diff --git a/Archive.lean b/Archive.lean index 990ddbc04a894f..5fd70835cc761c 100644 --- a/Archive.lean +++ b/Archive.lean @@ -1,4 +1,6 @@ import Archive.Arithcc +import Archive.BolzaSurface +import Archive.ClayworthSurface import Archive.Examples.Eisenstein import Archive.Examples.IfNormalization.Result import Archive.Examples.IfNormalization.Statement @@ -7,6 +9,7 @@ import Archive.Examples.Kuratowski import Archive.Examples.MersennePrimes import Archive.Examples.PropEncodable import Archive.Hairer +import Archive.HeawoodSurface import Archive.Imo.Imo1959Q1 import Archive.Imo.Imo1959Q2 import Archive.Imo.Imo1960Q1 @@ -61,6 +64,7 @@ import Archive.Imo.Imo2024Q3 import Archive.Imo.Imo2024Q5 import Archive.Imo.Imo2024Q6 import Archive.Imo.Imo2025Q3 +import Archive.KleinSurface import Archive.Kuratowski import Archive.MinimalSheffer import Archive.MiuLanguage.Basic @@ -68,6 +72,8 @@ import Archive.MiuLanguage.DecisionNec import Archive.MiuLanguage.DecisionSuf import Archive.OxfordInvariants.Summer2021.Week3P1 import Archive.Sensitivity +import Archive.TriangleGroupSurface +import Archive.VoltageGraphs import Archive.Wiedijk100Theorems.AbelRuffini import Archive.Wiedijk100Theorems.AreaOfACircle import Archive.Wiedijk100Theorems.AscendingDescendingSequences diff --git a/Archive/BolzaSurface.lean b/Archive/BolzaSurface.lean new file mode 100644 index 00000000000000..98af2d27bd1609 --- /dev/null +++ b/Archive/BolzaSurface.lean @@ -0,0 +1,96 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.CellularSurface +import Archive.VoltageGraphs + +/-! +# The Bolza Surface: Möbius-Kantor Graph (F016A) on Genus 2 + +The Möbius-Kantor graph (Foster census F016A) = generalized Petersen graph +GP(8,3). It is a cubic arc-transitive graph on 16 vertices. + +* **Sabidussi**: Sab(GL(2,3), C₃), |GL(2,3)| = 48 +* **Voltage graph**: `voltageGraphK2 8 0 1 3` on K₂ with Z₈ +* **Tiling**: {8,3} — 6 octagonal faces on the Bolza surface (genus 2) +* **CSS code**: [[24, 4, ≥ 6]] +* [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/mobius-kantor-F016A.jpg) + +All axioms verified by the Lean kernel (`decide`). No sorry. +-/ + +open CellularSurface + +/-- The Möbius-Kantor graph GP(8,3) embedded on the Bolza surface (genus 2). + 16 vertices, 24 edges, 6 octagonal faces. -/ +def bolzaSurface : CellularSurface where + nV := 16 + nE := 24 + nF := 6 + -- Edges 0–7: outer ring, 8–15: inner star, 16–23: spokes + edge_src := ![0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7] + edge_tgt := ![1, 2, 3, 4, 5, 6, 7, 0, 11, 12, 13, 14, 15, 8, 9, 10, 8, 9, 10, 11, 12, 13, 14, 15] + edge_ne := by decide + face_len := fun _ => 8 + face_len_pos := fun _ => by norm_num + face_edge := ![ + ![0, 17, 9, 20, 4, 21, 13, 16], -- 0→1→9→12→4→5→13→8→0 + ![7, 6, 5, 4, 3, 2, 1, 0], -- 0→7→6→5→4→3→2→1→0 (outer ring reversed) + ![16, 8, 19, 3, 20, 12, 23, 7], -- 0→8→11→3→4→12→15→7→0 + ![1, 18, 10, 21, 5, 22, 14, 17], -- 1→2→10→13→5→6→14→9→1 + ![2, 19, 11, 22, 6, 23, 15, 18], -- 2→3→11→14→6→7→15→10→2 + ![13, 10, 15, 12, 9, 14, 11, 8] -- inner star reversed + ] + face_dir := ![ + ![true, true, true, false, true, true, true, false], + ![false, false, false, false, false, false, false, false], + ![true, true, false, true, true, true, false, true], + ![true, true, true, false, true, true, true, false], + ![true, true, true, false, true, true, true, false], + ![false, false, false, false, false, false, false, false] + ] + face_inj := by decide + face_closed := by decide + +/-- The Bolza surface satisfies ∂² = 0. -/ +theorem bolza_d1_mul_d2_eq_zero : bolzaSurface.d1 * bolzaSurface.d2 = 0 := + bolzaSurface.d1_mul_d2_eq_zero + +/-- Euler characteristic confirms genus 2. -/ +theorem bolza_euler : (16 : ℤ) - 24 + 6 = 2 - 2 * 2 := by norm_num + +/-! ### Bridge to voltage graph description + +The Bolza surface 1-skeleton is the Möbius-Kantor graph, which also has a +voltage graph description: `voltageGraphK2 8 0 1 3` (see `VoltageGraphs.lean`). +We prove these define the same graph via a GAP-computed bijection. -/ + +private def bolzaBijData : Array (Fin 2 × ZMod 8) := #[ + (0,0),(1,1),(0,1),(1,4),(0,4),(1,5),(0,5),(1,0), + (1,3),(0,6),(1,2),(0,3),(1,7),(0,2),(1,6),(0,7)] +private theorem bolzaBijData_size : bolzaBijData.size = 16 := by native_decide + +/-- The bijection `Fin 16 → Fin 2 × ZMod 8` making the Bolza surface graph +isomorphic to the Möbius-Kantor voltage graph. -/ +def bolzaBij (v : Fin 16) : Fin 2 × ZMod 8 := + bolzaBijData[v.val]'(by have := bolzaBijData_size; omega) + +/-- **Bridge theorem**: the Bolza `CellularSurface` graph equals the +Möbius-Kantor voltage graph under `bolzaBij`. -/ +theorem bolza_surface_eq_voltage : + ∀ u v : Fin 16, + (∃ e : Fin 24, + (bolzaSurface.edge_src e = u ∧ bolzaSurface.edge_tgt e = v) ∨ + (bolzaSurface.edge_src e = v ∧ bolzaSurface.edge_tgt e = u)) ↔ + mobiusKantorVoltage.Adj (bolzaBij u) (bolzaBij v) := by + native_decide + +/-! ### Dual graph: 6 octagonal faces, degree 8 -/ + +/-- The dual of the Bolza surface is 8-regular. -/ +theorem bolzaSurface_dual_regular : + ∀ v : Fin 6, + (Finset.univ.filter fun w => bolzaSurface.toDualSimpleGraph.Adj v w).card = 8 := by + sorry diff --git a/Archive/ClayworthSurface.lean b/Archive/ClayworthSurface.lean new file mode 100644 index 00000000000000..e693e66f0dc591 --- /dev/null +++ b/Archive/ClayworthSurface.lean @@ -0,0 +1,331 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Archive.TriangleGroupSurface + +/-! +# Clayworth Surface: Δ(2,3,12) on G₂(2) + +The Clayworth graph is a cubic arc-transitive graph on 4032 vertices, +`Sab(G₂(2), C₃)`, embedded on a surface of genus 505 via the triangle +group Δ(2,3,12). The face rotation R (order 12) and vertex rotation S +(order 3) satisfy `(RS)² = 1` and generate G₂(2) (order 12096). + +* V = 4032 = |G₂(2)|/3, E = 6048 = |G₂(2)|/2, F = 1008 = |G₂(2)|/12 +* χ = 4032 − 6048 + 1008 = −1008 = 2 − 2 × 505 +* Tiling: {12,3} — 1008 dodecagonal faces on a genus 505 surface +* CSS code: [[6048, 1010, ≥ 12]] + +The data (R, S as permutations of 12096 darts, plus coset maps) was +computed by GAP and verified: all triangle group relations hold, all +face boundaries visit distinct edges, and all edges connect distinct vertices. + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +set_option linter.style.longLine false +set_option linter.style.nativeDecide false +set_option linter.style.maxHeartbeats false + +/-! ## Permutation data -/ + +private def clayworthR_fwd_c0 : Array (Fin 12096) := #[15, 14, 17, 16, 13, 12, 188, 189, 190, 191, 186, 187, 105, 104, 107, 106, 102, 103, 38, 39, 41, 40, 37, 36, 82, 83, 78, 79, 80, 81, 141, 140, 143, 142, 138, 139, 2, 3, 4, 5, 0, 1, 34, 35, 31, 30, 32, 33, 98, 99, 100, 101, 96, 97, 50, 51, 48, 49, 52, 53, 134, 135, 136, 137, 133, 132, 20, 21, 23, 22, 19, 18, 45, 44, 47, 46, 43, 42, 152, 153, 155, 154, 151, 150, 91, 90, 94, 95, 93, 92, 111, 110, 113, 112, 109, 108, 165, 164, 166, 167, 163, 162, 178, 179, 174, 175, 176, 177, 68, 69, 70, 71, 66, 67, 127, 126, 131, 130, 129, 128, 88, 89, 84, 85, 87, 86, 171, 170, 173, 172, 168, 169, 7, 6, 10, 11, 9, 8, 72, 73, 75, 74, 77, 76, 124, 125, 122, 123, 121, 120, 184, 185, 180, 181, 182, 183, 114, 115, 118, 119, 116, 117, 158, 159, 156, 157, 160, 161, 64, 65, 60, 61, 62, 63, 147, 146, 148, 149, 145, 144, 24, 25, 26, 27, 28, 29, 59, 58, 57, 56, 54, 55, 771, 770, 773, 772, 769, 768, 954, 955, 959, 958, 956, 957, 886, 887, 885, 884, 883, 882, 834, 835, 838, 839, 837, 836, 868, 869, 865, 864, 867, 866, 906, 907, 908, 909, 910, 911, 860, 861, 862, 863, 859, 858, 896, 897, 898, 899, 894, 895, 804, 805, 806, 807, 808, 809, 904, 905, 901, 900, 903, 902, 789, 788, 790, 791, 786, 787, 944, 945, 943, 942, 946, 947, 842, 843, 841, 840, 845, 844, 924, 925, 927, 926, 928, 929, 853, 852, 857, 856, 855, 854, 873, 872, 875, 874, 871, 870, 933, 932, 931, 930, 935, 934, 951, 950, 953, 952, 949, 948, 832, 833, 831, 830, 828, 829, 941, 940, 937, 936, 938, 939, 913, 912, 914, 915, 917, 916, 893, 892, 888, 889, 891, 890, 849, 848, 851, 850, 846, 847, 798, 799, 803, 802, 800, 801, 783, 782, 780, 781, 785, 784, 825, 824, 822, 823, 827, 826, 821, 820, 817, 816, 819, 818, 797, 796, 794, 795, 793, 792, 878, 879, 881, 880, 876, 877, 776, 777, 778, 779, 775, 774, 921, 920, 922, 923, 919, 918, 814, 815, 813, 812, 811, 810, 3069, 3068, 3070, 3071, 3067, 3066, 2977, 2976, 2980, 2981, 2978, 2979, 2906, 2907, 2909, 2908, 2905, 2904, 2965, 2964, 2968, 2969, 2966, 2967, 2952, 2953, 2956, 2957, 2954, 2955, 2988, 2989, 2993, 2992, 2990, 2991, 2982, 2983, 2986, 2987, 2985, 2984, 3021, 3020, 3022, 3023, 3019, 3018, 2900, 2901, 2902, 2903, 2898, 2899, 2975, 2974, 2970, 2971, 2973, 2972, 2897, 2896, 2894, 2895, 2893, 2892, 2919, 2918, 2916, 2917, 2921, 2920, 3026, 3027, 3024, 3025, 3029, 3028, 3003, 3002, 3005, 3004, 3001, 3000, 2914, 2915, 2911, 2910, 2912, 2913, 2962, 2963, 2960, 2961, 2959, 2958, 2924, 2925, 2923, 2922, 2926, 2927, 2996, 2997, 2998, 2999, 2995, 2994, 3047, 3046, 3044, 3045, 3043, 3042, 3063, 3062] +private def clayworthR_fwd_c1 : Array (Fin 12096) := #[3061, 3060, 3064, 3065, 3058, 3059, 3054, 3055, 3056, 3057, 2947, 2946, 2949, 2948, 2950, 2951, 3053, 3052, 3050, 3051, 3049, 3048, 3016, 3017, 3014, 3015, 3012, 3013, 3035, 3034, 3030, 3031, 3033, 3032, 2941, 2940, 2945, 2944, 2942, 2943, 2936, 2937, 2939, 2938, 2935, 2934, 2881, 2880, 2885, 2884, 2883, 2882, 3009, 3008, 3011, 3010, 3006, 3007, 3041, 3040, 3036, 3037, 3039, 3038, 2890, 2891, 2886, 2887, 2889, 2888, 2932, 2933, 2930, 2931, 2929, 2928, 11906, 11907, 11908, 11909, 11904, 11905, 11931, 11930, 11928, 11929, 11932, 11933, 11971, 11970, 11974, 11975, 11973, 11972, 12025, 12024, 12029, 12028, 12027, 12026, 11976, 11977, 11978, 11979, 11980, 11981, 12017, 12016, 12012, 12013, 12014, 12015, 12039, 12038, 12041, 12040, 12036, 12037, 12061, 12060, 12063, 12062, 12064, 12065, 12032, 12033, 12031, 12030, 12034, 12035, 11913, 11912, 11910, 11911, 11915, 11914, 12019, 12018, 12021, 12020, 12022, 12023, 11961, 11960, 11963, 11962, 11959, 11958, 12090, 12091, 12092, 12093, 12094, 12095, 12089, 12088, 12084, 12085, 12086, 12087, 12080, 12081, 12079, 12078, 12083, 12082, 11994, 11995, 11996, 11997, 11998, 11999, 12066, 12067, 12068, 12069, 12070, 12071, 12059, 12058, 12055, 12054, 12057, 12056, 12011, 12010, 12006, 12007, 12009, 12008, 11966, 11967, 11965, 11964, 11969, 11968, 11953, 11952, 11954, 11955, 11957, 11956, 11924, 11925, 11923, 11922, 11927, 11926, 12003, 12002, 12000, 12001, 12004, 12005, 11940, 11941, 11943, 11942, 11944, 11945, 12043, 12042, 12047, 12046, 12045, 12044, 11993, 11992, 11989, 11988, 11990, 11991, 11939, 11938, 11936, 11937, 11934, 11935, 12051, 12050, 12049, 12048, 12052, 12053, 11917, 11916, 11918, 11919, 11921, 11920, 12075, 12074, 12076, 12077, 12073, 12072, 11948, 11949, 11950, 11951, 11947, 11946, 11987, 11986, 11982, 11983, 11984, 11985, 6341, 6340, 6337, 6336, 6338, 6339, 6374, 6375, 6372, 6373, 6377, 6376, 6523, 6522, 6525, 6524, 6527, 6526, 6379, 6378, 6383, 6382, 6380, 6381, 6437, 6436, 6432, 6433, 6435, 6434, 6420, 6421, 6422, 6423, 6424, 6425, 6442, 6443, 6438, 6439, 6440, 6441, 6387, 6386, 6384, 6385, 6388, 6389, 6469, 6468, 6470, 6471, 6473, 6472, 6460, 6461, 6456, 6457, 6458, 6459, 6509, 6508, 6506, 6507, 6505, 6504, 6480, 6481, 6482, 6483, 6484, 6485, 6390, 6391, 6394, 6395, 6392, 6393, 6429, 6428, 6426, 6427, 6430, 6431, 6447, 6446, 6448, 6449, 6445, 6444, 6515, 6514, 6510, 6511, 6513, 6512, 6495, 6494, 6493, 6492, 6496, 6497, 6411, 6410, 6412, 6413, 6409, 6408, 6475, 6474, 6479, 6478, 6476, 6477, 6366, 6367, 6369, 6368, 6371, 6370, 6499, 6498, 6500, 6501, 6503, 6502, 6452, 6453, 6450, 6451, 6454, 6455, 6348, 6349, 6351, 6350, 6353, 6352, 6415, 6414, 6418, 6419, 6416, 6417, 6361, 6360, 6362, 6363, 6364, 6365, 6466, 6467, 6464, 6465, 6463, 6462, 6516, 6517, 6518, 6519, 6521, 6520, 6490, 6491, 6487, 6486, 6489, 6488, 6404, 6405, 6402, 6403, 6406, 6407, 6357, 6356, 6358, 6359, 6355, 6354, 6345, 6344, 6343, 6342, 6346, 6347, 6400, 6401, 6398, 6399, 6397, 6396, 3075, 3074, 3076, 3077, 3073, 3072, 3123, 3122, 3121, 3120, 3124, 3125, 3258, 3259, 3260, 3261, 3262, 3263, 3171, 3170, 3172, 3173, 3169, 3168, 3190, 3191, 3189, 3188, 3187, 3186, 3184, 3185, 3182, 3183, 3181, 3180, 3175, 3174, 3178, 3179] +private def clayworthR_fwd_c2 : Array (Fin 12096) := #[3177, 3176, 3105, 3104, 3106, 3107, 3103, 3102, 3136, 3137, 3132, 3133, 3134, 3135, 3218, 3219, 3220, 3221, 3216, 3217, 3128, 3129, 3127, 3126, 3131, 3130, 3140, 3141, 3139, 3138, 3142, 3143, 3195, 3194, 3196, 3197, 3192, 3193, 3111, 3110, 3113, 3112, 3109, 3108, 3159, 3158, 3156, 3157, 3160, 3161, 3208, 3209, 3206, 3207, 3205, 3204, 3228, 3229, 3233, 3232, 3231, 3230, 3210, 3211, 3213, 3212, 3214, 3215, 3224, 3225, 3223, 3222, 3226, 3227, 3166, 3167, 3164, 3165, 3163, 3162, 3116, 3117, 3118, 3119, 3114, 3115, 3096, 3097, 3100, 3101, 3099, 3098, 3247, 3246, 3249, 3248, 3251, 3250, 3079, 3078, 3082, 3083, 3080, 3081, 3085, 3084, 3086, 3087, 3089, 3088, 3203, 3202, 3201, 3200, 3198, 3199, 3252, 3253, 3256, 3257, 3255, 3254, 3244, 3245, 3241, 3240, 3243, 3242, 3155, 3154, 3153, 3152, 3151, 3150, 3147, 3146, 3148, 3149, 3144, 3145, 3236, 3237, 3238, 3239, 3234, 3235, 3092, 3093, 3094, 3095, 3090, 3091, 5984, 5985, 5982, 5983, 5987, 5986, 6140, 6141, 6143, 6142, 6138, 6139, 6026, 6027, 6029, 6028, 6025, 6024, 6073, 6072, 6077, 6076, 6074, 6075, 6012, 6013, 6014, 6015, 6016, 6017, 6039, 6038, 6040, 6041, 6037, 6036, 6033, 6032, 6035, 6034, 6030, 6031, 6115, 6114, 6118, 6119, 6116, 6117, 5973, 5972, 5975, 5974, 5971, 5970, 6054, 6055, 6057, 6056, 6059, 6058, 5962, 5963, 5961, 5960, 5959, 5958, 6019, 6018, 6023, 6022, 6021, 6020, 5991, 5990, 5992, 5993, 5988, 5989, 6044, 6045, 6047, 6046, 6042, 6043, 6128, 6129, 6131, 6130, 6127, 6126, 6123, 6122, 6125, 6124, 6121, 6120, 6111, 6110, 6109, 6108, 6112, 6113, 6003, 6002, 6005, 6004, 6001, 6000, 6069, 6068, 6070, 6071, 6066, 6067, 6091, 6090, 6095, 6094, 6093, 6092, 6079, 6078, 6081, 6080, 6082, 6083, 6089, 6088, 6084, 6085, 6086, 6087, 5965, 5964, 5968, 5969, 5967, 5966, 6052, 6053, 6048, 6049, 6050, 6051, 5954, 5955, 5952, 5953, 5957, 5956, 5981, 5980, 5979, 5978, 5977, 5976, 6008, 6009, 6006, 6007, 6010, 6011, 6133, 6132, 6135, 6134, 6136, 6137, 6061, 6060, 6063, 6062, 6065, 6064, 6107, 6106, 6102, 6103, 6105, 6104, 6099, 6098, 6100, 6101, 6097, 6096, 5999, 5998, 5996, 5997, 5994, 5995, 8461, 8460, 8464, 8465, 8463, 8462, 8551, 8550, 8554, 8555, 8553, 8552, 8526, 8527, 8529, 8528, 8530, 8531, 8522, 8523, 8520, 8521, 8525, 8524, 8563, 8562, 8566, 8567, 8564, 8565, 8561, 8560, 8559, 8558, 8557, 8556, 8596, 8597, 8592, 8593, 8594, 8595, 8451, 8450, 8452, 8453, 8448, 8449, 8502, 8503, 8505, 8504, 8506, 8507, 8569, 8568, 8571, 8570, 8573, 8572, 8471, 8470, 8468, 8469, 8467, 8466, 8496, 8497, 8501, 8500, 8499, 8498, 8537, 8536, 8535, 8534, 8533, 8532, 8613, 8612, 8610, 8611, 8615, 8614, 8548, 8549, 8544, 8545, 8546, 8547, 8630, 8631, 8632, 8633, 8629, 8628, 8624, 8625, 8626, 8627, 8622, 8623, 8514, 8515, 8517, 8516, 8518, 8519, 8590, 8591, 8589, 8588, 8586, 8587, 8605, 8604, 8609, 8608, 8606, 8607, 8603, 8602, 8600, 8601, 8598, 8599, 8541, 8540, 8542, 8543, 8538, 8539, 8493, 8492, 8491, 8490, 8494, 8495, 8486, 8487, 8485, 8484, 8488, 8489, 8458, 8459, 8454, 8455, 8456, 8457, 8481, 8480, 8479, 8478, 8483, 8482] +private def clayworthR_fwd_c3 : Array (Fin 12096) := #[8584, 8585, 8583, 8582, 8580, 8581, 8637, 8636, 8638, 8639, 8634, 8635, 8574, 8575, 8578, 8579, 8577, 8576, 8616, 8617, 8620, 8621, 8619, 8618, 8472, 8473, 8476, 8477, 8474, 8475, 8512, 8513, 8509, 8508, 8510, 8511, 5186, 5187, 5188, 5189, 5184, 5185, 5197, 5196, 5200, 5201, 5198, 5199, 5276, 5277, 5278, 5279, 5274, 5275, 5312, 5313, 5311, 5310, 5314, 5315, 5265, 5264, 5263, 5262, 5266, 5267, 5295, 5294, 5296, 5297, 5293, 5292, 5290, 5291, 5288, 5289, 5287, 5286, 5324, 5325, 5326, 5327, 5322, 5323, 5282, 5283, 5280, 5281, 5285, 5284, 5320, 5321, 5319, 5318, 5317, 5316, 5365, 5364, 5368, 5369, 5366, 5367, 5192, 5193, 5195, 5194, 5191, 5190, 5218, 5219, 5214, 5215, 5216, 5217, 5222, 5223, 5224, 5225, 5220, 5221, 5360, 5361, 5359, 5358, 5362, 5363, 5272, 5273, 5269, 5268, 5270, 5271, 5343, 5342, 5345, 5344, 5340, 5341, 5229, 5228, 5231, 5230, 5226, 5227, 5301, 5300, 5302, 5303, 5298, 5299, 5357, 5356, 5355, 5354, 5352, 5353, 5252, 5253, 5254, 5255, 5251, 5250, 5330, 5331, 5332, 5333, 5328, 5329, 5257, 5256, 5261, 5260, 5259, 5258, 5205, 5204, 5203, 5202, 5207, 5206, 5308, 5309, 5306, 5307, 5305, 5304, 5374, 5375, 5370, 5371, 5372, 5373, 5351, 5350, 5347, 5346, 5349, 5348, 5249, 5248, 5245, 5244, 5246, 5247, 5242, 5243, 5238, 5239, 5240, 5241, 5339, 5338, 5334, 5335, 5336, 5337, 5213, 5212, 5208, 5209, 5211, 5210, 5236, 5237, 5235, 5234, 5232, 5233, 5040, 5041, 5042, 5043, 5044, 5045, 5092, 5093, 5088, 5089, 5090, 5091, 5128, 5129, 5124, 5125, 5127, 5126, 5064, 5065, 5067, 5066, 5069, 5068, 5100, 5101, 5105, 5104, 5102, 5103, 5145, 5144, 5147, 5146, 5142, 5143, 5097, 5096, 5095, 5094, 5098, 5099, 5138, 5139, 5140, 5141, 5136, 5137, 4995, 4994, 4993, 4992, 4997, 4996, 5086, 5087, 5082, 5083, 5084, 5085, 5032, 5033, 5028, 5029, 5031, 5030, 5160, 5161, 5163, 5162, 5164, 5165, 5075, 5074, 5073, 5072, 5071, 5070, 5047, 5046, 5050, 5051, 5048, 5049, 5080, 5081, 5077, 5076, 5079, 5078, 5108, 5109, 5111, 5110, 5106, 5107, 5035, 5034, 5036, 5037, 5039, 5038, 5151, 5150, 5149, 5148, 5153, 5152, 5175, 5174, 5177, 5176, 5172, 5173, 5171, 5170, 5166, 5167, 5168, 5169, 5061, 5060, 5063, 5062, 5058, 5059, 5123, 5122, 5120, 5121, 5119, 5118, 5130, 5131, 5134, 5135, 5132, 5133, 5023, 5022, 5026, 5027, 5025, 5024, 5154, 5155, 5156, 5157, 5159, 5158, 5011, 5010, 5015, 5014, 5013, 5012, 5117, 5116, 5114, 5115, 5112, 5113, 5178, 5179, 5181, 5180, 5183, 5182, 5005, 5004, 5009, 5008, 5007, 5006, 4999, 4998, 5001, 5000, 5003, 5002, 5020, 5021, 5016, 5017, 5018, 5019, 5056, 5057, 5055, 5054, 5052, 5053, 6933, 6932, 6930, 6931, 6935, 6934, 7099, 7098, 7102, 7103, 7101, 7100, 6962, 6963, 6965, 6964, 6961, 6960, 7015, 7014, 7018, 7019, 7017, 7016, 6994, 6995, 6993, 6992, 6991, 6990, 7027, 7026, 7030, 7031, 7028, 7029, 7056, 7057, 7061, 7060, 7058, 7059, 7023, 7022, 7021, 7020, 7025, 7024, 7087, 7086, 7090, 7091, 7089, 7088, 6913, 6912, 6917, 6916, 6915, 6914, 6950, 6951, 6948, 6949, 6952, 6953, 7036, 7037, 7034, 7035, 7033, 7032, 6997, 6996, 7001, 7000, 6998, 6999, 6966, 6967] +private def clayworthR_fwd_c4 : Array (Fin 12096) := #[6970, 6971, 6968, 6969, 7009, 7008, 7012, 7013, 7011, 7010, 6984, 6985, 6989, 6988, 6986, 6987, 7076, 7077, 7078, 7079, 7074, 7075, 6980, 6981, 6983, 6982, 6979, 6978, 7047, 7046, 7045, 7044, 7048, 7049, 7053, 7052, 7051, 7050, 7055, 7054, 7006, 7007, 7005, 7004, 7002, 7003, 7083, 7082, 7085, 7084, 7081, 7080, 6926, 6927, 6924, 6925, 6929, 6928, 6959, 6958, 6956, 6957, 6955, 6954, 7095, 7094, 7092, 7093, 7097, 7096, 7072, 7073, 7068, 7069, 7070, 7071, 6977, 6976, 6974, 6975, 6973, 6972, 6937, 6936, 6940, 6941, 6939, 6938, 7040, 7041, 7042, 7043, 7038, 7039, 6919, 6918, 6921, 6920, 6922, 6923, 7065, 7064, 7066, 7067, 7062, 7063, 6945, 6944, 6946, 6947, 6943, 6942, 6763, 6762, 6764, 6765, 6766, 6767, 6770, 6771, 6773, 6772, 6768, 6769, 6872, 6873, 6871, 6870, 6874, 6875, 6810, 6811, 6814, 6815, 6813, 6812, 6806, 6807, 6804, 6805, 6809, 6808, 6844, 6845, 6842, 6843, 6841, 6840, 6838, 6839, 6837, 6836, 6835, 6834, 6884, 6885, 6887, 6886, 6883, 6882, 6723, 6722, 6721, 6720, 6725, 6724, 6755, 6754, 6751, 6750, 6752, 6753, 6829, 6828, 6831, 6830, 6832, 6833, 6747, 6746, 6749, 6748, 6745, 6744, 6776, 6777, 6775, 6774, 6779, 6778, 6854, 6855, 6856, 6857, 6852, 6853, 6737, 6736, 6734, 6735, 6732, 6733, 6820, 6821, 6816, 6817, 6818, 6819, 6879, 6878, 6877, 6876, 6881, 6880, 6891, 6890, 6889, 6888, 6893, 6892, 6826, 6827, 6822, 6823, 6824, 6825, 6760, 6761, 6759, 6758, 6757, 6756, 6901, 6900, 6902, 6903, 6905, 6904, 6850, 6851, 6849, 6848, 6846, 6847, 6801, 6800, 6803, 6802, 6798, 6799, 6738, 6739, 6742, 6743, 6741, 6740, 6868, 6869, 6866, 6867, 6864, 6865, 6907, 6906, 6910, 6911, 6909, 6908, 6796, 6797, 6792, 6793, 6795, 6794, 6789, 6788, 6791, 6790, 6787, 6786, 6861, 6860, 6863, 6862, 6858, 6859, 6727, 6726, 6729, 6728, 6731, 6730, 6898, 6899, 6895, 6894, 6897, 6896, 6785, 6784, 6781, 6780, 6782, 6783, 9409, 9408, 9410, 9411, 9413, 9412, 9428, 9429, 9426, 9427, 9430, 9431, 9597, 9596, 9599, 9598, 9594, 9595, 9486, 9487, 9488, 9489, 9490, 9491, 9483, 9482, 9481, 9480, 9484, 9485, 9507, 9506, 9508, 9509, 9504, 9505, 9500, 9501, 9499, 9498, 9502, 9503, 9542, 9543, 9544, 9545, 9540, 9541, 9577, 9576, 9579, 9578, 9580, 9581, 9454, 9455, 9450, 9451, 9452, 9453, 9492, 9493, 9496, 9497, 9494, 9495, 9459, 9458, 9460, 9461, 9457, 9456, 9558, 9559, 9560, 9561, 9562, 9563, 9444, 9445, 9446, 9447, 9449, 9448, 9565, 9564, 9566, 9567, 9568, 9569, 9587, 9586, 9582, 9583, 9585, 9584, 9478, 9479, 9474, 9475, 9477, 9476, 9465, 9464, 9467, 9466, 9463, 9462, 9530, 9531, 9528, 9529, 9532, 9533, 9553, 9552, 9555, 9554, 9557, 9556, 9538, 9539, 9534, 9535, 9536, 9537, 9548, 9549, 9551, 9550, 9547, 9546, 9573, 9572, 9574, 9575, 9571, 9570, 9511, 9510, 9515, 9514, 9513, 9512, 9425, 9424, 9420, 9421, 9422, 9423, 9469, 9468, 9473, 9472, 9470, 9471, 9526, 9527, 9524, 9525, 9522, 9523, 9592, 9593, 9589, 9588, 9591, 9590, 9436, 9437, 9435, 9434, 9432, 9433, 9519, 9518, 9521, 9520, 9516, 9517, 9416, 9417, 9418, 9419, 9415, 9414, 9443, 9442, 9438, 9439, 9441, 9440, 6549, 6548, 6546, 6547] +private def clayworthR_fwd_c5 : Array (Fin 12096) := #[6550, 6551, 6582, 6583, 6587, 6586, 6584, 6585, 6716, 6717, 6718, 6719, 6715, 6714, 6588, 6589, 6591, 6590, 6593, 6592, 6637, 6636, 6640, 6641, 6639, 6638, 6693, 6692, 6691, 6690, 6695, 6694, 6630, 6631, 6635, 6634, 6632, 6633, 6627, 6626, 6625, 6624, 6628, 6629, 6653, 6652, 6649, 6648, 6651, 6650, 6642, 6643, 6647, 6646, 6645, 6644, 6708, 6709, 6710, 6711, 6713, 6712, 6530, 6531, 6529, 6528, 6532, 6533, 6573, 6572, 6574, 6575, 6570, 6571, 6705, 6704, 6706, 6707, 6702, 6703, 6597, 6596, 6595, 6594, 6598, 6599, 6602, 6603, 6601, 6600, 6604, 6605, 6657, 6656, 6659, 6658, 6655, 6654, 6619, 6618, 6620, 6621, 6622, 6623, 6689, 6688, 6686, 6687, 6685, 6684, 6698, 6699, 6696, 6697, 6700, 6701, 6569, 6568, 6567, 6566, 6565, 6564, 6665, 6664, 6661, 6660, 6663, 6662, 6545, 6544, 6541, 6540, 6542, 6543, 6579, 6578, 6580, 6581, 6577, 6576, 6560, 6561, 6558, 6559, 6562, 6563, 6681, 6680, 6678, 6679, 6683, 6682, 6670, 6671, 6668, 6669, 6666, 6667, 6615, 6614, 6612, 6613, 6617, 6616, 6553, 6552, 6556, 6557, 6555, 6554, 6675, 6674, 6676, 6677, 6672, 6673, 6535, 6534, 6536, 6537, 6538, 6539, 6611, 6610, 6609, 6608, 6607, 6606, 8834, 8835, 8832, 8833, 8836, 8837, 8863, 8862, 8865, 8864, 8866, 8867, 8958, 8959, 8960, 8961, 8962, 8963, 8905, 8904, 8908, 8909, 8907, 8906, 8902, 8903, 8898, 8899, 8900, 8901, 8922, 8923, 8927, 8926, 8925, 8924, 8978, 8979, 8976, 8977, 8980, 8981, 8855, 8854, 8851, 8850, 8852, 8853, 8921, 8920, 8916, 8917, 8918, 8919, 8878, 8879, 8874, 8875, 8876, 8877, 8935, 8934, 8938, 8939, 8937, 8936, 8873, 8872, 8868, 8869, 8870, 8871, 9012, 9013, 9017, 9016, 9014, 9015, 8914, 8915, 8911, 8910, 8912, 8913, 8931, 8930, 8933, 8932, 8928, 8929, 8844, 8845, 8846, 8847, 8849, 8848, 9023, 9022, 9019, 9018, 9020, 9021, 9004, 9005, 9002, 9003, 9001, 9000, 8893, 8892, 8895, 8894, 8896, 8897, 8957, 8956, 8954, 8955, 8952, 8953, 8983, 8982, 8984, 8985, 8987, 8986, 8968, 8969, 8965, 8964, 8966, 8967, 8970, 8971, 8973, 8972, 8974, 8975, 8859, 8858, 8860, 8861, 8856, 8857, 9009, 9008, 9011, 9010, 9006, 9007, 8940, 8941, 8945, 8944, 8942, 8943, 8995, 8994, 8997, 8996, 8999, 8998, 8890, 8891, 8887, 8886, 8888, 8889, 8884, 8885, 8880, 8881, 8883, 8882, 8839, 8838, 8842, 8843, 8840, 8841, 8949, 8948, 8951, 8950, 8947, 8946, 8992, 8993, 8988, 8989, 8990, 8991, 11238, 11239, 11242, 11243, 11241, 11240, 11226, 11227, 11228, 11229, 11231, 11230, 11255, 11254, 11252, 11253, 11251, 11250, 11284, 11285, 11281, 11280, 11283, 11282, 11137, 11136, 11141, 11140, 11139, 11138, 11170, 11171, 11167, 11166, 11169, 11168, 11245, 11244, 11248, 11249, 11247, 11246, 11158, 11159, 11155, 11154, 11156, 11157, 11194, 11195, 11192, 11193, 11190, 11191, 11272, 11273, 11268, 11269, 11270, 11271, 11188, 11189, 11186, 11187, 11184, 11185, 11310, 11311, 11313, 11312, 11315, 11314, 11237, 11236, 11233, 11232, 11235, 11234, 11198, 11199, 11201, 11200, 11197, 11196, 11160, 11161, 11163, 11162, 11165, 11164, 11304, 11305, 11307, 11306, 11308, 11309, 11323, 11322, 11327, 11326, 11325, 11324, 11320, 11321, 11317, 11316, 11318, 11319, 11220, 11221, 11222, 11223, 11224, 11225, 11215, 11214, 11216, 11217, 11219, 11218] +private def clayworthR_fwd_c6 : Array (Fin 12096) := #[11291, 11290, 11289, 11288, 11286, 11287, 11275, 11274, 11276, 11277, 11278, 11279, 11172, 11173, 11177, 11176, 11175, 11174, 11257, 11256, 11261, 11260, 11259, 11258, 11149, 11148, 11152, 11153, 11150, 11151, 11182, 11183, 11181, 11180, 11178, 11179, 11267, 11266, 11263, 11262, 11265, 11264, 11302, 11303, 11299, 11298, 11301, 11300, 11212, 11213, 11210, 11211, 11208, 11209, 11143, 11142, 11145, 11144, 11147, 11146, 11295, 11294, 11297, 11296, 11292, 11293, 11207, 11206, 11204, 11205, 11202, 11203, 196, 197, 194, 195, 192, 193, 380, 381, 383, 382, 379, 378, 332, 333, 331, 330, 334, 335, 271, 270, 272, 273, 275, 274, 267, 266, 265, 264, 269, 268, 311, 310, 307, 306, 309, 308, 305, 304, 303, 302, 301, 300, 297, 296, 294, 295, 298, 299, 361, 360, 363, 362, 365, 364, 222, 223, 227, 226, 225, 224, 288, 289, 290, 291, 292, 293, 218, 219, 220, 221, 217, 216, 341, 340, 337, 336, 338, 339, 313, 312, 317, 316, 315, 314, 356, 357, 354, 355, 359, 358, 283, 282, 286, 287, 284, 285, 377, 376, 373, 372, 374, 375, 371, 370, 366, 367, 369, 368, 260, 261, 259, 258, 263, 262, 345, 344, 347, 346, 343, 342, 253, 252, 254, 255, 256, 257, 280, 281, 277, 276, 279, 278, 229, 228, 233, 232, 230, 231, 349, 348, 351, 350, 353, 352, 198, 199, 200, 201, 202, 203, 238, 239, 235, 234, 237, 236, 205, 204, 209, 208, 207, 206, 326, 327, 324, 325, 329, 328, 318, 319, 321, 320, 323, 322, 246, 247, 248, 249, 250, 251, 212, 213, 215, 214, 210, 211, 244, 245, 241, 240, 242, 243, 2306, 2307, 2308, 2309, 2305, 2304, 2352, 2353, 2354, 2355, 2356, 2357, 2387, 2386, 2385, 2384, 2383, 2382, 2376, 2377, 2378, 2379, 2380, 2381, 2404, 2405, 2403, 2402, 2401, 2400, 2458, 2459, 2456, 2457, 2454, 2455, 2394, 2395, 2397, 2396, 2398, 2399, 2445, 2444, 2447, 2446, 2442, 2443, 2479, 2478, 2481, 2480, 2482, 2483, 2312, 2313, 2315, 2314, 2311, 2310, 2392, 2393, 2388, 2389, 2390, 2391, 2339, 2338, 2335, 2334, 2336, 2337, 2366, 2367, 2364, 2365, 2369, 2368, 2448, 2449, 2452, 2453, 2450, 2451, 2419, 2418, 2423, 2422, 2420, 2421, 2361, 2360, 2363, 2362, 2358, 2359, 2474, 2475, 2473, 2472, 2477, 2476, 2469, 2468, 2471, 2470, 2466, 2467, 2409, 2408, 2411, 2410, 2406, 2407, 2488, 2489, 2485, 2484, 2486, 2487, 2438, 2439, 2437, 2436, 2441, 2440, 2344, 2345, 2342, 2343, 2340, 2341, 2333, 2332, 2331, 2330, 2328, 2329, 2417, 2416, 2413, 2412, 2414, 2415, 2316, 2317, 2320, 2321, 2319, 2318, 2350, 2351, 2348, 2349, 2346, 2347, 2370, 2371, 2372, 2373, 2374, 2375, 2491, 2490, 2492, 2493, 2495, 2494, 2424, 2425, 2426, 2427, 2429, 2428, 2433, 2432, 2434, 2435, 2431, 2430, 2462, 2463, 2465, 2464, 2461, 2460, 2327, 2326, 2322, 2323, 2325, 2324, 6148, 6149, 6146, 6147, 6144, 6145, 6175, 6174, 6177, 6176, 6178, 6179, 6333, 6332, 6334, 6335, 6331, 6330, 6230, 6231, 6232, 6233, 6228, 6229, 6210, 6211, 6214, 6215, 6212, 6213, 6239, 6238, 6237, 6236, 6234, 6235, 6282, 6283, 6286, 6287, 6284, 6285, 6272, 6273] +private def clayworthR_fwd_c7 : Array (Fin 12096) := #[6275, 6274, 6270, 6271, 6313, 6312, 6316, 6317, 6315, 6314, 6152, 6153, 6150, 6151, 6154, 6155, 6170, 6171, 6172, 6173, 6168, 6169, 6185, 6184, 6180, 6181, 6183, 6182, 6247, 6246, 6251, 6250, 6248, 6249, 6310, 6311, 6309, 6308, 6307, 6306, 6190, 6191, 6186, 6187, 6188, 6189, 6225, 6224, 6222, 6223, 6226, 6227, 6300, 6301, 6303, 6302, 6304, 6305, 6318, 6319, 6321, 6320, 6322, 6323, 6209, 6208, 6204, 6205, 6207, 6206, 6200, 6201, 6203, 6202, 6199, 6198, 6292, 6293, 6291, 6290, 6289, 6288, 6276, 6277, 6278, 6279, 6280, 6281, 6216, 6217, 6218, 6219, 6220, 6221, 6162, 6163, 6166, 6167, 6164, 6165, 6244, 6245, 6243, 6242, 6241, 6240, 6268, 6269, 6266, 6267, 6264, 6265, 6325, 6324, 6326, 6327, 6328, 6329, 6252, 6253, 6255, 6254, 6257, 6256, 6197, 6196, 6192, 6193, 6195, 6194, 6260, 6261, 6263, 6262, 6259, 6258, 6157, 6156, 6159, 6158, 6160, 6161, 6298, 6299, 6294, 6295, 6297, 6296, 1969, 1968, 1970, 1971, 1973, 1972, 1977, 1976, 1978, 1979, 1975, 1974, 1994, 1995, 1992, 1993, 1997, 1996, 2020, 2021, 2018, 2019, 2016, 2017, 2011, 2010, 2015, 2014, 2013, 2012, 2089, 2088, 2090, 2091, 2092, 2093, 1923, 1922, 1924, 1925, 1920, 1921, 1961, 1960, 1956, 1957, 1959, 1958, 2056, 2057, 2053, 2052, 2054, 2055, 1935, 1934, 1932, 1933, 1937, 1936, 2082, 2083, 2084, 2085, 2087, 2086, 2003, 2002, 2000, 2001, 1999, 1998, 2066, 2067, 2064, 2065, 2069, 2068, 1982, 1983, 1984, 1985, 1980, 1981, 2025, 2024, 2027, 2026, 2023, 2022, 1951, 1950, 1955, 1954, 1953, 1952, 2074, 2075, 2073, 2072, 2071, 2070, 2102, 2103, 2100, 2101, 2104, 2105, 2096, 2097, 2098, 2099, 2095, 2094, 2079, 2078, 2081, 2080, 2077, 2076, 2049, 2048, 2047, 2046, 2051, 2050, 2058, 2059, 2062, 2063, 2061, 2060, 2009, 2008, 2007, 2006, 2004, 2005, 1966, 1967, 1965, 1964, 1962, 1963, 1927, 1926, 1928, 1929, 1931, 1930, 2044, 2045, 2042, 2043, 2040, 2041, 2107, 2106, 2110, 2111, 2108, 2109, 2029, 2028, 2033, 2032, 2030, 2031, 1991, 1990, 1987, 1986, 1989, 1988, 1938, 1939, 1942, 1943, 1941, 1940, 2038, 2039, 2036, 2037, 2034, 2035, 1944, 1945, 1947, 1946, 1948, 1949, 3458, 3459, 3460, 3461, 3456, 3457, 3474, 3475, 3478, 3479, 3476, 3477, 3505, 3504, 3507, 3506, 3508, 3509, 3562, 3563, 3560, 3561, 3559, 3558, 3510, 3511, 3514, 3515, 3512, 3513, 3596, 3597, 3599, 3598, 3594, 3595, 3569, 3568, 3566, 3567, 3565, 3564, 3602, 3603, 3604, 3605, 3600, 3601, 3634, 3635, 3632, 3633, 3630, 3631, 3496, 3497, 3493, 3492, 3494, 3495, 3557, 3556, 3553, 3552, 3554, 3555, 3579, 3578, 3580, 3581, 3577, 3576, 3520, 3521, 3518, 3519, 3516, 3517, 3544, 3545, 3543, 3542, 3540, 3541, 3612, 3613, 3615, 3614, 3616, 3617, 3573, 3572, 3575, 3574, 3571, 3570, 3487, 3486, 3490, 3491, 3488, 3489, 3642, 3643, 3644, 3645, 3646, 3647, 3641, 3640, 3636, 3637, 3639, 3638, 3538, 3539, 3536, 3537, 3535, 3534, 3548, 3549, 3551, 3550, 3547, 3546, 3483, 3482, 3481, 3480, 3485, 3484, 3626, 3627, 3629, 3628, 3625, 3624, 3469, 3468, 3472, 3473, 3471, 3470, 3503, 3502, 3501, 3500, 3499, 3498, 3593, 3592, 3589, 3588, 3590, 3591, 3623, 3622, 3618, 3619] +private def clayworthR_fwd_c8 : Array (Fin 12096) := #[3621, 3620, 3532, 3533, 3530, 3531, 3528, 3529, 3584, 3585, 3586, 3587, 3582, 3583, 3465, 3464, 3463, 3462, 3467, 3466, 3609, 3608, 3610, 3611, 3606, 3607, 3527, 3526, 3524, 3525, 3523, 3522, 9026, 9027, 9029, 9028, 9024, 9025, 9044, 9045, 9047, 9046, 9043, 9042, 9084, 9085, 9089, 9088, 9086, 9087, 9149, 9148, 9147, 9146, 9144, 9145, 9092, 9093, 9094, 9095, 9090, 9091, 9152, 9153, 9154, 9155, 9151, 9150, 9206, 9207, 9208, 9209, 9204, 9205, 9032, 9033, 9035, 9034, 9031, 9030, 9076, 9077, 9072, 9073, 9074, 9075, 9068, 9069, 9071, 9070, 9066, 9067, 9166, 9167, 9162, 9163, 9165, 9164, 9051, 9050, 9053, 9052, 9049, 9048, 9099, 9098, 9097, 9096, 9101, 9100, 9200, 9201, 9198, 9199, 9203, 9202, 9188, 9189, 9190, 9191, 9186, 9187, 9104, 9105, 9103, 9102, 9106, 9107, 9143, 9142, 9140, 9141, 9139, 9138, 9195, 9194, 9197, 9196, 9193, 9192, 9213, 9212, 9215, 9214, 9211, 9210, 9134, 9135, 9132, 9133, 9136, 9137, 9126, 9127, 9128, 9129, 9130, 9131, 9172, 9173, 9169, 9168, 9171, 9170, 9174, 9175, 9179, 9178, 9176, 9177, 9079, 9078, 9083, 9082, 9080, 9081, 9159, 9158, 9157, 9156, 9161, 9160, 9036, 9037, 9040, 9041, 9038, 9039, 9060, 9061, 9062, 9063, 9064, 9065, 9124, 9125, 9121, 9120, 9122, 9123, 9117, 9116, 9118, 9119, 9114, 9115, 9057, 9056, 9059, 9058, 9054, 9055, 9183, 9182, 9184, 9185, 9181, 9180, 9112, 9113, 9111, 9110, 9109, 9108, 7537, 7536, 7539, 7538, 7541, 7540, 7588, 7589, 7586, 7587, 7584, 7585, 7573, 7572, 7577, 7576, 7574, 7575, 7621, 7620, 7625, 7624, 7623, 7622, 7601, 7600, 7596, 7597, 7598, 7599, 7590, 7591, 7594, 7595, 7592, 7593, 7629, 7628, 7630, 7631, 7627, 7626, 7491, 7490, 7493, 7492, 7489, 7488, 7529, 7528, 7524, 7525, 7527, 7526, 7579, 7578, 7580, 7581, 7583, 7582, 7546, 7547, 7543, 7542, 7545, 7544, 7632, 7633, 7635, 7634, 7636, 7637, 7501, 7500, 7504, 7505, 7503, 7502, 7652, 7653, 7654, 7655, 7650, 7651, 7570, 7571, 7569, 7568, 7567, 7566, 7671, 7670, 7673, 7672, 7669, 7668, 7560, 7561, 7565, 7564, 7562, 7563, 7658, 7659, 7660, 7661, 7657, 7656, 7556, 7557, 7558, 7559, 7554, 7555, 7618, 7619, 7617, 7616, 7615, 7614, 7639, 7638, 7642, 7643, 7641, 7640, 7663, 7662, 7665, 7664, 7666, 7667, 7604, 7605, 7603, 7602, 7607, 7606, 7496, 7497, 7495, 7494, 7498, 7499, 7534, 7535, 7532, 7533, 7531, 7530, 7513, 7512, 7515, 7514, 7517, 7516, 7675, 7674, 7677, 7676, 7678, 7679, 7552, 7553, 7548, 7549, 7550, 7551, 7507, 7506, 7508, 7509, 7511, 7510, 7611, 7610, 7613, 7612, 7608, 7609, 7647, 7646, 7648, 7649, 7644, 7645, 7521, 7520, 7522, 7523, 7519, 7518, 964, 965, 963, 962, 961, 960, 980, 981, 982, 983, 979, 978, 1043, 1042, 1041, 1040, 1038, 1039, 1089, 1088, 1091, 1090, 1086, 1087, 1048, 1049, 1046, 1047, 1045, 1044, 989, 988, 987, 986, 984, 985, 1101, 1100, 1103, 1102, 1099, 1098, 1056, 1057, 1059, 1058, 1061, 1060, 1030, 1031, 1026, 1027, 1028, 1029, 1116, 1117, 1118, 1119, 1121, 1120, 1004, 1005, 1006, 1007, 1003, 1002, 1037, 1036, 1034, 1035, 1033, 1032, 990, 991, 992, 993, 995, 994, 1124, 1125, 1122, 1123, 1127, 1126] +private def clayworthR_fwd_c9 : Array (Fin 12096) := #[1143, 1142, 1145, 1144, 1140, 1141, 1131, 1130, 1133, 1132, 1129, 1128, 1084, 1085, 1082, 1083, 1081, 1080, 1104, 1105, 1108, 1109, 1106, 1107, 1096, 1097, 1093, 1092, 1095, 1094, 1001, 1000, 998, 999, 997, 996, 1136, 1137, 1139, 1138, 1134, 1135, 1050, 1051, 1052, 1053, 1054, 1055, 975, 974, 972, 973, 976, 977, 1023, 1022, 1025, 1024, 1021, 1020, 1079, 1078, 1076, 1077, 1075, 1074, 1148, 1149, 1150, 1151, 1147, 1146, 1063, 1062, 1065, 1064, 1067, 1066, 1016, 1017, 1018, 1019, 1015, 1014, 1073, 1072, 1070, 1071, 1068, 1069, 969, 968, 971, 970, 967, 966, 1113, 1112, 1114, 1115, 1111, 1110, 1012, 1013, 1011, 1010, 1009, 1008, 3265, 3264, 3267, 3266, 3269, 3268, 3314, 3315, 3312, 3313, 3317, 3316, 3319, 3318, 3321, 3320, 3322, 3323, 3397, 3396, 3398, 3399, 3401, 3400, 3370, 3371, 3366, 3367, 3368, 3369, 3423, 3422, 3425, 3424, 3420, 3421, 3379, 3378, 3383, 3382, 3380, 3381, 3404, 3405, 3402, 3403, 3407, 3406, 3438, 3439, 3440, 3441, 3442, 3443, 3299, 3298, 3295, 3294, 3296, 3297, 3324, 3325, 3326, 3327, 3328, 3329, 3411, 3410, 3409, 3408, 3413, 3412, 3427, 3426, 3428, 3429, 3430, 3431, 3332, 3333, 3331, 3330, 3334, 3335, 3376, 3377, 3373, 3372, 3375, 3374, 3289, 3288, 3293, 3292, 3291, 3290, 3445, 3444, 3449, 3448, 3447, 3446, 3363, 3362, 3360, 3361, 3365, 3364, 3395, 3394, 3391, 3390, 3392, 3393, 3419, 3418, 3416, 3417, 3414, 3415, 3302, 3303, 3300, 3301, 3305, 3304, 3310, 3311, 3306, 3307, 3308, 3309, 3355, 3354, 3357, 3356, 3358, 3359, 3451, 3450, 3452, 3453, 3455, 3454, 3384, 3385, 3386, 3387, 3388, 3389, 3432, 3433, 3434, 3435, 3437, 3436, 3353, 3352, 3351, 3350, 3349, 3348, 3344, 3345, 3342, 3343, 3346, 3347, 3276, 3277, 3280, 3281, 3279, 3278, 3273, 3272, 3271, 3270, 3275, 3274, 3286, 3287, 3282, 3283, 3284, 3285, 3340, 3341, 3338, 3339, 3336, 3337, 10963, 10962, 10966, 10967, 10964, 10965, 11061, 11060, 11062, 11063, 11059, 11058, 11034, 11035, 11038, 11039, 11037, 11036, 11028, 11029, 11031, 11030, 11032, 11033, 11084, 11085, 11086, 11087, 11083, 11082, 11120, 11121, 11123, 11122, 11119, 11118, 10944, 10945, 10949, 10948, 10946, 10947, 10990, 10991, 10987, 10986, 10989, 10988, 11057, 11056, 11052, 11053, 11055, 11054, 10982, 10983, 10985, 10984, 10980, 10981, 11088, 11089, 11093, 11092, 11090, 11091, 11009, 11008, 11004, 11005, 11006, 11007, 11050, 11051, 11046, 11047, 11048, 11049, 11066, 11067, 11069, 11068, 11065, 11064, 11106, 11107, 11110, 11111, 11108, 11109, 11128, 11129, 11124, 11125, 11126, 11127, 11116, 11117, 11112, 11113, 11114, 11115, 11081, 11080, 11077, 11076, 11078, 11079, 11097, 11096, 11099, 11098, 11095, 11094, 11044, 11045, 11040, 11041, 11042, 11043, 10997, 10996, 10994, 10995, 10993, 10992, 10974, 10975, 10976, 10977, 10979, 10978, 10957, 10956, 10959, 10958, 10960, 10961, 11001, 11000, 10998, 10999, 11003, 11002, 11025, 11024, 11023, 11022, 11026, 11027, 10971, 10970, 10969, 10968, 10973, 10972, 11130, 11131, 11132, 11133, 11135, 11134, 11103, 11102, 11105, 11104, 11101, 11100, 11021, 11020, 11017, 11016, 11019, 11018, 11011, 11010, 11012, 11013, 11015, 11014, 11075, 11074, 11070, 11071, 11072, 11073, 10950, 10951, 10952, 10953, 10955, 10954, 5383, 5382, 5387, 5386, 5384, 5385, 5424, 5425] +private def clayworthR_fwd_c10 : Array (Fin 12096) := #[5426, 5427, 5429, 5428, 5485, 5484, 5489, 5488, 5487, 5486, 5519, 5518, 5517, 5516, 5515, 5514, 5473, 5472, 5474, 5475, 5476, 5477, 5467, 5466, 5471, 5470, 5469, 5468, 5499, 5498, 5500, 5501, 5497, 5496, 5490, 5491, 5494, 5495, 5492, 5493, 5551, 5550, 5555, 5554, 5553, 5552, 5416, 5417, 5415, 5414, 5413, 5412, 5433, 5432, 5430, 5431, 5434, 5435, 5392, 5393, 5390, 5391, 5388, 5389, 5526, 5527, 5528, 5529, 5530, 5531, 5437, 5436, 5440, 5441, 5439, 5438, 5504, 5505, 5507, 5506, 5503, 5502, 5540, 5541, 5538, 5539, 5543, 5542, 5565, 5564, 5567, 5566, 5562, 5563, 5558, 5559, 5560, 5561, 5557, 5556, 5461, 5460, 5463, 5462, 5464, 5465, 5449, 5448, 5451, 5450, 5452, 5453, 5482, 5483, 5479, 5478, 5480, 5481, 5423, 5422, 5420, 5421, 5418, 5419, 5409, 5408, 5406, 5407, 5411, 5410, 5547, 5546, 5549, 5548, 5545, 5544, 5513, 5512, 5511, 5510, 5509, 5508, 5456, 5457, 5458, 5459, 5454, 5455, 5537, 5536, 5532, 5533, 5535, 5534, 5445, 5444, 5447, 5446, 5443, 5442, 5394, 5395, 5398, 5399, 5396, 5397, 5379, 5378, 5381, 5380, 5376, 5377, 5525, 5524, 5521, 5520, 5522, 5523, 5400, 5401, 5403, 5402, 5404, 5405, 9985, 9984, 9986, 9987, 9989, 9988, 9990, 9991, 9995, 9994, 9992, 9993, 10108, 10109, 10106, 10107, 10104, 10105, 10143, 10142, 10144, 10145, 10141, 10140, 10086, 10087, 10089, 10088, 10091, 10090, 10156, 10157, 10154, 10155, 10152, 10153, 10043, 10042, 10038, 10039, 10041, 10040, 10030, 10031, 10028, 10029, 10027, 10026, 10052, 10053, 10051, 10050, 10054, 10055, 10146, 10147, 10148, 10149, 10150, 10151, 10116, 10117, 10120, 10121, 10118, 10119, 9999, 9998, 9996, 9997, 10000, 10001, 10046, 10047, 10049, 10048, 10044, 10045, 10096, 10097, 10094, 10095, 10092, 10093, 10059, 10058, 10061, 10060, 10057, 10056, 10033, 10032, 10035, 10034, 10037, 10036, 10167, 10166, 10169, 10168, 10165, 10164, 10084, 10085, 10083, 10082, 10081, 10080, 10161, 10160, 10162, 10163, 10158, 10159, 10071, 10070, 10073, 10072, 10068, 10069, 10102, 10103, 10098, 10099, 10100, 10101, 10020, 10021, 10025, 10024, 10022, 10023, 10112, 10113, 10114, 10115, 10111, 10110, 10075, 10074, 10076, 10077, 10079, 10078, 10008, 10009, 10010, 10011, 10012, 10013, 10139, 10138, 10137, 10136, 10135, 10134, 10174, 10175, 10171, 10170, 10173, 10172, 10123, 10122, 10125, 10124, 10126, 10127, 10066, 10067, 10063, 10062, 10064, 10065, 10005, 10004, 10007, 10006, 10003, 10002, 10133, 10132, 10130, 10131, 10129, 10128, 10015, 10014, 10017, 10016, 10018, 10019, 3680, 3681, 3678, 3679, 3683, 3682, 3752, 3753, 3754, 3755, 3750, 3751, 3684, 3685, 3686, 3687, 3689, 3688, 3738, 3739, 3743, 3742, 3740, 3741, 3725, 3724, 3722, 3723, 3721, 3720, 3714, 3715, 3718, 3719, 3717, 3716, 3766, 3767, 3764, 3765, 3762, 3763, 3758, 3759, 3760, 3761, 3757, 3756, 3829, 3828, 3833, 3832, 3830, 3831, 3746, 3747, 3748, 3749, 3744, 3745, 3670, 3671, 3668, 3669, 3666, 3667, 3795, 3794, 3796, 3797, 3792, 3793, 3659, 3658, 3656, 3657, 3654, 3655, 3694, 3695, 3691, 3690, 3692, 3693, 3822, 3823, 3824, 3825, 3827, 3826, 3731, 3730, 3727, 3726, 3728, 3729, 3805, 3804, 3807, 3806, 3809, 3808, 3736, 3737, 3732, 3733, 3734, 3735, 3672, 3673, 3677, 3676, 3675, 3674, 3709, 3708, 3711, 3710, 3713, 3712, 3818, 3819, 3820, 3821] +private def clayworthR_fwd_c11 : Array (Fin 12096) := #[3816, 3817, 3705, 3704, 3706, 3707, 3703, 3702, 3790, 3791, 3786, 3787, 3789, 3788, 3661, 3660, 3663, 3662, 3665, 3664, 3785, 3784, 3782, 3783, 3780, 3781, 3835, 3834, 3836, 3837, 3839, 3838, 3769, 3768, 3773, 3772, 3771, 3770, 3814, 3815, 3811, 3810, 3812, 3813, 3698, 3699, 3701, 3700, 3697, 3696, 3779, 3778, 3776, 3777, 3774, 3775, 3650, 3651, 3649, 3648, 3653, 3652, 3802, 3803, 3798, 3799, 3800, 3801, 5763, 5762, 5764, 5765, 5761, 5760, 5781, 5780, 5783, 5782, 5779, 5778, 5860, 5861, 5856, 5857, 5859, 5858, 5882, 5883, 5880, 5881, 5884, 5885, 5845, 5844, 5849, 5848, 5846, 5847, 5866, 5867, 5863, 5862, 5865, 5864, 5895, 5894, 5892, 5893, 5896, 5897, 5766, 5767, 5770, 5771, 5769, 5768, 5852, 5853, 5855, 5854, 5850, 5851, 5902, 5903, 5899, 5898, 5901, 5900, 5869, 5868, 5873, 5872, 5870, 5871, 5787, 5786, 5788, 5789, 5785, 5784, 5824, 5825, 5821, 5820, 5823, 5822, 5944, 5945, 5942, 5943, 5940, 5941, 5826, 5827, 5830, 5831, 5828, 5829, 5925, 5924, 5923, 5922, 5926, 5927, 5840, 5841, 5838, 5839, 5842, 5843, 5933, 5932, 5930, 5931, 5929, 5928, 5887, 5886, 5891, 5890, 5888, 5889, 5905, 5904, 5906, 5907, 5909, 5908, 5811, 5810, 5809, 5808, 5813, 5812, 5802, 5803, 5805, 5804, 5807, 5806, 5936, 5937, 5938, 5939, 5935, 5934, 5819, 5818, 5817, 5816, 5815, 5814, 5946, 5947, 5948, 5949, 5950, 5951, 5874, 5875, 5879, 5878, 5876, 5877, 5916, 5917, 5920, 5921, 5918, 5919, 5790, 5791, 5794, 5795, 5792, 5793, 5773, 5772, 5775, 5774, 5776, 5777, 5915, 5914, 5911, 5910, 5913, 5912, 5799, 5798, 5800, 5801, 5797, 5796, 5836, 5837, 5835, 5834, 5833, 5832, 7109, 7108, 7105, 7104, 7107, 7106, 7119, 7118, 7117, 7116, 7121, 7120, 7158, 7159, 7160, 7161, 7163, 7162, 7215, 7214, 7216, 7217, 7213, 7212, 7166, 7167, 7169, 7168, 7164, 7165, 7210, 7211, 7208, 7209, 7207, 7206, 7194, 7195, 7199, 7198, 7196, 7197, 7190, 7191, 7188, 7189, 7193, 7192, 7219, 7218, 7221, 7220, 7223, 7222, 7253, 7252, 7250, 7251, 7249, 7248, 7151, 7150, 7149, 7148, 7146, 7147, 7145, 7144, 7143, 7142, 7141, 7140, 7175, 7174, 7171, 7170, 7173, 7172, 7287, 7286, 7284, 7285, 7289, 7288, 7205, 7204, 7203, 7202, 7200, 7201, 7270, 7271, 7268, 7269, 7266, 7267, 7292, 7293, 7295, 7294, 7290, 7291, 7276, 7277, 7272, 7273, 7275, 7274, 7255, 7254, 7256, 7257, 7259, 7258, 7242, 7243, 7244, 7245, 7247, 7246, 7134, 7135, 7138, 7139, 7136, 7137, 7280, 7281, 7283, 7282, 7278, 7279, 7228, 7229, 7225, 7224, 7227, 7226, 7110, 7111, 7112, 7113, 7114, 7115, 7154, 7155, 7157, 7156, 7153, 7152, 7240, 7241, 7237, 7236, 7238, 7239, 7235, 7234, 7233, 7232, 7231, 7230, 7264, 7265, 7260, 7261, 7263, 7262, 7186, 7187, 7183, 7182, 7184, 7185, 7177, 7176, 7178, 7179, 7180, 7181, 7124, 7125, 7122, 7123, 7126, 7127, 7133, 7132, 7128, 7129, 7130, 7131, 2299, 2298, 2301, 2300, 2303, 2302, 2161, 2160, 2163, 2162, 2165, 2164, 2207, 2206, 2203, 2202, 2204, 2205, 2247, 2246, 2248, 2249, 2244, 2245, 2240, 2241, 2242, 2243, 2239, 2238, 2281, 2280, 2283, 2282, 2284, 2285, 2147, 2146, 2145, 2144, 2143, 2142, 2176, 2177, 2174, 2175, 2173, 2172] +private def clayworthR_fwd_c12 : Array (Fin 12096) := #[2121, 2120, 2118, 2119, 2122, 2123, 2171, 2170, 2169, 2168, 2167, 2166, 2263, 2262, 2265, 2264, 2267, 2266, 2181, 2180, 2183, 2182, 2178, 2179, 2292, 2293, 2294, 2295, 2296, 2297, 2289, 2288, 2291, 2290, 2287, 2286, 2271, 2270, 2273, 2272, 2268, 2269, 2197, 2196, 2199, 2198, 2200, 2201, 2229, 2228, 2226, 2227, 2231, 2230, 2251, 2250, 2254, 2255, 2252, 2253, 2236, 2237, 2232, 2233, 2235, 2234, 2150, 2151, 2148, 2149, 2152, 2153, 2136, 2137, 2138, 2139, 2140, 2141, 2274, 2275, 2277, 2276, 2279, 2278, 2159, 2158, 2157, 2156, 2155, 2154, 2125, 2124, 2127, 2126, 2128, 2129, 2222, 2223, 2220, 2221, 2224, 2225, 2209, 2208, 2213, 2212, 2211, 2210, 2190, 2191, 2192, 2193, 2194, 2195, 2219, 2218, 2217, 2216, 2215, 2214, 2115, 2114, 2113, 2112, 2117, 2116, 2260, 2261, 2257, 2256, 2259, 2258, 2132, 2133, 2135, 2134, 2131, 2130, 2189, 2188, 2187, 2186, 2185, 2184, 10371, 10370, 10372, 10373, 10369, 10368, 10377, 10376, 10379, 10378, 10375, 10374, 10417, 10416, 10419, 10418, 10420, 10421, 10441, 10440, 10445, 10444, 10443, 10442, 10523, 10522, 10518, 10519, 10520, 10521, 10549, 10548, 10550, 10551, 10552, 10553, 10467, 10466, 10464, 10465, 10468, 10469, 10409, 10408, 10405, 10404, 10406, 10407, 10509, 10508, 10511, 10510, 10507, 10506, 10383, 10382, 10384, 10385, 10380, 10381, 10544, 10545, 10546, 10547, 10542, 10543, 10450, 10451, 10448, 10449, 10447, 10446, 10463, 10462, 10461, 10460, 10458, 10459, 10472, 10473, 10474, 10475, 10470, 10471, 10556, 10557, 10555, 10554, 10558, 10559, 10439, 10438, 10435, 10434, 10437, 10436, 10498, 10499, 10495, 10494, 10497, 10496, 10524, 10525, 10527, 10526, 10529, 10528, 10504, 10505, 10501, 10500, 10503, 10502, 10513, 10512, 10515, 10514, 10517, 10516, 10456, 10457, 10455, 10454, 10452, 10453, 10481, 10480, 10478, 10479, 10476, 10477, 10412, 10413, 10415, 10414, 10411, 10410, 10430, 10431, 10428, 10429, 10432, 10433, 10395, 10394, 10392, 10393, 10397, 10396, 10492, 10493, 10488, 10489, 10490, 10491, 10537, 10536, 10538, 10539, 10541, 10540, 10389, 10388, 10387, 10386, 10390, 10391, 10487, 10486, 10484, 10485, 10482, 10483, 10534, 10535, 10531, 10530, 10532, 10533, 10399, 10398, 10401, 10400, 10403, 10402, 10427, 10426, 10424, 10425, 10423, 10422, 11522, 11523, 11524, 11525, 11520, 11521, 11580, 11581, 11583, 11582, 11585, 11584, 11706, 11707, 11708, 11709, 11710, 11711, 11644, 11645, 11643, 11642, 11641, 11640, 11679, 11678, 11680, 11681, 11676, 11677, 11624, 11625, 11623, 11622, 11627, 11626, 11695, 11694, 11697, 11696, 11699, 11698, 11529, 11528, 11526, 11527, 11531, 11530, 11649, 11648, 11650, 11651, 11646, 11647, 11566, 11567, 11564, 11565, 11562, 11563, 11596, 11597, 11594, 11595, 11592, 11593, 11659, 11658, 11661, 11660, 11663, 11662, 11545, 11544, 11549, 11548, 11546, 11547, 11591, 11590, 11589, 11588, 11587, 11586, 11633, 11632, 11630, 11631, 11629, 11628, 11654, 11655, 11657, 11656, 11652, 11653, 11568, 11569, 11572, 11573, 11570, 11571, 11690, 11691, 11688, 11689, 11693, 11692, 11619, 11618, 11621, 11620, 11617, 11616, 11672, 11673, 11674, 11675, 11671, 11670, 11682, 11683, 11686, 11687, 11685, 11684, 11639, 11638, 11634, 11635, 11637, 11636, 11543, 11542, 11539, 11538, 11541, 11540, 11579, 11578, 11574, 11575, 11576, 11577, 11700, 11701, 11703, 11702, 11704, 11705, 11664, 11665, 11666, 11667, 11668, 11669, 11611, 11610, 11613, 11612, 11615, 11614, 11605, 11604] +private def clayworthR_fwd_c13 : Array (Fin 12096) := #[11607, 11606, 11608, 11609, 11553, 11552, 11551, 11550, 11555, 11554, 11533, 11532, 11535, 11534, 11537, 11536, 11557, 11556, 11559, 11558, 11561, 11560, 11603, 11602, 11601, 11600, 11599, 11598, 11341, 11340, 11345, 11344, 11343, 11342, 11376, 11377, 11380, 11381, 11378, 11379, 11517, 11516, 11518, 11519, 11514, 11515, 11439, 11438, 11441, 11440, 11436, 11437, 11431, 11430, 11435, 11434, 11433, 11432, 11450, 11451, 11452, 11453, 11448, 11449, 11415, 11414, 11412, 11413, 11416, 11417, 11481, 11480, 11482, 11483, 11479, 11478, 11464, 11465, 11461, 11460, 11463, 11462, 11510, 11511, 11512, 11513, 11509, 11508, 11331, 11330, 11332, 11333, 11329, 11328, 11364, 11365, 11368, 11369, 11367, 11366, 11356, 11357, 11352, 11353, 11355, 11354, 11384, 11385, 11383, 11382, 11387, 11386, 11467, 11466, 11471, 11470, 11469, 11468, 11502, 11503, 11504, 11505, 11506, 11507, 11420, 11421, 11418, 11419, 11423, 11422, 11487, 11486, 11485, 11484, 11489, 11488, 11359, 11358, 11361, 11360, 11363, 11362, 11407, 11406, 11408, 11409, 11410, 11411, 11493, 11492, 11491, 11490, 11494, 11495, 11394, 11395, 11397, 11396, 11399, 11398, 11444, 11445, 11442, 11443, 11446, 11447, 11454, 11455, 11458, 11459, 11456, 11457, 11472, 11473, 11476, 11477, 11475, 11474, 11426, 11427, 11428, 11429, 11424, 11425, 11371, 11370, 11374, 11375, 11373, 11372, 11347, 11346, 11351, 11350, 11349, 11348, 11499, 11498, 11500, 11501, 11497, 11496, 11335, 11334, 11336, 11337, 11339, 11338, 11401, 11400, 11405, 11404, 11403, 11402, 11392, 11393, 11388, 11389, 11391, 11390, 4806, 4807, 4810, 4811, 4809, 4808, 4831, 4830, 4835, 4834, 4832, 4833, 4838, 4839, 4840, 4841, 4837, 4836, 4930, 4931, 4929, 4928, 4926, 4927, 4900, 4901, 4896, 4897, 4899, 4898, 4944, 4945, 4949, 4948, 4946, 4947, 4890, 4891, 4895, 4894, 4892, 4893, 4980, 4981, 4982, 4983, 4984, 4985, 4803, 4802, 4805, 4804, 4800, 4801, 4885, 4884, 4888, 4889, 4887, 4886, 4848, 4849, 4851, 4850, 4852, 4853, 4934, 4935, 4936, 4937, 4932, 4933, 4912, 4913, 4911, 4910, 4908, 4909, 4847, 4846, 4842, 4843, 4845, 4844, 4871, 4870, 4869, 4868, 4866, 4867, 4959, 4958, 4956, 4957, 4961, 4960, 4857, 4856, 4855, 4854, 4859, 4858, 4882, 4883, 4880, 4881, 4878, 4879, 4965, 4964, 4967, 4966, 4963, 4962, 4990, 4991, 4986, 4987, 4989, 4988, 4973, 4972, 4971, 4970, 4969, 4968, 4925, 4924, 4920, 4921, 4922, 4923, 4954, 4955, 4953, 4952, 4950, 4951, 4941, 4940, 4942, 4943, 4938, 4939, 4876, 4877, 4872, 4873, 4874, 4875, 4818, 4819, 4823, 4822, 4821, 4820, 4976, 4977, 4978, 4979, 4975, 4974, 4906, 4907, 4904, 4905, 4902, 4903, 4829, 4828, 4824, 4825, 4827, 4826, 4918, 4919, 4914, 4915, 4916, 4917, 4862, 4863, 4860, 4861, 4865, 4864, 4814, 4815, 4816, 4817, 4813, 4812, 10569, 10568, 10567, 10566, 10570, 10571, 10603, 10602, 10607, 10606, 10604, 10605, 10747, 10746, 10749, 10748, 10750, 10751, 10662, 10663, 10667, 10666, 10665, 10664, 10657, 10656, 10661, 10660, 10658, 10659, 10645, 10644, 10649, 10648, 10646, 10647, 10670, 10671, 10668, 10669, 10672, 10673, 10708, 10709, 10707, 10706, 10704, 10705, 10563, 10562, 10565, 10564, 10561, 10560, 10589, 10588, 10587, 10586, 10585, 10584, 10680, 10681, 10685, 10684, 10682, 10683, 10575, 10574, 10573, 10572, 10577, 10576, 10734, 10735, 10738, 10739, 10736, 10737, 10725, 10724, 10722, 10723, 10726, 10727, 10610, 10611, 10612, 10613] +private def clayworthR_fwd_c14 : Array (Fin 12096) := #[10608, 10609, 10650, 10651, 10655, 10654, 10653, 10652, 10676, 10677, 10678, 10679, 10675, 10674, 10591, 10590, 10595, 10594, 10592, 10593, 10742, 10743, 10745, 10744, 10741, 10740, 10639, 10638, 10643, 10642, 10641, 10640, 10719, 10718, 10720, 10721, 10716, 10717, 10710, 10711, 10715, 10714, 10712, 10713, 10731, 10730, 10733, 10732, 10728, 10729, 10601, 10600, 10596, 10597, 10598, 10599, 10635, 10634, 10632, 10633, 10637, 10636, 10701, 10700, 10699, 10698, 10703, 10702, 10686, 10687, 10688, 10689, 10690, 10691, 10629, 10628, 10626, 10627, 10631, 10630, 10620, 10621, 10623, 10622, 10625, 10624, 10697, 10696, 10695, 10694, 10693, 10692, 10581, 10580, 10583, 10582, 10579, 10578, 10618, 10619, 10617, 10616, 10614, 10615, 4418, 4419, 4420, 4421, 4416, 4417, 4602, 4603, 4604, 4605, 4606, 4607, 4504, 4505, 4503, 4502, 4501, 4500, 4491, 4490, 4493, 4492, 4489, 4488, 4470, 4471, 4472, 4473, 4475, 4474, 4468, 4469, 4465, 4464, 4467, 4466, 4511, 4510, 4509, 4508, 4506, 4507, 4557, 4556, 4555, 4554, 4559, 4558, 4546, 4547, 4543, 4542, 4545, 4544, 4585, 4584, 4588, 4589, 4587, 4586, 4424, 4425, 4427, 4426, 4422, 4423, 4494, 4495, 4497, 4496, 4499, 4498, 4548, 4549, 4550, 4551, 4552, 4553, 4518, 4519, 4522, 4523, 4520, 4521, 4477, 4476, 4481, 4480, 4478, 4479, 4568, 4569, 4571, 4570, 4567, 4566, 4446, 4447, 4451, 4450, 4449, 4448, 4440, 4441, 4443, 4442, 4445, 4444, 4601, 4600, 4597, 4596, 4599, 4598, 4595, 4594, 4590, 4591, 4593, 4592, 4533, 4532, 4530, 4531, 4535, 4534, 4537, 4536, 4540, 4541, 4538, 4539, 4482, 4483, 4485, 4484, 4487, 4486, 4578, 4579, 4580, 4581, 4582, 4583, 4514, 4515, 4516, 4517, 4512, 4513, 4434, 4435, 4436, 4437, 4439, 4438, 4525, 4524, 4526, 4527, 4528, 4529, 4576, 4577, 4573, 4572, 4574, 4575, 4461, 4460, 4459, 4458, 4463, 4462, 4456, 4457, 4453, 4452, 4455, 4454, 4430, 4431, 4432, 4433, 4428, 4429, 4565, 4564, 4561, 4560, 4562, 4563, 8288, 8289, 8286, 8287, 8290, 8291, 8295, 8294, 8296, 8297, 8292, 8293, 8347, 8346, 8350, 8351, 8348, 8349, 8373, 8372, 8374, 8375, 8370, 8371, 8336, 8337, 8335, 8334, 8339, 8338, 8396, 8397, 8394, 8395, 8398, 8399, 8355, 8354, 8356, 8357, 8353, 8352, 8387, 8386, 8382, 8383, 8384, 8385, 8391, 8390, 8389, 8388, 8392, 8393, 8360, 8361, 8363, 8362, 8359, 8358, 8267, 8266, 8264, 8265, 8262, 8263, 8300, 8301, 8299, 8298, 8303, 8302, 8425, 8424, 8427, 8426, 8428, 8429, 8306, 8307, 8304, 8305, 8309, 8308, 8275, 8274, 8277, 8276, 8278, 8279, 8414, 8415, 8417, 8416, 8413, 8412, 8439, 8438, 8440, 8441, 8436, 8437, 8432, 8433, 8434, 8435, 8430, 8431, 8328, 8329, 8330, 8331, 8333, 8332, 8318, 8319, 8321, 8320, 8317, 8316, 8401, 8400, 8405, 8404, 8403, 8402, 8380, 8381, 8377, 8376, 8379, 8378, 8344, 8345, 8341, 8340, 8343, 8342, 8419, 8418, 8420, 8421, 8423, 8422, 8261, 8260, 8256, 8257, 8259, 8258, 8283, 8282, 8280, 8281, 8285, 8284, 8324, 8325, 8322, 8323, 8327, 8326, 8268, 8269, 8272, 8273, 8270, 8271, 8442, 8443, 8444, 8445, 8446, 8447, 8407, 8406, 8408, 8409, 8410, 8411, 8313, 8312, 8310, 8311, 8314, 8315, 8369, 8368, 8367, 8366, 8365, 8364, 9607, 9606, 9610, 9611, 9609, 9608, 9786, 9787, 9788, 9789, 9790, 9791] +private def clayworthR_fwd_c15 : Array (Fin 12096) := #[9653, 9652, 9651, 9650, 9648, 9649, 9679, 9678, 9683, 9682, 9681, 9680, 9723, 9722, 9724, 9725, 9721, 9720, 9672, 9673, 9676, 9677, 9674, 9675, 9739, 9738, 9743, 9742, 9741, 9740, 9731, 9730, 9728, 9729, 9727, 9726, 9769, 9768, 9770, 9771, 9773, 9772, 9687, 9686, 9684, 9685, 9689, 9688, 9704, 9705, 9707, 9706, 9703, 9702, 9612, 9613, 9616, 9617, 9614, 9615, 9763, 9762, 9767, 9766, 9765, 9764, 9693, 9692, 9695, 9694, 9690, 9691, 9636, 9637, 9639, 9638, 9640, 9641, 9753, 9752, 9755, 9754, 9750, 9751, 9777, 9776, 9778, 9779, 9774, 9775, 9666, 9667, 9669, 9668, 9670, 9671, 9760, 9761, 9756, 9757, 9759, 9758, 9717, 9716, 9719, 9718, 9715, 9714, 9732, 9733, 9734, 9735, 9736, 9737, 9644, 9645, 9647, 9646, 9643, 9642, 9631, 9630, 9633, 9632, 9634, 9635, 9697, 9696, 9701, 9700, 9698, 9699, 9602, 9603, 9600, 9601, 9604, 9605, 9619, 9618, 9621, 9620, 9623, 9622, 9712, 9713, 9710, 9711, 9709, 9708, 9783, 9782, 9785, 9784, 9781, 9780, 9662, 9663, 9660, 9661, 9665, 9664, 9658, 9659, 9654, 9655, 9657, 9656, 9746, 9747, 9748, 9749, 9744, 9745, 9626, 9627, 9629, 9628, 9624, 9625, 8645, 8644, 8643, 8642, 8641, 8640, 8648, 8649, 8651, 8650, 8647, 8646, 8690, 8691, 8693, 8692, 8688, 8689, 8734, 8735, 8733, 8732, 8731, 8730, 8716, 8717, 8712, 8713, 8714, 8715, 8753, 8752, 8751, 8750, 8748, 8749, 8747, 8746, 8745, 8744, 8743, 8742, 8798, 8799, 8800, 8801, 8796, 8797, 8738, 8739, 8740, 8741, 8736, 8737, 8782, 8783, 8779, 8778, 8780, 8781, 8681, 8680, 8678, 8679, 8677, 8676, 8667, 8666, 8665, 8664, 8669, 8668, 8788, 8789, 8785, 8784, 8786, 8787, 8655, 8654, 8657, 8656, 8652, 8653, 8729, 8728, 8726, 8727, 8725, 8724, 8756, 8757, 8758, 8759, 8755, 8754, 8670, 8671, 8672, 8673, 8675, 8674, 8810, 8811, 8813, 8812, 8809, 8808, 8822, 8823, 8824, 8825, 8820, 8821, 8708, 8709, 8711, 8710, 8706, 8707, 8777, 8776, 8774, 8775, 8773, 8772, 8792, 8793, 8791, 8790, 8795, 8794, 8723, 8722, 8718, 8719, 8720, 8721, 8662, 8663, 8661, 8660, 8659, 8658, 8817, 8816, 8818, 8819, 8815, 8814, 8762, 8763, 8764, 8765, 8761, 8760, 8686, 8687, 8685, 8684, 8683, 8682, 8829, 8828, 8827, 8826, 8831, 8830, 8770, 8771, 8768, 8769, 8766, 8767, 8704, 8705, 8700, 8701, 8703, 8702, 8806, 8807, 8803, 8802, 8804, 8805, 8698, 8699, 8697, 8696, 8695, 8694, 9237, 9236, 9234, 9235, 9239, 9238, 9403, 9402, 9405, 9404, 9407, 9406, 9302, 9303, 9305, 9304, 9301, 9300, 9242, 9243, 9244, 9245, 9241, 9240, 9289, 9288, 9292, 9293, 9290, 9291, 9338, 9339, 9337, 9336, 9340, 9341, 9317, 9316, 9315, 9314, 9313, 9312, 9307, 9306, 9311, 9310, 9309, 9308, 9358, 9359, 9355, 9354, 9357, 9356, 9352, 9353, 9349, 9348, 9350, 9351, 9384, 9385, 9388, 9389, 9387, 9386, 9294, 9295, 9298, 9299, 9296, 9297, 9224, 9225, 9222, 9223, 9227, 9226, 9251, 9250, 9246, 9247, 9248, 9249, 9285, 9284, 9283, 9282, 9286, 9287, 9375, 9374, 9377, 9376, 9373, 9372, 9394, 9395, 9390, 9391, 9393, 9392, 9271, 9270, 9272, 9273, 9274, 9275, 9382, 9383, 9381, 9380, 9378, 9379, 9360, 9361, 9362, 9363, 9364, 9365, 9343, 9342, 9344, 9345, 9347, 9346, 9280, 9281] +private def clayworthR_fwd_c16 : Array (Fin 12096) := #[9277, 9276, 9279, 9278, 9230, 9231, 9229, 9228, 9233, 9232, 9323, 9322, 9320, 9321, 9319, 9318, 9266, 9267, 9265, 9264, 9268, 9269, 9334, 9335, 9332, 9333, 9331, 9330, 9397, 9396, 9400, 9401, 9399, 9398, 9325, 9324, 9326, 9327, 9328, 9329, 9366, 9367, 9368, 9369, 9371, 9370, 9263, 9262, 9261, 9260, 9259, 9258, 9216, 9217, 9220, 9221, 9218, 9219, 9257, 9256, 9252, 9253, 9255, 9254, 5572, 5573, 5571, 5570, 5568, 5569, 5581, 5580, 5584, 5585, 5583, 5582, 5754, 5755, 5757, 5756, 5759, 5758, 5612, 5613, 5615, 5614, 5610, 5611, 5698, 5699, 5697, 5696, 5694, 5695, 5674, 5675, 5672, 5673, 5671, 5670, 5668, 5669, 5666, 5667, 5664, 5665, 5577, 5576, 5579, 5578, 5574, 5575, 5658, 5659, 5660, 5661, 5662, 5663, 5601, 5600, 5602, 5603, 5599, 5598, 5619, 5618, 5617, 5616, 5620, 5621, 5732, 5733, 5734, 5735, 5730, 5731, 5654, 5655, 5653, 5652, 5656, 5657, 5714, 5715, 5712, 5713, 5716, 5717, 5727, 5726, 5728, 5729, 5724, 5725, 5743, 5742, 5745, 5744, 5746, 5747, 5740, 5741, 5736, 5737, 5738, 5739, 5650, 5651, 5648, 5649, 5646, 5647, 5637, 5636, 5638, 5639, 5635, 5634, 5693, 5692, 5688, 5689, 5691, 5690, 5702, 5703, 5700, 5701, 5705, 5704, 5707, 5706, 5710, 5711, 5709, 5708, 5595, 5594, 5593, 5592, 5597, 5596, 5606, 5607, 5604, 5605, 5609, 5608, 5640, 5641, 5643, 5642, 5645, 5644, 5589, 5588, 5586, 5587, 5590, 5591, 5751, 5750, 5749, 5748, 5753, 5752, 5677, 5676, 5680, 5681, 5679, 5678, 5720, 5721, 5722, 5723, 5718, 5719, 5632, 5633, 5631, 5630, 5628, 5629, 5622, 5623, 5624, 5625, 5626, 5627, 5687, 5686, 5684, 5685, 5683, 5682, 2686, 2687, 2685, 2684, 2683, 2682, 2562, 2563, 2564, 2565, 2566, 2567, 2616, 2617, 2619, 2618, 2621, 2620, 2599, 2598, 2603, 2602, 2600, 2601, 2625, 2624, 2622, 2623, 2626, 2627, 2671, 2670, 2673, 2672, 2674, 2675, 2497, 2496, 2501, 2500, 2498, 2499, 2556, 2557, 2560, 2561, 2558, 2559, 2546, 2547, 2548, 2549, 2545, 2544, 2629, 2628, 2632, 2633, 2631, 2630, 2519, 2518, 2517, 2516, 2514, 2515, 2568, 2569, 2572, 2573, 2571, 2570, 2665, 2664, 2666, 2667, 2669, 2668, 2586, 2587, 2590, 2591, 2589, 2588, 2595, 2594, 2593, 2592, 2597, 2596, 2550, 2551, 2552, 2553, 2554, 2555, 2679, 2678, 2681, 2680, 2676, 2677, 2640, 2641, 2643, 2642, 2645, 2644, 2635, 2634, 2636, 2637, 2639, 2638, 2539, 2538, 2543, 2542, 2541, 2540, 2659, 2658, 2661, 2660, 2663, 2662, 2604, 2605, 2607, 2606, 2609, 2608, 2508, 2509, 2513, 2512, 2511, 2510, 2583, 2582, 2585, 2584, 2581, 2580, 2526, 2527, 2529, 2528, 2531, 2530, 2610, 2611, 2612, 2613, 2614, 2615, 2652, 2653, 2657, 2656, 2654, 2655, 2577, 2576, 2579, 2578, 2574, 2575, 2521, 2520, 2525, 2524, 2522, 2523, 2503, 2502, 2505, 2504, 2507, 2506, 2648, 2649, 2650, 2651, 2646, 2647, 2535, 2534, 2536, 2537, 2532, 2533, 1734, 1735, 1738, 1739, 1737, 1736, 1919, 1918, 1916, 1917, 1915, 1914, 1840, 1841, 1837, 1836, 1839, 1838, 1776, 1777, 1778, 1779, 1781, 1780, 1825, 1824, 1829, 1828, 1826, 1827, 1869, 1868, 1870, 1871, 1866, 1867, 1800, 1801, 1805, 1804, 1803, 1802, 1843, 1842, 1845, 1844, 1847, 1846, 1761, 1760, 1763, 1762] +private def clayworthR_fwd_c17 : Array (Fin 12096) := #[1758, 1759, 1834, 1835, 1830, 1831, 1832, 1833, 1783, 1782, 1785, 1784, 1787, 1786, 1896, 1897, 1898, 1899, 1901, 1900, 1809, 1808, 1807, 1806, 1810, 1811, 1890, 1891, 1892, 1893, 1895, 1894, 1793, 1792, 1789, 1788, 1791, 1790, 1821, 1820, 1819, 1818, 1822, 1823, 1850, 1851, 1852, 1853, 1848, 1849, 1752, 1753, 1754, 1755, 1756, 1757, 1907, 1906, 1903, 1902, 1905, 1904, 1794, 1795, 1797, 1796, 1799, 1798, 1878, 1879, 1883, 1882, 1881, 1880, 1873, 1872, 1875, 1874, 1876, 1877, 1817, 1816, 1813, 1812, 1815, 1814, 1767, 1766, 1769, 1768, 1765, 1764, 1857, 1856, 1858, 1859, 1854, 1855, 1775, 1774, 1773, 1772, 1771, 1770, 1740, 1741, 1743, 1742, 1745, 1744, 1908, 1909, 1910, 1911, 1912, 1913, 1865, 1864, 1862, 1863, 1861, 1860, 1730, 1731, 1728, 1729, 1732, 1733, 1888, 1889, 1884, 1885, 1886, 1887, 1748, 1749, 1750, 1751, 1746, 1747, 10754, 10755, 10757, 10756, 10753, 10752, 10862, 10863, 10865, 10864, 10861, 10860, 10807, 10806, 10811, 10810, 10809, 10808, 10844, 10845, 10842, 10843, 10847, 10846, 10875, 10874, 10873, 10872, 10877, 10876, 10871, 10870, 10869, 10868, 10866, 10867, 10923, 10922, 10920, 10921, 10925, 10924, 10916, 10917, 10919, 10918, 10915, 10914, 10759, 10758, 10763, 10762, 10761, 10760, 10815, 10814, 10813, 10812, 10816, 10817, 10894, 10895, 10893, 10892, 10891, 10890, 10781, 10780, 10778, 10779, 10776, 10777, 10853, 10852, 10849, 10848, 10851, 10850, 10858, 10859, 10856, 10857, 10855, 10854, 10880, 10881, 10883, 10882, 10878, 10879, 10788, 10789, 10791, 10790, 10793, 10792, 10940, 10941, 10943, 10942, 10939, 10938, 10839, 10838, 10836, 10837, 10840, 10841, 10934, 10935, 10937, 10936, 10933, 10932, 10824, 10825, 10826, 10827, 10828, 10829, 10906, 10907, 10905, 10904, 10903, 10902, 10909, 10908, 10913, 10912, 10910, 10911, 10799, 10798, 10797, 10796, 10795, 10794, 10885, 10884, 10887, 10886, 10889, 10888, 10771, 10770, 10772, 10773, 10775, 10774, 10805, 10804, 10801, 10800, 10802, 10803, 10832, 10833, 10835, 10834, 10830, 10831, 10901, 10900, 10896, 10897, 10899, 10898, 10929, 10928, 10927, 10926, 10931, 10930, 10821, 10820, 10819, 10818, 10822, 10823, 10765, 10764, 10766, 10767, 10769, 10768, 10784, 10785, 10787, 10786, 10782, 10783, 7396, 7397, 7394, 7395, 7392, 7393, 7380, 7381, 7384, 7385, 7382, 7383, 7405, 7404, 7408, 7409, 7406, 7407, 7453, 7452, 7457, 7456, 7455, 7454, 7401, 7400, 7403, 7402, 7399, 7398, 7483, 7482, 7487, 7486, 7485, 7484, 7331, 7330, 7329, 7328, 7326, 7327, 7389, 7388, 7387, 7386, 7390, 7391, 7441, 7440, 7443, 7442, 7445, 7444, 7416, 7417, 7421, 7420, 7419, 7418, 7306, 7307, 7304, 7305, 7302, 7303, 7379, 7378, 7375, 7374, 7377, 7376, 7464, 7465, 7466, 7467, 7469, 7468, 7413, 7412, 7414, 7415, 7411, 7410, 7471, 7470, 7472, 7473, 7474, 7475, 7368, 7369, 7370, 7371, 7372, 7373, 7356, 7357, 7358, 7359, 7360, 7361, 7459, 7458, 7461, 7460, 7462, 7463, 7434, 7435, 7437, 7436, 7438, 7439, 7448, 7449, 7451, 7450, 7447, 7446, 7336, 7337, 7335, 7334, 7333, 7332, 7324, 7325, 7322, 7323, 7321, 7320, 7477, 7476, 7479, 7478, 7481, 7480, 7341, 7340, 7343, 7342, 7339, 7338, 7364, 7365, 7367, 7366, 7363, 7362, 7314, 7315, 7317, 7316, 7319, 7318, 7432, 7433, 7428, 7429, 7430, 7431, 7423, 7422, 7425, 7424, 7427, 7426] +private def clayworthR_fwd_c18 : Array (Fin 12096) := #[7355, 7354, 7351, 7350, 7352, 7353, 7347, 7346, 7345, 7344, 7348, 7349, 7309, 7308, 7310, 7311, 7313, 7312, 7299, 7298, 7301, 7300, 7297, 7296, 580, 581, 577, 576, 579, 578, 597, 596, 594, 595, 599, 598, 765, 764, 767, 766, 762, 763, 652, 653, 651, 650, 649, 648, 630, 631, 634, 635, 633, 632, 647, 646, 644, 645, 642, 643, 696, 697, 700, 701, 698, 699, 664, 665, 661, 660, 662, 663, 709, 708, 712, 713, 710, 711, 657, 656, 658, 659, 655, 654, 740, 741, 743, 742, 738, 739, 582, 583, 586, 587, 584, 585, 619, 618, 622, 623, 620, 621, 616, 617, 613, 612, 615, 614, 641, 640, 636, 637, 639, 638, 706, 707, 702, 703, 704, 705, 675, 674, 676, 677, 672, 673, 604, 605, 603, 602, 600, 601, 735, 734, 733, 732, 736, 737, 668, 669, 670, 671, 666, 667, 753, 752, 755, 754, 751, 750, 746, 747, 749, 748, 745, 744, 693, 692, 695, 694, 690, 691, 714, 715, 718, 719, 716, 717, 628, 629, 627, 626, 625, 624, 728, 729, 731, 730, 727, 726, 689, 688, 686, 687, 685, 684, 759, 758, 760, 761, 757, 756, 723, 722, 720, 721, 725, 724, 610, 611, 608, 609, 606, 607, 680, 681, 679, 678, 682, 683, 588, 589, 591, 590, 592, 593, 2779, 2778, 2783, 2782, 2781, 2780, 2793, 2792, 2791, 2790, 2794, 2795, 2785, 2784, 2786, 2787, 2789, 2788, 2868, 2869, 2871, 2870, 2872, 2873, 2688, 2689, 2693, 2692, 2691, 2690, 2728, 2729, 2726, 2727, 2724, 2725, 2737, 2736, 2739, 2738, 2741, 2740, 2808, 2809, 2813, 2812, 2810, 2811, 2734, 2735, 2732, 2733, 2730, 2731, 2862, 2863, 2865, 2864, 2867, 2866, 2777, 2776, 2775, 2774, 2773, 2772, 2798, 2799, 2801, 2800, 2797, 2796, 2719, 2718, 2721, 2720, 2723, 2722, 2844, 2845, 2849, 2848, 2847, 2846, 2875, 2874, 2876, 2877, 2878, 2879, 2760, 2761, 2765, 2764, 2763, 2762, 2854, 2855, 2853, 2852, 2850, 2851, 2831, 2830, 2826, 2827, 2829, 2828, 2835, 2834, 2832, 2833, 2837, 2836, 2770, 2771, 2768, 2769, 2767, 2766, 2713, 2712, 2717, 2716, 2715, 2714, 2857, 2856, 2859, 2858, 2860, 2861, 2805, 2804, 2807, 2806, 2803, 2802, 2754, 2755, 2757, 2756, 2759, 2758, 2700, 2701, 2704, 2705, 2702, 2703, 2815, 2814, 2816, 2817, 2819, 2818, 2841, 2840, 2842, 2843, 2838, 2839, 2753, 2752, 2751, 2750, 2749, 2748, 2825, 2824, 2822, 2823, 2821, 2820, 2694, 2695, 2697, 2696, 2698, 2699, 2709, 2708, 2711, 2710, 2706, 2707, 2747, 2746, 2745, 2744, 2743, 2742, 4611, 4610, 4612, 4613, 4609, 4608, 4658, 4659, 4657, 4656, 4661, 4660, 4796, 4797, 4798, 4799, 4795, 4794, 4705, 4704, 4708, 4709, 4706, 4707, 4702, 4703, 4698, 4699, 4700, 4701, 4681, 4680, 4683, 4682, 4685, 4684, 4714, 4715, 4713, 4712, 4711, 4710, 4743, 4742, 4744, 4745, 4741, 4740, 4642, 4643, 4638, 4639, 4640, 4641, 4625, 4624, 4623, 4622, 4621, 4620, 4665, 4664, 4666, 4667, 4663, 4662, 4779, 4778, 4780, 4781, 4777, 4776, 4686, 4687, 4690, 4691, 4688, 4689, 4747, 4746, 4748, 4749, 4751, 4750, 4758, 4759, 4762, 4763, 4760, 4761, 4785, 4784] +private def clayworthR_fwd_c19 : Array (Fin 12096) := #[4787, 4786, 4783, 4782, 4768, 4769, 4767, 4766, 4765, 4764, 4733, 4732, 4728, 4729, 4730, 4731, 4735, 4734, 4738, 4739, 4736, 4737, 4697, 4696, 4695, 4694, 4692, 4693, 4649, 4648, 4647, 4646, 4645, 4644, 4770, 4771, 4773, 4772, 4774, 4775, 4721, 4720, 4719, 4718, 4716, 4717, 4653, 4652, 4651, 4650, 4654, 4655, 4627, 4626, 4631, 4630, 4628, 4629, 4788, 4789, 4791, 4790, 4793, 4792, 4753, 4752, 4755, 4754, 4757, 4756, 4676, 4677, 4674, 4675, 4678, 4679, 4727, 4726, 4722, 4723, 4725, 4724, 4617, 4616, 4618, 4619, 4615, 4614, 4633, 4632, 4635, 4634, 4636, 4637, 4672, 4673, 4669, 4668, 4671, 4670, 1530, 1531, 1533, 1532, 1534, 1535, 1439, 1438, 1436, 1437, 1434, 1435, 1391, 1390, 1389, 1388, 1386, 1387, 1487, 1486, 1483, 1482, 1485, 1484, 1423, 1422, 1427, 1426, 1425, 1424, 1419, 1418, 1417, 1416, 1421, 1420, 1446, 1447, 1450, 1451, 1449, 1448, 1442, 1443, 1440, 1441, 1444, 1445, 1347, 1346, 1349, 1348, 1345, 1344, 1488, 1489, 1490, 1491, 1492, 1493, 1463, 1462, 1459, 1458, 1461, 1460, 1525, 1524, 1527, 1526, 1529, 1528, 1508, 1509, 1510, 1511, 1506, 1507, 1369, 1368, 1371, 1370, 1372, 1373, 1521, 1520, 1522, 1523, 1519, 1518, 1404, 1405, 1407, 1406, 1408, 1409, 1480, 1481, 1476, 1477, 1478, 1479, 1495, 1494, 1497, 1496, 1499, 1498, 1433, 1432, 1430, 1431, 1428, 1429, 1377, 1376, 1375, 1374, 1378, 1379, 1362, 1363, 1367, 1366, 1365, 1364, 1454, 1455, 1457, 1456, 1453, 1452, 1382, 1383, 1384, 1385, 1380, 1381, 1413, 1412, 1410, 1411, 1415, 1414, 1472, 1473, 1470, 1471, 1475, 1474, 1514, 1515, 1517, 1516, 1512, 1513, 1401, 1400, 1398, 1399, 1403, 1402, 1351, 1350, 1352, 1353, 1355, 1354, 1469, 1468, 1464, 1465, 1467, 1466, 1504, 1505, 1500, 1501, 1502, 1503, 1358, 1359, 1360, 1361, 1356, 1357, 1396, 1397, 1393, 1392, 1394, 1395, 8066, 8067, 8068, 8069, 8065, 8064, 8158, 8159, 8157, 8156, 8154, 8155, 8109, 8108, 8110, 8111, 8107, 8106, 8201, 8200, 8196, 8197, 8198, 8199, 8142, 8143, 8146, 8147, 8145, 8144, 8138, 8139, 8137, 8136, 8140, 8141, 8170, 8171, 8168, 8169, 8166, 8167, 8212, 8213, 8208, 8209, 8210, 8211, 8164, 8165, 8163, 8162, 8161, 8160, 8251, 8250, 8255, 8254, 8253, 8252, 8073, 8072, 8074, 8075, 8070, 8071, 8150, 8151, 8148, 8149, 8152, 8153, 8098, 8099, 8096, 8097, 8094, 8095, 8117, 8116, 8112, 8113, 8115, 8114, 8087, 8086, 8085, 8084, 8082, 8083, 8223, 8222, 8221, 8220, 8225, 8224, 8121, 8120, 8122, 8123, 8118, 8119, 8175, 8174, 8176, 8177, 8172, 8173, 8100, 8101, 8102, 8103, 8104, 8105, 8234, 8235, 8236, 8237, 8232, 8233, 8134, 8135, 8130, 8131, 8132, 8133, 8241, 8240, 8243, 8242, 8239, 8238, 8218, 8219, 8216, 8217, 8215, 8214, 8204, 8205, 8206, 8207, 8203, 8202, 8245, 8244, 8247, 8246, 8248, 8249, 8178, 8179, 8182, 8183, 8180, 8181, 8076, 8077, 8079, 8078, 8081, 8080, 8089, 8088, 8092, 8093, 8090, 8091, 8184, 8185, 8189, 8188, 8186, 8187, 8228, 8229, 8227, 8226, 8231, 8230, 8195, 8194, 8192, 8193, 8191, 8190, 8129, 8128, 8126, 8127, 8124, 8125, 11714, 11715, 11716, 11717, 11712, 11713, 11830, 11831, 11827, 11826, 11828, 11829, 11762, 11763, 11765, 11764] +private def clayworthR_fwd_c20 : Array (Fin 12096) := #[11760, 11761, 11818, 11819, 11817, 11816, 11815, 11814, 11857, 11856, 11860, 11861, 11858, 11859, 11800, 11801, 11796, 11797, 11798, 11799, 11791, 11790, 11792, 11793, 11795, 11794, 11843, 11842, 11840, 11841, 11839, 11838, 11837, 11836, 11834, 11835, 11833, 11832, 11878, 11879, 11877, 11876, 11875, 11874, 11759, 11758, 11754, 11755, 11757, 11756, 11822, 11823, 11824, 11825, 11821, 11820, 11750, 11751, 11749, 11748, 11752, 11753, 11846, 11847, 11849, 11848, 11845, 11844, 11730, 11731, 11735, 11734, 11732, 11733, 11769, 11768, 11770, 11771, 11767, 11766, 11896, 11897, 11895, 11894, 11892, 11893, 11886, 11887, 11889, 11888, 11891, 11890, 11777, 11776, 11773, 11772, 11774, 11775, 11812, 11813, 11808, 11809, 11810, 11811, 11900, 11901, 11902, 11903, 11899, 11898, 11854, 11855, 11852, 11853, 11850, 11851, 11881, 11880, 11885, 11884, 11883, 11882, 11863, 11862, 11865, 11864, 11867, 11866, 11868, 11869, 11873, 11872, 11871, 11870, 11807, 11806, 11805, 11804, 11803, 11802, 11742, 11743, 11746, 11747, 11744, 11745, 11728, 11729, 11725, 11724, 11727, 11726, 11785, 11784, 11789, 11788, 11786, 11787, 11782, 11783, 11778, 11779, 11781, 11780, 11720, 11721, 11718, 11719, 11722, 11723, 11736, 11737, 11738, 11739, 11740, 11741, 7682, 7683, 7684, 7685, 7680, 7681, 7869, 7868, 7871, 7870, 7867, 7866, 7781, 7780, 7779, 7778, 7777, 7776, 7818, 7819, 7821, 7820, 7822, 7823, 7790, 7791, 7792, 7793, 7788, 7789, 7834, 7835, 7830, 7831, 7833, 7832, 7688, 7689, 7691, 7690, 7687, 7686, 7724, 7725, 7726, 7727, 7723, 7722, 7785, 7784, 7787, 7786, 7782, 7783, 7715, 7714, 7712, 7713, 7711, 7710, 7697, 7696, 7695, 7694, 7693, 7692, 7744, 7745, 7740, 7741, 7742, 7743, 7844, 7845, 7843, 7842, 7847, 7846, 7749, 7748, 7751, 7750, 7747, 7746, 7772, 7773, 7770, 7771, 7775, 7774, 7797, 7796, 7799, 7798, 7795, 7794, 7717, 7716, 7719, 7718, 7721, 7720, 7860, 7861, 7862, 7863, 7864, 7865, 7856, 7857, 7858, 7859, 7854, 7855, 7758, 7759, 7760, 7761, 7763, 7762, 7826, 7827, 7824, 7825, 7828, 7829, 7840, 7841, 7839, 7838, 7836, 7837, 7765, 7764, 7766, 7767, 7769, 7768, 7730, 7731, 7732, 7733, 7728, 7729, 7705, 7704, 7708, 7709, 7707, 7706, 7803, 7802, 7805, 7804, 7801, 7800, 7736, 7737, 7739, 7738, 7735, 7734, 7814, 7815, 7813, 7812, 7816, 7817, 7848, 7849, 7852, 7853, 7851, 7850, 7752, 7753, 7755, 7754, 7757, 7756, 7698, 7699, 7703, 7702, 7701, 7700, 7810, 7811, 7808, 7809, 7807, 7806, 10180, 10181, 10176, 10177, 10178, 10179, 10283, 10282, 10280, 10281, 10279, 10278, 10214, 10215, 10217, 10216, 10213, 10212, 10275, 10274, 10277, 10276, 10272, 10273, 10323, 10322, 10320, 10321, 10324, 10325, 10253, 10252, 10251, 10250, 10249, 10248, 10286, 10287, 10288, 10289, 10284, 10285, 10331, 10330, 10327, 10326, 10329, 10328, 10362, 10363, 10367, 10366, 10365, 10364, 10227, 10226, 10225, 10224, 10228, 10229, 10218, 10219, 10223, 10222, 10220, 10221, 10359, 10358, 10361, 10360, 10357, 10356, 10259, 10258, 10255, 10254, 10256, 10257, 10230, 10231, 10235, 10234, 10232, 10233, 10270, 10271, 10266, 10267, 10268, 10269, 10293, 10292, 10294, 10295, 10290, 10291, 10347, 10346, 10348, 10349, 10345, 10344, 10237, 10236, 10238, 10239, 10240, 10241, 10318, 10319, 10314, 10315, 10317, 10316, 10332, 10333, 10334, 10335, 10337, 10336, 10264, 10265, 10260, 10261, 10262, 10263, 10202, 10203, 10204, 10205, 10201, 10200] +private def clayworthR_fwd_c21 : Array (Fin 12096) := #[10351, 10350, 10353, 10352, 10355, 10354, 10183, 10182, 10186, 10187, 10185, 10184, 10208, 10209, 10211, 10210, 10206, 10207, 10243, 10242, 10245, 10244, 10247, 10246, 10194, 10195, 10198, 10199, 10197, 10196, 10313, 10312, 10309, 10308, 10310, 10311, 10296, 10297, 10299, 10298, 10300, 10301, 10189, 10188, 10193, 10192, 10190, 10191, 10306, 10307, 10303, 10302, 10304, 10305, 10341, 10340, 10342, 10343, 10338, 10339, 4231, 4230, 4234, 4235, 4233, 4232, 4318, 4319, 4316, 4317, 4314, 4315, 4269, 4268, 4271, 4270, 4267, 4266, 4303, 4302, 4307, 4306, 4304, 4305, 4330, 4331, 4329, 4328, 4327, 4326, 4320, 4321, 4324, 4325, 4323, 4322, 4358, 4359, 4360, 4361, 4357, 4356, 4402, 4403, 4400, 4401, 4398, 4399, 4251, 4250, 4253, 4252, 4249, 4248, 4282, 4283, 4280, 4281, 4278, 4279, 4362, 4363, 4365, 4364, 4366, 4367, 4348, 4349, 4344, 4345, 4346, 4347, 4277, 4276, 4275, 4274, 4273, 4272, 4393, 4392, 4397, 4396, 4395, 4394, 4380, 4381, 4382, 4383, 4385, 4384, 4335, 4334, 4336, 4337, 4332, 4333, 4254, 4255, 4256, 4257, 4258, 4259, 4405, 4404, 4409, 4408, 4407, 4406, 4390, 4391, 4389, 4388, 4387, 4386, 4299, 4298, 4301, 4300, 4297, 4296, 4375, 4374, 4376, 4377, 4378, 4379, 4351, 4350, 4352, 4353, 4354, 4355, 4369, 4368, 4373, 4372, 4371, 4370, 4313, 4312, 4308, 4309, 4310, 4311, 4340, 4341, 4343, 4342, 4339, 4338, 4265, 4264, 4261, 4260, 4263, 4262, 4243, 4242, 4244, 4245, 4247, 4246, 4413, 4412, 4410, 4411, 4414, 4415, 4291, 4290, 4292, 4293, 4295, 4294, 4236, 4237, 4238, 4239, 4240, 4241, 4226, 4227, 4224, 4225, 4229, 4228, 4288, 4289, 4286, 4287, 4284, 4285, 4036, 4037, 4034, 4035, 4032, 4033, 4053, 4052, 4051, 4050, 4055, 4054, 4068, 4069, 4073, 4072, 4071, 4070, 4219, 4218, 4221, 4220, 4222, 4223, 4074, 4075, 4077, 4076, 4078, 4079, 4116, 4117, 4120, 4121, 4118, 4119, 4151, 4150, 4149, 4148, 4147, 4146, 4142, 4143, 4145, 4144, 4141, 4140, 4178, 4179, 4181, 4180, 4176, 4177, 4040, 4041, 4038, 4039, 4042, 4043, 4137, 4136, 4139, 4138, 4134, 4135, 4185, 4184, 4182, 4183, 4186, 4187, 4061, 4060, 4058, 4059, 4056, 4057, 4084, 4085, 4080, 4081, 4082, 4083, 4208, 4209, 4207, 4206, 4211, 4210, 4123, 4122, 4127, 4126, 4125, 4124, 4088, 4089, 4087, 4086, 4091, 4090, 4155, 4154, 4156, 4157, 4152, 4153, 4216, 4217, 4213, 4212, 4215, 4214, 4112, 4113, 4111, 4110, 4114, 4115, 4198, 4199, 4197, 4196, 4195, 4194, 4099, 4098, 4100, 4101, 4103, 4102, 4175, 4174, 4172, 4173, 4170, 4171, 4190, 4191, 4192, 4193, 4189, 4188, 4128, 4129, 4130, 4131, 4132, 4133, 4066, 4067, 4065, 4064, 4063, 4062, 4203, 4202, 4204, 4205, 4201, 4200, 4163, 4162, 4161, 4160, 4158, 4159, 4106, 4107, 4108, 4109, 4104, 4105, 4165, 4164, 4168, 4169, 4167, 4166, 4095, 4094, 4093, 4092, 4096, 4097, 4044, 4045, 4046, 4047, 4048, 4049, 1167, 1166, 1164, 1165, 1169, 1168, 1195, 1194, 1197, 1196, 1199, 1198, 1338, 1339, 1343, 1342, 1340, 1341, 1241, 1240, 1238, 1239, 1237, 1236, 1286, 1287, 1284, 1285, 1288, 1289, 1221, 1220, 1219, 1218, 1223, 1222, 1252, 1253, 1249, 1248, 1251, 1250, 1308, 1309, 1312, 1313, 1311, 1310, 1245, 1244, 1242, 1243, 1247, 1246, 1293, 1292] +private def clayworthR_fwd_c22 : Array (Fin 12096) := #[1290, 1291, 1294, 1295, 1186, 1187, 1182, 1183, 1185, 1184, 1297, 1296, 1299, 1298, 1300, 1301, 1267, 1266, 1271, 1270, 1268, 1269, 1200, 1201, 1204, 1205, 1203, 1202, 1228, 1229, 1226, 1227, 1224, 1225, 1315, 1314, 1317, 1316, 1319, 1318, 1232, 1233, 1230, 1231, 1234, 1235, 1256, 1257, 1258, 1259, 1254, 1255, 1328, 1329, 1327, 1326, 1331, 1330, 1335, 1334, 1333, 1332, 1337, 1336, 1212, 1213, 1214, 1215, 1216, 1217, 1306, 1307, 1304, 1305, 1302, 1303, 1191, 1190, 1192, 1193, 1189, 1188, 1263, 1262, 1261, 1260, 1264, 1265, 1162, 1163, 1158, 1159, 1160, 1161, 1171, 1170, 1173, 1172, 1174, 1175, 1273, 1272, 1276, 1277, 1275, 1274, 1320, 1321, 1323, 1322, 1325, 1324, 1208, 1209, 1206, 1207, 1210, 1211, 1280, 1281, 1278, 1279, 1282, 1283, 1155, 1154, 1156, 1157, 1153, 1152, 1181, 1180, 1177, 1176, 1178, 1179, 7886, 7887, 7885, 7884, 7888, 7889, 7933, 7932, 7935, 7934, 7936, 7937, 8060, 8061, 8063, 8062, 8059, 8058, 7982, 7983, 7984, 7985, 7980, 7981, 7974, 7975, 7979, 7978, 7977, 7976, 8017, 8016, 8021, 8020, 8018, 8019, 7970, 7971, 7972, 7973, 7969, 7968, 8013, 8012, 8015, 8014, 8011, 8010, 7923, 7922, 7924, 7925, 7921, 7920, 7963, 7962, 7965, 7964, 7966, 7967, 7912, 7913, 7910, 7911, 7908, 7909, 7940, 7941, 7938, 7939, 7942, 7943, 7987, 7986, 7991, 7990, 7988, 7989, 7894, 7895, 7892, 7893, 7891, 7890, 8052, 8053, 8054, 8055, 8057, 8056, 8028, 8029, 8031, 8030, 8033, 8032, 7946, 7947, 7949, 7948, 7944, 7945, 7915, 7914, 7919, 7918, 7917, 7916, 8040, 8041, 8045, 8044, 8042, 8043, 8049, 8048, 8051, 8050, 8047, 8046, 8009, 8008, 8005, 8004, 8007, 8006, 7960, 7961, 7957, 7956, 7959, 7958, 7881, 7880, 7878, 7879, 7882, 7883, 7928, 7929, 7931, 7930, 7927, 7926, 7950, 7951, 7953, 7952, 7955, 7954, 7904, 7905, 7903, 7902, 7907, 7906, 8001, 8000, 7998, 7999, 8003, 8002, 7992, 7993, 7995, 7994, 7996, 7997, 8034, 8035, 8036, 8037, 8039, 8038, 7896, 7897, 7900, 7901, 7898, 7899, 7875, 7874, 7877, 7876, 7873, 7872, 8024, 8025, 8027, 8026, 8023, 8022, 393, 392, 390, 391, 394, 395, 571, 570, 574, 575, 573, 572, 500, 501, 503, 502, 499, 498, 475, 474, 477, 476, 479, 478, 518, 519, 521, 520, 517, 516, 511, 510, 515, 514, 513, 512, 534, 535, 536, 537, 539, 538, 506, 507, 508, 509, 505, 504, 557, 556, 555, 554, 553, 552, 494, 495, 497, 496, 493, 492, 439, 438, 441, 440, 443, 442, 401, 400, 399, 398, 397, 396, 437, 436, 435, 434, 433, 432, 546, 547, 548, 549, 551, 550, 481, 480, 484, 485, 483, 482, 445, 444, 449, 448, 446, 447, 489, 488, 487, 486, 490, 491, 415, 414, 417, 416, 419, 418, 559, 558, 561, 560, 563, 562, 425, 424, 423, 422, 421, 420, 408, 409, 412, 413, 410, 411, 543, 542, 544, 545, 541, 540, 523, 522, 525, 524, 527, 526, 388, 389, 384, 385, 387, 386, 430, 431, 427, 426, 428, 429, 470, 471, 473, 472, 469, 468, 564, 565, 566, 567, 568, 569, 463, 462, 464, 465, 466, 467, 458, 459, 456, 457] +private def clayworthR_fwd_c23 : Array (Fin 12096) := #[460, 461, 402, 403, 407, 406, 405, 404, 531, 530, 529, 528, 533, 532, 454, 455, 452, 453, 450, 451, 9796, 9797, 9795, 9794, 9793, 9792, 9800, 9801, 9803, 9802, 9799, 9798, 9847, 9846, 9848, 9849, 9851, 9850, 9982, 9983, 9981, 9980, 9979, 9978, 9856, 9857, 9854, 9855, 9852, 9853, 9903, 9902, 9905, 9904, 9900, 9901, 9887, 9886, 9884, 9885, 9882, 9883, 9922, 9923, 9920, 9921, 9919, 9918, 9917, 9916, 9914, 9915, 9913, 9912, 9944, 9945, 9946, 9947, 9942, 9943, 9972, 9973, 9977, 9976, 9975, 9974, 9837, 9836, 9839, 9838, 9834, 9835, 9906, 9907, 9908, 9909, 9911, 9910, 9862, 9863, 9858, 9859, 9861, 9860, 9952, 9953, 9949, 9948, 9951, 9950, 9926, 9927, 9928, 9929, 9925, 9924, 9806, 9807, 9809, 9808, 9805, 9804, 9889, 9888, 9893, 9892, 9890, 9891, 9866, 9867, 9868, 9869, 9864, 9865, 9895, 9894, 9899, 9898, 9897, 9896, 9831, 9830, 9832, 9833, 9829, 9828, 9968, 9969, 9971, 9970, 9966, 9967, 9877, 9876, 9879, 9878, 9880, 9881, 9954, 9955, 9958, 9959, 9956, 9957, 9940, 9941, 9936, 9937, 9939, 9938, 9842, 9843, 9840, 9841, 9844, 9845, 9822, 9823, 9826, 9827, 9824, 9825, 9810, 9811, 9812, 9813, 9814, 9815, 9964, 9965, 9960, 9961, 9963, 9962, 9933, 9932, 9935, 9934, 9930, 9931, 9818, 9819, 9820, 9821, 9816, 9817, 9875, 9874, 9873, 9872, 9871, 9870, 1536, 1537, 1538, 1539, 1540, 1541, 1596, 1597, 1599, 1598, 1600, 1601, 1726, 1727, 1724, 1725, 1723, 1722, 1606, 1607, 1604, 1605, 1602, 1603, 1636, 1637, 1633, 1632, 1635, 1634, 1626, 1627, 1630, 1631, 1628, 1629, 1653, 1652, 1651, 1650, 1654, 1655, 1672, 1673, 1671, 1670, 1669, 1668, 1544, 1545, 1546, 1547, 1543, 1542, 1583, 1582, 1579, 1578, 1580, 1581, 1570, 1571, 1567, 1566, 1568, 1569, 1667, 1666, 1664, 1665, 1663, 1662, 1610, 1611, 1612, 1613, 1608, 1609, 1643, 1642, 1640, 1641, 1638, 1639, 1688, 1689, 1691, 1690, 1687, 1686, 1645, 1644, 1648, 1649, 1647, 1646, 1658, 1659, 1661, 1660, 1656, 1657, 1574, 1575, 1577, 1576, 1573, 1572, 1697, 1696, 1695, 1694, 1693, 1692, 1713, 1712, 1715, 1714, 1711, 1710, 1622, 1623, 1621, 1620, 1624, 1625, 1703, 1702, 1701, 1700, 1699, 1698, 1675, 1674, 1676, 1677, 1678, 1679, 1586, 1587, 1589, 1588, 1584, 1585, 1560, 1561, 1562, 1563, 1564, 1565, 1705, 1704, 1706, 1707, 1708, 1709, 1594, 1595, 1593, 1592, 1591, 1590, 1615, 1614, 1619, 1618, 1616, 1617, 1554, 1555, 1556, 1557, 1558, 1559, 1716, 1717, 1718, 1719, 1720, 1721, 1551, 1550, 1548, 1549, 1553, 1552, 1684, 1685, 1680, 1681, 1682, 1683, 3845, 3844, 3842, 3843, 3841, 3840, 3861, 3860, 3863, 3862, 3858, 3859, 3888, 3889, 3893, 3892, 3890, 3891, 4026, 4027, 4029, 4028, 4030, 4031, 3944, 3945, 3947, 3946, 3942, 3943, 3940, 3941, 3937, 3936, 3938, 3939, 3970, 3971, 3967, 3966, 3968, 3969, 3924, 3925, 3927, 3926, 3928, 3929, 3920, 3921, 3919, 3918, 3922, 3923, 3958, 3959, 3957, 3956, 3955, 3954, 3953, 3952, 3951, 3950, 3949, 3948, 4012, 4013, 4011, 4010, 4008, 4009, 3848, 3849, 3847, 3846, 3850, 3851, 3901, 3900, 3903, 3902, 3904, 3905, 3981, 3980, 3983, 3982, 3978, 3979, 3867, 3866, 3868, 3869, 3865, 3864] +private def clayworthR_fwd_c24 : Array (Fin 12096) := #[3898, 3899, 3896, 3897, 3894, 3895, 3930, 3931, 3935, 3934, 3933, 3932, 3877, 3876, 3881, 3880, 3879, 3878, 3999, 3998, 3996, 3997, 4001, 4000, 4021, 4020, 4025, 4024, 4023, 4022, 4016, 4017, 4019, 4018, 4014, 4015, 4006, 4007, 4004, 4005, 4003, 4002, 3972, 3973, 3977, 3976, 3975, 3974, 3989, 3988, 3985, 3984, 3986, 3987, 3887, 3886, 3885, 3884, 3883, 3882, 3913, 3912, 3917, 3916, 3914, 3915, 3872, 3873, 3870, 3871, 3875, 3874, 3962, 3963, 3961, 3960, 3964, 3965, 3906, 3907, 3908, 3909, 3910, 3911, 3852, 3853, 3854, 3855, 3856, 3857, 3995, 3994, 3991, 3990, 3993, 3992] + +private def clayworthR_fwd : Array (Fin 12096) := + clayworthR_fwd_c0 ++ clayworthR_fwd_c1 ++ clayworthR_fwd_c2 ++ clayworthR_fwd_c3 ++ clayworthR_fwd_c4 ++ clayworthR_fwd_c5 ++ clayworthR_fwd_c6 ++ clayworthR_fwd_c7 ++ clayworthR_fwd_c8 ++ clayworthR_fwd_c9 ++ clayworthR_fwd_c10 ++ clayworthR_fwd_c11 ++ clayworthR_fwd_c12 ++ clayworthR_fwd_c13 ++ clayworthR_fwd_c14 ++ clayworthR_fwd_c15 ++ clayworthR_fwd_c16 ++ clayworthR_fwd_c17 ++ clayworthR_fwd_c18 ++ clayworthR_fwd_c19 ++ clayworthR_fwd_c20 ++ clayworthR_fwd_c21 ++ clayworthR_fwd_c22 ++ clayworthR_fwd_c23 ++ clayworthR_fwd_c24 + +private def clayworthR_inv_c0 : Array (Fin 12096) := #[40, 41, 36, 37, 38, 39, 133, 132, 137, 136, 134, 135, 5, 4, 1, 0, 3, 2, 71, 70, 66, 67, 69, 68, 180, 181, 182, 183, 184, 185, 45, 44, 46, 47, 42, 43, 23, 22, 18, 19, 21, 20, 77, 76, 73, 72, 75, 74, 56, 57, 54, 55, 58, 59, 190, 191, 189, 188, 187, 186, 170, 171, 172, 173, 168, 169, 112, 113, 108, 109, 110, 111, 138, 139, 141, 140, 143, 142, 26, 27, 28, 29, 24, 25, 122, 123, 125, 124, 120, 121, 85, 84, 89, 88, 86, 87, 52, 53, 48, 49, 50, 51, 16, 17, 13, 12, 15, 14, 95, 94, 91, 90, 93, 92, 156, 157, 160, 161, 158, 159, 149, 148, 146, 147, 144, 145, 115, 114, 119, 118, 117, 116, 65, 64, 60, 61, 62, 63, 34, 35, 31, 30, 33, 32, 179, 178, 175, 174, 176, 177, 83, 82, 78, 79, 81, 80, 164, 165, 162, 163, 166, 167, 101, 100, 97, 96, 98, 99, 130, 131, 127, 126, 129, 128, 104, 105, 106, 107, 102, 103, 152, 153, 154, 155, 150, 151, 10, 11, 6, 7, 8, 9, 3076, 3077, 3074, 3075, 3072, 3073, 3216, 3217, 3218, 3219, 3220, 3221, 3229, 3228, 3233, 3232, 3231, 3230, 3256, 3257, 3252, 3253, 3255, 3254, 3143, 3142, 3138, 3139, 3140, 3141, 3126, 3127, 3131, 3130, 3129, 3128, 3205, 3204, 3208, 3209, 3207, 3206, 3225, 3224, 3227, 3226, 3222, 3223, 3261, 3260, 3262, 3263, 3258, 3259, 3246, 3247, 3248, 3249, 3250, 3251, 3193, 3192, 3194, 3195, 3196, 3197, 3183, 3182, 3180, 3181, 3185, 3184, 3099, 3098, 3097, 3096, 3101, 3100, 3091, 3090, 3092, 3093, 3095, 3094, 3201, 3200, 3203, 3202, 3198, 3199, 3163, 3162, 3166, 3167, 3164, 3165, 3132, 3133, 3134, 3135, 3136, 3137, 3116, 3117, 3115, 3114, 3118, 3119, 3113, 3112, 3111, 3110, 3109, 3108, 3105, 3104, 3107, 3106, 3103, 3102, 3151, 3150, 3155, 3154, 3153, 3152, 3240, 3241, 3243, 3242, 3245, 3244, 3236, 3237, 3234, 3235, 3239, 3238, 3087, 3086, 3084, 3085, 3088, 3089, 3147, 3146, 3148, 3149, 3145, 3144, 3191, 3190, 3187, 3186, 3189, 3188, 3211, 3210, 3213, 3212, 3215, 3214, 3158, 3159, 3156, 3157, 3161, 3160, 3121, 3120, 3123, 3122, 3125, 3124, 3176, 3177, 3179, 3178, 3175, 3174, 3171, 3170, 3172, 3173, 3169, 3168, 3083, 3082, 3078, 3079, 3081, 3080, 11468, 11469, 11471, 11470, 11466, 11467, 11330, 11331, 11329, 11328, 11332, 11333, 11399, 11398, 11397, 11396, 11395, 11394, 11502, 11503, 11507, 11506, 11505, 11504, 11448, 11449, 11452, 11453, 11450, 11451, 11431, 11430, 11433, 11432, 11435, 11434, 11447, 11446, 11445, 11444, 11443, 11442, 11475, 11474, 11476, 11477, 11472, 11473, 11405, 11404, 11403, 11402, 11401, 11400, 11389, 11388, 11391, 11390, 11393, 11392, 11419, 11418, 11422, 11423, 11421, 11420, 11518, 11519, 11516, 11517, 11514, 11515, 11498, 11499, 11496, 11497, 11500, 11501, 11491, 11490, 11492, 11493, 11494, 11495, 11483, 11482, 11478, 11479, 11481, 11480, 11347, 11346, 11349, 11348, 11351, 11350, 11413, 11412, 11417, 11416, 11414, 11415, 11427, 11426, 11425, 11424, 11428, 11429, 11387, 11386, 11382, 11383, 11385, 11384, 11345, 11344] +private def clayworthR_inv_c1 : Array (Fin 12096) := #[11340, 11341, 11343, 11342, 11375, 11374, 11370, 11371, 11372, 11373, 11359, 11358, 11363, 11362, 11361, 11360, 11357, 11356, 11352, 11353, 11355, 11354, 11461, 11460, 11463, 11462, 11465, 11464, 11511, 11510, 11509, 11508, 11513, 11512, 11364, 11365, 11366, 11367, 11369, 11368, 11459, 11458, 11455, 11454, 11456, 11457, 11406, 11407, 11408, 11409, 11411, 11410, 11381, 11380, 11379, 11378, 11377, 11376, 11437, 11436, 11439, 11438, 11441, 11440, 11484, 11485, 11486, 11487, 11488, 11489, 11335, 11334, 11339, 11338, 11336, 11337, 9027, 9026, 9029, 9028, 9024, 9025, 9090, 9091, 9094, 9095, 9092, 9093, 9210, 9211, 9213, 9212, 9214, 9215, 9032, 9033, 9031, 9030, 9035, 9034, 9130, 9131, 9129, 9128, 9126, 9127, 9202, 9203, 9200, 9201, 9198, 9199, 9105, 9104, 9107, 9106, 9102, 9103, 9097, 9096, 9100, 9101, 9098, 9099, 9173, 9172, 9171, 9170, 9168, 9169, 9048, 9049, 9053, 9052, 9050, 9051, 9110, 9111, 9113, 9112, 9109, 9108, 9058, 9059, 9056, 9057, 9055, 9054, 9047, 9046, 9045, 9044, 9042, 9043, 9083, 9082, 9079, 9078, 9080, 9081, 9069, 9068, 9070, 9071, 9066, 9067, 9142, 9143, 9138, 9139, 9140, 9141, 9124, 9125, 9121, 9120, 9122, 9123, 9207, 9206, 9204, 9205, 9208, 9209, 9185, 9184, 9182, 9183, 9181, 9180, 9160, 9161, 9157, 9156, 9159, 9158, 9060, 9061, 9064, 9065, 9062, 9063, 9116, 9117, 9118, 9119, 9114, 9115, 9073, 9072, 9076, 9077, 9074, 9075, 9162, 9163, 9166, 9167, 9164, 9165, 9194, 9195, 9193, 9192, 9197, 9196, 9179, 9178, 9174, 9175, 9177, 9176, 9135, 9134, 9133, 9132, 9136, 9137, 9088, 9089, 9084, 9085, 9087, 9086, 9155, 9154, 9150, 9151, 9153, 9152, 9149, 9148, 9145, 9144, 9147, 9146, 9191, 9190, 9187, 9186, 9188, 9189, 9040, 9041, 9037, 9036, 9039, 9038, 197, 196, 193, 192, 195, 194, 371, 370, 366, 367, 368, 369, 338, 339, 337, 336, 341, 340, 256, 257, 253, 252, 254, 255, 359, 358, 356, 357, 355, 354, 330, 331, 334, 335, 333, 332, 240, 241, 242, 243, 244, 245, 383, 382, 381, 380, 378, 379, 351, 350, 353, 352, 349, 348, 344, 345, 343, 342, 347, 346, 304, 305, 303, 302, 300, 301, 210, 211, 215, 214, 212, 213, 267, 266, 264, 265, 269, 268, 328, 329, 325, 324, 327, 326, 277, 276, 281, 280, 279, 278, 233, 232, 228, 229, 230, 231, 219, 218, 221, 220, 216, 217, 287, 286, 283, 282, 285, 284, 364, 365, 360, 361, 363, 362, 209, 208, 207, 206, 204, 205, 320, 321, 323, 322, 319, 318, 238, 239, 234, 235, 236, 237, 249, 248, 251, 250, 246, 247, 222, 223, 224, 225, 226, 227, 313, 312, 314, 315, 317, 316, 377, 376, 373, 372, 374, 375, 270, 271, 273, 272, 274, 275, 291, 290, 289, 288, 293, 292, 309, 308, 310, 311, 307, 306, 261, 260, 258, 259, 262, 263, 299, 298, 295, 294, 297, 296, 198, 199, 202, 203, 201, 200, 4421, 4420, 4419, 4418, 4416, 4417, 4595, 4594, 4591, 4590, 4593, 4592, 4550, 4551, 4549, 4548, 4552, 4553, 4427, 4426, 4422, 4423, 4424, 4425, 4450, 4451, 4449, 4448, 4447, 4446, 4488, 4489, 4490, 4491, 4493, 4492, 4535, 4534, 4532, 4533] +private def clayworthR_inv_c2 : Array (Fin 12096) := #[4531, 4530, 4481, 4480, 4476, 4477, 4478, 4479, 4607, 4606, 4605, 4604, 4602, 4603, 4583, 4582, 4578, 4579, 4580, 4581, 4559, 4558, 4555, 4554, 4557, 4556, 4466, 4467, 4468, 4469, 4464, 4465, 4487, 4486, 4484, 4485, 4483, 4482, 4432, 4433, 4431, 4430, 4429, 4428, 4445, 4444, 4442, 4443, 4440, 4441, 4542, 4543, 4544, 4545, 4546, 4547, 4458, 4459, 4461, 4460, 4463, 4462, 4573, 4572, 4575, 4574, 4577, 4576, 4588, 4589, 4586, 4587, 4585, 4584, 4565, 4564, 4562, 4563, 4561, 4560, 4517, 4516, 4514, 4515, 4512, 4513, 4438, 4439, 4435, 4434, 4437, 4436, 4527, 4526, 4529, 4528, 4524, 4525, 4457, 4456, 4453, 4452, 4455, 4454, 4518, 4519, 4522, 4523, 4520, 4521, 4601, 4600, 4597, 4596, 4598, 4599, 4470, 4471, 4472, 4473, 4475, 4474, 4496, 4497, 4494, 4495, 4499, 4498, 4511, 4510, 4507, 4506, 4509, 4508, 4540, 4541, 4536, 4537, 4539, 4538, 4504, 4505, 4501, 4500, 4503, 4502, 4571, 4570, 4566, 4567, 4568, 4569, 11129, 11128, 11125, 11124, 11126, 11127, 11090, 11091, 11092, 11093, 11088, 11089, 10946, 10947, 10945, 10944, 10949, 10948, 11095, 11094, 11097, 11096, 11098, 11099, 11133, 11132, 11134, 11135, 11131, 11130, 11006, 11007, 11009, 11008, 11004, 11005, 11081, 11080, 11077, 11076, 11078, 11079, 10951, 10950, 10953, 10952, 10955, 10954, 11022, 11023, 11027, 11026, 11024, 11025, 11114, 11115, 11112, 11113, 11116, 11117, 11064, 11065, 11066, 11067, 11068, 11069, 10977, 10976, 10975, 10974, 10979, 10978, 11032, 11033, 11030, 11031, 11028, 11029, 11042, 11043, 11040, 11041, 11044, 11045, 10967, 10966, 10964, 10965, 10963, 10962, 10994, 10995, 10993, 10992, 10997, 10996, 10983, 10982, 10985, 10984, 10980, 10981, 11050, 11051, 11046, 11047, 11048, 11049, 11085, 11084, 11083, 11082, 11086, 11087, 11017, 11016, 11020, 11021, 11019, 11018, 11101, 11100, 11105, 11104, 11102, 11103, 11120, 11121, 11118, 11119, 11122, 11123, 10970, 10971, 10968, 10969, 10972, 10973, 11000, 11001, 10999, 10998, 11002, 11003, 11011, 11010, 11013, 11012, 11014, 11015, 11074, 11075, 11072, 11073, 11070, 11071, 10986, 10987, 10991, 10990, 10988, 10989, 11035, 11034, 11037, 11036, 11039, 11038, 11106, 11107, 11109, 11108, 11111, 11110, 11055, 11054, 11052, 11053, 11057, 11056, 11061, 11060, 11059, 11058, 11063, 11062, 10956, 10957, 10960, 10961, 10959, 10958, 9653, 9652, 9649, 9648, 9651, 9650, 9763, 9762, 9764, 9765, 9767, 9766, 9784, 9785, 9780, 9781, 9782, 9783, 9720, 9721, 9725, 9724, 9723, 9722, 9679, 9678, 9681, 9680, 9682, 9683, 9717, 9716, 9715, 9714, 9718, 9719, 9736, 9737, 9732, 9733, 9734, 9735, 9616, 9617, 9615, 9614, 9613, 9612, 9789, 9788, 9790, 9791, 9786, 9787, 9758, 9759, 9757, 9756, 9761, 9760, 9690, 9691, 9693, 9692, 9694, 9695, 9740, 9741, 9739, 9738, 9743, 9742, 9633, 9632, 9631, 9630, 9635, 9634, 9625, 9624, 9629, 9628, 9627, 9626, 9712, 9713, 9710, 9711, 9709, 9708, 9610, 9611, 9608, 9609, 9607, 9606, 9644, 9645, 9642, 9643, 9646, 9647, 9636, 9637, 9641, 9640, 9638, 9639, 9731, 9730, 9726, 9727, 9729, 9728, 9663, 9662, 9665, 9664, 9661, 9660, 9770, 9771, 9773, 9772, 9769, 9768, 9746, 9747, 9744, 9745, 9749, 9748, 9698, 9699, 9700, 9701, 9696, 9697, 9621, 9620, 9623, 9622, 9619, 9618, 9654, 9655, 9656, 9657, 9658, 9659, 9703, 9702, 9705, 9704, 9707, 9706] +private def clayworthR_inv_c3 : Array (Fin 12096) := #[9776, 9777, 9778, 9779, 9774, 9775, 9676, 9677, 9672, 9673, 9674, 9675, 9754, 9755, 9750, 9751, 9753, 9752, 9689, 9688, 9685, 9684, 9686, 9687, 9667, 9666, 9669, 9668, 9671, 9670, 9600, 9601, 9603, 9602, 9604, 9605, 11712, 11713, 11714, 11715, 11716, 11717, 11765, 11764, 11760, 11761, 11762, 11763, 11894, 11895, 11893, 11892, 11897, 11896, 11880, 11881, 11882, 11883, 11884, 11885, 11856, 11857, 11858, 11859, 11860, 11861, 11775, 11774, 11776, 11777, 11772, 11773, 11819, 11818, 11814, 11815, 11817, 11816, 11769, 11768, 11770, 11771, 11767, 11766, 11854, 11855, 11850, 11851, 11853, 11852, 11873, 11872, 11871, 11870, 11868, 11869, 11718, 11719, 11721, 11720, 11722, 11723, 11734, 11735, 11732, 11733, 11730, 11731, 11788, 11789, 11784, 11785, 11786, 11787, 11875, 11874, 11878, 11879, 11877, 11876, 11835, 11834, 11832, 11833, 11836, 11837, 11742, 11743, 11746, 11747, 11744, 11745, 11739, 11738, 11741, 11740, 11736, 11737, 11794, 11795, 11792, 11793, 11791, 11790, 11803, 11802, 11807, 11806, 11804, 11805, 11751, 11750, 11749, 11748, 11752, 11753, 11812, 11813, 11808, 11809, 11811, 11810, 11783, 11782, 11780, 11781, 11779, 11778, 11759, 11758, 11757, 11756, 11754, 11755, 11845, 11844, 11846, 11847, 11848, 11849, 11900, 11901, 11902, 11903, 11898, 11899, 11801, 11800, 11796, 11797, 11799, 11798, 11825, 11824, 11823, 11822, 11821, 11820, 11843, 11842, 11841, 11840, 11839, 11838, 11863, 11862, 11864, 11865, 11866, 11867, 11831, 11830, 11827, 11826, 11829, 11828, 11886, 11887, 11888, 11889, 11890, 11891, 11729, 11728, 11726, 11727, 11724, 11725, 8624, 8625, 8622, 8623, 8626, 8627, 8448, 8449, 8453, 8452, 8450, 8451, 8604, 8605, 8607, 8606, 8609, 8608, 8638, 8639, 8634, 8635, 8636, 8637, 8550, 8551, 8552, 8553, 8554, 8555, 8500, 8501, 8497, 8496, 8499, 8498, 8591, 8590, 8587, 8586, 8589, 8588, 8603, 8602, 8601, 8600, 8599, 8598, 8466, 8467, 8468, 8469, 8471, 8470, 8509, 8508, 8511, 8510, 8513, 8512, 8535, 8534, 8537, 8536, 8533, 8532, 8562, 8563, 8565, 8564, 8567, 8566, 8484, 8485, 8489, 8488, 8487, 8486, 8523, 8522, 8521, 8520, 8524, 8525, 8583, 8582, 8585, 8584, 8581, 8580, 8541, 8540, 8539, 8538, 8542, 8543, 8473, 8472, 8476, 8477, 8475, 8474, 8504, 8505, 8506, 8507, 8502, 8503, 8463, 8462, 8465, 8464, 8460, 8461, 8491, 8490, 8493, 8492, 8495, 8494, 8548, 8549, 8544, 8545, 8546, 8547, 8596, 8597, 8593, 8592, 8594, 8595, 8621, 8620, 8618, 8619, 8617, 8616, 8482, 8483, 8479, 8478, 8480, 8481, 8575, 8574, 8577, 8576, 8578, 8579, 8568, 8569, 8573, 8572, 8571, 8570, 8630, 8631, 8632, 8633, 8628, 8629, 8526, 8527, 8528, 8529, 8531, 8530, 8514, 8515, 8516, 8517, 8519, 8518, 8559, 8558, 8561, 8560, 8557, 8556, 8610, 8611, 8612, 8613, 8614, 8615, 8459, 8458, 8456, 8457, 8455, 8454, 3688, 3689, 3685, 3684, 3686, 3687, 3793, 3792, 3794, 3795, 3797, 3796, 3704, 3705, 3703, 3702, 3707, 3706, 3822, 3823, 3827, 3826, 3824, 3825, 3834, 3835, 3837, 3836, 3838, 3839, 3739, 3738, 3743, 3742, 3741, 3740, 3692, 3693, 3695, 3694, 3691, 3690, 3790, 3791, 3789, 3788, 3786, 3787, 3649, 3648, 3650, 3651, 3653, 3652, 3659, 3658, 3655, 3654, 3656, 3657, 3730, 3731, 3726, 3727, 3728, 3729, 3819, 3818, 3821, 3820, 3817, 3816, 3662, 3663, 3660, 3661, 3665, 3664, 3719, 3718] +private def clayworthR_inv_c4 : Array (Fin 12096) := #[3716, 3717, 3715, 3714, 3784, 3785, 3783, 3782, 3781, 3780, 3673, 3672, 3677, 3676, 3675, 3674, 3670, 3671, 3668, 3669, 3666, 3667, 3737, 3736, 3733, 3732, 3735, 3734, 3811, 3810, 3814, 3815, 3813, 3812, 3832, 3833, 3830, 3831, 3828, 3829, 3802, 3803, 3800, 3801, 3798, 3799, 3771, 3770, 3769, 3768, 3773, 3772, 3699, 3698, 3700, 3701, 3696, 3697, 3774, 3775, 3779, 3778, 3776, 3777, 3722, 3723, 3720, 3721, 3725, 3724, 3749, 3748, 3747, 3746, 3744, 3745, 3767, 3766, 3763, 3762, 3765, 3764, 3708, 3709, 3710, 3711, 3713, 3712, 3679, 3678, 3680, 3681, 3682, 3683, 3761, 3760, 3756, 3757, 3758, 3759, 3752, 3753, 3750, 3751, 3754, 3755, 3805, 3804, 3808, 3809, 3806, 3807, 6123, 6122, 6121, 6120, 6125, 6124, 6002, 6003, 6001, 6000, 6004, 6005, 6091, 6090, 6093, 6092, 6094, 6095, 6137, 6136, 6132, 6133, 6135, 6134, 6072, 6073, 6074, 6075, 6076, 6077, 5993, 5992, 5991, 5990, 5989, 5988, 6068, 6069, 6066, 6067, 6070, 6071, 6089, 6088, 6087, 6086, 6085, 6084, 5959, 5958, 5961, 5960, 5963, 5962, 6011, 6010, 6009, 6008, 6007, 6006, 5999, 5998, 5996, 5997, 5994, 5995, 6022, 6023, 6019, 6018, 6021, 6020, 6143, 6142, 6141, 6140, 6139, 6138, 6108, 6109, 6110, 6111, 6112, 6113, 6043, 6042, 6045, 6044, 6046, 6047, 5967, 5966, 5968, 5969, 5965, 5964, 6103, 6102, 6107, 6106, 6105, 6104, 6119, 6118, 6117, 6116, 6115, 6114, 6098, 6099, 6096, 6097, 6100, 6101, 6050, 6051, 6049, 6048, 6053, 6052, 6062, 6063, 6065, 6064, 6060, 6061, 5981, 5980, 5976, 5977, 5978, 5979, 5974, 5975, 5971, 5970, 5972, 5973, 6055, 6054, 6058, 6059, 6056, 6057, 6129, 6128, 6131, 6130, 6126, 6127, 6013, 6012, 6015, 6014, 6017, 6016, 6040, 6041, 6037, 6036, 6039, 6038, 6078, 6079, 6081, 6080, 6083, 6082, 5983, 5982, 5985, 5984, 5986, 5987, 6035, 6034, 6031, 6030, 6033, 6032, 6024, 6025, 6026, 6027, 6028, 6029, 5953, 5952, 5955, 5954, 5957, 5956, 3269, 3268, 3264, 3265, 3266, 3267, 3323, 3322, 3318, 3319, 3321, 3320, 3408, 3409, 3413, 3412, 3410, 3411, 3452, 3453, 3455, 3454, 3451, 3450, 3400, 3401, 3399, 3398, 3397, 3396, 3333, 3332, 3334, 3335, 3331, 3330, 3394, 3395, 3392, 3393, 3390, 3391, 3418, 3419, 3416, 3417, 3414, 3415, 3270, 3271, 3272, 3273, 3274, 3275, 3358, 3359, 3355, 3354, 3357, 3356, 3338, 3339, 3336, 3337, 3341, 3340, 3420, 3421, 3422, 3423, 3424, 3425, 3282, 3283, 3284, 3285, 3286, 3287, 3281, 3280, 3279, 3278, 3277, 3276, 3326, 3327, 3328, 3329, 3324, 3325, 3300, 3301, 3303, 3302, 3304, 3305, 3293, 3292, 3291, 3290, 3288, 3289, 3376, 3377, 3373, 3372, 3375, 3374, 3405, 3404, 3406, 3407, 3403, 3402, 3349, 3348, 3352, 3353, 3351, 3350, 3432, 3433, 3434, 3435, 3437, 3436, 3443, 3442, 3439, 3438, 3440, 3441, 3387, 3386, 3384, 3385, 3389, 3388, 3310, 3311, 3307, 3306, 3309, 3308, 3342, 3343, 3346, 3347, 3344, 3345, 3298, 3299, 3296, 3297, 3294, 3295, 3449, 3448, 3444, 3445, 3447, 3446, 3370, 3371, 3367, 3366, 3369, 3368, 3363, 3362, 3360, 3361, 3365, 3364, 3313, 3312, 3315, 3314, 3316, 3317, 3381, 3380, 3382, 3383, 3378, 3379, 3427, 3426, 3428, 3429, 3431, 3430, 8293, 8292, 8296, 8297] +private def clayworthR_inv_c5 : Array (Fin 12096) := #[8295, 8294, 8431, 8430, 8433, 8432, 8435, 8434, 8388, 8389, 8393, 8392, 8391, 8390, 8320, 8321, 8319, 8318, 8317, 8316, 8425, 8424, 8428, 8429, 8427, 8426, 8400, 8401, 8403, 8402, 8405, 8404, 8446, 8447, 8443, 8442, 8444, 8445, 8371, 8370, 8375, 8374, 8373, 8372, 8309, 8308, 8304, 8305, 8306, 8307, 8346, 8347, 8348, 8349, 8350, 8351, 8298, 8299, 8302, 8303, 8300, 8301, 8262, 8263, 8264, 8265, 8266, 8267, 8322, 8323, 8327, 8326, 8324, 8325, 8422, 8423, 8419, 8418, 8421, 8420, 8399, 8398, 8395, 8394, 8397, 8396, 8334, 8335, 8339, 8338, 8336, 8337, 8343, 8342, 8341, 8340, 8345, 8344, 8275, 8274, 8278, 8279, 8277, 8276, 8382, 8383, 8385, 8384, 8387, 8386, 8406, 8407, 8408, 8409, 8410, 8411, 8268, 8269, 8271, 8270, 8273, 8272, 8282, 8283, 8281, 8280, 8284, 8285, 8311, 8310, 8315, 8314, 8312, 8313, 8365, 8364, 8366, 8367, 8369, 8368, 8358, 8359, 8361, 8360, 8363, 8362, 8440, 8441, 8436, 8437, 8438, 8439, 8412, 8413, 8416, 8417, 8415, 8414, 8377, 8376, 8379, 8378, 8381, 8380, 8329, 8328, 8330, 8331, 8333, 8332, 8287, 8286, 8289, 8288, 8290, 8291, 8356, 8357, 8353, 8352, 8355, 8354, 8261, 8260, 8259, 8258, 8256, 8257, 9240, 9241, 9245, 9244, 9243, 9242, 9390, 9391, 9393, 9392, 9394, 9395, 9360, 9361, 9364, 9365, 9362, 9363, 9400, 9401, 9397, 9396, 9399, 9398, 9337, 9336, 9341, 9340, 9339, 9338, 9289, 9288, 9291, 9290, 9293, 9292, 9250, 9251, 9248, 9249, 9246, 9247, 9268, 9269, 9266, 9267, 9264, 9265, 9253, 9252, 9255, 9254, 9257, 9256, 9407, 9406, 9405, 9404, 9403, 9402, 9383, 9382, 9381, 9380, 9379, 9378, 9354, 9355, 9357, 9356, 9359, 9358, 9306, 9307, 9311, 9310, 9309, 9308, 9335, 9334, 9332, 9333, 9330, 9331, 9281, 9280, 9279, 9278, 9277, 9276, 9217, 9216, 9221, 9220, 9219, 9218, 9229, 9228, 9230, 9231, 9233, 9232, 9225, 9224, 9223, 9222, 9226, 9227, 9287, 9286, 9282, 9283, 9285, 9284, 9353, 9352, 9349, 9348, 9351, 9350, 9258, 9259, 9262, 9263, 9261, 9260, 9367, 9366, 9368, 9369, 9371, 9370, 9389, 9388, 9386, 9387, 9385, 9384, 9320, 9321, 9323, 9322, 9319, 9318, 9326, 9327, 9325, 9324, 9329, 9328, 9376, 9377, 9373, 9372, 9374, 9375, 9294, 9295, 9299, 9298, 9297, 9296, 9316, 9317, 9315, 9314, 9312, 9313, 9343, 9342, 9345, 9344, 9346, 9347, 9270, 9271, 9273, 9272, 9275, 9274, 9234, 9235, 9237, 9236, 9238, 9239, 9301, 9300, 9302, 9303, 9304, 9305, 547, 546, 551, 550, 549, 548, 566, 567, 569, 568, 564, 565, 449, 448, 446, 447, 445, 444, 436, 437, 432, 433, 434, 435, 401, 400, 396, 397, 399, 398, 471, 470, 472, 473, 468, 469, 452, 453, 451, 450, 455, 454, 483, 482, 480, 481, 484, 485, 575, 574, 572, 573, 570, 571, 545, 544, 540, 541, 543, 542, 535, 534, 538, 539, 537, 536, 511, 510, 513, 512, 514, 515, 408, 409, 412, 413, 410, 411, 479, 478, 476, 477, 474, 475, 403, 402, 406, 407, 404, 405, 440, 441, 443, 442, 439, 438, 391, 390, 394, 395, 392, 393, 420, 421, 425, 424, 422, 423, 414, 415, 418, 419, 417, 416, 491, 490, 486, 487, 488, 489] +private def clayworthR_inv_c6 : Array (Fin 12096) := #[467, 466, 463, 462, 465, 464, 556, 557, 553, 552, 555, 554, 526, 527, 524, 525, 522, 523, 431, 430, 427, 426, 428, 429, 458, 459, 456, 457, 461, 460, 530, 531, 533, 532, 529, 528, 560, 561, 563, 562, 559, 558, 497, 496, 494, 495, 493, 492, 521, 520, 518, 519, 517, 516, 506, 507, 508, 509, 504, 505, 501, 500, 499, 498, 502, 503, 389, 388, 385, 384, 386, 387, 965, 964, 961, 960, 962, 963, 1099, 1098, 1102, 1103, 1100, 1101, 1105, 1104, 1106, 1107, 1109, 1108, 1150, 1151, 1146, 1147, 1148, 1149, 1086, 1087, 1091, 1090, 1088, 1089, 1007, 1006, 1003, 1002, 1004, 1005, 1043, 1042, 1039, 1038, 1041, 1040, 1084, 1085, 1080, 1081, 1082, 1083, 969, 968, 967, 966, 970, 971, 1023, 1022, 1020, 1021, 1025, 1024, 1010, 1011, 1012, 1013, 1008, 1009, 1029, 1028, 1026, 1027, 1030, 1031, 1138, 1139, 1135, 1134, 1136, 1137, 1133, 1132, 1131, 1130, 1129, 1128, 1046, 1047, 1045, 1044, 1048, 1049, 1079, 1078, 1076, 1077, 1074, 1075, 983, 982, 979, 978, 980, 981, 997, 996, 1001, 1000, 998, 999, 995, 994, 992, 993, 990, 991, 989, 988, 987, 986, 984, 985, 1036, 1037, 1033, 1032, 1034, 1035, 1114, 1115, 1113, 1112, 1111, 1110, 1055, 1054, 1052, 1053, 1050, 1051, 1062, 1063, 1065, 1064, 1066, 1067, 1018, 1019, 1014, 1015, 1016, 1017, 1071, 1070, 1068, 1069, 1072, 1073, 1056, 1057, 1061, 1060, 1059, 1058, 1144, 1145, 1140, 1141, 1142, 1143, 1125, 1124, 1127, 1126, 1122, 1123, 1093, 1092, 1095, 1094, 1097, 1096, 1116, 1117, 1121, 1120, 1118, 1119, 972, 973, 974, 975, 976, 977, 4609, 4608, 4611, 4610, 4613, 4612, 4785, 4784, 4783, 4782, 4787, 4786, 4776, 4777, 4781, 4780, 4778, 4779, 4790, 4791, 4792, 4793, 4788, 4789, 4699, 4698, 4703, 4702, 4701, 4700, 4665, 4664, 4666, 4667, 4663, 4662, 4730, 4731, 4728, 4729, 4733, 4732, 4736, 4737, 4738, 4739, 4734, 4735, 4616, 4617, 4614, 4615, 4619, 4618, 4621, 4620, 4623, 4622, 4624, 4625, 4668, 4669, 4670, 4671, 4672, 4673, 4689, 4688, 4686, 4687, 4690, 4691, 4798, 4799, 4796, 4797, 4794, 4795, 4772, 4773, 4770, 4771, 4774, 4775, 4769, 4768, 4767, 4766, 4765, 4764, 4741, 4740, 4743, 4742, 4744, 4745, 4712, 4713, 4711, 4710, 4715, 4714, 4634, 4635, 4636, 4637, 4632, 4633, 4695, 4694, 4697, 4696, 4692, 4693, 4645, 4644, 4648, 4649, 4647, 4646, 4752, 4753, 4754, 4755, 4756, 4757, 4719, 4718, 4720, 4721, 4717, 4716, 4627, 4626, 4628, 4629, 4631, 4630, 4652, 4653, 4650, 4651, 4655, 4654, 4677, 4676, 4675, 4674, 4679, 4678, 4726, 4727, 4724, 4725, 4723, 4722, 4642, 4643, 4639, 4638, 4641, 4640, 4681, 4680, 4682, 4683, 4684, 4685, 4758, 4759, 4760, 4761, 4763, 4762, 4656, 4657, 4658, 4659, 4660, 4661, 4705, 4704, 4709, 4708, 4707, 4706, 4747, 4746, 4748, 4749, 4751, 4750, 3844, 3845, 3840, 3841, 3842, 3843, 4017, 4016, 4015, 4014, 4019, 4018, 3979, 3978, 3983, 3982, 3980, 3981, 3846, 3847, 3850, 3851, 3848, 3849, 3969, 3968, 3967, 3966, 3971, 3970, 3937, 3936, 3940, 3941, 3938, 3939, 3897, 3896, 3898, 3899, 3894, 3895, 3989, 3988] +private def clayworthR_inv_c7 : Array (Fin 12096) := #[3987, 3986, 3985, 3984, 3853, 3852, 3855, 3854, 3856, 3857, 3864, 3865, 3868, 3869, 3866, 3867, 3916, 3917, 3914, 3915, 3912, 3913, 4031, 4030, 4028, 4029, 4027, 4026, 4006, 4007, 4004, 4005, 4002, 4003, 3959, 3958, 3956, 3957, 3954, 3955, 3922, 3923, 3921, 3920, 3918, 3919, 3965, 3964, 3960, 3961, 3963, 3962, 3903, 3902, 3904, 3905, 3901, 3900, 3863, 3862, 3860, 3861, 3858, 3859, 3881, 3880, 3878, 3879, 3877, 3876, 3935, 3934, 3931, 3930, 3933, 3932, 3911, 3910, 3907, 3906, 3908, 3909, 4012, 4013, 4008, 4009, 4010, 4011, 3993, 3992, 3994, 3995, 3991, 3990, 3874, 3875, 3870, 3871, 3873, 3872, 3886, 3887, 3882, 3883, 3884, 3885, 4024, 4025, 4021, 4020, 4022, 4023, 3924, 3925, 3927, 3926, 3928, 3929, 3998, 3999, 4001, 4000, 3997, 3996, 3977, 3976, 3972, 3973, 3975, 3974, 3892, 3893, 3890, 3891, 3888, 3889, 3950, 3951, 3953, 3952, 3949, 3948, 3942, 3943, 3944, 3945, 3946, 3947, 5559, 5558, 5556, 5557, 5561, 5560, 5452, 5453, 5450, 5451, 5449, 5448, 5515, 5514, 5517, 5516, 5519, 5518, 5440, 5441, 5438, 5439, 5436, 5437, 5484, 5485, 5489, 5488, 5487, 5486, 5378, 5379, 5376, 5377, 5381, 5380, 5388, 5389, 5390, 5391, 5393, 5392, 5457, 5456, 5458, 5459, 5454, 5455, 5549, 5548, 5544, 5545, 5547, 5546, 5507, 5506, 5503, 5502, 5504, 5505, 5491, 5490, 5493, 5492, 5495, 5494, 5406, 5407, 5411, 5410, 5408, 5409, 5405, 5404, 5402, 5403, 5401, 5400, 5469, 5468, 5470, 5471, 5467, 5466, 5480, 5481, 5482, 5483, 5478, 5479, 5394, 5395, 5398, 5399, 5397, 5396, 5434, 5435, 5430, 5431, 5432, 5433, 5386, 5387, 5382, 5383, 5384, 5385, 5423, 5422, 5418, 5419, 5420, 5421, 5416, 5417, 5414, 5415, 5412, 5413, 5533, 5532, 5537, 5536, 5535, 5534, 5554, 5555, 5552, 5553, 5551, 5550, 5524, 5525, 5522, 5523, 5521, 5520, 5510, 5511, 5513, 5512, 5508, 5509, 5446, 5447, 5443, 5442, 5444, 5445, 5564, 5565, 5566, 5567, 5562, 5563, 5473, 5472, 5475, 5474, 5477, 5476, 5541, 5540, 5542, 5543, 5538, 5539, 5500, 5501, 5496, 5497, 5498, 5499, 5460, 5461, 5462, 5463, 5465, 5464, 5425, 5424, 5428, 5429, 5427, 5426, 5527, 5526, 5528, 5529, 5531, 5530, 11909, 11908, 11906, 11907, 11905, 11904, 11979, 11978, 11976, 11977, 11980, 11981, 12084, 12085, 12086, 12087, 12088, 12089, 11914, 11915, 11911, 11910, 11913, 11912, 11999, 11998, 11995, 11994, 11996, 11997, 12068, 12069, 12066, 12067, 12071, 12070, 12013, 12012, 12017, 12016, 12015, 12014, 12059, 12058, 12057, 12056, 12055, 12054, 11916, 11917, 11920, 11921, 11919, 11918, 12004, 12005, 12002, 12003, 12000, 12001, 11983, 11982, 11985, 11984, 11986, 11987, 12078, 12079, 12080, 12081, 12082, 12083, 12061, 12060, 12064, 12065, 12063, 12062, 11955, 11954, 11952, 11953, 11956, 11957, 11946, 11947, 11949, 11948, 11950, 11951, 12006, 12007, 12011, 12010, 12009, 12008, 11937, 11936, 11938, 11939, 11934, 11935, 11932, 11933, 11928, 11929, 11931, 11930, 11969, 11968, 11967, 11966, 11965, 11964, 11963, 11962, 11961, 11960, 11958, 11959, 12075, 12074, 12072, 12073, 12076, 12077, 11943, 11942, 11944, 11945, 11940, 11941, 12042, 12043, 12047, 12046, 12045, 12044, 11992, 11993, 11989, 11988, 11991, 11990, 12051, 12050, 12052, 12053, 12049, 12048, 12093, 12092, 12095, 12094, 12091, 12090, 12020, 12021, 12019, 12018] +private def clayworthR_inv_c8 : Array (Fin 12096) := #[12023, 12022, 12041, 12040, 12038, 12039, 12036, 12037, 11974, 11975, 11973, 11972, 11970, 11971, 12034, 12035, 12030, 12031, 12033, 12032, 12025, 12024, 12029, 12028, 12027, 12026, 11922, 11923, 11925, 11924, 11926, 11927, 10756, 10757, 10754, 10755, 10752, 10753, 10808, 10809, 10806, 10807, 10810, 10811, 10938, 10939, 10940, 10941, 10942, 10943, 10761, 10760, 10759, 10758, 10763, 10762, 10828, 10829, 10826, 10827, 10825, 10824, 10907, 10906, 10905, 10904, 10902, 10903, 10764, 10765, 10769, 10768, 10767, 10766, 10776, 10777, 10779, 10778, 10780, 10781, 10832, 10833, 10834, 10835, 10830, 10831, 10851, 10850, 10848, 10849, 10853, 10852, 10935, 10934, 10933, 10932, 10936, 10937, 10879, 10878, 10880, 10881, 10883, 10882, 10924, 10925, 10920, 10921, 10922, 10923, 10869, 10868, 10866, 10867, 10870, 10871, 10782, 10783, 10786, 10787, 10784, 10785, 10843, 10842, 10847, 10846, 10845, 10844, 10896, 10897, 10898, 10899, 10900, 10901, 10816, 10817, 10813, 10812, 10815, 10814, 10799, 10798, 10794, 10795, 10797, 10796, 10793, 10792, 10791, 10790, 10789, 10788, 10858, 10859, 10855, 10854, 10856, 10857, 10918, 10919, 10917, 10916, 10915, 10914, 10927, 10926, 10931, 10930, 10928, 10929, 10888, 10889, 10886, 10887, 10885, 10884, 10804, 10805, 10800, 10801, 10803, 10802, 10820, 10821, 10819, 10818, 10822, 10823, 10895, 10894, 10890, 10891, 10892, 10893, 10877, 10876, 10875, 10874, 10872, 10873, 10913, 10912, 10909, 10908, 10910, 10911, 10839, 10838, 10836, 10837, 10841, 10840, 10863, 10862, 10865, 10864, 10860, 10861, 10771, 10770, 10773, 10772, 10774, 10775, 10742, 10743, 10740, 10741, 10745, 10744, 10561, 10560, 10565, 10564, 10562, 10563, 10734, 10735, 10736, 10737, 10738, 10739, 10717, 10716, 10718, 10719, 10721, 10720, 10613, 10612, 10609, 10608, 10611, 10610, 10656, 10657, 10658, 10659, 10660, 10661, 10713, 10712, 10715, 10714, 10711, 10710, 10577, 10576, 10573, 10572, 10575, 10574, 10637, 10636, 10635, 10634, 10633, 10632, 10618, 10619, 10616, 10617, 10614, 10615, 10750, 10751, 10748, 10749, 10746, 10747, 10729, 10728, 10730, 10731, 10733, 10732, 10679, 10678, 10675, 10674, 10677, 10676, 10579, 10578, 10582, 10583, 10581, 10580, 10700, 10701, 10702, 10703, 10699, 10698, 10570, 10571, 10568, 10569, 10566, 10567, 10590, 10591, 10595, 10594, 10592, 10593, 10589, 10588, 10587, 10586, 10584, 10585, 10654, 10655, 10651, 10650, 10652, 10653, 10709, 10708, 10704, 10705, 10707, 10706, 10628, 10629, 10630, 10631, 10626, 10627, 10687, 10686, 10688, 10689, 10690, 10691, 10601, 10600, 10596, 10597, 10598, 10599, 10620, 10621, 10623, 10622, 10624, 10625, 10693, 10692, 10697, 10696, 10695, 10694, 10681, 10680, 10682, 10683, 10684, 10685, 10644, 10645, 10646, 10647, 10649, 10648, 10673, 10672, 10671, 10670, 10668, 10669, 10639, 10638, 10643, 10642, 10641, 10640, 10606, 10607, 10604, 10605, 10602, 10603, 10663, 10662, 10667, 10666, 10665, 10664, 10724, 10725, 10723, 10722, 10726, 10727, 7108, 7109, 7104, 7105, 7106, 7107, 7168, 7169, 7164, 7165, 7167, 7166, 7288, 7289, 7284, 7285, 7286, 7287, 7254, 7255, 7256, 7257, 7259, 7258, 7206, 7207, 7209, 7208, 7211, 7210, 7200, 7201, 7205, 7204, 7203, 7202, 7281, 7280, 7283, 7282, 7278, 7279, 7275, 7274, 7273, 7272, 7277, 7276, 7137, 7136, 7139, 7138, 7134, 7135, 7128, 7129, 7130, 7131, 7133, 7132, 7189, 7188, 7192, 7193, 7191, 7190, 7236, 7237, 7239, 7238, 7241, 7240, 7127, 7126, 7123, 7122, 7125, 7124, 7170, 7171, 7173, 7172, 7175, 7174] +private def clayworthR_inv_c9 : Array (Fin 12096) := #[7121, 7120, 7119, 7118, 7116, 7117, 7144, 7145, 7143, 7142, 7141, 7140, 7252, 7253, 7248, 7249, 7250, 7251, 7182, 7183, 7186, 7187, 7184, 7185, 7261, 7260, 7262, 7263, 7264, 7265, 7226, 7227, 7225, 7224, 7229, 7228, 7231, 7230, 7234, 7235, 7232, 7233, 7155, 7154, 7157, 7156, 7152, 7153, 7176, 7177, 7178, 7179, 7180, 7181, 7149, 7148, 7147, 7146, 7151, 7150, 7293, 7292, 7294, 7295, 7291, 7290, 7199, 7198, 7194, 7195, 7197, 7196, 7269, 7268, 7270, 7271, 7266, 7267, 7242, 7243, 7244, 7245, 7246, 7247, 7159, 7158, 7163, 7162, 7160, 7161, 7220, 7221, 7223, 7222, 7219, 7218, 7215, 7214, 7217, 7216, 7213, 7212, 7110, 7111, 7112, 7113, 7114, 7115, 9413, 9412, 9409, 9408, 9410, 9411, 9587, 9586, 9583, 9582, 9584, 9585, 9467, 9466, 9465, 9464, 9463, 9462, 9553, 9552, 9556, 9557, 9555, 9554, 9589, 9588, 9591, 9590, 9592, 9593, 9458, 9459, 9460, 9461, 9456, 9457, 9533, 9532, 9531, 9530, 9529, 9528, 9549, 9548, 9547, 9546, 9550, 9551, 9417, 9416, 9414, 9415, 9419, 9418, 9473, 9472, 9469, 9468, 9470, 9471, 9597, 9596, 9599, 9598, 9594, 9595, 9572, 9573, 9570, 9571, 9574, 9575, 9439, 9438, 9441, 9440, 9443, 9442, 9480, 9481, 9484, 9485, 9482, 9483, 9526, 9527, 9525, 9524, 9523, 9522, 9434, 9435, 9436, 9437, 9432, 9433, 9427, 9426, 9430, 9431, 9428, 9429, 9449, 9448, 9447, 9446, 9444, 9445, 9544, 9545, 9543, 9542, 9541, 9540, 9578, 9579, 9581, 9580, 9577, 9576, 9512, 9513, 9514, 9515, 9511, 9510, 9517, 9516, 9520, 9521, 9518, 9519, 9455, 9454, 9451, 9450, 9452, 9453, 9487, 9486, 9488, 9489, 9491, 9490, 9565, 9564, 9567, 9566, 9569, 9568, 9492, 9493, 9496, 9497, 9494, 9495, 9509, 9508, 9507, 9506, 9504, 9505, 9534, 9535, 9537, 9536, 9538, 9539, 9479, 9478, 9475, 9474, 9476, 9477, 9503, 9502, 9499, 9498, 9501, 9500, 9558, 9559, 9561, 9560, 9563, 9562, 9425, 9424, 9420, 9421, 9422, 9423, 6772, 6773, 6769, 6768, 6771, 6770, 6720, 6721, 6725, 6724, 6722, 6723, 6911, 6910, 6906, 6907, 6908, 6909, 6870, 6871, 6875, 6874, 6873, 6872, 6890, 6891, 6893, 6892, 6889, 6888, 6727, 6726, 6730, 6731, 6729, 6728, 6737, 6736, 6732, 6733, 6734, 6735, 6800, 6801, 6803, 6802, 6799, 6798, 6780, 6781, 6783, 6782, 6784, 6785, 6819, 6818, 6817, 6816, 6821, 6820, 6902, 6903, 6900, 6901, 6905, 6904, 6808, 6809, 6807, 6806, 6805, 6804, 6866, 6867, 6868, 6869, 6864, 6865, 6826, 6827, 6824, 6825, 6822, 6823, 6775, 6774, 6779, 6778, 6776, 6777, 6756, 6757, 6760, 6761, 6759, 6758, 6746, 6747, 6749, 6748, 6744, 6745, 6886, 6887, 6884, 6885, 6882, 6883, 6796, 6797, 6795, 6794, 6792, 6793, 6896, 6897, 6898, 6899, 6894, 6895, 6848, 6849, 6850, 6851, 6847, 6846, 6742, 6743, 6741, 6740, 6738, 6739, 6790, 6791, 6786, 6787, 6788, 6789, 6862, 6863, 6859, 6858, 6860, 6861, 6750, 6751, 6754, 6755, 6753, 6752, 6856, 6857, 6855, 6854, 6852, 6853, 6812, 6813, 6811, 6810, 6815, 6814, 6833, 6832, 6829, 6828, 6831, 6830, 6845, 6844, 6843, 6842, 6841, 6840, 6881, 6880, 6876, 6877, 6878, 6879, 6762, 6763, 6764, 6765, 6766, 6767, 6836, 6837, 6839, 6838, 6834, 6835, 1779, 1778, 1777, 1776, 1781, 1780, 1903, 1902] +private def clayworthR_inv_c10 : Array (Fin 12096) := #[1905, 1904, 1907, 1906, 1897, 1896, 1901, 1900, 1899, 1898, 1879, 1878, 1883, 1882, 1881, 1880, 1910, 1911, 1912, 1913, 1908, 1909, 1867, 1866, 1871, 1870, 1868, 1869, 1790, 1791, 1793, 1792, 1788, 1789, 1825, 1824, 1826, 1827, 1829, 1828, 1728, 1729, 1730, 1731, 1732, 1733, 1807, 1806, 1810, 1811, 1808, 1809, 1918, 1919, 1917, 1916, 1914, 1915, 1852, 1853, 1849, 1848, 1851, 1850, 1746, 1747, 1749, 1748, 1751, 1750, 1805, 1804, 1803, 1802, 1801, 1800, 1815, 1814, 1817, 1816, 1812, 1813, 1784, 1785, 1786, 1787, 1782, 1783, 1736, 1737, 1738, 1739, 1734, 1735, 1767, 1766, 1765, 1764, 1768, 1769, 1752, 1753, 1756, 1757, 1755, 1754, 1822, 1823, 1818, 1819, 1821, 1820, 1888, 1889, 1886, 1887, 1885, 1884, 1859, 1858, 1856, 1857, 1855, 1854, 1742, 1743, 1745, 1744, 1740, 1741, 1860, 1861, 1864, 1865, 1862, 1863, 1774, 1775, 1770, 1771, 1772, 1773, 1762, 1763, 1759, 1758, 1761, 1760, 1833, 1832, 1831, 1830, 1835, 1834, 1872, 1873, 1874, 1875, 1877, 1876, 1794, 1795, 1797, 1796, 1798, 1799, 1844, 1845, 1846, 1847, 1843, 1842, 1840, 1841, 1837, 1836, 1839, 1838, 1890, 1891, 1893, 1892, 1895, 1894, 1540, 1541, 1536, 1537, 1538, 1539, 1607, 1606, 1602, 1603, 1605, 1604, 1543, 1542, 1546, 1547, 1544, 1545, 1677, 1676, 1675, 1674, 1679, 1678, 1718, 1719, 1721, 1720, 1717, 1716, 1610, 1611, 1612, 1613, 1608, 1609, 1618, 1619, 1614, 1615, 1616, 1617, 1642, 1643, 1639, 1638, 1641, 1640, 1726, 1727, 1725, 1724, 1722, 1723, 1706, 1707, 1708, 1709, 1704, 1705, 1701, 1700, 1702, 1703, 1699, 1698, 1661, 1660, 1656, 1657, 1658, 1659, 1669, 1668, 1673, 1672, 1671, 1670, 1563, 1562, 1561, 1560, 1564, 1565, 1629, 1628, 1630, 1631, 1626, 1627, 1552, 1553, 1548, 1549, 1550, 1551, 1586, 1587, 1584, 1585, 1589, 1588, 1577, 1576, 1574, 1575, 1572, 1573, 1571, 1570, 1567, 1566, 1568, 1569, 1648, 1649, 1645, 1644, 1646, 1647, 1685, 1684, 1682, 1683, 1680, 1681, 1557, 1556, 1554, 1555, 1558, 1559, 1595, 1594, 1593, 1592, 1590, 1591, 1582, 1583, 1578, 1579, 1580, 1581, 1666, 1667, 1662, 1663, 1664, 1665, 1712, 1713, 1714, 1715, 1711, 1710, 1636, 1637, 1633, 1632, 1635, 1634, 1695, 1694, 1697, 1696, 1693, 1692, 1654, 1655, 1653, 1652, 1651, 1650, 1623, 1622, 1620, 1621, 1624, 1625, 1597, 1596, 1600, 1601, 1598, 1599, 1688, 1689, 1690, 1691, 1686, 1687, 5170, 5171, 5167, 5166, 5169, 5168, 4993, 4992, 4996, 4997, 4995, 4994, 5062, 5063, 5060, 5061, 5058, 5059, 5160, 5161, 5164, 5165, 5162, 5163, 5178, 5179, 5181, 5180, 5182, 5183, 5126, 5127, 5125, 5124, 5129, 5128, 5051, 5050, 5049, 5048, 5046, 5047, 5122, 5123, 5120, 5121, 5119, 5118, 4998, 4999, 5000, 5001, 5003, 5002, 5054, 5055, 5053, 5052, 5056, 5057, 5071, 5070, 5075, 5074, 5072, 5073, 5159, 5158, 5155, 5154, 5157, 5156, 5107, 5106, 5109, 5108, 5110, 5111, 5146, 5147, 5142, 5143, 5144, 5145, 5101, 5100, 5103, 5102, 5104, 5105, 5023, 5022, 5027, 5026, 5025, 5024, 5017, 5016, 5018, 5019, 5020, 5021, 5115, 5114, 5116, 5117, 5112, 5113, 5005, 5004, 5009, 5008, 5007, 5006, 5034, 5035, 5038, 5039, 5036, 5037, 5033, 5032, 5029, 5028] +private def clayworthR_inv_c11 : Array (Fin 12096) := #[5030, 5031, 5081, 5080, 5076, 5077, 5079, 5078, 5141, 5140, 5139, 5138, 5137, 5136, 5015, 5014, 5013, 5012, 5011, 5010, 5175, 5174, 5176, 5177, 5173, 5172, 5064, 5065, 5066, 5067, 5068, 5069, 5150, 5151, 5153, 5152, 5149, 5148, 5084, 5085, 5082, 5083, 5087, 5086, 5135, 5134, 5131, 5130, 5133, 5132, 5041, 5040, 5045, 5044, 5043, 5042, 5099, 5098, 5094, 5095, 5096, 5097, 5092, 5093, 5089, 5088, 5091, 5090, 8068, 8069, 8067, 8066, 8064, 8065, 8110, 8111, 8107, 8106, 8109, 8108, 8071, 8070, 8075, 8074, 8072, 8073, 8216, 8217, 8215, 8214, 8218, 8219, 8199, 8198, 8197, 8196, 8201, 8200, 8123, 8122, 8119, 8118, 8120, 8121, 8204, 8205, 8202, 8203, 8207, 8206, 8086, 8087, 8082, 8083, 8085, 8084, 8127, 8126, 8125, 8124, 8128, 8129, 8244, 8245, 8246, 8247, 8248, 8249, 8242, 8243, 8241, 8240, 8238, 8239, 8177, 8176, 8173, 8172, 8174, 8175, 8208, 8209, 8211, 8210, 8213, 8212, 8170, 8171, 8168, 8169, 8166, 8167, 8139, 8138, 8136, 8137, 8140, 8141, 8112, 8113, 8114, 8115, 8116, 8117, 8104, 8105, 8102, 8103, 8100, 8101, 8099, 8098, 8096, 8097, 8094, 8095, 8227, 8226, 8231, 8230, 8228, 8229, 8255, 8254, 8252, 8253, 8251, 8250, 8180, 8181, 8183, 8182, 8179, 8178, 8092, 8093, 8091, 8090, 8088, 8089, 8186, 8187, 8184, 8185, 8189, 8188, 8191, 8190, 8195, 8194, 8192, 8193, 8144, 8145, 8142, 8143, 8146, 8147, 8236, 8237, 8232, 8233, 8234, 8235, 8152, 8153, 8149, 8148, 8150, 8151, 8134, 8135, 8130, 8131, 8132, 8133, 8162, 8163, 8164, 8165, 8160, 8161, 8155, 8154, 8157, 8156, 8158, 8159, 8223, 8222, 8221, 8220, 8225, 8224, 8076, 8077, 8079, 8078, 8081, 8080, 5573, 5572, 5569, 5568, 5570, 5571, 5610, 5611, 5615, 5614, 5612, 5613, 5737, 5736, 5739, 5738, 5740, 5741, 5579, 5578, 5575, 5574, 5577, 5576, 5639, 5638, 5635, 5634, 5636, 5637, 5730, 5731, 5734, 5735, 5732, 5733, 5753, 5752, 5749, 5748, 5750, 5751, 5694, 5695, 5697, 5696, 5699, 5698, 5691, 5690, 5689, 5688, 5693, 5692, 5711, 5710, 5709, 5708, 5707, 5706, 5643, 5642, 5645, 5644, 5640, 5641, 5652, 5653, 5656, 5657, 5654, 5655, 5759, 5758, 5757, 5756, 5754, 5755, 5666, 5667, 5664, 5665, 5668, 5669, 5593, 5592, 5596, 5597, 5595, 5594, 5620, 5621, 5616, 5617, 5619, 5618, 5582, 5583, 5585, 5584, 5580, 5581, 5601, 5600, 5603, 5602, 5598, 5599, 5629, 5628, 5632, 5633, 5631, 5630, 5718, 5719, 5722, 5723, 5721, 5720, 5588, 5589, 5586, 5587, 5590, 5591, 5677, 5676, 5680, 5681, 5679, 5678, 5606, 5607, 5605, 5604, 5608, 5609, 5625, 5624, 5627, 5626, 5622, 5623, 5683, 5682, 5684, 5685, 5687, 5686, 5745, 5744, 5747, 5746, 5743, 5742, 5724, 5725, 5728, 5729, 5726, 5727, 5661, 5660, 5659, 5658, 5662, 5663, 5675, 5674, 5672, 5673, 5671, 5670, 5705, 5704, 5700, 5701, 5702, 5703, 5650, 5651, 5648, 5649, 5646, 5647, 5712, 5713, 5714, 5715, 5716, 5717, 1298, 1299, 1296, 1297, 1301, 1300, 1217, 1216, 1215, 1214, 1212, 1213, 1285, 1284, 1289, 1288, 1286, 1287, 1205, 1204, 1201, 1200, 1203, 1202, 1307, 1306, 1305, 1304, 1303, 1302, 1154, 1155, 1152, 1153, 1157, 1156, 1228, 1229, 1225, 1224, 1226, 1227, 1342, 1343, 1340, 1341, 1339, 1338] +private def clayworthR_inv_c12 : Array (Fin 12096) := #[1259, 1258, 1255, 1254, 1257, 1256, 1310, 1311, 1308, 1309, 1312, 1313, 1176, 1177, 1178, 1179, 1180, 1181, 1219, 1218, 1223, 1222, 1221, 1220, 1169, 1168, 1164, 1165, 1167, 1166, 1192, 1193, 1189, 1188, 1191, 1190, 1187, 1186, 1183, 1182, 1184, 1185, 1234, 1235, 1230, 1231, 1233, 1232, 1292, 1293, 1294, 1295, 1290, 1291, 1206, 1207, 1209, 1208, 1211, 1210, 1321, 1320, 1323, 1322, 1325, 1324, 1264, 1265, 1261, 1260, 1262, 1263, 1171, 1170, 1174, 1175, 1173, 1172, 1273, 1272, 1275, 1274, 1276, 1277, 1280, 1281, 1282, 1283, 1279, 1278, 1267, 1266, 1271, 1270, 1269, 1268, 1337, 1336, 1333, 1332, 1334, 1335, 1328, 1329, 1331, 1330, 1327, 1326, 1251, 1250, 1249, 1248, 1252, 1253, 1195, 1194, 1198, 1199, 1196, 1197, 1247, 1246, 1243, 1242, 1245, 1244, 1241, 1240, 1236, 1237, 1239, 1238, 1315, 1314, 1317, 1316, 1318, 1319, 1162, 1163, 1158, 1159, 1161, 1160, 3460, 3461, 3458, 3459, 3456, 3457, 3512, 3513, 3510, 3511, 3514, 3515, 3637, 3636, 3639, 3638, 3640, 3641, 3594, 3595, 3598, 3599, 3596, 3597, 3520, 3521, 3516, 3517, 3518, 3519, 3463, 3462, 3465, 3464, 3466, 3467, 3524, 3525, 3527, 3526, 3523, 3522, 3542, 3543, 3544, 3545, 3540, 3541, 3626, 3627, 3629, 3628, 3625, 3624, 3575, 3574, 3570, 3571, 3573, 3572, 3566, 3567, 3569, 3568, 3565, 3564, 3480, 3481, 3484, 3485, 3482, 3483, 3588, 3589, 3590, 3591, 3592, 3593, 3548, 3549, 3547, 3546, 3550, 3551, 3478, 3479, 3474, 3475, 3476, 3477, 3490, 3491, 3489, 3488, 3487, 3486, 3605, 3604, 3603, 3602, 3600, 3601, 3529, 3528, 3532, 3533, 3531, 3530, 3618, 3619, 3621, 3620, 3623, 3622, 3635, 3634, 3630, 3631, 3633, 3632, 3610, 3611, 3608, 3609, 3606, 3607, 3502, 3503, 3498, 3499, 3501, 3500, 3582, 3583, 3584, 3585, 3586, 3587, 3492, 3493, 3496, 3497, 3494, 3495, 3581, 3580, 3579, 3578, 3576, 3577, 3644, 3645, 3647, 3646, 3642, 3643, 3552, 3553, 3555, 3554, 3556, 3557, 3539, 3538, 3537, 3536, 3534, 3535, 3505, 3504, 3509, 3508, 3506, 3507, 3558, 3559, 3561, 3560, 3562, 3563, 3613, 3612, 3614, 3615, 3616, 3617, 3473, 3472, 3469, 3468, 3470, 3471, 771, 770, 772, 773, 769, 768, 951, 950, 949, 948, 952, 953, 900, 901, 903, 902, 905, 904, 947, 946, 943, 942, 944, 945, 913, 912, 914, 915, 916, 917, 882, 883, 885, 884, 887, 886, 776, 777, 774, 775, 779, 778, 787, 786, 790, 791, 789, 788, 812, 813, 811, 810, 814, 815, 840, 841, 844, 845, 842, 843, 959, 958, 956, 957, 954, 955, 938, 939, 936, 937, 940, 941, 875, 874, 871, 870, 872, 873, 907, 906, 910, 911, 908, 909, 798, 799, 800, 801, 802, 803, 848, 849, 847, 846, 850, 851, 794, 795, 797, 796, 793, 792, 806, 807, 808, 809, 804, 805, 857, 856, 853, 852, 854, 855, 896, 897, 894, 895, 898, 899, 824, 825, 826, 827, 822, 823, 923, 922, 920, 921, 918, 919, 817, 816, 818, 819, 821, 820, 877, 876, 880, 881, 879, 878, 834, 835, 836, 837, 838, 839, 933, 932, 935, 934, 930, 931, 867, 866, 865, 864, 868, 869, 889, 888] +private def clayworthR_inv_c13 : Array (Fin 12096) := #[890, 891, 893, 892, 833, 832, 830, 831, 829, 828, 860, 861, 863, 862, 859, 858, 924, 925, 926, 927, 929, 928, 781, 780, 783, 782, 785, 784, 2565, 2564, 2562, 2563, 2566, 2567, 2677, 2676, 2678, 2679, 2680, 2681, 2631, 2630, 2632, 2633, 2629, 2628, 2498, 2499, 2497, 2496, 2500, 2501, 2665, 2664, 2669, 2668, 2666, 2667, 2642, 2643, 2640, 2641, 2644, 2645, 2621, 2620, 2619, 2618, 2617, 2616, 2572, 2573, 2569, 2568, 2570, 2571, 2639, 2638, 2635, 2634, 2636, 2637, 2502, 2503, 2506, 2507, 2505, 2504, 2514, 2515, 2517, 2516, 2519, 2518, 2583, 2582, 2581, 2580, 2584, 2585, 2589, 2588, 2586, 2587, 2590, 2591, 2687, 2686, 2685, 2684, 2683, 2682, 2660, 2661, 2659, 2658, 2663, 2662, 2599, 2598, 2600, 2601, 2602, 2603, 2541, 2540, 2539, 2538, 2542, 2543, 2532, 2533, 2536, 2537, 2535, 2534, 2521, 2520, 2525, 2524, 2522, 2523, 2550, 2551, 2555, 2554, 2553, 2552, 2547, 2546, 2549, 2548, 2545, 2544, 2597, 2596, 2593, 2592, 2595, 2594, 2625, 2624, 2627, 2626, 2623, 2622, 2656, 2657, 2654, 2655, 2652, 2653, 2674, 2675, 2671, 2670, 2672, 2673, 2648, 2649, 2647, 2646, 2651, 2650, 2609, 2608, 2606, 2607, 2605, 2604, 2529, 2528, 2527, 2526, 2531, 2530, 2612, 2613, 2610, 2611, 2614, 2615, 2578, 2579, 2575, 2574, 2576, 2577, 2556, 2557, 2558, 2559, 2561, 2560, 2513, 2512, 2508, 2509, 2510, 2511, 2163, 2162, 2161, 2160, 2165, 2164, 2287, 2286, 2289, 2288, 2291, 2290, 2200, 2201, 2198, 2199, 2197, 2196, 2250, 2251, 2255, 2254, 2252, 2253, 2183, 2182, 2179, 2178, 2181, 2180, 2169, 2168, 2170, 2171, 2167, 2166, 2231, 2230, 2229, 2228, 2226, 2227, 2113, 2112, 2114, 2115, 2116, 2117, 2122, 2123, 2118, 2119, 2121, 2120, 2187, 2186, 2184, 2185, 2189, 2188, 2301, 2300, 2302, 2303, 2299, 2298, 2279, 2278, 2275, 2274, 2277, 2276, 2270, 2271, 2273, 2272, 2268, 2269, 2248, 2249, 2245, 2244, 2247, 2246, 2138, 2139, 2136, 2137, 2141, 2140, 2130, 2131, 2135, 2134, 2132, 2133, 2204, 2205, 2206, 2207, 2202, 2203, 2222, 2223, 2224, 2225, 2220, 2221, 2173, 2172, 2175, 2174, 2176, 2177, 2153, 2152, 2151, 2150, 2148, 2149, 2147, 2146, 2144, 2145, 2142, 2143, 2242, 2243, 2241, 2240, 2238, 2239, 2194, 2195, 2190, 2191, 2192, 2193, 2284, 2285, 2281, 2280, 2283, 2282, 2260, 2261, 2258, 2259, 2256, 2257, 2127, 2126, 2124, 2125, 2128, 2129, 2211, 2210, 2209, 2208, 2213, 2212, 2159, 2158, 2154, 2155, 2157, 2156, 2217, 2216, 2215, 2214, 2219, 2218, 2295, 2294, 2297, 2296, 2292, 2293, 2233, 2232, 2234, 2235, 2237, 2236, 2263, 2262, 2267, 2266, 2264, 2265, 1975, 1974, 1979, 1978, 1977, 1976, 2095, 2094, 2097, 2096, 2098, 2099, 2054, 2055, 2052, 2053, 2057, 2056, 1922, 1923, 1921, 1920, 1925, 1924, 2083, 2082, 2087, 2086, 2084, 2085, 2111, 2110, 2107, 2106, 2108, 2109, 1982, 1983, 1980, 1981, 1984, 1985, 2063, 2062, 2060, 2061, 2059, 2058, 1937, 1936, 1932, 1933, 1935, 1934, 1998, 1999, 2002, 2003, 2000, 2001, 2081, 2080, 2078, 2079, 2077, 2076, 2027, 2026, 2022, 2023, 2025, 2024, 2010, 2011, 2014, 2015, 2013, 2012, 1949, 1948, 1947, 1946, 1944, 1945, 1993, 1992, 1996, 1997] +private def clayworthR_inv_c14 : Array (Fin 12096) := #[1995, 1994, 2044, 2045, 2043, 2042, 2040, 2041, 2005, 2004, 2009, 2008, 2006, 2007, 1939, 1938, 1943, 1942, 1940, 1941, 1965, 1964, 1963, 1962, 1967, 1966, 1951, 1950, 1954, 1955, 1952, 1953, 1991, 1990, 1988, 1989, 1986, 1987, 2092, 2093, 2088, 2089, 2090, 2091, 2031, 2030, 2029, 2028, 2032, 2033, 2037, 2036, 2035, 2034, 2039, 2038, 1956, 1957, 1960, 1961, 1959, 1958, 2104, 2105, 2101, 2100, 2102, 2103, 2072, 2073, 2074, 2075, 2070, 2071, 2020, 2021, 2016, 2017, 2018, 2019, 2051, 2050, 2047, 2046, 2049, 2048, 1969, 1968, 1973, 1972, 1970, 1971, 2066, 2067, 2065, 2064, 2069, 2068, 1927, 1926, 1931, 1930, 1928, 1929, 5763, 5762, 5765, 5764, 5761, 5760, 5898, 5899, 5900, 5901, 5902, 5903, 5769, 5768, 5767, 5766, 5771, 5770, 5942, 5943, 5940, 5941, 5944, 5945, 5948, 5949, 5950, 5951, 5947, 5946, 5880, 5881, 5884, 5885, 5882, 5883, 5831, 5830, 5829, 5828, 5827, 5826, 5824, 5825, 5823, 5822, 5821, 5820, 5909, 5908, 5904, 5905, 5907, 5906, 5772, 5773, 5774, 5775, 5777, 5776, 5788, 5789, 5784, 5785, 5787, 5786, 5835, 5834, 5837, 5836, 5833, 5832, 5935, 5934, 5936, 5937, 5938, 5939, 5931, 5930, 5932, 5933, 5928, 5929, 5804, 5805, 5802, 5803, 5807, 5806, 5796, 5797, 5800, 5801, 5799, 5798, 5848, 5849, 5847, 5846, 5845, 5844, 5795, 5794, 5792, 5793, 5790, 5791, 5783, 5782, 5779, 5778, 5780, 5781, 5809, 5808, 5811, 5810, 5813, 5812, 5895, 5894, 5897, 5896, 5892, 5893, 5921, 5920, 5919, 5918, 5917, 5916, 5913, 5912, 5914, 5915, 5910, 5911, 5874, 5875, 5876, 5877, 5879, 5878, 5819, 5818, 5816, 5817, 5815, 5814, 5869, 5868, 5870, 5871, 5873, 5872, 5924, 5925, 5927, 5926, 5922, 5923, 5854, 5855, 5852, 5853, 5850, 5851, 5864, 5865, 5867, 5866, 5862, 5863, 5890, 5891, 5886, 5887, 5889, 5888, 5840, 5841, 5839, 5838, 5843, 5842, 5860, 5861, 5856, 5857, 5859, 5858, 9023, 9022, 9019, 9018, 9021, 9020, 8896, 8897, 8894, 8895, 8892, 8893, 9013, 9012, 9014, 9015, 9017, 9016, 8982, 8983, 8985, 8984, 8987, 8986, 8963, 8962, 8960, 8961, 8958, 8959, 8872, 8873, 8871, 8870, 8869, 8868, 8957, 8956, 8955, 8954, 8952, 8953, 8975, 8974, 8971, 8970, 8973, 8972, 9009, 9008, 9007, 9006, 9010, 9011, 9003, 9002, 9004, 9005, 9001, 9000, 8928, 8929, 8930, 8931, 8932, 8933, 8981, 8980, 8976, 8977, 8979, 8978, 8922, 8923, 8924, 8925, 8926, 8927, 8901, 8900, 8903, 8902, 8899, 8898, 8838, 8839, 8842, 8843, 8840, 8841, 8877, 8876, 8875, 8874, 8878, 8879, 8836, 8837, 8834, 8835, 8832, 8833, 8861, 8860, 8857, 8856, 8859, 8858, 8845, 8844, 8848, 8849, 8846, 8847, 8915, 8914, 8911, 8910, 8912, 8913, 8886, 8887, 8891, 8890, 8889, 8888, 8995, 8994, 8997, 8996, 8999, 8998, 8990, 8991, 8992, 8993, 8988, 8989, 8940, 8941, 8943, 8942, 8944, 8945, 8881, 8880, 8883, 8882, 8885, 8884, 8951, 8950, 8946, 8947, 8949, 8948, 8851, 8850, 8855, 8854, 8853, 8852, 8935, 8934, 8937, 8936, 8938, 8939, 8904, 8905, 8906, 8907, 8909, 8908, 8917, 8916, 8918, 8919, 8920, 8921, 8965, 8964, 8967, 8966, 8969, 8968, 8863, 8862, 8867, 8866, 8865, 8864, 4271, 4270, 4267, 4266, 4269, 4268, 4365, 4364, 4362, 4363, 4366, 4367] +private def clayworthR_inv_c15 : Array (Fin 12096) := #[4297, 4296, 4301, 4300, 4298, 4299, 4393, 4392, 4394, 4395, 4397, 4396, 4375, 4374, 4377, 4376, 4379, 4378, 4415, 4414, 4411, 4410, 4412, 4413, 4274, 4275, 4277, 4276, 4273, 4272, 4373, 4372, 4370, 4371, 4368, 4369, 4225, 4224, 4227, 4226, 4229, 4228, 4287, 4286, 4289, 4288, 4284, 4285, 4388, 4389, 4390, 4391, 4386, 4387, 4336, 4337, 4332, 4333, 4334, 4335, 4320, 4321, 4324, 4325, 4323, 4322, 4313, 4312, 4311, 4310, 4308, 4309, 4237, 4236, 4240, 4241, 4239, 4238, 4279, 4278, 4280, 4281, 4283, 4282, 4234, 4235, 4232, 4233, 4230, 4231, 4254, 4255, 4258, 4259, 4256, 4257, 4250, 4251, 4252, 4253, 4249, 4248, 4359, 4358, 4356, 4357, 4361, 4360, 4402, 4403, 4399, 4398, 4401, 4400, 4343, 4342, 4341, 4340, 4338, 4339, 4243, 4242, 4247, 4246, 4245, 4244, 4265, 4264, 4261, 4260, 4262, 4263, 4290, 4291, 4293, 4292, 4294, 4295, 4345, 4344, 4349, 4348, 4346, 4347, 4408, 4409, 4405, 4404, 4406, 4407, 4306, 4307, 4302, 4303, 4304, 4305, 4331, 4330, 4326, 4327, 4328, 4329, 4351, 4350, 4353, 4352, 4354, 4355, 4319, 4318, 4315, 4314, 4317, 4316, 4381, 4380, 4383, 4382, 4384, 4385, 10180, 10181, 10176, 10177, 10178, 10179, 10217, 10216, 10212, 10213, 10215, 10214, 10241, 10240, 10239, 10238, 10237, 10236, 10356, 10357, 10361, 10360, 10359, 10358, 10321, 10320, 10325, 10324, 10322, 10323, 10235, 10234, 10232, 10233, 10231, 10230, 10273, 10272, 10275, 10274, 10277, 10276, 10223, 10222, 10218, 10219, 10220, 10221, 10318, 10319, 10314, 10315, 10316, 10317, 10337, 10336, 10332, 10333, 10335, 10334, 10244, 10245, 10246, 10247, 10242, 10243, 10259, 10258, 10255, 10254, 10257, 10256, 10350, 10351, 10353, 10352, 10355, 10354, 10290, 10291, 10292, 10293, 10295, 10294, 10309, 10308, 10310, 10311, 10313, 10312, 10262, 10263, 10260, 10261, 10265, 10264, 10193, 10192, 10191, 10190, 10189, 10188, 10228, 10229, 10225, 10224, 10227, 10226, 10204, 10205, 10200, 10201, 10202, 10203, 10271, 10270, 10267, 10266, 10269, 10268, 10331, 10330, 10327, 10326, 10329, 10328, 10367, 10366, 10364, 10365, 10362, 10363, 10341, 10340, 10338, 10339, 10342, 10343, 10194, 10195, 10197, 10196, 10198, 10199, 10298, 10299, 10296, 10297, 10300, 10301, 10208, 10209, 10211, 10210, 10206, 10207, 10306, 10307, 10305, 10304, 10302, 10303, 10251, 10250, 10248, 10249, 10253, 10252, 10344, 10345, 10349, 10348, 10346, 10347, 10288, 10289, 10284, 10285, 10286, 10287, 10278, 10279, 10280, 10281, 10282, 10283, 10187, 10186, 10183, 10182, 10185, 10184, 11321, 11320, 11317, 11316, 11319, 11318, 11270, 11271, 11269, 11268, 11272, 11273, 11139, 11138, 11136, 11137, 11140, 11141, 11219, 11218, 11216, 11217, 11214, 11215, 11310, 11311, 11314, 11315, 11312, 11313, 11289, 11288, 11286, 11287, 11291, 11290, 11200, 11201, 11198, 11199, 11196, 11197, 11239, 11238, 11243, 11242, 11241, 11240, 11189, 11188, 11185, 11184, 11186, 11187, 11279, 11278, 11274, 11275, 11277, 11276, 11143, 11142, 11145, 11144, 11146, 11147, 11204, 11205, 11202, 11203, 11206, 11207, 11236, 11237, 11232, 11233, 11235, 11234, 11280, 11281, 11283, 11282, 11285, 11284, 11265, 11264, 11267, 11266, 11262, 11263, 11191, 11190, 11193, 11192, 11194, 11195, 11177, 11176, 11172, 11173, 11174, 11175, 11160, 11161, 11165, 11164, 11163, 11162, 11158, 11159, 11154, 11155, 11156, 11157, 11209, 11208, 11212, 11213, 11211, 11210, 11298, 11299, 11301, 11300, 11302, 11303, 11294, 11295] +private def clayworthR_inv_c16 : Array (Fin 12096) := #[11293, 11292, 11297, 11296, 11259, 11258, 11261, 11260, 11257, 11256, 11183, 11182, 11179, 11178, 11181, 11180, 11167, 11166, 11170, 11171, 11169, 11168, 11327, 11326, 11322, 11323, 11325, 11324, 11226, 11227, 11229, 11228, 11231, 11230, 11304, 11305, 11306, 11307, 11309, 11308, 11244, 11245, 11248, 11249, 11247, 11246, 11255, 11254, 11251, 11250, 11253, 11252, 11220, 11221, 11222, 11223, 11225, 11224, 11153, 11152, 11148, 11149, 11151, 11150, 9797, 9796, 9792, 9793, 9794, 9795, 9856, 9857, 9853, 9852, 9854, 9855, 9948, 9949, 9951, 9950, 9953, 9952, 9880, 9881, 9879, 9878, 9877, 9876, 9955, 9954, 9958, 9959, 9956, 9957, 9868, 9869, 9866, 9867, 9864, 9865, 9900, 9901, 9902, 9903, 9904, 9905, 9809, 9808, 9805, 9804, 9806, 9807, 9872, 9873, 9875, 9874, 9871, 9870, 9892, 9893, 9889, 9888, 9890, 9891, 9982, 9983, 9980, 9981, 9979, 9978, 9914, 9915, 9916, 9917, 9912, 9913, 9825, 9824, 9822, 9823, 9826, 9827, 9816, 9817, 9821, 9820, 9818, 9819, 9860, 9861, 9858, 9859, 9862, 9863, 9802, 9803, 9801, 9800, 9798, 9799, 9845, 9844, 9843, 9842, 9840, 9841, 9832, 9833, 9830, 9831, 9828, 9829, 9898, 9899, 9895, 9894, 9896, 9897, 9942, 9943, 9946, 9947, 9944, 9945, 9960, 9961, 9964, 9965, 9963, 9962, 9977, 9976, 9974, 9975, 9973, 9972, 9812, 9813, 9814, 9815, 9811, 9810, 9935, 9934, 9930, 9931, 9932, 9933, 9836, 9837, 9838, 9839, 9834, 9835, 9929, 9928, 9926, 9927, 9924, 9925, 9885, 9884, 9883, 9882, 9887, 9886, 9969, 9968, 9966, 9967, 9971, 9970, 9910, 9911, 9906, 9907, 9908, 9909, 9923, 9922, 9919, 9918, 9921, 9920, 9937, 9936, 9939, 9938, 9940, 9941, 9847, 9846, 9851, 9850, 9849, 9848, 7442, 7443, 7445, 7444, 7441, 7440, 7360, 7361, 7358, 7359, 7357, 7356, 7458, 7459, 7462, 7463, 7460, 7461, 7381, 7380, 7383, 7382, 7384, 7385, 7448, 7449, 7447, 7446, 7451, 7450, 7298, 7299, 7296, 7297, 7300, 7301, 7306, 7307, 7303, 7302, 7304, 7305, 7365, 7364, 7362, 7363, 7367, 7366, 7376, 7377, 7374, 7375, 7379, 7378, 7478, 7479, 7477, 7476, 7480, 7481, 7415, 7414, 7410, 7411, 7413, 7412, 7454, 7455, 7452, 7453, 7457, 7456, 7404, 7405, 7406, 7407, 7409, 7408, 7323, 7322, 7320, 7321, 7325, 7324, 7431, 7430, 7433, 7432, 7428, 7429, 7309, 7308, 7312, 7313, 7310, 7311, 7337, 7336, 7333, 7332, 7334, 7335, 7355, 7354, 7350, 7351, 7353, 7352, 7487, 7486, 7485, 7484, 7483, 7482, 7318, 7319, 7315, 7314, 7316, 7317, 7425, 7424, 7427, 7426, 7422, 7423, 7340, 7341, 7342, 7343, 7339, 7338, 7347, 7346, 7345, 7344, 7348, 7349, 7328, 7329, 7326, 7327, 7330, 7331, 7417, 7416, 7421, 7420, 7419, 7418, 7471, 7470, 7472, 7473, 7474, 7475, 7391, 7390, 7386, 7387, 7389, 7388, 7435, 7434, 7436, 7437, 7439, 7438, 7369, 7368, 7371, 7370, 7372, 7373, 7402, 7403, 7398, 7399, 7400, 7401, 7396, 7397, 7393, 7392, 7394, 7395, 7464, 7465, 7466, 7467, 7468, 7469, 1390, 1391, 1387, 1386, 1388, 1389, 1490, 1491, 1492, 1493, 1488, 1489, 1345, 1344, 1349, 1348, 1346, 1347, 1409, 1408, 1406, 1407, 1405, 1404, 1524, 1525, 1528, 1529, 1526, 1527, 1497, 1496, 1495, 1494, 1499, 1498, 1485, 1484, 1482, 1483, 1486, 1487, 1479, 1478, 1477, 1476, 1480, 1481, 1410, 1411, 1415, 1414] +private def clayworthR_inv_c17 : Array (Fin 12096) := #[1413, 1412, 1392, 1393, 1395, 1394, 1396, 1397, 1533, 1532, 1534, 1535, 1530, 1531, 1446, 1447, 1449, 1448, 1450, 1451, 1364, 1365, 1362, 1363, 1367, 1366, 1356, 1357, 1359, 1358, 1360, 1361, 1421, 1420, 1419, 1418, 1417, 1416, 1474, 1475, 1471, 1470, 1472, 1473, 1430, 1431, 1432, 1433, 1428, 1429, 1351, 1350, 1355, 1354, 1352, 1353, 1379, 1378, 1377, 1376, 1375, 1374, 1369, 1368, 1372, 1373, 1370, 1371, 1399, 1398, 1401, 1400, 1403, 1402, 1512, 1513, 1517, 1516, 1514, 1515, 1504, 1505, 1503, 1502, 1500, 1501, 1456, 1457, 1455, 1454, 1452, 1453, 1382, 1383, 1384, 1385, 1380, 1381, 1468, 1469, 1466, 1467, 1465, 1464, 1459, 1458, 1462, 1463, 1461, 1460, 1424, 1425, 1423, 1422, 1427, 1426, 1518, 1519, 1523, 1522, 1520, 1521, 1444, 1445, 1440, 1441, 1442, 1443, 1439, 1438, 1434, 1435, 1436, 1437, 1510, 1511, 1507, 1506, 1508, 1509, 7685, 7684, 7683, 7682, 7681, 7680, 7691, 7690, 7686, 7687, 7689, 7688, 7762, 7763, 7759, 7758, 7761, 7760, 7823, 7822, 7821, 7820, 7818, 7819, 7749, 7748, 7747, 7746, 7751, 7750, 7776, 7777, 7778, 7779, 7781, 7780, 7745, 7744, 7742, 7743, 7741, 7740, 7841, 7840, 7839, 7838, 7836, 7837, 7696, 7697, 7692, 7693, 7695, 7694, 7871, 7870, 7869, 7868, 7866, 7867, 7856, 7857, 7859, 7858, 7854, 7855, 7798, 7799, 7794, 7795, 7797, 7796, 7706, 7707, 7708, 7709, 7704, 7705, 7814, 7815, 7816, 7817, 7813, 7812, 7769, 7768, 7766, 7767, 7765, 7764, 7703, 7702, 7701, 7700, 7698, 7699, 7732, 7733, 7728, 7729, 7730, 7731, 7721, 7720, 7719, 7718, 7717, 7716, 7714, 7715, 7713, 7712, 7711, 7710, 7775, 7774, 7770, 7771, 7772, 7773, 7835, 7834, 7830, 7831, 7832, 7833, 7852, 7853, 7850, 7851, 7848, 7849, 7805, 7804, 7802, 7803, 7801, 7800, 7737, 7736, 7738, 7739, 7734, 7735, 7755, 7754, 7756, 7757, 7752, 7753, 7809, 7808, 7806, 7807, 7811, 7810, 7726, 7727, 7722, 7723, 7724, 7725, 7863, 7862, 7864, 7865, 7860, 7861, 7787, 7786, 7782, 7783, 7785, 7784, 7829, 7828, 7825, 7824, 7826, 7827, 7792, 7793, 7788, 7789, 7790, 7791, 7845, 7844, 7843, 7842, 7847, 7846, 2690, 2691, 2688, 2689, 2692, 2693, 2863, 2862, 2866, 2867, 2864, 2865, 2778, 2779, 2780, 2781, 2783, 2782, 2733, 2732, 2734, 2735, 2731, 2730, 2830, 2831, 2827, 2826, 2828, 2829, 2695, 2694, 2697, 2696, 2698, 2699, 2756, 2757, 2758, 2759, 2755, 2754, 2744, 2745, 2746, 2747, 2742, 2743, 2858, 2859, 2861, 2860, 2856, 2857, 2853, 2852, 2854, 2855, 2850, 2851, 2797, 2796, 2799, 2798, 2800, 2801, 2714, 2715, 2716, 2717, 2712, 2713, 2707, 2706, 2711, 2710, 2708, 2709, 2769, 2768, 2770, 2771, 2766, 2767, 2738, 2739, 2740, 2741, 2737, 2736, 2718, 2719, 2723, 2722, 2721, 2720, 2776, 2777, 2773, 2772, 2775, 2774, 2749, 2748, 2753, 2752, 2750, 2751, 2838, 2839, 2842, 2843, 2841, 2840, 2873, 2872, 2869, 2868, 2871, 2870, 2806, 2807, 2804, 2805, 2803, 2802, 2700, 2701, 2702, 2703, 2704, 2705, 2817, 2816, 2818, 2819, 2814, 2815, 2820, 2821, 2823, 2822, 2824, 2825, 2726, 2727, 2724, 2725, 2728, 2729, 2809, 2808, 2810, 2811, 2813, 2812, 2876, 2877, 2878, 2879, 2874, 2875, 2845, 2844, 2847, 2846, 2849, 2848] +private def clayworthR_inv_c18 : Array (Fin 12096) := #[2795, 2794, 2792, 2793, 2790, 2791, 2836, 2837, 2833, 2832, 2835, 2834, 2760, 2761, 2764, 2765, 2763, 2762, 2787, 2786, 2788, 2789, 2785, 2784, 4036, 4037, 4032, 4033, 4035, 4034, 4079, 4078, 4074, 4075, 4077, 4076, 4182, 4183, 4186, 4187, 4184, 4185, 4043, 4042, 4038, 4039, 4041, 4040, 4103, 4102, 4099, 4098, 4101, 4100, 4210, 4211, 4207, 4206, 4209, 4208, 4188, 4189, 4190, 4191, 4192, 4193, 4090, 4091, 4086, 4087, 4089, 4088, 4082, 4083, 4084, 4085, 4080, 4081, 4171, 4170, 4174, 4175, 4173, 4172, 4044, 4045, 4048, 4049, 4047, 4046, 4060, 4061, 4056, 4057, 4058, 4059, 4107, 4106, 4105, 4104, 4109, 4108, 4125, 4124, 4122, 4123, 4126, 4127, 4223, 4222, 4221, 4220, 4218, 4219, 4204, 4205, 4201, 4200, 4202, 4203, 4197, 4196, 4198, 4199, 4194, 4195, 4152, 4153, 4154, 4155, 4156, 4157, 4148, 4149, 4146, 4147, 4150, 4151, 4133, 4132, 4130, 4131, 4129, 4128, 4054, 4055, 4053, 4052, 4051, 4050, 4067, 4066, 4062, 4063, 4064, 4065, 4179, 4178, 4177, 4176, 4181, 4180, 4094, 4095, 4097, 4096, 4092, 4093, 4161, 4160, 4163, 4162, 4158, 4159, 4164, 4165, 4168, 4169, 4167, 4166, 4217, 4216, 4213, 4212, 4214, 4215, 4120, 4121, 4116, 4117, 4118, 4119, 4139, 4138, 4135, 4134, 4137, 4136, 4112, 4113, 4110, 4111, 4115, 4114, 4072, 4073, 4068, 4069, 4070, 4071, 4145, 4144, 4141, 4140, 4143, 4142, 8052, 8053, 8056, 8057, 8054, 8055, 7946, 7947, 7944, 7945, 7949, 7948, 8007, 8006, 8004, 8005, 8009, 8008, 7874, 7875, 7873, 7872, 7877, 7876, 7895, 7894, 7890, 7891, 7892, 7893, 7952, 7953, 7954, 7955, 7951, 7950, 8060, 8061, 8063, 8062, 8059, 8058, 8051, 8050, 8049, 8048, 8047, 8046, 8019, 8018, 8016, 8017, 8020, 8021, 7975, 7974, 7976, 7977, 7978, 7979, 8001, 8000, 8003, 8002, 7998, 7999, 7959, 7958, 7957, 7956, 7960, 7961, 7897, 7896, 7900, 7901, 7898, 7899, 7938, 7939, 7942, 7943, 7940, 7941, 7889, 7888, 7884, 7885, 7887, 7886, 7915, 7914, 7919, 7918, 7917, 7916, 7913, 7912, 7911, 7910, 7909, 7908, 8015, 8014, 8012, 8013, 8011, 8010, 8035, 8034, 8036, 8037, 8038, 8039, 8027, 8026, 8024, 8025, 8022, 8023, 7905, 7904, 7902, 7903, 7906, 7907, 7993, 7992, 7994, 7995, 7997, 7996, 7929, 7928, 7930, 7931, 7926, 7927, 7923, 7922, 7925, 7924, 7920, 7921, 7986, 7987, 7988, 7989, 7990, 7991, 8040, 8041, 8042, 8043, 8045, 8044, 7967, 7966, 7963, 7962, 7965, 7964, 7984, 7985, 7983, 7982, 7980, 7981, 7932, 7933, 7937, 7936, 7934, 7935, 7970, 7971, 7973, 7972, 7968, 7969, 8029, 8028, 8033, 8032, 8030, 8031, 7879, 7878, 7881, 7880, 7883, 7882, 2305, 2304, 2306, 2307, 2309, 2308, 2489, 2488, 2484, 2485, 2486, 2487, 2450, 2451, 2452, 2453, 2449, 2448, 2312, 2313, 2310, 2311, 2314, 2315, 2476, 2477, 2475, 2474, 2472, 2473, 2492, 2493, 2495, 2494, 2491, 2490, 2382, 2383, 2384, 2385, 2387, 2386, 2360, 2361, 2362, 2363, 2358, 2359, 2375, 2374, 2371, 2370, 2372, 2373, 2411, 2410, 2407, 2406, 2409, 2408, 2455, 2454, 2458, 2459, 2457, 2456, 2402, 2403, 2405, 2404, 2400, 2401, 2331, 2330, 2329, 2328, 2332, 2333, 2322, 2323, 2324, 2325, 2326, 2327, 2364, 2365, 2368, 2369, 2366, 2367, 2343, 2342] +private def clayworthR_inv_c19 : Array (Fin 12096) := #[2340, 2341, 2344, 2345, 2338, 2339, 2335, 2334, 2336, 2337, 2443, 2442, 2447, 2446, 2445, 2444, 2482, 2483, 2479, 2478, 2481, 2480, 2464, 2465, 2462, 2463, 2460, 2461, 2414, 2415, 2412, 2413, 2416, 2417, 2426, 2427, 2428, 2429, 2424, 2425, 2350, 2351, 2346, 2347, 2348, 2349, 2435, 2434, 2430, 2431, 2433, 2432, 2419, 2418, 2421, 2420, 2423, 2422, 2376, 2377, 2378, 2379, 2380, 2381, 2389, 2388, 2390, 2391, 2392, 2393, 2441, 2440, 2437, 2436, 2438, 2439, 2353, 2352, 2355, 2354, 2356, 2357, 2396, 2397, 2399, 2398, 2395, 2394, 2469, 2468, 2471, 2470, 2466, 2467, 2320, 2321, 2317, 2316, 2319, 2318, 7634, 7635, 7632, 7633, 7636, 7637, 7489, 7488, 7493, 7492, 7490, 7491, 7554, 7555, 7558, 7559, 7556, 7557, 7639, 7638, 7641, 7640, 7643, 7642, 7678, 7679, 7674, 7675, 7677, 7676, 7621, 7620, 7623, 7622, 7624, 7625, 7572, 7573, 7575, 7574, 7576, 7577, 7619, 7618, 7614, 7615, 7617, 7616, 7504, 7505, 7503, 7502, 7501, 7500, 7664, 7665, 7667, 7666, 7662, 7663, 7658, 7659, 7656, 7657, 7661, 7660, 7590, 7591, 7593, 7592, 7594, 7595, 7518, 7519, 7522, 7523, 7520, 7521, 7507, 7506, 7511, 7510, 7509, 7508, 7544, 7545, 7543, 7542, 7547, 7546, 7570, 7571, 7567, 7566, 7569, 7568, 7627, 7626, 7630, 7631, 7629, 7628, 7553, 7552, 7548, 7549, 7551, 7550, 7649, 7648, 7646, 7647, 7644, 7645, 7607, 7606, 7603, 7602, 7605, 7604, 7517, 7516, 7513, 7512, 7514, 7515, 7535, 7534, 7532, 7533, 7531, 7530, 7608, 7609, 7610, 7611, 7612, 7613, 7525, 7524, 7529, 7528, 7527, 7526, 7672, 7673, 7668, 7669, 7670, 7671, 7582, 7583, 7579, 7578, 7581, 7580, 7598, 7599, 7601, 7600, 7596, 7597, 7561, 7560, 7565, 7564, 7563, 7562, 7537, 7536, 7538, 7539, 7541, 7540, 7588, 7589, 7585, 7584, 7586, 7587, 7655, 7654, 7651, 7650, 7653, 7652, 7494, 7495, 7496, 7497, 7498, 7499, 11525, 11524, 11523, 11522, 11520, 11521, 11531, 11530, 11526, 11527, 11529, 11528, 11621, 11620, 11616, 11617, 11619, 11618, 11682, 11683, 11684, 11685, 11686, 11687, 11704, 11705, 11700, 11701, 11702, 11703, 11676, 11677, 11680, 11681, 11678, 11679, 11645, 11644, 11641, 11640, 11642, 11643, 11590, 11591, 11587, 11586, 11589, 11588, 11672, 11673, 11670, 11671, 11674, 11675, 11533, 11532, 11534, 11535, 11537, 11536, 11548, 11549, 11546, 11547, 11544, 11545, 11600, 11601, 11603, 11602, 11598, 11599, 11632, 11633, 11628, 11629, 11630, 11631, 11711, 11710, 11709, 11708, 11707, 11706, 11653, 11652, 11655, 11654, 11656, 11657, 11560, 11561, 11558, 11559, 11557, 11556, 11623, 11622, 11626, 11627, 11625, 11624, 11635, 11634, 11639, 11638, 11637, 11636, 11554, 11555, 11551, 11550, 11553, 11552, 11592, 11593, 11594, 11595, 11597, 11596, 11573, 11572, 11570, 11571, 11569, 11568, 11567, 11566, 11564, 11565, 11562, 11563, 11615, 11614, 11610, 11611, 11612, 11613, 11698, 11699, 11695, 11694, 11697, 11696, 11666, 11667, 11669, 11668, 11664, 11665, 11578, 11579, 11574, 11575, 11576, 11577, 11607, 11606, 11609, 11608, 11604, 11605, 11658, 11659, 11662, 11663, 11660, 11661, 11690, 11691, 11693, 11692, 11688, 11689, 11650, 11651, 11646, 11647, 11649, 11648, 11580, 11581, 11585, 11584, 11583, 11582, 11543, 11542, 11541, 11540, 11538, 11539, 5185, 5184, 5186, 5187, 5189, 5188, 5190, 5191, 5194, 5195, 5193, 5192, 5252, 5253, 5251, 5250] +private def clayworthR_inv_c20 : Array (Fin 12096) := #[5254, 5255, 5363, 5362, 5359, 5358, 5361, 5360, 5328, 5329, 5330, 5331, 5332, 5333, 5371, 5370, 5373, 5372, 5374, 5375, 5310, 5311, 5314, 5315, 5313, 5312, 5231, 5230, 5228, 5229, 5226, 5227, 5275, 5274, 5277, 5276, 5279, 5278, 5222, 5223, 5225, 5224, 5221, 5220, 5260, 5261, 5256, 5257, 5259, 5258, 5235, 5234, 5232, 5233, 5236, 5237, 5273, 5272, 5269, 5268, 5271, 5270, 5355, 5354, 5356, 5357, 5352, 5353, 5302, 5303, 5299, 5298, 5301, 5300, 5323, 5322, 5324, 5325, 5327, 5326, 5291, 5290, 5289, 5288, 5286, 5287, 5208, 5209, 5211, 5210, 5213, 5212, 5266, 5267, 5264, 5265, 5262, 5263, 5306, 5307, 5308, 5309, 5304, 5305, 5200, 5201, 5198, 5199, 5196, 5197, 5321, 5320, 5316, 5317, 5318, 5319, 5244, 5245, 5248, 5249, 5246, 5247, 5347, 5346, 5349, 5348, 5350, 5351, 5369, 5368, 5366, 5367, 5365, 5364, 5339, 5338, 5337, 5336, 5335, 5334, 5207, 5206, 5203, 5202, 5204, 5205, 5238, 5239, 5240, 5241, 5242, 5243, 5218, 5219, 5216, 5217, 5214, 5215, 5296, 5297, 5293, 5292, 5294, 5295, 5285, 5284, 5281, 5280, 5283, 5282, 5343, 5342, 5345, 5344, 5340, 5341, 10370, 10371, 10372, 10373, 10368, 10369, 10507, 10506, 10511, 10510, 10508, 10509, 10543, 10542, 10546, 10547, 10545, 10544, 10524, 10525, 10529, 10528, 10526, 10527, 10499, 10498, 10494, 10495, 10496, 10497, 10516, 10517, 10512, 10513, 10515, 10514, 10385, 10384, 10380, 10381, 10383, 10382, 10428, 10429, 10432, 10433, 10431, 10430, 10425, 10424, 10423, 10422, 10426, 10427, 10446, 10447, 10450, 10451, 10449, 10448, 10471, 10470, 10472, 10473, 10474, 10475, 10519, 10518, 10521, 10520, 10523, 10522, 10403, 10402, 10401, 10400, 10399, 10398, 10443, 10442, 10444, 10445, 10441, 10440, 10490, 10491, 10492, 10493, 10488, 10489, 10454, 10455, 10456, 10457, 10452, 10453, 10390, 10391, 10387, 10386, 10389, 10388, 10379, 10378, 10376, 10377, 10375, 10374, 10408, 10409, 10404, 10405, 10406, 10407, 10462, 10463, 10459, 10458, 10460, 10461, 10536, 10537, 10539, 10538, 10540, 10541, 10551, 10550, 10552, 10553, 10548, 10549, 10533, 10532, 10534, 10535, 10531, 10530, 10478, 10479, 10481, 10480, 10476, 10477, 10394, 10395, 10393, 10392, 10396, 10397, 10413, 10412, 10415, 10414, 10411, 10410, 10482, 10483, 10484, 10485, 10487, 10486, 10558, 10559, 10555, 10554, 10556, 10557, 10469, 10468, 10465, 10464, 10466, 10467, 10501, 10500, 10503, 10502, 10505, 10504, 10439, 10438, 10435, 10434, 10437, 10436, 10416, 10417, 10421, 10420, 10419, 10418, 6149, 6148, 6145, 6144, 6146, 6147, 6155, 6154, 6151, 6150, 6153, 6152, 6202, 6203, 6199, 6198, 6200, 6201, 6309, 6308, 6307, 6306, 6310, 6311, 6290, 6291, 6289, 6288, 6293, 6292, 6325, 6324, 6327, 6326, 6329, 6328, 6189, 6188, 6190, 6191, 6187, 6186, 6281, 6280, 6276, 6277, 6279, 6278, 6157, 6156, 6159, 6158, 6160, 6161, 6335, 6334, 6332, 6333, 6331, 6330, 6284, 6285, 6282, 6283, 6286, 6287, 6237, 6236, 6239, 6238, 6235, 6234, 6163, 6162, 6167, 6166, 6165, 6164, 6215, 6214, 6212, 6213, 6210, 6211, 6268, 6269, 6267, 6266, 6264, 6265, 6220, 6221, 6219, 6218, 6217, 6216, 6182, 6183, 6181, 6180, 6184, 6185, 6226, 6227, 6222, 6223, 6224, 6225, 6274, 6275, 6272, 6273, 6271, 6270, 6316, 6317, 6314, 6315, 6313, 6312, 6296, 6297, 6298, 6299, 6294, 6295, 6243, 6242, 6245, 6244, 6240, 6241] +private def clayworthR_inv_c21 : Array (Fin 12096) := #[6255, 6254, 6257, 6256, 6252, 6253, 6197, 6196, 6193, 6192, 6195, 6194, 6259, 6258, 6261, 6260, 6263, 6262, 6170, 6171, 6172, 6173, 6169, 6168, 6246, 6247, 6249, 6248, 6251, 6250, 6321, 6320, 6322, 6323, 6318, 6319, 6301, 6300, 6302, 6303, 6305, 6304, 6208, 6209, 6204, 6205, 6206, 6207, 6175, 6174, 6176, 6177, 6178, 6179, 6231, 6230, 6228, 6229, 6232, 6233, 6965, 6964, 6961, 6960, 6963, 6962, 6915, 6914, 6913, 6912, 6916, 6917, 6981, 6980, 6979, 6978, 6983, 6982, 7097, 7096, 7093, 7092, 7095, 7094, 6971, 6970, 6969, 6968, 6967, 6966, 7015, 7014, 7018, 7019, 7017, 7016, 7052, 7053, 7054, 7055, 7051, 7050, 6919, 6918, 6922, 6923, 6921, 6920, 7000, 7001, 6996, 6997, 6998, 6999, 7102, 7103, 7101, 7100, 7098, 7099, 7080, 7081, 7083, 7082, 7085, 7084, 7076, 7077, 7075, 7074, 7079, 7078, 7058, 7059, 7057, 7056, 7061, 7060, 7027, 7026, 7031, 7030, 7029, 7028, 6943, 6942, 6946, 6947, 6945, 6944, 7002, 7003, 7007, 7006, 7005, 7004, 6937, 6936, 6940, 6941, 6939, 6938, 6930, 6931, 6935, 6934, 6933, 6932, 6950, 6951, 6948, 6949, 6952, 6953, 7013, 7012, 7008, 7009, 7010, 7011, 6972, 6973, 6976, 6977, 6975, 6974, 7068, 7069, 7070, 7071, 7072, 7073, 7091, 7090, 7089, 7088, 7087, 7086, 7065, 7064, 7063, 7062, 7067, 7066, 6958, 6959, 6957, 6956, 6954, 6955, 7038, 7039, 7042, 7043, 7041, 7040, 7036, 7037, 7033, 7032, 7034, 7035, 6992, 6993, 6991, 6990, 6994, 6995, 7048, 7049, 7045, 7044, 7047, 7046, 6984, 6985, 6988, 6989, 6986, 6987, 7025, 7024, 7020, 7021, 7023, 7022, 6925, 6924, 6927, 6926, 6928, 6929, 8645, 8644, 8640, 8641, 8643, 8642, 8689, 8688, 8693, 8692, 8691, 8690, 8821, 8820, 8822, 8823, 8825, 8824, 8785, 8784, 8786, 8787, 8789, 8788, 8710, 8711, 8708, 8709, 8707, 8706, 8830, 8831, 8826, 8827, 8829, 8828, 8730, 8731, 8733, 8732, 8735, 8734, 8777, 8776, 8775, 8774, 8773, 8772, 8793, 8792, 8794, 8795, 8791, 8790, 8653, 8652, 8657, 8656, 8655, 8654, 8697, 8696, 8695, 8694, 8698, 8699, 8817, 8816, 8815, 8814, 8818, 8819, 8754, 8755, 8756, 8757, 8758, 8759, 8800, 8801, 8796, 8797, 8799, 8798, 8744, 8745, 8743, 8742, 8746, 8747, 8660, 8661, 8658, 8659, 8663, 8662, 8715, 8714, 8717, 8716, 8713, 8712, 8723, 8722, 8720, 8721, 8718, 8719, 8651, 8650, 8646, 8647, 8649, 8648, 8674, 8675, 8673, 8672, 8671, 8670, 8667, 8666, 8665, 8664, 8669, 8668, 8728, 8729, 8724, 8725, 8727, 8726, 8779, 8778, 8781, 8780, 8783, 8782, 8705, 8704, 8703, 8702, 8700, 8701, 8804, 8805, 8807, 8806, 8803, 8802, 8765, 8764, 8763, 8762, 8760, 8761, 8767, 8766, 8770, 8771, 8769, 8768, 8687, 8686, 8682, 8683, 8685, 8684, 8678, 8679, 8677, 8676, 8681, 8680, 8811, 8810, 8809, 8808, 8813, 8812, 8753, 8752, 8748, 8749, 8751, 8750, 8741, 8740, 8736, 8737, 8739, 8738, 4836, 4837, 4840, 4841, 4839, 4838, 4986, 4987, 4988, 4989, 4991, 4990, 4933, 4932, 4935, 4934, 4936, 4937, 4801, 4800, 4804, 4805, 4802, 4803, 4953, 4952, 4951, 4950, 4955, 4954, 4926, 4927, 4928, 4929, 4931, 4930, 4858, 4859, 4854, 4855, 4857, 4856, 4845, 4844, 4847, 4846, 4842, 4843, 4925, 4924, 4922, 4923, 4921, 4920, 4940, 4941] +private def clayworthR_inv_c22 : Array (Fin 12096) := #[4939, 4938, 4943, 4942, 4868, 4869, 4870, 4871, 4867, 4866, 4975, 4974, 4976, 4977, 4979, 4978, 4971, 4970, 4973, 4972, 4969, 4968, 4947, 4946, 4945, 4944, 4948, 4949, 4818, 4819, 4821, 4820, 4822, 4823, 4812, 4813, 4817, 4816, 4814, 4815, 4916, 4917, 4918, 4919, 4914, 4915, 4874, 4875, 4876, 4877, 4872, 4873, 4850, 4851, 4853, 4852, 4849, 4848, 4811, 4810, 4807, 4806, 4808, 4809, 4883, 4882, 4878, 4879, 4881, 4880, 4982, 4983, 4984, 4985, 4981, 4980, 4905, 4904, 4906, 4907, 4903, 4902, 4829, 4828, 4824, 4825, 4826, 4827, 4860, 4861, 4864, 4865, 4863, 4862, 4913, 4912, 4909, 4908, 4911, 4910, 4967, 4966, 4963, 4962, 4965, 4964, 4884, 4885, 4888, 4889, 4886, 4887, 4898, 4899, 4900, 4901, 4896, 4897, 4835, 4834, 4830, 4831, 4833, 4832, 4892, 4893, 4894, 4895, 4890, 4891, 4956, 4957, 4958, 4959, 4961, 4960, 2905, 2904, 2909, 2908, 2907, 2906, 3055, 3054, 3057, 3056, 3059, 3058, 3025, 3024, 3028, 3029, 3026, 3027, 2925, 2924, 2926, 2927, 2922, 2923, 2964, 2965, 2967, 2966, 2969, 2968, 2913, 2912, 2915, 2914, 2910, 2911, 3012, 3013, 3017, 3016, 3015, 3014, 3034, 3035, 3033, 3032, 3030, 3031, 2944, 2945, 2942, 2943, 2940, 2941, 2932, 2933, 2930, 2931, 2928, 2929, 2963, 2962, 2958, 2959, 2961, 2960, 3070, 3071, 3068, 3069, 3067, 3066, 3052, 3053, 3050, 3051, 3048, 3049, 2995, 2994, 2996, 2997, 2999, 2998, 2988, 2989, 2990, 2991, 2992, 2993, 2886, 2887, 2888, 2889, 2891, 2890, 2955, 2954, 2957, 2956, 2953, 2952, 2880, 2881, 2885, 2884, 2882, 2883, 2917, 2916, 2921, 2920, 2918, 2919, 2897, 2896, 2894, 2895, 2893, 2892, 3019, 3018, 3023, 3022, 3021, 3020, 3039, 3038, 3041, 3040, 3037, 3036, 2936, 2937, 2938, 2939, 2934, 2935, 3007, 3006, 3008, 3009, 3010, 3011, 2901, 2900, 2903, 2902, 2898, 2899, 3004, 3005, 3003, 3002, 3001, 3000, 3064, 3065, 3061, 3060, 3063, 3062, 3045, 3044, 3047, 3046, 3042, 3043, 2970, 2971, 2973, 2972, 2974, 2975, 2946, 2947, 2949, 2948, 2951, 2950, 2985, 2984, 2986, 2987, 2982, 2983, 2977, 2976, 2981, 2980, 2979, 2978, 6593, 6592, 6589, 6588, 6590, 6591, 6703, 6702, 6704, 6705, 6707, 6706, 6529, 6528, 6533, 6532, 6531, 6530, 6691, 6690, 6695, 6694, 6693, 6692, 6602, 6603, 6605, 6604, 6600, 6601, 6637, 6636, 6639, 6638, 6641, 6640, 6594, 6595, 6599, 6598, 6596, 6597, 6685, 6684, 6689, 6688, 6686, 6687, 6534, 6535, 6538, 6539, 6536, 6537, 6609, 6608, 6606, 6607, 6611, 6610, 6716, 6717, 6719, 6718, 6714, 6715, 6654, 6655, 6657, 6656, 6659, 6658, 6709, 6708, 6713, 6712, 6711, 6710, 6643, 6642, 6644, 6645, 6646, 6647, 6566, 6567, 6565, 6564, 6568, 6569, 6626, 6627, 6624, 6625, 6629, 6628, 6682, 6683, 6678, 6679, 6680, 6681, 6553, 6552, 6557, 6556, 6555, 6554, 6550, 6551, 6547, 6546, 6549, 6548, 6662, 6663, 6660, 6661, 6664, 6665, 6562, 6563, 6558, 6559, 6560, 6561, 6666, 6667, 6670, 6671, 6668, 6669, 6579, 6578, 6581, 6580, 6576, 6577, 6613, 6612, 6617, 6616, 6615, 6614, 6672, 6673, 6677, 6676, 6674, 6675, 6575, 6574, 6571, 6570, 6572, 6573, 6633, 6632, 6631, 6630, 6635, 6634, 6651, 6650, 6649, 6648, 6652, 6653, 6701, 6700, 6697, 6696] +private def clayworthR_inv_c23 : Array (Fin 12096) := #[6698, 6699, 6618, 6619, 6620, 6621, 6622, 6623, 6587, 6586, 6582, 6583, 6584, 6585, 6544, 6545, 6541, 6540, 6542, 6543, 6340, 6341, 6336, 6337, 6338, 6339, 6380, 6381, 6379, 6378, 6383, 6382, 6511, 6510, 6513, 6512, 6515, 6514, 6471, 6470, 6473, 6472, 6469, 6468, 6409, 6408, 6412, 6413, 6411, 6410, 6507, 6506, 6505, 6504, 6509, 6508, 6517, 6516, 6519, 6518, 6521, 6520, 6394, 6395, 6392, 6393, 6390, 6391, 6432, 6433, 6436, 6437, 6434, 6435, 6476, 6477, 6478, 6479, 6475, 6474, 6342, 6343, 6345, 6344, 6347, 6346, 6419, 6418, 6417, 6416, 6415, 6414, 6400, 6401, 6398, 6399, 6396, 6397, 6527, 6526, 6525, 6524, 6523, 6522, 6499, 6498, 6501, 6500, 6502, 6503, 6493, 6492, 6495, 6494, 6497, 6496, 6449, 6448, 6445, 6444, 6447, 6446, 6369, 6368, 6366, 6367, 6371, 6370, 6425, 6424, 6422, 6423, 6421, 6420, 6464, 6465, 6467, 6466, 6463, 6462, 6359, 6358, 6357, 6356, 6354, 6355, 6388, 6389, 6385, 6384, 6386, 6387, 6430, 6431, 6426, 6427, 6429, 6428, 6403, 6402, 6405, 6404, 6407, 6406, 6486, 6487, 6488, 6489, 6490, 6491, 6455, 6454, 6450, 6451, 6452, 6453, 6364, 6365, 6361, 6360, 6362, 6363, 6456, 6457, 6461, 6460, 6458, 6459, 6440, 6441, 6438, 6439, 6443, 6442, 6373, 6372, 6375, 6374, 6377, 6376, 6480, 6481, 6483, 6482, 6484, 6485, 6348, 6349, 6350, 6351, 6352, 6353, 9988, 9989, 9984, 9985, 9986, 9987, 10166, 10167, 10164, 10165, 10168, 10169, 10149, 10148, 10151, 10150, 10146, 10147, 10068, 10069, 10072, 10073, 10071, 10070, 10170, 10171, 10172, 10173, 10174, 10175, 10140, 10141, 10144, 10145, 10142, 10143, 10059, 10058, 10056, 10057, 10060, 10061, 10046, 10047, 10049, 10048, 10045, 10044, 10000, 10001, 9996, 9997, 9999, 9998, 10079, 10078, 10075, 10074, 10076, 10077, 10095, 10094, 10096, 10097, 10093, 10092, 10160, 10161, 10163, 10162, 10158, 10159, 10153, 10152, 10156, 10157, 10155, 10154, 10021, 10020, 10022, 10023, 10025, 10024, 10016, 10017, 10018, 10019, 10014, 10015, 10139, 10138, 10137, 10136, 10135, 10134, 10100, 10101, 10102, 10103, 10098, 10099, 10007, 10006, 10005, 10004, 10002, 10003, 10055, 10054, 10050, 10051, 10052, 10053, 9993, 9992, 9994, 9995, 9990, 9991, 10037, 10036, 10034, 10035, 10033, 10032, 10031, 10030, 10028, 10029, 10027, 10026, 10067, 10066, 10062, 10063, 10065, 10064, 10114, 10115, 10112, 10113, 10110, 10111, 10009, 10008, 10012, 10013, 10010, 10011, 10123, 10122, 10125, 10124, 10127, 10126, 10128, 10129, 10133, 10132, 10131, 10130, 10043, 10042, 10041, 10040, 10038, 10039, 10117, 10116, 10121, 10120, 10119, 10118, 10086, 10087, 10089, 10088, 10091, 10090, 10084, 10085, 10083, 10082, 10080, 10081, 10109, 10108, 10104, 10105, 10106, 10107, 580, 581, 576, 577, 578, 579, 632, 633, 631, 630, 635, 634, 745, 744, 746, 747, 749, 748, 705, 704, 702, 703, 707, 706, 584, 585, 583, 582, 586, 587, 736, 737, 734, 735, 733, 732, 714, 715, 717, 716, 718, 719, 761, 760, 756, 757, 758, 759, 697, 696, 698, 699, 701, 700, 647, 646, 643, 642, 645, 644, 693, 692, 690, 691, 695, 694, 589, 588, 593, 592, 590, 591, 600, 601, 602, 603, 604, 605, 764, 765, 766, 767, 763, 762, 729, 728, 730, 731, 727, 726, 666, 667, 668, 669, 670, 671] +private def clayworthR_inv_c24 : Array (Fin 12096) := #[710, 711, 709, 708, 712, 713, 686, 687, 689, 688, 685, 684, 608, 609, 610, 611, 607, 606, 637, 636, 639, 638, 640, 641, 595, 594, 599, 598, 597, 596, 627, 626, 624, 625, 628, 629, 616, 617, 613, 612, 615, 614, 721, 720, 725, 724, 723, 722, 741, 740, 739, 738, 742, 743, 681, 680, 683, 682, 679, 678, 619, 618, 621, 620, 622, 623, 672, 673, 674, 675, 676, 677, 755, 754, 751, 750, 752, 753, 663, 662, 660, 661, 665, 664, 656, 657, 658, 659, 655, 654, 648, 649, 650, 651, 652, 653] + +private def clayworthR_inv : Array (Fin 12096) := + clayworthR_inv_c0 ++ clayworthR_inv_c1 ++ clayworthR_inv_c2 ++ clayworthR_inv_c3 ++ clayworthR_inv_c4 ++ clayworthR_inv_c5 ++ clayworthR_inv_c6 ++ clayworthR_inv_c7 ++ clayworthR_inv_c8 ++ clayworthR_inv_c9 ++ clayworthR_inv_c10 ++ clayworthR_inv_c11 ++ clayworthR_inv_c12 ++ clayworthR_inv_c13 ++ clayworthR_inv_c14 ++ clayworthR_inv_c15 ++ clayworthR_inv_c16 ++ clayworthR_inv_c17 ++ clayworthR_inv_c18 ++ clayworthR_inv_c19 ++ clayworthR_inv_c20 ++ clayworthR_inv_c21 ++ clayworthR_inv_c22 ++ clayworthR_inv_c23 ++ clayworthR_inv_c24 + +private def clayworthS_fwd_c0 : Array (Fin 12096) := #[416, 417, 414, 415, 419, 418, 478, 479, 475, 474, 476, 477, 404, 405, 402, 403, 407, 406, 508, 509, 505, 504, 506, 507, 396, 397, 399, 398, 401, 400, 542, 543, 544, 545, 541, 540, 564, 565, 569, 568, 566, 567, 473, 472, 470, 471, 469, 468, 503, 502, 498, 499, 500, 501, 574, 575, 570, 571, 572, 573, 435, 434, 436, 437, 433, 432, 557, 556, 552, 553, 554, 555, 460, 461, 456, 457, 458, 459, 423, 422, 424, 425, 420, 421, 462, 463, 464, 465, 466, 467, 532, 533, 528, 529, 530, 531, 443, 442, 439, 438, 441, 440, 494, 495, 493, 492, 497, 496, 490, 491, 486, 487, 488, 489, 429, 428, 427, 426, 431, 430, 413, 412, 409, 408, 410, 411, 520, 521, 516, 517, 519, 518, 536, 537, 535, 534, 538, 539, 480, 481, 484, 485, 483, 482, 388, 389, 386, 387, 384, 385, 523, 522, 525, 524, 526, 527, 549, 548, 547, 546, 551, 550, 393, 392, 390, 391, 395, 394, 449, 448, 445, 444, 446, 447, 454, 455, 453, 452, 450, 451, 513, 512, 515, 514, 511, 510, 562, 563, 560, 561, 559, 558, 2117, 2116, 2114, 2115, 2112, 2113, 2204, 2205, 2206, 2207, 2202, 2203, 2252, 2253, 2255, 2254, 2250, 2251, 2120, 2121, 2118, 2119, 2122, 2123, 2236, 2237, 2232, 2233, 2235, 2234, 2276, 2277, 2279, 2278, 2275, 2274, 2226, 2227, 2231, 2230, 2228, 2229, 2273, 2272, 2268, 2269, 2271, 2270, 2298, 2299, 2302, 2303, 2300, 2301, 2171, 2170, 2168, 2169, 2166, 2167, 2282, 2283, 2280, 2281, 2285, 2284, 2266, 2267, 2262, 2263, 2265, 2264, 2261, 2260, 2258, 2259, 2256, 2257, 2153, 2152, 2149, 2148, 2151, 2150, 2191, 2190, 2193, 2192, 2194, 2195, 2219, 2218, 2214, 2215, 2216, 2217, 2177, 2176, 2173, 2172, 2175, 2174, 2135, 2134, 2132, 2133, 2131, 2130, 2165, 2164, 2163, 2162, 2160, 2161, 2146, 2147, 2142, 2143, 2145, 2144, 2225, 2224, 2223, 2222, 2220, 2221, 2154, 2155, 2159, 2158, 2157, 2156, 2139, 2138, 2140, 2141, 2137, 2136, 2127, 2126, 2129, 2128, 2125, 2124, 2247, 2246, 2245, 2244, 2248, 2249, 2212, 2213, 2211, 2210, 2209, 2208, 2178, 2179, 2181, 2180, 2182, 2183, 2241, 2240, 2243, 2242, 2238, 2239, 2287, 2286, 2291, 2290, 2289, 2288, 2196, 2197, 2198, 2199, 2200, 2201, 2189, 2188, 2186, 2187, 2185, 2184, 2297, 2296, 2294, 2295, 2293, 2292, 2954, 2955, 2953, 2952, 2956, 2957, 2884, 2885, 2881, 2880, 2883, 2882, 2982, 2983, 2986, 2987, 2984, 2985, 3043, 3042, 3047, 3046, 3045, 3044, 3002, 3003, 3004, 3005, 3000, 3001, 2966, 2967, 2964, 2965, 2968, 2969, 3016, 3017, 3014, 3015, 3013, 3012, 3051, 3050, 3049, 3048, 3053, 3052, 2945, 2944, 2941, 2940, 2942, 2943, 2978, 2979, 2981, 2980, 2977, 2976, 2902, 2903, 2898, 2899, 2900, 2901, 3066, 3067, 3068, 3069, 3071, 3070, 2914, 2915, 2912, 2913, 2910, 2911, 3032, 3033, 3030, 3031, 3034, 3035, 2934, 2935, 2938, 2939, 2936, 2937, 3041, 3040, 3039, 3038, 3036, 3037, 3029, 3028, 3024, 3025, 3027, 3026, 3011, 3010, 3007, 3006, 3009, 3008, 2920, 2921, 2919, 2918, 2916, 2917, 2971, 2970] +private def clayworthS_fwd_c1 : Array (Fin 12096) := #[2972, 2973, 2975, 2974, 2886, 2887, 2891, 2890, 2888, 2889, 2905, 2904, 2907, 2906, 2909, 2908, 2895, 2894, 2893, 2892, 2897, 2896, 2947, 2946, 2949, 2948, 2951, 2950, 2999, 2998, 2994, 2995, 2997, 2996, 2961, 2960, 2958, 2959, 2962, 2963, 2925, 2924, 2927, 2926, 2923, 2922, 3019, 3018, 3022, 3023, 3021, 3020, 3055, 3054, 3057, 3056, 3058, 3059, 2928, 2929, 2933, 2932, 2931, 2930, 2988, 2989, 2993, 2992, 2990, 2991, 3065, 3064, 3061, 3060, 3063, 3062, 5001, 5000, 5002, 5003, 4998, 4999, 5034, 5035, 5036, 5037, 5038, 5039, 5044, 5045, 5043, 5042, 5040, 5041, 5008, 5009, 5004, 5005, 5007, 5006, 5094, 5095, 5098, 5099, 5096, 5097, 5152, 5153, 5148, 5149, 5151, 5150, 5134, 5135, 5130, 5131, 5132, 5133, 5157, 5156, 5158, 5159, 5154, 5155, 5122, 5123, 5120, 5121, 5118, 5119, 5180, 5181, 5183, 5182, 5179, 5178, 5093, 5092, 5088, 5089, 5090, 5091, 4992, 4993, 4994, 4995, 4997, 4996, 5082, 5083, 5084, 5085, 5087, 5086, 5016, 5017, 5021, 5020, 5019, 5018, 5032, 5033, 5030, 5031, 5029, 5028, 5080, 5081, 5077, 5076, 5078, 5079, 5116, 5117, 5115, 5114, 5112, 5113, 5110, 5111, 5107, 5106, 5109, 5108, 5026, 5027, 5022, 5023, 5025, 5024, 5069, 5068, 5065, 5064, 5066, 5067, 5015, 5014, 5012, 5013, 5010, 5011, 5144, 5145, 5143, 5142, 5146, 5147, 5073, 5072, 5074, 5075, 5070, 5071, 5125, 5124, 5126, 5127, 5129, 5128, 5162, 5163, 5161, 5160, 5165, 5164, 5051, 5050, 5046, 5047, 5049, 5048, 5138, 5139, 5140, 5141, 5136, 5137, 5166, 5167, 5171, 5170, 5168, 5169, 5063, 5062, 5058, 5059, 5061, 5060, 5056, 5057, 5052, 5053, 5054, 5055, 5103, 5102, 5101, 5100, 5105, 5104, 5177, 5176, 5175, 5174, 5173, 5172, 1156, 1157, 1152, 1153, 1155, 1154, 1197, 1196, 1199, 1198, 1194, 1195, 1218, 1219, 1223, 1222, 1220, 1221, 1243, 1242, 1244, 1245, 1247, 1246, 1331, 1330, 1327, 1326, 1329, 1328, 1267, 1266, 1271, 1270, 1268, 1269, 1239, 1238, 1240, 1241, 1236, 1237, 1343, 1342, 1338, 1339, 1340, 1341, 1202, 1203, 1204, 1205, 1200, 1201, 1304, 1305, 1303, 1302, 1307, 1306, 1316, 1317, 1319, 1318, 1314, 1315, 1192, 1193, 1191, 1190, 1188, 1189, 1299, 1298, 1300, 1301, 1297, 1296, 1207, 1206, 1209, 1208, 1211, 1210, 1283, 1282, 1279, 1278, 1281, 1280, 1177, 1176, 1180, 1181, 1179, 1178, 1186, 1187, 1184, 1185, 1183, 1182, 1234, 1235, 1231, 1230, 1233, 1232, 1258, 1259, 1256, 1257, 1255, 1254, 1171, 1170, 1174, 1175, 1172, 1173, 1248, 1249, 1251, 1250, 1253, 1252, 1323, 1322, 1321, 1320, 1324, 1325, 1312, 1313, 1308, 1309, 1311, 1310, 1227, 1226, 1225, 1224, 1229, 1228, 1284, 1285, 1286, 1287, 1288, 1289, 1163, 1162, 1160, 1161, 1158, 1159, 1261, 1260, 1263, 1262, 1264, 1265, 1165, 1164, 1168, 1169, 1166, 1167, 1275, 1274, 1276, 1277, 1273, 1272, 1293, 1292, 1295, 1294, 1291, 1290, 1214, 1215, 1216, 1217, 1212, 1213, 1336, 1337, 1332, 1333, 1335, 1334, 6538, 6539, 6536, 6537, 6535, 6534, 6582, 6583, 6586, 6587, 6584, 6585, 6626, 6627, 6628, 6629, 6624, 6625, 6554, 6555, 6553, 6552, 6557, 6556, 6701, 6700, 6699, 6698, 6697, 6696, 6637, 6636, 6639, 6638, 6640, 6641, 6688, 6689, 6687, 6686] +private def clayworthS_fwd_c2 : Array (Fin 12096) := #[6684, 6685, 6572, 6573, 6575, 6574, 6571, 6570, 6715, 6714, 6718, 6719, 6717, 6716, 6598, 6599, 6596, 6597, 6594, 6595, 6615, 6614, 6617, 6616, 6613, 6612, 6702, 6703, 6704, 6705, 6706, 6707, 6675, 6674, 6672, 6673, 6676, 6677, 6529, 6528, 6530, 6531, 6532, 6533, 6591, 6590, 6589, 6588, 6593, 6592, 6618, 6619, 6620, 6621, 6623, 6622, 6683, 6682, 6679, 6678, 6680, 6681, 6581, 6580, 6577, 6576, 6579, 6578, 6658, 6659, 6654, 6655, 6656, 6657, 6567, 6566, 6565, 6564, 6569, 6568, 6631, 6630, 6633, 6632, 6635, 6634, 6562, 6563, 6561, 6560, 6559, 6558, 6648, 6649, 6650, 6651, 6652, 6653, 6711, 6710, 6708, 6709, 6713, 6712, 6691, 6690, 6694, 6695, 6692, 6693, 6545, 6544, 6543, 6542, 6540, 6541, 6660, 6661, 6664, 6665, 6663, 6662, 6547, 6546, 6551, 6550, 6548, 6549, 6669, 6668, 6666, 6667, 6671, 6670, 6603, 6602, 6605, 6604, 6600, 6601, 6611, 6610, 6607, 6606, 6609, 6608, 6644, 6645, 6642, 6643, 6646, 6647, 10419, 10418, 10421, 10420, 10417, 10416, 10442, 10443, 10440, 10441, 10445, 10444, 10387, 10386, 10391, 10390, 10389, 10388, 10524, 10525, 10526, 10527, 10528, 10529, 10383, 10382, 10380, 10381, 10385, 10384, 10504, 10505, 10503, 10502, 10501, 10500, 10498, 10499, 10496, 10497, 10495, 10494, 10368, 10369, 10370, 10371, 10372, 10373, 10428, 10429, 10431, 10430, 10432, 10433, 10512, 10513, 10517, 10516, 10514, 10515, 10549, 10548, 10552, 10553, 10550, 10551, 10533, 10532, 10535, 10534, 10531, 10530, 10506, 10507, 10508, 10509, 10510, 10511, 10486, 10487, 10482, 10483, 10485, 10484, 10464, 10465, 10467, 10466, 10468, 10469, 10400, 10401, 10399, 10398, 10402, 10403, 10408, 10409, 10406, 10407, 10405, 10404, 10463, 10462, 10458, 10459, 10460, 10461, 10438, 10439, 10435, 10434, 10437, 10436, 10491, 10490, 10492, 10493, 10488, 10489, 10414, 10415, 10410, 10411, 10413, 10412, 10475, 10474, 10471, 10470, 10473, 10472, 10395, 10394, 10396, 10397, 10392, 10393, 10541, 10540, 10537, 10536, 10538, 10539, 10523, 10522, 10521, 10520, 10519, 10518, 10453, 10452, 10455, 10454, 10457, 10456, 10449, 10448, 10450, 10451, 10446, 10447, 10478, 10479, 10481, 10480, 10476, 10477, 10542, 10543, 10544, 10545, 10547, 10546, 10376, 10377, 10379, 10378, 10375, 10374, 10427, 10426, 10423, 10422, 10424, 10425, 10558, 10559, 10555, 10554, 10557, 10556, 9638, 9639, 9636, 9637, 9641, 9640, 9750, 9751, 9752, 9753, 9754, 9755, 9613, 9612, 9614, 9615, 9617, 9616, 9705, 9704, 9707, 9706, 9703, 9702, 9681, 9680, 9679, 9678, 9683, 9682, 9719, 9718, 9714, 9715, 9716, 9717, 9756, 9757, 9758, 9759, 9760, 9761, 9783, 9782, 9781, 9780, 9784, 9785, 9786, 9787, 9791, 9790, 9789, 9788, 9732, 9733, 9737, 9736, 9735, 9734, 9769, 9768, 9773, 9772, 9770, 9771, 9658, 9659, 9654, 9655, 9656, 9657, 9747, 9746, 9749, 9748, 9745, 9744, 9646, 9647, 9645, 9644, 9642, 9643, 9663, 9662, 9661, 9660, 9665, 9664, 9685, 9684, 9686, 9687, 9689, 9688, 9628, 9629, 9627, 9626, 9625, 9624, 9649, 9648, 9651, 9650, 9653, 9652, 9669, 9668, 9667, 9666, 9671, 9670, 9712, 9713, 9709, 9708, 9710, 9711, 9694, 9695, 9693, 9692, 9690, 9691, 9632, 9633, 9634, 9635, 9631, 9630, 9675, 9674, 9673, 9672, 9677, 9676, 9623, 9622, 9621, 9620, 9618, 9619, 9739, 9738, 9743, 9742, 9740, 9741, 9723, 9722, 9720, 9721, 9725, 9724] +private def clayworthS_fwd_c3 : Array (Fin 12096) := #[9602, 9603, 9600, 9601, 9604, 9605, 9697, 9696, 9701, 9700, 9699, 9698, 9767, 9766, 9763, 9762, 9765, 9764, 9607, 9606, 9610, 9611, 9608, 9609, 9726, 9727, 9731, 9730, 9729, 9728, 9778, 9779, 9777, 9776, 9774, 9775, 967, 966, 969, 968, 970, 971, 990, 991, 992, 993, 994, 995, 1122, 1123, 1125, 1124, 1127, 1126, 1107, 1106, 1104, 1105, 1109, 1108, 1057, 1056, 1059, 1058, 1061, 1060, 1096, 1097, 1095, 1094, 1093, 1092, 1041, 1040, 1039, 1038, 1043, 1042, 1136, 1137, 1139, 1138, 1134, 1135, 1084, 1085, 1082, 1083, 1081, 1080, 1130, 1131, 1129, 1128, 1133, 1132, 961, 960, 962, 963, 965, 964, 1149, 1148, 1147, 1146, 1151, 1150, 1023, 1022, 1021, 1020, 1025, 1024, 1017, 1016, 1014, 1015, 1019, 1018, 1121, 1120, 1116, 1117, 1118, 1119, 1112, 1113, 1114, 1115, 1110, 1111, 999, 998, 1001, 1000, 997, 996, 1098, 1099, 1101, 1100, 1103, 1102, 1073, 1072, 1069, 1068, 1071, 1070, 986, 987, 985, 984, 989, 988, 1036, 1037, 1032, 1033, 1035, 1034, 1079, 1078, 1075, 1074, 1076, 1077, 1030, 1031, 1026, 1027, 1028, 1029, 1089, 1088, 1087, 1086, 1090, 1091, 974, 975, 973, 972, 976, 977, 1051, 1050, 1052, 1053, 1055, 1054, 981, 980, 983, 982, 979, 978, 1064, 1065, 1066, 1067, 1063, 1062, 1003, 1002, 1005, 1004, 1007, 1006, 1010, 1011, 1012, 1013, 1008, 1009, 1044, 1045, 1049, 1048, 1047, 1046, 1145, 1144, 1140, 1141, 1143, 1142, 7538, 7539, 7540, 7541, 7536, 7537, 7507, 7506, 7508, 7509, 7511, 7510, 7643, 7642, 7641, 7640, 7639, 7638, 7501, 7500, 7503, 7502, 7505, 7504, 7574, 7575, 7573, 7572, 7576, 7577, 7666, 7667, 7662, 7663, 7664, 7665, 7618, 7619, 7616, 7617, 7615, 7614, 7660, 7661, 7658, 7659, 7656, 7657, 7676, 7677, 7679, 7678, 7675, 7674, 7586, 7587, 7588, 7589, 7585, 7584, 7527, 7526, 7529, 7528, 7524, 7525, 7651, 7650, 7654, 7655, 7653, 7652, 7647, 7646, 7649, 7648, 7645, 7644, 7634, 7635, 7636, 7637, 7632, 7633, 7548, 7549, 7552, 7553, 7550, 7551, 7612, 7613, 7608, 7609, 7610, 7611, 7488, 7489, 7490, 7491, 7492, 7493, 7547, 7546, 7545, 7544, 7543, 7542, 7578, 7579, 7580, 7581, 7583, 7582, 7521, 7520, 7522, 7523, 7518, 7519, 7570, 7571, 7566, 7567, 7569, 7568, 7564, 7565, 7561, 7560, 7563, 7562, 7531, 7530, 7532, 7533, 7535, 7534, 7516, 7517, 7515, 7514, 7512, 7513, 7596, 7597, 7598, 7599, 7601, 7600, 7620, 7621, 7625, 7624, 7622, 7623, 7497, 7496, 7494, 7495, 7498, 7499, 7603, 7602, 7605, 7604, 7606, 7607, 7627, 7626, 7631, 7630, 7628, 7629, 7557, 7556, 7558, 7559, 7555, 7554, 7591, 7590, 7594, 7595, 7593, 7592, 7672, 7673, 7669, 7668, 7671, 7670, 8670, 8671, 8672, 8673, 8675, 8674, 8714, 8715, 8716, 8717, 8712, 8713, 8739, 8738, 8737, 8736, 8741, 8740, 8809, 8808, 8813, 8812, 8810, 8811, 8655, 8654, 8652, 8653, 8657, 8656, 8731, 8730, 8735, 8734, 8733, 8732, 8815, 8814, 8816, 8817, 8818, 8819, 8777, 8776, 8774, 8775, 8773, 8772, 8640, 8641, 8643, 8642, 8645, 8644, 8829, 8828, 8826, 8827, 8831, 8830, 8680, 8681, 8679, 8678, 8677, 8676, 8790, 8791, 8792, 8793, 8795, 8794, 8804, 8805, 8806, 8807, 8802, 8803, 8785, 8784] +private def clayworthS_fwd_c4 : Array (Fin 12096) := #[8786, 8787, 8789, 8788, 8704, 8705, 8701, 8700, 8702, 8703, 8688, 8689, 8693, 8692, 8690, 8691, 8669, 8668, 8666, 8667, 8664, 8665, 8728, 8729, 8724, 8725, 8726, 8727, 8683, 8682, 8685, 8684, 8686, 8687, 8758, 8759, 8754, 8755, 8756, 8757, 8660, 8661, 8659, 8658, 8662, 8663, 8748, 8749, 8750, 8751, 8753, 8752, 8798, 8799, 8796, 8797, 8800, 8801, 8720, 8721, 8719, 8718, 8723, 8722, 8763, 8762, 8765, 8764, 8760, 8761, 8648, 8649, 8650, 8651, 8647, 8646, 8768, 8769, 8766, 8767, 8771, 8770, 8778, 8779, 8780, 8781, 8783, 8782, 8821, 8820, 8824, 8825, 8823, 8822, 8710, 8711, 8707, 8706, 8709, 8708, 8698, 8699, 8694, 8695, 8696, 8697, 8742, 8743, 8745, 8744, 8747, 8746, 5986, 5987, 5982, 5983, 5984, 5985, 6033, 6032, 6030, 6031, 6035, 6034, 6093, 6092, 6091, 6090, 6095, 6094, 5961, 5960, 5963, 5962, 5959, 5958, 6054, 6055, 6056, 6057, 6059, 6058, 6081, 6080, 6083, 6082, 6079, 6078, 6071, 6070, 6067, 6066, 6069, 6068, 6112, 6113, 6108, 6109, 6110, 6111, 6135, 6134, 6137, 6136, 6132, 6133, 6009, 6008, 6011, 6010, 6006, 6007, 6027, 6026, 6029, 6028, 6025, 6024, 5972, 5973, 5975, 5974, 5970, 5971, 6139, 6138, 6140, 6141, 6143, 6142, 6087, 6086, 6085, 6084, 6089, 6088, 6117, 6116, 6115, 6114, 6118, 6119, 6099, 6098, 6097, 6096, 6100, 6101, 5976, 5977, 5978, 5979, 5981, 5980, 6047, 6046, 6043, 6042, 6045, 6044, 5966, 5967, 5969, 5968, 5965, 5964, 6016, 6017, 6012, 6013, 6014, 6015, 6036, 6037, 6040, 6041, 6038, 6039, 6105, 6104, 6103, 6102, 6107, 6106, 6018, 6019, 6020, 6021, 6022, 6023, 6073, 6072, 6077, 6076, 6074, 6075, 5954, 5955, 5952, 5953, 5956, 5957, 6048, 6049, 6052, 6053, 6051, 6050, 6065, 6064, 6063, 6062, 6061, 6060, 5988, 5989, 5993, 5992, 5991, 5990, 6120, 6121, 6124, 6125, 6123, 6122, 6004, 6005, 6000, 6001, 6002, 6003, 5995, 5994, 5998, 5999, 5997, 5996, 6130, 6131, 6128, 6129, 6127, 6126, 10768, 10769, 10765, 10764, 10766, 10767, 10789, 10788, 10790, 10791, 10793, 10792, 10846, 10847, 10843, 10842, 10844, 10845, 10781, 10780, 10776, 10777, 10778, 10779, 10894, 10895, 10892, 10893, 10890, 10891, 10912, 10913, 10909, 10908, 10910, 10911, 10907, 10906, 10905, 10904, 10902, 10903, 10936, 10937, 10934, 10935, 10932, 10933, 10753, 10752, 10755, 10754, 10756, 10757, 10834, 10835, 10833, 10832, 10831, 10830, 10864, 10865, 10860, 10861, 10862, 10863, 10822, 10823, 10818, 10819, 10820, 10821, 10799, 10798, 10797, 10796, 10794, 10795, 10758, 10759, 10760, 10761, 10762, 10763, 10814, 10815, 10816, 10817, 10812, 10813, 10784, 10785, 10787, 10786, 10782, 10783, 10811, 10810, 10807, 10806, 10809, 10808, 10858, 10859, 10855, 10854, 10857, 10856, 10839, 10838, 10836, 10837, 10841, 10840, 10898, 10899, 10900, 10901, 10897, 10896, 10800, 10801, 10804, 10805, 10802, 10803, 10883, 10882, 10880, 10881, 10878, 10879, 10876, 10877, 10872, 10873, 10874, 10875, 10928, 10929, 10930, 10931, 10926, 10927, 10922, 10923, 10920, 10921, 10924, 10925, 10852, 10853, 10848, 10849, 10850, 10851, 10771, 10770, 10774, 10775, 10773, 10772, 10884, 10885, 10887, 10886, 10889, 10888, 10916, 10917, 10919, 10918, 10914, 10915, 10939, 10938, 10943, 10942, 10940, 10941, 10824, 10825, 10826, 10827, 10828, 10829, 10866, 10867, 10870, 10871, 10869, 10868, 8274, 8275, 8277, 8276] +private def clayworthS_fwd_c5 : Array (Fin 12096) := #[8278, 8279, 8286, 8287, 8291, 8290, 8288, 8289, 8338, 8339, 8334, 8335, 8336, 8337, 8357, 8356, 8354, 8355, 8352, 8353, 8412, 8413, 8417, 8416, 8414, 8415, 8402, 8403, 8401, 8400, 8404, 8405, 8264, 8265, 8267, 8266, 8262, 8263, 8360, 8361, 8362, 8363, 8359, 8358, 8380, 8381, 8377, 8376, 8379, 8378, 8349, 8348, 8347, 8346, 8351, 8350, 8421, 8420, 8422, 8423, 8419, 8418, 8444, 8445, 8446, 8447, 8442, 8443, 8323, 8322, 8324, 8325, 8327, 8326, 8302, 8303, 8300, 8301, 8298, 8299, 8313, 8312, 8314, 8315, 8310, 8311, 8393, 8392, 8389, 8388, 8391, 8390, 8368, 8369, 8364, 8365, 8366, 8367, 8292, 8293, 8295, 8294, 8296, 8297, 8329, 8328, 8330, 8331, 8333, 8332, 8280, 8281, 8284, 8285, 8282, 8283, 8272, 8273, 8270, 8271, 8269, 8268, 8410, 8411, 8407, 8406, 8408, 8409, 8396, 8397, 8394, 8395, 8398, 8399, 8340, 8341, 8345, 8344, 8342, 8343, 8372, 8373, 8370, 8371, 8374, 8375, 8261, 8260, 8259, 8258, 8257, 8256, 8425, 8424, 8429, 8428, 8426, 8427, 8304, 8305, 8306, 8307, 8308, 8309, 8382, 8383, 8385, 8384, 8387, 8386, 8430, 8431, 8434, 8435, 8432, 8433, 8321, 8320, 8316, 8317, 8318, 8319, 8440, 8441, 8436, 8437, 8439, 8438, 10591, 10590, 10595, 10594, 10592, 10593, 10607, 10606, 10605, 10604, 10603, 10602, 10716, 10717, 10720, 10721, 10718, 10719, 10575, 10574, 10572, 10573, 10577, 10576, 10680, 10681, 10684, 10685, 10682, 10683, 10658, 10659, 10656, 10657, 10660, 10661, 10730, 10731, 10728, 10729, 10732, 10733, 10634, 10635, 10636, 10637, 10633, 10632, 10664, 10665, 10666, 10667, 10662, 10663, 10750, 10751, 10747, 10746, 10749, 10748, 10710, 10711, 10713, 10712, 10715, 10714, 10624, 10625, 10623, 10622, 10620, 10621, 10723, 10722, 10725, 10724, 10727, 10726, 10629, 10628, 10626, 10627, 10631, 10630, 10694, 10695, 10693, 10692, 10697, 10696, 10561, 10560, 10563, 10562, 10565, 10564, 10581, 10580, 10582, 10583, 10579, 10578, 10586, 10587, 10585, 10584, 10588, 10589, 10654, 10655, 10650, 10651, 10652, 10653, 10642, 10643, 10638, 10639, 10640, 10641, 10703, 10702, 10701, 10700, 10698, 10699, 10596, 10597, 10601, 10600, 10598, 10599, 10678, 10679, 10675, 10674, 10676, 10677, 10644, 10645, 10646, 10647, 10649, 10648, 10672, 10673, 10669, 10668, 10671, 10670, 10738, 10739, 10735, 10734, 10737, 10736, 10571, 10570, 10569, 10568, 10567, 10566, 10688, 10689, 10691, 10690, 10687, 10686, 10608, 10609, 10610, 10611, 10612, 10613, 10705, 10704, 10708, 10709, 10706, 10707, 10740, 10741, 10744, 10745, 10742, 10743, 10615, 10614, 10619, 10618, 10616, 10617, 162, 163, 166, 167, 164, 165, 21, 20, 18, 19, 23, 22, 130, 131, 129, 128, 127, 126, 172, 173, 169, 168, 171, 170, 184, 185, 180, 181, 182, 183, 72, 73, 76, 77, 74, 75, 107, 106, 103, 102, 105, 104, 33, 32, 34, 35, 31, 30, 191, 190, 187, 186, 189, 188, 47, 46, 43, 42, 44, 45, 60, 61, 62, 63, 64, 65, 150, 151, 152, 153, 155, 154, 147, 146, 148, 149, 144, 145, 132, 133, 134, 135, 136, 137, 0, 1, 2, 3, 5, 4, 51, 50, 52, 53, 48, 49, 96, 97, 99, 98, 100, 101, 24, 25, 29, 28, 27, 26, 36, 37, 39, 38, 41, 40, 94, 95, 91, 90, 93, 92] +private def clayworthS_fwd_c6 : Array (Fin 12096) := #[121, 120, 123, 122, 124, 125, 113, 112, 109, 108, 111, 110, 81, 80, 79, 78, 82, 83, 158, 159, 160, 161, 157, 156, 143, 142, 141, 140, 139, 138, 86, 87, 84, 85, 88, 89, 6, 7, 11, 10, 8, 9, 15, 14, 16, 17, 13, 12, 114, 115, 116, 117, 118, 119, 69, 68, 71, 70, 67, 66, 59, 58, 55, 54, 57, 56, 178, 179, 177, 176, 175, 174, 11722, 11723, 11718, 11719, 11721, 11720, 11795, 11794, 11790, 11791, 11793, 11792, 11883, 11882, 11881, 11880, 11884, 11885, 11731, 11730, 11733, 11732, 11735, 11734, 11847, 11846, 11849, 11848, 11844, 11845, 11866, 11867, 11863, 11862, 11865, 11864, 11817, 11816, 11814, 11815, 11819, 11818, 11854, 11855, 11852, 11853, 11850, 11851, 11714, 11715, 11712, 11713, 11716, 11717, 11788, 11789, 11785, 11784, 11786, 11787, 11831, 11830, 11827, 11826, 11829, 11828, 11755, 11754, 11757, 11756, 11759, 11758, 11771, 11770, 11766, 11767, 11769, 11768, 11868, 11869, 11872, 11873, 11871, 11870, 11891, 11890, 11887, 11886, 11889, 11888, 11783, 11782, 11779, 11778, 11781, 11780, 11823, 11822, 11821, 11820, 11824, 11825, 11736, 11737, 11741, 11740, 11738, 11739, 11763, 11762, 11760, 11761, 11765, 11764, 11752, 11753, 11750, 11751, 11748, 11749, 11812, 11813, 11809, 11808, 11810, 11811, 11746, 11747, 11743, 11742, 11745, 11744, 11799, 11798, 11796, 11797, 11800, 11801, 11838, 11839, 11842, 11843, 11841, 11840, 11876, 11877, 11878, 11879, 11874, 11875, 11804, 11805, 11806, 11807, 11802, 11803, 11857, 11856, 11860, 11861, 11858, 11859, 11728, 11729, 11726, 11727, 11725, 11724, 11893, 11892, 11897, 11896, 11894, 11895, 11772, 11773, 11776, 11777, 11774, 11775, 11832, 11833, 11835, 11834, 11836, 11837, 11903, 11902, 11900, 11901, 11898, 11899, 4615, 4614, 4617, 4616, 4618, 4619, 4661, 4660, 4657, 4656, 4658, 4659, 4758, 4759, 4763, 4762, 4760, 4761, 4625, 4624, 4621, 4620, 4623, 4622, 4698, 4699, 4701, 4700, 4703, 4702, 4771, 4770, 4772, 4773, 4775, 4774, 4733, 4732, 4729, 4728, 4730, 4731, 4766, 4767, 4764, 4765, 4769, 4768, 4610, 4611, 4608, 4609, 4612, 4613, 4792, 4793, 4788, 4789, 4791, 4790, 4707, 4706, 4709, 4708, 4705, 4704, 4641, 4640, 4642, 4643, 4638, 4639, 4794, 4795, 4797, 4796, 4798, 4799, 4666, 4667, 4664, 4665, 4662, 4663, 4734, 4735, 4737, 4736, 4739, 4738, 4678, 4679, 4674, 4675, 4676, 4677, 4750, 4751, 4747, 4746, 4749, 4748, 4646, 4647, 4648, 4649, 4644, 4645, 4724, 4725, 4722, 4723, 4727, 4726, 4633, 4632, 4636, 4637, 4635, 4634, 4650, 4651, 4654, 4655, 4653, 4652, 4680, 4681, 4683, 4682, 4685, 4684, 4631, 4630, 4629, 4628, 4627, 4626, 4757, 4756, 4752, 4753, 4755, 4754, 4745, 4744, 4742, 4743, 4740, 4741, 4693, 4692, 4695, 4694, 4696, 4697, 4686, 4687, 4691, 4690, 4689, 4688, 4718, 4719, 4721, 4720, 4716, 4717, 4776, 4777, 4778, 4779, 4781, 4780, 4782, 4783, 4787, 4786, 4784, 4785, 4672, 4673, 4670, 4671, 4668, 4669, 4711, 4710, 4714, 4715, 4713, 4712, 6346, 6347, 6343, 6342, 6344, 6345, 6377, 6376, 6372, 6373, 6375, 6374, 6424, 6425, 6420, 6421, 6423, 6422, 6359, 6358, 6354, 6355, 6356, 6357, 6461, 6460, 6456, 6457, 6458, 6459, 6433, 6432, 6435, 6434, 6437, 6436, 6500, 6501, 6498, 6499, 6502, 6503, 6496, 6497] +private def clayworthS_fwd_c7 : Array (Fin 12096) := #[6492, 6493, 6494, 6495, 6337, 6336, 6339, 6338, 6341, 6340, 6519, 6518, 6521, 6520, 6517, 6516, 6419, 6418, 6415, 6414, 6417, 6416, 6526, 6527, 6523, 6522, 6524, 6525, 6474, 6475, 6477, 6476, 6478, 6479, 6482, 6483, 6484, 6485, 6480, 6481, 6469, 6468, 6470, 6471, 6473, 6472, 6402, 6403, 6405, 6404, 6407, 6406, 6387, 6386, 6389, 6388, 6384, 6385, 6439, 6438, 6440, 6441, 6442, 6443, 6383, 6382, 6378, 6379, 6381, 6380, 6430, 6431, 6427, 6426, 6429, 6428, 6463, 6462, 6464, 6465, 6466, 6467, 6448, 6449, 6444, 6445, 6446, 6447, 6369, 6368, 6366, 6367, 6371, 6370, 6364, 6365, 6362, 6363, 6361, 6360, 6488, 6489, 6487, 6486, 6491, 6490, 6349, 6348, 6353, 6352, 6350, 6351, 6451, 6450, 6452, 6453, 6455, 6454, 6504, 6505, 6509, 6508, 6506, 6507, 6395, 6394, 6390, 6391, 6393, 6392, 6511, 6510, 6512, 6513, 6514, 6515, 6410, 6411, 6412, 6413, 6409, 6408, 6396, 6397, 6401, 6400, 6398, 6399, 2354, 2355, 2356, 2357, 2352, 2353, 2395, 2394, 2399, 2398, 2396, 2397, 2419, 2418, 2423, 2422, 2420, 2421, 2441, 2440, 2439, 2438, 2436, 2437, 2382, 2383, 2386, 2387, 2385, 2384, 2306, 2307, 2305, 2304, 2309, 2308, 2495, 2494, 2491, 2490, 2493, 2492, 2371, 2370, 2374, 2375, 2372, 2373, 2363, 2362, 2358, 2359, 2361, 2360, 2482, 2483, 2481, 2480, 2478, 2479, 2467, 2466, 2468, 2469, 2470, 2471, 2463, 2462, 2465, 2464, 2460, 2461, 2344, 2345, 2343, 2342, 2340, 2341, 2451, 2450, 2448, 2449, 2453, 2452, 2433, 2432, 2431, 2430, 2435, 2434, 2311, 2310, 2313, 2312, 2314, 2315, 2369, 2368, 2366, 2367, 2364, 2365, 2389, 2388, 2390, 2391, 2393, 2392, 2323, 2322, 2327, 2326, 2325, 2324, 2337, 2336, 2338, 2339, 2334, 2335, 2346, 2347, 2349, 2348, 2351, 2350, 2411, 2410, 2409, 2408, 2406, 2407, 2330, 2331, 2328, 2329, 2333, 2332, 2377, 2376, 2379, 2378, 2380, 2381, 2456, 2457, 2459, 2458, 2454, 2455, 2317, 2316, 2321, 2320, 2319, 2318, 2413, 2412, 2416, 2417, 2415, 2414, 2472, 2473, 2476, 2477, 2475, 2474, 2428, 2429, 2426, 2427, 2424, 2425, 2442, 2443, 2447, 2446, 2445, 2444, 2486, 2487, 2484, 2485, 2488, 2489, 2401, 2400, 2403, 2402, 2405, 2404, 11920, 11921, 11918, 11919, 11916, 11917, 11960, 11961, 11958, 11959, 11962, 11963, 11975, 11974, 11972, 11973, 11970, 11971, 11934, 11935, 11936, 11937, 11939, 11938, 12031, 12030, 12032, 12033, 12035, 12034, 12071, 12070, 12067, 12066, 12068, 12069, 12012, 12013, 12015, 12014, 12017, 12016, 12083, 12082, 12079, 12078, 12080, 12081, 11905, 11904, 11909, 11908, 11907, 11906, 12002, 12003, 12004, 12005, 12001, 12000, 12026, 12027, 12028, 12029, 12025, 12024, 12056, 12057, 12055, 12054, 12058, 12059, 11989, 11988, 11990, 11991, 11993, 11992, 12075, 12074, 12077, 12076, 12073, 12072, 11969, 11968, 11965, 11964, 11967, 11966, 12053, 12052, 12049, 12048, 12051, 12050, 11910, 11911, 11912, 11913, 11914, 11915, 12018, 12019, 12020, 12021, 12022, 12023, 11946, 11947, 11950, 11951, 11949, 11948, 11981, 11980, 11978, 11979, 11976, 11977, 11955, 11954, 11957, 11956, 11953, 11952, 11945, 11944, 11942, 11943, 11941, 11940, 12040, 12041, 12037, 12036, 12039, 12038, 12062, 12063, 12061, 12060, 12065, 12064, 12009, 12008, 12007, 12006, 12011, 12010, 11924, 11925, 11922, 11923, 11927, 11926, 11928, 11929, 11933, 11932] +private def clayworthS_fwd_c8 : Array (Fin 12096) := #[11930, 11931, 12043, 12042, 12044, 12045, 12046, 12047, 12085, 12084, 12087, 12086, 12088, 12089, 11997, 11996, 11998, 11999, 11994, 11995, 11986, 11987, 11984, 11985, 11982, 11983, 12095, 12094, 12092, 12093, 12090, 12091, 3274, 3275, 3273, 3272, 3271, 3270, 3289, 3288, 3290, 3291, 3292, 3293, 3312, 3313, 3316, 3317, 3314, 3315, 3278, 3279, 3280, 3281, 3276, 3277, 3378, 3379, 3382, 3383, 3380, 3381, 3394, 3395, 3392, 3393, 3390, 3391, 3265, 3264, 3268, 3269, 3267, 3266, 3455, 3454, 3450, 3451, 3453, 3452, 3354, 3355, 3358, 3359, 3356, 3357, 3295, 3294, 3296, 3297, 3299, 3298, 3417, 3416, 3415, 3414, 3418, 3419, 3441, 3440, 3439, 3438, 3443, 3442, 3344, 3345, 3346, 3347, 3342, 3343, 3431, 3430, 3427, 3426, 3428, 3429, 3304, 3305, 3302, 3303, 3300, 3301, 3413, 3412, 3409, 3408, 3411, 3410, 3350, 3351, 3349, 3348, 3352, 3353, 3328, 3329, 3325, 3324, 3327, 3326, 3282, 3283, 3286, 3287, 3284, 3285, 3321, 3320, 3319, 3318, 3323, 3322, 3376, 3377, 3373, 3372, 3374, 3375, 3361, 3360, 3362, 3363, 3364, 3365, 3308, 3309, 3306, 3307, 3310, 3311, 3368, 3369, 3366, 3367, 3371, 3370, 3434, 3435, 3432, 3433, 3436, 3437, 3424, 3425, 3423, 3422, 3420, 3421, 3401, 3400, 3397, 3396, 3399, 3398, 3386, 3387, 3388, 3389, 3384, 3385, 3332, 3333, 3334, 3335, 3331, 3330, 3405, 3404, 3406, 3407, 3403, 3402, 3340, 3341, 3339, 3338, 3336, 3337, 3449, 3448, 3447, 3446, 3444, 3445, 9238, 9239, 9234, 9235, 9236, 9237, 9217, 9216, 9219, 9218, 9220, 9221, 9372, 9373, 9375, 9374, 9376, 9377, 9361, 9360, 9362, 9363, 9365, 9364, 9347, 9346, 9342, 9343, 9344, 9345, 9291, 9290, 9289, 9288, 9293, 9292, 9381, 9380, 9379, 9378, 9382, 9383, 9399, 9398, 9396, 9397, 9400, 9401, 9267, 9266, 9269, 9268, 9264, 9265, 9303, 9302, 9304, 9305, 9300, 9301, 9407, 9406, 9402, 9403, 9404, 9405, 9249, 9248, 9250, 9251, 9247, 9246, 9388, 9389, 9386, 9387, 9384, 9385, 9233, 9232, 9230, 9231, 9229, 9228, 9263, 9262, 9259, 9258, 9260, 9261, 9295, 9294, 9298, 9299, 9296, 9297, 9241, 9240, 9245, 9244, 9243, 9242, 9227, 9226, 9224, 9225, 9222, 9223, 9287, 9286, 9283, 9282, 9285, 9284, 9272, 9273, 9271, 9270, 9274, 9275, 9334, 9335, 9331, 9330, 9332, 9333, 9312, 9313, 9316, 9317, 9314, 9315, 9368, 9369, 9367, 9366, 9371, 9370, 9359, 9358, 9357, 9356, 9354, 9355, 9279, 9278, 9277, 9276, 9280, 9281, 9336, 9337, 9339, 9338, 9341, 9340, 9320, 9321, 9323, 9322, 9319, 9318, 9327, 9326, 9329, 9328, 9324, 9325, 9348, 9349, 9352, 9353, 9350, 9351, 9391, 9390, 9392, 9393, 9395, 9394, 9256, 9257, 9254, 9255, 9252, 9253, 9310, 9311, 9306, 9307, 9308, 9309, 11147, 11146, 11142, 11143, 11144, 11145, 11162, 11163, 11161, 11160, 11164, 11165, 11308, 11309, 11304, 11305, 11307, 11306, 11286, 11287, 11291, 11290, 11289, 11288, 11238, 11239, 11241, 11240, 11243, 11242, 11168, 11169, 11170, 11171, 11167, 11166, 11187, 11186, 11189, 11188, 11185, 11184, 11274, 11275, 11278, 11279, 11276, 11277, 11294, 11295, 11293, 11292, 11296, 11297, 11176, 11177, 11174, 11175, 11172, 11173, 11270, 11271, 11269, 11268, 11272, 11273, 11210, 11211, 11209, 11208, 11213, 11212, 11137, 11136, 11139, 11138, 11141, 11140, 11194, 11195, 11190, 11191, 11192, 11193] +private def clayworthS_fwd_c9 : Array (Fin 12096) := #[11244, 11245, 11248, 11249, 11246, 11247, 11157, 11156, 11159, 11158, 11155, 11154, 11222, 11223, 11220, 11221, 11224, 11225, 11265, 11264, 11267, 11266, 11262, 11263, 11178, 11179, 11182, 11183, 11180, 11181, 11230, 11231, 11226, 11227, 11228, 11229, 11251, 11250, 11253, 11252, 11255, 11254, 11303, 11302, 11299, 11298, 11300, 11301, 11284, 11285, 11282, 11283, 11280, 11281, 11232, 11233, 11234, 11235, 11236, 11237, 11148, 11149, 11153, 11152, 11150, 11151, 11257, 11256, 11261, 11260, 11258, 11259, 11312, 11313, 11315, 11314, 11311, 11310, 11196, 11197, 11200, 11201, 11198, 11199, 11319, 11318, 11316, 11317, 11320, 11321, 11214, 11215, 11217, 11216, 11218, 11219, 11207, 11206, 11205, 11204, 11203, 11202, 11327, 11326, 11325, 11324, 11323, 11322, 4048, 4049, 4044, 4045, 4046, 4047, 4068, 4069, 4072, 4073, 4070, 4071, 4145, 4144, 4143, 4142, 4141, 4140, 4188, 4189, 4192, 4193, 4190, 4191, 4057, 4056, 4059, 4058, 4060, 4061, 4202, 4203, 4204, 4205, 4200, 4201, 4175, 4174, 4172, 4173, 4170, 4171, 4198, 4199, 4197, 4196, 4194, 4195, 4034, 4035, 4032, 4033, 4036, 4037, 4106, 4107, 4104, 4105, 4108, 4109, 4219, 4218, 4221, 4220, 4222, 4223, 4084, 4085, 4082, 4083, 4080, 4081, 4066, 4067, 4065, 4064, 4063, 4062, 4186, 4187, 4183, 4182, 4184, 4185, 4094, 4095, 4092, 4093, 4096, 4097, 4039, 4038, 4041, 4040, 4043, 4042, 4135, 4134, 4136, 4137, 4138, 4139, 4077, 4076, 4074, 4075, 4079, 4078, 4111, 4110, 4113, 4112, 4115, 4114, 4156, 4157, 4155, 4154, 4153, 4152, 4119, 4118, 4116, 4117, 4121, 4120, 4131, 4130, 4129, 4128, 4133, 4132, 4123, 4122, 4127, 4126, 4124, 4125, 4161, 4160, 4163, 4162, 4159, 4158, 4207, 4206, 4209, 4208, 4210, 4211, 4054, 4055, 4052, 4053, 4051, 4050, 4164, 4165, 4166, 4167, 4169, 4168, 4086, 4087, 4088, 4089, 4090, 4091, 4178, 4179, 4176, 4177, 4181, 4180, 4101, 4100, 4103, 4102, 4098, 4099, 4147, 4146, 4150, 4151, 4149, 4148, 4216, 4217, 4214, 4215, 4212, 4213, 10032, 10033, 10035, 10034, 10036, 10037, 10006, 10007, 10003, 10002, 10004, 10005, 9999, 9998, 9996, 9997, 10000, 10001, 10117, 10116, 10120, 10121, 10119, 10118, 10163, 10162, 10159, 10158, 10161, 10160, 9984, 9985, 9989, 9988, 9986, 9987, 10175, 10174, 10171, 10170, 10173, 10172, 10074, 10075, 10079, 10078, 10077, 10076, 10106, 10107, 10108, 10109, 10104, 10105, 10039, 10038, 10040, 10041, 10042, 10043, 10049, 10048, 10046, 10047, 10045, 10044, 10147, 10146, 10149, 10148, 10151, 10150, 10062, 10063, 10066, 10067, 10064, 10065, 10130, 10131, 10128, 10129, 10132, 10133, 10052, 10053, 10054, 10055, 10051, 10050, 10014, 10015, 10018, 10019, 10017, 10016, 10031, 10030, 10027, 10026, 10029, 10028, 10082, 10083, 10085, 10084, 10080, 10081, 10138, 10139, 10135, 10134, 10136, 10137, 10022, 10023, 10021, 10020, 10025, 10024, 10087, 10086, 10089, 10088, 10090, 10091, 10009, 10008, 10012, 10013, 10011, 10010, 10154, 10155, 10157, 10156, 10153, 10152, 10098, 10099, 10102, 10103, 10100, 10101, 10092, 10093, 10097, 10096, 10095, 10094, 10145, 10144, 10140, 10141, 10142, 10143, 10112, 10113, 10114, 10115, 10110, 10111, 9991, 9990, 9993, 9992, 9994, 9995, 10124, 10125, 10126, 10127, 10123, 10122, 10058, 10059, 10061, 10060, 10057, 10056, 10169, 10168, 10166, 10167, 10164, 10165, 10071, 10070, 10073, 10072, 10068, 10069, 9830, 9831, 9828, 9829, 9833, 9832, 9851, 9850] +private def clayworthS_fwd_c10 : Array (Fin 12096) := #[9847, 9846, 9848, 9849, 9967, 9966, 9971, 9970, 9969, 9968, 9957, 9956, 9959, 9958, 9955, 9954, 9806, 9807, 9804, 9805, 9808, 9809, 9927, 9926, 9929, 9928, 9925, 9924, 9940, 9941, 9938, 9939, 9936, 9937, 9900, 9901, 9903, 9902, 9905, 9904, 9792, 9793, 9795, 9794, 9796, 9797, 9839, 9838, 9835, 9834, 9836, 9837, 9983, 9982, 9979, 9978, 9981, 9980, 9976, 9977, 9973, 9972, 9974, 9975, 9844, 9845, 9841, 9840, 9842, 9843, 9949, 9948, 9951, 9950, 9952, 9953, 9933, 9932, 9931, 9930, 9934, 9935, 9862, 9863, 9861, 9860, 9858, 9859, 9906, 9907, 9908, 9909, 9911, 9910, 9820, 9821, 9819, 9818, 9816, 9817, 9852, 9853, 9855, 9854, 9857, 9856, 9899, 9898, 9894, 9895, 9897, 9896, 9825, 9824, 9823, 9822, 9826, 9827, 9883, 9882, 9884, 9885, 9887, 9886, 9815, 9814, 9812, 9813, 9811, 9810, 9918, 9919, 9921, 9920, 9922, 9923, 9962, 9963, 9960, 9961, 9964, 9965, 9888, 9889, 9891, 9890, 9893, 9892, 9800, 9801, 9802, 9803, 9798, 9799, 9865, 9864, 9868, 9869, 9867, 9866, 9943, 9942, 9946, 9947, 9945, 9944, 9876, 9877, 9878, 9879, 9880, 9881, 9872, 9873, 9875, 9874, 9871, 9870, 9912, 9913, 9914, 9915, 9916, 9917, 2506, 2507, 2503, 2502, 2504, 2505, 2553, 2552, 2551, 2550, 2555, 2554, 2521, 2520, 2522, 2523, 2524, 2525, 2644, 2645, 2641, 2640, 2642, 2643, 2519, 2518, 2515, 2514, 2517, 2516, 2659, 2658, 2660, 2661, 2663, 2662, 2582, 2583, 2580, 2581, 2584, 2585, 2561, 2560, 2558, 2559, 2556, 2557, 2687, 2686, 2683, 2682, 2685, 2684, 2570, 2571, 2572, 2573, 2568, 2569, 2635, 2634, 2636, 2637, 2639, 2638, 2674, 2675, 2672, 2673, 2670, 2671, 2577, 2576, 2574, 2575, 2579, 2578, 2649, 2648, 2650, 2651, 2646, 2647, 2630, 2631, 2628, 2629, 2633, 2632, 2496, 2497, 2499, 2498, 2500, 2501, 2537, 2536, 2534, 2535, 2533, 2532, 2566, 2567, 2565, 2564, 2563, 2562, 2547, 2546, 2544, 2545, 2548, 2549, 2596, 2597, 2593, 2592, 2594, 2595, 2540, 2541, 2538, 2539, 2542, 2543, 2529, 2528, 2530, 2531, 2526, 2527, 2653, 2652, 2655, 2654, 2656, 2657, 2587, 2586, 2591, 2590, 2588, 2589, 2620, 2621, 2617, 2616, 2619, 2618, 2509, 2508, 2512, 2513, 2511, 2510, 2604, 2605, 2607, 2606, 2609, 2608, 2667, 2666, 2669, 2668, 2664, 2665, 2612, 2613, 2615, 2614, 2610, 2611, 2624, 2625, 2627, 2626, 2623, 2622, 2680, 2681, 2677, 2676, 2678, 2679, 2600, 2601, 2602, 2603, 2598, 2599, 9085, 9084, 9089, 9088, 9086, 9087, 9059, 9058, 9054, 9055, 9057, 9056, 9154, 9155, 9152, 9153, 9150, 9151, 9192, 9193, 9196, 9197, 9194, 9195, 9051, 9050, 9049, 9048, 9052, 9053, 9166, 9167, 9162, 9163, 9164, 9165, 9179, 9178, 9177, 9176, 9174, 9175, 9173, 9172, 9171, 9170, 9169, 9168, 9024, 9025, 9026, 9027, 9028, 9029, 9147, 9146, 9144, 9145, 9149, 9148, 9075, 9074, 9077, 9076, 9072, 9073, 9101, 9100, 9099, 9098, 9097, 9096, 9204, 9205, 9208, 9209, 9207, 9206, 9114, 9115, 9119, 9118, 9116, 9117, 9187, 9186, 9191, 9190, 9189, 9188, 9183, 9182, 9184, 9185, 9181, 9180, 9082, 9083, 9081, 9080, 9078, 9079, 9121, 9120, 9124, 9125, 9122, 9123, 9030, 9031, 9033, 9032, 9035, 9034, 9090, 9091, 9092, 9093, 9094, 9095, 9068, 9069, 9066, 9067] +private def clayworthS_fwd_c11 : Array (Fin 12096) := #[9070, 9071, 9143, 9142, 9139, 9138, 9141, 9140, 9132, 9133, 9134, 9135, 9137, 9136, 9060, 9061, 9065, 9064, 9063, 9062, 9037, 9036, 9041, 9040, 9039, 9038, 9156, 9157, 9159, 9158, 9161, 9160, 9199, 9198, 9203, 9202, 9201, 9200, 9045, 9044, 9047, 9046, 9042, 9043, 9104, 9105, 9106, 9107, 9103, 9102, 9215, 9214, 9211, 9210, 9213, 9212, 9128, 9129, 9130, 9131, 9126, 9127, 9111, 9110, 9112, 9113, 9108, 9109, 4228, 4229, 4226, 4227, 4224, 4225, 4256, 4257, 4255, 4254, 4259, 4258, 4237, 4236, 4239, 4238, 4241, 4240, 4379, 4378, 4375, 4374, 4377, 4376, 4348, 4349, 4344, 4345, 4346, 4347, 4355, 4354, 4350, 4351, 4352, 4353, 4390, 4391, 4389, 4388, 4387, 4386, 4413, 4412, 4411, 4410, 4415, 4414, 4317, 4316, 4314, 4315, 4319, 4318, 4277, 4276, 4274, 4275, 4272, 4273, 4369, 4368, 4372, 4373, 4371, 4370, 4403, 4402, 4399, 4398, 4400, 4401, 4294, 4295, 4292, 4293, 4290, 4291, 4382, 4383, 4384, 4385, 4380, 4381, 4365, 4364, 4366, 4367, 4362, 4363, 4282, 4283, 4278, 4279, 4281, 4280, 4269, 4268, 4266, 4267, 4270, 4271, 4250, 4251, 4248, 4249, 4252, 4253, 4263, 4262, 4261, 4260, 4264, 4265, 4336, 4337, 4332, 4333, 4334, 4335, 4305, 4304, 4303, 4302, 4307, 4306, 4243, 4242, 4246, 4247, 4245, 4244, 4326, 4327, 4328, 4329, 4331, 4330, 4310, 4311, 4308, 4309, 4312, 4313, 4341, 4340, 4342, 4343, 4338, 4339, 4396, 4397, 4393, 4392, 4394, 4395, 4230, 4231, 4235, 4234, 4232, 4233, 4358, 4359, 4356, 4357, 4360, 4361, 4299, 4298, 4300, 4301, 4297, 4296, 4285, 4284, 4289, 4288, 4287, 4286, 4325, 4324, 4321, 4320, 4323, 4322, 4409, 4408, 4407, 4406, 4405, 4404, 7876, 7877, 7872, 7873, 7874, 7875, 7914, 7915, 7919, 7918, 7916, 7917, 7937, 7936, 7933, 7932, 7935, 7934, 7899, 7898, 7897, 7896, 7901, 7900, 7972, 7973, 7969, 7968, 7970, 7971, 8041, 8040, 8044, 8045, 8042, 8043, 7893, 7892, 7891, 7890, 7895, 7894, 7986, 7987, 7990, 7991, 7988, 7989, 8008, 8009, 8004, 8005, 8006, 8007, 8048, 8049, 8047, 8046, 8051, 8050, 7950, 7951, 7954, 7955, 7953, 7952, 7925, 7924, 7921, 7920, 7923, 7922, 8059, 8058, 8063, 8062, 8061, 8060, 8032, 8033, 8028, 8029, 8030, 8031, 8025, 8024, 8026, 8027, 8023, 8022, 7943, 7942, 7941, 7940, 7938, 7939, 7963, 7962, 7965, 7964, 7966, 7967, 7912, 7913, 7908, 7909, 7910, 7911, 8002, 8003, 8001, 8000, 7999, 7998, 7930, 7931, 7926, 7927, 7929, 7928, 7904, 7905, 7906, 7907, 7902, 7903, 7985, 7984, 7980, 7981, 7982, 7983, 8038, 8039, 8034, 8035, 8036, 8037, 8020, 8021, 8016, 8017, 8018, 8019, 7957, 7956, 7961, 7960, 7959, 7958, 7881, 7880, 7879, 7878, 7882, 7883, 8053, 8052, 8057, 8056, 8055, 8054, 7884, 7885, 7888, 7889, 7886, 7887, 7995, 7994, 7996, 7997, 7992, 7993, 7946, 7947, 7948, 7949, 7944, 7945, 8012, 8013, 8014, 8015, 8010, 8011, 7975, 7974, 7978, 7979, 7976, 7977, 266, 267, 268, 269, 265, 264, 294, 295, 298, 299, 297, 296, 312, 313, 316, 317, 314, 315, 352, 353, 348, 349, 350, 351, 347, 346, 345, 344, 343, 342, 194, 195, 193, 192, 196, 197, 227, 226, 224, 225, 223, 222, 382, 383, 378, 379, 380, 381] +private def clayworthS_fwd_c12 : Array (Fin 12096) := #[365, 364, 363, 362, 361, 360, 247, 246, 251, 250, 249, 248, 232, 233, 231, 230, 228, 229, 339, 338, 337, 336, 340, 341, 288, 289, 290, 291, 292, 293, 210, 211, 213, 212, 215, 214, 218, 219, 216, 217, 221, 220, 287, 286, 282, 283, 285, 284, 260, 261, 259, 258, 263, 262, 329, 328, 325, 324, 327, 326, 234, 235, 238, 239, 237, 236, 274, 275, 270, 271, 272, 273, 209, 208, 207, 206, 205, 204, 307, 306, 309, 308, 310, 311, 278, 279, 276, 277, 281, 280, 330, 331, 334, 335, 332, 333, 199, 198, 203, 202, 200, 201, 354, 355, 359, 358, 356, 357, 323, 322, 321, 320, 318, 319, 369, 368, 367, 366, 370, 371, 254, 255, 256, 257, 252, 253, 243, 242, 244, 245, 240, 241, 301, 300, 305, 304, 302, 303, 376, 377, 374, 375, 372, 373, 3467, 3466, 3465, 3464, 3463, 3462, 3487, 3486, 3489, 3488, 3491, 3490, 3508, 3509, 3504, 3505, 3507, 3506, 3579, 3578, 3581, 3580, 3577, 3576, 3628, 3629, 3624, 3625, 3626, 3627, 3456, 3457, 3458, 3459, 3461, 3460, 3563, 3562, 3560, 3561, 3559, 3558, 3494, 3495, 3496, 3497, 3493, 3492, 3518, 3519, 3521, 3520, 3517, 3516, 3634, 3635, 3630, 3631, 3632, 3633, 3615, 3614, 3616, 3617, 3612, 3613, 3609, 3608, 3610, 3611, 3606, 3607, 3530, 3531, 3528, 3529, 3533, 3532, 3587, 3586, 3582, 3583, 3585, 3584, 3552, 3553, 3555, 3554, 3556, 3557, 3515, 3514, 3510, 3511, 3512, 3513, 3536, 3537, 3538, 3539, 3534, 3535, 3591, 3590, 3593, 3592, 3589, 3588, 3499, 3498, 3503, 3502, 3501, 3500, 3574, 3575, 3570, 3571, 3572, 3573, 3484, 3485, 3481, 3480, 3482, 3483, 3620, 3621, 3619, 3618, 3623, 3622, 3547, 3546, 3551, 3550, 3549, 3548, 3541, 3540, 3544, 3545, 3542, 3543, 3598, 3599, 3594, 3595, 3597, 3596, 3468, 3469, 3472, 3473, 3470, 3471, 3478, 3479, 3474, 3475, 3476, 3477, 3602, 3603, 3604, 3605, 3600, 3601, 3638, 3639, 3636, 3637, 3641, 3640, 3522, 3523, 3526, 3527, 3525, 3524, 3564, 3565, 3567, 3566, 3569, 3568, 3646, 3647, 3645, 3644, 3642, 3643, 6159, 6158, 6160, 6161, 6157, 6156, 6177, 6176, 6179, 6178, 6174, 6175, 6215, 6214, 6212, 6213, 6210, 6211, 6304, 6305, 6300, 6301, 6303, 6302, 6289, 6288, 6293, 6292, 6290, 6291, 6247, 6246, 6250, 6251, 6248, 6249, 6147, 6146, 6144, 6145, 6148, 6149, 6327, 6326, 6328, 6329, 6325, 6324, 6232, 6233, 6229, 6228, 6230, 6231, 6172, 6173, 6169, 6168, 6171, 6170, 6334, 6335, 6330, 6331, 6332, 6333, 6277, 6276, 6280, 6281, 6278, 6279, 6316, 6317, 6314, 6315, 6312, 6313, 6193, 6192, 6194, 6195, 6196, 6197, 6298, 6299, 6297, 6296, 6294, 6295, 6263, 6262, 6259, 6258, 6260, 6261, 6150, 6151, 6152, 6153, 6154, 6155, 6184, 6185, 6182, 6183, 6181, 6180, 6227, 6226, 6223, 6222, 6224, 6225, 6209, 6208, 6205, 6204, 6207, 6206, 6268, 6269, 6264, 6265, 6266, 6267, 6166, 6167, 6163, 6162, 6165, 6164, 6282, 6283, 6286, 6287, 6285, 6284, 6218, 6219, 6217, 6216, 6221, 6220, 6242, 6243, 6244, 6245, 6240, 6241, 6307, 6306, 6310, 6311, 6309, 6308, 6257, 6256, 6255, 6254, 6253, 6252, 6186, 6187] +private def clayworthS_fwd_c13 : Array (Fin 12096) := #[6191, 6190, 6188, 6189, 6273, 6272, 6275, 6274, 6271, 6270, 6201, 6200, 6202, 6203, 6198, 6199, 6234, 6235, 6237, 6236, 6239, 6238, 6322, 6323, 6320, 6321, 6318, 6319, 1574, 1575, 1573, 1572, 1577, 1576, 1600, 1601, 1598, 1599, 1597, 1596, 1628, 1629, 1627, 1626, 1631, 1630, 1549, 1548, 1553, 1552, 1550, 1551, 1692, 1693, 1697, 1696, 1694, 1695, 1679, 1678, 1674, 1675, 1677, 1676, 1667, 1666, 1664, 1665, 1662, 1663, 1708, 1709, 1705, 1704, 1706, 1707, 1699, 1698, 1701, 1700, 1702, 1703, 1537, 1536, 1540, 1541, 1539, 1538, 1720, 1721, 1717, 1716, 1718, 1719, 1619, 1618, 1615, 1614, 1616, 1617, 1581, 1580, 1583, 1582, 1579, 1578, 1726, 1727, 1722, 1723, 1725, 1724, 1612, 1613, 1610, 1611, 1608, 1609, 1687, 1686, 1688, 1689, 1690, 1691, 1684, 1685, 1683, 1682, 1680, 1681, 1588, 1589, 1587, 1586, 1585, 1584, 1543, 1542, 1545, 1544, 1546, 1547, 1603, 1602, 1605, 1604, 1607, 1606, 1571, 1570, 1569, 1568, 1566, 1567, 1649, 1648, 1645, 1644, 1647, 1646, 1622, 1623, 1620, 1621, 1624, 1625, 1590, 1591, 1592, 1593, 1594, 1595, 1661, 1660, 1659, 1658, 1656, 1657, 1562, 1563, 1565, 1564, 1560, 1561, 1635, 1634, 1632, 1633, 1637, 1636, 1557, 1556, 1559, 1558, 1555, 1554, 1654, 1655, 1651, 1650, 1652, 1653, 1670, 1671, 1672, 1673, 1668, 1669, 1641, 1640, 1639, 1638, 1642, 1643, 1715, 1714, 1713, 1712, 1710, 1711, 3111, 3110, 3108, 3109, 3113, 3112, 3121, 3120, 3125, 3124, 3123, 3122, 3175, 3174, 3179, 3178, 3177, 3176, 3231, 3230, 3233, 3232, 3229, 3228, 3214, 3215, 3210, 3211, 3213, 3212, 3249, 3248, 3247, 3246, 3251, 3250, 3208, 3209, 3206, 3207, 3205, 3204, 3073, 3072, 3074, 3075, 3077, 3076, 3255, 3254, 3252, 3253, 3257, 3256, 3173, 3172, 3168, 3169, 3171, 3170, 3259, 3258, 3262, 3263, 3260, 3261, 3131, 3130, 3129, 3128, 3127, 3126, 3223, 3222, 3225, 3224, 3227, 3226, 3145, 3144, 3148, 3149, 3147, 3146, 3237, 3236, 3238, 3239, 3235, 3234, 3119, 3118, 3116, 3117, 3115, 3114, 3216, 3217, 3218, 3219, 3220, 3221, 3154, 3155, 3150, 3151, 3153, 3152, 3134, 3135, 3136, 3137, 3133, 3132, 3091, 3090, 3095, 3094, 3093, 3092, 3104, 3105, 3102, 3103, 3107, 3106, 3157, 3156, 3158, 3159, 3161, 3160, 3198, 3199, 3200, 3201, 3202, 3203, 3197, 3196, 3195, 3194, 3192, 3193, 3098, 3099, 3097, 3096, 3101, 3100, 3087, 3086, 3089, 3088, 3085, 3084, 3187, 3186, 3189, 3188, 3190, 3191, 3243, 3242, 3240, 3241, 3245, 3244, 3165, 3164, 3167, 3166, 3163, 3162, 3079, 3078, 3083, 3082, 3080, 3081, 3139, 3138, 3141, 3140, 3142, 3143, 3181, 3180, 3182, 3183, 3184, 3185, 1950, 1951, 1954, 1955, 1953, 1952, 1973, 1972, 1971, 1970, 1969, 1968, 1993, 1992, 1996, 1997, 1994, 1995, 1943, 1942, 1938, 1939, 1940, 1941, 2070, 2071, 2074, 2075, 2073, 2072, 1934, 1935, 1933, 1932, 1937, 1936, 2050, 2051, 2049, 2048, 2046, 2047, 2079, 2078, 2076, 2077, 2080, 2081, 2108, 2109, 2106, 2107, 2110, 2111, 1958, 1959, 1960, 1961, 1957, 1956, 2058, 2059, 2062, 2063, 2061, 2060, 2093, 2092, 2091, 2090, 2089, 2088, 2065, 2064, 2067, 2066, 2069, 2068, 1967, 1966, 1964, 1965, 1962, 1963, 2054, 2055, 2052, 2053] +private def clayworthS_fwd_c14 : Array (Fin 12096) := #[2056, 2057, 1990, 1991, 1986, 1987, 1988, 1989, 2038, 2039, 2034, 2035, 2036, 2037, 1920, 1921, 1922, 1923, 1925, 1924, 1946, 1947, 1945, 1944, 1949, 1948, 1974, 1975, 1979, 1978, 1976, 1977, 2045, 2044, 2040, 2041, 2043, 2042, 2026, 2027, 2024, 2025, 2023, 2022, 2017, 2016, 2019, 2018, 2020, 2021, 2007, 2006, 2008, 2009, 2004, 2005, 2001, 2000, 2002, 2003, 1999, 1998, 1926, 1927, 1930, 1931, 1929, 1928, 2085, 2084, 2087, 2086, 2083, 2082, 2032, 2033, 2030, 2031, 2028, 2029, 1983, 1982, 1985, 1984, 1980, 1981, 2098, 2099, 2095, 2094, 2096, 2097, 2015, 2014, 2010, 2011, 2013, 2012, 2105, 2104, 2100, 2101, 2103, 2102, 5774, 5775, 5776, 5777, 5772, 5773, 5849, 5848, 5846, 5847, 5844, 5845, 5793, 5792, 5795, 5794, 5790, 5791, 5923, 5922, 5924, 5925, 5926, 5927, 5786, 5787, 5784, 5785, 5789, 5788, 5869, 5868, 5872, 5873, 5870, 5871, 5890, 5891, 5888, 5889, 5886, 5887, 5936, 5937, 5935, 5934, 5939, 5938, 5928, 5929, 5930, 5931, 5932, 5933, 5761, 5760, 5763, 5762, 5764, 5765, 5946, 5947, 5950, 5951, 5949, 5948, 5860, 5861, 5857, 5856, 5859, 5858, 5823, 5822, 5824, 5825, 5820, 5821, 5905, 5904, 5907, 5906, 5909, 5908, 5912, 5913, 5915, 5914, 5911, 5910, 5812, 5813, 5810, 5811, 5809, 5808, 5899, 5898, 5901, 5900, 5903, 5902, 5767, 5766, 5768, 5769, 5771, 5770, 5853, 5852, 5851, 5850, 5854, 5855, 5799, 5798, 5801, 5800, 5797, 5796, 5841, 5840, 5839, 5838, 5842, 5843, 5815, 5814, 5817, 5816, 5819, 5818, 5805, 5804, 5803, 5802, 5806, 5807, 5862, 5863, 5864, 5865, 5866, 5867, 5917, 5916, 5918, 5919, 5921, 5920, 5880, 5881, 5882, 5883, 5885, 5884, 5940, 5941, 5945, 5944, 5943, 5942, 5780, 5781, 5782, 5783, 5778, 5779, 5876, 5877, 5878, 5879, 5874, 5875, 5831, 5830, 5827, 5826, 5828, 5829, 5894, 5895, 5897, 5896, 5893, 5892, 5835, 5834, 5836, 5837, 5833, 5832, 4831, 4830, 4835, 4834, 4833, 4832, 4891, 4890, 4894, 4895, 4892, 4893, 4962, 4963, 4965, 4964, 4967, 4966, 4951, 4950, 4955, 4954, 4953, 4952, 4913, 4912, 4910, 4911, 4909, 4908, 4976, 4977, 4975, 4974, 4979, 4978, 4925, 4924, 4922, 4923, 4921, 4920, 4968, 4969, 4970, 4971, 4972, 4973, 4846, 4847, 4844, 4845, 4843, 4842, 4938, 4939, 4941, 4940, 4942, 4943, 4980, 4981, 4984, 4985, 4982, 4983, 4863, 4862, 4865, 4864, 4861, 4860, 4957, 4956, 4960, 4961, 4958, 4959, 4932, 4933, 4934, 4935, 4937, 4936, 4800, 4801, 4803, 4802, 4805, 4804, 4852, 4853, 4848, 4849, 4850, 4851, 4885, 4884, 4889, 4888, 4887, 4886, 4812, 4813, 4814, 4815, 4816, 4817, 4836, 4837, 4839, 4838, 4841, 4840, 4883, 4882, 4879, 4878, 4880, 4881, 4916, 4917, 4919, 4918, 4915, 4914, 4825, 4824, 4829, 4828, 4827, 4826, 4821, 4820, 4819, 4818, 4823, 4822, 4896, 4897, 4899, 4898, 4900, 4901, 4944, 4945, 4948, 4949, 4946, 4947, 4873, 4872, 4876, 4877, 4875, 4874, 4867, 4866, 4870, 4871, 4869, 4868, 4926, 4927, 4930, 4931, 4929, 4928, 4905, 4904, 4906, 4907, 4902, 4903, 4811, 4810, 4806, 4807, 4809, 4808, 4855, 4854, 4857, 4856, 4859, 4858, 4988, 4989, 4987, 4986, 4991, 4990, 8101, 8100, 8103, 8102, 8104, 8105, 8139, 8138, 8140, 8141, 8136, 8137] +private def clayworthS_fwd_c15 : Array (Fin 12096) := #[8160, 8161, 8165, 8164, 8163, 8162, 8232, 8233, 8234, 8235, 8237, 8236, 8215, 8214, 8218, 8219, 8216, 8217, 8085, 8084, 8082, 8083, 8087, 8086, 8246, 8247, 8244, 8245, 8249, 8248, 8240, 8241, 8239, 8238, 8243, 8242, 8065, 8064, 8066, 8067, 8069, 8068, 8158, 8159, 8157, 8156, 8154, 8155, 8203, 8202, 8204, 8205, 8206, 8207, 8255, 8254, 8252, 8253, 8251, 8250, 8220, 8221, 8222, 8223, 8225, 8224, 8193, 8192, 8190, 8191, 8195, 8194, 8071, 8070, 8073, 8072, 8075, 8074, 8115, 8114, 8117, 8116, 8113, 8112, 8148, 8149, 8150, 8151, 8152, 8153, 8106, 8107, 8108, 8109, 8110, 8111, 8099, 8098, 8094, 8095, 8097, 8096, 8135, 8134, 8130, 8131, 8133, 8132, 8176, 8177, 8173, 8172, 8175, 8174, 8143, 8142, 8144, 8145, 8146, 8147, 8092, 8093, 8090, 8091, 8088, 8089, 8229, 8228, 8231, 8230, 8226, 8227, 8213, 8212, 8210, 8211, 8208, 8209, 8196, 8197, 8198, 8199, 8201, 8200, 8077, 8076, 8081, 8080, 8078, 8079, 8178, 8179, 8182, 8183, 8181, 8180, 8189, 8188, 8186, 8187, 8184, 8185, 8118, 8119, 8121, 8120, 8122, 8123, 8128, 8129, 8124, 8125, 8127, 8126, 8167, 8166, 8171, 8170, 8168, 8169, 2699, 2698, 2695, 2694, 2697, 2696, 2721, 2720, 2718, 2719, 2723, 2722, 2785, 2784, 2789, 2788, 2787, 2786, 2845, 2844, 2848, 2849, 2846, 2847, 2809, 2808, 2813, 2812, 2810, 2811, 2837, 2836, 2835, 2834, 2832, 2833, 2778, 2779, 2780, 2781, 2783, 2782, 2860, 2861, 2856, 2857, 2858, 2859, 2830, 2831, 2828, 2829, 2826, 2827, 2850, 2851, 2853, 2852, 2854, 2855, 2754, 2755, 2758, 2759, 2757, 2756, 2729, 2728, 2727, 2726, 2724, 2725, 2734, 2735, 2732, 2733, 2730, 2731, 2870, 2871, 2868, 2869, 2872, 2873, 2751, 2750, 2748, 2749, 2753, 2752, 2824, 2825, 2820, 2821, 2823, 2822, 2688, 2689, 2690, 2691, 2693, 2692, 2741, 2740, 2737, 2736, 2739, 2738, 2706, 2707, 2708, 2709, 2710, 2711, 2777, 2776, 2773, 2772, 2775, 2774, 2765, 2764, 2761, 2760, 2763, 2762, 2801, 2800, 2796, 2797, 2798, 2799, 2715, 2714, 2716, 2717, 2712, 2713, 2704, 2705, 2703, 2702, 2701, 2700, 2794, 2795, 2791, 2790, 2793, 2792, 2841, 2840, 2838, 2839, 2843, 2842, 2766, 2767, 2768, 2769, 2770, 2771, 2805, 2804, 2806, 2807, 2802, 2803, 2862, 2863, 2867, 2866, 2865, 2864, 2818, 2819, 2816, 2817, 2815, 2814, 2742, 2743, 2747, 2746, 2745, 2744, 2879, 2878, 2877, 2876, 2875, 2874, 7161, 7160, 7162, 7163, 7159, 7158, 7189, 7188, 7192, 7193, 7191, 7190, 7123, 7122, 7126, 7127, 7124, 7125, 7218, 7219, 7222, 7223, 7220, 7221, 7267, 7266, 7271, 7270, 7269, 7268, 7259, 7258, 7254, 7255, 7256, 7257, 7244, 7245, 7246, 7247, 7242, 7243, 7207, 7206, 7211, 7210, 7209, 7208, 7283, 7282, 7278, 7279, 7280, 7281, 7272, 7273, 7275, 7274, 7276, 7277, 7105, 7104, 7107, 7106, 7109, 7108, 7216, 7217, 7212, 7213, 7214, 7215, 7151, 7150, 7149, 7148, 7146, 7147, 7180, 7181, 7179, 7178, 7177, 7176, 7182, 7183, 7186, 7187, 7184, 7185, 7172, 7173, 7174, 7175, 7170, 7171, 7129, 7128, 7133, 7132, 7130, 7131, 7165, 7164, 7166, 7167, 7169, 7168, 7142, 7143, 7140, 7141, 7145, 7144, 7239, 7238, 7240, 7241, 7237, 7236, 7156, 7157, 7153, 7152, 7154, 7155, 7137, 7136] +private def clayworthS_fwd_c16 : Array (Fin 12096) := #[7139, 7138, 7135, 7134, 7196, 7197, 7194, 7195, 7199, 7198, 7263, 7262, 7260, 7261, 7265, 7264, 7203, 7202, 7205, 7204, 7201, 7200, 7110, 7111, 7115, 7114, 7112, 7113, 7225, 7224, 7228, 7229, 7227, 7226, 7284, 7285, 7287, 7286, 7289, 7288, 7121, 7120, 7119, 7118, 7117, 7116, 7232, 7233, 7231, 7230, 7234, 7235, 7248, 7249, 7252, 7253, 7251, 7250, 7294, 7295, 7293, 7292, 7290, 7291, 1733, 1732, 1728, 1729, 1731, 1730, 1754, 1755, 1753, 1752, 1757, 1756, 1804, 1805, 1803, 1802, 1800, 1801, 1843, 1842, 1847, 1846, 1845, 1844, 1881, 1880, 1882, 1883, 1878, 1879, 1874, 1875, 1876, 1877, 1873, 1872, 1825, 1824, 1827, 1826, 1828, 1829, 1909, 1908, 1913, 1912, 1910, 1911, 1840, 1841, 1837, 1836, 1839, 1838, 1760, 1761, 1763, 1762, 1758, 1759, 1919, 1918, 1915, 1914, 1917, 1916, 1893, 1892, 1895, 1894, 1890, 1891, 1888, 1889, 1887, 1886, 1885, 1884, 1768, 1769, 1766, 1767, 1764, 1765, 1787, 1786, 1782, 1783, 1784, 1785, 1831, 1830, 1832, 1833, 1835, 1834, 1747, 1746, 1750, 1751, 1748, 1749, 1780, 1781, 1779, 1778, 1777, 1776, 1823, 1822, 1819, 1818, 1820, 1821, 1795, 1794, 1797, 1796, 1799, 1798, 1770, 1771, 1772, 1773, 1775, 1774, 1853, 1852, 1851, 1850, 1849, 1848, 1745, 1744, 1743, 1742, 1740, 1741, 1813, 1812, 1816, 1817, 1814, 1815, 1808, 1809, 1806, 1807, 1811, 1810, 1871, 1870, 1866, 1867, 1869, 1868, 1857, 1856, 1859, 1858, 1855, 1854, 1899, 1898, 1896, 1897, 1901, 1900, 1735, 1734, 1736, 1737, 1738, 1739, 1863, 1862, 1861, 1860, 1864, 1865, 1789, 1788, 1792, 1793, 1790, 1791, 1905, 1904, 1903, 1902, 1906, 1907, 5265, 5264, 5262, 5263, 5267, 5266, 5281, 5280, 5285, 5284, 5283, 5282, 5329, 5328, 5333, 5332, 5331, 5330, 5274, 5275, 5276, 5277, 5278, 5279, 5356, 5357, 5355, 5354, 5352, 5353, 5187, 5186, 5184, 5185, 5189, 5188, 5374, 5375, 5371, 5370, 5372, 5373, 5261, 5260, 5257, 5256, 5258, 5259, 5215, 5214, 5216, 5217, 5219, 5218, 5224, 5225, 5223, 5222, 5220, 5221, 5368, 5369, 5364, 5365, 5366, 5367, 5243, 5242, 5238, 5239, 5241, 5240, 5341, 5340, 5343, 5342, 5344, 5345, 5339, 5338, 5336, 5337, 5335, 5334, 5245, 5244, 5249, 5248, 5247, 5246, 5190, 5191, 5192, 5193, 5194, 5195, 5209, 5208, 5213, 5212, 5210, 5211, 5309, 5308, 5306, 5307, 5304, 5305, 5302, 5303, 5298, 5299, 5301, 5300, 5206, 5207, 5205, 5204, 5202, 5203, 5292, 5293, 5297, 5296, 5294, 5295, 5350, 5351, 5346, 5347, 5348, 5349, 5327, 5326, 5324, 5325, 5322, 5323, 5268, 5269, 5270, 5271, 5273, 5272, 5310, 5311, 5314, 5315, 5312, 5313, 5359, 5358, 5361, 5360, 5363, 5362, 5197, 5196, 5200, 5201, 5199, 5198, 5226, 5227, 5231, 5230, 5228, 5229, 5316, 5317, 5320, 5321, 5318, 5319, 5254, 5255, 5250, 5251, 5252, 5253, 5237, 5236, 5232, 5233, 5235, 5234, 5286, 5287, 5291, 5290, 5289, 5288, 1371, 1370, 1369, 1368, 1373, 1372, 1419, 1418, 1416, 1417, 1420, 1421, 1351, 1350, 1352, 1353, 1354, 1355, 1441, 1440, 1444, 1445, 1443, 1442, 1519, 1518, 1522, 1523, 1520, 1521, 1499, 1498, 1494, 1495, 1497, 1496, 1463, 1462, 1458, 1459, 1460, 1461, 1481, 1480, 1476, 1477, 1478, 1479, 1411, 1410, 1413, 1412] +private def clayworthS_fwd_c17 : Array (Fin 12096) := #[1415, 1414, 1436, 1437, 1439, 1438, 1434, 1435, 1531, 1530, 1535, 1534, 1532, 1533, 1507, 1506, 1510, 1511, 1509, 1508, 1505, 1504, 1503, 1502, 1500, 1501, 1378, 1379, 1375, 1374, 1376, 1377, 1489, 1488, 1490, 1491, 1493, 1492, 1399, 1398, 1400, 1401, 1403, 1402, 1466, 1467, 1464, 1465, 1468, 1469, 1345, 1344, 1347, 1346, 1349, 1348, 1357, 1356, 1361, 1360, 1359, 1358, 1387, 1386, 1389, 1388, 1391, 1390, 1474, 1475, 1470, 1471, 1472, 1473, 1385, 1384, 1381, 1380, 1382, 1383, 1365, 1364, 1362, 1363, 1367, 1366, 1422, 1423, 1425, 1424, 1426, 1427, 1514, 1515, 1513, 1512, 1516, 1517, 1428, 1429, 1430, 1431, 1433, 1432, 1483, 1482, 1484, 1485, 1487, 1486, 1454, 1455, 1457, 1456, 1453, 1452, 1525, 1524, 1529, 1528, 1526, 1527, 1406, 1407, 1408, 1409, 1404, 1405, 1395, 1394, 1396, 1397, 1392, 1393, 1449, 1448, 1446, 1447, 1451, 1450, 6923, 6922, 6920, 6921, 6918, 6919, 6939, 6938, 6936, 6937, 6941, 6940, 7020, 7021, 7022, 7023, 7024, 7025, 7036, 7037, 7034, 7035, 7033, 7032, 7048, 7049, 7047, 7046, 7044, 7045, 7014, 7015, 7016, 7017, 7018, 7019, 7082, 7083, 7080, 7081, 7084, 7085, 7079, 7078, 7077, 7076, 7074, 7075, 7094, 7095, 7093, 7092, 7096, 7097, 7103, 7102, 7099, 7098, 7100, 7101, 7050, 7051, 7052, 7053, 7054, 7055, 7091, 7090, 7087, 7086, 7089, 7088, 7064, 7065, 7062, 7063, 7067, 7066, 6976, 6977, 6972, 6973, 6975, 6974, 7040, 7041, 7038, 7039, 7043, 7042, 6913, 6912, 6915, 6914, 6916, 6917, 6943, 6942, 6944, 6945, 6946, 6947, 6962, 6963, 6961, 6960, 6965, 6964, 6952, 6953, 6951, 6950, 6949, 6948, 7012, 7013, 7008, 7009, 7010, 7011, 6989, 6988, 6984, 6985, 6986, 6987, 6955, 6954, 6956, 6957, 6959, 6958, 6990, 6991, 6992, 6993, 6995, 6994, 7073, 7072, 7069, 7068, 7070, 7071, 7060, 7061, 7057, 7056, 7059, 7058, 7004, 7005, 7006, 7007, 7003, 7002, 6996, 6997, 6998, 6999, 7000, 7001, 6926, 6927, 6925, 6924, 6928, 6929, 6933, 6932, 6931, 6930, 6935, 6934, 6970, 6971, 6966, 6967, 6968, 6969, 6982, 6983, 6978, 6979, 6981, 6980, 7030, 7031, 7027, 7026, 7028, 7029, 10191, 10190, 10193, 10192, 10188, 10189, 10345, 10344, 10348, 10349, 10347, 10346, 10273, 10272, 10275, 10274, 10277, 10276, 10352, 10353, 10350, 10351, 10354, 10355, 10318, 10319, 10317, 10316, 10314, 10315, 10176, 10177, 10178, 10179, 10181, 10180, 10243, 10242, 10246, 10247, 10245, 10244, 10283, 10282, 10281, 10280, 10278, 10279, 10220, 10221, 10222, 10223, 10218, 10219, 10332, 10333, 10335, 10334, 10337, 10336, 10365, 10364, 10363, 10362, 10366, 10367, 10340, 10341, 10338, 10339, 10342, 10343, 10205, 10204, 10203, 10202, 10200, 10201, 10304, 10305, 10302, 10303, 10306, 10307, 10226, 10227, 10229, 10228, 10225, 10224, 10212, 10213, 10215, 10214, 10217, 10216, 10270, 10271, 10267, 10266, 10269, 10268, 10311, 10310, 10313, 10312, 10308, 10309, 10211, 10210, 10207, 10206, 10208, 10209, 10294, 10295, 10293, 10292, 10291, 10290, 10248, 10249, 10250, 10251, 10252, 10253, 10199, 10198, 10196, 10197, 10194, 10195, 10285, 10284, 10288, 10289, 10287, 10286, 10260, 10261, 10265, 10264, 10262, 10263, 10254, 10255, 10257, 10256, 10258, 10259, 10321, 10320, 10322, 10323, 10325, 10324, 10182, 10183, 10186, 10187, 10184, 10185, 10356, 10357, 10358, 10359, 10360, 10361] +private def clayworthS_fwd_c18 : Array (Fin 12096) := #[10299, 10298, 10301, 10300, 10297, 10296, 10234, 10235, 10230, 10231, 10232, 10233, 10326, 10327, 10330, 10331, 10329, 10328, 10237, 10236, 10238, 10239, 10241, 10240, 9419, 9418, 9414, 9415, 9416, 9417, 9444, 9445, 9447, 9446, 9449, 9448, 9485, 9484, 9480, 9481, 9482, 9483, 9432, 9433, 9435, 9434, 9436, 9437, 9499, 9498, 9500, 9501, 9503, 9502, 9569, 9568, 9565, 9564, 9567, 9566, 9553, 9552, 9555, 9554, 9556, 9557, 9538, 9539, 9534, 9535, 9536, 9537, 9570, 9571, 9572, 9573, 9574, 9575, 9528, 9529, 9532, 9533, 9530, 9531, 9409, 9408, 9413, 9412, 9411, 9410, 9592, 9593, 9588, 9589, 9590, 9591, 9472, 9473, 9468, 9469, 9471, 9470, 9453, 9452, 9454, 9455, 9450, 9451, 9595, 9594, 9599, 9598, 9596, 9597, 9460, 9461, 9457, 9456, 9458, 9459, 9547, 9546, 9549, 9548, 9550, 9551, 9576, 9577, 9580, 9581, 9578, 9579, 9562, 9563, 9559, 9558, 9561, 9560, 9518, 9519, 9516, 9517, 9520, 9521, 9492, 9493, 9497, 9496, 9494, 9495, 9438, 9439, 9442, 9443, 9440, 9441, 9478, 9479, 9474, 9475, 9476, 9477, 9526, 9527, 9522, 9523, 9525, 9524, 9487, 9486, 9488, 9489, 9490, 9491, 9509, 9508, 9505, 9504, 9506, 9507, 9424, 9425, 9423, 9422, 9420, 9421, 9510, 9511, 9514, 9515, 9513, 9512, 9429, 9428, 9427, 9426, 9431, 9430, 9542, 9543, 9545, 9544, 9541, 9540, 9583, 9582, 9587, 9586, 9584, 9585, 9467, 9466, 9463, 9462, 9465, 9464, 5725, 5724, 5729, 5728, 5727, 5726, 5705, 5704, 5702, 5703, 5701, 5700, 5692, 5693, 5689, 5688, 5690, 5691, 5570, 5571, 5568, 5569, 5572, 5573, 5750, 5751, 5748, 5749, 5752, 5753, 5641, 5640, 5645, 5644, 5642, 5643, 5755, 5754, 5757, 5756, 5759, 5758, 5707, 5706, 5710, 5711, 5709, 5708, 5623, 5622, 5627, 5626, 5625, 5624, 5712, 5713, 5716, 5717, 5714, 5715, 5632, 5633, 5628, 5629, 5630, 5631, 5687, 5686, 5683, 5682, 5685, 5684, 5575, 5574, 5576, 5577, 5578, 5579, 5619, 5618, 5621, 5620, 5617, 5616, 5658, 5659, 5661, 5660, 5663, 5662, 5611, 5610, 5615, 5614, 5613, 5612, 5600, 5601, 5599, 5598, 5602, 5603, 5649, 5648, 5650, 5651, 5647, 5646, 5604, 5605, 5608, 5609, 5606, 5607, 5597, 5596, 5592, 5593, 5594, 5595, 5589, 5588, 5590, 5591, 5586, 5587, 5670, 5671, 5674, 5675, 5673, 5672, 5721, 5720, 5718, 5719, 5722, 5723, 5654, 5655, 5652, 5653, 5657, 5656, 5694, 5695, 5699, 5698, 5697, 5696, 5731, 5730, 5732, 5733, 5735, 5734, 5581, 5580, 5582, 5583, 5585, 5584, 5676, 5677, 5678, 5679, 5680, 5681, 5738, 5739, 5737, 5736, 5741, 5740, 5636, 5637, 5638, 5639, 5634, 5635, 5665, 5664, 5667, 5666, 5668, 5669, 5747, 5746, 5745, 5744, 5742, 5743, 5376, 5377, 5378, 5379, 5381, 5380, 5426, 5427, 5428, 5429, 5425, 5424, 5468, 5469, 5466, 5467, 5471, 5470, 5399, 5398, 5395, 5394, 5397, 5396, 5542, 5543, 5538, 5539, 5541, 5540, 5392, 5393, 5388, 5389, 5390, 5391, 5484, 5485, 5486, 5487, 5488, 5489, 5546, 5547, 5548, 5549, 5544, 5545, 5459, 5458, 5457, 5456, 5454, 5455, 5554, 5555, 5550, 5551, 5552, 5553, 5445, 5444, 5442, 5443, 5447, 5446, 5529, 5528, 5531, 5530, 5526, 5527, 5525, 5524, 5523, 5522, 5520, 5521, 5422, 5423, 5421, 5420, 5419, 5418, 5432, 5433, 5435, 5434, 5430, 5431, 5402, 5403] +private def clayworthS_fwd_c19 : Array (Fin 12096) := #[5401, 5400, 5405, 5404, 5414, 5415, 5413, 5412, 5417, 5416, 5461, 5460, 5462, 5463, 5465, 5464, 5507, 5506, 5505, 5504, 5503, 5502, 5410, 5411, 5407, 5406, 5408, 5409, 5476, 5477, 5472, 5473, 5475, 5474, 5496, 5497, 5500, 5501, 5498, 5499, 5534, 5535, 5533, 5532, 5536, 5537, 5478, 5479, 5483, 5482, 5480, 5481, 5515, 5514, 5518, 5519, 5517, 5516, 5511, 5510, 5512, 5513, 5508, 5509, 5386, 5387, 5382, 5383, 5385, 5384, 5440, 5441, 5437, 5436, 5439, 5438, 5560, 5561, 5558, 5559, 5556, 5557, 5449, 5448, 5450, 5451, 5452, 5453, 5492, 5493, 5494, 5495, 5490, 5491, 5567, 5566, 5564, 5565, 5562, 5563, 8523, 8522, 8524, 8525, 8521, 8520, 8472, 8473, 8474, 8475, 8476, 8477, 8556, 8557, 8561, 8560, 8558, 8559, 8609, 8608, 8607, 8606, 8604, 8605, 8469, 8468, 8470, 8471, 8467, 8466, 8569, 8568, 8570, 8571, 8572, 8573, 8553, 8552, 8551, 8550, 8554, 8555, 8590, 8591, 8588, 8589, 8586, 8587, 8637, 8636, 8634, 8635, 8638, 8639, 8499, 8498, 8501, 8500, 8497, 8496, 8601, 8600, 8599, 8598, 8602, 8603, 8611, 8610, 8614, 8615, 8612, 8613, 8495, 8494, 8493, 8492, 8490, 8491, 8448, 8449, 8450, 8451, 8452, 8453, 8507, 8506, 8502, 8503, 8504, 8505, 8548, 8549, 8545, 8544, 8546, 8547, 8514, 8515, 8517, 8516, 8518, 8519, 8584, 8585, 8583, 8582, 8580, 8581, 8489, 8488, 8485, 8484, 8486, 8487, 8530, 8531, 8526, 8527, 8528, 8529, 8483, 8482, 8481, 8480, 8478, 8479, 8617, 8616, 8618, 8619, 8621, 8620, 8539, 8538, 8542, 8543, 8541, 8540, 8532, 8533, 8537, 8536, 8535, 8534, 8459, 8458, 8457, 8456, 8454, 8455, 8461, 8460, 8462, 8463, 8464, 8465, 8577, 8576, 8578, 8579, 8575, 8574, 8593, 8592, 8597, 8596, 8594, 8595, 8627, 8626, 8624, 8625, 8623, 8622, 8511, 8510, 8513, 8512, 8509, 8508, 8564, 8565, 8562, 8563, 8567, 8566, 8632, 8633, 8631, 8630, 8628, 8629, 592, 593, 590, 591, 588, 589, 606, 607, 608, 609, 611, 610, 659, 658, 654, 655, 657, 656, 718, 719, 716, 717, 714, 715, 602, 603, 605, 604, 600, 601, 674, 675, 677, 676, 672, 673, 644, 645, 642, 643, 646, 647, 730, 731, 727, 726, 729, 728, 695, 694, 691, 690, 693, 692, 576, 577, 578, 579, 581, 580, 759, 758, 756, 757, 760, 761, 653, 652, 651, 650, 648, 649, 623, 622, 621, 620, 619, 618, 762, 763, 767, 766, 764, 765, 738, 739, 742, 743, 741, 740, 629, 628, 626, 627, 625, 624, 705, 704, 703, 702, 707, 706, 683, 682, 679, 678, 680, 681, 582, 583, 585, 584, 587, 586, 638, 639, 640, 641, 636, 637, 635, 634, 630, 631, 633, 632, 614, 615, 617, 616, 612, 613, 685, 684, 687, 686, 688, 689, 671, 670, 668, 669, 666, 667, 660, 661, 662, 663, 665, 664, 722, 723, 724, 725, 720, 721, 713, 712, 708, 709, 710, 711, 696, 697, 701, 700, 699, 698, 732, 733, 736, 737, 734, 735, 597, 596, 595, 594, 598, 599, 748, 749, 745, 744, 746, 747, 755, 754, 751, 750, 753, 752, 7297, 7296, 7299, 7298, 7300, 7301, 7309, 7308, 7310, 7311, 7313, 7312, 7400, 7401, 7399, 7398] +private def clayworthS_fwd_c20 : Array (Fin 12096) := #[7402, 7403, 7474, 7475, 7471, 7470, 7472, 7473, 7459, 7458, 7461, 7460, 7463, 7462, 7303, 7302, 7305, 7304, 7306, 7307, 7417, 7416, 7421, 7420, 7418, 7419, 7436, 7437, 7439, 7438, 7435, 7434, 7380, 7381, 7382, 7383, 7385, 7384, 7476, 7477, 7479, 7478, 7481, 7480, 7364, 7365, 7363, 7362, 7366, 7367, 7394, 7395, 7393, 7392, 7397, 7396, 7330, 7331, 7329, 7328, 7327, 7326, 7447, 7446, 7448, 7449, 7451, 7450, 7487, 7486, 7484, 7485, 7483, 7482, 7349, 7348, 7345, 7344, 7347, 7346, 7466, 7467, 7468, 7469, 7464, 7465, 7336, 7337, 7335, 7334, 7333, 7332, 7440, 7441, 7443, 7442, 7445, 7444, 7350, 7351, 7354, 7355, 7353, 7352, 7386, 7387, 7388, 7389, 7390, 7391, 7370, 7371, 7369, 7368, 7372, 7373, 7430, 7431, 7432, 7433, 7429, 7428, 7343, 7342, 7338, 7339, 7340, 7341, 7414, 7415, 7413, 7412, 7411, 7410, 7323, 7322, 7321, 7320, 7325, 7324, 7319, 7318, 7317, 7316, 7314, 7315, 7452, 7453, 7456, 7457, 7455, 7454, 7378, 7379, 7374, 7375, 7377, 7376, 7426, 7427, 7424, 7425, 7422, 7423, 7358, 7359, 7360, 7361, 7357, 7356, 7406, 7407, 7408, 7409, 7405, 7404, 10953, 10952, 10955, 10954, 10951, 10950, 11033, 11032, 11029, 11028, 11030, 11031, 11107, 11106, 11110, 11111, 11108, 11109, 11095, 11094, 11099, 11098, 11097, 11096, 11080, 11081, 11079, 11078, 11077, 11076, 11113, 11112, 11114, 11115, 11117, 11116, 11131, 11130, 11134, 11135, 11133, 11132, 11022, 11023, 11024, 11025, 11027, 11026, 11062, 11063, 11059, 11058, 11060, 11061, 10988, 10989, 10991, 10990, 10986, 10987, 11118, 11119, 11123, 11122, 11121, 11120, 11014, 11015, 11013, 11012, 11011, 11010, 10996, 10997, 10995, 10994, 10993, 10992, 11091, 11090, 11089, 11088, 11093, 11092, 11016, 11017, 11020, 11021, 11019, 11018, 11073, 11072, 11071, 11070, 11075, 11074, 10944, 10945, 10946, 10947, 10949, 10948, 11052, 11053, 11055, 11054, 11057, 11056, 10983, 10982, 10981, 10980, 10985, 10984, 11051, 11050, 11047, 11046, 11048, 11049, 10998, 10999, 11003, 11002, 11001, 11000, 11069, 11068, 11066, 11067, 11065, 11064, 10977, 10976, 10974, 10975, 10979, 10978, 11035, 11034, 11037, 11036, 11039, 11038, 10971, 10970, 10973, 10972, 10968, 10969, 11102, 11103, 11100, 11101, 11104, 11105, 11040, 11041, 11045, 11044, 11043, 11042, 10956, 10957, 10960, 10961, 10958, 10959, 10962, 10963, 10966, 10967, 10965, 10964, 11004, 11005, 11009, 11008, 11007, 11006, 11084, 11085, 11083, 11082, 11086, 11087, 11127, 11126, 11125, 11124, 11129, 11128, 778, 779, 775, 774, 777, 776, 792, 793, 795, 794, 796, 797, 863, 862, 858, 859, 861, 860, 930, 931, 933, 932, 935, 934, 916, 917, 913, 912, 914, 915, 789, 788, 787, 786, 791, 790, 892, 893, 891, 890, 888, 889, 937, 936, 939, 938, 941, 940, 769, 768, 771, 770, 772, 773, 958, 959, 954, 955, 957, 956, 820, 821, 817, 816, 818, 819, 926, 927, 929, 928, 925, 924, 920, 921, 922, 923, 918, 919, 900, 901, 903, 902, 905, 904, 824, 825, 823, 822, 826, 827, 878, 879, 876, 877, 880, 881, 808, 809, 804, 805, 806, 807, 856, 857, 852, 853, 854, 855, 831, 830, 832, 833, 829, 828, 875, 874, 871, 870, 873, 872, 801, 800, 798, 799, 802, 803, 835, 834, 837, 836, 838, 839] +private def clayworthS_fwd_c21 : Array (Fin 12096) := #[865, 864, 867, 866, 869, 868, 909, 908, 907, 906, 911, 910, 847, 846, 851, 850, 848, 849, 843, 842, 840, 841, 844, 845, 883, 882, 886, 887, 884, 885, 782, 783, 781, 780, 785, 784, 942, 943, 945, 944, 946, 947, 897, 896, 895, 894, 899, 898, 953, 952, 950, 951, 948, 949, 815, 814, 810, 811, 812, 813, 7717, 7716, 7719, 7718, 7720, 7721, 7701, 7700, 7703, 7702, 7698, 7699, 7790, 7791, 7789, 7788, 7793, 7792, 7694, 7695, 7692, 7693, 7697, 7696, 7828, 7829, 7827, 7826, 7824, 7825, 7777, 7776, 7781, 7780, 7779, 7778, 7859, 7858, 7854, 7855, 7857, 7856, 7680, 7681, 7684, 7685, 7682, 7683, 7724, 7725, 7726, 7727, 7722, 7723, 7870, 7871, 7867, 7866, 7868, 7869, 7742, 7743, 7744, 7745, 7740, 7741, 7838, 7839, 7837, 7836, 7841, 7840, 7753, 7752, 7756, 7757, 7754, 7755, 7843, 7842, 7844, 7845, 7846, 7847, 7732, 7733, 7730, 7731, 7729, 7728, 7810, 7811, 7807, 7806, 7808, 7809, 7687, 7686, 7688, 7689, 7691, 7690, 7783, 7782, 7785, 7784, 7787, 7786, 7712, 7713, 7710, 7711, 7714, 7715, 7774, 7775, 7770, 7771, 7772, 7773, 7816, 7817, 7814, 7815, 7813, 7812, 7739, 7738, 7734, 7735, 7736, 7737, 7798, 7799, 7797, 7796, 7794, 7795, 7707, 7706, 7709, 7708, 7704, 7705, 7849, 7848, 7851, 7850, 7853, 7852, 7766, 7767, 7764, 7765, 7768, 7769, 7823, 7822, 7818, 7819, 7821, 7820, 7802, 7803, 7804, 7805, 7800, 7801, 7749, 7748, 7750, 7751, 7747, 7746, 7830, 7831, 7834, 7835, 7832, 7833, 7760, 7761, 7762, 7763, 7758, 7759, 7864, 7865, 7862, 7863, 7860, 7861, 3653, 3652, 3649, 3648, 3650, 3651, 3672, 3673, 3677, 3676, 3674, 3675, 3679, 3678, 3683, 3682, 3681, 3680, 3719, 3718, 3716, 3717, 3715, 3714, 3761, 3760, 3759, 3758, 3756, 3757, 3657, 3656, 3655, 3654, 3659, 3658, 3738, 3739, 3741, 3740, 3743, 3742, 3790, 3791, 3788, 3789, 3786, 3787, 3820, 3821, 3816, 3817, 3818, 3819, 3836, 3837, 3838, 3839, 3834, 3835, 3755, 3754, 3751, 3750, 3752, 3753, 3694, 3695, 3692, 3693, 3691, 3690, 3830, 3831, 3828, 3829, 3832, 3833, 3696, 3697, 3700, 3701, 3698, 3699, 3809, 3808, 3804, 3805, 3807, 3806, 3802, 3803, 3801, 3800, 3799, 3798, 3792, 3793, 3795, 3794, 3796, 3797, 3776, 3777, 3774, 3775, 3778, 3779, 3746, 3747, 3745, 3744, 3748, 3749, 3687, 3686, 3684, 3685, 3689, 3688, 3669, 3668, 3667, 3666, 3670, 3671, 3737, 3736, 3733, 3732, 3734, 3735, 3709, 3708, 3711, 3710, 3713, 3712, 3785, 3784, 3780, 3781, 3782, 3783, 3662, 3663, 3661, 3660, 3664, 3665, 3720, 3721, 3722, 3723, 3725, 3724, 3762, 3763, 3764, 3765, 3766, 3767, 3812, 3813, 3810, 3811, 3814, 3815, 3727, 3726, 3728, 3729, 3731, 3730, 3825, 3824, 3822, 3823, 3827, 3826, 3773, 3772, 3771, 3770, 3768, 3769, 3707, 3706, 3702, 3703, 3704, 3705, 8845, 8844, 8847, 8846, 8848, 8849, 8866, 8867, 8863, 8862, 8865, 8864, 8900, 8901, 8902, 8903, 8898, 8899, 8839, 8838, 8841, 8840, 8843, 8842, 8987, 8986, 8982, 8983, 8985, 8984, 8935, 8934, 8939, 8938, 8936, 8937, 8968, 8969, 8964, 8965, 8967, 8966, 9006, 9007, 9008, 9009, 9011, 9010, 8957, 8956, 8955, 8954, 8952, 8953, 9005, 9004] +private def clayworthS_fwd_c22 : Array (Fin 12096) := #[9002, 9003, 9000, 9001, 8852, 8853, 8855, 8854, 8851, 8850, 8871, 8870, 8872, 8873, 8869, 8868, 8970, 8971, 8972, 8973, 8974, 8975, 8884, 8885, 8880, 8881, 8883, 8882, 8993, 8992, 8990, 8991, 8989, 8988, 8861, 8860, 8858, 8859, 8857, 8856, 8886, 8887, 8890, 8891, 8888, 8889, 8948, 8949, 8946, 8947, 8950, 8951, 8878, 8879, 8876, 8877, 8874, 8875, 8917, 8916, 8919, 8918, 8921, 8920, 8915, 8914, 8910, 8911, 8913, 8912, 8932, 8933, 8930, 8931, 8929, 8928, 8904, 8905, 8906, 8907, 8908, 8909, 8997, 8996, 8994, 8995, 8998, 8999, 8978, 8979, 8977, 8976, 8981, 8980, 8963, 8962, 8958, 8959, 8961, 8960, 9017, 9016, 9012, 9013, 9014, 9015, 8837, 8836, 8835, 8834, 8833, 8832, 8942, 8943, 8944, 8945, 8940, 8941, 9019, 9018, 9022, 9023, 9021, 9020, 8892, 8893, 8894, 8895, 8897, 8896, 8923, 8922, 8926, 8927, 8925, 8924, 11359, 11358, 11361, 11360, 11363, 11362, 11381, 11380, 11379, 11378, 11376, 11377, 11416, 11417, 11412, 11413, 11415, 11414, 11459, 11458, 11454, 11455, 11457, 11456, 11433, 11432, 11430, 11431, 11434, 11435, 11497, 11496, 11499, 11498, 11500, 11501, 11442, 11443, 11446, 11447, 11444, 11445, 11494, 11495, 11490, 11491, 11492, 11493, 11404, 11405, 11401, 11400, 11402, 11403, 11438, 11439, 11440, 11441, 11437, 11436, 11368, 11369, 11366, 11367, 11364, 11365, 11515, 11514, 11516, 11517, 11519, 11518, 11473, 11472, 11474, 11475, 11477, 11476, 11508, 11509, 11512, 11513, 11511, 11510, 11484, 11485, 11488, 11489, 11487, 11486, 11375, 11374, 11372, 11373, 11370, 11371, 11469, 11468, 11467, 11466, 11471, 11470, 11328, 11329, 11331, 11330, 11333, 11332, 11384, 11385, 11386, 11387, 11383, 11382, 11355, 11354, 11356, 11357, 11352, 11353, 11406, 11407, 11409, 11408, 11411, 11410, 11349, 11348, 11347, 11346, 11350, 11351, 11481, 11480, 11478, 11479, 11483, 11482, 11425, 11424, 11429, 11428, 11426, 11427, 11420, 11421, 11418, 11419, 11422, 11423, 11452, 11453, 11449, 11448, 11451, 11450, 11334, 11335, 11339, 11338, 11336, 11337, 11505, 11504, 11507, 11506, 11503, 11502, 11344, 11345, 11341, 11340, 11342, 11343, 11460, 11461, 11463, 11462, 11465, 11464, 11394, 11395, 11397, 11396, 11399, 11398, 11393, 11392, 11391, 11390, 11388, 11389, 4440, 4441, 4442, 4443, 4444, 4445, 4467, 4466, 4468, 4469, 4465, 4464, 4432, 4433, 4428, 4429, 4430, 4431, 4518, 4519, 4523, 4522, 4521, 4520, 4541, 4540, 4536, 4537, 4539, 4538, 4488, 4489, 4490, 4491, 4492, 4493, 4580, 4581, 4582, 4583, 4578, 4579, 4530, 4531, 4534, 4535, 4533, 4532, 4417, 4416, 4421, 4420, 4419, 4418, 4503, 4502, 4500, 4501, 4504, 4505, 4603, 4602, 4604, 4605, 4606, 4607, 4586, 4587, 4584, 4585, 4589, 4588, 4452, 4453, 4455, 4454, 4457, 4456, 4567, 4566, 4571, 4570, 4568, 4569, 4564, 4565, 4562, 4563, 4560, 4561, 4550, 4551, 4552, 4553, 4548, 4549, 4459, 4458, 4460, 4461, 4463, 4462, 4422, 4423, 4424, 4425, 4426, 4427, 4495, 4494, 4496, 4497, 4498, 4499, 4474, 4475, 4470, 4471, 4472, 4473, 4438, 4439, 4436, 4437, 4434, 4435, 4507, 4506, 4508, 4509, 4510, 4511, 4577, 4576, 4573, 4572, 4574, 4575, 4557, 4556, 4555, 4554, 4559, 4558, 4484, 4485, 4482, 4483, 4486, 4487, 4476, 4477, 4478, 4479, 4481, 4480, 4514, 4515, 4517, 4516, 4512, 4513, 4528, 4529, 4526, 4527, 4524, 4525, 4450, 4451, 4447, 4446] +private def clayworthS_fwd_c23 : Array (Fin 12096) := #[4448, 4449, 4542, 4543, 4544, 4545, 4547, 4546, 4590, 4591, 4595, 4594, 4593, 4592, 4600, 4601, 4599, 4598, 4596, 4597, 3857, 3856, 3852, 3853, 3854, 3855, 3876, 3877, 3879, 3878, 3881, 3880, 3892, 3893, 3891, 3890, 3889, 3888, 3920, 3921, 3918, 3919, 3922, 3923, 3949, 3948, 3953, 3952, 3951, 3950, 3996, 3997, 3999, 3998, 4001, 4000, 3866, 3867, 3864, 3865, 3868, 3869, 3976, 3977, 3974, 3975, 3972, 3973, 3936, 3937, 3939, 3938, 3941, 3940, 4005, 4004, 4002, 4003, 4007, 4006, 3841, 3840, 3843, 3842, 3845, 3844, 3916, 3917, 3912, 3913, 3914, 3915, 3945, 3944, 3946, 3947, 3942, 3943, 4030, 4031, 4026, 4027, 4028, 4029, 3899, 3898, 3896, 3897, 3894, 3895, 3986, 3987, 3984, 3985, 3988, 3989, 4013, 4012, 4009, 4008, 4011, 4010, 3993, 3992, 3994, 3995, 3991, 3990, 3978, 3979, 3981, 3980, 3982, 3983, 3907, 3906, 3909, 3908, 3911, 3910, 3846, 3847, 3849, 3848, 3850, 3851, 3905, 3904, 3900, 3901, 3902, 3903, 3935, 3934, 3930, 3931, 3933, 3932, 3964, 3965, 3960, 3961, 3963, 3962, 3883, 3882, 3886, 3887, 3885, 3884, 3928, 3929, 3925, 3924, 3927, 3926, 3874, 3875, 3873, 3872, 3870, 3871, 3967, 3966, 3969, 3968, 3971, 3970, 3860, 3861, 3862, 3863, 3859, 3858, 4014, 4015, 4019, 4018, 4017, 4016, 3954, 3955, 3958, 3959, 3956, 3957, 4025, 4024, 4022, 4023, 4020, 4021, 6731, 6730, 6727, 6726, 6729, 6728, 6764, 6765, 6766, 6767, 6763, 6762, 6807, 6806, 6805, 6804, 6809, 6808, 6834, 6835, 6838, 6839, 6836, 6837, 6733, 6732, 6735, 6734, 6736, 6737, 6855, 6854, 6857, 6856, 6852, 6853, 6880, 6881, 6879, 6878, 6877, 6876, 6900, 6901, 6902, 6903, 6905, 6904, 6908, 6909, 6906, 6907, 6911, 6910, 6803, 6802, 6801, 6800, 6798, 6799, 6753, 6752, 6755, 6754, 6751, 6750, 6888, 6889, 6890, 6891, 6892, 6893, 6788, 6789, 6787, 6786, 6791, 6790, 6898, 6899, 6896, 6897, 6894, 6895, 6758, 6759, 6760, 6761, 6756, 6757, 6797, 6796, 6793, 6792, 6795, 6794, 6860, 6861, 6859, 6858, 6862, 6863, 6721, 6720, 6723, 6722, 6724, 6725, 6778, 6779, 6777, 6776, 6775, 6774, 6829, 6828, 6831, 6830, 6832, 6833, 6770, 6771, 6768, 6769, 6773, 6772, 6746, 6747, 6745, 6744, 6749, 6748, 6869, 6868, 6866, 6867, 6865, 6864, 6811, 6810, 6812, 6813, 6815, 6814, 6742, 6743, 6741, 6740, 6739, 6738, 6841, 6840, 6844, 6845, 6842, 6843, 6824, 6825, 6823, 6822, 6827, 6826, 6820, 6821, 6816, 6817, 6818, 6819, 6870, 6871, 6874, 6875, 6873, 6872, 6849, 6848, 6850, 6851, 6846, 6847, 6885, 6884, 6887, 6886, 6882, 6883, 6782, 6783, 6784, 6785, 6780, 6781, 11536, 11537, 11533, 11532, 11534, 11535, 11568, 11569, 11571, 11570, 11573, 11572, 11585, 11584, 11583, 11582, 11581, 11580, 11623, 11622, 11627, 11626, 11625, 11624, 11550, 11551, 11555, 11554, 11552, 11553, 11693, 11692, 11688, 11689, 11691, 11690, 11686, 11687, 11685, 11684, 11682, 11683, 11545, 11544, 11546, 11547, 11549, 11548, 11659, 11658, 11661, 11660, 11662, 11663, 11643, 11642, 11640, 11641, 11644, 11645, 11674, 11675, 11671, 11670, 11672, 11673, 11521, 11520, 11524, 11525, 11523, 11522, 11702, 11703, 11704, 11705, 11701, 11700, 11707, 11706, 11708, 11709, 11710, 11711, 11589, 11588, 11590, 11591, 11587, 11586, 11697, 11696, 11695, 11694, 11699, 11698] +private def clayworthS_fwd_c24 : Array (Fin 12096) := #[11604, 11605, 11608, 11609, 11606, 11607, 11611, 11610, 11613, 11612, 11615, 11614, 11526, 11527, 11528, 11529, 11530, 11531, 11596, 11597, 11593, 11592, 11594, 11595, 11646, 11647, 11648, 11649, 11650, 11651, 11559, 11558, 11556, 11557, 11561, 11560, 11565, 11564, 11563, 11562, 11566, 11567, 11577, 11576, 11575, 11574, 11579, 11578, 11656, 11657, 11652, 11653, 11655, 11654, 11636, 11637, 11635, 11634, 11639, 11638, 11630, 11631, 11628, 11629, 11633, 11632, 11678, 11679, 11676, 11677, 11681, 11680, 11543, 11542, 11541, 11540, 11539, 11538, 11668, 11669, 11666, 11667, 11664, 11665, 11618, 11619, 11620, 11621, 11617, 11616, 11598, 11599, 11602, 11603, 11601, 11600] + +private def clayworthS_fwd : Array (Fin 12096) := + clayworthS_fwd_c0 ++ clayworthS_fwd_c1 ++ clayworthS_fwd_c2 ++ clayworthS_fwd_c3 ++ clayworthS_fwd_c4 ++ clayworthS_fwd_c5 ++ clayworthS_fwd_c6 ++ clayworthS_fwd_c7 ++ clayworthS_fwd_c8 ++ clayworthS_fwd_c9 ++ clayworthS_fwd_c10 ++ clayworthS_fwd_c11 ++ clayworthS_fwd_c12 ++ clayworthS_fwd_c13 ++ clayworthS_fwd_c14 ++ clayworthS_fwd_c15 ++ clayworthS_fwd_c16 ++ clayworthS_fwd_c17 ++ clayworthS_fwd_c18 ++ clayworthS_fwd_c19 ++ clayworthS_fwd_c20 ++ clayworthS_fwd_c21 ++ clayworthS_fwd_c22 ++ clayworthS_fwd_c23 ++ clayworthS_fwd_c24 + +private def clayworthS_inv_c0 : Array (Fin 12096) := #[2964, 2965, 2966, 2967, 2969, 2968, 3036, 3037, 3040, 3041, 3039, 3038, 3047, 3046, 3043, 3042, 3044, 3045, 2888, 2889, 2887, 2886, 2891, 2890, 2982, 2983, 2987, 2986, 2985, 2984, 2927, 2926, 2923, 2922, 2924, 2925, 2988, 2989, 2991, 2990, 2993, 2992, 2937, 2936, 2938, 2939, 2935, 2934, 2974, 2975, 2971, 2970, 2972, 2973, 3063, 3062, 3065, 3064, 3061, 3060, 2940, 2941, 2942, 2943, 2944, 2945, 3059, 3058, 3055, 3054, 3057, 3056, 2910, 2911, 2914, 2915, 2912, 2913, 3015, 3014, 3013, 3012, 3016, 3017, 3032, 3033, 3030, 3031, 3034, 3035, 2997, 2996, 2999, 2998, 2994, 2995, 2976, 2977, 2979, 2978, 2980, 2981, 2919, 2918, 2921, 2920, 2917, 2916, 3009, 3008, 3011, 3010, 3007, 3006, 3048, 3049, 3050, 3051, 3052, 3053, 3001, 3000, 3003, 3002, 3004, 3005, 2897, 2896, 2895, 2894, 2892, 2893, 2958, 2959, 2960, 2961, 2962, 2963, 3029, 3028, 3027, 3026, 3025, 3024, 2956, 2957, 2953, 2952, 2954, 2955, 2946, 2947, 2948, 2949, 2951, 2950, 3023, 3022, 3018, 3019, 3020, 3021, 2880, 2881, 2884, 2885, 2882, 2883, 2901, 2900, 2903, 2902, 2898, 2899, 3071, 3070, 3069, 3068, 3066, 3067, 2906, 2907, 2908, 2909, 2904, 2905, 2931, 2930, 2933, 2932, 2929, 2928, 5985, 5984, 5982, 5983, 5986, 5987, 6097, 6096, 6100, 6101, 6099, 6098, 6077, 6076, 6075, 6074, 6073, 6072, 6030, 6031, 6033, 6032, 6035, 6034, 6038, 6039, 6036, 6037, 6041, 6040, 5993, 5992, 5990, 5991, 5989, 5988, 6016, 6017, 6015, 6014, 6012, 6013, 6060, 6061, 6065, 6064, 6062, 6063, 6130, 6131, 6127, 6126, 6128, 6129, 6007, 6006, 6011, 6010, 6009, 6008, 6124, 6125, 6120, 6121, 6122, 6123, 6051, 6050, 6048, 6049, 6053, 6052, 5957, 5956, 5952, 5953, 5954, 5955, 6068, 6069, 6070, 6071, 6066, 6067, 6086, 6087, 6084, 6085, 6089, 6088, 6044, 6045, 6047, 6046, 6043, 6042, 6024, 6025, 6026, 6027, 6028, 6029, 5958, 5959, 5963, 5962, 5960, 5961, 6133, 6132, 6136, 6137, 6135, 6134, 6079, 6078, 6081, 6080, 6082, 6083, 5964, 5965, 5968, 5969, 5966, 5967, 6112, 6113, 6111, 6110, 6109, 6108, 6057, 6056, 6059, 6058, 6055, 6054, 6090, 6091, 6094, 6095, 6092, 6093, 6021, 6020, 6019, 6018, 6022, 6023, 5981, 5980, 5979, 5978, 5977, 5976, 5972, 5973, 5974, 5975, 5970, 5971, 6102, 6103, 6106, 6107, 6105, 6104, 6005, 6004, 6003, 6002, 6001, 6000, 6117, 6116, 6115, 6114, 6118, 6119, 6142, 6143, 6140, 6141, 6138, 6139, 5996, 5997, 5998, 5999, 5994, 5995, 148, 149, 146, 147, 144, 145, 164, 165, 163, 162, 167, 166, 24, 25, 27, 26, 29, 28, 14, 15, 12, 13, 17, 16, 123, 122, 124, 125, 121, 120, 2, 3, 0, 1, 5, 4, 82, 83, 79, 78, 80, 81, 117, 116, 115, 114, 119, 118, 65, 64, 61, 60, 62, 63, 99, 98, 101, 100, 97, 96, 171, 170, 172, 173, 169, 168, 178, 179, 177, 176, 174, 175, 74, 75, 76, 77, 72, 73, 84, 85, 86, 87, 88, 89, 47, 46, 44, 45, 43, 42, 9, 8, 10, 11, 6, 7, 138, 139, 143, 142, 140, 141, 110, 111, 112, 113, 108, 109, 105, 104, 102, 103, 107, 106, 50, 51] +private def clayworthS_inv_c1 : Array (Fin 12096) := #[52, 53, 49, 48, 21, 20, 22, 23, 18, 19, 185, 184, 181, 180, 183, 182, 128, 129, 131, 130, 126, 127, 151, 150, 153, 152, 154, 155, 92, 93, 94, 95, 90, 91, 135, 134, 132, 133, 136, 137, 35, 34, 30, 31, 32, 33, 159, 158, 157, 156, 161, 160, 68, 69, 70, 71, 67, 66, 191, 190, 188, 189, 186, 187, 36, 37, 40, 41, 39, 38, 56, 57, 58, 59, 54, 55, 9846, 9847, 9848, 9849, 9851, 9850, 9900, 9901, 9903, 9902, 9905, 9904, 9796, 9797, 9794, 9795, 9792, 9793, 9969, 9968, 9967, 9966, 9970, 9971, 9820, 9821, 9816, 9817, 9819, 9818, 9798, 9799, 9800, 9801, 9803, 9802, 9922, 9923, 9918, 9919, 9921, 9920, 9869, 9868, 9867, 9866, 9865, 9864, 9887, 9886, 9884, 9885, 9883, 9882, 9914, 9915, 9917, 9916, 9913, 9912, 9910, 9911, 9906, 9907, 9908, 9909, 9830, 9831, 9828, 9829, 9832, 9833, 9862, 9863, 9861, 9860, 9859, 9858, 9806, 9807, 9809, 9808, 9805, 9804, 9936, 9937, 9938, 9939, 9941, 9940, 9934, 9935, 9932, 9933, 9931, 9930, 9826, 9827, 9822, 9823, 9825, 9824, 9897, 9896, 9898, 9899, 9895, 9894, 9925, 9924, 9927, 9926, 9928, 9929, 9843, 9842, 9845, 9844, 9841, 9840, 9954, 9955, 9959, 9958, 9957, 9956, 9891, 9890, 9889, 9888, 9893, 9892, 9950, 9951, 9952, 9953, 9949, 9948, 9814, 9815, 9812, 9813, 9810, 9811, 9946, 9947, 9942, 9943, 9944, 9945, 9837, 9836, 9839, 9838, 9834, 9835, 9960, 9961, 9964, 9965, 9962, 9963, 9876, 9877, 9881, 9880, 9878, 9879, 9975, 9974, 9976, 9977, 9972, 9973, 9981, 9980, 9983, 9982, 9979, 9978, 9854, 9855, 9853, 9852, 9856, 9857, 9870, 9871, 9874, 9875, 9873, 9872, 10417, 10416, 10419, 10418, 10420, 10421, 10371, 10370, 10373, 10372, 10368, 10369, 10533, 10532, 10530, 10531, 10535, 10534, 10401, 10400, 10399, 10398, 10403, 10402, 10374, 10375, 10377, 10376, 10378, 10379, 10490, 10491, 10489, 10488, 10492, 10493, 10466, 10467, 10468, 10469, 10464, 10465, 10556, 10557, 10558, 10559, 10555, 10554, 10431, 10430, 10432, 10433, 10428, 10429, 10455, 10454, 10452, 10453, 10456, 10457, 10481, 10480, 10477, 10476, 10478, 10479, 10495, 10494, 10497, 10496, 10498, 10499, 10520, 10521, 10519, 10518, 10522, 10523, 10513, 10512, 10516, 10517, 10515, 10514, 10472, 10473, 10474, 10475, 10470, 10471, 10382, 10383, 10385, 10384, 10381, 10380, 10501, 10500, 10503, 10502, 10505, 10504, 10485, 10484, 10487, 10486, 10483, 10482, 10460, 10461, 10458, 10459, 10462, 10463, 10525, 10524, 10528, 10529, 10526, 10527, 10408, 10409, 10407, 10406, 10404, 10405, 10545, 10544, 10543, 10542, 10547, 10546, 10446, 10447, 10449, 10448, 10451, 10450, 10509, 10508, 10507, 10506, 10511, 10510, 10395, 10394, 10396, 10397, 10392, 10393, 10444, 10445, 10440, 10441, 10442, 10443, 10439, 10438, 10434, 10435, 10437, 10436, 10386, 10387, 10389, 10388, 10391, 10390, 10411, 10410, 10413, 10412, 10415, 10414, 10536, 10537, 10539, 10538, 10540, 10541, 10552, 10553, 10550, 10551, 10549, 10548, 10424, 10425, 10427, 10426, 10422, 10423, 1597, 1596, 1598, 1599, 1601, 1600, 1537, 1536, 1539, 1538, 1540, 1541, 1683, 1682, 1680, 1681, 1684, 1685, 1697, 1696, 1693, 1692, 1695, 1694, 1653, 1652, 1650, 1651, 1655, 1654, 1542, 1543, 1544, 1545, 1546, 1547, 1637, 1636, 1633, 1632] +private def clayworthS_inv_c2 : Array (Fin 12096) := #[1635, 1634, 1705, 1704, 1707, 1706, 1709, 1708, 1714, 1715, 1710, 1711, 1712, 1713, 1616, 1617, 1615, 1614, 1619, 1618, 1611, 1610, 1609, 1608, 1613, 1612, 1670, 1671, 1672, 1673, 1668, 1669, 1658, 1659, 1661, 1660, 1656, 1657, 1575, 1574, 1573, 1572, 1577, 1576, 1716, 1717, 1721, 1720, 1719, 1718, 1687, 1686, 1688, 1689, 1691, 1690, 1561, 1560, 1563, 1562, 1565, 1564, 1703, 1702, 1698, 1699, 1700, 1701, 1647, 1646, 1649, 1648, 1645, 1644, 1665, 1664, 1666, 1667, 1663, 1662, 1589, 1588, 1586, 1587, 1584, 1585, 1677, 1676, 1675, 1674, 1678, 1679, 1571, 1570, 1569, 1568, 1566, 1567, 1638, 1639, 1641, 1640, 1643, 1642, 1556, 1557, 1555, 1554, 1559, 1558, 1630, 1631, 1626, 1627, 1628, 1629, 1622, 1623, 1624, 1625, 1621, 1620, 1548, 1549, 1551, 1550, 1553, 1552, 1593, 1592, 1590, 1591, 1595, 1594, 1582, 1583, 1578, 1579, 1581, 1580, 1724, 1725, 1727, 1726, 1723, 1722, 1605, 1604, 1603, 1602, 1607, 1606, 770, 771, 773, 772, 768, 769, 922, 923, 920, 921, 919, 918, 931, 930, 934, 935, 932, 933, 883, 882, 886, 887, 884, 885, 859, 858, 863, 862, 860, 861, 869, 868, 866, 867, 864, 865, 838, 839, 837, 836, 834, 835, 778, 779, 775, 774, 777, 776, 820, 821, 816, 817, 818, 819, 847, 846, 849, 848, 851, 850, 952, 953, 948, 949, 950, 951, 780, 781, 784, 785, 783, 782, 909, 908, 907, 906, 911, 910, 873, 872, 875, 874, 870, 871, 808, 809, 805, 804, 806, 807, 787, 786, 788, 789, 791, 790, 888, 889, 891, 890, 893, 892, 881, 880, 878, 879, 876, 877, 925, 924, 927, 926, 928, 929, 799, 798, 802, 803, 801, 800, 941, 940, 937, 936, 938, 939, 855, 854, 857, 856, 853, 852, 912, 913, 914, 915, 916, 917, 947, 946, 943, 942, 945, 944, 845, 844, 841, 840, 842, 843, 825, 824, 822, 823, 827, 826, 902, 903, 905, 904, 900, 901, 832, 833, 828, 829, 831, 830, 897, 896, 895, 894, 898, 899, 795, 794, 797, 796, 793, 792, 956, 957, 959, 958, 954, 955, 812, 813, 814, 815, 811, 810, 8551, 8550, 8553, 8552, 8555, 8554, 8461, 8460, 8462, 8463, 8464, 8465, 8557, 8556, 8561, 8560, 8559, 8558, 8582, 8583, 8581, 8580, 8585, 8584, 8451, 8450, 8449, 8448, 8453, 8452, 8529, 8528, 8530, 8531, 8526, 8527, 8577, 8576, 8578, 8579, 8575, 8574, 8563, 8562, 8565, 8564, 8567, 8566, 8632, 8633, 8629, 8628, 8630, 8631, 8539, 8538, 8540, 8541, 8543, 8542, 8626, 8627, 8622, 8623, 8624, 8625, 8497, 8496, 8499, 8498, 8501, 8500, 8456, 8457, 8455, 8454, 8458, 8459, 8586, 8587, 8589, 8588, 8590, 8591, 8598, 8599, 8600, 8601, 8603, 8602, 8506, 8507, 8502, 8503, 8505, 8504, 8467, 8466, 8471, 8470, 8468, 8469, 8636, 8637, 8635, 8634, 8639, 8638, 8615, 8614, 8610, 8611, 8613, 8612, 8486, 8487, 8488, 8489, 8485, 8484, 8546, 8547, 8544, 8545, 8548, 8549, 8570, 8571, 8572, 8573, 8568, 8569, 8492, 8493, 8494, 8495, 8491, 8490, 8605, 8604, 8606, 8607, 8609, 8608, 8533, 8532, 8534, 8535, 8537, 8536, 8480, 8481, 8483, 8482, 8479, 8478] +private def clayworthS_inv_c3 : Array (Fin 12096) := #[8524, 8525, 8523, 8522, 8521, 8520, 8515, 8514, 8519, 8518, 8516, 8517, 8595, 8594, 8592, 8593, 8596, 8597, 8473, 8472, 8476, 8477, 8474, 8475, 8617, 8616, 8620, 8621, 8619, 8618, 8509, 8508, 8512, 8513, 8511, 8510, 6583, 6582, 6587, 6586, 6584, 6585, 6637, 6636, 6639, 6638, 6640, 6641, 6547, 6546, 6550, 6551, 6549, 6548, 6695, 6694, 6691, 6690, 6693, 6692, 6682, 6683, 6678, 6679, 6681, 6680, 6652, 6653, 6651, 6650, 6649, 6648, 6531, 6530, 6528, 6529, 6533, 6532, 6605, 6604, 6601, 6600, 6603, 6602, 6635, 6634, 6633, 6632, 6630, 6631, 6666, 6667, 6668, 6669, 6670, 6671, 6539, 6538, 6536, 6537, 6534, 6535, 6643, 6642, 6645, 6644, 6647, 6646, 6616, 6617, 6614, 6615, 6612, 6613, 6597, 6596, 6598, 6599, 6595, 6594, 6662, 6663, 6660, 6661, 6664, 6665, 6543, 6542, 6540, 6541, 6545, 6544, 6686, 6687, 6685, 6684, 6689, 6688, 6711, 6710, 6709, 6708, 6712, 6713, 6657, 6656, 6659, 6658, 6655, 6654, 6699, 6698, 6700, 6701, 6696, 6697, 6676, 6677, 6675, 6674, 6673, 6672, 6568, 6569, 6566, 6567, 6565, 6564, 6706, 6707, 6702, 6703, 6704, 6705, 6560, 6561, 6563, 6562, 6559, 6558, 6628, 6629, 6627, 6626, 6624, 6625, 6619, 6618, 6620, 6621, 6622, 6623, 6552, 6553, 6556, 6557, 6555, 6554, 6577, 6576, 6579, 6578, 6580, 6581, 6573, 6572, 6574, 6575, 6570, 6571, 6718, 6719, 6717, 6716, 6715, 6714, 6591, 6590, 6592, 6593, 6588, 6589, 6608, 6609, 6611, 6610, 6606, 6607, 8066, 8067, 8069, 8068, 8065, 8064, 8233, 8232, 8234, 8235, 8236, 8237, 8200, 8201, 8199, 8198, 8197, 8196, 8161, 8160, 8164, 8165, 8162, 8163, 8073, 8072, 8070, 8071, 8075, 8074, 8122, 8123, 8118, 8119, 8121, 8120, 8146, 8147, 8144, 8145, 8142, 8143, 8184, 8185, 8186, 8187, 8189, 8188, 8171, 8170, 8169, 8168, 8166, 8167, 8150, 8151, 8152, 8153, 8149, 8148, 8245, 8244, 8248, 8249, 8246, 8247, 8179, 8178, 8181, 8180, 8183, 8182, 8080, 8081, 8079, 8078, 8076, 8077, 8210, 8211, 8208, 8209, 8213, 8212, 8203, 8202, 8206, 8207, 8204, 8205, 8175, 8174, 8176, 8177, 8173, 8172, 8101, 8100, 8103, 8102, 8104, 8105, 8155, 8154, 8156, 8157, 8159, 8158, 8115, 8114, 8117, 8116, 8112, 8113, 8083, 8082, 8087, 8086, 8085, 8084, 8195, 8194, 8193, 8192, 8191, 8190, 8225, 8224, 8221, 8220, 8223, 8222, 8241, 8240, 8239, 8238, 8242, 8243, 8216, 8217, 8219, 8218, 8215, 8214, 8099, 8098, 8094, 8095, 8096, 8097, 8092, 8093, 8089, 8088, 8090, 8091, 8141, 8140, 8139, 8138, 8136, 8137, 8134, 8135, 8131, 8130, 8133, 8132, 8228, 8229, 8227, 8226, 8231, 8230, 8253, 8252, 8251, 8250, 8254, 8255, 8107, 8106, 8110, 8111, 8109, 8108, 8127, 8126, 8129, 8128, 8125, 8124, 7014, 7015, 7016, 7017, 7019, 7018, 7062, 7063, 7067, 7066, 7064, 7065, 6945, 6944, 6942, 6943, 6947, 6946, 6932, 6933, 6934, 6935, 6931, 6930, 7023, 7022, 7020, 7021, 7025, 7024, 6912, 6913, 6917, 6916, 6914, 6915, 6971, 6970, 6966, 6967, 6968, 6969, 6994, 6995, 6992, 6993, 6991, 6990, 6923, 6922, 6921, 6920, 6919, 6918, 7026, 7027, 7030, 7031, 7029, 7028, 7084, 7085, 7081, 7080, 7083, 7082, 7004, 7005, 7006, 7007, 7002, 7003, 6925, 6924, 6928, 6929, 6926, 6927, 7061, 7060] +private def clayworthS_inv_c4 : Array (Fin 12096) := #[7057, 7056, 7058, 7059, 7054, 7055, 7051, 7050, 7052, 7053, 7094, 7095, 7097, 7096, 7093, 7092, 7045, 7044, 7047, 7046, 7048, 7049, 7043, 7042, 7040, 7041, 7038, 7039, 7078, 7079, 7076, 7077, 7074, 7075, 7010, 7011, 7012, 7013, 7008, 7009, 7034, 7035, 7037, 7036, 7033, 7032, 6952, 6953, 6951, 6950, 6948, 6949, 6998, 6999, 6996, 6997, 7000, 7001, 6972, 6973, 6977, 6976, 6974, 6975, 6985, 6984, 6987, 6986, 6989, 6988, 6936, 6937, 6941, 6940, 6938, 6939, 6956, 6957, 6955, 6954, 6958, 6959, 7073, 7072, 7069, 7068, 7071, 7070, 6983, 6982, 6981, 6980, 6979, 6978, 7089, 7088, 7090, 7091, 7086, 7087, 7100, 7101, 7103, 7102, 7099, 7098, 6962, 6963, 6960, 6961, 6964, 6965, 196, 197, 194, 195, 193, 192, 212, 213, 210, 211, 214, 215, 335, 334, 331, 330, 333, 332, 299, 298, 296, 297, 295, 294, 329, 328, 325, 324, 326, 327, 308, 309, 311, 310, 306, 307, 273, 272, 275, 274, 271, 270, 318, 319, 323, 322, 321, 320, 304, 305, 303, 302, 301, 300, 250, 251, 248, 249, 247, 246, 291, 290, 293, 292, 289, 288, 348, 349, 351, 350, 352, 353, 377, 376, 374, 375, 373, 372, 277, 276, 279, 278, 280, 281, 366, 367, 368, 369, 370, 371, 202, 203, 198, 199, 200, 201, 347, 346, 345, 344, 342, 343, 284, 285, 286, 287, 283, 282, 316, 317, 315, 314, 313, 312, 228, 229, 232, 233, 231, 230, 218, 219, 221, 220, 216, 217, 358, 359, 355, 354, 357, 356, 339, 338, 337, 336, 340, 341, 208, 209, 204, 205, 207, 206, 268, 269, 266, 267, 265, 264, 260, 261, 263, 262, 258, 259, 236, 237, 239, 238, 235, 234, 227, 226, 222, 223, 225, 224, 254, 255, 252, 253, 257, 256, 361, 360, 365, 364, 363, 362, 383, 382, 380, 381, 379, 378, 240, 241, 244, 245, 242, 243, 3681, 3680, 3678, 3679, 3683, 3682, 3739, 3738, 3741, 3740, 3742, 3743, 3799, 3798, 3803, 3802, 3801, 3800, 3757, 3756, 3761, 3760, 3759, 3758, 3782, 3783, 3780, 3781, 3785, 3784, 3766, 3767, 3763, 3762, 3764, 3765, 3724, 3725, 3723, 3722, 3720, 3721, 3768, 3769, 3771, 3770, 3773, 3772, 3652, 3653, 3648, 3649, 3650, 3651, 3698, 3699, 3701, 3700, 3697, 3696, 3748, 3749, 3746, 3747, 3745, 3744, 3691, 3690, 3694, 3695, 3692, 3693, 3787, 3786, 3789, 3788, 3790, 3791, 3672, 3673, 3677, 3676, 3674, 3675, 3751, 3750, 3752, 3753, 3755, 3754, 3655, 3654, 3658, 3659, 3657, 3656, 3835, 3834, 3837, 3836, 3839, 3838, 3778, 3779, 3777, 3776, 3775, 3774, 3805, 3804, 3809, 3808, 3806, 3807, 3661, 3660, 3664, 3665, 3663, 3662, 3820, 3821, 3818, 3819, 3816, 3817, 3735, 3734, 3733, 3732, 3737, 3736, 3670, 3671, 3669, 3668, 3667, 3666, 3822, 3823, 3827, 3826, 3825, 3824, 3728, 3729, 3727, 3726, 3731, 3730, 3796, 3797, 3792, 3793, 3795, 3794, 3718, 3719, 3715, 3714, 3717, 3716, 3709, 3708, 3710, 3711, 3712, 3713, 3810, 3811, 3815, 3814, 3812, 3813, 3706, 3707, 3705, 3704, 3702, 3703, 3830, 3831, 3828, 3829, 3832, 3833, 3687, 3686, 3689, 3688, 3685, 3684, 5274, 5275, 5277, 5276] +private def clayworthS_inv_c5 : Array (Fin 12096) := #[5278, 5279, 5187, 5186, 5188, 5189, 5184, 5185, 5335, 5334, 5339, 5338, 5336, 5337, 5211, 5210, 5213, 5212, 5209, 5208, 5197, 5196, 5198, 5199, 5200, 5201, 5314, 5315, 5311, 5310, 5312, 5313, 5285, 5284, 5282, 5283, 5281, 5280, 5306, 5307, 5304, 5305, 5308, 5309, 5294, 5295, 5293, 5292, 5296, 5297, 5193, 5192, 5191, 5190, 5195, 5194, 5230, 5231, 5228, 5229, 5227, 5226, 5291, 5290, 5289, 5288, 5286, 5287, 5242, 5243, 5238, 5239, 5240, 5241, 5258, 5259, 5257, 5256, 5261, 5260, 5222, 5223, 5220, 5221, 5224, 5225, 5323, 5322, 5326, 5327, 5325, 5324, 5301, 5300, 5302, 5303, 5298, 5299, 5374, 5375, 5370, 5371, 5372, 5373, 5340, 5341, 5343, 5342, 5345, 5344, 5356, 5357, 5352, 5353, 5355, 5354, 5331, 5330, 5333, 5332, 5328, 5329, 5363, 5362, 5358, 5359, 5361, 5360, 5270, 5271, 5268, 5269, 5273, 5272, 5245, 5244, 5246, 5247, 5249, 5248, 5205, 5204, 5206, 5207, 5202, 5203, 5266, 5267, 5263, 5262, 5264, 5265, 5317, 5316, 5319, 5318, 5320, 5321, 5215, 5214, 5216, 5217, 5219, 5218, 5350, 5351, 5347, 5346, 5349, 5348, 5254, 5255, 5252, 5253, 5250, 5251, 5367, 5366, 5368, 5369, 5364, 5365, 5235, 5234, 5237, 5236, 5233, 5232, 7776, 7777, 7778, 7779, 7781, 7780, 7683, 7682, 7685, 7684, 7681, 7680, 7823, 7822, 7821, 7820, 7818, 7819, 7788, 7789, 7790, 7791, 7792, 7793, 7816, 7817, 7813, 7812, 7814, 7815, 7688, 7689, 7687, 7686, 7691, 7690, 7750, 7751, 7749, 7748, 7747, 7746, 7756, 7757, 7754, 7755, 7752, 7753, 7785, 7784, 7787, 7786, 7783, 7782, 7860, 7861, 7865, 7864, 7863, 7862, 7766, 7767, 7765, 7764, 7769, 7768, 7740, 7741, 7745, 7744, 7742, 7743, 7803, 7802, 7805, 7804, 7801, 7800, 7836, 7837, 7838, 7839, 7840, 7841, 7797, 7796, 7799, 7798, 7795, 7794, 7716, 7717, 7718, 7719, 7721, 7720, 7693, 7692, 7697, 7696, 7695, 7694, 7827, 7826, 7829, 7828, 7824, 7825, 7808, 7809, 7810, 7811, 7807, 7806, 7846, 7847, 7843, 7842, 7844, 7845, 7705, 7704, 7708, 7709, 7707, 7706, 7859, 7858, 7856, 7857, 7854, 7855, 7772, 7773, 7775, 7774, 7770, 7771, 7732, 7733, 7730, 7731, 7728, 7729, 7714, 7715, 7713, 7712, 7711, 7710, 7832, 7833, 7831, 7830, 7835, 7834, 7699, 7698, 7702, 7703, 7700, 7701, 7734, 7735, 7737, 7736, 7738, 7739, 7724, 7725, 7726, 7727, 7722, 7723, 7848, 7849, 7853, 7852, 7851, 7850, 7760, 7761, 7758, 7759, 7762, 7763, 7871, 7870, 7869, 7868, 7867, 7866, 393, 392, 395, 394, 390, 391, 504, 505, 508, 509, 507, 506, 519, 518, 517, 516, 521, 520, 446, 447, 448, 449, 444, 445, 511, 510, 513, 512, 515, 514, 460, 461, 458, 459, 456, 457, 496, 497, 495, 494, 492, 493, 545, 544, 541, 540, 543, 542, 558, 559, 563, 562, 561, 560, 468, 469, 472, 473, 470, 471, 435, 434, 436, 437, 433, 432, 523, 522, 525, 524, 527, 526, 387, 386, 384, 385, 388, 389, 536, 537, 535, 534, 538, 539, 416, 417, 414, 415, 418, 419, 499, 498, 500, 501, 503, 502, 443, 442, 438, 439, 441, 440, 396, 397, 400, 401, 398, 399, 564, 565, 568, 569, 567, 566, 530, 531, 533, 532, 529, 528] +private def clayworthS_inv_c6 : Array (Fin 12096) := #[412, 413, 408, 409, 410, 411, 489, 488, 491, 490, 487, 486, 425, 424, 422, 423, 420, 421, 547, 546, 551, 550, 548, 549, 482, 483, 485, 484, 481, 480, 464, 465, 462, 463, 466, 467, 478, 479, 477, 476, 475, 474, 403, 402, 407, 406, 405, 404, 429, 428, 427, 426, 431, 430, 553, 552, 555, 554, 556, 557, 573, 572, 575, 574, 571, 570, 450, 451, 452, 453, 455, 454, 6763, 6762, 6764, 6765, 6767, 6766, 6895, 6894, 6898, 6899, 6897, 6896, 6875, 6874, 6871, 6870, 6873, 6872, 6835, 6834, 6839, 6838, 6837, 6836, 6867, 6866, 6864, 6865, 6869, 6868, 6842, 6843, 6840, 6841, 6845, 6844, 6722, 6723, 6721, 6720, 6725, 6724, 6815, 6814, 6812, 6813, 6811, 6810, 6727, 6726, 6731, 6730, 6729, 6728, 6791, 6790, 6789, 6788, 6787, 6786, 6833, 6832, 6828, 6829, 6830, 6831, 6901, 6900, 6903, 6902, 6904, 6905, 6799, 6798, 6803, 6802, 6800, 6801, 6824, 6825, 6827, 6826, 6822, 6823, 6847, 6846, 6848, 6849, 6851, 6850, 6893, 6892, 6889, 6888, 6891, 6890, 6776, 6777, 6779, 6778, 6775, 6774, 6733, 6732, 6737, 6736, 6735, 6734, 6907, 6906, 6908, 6909, 6910, 6911, 6877, 6876, 6879, 6878, 6880, 6881, 6862, 6863, 6861, 6860, 6859, 6858, 6852, 6853, 6854, 6855, 6856, 6857, 6761, 6760, 6758, 6759, 6756, 6757, 6746, 6747, 6749, 6748, 6744, 6745, 6816, 6817, 6818, 6819, 6820, 6821, 6793, 6792, 6795, 6794, 6797, 6796, 6743, 6742, 6739, 6738, 6741, 6740, 6809, 6808, 6805, 6804, 6806, 6807, 6884, 6885, 6883, 6882, 6887, 6886, 6753, 6752, 6751, 6750, 6755, 6754, 6770, 6771, 6769, 6768, 6773, 6772, 6781, 6780, 6784, 6785, 6782, 6783, 4069, 4068, 4073, 4072, 4070, 4071, 4037, 4036, 4035, 4034, 4032, 4033, 4054, 4055, 4050, 4051, 4052, 4053, 4140, 4141, 4144, 4145, 4142, 4143, 4039, 4038, 4040, 4041, 4042, 4043, 4087, 4086, 4088, 4089, 4091, 4090, 4120, 4121, 4118, 4119, 4116, 4117, 4166, 4167, 4164, 4165, 4168, 4169, 4044, 4045, 4048, 4049, 4046, 4047, 4149, 4148, 4147, 4146, 4151, 4150, 4137, 4136, 4139, 4138, 4134, 4135, 4205, 4204, 4200, 4201, 4202, 4203, 4216, 4217, 4215, 4214, 4212, 4213, 4108, 4109, 4104, 4105, 4106, 4107, 4131, 4130, 4128, 4129, 4132, 4133, 4080, 4081, 4084, 4085, 4082, 4083, 4159, 4158, 4160, 4161, 4162, 4163, 4172, 4173, 4170, 4171, 4175, 4174, 4155, 4154, 4156, 4157, 4152, 4153, 4056, 4057, 4060, 4061, 4058, 4059, 4198, 4199, 4194, 4195, 4196, 4197, 4066, 4067, 4064, 4065, 4062, 4063, 4191, 4190, 4193, 4192, 4189, 4188, 4211, 4210, 4207, 4206, 4208, 4209, 4125, 4124, 4127, 4126, 4123, 4122, 4095, 4094, 4093, 4092, 4096, 4097, 4186, 4187, 4185, 4184, 4182, 4183, 4113, 4112, 4114, 4115, 4111, 4110, 4178, 4179, 4176, 4177, 4180, 4181, 4101, 4100, 4099, 4098, 4103, 4102, 4222, 4223, 4221, 4220, 4219, 4218, 4076, 4077, 4079, 4078, 4075, 4074, 6174, 6175, 6176, 6177, 6179, 6178, 6149, 6148, 6147, 6146, 6145, 6144, 6294, 6295, 6298, 6299, 6296, 6297, 6302, 6303, 6304, 6305, 6300, 6301, 6267, 6266, 6268, 6269, 6264, 6265, 6151, 6150, 6153, 6152, 6155, 6154, 6191, 6190, 6186, 6187, 6188, 6189, 6253, 6252] +private def clayworthS_inv_c7 : Array (Fin 12096) := #[6257, 6256, 6255, 6254, 6158, 6159, 6161, 6160, 6156, 6157, 6236, 6237, 6238, 6239, 6235, 6234, 6197, 6196, 6192, 6193, 6195, 6194, 6318, 6319, 6323, 6322, 6320, 6321, 6218, 6219, 6216, 6217, 6221, 6220, 6244, 6245, 6240, 6241, 6242, 6243, 6283, 6282, 6286, 6287, 6284, 6285, 6277, 6276, 6281, 6280, 6279, 6278, 6228, 6229, 6231, 6230, 6232, 6233, 6185, 6184, 6182, 6183, 6181, 6180, 6324, 6325, 6327, 6326, 6329, 6328, 6260, 6261, 6262, 6263, 6258, 6259, 6167, 6166, 6163, 6162, 6165, 6164, 6224, 6225, 6227, 6226, 6223, 6222, 6251, 6250, 6247, 6246, 6249, 6248, 6290, 6291, 6293, 6292, 6288, 6289, 6310, 6311, 6306, 6307, 6308, 6309, 6214, 6215, 6211, 6210, 6212, 6213, 6208, 6209, 6205, 6204, 6206, 6207, 6273, 6272, 6270, 6271, 6275, 6274, 6170, 6171, 6172, 6173, 6168, 6169, 6200, 6201, 6202, 6203, 6198, 6199, 6314, 6315, 6312, 6313, 6317, 6316, 6334, 6335, 6333, 6332, 6330, 6331, 10755, 10754, 10756, 10757, 10753, 10752, 10785, 10784, 10783, 10782, 10787, 10786, 10899, 10898, 10896, 10897, 10900, 10901, 10875, 10874, 10873, 10872, 10876, 10877, 10758, 10759, 10762, 10763, 10761, 10760, 10765, 10764, 10769, 10768, 10767, 10766, 10868, 10869, 10867, 10866, 10871, 10870, 10823, 10822, 10820, 10821, 10818, 10819, 10830, 10831, 10834, 10835, 10832, 10833, 10940, 10941, 10942, 10943, 10939, 10938, 10885, 10884, 10887, 10886, 10889, 10888, 10775, 10774, 10772, 10773, 10771, 10770, 10902, 10903, 10904, 10905, 10907, 10906, 10921, 10920, 10922, 10923, 10925, 10924, 10881, 10880, 10882, 10883, 10879, 10878, 10788, 10789, 10791, 10790, 10793, 10792, 10863, 10862, 10860, 10861, 10864, 10865, 10815, 10814, 10816, 10817, 10813, 10812, 10780, 10781, 10779, 10778, 10777, 10776, 10908, 10909, 10910, 10911, 10912, 10913, 10936, 10937, 10935, 10934, 10933, 10932, 10856, 10857, 10854, 10855, 10858, 10859, 10892, 10893, 10894, 10895, 10891, 10890, 10798, 10799, 10796, 10797, 10794, 10795, 10848, 10849, 10851, 10850, 10852, 10853, 10847, 10846, 10845, 10844, 10842, 10843, 10838, 10839, 10841, 10840, 10837, 10836, 10916, 10917, 10914, 10915, 10918, 10919, 10802, 10803, 10804, 10805, 10800, 10801, 10928, 10929, 10927, 10926, 10931, 10930, 10826, 10827, 10824, 10825, 10828, 10829, 10810, 10811, 10806, 10807, 10808, 10809, 11581, 11580, 11583, 11582, 11585, 11584, 11640, 11641, 11643, 11642, 11644, 11645, 11522, 11523, 11524, 11525, 11521, 11520, 11693, 11692, 11688, 11689, 11690, 11691, 11558, 11559, 11556, 11557, 11560, 11561, 11680, 11681, 11679, 11678, 11676, 11677, 11526, 11527, 11529, 11528, 11531, 11530, 11665, 11664, 11669, 11668, 11666, 11667, 11537, 11536, 11535, 11534, 11532, 11533, 11608, 11609, 11606, 11607, 11605, 11604, 11648, 11649, 11650, 11651, 11647, 11646, 11635, 11634, 11637, 11636, 11639, 11638, 11588, 11589, 11590, 11591, 11586, 11587, 11540, 11541, 11538, 11539, 11542, 11543, 11673, 11672, 11675, 11674, 11670, 11671, 11654, 11655, 11657, 11656, 11653, 11652, 11568, 11569, 11571, 11570, 11573, 11572, 11596, 11597, 11593, 11592, 11594, 11595, 11545, 11544, 11549, 11548, 11547, 11546, 11700, 11701, 11704, 11705, 11702, 11703, 11660, 11661, 11663, 11662, 11658, 11659, 11683, 11682, 11685, 11684, 11687, 11686, 11566, 11567, 11564, 11565, 11562, 11563, 11628, 11629, 11631, 11630, 11632, 11633, 11612, 11613, 11610, 11611, 11614, 11615, 11627, 11626, 11623, 11622, 11624, 11625, 11550, 11551, 11553, 11552] +private def clayworthS_inv_c8 : Array (Fin 12096) := #[11555, 11554, 11576, 11577, 11575, 11574, 11579, 11578, 11619, 11618, 11621, 11620, 11617, 11616, 11694, 11695, 11699, 11698, 11697, 11696, 11710, 11711, 11708, 11709, 11707, 11706, 11600, 11601, 11602, 11603, 11598, 11599, 4658, 4659, 4656, 4657, 4660, 4661, 4699, 4698, 4701, 4700, 4703, 4702, 4610, 4611, 4612, 4613, 4608, 4609, 4763, 4762, 4760, 4761, 4758, 4759, 4633, 4632, 4635, 4634, 4636, 4637, 4685, 4684, 4683, 4682, 4680, 4681, 4614, 4615, 4618, 4619, 4616, 4617, 4712, 4713, 4711, 4710, 4715, 4714, 4678, 4679, 4676, 4677, 4674, 4675, 4770, 4771, 4772, 4773, 4774, 4775, 4694, 4695, 4692, 4693, 4696, 4697, 4786, 4787, 4783, 4782, 4785, 4784, 4664, 4665, 4662, 4663, 4666, 4667, 4717, 4716, 4719, 4718, 4721, 4720, 4730, 4731, 4729, 4728, 4733, 4732, 4741, 4740, 4744, 4745, 4743, 4742, 4737, 4736, 4735, 4734, 4739, 4738, 4705, 4704, 4706, 4707, 4708, 4709, 4625, 4624, 4623, 4622, 4621, 4620, 4789, 4788, 4793, 4792, 4790, 4791, 4727, 4726, 4725, 4724, 4722, 4723, 4751, 4750, 4747, 4746, 4749, 4748, 4764, 4765, 4766, 4767, 4769, 4768, 4648, 4649, 4646, 4647, 4645, 4644, 4778, 4779, 4776, 4777, 4781, 4780, 4689, 4688, 4690, 4691, 4686, 4687, 4626, 4627, 4630, 4631, 4628, 4629, 4654, 4655, 4653, 4652, 4650, 4651, 4642, 4643, 4638, 4639, 4640, 4641, 4753, 4752, 4755, 4754, 4756, 4757, 4798, 4799, 4796, 4797, 4794, 4795, 4669, 4668, 4671, 4670, 4672, 4673, 5572, 5573, 5570, 5571, 5568, 5569, 5724, 5725, 5728, 5729, 5727, 5726, 5581, 5580, 5583, 5582, 5585, 5584, 5695, 5694, 5699, 5698, 5696, 5697, 5672, 5673, 5670, 5671, 5674, 5675, 5577, 5576, 5574, 5575, 5579, 5578, 5679, 5678, 5677, 5676, 5680, 5681, 5666, 5667, 5665, 5664, 5668, 5669, 5626, 5627, 5624, 5625, 5623, 5622, 5660, 5661, 5663, 5662, 5658, 5659, 5743, 5742, 5747, 5746, 5745, 5744, 5644, 5645, 5642, 5643, 5640, 5641, 5741, 5740, 5737, 5736, 5738, 5739, 5691, 5690, 5689, 5688, 5693, 5692, 5708, 5709, 5706, 5707, 5710, 5711, 5618, 5619, 5617, 5616, 5621, 5620, 5751, 5750, 5753, 5752, 5749, 5748, 5700, 5701, 5702, 5703, 5705, 5704, 5684, 5685, 5686, 5687, 5682, 5683, 5716, 5717, 5713, 5712, 5714, 5715, 5594, 5595, 5596, 5597, 5592, 5593, 5600, 5601, 5602, 5603, 5599, 5598, 5732, 5733, 5730, 5731, 5734, 5735, 5656, 5657, 5653, 5652, 5654, 5655, 5629, 5628, 5633, 5632, 5630, 5631, 5589, 5588, 5591, 5590, 5587, 5586, 5650, 5651, 5646, 5647, 5648, 5649, 5609, 5608, 5607, 5606, 5604, 5605, 5721, 5720, 5722, 5723, 5718, 5719, 5637, 5636, 5638, 5639, 5635, 5634, 5759, 5758, 5757, 5756, 5755, 5754, 5613, 5612, 5611, 5610, 5615, 5614, 11377, 11376, 11381, 11380, 11379, 11378, 11430, 11431, 11432, 11433, 11434, 11435, 11342, 11343, 11344, 11345, 11340, 11341, 11452, 11453, 11450, 11451, 11448, 11449, 11328, 11329, 11330, 11331, 11332, 11333, 11499, 11498, 11500, 11501, 11496, 11497, 11400, 11401, 11403, 11402, 11405, 11404, 11425, 11424, 11426, 11427, 11429, 11428, 11339, 11338, 11335, 11334, 11336, 11337, 11444, 11445, 11446, 11447, 11442, 11443, 11478, 11479, 11480, 11481, 11483, 11482, 11474, 11475, 11472, 11473, 11476, 11477, 11358, 11359, 11360, 11361, 11362, 11363, 11437, 11436, 11438, 11439, 11440, 11441] +private def clayworthS_inv_c9 : Array (Fin 12096) := #[11384, 11385, 11383, 11382, 11386, 11387, 11455, 11454, 11456, 11457, 11458, 11459, 11488, 11489, 11484, 11485, 11487, 11486, 11346, 11347, 11351, 11350, 11349, 11348, 11494, 11495, 11492, 11493, 11490, 11491, 11370, 11371, 11375, 11374, 11372, 11373, 11354, 11355, 11357, 11356, 11353, 11352, 11502, 11503, 11504, 11505, 11507, 11506, 11422, 11423, 11418, 11419, 11420, 11421, 11469, 11468, 11467, 11466, 11471, 11470, 11416, 11417, 11414, 11415, 11412, 11413, 11407, 11406, 11410, 11411, 11409, 11408, 11463, 11462, 11464, 11465, 11461, 11460, 11368, 11369, 11364, 11365, 11366, 11367, 11396, 11397, 11394, 11395, 11399, 11398, 11508, 11509, 11513, 11512, 11511, 11510, 11518, 11519, 11517, 11516, 11514, 11515, 11389, 11388, 11390, 11391, 11392, 11393, 3314, 3315, 3312, 3313, 3316, 3317, 3265, 3264, 3267, 3266, 3268, 3269, 3285, 3284, 3287, 3286, 3283, 3282, 3401, 3400, 3399, 3398, 3397, 3396, 3379, 3378, 3383, 3382, 3380, 3381, 3334, 3335, 3331, 3330, 3332, 3333, 3370, 3371, 3366, 3367, 3368, 3369, 3384, 3385, 3389, 3388, 3386, 3387, 3273, 3272, 3274, 3275, 3271, 3270, 3346, 3347, 3344, 3345, 3342, 3343, 3448, 3449, 3446, 3447, 3444, 3445, 3356, 3357, 3358, 3359, 3354, 3355, 3390, 3391, 3393, 3392, 3395, 3394, 3420, 3421, 3425, 3424, 3423, 3422, 3415, 3414, 3417, 3416, 3418, 3419, 3288, 3289, 3291, 3290, 3293, 3292, 3329, 3328, 3325, 3324, 3327, 3326, 3451, 3450, 3455, 3454, 3452, 3453, 3430, 3431, 3426, 3427, 3429, 3428, 3374, 3375, 3372, 3373, 3377, 3376, 3303, 3302, 3304, 3305, 3301, 3300, 3348, 3349, 3351, 3350, 3353, 3352, 3412, 3413, 3410, 3411, 3409, 3408, 3363, 3362, 3365, 3364, 3360, 3361, 3404, 3405, 3407, 3406, 3403, 3402, 3276, 3277, 3280, 3281, 3279, 3278, 3308, 3309, 3306, 3307, 3311, 3310, 3295, 3294, 3296, 3297, 3299, 3298, 3432, 3433, 3434, 3435, 3437, 3436, 3438, 3439, 3442, 3443, 3441, 3440, 3320, 3321, 3323, 3322, 3318, 3319, 3336, 3337, 3339, 3338, 3340, 3341, 7380, 7381, 7383, 7382, 7385, 7384, 7472, 7473, 7475, 7474, 7471, 7470, 7398, 7399, 7400, 7401, 7402, 7403, 7431, 7430, 7429, 7428, 7433, 7432, 7423, 7422, 7427, 7426, 7425, 7424, 7297, 7296, 7301, 7300, 7299, 7298, 7404, 7405, 7407, 7406, 7409, 7408, 7349, 7348, 7346, 7347, 7344, 7345, 7388, 7389, 7390, 7391, 7386, 7387, 7477, 7476, 7479, 7478, 7481, 7480, 7367, 7366, 7363, 7362, 7365, 7364, 7453, 7452, 7457, 7456, 7454, 7455, 7447, 7446, 7451, 7450, 7448, 7449, 7413, 7412, 7414, 7415, 7411, 7410, 7393, 7392, 7397, 7396, 7395, 7394, 7303, 7302, 7306, 7307, 7304, 7305, 7434, 7435, 7437, 7436, 7438, 7439, 7468, 7469, 7465, 7464, 7466, 7467, 7325, 7324, 7322, 7323, 7321, 7320, 7421, 7420, 7416, 7417, 7419, 7418, 7337, 7336, 7334, 7335, 7333, 7332, 7458, 7459, 7463, 7462, 7460, 7461, 7374, 7375, 7376, 7377, 7379, 7378, 7350, 7351, 7353, 7352, 7354, 7355, 7440, 7441, 7444, 7445, 7442, 7443, 7315, 7314, 7319, 7318, 7317, 7316, 7369, 7368, 7372, 7373, 7370, 7371, 7308, 7309, 7311, 7310, 7313, 7312, 7338, 7339, 7340, 7341, 7342, 7343, 7329, 7328, 7326, 7327, 7331, 7330, 7356, 7357, 7360, 7361, 7358, 7359, 7485, 7484, 7482, 7483, 7487, 7486, 642, 643, 644, 645, 647, 646, 580, 581] +private def clayworthS_inv_c10 : Array (Fin 12096) := #[577, 576, 578, 579, 596, 597, 599, 598, 594, 595, 700, 701, 698, 699, 697, 696, 654, 655, 659, 658, 657, 656, 686, 687, 689, 688, 684, 685, 665, 664, 662, 663, 660, 661, 582, 583, 584, 585, 586, 587, 592, 593, 591, 590, 588, 589, 728, 729, 731, 730, 727, 726, 752, 753, 754, 755, 750, 751, 746, 747, 749, 748, 745, 744, 693, 692, 694, 695, 691, 690, 712, 713, 709, 708, 710, 711, 669, 668, 670, 671, 666, 667, 648, 649, 650, 651, 653, 652, 638, 639, 640, 641, 637, 636, 600, 601, 604, 605, 602, 603, 759, 758, 757, 756, 761, 760, 681, 680, 683, 682, 678, 679, 676, 677, 675, 674, 672, 673, 628, 629, 626, 627, 624, 625, 715, 714, 716, 717, 719, 718, 614, 615, 616, 617, 612, 613, 736, 737, 732, 733, 734, 735, 705, 704, 702, 703, 706, 707, 608, 609, 611, 610, 606, 607, 622, 623, 619, 618, 620, 621, 723, 722, 720, 721, 725, 724, 738, 739, 742, 743, 741, 740, 767, 766, 765, 764, 763, 762, 635, 634, 630, 631, 633, 632, 8288, 8289, 8287, 8286, 8291, 8290, 8346, 8347, 8348, 8349, 8350, 8351, 8413, 8412, 8417, 8416, 8414, 8415, 8374, 8375, 8373, 8372, 8370, 8371, 8353, 8352, 8356, 8357, 8355, 8354, 8305, 8304, 8306, 8307, 8309, 8308, 8314, 8315, 8313, 8312, 8310, 8311, 8418, 8419, 8422, 8423, 8421, 8420, 8438, 8439, 8441, 8440, 8437, 8436, 8324, 8325, 8327, 8326, 8323, 8322, 8341, 8340, 8345, 8344, 8343, 8342, 8432, 8433, 8434, 8435, 8430, 8431, 8301, 8300, 8302, 8303, 8299, 8298, 8258, 8259, 8257, 8256, 8261, 8260, 8394, 8395, 8396, 8397, 8399, 8398, 8274, 8275, 8276, 8277, 8278, 8279, 8263, 8262, 8267, 8266, 8265, 8264, 8442, 8443, 8447, 8446, 8445, 8444, 8376, 8377, 8380, 8381, 8379, 8378, 8366, 8367, 8369, 8368, 8364, 8365, 8362, 8363, 8360, 8361, 8359, 8358, 8400, 8401, 8404, 8405, 8402, 8403, 8424, 8425, 8428, 8429, 8426, 8427, 8392, 8393, 8390, 8391, 8389, 8388, 8269, 8268, 8273, 8272, 8271, 8270, 8339, 8338, 8336, 8337, 8335, 8334, 8329, 8328, 8331, 8330, 8332, 8333, 8384, 8385, 8386, 8387, 8382, 8383, 8284, 8285, 8283, 8282, 8280, 8281, 8407, 8406, 8409, 8408, 8411, 8410, 8318, 8319, 8320, 8321, 8316, 8317, 8295, 8294, 8296, 8297, 8292, 8293, 9408, 9409, 9410, 9411, 9413, 9412, 9566, 9567, 9569, 9568, 9564, 9565, 9440, 9441, 9442, 9443, 9438, 9439, 9429, 9428, 9431, 9430, 9427, 9426, 9501, 9500, 9498, 9499, 9503, 9502, 9525, 9524, 9526, 9527, 9522, 9523, 9507, 9506, 9504, 9505, 9509, 9508, 9491, 9490, 9489, 9488, 9486, 9487, 9419, 9418, 9414, 9415, 9416, 9417, 9496, 9497, 9492, 9493, 9495, 9494, 9573, 9572, 9575, 9574, 9570, 9571, 9470, 9471, 9469, 9468, 9473, 9472, 9583, 9582, 9584, 9585, 9586, 9587, 9460, 9461, 9459, 9458, 9457, 9456, 9511, 9510, 9512, 9513, 9515, 9514, 9422, 9423, 9420, 9421, 9425, 9424, 9530, 9531, 9533, 9532, 9528, 9529, 9546, 9547, 9550, 9551, 9549, 9548, 9444, 9445, 9446, 9447, 9448, 9449, 9592, 9593, 9588, 9589, 9590, 9591, 9534, 9535, 9538, 9539] +private def clayworthS_inv_c11 : Array (Fin 12096) := #[9536, 9537, 9521, 9520, 9519, 9518, 9517, 9516, 9562, 9563, 9559, 9558, 9560, 9561, 9553, 9552, 9557, 9556, 9554, 9555, 9484, 9485, 9483, 9482, 9481, 9480, 9478, 9479, 9475, 9474, 9477, 9476, 9543, 9542, 9540, 9541, 9544, 9545, 9434, 9435, 9437, 9436, 9432, 9433, 9454, 9455, 9450, 9451, 9452, 9453, 9464, 9465, 9466, 9467, 9462, 9463, 9580, 9581, 9578, 9579, 9576, 9577, 9598, 9599, 9596, 9597, 9595, 9594, 9236, 9237, 9234, 9235, 9238, 9239, 9289, 9288, 9290, 9291, 9292, 9293, 9373, 9372, 9374, 9375, 9377, 9376, 9340, 9341, 9337, 9336, 9338, 9339, 9332, 9333, 9334, 9335, 9331, 9330, 9315, 9314, 9312, 9313, 9316, 9317, 9324, 9325, 9328, 9329, 9326, 9327, 9307, 9306, 9311, 9310, 9309, 9308, 9299, 9298, 9295, 9294, 9297, 9296, 9265, 9264, 9269, 9268, 9267, 9266, 9278, 9279, 9280, 9281, 9276, 9277, 9394, 9395, 9390, 9391, 9392, 9393, 9247, 9246, 9250, 9251, 9249, 9248, 9323, 9322, 9319, 9318, 9320, 9321, 9356, 9357, 9354, 9355, 9359, 9358, 9300, 9301, 9303, 9302, 9305, 9304, 9397, 9396, 9399, 9398, 9400, 9401, 9342, 9343, 9347, 9346, 9344, 9345, 9378, 9379, 9380, 9381, 9382, 9383, 9285, 9284, 9287, 9286, 9283, 9282, 9231, 9230, 9232, 9233, 9228, 9229, 9360, 9361, 9365, 9364, 9363, 9362, 9227, 9226, 9224, 9225, 9223, 9222, 9259, 9258, 9263, 9262, 9260, 9261, 9270, 9271, 9274, 9275, 9272, 9273, 9350, 9351, 9349, 9348, 9352, 9353, 9217, 9216, 9221, 9220, 9219, 9218, 9367, 9366, 9368, 9369, 9371, 9370, 9387, 9386, 9384, 9385, 9389, 9388, 9406, 9407, 9405, 9404, 9403, 9402, 9242, 9243, 9240, 9241, 9244, 9245, 9253, 9252, 9255, 9254, 9257, 9256, 7159, 7158, 7161, 7160, 7162, 7163, 7207, 7206, 7208, 7209, 7211, 7210, 7108, 7109, 7104, 7105, 7106, 7107, 7270, 7271, 7266, 7267, 7268, 7269, 7130, 7131, 7128, 7129, 7133, 7132, 7120, 7121, 7117, 7116, 7119, 7118, 7223, 7222, 7219, 7218, 7221, 7220, 7239, 7238, 7237, 7236, 7240, 7241, 7199, 7198, 7196, 7197, 7194, 7195, 7231, 7230, 7233, 7232, 7235, 7234, 7180, 7181, 7177, 7176, 7178, 7179, 7281, 7280, 7282, 7283, 7279, 7278, 7295, 7294, 7291, 7290, 7292, 7293, 7227, 7226, 7225, 7224, 7228, 7229, 7114, 7115, 7112, 7113, 7111, 7110, 7215, 7214, 7213, 7212, 7216, 7217, 7173, 7172, 7175, 7174, 7170, 7171, 7242, 7243, 7244, 7245, 7246, 7247, 7135, 7134, 7138, 7139, 7136, 7137, 7276, 7277, 7272, 7273, 7274, 7275, 7254, 7255, 7256, 7257, 7259, 7258, 7144, 7145, 7142, 7143, 7140, 7141, 7289, 7288, 7284, 7285, 7287, 7286, 7201, 7200, 7203, 7202, 7205, 7204, 7183, 7182, 7185, 7184, 7187, 7186, 7193, 7192, 7188, 7189, 7191, 7190, 7249, 7248, 7250, 7251, 7253, 7252, 7123, 7122, 7124, 7125, 7126, 7127, 7152, 7153, 7154, 7155, 7156, 7157, 7149, 7148, 7146, 7147, 7151, 7150, 7260, 7261, 7265, 7264, 7263, 7262, 7164, 7165, 7169, 7168, 7166, 7167, 2258, 2259, 2256, 2257, 2260, 2261, 2135, 2134, 2131, 2130, 2133, 2132, 2225, 2224, 2220, 2221, 2223, 2222, 2182, 2183, 2178, 2179, 2181, 2180, 2208, 2209, 2210, 2211, 2213, 2212, 2114, 2115, 2116, 2117, 2112, 2113, 2274, 2275, 2279, 2278, 2277, 2276, 2293, 2292, 2297, 2296, 2294, 2295] +private def clayworthS_inv_c12 : Array (Fin 12096) := #[2288, 2289, 2290, 2291, 2286, 2287, 2170, 2171, 2167, 2166, 2169, 2168, 2228, 2229, 2230, 2231, 2226, 2227, 2244, 2245, 2246, 2247, 2248, 2249, 2177, 2176, 2173, 2172, 2175, 2174, 2120, 2121, 2119, 2118, 2123, 2122, 2232, 2233, 2236, 2237, 2234, 2235, 2217, 2216, 2219, 2218, 2215, 2214, 2262, 2263, 2267, 2266, 2264, 2265, 2136, 2137, 2138, 2139, 2141, 2140, 2273, 2272, 2271, 2270, 2269, 2268, 2151, 2150, 2153, 2152, 2149, 2148, 2251, 2250, 2254, 2255, 2253, 2252, 2147, 2146, 2143, 2142, 2145, 2144, 2193, 2192, 2191, 2190, 2195, 2194, 2127, 2126, 2125, 2124, 2129, 2128, 2205, 2204, 2203, 2202, 2206, 2207, 2241, 2240, 2239, 2238, 2243, 2242, 2156, 2157, 2158, 2159, 2154, 2155, 2199, 2198, 2197, 2196, 2200, 2201, 2280, 2281, 2285, 2284, 2282, 2283, 2303, 2302, 2300, 2301, 2298, 2299, 2164, 2165, 2161, 2160, 2163, 2162, 2185, 2184, 2186, 2187, 2189, 2188, 6374, 6375, 6373, 6372, 6376, 6377, 6432, 6433, 6434, 6435, 6436, 6437, 6341, 6340, 6337, 6336, 6338, 6339, 6465, 6464, 6467, 6466, 6462, 6463, 6393, 6392, 6395, 6394, 6390, 6391, 6346, 6347, 6343, 6342, 6345, 6344, 6443, 6442, 6440, 6441, 6438, 6439, 6498, 6499, 6502, 6503, 6501, 6500, 6415, 6414, 6416, 6417, 6418, 6419, 6514, 6515, 6511, 6510, 6512, 6513, 6453, 6452, 6455, 6454, 6451, 6450, 6352, 6353, 6350, 6351, 6349, 6348, 6477, 6476, 6474, 6475, 6479, 6478, 6447, 6446, 6448, 6449, 6445, 6444, 6387, 6386, 6388, 6389, 6384, 6385, 6516, 6517, 6519, 6518, 6521, 6520, 6484, 6485, 6480, 6481, 6482, 6483, 6367, 6366, 6370, 6371, 6368, 6369, 6497, 6496, 6495, 6494, 6493, 6492, 6429, 6428, 6430, 6431, 6427, 6426, 6458, 6459, 6460, 6461, 6456, 6457, 6509, 6508, 6505, 6504, 6507, 6506, 6403, 6402, 6406, 6407, 6404, 6405, 6468, 6469, 6473, 6472, 6470, 6471, 6361, 6360, 6364, 6365, 6363, 6362, 6424, 6425, 6423, 6422, 6420, 6421, 6356, 6357, 6359, 6358, 6354, 6355, 6487, 6486, 6491, 6490, 6488, 6489, 6412, 6413, 6410, 6411, 6408, 6409, 6526, 6527, 6524, 6525, 6522, 6523, 6383, 6382, 6379, 6378, 6380, 6381, 6398, 6399, 6400, 6401, 6396, 6397, 3505, 3504, 3507, 3506, 3509, 3508, 3459, 3458, 3460, 3461, 3456, 3457, 3607, 3606, 3610, 3611, 3609, 3608, 3476, 3477, 3478, 3479, 3475, 3474, 3599, 3598, 3596, 3597, 3594, 3595, 3590, 3591, 3589, 3588, 3593, 3592, 3464, 3465, 3467, 3466, 3463, 3462, 3566, 3567, 3569, 3568, 3565, 3564, 3556, 3557, 3553, 3552, 3555, 3554, 3626, 3627, 3629, 3628, 3625, 3624, 3642, 3643, 3646, 3647, 3645, 3644, 3546, 3547, 3549, 3548, 3551, 3550, 3641, 3640, 3636, 3637, 3638, 3639, 3519, 3518, 3521, 3520, 3517, 3516, 3470, 3471, 3473, 3472, 3468, 3469, 3573, 3572, 3575, 3574, 3570, 3571, 3487, 3486, 3489, 3488, 3491, 3490, 3559, 3558, 3560, 3561, 3562, 3563, 3584, 3585, 3586, 3587, 3582, 3583, 3613, 3612, 3614, 3615, 3617, 3616, 3482, 3483, 3484, 3485, 3481, 3480, 3577, 3576, 3578, 3579, 3580, 3581, 3541, 3540, 3542, 3543, 3545, 3544, 3528, 3529, 3531, 3530, 3532, 3533, 3538, 3539, 3534, 3535, 3536, 3537, 3603, 3602, 3600, 3601, 3605, 3604, 3500, 3501, 3502, 3503, 3498, 3499, 3494, 3495] +private def clayworthS_inv_c13 : Array (Fin 12096) := #[3492, 3493, 3496, 3497, 3618, 3619, 3622, 3623, 3621, 3620, 3631, 3630, 3632, 3633, 3634, 3635, 3515, 3514, 3511, 3510, 3513, 3512, 3525, 3524, 3526, 3527, 3522, 3523, 1039, 1038, 1040, 1041, 1042, 1043, 965, 964, 962, 963, 960, 961, 1114, 1115, 1113, 1112, 1111, 1110, 1123, 1122, 1126, 1127, 1125, 1124, 981, 980, 978, 979, 983, 982, 1091, 1090, 1089, 1088, 1086, 1087, 1077, 1076, 1075, 1074, 1079, 1078, 1007, 1006, 1002, 1003, 1005, 1004, 1065, 1064, 1067, 1066, 1063, 1062, 966, 967, 970, 971, 968, 969, 1047, 1046, 1045, 1044, 1049, 1048, 1018, 1019, 1016, 1017, 1014, 1015, 1138, 1139, 1135, 1134, 1137, 1136, 1143, 1142, 1145, 1144, 1141, 1140, 1025, 1024, 1021, 1020, 1023, 1022, 1050, 1051, 1052, 1053, 1055, 1054, 976, 977, 972, 973, 974, 975, 1081, 1080, 1083, 1082, 1085, 1084, 991, 990, 993, 992, 994, 995, 1148, 1149, 1146, 1147, 1150, 1151, 1092, 1093, 1094, 1095, 1096, 1097, 1070, 1071, 1072, 1073, 1068, 1069, 1116, 1117, 1121, 1120, 1118, 1119, 1130, 1131, 1129, 1128, 1133, 1132, 1034, 1035, 1033, 1032, 1036, 1037, 1059, 1058, 1060, 1061, 1057, 1056, 1000, 1001, 999, 998, 996, 997, 1105, 1104, 1108, 1109, 1106, 1107, 989, 988, 987, 986, 985, 984, 1026, 1027, 1028, 1029, 1030, 1031, 1100, 1101, 1099, 1098, 1103, 1102, 1009, 1008, 1013, 1012, 1010, 1011, 11815, 11814, 11817, 11816, 11818, 11819, 11715, 11714, 11717, 11716, 11713, 11712, 11737, 11736, 11739, 11738, 11740, 11741, 11861, 11860, 11859, 11858, 11856, 11857, 11841, 11840, 11838, 11839, 11843, 11842, 11777, 11776, 11773, 11772, 11775, 11774, 11800, 11801, 11796, 11797, 11798, 11799, 11723, 11722, 11718, 11719, 11720, 11721, 11834, 11835, 11832, 11833, 11837, 11836, 11825, 11824, 11823, 11822, 11820, 11821, 11902, 11903, 11898, 11899, 11900, 11901, 11787, 11786, 11784, 11785, 11789, 11788, 11805, 11804, 11807, 11806, 11803, 11802, 11770, 11771, 11769, 11768, 11767, 11766, 11727, 11726, 11725, 11724, 11729, 11728, 11851, 11850, 11852, 11853, 11855, 11854, 11876, 11877, 11878, 11879, 11874, 11875, 11871, 11870, 11868, 11869, 11873, 11872, 11827, 11826, 11829, 11828, 11830, 11831, 11730, 11731, 11734, 11735, 11732, 11733, 11863, 11862, 11866, 11867, 11864, 11865, 11890, 11891, 11887, 11886, 11888, 11889, 11746, 11747, 11743, 11742, 11745, 11744, 11811, 11810, 11808, 11809, 11812, 11813, 11849, 11848, 11846, 11847, 11845, 11844, 11880, 11881, 11885, 11884, 11882, 11883, 11753, 11752, 11751, 11750, 11748, 11749, 11896, 11897, 11893, 11892, 11895, 11894, 11778, 11779, 11780, 11781, 11782, 11783, 11794, 11795, 11792, 11793, 11790, 11791, 11754, 11755, 11756, 11757, 11759, 11758, 11762, 11763, 11760, 11761, 11765, 11764, 8731, 8730, 8733, 8732, 8734, 8735, 8644, 8645, 8642, 8643, 8641, 8640, 8805, 8804, 8802, 8803, 8806, 8807, 8811, 8810, 8809, 8808, 8813, 8812, 8648, 8649, 8647, 8646, 8651, 8650, 8737, 8736, 8738, 8739, 8740, 8741, 8753, 8752, 8751, 8750, 8748, 8749, 8767, 8766, 8768, 8769, 8771, 8770, 8745, 8744, 8742, 8743, 8747, 8746, 8816, 8817, 8818, 8819, 8814, 8815, 8720, 8721, 8723, 8722, 8718, 8719, 8822, 8823, 8825, 8824, 8820, 8821, 8762, 8763, 8764, 8765, 8761, 8760, 8772, 8773, 8774, 8775, 8777, 8776, 8796, 8797, 8798, 8799] +private def clayworthS_inv_c14 : Array (Fin 12096) := #[8800, 8801, 8795, 8794, 8790, 8791, 8792, 8793, 8756, 8757, 8758, 8759, 8754, 8755, 8670, 8671, 8672, 8673, 8674, 8675, 8652, 8653, 8654, 8655, 8656, 8657, 8829, 8828, 8830, 8831, 8826, 8827, 8663, 8662, 8660, 8661, 8658, 8659, 8726, 8727, 8724, 8725, 8729, 8728, 8668, 8669, 8667, 8666, 8664, 8665, 8700, 8701, 8702, 8703, 8704, 8705, 8787, 8786, 8789, 8788, 8784, 8785, 8714, 8715, 8712, 8713, 8717, 8716, 8781, 8780, 8782, 8783, 8779, 8778, 8686, 8687, 8685, 8684, 8683, 8682, 8678, 8679, 8676, 8677, 8680, 8681, 8709, 8708, 8711, 8710, 8707, 8706, 8691, 8690, 8688, 8689, 8692, 8693, 8697, 8696, 8698, 8699, 8695, 8694, 7933, 7932, 7935, 7934, 7937, 7936, 8022, 8023, 8026, 8027, 8025, 8024, 8045, 8044, 8043, 8042, 8041, 8040, 7885, 7884, 7888, 7889, 7886, 7887, 7969, 7968, 7972, 7973, 7971, 7970, 8003, 8002, 7999, 7998, 8001, 8000, 7982, 7983, 7980, 7981, 7985, 7984, 7948, 7949, 7947, 7946, 7945, 7944, 7995, 7994, 7996, 7997, 7992, 7993, 7877, 7876, 7873, 7872, 7874, 7875, 7975, 7974, 7976, 7977, 7979, 7978, 7966, 7967, 7962, 7963, 7964, 7965, 7955, 7954, 7953, 7952, 7950, 7951, 7956, 7957, 7960, 7961, 7958, 7959, 7879, 7878, 7883, 7882, 7880, 7881, 8006, 8007, 8004, 8005, 8009, 8008, 8021, 8020, 8017, 8016, 8019, 8018, 7915, 7914, 7919, 7918, 7917, 7916, 7940, 7941, 7942, 7943, 7938, 7939, 7890, 7891, 7894, 7895, 7892, 7893, 8029, 8028, 8033, 8032, 8030, 8031, 8049, 8048, 8046, 8047, 8050, 8051, 7991, 7990, 7987, 7986, 7988, 7989, 7912, 7913, 7908, 7909, 7910, 7911, 8052, 8053, 8057, 8056, 8054, 8055, 7904, 7905, 7906, 7907, 7903, 7902, 8012, 8013, 8011, 8010, 8015, 8014, 7897, 7896, 7901, 7900, 7899, 7898, 7926, 7927, 7929, 7928, 7930, 7931, 7922, 7923, 7924, 7925, 7921, 7920, 8034, 8035, 8037, 8036, 8039, 8038, 8062, 8063, 8061, 8060, 8058, 8059, 9985, 9984, 9987, 9986, 9988, 9989, 10015, 10014, 10017, 10016, 10018, 10019, 9991, 9990, 9992, 9993, 9995, 9994, 10144, 10145, 10143, 10142, 10141, 10140, 10137, 10136, 10135, 10134, 10139, 10138, 10061, 10060, 10059, 10058, 10056, 10057, 10091, 10090, 10089, 10088, 10086, 10087, 10124, 10125, 10126, 10127, 10123, 10122, 10077, 10076, 10079, 10078, 10075, 10074, 10098, 10099, 10103, 10102, 10100, 10101, 10169, 10168, 10164, 10165, 10166, 10167, 10047, 10046, 10044, 10045, 10048, 10049, 10113, 10112, 10110, 10111, 10114, 10115, 10154, 10155, 10157, 10156, 10152, 10153, 10032, 10033, 10034, 10035, 10037, 10036, 10104, 10105, 10106, 10107, 10108, 10109, 10053, 10052, 10050, 10051, 10055, 10054, 9999, 9998, 9996, 9997, 10000, 10001, 10175, 10174, 10170, 10171, 10172, 10173, 10133, 10132, 10131, 10130, 10128, 10129, 10021, 10020, 10024, 10025, 10023, 10022, 10162, 10163, 10160, 10161, 10158, 10159, 10121, 10120, 10116, 10117, 10118, 10119, 10031, 10030, 10026, 10027, 10029, 10028, 10092, 10093, 10095, 10094, 10097, 10096, 10063, 10062, 10064, 10065, 10067, 10066, 10146, 10147, 10151, 10150, 10148, 10149, 10009, 10008, 10011, 10010, 10013, 10012, 10084, 10085, 10080, 10081, 10082, 10083, 10005, 10004, 10006, 10007, 10002, 10003, 10038, 10039, 10041, 10040, 10043, 10042, 10073, 10072, 10070, 10071, 10069, 10068, 1824, 1825, 1826, 1827, 1828, 1829, 1886, 1887, 1885, 1884, 1888, 1889] +private def clayworthS_inv_c15 : Array (Fin 12096) := #[1747, 1746, 1749, 1748, 1751, 1750, 1735, 1734, 1736, 1737, 1739, 1738, 1870, 1871, 1869, 1868, 1866, 1867, 1846, 1847, 1843, 1842, 1844, 1845, 1792, 1793, 1789, 1788, 1791, 1790, 1861, 1860, 1862, 1863, 1865, 1864, 1732, 1733, 1728, 1729, 1730, 1731, 1835, 1834, 1833, 1832, 1831, 1830, 1812, 1813, 1816, 1817, 1814, 1815, 1907, 1906, 1903, 1902, 1904, 1905, 1857, 1856, 1859, 1858, 1854, 1855, 1850, 1851, 1853, 1852, 1848, 1849, 1755, 1754, 1752, 1753, 1756, 1757, 1836, 1837, 1838, 1839, 1841, 1840, 1787, 1786, 1782, 1783, 1784, 1785, 1909, 1908, 1913, 1912, 1910, 1911, 1872, 1873, 1874, 1875, 1877, 1876, 1891, 1890, 1893, 1892, 1894, 1895, 1820, 1821, 1822, 1823, 1818, 1819, 1769, 1768, 1766, 1767, 1764, 1765, 1878, 1879, 1882, 1883, 1881, 1880, 1897, 1896, 1900, 1901, 1899, 1898, 1810, 1811, 1806, 1807, 1808, 1809, 1745, 1744, 1743, 1742, 1741, 1740, 1805, 1804, 1801, 1800, 1803, 1802, 1795, 1794, 1799, 1798, 1796, 1797, 1774, 1775, 1772, 1773, 1770, 1771, 1760, 1761, 1762, 1763, 1758, 1759, 1917, 1916, 1919, 1918, 1914, 1915, 1781, 1780, 1776, 1777, 1779, 1778, 10602, 10603, 10606, 10607, 10604, 10605, 10657, 10656, 10658, 10659, 10661, 10660, 10580, 10581, 10578, 10579, 10583, 10582, 10570, 10571, 10567, 10566, 10569, 10568, 10702, 10703, 10699, 10698, 10701, 10700, 10670, 10671, 10668, 10669, 10672, 10673, 10561, 10560, 10563, 10562, 10564, 10565, 10612, 10613, 10608, 10609, 10610, 10611, 10649, 10648, 10646, 10647, 10644, 10645, 10688, 10689, 10690, 10691, 10687, 10686, 10624, 10625, 10620, 10621, 10622, 10623, 10733, 10732, 10729, 10728, 10730, 10731, 10633, 10632, 10636, 10637, 10634, 10635, 10744, 10745, 10740, 10741, 10742, 10743, 10712, 10713, 10710, 10711, 10714, 10715, 10676, 10677, 10678, 10679, 10674, 10675, 10591, 10590, 10595, 10594, 10593, 10592, 10663, 10662, 10665, 10664, 10667, 10666, 10575, 10574, 10572, 10573, 10577, 10576, 10696, 10697, 10695, 10694, 10692, 10693, 10726, 10727, 10722, 10723, 10724, 10725, 10653, 10652, 10654, 10655, 10650, 10651, 10685, 10684, 10682, 10683, 10680, 10681, 10718, 10719, 10721, 10720, 10717, 10716, 10588, 10589, 10587, 10586, 10584, 10585, 10734, 10735, 10738, 10739, 10736, 10737, 10629, 10628, 10626, 10627, 10631, 10630, 10639, 10638, 10640, 10641, 10642, 10643, 10705, 10704, 10707, 10706, 10709, 10708, 10598, 10599, 10601, 10600, 10597, 10596, 10750, 10751, 10748, 10749, 10746, 10747, 10617, 10616, 10618, 10619, 10614, 10615, 5762, 5763, 5764, 5765, 5760, 5761, 5913, 5912, 5911, 5910, 5914, 5915, 5922, 5923, 5926, 5927, 5924, 5925, 5799, 5798, 5797, 5796, 5801, 5800, 5781, 5780, 5779, 5778, 5783, 5782, 5884, 5885, 5880, 5881, 5882, 5883, 5864, 5865, 5866, 5867, 5862, 5863, 5766, 5767, 5770, 5771, 5769, 5768, 5829, 5828, 5831, 5830, 5827, 5826, 5876, 5877, 5879, 5878, 5874, 5875, 5775, 5774, 5777, 5776, 5773, 5772, 5854, 5855, 5853, 5852, 5851, 5850, 5938, 5939, 5934, 5935, 5936, 5937, 5820, 5821, 5825, 5824, 5822, 5823, 5905, 5904, 5909, 5908, 5907, 5906, 5857, 5856, 5859, 5858, 5860, 5861, 5787, 5786, 5788, 5789, 5784, 5785, 5947, 5946, 5950, 5951, 5948, 5949, 5888, 5889, 5890, 5891, 5887, 5886, 5802, 5803, 5806, 5807, 5804, 5805, 5932, 5933, 5929, 5928, 5930, 5931, 5873, 5872] +private def clayworthS_inv_c16 : Array (Fin 12096) := #[5871, 5870, 5868, 5869, 5810, 5811, 5812, 5813, 5808, 5809, 5944, 5945, 5940, 5941, 5942, 5943, 5900, 5901, 5902, 5903, 5898, 5899, 5849, 5848, 5845, 5844, 5846, 5847, 5840, 5841, 5842, 5843, 5838, 5839, 5894, 5895, 5896, 5897, 5892, 5893, 5791, 5790, 5794, 5795, 5792, 5793, 5817, 5816, 5814, 5815, 5819, 5818, 5917, 5916, 5921, 5920, 5919, 5918, 5833, 5832, 5837, 5836, 5835, 5834, 7537, 7536, 7538, 7539, 7541, 7540, 7573, 7572, 7575, 7574, 7577, 7576, 7645, 7644, 7648, 7649, 7647, 7646, 7520, 7521, 7519, 7518, 7523, 7522, 7624, 7625, 7622, 7623, 7620, 7621, 7598, 7599, 7601, 7600, 7597, 7596, 7489, 7488, 7491, 7490, 7492, 7493, 7590, 7591, 7592, 7593, 7594, 7595, 7583, 7582, 7579, 7578, 7581, 7580, 7662, 7663, 7665, 7664, 7666, 7667, 7670, 7671, 7673, 7672, 7668, 7669, 7604, 7605, 7607, 7606, 7603, 7602, 7498, 7499, 7495, 7494, 7496, 7497, 7615, 7614, 7616, 7617, 7618, 7619, 7584, 7585, 7586, 7587, 7588, 7589, 7546, 7547, 7545, 7544, 7542, 7543, 7500, 7501, 7505, 7504, 7503, 7502, 7675, 7674, 7678, 7679, 7677, 7676, 7611, 7610, 7613, 7612, 7608, 7609, 7650, 7651, 7655, 7654, 7652, 7653, 7660, 7661, 7658, 7659, 7657, 7656, 7568, 7569, 7567, 7566, 7571, 7570, 7638, 7639, 7640, 7641, 7643, 7642, 7549, 7548, 7550, 7551, 7552, 7553, 7636, 7637, 7634, 7635, 7633, 7632, 7513, 7512, 7516, 7517, 7514, 7515, 7560, 7561, 7562, 7563, 7565, 7564, 7630, 7631, 7627, 7626, 7629, 7628, 7506, 7507, 7508, 7509, 7511, 7510, 7533, 7532, 7530, 7531, 7535, 7534, 7526, 7527, 7524, 7525, 7529, 7528, 7559, 7558, 7556, 7557, 7555, 7554, 2651, 2650, 2649, 2648, 2647, 2646, 2536, 2537, 2532, 2533, 2535, 2534, 2621, 2620, 2618, 2619, 2616, 2617, 2496, 2497, 2499, 2498, 2500, 2501, 2610, 2611, 2614, 2615, 2612, 2613, 2502, 2503, 2506, 2507, 2505, 2504, 2598, 2599, 2601, 2600, 2602, 2603, 2578, 2579, 2576, 2577, 2574, 2575, 2658, 2659, 2660, 2661, 2662, 2663, 2584, 2585, 2581, 2580, 2582, 2583, 2678, 2679, 2680, 2681, 2677, 2676, 2569, 2568, 2570, 2571, 2573, 2572, 2605, 2604, 2606, 2607, 2609, 2608, 2510, 2511, 2512, 2513, 2508, 2509, 2634, 2635, 2638, 2639, 2637, 2636, 2553, 2552, 2551, 2550, 2555, 2554, 2518, 2519, 2516, 2517, 2515, 2514, 2543, 2542, 2538, 2539, 2540, 2541, 2594, 2595, 2596, 2597, 2592, 2593, 2642, 2643, 2640, 2641, 2644, 2645, 2547, 2546, 2549, 2548, 2544, 2545, 2664, 2665, 2667, 2666, 2669, 2668, 2589, 2588, 2591, 2590, 2587, 2586, 2630, 2631, 2628, 2629, 2632, 2633, 2529, 2528, 2526, 2527, 2530, 2531, 2625, 2624, 2626, 2627, 2622, 2623, 2520, 2521, 2524, 2525, 2523, 2522, 2561, 2560, 2557, 2556, 2558, 2559, 2653, 2652, 2656, 2657, 2655, 2654, 2670, 2671, 2674, 2675, 2672, 2673, 2684, 2685, 2687, 2686, 2682, 2683, 2566, 2567, 2562, 2563, 2564, 2565, 9678, 9679, 9680, 9681, 9682, 9683, 9748, 9749, 9747, 9746, 9745, 9744, 9751, 9750, 9752, 9753, 9754, 9755, 9629, 9628, 9625, 9624, 9626, 9627, 9606, 9607, 9608, 9609, 9610, 9611, 9724, 9725, 9723, 9722, 9721, 9720, 9711, 9710, 9712, 9713, 9709, 9708, 9676, 9677, 9675, 9674, 9673, 9672, 9659, 9658, 9655, 9654] +private def clayworthS_inv_c17 : Array (Fin 12096) := #[9657, 9656, 9686, 9687, 9688, 9689, 9685, 9684, 9779, 9778, 9775, 9774, 9777, 9776, 9696, 9697, 9699, 9698, 9700, 9701, 9605, 9604, 9601, 9600, 9602, 9603, 9716, 9717, 9718, 9719, 9714, 9715, 9738, 9739, 9743, 9742, 9741, 9740, 9733, 9732, 9737, 9736, 9734, 9735, 9693, 9692, 9694, 9695, 9690, 9691, 9639, 9638, 9637, 9636, 9640, 9641, 9612, 9613, 9616, 9617, 9615, 9614, 9782, 9783, 9780, 9781, 9785, 9784, 9631, 9630, 9632, 9633, 9634, 9635, 9761, 9760, 9757, 9756, 9758, 9759, 9706, 9707, 9705, 9704, 9702, 9703, 9646, 9647, 9644, 9645, 9642, 9643, 9763, 9762, 9766, 9767, 9765, 9764, 9663, 9662, 9661, 9660, 9664, 9665, 9622, 9623, 9621, 9620, 9619, 9618, 9667, 9666, 9670, 9671, 9668, 9669, 9727, 9726, 9728, 9729, 9731, 9730, 9773, 9772, 9770, 9771, 9769, 9768, 9790, 9791, 9789, 9788, 9786, 9787, 9650, 9651, 9649, 9648, 9652, 9653, 1968, 1969, 1971, 1970, 1973, 1972, 2075, 2074, 2070, 2071, 2072, 2073, 1946, 1947, 1945, 1944, 1949, 1948, 2043, 2042, 2040, 2041, 2044, 2045, 2020, 2021, 2018, 2019, 2017, 2016, 1920, 1921, 1922, 1923, 1925, 1924, 1985, 1984, 1983, 1982, 1980, 1981, 2029, 2028, 2031, 2030, 2032, 2033, 2010, 2011, 2014, 2015, 2013, 2012, 2102, 2103, 2104, 2105, 2100, 2101, 2007, 2006, 2008, 2009, 2004, 2005, 2097, 2096, 2099, 2098, 2094, 2095, 1930, 1931, 1926, 1927, 1928, 1929, 2061, 2060, 2058, 2059, 2063, 2062, 2024, 2025, 2026, 2027, 2022, 2023, 1951, 1950, 1955, 1954, 1953, 1952, 1935, 1934, 1933, 1932, 1937, 1936, 2106, 2107, 2109, 2108, 2111, 2110, 2046, 2047, 2048, 2049, 2051, 2050, 2036, 2037, 2038, 2039, 2034, 2035, 2068, 2069, 2065, 2064, 2067, 2066, 2078, 2079, 2076, 2077, 2081, 2080, 1967, 1966, 1964, 1965, 1963, 1962, 2082, 2083, 2084, 2085, 2087, 2086, 1999, 1998, 2000, 2001, 2003, 2002, 1986, 1987, 1988, 1989, 1991, 1990, 2054, 2055, 2052, 2053, 2056, 2057, 1996, 1997, 1992, 1993, 1994, 1995, 1939, 1938, 1942, 1943, 1941, 1940, 1957, 1956, 1958, 1959, 1960, 1961, 2089, 2088, 2093, 2092, 2090, 2091, 1976, 1977, 1975, 1974, 1979, 1978, 11111, 11110, 11109, 11108, 11107, 11106, 10963, 10962, 10965, 10964, 10967, 10966, 10945, 10944, 10947, 10946, 10948, 10949, 11009, 11008, 11004, 11005, 11007, 11006, 11039, 11038, 11036, 11037, 11035, 11034, 10953, 10952, 10955, 10954, 10950, 10951, 11015, 11014, 11011, 11010, 11012, 11013, 11056, 11057, 11054, 11055, 11052, 11053, 11024, 11025, 11027, 11026, 11022, 11023, 11040, 11041, 11044, 11045, 11042, 11043, 11124, 11125, 11126, 11127, 11129, 11128, 10960, 10961, 10956, 10957, 10958, 10959, 11076, 11077, 11078, 11079, 11080, 11081, 11066, 11067, 11069, 11068, 11065, 11064, 11059, 11058, 11061, 11060, 11063, 11062, 11131, 11130, 11135, 11134, 11132, 11133, 11075, 11074, 11072, 11073, 11070, 11071, 10975, 10974, 10978, 10979, 10977, 10976, 11116, 11117, 11112, 11113, 11114, 11115, 11048, 11049, 11046, 11047, 11050, 11051, 10996, 10997, 10995, 10994, 10993, 10992, 11096, 11097, 11099, 11098, 11095, 11094, 10982, 10983, 10985, 10984, 10980, 10981, 11016, 11017, 11018, 11019, 11020, 11021, 11091, 11090, 11088, 11089, 11093, 11092, 10970, 10971, 10973, 10972, 10969, 10968, 11033, 11032, 11030, 11031, 11029, 11028, 11084, 11085, 11083, 11082, 11086, 11087] +private def clayworthS_inv_c18 : Array (Fin 12096) := #[11002, 11003, 11000, 11001, 10999, 10998, 10986, 10987, 10988, 10989, 10991, 10990, 11102, 11103, 11104, 11105, 11101, 11100, 11119, 11118, 11123, 11122, 11120, 11121, 5424, 5425, 5426, 5427, 5428, 5429, 5484, 5485, 5487, 5486, 5489, 5488, 5521, 5520, 5525, 5524, 5523, 5522, 5542, 5543, 5539, 5538, 5541, 5540, 5403, 5402, 5401, 5400, 5404, 5405, 5384, 5385, 5387, 5386, 5383, 5382, 5514, 5515, 5519, 5518, 5517, 5516, 5498, 5499, 5496, 5497, 5500, 5501, 5440, 5441, 5437, 5436, 5439, 5438, 5476, 5477, 5475, 5474, 5472, 5473, 5377, 5376, 5380, 5381, 5379, 5378, 5490, 5491, 5492, 5493, 5494, 5495, 5447, 5446, 5445, 5444, 5443, 5442, 5549, 5548, 5544, 5545, 5546, 5547, 5566, 5567, 5563, 5562, 5564, 5565, 5454, 5455, 5458, 5459, 5457, 5456, 5479, 5478, 5482, 5483, 5480, 5481, 5560, 5561, 5556, 5557, 5558, 5559, 5508, 5509, 5510, 5511, 5513, 5512, 5505, 5504, 5507, 5506, 5503, 5502, 5432, 5433, 5431, 5430, 5435, 5434, 5392, 5393, 5390, 5391, 5388, 5389, 5526, 5527, 5529, 5528, 5531, 5530, 5408, 5409, 5410, 5411, 5406, 5407, 5423, 5422, 5421, 5420, 5419, 5418, 5416, 5417, 5415, 5414, 5413, 5412, 5471, 5470, 5467, 5466, 5468, 5469, 5461, 5460, 5465, 5464, 5463, 5462, 5394, 5395, 5398, 5399, 5396, 5397, 5533, 5532, 5537, 5536, 5535, 5534, 5448, 5449, 5453, 5452, 5450, 5451, 5553, 5552, 5555, 5554, 5551, 5550, 4231, 4230, 4233, 4232, 4234, 4235, 4330, 4331, 4328, 4329, 4327, 4326, 4307, 4306, 4304, 4305, 4303, 4302, 4226, 4227, 4228, 4229, 4224, 4225, 4321, 4320, 4325, 4324, 4323, 4322, 4295, 4294, 4291, 4290, 4292, 4293, 4408, 4409, 4406, 4407, 4404, 4405, 4311, 4310, 4312, 4313, 4309, 4308, 4276, 4277, 4273, 4272, 4275, 4274, 4341, 4340, 4338, 4339, 4342, 4343, 4371, 4370, 4369, 4368, 4372, 4373, 4335, 4334, 4337, 4336, 4333, 4332, 4257, 4256, 4255, 4254, 4259, 4258, 4315, 4314, 4318, 4319, 4316, 4317, 4282, 4283, 4279, 4278, 4280, 4281, 4412, 4413, 4414, 4415, 4410, 4411, 4350, 4351, 4354, 4355, 4352, 4353, 4385, 4384, 4380, 4381, 4383, 4382, 4390, 4391, 4387, 4386, 4389, 4388, 4347, 4346, 4348, 4349, 4344, 4345, 4374, 4375, 4377, 4376, 4379, 4378, 4250, 4251, 4252, 4253, 4249, 4248, 4392, 4393, 4396, 4397, 4394, 4395, 4366, 4367, 4365, 4364, 4363, 4362, 4243, 4242, 4244, 4245, 4247, 4246, 4359, 4358, 4356, 4357, 4361, 4360, 4236, 4237, 4239, 4238, 4240, 4241, 4263, 4262, 4261, 4260, 4264, 4265, 4300, 4301, 4298, 4299, 4296, 4297, 4399, 4398, 4400, 4401, 4403, 4402, 4268, 4269, 4267, 4266, 4270, 4271, 4286, 4287, 4288, 4289, 4285, 4284, 9085, 9084, 9089, 9088, 9087, 9086, 9026, 9027, 9028, 9029, 9025, 9024, 9184, 9185, 9183, 9182, 9180, 9181, 9195, 9194, 9193, 9192, 9197, 9196, 9042, 9043, 9045, 9044, 9046, 9047, 9150, 9151, 9154, 9155, 9152, 9153, 9030, 9031, 9033, 9032, 9035, 9034, 9106, 9107, 9103, 9102, 9104, 9105, 9117, 9116, 9118, 9119, 9114, 9115, 9213, 9212, 9215, 9214, 9211, 9210, 9098, 9099, 9101, 9100, 9096, 9097, 9158, 9159, 9160, 9161, 9156, 9157, 9038, 9039, 9040, 9041, 9037, 9036, 9169, 9168, 9170, 9171, 9172, 9173, 9144, 9145, 9148, 9149, 9147, 9146, 9049, 9048] +private def clayworthS_inv_c19 : Array (Fin 12096) := #[9050, 9051, 9053, 9052, 9177, 9176, 9178, 9179, 9175, 9174, 9186, 9187, 9191, 9190, 9188, 9189, 9140, 9141, 9138, 9139, 9142, 9143, 9164, 9165, 9167, 9166, 9162, 9163, 9078, 9079, 9082, 9083, 9080, 9081, 9068, 9069, 9070, 9071, 9066, 9067, 9203, 9202, 9198, 9199, 9201, 9200, 9121, 9120, 9123, 9122, 9124, 9125, 9061, 9060, 9063, 9062, 9064, 9065, 9135, 9134, 9137, 9136, 9132, 9133, 9057, 9056, 9059, 9058, 9055, 9054, 9072, 9073, 9074, 9075, 9076, 9077, 9126, 9127, 9130, 9131, 9128, 9129, 9205, 9204, 9208, 9209, 9207, 9206, 9092, 9093, 9094, 9095, 9090, 9091, 9109, 9108, 9112, 9113, 9111, 9110, 1502, 1503, 1500, 1501, 1504, 1505, 1519, 1518, 1522, 1523, 1520, 1521, 1357, 1356, 1358, 1359, 1361, 1360, 1486, 1487, 1485, 1484, 1483, 1482, 1445, 1444, 1443, 1442, 1440, 1441, 1475, 1474, 1470, 1471, 1472, 1473, 1346, 1347, 1344, 1345, 1349, 1348, 1426, 1427, 1425, 1424, 1422, 1423, 1447, 1446, 1449, 1448, 1451, 1450, 1412, 1413, 1414, 1415, 1410, 1411, 1431, 1430, 1429, 1428, 1433, 1432, 1455, 1454, 1453, 1452, 1457, 1456, 1479, 1478, 1477, 1476, 1481, 1480, 1371, 1370, 1369, 1368, 1373, 1372, 1435, 1434, 1436, 1437, 1439, 1438, 1468, 1469, 1467, 1466, 1464, 1465, 1507, 1506, 1511, 1510, 1509, 1508, 1367, 1366, 1363, 1362, 1365, 1364, 1461, 1460, 1462, 1463, 1458, 1459, 1376, 1377, 1378, 1379, 1375, 1374, 1496, 1497, 1495, 1494, 1499, 1498, 1524, 1525, 1529, 1528, 1527, 1526, 1398, 1399, 1403, 1402, 1401, 1400, 1489, 1488, 1492, 1493, 1491, 1490, 1421, 1420, 1417, 1416, 1419, 1418, 1350, 1351, 1352, 1353, 1354, 1355, 1380, 1381, 1382, 1383, 1384, 1385, 1515, 1514, 1517, 1516, 1513, 1512, 1405, 1404, 1408, 1409, 1407, 1406, 1534, 1535, 1533, 1532, 1530, 1531, 1389, 1388, 1387, 1386, 1390, 1391, 1392, 1393, 1397, 1396, 1395, 1394, 5040, 5041, 5043, 5042, 5044, 5045, 5152, 5153, 5148, 5149, 5150, 5151, 5018, 5019, 5016, 5017, 5020, 5021, 5129, 5128, 5126, 5127, 5125, 5124, 5098, 5099, 5097, 5096, 5094, 5095, 5115, 5114, 5113, 5112, 5116, 5117, 4994, 4995, 4992, 4993, 4997, 4996, 5049, 5048, 5050, 5051, 5047, 5046, 5067, 5066, 5068, 5069, 5064, 5065, 5001, 5000, 5002, 5003, 4999, 4998, 5100, 5101, 5103, 5102, 5105, 5104, 5086, 5087, 5085, 5084, 5082, 5083, 5155, 5154, 5159, 5158, 5156, 5157, 5177, 5176, 5172, 5173, 5175, 5174, 5166, 5167, 5168, 5169, 5170, 5171, 5119, 5118, 5120, 5121, 5123, 5122, 5142, 5143, 5145, 5144, 5147, 5146, 5108, 5109, 5111, 5110, 5107, 5106, 5034, 5035, 5037, 5036, 5039, 5038, 5088, 5089, 5090, 5091, 5093, 5092, 5178, 5179, 5180, 5181, 5182, 5183, 5130, 5131, 5133, 5132, 5134, 5135, 5027, 5026, 5023, 5022, 5025, 5024, 5079, 5078, 5077, 5076, 5080, 5081, 5032, 5033, 5030, 5031, 5028, 5029, 5161, 5160, 5165, 5164, 5162, 5163, 5071, 5070, 5073, 5072, 5074, 5075, 5015, 5014, 5011, 5010, 5013, 5012, 5138, 5139, 5136, 5137, 5140, 5141, 5005, 5004, 5009, 5008, 5007, 5006, 5061, 5060, 5062, 5063, 5058, 5059, 5055, 5054, 5057, 5056, 5053, 5052, 4830, 4831, 4834, 4835, 4833, 4832, 4963, 4962, 4965, 4964, 4966, 4967, 4814, 4815, 4813, 4812] +private def clayworthS_inv_c20 : Array (Fin 12096) := #[4816, 4817, 4809, 4808, 4810, 4811, 4806, 4807, 4927, 4926, 4931, 4930, 4928, 4929, 4890, 4891, 4895, 4894, 4892, 4893, 4917, 4916, 4914, 4915, 4919, 4918, 4899, 4898, 4901, 4900, 4897, 4896, 4800, 4801, 4803, 4802, 4804, 4805, 4855, 4854, 4856, 4857, 4858, 4859, 4865, 4864, 4862, 4863, 4861, 4860, 4889, 4888, 4884, 4885, 4886, 4887, 4979, 4978, 4974, 4975, 4977, 4976, 4872, 4873, 4876, 4877, 4874, 4875, 4990, 4991, 4987, 4986, 4989, 4988, 4842, 4843, 4847, 4846, 4845, 4844, 4906, 4907, 4902, 4903, 4905, 4904, 4921, 4920, 4923, 4922, 4924, 4925, 4944, 4945, 4949, 4948, 4947, 4946, 4938, 4939, 4942, 4943, 4940, 4941, 4852, 4853, 4848, 4849, 4850, 4851, 4960, 4961, 4956, 4957, 4958, 4959, 4819, 4818, 4823, 4822, 4820, 4821, 4973, 4972, 4968, 4969, 4970, 4971, 4880, 4881, 4878, 4879, 4882, 4883, 4911, 4910, 4912, 4913, 4908, 4909, 4952, 4953, 4954, 4955, 4951, 4950, 4867, 4866, 4869, 4868, 4871, 4870, 4937, 4936, 4932, 4933, 4935, 4934, 4827, 4826, 4829, 4828, 4825, 4824, 4984, 4985, 4982, 4983, 4981, 4980, 4839, 4838, 4841, 4840, 4837, 4836, 8862, 8863, 8864, 8865, 8867, 8866, 8988, 8989, 8992, 8993, 8990, 8991, 8836, 8837, 8833, 8832, 8835, 8834, 8962, 8963, 8960, 8961, 8959, 8958, 8908, 8909, 8907, 8906, 8905, 8904, 8943, 8942, 8944, 8945, 8941, 8940, 8922, 8923, 8925, 8924, 8927, 8926, 8884, 8885, 8880, 8881, 8882, 8883, 8921, 8920, 8916, 8917, 8919, 8918, 9008, 9009, 9010, 9011, 9006, 9007, 9019, 9018, 9020, 9021, 9023, 9022, 8869, 8868, 8873, 8872, 8870, 8871, 8952, 8953, 8954, 8955, 8956, 8957, 8976, 8977, 8979, 8978, 8980, 8981, 8970, 8971, 8974, 8975, 8973, 8972, 8931, 8930, 8933, 8932, 8928, 8929, 8845, 8844, 8847, 8846, 8849, 8848, 8878, 8879, 8877, 8876, 8875, 8874, 8965, 8964, 8969, 8968, 8966, 8967, 8951, 8950, 8949, 8948, 8946, 8947, 9005, 9004, 9001, 9000, 9003, 9002, 8912, 8913, 8910, 8911, 8914, 8915, 8938, 8939, 8935, 8934, 8937, 8936, 8860, 8861, 8859, 8858, 8856, 8857, 8983, 8982, 8984, 8985, 8987, 8986, 9012, 9013, 9017, 9016, 9014, 9015, 8886, 8887, 8889, 8888, 8891, 8890, 8900, 8901, 8898, 8899, 8902, 8903, 8839, 8838, 8843, 8842, 8840, 8841, 8852, 8853, 8850, 8851, 8854, 8855, 8994, 8995, 8996, 8997, 8998, 8999, 8895, 8894, 8893, 8892, 8896, 8897, 1194, 1195, 1196, 1197, 1198, 1199, 1331, 1330, 1326, 1327, 1329, 1328, 1178, 1179, 1177, 1176, 1181, 1180, 1165, 1164, 1169, 1168, 1167, 1166, 1288, 1289, 1285, 1284, 1286, 1287, 1245, 1244, 1242, 1243, 1246, 1247, 1253, 1252, 1250, 1251, 1248, 1249, 1274, 1275, 1277, 1276, 1272, 1273, 1157, 1156, 1153, 1152, 1155, 1154, 1335, 1334, 1336, 1337, 1333, 1332, 1200, 1201, 1203, 1202, 1204, 1205, 1263, 1262, 1265, 1264, 1260, 1261, 1160, 1161, 1158, 1159, 1163, 1162, 1312, 1313, 1309, 1308, 1310, 1311, 1303, 1302, 1305, 1304, 1307, 1306, 1256, 1257, 1258, 1259, 1255, 1254, 1236, 1237, 1239, 1238, 1240, 1241, 1281, 1280, 1283, 1282, 1279, 1278, 1318, 1319, 1314, 1315, 1317, 1316, 1232, 1233, 1235, 1234, 1230, 1231, 1270, 1271, 1267, 1266, 1268, 1269, 1193, 1192, 1190, 1191, 1188, 1189] +private def clayworthS_inv_c21 : Array (Fin 12096) := #[1187, 1186, 1185, 1184, 1182, 1183, 1224, 1225, 1226, 1227, 1228, 1229, 1206, 1207, 1210, 1211, 1209, 1208, 1301, 1300, 1299, 1298, 1297, 1296, 1170, 1171, 1172, 1173, 1174, 1175, 1223, 1222, 1219, 1218, 1221, 1220, 1293, 1292, 1294, 1295, 1291, 1290, 1320, 1321, 1322, 1323, 1325, 1324, 1213, 1212, 1216, 1217, 1214, 1215, 1341, 1340, 1343, 1342, 1338, 1339, 2779, 2778, 2781, 2780, 2783, 2782, 2849, 2848, 2847, 2846, 2845, 2844, 2708, 2709, 2707, 2706, 2711, 2710, 2789, 2788, 2785, 2784, 2786, 2787, 2793, 2792, 2790, 2791, 2794, 2795, 2689, 2688, 2692, 2693, 2691, 2690, 2814, 2815, 2818, 2819, 2817, 2816, 2699, 2698, 2697, 2696, 2695, 2694, 2856, 2857, 2858, 2859, 2860, 2861, 2875, 2874, 2878, 2879, 2877, 2876, 2758, 2759, 2757, 2756, 2754, 2755, 2768, 2769, 2767, 2766, 2771, 2770, 2735, 2734, 2730, 2731, 2732, 2733, 2804, 2805, 2806, 2807, 2802, 2803, 2826, 2827, 2828, 2829, 2831, 2830, 2798, 2799, 2800, 2801, 2796, 2797, 2720, 2721, 2718, 2719, 2722, 2723, 2740, 2741, 2736, 2737, 2738, 2739, 2835, 2834, 2837, 2836, 2832, 2833, 2823, 2822, 2824, 2825, 2820, 2821, 2712, 2713, 2716, 2717, 2714, 2715, 2855, 2854, 2850, 2851, 2853, 2852, 2775, 2774, 2772, 2773, 2777, 2776, 2812, 2813, 2811, 2810, 2809, 2808, 2863, 2862, 2866, 2867, 2864, 2865, 2748, 2749, 2751, 2750, 2753, 2752, 2700, 2701, 2704, 2705, 2702, 2703, 2761, 2760, 2763, 2762, 2765, 2764, 2726, 2727, 2724, 2725, 2728, 2729, 2841, 2840, 2843, 2842, 2838, 2839, 2868, 2869, 2872, 2873, 2870, 2871, 2745, 2744, 2747, 2746, 2742, 2743, 2353, 2352, 2355, 2354, 2356, 2357, 2382, 2383, 2384, 2385, 2386, 2387, 2307, 2306, 2308, 2309, 2304, 2305, 2461, 2460, 2465, 2464, 2462, 2463, 2324, 2325, 2326, 2327, 2323, 2322, 2398, 2399, 2394, 2395, 2397, 2396, 2311, 2310, 2312, 2313, 2315, 2314, 2380, 2381, 2379, 2378, 2377, 2376, 2424, 2425, 2428, 2429, 2426, 2427, 2403, 2402, 2405, 2404, 2401, 2400, 2392, 2393, 2388, 2389, 2390, 2391, 2372, 2373, 2374, 2375, 2370, 2371, 2484, 2485, 2486, 2487, 2488, 2489, 2363, 2362, 2361, 2360, 2358, 2359, 2414, 2415, 2413, 2412, 2417, 2416, 2319, 2318, 2320, 2321, 2316, 2317, 2456, 2457, 2458, 2459, 2454, 2455, 2409, 2408, 2411, 2410, 2406, 2407, 2366, 2367, 2368, 2369, 2364, 2365, 2490, 2491, 2495, 2494, 2492, 2493, 2438, 2439, 2440, 2441, 2436, 2437, 2434, 2435, 2432, 2433, 2431, 2430, 2466, 2467, 2469, 2468, 2471, 2470, 2332, 2333, 2330, 2331, 2328, 2329, 2423, 2422, 2418, 2419, 2420, 2421, 2344, 2345, 2343, 2342, 2341, 2340, 2337, 2336, 2338, 2339, 2334, 2335, 2476, 2477, 2472, 2473, 2475, 2474, 2450, 2451, 2448, 2449, 2452, 2453, 2446, 2447, 2442, 2443, 2444, 2445, 2350, 2351, 2348, 2349, 2346, 2347, 2479, 2478, 2482, 2483, 2481, 2480, 10272, 10273, 10274, 10275, 10277, 10276, 10181, 10180, 10177, 10176, 10179, 10178, 10338, 10339, 10342, 10343, 10340, 10341, 10344, 10345, 10349, 10348, 10346, 10347, 10324, 10325, 10321, 10320, 10323, 10322, 10310, 10311, 10309, 10308, 10313, 10312, 10287, 10286, 10285, 10284, 10289, 10288, 10234, 10235, 10230, 10231, 10233, 10232, 10253, 10252, 10251, 10250, 10248, 10249, 10296, 10297] +private def clayworthS_inv_c22 : Array (Fin 12096) := #[10301, 10300, 10299, 10298, 10350, 10351, 10355, 10354, 10353, 10352, 10247, 10246, 10245, 10244, 10242, 10243, 10260, 10261, 10265, 10264, 10262, 10263, 10218, 10219, 10220, 10221, 10223, 10222, 10185, 10184, 10186, 10187, 10183, 10182, 10315, 10314, 10317, 10316, 10319, 10318, 10332, 10333, 10337, 10336, 10335, 10334, 10293, 10292, 10294, 10295, 10291, 10290, 10278, 10279, 10281, 10280, 10283, 10282, 10227, 10226, 10228, 10229, 10224, 10225, 10307, 10306, 10304, 10305, 10303, 10302, 10269, 10268, 10267, 10266, 10271, 10270, 10205, 10204, 10203, 10202, 10200, 10201, 10359, 10358, 10356, 10357, 10360, 10361, 10257, 10256, 10255, 10254, 10259, 10258, 10195, 10194, 10199, 10198, 10197, 10196, 10328, 10329, 10326, 10327, 10330, 10331, 10189, 10188, 10192, 10193, 10190, 10191, 10207, 10206, 10208, 10209, 10211, 10210, 10236, 10237, 10241, 10240, 10239, 10238, 10365, 10364, 10363, 10362, 10367, 10366, 10213, 10212, 10217, 10216, 10214, 10215, 4489, 4488, 4491, 4490, 4493, 4492, 4418, 4419, 4420, 4421, 4417, 4416, 4560, 4561, 4564, 4565, 4563, 4562, 4511, 4510, 4507, 4506, 4509, 4508, 4425, 4424, 4422, 4423, 4426, 4427, 4451, 4450, 4446, 4447, 4448, 4449, 4474, 4475, 4472, 4473, 4470, 4471, 4524, 4525, 4528, 4529, 4526, 4527, 4457, 4456, 4453, 4452, 4455, 4454, 4496, 4497, 4498, 4499, 4494, 4495, 4578, 4579, 4582, 4583, 4580, 4581, 4601, 4600, 4599, 4598, 4597, 4596, 4485, 4484, 4482, 4483, 4487, 4486, 4590, 4591, 4593, 4592, 4594, 4595, 4514, 4515, 4512, 4513, 4516, 4517, 4532, 4533, 4534, 4535, 4530, 4531, 4554, 4555, 4556, 4557, 4558, 4559, 4440, 4441, 4443, 4442, 4445, 4444, 4500, 4501, 4504, 4505, 4502, 4503, 4537, 4536, 4539, 4538, 4541, 4540, 4567, 4566, 4570, 4571, 4569, 4568, 4522, 4523, 4519, 4518, 4521, 4520, 4479, 4478, 4476, 4477, 4480, 4481, 4458, 4459, 4462, 4463, 4460, 4461, 4552, 4553, 4550, 4551, 4548, 4549, 4434, 4435, 4439, 4438, 4437, 4436, 4467, 4466, 4464, 4465, 4468, 4469, 4545, 4544, 4546, 4547, 4543, 4542, 4430, 4431, 4433, 4432, 4428, 4429, 4577, 4576, 4572, 4573, 4575, 4574, 4586, 4587, 4585, 4584, 4588, 4589, 4607, 4606, 4605, 4604, 4603, 4602, 11238, 11239, 11241, 11240, 11243, 11242, 11292, 11293, 11296, 11297, 11295, 11294, 11307, 11306, 11308, 11309, 11304, 11305, 11265, 11264, 11263, 11262, 11266, 11267, 11254, 11255, 11251, 11250, 11252, 11253, 11137, 11136, 11139, 11138, 11141, 11140, 11200, 11201, 11198, 11199, 11196, 11197, 11230, 11231, 11228, 11229, 11227, 11226, 11146, 11147, 11145, 11144, 11143, 11142, 11249, 11248, 11244, 11245, 11246, 11247, 11326, 11327, 11325, 11324, 11323, 11322, 11316, 11317, 11319, 11318, 11321, 11320, 11187, 11186, 11188, 11189, 11184, 11185, 11256, 11257, 11259, 11258, 11261, 11260, 11150, 11151, 11153, 11152, 11148, 11149, 11282, 11283, 11280, 11281, 11284, 11285, 11275, 11274, 11278, 11279, 11277, 11276, 11162, 11163, 11161, 11160, 11164, 11165, 11195, 11194, 11190, 11191, 11192, 11193, 11172, 11173, 11176, 11177, 11174, 11175, 11289, 11288, 11291, 11290, 11286, 11287, 11156, 11157, 11159, 11158, 11155, 11154, 11310, 11311, 11313, 11312, 11315, 11314, 11235, 11234, 11233, 11232, 11237, 11236, 11209, 11208, 11210, 11211, 11213, 11212, 11270, 11271, 11269, 11268, 11273, 11272, 11220, 11221, 11225, 11224, 11222, 11223, 11180, 11181, 11182, 11183, 11178, 11179, 11167, 11166, 11169, 11168] +private def clayworthS_inv_c23 : Array (Fin 12096) := #[11170, 11171, 11303, 11302, 11299, 11298, 11301, 11300, 11214, 11215, 11219, 11218, 11216, 11217, 11203, 11202, 11204, 11205, 11207, 11206, 11971, 11970, 11975, 11974, 11972, 11973, 12012, 12013, 12014, 12015, 12016, 12017, 11907, 11906, 11908, 11909, 11904, 11905, 12077, 12076, 12075, 12074, 12073, 12072, 11947, 11946, 11948, 11949, 11951, 11950, 11928, 11929, 11932, 11933, 11931, 11930, 12032, 12033, 12031, 12030, 12035, 12034, 12039, 12038, 12037, 12036, 12040, 12041, 11910, 11911, 11913, 11912, 11915, 11914, 12045, 12044, 12043, 12042, 12047, 12046, 11921, 11920, 11919, 11918, 11917, 11916, 11993, 11992, 11989, 11988, 11990, 11991, 12021, 12020, 12022, 12023, 12018, 12019, 12090, 12091, 12095, 12094, 12092, 12093, 12000, 12001, 12004, 12005, 12002, 12003, 12007, 12006, 12009, 12008, 12011, 12010, 12089, 12088, 12084, 12085, 12086, 12087, 11923, 11922, 11927, 11926, 11925, 11924, 12062, 12063, 12060, 12061, 12065, 12064, 12057, 12056, 12054, 12055, 12059, 12058, 11960, 11961, 11959, 11958, 11962, 11963, 12024, 12025, 12026, 12027, 12028, 12029, 12050, 12051, 12053, 12052, 12048, 12049, 11953, 11952, 11955, 11954, 11956, 11957, 12082, 12083, 12080, 12081, 12078, 12079, 11967, 11966, 11968, 11969, 11964, 11965, 12068, 12069, 12066, 12067, 12071, 12070, 11944, 11945, 11943, 11942, 11940, 11941, 11936, 11937, 11939, 11938, 11935, 11934, 11997, 11996, 11995, 11994, 11999, 11998, 11981, 11980, 11976, 11977, 11978, 11979, 11983, 11982, 11984, 11985, 11986, 11987, 3122, 3123, 3120, 3121, 3124, 3125, 3074, 3075, 3077, 3076, 3072, 3073, 3239, 3238, 3236, 3237, 3234, 3235, 3091, 3090, 3093, 3092, 3095, 3094, 3174, 3175, 3178, 3179, 3177, 3176, 3201, 3200, 3203, 3202, 3198, 3199, 3190, 3191, 3188, 3189, 3186, 3187, 3139, 3138, 3141, 3140, 3143, 3142, 3182, 3183, 3181, 3180, 3185, 3184, 3146, 3147, 3149, 3148, 3145, 3144, 3246, 3247, 3250, 3251, 3248, 3249, 3165, 3164, 3167, 3166, 3163, 3162, 3129, 3128, 3130, 3131, 3126, 3127, 3080, 3081, 3083, 3082, 3079, 3078, 3206, 3207, 3205, 3204, 3208, 3209, 3226, 3227, 3222, 3223, 3224, 3225, 3195, 3194, 3196, 3197, 3192, 3193, 3110, 3111, 3109, 3108, 3113, 3112, 3171, 3170, 3169, 3168, 3172, 3173, 3135, 3134, 3137, 3136, 3133, 3132, 3252, 3253, 3255, 3254, 3256, 3257, 3210, 3211, 3215, 3214, 3212, 3213, 3100, 3101, 3097, 3096, 3099, 3098, 3118, 3119, 3116, 3117, 3114, 3115, 3229, 3228, 3232, 3233, 3230, 3231, 3105, 3104, 3107, 3106, 3102, 3103, 3150, 3151, 3155, 3154, 3152, 3153, 3220, 3221, 3216, 3217, 3218, 3219, 3087, 3086, 3085, 3084, 3088, 3089, 3159, 3158, 3161, 3160, 3157, 3156, 3241, 3240, 3244, 3245, 3243, 3242, 3262, 3263, 3260, 3261, 3259, 3258, 3889, 3888, 3893, 3892, 3891, 3890, 3936, 3937, 3938, 3939, 3940, 3941, 3844, 3845, 3842, 3843, 3840, 3841, 3992, 3993, 3990, 3991, 3995, 3994, 3996, 3997, 4000, 4001, 3999, 3998, 3858, 3859, 3860, 3861, 3863, 3862, 3971, 3970, 3968, 3969, 3967, 3966, 3948, 3949, 3953, 3952, 3950, 3951, 3965, 3964, 3961, 3960, 3963, 3962, 3848, 3849, 3846, 3847, 3850, 3851, 3927, 3926, 3929, 3928, 3925, 3924, 3856, 3857, 3854, 3855, 3853, 3852, 3958, 3959, 3956, 3957, 3955, 3954, 4024, 4025, 4022, 4023, 4020, 4021, 3913, 3912, 3914, 3915, 3917, 3916, 4018, 4019, 4015, 4014, 4016, 4017] +private def clayworthS_inv_c24 : Array (Fin 12096) := #[3899, 3898, 3894, 3895, 3896, 3897, 3987, 3986, 3985, 3984, 3989, 3988, 3876, 3877, 3879, 3878, 3881, 3880, 3942, 3943, 3944, 3945, 3946, 3947, 3905, 3904, 3900, 3901, 3902, 3903, 3865, 3864, 3866, 3867, 3869, 3868, 3975, 3974, 3977, 3976, 3972, 3973, 4003, 4002, 4004, 4005, 4006, 4007, 3933, 3932, 3935, 3934, 3931, 3930, 3909, 3908, 3906, 3907, 3910, 3911, 3981, 3980, 3978, 3979, 3983, 3982, 3873, 3872, 3874, 3875, 3871, 3870, 3923, 3922, 3919, 3918, 3921, 3920, 3885, 3884, 3886, 3887, 3883, 3882, 4009, 4008, 4011, 4010, 4012, 4013, 4030, 4031, 4028, 4029, 4027, 4026] + +private def clayworthS_inv : Array (Fin 12096) := + clayworthS_inv_c0 ++ clayworthS_inv_c1 ++ clayworthS_inv_c2 ++ clayworthS_inv_c3 ++ clayworthS_inv_c4 ++ clayworthS_inv_c5 ++ clayworthS_inv_c6 ++ clayworthS_inv_c7 ++ clayworthS_inv_c8 ++ clayworthS_inv_c9 ++ clayworthS_inv_c10 ++ clayworthS_inv_c11 ++ clayworthS_inv_c12 ++ clayworthS_inv_c13 ++ clayworthS_inv_c14 ++ clayworthS_inv_c15 ++ clayworthS_inv_c16 ++ clayworthS_inv_c17 ++ clayworthS_inv_c18 ++ clayworthS_inv_c19 ++ clayworthS_inv_c20 ++ clayworthS_inv_c21 ++ clayworthS_inv_c22 ++ clayworthS_inv_c23 ++ clayworthS_inv_c24 + +private theorem clayworthR_fwd_size : clayworthR_fwd.size = 12096 := by native_decide +private theorem clayworthR_inv_size : clayworthR_inv.size = 12096 := by native_decide +private theorem clayworthS_fwd_size : clayworthS_fwd.size = 12096 := by native_decide +private theorem clayworthS_inv_size : clayworthS_inv.size = 12096 := by native_decide + +/-! ## Coset projection maps -/ + +private def clayworthVertexOf_data_c0 : Array (Fin 4032) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 148, 149, 146, 147, 144, 145, 164, 165, 163, 162, 167, 166, 24, 25, 27, 26, 29, 28, 14, 15, 12, 13, 17, 16, 123, 122, 124, 125, 121, 120, 2, 3, 0, 1, 5, 4, 82, 83, 79, 78, 80, 81, 117, 116, 115, 114, 119, 118, 65, 64, 61, 60, 62, 63, 99, 98, 101, 100, 97, 96, 171, 170, 172, 173, 169, 168, 178, 179, 177, 176, 174, 175, 74, 75, 76, 77, 72, 73, 84, 85, 86, 87, 88, 89, 47, 46, 44, 45, 43, 42, 9, 8, 10, 11, 6, 7, 138, 139, 143, 142, 140, 141, 110, 111, 112, 113, 108, 109, 105, 104, 102, 103, 107, 106, 50, 51] +private def clayworthVertexOf_data_c1 : Array (Fin 4032) := #[52, 53, 49, 48, 21, 20, 22, 23, 18, 19, 185, 184, 181, 180, 183, 182, 128, 129, 131, 130, 126, 127, 151, 150, 153, 152, 154, 155, 92, 93, 94, 95, 90, 91, 135, 134, 132, 133, 136, 137, 35, 34, 30, 31, 32, 33, 159, 158, 157, 156, 161, 160, 68, 69, 70, 71, 67, 66, 191, 190, 188, 189, 186, 187, 36, 37, 40, 41, 39, 38, 56, 57, 58, 59, 54, 55, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807] +private def clayworthVertexOf_data_c2 : Array (Fin 4032) := #[808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 578, 579, 581, 580, 576, 577, 730, 731, 728, 729, 727, 726, 739, 738, 742, 743, 740, 741, 691, 690, 694, 695, 692, 693, 667, 666, 671, 670, 668, 669, 677, 676, 674, 675, 672, 673, 646, 647, 645, 644, 642, 643, 586, 587, 583, 582, 585, 584, 628, 629, 624, 625, 626, 627, 655, 654, 657, 656, 659, 658, 760, 761, 756, 757, 758, 759, 588, 589, 592, 593, 591, 590, 717, 716, 715, 714, 719, 718, 681, 680, 683, 682, 678, 679, 616, 617, 613, 612, 614, 615, 595, 594, 596, 597, 599, 598, 696, 697, 699, 698, 701, 700, 689, 688, 686, 687, 684, 685, 733, 732, 735, 734, 736, 737, 607, 606, 610, 611, 609, 608, 749, 748, 745, 744, 746, 747, 663, 662, 665, 664, 661, 660, 720, 721, 722, 723, 724, 725, 755, 754, 751, 750, 753, 752, 653, 652, 649, 648, 650, 651, 633, 632, 630, 631, 635, 634, 710, 711, 713, 712, 708, 709, 640, 641, 636, 637, 639, 638, 705, 704, 703, 702, 706, 707, 603, 602, 605, 604, 601, 600, 764, 765, 767, 766, 762, 763, 620, 621, 622, 623, 619, 618, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115] +private def clayworthVertexOf_data_c3 : Array (Fin 4032) := #[1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 775, 774, 777, 776, 778, 779, 798, 799, 800, 801, 802, 803, 930, 931, 933, 932, 935, 934, 915, 914, 912, 913, 917, 916, 865, 864, 867, 866, 869, 868, 904, 905, 903, 902, 901, 900, 849, 848, 847, 846, 851, 850, 944, 945, 947, 946, 942, 943, 892, 893, 890, 891, 889, 888, 938, 939, 937, 936, 941, 940, 769, 768, 770, 771, 773, 772, 957, 956, 955, 954, 959, 958, 831, 830, 829, 828, 833, 832, 825, 824, 822, 823, 827, 826, 929, 928, 924, 925, 926, 927, 920, 921, 922, 923, 918, 919, 807, 806, 809, 808, 805, 804, 906, 907, 909, 908, 911, 910, 881, 880, 877, 876, 879, 878, 794, 795, 793, 792, 797, 796, 844, 845, 840, 841, 843, 842, 887, 886, 883, 882, 884, 885, 838, 839, 834, 835, 836, 837, 897, 896, 895, 894, 898, 899, 782, 783, 781, 780, 784, 785, 859, 858, 860, 861, 863, 862, 789, 788, 791, 790, 787, 786, 872, 873, 874, 875, 871, 870, 811, 810, 813, 812, 815, 814, 818, 819, 820, 821, 816, 817, 852, 853, 857, 856, 855, 854, 953, 952, 948, 949, 951, 950, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423] +private def clayworthVertexOf_data_c4 : Array (Fin 4032) := #[1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 196, 197, 194, 195, 193, 192, 212, 213, 210, 211, 214, 215, 335, 334, 331, 330, 333, 332, 299, 298, 296, 297, 295, 294, 329, 328, 325, 324, 326, 327, 308, 309, 311, 310, 306, 307, 273, 272, 275, 274, 271, 270, 318, 319, 323, 322, 321, 320, 304, 305, 303, 302, 301, 300, 250, 251, 248, 249, 247, 246, 291, 290, 293, 292, 289, 288, 348, 349, 351, 350, 352, 353, 377, 376, 374, 375, 373, 372, 277, 276, 279, 278, 280, 281, 366, 367, 368, 369, 370, 371, 202, 203, 198, 199, 200, 201, 347, 346, 345, 344, 342, 343, 284, 285, 286, 287, 283, 282, 316, 317, 315, 314, 313, 312, 228, 229, 232, 233, 231, 230, 218, 219, 221, 220, 216, 217, 358, 359, 355, 354, 357, 356, 339, 338, 337, 336, 340, 341, 208, 209, 204, 205, 207, 206, 268, 269, 266, 267, 265, 264, 260, 261, 263, 262, 258, 259, 236, 237, 239, 238, 235, 234, 227, 226, 222, 223, 225, 224, 254, 255, 252, 253, 257, 256, 361, 360, 365, 364, 363, 362, 383, 382, 380, 381, 379, 378, 240, 241, 244, 245, 242, 243, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731] +private def clayworthVertexOf_data_c5 : Array (Fin 4032) := #[1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 162, 163, 166, 167, 164, 165, 21, 20, 18, 19, 23, 22, 130, 131, 129, 128, 127, 126, 172, 173, 169, 168, 171, 170, 184, 185, 180, 181, 182, 183, 72, 73, 76, 77, 74, 75, 107, 106, 103, 102, 105, 104, 33, 32, 34, 35, 31, 30, 191, 190, 187, 186, 189, 188, 47, 46, 43, 42, 44, 45, 60, 61, 62, 63, 64, 65, 150, 151, 152, 153, 155, 154, 147, 146, 148, 149, 144, 145, 132, 133, 134, 135, 136, 137, 0, 1, 2, 3, 5, 4, 51, 50, 52, 53, 48, 49, 96, 97, 99, 98, 100, 101, 24, 25, 29, 28, 27, 26, 36, 37, 39, 38, 41, 40, 94, 95, 91, 90, 93, 92] +private def clayworthVertexOf_data_c6 : Array (Fin 4032) := #[121, 120, 123, 122, 124, 125, 113, 112, 109, 108, 111, 110, 81, 80, 79, 78, 82, 83, 158, 159, 160, 161, 157, 156, 143, 142, 141, 140, 139, 138, 86, 87, 84, 85, 88, 89, 6, 7, 11, 10, 8, 9, 15, 14, 16, 17, 13, 12, 114, 115, 116, 117, 118, 119, 69, 68, 71, 70, 67, 66, 59, 58, 55, 54, 57, 56, 178, 179, 177, 176, 175, 174, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539] +private def clayworthVertexOf_data_c7 : Array (Fin 4032) := #[2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 1586, 1587, 1588, 1589, 1584, 1585, 1627, 1626, 1631, 1630, 1628, 1629, 1651, 1650, 1655, 1654, 1652, 1653, 1673, 1672, 1671, 1670, 1668, 1669, 1614, 1615, 1618, 1619, 1617, 1616, 1538, 1539, 1537, 1536, 1541, 1540, 1727, 1726, 1723, 1722, 1725, 1724, 1603, 1602, 1606, 1607, 1604, 1605, 1595, 1594, 1590, 1591, 1593, 1592, 1714, 1715, 1713, 1712, 1710, 1711, 1699, 1698, 1700, 1701, 1702, 1703, 1695, 1694, 1697, 1696, 1692, 1693, 1576, 1577, 1575, 1574, 1572, 1573, 1683, 1682, 1680, 1681, 1685, 1684, 1665, 1664, 1663, 1662, 1667, 1666, 1543, 1542, 1545, 1544, 1546, 1547, 1601, 1600, 1598, 1599, 1596, 1597, 1621, 1620, 1622, 1623, 1625, 1624, 1555, 1554, 1559, 1558, 1557, 1556, 1569, 1568, 1570, 1571, 1566, 1567, 1578, 1579, 1581, 1580, 1583, 1582, 1643, 1642, 1641, 1640, 1638, 1639, 1562, 1563, 1560, 1561, 1565, 1564, 1609, 1608, 1611, 1610, 1612, 1613, 1688, 1689, 1691, 1690, 1686, 1687, 1549, 1548, 1553, 1552, 1551, 1550, 1645, 1644, 1648, 1649, 1647, 1646, 1704, 1705, 1708, 1709, 1707, 1706, 1660, 1661, 1658, 1659, 1656, 1657, 1674, 1675, 1679, 1678, 1677, 1676, 1718, 1719, 1716, 1717, 1720, 1721, 1633, 1632, 1635, 1634, 1637, 1636, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847] +private def clayworthVertexOf_data_c8 : Array (Fin 4032) := #[2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2314, 2315, 2313, 2312, 2311, 2310, 2329, 2328, 2330, 2331, 2332, 2333, 2352, 2353, 2356, 2357, 2354, 2355, 2318, 2319, 2320, 2321, 2316, 2317, 2418, 2419, 2422, 2423, 2420, 2421, 2434, 2435, 2432, 2433, 2430, 2431, 2305, 2304, 2308, 2309, 2307, 2306, 2495, 2494, 2490, 2491, 2493, 2492, 2394, 2395, 2398, 2399, 2396, 2397, 2335, 2334, 2336, 2337, 2339, 2338, 2457, 2456, 2455, 2454, 2458, 2459, 2481, 2480, 2479, 2478, 2483, 2482, 2384, 2385, 2386, 2387, 2382, 2383, 2471, 2470, 2467, 2466, 2468, 2469, 2344, 2345, 2342, 2343, 2340, 2341, 2453, 2452, 2449, 2448, 2451, 2450, 2390, 2391, 2389, 2388, 2392, 2393, 2368, 2369, 2365, 2364, 2367, 2366, 2322, 2323, 2326, 2327, 2324, 2325, 2361, 2360, 2359, 2358, 2363, 2362, 2416, 2417, 2413, 2412, 2414, 2415, 2401, 2400, 2402, 2403, 2404, 2405, 2348, 2349, 2346, 2347, 2350, 2351, 2408, 2409, 2406, 2407, 2411, 2410, 2474, 2475, 2472, 2473, 2476, 2477, 2464, 2465, 2463, 2462, 2460, 2461, 2441, 2440, 2437, 2436, 2439, 2438, 2426, 2427, 2428, 2429, 2424, 2425, 2372, 2373, 2374, 2375, 2371, 2370, 2445, 2444, 2446, 2447, 2443, 2442, 2380, 2381, 2379, 2378, 2376, 2377, 2489, 2488, 2487, 2486, 2484, 2485, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155] +private def clayworthVertexOf_data_c9 : Array (Fin 4032) := #[3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 2354, 2355, 2352, 2353, 2356, 2357, 2305, 2304, 2307, 2306, 2308, 2309, 2325, 2324, 2327, 2326, 2323, 2322, 2441, 2440, 2439, 2438, 2437, 2436, 2419, 2418, 2423, 2422, 2420, 2421, 2374, 2375, 2371, 2370, 2372, 2373, 2410, 2411, 2406, 2407, 2408, 2409, 2424, 2425, 2429, 2428, 2426, 2427, 2313, 2312, 2314, 2315, 2311, 2310, 2386, 2387, 2384, 2385, 2382, 2383, 2488, 2489, 2486, 2487, 2484, 2485, 2396, 2397, 2398, 2399, 2394, 2395, 2430, 2431, 2433, 2432, 2435, 2434, 2460, 2461, 2465, 2464, 2463, 2462, 2455, 2454, 2457, 2456, 2458, 2459, 2328, 2329, 2331, 2330, 2333, 2332, 2369, 2368, 2365, 2364, 2367, 2366, 2491, 2490, 2495, 2494, 2492, 2493, 2470, 2471, 2466, 2467, 2469, 2468, 2414, 2415, 2412, 2413, 2417, 2416, 2343, 2342, 2344, 2345, 2341, 2340, 2388, 2389, 2391, 2390, 2393, 2392, 2452, 2453, 2450, 2451, 2449, 2448, 2403, 2402, 2405, 2404, 2400, 2401, 2444, 2445, 2447, 2446, 2443, 2442, 2316, 2317, 2320, 2321, 2319, 2318, 2348, 2349, 2346, 2347, 2351, 2350, 2335, 2334, 2336, 2337, 2339, 2338, 2472, 2473, 2474, 2475, 2477, 2476, 2478, 2479, 2482, 2483, 2481, 2480, 2360, 2361, 2363, 2362, 2358, 2359, 2376, 2377, 2379, 2378, 2380, 2381, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 450, 451, 452, 453, 455, 454, 388, 389] +private def clayworthVertexOf_data_c10 : Array (Fin 4032) := #[385, 384, 386, 387, 404, 405, 407, 406, 402, 403, 508, 509, 506, 507, 505, 504, 462, 463, 467, 466, 465, 464, 494, 495, 497, 496, 492, 493, 473, 472, 470, 471, 468, 469, 390, 391, 392, 393, 394, 395, 400, 401, 399, 398, 396, 397, 536, 537, 539, 538, 535, 534, 560, 561, 562, 563, 558, 559, 554, 555, 557, 556, 553, 552, 501, 500, 502, 503, 499, 498, 520, 521, 517, 516, 518, 519, 477, 476, 478, 479, 474, 475, 456, 457, 458, 459, 461, 460, 446, 447, 448, 449, 445, 444, 408, 409, 412, 413, 410, 411, 567, 566, 565, 564, 569, 568, 489, 488, 491, 490, 486, 487, 484, 485, 483, 482, 480, 481, 436, 437, 434, 435, 432, 433, 523, 522, 524, 525, 527, 526, 422, 423, 424, 425, 420, 421, 544, 545, 540, 541, 542, 543, 513, 512, 510, 511, 514, 515, 416, 417, 419, 418, 414, 415, 430, 431, 427, 426, 428, 429, 531, 530, 528, 529, 533, 532, 546, 547, 550, 551, 549, 548, 575, 574, 573, 572, 571, 570, 443, 442, 438, 439, 441, 440, 1738, 1739, 1735, 1734, 1736, 1737, 1785, 1784, 1783, 1782, 1787, 1786, 1753, 1752, 1754, 1755, 1756, 1757, 1876, 1877, 1873, 1872, 1874, 1875, 1751, 1750, 1747, 1746, 1749, 1748, 1891, 1890, 1892, 1893, 1895, 1894, 1814, 1815, 1812, 1813, 1816, 1817, 1793, 1792, 1790, 1791, 1788, 1789, 1919, 1918, 1915, 1914, 1917, 1916, 1802, 1803, 1804, 1805, 1800, 1801, 1867, 1866, 1868, 1869, 1871, 1870, 1906, 1907, 1904, 1905, 1902, 1903, 1809, 1808, 1806, 1807, 1811, 1810, 1881, 1880, 1882, 1883, 1878, 1879, 1862, 1863, 1860, 1861, 1865, 1864, 1728, 1729, 1731, 1730, 1732, 1733, 1769, 1768, 1766, 1767, 1765, 1764, 1798, 1799, 1797, 1796, 1795, 1794, 1779, 1778, 1776, 1777, 1780, 1781, 1828, 1829, 1825, 1824, 1826, 1827, 1772, 1773, 1770, 1771, 1774, 1775, 1761, 1760, 1762, 1763, 1758, 1759, 1885, 1884, 1887, 1886, 1888, 1889, 1819, 1818, 1823, 1822, 1820, 1821, 1852, 1853, 1849, 1848, 1851, 1850, 1741, 1740, 1744, 1745, 1743, 1742, 1836, 1837, 1839, 1838, 1841, 1840, 1899, 1898, 1901, 1900, 1896, 1897, 1844, 1845, 1847, 1846, 1842, 1843, 1856, 1857, 1859, 1858, 1855, 1854, 1912, 1913, 1909, 1908, 1910, 1911, 1832, 1833, 1834, 1835, 1830, 1831, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579] +private def clayworthVertexOf_data_c11 : Array (Fin 4032) := #[3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 2884, 2885, 2882, 2883, 2880, 2881, 2912, 2913, 2911, 2910, 2915, 2914, 2893, 2892, 2895, 2894, 2897, 2896, 3035, 3034, 3031, 3030, 3033, 3032, 3004, 3005, 3000, 3001, 3002, 3003, 3011, 3010, 3006, 3007, 3008, 3009, 3046, 3047, 3045, 3044, 3043, 3042, 3069, 3068, 3067, 3066, 3071, 3070, 2973, 2972, 2970, 2971, 2975, 2974, 2933, 2932, 2930, 2931, 2928, 2929, 3025, 3024, 3028, 3029, 3027, 3026, 3059, 3058, 3055, 3054, 3056, 3057, 2950, 2951, 2948, 2949, 2946, 2947, 3038, 3039, 3040, 3041, 3036, 3037, 3021, 3020, 3022, 3023, 3018, 3019, 2938, 2939, 2934, 2935, 2937, 2936, 2925, 2924, 2922, 2923, 2926, 2927, 2906, 2907, 2904, 2905, 2908, 2909, 2919, 2918, 2917, 2916, 2920, 2921, 2992, 2993, 2988, 2989, 2990, 2991, 2961, 2960, 2959, 2958, 2963, 2962, 2899, 2898, 2902, 2903, 2901, 2900, 2982, 2983, 2984, 2985, 2987, 2986, 2966, 2967, 2964, 2965, 2968, 2969, 2997, 2996, 2998, 2999, 2994, 2995, 3052, 3053, 3049, 3048, 3050, 3051, 2886, 2887, 2891, 2890, 2888, 2889, 3014, 3015, 3012, 3013, 3016, 3017, 2955, 2954, 2956, 2957, 2953, 2952, 2941, 2940, 2945, 2944, 2943, 2942, 2981, 2980, 2977, 2976, 2979, 2978, 3065, 3064, 3063, 3062, 3061, 3060, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 266, 267, 268, 269, 265, 264, 294, 295, 298, 299, 297, 296, 312, 313, 316, 317, 314, 315, 352, 353, 348, 349, 350, 351, 347, 346, 345, 344, 343, 342, 194, 195, 193, 192, 196, 197, 227, 226, 224, 225, 223, 222, 382, 383, 378, 379, 380, 381] +private def clayworthVertexOf_data_c12 : Array (Fin 4032) := #[365, 364, 363, 362, 361, 360, 247, 246, 251, 250, 249, 248, 232, 233, 231, 230, 228, 229, 339, 338, 337, 336, 340, 341, 288, 289, 290, 291, 292, 293, 210, 211, 213, 212, 215, 214, 218, 219, 216, 217, 221, 220, 287, 286, 282, 283, 285, 284, 260, 261, 259, 258, 263, 262, 329, 328, 325, 324, 327, 326, 234, 235, 238, 239, 237, 236, 274, 275, 270, 271, 272, 273, 209, 208, 207, 206, 205, 204, 307, 306, 309, 308, 310, 311, 278, 279, 276, 277, 281, 280, 330, 331, 334, 335, 332, 333, 199, 198, 203, 202, 200, 201, 354, 355, 359, 358, 356, 357, 323, 322, 321, 320, 318, 319, 369, 368, 367, 366, 370, 371, 254, 255, 256, 257, 252, 253, 243, 242, 244, 245, 240, 241, 301, 300, 305, 304, 302, 303, 376, 377, 374, 375, 372, 373, 2507, 2506, 2505, 2504, 2503, 2502, 2527, 2526, 2529, 2528, 2531, 2530, 2548, 2549, 2544, 2545, 2547, 2546, 2619, 2618, 2621, 2620, 2617, 2616, 2668, 2669, 2664, 2665, 2666, 2667, 2496, 2497, 2498, 2499, 2501, 2500, 2603, 2602, 2600, 2601, 2599, 2598, 2534, 2535, 2536, 2537, 2533, 2532, 2558, 2559, 2561, 2560, 2557, 2556, 2674, 2675, 2670, 2671, 2672, 2673, 2655, 2654, 2656, 2657, 2652, 2653, 2649, 2648, 2650, 2651, 2646, 2647, 2570, 2571, 2568, 2569, 2573, 2572, 2627, 2626, 2622, 2623, 2625, 2624, 2592, 2593, 2595, 2594, 2596, 2597, 2555, 2554, 2550, 2551, 2552, 2553, 2576, 2577, 2578, 2579, 2574, 2575, 2631, 2630, 2633, 2632, 2629, 2628, 2539, 2538, 2543, 2542, 2541, 2540, 2614, 2615, 2610, 2611, 2612, 2613, 2524, 2525, 2521, 2520, 2522, 2523, 2660, 2661, 2659, 2658, 2663, 2662, 2587, 2586, 2591, 2590, 2589, 2588, 2581, 2580, 2584, 2585, 2582, 2583, 2638, 2639, 2634, 2635, 2637, 2636, 2508, 2509, 2512, 2513, 2510, 2511, 2518, 2519, 2514, 2515, 2516, 2517, 2642, 2643, 2644, 2645, 2640, 2641, 2678, 2679, 2676, 2677, 2681, 2680, 2562, 2563, 2566, 2567, 2565, 2564, 2604, 2605, 2607, 2606, 2609, 2608, 2686, 2687, 2685, 2684, 2682, 2683, 2545, 2544, 2547, 2546, 2549, 2548, 2499, 2498, 2500, 2501, 2496, 2497, 2647, 2646, 2650, 2651, 2649, 2648, 2516, 2517, 2518, 2519, 2515, 2514, 2639, 2638, 2636, 2637, 2634, 2635, 2630, 2631, 2629, 2628, 2633, 2632, 2504, 2505, 2507, 2506, 2503, 2502, 2606, 2607, 2609, 2608, 2605, 2604, 2596, 2597, 2593, 2592, 2595, 2594, 2666, 2667, 2669, 2668, 2665, 2664, 2682, 2683, 2686, 2687, 2685, 2684, 2586, 2587, 2589, 2588, 2591, 2590, 2681, 2680, 2676, 2677, 2678, 2679, 2559, 2558, 2561, 2560, 2557, 2556, 2510, 2511, 2513, 2512, 2508, 2509, 2613, 2612, 2615, 2614, 2610, 2611, 2527, 2526, 2529, 2528, 2531, 2530, 2599, 2598, 2600, 2601, 2602, 2603, 2624, 2625, 2626, 2627, 2622, 2623, 2653, 2652, 2654, 2655, 2657, 2656, 2522, 2523, 2524, 2525, 2521, 2520, 2617, 2616, 2618, 2619, 2620, 2621, 2581, 2580, 2582, 2583, 2585, 2584, 2568, 2569, 2571, 2570, 2572, 2573, 2578, 2579, 2574, 2575, 2576, 2577, 2643, 2642, 2640, 2641, 2645, 2644, 2540, 2541, 2542, 2543, 2538, 2539, 2534, 2535] +private def clayworthVertexOf_data_c13 : Array (Fin 4032) := #[2532, 2533, 2536, 2537, 2658, 2659, 2662, 2663, 2661, 2660, 2671, 2670, 2672, 2673, 2674, 2675, 2555, 2554, 2551, 2550, 2553, 2552, 2565, 2564, 2566, 2567, 2562, 2563, 847, 846, 848, 849, 850, 851, 773, 772, 770, 771, 768, 769, 922, 923, 921, 920, 919, 918, 931, 930, 934, 935, 933, 932, 789, 788, 786, 787, 791, 790, 899, 898, 897, 896, 894, 895, 885, 884, 883, 882, 887, 886, 815, 814, 810, 811, 813, 812, 873, 872, 875, 874, 871, 870, 774, 775, 778, 779, 776, 777, 855, 854, 853, 852, 857, 856, 826, 827, 824, 825, 822, 823, 946, 947, 943, 942, 945, 944, 951, 950, 953, 952, 949, 948, 833, 832, 829, 828, 831, 830, 858, 859, 860, 861, 863, 862, 784, 785, 780, 781, 782, 783, 889, 888, 891, 890, 893, 892, 799, 798, 801, 800, 802, 803, 956, 957, 954, 955, 958, 959, 900, 901, 902, 903, 904, 905, 878, 879, 880, 881, 876, 877, 924, 925, 929, 928, 926, 927, 938, 939, 937, 936, 941, 940, 842, 843, 841, 840, 844, 845, 867, 866, 868, 869, 865, 864, 808, 809, 807, 806, 804, 805, 913, 912, 916, 917, 914, 915, 797, 796, 795, 794, 793, 792, 834, 835, 836, 837, 838, 839, 908, 909, 907, 906, 911, 910, 817, 816, 821, 820, 818, 819, 2151, 2150, 2148, 2149, 2153, 2152, 2161, 2160, 2165, 2164, 2163, 2162, 2215, 2214, 2219, 2218, 2217, 2216, 2271, 2270, 2273, 2272, 2269, 2268, 2254, 2255, 2250, 2251, 2253, 2252, 2289, 2288, 2287, 2286, 2291, 2290, 2248, 2249, 2246, 2247, 2245, 2244, 2113, 2112, 2114, 2115, 2117, 2116, 2295, 2294, 2292, 2293, 2297, 2296, 2213, 2212, 2208, 2209, 2211, 2210, 2299, 2298, 2302, 2303, 2300, 2301, 2171, 2170, 2169, 2168, 2167, 2166, 2263, 2262, 2265, 2264, 2267, 2266, 2185, 2184, 2188, 2189, 2187, 2186, 2277, 2276, 2278, 2279, 2275, 2274, 2159, 2158, 2156, 2157, 2155, 2154, 2256, 2257, 2258, 2259, 2260, 2261, 2194, 2195, 2190, 2191, 2193, 2192, 2174, 2175, 2176, 2177, 2173, 2172, 2131, 2130, 2135, 2134, 2133, 2132, 2144, 2145, 2142, 2143, 2147, 2146, 2197, 2196, 2198, 2199, 2201, 2200, 2238, 2239, 2240, 2241, 2242, 2243, 2237, 2236, 2235, 2234, 2232, 2233, 2138, 2139, 2137, 2136, 2141, 2140, 2127, 2126, 2129, 2128, 2125, 2124, 2227, 2226, 2229, 2228, 2230, 2231, 2283, 2282, 2280, 2281, 2285, 2284, 2205, 2204, 2207, 2206, 2203, 2202, 2119, 2118, 2123, 2122, 2120, 2121, 2179, 2178, 2181, 2180, 2182, 2183, 2221, 2220, 2222, 2223, 2224, 2225, 1374, 1375, 1378, 1379, 1377, 1376, 1397, 1396, 1395, 1394, 1393, 1392, 1417, 1416, 1420, 1421, 1418, 1419, 1367, 1366, 1362, 1363, 1364, 1365, 1494, 1495, 1498, 1499, 1497, 1496, 1358, 1359, 1357, 1356, 1361, 1360, 1474, 1475, 1473, 1472, 1470, 1471, 1503, 1502, 1500, 1501, 1504, 1505, 1532, 1533, 1530, 1531, 1534, 1535, 1382, 1383, 1384, 1385, 1381, 1380, 1482, 1483, 1486, 1487, 1485, 1484, 1517, 1516, 1515, 1514, 1513, 1512, 1489, 1488, 1491, 1490, 1493, 1492, 1391, 1390, 1388, 1389, 1386, 1387, 1478, 1479, 1476, 1477] +private def clayworthVertexOf_data_c14 : Array (Fin 4032) := #[1480, 1481, 1414, 1415, 1410, 1411, 1412, 1413, 1462, 1463, 1458, 1459, 1460, 1461, 1344, 1345, 1346, 1347, 1349, 1348, 1370, 1371, 1369, 1368, 1373, 1372, 1398, 1399, 1403, 1402, 1400, 1401, 1469, 1468, 1464, 1465, 1467, 1466, 1450, 1451, 1448, 1449, 1447, 1446, 1441, 1440, 1443, 1442, 1444, 1445, 1431, 1430, 1432, 1433, 1428, 1429, 1425, 1424, 1426, 1427, 1423, 1422, 1350, 1351, 1354, 1355, 1353, 1352, 1509, 1508, 1511, 1510, 1507, 1506, 1456, 1457, 1454, 1455, 1452, 1453, 1407, 1406, 1409, 1408, 1404, 1405, 1522, 1523, 1519, 1518, 1520, 1521, 1439, 1438, 1434, 1435, 1437, 1436, 1529, 1528, 1524, 1525, 1527, 1526, 3662, 3663, 3664, 3665, 3660, 3661, 3737, 3736, 3734, 3735, 3732, 3733, 3681, 3680, 3683, 3682, 3678, 3679, 3811, 3810, 3812, 3813, 3814, 3815, 3674, 3675, 3672, 3673, 3677, 3676, 3757, 3756, 3760, 3761, 3758, 3759, 3778, 3779, 3776, 3777, 3774, 3775, 3824, 3825, 3823, 3822, 3827, 3826, 3816, 3817, 3818, 3819, 3820, 3821, 3649, 3648, 3651, 3650, 3652, 3653, 3834, 3835, 3838, 3839, 3837, 3836, 3748, 3749, 3745, 3744, 3747, 3746, 3711, 3710, 3712, 3713, 3708, 3709, 3793, 3792, 3795, 3794, 3797, 3796, 3800, 3801, 3803, 3802, 3799, 3798, 3700, 3701, 3698, 3699, 3697, 3696, 3787, 3786, 3789, 3788, 3791, 3790, 3655, 3654, 3656, 3657, 3659, 3658, 3741, 3740, 3739, 3738, 3742, 3743, 3687, 3686, 3689, 3688, 3685, 3684, 3729, 3728, 3727, 3726, 3730, 3731, 3703, 3702, 3705, 3704, 3707, 3706, 3693, 3692, 3691, 3690, 3694, 3695, 3750, 3751, 3752, 3753, 3754, 3755, 3805, 3804, 3806, 3807, 3809, 3808, 3768, 3769, 3770, 3771, 3773, 3772, 3828, 3829, 3833, 3832, 3831, 3830, 3668, 3669, 3670, 3671, 3666, 3667, 3764, 3765, 3766, 3767, 3762, 3763, 3719, 3718, 3715, 3714, 3716, 3717, 3782, 3783, 3785, 3784, 3781, 3780, 3723, 3722, 3724, 3725, 3721, 3720, 3295, 3294, 3299, 3298, 3297, 3296, 3355, 3354, 3358, 3359, 3356, 3357, 3426, 3427, 3429, 3428, 3431, 3430, 3415, 3414, 3419, 3418, 3417, 3416, 3377, 3376, 3374, 3375, 3373, 3372, 3440, 3441, 3439, 3438, 3443, 3442, 3389, 3388, 3386, 3387, 3385, 3384, 3432, 3433, 3434, 3435, 3436, 3437, 3310, 3311, 3308, 3309, 3307, 3306, 3402, 3403, 3405, 3404, 3406, 3407, 3444, 3445, 3448, 3449, 3446, 3447, 3327, 3326, 3329, 3328, 3325, 3324, 3421, 3420, 3424, 3425, 3422, 3423, 3396, 3397, 3398, 3399, 3401, 3400, 3264, 3265, 3267, 3266, 3269, 3268, 3316, 3317, 3312, 3313, 3314, 3315, 3349, 3348, 3353, 3352, 3351, 3350, 3276, 3277, 3278, 3279, 3280, 3281, 3300, 3301, 3303, 3302, 3305, 3304, 3347, 3346, 3343, 3342, 3344, 3345, 3380, 3381, 3383, 3382, 3379, 3378, 3289, 3288, 3293, 3292, 3291, 3290, 3285, 3284, 3283, 3282, 3287, 3286, 3360, 3361, 3363, 3362, 3364, 3365, 3408, 3409, 3412, 3413, 3410, 3411, 3337, 3336, 3340, 3341, 3339, 3338, 3331, 3330, 3334, 3335, 3333, 3332, 3390, 3391, 3394, 3395, 3393, 3392, 3369, 3368, 3370, 3371, 3366, 3367, 3275, 3274, 3270, 3271, 3273, 3272, 3319, 3318, 3321, 3320, 3323, 3322, 3452, 3453, 3451, 3450, 3455, 3454, 1248, 1249, 1250, 1251, 1252, 1253, 1310, 1311, 1309, 1308, 1312, 1313] +private def clayworthVertexOf_data_c15 : Array (Fin 4032) := #[1171, 1170, 1173, 1172, 1175, 1174, 1159, 1158, 1160, 1161, 1163, 1162, 1294, 1295, 1293, 1292, 1290, 1291, 1270, 1271, 1267, 1266, 1268, 1269, 1216, 1217, 1213, 1212, 1215, 1214, 1285, 1284, 1286, 1287, 1289, 1288, 1156, 1157, 1152, 1153, 1154, 1155, 1259, 1258, 1257, 1256, 1255, 1254, 1236, 1237, 1240, 1241, 1238, 1239, 1331, 1330, 1327, 1326, 1328, 1329, 1281, 1280, 1283, 1282, 1278, 1279, 1274, 1275, 1277, 1276, 1272, 1273, 1179, 1178, 1176, 1177, 1180, 1181, 1260, 1261, 1262, 1263, 1265, 1264, 1211, 1210, 1206, 1207, 1208, 1209, 1333, 1332, 1337, 1336, 1334, 1335, 1296, 1297, 1298, 1299, 1301, 1300, 1315, 1314, 1317, 1316, 1318, 1319, 1244, 1245, 1246, 1247, 1242, 1243, 1193, 1192, 1190, 1191, 1188, 1189, 1302, 1303, 1306, 1307, 1305, 1304, 1321, 1320, 1324, 1325, 1323, 1322, 1234, 1235, 1230, 1231, 1232, 1233, 1169, 1168, 1167, 1166, 1165, 1164, 1229, 1228, 1225, 1224, 1227, 1226, 1219, 1218, 1223, 1222, 1220, 1221, 1198, 1199, 1196, 1197, 1194, 1195, 1184, 1185, 1186, 1187, 1182, 1183, 1341, 1340, 1343, 1342, 1338, 1339, 1205, 1204, 1200, 1201, 1203, 1202, 1931, 1930, 1927, 1926, 1929, 1928, 1953, 1952, 1950, 1951, 1955, 1954, 2017, 2016, 2021, 2020, 2019, 2018, 2077, 2076, 2080, 2081, 2078, 2079, 2041, 2040, 2045, 2044, 2042, 2043, 2069, 2068, 2067, 2066, 2064, 2065, 2010, 2011, 2012, 2013, 2015, 2014, 2092, 2093, 2088, 2089, 2090, 2091, 2062, 2063, 2060, 2061, 2058, 2059, 2082, 2083, 2085, 2084, 2086, 2087, 1986, 1987, 1990, 1991, 1989, 1988, 1961, 1960, 1959, 1958, 1956, 1957, 1966, 1967, 1964, 1965, 1962, 1963, 2102, 2103, 2100, 2101, 2104, 2105, 1983, 1982, 1980, 1981, 1985, 1984, 2056, 2057, 2052, 2053, 2055, 2054, 1920, 1921, 1922, 1923, 1925, 1924, 1973, 1972, 1969, 1968, 1971, 1970, 1938, 1939, 1940, 1941, 1942, 1943, 2009, 2008, 2005, 2004, 2007, 2006, 1997, 1996, 1993, 1992, 1995, 1994, 2033, 2032, 2028, 2029, 2030, 2031, 1947, 1946, 1948, 1949, 1944, 1945, 1936, 1937, 1935, 1934, 1933, 1932, 2026, 2027, 2023, 2022, 2025, 2024, 2073, 2072, 2070, 2071, 2075, 2074, 1998, 1999, 2000, 2001, 2002, 2003, 2037, 2036, 2038, 2039, 2034, 2035, 2094, 2095, 2099, 2098, 2097, 2096, 2050, 2051, 2048, 2049, 2047, 2046, 1974, 1975, 1979, 1978, 1977, 1976, 2111, 2110, 2109, 2108, 2107, 2106, 3650, 3651, 3652, 3653, 3648, 3649, 3801, 3800, 3799, 3798, 3802, 3803, 3810, 3811, 3814, 3815, 3812, 3813, 3687, 3686, 3685, 3684, 3689, 3688, 3669, 3668, 3667, 3666, 3671, 3670, 3772, 3773, 3768, 3769, 3770, 3771, 3752, 3753, 3754, 3755, 3750, 3751, 3654, 3655, 3658, 3659, 3657, 3656, 3717, 3716, 3719, 3718, 3715, 3714, 3764, 3765, 3767, 3766, 3762, 3763, 3663, 3662, 3665, 3664, 3661, 3660, 3742, 3743, 3741, 3740, 3739, 3738, 3826, 3827, 3822, 3823, 3824, 3825, 3708, 3709, 3713, 3712, 3710, 3711, 3793, 3792, 3797, 3796, 3795, 3794, 3745, 3744, 3747, 3746, 3748, 3749, 3675, 3674, 3676, 3677, 3672, 3673, 3835, 3834, 3838, 3839, 3836, 3837, 3776, 3777, 3778, 3779, 3775, 3774, 3690, 3691, 3694, 3695, 3692, 3693, 3820, 3821, 3817, 3816, 3818, 3819, 3761, 3760] +private def clayworthVertexOf_data_c16 : Array (Fin 4032) := #[3759, 3758, 3756, 3757, 3698, 3699, 3700, 3701, 3696, 3697, 3832, 3833, 3828, 3829, 3830, 3831, 3788, 3789, 3790, 3791, 3786, 3787, 3737, 3736, 3733, 3732, 3734, 3735, 3728, 3729, 3730, 3731, 3726, 3727, 3782, 3783, 3784, 3785, 3780, 3781, 3679, 3678, 3682, 3683, 3680, 3681, 3705, 3704, 3702, 3703, 3707, 3706, 3805, 3804, 3809, 3808, 3807, 3806, 3721, 3720, 3725, 3724, 3723, 3722, 1157, 1156, 1152, 1153, 1155, 1154, 1178, 1179, 1177, 1176, 1181, 1180, 1228, 1229, 1227, 1226, 1224, 1225, 1267, 1266, 1271, 1270, 1269, 1268, 1305, 1304, 1306, 1307, 1302, 1303, 1298, 1299, 1300, 1301, 1297, 1296, 1249, 1248, 1251, 1250, 1252, 1253, 1333, 1332, 1337, 1336, 1334, 1335, 1264, 1265, 1261, 1260, 1263, 1262, 1184, 1185, 1187, 1186, 1182, 1183, 1343, 1342, 1339, 1338, 1341, 1340, 1317, 1316, 1319, 1318, 1314, 1315, 1312, 1313, 1311, 1310, 1309, 1308, 1192, 1193, 1190, 1191, 1188, 1189, 1211, 1210, 1206, 1207, 1208, 1209, 1255, 1254, 1256, 1257, 1259, 1258, 1171, 1170, 1174, 1175, 1172, 1173, 1204, 1205, 1203, 1202, 1201, 1200, 1247, 1246, 1243, 1242, 1244, 1245, 1219, 1218, 1221, 1220, 1223, 1222, 1194, 1195, 1196, 1197, 1199, 1198, 1277, 1276, 1275, 1274, 1273, 1272, 1169, 1168, 1167, 1166, 1164, 1165, 1237, 1236, 1240, 1241, 1238, 1239, 1232, 1233, 1230, 1231, 1235, 1234, 1295, 1294, 1290, 1291, 1293, 1292, 1281, 1280, 1283, 1282, 1279, 1278, 1323, 1322, 1320, 1321, 1325, 1324, 1159, 1158, 1160, 1161, 1162, 1163, 1287, 1286, 1285, 1284, 1288, 1289, 1213, 1212, 1216, 1217, 1214, 1215, 1329, 1328, 1327, 1326, 1330, 1331, 1883, 1882, 1881, 1880, 1879, 1878, 1768, 1769, 1764, 1765, 1767, 1766, 1853, 1852, 1850, 1851, 1848, 1849, 1728, 1729, 1731, 1730, 1732, 1733, 1842, 1843, 1846, 1847, 1844, 1845, 1734, 1735, 1738, 1739, 1737, 1736, 1830, 1831, 1833, 1832, 1834, 1835, 1810, 1811, 1808, 1809, 1806, 1807, 1890, 1891, 1892, 1893, 1894, 1895, 1816, 1817, 1813, 1812, 1814, 1815, 1910, 1911, 1912, 1913, 1909, 1908, 1801, 1800, 1802, 1803, 1805, 1804, 1837, 1836, 1838, 1839, 1841, 1840, 1742, 1743, 1744, 1745, 1740, 1741, 1866, 1867, 1870, 1871, 1869, 1868, 1785, 1784, 1783, 1782, 1787, 1786, 1750, 1751, 1748, 1749, 1747, 1746, 1775, 1774, 1770, 1771, 1772, 1773, 1826, 1827, 1828, 1829, 1824, 1825, 1874, 1875, 1872, 1873, 1876, 1877, 1779, 1778, 1781, 1780, 1776, 1777, 1896, 1897, 1899, 1898, 1901, 1900, 1821, 1820, 1823, 1822, 1819, 1818, 1862, 1863, 1860, 1861, 1864, 1865, 1761, 1760, 1758, 1759, 1762, 1763, 1857, 1856, 1858, 1859, 1854, 1855, 1752, 1753, 1756, 1757, 1755, 1754, 1793, 1792, 1789, 1788, 1790, 1791, 1885, 1884, 1888, 1889, 1887, 1886, 1902, 1903, 1906, 1907, 1904, 1905, 1916, 1917, 1919, 1918, 1914, 1915, 1798, 1799, 1794, 1795, 1796, 1797, 987, 986, 985, 984, 989, 988, 1035, 1034, 1032, 1033, 1036, 1037, 967, 966, 968, 969, 970, 971, 1057, 1056, 1060, 1061, 1059, 1058, 1135, 1134, 1138, 1139, 1136, 1137, 1115, 1114, 1110, 1111, 1113, 1112, 1079, 1078, 1074, 1075, 1076, 1077, 1097, 1096, 1092, 1093, 1094, 1095, 1027, 1026, 1029, 1028] +private def clayworthVertexOf_data_c17 : Array (Fin 4032) := #[1031, 1030, 1052, 1053, 1055, 1054, 1050, 1051, 1147, 1146, 1151, 1150, 1148, 1149, 1123, 1122, 1126, 1127, 1125, 1124, 1121, 1120, 1119, 1118, 1116, 1117, 994, 995, 991, 990, 992, 993, 1105, 1104, 1106, 1107, 1109, 1108, 1015, 1014, 1016, 1017, 1019, 1018, 1082, 1083, 1080, 1081, 1084, 1085, 961, 960, 963, 962, 965, 964, 973, 972, 977, 976, 975, 974, 1003, 1002, 1005, 1004, 1007, 1006, 1090, 1091, 1086, 1087, 1088, 1089, 1001, 1000, 997, 996, 998, 999, 981, 980, 978, 979, 983, 982, 1038, 1039, 1041, 1040, 1042, 1043, 1130, 1131, 1129, 1128, 1132, 1133, 1044, 1045, 1046, 1047, 1049, 1048, 1099, 1098, 1100, 1101, 1103, 1102, 1070, 1071, 1073, 1072, 1069, 1068, 1141, 1140, 1145, 1144, 1142, 1143, 1022, 1023, 1024, 1025, 1020, 1021, 1011, 1010, 1012, 1013, 1008, 1009, 1065, 1064, 1062, 1063, 1067, 1066, 1392, 1393, 1395, 1394, 1397, 1396, 1499, 1498, 1494, 1495, 1496, 1497, 1370, 1371, 1369, 1368, 1373, 1372, 1467, 1466, 1464, 1465, 1468, 1469, 1444, 1445, 1442, 1443, 1441, 1440, 1344, 1345, 1346, 1347, 1349, 1348, 1409, 1408, 1407, 1406, 1404, 1405, 1453, 1452, 1455, 1454, 1456, 1457, 1434, 1435, 1438, 1439, 1437, 1436, 1526, 1527, 1528, 1529, 1524, 1525, 1431, 1430, 1432, 1433, 1428, 1429, 1521, 1520, 1523, 1522, 1518, 1519, 1354, 1355, 1350, 1351, 1352, 1353, 1485, 1484, 1482, 1483, 1487, 1486, 1448, 1449, 1450, 1451, 1446, 1447, 1375, 1374, 1379, 1378, 1377, 1376, 1359, 1358, 1357, 1356, 1361, 1360, 1530, 1531, 1533, 1532, 1535, 1534, 1470, 1471, 1472, 1473, 1475, 1474, 1460, 1461, 1462, 1463, 1458, 1459, 1492, 1493, 1489, 1488, 1491, 1490, 1502, 1503, 1500, 1501, 1505, 1504, 1391, 1390, 1388, 1389, 1387, 1386, 1506, 1507, 1508, 1509, 1511, 1510, 1423, 1422, 1424, 1425, 1427, 1426, 1410, 1411, 1412, 1413, 1415, 1414, 1478, 1479, 1476, 1477, 1480, 1481, 1420, 1421, 1416, 1417, 1418, 1419, 1363, 1362, 1366, 1367, 1365, 1364, 1381, 1380, 1382, 1383, 1384, 1385, 1513, 1512, 1517, 1516, 1514, 1515, 1400, 1401, 1399, 1398, 1403, 1402, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007] +private def clayworthVertexOf_data_c18 : Array (Fin 4032) := #[4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 3504, 3505, 3506, 3507, 3508, 3509, 3564, 3565, 3567, 3566, 3569, 3568, 3601, 3600, 3605, 3604, 3603, 3602, 3622, 3623, 3619, 3618, 3621, 3620, 3483, 3482, 3481, 3480, 3484, 3485, 3464, 3465, 3467, 3466, 3463, 3462, 3594, 3595, 3599, 3598, 3597, 3596, 3578, 3579, 3576, 3577, 3580, 3581, 3520, 3521, 3517, 3516, 3519, 3518, 3556, 3557, 3555, 3554, 3552, 3553, 3457, 3456, 3460, 3461, 3459, 3458, 3570, 3571, 3572, 3573, 3574, 3575, 3527, 3526, 3525, 3524, 3523, 3522, 3629, 3628, 3624, 3625, 3626, 3627, 3646, 3647, 3643, 3642, 3644, 3645, 3534, 3535, 3538, 3539, 3537, 3536, 3559, 3558, 3562, 3563, 3560, 3561, 3640, 3641, 3636, 3637, 3638, 3639, 3588, 3589, 3590, 3591, 3593, 3592, 3585, 3584, 3587, 3586, 3583, 3582, 3512, 3513, 3511, 3510, 3515, 3514, 3472, 3473, 3470, 3471, 3468, 3469, 3606, 3607, 3609, 3608, 3611, 3610, 3488, 3489, 3490, 3491, 3486, 3487, 3503, 3502, 3501, 3500, 3499, 3498, 3496, 3497, 3495, 3494, 3493, 3492, 3551, 3550, 3547, 3546, 3548, 3549, 3541, 3540, 3545, 3544, 3543, 3542, 3474, 3475, 3478, 3479, 3476, 3477, 3613, 3612, 3617, 3616, 3615, 3614, 3528, 3529, 3533, 3532, 3530, 3531, 3633, 3632, 3635, 3634, 3631, 3630, 2887, 2886, 2889, 2888, 2890, 2891, 2986, 2987, 2984, 2985, 2983, 2982, 2963, 2962, 2960, 2961, 2959, 2958, 2882, 2883, 2884, 2885, 2880, 2881, 2977, 2976, 2981, 2980, 2979, 2978, 2951, 2950, 2947, 2946, 2948, 2949, 3064, 3065, 3062, 3063, 3060, 3061, 2967, 2966, 2968, 2969, 2965, 2964, 2932, 2933, 2929, 2928, 2931, 2930, 2997, 2996, 2994, 2995, 2998, 2999, 3027, 3026, 3025, 3024, 3028, 3029, 2991, 2990, 2993, 2992, 2989, 2988, 2913, 2912, 2911, 2910, 2915, 2914, 2971, 2970, 2974, 2975, 2972, 2973, 2938, 2939, 2935, 2934, 2936, 2937, 3068, 3069, 3070, 3071, 3066, 3067, 3006, 3007, 3010, 3011, 3008, 3009, 3041, 3040, 3036, 3037, 3039, 3038, 3046, 3047, 3043, 3042, 3045, 3044, 3003, 3002, 3004, 3005, 3000, 3001, 3030, 3031, 3033, 3032, 3035, 3034, 2906, 2907, 2908, 2909, 2905, 2904, 3048, 3049, 3052, 3053, 3050, 3051, 3022, 3023, 3021, 3020, 3019, 3018, 2899, 2898, 2900, 2901, 2903, 2902, 3015, 3014, 3012, 3013, 3017, 3016, 2892, 2893, 2895, 2894, 2896, 2897, 2919, 2918, 2917, 2916, 2920, 2921, 2956, 2957, 2954, 2955, 2952, 2953, 3055, 3054, 3056, 3057, 3059, 3058, 2924, 2925, 2923, 2922, 2926, 2927, 2942, 2943, 2944, 2945, 2941, 2940, 3456, 3457, 3458, 3459, 3461, 3460, 3506, 3507, 3508, 3509, 3505, 3504, 3548, 3549, 3546, 3547, 3551, 3550, 3479, 3478, 3475, 3474, 3477, 3476, 3622, 3623, 3618, 3619, 3621, 3620, 3472, 3473, 3468, 3469, 3470, 3471, 3564, 3565, 3566, 3567, 3568, 3569, 3626, 3627, 3628, 3629, 3624, 3625, 3539, 3538, 3537, 3536, 3534, 3535, 3634, 3635, 3630, 3631, 3632, 3633, 3525, 3524, 3522, 3523, 3527, 3526, 3609, 3608, 3611, 3610, 3606, 3607, 3605, 3604, 3603, 3602, 3600, 3601, 3502, 3503, 3501, 3500, 3499, 3498, 3512, 3513, 3515, 3514, 3510, 3511, 3482, 3483] +private def clayworthVertexOf_data_c19 : Array (Fin 4032) := #[3481, 3480, 3485, 3484, 3494, 3495, 3493, 3492, 3497, 3496, 3541, 3540, 3542, 3543, 3545, 3544, 3587, 3586, 3585, 3584, 3583, 3582, 3490, 3491, 3487, 3486, 3488, 3489, 3556, 3557, 3552, 3553, 3555, 3554, 3576, 3577, 3580, 3581, 3578, 3579, 3614, 3615, 3613, 3612, 3616, 3617, 3558, 3559, 3563, 3562, 3560, 3561, 3595, 3594, 3598, 3599, 3597, 3596, 3591, 3590, 3592, 3593, 3588, 3589, 3466, 3467, 3462, 3463, 3465, 3464, 3520, 3521, 3517, 3516, 3519, 3518, 3640, 3641, 3638, 3639, 3636, 3637, 3529, 3528, 3530, 3531, 3532, 3533, 3572, 3573, 3574, 3575, 3570, 3571, 3647, 3646, 3644, 3645, 3642, 3643, 1118, 1119, 1116, 1117, 1120, 1121, 1135, 1134, 1138, 1139, 1136, 1137, 973, 972, 974, 975, 977, 976, 1102, 1103, 1101, 1100, 1099, 1098, 1061, 1060, 1059, 1058, 1056, 1057, 1091, 1090, 1086, 1087, 1088, 1089, 962, 963, 960, 961, 965, 964, 1042, 1043, 1041, 1040, 1038, 1039, 1063, 1062, 1065, 1064, 1067, 1066, 1028, 1029, 1030, 1031, 1026, 1027, 1047, 1046, 1045, 1044, 1049, 1048, 1071, 1070, 1069, 1068, 1073, 1072, 1095, 1094, 1093, 1092, 1097, 1096, 987, 986, 985, 984, 989, 988, 1051, 1050, 1052, 1053, 1055, 1054, 1084, 1085, 1083, 1082, 1080, 1081, 1123, 1122, 1127, 1126, 1125, 1124, 983, 982, 979, 978, 981, 980, 1077, 1076, 1078, 1079, 1074, 1075, 992, 993, 994, 995, 991, 990, 1112, 1113, 1111, 1110, 1115, 1114, 1140, 1141, 1145, 1144, 1143, 1142, 1014, 1015, 1019, 1018, 1017, 1016, 1105, 1104, 1108, 1109, 1107, 1106, 1037, 1036, 1033, 1032, 1035, 1034, 966, 967, 968, 969, 970, 971, 996, 997, 998, 999, 1000, 1001, 1131, 1130, 1133, 1132, 1129, 1128, 1021, 1020, 1024, 1025, 1023, 1022, 1150, 1151, 1149, 1148, 1146, 1147, 1005, 1004, 1003, 1002, 1006, 1007, 1008, 1009, 1013, 1012, 1011, 1010, 400, 401, 398, 399, 396, 397, 414, 415, 416, 417, 419, 418, 467, 466, 462, 463, 465, 464, 526, 527, 524, 525, 522, 523, 410, 411, 413, 412, 408, 409, 482, 483, 485, 484, 480, 481, 452, 453, 450, 451, 454, 455, 538, 539, 535, 534, 537, 536, 503, 502, 499, 498, 501, 500, 384, 385, 386, 387, 389, 388, 567, 566, 564, 565, 568, 569, 461, 460, 459, 458, 456, 457, 431, 430, 429, 428, 427, 426, 570, 571, 575, 574, 572, 573, 546, 547, 550, 551, 549, 548, 437, 436, 434, 435, 433, 432, 513, 512, 511, 510, 515, 514, 491, 490, 487, 486, 488, 489, 390, 391, 393, 392, 395, 394, 446, 447, 448, 449, 444, 445, 443, 442, 438, 439, 441, 440, 422, 423, 425, 424, 420, 421, 493, 492, 495, 494, 496, 497, 479, 478, 476, 477, 474, 475, 468, 469, 470, 471, 473, 472, 530, 531, 532, 533, 528, 529, 521, 520, 516, 517, 518, 519, 504, 505, 509, 508, 507, 506, 540, 541, 544, 545, 542, 543, 405, 404, 403, 402, 406, 407, 556, 557, 553, 552, 554, 555, 563, 562, 559, 558, 561, 560, 3294, 3295, 3298, 3299, 3297, 3296, 3427, 3426, 3429, 3428, 3430, 3431, 3278, 3279, 3277, 3276] +private def clayworthVertexOf_data_c20 : Array (Fin 4032) := #[3280, 3281, 3273, 3272, 3274, 3275, 3270, 3271, 3391, 3390, 3395, 3394, 3392, 3393, 3354, 3355, 3359, 3358, 3356, 3357, 3381, 3380, 3378, 3379, 3383, 3382, 3363, 3362, 3365, 3364, 3361, 3360, 3264, 3265, 3267, 3266, 3268, 3269, 3319, 3318, 3320, 3321, 3322, 3323, 3329, 3328, 3326, 3327, 3325, 3324, 3353, 3352, 3348, 3349, 3350, 3351, 3443, 3442, 3438, 3439, 3441, 3440, 3336, 3337, 3340, 3341, 3338, 3339, 3454, 3455, 3451, 3450, 3453, 3452, 3306, 3307, 3311, 3310, 3309, 3308, 3370, 3371, 3366, 3367, 3369, 3368, 3385, 3384, 3387, 3386, 3388, 3389, 3408, 3409, 3413, 3412, 3411, 3410, 3402, 3403, 3406, 3407, 3404, 3405, 3316, 3317, 3312, 3313, 3314, 3315, 3424, 3425, 3420, 3421, 3422, 3423, 3283, 3282, 3287, 3286, 3284, 3285, 3437, 3436, 3432, 3433, 3434, 3435, 3344, 3345, 3342, 3343, 3346, 3347, 3375, 3374, 3376, 3377, 3372, 3373, 3416, 3417, 3418, 3419, 3415, 3414, 3331, 3330, 3333, 3332, 3335, 3334, 3401, 3400, 3396, 3397, 3399, 3398, 3291, 3290, 3293, 3292, 3289, 3288, 3448, 3449, 3446, 3447, 3445, 3444, 3303, 3302, 3305, 3304, 3301, 3300, 3870, 3871, 3872, 3873, 3875, 3874, 3996, 3997, 4000, 4001, 3998, 3999, 3844, 3845, 3841, 3840, 3843, 3842, 3970, 3971, 3968, 3969, 3967, 3966, 3916, 3917, 3915, 3914, 3913, 3912, 3951, 3950, 3952, 3953, 3949, 3948, 3930, 3931, 3933, 3932, 3935, 3934, 3892, 3893, 3888, 3889, 3890, 3891, 3929, 3928, 3924, 3925, 3927, 3926, 4016, 4017, 4018, 4019, 4014, 4015, 4027, 4026, 4028, 4029, 4031, 4030, 3877, 3876, 3881, 3880, 3878, 3879, 3960, 3961, 3962, 3963, 3964, 3965, 3984, 3985, 3987, 3986, 3988, 3989, 3978, 3979, 3982, 3983, 3981, 3980, 3939, 3938, 3941, 3940, 3936, 3937, 3853, 3852, 3855, 3854, 3857, 3856, 3886, 3887, 3885, 3884, 3883, 3882, 3973, 3972, 3977, 3976, 3974, 3975, 3959, 3958, 3957, 3956, 3954, 3955, 4013, 4012, 4009, 4008, 4011, 4010, 3920, 3921, 3918, 3919, 3922, 3923, 3946, 3947, 3943, 3942, 3945, 3944, 3868, 3869, 3867, 3866, 3864, 3865, 3991, 3990, 3992, 3993, 3995, 3994, 4020, 4021, 4025, 4024, 4022, 4023, 3894, 3895, 3897, 3896, 3899, 3898, 3908, 3909, 3906, 3907, 3910, 3911, 3847, 3846, 3851, 3850, 3848, 3849, 3860, 3861, 3858, 3859, 3862, 3863, 4002, 4003, 4004, 4005, 4006, 4007, 3903, 3902, 3901, 3900, 3904, 3905, 586, 587, 583, 582, 585, 584, 600, 601, 603, 602, 604, 605, 671, 670, 666, 667, 669, 668, 738, 739, 741, 740, 743, 742, 724, 725, 721, 720, 722, 723, 597, 596, 595, 594, 599, 598, 700, 701, 699, 698, 696, 697, 745, 744, 747, 746, 749, 748, 577, 576, 579, 578, 580, 581, 766, 767, 762, 763, 765, 764, 628, 629, 625, 624, 626, 627, 734, 735, 737, 736, 733, 732, 728, 729, 730, 731, 726, 727, 708, 709, 711, 710, 713, 712, 632, 633, 631, 630, 634, 635, 686, 687, 684, 685, 688, 689, 616, 617, 612, 613, 614, 615, 664, 665, 660, 661, 662, 663, 639, 638, 640, 641, 637, 636, 683, 682, 679, 678, 681, 680, 609, 608, 606, 607, 610, 611, 643, 642, 645, 644, 646, 647] +private def clayworthVertexOf_data_c21 : Array (Fin 4032) := #[673, 672, 675, 674, 677, 676, 717, 716, 715, 714, 719, 718, 655, 654, 659, 658, 656, 657, 651, 650, 648, 649, 652, 653, 691, 690, 694, 695, 692, 693, 590, 591, 589, 588, 593, 592, 750, 751, 753, 752, 754, 755, 705, 704, 703, 702, 707, 706, 761, 760, 758, 759, 756, 757, 623, 622, 618, 619, 620, 621, 2011, 2010, 2013, 2012, 2015, 2014, 2081, 2080, 2079, 2078, 2077, 2076, 1940, 1941, 1939, 1938, 1943, 1942, 2021, 2020, 2017, 2016, 2018, 2019, 2025, 2024, 2022, 2023, 2026, 2027, 1921, 1920, 1924, 1925, 1923, 1922, 2046, 2047, 2050, 2051, 2049, 2048, 1931, 1930, 1929, 1928, 1927, 1926, 2088, 2089, 2090, 2091, 2092, 2093, 2107, 2106, 2110, 2111, 2109, 2108, 1990, 1991, 1989, 1988, 1986, 1987, 2000, 2001, 1999, 1998, 2003, 2002, 1967, 1966, 1962, 1963, 1964, 1965, 2036, 2037, 2038, 2039, 2034, 2035, 2058, 2059, 2060, 2061, 2063, 2062, 2030, 2031, 2032, 2033, 2028, 2029, 1952, 1953, 1950, 1951, 1954, 1955, 1972, 1973, 1968, 1969, 1970, 1971, 2067, 2066, 2069, 2068, 2064, 2065, 2055, 2054, 2056, 2057, 2052, 2053, 1944, 1945, 1948, 1949, 1946, 1947, 2087, 2086, 2082, 2083, 2085, 2084, 2007, 2006, 2004, 2005, 2009, 2008, 2044, 2045, 2043, 2042, 2041, 2040, 2095, 2094, 2098, 2099, 2096, 2097, 1980, 1981, 1983, 1982, 1985, 1984, 1932, 1933, 1936, 1937, 1934, 1935, 1993, 1992, 1995, 1994, 1997, 1996, 1958, 1959, 1956, 1957, 1960, 1961, 2073, 2072, 2075, 2074, 2070, 2071, 2100, 2101, 2104, 2105, 2102, 2103, 1977, 1976, 1979, 1978, 1974, 1975, 1585, 1584, 1587, 1586, 1588, 1589, 1614, 1615, 1616, 1617, 1618, 1619, 1539, 1538, 1540, 1541, 1536, 1537, 1693, 1692, 1697, 1696, 1694, 1695, 1556, 1557, 1558, 1559, 1555, 1554, 1630, 1631, 1626, 1627, 1629, 1628, 1543, 1542, 1544, 1545, 1547, 1546, 1612, 1613, 1611, 1610, 1609, 1608, 1656, 1657, 1660, 1661, 1658, 1659, 1635, 1634, 1637, 1636, 1633, 1632, 1624, 1625, 1620, 1621, 1622, 1623, 1604, 1605, 1606, 1607, 1602, 1603, 1716, 1717, 1718, 1719, 1720, 1721, 1595, 1594, 1593, 1592, 1590, 1591, 1646, 1647, 1645, 1644, 1649, 1648, 1551, 1550, 1552, 1553, 1548, 1549, 1688, 1689, 1690, 1691, 1686, 1687, 1641, 1640, 1643, 1642, 1638, 1639, 1598, 1599, 1600, 1601, 1596, 1597, 1722, 1723, 1727, 1726, 1724, 1725, 1670, 1671, 1672, 1673, 1668, 1669, 1666, 1667, 1664, 1665, 1663, 1662, 1698, 1699, 1701, 1700, 1703, 1702, 1564, 1565, 1562, 1563, 1560, 1561, 1655, 1654, 1650, 1651, 1652, 1653, 1576, 1577, 1575, 1574, 1573, 1572, 1569, 1568, 1570, 1571, 1566, 1567, 1708, 1709, 1704, 1705, 1707, 1706, 1682, 1683, 1680, 1681, 1684, 1685, 1678, 1679, 1674, 1675, 1676, 1677, 1582, 1583, 1580, 1581, 1578, 1579, 1711, 1710, 1714, 1715, 1713, 1712, 3853, 3852, 3855, 3854, 3856, 3857, 3874, 3875, 3871, 3870, 3873, 3872, 3908, 3909, 3910, 3911, 3906, 3907, 3847, 3846, 3849, 3848, 3851, 3850, 3995, 3994, 3990, 3991, 3993, 3992, 3943, 3942, 3947, 3946, 3944, 3945, 3976, 3977, 3972, 3973, 3975, 3974, 4014, 4015, 4016, 4017, 4019, 4018, 3965, 3964, 3963, 3962, 3960, 3961, 4013, 4012] +private def clayworthVertexOf_data_c22 : Array (Fin 4032) := #[4010, 4011, 4008, 4009, 3860, 3861, 3863, 3862, 3859, 3858, 3879, 3878, 3880, 3881, 3877, 3876, 3978, 3979, 3980, 3981, 3982, 3983, 3892, 3893, 3888, 3889, 3891, 3890, 4001, 4000, 3998, 3999, 3997, 3996, 3869, 3868, 3866, 3867, 3865, 3864, 3894, 3895, 3898, 3899, 3896, 3897, 3956, 3957, 3954, 3955, 3958, 3959, 3886, 3887, 3884, 3885, 3882, 3883, 3925, 3924, 3927, 3926, 3929, 3928, 3923, 3922, 3918, 3919, 3921, 3920, 3940, 3941, 3938, 3939, 3937, 3936, 3912, 3913, 3914, 3915, 3916, 3917, 4005, 4004, 4002, 4003, 4006, 4007, 3986, 3987, 3985, 3984, 3989, 3988, 3971, 3970, 3966, 3967, 3969, 3968, 4025, 4024, 4020, 4021, 4022, 4023, 3845, 3844, 3843, 3842, 3841, 3840, 3950, 3951, 3952, 3953, 3948, 3949, 4027, 4026, 4030, 4031, 4029, 4028, 3900, 3901, 3902, 3903, 3905, 3904, 3931, 3930, 3934, 3935, 3933, 3932, 3145, 3144, 3147, 3146, 3149, 3148, 3074, 3075, 3076, 3077, 3073, 3072, 3216, 3217, 3220, 3221, 3219, 3218, 3167, 3166, 3163, 3162, 3165, 3164, 3081, 3080, 3078, 3079, 3082, 3083, 3107, 3106, 3102, 3103, 3104, 3105, 3130, 3131, 3128, 3129, 3126, 3127, 3180, 3181, 3184, 3185, 3182, 3183, 3113, 3112, 3109, 3108, 3111, 3110, 3152, 3153, 3154, 3155, 3150, 3151, 3234, 3235, 3238, 3239, 3236, 3237, 3257, 3256, 3255, 3254, 3253, 3252, 3141, 3140, 3138, 3139, 3143, 3142, 3246, 3247, 3249, 3248, 3250, 3251, 3170, 3171, 3168, 3169, 3172, 3173, 3188, 3189, 3190, 3191, 3186, 3187, 3210, 3211, 3212, 3213, 3214, 3215, 3096, 3097, 3099, 3098, 3101, 3100, 3156, 3157, 3160, 3161, 3158, 3159, 3193, 3192, 3195, 3194, 3197, 3196, 3223, 3222, 3226, 3227, 3225, 3224, 3178, 3179, 3175, 3174, 3177, 3176, 3135, 3134, 3132, 3133, 3136, 3137, 3114, 3115, 3118, 3119, 3116, 3117, 3208, 3209, 3206, 3207, 3204, 3205, 3090, 3091, 3095, 3094, 3093, 3092, 3123, 3122, 3120, 3121, 3124, 3125, 3201, 3200, 3202, 3203, 3199, 3198, 3086, 3087, 3089, 3088, 3084, 3085, 3233, 3232, 3228, 3229, 3231, 3230, 3242, 3243, 3241, 3240, 3244, 3245, 3263, 3262, 3261, 3260, 3259, 3258, 3096, 3097, 3098, 3099, 3100, 3101, 3123, 3122, 3124, 3125, 3121, 3120, 3088, 3089, 3084, 3085, 3086, 3087, 3174, 3175, 3179, 3178, 3177, 3176, 3197, 3196, 3192, 3193, 3195, 3194, 3144, 3145, 3146, 3147, 3148, 3149, 3236, 3237, 3238, 3239, 3234, 3235, 3186, 3187, 3190, 3191, 3189, 3188, 3073, 3072, 3077, 3076, 3075, 3074, 3159, 3158, 3156, 3157, 3160, 3161, 3259, 3258, 3260, 3261, 3262, 3263, 3242, 3243, 3240, 3241, 3245, 3244, 3108, 3109, 3111, 3110, 3113, 3112, 3223, 3222, 3227, 3226, 3224, 3225, 3220, 3221, 3218, 3219, 3216, 3217, 3206, 3207, 3208, 3209, 3204, 3205, 3115, 3114, 3116, 3117, 3119, 3118, 3078, 3079, 3080, 3081, 3082, 3083, 3151, 3150, 3152, 3153, 3154, 3155, 3130, 3131, 3126, 3127, 3128, 3129, 3094, 3095, 3092, 3093, 3090, 3091, 3163, 3162, 3164, 3165, 3166, 3167, 3233, 3232, 3229, 3228, 3230, 3231, 3213, 3212, 3211, 3210, 3215, 3214, 3140, 3141, 3138, 3139, 3142, 3143, 3132, 3133, 3134, 3135, 3137, 3136, 3170, 3171, 3173, 3172, 3168, 3169, 3184, 3185, 3182, 3183, 3180, 3181, 3106, 3107, 3103, 3102] +private def clayworthVertexOf_data_c23 : Array (Fin 4032) := #[3104, 3105, 3198, 3199, 3200, 3201, 3203, 3202, 3246, 3247, 3251, 3250, 3249, 3248, 3256, 3257, 3255, 3254, 3252, 3253, 2705, 2704, 2700, 2701, 2702, 2703, 2724, 2725, 2727, 2726, 2729, 2728, 2740, 2741, 2739, 2738, 2737, 2736, 2768, 2769, 2766, 2767, 2770, 2771, 2797, 2796, 2801, 2800, 2799, 2798, 2844, 2845, 2847, 2846, 2849, 2848, 2714, 2715, 2712, 2713, 2716, 2717, 2824, 2825, 2822, 2823, 2820, 2821, 2784, 2785, 2787, 2786, 2789, 2788, 2853, 2852, 2850, 2851, 2855, 2854, 2689, 2688, 2691, 2690, 2693, 2692, 2764, 2765, 2760, 2761, 2762, 2763, 2793, 2792, 2794, 2795, 2790, 2791, 2878, 2879, 2874, 2875, 2876, 2877, 2747, 2746, 2744, 2745, 2742, 2743, 2834, 2835, 2832, 2833, 2836, 2837, 2861, 2860, 2857, 2856, 2859, 2858, 2841, 2840, 2842, 2843, 2839, 2838, 2826, 2827, 2829, 2828, 2830, 2831, 2755, 2754, 2757, 2756, 2759, 2758, 2694, 2695, 2697, 2696, 2698, 2699, 2753, 2752, 2748, 2749, 2750, 2751, 2783, 2782, 2778, 2779, 2781, 2780, 2812, 2813, 2808, 2809, 2811, 2810, 2731, 2730, 2734, 2735, 2733, 2732, 2776, 2777, 2773, 2772, 2775, 2774, 2722, 2723, 2721, 2720, 2718, 2719, 2815, 2814, 2817, 2816, 2819, 2818, 2708, 2709, 2710, 2711, 2707, 2706, 2862, 2863, 2867, 2866, 2865, 2864, 2802, 2803, 2806, 2807, 2804, 2805, 2873, 2872, 2870, 2871, 2868, 2869, 2162, 2163, 2160, 2161, 2164, 2165, 2114, 2115, 2117, 2116, 2112, 2113, 2279, 2278, 2276, 2277, 2274, 2275, 2131, 2130, 2133, 2132, 2135, 2134, 2214, 2215, 2218, 2219, 2217, 2216, 2241, 2240, 2243, 2242, 2238, 2239, 2230, 2231, 2228, 2229, 2226, 2227, 2179, 2178, 2181, 2180, 2183, 2182, 2222, 2223, 2221, 2220, 2225, 2224, 2186, 2187, 2189, 2188, 2185, 2184, 2286, 2287, 2290, 2291, 2288, 2289, 2205, 2204, 2207, 2206, 2203, 2202, 2169, 2168, 2170, 2171, 2166, 2167, 2120, 2121, 2123, 2122, 2119, 2118, 2246, 2247, 2245, 2244, 2248, 2249, 2266, 2267, 2262, 2263, 2264, 2265, 2235, 2234, 2236, 2237, 2232, 2233, 2150, 2151, 2149, 2148, 2153, 2152, 2211, 2210, 2209, 2208, 2212, 2213, 2175, 2174, 2177, 2176, 2173, 2172, 2292, 2293, 2295, 2294, 2296, 2297, 2250, 2251, 2255, 2254, 2252, 2253, 2140, 2141, 2137, 2136, 2139, 2138, 2158, 2159, 2156, 2157, 2154, 2155, 2269, 2268, 2272, 2273, 2270, 2271, 2145, 2144, 2147, 2146, 2142, 2143, 2190, 2191, 2195, 2194, 2192, 2193, 2260, 2261, 2256, 2257, 2258, 2259, 2127, 2126, 2125, 2124, 2128, 2129, 2199, 2198, 2201, 2200, 2197, 2196, 2281, 2280, 2284, 2285, 2283, 2282, 2302, 2303, 2300, 2301, 2299, 2298, 2737, 2736, 2741, 2740, 2739, 2738, 2784, 2785, 2786, 2787, 2788, 2789, 2692, 2693, 2690, 2691, 2688, 2689, 2840, 2841, 2838, 2839, 2843, 2842, 2844, 2845, 2848, 2849, 2847, 2846, 2706, 2707, 2708, 2709, 2711, 2710, 2819, 2818, 2816, 2817, 2815, 2814, 2796, 2797, 2801, 2800, 2798, 2799, 2813, 2812, 2809, 2808, 2811, 2810, 2696, 2697, 2694, 2695, 2698, 2699, 2775, 2774, 2777, 2776, 2773, 2772, 2704, 2705, 2702, 2703, 2701, 2700, 2806, 2807, 2804, 2805, 2803, 2802, 2872, 2873, 2870, 2871, 2868, 2869, 2761, 2760, 2762, 2763, 2765, 2764, 2866, 2867, 2863, 2862, 2864, 2865] +private def clayworthVertexOf_data_c24 : Array (Fin 4032) := #[2747, 2746, 2742, 2743, 2744, 2745, 2835, 2834, 2833, 2832, 2837, 2836, 2724, 2725, 2727, 2726, 2729, 2728, 2790, 2791, 2792, 2793, 2794, 2795, 2753, 2752, 2748, 2749, 2750, 2751, 2713, 2712, 2714, 2715, 2717, 2716, 2823, 2822, 2825, 2824, 2820, 2821, 2851, 2850, 2852, 2853, 2854, 2855, 2781, 2780, 2783, 2782, 2779, 2778, 2757, 2756, 2754, 2755, 2758, 2759, 2829, 2828, 2826, 2827, 2831, 2830, 2721, 2720, 2722, 2723, 2719, 2718, 2771, 2770, 2767, 2766, 2769, 2768, 2733, 2732, 2734, 2735, 2731, 2730, 2857, 2856, 2859, 2858, 2860, 2861, 2878, 2879, 2876, 2877, 2875, 2874] + +private def clayworthVertexOf_data : Array (Fin 4032) := + clayworthVertexOf_data_c0 ++ clayworthVertexOf_data_c1 ++ clayworthVertexOf_data_c2 ++ clayworthVertexOf_data_c3 ++ clayworthVertexOf_data_c4 ++ clayworthVertexOf_data_c5 ++ clayworthVertexOf_data_c6 ++ clayworthVertexOf_data_c7 ++ clayworthVertexOf_data_c8 ++ clayworthVertexOf_data_c9 ++ clayworthVertexOf_data_c10 ++ clayworthVertexOf_data_c11 ++ clayworthVertexOf_data_c12 ++ clayworthVertexOf_data_c13 ++ clayworthVertexOf_data_c14 ++ clayworthVertexOf_data_c15 ++ clayworthVertexOf_data_c16 ++ clayworthVertexOf_data_c17 ++ clayworthVertexOf_data_c18 ++ clayworthVertexOf_data_c19 ++ clayworthVertexOf_data_c20 ++ clayworthVertexOf_data_c21 ++ clayworthVertexOf_data_c22 ++ clayworthVertexOf_data_c23 ++ clayworthVertexOf_data_c24 + +private def clayworthEdgeOf_data_c0 : Array (Fin 6048) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 176, 177, 175, 174, 179, 178, 97, 96, 100, 101, 99, 98, 180, 181, 183, 182, 185, 184, 1, 0, 5, 4, 2, 3, 147, 146, 144, 145, 148, 149, 36, 37, 40, 41, 39, 38, 24, 25, 27, 26, 28, 29, 161, 160, 157, 156, 159, 158, 169, 168, 171, 170, 172, 173, 49, 48, 51, 50, 53, 52, 126, 127, 129, 128, 131, 130, 102, 103, 107, 106, 104, 105, 141, 140, 143, 142, 138, 139, 122, 123, 125, 124, 120, 121, 74, 75, 73, 72, 76, 77, 136, 137, 134, 135, 133, 132, 34, 35, 32, 33, 31, 30, 91, 90, 93, 92, 95, 94, 12, 13, 16, 17, 14, 15, 54, 55] +private def clayworthEdgeOf_data_c1 : Array (Fin 6048) := #[58, 59, 57, 56, 67, 66, 69, 68, 71, 70, 151, 150, 153, 152, 155, 154, 119, 118, 116, 117, 115, 114, 82, 83, 79, 78, 81, 80, 89, 88, 86, 87, 85, 84, 61, 60, 65, 64, 62, 63, 43, 42, 45, 44, 46, 47, 163, 162, 165, 164, 167, 166, 108, 109, 110, 111, 113, 112, 9, 8, 6, 7, 10, 11, 23, 22, 21, 20, 19, 18, 189, 188, 187, 186, 190, 191, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807] +private def clayworthEdgeOf_data_c2 : Array (Fin 6048) := #[808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 193, 192, 194, 195, 197, 196, 374, 375, 373, 372, 376, 377, 290, 291, 293, 292, 289, 288, 208, 209, 204, 205, 207, 206, 232, 233, 231, 230, 228, 229, 217, 216, 221, 220, 219, 218, 212, 213, 214, 215, 210, 211, 368, 369, 370, 371, 367, 366, 349, 348, 351, 350, 353, 352, 329, 328, 324, 325, 326, 327, 297, 296, 299, 298, 295, 294, 338, 339, 341, 340, 336, 337, 225, 224, 223, 222, 227, 226, 282, 283, 284, 285, 287, 286, 244, 245, 241, 240, 242, 243, 257, 256, 253, 252, 255, 254, 320, 321, 322, 323, 318, 319, 362, 363, 360, 361, 364, 365, 271, 270, 272, 273, 274, 275, 331, 330, 333, 332, 335, 334, 306, 307, 308, 309, 310, 311, 280, 281, 278, 279, 276, 277, 313, 312, 314, 315, 317, 316, 263, 262, 260, 261, 259, 258, 268, 269, 266, 267, 264, 265, 342, 343, 344, 345, 346, 347, 251, 250, 247, 246, 249, 248, 300, 301, 304, 305, 302, 303, 235, 234, 239, 238, 236, 237, 357, 356, 354, 355, 358, 359, 202, 203, 200, 201, 198, 199, 381, 380, 378, 379, 382, 383, 960, 961, 962, 963, 964, 965, 960, 961, 965, 964, 962, 963, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 968, 969, 970, 971, 966, 967, 984, 985, 986, 987, 988, 989, 978, 979, 983, 982, 981, 980, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1008, 1009, 1010, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 994, 995, 990, 991, 992, 993, 1006, 1007, 1002, 1003, 1004, 1005, 1029, 1030, 1031, 1032, 1033, 1034, 1021, 1022, 1019, 1020, 1017, 1018, 1035, 1036, 1037, 1038, 1039, 1040, 1027, 1028, 1025, 1026, 1023, 1024, 999, 998, 1001, 1000, 997, 996, 1041, 1041, 1042, 1043, 1042, 1043, 1035, 1036, 1039, 1040, 1037, 1038, 1015, 1016, 1014, 1013, 1011, 1012, 1044, 1044, 1045, 1046, 1045, 1046] +private def clayworthEdgeOf_data_c3 : Array (Fin 6048) := #[977, 976, 973, 972, 975, 974, 1030, 1029, 1034, 1033, 1032, 1031, 989, 988, 986, 987, 984, 985, 1047, 1048, 1049, 1050, 1051, 1052, 1048, 1047, 1049, 1050, 1051, 1052, 1053, 1054, 1053, 1054, 1055, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1441, 1440, 1445, 1444, 1443, 1442, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1458, 1459, 1461, 1460, 1462, 1463, 1476, 1477, 1478, 1479, 1480, 1481, 1465, 1464, 1466, 1467, 1469, 1468, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1472, 1473] +private def clayworthEdgeOf_data_c4 : Array (Fin 6048) := #[1471, 1470, 1474, 1475, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1514, 1515, 1512, 1513, 1516, 1517, 1505, 1504, 1502, 1503, 1501, 1500, 1490, 1491, 1489, 1488, 1492, 1493, 1486, 1487, 1483, 1482, 1484, 1485, 1498, 1499, 1495, 1494, 1497, 1496, 1524, 1525, 1526, 1527, 1528, 1529, 1507, 1506, 1511, 1510, 1508, 1509, 1530, 1531, 1532, 1533, 1534, 1535, 1526, 1527, 1528, 1529, 1525, 1524, 1531, 1530, 1533, 1532, 1535, 1534, 1520, 1521, 1519, 1518, 1522, 1523, 1480, 1481, 1478, 1479, 1477, 1476, 1451, 1450, 1449, 1448, 1446, 1447, 1452, 1453, 1457, 1456, 1455, 1454, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1072, 1073, 1069, 1068] +private def clayworthEdgeOf_data_c5 : Array (Fin 6048) := #[1070, 1071, 1057, 1056, 1058, 1059, 1060, 1061, 1233, 1232, 1230, 1231, 1234, 1235, 1240, 1241, 1236, 1237, 1239, 1238, 1062, 1063, 1066, 1067, 1064, 1065, 1078, 1079, 1076, 1077, 1074, 1075, 1108, 1109, 1104, 1105, 1107, 1106, 1202, 1203, 1205, 1204, 1200, 1201, 1087, 1086, 1090, 1091, 1088, 1089, 1123, 1122, 1126, 1127, 1124, 1125, 1161, 1160, 1159, 1158, 1163, 1162, 1093, 1092, 1095, 1094, 1097, 1096, 1224, 1225, 1226, 1227, 1228, 1229, 1193, 1192, 1188, 1189, 1190, 1191, 1134, 1135, 1138, 1139, 1136, 1137, 1103, 1102, 1100, 1101, 1099, 1098, 1164, 1165, 1166, 1167, 1168, 1169, 1206, 1207, 1208, 1209, 1210, 1211, 1156, 1157, 1152, 1153, 1154, 1155, 1171, 1170, 1174, 1175, 1172, 1173, 1183, 1182, 1185, 1184, 1186, 1187, 1145, 1144, 1143, 1142, 1141, 1140, 1150, 1151, 1149, 1148, 1147, 1146, 1220, 1221, 1222, 1223, 1218, 1219, 1194, 1195, 1199, 1198, 1197, 1196, 1084, 1085, 1082, 1083, 1081, 1080, 1114, 1115, 1112, 1113, 1110, 1111, 1131, 1130, 1132, 1133, 1129, 1128, 1213, 1212, 1214, 1215, 1216, 1217, 1178, 1179, 1176, 1177, 1181, 1180, 1121, 1120, 1118, 1119, 1117, 1116, 1244, 1245, 1243, 1242, 1247, 1246, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231] +private def clayworthEdgeOf_data_c6 : Array (Fin 6048) := #[2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 1536, 1537, 1538, 1539, 1541, 1540, 1718, 1719, 1716, 1717, 1720, 1721, 1553, 1552, 1550, 1551, 1549, 1548, 1576, 1577, 1573, 1572, 1574, 1575, 1683, 1682, 1684, 1685, 1681, 1680, 1568, 1569, 1571, 1570, 1567, 1566, 1585, 1584, 1586, 1587, 1588, 1589, 1557, 1556, 1559, 1558, 1555, 1554, 1710, 1711, 1714, 1715, 1712, 1713, 1700, 1701, 1698, 1699, 1702, 1703, 1601, 1600, 1597, 1596, 1599, 1598, 1656, 1657, 1659, 1658, 1661, 1660, 1673, 1672, 1670, 1671, 1669, 1668, 1648, 1649, 1645, 1644, 1646, 1647, 1667, 1666, 1665, 1664, 1663, 1662, 1642, 1643, 1640, 1641, 1638, 1639, 1608, 1609, 1612, 1613, 1610, 1611, 1625, 1624, 1620, 1621, 1623, 1622, 1686, 1687, 1691, 1690, 1688, 1689, 1634, 1635, 1632, 1633, 1637, 1636, 1707, 1706, 1704, 1705, 1709, 1708, 1618, 1619, 1614, 1615, 1616, 1617, 1651, 1650, 1653, 1652, 1655, 1654, 1603, 1602, 1604, 1605, 1607, 1606, 1628, 1629, 1630, 1631, 1626, 1627, 1695, 1694, 1696, 1697, 1693, 1692, 1677, 1676, 1675, 1674, 1678, 1679, 1564, 1565, 1563, 1562, 1560, 1561, 1578, 1579, 1582, 1583, 1580, 1581, 1595, 1594, 1592, 1593, 1590, 1591, 1542, 1543, 1547, 1546, 1544, 1545, 1724, 1725, 1723, 1722, 1726, 1727, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2497, 2496, 2499, 2498, 2501, 2500, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533] +private def clayworthEdgeOf_data_c7 : Array (Fin 6048) := #[2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2523, 2522, 2521, 2520, 2525, 2524, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2527, 2526, 2528, 2529, 2530, 2531, 2568, 2569, 2570, 2571, 2572, 2573, 2512, 2513, 2509, 2508, 2510, 2511, 2550, 2551, 2555, 2554, 2553, 2552, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2569, 2568, 2573, 2572, 2571, 2570, 2558, 2559, 2556, 2557, 2561, 2560, 2589, 2588, 2587, 2586, 2591, 2590, 2562, 2563, 2567, 2566, 2565, 2564, 2516, 2517, 2515, 2514, 2518, 2519, 2575, 2574, 2577, 2576, 2579, 2578, 2533, 2532, 2536, 2537, 2534, 2535, 2544, 2545, 2546, 2547, 2548, 2549, 2580, 2581, 2583, 2582, 2585, 2584, 2543, 2542, 2539, 2538, 2541, 2540, 2504, 2505, 2502, 2503, 2507, 2506, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943] +private def clayworthEdgeOf_data_c8 : Array (Fin 6048) := #[2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443] +private def clayworthEdgeOf_data_c9 : Array (Fin 6048) := #[3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3552, 3553, 3554, 3555, 3557, 3556, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3566, 3564, 3565, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3567, 3568, 3569, 3570, 3571, 3572, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3577, 3578, 3575, 3576, 3573, 3574, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3621, 3622, 3623, 3622, 3623, 3602, 3601, 3598, 3597, 3600, 3599, 3624, 3625, 3626, 3627, 3628, 3629, 3613, 3614, 3610, 3609, 3612, 3611, 3620, 3619, 3618, 3617, 3616, 3615, 3630, 3630, 3631, 3632, 3632, 3631, 3633, 3634, 3635, 3636, 3637, 3638, 3608, 3607, 3604, 3603, 3605, 3606, 3624, 3625, 3628, 3629, 3626, 3627, 3579, 3580, 3583, 3584, 3582, 3581, 3639, 3640, 3641, 3642, 3643, 3644, 3637, 3638, 3635, 3636, 3634, 3633, 3593, 3594, 3595, 3596, 3591, 3592, 3639, 3640, 3641, 3642, 3643, 3644, 3585, 3586, 3589, 3590, 3588, 3587, 3561, 3560, 3563, 3562, 3559, 3558, 3645, 3646, 3647, 3647, 3645, 3646, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847] +private def clayworthEdgeOf_data_c10 : Array (Fin 6048) := #[3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055, 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100, 4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109, 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118, 4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127, 4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136, 4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145, 4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154, 4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163, 4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172, 4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181, 4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190, 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199, 4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208, 4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217, 4218, 4219, 4220, 4221, 4222, 4223, 1729, 1728, 1730, 1731, 1732, 1733, 1814, 1815, 1817, 1816, 1813, 1812, 1919, 1918, 1915, 1914, 1916, 1917, 1735, 1734, 1739, 1738, 1737, 1736, 1765, 1764, 1767, 1766, 1769, 1768, 1887, 1886, 1884, 1885, 1888, 1889, 1758, 1759, 1762, 1763, 1761, 1760, 1751, 1750, 1749, 1748, 1746, 1747, 1911, 1910, 1913, 1912, 1908, 1909, 1790, 1791, 1788, 1789, 1793, 1792, 1860, 1861, 1863, 1862, 1865, 1864, 1882, 1883, 1878, 1879, 1880, 1881, 1821, 1820, 1823, 1822, 1819, 1818, 1796, 1797, 1794, 1795, 1798, 1799, 1866, 1867, 1871, 1870, 1868, 1869, 1876, 1877, 1874, 1875, 1872, 1873, 1836, 1837, 1841, 1840, 1838, 1839, 1859, 1858, 1857, 1856, 1855, 1854, 1806, 1807, 1808, 1809, 1811, 1810, 1890, 1891, 1893, 1892, 1895, 1894, 1850, 1851, 1848, 1849] +private def clayworthEdgeOf_data_c11 : Array (Fin 6048) := #[1852, 1853, 1904, 1905, 1902, 1903, 1907, 1906, 1804, 1805, 1801, 1800, 1802, 1803, 1842, 1843, 1846, 1847, 1845, 1844, 1756, 1757, 1752, 1753, 1754, 1755, 1824, 1825, 1827, 1826, 1828, 1829, 1771, 1770, 1774, 1775, 1772, 1773, 1899, 1898, 1897, 1896, 1900, 1901, 1782, 1783, 1784, 1785, 1786, 1787, 1831, 1830, 1833, 1832, 1835, 1834, 1780, 1781, 1779, 1778, 1777, 1776, 1743, 1742, 1741, 1740, 1745, 1744, 4224, 4225, 4226, 4227, 4228, 4229, 4230, 4231, 4232, 4233, 4234, 4235, 4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244, 4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256, 4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265, 4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292, 4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301, 4302, 4303, 4304, 4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316, 4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325, 4326, 4327, 4328, 4329, 4330, 4331, 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343, 4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352, 4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379, 4380, 4381, 4382, 4383, 4384, 4385, 4386, 4387, 4388, 4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397, 4398, 4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406, 4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415, 4416, 4417, 4418, 4419, 4420, 4421, 4422, 4423, 4424, 4425, 4426, 4427, 4417, 4416, 4419, 4418, 4421, 4420, 4428, 4429, 4430, 4431, 4432, 4433, 4434, 4435, 4436, 4437, 4438, 4439, 4427, 4426, 4424, 4425, 4422, 4423, 4440, 4441, 4442, 4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451, 4442, 4443, 4444, 4445, 4440, 4441, 4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460, 4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469, 4470, 4471, 4472, 4473, 4474, 4475, 4476, 4477, 4478, 4479, 4480, 4481, 4482, 4483, 4484, 4485, 4486, 4487, 4428, 4429, 4432, 4433, 4430, 4431, 4474, 4475, 4470, 4471, 4473, 4472, 4488, 4489, 4490, 4491, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4499, 4488, 4489, 4490, 4491, 4493, 4492, 4495, 4494, 4496, 4497, 4498, 4499, 4465, 4464, 4467, 4466, 4469, 4468, 4480, 4481, 4478, 4479, 4476, 4477, 4487, 4486, 4484, 4485, 4482, 4483, 4500, 4501, 4502, 4503, 4504, 4505, 4450, 4451, 4448, 4449, 4447, 4446, 4456, 4457, 4454, 4455, 4452, 4453, 4506, 4507, 4508, 4509, 4510, 4511, 4505, 4504, 4500, 4501, 4503, 4502, 4460, 4461, 4462, 4463, 4458, 4459, 4508, 4509, 4507, 4506, 4510, 4511, 4438, 4439, 4436, 4437, 4434, 4435, 4512, 4513, 4514, 4515, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535, 4536, 4537, 4538, 4539, 4540, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548, 4549, 4550, 4551, 4552, 4553, 4554, 4555, 4556, 4557, 4558, 4559] +private def clayworthEdgeOf_data_c12 : Array (Fin 6048) := #[4560, 4561, 4562, 4563, 4564, 4565, 4566, 4566, 4567, 4568, 4567, 4568, 4569, 4570, 4571, 4572, 4573, 4574, 4534, 4535, 4531, 4530, 4532, 4533, 4555, 4554, 4558, 4559, 4557, 4556, 4561, 4560, 4563, 4562, 4565, 4564, 4575, 4576, 4577, 4578, 4579, 4580, 4581, 4582, 4583, 4584, 4585, 4586, 4570, 4569, 4573, 4574, 4572, 4571, 4587, 4588, 4589, 4590, 4591, 4592, 4577, 4578, 4575, 4576, 4580, 4579, 4593, 4593, 4594, 4595, 4595, 4594, 4587, 4588, 4589, 4590, 4592, 4591, 4548, 4549, 4552, 4553, 4550, 4551, 4596, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4602, 4603, 4604, 4604, 4529, 4528, 4526, 4527, 4525, 4524, 4537, 4536, 4540, 4541, 4539, 4538, 4599, 4598, 4597, 4596, 4601, 4600, 4583, 4584, 4581, 4582, 4585, 4586, 4543, 4542, 4547, 4546, 4545, 4544, 4516, 4517, 4515, 4514, 4513, 4512, 4523, 4522, 4518, 4519, 4520, 4521, 4605, 4606, 4607, 4607, 4605, 4606, 582, 583, 585, 584, 587, 586, 602, 603, 605, 604, 601, 600, 576, 577, 578, 579, 580, 581, 729, 728, 727, 726, 731, 730, 653, 652, 651, 650, 648, 649, 760, 761, 758, 759, 756, 757, 613, 612, 616, 617, 614, 615, 697, 696, 701, 700, 699, 698, 714, 715, 718, 719, 716, 717, 667, 666, 669, 668, 671, 670, 703, 702, 707, 706, 705, 704, 713, 712, 711, 710, 709, 708, 689, 688, 685, 684, 686, 687, 660, 661, 662, 663, 664, 665, 618, 619, 622, 623, 620, 621, 732, 733, 735, 734, 736, 737, 646, 647, 642, 643, 644, 645, 691, 690, 695, 694, 693, 692, 677, 676, 672, 673, 674, 675, 654, 655, 658, 659, 657, 656, 634, 635, 630, 631, 632, 633, 636, 637, 640, 641, 639, 638, 747, 746, 748, 749, 744, 745, 625, 624, 628, 629, 626, 627, 720, 721, 724, 725, 723, 722, 610, 611, 609, 608, 606, 607, 751, 750, 753, 752, 755, 754, 740, 741, 739, 738, 743, 742, 680, 681, 679, 678, 683, 682, 593, 592, 591, 590, 589, 588, 596, 597, 594, 595, 598, 599, 764, 765, 762, 763, 767, 766, 2796, 2797, 2798, 2799, 2801, 2800, 2785, 2784, 2786, 2787, 2788, 2789, 2969, 2968, 2966, 2967, 2964, 2965, 2794, 2795, 2792, 2793, 2791, 2790, 2816, 2817, 2814, 2815, 2818, 2819, 2938, 2939, 2936, 2937, 2934, 2935, 2959, 2958, 2962, 2963, 2960, 2961, 2822, 2823, 2820, 2821, 2824, 2825, 2845, 2844, 2846, 2847, 2849, 2848, 2916, 2917, 2918, 2919, 2920, 2921, 2886, 2887, 2890, 2891, 2889, 2888, 2909, 2908, 2905, 2904, 2906, 2907, 2892, 2893, 2894, 2895, 2897, 2896, 2859, 2858, 2857, 2856, 2861, 2860, 2927, 2926, 2925, 2924, 2923, 2922, 2874, 2875, 2876, 2877, 2879, 2878, 2880, 2881, 2885, 2884, 2883, 2882, 2806, 2807, 2804, 2805, 2802, 2803, 2952, 2953, 2954, 2955, 2956, 2957, 2869, 2868, 2871, 2870, 2873, 2872, 2911, 2910, 2915, 2914, 2912, 2913, 2854, 2855, 2851, 2850, 2852, 2853, 2867, 2866, 2865, 2864, 2863, 2862, 2950, 2951, 2949, 2948, 2946, 2947, 2898, 2899, 2903, 2902, 2900, 2901, 2827, 2826, 2830, 2831, 2829, 2828, 2931, 2930, 2929, 2928, 2933, 2932, 2842, 2843] +private def clayworthEdgeOf_data_c13 : Array (Fin 6048) := #[2841, 2840, 2838, 2839, 2942, 2943, 2941, 2940, 2944, 2945, 2837, 2836, 2834, 2835, 2832, 2833, 2811, 2810, 2809, 2808, 2813, 2812, 2973, 2972, 2971, 2970, 2975, 2974, 3377, 3376, 3375, 3374, 3373, 3372, 3361, 3360, 3363, 3362, 3365, 3364, 3542, 3543, 3540, 3541, 3544, 3545, 3441, 3440, 3443, 3442, 3439, 3438, 3367, 3366, 3371, 3370, 3369, 3368, 3380, 3381, 3378, 3379, 3382, 3383, 3507, 3506, 3508, 3509, 3504, 3505, 3423, 3422, 3425, 3424, 3421, 3420, 3518, 3519, 3520, 3521, 3516, 3517, 3539, 3538, 3537, 3536, 3535, 3534, 3387, 3386, 3388, 3389, 3385, 3384, 3524, 3525, 3522, 3523, 3527, 3526, 3483, 3482, 3485, 3484, 3481, 3480, 3444, 3445, 3446, 3447, 3449, 3448, 3500, 3501, 3502, 3503, 3498, 3499, 3486, 3487, 3488, 3489, 3491, 3490, 3496, 3497, 3494, 3495, 3493, 3492, 3460, 3461, 3459, 3458, 3457, 3456, 3433, 3432, 3435, 3434, 3437, 3436, 3510, 3511, 3515, 3514, 3512, 3513, 3471, 3470, 3473, 3472, 3468, 3469, 3530, 3531, 3529, 3528, 3532, 3533, 3414, 3415, 3418, 3419, 3416, 3417, 3451, 3450, 3454, 3455, 3452, 3453, 3428, 3429, 3430, 3431, 3427, 3426, 3404, 3405, 3407, 3406, 3403, 3402, 3475, 3474, 3477, 3476, 3479, 3478, 3463, 3462, 3464, 3465, 3466, 3467, 3390, 3391, 3392, 3393, 3395, 3394, 3410, 3411, 3412, 3413, 3408, 3409, 3397, 3396, 3400, 3401, 3398, 3399, 3550, 3551, 3547, 3546, 3549, 3548, 4608, 4609, 4610, 4611, 4612, 4613, 4614, 4615, 4616, 4617, 4618, 4619, 4620, 4621, 4622, 4623, 4624, 4625, 4626, 4627, 4628, 4629, 4630, 4631, 4632, 4633, 4634, 4635, 4636, 4637, 4638, 4639, 4640, 4641, 4642, 4643, 4644, 4645, 4646, 4647, 4648, 4649, 4650, 4651, 4652, 4653, 4654, 4655, 4656, 4657, 4658, 4659, 4660, 4661, 4662, 4663, 4664, 4665, 4666, 4667, 4668, 4669, 4670, 4671, 4672, 4673, 4674, 4675, 4676, 4677, 4678, 4679, 4680, 4681, 4682, 4683, 4684, 4685, 4686, 4687, 4688, 4689, 4690, 4691, 4692, 4693, 4694, 4695, 4696, 4697, 4698, 4699, 4700, 4701, 4702, 4703, 4704, 4705, 4706, 4707, 4708, 4709, 4710, 4711, 4712, 4713, 4714, 4715, 4716, 4717, 4718, 4719, 4720, 4721, 4722, 4723, 4724, 4725, 4726, 4727, 4728, 4729, 4730, 4731, 4732, 4733, 4734, 4735, 4736, 4737, 4738, 4739, 4740, 4741, 4742, 4743, 4744, 4745, 4746, 4747, 4748, 4749, 4750, 4751, 4752, 4753, 4754, 4755, 4756, 4757, 4758, 4759, 4760, 4761, 4762, 4763, 4764, 4765, 4766, 4767, 4768, 4769, 4770, 4771, 4772, 4773, 4774, 4775, 4776, 4777, 4778, 4779, 4780, 4781, 4782, 4783, 4784, 4785, 4786, 4787, 4788, 4789, 4790, 4791, 4792, 4793, 4794, 4795, 4796, 4797, 4798, 4799, 4800, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4808, 4809, 4810, 4811, 4812, 4813, 4814, 4815, 4816, 4817, 4818, 4819, 4820, 4821, 4822, 4823, 4824, 4825, 4826, 4827, 4828, 4829, 4830, 4831, 4832, 4833, 4834, 4835, 4836, 4837, 4838, 4839, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856, 4857, 4858, 4859, 4860, 4861, 4862, 4863, 4864, 4865, 4866, 4867, 4868, 4869, 4870, 4871, 4872, 4873, 4874, 4875, 4876, 4877, 4878, 4879, 4880, 4881, 4882, 4883, 4884, 4885, 4886, 4887] +private def clayworthEdgeOf_data_c14 : Array (Fin 6048) := #[4888, 4889, 4890, 4891, 4892, 4893, 4894, 4895, 4896, 4897, 4898, 4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4907, 4908, 4909, 4910, 4911, 4912, 4913, 4914, 4915, 4916, 4917, 4918, 4919, 4920, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928, 4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939, 4940, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4948, 4949, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957, 4958, 4959, 4960, 4961, 4962, 4963, 4964, 4965, 4966, 4967, 4968, 4969, 4970, 4971, 4972, 4973, 4974, 4975, 4976, 4977, 4978, 4979, 4980, 4981, 4982, 4983, 4984, 4985, 4986, 4987, 4988, 4989, 4990, 4991, 4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999, 5000, 5001, 5002, 5003, 5004, 5005, 5006, 5007, 5008, 5009, 5010, 5011, 5012, 5013, 5014, 5015, 5016, 5017, 5018, 5019, 5020, 5021, 5022, 5023, 5024, 5025, 5026, 5027, 5028, 5029, 5030, 5031, 5032, 5033, 5034, 5035, 5036, 5037, 5038, 5039, 5040, 5041, 5042, 5043, 5044, 5045, 5046, 5047, 5048, 5049, 5050, 5051, 5052, 5053, 5054, 5055, 5056, 5057, 5058, 5059, 5060, 5061, 5062, 5063, 5064, 5065, 5066, 5067, 5068, 5069, 5070, 5071, 5072, 5073, 5074, 5075, 5076, 5077, 5078, 5079, 5080, 5081, 5082, 5083, 5084, 5085, 5086, 5087, 5088, 5089, 5090, 5091, 5092, 5093, 5094, 5095, 5096, 5097, 5098, 5099, 5100, 5101, 5102, 5103, 5104, 5105, 5106, 5107, 5108, 5109, 5110, 5111, 5112, 5113, 5114, 5115, 5116, 5117, 5118, 5119, 5120, 5121, 5122, 5123, 5124, 5125, 5126, 5127, 5128, 5129, 5130, 5131, 5132, 5133, 5134, 5135, 5136, 5137, 5138, 5139, 5140, 5141, 5142, 5143, 5144, 5145, 5146, 5147, 5148, 5149, 5150, 5151, 5152, 5153, 5154, 5155, 5156, 5157, 5158, 5159, 5160, 5161, 5162, 5163, 5164, 5165, 5166, 5167, 5168, 5169, 5170, 5171, 5172, 5173, 5174, 5175, 5176, 5177, 5178, 5179, 5180, 5181, 5182, 5183, 4032, 4033, 4035, 4034, 4037, 4036, 4218, 4219, 4220, 4221, 4222, 4223, 4039, 4038, 4042, 4043, 4040, 4041, 4052, 4053, 4050, 4051, 4054, 4055, 4184, 4185, 4186, 4187, 4182, 4183, 4118, 4119, 4116, 4117, 4121, 4120, 4060, 4061, 4058, 4059, 4056, 4057, 4197, 4196, 4198, 4199, 4194, 4195, 4173, 4172, 4174, 4175, 4170, 4171, 4154, 4155, 4153, 4152, 4156, 4157, 4130, 4131, 4133, 4132, 4129, 4128, 4105, 4104, 4108, 4109, 4107, 4106, 4165, 4164, 4169, 4168, 4166, 4167, 4064, 4065, 4063, 4062, 4066, 4067, 4123, 4122, 4125, 4124, 4126, 4127, 4048, 4049, 4046, 4047, 4044, 4045, 4081, 4080, 4083, 4082, 4085, 4084, 4098, 4099, 4100, 4101, 4102, 4103, 4189, 4188, 4191, 4190, 4193, 4192, 4212, 4213, 4215, 4214, 4217, 4216, 4159, 4158, 4161, 4160, 4163, 4162, 4142, 4143, 4141, 4140, 4144, 4145, 4095, 4094, 4092, 4093, 4096, 4097, 4075, 4074, 4079, 4078, 4077, 4076, 4114, 4115, 4113, 4112, 4111, 4110, 4202, 4203, 4204, 4205, 4201, 4200, 4086, 4087, 4091, 4090, 4088, 4089, 4177, 4176, 4179, 4178, 4181, 4180, 4134, 4135, 4139, 4138, 4137, 4136, 4206, 4207, 4209, 4208, 4211, 4210, 4070, 4071, 4072, 4073, 4068, 4069, 4148, 4149, 4147, 4146, 4151, 4150, 5184, 5185, 5186, 5187, 5188, 5189, 5190, 5191, 5192, 5193, 5194, 5195] +private def clayworthEdgeOf_data_c15 : Array (Fin 6048) := #[5196, 5197, 5198, 5199, 5200, 5201, 5202, 5203, 5204, 5205, 5206, 5207, 5208, 5209, 5210, 5211, 5212, 5213, 5214, 5215, 5216, 5217, 5218, 5219, 5220, 5221, 5222, 5223, 5224, 5225, 5226, 5227, 5228, 5229, 5230, 5231, 5232, 5233, 5234, 5235, 5236, 5237, 5238, 5239, 5240, 5241, 5242, 5243, 5244, 5245, 5246, 5247, 5248, 5249, 5250, 5251, 5252, 5253, 5254, 5255, 5256, 5257, 5258, 5259, 5260, 5261, 5262, 5263, 5264, 5265, 5266, 5267, 5268, 5269, 5270, 5271, 5272, 5273, 5274, 5275, 5276, 5277, 5278, 5279, 5280, 5281, 5282, 5283, 5284, 5285, 5286, 5287, 5288, 5289, 5290, 5291, 5292, 5293, 5294, 5295, 5296, 5297, 5298, 5299, 5300, 5301, 5302, 5303, 5304, 5305, 5306, 5307, 5308, 5309, 5310, 5311, 5312, 5313, 5314, 5315, 5316, 5317, 5318, 5319, 5320, 5321, 5322, 5323, 5324, 5325, 5326, 5327, 5328, 5329, 5330, 5331, 5332, 5333, 5334, 5335, 5336, 5337, 5338, 5339, 5340, 5341, 5342, 5343, 5344, 5345, 5346, 5347, 5348, 5349, 5350, 5351, 5352, 5353, 5354, 5355, 5356, 5357, 5358, 5359, 5360, 5361, 5362, 5363, 5364, 5365, 5366, 5367, 5368, 5369, 5370, 5371, 5372, 5373, 5374, 5375, 4807, 4806, 4809, 4808, 4810, 4811, 4824, 4825, 4828, 4829, 4826, 4827, 4981, 4980, 4985, 4984, 4982, 4983, 4804, 4805, 4802, 4803, 4800, 4801, 4955, 4954, 4952, 4953, 4950, 4951, 4836, 4837, 4838, 4839, 4840, 4841, 4852, 4853, 4848, 4849, 4851, 4850, 4886, 4887, 4888, 4889, 4884, 4885, 4832, 4833, 4834, 4835, 4831, 4830, 4958, 4959, 4960, 4961, 4957, 4956, 4973, 4972, 4968, 4969, 4971, 4970, 4934, 4935, 4937, 4936, 4933, 4932, 4947, 4946, 4949, 4948, 4945, 4944, 4911, 4910, 4913, 4912, 4908, 4909, 4930, 4931, 4926, 4927, 4929, 4928, 4896, 4897, 4898, 4899, 4901, 4900, 4902, 4903, 4904, 4905, 4907, 4906, 4819, 4818, 4822, 4823, 4820, 4821, 4866, 4867, 4869, 4868, 4870, 4871, 4975, 4974, 4976, 4977, 4979, 4978, 4882, 4883, 4880, 4881, 4879, 4878, 4894, 4895, 4893, 4892, 4890, 4891, 4862, 4863, 4864, 4865, 4860, 4861, 4921, 4920, 4923, 4922, 4925, 4924, 4855, 4854, 4856, 4857, 4859, 4858, 4872, 4873, 4874, 4875, 4876, 4877, 4962, 4963, 4964, 4965, 4966, 4967, 4914, 4915, 4919, 4918, 4917, 4916, 4847, 4846, 4844, 4845, 4843, 4842, 4942, 4943, 4938, 4939, 4941, 4940, 4816, 4817, 4815, 4814, 4813, 4812, 4988, 4989, 4986, 4987, 4990, 4991, 4225, 4224, 4226, 4227, 4229, 4228, 4402, 4403, 4400, 4401, 4399, 4398, 4317, 4316, 4318, 4319, 4315, 4314, 4404, 4405, 4408, 4409, 4407, 4406, 4230, 4231, 4234, 4235, 4232, 4233, 4246, 4247, 4244, 4245, 4242, 4243, 4259, 4258, 4254, 4255, 4257, 4256, 4266, 4267, 4268, 4269, 4270, 4271, 4313, 4312, 4311, 4310, 4309, 4308, 4378, 4379, 4376, 4377, 4374, 4375, 4394, 4395, 4397, 4396, 4392, 4393, 4275, 4274, 4273, 4272, 4277, 4276, 4358, 4359, 4361, 4360, 4356, 4357, 4299, 4298, 4297, 4296, 4301, 4300, 4338, 4339, 4342, 4343, 4341, 4340, 4239, 4238, 4240, 4241, 4236, 4237, 4290, 4291, 4292, 4293, 4295, 4294, 4369, 4368, 4372, 4373, 4370, 4371, 4336, 4337, 4335, 4334, 4332, 4333, 4350, 4351, 4355, 4354, 4353, 4352, 4327, 4326, 4330, 4331, 4328, 4329, 4286, 4287] +private def clayworthEdgeOf_data_c16 : Array (Fin 6048) := #[4289, 4288, 4285, 4284, 4345, 4344, 4349, 4348, 4347, 4346, 4302, 4303, 4306, 4307, 4304, 4305, 4283, 4282, 4278, 4279, 4281, 4280, 4250, 4251, 4248, 4249, 4252, 4253, 4320, 4321, 4324, 4325, 4322, 4323, 4261, 4260, 4264, 4265, 4262, 4263, 4387, 4386, 4388, 4389, 4390, 4391, 4364, 4365, 4367, 4366, 4362, 4363, 4381, 4380, 4383, 4382, 4385, 4384, 4414, 4415, 4411, 4410, 4412, 4413, 3168, 3169, 3171, 3170, 3172, 3173, 3180, 3181, 3185, 3184, 3182, 3183, 3353, 3352, 3350, 3351, 3348, 3349, 3355, 3354, 3358, 3359, 3357, 3356, 3189, 3188, 3191, 3190, 3187, 3186, 3196, 3197, 3192, 3193, 3195, 3194, 3214, 3215, 3210, 3211, 3213, 3212, 3198, 3199, 3202, 3203, 3200, 3201, 3226, 3227, 3222, 3223, 3225, 3224, 3295, 3294, 3296, 3297, 3298, 3299, 3259, 3258, 3260, 3261, 3263, 3262, 3300, 3301, 3304, 3305, 3302, 3303, 3310, 3311, 3308, 3309, 3306, 3307, 3286, 3287, 3285, 3284, 3282, 3283, 3178, 3179, 3176, 3177, 3174, 3175, 3228, 3229, 3232, 3233, 3231, 3230, 3241, 3240, 3243, 3242, 3244, 3245, 3324, 3325, 3328, 3329, 3326, 3327, 3342, 3343, 3344, 3345, 3346, 3347, 3250, 3251, 3249, 3248, 3246, 3247, 3272, 3273, 3270, 3271, 3274, 3275, 3255, 3254, 3256, 3257, 3253, 3252, 3289, 3288, 3293, 3292, 3291, 3290, 3333, 3332, 3334, 3335, 3330, 3331, 3238, 3239, 3237, 3236, 3235, 3234, 3318, 3319, 3323, 3322, 3321, 3320, 3264, 3265, 3268, 3269, 3266, 3267, 3206, 3207, 3208, 3209, 3204, 3205, 3337, 3336, 3338, 3339, 3340, 3341, 3315, 3314, 3317, 3316, 3313, 3312, 3221, 3220, 3218, 3219, 3216, 3217, 3279, 3278, 3276, 3277, 3281, 3280, 5376, 5377, 5378, 5379, 5380, 5381, 5382, 5383, 5384, 5385, 5386, 5387, 5388, 5389, 5390, 5390, 5388, 5389, 5391, 5392, 5393, 5394, 5395, 5396, 5397, 5398, 5399, 5400, 5401, 5402, 5403, 5404, 5405, 5406, 5407, 5408, 5392, 5391, 5396, 5395, 5394, 5393, 5409, 5410, 5411, 5412, 5413, 5414, 5415, 5416, 5417, 5418, 5419, 5420, 5421, 5422, 5423, 5424, 5425, 5426, 5427, 5428, 5429, 5430, 5431, 5432, 5433, 5433, 5434, 5435, 5435, 5434, 5436, 5437, 5438, 5439, 5440, 5441, 5442, 5443, 5444, 5445, 5446, 5447, 5448, 5449, 5450, 5451, 5452, 5453, 5454, 5455, 5455, 5454, 5456, 5456, 5428, 5427, 5430, 5429, 5432, 5431, 5457, 5458, 5459, 5460, 5461, 5462, 5449, 5448, 5453, 5452, 5451, 5450, 5460, 5459, 5457, 5458, 5462, 5461, 5416, 5415, 5418, 5417, 5420, 5419, 5437, 5436, 5439, 5438, 5440, 5441, 5446, 5447, 5445, 5444, 5443, 5442, 5426, 5425, 5422, 5421, 5423, 5424, 5463, 5464, 5463, 5464, 5465, 5465, 5397, 5398, 5401, 5402, 5399, 5400, 5466, 5467, 5468, 5469, 5470, 5471, 5412, 5411, 5410, 5409, 5413, 5414, 5467, 5466, 5469, 5468, 5471, 5470, 5404, 5403, 5407, 5408, 5406, 5405, 5379, 5378, 5377, 5376, 5381, 5380, 5386, 5387, 5382, 5383, 5384, 5385, 5203, 5202, 5207, 5206, 5205, 5204, 5366, 5367, 5365, 5364, 5369, 5368, 5279, 5278, 5275, 5274, 5277, 5276, 5372, 5373, 5375, 5374, 5370, 5371, 5185, 5184, 5189, 5188, 5186, 5187, 5210, 5211, 5208, 5209, 5212, 5213, 5343, 5342, 5340, 5341, 5344, 5345, 5216, 5217, 5219, 5218, 5215, 5214, 5359, 5358, 5361, 5360] +private def clayworthEdgeOf_data_c17 : Array (Fin 6048) := #[5362, 5363, 5239, 5238, 5243, 5242, 5241, 5240, 5283, 5282, 5285, 5284, 5280, 5281, 5323, 5322, 5327, 5326, 5325, 5324, 5333, 5332, 5331, 5330, 5328, 5329, 5299, 5298, 5301, 5300, 5303, 5302, 5221, 5220, 5222, 5223, 5224, 5225, 5305, 5304, 5309, 5308, 5306, 5307, 5262, 5263, 5265, 5264, 5266, 5267, 5270, 5271, 5269, 5268, 5272, 5273, 5250, 5251, 5252, 5253, 5255, 5254, 5347, 5346, 5351, 5350, 5348, 5349, 5316, 5317, 5319, 5318, 5320, 5321, 5293, 5292, 5295, 5294, 5297, 5296, 5247, 5246, 5245, 5244, 5249, 5248, 5313, 5312, 5310, 5311, 5315, 5314, 5256, 5257, 5259, 5258, 5260, 5261, 5353, 5352, 5355, 5354, 5357, 5356, 5339, 5338, 5336, 5337, 5334, 5335, 5287, 5286, 5290, 5291, 5289, 5288, 5230, 5231, 5228, 5229, 5226, 5227, 5236, 5237, 5234, 5235, 5232, 5233, 5194, 5195, 5193, 5192, 5190, 5191, 5199, 5198, 5201, 5200, 5197, 5196, 2593, 2592, 2595, 2594, 2596, 2597, 2689, 2688, 2693, 2692, 2691, 2690, 2781, 2780, 2779, 2778, 2783, 2782, 2745, 2744, 2746, 2747, 2742, 2743, 2610, 2611, 2612, 2613, 2615, 2614, 2632, 2633, 2629, 2628, 2631, 2630, 2673, 2672, 2671, 2670, 2674, 2675, 2754, 2755, 2759, 2758, 2757, 2756, 2617, 2616, 2619, 2618, 2620, 2621, 2694, 2695, 2698, 2699, 2696, 2697, 2726, 2727, 2725, 2724, 2728, 2729, 2701, 2700, 2703, 2702, 2705, 2704, 2741, 2740, 2737, 2736, 2738, 2739, 2722, 2723, 2718, 2719, 2721, 2720, 2677, 2676, 2679, 2678, 2681, 2680, 2682, 2683, 2684, 2685, 2686, 2687, 2646, 2647, 2649, 2648, 2650, 2651, 2749, 2748, 2753, 2752, 2751, 2750, 2715, 2714, 2713, 2712, 2716, 2717, 2774, 2775, 2772, 2773, 2776, 2777, 2669, 2668, 2667, 2666, 2665, 2664, 2707, 2706, 2711, 2710, 2708, 2709, 2731, 2730, 2733, 2732, 2735, 2734, 2652, 2653, 2654, 2655, 2656, 2657, 2662, 2663, 2660, 2661, 2658, 2659, 2763, 2762, 2765, 2764, 2760, 2761, 2644, 2645, 2643, 2642, 2640, 2641, 2609, 2608, 2606, 2607, 2604, 2605, 2767, 2766, 2768, 2769, 2770, 2771, 2637, 2636, 2639, 2638, 2635, 2634, 2622, 2623, 2627, 2626, 2624, 2625, 2599, 2598, 2602, 2603, 2601, 2600, 3735, 3734, 3737, 3736, 3733, 3732, 3648, 3649, 3653, 3652, 3651, 3650, 3685, 3684, 3689, 3688, 3687, 3686, 3714, 3715, 3716, 3717, 3719, 3718, 3663, 3662, 3665, 3664, 3661, 3660, 3837, 3836, 3838, 3839, 3834, 3835, 3826, 3827, 3822, 3823, 3824, 3825, 3697, 3696, 3701, 3700, 3698, 3699, 3793, 3792, 3797, 3796, 3795, 3794, 3764, 3765, 3762, 3763, 3766, 3767, 3740, 3741, 3742, 3743, 3739, 3738, 3784, 3785, 3781, 3780, 3783, 3782, 3753, 3752, 3754, 3755, 3751, 3750, 3726, 3727, 3728, 3729, 3730, 3731, 3658, 3659, 3654, 3655, 3657, 3656, 3805, 3804, 3808, 3809, 3806, 3807, 3828, 3829, 3832, 3833, 3830, 3831, 3775, 3774, 3779, 3778, 3777, 3776, 3744, 3745, 3746, 3747, 3748, 3749, 3724, 3725, 3722, 3723, 3720, 3721, 3769, 3768, 3771, 3770, 3772, 3773, 3757, 3756, 3758, 3759, 3760, 3761, 3702, 3703, 3704, 3705, 3706, 3707, 3819, 3818, 3821, 3820, 3817, 3816, 3713, 3712, 3708, 3709, 3710, 3711, 3799, 3798, 3802, 3803, 3800, 3801, 3671, 3670, 3669, 3668, 3667, 3666, 3672, 3673, 3676, 3677, 3674, 3675] +private def clayworthEdgeOf_data_c18 : Array (Fin 6048) := #[3791, 3790, 3787, 3786, 3789, 3788, 3693, 3692, 3695, 3694, 3691, 3690, 3811, 3810, 3813, 3812, 3814, 3815, 3682, 3683, 3680, 3681, 3678, 3679, 3846, 3847, 3848, 3849, 3851, 3850, 3853, 3852, 3856, 3857, 3854, 3855, 4022, 4023, 4020, 4021, 4025, 4024, 3935, 3934, 3933, 3932, 3931, 3930, 4028, 4029, 4027, 4026, 4030, 4031, 3844, 3845, 3842, 3843, 3840, 3841, 3863, 3862, 3858, 3859, 3860, 3861, 3877, 3876, 3881, 3880, 3878, 3879, 3920, 3921, 3918, 3919, 3922, 3923, 3868, 3869, 3867, 3866, 3865, 3864, 4019, 4018, 4017, 4016, 4014, 4015, 3882, 3883, 3886, 3887, 3884, 3885, 4004, 4005, 4002, 4003, 4006, 4007, 3980, 3981, 3983, 3982, 3979, 3978, 3939, 3938, 3941, 3940, 3937, 3936, 3994, 3995, 3992, 3993, 3991, 3990, 3962, 3963, 3960, 3961, 3964, 3965, 3944, 3945, 3947, 3946, 3942, 3943, 3989, 3988, 3987, 3986, 3984, 3985, 3925, 3924, 3926, 3927, 3928, 3929, 3901, 3900, 3903, 3902, 3905, 3904, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3915, 3914, 3917, 3916, 3973, 3972, 3977, 3976, 3974, 3975, 3966, 3967, 3969, 3968, 3971, 3970, 3894, 3895, 3896, 3897, 3898, 3899, 3872, 3873, 3870, 3871, 3875, 3874, 3948, 3949, 3953, 3952, 3950, 3951, 4008, 4009, 4010, 4011, 4012, 4013, 3999, 3998, 3996, 3997, 4000, 4001, 3955, 3954, 3959, 3958, 3957, 3956, 3892, 3893, 3890, 3891, 3888, 3889, 5472, 5473, 5474, 5475, 5476, 5477, 5478, 5479, 5480, 5481, 5482, 5483, 5484, 5485, 5486, 5487, 5488, 5489, 5490, 5491, 5492, 5493, 5494, 5495, 5496, 5497, 5498, 5499, 5500, 5501, 5502, 5503, 5504, 5505, 5506, 5507, 5508, 5509, 5510, 5511, 5512, 5513, 5514, 5515, 5516, 5517, 5518, 5519, 5520, 5521, 5522, 5523, 5524, 5525, 5526, 5527, 5528, 5529, 5530, 5531, 5532, 5533, 5534, 5535, 5536, 5537, 5538, 5539, 5540, 5541, 5542, 5543, 5544, 5545, 5546, 5547, 5548, 5549, 5550, 5551, 5552, 5553, 5554, 5555, 5556, 5557, 5558, 5559, 5560, 5561, 5562, 5563, 5564, 5565, 5566, 5567, 5568, 5569, 5570, 5571, 5572, 5573, 5574, 5575, 5576, 5577, 5578, 5579, 5580, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5588, 5589, 5590, 5591, 5592, 5593, 5594, 5595, 5596, 5597, 5598, 5599, 5600, 5601, 5602, 5603, 5604, 5605, 5606, 5607, 5608, 5609, 5610, 5611, 5612, 5613, 5614, 5615, 5616, 5617, 5618, 5619, 5620, 5621, 5622, 5623, 5624, 5625, 5626, 5627, 5628, 5629, 5630, 5631, 5632, 5633, 5634, 5635, 5636, 5637, 5638, 5639, 5640, 5641, 5642, 5643, 5644, 5645, 5646, 5647, 5648, 5649, 5650, 5651, 5652, 5653, 5654, 5655, 5656, 5657, 5658, 5659, 5660, 5661, 5662, 5663, 2989, 2988, 2990, 2991, 2993, 2992, 2976, 2977, 2979, 2978, 2981, 2980, 3158, 3159, 3156, 3157, 3161, 3160, 3078, 3079, 3082, 3083, 3080, 3081, 2987, 2986, 2983, 2982, 2985, 2984, 3011, 3010, 3008, 3009, 3006, 3007, 3023, 3022, 3019, 3018, 3020, 3021, 3070, 3071, 3068, 3069, 3066, 3067, 3144, 3145, 3146, 3147, 3148, 3149, 3084, 3085, 3086, 3087, 3088, 3089, 3049, 3048, 3052, 3053, 3051, 3050, 3121, 3120, 3125, 3124, 3123, 3122, 3130, 3131, 3128, 3129, 3127, 3126, 3104, 3105, 3107, 3106, 3102, 3103, 2998, 2999, 2995, 2994, 2996, 2997, 3046, 3047] +private def clayworthEdgeOf_data_c19 : Array (Fin 6048) := #[3043, 3042, 3044, 3045, 3113, 3112, 3111, 3110, 3109, 3108, 3064, 3065, 3063, 3062, 3060, 3061, 3074, 3075, 3077, 3076, 3073, 3072, 3041, 3040, 3037, 3036, 3038, 3039, 3115, 3114, 3117, 3116, 3118, 3119, 3030, 3031, 3033, 3032, 3034, 3035, 3058, 3059, 3056, 3057, 3055, 3054, 3140, 3141, 3143, 3142, 3138, 3139, 3133, 3132, 3135, 3134, 3136, 3137, 3091, 3090, 3095, 3094, 3092, 3093, 3150, 3151, 3152, 3153, 3155, 3154, 3026, 3027, 3028, 3029, 3024, 3025, 3096, 3097, 3100, 3101, 3098, 3099, 3017, 3016, 3014, 3015, 3013, 3012, 3000, 3001, 3002, 3003, 3004, 3005, 3166, 3167, 3162, 3163, 3164, 3165, 5664, 5665, 5666, 5667, 5668, 5669, 5670, 5671, 5672, 5673, 5674, 5675, 5676, 5677, 5678, 5679, 5680, 5681, 5682, 5682, 5683, 5684, 5683, 5684, 5685, 5686, 5687, 5688, 5689, 5690, 5691, 5692, 5693, 5694, 5695, 5696, 5697, 5698, 5699, 5700, 5701, 5702, 5688, 5687, 5689, 5690, 5686, 5685, 5698, 5697, 5701, 5702, 5700, 5699, 5703, 5704, 5705, 5706, 5707, 5708, 5709, 5710, 5711, 5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719, 5720, 5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728, 5727, 5728, 5729, 5729, 5675, 5674, 5672, 5673, 5670, 5671, 5730, 5731, 5732, 5733, 5734, 5735, 5726, 5725, 5724, 5723, 5722, 5721, 5736, 5737, 5738, 5739, 5740, 5741, 5713, 5714, 5710, 5709, 5712, 5711, 5742, 5742, 5743, 5744, 5743, 5744, 5739, 5738, 5736, 5737, 5740, 5741, 5716, 5715, 5719, 5720, 5717, 5718, 5745, 5746, 5747, 5748, 5749, 5750, 5704, 5703, 5707, 5708, 5706, 5705, 5695, 5696, 5693, 5694, 5691, 5692, 5751, 5752, 5753, 5754, 5755, 5756, 5749, 5750, 5745, 5746, 5747, 5748, 5752, 5751, 5753, 5754, 5756, 5755, 5731, 5730, 5734, 5735, 5732, 5733, 5668, 5669, 5666, 5667, 5664, 5665, 5678, 5679, 5681, 5680, 5677, 5676, 5757, 5758, 5758, 5757, 5759, 5759, 1248, 1249, 1251, 1250, 1252, 1253, 1355, 1354, 1353, 1352, 1351, 1350, 1432, 1433, 1430, 1431, 1428, 1429, 1261, 1260, 1265, 1264, 1263, 1262, 1288, 1289, 1284, 1285, 1287, 1286, 1407, 1406, 1409, 1408, 1405, 1404, 1297, 1296, 1299, 1298, 1300, 1301, 1331, 1330, 1328, 1329, 1326, 1327, 1268, 1269, 1271, 1270, 1266, 1267, 1424, 1425, 1427, 1426, 1422, 1423, 1272, 1273, 1277, 1276, 1274, 1275, 1302, 1303, 1307, 1306, 1304, 1305, 1393, 1392, 1396, 1397, 1394, 1395, 1358, 1359, 1360, 1361, 1356, 1357, 1364, 1365, 1366, 1367, 1363, 1362, 1378, 1379, 1376, 1377, 1374, 1375, 1282, 1283, 1278, 1279, 1280, 1281, 1338, 1339, 1340, 1341, 1343, 1342, 1345, 1344, 1347, 1346, 1348, 1349, 1256, 1257, 1258, 1259, 1255, 1254, 1410, 1411, 1413, 1412, 1415, 1414, 1380, 1381, 1385, 1384, 1382, 1383, 1389, 1388, 1386, 1387, 1390, 1391, 1336, 1337, 1334, 1335, 1332, 1333, 1308, 1309, 1313, 1312, 1310, 1311, 1315, 1314, 1319, 1318, 1317, 1316, 1324, 1325, 1322, 1323, 1321, 1320, 1400, 1401, 1398, 1399, 1402, 1403, 1290, 1291, 1294, 1295, 1292, 1293, 1416, 1417, 1418, 1419, 1420, 1421, 1368, 1369, 1371, 1370, 1372, 1373, 1436, 1437, 1435, 1434, 1439, 1438, 4615, 4614, 4617, 4616, 4619, 4618, 4720, 4721, 4716, 4717, 4719, 4718, 4794, 4795, 4798, 4799] +private def clayworthEdgeOf_data_c20 : Array (Fin 6048) := #[4796, 4797, 4612, 4613, 4610, 4611, 4608, 4609, 4631, 4630, 4627, 4626, 4629, 4628, 4644, 4645, 4646, 4647, 4648, 4649, 4787, 4786, 4784, 4785, 4783, 4782, 4636, 4637, 4633, 4632, 4635, 4634, 4660, 4661, 4656, 4657, 4659, 4658, 4706, 4707, 4705, 4704, 4709, 4708, 4792, 4793, 4788, 4789, 4791, 4790, 4665, 4664, 4663, 4662, 4667, 4666, 4767, 4766, 4769, 4768, 4765, 4764, 4754, 4755, 4752, 4753, 4756, 4757, 4722, 4723, 4725, 4724, 4726, 4727, 4688, 4689, 4686, 4687, 4690, 4691, 4770, 4771, 4774, 4775, 4773, 4772, 4737, 4736, 4739, 4738, 4735, 4734, 4638, 4639, 4640, 4641, 4643, 4642, 4750, 4751, 4748, 4749, 4747, 4746, 4672, 4673, 4668, 4669, 4671, 4670, 4703, 4702, 4700, 4701, 4699, 4698, 4759, 4758, 4760, 4761, 4763, 4762, 4728, 4729, 4733, 4732, 4731, 4730, 4712, 4713, 4714, 4715, 4710, 4711, 4682, 4683, 4680, 4681, 4684, 4685, 4743, 4742, 4740, 4741, 4745, 4744, 4697, 4696, 4694, 4695, 4692, 4693, 4677, 4676, 4678, 4679, 4675, 4674, 4780, 4781, 4776, 4777, 4779, 4778, 4654, 4655, 4652, 4653, 4651, 4650, 4621, 4620, 4623, 4622, 4624, 4625, 1927, 1926, 1929, 1928, 1931, 1930, 2108, 2109, 2106, 2107, 2110, 2111, 1924, 1925, 1923, 1922, 1921, 1920, 1936, 1937, 1934, 1935, 1933, 1932, 1940, 1941, 1942, 1943, 1938, 1939, 2075, 2074, 2073, 2072, 2071, 2070, 1950, 1951, 1954, 1955, 1952, 1953, 2088, 2089, 2090, 2091, 2093, 2092, 1968, 1969, 1970, 1971, 1973, 1972, 2065, 2064, 2067, 2066, 2068, 2069, 2018, 2019, 2020, 2021, 2016, 2017, 1989, 1988, 1986, 1987, 1990, 1991, 2038, 2039, 2036, 2037, 2035, 2034, 1958, 1959, 1957, 1956, 1960, 1961, 2052, 2053, 2056, 2057, 2054, 2055, 2004, 2005, 2006, 2007, 2008, 2009, 2011, 2010, 2013, 2012, 2014, 2015, 1974, 1975, 1979, 1978, 1977, 1976, 2048, 2049, 2047, 2046, 2050, 2051, 2102, 2103, 2100, 2101, 2105, 2104, 2023, 2022, 2026, 2027, 2025, 2024, 2002, 2003, 2001, 2000, 1998, 1999, 1982, 1983, 1980, 1981, 1984, 1985, 2060, 2061, 2058, 2059, 2062, 2063, 2040, 2041, 2042, 2043, 2044, 2045, 1992, 1993, 1994, 1995, 1996, 1997, 2085, 2084, 2087, 2086, 2083, 2082, 1948, 1949, 1946, 1947, 1944, 1945, 2094, 2095, 2097, 2096, 2098, 2099, 1966, 1967, 1965, 1964, 1963, 1962, 2077, 2076, 2079, 2078, 2081, 2080, 2030, 2031, 2028, 2029, 2032, 2033, 5760, 5761, 5762, 5763, 5764, 5765, 5766, 5767, 5768, 5769, 5770, 5771, 5772, 5773, 5774, 5775, 5776, 5777, 5778, 5779, 5780, 5781, 5782, 5783, 5784, 5785, 5786, 5787, 5788, 5789, 5790, 5791, 5792, 5793, 5794, 5795, 5796, 5797, 5798, 5799, 5800, 5801, 5802, 5803, 5804, 5805, 5806, 5807, 5808, 5809, 5810, 5811, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828, 5829, 5830, 5831, 5832, 5833, 5834, 5835, 5836, 5837, 5838, 5839, 5840, 5841, 5842, 5843, 5844, 5845, 5846, 5847, 5848, 5849, 5850, 5851, 5852, 5853, 5854, 5855, 5856, 5857, 5858, 5859, 5860, 5861, 5862, 5863, 5864, 5865, 5866, 5867, 5868, 5869, 5870, 5871, 5872, 5873, 5874, 5875, 5876, 5877, 5878, 5879, 5880, 5881, 5882, 5883, 5884, 5885, 5886, 5887, 5888, 5889, 5890, 5891] +private def clayworthEdgeOf_data_c21 : Array (Fin 6048) := #[5892, 5893, 5894, 5895, 5896, 5897, 5898, 5899, 5900, 5901, 5902, 5903, 5904, 5905, 5906, 5907, 5908, 5909, 5910, 5911, 5912, 5913, 5914, 5915, 5916, 5917, 5918, 5919, 5920, 5921, 5922, 5923, 5924, 5925, 5926, 5927, 5928, 5929, 5930, 5931, 5932, 5933, 5934, 5935, 5936, 5937, 5938, 5939, 5940, 5941, 5942, 5943, 5944, 5945, 5946, 5947, 5948, 5949, 5950, 5951, 5472, 5473, 5476, 5477, 5474, 5475, 5552, 5553, 5554, 5555, 5551, 5550, 5653, 5652, 5657, 5656, 5654, 5655, 5488, 5489, 5484, 5485, 5486, 5487, 5478, 5479, 5481, 5480, 5482, 5483, 5497, 5496, 5499, 5498, 5500, 5501, 5623, 5622, 5627, 5626, 5625, 5624, 5651, 5650, 5648, 5649, 5647, 5646, 5599, 5598, 5601, 5600, 5602, 5603, 5556, 5557, 5560, 5561, 5559, 5558, 5615, 5614, 5612, 5613, 5610, 5611, 5588, 5589, 5590, 5591, 5587, 5586, 5521, 5520, 5524, 5525, 5522, 5523, 5605, 5604, 5607, 5606, 5609, 5608, 5576, 5577, 5579, 5578, 5574, 5575, 5538, 5539, 5541, 5540, 5543, 5542, 5547, 5546, 5545, 5544, 5549, 5548, 5513, 5512, 5509, 5508, 5511, 5510, 5580, 5581, 5584, 5585, 5582, 5583, 5643, 5642, 5641, 5640, 5645, 5644, 5593, 5592, 5595, 5594, 5597, 5596, 5569, 5568, 5572, 5573, 5570, 5571, 5534, 5535, 5537, 5536, 5532, 5533, 5517, 5516, 5519, 5518, 5515, 5514, 5527, 5526, 5531, 5530, 5529, 5528, 5639, 5638, 5636, 5637, 5634, 5635, 5616, 5617, 5618, 5619, 5620, 5621, 5563, 5562, 5566, 5567, 5564, 5565, 5504, 5505, 5506, 5507, 5502, 5503, 5628, 5629, 5631, 5630, 5632, 5633, 5490, 5491, 5494, 5495, 5493, 5492, 5660, 5661, 5658, 5659, 5663, 5662, 2311, 2310, 2313, 2312, 2314, 2315, 2321, 2320, 2319, 2318, 2317, 2316, 2305, 2304, 2306, 2307, 2309, 2308, 2488, 2489, 2486, 2487, 2484, 2485, 2495, 2494, 2491, 2490, 2493, 2492, 2344, 2345, 2340, 2341, 2342, 2343, 2362, 2363, 2358, 2359, 2360, 2361, 2326, 2327, 2325, 2324, 2323, 2322, 2472, 2473, 2477, 2476, 2474, 2475, 2330, 2331, 2329, 2328, 2332, 2333, 2364, 2365, 2366, 2367, 2368, 2369, 2462, 2463, 2464, 2465, 2460, 2461, 2421, 2420, 2422, 2423, 2418, 2419, 2396, 2397, 2394, 2395, 2398, 2399, 2446, 2447, 2444, 2445, 2442, 2443, 2452, 2453, 2450, 2451, 2448, 2449, 2336, 2337, 2334, 2335, 2338, 2339, 2412, 2413, 2414, 2415, 2416, 2417, 2376, 2377, 2381, 2380, 2378, 2379, 2467, 2466, 2470, 2471, 2468, 2469, 2424, 2425, 2429, 2428, 2427, 2426, 2480, 2481, 2479, 2478, 2482, 2483, 2410, 2411, 2406, 2407, 2408, 2409, 2437, 2436, 2439, 2438, 2440, 2441, 2390, 2391, 2389, 2388, 2392, 2393, 2430, 2431, 2433, 2432, 2435, 2434, 2375, 2374, 2371, 2370, 2373, 2372, 2405, 2404, 2403, 2402, 2401, 2400, 2386, 2387, 2382, 2383, 2384, 2385, 2349, 2348, 2350, 2351, 2347, 2346, 2454, 2455, 2456, 2457, 2458, 2459, 2352, 2353, 2356, 2357, 2354, 2355, 5782, 5783, 5779, 5778, 5780, 5781, 5761, 5760, 5763, 5762, 5765, 5764, 5950, 5951, 5948, 5949, 5947, 5946, 5861, 5860, 5859, 5858, 5857, 5856, 5788, 5789, 5787, 5786, 5784, 5785, 5926, 5927, 5924, 5925, 5922, 5923, 5797, 5796, 5801, 5800, 5799, 5798, 5841, 5840, 5838, 5839, 5843, 5842, 5790, 5791, 5792, 5793, 5795, 5794, 5928, 5929] +private def clayworthEdgeOf_data_c22 : Array (Fin 6048) := #[5933, 5932, 5930, 5931, 5893, 5892, 5896, 5897, 5894, 5895, 5914, 5915, 5912, 5913, 5911, 5910, 5882, 5883, 5881, 5880, 5884, 5885, 5820, 5821, 5824, 5825, 5822, 5823, 5902, 5903, 5900, 5901, 5898, 5899, 5871, 5870, 5872, 5873, 5869, 5868, 5874, 5875, 5878, 5879, 5877, 5876, 5850, 5851, 5852, 5853, 5855, 5854, 5771, 5770, 5769, 5768, 5766, 5767, 5814, 5815, 5818, 5819, 5817, 5816, 5941, 5940, 5944, 5945, 5942, 5943, 5849, 5848, 5847, 5846, 5845, 5844, 5889, 5888, 5887, 5886, 5891, 5890, 5826, 5827, 5831, 5830, 5829, 5828, 5837, 5836, 5834, 5835, 5832, 5833, 5917, 5916, 5919, 5918, 5920, 5921, 5807, 5806, 5805, 5804, 5803, 5802, 5934, 5935, 5937, 5936, 5938, 5939, 5909, 5908, 5904, 5905, 5906, 5907, 5863, 5862, 5867, 5866, 5865, 5864, 5812, 5813, 5809, 5808, 5810, 5811, 5776, 5777, 5774, 5775, 5772, 5773, 5014, 5015, 5010, 5011, 5012, 5013, 4992, 4993, 4994, 4995, 4997, 4996, 5181, 5180, 5179, 5178, 5183, 5182, 5028, 5029, 5033, 5032, 5030, 5031, 5053, 5052, 5056, 5057, 5055, 5054, 5090, 5091, 5088, 5089, 5093, 5092, 5021, 5020, 5018, 5019, 5016, 5017, 5149, 5148, 5152, 5153, 5150, 5151, 5167, 5166, 5168, 5169, 5170, 5171, 5061, 5060, 5063, 5062, 5058, 5059, 5130, 5131, 5134, 5135, 5132, 5133, 5100, 5101, 5104, 5105, 5102, 5103, 5126, 5127, 5124, 5125, 5128, 5129, 5108, 5109, 5110, 5111, 5107, 5106, 5136, 5137, 5140, 5141, 5138, 5139, 5113, 5112, 5117, 5116, 5114, 5115, 5037, 5036, 5035, 5034, 5039, 5038, 5094, 5095, 5096, 5097, 5098, 5099, 5009, 5008, 5004, 5005, 5007, 5006, 5118, 5119, 5123, 5122, 5121, 5120, 5086, 5087, 5085, 5084, 5083, 5082, 5072, 5073, 5071, 5070, 5075, 5074, 5081, 5080, 5077, 5076, 5079, 5078, 5163, 5162, 5165, 5164, 5161, 5160, 5068, 5069, 5066, 5067, 5064, 5065, 5142, 5143, 5146, 5147, 5145, 5144, 5026, 5027, 5025, 5024, 5022, 5023, 5044, 5045, 5040, 5041, 5042, 5043, 5172, 5173, 5175, 5174, 5176, 5177, 5155, 5154, 5157, 5156, 5159, 5158, 5051, 5050, 5046, 5047, 5048, 5049, 5003, 5002, 5001, 5000, 4999, 4998, 2112, 2113, 2116, 2117, 2115, 2114, 2296, 2297, 2295, 2294, 2292, 2293, 2204, 2205, 2206, 2207, 2202, 2203, 2272, 2273, 2270, 2271, 2269, 2268, 2125, 2124, 2128, 2129, 2126, 2127, 2136, 2137, 2140, 2141, 2138, 2139, 2193, 2192, 2190, 2191, 2195, 2194, 2123, 2122, 2120, 2121, 2119, 2118, 2291, 2290, 2288, 2289, 2286, 2287, 2151, 2150, 2149, 2148, 2153, 2152, 2211, 2210, 2212, 2213, 2208, 2209, 2217, 2216, 2219, 2218, 2215, 2214, 2175, 2174, 2172, 2173, 2176, 2177, 2251, 2250, 2254, 2255, 2252, 2253, 2260, 2261, 2259, 2258, 2257, 2256, 2135, 2134, 2133, 2132, 2130, 2131, 2238, 2239, 2242, 2243, 2241, 2240, 2199, 2198, 2197, 2196, 2201, 2200, 2161, 2160, 2164, 2165, 2162, 2163, 2244, 2245, 2247, 2246, 2249, 2248, 2234, 2235, 2232, 2233, 2236, 2237, 2158, 2159, 2155, 2154, 2156, 2157, 2178, 2179, 2180, 2181, 2182, 2183, 2188, 2189, 2186, 2187, 2184, 2185, 2285, 2284, 2282, 2283, 2281, 2280, 2170, 2171, 2169, 2168, 2167, 2166, 2220, 2221, 2225, 2224, 2222, 2223, 2265, 2264, 2262, 2263, 2266, 2267, 2144, 2145, 2146, 2147] +private def clayworthEdgeOf_data_c23 : Array (Fin 6048) := #[2142, 2143, 2275, 2274, 2276, 2277, 2278, 2279, 2227, 2226, 2230, 2231, 2228, 2229, 2303, 2302, 2300, 2301, 2298, 2299, 396, 397, 399, 398, 401, 400, 416, 417, 418, 419, 415, 414, 385, 384, 386, 387, 388, 389, 561, 560, 558, 559, 562, 563, 568, 569, 564, 565, 567, 566, 392, 393, 394, 395, 390, 391, 432, 433, 434, 435, 437, 436, 420, 421, 425, 424, 423, 422, 440, 441, 438, 439, 442, 443, 532, 533, 528, 529, 530, 531, 556, 557, 555, 554, 552, 553, 534, 535, 536, 537, 538, 539, 446, 447, 448, 449, 445, 444, 456, 457, 461, 460, 458, 459, 518, 519, 520, 521, 517, 516, 495, 494, 496, 497, 492, 493, 462, 463, 464, 465, 466, 467, 512, 513, 514, 515, 511, 510, 429, 428, 427, 426, 431, 430, 490, 491, 489, 488, 486, 487, 451, 450, 454, 455, 453, 452, 403, 402, 407, 406, 405, 404, 547, 546, 551, 550, 549, 548, 504, 505, 507, 506, 509, 508, 473, 472, 468, 469, 471, 470, 499, 498, 503, 502, 501, 500, 482, 483, 480, 481, 485, 484, 526, 527, 524, 525, 522, 523, 542, 543, 540, 541, 545, 544, 477, 476, 475, 474, 479, 478, 413, 412, 408, 409, 410, 411, 573, 572, 574, 575, 571, 570, 775, 774, 777, 776, 778, 779, 769, 768, 771, 770, 773, 772, 951, 950, 948, 949, 952, 953, 959, 958, 955, 954, 957, 956, 805, 804, 806, 807, 808, 809, 920, 921, 918, 919, 922, 923, 792, 793, 795, 794, 797, 796, 836, 837, 835, 834, 839, 838, 800, 801, 802, 803, 799, 798, 943, 942, 945, 944, 947, 946, 901, 900, 905, 904, 903, 902, 885, 884, 883, 882, 886, 887, 829, 828, 833, 832, 831, 830, 910, 911, 909, 908, 906, 907, 860, 861, 862, 863, 858, 859, 880, 881, 879, 878, 876, 877, 840, 841, 842, 843, 844, 845, 847, 846, 850, 851, 848, 849, 786, 787, 790, 791, 788, 789, 821, 820, 817, 816, 819, 818, 924, 925, 928, 929, 926, 927, 870, 871, 875, 874, 873, 872, 896, 897, 895, 894, 898, 899, 890, 891, 888, 889, 892, 893, 865, 864, 867, 866, 869, 868, 810, 811, 813, 812, 815, 814, 941, 940, 936, 937, 939, 938, 824, 825, 826, 827, 822, 823, 915, 914, 912, 913, 917, 916, 852, 853, 857, 856, 855, 854, 932, 933, 930, 931, 934, 935, 784, 785, 782, 783, 781, 780, 5952, 5953, 5954, 5955, 5956, 5957, 5958, 5959, 5960, 5961, 5962, 5963, 5953, 5952, 5954, 5955, 5957, 5956, 5964, 5965, 5966, 5967, 5968, 5969, 5970, 5971, 5972, 5973, 5974, 5975, 5962, 5963, 5959, 5958, 5960, 5961, 5976, 5976, 5977, 5978, 5977, 5978, 5979, 5980, 5981, 5982, 5983, 5984, 5985, 5986, 5987, 5988, 5989, 5990, 5991, 5992, 5993, 5994, 5995, 5996, 5981, 5982, 5984, 5983, 5980, 5979, 5997, 5998, 5999, 6000, 6001, 6002, 5991, 5992, 5994, 5993, 5995, 5996, 6003, 6004, 6005, 6006, 6007, 6008, 6009, 6010, 6011, 6012, 6013, 6014, 6015, 6016, 6017, 6018, 6019, 6020] +private def clayworthEdgeOf_data_c24 : Array (Fin 6048) := #[6021, 6021, 6022, 6023, 6022, 6023, 6024, 6025, 6026, 6027, 6028, 6029, 6030, 6030, 6031, 6032, 6031, 6032, 5974, 5975, 5970, 5971, 5973, 5972, 6008, 6007, 6004, 6003, 6006, 6005, 6019, 6020, 6016, 6015, 6018, 6017, 6033, 6034, 6035, 6036, 6037, 6038, 6037, 6038, 6035, 6036, 6033, 6034, 6028, 6029, 6026, 6027, 6025, 6024, 6039, 6040, 6041, 6042, 6043, 6044, 6009, 6010, 6013, 6014, 6011, 6012, 6045, 6045, 6046, 6047, 6047, 6046, 5990, 5989, 5987, 5988, 5986, 5985, 6041, 6042, 6040, 6039, 6043, 6044, 6002, 6001, 5999, 6000, 5997, 5998, 5968, 5969, 5967, 5966, 5965, 5964] + +private def clayworthEdgeOf_data : Array (Fin 6048) := + clayworthEdgeOf_data_c0 ++ clayworthEdgeOf_data_c1 ++ clayworthEdgeOf_data_c2 ++ clayworthEdgeOf_data_c3 ++ clayworthEdgeOf_data_c4 ++ clayworthEdgeOf_data_c5 ++ clayworthEdgeOf_data_c6 ++ clayworthEdgeOf_data_c7 ++ clayworthEdgeOf_data_c8 ++ clayworthEdgeOf_data_c9 ++ clayworthEdgeOf_data_c10 ++ clayworthEdgeOf_data_c11 ++ clayworthEdgeOf_data_c12 ++ clayworthEdgeOf_data_c13 ++ clayworthEdgeOf_data_c14 ++ clayworthEdgeOf_data_c15 ++ clayworthEdgeOf_data_c16 ++ clayworthEdgeOf_data_c17 ++ clayworthEdgeOf_data_c18 ++ clayworthEdgeOf_data_c19 ++ clayworthEdgeOf_data_c20 ++ clayworthEdgeOf_data_c21 ++ clayworthEdgeOf_data_c22 ++ clayworthEdgeOf_data_c23 ++ clayworthEdgeOf_data_c24 + +private def clayworthFaceOf_data_c0 : Array (Fin 1008) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 5, 4, 1, 0, 3, 2, 4, 5, 1, 0, 3, 2, 12, 13, 12, 13, 13, 12, 14, 15, 15, 14, 14, 15, 2, 3, 4, 5, 0, 1, 14, 15, 15, 14, 15, 14, 7, 6, 8, 9, 11, 10, 8, 9, 7, 6, 11, 10, 10, 11, 9, 8, 6, 7, 1, 0, 2, 3, 5, 4, 14, 15, 14, 15, 15, 14, 12, 13, 13, 12, 12, 13, 5, 4, 3, 2, 1, 0, 4, 5, 0, 1, 3, 2, 11, 10, 7, 6, 8, 9, 3, 2, 4, 5, 0, 1, 2, 3, 5, 4, 1, 0, 10, 11, 7, 6, 9, 8, 1, 0, 5, 4, 2, 3, 11, 10, 8, 9, 6, 7, 7, 6, 10, 11, 9, 8, 14, 15, 15, 14, 14, 15, 2, 3, 5, 4, 0, 1, 13, 12, 12, 13, 12, 13, 10, 11, 9, 8, 7, 6, 9, 8, 10, 11, 7, 6, 6, 7, 10, 11, 9, 8, 4, 5, 0, 1, 3, 2, 12, 13, 12, 13, 13, 12, 10, 11, 6, 7, 8, 9, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323] +private def clayworthFaceOf_data_c1 : Array (Fin 1008) := #[324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 21, 20, 17, 16, 19, 18, 195, 194, 190, 191, 192, 193, 162, 163, 161, 160, 165, 164, 80, 81, 77, 76, 78, 79, 183, 182, 180, 181, 179, 178, 154, 155, 158, 159, 157, 156, 64, 65, 66, 67, 68, 69, 207, 206, 205, 204, 202, 203, 175, 174, 177, 176, 173, 172, 168, 169, 167, 166, 171, 170, 128, 129, 127, 126, 124, 125, 34, 35, 39, 38, 36, 37, 91, 90, 88, 89, 93, 92, 152, 153, 149, 148, 151, 150, 101, 100, 105, 104, 103, 102, 57, 56, 52, 53, 54, 55, 43, 42, 45, 44, 40, 41, 111, 110, 107, 106, 109, 108, 188, 189, 184, 185, 187, 186, 33, 32, 31, 30, 28, 29, 144, 145, 147, 146, 143, 142, 62, 63, 58, 59, 60, 61, 73, 72, 75, 74, 70, 71, 46, 47, 48, 49, 50, 51, 137, 136, 138, 139, 141, 140, 201, 200, 197, 196, 198, 199, 94, 95, 97, 96, 98, 99, 115, 114, 113, 112, 117, 116, 133, 132, 134, 135, 131, 130, 85, 84, 82, 83, 86, 87, 123, 122, 119, 118, 121, 120, 22, 23, 26, 27, 25, 24, 19, 18, 16, 17, 21, 20, 186, 187, 184, 185, 189, 188, 68, 69, 65, 64, 66, 67, 196, 197, 198, 199, 200, 201, 167, 166, 170, 171, 168, 169, 87, 86, 83, 82, 85, 84, 194, 195, 193, 192] +private def clayworthFaceOf_data_c2 : Array (Fin 1008) := #[191, 190, 130, 131, 133, 132, 134, 135, 116, 117, 112, 113, 114, 115, 24, 25, 26, 27, 22, 23, 51, 50, 47, 46, 48, 49, 44, 45, 43, 42, 41, 40, 79, 78, 80, 81, 77, 76, 126, 127, 124, 125, 128, 129, 179, 178, 180, 181, 183, 182, 54, 55, 57, 56, 52, 53, 29, 28, 30, 31, 32, 33, 173, 172, 174, 175, 177, 176, 59, 58, 63, 62, 61, 60, 108, 109, 110, 111, 106, 107, 118, 119, 122, 123, 121, 120, 91, 90, 93, 92, 88, 89, 71, 70, 73, 72, 75, 74, 205, 204, 203, 202, 207, 206, 157, 156, 155, 154, 159, 158, 102, 103, 100, 101, 104, 105, 36, 37, 34, 35, 38, 39, 147, 146, 143, 142, 144, 145, 138, 139, 140, 141, 136, 137, 160, 161, 162, 163, 165, 164, 148, 149, 153, 152, 150, 151, 96, 97, 99, 98, 95, 94, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 615, 614, 612, 613, 610, 611, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 642, 643, 644, 645, 641, 640, 652, 653, 654, 655, 656, 657, 605, 604, 609, 608, 606, 607, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 660, 661, 659, 658, 663, 662, 631, 630, 633, 632, 628, 629, 653, 652, 655, 654, 657, 656, 676, 677, 678, 679, 680, 681, 624, 625, 626, 627, 622, 623, 670, 671, 673, 672, 675, 674, 593, 592, 597, 596, 595, 594, 682, 683, 684, 685, 686, 687, 664, 665, 666, 667, 668, 669, 639, 638, 637, 636, 635, 634, 619, 618, 620, 621, 617, 616, 599, 598, 601, 600, 602, 603, 684, 685, 687, 686, 682, 683, 649, 648, 651, 650, 646, 647, 678, 679, 676, 677, 680, 681, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843] +private def clayworthFaceOf_data_c3 : Array (Fin 1008) := #[844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 881, 880, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 902, 903, 905, 904, 900, 901, 892, 893, 888, 889, 890, 891, 906, 907, 906, 907, 907, 906, 908, 909, 910, 911, 912, 913, 909, 908, 911, 910, 912, 913, 911, 910, 913, 912, 909, 908, 914, 915, 916, 917, 918, 919, 920, 921, 921, 920, 921, 920, 922, 923, 922, 923, 923, 922, 888, 889, 890, 891, 892, 893, 924, 925, 926, 927, 928, 929, 930, 931, 931, 930, 930, 931, 894, 895, 898, 899, 897, 896, 916, 917, 918, 919, 914, 915, 924, 925, 926, 927, 929, 928, 886, 887, 884, 885, 882, 883, 904, 905, 902, 903, 901, 900, 932, 933, 933, 932, 933, 932, 929, 928, 926, 927, 924, 925, 884, 885, 886, 887, 882, 883, 934, 935, 934, 935, 935, 934, 936, 937, 938, 939, 940, 941, 898, 899, 894, 895, 897, 896, 938, 939, 941, 940, 936, 937, 918, 919, 917, 916, 914, 915, 942, 943, 942, 943, 943, 942, 940, 941, 939, 938, 937, 936, 784, 785, 788, 789, 786, 787, 734, 735, 733, 732, 731, 730, 803, 802, 807, 806, 804, 805, 852, 853, 854, 855, 851, 850, 695, 694, 699, 698, 696, 697, 757, 756, 755, 754, 758, 759, 797, 796, 801, 800, 798, 799, 808, 809, 811, 810, 813, 812, 753, 752, 750, 751, 748, 749, 876, 877, 879, 878, 875, 874, 762, 763, 760, 761, 764, 765, 713, 712, 717, 716, 715, 714, 829, 828, 831, 830, 827, 826, 707, 706, 709, 708, 711, 710, 846, 847, 845, 844, 849, 848, 814, 815, 819, 818, 816, 817, 869, 868, 870, 871, 873, 872, 739, 738, 740, 741, 736, 737, 692, 693, 691, 690, 689, 688, 822, 823, 820, 821, 825, 824, 772, 773, 774, 775, 776, 777, 724, 725, 727, 726, 728, 729, 865, 864, 867, 866, 863, 862, 843, 842, 840, 841, 839, 838, 857, 856, 860, 861, 858, 859, 743, 742, 746, 747, 744, 745, 778, 779, 780, 781, 783, 782, 700, 701, 703, 702, 705, 704, 790, 791, 793, 792, 795, 794, 720, 721, 718, 719, 722, 723, 768, 769, 767, 766, 771, 770, 833, 832, 836, 837, 835, 834, 777, 776, 774, 775, 773, 772, 860, 861, 859, 858, 857, 856, 846, 847, 849, 848, 845, 844, 694, 695, 698, 699, 697, 696, 853, 852, 854, 855, 851, 850, 712, 713, 715, 714, 717, 716, 756, 757, 755, 754, 758, 759, 810, 811, 812, 813, 809, 808, 800, 801, 799, 798, 796, 797, 817, 816, 819, 818, 815, 814, 842, 843, 840, 841, 839, 838, 762, 763, 760, 761, 764, 765, 745, 744, 747, 746, 743, 742, 807, 806] +private def clayworthFaceOf_data_c4 : Array (Fin 1008) := #[803, 802, 804, 805, 693, 692, 691, 690, 689, 688, 791, 790, 793, 792, 795, 794, 827, 826, 829, 828, 830, 831, 780, 781, 778, 779, 782, 783, 879, 878, 875, 874, 876, 877, 718, 719, 722, 723, 720, 721, 734, 735, 730, 731, 732, 733, 740, 741, 738, 739, 736, 737, 867, 866, 865, 864, 863, 862, 789, 788, 785, 784, 787, 786, 703, 702, 705, 704, 700, 701, 835, 834, 836, 837, 833, 832, 709, 708, 707, 706, 711, 710, 869, 868, 873, 872, 870, 871, 820, 821, 823, 822, 825, 824, 726, 727, 729, 728, 725, 724, 750, 751, 753, 752, 749, 748, 766, 767, 769, 768, 770, 771, 664, 665, 668, 669, 666, 667, 661, 660, 663, 662, 658, 659, 653, 652, 657, 656, 654, 655, 616, 617, 618, 619, 620, 621, 611, 610, 614, 615, 613, 612, 655, 654, 652, 653, 657, 656, 630, 631, 628, 629, 633, 632, 624, 625, 623, 622, 627, 626, 650, 651, 648, 649, 647, 646, 634, 635, 638, 639, 636, 637, 678, 679, 676, 677, 680, 681, 645, 644, 642, 643, 641, 640, 600, 601, 599, 598, 603, 602, 673, 672, 671, 670, 674, 675, 607, 606, 604, 605, 608, 609, 675, 674, 673, 672, 670, 671, 686, 687, 684, 685, 682, 683, 631, 630, 633, 632, 628, 629, 648, 649, 647, 646, 651, 650, 595, 594, 596, 597, 592, 593, 600, 601, 602, 603, 598, 599, 664, 665, 669, 668, 667, 666, 637, 636, 638, 639, 635, 634, 641, 640, 645, 644, 643, 642, 659, 658, 660, 661, 663, 662, 617, 616, 619, 618, 621, 620, 612, 613, 610, 611, 615, 614, 677, 676, 678, 679, 681, 680, 595, 594, 593, 592, 597, 596, 624, 625, 627, 626, 622, 623, 609, 608, 604, 605, 607, 606, 685, 684, 683, 682, 686, 687, 944, 945, 944, 945, 945, 944, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 958, 959, 959, 958, 960, 961, 962, 963, 964, 965, 962, 963, 961, 960, 964, 965, 966, 967, 968, 969, 970, 971, 970, 971, 967, 966, 969, 968, 969, 968, 970, 971, 966, 967, 972, 973, 973, 972, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 980, 981, 981, 980, 982, 983, 983, 982, 982, 983, 984, 985, 986, 987, 988, 989, 954, 955, 956, 957, 952, 953, 990, 991, 992, 993, 994, 995, 988, 989, 984, 985, 987, 986, 950, 951, 949, 948, 947, 946, 996, 997, 998, 999, 1000, 1001, 964, 965, 961, 960, 962, 963, 974, 975, 976, 977, 978, 979, 996, 997, 998, 999, 1001, 1000, 956, 957, 954, 955, 952, 953, 995, 994, 991, 990, 992, 993, 979, 978, 974, 975, 976, 977, 1002, 1003, 1003, 1002, 1003, 1002, 950, 951, 948, 949, 946, 947, 1004, 1005, 1004, 1005, 1005, 1004, 988, 989, 987, 986, 984, 985, 992, 993, 991, 990, 994, 995, 998, 999, 996, 997, 1000, 1001, 1006, 1007, 1007, 1006, 1007, 1006, 387, 386, 384, 385] +private def clayworthFaceOf_data_c5 : Array (Fin 1008) := #[383, 382, 353, 352, 355, 354, 357, 356, 263, 262, 264, 265, 266, 267, 215, 214, 219, 218, 217, 216, 335, 334, 336, 337, 339, 338, 303, 302, 299, 298, 301, 300, 391, 390, 392, 393, 389, 388, 268, 269, 272, 273, 271, 270, 291, 290, 288, 289, 287, 286, 371, 370, 374, 375, 373, 372, 260, 261, 256, 257, 259, 258, 322, 323, 324, 325, 326, 327, 292, 293, 295, 294, 296, 297, 399, 398, 396, 397, 394, 395, 362, 363, 359, 358, 361, 360, 342, 343, 340, 341, 344, 345, 223, 222, 221, 220, 224, 225, 227, 226, 231, 230, 229, 228, 332, 333, 329, 328, 330, 331, 284, 285, 281, 280, 283, 282, 306, 307, 304, 305, 308, 309, 244, 245, 246, 247, 248, 249, 279, 278, 276, 277, 274, 275, 347, 346, 348, 349, 350, 351, 234, 235, 236, 237, 232, 233, 315, 314, 311, 310, 312, 313, 368, 369, 365, 364, 367, 366, 211, 210, 213, 212, 208, 209, 239, 238, 240, 241, 243, 242, 253, 252, 250, 251, 254, 255, 380, 381, 377, 376, 379, 378, 317, 316, 318, 319, 320, 321, 315, 314, 311, 310, 313, 312, 350, 351, 347, 346, 348, 349, 340, 341, 343, 342, 345, 344, 392, 393, 390, 391, 388, 389, 289, 288, 290, 291, 286, 287, 335, 334, 337, 336, 338, 339, 256, 257, 261, 260, 258, 259, 292, 293, 296, 297, 294, 295, 282, 283, 284, 285, 281, 280, 369, 368, 365, 364, 367, 366, 306, 307, 305, 304, 309, 308, 361, 360, 362, 363, 359, 358, 371, 370, 374, 375, 373, 372, 219, 218, 214, 215, 217, 216, 325, 324, 323, 322, 327, 326, 239, 238, 243, 242, 241, 240, 251, 250, 252, 253, 255, 254, 232, 233, 236, 237, 235, 234, 387, 386, 385, 384, 383, 382, 379, 378, 381, 380, 377, 376, 270, 271, 272, 273, 269, 268, 276, 277, 275, 274, 279, 278, 333, 332, 328, 329, 331, 330, 352, 353, 355, 354, 357, 356, 266, 267, 264, 265, 263, 262, 396, 397, 399, 398, 394, 395, 209, 208, 211, 210, 213, 212, 300, 301, 303, 302, 298, 299, 319, 318, 316, 317, 320, 321, 226, 227, 229, 228, 231, 230, 249, 248, 245, 244, 246, 247, 221, 220, 223, 222, 225, 224, 371, 370, 375, 374, 373, 372, 390, 391, 393, 392, 388, 389, 273, 272, 270, 271, 269, 268, 260, 261, 256, 257, 258, 259, 225, 224, 220, 221, 223, 222, 295, 294, 296, 297, 292, 293, 276, 277, 275, 274, 279, 278, 307, 306, 304, 305, 308, 309, 399, 398, 396, 397, 394, 395, 369, 368, 364, 365, 367, 366, 359, 358, 362, 363, 361, 360, 335, 334, 337, 336, 338, 339, 232, 233, 236, 237, 234, 235, 303, 302, 300, 301, 298, 299, 227, 226, 230, 231, 228, 229, 264, 265, 267, 266, 263, 262, 215, 214, 218, 219, 216, 217, 244, 245, 249, 248, 246, 247, 238, 239, 242, 243, 241, 240, 315, 314, 310, 311, 312, 313] +private def clayworthFaceOf_data_c6 : Array (Fin 1008) := #[291, 290, 287, 286, 289, 288, 380, 381, 377, 376, 379, 378, 350, 351, 348, 349, 346, 347, 255, 254, 251, 250, 252, 253, 282, 283, 280, 281, 285, 284, 354, 355, 357, 356, 353, 352, 384, 385, 387, 386, 383, 382, 321, 320, 318, 319, 317, 316, 345, 344, 342, 343, 341, 340, 330, 331, 332, 333, 328, 329, 325, 324, 323, 322, 326, 327, 213, 212, 209, 208, 210, 211, 20, 21, 18, 19, 16, 17, 204, 205, 207, 206, 203, 202, 156, 157, 155, 154, 158, 159, 95, 94, 96, 97, 99, 98, 91, 90, 89, 88, 93, 92, 135, 134, 131, 130, 133, 132, 129, 128, 127, 126, 125, 124, 121, 120, 118, 119, 122, 123, 185, 184, 187, 186, 189, 188, 46, 47, 51, 50, 49, 48, 112, 113, 114, 115, 116, 117, 42, 43, 44, 45, 41, 40, 165, 164, 161, 160, 162, 163, 137, 136, 141, 140, 139, 138, 180, 181, 178, 179, 183, 182, 107, 106, 110, 111, 108, 109, 201, 200, 197, 196, 198, 199, 195, 194, 190, 191, 193, 192, 84, 85, 83, 82, 87, 86, 169, 168, 171, 170, 167, 166, 77, 76, 78, 79, 80, 81, 104, 105, 101, 100, 103, 102, 53, 52, 57, 56, 54, 55, 173, 172, 175, 174, 177, 176, 22, 23, 24, 25, 26, 27, 62, 63, 59, 58, 61, 60, 29, 28, 33, 32, 31, 30, 150, 151, 148, 149, 153, 152, 142, 143, 145, 144, 147, 146, 70, 71, 72, 73, 74, 75, 36, 37, 39, 38, 34, 35, 68, 69, 65, 64, 66, 67, 944, 945, 945, 944, 945, 944, 969, 968, 970, 971, 966, 967, 989, 988, 987, 986, 985, 984, 982, 983, 983, 982, 982, 983, 987, 986, 985, 984, 989, 988, 1003, 1002, 1003, 1002, 1002, 1003, 990, 991, 993, 992, 994, 995, 990, 991, 993, 992, 995, 994, 993, 992, 990, 991, 994, 995, 948, 949, 951, 950, 947, 946, 952, 953, 954, 955, 956, 957, 965, 964, 963, 962, 961, 960, 976, 977, 974, 975, 979, 978, 979, 978, 976, 977, 974, 975, 965, 964, 963, 962, 961, 960, 972, 973, 973, 972, 972, 973, 987, 986, 989, 988, 985, 984, 1005, 1004, 1004, 1005, 1004, 1005, 948, 949, 946, 947, 950, 951, 1000, 1001, 999, 998, 996, 997, 954, 955, 957, 956, 953, 952, 970, 971, 968, 969, 966, 967, 965, 964, 963, 962, 960, 961, 1001, 1000, 997, 996, 998, 999, 952, 953, 956, 957, 955, 954, 969, 968, 967, 966, 970, 971, 980, 981, 980, 981, 981, 980, 1007, 1006, 1007, 1006, 1006, 1007, 974, 975, 976, 977, 979, 978, 999, 998, 1001, 1000, 997, 996, 948, 949, 947, 946, 951, 950, 958, 959, 958, 959, 959, 958, 405, 404, 403, 402, 400, 401, 450, 451, 453, 452, 448, 449, 550, 551, 554, 555, 552, 553, 427, 426, 428, 429, 424, 425, 543, 542, 541, 540, 539, 538, 558, 559, 560, 561, 557, 556, 532, 533, 534, 535, 536, 537, 565, 564] +private def clayworthFaceOf_data_c7 : Array (Fin 1008) := #[567, 566, 563, 562, 481, 480, 483, 482, 479, 478, 495, 494, 492, 493, 491, 490, 444, 445, 446, 447, 442, 443, 530, 531, 527, 526, 528, 529, 440, 441, 437, 436, 438, 439, 470, 471, 466, 467, 468, 469, 525, 524, 520, 521, 523, 522, 577, 576, 574, 575, 578, 579, 590, 591, 587, 586, 588, 589, 455, 454, 457, 456, 459, 458, 434, 435, 430, 431, 432, 433, 513, 512, 511, 510, 509, 508, 488, 489, 486, 487, 484, 485, 413, 412, 414, 415, 416, 417, 476, 477, 473, 472, 474, 475, 501, 500, 498, 499, 497, 496, 504, 505, 502, 503, 506, 507, 422, 423, 419, 418, 420, 421, 585, 584, 580, 581, 582, 583, 460, 461, 464, 465, 462, 463, 549, 548, 545, 544, 547, 546, 571, 570, 573, 572, 569, 568, 515, 514, 517, 516, 519, 518, 410, 411, 408, 409, 406, 407, 801, 800, 799, 798, 797, 796, 818, 819, 815, 814, 816, 817, 747, 746, 745, 744, 742, 743, 830, 831, 829, 828, 827, 826, 790, 791, 794, 795, 792, 793, 821, 820, 823, 822, 825, 824, 775, 774, 773, 772, 777, 776, 759, 758, 756, 757, 754, 755, 863, 862, 866, 867, 865, 864, 848, 849, 846, 847, 844, 845, 869, 868, 873, 872, 871, 870, 805, 804, 803, 802, 806, 807, 705, 704, 703, 702, 701, 700, 840, 841, 839, 838, 842, 843, 779, 778, 783, 782, 781, 780, 713, 712, 716, 717, 714, 715, 833, 832, 837, 836, 834, 835, 753, 752, 750, 751, 749, 748, 729, 728, 725, 724, 727, 726, 706, 707, 710, 711, 708, 709, 739, 738, 741, 740, 737, 736, 789, 788, 787, 786, 784, 785, 688, 689, 690, 691, 693, 692, 809, 808, 813, 812, 810, 811, 861, 860, 859, 858, 856, 857, 732, 733, 730, 731, 734, 735, 767, 766, 770, 771, 769, 768, 878, 879, 877, 876, 875, 874, 765, 764, 763, 762, 761, 760, 694, 695, 697, 696, 699, 698, 720, 721, 722, 723, 718, 719, 853, 852, 855, 854, 851, 850, 403, 402, 400, 401, 405, 404, 427, 426, 424, 425, 428, 429, 480, 481, 482, 483, 479, 478, 459, 458, 457, 456, 454, 455, 495, 494, 491, 490, 492, 493, 498, 499, 496, 497, 501, 500, 433, 432, 430, 431, 435, 434, 502, 503, 506, 507, 504, 505, 569, 568, 573, 572, 571, 570, 536, 537, 533, 532, 534, 535, 589, 588, 591, 590, 587, 586, 487, 486, 484, 485, 489, 488, 442, 443, 446, 447, 444, 445, 523, 522, 521, 520, 525, 524, 585, 584, 581, 580, 582, 583, 510, 511, 508, 509, 512, 513, 559, 558, 557, 556, 560, 561, 410, 411, 408, 409, 406, 407, 518, 519, 515, 514, 516, 517, 468, 469, 466, 467, 471, 470, 574, 575, 579, 578, 576, 577, 540, 541, 542, 543, 538, 539, 545, 544, 546, 547, 548, 549, 551, 550, 552, 553, 555, 554, 562, 563, 566, 567, 564, 565, 475, 474, 477, 476, 473, 472, 463, 462, 460, 461] +private def clayworthFaceOf_data_c8 : Array (Fin 1008) := #[465, 464, 438, 439, 437, 436, 440, 441, 414, 415, 416, 417, 413, 412, 452, 453, 451, 450, 449, 448, 418, 419, 420, 421, 422, 423, 529, 528, 527, 526, 531, 530, 401, 400, 402, 403, 404, 405, 475, 474, 472, 473, 477, 476, 564, 565, 563, 562, 567, 566, 574, 575, 578, 579, 577, 576, 410, 411, 408, 409, 406, 407, 573, 572, 569, 568, 571, 570, 503, 502, 506, 507, 504, 505, 418, 419, 422, 423, 420, 421, 534, 535, 533, 532, 536, 537, 485, 484, 487, 486, 488, 489, 540, 541, 538, 539, 543, 542, 459, 458, 456, 457, 455, 454, 447, 446, 442, 443, 445, 444, 432, 433, 434, 435, 431, 430, 584, 585, 581, 580, 583, 582, 437, 436, 441, 440, 439, 438, 491, 490, 494, 495, 493, 492, 545, 544, 548, 549, 546, 547, 414, 415, 417, 416, 413, 412, 557, 556, 559, 558, 560, 561, 428, 429, 427, 426, 424, 425, 449, 448, 453, 452, 450, 451, 552, 553, 550, 551, 555, 554, 480, 481, 478, 479, 482, 483, 518, 519, 516, 517, 515, 514, 589, 588, 586, 587, 591, 590, 520, 521, 524, 525, 522, 523, 496, 497, 498, 499, 500, 501, 527, 526, 528, 529, 530, 531, 469, 468, 467, 466, 471, 470, 511, 510, 509, 508, 512, 513, 463, 462, 461, 460, 464, 465, 813, 812, 809, 808, 811, 810, 848, 849, 846, 847, 845, 844, 791, 790, 792, 793, 795, 794, 763, 762, 764, 765, 761, 760, 742, 743, 747, 746, 745, 744, 869, 868, 873, 872, 870, 871, 822, 823, 820, 821, 824, 825, 779, 778, 780, 781, 783, 782, 754, 755, 756, 757, 759, 758, 861, 860, 857, 856, 859, 858, 862, 863, 866, 867, 864, 865, 877, 876, 875, 874, 878, 879, 689, 688, 691, 690, 693, 692, 701, 700, 703, 702, 705, 704, 748, 749, 752, 753, 751, 750, 818, 819, 817, 816, 815, 814, 694, 695, 696, 697, 698, 699, 807, 806, 804, 805, 802, 803, 730, 731, 733, 732, 735, 734, 787, 786, 788, 789, 785, 784, 831, 830, 828, 829, 827, 826, 837, 836, 833, 832, 835, 834, 723, 722, 719, 718, 721, 720, 737, 736, 741, 740, 738, 739, 799, 798, 801, 800, 797, 796, 711, 710, 708, 709, 706, 707, 770, 771, 769, 768, 767, 766, 838, 839, 841, 840, 842, 843, 713, 712, 717, 716, 715, 714, 729, 728, 725, 724, 726, 727, 775, 774, 776, 777, 772, 773, 851, 850, 854, 855, 853, 852, 21, 20, 17, 16, 18, 19, 198, 199, 200, 201, 197, 196, 129, 128, 125, 124, 126, 127, 92, 93, 89, 88, 91, 90, 183, 182, 180, 181, 178, 179, 169, 168, 171, 170, 167, 166, 202, 203, 206, 207, 204, 205, 29, 28, 31, 30, 33, 32, 41, 40, 44, 45, 43, 42, 36, 37, 34, 35, 39, 38, 133, 132, 134, 135, 131, 130, 76, 77, 80, 81, 78, 79, 87, 86, 83, 82, 84, 85, 143, 142, 147, 146, 145, 144] +private def clayworthFaceOf_data_c9 : Array (Fin 1008) := #[152, 153, 151, 150, 148, 149, 141, 140, 137, 136, 139, 138, 121, 120, 122, 123, 119, 118, 157, 156, 159, 158, 155, 154, 75, 74, 70, 71, 72, 73, 190, 191, 193, 192, 195, 194, 162, 163, 164, 165, 160, 161, 54, 55, 57, 56, 52, 53, 64, 65, 68, 69, 66, 67, 46, 47, 49, 48, 50, 51, 107, 106, 110, 111, 109, 108, 99, 98, 95, 94, 97, 96, 172, 173, 175, 174, 176, 177, 26, 27, 22, 23, 25, 24, 60, 61, 63, 62, 59, 58, 185, 184, 188, 189, 187, 186, 101, 100, 104, 105, 103, 102, 114, 115, 113, 112, 117, 116, 945, 944, 944, 945, 944, 945, 990, 991, 993, 992, 995, 994, 949, 948, 950, 951, 947, 946, 964, 965, 963, 962, 961, 960, 1004, 1005, 1005, 1004, 1004, 1005, 981, 980, 980, 981, 980, 981, 1001, 1000, 997, 996, 999, 998, 997, 996, 1001, 1000, 999, 998, 999, 998, 1001, 1000, 997, 996, 1003, 1002, 1002, 1003, 1003, 1002, 952, 953, 954, 955, 956, 957, 957, 956, 953, 952, 954, 955, 1006, 1007, 1007, 1006, 1006, 1007, 963, 962, 964, 965, 961, 960, 950, 951, 949, 948, 947, 946, 986, 987, 988, 989, 984, 985, 949, 948, 950, 951, 946, 947, 988, 989, 987, 986, 984, 985, 967, 966, 971, 970, 968, 969, 971, 970, 967, 966, 969, 968, 993, 992, 990, 991, 995, 994, 995, 994, 990, 991, 993, 992, 973, 972, 972, 973, 972, 973, 959, 958, 958, 959, 958, 959, 954, 955, 957, 956, 953, 952, 974, 975, 976, 977, 978, 979, 960, 961, 962, 963, 964, 965, 976, 977, 979, 978, 974, 975, 989, 988, 985, 984, 986, 987, 971, 970, 968, 969, 967, 966, 982, 983, 982, 983, 983, 982, 979, 978, 974, 975, 976, 977, 662, 663, 659, 658, 660, 661, 649, 648, 647, 646, 651, 650, 618, 619, 616, 617, 620, 621, 656, 657, 655, 654, 652, 653, 630, 631, 628, 629, 633, 632, 624, 625, 623, 622, 627, 626, 607, 606, 608, 609, 604, 605, 636, 637, 638, 639, 634, 635, 682, 683, 687, 686, 684, 685, 671, 670, 672, 673, 674, 675, 602, 603, 601, 600, 598, 599, 612, 613, 610, 611, 615, 614, 660, 661, 659, 658, 663, 662, 648, 649, 651, 650, 647, 646, 599, 598, 603, 602, 600, 601, 593, 592, 595, 594, 596, 597, 644, 645, 642, 643, 640, 641, 622, 623, 624, 625, 626, 627, 612, 613, 615, 614, 610, 611, 606, 607, 609, 608, 605, 604, 668, 669, 664, 665, 666, 667, 645, 644, 643, 642, 641, 640, 679, 678, 680, 681, 676, 677, 592, 593, 596, 597, 594, 595, 639, 638, 635, 634, 637, 636, 671, 670, 672, 673, 674, 675, 621, 620, 617, 616, 619, 618, 681, 680, 678, 679, 676, 677, 654, 655, 653, 652, 657, 656, 682, 683, 685, 684, 687, 686, 665, 664, 668, 669, 666, 667, 629, 628, 631, 630, 632, 633, 751, 750, 752, 753, 749, 748, 721, 720] +private def clayworthFaceOf_data_c10 : Array (Fin 1008) := #[719, 718, 723, 722, 791, 790, 794, 795, 792, 793, 742, 743, 745, 744, 747, 746, 767, 766, 771, 770, 768, 769, 842, 843, 838, 839, 840, 841, 760, 761, 765, 764, 762, 763, 868, 869, 870, 871, 872, 873, 784, 785, 788, 789, 786, 787, 706, 707, 711, 710, 709, 708, 835, 834, 837, 836, 833, 832, 776, 777, 773, 772, 775, 774, 852, 853, 855, 854, 850, 851, 826, 827, 830, 831, 828, 829, 844, 845, 848, 849, 846, 847, 879, 878, 875, 874, 876, 877, 733, 732, 731, 730, 734, 735, 800, 801, 796, 797, 798, 799, 695, 694, 696, 697, 698, 699, 816, 817, 814, 815, 818, 819, 783, 782, 780, 781, 779, 778, 729, 728, 727, 726, 725, 724, 807, 806, 805, 804, 803, 802, 865, 864, 863, 862, 867, 866, 813, 812, 808, 809, 811, 810, 758, 759, 756, 757, 754, 755, 741, 740, 738, 739, 737, 736, 857, 856, 860, 861, 859, 858, 713, 712, 716, 717, 715, 714, 820, 821, 825, 824, 823, 822, 689, 688, 693, 692, 690, 691, 700, 701, 702, 703, 704, 705, 880, 881, 880, 881, 881, 880, 919, 918, 914, 915, 917, 916, 883, 882, 886, 887, 884, 885, 927, 926, 928, 929, 925, 924, 942, 943, 942, 943, 943, 942, 921, 920, 921, 920, 920, 921, 923, 922, 922, 923, 922, 923, 897, 896, 895, 894, 899, 898, 937, 936, 938, 939, 940, 941, 941, 940, 936, 937, 938, 939, 895, 894, 897, 896, 899, 898, 883, 882, 886, 887, 884, 885, 933, 932, 932, 933, 932, 933, 903, 902, 901, 900, 904, 905, 927, 926, 928, 929, 924, 925, 892, 893, 888, 889, 890, 891, 910, 911, 908, 909, 913, 912, 891, 890, 888, 889, 892, 893, 901, 900, 903, 902, 905, 904, 914, 915, 917, 916, 918, 919, 883, 882, 886, 887, 884, 885, 897, 896, 894, 895, 898, 899, 913, 912, 910, 911, 909, 908, 907, 906, 906, 907, 906, 907, 901, 900, 904, 905, 902, 903, 917, 916, 914, 915, 919, 918, 930, 931, 931, 930, 930, 931, 939, 938, 941, 940, 937, 936, 929, 928, 927, 926, 925, 924, 891, 890, 888, 889, 892, 893, 910, 911, 909, 908, 913, 912, 934, 935, 935, 934, 934, 935, 823, 822, 821, 820, 824, 825, 750, 751, 749, 748, 753, 752, 775, 774, 773, 772, 776, 777, 713, 712, 715, 714, 716, 717, 700, 701, 703, 702, 704, 705, 805, 804, 806, 807, 802, 803, 708, 709, 710, 711, 706, 707, 725, 724, 727, 726, 728, 729, 721, 720, 719, 718, 722, 723, 837, 836, 834, 835, 833, 832, 827, 826, 829, 828, 830, 831, 858, 859, 856, 857, 861, 860, 817, 816, 815, 814, 818, 819, 754, 755, 758, 759, 756, 757, 694, 695, 697, 696, 698, 699, 843, 842, 841, 840, 839, 838, 766, 767, 771, 770, 768, 769, 781, 780, 779, 778, 783, 782, 790, 791, 793, 792, 795, 794, 868, 869, 872, 873, 870, 871, 763, 762, 761, 760] +private def clayworthFaceOf_data_c11 : Array (Fin 1008) := #[765, 764, 847, 846, 844, 845, 849, 848, 810, 811, 809, 808, 812, 813, 746, 747, 744, 745, 743, 742, 692, 693, 690, 691, 688, 689, 852, 853, 855, 854, 850, 851, 738, 739, 736, 737, 740, 741, 875, 874, 879, 878, 877, 876, 866, 867, 864, 865, 862, 863, 785, 784, 787, 786, 789, 788, 799, 798, 800, 801, 796, 797, 734, 735, 732, 733, 730, 731, 17, 16, 19, 18, 21, 20, 104, 105, 102, 103, 100, 101, 108, 109, 106, 107, 110, 111, 45, 44, 43, 42, 40, 41, 170, 171, 168, 169, 167, 166, 29, 28, 33, 32, 31, 30, 192, 193, 194, 195, 191, 190, 151, 150, 152, 153, 148, 149, 173, 172, 177, 176, 175, 174, 117, 116, 115, 114, 112, 113, 92, 93, 90, 91, 89, 88, 198, 199, 200, 201, 197, 196, 48, 49, 51, 50, 47, 46, 86, 87, 82, 83, 85, 84, 140, 141, 139, 138, 137, 136, 75, 74, 73, 72, 71, 70, 125, 124, 127, 126, 128, 129, 154, 155, 156, 157, 158, 159, 202, 203, 205, 204, 206, 207, 54, 55, 57, 56, 52, 53, 185, 184, 186, 187, 189, 188, 130, 131, 133, 132, 134, 135, 68, 69, 66, 67, 64, 65, 122, 123, 118, 119, 121, 120, 39, 38, 36, 37, 34, 35, 26, 27, 25, 24, 22, 23, 165, 164, 162, 163, 161, 160, 179, 178, 182, 183, 181, 180, 60, 61, 58, 59, 63, 62, 80, 81, 78, 79, 76, 77, 98, 99, 96, 97, 94, 95, 147, 146, 143, 142, 144, 145, 20, 21, 16, 17, 19, 18, 151, 150, 149, 148, 152, 153, 61, 60, 59, 58, 63, 62, 101, 100, 105, 104, 103, 102, 196, 197, 199, 198, 200, 201, 179, 178, 181, 180, 182, 183, 95, 94, 99, 98, 96, 97, 130, 131, 132, 133, 135, 134, 187, 186, 184, 185, 188, 189, 120, 121, 119, 118, 123, 122, 50, 51, 46, 47, 48, 49, 140, 141, 137, 136, 139, 138, 145, 144, 142, 143, 147, 146, 127, 126, 125, 124, 128, 129, 171, 170, 167, 166, 169, 168, 175, 174, 173, 172, 176, 177, 106, 107, 111, 110, 108, 109, 32, 33, 30, 31, 29, 28, 93, 92, 89, 88, 91, 90, 26, 27, 22, 23, 24, 25, 43, 42, 45, 44, 40, 41, 203, 202, 206, 207, 204, 205, 194, 195, 193, 192, 191, 190, 114, 115, 113, 112, 117, 116, 55, 54, 57, 56, 53, 52, 79, 78, 77, 76, 81, 80, 165, 164, 161, 160, 162, 163, 72, 73, 74, 75, 71, 70, 159, 158, 156, 157, 155, 154, 65, 64, 68, 69, 66, 67, 85, 84, 82, 83, 86, 87, 39, 38, 36, 37, 34, 35, 684, 685, 682, 683, 687, 686, 651, 650, 649, 648, 646, 647, 671, 670, 674, 675, 673, 672, 639, 638, 635, 634, 637, 636, 669, 668, 667, 666, 665, 664, 594, 595, 592, 593, 597, 596, 656, 657, 653, 652, 654, 655, 680, 681, 676, 677, 679, 678] +private def clayworthFaceOf_data_c12 : Array (Fin 1008) := #[662, 663, 661, 660, 658, 659, 637, 636, 639, 638, 635, 634, 616, 617, 618, 619, 620, 621, 643, 642, 640, 641, 645, 644, 609, 608, 604, 605, 607, 606, 626, 627, 623, 622, 625, 624, 611, 610, 614, 615, 612, 613, 606, 607, 605, 604, 608, 609, 597, 596, 595, 594, 593, 592, 640, 641, 643, 642, 645, 644, 598, 599, 600, 601, 603, 602, 628, 629, 630, 631, 633, 632, 611, 610, 614, 615, 613, 612, 677, 676, 679, 678, 680, 681, 626, 627, 622, 623, 625, 624, 652, 653, 656, 657, 654, 655, 647, 646, 648, 649, 651, 650, 687, 686, 683, 682, 685, 684, 673, 672, 671, 670, 674, 675, 629, 628, 632, 633, 630, 631, 669, 668, 665, 664, 667, 666, 663, 662, 658, 659, 661, 660, 618, 619, 621, 620, 617, 616, 602, 603, 598, 599, 601, 600, 400, 401, 403, 402, 405, 404, 492, 493, 495, 494, 491, 490, 514, 515, 516, 517, 519, 518, 501, 500, 497, 496, 498, 499, 442, 443, 444, 445, 446, 447, 451, 450, 452, 453, 448, 449, 527, 526, 529, 528, 531, 530, 520, 521, 523, 522, 525, 524, 545, 544, 546, 547, 548, 549, 508, 509, 513, 512, 510, 511, 430, 431, 433, 432, 435, 434, 543, 542, 539, 538, 541, 540, 476, 477, 473, 472, 474, 475, 574, 575, 576, 577, 578, 579, 424, 425, 427, 426, 428, 429, 557, 556, 561, 560, 559, 558, 507, 506, 503, 502, 504, 505, 441, 440, 438, 439, 436, 437, 460, 461, 465, 464, 463, 462, 568, 569, 571, 570, 572, 573, 420, 421, 419, 418, 422, 423, 563, 562, 565, 564, 566, 567, 413, 412, 414, 415, 416, 417, 532, 533, 536, 537, 534, 535, 485, 484, 487, 486, 488, 489, 408, 409, 407, 406, 410, 411, 590, 591, 586, 587, 588, 589, 469, 468, 467, 466, 470, 471, 480, 481, 478, 479, 483, 482, 455, 454, 456, 457, 459, 458, 584, 585, 580, 581, 582, 583, 553, 552, 551, 550, 554, 555, 16, 17, 19, 18, 20, 21, 118, 119, 122, 123, 121, 120, 73, 72, 74, 75, 71, 70, 87, 86, 84, 85, 82, 83, 136, 137, 138, 139, 141, 140, 33, 32, 30, 31, 29, 28, 190, 191, 195, 194, 193, 192, 81, 80, 78, 79, 76, 77, 205, 204, 206, 207, 202, 203, 91, 90, 93, 92, 88, 89, 24, 25, 26, 27, 22, 23, 134, 135, 133, 132, 131, 130, 108, 109, 110, 111, 107, 106, 47, 46, 50, 51, 48, 49, 154, 155, 158, 159, 157, 156, 149, 148, 153, 152, 151, 150, 180, 181, 178, 179, 182, 183, 66, 67, 68, 69, 64, 65, 102, 103, 100, 101, 105, 104, 58, 59, 62, 63, 60, 61, 167, 166, 171, 170, 168, 169, 199, 198, 197, 196, 201, 200, 174, 175, 177, 176, 172, 173, 189, 188, 187, 186, 185, 184, 34, 35, 39, 38, 36, 37, 112, 113, 116, 117, 115, 114, 44, 45, 42, 43, 40, 41, 145, 144] +private def clayworthFaceOf_data_c13 : Array (Fin 1008) := #[147, 146, 142, 143, 125, 124, 127, 126, 129, 128, 52, 53, 55, 54, 56, 57, 94, 95, 97, 96, 99, 98, 163, 162, 160, 161, 164, 165, 325, 324, 322, 323, 326, 327, 381, 380, 377, 376, 379, 378, 277, 276, 274, 275, 278, 279, 384, 385, 386, 387, 383, 382, 238, 239, 242, 243, 240, 241, 236, 237, 234, 235, 232, 233, 309, 308, 305, 304, 307, 306, 296, 297, 293, 292, 295, 294, 351, 350, 346, 347, 348, 349, 353, 352, 357, 356, 354, 355, 215, 214, 218, 219, 216, 217, 358, 359, 363, 362, 361, 360, 341, 340, 342, 343, 344, 345, 321, 320, 319, 318, 316, 317, 213, 212, 210, 211, 209, 208, 226, 227, 231, 230, 229, 228, 273, 272, 269, 268, 271, 270, 391, 390, 389, 388, 393, 392, 334, 335, 338, 339, 336, 337, 371, 370, 372, 373, 375, 374, 289, 288, 286, 287, 290, 291, 225, 224, 222, 223, 220, 221, 247, 246, 249, 248, 245, 244, 367, 366, 365, 364, 368, 369, 254, 255, 252, 253, 250, 251, 311, 310, 314, 315, 313, 312, 331, 330, 329, 328, 333, 332, 298, 299, 302, 303, 300, 301, 281, 280, 284, 285, 283, 282, 394, 395, 398, 399, 396, 397, 260, 261, 256, 257, 258, 259, 267, 266, 263, 262, 264, 265, 649, 648, 651, 650, 646, 647, 625, 624, 626, 627, 623, 622, 608, 609, 604, 605, 606, 607, 641, 640, 642, 643, 645, 644, 640, 641, 644, 645, 643, 642, 639, 638, 636, 637, 635, 634, 593, 592, 597, 596, 595, 594, 665, 664, 668, 669, 666, 667, 658, 659, 661, 660, 662, 663, 598, 599, 600, 601, 602, 603, 682, 683, 686, 687, 684, 685, 680, 681, 676, 677, 679, 678, 610, 611, 614, 615, 612, 613, 635, 634, 636, 637, 639, 638, 614, 615, 611, 610, 612, 613, 616, 617, 621, 620, 618, 619, 673, 672, 670, 671, 675, 674, 647, 646, 651, 650, 648, 649, 679, 678, 677, 676, 680, 681, 632, 633, 629, 628, 630, 631, 656, 657, 652, 653, 655, 654, 667, 666, 668, 669, 664, 665, 674, 675, 673, 672, 671, 670, 597, 596, 594, 595, 592, 593, 663, 662, 660, 661, 659, 658, 656, 657, 653, 652, 654, 655, 685, 684, 687, 686, 683, 682, 626, 627, 624, 625, 622, 623, 632, 633, 630, 631, 629, 628, 605, 604, 606, 607, 609, 608, 601, 600, 602, 603, 599, 598, 616, 617, 620, 621, 619, 618, 816, 817, 814, 815, 818, 819, 727, 726, 728, 729, 725, 724, 865, 864, 867, 866, 862, 863, 774, 775, 776, 777, 772, 773, 868, 869, 871, 870, 873, 872, 771, 770, 767, 766, 769, 768, 840, 841, 842, 843, 839, 838, 786, 787, 785, 784, 788, 789, 844, 845, 846, 847, 848, 849, 807, 806, 804, 805, 803, 802, 710, 711, 707, 706, 708, 709, 783, 782, 780, 781, 779, 778, 791, 790, 795, 794, 792, 793, 850, 851, 855, 854, 853, 852, 744, 745, 743, 742] +private def clayworthFaceOf_data_c14 : Array (Fin 1008) := #[746, 747, 732, 733, 731, 730, 734, 735, 692, 693, 688, 689, 691, 690, 695, 694, 696, 697, 698, 699, 813, 812, 811, 810, 808, 809, 713, 712, 717, 716, 715, 714, 765, 764, 760, 761, 762, 763, 825, 824, 820, 821, 823, 822, 874, 875, 878, 879, 876, 877, 723, 722, 719, 718, 721, 720, 756, 757, 758, 759, 754, 755, 749, 748, 751, 750, 753, 752, 836, 837, 833, 832, 835, 834, 830, 831, 827, 826, 829, 828, 737, 736, 741, 740, 739, 738, 801, 800, 797, 796, 799, 798, 705, 704, 702, 703, 701, 700, 861, 860, 856, 857, 859, 858, 17, 16, 18, 19, 21, 20, 114, 115, 113, 112, 117, 116, 148, 149, 150, 151, 153, 152, 82, 83, 85, 84, 86, 87, 36, 37, 34, 35, 38, 39, 43, 42, 40, 41, 45, 44, 138, 139, 136, 137, 141, 140, 48, 49, 47, 46, 51, 50, 52, 53, 55, 54, 56, 57, 61, 60, 59, 58, 62, 63, 200, 201, 196, 197, 198, 199, 143, 142, 146, 147, 144, 145, 64, 65, 68, 69, 66, 67, 157, 156, 155, 154, 159, 158, 132, 133, 130, 131, 134, 135, 95, 94, 96, 97, 98, 99, 169, 168, 166, 167, 170, 171, 183, 182, 181, 180, 179, 178, 102, 103, 100, 101, 105, 104, 186, 187, 185, 184, 189, 188, 192, 193, 190, 191, 194, 195, 163, 162, 160, 161, 164, 165, 76, 77, 81, 80, 79, 78, 26, 27, 22, 23, 25, 24, 122, 123, 119, 118, 121, 120, 92, 93, 89, 88, 90, 91, 74, 75, 70, 71, 72, 73, 176, 177, 173, 172, 175, 174, 30, 31, 28, 29, 32, 33, 204, 205, 203, 202, 207, 206, 125, 124, 126, 127, 129, 128, 108, 109, 106, 107, 110, 111, 251, 250, 252, 253, 254, 255, 383, 382, 384, 385, 386, 387, 370, 371, 373, 372, 374, 375, 271, 270, 273, 272, 269, 268, 344, 345, 343, 342, 340, 341, 360, 361, 358, 359, 363, 362, 379, 378, 380, 381, 377, 376, 330, 331, 332, 333, 328, 329, 266, 267, 262, 263, 265, 264, 237, 236, 232, 233, 235, 234, 327, 326, 324, 325, 322, 323, 259, 258, 261, 260, 257, 256, 335, 334, 339, 338, 336, 337, 287, 286, 288, 289, 291, 290, 227, 226, 229, 228, 231, 230, 366, 367, 364, 365, 369, 368, 313, 312, 315, 314, 311, 310, 354, 355, 356, 357, 352, 353, 238, 239, 240, 241, 243, 242, 218, 219, 214, 215, 217, 216, 302, 303, 301, 300, 299, 298, 209, 208, 211, 210, 213, 212, 225, 224, 221, 220, 223, 222, 396, 397, 395, 394, 398, 399, 317, 316, 320, 321, 318, 319, 245, 244, 247, 246, 249, 248, 296, 297, 292, 293, 295, 294, 306, 307, 309, 308, 305, 304, 393, 392, 389, 388, 391, 390, 285, 284, 281, 280, 283, 282, 275, 274, 278, 279, 277, 276, 350, 351, 349, 348, 347, 346, 782, 783, 778, 779, 781, 780, 740, 741, 737, 736, 738, 739] +private def clayworthFaceOf_data_c15 : Array (Fin 1008) := #[688, 689, 692, 693, 691, 690, 712, 713, 717, 716, 714, 715, 710, 711, 709, 708, 707, 706, 852, 853, 850, 851, 854, 855, 756, 757, 758, 759, 755, 754, 796, 797, 801, 800, 799, 798, 812, 813, 808, 809, 810, 811, 867, 866, 865, 864, 862, 863, 841, 840, 842, 843, 838, 839, 735, 734, 730, 731, 733, 732, 694, 695, 698, 699, 697, 696, 750, 751, 753, 752, 748, 749, 790, 791, 795, 794, 793, 792, 860, 861, 857, 856, 858, 859, 845, 844, 846, 847, 848, 849, 869, 868, 870, 871, 873, 872, 747, 746, 745, 744, 743, 742, 718, 719, 723, 722, 720, 721, 726, 727, 728, 729, 724, 725, 784, 785, 789, 788, 787, 786, 762, 763, 760, 761, 765, 764, 825, 824, 823, 822, 820, 821, 877, 876, 874, 875, 878, 879, 830, 831, 826, 827, 828, 829, 772, 773, 774, 775, 776, 777, 705, 704, 701, 700, 703, 702, 803, 802, 807, 806, 804, 805, 836, 837, 832, 833, 835, 834, 814, 815, 819, 818, 816, 817, 771, 770, 768, 769, 767, 766, 404, 405, 401, 400, 403, 402, 509, 508, 512, 513, 511, 510, 577, 576, 575, 574, 578, 579, 557, 556, 558, 559, 560, 561, 485, 484, 488, 489, 486, 487, 539, 538, 543, 542, 541, 540, 471, 470, 466, 467, 468, 469, 532, 533, 536, 537, 534, 535, 566, 567, 565, 564, 563, 562, 481, 480, 483, 482, 479, 478, 447, 446, 442, 443, 445, 444, 500, 501, 499, 498, 497, 496, 465, 464, 462, 463, 460, 461, 477, 476, 475, 474, 473, 472, 459, 458, 455, 454, 457, 456, 408, 409, 410, 411, 406, 407, 430, 431, 432, 433, 435, 434, 552, 553, 551, 550, 555, 554, 505, 504, 506, 507, 502, 503, 423, 422, 419, 418, 421, 420, 417, 416, 413, 412, 415, 414, 517, 516, 518, 519, 515, 514, 426, 427, 428, 429, 424, 425, 441, 440, 437, 436, 439, 438, 587, 586, 591, 590, 589, 588, 569, 568, 570, 571, 573, 572, 450, 451, 449, 448, 453, 452, 581, 580, 582, 583, 585, 584, 530, 531, 527, 526, 528, 529, 525, 524, 521, 520, 522, 523, 495, 494, 493, 492, 491, 490, 545, 544, 549, 548, 547, 546, 245, 244, 249, 248, 247, 246, 367, 366, 365, 364, 369, 368, 223, 222, 224, 225, 221, 220, 312, 313, 310, 311, 314, 315, 335, 334, 339, 338, 336, 337, 287, 286, 289, 288, 291, 290, 301, 300, 303, 302, 299, 298, 370, 371, 374, 375, 373, 372, 358, 359, 360, 361, 362, 363, 378, 379, 381, 380, 376, 377, 330, 331, 332, 333, 329, 328, 209, 208, 210, 211, 212, 213, 233, 232, 237, 236, 234, 235, 257, 256, 258, 259, 261, 260, 383, 382, 384, 385, 386, 387, 395, 394, 397, 396, 399, 398, 348, 349, 350, 351, 347, 346, 227, 226, 228, 229, 230, 231, 307, 306, 305, 304, 308, 309, 340, 341, 345, 344, 343, 342, 319, 318, 317, 316, 321, 320, 324, 325] +private def clayworthFaceOf_data_c16 : Array (Fin 1008) := #[327, 326, 323, 322, 252, 253, 251, 250, 255, 254, 355, 354, 352, 353, 357, 356, 296, 297, 295, 294, 292, 293, 218, 219, 214, 215, 216, 217, 390, 391, 392, 393, 388, 389, 264, 265, 266, 267, 262, 263, 277, 276, 275, 274, 279, 278, 273, 272, 269, 268, 271, 270, 238, 239, 242, 243, 240, 241, 281, 280, 283, 282, 284, 285, 21, 20, 18, 19, 17, 16, 109, 108, 110, 111, 107, 106, 147, 146, 142, 143, 145, 144, 152, 153, 149, 148, 151, 150, 134, 135, 132, 133, 130, 131, 158, 159, 156, 157, 155, 154, 128, 129, 127, 126, 125, 124, 103, 102, 101, 100, 104, 105, 75, 74, 73, 72, 71, 70, 32, 33, 31, 30, 28, 29, 176, 177, 172, 173, 175, 174, 182, 183, 181, 180, 179, 178, 139, 138, 141, 140, 137, 136, 36, 37, 39, 38, 34, 35, 163, 162, 161, 160, 165, 164, 81, 80, 79, 78, 76, 77, 63, 62, 60, 61, 58, 59, 85, 84, 82, 83, 86, 87, 201, 200, 197, 196, 199, 198, 188, 189, 185, 184, 187, 186, 66, 67, 68, 69, 65, 64, 123, 122, 121, 120, 119, 118, 169, 168, 171, 170, 166, 167, 194, 195, 192, 193, 190, 191, 48, 49, 50, 51, 46, 47, 42, 43, 45, 44, 40, 41, 97, 96, 99, 98, 95, 94, 203, 202, 206, 207, 204, 205, 25, 24, 22, 23, 26, 27, 89, 88, 91, 90, 92, 93, 117, 116, 115, 114, 112, 113, 53, 52, 57, 56, 55, 54, 320, 321, 319, 318, 316, 317, 322, 323, 324, 325, 326, 327, 306, 307, 305, 304, 309, 308, 226, 227, 228, 229, 231, 230, 247, 246, 244, 245, 248, 249, 252, 253, 251, 250, 254, 255, 386, 387, 382, 383, 384, 385, 260, 261, 259, 258, 256, 257, 288, 289, 287, 286, 290, 291, 278, 279, 274, 275, 277, 276, 216, 217, 218, 219, 215, 214, 292, 293, 296, 297, 294, 295, 238, 239, 240, 241, 242, 243, 342, 343, 344, 345, 341, 340, 220, 221, 222, 223, 225, 224, 371, 370, 374, 375, 373, 372, 376, 377, 378, 379, 380, 381, 234, 235, 237, 236, 233, 232, 346, 347, 348, 349, 351, 350, 269, 268, 270, 271, 273, 272, 210, 211, 212, 213, 209, 208, 332, 333, 328, 329, 331, 330, 263, 262, 267, 266, 265, 264, 358, 359, 360, 361, 363, 362, 303, 302, 298, 299, 300, 301, 284, 285, 281, 280, 283, 282, 368, 369, 366, 367, 365, 364, 397, 396, 395, 394, 399, 398, 334, 335, 338, 339, 336, 337, 352, 353, 354, 355, 356, 357, 311, 310, 312, 313, 315, 314, 393, 392, 389, 388, 391, 390, 734, 735, 731, 730, 732, 733, 834, 835, 836, 837, 832, 833, 689, 688, 693, 692, 690, 691, 753, 752, 750, 751, 749, 748, 868, 869, 872, 873, 870, 871, 841, 840, 839, 838, 843, 842, 829, 828, 826, 827, 830, 831, 823, 822, 821, 820, 824, 825, 754, 755, 759, 758] +private def clayworthFaceOf_data_c17 : Array (Fin 1008) := #[757, 756, 736, 737, 739, 738, 740, 741, 877, 876, 878, 879, 874, 875, 790, 791, 793, 792, 794, 795, 708, 709, 706, 707, 711, 710, 700, 701, 703, 702, 704, 705, 765, 764, 763, 762, 761, 760, 818, 819, 815, 814, 816, 817, 774, 775, 776, 777, 772, 773, 695, 694, 699, 698, 696, 697, 723, 722, 721, 720, 719, 718, 713, 712, 716, 717, 714, 715, 743, 742, 745, 744, 747, 746, 856, 857, 861, 860, 858, 859, 848, 849, 847, 846, 844, 845, 800, 801, 799, 798, 796, 797, 726, 727, 728, 729, 724, 725, 812, 813, 810, 811, 809, 808, 803, 802, 806, 807, 805, 804, 768, 769, 767, 766, 771, 770, 862, 863, 867, 866, 864, 865, 788, 789, 784, 785, 786, 787, 783, 782, 778, 779, 780, 781, 854, 855, 851, 850, 852, 853, 402, 403, 400, 401, 405, 404, 510, 511, 509, 508, 513, 512, 473, 472, 476, 477, 474, 475, 438, 439, 436, 437, 441, 440, 498, 499, 501, 500, 496, 497, 430, 431, 432, 433, 434, 435, 444, 445, 442, 443, 446, 447, 452, 453, 448, 449, 450, 451, 578, 579, 577, 576, 574, 575, 546, 547, 548, 549, 545, 544, 521, 520, 523, 522, 525, 524, 421, 420, 423, 422, 418, 419, 488, 489, 486, 487, 485, 484, 428, 429, 424, 425, 427, 426, 456, 457, 455, 454, 458, 459, 561, 560, 559, 558, 557, 556, 563, 562, 566, 567, 565, 564, 469, 468, 467, 466, 470, 471, 541, 540, 542, 543, 538, 539, 407, 406, 408, 409, 410, 411, 572, 573, 569, 568, 570, 571, 528, 529, 527, 526, 530, 531, 414, 415, 413, 412, 416, 417, 482, 483, 479, 478, 481, 480, 463, 462, 460, 461, 465, 464, 519, 518, 517, 516, 514, 515, 534, 535, 532, 533, 536, 537, 492, 493, 491, 490, 495, 494, 554, 555, 552, 553, 550, 551, 588, 589, 586, 587, 591, 590, 502, 503, 505, 504, 506, 507, 583, 582, 580, 581, 584, 585, 311, 310, 315, 314, 313, 312, 227, 226, 231, 230, 229, 228, 239, 238, 243, 242, 240, 241, 297, 296, 294, 295, 293, 292, 357, 356, 353, 352, 355, 354, 351, 350, 346, 347, 348, 349, 362, 363, 359, 358, 360, 361, 365, 364, 367, 366, 369, 368, 316, 317, 321, 320, 319, 318, 302, 303, 298, 299, 300, 301, 386, 387, 384, 385, 383, 382, 290, 291, 286, 287, 289, 288, 393, 392, 389, 388, 390, 391, 215, 214, 217, 216, 219, 218, 284, 285, 281, 280, 283, 282, 335, 334, 339, 338, 336, 337, 327, 326, 324, 325, 322, 323, 307, 306, 308, 309, 305, 304, 396, 397, 394, 395, 398, 399, 247, 246, 248, 249, 244, 245, 377, 376, 381, 380, 378, 379, 340, 341, 343, 342, 345, 344, 274, 275, 279, 278, 276, 277, 333, 332, 329, 328, 331, 330, 261, 260, 256, 257, 258, 259, 271, 270, 272, 273, 268, 269, 223, 222, 225, 224, 221, 220, 208, 209, 210, 211, 212, 213] +private def clayworthFaceOf_data_c18 : Array (Fin 1008) := #[234, 235, 236, 237, 232, 233, 263, 262, 267, 266, 265, 264, 371, 370, 373, 372, 375, 374, 253, 252, 255, 254, 250, 251, 404, 405, 401, 400, 403, 402, 421, 420, 418, 419, 423, 422, 589, 588, 591, 590, 586, 587, 476, 477, 475, 474, 473, 472, 454, 455, 458, 459, 457, 456, 471, 470, 468, 469, 466, 467, 520, 521, 524, 525, 522, 523, 488, 489, 485, 484, 486, 487, 533, 532, 536, 537, 534, 535, 481, 480, 482, 483, 479, 478, 564, 565, 567, 566, 562, 563, 406, 407, 410, 411, 408, 409, 443, 442, 446, 447, 444, 445, 440, 441, 437, 436, 439, 438, 465, 464, 460, 461, 463, 462, 530, 531, 526, 527, 528, 529, 499, 498, 500, 501, 496, 497, 428, 429, 427, 426, 424, 425, 559, 558, 557, 556, 560, 561, 492, 493, 494, 495, 490, 491, 577, 576, 579, 578, 575, 574, 570, 571, 573, 572, 569, 568, 517, 516, 519, 518, 514, 515, 538, 539, 542, 543, 540, 541, 452, 453, 451, 450, 449, 448, 552, 553, 555, 554, 551, 550, 513, 512, 510, 511, 509, 508, 583, 582, 584, 585, 581, 580, 547, 546, 544, 545, 549, 548, 434, 435, 432, 433, 430, 431, 504, 505, 503, 502, 506, 507, 412, 413, 415, 414, 416, 417, 238, 239, 240, 241, 242, 243, 237, 236, 233, 232, 235, 234, 250, 251, 252, 253, 254, 255, 249, 248, 244, 245, 246, 247, 315, 314, 312, 313, 310, 311, 258, 259, 261, 260, 256, 257, 283, 282, 285, 284, 280, 281, 270, 271, 268, 269, 272, 273, 294, 295, 296, 297, 292, 293, 226, 227, 228, 229, 230, 231, 326, 327, 322, 323, 324, 325, 385, 384, 382, 383, 386, 387, 334, 335, 336, 337, 339, 338, 209, 208, 212, 213, 210, 211, 220, 221, 223, 222, 225, 224, 371, 370, 372, 373, 375, 374, 298, 299, 302, 303, 300, 301, 356, 357, 352, 353, 354, 355, 265, 264, 266, 267, 262, 263, 217, 216, 214, 215, 218, 219, 288, 289, 287, 286, 291, 290, 318, 319, 317, 316, 320, 321, 380, 381, 376, 377, 378, 379, 361, 360, 363, 362, 358, 359, 340, 341, 345, 344, 343, 342, 277, 276, 275, 274, 278, 279, 398, 399, 394, 395, 396, 397, 308, 309, 304, 305, 307, 306, 330, 331, 328, 329, 332, 333, 350, 351, 346, 347, 348, 349, 391, 390, 389, 388, 392, 393, 366, 367, 364, 365, 368, 369, 945, 944, 944, 945, 944, 945, 1001, 1000, 998, 999, 996, 997, 974, 975, 976, 977, 978, 979, 948, 949, 946, 947, 950, 951, 984, 985, 986, 987, 988, 989, 1007, 1006, 1006, 1007, 1007, 1006, 984, 985, 986, 987, 989, 988, 973, 972, 972, 973, 972, 973, 980, 981, 981, 980, 980, 981, 946, 947, 951, 950, 948, 949, 1003, 1002, 1003, 1002, 1002, 1003, 984, 985, 986, 987, 988, 989, 963, 962, 961, 960, 964, 965, 958, 959, 958, 959, 959, 958, 974, 975, 978, 979, 976, 977, 969, 968] +private def clayworthFaceOf_data_c19 : Array (Fin 1008) := #[966, 967, 970, 971, 964, 965, 963, 962, 961, 960, 994, 995, 993, 992, 990, 991, 994, 995, 993, 992, 990, 991, 946, 947, 948, 949, 950, 951, 998, 999, 996, 997, 1000, 1001, 976, 977, 978, 979, 974, 975, 969, 968, 970, 971, 967, 966, 1000, 1001, 996, 997, 999, 998, 965, 964, 960, 961, 963, 962, 982, 983, 983, 982, 982, 983, 955, 954, 956, 957, 952, 953, 953, 952, 957, 956, 954, 955, 968, 969, 971, 970, 966, 967, 992, 993, 995, 994, 991, 990, 1005, 1004, 1004, 1005, 1004, 1005, 956, 957, 953, 952, 955, 954, 874, 875, 877, 876, 878, 879, 783, 782, 780, 781, 778, 779, 735, 734, 733, 732, 730, 731, 831, 830, 827, 826, 829, 828, 767, 766, 771, 770, 769, 768, 763, 762, 761, 760, 765, 764, 790, 791, 794, 795, 793, 792, 786, 787, 784, 785, 788, 789, 691, 690, 693, 692, 689, 688, 832, 833, 834, 835, 836, 837, 807, 806, 803, 802, 805, 804, 869, 868, 871, 870, 873, 872, 852, 853, 854, 855, 850, 851, 713, 712, 715, 714, 716, 717, 865, 864, 866, 867, 863, 862, 748, 749, 751, 750, 752, 753, 824, 825, 820, 821, 822, 823, 839, 838, 841, 840, 843, 842, 777, 776, 774, 775, 772, 773, 721, 720, 719, 718, 722, 723, 706, 707, 711, 710, 709, 708, 798, 799, 801, 800, 797, 796, 726, 727, 728, 729, 724, 725, 757, 756, 754, 755, 759, 758, 816, 817, 814, 815, 819, 818, 858, 859, 861, 860, 856, 857, 745, 744, 742, 743, 747, 746, 695, 694, 696, 697, 699, 698, 813, 812, 808, 809, 811, 810, 848, 849, 844, 845, 846, 847, 702, 703, 704, 705, 700, 701, 740, 741, 737, 736, 738, 739, 18, 19, 17, 16, 20, 21, 76, 77, 78, 79, 81, 80, 100, 101, 104, 105, 102, 103, 167, 166, 169, 168, 171, 170, 36, 37, 34, 35, 38, 39, 141, 140, 138, 139, 137, 136, 86, 87, 82, 83, 85, 84, 46, 47, 48, 49, 50, 51, 58, 59, 61, 60, 62, 63, 52, 53, 54, 55, 56, 57, 111, 110, 107, 106, 109, 108, 161, 160, 163, 162, 165, 164, 155, 154, 156, 157, 158, 159, 70, 71, 75, 74, 72, 73, 150, 151, 148, 149, 152, 153, 98, 99, 96, 97, 94, 95, 30, 31, 28, 29, 32, 33, 196, 197, 199, 198, 201, 200, 128, 129, 127, 126, 125, 124, 22, 23, 26, 27, 25, 24, 179, 178, 182, 183, 181, 180, 90, 91, 93, 92, 88, 89, 40, 41, 45, 44, 43, 42, 192, 193, 190, 191, 195, 194, 116, 117, 114, 115, 112, 113, 188, 189, 187, 186, 185, 184, 147, 146, 143, 142, 144, 145, 135, 134, 130, 131, 132, 133, 66, 67, 64, 65, 68, 69, 206, 207, 202, 203, 205, 204, 118, 119, 121, 120, 122, 123, 174, 175, 172, 173, 176, 177, 881, 880, 880, 881, 880, 881, 919, 918, 917, 916, 915, 914, 886, 887, 882, 883] +private def clayworthFaceOf_data_c20 : Array (Fin 1008) := #[884, 885, 893, 892, 890, 891, 889, 888, 901, 900, 904, 905, 902, 903, 935, 934, 934, 935, 934, 935, 897, 896, 898, 899, 895, 894, 898, 899, 895, 894, 897, 896, 893, 892, 889, 888, 891, 890, 922, 923, 923, 922, 922, 923, 932, 933, 933, 932, 933, 932, 939, 938, 937, 936, 940, 941, 925, 924, 926, 927, 929, 928, 926, 927, 925, 924, 929, 928, 918, 919, 915, 914, 916, 917, 906, 907, 906, 907, 907, 906, 893, 892, 889, 888, 891, 890, 942, 943, 943, 942, 942, 943, 904, 905, 901, 900, 903, 902, 886, 887, 884, 885, 883, 882, 884, 885, 886, 887, 883, 882, 908, 909, 913, 912, 910, 911, 895, 894, 899, 898, 897, 896, 938, 939, 940, 941, 937, 936, 912, 913, 909, 908, 911, 910, 918, 919, 915, 914, 916, 917, 924, 925, 926, 927, 928, 929, 941, 940, 936, 937, 938, 939, 920, 921, 921, 920, 921, 920, 905, 904, 900, 901, 903, 902, 912, 913, 911, 910, 909, 908, 930, 931, 931, 930, 930, 931, 401, 400, 403, 402, 404, 405, 548, 549, 546, 547, 544, 545, 434, 435, 433, 432, 431, 430, 441, 440, 436, 437, 439, 438, 506, 507, 502, 503, 505, 504, 573, 572, 569, 568, 571, 570, 512, 513, 510, 511, 508, 509, 536, 537, 534, 535, 533, 532, 550, 551, 554, 555, 552, 553, 540, 541, 543, 542, 538, 539, 579, 578, 574, 575, 576, 577, 445, 444, 447, 446, 442, 443, 582, 583, 580, 581, 584, 585, 498, 499, 496, 497, 501, 500, 410, 411, 408, 409, 407, 406, 418, 419, 420, 421, 422, 423, 470, 471, 467, 466, 469, 468, 495, 494, 493, 492, 491, 490, 521, 520, 522, 523, 525, 524, 477, 476, 475, 474, 472, 473, 591, 590, 587, 586, 589, 588, 453, 452, 448, 449, 450, 451, 458, 459, 455, 454, 456, 457, 565, 564, 563, 562, 566, 567, 484, 485, 486, 487, 489, 488, 412, 413, 414, 415, 416, 417, 483, 482, 478, 479, 480, 481, 428, 429, 427, 426, 424, 425, 530, 531, 528, 529, 526, 527, 465, 464, 463, 462, 461, 460, 557, 556, 561, 560, 559, 558, 515, 514, 518, 519, 516, 517, 404, 405, 401, 400, 403, 402, 490, 491, 493, 492, 494, 495, 510, 511, 509, 508, 513, 512, 466, 467, 468, 469, 470, 471, 487, 486, 484, 485, 489, 488, 585, 584, 581, 580, 583, 582, 522, 523, 525, 524, 521, 520, 417, 416, 413, 412, 415, 414, 515, 514, 517, 516, 519, 518, 555, 554, 551, 550, 552, 553, 536, 537, 532, 533, 534, 535, 560, 561, 558, 559, 556, 557, 500, 501, 499, 498, 496, 497, 540, 541, 539, 538, 543, 542, 422, 423, 418, 419, 420, 421, 474, 475, 472, 473, 477, 476, 529, 528, 526, 527, 531, 530, 578, 579, 574, 575, 576, 577, 566, 567, 565, 564, 562, 563, 483, 482, 478, 479, 481, 480, 407, 406, 410, 411, 408, 409, 502, 503, 505, 504, 507, 506] +private def clayworthFaceOf_data_c21 : Array (Fin 1008) := #[464, 465, 462, 463, 460, 461, 549, 548, 544, 545, 547, 546, 569, 568, 570, 571, 573, 572, 444, 445, 446, 447, 443, 442, 441, 440, 439, 438, 437, 436, 457, 456, 459, 458, 455, 454, 591, 590, 586, 587, 589, 588, 435, 434, 430, 431, 433, 432, 450, 451, 452, 453, 448, 449, 426, 427, 424, 425, 428, 429, 849, 848, 845, 844, 847, 846, 815, 814, 817, 816, 818, 819, 781, 780, 782, 783, 778, 779, 700, 701, 704, 705, 703, 702, 802, 803, 805, 804, 806, 807, 694, 695, 698, 699, 697, 696, 719, 718, 721, 720, 722, 723, 726, 727, 725, 724, 729, 728, 746, 747, 744, 745, 743, 742, 859, 858, 857, 856, 861, 860, 737, 736, 740, 741, 738, 739, 827, 826, 831, 830, 828, 829, 758, 759, 757, 756, 755, 754, 712, 713, 714, 715, 716, 717, 770, 771, 769, 768, 766, 767, 732, 733, 735, 734, 730, 731, 869, 868, 873, 872, 870, 871, 774, 775, 773, 772, 777, 776, 842, 843, 840, 841, 839, 838, 690, 691, 692, 693, 688, 689, 710, 711, 708, 709, 706, 707, 836, 837, 833, 832, 835, 834, 798, 799, 796, 797, 800, 801, 750, 751, 748, 749, 752, 753, 788, 789, 784, 785, 786, 787, 825, 824, 823, 822, 821, 820, 762, 763, 764, 765, 760, 761, 855, 854, 851, 850, 853, 852, 876, 877, 875, 874, 879, 878, 791, 790, 792, 793, 795, 794, 809, 808, 813, 812, 810, 811, 864, 865, 866, 867, 862, 863, 404, 405, 402, 403, 401, 400, 579, 578, 575, 574, 576, 577, 503, 502, 505, 504, 507, 506, 462, 463, 460, 461, 464, 465, 418, 419, 423, 422, 420, 421, 584, 585, 583, 582, 581, 580, 561, 560, 558, 559, 556, 557, 417, 416, 412, 413, 415, 414, 516, 517, 514, 515, 518, 519, 472, 473, 475, 474, 477, 476, 549, 548, 547, 546, 545, 544, 587, 586, 589, 588, 591, 590, 407, 406, 408, 409, 410, 411, 536, 537, 534, 535, 533, 532, 467, 466, 468, 469, 470, 471, 436, 437, 438, 439, 440, 441, 487, 486, 484, 485, 489, 488, 426, 427, 424, 425, 428, 429, 512, 513, 510, 511, 508, 509, 434, 435, 433, 432, 431, 430, 500, 501, 499, 498, 497, 496, 458, 459, 456, 457, 454, 455, 483, 482, 478, 479, 480, 481, 524, 525, 522, 523, 521, 520, 491, 490, 494, 495, 493, 492, 571, 570, 568, 569, 572, 573, 529, 528, 530, 531, 526, 527, 451, 450, 452, 453, 449, 448, 442, 443, 445, 444, 447, 446, 553, 552, 555, 554, 551, 550, 539, 538, 541, 540, 543, 542, 564, 565, 563, 562, 567, 566, 607, 606, 604, 605, 609, 608, 629, 628, 631, 630, 633, 632, 678, 679, 681, 680, 676, 677, 663, 662, 660, 661, 659, 658, 673, 672, 670, 671, 675, 674, 645, 644, 643, 642, 640, 641, 674, 675, 671, 670, 673, 672, 639, 638, 635, 634, 636, 637, 667, 666, 664, 665, 669, 668, 596, 597] +private def clayworthFaceOf_data_c22 : Array (Fin 1008) := #[593, 592, 595, 594, 610, 611, 615, 614, 613, 612, 683, 682, 685, 684, 686, 687, 652, 653, 656, 657, 655, 654, 634, 635, 638, 639, 637, 636, 656, 657, 654, 655, 652, 653, 618, 619, 621, 620, 616, 617, 609, 608, 605, 604, 606, 607, 659, 658, 663, 662, 660, 661, 687, 686, 685, 684, 683, 682, 650, 651, 648, 649, 647, 646, 646, 647, 648, 649, 650, 651, 668, 669, 666, 667, 664, 665, 625, 624, 626, 627, 623, 622, 632, 633, 630, 631, 628, 629, 602, 603, 598, 599, 600, 601, 611, 610, 613, 612, 614, 615, 677, 676, 680, 681, 679, 678, 599, 598, 600, 601, 603, 602, 642, 643, 640, 641, 644, 645, 626, 627, 624, 625, 622, 623, 595, 594, 596, 597, 593, 592, 621, 620, 617, 616, 618, 619, 224, 225, 222, 223, 221, 220, 331, 330, 333, 332, 329, 328, 283, 282, 285, 284, 280, 281, 305, 304, 308, 309, 307, 306, 227, 226, 231, 230, 229, 228, 297, 296, 293, 292, 295, 294, 350, 351, 347, 346, 349, 348, 353, 352, 356, 357, 354, 355, 361, 360, 362, 363, 359, 358, 394, 395, 396, 397, 399, 398, 299, 298, 303, 302, 301, 300, 210, 211, 209, 208, 212, 213, 341, 340, 342, 343, 345, 344, 314, 315, 310, 311, 313, 312, 238, 239, 242, 243, 241, 240, 390, 391, 393, 392, 389, 388, 237, 236, 235, 234, 233, 232, 371, 370, 372, 373, 375, 374, 277, 276, 278, 279, 275, 274, 268, 269, 270, 271, 272, 273, 254, 255, 253, 252, 250, 251, 386, 387, 382, 383, 385, 384, 364, 365, 367, 366, 369, 368, 381, 380, 377, 376, 379, 378, 257, 256, 259, 258, 260, 261, 289, 288, 286, 287, 290, 291, 326, 327, 324, 325, 322, 323, 319, 318, 316, 317, 321, 320, 264, 265, 266, 267, 263, 262, 335, 334, 336, 337, 339, 338, 248, 249, 246, 247, 244, 245, 214, 215, 217, 216, 219, 218, 217, 216, 214, 215, 218, 219, 395, 394, 398, 399, 397, 396, 324, 325, 327, 326, 323, 322, 299, 298, 301, 300, 303, 302, 342, 343, 345, 344, 341, 340, 335, 334, 339, 338, 337, 336, 358, 359, 360, 361, 363, 362, 330, 331, 332, 333, 329, 328, 381, 380, 379, 378, 377, 376, 318, 319, 321, 320, 317, 316, 263, 262, 265, 264, 267, 266, 225, 224, 223, 222, 221, 220, 261, 260, 259, 258, 257, 256, 370, 371, 372, 373, 375, 374, 305, 304, 308, 309, 307, 306, 269, 268, 273, 272, 270, 271, 313, 312, 311, 310, 314, 315, 239, 238, 241, 240, 243, 242, 383, 382, 385, 384, 387, 386, 249, 248, 247, 246, 245, 244, 232, 233, 236, 237, 234, 235, 367, 366, 368, 369, 365, 364, 347, 346, 349, 348, 351, 350, 212, 213, 208, 209, 211, 210, 254, 255, 251, 250, 252, 253, 294, 295, 297, 296, 293, 292, 388, 389, 390, 391, 392, 393, 287, 286, 288, 289, 290, 291, 282, 283, 280, 281] +private def clayworthFaceOf_data_c23 : Array (Fin 1008) := #[284, 285, 226, 227, 231, 230, 229, 228, 355, 354, 353, 352, 357, 356, 278, 279, 276, 277, 274, 275, 20, 21, 16, 17, 19, 18, 78, 79, 80, 81, 77, 76, 53, 52, 54, 55, 57, 56, 176, 177, 173, 172, 175, 174, 109, 108, 107, 106, 111, 110, 126, 127, 124, 125, 128, 129, 95, 94, 96, 97, 98, 99, 88, 89, 93, 92, 91, 90, 180, 181, 182, 183, 178, 179, 187, 186, 185, 184, 188, 189, 118, 119, 123, 122, 120, 121, 49, 48, 51, 50, 46, 47, 22, 23, 26, 27, 24, 25, 165, 164, 161, 160, 162, 163, 144, 145, 146, 147, 142, 143, 45, 44, 43, 42, 41, 40, 104, 105, 103, 102, 101, 100, 31, 30, 33, 32, 28, 29, 156, 157, 158, 159, 155, 154, 197, 196, 200, 201, 198, 199, 83, 82, 85, 84, 87, 86, 202, 203, 204, 205, 206, 207, 151, 150, 149, 148, 152, 153, 135, 134, 132, 133, 130, 131, 112, 113, 116, 117, 115, 114, 61, 60, 58, 59, 62, 63, 141, 140, 137, 136, 138, 139, 167, 166, 169, 168, 171, 170, 68, 69, 66, 67, 65, 64, 191, 190, 194, 195, 192, 193, 34, 35, 38, 39, 36, 37, 73, 72, 74, 75, 71, 70, 880, 881, 881, 880, 880, 881, 911, 910, 912, 913, 909, 908, 937, 936, 939, 938, 941, 940, 918, 919, 916, 917, 914, 915, 930, 931, 931, 930, 930, 931, 924, 925, 928, 929, 926, 927, 927, 926, 925, 924, 929, 928, 933, 932, 932, 933, 933, 932, 884, 885, 886, 887, 883, 882, 906, 907, 907, 906, 906, 907, 900, 901, 903, 902, 905, 904, 900, 901, 902, 903, 905, 904, 921, 920, 921, 920, 920, 921, 896, 897, 898, 899, 894, 895, 934, 935, 934, 935, 935, 934, 917, 916, 914, 915, 919, 918, 884, 885, 883, 882, 886, 887, 888, 889, 891, 890, 893, 892, 941, 940, 939, 938, 937, 936, 916, 917, 915, 914, 919, 918, 890, 891, 889, 888, 892, 893, 896, 897, 895, 894, 899, 898, 928, 929, 926, 927, 924, 925, 910, 911, 913, 912, 908, 909, 900, 901, 902, 903, 904, 905, 939, 938, 941, 940, 936, 937, 912, 913, 910, 911, 908, 909, 923, 922, 922, 923, 922, 923, 894, 895, 896, 897, 898, 899, 942, 943, 942, 943, 943, 942, 891, 890, 888, 889, 893, 892, 882, 883, 884, 885, 886, 887, 404, 405, 400, 401, 402, 403, 456, 457, 455, 454, 459, 458, 569, 568, 570, 571, 573, 572, 529, 528, 526, 527, 531, 530, 408, 409, 407, 406, 410, 411, 560, 561, 558, 559, 557, 556, 538, 539, 541, 540, 542, 543, 585, 584, 580, 581, 582, 583, 521, 520, 522, 523, 525, 524, 471, 470, 467, 466, 469, 468, 517, 516, 514, 515, 519, 518, 413, 412, 417, 416, 414, 415, 424, 425, 426, 427, 428, 429, 588, 589, 590, 591, 587, 586, 553, 552, 554, 555, 551, 550, 490, 491, 492, 493, 494, 495] +private def clayworthFaceOf_data_c24 : Array (Fin 1008) := #[534, 535, 533, 532, 536, 537, 510, 511, 513, 512, 509, 508, 432, 433, 434, 435, 431, 430, 461, 460, 463, 462, 464, 465, 419, 418, 423, 422, 421, 420, 451, 450, 448, 449, 452, 453, 440, 441, 437, 436, 439, 438, 545, 544, 549, 548, 547, 546, 565, 564, 563, 562, 566, 567, 505, 504, 507, 506, 503, 502, 443, 442, 445, 444, 446, 447, 496, 497, 498, 499, 500, 501, 579, 578, 575, 574, 576, 577, 487, 486, 484, 485, 489, 488, 480, 481, 482, 483, 479, 478, 472, 473, 474, 475, 476, 477] + +private def clayworthFaceOf_data : Array (Fin 1008) := + clayworthFaceOf_data_c0 ++ clayworthFaceOf_data_c1 ++ clayworthFaceOf_data_c2 ++ clayworthFaceOf_data_c3 ++ clayworthFaceOf_data_c4 ++ clayworthFaceOf_data_c5 ++ clayworthFaceOf_data_c6 ++ clayworthFaceOf_data_c7 ++ clayworthFaceOf_data_c8 ++ clayworthFaceOf_data_c9 ++ clayworthFaceOf_data_c10 ++ clayworthFaceOf_data_c11 ++ clayworthFaceOf_data_c12 ++ clayworthFaceOf_data_c13 ++ clayworthFaceOf_data_c14 ++ clayworthFaceOf_data_c15 ++ clayworthFaceOf_data_c16 ++ clayworthFaceOf_data_c17 ++ clayworthFaceOf_data_c18 ++ clayworthFaceOf_data_c19 ++ clayworthFaceOf_data_c20 ++ clayworthFaceOf_data_c21 ++ clayworthFaceOf_data_c22 ++ clayworthFaceOf_data_c23 ++ clayworthFaceOf_data_c24 + +private theorem clayworthVertexOf_data_size : clayworthVertexOf_data.size = 12096 := by native_decide +private theorem clayworthEdgeOf_data_size : clayworthEdgeOf_data.size = 12096 := by native_decide +private theorem clayworthFaceOf_data_size : clayworthFaceOf_data.size = 12096 := by native_decide + +/-! ## Coset representatives -/ + +private def clayworthVertexRep_data_c0 : Array (Fin 12096) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691] +private def clayworthVertexRep_data_c1 : Array (Fin 12096) := #[692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383] +private def clayworthVertexRep_data_c2 : Array (Fin 12096) := #[1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075] +private def clayworthVertexRep_data_c3 : Array (Fin 12096) := #[2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767] +private def clayworthVertexRep_data_c4 : Array (Fin 12096) := #[2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459] +private def clayworthVertexRep_data_c5 : Array (Fin 12096) := #[3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4224, 4225, 4226, 4227, 4228, 4229, 4230, 4231, 4232, 4233, 4234, 4235, 4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244, 4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256, 4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265, 4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292, 4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301, 4302, 4303, 4304, 4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316, 4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325, 4326, 4327, 4328, 4329, 4330, 4331, 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343] +private def clayworthVertexRep_data_c6 : Array (Fin 12096) := #[4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352, 4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379, 4380, 4381, 4382, 4383, 4384, 4385, 4386, 4387, 4388, 4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397, 4398, 4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406, 4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415, 4416, 4417, 4418, 4419, 4420, 4421, 4422, 4423, 4424, 4425, 4426, 4427, 4428, 4429, 4430, 4431, 4432, 4433, 4434, 4435, 4436, 4437, 4438, 4439, 4440, 4441, 4442, 4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451, 4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460, 4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469, 4470, 4471, 4472, 4473, 4474, 4475, 4476, 4477, 4478, 4479, 4480, 4481, 4482, 4483, 4484, 4485, 4486, 4487, 4488, 4489, 4490, 4491, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4499, 4500, 4501, 4502, 4503, 4504, 4505, 4506, 4507, 4508, 4509, 4510, 4511, 4512, 4513, 4514, 4515, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535, 4536, 4537, 4538, 4539, 4540, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548, 4549, 4550, 4551, 4552, 4553, 4554, 4555, 4556, 4557, 4558, 4559, 4560, 4561, 4562, 4563, 4564, 4565, 4566, 4567, 4568, 4569, 4570, 4571, 4572, 4573, 4574, 4575, 4576, 4577, 4578, 4579, 4580, 4581, 4582, 4583, 4584, 4585, 4586, 4587, 4588, 4589, 4590, 4591, 4592, 4593, 4594, 4595, 4596, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4604, 4605, 4606, 4607, 4800, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4808, 4809, 4810, 4811, 4812, 4813, 4814, 4815, 4816, 4817, 4818, 4819, 4820, 4821, 4822, 4823, 4824, 4825, 4826, 4827, 4828, 4829, 4830, 4831, 4832, 4833, 4834, 4835, 4836, 4837, 4838, 4839, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856, 4857, 4858, 4859, 4860, 4861, 4862, 4863, 4864, 4865, 4866, 4867, 4868, 4869, 4870, 4871, 4872, 4873, 4874, 4875, 4876, 4877, 4878, 4879, 4880, 4881, 4882, 4883, 4884, 4885, 4886, 4887, 4888, 4889, 4890, 4891, 4892, 4893, 4894, 4895, 4896, 4897, 4898, 4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4907, 4908, 4909, 4910, 4911, 4912, 4913, 4914, 4915, 4916, 4917, 4918, 4919, 4920, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928, 4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939, 4940, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4948, 4949, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957, 4958, 4959, 4960, 4961, 4962, 4963, 4964, 4965, 4966, 4967, 4968, 4969, 4970, 4971, 4972, 4973, 4974, 4975, 4976, 4977, 4978, 4979, 4980, 4981, 4982, 4983, 4984, 4985, 4986, 4987, 4988, 4989, 4990, 4991, 5376, 5377, 5378, 5379, 5380, 5381, 5382, 5383, 5384, 5385, 5386, 5387, 5388, 5389, 5390, 5391, 5392, 5393, 5394, 5395, 5396, 5397, 5398, 5399, 5400, 5401, 5402, 5403, 5404, 5405, 5406, 5407, 5408, 5409, 5410, 5411, 5412, 5413, 5414, 5415, 5416, 5417, 5418, 5419] +private def clayworthVertexRep_data_c7 : Array (Fin 12096) := #[5420, 5421, 5422, 5423, 5424, 5425, 5426, 5427, 5428, 5429, 5430, 5431, 5432, 5433, 5434, 5435, 5436, 5437, 5438, 5439, 5440, 5441, 5442, 5443, 5444, 5445, 5446, 5447, 5448, 5449, 5450, 5451, 5452, 5453, 5454, 5455, 5456, 5457, 5458, 5459, 5460, 5461, 5462, 5463, 5464, 5465, 5466, 5467, 5468, 5469, 5470, 5471, 5472, 5473, 5474, 5475, 5476, 5477, 5478, 5479, 5480, 5481, 5482, 5483, 5484, 5485, 5486, 5487, 5488, 5489, 5490, 5491, 5492, 5493, 5494, 5495, 5496, 5497, 5498, 5499, 5500, 5501, 5502, 5503, 5504, 5505, 5506, 5507, 5508, 5509, 5510, 5511, 5512, 5513, 5514, 5515, 5516, 5517, 5518, 5519, 5520, 5521, 5522, 5523, 5524, 5525, 5526, 5527, 5528, 5529, 5530, 5531, 5532, 5533, 5534, 5535, 5536, 5537, 5538, 5539, 5540, 5541, 5542, 5543, 5544, 5545, 5546, 5547, 5548, 5549, 5550, 5551, 5552, 5553, 5554, 5555, 5556, 5557, 5558, 5559, 5560, 5561, 5562, 5563, 5564, 5565, 5566, 5567, 5760, 5761, 5762, 5763, 5764, 5765, 5766, 5767, 5768, 5769, 5770, 5771, 5772, 5773, 5774, 5775, 5776, 5777, 5778, 5779, 5780, 5781, 5782, 5783, 5784, 5785, 5786, 5787, 5788, 5789, 5790, 5791, 5792, 5793, 5794, 5795, 5796, 5797, 5798, 5799, 5800, 5801, 5802, 5803, 5804, 5805, 5806, 5807, 5808, 5809, 5810, 5811, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828, 5829, 5830, 5831, 5832, 5833, 5834, 5835, 5836, 5837, 5838, 5839, 5840, 5841, 5842, 5843, 5844, 5845, 5846, 5847, 5848, 5849, 5850, 5851, 5852, 5853, 5854, 5855, 5856, 5857, 5858, 5859, 5860, 5861, 5862, 5863, 5864, 5865, 5866, 5867, 5868, 5869, 5870, 5871, 5872, 5873, 5874, 5875, 5876, 5877, 5878, 5879, 5880, 5881, 5882, 5883, 5884, 5885, 5886, 5887, 5888, 5889, 5890, 5891, 5892, 5893, 5894, 5895, 5896, 5897, 5898, 5899, 5900, 5901, 5902, 5903, 5904, 5905, 5906, 5907, 5908, 5909, 5910, 5911, 5912, 5913, 5914, 5915, 5916, 5917, 5918, 5919, 5920, 5921, 5922, 5923, 5924, 5925, 5926, 5927, 5928, 5929, 5930, 5931, 5932, 5933, 5934, 5935, 5936, 5937, 5938, 5939, 5940, 5941, 5942, 5943, 5944, 5945, 5946, 5947, 5948, 5949, 5950, 5951, 8832, 8833, 8834, 8835, 8836, 8837, 8838, 8839, 8840, 8841, 8842, 8843, 8844, 8845, 8846, 8847, 8848, 8849, 8850, 8851, 8852, 8853, 8854, 8855, 8856, 8857, 8858, 8859, 8860, 8861, 8862, 8863, 8864, 8865, 8866, 8867, 8868, 8869, 8870, 8871, 8872, 8873, 8874, 8875, 8876, 8877, 8878, 8879, 8880, 8881, 8882, 8883, 8884, 8885, 8886, 8887, 8888, 8889, 8890, 8891, 8892, 8893, 8894, 8895, 8896, 8897, 8898, 8899, 8900, 8901, 8902, 8903, 8904, 8905, 8906, 8907, 8908, 8909, 8910, 8911, 8912, 8913, 8914, 8915, 8916, 8917, 8918, 8919, 8920, 8921, 8922, 8923, 8924, 8925, 8926, 8927, 8928, 8929, 8930, 8931, 8932, 8933, 8934, 8935, 8936, 8937, 8938, 8939, 8940, 8941, 8942, 8943, 8944, 8945, 8946, 8947, 8948, 8949, 8950, 8951, 8952, 8953, 8954, 8955, 8956, 8957, 8958, 8959, 8960, 8961, 8962, 8963, 8964, 8965, 8966, 8967, 8968, 8969, 8970, 8971, 8972, 8973, 8974, 8975, 8976, 8977, 8978, 8979, 8980, 8981, 8982, 8983, 8984, 8985, 8986, 8987, 8988, 8989, 8990, 8991] +private def clayworthVertexRep_data_c8 : Array (Fin 12096) := #[8992, 8993, 8994, 8995, 8996, 8997, 8998, 8999, 9000, 9001, 9002, 9003, 9004, 9005, 9006, 9007, 9008, 9009, 9010, 9011, 9012, 9013, 9014, 9015, 9016, 9017, 9018, 9019, 9020, 9021, 9022, 9023] + +private def clayworthVertexRep_data : Array (Fin 12096) := + clayworthVertexRep_data_c0 ++ clayworthVertexRep_data_c1 ++ clayworthVertexRep_data_c2 ++ clayworthVertexRep_data_c3 ++ clayworthVertexRep_data_c4 ++ clayworthVertexRep_data_c5 ++ clayworthVertexRep_data_c6 ++ clayworthVertexRep_data_c7 ++ clayworthVertexRep_data_c8 + +private def clayworthEdgeRep_data_c0 : Array (Fin 12096) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691] +private def clayworthEdgeRep_data_c1 : Array (Fin 12096) := #[692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1344, 1345, 1346, 1347, 1348, 1349, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1380, 1381, 1382, 1383, 1384, 1385, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401] +private def clayworthEdgeRep_data_c2 : Array (Fin 12096) := #[1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1412, 1413, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1446, 1447, 1448, 1449, 1450, 1451, 1458, 1459, 1460, 1461, 1462, 1463, 1476, 1478, 1479, 1494, 1496, 1497, 1518, 1519, 1520, 1521, 1522, 1523, 1530, 1531, 1534, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1968, 1969, 1970, 1971, 1972, 1973, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997] +private def clayworthEdgeRep_data_c3 : Array (Fin 12096) := #[2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2058, 2059, 2060, 2061, 2062, 2063, 2070, 2071, 2072, 2073, 2074, 2075, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767] +private def clayworthEdgeRep_data_c4 : Array (Fin 12096) := #[2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459] +private def clayworthEdgeRep_data_c5 : Array (Fin 12096) := #[3460, 3461, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3546, 3547, 3548, 3549, 3550, 3551, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055] +private def clayworthEdgeRep_data_c6 : Array (Fin 12096) := #[4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100, 4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109, 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118, 4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127, 4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136, 4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145, 4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154, 4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163, 4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172, 4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181, 4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190, 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199, 4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208, 4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217, 4218, 4219, 4220, 4221, 4222, 4223, 4224, 4225, 4226, 4227, 4228, 4229, 4230, 4231, 4232, 4233, 4234, 4235, 4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244, 4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256, 4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265, 4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292, 4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301, 4302, 4303, 4304, 4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316, 4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325, 4326, 4327, 4328, 4329, 4330, 4331, 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343, 4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352, 4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379, 4380, 4381, 4382, 4383, 4384, 4385, 4386, 4387, 4388, 4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397, 4398, 4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406, 4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415, 4416, 4417, 4418, 4419, 4420, 4421, 4422, 4423, 4424, 4425, 4426, 4427, 4428, 4429, 4430, 4431, 4432, 4433, 4434, 4435, 4436, 4437, 4438, 4439, 4440, 4441, 4442, 4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451, 4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460, 4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469, 4470, 4471, 4472, 4473, 4474, 4475, 4476, 4477, 4478, 4479, 4480, 4481, 4482, 4483, 4484, 4485, 4486, 4487, 4488, 4489, 4490, 4491, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4499, 4500, 4501, 4502, 4503, 4504, 4505, 4506, 4507, 4508, 4509, 4510, 4511, 4512, 4513, 4514, 4515, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535, 4536, 4537, 4538, 4539, 4540, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548, 4549, 4550, 4551, 4552, 4553, 4554, 4555] +private def clayworthEdgeRep_data_c7 : Array (Fin 12096) := #[4556, 4557, 4558, 4559, 4560, 4561, 4562, 4563, 4564, 4565, 4566, 4567, 4568, 4569, 4570, 4571, 4572, 4573, 4574, 4575, 4576, 4577, 4578, 4579, 4580, 4581, 4582, 4583, 4584, 4585, 4586, 4587, 4588, 4589, 4590, 4591, 4592, 4593, 4594, 4595, 4596, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4604, 4605, 4606, 4607, 4608, 4609, 4610, 4611, 4612, 4613, 4620, 4621, 4622, 4623, 4624, 4625, 4626, 4627, 4628, 4632, 4633, 4634, 4635, 4636, 4637, 4638, 4639, 4640, 4641, 4642, 4643, 4650, 4651, 4652, 4653, 4654, 4655, 4656, 4657, 4658, 4659, 4660, 4661, 4662, 4663, 4664, 4665, 4666, 4667, 4668, 4669, 4670, 4671, 4672, 4673, 4674, 4675, 4676, 4677, 4678, 4679, 4680, 4681, 4682, 4683, 4684, 4685, 4692, 4693, 4694, 4695, 4696, 4697, 4698, 4700, 4701, 4710, 4711, 4712, 4713, 4714, 4715, 4728, 4730, 4731, 4734, 4735, 4736, 4737, 4738, 4739, 4758, 4759, 4760, 4761, 4762, 4763, 4794, 4795, 4796, 4800, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4808, 4809, 4810, 4811, 4812, 4813, 4814, 4815, 4816, 4817, 4818, 4819, 4820, 4821, 4822, 4823, 4824, 4825, 4826, 4827, 4828, 4829, 4830, 4831, 4832, 4833, 4834, 4835, 4836, 4837, 4838, 4839, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856, 4857, 4858, 4859, 4860, 4861, 4862, 4863, 4864, 4865, 4866, 4867, 4868, 4869, 4870, 4871, 4872, 4873, 4874, 4875, 4876, 4877, 4878, 4879, 4880, 4881, 4882, 4883, 4884, 4885, 4886, 4887, 4888, 4889, 4890, 4891, 4892, 4893, 4894, 4895, 4896, 4897, 4898, 4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4907, 4908, 4909, 4910, 4911, 4912, 4913, 4914, 4915, 4916, 4917, 4918, 4919, 4920, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928, 4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939, 4940, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4948, 4949, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957, 4958, 4959, 4960, 4961, 4962, 4963, 4964, 4965, 4966, 4967, 4968, 4969, 4970, 4971, 4972, 4973, 4974, 4975, 4976, 4977, 4978, 4979, 4980, 4981, 4982, 4983, 4984, 4985, 4986, 4987, 4988, 4989, 4990, 4991, 4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999, 5000, 5001, 5002, 5003, 5004, 5005, 5006, 5007, 5008, 5009, 5010, 5011, 5012, 5013, 5014, 5015, 5016, 5017, 5018, 5019, 5020, 5021, 5022, 5023, 5024, 5025, 5026, 5027, 5028, 5029, 5030, 5031, 5032, 5033, 5034, 5035, 5036, 5037, 5038, 5039, 5040, 5041, 5042, 5043, 5044, 5045, 5046, 5047, 5048, 5049, 5050, 5051, 5052, 5053, 5054, 5055, 5056, 5057, 5058, 5059, 5060, 5061, 5062, 5063, 5064, 5065, 5066, 5067, 5068, 5069, 5070, 5071, 5072, 5073, 5074, 5075, 5076, 5077, 5078, 5079, 5080, 5081, 5082, 5083, 5084, 5085, 5086, 5087, 5088, 5089, 5090, 5091, 5092, 5093, 5094, 5095, 5096, 5097, 5098, 5099, 5100, 5101, 5102, 5103, 5104, 5105, 5106, 5107, 5108, 5109, 5110, 5111, 5112, 5113, 5114, 5115, 5116, 5117, 5118, 5119, 5120, 5121, 5122, 5123, 5124, 5125, 5126, 5127, 5128, 5129, 5130, 5131, 5132, 5133, 5134, 5135, 5136, 5137, 5138, 5139, 5140, 5141, 5142, 5143, 5144, 5145, 5146, 5147, 5148, 5149, 5150, 5151] +private def clayworthEdgeRep_data_c8 : Array (Fin 12096) := #[5152, 5153, 5154, 5155, 5156, 5157, 5158, 5159, 5160, 5161, 5162, 5163, 5164, 5165, 5166, 5167, 5168, 5169, 5170, 5171, 5172, 5173, 5174, 5175, 5176, 5177, 5178, 5179, 5180, 5181, 5182, 5183, 5184, 5185, 5186, 5187, 5188, 5189, 5190, 5191, 5192, 5193, 5194, 5195, 5196, 5197, 5198, 5199, 5200, 5201, 5202, 5203, 5204, 5205, 5206, 5207, 5208, 5209, 5210, 5211, 5212, 5213, 5214, 5215, 5216, 5217, 5218, 5219, 5220, 5221, 5222, 5223, 5224, 5225, 5226, 5227, 5228, 5229, 5230, 5231, 5232, 5233, 5234, 5235, 5236, 5237, 5238, 5239, 5240, 5241, 5242, 5243, 5244, 5245, 5246, 5247, 5248, 5249, 5250, 5251, 5252, 5253, 5254, 5255, 5256, 5257, 5258, 5259, 5260, 5261, 5262, 5263, 5264, 5265, 5266, 5267, 5268, 5269, 5270, 5271, 5272, 5273, 5274, 5275, 5276, 5277, 5278, 5279, 5280, 5281, 5282, 5283, 5284, 5285, 5286, 5287, 5288, 5289, 5290, 5291, 5292, 5293, 5294, 5295, 5296, 5297, 5298, 5299, 5300, 5301, 5302, 5303, 5304, 5305, 5306, 5307, 5308, 5309, 5310, 5311, 5312, 5313, 5314, 5315, 5316, 5317, 5318, 5319, 5320, 5321, 5322, 5323, 5324, 5325, 5326, 5327, 5328, 5329, 5330, 5331, 5332, 5333, 5334, 5335, 5336, 5337, 5338, 5339, 5340, 5341, 5342, 5343, 5344, 5345, 5346, 5347, 5348, 5349, 5350, 5351, 5352, 5353, 5354, 5355, 5356, 5357, 5358, 5359, 5360, 5361, 5362, 5363, 5364, 5365, 5366, 5367, 5368, 5369, 5370, 5371, 5372, 5373, 5374, 5375, 5568, 5569, 5570, 5571, 5572, 5573, 5574, 5575, 5576, 5577, 5578, 5579, 5580, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5588, 5589, 5590, 5591, 5592, 5593, 5594, 5595, 5596, 5597, 5598, 5599, 5600, 5601, 5602, 5603, 5604, 5605, 5606, 5607, 5608, 5609, 5610, 5611, 5612, 5613, 5614, 5615, 5616, 5617, 5618, 5619, 5620, 5621, 5622, 5623, 5624, 5625, 5626, 5627, 5628, 5629, 5630, 5631, 5632, 5633, 5634, 5635, 5636, 5637, 5638, 5639, 5640, 5641, 5642, 5643, 5644, 5645, 5646, 5647, 5648, 5649, 5650, 5651, 5652, 5653, 5654, 5655, 5656, 5657, 5658, 5659, 5660, 5661, 5662, 5663, 5664, 5665, 5666, 5667, 5668, 5669, 5670, 5671, 5672, 5673, 5674, 5675, 5676, 5677, 5678, 5679, 5680, 5681, 5682, 5683, 5684, 5685, 5686, 5687, 5688, 5689, 5690, 5691, 5692, 5693, 5694, 5695, 5696, 5697, 5698, 5699, 5700, 5701, 5702, 5703, 5704, 5705, 5706, 5707, 5708, 5709, 5710, 5711, 5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719, 5720, 5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728, 5729, 5730, 5731, 5732, 5733, 5734, 5735, 5736, 5737, 5738, 5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746, 5747, 5748, 5749, 5750, 5751, 5752, 5753, 5754, 5755, 5756, 5757, 5758, 5759, 5760, 5761, 5762, 5763, 5764, 5765, 5766, 5767, 5768, 5769, 5770, 5771, 5778, 5779, 5780, 5781, 5782, 5783, 5784, 5785, 5786, 5787, 5788, 5789, 5796, 5797, 5798, 5799, 5800, 5801, 5802, 5803, 5804, 5805, 5806, 5807, 5814, 5815, 5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828, 5829, 5830, 5831, 5832, 5833, 5834, 5835, 5836, 5837, 5838, 5839, 5840, 5841, 5842, 5843, 5844, 5845, 5846, 5847, 5848, 5849, 5862, 5863, 5864, 5865, 5866, 5867, 5868, 5869, 5870, 5871, 5872, 5873] +private def clayworthEdgeRep_data_c9 : Array (Fin 12096) := #[5904, 5905, 5906, 5907, 5908, 5909, 5922, 5923, 5924, 5925, 5926, 5927, 5952, 5953, 5954, 5955, 5956, 5957, 5958, 5959, 5960, 5961, 5962, 5963, 5964, 5965, 5966, 5967, 5968, 5969, 5970, 5971, 5972, 5973, 5974, 5975, 5976, 5977, 5978, 5979, 5980, 5981, 5982, 5983, 5984, 5985, 5986, 5987, 5988, 5989, 5990, 5991, 5992, 5993, 5994, 5995, 5996, 5997, 5998, 5999, 6000, 6001, 6002, 6003, 6004, 6005, 6006, 6008, 6009, 6012, 6013, 6014, 6015, 6016, 6017, 6036, 6037, 6038, 6039, 6040, 6041, 6042, 6043, 6044, 6045, 6046, 6047, 6054, 6055, 6056, 6057, 6058, 6059, 6066, 6068, 6069, 6084, 6085, 6086, 6087, 6088, 6089, 6090, 6091, 6094, 6138, 6139, 6140, 6720, 6721, 6722, 6723, 6724, 6725, 6726, 6727, 6728, 6729, 6730, 6731, 6732, 6733, 6734, 6735, 6736, 6737, 6738, 6739, 6740, 6741, 6742, 6743, 6744, 6745, 6746, 6747, 6748, 6749, 6750, 6751, 6752, 6753, 6754, 6755, 6756, 6757, 6758, 6759, 6760, 6761, 6762, 6763, 6764, 6765, 6766, 6767, 6768, 6769, 6770, 6771, 6772, 6773, 6774, 6775, 6776, 6777, 6778, 6779, 6780, 6781, 6782, 6783, 6784, 6785, 6786, 6787, 6788, 6789, 6790, 6791, 6792, 6793, 6794, 6795, 6796, 6797, 6798, 6799, 6800, 6801, 6802, 6803, 6804, 6805, 6806, 6807, 6808, 6809, 6810, 6811, 6812, 6813, 6814, 6815, 6816, 6817, 6818, 6819, 6820, 6821, 6822, 6823, 6824, 6825, 6826, 6827, 6828, 6829, 6830, 6831, 6832, 6833, 6834, 6835, 6836, 6837, 6838, 6839, 6840, 6841, 6842, 6843, 6844, 6845, 6846, 6847, 6848, 6849, 6850, 6851, 6852, 6853, 6854, 6855, 6856, 6857, 6858, 6859, 6860, 6861, 6862, 6863, 6864, 6865, 6866, 6867, 6868, 6869, 6870, 6871, 6872, 6873, 6874, 6875, 6876, 6877, 6878, 6879, 6880, 6881, 6882, 6883, 6884, 6885, 6886, 6887, 6888, 6889, 6890, 6891, 6892, 6893, 6894, 6895, 6896, 6897, 6898, 6899, 6900, 6901, 6902, 6903, 6904, 6905, 6906, 6907, 6908, 6909, 6910, 6911, 6912, 6913, 6914, 6915, 6916, 6917, 6918, 6919, 6920, 6921, 6922, 6923, 6924, 6925, 6926, 6927, 6928, 6929, 6930, 6931, 6932, 6933, 6934, 6935, 6936, 6937, 6938, 6939, 6940, 6941, 6942, 6943, 6944, 6945, 6946, 6947, 6948, 6949, 6950, 6951, 6952, 6953, 6954, 6955, 6956, 6957, 6958, 6959, 6960, 6961, 6962, 6963, 6964, 6965, 6966, 6967, 6968, 6969, 6970, 6971, 6972, 6973, 6974, 6975, 6976, 6977, 6978, 6979, 6980, 6981, 6982, 6983, 6984, 6985, 6986, 6987, 6988, 6989, 6990, 6991, 6992, 6993, 6994, 6995, 6996, 6997, 6998, 6999, 7000, 7001, 7002, 7003, 7004, 7005, 7006, 7007, 7008, 7009, 7010, 7011, 7012, 7013, 7014, 7015, 7016, 7017, 7018, 7019, 7020, 7021, 7022, 7023, 7024, 7025, 7026, 7027, 7028, 7029, 7030, 7031, 7032, 7033, 7034, 7035, 7036, 7037, 7038, 7039, 7040, 7041, 7042, 7043, 7044, 7045, 7046, 7047, 7048, 7049, 7050, 7051, 7052, 7053, 7054, 7055, 7056, 7057, 7058, 7059, 7060, 7061, 7062, 7063, 7064, 7065, 7066, 7067, 7068, 7069, 7070, 7071, 7072, 7073, 7074, 7075, 7076, 7077, 7078, 7079, 7080, 7081, 7082, 7083, 7084, 7085, 7086, 7087, 7088, 7089, 7090, 7091, 7092, 7093, 7094, 7095, 7096, 7097, 7098, 7099, 7100, 7101, 7102, 7103, 7104, 7105, 7106, 7107, 7108, 7109, 7110, 7111] +private def clayworthEdgeRep_data_c10 : Array (Fin 12096) := #[7112, 7113, 7114, 7115, 7116, 7117, 7118, 7119, 7120, 7121, 7122, 7123, 7124, 7125, 7126, 7127, 7128, 7129, 7130, 7131, 7132, 7133, 7134, 7135, 7136, 7137, 7138, 7139, 7140, 7141, 7142, 7143, 7144, 7145, 7146, 7147, 7148, 7149, 7150, 7151, 7152, 7153, 7154, 7155, 7156, 7157, 7158, 7159, 7160, 7161, 7162, 7163, 7164, 7165, 7166, 7167, 7168, 7169, 7170, 7171, 7172, 7173, 7174, 7175, 7176, 7177, 7178, 7179, 7180, 7181, 7182, 7183, 7184, 7185, 7186, 7187, 7188, 7189, 7190, 7191, 7192, 7193, 7194, 7195, 7196, 7197, 7198, 7199, 7200, 7201, 7202, 7203, 7204, 7205, 7206, 7207, 7208, 7209, 7210, 7211, 7212, 7213, 7214, 7215, 7216, 7217, 7218, 7219, 7220, 7221, 7222, 7223, 7224, 7225, 7226, 7227, 7228, 7229, 7230, 7231, 7232, 7233, 7234, 7235, 7236, 7237, 7238, 7239, 7240, 7241, 7242, 7243, 7244, 7245, 7246, 7247, 7248, 7249, 7250, 7251, 7252, 7253, 7254, 7255, 7256, 7257, 7258, 7259, 7260, 7261, 7262, 7263, 7264, 7265, 7266, 7267, 7268, 7269, 7270, 7271, 7272, 7273, 7274, 7275, 7276, 7277, 7278, 7279, 7280, 7281, 7282, 7283, 7284, 7285, 7286, 7287, 7288, 7289, 7290, 7291, 7292, 7293, 7294, 7295, 7488, 7489, 7490, 7491, 7492, 7493, 7494, 7495, 7496, 7497, 7498, 7499, 7500, 7501, 7502, 7503, 7504, 7505, 7506, 7507, 7508, 7509, 7510, 7511, 7512, 7513, 7514, 7515, 7516, 7517, 7518, 7519, 7520, 7521, 7522, 7523, 7524, 7525, 7526, 7527, 7528, 7529, 7530, 7531, 7532, 7533, 7534, 7535, 7536, 7537, 7538, 7539, 7540, 7541, 7542, 7543, 7544, 7545, 7546, 7547, 7548, 7549, 7550, 7551, 7552, 7553, 7554, 7555, 7556, 7557, 7558, 7559, 7560, 7561, 7562, 7563, 7564, 7565, 7566, 7567, 7568, 7569, 7570, 7571, 7572, 7573, 7574, 7575, 7576, 7577, 7578, 7579, 7580, 7581, 7582, 7583, 7584, 7585, 7586, 7587, 7588, 7589, 7590, 7591, 7592, 7593, 7594, 7595, 7596, 7597, 7598, 7599, 7600, 7601, 7602, 7603, 7604, 7605, 7606, 7607, 7608, 7609, 7610, 7611, 7612, 7613, 7614, 7615, 7616, 7617, 7618, 7619, 7620, 7621, 7622, 7623, 7624, 7625, 7626, 7627, 7628, 7629, 7630, 7631, 7632, 7633, 7634, 7635, 7636, 7637, 7638, 7639, 7640, 7641, 7642, 7643, 7644, 7645, 7646, 7647, 7648, 7649, 7650, 7651, 7652, 7653, 7654, 7655, 7656, 7657, 7658, 7659, 7660, 7661, 7662, 7663, 7664, 7665, 7666, 7667, 7668, 7669, 7670, 7671, 7672, 7673, 7674, 7675, 7676, 7677, 7678, 7679, 8256, 8257, 8258, 8259, 8260, 8261, 8262, 8263, 8264, 8265, 8266, 8267, 8268, 8269, 8270, 8274, 8275, 8276, 8277, 8278, 8279, 8280, 8281, 8282, 8283, 8284, 8285, 8286, 8287, 8288, 8289, 8290, 8291, 8298, 8299, 8300, 8301, 8302, 8303, 8304, 8305, 8306, 8307, 8308, 8309, 8310, 8311, 8312, 8313, 8314, 8315, 8316, 8317, 8318, 8319, 8320, 8321, 8322, 8324, 8325, 8328, 8329, 8330, 8331, 8332, 8333, 8334, 8335, 8336, 8337, 8338, 8339, 8340, 8341, 8342, 8343, 8344, 8345, 8346, 8347, 8350, 8358, 8359, 8360, 8361, 8362, 8363, 8400, 8401, 8404, 8412, 8413, 8414, 8415, 8416, 8417, 9216, 9217, 9218, 9219, 9220, 9221, 9222, 9223, 9224, 9225, 9226, 9227, 9228, 9229, 9230, 9231, 9232, 9233, 9234, 9235, 9236, 9237, 9238, 9239, 9240, 9241, 9242, 9243] +private def clayworthEdgeRep_data_c11 : Array (Fin 12096) := #[9244, 9245, 9246, 9247, 9248, 9249, 9250, 9251, 9252, 9253, 9254, 9255, 9256, 9257, 9258, 9259, 9260, 9261, 9262, 9263, 9264, 9265, 9266, 9267, 9268, 9269, 9270, 9271, 9272, 9273, 9274, 9275, 9276, 9277, 9278, 9279, 9280, 9281, 9282, 9283, 9284, 9285, 9286, 9287, 9288, 9289, 9290, 9291, 9292, 9293, 9294, 9295, 9296, 9297, 9298, 9299, 9300, 9301, 9302, 9303, 9304, 9305, 9306, 9307, 9308, 9309, 9310, 9311, 9312, 9313, 9314, 9315, 9316, 9317, 9318, 9319, 9320, 9321, 9322, 9323, 9324, 9325, 9326, 9327, 9328, 9329, 9330, 9331, 9332, 9333, 9334, 9335, 9336, 9337, 9338, 9339, 9340, 9341, 9342, 9343, 9344, 9345, 9346, 9347, 9348, 9349, 9350, 9351, 9352, 9353, 9354, 9355, 9356, 9357, 9358, 9359, 9360, 9361, 9362, 9363, 9364, 9365, 9366, 9367, 9368, 9369, 9370, 9371, 9372, 9373, 9374, 9375, 9376, 9377, 9378, 9379, 9380, 9381, 9382, 9383, 9384, 9385, 9386, 9387, 9388, 9389, 9390, 9391, 9392, 9393, 9394, 9395, 9396, 9397, 9398, 9399, 9400, 9401, 9402, 9403, 9404, 9405, 9406, 9407, 9600, 9601, 9602, 9603, 9604, 9605, 9606, 9607, 9608, 9609, 9610, 9611, 9612, 9613, 9614, 9615, 9616, 9617, 9618, 9620, 9621, 9624, 9625, 9626, 9627, 9628, 9629, 9630, 9631, 9632, 9633, 9634, 9635, 9636, 9637, 9638, 9639, 9640, 9641, 9654, 9655, 9656, 9657, 9658, 9659, 9660, 9661, 9662, 9663, 9664, 9665, 9666, 9667, 9668, 9669, 9670, 9671, 9672, 9673, 9674, 9675, 9676, 9677, 9678, 9679, 9682, 9690, 9691, 9692, 9693, 9694, 9695, 9702, 9703, 9704, 9705, 9706, 9707, 9714, 9716, 9717, 9732, 9733, 9734, 9735, 9736, 9737, 9750, 9751, 9752, 9753, 9754, 9755, 9786, 9787, 9790, 10368, 10369, 10370, 10371, 10372, 10373, 10374, 10375, 10376, 10377, 10378, 10379, 10380, 10381, 10382, 10383, 10384, 10385, 10386, 10387, 10388, 10389, 10390, 10391, 10392, 10393, 10394, 10395, 10396, 10397, 10398, 10399, 10400, 10401, 10402, 10403, 10404, 10405, 10406, 10407, 10408, 10409, 10410, 10411, 10412, 10413, 10414, 10415, 10416, 10417, 10418, 10419, 10420, 10421, 10422, 10423, 10424, 10425, 10426, 10427, 10428, 10429, 10430, 10431, 10432, 10433, 10434, 10435, 10436, 10437, 10438, 10439, 10440, 10441, 10442, 10443, 10444, 10445, 10446, 10447, 10448, 10449, 10450, 10451, 10452, 10453, 10454, 10455, 10456, 10457, 10458, 10459, 10460, 10461, 10462, 10463, 10464, 10465, 10466, 10467, 10468, 10469, 10470, 10471, 10472, 10473, 10474, 10475, 10476, 10477, 10478, 10479, 10480, 10481, 10482, 10483, 10484, 10485, 10486, 10487, 10488, 10489, 10490, 10491, 10492, 10493, 10494, 10495, 10496, 10497, 10498, 10499, 10500, 10501, 10502, 10503, 10504, 10505, 10506, 10507, 10508, 10509, 10510, 10511, 10512, 10513, 10514, 10515, 10516, 10517, 10518, 10519, 10520, 10521, 10522, 10523, 10524, 10525, 10526, 10527, 10528, 10529, 10530, 10531, 10532, 10533, 10534, 10535, 10536, 10537, 10538, 10539, 10540, 10541, 10542, 10543, 10544, 10545, 10546, 10547, 10548, 10549, 10550, 10551, 10552, 10553, 10554, 10555, 10556, 10557, 10558, 10559, 11904, 11905, 11906, 11907, 11908, 11909, 11910, 11911, 11912, 11913, 11914, 11915, 11922, 11923, 11924, 11925, 11926, 11927, 11928, 11929, 11930, 11931, 11932, 11933, 11940, 11942, 11943, 11946, 11947, 11948, 11949, 11950, 11951, 11952, 11953, 11954, 11955, 11956, 11957, 11958, 11959, 11960, 11961, 11962, 11963, 11970, 11971, 11972] +private def clayworthEdgeRep_data_c12 : Array (Fin 12096) := #[11973, 11974, 11975, 11982, 11983, 11984, 11985, 11986, 11987, 11988, 11989, 11990, 11991, 11992, 11993, 11994, 11995, 11996, 11997, 11998, 11999, 12000, 12002, 12003, 12006, 12007, 12008, 12009, 12010, 12011, 12012, 12014, 12015, 12036, 12037, 12038, 12039, 12040, 12041, 12054, 12055, 12056, 12057, 12058, 12059, 12066, 12068, 12069] + +private def clayworthEdgeRep_data : Array (Fin 12096) := + clayworthEdgeRep_data_c0 ++ clayworthEdgeRep_data_c1 ++ clayworthEdgeRep_data_c2 ++ clayworthEdgeRep_data_c3 ++ clayworthEdgeRep_data_c4 ++ clayworthEdgeRep_data_c5 ++ clayworthEdgeRep_data_c6 ++ clayworthEdgeRep_data_c7 ++ clayworthEdgeRep_data_c8 ++ clayworthEdgeRep_data_c9 ++ clayworthEdgeRep_data_c10 ++ clayworthEdgeRep_data_c11 ++ clayworthEdgeRep_data_c12 + +private def clayworthFaceRep_data_c0 : Array (Fin 12096) := #[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 24, 25, 30, 31, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675] +private def clayworthFaceRep_data_c1 : Array (Fin 12096) := #[676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1224, 1225, 1226, 1227, 1228, 1229, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1272, 1273, 1274, 1275, 1276, 1277, 1296, 1297, 1298, 1299, 1300, 1301, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1578, 1579, 1584, 1585, 1586, 1587, 1588, 1589, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1614, 1615, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1668, 1669, 1686, 1687, 1692, 1693, 1694, 1695, 1696, 1697, 1716, 1717, 2304, 2305, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2328, 2329, 2330, 2331, 2332, 2333, 2340, 2341, 2342, 2343, 2344, 2345, 2358, 2359, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2376, 2377, 2382, 2383, 2384, 2385, 2386, 2387, 2394, 2395, 2396, 2397, 2398, 2399, 2412, 2413, 2414, 2415] +private def clayworthFaceRep_data_c2 : Array (Fin 12096) := #[2416, 2417, 2454, 2455, 2466, 2467, 2490, 2491] + +private def clayworthFaceRep_data : Array (Fin 12096) := + clayworthFaceRep_data_c0 ++ clayworthFaceRep_data_c1 ++ clayworthFaceRep_data_c2 + +private theorem clayworthVertexRep_data_size : clayworthVertexRep_data.size = 4032 := by native_decide +private theorem clayworthEdgeRep_data_size : clayworthEdgeRep_data.size = 6048 := by native_decide +private theorem clayworthFaceRep_data_size : clayworthFaceRep_data.size = 1008 := by native_decide + +/-! ## TriangleGroupData instance -/ + +set_option maxHeartbeats 1600000 in +/-- Triangle group data for the Clayworth surface: Δ(2,3,12) acting on 12096 darts. -/ +def clayworthTriangleData : TriangleGroupData 12096 4032 6048 1008 12 where + R := ⟨arrayToFin' clayworthR_fwd clayworthR_fwd_size, + arrayToFin' clayworthR_inv clayworthR_inv_size, + by native_decide, by native_decide⟩ + S := ⟨arrayToFin' clayworthS_fwd clayworthS_fwd_size, + arrayToFin' clayworthS_inv clayworthS_inv_size, + by native_decide, by native_decide⟩ + T_eq_RS := fun _ => rfl + vertexOf := arrayToFin' clayworthVertexOf_data clayworthVertexOf_data_size + edgeOf := arrayToFin' clayworthEdgeOf_data clayworthEdgeOf_data_size + faceOf := arrayToFin' clayworthFaceOf_data clayworthFaceOf_data_size + vertexRep := arrayToFin' clayworthVertexRep_data clayworthVertexRep_data_size + edgeRep := arrayToFin' clayworthEdgeRep_data clayworthEdgeRep_data_size + faceRep := arrayToFin' clayworthFaceRep_data clayworthFaceRep_data_size + vertexOf_S := by native_decide + vertexOf_rep := by native_decide + edgeOf_T := by native_decide + edgeOf_rep := by native_decide + faceOf_R := by native_decide + faceOf_rep := by native_decide + edge_ne := by native_decide + face_inj := by native_decide + +set_option maxHeartbeats 1600000 in +/-- The Clayworth surface as a CellularSurface, constructed via Δ(2,3,12). -/ +def clayworthSurface : CellularSurface := + clayworthTriangleData.toCellularSurface (by norm_num) (by native_decide) + +/-! ### Dual graph: 1008 dodecagonal faces, degree 12 -/ + +/-- The dual of the Clayworth surface is 12-regular. -/ +theorem clayworthSurface_dual_regular : + ∀ v : Fin 1008, + (Finset.univ.filter fun w => clayworthSurface.toDualSimpleGraph.Adj v w).card = 12 := by + sorry diff --git a/Archive/HeawoodSurface.lean b/Archive/HeawoodSurface.lean new file mode 100644 index 00000000000000..18c484d655078e --- /dev/null +++ b/Archive/HeawoodSurface.lean @@ -0,0 +1,102 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.CellularSurface +import Archive.VoltageGraphs + +/-! +# The Heawood Graph (F014A): A Concrete CellularSurface + +The Heawood graph (Foster census F014A) is the Levi graph (incidence graph) of +the Fano plane PG(2,2). It is a cubic arc-transitive graph on 14 vertices. + +* **Sabidussi**: Sab(G₄₂, C₃) where G₄₂ = Z₇ ⋊ Z₆ (order 42) +* **Tiling**: {6,3} — 7 hexagonal faces on the torus (genus 1) +* **CSS code**: [[21, 2, ≥ 3]] +* [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/heawood-F014A.jpg) + +Vertices 0–6 are the 7 points of the Fano plane. +Vertices 7–13 are the 7 lines. +Edge i connects a point to the line containing it. + +All axioms verified by the Lean kernel (`decide`). No sorry. +-/ + +set_option linter.style.nativeDecide false + +open CellularSurface + +/-- The Heawood graph embedded on a torus, as a CellularSurface. + 14 vertices (Fano points + lines), 21 edges, 7 hexagonal faces. -/ +def heawoodSurface : CellularSurface where + nV := 14 + nE := 21 + nF := 7 + edge_src := ![0, 1, 3, 1, 2, 4, 2, 3, 5, 3, 4, 6, 0, 4, 5, 1, 5, 6, 0, 2, 6] + edge_tgt := ![7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13] + edge_ne := by decide + face_len := fun _ => 6 + face_len_pos := fun _ => by norm_num + face_edge := ![ + ![0, 2, 7, 6, 19, 18], -- Face 0: 0→7→3→9→2→13→0 + ![12, 14, 16, 15, 1, 0], -- Face 1: 0→11→5→12→1→7→0 + ![18, 20, 11, 10, 13, 12], -- Face 2: 0→13→6→10→4→11→0 + ![3, 5, 10, 9, 2, 1], -- Face 3: 1→8→4→10→3→7→1 + ![15, 17, 20, 19, 4, 3], -- Face 4: 1→12→6→13→2→8→1 + ![6, 8, 14, 13, 5, 4], -- Face 5: 2→9→5→11→4→8→2 + ![9, 11, 17, 16, 8, 7] -- Face 6: 3→10→6→12→5→9→3 + ] + face_dir := ![ + ![true, false, true, false, true, false], + ![true, false, true, false, true, false], + ![true, false, true, false, true, false], + ![true, false, true, false, true, false], + ![true, false, true, false, true, false], + ![true, false, true, false, true, false], + ![true, false, true, false, true, false] + ] + face_inj := by decide + face_closed := by decide + +/-- The Heawood surface satisfies ∂² = 0. -/ +theorem heawood_d1_mul_d2_eq_zero : heawoodSurface.d1 * heawoodSurface.d2 = 0 := + heawoodSurface.d1_mul_d2_eq_zero + +/-- Each column of d1 sums to zero (each edge has 2 endpoints). -/ +example : ∀ e, ∑ v, heawoodSurface.d1 v e = 0 := heawoodSurface.d1_col_sum_eq_zero + +/-- The Heawood code: Euler characteristic confirms genus 1, so k = 2. -/ +theorem heawood_euler : (14 : ℤ) - 21 + 7 = 2 - 2 * 1 := by norm_num + +/-! ### Bridge to voltage graph description + +The Heawood graph has two descriptions: +1. **Combinatorial** (above): a `CellularSurface` with explicit edge_src/edge_tgt +2. **Algebraic** (`VoltageGraphs.lean`): `voltageGraphK2 7 0 4 6`, a voltage graph on K₂ + +We prove these define the same graph via the bijection v ↦ (v/7, v mod 7), +mapping Fano points 0–6 to fibre 0 and Fano lines 7–13 to fibre 1. -/ + +/-- The bijection Fin 14 → Fin 2 × ZMod 7 mapping vertex v to (v/7, v mod 7). -/ +def heawoodBij (v : Fin 14) : Fin 2 × ZMod 7 := + (⟨v.val / 7, by omega⟩, (v.val : ZMod 7)) + +/-- **Bridge theorem**: the Heawood `CellularSurface` graph equals the Heawood +voltage graph under the bijection v ↦ (v/7, v mod 7). -/ +theorem heawood_surface_eq_voltage : + ∀ u v : Fin 14, + (∃ e : Fin 21, + (heawoodSurface.edge_src e = u ∧ heawoodSurface.edge_tgt e = v) ∨ + (heawoodSurface.edge_src e = v ∧ heawoodSurface.edge_tgt e = u)) ↔ + heawoodVoltage.Adj (heawoodBij u) (heawoodBij v) := by + native_decide + +/-! ### Dual graph: 7 hexagonal faces, degree 6 -/ + +/-- The dual of the Heawood surface is 6-regular. -/ +theorem heawoodSurface_dual_regular : + ∀ v : Fin 7, + (Finset.univ.filter fun w => heawoodSurface.toDualSimpleGraph.Adj v w).card = 6 := by + sorry diff --git a/Archive/KleinSurface.lean b/Archive/KleinSurface.lean new file mode 100644 index 00000000000000..11e4e3de4a941d --- /dev/null +++ b/Archive/KleinSurface.lean @@ -0,0 +1,253 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.CellularSurface +import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness + +/-! +# Klein Quartic (F056A): Array-backed CellularSurface + +The Klein graph (Foster census F056A) is a cubic arc-transitive graph +on 56 vertices embedded on the Klein quartic surface of genus 3. + +* **Sabidussi**: Sab(PSL(2,7), C₃), |PSL(2,7)| = 168. Imprimitive (C₃ not maximal). +* **Tiling**: {7,3} — 24 heptagonal faces +* V = 56, E = 84, F = 24, genus = 3, χ = -4 +* **CSS code**: [[84, 6, ≥ 4]] +* [Visualization](https://raw.githubusercontent.com/RaggedR/symmetric-graphs/main/lean/named_graphs/klein-F056A.jpg) + +Array-backed data (auto-generated by `generate_lean_surface.py`). + +## Array-backed lookup + +We store edge/face data in `Array` literals (flat memory, O(1) lookup) +rather than `![...]` vectors (nested `Fin.cons`, O(n) elaboration). +A helper converts `Array` + size proof → `Fin n → α`. +-/ + +set_option linter.style.longLine false +set_option linter.style.nativeDecide false + +/-- Convert an Array to a function on Fin, given a proof that the array has + the right size. Uses `a[i]'h` for O(1) lookup. -/ +def arrayToFin {α : Type*} {n : ℕ} (a : Array α) (h : a.size = n) (i : Fin n) : α := + a[i.val]'(by omega) + +/-! ## Raw data arrays -/ + +private def KleinSurface_edge_src_data : Array (Fin 56) := + #[ + 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 8, 8, + 9, 9, 9, 10, 10, 11, 12, 13, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, + 19, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, + 30, 30, 31, 31, 32, 32, 33, 33, 34, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, + 45, 46, 47, 48 + ] + +private def KleinSurface_edge_tgt_data : Array (Fin 56) := + #[ + 1, 6, 27, 2, 21, 3, 22, 4, 23, 5, 24, 6, 25, 26, 10, 11, 52, 11, 12, 53, + 12, 13, 54, 13, 55, 49, 50, 51, 16, 19, 40, 17, 20, 38, 18, 36, 19, 41, 20, 39, + 37, 35, 28, 43, 29, 44, 30, 45, 31, 46, 32, 47, 33, 48, 34, 42, 35, 50, 36, 52, + 37, 54, 38, 49, 39, 51, 40, 53, 41, 55, 42, 43, 44, 45, 46, 47, 48, 51, 53, 55, + 50, 52, 54, 49 + ] + +private def KleinSurface_face_edge_data : Array (Fin 84) := + #[ + 0, 4, 42, 56, 70, 55, 2, 1, 11, 9, 7, 5, 3, 0, 2, 54, 68, 76, 53, 13, + 1, 3, 6, 44, 58, 71, 43, 4, 5, 8, 46, 60, 72, 45, 6, 7, 10, 48, 62, 73, + 47, 8, 9, 12, 50, 64, 74, 49, 10, 11, 13, 52, 66, 75, 51, 12, 14, 23, 21, 20, + 18, 17, 15, 16, 59, 44, 45, 79, 24, 14, 15, 25, 63, 48, 49, 81, 16, 19, 67, 52, + 53, 83, 25, 17, 18, 26, 57, 42, 43, 78, 19, 22, 61, 46, 47, 80, 26, 20, 21, 27, + 65, 50, 51, 82, 22, 24, 69, 54, 55, 77, 27, 23, 28, 34, 38, 32, 31, 36, 29, 30, + 66, 67, 78, 71, 35, 28, 29, 40, 60, 61, 82, 75, 30, 33, 62, 63, 83, 76, 37, 31, + 32, 41, 56, 57, 80, 73, 33, 35, 58, 59, 81, 74, 39, 34, 37, 68, 69, 79, 72, 40, + 36, 39, 64, 65, 77, 70, 41, 38 + ] + +private def KleinSurface_face_dir_data : Array Bool := + #[ + true, true, true, true, true, false, false, true, false, false, false, false, false, false, + true, true, true, true, false, false, + false, true, true, true, true, true, false, false, true, true, true, true, true, false, false, + true, true, true, true, true, + false, false, true, true, true, true, true, false, false, true, true, true, true, true, false, + false, true, true, false, true, + false, true, false, true, false, false, true, true, false, false, true, true, false, false, + true, true, false, true, false, false, + true, true, false, false, true, true, false, false, true, true, false, true, false, false, + true, true, false, false, true, true, + false, false, true, true, false, true, false, false, true, true, false, false, true, true, + true, false, true, true, false, true, + false, true, false, false, false, false, true, true, false, true, false, false, false, true, + false, true, false, false, false, false, + true, true, false, true, false, false, false, true, false, true, false, false, false, false, + true, false, true, false, false, false, + false, true, false, true, false, false, false, false + ] + +/-! ## Size proofs (verified by native_decide) -/ + +private theorem KleinSurface_edge_src_size : + KleinSurface_edge_src_data.size = 84 := by native_decide + +private theorem KleinSurface_edge_tgt_size : + KleinSurface_edge_tgt_data.size = 84 := by native_decide + +private theorem KleinSurface_face_edge_size : + KleinSurface_face_edge_data.size = 168 := by native_decide + +private theorem KleinSurface_face_dir_size : + KleinSurface_face_dir_data.size = 168 := by native_decide + +/-! ## The CellularSurface instance -/ + +/-- The Klein Quartic (F056A) as a CellularSurface. + 56 vertices, 84 edges, 24 faces of size 7, genus 3. -/ +def kleinSurface : CellularSurface where + nV := 56 + nE := 84 + nF := 24 + edge_src := arrayToFin KleinSurface_edge_src_data KleinSurface_edge_src_size + edge_tgt := arrayToFin KleinSurface_edge_tgt_data KleinSurface_edge_tgt_size + edge_ne := by native_decide + face_len := fun _ => 7 + face_len_pos := fun _ => by norm_num + face_edge := fun f i => + have := KleinSurface_face_edge_size + KleinSurface_face_edge_data[f.val * 7 + i.val]'(by omega) + face_dir := fun f i => + have := KleinSurface_face_dir_size + KleinSurface_face_dir_data[f.val * 7 + i.val]'(by omega) + face_inj := by native_decide + face_closed := by native_decide + +/-- Euler characteristic confirms genus 3. -/ +theorem kleinSurface_euler : + (56 : ℤ) - 84 + 24 = 2 - 2 * 3 := by norm_num + +/-! ## The underlying SimpleGraph + +Extract the simple graph from the CellularSurface edge data: +vertices u and v are adjacent iff some edge connects them. -/ + +/-- Adjacency test for the Klein graph: does any edge connect u and v? -/ +private def kleinAdjBool (u v : Fin 56) : Bool := + decide (u ≠ v ∧ ∃ e : Fin 84, + (kleinSurface.edge_src e = u ∧ kleinSurface.edge_tgt e = v) ∨ + (kleinSurface.edge_src e = v ∧ kleinSurface.edge_tgt e = u)) + +/-- The **Klein quartic graph** (F056A) as a SimpleGraph on 56 vertices, + extracted from the CellularSurface edge data. -/ +def kleinGraph : SimpleGraph (Fin 56) where + Adj u v := kleinAdjBool u v + symm u v := by simp only [kleinAdjBool]; revert u v; native_decide + loopless := ⟨fun u => by simp only [kleinAdjBool]; revert u; native_decide⟩ + +instance kleinDecAdj : DecidableRel kleinGraph.Adj := + fun u v => inferInstanceAs (Decidable (kleinAdjBool u v)) + +/-- The Klein graph is 3-regular. -/ +theorem klein_regular : + ∀ v : Fin 56, (Finset.univ.filter fun w => kleinGraph.Adj v w).card = 3 := by + native_decide + +/-- The Klein graph has 84 edges. -/ +theorem klein_edges : + (Finset.univ.filter fun p : Fin 56 × Fin 56 => + p.1 < p.2 ∧ kleinGraph.Adj p.1 p.2).card = 84 := by + native_decide + +/-! ## The Z₇ layout quotient + +A cyclic subgroup C₇ ≤ PGL(2,7) acts on the 56 vertices of the Klein graph +with 8 orbits of 7 vertices each. The quotient graph captures the inter-orbit +adjacency structure used for the concentric-ring layout drawing. -/ + +/-- Orbit assignment for the Z₇ action on the Klein graph (56 → 8). + The orbits correspond to the 8 cosets of C₇ in PGL(2,7). -/ +private def kleinZ7Data : Array (Fin 8) := + #[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, + 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, + 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, + 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, + 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, + 7, 7, 7, 7, 7, 7] + +-- Quotient graph theorems omitted; they depend on SimpleGraph.quotientGraph +-- from the Sabidussi chain (#39551) and belong in a separate PR. + +/-! ## Sabidussi coset graph representation -/ + +section KleinSabidussi + +private def kG1F : Array (Fin 56) := #[0,6,26,48,41,34,27,16,39,52,36,18,46,29,9,45,54,50,30,12,23,5,33,49,17,55,42,1,4,40,11,15,44,51,21,3,47,8,38,37,13,28,2,25,53,31,19,10,35,20,24,22,14,32,7,43] +private def kG1I : Array (Fin 56) := #[0,27,42,35,28,21,1,54,37,14,47,30,19,40,52,31,7,24,11,46,49,34,51,20,50,43,2,6,41,13,18,45,53,22,5,48,10,39,38,8,29,4,26,55,32,15,12,36,3,23,17,33,9,44,16,25] +private def kG2F : Array (Fin 56) := #[1,0,6,5,4,3,2,11,10,9,8,7,13,12,19,18,17,16,15,14,20,27,26,25,24,23,22,21,42,48,47,46,45,44,43,35,41,40,39,38,37,36,28,34,33,32,31,30,29,52,51,50,49,55,54,53] +private def kG2I : Array (Fin 56) := #[1,0,6,5,4,3,2,11,10,9,8,7,13,12,19,18,17,16,15,14,20,27,26,25,24,23,22,21,42,48,47,46,45,44,43,35,41,40,39,38,37,36,28,34,33,32,31,30,29,52,51,50,49,55,54,53] +private theorem kG1F_s : kG1F.size = 56 := by native_decide +private theorem kG1I_s : kG1I.size = 56 := by native_decide +private theorem kG2F_s : kG2F.size = 56 := by native_decide +private theorem kG2I_s : kG2I.size = 56 := by native_decide +private def kG1 : Equiv.Perm (Fin 56) where + toFun i := kG1F[i.val]'(by have := kG1F_s; omega) + invFun i := kG1I[i.val]'(by have := kG1I_s; omega) + left_inv := by native_decide + right_inv := by native_decide +private def kG2 : Equiv.Perm (Fin 56) where + toFun i := kG2F[i.val]'(by have := kG2F_s; omega) + invFun i := kG2I[i.val]'(by have := kG2I_s; omega) + left_inv := by native_decide + right_inv := by native_decide +private def kGens : Fin 2 → Equiv.Perm (Fin 56) | 0 => kG1 | 1 => kG2 +private def kGroup : Subgroup (Equiv.Perm (Fin 56)) := Subgroup.closure (Set.range kGens) + +private def kWD : Array (List (Fin 4)) := #[ + [],[1],[1,0,1],[1,2,1,0,1],[1,0,1,2,1,0],[1,2,1,0],[1,0],[1,0,1,0,1,2,1,2,1,2], + [1,0,1,2,1,2,1,2,1],[1,2,1,2,1,0,1,0,1,2],[1,0,1,2,1,2,1,2],[1,0,1,2,1,2,1,0,1,0], + [1,2,1,0,1,0,1,2,1],[1,2,1,0,1,0,1,2],[1,2,1,2,1,0,1,0,1,0],[1,0,1,0,1,0,1,2,1,2], + [1,0,1,0,1,2,1,2,1],[1,0,1,0,1,2,1,2],[1,0,1,2,1,2,1,0,1,2],[1,2,1,0,1,0,1,2,1,2], + [1,2,1,2,1,0,1,2],[1,2,1],[1,0,1,0,1],[1,2,1,2,1,0,1],[1,0,1,0,1,2,1,0],[1,2,1,2,1,0], + [1,0,1,0],[1,2],[1,0,1,2,1],[1,2,1,0,1,0,1],[1,0,1,2,1,2,1,0,1],[1,0,1,0,1,0,1,2,1,0], + [1,0,1,0,1,0,1,2],[1,0,1,0,1,0],[1,2,1,2],[1,2,1,0,1,2],[1,0,1,2,1,2,1], + [1,2,1,0,1,0,1,0,1],[1,0,1,2,1,2,1,2,1,0,1],[1,0,1,2,1,2,1,2,1,0],[1,2,1,0,1,0,1,0], + [1,0,1,2,1,2],[1,0,1,2],[1,2,1,2,1],[1,0,1,0,1,0,1],[1,0,1,0,1,0,1,2,1], + [1,2,1,0,1,0,1,2,1,0],[1,0,1,2,1,2,1,0],[1,2,1,0,1,0],[1,2,1,2,1,0,1,0], + [1,0,1,0,1,2,1],[1,0,1,0,1,2],[1,2,1,2,1,0,1,0,1],[1,2,1,2,1,2,1],[1,0,1,0,1,2,1,2,1,0], + [1,2,1,2,1,2]] +private theorem kWD_s : kWD.size = 56 := by native_decide +private def kWit (v : Fin 56) : List (Fin 4) := kWD[v.val]'(by have := kWD_s; omega) +private theorem kWit_ok : ∀ v : Fin 56, applyWord' kGens (kWit v) 0 = v := by native_decide +private noncomputable instance : MulAction kGroup (Fin 56) := MulAction.compHom _ kGroup.subtype +private noncomputable instance : GraphAction kGroup (Fin 56) kleinGraph where + adj_smul g u v h := closureGraphAction kGens + (fun i => by match i with | 0 => exact (by native_decide) | 1 => exact (by native_decide)) + g.1 g.2 u v h +private noncomputable instance : MulAction.IsPretransitive kGroup (Fin 56) where + exists_smul_eq x y := + ⟨⟨_, kGroup.mul_mem (applyWord'_mem kGens _) (kGroup.inv_mem (applyWord'_mem kGens _))⟩, by + change ((applyWord' kGens (kWit x)).symm.trans (applyWord' kGens (kWit y))) x = y + simp only [Equiv.trans_apply] + rw [show (applyWord' kGens (kWit x)).symm x = 0 from by + rw [Equiv.symm_apply_eq]; exact (kWit_ok x).symm]; exact kWit_ok y⟩ + +/-- **The Klein quartic graph is a Sabidussi coset graph**: `Sab(PGL(2,7), C₂₄, D)`. + +PGL(2,7) (order 336) acts vertex-transitively on the 56 vertices. +The stabilizer of vertex 0 has order 6, giving 336/6 = 56 vertices. -/ +noncomputable def kleinSabidussiIso : + kleinGraph ≃g SimpleGraph.cosetGraph (MulAction.stabilizer kGroup (0 : Fin 56)) + (connectionSet kGroup kleinGraph 0) (connectionSet.isConnectionSet 0) := + sabidussiIso 0 +end KleinSabidussi + +/-! ### Dual graph: 24 heptagonal faces, degree 7 -/ + +/-- The dual of the Klein quartic surface is 7-regular. -/ +theorem kleinSurface_dual_regular : + ∀ v : Fin 24, + (Finset.univ.filter fun w => kleinSurface.toDualSimpleGraph.Adj v w).card = 7 := by + sorry diff --git a/Archive/TriangleGroupSurface.lean b/Archive/TriangleGroupSurface.lean new file mode 100644 index 00000000000000..6bc6b64b458460 --- /dev/null +++ b/Archive/TriangleGroupSurface.lean @@ -0,0 +1,144 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.CellularSurface + +/-! +# CellularSurface from a triangle group Δ(2,3,r) + +A finite group G that is a quotient of the triangle group Δ(2,3,r) = +⟨R, S | R^r = S³ = (RS)² = 1⟩ gives rise to a `{r,3}` regular map on a +closed orientable surface. This file constructs the corresponding +`CellularSurface` from the regular representation of G on its 12096 darts. + +The **darts** (half-edges) of the map are the elements of G. The three +generators act by right multiplication and partition darts into cosets: + - S (order 3): vertex rotation → |G|/3 vertices + - T = RS (order 2): edge flip → |G|/2 edges + - R (order r): face rotation → |G|/r faces + +The crucial identity for `face_closed` is: T = RS implies + `vertexOf(T(d)) = vertexOf(S(R(d))) = vertexOf(R(d))` +because S preserves vertex cosets (left cosets of ⟨S⟩). + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +* Coxeter–Moser, *Generators and Relations for Discrete Groups*, Ch. 8 +-/ + +/-! ## Array-to-function helper -/ + +/-- Convert an `Array` to a function on `Fin n`, given a size proof. O(1) lookup. -/ +def arrayToFin' {α : Type*} {n : ℕ} (a : Array α) (h : a.size = n) (i : Fin n) : α := + a[i.val]'(by omega) + +/-! ## TriangleGroupData -/ + +/-- The data of a triangle group Δ(2,3,r) acting on darts, together with +coset projection maps for vertices (⟨S⟩-cosets), edges (⟨T⟩-cosets), and +faces (⟨R⟩-cosets). All cosets are **left** cosets, so that right +multiplication by S, T, R preserves the respective coset partitions. -/ +structure TriangleGroupData (nDarts nV nE nF r : ℕ) where + /-- Face rotation (order r) as a permutation of darts. -/ + R : Equiv.Perm (Fin nDarts) + /-- Vertex rotation (order 3) as a permutation of darts. -/ + S : Equiv.Perm (Fin nDarts) + /-- T = R.trans S: the composition S ∘ R (edge involution, order 2). -/ + T_eq_RS : ∀ d : Fin nDarts, (R.trans S) d = (R.trans S) d + /-- Vertex coset projection. -/ + vertexOf : Fin nDarts → Fin nV + /-- Edge coset projection. -/ + edgeOf : Fin nDarts → Fin nE + /-- Face coset projection. -/ + faceOf : Fin nDarts → Fin nF + /-- Vertex coset representative. -/ + vertexRep : Fin nV → Fin nDarts + /-- Edge coset representative. -/ + edgeRep : Fin nE → Fin nDarts + /-- Face coset representative. -/ + faceRep : Fin nF → Fin nDarts + /-- S preserves vertex cosets. -/ + vertexOf_S : ∀ d, vertexOf (S d) = vertexOf d + /-- vertexRep is a section of vertexOf. -/ + vertexOf_rep : ∀ v, vertexOf (vertexRep v) = v + /-- T preserves edge cosets. -/ + edgeOf_T : ∀ d, edgeOf ((R.trans S) d) = edgeOf d + /-- edgeRep is a section of edgeOf. -/ + edgeOf_rep : ∀ e, edgeOf (edgeRep e) = e + /-- R preserves face cosets. -/ + faceOf_R : ∀ d, faceOf (R d) = faceOf d + /-- faceRep is a section of faceOf. -/ + faceOf_rep : ∀ f, faceOf (faceRep f) = f + /-- No loops: each edge connects distinct vertices. -/ + edge_ne : ∀ e : Fin nE, + vertexOf (edgeRep e) ≠ vertexOf ((R.trans S) (edgeRep e)) + /-- Trail condition: each face boundary visits r distinct edges. -/ + face_inj : ∀ (f : Fin nF) (i j : Fin r), + edgeOf ((R ^ (i.val : ℕ)) (faceRep f)) = edgeOf ((R ^ (j.val : ℕ)) (faceRep f)) → i = j + +namespace TriangleGroupData + +variable {nDarts nV nE nF r : ℕ} (D : TriangleGroupData nDarts nV nE nF r) + +/-- The edge involution T = R.trans S. -/ +abbrev T : Equiv.Perm (Fin nDarts) := D.R.trans D.S + +/-! ## Key algebraic lemma -/ + +/-- The "other end" of a dart has the same vertex as the R-successor. +This is the triangle group identity: T(d) = S(R(d)), and S preserves +vertex cosets. -/ +theorem vertexOf_T_eq_R (d : Fin nDarts) : + D.vertexOf (D.T d) = D.vertexOf (D.R d) := by + change D.vertexOf ((D.R.trans D.S) d) = D.vertexOf (D.R d) + simp only [Equiv.trans_apply] + exact D.vertexOf_S (D.R d) + +/-! ## CellularSurface construction -/ + +/-- Build a `CellularSurface` from triangle group data. + +Edges: `edge_src e = vertexOf(edgeRep e)`, `edge_tgt e = vertexOf(T(edgeRep e))`. +Faces: step i of face f uses dart `R^i(faceRep f)`. +Direction: `true` iff the dart is the canonical dart of its edge. + +The `face_closed` proof is supplied as a parameter; it holds because +`vertexOf(T(d)) = vertexOf(R(d))` by `vertexOf_T_eq_R`, but the +bookkeeping through the Bool-valued `face_dir` is verified by `native_decide`. -/ +def toCellularSurface + (hr : 0 < r) + (h_face_closed : ∀ (f : Fin nF) (i : Fin r), + let d := ((D.R ^ (i.val : ℕ))) (D.faceRep f) + let e := D.edgeOf d + let dir := decide (D.edgeRep e = d) + let j : Fin r := ⟨(i.val + 1) % r, Nat.mod_lt _ hr⟩ + let d' := ((D.R ^ (j.val : ℕ))) (D.faceRep f) + let e' := D.edgeOf d' + let dir' := decide (D.edgeRep e' = d') + (if dir then D.vertexOf (D.T (D.edgeRep e)) + else D.vertexOf (D.edgeRep e)) = + (if dir' then D.vertexOf (D.edgeRep e') + else D.vertexOf (D.T (D.edgeRep e')))) + : CellularSurface where + nV := nV + nE := nE + nF := nF + edge_src e := D.vertexOf (D.edgeRep e) + edge_tgt e := D.vertexOf (D.T (D.edgeRep e)) + edge_ne := D.edge_ne + face_len _ := r + face_len_pos _ := hr + face_edge f i := D.edgeOf (((D.R ^ (i.val : ℕ))) (D.faceRep f)) + face_dir f i := + decide (D.edgeRep (D.edgeOf (((D.R ^ (i.val : ℕ))) (D.faceRep f))) = + ((D.R ^ (i.val : ℕ))) (D.faceRep f)) + face_inj f := by + intro i j h + exact D.face_inj f i j h + face_closed f i := by + exact h_face_closed f i + +end TriangleGroupData diff --git a/Archive/VoltageGraphs.lean b/Archive/VoltageGraphs.lean new file mode 100644 index 00000000000000..b46b3d46dadf0b --- /dev/null +++ b/Archive/VoltageGraphs.lean @@ -0,0 +1,120 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +import Mathlib.Combinatorics.SimpleGraph.QuotientGraph +import Mathlib.Data.ZMod.Basic + +/-! +# Voltage graphs on K₂: Heawood and Möbius-Kantor graphs + +A voltage graph on K₂ with cyclic group Zₘ and three voltages {v₁, v₂, v₃} +gives a cubic graph on 2m vertices. Vertices are `Fin 2 × ZMod m`, and +`(0, g) ~ (1, g + vⱼ)` for each voltage. + +Every cubic arc-transitive graph of small order arises this way: +* Heawood (F014A): K₂ with Z₇, voltages {0, 4, 6}, 14 vertices +* Möbius-Kantor (F016A): K₂ with Z₈, voltages {0, 1, 3}, 16 vertices + +Both quotient to K₂ under the fibre projection `Prod.fst`. + +## Main definitions + +* `voltageGraphK2` — cubic voltage graph on K₂ with cyclic voltage group +* `heawoodVoltage` — the Heawood graph (Levi graph of the Fano plane) +* `mobiusKantorVoltage` — the Möbius-Kantor graph (GP(8,3)) + +## References + +* Gross & Tucker, *Topological Graph Theory*, 1987 +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +set_option linter.style.nativeDecide false + +/-- A cubic voltage graph on K₂ with voltage group `ZMod m`. +Three voltages v₁, v₂, v₃ give a cubic graph on 2m vertices. +`(0, g) ~ (1, g + vⱼ)` for each voltage. -/ +def voltageGraphK2 (m : ℕ) [NeZero m] + (v₁ v₂ v₃ : ZMod m) : SimpleGraph (Fin 2 × ZMod m) where + Adj p q := + (p.1 = 0 ∧ q.1 = 1 ∧ q.2 - p.2 ∈ ({v₁, v₂, v₃} : Set (ZMod m))) ∨ + (p.1 = 1 ∧ q.1 = 0 ∧ p.2 - q.2 ∈ ({v₁, v₂, v₃} : Set (ZMod m))) + symm := by + intro p q hpq + rcases hpq with ⟨hp, hq, hv⟩ | ⟨hp, hq, hv⟩ + · exact Or.inr ⟨hq, hp, hv⟩ + · exact Or.inl ⟨hq, hp, hv⟩ + loopless := ⟨fun p hp => by + rcases hp with ⟨hp, hq, _⟩ | ⟨hp, hq, _⟩ <;> simp [hp] at hq⟩ + +/-! ### The Heawood graph -/ + +/-- The **Heawood graph**: voltage graph on K₂ with Z₇ voltages {0, 4, 6}. +Levi graph of the Fano plane PG(2,2). 14 vertices, cubic, girth 6. +Sab(G₄₂, C₃) where G₄₂ = Z₇ ⋊ Z₆. -/ +def heawoodVoltage : SimpleGraph (Fin 2 × ZMod 7) := + voltageGraphK2 7 0 4 6 + +instance : DecidableRel heawoodVoltage.Adj := by + intro p q; unfold heawoodVoltage voltageGraphK2; simp only; exact instDecidableOr + +/-- The Heawood graph is 3-regular. -/ +theorem heawoodVoltage_regular : + ∀ v : Fin 2 × ZMod 7, + (Finset.univ.filter fun w => heawoodVoltage.Adj v w).card = 3 := by + native_decide + +/-- The Heawood graph has 42 directed edges (21 undirected). -/ +theorem heawoodVoltage_directedEdges : + (Finset.univ.filter fun p : (Fin 2 × ZMod 7) × (Fin 2 × ZMod 7) => + heawoodVoltage.Adj p.1 p.2).card = 42 := by + native_decide + +/-! ### The Möbius-Kantor graph -/ + +/-- The **Möbius-Kantor graph**: voltage graph on K₂ with Z₈ voltages {0, 1, 3}. +GP(8,3), the generalised Petersen graph. 16 vertices, cubic, girth 6. +Sab(GL(2,3), C₃). -/ +def mobiusKantorVoltage : SimpleGraph (Fin 2 × ZMod 8) := + voltageGraphK2 8 0 1 3 + +instance : DecidableRel mobiusKantorVoltage.Adj := by + intro p q; unfold mobiusKantorVoltage voltageGraphK2; simp only; exact instDecidableOr + +/-- The Möbius-Kantor graph is 3-regular. -/ +theorem mobiusKantorVoltage_regular : + ∀ v : Fin 2 × ZMod 8, + (Finset.univ.filter fun w => mobiusKantorVoltage.Adj v w).card = 3 := by + native_decide + +/-- The Möbius-Kantor graph has 48 directed edges (24 undirected). -/ +theorem mobiusKantorVoltage_directedEdges : + (Finset.univ.filter fun p : (Fin 2 × ZMod 8) × (Fin 2 × ZMod 8) => + mobiusKantorVoltage.Adj p.1 p.2).card = 48 := by + native_decide + +/-! ### Fibre quotients to K₂ -/ + +instance : DecidableRel (heawoodVoltage.quotientGraph + (Prod.fst : Fin 2 × ZMod 7 → Fin 2)).Adj := by + intro i j; unfold SimpleGraph.quotientGraph; simp only; exact instDecidableAnd + +/-- The Heawood graph quotients to K₂ under the fibre projection. -/ +theorem heawoodVoltage_quotient_complete : + ∀ i j : Fin 2, i ≠ j → + (heawoodVoltage.quotientGraph + (Prod.fst : Fin 2 × ZMod 7 → Fin 2)).Adj i j := by + native_decide + +instance : DecidableRel (mobiusKantorVoltage.quotientGraph + (Prod.fst : Fin 2 × ZMod 8 → Fin 2)).Adj := by + intro i j; unfold SimpleGraph.quotientGraph; simp only; exact instDecidableAnd + +/-- The Möbius-Kantor graph quotients to K₂ under the fibre projection. -/ +theorem mobiusKantorVoltage_quotient_complete : + ∀ i j : Fin 2, i ≠ j → + (mobiusKantorVoltage.quotientGraph + (Prod.fst : Fin 2 × ZMod 8 → Fin 2)).Adj i j := by + native_decide diff --git a/Mathlib.lean b/Mathlib.lean index af8a66d0fcb56b..6f64f516b340f4 100644 --- a/Mathlib.lean +++ b/Mathlib.lean @@ -1,6 +1,5 @@ -module -- shake: keep-all --deprecated_module: ignore -public import Std +module -- shake: keep-all --deprecated_module: ignore public import Batteries public import Mathlib.Algebra.AddConstMap.Basic public import Mathlib.Algebra.AddConstMap.Equiv @@ -143,8 +142,8 @@ public import Mathlib.Algebra.Category.Grp.Shrink public import Mathlib.Algebra.Category.Grp.Subobject public import Mathlib.Algebra.Category.Grp.Ulift public import Mathlib.Algebra.Category.Grp.Yoneda -public import Mathlib.Algebra.Category.Grp.ZModuleEquivalence public import Mathlib.Algebra.Category.Grp.Zero +public import Mathlib.Algebra.Category.Grp.ZModuleEquivalence public import Mathlib.Algebra.Category.GrpWithZero public import Mathlib.Algebra.Category.HopfAlgCat.Basic public import Mathlib.Algebra.Category.HopfAlgCat.Monoidal @@ -428,11 +427,10 @@ public import Mathlib.Algebra.Group.Nat.TypeTags public import Mathlib.Algebra.Group.Nat.Units public import Mathlib.Algebra.Group.NatPowAssoc public import Mathlib.Algebra.Group.Opposite -public import Mathlib.Algebra.Group.PNatPowAssoc -public import Mathlib.Algebra.Group.PUnit public import Mathlib.Algebra.Group.Pi.Basic public import Mathlib.Algebra.Group.Pi.Lemmas public import Mathlib.Algebra.Group.Pi.Units +public import Mathlib.Algebra.Group.PNatPowAssoc public import Mathlib.Algebra.Group.Pointwise.Finset.Basic public import Mathlib.Algebra.Group.Pointwise.Finset.BigOperators public import Mathlib.Algebra.Group.Pointwise.Finset.Density @@ -447,6 +445,7 @@ public import Mathlib.Algebra.Group.Pointwise.Set.ListOfFn public import Mathlib.Algebra.Group.Pointwise.Set.Scalar public import Mathlib.Algebra.Group.Pointwise.Set.Small public import Mathlib.Algebra.Group.Prod +public import Mathlib.Algebra.Group.PUnit public import Mathlib.Algebra.Group.Semiconj.Basic public import Mathlib.Algebra.Group.Semiconj.Defs public import Mathlib.Algebra.Group.Semiconj.Units @@ -721,6 +720,7 @@ public import Mathlib.Algebra.Lie.Basic public import Mathlib.Algebra.Lie.Basis public import Mathlib.Algebra.Lie.CartanCriterion public import Mathlib.Algebra.Lie.CartanExists +public import Mathlib.Algebra.Lie.CartanMatrix public import Mathlib.Algebra.Lie.CartanSubalgebra public import Mathlib.Algebra.Lie.Character public import Mathlib.Algebra.Lie.Classical @@ -809,9 +809,8 @@ public import Mathlib.Algebra.Module.LocalizedModule.Submodule public import Mathlib.Algebra.Module.MinimalAxioms public import Mathlib.Algebra.Module.NatInt public import Mathlib.Algebra.Module.Opposite -public import Mathlib.Algebra.Module.PID -public import Mathlib.Algebra.Module.PUnit public import Mathlib.Algebra.Module.Pi +public import Mathlib.Algebra.Module.PID public import Mathlib.Algebra.Module.PointwisePi public import Mathlib.Algebra.Module.Presentation.Basic public import Mathlib.Algebra.Module.Presentation.Cokernel @@ -824,6 +823,7 @@ public import Mathlib.Algebra.Module.Presentation.Tautological public import Mathlib.Algebra.Module.Presentation.Tensor public import Mathlib.Algebra.Module.Prod public import Mathlib.Algebra.Module.Projective +public import Mathlib.Algebra.Module.PUnit public import Mathlib.Algebra.Module.Rat public import Mathlib.Algebra.Module.RingHom public import Mathlib.Algebra.Module.Shrink @@ -900,10 +900,6 @@ public import Mathlib.Algebra.MvPolynomial.SchwartzZippel public import Mathlib.Algebra.MvPolynomial.Supported public import Mathlib.Algebra.MvPolynomial.Variables public import Mathlib.Algebra.NeZero -public import Mathlib.Algebra.NoZeroSMulDivisors.Basic -public import Mathlib.Algebra.NoZeroSMulDivisors.Defs -public import Mathlib.Algebra.NoZeroSMulDivisors.Pi -public import Mathlib.Algebra.NoZeroSMulDivisors.Prod public import Mathlib.Algebra.NonAssoc.LieAdmissible.Defs public import Mathlib.Algebra.NonAssoc.PreLie.Basic public import Mathlib.Algebra.Notation @@ -915,6 +911,10 @@ public import Mathlib.Algebra.Notation.Pi.Basic public import Mathlib.Algebra.Notation.Pi.Defs public import Mathlib.Algebra.Notation.Prod public import Mathlib.Algebra.Notation.Support +public import Mathlib.Algebra.NoZeroSMulDivisors.Basic +public import Mathlib.Algebra.NoZeroSMulDivisors.Defs +public import Mathlib.Algebra.NoZeroSMulDivisors.Pi +public import Mathlib.Algebra.NoZeroSMulDivisors.Prod public import Mathlib.Algebra.Opposites public import Mathlib.Algebra.Order.AbsoluteValue.Basic public import Mathlib.Algebra.Order.AbsoluteValue.Euclidean @@ -1037,6 +1037,7 @@ public import Mathlib.Algebra.Order.Interval.Set.SuccPred public import Mathlib.Algebra.Order.Invertible public import Mathlib.Algebra.Order.IsBotOne public import Mathlib.Algebra.Order.Kleene +public import Mathlib.Algebra.Order.Module.Algebra public import Mathlib.Algebra.Order.Module.Archimedean public import Mathlib.Algebra.Order.Module.Basic public import Mathlib.Algebra.Order.Module.Defs @@ -1079,10 +1080,10 @@ public import Mathlib.Algebra.Order.Nonneg.Floor public import Mathlib.Algebra.Order.Nonneg.Lattice public import Mathlib.Algebra.Order.Nonneg.Module public import Mathlib.Algebra.Order.Nonneg.Ring -public import Mathlib.Algebra.Order.PUnit public import Mathlib.Algebra.Order.Pi public import Mathlib.Algebra.Order.Positive.Field public import Mathlib.Algebra.Order.Positive.Ring +public import Mathlib.Algebra.Order.PUnit public import Mathlib.Algebra.Order.Quantale public import Mathlib.Algebra.Order.Rearrangement public import Mathlib.Algebra.Order.Ring.Abs @@ -1171,6 +1172,7 @@ public import Mathlib.Algebra.Polynomial.Eval.Irreducible public import Mathlib.Algebra.Polynomial.Eval.SMul public import Mathlib.Algebra.Polynomial.Eval.Subring public import Mathlib.Algebra.Polynomial.Expand +public import Mathlib.Algebra.Polynomial.Factors public import Mathlib.Algebra.Polynomial.FieldDivision public import Mathlib.Algebra.Polynomial.GroupRingAction public import Mathlib.Algebra.Polynomial.HasseDeriv @@ -1202,6 +1204,7 @@ public import Mathlib.Algebra.Polynomial.UnitTrinomial public import Mathlib.Algebra.PresentedMonoid.Basic public import Mathlib.Algebra.Prime.Defs public import Mathlib.Algebra.Prime.Lemmas +public import Mathlib.Algebra.QuadraticAlgebra public import Mathlib.Algebra.QuadraticAlgebra.Basic public import Mathlib.Algebra.QuadraticAlgebra.Defs public import Mathlib.Algebra.QuadraticAlgebra.NormDeterminant @@ -1265,13 +1268,13 @@ public import Mathlib.Algebra.Ring.Nat public import Mathlib.Algebra.Ring.NegOnePow public import Mathlib.Algebra.Ring.NonZeroDivisors public import Mathlib.Algebra.Ring.Opposite -public import Mathlib.Algebra.Ring.PUnit public import Mathlib.Algebra.Ring.Parity public import Mathlib.Algebra.Ring.Periodic public import Mathlib.Algebra.Ring.Pi public import Mathlib.Algebra.Ring.Pointwise.Finset public import Mathlib.Algebra.Ring.Pointwise.Set public import Mathlib.Algebra.Ring.Prod +public import Mathlib.Algebra.Ring.PUnit public import Mathlib.Algebra.Ring.Rat public import Mathlib.Algebra.Ring.Regular public import Mathlib.Algebra.Ring.Semiconj @@ -1307,9 +1310,9 @@ public import Mathlib.Algebra.SkewPolynomial.Basic public import Mathlib.Algebra.Squarefree.Basic public import Mathlib.Algebra.Star.Basic public import Mathlib.Algebra.Star.BigOperators -public import Mathlib.Algebra.Star.CHSH public import Mathlib.Algebra.Star.Center public import Mathlib.Algebra.Star.CentroidHom +public import Mathlib.Algebra.Star.CHSH public import Mathlib.Algebra.Star.Conjneg public import Mathlib.Algebra.Star.Free public import Mathlib.Algebra.Star.LinearMap @@ -1496,9 +1499,9 @@ public import Mathlib.AlgebraicTopology.DoldKan.GammaCompN public import Mathlib.AlgebraicTopology.DoldKan.Homotopies public import Mathlib.AlgebraicTopology.DoldKan.HomotopyEquivalence public import Mathlib.AlgebraicTopology.DoldKan.NCompGamma -public import Mathlib.AlgebraicTopology.DoldKan.NReflectsIso public import Mathlib.AlgebraicTopology.DoldKan.Normalized public import Mathlib.AlgebraicTopology.DoldKan.Notations +public import Mathlib.AlgebraicTopology.DoldKan.NReflectsIso public import Mathlib.AlgebraicTopology.DoldKan.PInfty public import Mathlib.AlgebraicTopology.DoldKan.Projections public import Mathlib.AlgebraicTopology.DoldKan.SplitSimplicialObject @@ -1507,8 +1510,8 @@ public import Mathlib.AlgebraicTopology.ExtraDegeneracy public import Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic public import Mathlib.AlgebraicTopology.FundamentalGroupoid.FundamentalGroup public import Mathlib.AlgebraicTopology.FundamentalGroupoid.InducedMaps -public import Mathlib.AlgebraicTopology.FundamentalGroupoid.PUnit public import Mathlib.AlgebraicTopology.FundamentalGroupoid.Product +public import Mathlib.AlgebraicTopology.FundamentalGroupoid.PUnit public import Mathlib.AlgebraicTopology.FundamentalGroupoid.SimplyConnected public import Mathlib.AlgebraicTopology.ModelCategory.Basic public import Mathlib.AlgebraicTopology.ModelCategory.Bifibrant @@ -1640,12 +1643,12 @@ public import Mathlib.AlgebraicTopology.TopologicalSimplex public import Mathlib.Analysis.AbsoluteValue.Equivalence public import Mathlib.Analysis.Analytic.Basic public import Mathlib.Analysis.Analytic.Binomial -public import Mathlib.Analysis.Analytic.CPolynomial -public import Mathlib.Analysis.Analytic.CPolynomialDef public import Mathlib.Analysis.Analytic.ChangeOrigin public import Mathlib.Analysis.Analytic.Composition public import Mathlib.Analysis.Analytic.Constructions public import Mathlib.Analysis.Analytic.ConvergenceRadius +public import Mathlib.Analysis.Analytic.CPolynomial +public import Mathlib.Analysis.Analytic.CPolynomialDef public import Mathlib.Analysis.Analytic.Inverse public import Mathlib.Analysis.Analytic.IsolatedZeros public import Mathlib.Analysis.Analytic.IteratedFDeriv @@ -1655,8 +1658,8 @@ public import Mathlib.Analysis.Analytic.Order public import Mathlib.Analysis.Analytic.Polynomial public import Mathlib.Analysis.Analytic.RadiusLiminf public import Mathlib.Analysis.Analytic.Uniqueness -public import Mathlib.Analysis.Analytic.WithLp public import Mathlib.Analysis.Analytic.Within +public import Mathlib.Analysis.Analytic.WithLp public import Mathlib.Analysis.AperiodicOrder.Delone.Basic public import Mathlib.Analysis.Asymptotics.AsymptoticEquivalent public import Mathlib.Analysis.Asymptotics.Completion @@ -1666,8 +1669,8 @@ public import Mathlib.Analysis.Asymptotics.Lemmas public import Mathlib.Analysis.Asymptotics.LinearGrowth public import Mathlib.Analysis.Asymptotics.SpecificAsymptotics public import Mathlib.Analysis.Asymptotics.SuperpolynomialDecay -public import Mathlib.Analysis.Asymptotics.TVS public import Mathlib.Analysis.Asymptotics.Theta +public import Mathlib.Analysis.Asymptotics.TVS public import Mathlib.Analysis.BoundedVariation public import Mathlib.Analysis.BoxIntegral.Basic public import Mathlib.Analysis.BoxIntegral.Box.Basic @@ -1682,50 +1685,6 @@ public import Mathlib.Analysis.BoxIntegral.Partition.Split public import Mathlib.Analysis.BoxIntegral.Partition.SubboxInduction public import Mathlib.Analysis.BoxIntegral.Partition.Tagged public import Mathlib.Analysis.BoxIntegral.UnitPartition -public import Mathlib.Analysis.CStarAlgebra.ApproximateUnit -public import Mathlib.Analysis.CStarAlgebra.Basic -public import Mathlib.Analysis.CStarAlgebra.CStarMatrix -public import Mathlib.Analysis.CStarAlgebra.Classes -public import Mathlib.Analysis.CStarAlgebra.CompletelyPositiveMap -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Commute -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Continuity -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Note -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Pi -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Projection -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Range -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Restrict -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unique -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital -public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unitary -public import Mathlib.Analysis.CStarAlgebra.ContinuousLinearMap -public import Mathlib.Analysis.CStarAlgebra.ContinuousMap -public import Mathlib.Analysis.CStarAlgebra.Exponential -public import Mathlib.Analysis.CStarAlgebra.Extreme -public import Mathlib.Analysis.CStarAlgebra.Fuglede -public import Mathlib.Analysis.CStarAlgebra.GelfandDuality -public import Mathlib.Analysis.CStarAlgebra.GelfandNaimarkSegal -public import Mathlib.Analysis.CStarAlgebra.Hom -public import Mathlib.Analysis.CStarAlgebra.Matrix -public import Mathlib.Analysis.CStarAlgebra.Module.Constructions -public import Mathlib.Analysis.CStarAlgebra.Module.Defs -public import Mathlib.Analysis.CStarAlgebra.Module.Synonym -public import Mathlib.Analysis.CStarAlgebra.Multiplier -public import Mathlib.Analysis.CStarAlgebra.PositiveLinearMap -public import Mathlib.Analysis.CStarAlgebra.Projection -public import Mathlib.Analysis.CStarAlgebra.SpecialFunctions.PosPart -public import Mathlib.Analysis.CStarAlgebra.Spectrum -public import Mathlib.Analysis.CStarAlgebra.Unitary.Connected -public import Mathlib.Analysis.CStarAlgebra.Unitary.Maps -public import Mathlib.Analysis.CStarAlgebra.Unitary.Span -public import Mathlib.Analysis.CStarAlgebra.Unitization -public import Mathlib.Analysis.CStarAlgebra.lpSpace public import Mathlib.Analysis.Calculus.AbsolutelyMonotone public import Mathlib.Analysis.Calculus.AddTorsor.AffineMap public import Mathlib.Analysis.Calculus.AddTorsor.Coord @@ -1739,21 +1698,20 @@ public import Mathlib.Analysis.Calculus.Conformal.InnerProduct public import Mathlib.Analysis.Calculus.Conformal.NormedSpace public import Mathlib.Analysis.Calculus.ContDiff.Basic public import Mathlib.Analysis.Calculus.ContDiff.Bounds -public import Mathlib.Analysis.Calculus.ContDiff.CPolynomial public import Mathlib.Analysis.Calculus.ContDiff.Comp public import Mathlib.Analysis.Calculus.ContDiff.Convolution +public import Mathlib.Analysis.Calculus.ContDiff.CPolynomial public import Mathlib.Analysis.Calculus.ContDiff.Defs public import Mathlib.Analysis.Calculus.ContDiff.Deriv -public import Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries public import Mathlib.Analysis.Calculus.ContDiff.FaaDiBruno public import Mathlib.Analysis.Calculus.ContDiff.FiniteDimension +public import Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries public import Mathlib.Analysis.Calculus.ContDiff.Operations public import Mathlib.Analysis.Calculus.ContDiff.Polynomial public import Mathlib.Analysis.Calculus.ContDiff.RCLike public import Mathlib.Analysis.Calculus.ContDiff.RestrictScalars public import Mathlib.Analysis.Calculus.ContDiff.WithLp public import Mathlib.Analysis.Calculus.ContDiffHolder.Pointwise -public import Mathlib.Analysis.Calculus.DSlope public import Mathlib.Analysis.Calculus.Darboux public import Mathlib.Analysis.Calculus.Deriv.Abs public import Mathlib.Analysis.Calculus.Deriv.Add @@ -1779,6 +1737,7 @@ public import Mathlib.Analysis.Calculus.DerivativeTest public import Mathlib.Analysis.Calculus.DiffContOnCl public import Mathlib.Analysis.Calculus.DifferentialForm.Basic public import Mathlib.Analysis.Calculus.DifferentialForm.VectorField +public import Mathlib.Analysis.Calculus.DSlope public import Mathlib.Analysis.Calculus.FDeriv.Add public import Mathlib.Analysis.Calculus.FDeriv.Affine public import Mathlib.Analysis.Calculus.FDeriv.Analytic @@ -1824,8 +1783,8 @@ public import Mathlib.Analysis.Calculus.IteratedDeriv.Defs public import Mathlib.Analysis.Calculus.IteratedDeriv.FaaDiBruno public import Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas public import Mathlib.Analysis.Calculus.IteratedDeriv.WithinZpow -public import Mathlib.Analysis.Calculus.LHopital public import Mathlib.Analysis.Calculus.LagrangeMultipliers +public import Mathlib.Analysis.Calculus.LHopital public import Mathlib.Analysis.Calculus.LineDeriv.Basic public import Mathlib.Analysis.Calculus.LineDeriv.IntegrationByParts public import Mathlib.Analysis.Calculus.LineDeriv.Measurable @@ -1842,6 +1801,7 @@ public import Mathlib.Analysis.Calculus.ParametricIntegral public import Mathlib.Analysis.Calculus.ParametricIntervalIntegral public import Mathlib.Analysis.Calculus.Rademacher public import Mathlib.Analysis.Calculus.SmoothSeries +public import Mathlib.Analysis.Calculus.TangentCone public import Mathlib.Analysis.Calculus.TangentCone.Basic public import Mathlib.Analysis.Calculus.TangentCone.Defs public import Mathlib.Analysis.Calculus.TangentCone.DimOne @@ -1896,8 +1856,8 @@ public import Mathlib.Analysis.Complex.Polynomial.Basic public import Mathlib.Analysis.Complex.Polynomial.GaussLucas public import Mathlib.Analysis.Complex.Polynomial.UnitTrinomial public import Mathlib.Analysis.Complex.Positivity -public import Mathlib.Analysis.Complex.ReImTopology public import Mathlib.Analysis.Complex.RealDeriv +public import Mathlib.Analysis.Complex.ReImTopology public import Mathlib.Analysis.Complex.RemovableSingularity public import Mathlib.Analysis.Complex.RiemannMapping public import Mathlib.Analysis.Complex.Schwarz @@ -1993,6 +1953,50 @@ public import Mathlib.Analysis.Convex.TotallyBounded public import Mathlib.Analysis.Convex.Uniform public import Mathlib.Analysis.Convex.Visible public import Mathlib.Analysis.Convolution +public import Mathlib.Analysis.CStarAlgebra.ApproximateUnit +public import Mathlib.Analysis.CStarAlgebra.Basic +public import Mathlib.Analysis.CStarAlgebra.Classes +public import Mathlib.Analysis.CStarAlgebra.CompletelyPositiveMap +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Commute +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Continuity +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Note +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Pi +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Projection +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Range +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Restrict +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unique +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital +public import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unitary +public import Mathlib.Analysis.CStarAlgebra.ContinuousLinearMap +public import Mathlib.Analysis.CStarAlgebra.ContinuousMap +public import Mathlib.Analysis.CStarAlgebra.CStarMatrix +public import Mathlib.Analysis.CStarAlgebra.Exponential +public import Mathlib.Analysis.CStarAlgebra.Extreme +public import Mathlib.Analysis.CStarAlgebra.Fuglede +public import Mathlib.Analysis.CStarAlgebra.GelfandDuality +public import Mathlib.Analysis.CStarAlgebra.GelfandNaimarkSegal +public import Mathlib.Analysis.CStarAlgebra.Hom +public import Mathlib.Analysis.CStarAlgebra.lpSpace +public import Mathlib.Analysis.CStarAlgebra.Matrix +public import Mathlib.Analysis.CStarAlgebra.Module.Constructions +public import Mathlib.Analysis.CStarAlgebra.Module.Defs +public import Mathlib.Analysis.CStarAlgebra.Module.Synonym +public import Mathlib.Analysis.CStarAlgebra.Multiplier +public import Mathlib.Analysis.CStarAlgebra.PositiveLinearMap +public import Mathlib.Analysis.CStarAlgebra.Projection +public import Mathlib.Analysis.CStarAlgebra.SpecialFunctions.PosPart +public import Mathlib.Analysis.CStarAlgebra.Spectrum +public import Mathlib.Analysis.CStarAlgebra.Unitary.Connected +public import Mathlib.Analysis.CStarAlgebra.Unitary.Maps +public import Mathlib.Analysis.CStarAlgebra.Unitary.Span +public import Mathlib.Analysis.CStarAlgebra.Unitization public import Mathlib.Analysis.Distribution.AEEqOfIntegralContDiff public import Mathlib.Analysis.Distribution.ContDiffMapSupportedIn public import Mathlib.Analysis.Distribution.DerivNotation @@ -2043,6 +2047,7 @@ public import Mathlib.Analysis.InnerProductSpace.Harmonic.Basic public import Mathlib.Analysis.InnerProductSpace.Harmonic.Constructions public import Mathlib.Analysis.InnerProductSpace.Harmonic.HarmonicContOnCl public import Mathlib.Analysis.InnerProductSpace.JointEigenspace +public import Mathlib.Analysis.InnerProductSpace.l2Space public import Mathlib.Analysis.InnerProductSpace.Laplacian public import Mathlib.Analysis.InnerProductSpace.LaxMilgram public import Mathlib.Analysis.InnerProductSpace.LinearMap @@ -2075,7 +2080,6 @@ public import Mathlib.Analysis.InnerProductSpace.TensorProduct public import Mathlib.Analysis.InnerProductSpace.Trace public import Mathlib.Analysis.InnerProductSpace.TwoDim public import Mathlib.Analysis.InnerProductSpace.WeakOperatorTopology -public import Mathlib.Analysis.InnerProductSpace.l2Space public import Mathlib.Analysis.LConvolution public import Mathlib.Analysis.LocallyConvex.AbsConvex public import Mathlib.Analysis.LocallyConvex.AbsConvexOpen @@ -2095,6 +2099,7 @@ public import Mathlib.Analysis.LocallyConvex.WeakDual public import Mathlib.Analysis.LocallyConvex.WeakOperatorTopology public import Mathlib.Analysis.LocallyConvex.WeakSpace public import Mathlib.Analysis.LocallyConvex.WithSeminorms +public import Mathlib.Analysis.Matrix public import Mathlib.Analysis.Matrix.Hermitian public import Mathlib.Analysis.Matrix.HermitianFunctionalCalculus public import Mathlib.Analysis.Matrix.LDL @@ -2171,10 +2176,10 @@ public import Mathlib.Analysis.Normed.Group.Pointwise public import Mathlib.Analysis.Normed.Group.Quotient public import Mathlib.Analysis.Normed.Group.Rat public import Mathlib.Analysis.Normed.Group.Real +public import Mathlib.Analysis.Normed.Group.Seminorm public import Mathlib.Analysis.Normed.Group.SemiNormedGrp public import Mathlib.Analysis.Normed.Group.SemiNormedGrp.Completion public import Mathlib.Analysis.Normed.Group.SemiNormedGrp.Kernels -public import Mathlib.Analysis.Normed.Group.Seminorm public import Mathlib.Analysis.Normed.Group.SeparationQuotient public import Mathlib.Analysis.Normed.Group.Subgroup public import Mathlib.Analysis.Normed.Group.Submodule @@ -2184,14 +2189,14 @@ public import Mathlib.Analysis.Normed.Group.Uniform public import Mathlib.Analysis.Normed.Group.ZeroAtInfty public import Mathlib.Analysis.Normed.Lp.Finsupp public import Mathlib.Analysis.Normed.Lp.LpEquiv +public import Mathlib.Analysis.Normed.Lp.lpHolder +public import Mathlib.Analysis.Normed.Lp.lpSpace public import Mathlib.Analysis.Normed.Lp.Matrix public import Mathlib.Analysis.Normed.Lp.MeasurableSpace public import Mathlib.Analysis.Normed.Lp.PiLp public import Mathlib.Analysis.Normed.Lp.ProdLp public import Mathlib.Analysis.Normed.Lp.SmoothApprox public import Mathlib.Analysis.Normed.Lp.WithLp -public import Mathlib.Analysis.Normed.Lp.lpHolder -public import Mathlib.Analysis.Normed.Lp.lpSpace public import Mathlib.Analysis.Normed.Module.Alternating.Basic public import Mathlib.Analysis.Normed.Module.Alternating.Curry public import Mathlib.Analysis.Normed.Module.Alternating.Uncurry.Fin @@ -2208,6 +2213,7 @@ public import Mathlib.Analysis.Normed.Module.ContinuousInverse public import Mathlib.Analysis.Normed.Module.Convex public import Mathlib.Analysis.Normed.Module.DoubleDual public import Mathlib.Analysis.Normed.Module.Dual +public import Mathlib.Analysis.Normed.Module.ENormedSpace public import Mathlib.Analysis.Normed.Module.Extr public import Mathlib.Analysis.Normed.Module.FiniteDimension public import Mathlib.Analysis.Normed.Module.HahnBanach @@ -2218,10 +2224,10 @@ public import Mathlib.Analysis.Normed.Module.MultipliableUniformlyOn public import Mathlib.Analysis.Normed.Module.Normalize public import Mathlib.Analysis.Normed.Module.PiTensorProduct.InjectiveSeminorm public import Mathlib.Analysis.Normed.Module.PiTensorProduct.ProjectiveSeminorm +public import Mathlib.Analysis.Normed.Module.Ray public import Mathlib.Analysis.Normed.Module.RCLike.Basic public import Mathlib.Analysis.Normed.Module.RCLike.Extend public import Mathlib.Analysis.Normed.Module.RCLike.Real -public import Mathlib.Analysis.Normed.Module.Ray public import Mathlib.Analysis.Normed.Module.RieszLemma public import Mathlib.Analysis.Normed.Module.Shrink public import Mathlib.Analysis.Normed.Module.Span @@ -2274,12 +2280,29 @@ public import Mathlib.Analysis.Normed.Unbundled.SeminormFromBounded public import Mathlib.Analysis.Normed.Unbundled.SeminormFromConst public import Mathlib.Analysis.Normed.Unbundled.SmoothingSeminorm public import Mathlib.Analysis.Normed.Unbundled.SpectralNorm +public import Mathlib.Analysis.NormedSpace.Alternating.Basic +public import Mathlib.Analysis.NormedSpace.Alternating.Curry +public import Mathlib.Analysis.NormedSpace.Alternating.Uncurry.Fin +public import Mathlib.Analysis.NormedSpace.Connected +public import Mathlib.Analysis.NormedSpace.ENormedSpace +public import Mathlib.Analysis.NormedSpace.Extr public import Mathlib.Analysis.NormedSpace.FunctionSeries +public import Mathlib.Analysis.NormedSpace.HahnBanach.Extension +public import Mathlib.Analysis.NormedSpace.HahnBanach.SeparatingDual +public import Mathlib.Analysis.NormedSpace.HahnBanach.Separation +public import Mathlib.Analysis.NormedSpace.MStructure +public import Mathlib.Analysis.NormedSpace.Multilinear.Basic +public import Mathlib.Analysis.NormedSpace.Multilinear.Curry +public import Mathlib.Analysis.NormedSpace.MultipliableUniformlyOn +public import Mathlib.Analysis.NormedSpace.Normalize public import Mathlib.Analysis.NormedSpace.OperatorNorm.Completeness public import Mathlib.Analysis.NormedSpace.OperatorNorm.NNNorm public import Mathlib.Analysis.NormedSpace.OperatorNorm.Prod +public import Mathlib.Analysis.NormedSpace.PiTensorProduct.InjectiveSeminorm +public import Mathlib.Analysis.NormedSpace.PiTensorProduct.ProjectiveSeminorm public import Mathlib.Analysis.NormedSpace.RCLike public import Mathlib.Analysis.NormedSpace.Real +public import Mathlib.Analysis.NormedSpace.RieszLemma public import Mathlib.Analysis.ODE.Basic public import Mathlib.Analysis.ODE.DiscreteGronwall public import Mathlib.Analysis.ODE.ExistUnique @@ -2287,8 +2310,6 @@ public import Mathlib.Analysis.ODE.Gronwall public import Mathlib.Analysis.ODE.PicardLindelof public import Mathlib.Analysis.ODE.Transform public import Mathlib.Analysis.Oscillation -public import Mathlib.Analysis.PSeries -public import Mathlib.Analysis.PSeriesComplex public import Mathlib.Analysis.Polynomial.Basic public import Mathlib.Analysis.Polynomial.CauchyBound public import Mathlib.Analysis.Polynomial.Factorization @@ -2296,7 +2317,10 @@ public import Mathlib.Analysis.Polynomial.Fourier public import Mathlib.Analysis.Polynomial.MahlerMeasure public import Mathlib.Analysis.Polynomial.Norm public import Mathlib.Analysis.Polynomial.Order +public import Mathlib.Analysis.PSeries +public import Mathlib.Analysis.PSeriesComplex public import Mathlib.Analysis.Quaternion +public import Mathlib.Analysis.Rat.NatSqrt.Real public import Mathlib.Analysis.RCLike.Basic public import Mathlib.Analysis.RCLike.BoundedContinuous public import Mathlib.Analysis.RCLike.ContinuousMap @@ -2305,7 +2329,6 @@ public import Mathlib.Analysis.RCLike.Inner public import Mathlib.Analysis.RCLike.Lemmas public import Mathlib.Analysis.RCLike.Sqrt public import Mathlib.Analysis.RCLike.TangentCone -public import Mathlib.Analysis.Rat.NatSqrt.Real public import Mathlib.Analysis.Real.Cardinality public import Mathlib.Analysis.Real.Hyperreal public import Mathlib.Analysis.Real.OfDigits @@ -2335,6 +2358,7 @@ public import Mathlib.Analysis.SpecialFunctions.Complex.Log public import Mathlib.Analysis.SpecialFunctions.Complex.LogBounds public import Mathlib.Analysis.SpecialFunctions.Complex.LogDeriv public import Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Abs +public import Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.ExpLog public import Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.ExpLog.Basic public import Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.ExpLog.Order public import Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.PosPart.Basic @@ -2401,6 +2425,7 @@ public import Mathlib.Analysis.SpecialFunctions.Trigonometric.Arctan public import Mathlib.Analysis.SpecialFunctions.Trigonometric.ArctanDeriv public import Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic public import Mathlib.Analysis.SpecialFunctions.Trigonometric.Bounds +public import Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev public import Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev.Basic public import Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev.ChebyshevGauss public import Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev.Extremal @@ -2535,8 +2560,8 @@ public import Mathlib.CategoryTheory.Bicategory.Functor.LocallyDiscrete public import Mathlib.CategoryTheory.Bicategory.Functor.Oplax public import Mathlib.CategoryTheory.Bicategory.Functor.Prelax public import Mathlib.CategoryTheory.Bicategory.Functor.Pseudofunctor -public import Mathlib.CategoryTheory.Bicategory.Functor.StrictPseudofunctor public import Mathlib.CategoryTheory.Bicategory.Functor.StrictlyUnitary +public import Mathlib.CategoryTheory.Bicategory.Functor.StrictPseudofunctor public import Mathlib.CategoryTheory.Bicategory.FunctorBicategory.Lax public import Mathlib.CategoryTheory.Bicategory.FunctorBicategory.Oplax public import Mathlib.CategoryTheory.Bicategory.FunctorBicategory.Pseudo @@ -2591,9 +2616,19 @@ public import Mathlib.CategoryTheory.Center.Linear public import Mathlib.CategoryTheory.Center.Localization public import Mathlib.CategoryTheory.Center.NegOnePow public import Mathlib.CategoryTheory.Center.Preadditive +public import Mathlib.CategoryTheory.Closed.Cartesian +public import Mathlib.CategoryTheory.Closed.Enrichment +public import Mathlib.CategoryTheory.Closed.Functor +public import Mathlib.CategoryTheory.Closed.FunctorCategory.Basic +public import Mathlib.CategoryTheory.Closed.FunctorCategory.Complete +public import Mathlib.CategoryTheory.Closed.FunctorCategory.Groupoid +public import Mathlib.CategoryTheory.Closed.FunctorToTypes +public import Mathlib.CategoryTheory.Closed.Ideal +public import Mathlib.CategoryTheory.Closed.Monoidal +public import Mathlib.CategoryTheory.Closed.Types +public import Mathlib.CategoryTheory.Closed.Zero public import Mathlib.CategoryTheory.CodiscreteCategory public import Mathlib.CategoryTheory.CofilteredSystem -public import Mathlib.CategoryTheory.CommSq public import Mathlib.CategoryTheory.Comma.Arrow public import Mathlib.CategoryTheory.Comma.Basic public import Mathlib.CategoryTheory.Comma.CardinalArrow @@ -2611,6 +2646,7 @@ public import Mathlib.CategoryTheory.Comma.StructuredArrow.CommaMap public import Mathlib.CategoryTheory.Comma.StructuredArrow.Final public import Mathlib.CategoryTheory.Comma.StructuredArrow.Functor public import Mathlib.CategoryTheory.Comma.StructuredArrow.Small +public import Mathlib.CategoryTheory.CommSq public import Mathlib.CategoryTheory.ComposableArrows.Basic public import Mathlib.CategoryTheory.ComposableArrows.Four public import Mathlib.CategoryTheory.ComposableArrows.One @@ -2648,6 +2684,7 @@ public import Mathlib.CategoryTheory.EffectiveEpi.Coproduct public import Mathlib.CategoryTheory.EffectiveEpi.Enough public import Mathlib.CategoryTheory.EffectiveEpi.Extensive public import Mathlib.CategoryTheory.EffectiveEpi.Preserves +public import Mathlib.CategoryTheory.EffectiveEpi.RegularEpi public import Mathlib.CategoryTheory.Elements public import Mathlib.CategoryTheory.Elementwise public import Mathlib.CategoryTheory.Endofunctor.Algebra @@ -2849,7 +2886,6 @@ public import Mathlib.CategoryTheory.Limits.FunctorCategory.Shapes.Pullbacks public import Mathlib.CategoryTheory.Limits.FunctorCategory.Shapes.Terminal public import Mathlib.CategoryTheory.Limits.FunctorToTypes public import Mathlib.CategoryTheory.Limits.HasLimits -public import Mathlib.CategoryTheory.Limits.IndYoneda public import Mathlib.CategoryTheory.Limits.Indization.Category public import Mathlib.CategoryTheory.Limits.Indization.Equalizers public import Mathlib.CategoryTheory.Limits.Indization.FilteredColimits @@ -2857,6 +2893,7 @@ public import Mathlib.CategoryTheory.Limits.Indization.IndObject public import Mathlib.CategoryTheory.Limits.Indization.LocallySmall public import Mathlib.CategoryTheory.Limits.Indization.ParallelPair public import Mathlib.CategoryTheory.Limits.Indization.Products +public import Mathlib.CategoryTheory.Limits.IndYoneda public import Mathlib.CategoryTheory.Limits.IsConnected public import Mathlib.CategoryTheory.Limits.IsLimit public import Mathlib.CategoryTheory.Limits.Lattice @@ -2950,11 +2987,11 @@ public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.Equalizer public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.Equifibered public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.EquifiberedLimits public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.HasPullback +public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.Iso public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.Basic public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.BicartesianSq public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.Defs public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.Kernels -public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.Iso public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.Mono public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.Pasting public import Mathlib.CategoryTheory.Limits.Shapes.Pullback.PullbackCone @@ -2977,9 +3014,9 @@ public import Mathlib.CategoryTheory.Limits.Sifted public import Mathlib.CategoryTheory.Limits.Skeleton public import Mathlib.CategoryTheory.Limits.SmallComplete public import Mathlib.CategoryTheory.Limits.Types.Coequalizers +public import Mathlib.CategoryTheory.Limits.Types.Colimits public import Mathlib.CategoryTheory.Limits.Types.ColimitType public import Mathlib.CategoryTheory.Limits.Types.ColimitTypeFiltered -public import Mathlib.CategoryTheory.Limits.Types.Colimits public import Mathlib.CategoryTheory.Limits.Types.Coproducts public import Mathlib.CategoryTheory.Limits.Types.End public import Mathlib.CategoryTheory.Limits.Types.Equalizers @@ -2991,6 +3028,7 @@ public import Mathlib.CategoryTheory.Limits.Types.Multiequalizer public import Mathlib.CategoryTheory.Limits.Types.Products public import Mathlib.CategoryTheory.Limits.Types.Pullbacks public import Mathlib.CategoryTheory.Limits.Types.Pushouts +public import Mathlib.CategoryTheory.Limits.Types.Shapes public import Mathlib.CategoryTheory.Limits.Types.Yoneda public import Mathlib.CategoryTheory.Limits.Unit public import Mathlib.CategoryTheory.Limits.VanKampen @@ -3027,6 +3065,7 @@ public import Mathlib.CategoryTheory.Localization.HomEquiv public import Mathlib.CategoryTheory.Localization.Linear public import Mathlib.CategoryTheory.Localization.LocalizerMorphism public import Mathlib.CategoryTheory.Localization.LocallySmall +public import Mathlib.CategoryTheory.Localization.Monoidal public import Mathlib.CategoryTheory.Localization.Monoidal.Basic public import Mathlib.CategoryTheory.Localization.Monoidal.Braided public import Mathlib.CategoryTheory.Localization.Monoidal.Functor @@ -3082,8 +3121,8 @@ public import Mathlib.CategoryTheory.Monoidal.Cartesian.CommMon_ public import Mathlib.CategoryTheory.Monoidal.Cartesian.Comon_ public import Mathlib.CategoryTheory.Monoidal.Cartesian.FunctorCategory public import Mathlib.CategoryTheory.Monoidal.Cartesian.Grp -public import Mathlib.CategoryTheory.Monoidal.Cartesian.GrpLimits public import Mathlib.CategoryTheory.Monoidal.Cartesian.Grp_ +public import Mathlib.CategoryTheory.Monoidal.Cartesian.GrpLimits public import Mathlib.CategoryTheory.Monoidal.Cartesian.InfSemilattice public import Mathlib.CategoryTheory.Monoidal.Cartesian.Mod public import Mathlib.CategoryTheory.Monoidal.Cartesian.Mod_ @@ -3228,17 +3267,16 @@ public import Mathlib.CategoryTheory.ObjectProperty.ShiftAdditive public import Mathlib.CategoryTheory.ObjectProperty.SiteLocal public import Mathlib.CategoryTheory.ObjectProperty.Small public import Mathlib.CategoryTheory.Opposites -public import Mathlib.CategoryTheory.PEmpty -public import Mathlib.CategoryTheory.PUnit public import Mathlib.CategoryTheory.PathCategory.Basic public import Mathlib.CategoryTheory.PathCategory.MorphismProperty +public import Mathlib.CategoryTheory.PEmpty public import Mathlib.CategoryTheory.Pi.Basic public import Mathlib.CategoryTheory.Pi.Monoidal public import Mathlib.CategoryTheory.Preadditive.AdditiveFunctor public import Mathlib.CategoryTheory.Preadditive.Basic public import Mathlib.CategoryTheory.Preadditive.Biproducts -public import Mathlib.CategoryTheory.Preadditive.CommGrp_ public import Mathlib.CategoryTheory.Preadditive.Comma +public import Mathlib.CategoryTheory.Preadditive.CommGrp_ public import Mathlib.CategoryTheory.Preadditive.EilenbergMoore public import Mathlib.CategoryTheory.Preadditive.EndoFunctor public import Mathlib.CategoryTheory.Preadditive.FunctorCategory @@ -3288,6 +3326,7 @@ public import Mathlib.CategoryTheory.Products.Basic public import Mathlib.CategoryTheory.Products.Bifunctor public import Mathlib.CategoryTheory.Products.Unitor public import Mathlib.CategoryTheory.Profunctor.Basic +public import Mathlib.CategoryTheory.PUnit public import Mathlib.CategoryTheory.Quotient public import Mathlib.CategoryTheory.Quotient.Linear public import Mathlib.CategoryTheory.Quotient.LocallySmall @@ -3306,9 +3345,9 @@ public import Mathlib.CategoryTheory.Shift.Localization public import Mathlib.CategoryTheory.Shift.Opposite public import Mathlib.CategoryTheory.Shift.Pullback public import Mathlib.CategoryTheory.Shift.Quotient -public import Mathlib.CategoryTheory.Shift.ShiftSequence public import Mathlib.CategoryTheory.Shift.ShiftedHom public import Mathlib.CategoryTheory.Shift.ShiftedHomOpposite +public import Mathlib.CategoryTheory.Shift.ShiftSequence public import Mathlib.CategoryTheory.Shift.SingleFunctors public import Mathlib.CategoryTheory.Shift.SingleFunctorsLift public import Mathlib.CategoryTheory.Shift.Twist @@ -3343,9 +3382,9 @@ public import Mathlib.CategoryTheory.Sites.ConcreteSheafification public import Mathlib.CategoryTheory.Sites.ConstantSheaf public import Mathlib.CategoryTheory.Sites.Continuous public import Mathlib.CategoryTheory.Sites.CoproductSheafCondition +public import Mathlib.CategoryTheory.Sites.Coverage public import Mathlib.CategoryTheory.Sites.CoverLifting public import Mathlib.CategoryTheory.Sites.CoverPreserving -public import Mathlib.CategoryTheory.Sites.Coverage public import Mathlib.CategoryTheory.Sites.CoversTop public import Mathlib.CategoryTheory.Sites.CoversTop.Basic public import Mathlib.CategoryTheory.Sites.CoversTop.Over @@ -3379,12 +3418,12 @@ public import Mathlib.CategoryTheory.Sites.IsSheafFor public import Mathlib.CategoryTheory.Sites.JointlySurjective public import Mathlib.CategoryTheory.Sites.LeftExact public import Mathlib.CategoryTheory.Sites.Limits -public import Mathlib.CategoryTheory.Sites.LocalProperties public import Mathlib.CategoryTheory.Sites.Localization public import Mathlib.CategoryTheory.Sites.LocallyBijective public import Mathlib.CategoryTheory.Sites.LocallyFullyFaithful public import Mathlib.CategoryTheory.Sites.LocallyInjective public import Mathlib.CategoryTheory.Sites.LocallySurjective +public import Mathlib.CategoryTheory.Sites.LocalProperties public import Mathlib.CategoryTheory.Sites.MayerVietorisSquare public import Mathlib.CategoryTheory.Sites.Monoidal public import Mathlib.CategoryTheory.Sites.MorphismProperty @@ -3419,8 +3458,8 @@ public import Mathlib.CategoryTheory.Sites.SheafCohomology.Basic public import Mathlib.CategoryTheory.Sites.SheafCohomology.Cech public import Mathlib.CategoryTheory.Sites.SheafCohomology.MayerVietoris public import Mathlib.CategoryTheory.Sites.SheafHom -public import Mathlib.CategoryTheory.Sites.SheafOfTypes public import Mathlib.CategoryTheory.Sites.Sheafification +public import Mathlib.CategoryTheory.Sites.SheafOfTypes public import Mathlib.CategoryTheory.Sites.Sieves public import Mathlib.CategoryTheory.Sites.Spaces public import Mathlib.CategoryTheory.Sites.Subcanonical @@ -3462,6 +3501,13 @@ public import Mathlib.CategoryTheory.Subobject.NoetherianObject public import Mathlib.CategoryTheory.Subobject.Presheaf public import Mathlib.CategoryTheory.Subobject.Types public import Mathlib.CategoryTheory.Subobject.WellPowered +public import Mathlib.CategoryTheory.Subpresheaf.Basic +public import Mathlib.CategoryTheory.Subpresheaf.Equalizer +public import Mathlib.CategoryTheory.Subpresheaf.Finite +public import Mathlib.CategoryTheory.Subpresheaf.Image +public import Mathlib.CategoryTheory.Subpresheaf.OfSection +public import Mathlib.CategoryTheory.Subpresheaf.Sieves +public import Mathlib.CategoryTheory.Subpresheaf.Subobject public import Mathlib.CategoryTheory.Subterminal public import Mathlib.CategoryTheory.Sums.Associator public import Mathlib.CategoryTheory.Sums.Basic @@ -3487,6 +3533,8 @@ public import Mathlib.CategoryTheory.Triangulated.Pretriangulated public import Mathlib.CategoryTheory.Triangulated.Rotate public import Mathlib.CategoryTheory.Triangulated.SpectralObject public import Mathlib.CategoryTheory.Triangulated.Subcategory +public import Mathlib.CategoryTheory.Triangulated.TriangleShift +public import Mathlib.CategoryTheory.Triangulated.Triangulated public import Mathlib.CategoryTheory.Triangulated.TStructure.AbelianSubcategory public import Mathlib.CategoryTheory.Triangulated.TStructure.Basic public import Mathlib.CategoryTheory.Triangulated.TStructure.ETrunc @@ -3495,8 +3543,6 @@ public import Mathlib.CategoryTheory.Triangulated.TStructure.Induced public import Mathlib.CategoryTheory.Triangulated.TStructure.SpectralObject public import Mathlib.CategoryTheory.Triangulated.TStructure.TruncLEGT public import Mathlib.CategoryTheory.Triangulated.TStructure.TruncLTGE -public import Mathlib.CategoryTheory.Triangulated.TriangleShift -public import Mathlib.CategoryTheory.Triangulated.Triangulated public import Mathlib.CategoryTheory.Triangulated.WeakKernels public import Mathlib.CategoryTheory.Triangulated.Yoneda public import Mathlib.CategoryTheory.Types.Basic @@ -3521,9 +3567,9 @@ public import Mathlib.Combinatorics.Additive.Corner.Roth public import Mathlib.Combinatorics.Additive.CovBySMul public import Mathlib.Combinatorics.Additive.Dissociation public import Mathlib.Combinatorics.Additive.DoublingConst -public import Mathlib.Combinatorics.Additive.ETransform public import Mathlib.Combinatorics.Additive.Energy public import Mathlib.Combinatorics.Additive.ErdosGinzburgZiv +public import Mathlib.Combinatorics.Additive.ETransform public import Mathlib.Combinatorics.Additive.FreimanHom public import Mathlib.Combinatorics.Additive.PluenneckeRuzsa public import Mathlib.Combinatorics.Additive.Randomisation @@ -3531,6 +3577,7 @@ public import Mathlib.Combinatorics.Additive.RuzsaCovering public import Mathlib.Combinatorics.Additive.SmallTripling public import Mathlib.Combinatorics.Additive.SubsetSum public import Mathlib.Combinatorics.Additive.VerySmallDoubling +public import Mathlib.Combinatorics.CellularSurface public import Mathlib.Combinatorics.Colex public import Mathlib.Combinatorics.Compactness public import Mathlib.Combinatorics.Configuration @@ -3548,6 +3595,7 @@ public import Mathlib.Combinatorics.Enumerative.DoubleCounting public import Mathlib.Combinatorics.Enumerative.DyckWord public import Mathlib.Combinatorics.Enumerative.IncidenceAlgebra public import Mathlib.Combinatorics.Enumerative.InclusionExclusion +public import Mathlib.Combinatorics.Enumerative.Partition public import Mathlib.Combinatorics.Enumerative.Partition.Basic public import Mathlib.Combinatorics.Enumerative.Partition.GenFun public import Mathlib.Combinatorics.Enumerative.Partition.Glaisher @@ -3614,6 +3662,7 @@ public import Mathlib.Combinatorics.SetFamily.KruskalKatona public import Mathlib.Combinatorics.SetFamily.LYM public import Mathlib.Combinatorics.SetFamily.Shadow public import Mathlib.Combinatorics.SetFamily.Shatter +public import Mathlib.Combinatorics.SimpleGraph.Action public import Mathlib.Combinatorics.SimpleGraph.Acyclic public import Mathlib.Combinatorics.SimpleGraph.AdjMatrix public import Mathlib.Combinatorics.SimpleGraph.Basic @@ -3636,6 +3685,7 @@ public import Mathlib.Combinatorics.SimpleGraph.Connectivity.Subgraph public import Mathlib.Combinatorics.SimpleGraph.Connectivity.WalkCounting public import Mathlib.Combinatorics.SimpleGraph.Connectivity.WalkDecomp public import Mathlib.Combinatorics.SimpleGraph.Copy +public import Mathlib.Combinatorics.SimpleGraph.CosetGraph public import Mathlib.Combinatorics.SimpleGraph.CycleGraph public import Mathlib.Combinatorics.SimpleGraph.Dart public import Mathlib.Combinatorics.SimpleGraph.DegreeSum @@ -3666,6 +3716,7 @@ public import Mathlib.Combinatorics.SimpleGraph.Operations public import Mathlib.Combinatorics.SimpleGraph.Partition public import Mathlib.Combinatorics.SimpleGraph.Paths public import Mathlib.Combinatorics.SimpleGraph.Prod +public import Mathlib.Combinatorics.SimpleGraph.QuotientGraph public import Mathlib.Combinatorics.SimpleGraph.Regularity.Bound public import Mathlib.Combinatorics.SimpleGraph.Regularity.Chunk public import Mathlib.Combinatorics.SimpleGraph.Regularity.Energy @@ -3673,10 +3724,13 @@ public import Mathlib.Combinatorics.SimpleGraph.Regularity.Equitabilise public import Mathlib.Combinatorics.SimpleGraph.Regularity.Increment public import Mathlib.Combinatorics.SimpleGraph.Regularity.Lemma public import Mathlib.Combinatorics.SimpleGraph.Regularity.Uniform +public import Mathlib.Combinatorics.SimpleGraph.Representation +public import Mathlib.Combinatorics.SimpleGraph.SabidussiWitness public import Mathlib.Combinatorics.SimpleGraph.Star public import Mathlib.Combinatorics.SimpleGraph.StronglyRegular public import Mathlib.Combinatorics.SimpleGraph.Subgraph public import Mathlib.Combinatorics.SimpleGraph.Sum +public import Mathlib.Combinatorics.SimpleGraph.Symmetric public import Mathlib.Combinatorics.SimpleGraph.Trails public import Mathlib.Combinatorics.SimpleGraph.Triangle.Basic public import Mathlib.Combinatorics.SimpleGraph.Triangle.Counting @@ -3686,6 +3740,7 @@ public import Mathlib.Combinatorics.SimpleGraph.Tutte public import Mathlib.Combinatorics.SimpleGraph.UnitDistance.Basic public import Mathlib.Combinatorics.SimpleGraph.UniversalVerts public import Mathlib.Combinatorics.SimpleGraph.VertexCover +public import Mathlib.Combinatorics.SimpleGraph.Walk public import Mathlib.Combinatorics.SimpleGraph.Walk.Basic public import Mathlib.Combinatorics.SimpleGraph.Walk.Chord public import Mathlib.Combinatorics.SimpleGraph.Walk.Counting @@ -3728,10 +3783,10 @@ public import Mathlib.Computability.RecursiveIn public import Mathlib.Computability.Reduce public import Mathlib.Computability.RegularExpressions public import Mathlib.Computability.StateTransition +public import Mathlib.Computability.Tape public import Mathlib.Computability.TMComputable public import Mathlib.Computability.TMConfig public import Mathlib.Computability.TMToPartrec -public import Mathlib.Computability.Tape public import Mathlib.Computability.TuringDegree public import Mathlib.Computability.TuringMachine public import Mathlib.Computability.TuringMachine.Computable @@ -3802,6 +3857,7 @@ public import Mathlib.Control.ULiftable public import Mathlib.Data.Analysis.Filter public import Mathlib.Data.Analysis.Topology public import Mathlib.Data.Array.Defs +public import Mathlib.Data.Array.Extract public import Mathlib.Data.BitVec public import Mathlib.Data.Bool.AllAny public import Mathlib.Data.Bool.Basic @@ -3832,6 +3888,11 @@ public import Mathlib.Data.DFinsupp.Small public import Mathlib.Data.DFinsupp.Submonoid public import Mathlib.Data.DFinsupp.WellFounded public import Mathlib.Data.DList.Instances +public import Mathlib.Data.ENat.Basic +public import Mathlib.Data.ENat.BigOperators +public import Mathlib.Data.ENat.Defs +public import Mathlib.Data.ENat.Lattice +public import Mathlib.Data.ENat.Pow public import Mathlib.Data.ENNReal.Action public import Mathlib.Data.ENNReal.Basic public import Mathlib.Data.ENNReal.BigOperators @@ -3840,16 +3901,10 @@ public import Mathlib.Data.ENNReal.Inv public import Mathlib.Data.ENNReal.Lemmas public import Mathlib.Data.ENNReal.Operations public import Mathlib.Data.ENNReal.Real -public import Mathlib.Data.ENat.Basic -public import Mathlib.Data.ENat.BigOperators -public import Mathlib.Data.ENat.Defs -public import Mathlib.Data.ENat.Lattice -public import Mathlib.Data.ENat.Pow +public import Mathlib.Data.Erased public import Mathlib.Data.EReal.Basic public import Mathlib.Data.EReal.Inv public import Mathlib.Data.EReal.Operations -public import Mathlib.Data.Erased -public import Mathlib.Data.FP.Basic public import Mathlib.Data.Fin.Basic public import Mathlib.Data.Fin.Embedding public import Mathlib.Data.Fin.Fin2 @@ -3916,19 +3971,19 @@ public import Mathlib.Data.Finset.NatDivisors public import Mathlib.Data.Finset.NoncommProd public import Mathlib.Data.Finset.Option public import Mathlib.Data.Finset.Order -public import Mathlib.Data.Finset.PImage public import Mathlib.Data.Finset.Pairwise public import Mathlib.Data.Finset.Pi -public import Mathlib.Data.Finset.PiInduction public import Mathlib.Data.Finset.Piecewise +public import Mathlib.Data.Finset.PiInduction +public import Mathlib.Data.Finset.PImage public import Mathlib.Data.Finset.Powerset public import Mathlib.Data.Finset.Preimage public import Mathlib.Data.Finset.Prod public import Mathlib.Data.Finset.Range public import Mathlib.Data.Finset.SDiff -public import Mathlib.Data.Finset.SMulAntidiagonal public import Mathlib.Data.Finset.Sigma public import Mathlib.Data.Finset.Slice +public import Mathlib.Data.Finset.SMulAntidiagonal public import Mathlib.Data.Finset.Sort public import Mathlib.Data.Finset.Sum public import Mathlib.Data.Finset.Sups @@ -3955,13 +4010,13 @@ public import Mathlib.Data.Finsupp.NeLocus public import Mathlib.Data.Finsupp.Notation public import Mathlib.Data.Finsupp.Option public import Mathlib.Data.Finsupp.Order -public import Mathlib.Data.Finsupp.PWO public import Mathlib.Data.Finsupp.Pointwise public import Mathlib.Data.Finsupp.PointwiseSMul -public import Mathlib.Data.Finsupp.SMul -public import Mathlib.Data.Finsupp.SMulWithZero +public import Mathlib.Data.Finsupp.PWO public import Mathlib.Data.Finsupp.Sigma public import Mathlib.Data.Finsupp.Single +public import Mathlib.Data.Finsupp.SMul +public import Mathlib.Data.Finsupp.SMulWithZero public import Mathlib.Data.Finsupp.ToDFinsupp public import Mathlib.Data.Finsupp.Weight public import Mathlib.Data.Finsupp.WellFounded @@ -3993,6 +4048,7 @@ public import Mathlib.Data.Fintype.Sum public import Mathlib.Data.Fintype.Units public import Mathlib.Data.Fintype.Vector public import Mathlib.Data.Fintype.WithTopBot +public import Mathlib.Data.FP.Basic public import Mathlib.Data.FunLike.Basic public import Mathlib.Data.FunLike.Embedding public import Mathlib.Data.FunLike.Equiv @@ -4060,6 +4116,7 @@ public import Mathlib.Data.List.Indexes public import Mathlib.Data.List.Induction public import Mathlib.Data.List.Infix public import Mathlib.Data.List.InsertIdx +public import Mathlib.Data.List.InsertNth public import Mathlib.Data.List.Intervals public import Mathlib.Data.List.Iterate public import Mathlib.Data.List.Lattice @@ -4073,8 +4130,8 @@ public import Mathlib.Data.List.Monad public import Mathlib.Data.List.NatAntidiagonal public import Mathlib.Data.List.Nodup public import Mathlib.Data.List.NodupEquivFin -public import Mathlib.Data.List.OfFn public import Mathlib.Data.List.OffDiag +public import Mathlib.Data.List.OfFn public import Mathlib.Data.List.Pairwise public import Mathlib.Data.List.Palindrome public import Mathlib.Data.List.PeriodicityLemma @@ -4097,9 +4154,9 @@ public import Mathlib.Data.List.SplitLengths public import Mathlib.Data.List.SplitOn public import Mathlib.Data.List.Sublists public import Mathlib.Data.List.Sym -public import Mathlib.Data.List.TFAE public import Mathlib.Data.List.TakeDrop public import Mathlib.Data.List.TakeWhile +public import Mathlib.Data.List.TFAE public import Mathlib.Data.List.ToFinsupp public import Mathlib.Data.List.Triplewise public import Mathlib.Data.List.Zip @@ -4112,8 +4169,8 @@ public import Mathlib.Data.Matrix.Block public import Mathlib.Data.Matrix.Cartan public import Mathlib.Data.Matrix.ColumnRowPartitioned public import Mathlib.Data.Matrix.Composition -public import Mathlib.Data.Matrix.DMatrix public import Mathlib.Data.Matrix.Diagonal +public import Mathlib.Data.Matrix.DMatrix public import Mathlib.Data.Matrix.DualNumber public import Mathlib.Data.Matrix.Invertible public import Mathlib.Data.Matrix.Mul @@ -4148,15 +4205,6 @@ public import Mathlib.Data.Multiset.Sum public import Mathlib.Data.Multiset.Sym public import Mathlib.Data.Multiset.UnionInter public import Mathlib.Data.Multiset.ZeroCons -public import Mathlib.Data.NNRat.BigOperators -public import Mathlib.Data.NNRat.Defs -public import Mathlib.Data.NNRat.Encodable -public import Mathlib.Data.NNRat.Floor -public import Mathlib.Data.NNRat.Lemmas -public import Mathlib.Data.NNRat.Order -public import Mathlib.Data.NNReal.Basic -public import Mathlib.Data.NNReal.Defs -public import Mathlib.Data.NNReal.Star public import Mathlib.Data.Nat.Basic public import Mathlib.Data.Nat.BinaryRec public import Mathlib.Data.Nat.BitIndices @@ -4182,6 +4230,7 @@ public import Mathlib.Data.Nat.Choose.Central public import Mathlib.Data.Nat.Choose.Dvd public import Mathlib.Data.Nat.Choose.Factorization public import Mathlib.Data.Nat.Choose.Lucas +public import Mathlib.Data.Nat.Choose.Mul public import Mathlib.Data.Nat.Choose.Multinomial public import Mathlib.Data.Nat.Choose.Sum public import Mathlib.Data.Nat.Choose.Vandermonde @@ -4223,7 +4272,6 @@ public import Mathlib.Data.Nat.Notation public import Mathlib.Data.Nat.Nth public import Mathlib.Data.Nat.NthRoot.Defs public import Mathlib.Data.Nat.Order.Lemmas -public import Mathlib.Data.Nat.PSub public import Mathlib.Data.Nat.Pairing public import Mathlib.Data.Nat.Periodic public import Mathlib.Data.Nat.Prime.Basic @@ -4234,6 +4282,7 @@ public import Mathlib.Data.Nat.Prime.Int public import Mathlib.Data.Nat.Prime.Nth public import Mathlib.Data.Nat.Prime.Pow public import Mathlib.Data.Nat.PrimeFin +public import Mathlib.Data.Nat.PSub public import Mathlib.Data.Nat.Set public import Mathlib.Data.Nat.Size public import Mathlib.Data.Nat.Sqrt @@ -4242,6 +4291,15 @@ public import Mathlib.Data.Nat.SuccPred public import Mathlib.Data.Nat.Totient public import Mathlib.Data.Nat.Upto public import Mathlib.Data.Nat.WithBot +public import Mathlib.Data.NNRat.BigOperators +public import Mathlib.Data.NNRat.Defs +public import Mathlib.Data.NNRat.Encodable +public import Mathlib.Data.NNRat.Floor +public import Mathlib.Data.NNRat.Lemmas +public import Mathlib.Data.NNRat.Order +public import Mathlib.Data.NNReal.Basic +public import Mathlib.Data.NNReal.Defs +public import Mathlib.Data.NNReal.Star public import Mathlib.Data.Num.Basic public import Mathlib.Data.Num.Bitwise public import Mathlib.Data.Num.Lemmas @@ -4256,6 +4314,7 @@ public import Mathlib.Data.Ordering.Lemmas public import Mathlib.Data.Ordmap.Invariants public import Mathlib.Data.Ordmap.Ordnode public import Mathlib.Data.Ordmap.Ordset +public import Mathlib.Data.Part public import Mathlib.Data.PEquiv public import Mathlib.Data.PFun public import Mathlib.Data.PFunctor.Multivariate.Basic @@ -4263,6 +4322,7 @@ public import Mathlib.Data.PFunctor.Multivariate.M public import Mathlib.Data.PFunctor.Multivariate.W public import Mathlib.Data.PFunctor.Univariate.Basic public import Mathlib.Data.PFunctor.Univariate.M +public import Mathlib.Data.Pi.Interval public import Mathlib.Data.PNat.Basic public import Mathlib.Data.PNat.Defs public import Mathlib.Data.PNat.Equiv @@ -4273,13 +4333,11 @@ public import Mathlib.Data.PNat.Notation public import Mathlib.Data.PNat.Order public import Mathlib.Data.PNat.Prime public import Mathlib.Data.PNat.Xgcd -public import Mathlib.Data.PSigma.Order -public import Mathlib.Data.Part -public import Mathlib.Data.Pi.Interval public import Mathlib.Data.Prod.Basic public import Mathlib.Data.Prod.Lex public import Mathlib.Data.Prod.PProd public import Mathlib.Data.Prod.TProd +public import Mathlib.Data.PSigma.Order public import Mathlib.Data.QPF.Multivariate.Basic public import Mathlib.Data.QPF.Multivariate.Constructions.Cofix public import Mathlib.Data.QPF.Multivariate.Constructions.Comp @@ -4311,8 +4369,8 @@ public import Mathlib.Data.Real.Archimedean public import Mathlib.Data.Real.Basic public import Mathlib.Data.Real.CompleteField public import Mathlib.Data.Real.ConjExponents -public import Mathlib.Data.Real.ENatENNReal public import Mathlib.Data.Real.Embedding +public import Mathlib.Data.Real.ENatENNReal public import Mathlib.Data.Real.Hom public import Mathlib.Data.Real.Pointwise public import Mathlib.Data.Real.Sign @@ -4322,7 +4380,6 @@ public import Mathlib.Data.Real.StarOrdered public import Mathlib.Data.Rel public import Mathlib.Data.Rel.Cover public import Mathlib.Data.Rel.Separated -public import Mathlib.Data.SProd public import Mathlib.Data.Semiquot public import Mathlib.Data.Seq.Basic public import Mathlib.Data.Seq.Computation @@ -4330,8 +4387,8 @@ public import Mathlib.Data.Seq.Defs public import Mathlib.Data.Seq.Parallel public import Mathlib.Data.Set.Accumulate public import Mathlib.Data.Set.Basic -public import Mathlib.Data.Set.BoolIndicator public import Mathlib.Data.Set.BooleanAlgebra +public import Mathlib.Data.Set.BoolIndicator public import Mathlib.Data.Set.Card public import Mathlib.Data.Set.Card.Arithmetic public import Mathlib.Data.Set.CoeSort @@ -4375,9 +4432,9 @@ public import Mathlib.Data.Set.Pointwise.Support public import Mathlib.Data.Set.PowersetCard public import Mathlib.Data.Set.Prod public import Mathlib.Data.Set.Restrict -public import Mathlib.Data.Set.SMulAntidiagonal public import Mathlib.Data.Set.Semiring public import Mathlib.Data.Set.Sigma +public import Mathlib.Data.Set.SMulAntidiagonal public import Mathlib.Data.Set.Subset public import Mathlib.Data.Set.Subsingleton public import Mathlib.Data.Set.Sups @@ -4394,6 +4451,7 @@ public import Mathlib.Data.Sigma.Lex public import Mathlib.Data.Sigma.Order public import Mathlib.Data.Sign.Basic public import Mathlib.Data.Sign.Defs +public import Mathlib.Data.SProd public import Mathlib.Data.Stream.Defs public import Mathlib.Data.Stream.Init public import Mathlib.Data.String.Basic @@ -4511,6 +4569,7 @@ public import Mathlib.FieldTheory.IntermediateField.Adjoin.Defs public import Mathlib.FieldTheory.IntermediateField.Algebraic public import Mathlib.FieldTheory.IntermediateField.Basic public import Mathlib.FieldTheory.IntermediateField.ExtendRight +public import Mathlib.FieldTheory.Isaacs public import Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure public import Mathlib.FieldTheory.IsAlgClosed.Basic public import Mathlib.FieldTheory.IsAlgClosed.Classification @@ -4518,7 +4577,6 @@ public import Mathlib.FieldTheory.IsAlgClosed.Spectrum public import Mathlib.FieldTheory.IsPerfectClosure public import Mathlib.FieldTheory.IsRealClosed.Basic public import Mathlib.FieldTheory.IsSepClosed -public import Mathlib.FieldTheory.Isaacs public import Mathlib.FieldTheory.JacobsonNoether public import Mathlib.FieldTheory.KrullTopology public import Mathlib.FieldTheory.KummerExtension @@ -4620,8 +4678,8 @@ public import Mathlib.Geometry.Group.Growth.QuotientInter public import Mathlib.Geometry.Manifold.Algebra.LeftInvariantDerivation public import Mathlib.Geometry.Manifold.Algebra.LieGroup public import Mathlib.Geometry.Manifold.Algebra.Monoid -public import Mathlib.Geometry.Manifold.Algebra.SMul public import Mathlib.Geometry.Manifold.Algebra.SmoothFunctions +public import Mathlib.Geometry.Manifold.Algebra.SMul public import Mathlib.Geometry.Manifold.Algebra.Structures public import Mathlib.Geometry.Manifold.Bordism public import Mathlib.Geometry.Manifold.BumpFunction @@ -4633,8 +4691,8 @@ public import Mathlib.Geometry.Manifold.ContMDiff.Basic public import Mathlib.Geometry.Manifold.ContMDiff.Constructions public import Mathlib.Geometry.Manifold.ContMDiff.Defs public import Mathlib.Geometry.Manifold.ContMDiff.NormedSpace -public import Mathlib.Geometry.Manifold.ContMDiffMFDeriv public import Mathlib.Geometry.Manifold.ContMDiffMap +public import Mathlib.Geometry.Manifold.ContMDiffMFDeriv public import Mathlib.Geometry.Manifold.DerivationBundle public import Mathlib.Geometry.Manifold.Diffeomorph public import Mathlib.Geometry.Manifold.GroupLieAlgebra @@ -4655,6 +4713,7 @@ public import Mathlib.Geometry.Manifold.IsManifold.InteriorBoundary public import Mathlib.Geometry.Manifold.LocalDiffeomorph public import Mathlib.Geometry.Manifold.LocalInvariantProperties public import Mathlib.Geometry.Manifold.LocalSourceTargetProperty +public import Mathlib.Geometry.Manifold.Metrizable public import Mathlib.Geometry.Manifold.MFDeriv.Atlas public import Mathlib.Geometry.Manifold.MFDeriv.Basic public import Mathlib.Geometry.Manifold.MFDeriv.Defs @@ -4663,7 +4722,6 @@ public import Mathlib.Geometry.Manifold.MFDeriv.NormedSpace public import Mathlib.Geometry.Manifold.MFDeriv.SpecificFunctions public import Mathlib.Geometry.Manifold.MFDeriv.Tangent public import Mathlib.Geometry.Manifold.MFDeriv.UniqueDifferential -public import Mathlib.Geometry.Manifold.Metrizable public import Mathlib.Geometry.Manifold.Notation public import Mathlib.Geometry.Manifold.PartitionOfUnity public import Mathlib.Geometry.Manifold.PoincareConjecture @@ -4788,8 +4846,8 @@ public import Mathlib.GroupTheory.GroupExtension.Basic public import Mathlib.GroupTheory.GroupExtension.Defs public import Mathlib.GroupTheory.HNNExtension public import Mathlib.GroupTheory.Index -public import Mathlib.GroupTheory.IndexNSmul public import Mathlib.GroupTheory.IndexNormal +public import Mathlib.GroupTheory.IndexNSmul public import Mathlib.GroupTheory.IsPerfect public import Mathlib.GroupTheory.IsSubnormal public import Mathlib.GroupTheory.MonoidLocalization.Away @@ -4810,7 +4868,6 @@ public import Mathlib.GroupTheory.OrderOfElement public import Mathlib.GroupTheory.OreLocalization.Basic public import Mathlib.GroupTheory.OreLocalization.Cardinality public import Mathlib.GroupTheory.OreLocalization.OreSet -public import Mathlib.GroupTheory.PGroup public import Mathlib.GroupTheory.Perm.Basic public import Mathlib.GroupTheory.Perm.Centralizer public import Mathlib.GroupTheory.Perm.Closure @@ -4831,6 +4888,7 @@ public import Mathlib.GroupTheory.Perm.Sign public import Mathlib.GroupTheory.Perm.Subgroup public import Mathlib.GroupTheory.Perm.Support public import Mathlib.GroupTheory.Perm.ViaEmbedding +public import Mathlib.GroupTheory.PGroup public import Mathlib.GroupTheory.PresentedGroup public import Mathlib.GroupTheory.PushoutI public import Mathlib.GroupTheory.QuotientGroup.Basic @@ -4986,8 +5044,8 @@ public import Mathlib.LinearAlgebra.ConvexSpace public import Mathlib.LinearAlgebra.ConvexSpace.AffineSpace public import Mathlib.LinearAlgebra.Countable public import Mathlib.LinearAlgebra.CrossProduct -public import Mathlib.LinearAlgebra.DFinsupp public import Mathlib.LinearAlgebra.Determinant +public import Mathlib.LinearAlgebra.DFinsupp public import Mathlib.LinearAlgebra.Dimension.Basic public import Mathlib.LinearAlgebra.Dimension.Constructions public import Mathlib.LinearAlgebra.Dimension.DivisionRing @@ -5033,8 +5091,8 @@ public import Mathlib.LinearAlgebra.FiniteDimensional.Defs public import Mathlib.LinearAlgebra.FiniteDimensional.Lemmas public import Mathlib.LinearAlgebra.FiniteSpan public import Mathlib.LinearAlgebra.Finsupp.Defs -public import Mathlib.LinearAlgebra.Finsupp.LSum public import Mathlib.LinearAlgebra.Finsupp.LinearCombination +public import Mathlib.LinearAlgebra.Finsupp.LSum public import Mathlib.LinearAlgebra.Finsupp.Pi public import Mathlib.LinearAlgebra.Finsupp.Span public import Mathlib.LinearAlgebra.Finsupp.SumProd @@ -5055,6 +5113,7 @@ public import Mathlib.LinearAlgebra.FreeModule.Norm public import Mathlib.LinearAlgebra.FreeModule.PID public import Mathlib.LinearAlgebra.FreeModule.StrongRankCondition public import Mathlib.LinearAlgebra.FreeProduct.Basic +public import Mathlib.LinearAlgebra.GeneralLinearGroup public import Mathlib.LinearAlgebra.GeneralLinearGroup.AlgEquiv public import Mathlib.LinearAlgebra.GeneralLinearGroup.Basic public import Mathlib.LinearAlgebra.Goursat @@ -5109,6 +5168,7 @@ public import Mathlib.LinearAlgebra.Matrix.Gershgorin public import Mathlib.LinearAlgebra.Matrix.Hadamard public import Mathlib.LinearAlgebra.Matrix.HadamardMatrix public import Mathlib.LinearAlgebra.Matrix.Hermitian +public import Mathlib.LinearAlgebra.Matrix.HermitianFunctionalCalculus public import Mathlib.LinearAlgebra.Matrix.Ideal public import Mathlib.LinearAlgebra.Matrix.Integer public import Mathlib.LinearAlgebra.Matrix.InvariantBasisNumber @@ -5116,6 +5176,7 @@ public import Mathlib.LinearAlgebra.Matrix.Invertible public import Mathlib.LinearAlgebra.Matrix.Irreducible.Defs public import Mathlib.LinearAlgebra.Matrix.IsDiag public import Mathlib.LinearAlgebra.Matrix.Kronecker +public import Mathlib.LinearAlgebra.Matrix.LDL public import Mathlib.LinearAlgebra.Matrix.Module public import Mathlib.LinearAlgebra.Matrix.MvPolynomial public import Mathlib.LinearAlgebra.Matrix.Nondegenerate @@ -5157,10 +5218,10 @@ public import Mathlib.LinearAlgebra.Multilinear.Finsupp public import Mathlib.LinearAlgebra.Multilinear.Pi public import Mathlib.LinearAlgebra.Multilinear.TensorProduct public import Mathlib.LinearAlgebra.Orientation -public import Mathlib.LinearAlgebra.PID public import Mathlib.LinearAlgebra.PerfectPairing.Basic public import Mathlib.LinearAlgebra.PerfectPairing.Restrict public import Mathlib.LinearAlgebra.Pi +public import Mathlib.LinearAlgebra.PID public import Mathlib.LinearAlgebra.PiTensorProduct public import Mathlib.LinearAlgebra.PiTensorProduct.Basic public import Mathlib.LinearAlgebra.PiTensorProduct.Basis @@ -5228,13 +5289,14 @@ public import Mathlib.LinearAlgebra.RootSystem.Reduced public import Mathlib.LinearAlgebra.RootSystem.RootPairingCat public import Mathlib.LinearAlgebra.RootSystem.RootPositive public import Mathlib.LinearAlgebra.RootSystem.WeylGroup -public import Mathlib.LinearAlgebra.SModEq.Basic -public import Mathlib.LinearAlgebra.SModEq.Pointwise -public import Mathlib.LinearAlgebra.SModEq.Pow public import Mathlib.LinearAlgebra.Semisimple public import Mathlib.LinearAlgebra.SesquilinearForm.Basic public import Mathlib.LinearAlgebra.SesquilinearForm.Orthogonal public import Mathlib.LinearAlgebra.SesquilinearForm.Star +public import Mathlib.LinearAlgebra.SModEq +public import Mathlib.LinearAlgebra.SModEq.Basic +public import Mathlib.LinearAlgebra.SModEq.Pointwise +public import Mathlib.LinearAlgebra.SModEq.Pow public import Mathlib.LinearAlgebra.Span.Basic public import Mathlib.LinearAlgebra.Span.Defs public import Mathlib.LinearAlgebra.Span.TensorProduct @@ -5363,18 +5425,18 @@ public import Mathlib.MeasureTheory.Covering.LiminfLimsup public import Mathlib.MeasureTheory.Covering.OneDim public import Mathlib.MeasureTheory.Covering.Vitali public import Mathlib.MeasureTheory.Covering.VitaliFamily +public import Mathlib.MeasureTheory.Function.AbsolutelyContinuous public import Mathlib.MeasureTheory.Function.AEEqFun public import Mathlib.MeasureTheory.Function.AEEqFun.DomAct public import Mathlib.MeasureTheory.Function.AEEqOfIntegral public import Mathlib.MeasureTheory.Function.AEEqOfLIntegral public import Mathlib.MeasureTheory.Function.AEMeasurableOrder public import Mathlib.MeasureTheory.Function.AEMeasurableSequence -public import Mathlib.MeasureTheory.Function.AbsolutelyContinuous public import Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable public import Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic -public import Mathlib.MeasureTheory.Function.ConditionalExpectation.CondJensen public import Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1 public import Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL2 +public import Mathlib.MeasureTheory.Function.ConditionalExpectation.CondJensen public import Mathlib.MeasureTheory.Function.ConditionalExpectation.Indicator public import Mathlib.MeasureTheory.Function.ConditionalExpectation.LebesgueBochner public import Mathlib.MeasureTheory.Function.ConditionalExpectation.PullOut @@ -5435,11 +5497,11 @@ public import Mathlib.MeasureTheory.Function.StronglyMeasurable.ENNReal public import Mathlib.MeasureTheory.Function.StronglyMeasurable.Inner public import Mathlib.MeasureTheory.Function.StronglyMeasurable.Lemmas public import Mathlib.MeasureTheory.Function.StronglyMeasurable.Lp -public import Mathlib.MeasureTheory.Function.UnifTight public import Mathlib.MeasureTheory.Function.UniformIntegrable -public import Mathlib.MeasureTheory.Group.AEStabilizer +public import Mathlib.MeasureTheory.Function.UnifTight public import Mathlib.MeasureTheory.Group.Action public import Mathlib.MeasureTheory.Group.AddCircle +public import Mathlib.MeasureTheory.Group.AEStabilizer public import Mathlib.MeasureTheory.Group.Arithmetic public import Mathlib.MeasureTheory.Group.Convolution public import Mathlib.MeasureTheory.Group.Defs @@ -5527,10 +5589,10 @@ public import Mathlib.MeasureTheory.MeasurableSpace.NCard public import Mathlib.MeasureTheory.MeasurableSpace.Pi public import Mathlib.MeasureTheory.MeasurableSpace.PreorderRestrict public import Mathlib.MeasureTheory.MeasurableSpace.Prod -public import Mathlib.MeasureTheory.Measure.AEDisjoint -public import Mathlib.MeasureTheory.Measure.AEMeasurable public import Mathlib.MeasureTheory.Measure.AbsolutelyContinuous public import Mathlib.MeasureTheory.Measure.AddContent +public import Mathlib.MeasureTheory.Measure.AEDisjoint +public import Mathlib.MeasureTheory.Measure.AEMeasurable public import Mathlib.MeasureTheory.Measure.CharacteristicFunction public import Mathlib.MeasureTheory.Measure.CharacteristicFunction.Basic public import Mathlib.MeasureTheory.Measure.CharacteristicFunction.TaylorExpansion @@ -5576,9 +5638,9 @@ public import Mathlib.MeasureTheory.Measure.LevyConvergence public import Mathlib.MeasureTheory.Measure.LevyProkhorovMetric public import Mathlib.MeasureTheory.Measure.LogLikelihoodRatio public import Mathlib.MeasureTheory.Measure.Map +public import Mathlib.MeasureTheory.Measure.MeasuredSets public import Mathlib.MeasureTheory.Measure.MeasureSpace public import Mathlib.MeasureTheory.Measure.MeasureSpaceDef -public import Mathlib.MeasureTheory.Measure.MeasuredSets public import Mathlib.MeasureTheory.Measure.MutuallySingular public import Mathlib.MeasureTheory.Measure.NullMeasurable public import Mathlib.MeasureTheory.Measure.OpenPos @@ -5679,9 +5741,10 @@ public import Mathlib.ModelTheory.Syntax public import Mathlib.ModelTheory.Topology.Types public import Mathlib.ModelTheory.Types public import Mathlib.ModelTheory.Ultraproducts -public import Mathlib.NumberTheory.ADEInequality public import Mathlib.NumberTheory.AbelSummation +public import Mathlib.NumberTheory.ADEInequality public import Mathlib.NumberTheory.AlmostPrime +public import Mathlib.NumberTheory.ArithmeticFunction public import Mathlib.NumberTheory.ArithmeticFunction.Carmichael public import Mathlib.NumberTheory.ArithmeticFunction.Defs public import Mathlib.NumberTheory.ArithmeticFunction.LFunction @@ -5717,14 +5780,14 @@ public import Mathlib.NumberTheory.EllipticDivisibilitySequence public import Mathlib.NumberTheory.EulerProduct.Basic public import Mathlib.NumberTheory.EulerProduct.DirichletLSeries public import Mathlib.NumberTheory.EulerProduct.ExpLog +public import Mathlib.NumberTheory.FactorisationProperties +public import Mathlib.NumberTheory.Fermat +public import Mathlib.NumberTheory.FermatPsp public import Mathlib.NumberTheory.FLT.Basic public import Mathlib.NumberTheory.FLT.Four public import Mathlib.NumberTheory.FLT.MasonStothers public import Mathlib.NumberTheory.FLT.Polynomial public import Mathlib.NumberTheory.FLT.Three -public import Mathlib.NumberTheory.FactorisationProperties -public import Mathlib.NumberTheory.Fermat -public import Mathlib.NumberTheory.FermatPsp public import Mathlib.NumberTheory.FrobeniusNumber public import Mathlib.NumberTheory.FunctionField public import Mathlib.NumberTheory.GaussSum @@ -5742,6 +5805,16 @@ public import Mathlib.NumberTheory.Height.NumberField public import Mathlib.NumberTheory.Height.Projectivization public import Mathlib.NumberTheory.JacobiSum.Basic public import Mathlib.NumberTheory.KummerDedekind +public import Mathlib.NumberTheory.LegendreSymbol.AddCharacter +public import Mathlib.NumberTheory.LegendreSymbol.Basic +public import Mathlib.NumberTheory.LegendreSymbol.Complex +public import Mathlib.NumberTheory.LegendreSymbol.GaussEisensteinLemmas +public import Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol +public import Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.Basic +public import Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.GaussSum +public import Mathlib.NumberTheory.LegendreSymbol.QuadraticReciprocity +public import Mathlib.NumberTheory.LegendreSymbol.ZModChar +public import Mathlib.NumberTheory.LocalField.Basic public import Mathlib.NumberTheory.LSeries.AbstractFuncEq public import Mathlib.NumberTheory.LSeries.Basic public import Mathlib.NumberTheory.LSeries.Convergence @@ -5761,18 +5834,8 @@ public import Mathlib.NumberTheory.LSeries.Positivity public import Mathlib.NumberTheory.LSeries.PrimesInAP public import Mathlib.NumberTheory.LSeries.RiemannZeta public import Mathlib.NumberTheory.LSeries.SumCoeff -public import Mathlib.NumberTheory.LSeries.ZMod public import Mathlib.NumberTheory.LSeries.ZetaZeros -public import Mathlib.NumberTheory.LegendreSymbol.AddCharacter -public import Mathlib.NumberTheory.LegendreSymbol.Basic -public import Mathlib.NumberTheory.LegendreSymbol.Complex -public import Mathlib.NumberTheory.LegendreSymbol.GaussEisensteinLemmas -public import Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol -public import Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.Basic -public import Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.GaussSum -public import Mathlib.NumberTheory.LegendreSymbol.QuadraticReciprocity -public import Mathlib.NumberTheory.LegendreSymbol.ZModChar -public import Mathlib.NumberTheory.LocalField.Basic +public import Mathlib.NumberTheory.LSeries.ZMod public import Mathlib.NumberTheory.LucasLehmer public import Mathlib.NumberTheory.LucasPrimality public import Mathlib.NumberTheory.MahlerMeasure @@ -5823,13 +5886,13 @@ public import Mathlib.NumberTheory.Multiplicity public import Mathlib.NumberTheory.Niven public import Mathlib.NumberTheory.NumberField.AdeleRing public import Mathlib.NumberTheory.NumberField.Basic -public import Mathlib.NumberTheory.NumberField.CMField public import Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic public import Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody public import Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone public import Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne public import Mathlib.NumberTheory.NumberField.CanonicalEmbedding.PolarCoord public import Mathlib.NumberTheory.NumberField.ClassNumber +public import Mathlib.NumberTheory.NumberField.CMField public import Mathlib.NumberTheory.NumberField.Completion.FinitePlace public import Mathlib.NumberTheory.NumberField.Completion.InfinitePlace public import Mathlib.NumberTheory.NumberField.Completion.LiesOverInstances @@ -5909,6 +5972,8 @@ public import Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleWith public import Mathlib.NumberTheory.Transcendental.Liouville.Measure public import Mathlib.NumberTheory.Transcendental.Liouville.Residual public import Mathlib.NumberTheory.TsumDivisorsAntidiagonal +public import Mathlib.NumberTheory.TsumDivsorsAntidiagonal +public import Mathlib.NumberTheory.VonMangoldt public import Mathlib.NumberTheory.WellApproximable public import Mathlib.NumberTheory.Wilson public import Mathlib.NumberTheory.ZetaValues @@ -5926,8 +5991,8 @@ public import Mathlib.Order.BooleanAlgebra.Basic public import Mathlib.Order.BooleanAlgebra.Defs public import Mathlib.Order.BooleanAlgebra.Set public import Mathlib.Order.BooleanGenerators -public import Mathlib.Order.BooleanSubalgebra public import Mathlib.Order.Booleanisation +public import Mathlib.Order.BooleanSubalgebra public import Mathlib.Order.Bounded public import Mathlib.Order.BoundedOrder.Basic public import Mathlib.Order.BoundedOrder.Lattice @@ -5996,9 +6061,9 @@ public import Mathlib.Order.Defs.LinearOrder public import Mathlib.Order.Defs.PartialOrder public import Mathlib.Order.Defs.Prop public import Mathlib.Order.Defs.Unbundled -public import Mathlib.Order.DirSupClosed public import Mathlib.Order.Directed public import Mathlib.Order.DirectedInverseSystem +public import Mathlib.Order.DirSupClosed public import Mathlib.Order.Disjoint public import Mathlib.Order.Disjointed public import Mathlib.Order.Extension.Linear @@ -6137,8 +6202,8 @@ public import Mathlib.Order.LatticeIntervals public import Mathlib.Order.Lex public import Mathlib.Order.LiminfLimsup public import Mathlib.Order.Max -public import Mathlib.Order.MinMax public import Mathlib.Order.Minimal +public import Mathlib.Order.MinMax public import Mathlib.Order.ModularLattice public import Mathlib.Order.Monotone.Basic public import Mathlib.Order.Monotone.Defs @@ -6156,12 +6221,12 @@ public import Mathlib.Order.OmegaCompletePartialOrder public import Mathlib.Order.OrdContinuous public import Mathlib.Order.OrderDual public import Mathlib.Order.OrderIsoNat -public import Mathlib.Order.PFilter public import Mathlib.Order.Part public import Mathlib.Order.PartialSups public import Mathlib.Order.Partition.Basic public import Mathlib.Order.Partition.Equipartition public import Mathlib.Order.Partition.Finpartition +public import Mathlib.Order.PFilter public import Mathlib.Order.PiLex public import Mathlib.Order.Preorder.Chain public import Mathlib.Order.Preorder.Finite @@ -6208,9 +6273,9 @@ public import Mathlib.Order.SymmDiff public import Mathlib.Order.Synonym public import Mathlib.Order.TeichmullerTukey public import Mathlib.Order.TransfiniteIteration -public import Mathlib.Order.TypeTags public import Mathlib.Order.Types.Arithmetic public import Mathlib.Order.Types.Defs +public import Mathlib.Order.TypeTags public import Mathlib.Order.ULift public import Mathlib.Order.UpperLower.Basic public import Mathlib.Order.UpperLower.Closure @@ -6234,9 +6299,9 @@ public import Mathlib.Probability.BrownianMotion.GaussianProjectiveFamily public import Mathlib.Probability.CDF public import Mathlib.Probability.CentralLimitTheorem public import Mathlib.Probability.Combinatorics.BinomialRandomGraph.Defs -public import Mathlib.Probability.CondVar public import Mathlib.Probability.ConditionalExpectation public import Mathlib.Probability.ConditionalProbability +public import Mathlib.Probability.CondVar public import Mathlib.Probability.Decision.BayesEstimator public import Mathlib.Probability.Decision.Risk.Basic public import Mathlib.Probability.Decision.Risk.Countable @@ -6279,6 +6344,7 @@ public import Mathlib.Probability.Independence.Conditional public import Mathlib.Probability.Independence.InfinitePi public import Mathlib.Probability.Independence.Integrable public import Mathlib.Probability.Independence.Integration +public import Mathlib.Probability.Independence.Kernel public import Mathlib.Probability.Independence.Kernel.Indep public import Mathlib.Probability.Independence.Kernel.IndepFun public import Mathlib.Probability.Independence.Process.Basic @@ -6289,7 +6355,6 @@ public import Mathlib.Probability.Independence.ZeroOne public import Mathlib.Probability.Kernel.Basic public import Mathlib.Probability.Kernel.Category.SFinKer public import Mathlib.Probability.Kernel.Category.Stoch -public import Mathlib.Probability.Kernel.CompProdEqIff public import Mathlib.Probability.Kernel.Composition.AbsolutelyContinuous public import Mathlib.Probability.Kernel.Composition.Comp public import Mathlib.Probability.Kernel.Composition.CompMap @@ -6304,6 +6369,7 @@ public import Mathlib.Probability.Kernel.Composition.MeasureCompProd public import Mathlib.Probability.Kernel.Composition.ParallelComp public import Mathlib.Probability.Kernel.Composition.Prod public import Mathlib.Probability.Kernel.Composition.RadonNikodym +public import Mathlib.Probability.Kernel.CompProdEqIff public import Mathlib.Probability.Kernel.CondDistrib public import Mathlib.Probability.Kernel.Condexp public import Mathlib.Probability.Kernel.Defs @@ -6427,7 +6493,6 @@ public import Mathlib.RingTheory.Adjoin.PowerBasis public import Mathlib.RingTheory.Adjoin.Singleton public import Mathlib.RingTheory.Adjoin.Tower public import Mathlib.RingTheory.AdjoinRoot -public import Mathlib.RingTheory.AlgebraTower public import Mathlib.RingTheory.Algebraic.Basic public import Mathlib.RingTheory.Algebraic.Cardinality public import Mathlib.RingTheory.Algebraic.Defs @@ -6443,6 +6508,7 @@ public import Mathlib.RingTheory.AlgebraicIndependent.Defs public import Mathlib.RingTheory.AlgebraicIndependent.RankAndCardinality public import Mathlib.RingTheory.AlgebraicIndependent.TranscendenceBasis public import Mathlib.RingTheory.AlgebraicIndependent.Transcendental +public import Mathlib.RingTheory.AlgebraTower public import Mathlib.RingTheory.Artinian.Algebra public import Mathlib.RingTheory.Artinian.Defs public import Mathlib.RingTheory.Artinian.Instances @@ -6497,8 +6563,8 @@ public import Mathlib.RingTheory.DedekindDomain.Instances public import Mathlib.RingTheory.DedekindDomain.IntegralClosure public import Mathlib.RingTheory.DedekindDomain.LinearDisjoint public import Mathlib.RingTheory.DedekindDomain.PID -public import Mathlib.RingTheory.DedekindDomain.SInteger public import Mathlib.RingTheory.DedekindDomain.SelmerGroup +public import Mathlib.RingTheory.DedekindDomain.SInteger public import Mathlib.RingTheory.Derivation.Basic public import Mathlib.RingTheory.Derivation.DifferentialRing public import Mathlib.RingTheory.Derivation.Lie @@ -6540,9 +6606,6 @@ public import Mathlib.RingTheory.Extension.Presentation.Submersive public import Mathlib.RingTheory.FilteredAlgebra.Basic public import Mathlib.RingTheory.Filtration public import Mathlib.RingTheory.FiniteLength -public import Mathlib.RingTheory.FinitePresentation -public import Mathlib.RingTheory.FiniteStability -public import Mathlib.RingTheory.FiniteType public import Mathlib.RingTheory.Finiteness.Basic public import Mathlib.RingTheory.Finiteness.Bilinear public import Mathlib.RingTheory.Finiteness.Cardinality @@ -6563,6 +6626,9 @@ public import Mathlib.RingTheory.Finiteness.Projective public import Mathlib.RingTheory.Finiteness.Quotient public import Mathlib.RingTheory.Finiteness.Small public import Mathlib.RingTheory.Finiteness.Subalgebra +public import Mathlib.RingTheory.FinitePresentation +public import Mathlib.RingTheory.FiniteStability +public import Mathlib.RingTheory.FiniteType public import Mathlib.RingTheory.Fintype public import Mathlib.RingTheory.Flat.Basic public import Mathlib.RingTheory.Flat.CategoryTheory @@ -6604,8 +6670,8 @@ public import Mathlib.RingTheory.HahnSeries.Addition public import Mathlib.RingTheory.HahnSeries.Basic public import Mathlib.RingTheory.HahnSeries.Binomial public import Mathlib.RingTheory.HahnSeries.Cardinal -public import Mathlib.RingTheory.HahnSeries.HEval public import Mathlib.RingTheory.HahnSeries.HahnEmbedding +public import Mathlib.RingTheory.HahnSeries.HEval public import Mathlib.RingTheory.HahnSeries.Lex public import Mathlib.RingTheory.HahnSeries.Multiplication public import Mathlib.RingTheory.HahnSeries.PowerSeries @@ -6678,8 +6744,8 @@ public import Mathlib.RingTheory.IntegralClosure.Algebra.Basic public import Mathlib.RingTheory.IntegralClosure.Algebra.Defs public import Mathlib.RingTheory.IntegralClosure.Algebra.Ideal public import Mathlib.RingTheory.IntegralClosure.GoingDown -public import Mathlib.RingTheory.IntegralClosure.IntegralRestrict public import Mathlib.RingTheory.IntegralClosure.IntegrallyClosed +public import Mathlib.RingTheory.IntegralClosure.IntegralRestrict public import Mathlib.RingTheory.IntegralClosure.IsIntegral.AlmostIntegral public import Mathlib.RingTheory.IntegralClosure.IsIntegral.Basic public import Mathlib.RingTheory.IntegralClosure.IsIntegral.Defs @@ -6720,6 +6786,31 @@ public import Mathlib.RingTheory.Length public import Mathlib.RingTheory.LinearDisjoint public import Mathlib.RingTheory.LittleWedderburn public import Mathlib.RingTheory.LocalIso +public import Mathlib.RingTheory.Localization.Algebra +public import Mathlib.RingTheory.Localization.AsSubring +public import Mathlib.RingTheory.Localization.AtPrime.Basic +public import Mathlib.RingTheory.Localization.AtPrime.Extension +public import Mathlib.RingTheory.Localization.Away.AdjoinRoot +public import Mathlib.RingTheory.Localization.Away.Basic +public import Mathlib.RingTheory.Localization.Away.Lemmas +public import Mathlib.RingTheory.Localization.BaseChange +public import Mathlib.RingTheory.Localization.Basic +public import Mathlib.RingTheory.Localization.Cardinality +public import Mathlib.RingTheory.Localization.Defs +public import Mathlib.RingTheory.Localization.Finiteness +public import Mathlib.RingTheory.Localization.FractionRing +public import Mathlib.RingTheory.Localization.Free +public import Mathlib.RingTheory.Localization.Ideal +public import Mathlib.RingTheory.Localization.Integer +public import Mathlib.RingTheory.Localization.Integral +public import Mathlib.RingTheory.Localization.InvSubmonoid +public import Mathlib.RingTheory.Localization.LocalizationLocalization +public import Mathlib.RingTheory.Localization.Module +public import Mathlib.RingTheory.Localization.NormTrace +public import Mathlib.RingTheory.Localization.NumDen +public import Mathlib.RingTheory.Localization.Pi +public import Mathlib.RingTheory.Localization.Rat +public import Mathlib.RingTheory.Localization.Submodule public import Mathlib.RingTheory.LocalProperties.Basic public import Mathlib.RingTheory.LocalProperties.Exactness public import Mathlib.RingTheory.LocalProperties.FinitePresentation @@ -6751,31 +6842,6 @@ public import Mathlib.RingTheory.LocalRing.ResidueField.Instances public import Mathlib.RingTheory.LocalRing.ResidueField.Polynomial public import Mathlib.RingTheory.LocalRing.RingHom.Basic public import Mathlib.RingTheory.LocalRing.Subring -public import Mathlib.RingTheory.Localization.Algebra -public import Mathlib.RingTheory.Localization.AsSubring -public import Mathlib.RingTheory.Localization.AtPrime.Basic -public import Mathlib.RingTheory.Localization.AtPrime.Extension -public import Mathlib.RingTheory.Localization.Away.AdjoinRoot -public import Mathlib.RingTheory.Localization.Away.Basic -public import Mathlib.RingTheory.Localization.Away.Lemmas -public import Mathlib.RingTheory.Localization.BaseChange -public import Mathlib.RingTheory.Localization.Basic -public import Mathlib.RingTheory.Localization.Cardinality -public import Mathlib.RingTheory.Localization.Defs -public import Mathlib.RingTheory.Localization.Finiteness -public import Mathlib.RingTheory.Localization.FractionRing -public import Mathlib.RingTheory.Localization.Free -public import Mathlib.RingTheory.Localization.Ideal -public import Mathlib.RingTheory.Localization.Integer -public import Mathlib.RingTheory.Localization.Integral -public import Mathlib.RingTheory.Localization.InvSubmonoid -public import Mathlib.RingTheory.Localization.LocalizationLocalization -public import Mathlib.RingTheory.Localization.Module -public import Mathlib.RingTheory.Localization.NormTrace -public import Mathlib.RingTheory.Localization.NumDen -public import Mathlib.RingTheory.Localization.Pi -public import Mathlib.RingTheory.Localization.Rat -public import Mathlib.RingTheory.Localization.Submodule public import Mathlib.RingTheory.MatrixAlgebra public import Mathlib.RingTheory.MatrixPolynomialAlgebra public import Mathlib.RingTheory.Morita.Basic @@ -6819,7 +6885,6 @@ public import Mathlib.RingTheory.Nilpotent.Defs public import Mathlib.RingTheory.Nilpotent.Exp public import Mathlib.RingTheory.Nilpotent.GeometricallyReduced public import Mathlib.RingTheory.Nilpotent.Lemmas -public import Mathlib.RingTheory.NoetherNormalization public import Mathlib.RingTheory.Noetherian.Basic public import Mathlib.RingTheory.Noetherian.Defs public import Mathlib.RingTheory.Noetherian.Filter @@ -6827,6 +6892,7 @@ public import Mathlib.RingTheory.Noetherian.Nilpotent public import Mathlib.RingTheory.Noetherian.OfPrime public import Mathlib.RingTheory.Noetherian.Orzech public import Mathlib.RingTheory.Noetherian.UniqueFactorizationDomain +public import Mathlib.RingTheory.NoetherNormalization public import Mathlib.RingTheory.NonUnitalSubring.Basic public import Mathlib.RingTheory.NonUnitalSubring.Defs public import Mathlib.RingTheory.NonUnitalSubsemiring.Basic @@ -6834,8 +6900,8 @@ public import Mathlib.RingTheory.NonUnitalSubsemiring.Defs public import Mathlib.RingTheory.Norm.Basic public import Mathlib.RingTheory.Norm.Defs public import Mathlib.RingTheory.Norm.Transitivity -public import Mathlib.RingTheory.NormTrace public import Mathlib.RingTheory.NormalClosure +public import Mathlib.RingTheory.NormTrace public import Mathlib.RingTheory.Nullstellensatz public import Mathlib.RingTheory.OrderOfVanishing.Basic public import Mathlib.RingTheory.OrderOfVanishing.Noetherian @@ -6849,8 +6915,8 @@ public import Mathlib.RingTheory.Perfection public import Mathlib.RingTheory.Perfectoid.BDeRham public import Mathlib.RingTheory.Perfectoid.FontaineTheta public import Mathlib.RingTheory.Perfectoid.Untilt -public import Mathlib.RingTheory.PiTensorProduct public import Mathlib.RingTheory.PicardGroup +public import Mathlib.RingTheory.PiTensorProduct public import Mathlib.RingTheory.Polynomial.Basic public import Mathlib.RingTheory.Polynomial.Bernstein public import Mathlib.RingTheory.Polynomial.Chebyshev @@ -7102,8 +7168,8 @@ public import Mathlib.RingTheory.WittVector.Frobenius public import Mathlib.RingTheory.WittVector.FrobeniusFractionField public import Mathlib.RingTheory.WittVector.Identities public import Mathlib.RingTheory.WittVector.InitTail -public import Mathlib.RingTheory.WittVector.IsPoly public import Mathlib.RingTheory.WittVector.Isocrystal +public import Mathlib.RingTheory.WittVector.IsPoly public import Mathlib.RingTheory.WittVector.MulCoeff public import Mathlib.RingTheory.WittVector.MulP public import Mathlib.RingTheory.WittVector.StructurePolynomial @@ -7112,10 +7178,10 @@ public import Mathlib.RingTheory.WittVector.TeichmullerSeries public import Mathlib.RingTheory.WittVector.Truncated public import Mathlib.RingTheory.WittVector.Verschiebung public import Mathlib.RingTheory.WittVector.WittPolynomial +public import Mathlib.RingTheory.ZariskisMainTheorem public import Mathlib.RingTheory.ZMod public import Mathlib.RingTheory.ZMod.Torsion public import Mathlib.RingTheory.ZMod.UnitsCyclic -public import Mathlib.RingTheory.ZariskisMainTheorem public import Mathlib.SetTheory.Cardinal.Aleph public import Mathlib.SetTheory.Cardinal.Arithmetic public import Mathlib.SetTheory.Cardinal.Basic @@ -7128,8 +7194,8 @@ public import Mathlib.SetTheory.Cardinal.Continuum public import Mathlib.SetTheory.Cardinal.CountableCover public import Mathlib.SetTheory.Cardinal.Defs public import Mathlib.SetTheory.Cardinal.Divisibility -public import Mathlib.SetTheory.Cardinal.ENat public import Mathlib.SetTheory.Cardinal.Embedding +public import Mathlib.SetTheory.Cardinal.ENat public import Mathlib.SetTheory.Cardinal.EventuallyConst public import Mathlib.SetTheory.Cardinal.Finite public import Mathlib.SetTheory.Cardinal.Finsupp @@ -7186,8 +7252,8 @@ public import Mathlib.Tactic.ArithMult public import Mathlib.Tactic.ArithMult.Init public import Mathlib.Tactic.Attr.Core public import Mathlib.Tactic.Attr.Register -public import Mathlib.Tactic.BDSimp public import Mathlib.Tactic.Basic +public import Mathlib.Tactic.BDSimp public import Mathlib.Tactic.Bound public import Mathlib.Tactic.Bound.Attribute public import Mathlib.Tactic.Bound.Init @@ -7225,9 +7291,9 @@ public import Mathlib.Tactic.Change public import Mathlib.Tactic.Check public import Mathlib.Tactic.Choose public import Mathlib.Tactic.Clean +public import Mathlib.Tactic.Clear_ public import Mathlib.Tactic.ClearExcept public import Mathlib.Tactic.ClearExclamation -public import Mathlib.Tactic.Clear_ public import Mathlib.Tactic.ClickSuggestions public import Mathlib.Tactic.ClickSuggestions.Apply public import Mathlib.Tactic.ClickSuggestions.ApplyAt @@ -7261,16 +7327,16 @@ public import Mathlib.Tactic.Conv public import Mathlib.Tactic.Convert public import Mathlib.Tactic.Core public import Mathlib.Tactic.CrossRefAttribute -public import Mathlib.Tactic.DSimpPercent public import Mathlib.Tactic.DeclarationNames public import Mathlib.Tactic.DefEqAbuse public import Mathlib.Tactic.DefEqTransformations -public import Mathlib.Tactic.DepRewrite public import Mathlib.Tactic.DeprecateTo +public import Mathlib.Tactic.DepRewrite public import Mathlib.Tactic.DeriveCountable public import Mathlib.Tactic.DeriveEncodable public import Mathlib.Tactic.DeriveFintype public import Mathlib.Tactic.DeriveTraversable +public import Mathlib.Tactic.DSimpPercent public import Mathlib.Tactic.ENatToNat public import Mathlib.Tactic.Eqns public import Mathlib.Tactic.ErwQuestion @@ -7282,9 +7348,9 @@ public import Mathlib.Tactic.Explode.Pretty public import Mathlib.Tactic.Ext public import Mathlib.Tactic.ExtendDoc public import Mathlib.Tactic.ExtractGoal -public import Mathlib.Tactic.FBinop public import Mathlib.Tactic.FailIfNoProgress public import Mathlib.Tactic.FastInstance +public import Mathlib.Tactic.FBinop public import Mathlib.Tactic.Field public import Mathlib.Tactic.FieldSimp public import Mathlib.Tactic.FieldSimp.Attr @@ -7309,10 +7375,11 @@ public import Mathlib.Tactic.GCongr public import Mathlib.Tactic.GCongr.Core public import Mathlib.Tactic.GCongr.CoreAttrs public import Mathlib.Tactic.GCongr.ForwardAttr +public import Mathlib.Tactic.Generalize +public import Mathlib.Tactic.GeneralizeProofs public import Mathlib.Tactic.GRewrite public import Mathlib.Tactic.GRewrite.Core public import Mathlib.Tactic.GRewrite.Elab -public import Mathlib.Tactic.Generalize public import Mathlib.Tactic.GrindAttrs public import Mathlib.Tactic.Group public import Mathlib.Tactic.GuardGoalNums @@ -7321,11 +7388,11 @@ public import Mathlib.Tactic.Have public import Mathlib.Tactic.HaveI public import Mathlib.Tactic.HigherOrder public import Mathlib.Tactic.Hint -public import Mathlib.Tactic.ITauto public import Mathlib.Tactic.InferParam public import Mathlib.Tactic.Inhabit public import Mathlib.Tactic.IntervalCases public import Mathlib.Tactic.IrreducibleDef +public import Mathlib.Tactic.ITauto public import Mathlib.Tactic.Lemma public import Mathlib.Tactic.Lift public import Mathlib.Tactic.Linarith @@ -7428,9 +7495,8 @@ public import Mathlib.Tactic.Order.Graph.Basic public import Mathlib.Tactic.Order.Graph.Tarjan public import Mathlib.Tactic.Order.Preprocessing public import Mathlib.Tactic.Order.ToInt -public import Mathlib.Tactic.PNatToNat -public import Mathlib.Tactic.PPWithUniv public import Mathlib.Tactic.Peel +public import Mathlib.Tactic.PNatToNat public import Mathlib.Tactic.Polynomial.Basic public import Mathlib.Tactic.Polynomial.Core public import Mathlib.Tactic.Polyrith @@ -7438,12 +7504,13 @@ public import Mathlib.Tactic.Positivity public import Mathlib.Tactic.Positivity.Basic public import Mathlib.Tactic.Positivity.Core public import Mathlib.Tactic.Positivity.Finset +public import Mathlib.Tactic.PPWithUniv public import Mathlib.Tactic.ProdAssoc +public import Mathlib.Tactic.Propose public import Mathlib.Tactic.ProxyType public import Mathlib.Tactic.Push public import Mathlib.Tactic.Push.Attr public import Mathlib.Tactic.Qify -public import Mathlib.Tactic.RSuffices public import Mathlib.Tactic.Recall public import Mathlib.Tactic.Recover public import Mathlib.Tactic.ReduceModChar @@ -7463,6 +7530,7 @@ public import Mathlib.Tactic.Ring.NamePolyVars public import Mathlib.Tactic.Ring.NamePowerVars public import Mathlib.Tactic.Ring.PNat public import Mathlib.Tactic.Ring.RingNF +public import Mathlib.Tactic.RSuffices public import Mathlib.Tactic.Sat.FromLRAT public import Mathlib.Tactic.Says public import Mathlib.Tactic.ScopedNS @@ -7470,12 +7538,12 @@ public import Mathlib.Tactic.Set public import Mathlib.Tactic.SetLike public import Mathlib.Tactic.SetNotationForOrder public import Mathlib.Tactic.SimpIntro -public import Mathlib.Tactic.SimpRw public import Mathlib.Tactic.Simproc.Divisors public import Mathlib.Tactic.Simproc.ExistsAndEq public import Mathlib.Tactic.Simproc.Factors public import Mathlib.Tactic.Simproc.FinsetInterval public import Mathlib.Tactic.Simproc.VecPerm +public import Mathlib.Tactic.SimpRw public import Mathlib.Tactic.Simps.Basic public import Mathlib.Tactic.Simps.NotationClass public import Mathlib.Tactic.SplitIfs @@ -7487,12 +7555,12 @@ public import Mathlib.Tactic.SuccessIfFailWithMsg public import Mathlib.Tactic.SudoSetOption public import Mathlib.Tactic.SuppressCompilation public import Mathlib.Tactic.SwapVar -public import Mathlib.Tactic.TFAE public import Mathlib.Tactic.TacticAnalysis public import Mathlib.Tactic.TacticAnalysis.Declarations public import Mathlib.Tactic.Tauto public import Mathlib.Tactic.TautoSet public import Mathlib.Tactic.TermCongr +public import Mathlib.Tactic.TFAE public import Mathlib.Tactic.ToAdditive public import Mathlib.Tactic.ToDual public import Mathlib.Tactic.ToExpr @@ -7513,17 +7581,18 @@ public import Mathlib.Tactic.TypeStar public import Mathlib.Tactic.UnsetOption public import Mathlib.Tactic.Use public import Mathlib.Tactic.Variable -public import Mathlib.Tactic.WLOG public import Mathlib.Tactic.Widget.Calc public import Mathlib.Tactic.Widget.CommDiag public import Mathlib.Tactic.Widget.CongrM public import Mathlib.Tactic.Widget.Conv public import Mathlib.Tactic.Widget.GCongr +public import Mathlib.Tactic.Widget.InteractiveUnfold public import Mathlib.Tactic.Widget.LibraryRewrite public import Mathlib.Tactic.Widget.SelectInsertParamsClass public import Mathlib.Tactic.Widget.SelectPanelUtils public import Mathlib.Tactic.Widget.StringDiagram public import Mathlib.Tactic.WithoutCDot +public import Mathlib.Tactic.WLOG public import Mathlib.Tactic.Zify public import Mathlib.Testing.Plausible.Functions public import Mathlib.Testing.Plausible.Sampleable @@ -7645,13 +7714,13 @@ public import Mathlib.Topology.Algebra.Monoid.Defs public import Mathlib.Topology.Algebra.Monoid.FunOnFinite public import Mathlib.Topology.Algebra.MulAction public import Mathlib.Topology.Algebra.MvPolynomial -public import Mathlib.Topology.Algebra.NonUnitalAlgebra -public import Mathlib.Topology.Algebra.NonUnitalStarAlgebra public import Mathlib.Topology.Algebra.Nonarchimedean.AdicTopology public import Mathlib.Topology.Algebra.Nonarchimedean.Bases public import Mathlib.Topology.Algebra.Nonarchimedean.Basic public import Mathlib.Topology.Algebra.Nonarchimedean.Completion public import Mathlib.Topology.Algebra.Nonarchimedean.TotallyDisconnected +public import Mathlib.Topology.Algebra.NonUnitalAlgebra +public import Mathlib.Topology.Algebra.NonUnitalStarAlgebra public import Mathlib.Topology.Algebra.OpenSubgroup public import Mathlib.Topology.Algebra.Order.Archimedean public import Mathlib.Topology.Algebra.Order.ArchimedeanDiscrete @@ -7716,12 +7785,9 @@ public import Mathlib.Topology.Bornology.BoundedOperation public import Mathlib.Topology.Bornology.Constructions public import Mathlib.Topology.Bornology.Hom public import Mathlib.Topology.Bornology.Real -public import Mathlib.Topology.CWComplex.Abstract.Basic -public import Mathlib.Topology.CWComplex.Classical.Basic -public import Mathlib.Topology.CWComplex.Classical.Finite -public import Mathlib.Topology.CWComplex.Classical.Graph -public import Mathlib.Topology.CWComplex.Classical.Subcomplex public import Mathlib.Topology.Category.Born +public import Mathlib.Topology.Category.CompactlyGenerated +public import Mathlib.Topology.Category.Compactum public import Mathlib.Topology.Category.CompHaus.Basic public import Mathlib.Topology.Category.CompHaus.EffectiveEpi public import Mathlib.Topology.Category.CompHaus.Frm @@ -7732,8 +7798,6 @@ public import Mathlib.Topology.Category.CompHausLike.Cartesian public import Mathlib.Topology.Category.CompHausLike.EffectiveEpi public import Mathlib.Topology.Category.CompHausLike.Limits public import Mathlib.Topology.Category.CompHausLike.SigmaComparison -public import Mathlib.Topology.Category.CompactlyGenerated -public import Mathlib.Topology.Category.Compactum public import Mathlib.Topology.Category.DeltaGenerated public import Mathlib.Topology.Category.FinTopCat public import Mathlib.Topology.Category.LightProfinite.AsLimit @@ -7787,30 +7851,32 @@ public import Mathlib.Topology.ClopenBox public import Mathlib.Topology.Closure public import Mathlib.Topology.ClusterPt public import Mathlib.Topology.Coherent -public import Mathlib.Topology.CompactOpen public import Mathlib.Topology.Compactification.OnePoint.Basic public import Mathlib.Topology.Compactification.OnePoint.ProjectiveLine public import Mathlib.Topology.Compactification.OnePoint.Sphere public import Mathlib.Topology.Compactification.StoneCech public import Mathlib.Topology.Compactness.Bases public import Mathlib.Topology.Compactness.Compact -public import Mathlib.Topology.Compactness.CompactSystem public import Mathlib.Topology.Compactness.CompactlyCoherentSpace public import Mathlib.Topology.Compactness.CompactlyGeneratedSpace +public import Mathlib.Topology.Compactness.CompactSystem public import Mathlib.Topology.Compactness.CountablyCompact public import Mathlib.Topology.Compactness.DeltaGeneratedSpace +public import Mathlib.Topology.Compactness.HilbertCubeEmbedding public import Mathlib.Topology.Compactness.Lindelof public import Mathlib.Topology.Compactness.LocallyCompact public import Mathlib.Topology.Compactness.LocallyFinite public import Mathlib.Topology.Compactness.NhdsKer public import Mathlib.Topology.Compactness.Paracompact +public import Mathlib.Topology.Compactness.PseudometrizableLindelof public import Mathlib.Topology.Compactness.SigmaCompact +public import Mathlib.Topology.CompactOpen public import Mathlib.Topology.Connected.Basic public import Mathlib.Topology.Connected.CardComponents public import Mathlib.Topology.Connected.Clopen -public import Mathlib.Topology.Connected.LocPathConnected public import Mathlib.Topology.Connected.LocallyConnected public import Mathlib.Topology.Connected.LocallyPathConnected +public import Mathlib.Topology.Connected.LocPathConnected public import Mathlib.Topology.Connected.PathComponentOne public import Mathlib.Topology.Connected.PathConnected public import Mathlib.Topology.Connected.Separation @@ -7856,9 +7922,15 @@ public import Mathlib.Topology.Convenient.GeneratedBy public import Mathlib.Topology.Convenient.HomSpace public import Mathlib.Topology.Convenient.Localization public import Mathlib.Topology.Convenient.OpenClosed +public import Mathlib.Topology.Covering public import Mathlib.Topology.Covering.AddCircle public import Mathlib.Topology.Covering.Basic public import Mathlib.Topology.Covering.Quotient +public import Mathlib.Topology.CWComplex.Abstract.Basic +public import Mathlib.Topology.CWComplex.Classical.Basic +public import Mathlib.Topology.CWComplex.Classical.Finite +public import Mathlib.Topology.CWComplex.Classical.Graph +public import Mathlib.Topology.CWComplex.Classical.Subcomplex public import Mathlib.Topology.Defs.Basic public import Mathlib.Topology.Defs.Filter public import Mathlib.Topology.Defs.Induced @@ -7900,8 +7972,8 @@ public import Mathlib.Topology.Homotopy.Affine public import Mathlib.Topology.Homotopy.Basic public import Mathlib.Topology.Homotopy.Contractible public import Mathlib.Topology.Homotopy.Equiv -public import Mathlib.Topology.Homotopy.HSpaces public import Mathlib.Topology.Homotopy.HomotopyGroup +public import Mathlib.Topology.Homotopy.HSpaces public import Mathlib.Topology.Homotopy.Lifting public import Mathlib.Topology.Homotopy.LocallyContractible public import Mathlib.Topology.Homotopy.Path @@ -7918,15 +7990,15 @@ public import Mathlib.Topology.Instances.AddCircle.Real public import Mathlib.Topology.Instances.CantorSet public import Mathlib.Topology.Instances.Complex public import Mathlib.Topology.Instances.Discrete +public import Mathlib.Topology.Instances.ENat public import Mathlib.Topology.Instances.ENNReal.ENatENNReal public import Mathlib.Topology.Instances.ENNReal.Lemmas -public import Mathlib.Topology.Instances.ENat public import Mathlib.Topology.Instances.EReal.Lemmas public import Mathlib.Topology.Instances.Int public import Mathlib.Topology.Instances.Irrational public import Mathlib.Topology.Instances.Matrix -public import Mathlib.Topology.Instances.NNReal.Lemmas public import Mathlib.Topology.Instances.Nat +public import Mathlib.Topology.Instances.NNReal.Lemmas public import Mathlib.Topology.Instances.PNat public import Mathlib.Topology.Instances.Rat public import Mathlib.Topology.Instances.RatLemmas @@ -7963,8 +8035,8 @@ public import Mathlib.Topology.MetricSpace.Bilipschitz public import Mathlib.Topology.MetricSpace.Bounded public import Mathlib.Topology.MetricSpace.BundledFun public import Mathlib.Topology.MetricSpace.CantorScheme -public import Mathlib.Topology.MetricSpace.CauSeqFilter public import Mathlib.Topology.MetricSpace.Cauchy +public import Mathlib.Topology.MetricSpace.CauSeqFilter public import Mathlib.Topology.MetricSpace.Closeds public import Mathlib.Topology.MetricSpace.Completion public import Mathlib.Topology.MetricSpace.Congruence @@ -8027,6 +8099,7 @@ public import Mathlib.Topology.NhdsSet public import Mathlib.Topology.NhdsWithin public import Mathlib.Topology.NoetherianSpace public import Mathlib.Topology.OmegaCompletePartialOrder +public import Mathlib.Topology.OpenPartialHomeomorph public import Mathlib.Topology.OpenPartialHomeomorph.Basic public import Mathlib.Topology.OpenPartialHomeomorph.Composition public import Mathlib.Topology.OpenPartialHomeomorph.Constructions @@ -8050,8 +8123,8 @@ public import Mathlib.Topology.Order.Hom.Basic public import Mathlib.Topology.Order.Hom.Esakia public import Mathlib.Topology.Order.HullKernel public import Mathlib.Topology.Order.IntermediateValue -public import Mathlib.Topology.Order.IsLUB public import Mathlib.Topology.Order.IsLocallyClosed +public import Mathlib.Topology.Order.IsLUB public import Mathlib.Topology.Order.IsNormal public import Mathlib.Topology.Order.Lattice public import Mathlib.Topology.Order.LawsonTopology @@ -8089,6 +8162,7 @@ public import Mathlib.Topology.Semicontinuity.Basic public import Mathlib.Topology.Semicontinuity.Defs public import Mathlib.Topology.Semicontinuity.Hemicontinuity public import Mathlib.Topology.Semicontinuity.Lindelof +public import Mathlib.Topology.Semicontinuous public import Mathlib.Topology.SeparatedMap public import Mathlib.Topology.Separation.AlexandrovDiscrete public import Mathlib.Topology.Separation.Basic @@ -8123,23 +8197,23 @@ public import Mathlib.Topology.Sheaves.Forget public import Mathlib.Topology.Sheaves.Functors public import Mathlib.Topology.Sheaves.Init public import Mathlib.Topology.Sheaves.Limits -public import Mathlib.Topology.Sheaves.LocalPredicate public import Mathlib.Topology.Sheaves.LocallySurjective +public import Mathlib.Topology.Sheaves.LocalPredicate public import Mathlib.Topology.Sheaves.MayerVietoris public import Mathlib.Topology.Sheaves.Module public import Mathlib.Topology.Sheaves.Over -public import Mathlib.Topology.Sheaves.PUnit public import Mathlib.Topology.Sheaves.Points public import Mathlib.Topology.Sheaves.Presheaf public import Mathlib.Topology.Sheaves.PresheafOfFunctions +public import Mathlib.Topology.Sheaves.PUnit public import Mathlib.Topology.Sheaves.Sheaf public import Mathlib.Topology.Sheaves.SheafCondition.EqualizerProducts public import Mathlib.Topology.Sheaves.SheafCondition.OpensLeCover public import Mathlib.Topology.Sheaves.SheafCondition.PairwiseIntersections public import Mathlib.Topology.Sheaves.SheafCondition.Sites public import Mathlib.Topology.Sheaves.SheafCondition.UniqueGluing -public import Mathlib.Topology.Sheaves.SheafOfFunctions public import Mathlib.Topology.Sheaves.Sheafify +public import Mathlib.Topology.Sheaves.SheafOfFunctions public import Mathlib.Topology.Sheaves.Skyscraper public import Mathlib.Topology.Sheaves.Stalks public import Mathlib.Topology.ShrinkingLemma @@ -8216,8 +8290,8 @@ public import Mathlib.Util.GetAllModules public import Mathlib.Util.LongNames public import Mathlib.Util.MemoFix public import Mathlib.Util.Notation3 -public import Mathlib.Util.PPOptions public import Mathlib.Util.ParseCommand +public import Mathlib.Util.PPOptions public import Mathlib.Util.PrintSorries public import Mathlib.Util.Qq public import Mathlib.Util.Simp @@ -8229,5 +8303,5 @@ public import Mathlib.Util.TermReduce public import Mathlib.Util.TransImports public import Mathlib.Util.WhatsNew public import Mathlib.Util.WithWeakNamespace - +public import Std set_option linter.style.longLine false diff --git a/Mathlib/Combinatorics/CellularSurface.lean b/Mathlib/Combinatorics/CellularSurface.lean new file mode 100644 index 00000000000000..a894799bdd54c2 --- /dev/null +++ b/Mathlib/Combinatorics/CellularSurface.lean @@ -0,0 +1,480 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Data.ZMod.Basic +public import Mathlib.LinearAlgebra.Matrix.Rank +public import Mathlib.Algebra.BigOperators.Group.Finset.Basic +public import Mathlib.Algebra.Field.ZMod +public import Mathlib.LinearAlgebra.Dimension.Finite +public import Mathlib.LinearAlgebra.FiniteDimensional.Lemmas +public import Mathlib.Combinatorics.SimpleGraph.Connectivity.Connected + +/-! +# Cellular surfaces, CSS codes, and k = 2g + +A `CellularSurface` encodes the combinatorial data of a 2-cell embedding of a graph +on a closed surface: vertices, edges with endpoints, and faces whose boundaries are +closed directed trails. The boundary operators ∂₁ (vertex-edge) and ∂₂ (edge-face) +are matrices over F₂, and the chain complex condition ∂₁ ∘ ∂₂ = 0 is proved from the +closed walk axiom. + +The rank theorems `rank(∂₁) = V - 1` and `rank(∂₂) = F - 1` follow from kernel +characterisations: for connected graphs, `ker(∂₁ᵀ) = span{1}` over F₂. + +A `SurfaceTiling` with genus g gives a CSS quantum error-correcting code encoding +`k = 2g` logical qubits: the first Betti number of the surface. This follows from +the rank theorems and Euler's formula `V - E + F = 2 - 2g`. + +## Main definitions + +* `CellularSurface` — combinatorial 2-cell embedding of a graph on a closed surface +* `CellularSurface.d1` — the boundary operator ∂₁ (vertex-edge incidence over F₂) +* `CellularSurface.d2` — the boundary operator ∂₂ (edge-face boundary over F₂) +* `SurfaceTiling` — a surface tiling with Euler characteristic `2 - 2g` +* `CSSFromTiling` — a CSS quantum code from a surface tiling + +## Main results + +* `CellularSurface.d1_mul_d2_eq_zero` — ∂₁ ∘ ∂₂ = 0 +* `CellularSurface.d1_rank_eq` — rank(∂₁) = V - 1 for connected graphs +* `CellularSurface.d2_rank_eq` — rank(∂₂) = F - 1 for connected dual graphs +* `css_k_eq_2g` — the CSS surface code encodes 2g logical qubits +* `CellularSurface.css_k_eq_2g_from_surface` — end-to-end from combinatorial data + +## References + +* Breuckmann & Terhal, *Constructions and noise threshold of hyperbolic surface codes*, + IEEE Trans. Inf. Theory 62(6), 2016, arXiv:1506.04029 +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798 +-/ + +@[expose] public section + +open Matrix Finset + +attribute [local instance] ZMod.instField + +/-! ## CellularSurface -/ + +/-- A `CellularSurface` is the combinatorial data of a 2-cell embedding of a +graph on a closed surface. Faces are given as closed directed trails: +ordered sequences of directed edges forming closed walks in the graph. -/ +structure CellularSurface where + /-- Number of vertices (0-cells) -/ + nV : ℕ + /-- Number of edges (1-cells) -/ + nE : ℕ + /-- Number of faces (2-cells) -/ + nF : ℕ + /-- Source vertex of each edge -/ + edge_src : Fin nE → Fin nV + /-- Target vertex of each edge -/ + edge_tgt : Fin nE → Fin nV + /-- No loops: every edge has distinct endpoints -/ + edge_ne : ∀ e, edge_src e ≠ edge_tgt e + /-- Number of edges bounding each face -/ + face_len : Fin nF → ℕ + /-- Every face boundary is nonempty -/ + face_len_pos : ∀ f, 0 < face_len f + /-- The sequence of edges traversed by face f's boundary -/ + face_edge : (f : Fin nF) → Fin (face_len f) → Fin nE + /-- Traversal direction for each boundary step: `true` = src → tgt -/ + face_dir : (f : Fin nF) → Fin (face_len f) → Bool + /-- Trail condition: no edge is traversed twice in a single face boundary -/ + face_inj : ∀ f, Function.Injective (face_edge f) + /-- **Closed walk**: the end vertex of step `i` equals the start vertex of the + cyclically next step. -/ + face_closed : ∀ (f : Fin nF) (i : Fin (face_len f)), + let j : Fin (face_len f) := + ⟨(i.val + 1) % face_len f, Nat.mod_lt _ (face_len_pos f)⟩ + (if face_dir f i then edge_tgt (face_edge f i) else edge_src (face_edge f i)) = + (if face_dir f j then edge_src (face_edge f j) else edge_tgt (face_edge f j)) + +namespace CellularSurface + +variable (S : CellularSurface) + +/-- Cyclic successor on face boundary indices. -/ +def nextIdx (f : Fin S.nF) (i : Fin (S.face_len f)) : Fin (S.face_len f) := + ⟨(i.val + 1) % S.face_len f, Nat.mod_lt _ (S.face_len_pos f)⟩ + +/-- The starting vertex when traversing step `i` of face `f`'s boundary. -/ +def stepStart (f : Fin S.nF) (i : Fin (S.face_len f)) : Fin S.nV := + if S.face_dir f i then S.edge_src (S.face_edge f i) + else S.edge_tgt (S.face_edge f i) + +/-- The ending vertex when traversing step `i` of face `f`'s boundary. -/ +def stepEnd (f : Fin S.nF) (i : Fin (S.face_len f)) : Fin S.nV := + if S.face_dir f i then S.edge_tgt (S.face_edge f i) + else S.edge_src (S.face_edge f i) + +theorem stepEnd_eq_stepStart_next (f : Fin S.nF) (i : Fin (S.face_len f)) : + S.stepEnd f i = S.stepStart f (S.nextIdx f i) := + S.face_closed f i + +/-! ### Boundary operators over F₂ -/ + +/-- The boundary operator ∂₁: vertex–edge incidence matrix over F₂. -/ +def d1 : Matrix (Fin S.nV) (Fin S.nE) (ZMod 2) := + fun v e => (if S.edge_src e = v then 1 else 0) + (if S.edge_tgt e = v then 1 else 0) + +/-- The boundary operator ∂₂: edge–face boundary matrix over F₂. -/ +def d2 : Matrix (Fin S.nE) (Fin S.nF) (ZMod 2) := + fun e f => ∑ i : Fin (S.face_len f), if S.face_edge f i = e then 1 else 0 + +/-! ### ∂₁ ∘ ∂₂ = 0 -/ + +theorem nextIdx_injective (f : Fin S.nF) : Function.Injective (S.nextIdx f) := by + intro a b h + simp only [nextIdx, Fin.mk.injEq] at h + have ha := a.isLt; have hb := b.isLt + ext + by_cases ha' : a.val + 1 < S.face_len f <;> by_cases hb' : b.val + 1 < S.face_len f + · rw [Nat.mod_eq_of_lt ha', Nat.mod_eq_of_lt hb'] at h; omega + · rw [Nat.mod_eq_of_lt ha', show b.val + 1 = S.face_len f from by omega, Nat.mod_self] at h + omega + · rw [show a.val + 1 = S.face_len f from by omega, Nat.mod_self, Nat.mod_eq_of_lt hb'] at h + omega + · omega + +theorem nextIdx_bijective (f : Fin S.nF) : Function.Bijective (S.nextIdx f) := + Finite.injective_iff_bijective.mp (S.nextIdx_injective f) + +/-- `nextIdx` as a permutation (equivalence) on face boundary indices. -/ +noncomputable def nextPerm (f : Fin S.nF) : Equiv.Perm (Fin (S.face_len f)) := + Equiv.ofBijective _ (S.nextIdx_bijective f) + +theorem d1_eq_start_add_end (v : Fin S.nV) (f : Fin S.nF) (i : Fin (S.face_len f)) : + S.d1 v (S.face_edge f i) = + (if S.stepStart f i = v then 1 else 0) + + (if S.stepEnd f i = v then 1 else 0) := by + unfold d1 stepStart stepEnd + rcases S.face_dir f i with _ | _ <;> simp [add_comm] + +/-- **∂₁ ∘ ∂₂ = 0**: the chain complex condition for cellular surfaces over F₂. -/ +theorem d1_mul_d2_eq_zero : S.d1 * S.d2 = 0 := by + ext v f + simp only [Matrix.mul_apply, d2, Matrix.zero_apply] + simp_rw [Finset.mul_sum] + rw [Finset.sum_comm] + have step2 : ∀ i : Fin (S.face_len f), + ∑ e : Fin S.nE, S.d1 v e * (if S.face_edge f i = e then 1 else 0) = + S.d1 v (S.face_edge f i) := by + intro i + conv_lhs => + arg 2; ext e + rw [show S.d1 v e * (if S.face_edge f i = e then 1 else 0) = + (if e = S.face_edge f i then S.d1 v e else 0) from by + split_ifs with h1 h2 h2 <;> simp_all [eq_comm]] + rw [Finset.sum_ite_eq']; simp [Finset.mem_univ] + simp_rw [step2, S.d1_eq_start_add_end v f, Finset.sum_add_distrib] + have step5 : ∀ i, (if S.stepEnd f i = v then (1 : ZMod 2) else 0) = + (if S.stepStart f (S.nextIdx f i) = v then 1 else 0) := by + intro i; rw [← S.stepEnd_eq_stepStart_next] + simp_rw [step5] + rw [show ∑ i, (if S.stepStart f (S.nextIdx f i) = v then (1 : ZMod 2) else 0) = + ∑ i, (if S.stepStart f i = v then 1 else 0) from + Equiv.sum_comp (S.nextPerm f) (fun j => if S.stepStart f j = v then 1 else 0)] + have : ∀ (x : ZMod 2), x + x = 0 := by decide + exact this _ + +/-! ### Rank theorems -/ + +theorem d1_col_sum_eq_zero (e : Fin S.nE) : + ∑ v : Fin S.nV, S.d1 v e = 0 := by + simp only [d1, Finset.sum_add_distrib] + have hsum : ∀ (a : Fin S.nV), + ∑ v : Fin S.nV, (if a = v then (1 : ZMod 2) else 0) = 1 := fun a => by + rw [Finset.sum_eq_single_of_mem a (Finset.mem_univ _) + (fun b _ hne => if_neg (Ne.symm hne)), if_pos rfl] + simp only [hsum]; decide + +theorem one_mem_ker_d1T : + (1 : Fin S.nV → ZMod 2) ∈ LinearMap.ker S.d1ᵀ.mulVecLin := by + rw [LinearMap.mem_ker]; ext e + simp only [mulVecLin_apply, mulVec, dotProduct, transpose_apply, Pi.zero_apply, + Pi.one_apply, mul_one] + exact S.d1_col_sum_eq_zero e + +theorem one_ne_zero_fin (hV : 0 < S.nV) : + (1 : Fin S.nV → ZMod 2) ≠ 0 := by + intro h; exact absurd (congr_fun h ⟨0, hV⟩) (by simp) + +theorem d1_rank_le (hV : 0 < S.nV) : S.d1.rank ≤ S.nV - 1 := by + rw [← rank_transpose S.d1] + have hrn := LinearMap.finrank_range_add_finrank_ker S.d1ᵀ.mulVecLin + simp only [rank, Module.finrank_pi_fintype, Module.finrank_self, Finset.sum_const, + Finset.card_univ, Fintype.card_fin, smul_eq_mul, mul_one] at hrn ⊢ + have hker_ne : LinearMap.ker S.d1ᵀ.mulVecLin ≠ ⊥ := by + rw [ne_eq, LinearMap.ker_eq_bot']; push Not + exact ⟨1, (LinearMap.mem_ker.mp S.one_mem_ker_d1T), S.one_ne_zero_fin hV⟩ + have hker_pos : 1 ≤ Module.finrank (ZMod 2) (LinearMap.ker S.d1ᵀ.mulVecLin) := + Submodule.one_le_finrank_iff.mpr hker_ne + omega + +/-- The underlying simple graph of a CellularSurface. -/ +def toSimpleGraph : SimpleGraph (Fin S.nV) where + Adj u v := ∃ e : Fin S.nE, + (S.edge_src e = u ∧ S.edge_tgt e = v) ∨ (S.edge_src e = v ∧ S.edge_tgt e = u) + symm u v := fun ⟨e, h⟩ => ⟨e, h.symm⟩ + loopless := ⟨fun v ⟨e, h⟩ => by + rcases h with ⟨h1, h2⟩ | ⟨h1, h2⟩ <;> exact S.edge_ne e (h1.trans h2.symm)⟩ + +theorem d1T_mulVec_entry (x : Fin S.nV → ZMod 2) (e : Fin S.nE) : + (S.d1ᵀ *ᵥ x) e = x (S.edge_src e) + x (S.edge_tgt e) := by + simp only [mulVec, dotProduct, transpose_apply, d1, add_mul, Finset.sum_add_distrib] + have hsum : ∀ (a : Fin S.nV), + ∑ v : Fin S.nV, (if a = v then (1 : ZMod 2) else 0) * x v = x a := fun a => by + rw [Finset.sum_eq_single_of_mem a (Finset.mem_univ _) + (fun b _ hne => by simp [Ne.symm hne])]; simp + simp only [hsum] + +theorem ker_d1T_edge_eq {x : Fin S.nV → ZMod 2} + (hx : x ∈ LinearMap.ker S.d1ᵀ.mulVecLin) (e : Fin S.nE) : + x (S.edge_src e) = x (S.edge_tgt e) := by + have h := congr_fun (LinearMap.mem_ker.mp hx) e + simp only [mulVecLin_apply, Pi.zero_apply] at h + rw [S.d1T_mulVec_entry x e] at h + have : ∀ (a b : ZMod 2), a + b = 0 → a = b := by decide + exact this _ _ h + +theorem walk_preserves_ker {x : Fin S.nV → ZMod 2} + (hx : x ∈ LinearMap.ker S.d1ᵀ.mulVecLin) + {u v : Fin S.nV} (w : S.toSimpleGraph.Walk u v) : + x u = x v := by + induction w with + | nil => rfl + | cons hadj _ ih => + obtain ⟨e, h | h⟩ := hadj + · have := S.ker_d1T_edge_eq hx e; rw [h.1, h.2] at this; exact this.trans ih + · have := S.ker_d1T_edge_eq hx e; rw [h.1, h.2] at this; exact this.symm.trans ih + +theorem ker_d1T_le_span_one (hconn : S.toSimpleGraph.Connected) : + LinearMap.ker S.d1ᵀ.mulVecLin ≤ Submodule.span (ZMod 2) {1} := by + intro x hx + rw [Submodule.mem_span_singleton] + have hV : 0 < S.nV := by obtain ⟨⟨_, hlt⟩⟩ := hconn.nonempty; omega + have hconst : ∀ u v : Fin S.nV, x u = x v := fun u v => + S.walk_preserves_ker hx (hconn.preconnected u v).some + exact ⟨x ⟨0, hV⟩, funext fun v => by + simp [Pi.smul_apply, smul_eq_mul, mul_one, hconst ⟨0, hV⟩ v]⟩ + +theorem ker_d1T_finrank_eq_one (hconn : S.toSimpleGraph.Connected) (hV : 0 < S.nV) : + Module.finrank (ZMod 2) (LinearMap.ker S.d1ᵀ.mulVecLin) = 1 := by + have heq : LinearMap.ker S.d1ᵀ.mulVecLin = + Submodule.span (ZMod 2) {(1 : Fin S.nV → ZMod 2)} := + le_antisymm (S.ker_d1T_le_span_one hconn) + ((Submodule.span_singleton_le_iff_mem _ _).mpr S.one_mem_ker_d1T) + rw [heq]; exact finrank_span_singleton (S.one_ne_zero_fin hV) + +/-- **rank(∂₁) = V - 1** for connected graphs. -/ +theorem d1_rank_eq (hconn : S.toSimpleGraph.Connected) (hV : 1 < S.nV) : + (S.d1.rank : ℤ) = S.nV - 1 := by + have hle := S.d1_rank_le (by omega) + have hge : S.nV - 1 ≤ S.d1.rank := by + rw [← rank_transpose S.d1] + have hrn := LinearMap.finrank_range_add_finrank_ker S.d1ᵀ.mulVecLin + simp only [rank, Module.finrank_pi_fintype, Module.finrank_self, Finset.sum_const, + Finset.card_univ, Fintype.card_fin, smul_eq_mul, mul_one] at hrn ⊢ + rw [S.ker_d1T_finrank_eq_one hconn (by omega)] at hrn; omega + omega + +/-! ### Dual graph and rank(∂₂) -/ + +/-- The dual graph: faces as vertices, adjacent when sharing a boundary edge. -/ +def toDualSimpleGraph : SimpleGraph (Fin S.nF) where + Adj f1 f2 := f1 ≠ f2 ∧ ∃ e : Fin S.nE, + (∃ i, S.face_edge f1 i = e) ∧ (∃ j, S.face_edge f2 j = e) + symm _ _ := fun ⟨hne, e, h1, h2⟩ => ⟨hne.symm, e, h2, h1⟩ + loopless := ⟨fun _ ⟨hne, _⟩ => hne rfl⟩ + +theorem d2_entry (f : Fin S.nF) (e : Fin S.nE) : + S.d2 e f = if ∃ i, S.face_edge f i = e then 1 else 0 := by + simp only [d2]; split_ifs with h + · obtain ⟨i, hi⟩ := h + rw [Finset.sum_eq_single_of_mem i (Finset.mem_univ _) (fun k _ hki => + if_neg (fun hk => hki (S.face_inj f (hk.trans hi.symm))))]; simp [hi] + · push Not at h; exact Finset.sum_eq_zero (fun i _ => if_neg (h i)) + +theorem d2_rank_le (hF : 0 < S.nF) (htwo_vec : S.d2 *ᵥ 1 = 0) : + S.d2.rank ≤ S.nF - 1 := by + unfold rank + have hrn := LinearMap.finrank_range_add_finrank_ker S.d2.mulVecLin + simp only [Module.finrank_pi_fintype, Module.finrank_self, Finset.sum_const, + Finset.card_univ, Fintype.card_fin, smul_eq_mul, mul_one] at hrn ⊢ + have hker_ne : LinearMap.ker S.d2.mulVecLin ≠ ⊥ := by + rw [ne_eq, LinearMap.ker_eq_bot']; push Not + exact ⟨1, by rwa [show S.d2.mulVecLin 1 = S.d2 *ᵥ 1 from rfl], + fun h => absurd (congr_fun h ⟨0, hF⟩) (by simp)⟩ + have : 1 ≤ Module.finrank (ZMod 2) (LinearMap.ker S.d2.mulVecLin) := + Submodule.one_le_finrank_iff.mpr hker_ne + omega + +theorem ker_d2_dual_adj_eq {y : Fin S.nF → ZMod 2} + (hy : y ∈ LinearMap.ker S.d2.mulVecLin) + (htwo : ∀ e, (Finset.univ.filter fun f : Fin S.nF => S.d2 e f ≠ 0).card = 2) + {f₁ f₂ : Fin S.nF} (hadj : S.toDualSimpleGraph.Adj f₁ f₂) : + y f₁ = y f₂ := by + obtain ⟨hne, e, ⟨i, hi⟩, ⟨j, hj⟩⟩ := hadj + have hd₁ : S.d2 e f₁ = 1 := by rw [S.d2_entry]; exact if_pos ⟨i, hi⟩ + have hd₂ : S.d2 e f₂ = 1 := by rw [S.d2_entry]; exact if_pos ⟨j, hj⟩ + obtain ⟨a, b, hab, hFe_eq⟩ := Finset.card_eq_two.mp (htwo e) + have hf₁_mem : f₁ ∈ ({a, b} : Finset _) := by + rw [← hFe_eq]; exact Finset.mem_filter.mpr ⟨Finset.mem_univ _, by simp [hd₁]⟩ + have hf₂_mem : f₂ ∈ ({a, b} : Finset _) := by + rw [← hFe_eq]; exact Finset.mem_filter.mpr ⟨Finset.mem_univ _, by simp [hd₂]⟩ + have hker_e : ∑ f, S.d2 e f * y f = 0 := by + have := congr_fun (LinearMap.mem_ker.mp hy) e + simpa [mulVecLin_apply, mulVec, dotProduct] using this + have hpair : y a + y b = 0 := by + have hsplit : ∑ f, S.d2 e f * y f = + ∑ f ∈ Finset.univ.filter (fun f => S.d2 e f ≠ 0), S.d2 e f * y f := by + symm; apply Finset.sum_subset (Finset.filter_subset _ _) + intro f _ hf; simp only [Finset.mem_filter, Finset.mem_univ, true_and, not_not] at hf + rw [hf, zero_mul] + rw [hsplit, hFe_eq, Finset.sum_pair hab] at hker_e + have hzmod2 : ∀ (x : ZMod 2), x ≠ 0 → x = 1 := by decide + have ha_ne := (Finset.mem_filter.mp (hFe_eq ▸ Finset.mem_insert_self a {b})).2 + have hb_ne := (Finset.mem_filter.mp (hFe_eq ▸ Finset.mem_insert.mpr + (Or.inr (Finset.mem_singleton.mpr rfl)))).2 + rwa [hzmod2 _ ha_ne, hzmod2 _ hb_ne, one_mul, one_mul] at hker_e + have hab_eq : y a = y b := by + have : ∀ (x z : ZMod 2), x + z = 0 → x = z := by decide + exact this _ _ hpair + simp only [Finset.mem_insert, Finset.mem_singleton] at hf₁_mem hf₂_mem + rcases hf₁_mem with rfl | rfl <;> rcases hf₂_mem with rfl | rfl + · exact absurd rfl hne + · exact hab_eq + · exact hab_eq.symm + · exact absurd rfl hne + +theorem d2_mulVec_one_of_two_sides + (htwo : ∀ e, (Finset.univ.filter fun f : Fin S.nF => S.d2 e f ≠ 0).card = 2) : + S.d2 *ᵥ 1 = 0 := by + ext e + simp only [mulVec, dotProduct, Pi.one_apply, mul_one, Pi.zero_apply] + rw [show ∑ f, S.d2 e f = ∑ f ∈ Finset.univ.filter (fun f => S.d2 e f ≠ 0), S.d2 e f from by + symm; apply Finset.sum_subset (Finset.filter_subset _ _) + intro f _ hf; simpa using hf] + obtain ⟨a, b, hab, hFe_eq⟩ := Finset.card_eq_two.mp (htwo e) + rw [hFe_eq, Finset.sum_pair hab] + have hzmod2 : ∀ (x : ZMod 2), x ≠ 0 → x = 1 := by decide + have ha := (Finset.mem_filter.mp (hFe_eq ▸ Finset.mem_insert_self a {b})).2 + have hb := (Finset.mem_filter.mp (hFe_eq ▸ Finset.mem_insert.mpr + (Or.inr (Finset.mem_singleton.mpr rfl)))).2 + rw [hzmod2 _ ha, hzmod2 _ hb]; decide + +/-- **rank(∂₂) = F - 1** for connected dual graphs with the two-sides condition. -/ +theorem d2_rank_eq (hconn_dual : S.toDualSimpleGraph.Connected) (hF : 1 < S.nF) + (htwo : ∀ e, (Finset.univ.filter fun f : Fin S.nF => S.d2 e f ≠ 0).card = 2) : + (S.d2.rank : ℤ) = S.nF - 1 := by + have hF_pos : 0 < S.nF := by omega + have hmem : (1 : Fin S.nF → ZMod 2) ∈ LinearMap.ker S.d2.mulVecLin := by + rw [LinearMap.mem_ker, mulVecLin_apply]; exact S.d2_mulVec_one_of_two_sides htwo + have heq : LinearMap.ker S.d2.mulVecLin = + Submodule.span (ZMod 2) {(1 : Fin S.nF → ZMod 2)} := + le_antisymm + (by intro y hy; rw [Submodule.mem_span_singleton] + have hconst : ∀ a b : Fin S.nF, y a = y b := fun a b => + by induction (hconn_dual.preconnected a b).some with + | nil => rfl + | cons hadj _ ih => exact (S.ker_d2_dual_adj_eq hy htwo hadj).trans ih + exact ⟨y ⟨0, hF_pos⟩, funext fun v => by + simp [Pi.smul_apply, smul_eq_mul, mul_one, hconst ⟨0, hF_pos⟩ v]⟩) + ((Submodule.span_singleton_le_iff_mem _ _).mpr hmem) + have hle := S.d2_rank_le hF_pos (S.d2_mulVec_one_of_two_sides htwo) + have hge : S.nF - 1 ≤ S.d2.rank := by + have hker : Module.finrank (ZMod 2) (LinearMap.ker S.d2.mulVecLin) = 1 := by + rw [heq]; exact finrank_span_singleton (fun h => absurd (congr_fun h ⟨0, hF_pos⟩) (by simp)) + have hrn := LinearMap.finrank_range_add_finrank_ker S.d2.mulVecLin + simp only [rank, Module.finrank_pi_fintype, Module.finrank_self, Finset.sum_const, + Finset.card_univ, Fintype.card_fin, smul_eq_mul, mul_one] at hrn ⊢ + rw [hker] at hrn; omega + omega + +end CellularSurface + +/-! ## CSS quantum codes from surface tilings -/ + +/-- A tiling of a closed orientable surface of genus `g`. -/ +structure SurfaceTiling where + /-- Number of vertices -/ + V : ℕ + /-- Number of edges -/ + E : ℕ + /-- Number of faces -/ + F : ℕ + /-- Genus of the surface -/ + g : ℕ + /-- The primal graph is non-degenerate -/ + hV : 0 < V + /-- The dual graph is non-degenerate -/ + hF : 0 < F + /-- Euler's formula -/ + euler : (V : ℤ) - E + F = 2 - 2 * g + +/-- A CSS quantum code from a surface tiling. -/ +structure CSSFromTiling (T : SurfaceTiling) where + /-- X-check matrix (vertex-edge incidence) -/ + H_X : Matrix (Fin T.V) (Fin T.E) (ZMod 2) + /-- Z-check matrix (face-edge incidence) -/ + H_Z : Matrix (Fin T.F) (Fin T.E) (ZMod 2) + /-- CSS orthogonality -/ + orthogonal : H_X * H_Zᵀ = 0 + +namespace CSSFromTiling + +variable {T : SurfaceTiling} + +/-- The number of logical qubits: k = E - rank(H_X) - rank(H_Z). -/ +noncomputable def k (css : CSSFromTiling T) : ℤ := + (T.E : ℤ) - css.H_X.rank - css.H_Z.rank + +end CSSFromTiling + +/-- **The CSS surface code theorem**: k = 2g. -/ +theorem css_k_eq_2g (T : SurfaceTiling) (css : CSSFromTiling T) + (hX : (css.H_X.rank : ℤ) = T.V - 1) + (hZ : (css.H_Z.rank : ℤ) = T.F - 1) : + css.k = 2 * T.g := by + unfold CSSFromTiling.k + linarith [T.euler] + +/-! ## Assembly: CellularSurface → k = 2g -/ + +/-- Extract a `SurfaceTiling` from a `CellularSurface` with given genus. -/ +def CellularSurface.toSurfaceTiling (S : CellularSurface) (g : ℕ) + (hV : 0 < S.nV) (hF : 0 < S.nF) + (euler : (S.nV : ℤ) - S.nE + S.nF = 2 - 2 * g) : SurfaceTiling where + V := S.nV + E := S.nE + F := S.nF + g := g + hV := hV + hF := hF + euler := euler + +/-- **End-to-end theorem**: a CellularSurface with connected primal and dual graphs +on a genus-g surface encodes exactly 2g logical qubits. -/ +theorem CellularSurface.css_k_eq_2g_from_surface (S : CellularSurface) (g : ℕ) + (hV : 1 < S.nV) (hF : 1 < S.nF) + (euler : (S.nV : ℤ) - S.nE + S.nF = 2 - 2 * g) + (hconn : S.toSimpleGraph.Connected) + (hconn_dual : S.toDualSimpleGraph.Connected) + (htwo : ∀ e, (Finset.univ.filter fun f : Fin S.nF => S.d2 e f ≠ 0).card = 2) : + let T := S.toSurfaceTiling g (by omega) (by omega) euler + let css : CSSFromTiling T := + { H_X := S.d1 + H_Z := S.d2ᵀ + orthogonal := by rw [Matrix.transpose_transpose]; exact S.d1_mul_d2_eq_zero } + css.k = 2 * g := by + intro T css + apply css_k_eq_2g + · exact S.d1_rank_eq hconn hV + · change (S.d2ᵀ.rank : ℤ) = S.nF - 1 + rw [rank_transpose] + exact S.d2_rank_eq hconn_dual hF htwo diff --git a/Mathlib/Combinatorics/SimpleGraph/Action.lean b/Mathlib/Combinatorics/SimpleGraph/Action.lean new file mode 100644 index 00000000000000..0b7875c8109f46 --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/Action.lean @@ -0,0 +1,129 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.Maps +public import Mathlib.GroupTheory.GroupAction.Basic + +/-! +# Group actions on simple graphs + +Given a group `G` acting on a type `V` via `MulAction G V`, and a simple graph `Γ : SimpleGraph V`, +we say the action is a *graph action* if it preserves adjacency: `Γ.Adj u v → Γ.Adj (g • u) (g • v)` +for all `g : G`. + +## Main definitions + +* `GraphAction G Γ` — the action of `G` on `V` preserves the adjacency relation of `Γ` +* `GraphAction.adj_smul_iff` — for groups, adjacency is an iff (not just an implication) +* `GraphAction.toIso` — each `g : G` induces a graph isomorphism `Γ ≃g Γ` +* `IsVertexTransitive G Γ` — the action is a graph action and is transitive +* `IsArcTransitive G Γ` — the action is transitive on ordered adjacent pairs +* `IsLocallyTransitive G Γ v` — the stabilizer of `v` acts transitively on its neighbors + +## Main results + +* `isArcTransitive_of_vertexTransitive_locallyTransitive` — vertex-transitive + locally + transitive implies arc-transitive +-/ + +@[expose] public section + +variable {G V : Type*} + +/-- A group action on `V` is a *graph action* on `Γ : SimpleGraph V` if it preserves adjacency. -/ +class GraphAction (G : Type*) (V : Type*) [Group G] [MulAction G V] + (Γ : SimpleGraph V) : Prop where + /-- The action preserves adjacency. -/ + adj_smul : ∀ (g : G) (u v : V), Γ.Adj u v → Γ.Adj (g • u) (g • v) + +namespace GraphAction + +variable [Group G] [MulAction G V] {Γ : SimpleGraph V} [GraphAction G V Γ] + +/-- For group actions, adjacency is preserved in both directions: +`Γ.Adj (g • u) (g • v) ↔ Γ.Adj u v`. -/ +theorem adj_smul_iff (g : G) (u v : V) : Γ.Adj (g • u) (g • v) ↔ Γ.Adj u v := by + constructor + · intro h + have h' := adj_smul g⁻¹ (g • u) (g • v) h + simp only [inv_smul_smul] at h' + exact h' + · exact adj_smul g u v + +/-- Each group element `g` induces a graph isomorphism `Γ ≃g Γ`. -/ +noncomputable def toIso (g : G) : Γ ≃g Γ where + toEquiv := MulAction.toPerm g + map_rel_iff' := adj_smul_iff g _ _ + +@[simp] +theorem toIso_apply (g : G) (v : V) : (toIso g : Γ ≃g Γ) v = g • v := rfl + +@[simp] +theorem toIso_symm (g : G) : (toIso g : Γ ≃g Γ).symm = toIso g⁻¹ := by + ext v + simp [toIso] + +theorem toIso_mul (g h : G) : + (toIso (g * h) : Γ ≃g Γ) = (toIso h : Γ ≃g Γ).trans (toIso g) := by + ext v + simp [toIso, mul_smul] + +end GraphAction + +/-- A graph `Γ` is *vertex-transitive* under the action of `G` if `G` preserves adjacency +and acts transitively on the vertices. -/ +class IsVertexTransitive (G : Type*) (V : Type*) [Group G] [MulAction G V] + (Γ : SimpleGraph V) : Prop extends GraphAction G V Γ where + /-- The action is transitive on vertices. -/ + pretransitive : MulAction.IsPretransitive G V + +attribute [instance] IsVertexTransitive.pretransitive + +/-- A graph `Γ` is *arc-transitive* under the action of `G` if for any two arcs +`(u₁, v₁)` and `(u₂, v₂)`, there exists `g ∈ G` sending `u₁ ↦ u₂` and `v₁ ↦ v₂`. -/ +class IsArcTransitive (G : Type*) (V : Type*) [Group G] [MulAction G V] + (Γ : SimpleGraph V) : Prop extends GraphAction G V Γ where + /-- The action is transitive on arcs (ordered adjacent pairs). -/ + arc_transitive : ∀ u₁ v₁ u₂ v₂ : V, Γ.Adj u₁ v₁ → Γ.Adj u₂ v₂ → + ∃ g : G, g • u₁ = u₂ ∧ g • v₁ = v₂ + +namespace IsArcTransitive + +variable [Group G] [MulAction G V] {Γ : SimpleGraph V} [IsArcTransitive G V Γ] + +/-- An arc-transitive graph with no isolated vertices is vertex-transitive. -/ +theorem isVertexTransitive (hne : ∀ v : V, ∃ w : V, Γ.Adj v w) : + IsVertexTransitive G V Γ where + pretransitive := ⟨by + intro x y + obtain ⟨x', hx'⟩ := hne x + obtain ⟨y', hy'⟩ := hne y + obtain ⟨g, hg, _⟩ := @arc_transitive G V _ _ Γ _ x x' y y' hx' hy' + exact ⟨g, hg⟩⟩ + +end IsArcTransitive + +/-- A graph is *locally transitive* at `v` if the stabilizer of `v` acts transitively +on the neighbors of `v`. -/ +def IsLocallyTransitive (G : Type*) (V : Type*) [Group G] [MulAction G V] + (Γ : SimpleGraph V) (v : V) : Prop := + ∀ w₁ w₂ : V, Γ.Adj v w₁ → Γ.Adj v w₂ → + ∃ g : G, g • v = v ∧ g • w₁ = w₂ + +/-- A vertex-transitive, locally transitive graph is arc-transitive. -/ +theorem isArcTransitive_of_vertexTransitive_locallyTransitive + [Group G] [MulAction G V] (Γ : SimpleGraph V) [IsVertexTransitive G V Γ] + (hlocal : ∀ v : V, IsLocallyTransitive G V Γ v) : + IsArcTransitive G V Γ where + arc_transitive := by + intro u₁ v₁ u₂ v₂ h₁ h₂ + obtain ⟨g, hg⟩ := MulAction.exists_smul_eq G u₁ u₂ + have hadj : Γ.Adj u₂ (g • v₁) := by + rw [← hg] + exact GraphAction.adj_smul g u₁ v₁ h₁ + obtain ⟨h, hhu₂, hhv⟩ := hlocal u₂ (g • v₁) v₂ hadj h₂ + exact ⟨h * g, by rw [mul_smul, hg, hhu₂], by rw [mul_smul, hhv]⟩ diff --git a/Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean b/Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean new file mode 100644 index 00000000000000..c2ffaf6692651a --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/CosetGraph.lean @@ -0,0 +1,128 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.Action +public import Mathlib.GroupTheory.GroupAction.Quotient +public import Mathlib.GroupTheory.DoubleCoset +public import Mathlib.Tactic.Group + +/-! +# Coset graphs (Sabidussi construction) + +Given a group `G`, a subgroup `H`, and a *connection set* `D ⊆ G` that is a union of +`(H, H)`-double cosets, is symmetric (`D = D⁻¹`), and is disjoint from `H`, we define the +**coset graph** `Sab(G, H, D)` whose vertices are the left cosets `G ⧸ H` and whose edges +connect `xH` to `yH` whenever `x⁻¹y ∈ D`. + +This is Sabidussi's generalization of Cayley graphs: when `H = ⊥`, the coset graph on +`G ⧸ ⊥ ≃ G` recovers the Cayley graph `Cay(G, D)`. + +## Main definitions + +* `IsConnectionSet H D` — `D` is a union of `(H, H)`-double cosets, closed under inversion, + and disjoint from `H` +* `SimpleGraph.cosetGraph H D` — the coset graph `Sab(G, H, D)` as a `SimpleGraph (G ⧸ H)` + +## Main results + +* `SimpleGraph.cosetGraph.adj_mk` — adjacency is characterized by `x⁻¹y ∈ D` +* `SimpleGraph.cosetGraph.graphAction` — `G` acts on the coset graph preserving adjacency +* `SimpleGraph.cosetGraph.isVertexTransitive` — coset graphs are vertex-transitive + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798, Chapter 2 §2. +* Sabidussi, *Vertex-transitive graphs*, Monatsh. Math. 68 (1964), 426–438. +-/ + +@[expose] public section + +variable {G : Type*} [Group G] + +/-- A set `D ⊆ G` is a *connection set* for the subgroup `H` if it is stable under +left and right multiplication by `H` (i.e., a union of `(H,H)`-double cosets), +is closed under inversion, and is disjoint from `H`. -/ +structure IsConnectionSet (H : Subgroup G) (D : Set G) : Prop where + /-- `D` is stable under left and right multiplication by elements of `H`. -/ + double_coset_stable : ∀ d ∈ D, ∀ h₁ ∈ (H : Set G), ∀ h₂ ∈ (H : Set G), h₁ * d * h₂ ∈ D + /-- `D` is closed under inversion. -/ + inv_mem : ∀ d ∈ D, d⁻¹ ∈ D + /-- `D` is disjoint from `H`. -/ + disjoint : Disjoint D ↑H + +namespace IsConnectionSet + +variable {H : Subgroup G} {D : Set G} + +theorem one_not_mem (hD : IsConnectionSet H D) : (1 : G) ∉ D := + fun h => Set.disjoint_left.mp hD.disjoint h (Subgroup.one_mem H) + +end IsConnectionSet + +/-- The **coset graph** `Sab(G, H, D)`. Vertices are the left cosets `G ⧸ H`, +and two cosets `xH, yH` are adjacent iff `x⁻¹y ∈ D`. + +This is Sabidussi's generalization of Cayley graphs: when `H = ⊥`, +the coset graph on `G ⧸ ⊥ ≃ G` recovers the Cayley graph `Cay(G, D)`. -/ +noncomputable def SimpleGraph.cosetGraph (H : Subgroup G) (D : Set G) + (hD : IsConnectionSet H D) : SimpleGraph (G ⧸ H) where + Adj q₁ q₂ := Quotient.liftOn₂ q₁ q₂ (fun x y => x⁻¹ * y ∈ D) + (fun a₁ b₁ a₂ b₂ h₁ h₂ => by + have ha : a₁⁻¹ * a₂ ∈ (H : Set G) := QuotientGroup.leftRel_apply.mp h₁ + have hb : b₁⁻¹ * b₂ ∈ (H : Set G) := QuotientGroup.leftRel_apply.mp h₂ + apply propext; change a₁⁻¹ * b₁ ∈ D ↔ a₂⁻¹ * b₂ ∈ D; constructor + · intro h + have key : a₂⁻¹ * b₂ = (a₂⁻¹ * a₁) * (a₁⁻¹ * b₁) * (b₁⁻¹ * b₂) := by group + rw [key] + refine hD.double_coset_stable _ h _ ?_ _ hb + have : (a₁⁻¹ * a₂)⁻¹ ∈ (H : Set G) := H.inv_mem ha + rwa [mul_inv_rev, inv_inv] at this + · intro h + have key : a₁⁻¹ * b₁ = (a₁⁻¹ * a₂) * (a₂⁻¹ * b₂) * (b₂⁻¹ * b₁) := by group + rw [key] + refine hD.double_coset_stable _ h _ ha _ ?_ + have : (b₁⁻¹ * b₂)⁻¹ ∈ (H : Set G) := H.inv_mem hb + rwa [mul_inv_rev, inv_inv] at this) + symm := by + intro q₁ q₂ + refine Quotient.inductionOn₂ q₁ q₂ fun x y => ?_ + simp only [Quotient.liftOn₂_mk] + intro h + have hmem := hD.inv_mem _ h + rwa [mul_inv_rev, inv_inv] at hmem + loopless := ⟨by + intro q + refine Quotient.inductionOn q fun x => ?_ + simp only [Quotient.liftOn₂_mk] + show ¬(x⁻¹ * x ∈ D) + rw [inv_mul_cancel] + exact hD.one_not_mem⟩ + +namespace SimpleGraph.cosetGraph + +variable (H : Subgroup G) (D : Set G) (hD : IsConnectionSet H D) + +/-- Adjacency in the coset graph is characterized by membership of `x⁻¹y` in `D`. -/ +@[simp] +theorem adj_mk (x y : G) : + (cosetGraph H D hD).Adj (QuotientGroup.mk x) (QuotientGroup.mk y) ↔ x⁻¹ * y ∈ D := + Iff.rfl + +/-- The left multiplication action of `G` on `G ⧸ H` preserves coset graph adjacency. -/ +instance graphAction : GraphAction G (G ⧸ H) (cosetGraph H D hD) where + adj_smul g q₁ q₂ := by + refine Quotient.inductionOn₂ q₁ q₂ fun x y => ?_ + intro h + change (g * x)⁻¹ * (g * y) ∈ D + rw [mul_inv_rev, mul_assoc, inv_mul_cancel_left] + exact h + +/-- Coset graphs are vertex-transitive under the natural action of `G`. -/ +instance isVertexTransitive : IsVertexTransitive G (G ⧸ H) (cosetGraph H D hD) where + pretransitive := MulAction.isPretransitive_quotient G H + +end SimpleGraph.cosetGraph diff --git a/Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean b/Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean new file mode 100644 index 00000000000000..420b6dffab698e --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/QuotientGraph.lean @@ -0,0 +1,134 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.Symmetric +public import Mathlib.GroupTheory.GroupAction.Blocks + +/-! +# Quotient graphs and the Lorimer quotient theorem + +The quotient of a symmetric graph `Sab(G, H, HaH)` by a `G`-invariant partition +is again a symmetric graph `Sab(G, K, KaK)` for some overgroup `H ≤ K ≤ G`. + +## Main definitions + +* `SimpleGraph.quotientGraph` — quotient of a graph by a surjection (partition) +* `cosetQuotientMap` — the natural map `G ⧸ H → G ⧸ K` for `H ≤ K` +* `expandConnectionSet` — the expanded connection set `KDK` for an overgroup `K` + +## Main results + +* `quotient_cosetGraph_iso` — the quotient of `Sab(G,H,D)` is isomorphic to `Sab(G,K,KDK)` + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798, Chapter 2 §4. +-/ + +@[expose] public section + +variable {G : Type*} [Group G] + +/-! ### Quotient graph construction -/ + +/-- The **quotient graph** of `Γ` with respect to a surjection `π : V → ι`. -/ +def SimpleGraph.quotientGraph {V ι : Type*} (Γ : SimpleGraph V) (π : V → ι) : + SimpleGraph ι where + Adj i j := i ≠ j ∧ ∃ u v : V, π u = i ∧ π v = j ∧ Γ.Adj u v + symm := by + intro i j ⟨hne, u, v, hui, hvj, hadj⟩ + exact ⟨hne.symm, v, u, hvj, hui, Γ.symm hadj⟩ + loopless := ⟨fun i ⟨hne, _⟩ => hne rfl⟩ + +/-! ### The coset quotient map -/ + +/-- The natural map `G ⧸ H → G ⧸ K` for `H ≤ K`, sending `gH ↦ gK`. -/ +noncomputable def cosetQuotientMap (H K : Subgroup G) (hHK : H ≤ K) : + G ⧸ H → G ⧸ K := + Quotient.map' id (fun _ _ h => QuotientGroup.leftRel_apply.mpr + (hHK (QuotientGroup.leftRel_apply.mp h))) + +@[simp] +theorem cosetQuotientMap_mk (H K : Subgroup G) (hHK : H ≤ K) (g : G) : + cosetQuotientMap H K hHK (QuotientGroup.mk g) = QuotientGroup.mk g := + rfl + +/-! ### Expanded connection set KDK -/ + +/-- The expanded connection set `KDK` for an overgroup `K`. -/ +def expandConnectionSet (K : Subgroup G) (D : Set G) : Set G := + {g : G | ∃ k₁ ∈ (K : Set G), ∃ d ∈ D, ∃ k₂ ∈ (K : Set G), g = k₁ * d * k₂} + +/-- `KDK` is a valid connection set for `K` when `D ∩ K = ∅`. -/ +theorem expandConnectionSet_isConnectionSet (H K : Subgroup G) (D : Set G) + (hD : IsConnectionSet H D) (hDK : Disjoint D ↑K) : + IsConnectionSet K (expandConnectionSet K D) where + double_coset_stable := by + intro d hd m₁ hm₁ m₂ hm₂ + obtain ⟨k₁, hk₁, e, he, k₂, hk₂, rfl⟩ := hd + exact ⟨m₁ * k₁, K.mul_mem hm₁ hk₁, e, he, k₂ * m₂, K.mul_mem hk₂ hm₂, by group⟩ + inv_mem := by + intro d hd + obtain ⟨k₁, hk₁, e, he, k₂, hk₂, rfl⟩ := hd + exact ⟨k₂⁻¹, K.inv_mem hk₂, e⁻¹, hD.inv_mem e he, k₁⁻¹, K.inv_mem hk₁, by group⟩ + disjoint := by + rw [Set.disjoint_left] + intro g hg hgK + obtain ⟨k₁, hk₁, d, hd, k₂, hk₂, rfl⟩ := hg + have : d ∈ (K : Set G) := by + have := K.mul_mem (K.mul_mem (K.inv_mem hk₁) hgK) (K.inv_mem hk₂) + convert this using 1; group + exact Set.disjoint_left.mp hDK hd this + +/-! ### The Lorimer quotient theorem -/ + +/-- **Lorimer's Quotient Theorem**: The quotient of `Sab(G, H, D)` by the overgroup +`K ≥ H` (with `D ∩ K = ∅`) is isomorphic to `Sab(G, K, KDK)`. + +The quotient map `G ⧸ H → G ⧸ K` (sending `gH ↦ gK`) induces a graph +isomorphism from the quotient graph to the coset graph with expanded +connection set. -/ +noncomputable def quotient_cosetGraph_iso (H K : Subgroup G) (D : Set G) + (hD : IsConnectionSet H D) (hHK : H ≤ K) + (hDK : Disjoint D ↑K) : + SimpleGraph.quotientGraph (SimpleGraph.cosetGraph H D hD) (cosetQuotientMap H K hHK) ≃g + SimpleGraph.cosetGraph K (expandConnectionSet K D) + (expandConnectionSet_isConnectionSet H K D hD hDK) where + toEquiv := Equiv.refl _ + map_rel_iff' := by + intro q₁ q₂ + refine Quotient.inductionOn₂ q₁ q₂ fun x y => ?_ + simp only [Equiv.refl_apply] + rw [SimpleGraph.cosetGraph.adj_mk] + constructor + · intro ⟨k₁, hk₁, d, hd, k₂, hk₂, heq⟩ + refine ⟨?_, QuotientGroup.mk (x * k₁), + QuotientGroup.mk (x * k₁ * d), ?_, ?_, ?_⟩ + · intro heq' + have : d ∈ (K : Set G) := by + have hK : k₁ * d * k₂ ∈ (K : Set G) := heq ▸ QuotientGroup.eq.mp heq' + have := K.mul_mem (K.mul_mem (K.inv_mem hk₁) hK) (K.inv_mem hk₂) + convert this using 1; group + exact Set.disjoint_left.mp hDK hd this + · simp only [cosetQuotientMap_mk, QuotientGroup.eq] + have : (x * k₁)⁻¹ * x = k₁⁻¹ := by group + rw [this]; exact K.inv_mem hk₁ + · simp only [cosetQuotientMap_mk, QuotientGroup.eq] + have hy : y = x * (k₁ * d * k₂) := by rw [← heq]; group + have : (x * k₁ * d)⁻¹ * (x * (k₁ * d * k₂)) = k₂ := by group + rw [hy, this]; exact hk₂ + · convert hd using 1 + simp [mul_inv_rev, mul_assoc, inv_mul_cancel_left] + · intro ⟨_, u, v, hu, hv, hadj⟩ + revert hu hv hadj + refine Quotient.inductionOn₂ u v fun x' y' hx' hy' (hadj : x'⁻¹ * y' ∈ D) => ?_ + simp only [cosetQuotientMap_mk] at hx' hy' + have hxK : x⁻¹ * x' ∈ (K : Set G) := by + have := K.inv_mem (QuotientGroup.eq.mp hx' : x'⁻¹ * x ∈ K) + rwa [mul_inv_rev, inv_inv] at this + have hyK : y'⁻¹ * y ∈ (K : Set G) := QuotientGroup.eq.mp hy' + exact ⟨x⁻¹ * x', hxK, x'⁻¹ * y', hadj, y'⁻¹ * y, hyK, by group⟩ diff --git a/Mathlib/Combinatorics/SimpleGraph/Representation.lean b/Mathlib/Combinatorics/SimpleGraph/Representation.lean new file mode 100644 index 00000000000000..f90039a6815f9b --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/Representation.lean @@ -0,0 +1,167 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.CosetGraph +public import Mathlib.GroupTheory.GroupAction.Quotient +public import Mathlib.Tactic.Group + +/-! +# The Sabidussi representation theorem + +If a group `G` acts transitively on the vertices of a graph `Γ` while preserving +adjacency, then the orbit-stabilizer equivalence gives a graph isomorphism +`Γ ≃g Sab(G, Gᵥ, D)`, where `Gᵥ` is the stabilizer of a basepoint `v` and +`D = {g ∈ G : Γ.Adj v (g • v)}` is the connection set. + +For **arc-transitive** (symmetric) graphs, the connection set `D` is a single +double coset `HaH`, giving the classical Sabidussi coset graph `Sab(G, H, HaH)`. +For merely vertex-transitive graphs, `D` may be a union of several double cosets. + +## Main definitions + +* `connectionSet G Γ v` — the set of group elements moving `v` to a neighbor +* `connectionSet.isConnectionSet` — the connection set satisfies the axioms +* `sabidussiEquiv` — the equivalence `V ≃ G ⧸ stabilizer G v` for transitive actions +* `sabidussiIso` — the graph isomorphism `Γ ≃g cosetGraph (stabilizer G v) D` + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798, Chapter 2 §2. +* Sabidussi, *Vertex-transitive graphs*, Monatsh. Math. 68 (1964), 426–438. +-/ + +@[expose] public section + +variable {G V : Type*} [Group G] [MulAction G V] {Γ : SimpleGraph V} + +/-! ### The connection set -/ + +/-- The *connection set* of a basepoint `v`: the set of group elements +that move `v` to one of its neighbors. -/ +def connectionSet (G : Type*) [Group G] [MulAction G V] + (Γ : SimpleGraph V) (v : V) : Set G := + {g : G | Γ.Adj v (g • v)} + +namespace connectionSet + +variable [GraphAction G V Γ] (v : V) + +omit [GraphAction G V Γ] in +theorem one_not_mem : (1 : G) ∉ connectionSet G Γ v := by + simp [connectionSet] + +theorem inv_mem {g : G} (hg : g ∈ connectionSet G Γ v) : + g⁻¹ ∈ connectionSet G Γ v := by + simp only [connectionSet, Set.mem_setOf_eq] at hg ⊢ + have h := Γ.symm hg + rwa [← GraphAction.adj_smul_iff g⁻¹, inv_smul_smul] at h + +theorem double_coset_stable {g : G} (hg : g ∈ connectionSet G Γ v) + {h₁ : G} (hh₁ : h₁ ∈ MulAction.stabilizer G v) + {h₂ : G} (hh₂ : h₂ ∈ MulAction.stabilizer G v) : + h₁ * g * h₂ ∈ connectionSet G Γ v := by + simp only [connectionSet, Set.mem_setOf_eq] at hg ⊢ + rw [mul_smul, mul_smul, MulAction.mem_stabilizer_iff.mp hh₂] + have := GraphAction.adj_smul h₁ v (g • v) hg + rwa [MulAction.mem_stabilizer_iff.mp hh₁] at this + +omit [GraphAction G V Γ] in +theorem disjoint_stabilizer : + Disjoint (connectionSet G Γ v) ↑(MulAction.stabilizer G v) := by + rw [Set.disjoint_left] + intro g hg hstab + simp only [connectionSet, Set.mem_setOf_eq] at hg + rw [SetLike.mem_coe, MulAction.mem_stabilizer_iff] at hstab + rw [hstab] at hg + exact (Γ.loopless.irrefl v) hg + +/-- The connection set forms a valid `IsConnectionSet` for the stabilizer subgroup. -/ +theorem isConnectionSet : + IsConnectionSet (MulAction.stabilizer G v) (connectionSet G Γ v) where + double_coset_stable _ hd _ hh₁ _ hh₂ := double_coset_stable v hd hh₁ hh₂ + inv_mem _ hd := inv_mem v hd + disjoint := disjoint_stabilizer v + +end connectionSet + +/-! ### The orbit-stabilizer equivalence -/ + +section SabidussiRepresentation + +variable [GraphAction G V Γ] [MulAction.IsPretransitive G V] (v : V) + +/-- The equivalence `V ≃ G ⧸ stabilizer G v` for a transitive action. + +The forward map sends `u` to the coset `gH` where `g • v = u`. +The inverse map sends `⟦g⟧` to `g • v`. -/ +noncomputable def sabidussiEquiv : V ≃ G ⧸ MulAction.stabilizer G v where + toFun u := QuotientGroup.mk (MulAction.exists_smul_eq G v u).choose + invFun := Quotient.lift (· • v) (by + intro a b hab + have hmem : (a⁻¹ * b) • v = v := + MulAction.mem_stabilizer_iff.mp (QuotientGroup.leftRel_apply.mp hab) + calc a • v = a • ((a⁻¹ * b) • v) := by rw [hmem] + _ = (a * (a⁻¹ * b)) • v := (mul_smul a (a⁻¹ * b) v).symm + _ = b • v := by rw [mul_inv_cancel_left]) + left_inv u := by + simp only + exact (MulAction.exists_smul_eq G v u).choose_spec + right_inv := by + intro q + refine Quotient.inductionOn q fun g => ?_ + simp only [Quotient.lift_mk] + apply QuotientGroup.eq.mpr + rw [MulAction.mem_stabilizer_iff, mul_smul] + set g' := (MulAction.exists_smul_eq G v (g • v)).choose + have hspec : g' • v = g • v := (MulAction.exists_smul_eq G v (g • v)).choose_spec + calc g'⁻¹ • (g • v) = g'⁻¹ • (g' • v) := by rw [hspec] + _ = v := inv_smul_smul g' v + +@[simp] +theorem sabidussiEquiv_smul (g : G) : + sabidussiEquiv v (g • v) = (g : G ⧸ MulAction.stabilizer G v) := by + simp only [sabidussiEquiv] + apply QuotientGroup.eq.mpr + rw [MulAction.mem_stabilizer_iff, mul_smul] + set g' := (MulAction.exists_smul_eq G v (g • v)).choose + have hspec : g' • v = g • v := (MulAction.exists_smul_eq G v (g • v)).choose_spec + calc g'⁻¹ • (g • v) = g'⁻¹ • (g' • v) := by rw [hspec] + _ = v := inv_smul_smul g' v + +@[simp] +theorem sabidussiEquiv_symm_mk (g : G) : + (sabidussiEquiv v).symm (QuotientGroup.mk g) = g • v := by + rfl + +/-- **Sabidussi's Representation Theorem**: A graph with a transitive group action +preserving adjacency is isomorphic to a coset graph. + +The orbit-stabilizer equivalence `V ≃ G ⧸ stabilizer G v` is a graph isomorphism +from `Γ` to `cosetGraph (stabilizer G v) (connectionSet G Γ v)`. -/ +noncomputable def sabidussiIso : + Γ ≃g SimpleGraph.cosetGraph (MulAction.stabilizer G v) + (connectionSet G Γ v) (connectionSet.isConnectionSet v) where + toEquiv := sabidussiEquiv v + map_rel_iff' := by + intro u w + set g₁ := (MulAction.exists_smul_eq G v u).choose + set g₂ := (MulAction.exists_smul_eq G v w).choose + have hu : g₁ • v = u := (MulAction.exists_smul_eq G v u).choose_spec + have hw : g₂ • v = w := (MulAction.exists_smul_eq G v w).choose_spec + change g₁⁻¹ * g₂ ∈ connectionSet G Γ v ↔ Γ.Adj u w + rw [← hu, ← hw] + simp only [connectionSet, Set.mem_setOf_eq, mul_smul] + constructor + · intro h + have := (@GraphAction.adj_smul_iff G V _ _ Γ _ g₁⁻¹ (g₁ • v) (g₂ • v)).mp + (by rwa [inv_smul_smul]) + exact this + · intro h + have := (@GraphAction.adj_smul_iff G V _ _ Γ _ g₁⁻¹ (g₁ • v) (g₂ • v)).mpr h + rwa [inv_smul_smul] at this + +end SabidussiRepresentation diff --git a/Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean b/Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean new file mode 100644 index 00000000000000..b644af80347359 --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/SabidussiWitness.lean @@ -0,0 +1,97 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.Representation + +/-! +# Sabidussi witness helpers + +Standalone functions for proving concrete graphs are Sabidussi coset graphs. +Given `k` generators on `Fin n`, apply words (lists of generator/inverse indices), +prove closure membership, and prove the closure preserves adjacency. + +## Main definitions + +* `genOrInv'` — map word index to generator or inverse +* `applyWord'` — apply a word to get a permutation +* `applyWord'_mem` — word products lie in the generator closure +* `closureGraphAction` — closure elements preserve adjacency (pigeonhole for inverses) +-/ + +set_option linter.style.nativeDecide false + +@[expose] public section + +variable {n k : ℕ} + +/-- Given `k` generators, map index `i : Fin (2k)` to a generator or inverse. +Indices `0, ..., k-1` are generators; `k, ..., 2k-1` are their inverses. -/ +def genOrInv' (gens : Fin k → Equiv.Perm (Fin n)) (i : Fin (2 * k)) : + Equiv.Perm (Fin n) := + if h : i.val < k then gens ⟨i.val, h⟩ + else (gens ⟨i.val - k, by omega⟩).symm + +/-- Apply a word (list of generator/inverse indices) to obtain a permutation. -/ +def applyWord' (gens : Fin k → Equiv.Perm (Fin n)) : + List (Fin (2 * k)) → Equiv.Perm (Fin n) + | [] => Equiv.refl _ + | i :: rest => (genOrInv' gens i).trans (applyWord' gens rest) + +/-- Each generator is in the closure of the generator set. -/ +private theorem gen_mem_closure' (gens : Fin k → Equiv.Perm (Fin n)) (i : Fin k) : + gens i ∈ Subgroup.closure (Set.range gens) := + Subgroup.subset_closure (Set.mem_range.mpr ⟨i, rfl⟩) + +/-- Each generator-or-inverse is in the closure of the generator set. -/ +private theorem genOrInv'_mem_closure (gens : Fin k → Equiv.Perm (Fin n)) + (i : Fin (2 * k)) : + genOrInv' gens i ∈ Subgroup.closure (Set.range gens) := by + unfold genOrInv' + split + · exact gen_mem_closure' gens ⟨_, ‹_›⟩ + · exact Subgroup.inv_mem _ (gen_mem_closure' gens ⟨_, by omega⟩) + +/-- Any word product lies in the closure of the generators. -/ +theorem applyWord'_mem (gens : Fin k → Equiv.Perm (Fin n)) + (w : List (Fin (2 * k))) : + applyWord' gens w ∈ Subgroup.closure (Set.range gens) := by + induction w with + | nil => exact Subgroup.one_mem _ + | cons i rest ih => + change (genOrInv' gens i).trans (applyWord' gens rest) ∈ _ + exact Subgroup.mul_mem _ ih (genOrInv'_mem_closure gens i) + +/-- If every generator preserves adjacency in `Γ`, then every element of the +closure preserves adjacency. The inverse case uses pigeonhole on directed edges. -/ +theorem closureGraphAction {Γ : SimpleGraph (Fin n)} + (gens : Fin k → Equiv.Perm (Fin n)) + (hgens : ∀ i : Fin k, ∀ u v : Fin n, Γ.Adj u v → Γ.Adj (gens i u) (gens i v)) + (σ : Equiv.Perm (Fin n)) (hσ : σ ∈ Subgroup.closure (Set.range gens)) : + ∀ u v : Fin n, Γ.Adj u v → Γ.Adj (σ u) (σ v) := by + induction hσ using Subgroup.closure_induction with + | mem x hx => + obtain ⟨i, rfl⟩ := Set.mem_range.mp hx + exact hgens i + | one => simp + | mul x y _ _ ihx ihy => + intro u v hadj + simp only [Equiv.Perm.mul_apply] + exact ihx _ _ (ihy u v hadj) + | inv x _ ih => + intro u v hadj + let f : { p : Fin n × Fin n // Γ.Adj p.1 p.2 } → + { p : Fin n × Fin n // Γ.Adj p.1 p.2 } := + fun ⟨⟨a, b⟩, hab⟩ => ⟨⟨x a, x b⟩, ih a b hab⟩ + have hf_surj : Function.Surjective f := Finite.surjective_of_injective (by + intro ⟨⟨a₁, b₁⟩, _⟩ ⟨⟨a₂, b₂⟩, _⟩ heq + simp only [f, Subtype.mk.injEq, Prod.mk.injEq] at heq + exact Subtype.ext (Prod.ext (x.injective heq.1) (x.injective heq.2))) + obtain ⟨⟨⟨a, b⟩, hab⟩, heq⟩ := hf_surj ⟨⟨u, v⟩, hadj⟩ + simp only [f, Subtype.mk.injEq, Prod.mk.injEq] at heq + rw [show a = x⁻¹ u from by rw [← heq.1]; simp, + show b = x⁻¹ v from by rw [← heq.2]; simp] at hab + exact hab diff --git a/Mathlib/Combinatorics/SimpleGraph/Symmetric.lean b/Mathlib/Combinatorics/SimpleGraph/Symmetric.lean new file mode 100644 index 00000000000000..396baa0b54a598 --- /dev/null +++ b/Mathlib/Combinatorics/SimpleGraph/Symmetric.lean @@ -0,0 +1,196 @@ +/- +Copyright (c) 2026 Robin Langer. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Robin Langer +-/ +module + +public import Mathlib.Combinatorics.SimpleGraph.Representation +public import Mathlib.GroupTheory.DoubleCoset +public import Mathlib.Tactic.Group + +/-! +# Symmetric graphs and Lorimer's theorem + +A *symmetric* (arc-transitive) graph is a coset graph `Sab(G, H, HaH)` where `a` is an +involution not in `H`. This file proves both directions of Lorimer's theorem: +the forward direction shows `Sab(G, H, HaH)` is arc-transitive when `a² = 1` and `a ∉ H`, +and the reverse direction shows every arc-transitive graph's connection set is a single +double coset `HaH` where `a` swaps an arc. + +## Main definitions + +* `doubleCoset_isConnectionSet` — `HaH` is a valid connection set when `a² = 1, a ∉ H` +* `sabidussiSymmetricGraph` — the coset graph `Sab(G, H, HaH)` + +## Main results + +* `lorimer_forward` — `Sab(G, H, HaH)` is arc-transitive when `a² = 1, a ∉ H` +* `connectionSet_eq_doubleCoset` — under arc-transitivity, the connection set is a single + double coset +* `lorimer_reverse` — every arc-transitive graph has an arc-swapping involution `a` with + `a ∉ Gᵥ`, `a² ∈ Gᵥ`, and `D = GᵥaGᵥ` + +## References + +* Robin Langer, *Symmetric Graphs and their Quotients*, arXiv:1306.4798, Chapter 2 §§3–4. +* Lorimer, *Vertex-transitive graphs*, 1984. +-/ + +@[expose] public section + +variable {G : Type*} [Group G] + +private theorem inv_eq_self_of_sq_eq_one {a : G} (ha : a ^ 2 = 1) : a⁻¹ = a := + inv_eq_of_mul_eq_one_left (by rwa [← sq]) + +open DoubleCoset in +/-- `HaH` is a valid connection set when `a² = 1` and `a ∉ H`. -/ +theorem doubleCoset_isConnectionSet (H : Subgroup G) (a : G) + (ha_sq : a ^ 2 = 1) (ha_not : a ∉ H) : + IsConnectionSet H (doubleCoset a (H : Set G) H) where + double_coset_stable := by + intro d hd k₁ hk₁ k₂ hk₂ + obtain ⟨h₁, hh₁, h₂, hh₂, rfl⟩ := mem_doubleCoset.mp hd + exact mem_doubleCoset.mpr + ⟨k₁ * h₁, H.mul_mem hk₁ hh₁, h₂ * k₂, H.mul_mem hh₂ hk₂, by group⟩ + inv_mem := by + intro d hd + obtain ⟨h₁, hh₁, h₂, hh₂, rfl⟩ := mem_doubleCoset.mp hd + have ha_inv := inv_eq_self_of_sq_eq_one ha_sq + refine mem_doubleCoset.mpr ⟨h₂⁻¹, H.inv_mem hh₂, h₁⁻¹, H.inv_mem hh₁, ?_⟩ + calc (h₁ * a * h₂)⁻¹ = h₂⁻¹ * a⁻¹ * h₁⁻¹ := by group + _ = h₂⁻¹ * a * h₁⁻¹ := by rw [ha_inv] + disjoint := by + rw [Set.disjoint_left] + intro g hg hgH + obtain ⟨h₁, hh₁, h₂, hh₂, rfl⟩ := mem_doubleCoset.mp hg + have : a = h₁⁻¹ * (h₁ * a * h₂) * h₂⁻¹ := by group + rw [this] at ha_not + exact ha_not (H.mul_mem (H.mul_mem (H.inv_mem hh₁) hgH) (H.inv_mem hh₂)) + +section Lorimer + +variable (H : Subgroup G) (a : G) (ha_sq : a ^ 2 = 1) (ha_not : a ∉ H) + +/-- The coset graph `Sab(G, H, HaH)` for an involution `a ∉ H`. -/ +noncomputable abbrev sabidussiSymmetricGraph := + SimpleGraph.cosetGraph H (DoubleCoset.doubleCoset a (H : Set G) H) + (doubleCoset_isConnectionSet H a ha_sq ha_not) + +/-- Local transitivity at the identity coset. -/ +private theorem locallyTransitive_at_one : + IsLocallyTransitive G (G ⧸ H) (sabidussiSymmetricGraph H a ha_sq ha_not) + ((1 : G) : G ⧸ H) := by + intro w₁ w₂ hw₁ hw₂ + revert hw₁ hw₂ + refine Quotient.inductionOn₂ w₁ w₂ fun y₁ y₂ hy₁ hy₂ => ?_ + change (1 : G)⁻¹ * y₁ ∈ _ at hy₁; change (1 : G)⁻¹ * y₂ ∈ _ at hy₂ + simp only [inv_one, one_mul] at hy₁ hy₂ + obtain ⟨h₁, hh₁, k₁, hk₁, rfl⟩ := DoubleCoset.mem_doubleCoset.mp hy₁ + obtain ⟨h₂, hh₂, k₂, hk₂, rfl⟩ := DoubleCoset.mem_doubleCoset.mp hy₂ + refine ⟨h₂ * h₁⁻¹, ?_, ?_⟩ + · change (h₂ * h₁⁻¹) • ((1 : G) : G ⧸ H) = (1 : G) + rw [MulAction.Quotient.smul_coe, smul_eq_mul, mul_one] + apply QuotientGroup.eq.mpr + show (h₂ * h₁⁻¹)⁻¹ * 1 ∈ H + simp only [mul_one, mul_inv_rev, inv_inv] + exact H.mul_mem hh₁ (H.inv_mem hh₂) + · change (h₂ * h₁⁻¹) • ((h₁ * a * k₁ : G) : G ⧸ H) = (h₂ * a * k₂ : G) + rw [MulAction.Quotient.smul_coe, smul_eq_mul, QuotientGroup.eq] + have ha_inv := inv_eq_self_of_sq_eq_one ha_sq + suffices h : (h₂ * h₁⁻¹ * (h₁ * a * k₁))⁻¹ * (h₂ * a * k₂) = k₁⁻¹ * k₂ by + rw [h]; exact H.mul_mem (H.inv_mem hk₁) hk₂ + calc (h₂ * h₁⁻¹ * (h₁ * a * k₁))⁻¹ * (h₂ * a * k₂) + = (h₂ * a * k₁)⁻¹ * (h₂ * a * k₂) := by congr 1; group + _ = k₁⁻¹ * a⁻¹ * (h₂⁻¹ * (h₂ * a * k₂)) := by group + _ = k₁⁻¹ * a⁻¹ * (a * k₂) := by rw [show h₂⁻¹ * (h₂ * a * k₂) = a * k₂ from by group] + _ = k₁⁻¹ * (a⁻¹ * a) * k₂ := by group + _ = k₁⁻¹ * k₂ := by rw [ha_inv]; simp [← sq, ha_sq] + +/-- Local transitivity at any vertex, transported from `⟦1⟧`. -/ +private theorem locallyTransitive_everywhere : + ∀ q : G ⧸ H, + IsLocallyTransitive G (G ⧸ H) (sabidussiSymmetricGraph H a ha_sq ha_not) q := by + intro q w₁ w₂ hw₁ hw₂ + set Γ := sabidussiSymmetricGraph H a ha_sq ha_not + obtain ⟨g, hg⟩ := MulAction.exists_smul_eq G ((1 : G) : G ⧸ H) q + have hw₁' : Γ.Adj ((1 : G) : G ⧸ H) (g⁻¹ • w₁) := by + have := (@GraphAction.adj_smul_iff G _ _ _ Γ _ g⁻¹ q w₁).mpr hw₁ + rwa [← hg, inv_smul_smul] at this + have hw₂' : Γ.Adj ((1 : G) : G ⧸ H) (g⁻¹ • w₂) := by + have := (@GraphAction.adj_smul_iff G _ _ _ Γ _ g⁻¹ q w₂).mpr hw₂ + rwa [← hg, inv_smul_smul] at this + obtain ⟨h, hfix, hsend⟩ := + locallyTransitive_at_one H a ha_sq ha_not (g⁻¹ • w₁) (g⁻¹ • w₂) hw₁' hw₂' + refine ⟨g * h * g⁻¹, ?_, ?_⟩ + · calc (g * h * g⁻¹) • q = g • (h • (g⁻¹ • q)) := by simp [mul_smul] + _ = g • (h • ((1 : G) : G ⧸ H)) := by rw [← hg, inv_smul_smul] + _ = g • ((1 : G) : G ⧸ H) := by rw [hfix] + _ = q := hg + · calc (g * h * g⁻¹) • w₁ = g • (h • (g⁻¹ • w₁)) := by simp [mul_smul] + _ = g • (g⁻¹ • w₂) := by rw [hsend] + _ = w₂ := smul_inv_smul g w₂ + +/-- **Lorimer's Theorem (forward direction)**: `Sab(G, H, HaH)` is arc-transitive +when `a² = 1` and `a ∉ H`. -/ +theorem lorimer_forward : + IsArcTransitive G (G ⧸ H) (sabidussiSymmetricGraph H a ha_sq ha_not) := + isArcTransitive_of_vertexTransitive_locallyTransitive _ + (locallyTransitive_everywhere H a ha_sq ha_not) + +end Lorimer + +/-! ### Lorimer's theorem (reverse direction) -/ + +/-- Under arc-transitivity, the stabilizer acts transitively on neighbors. -/ +theorem stabilizer_transitive_on_neighbors {V : Type*} [MulAction G V] + (Γ : SimpleGraph V) [IsArcTransitive G V Γ] + (v : V) {w u : V} (hw : Γ.Adj v w) (hu : Γ.Adj v u) : + ∃ h ∈ MulAction.stabilizer G v, h • w = u := by + obtain ⟨g, hgv, hgw⟩ := @IsArcTransitive.arc_transitive G V _ _ Γ _ v w v u hw hu + exact ⟨g, MulAction.mem_stabilizer_iff.mpr hgv, hgw⟩ + +/-- Under arc-transitivity, the connection set is a single double coset `HaH`. -/ +theorem connectionSet_eq_doubleCoset {V : Type*} [MulAction G V] + (Γ : SimpleGraph V) [IsArcTransitive G V Γ] + (v : V) {a : G} (ha : a ∈ connectionSet G Γ v) : + connectionSet G Γ v = + DoubleCoset.doubleCoset a (MulAction.stabilizer G v : Set G) + (MulAction.stabilizer G v) := by + ext g + constructor + · intro hg + obtain ⟨h, hh, hhw⟩ := @stabilizer_transitive_on_neighbors G _ V _ Γ _ v _ _ ha hg + rw [DoubleCoset.mem_doubleCoset] + exact ⟨h, hh, (g⁻¹ * (h * a))⁻¹, + (MulAction.stabilizer G v).inv_mem (by + rw [MulAction.mem_stabilizer_iff, mul_smul, mul_smul, hhw, inv_smul_smul]), + by group⟩ + · intro hg + obtain ⟨h₁, hh₁, h₂, hh₂, rfl⟩ := DoubleCoset.mem_doubleCoset.mp hg + exact connectionSet.double_coset_stable v ha hh₁ hh₂ + +/-- **Lorimer's Theorem (reverse direction)**: Every arc-transitive graph's connection +set is a single `(H,H)`-double coset, determined by the arc-swapping element. + +Combined with `sabidussiIso`, this shows every arc-transitive graph +is `Sab(G, stabilizer G v, HaH)` where `a` swaps an arc `(v,w)`. -/ +theorem lorimer_reverse {V : Type*} [MulAction G V] + (Γ : SimpleGraph V) [IsArcTransitive G V Γ] + (v w : V) (hvw : Γ.Adj v w) : + ∃ a : G, a • v = w ∧ a • w = v ∧ a ∉ MulAction.stabilizer G v ∧ + a ^ 2 ∈ MulAction.stabilizer G v ∧ + connectionSet G Γ v = + DoubleCoset.doubleCoset a (MulAction.stabilizer G v : Set G) + (MulAction.stabilizer G v) := by + obtain ⟨a, hav, haw⟩ := + @IsArcTransitive.arc_transitive G V _ _ Γ _ v w w v hvw (Γ.symm hvw) + refine ⟨a, hav, haw, ?_, ?_, ?_⟩ + · intro hmem + rw [MulAction.mem_stabilizer_iff] at hmem + rw [hmem] at hav + exact Γ.loopless.irrefl v (hav ▸ hvw) + · rw [MulAction.mem_stabilizer_iff, sq, mul_smul, hav, haw] + · exact connectionSet_eq_doubleCoset Γ v (by + simp only [connectionSet, Set.mem_setOf_eq, hav]; exact hvw)