chore: change econf embed to spin representation (#4166)

<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->
## Summary by CodeRabbit

- **New Features**
- Introduced a function to transform electronic configuration data into
a spin representation, enhancing how electronic states are represented.
- Updated the electronic configuration embedding to include negative
values, reflecting a new encoding scheme.
- Added a normalization function for electronic configuration vectors to
improve data consistency.

- **Tests**
- Added a new test for the spin representation functionality to ensure
accuracy of the transformation for iron (Fe).
	- Updated existing tests to align with the new expected output format.
<!-- end of auto-generated comment: release notes by coderabbit.ai -->

---------

Co-authored-by: Han Wang <wang_han@iapcm.ac.cn>
Co-authored-by: Duo <50307526+iProzd@users.noreply.github.com>

Author: 3 people

deepmd/dpmodel/utils/type_embed.py

@@ -222,7 +222,9 @@ def change_type_map(
 def get_econf_tebd(type_map, precision: str = "default"):
     from deepmd.utils.econf_embd import (
         ECONF_DIM,
-        electronic_configuration_embedding,
+    )
+    from deepmd.utils.econf_embd import (
+        normalized_electronic_configuration_embedding as electronic_configuration_embedding,
     )
     from deepmd.utils.econf_embd import type_map as periodic_table
 
@@ -240,6 +242,5 @@ def get_econf_tebd(type_map, precision: str = "default"):
         [electronic_configuration_embedding[kk] for kk in type_map],
         dtype=PRECISION_DICT[precision],
     )
-    econf_tebd /= econf_tebd.sum(-1, keepdims=True)  # do normalization
     embed_input_dim = ECONF_DIM
     return econf_tebd, embed_input_dim