From 33cc0f2fe8f41163019ec34d44e09a6450cb999c Mon Sep 17 00:00:00 2001
From: queue-miscreant <cubebert549@gmail.com>
Date: Sat, 19 Jul 2025 18:29:06 -0500
Subject: [PATCH] add missing root to exponential graph

---
 posts/permutations/2/graph_data/base.py     | 7 +++++--
 posts/permutations/2/graph_data/complete.py | 2 +-
 2 files changed, 6 insertions(+), 3 deletions(-)

diff --git a/posts/permutations/2/graph_data/base.py b/posts/permutations/2/graph_data/base.py
index c09168e..d08e1d1 100644
--- a/posts/permutations/2/graph_data/base.py
+++ b/posts/permutations/2/graph_data/base.py
@@ -12,9 +12,12 @@ def display_integral_root(
         + ("\\pm" if root != 0 else "")
         + str(root)
         + ")^{"
-        + str(multiplicity)
         # pad multiplicity
-        + ("\\phantom{" + ("0" * pad_to) + "}" if pad_to is not None else "")
+        + (("\\phantom{" + ("0" * (pad_to - len(str(multiplicity))) + "}"))
+            if pad_to is not None and len(str(multiplicity)) < pad_to
+            else ""
+        )
+        + str(multiplicity)
         + "}"
     )
 
diff --git a/posts/permutations/2/graph_data/complete.py b/posts/permutations/2/graph_data/complete.py
index fc5439b..3726897 100644
--- a/posts/permutations/2/graph_data/complete.py
+++ b/posts/permutations/2/graph_data/complete.py
@@ -58,7 +58,6 @@ data = {
             ]
         ),
     ),
-    # TODO: missing a root (and its negative) of multiplicity 400
     8: GraphData(
         vertex_count=40320,
         spectrum=SymmetricSpectrum(
@@ -70,6 +69,7 @@ data = {
                 (8, 196),
                 (10, 784),
                 (12, 441),
+                (14, 400),
                 (20, 49),
                 (28, 1),
             ]