diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json
index 9fa2e44d..95db23c8 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "public": "8fa00001b5b22a073d21cb60c9465b379f80e74fee9baf1d137eb651ed162900a6f3ec32da74ff09265ea62fc9a5055b2e9b7c7b",
+  "secret": "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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json
index 32f6073d..0d44aba2 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "secret": 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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json
index ff144055..5e30378f 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "secret": 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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json
index 438e5843..1ec59314 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "secret": 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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json
index 1f4eecda..3df2dd4c 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "secret": 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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/3.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/3.json
index 133f4d89..096fa4db 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/3.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/3.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "secret": 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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json
index efb90ad7..27e1061b 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "secret": 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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json
index 11f6188e..123961d9 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "secret": 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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json
index 48f216e1..00e2012b 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "secret": 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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json
index 5847b4e4..6630df54 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "secret": 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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json
index fb350614..e7edf2bb 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json
@@ -1,4 +1,4 @@
 {
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-  "secret": 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+  "secret": 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 }
\ No newline at end of file
diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json
index 68455d4f..1a9679c5 100644
--- a/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json
+++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json
@@ -1,4 +1,4 @@
 {
-  "public": "57f1cc053f6981283455d50b57d41c0aa4576b44f336cf329cbfc33d3150dc320ff06814c0daa609d756233cb7c4f432a7146829",
-  "secret": "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"
+  "public": "f977bd34c9b71d7d009bac5e61ba457349c1f83f1baeaf4884d35029792617306a92a2763ccacf223aa3d90c7d11321dd0634348",
+  "secret": "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"
 }
\ No newline at end of file
diff --git a/src/lean_spec/subspecs/poseidon2/constants.py b/src/lean_spec/subspecs/poseidon2/constants.py
index 462bfed0..8e199d10 100644
--- a/src/lean_spec/subspecs/poseidon2/constants.py
+++ b/src/lean_spec/subspecs/poseidon2/constants.py
@@ -4,7 +4,9 @@
 
 from ..koalabear.field import Fp
 
+# For width 16: 64 external_initial + 20 internal + 64 external_final = 148 constants
 _RAW_CONSTANTS_16: List[int] = [
+    # External initial (4 rounds × 16 = 64 constants)
     2128964168,
     288780357,
     316938561,
@@ -69,6 +71,28 @@
     64412292,
     1936878279,
     1980661727,
+    # Internal (20 constants)
+    2102596038,
+    1533193853,
+    1436311464,
+    2012303432,
+    839997195,
+    1225781098,
+    2011967775,
+    575084315,
+    1309329169,
+    786393545,
+    995788880,
+    1702925345,
+    1444525226,
+    908073383,
+    1811535085,
+    1531002367,
+    1635653662,
+    1585100155,
+    867006515,
+    879151050,
+    # External final (4 rounds × 16 = 64 constants)
     1423960925,
     2101391318,
     1915532054,
@@ -133,29 +157,11 @@
     582892981,
     1337064375,
     1199354861,
-    2102596038,
-    1533193853,
-    1436311464,
-    2012303432,
-    839997195,
-    1225781098,
-    2011967775,
-    575084315,
-    1309329169,
-    786393545,
-    995788880,
-    1702925345,
-    1444525226,
-    908073383,
-    1811535085,
-    1531002367,
-    1635653662,
-    1585100155,
-    867006515,
-    879151050,
 ]
 
+# For width 24: 96 external_initial + 23 internal + 96 external_final = 215 constants
 _RAW_CONSTANTS_24: List[int] = [
+    # External initial (4 rounds × 24 = 96 constants)
     487143900,
     1829048205,
     1652578477,
@@ -252,6 +258,31 @@
     1608418116,
     1083269213,
     691256798,
+    # Internal (23 constants)
+    893435011,
+    403879071,
+    1363789863,
+    1662900517,
+    2043370,
+    2109755796,
+    931751726,
+    2091644718,
+    606977583,
+    185050397,
+    946157136,
+    1350065230,
+    1625860064,
+    122045240,
+    880989921,
+    145137438,
+    1059782436,
+    1477755661,
+    335465138,
+    1640704282,
+    1757946479,
+    1551204074,
+    681266718,
+    # External final (4 rounds × 24 = 96 constants)
     328586442,
     1572520009,
     1375479591,
@@ -348,29 +379,6 @@
     1613277964,
     793223662,
     648443918,
-    893435011,
-    403879071,
-    1363789863,
-    1662900517,
-    2043370,
-    2109755796,
-    931751726,
-    2091644718,
-    606977583,
-    185050397,
-    946157136,
-    1350065230,
-    1625860064,
-    122045240,
-    880989921,
-    145137438,
-    1059782436,
-    1477755661,
-    335465138,
-    1640704282,
-    1757946479,
-    1551204074,
-    681266718,
 ]
 
 # For width 16 (needs 8*16 + 20 = 148 constants).
diff --git a/tests/lean_spec/subspecs/poseidon2/test_permutation.py b/tests/lean_spec/subspecs/poseidon2/test_permutation.py
index 299302be..827a43e2 100644
--- a/tests/lean_spec/subspecs/poseidon2/test_permutation.py
+++ b/tests/lean_spec/subspecs/poseidon2/test_permutation.py
@@ -37,22 +37,22 @@
 ]
 # Expected output for width 16.
 EXPECTED_16 = [
-    Fp(value=1934285469),
-    Fp(value=604889435),
-    Fp(value=133449501),
-    Fp(value=1026180808),
-    Fp(value=1830659359),
-    Fp(value=176667110),
-    Fp(value=1391183747),
-    Fp(value=351743874),
-    Fp(value=1238264085),
-    Fp(value=1292768839),
-    Fp(value=2023573270),
-    Fp(value=1201586780),
-    Fp(value=1360691759),
-    Fp(value=1230682461),
-    Fp(value=748270449),
-    Fp(value=651545025),
+    Fp(value=190453639),
+    Fp(value=458899855),
+    Fp(value=383789123),
+    Fp(value=1958965770),
+    Fp(value=1470307143),
+    Fp(value=135446903),
+    Fp(value=1980271247),
+    Fp(value=26609194),
+    Fp(value=337889870),
+    Fp(value=543343594),
+    Fp(value=900082402),
+    Fp(value=1267415354),
+    Fp(value=1018710090),
+    Fp(value=902823573),
+    Fp(value=1161524658),
+    Fp(value=1483653556),
 ]
 
 # Input vector for width 24
@@ -84,30 +84,30 @@
 ]
 # Expected output for width 24.
 EXPECTED_24 = [
-    Fp(value=382801106),
-    Fp(value=82839311),
-    Fp(value=1503190615),
-    Fp(value=1987418517),
-    Fp(value=854076995),
-    Fp(value=1862291425),
-    Fp(value=262755189),
-    Fp(value=1050814217),
-    Fp(value=722724562),
-    Fp(value=741265943),
-    Fp(value=1026879332),
-    Fp(value=754316749),
-    Fp(value=1966025564),
-    Fp(value=1518878196),
-    Fp(value=502200188),
-    Fp(value=1368172258),
-    Fp(value=845459257),
-    Fp(value=1711434837),
-    Fp(value=724453836),
-    Fp(value=171032289),
-    Fp(value=655223446),
-    Fp(value=1098636135),
-    Fp(value=407832555),
-    Fp(value=1707498914),
+    Fp(value=556605495),
+    Fp(value=885256863),
+    Fp(value=899046610),
+    Fp(value=1365261647),
+    Fp(value=799824470),
+    Fp(value=1363091631),
+    Fp(value=588658632),
+    Fp(value=173515151),
+    Fp(value=783308499),
+    Fp(value=1346358755),
+    Fp(value=1865380489),
+    Fp(value=1166148328),
+    Fp(value=1402826941),
+    Fp(value=434428806),
+    Fp(value=928050984),
+    Fp(value=1402941053),
+    Fp(value=201160368),
+    Fp(value=1850628943),
+    Fp(value=651578331),
+    Fp(value=12196116),
+    Fp(value=759351756),
+    Fp(value=948448587),
+    Fp(value=1529251366),
+    Fp(value=456048743),
 ]