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1040 bytes, as of the version from 2026-11-02 14:37 (current). Recorded here, not run.
{
"table": "T679",
"checked_companion_entry": [
"2.2.4",
"1/2",
"3"
],
"sage_version": "10.9",
"skill_manifest": "agents/runs/20261102T143152Z-repair-skills/manifest.json",
"skill_sha256": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278",
"local_factor": "729*T^4 + 54*T^3 - 18*T^2 + 2*T + 1",
"eigenvalue_polynomial": "T^4 + 2*T^3 - 18*T^2 + 54*T + 729",
"control_root_valuations": [
"0",
"1",
"2",
"3"
],
"coefficient_valuations": [
[
0,
0
],
[
1,
0
],
[
2,
2
],
[
3,
3
],
[
4,
6
]
],
"lower_hull": [
[
0,
0
],
[
1,
0
],
[
3,
3
],
[
4,
6
]
],
"eigenvalue_valuations": [
"0",
"3/2",
"3/2",
"3"
],
"unit_residue_checked_modulo": "3^210",
"simple_unit_root": true,
"conclusion": "A unique unit eigenvalue exists, but the full Newton polygon is not ordinary."
}