Bundle for the "Three-loop banana at the mass threshold" page of bootloops.ai: everything the page does not link individually — expression file, data, helper modules, checksums. The stand-alone evaluator threshold-banana-evaluate.py is included so the unzipped folder runs as is.

CONTENTS.txt — this list
README.md — what the bundle is, file list, how to run
LICENSE — the license: MIT for code, CC BY 4.0 for data and text
NOTICE — license notice
MANIFEST.sha256 — sha256 of every file (sha256sum -c MANIFEST.sha256)
threshold-banana-evaluate.py — the evaluator: closed form, self-checks, --derive, --point, --family
threshold-banana-expression.md — the result written out: closed form, integer relations, 195-digit value
threshold_hankel_tail.py — c_alpha derived analytically from the Bessel-kernel tail
direct_linear_extract.py — the same coefficients by one direct linear solve in ball arithmetic
calpha_rings.py — family / mass-tuple / ring table the Hankel-tail module reads
frobenius_coefficients_rows31_32_20260909T042148Z.json — Table 2 rows 31 and 32 Frobenius coefficients (data)
fixtures/README.md — what the two fixture files are
fixtures/hankel_tail_fixtures.json — record objects read by threshold_hankel_tail.py
fixtures/direct_linear_fixtures.json — record objects read by direct_linear_extract.py
vendor_row31_family/README.md — the data and engines of --family, described
vendor_row31_family/FAMILY_MANIFEST.sha256 — sha256 of every file in vendor_row31_family
vendor_row31_family/family/FAMILY_DEF_BAN1119.json — the nine-propagator family definition, masses squared (1,1,1,9)
vendor_row31_family/family/FAMILY_DEF_BAN1119_sym.json — the twin family definition with symbolic masses
vendor_row31_family/family/FAMILY_DIFF.json — the transcription record: template to BAN1119 diff
vendor_row31_family/family/SYMMETRY.json — the family's symmetry group, |Aut| = 6
vendor_row31_family/operator/LEGI_OPERATOR_IDENTITY.json — the operator identity of record, IBP operator vs Picard-Fuchs
vendor_row31_family/operator/PF_119_EXACT.json — the record's Picard-Fuchs operator in theta form
vendor_row31_family/c32/c32_record.json — the record's c_{3/2}: the 195-digit string
vendor_row31_family/c32/LEGII_S1.json — monodromy projection on the IBP operator, dps 50
vendor_row31_family/c32/LEGII_S2.json — monodromy projection on the IBP operator, dps 80
vendor_row31_family/c32/LEGII_S3pos.json — the same move on the record's operator (positive control)
vendor_row31_family/c32/LEGII_S3pl.json — the record's operator with one coefficient shifted (planted control)
vendor_row31_family/c32/LEGII_S4_COMPARE.json — the comparison of record against the 195-digit string
vendor_row31_family/oracle/LEGIII_pA_g60.json — AMFlow out file, physical master at pA, goal 60
vendor_row31_family/oracle/LEGIII_pA_g80.json — AMFlow out file, physical master at pA, goal 80
vendor_row31_family/oracle/LEGIII_pB_g60.json — AMFlow out file, physical master at pB, goal 60
vendor_row31_family/oracle/LEGIII_pB_g80.json — AMFlow out file, physical master at pB, goal 80
vendor_row31_family/oracle/LEGIII_TWO_GOAL.json — the AMFlow oracle figures by object, two-goal agreement
vendor_row31_family/threshold/LEG_IIIab_RECEIPT_20260907T030516Z.json — the III-a/III-b result of record
vendor_row31_family/threshold/LEGIIIab_g60_dps40_20260907T020954Z.json — III-a/III-b run object, goal 60
vendor_row31_family/threshold/LEGIIIab_g80_dps50_20260907T020958Z.json — III-a/III-b run object, goal 80
vendor_row31_family/engine/family_c32.py — the monodromy-projection engine that recomputes c_{3/2}
vendor_row31_family/engine/transport_engine.py — the record's transport engine
vendor_row31_family/engine/operator_identity.py — the exact operator-identity units

Evaluator commands as the page prints them:
    python3 threshold-banana-evaluate.py --full
    python3 threshold-banana-evaluate.py --derive
    python3 threshold_hankel_tail.py --check --family K3 --dps 60
