Certify the five degree-36 class groups in the (2,3,11) proof - #9
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Th0rgal wants to merge 3 commits into
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Certify the five degree-36 class groups in the (2,3,11) proof#9Th0rgal wants to merge 3 commits into
Th0rgal wants to merge 3 commits into
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Temporary computation PR targeting the only stated GRH dependency in Freitas--Naskręcki--Stoll's classification of primitive solutions to
x^2+y^3=z^11.For each of the five degree-12 fields attached to
54a1,96a1,864a1,864b1, and864c1, the workflow forms the degree-36 compositum with the cubic 2-division fieldtheta^3-4 theta^2-160 theta-1264, verifies the degree, certifies the maximal order with PARInfcertify, computes the class group and units, and requires bothbnfcertify(B,1)=1and fullbnfcertify(B)=1.A successful artifact would remove the computational GRH assumption for that field. Failed, timed-out, or partial jobs prove nothing and retain their logs. This PR itself makes no unconditional Diophantine claim.