|Bill Allombert on Sun, 12 Oct 2014 12:05:27 +0200|
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|bnfinit new record: degree 104|
Dear PARI developers, I managed to compute the bnfinit of a degree-104 polynomial, namely: polresultant(('a*x)^13-('a*x)-1,polcyclo(15,'a),'a) a.k.a. x^104+2*x^92-x^91+3*x^80+2*x^79+4*x^68+4*x^67-5*x^66+x^65+5*x^56+5*x^55+5*x^54+5*x^53-x^52+4*x^44+5*x^43+10*x^42-5*x^41-x^40+x^39+3*x^32+6*x^31+10*x^30+4*x^28-3*x^27+2*x^20+3*x^19+5*x^18-6*x^16-7*x^15-x^13+x^8+x^7-x^5-x^4-x^3+x+1 which is named a8/13 in my collezione. the discriminant is 1.1919546898501082911161231065412541882E195. This is both the highest degree and highest discriminant bnfinit succeeded on. The class number is 1 and the regulator is 7.795732253360410048143016575 e56 The successful run took 21 hours and 38 minutes. I had to triple LIMC (Bach constant: 0.24548678051433189817) Cheers, Bill.