|Bill Allombert on Sat, 30 Jan 2016 13:08:03 +0100|
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|bnfinit new record: degree 116|
Dear PARI developers, I managed to compute the bnfinit of a degree-116 polynomial, namely polsubcyclo(233,116) which defines the field Q(zeta_233)^+ which is named cm/233 in my collezione. The discriminant of the number field is 1.7616957961029062740524833887540955277 E272 This is both the highest degree and largest discriminant bnfinit succeeded on. The class number is 1 and the regulator is 3.268936901218872636379717116 e100 The successful run took 56 hours and 19 minutes. The final stack size was 64G. I set the parameters as follow: long BMULT = 2; long maxtry_ELEMENT = 1000*2000; long maxtry_DEP = 50; long maxtry_FACT = 1000; The final so-called Bach constant was 0.3570188254273218842 Cheers, Bill.