|Bill Allombert on Sun, 29 Mar 2015 00:06:00 +0100|
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|bnfinit new record again: degree 111|
Dear PARI developers, I managed to compute the bnfinit of a degree-111 polynomial, namely polsubcyclo(223,111) which defines the field Q(zeta_223)^+ which is named cm/223 in my collezione. The discriminant of the number field is 2.0584244666251366627389025357824101592E258 This is both the highest degree and largest discriminant bnfinit succeeded on. The class number is 1 and the regulator is 8.873524200610116270919653931 e94 The successful run took 82 hours and 31 minutes. The final stack size was 64G I did not need to tweak bnfinit. However, the so-called Bach constant doubled twice before reaching the result (the initial value was 0.116). Cheers, Bill.