|Bill Allombert on Tue, 31 Mar 2015 20:51:50 +0200|
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|bnfinit new record again: degree 113|
Dear PARI developers, (Sorry if this get repetitive... I did not expect to go this far so quickly.) I managed to compute the bnfinit of a degree-113 polynomial, namely polsubcyclo(227,113) which defines the field Q(zeta_227)^+ which is named cm/227 in my collezione. The discriminant of the number field is 7.4971466424704670590406253784283984095 E263 This is both the highest degree and largest discriminant bnfinit succeeded on. The class number is 1 and the regulator is 1.516491354696350386878435077 e97 The successful run took 67 hours and 39 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 0.09891). Cheers, Bill.