Bill Allombert on Sun, 29 Mar 2015 00:06:00 +0100

[Date Prev] [Date Next] [Thread Prev] [Thread Next] [Date Index] [Thread Index]

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 

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).