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