|Bill Allombert on Mon, 16 Dec 2013 19:28:11 +0100|
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|bnfinit milestone: degree 100 reached!|
Dear PARI developers, I finally managed to compute the bnfinit of a degree-100 polynomial: polresultant(('a*x)^25-('a*x)-1,polcyclo(5,'a),'a) a.k.a. x^100+x^76-4*x^75+x^52-3*x^51+6*x^50+x^28-2*x^27+3*x^26-4*x^25+x^4-x^3+x^2-x+1 which is named a4/25 in my collezione. The class number is 1 and the regulator is 2.421833172133607307460472752 e56 The successful run took 5 days and 18 hours. I had to double LIMC (Bach constant: 0.3011379739144176005) I used an patch that automatically increase BMULT, maxtry_DEP and maxtry_FACT when we have exhausted the list of ideals. The starting values were 8/20/1000 and the final value were 12/60/1500. This is dedicated to Loïc Grenié, of course. Enjoy! Cheers, Bill.