Sharedwww / Tables / an_s2g0new_901-1000_hiprec.gpOpen in CoCalc
\\ an_s2g0new_901-1000_hiprec.gp
\\ This is a PARI readable nonnormalized basis for S_2(Gamma_0(N)) for N 
\\ in the range:  901 <= N <= 1000.
\\ The number of a_n computed is always at least 500.
\\ William Stein ([email protected])

E[901,1] = [x, [1,2,-3,2,1,-6,-2,0,6,2,0,-6,1,-4,-3,-4,1,12,-4,2,6,0,-8,0,-4,2,-9,-4,-6,-6,-8,-8,0,2,-2,12,4,-8,-3,0,-3,12,7,0,6,-16,9,12,-3,-8,-3,2,1,-18,0,0,12,-12,12,-6,2,-16,-12,-8,1,0,-14,2,24,-4,-13,0,3,8,12,-8,0,-6,3,-4,9,-6,-4,12,1,14,18,0,7,12,-2,-16,24,18,-4,24,8,-6,0,-8,2,-6,8,0,6,2,-10,-18,-6,0,-12,8,16,24,-8,-12,6,24,-2,0,-11,4,9,-16,-9,-24,2,0,-21,2,-8,0,8,-28,-9,0,0,48,1,-4,-27,-26,0,-24,-6,6,9,8,14,24,14,0,6,0,-8,-6,-14,6,-3,-8,16,18,6,-6,0,-8,23,0,-12,2,-24,14,1,36,8,0,-36,14,-12,12,-11,-4,-6,0,4,48,0,18,18,-8,14,24,17,16,-3,-6,-24,0,16,0,42,4,12,-6,-3,16,-48,-4,0,12,-10,2,39,-20,7,0,16,-12,-9,0,1,-24,-9,16,-24,32,6,24,-9,-16,0,0,3,12,9,24,-9,-4,-16,12,-12,-22,0,4,-3,18,-4,0,12,-18,-12,-24,0,4,-3,16,12,-42,-8,2,-36,-16,-4,0,1,16,-21,-28,-20,-18,23,-4,6,0,0,48,-1,2,-48,0,-21,-54,8,-26,12,0,6,-48,1,-12,-24,6,-9,18,12,0,0,28,-8,24,-14,28,-6,16,2,12,-33,0,-24,-16,-14,0,-10,-28,-12,6,32,-6,0,-8,30,32,-4,18,-4,12,18,0,-18,0,-29,-8,24,46,-14,-24,-14,-24,-48,2,0,-48,20,0,24,2,-34,36,-24,16,-9,0,-6,-72,-13,14,6,-24,-12,0,-3,-22,33,-4,3,-12,16,32,-18,8,-2,48,30,0,27,0,-6,36,4,-8,-6,28,-24,0,0,34,42,16,12,-6,-8,0,24,-48,3,0,3,32,-24,16,1,84,-8,4,9,24,0,0,14,-6,0,16,-24,-96,-4,-8,-3,0,29,12,22,-20,54,0,-4,78,-4,-20,0,14,18,36,26,32,18,-12,32,-18,22,0,-18,2,4,-24,7,-18,-42,16,-14,-48,0,32,-42,12,-2,0,-36,-18,-9,-16,-17,0,14,24,24,6,21,12,28,18,42,0,0,-18,16,-4,6,-32,15,24,4,-24,-48,-22,8,0,-34,0,-18,-6,-22,18,-6,-8,0,32,26,24,-4,-18]];
E[901,2] = [x, [1,-2,-1,2,3,2,2,0,-2,-6,0,-2,-7,-4,-3,-4,1,4,0,6,-2,0,-8,0,4,14,5,4,-10,6,0,8,0,-2,6,-4,8,0,7,0,7,4,-9,0,-6,16,1,4,-3,-8,-1,-14,1,-10,0,0,0,20,-12,-6,-2,0,-4,-8,-21,0,2,2,8,-12,-15,0,1,-16,-4,0,0,-14,17,-12,1,-14,-8,-4,3,18,10,0,-9,12,-14,-16,0,-2,0,-8,0,6,0,8,-6,2,-4,0,-6,-2,-2,10,14,0,-8,-8,20,0,-24,-20,14,24,2,0,-11,4,-7,0,-3,8,2,0,9,42,0,0,0,-4,15,0,-12,-16,-5,12,-1,30,0,8,-30,-2,3,16,-10,8,-14,0,-2,0,0,14,-6,-34,-1,24,-16,-2,18,14,0,16,5,0,36,-6,0,-18,3,-20,8,0,12,18,-24,-12,23,28,2,0,24,0,0,2,10,0,-14,8,-5,0,21,-6,20,0,-8,0,-2,12,-20,-2,21,8,16,28,0,12,-2,2,15,4,-27,0,0,-28,-1,0,-7,16,7,16,-8,-40,-6,0,-9,48,0,0,17,-28,3,-24,-17,-4,0,12,-4,22,-16,-4,-9,14,0,0,8,6,-12,-8,0,-4,-3,16,-8,-18,16,-42,20,0,24,0,3,0,9,4,-20,-30,-17,-4,14,24,0,16,5,10,0,0,-5,2,-32,-30,0,0,14,-16,1,60,0,2,23,-6,-36,0,0,20,56,-8,-18,28,6,0,-6,4,7,0,4,0,18,0,26,12,-12,34,-24,2,0,-24,2,32,0,2,-28,-36,-14,0,2,0,3,-16,-16,-10,6,8,14,-72,-20,6,0,0,-20,0,24,-6,-10,20,12,-16,-35,0,22,-24,-45,-18,-2,48,-24,0,-19,-46,11,-28,3,-4,-36,32,-14,-48,2,0,10,0,3,0,70,-20,-4,0,-2,28,-16,0,0,10,18,0,12,-42,-8,0,0,-40,51,0,33,16,0,-16,3,4,0,-12,3,40,0,0,14,-42,12,-8,-24,-32,-24,-56,5,0,-25,-12,30,4,-2,0,4,-30,-4,-4,0,54,22,-20,34,0,30,28,0,2,22,0,6,14,-24,-16,-27,-14,10,-16,-2,16,0,40,14,12,-42,0,-28,18,5,-48,-25,0,-34,40,0,-34,37,28,4,-6,6,0,0,34,0,4,-2,0,-11,-24,-56,8,16,-22,0,32,22,0,-18,18,6,-14,-10,0,0,0,-30,-16,4,-6]];
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