\\ an_s2g0new_701-750_hiprec.gp
\\ This is a PARI readable nonnormalized basis for S_2(Gamma_0(N)) for N 
\\ in the range:  701 <= N <= 750.
\\ The number of a_n computed is always at least 500.
\\ William Stein (was@math.berkeley.edu)

E[701,1] = [x, [1,2,2,2,2,4,-1,0,1,4,0,4,-3,-2,4,-4,7,2,-1,4,-2,0,8,0,-1,-6,-4,-2,-3,8,-5,-8,0,14,-2,2,-2,-2,-6,0,-5,-4,-11,0,2,16,10,-8,-6,-2,14,-6,12,-8,0,0,-2,-6,-4,8,-8,-10,-1,-8,-6,0,16,14,16,-4,-10,0,8,-4,-2,-2,0,-12,0,-8,-11,-10,12,-4,14,-22,-6,0,6,4,3,16,-10,20,-2,-16,3,-12,0,-2,-6,28,-1,0,-4,24,20,-8,4,0,-4,4,0,-4,16,-6,-3,-8,-7,0,-11,-16,-10,-10,-12,-2,-12,0,-22,-12,-3,0,1,32,-8,0,10,32,-9,-4,20,-20,0,-4,-6,16,-12,-4,12,-4,13,0,7,0,-10,-12,-22,0,24,-16,-8,-22,23,-10,0,24,-15,0,-4,28,-1,-22,21,-12,1,0,-8,12,16,4,8,6,-16,0,-4,-20,0,20,4,-4,16,-16,-6,6,-12,-12,-8,0,16,0,32,-12,3,28,-10,-2,8,12,0,-8,0,24,-20,40,-22,0,5,8,16,0,-21,-8,-15,8,-1,0,12,-4,-5,32,0,0,-6,-6,20,-8,0,-14,-12,-16,10,-22,-10,-16,-12,-20,3,0,24,-24,2,-2,0,-24,28,16,3,-44,2,-12,-3,-6,-10,0,24,2,12,32,6,-16,-32,-28,6,20,0,32,-13,-18,-5,0,0,40,-4,-20,-4,0,5,-8,32,-12,6,16,-21,-24,-8,0,0,24,-24,-4,11,26,-12,4,-16,14,17,0,-2,-20,7,0,25,-44,-2,0,-1,48,0,-16,40,-16,-7,-22,3,46,8,0,-10,0,-29,24,-2,-30,32,8,-18,-8,0,28,0,-2,13,0,32,42,24,-12,5,2,12,0,6,-16,-20,12,-14,32,4,0,-18,16,-22,6,16,-32,-20,-32,-5,-8,-12,-20,6,0,-24,0,9,8,-15,-4,-24,32,20,0,0,-12,-11,6,9,-24,56,0,-6,-16,0,0,23,32,2,4,-16,64,15,-12,-22,6,0,0,-16,-20,20,-2,4,16,24,24,-18,0,-2,-8,-38,0,10,0,-7,-40,8,40,0,-44,-12,16,30,10,-12,8,-8,32,34,0,-6,-42,28,-8,12,-30,24,8,-27,-2,0,0,26,24,6,0,4,-10,-28,32,-12,0,-36,12,-20,-12,-16,-6,-16,40,-44,0,0,0,1,-14,12,-24,42,-32,6,20,-16,-22,6,-20,12,0,46,-24,-21,-20,-21,6,0,20,10,48,34,-24]];
E[701,2] = [x^21+3*x^20-20*x^19-63*x^18+162*x^17+546*x^16-684*x^15-2544*x^14+1597*x^13+6948*x^12-1960*x^11-11383*x^10+917*x^9+11035*x^8+338*x^7-6056*x^6-455*x^5+1731*x^4+121*x^3-210*x^2-7*x+4, 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