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\\ an_s2g0new_815-900_hiprec.gp
\\ This is a PARI readable nonnormalized basis for S_2(Gamma_0(N)) for N 
\\ in the range:  815 <= N <= 900.
\\ The number of a_n computed is always at least 500.
\\ William Stein ([email protected])

E[815,1] = [x^5+2*x^4-4*x^3-7*x^2+4*x+5, 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^3-36*x^2+4*x+15,9*x^4+17*x^3-23*x^2-40*x+4,-3*x^4-2*x^3+12*x^2+3*x-8,-x^4-3*x^3+3*x^2+18*x-3,-2*x^4-3*x^3+10*x^2+8*x-15,-x^4-2*x^3-x^2+3*x+21,x^4+x^3+3*x-4,-x^4-3*x^3-x^2+7*x+8,4*x^4-2*x^3-8*x^2+3*x-15,-10*x^4-14*x^3+30*x^2+32*x-14,2*x^4+x^3-5*x^2+3,-12*x^4-16*x^3+55*x^2+43*x-63,-x^3-4*x^2+4*x+10,-6*x^4-11*x^3+17*x^2+18*x+4,7*x^3+8*x^2-16*x-5,-2*x^4+3*x^3+10*x^2-14*x-5,4*x^4-3*x^3-18*x^2+14*x+10,-x^4+x^3+6*x^2-3*x-8,-5*x^4-7*x^3+21*x^2+17*x-24,-2*x^4+x^3+9*x^2+2*x-1,9*x^4+13*x^3-40*x^2-29*x+25,10*x^4+12*x^3-27*x^2-19*x-6,x^4+3*x-10,-x^4-9*x^3-10*x^2+10*x+10,-3*x^4-x^3+10*x^2-16*x-20,-3*x^4-5*x^3+13*x^2+14*x-16,-3*x^4-2*x^3+4*x^2+3*x+7,2*x^4-3*x^3-16*x^2+8*x+16,-x^4+6*x^3+4*x^2-19*x-5,x^3-5*x^2-15*x+9,2*x^4-4*x^3-11*x^2+17*x+10,x^4+x^3-4*x^2-2*x+3,-x^4+x^3+11*x^2-5*x-15,-4*x^4+2*x^3+25*x^2-x-14,-5*x^4-2*x^3+24*x^2-21,6*x^4+4*x^3-35*x^2-12*x+49,-4*x^4+4*x^3+17*x^2-10*x-15,x^3+3*x^2-x-5,-2*x^4-9*x^3-4*x^2+18*x+14,2*x^4+4*x^3-2*x^2+6,-5*x^4-11*x^3+11*x^2+24*x+5,9*x^4+10*x^3-42*x^2-19*x+48,x^2-2]];
E[815,2] = [x^6+5*x^5+3*x^4-17*x^3-25*x^2-6*x+2, 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4*x+18,8*x^5+29*x^4-2*x^3-111*x^2-98*x+14,x^4+2*x^3-4*x^2-7*x-2,10*x^5+30*x^4-26*x^3-114*x^2-41*x+12,6*x^5+22*x^4-8*x^3-76*x^2-42*x-18,22*x^5+66*x^4-46*x^3-227*x^2-144*x-14,14*x^5+66*x^4-278*x^2-168*x+74,-8*x^5-18*x^4+32*x^3+64*x^2+10*x-4,-4*x^5-10*x^4+14*x^3+36*x^2+10*x,10*x^5+26*x^4-28*x^3-102*x^2-52*x+12,-23*x^5-75*x^4+57*x^3+297*x^2+85*x-68,10*x^5+24*x^4-34*x^3-80*x^2-22*x+10,6*x^5+16*x^4-25*x^3-65*x^2+6*x+21,x^2-2]];
E[815,3] = [x^7+2*x^6-6*x^5-11*x^4+8*x^3+13*x^2-2, 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