# Stored data for abelian variety isogeny class 2.71.a_bi, downloaded from the LMFDB on 29 October 2025.
{"abvar_count": 5076, "abvar_counts": [5076, 25765776, 128099809044, 646207311089664, 3255243554384645076, 16409561077109264193936, 82721210695552273233619476, 416997585856246167275129339904, 2102085018129621387182712570464724, 10596610598362777724601632042491045776], "abvar_counts_str": "5076 25765776 128099809044 646207311089664 3255243554384645076 16409561077109264193936 82721210695552273233619476 416997585856246167275129339904 2102085018129621387182712570464724 10596610598362777724601632042491045776 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.288481365551028, 0.711518634448972], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 72, "curve_counts": [72, 5110, 357912, 25429534, 1804229352, 128099334166, 9095120158392, 645753473545534, 45848500718449032, 3255243557759408950], "curve_counts_str": "72 5110 357912 25429534 1804229352 128099334166 9095120158392 645753473545534 45848500718449032 3255243557759408950 ", "curves": ["y^2=44*x^6+52*x^5+11*x^4+45*x^3+31*x^2+19*x+34", "y^2=48*x^6+36*x^5+64*x^4+40*x^3+43*x^2+13*x+58", "y^2=52*x^6+39*x^5+22*x^4+67*x^3+17*x^2+20*x+51", "y^2=58*x^6+15*x^5+12*x^4+35*x^3+59*x^2+15*x+13", "y^2=46*x^6+7*x^5+50*x^4+36*x^3+13*x^2+41*x+38", "y^2=32*x^6+33*x^5+47*x^4+59*x^3+29*x^2+51*x+7", "y^2=11*x^6+18*x^5+45*x^4+58*x^3+61*x^2+2*x+49", "y^2=44*x^6+28*x^5+31*x^4+41*x^2+64*x+48", "y^2=24*x^6+54*x^5+4*x^4+3*x^2+22*x+52", "y^2=29*x^6+4*x^5+47*x^4+4*x^3+67*x^2+43*x+22", "y^2=61*x^6+28*x^5+45*x^4+28*x^3+43*x^2+17*x+12", "y^2=17*x^6+x^5+29*x^4+31*x^3+54*x^2+42*x+15", "y^2=48*x^6+7*x^5+61*x^4+4*x^3+23*x^2+10*x+34", "y^2=55*x^6+23*x^5+17*x^4+61*x^3+19*x^2+56*x+32", "y^2=48*x^6+36*x^5+57*x^4+50*x^3+37*x^2+62*x+67", "y^2=52*x^6+39*x^5+44*x^4+66*x^3+46*x^2+8*x+43", "y^2=15*x^6+57*x^5+17*x^4+29*x^3+48*x^2+69*x+4", "y^2=34*x^6+44*x^5+48*x^4+61*x^3+52*x^2+57*x+28", "y^2=50*x^6+43*x^5+38*x^4+40*x^3+46*x^2+60*x+56", "y^2=66*x^6+17*x^5+53*x^4+67*x^3+38*x^2+65*x+37", "y^2=58*x^6+3*x^5+66*x^4+69*x^3+28*x^2+35*x+36", "y^2=51*x^6+21*x^5+36*x^4+57*x^3+54*x^2+32*x+39", "y^2=15*x^6+61*x^5+22*x^4+68*x^2+66*x+2", "y^2=34*x^6+x^5+12*x^4+50*x^2+36*x+14", "y^2=30*x^6+26*x^5+51*x^4+18*x^3+2*x^2+62*x+7", "y^2=68*x^6+40*x^5+2*x^4+55*x^3+14*x^2+8*x+49", "y^2=20*x^6+33*x^5+9*x^4+7*x^2+41*x+21", "y^2=49*x^6+48*x^5+30*x^4+69*x^3+56*x^2+12*x+56", "y^2=17*x^6+49*x^5+13*x^4+14*x^3+4*x^2+8*x+12", "y^2=38*x^6+41*x^5+4*x^4+34*x^3+4*x^2+50*x+38", "y^2=53*x^6+3*x^5+28*x^4+25*x^3+28*x^2+66*x+53", "y^2=5*x^6+10*x^5+29*x^4+20*x^3+20*x^2+28*x", "y^2=35*x^6+70*x^5+61*x^4+69*x^3+69*x^2+54*x", "y^2=66*x^6+21*x^5+48*x^4+35*x^3+23*x^2+59*x+35", "y^2=36*x^6+5*x^5+52*x^4+32*x^3+19*x^2+58*x+32", "y^2=48*x^6+67*x^5+26*x^4+13*x^3+68*x^2+62*x+46", "y^2=52*x^6+43*x^5+40*x^4+20*x^3+50*x^2+8*x+38", "y^2=38*x^6+68*x^5+57*x^4+6*x^3+69*x^2+27*x+62", "y^2=9*x^6+17*x^5+70*x^4+59*x^3+4*x^2+41*x+48", "y^2=63*x^6+48*x^5+64*x^4+58*x^3+28*x^2+3*x+52", "y^2=39*x^6+52*x^5+32*x^4+63*x^3+64*x^2+16*x+10", "y^2=60*x^6+9*x^5+11*x^4+15*x^3+22*x^2+41*x+70", "y^2=9*x^6+64*x^5+18*x^4+58*x^3+19*x^2+65*x+10", "y^2=14*x^6+14*x^5+69*x^4+22*x^3+45*x^2+15*x+21", "y^2=27*x^6+27*x^5+57*x^4+12*x^3+31*x^2+34*x+5", "y^2=4*x^6+9*x^5+45*x^4+12*x^3+26*x^2+9*x+67", "y^2=37*x^6+50*x^5+5*x^4+17*x^3+41*x^2+15*x+23", "y^2=46*x^6+66*x^5+35*x^4+48*x^3+3*x^2+34*x+19", "y^2=39*x^6+58*x^5+7*x^4+65*x^3+36*x^2+21*x+32", "y^2=60*x^6+51*x^5+49*x^4+29*x^3+39*x^2+5*x+11", "y^2=33*x^6+41*x^5+31*x^4+67*x^3+13*x^2+17*x+63", "y^2=18*x^6+3*x^5+4*x^4+43*x^3+20*x^2+48*x+15", "y^2=18*x^6+42*x^5+20*x^4+25*x^3+64*x^2+2*x+51", "y^2=15*x^6+13*x^5+52*x^4+36*x^3+46*x^2+42*x+69", "y^2=25*x^6+3*x^5+28*x^4+52*x^3+19*x^2+65*x+65", "y^2=33*x^6+21*x^5+54*x^4+9*x^3+62*x^2+29*x+29", "y^2=39*x^6+35*x^5+69*x^4+10*x^3+37*x^2+33*x+49", "y^2=50*x^6+35*x^5+2*x^4+49*x^3+27*x^2+57*x+44", "y^2=66*x^6+32*x^5+14*x^4+59*x^3+47*x^2+44*x+24", "y^2=53*x^6+35*x^5+9*x^4+7*x^3+32*x^2+6*x+4", "y^2=51*x^6+41*x^5+12*x^4+44*x^3+23*x^2+5*x+60", "y^2=2*x^6+3*x^5+13*x^4+24*x^3+19*x^2+35*x+65", "y^2=70*x^6+61*x^5+13*x^4+25*x^3+36*x^2+29*x+24", "y^2=64*x^6+x^5+20*x^4+33*x^3+39*x^2+61*x+26", "y^2=63*x^6+69*x^5+35*x^4+47*x^3+57*x^2+25*x+22", "y^2=15*x^6+57*x^5+32*x^4+45*x^3+44*x^2+33*x+12", "y^2=20*x^6+64*x^5+40*x^4+11*x^3+45*x^2+29*x+58", "y^2=69*x^6+22*x^5+67*x^4+6*x^3+31*x^2+61*x+51", "y^2=66*x^6+66*x^5+26*x^4+13*x^3+11*x^2+7*x+58", "y^2=36*x^6+36*x^5+40*x^4+20*x^3+6*x^2+49*x+51", "y^2=29*x^6+38*x^5+47*x^4+38*x^3+63*x^2+67*x+9", "y^2=61*x^6+53*x^5+45*x^4+53*x^3+15*x^2+43*x+63", "y^2=36*x^6+35*x^5+25*x^4+39*x^3+21*x^2+8*x+21", "y^2=39*x^6+32*x^5+33*x^4+60*x^3+5*x^2+56*x+5", "y^2=11*x^6+33*x^5+40*x^4+38*x^3+69*x^2+23*x+27", "y^2=6*x^6+18*x^5+67*x^4+53*x^3+57*x^2+19*x+47", "y^2=59*x^6+44*x^5+31*x^4+8*x^3+40*x^2+33*x+34", "y^2=58*x^6+24*x^5+4*x^4+56*x^3+67*x^2+18*x+25", "y^2=69*x^6+24*x^5+51*x^4+40*x^3+13*x^2+28*x+5", "y^2=57*x^6+26*x^5+2*x^4+67*x^3+20*x^2+54*x+35", "y^2=62*x^6+68*x^5+19*x^4+5*x^3+22*x^2+9*x", "y^2=8*x^6+50*x^5+62*x^4+35*x^3+12*x^2+63*x", "y^2=51*x^6+66*x^5+35*x^4+59*x^3+12*x^2+11*x+2", "y^2=2*x^6+36*x^5+32*x^4+58*x^3+13*x^2+6*x+14", "y^2=31*x^6+7*x^5+34*x^4+22*x^3+53*x^2+38*x+16", "y^2=4*x^6+49*x^5+25*x^4+12*x^3+16*x^2+53*x+41", "y^2=50*x^6+5*x^5+51*x^4+58*x^3+36*x^2+28*x+34", "y^2=66*x^6+35*x^5+2*x^4+51*x^3+39*x^2+54*x+25", "y^2=x^6+x^3+23", "y^2=4*x^6+53*x^5+53*x^4+x^3+12*x^2+47*x+4", "y^2=28*x^6+16*x^5+16*x^4+7*x^3+13*x^2+45*x+28", "y^2=41*x^6+38*x^5+24*x^4+22*x^3+62*x^2+37*x+11", "y^2=3*x^6+53*x^5+26*x^4+12*x^3+8*x^2+46*x+6", "y^2=34*x^6+29*x^5+12*x^4+8*x^3+67*x^2+19*x+4", "y^2=37*x^6+61*x^5+19*x^4+2*x^3+17*x^2+39*x+17", "y^2=44*x^6+48*x^5+49*x^4+20*x^3+35*x^2+57*x+15", "y^2=24*x^6+52*x^5+59*x^4+69*x^3+32*x^2+44*x+34", "y^2=16*x^6+67*x^5+58*x^4+42*x^3+55*x^2+43*x+44", "y^2=41*x^6+43*x^5+51*x^4+10*x^3+30*x^2+17*x+24", "y^2=25*x^6+63*x^5+44*x^4+x^3+23*x^2+5*x+51", "y^2=33*x^6+15*x^5+24*x^4+7*x^3+19*x^2+35*x+2", "y^2=40*x^6+51*x^5+56*x^4+57*x^3+8*x^2+59*x+44", "y^2=55*x^6+36*x^5+62*x^4+34*x^3+44*x^2+50*x+3", "y^2=30*x^6+39*x^5+8*x^4+25*x^3+24*x^2+66*x+21", "y^2=2*x^6+56*x^5+10*x^4+17*x^3+66*x^2+14*x+53", "y^2=28*x^6+37*x^5+x^4+21*x^3+63*x^2+12*x+9", "y^2=54*x^6+46*x^5+7*x^4+5*x^3+15*x^2+13*x+63", "y^2=9*x^6+6*x^5+7*x^4+65*x^3+26*x^2+31*x+3", "y^2=63*x^6+42*x^5+49*x^4+29*x^3+40*x^2+4*x+21", "y^2=13*x^6+11*x^5+37*x^4+12*x^3+40*x^2+48*x+32", "y^2=20*x^6+6*x^5+46*x^4+13*x^3+67*x^2+52*x+11", "y^2=45*x^6+26*x^5+35*x^4+12*x^3+60*x^2+42*x+52", "y^2=31*x^6+40*x^5+32*x^4+13*x^3+65*x^2+10*x+9", "y^2=61*x^6+64*x^5+37*x^4+31*x^3+36*x^2+x+23", "y^2=x^6+22*x^5+46*x^4+4*x^3+39*x^2+7*x+19", "y^2=24*x^6+22*x^5+66*x^4+54*x^3+52*x^2+4*x+39", "y^2=26*x^6+12*x^5+36*x^4+23*x^3+9*x^2+28*x+60", "y^2=43*x^6+52*x^5+56*x^4+52*x^3+44*x^2+60*x+24", "y^2=17*x^6+9*x^5+37*x^4+9*x^3+24*x^2+65*x+26", "y^2=40*x^6+50*x^5+x^4+14*x^3+34*x^2+6*x+7", "y^2=28*x^6+38*x^5+49*x^4+36*x^3+28*x^2+54*x+69", "y^2=54*x^6+53*x^5+59*x^4+39*x^3+54*x^2+23*x+57", "y^2=5*x^6+13*x^5+60*x^4+11*x^3+13*x^2+29*x+36", "y^2=35*x^6+20*x^5+65*x^4+6*x^3+20*x^2+61*x+39", "y^2=69*x^6+20*x^5+2*x^4+3*x^3+70*x^2+62*x+6", "y^2=57*x^6+69*x^5+14*x^4+21*x^3+64*x^2+8*x+42", "y^2=9*x^6+57*x^5+69*x^4+11*x^3+36*x^2+49*x+59", "y^2=63*x^6+44*x^5+57*x^4+6*x^3+39*x^2+59*x+58", "y^2=44*x^6+62*x^5+3*x^4+x^3+39*x^2+14*x+62", "y^2=24*x^6+8*x^5+21*x^4+7*x^3+60*x^2+27*x+8", "y^2=68*x^5+12*x^4+60*x^3+20*x^2+30*x+36", "y^2=50*x^5+13*x^4+65*x^3+69*x^2+68*x+39", "y^2=14*x^6+8*x^5+3*x^4+57*x^3+8*x^2+48*x+10", "y^2=27*x^6+56*x^5+21*x^4+44*x^3+56*x^2+52*x+70", "y^2=61*x^6+68*x^5+53*x^4+18*x^3+35*x^2+5*x+50", "y^2=x^6+50*x^5+16*x^4+55*x^3+32*x^2+35*x+66", "y^2=45*x^6+23*x^5+17*x^4+9*x^3+37*x^2+70*x+17", "y^2=31*x^6+19*x^5+48*x^4+63*x^3+46*x^2+64*x+48", "y^2=22*x^6+36*x^5+9*x^4+70*x^3+13*x^2+48*x+2", "y^2=12*x^6+39*x^5+63*x^4+64*x^3+20*x^2+52*x+14", "y^2=41*x^6+x^5+55*x^4+65*x^3+52*x^2+70*x+1", "y^2=3*x^6+7*x^5+30*x^4+29*x^3+9*x^2+64*x+7", "y^2=25*x^6+49*x^5+4*x^4+33*x^3+14*x^2+10*x+5", "y^2=30*x^6+63*x^5+9*x^4+6*x^3+55*x^2+49*x+42", "y^2=68*x^6+15*x^5+63*x^4+42*x^3+30*x^2+59*x+10", "y^2=54*x^6+9*x^5+17*x^4+67*x^3+32*x^2+47", "y^2=23*x^6+63*x^5+48*x^4+43*x^3+11*x^2+45", "y^2=30*x^6+34*x^5+33*x^4+29*x^3+43*x^2+44*x+11", "y^2=68*x^6+25*x^5+18*x^4+61*x^3+17*x^2+24*x+6", "y^2=15*x^6+67*x^5+54*x^4+15*x^3+66*x^2+7*x+57", "y^2=34*x^6+43*x^5+23*x^4+34*x^3+36*x^2+49*x+44", "y^2=61*x^6+22*x^5+4*x^4+17*x^3+26*x^2+36*x+3", "y^2=x^6+12*x^5+28*x^4+48*x^3+40*x^2+39*x+21", "y^2=18*x^6+15*x^5+32*x^4+68*x^3+65*x^2+62*x+8", "y^2=55*x^6+34*x^5+11*x^4+50*x^3+29*x^2+8*x+56", "y^2=22*x^6+6*x^5+49*x^4+18*x^3+51*x^2+7*x+37", "y^2=12*x^6+42*x^5+59*x^4+55*x^3+2*x^2+49*x+46", "y^2=68*x^6+24*x^5+26*x^4+22*x^3+41*x^2+8*x+44", "y^2=50*x^6+26*x^5+40*x^4+12*x^3+3*x^2+56*x+24", "y^2=x^6+x^3+53", "y^2=66*x^6+49*x^5+48*x^4+34*x^3+24*x^2+58*x+27", "y^2=36*x^6+59*x^5+52*x^4+25*x^3+26*x^2+51*x+47", "y^2=30*x^6+40*x^5+11*x^4+27*x^3+3*x^2+36*x+46", "y^2=68*x^6+67*x^5+6*x^4+47*x^3+21*x^2+39*x+38", "y^2=28*x^6+50*x^5+66*x^4+31*x^3+10*x^2+14*x+65", "y^2=67*x^6+13*x^5+63*x^4+63*x^3+49*x^2+12*x+43", "y^2=43*x^6+20*x^5+15*x^4+15*x^3+59*x^2+13*x+17", "y^2=9*x^6+47*x^5+55*x^4+30*x^3+28*x^2+5*x+54", "y^2=63*x^6+45*x^5+30*x^4+68*x^3+54*x^2+35*x+23", "y^2=22*x^6+x^5+20*x^4+9*x^3+28*x^2+19*x+3", "y^2=2*x^6+19*x^5+54*x^4+10*x^3+17*x^2+13*x+60", "y^2=14*x^6+62*x^5+23*x^4+70*x^3+48*x^2+20*x+65", "y^2=55*x^6+52*x^5+17*x^4+47*x^3+19*x^2+66*x+31", "y^2=30*x^6+9*x^5+48*x^4+45*x^3+62*x^2+36*x+4", "y^2=27*x^6+23*x^5+50*x^4+36*x^3+69*x^2+59*x+14", "y^2=47*x^6+19*x^5+66*x^4+39*x^3+57*x^2+58*x+27", "y^2=66*x^6+37*x^5+37*x^4+8*x^3+30*x^2+56*x+46", "y^2=36*x^6+46*x^5+46*x^4+56*x^3+68*x^2+37*x+38", "y^2=11*x^6+3*x^5+57*x^4+24*x^3+68*x^2+42*x+70", "y^2=6*x^6+21*x^5+44*x^4+26*x^3+50*x^2+10*x+64", "y^2=27*x^6+10*x^5+58*x^4+5*x^3+19*x^2+18*x+9", "y^2=47*x^6+70*x^5+51*x^4+35*x^3+62*x^2+55*x+63", "y^2=56*x^6+27*x^5+27*x^4+9*x^3+7*x^2+49*x+69", "y^2=37*x^6+47*x^5+47*x^4+63*x^3+49*x^2+59*x+57", "y^2=67*x^6+6*x^5+14*x^4+47*x^2+65*x+2", "y^2=43*x^6+42*x^5+27*x^4+45*x^2+29*x+14", "y^2=68*x^6+x^5+49*x^4+39*x^3+70*x^2+60*x+37", "y^2=2*x^6+51*x^5+21*x^4+15*x^3+3*x^2+59*x+59", "y^2=25*x^6+61*x^5+30*x^4+15*x^3+3*x^2+57*x+32", "y^2=33*x^6+x^5+68*x^4+34*x^3+21*x^2+44*x+11", "y^2=11*x^6+7*x^5+42*x^4+26*x^3+35*x^2+67*x+36", "y^2=21*x^6+56*x^5+53*x^4+25*x^3+11*x^2+10*x+11", "y^2=5*x^6+37*x^5+16*x^4+33*x^3+6*x^2+70*x+6", "y^2=14*x^6+53*x^5+27*x^4+49*x^3+4*x^2+40*x+48", "y^2=27*x^6+16*x^5+47*x^4+59*x^3+28*x^2+67*x+52", "y^2=24*x^6+29*x^5+16*x^4+9*x^3+29*x^2+5*x+58", "y^2=26*x^6+61*x^5+41*x^4+63*x^3+61*x^2+35*x+51", "y^2=x^6+51*x^5+32*x^4+60*x^3+32*x^2+42*x+42", "y^2=7*x^6+2*x^5+11*x^4+65*x^3+11*x^2+10*x+10", "y^2=16*x^6+29*x^5+36*x^4+49*x^3+66*x^2+47*x+41", "y^2=41*x^6+61*x^5+39*x^4+59*x^3+36*x^2+45*x+3", "y^2=13*x^6+9*x^5+9*x^4+8*x^3+24*x^2+43*x+21", "y^2=20*x^6+63*x^5+63*x^4+56*x^3+26*x^2+17*x+5", "y^2=53*x^6+6*x^5+18*x^4+7*x^3+32*x^2+48*x+8", "y^2=16*x^6+42*x^5+55*x^4+49*x^3+11*x^2+52*x+56", "y^2=28*x^6+53*x^5+26*x^4+20*x^3+18*x^2+37*x+68", "y^2=54*x^6+16*x^5+40*x^4+69*x^3+55*x^2+46*x+50", "y^2=19*x^6+56*x^5+13*x^4+8*x^3+70*x^2+37*x+53", "y^2=62*x^6+37*x^5+20*x^4+56*x^3+64*x^2+46*x+16", "y^2=22*x^6+62*x^5+15*x^4+29*x^3+58*x^2+30*x+6", "y^2=12*x^6+8*x^5+34*x^4+61*x^3+51*x^2+68*x+42", "y^2=4*x^6+45*x^5+38*x^4+7*x^3+52*x^2+29*x+35", "y^2=25*x^6+x^5+12*x^4+17*x^3+9*x^2+34*x+54", "y^2=33*x^6+7*x^5+13*x^4+48*x^3+63*x^2+25*x+23", "y^2=22*x^6+64*x^5+15*x^4+58*x^3+9*x^2+26*x+52", "y^2=12*x^6+22*x^5+34*x^4+51*x^3+63*x^2+40*x+9", "y^2=x^6+59*x^5+38*x^4+x^3+26*x^2+51*x+38", "y^2=40*x^6+60*x^5+27*x^4+6*x^3+4*x^2+22*x+46", "y^2=67*x^6+65*x^5+47*x^4+42*x^3+28*x^2+12*x+38", "y^2=4*x^6+14*x^5+28*x^4+51*x^3+30*x^2+29*x+27", "y^2=28*x^6+27*x^5+54*x^4+2*x^3+68*x^2+61*x+47", "y^2=27*x^6+67*x^5+53*x^4+57*x^3+40*x^2+31*x+21", "y^2=47*x^6+43*x^5+16*x^4+44*x^3+67*x^2+4*x+5", "y^2=20*x^6+69*x^5+22*x^4+64*x^3+23*x^2+30*x+51", "y^2=69*x^6+57*x^5+12*x^4+22*x^3+19*x^2+68*x+2", "y^2=5*x^6+39*x^5+17*x^4+53*x^3+11*x^2+25*x+17", "y^2=35*x^6+60*x^5+48*x^4+16*x^3+6*x^2+33*x+48", "y^2=22*x^6+27*x^5+17*x^4+66*x^3+57*x^2+60*x+55", "y^2=12*x^6+47*x^5+48*x^4+36*x^3+44*x^2+65*x+30", "y^2=x^6+43*x^4+21*x^3+9*x^2+x+7", "y^2=7*x^6+17*x^4+5*x^3+63*x^2+7*x+49", "y^2=18*x^6+32*x^5+15*x^4+x^3+10*x^2+12*x+39", "y^2=55*x^6+11*x^5+34*x^4+7*x^3+70*x^2+13*x+60", "y^2=25*x^6+67*x^5+44*x^4+40*x^3+28*x^2+42*x+16", "y^2=33*x^6+43*x^5+24*x^4+67*x^3+54*x^2+10*x+41", "y^2=43*x^6+70*x^5+37*x^4+20*x^3+2*x^2+67*x+35", "y^2=17*x^6+64*x^5+46*x^4+69*x^3+14*x^2+43*x+32", "y^2=44*x^6+15*x^5+26*x^4+56*x^3+9*x^2+29*x+36", "y^2=54*x^6+x^5+55*x^4+51*x^3+41*x^2+33*x+31", "y^2=23*x^6+7*x^5+30*x^4+2*x^3+3*x^2+18*x+4", "y^2=36*x^6+53*x^5+58*x^4+56*x^3+12*x^2+34*x+62", "y^2=39*x^6+16*x^5+51*x^4+37*x^3+13*x^2+25*x+8", "y^2=13*x^6+62*x^5+34*x^4+39*x^3+58*x^2+27*x+53", "y^2=20*x^6+8*x^5+25*x^4+60*x^3+51*x^2+47*x+16", "y^2=10*x^6+39*x^5+24*x^4+28*x^3+36*x^2+10*x+30", "y^2=70*x^6+60*x^5+26*x^4+54*x^3+39*x^2+70*x+68", "y^2=62*x^6+8*x^5+57*x^4+39*x^3+69*x^2+29*x+49", "y^2=54*x^6+12*x^5+22*x^4+28*x^3+67*x^2+11*x+25", "y^2=23*x^6+13*x^5+12*x^4+54*x^3+43*x^2+6*x+33", "y^2=54*x^6+18*x^5+11*x^4+59*x^3+57*x^2+61*x+15", "y^2=23*x^6+55*x^5+6*x^4+58*x^3+44*x^2+x+34", "y^2=34*x^6+57*x^5+17*x^4+35*x^3+28*x^2+55*x+48", "y^2=25*x^6+44*x^5+48*x^4+32*x^3+54*x^2+30*x+52", "y^2=19*x^6+58*x^5+5*x^4+58*x^3+30*x^2+36*x+50", "y^2=62*x^6+51*x^5+35*x^4+51*x^3+68*x^2+39*x+66", "y^2=51*x^6+69*x^5+53*x^4+48*x^3+14*x^2+11*x+52", "y^2=2*x^6+57*x^5+16*x^4+52*x^3+27*x^2+6*x+9", "y^2=10*x^6+35*x^5+61*x^4+20*x^3+32*x^2+63*x+65", "y^2=70*x^6+32*x^5+x^4+69*x^3+11*x^2+15*x+29", "y^2=62*x^6+22*x^5+58*x^4+40*x^3+39*x^2+56*x+30", "y^2=51*x^6+42*x^5+6*x^4+23*x^3+x^2+47*x+54", "y^2=2*x^6+10*x^5+42*x^4+19*x^3+7*x^2+45*x+23", "y^2=40*x^6+15*x^5+54*x^4+66*x^3+28*x^2+4*x+5", "y^2=67*x^6+34*x^5+23*x^4+36*x^3+54*x^2+28*x+35", "y^2=27*x^6+68*x^5+70*x^4+50*x^3+54*x^2+56*x+23", "y^2=39*x^6+46*x^5+42*x^4+12*x^3+44*x^2+39*x+43", "y^2=60*x^6+38*x^5+10*x^4+13*x^3+24*x^2+60*x+17", "y^2=20*x^6+59*x^5+23*x^4+18*x^3+31*x^2+12*x+16", "y^2=13*x^6+40*x^5+33*x^4+52*x^3+54*x^2+32*x+48", "y^2=51*x^6+53*x^5+48*x^4+46*x^3+64*x^2+32*x+28", "y^2=2*x^6+16*x^5+52*x^4+38*x^3+22*x^2+11*x+54", "y^2=11*x^6+36*x^5+10*x^4+59*x^3+31*x^2+8*x+6", "y^2=55*x^6+39*x^5+55*x^4+66*x^3+52*x^2+8*x+70", "y^2=30*x^6+60*x^5+30*x^4+36*x^3+9*x^2+56*x+64", "y^2=15*x^6+47*x^5+64*x^4+42*x^3+7*x^2+47*x+56", "y^2=45*x^6+51*x^5+11*x^4+15*x^3+12*x^2+6*x+39", "y^2=31*x^6+2*x^5+6*x^4+34*x^3+13*x^2+42*x+60", "y^2=41*x^6+19*x^5+9*x^4+54*x^3+37*x^2+4*x+43", "y^2=3*x^6+62*x^5+63*x^4+23*x^3+46*x^2+28*x+17", "y^2=30*x^6+4*x^5+8*x^4+2*x^3+29*x^2+68*x+49", "y^2=68*x^6+28*x^5+56*x^4+14*x^3+61*x^2+50*x+59", "y^2=27*x^6+35*x^5+30*x^4+11*x^3+45*x^2+40*x+60", "y^2=47*x^6+32*x^5+68*x^4+6*x^3+31*x^2+67*x+65", "y^2=23*x^6+51*x^4+37*x^3+58*x^2+49*x+15", "y^2=19*x^6+2*x^4+46*x^3+51*x^2+59*x+34", "y^2=54*x^6+6*x^5+55*x^4+52*x^3+56*x^2+14*x+34", "y^2=23*x^6+42*x^5+30*x^4+9*x^3+37*x^2+27*x+25", "y^2=37*x^6+10*x^5+59*x^4+62*x^3+35*x^2+40*x+5", "y^2=61*x^6+17*x^5+53*x^4+63*x^3+64*x^2+61*x+11", "y^2=54*x^6+30*x^5+27*x^4+51*x^3+59*x^2+18*x+53", "y^2=23*x^6+68*x^5+47*x^4+2*x^3+58*x^2+55*x+16", "y^2=15*x^6+9*x^5+52*x^4+15*x^3+25*x^2+50*x+61", "y^2=58*x^6+25*x^5+11*x^4+37*x^3+46*x^2+33*x+4", "y^2=51*x^6+33*x^5+6*x^4+46*x^3+38*x^2+18*x+28", "y^2=23*x^6+70*x^5+32*x^4+67*x^3+67*x^2+33*x+69", "y^2=19*x^6+64*x^5+11*x^4+43*x^3+43*x^2+18*x+57", "y^2=3*x^6+9*x^5+2*x^4+4*x^3+53*x^2+52*x+11", "y^2=21*x^6+63*x^5+14*x^4+28*x^3+16*x^2+9*x+6", "y^2=20*x^6+60*x^5+31*x^4+18*x^3+57*x^2+63*x+18", "y^2=69*x^6+65*x^5+4*x^4+55*x^3+44*x^2+15*x+55", "y^2=36*x^6+27*x^5+34*x^4+31*x^3+40*x^2+30*x+22", "y^2=47*x^6+51*x^5+55*x^4+33*x^3+23*x^2+23*x+39", "y^2=45*x^6+2*x^5+30*x^4+18*x^3+19*x^2+19*x+60", "y^2=27*x^6+39*x^5+13*x^4+22*x^3+50*x^2+55*x+65", "y^2=47*x^6+60*x^5+20*x^4+12*x^3+66*x^2+30*x+29", "y^2=13*x^6+20*x^5+55*x^4+21*x^3+32*x^2+26*x+64", "y^2=20*x^6+69*x^5+30*x^4+5*x^3+11*x^2+40*x+22", "y^2=19*x^6+10*x^5+27*x^4+43*x^3+62*x^2+44*x+3", "y^2=62*x^6+70*x^5+47*x^4+17*x^3+8*x^2+24*x+21", "y^2=28*x^6+64*x^5+18*x^4+14*x^3+9*x^2+48*x+34", "y^2=54*x^6+22*x^5+55*x^4+27*x^3+63*x^2+52*x+25", "y^2=21*x^6+7*x^5+42*x^4+31*x^3+37*x^2+26*x+18", "y^2=63*x^6+56*x^5+33*x^4+29*x^3+8*x^2+31*x+2", "y^2=6*x^6+41*x^5+54*x^4+29*x^3+31*x^2+56*x+53", "y^2=18*x^6+29*x^5+44*x^4+52*x^3+55*x^2+47*x+24", "y^2=55*x^6+61*x^5+24*x^4+9*x^3+30*x^2+45*x+26", "y^2=50*x^6+48*x^5+45*x^4+63*x^3+42*x^2+31*x+47", "y^2=66*x^6+52*x^5+31*x^4+15*x^3+10*x^2+4*x+45", "y^2=69*x^6+32*x^5+63*x^4+53*x^3+38*x^2+48*x+30", "y^2=57*x^6+11*x^5+15*x^4+16*x^3+53*x^2+52*x+68", "y^2=15*x^6+61*x^5+35*x^4+57*x^3+43*x^2+20*x+19", "y^2=34*x^6+x^5+32*x^4+44*x^3+17*x^2+69*x+62", "y^2=23*x^6+64*x^5+61*x^4+17*x^3+36*x^2+39*x+16", "y^2=19*x^6+22*x^5+x^4+48*x^3+39*x^2+60*x+41", "y^2=17*x^6+13*x^5+48*x^4+20*x^3+53*x^2+44*x+60", "y^2=48*x^6+20*x^5+52*x^4+69*x^3+16*x^2+24*x+65", "y^2=2*x^6+27*x^5+27*x^4+18*x^3+52*x^2+39*x+8", "y^2=14*x^6+47*x^5+47*x^4+55*x^3+9*x^2+60*x+56", "y^2=65*x^6+57*x^5+45*x^4+67*x^3+62*x^2+42*x+67", "y^2=29*x^6+44*x^5+31*x^4+43*x^3+8*x^2+10*x+43", "y^2=2*x^6+17*x^5+20*x^4+11*x^3+43*x^2+60*x+69", "y^2=9*x^6+27*x^4+49*x^3+5*x^2+10*x+17", "y^2=63*x^6+47*x^4+59*x^3+35*x^2+70*x+48", "y^2=59*x^6+46*x^5+12*x^4+29*x^3+38*x^2+46*x+56", "y^2=58*x^6+38*x^5+13*x^4+61*x^3+53*x^2+38*x+37", "y^2=51*x^6+50*x^5+33*x^4+10*x^3+64*x^2+6*x+5", "y^2=2*x^6+66*x^5+18*x^4+70*x^3+22*x^2+42*x+35", "y^2=5*x^6+3*x^5+43*x^4+43*x^3+55*x^2+14*x+11", "y^2=35*x^6+21*x^5+17*x^4+17*x^3+30*x^2+27*x+6", "y^2=16*x^6+35*x^5+4*x^4+40*x^3+29*x^2+4*x+19", "y^2=41*x^6+32*x^5+28*x^4+67*x^3+61*x^2+28*x+62", "y^2=65*x^6+50*x^5+42*x^4+17*x^3+39*x^2+64*x+30", "y^2=29*x^6+66*x^5+10*x^4+48*x^3+60*x^2+22*x+68", "y^2=63*x^6+65*x^5+27*x^4+x^3+19*x^2+19*x+54", "y^2=15*x^6+29*x^5+47*x^4+7*x^3+62*x^2+62*x+23", "y^2=47*x^6+30*x^5+42*x^4+54*x^3+29*x^2+12*x+54", "y^2=45*x^6+68*x^5+10*x^4+23*x^3+61*x^2+13*x+23", "y^2=70*x^6+43*x^5+38*x^4+16*x^3+54*x^2+2*x+42", "y^2=64*x^6+17*x^5+53*x^4+41*x^3+23*x^2+14*x+10", "y^2=65*x^6+24*x^5+40*x^4+9*x^2+7*x+61", "y^2=29*x^6+26*x^5+67*x^4+63*x^2+49*x+1", "y^2=5*x^6+34*x^5+9*x^4+x^3+69*x^2+3*x+16", "y^2=35*x^6+25*x^5+63*x^4+7*x^3+57*x^2+21*x+41", "y^2=x^6+43*x^5+2*x^4+49*x^3+69*x^2+57*x", "y^2=7*x^6+17*x^5+14*x^4+59*x^3+57*x^2+44*x", "y^2=19*x^6+19*x^5+13*x^4+33*x^3+24*x^2+2*x+22", "y^2=2*x^6+30*x^5+7*x^4+20*x^3+14*x^2+20*x+64", "y^2=14*x^6+68*x^5+49*x^4+69*x^3+27*x^2+69*x+22", "y^2=5*x^6+2*x^5+58*x^4+22*x^3+70*x^2+29*x+52", "y^2=34*x^6+4*x^5+32*x^4+52*x^3+56*x^2+16*x+36", "y^2=25*x^6+28*x^5+11*x^4+9*x^3+37*x^2+41*x+39", "y^2=x^6+x^3+65", "y^2=65*x^6+12*x^5+56*x^4+58*x^3+10*x^2+29*x+57", "y^2=11*x^6+4*x^5+19*x^4+39*x^3+48*x^2+18*x+66", "y^2=6*x^6+28*x^5+62*x^4+60*x^3+52*x^2+55*x+36", "y^2=32*x^6+26*x^5+8*x^4+48*x^3+46*x^2+52*x+13", "y^2=68*x^6+53*x^5+65*x^4+47*x^3+29*x^2+52*x+66", "y^2=50*x^6+16*x^5+29*x^4+45*x^3+61*x^2+9*x+36", "y^2=35*x^6+61*x^5+28*x^4+27*x^3+x^2+44*x+30", "y^2=60*x^6+3*x^5+10*x^4+69*x^3+35*x^2+27*x+70", "y^2=65*x^6+21*x^5+70*x^4+57*x^3+32*x^2+47*x+64", "y^2=51*x^6+47*x^5+14*x^4+22*x^3+2*x^2+54*x+53", "y^2=2*x^6+45*x^5+27*x^4+12*x^3+14*x^2+23*x+16", "y^2=44*x^6+35*x^5+17*x^4+55*x^3+25*x^2+19*x+58", "y^2=24*x^6+32*x^5+48*x^4+30*x^3+33*x^2+62*x+51", "y^2=37*x^6+30*x^5+33*x^4+31*x^3+51*x^2+20*x+6", "y^2=46*x^6+68*x^5+18*x^4+4*x^3+2*x^2+69*x+42", "y^2=11*x^6+70*x^5+31*x^4+69*x^3+3*x^2+39*x+2", "y^2=37*x^5+24*x^4+40*x^3+47*x^2+55*x+57", "y^2=46*x^5+26*x^4+67*x^3+45*x^2+30*x+44", "y^2=8*x^6+69*x^5+23*x^4+8*x^3+40*x^2+42*x+69", "y^2=63*x^6+49*x^5+51*x^4+20*x^3+26*x^2+6*x+53", "y^2=15*x^6+59*x^5+2*x^4+69*x^3+40*x^2+42*x+16", "y^2=3*x^6+22*x^5+64*x^4+43*x^3+41*x^2+58*x+54", "y^2=21*x^6+12*x^5+22*x^4+17*x^3+3*x^2+51*x+23", "y^2=58*x^6+25*x^5+46*x^4+68*x^3+37*x^2+6*x+64", "y^2=51*x^6+33*x^5+38*x^4+50*x^3+46*x^2+42*x+22", "y^2=63*x^6+21*x^5+44*x^4+10*x^3+5*x^2+60*x+24", "y^2=39*x^6+61*x^5+16*x^4+5*x^3+24*x^2+48*x+27", "y^2=60*x^6+x^5+41*x^4+35*x^3+26*x^2+52*x+47", "y^2=47*x^6+58*x^5+26*x^4+25*x^3+41*x^2+37*x+13", "y^2=45*x^6+51*x^5+40*x^4+33*x^3+3*x^2+46*x+20", "y^2=49*x^6+x^5+39*x^4+8*x^3+15*x^2+43*x+13", "y^2=20*x^6+68*x^5+29*x^4+36*x^3+34*x^2+60*x+66", "y^2=69*x^6+50*x^5+61*x^4+39*x^3+25*x^2+65*x+36", "y^2=25*x^6+50*x^5+24*x^4+54*x^3+59*x^2+21", "y^2=33*x^6+66*x^5+26*x^4+23*x^3+58*x^2+5", "y^2=65*x^6+9*x^5+14*x^4+25*x^3+33*x^2+62*x+20", "y^2=59*x^6+12*x^5+53*x^4+36*x^3+57*x^2+2*x+30", "y^2=45*x^6+70*x^5+51*x^4+63*x^3+8*x^2+3*x+20", "y^2=31*x^6+64*x^5+2*x^4+15*x^3+56*x^2+21*x+69", "y^2=43*x^6+14*x^5+46*x^4+62*x^3+21*x^2+39*x+57", "y^2=17*x^6+27*x^5+38*x^4+8*x^3+5*x^2+60*x+44", "y^2=45*x^6+43*x^5+11*x^4+49*x^3+68*x^2+5*x+25", "y^2=31*x^6+17*x^5+6*x^4+59*x^3+50*x^2+35*x+33", "y^2=67*x^6+50*x^5+25*x^4+46*x^3+64*x^2+47*x+7", "y^2=43*x^6+66*x^5+33*x^4+38*x^3+22*x^2+45*x+49", "y^2=62*x^6+33*x^5+46*x^4+50*x^3+48*x^2+26*x+10", "y^2=22*x^6+16*x^5+21*x^4+67*x^3+68*x^2+40*x+7", "y^2=12*x^6+41*x^5+5*x^4+43*x^3+50*x^2+67*x+49", "y^2=35*x^6+47*x^5+63*x^4+59*x^3+56*x^2+69*x+61", "y^2=32*x^6+45*x^5+15*x^4+58*x^3+37*x^2+57*x+1", "y^2=41*x^6+45*x^5+15*x^4+23*x^3+14*x^2+13*x+39", "y^2=3*x^6+31*x^5+34*x^4+19*x^3+27*x^2+20*x+60", "y^2=15*x^6+46*x^5+63*x^4+42*x^3+31*x^2+58*x+52", "y^2=34*x^6+38*x^5+15*x^4+10*x^3+4*x^2+51*x+9", "y^2=55*x^6+68*x^5+66*x^4+34*x^3+27*x^2+9*x+67", "y^2=30*x^6+50*x^5+36*x^4+25*x^3+47*x^2+63*x+43", "y^2=26*x^6+7*x^5+x^4+27*x^3+31*x^2+66*x+19", "y^2=40*x^6+49*x^5+7*x^4+47*x^3+4*x^2+36*x+62", "y^2=4*x^6+25*x^5+56*x^4+21*x^3+25*x^2+19*x+63", "y^2=28*x^6+33*x^5+37*x^4+5*x^3+33*x^2+62*x+15", "y^2=10*x^6+70*x^5+17*x^4+15*x^3+50*x^2+18*x+68", "y^2=4*x^6+69*x^5+31*x^4+63*x^3+11*x^2+6*x+21", "y^2=28*x^6+57*x^5+4*x^4+15*x^3+6*x^2+42*x+5", "y^2=12*x^6+32*x^5+9*x^4+11*x^3+48*x^2+33*x+36", "y^2=13*x^6+11*x^5+63*x^4+6*x^3+52*x^2+18*x+39", "y^2=7*x^6+52*x^5+21*x^4+67*x^3+64*x^2+53*x+28", "y^2=19*x^6+5*x^5+55*x^4+4*x^3+45*x^2+x+47", "y^2=56*x^6+54*x^5+13*x^4+61*x^3+2*x^2+50*x+27", "y^2=37*x^6+23*x^5+20*x^4+x^3+14*x^2+66*x+47", "y^2=43*x^6+18*x^5+33*x^4+41*x^3+40*x^2+35*x+50", "y^2=17*x^6+55*x^5+18*x^4+3*x^3+67*x^2+32*x+66", "y^2=68*x^6+35*x^5+38*x^4+65*x^3+67*x^2+30*x+26", "y^2=50*x^6+32*x^5+53*x^4+29*x^3+43*x^2+68*x+40", "y^2=34*x^6+30*x^5+x^4+29*x^3+53*x^2+2*x+17", "y^2=25*x^6+68*x^5+7*x^4+61*x^3+16*x^2+14*x+48", "y^2=10*x^6+61*x^5+42*x^4+37*x^3+38*x^2+49*x+59", "y^2=70*x^6+x^5+10*x^4+46*x^3+53*x^2+59*x+58", "y^2=33*x^6+57*x^5+43*x^4+26*x^3+4*x^2+62*x+55", "y^2=18*x^6+44*x^5+17*x^4+40*x^3+28*x^2+8*x+30", "y^2=53*x^6+12*x^5+4*x^4+28*x^3+x^2+19*x+49", "y^2=16*x^6+13*x^5+28*x^4+54*x^3+7*x^2+62*x+59", "y^2=35*x^6+67*x^5+55*x^4+19*x^3+67*x^2+37*x+32", "y^2=32*x^6+43*x^5+30*x^4+62*x^3+43*x^2+46*x+11", "y^2=16*x^6+10*x^5+63*x^4+61*x^3+36*x^2+31*x+45", "y^2=41*x^6+70*x^5+15*x^4+x^3+39*x^2+4*x+31", "y^2=16*x^6+x^5+23*x^4+21*x^3+69*x^2+14*x+35", "y^2=41*x^6+7*x^5+19*x^4+5*x^3+57*x^2+27*x+32", "y^2=67*x^6+45*x^5+45*x^4+9*x^3+34*x^2+17*x+38", "y^2=43*x^6+31*x^5+31*x^4+63*x^3+25*x^2+48*x+53", "y^2=28*x^6+63*x^4+16*x^3+28*x^2+30*x+51", "y^2=54*x^6+15*x^4+41*x^3+54*x^2+68*x+2", "y^2=51*x^6+55*x^5+27*x^4+7*x^3+3*x^2+37*x+69", "y^2=2*x^6+30*x^5+47*x^4+49*x^3+21*x^2+46*x+57", "y^2=41*x^6+50*x^5+57*x^4+38*x^3+42*x^2+43*x+5", "y^2=3*x^6+66*x^5+44*x^4+53*x^3+10*x^2+17*x+35", "y^2=45*x^6+68*x^5+43*x^4+47*x^3+69*x^2+67*x+55", "y^2=53*x^6+x^5+28*x^4+56*x^3+7*x^2+23*x+58", "y^2=6*x^6+57*x^5+64*x^4+53*x^3+29*x^2+29*x+46", "y^2=42*x^6+44*x^5+22*x^4+16*x^3+61*x^2+61*x+38", "y^2=7*x^6+45*x^5+68*x^4+26*x^3+5*x^2+54*x+57", "y^2=34*x^6+36*x^5+59*x^4+10*x^3+38*x^2+6*x+57", "y^2=8*x^6+5*x^5+9*x^4+21*x^3+24*x^2+33*x+16", "y^2=56*x^6+35*x^5+63*x^4+5*x^3+26*x^2+18*x+41", "y^2=55*x^6+35*x^5+3*x^4+11*x^3+69*x^2+68*x+1", "y^2=30*x^6+32*x^5+21*x^4+6*x^3+57*x^2+50*x+7", "y^2=21*x^6+x^5+19*x^4+45*x^3+28*x^2+36*x+8", "y^2=15*x^6+65*x^5+48*x^4+14*x^3+68*x^2+56*x+62", "y^2=23*x^6+2*x^5+54*x^4+29*x^3+10*x^2+38*x+56", "y^2=19*x^6+14*x^5+23*x^4+61*x^3+70*x^2+53*x+37", "y^2=61*x^6+5*x^5+65*x^4+68*x^3+28*x+19", "y^2=x^6+35*x^5+29*x^4+50*x^3+54*x+62", "y^2=65*x^6+10*x^5+34*x^4+18*x^3+52*x^2+47*x+12", "y^2=29*x^6+70*x^5+25*x^4+55*x^3+9*x^2+45*x+13", "y^2=6*x^6+16*x^5+64*x^4+51*x^3+54*x^2+40*x+63", "y^2=42*x^6+41*x^5+22*x^4+2*x^3+23*x^2+67*x+15", "y^2=5*x^6+65*x^5+22*x^4+3*x^3+47*x^2+45*x+39", "y^2=35*x^6+29*x^5+12*x^4+21*x^3+45*x^2+31*x+60", "y^2=39*x^6+16*x^5+63*x^4+25*x^3+21*x^2+63*x+39", "y^2=60*x^6+41*x^5+15*x^4+33*x^3+5*x^2+15*x+60", "y^2=16*x^6+29*x^5+60*x^4+55*x^3+56*x^2+29*x+19", "y^2=41*x^6+61*x^5+65*x^4+30*x^3+37*x^2+61*x+62", "y^2=17*x^6+69*x^5+3*x^4+12*x^3+56*x^2+18*x+4", "y^2=48*x^6+57*x^5+21*x^4+13*x^3+37*x^2+55*x+28", "y^2=47*x^6+25*x^5+20*x^4+40*x^3+67*x^2+x+32", "y^2=31*x^6+61*x^5+17*x^4+17*x^3+58*x^2+26*x+62", "y^2=4*x^6+x^5+48*x^4+48*x^3+51*x^2+40*x+8", "y^2=18*x^6+20*x^5+69*x^4+51*x^3+x^2+10*x+9", "y^2=55*x^6+69*x^5+57*x^4+2*x^3+7*x^2+70*x+63", "y^2=57*x^6+10*x^5+12*x^4+42*x^3+21*x^2+4*x+47", "y^2=67*x^6+26*x^5+39*x^4+22*x^3+24*x^2+63*x+63", "y^2=43*x^6+40*x^5+60*x^4+12*x^3+26*x^2+15*x+15", "y^2=62*x^6+17*x^5+28*x^4+64*x^3+67*x^2+59*x+1", "y^2=8*x^6+48*x^5+54*x^4+22*x^3+43*x^2+58*x+7", "y^2=30*x^6+37*x^5+55*x^4+46*x^3+x^2+35*x+22", "y^2=68*x^6+46*x^5+30*x^4+38*x^3+7*x^2+32*x+12", "y^2=4*x^6+42*x^5+2*x^4+5*x^3+13*x^2+56*x+26", "y^2=28*x^6+10*x^5+14*x^4+35*x^3+20*x^2+37*x+40", "y^2=45*x^6+60*x^5+22*x^4+16*x^3+55*x^2+68*x+18", "y^2=31*x^6+65*x^5+12*x^4+41*x^3+30*x^2+50*x+55", "y^2=55*x^6+59*x^5+42*x^4+47*x^3+66*x^2+41*x+43", "y^2=30*x^6+58*x^5+10*x^4+45*x^3+36*x^2+3*x+17", "y^2=47*x^6+66*x^5+66*x^4+19*x^3+x^2+55*x+70", "y^2=45*x^6+36*x^5+36*x^4+62*x^3+7*x^2+30*x+64", "y^2=34*x^6+24*x^5+38*x^4+59*x^3+68*x^2+18*x+35", "y^2=25*x^6+26*x^5+53*x^4+58*x^3+50*x^2+55*x+32", "y^2=47*x^6+45*x^5+36*x^4+19*x^3+39*x^2+12*x+68", "y^2=45*x^6+31*x^5+39*x^4+62*x^3+60*x^2+13*x+50", "y^2=32*x^6+3*x^5+16*x^4+19*x^3+51*x^2+59*x+43", "y^2=11*x^6+21*x^5+41*x^4+62*x^3+2*x^2+58*x+17", "y^2=15*x^6+31*x^5+45*x^4+44*x^3+17*x^2+4*x+62", "y^2=34*x^6+4*x^5+31*x^4+24*x^3+48*x^2+28*x+8", "y^2=23*x^6+21*x^5+31*x^4+38*x^3+25*x^2+17*x+6", "y^2=19*x^6+5*x^5+4*x^4+53*x^3+33*x^2+48*x+42", "y^2=35*x^6+40*x^5+17*x^4+42*x^3+2*x^2+22*x+23", "y^2=32*x^6+67*x^5+48*x^4+10*x^3+14*x^2+12*x+19", "y^2=32*x^6+60*x^5+49*x^4+50*x^3+34*x^2+6*x+17", "y^2=11*x^6+67*x^5+31*x^4+62*x^3+33*x^2+42*x+1", "y^2=6*x^6+43*x^5+4*x^4+8*x^3+18*x^2+10*x+7", "y^2=67*x^6+13*x^5+28*x^4+69*x^3+55*x^2+58*x+5", "y^2=43*x^6+20*x^5+54*x^4+57*x^3+30*x^2+51*x+35", "y^2=65*x^6+58*x^5+13*x^4+42*x^3+26*x^2+37*x+54", "y^2=29*x^6+51*x^5+20*x^4+10*x^3+40*x^2+46*x+23", "y^2=62*x^6+6*x^5+39*x^4+45*x^3+27*x^2+18*x+25", "y^2=19*x^6+48*x^5+26*x^4+14*x^3+54*x^2+27*x+14", "y^2=62*x^6+52*x^5+40*x^4+27*x^3+23*x^2+47*x+27", "y^2=43*x^6+68*x^5+18*x^4+19*x^3+5*x^2+14*x+16", "y^2=17*x^6+50*x^5+55*x^4+62*x^3+35*x^2+27*x+41", "y^2=17*x^6+37*x^5+5*x^4+16*x^3+22*x^2+42*x+38", "y^2=48*x^6+46*x^5+35*x^4+41*x^3+12*x^2+10*x+53", "y^2=69*x^6+9*x^5+29*x^4+44*x^3+34*x^2+24*x+42", "y^2=57*x^6+63*x^5+61*x^4+24*x^3+25*x^2+26*x+10", "y^2=60*x^6+57*x^5+22*x^4+32*x^3+17*x^2+24*x+50", "y^2=65*x^6+44*x^5+12*x^4+11*x^3+48*x^2+26*x+66", "y^2=70*x^6+58*x^5+41*x^4+15*x^3+70*x^2+57*x+44", "y^2=64*x^6+51*x^5+3*x^4+34*x^3+64*x^2+44*x+24", "y^2=19*x^6+46*x^5+29*x^4+62*x^3+44*x^2+47*x+46", "y^2=62*x^6+38*x^5+61*x^4+8*x^3+24*x^2+45*x+38", "y^2=24*x^6+43*x^5+13*x^4+27*x^3+70*x^2+44*x+35", "y^2=26*x^6+17*x^5+20*x^4+47*x^3+64*x^2+24*x+32", "y^2=9*x^6+11*x^5+31*x^4+2*x^3+20*x^2+21*x+3", "y^2=63*x^6+6*x^5+4*x^4+14*x^3+69*x^2+5*x+21", "y^2=55*x^6+12*x^5+x^4+27*x^3+4*x^2+46*x+55", "y^2=19*x^6+9*x^5+8*x^4+28*x^3+54*x^2+57*x+31", "y^2=62*x^6+63*x^5+56*x^4+54*x^3+23*x^2+44*x+4", "y^2=56*x^6+18*x^5+51*x^4+27*x^3+24*x^2+60*x+60", "y^2=63*x^6+63*x^5+55*x^4+64*x^3+47*x^2+56*x+69", "y^2=15*x^6+15*x^5+30*x^4+22*x^3+45*x^2+37*x+57", "y^2=21*x^6+62*x^5+4*x^4+48*x^3+49*x^2+59*x+19", "y^2=5*x^6+8*x^5+28*x^4+52*x^3+59*x^2+58*x+62", "y^2=60*x^6+29*x^5+38*x^4+17*x^2+41*x+63", "y^2=65*x^6+61*x^5+53*x^4+48*x^2+3*x+15", "y^2=43*x^6+28*x^5+29*x^4+53*x^3+32*x^2+25*x+65", "y^2=17*x^6+54*x^5+61*x^4+16*x^3+11*x^2+33*x+29", "y^2=33*x^6+17*x^5+42*x^4+34*x^3+47*x^2+52*x+10", "y^2=18*x^6+48*x^5+10*x^4+25*x^3+45*x^2+9*x+70", "y^2=x^6+x^3+59", "y^2=3*x^6+24*x^5+15*x^4+29*x^3+22*x^2+42*x+11", "y^2=65*x^6+19*x^5+65*x^4+15*x^3+60*x^2+54*x+36", "y^2=9*x^6+58*x^5+61*x^4+63*x^3+32*x^2+49*x+33", "y^2=36*x^6+41*x^5+33*x^4+2*x^3+11*x^2+51*x+3", "y^2=39*x^6+3*x^5+18*x^4+14*x^3+6*x^2+2*x+21", "y^2=47*x^6+33*x^5+67*x^4+17*x^3+42*x^2+33*x+15", "y^2=45*x^6+18*x^5+43*x^4+48*x^3+10*x^2+18*x+34", "y^2=63*x^6+35*x^5+64*x^4+42*x^3+6*x^2+58*x+68", "y^2=15*x^6+32*x^5+22*x^4+10*x^3+42*x^2+51*x+50", "y^2=57*x^6+55*x^5+23*x^4+45*x^3+39*x^2+47*x+45", "y^2=44*x^6+30*x^5+19*x^4+31*x^3+60*x^2+45*x+31", "y^2=68*x^6+26*x^5+46*x^4+64*x^3+32*x^2+17*x+40", "y^2=45*x^6+63*x^5+8*x^4+54*x^3+53*x^2+66*x+41", "y^2=54*x^6+14*x^5+43*x^4+13*x^3+66*x^2+22*x+55", "y^2=6*x^5+22*x^4+8*x^3+19*x^2+45*x+31", "y^2=42*x^5+12*x^4+56*x^3+62*x^2+31*x+4", "y^2=21*x^6+62*x^5+66*x^4+61*x^3+32*x^2+60*x+14", "y^2=5*x^6+8*x^5+36*x^4+x^3+11*x^2+65*x+27", "y^2=2*x^6+2*x^5+49*x^4+59*x^3+3*x^2+41*x+40", "y^2=14*x^6+14*x^5+59*x^4+58*x^3+21*x^2+3*x+67", "y^2=66*x^6+9*x^5+15*x^4+50*x^3+29*x^2+51*x+63", "y^2=x^6+x^3+66", "y^2=53*x^6+10*x^5+12*x^4+9*x^3+41*x^2+20*x+12", "y^2=16*x^6+70*x^5+13*x^4+63*x^3+3*x^2+69*x+13", "y^2=18*x^6+36*x^5+17*x^4+39*x^3+22*x^2+29*x+10", "y^2=55*x^6+39*x^5+48*x^4+60*x^3+12*x^2+61*x+70", "y^2=67*x^6+12*x^5+55*x^4+40*x^3+32*x^2+10*x+17", "y^2=43*x^6+13*x^5+30*x^4+67*x^3+11*x^2+70*x+48", "y^2=11*x^6+44*x^5+41*x^4+63*x^3+4*x^2+62*x+50", "y^2=53*x^6+27*x^5+20*x^4+44*x^3+54*x^2+52", "y^2=53*x^6+7*x^5+51*x^4+14*x^3+21*x^2+29*x+37", "y^2=16*x^6+49*x^5+2*x^4+27*x^3+5*x^2+61*x+46", "y^2=4*x^6+6*x^5+2*x^4+2*x^3+11*x^2+61*x+67", "y^2=28*x^6+42*x^5+14*x^4+14*x^3+6*x^2+x+43", "y^2=11*x^6+50*x^5+58*x^4+30*x^3+24*x^2+6*x+53", "y^2=6*x^6+66*x^5+51*x^4+68*x^3+26*x^2+42*x+16", "y^2=47*x^6+25*x^5+11*x^4+45*x^3+40*x^2+19*x+15", "y^2=34*x^6+2*x^5+36*x^4+24*x^3+33*x^2+45*x+20", "y^2=25*x^6+14*x^5+39*x^4+26*x^3+18*x^2+31*x+69", "y^2=9*x^6+30*x^5+63*x^4+3*x^3+47*x^2+67*x+57", "y^2=63*x^6+68*x^5+15*x^4+21*x^3+45*x^2+43*x+44", "y^2=28*x^6+12*x^5+67*x^4+22*x^3+x^2+51*x+34", "y^2=54*x^6+13*x^5+43*x^4+12*x^3+7*x^2+2*x+25", "y^2=40*x^6+50*x^5+65*x^4+26*x^3+59*x^2+43*x+54", "y^2=67*x^6+66*x^5+29*x^4+40*x^3+58*x^2+17*x+23", "y^2=3*x^6+41*x^5+31*x^4+13*x^3+3*x^2+55*x+50", "y^2=21*x^6+3*x^5+4*x^4+20*x^3+21*x^2+30*x+66", "y^2=13*x^6+59*x^4+4*x^3+8*x^2+9*x+46", "y^2=20*x^6+58*x^4+28*x^3+56*x^2+63*x+38", "y^2=12*x^6+53*x^4+14*x^3+8*x^2+11*x+60", "y^2=13*x^6+16*x^4+27*x^3+56*x^2+6*x+65", "y^2=46*x^6+54*x^5+6*x^4+3*x^3+49*x^2+26*x+31", "y^2=38*x^6+23*x^5+42*x^4+21*x^3+59*x^2+40*x+4", "y^2=62*x^6+9*x^5+26*x^4+58*x^3+12*x^2+12*x+60", "y^2=46*x^6+28*x^5+25*x^4+35*x^3+28*x^2+58*x+26", "y^2=38*x^6+54*x^5+33*x^4+32*x^3+54*x^2+51*x+40", "y^2=46*x^6+64*x^5+65*x^4+27*x^3+8*x^2+50*x+30", "y^2=38*x^6+22*x^5+29*x^4+47*x^3+56*x^2+66*x+68", "y^2=25*x^6+49*x^5+x^4+42*x^3+55*x^2+65*x+53", "y^2=33*x^6+59*x^5+7*x^4+10*x^3+30*x^2+29*x+16", "y^2=34*x^6+42*x^5+40*x^4+23*x^3+26*x^2+4*x+44", "y^2=25*x^6+10*x^5+67*x^4+19*x^3+40*x^2+28*x+24", "y^2=33*x^6+54*x^5+13*x^4+32*x^3+67*x^2+21*x+41", "y^2=18*x^6+23*x^5+20*x^4+11*x^3+43*x^2+5*x+3", "y^2=65*x^6+33*x^5+52*x^4+48*x^3+9*x^2+61*x+20", "y^2=29*x^6+18*x^5+9*x^4+52*x^3+63*x^2+x+69", "y^2=4*x^6+39*x^5+50*x^4+26*x^3+17*x^2+29*x+70", "y^2=49*x^6+68*x^5+49*x^4+57*x^3+64*x^2+33*x+8", "y^2=59*x^6+50*x^5+59*x^4+44*x^3+22*x^2+18*x+56", "y^2=64*x^6+6*x^5+59*x^4+36*x^3+36*x^2+9*x+58", "y^2=22*x^6+42*x^5+58*x^4+39*x^3+39*x^2+63*x+51", "y^2=5*x^6+37*x^5+54*x^4+9*x^3+66*x^2+43*x+70", "y^2=48*x^6+53*x^5+62*x^4+12*x^3+60*x^2+64*x", "y^2=52*x^6+16*x^5+8*x^4+13*x^3+65*x^2+22*x", "y^2=2*x^6+41*x^5+65*x^4+16*x^3+47*x^2+20*x+47", "y^2=14*x^6+3*x^5+29*x^4+41*x^3+45*x^2+69*x+45", "y^2=42*x^6+7*x^5+18*x^4+13*x^3+16*x^2+25*x+69", "y^2=10*x^6+49*x^5+55*x^4+20*x^3+41*x^2+33*x+57", "y^2=44*x^6+22*x^5+59*x^4+40*x^3+57*x^2+52*x+55", "y^2=24*x^6+12*x^5+58*x^4+67*x^3+44*x^2+9*x+30", "y^2=39*x^6+54*x^5+30*x^4+46*x^3+24*x^2+47*x+11", "y^2=60*x^6+23*x^5+68*x^4+38*x^3+26*x^2+45*x+6", "y^2=16*x^6+8*x^5+7*x^4+33*x^3+7*x^2+50*x+58", "y^2=41*x^6+56*x^5+49*x^4+18*x^3+49*x^2+66*x+51", "y^2=51*x^6+54*x^5+15*x^4+26*x^3+28*x^2+40*x+31", "y^2=2*x^6+23*x^5+34*x^4+40*x^3+54*x^2+67*x+4", "y^2=6*x^6+50*x^5+31*x^3+6*x^2+34*x+70", "y^2=42*x^6+66*x^5+4*x^3+42*x^2+25*x+64", "y^2=36*x^6+28*x^5+51*x^4+9*x^3+45*x^2+26*x+51", "y^2=39*x^6+54*x^5+2*x^4+63*x^3+31*x^2+40*x+2", "y^2=17*x^6+41*x^5+56*x^4+34*x^3+62*x^2+62*x+47", "y^2=48*x^6+3*x^5+37*x^4+25*x^3+8*x^2+8*x+45", "y^2=70*x^6+31*x^5+35*x^4+59*x^3+21*x^2+48*x+50", "y^2=64*x^6+4*x^5+32*x^4+58*x^3+5*x^2+52*x+66", "y^2=7*x^6+48*x^5+21*x^4+31*x^3+18*x^2+32*x+66", "y^2=49*x^6+52*x^5+5*x^4+4*x^3+55*x^2+11*x+36", "y^2=13*x^6+45*x^5+29*x^4+68*x^3+30*x^2+66*x+35", "y^2=20*x^6+31*x^5+61*x^4+50*x^3+68*x^2+36*x+32", "y^2=16*x^6+63*x^5+15*x^4+41*x^3+52*x^2+65*x+56", "y^2=41*x^6+15*x^5+34*x^4+3*x^3+9*x^2+29*x+37", "y^2=25*x^6+20*x^5+26*x^4+66*x^3+51*x^2+55*x+13", "y^2=33*x^6+69*x^5+40*x^4+36*x^3+2*x^2+30*x+20", "y^2=44*x^6+21*x^5+58*x^4+10*x^3+32*x^2+34*x+2", "y^2=24*x^6+5*x^5+51*x^4+70*x^3+11*x^2+25*x+14", "y^2=8*x^6+39*x^5+5*x^4+19*x^3+26*x^2+35*x+61", "y^2=x^6+x^3+17", "y^2=54*x^6+7*x^5+61*x^4+46*x^3+33*x^2+51*x+34", "y^2=51*x^6+19*x^5+23*x^4+24*x^3+27*x^2+49*x+15", "y^2=35*x^6+25*x^5+56*x^4+32*x^3+15*x^2+25*x+36", "y^2=10*x^6+43*x^5+18*x^4+69*x^3+66*x^2+34*x", "y^2=70*x^6+17*x^5+55*x^4+57*x^3+36*x^2+25*x", "y^2=43*x^6+24*x^5+32*x^4+10*x^3+51*x^2+43*x+31", "y^2=17*x^6+26*x^5+11*x^4+70*x^3+2*x^2+17*x+4", "y^2=30*x^6+46*x^5+63*x^3+41*x^2+12*x+5", "y^2=68*x^6+38*x^5+15*x^3+3*x^2+13*x+35", "y^2=12*x^6+48*x^5+11*x^4+17*x^3+16*x^2+40*x+31", "y^2=13*x^6+52*x^5+6*x^4+48*x^3+41*x^2+67*x+4", "y^2=16*x^6+7*x^5+43*x^4+48*x^3+9*x^2+25*x+24", "y^2=41*x^6+49*x^5+17*x^4+52*x^3+63*x^2+33*x+26", "y^2=60*x^6+24*x^5+x^4+69*x^3+66*x^2+2*x+49", "y^2=65*x^6+26*x^5+7*x^4+57*x^3+36*x^2+14*x+59", "y^2=59*x^6+47*x^5+43*x^4+32*x^3+46*x^2+35*x+54", "y^2=58*x^6+45*x^5+17*x^4+11*x^3+38*x^2+32*x+23", "y^2=11*x^6+22*x^5+19*x^4+27*x^3+70*x^2+61*x+49", "y^2=6*x^6+12*x^5+62*x^4+47*x^3+64*x^2+x+59", "y^2=49*x^6+35*x^5+21*x^4+67*x^3+58*x^2+14*x+3", "y^2=67*x^6+50*x^5+47*x^4+8*x^3+27*x^2+9*x+66", "y^2=43*x^6+66*x^5+45*x^4+56*x^3+47*x^2+63*x+36", "y^2=18*x^6+55*x^5+38*x^4+59*x^3+70*x^2+23*x+21", "y^2=47*x^6+41*x^5+19*x^4+68*x^3+7*x^2+x+27", "y^2=45*x^6+3*x^5+62*x^4+50*x^3+49*x^2+7*x+47", "y^2=43*x^6+70*x^5+41*x^4+9*x^3+12*x^2+68*x+62", "y^2=47*x^6+61*x^5+46*x^4+2*x^3+24*x^2+64*x+53", "y^2=45*x^6+x^5+38*x^4+14*x^3+26*x^2+22*x+16", "y^2=36*x^6+49*x^5+70*x^4+35*x^3+8*x^2+38*x+44", "y^2=39*x^6+59*x^5+64*x^4+32*x^3+56*x^2+53*x+24", "y^2=61*x^6+67*x^5+64*x^4+11*x^3+22*x^2+63*x+2", "y^2=x^6+43*x^5+22*x^4+6*x^3+12*x^2+15*x+14"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 28, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 2, "geometric_extension_degree": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.132.1"], "geometric_splitting_field": "2.0.132.1", "geometric_splitting_polynomials": [[33, 0, 1]], "group_structure_count": 4, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 696, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 696, "label": "2.71.a_bi", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.17424.2"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 34, 0, 5041], "poly_str": "1 0 34 0 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, 0, -108], "simple_distinct": ["2.71.a_bi"], "simple_factors": ["2.71.a_biA"], "simple_multiplicities": [1], "singular_primes": ["3,-2*V+1", "3,-F-3*V-4", "2,-2*F-3*V+1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.17424.2", "splitting_polynomials": [[33, 0, 1, -2, 1]], "twist_count": 4, "twists": [["2.71.a_abi", "2.25411681.bakq_kzosre", 4], ["2.71.as_gx", "2.16409682740640811134241.hqsidngu_udjczhcwpipsqqty", 12], ["2.71.s_gx", "2.16409682740640811134241.hqsidngu_udjczhcwpipsqqty", 12]], "weak_equivalence_count": 28, "zfv_index": 576, "zfv_index_factorization": [[2, 6], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 6, "zfv_plus_index_factorization": [[2, 1], [3, 1]], "zfv_plus_norm": 30976, "zfv_singular_count": 6, "zfv_singular_primes": ["3,-2*V+1", "3,-F-3*V-4", "2,-2*F-3*V+1"]}