# Stored data for abelian variety isogeny class 2.83.a_aw, downloaded from the LMFDB on 11 July 2026.
{"abvar_count": 6868, "abvar_counts": [6868, 47169424, 326940817396, 2253554325651456, 15516041182347054868, 106890298079564616220816, 736365263311680006201507892, 5072819930416729534512186261504, 34946659039493167042857080069221204, 240747533972289792372723595033402497424], "abvar_counts_str": "6868 47169424 326940817396 2253554325651456 15516041182347054868 106890298079564616220816 736365263311680006201507892 5072819930416729534512186261504 34946659039493167042857080069221204 240747533972289792372723595033402497424 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.22884493646906, 0.77115506353094], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 84, "curve_counts": [84, 6846, 571788, 47484910, 3939040644, 326941261422, 27136050989628, 2252292068511454, 186940255267540404, 15516041177488256286], "curve_counts_str": "84 6846 571788 47484910 3939040644 326941261422 27136050989628 2252292068511454 186940255267540404 15516041177488256286 ", "curves": ["y^2=61*x^6+66*x^5+63*x^4+50*x^3+19*x^2+42*x+36", "y^2=39*x^6+49*x^5+43*x^4+17*x^3+38*x^2+x+72", "y^2=71*x^6+62*x^5+67*x^4+8*x^3+75*x^2+16*x+42", "y^2=59*x^6+41*x^5+51*x^4+16*x^3+67*x^2+32*x+1", "y^2=44*x^6+79*x^5+43*x^4+69*x^3+7*x^2+37*x+78", "y^2=5*x^6+75*x^5+3*x^4+55*x^3+14*x^2+74*x+73", "y^2=63*x^6+41*x^5+20*x^4+2*x^3+6*x^2+47*x+13", "y^2=20*x^6+21*x^5+9*x^4+48*x^3+49*x^2+62*x+37", "y^2=40*x^6+42*x^5+18*x^4+13*x^3+15*x^2+41*x+74", "y^2=34*x^6+12*x^5+11*x^4+18*x^3+63*x^2+x+45", "y^2=68*x^6+24*x^5+22*x^4+36*x^3+43*x^2+2*x+7", "y^2=27*x^6+56*x^5+14*x^4+2*x^3+60*x^2+49*x+24", "y^2=54*x^6+29*x^5+28*x^4+4*x^3+37*x^2+15*x+48", "y^2=12*x^6+11*x^5+34*x^4+81*x^3+54*x^2+58*x+38", "y^2=24*x^6+22*x^5+68*x^4+79*x^3+25*x^2+33*x+76", "y^2=59*x^6+41*x^5+3*x^4+74*x^3+73*x^2+26*x+47", "y^2=56*x^6+76*x^5+82*x^4+66*x^3+16*x^2+15*x+53", "y^2=29*x^6+69*x^5+81*x^4+49*x^3+32*x^2+30*x+23", "y^2=23*x^6+66*x^5+65*x^4+50*x^3+26*x^2+81*x+65", "y^2=51*x^6+63*x^5+47*x^4+67*x^2+6*x+40", "y^2=67*x^6+51*x^5+57*x^4+56*x^3+80*x^2+14*x+8", "y^2=51*x^6+19*x^5+31*x^4+29*x^3+77*x^2+28*x+16", "y^2=41*x^6+45*x^5+51*x^4+32*x^3+11*x^2+73*x+20", "y^2=82*x^6+7*x^5+19*x^4+64*x^3+22*x^2+63*x+40", "y^2=7*x^6+63*x^5+17*x^4+37*x^3+40*x+33", "y^2=14*x^6+43*x^5+34*x^4+74*x^3+80*x+66", "y^2=15*x^6+20*x^5+52*x^4+21*x^3+72*x^2+36*x+48", "y^2=30*x^6+40*x^5+21*x^4+42*x^3+61*x^2+72*x+13", "y^2=72*x^6+36*x^5+38*x^4+55*x^3+22*x^2+41*x+41", "y^2=34*x^6+52*x^5+54*x^4+23*x^3+65*x^2+17*x+74", "y^2=26*x^6+47*x^5+14*x^4+70*x^3+17*x^2+35*x+50", "y^2=13*x^6+81*x^5+36*x^4+28*x^3+38*x^2+8*x+81", "y^2=26*x^6+79*x^5+72*x^4+56*x^3+76*x^2+16*x+79", "y^2=20*x^6+76*x^5+26*x^4+51*x^3+38*x^2+65", "y^2=40*x^6+69*x^5+52*x^4+19*x^3+76*x^2+47", "y^2=63*x^6+44*x^5+8*x^4+11*x^3+47*x^2+36*x+28", "y^2=43*x^6+5*x^5+16*x^4+22*x^3+11*x^2+72*x+56", "y^2=38*x^6+36*x^5+70*x^4+71*x^3+66*x^2+30", "y^2=76*x^6+72*x^5+57*x^4+59*x^3+49*x^2+60", "y^2=73*x^6+29*x^5+23*x^4+80*x^3+9*x^2+48*x+65", "y^2=63*x^6+58*x^5+46*x^4+77*x^3+18*x^2+13*x+47", "y^2=31*x^6+31*x^5+7*x^4+47*x^3+80*x^2+68*x+9", "y^2=62*x^6+62*x^5+14*x^4+11*x^3+77*x^2+53*x+18", "y^2=2*x^6+27*x^5+33*x^4+82*x^3+53*x^2+23*x+25", "y^2=15*x^6+72*x^5+28*x^4+73*x^3+9*x^2+27*x+56", "y^2=30*x^6+61*x^5+56*x^4+63*x^3+18*x^2+54*x+29", "y^2=42*x^6+44*x^5+38*x^4+11*x^3+31*x^2+25*x+28", "y^2=x^6+5*x^5+76*x^4+22*x^3+62*x^2+50*x+56", "y^2=60*x^6+55*x^5+74*x^4+39*x^3+13*x^2+20*x+65", "y^2=31*x^6+31*x^5+31*x^4+4*x^3+17*x^2+66*x+57", "y^2=62*x^6+62*x^5+62*x^4+8*x^3+34*x^2+49*x+31", "y^2=43*x^6+28*x^5+74*x^4+64*x^3+71*x^2+65*x+24", "y^2=41*x^6+27*x^5+40*x^4+43*x^3+66*x^2+11*x+79", "y^2=82*x^6+54*x^5+80*x^4+3*x^3+49*x^2+22*x+75", "y^2=74*x^6+38*x^5+70*x^4+x^3+48*x^2+4*x+22", "y^2=65*x^6+76*x^5+57*x^4+2*x^3+13*x^2+8*x+44", "y^2=49*x^6+24*x^5+67*x^4+26*x^3+10*x^2+10*x+29", "y^2=15*x^6+48*x^5+51*x^4+52*x^3+20*x^2+20*x+58", "y^2=56*x^6+73*x^5+72*x^4+76*x^3+28*x^2+74*x+11", "y^2=29*x^6+63*x^5+61*x^4+69*x^3+56*x^2+65*x+22", "y^2=30*x^6+55*x^5+15*x^4+17*x^3+55*x^2+6*x+3", "y^2=60*x^6+27*x^5+30*x^4+34*x^3+27*x^2+12*x+6", "y^2=17*x^6+58*x^5+34*x^4+x^3+22*x^2+50*x+17", "y^2=34*x^6+33*x^5+68*x^4+2*x^3+44*x^2+17*x+34", "y^2=70*x^6+27*x^5+x^4+78*x^3+74*x^2+61*x+23", "y^2=29*x^6+24*x^5+72*x^4+6*x^3+70*x^2+40*x+78", "y^2=52*x^6+8*x^5+27*x^4+62*x^3+31*x^2+6*x+11", "y^2=21*x^6+16*x^5+54*x^4+41*x^3+62*x^2+12*x+22", "y^2=4*x^6+20*x^5+57*x^4+12*x^3+68*x^2+43*x+72", "y^2=36*x^6+7*x^5+24*x^4+3*x^3+30*x^2+19*x+39", "y^2=72*x^6+14*x^5+48*x^4+6*x^3+60*x^2+38*x+78", "y^2=32*x^6+x^5+71*x^4+28*x^3+41*x^2+2*x+60", "y^2=64*x^6+2*x^5+59*x^4+56*x^3+82*x^2+4*x+37", "y^2=54*x^6+38*x^5+46*x^4+2*x^3+17*x^2+34*x+67", "y^2=25*x^6+76*x^5+9*x^4+4*x^3+34*x^2+68*x+51", "y^2=x^6+61*x^5+17*x^4+41*x^2+24*x+59", "y^2=67*x^6+80*x^5+71*x^4+17*x^3+25*x^2+27*x+62", "y^2=51*x^6+77*x^5+59*x^4+34*x^3+50*x^2+54*x+41", "y^2=81*x^6+68*x^5+44*x^4+7*x^3+6*x^2+63*x+60", "y^2=74*x^6+70*x^5+33*x^4+70*x^3+76*x^2+11*x+75", "y^2=50*x^6+63*x^5+69*x^4+27*x^3+5*x^2+58*x+34", "y^2=17*x^6+43*x^5+55*x^4+54*x^3+10*x^2+33*x+68", "y^2=14*x^6+11*x^5+14*x^4+64*x^2+58*x+47", "y^2=28*x^6+22*x^5+28*x^4+45*x^2+33*x+11", "y^2=62*x^6+3*x^5+63*x^4+12*x^3+9*x^2+15*x+71", "y^2=41*x^6+6*x^5+43*x^4+24*x^3+18*x^2+30*x+59", "y^2=31*x^6+25*x^5+5*x^4+45*x^2+50*x+23", "y^2=23*x^6+2*x^5+79*x^4+36*x^3+74*x^2+41*x+11", "y^2=46*x^6+4*x^5+75*x^4+72*x^3+65*x^2+82*x+22", "y^2=37*x^6+79*x^5+12*x^4+14*x^3+19*x^2+12*x+33", "y^2=79*x^6+48*x^5+17*x^4+36*x^3+15*x^2+19*x+81", "y^2=75*x^6+13*x^5+34*x^4+72*x^3+30*x^2+38*x+79", "y^2=73*x^6+44*x^5+8*x^4+80*x^3+65*x^2+18*x+41", "y^2=63*x^6+5*x^5+16*x^4+77*x^3+47*x^2+36*x+82", "y^2=46*x^6+12*x^5+45*x^4+68*x^3+35*x^2+79*x+6", "y^2=9*x^6+24*x^5+7*x^4+53*x^3+70*x^2+75*x+12", "y^2=49*x^6+73*x^5+22*x^4+53*x^3+24*x^2+3*x+25", "y^2=15*x^6+63*x^5+44*x^4+23*x^3+48*x^2+6*x+50", "y^2=42*x^6+75*x^5+x^4+66*x^3+82*x^2+81*x+81", "y^2=x^6+67*x^5+2*x^4+49*x^3+81*x^2+79*x+79", "y^2=42*x^6+23*x^5+73*x^3+38*x^2+30*x+53", "y^2=x^6+46*x^5+63*x^3+76*x^2+60*x+23", "y^2=64*x^6+58*x^5+49*x^4+60*x^3+x^2+58*x+8", "y^2=75*x^6+65*x^5+33*x^4+26*x^3+50*x^2+11*x+33", "y^2=67*x^6+47*x^5+66*x^4+52*x^3+17*x^2+22*x+66", "y^2=38*x^6+10*x^5+46*x^4+39*x^3+6*x^2+30*x+51", "y^2=76*x^6+20*x^5+9*x^4+78*x^3+12*x^2+60*x+19", "y^2=3*x^6+38*x^5+56*x^4+37*x^3+45*x^2+82*x+36", "y^2=6*x^6+76*x^5+29*x^4+74*x^3+7*x^2+81*x+72", "y^2=63*x^6+36*x^5+70*x^4+30*x^2+73*x+49", "y^2=17*x^6+40*x^5+34*x^4+82*x^2+62*x+7", "y^2=29*x^6+67*x^5+44*x^4+47*x^3+12*x+26", "y^2=58*x^6+51*x^5+5*x^4+11*x^3+24*x+52", "y^2=23*x^6+16*x^5+76*x^4+2*x^3+30*x^2+11*x+76", "y^2=56*x^6+39*x^5+43*x^4+30*x^3+52*x^2+27*x+37", "y^2=29*x^6+78*x^5+3*x^4+60*x^3+21*x^2+54*x+74", "y^2=13*x^6+25*x^5+74*x^4+58*x^3+66*x^2+81*x+36", "y^2=26*x^6+50*x^5+65*x^4+33*x^3+49*x^2+79*x+72", "y^2=32*x^6+5*x^5+78*x^4+54*x^3+59*x^2+76*x+41", "y^2=64*x^6+10*x^5+73*x^4+25*x^3+35*x^2+69*x+82", "y^2=68*x^6+51*x^5+71*x^4+30*x^3+31*x^2+54*x+21", "y^2=53*x^6+19*x^5+59*x^4+60*x^3+62*x^2+25*x+42", "y^2=46*x^6+8*x^5+2*x^4+73*x^3+43*x^2+9*x+61", "y^2=9*x^6+16*x^5+4*x^4+63*x^3+3*x^2+18*x+39", "y^2=5*x^6+29*x^5+45*x^4+55*x^3+48*x^2+78*x+63", "y^2=18*x^6+48*x^5+74*x^4+53*x^3+82*x^2+36*x+75", "y^2=36*x^6+13*x^5+65*x^4+23*x^3+81*x^2+72*x+67", "y^2=42*x^6+71*x^5+21*x^4+8*x^3+42*x^2+30*x+19", "y^2=x^6+59*x^5+42*x^4+16*x^3+x^2+60*x+38", "y^2=32*x^6+37*x^5+69*x^4+39*x^3+10*x^2+82*x+4", "y^2=64*x^6+74*x^5+55*x^4+78*x^3+20*x^2+81*x+8", "y^2=77*x^6+40*x^5+29*x^4+42*x^3+19*x^2+3*x+65", "y^2=71*x^6+80*x^5+58*x^4+x^3+38*x^2+6*x+47", "y^2=65*x^6+44*x^5+81*x^4+24*x^3+61*x^2+42*x+69", "y^2=47*x^6+5*x^5+79*x^4+48*x^3+39*x^2+x+55", "y^2=x^6+7*x^5+47*x^4+41*x^3+46*x^2+56*x+5", "y^2=2*x^6+14*x^5+11*x^4+82*x^3+9*x^2+29*x+10", "y^2=18*x^6+65*x^5+63*x^4+5*x^3+50*x^2+32*x+17", "y^2=36*x^6+47*x^5+43*x^4+10*x^3+17*x^2+64*x+34", "y^2=29*x^6+24*x^5+3*x^4+48*x^3+22*x^2+18*x+35", "y^2=68*x^6+62*x^5+2*x^4+8*x^3+81*x^2+62*x+15", "y^2=63*x^6+x^5+51*x^4+70*x^3+49*x^2+22*x+12", "y^2=43*x^6+2*x^5+19*x^4+57*x^3+15*x^2+44*x+24", "y^2=81*x^6+34*x^5+77*x^4+54*x^3+14*x^2+56*x+50", "y^2=44*x^6+23*x^5+27*x^4+4*x^2+2*x+41", "y^2=60*x^6+40*x^5+35*x^4+82*x^3+72*x^2+44*x+28", "y^2=37*x^6+80*x^5+70*x^4+81*x^3+61*x^2+5*x+56", "y^2=36*x^6+25*x^5+24*x^4+11*x^3+10*x^2+81*x+32", "y^2=5*x^6+80*x^5+75*x^4+3*x^3+46*x^2+72*x+26", "y^2=28*x^6+48*x^5+66*x^4+46*x^3+61*x^2+33*x+42", "y^2=67*x^6+12*x^5+17*x^4+50*x^3+17*x^2+74*x+65", "y^2=51*x^6+24*x^5+34*x^4+17*x^3+34*x^2+65*x+47", "y^2=73*x^6+14*x^5+2*x^4+6*x^3+81*x^2+14*x+10", "y^2=19*x^6+64*x^5+73*x^4+78*x^3+72*x^2+3*x+45", "y^2=38*x^6+45*x^5+63*x^4+73*x^3+61*x^2+6*x+7", "y^2=55*x^6+32*x^5+74*x^4+54*x^3+37*x^2+20*x+77", "y^2=27*x^6+64*x^5+65*x^4+25*x^3+74*x^2+40*x+71", "y^2=65*x^6+66*x^4+53*x^3+22*x^2+2*x+72", "y^2=47*x^6+49*x^4+23*x^3+44*x^2+4*x+61", "y^2=54*x^6+81*x^5+34*x^4+44*x^3+15*x^2+79*x+73", "y^2=25*x^6+79*x^5+68*x^4+5*x^3+30*x^2+75*x+63", "y^2=25*x^6+53*x^5+x^4+32*x^3+22*x^2+37*x+65", "y^2=50*x^6+23*x^5+2*x^4+64*x^3+44*x^2+74*x+47", "y^2=80*x^6+18*x^5+31*x^4+34*x^3+62*x^2+40*x+73", "y^2=77*x^6+36*x^5+62*x^4+68*x^3+41*x^2+80*x+63", "y^2=42*x^6+38*x^5+80*x^4+6*x^3+73*x^2+51*x+35", "y^2=31*x^6+69*x^5+71*x^4+16*x^3+7*x^2+x+67", "y^2=19*x^6+53*x^5+27*x^4+29*x^3+14*x^2+69*x+26", "y^2=38*x^6+23*x^5+54*x^4+58*x^3+28*x^2+55*x+52", "y^2=3*x^6+14*x^5+59*x^4+4*x^3+52*x^2+21*x+46", "y^2=6*x^6+28*x^5+35*x^4+8*x^3+21*x^2+42*x+9", "y^2=60*x^6+48*x^5+79*x^4+52*x^3+60*x^2+13*x+58", "y^2=37*x^6+13*x^5+75*x^4+21*x^3+37*x^2+26*x+33", "y^2=8*x^6+41*x^5+82*x^4+31*x^3+12*x^2+7*x+66", "y^2=3*x^6+63*x^5+71*x^4+76*x^3+17*x^2+44*x+39", "y^2=6*x^6+43*x^5+59*x^4+69*x^3+34*x^2+5*x+78", "y^2=52*x^6+14*x^5+17*x^4+27*x^3+10*x^2+33*x+76", "y^2=21*x^6+28*x^5+34*x^4+54*x^3+20*x^2+66*x+69", "y^2=13*x^6+6*x^5+28*x^4+42*x^3+59*x^2+28*x+38", "y^2=26*x^6+12*x^5+56*x^4+x^3+35*x^2+56*x+76", "y^2=67*x^6+33*x^5+81*x^4+58*x^3+13*x^2+29*x+7", "y^2=51*x^6+66*x^5+79*x^4+33*x^3+26*x^2+58*x+14", "y^2=81*x^6+54*x^5+9*x^4+75*x^3+75*x^2+8*x+44", "y^2=79*x^6+25*x^5+18*x^4+67*x^3+67*x^2+16*x+5", "y^2=61*x^6+37*x^5+64*x^4+56*x^3+73*x^2+36*x+14", "y^2=54*x^6+81*x^5+52*x^4+50*x^3+50*x^2+x+19", "y^2=25*x^6+79*x^5+21*x^4+17*x^3+17*x^2+2*x+38", "y^2=19*x^6+51*x^5+37*x^4+54*x^3+78*x^2+34*x+66", "y^2=38*x^6+19*x^5+74*x^4+25*x^3+73*x^2+68*x+49", "y^2=74*x^6+13*x^5+27*x^4+69*x^3+28*x^2+18*x+35", "y^2=65*x^6+26*x^5+54*x^4+55*x^3+56*x^2+36*x+70", "y^2=2*x^6+77*x^5+77*x^4+13*x^3+42*x^2+6*x+59", "y^2=4*x^6+71*x^5+71*x^4+26*x^3+x^2+12*x+35", "y^2=21*x^6+38*x^5+36*x^4+18*x^3+81*x^2+77*x+34", "y^2=42*x^6+76*x^5+72*x^4+36*x^3+79*x^2+71*x+68", "y^2=41*x^6+75*x^5+10*x^4+73*x^3+43*x^2+31*x+44", "y^2=82*x^6+67*x^5+20*x^4+63*x^3+3*x^2+62*x+5", "y^2=10*x^5+60*x^4+x^3+8*x^2+30*x+2", "y^2=20*x^5+37*x^4+2*x^3+16*x^2+60*x+4", "y^2=57*x^6+32*x^5+79*x^4+4*x^3+64*x^2+75*x+20", "y^2=31*x^6+64*x^5+75*x^4+8*x^3+45*x^2+67*x+40", "y^2=45*x^6+10*x^5+73*x^4+79*x^3+56*x^2+39*x+56", "y^2=5*x^6+29*x^5+66*x^4+69*x^3+54*x^2+71*x+36", "y^2=63*x^6+72*x^5+37*x^4+36*x^3+52*x^2+82*x+62", "y^2=43*x^6+61*x^5+74*x^4+72*x^3+21*x^2+81*x+41", "y^2=73*x^6+27*x^5+12*x^4+79*x^3+44*x^2+70*x", "y^2=63*x^6+54*x^5+24*x^4+75*x^3+5*x^2+57*x", "y^2=28*x^6+6*x^5+30*x^4+18*x^3+71*x^2+74*x+50", "y^2=76*x^6+34*x^5+16*x^4+15*x^3+66*x+57", "y^2=69*x^6+68*x^5+32*x^4+30*x^3+49*x+31", "y^2=73*x^6+45*x^5+22*x^4+42*x^3+30*x^2+17*x+38", "y^2=63*x^6+7*x^5+44*x^4+x^3+60*x^2+34*x+76", "y^2=64*x^6+74*x^5+65*x^4+70*x^3+6*x^2+30*x+4", "y^2=45*x^6+65*x^5+47*x^4+57*x^3+12*x^2+60*x+8", "y^2=35*x^6+12*x^5+46*x^4+25*x^3+14*x^2+48*x+41", "y^2=70*x^6+24*x^5+9*x^4+50*x^3+28*x^2+13*x+82", "y^2=80*x^6+42*x^5+14*x^4+45*x^3+52*x^2+17*x+80", "y^2=77*x^6+x^5+28*x^4+7*x^3+21*x^2+34*x+77", "y^2=38*x^6+10*x^5+37*x^4+60*x^3+30*x^2+41*x+73", "y^2=76*x^6+20*x^5+74*x^4+37*x^3+60*x^2+82*x+63", "y^2=6*x^6+67*x^5+73*x^4+20*x^3+80*x^2+41*x+43", "y^2=12*x^6+51*x^5+63*x^4+40*x^3+77*x^2+82*x+3", "y^2=19*x^6+43*x^5+56*x^4+61*x^3+75*x^2+50*x+36", "y^2=20*x^6+62*x^5+51*x^4+22*x^3+54*x^2+63*x+63", "y^2=40*x^6+41*x^5+19*x^4+44*x^3+25*x^2+43*x+43", "y^2=66*x^6+46*x^5+73*x^4+70*x^3+52*x^2+75*x+65", "y^2=49*x^6+9*x^5+63*x^4+57*x^3+21*x^2+67*x+47", "y^2=32*x^6+30*x^5+60*x^4+31*x^3+13*x^2+38*x+16", "y^2=64*x^6+60*x^5+37*x^4+62*x^3+26*x^2+76*x+32", "y^2=35*x^6+77*x^5+51*x^4+42*x^3+45*x^2+55*x+67", "y^2=70*x^6+71*x^5+19*x^4+x^3+7*x^2+27*x+51", "y^2=6*x^6+82*x^5+19*x^4+3*x^3+20*x^2+11*x+44", "y^2=12*x^6+81*x^5+38*x^4+6*x^3+40*x^2+22*x+5", "y^2=25*x^6+54*x^5+28*x^4+35*x^3+72*x^2+53*x+62", "y^2=50*x^6+25*x^5+56*x^4+70*x^3+61*x^2+23*x+41", "y^2=31*x^6+10*x^5+43*x^4+33*x^3+44*x^2+x+29", "y^2=62*x^6+20*x^5+3*x^4+66*x^3+5*x^2+2*x+58", "y^2=x^6+11*x^5+x^4+28*x^2+8*x+40", "y^2=23*x^6+2*x^5+16*x^4+51*x^3+66*x^2+75*x+37", "y^2=46*x^6+4*x^5+32*x^4+19*x^3+49*x^2+67*x+74", "y^2=38*x^6+24*x^5+17*x^4+52*x^3+40*x^2+60*x+4", "y^2=76*x^6+48*x^5+34*x^4+21*x^3+80*x^2+37*x+8", "y^2=40*x^6+63*x^5+50*x^4+63*x^2+38*x+3", "y^2=63*x^6+53*x^5+9*x^4+12*x^3+79*x^2+53*x+18", "y^2=43*x^6+23*x^5+18*x^4+24*x^3+75*x^2+23*x+36", "y^2=67*x^6+40*x^5+46*x^4+41*x^3+55*x^2+59*x+41", "y^2=51*x^6+80*x^5+9*x^4+82*x^3+27*x^2+35*x+82", "y^2=52*x^6+29*x^5+12*x^4+67*x^3+77*x^2+25*x+51", "y^2=21*x^6+58*x^5+24*x^4+51*x^3+71*x^2+50*x+19", "y^2=41*x^6+71*x^5+30*x^4+23*x^3+43*x^2+21*x+12", "y^2=82*x^6+59*x^5+60*x^4+46*x^3+3*x^2+42*x+24", "y^2=53*x^6+78*x^5+23*x^4+63*x^2+74*x+24", "y^2=23*x^6+73*x^5+46*x^4+43*x^2+65*x+48", "y^2=60*x^6+19*x^5+80*x^4+17*x^3+74*x^2+28*x+43", "y^2=37*x^6+38*x^5+77*x^4+34*x^3+65*x^2+56*x+3", "y^2=24*x^6+9*x^5+14*x^4+19*x^3+71*x^2+43*x+17", "y^2=31*x^6+17*x^5+67*x^4+65*x^3+7*x^2+38*x+8", "y^2=48*x^6+27*x^5+42*x^4+45*x^3+23*x^2+64*x+20", "y^2=13*x^6+54*x^5+x^4+7*x^3+46*x^2+45*x+40", "y^2=59*x^6+8*x^5+20*x^4+43*x^3+44*x^2+4*x+6", "y^2=35*x^6+16*x^5+40*x^4+3*x^3+5*x^2+8*x+12", "y^2=28*x^6+20*x^5+21*x^4+24*x^2+58*x+5", "y^2=56*x^6+40*x^5+42*x^4+48*x^2+33*x+10", "y^2=74*x^6+32*x^5+81*x^4+78*x^3+54*x^2+48*x+30", "y^2=65*x^6+64*x^5+79*x^4+73*x^3+25*x^2+13*x+60", "y^2=16*x^6+49*x^5+12*x^4+49*x^3+44*x^2+28*x+70", "y^2=32*x^6+15*x^5+24*x^4+15*x^3+5*x^2+56*x+57", "y^2=46*x^6+54*x^5+29*x^4+48*x^3+17*x^2+23*x+18", "y^2=10*x^6+23*x^5+6*x^4+60*x^3+65*x^2+41*x+62", "y^2=15*x^6+41*x^5+33*x^4+70*x^3+45*x^2+49*x+31", "y^2=30*x^6+82*x^5+66*x^4+57*x^3+7*x^2+15*x+62", "y^2=50*x^6+71*x^5+37*x^4+53*x^3+72*x^2+65*x+2", "y^2=75*x^6+73*x^5+17*x^4+82*x^3+72*x^2+44*x+30", "y^2=67*x^6+63*x^5+34*x^4+81*x^3+61*x^2+5*x+60", "y^2=5*x^6+52*x^5+12*x^4+5*x^3+76*x^2+9*x+51", "y^2=10*x^6+21*x^5+24*x^4+10*x^3+69*x^2+18*x+19", "y^2=52*x^6+13*x^5+82*x^4+48*x^3+79*x^2+52*x+79", "y^2=21*x^6+26*x^5+81*x^4+13*x^3+75*x^2+21*x+75", "y^2=14*x^6+41*x^5+47*x^4+73*x^3+40*x^2+54*x+35", "y^2=28*x^6+82*x^5+11*x^4+63*x^3+80*x^2+25*x+70", "y^2=72*x^6+47*x^5+81*x^4+59*x^3+76*x^2+38*x+24", "y^2=61*x^6+11*x^5+79*x^4+35*x^3+69*x^2+76*x+48", "y^2=38*x^6+24*x^5+42*x^4+63*x^3+60*x^2+51*x+42", "y^2=76*x^6+48*x^5+x^4+43*x^3+37*x^2+19*x+1", "y^2=29*x^6+4*x^5+32*x^4+79*x^3+24*x^2+25*x+69", "y^2=58*x^6+8*x^5+64*x^4+75*x^3+48*x^2+50*x+55", "y^2=7*x^6+75*x^5+79*x^4+20*x^3+79*x^2+47*x+29", "y^2=14*x^6+67*x^5+75*x^4+40*x^3+75*x^2+11*x+58", "y^2=43*x^6+67*x^5+3*x^4+8*x^3+72*x^2+75*x+81", "y^2=5*x^6+62*x^5+2*x^4+62*x^3+24*x^2+54*x+43", "y^2=21*x^6+41*x^5+68*x^4+61*x^2+66*x+65", "y^2=7*x^6+3*x^5+52*x^4+14*x^3+26*x^2+31*x+55", "y^2=14*x^6+6*x^5+21*x^4+28*x^3+52*x^2+62*x+27", "y^2=59*x^6+46*x^5+44*x^4+2*x^3+63*x^2+4*x+4", "y^2=35*x^6+9*x^5+5*x^4+4*x^3+43*x^2+8*x+8", "y^2=41*x^6+28*x^5+8*x^4+8*x^3+44*x^2+17*x+5", "y^2=32*x^6+7*x^5+59*x^4+22*x^3+40*x^2+55*x+77", "y^2=64*x^6+14*x^5+35*x^4+44*x^3+80*x^2+27*x+71", "y^2=8*x^6+6*x^5+50*x^4+52*x^3+15*x^2+25*x+67", "y^2=16*x^6+12*x^5+17*x^4+21*x^3+30*x^2+50*x+51", "y^2=54*x^6+47*x^5+35*x^4+75*x^3+8*x^2+76*x+79", "y^2=25*x^6+11*x^5+70*x^4+67*x^3+16*x^2+69*x+75", "y^2=63*x^6+16*x^5+12*x^4+39*x^3+8*x^2+40*x+66", "y^2=43*x^6+32*x^5+24*x^4+78*x^3+16*x^2+80*x+49", "y^2=9*x^6+28*x^5+60*x^4+79*x^3+5*x^2+26*x+1", "y^2=18*x^6+56*x^5+37*x^4+75*x^3+10*x^2+52*x+2", "y^2=56*x^6+78*x^5+63*x^4+76*x^3+42*x^2+7*x+75", "y^2=61*x^6+44*x^4+82*x^3+63*x^2+62*x+71", "y^2=54*x^6+28*x^5+36*x^4+30*x^3+53*x^2+3*x+26", "y^2=25*x^6+56*x^5+72*x^4+60*x^3+23*x^2+6*x+52", "y^2=31*x^6+10*x^5+15*x^4+34*x^3+46*x^2+5*x+50", "y^2=62*x^6+20*x^5+30*x^4+68*x^3+9*x^2+10*x+17", "y^2=53*x^6+64*x^5+26*x^4+25*x^3+30*x^2+46*x+16", "y^2=23*x^6+45*x^5+52*x^4+50*x^3+60*x^2+9*x+32", "y^2=65*x^6+24*x^5+49*x^4+69*x^3+82*x^2+72*x+12", "y^2=47*x^6+48*x^5+15*x^4+55*x^3+81*x^2+61*x+24", "y^2=59*x^6+74*x^5+37*x^4+60*x^3+54*x^2+30*x+42", "y^2=35*x^6+65*x^5+74*x^4+37*x^3+25*x^2+60*x+1", "y^2=57*x^6+59*x^5+60*x^4+64*x^3+5*x^2+59*x+77", "y^2=31*x^6+35*x^5+37*x^4+45*x^3+10*x^2+35*x+71", "y^2=61*x^6+33*x^5+69*x^4+79*x^3+9*x^2+49*x+14", "y^2=39*x^6+66*x^5+55*x^4+75*x^3+18*x^2+15*x+28", "y^2=41*x^6+17*x^5+66*x^4+65*x^3+54*x^2+45*x+29", "y^2=82*x^6+34*x^5+49*x^4+47*x^3+25*x^2+7*x+58", "y^2=51*x^6+18*x^5+8*x^4+50*x^3+33*x+68", "y^2=19*x^6+36*x^5+16*x^4+17*x^3+66*x+53", "y^2=19*x^6+20*x^5+51*x^4+33*x^3+50*x^2+19*x+12", "y^2=75*x^6+69*x^5+15*x^4+6*x^3+7*x^2+77*x+15", "y^2=9*x^6+48*x^5+27*x^4+43*x^3+30*x^2+57*x+70", "y^2=18*x^6+13*x^5+54*x^4+3*x^3+60*x^2+31*x+57", "y^2=34*x^6+49*x^5+49*x^4+24*x^3+7*x^2+80*x+6", "y^2=68*x^6+15*x^5+15*x^4+48*x^3+14*x^2+77*x+12", "y^2=65*x^6+3*x^5+76*x^4+28*x^3+72*x^2+28*x+5", "y^2=47*x^6+6*x^5+69*x^4+56*x^3+61*x^2+56*x+10", "y^2=28*x^6+6*x^5+44*x^4+31*x^3+33*x^2+79*x+33", "y^2=31*x^6+34*x^5+2*x^4+31*x^3+66*x^2+2*x+45", "y^2=62*x^6+68*x^5+4*x^4+62*x^3+49*x^2+4*x+7", "y^2=74*x^6+62*x^5+73*x^4+48*x^3+29*x^2+78*x+9", "y^2=65*x^6+41*x^5+63*x^4+13*x^3+58*x^2+73*x+18", "y^2=2*x^6+40*x^5+23*x^4+53*x^3+35*x^2+63*x+37", "y^2=4*x^6+80*x^5+46*x^4+23*x^3+70*x^2+43*x+74", "y^2=10*x^6+43*x^5+50*x^4+7*x^3+40*x^2+56*x+44", "y^2=20*x^6+3*x^5+17*x^4+14*x^3+80*x^2+29*x+5", "y^2=63*x^6+16*x^5+43*x^4+2*x^3+53*x^2+36*x+5", "y^2=43*x^6+32*x^5+3*x^4+4*x^3+23*x^2+72*x+10", "y^2=30*x^6+12*x^5+32*x^4+13*x^3+19*x^2+74*x+10", "y^2=60*x^6+24*x^5+64*x^4+26*x^3+38*x^2+65*x+20", "y^2=23*x^6+33*x^5+5*x^4+19*x^3+48*x^2+80*x+53", "y^2=46*x^6+66*x^5+10*x^4+38*x^3+13*x^2+77*x+23", "y^2=34*x^6+68*x^5+53*x^4+10*x^3+35*x^2+57*x+67", "y^2=68*x^6+53*x^5+23*x^4+20*x^3+70*x^2+31*x+51", "y^2=62*x^6+74*x^5+28*x^4+59*x^3+51*x+31", "y^2=41*x^6+65*x^5+56*x^4+35*x^3+19*x+62", "y^2=54*x^6+54*x^5+39*x^4+56*x^3+60*x^2+31*x+63", "y^2=25*x^6+25*x^5+78*x^4+29*x^3+37*x^2+62*x+43", "y^2=54*x^6+64*x^5+21*x^4+18*x^3+39*x^2+9*x+33", "y^2=74*x^6+35*x^4+11*x^3+51*x^2+25", "y^2=60*x^6+54*x^5+33*x^4+11*x^3+58*x^2+80*x+76", "y^2=37*x^6+25*x^5+66*x^4+22*x^3+33*x^2+77*x+69", "y^2=47*x^6+60*x^5+2*x^4+17*x^3+76*x^2+50*x+14", "y^2=11*x^6+37*x^5+4*x^4+34*x^3+69*x^2+17*x+28", "y^2=49*x^6+64*x^5+64*x^4+15*x^3+53*x^2+61*x+43", "y^2=15*x^6+45*x^5+45*x^4+30*x^3+23*x^2+39*x+3", "y^2=35*x^6+21*x^5+71*x^4+76*x^3+58*x^2+29*x+69", "y^2=70*x^6+42*x^5+59*x^4+69*x^3+33*x^2+58*x+55", "y^2=74*x^6+44*x^5+75*x^4+46*x^3+52*x^2+33*x+75", "y^2=33*x^6+13*x^5+36*x^4+78*x^3+74*x^2+6*x+76", "y^2=16*x^6+37*x^5+25*x^4+30*x^3+50*x^2+26*x+44", "y^2=32*x^6+74*x^5+50*x^4+60*x^3+17*x^2+52*x+5", "y^2=56*x^6+20*x^5+49*x^4+67*x^3+47*x^2+40*x+31", "y^2=29*x^6+40*x^5+15*x^4+51*x^3+11*x^2+80*x+62", "y^2=14*x^6+75*x^5+46*x^4+40*x^3+x^2+61*x+37", "y^2=28*x^6+67*x^5+9*x^4+80*x^3+2*x^2+39*x+74", "y^2=79*x^6+40*x^5+67*x^4+65*x^3+42*x^2+38*x+57", "y^2=75*x^6+80*x^5+51*x^4+47*x^3+x^2+76*x+31", "y^2=46*x^6+15*x^5+55*x^4+66*x^3+63*x^2+73*x+28", "y^2=9*x^6+30*x^5+27*x^4+49*x^3+43*x^2+63*x+56", "y^2=38*x^6+73*x^5+49*x^4+63*x^3+24*x^2+47*x+46", "y^2=9*x^6+48*x^5+57*x^4+26*x^3+37*x^2+37*x+28", "y^2=51*x^6+52*x^5+8*x^4+60*x^3+12*x^2+34*x+58", "y^2=49*x^6+25*x^5+77*x^4+7*x^3+53*x^2+49*x+35", "y^2=15*x^6+50*x^5+71*x^4+14*x^3+23*x^2+15*x+70", "y^2=64*x^6+65*x^5+43*x^4+17*x^3+14*x^2+73*x+22", "y^2=45*x^6+47*x^5+3*x^4+34*x^3+28*x^2+63*x+44", "y^2=47*x^6+13*x^5+57*x^4+80*x^3+77*x^2+39*x+7", "y^2=3*x^6+5*x^5+27*x^4+60*x^3+22*x^2+61*x+77", "y^2=6*x^6+10*x^5+54*x^4+37*x^3+44*x^2+39*x+71", "y^2=58*x^6+51*x^5+41*x^4+12*x^3+57*x^2+60*x+48", "y^2=61*x^6+39*x^5+61*x^4+36*x^3+24*x^2+18*x+71", "y^2=39*x^6+78*x^5+39*x^4+72*x^3+48*x^2+36*x+59", "y^2=15*x^6+51*x^5+34*x^4+21*x^3+31*x^2+65*x+54", "y^2=30*x^6+19*x^5+68*x^4+42*x^3+62*x^2+47*x+25", "y^2=15*x^6+20*x^5+31*x^4+49*x^3+80*x^2+66*x+26", "y^2=77*x^6+35*x^5+67*x^4+14*x^3+36*x^2+6*x+45", "y^2=31*x^6+28*x^5+21*x^4+73*x^3+49*x^2+3*x+33", "y^2=62*x^6+56*x^5+42*x^4+63*x^3+15*x^2+6*x+66", "y^2=68*x^6+8*x^5+56*x^4+24*x^3+5*x^2+34*x+17", "y^2=53*x^6+16*x^5+29*x^4+48*x^3+10*x^2+68*x+34", "y^2=9*x^6+60*x^5+36*x^4+4*x^3+54*x^2+36*x+2", "y^2=18*x^6+37*x^5+72*x^4+8*x^3+25*x^2+72*x+4", "y^2=77*x^6+37*x^5+39*x^4+73*x^3+64*x^2+9*x+58", "y^2=77*x^6+61*x^5+22*x^4+60*x^3+76*x^2+44*x+67", "y^2=71*x^6+39*x^5+44*x^4+37*x^3+69*x^2+5*x+51", "y^2=40*x^6+81*x^5+16*x^4+29*x^3+51*x^2+33*x+70", "y^2=80*x^6+79*x^5+32*x^4+58*x^3+19*x^2+66*x+57", "y^2=13*x^6+44*x^5+67*x^4+47*x^3+2*x^2+40*x+2", "y^2=72*x^6+30*x^5+11*x^4+59*x^3+70*x^2+75*x+29", "y^2=61*x^6+60*x^5+22*x^4+35*x^3+57*x^2+67*x+58", "y^2=68*x^6+22*x^5+17*x^4+41*x^3+77*x^2+47*x+41", "y^2=71*x^6+25*x^5+59*x^4+65*x^3+35*x^2+17*x+70", "y^2=x^6+42*x^5+26*x^4+10*x^3+59*x^2+66*x+49", "y^2=2*x^6+x^5+52*x^4+20*x^3+35*x^2+49*x+15", "y^2=64*x^6+76*x^5+24*x^4+81*x^3+65*x^2+33*x+18", "y^2=51*x^6+76*x^5+12*x^4+26*x^3+4*x^2+75*x+3", "y^2=19*x^6+69*x^5+24*x^4+52*x^3+8*x^2+67*x+6", "y^2=47*x^6+47*x^5+47*x^4+22*x^3+73*x^2+75*x+9", "y^2=11*x^6+11*x^5+11*x^4+44*x^3+63*x^2+67*x+18", "y^2=33*x^6+70*x^5+82*x^4+4*x^3+18*x^2+17*x+10", "y^2=66*x^6+57*x^5+81*x^4+8*x^3+36*x^2+34*x+20", "y^2=18*x^6+49*x^5+67*x^4+42*x^3+17*x^2+81*x+74", "y^2=24*x^6+46*x^5+56*x^4+4*x^3+43*x^2+73*x+58", "y^2=48*x^6+9*x^5+29*x^4+8*x^3+3*x^2+63*x+33", "y^2=42*x^6+12*x^5+15*x^4+18*x^3+68*x^2+26*x+33", "y^2=x^6+24*x^5+30*x^4+36*x^3+53*x^2+52*x+66", "y^2=77*x^6+71*x^5+24*x^4+57*x^3+59*x^2+19*x+68", "y^2=71*x^6+59*x^5+48*x^4+31*x^3+35*x^2+38*x+53", "y^2=3*x^6+18*x^5+74*x^4+32*x^3+9*x^2+8*x+13", "y^2=6*x^6+36*x^5+65*x^4+64*x^3+18*x^2+16*x+26", "y^2=62*x^6+2*x^5+25*x^4+70*x^3+41*x^2+63*x+60", "y^2=41*x^6+4*x^5+50*x^4+57*x^3+82*x^2+43*x+37", "y^2=61*x^6+32*x^5+75*x^3+56*x^2+33*x+80", "y^2=39*x^6+64*x^5+67*x^3+29*x^2+66*x+77", "y^2=59*x^6+79*x^5+47*x^4+69*x^3+9*x^2+62*x+73", "y^2=68*x^6+19*x^5+26*x^4+7*x^3+78*x^2+60*x+52", "y^2=53*x^6+38*x^5+52*x^4+14*x^3+73*x^2+37*x+21", "y^2=36*x^6+32*x^5+2*x^4+57*x^3+74*x^2+2*x+24", "y^2=72*x^6+64*x^5+4*x^4+31*x^3+65*x^2+4*x+48", "y^2=73*x^6+77*x^5+35*x^3+9*x+77", "y^2=76*x^6+59*x^5+62*x^4+48*x^3+79*x^2+79*x+50", "y^2=69*x^6+35*x^5+41*x^4+13*x^3+75*x^2+75*x+17", "y^2=2*x^6+12*x^5+25*x^4+7*x^3+48*x^2+6*x+37", "y^2=4*x^6+24*x^5+50*x^4+14*x^3+13*x^2+12*x+74", "y^2=56*x^6+20*x^5+69*x^4+25*x^3+47*x^2+48*x+74", "y^2=29*x^6+40*x^5+55*x^4+50*x^3+11*x^2+13*x+65", "y^2=44*x^6+30*x^5+72*x^4+51*x^3+77*x^2+12*x+38", "y^2=5*x^6+60*x^5+61*x^4+19*x^3+71*x^2+24*x+76", "y^2=72*x^6+21*x^5+49*x^4+81*x^3+25*x^2+81*x+45", "y^2=25*x^6+17*x^5+31*x^4+67*x^3+6*x^2+75*x+13", "y^2=17*x^6+53*x^5+68*x^4+23*x^3+13*x^2+14*x+15", "y^2=58*x^6+76*x^5+45*x^4+78*x^3+51*x^2+67*x+38", "y^2=47*x^6+55*x^5+41*x^4+64*x^3+57*x^2+16*x+40", "y^2=11*x^6+27*x^5+82*x^4+45*x^3+31*x^2+32*x+80", "y^2=36*x^6+62*x^5+33*x^4+11*x^3+32*x^2+74*x+57", "y^2=35*x^6+43*x^5+33*x^4+45*x^3+33*x^2+29*x+22", "y^2=70*x^6+3*x^5+66*x^4+7*x^3+66*x^2+58*x+44", "y^2=36*x^6+59*x^5+12*x^4+66*x^3+34*x^2+x+58", "y^2=49*x^6+31*x^5+67*x^3+47*x^2+5*x+53", "y^2=46*x^6+75*x^5+54*x^4+3*x^3+17*x^2+54*x+74", "y^2=63*x^6+19*x^5+55*x^4+6*x^3+60*x^2+70*x+9", "y^2=43*x^6+38*x^5+27*x^4+12*x^3+37*x^2+57*x+18", "y^2=15*x^6+21*x^5+44*x^4+78*x^3+39*x^2+21*x+68", "y^2=40*x^6+81*x^5+57*x^4+78*x^3+51*x^2+47*x+44", "y^2=80*x^6+79*x^5+31*x^4+73*x^3+19*x^2+11*x+5", "y^2=36*x^6+76*x^5+60*x^4+36*x^3+36*x^2+7*x+41", "y^2=72*x^6+69*x^5+37*x^4+72*x^3+72*x^2+14*x+82", "y^2=4*x^6+40*x^5+48*x^4+21*x^3+4*x^2+37*x+35", "y^2=67*x^6+37*x^5+73*x^4+79*x^3+52*x^2+53*x", "y^2=51*x^6+74*x^5+63*x^4+75*x^3+21*x^2+23*x", "y^2=14*x^6+11*x^5+31*x^4+2*x^3+71*x^2+33*x+48", "y^2=31*x^6+9*x^5+40*x^4+50*x^3+23*x^2+13*x+67", "y^2=62*x^6+18*x^5+80*x^4+17*x^3+46*x^2+26*x+51", "y^2=40*x^6+31*x^5+38*x^4+58*x^3+58*x^2+69*x+45", "y^2=25*x^6+8*x^5+65*x^4+29*x^3+16*x^2+57*x+51", "y^2=50*x^6+16*x^5+47*x^4+58*x^3+32*x^2+31*x+19", "y^2=65*x^5+x^4+20*x^3+64*x^2+50*x+20", "y^2=47*x^5+2*x^4+40*x^3+45*x^2+17*x+40", "y^2=38*x^6+80*x^5+14*x^4+55*x^3+60*x^2+4*x+52", "y^2=76*x^6+77*x^5+28*x^4+27*x^3+37*x^2+8*x+21", "y^2=78*x^6+54*x^5+8*x^4+36*x^3+8*x^2+70*x+67", "y^2=73*x^6+25*x^5+16*x^4+72*x^3+16*x^2+57*x+51", "y^2=12*x^6+21*x^5+15*x^4+12*x^3+54*x^2+30*x+10", "y^2=24*x^6+42*x^5+30*x^4+24*x^3+25*x^2+60*x+20", "y^2=70*x^6+52*x^5+77*x^4+82*x^3+29*x^2+38*x+74", "y^2=57*x^6+21*x^5+71*x^4+81*x^3+58*x^2+76*x+65", "y^2=31*x^6+58*x^5+28*x^4+66*x^2+61*x+5", "y^2=62*x^6+33*x^5+56*x^4+49*x^2+39*x+10", "y^2=71*x^6+2*x^5+73*x^4+52*x^3+29*x^2+77*x+17", "y^2=59*x^6+4*x^5+63*x^4+21*x^3+58*x^2+71*x+34", "y^2=56*x^6+70*x^5+25*x^4+25*x^3+56*x^2+26*x+31", "y^2=29*x^6+57*x^5+50*x^4+50*x^3+29*x^2+52*x+62", "y^2=48*x^6+80*x^5+47*x^4+18*x^3+57*x^2+25*x+52", "y^2=13*x^6+77*x^5+11*x^4+36*x^3+31*x^2+50*x+21", "y^2=8*x^6+28*x^5+17*x^4+29*x^3+19*x^2+35*x+55", "y^2=16*x^6+56*x^5+34*x^4+58*x^3+38*x^2+70*x+27", "y^2=15*x^6+13*x^5+11*x^4+64*x^3+53*x^2+4*x+65", "y^2=30*x^6+26*x^5+22*x^4+45*x^3+23*x^2+8*x+47", "y^2=46*x^6+43*x^5+58*x^4+6*x^3+81*x^2+61*x+45", "y^2=9*x^6+3*x^5+33*x^4+12*x^3+79*x^2+39*x+7", "y^2=9*x^6+45*x^5+17*x^4+29*x^3+5*x^2+78*x+63", "y^2=18*x^6+7*x^5+34*x^4+58*x^3+10*x^2+73*x+43", "y^2=58*x^6+3*x^5+68*x^4+31*x^3+8*x^2+75*x+29", "y^2=33*x^6+15*x^5+69*x^4+25*x^3+78*x^2+5*x+5", "y^2=66*x^6+30*x^5+55*x^4+50*x^3+73*x^2+10*x+10", "y^2=55*x^6+44*x^5+8*x^4+61*x^3+44*x^2+3*x+31", "y^2=17*x^6+19*x^5+13*x^4+31*x^3+66*x^2+5*x+52", "y^2=34*x^6+38*x^5+26*x^4+62*x^3+49*x^2+10*x+21", "y^2=22*x^6+x^5+62*x^4+60*x^3+25*x^2+3*x+32", "y^2=44*x^6+2*x^5+41*x^4+37*x^3+50*x^2+6*x+64", "y^2=3*x^6+50*x^5+49*x^4+75*x^3+69*x^2+32*x+72", "y^2=6*x^6+17*x^5+15*x^4+67*x^3+55*x^2+64*x+61", "y^2=11*x^5+77*x^4+53*x^3+44*x^2+75*x+69", "y^2=22*x^5+71*x^4+23*x^3+5*x^2+67*x+55", "y^2=5*x^6+43*x^5+53*x^4+81*x^3+76*x^2+70*x+10", "y^2=10*x^6+3*x^5+23*x^4+79*x^3+69*x^2+57*x+20", "y^2=40*x^6+43*x^5+14*x^4+33*x^3+45*x^2+19*x+28", "y^2=80*x^6+3*x^5+28*x^4+66*x^3+7*x^2+38*x+56", "y^2=47*x^6+7*x^5+43*x^4+61*x^2+21*x+7", "y^2=35*x^6+32*x^5+25*x^4+34*x^3+75*x^2+71*x+66", "y^2=70*x^6+64*x^5+50*x^4+68*x^3+67*x^2+59*x+49", "y^2=40*x^6+26*x^5+33*x^4+25*x^3+74*x^2+26*x+79", "y^2=80*x^6+52*x^5+66*x^4+50*x^3+65*x^2+52*x+75", "y^2=24*x^6+70*x^5+40*x^4+24*x^3+42*x^2+17*x+36", "y^2=57*x^6+53*x^5+54*x^4+47*x^3+55*x^2+48*x+44", "y^2=31*x^6+23*x^5+25*x^4+11*x^3+27*x^2+13*x+5", "y^2=77*x^6+3*x^5+28*x^4+74*x^3+14*x^2+63*x+20", "y^2=39*x^6+62*x^5+67*x^4+68*x^3+49*x^2+59*x+49", "y^2=4*x^6+40*x^5+74*x^4+3*x^3+4*x^2+67*x+22", "y^2=8*x^6+80*x^5+65*x^4+6*x^3+8*x^2+51*x+44", "y^2=2*x^6+50*x^5+53*x^4+65*x^3+2*x^2+43*x+30", "y^2=42*x^6+73*x^5+65*x^4+14*x^3+26*x^2+34*x+68", "y^2=x^6+63*x^5+47*x^4+28*x^3+52*x^2+68*x+53", "y^2=31*x^6+56*x^5+70*x^4+52*x^3+43*x^2+42*x+46", "y^2=63*x^6+58*x^5+61*x^4+12*x^3+6*x^2+5*x+14", "y^2=80*x^6+81*x^5+37*x^4+14*x^3+53*x^2+74*x+9", "y^2=77*x^6+79*x^5+74*x^4+28*x^3+23*x^2+65*x+18", "y^2=54*x^6+50*x^5+20*x^4+23*x^3+13*x^2+26*x+75", "y^2=36*x^6+17*x^5+69*x^4+79*x^3+50*x^2+67*x+69", "y^2=72*x^6+34*x^5+55*x^4+75*x^3+17*x^2+51*x+55", "y^2=29*x^6+36*x^5+40*x^4+12*x^3+43*x^2+36*x+54", "y^2=6*x^6+26*x^5+12*x^4+20*x^3+12*x^2+53*x+13", "y^2=12*x^6+52*x^5+24*x^4+40*x^3+24*x^2+23*x+26", "y^2=7*x^6+81*x^5+22*x^4+8*x^3+27*x^2+33*x+45", "y^2=42*x^6+25*x^5+54*x^4+57*x^3+38*x^2+75*x+61", "y^2=73*x^6+76*x^5+48*x^4+6*x^3+44*x^2+3*x+69", "y^2=63*x^6+69*x^5+13*x^4+12*x^3+5*x^2+6*x+55", "y^2=64*x^5+79*x^4+30*x^3+59*x^2+63*x", "y^2=23*x^6+31*x^5+37*x^4+21*x^3+x^2+23*x+7", "y^2=46*x^6+62*x^5+74*x^4+42*x^3+2*x^2+46*x+14", "y^2=53*x^6+25*x^5+22*x^4+53*x^3+41*x^2+54*x+78", "y^2=23*x^6+50*x^5+44*x^4+23*x^3+82*x^2+25*x+73", "y^2=72*x^6+12*x^5+24*x^4+26*x^3+29*x^2+31*x+39", "y^2=3*x^6+18*x^5+x^4+53*x^3+58*x^2+8*x+52", "y^2=39*x^6+81*x^5+42*x^4+82*x^2+8*x+20", "y^2=13*x^6+80*x^5+61*x^4+x^3+6*x^2+28*x+1", "y^2=26*x^6+77*x^5+39*x^4+2*x^3+12*x^2+56*x+2", "y^2=79*x^6+66*x^5+54*x^4+24*x^3+55*x^2+14*x+62", "y^2=75*x^6+49*x^5+25*x^4+48*x^3+27*x^2+28*x+41", "y^2=10*x^6+16*x^5+45*x^4+x^3+17*x^2+70*x+45", "y^2=20*x^6+32*x^5+7*x^4+2*x^3+34*x^2+57*x+7", "y^2=47*x^6+73*x^5+26*x^4+81*x^3+49*x^2+20*x+22", "y^2=11*x^6+63*x^5+52*x^4+79*x^3+15*x^2+40*x+44", "y^2=62*x^6+79*x^5+45*x^4+57*x^3+59*x^2+49*x+74", "y^2=41*x^6+75*x^5+7*x^4+31*x^3+35*x^2+15*x+65", "y^2=49*x^6+62*x^5+48*x^4+56*x^3+75*x^2+61*x+40", "y^2=15*x^6+41*x^5+13*x^4+29*x^3+67*x^2+39*x+80", "y^2=35*x^6+49*x^5+35*x^4+69*x^3+18*x^2+36*x+25", "y^2=70*x^6+15*x^5+70*x^4+55*x^3+36*x^2+72*x+50", "y^2=21*x^6+18*x^5+62*x^4+63*x^3+74*x^2+80*x+59", "y^2=42*x^6+36*x^5+41*x^4+43*x^3+65*x^2+77*x+35", "y^2=47*x^6+56*x^5+70*x^3+77*x^2+58", "y^2=11*x^6+29*x^5+57*x^3+71*x^2+33", "y^2=7*x^6+21*x^5+29*x^4+74*x^3+51*x^2+56", "y^2=14*x^6+42*x^5+58*x^4+65*x^3+19*x^2+29", "y^2=8*x^6+49*x^5+49*x^4+80*x^3+34*x^2+67*x+32", "y^2=16*x^6+15*x^5+15*x^4+77*x^3+68*x^2+51*x+64", "y^2=7*x^6+5*x^5+18*x^4+16*x^3+14*x^2+46*x+1", "y^2=14*x^6+10*x^5+36*x^4+32*x^3+28*x^2+9*x+2", "y^2=8*x^6+50*x^5+66*x^4+81*x^3+x^2+68*x+79", "y^2=16*x^6+17*x^5+49*x^4+79*x^3+2*x^2+53*x+75", "y^2=5*x^6+60*x^5+43*x^4+37*x^3+35*x^2+32*x+47", "y^2=10*x^6+37*x^5+3*x^4+74*x^3+70*x^2+64*x+11", "y^2=13*x^6+31*x^5+20*x^4+22*x^3+5*x^2+6*x+69", "y^2=26*x^6+62*x^5+40*x^4+44*x^3+10*x^2+12*x+55", "y^2=69*x^6+55*x^5+79*x^4+7*x^3+26*x^2+46*x+10", "y^2=55*x^6+27*x^5+75*x^4+14*x^3+52*x^2+9*x+20", "y^2=71*x^6+80*x^5+8*x^4+77*x^3+65*x^2+10*x+57", "y^2=59*x^6+77*x^5+16*x^4+71*x^3+47*x^2+20*x+31", "y^2=51*x^6+19*x^5+12*x^4+70*x^3+43*x^2+80*x+28", "y^2=19*x^6+38*x^5+24*x^4+57*x^3+3*x^2+77*x+56", "y^2=25*x^6+13*x^5+36*x^4+64*x^3+70*x^2+9*x+71", "y^2=50*x^6+26*x^5+72*x^4+45*x^3+57*x^2+18*x+59", "y^2=80*x^6+69*x^5+x^4+8*x^3+81*x^2+80*x+53", "y^2=77*x^6+55*x^5+2*x^4+16*x^3+79*x^2+77*x+23", "y^2=39*x^6+18*x^5+11*x^4+26*x^3+71*x^2+42*x+29", "y^2=7*x^6+20*x^5+80*x^4+18*x^3+31*x^2+63*x+26", "y^2=14*x^6+40*x^5+77*x^4+36*x^3+62*x^2+43*x+52", "y^2=65*x^6+28*x^5+14*x^4+2*x^2+35*x+21", "y^2=39*x^6+77*x^5+30*x^4+33*x^3+72*x^2+75*x+75", "y^2=71*x^6+81*x^5+65*x^4+39*x^3+80*x^2+x+38", "y^2=59*x^6+79*x^5+47*x^4+78*x^3+77*x^2+2*x+76", "y^2=28*x^6+56*x^5+20*x^4+56*x^3+50*x^2+24*x+2", "y^2=56*x^6+29*x^5+40*x^4+29*x^3+17*x^2+48*x+4", "y^2=27*x^6+32*x^5+48*x^4+60*x^3+55*x^2+23*x+3", "y^2=54*x^6+64*x^5+13*x^4+37*x^3+27*x^2+46*x+6", "y^2=32*x^6+68*x^5+48*x^4+14*x^3+22*x^2+21*x+6", "y^2=64*x^6+53*x^5+13*x^4+28*x^3+44*x^2+42*x+12", "y^2=56*x^6+4*x^5+8*x^4+4*x^3+55*x^2+34*x+50", "y^2=29*x^6+8*x^5+16*x^4+8*x^3+27*x^2+68*x+17", "y^2=23*x^6+55*x^5+77*x^4+41*x^3+20*x^2+67*x+55", "y^2=12*x^6+63*x^5+4*x^4+47*x^3+13*x^2+17*x+54", "y^2=23*x^6+67*x^5+60*x^4+3*x^3+38*x^2+38*x+8", "y^2=46*x^6+51*x^5+37*x^4+6*x^3+76*x^2+76*x+16", "y^2=60*x^6+13*x^5+20*x^4+17*x^3+50*x^2+22*x+29", "y^2=37*x^6+26*x^5+40*x^4+34*x^3+17*x^2+44*x+58", "y^2=33*x^6+77*x^5+25*x^4+56*x^2+10*x+76", "y^2=4*x^6+40*x^5+54*x^4+68*x^3+21*x^2+4*x+2", "y^2=35*x^6+61*x^5+34*x^4+33*x^3+23*x^2+33", "y^2=70*x^6+39*x^5+68*x^4+66*x^3+46*x^2+66", "y^2=4*x^6+50*x^5+63*x^4+79*x^3+8*x^2+23*x+21", "y^2=65*x^6+30*x^5+35*x^4+15*x^3+8*x^2+41*x+55", "y^2=47*x^6+60*x^5+70*x^4+30*x^3+16*x^2+82*x+27", "y^2=27*x^6+65*x^5+81*x^4+15*x^3+25*x^2+28*x+11", "y^2=54*x^6+47*x^5+79*x^4+30*x^3+50*x^2+56*x+22", "y^2=36*x^6+70*x^5+79*x^4+75*x^3+77*x^2+11", "y^2=72*x^6+57*x^5+75*x^4+67*x^3+71*x^2+22", "y^2=39*x^6+x^5+26*x^4+49*x^3+78*x^2+60*x+65", "y^2=78*x^6+2*x^5+52*x^4+15*x^3+73*x^2+37*x+47", "y^2=5*x^6+64*x^5+9*x^4+63*x^3+14*x^2+3*x+37", "y^2=10*x^6+45*x^5+18*x^4+43*x^3+28*x^2+6*x+74", "y^2=49*x^6+2*x^5+65*x^4+45*x^3+31*x^2+75*x+46", "y^2=70*x^6+68*x^5+74*x^4+17*x^3+21*x^2+67*x+21", "y^2=57*x^6+53*x^5+65*x^4+34*x^3+42*x^2+51*x+42", "y^2=58*x^6+63*x^5+5*x^4+47*x^3+27*x^2+68*x+74", "y^2=33*x^6+43*x^5+10*x^4+11*x^3+54*x^2+53*x+65", "y^2=30*x^6+68*x^5+10*x^4+x^3+55*x^2+28*x+7", "y^2=60*x^6+53*x^5+20*x^4+2*x^3+27*x^2+56*x+14", "y^2=68*x^6+65*x^5+32*x^4+60*x^3+37*x^2+70*x+31", "y^2=53*x^6+47*x^5+64*x^4+37*x^3+74*x^2+57*x+62", "y^2=81*x^6+27*x^5+79*x^4+3*x^3+33*x^2+64*x+58", "y^2=5*x^6+24*x^5+21*x^4+15*x^3+43*x^2+21*x+45", "y^2=10*x^6+48*x^5+42*x^4+30*x^3+3*x^2+42*x+7", "y^2=75*x^6+42*x^5+11*x^4+11*x^3+55*x^2+5*x+75", "y^2=67*x^6+x^5+22*x^4+22*x^3+27*x^2+10*x+67", "y^2=78*x^6+40*x^5+74*x^4+79*x^3+10*x^2+45*x+2", "y^2=73*x^6+80*x^5+65*x^4+75*x^3+20*x^2+7*x+4", "y^2=22*x^6+12*x^5+47*x^4+81*x^3+79*x^2+6", "y^2=44*x^6+24*x^5+11*x^4+79*x^3+75*x^2+12", "y^2=69*x^6+23*x^4+38*x^3+71*x^2+69*x+16", "y^2=55*x^6+46*x^4+76*x^3+59*x^2+55*x+32", "y^2=61*x^6+10*x^5+71*x^4+24*x^3+50*x^2+60*x+77", "y^2=39*x^6+20*x^5+59*x^4+48*x^3+17*x^2+37*x+71", "y^2=47*x^6+36*x^5+42*x^4+27*x^3+45*x^2+26*x+45", "y^2=18*x^6+39*x^4+76*x^3+67*x^2+52*x+55", "y^2=36*x^6+78*x^4+69*x^3+51*x^2+21*x+27", "y^2=25*x^6+3*x^5+63*x^4+53*x^3+46*x^2+6*x+31", "y^2=50*x^6+6*x^5+43*x^4+23*x^3+9*x^2+12*x+62", "y^2=43*x^6+13*x^5+65*x^4+47*x^3+67*x^2+27*x+7", "y^2=3*x^6+26*x^5+47*x^4+11*x^3+51*x^2+54*x+14", "y^2=24*x^6+75*x^5+5*x^4+14*x^3+36*x^2+32*x+39", "y^2=48*x^6+67*x^5+10*x^4+28*x^3+72*x^2+64*x+78", "y^2=61*x^6+66*x^5+62*x^4+65*x^3+32*x^2+5*x+42", "y^2=22*x^6+9*x^5+61*x^4+23*x^3+7*x^2+75*x+5", "y^2=44*x^6+18*x^5+39*x^4+46*x^3+14*x^2+67*x+10", "y^2=67*x^6+28*x^5+11*x^4+27*x^3+9*x^2+66*x+9", "y^2=51*x^6+56*x^5+22*x^4+54*x^3+18*x^2+49*x+18"], "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": 14, "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": ["2.0.47.1"], "geometric_splitting_field": "2.0.47.1", "geometric_splitting_polynomials": [[12, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 665, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 665, "label": "2.83.a_aw", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.35344.1"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -22, 0, 6889], "poly_str": "1 0 -22 0 6889 ", "primitive_models": [], "q": 83, "real_poly": [1, 0, -188], "simple_distinct": ["2.83.a_aw"], "simple_factors": ["2.83.a_awA"], "simple_multiplicities": [1], "singular_primes": ["2,F-4*V-3", "3,7*F-22*V-12"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.35344.1", "splitting_polynomials": [[144, 0, -23, 0, 1]], "twist_count": 6, "twists": [["2.83.ay_ly", "2.47458321.bniq_wwlouo", 4], ["2.83.a_w", "2.47458321.bniq_wwlouo", 4], ["2.83.y_ly", "2.47458321.bniq_wwlouo", 4], ["2.83.am_cj", "2.106890007738661124410161.ejsygwbbo_jrvlgfdbiiqabflhm", 12], ["2.83.m_cj", "2.106890007738661124410161.ejsygwbbo_jrvlgfdbiiqabflhm", 12]], "weak_equivalence_count": 14, "zfv_index": 576, "zfv_index_factorization": [[2, 6], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 20736, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F-4*V-3", "3,7*F-22*V-12"]}