# Stored data for abelian variety isogeny class 2.83.j_gk, downloaded from the LMFDB on 07 September 2025.
{"abvar_count": 7812, "abvar_counts": [7812, 49215600, 326076973488, 2251949350392000, 15516303216128532972, 106890008066256526675200, 736365392535003781474564668, 5072820202236360479087800800000, 34946658878159260344476665974989232, 240747534298886669855591165165253078000], "abvar_counts_str": "7812 49215600 326076973488 2251949350392000 15516303216128532972 106890008066256526675200 736365392535003781474564668 5072820202236360479087800800000 34946658878159260344476665974989232 240747534298886669855591165165253078000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.5, 0.664443457246703], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 93, "curve_counts": [93, 7141, 570276, 47451097, 3939107163, 326940374374, 27136055751681, 2252292189197233, 186940254404516508, 15516041198537238661], "curve_counts_str": "93 7141 570276 47451097 3939107163 326940374374 27136055751681 2252292189197233 186940254404516508 15516041198537238661 ", "curves": ["y^2=43*x^6+17*x^5+19*x^4+53*x^3+62*x^2+81*x+64", "y^2=68*x^6+74*x^5+7*x^4+7*x^3+66*x^2+10*x+33", "y^2=28*x^6+20*x^5+62*x^4+71*x^3+40*x^2+73*x+16", "y^2=79*x^6+4*x^5+3*x^4+52*x^3+43*x^2+65*x+47", "y^2=59*x^6+53*x^5+68*x^4+13*x^3+x^2+56*x+62", "y^2=44*x^6+38*x^5+3*x^4+55*x^3+63*x^2+76*x+56", "y^2=36*x^6+82*x^5+25*x^4+16*x^3+17*x^2+13*x+69", "y^2=32*x^6+46*x^5+40*x^4+53*x^3+71*x^2+69*x+25", "y^2=44*x^6+82*x^5+45*x^4+12*x^3+45*x^2+x+20", "y^2=20*x^6+38*x^5+16*x^4+72*x^3+3*x^2+34*x+64", "y^2=9*x^6+29*x^5+74*x^4+41*x^3+71*x^2+75*x+31", "y^2=44*x^6+29*x^5+28*x^4+62*x^3+58*x^2+63*x+68", "y^2=12*x^6+78*x^5+24*x^4+14*x^3+12*x^2+67*x+71", "y^2=39*x^6+34*x^5+44*x^4+24*x^3+7*x^2+52*x+47", "y^2=9*x^6+50*x^5+25*x^4+81*x^3+66*x^2+2*x+26", "y^2=47*x^6+44*x^5+50*x^4+59*x^3+49*x^2+30*x+18", "y^2=16*x^6+65*x^5+34*x^4+74*x^3+18*x^2+16*x+49", "y^2=58*x^6+21*x^5+36*x^4+13*x^3+23*x^2+73*x+77", "y^2=77*x^6+61*x^5+64*x^4+12*x^3+53*x^2+10*x+16", "y^2=38*x^6+24*x^5+65*x^4+47*x^3+36*x^2+62*x+38", "y^2=20*x^6+16*x^5+81*x^4+26*x^3+x^2+80*x+40", "y^2=21*x^6+11*x^5+51*x^4+47*x^3+76*x^2+7*x+78", "y^2=68*x^6+71*x^5+30*x^4+28*x^3+11*x^2+48*x+61", "y^2=61*x^6+70*x^5+78*x^4+50*x^3+2*x^2+35*x+2", "y^2=36*x^6+29*x^5+41*x^4+31*x^3+24*x^2+42*x+23", "y^2=60*x^6+45*x^5+65*x^4+58*x^3+49*x^2+26*x+4", "y^2=71*x^6+26*x^5+62*x^4+50*x^3+31*x^2+17*x+59", "y^2=37*x^5+57*x^4+2*x^3+82*x^2+22*x+49", "y^2=36*x^6+50*x^5+77*x^4+34*x^3+65*x+82", "y^2=82*x^6+3*x^5+2*x^4+32*x^3+12*x^2+65*x+60", "y^2=43*x^6+68*x^5+28*x^4+6*x^3+77*x^2+52*x+82", "y^2=18*x^6+3*x^5+47*x^4+62*x^3+63*x^2+52*x+51", "y^2=82*x^6+12*x^5+21*x^4+55*x^3+26*x^2+27*x+17", "y^2=65*x^6+73*x^5+39*x^4+80*x^3+72*x^2+44*x+3", "y^2=17*x^6+76*x^5+63*x^4+73*x^3+56*x^2+27*x+43", "y^2=75*x^6+74*x^5+61*x^4+25*x^3+62*x^2+67*x+25", "y^2=53*x^6+8*x^5+11*x^4+32*x^3+32*x^2+3*x+50", "y^2=78*x^6+35*x^5+68*x^4+43*x^3+22*x^2+49*x+34", "y^2=7*x^6+29*x^5+46*x^4+55*x^3+33*x^2+81*x+34", "y^2=31*x^6+2*x^5+2*x^4+2*x^3+49*x^2+28*x+20", "y^2=67*x^6+24*x^5+54*x^4+41*x^3+82*x^2+82*x+13", "y^2=48*x^6+77*x^5+3*x^4+64*x^3+37*x^2+17*x+39", "y^2=23*x^6+40*x^5+5*x^4+22*x^3+32*x^2+52*x+75", "y^2=54*x^6+10*x^5+23*x^4+55*x^3+48*x^2+2*x+26", "y^2=10*x^6+29*x^5+28*x^4+3*x^3+26*x^2+67*x+80", "y^2=81*x^6+34*x^5+23*x^4+68*x^3+45*x^2+40*x+71", "y^2=15*x^6+46*x^5+65*x^4+23*x^3+77*x^2+6*x+2", "y^2=58*x^6+36*x^5+58*x^4+63*x^3+80*x^2+32*x+16", "y^2=21*x^6+16*x^5+5*x^4+4*x^3+47*x^2+78*x+12", "y^2=11*x^6+10*x^5+64*x^4+73*x^3+33*x^2+38*x+18", "y^2=36*x^6+29*x^5+27*x^4+79*x^3+7*x^2+53*x+18", "y^2=27*x^6+59*x^5+21*x^4+75*x^3+12*x^2+23*x+1", "y^2=31*x^6+56*x^5+39*x^4+15*x^3+30*x^2+74*x+48", "y^2=4*x^6+7*x^5+77*x^4+55*x^3+48*x^2+76*x+68", "y^2=3*x^6+78*x^5+10*x^4+81*x^3+54*x^2+81*x+57", "y^2=54*x^6+69*x^5+75*x^4+56*x^3+20*x^2+61*x+55", "y^2=43*x^6+39*x^5+30*x^4+80*x^3+82*x^2+14*x+40", "y^2=11*x^6+74*x^5+56*x^4+53*x^3+54*x^2+62*x+54", "y^2=3*x^6+75*x^5+18*x^4+30*x^3+17*x^2+22*x+79", "y^2=63*x^6+79*x^5+16*x^4+41*x^3+26*x^2+60*x", "y^2=33*x^6+63*x^5+10*x^4+79*x^3+82*x^2+60*x+59", "y^2=81*x^6+9*x^5+56*x^4+56*x^3+64*x^2+58*x+27", "y^2=56*x^6+71*x^5+16*x^4+40*x^3+7*x^2+34", "y^2=11*x^6+37*x^5+46*x^4+37*x^3+47*x^2+21*x+16", "y^2=x^6+15*x^5+25*x^4+73*x^3+17*x^2+58*x+71", "y^2=34*x^6+3*x^5+48*x^4+33*x^3+21*x^2+73*x+44", "y^2=10*x^6+66*x^5+62*x^4+75*x^3+26*x^2+x+79", "y^2=48*x^6+62*x^5+24*x^4+56*x^3+67*x^2+21*x+46", "y^2=x^6+61*x^5+18*x^4+37*x^3+43*x^2+69*x+16", "y^2=76*x^6+48*x^5+28*x^4+61*x^3+33*x^2+68*x+48", "y^2=12*x^6+8*x^5+52*x^4+31*x^3+36*x^2+51*x+31", "y^2=42*x^6+60*x^5+69*x^4+25*x^3+63*x^2+17*x+38", "y^2=78*x^6+38*x^5+27*x^4+41*x^3+28*x^2+24*x+10", "y^2=49*x^6+80*x^5+16*x^4+9*x^3+25*x^2+80*x+25", "y^2=26*x^6+39*x^5+65*x^4+11*x^3+29*x^2+76*x+23", "y^2=78*x^6+40*x^5+50*x^4+37*x^3+x^2+40*x+52", "y^2=75*x^6+12*x^5+4*x^4+17*x^3+51*x^2+42*x+45", "y^2=25*x^6+9*x^5+65*x^4+8*x^3+53*x^2+48*x+35", "y^2=21*x^6+2*x^5+46*x^4+63*x^3+7*x^2+68*x+69", "y^2=5*x^6+68*x^5+2*x^4+20*x^3+3*x^2+48*x+69", "y^2=12*x^6+72*x^5+76*x^4+69*x^3+x^2+8*x+1", "y^2=56*x^6+80*x^5+30*x^4+17*x^3+20*x^2+71*x+24", "y^2=43*x^6+59*x^5+44*x^4+23*x^3+40*x^2+66*x+47", "y^2=36*x^6+39*x^5+54*x^4+6*x^3+23*x^2+42*x+63", "y^2=63*x^6+79*x^5+47*x^4+55*x^3+4*x^2+39*x+51", "y^2=70*x^6+7*x^5+26*x^4+59*x^3+78*x^2+69*x+34", "y^2=18*x^6+18*x^5+68*x^4+51*x^3+27*x^2+28*x+52", "y^2=20*x^6+15*x^5+15*x^4+28*x^3+38*x^2+53*x+32", "y^2=43*x^6+75*x^5+10*x^4+46*x^3+73*x^2+61*x+69", "y^2=18*x^6+6*x^5+74*x^4+76*x^3+71*x^2+39*x+53", "y^2=22*x^6+81*x^5+80*x^4+14*x^3+18*x^2+29*x+33", "y^2=70*x^6+47*x^5+82*x^4+70*x^3+11*x^2+73*x+53", "y^2=3*x^6+12*x^5+82*x^4+36*x^3+58*x^2+14*x+65", "y^2=82*x^6+29*x^5+53*x^4+71*x^3+80*x^2+15", "y^2=64*x^6+27*x^5+43*x^4+8*x^3+9*x^2+20*x+36", "y^2=5*x^6+10*x^5+74*x^4+24*x^3+65*x^2+23*x+63", "y^2=25*x^6+13*x^5+12*x^4+10*x^3+44*x^2+41*x+67", "y^2=4*x^6+79*x^5+74*x^4+16*x^3+80*x^2+36*x+69", "y^2=61*x^6+5*x^5+14*x^4+28*x^3+31*x^2+68*x+43", "y^2=77*x^6+24*x^5+15*x^4+24*x^3+5*x^2+21*x+41", "y^2=7*x^6+18*x^5+54*x^4+77*x^3+22*x^2+80*x+64", "y^2=22*x^6+73*x^5+51*x^4+16*x^3+54*x^2+11*x+29", "y^2=25*x^6+54*x^5+22*x^4+37*x^3+33*x^2+49*x+65", "y^2=21*x^6+53*x^5+73*x^4+28*x^3+7*x^2+30*x+21", "y^2=19*x^6+40*x^5+68*x^4+25*x^3+22*x^2+15*x+58", "y^2=61*x^6+77*x^5+44*x^4+75*x^3+36*x^2+72*x+73", "y^2=30*x^6+73*x^5+24*x^4+50*x^3+75*x^2+3*x+59", "y^2=33*x^6+9*x^5+26*x^4+32*x^3+52*x^2+70*x+7", "y^2=27*x^6+52*x^4+24*x^3+82*x^2+22*x+68", "y^2=42*x^6+40*x^5+73*x^4+32*x^3+35*x^2+9*x+14", "y^2=79*x^6+81*x^5+44*x^4+11*x^3+63*x^2+19*x+8", "y^2=63*x^6+76*x^5+43*x^4+50*x^3+31*x^2+60*x+26", "y^2=34*x^6+40*x^5+22*x^4+63*x^3+76*x^2+71*x+49", "y^2=48*x^6+37*x^5+16*x^4+56*x^3+9*x^2+67*x+32", "y^2=33*x^6+44*x^5+52*x^4+71*x^3+82*x^2+59*x+28", "y^2=77*x^6+14*x^5+69*x^4+71*x^3+75*x^2+15*x+43", "y^2=53*x^6+52*x^5+51*x^4+12*x^3+81*x^2+2*x+69", "y^2=5*x^6+55*x^5+69*x^4+47*x^3+43*x^2+53*x+31", "y^2=50*x^6+61*x^5+35*x^4+54*x^3+60*x^2+2*x+28", "y^2=70*x^6+67*x^5+20*x^4+29*x^3+6*x^2+35*x+21", "y^2=18*x^6+14*x^5+82*x^4+17*x^3+45*x^2+7*x+11", "y^2=17*x^6+70*x^5+37*x^4+64*x^3+71*x^2+27*x+22", "y^2=35*x^6+63*x^5+14*x^4+7*x^3+74*x^2+18*x+59", "y^2=51*x^6+45*x^5+73*x^4+40*x^3+35*x^2+32*x+64", "y^2=26*x^6+11*x^5+31*x^4+63*x^3+5*x^2+68*x+30", "y^2=22*x^6+23*x^5+18*x^4+29*x^3+76*x^2+51*x+61", "y^2=45*x^6+79*x^5+79*x^4+2*x^3+53*x^2+59*x+77", "y^2=60*x^5+41*x^4+42*x^3+50*x^2+2*x+52", "y^2=56*x^6+82*x^5+29*x^4+19*x^3+75*x^2+54*x+15", "y^2=70*x^6+68*x^5+22*x^4+82*x^3+43*x^2+42*x+14", "y^2=28*x^6+51*x^5+35*x^4+29*x^3+25*x^2+81*x+82", "y^2=61*x^6+62*x^5+4*x^4+2*x^3+68*x^2+73*x+7", "y^2=15*x^6+66*x^5+38*x^4+53*x^3+39*x^2+9*x+29", "y^2=51*x^6+22*x^5+72*x^4+2*x^3+14*x^2+65*x+20", "y^2=55*x^6+17*x^5+x^4+27*x^3+23*x^2+32*x+54", "y^2=47*x^6+42*x^5+47*x^4+56*x^3+48*x^2+31*x+25", "y^2=57*x^6+23*x^5+16*x^4+73*x^3+55*x^2+7*x+26", "y^2=38*x^5+52*x^4+63*x^3+9*x^2+82*x+25", "y^2=23*x^6+66*x^5+72*x^4+48*x^3+64*x^2+47*x+19", "y^2=28*x^6+2*x^5+10*x^4+34*x^3+14*x^2+34*x+41", "y^2=29*x^6+5*x^5+56*x^4+55*x^3+10*x^2+69*x+61", "y^2=37*x^6+61*x^5+69*x^4+43*x^3+4*x^2+31*x+62", "y^2=12*x^6+62*x^5+49*x^4+71*x^3+27*x^2+43*x+44", "y^2=64*x^6+15*x^5+20*x^4+46*x^3+10*x^2+68*x+31", "y^2=8*x^6+24*x^5+37*x^4+71*x^3+7*x^2+7*x", "y^2=65*x^6+26*x^5+36*x^4+16*x^3+35*x^2+3*x+59", "y^2=50*x^6+71*x^5+76*x^4+24*x^3+x^2+30*x+14", "y^2=74*x^6+64*x^5+48*x^4+28*x^3+18*x^2+21*x+61", "y^2=x^6+3*x^5+50*x^4+77*x^2+62*x+34", "y^2=15*x^5+51*x^4+15*x^3+60*x^2+40*x+20", "y^2=21*x^6+5*x^5+2*x^4+31*x^3+15*x+4", "y^2=70*x^6+14*x^5+26*x^4+22*x^3+47*x^2+45*x+60", "y^2=26*x^6+24*x^5+67*x^4+24*x^3+44*x^2+32*x+47", "y^2=65*x^6+14*x^5+50*x^4+25*x^3+36*x^2+44*x+11", "y^2=69*x^6+68*x^5+34*x^4+69*x^3+72*x^2+45*x+38", "y^2=75*x^6+27*x^5+43*x^4+69*x^3+12*x^2+55*x+74", "y^2=16*x^6+73*x^5+31*x^4+22*x^3+56*x^2+66*x+21", "y^2=80*x^6+2*x^5+57*x^4+32*x^3+62*x^2+17*x+78", "y^2=3*x^6+22*x^5+19*x^4+28*x^3+13*x^2+76*x+33", "y^2=40*x^6+37*x^5+31*x^4+18*x^3+57*x^2+51*x+5", "y^2=22*x^6+16*x^5+73*x^4+52*x^3+5*x^2+31*x+58", "y^2=23*x^6+59*x^5+32*x^4+27*x^3+68*x^2+80*x+82", "y^2=53*x^6+57*x^5+56*x^4+14*x^3+56*x^2+68*x+23", "y^2=59*x^6+57*x^5+2*x^4+28*x^3+4*x^2+25*x+4", "y^2=33*x^6+26*x^5+40*x^4+68*x^3+43*x^2+33*x+11", "y^2=39*x^6+75*x^5+72*x^4+51*x^3+64*x^2+32*x+47", "y^2=79*x^6+76*x^5+24*x^4+22*x^3+76*x^2+4*x+48", "y^2=62*x^6+71*x^5+14*x^4+20*x^3+27*x^2+45*x+43", "y^2=11*x^6+71*x^5+16*x^4+80*x^3+46*x^2+23*x+11", "y^2=26*x^6+71*x^5+17*x^4+29*x^3+17*x^2+44*x+65", "y^2=43*x^6+68*x^5+30*x^4+29*x^3+73*x^2+2*x+66", "y^2=78*x^6+36*x^5+4*x^4+79*x^3+23*x^2+11*x+24", "y^2=48*x^6+59*x^5+37*x^4+82*x^3+25*x^2+55*x+6", "y^2=54*x^6+82*x^5+3*x^4+51*x^3+75*x^2+65*x+15", "y^2=32*x^6+21*x^5+54*x^4+34*x^3+35*x^2+51*x+14", "y^2=31*x^6+42*x^5+5*x^4+25*x^3+32*x^2+33*x+15", "y^2=71*x^6+55*x^5+11*x^4+36*x^3+76*x^2+64*x+45", "y^2=23*x^6+4*x^5+32*x^4+9*x^3+31*x^2+41*x+18", "y^2=48*x^6+37*x^5+43*x^4+21*x^3+12*x^2+48*x+7", "y^2=81*x^6+41*x^5+14*x^4+78*x^3+14*x^2+46*x+67", "y^2=61*x^6+71*x^5+32*x^4+76*x^3+72*x^2+22*x+21", "y^2=65*x^6+41*x^5+18*x^4+31*x^3+30*x^2+37*x+79", "y^2=51*x^6+31*x^5+35*x^4+33*x^3+82*x^2+15*x+5", "y^2=8*x^6+7*x^5+72*x^4+13*x^3+28*x^2+13*x+52", "y^2=67*x^6+75*x^5+25*x^4+81*x^3+4*x^2+43*x+27", "y^2=36*x^6+8*x^5+53*x^4+24*x^3+80*x^2+29*x+22", "y^2=52*x^6+24*x^5+43*x^4+9*x^3+20*x^2+56*x+82", "y^2=32*x^6+14*x^5+61*x^4+18*x^3+6*x^2+81*x+28", "y^2=71*x^6+21*x^5+40*x^4+74*x^3+46*x^2+68*x+1", "y^2=71*x^6+64*x^5+81*x^4+25*x^3+72*x^2+7*x+58", "y^2=21*x^6+46*x^5+67*x^4+33*x^3+54*x^2+66*x+29", "y^2=19*x^6+31*x^5+12*x^4+31*x^3+48*x^2+5*x+78", "y^2=12*x^6+40*x^5+38*x^4+23*x^3+49*x^2+64*x+8", "y^2=14*x^6+57*x^5+52*x^4+6*x^3+4*x^2+49*x+21", "y^2=29*x^6+31*x^5+79*x^4+29*x^3+71*x^2+78*x+80", "y^2=3*x^6+6*x^5+29*x^4+27*x^3+42*x^2+32*x+5", "y^2=13*x^6+46*x^5+26*x^4+17*x^3+44*x^2+71*x+13", "y^2=23*x^6+52*x^5+12*x^4+77*x^3+72*x^2+49*x+47", "y^2=7*x^6+79*x^5+32*x^4+46*x^3+x^2+72*x+50", "y^2=76*x^6+80*x^5+8*x^4+11*x^3+24*x^2+67*x+64", "y^2=59*x^6+70*x^5+42*x^4+74*x^3+80*x^2+32*x+78", "y^2=29*x^6+34*x^5+2*x^4+58*x^3+45*x^2+25*x+22", "y^2=36*x^6+82*x^5+13*x^4+44*x^3+62*x^2+72*x+32", "y^2=36*x^6+6*x^5+42*x^4+18*x^3+61*x^2+75*x+45", "y^2=21*x^6+36*x^5+63*x^4+9*x^3+51*x^2+60*x+35", "y^2=31*x^6+23*x^5+39*x^4+81*x^3+66*x^2+17*x+15", "y^2=47*x^6+57*x^5+59*x^4+37*x^3+38*x^2+82*x+71", "y^2=15*x^6+75*x^5+38*x^4+48*x^3+66*x^2+74*x+57", "y^2=31*x^6+80*x^5+80*x^4+79*x^3+64*x^2+19*x+9", "y^2=75*x^6+36*x^5+59*x^4+38*x^2+40*x+74", "y^2=79*x^6+73*x^5+15*x^4+63*x^3+41*x^2+14*x+70", "y^2=33*x^6+72*x^5+54*x^4+36*x^3+75*x^2+66*x+62", "y^2=68*x^6+12*x^5+31*x^4+54*x^3+40*x^2+8*x+39", "y^2=5*x^6+4*x^5+16*x^4+12*x^3+25*x^2+71*x+4", "y^2=11*x^6+20*x^5+39*x^4+80*x^3+2*x^2+46*x+68", "y^2=23*x^6+30*x^5+56*x^4+24*x^3+51*x^2+16*x+24", "y^2=27*x^6+25*x^5+29*x^4+57*x^3+51*x^2+46*x+24", "y^2=46*x^6+14*x^5+19*x^4+10*x^3+21*x^2+69*x+65", "y^2=21*x^6+8*x^5+80*x^4+44*x^3+54*x^2+53*x+30", "y^2=68*x^6+61*x^5+12*x^4+79*x^3+41*x^2+50*x+78", "y^2=28*x^6+38*x^5+5*x^4+12*x^3+16*x^2+38", "y^2=68*x^6+37*x^5+3*x^4+26*x^3+80*x^2+57*x+62", "y^2=70*x^6+20*x^5+46*x^4+21*x^3+8*x^2+31*x+21", "y^2=59*x^6+24*x^5+71*x^4+5*x^3+71*x^2+14*x+66", "y^2=42*x^6+3*x^5+67*x^4+81*x^3+57*x^2+54*x+9", "y^2=64*x^6+69*x^5+45*x^4+14*x^3+74*x^2+33*x+18", "y^2=15*x^6+70*x^5+44*x^4+30*x^3+29*x^2+43*x+34", "y^2=68*x^6+80*x^5+67*x^4+16*x^3+38*x^2+34*x+51", "y^2=68*x^6+75*x^5+73*x^4+74*x^3+42*x^2+12*x+62", "y^2=55*x^6+26*x^5+32*x^4+65*x^3+58*x^2+58*x+32", "y^2=5*x^5+61*x^4+82*x^3+33*x^2+10*x+40", "y^2=59*x^6+47*x^5+40*x^4+49*x^3+28*x+72", "y^2=50*x^6+48*x^5+31*x^4+70*x^3+81*x^2+15*x+28", "y^2=73*x^6+9*x^5+28*x^4+62*x^3+32*x^2+54*x+44", "y^2=50*x^6+31*x^5+27*x^4+59*x^3+61*x^2+81*x+18", "y^2=23*x^6+22*x^5+27*x^4+12*x^3+x^2+72*x+48", "y^2=75*x^6+10*x^5+5*x^4+35*x^3+57*x^2+40*x+75", "y^2=30*x^6+22*x^5+66*x^4+52*x^3+53*x^2+11*x", "y^2=32*x^6+73*x^5+71*x^4+68*x^3+24*x^2+47*x+32", "y^2=42*x^6+21*x^5+27*x^4+6*x^3+44*x^2+59*x+75", "y^2=22*x^6+66*x^5+30*x^4+70*x^3+71*x^2+31*x+71", "y^2=15*x^6+41*x^5+32*x^4+28*x^3+79*x^2+42*x+76", "y^2=7*x^6+27*x^5+33*x^4+30*x^3+2*x^2+55*x+46", "y^2=20*x^6+81*x^5+78*x^4+72*x^3+55*x^2+3*x+75", "y^2=62*x^6+34*x^5+82*x^4+69*x^3+25*x^2+49*x+51", "y^2=68*x^6+41*x^5+45*x^4+10*x^3+64*x^2+68*x+69", "y^2=10*x^6+37*x^5+30*x^4+65*x^3+14*x^2+53*x+38", "y^2=4*x^6+21*x^5+24*x^4+50*x^3+77*x^2+41*x+73", "y^2=72*x^6+60*x^5+51*x^4+32*x^3+16*x^2+73*x+77", "y^2=77*x^6+74*x^5+3*x^4+43*x^3+58*x^2+19*x+57", "y^2=14*x^6+45*x^5+50*x^4+37*x^3+44*x^2+59*x+12", "y^2=18*x^6+8*x^4+31*x^3+44*x^2+56*x+36", "y^2=55*x^6+39*x^5+53*x^4+34*x^3+65*x^2+46*x+52", "y^2=65*x^6+39*x^5+39*x^4+3*x^3+11*x^2+52*x+5", "y^2=16*x^6+30*x^5+19*x^4+51*x^3+32*x^2+66*x+60", "y^2=36*x^6+57*x^5+61*x^4+78*x^3+70*x^2+6*x+39", "y^2=25*x^6+14*x^5+64*x^4+8*x^3+42*x^2+24*x+12", "y^2=63*x^6+17*x^5+71*x^4+27*x^3+33*x^2+62*x+39", "y^2=72*x^6+57*x^5+77*x^4+73*x^3+62*x^2+68*x+5", "y^2=x^6+79*x^5+24*x^4+74*x^3+2*x^2+26*x+4", "y^2=2*x^6+31*x^5+74*x^4+41*x^3+24*x^2+14*x", "y^2=45*x^6+2*x^5+56*x^4+57*x^3+31*x^2+16*x+36", "y^2=x^6+79*x^5+50*x^4+56*x^3+68*x^2+20*x+7", "y^2=15*x^6+9*x^5+77*x^4+77*x^3+22*x^2+14*x+68", "y^2=53*x^6+53*x^5+69*x^4+48*x^3+19*x^2+42*x+12", "y^2=24*x^6+79*x^5+26*x^4+35*x^3+50*x^2+78*x+73", "y^2=19*x^6+12*x^5+30*x^4+70*x^3+82*x^2+61*x+23", "y^2=37*x^6+69*x^5+40*x^4+16*x^3+29*x^2+46*x+68", "y^2=16*x^6+29*x^5+15*x^4+75*x^3+17*x^2+73*x+31", "y^2=39*x^6+37*x^5+16*x^4+53*x^3+52*x^2+78*x+78", "y^2=59*x^6+23*x^5+51*x^4+59*x^3+33*x^2+21*x+39", "y^2=57*x^6+26*x^5+28*x^4+63*x^3+65*x^2+39*x+68", "y^2=67*x^6+26*x^5+64*x^4+76*x^3+63*x^2+15*x+72", "y^2=41*x^6+9*x^5+25*x^4+5*x^3+37*x^2+21*x+48", "y^2=34*x^6+69*x^5+45*x^4+46*x^3+23*x^2+3*x+81", "y^2=51*x^6+80*x^5+59*x^4+16*x^3+16*x^2+x", "y^2=37*x^6+65*x^5+64*x^4+10*x^3+61*x^2+37*x+49", "y^2=39*x^6+x^5+71*x^4+33*x^3+46*x^2+71*x+21", "y^2=54*x^6+61*x^5+55*x^4+45*x^3+20*x^2+48*x+54", "y^2=77*x^6+8*x^5+36*x^4+31*x^3+28*x^2+9*x+40", "y^2=55*x^6+55*x^5+74*x^4+56*x^3+41*x^2+39*x+65", "y^2=16*x^6+2*x^5+17*x^4+36*x^3+29*x^2+59*x+19", "y^2=47*x^6+55*x^5+78*x^4+24*x^3+5*x^2+31*x+7", "y^2=9*x^6+71*x^5+37*x^4+38*x^3+79*x^2+21*x+81", "y^2=46*x^6+56*x^5+48*x^4+81*x^3+54*x^2+28*x+8", "y^2=74*x^6+16*x^5+2*x^4+53*x^3+57*x^2+55*x+49", "y^2=11*x^6+62*x^5+65*x^4+40*x^3+64*x^2+80*x+73", "y^2=16*x^6+57*x^5+67*x^4+18*x^3+32*x^2+65*x+21", "y^2=11*x^6+46*x^5+65*x^4+76*x^3+77*x^2+77*x+49", "y^2=82*x^6+74*x^5+37*x^4+67*x^3+77*x^2+30*x+16", "y^2=81*x^6+60*x^5+13*x^4+26*x^3+33*x^2+3*x+29", "y^2=31*x^6+62*x^5+79*x^4+20*x^2+30*x+5", "y^2=69*x^6+74*x^5+31*x^4+47*x^3+38*x^2+58*x+29", "y^2=x^6+78*x^5+67*x^4+68*x^3+65*x^2+x+74", "y^2=34*x^6+58*x^5+76*x^4+52*x^3+26*x^2+9*x+32", "y^2=35*x^6+63*x^5+71*x^4+32*x^3+73*x^2+36*x+52", "y^2=17*x^6+7*x^5+76*x^4+28*x^3+27*x^2+67*x+33", "y^2=69*x^6+55*x^5+40*x^4+30*x^3+6*x^2+41", "y^2=66*x^6+22*x^5+72*x^4+22*x^3+33*x^2+62*x+65", "y^2=65*x^6+6*x^5+82*x^4+55*x^3+9*x^2+6*x+75", "y^2=81*x^6+56*x^5+45*x^4+43*x^3+30*x^2+35*x+26", "y^2=7*x^6+22*x^5+44*x^4+14*x^3+66*x^2+9*x+77", "y^2=7*x^6+28*x^5+39*x^4+72*x^3+2*x^2+67*x+69", "y^2=42*x^6+3*x^5+19*x^4+74*x^3+42*x^2+32*x+1", "y^2=53*x^6+5*x^5+11*x^4+70*x^3+31*x^2+17*x+4", "y^2=43*x^6+63*x^5+43*x^4+49*x^3+12*x^2+61*x+17", "y^2=64*x^6+15*x^5+60*x^4+13*x^3+79*x^2+77*x+25", "y^2=74*x^6+2*x^5+33*x^4+50*x^3+41*x^2+35*x+24", "y^2=41*x^6+10*x^5+42*x^4+78*x^3+69*x^2+7*x+75", "y^2=9*x^6+39*x^5+37*x^4+40*x^3+11*x^2+81*x+51", "y^2=62*x^6+30*x^5+26*x^4+76*x^3+48*x^2+57*x+33", "y^2=75*x^6+21*x^5+76*x^4+44*x^3+43*x^2+72*x+24", "y^2=3*x^6+44*x^5+29*x^4+29*x^3+61*x^2+59*x+43", "y^2=36*x^6+29*x^5+5*x^4+14*x^3+21*x^2+69*x+15", "y^2=55*x^6+17*x^4+41*x^3+x^2+72*x+49", "y^2=41*x^6+74*x^5+54*x^4+19*x^3+62*x^2+59*x+28", "y^2=39*x^6+2*x^5+25*x^4+36*x^3+73*x^2+56*x+42", "y^2=44*x^6+81*x^5+44*x^4+4*x^3+5*x^2+71*x+48", "y^2=44*x^6+19*x^5+54*x^4+11*x^3+9*x^2+54*x+50", "y^2=69*x^6+19*x^4+79*x^3+80*x^2+36*x+78", "y^2=13*x^5+2*x^4+74*x^3+48*x^2+22*x+2", "y^2=7*x^6+15*x^5+17*x^4+40*x^3+10*x^2+46*x+11", "y^2=27*x^6+36*x^5+79*x^4+3*x^3+50*x^2+39*x+38", "y^2=73*x^6+59*x^5+10*x^4+26*x^3+52*x^2+64*x+21", "y^2=75*x^6+74*x^5+25*x^4+17*x^3+28*x^2+40*x+27", "y^2=40*x^6+33*x^5+28*x^4+59*x^3+20*x^2+51*x+20", "y^2=72*x^6+41*x^5+52*x^4+35*x^3+33*x^2+68*x+25", "y^2=39*x^6+76*x^5+38*x^4+67*x^3+79*x^2+75*x+12", "y^2=52*x^6+13*x^5+70*x^4+5*x^3+x^2+26*x+49", "y^2=2*x^6+29*x^5+42*x^4+69*x^3+13*x^2+52*x+5", "y^2=22*x^6+32*x^5+51*x^4+5*x^3+67*x^2+47*x+48", "y^2=52*x^6+55*x^5+4*x^4+70*x^3+42*x^2+77*x+57", "y^2=38*x^6+53*x^5+32*x^4+13*x^3+70*x^2+11*x+43", "y^2=35*x^6+57*x^5+72*x^4+29*x^3+12*x^2+26*x+62", "y^2=12*x^6+9*x^5+4*x^4+45*x^3+61*x^2+38*x+9", "y^2=3*x^6+25*x^5+60*x^4+42*x^3+12*x^2+73*x+25"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 18, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 3, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.251.1"], "geometric_splitting_field": "2.0.251.1", "geometric_splitting_polynomials": [[63, -1, 1]], "group_structure_count": 4, "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 336, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 336, "label": "2.83.j_gk", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 1, "number_fields": ["2.0.83.1", "2.0.251.1"], "p": 83, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, 9, 166, 747, 6889], "poly_str": "1 9 166 747 6889 ", "primitive_models": [], "q": 83, "real_poly": [1, 9], "simple_distinct": ["1.83.a", "1.83.j"], "simple_factors": ["1.83.aA", "1.83.jA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,5*F+2", "3,-2*V+4", "2,-F+9"], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.434013889.1", "splitting_polynomials": [[1764, 0, 167, 0, 1]], "twist_count": 2, "twists": [["2.83.aj_gk", "2.6889.jr_bpgq", 2]], "weak_equivalence_count": 18, "zfv_index": 162, "zfv_index_factorization": [[2, 1], [3, 4]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 83332, "zfv_singular_count": 6, "zfv_singular_primes": ["3,5*F+2", "3,-2*V+4", "2,-F+9"]}