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av_fq_isog • Show schema
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{'abvar_count': 7056, 'abvar_counts': [7056, 49787136, 326941516944, 2250984755367936, 15516041195083934736, 106890755501643839099136, 736365263311690758163578384, 5072819871393846311587061760000, 34946659039493167764703907772483216, 240747534367541697667941944079907389696], 'abvar_counts_str': '7056 49787136 326941516944 2250984755367936 15516041195083934736 106890755501643839099136 736365263311690758163578384 5072819871393846311587061760000 34946659039493167764703907772483216 240747534367541697667941944079907389696 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.5, 0.5], 'center_dim': 2, 'curve_count': 84, 'curve_counts': [84, 7222, 571788, 47430766, 3939040644, 326942660518, 27136050989628, 2252292042305758, 186940255267540404, 15516041202962016022], 'curve_counts_str': '84 7222 571788 47430766 3939040644 326942660518 27136050989628 2252292042305758 186940255267540404 15516041202962016022 ', 'curves': ['y^2=41*x^6+11*x^5+27*x^4+10*x^3+7*x^2+82*x+46', 'y^2=82*x^6+22*x^5+54*x^4+20*x^3+14*x^2+81*x+9', 'y^2=18*x^6+56*x^5+12*x^4+33*x^3+37*x^2+20*x+43', 'y^2=36*x^6+29*x^5+24*x^4+66*x^3+74*x^2+40*x+3', 'y^2=74*x^6+70*x^5+23*x^4+46*x^2+52*x+11', 'y^2=38*x^6+73*x^5+63*x^4+55*x^3+82*x^2+29*x+22', 'y^2=76*x^6+63*x^5+43*x^4+27*x^3+81*x^2+58*x+44', 'y^2=3*x^6+59*x^5+7*x^4+28*x^3+60*x^2+26*x+41', 'y^2=6*x^6+35*x^5+14*x^4+56*x^3+37*x^2+52*x+82', 'y^2=5*x^6+54*x^5+47*x^4+19*x^3+69*x^2+3*x+3', 'y^2=10*x^6+25*x^5+11*x^4+38*x^3+55*x^2+6*x+6', 'y^2=13*x^6+62*x^5+4*x^4+69*x^3+29*x^2+53*x+22', 'y^2=26*x^6+41*x^5+8*x^4+55*x^3+58*x^2+23*x+44', 'y^2=4*x^6+70*x^5+26*x^4+29*x^3+26*x^2+70*x+4', 'y^2=8*x^6+57*x^5+52*x^4+58*x^3+52*x^2+57*x+8', 'y^2=60*x^6+11*x^5+80*x^4+77*x^2+39*x+65', 'y^2=18*x^6+67*x^5+75*x^4+48*x^3+38*x^2+54*x+24', 'y^2=36*x^6+51*x^5+67*x^4+13*x^3+76*x^2+25*x+48', 'y^2=60*x^6+8*x^5+12*x^4+13*x^3+12*x^2+8*x+60', 'y^2=37*x^6+16*x^5+24*x^4+26*x^3+24*x^2+16*x+37', 'y^2=x^6+x^3+10', 'y^2=2*x^6+2*x^3+20', 'y^2=2*x^6+68*x^5+59*x^4+27*x^3+27*x^2+29*x+50', 'y^2=4*x^6+53*x^5+35*x^4+54*x^3+54*x^2+58*x+17', 'y^2=68*x^6+28*x^5+46*x^4+71*x^3+10*x^2+15*x+38', 'y^2=53*x^6+56*x^5+9*x^4+59*x^3+20*x^2+30*x+76', 'y^2=14*x^6+55*x^5+38*x^4+5*x^2+18*x+78', 'y^2=28*x^6+27*x^5+76*x^4+10*x^2+36*x+73', 'y^2=52*x^6+46*x^5+73*x^4+58*x^3+48*x^2+44*x+40', 'y^2=21*x^6+9*x^5+63*x^4+33*x^3+13*x^2+5*x+80', 'y^2=x^6+82', 'y^2=x^6+75', 'y^2=2*x^6+67', 'y^2=12*x^5+20*x^3+3*x', 'y^2=62*x^6+66*x^5+13*x^4+46*x^3+x^2+22*x+25', 'y^2=5*x^6+46*x^5+55*x^4+21*x^3+73*x^2+66*x+42', 'y^2=10*x^6+9*x^5+27*x^4+42*x^3+63*x^2+49*x+1', 'y^2=82*x^6+67*x^5+74*x^4+13*x^3+74*x^2+67*x+82', 'y^2=81*x^6+51*x^5+65*x^4+26*x^3+65*x^2+51*x+81', 'y^2=x^6+x^3+73', 'y^2=66*x^6+57*x^5+37*x^4+3*x^3+19*x^2+14*x+33', 'y^2=57*x^6+20*x^5+62*x^4+17*x^3+6*x^2+27*x+77', 'y^2=31*x^6+40*x^5+41*x^4+34*x^3+12*x^2+54*x+71', 'y^2=59*x^6+10*x^5+13*x^4+60*x^3+25*x^2+50*x+66', 'y^2=35*x^6+20*x^5+26*x^4+37*x^3+50*x^2+17*x+49', 'y^2=78*x^6+62*x^5+43*x^4+6*x^3+41*x^2+42*x+61', 'y^2=73*x^6+41*x^5+3*x^4+12*x^3+82*x^2+x+39', 'y^2=70*x^6+25*x^5+64*x^4+10*x^3+53*x^2+12*x+67', 'y^2=57*x^6+50*x^5+45*x^4+20*x^3+23*x^2+24*x+51', 'y^2=18*x^6+63*x^5+37*x^4+60*x^3+7*x^2+73*x+27', 'y^2=36*x^6+43*x^5+74*x^4+37*x^3+14*x^2+63*x+54', 'y^2=34*x^6+48*x^4+11*x^3+69*x^2+46', 'y^2=68*x^6+13*x^4+22*x^3+55*x^2+9', 'y^2=7*x^6+56*x^5+43*x^4+78*x^3+43*x^2+56*x+7', 'y^2=14*x^6+29*x^5+3*x^4+73*x^3+3*x^2+29*x+14', 'y^2=48*x^6+25*x^5+49*x^4+25*x^3+38*x^2+70*x+7', 'y^2=13*x^6+50*x^5+15*x^4+50*x^3+76*x^2+57*x+14', 'y^2=4*x^6+13*x^5+12*x^4+37*x^3+12*x^2+13*x+4', 'y^2=8*x^6+26*x^5+24*x^4+74*x^3+24*x^2+26*x+8', 'y^2=3*x^6+49*x^5+69*x^4+6*x^3+3*x^2+23*x+17', 'y^2=6*x^6+15*x^5+55*x^4+12*x^3+6*x^2+46*x+34', 'y^2=3*x^6+24*x^5+12*x^4+9*x^3+12*x^2+24*x+3', 'y^2=6*x^6+48*x^5+24*x^4+18*x^3+24*x^2+48*x+6', 'y^2=66*x^6+2*x^5+11*x^4+31*x^3+37*x^2+2*x+42', 'y^2=49*x^6+4*x^5+22*x^4+62*x^3+74*x^2+4*x+1', 'y^2=x^6+x^3+40', 'y^2=2*x^6+2*x^3+80', 'y^2=45*x^6+78*x^5+73*x^4+61*x^3+53*x^2+38*x+53', 'y^2=7*x^6+73*x^5+63*x^4+39*x^3+23*x^2+76*x+23', 'y^2=25*x^6+71*x^5+47*x^4+18*x^3+x^2+73*x+39', 'y^2=62*x^6+16*x^5+46*x^4+66*x^3+71*x^2+40*x+57', 'y^2=41*x^6+32*x^5+9*x^4+49*x^3+59*x^2+80*x+31', 'y^2=21*x^6+68*x^5+8*x^4+31*x^3+8*x^2+68*x+21', 'y^2=42*x^6+53*x^5+16*x^4+62*x^3+16*x^2+53*x+42', 'y^2=63*x^6+7*x^5+34*x^4+7*x^3+76*x^2+12*x+51', 'y^2=43*x^6+14*x^5+68*x^4+14*x^3+69*x^2+24*x+19', 'y^2=29*x^6+45*x^5+13*x^4+25*x^3+13*x^2+45*x+29', 'y^2=58*x^6+7*x^5+26*x^4+50*x^3+26*x^2+7*x+58', 'y^2=28*x^6+5*x^5+46*x^4+21*x^3+67*x^2+35*x+66', 'y^2=56*x^6+10*x^5+9*x^4+42*x^3+51*x^2+70*x+49', 'y^2=13*x^6+59*x^5+32*x^4+48*x^3+51*x^2+59*x+70', 'y^2=38*x^6+31*x^5+26*x^4+65*x^3+x^2+51*x+23', 'y^2=76*x^6+62*x^5+52*x^4+47*x^3+2*x^2+19*x+46', 'y^2=53*x^6+12*x^5+59*x^4+41*x^3+59*x^2+12*x+53', 'y^2=23*x^6+24*x^5+35*x^4+82*x^3+35*x^2+24*x+23', 'y^2=4*x^6+64*x^5+5*x^4+37*x^3+55*x^2+3*x+39', 'y^2=8*x^6+45*x^5+10*x^4+74*x^3+27*x^2+6*x+78', 'y^2=5*x^6+43*x^5+21*x^4+66*x^3+44*x^2+67*x+20', 'y^2=10*x^6+3*x^5+42*x^4+49*x^3+5*x^2+51*x+40', 'y^2=56*x^5+9*x^4+52*x^3+9*x^2+56*x', 'y^2=29*x^5+18*x^4+21*x^3+18*x^2+29*x', 'y^2=46*x^6+40*x^5+49*x^4+64*x^3+67*x^2+41*x+67', 'y^2=9*x^6+80*x^5+15*x^4+45*x^3+51*x^2+82*x+51', 'y^2=46*x^6+11*x^5+37*x^4+6*x^3+18*x^2+63*x', 'y^2=9*x^6+22*x^5+74*x^4+12*x^3+36*x^2+43*x', 'y^2=77*x^6+66*x^5+63*x^4+42*x^3+62*x^2+69*x+35', 'y^2=71*x^6+49*x^5+43*x^4+x^3+41*x^2+55*x+70', 'y^2=29*x^6+25*x^5+66*x^4+5*x^3+42*x^2+19*x+26', 'y^2=58*x^6+50*x^5+49*x^4+10*x^3+x^2+38*x+52', 'y^2=26*x^6+13*x^5+28*x^4+67*x^3+11*x^2+70*x+50', 'y^2=52*x^6+26*x^5+56*x^4+51*x^3+22*x^2+57*x+17', 'y^2=24*x^6+19*x^5+42*x^4+48*x^3+61*x^2+29*x+23', 'y^2=48*x^6+38*x^5+x^4+13*x^3+39*x^2+58*x+46', 'y^2=16*x^6+38*x^5+82*x^4+37*x^3+79*x^2+26*x+56', 'y^2=32*x^6+76*x^5+81*x^4+74*x^3+75*x^2+52*x+29', 'y^2=79*x^6+18*x^5+30*x^4+72*x^3+33*x^2+68*x+32', 'y^2=75*x^6+36*x^5+60*x^4+61*x^3+66*x^2+53*x+64', 'y^2=70*x^6+39*x^5+52*x^4+24*x^3+18*x^2+67*x+16', 'y^2=57*x^6+78*x^5+21*x^4+48*x^3+36*x^2+51*x+32', 'y^2=59*x^6+45*x^4+45*x^2+59', 'y^2=35*x^6+7*x^4+7*x^2+35', 'y^2=59*x^6+7*x^4+14*x^2+57', 'y^2=26*x^6+5*x^4+10*x^2+42', 'y^2=18*x^6+53*x^5+82*x^4+40*x^3+25*x^2+66*x+8', 'y^2=36*x^6+23*x^5+81*x^4+80*x^3+50*x^2+49*x+16', 'y^2=75*x^6+80*x^5+43*x^4+52*x^3+47*x^2+62*x+3', 'y^2=67*x^6+77*x^5+3*x^4+21*x^3+11*x^2+41*x+6', 'y^2=69*x^6+71*x^5+40*x^4+55*x^3+27*x^2+2*x+2', 'y^2=55*x^6+59*x^5+80*x^4+27*x^3+54*x^2+4*x+4', 'y^2=x^6+x^3+3', 'y^2=2*x^6+2*x^3+6', 'y^2=24*x^6+38*x^5+x^4+82*x^3+68*x^2+x+8', 'y^2=48*x^6+76*x^5+2*x^4+81*x^3+53*x^2+2*x+16', 'y^2=x^6+x^3+81', 'y^2=2*x^6+2*x^3+79', 'y^2=82*x^6+74*x^5+37*x^4+30*x^3+64*x^2+24*x+42', 'y^2=81*x^6+65*x^5+74*x^4+60*x^3+45*x^2+48*x+1', 'y^2=81*x^6+81*x^5+67*x^4+50*x^3+42*x^2+39*x+13', 'y^2=79*x^6+79*x^5+51*x^4+17*x^3+x^2+78*x+26', 'y^2=48*x^6+78*x^5+20*x^4+58*x^3+58*x^2+70*x+10', 'y^2=13*x^6+73*x^5+40*x^4+33*x^3+33*x^2+57*x+20', 'y^2=x^6+23*x^5+10*x^4+66*x^3+10*x^2+23*x+1', 'y^2=2*x^6+46*x^5+20*x^4+49*x^3+20*x^2+46*x+2', 'y^2=26*x^6+80*x^5+40*x^4+21*x^3+15*x^2+32*x+62', 'y^2=35*x^6+54*x^5+42*x^4+54*x^3+52*x^2+53*x+53', 'y^2=70*x^6+25*x^5+x^4+25*x^3+21*x^2+23*x+23', 'y^2=69*x^6+61*x^5+43*x^4+54*x^3+16*x+73', 'y^2=55*x^6+39*x^5+3*x^4+25*x^3+32*x+63', 'y^2=46*x^6+27*x^4+27*x^2+46', 'y^2=9*x^6+54*x^4+54*x^2+9', 'y^2=46*x^6+54*x^4+25*x^2+36', 'y^2=39*x^6+41*x^4+82*x^2+63', 'y^2=3*x^6+73*x^5+82*x^4+60*x^2+29*x+14', 'y^2=6*x^6+63*x^5+81*x^4+37*x^2+58*x+28', 'y^2=77*x^6+77*x^5+32*x^4+2*x^3+29*x^2+55*x+21', 'y^2=71*x^6+71*x^5+64*x^4+4*x^3+58*x^2+27*x+42', 'y^2=50*x^6+5*x^5+48*x^4+31*x^3+32*x^2+49*x+3', 'y^2=17*x^6+10*x^5+13*x^4+62*x^3+64*x^2+15*x+6', 'y^2=47*x^6+8*x^5+7*x^4+43*x^3+71*x^2+10*x+6', 'y^2=11*x^6+16*x^5+14*x^4+3*x^3+59*x^2+20*x+12', 'y^2=58*x^5+26*x^4+9*x^3+14*x^2+49*x+38', 'y^2=33*x^5+52*x^4+18*x^3+28*x^2+15*x+76', 'y^2=25*x^6+19*x^5+44*x^4+36*x^3+80*x^2+45*x+82', 'y^2=50*x^6+38*x^5+5*x^4+72*x^3+77*x^2+7*x+81', 'y^2=65*x^6+67*x^5+23*x^4+78*x^3+12*x^2+6*x+36', 'y^2=47*x^6+51*x^5+46*x^4+73*x^3+24*x^2+12*x+72', 'y^2=66*x^6+52*x^5+25*x^4+31*x^3+25*x^2+52*x+66', 'y^2=49*x^6+21*x^5+50*x^4+62*x^3+50*x^2+21*x+49', 'y^2=x^6+x^3+60', 'y^2=75*x^6+68*x^5+70*x^4+74*x^3+69*x^2+16*x+16', 'y^2=67*x^6+53*x^5+57*x^4+65*x^3+55*x^2+32*x+32', 'y^2=29*x^6+82*x^5+27*x^4+59*x^3+27*x^2+82*x+29', 'y^2=58*x^6+81*x^5+54*x^4+35*x^3+54*x^2+81*x+58', 'y^2=43*x^6+36*x^5+64*x^4+54*x^3+77*x^2+59*x+39', 'y^2=3*x^6+72*x^5+45*x^4+25*x^3+71*x^2+35*x+78', 'y^2=x^6+64*x^5+44*x^4+75*x^3+44*x^2+64*x+1', 'y^2=2*x^6+45*x^5+5*x^4+67*x^3+5*x^2+45*x+2', 'y^2=44*x^6+37*x^4+37*x^2+44', 'y^2=5*x^6+74*x^4+74*x^2+5', 'y^2=44*x^6+74*x^4+65*x^2+20', 'y^2=41*x^6+21*x^4+42*x^2+79', 'y^2=x^6+x^3+26', 'y^2=2*x^6+2*x^3+52', 'y^2=33*x^6+72*x^5+63*x^4+79*x^3+75*x^2+58*x+30', 'y^2=66*x^6+61*x^5+43*x^4+75*x^3+67*x^2+33*x+60', 'y^2=78*x^6+10*x^5+62*x^4+62*x^3+66*x^2+9*x+26', 'y^2=73*x^6+20*x^5+41*x^4+41*x^3+49*x^2+18*x+52', 'y^2=26*x^6+50*x^5+39*x^4+68*x^3+39*x^2+50*x+26', 'y^2=52*x^6+17*x^5+78*x^4+53*x^3+78*x^2+17*x+52'], 'dim1_distinct': 1, '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, 'g': 2, 'galois_groups': ['2T1'], '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': 1, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 179, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': True, 'jacobian_count': 179, 'label': '2.83.a_gk', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 12, 'newton_coelevation': 0, 'newton_elevation': 2, 'number_fields': ['2.0.83.1'], 'p': 83, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, 166, 0, 6889], 'poly_str': '1 0 166 0 6889 ', 'primitive_models': [], 'q': 83, 'real_poly': [1], 'simple_distinct': ['1.83.a'], 'simple_factors': ['1.83.aA', '1.83.aB'], 'simple_multiplicities': [2], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '2.0.83.1', 'splitting_polynomials': [[21, -1, 1]], 'twist_count': 5, 'twists': [['2.83.a_adf', '2.571787.a_cnbrq', 3], ['2.83.a_agk', '2.47458321.abotw_xzdbsg', 4], ['2.83.a_a', '2.2252292232139041.apzksme_drsyqznibfkg', 8], ['2.83.a_df', '2.106890007738661124410161.aggvkevehw_osjsscovlzutialcg', 12]]}
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av_fq_endalg_factors • Show schema
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id: 108790
{'base_label': '2.83.a_gk', 'extension_degree': 1, 'extension_label': '1.83.a', 'multiplicity': 2}
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id: 108791
{'base_label': '2.83.a_gk', 'extension_degree': 2, 'extension_label': '1.6889.gk', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.83.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.83.a', 'galois_group': '2T1', 'places': [['41', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.6889.gk', 'galois_group': '1T1', 'places': [['0']]}
