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av_fq_isog • Show schema
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{'abvar_count': 9992, 'abvar_counts': [9992, 92006336, 832013386376, 7834878299503616, 73743584734436086152, 693843962206135043521472, 6528361762846471815383482376, 61425364590092885949677899071488, 577951263101882625578155236160702472, 5437943429426984212428153207508125230016], 'abvar_counts_str': '9992 92006336 832013386376 7834878299503616 73743584734436086152 693843962206135043521472 6528361762846471815383482376 61425364590092885949677899071488 577951263101882625578155236160702472 5437943429426984212428153207508125230016 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.486608886611451, 0.578829415150052], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 102, 'curve_counts': [102, 9774, 911622, 88500414, 8587476742, 832973927214, 80798271956070, 7837433497894398, 760231059389659686, 73742412691655918254], 'curve_counts_str': '102 9774 911622 88500414 8587476742 832973927214 80798271956070 7837433497894398 760231059389659686 73742412691655918254 ', 'curves': ['y^2=85*x^6+39*x^5+26*x^4+82*x^3+35*x^2+29*x+33', 'y^2=87*x^6+10*x^5+40*x^4+55*x^3+36*x^2+60*x+7', 'y^2=11*x^6+39*x^5+34*x^4+52*x^3+4*x^2+23*x+82', 'y^2=10*x^6+18*x^5+83*x^4+91*x^3+64*x^2+15*x+79', 'y^2=46*x^6+x^5+3*x^4+39*x^3+20*x^2+72*x+82', 'y^2=72*x^6+90*x^5+29*x^4+72*x^3+66*x^2+31*x+91', 'y^2=96*x^6+46*x^5+83*x^4+91*x^3+81*x^2+30*x+30', 'y^2=29*x^6+78*x^5+91*x^4+83*x^3+82*x^2+48*x+36', 'y^2=15*x^6+86*x^5+45*x^4+91*x^3+55*x^2+70*x+72', 'y^2=76*x^6+69*x^5+86*x^4+54*x^3+52*x^2+13*x+12', 'y^2=81*x^6+65*x^5+61*x^4+3*x^3+10*x^2+53*x+15', 'y^2=17*x^6+31*x^5+63*x^4+34*x^3+25*x^2+76*x+8', 'y^2=73*x^6+37*x^5+9*x^4+37*x^3+55*x^2+5*x+37', 'y^2=92*x^6+18*x^5+73*x^4+95*x^3+69*x^2+16*x+21', 'y^2=89*x^6+14*x^5+37*x^4+22*x^3+83*x^2+77*x+85', 'y^2=16*x^6+93*x^5+47*x^4+70*x^3+26*x^2+35*x+29', 'y^2=10*x^6+50*x^4+59*x^3+41*x^2+85*x+41', 'y^2=49*x^6+66*x^5+49*x^4+70*x^3+89*x^2+10*x+28', 'y^2=23*x^6+10*x^5+12*x^4+65*x^3+7*x^2+36*x+32', 'y^2=81*x^6+35*x^5+71*x^4+71*x^3+13*x^2+75*x+52', 'y^2=33*x^6+9*x^5+39*x^4+76*x^3+33*x^2+68*x+51', 'y^2=36*x^6+77*x^5+40*x^4+19*x^3+30*x^2+56*x+56', 'y^2=95*x^6+26*x^5+78*x^4+76*x^3+53*x^2+16*x+96', 'y^2=20*x^6+82*x^5+9*x^4+9*x^3+51*x^2+47*x+42', 'y^2=40*x^6+37*x^5+65*x^4+9*x^3+88*x^2+15*x+10', 'y^2=66*x^6+13*x^5+14*x^4+58*x^3+47*x^2+88*x+63', 'y^2=11*x^6+40*x^5+78*x^4+41*x^3+27*x^2+62*x+34', 'y^2=52*x^6+38*x^5+89*x^4+56*x^3+28*x^2+11*x+33', 'y^2=12*x^6+33*x^5+77*x^4+5*x^3+26*x^2+83*x+14', 'y^2=88*x^6+10*x^5+42*x^4+73*x^3+15*x^2+16*x+91', 'y^2=5*x^6+83*x^5+74*x^4+45*x^3+57*x^2+7*x+88', 'y^2=14*x^6+79*x^5+91*x^4+68*x^3+66*x^2+26', 'y^2=84*x^6+10*x^5+80*x^4+27*x^3+42*x^2+64*x+47', 'y^2=86*x^6+87*x^5+65*x^4+10*x^3+78*x^2+28*x+57', 'y^2=72*x^6+77*x^5+70*x^4+13*x^3+43*x^2+10*x+83', 'y^2=55*x^6+5*x^5+64*x^4+68*x^3+9*x^2+87*x+35', 'y^2=62*x^6+49*x^5+72*x^4+4*x^3+45*x^2+62*x+80', 'y^2=39*x^6+64*x^5+74*x^4+4*x^3+76*x^2+61*x+5', 'y^2=52*x^6+62*x^5+81*x^4+47*x^3+29*x^2+78*x+69', 'y^2=48*x^6+52*x^5+3*x^4+46*x^3+54*x^2+25*x+11', 'y^2=27*x^6+48*x^5+76*x^4+43*x^3+37*x^2+82*x+51', 'y^2=24*x^6+95*x^5+78*x^4+85*x^3+92*x^2+4*x+5', 'y^2=59*x^6+26*x^5+81*x^4+80*x^3+33*x^2+3*x+38', 'y^2=87*x^6+70*x^5+17*x^4+10*x^3+81*x^2+58*x+41', 'y^2=32*x^6+19*x^4+19*x^3+50*x^2+12*x+77', 'y^2=93*x^6+50*x^5+94*x^4+55*x^3+38*x^2+37*x+90', 'y^2=87*x^6+61*x^5+95*x^4+72*x^3+14*x^2+39*x+35', 'y^2=68*x^6+22*x^5+22*x^4+60*x^3+14*x^2+38*x+95', 'y^2=92*x^6+75*x^5+7*x^4+92*x^3+13*x^2+44*x+25', 'y^2=5*x^6+84*x^5+81*x^4+28*x^3+55*x^2+83*x+68', 'y^2=85*x^6+15*x^5+58*x^4+89*x^3+61*x^2+11*x+8', 'y^2=29*x^6+21*x^5+37*x^4+12*x^3+96*x^2+9*x+10', 'y^2=53*x^6+33*x^5+57*x^4+11*x^3+66*x^2+10*x+75', 'y^2=26*x^6+31*x^5+54*x^4+11*x^3+7*x^2+48*x+28', 'y^2=46*x^6+26*x^5+13*x^4+31*x^3+62*x^2+11*x+45', 'y^2=33*x^6+13*x^5+67*x^4+2*x^3+16*x^2+66*x+76', 'y^2=11*x^6+49*x^5+26*x^4+79*x^3+69*x^2+10*x+15', 'y^2=60*x^6+91*x^5+74*x^4+80*x^3+12*x^2+72*x+24', 'y^2=27*x^6+4*x^5+43*x^4+93*x^3+39*x^2+23*x+19', 'y^2=57*x^6+74*x^5+79*x^4+10*x^3+11*x^2+12*x+20', 'y^2=29*x^6+48*x^5+38*x^4+5*x^3+62*x^2+50*x+78', 'y^2=16*x^6+31*x^5+18*x^4+64*x^3+78*x^2+14*x+68', 'y^2=18*x^6+55*x^5+54*x^4+68*x^3+x^2+83*x+59', 'y^2=82*x^6+67*x^5+56*x^4+39*x^3+45*x^2+26*x+57', 'y^2=76*x^6+38*x^5+70*x^4+80*x^3+70*x^2+95*x+67', 'y^2=6*x^6+14*x^5+38*x^4+2*x^3+56*x^2+28*x+62', 'y^2=58*x^6+79*x^5+21*x^4+63*x^3+8*x^2+31*x+23', 'y^2=91*x^6+40*x^5+56*x^4+54*x^3+2*x^2+89*x+25', 'y^2=36*x^6+52*x^5+3*x^4+95*x^3+91*x^2+52*x+54', 'y^2=89*x^6+56*x^5+53*x^4+53*x^3+70*x^2+13*x+45', 'y^2=88*x^6+94*x^5+90*x^4+53*x^3+3*x^2+8*x+18', 'y^2=70*x^6+34*x^5+72*x^4+21*x^3+87*x^2+54*x+49', 'y^2=59*x^6+62*x^5+2*x^4+54*x^3+54*x^2+45*x+88', 'y^2=43*x^6+9*x^5+46*x^4+86*x^3+84*x^2+70*x+50', 'y^2=89*x^6+52*x^5+57*x^4+48*x^3+83*x^2+92*x+59', 'y^2=28*x^6+86*x^5+65*x^4+x^3+61*x^2+95*x+92', 'y^2=82*x^6+4*x^5+42*x^4+38*x^3+59*x^2+25*x+10', 'y^2=43*x^6+51*x^5+78*x^4+83*x^3+52*x^2+22*x+1', 'y^2=95*x^6+24*x^5+10*x^4+50*x^3+32*x^2+24*x+44', 'y^2=33*x^6+60*x^5+17*x^4+95*x^3+20*x^2+35*x+32', 'y^2=23*x^6+68*x^5+72*x^4+14*x^3+96*x^2+57*x+93', 'y^2=26*x^6+51*x^5+13*x^4+89*x^3+23*x^2+94*x+45', 'y^2=6*x^6+21*x^5+77*x^4+74*x^3+88*x^2+61*x+63', 'y^2=10*x^6+x^5+86*x^4+7*x^3+41*x^2+26*x+8', 'y^2=63*x^6+38*x^5+25*x^4+72*x^3+91*x^2+31*x+27', 'y^2=35*x^6+59*x^5+42*x^4+65*x^3+37*x+5', 'y^2=28*x^6+4*x^5+67*x^4+81*x^3+23*x^2+18*x+48', 'y^2=30*x^6+64*x^5+42*x^4+75*x^3+6*x^2+92*x+6', 'y^2=45*x^6+75*x^5+34*x^4+41*x^3+76*x^2+14*x+72', 'y^2=72*x^6+16*x^5+79*x^4+40*x^3+81*x^2+79*x+90', 'y^2=25*x^6+70*x^5+11*x^4+14*x^3+9*x^2+23*x+16', 'y^2=83*x^6+66*x^5+40*x^4+92*x^3+41*x^2+20*x+7', 'y^2=57*x^6+55*x^5+85*x^4+68*x^3+26*x^2+29*x+32', 'y^2=77*x^6+2*x^5+27*x^4+23*x^3+41*x^2+26*x+96', 'y^2=56*x^6+49*x^5+69*x^4+83*x^3+84*x^2+53*x+3', 'y^2=55*x^6+51*x^5+8*x^4+91*x^3+18*x^2+93*x+49', 'y^2=89*x^6+73*x^5+76*x^4+55*x^3+60*x^2+10*x+21', 'y^2=21*x^6+70*x^5+18*x^4+59*x^3+5*x^2+35*x+46', 'y^2=80*x^6+89*x^5+44*x^4+48*x^3+77*x^2+85*x+45', 'y^2=64*x^6+34*x^5+74*x^4+74*x^3+76*x^2+5*x+61', 'y^2=69*x^6+83*x^5+6*x^4+41*x^3+84*x^2+22*x+83', 'y^2=71*x^6+19*x^5+62*x^4+12*x^3+88*x^2+57*x+86', 'y^2=48*x^6+47*x^5+8*x^4+18*x^3+70*x^2+47*x+86', 'y^2=62*x^6+23*x^5+88*x^4+46*x^3+53*x^2+69*x+57', 'y^2=48*x^6+54*x^5+40*x^4+12*x^3+63*x^2+91*x', 'y^2=23*x^6+32*x^5+7*x^4+44*x^3+76*x^2+74*x+2', 'y^2=94*x^6+24*x^5+11*x^4+61*x^3+54*x^2+50*x+93', 'y^2=62*x^6+91*x^5+39*x^4+35*x^3+25*x^2+8*x+67', 'y^2=57*x^6+28*x^5+89*x^4+24*x^3+53*x^2+93*x+24', 'y^2=29*x^6+61*x^5+2*x^4+40*x^3+56*x^2+18*x+10', 'y^2=3*x^6+28*x^5+25*x^4+20*x^3+22*x^2+20*x+89', 'y^2=6*x^6+43*x^5+15*x^4+87*x^3+34*x^2+89*x+53', 'y^2=20*x^6+91*x^5+50*x^4+72*x^3+7*x^2+7*x+80', 'y^2=90*x^6+26*x^5+29*x^4+7*x^3+84*x^2+24*x+59', 'y^2=46*x^6+56*x^5+66*x^4+94*x^3+93*x^2+7*x+4', 'y^2=5*x^6+72*x^5+58*x^4+87*x^3+27*x^2+23*x+28', 'y^2=23*x^6+85*x^5+x^4+2*x^3+59*x^2+60*x+91', 'y^2=20*x^6+25*x^5+56*x^4+15*x^3+6*x^2+66*x+21', 'y^2=30*x^6+37*x^5+75*x^4+19*x^3+77*x+5', 'y^2=41*x^6+30*x^5+63*x^4+6*x^3+52*x^2+80*x+47', 'y^2=13*x^6+44*x^5+83*x^4+59*x^3+47*x^2+90*x+75', 'y^2=37*x^6+94*x^5+62*x^4+66*x^3+42*x+28', 'y^2=81*x^6+70*x^5+72*x^4+70*x^3+51*x^2+54*x+62', 'y^2=20*x^6+x^5+65*x^4+70*x^3+77*x^2+22*x+56', 'y^2=63*x^6+50*x^5+75*x^4+4*x^3+46*x^2+12*x+19', 'y^2=39*x^6+92*x^5+3*x^4+57*x^3+6*x^2+46*x+20', 'y^2=57*x^6+27*x^5+57*x^4+54*x^3+2*x^2+66*x+27', 'y^2=37*x^6+41*x^5+6*x^4+63*x^3+89*x^2+44*x+38', 'y^2=24*x^5+5*x^4+68*x^3+43*x^2+59*x+23', 'y^2=79*x^6+35*x^5+46*x^4+58*x^3+59*x^2+4*x+95', 'y^2=44*x^6+48*x^5+66*x^4+19*x^3+74*x^2+x+64', 'y^2=5*x^6+12*x^5+38*x^4+47*x^3+96*x^2+38*x+23', 'y^2=79*x^6+32*x^5+86*x^4+51*x^3+60*x^2+52*x+33', 'y^2=17*x^6+6*x^5+63*x^4+59*x^3+38*x^2+23*x+63', 'y^2=53*x^6+82*x^5+79*x^4+7*x^3+61*x^2+30*x+71', 'y^2=37*x^6+3*x^5+44*x^4+35*x^2+20*x+61', 'y^2=75*x^6+36*x^5+15*x^4+85*x^3+25*x^2+6*x+80', 'y^2=51*x^6+96*x^5+68*x^4+82*x^3+25*x^2+42*x+57', 'y^2=80*x^6+77*x^5+56*x^4+56*x^3+16*x^2+59*x+30', 'y^2=56*x^6+35*x^5+61*x^4+73*x^3+56*x^2+44*x+73'], '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': 4, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.2259968.5'], 'geometric_splitting_field': '4.0.2259968.5', 'geometric_splitting_polynomials': [[2207, 0, 94, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 140, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 140, 'label': '2.97.e_hi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.2259968.5'], 'p': 97, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 4, 190, 388, 9409], 'poly_str': '1 4 190 388 9409 ', 'primitive_models': [], 'q': 97, 'real_poly': [1, 4, -4], 'simple_distinct': ['2.97.e_hi'], 'simple_factors': ['2.97.e_hiA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^2+2*F+V'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2259968.5', 'splitting_polynomials': [[2207, 0, 94, 0, 1]], 'twist_count': 2, 'twists': [['2.97.ae_hi', '2.9409.oa_cyqw', 2]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 141248, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F^2+2*F+V']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.97.e_hi', 'extension_degree': 1, 'extension_label': '2.97.e_hi', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.2259968.5', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.97.e_hi', 'galois_group': '4T3', 'places': [['91', '1', '0', '0'], ['8', '1', '0', '0'], ['6', '1', '0', '0'], ['89', '1', '0', '0']]}
