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av_fq_isog • Show schema
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{'abvar_count': 3091, 'abvar_counts': [3091, 7885141, 22277050279, 62308392067141, 174865558347217936, 491258959469024165221, 1379942512801050747207439, 3876269827622736377856406725, 10888440155110270131417269084491, 30585627309285012118899690784343296], 'abvar_counts_str': '3091 7885141 22277050279 62308392067141 174865558347217936 491258959469024165221 1379942512801050747207439 3876269827622736377856406725 10888440155110270131417269084491 30585627309285012118899690784343296 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.3261624468262, 0.831280423180857], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 59, 'curve_counts': [59, 2807, 149633, 7896651, 418143094, 22164363623, 1174707948193, 62259702899443, 3299763711000779, 174887470470934022], 'curve_counts_str': '59 2807 149633 7896651 418143094 22164363623 1174707948193 62259702899443 3299763711000779 174887470470934022 ', 'curves': ['y^2=32*x^5+30*x^4+23*x^3+21*x^2+2*x+52', 'y^2=49*x^6+33*x^5+29*x^4+14*x^2+49*x+37', 'y^2=43*x^6+6*x^5+49*x^4+36*x^3+17*x^2+44*x+5', 'y^2=4*x^6+33*x^5+18*x^4+9*x^3+37*x^2+28*x+25', 'y^2=20*x^6+2*x^5+7*x^4+40*x^3+24*x^2+35*x+31', 'y^2=37*x^6+6*x^5+35*x^4+46*x^3+18*x^2+38*x+17', 'y^2=5*x^6+45*x^5+45*x^4+49*x^2+17*x+47', 'y^2=34*x^6+21*x^5+9*x^4+25*x^3+30*x^2+51*x+30', 'y^2=43*x^6+18*x^5+49*x^4+18*x^3+28*x^2+9*x+20', 'y^2=39*x^6+46*x^5+43*x^4+37*x^3+20*x^2+12*x+30', 'y^2=29*x^6+38*x^5+17*x^4+50*x^3+35*x^2+25*x+26', 'y^2=36*x^6+38*x^5+30*x^4+37*x^3+39*x^2+6*x+39', 'y^2=29*x^6+27*x^5+47*x^4+36*x^3+7*x^2+3*x+41', 'y^2=49*x^6+38*x^5+42*x^4+32*x^3+37*x^2+7*x+35', 'y^2=29*x^6+33*x^5+16*x^4+41*x^3+4*x^2+5*x+1', 'y^2=49*x^6+33*x^5+14*x^4+22*x^3+46*x^2+48*x+4', 'y^2=19*x^6+51*x^5+45*x^4+10*x^3+36*x^2+49*x+41', 'y^2=12*x^6+40*x^5+2*x^4+46*x^3+4*x^2+12*x+47', 'y^2=50*x^6+52*x^5+12*x^4+48*x^3+27*x^2+33*x', 'y^2=40*x^6+42*x^4+40*x^3+27*x^2+37*x+45', 'y^2=x^6+33*x^5+27*x^4+10*x^3+38*x^2+39*x+30', 'y^2=18*x^6+14*x^4+20*x^3+30*x^2+30*x+45', 'y^2=9*x^6+25*x^5+34*x^4+25*x^3+24*x^2+43*x+42', 'y^2=8*x^6+34*x^5+2*x^4+23*x^3+26*x^2+41*x+15', 'y^2=30*x^6+44*x^5+40*x^4+43*x^3+33*x^2+14*x+29', 'y^2=29*x^6+29*x^5+36*x^4+47*x^3+35*x^2+27*x+31', 'y^2=22*x^6+9*x^5+18*x^4+49*x^3+11*x^2+21*x+27', 'y^2=39*x^6+43*x^5+40*x^4+41*x^3+28*x^2+4*x+32', 'y^2=5*x^6+11*x^5+42*x^4+8*x^3+12*x+27', 'y^2=5*x^6+10*x^5+17*x^4+x^3+19*x^2+44*x+29', 'y^2=21*x^6+39*x^5+13*x^4+48*x^3+7*x^2+4*x+41', 'y^2=10*x^6+40*x^5+21*x^4+52*x^3+19*x^2+16*x+35', 'y^2=17*x^6+41*x^5+26*x^4+22*x^3+44*x^2+46*x+35', 'y^2=18*x^6+48*x^5+47*x^4+48*x^3+3*x^2+5*x+33', 'y^2=48*x^6+16*x^5+47*x^4+50*x^3+15*x^2+22*x+25', 'y^2=44*x^6+40*x^5+31*x^4+37*x^3+x^2+30*x+10', 'y^2=41*x^6+13*x^5+41*x^4+39*x^3+28*x^2+44*x+41', 'y^2=49*x^6+6*x^5+15*x^4+x^3+23*x^2+46*x+8', 'y^2=23*x^6+28*x^5+33*x^4+2*x^3+21*x^2+24*x+43', 'y^2=45*x^6+38*x^5+52*x^4+44*x^3+2*x^2+17*x+8', 'y^2=39*x^6+2*x^5+22*x^4+21*x^3+31*x^2+9*x+52', 'y^2=19*x^6+47*x^5+22*x^4+12*x^3+10*x^2+21*x+12', 'y^2=29*x^6+29*x^5+27*x^4+40*x^3+12*x^2+34*x+22', 'y^2=2*x^6+51*x^5+12*x^4+20*x^3+11*x^2+52*x+27', 'y^2=5*x^6+18*x^5+48*x^4+24*x^3+6*x^2+14*x+48', 'y^2=40*x^6+17*x^5+49*x^3+7*x^2+16*x+50', 'y^2=49*x^6+21*x^5+35*x^4+34*x^3+12*x^2+19*x+43', 'y^2=17*x^6+3*x^5+24*x^4+33*x^3+x^2+34*x+47', 'y^2=29*x^6+10*x^5+26*x^4+24*x^3+12*x^2+43*x+4', 'y^2=36*x^6+16*x^5+26*x^4+18*x^3+34*x^2+47*x+42', 'y^2=24*x^6+37*x^5+38*x^4+34*x^3+17*x^2+18*x+12', 'y^2=17*x^6+28*x^5+45*x^4+21*x^3+x^2+28*x+49', 'y^2=3*x^6+14*x^5+19*x^4+45*x^3+45*x^2+27*x+48', 'y^2=37*x^6+8*x^5+45*x^4+49*x^3+43*x^2+34', 'y^2=51*x^6+20*x^5+6*x^4+39*x^3+5*x^2+34*x+7', 'y^2=4*x^6+9*x^5+13*x^4+16*x^3+17*x^2+4*x+2', 'y^2=44*x^6+x^5+28*x^4+21*x^3+35*x^2+48*x+27', 'y^2=14*x^6+12*x^5+45*x^4+3*x^3+22*x^2+34*x+13', 'y^2=6*x^6+35*x^5+2*x^4+14*x^3+14*x^2+10*x+30', 'y^2=13*x^6+36*x^5+7*x^4+46*x^3+x^2+42*x+24', 'y^2=38*x^6+2*x^5+46*x^4+40*x^3+11*x^2+52*x+45', 'y^2=42*x^6+15*x^5+10*x^4+10*x^3+49*x^2+39*x+32', 'y^2=41*x^6+51*x^4+22*x^3+10*x^2+x+37'], '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': 3, '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': ['4.0.209725.1'], 'geometric_splitting_field': '4.0.209725.1', 'geometric_splitting_polynomials': [[549, -48, 50, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 63, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 63, 'label': '2.53.f_l', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.209725.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 5, 11, 265, 2809], 'poly_str': '1 5 11 265 2809 ', 'primitive_models': [], 'q': 53, 'real_poly': [1, 5, -95], 'simple_distinct': ['2.53.f_l'], 'simple_factors': ['2.53.f_lA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-5*F^2+5*V+28'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.209725.1', 'splitting_polynomials': [[549, -48, 50, -1, 1]], 'twist_count': 2, 'twists': [['2.53.af_l', '2.2809.ad_eov', 2]], 'weak_equivalence_count': 3, 'zfv_index': 81, 'zfv_index_factorization': [[3, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 9, 'zfv_plus_index_factorization': [[3, 2]], 'zfv_plus_norm': 8389, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,-5*F^2+5*V+28']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.53.f_l', 'extension_degree': 1, 'extension_label': '2.53.f_l', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.209725.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.53.f_l', 'galois_group': '4T3', 'places': [['13', '8', '10', '52'], ['23', '15', '13', '4']]}
