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av_fq_isog • Show schema
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{'abvar_count': 484, 'abvar_counts': [484, 156816, 45616516, 16870892544, 6145351756324, 2213548555076496, 798899923521232324, 288443868954489667584, 104127989315403418181476, 37589932333736834777413776], 'abvar_counts_str': '484 156816 45616516 16870892544 6145351756324 2213548555076496 798899923521232324 288443868954489667584 104127989315403418181476 37589932333736834777413776 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.573681533379471, 0.573681533379471], 'center_dim': 2, 'curve_count': 24, 'curve_counts': [24, 430, 6648, 129454, 2481864, 47050846, 893752296, 16983707614, 322689678072, 6131059550350], 'curve_counts_str': '24 430 6648 129454 2481864 47050846 893752296 16983707614 322689678072 6131059550350 ', 'curves': ['y^2=16*x^6+9*x^4+4*x^3+16*x^2+7*x+16', 'y^2=6*x^6+x^5+7*x^4+9*x^3+11*x^2+11*x+6', 'y^2=2*x^6+16*x^5+9*x^4+9*x^2+3*x+2', 'y^2=14*x^6+8*x^5+13*x^4+4*x^3+13*x^2+8*x+14', 'y^2=2*x^6+12*x^3+14', 'y^2=10*x^5+18*x^4+6*x^3+18*x^2+10*x', 'y^2=9*x^6+9*x^4+9*x^2+9', 'y^2=2*x^6+18*x^3+14', 'y^2=18*x^6+10*x^5+17*x^4+14*x^3+2*x^2+14*x+17', 'y^2=14*x^6+6*x^5+6*x^4+10*x^3+14*x^2+5*x+7', 'y^2=14*x^6+2*x^5+14*x^4+7*x^3+14*x^2+2*x+14'], '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 11, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 11, 'label': '2.19.e_bq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.8.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 4, 42, 76, 361], 'poly_str': '1 4 42 76 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, 4, 4], 'simple_distinct': ['1.19.c'], 'simple_factors': ['1.19.cA', '1.19.cB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.8.1', 'splitting_polynomials': [[2, 0, 1]], 'twist_count': 8, 'twists': [['2.19.ae_bq', '2.361.cq_cug', 2], ['2.19.a_bi', '2.361.cq_cug', 2], ['2.19.ac_ap', '2.6859.aie_bkxu', 3], ['2.19.a_abi', '2.130321.abhk_zofe', 4], ['2.19.c_ap', '2.47045881.hiy_iljxxm', 6], ['2.19.am_cu', '2.16983563041.ifwm_ewwqrfbq', 8], ['2.19.m_cu', '2.16983563041.ifwm_ewwqrfbq', 8]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.19.e_bq', 'extension_degree': 1, 'extension_label': '1.19.c', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.c', 'galois_group': '2T1', 'places': [['13', '1'], ['6', '1']]}
