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av_fq_isog • Show schema
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{'abvar_count': 416, 'abvar_counts': [416, 139776, 47299616, 17108582400, 6120977816096, 2212593545949696, 799040402053071776, 288440549357971046400, 104127875841907941654176, 37589983010397427949154816], 'abvar_counts_str': '416 139776 47299616 17108582400 6120977816096 2212593545949696 799040402053071776 288440549357971046400 104127875841907941654176 37589983010397427949154816 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.348268167088727, 0.741619551917178], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 22, 'curve_counts': [22, 386, 6898, 131278, 2472022, 47030546, 893909458, 16983512158, 322689326422, 6131067815906], 'curve_counts_str': '22 386 6898 131278 2472022 47030546 893909458 16983512158 322689326422 6131067815906 ', 'curves': ['y^2=6*x^6+15*x^5+13*x^4+12*x^3+2*x^2+4*x+10', 'y^2=9*x^6+12*x^5+9*x^4+10*x^3+8*x^2+16', 'y^2=15*x^6+10*x^5+11*x^4+8*x^3+6*x^2+14*x+5', 'y^2=8*x^6+17*x^5+9*x^4+2*x^3+16*x^2+x+15', 'y^2=6*x^6+17*x^5+9*x^4+9*x^3+17*x^2+6*x+4', 'y^2=15*x^6+14*x^5+4*x^4+14*x^3+11*x^2+14*x+14', 'y^2=5*x^6+2*x^5+12*x^4+8*x^3+7*x^2+7*x+12', 'y^2=9*x^6+4*x^5+10*x^4+3*x^3+9*x^2+13*x+17', 'y^2=5*x^6+17*x^5+7*x^4+17*x^3+9*x^2+9*x+18', 'y^2=18*x^6+13*x^5+11*x^4+13*x^3+7*x^2+7*x+16', 'y^2=15*x^6+5*x^5+6*x^4+3*x^3+14*x^2+11*x+13', 'y^2=13*x^6+10*x^5+17*x^4+6*x^3+18*x^2+4*x+10', 'y^2=10*x^6+4*x^5+17*x^4+15*x^3+16*x^2+16*x+8', 'y^2=13*x^6+4*x^4+13*x^3+4*x^2+13', 'y^2=3*x^6+16*x^5+12*x^4+x^3+13*x^2+4*x+2', 'y^2=7*x^5+8*x^4+4*x^3+16*x^2+15*x+18', 'y^2=x^6+18*x^5+x^4+16*x^3+17*x^2+3*x+12', 'y^2=11*x^6+15*x^5+18*x^3+1', 'y^2=18*x^5+7*x^4+6*x^3+4*x^2+4*x', 'y^2=17*x^6+12*x^5+18*x^4+5*x^3+18*x^2+12*x+17', 'y^2=2*x^6+9*x^5+x^4+9*x^3+17*x^2+15*x+5', 'y^2=12*x^6+x^5+16*x^4+15*x^3+15*x^2+8*x+18', 'y^2=18*x^6+7*x^5+12*x^4+4*x^3+x^2+11*x+3', 'y^2=5*x^6+8*x^5+4*x^4+13*x^3+4*x^2+9*x+11', 'y^2=x^6+15*x^5+3*x^4+14*x^3+10*x^2+15*x+15', 'y^2=11*x^6+3*x^5+6*x^4+17*x^3+16*x^2+15*x+2', 'y^2=x^6+3*x^5+9*x^4+4*x^3+11*x^2+12*x', 'y^2=5*x^6+11*x^5+18*x^4+3*x^3+2*x^2+6*x+17', 'y^2=4*x^6+6*x^5+15*x^4+18*x^3+4*x^2+10*x+6', 'y^2=16*x^6+5*x^5+5*x^4+3*x^3+5*x^2+5*x+16', 'y^2=7*x^6+7*x^5+9*x^4+6*x^3+12*x^2+4*x+16', 'y^2=12*x^6+11*x^5+13*x^4+14*x^3+4*x^2+11*x+5', 'y^2=4*x^6+6*x^5+15*x^4+4*x^3+2*x^2+16*x+16', 'y^2=2*x^6+18*x^5+8*x^4+15*x^3+10*x^2+4*x+9', 'y^2=11*x^6+14*x^5+14*x^4+x^3+14*x^2+4*x+2', 'y^2=x^6+9*x^5+13*x^4+x^3+12*x^2+14*x+15', 'y^2=18*x^6+6*x^5+14*x^4+11*x^3+5*x^2+11*x+16', 'y^2=5*x^6+15*x^5+16*x^3+17*x^2+10*x+13', 'y^2=2*x^6+3*x^5+4*x^4+16*x^3+9*x^2+2*x+8', 'y^2=2*x^5+10*x^4+12*x^3+17*x^2+11', 'y^2=14*x^6+15*x^5+3*x^4+13*x^3+16*x+17', 'y^2=13*x^6+9*x^5+9*x^4+2*x^3+9*x^2+9*x+13', 'y^2=x^6+8*x^5+15*x^4+17*x^3+4*x^2+11', 'y^2=8*x^6+7*x^5+15*x^4+3*x^3+3*x^2+7*x+15', 'y^2=x^6+13*x^5+16*x^4+18*x^3+9*x^2+x+3', 'y^2=18*x^6+2*x^5+18*x^4+3*x^3+12*x^2+18*x+17', 'y^2=16*x^6+18*x^5+9*x^4+6*x^3+17*x^2+13*x+3', 'y^2=15*x^6+17*x^5+14*x^4+15*x^3+14*x^2+17*x+15'], '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.15.1', '2.0.40.1'], 'geometric_splitting_field': '4.0.14400.2', 'geometric_splitting_polynomials': [[16, 0, 2, 0, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 48, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 48, 'label': '2.19.c_o', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.15.1', '2.0.40.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, 14, 38, 361], 'poly_str': '1 2 14 38 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, 2, -24], 'simple_distinct': ['1.19.ae', '1.19.g'], 'simple_factors': ['1.19.aeA', '1.19.gA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,3*F+9', '5,F-2*V+2'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.14400.2', 'splitting_polynomials': [[16, 0, 2, 0, 1]], 'twist_count': 4, 'twists': [['2.19.ak_ck', '2.361.y_bdm', 2], ['2.19.ac_o', '2.361.y_bdm', 2], ['2.19.k_ck', '2.361.y_bdm', 2]], 'weak_equivalence_count': 21, 'zfv_index': 200, 'zfv_index_factorization': [[2, 3], [5, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2400, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,3*F+9', '5,F-2*V+2']}
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av_fq_endalg_factors • Show schema
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id: 12436
{'base_label': '2.19.c_o', 'extension_degree': 1, 'extension_label': '1.19.ae', 'multiplicity': 1}
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id: 12437
{'base_label': '2.19.c_o', 'extension_degree': 1, 'extension_label': '1.19.g', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.15.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.ae', 'galois_group': '2T1', 'places': [['8', '1'], ['10', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.40.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.g', 'galois_group': '2T1', 'places': [['3', '1'], ['16', '1']]}
