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av_fq_isog • Show schema
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{'abvar_count': 425, 'abvar_counts': [425, 146625, 46926800, 17040317625, 6124092709625, 2212425929376000, 799088834639269025, 288444832619465723625, 104127098349146792411600, 37589975064623067246290625], 'abvar_counts_str': '425 146625 46926800 17040317625 6124092709625 2212425929376000 799088834639269025 288444832619465723625 104127098349146792411600 37589975064623067246290625 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.388176076176801, 0.69443002753289], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 22, 'curve_counts': [22, 404, 6844, 130756, 2473282, 47026982, 893963638, 16983764356, 322686916996, 6131066519924], 'curve_counts_str': '22 404 6844 130756 2473282 47026982 893963638 16983764356 322686916996 6131066519924 ', 'curves': ['y^2=8*x^6+17*x^5+13*x^4+18*x^3+13*x^2+17*x+8', 'y^2=17*x^6+2*x^4+18*x^3+10*x^2+4*x+14', 'y^2=3*x^6+10*x^5+x^4+3*x^3+x^2+10*x+3', 'y^2=3*x^6+10*x^5+6*x^4+10*x^3+16*x^2+11*x+2', 'y^2=16*x^6+9*x^5+6*x^4+4*x^3+6*x^2+9*x+16', 'y^2=9*x^6+14*x^5+13*x^3+7*x+5', 'y^2=16*x^6+16*x^5+14*x^4+7*x^3+14*x^2+16*x+16', 'y^2=3*x^6+x^5+7*x^4+12*x^3+18*x^2+15*x+7', 'y^2=14*x^6+4*x^5+10*x^4+18*x^3+2*x^2+7*x+6', 'y^2=11*x^6+12*x^5+6*x^4+6*x^3+8*x^2+8*x+3', 'y^2=16*x^6+10*x^5+2*x^4+4*x^3+4*x^2+18*x+8', 'y^2=15*x^6+6*x^5+8*x^4+17*x^3+9*x^2+18*x+6', 'y^2=9*x^6+7*x^4+17*x^3+15*x^2+x+16', 'y^2=12*x^6+12*x^5+15*x^4+12*x^3+8*x^2+5*x+7', 'y^2=7*x^6+5*x^5+5*x^4+16*x^3+3*x^2+17*x+13', 'y^2=x^6+3*x^5+3*x^4+8*x^3+9*x^2+17*x+13', 'y^2=11*x^6+2*x^5+17*x^4+5*x^3+17*x^2+2*x+11', 'y^2=17*x^6+11*x^5+7*x^4+11*x^3+7*x^2+11*x+17', 'y^2=16*x^6+11*x^5+9*x^4+3*x^3+6*x^2+12*x+3', 'y^2=10*x^6+15*x^5+5*x^4+2*x^3+18*x^2+3*x+18', 'y^2=6*x^6+8*x^5+6*x^4+17*x^3+14*x^2+10*x+16', 'y^2=12*x^6+3*x^5+15*x^4+3*x^3+18*x^2+9*x+7', 'y^2=17*x^6+7*x^5+6*x^4+18*x^3+16*x^2+9*x+7', 'y^2=3*x^6+16*x^5+5*x^4+2*x^3+15*x^2+x+6'], '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': 4, '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': ['2.0.67.1', '2.0.51.1'], 'geometric_splitting_field': '4.0.11675889.1', 'geometric_splitting_polynomials': [[16, 0, 59, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.19.c_x', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.67.1', '2.0.51.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 3, 1, 4], [2, 5, 1, 6], [2, 13, 1, 6]], 'poly': [1, 2, 23, 38, 361], 'poly_str': '1 2 23 38 361 ', 'primitive_models': [], 'principal_polarization_count': 26, 'q': 19, 'real_poly': [1, 2, -15], 'simple_distinct': ['1.19.ad', '1.19.f'], 'simple_factors': ['1.19.adA', '1.19.fA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F^2-3*V'], 'size': 68, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.11675889.1', 'splitting_polynomials': [[16, 0, 59, 0, 1]], 'twist_count': 4, 'twists': [['2.19.ai_cb', '2.361.bq_bqh', 2], ['2.19.ac_x', '2.361.bq_bqh', 2], ['2.19.i_cb', '2.361.bq_bqh', 2]], 'weak_equivalence_count': 4, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 48, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3417, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2-3*V']}
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av_fq_endalg_factors • Show schema
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id: 12464
{'base_label': '2.19.c_x', 'extension_degree': 1, 'extension_label': '1.19.ad', 'multiplicity': 1}
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id: 12465
{'base_label': '2.19.c_x', 'extension_degree': 1, 'extension_label': '1.19.f', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.67.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.ad', 'galois_group': '2T1', 'places': [['17', '1'], ['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.51.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.f', 'galois_group': '2T1', 'places': [['2', '1'], ['16', '1']]}
