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av_fq_isog • Show schema
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{'abvar_count': 571, 'abvar_counts': [571, 143321, 45643456, 17012919305, 6131877069571, 2213580544618496, 798988371637467211, 288437268011752556105, 104127989339916332353216, 37589956255957985496090441], 'abvar_counts_str': '571 143321 45643456 17012919305 6131877069571 2213580544618496 798988371637467211 288437268011752556105 104127989339916332353216 37589956255957985496090441 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.564853593149889, 0.753721816601971], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 28, 'curve_counts': [28, 396, 6652, 130548, 2476428, 47051526, 893851252, 16983318948, 322689678148, 6131063452156], 'curve_counts_str': '28 396 6652 130548 2476428 47051526 893851252 16983318948 322689678148 6131063452156 ', 'curves': ['y^2=9*x^6+15*x^5+6*x^4+2*x^3+18*x^2+13*x+10', 'y^2=13*x^6+2*x^5+3*x^4+6*x^3+x^2+9*x+13', 'y^2=x^6+5*x^5+5*x^4+11*x^3+6*x^2+8*x+13', 'y^2=13*x^6+14*x^5+18*x^4+17*x^3+7*x^2+17*x+6', 'y^2=16*x^6+13*x^5+2*x^4+17*x^3+10*x^2+2*x+17', 'y^2=9*x^6+2*x^5+18*x^4+12*x^3+x^2+13*x+8', 'y^2=6*x^6+2*x^4+5*x^3+4*x^2+15*x+3', 'y^2=4*x^6+x^5+10*x^4+x^3+3*x^2+x+4', 'y^2=12*x^6+5*x^5+4*x^4+15*x^3+9*x^2+14*x+7', 'y^2=7*x^6+12*x^5+12*x^4+18*x^3+5*x^2+13*x+4', 'y^2=9*x^6+12*x^5+2*x^4+7*x^3+7*x+7', 'y^2=17*x^6+4*x^5+5*x^4+2*x^3+8*x^2+12*x+16', 'y^2=17*x^6+6*x^5+2*x^4+5*x^3+8*x^2+2*x+9', 'y^2=x^6+5*x^5+6*x^4+15*x^2+5*x+1', 'y^2=14*x^6+13*x^5+18*x^4+12*x^3+12*x^2+x+15', 'y^2=11*x^6+6*x^5+x^4+15*x^3+2*x^2+17*x+14'], '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': 2, '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': ['4.0.67625.1'], 'geometric_splitting_field': '4.0.67625.1', 'geometric_splitting_polynomials': [[176, -28, 29, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, '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': 16, 'label': '2.19.i_bx', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.67625.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 2], [1, 11, 1, 4], [1, 19, 1, 8]], 'poly': [1, 8, 49, 152, 361], 'poly_str': '1 8 49 152 361 ', 'primitive_models': [], 'principal_polarization_count': 16, 'q': 19, 'real_poly': [1, 8, 11], 'simple_distinct': ['2.19.i_bx'], 'simple_factors': ['2.19.i_bxA'], 'simple_multiplicities': [1], 'singular_primes': ['2,3*F^2+3*F-7'], 'size': 16, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.67625.1', 'splitting_polynomials': [[176, -28, 29, -2, 1]], 'twist_count': 2, 'twists': [['2.19.ai_bx', '2.361.bi_bap', 2]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 8, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 2705, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,3*F^2+3*F-7']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.19.i_bx', 'extension_degree': 1, 'extension_label': '2.19.i_bx', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.67625.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.i_bx', 'galois_group': '4T3', 'places': [['16', '1', '0', '0'], ['6', '1', '0', '0'], ['2', '1', '0', '0'], ['12', '1', '0', '0']]}
