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av_fq_isog • Show schema
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{'abvar_count': 199, 'abvar_counts': [199, 34029, 4812019, 822446901, 137597422864, 23261295033981, 3938380728026419, 665472225536459109, 112454451541061395351, 19004984228129441313024], 'abvar_counts_str': '199 34029 4812019 822446901 137597422864 23261295033981 3938380728026419 665472225536459109 112454451541061395351 19004984228129441313024 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.370469867855536, 0.679487915055012], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 15, 'curve_counts': [15, 199, 2193, 28795, 370590, 4819183, 62764521, 815798899, 10604409279, 137858640214], 'curve_counts_str': '15 199 2193 28795 370590 4819183 62764521 815798899 10604409279 137858640214 ', 'curves': ['y^2=6*x^6+5*x^5+4*x^4+2*x^3+7*x^2+7', 'y^2=3*x^6+8*x^5+8*x^4+4*x^3+9*x^2+x+5', 'y^2=4*x^6+10*x^5+3*x^4+8*x^2+3*x+5', 'y^2=12*x^5+10*x^4+9*x^3+6*x^2+3*x+1', 'y^2=12*x^6+8*x^5+3*x^4+10*x^3+6*x^2+3*x+12', 'y^2=3*x^6+7*x^5+6*x^4+3*x^2+3*x', 'y^2=4*x^6+5*x^5+10*x^4+x^2+6*x+3', 'y^2=6*x^6+8*x^5+8*x^4+7*x^3+3*x^2+4*x+1', 'y^2=12*x^6+5*x^5+9*x^4+9*x^3+6*x^2+4*x+6', 'y^2=x^6+8*x^5+10*x^4+8*x^3+9*x+6', 'y^2=2*x^6+6*x^5+x^4+5*x^3+10*x+2', 'y^2=11*x^6+5*x^5+2*x^4+3*x^3+10*x+4', 'y^2=3*x^6+6*x^5+11*x^4+x^3+3*x^2+2*x+8', 'y^2=6*x^5+3*x^4+6*x^3+6*x^2+x+12', 'y^2=7*x^6+5*x^5+11*x^3+x^2+6*x', 'y^2=4*x^6+2*x^5+2*x^3+6*x^2+10*x+7'], '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': ['4.0.40725.3'], 'geometric_splitting_field': '4.0.40725.3', 'geometric_splitting_polynomials': [[109, -8, 20, -1, 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': '2.13.b_p', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.40725.3'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 1, 15, 13, 169], 'poly_str': '1 1 15 13 169 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, 1, -11], 'simple_distinct': ['2.13.b_p'], 'simple_factors': ['2.13.b_pA'], 'simple_multiplicities': [1], 'singular_primes': ['3,F^2-2*F+3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.40725.3', 'splitting_polynomials': [[109, -8, 20, -1, 1]], 'twist_count': 2, 'twists': [['2.13.ab_p', '2.169.bd_ur', 2]], 'weak_equivalence_count': 3, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 1629, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,F^2-2*F+3']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.13.b_p', 'extension_degree': 1, 'extension_label': '2.13.b_p', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.40725.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.b_p', 'galois_group': '4T3', 'places': [['0', '3', '0', '2'], ['1', '2', '0', '12']]}
