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av_fq_isog • Show schema
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{'abvar_count': 19, 'abvar_counts': [19, 2489, 130321, 5946221, 282939184, 13845433361, 679394596669, 33272252045909, 1628923563606439, 79788265901524224], 'abvar_counts_str': '19 2489 130321 5946221 282939184 13845433361 679394596669 33272252045909 1628923563606439 79788265901524224 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.162349854002573, 0.351370772324831], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 1, 'curve_counts': [1, 51, 379, 2475, 16836, 117687, 824965, 5771619, 40366243, 282461086], 'curve_counts_str': '1 51 379 2475 16836 117687 824965 5771619 40366243 282461086 ', 'curves': ['y^2=6*x^6+3*x^5+3*x^4+4*x^3+4*x^2+4*x+3'], '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': 1, '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': ['4.0.3725.1'], 'geometric_splitting_field': '4.0.3725.1', 'geometric_splitting_polynomials': [[11, -7, 8, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 1, 'label': '2.7.ah_z', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.3725.1'], 'p': 7, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -7, 25, -49, 49], 'poly_str': '1 -7 25 -49 49 ', 'primitive_models': [], 'q': 7, 'real_poly': [1, -7, 11], 'simple_distinct': ['2.7.ah_z'], 'simple_factors': ['2.7.ah_zA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3725.1', 'splitting_polynomials': [[11, -7, 8, -2, 1]], 'twist_count': 2, 'twists': [['2.7.h_z', '2.49.b_bl', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 149, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.7.ah_z', 'extension_degree': 1, 'extension_label': '2.7.ah_z', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.3725.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.7.ah_z', 'galois_group': '4T3', 'places': [['1', '3', '5', '0'], ['5', '6', '2', '0']]}
