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av_fq_isog • Show schema
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{'abvar_count': 74, 'abvar_counts': [74, 14356, 1630664, 209597600, 25973605654, 3136914859456, 379520631994214, 45950508588713600, 5560117814585948264, 672745795157496164116], 'abvar_counts_str': '74 14356 1630664 209597600 25973605654 3136914859456 379520631994214 45950508588713600 5560117814585948264 672745795157496164116 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0559264965647846, 0.574142933607457], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 7, 'curve_counts': [7, 121, 1222, 14313, 161277, 1770706, 19475407, 214362513, 2358032722, 25937262681], 'curve_counts_str': '7 121 1222 14313 161277 1770706 19475407 214362513 2358032722 25937262681 ', 'curves': ['y^2=2*x^6+9*x^5+4*x^4+2*x^3+8*x^2+6*x+1', 'y^2=4*x^6+9*x^5+3*x^4+2*x^3+x^2+9*x+8'], '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': ['4.0.236600.1'], 'geometric_splitting_field': '4.0.203840.5', 'geometric_splitting_polynomials': [[67, -28, 4, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, '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': 2, 'label': '2.11.af_m', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.236600.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 4]], 'poly': [1, -5, 12, -55, 121], 'poly_str': '1 -5 12 -55 121 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 11, 'real_poly': [1, -5, -10], 'simple_distinct': ['2.11.af_m'], 'simple_factors': ['2.11.af_mA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.203840.5', 'splitting_polynomials': [[67, -28, 4, 0, 1]], 'twist_count': 2, 'twists': [['2.11.f_m', '2.121.ab_agi', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 4, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 56, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.11.af_m', 'extension_degree': 1, 'extension_label': '2.11.af_m', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.236600.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.af_m', 'galois_group': '4T3', 'places': [['74/11', '5/11', '119/11', '1/11'], ['1', '1', '0', '0']]}
