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av_fq_isog • Show schema
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{'abvar_count': 104, 'abvar_counts': [104, 10816, 1772264, 211993600, 25937745704, 3140919685696, 379749849635624, 45959401816473600, 5559917310107272424, 672766652205370455616], 'abvar_counts_str': '104 10816 1772264 211993600 25937745704 3140919685696 379749849635624 45959401816473600 5559917310107272424 672766652205370455616 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0974911145210683, 0.902508885478932], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 12, 'curve_counts': [12, 86, 1332, 14478, 161052, 1772966, 19487172, 214403998, 2357947692, 25938066806], 'curve_counts_str': '12 86 1332 14478 161052 1772966 19487172 214403998 2357947692 25938066806 ', 'curves': ['y^2=2*x^6+7*x^5+x^4+6*x^3+8*x^2+2*x+1', 'y^2=2*x^6+6*x^5+3*x^4+9*x^3+2*x^2+9*x+7', 'y^2=2*x^6+5*x^5+3*x^4+x^2+8*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': 4, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.40.1'], 'geometric_splitting_field': '2.0.40.1', 'geometric_splitting_polynomials': [[10, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 3, 'label': '2.11.a_as', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.6400.3'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 2], [1, 5, 2, 2]], 'poly': [1, 0, -18, 0, 121], 'poly_str': '1 0 -18 0 121 ', 'primitive_models': [], 'principal_polarization_count': 7, 'q': 11, 'real_poly': [1, 0, -40], 'simple_distinct': ['2.11.a_as'], 'simple_factors': ['2.11.a_asA'], 'simple_multiplicities': [1], 'singular_primes': ['2,V+5'], 'size': 18, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.6400.3', 'splitting_polynomials': [[25, 0, 0, 0, 1]], 'twist_count': 6, 'twists': [['2.11.ae_ba', '2.14641.agi_cbgw', 4], ['2.11.a_s', '2.14641.agi_cbgw', 4], ['2.11.e_ba', '2.14641.agi_cbgw', 4], ['2.11.ac_ah', '2.3138428376721.njcpw_cwpyrbrieg', 12], ['2.11.c_ah', '2.3138428376721.njcpw_cwpyrbrieg', 12]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 4, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 16, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,V+5']}
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av_fq_endalg_factors • Show schema
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id: 8559
{'base_label': '2.11.a_as', 'extension_degree': 1, 'extension_label': '2.11.a_as', 'multiplicity': 1}
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id: 8560
{'base_label': '2.11.a_as', 'extension_degree': 2, 'extension_label': '1.121.as', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.6400.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.a_as', 'galois_group': '4T2', 'places': [['5', '1', '10', '0'], ['6', '1', '1', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.40.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.121.as', 'galois_group': '2T1', 'places': [['1', '1'], ['10', '1']]}
