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av_fq_isog • Show schema
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{'abvar_count': 372, 'abvar_counts': [372, 138384, 47036052, 17146331136, 6131071068852, 2212390187746704, 799006684071466452, 288437125539594240000, 104127350298348762476532, 37590032451314005724597904], 'abvar_counts_str': '372 138384 47036052 17146331136 6131071068852 2212390187746704 799006684071466452 288437125539594240000 104127350298348762476532 37590032451314005724597904 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.292382009140157, 0.707617990859843], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 382, 6860, 131566, 2476100, 47026222, 893871740, 16983310558, 322687697780, 6131075879902], 'curve_counts_str': '20 382 6860 131566 2476100 47026222 893871740 16983310558 322687697780 6131075879902 ', 'curves': ['y^2=16*x^6+5*x^5+9*x^4+10*x^3+6*x^2+3*x+16', 'y^2=13*x^6+10*x^5+18*x^4+x^3+12*x^2+6*x+13', 'y^2=14*x^6+11*x^4+3*x^3+15*x^2+16', 'y^2=14*x^6+3*x^5+12*x^4+3*x^2+7*x+15', 'y^2=9*x^6+6*x^5+5*x^4+6*x^2+14*x+11', 'y^2=4*x^6+x^5+7*x^4+2*x^3+8*x^2+9*x+14', 'y^2=8*x^6+2*x^5+14*x^4+4*x^3+16*x^2+18*x+9', 'y^2=4*x^5+2*x^4+6*x^3+9*x^2+5*x', 'y^2=7*x^6+8*x^5+8*x^4+5*x^3+14*x^2+2*x+2', 'y^2=16*x^6+18*x^5+10*x^4+12*x^3+x^2+13*x+7', 'y^2=x^6+16*x^5+5*x^4+7*x^3+13*x^2+x+8', 'y^2=4*x^6+12*x^5+7*x^4+5*x^3+12*x^2+3*x+3', 'y^2=8*x^6+5*x^5+14*x^4+10*x^3+5*x^2+6*x+6', 'y^2=x^6+3*x^5+16*x^4+15*x^3+14*x^2+7*x+10', 'y^2=16*x^6+5*x^5+2*x^3+2*x^2+10*x+16', 'y^2=x^6+2*x^3+8', 'y^2=6*x^6+3*x^5+2*x^4+13*x^3+4*x^2+12*x+10', 'y^2=x^6+14*x^3+8', 'y^2=2*x^6+9*x^5+x^4+18*x^3+12*x^2+3*x+17', 'y^2=4*x^6+18*x^5+2*x^4+17*x^3+5*x^2+6*x+15', 'y^2=4*x^5+4*x^4+6*x^3+14*x^2+11*x', 'y^2=11*x^6+7*x^5+17*x^4+12*x^3+10*x^2+4*x+12', 'y^2=16*x^6+6*x^5+x^4+9*x^3+x^2+2*x+6', 'y^2=13*x^6+12*x^5+2*x^4+18*x^3+2*x^2+4*x+12', 'y^2=16*x^6+14*x^5+2*x^4+6*x^3+6*x^2+12*x+14', 'y^2=14*x^6+4*x^5+11*x^4+18*x^3+13*x^2+7*x+16', 'y^2=11*x^6+11*x^5+11*x^4+6*x^3+15*x^2+17*x+18', 'y^2=7*x^6+x^5+x^4+4*x^3+3*x^2+9*x+18', 'y^2=3*x^6+2*x^5+16*x^4+11*x^3+8*x^2+13*x', 'y^2=6*x^6+4*x^5+13*x^4+3*x^3+16*x^2+7*x', 'y^2=18*x^5+3*x^4+18*x^3+15*x^2+6*x+4', 'y^2=17*x^5+6*x^4+17*x^3+11*x^2+12*x+8', 'y^2=11*x^6+16*x^5+11*x^4+4*x^3+5*x^2+4*x+4', 'y^2=x^6+9*x^5+9*x^4+4*x^3+3*x^2+11*x+13', 'y^2=12*x^5+18*x^4+6*x^3+17*x^2+10*x', 'y^2=7*x^6+11*x^5+7*x^4+10*x^3+13*x^2+13*x+8', 'y^2=14*x^6+3*x^5+14*x^4+x^3+7*x^2+7*x+16', 'y^2=17*x^6+x^5+6*x^4+8*x^3+14*x^2+16*x+14', 'y^2=13*x^6+6*x^5+7*x^4+17*x^3+3*x^2+4*x+5', 'y^2=7*x^6+12*x^5+14*x^4+15*x^3+6*x^2+8*x+10', 'y^2=18*x^6+2*x^5+6*x^4+16*x^3+18*x^2+18*x+11', 'y^2=7*x^6+4*x^4+9*x^3+3*x^2+6*x+4', 'y^2=14*x^6+8*x^4+18*x^3+6*x^2+12*x+8', 'y^2=14*x^6+13*x^5+16*x^4+2*x^3+18*x^2+12*x+16', 'y^2=8*x^6+14*x^5+8*x^4+4*x^3+x^2+2*x+11', 'y^2=12*x^6+10*x^5+3*x^4+18*x^3+14*x^2+2*x+13', 'y^2=5*x^6+x^5+6*x^4+17*x^3+9*x^2+4*x+7', 'y^2=13*x^6+x^5+9*x^4+7*x^3+14*x^2+5*x+4', 'y^2=9*x^5+11*x^4+14*x^3+11*x^2+17*x', 'y^2=18*x^5+3*x^4+9*x^3+3*x^2+15*x'], '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': 7, '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': ['2.0.84.1'], 'geometric_splitting_field': '2.0.84.1', 'geometric_splitting_polynomials': [[21, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 50, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 50, 'label': '2.19.a_k', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.7056.3'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 3, 2, 2], [1, 7, 1, 4], [1, 19, 1, 4]], 'poly': [1, 0, 10, 0, 361], 'poly_str': '1 0 10 0 361 ', 'primitive_models': [], 'principal_polarization_count': 64, 'q': 19, 'real_poly': [1, 0, -28], 'simple_distinct': ['2.19.a_k'], 'simple_factors': ['2.19.a_kA'], 'simple_multiplicities': [1], 'singular_primes': ['2,7*F^2-F'], 'size': 80, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.7056.3', 'splitting_polynomials': [[49, 0, 7, 0, 1]], 'twist_count': 4, 'twists': [['2.19.am_cp', '2.6859.a_aooc', 3], ['2.19.m_cp', '2.6859.a_aooc', 3], ['2.19.a_ak', '2.130321.bvw_bkvww', 4], ['2.19.am_cp', '2.47045881.abdce_qbjfec', 6], ['2.19.m_cp', '2.47045881.abdce_qbjfec', 6]], 'weak_equivalence_count': 7, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 32, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 2304, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,7*F^2-F']}
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av_fq_endalg_factors • Show schema
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id: 11870
{'base_label': '2.19.a_k', 'extension_degree': 1, 'extension_label': '2.19.a_k', 'multiplicity': 1}
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id: 11871
{'base_label': '2.19.a_k', 'extension_degree': 2, 'extension_label': '1.361.k', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.7056.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.a_k', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['12', '1', '0', '0'], ['18', '1', '0', '0'], ['7', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.84.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.361.k', 'galois_group': '2T1', 'places': [['6', '1'], ['13', '1']]}
