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av_fq_isog • Show schema
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{'abvar_count': 1418, 'abvar_counts': [1418, 921700, 895043018, 849530890000, 820030682554058, 787662782788051300, 756946731938212597898, 727420609744733399040000, 699054003915472527943621898, 671790528819082362627556742500], 'abvar_counts_str': '1418 921700 895043018 849530890000 820030682554058 787662782788051300 756946731938212597898 727420609744733399040000 699054003915472527943621898 671790528819082362627556742500 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.525782775240771, 0.974217224759229], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 44, 'curve_counts': [44, 962, 30044, 919878, 28643204, 887503682, 27512715764, 852888092158, 26439636681164, 819628286980802], 'curve_counts_str': '44 962 30044 919878 28643204 887503682 27512715764 852888092158 26439636681164 819628286980802 ', 'curves': ['y^2=2*x^6+24*x^5+9*x^4+16*x^3+4*x^2+7*x+16', 'y^2=9*x^6+20*x^5+10*x^4+10*x^2+11*x+9', 'y^2=9*x^6+2*x^5+30*x^4+29*x^3+17*x^2+x+9', 'y^2=17*x^6+6*x^5+8*x^4+15*x^3+9*x^2+14*x+3', 'y^2=24*x^6+11*x^5+15*x^4+26*x^3+29*x+29', 'y^2=10*x^6+29*x^5+20*x^4+20*x^2+2*x+10', 'y^2=10*x^6+6*x^5+2*x^4+30*x^3+6*x^2+10*x+17', 'y^2=24*x^6+7*x^5+28*x^4+28*x^2+24*x+24', 'y^2=10*x^6+7*x^5+12*x^4+5*x^3+8*x^2+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': 2, '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.104.1'], 'geometric_splitting_field': '2.0.104.1', 'geometric_splitting_polynomials': [[26, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 9, 'label': '2.31.m_cu', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.43264.3'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 4], [1, 5, 1, 12]], 'poly': [1, 12, 72, 372, 961], 'poly_str': '1 12 72 372 961 ', 'primitive_models': [], 'principal_polarization_count': 9, 'q': 31, 'real_poly': [1, 12, 10], 'simple_distinct': ['2.31.m_cu'], 'simple_factors': ['2.31.m_cuA'], 'simple_multiplicities': [1], 'singular_primes': ['5,-F^2-4*F-V-14'], 'size': 18, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.43264.3', 'splitting_polynomials': [[169, 0, 0, 0, 1]], 'twist_count': 4, 'twists': [['2.31.am_cu', '2.961.a_acsc', 2], ['2.31.a_ak', '2.852891037441.agloye_sokcyicmg', 8], ['2.31.a_k', '2.852891037441.agloye_sokcyicmg', 8]], 'weak_equivalence_count': 2, 'zfv_index': 5, 'zfv_index_factorization': [[5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 100, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,-F^2-4*F-V-14']}
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av_fq_endalg_factors • Show schema
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id: 19771
{'base_label': '2.31.m_cu', 'extension_degree': 1, 'extension_label': '2.31.m_cu', 'multiplicity': 1}
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id: 19772
{'base_label': '2.31.m_cu', 'extension_degree': 2, 'extension_label': '2.961.a_acsc', 'multiplicity': 1}
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id: 19773
{'base_label': '2.31.m_cu', 'extension_degree': 4, 'extension_label': '1.923521.acsc', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.43264.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.31.m_cu', 'galois_group': '4T2', 'places': [['8', '13', '28', '0'], ['23', '13', '3', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.43264.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.961.a_acsc', 'galois_group': '4T2', 'places': [['23', '13', '3', '0'], ['8', '13', '28', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.104.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.923521.acsc', 'galois_group': '2T1', 'places': [['6', '1'], ['25', '1']]}
