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av_fq_isog • Show schema
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{'abvar_count': 90, 'abvar_counts': [90, 6480, 251370, 15876000, 1083015450, 69118706160, 4392298214730, 281317163400000, 18017507394738810, 1152977459634752400], 'abvar_counts_str': '90 6480 251370 15876000 1083015450 69118706160 4392298214730 281317163400000 18017507394738810 1152977459634752400 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.5, 0.556567041128661], 'center_dim': 4, 'curve_count': 10, 'curve_counts': [10, 96, 490, 3872, 33050, 263664, 2094410, 16767808, 134240890, 1073793936], 'curve_counts_str': '10 96 490 3872 33050 263664 2094410 16767808 134240890 1073793936 ', 'curves': [], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.31.1'], 'geometric_splitting_field': '2.0.31.1', 'geometric_splitting_polynomials': [[8, -1, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '2.8.b_q', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 8, 'newton_coelevation': 1, 'newton_elevation': 1, 'noncyclic_primes': [], 'number_fields': ['2.0.8.1', '2.0.31.1'], 'p': 2, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, 1, 16, 8, 64], 'poly_str': '1 1 16 8 64 ', 'primitive_models': [], 'q': 8, 'real_poly': [1, 1], 'simple_distinct': ['1.8.a', '1.8.b'], 'simple_factors': ['1.8.aA', '1.8.bA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.61504.2', 'splitting_polynomials': [[38, -20, 21, -2, 1]], 'twist_count': 6, 'twists': [['2.8.ab_q', '2.64.bf_oe', 2], ['2.8.af_u', '2.16777216.anxx_drgits', 8], ['2.8.ad_m', '2.16777216.anxx_drgits', 8], ['2.8.d_m', '2.16777216.anxx_drgits', 8], ['2.8.f_u', '2.16777216.anxx_drgits', 8]]}
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av_fq_endalg_factors • Show schema
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id: 7755
{'base_label': '2.8.b_q', 'extension_degree': 1, 'extension_label': '1.8.a', 'multiplicity': 1}
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id: 7756
{'base_label': '2.8.b_q', 'extension_degree': 1, 'extension_label': '1.8.b', 'multiplicity': 1}
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id: 7757
{'base_label': '2.8.b_q', 'extension_degree': 2, 'extension_label': '1.64.p', 'multiplicity': 1}
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id: 7758
{'base_label': '2.8.b_q', 'extension_degree': 2, 'extension_label': '1.64.q', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.8.a', 'galois_group': '2T1', 'places': [['0', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.31.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.8.b', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.31.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.64.p', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.64.q', 'galois_group': '1T1', 'places': [['0']]}