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av_fq_isog • Show schema
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{'abvar_count': 336, 'abvar_counts': [336, 130368, 47056464, 16983821568, 6131069159376, 2213314901179200, 799006684270354896, 288441413534752601088, 104127350297602681851984, 37589973457549801194193728], 'abvar_counts_str': '336 130368 47056464 16983821568 6131069159376 2213314901179200 799006684270354896 288441413534752601088 104127350297602681851984 37589973457549801194193728 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.260146938293006], 'center_dim': 2, 'curve_count': 336, 'curve_counts': [336, 130368, 47056464, 16983821568, 6131069159376, 2213314901179200, 799006684270354896, 288441413534752601088, 104127350297602681851984, 37589973457549801194193728], 'curve_counts_str': '336 130368 47056464 16983821568 6131069159376 2213314901179200 799006684270354896 288441413534752601088 104127350297602681851984 37589973457549801194193728 ', 'curves': ['y^2=x^3+a^182*x+a^182', 'y^2=x^3+a^333*x+a^334', 'y^2=x^3+a^171*x+a^172', 'y^2=x^3+a^47*x+a^48', 'y^2=x^3+a^295*x+a^295', 'y^2=x^3+5*x+5', 'y^2=x^3+a^75*x+a^75', 'y^2=x^3+a^228*x+a^228', 'y^2=x^3+a^98*x+a^99', 'y^2=x^3+a^345*x+a^345', 'y^2=x^3+1', 'y^2=x^3+a^205*x+a^205', 'y^2=x^3+a^137*x+a^138', 'y^2=x^3+a^218*x+a^218', 'y^2=x^3+a^12*x+a^12', 'y^2=x^3+a^26*x+a^27'], 'dim1_distinct': 1, 'dim1_factors': 1, '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': 1, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': False, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 16, 'label': '1.361.aba', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.3.1'], 'p': 19, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -26, 361], 'poly_str': '1 -26 361 ', 'primitive_models': ['1.19.ai', '1.19.i'], 'principal_polarization_count': 16, 'q': 361, 'real_poly': [1, -26], 'simple_distinct': ['1.361.aba'], 'simple_factors': ['1.361.abaA'], 'simple_multiplicities': [1], 'size': 16, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 6, 'twists': [['1.361.ba', '1.130321.bu', 2], ['1.361.al', '1.47045881.pra', 3], ['1.361.bl', '1.47045881.pra', 3], ['1.361.abl', '1.2213314919066161.abndsac', 6], ['1.361.l', '1.2213314919066161.abndsac', 6]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.361.aba', 'extension_degree': 1, 'extension_label': '1.361.aba', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.361.aba', 'galois_group': '2T1', 'places': [['7', '1'], ['11', '1']]}