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av_fq_isog • Show schema
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{'abvar_count': 2254, 'abvar_counts': [2254, 11842516, 42252663544, 146925359005600, 511165460071757554, 1779213080135399935936, 6193388913015143488687234, 21559177312275205152742953600, 75047496547759644513682966144984, 261240335742432651534321470706312916], 'abvar_counts_str': '2254 11842516 42252663544 146925359005600 511165460071757554 1779213080135399935936 6193388913015143488687234 21559177312275205152742953600 75047496547759644513682966144984 261240335742432651534321470706312916 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.135062563049179, 0.245953251860904], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 35, 'curve_counts': [35, 3401, 205730, 12125193, 714992425, 42180904946, 2488652569795, 146830436958673, 8662995817930790, 511116753765983081], 'curve_counts_str': '35 3401 205730 12125193 714992425 42180904946 2488652569795 146830436958673 8662995817930790 511116753765983081 ', 'curves': ['y^2=32*x^6+58*x^5+15*x^4+58*x^3+24*x^2+25*x+14', 'y^2=45*x^6+52*x^5+16*x^4+35*x^3+5*x^2+58*x', 'y^2=14*x^6+17*x^5+30*x^4+2*x^3+16*x^2+53*x+28', 'y^2=11*x^6+5*x^5+2*x^4+50*x^3+2*x^2+38*x+33', 'y^2=42*x^6+31*x^5+45*x^4+5*x^3+50*x^2+26*x+1', 'y^2=27*x^6+4*x^5+5*x^4+32*x^3+51*x^2+33*x+55', 'y^2=55*x^6+45*x^5+58*x^4+57*x^3+44*x^2+45*x+52', 'y^2=39*x^6+30*x^5+27*x^4+27*x^3+26*x^2+22*x+49'], '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, 'endomorphism_ring_count': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.40.1', '2.0.115.1'], 'geometric_splitting_field': '4.0.846400.3', 'geometric_splitting_polynomials': [[196, 0, -18, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.59.az_km', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.40.1', '2.0.115.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -25, 272, -1475, 3481], 'poly_str': '1 -25 272 -1475 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, -25, 154], 'simple_distinct': ['1.59.ao', '1.59.al'], 'simple_factors': ['1.59.aoA', '1.59.alA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,17*F-V+14'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.846400.3', 'splitting_polynomials': [[196, 0, -18, 0, 1]], 'twist_count': 4, 'twists': [['2.59.ad_abk', '2.3481.add_kqu', 2], ['2.59.d_abk', '2.3481.add_kqu', 2], ['2.59.z_km', '2.3481.add_kqu', 2]], 'weak_equivalence_count': 2, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4600, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,17*F-V+14']}
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av_fq_endalg_factors • Show schema
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id: 52771
{'base_label': '2.59.az_km', 'extension_degree': 1, 'extension_label': '1.59.ao', 'multiplicity': 1}
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id: 52772
{'base_label': '2.59.az_km', 'extension_degree': 1, 'extension_label': '1.59.al', 'multiplicity': 1}
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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': '1.59.ao', 'galois_group': '2T1', 'places': [['52', '1'], ['7', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.115.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.al', 'galois_group': '2T1', 'places': [['53', '1'], ['5', '1']]}