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av_fq_isog • Show schema
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{'abvar_count': 320, 'abvar_counts': [320, 102400, 24138560, 6922240000, 2015991713600, 582670078873600, 168377825772549440, 48662075833712640000, 14063084451997006710080, 4064222589303864424960000], 'abvar_counts_str': '320 102400 24138560 6922240000 2015991713600 582670078873600 168377825772549440 48662075833712640000 14063084451997006710080 4064222589303864424960000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.422020869622631, 0.577979130377369], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 18, 'curve_counts': [18, 350, 4914, 82878, 1419858, 24139550, 410338674, 6975884158, 118587876498, 2015989526750], 'curve_counts_str': '18 350 4914 82878 1419858 24139550 410338674 6975884158 118587876498 2015989526750 ', 'curves': ['y^2=9*x^6+8*x^4+7*x^2+5', 'y^2=10*x^6+10*x^4+13*x^2+15', 'y^2=15*x^6+x^5+11*x^4+10*x^3+11*x^2+x+15', 'y^2=11*x^6+3*x^5+16*x^4+13*x^3+16*x^2+3*x+11', 'y^2=13*x^6+16*x^4+14*x^2+11', 'y^2=6*x^6+2*x^4+6*x^2+9', 'y^2=9*x^6+14*x^4+3*x^3+11*x^2+4*x+13', 'y^2=10*x^6+8*x^4+9*x^3+16*x^2+12*x+5', 'y^2=6*x^6+15*x^5+7*x^4+14*x^3+x^2+16*x+9', 'y^2=x^6+11*x^5+4*x^4+8*x^3+3*x^2+14*x+10', 'y^2=6*x^6+11*x^5+4*x^3+11*x+6', 'y^2=x^6+16*x^5+12*x^3+16*x+1', 'y^2=9*x^6+10*x^5+16*x^4+15*x^3+5*x^2+8*x+9', 'y^2=10*x^6+13*x^5+14*x^4+11*x^3+15*x^2+7*x+10', 'y^2=5*x^6+6*x^5+12*x^4+16*x^3+16*x^2+4*x+12', 'y^2=10*x^5+2*x^4+10*x^3+x^2+6*x+5', 'y^2=13*x^5+6*x^4+13*x^3+3*x^2+x+15', 'y^2=x^6+6*x^5+8*x^4+x^3+15*x^2+3*x+4', 'y^2=4*x^6+11*x^5+11*x^4+14*x^3+11*x^2+11*x+4', 'y^2=12*x^6+16*x^5+16*x^4+8*x^3+16*x^2+16*x+12', 'y^2=12*x^6+14*x^4+8*x^2+1', 'y^2=7*x^6+4*x^4+12*x^2+2', 'y^2=7*x^6+4*x^5+9*x^4+9*x^2+11*x', 'y^2=4*x^6+12*x^5+10*x^4+10*x^2+16*x', 'y^2=15*x^6+6*x^5+12*x^4+8*x^3+16*x^2+5*x+14', 'y^2=11*x^6+x^5+2*x^4+7*x^3+14*x^2+15*x+8', 'y^2=2*x^6+3*x^5+14*x^4+12*x^3+7*x^2+5*x+13', 'y^2=6*x^6+9*x^5+8*x^4+2*x^3+4*x^2+15*x+5', 'y^2=5*x^5+16*x^4+16*x^3+15*x^2+3*x', 'y^2=15*x^5+14*x^4+14*x^3+11*x^2+9*x', 'y^2=15*x^6+12*x^5+16*x^4+3*x^3+4*x^2+5*x+9', 'y^2=11*x^6+2*x^5+14*x^4+9*x^3+12*x^2+15*x+10'], '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': 31, 'g': 2, 'galois_groups': ['2T1', '2T1'], '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': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'group_structure_count': 9, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 32, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 32, 'label': '2.17.a_be', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.4.1', '2.0.4.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 30, 0, 289], 'poly_str': '1 0 30 0 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, 0, -4], 'simple_distinct': ['1.17.ac', '1.17.c'], 'simple_factors': ['1.17.acA', '1.17.cA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F-11'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.17.ae_bm', '2.289.ci_cew', 2], ['2.17.e_bm', '2.289.ci_cew', 2], ['2.17.aq_du', '2.83521.ayu_pkmo', 4], ['2.17.ak_by', '2.83521.ayu_pkmo', 4], ['2.17.ag_s', '2.83521.ayu_pkmo', 4], ['2.17.a_abe', '2.83521.ayu_pkmo', 4], ['2.17.g_s', '2.83521.ayu_pkmo', 4], ['2.17.k_by', '2.83521.ayu_pkmo', 4], ['2.17.q_du', '2.83521.ayu_pkmo', 4], ['2.17.ac_an', '2.24137569.cye_edukug', 6], ['2.17.c_an', '2.24137569.cye_edukug', 6], ['2.17.a_aq', '2.6975757441.hfls_cgecleuw', 8], ['2.17.a_q', '2.6975757441.hfls_cgecleuw', 8], ['2.17.ai_bv', '2.582622237229761.hyzudw_ycphxevazog', 12], ['2.17.i_bv', '2.582622237229761.hyzudw_ycphxevazog', 12]], 'weak_equivalence_count': 56, 'zfv_index': 256, 'zfv_index_factorization': [[2, 8]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4096, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-11']}
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av_fq_endalg_factors • Show schema
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id: 11322
{'base_label': '2.17.a_be', 'extension_degree': 1, 'extension_label': '1.17.ac', 'multiplicity': 1}
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id: 11323
{'base_label': '2.17.a_be', 'extension_degree': 1, 'extension_label': '1.17.c', 'multiplicity': 1}
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id: 11324
{'base_label': '2.17.a_be', 'extension_degree': 2, 'extension_label': '1.289.be', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.ac', 'galois_group': '2T1', 'places': [['4', '1'], ['13', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.c', 'galois_group': '2T1', 'places': [['13', '1'], ['4', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.be', 'galois_group': '2T1', 'places': [['4', '1'], ['13', '1']]}
