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av_fq_isog • Show schema
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{'abvar_count': 180, 'abvar_counts': [180, 32400, 4822740, 829440000, 137859174900, 23258821107600, 3937376339376660, 665417390653440000, 112455406943473588020, 19005152104108790010000], 'abvar_counts_str': '180 32400 4822740 829440000 137859174900 23258821107600 3937376339376660 665417390653440000 112455406943473588020 19005152104108790010000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.312832958189001, 0.687167041810999], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 14, 'curve_counts': [14, 190, 2198, 29038, 371294, 4818670, 62748518, 815731678, 10604499374, 137859857950], 'curve_counts_str': '14 190 2198 29038 371294 4818670 62748518 815731678 10604499374 137859857950 ', 'curves': ['y^2=9*x^6+3*x^3+x^2+10*x+1', 'y^2=5*x^6+6*x^3+2*x^2+7*x+2', 'y^2=10*x^6+12*x^5+6*x^4+11*x^3+8*x^2+4*x+3', 'y^2=7*x^6+11*x^5+12*x^4+9*x^3+3*x^2+8*x+6', 'y^2=3*x^6+9*x^5+9*x^4+12*x^3+11*x^2+5*x+12', 'y^2=6*x^6+5*x^5+5*x^4+11*x^3+9*x^2+10*x+11', 'y^2=12*x^6+x^5+9*x^4+11*x^3+7*x^2+12*x+8', 'y^2=6*x^6+5*x^5+4*x^4+4*x^3+9*x^2+7*x+7', 'y^2=12*x^6+10*x^5+8*x^4+8*x^3+5*x^2+x+1', 'y^2=5*x^6+3*x^5+9*x^4+6*x^3+2*x^2+6*x+8', 'y^2=6*x^6+10*x^5+10*x^4+7*x^3+3*x^2+12*x', 'y^2=12*x^6+7*x^5+7*x^4+x^3+6*x^2+11*x', 'y^2=8*x^6+5*x^5+6*x^4+11*x^3+6*x^2+5*x+8', 'y^2=3*x^6+10*x^5+12*x^4+9*x^3+12*x^2+10*x+3', 'y^2=4*x^6+11*x^5+6*x^4+3*x^3+9*x^2+6*x+9', 'y^2=8*x^6+9*x^5+12*x^4+6*x^3+5*x^2+12*x+5', 'y^2=5*x^5+x^4+x^3+6*x^2+11*x', 'y^2=3*x^6+3*x^5+6*x^3+5*x+12', 'y^2=6*x^6+6*x^5+12*x^3+10*x+11', 'y^2=11*x^6+3*x^5+11*x^3+4*x^2+10*x+11', 'y^2=9*x^6+6*x^5+9*x^3+8*x^2+7*x+9', 'y^2=2*x^6+8*x^5+11*x^3+2*x+10', 'y^2=2*x^6+6*x^5+9*x^4+7*x^3+6*x+4', 'y^2=4*x^6+12*x^5+5*x^4+x^3+12*x+8', 'y^2=5*x^6+9*x^5+10*x^4+9*x^3+5*x^2+12*x+12', 'y^2=5*x^6+5*x^5+8*x^3+x^2+4*x+3', 'y^2=10*x^6+10*x^5+3*x^3+2*x^2+8*x+6', 'y^2=11*x^6+8*x^5+7*x^4+7*x^2+4*x+12', 'y^2=9*x^6+3*x^5+x^4+x^2+8*x+11', 'y^2=5*x^5+2*x^4+11*x^2+3*x+11', 'y^2=10*x^5+4*x^4+9*x^2+6*x+9', 'y^2=2*x^6+6*x^5+9*x^4+11*x^3+6*x^2+7*x+3', 'y^2=12*x^5+2*x^4+x^3+x^2+11*x+11', 'y^2=11*x^5+4*x^4+2*x^3+2*x^2+9*x+9', 'y^2=12*x^5+11*x^3+x^2+5*x+5', 'y^2=11*x^5+9*x^3+2*x^2+10*x+10', 'y^2=9*x^6+x^5+4*x^4+10*x^3+9*x^2+9*x+5', 'y^2=5*x^6+2*x^5+8*x^4+7*x^3+5*x^2+5*x+10', 'y^2=8*x^5+x^4+6*x^3+10*x^2+3*x+4', 'y^2=5*x^5+11*x^4+7*x^3+3*x^2+3*x+7', 'y^2=10*x^5+9*x^4+x^3+6*x^2+6*x+1', 'y^2=8*x^6+5*x^4+7*x^3+x^2+1', 'y^2=4*x^6+8*x^5+x^3+8*x^2+9*x+9', 'y^2=11*x^6+3*x^5+5*x^4+5*x^2+10*x+11', 'y^2=10*x^6+8*x^5+5*x^4+6*x^3+x^2+3*x+1', 'y^2=10*x^6+9*x^5+9*x+10', 'y^2=7*x^6+5*x^5+5*x+7', 'y^2=10*x^6+5*x^5+6*x^4+5*x^3+5*x^2+10*x+11', 'y^2=7*x^6+10*x^5+12*x^4+10*x^3+10*x^2+7*x+9', 'y^2=7*x^6+11*x^4+9*x^2+4', 'y^2=8*x^6+x^4+2*x^2+12', 'y^2=12*x^6+x^5+12*x^4+3*x^3+5*x^2+12*x+8', 'y^2=12*x^5+6*x^4+4*x^2+10*x+5', 'y^2=11*x^5+12*x^4+8*x^2+7*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': 28, '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': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 54, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 54, 'label': '2.13.a_k', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.4.1', '2.0.4.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 4], [1, 5, 2, 4], [2, 5, 1, 4], [1, 13, 1, 4]], 'poly': [1, 0, 10, 0, 169], 'poly_str': '1 0 10 0 169 ', 'primitive_models': [], 'principal_polarization_count': 74, 'q': 13, 'real_poly': [1, 0, -16], 'simple_distinct': ['1.13.ae', '1.13.e'], 'simple_factors': ['1.13.aeA', '1.13.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-9*F+1', '3,V+19', '3,5*V+16'], 'size': 220, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.13.ai_bq', '2.169.u_qw', 2], ['2.13.i_bq', '2.169.u_qw', 2], ['2.13.am_ck', '2.28561.si_gmhq', 4], ['2.13.ak_by', '2.28561.si_gmhq', 4], ['2.13.ac_c', '2.28561.si_gmhq', 4], ['2.13.a_ak', '2.28561.si_gmhq', 4], ['2.13.c_c', '2.28561.si_gmhq', 4], ['2.13.k_by', '2.28561.si_gmhq', 4], ['2.13.m_ck', '2.28561.si_gmhq', 4], ['2.13.ae_d', '2.4826809.ambc_cfjsuo', 6], ['2.13.e_d', '2.4826809.ambc_cfjsuo', 6], ['2.13.a_ay', '2.815730721.bku_fhiqgmw', 8], ['2.13.a_y', '2.815730721.bku_fhiqgmw', 8], ['2.13.ag_x', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.g_x', '2.23298085122481.abeglpc_rjwnwmwwio', 12]], 'weak_equivalence_count': 28, 'zfv_index': 576, 'zfv_index_factorization': [[2, 6], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 64, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1296, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,-9*F+1', '3,V+19', '3,5*V+16']}
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av_fq_endalg_factors • Show schema
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id: 9529
{'base_label': '2.13.a_k', 'extension_degree': 1, 'extension_label': '1.13.ae', 'multiplicity': 1}
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id: 9530
{'base_label': '2.13.a_k', 'extension_degree': 1, 'extension_label': '1.13.e', 'multiplicity': 1}
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id: 9531
{'base_label': '2.13.a_k', 'extension_degree': 2, 'extension_label': '1.169.k', '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': '1.13.ae', 'galois_group': '2T1', 'places': [['8', '1'], ['5', '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': '1.13.e', 'galois_group': '2T1', 'places': [['5', '1'], ['8', '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': '1.169.k', 'galois_group': '2T1', 'places': [['8', '1'], ['5', '1']]}
