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av_fq_isog • Show schema
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{'abvar_count': 399, 'abvar_counts': [399, 159201, 47056464, 16815605625, 6131068282479, 2214310804183296, 799006685713793319, 288436047941535755625, 104127350297602681851984, 37589998284419994938385441], 'abvar_counts_str': '399 159201 47056464 16815605625 6131068282479 2214310804183296 799006685713793319 288436047941535755625 104127350297602681851984 37589998284419994938385441 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.463406802479836, 0.536593197520164], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 436, 6860, 129028, 2476100, 47067046, 893871740, 16983247108, 322687697780, 6131070307156], 'curve_counts_str': '20 436 6860 129028 2476100 47067046 893871740 16983247108 322687697780 6131070307156 ', 'curves': ['y^2=9*x^6+5*x^5+18*x^4+16*x^3+9*x^2+16*x+2', 'y^2=18*x^6+10*x^5+17*x^4+13*x^3+18*x^2+13*x+4', 'y^2=10*x^6+7*x^5+6*x^4+15*x^3+9*x^2+11*x+10', 'y^2=x^6+14*x^5+12*x^4+11*x^3+18*x^2+3*x+1', 'y^2=17*x^6+11*x^5+16*x^4+10*x^3+5*x^2+x+17', 'y^2=15*x^6+3*x^5+13*x^4+x^3+10*x^2+2*x+15', 'y^2=12*x^6+17*x^5+10*x^4+9*x^3+10*x^2+17*x+12', 'y^2=5*x^6+15*x^5+x^4+18*x^3+x^2+15*x+5', 'y^2=18*x^6+x^5+18*x^4+14*x^3+14*x^2+6*x+8', 'y^2=17*x^6+2*x^5+17*x^4+9*x^3+9*x^2+12*x+16', 'y^2=11*x^6+13*x^5+14*x^4+16*x^3+2*x^2+15*x+11', 'y^2=3*x^6+7*x^5+9*x^4+13*x^3+4*x^2+11*x+3', 'y^2=8*x^6+3*x^5+12*x^4+6*x^3+8*x^2+14*x+8', 'y^2=16*x^6+6*x^5+5*x^4+12*x^3+16*x^2+9*x+16'], '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': 8, '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': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.19.a_bl', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.3.1', '2.0.3.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [2, 3, 1, 2], [1, 7, 1, 6]], 'poly': [1, 0, 37, 0, 361], 'poly_str': '1 0 37 0 361 ', 'primitive_models': [], 'principal_polarization_count': 26, 'q': 19, 'real_poly': [1, 0, -1], 'simple_distinct': ['1.19.ab', '1.19.b'], 'simple_factors': ['1.19.abA', '1.19.bA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F^2+5*F+25', '5,-F^2+2*V-12', '5,13*F+11*V-13'], 'size': 26, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.19.ac_bn', '2.361.cw_dcl', 2], ['2.19.c_bn', '2.361.cw_dcl', 2], ['2.19.ap_dq', '2.6859.a_pra', 3], ['2.19.aj_bu', '2.6859.a_pra', 3], ['2.19.ag_bf', '2.6859.a_pra', 3], ['2.19.a_aba', '2.6859.a_pra', 3], ['2.19.a_al', '2.6859.a_pra', 3], ['2.19.g_bf', '2.6859.a_pra', 3], ['2.19.j_bu', '2.6859.a_pra', 3], ['2.19.p_dq', '2.6859.a_pra', 3], ['2.19.a_abl', '2.130321.abxu_bmqvb', 4], ['2.19.aq_dy', '2.47045881.bfia_riynzy', 6], ['2.19.ao_dj', '2.47045881.bfia_riynzy', 6], ['2.19.ai_bt', '2.47045881.bfia_riynzy', 6], ['2.19.ah_be', '2.47045881.bfia_riynzy', 6], ['2.19.ab_as', '2.47045881.bfia_riynzy', 6], ['2.19.a_al', '2.47045881.bfia_riynzy', 6], ['2.19.b_as', '2.47045881.bfia_riynzy', 6], ['2.19.h_be', '2.47045881.bfia_riynzy', 6], ['2.19.i_bt', '2.47045881.bfia_riynzy', 6], ['2.19.o_dj', '2.47045881.bfia_riynzy', 6], ['2.19.q_dy', '2.47045881.bfia_riynzy', 6], ['2.19.a_l', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.a_ba', '2.2213314919066161.adahkae_bhqfruozgyag', 12]], 'weak_equivalence_count': 8, 'zfv_index': 100, 'zfv_index_factorization': [[2, 2], [5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 5625, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,F^2+5*F+25', '5,-F^2+2*V-12', '5,13*F+11*V-13']}
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av_fq_endalg_factors • Show schema
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id: 12560
{'base_label': '2.19.a_bl', 'extension_degree': 1, 'extension_label': '1.19.ab', 'multiplicity': 1}
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id: 12561
{'base_label': '2.19.a_bl', 'extension_degree': 1, 'extension_label': '1.19.b', 'multiplicity': 1}
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id: 12562
{'base_label': '2.19.a_bl', 'extension_degree': 2, 'extension_label': '1.361.bl', 'multiplicity': 2}
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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': '1.19.ab', 'galois_group': '2T1', 'places': [['7', '1'], ['11', '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': '1.19.b', 'galois_group': '2T1', 'places': [['11', '1'], ['7', '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.bl', 'galois_group': '2T1', 'places': [['7', '1'], ['11', '1']]}
