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av_fq_isog • Show schema
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{'abvar_count': 200, 'abvar_counts': [200, 28800, 4992200, 829440000, 137325605000, 23298078211200, 3935995783944200, 665417390653440000, 112458430568675184200, 19004963774689959120000], 'abvar_counts_str': '200 28800 4992200 829440000 137325605000 23298078211200 3935995783944200 665417390653440000 112458430568675184200 19004963774689959120000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.312832958189001, 0.812832958189001], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 16, 'curve_counts': [16, 170, 2272, 29038, 369856, 4826810, 62726512, 815731678, 10604784496, 137858491850], 'curve_counts_str': '16 170 2272 29038 369856 4826810 62726512 815731678 10604784496 137858491850 ', 'curves': ['y^2=8*x^6+2*x^5+11*x^4+10*x^3+5*x^2+7*x+8', 'y^2=8*x^6+2*x^4+5*x^3+8', 'y^2=10*x^6+x^5+5*x^4+5*x^2+12*x+10', 'y^2=8*x^6+2*x^5+8*x^4+8*x^3+8*x^2+10*x+5', 'y^2=7*x^6+7*x^5+12*x^4+3*x^3+12*x^2+11*x+10', 'y^2=9*x^6+2*x^5+9*x^4+8*x^3+9*x^2+2*x+9', 'y^2=2*x^6+9*x^5+5*x^4+9*x^3+12*x^2+x+1', 'y^2=6*x^6+11*x^5+12*x^4+7*x^3+12*x^2+6*x', 'y^2=11*x^5+6*x^4+x^3+6*x^2+11*x', 'y^2=10*x^6+5*x^5+3*x^4+7*x^3+12*x^2+12*x+12', 'y^2=6*x^6+9*x^5+5*x^4+12*x^3+3*x^2+5*x', 'y^2=x^6+4*x^5+11*x^4+12*x^3+8*x^2+5*x+9', 'y^2=9*x^6+x^5+6*x^3+9*x^2+2*x+4', 'y^2=3*x^6+2*x^5+2*x^4+5*x^3+10*x^2+8*x+12', 'y^2=8*x^6+12*x^5+2*x^4+5*x^3+6*x^2+4*x+8', 'y^2=12*x^6+9*x^5+8*x^4+11*x^3+8*x^2+9*x+12', 'y^2=8*x^6+10*x^4+12*x^3+10*x^2+12*x+12', 'y^2=5*x^6+11*x^5+x^4+8*x^3+x^2+5*x+7', 'y^2=10*x^6+2*x^4+x^3+11*x^2+4*x+6', 'y^2=3*x^6+9*x^5+12*x^4+7*x^3+2*x^2+7*x+4', 'y^2=5*x^5+10*x^4+10*x^3+9*x^2+5*x+12', 'y^2=x^6+10*x^5+12*x^3+10*x+1', 'y^2=11*x^5+8*x^4+12*x^3+x^2+12*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': 40, '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': 4, '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': 6, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 23, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 23, 'label': '2.13.c_c', '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': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 3, 1, 2], [1, 13, 1, 4], [1, 17, 1, 4]], 'poly': [1, 2, 2, 26, 169], 'poly_str': '1 2 2 26 169 ', 'primitive_models': [], 'principal_polarization_count': 29, 'q': 13, 'real_poly': [1, 2, -24], 'simple_distinct': ['1.13.ae', '1.13.g'], 'simple_factors': ['1.13.aeA', '1.13.gA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-V-3', '5,F-8', '5,-18*F-37', '3,2*V-1'], 'size': 206, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.13.ak_by', '2.169.a_je', 2], ['2.13.ac_c', '2.169.a_je', 2], ['2.13.k_by', '2.169.a_je', 2], ['2.13.am_ck', '2.28561.si_gmhq', 4], ['2.13.ai_bq', '2.28561.si_gmhq', 4], ['2.13.a_ak', '2.28561.si_gmhq', 4], ['2.13.a_k', '2.28561.si_gmhq', 4], ['2.13.i_bq', '2.28561.si_gmhq', 4], ['2.13.m_ck', '2.28561.si_gmhq', 4], ['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.ae_d', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.e_d', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.g_x', '2.23298085122481.abeglpc_rjwnwmwwio', 12]], 'weak_equivalence_count': 48, 'zfv_index': 600, 'zfv_index_factorization': [[2, 3], [3, 1], [5, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 32, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 576, 'zfv_singular_count': 8, 'zfv_singular_primes': ['2,-V-3', '5,F-8', '5,-18*F-37', '3,2*V-1']}
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av_fq_endalg_factors • Show schema
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id: 9465
{'base_label': '2.13.c_c', 'extension_degree': 1, 'extension_label': '1.13.ae', 'multiplicity': 1}
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id: 9466
{'base_label': '2.13.c_c', 'extension_degree': 1, 'extension_label': '1.13.g', 'multiplicity': 1}
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id: 9467
{'base_label': '2.13.c_c', 'extension_degree': 2, 'extension_label': '1.169.ak', 'multiplicity': 1}
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id: 9468
{'base_label': '2.13.c_c', 'extension_degree': 2, 'extension_label': '1.169.k', 'multiplicity': 1}
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id: 9469
{'base_label': '2.13.c_c', 'extension_degree': 4, 'extension_label': '1.28561.je', '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.g', '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': '1.169.ak', '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']]}
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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': '1.28561.je', 'galois_group': '2T1', 'places': [['5', '1'], ['8', '1']]}
