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av_fq_isog • Show schema
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{'abvar_count': 104, 'abvar_counts': [104, 28288, 4557800, 800210944, 137856264104, 23298088028800, 3936037434568616, 665387319878221824, 112457206783202925800, 19004963775156489689728], 'abvar_counts_str': '104 28288 4557800 800210944 137856264104 23298088028800 3936037434568616 665387319878221824 112457206783202925800 19004963775156489689728 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0497783698316452, 0.549778369831645], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 8, 'curve_counts': [8, 170, 2072, 28014, 371288, 4826810, 62727176, 815694814, 10604669096, 137858491850], 'curve_counts_str': '8 170 2072 28014 371288 4826810 62727176 815694814 10604669096 137858491850 ', 'curves': ['y^2=8*x^6+10*x^5+4*x^4+2*x^3+6*x^2+2*x+7', 'y^2=9*x^6+10*x^5+7*x^4+3*x^3+5*x', 'y^2=6*x^6+6*x^5+4*x^4+4*x^2+7*x+6', 'y^2=8*x^6+11*x^5+2*x^4+2*x^2+2*x+8', 'y^2=3*x^6+4*x^5+8*x^4+11*x^3+6*x^2+3*x+6', 'y^2=7*x^6+x^5+7*x^4+6*x^3+11*x^2+6*x+8', 'y^2=12*x^6+4*x^5+3*x^4+5*x^3+9*x^2+x+7', 'y^2=11*x^6+11*x^4+x^3+6*x^2+11*x+4'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 5, 'g': 2, 'galois_groups': ['4T2'], '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': ['2.0.68.1'], 'geometric_splitting_field': '2.0.68.1', 'geometric_splitting_polynomials': [[17, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.13.ag_s', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.4624.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 4]], 'poly': [1, -6, 18, -78, 169], 'poly_str': '1 -6 18 -78 169 ', 'primitive_models': [], 'principal_polarization_count': 8, 'q': 13, 'real_poly': [1, -6, -8], 'simple_distinct': ['2.13.ag_s'], 'simple_factors': ['2.13.ag_sA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+F+6'], 'size': 14, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.4624.1', 'splitting_polynomials': [[16, 0, 9, 0, 1]], 'twist_count': 4, 'twists': [['2.13.g_s', '2.169.a_ako', 2], ['2.13.a_ai', '2.815730721.acbdc_gilnjwo', 8], ['2.13.a_i', '2.815730721.acbdc_gilnjwo', 8]], 'weak_equivalence_count': 6, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 4, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 64, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+F+6']}
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av_fq_endalg_factors • Show schema
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id: 9367
{'base_label': '2.13.ag_s', 'extension_degree': 1, 'extension_label': '2.13.ag_s', 'multiplicity': 1}
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id: 9368
{'base_label': '2.13.ag_s', 'extension_degree': 2, 'extension_label': '2.169.a_ako', 'multiplicity': 1}
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id: 9369
{'base_label': '2.13.ag_s', 'extension_degree': 4, 'extension_label': '1.28561.ako', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.4624.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.ag_s', 'galois_group': '4T2', 'places': [['9', '1', '0', '0'], ['1', '1', '0', '0'], ['12', '1', '0', '0'], ['4', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.4624.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.169.a_ako', 'galois_group': '4T2', 'places': [['9', '1', '0', '0'], ['1', '1', '0', '0'], ['12', '1', '0', '0'], ['4', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.68.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.28561.ako', 'galois_group': '2T1', 'places': [['10', '1'], ['3', '1']]}
