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av_fq_isog • Show schema
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{'abvar_count': 450, 'abvar_counts': [450, 148500, 46672200, 16999092000, 6124615224750, 2212872752376000, 799108509054952350, 288441874175569488000, 104126771453770219559400, 37589982794217723131212500], 'abvar_counts_str': '450 148500 46672200 16999092000 6124615224750 2212872752376000 799108509054952350 288441874175569488000 104126771453770219559400 37589982794217723131212500 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.426318466620529, 0.69443002753289], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 23, 'curve_counts': [23, 409, 6806, 130441, 2473493, 47036482, 893985647, 16983590161, 322685903954, 6131067780649], 'curve_counts_str': '23 409 6806 130441 2473493 47036482 893985647 16983590161 322685903954 6131067780649 ', 'curves': ['y^2=9*x^6+10*x^5+2*x^4+12*x^3+x^2+18*x+4', 'y^2=15*x^6+11*x^5+x^4+12*x^3+11*x^2+3*x+8', 'y^2=11*x^6+18*x^5+5*x^4+x^3+10*x^2+9*x+6', 'y^2=11*x^6+17*x^5+7*x^4+4*x^3+9*x^2+18*x+10', 'y^2=11*x^6+x^5+5*x^4+17*x^3+4*x^2+8*x+10', 'y^2=14*x^6+16*x^5+11*x^4+6*x^3+2*x^2+9*x+16', 'y^2=14*x^6+x^5+3*x^4+17*x^3+14*x^2+18*x+2', 'y^2=8*x^6+17*x^3+7*x^2+15*x+3', 'y^2=11*x^6+12*x^5+5*x^4+7*x^3+9*x^2+17*x', 'y^2=12*x^6+10*x^5+7*x^4+8*x^3+17*x^2+11*x+15', 'y^2=6*x^5+11*x^4+5*x^3+15*x^2+2*x+12', 'y^2=17*x^6+11*x^5+5*x^4+15*x^3+14*x^2+12*x+9', 'y^2=14*x^6+10*x^5+4*x^4+2*x^3+11*x^2+15*x+18', 'y^2=11*x^6+4*x^5+7*x^4+11*x^3+10*x^2+2*x', 'y^2=10*x^6+2*x^4+5*x^3+4*x+3', 'y^2=11*x^6+11*x^5+x^4+10*x^3+10*x^2+16*x+1', 'y^2=6*x^6+17*x^5+13*x^4+2*x^3+18*x^2+8*x+15', 'y^2=7*x^6+11*x^5+x^4+6*x^3+8*x^2+15*x+14', 'y^2=9*x^6+9*x^5+x^4+18*x^2+10*x+1', 'y^2=4*x^6+17*x^5+7*x^4+15*x^3+6*x^2+5*x+17', 'y^2=4*x^6+x^5+11*x^4+15*x^3+15*x^2+9*x+9', 'y^2=13*x^6+17*x^5+14*x^4+11*x^3+14*x^2+16*x+12', 'y^2=11*x^6+18*x^5+5*x^4+15*x^3+10*x^2+4*x+7', 'y^2=7*x^6+14*x^5+10*x^4+14*x^3+6*x^2+12*x+7'], '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': 4, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.8.1', '2.0.51.1'], 'geometric_splitting_field': '4.0.166464.4', 'geometric_splitting_polynomials': [[123, -30, 31, -2, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.19.d_bc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.8.1', '2.0.51.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 6], [2, 3, 1, 6], [2, 5, 1, 12], [2, 11, 1, 24]], 'poly': [1, 3, 28, 57, 361], 'poly_str': '1 3 28 57 361 ', 'primitive_models': [], 'principal_polarization_count': 30, 'q': 19, 'real_poly': [1, 3, -10], 'simple_distinct': ['1.19.ac', '1.19.f'], 'simple_factors': ['1.19.acA', '1.19.fA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,-2*F-16', '7,-5*F^2-11*F-102'], 'size': 150, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.166464.4', 'splitting_polynomials': [[123, -30, 31, -2, 1]], 'twist_count': 4, 'twists': [['2.19.ah_bw', '2.361.bv_bsu', 2], ['2.19.ad_bc', '2.361.bv_bsu', 2], ['2.19.h_bw', '2.361.bv_bsu', 2]], 'weak_equivalence_count': 4, 'zfv_index': 147, 'zfv_index_factorization': [[3, 1], [7, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 96, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3672, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,-2*F-16', '7,-5*F^2-11*F-102']}
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av_fq_endalg_factors • Show schema
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id: 12462
{'base_label': '2.19.d_bc', 'extension_degree': 1, 'extension_label': '1.19.ac', 'multiplicity': 1}
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id: 12463
{'base_label': '2.19.d_bc', 'extension_degree': 1, 'extension_label': '1.19.f', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.ac', 'galois_group': '2T1', 'places': [['6', '1'], ['13', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.51.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.f', 'galois_group': '2T1', 'places': [['2', '1'], ['16', '1']]}
