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av_fq_isog • Show schema
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{'abvar_count': 921, 'abvar_counts': [921, 737721, 596454336, 501993320265, 420504689551521, 353779312042515456, 297560073900082739001, 250246182850049480561865, 210457442507798570905100736, 176994590121600752965386380841], 'abvar_counts_str': '921 737721 596454336 501993320265 420504689551521 353779312042515456 297560073900082739001 250246182850049480561865 210457442507798570905100736 176994590121600752965386380841 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.33539786605245, 0.738049712923418], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 32, 'curve_counts': [32, 876, 24458, 709748, 20501272, 594763686, 17249983048, 500245831588, 14507156876882, 420707266507356], 'curve_counts_str': '32 876 24458 709748 20501272 594763686 17249983048 500245831588 14507156876882 420707266507356 ', 'curves': ['y^2=6*x^6+17*x^5+5*x^3+23*x^2+18*x+8', 'y^2=13*x^6+22*x^5+x^3+13*x^2+9*x+21', 'y^2=24*x^6+26*x^5+4*x^4+24*x^3+10*x^2+28*x+19', 'y^2=15*x^6+20*x^5+17*x^4+28*x^3+27*x^2+15*x+1', 'y^2=5*x^6+2*x^5+4*x^4+2*x^3+18*x^2+19*x+2', 'y^2=25*x^6+28*x^5+19*x^4+8*x^3+x^2+3*x+6', 'y^2=18*x^6+25*x^5+8*x^4+10*x^3+15*x^2+x+5', 'y^2=26*x^6+28*x^5+21*x^4+11*x^3+8*x^2+22*x+15', 'y^2=4*x^6+26*x^5+14*x^4+18*x^3+5*x^2+21*x+22', 'y^2=21*x^6+2*x^5+2*x^4+x^3+10*x^2+13*x+17', 'y^2=27*x^6+2*x^5+15*x^4+2*x^3+12*x^2+14*x+28', 'y^2=27*x^6+28*x^5+22*x^4+x^3+7*x^2+13*x+20', 'y^2=18*x^6+22*x^5+2*x^4+3*x^3+14*x^2+13*x+24', 'y^2=14*x^6+6*x^5+28*x^4+24*x^3+4*x^2+20*x+3', 'y^2=17*x^6+21*x^5+12*x^4+13*x^3+12*x^2+4*x+11', 'y^2=22*x^6+9*x^5+10*x^4+3*x^3+28*x^2+18*x+16', 'y^2=27*x^6+20*x^5+22*x^4+23*x^3+9*x^2+23*x+17', 'y^2=12*x^6+16*x^5+6*x^4+21*x^3+21*x^2+25*x+26', 'y^2=15*x^6+18*x^5+8*x^4+11*x^2+10*x+26', 'y^2=14*x^6+11*x^5+20*x^4+12*x^3+15*x^2+16*x+24', 'y^2=27*x^6+25*x^5+11*x^4+20*x^3+9*x^2+4*x+1', 'y^2=26*x^6+14*x^5+26*x^4+23*x^2+14*x+28', 'y^2=24*x^6+27*x^5+2*x^4+10*x^3+7*x+15', 'y^2=8*x^6+18*x^5+21*x^4+4*x^3+10*x^2+7*x+5', 'y^2=11*x^6+17*x^5+4*x^4+15*x^3+18*x^2+7*x+26', 'y^2=25*x^6+2*x^5+8*x^4+3*x^3+14*x^2+19*x+13', 'y^2=26*x^6+19*x^5+13*x^4+18*x^3+24*x^2+24*x+7', 'y^2=21*x^6+13*x^5+7*x^4+20*x^3+24*x^2+16*x+4', 'y^2=13*x^6+18*x^5+x^4+10*x^3+2*x^2+28*x+7', 'y^2=25*x^6+7*x^5+2*x^4+15*x^3+22*x^2+20*x+8', 'y^2=28*x^6+13*x^5+19*x^4+x^3+11*x^2+19*x+3', 'y^2=8*x^6+28*x^5+13*x^4+13*x^3+22*x^2+7*x+2', 'y^2=4*x^6+11*x^5+22*x^4+22*x^3+6*x^2+16*x+23', 'y^2=5*x^6+12*x^5+4*x^4+7*x^3+18*x^2+2*x+9', 'y^2=9*x^6+9*x^5+22*x^4+22*x^3+23*x^2+21*x+25', 'y^2=8*x^6+12*x^5+7*x^4+4*x^3+27*x^2+15*x+19', 'y^2=22*x^6+11*x^5+3*x^3+15*x^2+15*x+10', 'y^2=25*x^6+14*x^5+26*x^4+7*x^3+3*x^2+15*x+2', 'y^2=3*x^6+15*x^5+15*x^4+26*x^3+17*x^2+9*x+11', 'y^2=6*x^6+3*x^5+27*x^4+18*x^3+3*x^2+19*x+19', 'y^2=26*x^6+4*x^5+16*x^4+27*x^3+27*x^2+28*x+13', 'y^2=15*x^6+10*x^5+28*x^4+27*x^3+11*x^2+12*x+5'], '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': 2, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.8744000.2'], 'geometric_splitting_field': '4.0.8744000.2', 'geometric_splitting_polynomials': [[351, -38, 39, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 42, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 42, 'label': '2.29.c_t', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.8744000.2'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 28], [1, 5, 1, 4]], 'poly': [1, 2, 19, 58, 841], 'poly_str': '1 2 19 58 841 ', 'primitive_models': [], 'principal_polarization_count': 42, 'q': 29, 'real_poly': [1, 2, -39], 'simple_distinct': ['2.29.c_t'], 'simple_factors': ['2.29.c_tA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-V+3'], 'size': 84, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.8744000.2', 'splitting_polynomials': [[351, -38, 39, -2, 1]], 'twist_count': 2, 'twists': [['2.29.ac_t', '2.841.bi_crr', 2]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 56, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 5465, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-V+3']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.29.c_t', 'extension_degree': 1, 'extension_label': '2.29.c_t', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.8744000.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.29.c_t', 'galois_group': '4T3', 'places': [['19', '0', '1', '0'], ['9', '2', '28', '0']]}
