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av_fq_isog • Show schema
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{'abvar_count': 288, 'abvar_counts': [288, 129024, 45559584, 17020846080, 6139978364448, 2213192742598656, 799068404717211168, 288449268959839518720, 104127331058903909592864, 37589992898409852999727104], 'abvar_counts_str': '288 129024 45559584 17020846080 6139978364448 2213192742598656 799068404717211168 288449268959839518720 104127331058903909592864 37589992898409852999727104 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.130073469146503, 0.651731832911273], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 16, 'curve_counts': [16, 358, 6640, 130606, 2479696, 47043286, 893940784, 16984025566, 322687638160, 6131069428678], 'curve_counts_str': '16 358 6640 130606 2479696 47043286 893940784 16984025566 322687638160 6131069428678 ', 'curves': ['y^2=10*x^6+14*x^5+7*x^4+14*x^3+15*x^2+11', 'y^2=11*x^6+x^5+8*x^4+17*x^3+10*x^2+2', 'y^2=15*x^6+3*x^4+13*x^3+6*x^2+5*x+8', 'y^2=9*x^6+11*x^5+13*x^3+9*x+4', 'y^2=4*x^6+12*x^5+3*x^3+10*x^2+16*x', 'y^2=x^5+12*x^4+13*x^2+15*x+16', 'y^2=9*x^6+9*x^5+6*x^4+18*x^3+12*x^2+13*x+8', 'y^2=16*x^6+x^5+5*x^4+9*x^3+11*x^2+9*x+14', 'y^2=11*x^6+3*x^5+3*x^4+2*x^3+5*x^2+13*x+13', 'y^2=12*x^6+12*x^5+9*x^4+2*x^3+14*x^2+3*x+15', 'y^2=18*x^6+13*x^5+15*x^4+2*x^3+10*x^2+4*x+10', 'y^2=2*x^5+16*x^4+16*x^3+5*x^2+16', 'y^2=17*x^6+3*x^5+15*x^4+5*x^3+15*x^2+14*x', 'y^2=9*x^6+7*x^5+3*x^4+17*x^3+7*x^2+8*x+13', 'y^2=9*x^6+15*x^5+7*x^4+10*x^3+3*x^2+8*x+9', 'y^2=10*x^6+12*x^5+17*x^4+14*x^3+13*x^2+17*x+9', 'y^2=9*x^5+17*x^4+14*x^3+18*x^2+11*x+18', 'y^2=12*x^6+18*x^5+17*x^4+5*x^3+17*x^2+18*x+12', 'y^2=x^6+4*x^5+17*x^4+4*x^3+6*x^2+4*x+6', 'y^2=15*x^6+7*x^5+15*x^4+4*x^2+14*x', 'y^2=x^6+2*x^5+15*x^4+4*x^3+13*x^2+8*x', 'y^2=9*x^6+12*x^5+7*x^4+16*x^3+7*x+6', 'y^2=4*x^6+18*x^5+4*x^4+15*x^3+16*x^2+11*x+10', 'y^2=7*x^6+2*x^5+9*x^4+4*x^3+9*x^2+2*x+7', 'y^2=12*x^6+7*x^5+7*x^4+13*x^3+6*x^2+4*x+10', 'y^2=9*x^6+4*x^5+9*x^4+5*x^3+11*x^2+6*x', 'y^2=2*x^5+13*x^4+11*x^3+11*x^2+10*x+6', 'y^2=2*x^6+6*x^5+10*x^4+13*x^3+12*x^2+3*x+4', 'y^2=7*x^6+2*x^5+17*x^4+16*x^3+5*x^2+3*x+7', 'y^2=4*x^6+3*x^5+6*x^4+7*x^3+15*x^2+9*x+2', 'y^2=11*x^6+14*x^5+13*x^4+x^2+x', 'y^2=3*x^6+9*x^5+5*x^4+x^3+5*x^2+13*x+6', 'y^2=10*x^6+5*x^5+9*x^3+11*x+15', 'y^2=11*x^6+11*x^4+13*x^3+8*x^2+3*x+4', 'y^2=3*x^6+18*x^5+4*x^4+x^3+x^2+14*x+10', 'y^2=13*x^6+14*x^5+7*x^4+12*x^3+5*x+15', 'y^2=x^6+11*x^5+14*x^4+5*x^3+15*x^2+11*x+3', 'y^2=10*x^6+15*x^5+15*x^4+8*x^3+14*x^2+12*x+9', 'y^2=13*x^6+7*x^5+18*x^4+5*x^3+2*x^2+x', 'y^2=14*x^6+5*x^5+2*x^4+10*x^3+x^2+6*x+7', 'y^2=14*x^6+17*x^5+10*x^4+18*x^3+10*x^2+17*x+14', 'y^2=10*x^5+5*x^3+17*x^2+9*x+6', 'y^2=12*x^6+3*x^5+12*x^4+9*x^3+12*x^2+3*x+12', 'y^2=10*x^6+18*x^5+8*x^4+11*x^3+8*x^2+18*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': 42, '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': ['2.0.3.1', '2.0.15.1'], 'geometric_splitting_field': '4.0.225.1', 'geometric_splitting_polynomials': [[1, 1, 2, -1, 1]], 'group_structure_count': 12, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 44, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 44, 'label': '2.19.ae_g', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.3.1', '2.0.15.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -4, 6, -76, 361], 'poly_str': '1 -4 6 -76 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, -4, -32], 'simple_distinct': ['1.19.ai', '1.19.e'], 'simple_factors': ['1.19.aiA', '1.19.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,F+5', '2,F+3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.225.1', 'splitting_polynomials': [[1, 1, 2, -1, 1]], 'twist_count': 12, 'twists': [['2.19.am_cs', '2.361.ae_fu', 2], ['2.19.e_g', '2.361.ae_fu', 2], ['2.19.m_cs', '2.361.ae_fu', 2], ['2.19.f_bq', '2.6859.aim_bhww', 3], ['2.19.l_co', '2.6859.aim_bhww', 3], ['2.19.al_co', '2.47045881.advw_advgrkc', 6], ['2.19.af_bq', '2.47045881.advw_advgrkc', 6], ['2.19.ad_k', '2.47045881.advw_advgrkc', 6], ['2.19.ad_bi', '2.47045881.advw_advgrkc', 6], ['2.19.d_k', '2.47045881.advw_advgrkc', 6], ['2.19.d_bi', '2.47045881.advw_advgrkc', 6]], 'weak_equivalence_count': 72, 'zfv_index': 576, 'zfv_index_factorization': [[2, 6], [3, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 720, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,F+5', '2,F+3']}
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av_fq_endalg_factors • Show schema
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id: 12503
{'base_label': '2.19.ae_g', 'extension_degree': 1, 'extension_label': '1.19.ai', 'multiplicity': 1}
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id: 12504
{'base_label': '2.19.ae_g', 'extension_degree': 1, 'extension_label': '1.19.e', 'multiplicity': 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.ai', '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': '2.0.15.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.e', 'galois_group': '2T1', 'places': [['10', '1'], ['8', '1']]}
