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av_fq_isog • Show schema
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{'abvar_count': 1164, 'abvar_counts': [1164, 726336, 597509136, 499431538944, 420526566680124, 353869346072825856, 297555520329972582204, 250246431082371550454784, 210457174297932234983123856, 176994591553801150400228832576], 'abvar_counts_str': '1164 726336 597509136 499431538944 420526566680124 353869346072825856 297555520329972582204 250246431082371550454784 210457174297932234983123856 176994591553801150400228832576 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.48156329533333, 0.851770038000004], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 39, 'curve_counts': [39, 865, 24498, 706129, 20502339, 594915046, 17249719071, 500246327809, 14507138388762, 420707269911625], 'curve_counts_str': '39 865 24498 706129 20502339 594915046 17249719071 500246327809 14507138388762 420707269911625 ', 'curves': ['y^2=15*x^6+19*x^5+24*x^4+26*x^3+8*x^2+19*x+28', 'y^2=4*x^6+18*x^5+19*x^4+6*x^3+8*x^2+24*x+14', 'y^2=28*x^6+9*x^5+16*x^4+25*x^3+23*x^2+26*x+26', 'y^2=24*x^6+20*x^5+24*x^4+3*x^3+5*x^2+3*x+1', 'y^2=27*x^6+20*x^5+6*x^4+13*x^3+4*x^2+23*x+10', 'y^2=14*x^6+7*x^5+19*x^4+13*x^3+4*x^2+2*x+22', 'y^2=x^6+x^5+19*x^4+21*x^3+14*x^2+6*x+19', 'y^2=22*x^6+14*x^5+26*x^4+28*x^3+25*x^2+2*x+22', 'y^2=25*x^6+12*x^5+5*x^4+26*x^3+x^2+22*x+25', 'y^2=25*x^6+9*x^5+25*x^4+28*x^3+7*x^2+21*x+21', 'y^2=22*x^6+6*x^5+6*x^4+4*x^3+22*x+23', 'y^2=19*x^6+28*x^5+16*x^4+7*x^3+8*x^2+18*x+11', 'y^2=7*x^6+2*x^5+26*x^4+15*x^3+27*x^2+25*x+18', 'y^2=28*x^6+8*x^5+17*x^4+23*x^3+11*x^2+28*x+24', 'y^2=24*x^6+11*x^5+22*x^4+26*x^3+26*x^2+7*x+7', 'y^2=15*x^6+3*x^5+23*x^4+8*x^3+8*x^2+5*x+24', 'y^2=9*x^6+21*x^5+7*x^4+3*x^3+5*x^2+6*x+14', 'y^2=14*x^6+15*x^5+2*x^4+2*x^3+19*x^2+24*x+24', 'y^2=19*x^6+x^5+11*x^4+23*x^3+14*x^2+20*x+22', 'y^2=9*x^6+12*x^5+18*x^4+2*x^3+19*x^2+12*x+21', 'y^2=24*x^6+3*x^5+x^4+10*x^3+17*x^2+22*x+23', 'y^2=23*x^6+5*x^5+20*x^4+3*x^3+x^2+4*x+11', 'y^2=23*x^6+13*x^5+3*x^4+28*x^3+13*x^2+6*x+25', 'y^2=28*x^6+10*x^5+6*x^4+17*x^3+13*x^2+19*x+27', 'y^2=10*x^5+17*x^4+16*x^3+5*x^2+15*x+26', 'y^2=22*x^6+17*x^5+x^4+5*x^3+7*x^2+20*x+6', 'y^2=2*x^6+11*x^5+14*x^4+13*x^3+20*x^2+20*x+2', 'y^2=25*x^6+24*x^5+16*x^4+27*x^3+14*x^2+22*x+20', 'y^2=15*x^6+18*x^5+24*x^4+x^3+14*x^2+12*x', 'y^2=17*x^6+4*x^5+12*x^4+28*x^3+4*x^2+21*x+24', 'y^2=6*x^6+23*x^5+4*x^4+7*x^3+26*x^2+22*x', 'y^2=13*x^6+28*x^5+20*x^4+5*x^3+22*x^2+24*x+8', 'y^2=11*x^6+11*x^5+7*x^4+11*x^3+14*x^2+18*x+10', 'y^2=6*x^6+7*x^5+17*x^4+14*x^3+8*x^2+13*x+27', 'y^2=26*x^6+2*x^5+13*x^4+23*x^3+19*x^2+7*x+3', 'y^2=6*x^6+22*x^5+4*x^4+9*x^3+18*x^2+3*x+16', 'y^2=23*x^6+27*x^5+x^4+13*x^3+2*x^2+2*x', 'y^2=23*x^6+13*x^5+5*x^4+27*x^3+14*x^2+7*x+4', 'y^2=12*x^6+12*x^5+12*x^4+8*x^3+15*x^2+2*x+24', 'y^2=12*x^6+28*x^5+21*x^4+23*x^3+27*x^2+10*x+20', 'y^2=23*x^6+5*x^5+3*x^4+4*x^3+3*x^2+10*x+9', 'y^2=11*x^6+21*x^4+16*x^3+10*x^2+15*x+25', 'y^2=x^6+9*x^5+20*x^4+2*x^3+11*x^2+24*x+19', 'y^2=20*x^6+26*x^5+18*x^4+16*x^3+10*x^2+15*x+16', 'y^2=x^6+22*x^4+19*x^3+14*x^2+24*x+8', 'y^2=28*x^6+26*x^5+23*x^4+13*x^3+18*x^2+26*x+3', 'y^2=6*x^6+11*x^5+14*x^4+6*x^3+2*x^2+22*x+13', 'y^2=16*x^5+16*x^4+17*x^3+9*x^2+4*x', 'y^2=7*x^6+28*x^5+28*x^4+22*x^3+17*x^2+21*x+25', 'y^2=22*x^6+20*x^5+17*x^4+5*x^3+25*x^2+9*x+3', 'y^2=23*x^6+22*x^5+7*x^4+6*x^3+13*x^2+10*x', 'y^2=12*x^6+23*x^5+11*x^4+4*x^3+11*x^2+9*x+1', 'y^2=24*x^6+5*x^5+26*x^4+8*x^3+10*x^2+17*x+13', 'y^2=6*x^6+23*x^5+8*x^4+x^3+9*x^2+12*x+13', 'y^2=22*x^6+7*x^5+18*x^4+x^3+3*x^2+3*x+9', 'y^2=23*x^6+12*x^5+20*x^4+7*x^3+x^2+15*x+21', 'y^2=4*x^6+3*x^5+26*x^3+22*x^2+27*x+5', 'y^2=3*x^6+5*x^5+8*x^4+x^3+21*x^2+23*x+21', 'y^2=17*x^6+20*x^5+x^4+x^3+10*x^2+20*x+1', 'y^2=5*x^6+10*x^5+28*x^4+7*x^3+x^2+14*x+12', 'y^2=13*x^6+25*x^5+18*x^4+8*x^3+14*x^2+13*x', 'y^2=5*x^6+3*x^5+5*x^4+28*x^3+8*x^2+14*x+19'], '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': 6, '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.35.1'], 'geometric_splitting_field': '2.0.35.1', 'geometric_splitting_polynomials': [[9, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 62, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 62, 'label': '2.29.j_ca', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.11025.3'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 9, 52, 261, 841], 'poly_str': '1 9 52 261 841 ', 'primitive_models': [], 'q': 29, 'real_poly': [1, 9, -6], 'simple_distinct': ['2.29.j_ca'], 'simple_factors': ['2.29.j_caA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F+5', '13,-8*F^2-5*V-47'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.11025.3', 'splitting_polynomials': [[81, -9, -8, -1, 1]], 'twist_count': 6, 'twists': [['2.29.aj_ca', '2.841.x_ama', 2], ['2.29.as_fj', '2.24389.ee_cymg', 3], ['2.29.a_ax', '2.594823321.ffrw_kreaayg', 6], ['2.29.s_fj', '2.594823321.ffrw_kreaayg', 6], ['2.29.a_x', '2.353814783205469041.afxuuqqe_qeghvgvzkarwg', 12]], 'weak_equivalence_count': 6, 'zfv_index': 52, 'zfv_index_factorization': [[2, 2], [13, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2704, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-F+5', '13,-8*F^2-5*V-47']}
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av_fq_endalg_factors • Show schema
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id: 17702
{'base_label': '2.29.j_ca', 'extension_degree': 1, 'extension_label': '2.29.j_ca', 'multiplicity': 1}
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id: 17703
{'base_label': '2.29.j_ca', 'extension_degree': 3, 'extension_label': '1.24389.cc', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.11025.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.29.j_ca', 'galois_group': '4T2', 'places': [['23', '26', '21', '28'], ['1', '3', '11', '5']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.35.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.24389.cc', 'galois_group': '2T1', 'places': [['24', '1'], ['4', '1']]}
