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av_fq_isog • Show schema
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{'abvar_count': 1980, 'abvar_counts': [1980, 3397680, 6355823760, 11707657790400, 21608532510354900, 39959882914299828480, 73884897380160345598020, 136613993349266267695660800, 252599352111857076172152443280, 467056168390046821057351705940400], 'abvar_counts_str': '1980 3397680 6355823760 11707657790400 21608532510354900 39959882914299828480 73884897380160345598020 136613993349266267695660800 252599352111857076172152443280 467056168390046821057351705940400 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.291171725172361, 0.816708498755822], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 47, 'curve_counts': [47, 1837, 79940, 3424489, 146988377, 6321402934, 271816918931, 11688197507281, 502592648822300, 21611482341632557], 'curve_counts_str': '47 1837 79940 3424489 146988377 6321402934 271816918931 11688197507281 502592648822300 21611482341632557 ', 'curves': ['y^2=x^6+7*x^5+3*x^4+11*x^3+34*x^2+16*x+13', 'y^2=32*x^6+9*x^5+40*x^4+25*x^3+14*x^2+21*x+9', 'y^2=x^6+31*x^5+40*x^4+27*x^3+11*x^2+18*x+15', 'y^2=41*x^6+27*x^5+22*x^4+42*x^3+34*x^2+34*x+41', 'y^2=14*x^6+21*x^5+18*x^4+38*x^3+x^2+13*x+6', 'y^2=7*x^6+9*x^5+x^4+29*x^3+12*x+13', 'y^2=42*x^5+21*x^4+11*x^3+14*x^2+35*x+24', 'y^2=23*x^6+11*x^5+35*x^4+22*x^3+4*x^2+5*x+35', 'y^2=40*x^6+5*x^5+16*x^4+7*x^3+21*x^2+35*x+36', 'y^2=7*x^6+15*x^5+35*x^4+17*x^2+5*x+14', 'y^2=16*x^5+29*x^4+4*x^3+26*x^2+5*x+7', 'y^2=34*x^6+10*x^5+26*x^4+22*x^3+37*x^2+14*x+12', 'y^2=28*x^6+40*x^5+15*x^4+30*x^3+21*x^2+25*x+19', 'y^2=18*x^6+41*x^5+10*x^4+36*x^3+4*x^2+29*x+25', 'y^2=29*x^6+12*x^5+4*x^4+5*x^3+11*x^2+11*x', 'y^2=25*x^6+20*x^5+36*x^4+20*x^3+11*x^2+7*x+19', 'y^2=8*x^6+16*x^5+27*x^4+16*x^3+18*x^2+14*x+8', 'y^2=27*x^6+12*x^5+41*x^4+8*x^3+10*x^2+11*x+13', 'y^2=33*x^6+42*x^5+19*x^4+27*x^3+20*x^2+30*x+18', 'y^2=2*x^6+14*x^5+42*x^4+12*x^3+27*x^2+11*x', 'y^2=13*x^6+36*x^5+15*x^4+14*x^3+10*x^2+6*x+16', 'y^2=19*x^6+35*x^5+33*x^4+18*x^3+2*x^2+18*x+28', 'y^2=26*x^6+12*x^5+8*x^4+14*x^3+28*x^2+23*x+1', 'y^2=17*x^6+30*x^5+31*x^4+16*x^3+19*x^2+7*x+42', 'y^2=40*x^6+36*x^5+42*x^4+25*x^3+13*x^2+4*x+22', 'y^2=3*x^6+12*x^5+40*x^4+x^3+38*x^2+30*x+16', 'y^2=32*x^6+40*x^5+10*x^4+2*x^3+11*x^2+9*x+38', 'y^2=3*x^6+3*x^5+30*x^4+25*x^3+35*x^2+32*x+24', 'y^2=5*x^6+5*x^5+27*x^4+9*x^3+19*x^2+x+41', 'y^2=35*x^6+20*x^5+17*x^4+6*x^3+40*x^2+4*x+30', 'y^2=31*x^6+11*x^5+20*x^4+8*x^3+25*x^2+32*x+8', 'y^2=32*x^6+18*x^5+41*x^4+30*x^3+23*x^2+18*x+34', 'y^2=34*x^6+18*x^5+16*x^4+21*x^3+38*x^2+10*x+12', 'y^2=17*x^6+10*x^5+35*x^4+37*x^3+34*x^2+x', 'y^2=6*x^6+21*x^5+21*x^4+41*x^3+40*x^2+19*x+4', 'y^2=20*x^6+9*x^5+13*x^4+10*x^3+23*x^2+12*x+22', 'y^2=13*x^5+14*x^4+41*x^3+25*x^2+42*x+19', 'y^2=6*x^6+15*x^5+22*x^4+15*x^3+6*x^2+10*x+12', 'y^2=7*x^6+41*x^5+x^4+8*x^3+33*x^2+4*x+24', 'y^2=39*x^6+33*x^5+13*x^4+28*x^3+13*x^2+37*x+9', 'y^2=41*x^6+33*x^5+35*x^4+23*x^3+5*x^2+36*x+12', 'y^2=13*x^6+7*x^5+21*x^4+18*x^3+30*x^2+x+4', 'y^2=16*x^6+42*x^5+x^4+40*x^3+36*x^2+37*x+27', 'y^2=38*x^6+13*x^5+10*x^4+30*x^3+17*x^2+15*x+34', 'y^2=41*x^6+25*x^5+4*x^4+2*x^3+34*x^2+8*x+11', 'y^2=34*x^6+12*x^5+27*x^3+11*x^2+9*x+31', 'y^2=41*x^6+40*x^5+35*x^4+3*x^3+5*x^2+2*x+19', 'y^2=14*x^6+32*x^5+30*x^4+16*x^3+12*x^2+38*x+18', 'y^2=35*x^6+25*x^5+18*x^4+26*x^3+25*x^2+27*x+10', 'y^2=32*x^6+7*x^5+32*x^4+3*x^3+35*x^2+18*x+19', 'y^2=23*x^6+7*x^5+27*x^4+28*x^3+23*x^2+10*x+6', 'y^2=4*x^6+4*x^5+3*x^4+28*x^3+15*x^2+4*x+38', 'y^2=10*x^6+42*x^5+39*x^4+13*x^3+30*x^2+35*x+20', 'y^2=34*x^6+25*x^5+19*x^4+19*x^3+27*x^2+39*x+29', 'y^2=x^6+19*x^5+24*x^4+4*x^3+34*x^2+39*x+37', 'y^2=11*x^6+8*x^5+42*x^4+17*x^3+42*x^2+34*x+11', 'y^2=14*x^6+21*x^5+19*x^4+38*x^3+6*x^2+8*x+42', 'y^2=3*x^6+42*x^5+37*x^4+8*x^3+3*x^2+33*x+22', 'y^2=19*x^6+17*x^5+26*x^4+3*x^3+34*x^2+40', 'y^2=36*x^6+6*x^4+10*x^3+3*x^2+4*x+30', 'y^2=11*x^6+29*x^5+37*x^3+28*x^2+10*x+16', 'y^2=39*x^6+3*x^5+29*x^4+8*x^3+24*x^2+24*x+28', 'y^2=9*x^6+41*x^5+x^4+7*x^3+25*x^2+33*x+36', 'y^2=7*x^6+28*x^5+20*x^4+19*x^3+23*x^2+22*x+21', 'y^2=9*x^6+7*x^5+12*x^4+42*x^3+35*x^2+4*x+35', 'y^2=38*x^6+23*x^5+32*x^4+16*x^3+10*x^2+25*x+19', 'y^2=10*x^6+4*x^5+15*x^4+24*x^3+11*x^2+3*x+29', 'y^2=22*x^6+38*x^5+14*x^4+29*x^3+3*x^2+10*x+38', 'y^2=x^6+16*x^5+29*x^4+12*x^3+35*x+36', 'y^2=4*x^6+x^5+16*x^4+27*x^3+37*x^2+13*x+25', 'y^2=26*x^6+19*x^5+42*x^4+13*x^3+3*x^2+25*x+40', 'y^2=24*x^6+28*x^5+18*x^4+12*x^3+31*x^2+34*x+25', 'y^2=16*x^6+13*x^5+28*x^4+9*x^3+7*x^2+14*x+25', 'y^2=37*x^6+27*x^5+16*x^4+7*x^3+15*x^2+16*x+31', 'y^2=38*x^6+35*x^5+14*x^4+39*x^3+33*x^2+32', 'y^2=36*x^6+21*x^5+11*x^4+15*x^3+2*x^2+6*x+3', 'y^2=15*x^6+41*x^5+30*x^4+x^3+15*x^2+41*x', 'y^2=23*x^6+28*x^5+37*x^4+2*x^3+5*x^2+10*x+20', 'y^2=25*x^6+20*x^5+8*x^4+22*x^3+9*x^2+31*x+29', 'y^2=27*x^6+28*x^5+7*x^4+7*x^3+x^2+35*x+40', 'y^2=36*x^5+9*x^4+5*x^3+36*x^2+6*x+6', 'y^2=42*x^6+24*x^5+25*x^4+3*x^3+24*x^2+32*x+4', 'y^2=22*x^6+x^5+30*x^4+27*x^3+27*x^2+36*x', 'y^2=5*x^6+17*x^5+10*x^4+14*x^3+38*x^2+7*x+35', 'y^2=x^6+26*x^5+3*x^4+32*x^3+28*x^2+x+6', 'y^2=33*x^6+x^4+34*x^3+37*x^2+24*x+38', 'y^2=41*x^5+9*x^4+18*x^3+5*x+6', 'y^2=11*x^5+24*x^4+13*x^3+34*x^2+17*x+22', 'y^2=35*x^6+15*x^5+8*x^4+34*x^3+34*x^2+26*x+8', 'y^2=33*x^6+35*x^5+27*x^4+41*x^3+22*x^2+6*x+24', 'y^2=x^6+30*x^5+x^4+25*x^3+7*x^2+17*x+42', 'y^2=42*x^6+21*x^5+18*x^4+32*x^3+8*x^2+9*x+16', 'y^2=35*x^6+23*x^5+x^3+16*x^2+39*x+40', 'y^2=21*x^5+35*x^4+6*x^3+26*x^2+36*x+35', 'y^2=10*x^6+2*x^5+6*x^4+18*x^3+8*x^2+4*x+13', 'y^2=21*x^6+26*x^4+15*x^3+33*x^2+7*x+11'], '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': 16, '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', '2.0.51.1'], 'geometric_splitting_field': '4.0.2601.1', 'geometric_splitting_polynomials': [[16, 4, 5, -1, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 96, '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': 96, 'label': '2.43.d_ac', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.3.1', '2.0.51.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 3, -2, 129, 1849], 'poly_str': '1 3 -2 129 1849 ', 'primitive_models': [], 'q': 43, 'real_poly': [1, 3, -88], 'simple_distinct': ['1.43.ai', '1.43.l'], 'simple_factors': ['1.43.aiA', '1.43.lA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,11*F-8', '2,-3*F-7', '19,63*F-6*V+8', '19,-8*F+31'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2601.1', 'splitting_polynomials': [[16, 4, 5, -1, 1]], 'twist_count': 12, 'twists': [['2.43.at_gs', '2.1849.an_eiq', 2], ['2.43.ad_ac', '2.1849.an_eiq', 2], ['2.43.t_gs', '2.1849.an_eiq', 2], ['2.43.g_bf', '2.79507.qq_glny', 3], ['2.43.y_iv', '2.79507.qq_glny', 3], ['2.43.ay_iv', '2.6321363049.chaa_anqbjroc', 6], ['2.43.aq_fl', '2.6321363049.chaa_anqbjroc', 6], ['2.43.ag_bf', '2.6321363049.chaa_anqbjroc', 6], ['2.43.ac_acf', '2.6321363049.chaa_anqbjroc', 6], ['2.43.c_acf', '2.6321363049.chaa_anqbjroc', 6], ['2.43.q_fl', '2.6321363049.chaa_anqbjroc', 6]], 'weak_equivalence_count': 16, 'zfv_index': 2166, 'zfv_index_factorization': [[2, 1], [3, 1], [19, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 5508, 'zfv_singular_count': 8, 'zfv_singular_primes': ['3,11*F-8', '2,-3*F-7', '19,63*F-6*V+8', '19,-8*F+31']}
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av_fq_endalg_factors • Show schema
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id: 33078
{'base_label': '2.43.d_ac', 'extension_degree': 1, 'extension_label': '1.43.ai', 'multiplicity': 1}
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id: 33079
{'base_label': '2.43.d_ac', 'extension_degree': 1, 'extension_label': '1.43.l', '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': '1.43.ai', 'galois_group': '2T1', 'places': [['6', '1'], ['36', '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': '1.43.l', 'galois_group': '2T1', 'places': [['5', '1'], ['37', '1']]}
