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av_fq_isog • Show schema
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{'abvar_count': 1170, 'abvar_counts': [1170, 994500, 883635480, 853177572000, 819309867801750, 787656231252072000, 756961753787591904630, 727421877987557764752000, 699053303784671393642131320, 671790558742294876974509062500], 'abvar_counts_str': '1170 994500 883635480 853177572000 819309867801750 787656231252072000 756961753787591904630 727421877987557764752000 699053303784671393642131320 671790558742294876974509062500 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.442517941024483, 0.716379308692373], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 37, 'curve_counts': [37, 1033, 29662, 923833, 28618027, 887496298, 27513261757, 852889579153, 26439610200802, 819628323489073], 'curve_counts_str': '37 1033 29662 923833 28618027 887496298 27513261757 852889579153 26439610200802 819628323489073 ', 'curves': ['y^2=8*x^6+5*x^5+23*x^4+8*x^3+3*x^2+27*x+16', 'y^2=16*x^6+8*x^5+19*x^4+3*x^3+14*x^2+3*x+12', 'y^2=18*x^6+10*x^5+20*x^4+26*x^2+25*x', 'y^2=7*x^6+9*x^5+5*x^4+21*x^3+7*x^2+3*x+9', 'y^2=22*x^6+27*x^5+23*x^4+29*x^3+14*x^2+3*x+16', 'y^2=27*x^6+29*x^5+15*x^4+6*x^3+12*x^2+10*x+5', 'y^2=4*x^6+26*x^5+9*x^4+10*x^3+16*x^2+20*x+30', 'y^2=22*x^6+7*x^5+20*x^4+16*x^3+x^2+2*x+29', 'y^2=10*x^6+27*x^5+x^4+28*x^3+27*x^2+9*x+20', 'y^2=14*x^6+30*x^5+23*x^4+19*x^3+25*x^2+x+28', 'y^2=27*x^6+3*x^5+14*x^4+4*x^3+12*x^2+30*x+25', 'y^2=5*x^6+11*x^5+14*x^4+5*x^3+9*x^2+5*x+17', 'y^2=18*x^6+13*x^5+30*x^4+2*x^3+30*x^2+30*x+19', 'y^2=7*x^6+4*x^5+18*x^4+2*x^3+4*x^2+23*x+5', 'y^2=4*x^6+10*x^5+14*x^4+2*x^3+20*x^2+30*x+29', 'y^2=8*x^6+28*x^5+12*x^4+24*x^3+29*x^2+20*x+2', 'y^2=28*x^6+29*x^5+5*x^4+19*x^2+14*x+8', 'y^2=26*x^6+9*x^5+30*x^4+19*x^2+23*x+27', 'y^2=6*x^6+21*x^5+26*x^4+16*x^3+7*x+11', 'y^2=23*x^6+15*x^5+3*x^4+7*x^3+19*x^2+6*x+17', 'y^2=4*x^6+15*x^5+7*x^4+25*x^3+22*x^2+30*x+9', 'y^2=24*x^6+4*x^5+14*x^4+4*x^3+20*x^2+19*x+26', 'y^2=14*x^6+18*x^5+14*x^4+20*x^3+5*x^2+19*x+18', 'y^2=7*x^6+5*x^5+6*x^4+13*x^3+12*x^2+11*x+14', 'y^2=x^6+11*x^5+30*x^3+28*x^2+17', 'y^2=6*x^6+x^5+12*x^4+4*x^3+23*x^2+8*x+26', 'y^2=25*x^6+23*x^5+2*x^4+17*x^3+28*x^2+29*x+30', 'y^2=9*x^6+16*x^5+27*x^4+18*x^3+15*x^2+7*x+24', 'y^2=11*x^6+18*x^5+15*x^4+24*x^3+4*x^2+4*x+9', 'y^2=14*x^6+26*x^5+10*x^4+13*x^3+25*x^2+3*x+19', 'y^2=23*x^6+21*x^5+5*x^4+22*x^3+11*x^2+29*x+6', 'y^2=x^5+5*x^4+17*x^3+15*x^2+8*x+19', 'y^2=8*x^6+22*x^5+x^4+2*x^3+8*x^2+10*x+29', 'y^2=24*x^6+16*x^5+2*x^4+23*x^3+25*x^2+16*x+1', 'y^2=10*x^6+25*x^5+7*x^4+29*x^3+23*x^2+7*x+23', 'y^2=4*x^6+14*x^5+14*x^4+22*x^3+8*x^2+23*x+30', 'y^2=30*x^6+4*x^5+2*x^4+x^3+25*x^2+6*x+28', 'y^2=4*x^6+15*x^5+27*x^4+28*x^3+x^2+15*x+28', 'y^2=25*x^6+30*x^5+10*x^4+5*x^3+22*x^2+6*x+6', 'y^2=2*x^6+22*x^5+11*x^4+11*x^3+10*x^2+20*x+11', 'y^2=2*x^6+x^5+6*x^4+27*x^3+27*x^2+21*x+28', 'y^2=22*x^6+20*x^5+22*x^4+14*x^3+29*x^2+9*x+26', 'y^2=21*x^6+14*x^5+27*x^4+17*x^3+7*x^2+13*x+20', 'y^2=24*x^6+26*x^5+x^4+5*x^3+30*x^2+26*x+1', 'y^2=23*x^6+11*x^5+13*x^4+20*x^3+6*x^2+12*x+16', 'y^2=19*x^6+6*x^5+4*x^4+24*x^3+3*x^2+6*x+22', 'y^2=27*x^6+12*x^5+2*x^4+22*x^3+16*x^2+21*x+8', 'y^2=27*x^6+5*x^5+x^4+10*x^3+17*x^2+8*x+29', 'y^2=3*x^6+28*x^5+3*x^4+16*x^3+2*x^2+26*x+30', 'y^2=18*x^6+11*x^5+17*x^4+18*x^3+10*x^2+27*x+17', 'y^2=20*x^6+30*x^5+14*x^4+14*x^3+3*x^2+6*x+28', 'y^2=23*x^6+25*x^5+5*x^4+2*x^3+4*x^2+15*x+14', 'y^2=13*x^6+x^5+11*x^4+17*x^3+7*x^2+3*x+7', 'y^2=9*x^6+19*x^5+11*x^4+6*x^3+22*x^2+25*x+22', 'y^2=20*x^6+18*x^5+21*x^4+23*x^3+24*x^2+23*x', 'y^2=13*x^6+15*x^5+12*x^4+2*x^3+8*x^2+18*x+21'], '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': 10, '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': ['2.0.120.1', '2.0.3.1'], 'geometric_splitting_field': '4.0.14400.7', 'geometric_splitting_polynomials': [[100, 0, 10, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 56, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 56, 'label': '2.31.f_bw', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.120.1', '2.0.3.1'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 5, 48, 155, 961], 'poly_str': '1 5 48 155 961 ', 'primitive_models': [], 'q': 31, 'real_poly': [1, 5, -14], 'simple_distinct': ['1.31.ac', '1.31.h'], 'simple_factors': ['1.31.acA', '1.31.hA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,-V+4', '5,-21*F+9'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.14400.7', 'splitting_polynomials': [[100, 0, 10, 0, 1]], 'twist_count': 12, 'twists': [['2.31.aj_cy', '2.961.ct_dyy', 2], ['2.31.af_bw', '2.961.ct_dyy', 2], ['2.31.j_cy', '2.961.ct_dyy', 2], ['2.31.an_dg', '2.29791.afa_hba', 3], ['2.31.c_cc', '2.29791.afa_hba', 3], ['2.31.aj_bo', '2.887503681.akya_cooibny', 6], ['2.31.ag_cs', '2.887503681.akya_cooibny', 6], ['2.31.ac_cc', '2.887503681.akya_cooibny', 6], ['2.31.g_cs', '2.887503681.akya_cooibny', 6], ['2.31.j_bo', '2.887503681.akya_cooibny', 6], ['2.31.n_dg', '2.887503681.akya_cooibny', 6]], 'weak_equivalence_count': 10, 'zfv_index': 405, 'zfv_index_factorization': [[3, 4], [5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 9000, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,-V+4', '5,-21*F+9']}
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av_fq_endalg_factors • Show schema
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id: 21671
{'base_label': '2.31.f_bw', 'extension_degree': 1, 'extension_label': '1.31.ac', 'multiplicity': 1}
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id: 21672
{'base_label': '2.31.f_bw', 'extension_degree': 1, 'extension_label': '1.31.h', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.120.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.31.ac', 'galois_group': '2T1', 'places': [['30', '1'], ['1', '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': '1.31.h', 'galois_group': '2T1', 'places': [['25', '1'], ['5', '1']]}
