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av_fq_isog • Show schema
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{'abvar_count': 1800, 'abvar_counts': [1800, 1872000, 2596811400, 3504384000000, 4808518496109000, 6582952007890128000, 9012138408539392998600, 12337505409661046784000000, 16890051107942857450629016200, 23122483666661168218892782800000], 'abvar_counts_str': '1800 1872000 2596811400 3504384000000 4808518496109000 6582952007890128000 9012138408539392998600 12337505409661046784000000 16890051107942857450629016200 23122483666661168218892782800000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.447431543288747, 0.947431543288747], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 48, 'curve_counts': [48, 1370, 51264, 1869838, 69343008, 2565726410, 94932689424, 3512477602078, 129961718999568, 4808584372417850], 'curve_counts_str': '48 1370 51264 1869838 69343008 2565726410 94932689424 3512477602078 129961718999568 4808584372417850 ', 'curves': ['y^2=26*x^6+34*x^5+16*x^4+36*x^3+15*x^2+16*x+10', 'y^2=11*x^6+27*x^5+35*x^4+16*x^3+21*x^2+15*x+10', 'y^2=31*x^5+30*x^4+35*x^3+2*x^2+22*x+16', 'y^2=10*x^6+23*x^5+16*x^4+2*x^3+17*x^2+18*x+29', 'y^2=25*x^6+9*x^5+31*x^4+10*x^3+3*x^2+25*x', 'y^2=33*x^6+23*x^5+17*x^4+20*x^3+21*x^2+15*x+25', 'y^2=29*x^6+29*x^5+31*x^4+28*x^3+8*x^2+32*x', 'y^2=14*x^6+x^5+30*x^4+31*x^3+12*x^2+11*x+21', 'y^2=32*x^6+35*x^5+19*x^3+18*x^2+10*x+26', 'y^2=x^5+36*x^4+25*x^3+35*x^2+7*x+10', 'y^2=12*x^6+34*x^5+30*x^4+30*x^2+3*x+12', 'y^2=7*x^6+5*x^5+3*x^4+27*x^3+22*x^2+15*x+30', 'y^2=17*x^6+11*x^5+14*x^4+14*x^3+14*x^2+11*x+17', 'y^2=27*x^6+23*x^5+6*x^4+10*x^3+24*x^2+17*x+12', 'y^2=2*x^6+30*x^5+33*x^4+34*x^3+33*x^2+30*x+2', 'y^2=9*x^6+15*x^5+25*x^4+5*x^3+25*x^2+15*x+9', 'y^2=6*x^6+10*x^5+23*x^4+23*x^2+27*x+6', 'y^2=27*x^6+33*x^5+10*x^4+15*x^3+8*x^2+3*x+31', 'y^2=16*x^6+12*x^5+14*x^4+33*x^3+31*x^2+3*x+9', 'y^2=21*x^5+10*x^4+35*x^3+4*x^2+33*x+30', 'y^2=35*x^6+11*x^5+34*x^4+22*x^2+20*x+15', 'y^2=22*x^6+30*x^5+27*x^3+34*x^2+28*x+10', 'y^2=11*x^6+27*x^5+14*x^4+14*x^3+13*x^2+36*x+26', 'y^2=16*x^6+8*x^5+10*x^4+6*x^3+3*x^2+15*x+13', 'y^2=14*x^6+21*x^5+33*x^4+31*x^3+34*x^2+11*x+21', 'y^2=34*x^6+8*x^5+16*x^4+25*x^3+31*x^2+7*x+17', 'y^2=5*x^6+16*x^5+23*x^4+11*x^3+15*x^2+22*x+4', 'y^2=31*x^6+3*x^5+29*x^4+22*x^3+28*x^2+28*x+7', 'y^2=36*x^6+16*x^5+17*x^4+34*x^3+2*x^2+13*x', 'y^2=5*x^6+13*x^5+27*x^4+20*x^3+29*x^2+24*x+26', 'y^2=29*x^6+23*x^5+7*x^4+31*x^3+27*x^2+23*x+7', 'y^2=21*x^6+29*x^5+14*x^4+25*x^3+21*x^2+28', 'y^2=9*x^6+9*x^5+8*x^4+2*x^3+15*x^2+32*x+1', 'y^2=30*x^6+2*x^5+23*x^4+8*x^3+23*x^2+2*x+30', 'y^2=4*x^6+5*x^5+12*x^4+25*x^3+5*x^2+18*x+6', 'y^2=25*x^6+36*x^5+9*x^4+32*x^3+32*x^2+13*x+28', 'y^2=4*x^6+32*x^5+11*x^4+20*x^3+16*x^2+20*x+7', 'y^2=15*x^6+8*x^5+3*x^4+34*x^3+3*x^2+32*x', 'y^2=36*x^6+30*x^5+18*x^4+x^3+6*x^2+32*x+14', 'y^2=11*x^6+34*x^5+21*x^4+23*x^3+8*x^2+21*x+21', 'y^2=7*x^6+29*x^5+20*x^4+27*x^3+36*x^2+5*x+36'], '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': 20, 'g': 2, 'galois_groups': ['2T1', '2T1'], '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'group_structure_count': 6, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 41, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 41, 'label': '2.37.k_by', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.4.1', '2.0.4.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 10, 50, 370, 1369], 'poly_str': '1 10 50 370 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 10, -24], 'simple_distinct': ['1.37.ac', '1.37.m'], 'simple_factors': ['1.37.acA', '1.37.mA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,3*F+1', '3,F+2', '7,-9*F^2+F+4*V-201'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.37.ao_du', '2.1369.a_adfe', 2], ['2.37.ak_by', '2.1369.a_adfe', 2], ['2.37.o_du', '2.1369.a_adfe', 2], ['2.37.ay_ik', '2.1874161.agki_slfkw', 4], ['2.37.ae_da', '2.1874161.agki_slfkw', 4], ['2.37.a_acs', '2.1874161.agki_slfkw', 4], ['2.37.a_cs', '2.1874161.agki_slfkw', 4], ['2.37.e_da', '2.1874161.agki_slfkw', 4], ['2.37.y_ik', '2.1874161.agki_slfkw', 4], ['2.37.a_ay', '2.3512479453921.aebjku_bltjzqezco', 8], ['2.37.a_y', '2.3512479453921.aebjku_bltjzqezco', 8], ['2.37.am_ed', '2.6582952005840035281.nhclfbw_haafbniyuxjaug', 12], ['2.37.ac_abh', '2.6582952005840035281.nhclfbw_haafbniyuxjaug', 12], ['2.37.c_abh', '2.6582952005840035281.nhclfbw_haafbniyuxjaug', 12], ['2.37.m_ed', '2.6582952005840035281.nhclfbw_haafbniyuxjaug', 12]], 'weak_equivalence_count': 24, 'zfv_index': 1176, 'zfv_index_factorization': [[2, 3], [3, 1], [7, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 576, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,3*F+1', '3,F+2', '7,-9*F^2+F+4*V-201']}
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av_fq_endalg_factors • Show schema
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id: 25873
{'base_label': '2.37.k_by', 'extension_degree': 1, 'extension_label': '1.37.ac', 'multiplicity': 1}
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id: 25874
{'base_label': '2.37.k_by', 'extension_degree': 1, 'extension_label': '1.37.m', 'multiplicity': 1}
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id: 25875
{'base_label': '2.37.k_by', 'extension_degree': 2, 'extension_label': '1.1369.acs', 'multiplicity': 1}
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id: 25876
{'base_label': '2.37.k_by', 'extension_degree': 2, 'extension_label': '1.1369.cs', 'multiplicity': 1}
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id: 25877
{'base_label': '2.37.k_by', 'extension_degree': 4, 'extension_label': '1.1874161.adfe', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.ac', 'galois_group': '2T1', 'places': [['6', '1'], ['31', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.m', 'galois_group': '2T1', 'places': [['6', '1'], ['31', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1369.acs', 'galois_group': '2T1', 'places': [['31', '1'], ['6', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1369.cs', 'galois_group': '2T1', 'places': [['6', '1'], ['31', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1874161.adfe', 'galois_group': '2T1', 'places': [['31', '1'], ['6', '1']]}
