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av_fq_isog • Show schema
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{'abvar_count': 1849, 'abvar_counts': [1849, 2013561, 2522450176, 3513746501001, 4810557549061489, 6582523059292409856, 9012040723509519150841, 12337537448227867913255625, 16890050128843844603064680704, 23122483054406137956087858909321], 'abvar_counts_str': '1849 2013561 2522450176 3513746501001 4810557549061489 6582523059292409856 9012040723509519150841 12337537448227867913255625 16890050128843844603064680704 23122483054406137956087858909321 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.634819497846531, 0.634819497846531], 'center_dim': 2, 'curve_count': 48, 'curve_counts': [48, 1468, 49794, 1874836, 69372408, 2565559222, 94931660424, 3512486723428, 129961711465818, 4808584245092428], 'curve_counts_str': '48 1468 49794 1874836 69372408 2565559222 94931660424 3512486723428 129961711465818 4808584245092428 ', 'curves': ['y^2=28*x^6+17*x^5+4*x^4+24*x^3+33*x^2+17*x+9', 'y^2=4*x^6+3*x^4+34*x^3+2*x^2+34*x+1', 'y^2=5*x^6+8*x^4+17*x^3+7*x^2+26*x+14', 'y^2=25*x^6+36*x^5+22*x^4+16*x^3+25*x+8', 'y^2=3*x^6+34*x^5+24*x^4+18*x^3+35*x^2+10*x+7', 'y^2=11*x^6+12*x^5+18*x^4+2*x^3+30*x^2+36*x+4', 'y^2=4*x^6+34*x^5+19*x^4+12*x^3+2*x^2+17*x+9', 'y^2=2*x^6+11*x^5+9*x^4+31*x^3+28*x^2+5*x+9', 'y^2=30*x^6+32*x^5+16*x^4+20*x^3+12*x^2+x+21', 'y^2=4*x^6+36*x^5+x^4+7*x^3+11*x^2+27*x+33', 'y^2=6*x^6+16*x^5+20*x^4+7*x^3+32*x^2+x+8', 'y^2=2*x^6+14*x^3+20'], 'dim1_distinct': 1, '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, 'g': 2, 'galois_groups': ['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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.123.1'], 'geometric_splitting_field': '2.0.123.1', 'geometric_splitting_polynomials': [[31, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.37.k_dv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [43], 'number_fields': ['2.0.123.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 10, 99, 370, 1369], 'poly_str': '1 10 99 370 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 10, 25], 'simple_distinct': ['1.37.f'], 'simple_factors': ['1.37.fA', '1.37.fB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.123.1', 'splitting_polynomials': [[31, -1, 1]], 'twist_count': 6, 'twists': [['2.37.ak_dv', '2.1369.du_hpr', 2], ['2.37.a_bx', '2.1369.du_hpr', 2], ['2.37.af_am', '2.50653.abhc_qhjy', 3], ['2.37.a_abx', '2.1874161.zy_ilswh', 4], ['2.37.f_am', '2.2565726409.ajnii_bngaxcuo', 6]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.37.k_dv', 'extension_degree': 1, 'extension_label': '1.37.f', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.123.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.f', 'galois_group': '2T1', 'places': [['2', '1'], ['34', '1']]}