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av_fq_isog • Show schema
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{'abvar_count': 2160, 'abvar_counts': [2160, 1874880, 2538319680, 3520312185600, 4807524706426800, 6582957534912245760, 9012088139060053577520, 12337507629108505146240000, 16890053757044033513912927040, 23122483675643772950751679550400], 'abvar_counts_str': '2160 1874880 2538319680 3520312185600 4807524706426800 6582957534912245760 9012088139060053577520 12337507629108505146240000 16890053757044033513912927040 23122483675643772950751679550400 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.69515222749844, 0.80713886692251], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 55, 'curve_counts': [55, 1369, 50110, 1878337, 69328675, 2565728566, 94932159895, 3512478233953, 129961739383270, 4808584374285889], 'curve_counts_str': '55 1369 50110 1878337 69328675 2565728566 94932159895 3512478233953 129961739383270 4808584374285889 ', 'curves': ['y^2=27*x^6+x^5+28*x^3+15*x+28', 'y^2=34*x^6+18*x^5+12*x^4+7*x^3+33*x^2+6*x+1', 'y^2=8*x^6+24*x^5+24*x^4+14*x^3+21*x+23', 'y^2=30*x^6+28*x^5+15*x^4+18*x^3+34*x^2+15*x+11', 'y^2=25*x^6+28*x^5+36*x^4+33*x^3+34*x^2+11*x+21', 'y^2=30*x^6+21*x^5+29*x^4+11*x^3+8*x^2+27*x+14', 'y^2=7*x^6+27*x^5+3*x^4+28*x^3+7*x^2+34*x+25', 'y^2=33*x^6+5*x^5+9*x^4+14*x^3+34*x^2+30*x+3', 'y^2=34*x^6+2*x^5+26*x^4+14*x^3+9*x^2+19*x+3', 'y^2=15*x^6+6*x^5+11*x^4+16*x^3+27*x^2+17*x+26'], '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': 18, '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': ['2.0.11.1', '2.0.3.1'], 'geometric_splitting_field': '4.0.1089.1', 'geometric_splitting_polynomials': [[9, -3, -2, -1, 1]], 'group_structure_count': 9, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 10, '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': 10, 'label': '2.37.r_fo', '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': ['2.0.11.1', '2.0.3.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 17, 144, 629, 1369], 'poly_str': '1 17 144 629 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 17, 70], 'simple_distinct': ['1.37.h', '1.37.k'], 'simple_factors': ['1.37.hA', '1.37.kA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,F-V-3', '2,-3*F-1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1089.1', 'splitting_polynomials': [[9, -3, -2, -1, 1]], 'twist_count': 12, 'twists': [['2.37.ar_fo', '2.1369.ab_dci', 2], ['2.37.ad_e', '2.1369.ab_dci', 2], ['2.37.d_e', '2.1369.ab_dci', 2], ['2.37.ae_ad', '2.50653.auy_immo', 3], ['2.37.i_dd', '2.50653.auy_immo', 3], ['2.37.as_fv', '2.2565726409.dey_ainrvlkc', 6], ['2.37.ai_dd', '2.2565726409.dey_ainrvlkc', 6], ['2.37.ag_cp', '2.2565726409.dey_ainrvlkc', 6], ['2.37.e_ad', '2.2565726409.dey_ainrvlkc', 6], ['2.37.g_cp', '2.2565726409.dey_ainrvlkc', 6], ['2.37.s_fv', '2.2565726409.dey_ainrvlkc', 6]], 'weak_equivalence_count': 21, 'zfv_index': 108, 'zfv_index_factorization': [[2, 2], [3, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4752, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,F-V-3', '2,-3*F-1']}
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av_fq_endalg_factors • Show schema
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id: 25966
{'base_label': '2.37.r_fo', 'extension_degree': 1, 'extension_label': '1.37.h', 'multiplicity': 1}
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id: 25967
{'base_label': '2.37.r_fo', 'extension_degree': 1, 'extension_label': '1.37.k', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.h', 'galois_group': '2T1', 'places': [['13', '1'], ['23', '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': '1.37.k', 'galois_group': '2T1', 'places': [['10', '1'], ['26', '1']]}
