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av_fq_isog • Show schema
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{'abvar_count': 1188, 'abvar_counts': [1188, 1031184, 875674800, 851052654144, 820057113807228, 787676838268320000, 756933639677873742348, 727423480000698735792384, 699053772090367845961009200, 671790517590032836625280896784], 'abvar_counts_str': '1188 1031184 875674800 851052654144 820057113807228 787676838268320000 756933639677873742348 727423480000698735792384 699053772090367845961009200 671790517590032836625280896784 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.528623632521575, 0.616954024640961], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 37, 'curve_counts': [37, 1069, 29392, 921529, 28644127, 887519518, 27512239897, 852891457489, 26439627913072, 819628273280629], 'curve_counts_str': '37 1069 29392 921529 28644127 887519518 27512239897 852891457489 26439627913072 819628273280629 ', 'curves': ['y^2=28*x^6+4*x^5+24*x^4+21*x^3+19*x^2+8*x+7', 'y^2=22*x^6+11*x^5+23*x^4+8*x^3+25*x^2+2*x+28', 'y^2=5*x^6+29*x^5+17*x^4+26*x^3+9*x^2+19*x+19', 'y^2=15*x^6+26*x^5+30*x^4+26*x^3+30*x^2+19*x+12', 'y^2=12*x^6+10*x^5+7*x^4+14*x^3+27*x^2+6*x+23', 'y^2=22*x^5+15*x^4+27*x^3+30*x^2+4*x+20', 'y^2=18*x^6+5*x^5+30*x^4+23*x^3+2*x^2+9*x+28', 'y^2=28*x^6+21*x^5+22*x^4+19*x^3+6*x^2+16', 'y^2=18*x^6+20*x^5+2*x^4+22*x^3+28*x^2+9*x+2', 'y^2=18*x^6+16*x^5+28*x^4+21*x^3+24*x^2+14*x+5', 'y^2=9*x^6+9*x^5+17*x^4+20*x^3+19*x^2+5*x+15', 'y^2=9*x^6+12*x^5+28*x^4+14*x^3+30*x^2+20*x+28'], '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': ['2.0.123.1', '2.0.3.1'], 'geometric_splitting_field': '4.0.15129.1', 'geometric_splitting_polynomials': [[100, 10, 11, -1, 1]], 'group_structure_count': 6, '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': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.31.f_co', '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': ['2.0.123.1', '2.0.3.1'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 7, 1, 3], [1, 11, 1, 6]], 'poly': [1, 5, 66, 155, 961], 'poly_str': '1 5 66 155 961 ', 'primitive_models': [], 'principal_polarization_count': 24, 'q': 31, 'real_poly': [1, 5, 4], 'simple_distinct': ['1.31.b', '1.31.e'], 'simple_factors': ['1.31.bA', '1.31.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,2*V-2', '2,3*F+5'], 'size': 56, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.15129.1', 'splitting_polynomials': [[100, 10, 11, -1, 1]], 'twist_count': 12, 'twists': [['2.31.af_co', '2.961.ed_gzw', 2], ['2.31.ad_cg', '2.961.ed_gzw', 2], ['2.31.d_cg', '2.961.ed_gzw', 2], ['2.31.ak_bz', '2.29791.apk_fabm', 3], ['2.31.i_cr', '2.29791.apk_fabm', 3], ['2.31.am_cv', '2.887503681.xlc_acklrwc', 6], ['2.31.ai_cr', '2.887503681.xlc_acklrwc', 6], ['2.31.ag_cd', '2.887503681.xlc_acklrwc', 6], ['2.31.g_cd', '2.887503681.xlc_acklrwc', 6], ['2.31.k_bz', '2.887503681.xlc_acklrwc', 6], ['2.31.m_cv', '2.887503681.xlc_acklrwc', 6]], 'weak_equivalence_count': 12, 'zfv_index': 54, 'zfv_index_factorization': [[2, 1], [3, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 18, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 13284, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,2*V-2', '2,3*F+5']}
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av_fq_endalg_factors • Show schema
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id: 21777
{'base_label': '2.31.f_co', 'extension_degree': 1, 'extension_label': '1.31.b', 'multiplicity': 1}
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id: 21778
{'base_label': '2.31.f_co', 'extension_degree': 1, 'extension_label': '1.31.e', 'multiplicity': 1}
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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': '1.31.b', 'galois_group': '2T1', 'places': [['0', '1'], ['30', '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.e', 'galois_group': '2T1', 'places': [['5', '1'], ['25', '1']]}
