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av_fq_isog • Show schema
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{'abvar_count': 875, 'abvar_counts': [875, 765625, 594776000, 501087015625, 420707238021875, 353758490176000000, 297558232706469462875, 250247537119308707015625, 210457284365150593471064000, 176994580123994585662978515625], 'abvar_counts_str': '875 765625 594776000 501087015625 420707238021875 353758490176000000 297558232706469462875 250247537119308707015625 210457284365150593471064000 176994580123994585662978515625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.346328109962955, 0.653671890037045], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 30, 'curve_counts': [30, 908, 24390, 708468, 20511150, 594728678, 17249876310, 500248538788, 14507145975870, 420707242743548], 'curve_counts_str': '30 908 24390 708468 20511150 594728678 17249876310 500248538788 14507145975870 420707242743548 ', 'curves': ['y^2=8*x^6+14*x^5+10*x^4+5*x^3+16*x^2+15*x+9', 'y^2=16*x^6+28*x^5+20*x^4+10*x^3+3*x^2+x+18', 'y^2=x^6+12*x^5+4*x^4+13*x^3+8*x^2+13*x+20', 'y^2=10*x^6+12*x^5+28*x^4+15*x^3+28*x^2+12*x+10', 'y^2=20*x^6+24*x^5+27*x^4+x^3+27*x^2+24*x+20', 'y^2=7*x^6+11*x^5+10*x^4+13*x^3+28*x^2+11*x+1', 'y^2=14*x^6+22*x^5+20*x^4+26*x^3+27*x^2+22*x+2', 'y^2=x^6+2*x^5+20*x^4+13*x^3+28*x^2+5*x+2', 'y^2=2*x^6+4*x^5+11*x^4+26*x^3+27*x^2+10*x+4', 'y^2=9*x^6+25*x^5+15*x^4+11*x^3+4*x^2+18*x+9', 'y^2=18*x^6+21*x^5+x^4+22*x^3+8*x^2+7*x+18', 'y^2=16*x^6+10*x^5+2*x^4+26*x^3+22*x^2+25*x+22', 'y^2=3*x^6+20*x^5+4*x^4+23*x^3+15*x^2+21*x+15', 'y^2=13*x^6+16*x^5+15*x^4+28*x^2+2*x+5', 'y^2=25*x^6+5*x^5+9*x^4+20*x^3+18*x^2+6*x+1', 'y^2=3*x^6+28*x^4+22*x^3+28*x^2+19*x+28', 'y^2=6*x^6+27*x^4+15*x^3+27*x^2+9*x+27', 'y^2=23*x^6+5*x^5+15*x^4+16*x^3+4*x^2+7*x+26', 'y^2=17*x^6+10*x^5+x^4+3*x^3+8*x^2+14*x+23', 'y^2=11*x^6+6*x^5+5*x^4+9*x^3+5*x^2+6*x+11', 'y^2=22*x^6+12*x^5+10*x^4+18*x^3+10*x^2+12*x+22', 'y^2=12*x^6+15*x^5+3*x^4+17*x^3+27*x^2+6*x+9', 'y^2=24*x^6+x^5+6*x^4+5*x^3+25*x^2+12*x+18', 'y^2=12*x^6+18*x^5+28*x^4+3*x^3+12*x^2+6*x+18', 'y^2=24*x^6+7*x^5+27*x^4+6*x^3+24*x^2+12*x+7', 'y^2=4*x^6+17*x^5+25*x^3+10*x^2+19*x+3', 'y^2=8*x^6+5*x^5+21*x^3+20*x^2+9*x+6', 'y^2=17*x^6+21*x^5+10*x^4+25*x^2+2*x+10', 'y^2=3*x^6+10*x^5+9*x^4+10*x^3+4*x^2+2*x+25', 'y^2=6*x^6+20*x^5+18*x^4+20*x^3+8*x^2+4*x+21', 'y^2=15*x^6+13*x^5+8*x^4+22*x^3+8*x^2+13*x+15', 'y^2=x^6+26*x^5+16*x^4+15*x^3+16*x^2+26*x+1', 'y^2=27*x^6+21*x^5+13*x^4+19*x^3+20*x^2+4*x+16', 'y^2=25*x^6+13*x^5+26*x^4+9*x^3+11*x^2+8*x+3', 'y^2=21*x^6+5*x^5+5*x^4+3*x^3+5*x^2+5*x+21', 'y^2=13*x^6+10*x^5+10*x^4+6*x^3+10*x^2+10*x+13', 'y^2=x^6+3*x^5+10*x^4+8*x^3+10*x^2+3*x+1', 'y^2=2*x^6+6*x^5+20*x^4+16*x^3+20*x^2+6*x+2'], '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': 8, '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.91.1'], 'geometric_splitting_field': '2.0.91.1', 'geometric_splitting_polynomials': [[23, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 38, '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': 38, 'label': '2.29.a_bh', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [5], 'number_fields': ['2.0.91.1', '2.0.91.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 33, 0, 841], 'poly_str': '1 0 33 0 841 ', 'primitive_models': [], 'q': 29, 'real_poly': [1, 0, -25], 'simple_distinct': ['1.29.af', '1.29.f'], 'simple_factors': ['1.29.afA', '1.29.fA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F^2+F+13', '5,8*F-7', '5,8*F-V-24'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.91.1', 'splitting_polynomials': [[23, -1, 1]], 'twist_count': 6, 'twists': [['2.29.ak_df', '2.841.co_ecp', 2], ['2.29.k_df', '2.841.co_ecp', 2], ['2.29.a_abh', '2.707281.btq_dwmtf', 4], ['2.29.af_ae', '2.594823321.afkae_lcpsqig', 6], ['2.29.f_ae', '2.594823321.afkae_lcpsqig', 6]], 'weak_equivalence_count': 8, 'zfv_index': 100, 'zfv_index_factorization': [[2, 2], [5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 8281, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,F^2+F+13', '5,8*F-7', '5,8*F-V-24']}
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av_fq_endalg_factors • Show schema
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id: 19417
{'base_label': '2.29.a_bh', 'extension_degree': 1, 'extension_label': '1.29.af', 'multiplicity': 1}
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id: 19418
{'base_label': '2.29.a_bh', 'extension_degree': 1, 'extension_label': '1.29.f', 'multiplicity': 1}
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id: 19419
{'base_label': '2.29.a_bh', 'extension_degree': 2, 'extension_label': '1.841.bh', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.91.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.29.af', 'galois_group': '2T1', 'places': [['26', '1'], ['2', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.91.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.29.f', 'galois_group': '2T1', 'places': [['2', '1'], ['26', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.91.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.841.bh', 'galois_group': '2T1', 'places': [['26', '1'], ['2', '1']]}
