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av_fq_isog • Show schema
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{'abvar_count': 872, 'abvar_counts': [872, 760384, 594774632, 501354628096, 420707250157352, 353756862870735424, 297558232697054684072, 250247277115750656000000, 210457284365143576005894632, 176994590334960754428759651904], 'abvar_counts_str': '872 760384 594774632 501354628096 420707250157352 353756862870735424 297558232697054684072 250247277115750656000000 210457284365143576005894632 176994590334960754428759651904 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.336520527559747, 0.663479472440253], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 30, 'curve_counts': [30, 902, 24390, 708846, 20511150, 594725942, 17249876310, 500248019038, 14507145975870, 420707267014502], 'curve_counts_str': '30 902 24390 708846 20511150 594725942 17249876310 500248019038 14507145975870 420707267014502 ', 'curves': ['y^2=18*x^6+20*x^5+20*x^4+16*x^3+20*x^2+20*x', 'y^2=7*x^6+11*x^5+11*x^4+3*x^3+11*x^2+11*x', 'y^2=16*x^6+25*x^5+8*x^4+15*x^3+23*x^2+13*x+9', 'y^2=3*x^6+21*x^5+16*x^4+x^3+17*x^2+26*x+18', 'y^2=25*x^6+7*x^5+5*x^4+17*x^3+x^2+16*x+14', 'y^2=14*x^6+14*x^5+6*x^4+5*x^3+24*x^2+16*x+25', 'y^2=28*x^6+28*x^5+12*x^4+10*x^3+19*x^2+3*x+21', 'y^2=7*x^6+9*x^5+16*x^4+13*x^3+17*x^2+23*x+10', 'y^2=26*x^6+17*x^5+14*x^4+6*x^3+24*x^2+11*x+9', 'y^2=23*x^6+5*x^5+28*x^4+12*x^3+19*x^2+22*x+18', 'y^2=10*x^6+14*x^5+9*x^4+25*x^3+2*x^2+10*x+20', 'y^2=10*x^6+21*x^5+24*x^4+22*x^3+25*x^2+8*x+27', 'y^2=8*x^6+23*x^5+16*x^4+27*x^3+28*x^2+27*x+6', 'y^2=16*x^6+17*x^5+3*x^4+25*x^3+27*x^2+25*x+12', 'y^2=26*x^6+9*x^5+20*x^4+11*x^3+x^2+x+9', 'y^2=23*x^6+18*x^5+11*x^4+22*x^3+2*x^2+2*x+18', 'y^2=25*x^6+14*x^5+8*x^4+14*x^3+5*x^2+10*x+21', 'y^2=24*x^6+8*x^5+11*x^4+10*x^3+7*x^2+27*x+15', 'y^2=5*x^6+8*x^5+4*x^4+25*x^3+2*x^2+27*x+1', 'y^2=7*x^5+21*x^4+8*x^3+5*x^2+5*x', 'y^2=16*x^6+5*x^5+21*x^4+25*x^3+28*x^2+8*x+4', 'y^2=3*x^6+10*x^5+13*x^4+21*x^3+27*x^2+16*x+8', 'y^2=21*x^6+7*x^5+5*x^3+25*x^2+28*x+26', 'y^2=13*x^6+14*x^5+10*x^3+21*x^2+27*x+23', 'y^2=28*x^6+26*x^5+8*x^4+5*x^3+2*x^2+19*x+24', 'y^2=27*x^6+23*x^5+16*x^4+10*x^3+4*x^2+9*x+19', 'y^2=7*x^6+28*x^5+4*x^4+2*x^3+21', 'y^2=5*x^6+25*x^5+5*x^4+24*x^3+6*x^2+22*x+7', 'y^2=10*x^6+21*x^5+10*x^4+19*x^3+12*x^2+15*x+14', 'y^2=18*x^6+15*x^5+15*x^4+15*x^3+9*x^2+18*x+9', 'y^2=7*x^6+x^5+x^4+x^3+18*x^2+7*x+18', 'y^2=2*x^6+8*x^5+20*x^4+23*x^3+6*x^2+17*x+5', 'y^2=9*x^6+19*x^5+24*x^4+28*x^3+23*x^2+3*x+15', 'y^2=11*x^6+27*x^5+4*x^4+12*x^2+11*x+7', 'y^2=27*x^6+18*x^5+25*x^4+x^3+21*x^2+27*x+18', 'y^2=25*x^6+7*x^5+21*x^4+2*x^3+13*x^2+25*x+7', 'y^2=12*x^6+6*x^5+6*x^4+26*x^3+26*x^2+22*x+23', 'y^2=24*x^6+12*x^5+12*x^4+23*x^3+23*x^2+15*x+17', 'y^2=27*x^6+11*x^5+20*x^4+11*x^3+8*x^2+23*x+22', 'y^2=12*x^6+25*x^5+2*x^4+13*x^3+9*x^2+22*x+18', 'y^2=24*x^6+13*x^5+15*x^4+26*x^3+24*x^2+25*x+19', 'y^2=21*x^6+17*x^5+14*x^4+6*x^3+21*x^2+13*x', 'y^2=25*x^6+7*x^5+5*x^4+11*x^3+4*x^2+7*x+12', 'y^2=21*x^6+14*x^5+10*x^4+22*x^3+8*x^2+14*x+24'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 4, 'g': 2, 'galois_groups': ['4T2'], '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': ['2.0.616.1'], 'geometric_splitting_field': '2.0.616.1', 'geometric_splitting_polynomials': [[154, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 44, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 44, 'label': '2.29.a_be', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.1517824.4'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 30, 0, 841], 'poly_str': '1 0 30 0 841 ', 'primitive_models': [], 'q': 29, 'real_poly': [1, 0, -28], 'simple_distinct': ['2.29.a_be'], 'simple_factors': ['2.29.a_beA'], 'simple_multiplicities': [1], 'singular_primes': ['2,15*F+14*V+7'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1517824.4', 'splitting_polynomials': [[841, 0, 30, 0, 1]], 'twist_count': 2, 'twists': [['2.29.a_abe', '2.707281.cie_elhek', 4]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 7744, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,15*F+14*V+7']}
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av_fq_endalg_factors • Show schema
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id: 18306
{'base_label': '2.29.a_be', 'extension_degree': 1, 'extension_label': '2.29.a_be', 'multiplicity': 1}
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id: 18307
{'base_label': '2.29.a_be', 'extension_degree': 2, 'extension_label': '1.841.be', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.1517824.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.29.a_be', 'galois_group': '4T2', 'places': [['16', '59/29', '28', '1/29'], ['11', '59/29', '28', '1/29'], ['12', '59/29', '28', '1/29'], ['17', '59/29', '28', '1/29']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.616.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.841.be', 'galois_group': '2T1', 'places': [['22', '1'], ['7', '1']]}
