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av_fq_isog • Show schema
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{'abvar_count': 1124, 'abvar_counts': [1124, 723856, 599758532, 499588038656, 420454778913124, 353859052468603024, 297557711151293992004, 250246852073169026023424, 210457114738977563000760932, 176994578758696102854881381776], 'abvar_counts_str': '1124 723856 599758532 499588038656 420454778913124 353859052468603024 297557711151293992004 250246852073169026023424 210457114738977563000760932 176994578758696102854881381776 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.450837558194785, 0.853982294603121], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 38, 'curve_counts': [38, 862, 24590, 706350, 20498838, 594897742, 17249846078, 500247169374, 14507134283270, 420707239498302], 'curve_counts_str': '38 862 24590 706350 20498838 594897742 17249846078 500247169374 14507134283270 420707239498302 ', 'curves': ['y^2=7*x^6+28*x^5+12*x^4+9*x^3+19*x+21', 'y^2=26*x^6+27*x^5+16*x^4+9*x^3+14*x^2+18*x+26', 'y^2=22*x^6+19*x^5+3*x^4+8*x^3+3*x^2+22*x+22', 'y^2=x^5+10*x^4+19*x^3+14*x^2+3*x+6', 'y^2=23*x^6+8*x^5+13*x^4+6*x^3+9*x^2+23*x+16', 'y^2=5*x^5+22*x^4+11*x^3+5*x^2+23*x+14', 'y^2=21*x^6+26*x^5+12*x^4+3*x^3+4*x^2+10*x+7', 'y^2=28*x^6+3*x^4+4*x^3+8*x^2+16*x+4', 'y^2=11*x^6+6*x^5+28*x^4+4*x^3+28*x^2+12*x+23', 'y^2=12*x^6+22*x^5+6*x^4+12*x^3+5*x+17', 'y^2=5*x^6+28*x^5+16*x^4+11*x^3+23*x^2+11*x+28', 'y^2=22*x^6+8*x^5+6*x^4+5*x^3+25*x^2+7*x+7', 'y^2=11*x^6+13*x^5+10*x^4+14*x^3+2*x^2+19', 'y^2=5*x^6+23*x^5+18*x^4+18*x^3+15*x^2+5*x+9', 'y^2=2*x^6+27*x^5+19*x^4+10*x^3+18*x^2+24*x+28', 'y^2=5*x^6+3*x^5+12*x^4+8*x^3+11*x^2+18*x+1', 'y^2=22*x^5+11*x^4+20*x^3+3*x^2+4', 'y^2=27*x^6+10*x^5+4*x^4+26*x^3+13*x^2+19*x+1', 'y^2=25*x^6+12*x^5+18*x^4+28*x^2+27', 'y^2=15*x^6+19*x^5+10*x^3+16*x^2+4*x+26', 'y^2=5*x^6+16*x^5+19*x^4+25*x^3+26*x^2+20*x+18', 'y^2=x^6+26*x^5+13*x^4+24*x^3+24*x^2+4*x+20', 'y^2=16*x^6+5*x^5+16*x^4+13*x^3+6*x^2+24*x+17', 'y^2=4*x^6+4*x^5+22*x^4+3*x^3+27*x^2+3*x+2', 'y^2=5*x^6+12*x^5+20*x^4+11*x^3+25*x^2+12*x+26', 'y^2=16*x^6+26*x^5+14*x^4+18*x^3+5*x^2+22*x+19', 'y^2=17*x^6+28*x^5+20*x^4+7*x^3+7*x^2+18*x+12', 'y^2=24*x^6+2*x^5+11*x^4+9*x^3+15*x^2+3*x+3', 'y^2=5*x^6+18*x^5+5*x^4+28*x^3+26*x^2+6*x+12', 'y^2=23*x^6+19*x^5+22*x^4+7*x^3+12*x^2+16*x+1', 'y^2=22*x^6+21*x^5+22*x^4+28*x^3+21*x^2+3*x+5', 'y^2=21*x^6+4*x^5+20*x^4+3*x^3+5*x^2+28*x+5', 'y^2=21*x^5+8*x^4+16*x^3+14*x^2+12*x+6', 'y^2=6*x^6+17*x^5+21*x^4+13*x^3+21*x^2+9*x+22', 'y^2=12*x^6+28*x^5+24*x^4+7*x^3+6*x^2+13*x+20', 'y^2=20*x^6+2*x^5+19*x^4+21*x^3+18*x^2+12*x+6', 'y^2=13*x^6+21*x^5+23*x^4+3*x^3+15*x^2+14*x+22', 'y^2=4*x^6+8*x^5+17*x^4+25*x^3+18*x^2+21*x+20', 'y^2=5*x^6+26*x^5+14*x^4+15*x^3+6*x^2+13*x+2', 'y^2=22*x^6+13*x^5+26*x^4+19*x^3+23*x^2+18*x+2', 'y^2=8*x^6+12*x^5+14*x^4+27*x^3+9*x^2+18*x+22', 'y^2=18*x^6+17*x^5+10*x^4+19*x^3+6*x^2+2*x+9', 'y^2=22*x^6+2*x^5+5*x^4+20*x^3+20*x^2+27*x+7', 'y^2=25*x^6+13*x^5+12*x^4+4*x^3+27*x^2+8*x+17', 'y^2=5*x^6+22*x^5+4*x^4+2*x^3+12*x^2+5*x+27', 'y^2=16*x^6+14*x^5+3*x^4+25*x^3+19*x+16', 'y^2=x^6+27*x^5+23*x^4+27*x^3+3*x^2+12*x+9', 'y^2=21*x^6+5*x^5+3*x^4+24*x^3+24*x^2+22*x+26', 'y^2=x^6+20*x^5+18*x^4+21*x^3+3*x^2+12*x+24', 'y^2=23*x^6+21*x^5+22*x^4+20*x^3+x^2+16*x+20', 'y^2=6*x^6+28*x^5+20*x^4+27*x^3+14*x^2+18*x+10', 'y^2=24*x^6+13*x^5+12*x^4+9*x^3+21*x^2+11*x+26', 'y^2=3*x^6+22*x^5+2*x^4+24*x^3+23*x^2+23*x+24', 'y^2=16*x^6+14*x^5+26*x^4+27*x^3+16*x^2+8*x+21', 'y^2=15*x^6+24*x^5+10*x^4+11*x^3+24*x^2+24*x+4', 'y^2=13*x^6+11*x^5+5*x^4+7*x^3+24*x^2+17*x+15', 'y^2=23*x^6+24*x^5+18*x^4+11*x^3+18*x^2+28*x', 'y^2=5*x^6+x^5+24*x^4+27*x^3+28*x^2+24*x+13', 'y^2=8*x^6+26*x^5+11*x^4+12*x^3+10*x^2+5*x+20', 'y^2=6*x^6+11*x^5+22*x^4+28*x^3+11*x^2+22*x+1'], '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': 6, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.41216.1'], 'geometric_splitting_field': '4.0.41216.1', 'geometric_splitting_polynomials': [[49, -16, 16, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 60, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 60, 'label': '2.29.i_bq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.41216.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 8, 42, 232, 841], 'poly_str': '1 8 42 232 841 ', 'primitive_models': [], 'q': 29, 'real_poly': [1, 8, -16], 'simple_distinct': ['2.29.i_bq'], 'simple_factors': ['2.29.i_bqA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F+1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.41216.1', 'splitting_polynomials': [[49, -16, 16, 0, 1]], 'twist_count': 2, 'twists': [['2.29.ai_bq', '2.841.u_akg', 2]], 'weak_equivalence_count': 6, 'zfv_index': 32, 'zfv_index_factorization': [[2, 5]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 2576, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F+1']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.29.i_bq', 'extension_degree': 1, 'extension_label': '2.29.i_bq', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.41216.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.29.i_bq', 'galois_group': '4T3', 'places': [['14', '7', '2', '14'], ['0', '21', '23', '16']]}
