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av_fq_isog • Show schema
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{'abvar_count': 1264, 'abvar_counts': [1264, 950528, 892092016, 852296634368, 819156831743344, 787748694587379968, 756943852214544396784, 727423356678786146435072, 699053349238967219273354224, 671790509952706128947569406208], 'abvar_counts_str': '1264 950528 892092016 852296634368 819156831743344 787748694587379968 756943852214544396784 727423356678786146435072 699053349238967219273354224 671790509952706128947569406208 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.452462187559062, 0.834089736007715], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 40, 'curve_counts': [40, 990, 29944, 922878, 28612680, 887600478, 27512611096, 852891312894, 26439611919976, 819628263962590], 'curve_counts_str': '40 990 29944 922878 28612680 887600478 27512611096 852891312894 26439611919976 819628263962590 ', 'curves': ['y^2=19*x^5+x^4+27*x^3+17*x^2+11*x+13', 'y^2=14*x^6+4*x^5+16*x^4+14*x^3+6*x^2+12*x+6', 'y^2=12*x^6+4*x^5+21*x^4+2*x^3+19*x^2+18*x+13', 'y^2=16*x^6+12*x^5+15*x^4+27*x^3+20*x^2+4*x', 'y^2=30*x^6+13*x^5+12*x^3+4*x^2+9*x+7', 'y^2=x^6+17*x^5+21*x^4+2*x^3+30*x^2+12*x+12', 'y^2=10*x^6+9*x^5+20*x^3+27*x^2+29*x+4', 'y^2=4*x^6+26*x^5+27*x^4+24*x^3+20*x^2+29*x+17', 'y^2=3*x^6+11*x^5+4*x^4+19*x^3+17*x^2+26*x+2', 'y^2=9*x^6+4*x^5+7*x^4+14*x^3+3*x^2+18*x+11', 'y^2=2*x^6+26*x^5+5*x^4+30*x^3+30*x^2+18*x+6', 'y^2=7*x^6+13*x^5+24*x^4+19*x^3+24*x^2+13*x+20', 'y^2=19*x^6+11*x^5+20*x^4+9*x^3+21*x^2+20*x+9', 'y^2=x^6+27*x^5+23*x^4+18*x^3+28*x^2+6*x+5', 'y^2=19*x^6+13*x^5+21*x^4+21*x^3+14*x^2+2*x+3', 'y^2=10*x^6+5*x^5+16*x^4+7*x^3+23*x^2+15*x+25', 'y^2=17*x^6+11*x^4+28*x^3+13*x^2+14*x+29', 'y^2=22*x^6+17*x^5+4*x^3+2*x^2+18*x', 'y^2=14*x^5+12*x^4+22*x^3+16*x^2+24*x+15', 'y^2=21*x^6+28*x^5+30*x^3+22*x^2+x+10', 'y^2=11*x^6+19*x^5+24*x^4+22*x^3+21*x^2+x+26', 'y^2=12*x^6+21*x^5+21*x^4+20*x^3+28*x^2+6*x+14', 'y^2=5*x^6+8*x^5+8*x^4+21*x^3+11*x^2+21*x+16', 'y^2=29*x^6+13*x^5+23*x^4+24*x^3+25*x^2+25*x+16', 'y^2=6*x^6+7*x^5+23*x^4+6*x^3+28*x^2+22*x+6', 'y^2=19*x^6+14*x^5+22*x^4+20*x^3+29*x^2+25*x+2', 'y^2=3*x^6+25*x^5+22*x^4+8*x^3+18*x^2+11*x+24', 'y^2=4*x^6+7*x^5+24*x^4+23*x^3+6*x^2+3*x+23', 'y^2=14*x^6+23*x^5+8*x^4+26*x^3+12*x^2+28*x+19', 'y^2=7*x^6+13*x^5+9*x^4+9*x^3+29*x^2+29*x+2', 'y^2=19*x^6+17*x^5+26*x^4+26*x^3+15*x^2+15*x+8', 'y^2=10*x^6+21*x^5+18*x^4+20*x^3+12*x^2+17*x+5', 'y^2=20*x^6+27*x^5+6*x^4+5*x^3+13*x^2+17*x+7', 'y^2=16*x^6+17*x^5+7*x^4+6*x^3+13*x^2+11*x+14', 'y^2=29*x^6+14*x^5+19*x^4+18*x^3+28*x^2+20*x+19', 'y^2=24*x^6+25*x^5+x^4+18*x^3+8*x^2+4*x+10', 'y^2=23*x^6+9*x^5+5*x^4+24*x^3+28*x^2+20*x+5', 'y^2=13*x^6+27*x^5+30*x^4+6*x^3+9*x^2+5*x+8', 'y^2=30*x^6+24*x^5+28*x^4+6*x^3+5*x^2+16*x+29', 'y^2=5*x^6+20*x^5+25*x^4+12*x^3+24*x^2+27*x+23', 'y^2=x^6+6*x^5+22*x^4+9*x^3+11*x+1', 'y^2=15*x^6+21*x^5+x^4+27*x^3+18*x^2+30*x+16', 'y^2=16*x^6+29*x^5+24*x^4+11*x^3+x^2+2*x+18', 'y^2=30*x^6+21*x^5+11*x^4+20*x^2+14*x+28', 'y^2=17*x^6+12*x^5+6*x^4+29*x^2+2*x+21', 'y^2=2*x^6+16*x^5+9*x^4+24*x^3+16*x^2+18*x+16', 'y^2=26*x^6+2*x^5+14*x^4+10*x^3+x^2+10*x+30', 'y^2=x^6+17*x^5+27*x^4+18*x^3+2*x^2+5*x+25', 'y^2=27*x^6+15*x^5+2*x^4+2*x^3+12*x^2+15*x+16', 'y^2=13*x^6+9*x^5+29*x^4+18*x^3+26*x^2+18*x+14', 'y^2=17*x^6+19*x^4+22*x^3+7*x^2+8*x+20', 'y^2=25*x^6+20*x^5+21*x^4+23*x^3+6*x^2+29*x+21', 'y^2=3*x^6+30*x^5+28*x^4+22*x^3+23*x^2+30*x+28', 'y^2=20*x^6+9*x^5+8*x^4+20*x^3+23*x^2+19*x+13'], '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': 12, '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': ['4.0.14912.2'], 'geometric_splitting_field': '4.0.14912.2', 'geometric_splitting_polynomials': [[17, -10, 11, -2, 1]], 'group_structure_count': 5, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 54, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 54, 'label': '2.31.i_bu', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.14912.2'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 17, 1, 12], [1, 31, 1, 24]], 'poly': [1, 8, 46, 248, 961], 'poly_str': '1 8 46 248 961 ', 'primitive_models': [], 'principal_polarization_count': 54, 'q': 31, 'real_poly': [1, 8, -16], 'simple_distinct': ['2.31.i_bu'], 'simple_factors': ['2.31.i_buA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-3*F^2-V-8'], 'size': 108, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.14912.2', 'splitting_polynomials': [[17, -10, 11, -2, 1]], 'twist_count': 2, 'twists': [['2.31.ai_bu', '2.961.bc_cs', 2]], 'weak_equivalence_count': 15, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 24, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 3728, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-3*F^2-V-8']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.31.i_bu', 'extension_degree': 1, 'extension_label': '2.31.i_bu', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.14912.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.31.i_bu', 'galois_group': '4T3', 'places': [['8', '1', '0', '0'], ['24', '1', '0', '0'], ['22', '1', '0', '0'], ['6', '1', '0', '0']]}
