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av_fq_isog • Show schema
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{'abvar_count': 621, 'abvar_counts': [621, 296217, 148795947, 78638800509, 41373171054576, 21912104659156713, 11593158528252981447, 6132609890616550125717, 3244157724046503659027337, 1716155468997041273376367872], 'abvar_counts_str': '621 296217 148795947 78638800509 41373171054576 21912104659156713 11593158528252981447 6132609890616550125717 3244157724046503659027337 1716155468997041273376367872 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.366410659758785, 0.75596964338881], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 27, 'curve_counts': [27, 559, 12231, 281011, 6428052, 148018867, 3404920077, 78310978579, 1801156444677, 41426502467134], 'curve_counts_str': '27 559 12231 281011 6428052 148018867 3404920077 78310978579 1801156444677 41426502467134 ', 'curves': ['y^2=2*x^6+17*x^5+11*x^4+12*x^3+8*x^2+20*x+18', 'y^2=8*x^6+19*x^5+2*x^4+22*x^3+5*x^2+17*x+21', 'y^2=12*x^6+3*x^5+22*x^4+5*x^3+12*x^2+6*x+13', 'y^2=6*x^6+9*x^5+13*x^4+21*x^3+6*x^2+18*x+9', 'y^2=11*x^6+15*x^5+2*x^4+x^3+8*x^2+5*x+19', 'y^2=20*x^6+21*x^5+7*x^4+16*x^3+18*x^2+17*x+11', 'y^2=5*x^6+20*x^5+20*x^4+12*x^3+9*x^2+9*x+6', 'y^2=12*x^6+15*x^5+18*x^4+11*x^3+21*x+17', 'y^2=2*x^6+16*x^5+12*x^4+10*x^3+9*x^2+12*x+9', 'y^2=5*x^6+19*x^5+2*x^4+13*x^3+20*x^2+9*x+13', 'y^2=x^6+21*x^5+21*x^4+15*x^3+9*x^2+12*x+16', 'y^2=19*x^6+14*x^5+20*x^4+19*x^2+11*x+9', 'y^2=6*x^6+14*x^5+5*x^4+17*x^3+16*x^2+7*x+19', 'y^2=13*x^6+14*x^5+14*x^4+10*x^3+11*x^2+5*x+18', 'y^2=15*x^6+19*x^5+12*x^4+10*x^3+17*x^2+7*x+19', 'y^2=2*x^6+6*x^5+8*x^4+2*x^3+15*x^2+16*x+9', 'y^2=22*x^6+11*x^5+22*x^4+20*x^3+17*x^2+14*x+13', 'y^2=2*x^6+19*x^4+5*x^3+22*x^2+22*x+17', 'y^2=15*x^6+9*x^5+20*x^4+4*x^3+x^2+11*x+1', 'y^2=15*x^6+2*x^5+20*x^4+13*x^3+11*x^2+4*x+9', 'y^2=7*x^6+20*x^5+2*x^4+19*x^3+4*x^2+10*x+2', 'y^2=20*x^6+18*x^5+11*x^4+15*x^3+x^2+12*x+21', 'y^2=6*x^6+6*x^4+14*x^3+17*x^2+4*x+10', 'y^2=18*x^6+4*x^5+3*x^4+19*x^3+2*x^2+17*x+19', 'y^2=11*x^6+16*x^5+3*x^4+11*x^3+20*x^2+17*x+8', 'y^2=18*x^6+16*x^5+4*x^4+9*x^3+14*x^2+6*x+4', 'y^2=8*x^6+10*x^5+16*x^4+14*x^3+19*x^2+12*x+4', 'y^2=21*x^6+5*x^5+20*x^4+6*x^3+14*x^2+1', 'y^2=20*x^6+18*x^5+9*x^2+4*x+21', 'y^2=18*x^6+12*x^5+17*x^4+16*x^3+14*x^2+17*x+12', 'y^2=x^6+16*x^5+20*x^4+12*x^3+10*x^2+18*x+4', 'y^2=7*x^6+9*x^5+21*x^4+22*x^3+21*x^2+6*x+3', 'y^2=9*x^6+8*x^5+4*x^4+18*x^3+6*x^2+2*x+6', 'y^2=10*x^6+2*x^5+10*x^4+12*x^3+19*x^2+5*x+2', 'y^2=17*x^6+12*x^5+16*x^4+10*x^3+14*x^2+20*x+13', 'y^2=9*x^6+17*x^5+18*x^4+9*x^3+16*x^2+3*x+5', 'y^2=6*x^6+20*x^5+22*x^4+5*x^3+6*x^2+11*x+4', 'y^2=9*x^6+5*x^5+7*x^4+22*x^3+14*x^2+7*x+22', 'y^2=18*x^6+2*x^5+15*x^4+10*x+4', 'y^2=18*x^6+18*x^5+16*x^4+2*x^3+11*x^2+x+11', 'y^2=13*x^6+4*x^5+7*x^3+9*x^2+7*x', 'y^2=8*x^6+10*x^5+16*x^4+16*x^3+10*x^2+6*x+10', 'y^2=6*x^6+12*x^5+15*x^4+19*x^3+14*x^2+16*x+9', 'y^2=8*x^6+12*x^5+20*x^4+17*x^3+16*x^2+12*x+2', 'y^2=22*x^6+22*x^5+17*x^4+18*x^3+12*x^2+1', 'y^2=4*x^6+4*x^5+18*x^4+x^3+6*x^2+14*x+22', 'y^2=10*x^6+8*x^5+5*x^4+2*x^3+13*x+6', 'y^2=6*x^6+x^5+x^4+16*x^3+19*x^2+8*x+5', 'y^2=22*x^6+7*x^5+5*x^4+17*x^3+21*x^2+7*x+16', 'y^2=21*x^6+16*x^5+20*x^4+22*x^3+16*x^2+22*x+2', 'y^2=6*x^6+8*x^5+5*x^4+19*x^3+20*x^2+21*x+14', 'y^2=19*x^6+5*x^5+20*x^4+11*x^3+8*x^2+15*x+20', 'y^2=22*x^6+x^5+17*x^4+2*x^3+20*x^2+x+7', 'y^2=5*x^6+15*x^4+10*x^3+19*x^2+9*x+17', 'y^2=19*x^6+19*x^5+19*x^4+7*x^3+3*x^2+x+17', 'y^2=16*x^6+12*x^5+14*x^4+10*x^3+3*x^2+2*x+20', 'y^2=19*x^6+7*x^5+8*x^4+5*x^3+x^2+12*x+12', 'y^2=9*x^6+12*x^5+15*x^4+5*x^3+6*x^2+8*x+9', 'y^2=20*x^6+10*x^5+17*x^4+3*x^3+10*x^2+19', 'y^2=11*x^6+15*x^5+16*x^4+5*x^3+5*x^2+19*x+5'], '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': ['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': ['4.0.574093.1'], 'geometric_splitting_field': '4.0.574093.1', 'geometric_splitting_polynomials': [[243, -29, 29, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 60, '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': 60, 'label': '2.23.d_t', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['4.0.574093.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 17, 1, 10], [1, 23, 1, 20]], 'poly': [1, 3, 19, 69, 529], 'poly_str': '1 3 19 69 529 ', 'primitive_models': [], 'principal_polarization_count': 60, 'q': 23, 'real_poly': [1, 3, -27], 'simple_distinct': ['2.23.d_t'], 'simple_factors': ['2.23.d_tA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-3*F-7*V-17', '3,-F-2'], 'size': 100, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.574093.1', 'splitting_polynomials': [[243, -29, 29, -1, 1]], 'twist_count': 2, 'twists': [['2.23.ad_t', '2.529.bd_bmr', 2]], 'weak_equivalence_count': 4, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 40, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 3397, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,-3*F-7*V-17', '3,-F-2']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.23.d_t', 'extension_degree': 1, 'extension_label': '2.23.d_t', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.574093.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.d_t', 'galois_group': '4T3', 'places': [['9', '1', '0', '0'], ['15', '1', '0', '0'], ['5', '1', '0', '0'], ['16', '1', '0', '0']]}
