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av_fq_isog • Show schema
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{'abvar_count': 353, 'abvar_counts': [353, 381593, 244558400, 152301779753, 95279834032353, 59594808715289600, 37252769609748663953, 23283167891337444355913, 14551926648770383513217600, 9094946798978095397586825753], 'abvar_counts_str': '353 381593 244558400 152301779753 95279834032353 59594808715289600 37252769609748663953 23283167891337444355913 14551926648770383513217600 9094946798978095397586825753 ', 'angle_rank': 2, 'angles': [0.059048972536464, 0.36302641773318], 'center_dim': 4, 'curve_count': 12, 'curve_counts': [12, 612, 15654, 389892, 9756652, 244100334, 6103493772, 152588569092, 3814700259414, 95367429346852], 'curve_counts_str': '12 612 15654 389892 9756652 244100334 6103493772 152588569092 3814700259414 95367429346852 ', 'curves': ['y^2=(3*a+2)*x^6+2*a*x^5+(4*a+2)*x^4+x^3+(4*a+3)*x^2+4*x+4*a+4', 'y^2=2*x^6+(4*a+3)*x^5+(4*a+4)*x^4+2*a*x^3+(a+4)*x^2+(3*a+4)*x+a+4', 'y^2=3*a*x^6+(a+4)*x^5+(3*a+1)*x^4+(4*a+4)*x^3+(4*a+1)*x^2+(a+2)*x+2*a+4'], '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, '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': ['4.0.17984.1'], 'geometric_splitting_field': '4.0.17984.1', 'geometric_splitting_polynomials': [[23, -6, 9, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 3, 'label': '2.25.ao_dn', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.17984.1'], 'p': 5, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 23, 1, 2]], 'poly': [1, -14, 91, -350, 625], 'poly_str': '1 -14 91 -350 625 ', 'primitive_models': [], 'principal_polarization_count': 3, 'q': 25, 'real_poly': [1, -14, 41], 'simple_distinct': ['2.25.ao_dn'], 'simple_factors': ['2.25.ao_dnA'], 'simple_multiplicities': [1], 'size': 3, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.17984.1', 'splitting_polynomials': [[23, -6, 9, -2, 1]], 'twist_count': 2, 'twists': [['2.25.o_dn', '2.625.ao_akj', 2]], 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 281}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.25.ao_dn', 'extension_degree': 1, 'extension_label': '2.25.ao_dn', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.17984.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.25.ao_dn', 'galois_group': '4T3', 'places': [['2/5', '8/5', '24/5', '1/5'], ['4', '1', '0', '0']]}