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av_fq_isog • Show schema
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{'abvar_count': 2755, 'abvar_counts': [2755, 2730205, 4737170155, 7995899509605, 13419195193750000, 22564196278680584005, 37929142825610305401955, 63759030388920630320850405, 107178933073082282042909580355, 180167782965483875237718100000000], 'abvar_counts_str': '2755 2730205 4737170155 7995899509605 13419195193750000 22564196278680584005 37929142825610305401955 63759030388920630320850405 107178933073082282042909580355 180167782965483875237718100000000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.761697326518416, 0.861796775820454], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 63, 'curve_counts': [63, 1623, 68733, 2829643, 115826298, 4750252863, 194753840673, 7984925163283, 327381940825443, 13422659310827598], 'curve_counts_str': '63 1623 68733 2829643 115826298 4750252863 194753840673 7984925163283 327381940825443 13422659310827598 ', 'curves': ['y^2=5*x^6+17*x^5+33*x^4+34*x^3+25*x^2+8*x+26', 'y^2=35*x^6+37*x^5+7*x^4+32*x^3+3*x^2+9*x+1', 'y^2=40*x^6+32*x^5+14*x^4+10*x^3+x^2+19*x+2', 'y^2=5*x^6+25*x^5+30*x^4+11*x^3+8*x^2+19*x+9'], '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': 1, 'g': 2, 'galois_groups': ['4T1'], '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': ['4T1'], 'geometric_number_fields': ['4.0.55125.1'], 'geometric_splitting_field': '4.0.55125.1', 'geometric_splitting_polynomials': [[151, -26, 26, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.41.v_hj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.55125.1'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 2], [1, 3, 1, 2]], 'poly': [1, 21, 191, 861, 1681], 'poly_str': '1 21 191 861 1681 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 41, 'real_poly': [1, 21, 109], 'simple_distinct': ['2.41.v_hj'], 'simple_factors': ['2.41.v_hjA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.55125.1', 'splitting_polynomials': [[151, -26, 26, -1, 1]], 'twist_count': 2, 'twists': [['2.41.av_hj', '2.1681.ach_flp', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 4, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2205, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.41.v_hj', 'extension_degree': 1, 'extension_label': '2.41.v_hj', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.55125.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.41.v_hj', 'galois_group': '4T1', 'places': [['29', '1', '0', '0'], ['1', '1', '0', '0'], ['1256/41', '793/41', '60/41', '31/41'], ['602/41', '75/41', '11/41', '5/41']]}
