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av_fq_isog • Show schema
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{'abvar_count': 320, 'abvar_counts': [320, 79360, 24868160, 7034470400, 2015202913600, 582742357419520, 168345291556485440, 48661227557027840000, 14063025879657793782080, 4064235995989933132940800], 'abvar_counts_str': '320 79360 24868160 7034470400 2015202913600 582742357419520 168345291556485440 48661227557027840000 14063025879657793782080 4064235995989933132940800 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.272573793478024, 0.854807013393459], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 20, 'curve_counts': [20, 274, 5060, 84222, 1419300, 24142546, 410259380, 6975762558, 118587382580, 2015996176914], 'curve_counts_str': '20 274 5060 84222 1419300 24142546 410259380 6975762558 118587382580 2015996176914 ', 'curves': ['y^2=9*x^6+9*x^5+12*x^4+7*x^3+15*x^2+10*x+11', 'y^2=15*x^6+8*x^5+13*x^3+5*x^2+9*x+11', 'y^2=8*x^6+12*x^5+12*x^4+9*x^3+13*x^2+14*x+15', 'y^2=4*x^6+4*x^5+2*x^4+5*x^3+8*x^2+11*x+5', 'y^2=10*x^6+5*x^5+9*x^4+3*x^3+12*x^2+15*x+13', 'y^2=2*x^6+x^5+13*x^4+12*x^3+4*x^2+15*x+3', 'y^2=12*x^6+9*x^5+x^4+12*x^3+12*x^2+12*x+2', 'y^2=2*x^6+15*x^5+12*x^4+13*x^3+11*x^2+2*x+4', 'y^2=16*x^5+3*x^4+8*x^3+16*x^2+16*x+9', 'y^2=11*x^5+5*x^4+12*x^3+16*x^2+6*x+8', 'y^2=16*x^6+13*x^5+15*x^4+15*x^3+2*x^2+6*x+2', 'y^2=12*x^6+7*x^5+13*x^4+12*x^3+5*x^2+3*x+3', 'y^2=16*x^6+14*x^5+16*x^3+8*x^2+5*x+9', 'y^2=x^6+7*x^5+14*x^4+7*x^3+10*x^2+11*x+16', 'y^2=x^6+12*x^5+11*x^4+3*x^3+12*x^2+10*x+16', 'y^2=5*x^5+12*x^4+11*x^3+3*x^2+9*x+11', 'y^2=x^6+6*x^5+5*x^4+2*x^3+16*x^2+14*x+5', 'y^2=16*x^6+11*x^5+3*x^4+14*x^3+13*x^2+9*x+12', 'y^2=16*x^6+x^5+12*x^4+7*x^3+13*x^2+14*x+11', 'y^2=12*x^6+3*x^5+7*x^4+3*x^3+16*x+9', 'y^2=3*x^6+5*x^5+4*x^4+x^3+4*x^2+11*x+1', 'y^2=x^6+3*x^5+x^4+4*x^3+8*x^2+7*x+3', 'y^2=9*x^6+6*x^5+2*x^4+9*x^3+4*x^2+6*x+5', 'y^2=4*x^6+5*x^5+16*x^4+x^3+5*x^2+15*x+6', 'y^2=16*x^6+12*x^5+16*x^4+6*x^3+16*x^2+6', 'y^2=x^6+7*x^5+10*x^4+13*x^3+16*x^2+11*x+3', 'y^2=9*x^5+4*x^4+11*x^3+3*x^2+5*x+4', 'y^2=6*x^5+10*x^4+10*x^3+8*x^2+7*x+4', 'y^2=2*x^6+13*x^5+14*x^4+6*x^3+6*x^2+2*x+3', 'y^2=15*x^6+12*x^5+13*x^4+2*x^3+7*x^2+3*x+8'], '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': 7, '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': ['4.0.53792.1'], 'geometric_splitting_field': '4.0.10496.2', 'geometric_splitting_polynomials': [[14, -4, 6, 0, 1]], 'group_structure_count': 6, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 30, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 30, 'label': '2.17.c_ag', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.53792.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 8], [1, 23, 1, 4]], 'poly': [1, 2, -6, 34, 289], 'poly_str': '1 2 -6 34 289 ', 'primitive_models': [], 'principal_polarization_count': 30, 'q': 17, 'real_poly': [1, 2, -40], 'simple_distinct': ['2.17.c_ag'], 'simple_factors': ['2.17.c_agA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+F+2*V'], 'size': 56, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.10496.2', 'splitting_polynomials': [[14, -4, 6, 0, 1]], 'twist_count': 2, 'twists': [['2.17.ac_ag', '2.289.aq_sk', 2]], 'weak_equivalence_count': 9, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 16, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 512, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+F+2*V']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.17.c_ag', 'extension_degree': 1, 'extension_label': '2.17.c_ag', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.53792.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.c_ag', 'galois_group': '4T3', 'places': [['8', '13', '0', '1'], ['9', '13', '0', '1']]}
