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av_fq_isog • Show schema
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{'abvar_count': 1369, 'abvar_counts': [1369, 1874161, 2565730516, 3522749856201, 4808584363053889, 6582973080733626256, 9012061296012942155881, 12337485620891826877655625, 16890053810563269214559552884, 23122483576606375374478318024321], 'abvar_counts_str': '1369 1874161 2565730516 3522749856201 4808584363053889 6582973080733626256 9012061296012942155881 12337485620891826877655625 16890053810563269214559552884 23122483576606375374478318024321 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.247849192060749, 0.752150807939251], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 38, 'curve_counts': [38, 1368, 50654, 1879636, 69343958, 2565734622, 94931877134, 3512471968228, 129961739795078, 4808584353689928], 'curve_counts_str': '38 1368 50654 1879636 69343958 2565734622 94931877134 3512471968228 129961739795078 4808584353689928 ', 'curves': ['y^2=11*x^6+4*x^5+24*x^4+18*x^3+35*x^2+14*x+30', 'y^2=22*x^6+8*x^5+11*x^4+36*x^3+33*x^2+28*x+23', 'y^2=23*x^6+27*x^5+35*x^4+8*x^3+9*x^2+x+27', 'y^2=20*x^6+13*x^5+7*x^4+23*x^3+20*x^2+14*x+16', 'y^2=11*x^6+10*x^5+13*x^4+30*x^3+11*x^2+3*x+23', 'y^2=5*x^6+4*x^5+19*x^4+10*x^3+30*x^2+7*x+7', 'y^2=24*x^6+32*x^5+26*x^4+34*x^3+8*x^2+35*x+33', 'y^2=11*x^6+27*x^5+15*x^4+31*x^3+16*x^2+33*x+29', 'y^2=27*x^6+12*x^5+x^4+3*x^3+13*x^2+18*x+30', 'y^2=17*x^6+24*x^5+2*x^4+6*x^3+26*x^2+36*x+23', 'y^2=31*x^6+29*x^5+31*x^4+12*x^3+26*x^2+32*x+7', 'y^2=25*x^6+21*x^5+25*x^4+24*x^3+15*x^2+27*x+14', 'y^2=35*x^6+33*x^5+32*x^4+27*x^3+25*x^2+11*x+28', 'y^2=29*x^6+27*x^5+34*x^4+30*x^3+18*x^2+10*x+26', 'y^2=4*x^6+19*x^5+2*x^4+20*x^3+21*x^2+34*x+18', 'y^2=8*x^6+x^5+4*x^4+3*x^3+5*x^2+31*x+36', 'y^2=31*x^6+3*x^5+25*x^4+7*x^3+12*x^2+27*x+17', 'y^2=25*x^6+6*x^5+13*x^4+14*x^3+24*x^2+17*x+34', 'y^2=13*x^6+36*x^5+x^4+11*x^3+27*x^2+9*x+28', 'y^2=26*x^6+35*x^5+2*x^4+22*x^3+17*x^2+18*x+19', 'y^2=28*x^6+36*x^5+33*x^4+36*x^3+24*x^2+12*x+29', 'y^2=x^6+x^5+35*x^4+31*x^3+15*x^2+18*x+5', 'y^2=2*x^6+2*x^5+33*x^4+25*x^3+30*x^2+36*x+10', 'y^2=24*x^6+36*x^5+8*x^4+27*x^3+12*x^2+7*x+7', 'y^2=31*x^6+3*x^5+12*x^4+30*x^3+27*x^2+30*x+12', 'y^2=25*x^6+6*x^5+24*x^4+23*x^3+17*x^2+23*x+24', 'y^2=5*x^6+8*x^5+34*x^4+5*x^3+20*x^2+2*x+4', 'y^2=21*x^6+13*x^5+11*x^4+31*x^3+22*x^2+15*x+20', 'y^2=3*x^6+18*x^5+8*x^4+32*x^3+24*x^2+28*x+16', 'y^2=6*x^6+36*x^5+16*x^4+27*x^3+11*x^2+19*x+32'], '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': 2, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, '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': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.219.1'], 'geometric_splitting_field': '2.0.219.1', 'geometric_splitting_polynomials': [[55, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 30, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 30, 'label': '2.37.a_ab', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.767376.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 11, 1, 16], [1, 11, 3, 16], [1, 37, 1, 2]], 'poly': [1, 0, -1, 0, 1369], 'poly_str': '1 0 -1 0 1369 ', 'primitive_models': [], 'principal_polarization_count': 40, 'q': 37, 'real_poly': [1, 0, -75], 'simple_distinct': ['2.37.a_ab'], 'simple_factors': ['2.37.a_abA'], 'simple_multiplicities': [1], 'singular_primes': ['5,-9*F^2+F-4*V-3'], 'size': 72, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.767376.1', 'splitting_polynomials': [[361, 0, 35, 0, 1]], 'twist_count': 4, 'twists': [['2.37.a_b', '2.1874161.ico_ypmmd', 4], ['2.37.ap_ei', '2.6582952005840035281.bhcynlro_pwcgjxbzuovuvm', 12], ['2.37.p_ei', '2.6582952005840035281.bhcynlro_pwcgjxbzuovuvm', 12]], 'weak_equivalence_count': 2, 'zfv_index': 25, 'zfv_index_factorization': [[5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 64, 'zfv_plus_index': 5, 'zfv_plus_index_factorization': [[5, 1]], 'zfv_plus_norm': 5329, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,-9*F^2+F-4*V-3']}
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av_fq_endalg_factors • Show schema
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id: 24684
{'base_label': '2.37.a_ab', 'extension_degree': 1, 'extension_label': '2.37.a_ab', 'multiplicity': 1}
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id: 24685
{'base_label': '2.37.a_ab', 'extension_degree': 2, 'extension_label': '1.1369.ab', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.767376.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.37.a_ab', 'galois_group': '4T2', 'places': [['30', '1', '0', '0'], ['7', '1', '0', '0'], ['29', '1', '0', '0'], ['8', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.219.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1369.ab', 'galois_group': '2T1', 'places': [['29', '1'], ['7', '1']]}
