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av_fq_isog • Show schema
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{'abvar_count': 4672, 'abvar_counts': [4672, 28050688, 150370226176, 806277418988544, 4297557896221229632, 22901816648265382297600, 122044964452038132126971968, 650377867387845250999541551104, 3465863666635204928622401928269824, 18469587758931442496658857701293468928], 'abvar_counts_str': '4672 28050688 150370226176 806277418988544 4297557896221229632 22901816648265382297600 122044964452038132126971968 650377867387845250999541551104 3465863666635204928622401928269824 18469587758931442496658857701293468928 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.00989864991722457, 0.656768016749442], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 65, 'curve_counts': [65, 5265, 386534, 28391809, 2073038825, 151332697230, 11047394030465, 806460076481089, 58871585775493622, 4297625826631221825], 'curve_counts_str': '65 5265 386534 28391809 2073038825 151332697230 11047394030465 806460076481089 58871585775493622 4297625826631221825 ', 'curves': ['y^2=12*x^6+x^5+13*x^4+68*x^3+19*x^2+39*x+33', 'y^2=51*x^6+56*x^5+7*x^4+49*x^3+22*x^2+44*x+69', 'y^2=20*x^6+49*x^5+37*x^4+49*x^3+31*x^2+53*x+63', 'y^2=34*x^6+6*x^5+67*x^4+41*x^3+56*x^2+25*x+2', 'y^2=3*x^6+44*x^5+10*x^4+9*x^3+23*x^2+25*x+37', 'y^2=58*x^6+57*x^5+33*x^4+16*x^3+x^2+17*x+46', 'y^2=26*x^6+14*x^5+22*x^4+8*x^3+41*x^2+5*x+29', 'y^2=45*x^6+7*x^5+60*x^4+50*x^3+72*x^2+16*x+16', 'y^2=62*x^6+54*x^5+12*x^4+38*x^3+34*x^2+52*x+53', 'y^2=41*x^6+9*x^5+71*x^4+64*x^3+4*x^2+65*x+6', 'y^2=55*x^6+12*x^5+30*x^4+34*x^3+70*x^2+59*x+19', 'y^2=51*x^6+37*x^5+10*x^4+44*x^3+9*x^2+42*x+63', 'y^2=39*x^6+25*x^5+39*x^4+21*x^3+22*x^2+5*x+13', 'y^2=27*x^6+64*x^5+2*x^4+8*x^3+16*x^2+23*x+2', 'y^2=40*x^6+13*x^5+70*x^4+52*x^3+72*x^2+23*x'], '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': ['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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.211.1'], 'geometric_splitting_field': '2.0.211.1', 'geometric_splitting_polynomials': [[53, -1, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 15, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 15, 'label': '2.73.aj_i', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.400689.1'], 'p': 73, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 13, 1, 6]], 'poly': [1, -9, 8, -657, 5329], 'poly_str': '1 -9 8 -657 5329 ', 'primitive_models': [], 'principal_polarization_count': 15, 'q': 73, 'real_poly': [1, -9, -138], 'simple_distinct': ['2.73.aj_i'], 'simple_factors': ['2.73.aj_iA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-2*V+21'], 'size': 15, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.400689.1', 'splitting_polynomials': [[2809, -53, -52, -1, 1]], 'twist_count': 6, 'twists': [['2.73.j_i', '2.5329.acn_abqm', 2], ['2.73.s_it', '2.389017.adro_fcavu', 3], ['2.73.as_it', '2.151334226289.adizya_eglxizuhy', 6], ['2.73.a_cn', '2.151334226289.adizya_eglxizuhy', 6], ['2.73.j_i', '2.151334226289.adizya_eglxizuhy', 6], ['2.73.a_acn', '2.22902048046490258711521.acseryapke_cwrjdymghctcpqkeg', 12]], 'weak_equivalence_count': 4, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 6, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 64, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-2*V+21']}
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av_fq_endalg_factors • Show schema
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id: 82075
{'base_label': '2.73.aj_i', 'extension_degree': 1, 'extension_label': '2.73.aj_i', 'multiplicity': 1}
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id: 82076
{'base_label': '2.73.aj_i', 'extension_degree': 3, 'extension_label': '1.389017.abvu', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.400689.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.73.aj_i', 'galois_group': '4T2', 'places': [['28', '1', '0', '0'], ['40', '1', '0', '0'], ['36', '1', '0', '0'], ['41', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.211.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.389017.abvu', 'galois_group': '2T1', 'places': [['4', '1'], ['68', '1']]}
