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av_fq_isog • Show schema
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{'abvar_count': 1768, 'abvar_counts': [1768, 3125824, 6321266536, 11667525682176, 21611482301574568, 39958410619153439296, 73885357344433032427432, 136613971517738106807926784, 252599333573498992088624495464, 467056167271270786926772064386624], 'abvar_counts_str': '1768 3125824 6321266536 11667525682176 21611482301574568 39958410619153439296 73885357344433032427432 136613971517738106807926784 252599333573498992088624495464 467056167271270786926772064386624 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0487319457574861, 0.951268054242514], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 44, 'curve_counts': [44, 1686, 79508, 3412750, 147008444, 6321170022, 271818611108, 11688195639454, 502592611936844, 21611482289864886], 'curve_counts_str': '44 1686 79508 3412750 147008444 6321170022 271818611108 11688195639454 502592611936844 21611482289864886 ', 'curves': ['y^2=11*x^6+41*x^5+42*x^4+33*x^2+17*x+5', 'y^2=7*x^6+4*x^5+11*x^4+21*x^2+27*x+30', 'y^2=7*x^6+13*x^5+4*x^4+41*x^3+14*x^2+25*x+25', 'y^2=39*x^6+41*x^5+35*x^4+13*x^3+37*x^2+16*x+24', 'y^2=21*x^6+6*x^5+19*x^4+18*x^2+2*x+16', 'y^2=35*x^6+15*x^5+8*x^4+2*x^3+37*x^2+11*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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.168.1'], 'geometric_splitting_field': '2.0.168.1', 'geometric_splitting_polynomials': [[42, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 6, 'label': '2.43.a_ade', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.112896.7'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -82, 0, 1849], 'poly_str': '1 0 -82 0 1849 ', 'primitive_models': [], 'q': 43, 'real_poly': [1, 0, -168], 'simple_distinct': ['2.43.a_ade'], 'simple_factors': ['2.43.a_adeA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-5*F+2*V+3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.112896.7', 'splitting_polynomials': [[441, 0, 0, 0, 1]], 'twist_count': 6, 'twists': [['2.43.ae_dm', '2.3418801.aiyu_bjaaeo', 4], ['2.43.a_de', '2.3418801.aiyu_bjaaeo', 4], ['2.43.e_dm', '2.3418801.aiyu_bjaaeo', 4], ['2.43.ac_abn', '2.39959630797262576401.voeimxw_bkrnmzdxvahyngg', 12], ['2.43.c_abn', '2.39959630797262576401.voeimxw_bkrnmzdxvahyngg', 12]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 16, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-5*F+2*V+3']}
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av_fq_endalg_factors • Show schema
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id: 31622
{'base_label': '2.43.a_ade', 'extension_degree': 1, 'extension_label': '2.43.a_ade', 'multiplicity': 1}
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id: 31623
{'base_label': '2.43.a_ade', 'extension_degree': 2, 'extension_label': '1.1849.ade', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.112896.7', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.43.a_ade', 'galois_group': '4T2', 'places': [['21', '1', '42', '0'], ['22', '1', '1', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.168.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1849.ade', 'galois_group': '2T1', 'places': [['1', '1'], ['42', '1']]}