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av_fq_isog • Show schema
{'abvar_count': 1602, 'abvar_counts': [1602, 2566404, 4749995682, 7967770780176, 13422659206408002, 22562458979018645124, 37929227194907147929122, 63758973775802534461440000, 107178930967532051961000462402, 180167780171369494038899289632004], 'abvar_counts_str': '1602 2566404 4749995682 7967770780176 13422659206408002 22562458979018645124 37929227194907147929122 63758973775802534461440000 107178930967532051961000462402 180167780171369494038899289632004 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0352232874772773, 0.964776712522723], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 42, 'curve_counts': [42, 1522, 68922, 2819686, 115856202, 4749887122, 194754273882, 7984918073278, 327381934393962, 13422659102663602], 'curve_counts_str': '42 1522 68922 2819686 115856202 4749887122 194754273882 7984918073278 327381934393962 13422659102663602 ', 'curves': [], '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': 9, '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': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, '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': 0, 'label': '2.41.a_adc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['4.0.256.1'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 17, 1, 6]], 'poly': [1, 0, -80, 0, 1681], 'poly_str': '1 0 -80 0 1681 ', 'primitive_models': [], 'principal_polarization_count': 5, 'q': 41, 'real_poly': [1, 0, -162], 'simple_distinct': ['2.41.a_adc'], 'simple_factors': ['2.41.a_adcA'], 'simple_multiplicities': [1], 'singular_primes': ['3,51*F-26*V+7', '3,60*F-31*V-2'], 'size': 17, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.256.1', 'splitting_polynomials': [[1, 0, 0, 0, 1]], 'twist_count': 16, 'twists': [['2.41.a_dc', '2.2825761.aizs_bgorgw', 4], ['2.41.au_ha', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.as_gg', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.aq_fq', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.ac_c', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.a_as', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.a_s', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.c_c', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.q_fq', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.s_gg', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.u_ha', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.ak_ch', '2.509111094534718962173411120845918138561.bgeiuwmxzcklbjw_qibzyqgborwscofihlbairufhpwg', 24], ['2.41.ai_x', '2.509111094534718962173411120845918138561.bgeiuwmxzcklbjw_qibzyqgborwscofihlbairufhpwg', 24], ['2.41.i_x', '2.509111094534718962173411120845918138561.bgeiuwmxzcklbjw_qibzyqgborwscofihlbairufhpwg', 24], ['2.41.k_ch', '2.509111094534718962173411120845918138561.bgeiuwmxzcklbjw_qibzyqgborwscofihlbairufhpwg', 24]], 'weak_equivalence_count': 9, 'zfv_index': 81, 'zfv_index_factorization': [[3, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 6, 'zfv_plus_index': 9, 'zfv_plus_index_factorization': [[3, 2]], 'zfv_plus_norm': 4, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,51*F-26*V+7', '3,60*F-31*V-2']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.256.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.41.a_adc', 'galois_group': '4T2', 'places': [['14', '1', '0', '0'], ['27', '1', '0', '0'], ['3', '1', '0', '0'], ['38', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1681.adc', 'galois_group': '2T1', 'places': [['32', '1'], ['9', '1']]}
Abelian variety isogeny class data - 2.41.a_adc