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{'Nk2': 22500, 'analytic_conductor': 44.91585113697022, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5625, 1, [4376, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 1, 1]], [7, [2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660930553, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5625.2.a.b', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '1875.2.a.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+(-1+\\beta )q^{4}-2q^{7}+(-1+\\cdots)q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5625.2.a', 'trace_display': [-1, 0, 0, -4], 'trace_hash': 2136018139569128620, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.840', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.053', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.216', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.105', 'prec': 17}, 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'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.6180339887498949, 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660930553, 'label': '5625.2.a.b.1.2', 'level': 5625, 'weight': 2}
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{'AL_dims': [[[[3, -1], [5, -1]], 54, 9], [[[3, 1], [5, 1]], 36, 5], [[[3, 1], [5, -1]], 44, 4], [[[3, -1], [5, 1]], 58, 14]], 'ALdims': [36, 44, 58, 54], 'Nk2': 22500, 'analytic_conductor': 44.91585113697022, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5625, 1, [4376, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 691, 'dim': 192, 'eis_dim': 119, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33560057, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 24], 'label': '5625.2.a', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 810, 'mf_new_dim': 208, 'num_forms': 32, 'plus_dim': 90, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 1500, 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mf_twists_cc • Show schema
Hide schema
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id: 33991251
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660930553, 'source_is_minimal': False, 'source_label': '5625.2.a.b.1.2', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660930553, 'target_is_minimal': False, 'target_label': '5625.2.a.b.1.2', 'target_level': 5625, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 33991252
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660930553, 'source_is_minimal': False, 'source_label': '5625.2.a.b.1.2', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288297299, 'target_is_minimal': True, 'target_label': '1875.2.a.c.1.1', 'target_level': 1875, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33991253
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660930553, 'source_is_minimal': False, 'source_label': '5625.2.a.b.1.2', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797783033, 'target_is_minimal': False, 'target_label': '5625.2.a.g.1.1', 'target_level': 5625, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 33991254
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660930553, 'source_is_minimal': False, 'source_label': '5625.2.a.b.1.2', 'source_level': 5625, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753033043, 'target_is_minimal': False, 'target_label': '1875.2.b.a.1249.2', 'target_level': 1875, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33991255
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660930553, 'source_is_minimal': False, 'source_label': '5625.2.a.b.1.2', 'source_level': 5625, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 68753033043, 'target_is_minimal': False, 'target_label': '1875.2.b.a.1249.3', 'target_level': 1875, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 33991256
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660930553, 'source_is_minimal': False, 'source_label': '5625.2.a.b.1.2', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660926803, 'target_is_minimal': True, 'target_label': '1875.2.a.b.1.2', 'target_level': 1875, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3952300
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 2}
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id: 3952301
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599660930553, 'p': 3}
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id: 3952302
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599660930553, 'p': 5}
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id: 3952303
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503599660930553, 'p': 7}
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id: 3952304
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 4503599660930553, 'p': 11}
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id: 3952305
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503599660930553, 'p': 13}
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id: 3952306
{'charpoly_factorization': [[[-1, -4, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 17}
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id: 3952307
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 19}
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id: 3952308
{'charpoly_factorization': [[[41, 13, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 23}
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id: 3952309
{'charpoly_factorization': [[[5, -5, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 29}
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id: 3952310
{'charpoly_factorization': [[[-41, -4, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 31}
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id: 3952311
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503599660930553, 'p': 37}
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id: 3952312
{'charpoly_factorization': [[[109, -21, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 41}
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id: 3952313
{'charpoly_factorization': [[[71, 17, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 43}
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id: 3952314
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 47}
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id: 3952315
{'charpoly_factorization': [[[76, 18, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 53}
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id: 3952316
{'charpoly_factorization': [[[-55, -10, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 59}
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id: 3952317
{'charpoly_factorization': [[[-41, -4, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 61}
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id: 3952318
{'charpoly_factorization': [[[-121, 4, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 67}
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id: 3952319
{'charpoly_factorization': [[[-11, 9, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 71}
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id: 3952320
{'charpoly_factorization': [[[36, -18, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 73}
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id: 3952321
{'charpoly_factorization': [[[145, 25, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 79}
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id: 3952322
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 4503599660930553, 'p': 83}
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id: 3952323
{'charpoly_factorization': [[[-125, 0, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 89}
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id: 3952324
{'charpoly_factorization': [[[-11, -1, 1], 1]], 'hecke_orbit_code': 4503599660930553, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '5625.2.a.b', 'level': 5625, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67709000
{'hecke_orbit_code': 4503599660930553, 'n': 1, 'trace_an': 2}
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id: 67709001
{'hecke_orbit_code': 4503599660930553, 'n': 2, 'trace_an': -1}
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id: 67709002
{'hecke_orbit_code': 4503599660930553, 'n': 3, 'trace_an': 0}
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id: 67709003
{'hecke_orbit_code': 4503599660930553, 'n': 4, 'trace_an': -1}
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id: 67709004
{'hecke_orbit_code': 4503599660930553, 'n': 5, 'trace_an': 0}
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id: 67709005
{'hecke_orbit_code': 4503599660930553, 'n': 6, 'trace_an': 0}
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id: 67709006
{'hecke_orbit_code': 4503599660930553, 'n': 7, 'trace_an': -4}
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id: 67709007
{'hecke_orbit_code': 4503599660930553, 'n': 8, 'trace_an': 0}
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id: 67709008
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