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{'Nk2': 34200, 'analytic_conductor': 68.27209372819473, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [19, 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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 788, 'field_disc_factorization': [[2, 2], [197, 1]], 'field_poly': [-3, -7, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [10, -6, -2, 1]], [11, [27, -5, -5, 1]], [13, [6, -8, -4, 1]], [17, [10, -6, -2, 1]], [23, [-81, -45, 1, 1]], [53, [-117, -73, -5, 1]]], 'hecke_orbit': 72, 'hecke_orbit_code': 319755573576868198, 'hecke_ring_generator_nbound': 7, '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': True, 'label': '8550.2.a.ct', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '8550.2.a.cc', 'nf_label': '3.3.788.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+(1-\\beta _{1})q^{7}+q^{8}+(1+\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8550.2.a', 'trace_display': [3, 0, 0, 2], 'trace_hash': 1970231320906208475, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.4764520397307907, 'hecke_orbit': 72, 'hecke_orbit_code': 319755573576868198, 'label': '8550.2.a.ct.1.2', 'level': 8550, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 9, 4], [[[2, -1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, 1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, -1], [5, -1], [19, 1]], 10, 6], [[[2, 1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, -1], [19, -1]], 12, 5], [[[2, 1], [3, -1], [5, 1], [19, -1]], 8, 7], [[[2, -1], [3, -1], [5, 1], [19, -1]], 13, 10], [[[2, 1], [3, -1], [5, 1], [19, 1]], 12, 8], [[[2, -1], [3, -1], [5, -1], [19, 1]], 13, 7], [[[2, -1], [3, -1], [5, 1], [19, 1]], 8, 7]], 'ALdims': [7, 6, 7, 9, 12, 8, 10, 12, 7, 6, 7, 9, 8, 13, 13, 9], 'Nk2': 34200, 'analytic_conductor': 68.27209372819473, '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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1753, 'dim': 143, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23, 53], 'hecke_orbit_code': 33562982, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], 'label': '8550.2.a', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 1848, 'mf_new_dim': 143, 'num_forms': 76, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 3600, 'trace_bound': 23, 'trace_display': [1, 0, 0, -2], 'traces': [143, 1, 0, 143, 0, 0, -2, 1, 0, 0, -12, 0, -2, -4, 0, 143, 4, 0, 1, 0, 0, -4, 6, 0, 0, -12, 0, -2, -18, 0, 12, 1, 0, -22, 0, 0, 34, 3, 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-482, 0, 0, 184, 0, -92, -800, 0, 198, 416, 0, -76, 0, 0, -548, 20, 0, 0, 454, 0, 64, -674, 0, -92, -298, 0, -298, 0, 0, 202, -640, 0, 0, 508, 0, 64, 416, 0, -28, 48, 0, -172, 0, 0, -642, -252, 0, 0, -574, 0, 574, -4, 0, 488, 256, 0, -636, 0, 0, 50, -46, 0, 0, -92, 0, 164, 84, 0, -120], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49136603
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 319755573576868198, 'source_is_minimal': True, 'source_label': '8550.2.a.ct.1.2', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 319755573576868198, 'target_is_minimal': True, 'target_label': '8550.2.a.ct.1.2', 'target_level': 8550, 'twist_class_label': '8550.2.a.cc.1.2', 'twist_class_level': 8550, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49136604
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 319755573576868198, 'source_is_minimal': True, 'source_label': '8550.2.a.ct.1.2', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 265712378048422246, 'target_is_minimal': True, 'target_label': '8550.2.a.ch.1.2', 'target_level': 8550, 'twist_class_label': '8550.2.a.cc.1.2', 'twist_class_level': 8550, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49136605
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 319755573576868198, 'source_is_minimal': True, 'source_label': '8550.2.a.ct.1.2', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 243194379911569766, 'target_is_minimal': True, 'target_label': '8550.2.a.cc.1.2', 'target_level': 8550, 'twist_class_label': '8550.2.a.cc.1.2', 'twist_class_level': 8550, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49136606
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 319755573576868198, 'source_is_minimal': True, 'source_label': '8550.2.a.ct.1.2', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 288230376185274726, 'target_is_minimal': True, 'target_label': '8550.2.a.cm.1.2', 'target_level': 8550, 'twist_class_label': '8550.2.a.cc.1.2', 'twist_class_level': 8550, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4786850
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 319755573576868198, 'p': 2}
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id: 4786851
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 319755573576868198, 'p': 3}
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id: 4786852
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 319755573576868198, 'p': 5}
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id: 4786853
{'charpoly_factorization': [[[10, -6, -2, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 7}
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id: 4786854
{'charpoly_factorization': [[[27, -5, -5, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 11}
-
id: 4786855
{'charpoly_factorization': [[[6, -8, -4, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 13}
-
id: 4786856
{'charpoly_factorization': [[[10, -6, -2, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 17}
-
id: 4786857
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 319755573576868198, 'p': 19}
-
id: 4786858
{'charpoly_factorization': [[[-81, -45, 1, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 23}
-
id: 4786859
{'charpoly_factorization': [[[197, -43, -5, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 29}
-
id: 4786860
{'charpoly_factorization': [[[1, -21, -5, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 31}
-
id: 4786861
{'charpoly_factorization': [[[144, -48, -4, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 37}
-
id: 4786862
{'charpoly_factorization': [[[-4, 24, -10, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 41}
-
id: 4786863
{'charpoly_factorization': [[[-162, -100, -2, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 43}
-
id: 4786864
{'charpoly_factorization': [[[-204, -88, -4, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 47}
-
id: 4786865
{'charpoly_factorization': [[[-117, -73, -5, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 53}
-
id: 4786866
{'charpoly_factorization': [[[50, 28, -12, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 59}
-
id: 4786867
{'charpoly_factorization': [[[275, -81, -1, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 61}
-
id: 4786868
{'charpoly_factorization': [[[845, -143, -9, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 67}
-
id: 4786869
{'charpoly_factorization': [[[354, 2, -16, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 71}
-
id: 4786870
{'charpoly_factorization': [[[243, -9, -15, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 73}
-
id: 4786871
{'charpoly_factorization': [[[-709, -101, 9, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 79}
-
id: 4786872
{'charpoly_factorization': [[[-127, -35, 3, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 83}
-
id: 4786873
{'charpoly_factorization': [[[277, -57, -9, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 89}
-
id: 4786874
{'charpoly_factorization': [[[-270, -54, 6, 1], 1]], 'hecke_orbit_code': 319755573576868198, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 72, 'label': '8550.2.a.ct', 'level': 8550, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 280505000
{'hecke_orbit_code': 319755573576868198, 'n': 1, 'trace_an': 3}
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id: 280505001
{'hecke_orbit_code': 319755573576868198, 'n': 2, 'trace_an': 3}
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id: 280505002
{'hecke_orbit_code': 319755573576868198, 'n': 3, 'trace_an': 0}
-
id: 280505003
{'hecke_orbit_code': 319755573576868198, 'n': 4, 'trace_an': 3}
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id: 280505004
{'hecke_orbit_code': 319755573576868198, 'n': 5, 'trace_an': 0}
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id: 280505005
{'hecke_orbit_code': 319755573576868198, 'n': 6, 'trace_an': 0}
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id: 280505006
{'hecke_orbit_code': 319755573576868198, 'n': 7, 'trace_an': 2}
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id: 280505007
{'hecke_orbit_code': 319755573576868198, 'n': 8, 'trace_an': 3}
-
id: 280505008
{'hecke_orbit_code': 319755573576868198, 'n': 9, 'trace_an': 0}
-
id: 280505009
{'hecke_orbit_code': 319755573576868198, 'n': 10, 'trace_an': 0}
-
id: 280505010
{'hecke_orbit_code': 319755573576868198, 'n': 11, 'trace_an': 5}
-
id: 280505011
{'hecke_orbit_code': 319755573576868198, 'n': 12, 'trace_an': 0}
-
id: 280505012
{'hecke_orbit_code': 319755573576868198, 'n': 13, 'trace_an': 4}
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id: 280505013
{'hecke_orbit_code': 319755573576868198, 'n': 14, 'trace_an': 2}
-
id: 280505014
{'hecke_orbit_code': 319755573576868198, 'n': 15, 'trace_an': 0}
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id: 280505015
{'hecke_orbit_code': 319755573576868198, 'n': 16, 'trace_an': 3}
-
id: 280505016
{'hecke_orbit_code': 319755573576868198, 'n': 17, 'trace_an': 2}
-
id: 280505017
{'hecke_orbit_code': 319755573576868198, 'n': 18, 'trace_an': 0}
-
id: 280505018
{'hecke_orbit_code': 319755573576868198, 'n': 19, 'trace_an': -3}
-
id: 280505019
{'hecke_orbit_code': 319755573576868198, 'n': 20, 'trace_an': 0}
-
id: 280505020
{'hecke_orbit_code': 319755573576868198, 'n': 21, 'trace_an': 0}
-
id: 280505021
{'hecke_orbit_code': 319755573576868198, 'n': 22, 'trace_an': 5}
-
id: 280505022
{'hecke_orbit_code': 319755573576868198, 'n': 23, 'trace_an': -1}
-
id: 280505023
{'hecke_orbit_code': 319755573576868198, 'n': 24, 'trace_an': 0}
-
id: 280505024
{'hecke_orbit_code': 319755573576868198, 'n': 25, 'trace_an': 0}
-
id: 280505025
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