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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, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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, [0, 1]], [11, [2, 1]], [13, [-4, 1]], [17, [0, 1]], [23, [-8, 1]], [53, [-2, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090454886, 'hecke_ring_generator_nbound': 1, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8550.2.a.y', 'level': 8550, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '342.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{8}-2q^{11}+4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/8550/y'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8550.2.a', 'trace_display': [1, 0, 0, 0], 'trace_hash': 1491851182967773557, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.992', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'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_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': 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, 0, 0, 6, 0, 12, -12, 0, 12, 0, 0, 141, 0, 0, -2, -22, 0, 0, -4, 0, 28, -4, 0, 6, 4, 0, 143, 0, 0, -4, 4, 0, 0, 68, 0, -12, -22, 0, 1, 28, 0, 4, 0, 0, -10, -64, 0, 0, 24, 0, -4, 42, 0, -32, 6, 0, 16, 0, 0, 18, 17, 0, 0, -22, 0, 0, -12, 0, 20, -36, 0, 2, 0, 0, -2, -2, 0, 0, -18, 0, 2, -30, 0, 107, 2, 0, 12, 0, 0, -36, 1, 0, 0, 20, 0, 0, 42, 0, -22, -20, 0, -40, 0, 0, 48, -64, 0, 0, 6, 0, 34, 14, 0, 32, 3, 0, 40, 0, 0, -26, -32, 0, 0, 6, 0, -12, 6, 0, 68, 48, 0, 111, 0, 0, 12, 22, 0, 0, -12, 0, -22, 52, 0, -18, -50, 0, 12, 0, 0, -20, 0, 0, 0, -18, 0, -42, -18, 0, 141, 46, 0, -18, 0, 0, 2, -40, 0, 0, 76, 0, -2, -40, 0, 36, -22, 0, 58, 0, 0, -76, 32, 0, 0, 184, 0, 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'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48546313
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090454886, 'source_is_minimal': False, 'source_label': '8550.2.a.y.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090454886, 'target_is_minimal': False, 'target_label': '8550.2.a.y.1.1', 'target_level': 8550, 'twist_class_label': '342.2.a.a.1.1', 'twist_class_level': 342, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48546314
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090454886, 'source_is_minimal': False, 'source_label': '8550.2.a.y.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052526950, 'target_is_minimal': False, 'target_label': '8550.2.a.i.1.1', 'target_level': 8550, 'twist_class_label': '342.2.a.a.1.1', 'twist_class_level': 342, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48546315
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090454886, 'source_is_minimal': False, 'source_label': '8550.2.a.y.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554774, 'target_is_minimal': True, 'target_label': '342.2.a.a.1.1', 'target_level': 342, 'twist_class_label': '342.2.a.a.1.1', 'twist_class_level': 342, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48546316
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090454886, 'source_is_minimal': False, 'source_label': '8550.2.a.y.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797777750, 'target_is_minimal': True, 'target_label': '342.2.a.g.1.1', 'target_level': 342, 'twist_class_label': '342.2.a.a.1.1', 'twist_class_level': 342, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48546317
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090454886, 'source_is_minimal': False, 'source_label': '8550.2.a.y.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170409648, 'target_is_minimal': False, 'target_label': '2736.2.a.f.1.1', 'target_level': 2736, 'twist_class_label': '342.2.a.a.1.1', 'twist_class_level': 342, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48546318
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090454886, 'source_is_minimal': False, 'source_label': '8550.2.a.y.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698855600, 'target_is_minimal': False, 'target_label': '2736.2.a.r.1.1', 'target_level': 2736, 'twist_class_label': '342.2.a.a.1.1', 'twist_class_level': 342, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48546319
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090454886, 'source_is_minimal': False, 'source_label': '8550.2.a.y.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816747874, 'target_is_minimal': False, 'target_label': '6498.2.a.o.1.1', 'target_level': 6498, 'twist_class_label': '342.2.a.a.1.1', 'twist_class_level': 342, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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id: 48546320
{'conductor': 285, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090454886, 'source_is_minimal': False, 'source_label': '8550.2.a.y.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052524898, 'target_is_minimal': False, 'target_label': '6498.2.a.i.1.1', 'target_level': 6498, 'twist_class_label': '342.2.a.a.1.1', 'twist_class_level': 342, 'twisting_char_label': '285.284', 'twisting_conrey_index': 284, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4786000
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 2}
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id: 4786001
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 3}
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id: 4786002
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 5}
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id: 4786003
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 7}
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id: 4786004
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 11}
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id: 4786005
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 13}
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id: 4786006
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 17}
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id: 4786007
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 19}
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id: 4786008
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 23}
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id: 4786009
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 29}
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id: 4786010
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 31}
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id: 4786011
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 37}
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id: 4786012
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 41}
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id: 4786013
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 43}
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id: 4786014
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 47}
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id: 4786015
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 53}
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id: 4786016
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 59}
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id: 4786017
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 61}
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id: 4786018
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 67}
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id: 4786019
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 71}
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id: 4786020
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 73}
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id: 4786021
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 79}
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id: 4786022
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 83}
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id: 4786023
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 89}
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id: 4786024
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 108086391090454886, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '8550.2.a.y', 'level': 8550, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66582037
{'hecke_orbit_code': 108086391090454886, 'n': 1, 'trace_an': 1}
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id: 66582038
{'hecke_orbit_code': 108086391090454886, 'n': 2, 'trace_an': 1}
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id: 66582039
{'hecke_orbit_code': 108086391090454886, 'n': 3, 'trace_an': 0}
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id: 66582040
{'hecke_orbit_code': 108086391090454886, 'n': 4, 'trace_an': 1}
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id: 66582041
{'hecke_orbit_code': 108086391090454886, 'n': 5, 'trace_an': 0}
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id: 66582042
{'hecke_orbit_code': 108086391090454886, 'n': 6, 'trace_an': 0}
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id: 66582043
{'hecke_orbit_code': 108086391090454886, 'n': 7, 'trace_an': 0}
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id: 66582044
{'hecke_orbit_code': 108086391090454886, 'n': 8, 'trace_an': 1}
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id: 66582045
{'hecke_orbit_code': 108086391090454886, 'n': 9, 'trace_an': 0}
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id: 66582046
{'hecke_orbit_code': 108086391090454886, 'n': 10, 'trace_an': 0}
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id: 66582047
{'hecke_orbit_code': 108086391090454886, 'n': 11, 'trace_an': -2}
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id: 66582048
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