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mf_newforms • Show schema
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{'Nk2': 11160, 'analytic_conductor': 22.278262163937228, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2790, 2, [2171, 1117, 1801], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 559, 'conrey_indexes': [559], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 0, 1]], [11, [-5, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021803956210406, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2790.2.d.g', 'level': 2790, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.d.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-iq^{2}-q^{4}+(1+2i)q^{5}+iq^{7}+iq^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2790.2.d', 'trace_display': [0, 0, 2, 0], 'trace_hash': 538010957094828912, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.920', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.753', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '163.295', 'prec': 24}], 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 0], [-1, 0], [1, 2], [0, 0], [0, 1], [0, 1], [0, 0], [2, -1], [5, 0], [0, 0], [0, 4], [1, 0], [0, 0], [1, 0], [0, 0], [0, 0], [5, 0], [-1, -2], [0, 0], [0, -5], [0, -9], [0, 0], [-3, 4], [4, 0], [0, 0], [0, -1], [-2, 0], [0, 0], [1, 0], [0, -1], [0, 0], [0, 0], [-2, 1], [0, 0], [0, 8], [0, -5], [0, 0], [-2, 1], [-6, 0], [0, 0], [0, -1], [-5, 0], [0, 0], [-9, 0], [0, 12], [0, 0], [6, 0], [4, 3], [0, 0], [0, -4], [0, -13], [0, 0], [5, 10], [-1, 0], [0, 0], [0, 2], [10, 0], [0, 0], [-14, 0], [0, -1], [0, 0], [-1, 0], [-8, 4], [0, 0], [0, 14], [0, 0], [0, 0], [1, 2], [9, 0], [0, 0], [0, 9], [8, 0], [0, 0], [-5, 0], [0, 5], [0, 0], [-5, 0], [1, 2], [0, 0], [0, 6], [0, 6], [0, 0], [0, 0], [-1, 0], [0, 0], [0, 5], [3, 0], [0, 0], [-4, 0], [0, 9], [0, 0], [12, 0], [5, 10], [0, 0], [0, -18], [0, -6], [0, 0], [3, -4]], 'ap': [[0, -1], [0, 0], [1, 2], [0, 1], [5, 0], [0, 4], [0, 0], [5, 0], [0, -9], [-2, 0], [1, 0], [0, 8], [-6, 0], [0, -1], [0, 12], [0, -13], [10, 0], [-14, 0], [0, 14], [9, 0], [0, 9], [-5, 0], [0, 6], [3, 0], [0, -18], [7, 0], [0, -8], [0, -11], [2, 0], [0, 13], [0, 20], [6, 0], [0, -2], [-16, 0], [7, 0], [0, 0], [0, 13], [0, -4], [0, 9], [0, -6], [-16, 0], [17, 0], [-8, 0], [0, 22], [0, 10], [11, 0], [-13, 0], [0, -16], [0, -15], [19, 0], [0, -1], [-6, 0], [24, 0], [28, 0], [0, 7], [0, -8], [-22, 0], [-25, 0], [0, -2], [-12, 0], [0, -26], [0, -14], [0, -8], [8, 0], [0, -6], [0, -34], [-24, 0], [0, 2], [0, 18], [-4, 0], [0, -4], [-9, 0], [0, 18], [0, -1], [11, 0], [0, 12], [-16, 0], [0, -3], [25, 0], [28, 0], [30, 0], [-26, 0], [32, 0], [0, 11], [-20, 0], [0, 13], [6, 0], [0, -22], [-36, 0], [0, -30], [0, -20], [-21, 0], [0, 24], [-15, 0], [-6, 0], [0, 22], [-20, 0], [36, 0], [0, -17], [0, 0], [0, 16], [0, -7], [0, -44], [-21, 0], [-10, 0], [0, -2], [0, 6], [0, -10], [-39, 0], [-12, 0], [0, 13], [0, -4], [0, -9], [-16, 0], [31, 0], [2, 0], [0, 5], [0, -5], [0, 18], [30, 0], [28, 0], [0, -38], [0, -51], [0, 3], [27, 0], [-29, 0], [17, 0], [-30, 0], [0, 1], [0, 14], [-10, 0], [0, -43], [18, 0], [0, -20], [-15, 0], [35, 0], [0, -27], [0, -23], [0, 2], [-5, 0], [55, 0], [2, 0], [0, 2], [0, 46], [-29, 0], [-21, 0], [0, -21], [0, -10], [0, 0], [0, -31], [0, -6], [-6, 0], [0, -23], [0, -8], [0, 4], [-18, 0], [8, 0], [-11, 0], [0, -54], [48, 0], [0, 10], [0, -52], [0, -20], [-2, 0], [0, -22], [0, -52], [-3, 0], [0, -18], [-8, 0], [0, 3], [12, 0], [-29, 0], [8, 0], [0, -58], [4, 0], [13, 0], [44, 0], [-21, 0], [0, -7], [21, 0], [0, -24], [23, 0], [0, -6], [0, -8], [0, 18], [-24, 0], [0, -27], [0, 8], [-10, 0], [-9, 0], [0, -19], [0, 45], [48, 0], [36, 0], [0, -12], [0, -10], [26, 0], [0, 39], [0, 45], [0, -30], [41, 0], [-25, 0], [0, -43], [35, 0], [-6, 0], [0, -2], [66, 0], [0, -16], [-18, 0], [4, 0], [0, 57], [-48, 0], [0, 12], [0, 27], [24, 0], [3, 0], [0, 16], [-30, 0], [0, 24], [0, -54], [-29, 0], [70, 0], [20, 0], [0, 23], [0, 1], [-9, 0], [0, -42], [-12, 0], [0, 64], [-42, 0], [0, -30], [-20, 0], [54, 0], [45, 0], [0, -44], [0, -33], [3, 0], [0, -34], [21, 0], [58, 0], [0, 28], [-2, 0], [0, -58], [-50, 0], [0, 12], [61, 0], [0, -12], [67, 0], [-6, 0], [0, -44], [0, 1], [40, 0], [0, 3], [-47, 0], [0, 12], [24, 0], [-38, 0], [0, -7], [0, 12], [0, 62], [0, -35], [0, -10], [-33, 0], [0, 35], [0, 16], [3, 0], [5, 0], [-2, 0], [0, 18], [0, 18], [48, 0], [0, 68], [0, -51], [47, 0], [0, -28], [0, 32], [0, -57], [-46, 0], [20, 0], [13, 0], [0, 20], [-68, 0], [0, 84], [12, 0], [0, -52], [-14, 0], [0, -31], [0, -54], [24, 0], [18, 0], [-27, 0], [0, 45], [0, -28], [-60, 0], [0, 64], [-18, 0], [56, 0], [0, 24], [21, 0], [0, 87], [0, 22], [0, 3], [40, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 27021803956210406, 'hecke_ring_character_values': [[2171, [1, 0]], [1117, [-1, 0]], [1801, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2790.2.d.g', 'level': 2790, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 11160, 'analytic_conductor': 22.278262163937228, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2790, 2, [2171, 1117, 1801], [2, 1, 2]], 'conrey_index': 559, 'cusp_dim': 560, 'dim': 76, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 206191987430, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 12, 16], 'label': '2790.2.d', 'level': 2790, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 592, 'mf_new_dim': 76, 'num_forms': 15, 'prim_orbit_index': 2, 'relative_dim': 76, 'sturm_bound': 1152, 'trace_bound': 11, 'trace_display': [0, 0, -4, 0], 'traces': [76, 0, 0, -76, -4, 0, 0, 0, 0, 0, 12, 0, 0, 8, 0, 76, 0, 0, 16, 4, 0, 0, 0, 0, -12, -12, 0, 0, -4, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, -16, 0, 0, -12, 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0, 0, 0, 0, -72, -392, 0, 0, -8, 0, 84, 0, 0, 160, 112, 0, 0, 0, 0, -244, -64, 0, 0, 284, 0, 472, 0, 0, -296, -304, 0, 0, 0, 0, 40, 232, 0, 0, 28, 0, -48, 0, 0, 664, 360, 0, 0, 0, 0, 40, 168, 0, 0, 124, 0, 16, 0, 0, 0, 328, 0, 0, 0, 0, 264, -560, 0, 0, 280, 0, -180, 0, 0, 16, 44], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 998834
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2790.2.d.g', 'source_level': 2790, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '930.2.d.b', 'target_level': 930, 'twist_class_label': '930.2.d.b', 'twist_class_level': 930, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 998835
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2790.2.d.g', 'source_level': 2790, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '930.2.d.b', 'target_level': 930, 'twist_class_label': '930.2.d.b', 'twist_class_level': 930, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 998836
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2790.2.d.g', 'source_level': 2790, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2790.2.d.g', 'target_level': 2790, 'twist_class_label': '930.2.d.b', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 998837
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2790.2.d.g', 'source_level': 2790, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2790.2.d.g', 'target_level': 2790, 'twist_class_label': '930.2.d.b', 'twist_class_level': 930, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 998838
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2790.2.d.g', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4650.2.a.f', 'target_level': 4650, 'twist_class_label': '930.2.d.b', 'twist_class_level': 930, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 998839
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2790.2.d.g', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '4650.2.a.bq', 'target_level': 4650, 'twist_class_label': '930.2.d.b', 'twist_class_level': 930, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2802975
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 2}
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id: 2802976
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 3}
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id: 2802977
{'charpoly_factorization': [[[5, -2, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 5}
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id: 2802978
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 7}
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id: 2802979
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 11}
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id: 2802980
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 13}
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id: 2802981
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 17}
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id: 2802982
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 19}
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id: 2802983
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 23}
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id: 2802984
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 29}
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id: 2802985
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 31}
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id: 2802986
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 37}
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id: 2802987
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 41}
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id: 2802988
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 43}
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id: 2802989
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 47}
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id: 2802990
{'charpoly_factorization': [[[169, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 53}
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id: 2802991
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 59}
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id: 2802992
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 61}
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id: 2802993
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 67}
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id: 2802994
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 71}
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id: 2802995
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 73}
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id: 2802996
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 79}
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id: 2802997
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 83}
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id: 2802998
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 27021803956210406, 'p': 89}
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id: 2802999
{'charpoly_factorization': [[[324, 0, 1], 1]], 'hecke_orbit_code': 27021803956210406, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 7, 'label': '2790.2.d.g', 'level': 2790, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 183118000
{'hecke_orbit_code': 27021803956210406, 'n': 1, 'trace_an': 2}
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id: 183118001
{'hecke_orbit_code': 27021803956210406, 'n': 2, 'trace_an': 0}
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id: 183118002
{'hecke_orbit_code': 27021803956210406, 'n': 3, 'trace_an': 0}
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id: 183118003
{'hecke_orbit_code': 27021803956210406, 'n': 4, 'trace_an': -2}
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id: 183118004
{'hecke_orbit_code': 27021803956210406, 'n': 5, 'trace_an': 2}
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id: 183118005
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id: 183118998
{'hecke_orbit_code': 27021803956210406, 'n': 999, 'trace_an': 0}
-
id: 183118999
{'hecke_orbit_code': 27021803956210406, 'n': 1000, 'trace_an': 4}