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mf_newforms • Show schema
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{'Nk2': 2960, 'analytic_conductor': 5.908929749574749, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [37, -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': [740, 1, [371, 297, 261], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 286164, 'field_disc_factorization': [[2, 2], [3, 2], [7949, 1]], 'field_poly': [12, -3, -11, -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': [[3, [-2, 24, -8, -3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170407652, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 4, 1, 1, 6], 'Nk2': 2960, 'analytic_conductor': 5.908929749574749, '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': [740, 1, [371, 297, 261], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 109, 'dim': 12, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33555172, 'hecke_orbit_dims': [1, 1, 1, 2, 3, 4], 'label': '740.2.a', 'level': 740, '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, 5, 37], 'level_radical': 370, 'mf_dim': 120, 'mf_new_dim': 12, 'num_forms': 6, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 12, 'sturm_bound': 228, 'trace_bound': 3, 'trace_display': [0, 4, 2, 0], 'traces': [12, 0, 4, 0, 2, 0, 0, 0, 16, 0, -4, 0, 0, 0, -4, 0, 16, 0, 12, 0, 20, 0, 4, 0, 12, 0, 16, 0, 8, 0, 4, 0, 24, 0, 4, 0, 2, 0, 4, 0, 4, 0, 28, 0, 10, 0, 4, 0, 24, 0, 12, 0, -4, 0, 0, 0, -20, 0, -20, 0, 28, 0, -36, 0, -8, 0, 8, 0, -4, 0, -20, 0, 12, 0, 4, 0, -8, 0, -16, 0, 28, 0, 0, 0, -12, 0, -48, 0, -24, 0, 0, 0, 4, 0, -8, 0, 12, 0, -16, 0, 4, 0, -20, 0, 16, 0, 16, 0, -12, 0, 0, 0, 8, 0, -4, 0, 16, 0, -56, 0, 64, 0, -12, 0, 2, 0, -56, 0, -4, 0, -8, 0, 36, 0, -4, 0, -44, 0, -24, 0, -44, 0, -72, 0, 0, 0, -76, 0, 28, 0, -40, 0, 0, 0, 8, 0, 48, 0, -116, 0, -84, 0, 20, 0, -8, 0, -52, 0, 76, 0, -8, 0, -64, 0, 0, 0, -44, 0, 28, 0, 52, 0, -88, 0, 8, 0, -8, 0, -12, 0, -32, 0, 4, 0, -4, 0, -24, 0, 16, 0, -24, 0, -24, 0, 28, 0, -20, 0, 0, 0, -12, 0, -80, 0, -16, 0, 84, 0, -20, 0, 24, 0, 32, 0, 16, 0, -68, 0, -4, 0, -52, 0, -44, 0, -8, 0, -60, 0, 32, 0, 52, 0, 32, 0, -14, 0, 16, 0, -28, 0, 32, 0, 88, 0, 32, 0, 48, 0, 0, 0, 40, 0, -20, 0, 24, 0, 8, 0, -56, 0, 4, 0, 8, 0, -4, 0, 64, 0, -52, 0, 20, 0, 60, 0, -4, 0, -52, 0, 36, 0, 100, 0, 60, 0, -20, 0, -56, 0, 0, 0, 4, 0, 48, 0, 20, 0, 12, 0, -20, 0, 48, 0, 4, 0, 4, 0, -8, 0, 88, 0, -48, 0, -24, 0, 0, 0, 88, 0, 12, 0, 32, 0, 10, 0, -8, 0, 60, 0, -44, 0, -96, 0, -60, 0, -32, 0, 60, 0, 88, 0, 28, 0, -12, 0, 8, 0, -8, 0, 4, 0, 52, 0, 116, 0, 8, 0, -4, 0, 72, 0, 100, 0, 56, 0, -4, 0, -16, 0, 20, 0, -36, 0, 52, 0, -40, 0, 172, 0, 52, 0, 24, 0, -20, 0, 4, 0, 52, 0, 32, 0, 80, 0, 132, 0, 34, 0, 0, 0, 68, 0, 120, 0, -44, 0, 56, 0, 96, 0, -36, 0, 20, 0, -48, 0, 16, 0, 56, 0, 24, 0, -60, 0, -20, 0, -68, 0, -132, 0, -4, 0, -16, 0, 36, 0, 8, 0, -64, 0, 4, 0, 68, 0, 32, 0, 64, 0, 20, 0, 212, 0, -32, 0, -68, 0, -24, 0, 84, 0, -40, 0, -44, 0, 40, 0, 12, 0, -20, 0, -120, 0, -4, 0, 104, 0, -28, 0, 100, 0, -172, 0, -16, 0, 24, 0, -72, 0, -96, 0, -40, 0, -36, 0, 36, 0, 36, 0, -56, 0, 52, 0, -28, 0, -56, 0, 0, 0, -80, 0, -100, 0, -124, 0, 68, 0, 20, 0, -36, 0, -12, 0, -76, 0, -88, 0, 4, 0, -108, 0, 64, 0, -24, 0, 56, 0, -12, 0, -44, 0, -44, 0, -16, 0, -44, 0, 4, 0, 56, 0, 0, 0, -96, 0, 12, 0, -20, 0, 24, 0, 76, 0, 84, 0, -172, 0, 4, 0, 32, 0, 112, 0, -44, 0, -96, 0, -60, 0, 84, 0, 96, 0, 124, 0, -48, 0, -4, 0, -108, 0, 4, 0, -24, 0, -8, 0, 42, 0, -92, 0, -72, 0, -32, 0, 52, 0, 4, 0, -16, 0, -108, 0, -32, 0, 24, 0, 12, 0, 264, 0, -12, 0, -116, 0, -120, 0, 40, 0, 112, 0, -88, 0, 36, 0, -44, 0, -52, 0, -76, 0, -128, 0, -132, 0, -76, 0, 8, 0, -4, 0, 20, 0, 4, 0, 44, 0, -44, 0, 8, 0, 12, 0, -48, 0, 24, 0, 16, 0, 120, 0, -52, 0, -100, 0, -44, 0, -32, 0, -196, 0, -8, 0, 112, 0, -264, 0, -64, 0, -56, 0, 104, 0, -4, 0, -16, 0, 48, 0, 20, 0, -112, 0, -40, 0, -172, 0, -28, 0, -228, 0, 92, 0, -20, 0, 80, 0, 8, 0, -76, 0, -92, 0, 24, 0, 76, 0, -24, 0, -120, 0, 116, 0, -208, 0, 4, 0, -28, 0, 192, 0, -72, 0, -68, 0, 108, 0, -8, 0, 60, 0, -8, 0, -52, 0, 16, 0, 4, 0, 140, 0, 88, 0, -116, 0, -112, 0, 4, 0, 16, 0, 140, 0, 52, 0, -112, 0, 4, 0, 68, 0, -108, 0, -16, 0, 80, 0, -24, 0, 88, 0, -152, 0, -104, 0, 128, 0, 16, 0, -160, 0, -120, 0, -28, 0, 160, 0, 20, 0, -60, 0, 148, 0, -84, 0, 60, 0, 24, 0, 36, 0, 52, 0, 204, 0, 64, 0, -52, 0, -80, 0, 0, 0, -20, 0, 56, 0, 30, 0, -88, 0, 20, 0, -8, 0, -92, 0, 24, 0, 76, 0, -16, 0, 148, 0, -28, 0, -84, 0, 0, 0, -8, 0, -36, 0, -12, 0, 4, 0, -80, 0, -8, 0, -56, 0, -44, 0, -60, 0, -96, 0, -52, 0, -44, 0, 172, 0, -4, 0, 240, 0, -16, 0, 0, 0, 64, 0, 36, 0, 68, 0, 128, 0, 36, 0, -72, 0, 68, 0, -268, 0, -132, 0, 52, 0, -24, 0, 2, 0, 12, 0, 136, 0, -32, 0, 76, 0, -24, 0, 84, 0, -20, 0, 96, 0, -120, 0, 72, 0, -68, 0, 0, 0, 144, 0, -96, 0, -48, 0, 144, 0, 144, 0, 20, 0, 92, 0, -12, 0, -148, 0, -232, 0, -48, 0, 24, 0, 4, 0, 44, 0, -232, 0, -36, 0, 100, 0, -28, 0, 224, 0, 24, 0, -72, 0, -12, 0, -44, 0, 204, 0, -24, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44886046
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 22517998170407652, 'source_is_minimal': True, 'source_label': '740.2.a.f.1.3', 'source_level': 740, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22517998170407652, 'target_is_minimal': True, 'target_label': '740.2.a.f.1.3', 'target_level': 740, 'twist_class_label': '740.2.a.f.1.3', 'twist_class_level': 740, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44886047
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 22517998170407652, 'source_is_minimal': True, 'source_label': '740.2.a.f.1.3', 'source_level': 740, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 76561193698859524, 'target_is_minimal': False, 'target_label': '6660.2.a.r.1.3', 'target_level': 6660, 'twist_class_label': '740.2.a.f.1.3', 'twist_class_level': 740, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44886048
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 22517998170407652, 'source_is_minimal': True, 'source_label': '740.2.a.f.1.3', 'source_level': 740, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208337808, 'target_is_minimal': False, 'target_label': '2960.2.a.v.1.2', 'target_level': 2960, 'twist_class_label': '740.2.a.f.1.3', 'twist_class_level': 740, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44886049
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 22517998170407652, 'source_is_minimal': True, 'source_label': '740.2.a.f.1.3', 'source_level': 740, 'target_conrey_index': 149, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029003210952308, 'target_is_minimal': False, 'target_label': '3700.2.d.i.149.3', 'target_level': 3700, 'twist_class_label': '740.2.a.f.1.3', 'twist_class_level': 740, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44886050
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 22517998170407652, 'source_is_minimal': True, 'source_label': '740.2.a.f.1.3', 'source_level': 740, 'target_conrey_index': 149, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36029003210952308, 'target_is_minimal': False, 'target_label': '3700.2.d.i.149.6', 'target_level': 3700, 'twist_class_label': '740.2.a.f.1.3', 'twist_class_level': 740, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44886051
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 22517998170407652, 'source_is_minimal': True, 'source_label': '740.2.a.f.1.3', 'source_level': 740, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679892596, 'target_is_minimal': False, 'target_label': '3700.2.a.j.1.2', 'target_level': 3700, 'twist_class_label': '740.2.a.f.1.3', 'twist_class_level': 740, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1273575
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22517998170407652, 'p': 2}
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id: 1273576
{'charpoly_factorization': [[[-2, 24, -8, -3, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 3}
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id: 1273577
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 22517998170407652, 'p': 5}
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id: 1273578
{'charpoly_factorization': [[[6, -12, -2, 5, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 7}
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id: 1273579
{'charpoly_factorization': [[[-240, 192, -32, -5, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 11}
-
id: 1273580
{'charpoly_factorization': [[[160, -84, -20, 6, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 13}
-
id: 1273581
{'charpoly_factorization': [[[48, 108, 4, -10, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 17}
-
id: 1273582
{'charpoly_factorization': [[[64, -54, -38, 0, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 19}
-
id: 1273583
{'charpoly_factorization': [[[192, -24, -44, -2, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 23}
-
id: 1273584
{'charpoly_factorization': [[[192, -24, -44, -2, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 29}
-
id: 1273585
{'charpoly_factorization': [[[148, -350, -90, 4, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 31}
-
id: 1273586
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 22517998170407652, 'p': 37}
-
id: 1273587
{'charpoly_factorization': [[[-168, -828, 274, -29, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 41}
-
id: 1273588
{'charpoly_factorization': [[[1296, 288, -128, -4, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 43}
-
id: 1273589
{'charpoly_factorization': [[[54, -720, -102, 9, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 47}
-
id: 1273590
{'charpoly_factorization': [[[72, 36, -54, 3, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 53}
-
id: 1273591
{'charpoly_factorization': [[[-1968, -846, -62, 10, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 59}
-
id: 1273592
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 22517998170407652, 'p': 61}
-
id: 1273593
{'charpoly_factorization': [[[-8, 22, 6, -14, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 67}
-
id: 1273594
{'charpoly_factorization': [[[-288, -240, -8, 17, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 71}
-
id: 1273595
{'charpoly_factorization': [[[360, 348, -146, -7, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 73}
-
id: 1273596
{'charpoly_factorization': [[[-332, 354, 178, 24, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 79}
-
id: 1273597
{'charpoly_factorization': [[[-5238, 288, 244, -31, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 83}
-
id: 1273598
{'charpoly_factorization': [[[3504, -240, -128, 4, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 89}
-
id: 1273599
{'charpoly_factorization': [[[400, 672, -80, -12, 1], 1]], 'hecke_orbit_code': 22517998170407652, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '740.2.a.f', 'level': 740, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 41840611
{'hecke_orbit_code': 22517998170407652, 'n': 1, 'trace_an': 4}
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id: 41840612
{'hecke_orbit_code': 22517998170407652, 'n': 2, 'trace_an': 0}
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id: 41840613
{'hecke_orbit_code': 22517998170407652, 'n': 3, 'trace_an': 3}
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id: 41840614
{'hecke_orbit_code': 22517998170407652, 'n': 4, 'trace_an': 0}
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id: 41840615
{'hecke_orbit_code': 22517998170407652, 'n': 5, 'trace_an': 4}
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id: 41840616
{'hecke_orbit_code': 22517998170407652, 'n': 6, 'trace_an': 0}
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id: 41840617
{'hecke_orbit_code': 22517998170407652, 'n': 7, 'trace_an': -5}
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id: 41840618
{'hecke_orbit_code': 22517998170407652, 'n': 8, 'trace_an': 0}
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id: 41840619
{'hecke_orbit_code': 22517998170407652, 'n': 9, 'trace_an': 13}
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id: 41840620
{'hecke_orbit_code': 22517998170407652, 'n': 10, 'trace_an': 0}
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id: 41840621
{'hecke_orbit_code': 22517998170407652, 'n': 11, 'trace_an': 5}
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id: 41840622
{'hecke_orbit_code': 22517998170407652, 'n': 12, 'trace_an': 0}
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id: 41840623
{'hecke_orbit_code': 22517998170407652, 'n': 13, 'trace_an': -6}
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id: 41840624
{'hecke_orbit_code': 22517998170407652, 'n': 14, 'trace_an': 0}
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id: 41840625
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id: 41840833
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id: 41840834
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id: 41840835
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id: 41840836
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id: 41840837
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id: 41840838
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id: 41840839
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id: 41840840
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id: 41840841
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id: 41840842
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id: 41840843
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id: 41840844
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id: 41840845
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id: 41840846
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id: 41840847
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id: 41840848
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id: 41840849
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id: 41840850
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id: 41840851
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id: 41840852
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id: 41840853
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id: 41840854
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id: 41840855
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id: 41840856
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id: 41840857
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id: 41840858
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id: 41840859
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id: 41840860
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id: 41840861
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id: 41840862
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id: 41840863
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id: 41840864
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id: 41840865
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id: 41840866
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id: 41840867
{'hecke_orbit_code': 22517998170407652, 'n': 991, 'trace_an': -90}
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id: 41840868
{'hecke_orbit_code': 22517998170407652, 'n': 997, 'trace_an': 70}