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mf_newforms • Show schema
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{'Nk2': 2576, 'analytic_conductor': 5.142365890170456, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [23, 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': [644, 1, [323, 185, 281], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 6963152, 'field_disc_factorization': [[2, 4], [7, 1], [62171, 1]], 'field_poly': [10, 29, 10, -10, -2, 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, [-38, 16, 22, -8, -3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666564, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [7, -1], [23, 1]], 1, 1], [[[2, -1], [7, -1], [23, -1]], 5, 1], [[[2, -1], [7, 1], [23, -1]], 1, 1], [[[2, -1], [7, 1], [23, 1]], 5, 1]], 'ALdims': [0, 0, 0, 0, 5, 1, 1, 5], 'Nk2': 2576, 'analytic_conductor': 5.142365890170456, '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': [644, 1, [323, 185, 281], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 91, 'dim': 12, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33555076, 'hecke_orbit_dims': [1, 1, 5, 5], 'label': '644.2.a', 'level': 644, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 23], 'level_radical': 322, 'mf_dim': 102, 'mf_new_dim': 12, 'num_forms': 4, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 12, 'sturm_bound': 192, 'trace_bound': 3, 'trace_display': [0, 4, 4, 0], 'traces': [12, 0, 4, 0, 4, 0, 0, 0, 16, 0, 0, 0, 12, 0, -4, 0, 8, 0, 12, 0, -4, 0, 0, 0, 28, 0, 16, 0, 20, 0, -8, 0, 24, 0, 4, 0, 4, 0, 4, 0, 12, 0, 0, 0, 24, 0, -16, 0, 12, 0, 8, 0, -12, 0, -20, 0, -28, 0, 24, 0, -8, 0, 0, 0, -12, 0, -4, 0, 0, 0, 12, 0, 4, 0, -8, 0, 0, 0, 12, 0, 28, 0, -32, 0, 8, 0, -48, 0, 0, 0, -12, 0, -4, 0, -32, 0, 44, 0, 0, 0, -16, 0, -12, 0, -8, 0, -28, 0, 24, 0, -52, 0, -40, 0, 0, 0, 8, 0, 0, 0, 28, 0, -76, 0, 0, 0, 4, 0, -32, 0, -40, 0, 0, 0, -100, 0, -12, 0, -4, 0, 4, 0, -72, 0, 36, 0, 4, 0, -12, 0, -12, 0, -72, 0, -76, 0, 48, 0, -84, 0, 8, 0, 12, 0, -48, 0, -20, 0, 48, 0, 56, 0, -40, 0, -8, 0, 0, 0, 36, 0, 48, 0, -56, 0, 8, 0, 44, 0, -4, 0, -52, 0, 12, 0, 20, 0, 4, 0, -32, 0, 4, 0, -8, 0, 36, 0, 0, 0, -32, 0, 32, 0, -84, 0, 24, 0, -4, 0, 4, 0, -16, 0, 16, 0, 48, 0, -40, 0, 68, 0, -20, 0, 36, 0, 36, 0, 36, 0, -52, 0, 64, 0, -8, 0, 4, 0, 60, 0, -40, 0, 28, 0, 0, 0, 20, 0, -28, 0, 24, 0, 32, 0, -8, 0, 64, 0, 56, 0, -28, 0, 8, 0, 0, 0, 24, 0, 52, 0, -16, 0, 20, 0, -8, 0, -80, 0, 4, 0, -4, 0, 76, 0, -60, 0, -48, 0, 112, 0, -8, 0, 16, 0, -40, 0, 0, 0, 4, 0, 4, 0, -12, 0, 12, 0, 48, 0, -24, 0, -16, 0, -12, 0, 24, 0, 132, 0, 80, 0, -20, 0, 100, 0, -8, 0, 84, 0, 60, 0, 96, 0, 96, 0, 0, 0, -12, 0, 48, 0, -4, 0, 60, 0, 28, 0, 68, 0, 40, 0, 28, 0, 164, 0, 60, 0, -4, 0, 24, 0, 32, 0, -8, 0, -40, 0, 48, 0, -12, 0, 100, 0, -76, 0, -12, 0, -24, 0, 120, 0, 8, 0, 0, 0, -148, 0, 4, 0, 36, 0, -40, 0, -56, 0, 60, 0, -28, 0, 48, 0, -68, 0, 92, 0, -16, 0, 0, 0, -100, 0, 8, 0, 104, 0, 8, 0, -120, 0, -28, 0, -56, 0, -100, 0, -40, 0, -12, 0, -12, 0, -28, 0, 16, 0, -108, 0, -64, 0, 4, 0, 104, 0, 56, 0, -116, 0, 8, 0, 24, 0, -24, 0, -28, 0, -56, 0, -212, 0, 112, 0, 24, 0, 32, 0, -72, 0, 92, 0, -152, 0, 28, 0, -4, 0, 4, 0, 88, 0, -76, 0, 108, 0, 36, 0, -32, 0, -172, 0, -16, 0, -52, 0, 40, 0, -36, 0, -40, 0, 136, 0, -36, 0, 36, 0, -148, 0, 16, 0, -16, 0, -104, 0, -24, 0, -52, 0, -76, 0, 96, 0, 12, 0, 20, 0, -116, 0, -160, 0, 36, 0, 0, 0, -20, 0, -8, 0, -56, 0, 28, 0, -8, 0, 44, 0, 0, 0, 64, 0, 12, 0, -72, 0, -48, 0, 52, 0, 8, 0, 48, 0, 28, 0, 36, 0, -116, 0, 0, 0, 28, 0, 100, 0, 32, 0, -104, 0, -152, 0, -12, 0, -60, 0, -108, 0, -48, 0, -24, 0, -8, 0, -112, 0, -20, 0, 104, 0, -180, 0, -68, 0, -20, 0, 140, 0, 4, 0, -108, 0, -28, 0, 108, 0, -24, 0, -40, 0, -44, 0, 200, 0, 16, 0, -64, 0, -280, 0, 60, 0, 12, 0, -120, 0, -32, 0, -20, 0, -24, 0, 128, 0, -48, 0, 24, 0, -92, 0, -76, 0, -136, 0, 68, 0, 236, 0, -112, 0, 16, 0, -8, 0, -88, 0, 68, 0, -12, 0, -24, 0, -60, 0, 52, 0, 32, 0, 92, 0, -64, 0, 180, 0, 76, 0, 28, 0, -64, 0, -140, 0, 32, 0, 16, 0, -100, 0, 24, 0, -68, 0, 0, 0, 72, 0, 56, 0, 8, 0, -96, 0, -44, 0, -68, 0, -32, 0, 48, 0, 116, 0, 4, 0, 124, 0, -48, 0, -24, 0, -4, 0, -8, 0, -60, 0, 140, 0, 48, 0, 56, 0, 56, 0, 16, 0, -64, 0, -28, 0, 36, 0, -24, 0, -28, 0, 84, 0, 32, 0, -160, 0, 0, 0, 60, 0, 100, 0, 124, 0, -92, 0, 48, 0, 44, 0, -152, 0, -180, 0, -232, 0, -160, 0, 48, 0, -16, 0, 88, 0, -40, 0, 100, 0, -160, 0, 160, 0, -80, 0, 8, 0, 76, 0, 88, 0, 144, 0, 64, 0, 100, 0, -64, 0, -88, 0, -48, 0, -84, 0, 64, 0, -24, 0, 80, 0, 120, 0, 8, 0, -72, 0, 132, 0, -60, 0, -8, 0, -220, 0, 136, 0, -48, 0, 40, 0, 28, 0, -64, 0, 40, 0, -148, 0, 20, 0, 0, 0, -52, 0, -72, 0, 88, 0, 168, 0, -52, 0, 144, 0, -36, 0, -8, 0, 180, 0, 28, 0, 48, 0, 152, 0, 172, 0, 40, 0, 232, 0, -188, 0, -156, 0, -8, 0, 8, 0, 136, 0, 80, 0, 104, 0, -92, 0, 136, 0, -24, 0, -200, 0, 60, 0, 4, 0, 28, 0, 112, 0, -84, 0, 140, 0, -40, 0, -60, 0, 12, 0, 148, 0, 296, 0, 4, 0, -92, 0, 92, 0, 24, 0, 40, 0, 36, 0, 124, 0, 188, 0, -8, 0, -272, 0, -96, 0, 56, 0, 56, 0, -160, 0, -172, 0, -68, 0, 392, 0, 20, 0, -4, 0, 156, 0, -12, 0, -12, 0, 240, 0, 204, 0, 60, 0, -64, 0, 24, 0, -64, 0, 68, 0, 216, 0, -64, 0, 68, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 42585067
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915666564, 'source_is_minimal': True, 'source_label': '644.2.a.d.1.5', 'source_level': 644, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510798915666564, 'target_is_minimal': True, 'target_label': '644.2.a.d.1.5', 'target_level': 644, 'twist_class_label': '644.2.a.d.1.5', 'twist_class_level': 644, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42585068
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915666564, 'source_is_minimal': True, 'source_label': '644.2.a.d.1.5', 'source_level': 644, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 85568392953599652, 'target_is_minimal': False, 'target_label': '5796.2.a.t.1.4', 'target_level': 5796, 'twist_class_label': '644.2.a.d.1.5', 'twist_class_level': 644, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42585069
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915666564, 'source_is_minimal': True, 'source_label': '644.2.a.d.1.5', 'source_level': 644, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972560400, 'target_is_minimal': False, 'target_label': '2576.2.a.bb.1.1', 'target_level': 2576, 'twist_class_label': '644.2.a.d.1.5', 'twist_class_level': 644, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42585070
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915666564, 'source_is_minimal': True, 'source_label': '644.2.a.d.1.5', 'source_level': 644, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170411420, 'target_is_minimal': False, 'target_label': '4508.2.a.f.1.1', 'target_level': 4508, 'twist_class_label': '644.2.a.d.1.5', 'twist_class_level': 644, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1156700
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 13510798915666564, 'p': 2}
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id: 1156701
{'charpoly_factorization': [[[-38, 16, 22, -8, -3, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 3}
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id: 1156702
{'charpoly_factorization': [[[-160, 94, 34, -20, -2, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 5}
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id: 1156703
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 13510798915666564, 'p': 7}
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id: 1156704
{'charpoly_factorization': [[[-360, 564, 68, -48, -2, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 11}
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id: 1156705
{'charpoly_factorization': [[[1424, -1360, 320, 20, -13, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 13}
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id: 1156706
{'charpoly_factorization': [[[256, 494, 70, -48, -4, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 17}
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id: 1156707
{'charpoly_factorization': [[[-1024, -448, 320, 0, -12, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 19}
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id: 1156708
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 13510798915666564, 'p': 23}
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id: 1156709
{'charpoly_factorization': [[[-796, -72, 304, 0, -13, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 29}
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id: 1156710
{'charpoly_factorization': [[[20810, 4512, -570, -142, 3, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 31}
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id: 1156711
{'charpoly_factorization': [[[1152, -240, -512, -88, 4, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 37}
-
id: 1156712
{'charpoly_factorization': [[[-2032, 1728, 96, -84, -1, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 41}
-
id: 1156713
{'charpoly_factorization': [[[-1984, -2800, -1024, -88, 8, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 43}
-
id: 1156714
{'charpoly_factorization': [[[-1198, 1888, 642, -130, -5, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 47}
-
id: 1156715
{'charpoly_factorization': [[[28224, 5040, -944, -144, 8, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 53}
-
id: 1156716
{'charpoly_factorization': [[[-216, 162, 78, -44, -12, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 59}
-
id: 1156717
{'charpoly_factorization': [[[292, -582, 242, 60, -20, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 61}
-
id: 1156718
{'charpoly_factorization': [[[-9008, -7988, -1884, -96, 12, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 67}
-
id: 1156719
{'charpoly_factorization': [[[-19840, -3264, 2224, -180, -9, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 71}
-
id: 1156720
{'charpoly_factorization': [[[1296, 3456, -488, -112, 9, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 73}
-
id: 1156721
{'charpoly_factorization': [[[-6320, -6212, -1908, -160, 8, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 79}
-
id: 1156722
{'charpoly_factorization': [[[-4096, -6560, -848, 160, 28, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 83}
-
id: 1156723
{'charpoly_factorization': [[[200, -26818, 3354, 148, -32, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 89}
-
id: 1156724
{'charpoly_factorization': [[[27700, 10738, 114, -196, -4, 1], 1]], 'hecke_orbit_code': 13510798915666564, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '644.2.a.d', 'level': 644, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 126026000
{'hecke_orbit_code': 13510798915666564, 'n': 1, 'trace_an': 5}
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id: 126026001
{'hecke_orbit_code': 13510798915666564, 'n': 2, 'trace_an': 0}
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id: 126026002
{'hecke_orbit_code': 13510798915666564, 'n': 3, 'trace_an': 3}
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id: 126026003
{'hecke_orbit_code': 13510798915666564, 'n': 4, 'trace_an': 0}
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id: 126026004
{'hecke_orbit_code': 13510798915666564, 'n': 5, 'trace_an': 2}
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id: 126026005
{'hecke_orbit_code': 13510798915666564, 'n': 6, 'trace_an': 0}
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id: 126026006
{'hecke_orbit_code': 13510798915666564, 'n': 7, 'trace_an': -5}
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id: 126026007
{'hecke_orbit_code': 13510798915666564, 'n': 8, 'trace_an': 0}
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id: 126026008
{'hecke_orbit_code': 13510798915666564, 'n': 9, 'trace_an': 10}
-
id: 126026009
{'hecke_orbit_code': 13510798915666564, 'n': 10, 'trace_an': 0}
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id: 126026010
{'hecke_orbit_code': 13510798915666564, 'n': 11, 'trace_an': 2}
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id: 126026011
{'hecke_orbit_code': 13510798915666564, 'n': 12, 'trace_an': 0}
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id: 126026012
{'hecke_orbit_code': 13510798915666564, 'n': 13, 'trace_an': 13}
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id: 126026013
{'hecke_orbit_code': 13510798915666564, 'n': 14, 'trace_an': 0}
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id: 126026014
{'hecke_orbit_code': 13510798915666564, 'n': 15, 'trace_an': 4}
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id: 126026015
{'hecke_orbit_code': 13510798915666564, 'n': 16, 'trace_an': 0}
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id: 126026016
{'hecke_orbit_code': 13510798915666564, 'n': 17, 'trace_an': 4}
-
id: 126026017
{'hecke_orbit_code': 13510798915666564, 'n': 18, 'trace_an': 0}
-
id: 126026018
{'hecke_orbit_code': 13510798915666564, 'n': 19, 'trace_an': 12}
-
id: 126026019
{'hecke_orbit_code': 13510798915666564, 'n': 20, 'trace_an': 0}
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id: 126026020
{'hecke_orbit_code': 13510798915666564, 'n': 21, 'trace_an': -3}
-
id: 126026021
{'hecke_orbit_code': 13510798915666564, 'n': 22, 'trace_an': 0}
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id: 126026022
{'hecke_orbit_code': 13510798915666564, 'n': 23, 'trace_an': -5}
-
id: 126026023
{'hecke_orbit_code': 13510798915666564, 'n': 24, 'trace_an': 0}
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id: 126026024
{'hecke_orbit_code': 13510798915666564, 'n': 25, 'trace_an': 19}
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