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mf_newforms • Show schema
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{'Nk2': 13680, 'analytic_conductor': 41.41700018276513, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [1520, 2, [191, 1141, 1217, 401], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 721, 'conrey_indexes': [721], 'dim': 12, 'field_disc': 51121499780651155456000000, 'field_disc_factorization': [[2, 24], [5, 6], [139, 1], [1184471, 2]], 'field_poly': [55600, 0, 170640, 0, 83244, 0, 15924, 0, 1445, 0, 62, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [55600, 0, 170640, 0, 83244, 0, 15924, 0, 1445, 0, 62, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504080714040816, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 2560, 'hecke_ring_index_factorization': [[2, 9], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 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': '1520.3.h.b', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '380.3.e.a', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{3}+\\beta _{6}q^{5}+(1-\\beta _{6}+\\beta _{11})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1520.3.h', 'trace_display': [0, 0, 0, 12], 'trace_hash': 93289877112042380, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.302', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.042', 'prec': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 13680, 'analytic_conductor': 41.41700018276513, 'char_conductor': 19, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [1520, 2, [191, 1141, 1217, 401], [2, 2, 2, 1]], 'conrey_index': 721, 'cusp_dim': 468, 'dim': 80, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 481086670320, 'hecke_orbit_dims': [12, 12, 16, 40], 'label': '1520.3.h', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 492, 'mf_new_dim': 80, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 80, 'sturm_bound': 720, 'trace_bound': 7, 'trace_display': [0, 0, 0, 32], 'traces': [80, 0, 0, 0, 0, 0, 32, 0, -224, 0, 0, 0, 0, 0, 0, 0, 48, 0, -48, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 256, 0, 0, 0, 0, 0, 544, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 35678030
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 721, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 4504080714040816, 'target_is_minimal': False, 'target_label': '1520.3.h.b.721.11', 'target_level': 1520, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 35678031
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 341, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274928238972, 'target_is_minimal': True, 'target_label': '380.3.e.a.341.2', 'target_level': 380, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 35678032
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 721, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 962123009372, 'target_is_minimal': False, 'target_label': '3420.3.o.a.721.9', 'target_level': 3420, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 35678033
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 721, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080714040816, 'target_is_minimal': False, 'target_label': '1520.3.h.b.721.2', 'target_level': 1520, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 3}
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id: 35678034
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 949, 'target_dim': 24, 'target_embedding_index': 21, 'target_hecke_orbit_code': 9007611621934956, 'target_is_minimal': False, 'target_label': '1900.3.g.c.949.21', 'target_level': 1900, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 35678035
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 949, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007611621934956, 'target_is_minimal': False, 'target_label': '1900.3.g.c.949.4', 'target_level': 1900, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 35678036
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 1101, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 22518273065092972, 'target_is_minimal': False, 'target_label': '1900.3.e.f.1101.11', 'target_level': 1900, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 3}
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id: 35678037
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 341, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 274928238972, 'target_is_minimal': True, 'target_label': '380.3.e.a.341.11', 'target_level': 380, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 3}
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id: 35678038
{'conductor': 228, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 721, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 962123009372, 'target_is_minimal': False, 'target_label': '3420.3.o.a.721.10', 'target_level': 3420, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '228.227', 'twisting_conrey_index': 227, 'weight': 3}
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id: 35678039
{'conductor': 380, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 949, 'target_dim': 24, 'target_embedding_index': 22, 'target_hecke_orbit_code': 9007611621934956, 'target_is_minimal': False, 'target_label': '1900.3.g.c.949.22', 'target_level': 1900, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '380.227', 'twisting_conrey_index': 227, 'weight': 3}
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id: 35678040
{'conductor': 380, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 949, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007611621934956, 'target_is_minimal': False, 'target_label': '1900.3.g.c.949.3', 'target_level': 1900, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '380.303', 'twisting_conrey_index': 303, 'weight': 3}
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id: 35678041
{'conductor': 380, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 721, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 4504080714040816, 'source_is_minimal': False, 'source_label': '1520.3.h.b.721.11', 'source_level': 1520, 'target_conrey_index': 1101, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273065092972, 'target_is_minimal': False, 'target_label': '1900.3.e.f.1101.2', 'target_level': 1900, 'twist_class_label': '380.3.e.a.341.2', 'twist_class_level': 380, 'twisting_char_label': '380.379', 'twisting_conrey_index': 379, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 2008675
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080714040816, 'p': 2}
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id: 2008676
{'charpoly_factorization': [[[55600, 0, 170640, 0, 83244, 0, 15924, 0, 1445, 0, 62, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 3}
-
id: 2008677
{'charpoly_factorization': [[[-5, 0, 1], 6]], 'hecke_orbit_code': 4504080714040816, 'p': 5}
-
id: 2008678
{'charpoly_factorization': [[[-3344, -6272, 2080, 448, -123, -6, 1], 2]], 'hecke_orbit_code': 4504080714040816, 'p': 7}
-
id: 2008679
{'charpoly_factorization': [[[-43264, -65728, 5360, 2656, -164, -16, 1], 2]], 'hecke_orbit_code': 4504080714040816, 'p': 11}
-
id: 2008680
{'charpoly_factorization': [[[18127879600, 0, 46566284240, 0, 3704449004, 0, 67065412, 0, 454605, 0, 1174, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 13}
-
id: 2008681
{'charpoly_factorization': [[[818576, 680352, 111560, -3968, -703, 6, 1], 2]], 'hecke_orbit_code': 4504080714040816, 'p': 17}
-
id: 2008682
{'charpoly_factorization': [[[2213314919066161, 147145590187224, 12194198263438, 538581245688, 40699639263, 1182272112, 69221028, 3274992, 312303, 11448, 718, 24, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 19}
-
id: 2008683
{'charpoly_factorization': [[[-752400, 748800, 62080, -18400, -1379, 2, 1], 2]], 'hecke_orbit_code': 4504080714040816, 'p': 23}
-
id: 2008684
{'charpoly_factorization': [[[24578837040640000, 0, 577751990604800, 0, 4466410158784, 0, 13344932784, 0, 14527705, 0, 6442, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 29}
-
id: 2008685
{'charpoly_factorization': [[[119374584217600, 0, 9209673482240, 0, 189626036224, 0, 1469386752, 0, 4308160, 0, 3904, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 31}
-
id: 2008686
{'charpoly_factorization': [[[2556834339961600, 0, 179296520786560, 0, 3535386239344, 0, 16197016912, 0, 24619340, 0, 9204, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 37}
-
id: 2008687
{'charpoly_factorization': [[[122746616519065600, 0, 1540001874575360, 0, 7218693013504, 0, 15782277120, 0, 16359424, 0, 7120, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 41}
-
id: 2008688
{'charpoly_factorization': [[[-2451136, -4996608, -2018960, 110560, 460, -88, 1], 2]], 'hecke_orbit_code': 4504080714040816, 'p': 43}
-
id: 2008689
{'charpoly_factorization': [[[-9167899456, -205846592, 15902576, 188128, -7500, -36, 1], 2]], 'hecke_orbit_code': 4504080714040816, 'p': 47}
-
id: 2008690
{'charpoly_factorization': [[[3193105851428688103600, 0, 6145069971405169040, 0, 4516584793096844, 0, 1637397541300, 0, 308301741, 0, 28390, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 53}
-
id: 2008691
{'charpoly_factorization': [[[492787956121600, 0, 7814344462704640, 0, 56540303646464, 0, 123820877984, 0, 81450305, 0, 17122, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 59}
-
id: 2008692
{'charpoly_factorization': [[[-1301500864, -116799296, 3171968, 189280, -2952, -76, 1], 2]], 'hecke_orbit_code': 4504080714040816, 'p': 61}
-
id: 2008693
{'charpoly_factorization': [[[392055999889143600, 0, 13255845003660240, 0, 76653074089804, 0, 153163111300, 0, 112421269, 0, 19710, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 67}
-
id: 2008694
{'charpoly_factorization': [[[3395808717756144025600, 0, 20557086414940733440, 0, 30856628712812544, 0, 8826848235520, 0, 1014731456, 0, 52160, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 71}
-
id: 2008695
{'charpoly_factorization': [[[5637612816, 490085088, 5561000, -404672, -7103, 74, 1], 2]], 'hecke_orbit_code': 4504080714040816, 'p': 73}
-
id: 2008696
{'charpoly_factorization': [[[36124063833702400000000, 0, 72155660704890880000, 0, 37408890436358144, 0, 8400762836480, 0, 924364304, 0, 49000, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 79}
-
id: 2008697
{'charpoly_factorization': [[[-2227337984, -1670714112, 37448240, 941184, -12064, -104, 1], 2]], 'hecke_orbit_code': 4504080714040816, 'p': 83}
-
id: 2008698
{'charpoly_factorization': [[[1073529535279823257600, 0, 8824799886414397440, 0, 10690415477484544, 0, 4018121756928, 0, 630894800, 0, 42776, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 89}
-
id: 2008699
{'charpoly_factorization': [[[2384869939909857913600, 0, 13144169535713183360, 0, 20739756167840624, 0, 7602023198288, 0, 1027748300, 0, 55476, 0, 1], 1]], 'hecke_orbit_code': 4504080714040816, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 2, 'label': '1520.3.h.b', 'level': 1520, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 89669000
{'hecke_orbit_code': 4504080714040816, 'n': 1, 'trace_an': 12}
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id: 89669001
{'hecke_orbit_code': 4504080714040816, 'n': 2, 'trace_an': 0}
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id: 89669002
{'hecke_orbit_code': 4504080714040816, 'n': 3, 'trace_an': 0}
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id: 89669003
{'hecke_orbit_code': 4504080714040816, 'n': 4, 'trace_an': 0}
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id: 89669004
{'hecke_orbit_code': 4504080714040816, 'n': 5, 'trace_an': 0}
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id: 89669005
{'hecke_orbit_code': 4504080714040816, 'n': 6, 'trace_an': 0}
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id: 89669006
{'hecke_orbit_code': 4504080714040816, 'n': 7, 'trace_an': 12}
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id: 89669007
{'hecke_orbit_code': 4504080714040816, 'n': 8, 'trace_an': 0}
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id: 89669008
{'hecke_orbit_code': 4504080714040816, 'n': 9, 'trace_an': -16}
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id: 89669009
{'hecke_orbit_code': 4504080714040816, 'n': 10, 'trace_an': 0}
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id: 89669010
{'hecke_orbit_code': 4504080714040816, 'n': 11, 'trace_an': 32}
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id: 89669011
{'hecke_orbit_code': 4504080714040816, 'n': 12, 'trace_an': 0}
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id: 89669012
{'hecke_orbit_code': 4504080714040816, 'n': 13, 'trace_an': 0}
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id: 89669013
{'hecke_orbit_code': 4504080714040816, 'n': 14, 'trace_an': 0}
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id: 89669014
{'hecke_orbit_code': 4504080714040816, 'n': 15, 'trace_an': 0}
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id: 89669015
{'hecke_orbit_code': 4504080714040816, 'n': 16, 'trace_an': 0}
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id: 89669016
{'hecke_orbit_code': 4504080714040816, 'n': 17, 'trace_an': -12}
-
id: 89669017
{'hecke_orbit_code': 4504080714040816, 'n': 18, 'trace_an': 0}
-
id: 89669018
{'hecke_orbit_code': 4504080714040816, 'n': 19, 'trace_an': -24}
-
id: 89669019
{'hecke_orbit_code': 4504080714040816, 'n': 20, 'trace_an': 0}
-
id: 89669020
{'hecke_orbit_code': 4504080714040816, 'n': 21, 'trace_an': 0}
-
id: 89669021
{'hecke_orbit_code': 4504080714040816, 'n': 22, 'trace_an': 0}
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