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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [19, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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, [-4, -4, 2, 1]], [7, [-16, -16, 0, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444113392, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1520.2.a.p', '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': '95.2.a.a', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}+q^{5}+(-\\beta _{1}+\\beta _{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1520.2.a', 'trace_display': [0, -2, 3, 0], 'trace_hash': 1168391416824479788, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.053', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.856', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.201', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 5, 2], [[[2, -1], [5, -1], [19, -1]], 7, 3], [[[2, 1], [5, -1], [19, -1]], 4, 4], [[[2, 1], [5, -1], [19, 1]], 4, 2], [[[2, 1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [5, -1], [19, 1]], 3, 2], [[[2, -1], [5, 1], [19, 1]], 6, 3], [[[2, -1], [5, 1], [19, -1]], 2, 2]], 'ALdims': [5, 5, 4, 4, 6, 2, 3, 7], 'Nk2': 6080, 'analytic_conductor': 12.137261107234618, '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': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 229, 'dim': 36, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33555952, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4], 'label': '1520.2.a', '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': 252, 'mf_new_dim': 36, 'num_forms': 20, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [36, 0, 0, 0, 0, 0, 4, 0, 36, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 20, 0, 36, 0, 24, 0, -8, 0, 0, 0, 0, 0, -12, 0, -16, 0, 0, 0, 0, 0, -4, 0, 8, 0, -4, 0, 36, 0, 16, 0, -16, 0, 8, 0, 0, 0, 16, 0, 0, 0, 60, 0, 0, 0, 40, 0, 40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 16, 0, 28, 0, 4, 0, 0, 0, -24, 0, -8, 0, 64, 0, -16, 0, 8, 0, 0, 0, -40, 0, -40, 0, 48, 0, -8, 0, -16, 0, -16, 0, 56, 0, -32, 0, -12, 0, -16, 0, -80, 0, 20, 0, 48, 0, 0, 0, -8, 0, 8, 0, -8, 0, 0, 0, -24, 0, -32, 0, -48, 0, -40, 0, -24, 0, 16, 0, -32, 0, 16, 0, 32, 0, 24, 0, 16, 0, 0, 0, -32, 0, -16, 0, 28, 0, 0, 0, 0, 0, 84, 0, 0, 0, -48, 0, 4, 0, 56, 0, -64, 0, 24, 0, -72, 0, 0, 0, -48, 0, -16, 0, 0, 0, 0, 0, -8, 0, -96, 0, -56, 0, 32, 0, -40, 0, 24, 0, 76, 0, 0, 0, 32, 0, -128, 0, 4, 0, 32, 0, 80, 0, -32, 0, -24, 0, 36, 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mf_twists_cc • Show schema
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id: 47888525
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444113392, 'target_is_minimal': False, 'target_label': '1520.2.a.p.1.2', 'target_level': 1520, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47888526
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554527, 'target_is_minimal': True, 'target_label': '95.2.a.a.1.1', 'target_level': 95, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47888527
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 220676381774716336, 'target_is_minimal': False, 'target_label': '7600.2.a.bx.1.2', 'target_level': 7600, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47888528
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985128380352, 'target_is_minimal': False, 'target_label': '6080.2.a.bo.1.2', 'target_level': 6080, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47888529
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402085312, 'target_is_minimal': False, 'target_label': '6080.2.a.by.1.2', 'target_level': 6080, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47888530
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052519255, 'target_is_minimal': False, 'target_label': '855.2.a.i.1.3', 'target_level': 855, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47888531
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510867635143131, 'target_is_minimal': False, 'target_label': '475.2.b.d.324.5', 'target_level': 475, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47888532
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635143131, 'target_is_minimal': False, 'target_label': '475.2.b.d.324.2', 'target_level': 475, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47888533
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22517998170407387, 'target_is_minimal': False, 'target_label': '475.2.a.f.1.3', 'target_level': 475, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47888534
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580969007, 'target_is_minimal': False, 'target_label': '4655.2.a.u.1.1', 'target_level': 4655, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47888535
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618896563, 'target_is_minimal': False, 'target_label': '4275.2.a.bk.1.1', 'target_level': 4275, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47888536
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22517998170408717, 'target_is_minimal': False, 'target_label': '1805.2.a.f.1.3', 'target_level': 1805, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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id: 47888537
{'conductor': 380, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444113392, 'source_is_minimal': False, 'source_label': '1520.2.a.p.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972566849, 'target_is_minimal': False, 'target_label': '9025.2.a.bb.1.1', 'target_level': 9025, 'twist_class_label': '95.2.a.a.1.1', 'twist_class_level': 95, 'twisting_char_label': '380.379', 'twisting_conrey_index': 379, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2007200
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 67553994444113392, 'p': 2}
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id: 2007201
{'charpoly_factorization': [[[-4, -4, 2, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 3}
-
id: 2007202
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 67553994444113392, 'p': 5}
-
id: 2007203
{'charpoly_factorization': [[[-16, -16, 0, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 7}
-
id: 2007204
{'charpoly_factorization': [[[16, 8, -8, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 11}
-
id: 2007205
{'charpoly_factorization': [[[-4, 12, -8, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 13}
-
id: 2007206
{'charpoly_factorization': [[[104, -36, -2, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 17}
-
id: 2007207
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 67553994444113392, 'p': 19}
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id: 2007208
{'charpoly_factorization': [[[16, -8, -4, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 23}
-
id: 2007209
{'charpoly_factorization': [[[-40, 12, 10, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 29}
-
id: 2007210
{'charpoly_factorization': [[[-64, -48, 4, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 31}
-
id: 2007211
{'charpoly_factorization': [[[-244, 124, -20, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 37}
-
id: 2007212
{'charpoly_factorization': [[[-104, -36, 2, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 41}
-
id: 2007213
{'charpoly_factorization': [[[592, -144, -4, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 43}
-
id: 2007214
{'charpoly_factorization': [[[-16, -16, 0, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 47}
-
id: 2007215
{'charpoly_factorization': [[[-92, 76, -16, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 53}
-
id: 2007216
{'charpoly_factorization': [[[-160, 112, -20, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 59}
-
id: 2007217
{'charpoly_factorization': [[[232, -84, 2, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 61}
-
id: 2007218
{'charpoly_factorization': [[[116, -76, 2, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 67}
-
id: 2007219
{'charpoly_factorization': [[[64, -80, -4, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 71}
-
id: 2007220
{'charpoly_factorization': [[[8, -20, -2, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 73}
-
id: 2007221
{'charpoly_factorization': [[[160, -192, 0, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 79}
-
id: 2007222
{'charpoly_factorization': [[[-1072, 328, -32, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 83}
-
id: 2007223
{'charpoly_factorization': [[[680, -132, -2, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 89}
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id: 2007224
{'charpoly_factorization': [[[1748, -60, -20, 1], 1]], 'hecke_orbit_code': 67553994444113392, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '1520.2.a.p', 'level': 1520, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 234029000
{'hecke_orbit_code': 67553994444113392, 'n': 1, 'trace_an': 3}
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id: 234029001
{'hecke_orbit_code': 67553994444113392, 'n': 2, 'trace_an': 0}
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id: 234029002
{'hecke_orbit_code': 67553994444113392, 'n': 3, 'trace_an': -2}
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id: 234029003
{'hecke_orbit_code': 67553994444113392, 'n': 4, 'trace_an': 0}
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id: 234029004
{'hecke_orbit_code': 67553994444113392, 'n': 5, 'trace_an': 3}
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id: 234029005
{'hecke_orbit_code': 67553994444113392, 'n': 6, 'trace_an': 0}
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id: 234029006
{'hecke_orbit_code': 67553994444113392, 'n': 7, 'trace_an': 0}
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id: 234029007
{'hecke_orbit_code': 67553994444113392, 'n': 8, 'trace_an': 0}
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id: 234029008
{'hecke_orbit_code': 67553994444113392, 'n': 9, 'trace_an': 3}
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id: 234029009
{'hecke_orbit_code': 67553994444113392, 'n': 10, 'trace_an': 0}
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id: 234029010
{'hecke_orbit_code': 67553994444113392, 'n': 11, 'trace_an': 8}
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id: 234029011
{'hecke_orbit_code': 67553994444113392, 'n': 12, 'trace_an': 0}
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