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{'Nk2': 33600, 'analytic_conductor': 67.07433769787552, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -1], [7, 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': [8400, 1, [3151, 2101, 2801, 5377, 3601], [1, 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': [[11, [-8, -20, 2, 1]], [13, [8, -12, -2, 1]], [17, [16, -16, 0, 1]], [19, [-8, -12, 2, 1]], [23, [-16, 8, 8, 1]]], 'hecke_orbit': 86, 'hecke_orbit_code': 382805968360054992, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': '8400.2.a.dh', 'level': 8400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '840.2.t.e', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{7}+q^{9}+(-1-\\beta _{1}-\\beta _{2})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8400.2.a', 'trace_display': [0, -3, 0, -3], 'trace_hash': 1075537720917344418, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.053', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.882', 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1]], 5, 3], [[[2, -1], [3, 1], [5, 1], [7, -1]], 8, 6], [[[2, 1], [3, 1], [5, -1], [7, -1]], 7, 6], [[[2, -1], [3, 1], [5, -1], [7, -1]], 7, 7], [[[2, 1], [3, 1], [5, 1], [7, -1]], 7, 7], [[[2, 1], [3, -1], [5, -1], [7, -1]], 9, 4], [[[2, 1], [3, -1], [5, 1], [7, -1]], 6, 4], [[[2, -1], [3, -1], [5, 1], [7, 1]], 5, 5], [[[2, -1], [3, -1], [5, -1], [7, 1]], 9, 8], [[[2, 1], [3, -1], [5, -1], [7, 1]], 7, 6], [[[2, 1], [3, -1], [5, 1], [7, 1]], 7, 7], [[[2, -1], [3, 1], [5, 1], [7, 1]], 6, 6], [[[2, -1], [3, -1], [5, 1], [7, -1]], 9, 8], [[[2, 1], [3, 1], [5, 1], [7, 1]], 6, 5], [[[2, -1], [3, 1], [5, -1], [7, 1]], 7, 4], [[[2, 1], [3, 1], [5, -1], [7, 1]], 9, 4]], 'ALdims': [6, 7, 9, 7, 7, 6, 7, 9, 6, 8, 7, 7, 5, 9, 9, 5], 'Nk2': 33600, 'analytic_conductor': 67.07433769787552, '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': [8400, 1, [3151, 2101, 2801, 5377, 3601], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1849, 'dim': 114, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 23], 'hecke_orbit_code': 33562832, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3], 'label': '8400.2.a', 'level': 8400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1992, 'mf_new_dim': 114, 'num_forms': 90, 'plus_dim': 51, 'prim_orbit_index': 1, 'relative_dim': 114, 'sturm_bound': 3840, 'trace_bound': 19, 'trace_display': [0, 0, 0, 2], 'traces': [114, 0, 0, 0, 0, 0, 2, 0, 114, 0, 4, 0, -4, 0, 0, 0, 4, 0, -8, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, -8, 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0, 576, 0, 128, 0, 0, 0, -4, 0, -28, 0, 896, 0, 180, 0, 0, 0, 76, 0, -128, 0, 16, 0, 372, 0, 0, 0, -24, 0, -568, 0, 1056, 0, -64, 0, 0, 0, -56, 0, -256, 0, 236, 0, -112, 0, 0, 0, 368, 0, -88, 0, -204, 0, -220, 0, 0, 0, -288, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1389653
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 86, 'source_is_minimal': False, 'source_label': '8400.2.a.dh', 'source_level': 8400, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '840.2.t.e', 'target_level': 840, 'twist_class_label': '840.2.t.e', 'twist_class_level': 840, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1389654
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 86, 'source_is_minimal': False, 'source_label': '8400.2.a.dh', 'source_level': 8400, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1680.2.t.i', 'target_level': 1680, 'twist_class_label': '840.2.t.e', 'twist_class_level': 840, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1389655
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 86, 'source_is_minimal': False, 'source_label': '8400.2.a.dh', 'source_level': 8400, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2520.2.t.j', 'target_level': 2520, 'twist_class_label': '840.2.t.e', 'twist_class_level': 840, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1389656
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 86, 'source_is_minimal': False, 'source_label': '8400.2.a.dh', 'source_level': 8400, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '4200.2.a.bo', 'target_level': 4200, 'twist_class_label': '840.2.t.e', 'twist_class_level': 840, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1389657
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 86, 'source_is_minimal': False, 'source_label': '8400.2.a.dh', 'source_level': 8400, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '4200.2.a.bq', 'target_level': 4200, 'twist_class_label': '840.2.t.e', 'twist_class_level': 840, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1389658
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 86, 'source_is_minimal': False, 'source_label': '8400.2.a.dh', 'source_level': 8400, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '5040.2.t.ba', 'target_level': 5040, 'twist_class_label': '840.2.t.e', 'twist_class_level': 840, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1389659
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 86, 'source_is_minimal': False, 'source_label': '8400.2.a.dh', 'source_level': 8400, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 86, 'target_is_minimal': False, 'target_label': '8400.2.a.dh', 'target_level': 8400, 'twist_class_label': '840.2.t.e', 'twist_class_level': 840, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1389660
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 86, 'source_is_minimal': False, 'source_label': '8400.2.a.dh', 'source_level': 8400, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 89, 'target_is_minimal': False, 'target_label': '8400.2.a.dk', 'target_level': 8400, 'twist_class_label': '840.2.t.e', 'twist_class_level': 840, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4731450
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 382805968360054992, 'p': 2}
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id: 4731451
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 382805968360054992, 'p': 3}
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id: 4731452
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 382805968360054992, 'p': 5}
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id: 4731453
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 382805968360054992, 'p': 7}
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id: 4731454
{'charpoly_factorization': [[[-8, -20, 2, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 11}
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id: 4731455
{'charpoly_factorization': [[[8, -12, -2, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 13}
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id: 4731456
{'charpoly_factorization': [[[16, -16, 0, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 17}
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id: 4731457
{'charpoly_factorization': [[[-8, -12, 2, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 19}
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id: 4731458
{'charpoly_factorization': [[[-16, 8, 8, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 23}
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id: 4731459
{'charpoly_factorization': [[[104, -84, -2, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 29}
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id: 4731460
{'charpoly_factorization': [[[8, -12, -2, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 31}
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id: 4731461
{'charpoly_factorization': [[[-64, -48, 4, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 37}
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id: 4731462
{'charpoly_factorization': [[[-40, 52, -14, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 41}
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id: 4731463
{'charpoly_factorization': [[[-320, -16, 12, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 43}
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id: 4731464
{'charpoly_factorization': [[[-256, -64, 8, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 47}
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id: 4731465
{'charpoly_factorization': [[[472, -28, -14, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 53}
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id: 4731466
{'charpoly_factorization': [[[-256, -64, 8, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 59}
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id: 4731467
{'charpoly_factorization': [[[-536, -148, -2, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 61}
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id: 4731468
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 382805968360054992, 'p': 67}
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id: 4731469
{'charpoly_factorization': [[[-200, -100, -6, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 71}
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id: 4731470
{'charpoly_factorization': [[[760, -124, -6, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 73}
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id: 4731471
{'charpoly_factorization': [[[64, 80, -20, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 79}
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id: 4731472
{'charpoly_factorization': [[[-256, -64, 8, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 83}
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id: 4731473
{'charpoly_factorization': [[[200, -60, -2, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 89}
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id: 4731474
{'charpoly_factorization': [[[-344, 4, 14, 1], 1]], 'hecke_orbit_code': 382805968360054992, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 86, 'label': '8400.2.a.dh', 'level': 8400, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 281011000
{'hecke_orbit_code': 382805968360054992, 'n': 1, 'trace_an': 3}
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id: 281011001
{'hecke_orbit_code': 382805968360054992, 'n': 2, 'trace_an': 0}
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id: 281011002
{'hecke_orbit_code': 382805968360054992, 'n': 3, 'trace_an': -3}
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id: 281011003
{'hecke_orbit_code': 382805968360054992, 'n': 4, 'trace_an': 0}
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id: 281011004
{'hecke_orbit_code': 382805968360054992, 'n': 5, 'trace_an': 0}
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id: 281011005
{'hecke_orbit_code': 382805968360054992, 'n': 6, 'trace_an': 0}
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id: 281011006
{'hecke_orbit_code': 382805968360054992, 'n': 7, 'trace_an': -3}
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id: 281011007
{'hecke_orbit_code': 382805968360054992, 'n': 8, 'trace_an': 0}
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id: 281011008
{'hecke_orbit_code': 382805968360054992, 'n': 9, 'trace_an': 3}
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id: 281011009
{'hecke_orbit_code': 382805968360054992, 'n': 10, 'trace_an': 0}
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id: 281011010
{'hecke_orbit_code': 382805968360054992, 'n': 11, 'trace_an': -2}
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id: 281011011
{'hecke_orbit_code': 382805968360054992, 'n': 12, 'trace_an': 0}
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id: 281011012
{'hecke_orbit_code': 382805968360054992, 'n': 13, 'trace_an': 2}
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id: 281011013
{'hecke_orbit_code': 382805968360054992, 'n': 14, 'trace_an': 0}
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id: 281011014
{'hecke_orbit_code': 382805968360054992, 'n': 15, 'trace_an': 0}
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id: 281011015
{'hecke_orbit_code': 382805968360054992, 'n': 16, 'trace_an': 0}
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id: 281011016
{'hecke_orbit_code': 382805968360054992, 'n': 17, 'trace_an': 0}
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id: 281011017
{'hecke_orbit_code': 382805968360054992, 'n': 18, 'trace_an': 0}
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id: 281011018
{'hecke_orbit_code': 382805968360054992, 'n': 19, 'trace_an': -2}
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id: 281011019
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id: 281011980
{'hecke_orbit_code': 382805968360054992, 'n': 981, 'trace_an': -10}
-
id: 281011981
{'hecke_orbit_code': 382805968360054992, 'n': 982, 'trace_an': 0}
-
id: 281011982
{'hecke_orbit_code': 382805968360054992, 'n': 983, 'trace_an': 80}
-
id: 281011983
{'hecke_orbit_code': 382805968360054992, 'n': 984, 'trace_an': 0}
-
id: 281011984
{'hecke_orbit_code': 382805968360054992, 'n': 985, 'trace_an': 0}
-
id: 281011985
{'hecke_orbit_code': 382805968360054992, 'n': 986, 'trace_an': 0}
-
id: 281011986
{'hecke_orbit_code': 382805968360054992, 'n': 987, 'trace_an': -8}
-
id: 281011987
{'hecke_orbit_code': 382805968360054992, 'n': 988, 'trace_an': 0}
-
id: 281011988
{'hecke_orbit_code': 382805968360054992, 'n': 989, 'trace_an': 16}
-
id: 281011989
{'hecke_orbit_code': 382805968360054992, 'n': 990, 'trace_an': 0}
-
id: 281011990
{'hecke_orbit_code': 382805968360054992, 'n': 991, 'trace_an': 84}
-
id: 281011991
{'hecke_orbit_code': 382805968360054992, 'n': 992, 'trace_an': 0}
-
id: 281011992
{'hecke_orbit_code': 382805968360054992, 'n': 993, 'trace_an': -56}
-
id: 281011993
{'hecke_orbit_code': 382805968360054992, 'n': 994, 'trace_an': 0}
-
id: 281011994
{'hecke_orbit_code': 382805968360054992, 'n': 995, 'trace_an': 0}
-
id: 281011995
{'hecke_orbit_code': 382805968360054992, 'n': 996, 'trace_an': 0}
-
id: 281011996
{'hecke_orbit_code': 382805968360054992, 'n': 997, 'trace_an': -6}
-
id: 281011997
{'hecke_orbit_code': 382805968360054992, 'n': 998, 'trace_an': 0}
-
id: 281011998
{'hecke_orbit_code': 382805968360054992, 'n': 999, 'trace_an': 4}
-
id: 281011999
{'hecke_orbit_code': 382805968360054992, 'n': 1000, 'trace_an': 0}