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mf_newforms • Show schema
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{'Nk2': 40000, 'analytic_conductor': 79.85040202128039, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -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': [10000, 1, [8751, 2501, 9377], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2000, 'field_disc_factorization': [[2, 4], [5, 3]], 'field_poly': [5, 0, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 20, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, 6, 1, -4, 1]], [7, [-19, 8, 14, -8, 1]], [11, [-59, 82, -26, -2, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972567824, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': '10000.2.a.bb', 'level': 10000, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '50.2.e.a', 'nf_label': '4.4.2000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta _{1})q^{3}+(2-\\beta _{1}-\\beta _{3})q^{7}+(1+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10000.2.a', 'trace_display': [0, 4, 0, 8], 'trace_hash': 197949037526416111, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.688', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '37.579', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '566.322', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [4, 0, 4, 0, 0, 0, 8, 0, 2, 0, 2, 0, -14, 0, 0, 0, -8, 0, 0, 0, -2, 0, 4, 0, 0, 0, 10, 0, -10, 0, -8, 0, -8, 0, 0, 0, -18, 0, -14, 0, -12, 0, 14, 0, 0, 0, 8, 0, 8, 0, -8, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, -16, 0, 0, 0, -2, 0, -6, 0, -8, 0, -24, 0, 0, 0, -6, 0, -20, 0, 4, 0, 14, 0, 0, 0, -20, 0, -20, 0, -18, 0, -8, 0, 0, 0, -28, 0, -14, 0, -12, 0, 4, 0, 0, 0, -2, 0, 10, 0, -28, 0, -4, 0, 0, 0, -12, 0, -26, 0, 12, 0, -32, 0, 0, 0, -12, 0, 34, 0, 2, 0, 10, 0, 0, 0, -8, 0, -10, 0, 38, 0, -32, 0, 0, 0, -32, 0, -10, 0, -28, 0, -4, 0, 0, 0, -8, 0, -24, 0, 8, 0, 14, 0, 0, 0, -12, 0, 12, 0, -10, 0, -4, 0, 0, 0, 0, 0, 10, 0, -12, 0, -12, 0, 0, 0, 16, 0, 10, 0, -8, 0, -24, 0, 0, 0, 32, 0, 10, 0, -22, 0, -10, 0, 0, 0, -28, 0, -30, 0, 2, 0, 12, 0, 0, 0, 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mf_hecke_nf • Show schema
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-13], [-5, -11, -17, -41], [21, 20, -3, -22], [-20, -32, -6, 14], [-28, -12, -51, 8]], 'char_orbit_index': 1, 'field_poly': [5, 0, -5, 0, 1], 'hecke_orbit_code': 121597189972567824, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 0, 1, 0], [0, 3, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, 0, 1, 0], [0, -3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '10000.2.a.bb', 'level': 10000, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1]], 58, 11], [[[2, -1], [5, -1]], 54, 11], [[[2, 1], [5, -1]], 62, 7], [[[2, -1], [5, 1]], 58, 15]], 'ALdims': [58, 62, 58, 54], 'Nk2': 40000, 'analytic_conductor': 79.85040202128039, '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': [10000, 1, [8751, 2501, 9377], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1411, 'dim': 232, 'eis_dim': 179, 'eis_new_dim': 16, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33564432, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 16, 16], 'label': '10000.2.a', 'level': 10000, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 1590, 'mf_new_dim': 248, 'num_forms': 44, 'plus_dim': 112, 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mf_twists_nf • Show schema
Hide schema
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id: 1456159
{'conductor': 100, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '50.2.e.a', 'target_level': 50, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1456160
{'conductor': 100, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '250.2.d.b', 'target_level': 250, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1456161
{'conductor': 100, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '250.2.d.c', 'target_level': 250, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1456162
{'conductor': 100, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '250.2.e.a', 'target_level': 250, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1456163
{'conductor': 25, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.2.y.a', 'target_level': 400, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1456164
{'conductor': 300, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '450.2.l.b', 'target_level': 450, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '300.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1456165
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1250.2.a.h', 'target_level': 1250, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1456166
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1250.2.a.i', 'target_level': 1250, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1456167
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1250.2.b.c', 'target_level': 1250, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1456168
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '10000.2.a.o', 'target_level': 10000, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1456169
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '10000.2.a.bb', 'source_level': 10000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '10000.2.a.bb', 'target_level': 10000, 'twist_class_label': '50.2.e.a', 'twist_class_level': 50, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5181850
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 121597189972567824, 'p': 2}
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id: 5181851
{'charpoly_factorization': [[[1, 6, 1, -4, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 3}
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id: 5181852
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 121597189972567824, 'p': 5}
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id: 5181853
{'charpoly_factorization': [[[-19, 8, 14, -8, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 7}
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id: 5181854
{'charpoly_factorization': [[[-59, 82, -26, -2, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 11}
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id: 5181855
{'charpoly_factorization': [[[41, 114, 66, 14, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 13}
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id: 5181856
{'charpoly_factorization': [[[1, 12, 19, 8, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 17}
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id: 5181857
{'charpoly_factorization': [[[5, -10, -15, 0, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 19}
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id: 5181858
{'charpoly_factorization': [[[1, -4, -14, -4, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 23}
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id: 5181859
{'charpoly_factorization': [[[-95, -90, 10, 10, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 29}
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id: 5181860
{'charpoly_factorization': [[[-19, -48, -6, 8, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 31}
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id: 5181861
{'charpoly_factorization': [[[241, 272, 109, 18, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 37}
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id: 5181862
{'charpoly_factorization': [[[-5339, -1612, -86, 12, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 41}
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id: 5181863
{'charpoly_factorization': [[[-1919, 726, -14, -14, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 43}
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id: 5181864
{'charpoly_factorization': [[[-2939, 1208, -106, -8, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 47}
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id: 5181865
{'charpoly_factorization': [[[-64, -96, -24, 4, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 53}
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id: 5181866
{'charpoly_factorization': [[[1280, 0, -80, 0, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 59}
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id: 5181867
{'charpoly_factorization': [[[181, -12, -71, 2, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 61}
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id: 5181868
{'charpoly_factorization': [[[-59, -82, -26, 2, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 67}
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id: 5181869
{'charpoly_factorization': [[[1021, -288, -86, 8, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 71}
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id: 5181870
{'charpoly_factorization': [[[-304, -96, 136, 24, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 73}
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id: 5181871
{'charpoly_factorization': [[[-4720, -1040, 40, 20, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 79}
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id: 5181872
{'charpoly_factorization': [[[-4139, 1766, -114, -14, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 83}
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id: 5181873
{'charpoly_factorization': [[[-20, 10, 1], 2]], 'hecke_orbit_code': 121597189972567824, 'p': 89}
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id: 5181874
{'charpoly_factorization': [[[361, 832, 259, 28, 1], 1]], 'hecke_orbit_code': 121597189972567824, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '10000.2.a.bb', 'level': 10000, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 262775000
{'hecke_orbit_code': 121597189972567824, 'n': 1, 'trace_an': 4}
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id: 262775001
{'hecke_orbit_code': 121597189972567824, 'n': 2, 'trace_an': 0}
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id: 262775002
{'hecke_orbit_code': 121597189972567824, 'n': 3, 'trace_an': 4}
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id: 262775003
{'hecke_orbit_code': 121597189972567824, 'n': 4, 'trace_an': 0}
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id: 262775004
{'hecke_orbit_code': 121597189972567824, 'n': 5, 'trace_an': 0}
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id: 262775005
{'hecke_orbit_code': 121597189972567824, 'n': 6, 'trace_an': 0}
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id: 262775006
{'hecke_orbit_code': 121597189972567824, 'n': 7, 'trace_an': 8}
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id: 262775007
{'hecke_orbit_code': 121597189972567824, 'n': 8, 'trace_an': 0}
-
id: 262775008
{'hecke_orbit_code': 121597189972567824, 'n': 9, 'trace_an': 2}
-
id: 262775009
{'hecke_orbit_code': 121597189972567824, 'n': 10, 'trace_an': 0}
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id: 262775010
{'hecke_orbit_code': 121597189972567824, 'n': 11, 'trace_an': 2}
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id: 262775011
{'hecke_orbit_code': 121597189972567824, 'n': 12, 'trace_an': 0}
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id: 262775012
{'hecke_orbit_code': 121597189972567824, 'n': 13, 'trace_an': -14}
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id: 262775013
{'hecke_orbit_code': 121597189972567824, 'n': 14, 'trace_an': 0}
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id: 262775014
{'hecke_orbit_code': 121597189972567824, 'n': 15, 'trace_an': 0}
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id: 262775015
{'hecke_orbit_code': 121597189972567824, 'n': 16, 'trace_an': 0}
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id: 262775016
{'hecke_orbit_code': 121597189972567824, 'n': 17, 'trace_an': -8}
-
id: 262775017
{'hecke_orbit_code': 121597189972567824, 'n': 18, 'trace_an': 0}
-
id: 262775018
{'hecke_orbit_code': 121597189972567824, 'n': 19, 'trace_an': 0}
-
id: 262775019
{'hecke_orbit_code': 121597189972567824, 'n': 20, 'trace_an': 0}
-
id: 262775020
{'hecke_orbit_code': 121597189972567824, 'n': 21, 'trace_an': -2}
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id: 262775021
{'hecke_orbit_code': 121597189972567824, 'n': 22, 'trace_an': 0}
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