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{'Nk2': 22500, 'analytic_conductor': 44.91585113697022, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -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': [5625, 1, [4376, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 1, 1]], [7, [-11, -1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288301049, 'hecke_ring_generator_nbound': 2, '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': '5625.2.a.c', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '625.2.a.a', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+(-1+\\beta )q^{4}+(-1+3\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5625.2.a', 'trace_display': [-1, 0, 0, 1], 'trace_hash': 2293784934986512519, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.205', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.073', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.790', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 0], [-1, 1], [0, 0], [0, 0], [-1, 3], [-1, 2], [0, 0], [0, 0], [1, -1], [0, 0], [1, -4], [-3, -2], [0, 0], [0, -3], [-5, 4], [0, 0], [4, -3], [0, 0], [0, 0], [1, 0], [-3, 3], [0, 0], [0, 0], [4, 3], [0, 0], [4, -1], [6, -2], [0, 0], [2, 0], [5, -1], [0, 0], [-4, 1], [0, 0], [0, 0], [3, 0], [3, -1], [0, 0], [0, 0], [0, -4], [0, 0], [6, -4], [-2, 1], [0, 0], [-3, 0], [-10, -1], [0, 0], [3, 3], [0, 0], [0, 0], [-5, 1], [-2, -4], [0, 0], [0, 0], [7, 1], [0, 0], [2, -4], [1, 8], [0, 0], [-4, -3], [0, -2], [0, 0], [1, 2], [0, 0], [0, 0], [-5, -4], [9, -5], [0, 0], [0, 0], [-8, 7], [0, 0], [-5, 3], [0, -3], [0, 0], [-7, 4], [-4, 1], [0, 0], [3, -6], [0, 0], [0, 0], [4, 4], [0, -8], [0, 0], [0, 0], [4, -2], [0, 0], [-3, 1], [-2, -1], [0, 0], [-13, -5], [6, -3], [0, 0], [1, 11], [0, 0], [0, 0], [-9, -1], [-3, -6], [0, 0], [0, 0]], 'ap': [[0, -1], [0, 0], [0, 0], [-1, 3], [1, -1], [1, -4], [-5, 4], [4, -3], [-3, 3], [6, -2], [2, 0], [3, 0], [0, -4], [6, -4], [-10, 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-7], [56, -22], [41, 12], [96, -6], [-63, -18], [-31, 0], [-3, 36], [29, -35], [5, 19], [-41, -1], [-38, 15], [37, 32], [-3, 47], [34, -38], [46, -51], [-40, 19], [-65, -8], [6, 48], [15, 26], [25, 44], [-3, -34], [-24, -9], [42, 5], [37, -2], [17, 31], [-36, 26], [-51, 62]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 9007199288301049, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '5625.2.a.c', 'level': 5625, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 54, 9], [[[3, 1], [5, 1]], 36, 5], [[[3, 1], [5, -1]], 44, 4], [[[3, -1], [5, 1]], 58, 14]], 'ALdims': [36, 44, 58, 54], 'Nk2': 22500, 'analytic_conductor': 44.91585113697022, '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': [5625, 1, [4376, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 691, 'dim': 192, 'eis_dim': 119, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33560057, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 24], 'label': '5625.2.a', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 810, 'mf_new_dim': 208, 'num_forms': 32, 'plus_dim': 90, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 1500, 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mf_twists_nf • Show schema
Hide schema
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id: 1267535
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '625.2.a.a', 'target_level': 625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1267536
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '625.2.a.d', 'target_level': 625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267537
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '625.2.b.b', 'target_level': 625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1267538
{'conductor': 75, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '625.2.d.c', 'target_level': 625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '75.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1267539
{'conductor': 75, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '625.2.d.e', 'target_level': 625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '75.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1267540
{'conductor': 75, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '625.2.d.f', 'target_level': 625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '75.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1267541
{'conductor': 75, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '625.2.d.i', 'target_level': 625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '75.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1267542
{'conductor': 75, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '625.2.e.e', 'target_level': 625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '75.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1267543
{'conductor': 75, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '625.2.e.f', 'target_level': 625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '75.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1267544
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '5625.2.a.c', 'target_level': 5625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1267545
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '5625.2.a.e', 'target_level': 5625, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267546
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '10000.2.a.b', 'target_level': 10000, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267547
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '5625.2.a.c', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '10000.2.a.m', 'target_level': 10000, 'twist_class_label': '625.2.a.a', 'twist_class_level': 625, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3952325
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 2}
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id: 3952326
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199288301049, 'p': 3}
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id: 3952327
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199288301049, 'p': 5}
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id: 3952328
{'charpoly_factorization': [[[-11, -1, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 7}
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id: 3952329
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 11}
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id: 3952330
{'charpoly_factorization': [[[-19, 2, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 13}
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id: 3952331
{'charpoly_factorization': [[[-11, 6, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 17}
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id: 3952332
{'charpoly_factorization': [[[-5, -5, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 19}
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id: 3952333
{'charpoly_factorization': [[[-9, 3, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 23}
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id: 3952334
{'charpoly_factorization': [[[20, -10, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 29}
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id: 3952335
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007199288301049, 'p': 31}
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id: 3952336
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 9007199288301049, 'p': 37}
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id: 3952337
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 41}
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id: 3952338
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 43}
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id: 3952339
{'charpoly_factorization': [[[109, 21, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 47}
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id: 3952340
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 53}
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id: 3952341
{'charpoly_factorization': [[[-55, -10, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 59}
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id: 3952342
{'charpoly_factorization': [[[19, 11, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 61}
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id: 3952343
{'charpoly_factorization': [[[29, 14, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 67}
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id: 3952344
{'charpoly_factorization': [[[-41, 9, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 71}
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id: 3952345
{'charpoly_factorization': [[[1, 7, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 73}
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id: 3952346
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 79}
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id: 3952347
{'charpoly_factorization': [[[-64, 8, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 83}
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id: 3952348
{'charpoly_factorization': [[[5, 5, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 89}
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id: 3952349
{'charpoly_factorization': [[[89, 19, 1], 1]], 'hecke_orbit_code': 9007199288301049, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '5625.2.a.c', 'level': 5625, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 105799000
{'hecke_orbit_code': 9007199288301049, 'n': 1, 'trace_an': 2}
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id: 105799001
{'hecke_orbit_code': 9007199288301049, 'n': 2, 'trace_an': -1}
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id: 105799002
{'hecke_orbit_code': 9007199288301049, 'n': 3, 'trace_an': 0}
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id: 105799003
{'hecke_orbit_code': 9007199288301049, 'n': 4, 'trace_an': -1}
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id: 105799004
{'hecke_orbit_code': 9007199288301049, 'n': 5, 'trace_an': 0}
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id: 105799005
{'hecke_orbit_code': 9007199288301049, 'n': 6, 'trace_an': 0}
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id: 105799006
{'hecke_orbit_code': 9007199288301049, 'n': 7, 'trace_an': 1}
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id: 105799007
{'hecke_orbit_code': 9007199288301049, 'n': 8, 'trace_an': 0}
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id: 105799008
{'hecke_orbit_code': 9007199288301049, 'n': 9, 'trace_an': 0}
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id: 105799009
{'hecke_orbit_code': 9007199288301049, 'n': 10, 'trace_an': 0}
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id: 105799010
{'hecke_orbit_code': 9007199288301049, 'n': 11, 'trace_an': 1}
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id: 105799011
{'hecke_orbit_code': 9007199288301049, 'n': 12, 'trace_an': 0}
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id: 105799012
{'hecke_orbit_code': 9007199288301049, 'n': 13, 'trace_an': -2}
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id: 105799013
{'hecke_orbit_code': 9007199288301049, 'n': 14, 'trace_an': -8}
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id: 105799014
{'hecke_orbit_code': 9007199288301049, 'n': 15, 'trace_an': 0}
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id: 105799015
{'hecke_orbit_code': 9007199288301049, 'n': 16, 'trace_an': -3}
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id: 105799016
{'hecke_orbit_code': 9007199288301049, 'n': 17, 'trace_an': -6}
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id: 105799017
{'hecke_orbit_code': 9007199288301049, 'n': 18, 'trace_an': 0}
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id: 105799999
{'hecke_orbit_code': 9007199288301049, 'n': 1000, 'trace_an': 0}