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mf_newforms • Show schema
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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': 8, 'field_disc': 3996180000000, 'field_disc_factorization': [[2, 8], [3, 2], [5, 7], [149, 2]], 'field_poly': [45, 0, -105, 0, 70, 0, -15, 0, 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': 1, 'hecke_cutters': [[2, [45, 0, -105, 0, 70, 0, -15, 0, 1]], [7, [20, -30, -5, 5, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717822457, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5625.2.a.z', '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': '5625.2.a.z', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(-1-\\beta _{2}+\\beta _{4}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5625.2.a', 'trace_display': [0, 0, 0, -10], 'trace_hash': 977535061295727278, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.100', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
Hide schema
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29, 0, -11, 0], [0, 14, 0, 0, 0, 20, 0, 8], [0, 11, 0, -1, 0, -6, 0, -5], [-19, 0, -19, 0, 49, 0, -10, 0], [0, -5, 0, 7, 0, -4, 0, 6], [-18, 0, 12, 0, -17, 0, 5, 0], [-43, 0, 5, 0, -17, 0, 12, 0], [0, 13, 0, -5, 0, -14, 0, 1], [-23, 0, 7, 0, -17, 0, 13, 0], [0, -7, 0, 9, 0, -2, 0, 7], [-50, 0, -2, 0, -35, 0, 4, 0], [0, 14, 0, 4, 0, 22, 0, 1], [-33, 0, 13, 0, 18, 0, 6, 0], [0, 24, 0, 12, 0, -10, 0, -2], [0, 32, 0, 6, 0, 2, 0, -6], [-6, 0, -30, 0, 1, 0, -1, 0], [-2, 0, 4, 0, 19, 0, -5, 0], [0, 11, 0, 3, 0, -14, 0, 7], [-3, 0, 16, 0, -19, 0, 0, 0], [0, 12, 0, 16, 0, 12, 0, -2], [-16, 0, -16, 0, 13, 0, -16, 0], [0, 22, 0, 6, 0, 20, 0, -8], [0, -22, 0, 4, 0, -20, 0, 6], [17, 0, 17, 0, -17, 0, 18, 0], [43, 0, 8, 0, 53, 0, -3, 0], [0, -23, 0, -7, 0, -2, 0, 15], [0, -21, 0, -15, 0, 8, 0, 4], [36, 0, 12, 0, 7, 0, -13, 0], [0, 16, 0, 4, 0, -4, 0, 8], [0, 6, 0, -4, 0, -2, 0, 4], [0, 12, 0, 4, 0, 6, 0, 10], [77, 0, -6, 0, 23, 0, 2, 0], [0, -8, 0, 14, 0, -16, 0, -7], [0, -13, 0, -5, 0, -6, 0, 1], [38, 0, 3, 0, 41, 0, -17, 0], [0, -31, 0, 9, 0, -4, 0, 2], [0, -25, 0, -7, 0, 8, 0, -4], [0, 17, 0, -9, 0, 22, 0, 5], [-2, 0, -8, 0, -17, 0, -12, 0], [0, -11, 0, 5, 0, -2, 0, 15]], 'char_orbit_index': 1, 'field_poly': [45, 0, -105, 0, 70, 0, -15, 0, 1], 'hecke_orbit_code': 112589990717822457, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 6, 6, 1, 3], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [4, 0, 1, 0, 0, 0, 0, 0], [0, 6, 0, 1, 0, 0, 0, 0], [23, 0, 8, 0, 0, 0, 1, 0], [0, 39, 0, 8, 0, 2, 0, 1], [149, 0, 56, 0, 6, 0, 12, 0], [0, 261, 0, 56, 0, 30, 0, 12]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-4, 0, 1, 0, 0, 0, 0, 0], [0, -6, 0, 1, 0, 0, 0, 0], [-33, 0, 40, 0, -12, 0, 1, 0], [0, -33, 0, 40, 0, -12, 0, 1], [9, 0, -8, 0, 1, 0, 0, 0], [0, 60, 0, -64, 0, 15, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '5625.2.a.z', 'level': 5625, 'maxp': 2999, 'weight': 2}
-
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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
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id: 1267730
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '5625.2.a.z', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 26, 'target_is_minimal': True, 'target_label': '5625.2.a.z', 'target_level': 5625, 'twist_class_label': '5625.2.a.z', 'twist_class_level': 5625, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1267731
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '5625.2.a.z', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 26, 'target_is_minimal': True, 'target_label': '5625.2.a.z', 'target_level': 5625, 'twist_class_label': '5625.2.a.z', 'twist_class_level': 5625, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267732
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '5625.2.a.z', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 28, 'target_is_minimal': True, 'target_label': '5625.2.a.bb', 'target_level': 5625, 'twist_class_label': '5625.2.a.z', 'twist_class_level': 5625, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267733
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '5625.2.a.z', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 28, 'target_is_minimal': True, 'target_label': '5625.2.a.bb', 'target_level': 5625, 'twist_class_label': '5625.2.a.z', 'twist_class_level': 5625, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3953000
{'charpoly_factorization': [[[45, 0, -105, 0, 70, 0, -15, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 2}
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id: 3953001
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 112589990717822457, 'p': 3}
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id: 3953002
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 112589990717822457, 'p': 5}
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id: 3953003
{'charpoly_factorization': [[[20, -30, -5, 5, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 7}
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id: 3953004
{'charpoly_factorization': [[[18000, 0, -7500, 0, 1075, 0, -60, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 11}
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id: 3953005
{'charpoly_factorization': [[[-5, -35, -10, 5, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 13}
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id: 3953006
{'charpoly_factorization': [[[87120, 0, -34260, 0, 3115, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 17}
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id: 3953007
{'charpoly_factorization': [[[41, 9, -14, -1, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 19}
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id: 3953008
{'charpoly_factorization': [[[933120, 0, -181440, 0, 8955, 0, -165, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 23}
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id: 3953009
{'charpoly_factorization': [[[18000, 0, -24000, 0, 4675, 0, -135, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 29}
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id: 3953010
{'charpoly_factorization': [[[41, -13, -16, 3, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 31}
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id: 3953011
{'charpoly_factorization': [[[720, 720, 215, 25, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 37}
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id: 3953012
{'charpoly_factorization': [[[18000, 0, -577500, 0, 24175, 0, -285, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 41}
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id: 3953013
{'charpoly_factorization': [[[745, 0, -75, 0, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 43}
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id: 3953014
{'charpoly_factorization': [[[11520, 0, -12480, 0, 2080, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 47}
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id: 3953015
{'charpoly_factorization': [[[11520, 0, -16320, 0, 4000, 0, -180, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 53}
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id: 3953016
{'charpoly_factorization': [[[30258000, 0, -1648500, 0, 33475, 0, -300, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 59}
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id: 3953017
{'charpoly_factorization': [[[1331, 983, 254, 27, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 61}
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id: 3953018
{'charpoly_factorization': [[[3295, -545, -160, 5, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 67}
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id: 3953019
{'charpoly_factorization': [[[4608000, 0, -744000, 0, 26275, 0, -295, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 71}
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id: 3953020
{'charpoly_factorization': [[[-8080, -2140, -85, 15, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 73}
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id: 3953021
{'charpoly_factorization': [[[-909, 636, -19, -14, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 79}
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id: 3953022
{'charpoly_factorization': [[[28512720, 0, -3037620, 0, 59395, 0, -420, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 83}
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id: 3953023
{'charpoly_factorization': [[[7200000, 0, -7350000, 0, 116875, 0, -600, 0, 1], 1]], 'hecke_orbit_code': 112589990717822457, 'p': 89}
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id: 3953024
{'charpoly_factorization': [[[-5, 90, -45, 0, 1], 2]], 'hecke_orbit_code': 112589990717822457, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '5625.2.a.z', '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: 259121000
{'hecke_orbit_code': 112589990717822457, 'n': 1, 'trace_an': 8}
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id: 259121001
{'hecke_orbit_code': 112589990717822457, 'n': 2, 'trace_an': 0}
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id: 259121002
{'hecke_orbit_code': 112589990717822457, 'n': 3, 'trace_an': 0}
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id: 259121003
{'hecke_orbit_code': 112589990717822457, 'n': 4, 'trace_an': 14}
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id: 259121004
{'hecke_orbit_code': 112589990717822457, 'n': 5, 'trace_an': 0}
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id: 259121005
{'hecke_orbit_code': 112589990717822457, 'n': 6, 'trace_an': 0}
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id: 259121006
{'hecke_orbit_code': 112589990717822457, 'n': 7, 'trace_an': -10}
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id: 259121970
{'hecke_orbit_code': 112589990717822457, 'n': 971, 'trace_an': 0}
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id: 259121971
{'hecke_orbit_code': 112589990717822457, 'n': 972, 'trace_an': 0}
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id: 259121972
{'hecke_orbit_code': 112589990717822457, 'n': 973, 'trace_an': 10}
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id: 259121973
{'hecke_orbit_code': 112589990717822457, 'n': 974, 'trace_an': 0}
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id: 259121974
{'hecke_orbit_code': 112589990717822457, 'n': 975, 'trace_an': 0}
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id: 259121975
{'hecke_orbit_code': 112589990717822457, 'n': 976, 'trace_an': -176}
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id: 259121976
{'hecke_orbit_code': 112589990717822457, 'n': 977, 'trace_an': 0}
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id: 259121977
{'hecke_orbit_code': 112589990717822457, 'n': 978, 'trace_an': 0}
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id: 259121978
{'hecke_orbit_code': 112589990717822457, 'n': 979, 'trace_an': 180}
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id: 259121979
{'hecke_orbit_code': 112589990717822457, 'n': 980, 'trace_an': 0}
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id: 259121980
{'hecke_orbit_code': 112589990717822457, 'n': 981, 'trace_an': 0}
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id: 259121981
{'hecke_orbit_code': 112589990717822457, 'n': 982, 'trace_an': -120}
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id: 259121982
{'hecke_orbit_code': 112589990717822457, 'n': 983, 'trace_an': 0}
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id: 259121983
{'hecke_orbit_code': 112589990717822457, 'n': 984, 'trace_an': 0}
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id: 259121984
{'hecke_orbit_code': 112589990717822457, 'n': 985, 'trace_an': 0}
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id: 259121985
{'hecke_orbit_code': 112589990717822457, 'n': 986, 'trace_an': 0}
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id: 259121986
{'hecke_orbit_code': 112589990717822457, 'n': 987, 'trace_an': 0}
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id: 259121987
{'hecke_orbit_code': 112589990717822457, 'n': 988, 'trace_an': -180}
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id: 259121988
{'hecke_orbit_code': 112589990717822457, 'n': 989, 'trace_an': 0}
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id: 259121989
{'hecke_orbit_code': 112589990717822457, 'n': 990, 'trace_an': 0}
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id: 259121990
{'hecke_orbit_code': 112589990717822457, 'n': 991, 'trace_an': 106}
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id: 259121991
{'hecke_orbit_code': 112589990717822457, 'n': 992, 'trace_an': 0}
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id: 259121992
{'hecke_orbit_code': 112589990717822457, 'n': 993, 'trace_an': 0}
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id: 259121993
{'hecke_orbit_code': 112589990717822457, 'n': 994, 'trace_an': 200}
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id: 259121994
{'hecke_orbit_code': 112589990717822457, 'n': 995, 'trace_an': 0}
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id: 259121995
{'hecke_orbit_code': 112589990717822457, 'n': 996, 'trace_an': 0}
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id: 259121996
{'hecke_orbit_code': 112589990717822457, 'n': 997, 'trace_an': 50}
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id: 259121997
{'hecke_orbit_code': 112589990717822457, 'n': 998, 'trace_an': 0}
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id: 259121998
{'hecke_orbit_code': 112589990717822457, 'n': 999, 'trace_an': 0}
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id: 259121999
{'hecke_orbit_code': 112589990717822457, 'n': 1000, 'trace_an': 0}