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{'Nk2': 24100, 'analytic_conductor': 48.10986721782143, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [241, -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': [6025, 1, [2652, 2176], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 11, 'field_disc': 5798917300692821, 'field_disc_factorization': [[2371, 1], [20543, 1], [119056057, 1]], 'field_poly': [-1, -5, 1, 31, 14, -62, -28, 43, 15, -11, -2, 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': [[2, [19, 11, -120, -31, 185, 15, -121, 7, 36, -6, -4, 1]], [3, [-4, 65, 72, -298, -69, 371, -58, -148, 56, 11, -8, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797783433, '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': '6025.2.a.g', 'level': 6025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 241], 'level_radical': 1205, 'minimal_twist': '1205.2.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1}+\\beta _{2})q^{2}+(1+\\beta _{2}+\\beta _{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 11, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6025.2.a', 'trace_display': [4, 8, 0, 9], 'trace_hash': 2145381508305649828, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.117', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
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-13, 17, 6, 3, 6, 6], [2, 7, 5, 9, 21, -20, 12, -6, -6, -9, -3], [-35, 5, 2, 18, -14, 0, -20, -2, 6, -4, 14], [-11, -11, 1, 0, 15, -38, 18, -13, 8, -11, -23], [34, -4, 18, 11, 10, 1, -9, -2, 0, -5, 4], [22, -18, -13, -16, 1, -4, 13, 9, -2, 10, -1], [-31, -17, -8, 11, 4, 3, -12, 3, -7, -7, 12], [-28, -2, 0, 17, -11, 4, -16, -6, -5, -3, -3], [18, -12, -5, 24, -6, 15, -8, -1, 2, 14, 10], [3, -5, -9, -3, -13, 19, -22, 10, -5, -5, 4], [26, 2, 12, 8, -17, 22, -24, 1, -8, -9, 26], [0, 19, -1, 1, -16, -6, -7, 3, 9, -9, 1], [2, 7, -10, 5, -7, 21, -9, 5, -17, -3, 10], [2, -7, 5, -1, -19, 28, -10, 6, -1, 6, 18], [14, -8, -4, -5, -7, -1, -9, 7, 2, 2, 4], [26, -2, 1, -17, -13, -7, 6, 1, 0, 12, 6], [2, 27, -14, -7, 1, -12, 6, 7, -9, 10, -2], [19, -1, 16, 16, 6, 1, -12, 7, -11, 3, -8], [4, 3, 3, 25, 6, 24, -4, 3, 1, -4, 13], [23, -29, 13, 1, 9, -15, 11, -8, -10, 12, 0], [-34, -2, 10, 13, 2, -9, -10, 6, -4, -7, -13], [11, 0, 14, 4, -13, -1, -7, 8, -9, -10, -4], [-4, -24, 19, 20, -16, -2, -17, 4, 2, -4, 10], [-6, -14, 12, 14, -6, -3, -25, -6, 2, -16, -3], [3, 5, 30, -2, -6, -21, 10, -14, 15, -16, -8], [-5, -14, -5, 34, 17, 2, -16, -3, -21, -7, 14], [-20, -1, 10, 4, 0, -30, 16, -19, 18, -21, -15], [-15, -7, 6, 9, -8, -3, -23, 0, 3, -28, -5], [3, -2, -15, 4, 11, -3, -15, -2, -16, 1, -2], [-5, 3, 2, -14, -9, -13, 20, 0, 7, 15, -13], [3, 9, -22, -12, 11, 11, 19, 18, -24, 36, -5], [-22, 25, -22, -23, 6, -6, 7, 4, -5, 10, -14], [17, -4, 13, 3, -7, -10, 12, 8, 3, 1, 9], [13, 19, -1, -4, 9, -19, 16, -3, -5, -8, -16], [10, -6, 0, -32, -8, 10, -2, 2, -4, 3, -3], [13, -2, -13, -12, -14, 22, 10, 8, 11, 12, 0], [-6, 8, -2, 4, 3, -7, -7, -7, 1, -9, -3], [-34, 39, -30, -23, 3, -2, 9, 7, 7, 4, -17], [-10, -9, 1, -2, -5, 11, 3, 11, -3, 10, -4], [10, 3, -27, -1, 1, 0, 10, 12, -1, 18, 10], [10, -24, 16, 0, -21, 14, -16, 0, 4, -4, 18], [25, -11, 9, -6, -9, 10, -4, 12, -5, 13, -4], [-23, 1, 0, -10, -4, -1, 8, 17, 1, 12, -7], [-3, -10, -5, -3, 13, -9, -3, 0, -24, -17, -16], [-7, -1, 17, 3, -20, 11, -17, -10, -9, -15, 9], [-15, 4, -1, -16, -11, 14, -5, 8, -2, -1, 2], [-16, 17, -17, -2, 20, -11, -3, -2, -23, -12, -9], [14, 9, -15, 3, -2, 13, -3, 14, -19, 1, 8]], 'char_orbit_index': 1, 'field_poly': [-1, -5, 1, 31, 14, -62, -28, 43, 15, -11, -2, 1], 'hecke_orbit_code': 27021597797783433, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [1, 6, -2, 1, 1, 1, 0, 0, 0, 1, 1], [10, 10, -2, 8, 7, 1, 0, 0, -1, 2, 1], [14, 40, -15, 14, 11, 10, -2, 1, -3, 11, 10], [67, 86, -25, 63, 50, 18, -6, 3, -17, 27, 17], [138, 290, -113, 144, 103, 89, -32, 17, -52, 104, 87], [503, 711, -247, 516, 377, 211, -99, 52, -203, 283, 196], [1232, 2209, -893, 1341, 907, 791, -374, 203, -622, 950, 754], [3987, 5815, -2248, 4332, 2963, 2122, -1155, 622, -2112, 2710, 1956]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, 1, 31, 14, -62, -28, 43, 15, -11, -2, 1], [17, 26, -109, -118, 220, 155, -157, -71, 42, 9, -4], [-19, -27, 110, 118, -220, -155, 157, 71, -42, -9, 4], [-17, -37, 132, 221, -349, -315, 280, 148, -80, -19, 8], [30, 78, -174, -366, 390, 441, -303, -187, 88, 23, -9], [-32, -68, 242, 367, -611, -505, 477, 235, -133, -30, 13], [-39, -93, 261, 471, -630, -609, 492, 271, -140, -34, 14], [-53, -117, 364, 588, -849, -764, 649, 342, -182, -43, 18], [61, 151, -435, -780, 1074, 1023, -843, -460, 240, 58, -24]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 11, 'label': '6025.2.a.g', 'level': 6025, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[5, -1], [241, 1]], 106, 2], [[[5, -1], [241, -1]], 94, 6], [[[5, 1], [241, 1]], 87, 4], [[[5, 1], [241, -1]], 93, 5]], 'ALdims': [87, 93, 106, 94], 'Nk2': 24100, 'analytic_conductor': 48.10986721782143, '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': [6025, 1, [2652, 2176], [1, 1]], 'conrey_index': 1, 'cusp_dim': 599, 'dim': 380, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33560457, 'hecke_orbit_dims': [2, 2, 2, 2, 5, 7, 11, 12, 15, 25, 25, 40, 40, 40, 40, 46, 66], 'label': '6025.2.a', 'level': 6025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 241], 'level_radical': 1205, 'mf_dim': 610, 'mf_new_dim': 380, 'num_forms': 17, 'plus_dim': 181, 'prim_orbit_index': 1, 'relative_dim': 380, 'sturm_bound': 1210, 'trace_bound': 3, 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mf_twists_nf • Show schema
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id: 1285288
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 11, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '6025.2.a.g', 'source_level': 6025, 'target_char_orbit': 1, 'target_dim': 11, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1205.2.a.b', 'target_level': 1205, 'twist_class_label': '1205.2.a.b', 'twist_class_level': 1205, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1285289
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 11, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '6025.2.a.g', 'source_level': 6025, 'target_char_orbit': 1, 'target_dim': 11, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '6025.2.a.g', 'target_level': 6025, 'twist_class_label': '1205.2.a.b', 'twist_class_level': 1205, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4066850
{'charpoly_factorization': [[[19, 11, -120, -31, 185, 15, -121, 7, 36, -6, -4, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 2}
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id: 4066851
{'charpoly_factorization': [[[-4, 65, 72, -298, -69, 371, -58, -148, 56, 11, -8, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 3}
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id: 4066852
{'charpoly_factorization': [[[0, 1], 11]], 'hecke_orbit_code': 27021597797783433, 'p': 5}
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id: 4066853
{'charpoly_factorization': [[[9356, 10127, -10186, -8767, 5251, 2605, -1435, -273, 187, 0, -9, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 7}
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id: 4066854
{'charpoly_factorization': [[[2368, -7011, -1558, 12305, -3225, -5380, 1708, 843, -176, -59, 3, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 11}
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id: 4066855
{'charpoly_factorization': [[[-38, -681, 13378, -40567, 24679, 13638, -8404, -267, 583, -46, -9, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 13}
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id: 4066856
{'charpoly_factorization': [[[11574, -612393, -120326, 244560, 38418, -36506, -4563, 2528, 231, -81, -4, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 17}
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id: 4066857
{'charpoly_factorization': [[[-42248, -1191399, 9335337, 7704974, 1732338, -164395, -126308, -15572, 874, 374, 33, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 19}
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id: 4066858
{'charpoly_factorization': [[[-8444, -15191, 109608, -168883, 110886, -23500, -11052, 8764, -2563, 392, -31, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 23}
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id: 4066859
{'charpoly_factorization': [[[87814, 1166813, 826887, -400731, -481723, -88405, 24087, 7476, -191, -154, -1, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 29}
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id: 4066860
{'charpoly_factorization': [[[-2664644, 2823361, 2566716, -4058823, 1449547, -13627, -76552, 8194, 1220, -174, -6, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 31}
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id: 4066861
{'charpoly_factorization': [[[16646506, 21809433, -2372291, -5737958, 397705, 488436, -55195, -13841, 2315, 45, -23, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 37}
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id: 4066862
{'charpoly_factorization': [[[27218, 464965, -1275943, -244631, 759889, 35830, -98540, 9850, 1699, -203, -8, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 41}
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id: 4066863
{'charpoly_factorization': [[[1342504, 9827029, -4346831, -2367323, 840289, 175931, -58765, -4387, 1754, -6, -19, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 43}
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id: 4066864
{'charpoly_factorization': [[[22906712, 11144191, -38280098, 19887717, -2313582, -1055487, 402442, -51035, 1074, 363, -35, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 47}
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id: 4066865
{'charpoly_factorization': [[[200270398, 229524139, -30224435, -72596754, -17304274, 466834, 501650, 22931, -4654, -301, 14, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 53}
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id: 4066866
{'charpoly_factorization': [[[-228526492, -42370177, 89545905, 8607780, -8283558, -1038090, 210368, 29711, -1944, -301, 6, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 59}
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id: 4066867
{'charpoly_factorization': [[[7806014, -3196689, -5543590, 1135363, 1052205, -131249, -61719, 6979, 1323, -148, -9, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 61}
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id: 4066868
{'charpoly_factorization': [[[-78262892, -190051801, -18614189, 55905980, -6403572, -3014876, 765079, -34803, -7196, 1056, -54, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 67}
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id: 4066869
{'charpoly_factorization': [[[171774332, -413516785, -265270764, 96698187, 9552506, -4226351, -33866, 63900, -824, -412, 5, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 71}
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id: 4066870
{'charpoly_factorization': [[[1586331898, -1146454197, 117556241, 73726882, -13126291, -1747677, 355176, 24273, -4021, -225, 17, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 73}
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id: 4066871
{'charpoly_factorization': [[[7778248, -14180807, 4881367, 3990121, -2379038, -96652, 166071, 3392, -4022, -226, 16, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 79}
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id: 4066872
{'charpoly_factorization': [[[169996516, 255125105, -49693332, -92038012, 14654201, 4226641, -695775, -33985, 8357, -85, -29, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 83}
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id: 4066873
{'charpoly_factorization': [[[-13243411022, -29544792621, 3098919430, 1614051215, -79106820, -29057104, 761295, 225658, -3220, -784, 5, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 89}
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id: 4066874
{'charpoly_factorization': [[[4514064014, -3816423271, -485357577, 342411691, 8971668, -10024852, 71993, 117219, -1778, -571, 6, 1], 1]], 'hecke_orbit_code': 27021597797783433, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '6025.2.a.g', 'level': 6025, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 177830000
{'hecke_orbit_code': 27021597797783433, 'n': 1, 'trace_an': 11}
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id: 177830001
{'hecke_orbit_code': 27021597797783433, 'n': 2, 'trace_an': 4}
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id: 177830002
{'hecke_orbit_code': 27021597797783433, 'n': 3, 'trace_an': 8}
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id: 177830003
{'hecke_orbit_code': 27021597797783433, 'n': 4, 'trace_an': 6}
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id: 177830004
{'hecke_orbit_code': 27021597797783433, 'n': 5, 'trace_an': 0}
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id: 177830005
{'hecke_orbit_code': 27021597797783433, 'n': 6, 'trace_an': 7}
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id: 177830006
{'hecke_orbit_code': 27021597797783433, 'n': 7, 'trace_an': 9}
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id: 177830007
{'hecke_orbit_code': 27021597797783433, 'n': 8, 'trace_an': 12}
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id: 177830008
{'hecke_orbit_code': 27021597797783433, 'n': 9, 'trace_an': 9}
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id: 177830009
{'hecke_orbit_code': 27021597797783433, 'n': 10, 'trace_an': 0}
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id: 177830010
{'hecke_orbit_code': 27021597797783433, 'n': 11, 'trace_an': -3}
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id: 177830011
{'hecke_orbit_code': 27021597797783433, 'n': 12, 'trace_an': 28}
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id: 177830012
{'hecke_orbit_code': 27021597797783433, 'n': 13, 'trace_an': 9}
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id: 177830013
{'hecke_orbit_code': 27021597797783433, 'n': 14, 'trace_an': 2}
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id: 177830014
{'hecke_orbit_code': 27021597797783433, 'n': 15, 'trace_an': 0}
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id: 177830015
{'hecke_orbit_code': 27021597797783433, 'n': 16, 'trace_an': -16}
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id: 177830016
{'hecke_orbit_code': 27021597797783433, 'n': 17, 'trace_an': 4}
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id: 177830017
{'hecke_orbit_code': 27021597797783433, 'n': 18, 'trace_an': 6}
-
id: 177830018
{'hecke_orbit_code': 27021597797783433, 'n': 19, 'trace_an': -33}
-
id: 177830019
{'hecke_orbit_code': 27021597797783433, 'n': 20, 'trace_an': 0}
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id: 177830020
{'hecke_orbit_code': 27021597797783433, 'n': 21, 'trace_an': 2}
-
id: 177830021
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{'hecke_orbit_code': 27021597797783433, 'n': 1000, 'trace_an': 0}