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mf_newforms • Show schema
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{'Nk2': 4788, 'analytic_conductor': 9.558093121947262, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1197, 3, [533, 514, 1009], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 172, 'conrey_indexes': [172, 856], 'dim': 14, 'field_disc': -284170037378076684288, 'field_disc_factorization': [[-1, 1], [2, 12], [3, 9], [17, 2], [110437, 2]], 'field_poly': [1, -1, 13, 4, 130, -18, 220, -68, 310, -96, 86, -18, 15, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [36, -108, 468, 108, 966, -132, 909, -6, 442, -76, 105, -12, 14, -2, 1]], [5, [144, -144, 1224, 1872, 7320, 3906, 4089, 1476, 1330, 406, 227, 36, 18, 2, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49540214409921709, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 12, 'hecke_ring_index_factorization': [[2, 2], [3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1197.2.j.l', 'level': 1197, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 19], 'level_radical': 399, 'minimal_twist': '133.2.f.d', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{10}q^{2}+(-2-\\beta _{5}-\\beta _{6}-\\beta _{7}-\\beta _{9}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1197.2.j', 'trace_display': [2, 0, -2, -1], 'trace_hash': 943598847766717777, 'trace_moments': [{'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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'level': 1197, 'maxp': 1999, 'weight': 2}
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{'Nk2': 4788, 'analytic_conductor': 9.558093121947262, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1197, 3, [533, 514, 1009], [3, 2, 3]], 'conrey_index': 172, 'cusp_dim': 304, 'dim': 120, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 618508846253, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 8, 8, 8, 14, 16, 16, 24], 'label': '1197.2.j', 'level': 1197, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 19], 'level_radical': 399, 'mf_dim': 336, 'mf_new_dim': 120, 'num_forms': 15, 'prim_orbit_index': 3, 'relative_dim': 60, 'sturm_bound': 320, 'trace_bound': 5, 'trace_display': [-2, 0, 5, 3], 'traces': [120, -2, 0, -62, 5, 0, 3, 12, 0, -4, 1, 0, 0, 18, 0, -58, 6, 0, -4, -48, 0, 40, -6, 0, -71, -12, 0, 0, 24, 0, 0, -4, 0, -32, 1, 0, -2, 6, 0, 0, 24, 0, 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260, 0, 388, -204, 0, 93, 64, 0, 448, -240, 0, -280, 52, 0, -344, -88, 0, -756, -398, 0, 230, -50, 0, 3, -112, 0, 2, -356, 0, -524, 0, 0, -84, 89, 0, -236, -1500, 0, 300, 100, 0, 528, 194, 0, -398, 24, 0, -208, 92, 0, 1008, -1004, 0, 232, -436, 0, 116, 496, 0, 392, 30, 0, 304, -140, 0, -31, 632, 0, 76, 36, 0, 190, -392, 0, 298, -228, 0, -82, 936, 0, -48, 269, 0, 44, 196, 0, -72, -464, 0, -288, -22, 0, -112, -820, 0, 276, 380, 0, -24, 524, 0, -640, 164, 0, -68, -136, 0, -25, 720, 0, -852, 171, 0, 514, 1390, 0, 782, 116, 0, -345, 60, 0, -1096, -16, 0, 301, 490], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 670172
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 14, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1197.2.j.l', 'source_level': 1197, 'target_char_orbit': 6, 'target_dim': 14, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '133.2.f.d', 'target_level': 133, 'twist_class_label': '133.2.f.d', 'twist_class_level': 133, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 670173
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 14, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1197.2.j.l', 'source_level': 1197, 'target_char_orbit': 6, 'target_dim': 14, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '133.2.f.d', 'target_level': 133, 'twist_class_label': '133.2.f.d', 'twist_class_level': 133, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 670174
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 14, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1197.2.j.l', 'source_level': 1197, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '931.2.a.n', 'target_level': 931, 'twist_class_label': '133.2.f.d', 'twist_class_level': 133, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 670175
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 14, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1197.2.j.l', 'source_level': 1197, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '931.2.a.o', 'target_level': 931, 'twist_class_label': '133.2.f.d', 'twist_class_level': 133, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 670176
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 14, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1197.2.j.l', 'source_level': 1197, 'target_char_orbit': 6, 'target_dim': 14, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '931.2.f.p', 'target_level': 931, 'twist_class_label': '133.2.f.d', 'twist_class_level': 133, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 670177
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 14, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1197.2.j.l', 'source_level': 1197, 'target_char_orbit': 6, 'target_dim': 14, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '931.2.f.p', 'target_level': 931, 'twist_class_label': '133.2.f.d', 'twist_class_level': 133, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 670178
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 14, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1197.2.j.l', 'source_level': 1197, 'target_char_orbit': 10, 'target_dim': 14, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1197.2.j.l', 'target_level': 1197, 'twist_class_label': '133.2.f.d', 'twist_class_level': 133, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 670179
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 14, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1197.2.j.l', 'source_level': 1197, 'target_char_orbit': 10, 'target_dim': 14, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1197.2.j.l', 'target_level': 1197, 'twist_class_label': '133.2.f.d', 'twist_class_level': 133, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 670180
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 14, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1197.2.j.l', 'source_level': 1197, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 63, 'target_is_minimal': False, 'target_label': '8379.2.a.ck', 'target_level': 8379, 'twist_class_label': '133.2.f.d', 'twist_class_level': 133, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 670181
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 14, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1197.2.j.l', 'source_level': 1197, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 64, 'target_is_minimal': False, 'target_label': '8379.2.a.cl', 'target_level': 8379, 'twist_class_label': '133.2.f.d', 'twist_class_level': 133, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5186250
{'charpoly_factorization': [[[36, -108, 468, 108, 966, -132, 909, -6, 442, -76, 105, -12, 14, -2, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 2}
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id: 5186251
{'charpoly_factorization': [[[0, 1], 14]], 'hecke_orbit_code': 49540214409921709, 'p': 3}
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id: 5186252
{'charpoly_factorization': [[[144, -144, 1224, 1872, 7320, 3906, 4089, 1476, 1330, 406, 227, 36, 18, 2, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 5}
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id: 5186253
{'charpoly_factorization': [[[823543, 117649, 67228, -64827, 3087, -7938, 2653, -911, 379, -162, 9, -27, 4, 1, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 7}
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id: 5186254
{'charpoly_factorization': [[[18225, 76545, 247374, 325053, 348003, 122310, 69039, -3759, 12847, -1538, 1035, -171, 62, -7, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 11}
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id: 5186255
{'charpoly_factorization': [[[-1208, 3200, -1620, -104, 210, -24, -6, 1], 2]], 'hecke_orbit_code': 49540214409921709, 'p': 13}
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id: 5186256
{'charpoly_factorization': [[[2304, -16128, 73152, -190656, 355296, -427824, 375348, -229512, 105181, -35255, 8966, -1647, 222, -19, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 17}
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id: 5186257
{'charpoly_factorization': [[[1, 1, 1], 7]], 'hecke_orbit_code': 49540214409921709, 'p': 19}
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id: 5186258
{'charpoly_factorization': [[[10017225, -579195, 10886274, -9873963, 12039483, -5955174, 2767059, -568335, 144127, -7342, 5559, -99, 86, 1, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 23}
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id: 5186259
{'charpoly_factorization': [[[-12480, -17184, -7536, -348, 668, 206, 24, 1], 2]], 'hecke_orbit_code': 49540214409921709, 'p': 29}
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id: 5186260
{'charpoly_factorization': [[[74511424, 125267584, 212359072, 36677696, 33309376, 1122912, 3879688, 16760, 191428, 780, 6920, 12, 96, 0, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 31}
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id: 5186261
{'charpoly_factorization': [[[24266162176, 9690513408, 8814788608, -338459648, 1150582272, 43898112, 52968976, 2926352, 1822840, 129432, 27904, 1128, 218, 8, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 37}
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id: 5186262
{'charpoly_factorization': [[[768, -1152, -768, 432, 128, -40, -4, 1], 2]], 'hecke_orbit_code': 49540214409921709, 'p': 41}
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id: 5186263
{'charpoly_factorization': [[[303284, -99252, -23308, 6787, 556, -148, -4, 1], 2]], 'hecke_orbit_code': 49540214409921709, 'p': 43}
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id: 5186264
{'charpoly_factorization': [[[3157653249, 3079769751, 2734586586, 891380007, 352806555, 26837694, 25678395, 1100859, 870655, -10378, 18671, -81, 174, -5, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 47}
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id: 5186265
{'charpoly_factorization': [[[166464, -1331712, 14448096, 24930432, 108599520, -68416416, 34673640, -7795176, 1576852, -200284, 29904, -3132, 344, -20, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 53}
-
id: 5186266
{'charpoly_factorization': [[[15383937024, 8501649408, 4734001152, 1605574656, 602238720, 170805504, 46679424, 9304752, 1651348, 211844, 26300, 2436, 258, 16, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 59}
-
id: 5186267
{'charpoly_factorization': [[[1642357587025, 287077613905, 130772552496, 14955118807, 5217883473, 506443602, 136258993, 9843803, 2346469, 135642, 28613, 1055, 212, 5, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 61}
-
id: 5186268
{'charpoly_factorization': [[[67108864, -704643072, 8069840896, 6776946688, 8115978240, -1145831424, 345444352, -22116352, 5112832, -253440, 53824, -1344, 272, -4, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 67}
-
id: 5186269
{'charpoly_factorization': [[[-6648, -15120, 35676, 19416, -2014, -256, 12, 1], 2]], 'hecke_orbit_code': 49540214409921709, 'p': 71}
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id: 5186270
{'charpoly_factorization': [[[26994161401, -7892102465, 17568931036, 10848225245, 7539543541, 1945866462, 479068141, 37904465, 6599233, 262614, 75209, 981, 312, 3, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 73}
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id: 5186271
{'charpoly_factorization': [[[23004395584, 27060711552, 41638167200, -9523173824, 4942397888, -570786912, 228679816, -30089272, 6334420, -507468, 66208, -4268, 464, -20, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 79}
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id: 5186272
{'charpoly_factorization': [[[-142371, -203715, -8721, 15507, 1295, -209, -11, 1], 2]], 'hecke_orbit_code': 49540214409921709, 'p': 83}
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id: 5186273
{'charpoly_factorization': [[[109495296, 138124800, 138327552, 66648960, 30349056, 9152352, 3214896, 791232, 207784, 34568, 6384, 756, 122, 10, 1], 1]], 'hecke_orbit_code': 49540214409921709, 'p': 89}
-
id: 5186274
{'charpoly_factorization': [[[32, 608, 2784, 3168, -642, -258, 4, 1], 2]], 'hecke_orbit_code': 49540214409921709, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 12, 'label': '1197.2.j.l', 'level': 1197, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 281482999
{'hecke_orbit_code': 49540214409921709, 'n': 1000, 'trace_an': -124}
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id: 281482998
{'hecke_orbit_code': 49540214409921709, 'n': 999, 'trace_an': 0}
-
id: 281482997
{'hecke_orbit_code': 49540214409921709, 'n': 998, 'trace_an': -48}
-
id: 281482996
{'hecke_orbit_code': 49540214409921709, 'n': 997, 'trace_an': -99}
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id: 281482995
{'hecke_orbit_code': 49540214409921709, 'n': 996, 'trace_an': 0}
-
id: 281482994
{'hecke_orbit_code': 49540214409921709, 'n': 995, 'trace_an': 8}
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id: 281482993
{'hecke_orbit_code': 49540214409921709, 'n': 994, 'trace_an': 244}
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id: 281482992
{'hecke_orbit_code': 49540214409921709, 'n': 993, 'trace_an': 0}
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id: 281482991
{'hecke_orbit_code': 49540214409921709, 'n': 992, 'trace_an': -28}
-
id: 281482990
{'hecke_orbit_code': 49540214409921709, 'n': 991, 'trace_an': -4}
-
id: 281482989
{'hecke_orbit_code': 49540214409921709, 'n': 990, 'trace_an': 0}
-
id: 281482988
{'hecke_orbit_code': 49540214409921709, 'n': 989, 'trace_an': 120}
-
id: 281482987
{'hecke_orbit_code': 49540214409921709, 'n': 988, 'trace_an': 84}
-
id: 281482986
{'hecke_orbit_code': 49540214409921709, 'n': 987, 'trace_an': 0}
-
id: 281482985
{'hecke_orbit_code': 49540214409921709, 'n': 986, 'trace_an': -8}
-
id: 281482984
{'hecke_orbit_code': 49540214409921709, 'n': 985, 'trace_an': 66}
-
id: 281482983
{'hecke_orbit_code': 49540214409921709, 'n': 984, 'trace_an': 0}
-
id: 281482982
{'hecke_orbit_code': 49540214409921709, 'n': 983, 'trace_an': -104}
-
id: 281482981
{'hecke_orbit_code': 49540214409921709, 'n': 982, 'trace_an': -182}
-
id: 281482980
{'hecke_orbit_code': 49540214409921709, 'n': 981, 'trace_an': 0}
-
id: 281482979
{'hecke_orbit_code': 49540214409921709, 'n': 980, 'trace_an': -20}
-
id: 281482978
{'hecke_orbit_code': 49540214409921709, 'n': 979, 'trace_an': 84}
-
id: 281482977
{'hecke_orbit_code': 49540214409921709, 'n': 978, 'trace_an': 0}
-
id: 281482976
{'hecke_orbit_code': 49540214409921709, 'n': 977, 'trace_an': 34}
-
id: 281482975
{'hecke_orbit_code': 49540214409921709, 'n': 976, 'trace_an': 176}
-
id: 281482974
{'hecke_orbit_code': 49540214409921709, 'n': 975, 'trace_an': 0}
-
id: 281482973
{'hecke_orbit_code': 49540214409921709, 'n': 974, 'trace_an': 304}
-
id: 281482972
{'hecke_orbit_code': 49540214409921709, 'n': 973, 'trace_an': -25}
-
id: 281482971
{'hecke_orbit_code': 49540214409921709, 'n': 972, 'trace_an': 0}
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