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mf_newforms • Show schema
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{'Nk2': 3024, 'analytic_conductor': 6.036690392808797, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 84, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 6, 'char_parity': 1, 'char_values': [756, 6, [379, 29, 325], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 107, 'dim': 28, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16384, 0, -212992, 0, 2023424, 0, -8007680, 0, 22607872, 0, -28779008, 0, 25635072, 0, -13085056, 0, 4735808, 0, -969088, 0, 142048, 0, -13544, 0, 936, 0, -38, 0, 1]], [19, [6083328, -21667584, 30663616, -17589696, 1509472, 2282496, -315516, -258900, 69483, 6303, -3292, -105, 152, -21, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9009260872598260, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 28, 7, -1, 6, 0], [1, 1, 84, 14, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 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mf_hecke_cc • Show schema
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-0.37913582763960296, -0.4858670985354759, -0.2424764051434165, -0.30824055540913975, -0.43066214205229925, -0.030420806421226413, -0.45846186632052743, -0.31681988942852507, 0.09229389932775187, -0.45758781423647055, 0.23742063438652755, -0.4003719291028383, -0.15031068660038718, -0.19862464522803072, -0.20057440952923883, -0.2747755828924441, -0.4034953811234949, -0.32663409372689967, 0.09874389601599769, 0.04189788432106136, -0.36312236303374024, -0.39678870473741457, -0.04571966849043511, -0.2620372993484184, -0.15354449255658295], 'char_orbit_index': 31, 'conrey_index': 107, 'dual_conrey_index': 431, 'dual_embedding_index': 12, 'dual_embedding_m': 26, 'embedding_index': 12, 'embedding_m': 12, 'hecke_orbit': 3, 'hecke_orbit_code': 9009260872598260, 'label': '756.2.be.c.107.12', 'level': 756, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3024, 'analytic_conductor': 6.036690392808797, 'char_conductor': 84, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 6, 'char_parity': 1, 'char_values': [756, 6, [379, 29, 325], [3, 3, 2]], 'conrey_index': 107, 'cusp_dim': 264, 'dim': 128, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 19], 'hecke_orbit_code': 2061617857268, 'hecke_orbit_dims': [4, 4, 28, 28, 64], 'label': '756.2.be', 'level': 756, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 312, 'mf_new_dim': 128, 'num_forms': 5, 'prim_orbit_index': 14, 'relative_dim': 64, 'sturm_bound': 288, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 16, 0, 0, 0, 0, 0, -20, 0, 0, 60, 0, 0, 22, 0, 0, 0, 0, 0, 8, 0, 0, -4, 0, 0, 26, 0, 0, 0, 0, 0, -6, 0, 0, 8, 0, 0, 26, 0, 0, 0, 0, 0, -12, 0, 0, 8, 0, 0, -60, 0, 0, 0, 0, 0, 78, 0, 0, 4, 0, 0, -144, 0, 0, 0, 0, 0, 74, 0, 0, 16, 0, 0, -40, 0, 0, 0, 0, 0, -30, 0, 0, 88, 0, 0, -84, 0, 0, 0, 0, 0, 24, 0, 0, -24, 0, 0, -64, 0, 0, 0, 0, 0, -44, 0, 0, -44, 0, 0, -24, 0, 0, 0, 0, 0, -50, 0, 0, -32, 0, 0, -140, 0, 0, 0, 0, 0, -62, 0, 0, -44, 0, 0, -68, 0, 0, 0, 0, 0, -172, 0, 0, -72, 0, 0, -160, 0, 0, 0, 0, 0, 8, 0, 0, 136, 0, 0, 30, 0, 0, 0, 0, 0, -60, 0, 0, -40, 0, 0, -2, 0, 0, 0, 0, 0, 164, 0, 0, -40, 0, 0, -134, 0, 0, 0, 0, 0, 68, 0, 0, -8, 0, 0, -52, 0, 0, 0, 0, 0, 12, 0, 0, -88, 0, 0, 70, 0, 0, 0, 0, 0, 180, 0, 0, -32, 0, 0, 156, 0, 0, 0, 0, 0, 142, 0, 0, -88, 0, 0, 384, 0, 0, 0, 0, 0, -6, 0, 0, -256, 0, 0, -32, 0, 0, 0, 0, 0, 238, 0, 0, -56, 0, 0, 76, 0, 0, 0, 0, 0, -32, 0, 0, -144, 0, 0, 408, 0, 0, 0, 0, 0, 184, 0, 0, 88, 0, 0, 10, 0, 0, 0, 0, 0, -10, 0, 0, -28, 0, 0, 162, 0, 0, 0, 0, 0, -58, 0, 0, -56, 0, 0, -128, 0, 0, 0, 0, 0, 138, 0, 0, 4, 0, 0, 92, 0, 0, 0, 0, 0, -98, 0, 0, -184, 0, 0, 16, 0, 0, 0, 0, 0, -52, 0, 0, -208, 0, 0, -166, 0, 0, 0, 0, 0, -116, 0, 0, 60, 0, 0, -60, 0, 0, 0, 0, 0, -420, 0, 0, 84, 0, 0, 164, 0, 0, 0, 0, 0, 100, 0, 0, 88, 0, 0, -226, 0, 0, 0, 0, 0, -154, 0, 0, 144, 0, 0, 320, 0, 0, 0, 0, 0, -332, 0, 0, 192, 0, 0, -56, 0, 0, 0, 0, 0, -38, 0, 0, -264, 0, 0, 136, 0, 0, 0, 0, 0, -324, 0, 0, 48, 0, 0, 168, 0, 0, 0, 0, 0, 284, 0, 0, 104, 0, 0, -400, 0, 0, 0, 0, 0, 300, 0, 0, -44, 0, 0, -196, 0, 0, 0, 0, 0, 228, 0, 0, 164, 0, 0, 144, 0, 0, 0, 0, 0, 290, 0, 0, 284, 0, 0, 140, 0, 0, 0, 0, 0, 188, 0, 0, 184, 0, 0, 140, 0, 0, 0, 0, 0, -64, 0, 0, 88, 0, 0, 26, 0, 0, 0, 0, 0, 420, 0, 0, 112, 0, 0, 274, 0, 0, 0, 0, 0, 20, 0, 0, -48, 0, 0, 388, 0, 0, 0, 0, 0, 648, 0, 0, -164, 0, 0, -42, 0, 0, 0, 0, 0, -288, 0, 0, 228, 0, 0, 262, 0, 0, 0, 0, 0, -114, 0, 0, 96, 0, 0, -392, 0, 0, 0, 0, 0, 338, 0, 0, -108, 0, 0, 48, 0, 0, 0, 0, 0, 134, 0, 0, 328, 0, 0, -50, 0, 0, 0, 0, 0, -142, 0, 0, -88, 0, 0, -452, 0, 0, 0, 0, 0, -692, 0, 0, -16, 0, 0, -336, 0, 0, 0, 0, 0, -880, 0, 0, -88, 0, 0, -46, 0, 0, 0, 0, 0, 268, 0, 0, -8, 0, 0, -428, 0, 0, 0, 0, 0, -176, 0, 0, -148, 0, 0, 112, 0, 0, 0, 0, 0, -744, 0, 0, -100, 0, 0, -564, 0, 0, 0, 0, 0, -136, 0, 0, -128, 0, 0, 82, 0, 0, 0, 0, 0, -286, 0, 0, 16, 0, 0, 226, 0, 0, 0, 0, 0, 344, 0, 0, -136, 0, 0, -328, 0, 0, 0, 0, 0, -148, 0, 0, 96, 0, 0, 154, 0, 0, 0, 0, 0, -52, 0, 0, -188, 0, 0, 166, 0, 0, 0, 0, 0, 338, 0, 0, -480, 0, 0, 116, 0, 0, 0, 0, 0, 98, 0, 0, 36, 0, 0, 756, 0, 0, 0, 0, 0, -276, 0, 0, -320, 0, 0, -158, 0, 0, 0, 0, 0, 470, 0, 0, 160, 0, 0, 358, 0, 0, 0, 0, 0, -548, 0, 0, 128, 0, 0, 534, 0, 0, 0, 0, 0, -108, 0, 0, -4, 0, 0, 56, 0, 0, 0, 0, 0, -278, 0, 0, -440, 0, 0, 368, 0, 0, 0, 0, 0, -290, 0, 0, -132, 0, 0, -576, 0, 0, 0, 0, 0, 522, 0, 0, 164, 0, 0, -740, 0, 0, 0, 0, 0, 304, 0, 0, -336, 0, 0, -414, 0, 0, 0, 0, 0, -358, 0, 0, 264, 0, 0, -390, 0, 0, 0, 0, 0, -440, 0, 0, 164, 0, 0, -56, 0, 0, 0, 0, 0, -344, 0, 0, 256, 0, 0, 18, 0, 0, 0, 0, 0, -268, 0, 0, -44, 0, 0, -750, 0, 0, 0, 0, 0, -456, 0, 0, 96, 0, 0, -124, 0, 0, 0, 0, 0, -842, 0, 0, 308, 0, 0, -928, 0, 0, 0, 0, 0, 106, 0, 0, 104, 0, 0, 416, 0, 0, 0, 0, 0, -276, 0, 0, 176, 0, 0, 82, 0, 0, 0, 0, 0, 548, 0, 0, 240, 0, 0, -226, 0, 0, 0, 0, 0, 132, 0, 0, 196, 0, 0, -24, 0, 0, 0, 0, 0, -44, 0, 0, 480, 0, 0, 104, 0, 0, 0, 0, 0, 658, 0, 0, 252, 0, 0, 812, 0, 0, 0, 0, 0, 136, 0, 0, -64, 0, 0, 1652], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41849769
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 28, 'source_embedding_index': 12, 'source_hecke_orbit_code': 9009260872598260, 'source_is_minimal': True, 'source_label': '756.2.be.c.107.12', 'source_level': 756, 'target_conrey_index': 107, 'target_dim': 28, 'target_embedding_index': 12, 'target_hecke_orbit_code': 9009260872598260, 'target_is_minimal': True, 'target_label': '756.2.be.c.107.12', 'target_level': 756, 'twist_class_label': '756.2.be.c.107.3', 'twist_class_level': 756, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41849770
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 28, 'source_embedding_index': 12, 'source_hecke_orbit_code': 9009260872598260, 'source_is_minimal': True, 'source_label': '756.2.be.c.107.12', 'source_level': 756, 'target_conrey_index': 107, 'target_dim': 28, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9009260872598260, 'target_is_minimal': True, 'target_label': '756.2.be.c.107.3', 'target_level': 756, 'twist_class_label': '756.2.be.c.107.3', 'twist_class_level': 756, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41849771
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 28, 'source_embedding_index': 12, 'source_hecke_orbit_code': 9009260872598260, 'source_is_minimal': True, 'source_label': '756.2.be.c.107.12', 'source_level': 756, 'target_conrey_index': 107, 'target_dim': 28, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13512860499968756, 'target_is_minimal': True, 'target_label': '756.2.be.d.107.7', 'target_level': 756, 'twist_class_label': '756.2.be.c.107.3', 'twist_class_level': 756, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41849772
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 28, 'source_embedding_index': 12, 'source_hecke_orbit_code': 9009260872598260, 'source_is_minimal': True, 'source_label': '756.2.be.c.107.12', 'source_level': 756, 'target_conrey_index': 431, 'target_dim': 28, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13512860499968756, 'target_is_minimal': True, 'target_label': '756.2.be.d.431.8', 'target_level': 756, 'twist_class_label': '756.2.be.c.107.3', 'twist_class_level': 756, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 41849773
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 28, 'source_embedding_index': 12, 'source_hecke_orbit_code': 9009260872598260, 'source_is_minimal': True, 'source_label': '756.2.be.c.107.12', 'source_level': 756, 'target_conrey_index': 107, 'target_dim': 28, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13512860499968756, 'target_is_minimal': True, 'target_label': '756.2.be.d.107.8', 'target_level': 756, 'twist_class_label': '756.2.be.c.107.3', 'twist_class_level': 756, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41849774
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 28, 'source_embedding_index': 12, 'source_hecke_orbit_code': 9009260872598260, 'source_is_minimal': True, 'source_label': '756.2.be.c.107.12', 'source_level': 756, 'target_conrey_index': 431, 'target_dim': 28, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13512860499968756, 'target_is_minimal': True, 'target_label': '756.2.be.d.431.7', 'target_level': 756, 'twist_class_label': '756.2.be.c.107.3', 'twist_class_level': 756, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41849775
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 28, 'source_embedding_index': 12, 'source_hecke_orbit_code': 9009260872598260, 'source_is_minimal': True, 'source_label': '756.2.be.c.107.12', 'source_level': 756, 'target_conrey_index': 431, 'target_dim': 28, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9009260872598260, 'target_is_minimal': True, 'target_label': '756.2.be.c.431.3', 'target_level': 756, 'twist_class_label': '756.2.be.c.107.3', 'twist_class_level': 756, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41849776
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 28, 'source_embedding_index': 12, 'source_hecke_orbit_code': 9009260872598260, 'source_is_minimal': True, 'source_label': '756.2.be.c.107.12', 'source_level': 756, 'target_conrey_index': 431, 'target_dim': 28, 'target_embedding_index': 12, 'target_hecke_orbit_code': 9009260872598260, 'target_is_minimal': True, 'target_label': '756.2.be.c.431.12', 'target_level': 756, 'twist_class_label': '756.2.be.c.107.3', 'twist_class_level': 756, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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hecke_orbit_code 9009260872598260 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 31, 'hecke_orbit': 3, 'label': '756.2.be.c', 'level': 756, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 32118397
{'hecke_orbit_code': 9009260872598260, 'n': 1, 'trace_an': 28}
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id: 32118398
{'hecke_orbit_code': 9009260872598260, 'n': 2, 'trace_an': 0}
-
id: 32118399
{'hecke_orbit_code': 9009260872598260, 'n': 3, 'trace_an': 0}
-
id: 32118400
{'hecke_orbit_code': 9009260872598260, 'n': 4, 'trace_an': -4}
-
id: 32118401
{'hecke_orbit_code': 9009260872598260, 'n': 5, 'trace_an': 0}
-
id: 32118402
{'hecke_orbit_code': 9009260872598260, 'n': 6, 'trace_an': 0}
-
id: 32118403
{'hecke_orbit_code': 9009260872598260, 'n': 7, 'trace_an': -2}
-
id: 32118404
{'hecke_orbit_code': 9009260872598260, 'n': 8, 'trace_an': 0}
-
id: 32118405
{'hecke_orbit_code': 9009260872598260, 'n': 9, 'trace_an': 0}
-
id: 32118406
{'hecke_orbit_code': 9009260872598260, 'n': 10, 'trace_an': -20}
-
id: 32118407
{'hecke_orbit_code': 9009260872598260, 'n': 11, 'trace_an': 0}
-
id: 32118408
{'hecke_orbit_code': 9009260872598260, 'n': 12, 'trace_an': 0}
-
id: 32118409
{'hecke_orbit_code': 9009260872598260, 'n': 13, 'trace_an': 8}
-
id: 32118410
{'hecke_orbit_code': 9009260872598260, 'n': 14, 'trace_an': 0}
-
id: 32118411
{'hecke_orbit_code': 9009260872598260, 'n': 15, 'trace_an': 0}
-
id: 32118412
{'hecke_orbit_code': 9009260872598260, 'n': 16, 'trace_an': 12}
-
id: 32118413
{'hecke_orbit_code': 9009260872598260, 'n': 17, 'trace_an': 0}
-
id: 32118414
{'hecke_orbit_code': 9009260872598260, 'n': 18, 'trace_an': 0}
-
id: 32118415
{'hecke_orbit_code': 9009260872598260, 'n': 19, 'trace_an': 42}
-
id: 32118416
{'hecke_orbit_code': 9009260872598260, 'n': 20, 'trace_an': 0}
-
id: 32118417
{'hecke_orbit_code': 9009260872598260, 'n': 21, 'trace_an': 0}
-
id: 32118418
{'hecke_orbit_code': 9009260872598260, 'n': 22, 'trace_an': 4}
-
id: 32118419
{'hecke_orbit_code': 9009260872598260, 'n': 23, 'trace_an': 0}
-
id: 32118420
{'hecke_orbit_code': 9009260872598260, 'n': 24, 'trace_an': 0}
-
id: 32118421
{'hecke_orbit_code': 9009260872598260, 'n': 25, 'trace_an': 6}
-
id: 32118422
{'hecke_orbit_code': 9009260872598260, 'n': 26, 'trace_an': 0}
-
id: 32118423
{'hecke_orbit_code': 9009260872598260, 'n': 27, 'trace_an': 0}
-
id: 32118424
{'hecke_orbit_code': 9009260872598260, 'n': 28, 'trace_an': -28}
-
id: 32118425
{'hecke_orbit_code': 9009260872598260, 'n': 29, 'trace_an': 0}
-
id: 32118426
{'hecke_orbit_code': 9009260872598260, 'n': 30, 'trace_an': 0}
-
id: 32118427
{'hecke_orbit_code': 9009260872598260, 'n': 31, 'trace_an': -30}
-
id: 32118428
{'hecke_orbit_code': 9009260872598260, 'n': 32, 'trace_an': 0}
-
id: 32118429
{'hecke_orbit_code': 9009260872598260, 'n': 33, 'trace_an': 0}
-
id: 32118430
{'hecke_orbit_code': 9009260872598260, 'n': 34, 'trace_an': 24}
-
id: 32118431
{'hecke_orbit_code': 9009260872598260, 'n': 35, 'trace_an': 0}
-
id: 32118432
{'hecke_orbit_code': 9009260872598260, 'n': 36, 'trace_an': 0}
-
id: 32118433
{'hecke_orbit_code': 9009260872598260, 'n': 37, 'trace_an': 12}
-
id: 32118434
{'hecke_orbit_code': 9009260872598260, 'n': 38, 'trace_an': 0}
-
id: 32118435
{'hecke_orbit_code': 9009260872598260, 'n': 39, 'trace_an': 0}
-
id: 32118436
{'hecke_orbit_code': 9009260872598260, 'n': 40, 'trace_an': 36}
-
id: 32118437
{'hecke_orbit_code': 9009260872598260, 'n': 41, 'trace_an': 0}
-
id: 32118438
{'hecke_orbit_code': 9009260872598260, 'n': 42, 'trace_an': 0}
-
id: 32118439
{'hecke_orbit_code': 9009260872598260, 'n': 43, 'trace_an': 0}
-
id: 32118440
{'hecke_orbit_code': 9009260872598260, 'n': 44, 'trace_an': 0}
-
id: 32118441
{'hecke_orbit_code': 9009260872598260, 'n': 45, 'trace_an': 0}
-
id: 32118442
{'hecke_orbit_code': 9009260872598260, 'n': 46, 'trace_an': -12}
-
id: 32118443
{'hecke_orbit_code': 9009260872598260, 'n': 47, 'trace_an': 0}
-
id: 32118444
{'hecke_orbit_code': 9009260872598260, 'n': 48, 'trace_an': 0}
-
id: 32118445
{'hecke_orbit_code': 9009260872598260, 'n': 49, 'trace_an': -14}
-
id: 32118446
{'hecke_orbit_code': 9009260872598260, 'n': 50, 'trace_an': 0}
-
id: 32118447
{'hecke_orbit_code': 9009260872598260, 'n': 51, 'trace_an': 0}
-
id: 32118448
{'hecke_orbit_code': 9009260872598260, 'n': 52, 'trace_an': 84}
-
id: 32118449
{'hecke_orbit_code': 9009260872598260, 'n': 53, 'trace_an': 0}
-
id: 32118450
{'hecke_orbit_code': 9009260872598260, 'n': 54, 'trace_an': 0}
-
id: 32118451
{'hecke_orbit_code': 9009260872598260, 'n': 55, 'trace_an': 0}
-
id: 32118452
{'hecke_orbit_code': 9009260872598260, 'n': 56, 'trace_an': 0}
-
id: 32118453
{'hecke_orbit_code': 9009260872598260, 'n': 57, 'trace_an': 0}
-
id: 32118454
{'hecke_orbit_code': 9009260872598260, 'n': 58, 'trace_an': 28}
-
id: 32118455
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{'hecke_orbit_code': 9009260872598260, 'n': 991, 'trace_an': 132}
-
id: 32118654
{'hecke_orbit_code': 9009260872598260, 'n': 997, 'trace_an': -162}