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mf_newforms • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [1, 3]], 'cm_discs': [], 'conrey_index': 64, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 9, -6, 9, -3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258308797, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [1, 3]], 'conrey_index': 64, 'cusp_dim': 36, 'dim': 12, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 343630938301, 'hecke_orbit_dims': [6, 6], 'label': '189.2.f', 'level': 189, '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': [3, 7], 'level_radical': 21, 'mf_dim': 60, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 6, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [2, 0, -2, 0], 'traces': [12, 2, 0, -6, -2, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -6, 12, 0, -12, -22, 0, 6, 12, 0, 0, 8, 0, 0, 10, 0, 6, -8, 0, -6, -16, 0, -12, 14, 0, -12, -22, 0, 6, -76, 0, 24, -6, 0, -6, 4, 0, 18, 24, 0, -12, 12, 0, 18, -12, 0, 0, 96, 0, 0, 10, 0, 12, 12, 0, 0, -36, 0, -36, -24, 0, 6, 8, 0, 6, 8, 0, 0, -30, 0, -18, 40, 0, -6, -20, 0, -12, 18, 0, -6, 4, 0, 0, -4, 0, 12, -34, 0, 24, -66, 0, -36, -20, 0, -12, 38, 0, 0, 40, 0, 18, 56, 0, 36, 18, 0, 6, 2, 0, 30, 48, 0, 0, 42, 0, -36, 4, 0, 0, -76, 0, 12, -6, 0, -18, 10, 0, 6, 52, 0, 72, -66, 0, 0, 0, 0, -6, -72, 0, 48, 18, 0, -6, -80, 0, -6, -24, 0, 24, -20, 0, -6, -20, 0, 0, -60, 0, -72, 50, 0, 12, 44, 0, -60, 44, 0, 36, -2, 0, -30, -36, 0, -42, 156, 0, -60, 22, 0, 6, 54, 0, -6, -92, 0, 0, -66, 0, 18, 8, 0, -24, -44, 0, -108, -20, 0, 6, 30, 0, 18, -16, 0, 0, 0, 0, 48, 0, 0, 0, -16, 0, -48, -36, 0, -36, -54, 0, 54, 12, 0, 96, 18, 0, -12, 42, 0, 36, 52, 0, -24, -2, 0, 18, 24, 0, 18, 28, 0, 60, 66, 0, 54, 20, 0, 0, -16, 0, -36, -2, 0, 6, -2, 0, 72, 120, 0, -36, -12, 0, -24, -22, 0, 0, -132, 0, -60, 80, 0, -30, -24, 0, 60, -44, 0, -36, 62, 0, 102, -16, 0, -24, 12, 0, 36, -48, 0, 0, -74, 0, -18, 4, 0, -60, -8, 0, -30, -66, 0, 24, 116, 0, 36, -60, 0, -6, 34, 0, 12, 24, 0, 96, -46, 0, -42, 12, 0, -12, -48, 0, 216, -20, 0, 18, 84, 0, -30, -36, 0, 0, 30, 0, -36, 62, 0, -60, 32, 0, 60, -44, 0, -48, -16, 0, 0, -64, 0, -144, -16, 0, 24, 48, 0, -54, 60, 0, -84, 24, 0, -54, 42, 0, -108, -128, 0, -12, 38, 0, 12, -42, 0, -6, 76, 0, 12, 30, 0, -24, 0, 0, -102, 68, 0, -156, -42, 0, 78, -24, 0, 54, 52, 0, 0, 24, 0, 60, -14, 0, 12, -12, 0, -36, -8, 0, -78, 12, 0, 78, 20, 0, 132, -12, 0, -12, -34, 0, 90, -204, 0, 0, -12, 0, 18, -36, 0, 0, -36, 0, 12, 12, 0, 12, -40, 0, -24, 0, 0, 48, 56, 0, 30, 20, 0, 78, -320, 0, -60, 74, 0, -36, -52, 0, -48, 180, 0, -24, -90, 0, -42, -76, 0, 24, 0, 0, 132, -22, 0, 54, 34, 0, -60, 72, 0, -36, 0, 0, 0, -10, 0, -30, 104, 0, 96, 0, 0, 48, 96, 0, 114, 36, 0, -72, -12, 0, -114, 8, 0, 24, 92, 0, 96, 74, 0, 60, -36, 0, 6, 168, 0, 216, -22, 0, -12, -18, 0, -18, 108, 0, 72, -40, 0, -30, 72, 0, -42, -8, 0, 12, 104, 0, -48, 102, 0, -24, -120, 0, -192, -62, 0, 36, -58, 0, -90, -116, 0, 36, -26, 0, -42, 22, 0, -72, -136, 0, -132, -62, 0, 18, -64, 0, 18, -48, 0, -96, 8, 0, 12, -6, 0, -42, 0, 0, -228, 130, 0, 24, 36, 0, 54, -60, 0, 0, -138, 0, 6, 96, 0, 54, 56, 0, -168, -52, 0, -24, 28, 0, 36, 132, 0, 132, 26, 0, -48, 48, 0, 36, 0, 0, 0, 14, 0, 42, 22, 0, 66, -24, 0, 96, -60, 0, 126, -102, 0, 0, 164, 0, -84, 12, 0, 72, -12, 0, 0, 68, 0, 24, 70, 0, -72, -60, 0, 48, 76, 0, -84, -6, 0, 12, 70, 0, 30, 56, 0, 48, 122, 0, 204, 10, 0, -60, -4, 0, 72, 24, 0, 6, -84, 0, 54, -192, 0, 48, 4, 0, 66, -60, 0, 102, -332, 0, -72, -24, 0, -90, -4, 0, 36, -144, 0, -108, -8, 0, -66, -8, 0, -24, -180, 0, 348, 18, 0, -12, -98, 0, -18, 168, 0, 72, -66, 0, -114, 8, 0, -18, 108, 0, 84, -24, 0, -72, 48, 0, 48, 268, 0, -180, -6, 0, 0, -72, 0, -54, 16, 0, -60, -4, 0, -66, -6, 0, -162, -208, 0, -72, -66, 0, 66, 24, 0, -36, 32, 0, -72, -6, 0, -84, -56, 0, -84, 56, 0, -156, 162, 0, 84, 2, 0, 18, 84, 0, 12, 16, 0, 30, -52, 0, -108, -64, 0, -24, 72, 0, -156, 142, 0, 36, 56, 0, 156, -84, 0, -36, 12, 0, 36, -48, 0, -72, -44, 0, 114, 4, 0, -54, -56, 0, 216, -94, 0, 12, 96, 0, -36, 108, 0, 108, 30, 0, -30, -6, 0, 102, 20, 0, -180, 4, 0, 12, -44, 0, -42, -192, 0, -48, -18, 0, 66, 150, 0, 6, 52, 0, 168, -104, 0, 108, 94, 0, -114, 48, 0, 12, -4, 0, 30, 26, 0, 42, -96, 0, 72, 0, 0, 48, 174, 0, 144, -228, 0, -84, -36, 0, -120, -76, 0, 24, 428, 0, 108, 42, 0, -42, -36, 0, 6, -72, 0, 192, 70, 0, -120, -146, 0, -138, 12, 0, 72, 54, 0, -6, -136, 0, -30, 68, 0, -48, 48, 0, -102, 108, 0, -54, 32, 0, -96, 68, 0, 6, -96, 0, 24, 0, 0, 84, -80, 0, -114, -142, 0, -54, -168, 0, 204, -88, 0, -6, -32, 0, 6, 8, 0, -48, 78, 0, 114, 36, 0, -36, -72, 0, -336, 56, 0, 60, -6, 0, 192, 204, 0, 24, -22, 0, 78, 6, 0, 48, 44, 0, -384, 72, 0, -84, 36, 0, 90, 36, 0, 156, -54, 0, -24, -54, 0, 72, 104, 0, 24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35203266
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 127, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503943258308797, 'target_is_minimal': False, 'target_label': '189.2.f.b.127.3', 'target_level': 189, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35203267
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 43, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938175, 'target_is_minimal': True, 'target_label': '63.2.f.a.43.1', 'target_level': 63, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35203268
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 2017, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037164538366928, 'target_is_minimal': False, 'target_label': '3024.2.r.k.2017.1', 'target_level': 3024, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35203269
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 802, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633899, 'target_is_minimal': False, 'target_label': '1323.2.h.c.802.1', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35203270
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014810859898155, 'target_is_minimal': False, 'target_label': '1323.2.g.e.667.3', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35203271
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232527659, 'target_is_minimal': False, 'target_label': '1323.2.g.d.667.3', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35203272
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 802, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697263403, 'target_is_minimal': False, 'target_label': '1323.2.h.b.802.1', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35203273
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511142513050923, 'target_is_minimal': False, 'target_label': '1323.2.f.d.883.3', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35203274
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525197425148471, 'target_is_minimal': False, 'target_label': '567.2.a.h.1.3', 'target_level': 567, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35203275
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 64, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503943258308797, 'target_is_minimal': False, 'target_label': '189.2.f.b.64.3', 'target_level': 189, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35203276
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 22, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938175, 'target_is_minimal': True, 'target_label': '63.2.f.a.22.1', 'target_level': 63, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35203277
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295991, 'target_is_minimal': False, 'target_label': '567.2.a.c.1.1', 'target_level': 567, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35203278
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 673, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31526365656253424, 'target_is_minimal': False, 'target_label': '1008.2.r.h.673.3', 'target_level': 1008, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35203279
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 214, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511279952003513, 'target_is_minimal': False, 'target_label': '441.2.h.d.214.3', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35203280
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 214, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014879579374009, 'target_is_minimal': False, 'target_label': '441.2.h.e.214.3', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35203281
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156281, 'target_is_minimal': False, 'target_label': '441.2.g.c.79.1', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35203282
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785785, 'target_is_minimal': False, 'target_label': '441.2.g.b.79.1', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 35203283
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 295, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679545, 'target_is_minimal': False, 'target_label': '441.2.f.c.295.1', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35203284
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 198158383637865328, 'target_is_minimal': False, 'target_label': '9072.2.a.bs.1.3', 'target_level': 9072, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35203285
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 234187180656829296, 'target_is_minimal': False, 'target_label': '9072.2.a.ca.1.1', 'target_level': 9072, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35203286
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31526365656253424, 'target_is_minimal': False, 'target_label': '1008.2.r.h.337.3', 'target_level': 1008, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35203287
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037164538366928, 'target_is_minimal': False, 'target_label': '3024.2.r.k.1009.1', 'target_level': 3024, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35203288
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633899, 'target_is_minimal': False, 'target_label': '1323.2.h.c.226.1', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35203289
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785785, 'target_is_minimal': False, 'target_label': '441.2.g.b.67.1', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35203290
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 442, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511142513050923, 'target_is_minimal': False, 'target_label': '1323.2.f.d.442.3', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35203291
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594071486337, 'target_is_minimal': False, 'target_label': '3969.2.a.q.1.3', 'target_level': 3969, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35203292
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156281, 'target_is_minimal': False, 'target_label': '441.2.g.c.67.1', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35203293
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697263403, 'target_is_minimal': False, 'target_label': '1323.2.h.b.226.1', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35203294
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511279952003513, 'target_is_minimal': False, 'target_label': '441.2.h.d.373.3', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35203295
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934633857, 'target_is_minimal': False, 'target_label': '3969.2.a.l.1.1', 'target_level': 3969, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 35203296
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014810859898155, 'target_is_minimal': False, 'target_label': '1323.2.g.e.361.3', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 35203297
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 148, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679545, 'target_is_minimal': False, 'target_label': '441.2.f.c.148.1', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 35203298
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232527659, 'target_is_minimal': False, 'target_label': '1323.2.g.d.361.3', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 35203299
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503943258308797, 'source_is_minimal': False, 'source_label': '189.2.f.b.127.3', 'source_level': 189, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014879579374009, 'target_is_minimal': False, 'target_label': '441.2.h.e.373.3', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.1', 'twist_class_level': 63, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 472750
{'charpoly_factorization': [[[9, 0, 9, -6, 9, -3, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 2}
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id: 472751
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4503943258308797, 'p': 3}
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id: 472752
{'charpoly_factorization': [[[9, 0, 9, -6, 9, -3, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 5}
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id: 472753
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 4503943258308797, 'p': 7}
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id: 472754
{'charpoly_factorization': [[[9, -27, 63, -48, 27, -6, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 11}
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id: 472755
{'charpoly_factorization': [[[11449, -3531, 1410, -115, 42, -3, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 13}
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id: 472756
{'charpoly_factorization': [[[3, 9, 6, 1], 2]], 'hecke_orbit_code': 4503943258308797, 'p': 17}
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id: 472757
{'charpoly_factorization': [[[-17, -6, 3, 1], 2]], 'hecke_orbit_code': 4503943258308797, 'p': 19}
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id: 472758
{'charpoly_factorization': [[[9, 81, 765, -330, 117, -12, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 23}
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id: 472759
{'charpoly_factorization': [[[110889, -11988, 4293, -342, 117, -9, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 29}
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id: 472760
{'charpoly_factorization': [[[104329, -25194, 7053, -412, 87, -3, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 31}
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id: 472761
{'charpoly_factorization': [[[-323, -78, 3, 1], 2]], 'hecke_orbit_code': 4503943258308797, 'p': 37}
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id: 472762
{'charpoly_factorization': [[[81, 81, 81, 18, 9, 0, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 41}
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id: 472763
{'charpoly_factorization': [[[1, 6, 33, 20, 15, -3, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 43}
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id: 472764
{'charpoly_factorization': [[[2601, 2754, 2763, 264, 63, -3, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 47}
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id: 472765
{'charpoly_factorization': [[[3, -9, 6, 1], 2]], 'hecke_orbit_code': 4503943258308797, 'p': 53}
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id: 472766
{'charpoly_factorization': [[[2601, -3672, 5031, -318, 81, 3, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 59}
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id: 472767
{'charpoly_factorization': [[[361, 285, 339, -52, 51, 6, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 61}
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id: 472768
{'charpoly_factorization': [[[289, 357, 645, -286, 123, -12, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 67}
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id: 472769
{'charpoly_factorization': [[[27, -54, 9, 1], 2]], 'hecke_orbit_code': 4503943258308797, 'p': 71}
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id: 472770
{'charpoly_factorization': [[[-269, 84, 21, 1], 2]], 'hecke_orbit_code': 4503943258308797, 'p': 73}
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id: 472771
{'charpoly_factorization': [[[32761, -21720, 10599, -2158, 321, -21, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 79}
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id: 472772
{'charpoly_factorization': [[[81, 405, 1863, 792, 279, 18, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 83}
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id: 472773
{'charpoly_factorization': [[[-813, -63, 12, 1], 2]], 'hecke_orbit_code': 4503943258308797, 'p': 89}
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id: 472774
{'charpoly_factorization': [[[104329, -54264, 29193, -142, 177, -3, 1], 1]], 'hecke_orbit_code': 4503943258308797, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '189.2.f.b', 'level': 189, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 22362127
{'hecke_orbit_code': 4503943258308797, 'n': 1, 'trace_an': 6}
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id: 22362128
{'hecke_orbit_code': 4503943258308797, 'n': 2, 'trace_an': 3}
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id: 22362129
{'hecke_orbit_code': 4503943258308797, 'n': 3, 'trace_an': 0}
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id: 22362130
{'hecke_orbit_code': 4503943258308797, 'n': 4, 'trace_an': -3}
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id: 22362131
{'hecke_orbit_code': 4503943258308797, 'n': 5, 'trace_an': 3}
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id: 22362132
{'hecke_orbit_code': 4503943258308797, 'n': 6, 'trace_an': 0}
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id: 22362133
{'hecke_orbit_code': 4503943258308797, 'n': 7, 'trace_an': -3}
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id: 22362134
{'hecke_orbit_code': 4503943258308797, 'n': 8, 'trace_an': -12}
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id: 22362135
{'hecke_orbit_code': 4503943258308797, 'n': 9, 'trace_an': 0}
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id: 22362136
{'hecke_orbit_code': 4503943258308797, 'n': 10, 'trace_an': 0}
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id: 22362137
{'hecke_orbit_code': 4503943258308797, 'n': 11, 'trace_an': 6}
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id: 22362138
{'hecke_orbit_code': 4503943258308797, 'n': 12, 'trace_an': 0}
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id: 22362139
{'hecke_orbit_code': 4503943258308797, 'n': 13, 'trace_an': 3}
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id: 22362140
{'hecke_orbit_code': 4503943258308797, 'n': 14, 'trace_an': 3}
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id: 22362141
{'hecke_orbit_code': 4503943258308797, 'n': 15, 'trace_an': 0}
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id: 22362142
{'hecke_orbit_code': 4503943258308797, 'n': 16, 'trace_an': -3}
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id: 22362143
{'hecke_orbit_code': 4503943258308797, 'n': 17, 'trace_an': -12}
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id: 22362144
{'hecke_orbit_code': 4503943258308797, 'n': 18, 'trace_an': 0}
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id: 22362145
{'hecke_orbit_code': 4503943258308797, 'n': 19, 'trace_an': -6}
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id: 22362146
{'hecke_orbit_code': 4503943258308797, 'n': 20, 'trace_an': -6}
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id: 22362147
{'hecke_orbit_code': 4503943258308797, 'n': 21, 'trace_an': 0}
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id: 22362148
{'hecke_orbit_code': 4503943258308797, 'n': 22, 'trace_an': -9}
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id: 22362149
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