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{'Nk2': 19200, 'analytic_conductor': 70.80229200688873, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': 0, 'hecke_cutters': [[7, [-10, 1]], [11, [-46, 1]]], 'hecke_orbit': 34, 'hecke_orbit_code': 148618787770336432, 'hecke_ring_generator_nbound': 1, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1200.4.a.bh', 'level': 1200, '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, 5], 'level_radical': 30, 'minimal_twist': '120.4.f.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{3}+10q^{7}+9q^{9}+46q^{11}+34q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1200.4.a', 'trace_display': [0, 3, 0, 10], 'trace_hash': 1180969807540231376, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.082', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.946', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.220', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.813', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [1, 0, 3, 0, 0, 0, 10, 0, 9, 0, 46, 0, 34, 0, 0, 0, -66, 0, -104, 0, 30, 0, 164, 0, 0, 0, 27, 0, 224, 0, 72, 0, 138, 0, 0, 0, 22, 0, 102, 0, 194, 0, 108, 0, 0, 0, -480, 0, -243, 0, -198, 0, -286, 0, 0, 0, -312, 0, -426, 0, 698, 0, 90, 0, 0, 0, 328, 0, 492, 0, -188, 0, 740, 0, 0, 0, 460, 0, -1168, 0, 81, 0, 412, 0, 0, 0, 672, 0, 1206, 0, 340, 0, 216, 0, 0, 0, 1384, 0, 414, 0, -1128, 0, -758, 0, 0, 0, 1324, 0, 1602, 0, 66, 0, 2074, 0, 0, 0, 306, 0, -660, 0, 785, 0, 582, 0, 0, 0, -534, 0, 324, 0, -1806, 0, -1040, 0, 0, 0, -1822, 0, -532, 0, -1440, 0, 1564, 0, 0, 0, -729, 0, -1284, 0, -184, 0, -594, 0, 0, 0, 3746, 0, -858, 0, 1640, 0, 1504, 0, 0, 0, 3012, 0, -1041, 0, -936, 0, 438, 0, 0, 0, -1278, 0, 1462, 0, 586, 0, 2094, 0, 0, 0, -3036, 0, 270, 0, -60, 0, 4676, 0, 0, 0, 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mf_newspaces • Show schema
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{'ALdims': [8, 7, 5, 9, 7, 7, 7, 7], 'Nk2': 19200, 'analytic_conductor': 70.80229200688873, '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': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 684, 'dim': 57, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 67110064, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '1200.4.a', 'level': 1200, '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, 5], 'level_radical': 30, 'mf_dim': 756, 'mf_new_dim': 57, 'num_forms': 47, 'plus_dim': 31, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [0, -3, 0, 32], 'traces': [57, 0, -3, 0, 0, 0, 32, 0, 513, 0, -20, 0, 46, 0, 0, 0, 26, 0, 192, 0, 0, 0, -80, 0, 0, 0, -27, 0, -58, 0, -84, 0, 12, 0, 0, 0, -74, 0, 54, 0, -414, 0, -836, 0, 0, 0, -168, 0, 2713, 0, 678, 0, 1054, 0, 0, 0, -84, 0, -628, 0, 734, 0, 288, 0, 0, 0, 1140, 0, 264, 0, -1512, 0, 970, 0, 0, 0, 768, 0, -880, 0, 4617, 0, -3644, 0, 0, 0, -162, 0, 1426, 0, 2468, 0, -456, 0, 0, 0, 802, 0, -180, 0, 2150, 0, 3808, 0, 0, 0, 3468, 0, 3142, 0, -30, 0, -2470, 0, 0, 0, 414, 0, 2392, 0, 6309, 0, -990, 0, 0, 0, -1448, 0, 36, 0, 8636, 0, 2336, 0, 0, 0, -3886, 0, 6140, 0, -624, 0, 11496, 0, 0, 0, -219, 0, 3606, 0, -10132, 0, 234, 0, 0, 0, 4526, 0, -102, 0, 3424, 0, -10828, 0, 0, 0, -3680, 0, 12391, 0, 1728, 0, -1450, 0, 0, 0, 540, 0, 9668, 0, -5538, 0, 4062, 0, 0, 0, 3704, 0, 0, 0, -3912, 0, -14, 0, 0, 0, 366, 0, 9740, 0, -996, 0, -18240, 0, 0, 0, -720, 0, -1744, 0, 21136, 0, -888, 0, 0, 0, -1056, 0, 13110, 0, -6764, 0, 17160, 0, 0, 0, 15348, 0, 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0, -108729, 0, 97312, 0, 60996, 0, 7218, 0, 0, 0, 143902, 0, -95214, 0, 9050, 0, 120868, 0, 0, 0, -202160, 0, 116256, 0, -1620, 0, -69856, 0, 0, 0, 32160, 0, -149256, 0, -44124, 0, -77184, 0, 0, 0, -73780, 0, 19350, 0, -27512, 0, -67792, 0, 0, 0, -78272, 0, -6564, 0, 60, 0, -33936, 0, 0, 0, 34272, 0, -19278, 0, -38484, 0, 53064, 0, 0, 0, -66662, 0, 127746, 0, -157698, 0, -12704, 0, 0, 0, 217940, 0, 98804, 0, -74766, 0, 39330, 0, 0, 0, 23976, 0, 258968, 0, 126593, 0, 31212, 0, 0, 0, 129104, 0, 18888, 0, 83340, 0, -7456, 0, 0, 0, 140890, 0, 256328, 0, 28278, 0, 128368, 0, 0, 0, -170976, 0, -73520, 0, 166428, 0, -12492, 0, 0, 0, -148410, 0, -270, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48819760
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787770336432, 'target_is_minimal': False, 'target_label': '1200.4.a.bh.1.1', 'target_level': 1200, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48819761
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479960, 'target_is_minimal': False, 'target_label': '600.4.a.b.1.1', 'target_level': 600, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48819762
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943291863280, 'target_is_minimal': False, 'target_label': '240.4.f.b.49.1', 'target_level': 240, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48819763
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943291863280, 'target_is_minimal': False, 'target_label': '240.4.f.b.49.2', 'target_level': 240, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48819764
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203962544, 'target_is_minimal': False, 'target_label': '1200.4.a.f.1.1', 'target_level': 1200, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48819765
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396713445128, 'target_is_minimal': False, 'target_label': '1800.4.a.j.1.1', 'target_level': 1800, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48819766
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021941428716240, 'target_is_minimal': False, 'target_label': '720.4.f.g.289.1', 'target_level': 720, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48819767
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021941428716240, 'target_is_minimal': False, 'target_label': '720.4.f.g.289.2', 'target_level': 720, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 48819768
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343664492664, 'target_is_minimal': True, 'target_label': '120.4.f.a.49.1', 'target_level': 120, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48819769
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343664492664, 'target_is_minimal': True, 'target_label': '120.4.f.a.49.2', 'target_level': 120, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 48819770
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394850296408, 'target_is_minimal': False, 'target_label': '600.4.a.o.1.1', 'target_level': 600, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 48819771
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 769, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539939565568960, 'target_is_minimal': False, 'target_label': '960.4.f.l.769.2', 'target_level': 960, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48819772
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 769, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021941428716480, 'target_is_minimal': False, 'target_label': '960.4.f.g.769.1', 'target_level': 960, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 48819773
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 769, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539939565568960, 'target_is_minimal': False, 'target_label': '960.4.f.l.769.1', 'target_level': 960, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 48819774
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 769, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021941428716480, 'target_is_minimal': False, 'target_label': '960.4.f.g.769.2', 'target_level': 960, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 48819775
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542919233896, 'target_is_minimal': False, 'target_label': '360.4.f.c.289.2', 'target_level': 360, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48819776
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542919233896, 'target_is_minimal': False, 'target_label': '360.4.f.c.289.1', 'target_level': 360, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 48819777
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618787770336432, 'source_is_minimal': False, 'source_label': '1200.4.a.bh.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391124002568, 'target_is_minimal': False, 'target_label': '1800.4.a.y.1.1', 'target_level': 1800, 'twist_class_label': '120.4.f.a.49.1', 'twist_class_level': 120, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1368025
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 2}
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id: 1368026
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 3}
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id: 1368027
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 5}
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id: 1368028
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 7}
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id: 1368029
{'charpoly_factorization': [[[-46, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 11}
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id: 1368030
{'charpoly_factorization': [[[-34, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 13}
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id: 1368031
{'charpoly_factorization': [[[66, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 17}
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id: 1368032
{'charpoly_factorization': [[[104, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 19}
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id: 1368033
{'charpoly_factorization': [[[-164, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 23}
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id: 1368034
{'charpoly_factorization': [[[-224, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 29}
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id: 1368035
{'charpoly_factorization': [[[-72, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 31}
-
id: 1368036
{'charpoly_factorization': [[[-22, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 37}
-
id: 1368037
{'charpoly_factorization': [[[-194, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 41}
-
id: 1368038
{'charpoly_factorization': [[[-108, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 43}
-
id: 1368039
{'charpoly_factorization': [[[480, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 47}
-
id: 1368040
{'charpoly_factorization': [[[286, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 53}
-
id: 1368041
{'charpoly_factorization': [[[426, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 59}
-
id: 1368042
{'charpoly_factorization': [[[-698, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 61}
-
id: 1368043
{'charpoly_factorization': [[[-328, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 67}
-
id: 1368044
{'charpoly_factorization': [[[188, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 71}
-
id: 1368045
{'charpoly_factorization': [[[-740, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 73}
-
id: 1368046
{'charpoly_factorization': [[[1168, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 79}
-
id: 1368047
{'charpoly_factorization': [[[-412, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 83}
-
id: 1368048
{'charpoly_factorization': [[[-1206, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 89}
-
id: 1368049
{'charpoly_factorization': [[[-1384, 1], 1]], 'hecke_orbit_code': 148618787770336432, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 34, 'label': '1200.4.a.bh', 'level': 1200, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 69453319
{'hecke_orbit_code': 148618787770336432, 'n': 1, 'trace_an': 1}
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id: 69453320
{'hecke_orbit_code': 148618787770336432, 'n': 2, 'trace_an': 0}
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id: 69453321
{'hecke_orbit_code': 148618787770336432, 'n': 3, 'trace_an': 3}
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id: 69453322
{'hecke_orbit_code': 148618787770336432, 'n': 4, 'trace_an': 0}
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id: 69453323
{'hecke_orbit_code': 148618787770336432, 'n': 5, 'trace_an': 0}
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id: 69453324
{'hecke_orbit_code': 148618787770336432, 'n': 6, 'trace_an': 0}
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id: 69453325
{'hecke_orbit_code': 148618787770336432, 'n': 7, 'trace_an': 10}
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id: 69453326
{'hecke_orbit_code': 148618787770336432, 'n': 8, 'trace_an': 0}
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id: 69453327
{'hecke_orbit_code': 148618787770336432, 'n': 9, 'trace_an': 9}
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id: 69453328
{'hecke_orbit_code': 148618787770336432, 'n': 10, 'trace_an': 0}
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id: 69453329
{'hecke_orbit_code': 148618787770336432, 'n': 11, 'trace_an': 46}
-
id: 69453330
{'hecke_orbit_code': 148618787770336432, 'n': 12, 'trace_an': 0}
-
id: 69453331
{'hecke_orbit_code': 148618787770336432, 'n': 13, 'trace_an': 34}
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id: 69453332
{'hecke_orbit_code': 148618787770336432, 'n': 14, 'trace_an': 0}
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id: 69453333
{'hecke_orbit_code': 148618787770336432, 'n': 15, 'trace_an': 0}
-
id: 69453334
{'hecke_orbit_code': 148618787770336432, 'n': 16, 'trace_an': 0}
-
id: 69453335
{'hecke_orbit_code': 148618787770336432, 'n': 17, 'trace_an': -66}
-
id: 69453336
{'hecke_orbit_code': 148618787770336432, 'n': 18, 'trace_an': 0}
-
id: 69453337
{'hecke_orbit_code': 148618787770336432, 'n': 19, 'trace_an': -104}
-
id: 69453338
{'hecke_orbit_code': 148618787770336432, 'n': 20, 'trace_an': 0}
-
id: 69453339
{'hecke_orbit_code': 148618787770336432, 'n': 21, 'trace_an': 30}
-
id: 69453340
{'hecke_orbit_code': 148618787770336432, 'n': 22, 'trace_an': 0}
-
id: 69453341
{'hecke_orbit_code': 148618787770336432, 'n': 23, 'trace_an': 164}
-
id: 69453342
{'hecke_orbit_code': 148618787770336432, 'n': 24, 'trace_an': 0}
-
id: 69453343
{'hecke_orbit_code': 148618787770336432, 'n': 25, 'trace_an': 0}
-
id: 69453344
{'hecke_orbit_code': 148618787770336432, 'n': 26, 'trace_an': 0}
-
id: 69453345
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