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mf_newforms • Show schema
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{'Nk2': 1764, 'analytic_conductor': 3.521402729138465, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [441, 3, [344, 199], [1, 2]], 'cm_discs': [], 'conrey_index': 67, '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]], [5, [-3, 0, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977785785, 'hecke_ring_generator_nbound': 3, '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, 63, 7, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '441.2.g.b', 'level': 441, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '63.2.f.a', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(\\beta_{5}+\\beta_1-1)q^{2}+(\\beta_{4}+\\beta_{2})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '441.2.g', 'trace_display': [-3, 0, -6, 0], 'trace_hash': 2202971218738328014, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.065', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '138.026', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5470.434', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [6, -3, 0, -3, -6, 9, 0, 12, 0, 0, 12, 9, -3, 0, -9, -3, 6, 9, -3, -6, 0, -9, 24, -18, -12, -3, -27, 0, -9, -9, -3, 0, -9, 9, 0, -27, 3, -12, -18, 18, 0, 0, 3, -15, 18, 0, 3, 0, 0, 6, -9, 42, -6, 0, 0, 0, -9, -18, -3, 9, 6, 60, 0, 24, -15, 18, 12, -12, 9, 0, 18, 45, -21, -60, 9, 15, 0, 54, 21, -15, 0, -9, -18, 0, -9, 12, -36, 54, 12, -27, 0, -3, -27, -18, 12, 0, -3, 0, 18, 15, 42, 9, -12, -60, 0, -18, -3, 27, -15, -9, 27, 0, -36, 18, -18, 36, -54, -54, 0, -18, -30, -12, 18, -30, 24, 0, -24, -3, -9, -36, 30, 36, 0, -42, 27, 0, 30, 36, 15, 0, 45, -9, -24, -27, 36, -48, 0, 30, -12, -18, -6, 12, -18, 0, 3, -90, -3, 30, 9, -9, 0, -27, -6, 18, -18, -18, -9, 0, -36, -9, 27, -6, 39, 54, 0, -24, 0, -18, 21, -9, 42, 0, 27, 90, -3, -9, 9, 30, 0, -18, -3, 27, -15, -30, 54, 0, 90, 0, 6, -78, 27, -36, 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mf_hecke_cc • Show schema
Hide schema
{'an_normalized': [[1.0, 0.0], [0.31090963379540093, 0.5385112822962681], [0.6427876096865394, -0.766044443118978], [0.30667039922641937, -0.5311687126375897], [-0.6025292472728447, 0.0], [0.6123724356957945, 0.10797778265532806], [0.0, 0.0], [1.0032063936683038, 0.0], [-0.17364817766693036, -0.984807753012208], [-0.18733214762061876, -0.3244687975699048], [0.49830889809185813, 0.0], [-0.20977490779432, -0.5763518223330697], [-0.46727737374565104, -0.809348152554819], [0.0, 0.0], [-0.3872983346207417, 0.4615641816900234], [0.005236133250197761, 0.009069248824543283], [0.05674255721886201, 0.09828099205445318], [0.4763411945622466, -0.3996977206717261], [-0.3701257632603761, 0.6410766271571815], [-0.18477788480675725, 0.3200446846004129], [0.0, 0.0], [0.15492903702272937, 0.2683449636910869], [1.8648618014566878, 0.0], [0.6448486398083023, -0.7685006831710339], [-0.6369585061808191, 0.0], [0.2905620743042741, -0.5032682754476061], [-0.8660254037844386, -0.5], [0.0, 0.0], 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'embedding_root_real': 0.9396926207859084, 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977785785, 'label': '441.2.g.b.79.3', 'level': 441, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1764, 'analytic_conductor': 3.521402729138465, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [441, 3, [344, 199], [1, 2]], 'conrey_index': 67, 'cusp_dim': 96, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 412350415289, 'hecke_orbit_dims': [2, 6, 6, 6, 6, 10, 12, 24], 'label': '441.2.g', 'level': 441, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 128, 'mf_new_dim': 88, 'num_forms': 8, 'prim_orbit_index': 7, 'relative_dim': 36, 'sturm_bound': 112, 'trace_bound': 5, 'trace_display': [-1, 1, 10, 0], 'traces': [72, -1, 1, -33, 10, 2, 0, -12, -1, 6, -6, -19, 3, 0, 10, -27, -9, 19, 0, -4, 0, 0, -8, -12, 42, -16, 7, 0, -18, 72, 3, 41, 16, 0, 0, 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mf_twists_cc • Show schema
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id: 35377314
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504011977785785, 'target_is_minimal': False, 'target_label': '441.2.g.b.79.3', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35377315
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859898155, 'target_is_minimal': False, 'target_label': '1323.2.g.e.667.1', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35377316
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 295, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007542885679545, 'target_is_minimal': False, 'target_label': '441.2.f.c.295.3', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35377317
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 214, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511279952003513, 'target_is_minimal': False, 'target_label': '441.2.h.d.214.1', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35377318
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 214, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879579374009, 'target_is_minimal': False, 'target_label': '441.2.h.e.214.1', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35377319
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 43, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343630938175, 'target_is_minimal': True, 'target_label': '63.2.f.a.43.3', 'target_level': 63, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35377320
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007611605156281, 'target_is_minimal': False, 'target_label': '441.2.g.c.79.3', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35377321
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879579374009, 'target_is_minimal': False, 'target_label': '441.2.h.e.373.1', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35377322
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504080697263403, 'target_is_minimal': False, 'target_label': '1323.2.h.b.226.3', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35377323
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511142513050923, 'target_is_minimal': False, 'target_label': '1323.2.f.d.883.1', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35377324
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 127, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308797, 'target_is_minimal': False, 'target_label': '189.2.f.b.127.1', 'target_level': 189, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35377325
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 802, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504080697263403, 'target_is_minimal': False, 'target_label': '1323.2.h.b.802.3', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35377326
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 802, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007680324633899, 'target_is_minimal': False, 'target_label': '1323.2.h.c.802.3', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 35377327
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232527659, 'target_is_minimal': False, 'target_label': '1323.2.g.d.667.1', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35377328
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 673, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526365656253424, 'target_is_minimal': False, 'target_label': '1008.2.r.h.673.2', 'target_level': 1008, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 35377329
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539595934633857, 'target_is_minimal': False, 'target_label': '3969.2.a.l.1.3', 'target_level': 3969, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35377330
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504011977785785, 'target_is_minimal': False, 'target_label': '441.2.g.b.67.3', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35377331
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 64, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308797, 'target_is_minimal': False, 'target_label': '189.2.f.b.64.1', 'target_level': 189, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35377332
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511279952003513, 'target_is_minimal': False, 'target_label': '441.2.h.d.373.1', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35377333
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071486337, 'target_is_minimal': False, 'target_label': '3969.2.a.q.1.1', 'target_level': 3969, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 35377334
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 442, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511142513050923, 'target_is_minimal': False, 'target_label': '1323.2.f.d.442.1', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35377335
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007611605156281, 'target_is_minimal': False, 'target_label': '441.2.g.c.67.3', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35377336
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859898155, 'target_is_minimal': False, 'target_label': '1323.2.g.e.361.1', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35377337
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 22, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343630938175, 'target_is_minimal': True, 'target_label': '63.2.f.a.22.3', 'target_level': 63, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 35377338
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007680324633899, 'target_is_minimal': False, 'target_label': '1323.2.h.c.226.3', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 35377339
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007199288295991, 'target_is_minimal': False, 'target_label': '567.2.a.c.1.3', 'target_level': 567, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 35377340
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 148, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007542885679545, 'target_is_minimal': False, 'target_label': '441.2.f.c.148.3', 'target_level': 441, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 35377341
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232527659, 'target_is_minimal': False, 'target_label': '1323.2.g.d.361.1', 'target_level': 1323, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35377342
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148471, 'target_is_minimal': False, 'target_label': '567.2.a.h.1.1', 'target_level': 567, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 35377343
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 2017, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45037164538366928, 'target_is_minimal': False, 'target_label': '3024.2.r.k.2017.2', 'target_level': 3024, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 35377344
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637865328, 'target_is_minimal': False, 'target_label': '9072.2.a.bs.1.2', 'target_level': 9072, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '252.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 35377345
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526365656253424, 'target_is_minimal': False, 'target_label': '1008.2.r.h.337.2', 'target_level': 1008, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '252.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 35377346
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45037164538366928, 'target_is_minimal': False, 'target_label': '3024.2.r.k.1009.2', 'target_level': 3024, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '252.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 35377347
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977785785, 'source_is_minimal': False, 'source_label': '441.2.g.b.79.3', 'source_level': 441, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 234187180656829296, 'target_is_minimal': False, 'target_label': '9072.2.a.ca.1.2', 'target_level': 9072, 'twist_class_label': '63.2.f.a.22.3', 'twist_class_level': 63, 'twisting_char_label': '252.187', 'twisting_conrey_index': 187, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 891150
{'charpoly_factorization': [[[9, 0, 9, 6, 9, 3, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 2}
-
id: 891151
{'charpoly_factorization': [[[27, 0, 0, 9, 0, 0, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 3}
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id: 891152
{'charpoly_factorization': [[[-3, 0, 3, 1], 2]], 'hecke_orbit_code': 4504011977785785, 'p': 5}
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id: 891153
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4504011977785785, 'p': 7}
-
id: 891154
{'charpoly_factorization': [[[-3, 9, -6, 1], 2]], 'hecke_orbit_code': 4504011977785785, 'p': 11}
-
id: 891155
{'charpoly_factorization': [[[11449, 3531, 1410, 115, 42, 3, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 13}
-
id: 891156
{'charpoly_factorization': [[[9, -27, 63, -48, 27, -6, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 17}
-
id: 891157
{'charpoly_factorization': [[[289, 102, 87, 16, 15, 3, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 19}
-
id: 891158
{'charpoly_factorization': [[[3, 27, -12, 1], 2]], 'hecke_orbit_code': 4504011977785785, 'p': 23}
-
id: 891159
{'charpoly_factorization': [[[110889, 11988, 4293, 342, 117, 9, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 29}
-
id: 891160
{'charpoly_factorization': [[[104329, 25194, 7053, 412, 87, 3, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 31}
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id: 891161
{'charpoly_factorization': [[[104329, -25194, 7053, -412, 87, -3, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 37}
-
id: 891162
{'charpoly_factorization': [[[81, 81, 81, 18, 9, 0, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 41}
-
id: 891163
{'charpoly_factorization': [[[1, 6, 33, 20, 15, -3, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 43}
-
id: 891164
{'charpoly_factorization': [[[2601, 2754, 2763, 264, 63, -3, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 47}
-
id: 891165
{'charpoly_factorization': [[[9, -27, 63, -60, 45, 6, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 53}
-
id: 891166
{'charpoly_factorization': [[[2601, -3672, 5031, -318, 81, 3, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 59}
-
id: 891167
{'charpoly_factorization': [[[361, -285, 339, 52, 51, -6, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 61}
-
id: 891168
{'charpoly_factorization': [[[289, 357, 645, -286, 123, -12, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 67}
-
id: 891169
{'charpoly_factorization': [[[-27, -54, -9, 1], 2]], 'hecke_orbit_code': 4504011977785785, 'p': 71}
-
id: 891170
{'charpoly_factorization': [[[72361, -22596, 12705, 2302, 357, 21, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 73}
-
id: 891171
{'charpoly_factorization': [[[32761, -21720, 10599, -2158, 321, -21, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 79}
-
id: 891172
{'charpoly_factorization': [[[81, 405, 1863, 792, 279, 18, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 83}
-
id: 891173
{'charpoly_factorization': [[[660969, -51219, 13725, -870, 207, -12, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 89}
-
id: 891174
{'charpoly_factorization': [[[104329, 54264, 29193, 142, 177, 3, 1], 1]], 'hecke_orbit_code': 4504011977785785, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '441.2.g.b', 'level': 441, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 22718425
{'hecke_orbit_code': 4504011977785785, 'n': 1, 'trace_an': 6}
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id: 22718426
{'hecke_orbit_code': 4504011977785785, 'n': 2, 'trace_an': -3}
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id: 22718427
{'hecke_orbit_code': 4504011977785785, 'n': 3, 'trace_an': 0}
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id: 22718428
{'hecke_orbit_code': 4504011977785785, 'n': 4, 'trace_an': -3}
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