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{'Nk2': 12288, 'analytic_conductor': 45.31346688440879, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [768, 1, [511, 517, 257], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 9792, 'field_disc_factorization': [[2, 6], [3, 2], [17, 1]], 'field_poly': [7, 2, -7, -2, 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': 1, 'hecke_cutters': [[5, [9792, 0, -336, 0, 1]], [7, [9792, 0, -1104, 0, 1]], [11, [-368, 24, 1]], [19, [-4464, 24, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992614519552, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1024, 'hecke_ring_index_factorization': [[2, 10]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '768.4.a.u', 'level': 768, '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], 'level_radical': 6, 'minimal_twist': '384.4.d.f', 'nf_label': '4.4.9792.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}+\\beta _{1}q^{5}+(-\\beta _{1}+\\beta _{3})q^{7}+9q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '768.4.a', 'trace_display': [0, -12, 0, 0], 'trace_hash': 1549071298339889759, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_newspaces • Show schema
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{'ALdims': [12, 10, 12, 14], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [12, 12, 12, 12], 'ALdims_old': [80, 78, 76, 78], 'Nk2': 12288, 'analytic_conductor': 45.31346688440879, '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': [768, 1, [511, 517, 257], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 360, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 19], 'hecke_orbit_code': 67109632, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4], 'label': '768.4.a', 'level': 768, '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], 'level_radical': 6, 'mf_dim': 408, 'mf_new_dim': 48, 'num_forms': 22, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 512, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 912, 0, 0, 0, 0, 0, 0, 0, -672, 0, 0, 0, 0, 0, 0, 0, 1952, 0, 0, 0, 0, 0, 0, 0, 2048, 0, 0, 0, 0, 0, 0, 0, 3888, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 3168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4320, 0, 0, 0, 0, 0, 0, 0, 11248, 0, 0, 0, 0, 0, 0, 0, 6240, 0, 0, 0, 0, 0, 0, 0, 2368, 0, 0, 0, 0, 0, 0, 0, -5728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2240, 0, 0, 0, 0, 0, 0, 0, 18192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9568, 0, 0, 0, 0, 0, 0, 0, -8384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14688, 0, 0, 0, 0, 0, 0, 0, 10800, 0, 0, 0, 0, 0, 0, 0, -30240, 0, 0, 0, 0, 0, 0, 0, 15168, 0, 0, 0, 0, 0, 0, 0, 13632, 0, 0, 0, 0, 0, 0, 0, -8096, 0, 0, 0, 0, 0, 0, 0, 3232, 0, 0, 0, 0, 0, 0, 0, 20064, 0, 0, 0, 0, 0, 0, 0, -31072, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -61280, 0, 0, 0, 0, 0, 0, 0, -53184, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -43968, 0, 0, 0, 0, 0, 0, 0, -10240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55840, 0, 0, 0, 0, 0, 0, 0, 9456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3424, 0, 0, 0, 0, 0, 0, 0, 12672, 0, 0, 0, 0, 0, 0, 0, 22848, 0, 0, 0, 0, 0, 0, 0, -48320, 0, 0, 0, 0, 0, 0, 0, 35808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13248, 0, 0, 0, 0, 0, 0, 0, 1440, 0, 0, 0, 0, 0, 0, 0, 8208, 0, 0, 0, 0, 0, 0, 0, -56960, 0, 0, 0, 0, 0, 0, 0, -65312, 0, 0, 0, 0, 0, 0, 0, -18816, 0, 0, 0, 0, 0, 0, 0, -70912, 0, 0, 0, 0, 0, 0, 0, 4288, 0, 0, 0, 0, 0, 0, 0, 40800, 0, 0, 0, 0, 0, 0, 0, 56128, 0, 0, 0, 0, 0, 0, 0, 51104, 0, 0, 0, 0, 0, 0, 0, -6048, 0, 0, 0, 0, 0, 0, 0, 80832, 0, 0, 0, 0, 0, 0, 0, 30256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 86560, 0, 0, 0, 0, 0, 0, 0, -87584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10880, 0, 0, 0, 0, 0, 0, 0, 116160, 0, 0, 0, 0, 0, 0, 0, 17568, 0, 0, 0, 0, 0, 0, 0, 59360, 0, 0, 0, 0, 0, 0, 0, -35520, 0, 0, 0, 0, 0, 0, 0, -18624, 0, 0, 0, 0, 0, 0, 0, 59552, 0, 0, 0, 0, 0, 0, 0, 123216, 0, 0, 0, 0, 0, 0, 0, 76416, 0, 0, 0, 0, 0, 0, 0, -12864, 0, 0, 0, 0, 0, 0, 0, 148736, 0, 0, 0, 0, 0, 0, 0, 18432, 0, 0, 0, 0, 0, 0, 0, 219776, 0, 0, 0, 0, 0, 0, 0, 117664, 0, 0, 0, 0, 0, 0, 0, -69312, 0, 0, 0, 0, 0, 0, 0, -126368, 0, 0, 0, 0, 0, 0, 0, -85952, 0, 0, 0, 0, 0, 0, 0, 48768, 0, 0, 0, 0, 0, 0, 0, -117696, 0, 0, 0, 0, 0, 0, 0, 30368, 0, 0, 0, 0, 0, 0, 0, 34992, 0, 0, 0, 0, 0, 0, 0, -163072, 0, 0, 0, 0, 0, 0, 0, 186528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35456, 0, 0, 0, 0, 0, 0, 0, -220608, 0, 0, 0, 0, 0, 0, 0, 21024, 0, 0, 0, 0, 0, 0, 0, -28640, 0, 0, 0, 0, 0, 0, 0, -76480, 0, 0, 0, 0, 0, 0, 0, -3168, 0, 0, 0, 0, 0, 0, 0, 35904, 0, 0, 0, 0, 0, 0, 0, -195840, 0, 0, 0, 0, 0, 0, 0, -211584, 0, 0, 0, 0, 0, 0, 0, 352448, 0, 0, 0, 0, 0, 0, 0, -131664, 0, 0, 0, 0, 0, 0, 0, -40128, 0, 0, 0, 0, 0, 0, 0, -50560, 0, 0, 0, 0, 0, 0, 0, -246880, 0, 0, 0, 0, 0, 0, 0, 28512, 0, 0, 0, 0, 0, 0, 0, 364000, 0, 0, 0, 0, 0, 0, 0, 383648, 0, 0, 0, 0, 0, 0, 0, -110016, 0, 0, 0, 0, 0, 0, 0, 127392, 0, 0, 0, 0, 0, 0, 0, -35200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 460224, 0, 0, 0, 0, 0, 0, 0, -278688, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -94272, 0, 0, 0, 0, 0, 0, 0, 123664, 0, 0, 0, 0, 0, 0, 0, -244032, 0, 0, 0, 0, 0, 0, 0, 180160, 0, 0, 0, 0, 0, 0, 0, -169568, 0, 0, 0, 0, 0, 0, 0, -5952, 0, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48350990
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992614519552, 'target_is_minimal': False, 'target_label': '768.4.a.u.1.1', 'target_level': 768, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48350991
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 238690780317747456, 'target_is_minimal': False, 'target_label': '2304.4.a.cb.1.4', 'target_level': 2304, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48350992
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592241890048, 'target_is_minimal': False, 'target_label': '768.4.a.v.1.1', 'target_level': 768, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48350993
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 90071992614519552, 'target_is_minimal': False, 'target_label': '768.4.a.u.1.4', 'target_level': 768, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48350994
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94575592241890048, 'target_is_minimal': False, 'target_label': '768.4.a.v.1.4', 'target_level': 768, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48350995
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 225179981435635968, 'target_is_minimal': False, 'target_label': '2304.4.a.by.1.4', 'target_level': 2304, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48350996
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 193, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 22518204362391936, 'target_is_minimal': True, 'target_label': '384.4.d.f.193.8', 'target_level': 384, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48350997
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 193, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518204362391936, 'target_is_minimal': True, 'target_label': '384.4.d.f.193.5', 'target_level': 384, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48350998
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 193, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204362391936, 'target_is_minimal': True, 'target_label': '384.4.d.f.193.1', 'target_level': 384, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48350999
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 193, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518204362391936, 'target_is_minimal': True, 'target_label': '384.4.d.f.193.4', 'target_level': 384, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 48351000
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 225179981435635968, 'target_is_minimal': False, 'target_label': '2304.4.a.by.1.1', 'target_level': 2304, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48351001
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 238690780317747456, 'target_is_minimal': False, 'target_label': '2304.4.a.cb.1.1', 'target_level': 2304, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48351002
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 577, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 67554200636097664, 'target_is_minimal': False, 'target_label': '1152.4.d.p.577.7', 'target_level': 1152, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48351003
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 577, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 67554200636097664, 'target_is_minimal': False, 'target_label': '1152.4.d.p.577.8', 'target_level': 1152, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48351004
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 577, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554200636097664, 'target_is_minimal': False, 'target_label': '1152.4.d.p.577.1', 'target_level': 1152, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 48351005
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992614519552, 'source_is_minimal': False, 'source_label': '768.4.a.u.1.1', 'source_level': 768, 'target_conrey_index': 577, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554200636097664, 'target_is_minimal': False, 'target_label': '1152.4.d.p.577.2', 'target_level': 1152, 'twist_class_label': '384.4.d.f.193.1', 'twist_class_level': 384, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1302675
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992614519552, 'p': 2}
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id: 1302676
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 90071992614519552, 'p': 3}
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id: 1302677
{'charpoly_factorization': [[[9792, 0, -336, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 5}
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id: 1302678
{'charpoly_factorization': [[[9792, 0, -1104, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 7}
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id: 1302679
{'charpoly_factorization': [[[-368, 24, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 11}
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id: 1302680
{'charpoly_factorization': [[[12690432, 0, -8640, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 13}
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id: 1302681
{'charpoly_factorization': [[[-3708, -60, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 17}
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id: 1302682
{'charpoly_factorization': [[[-4464, 24, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 19}
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id: 1302683
{'charpoly_factorization': [[[621831168, 0, -53568, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 23}
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id: 1302684
{'charpoly_factorization': [[[419577408, 0, -41040, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 29}
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id: 1302685
{'charpoly_factorization': [[[461095488, 0, -55248, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 31}
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id: 1302686
{'charpoly_factorization': [[[2487324672, 0, -107136, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 37}
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id: 1302687
{'charpoly_factorization': [[[-104796, -204, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 41}
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id: 1302688
{'charpoly_factorization': [[[12816, 264, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 43}
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id: 1302689
{'charpoly_factorization': [[[21332616192, 0, -302400, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 47}
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id: 1302690
{'charpoly_factorization': [[[806557248, 0, -87888, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 53}
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id: 1302691
{'charpoly_factorization': [[[87952, 936, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 59}
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id: 1302692
{'charpoly_factorization': [[[270509248512, 0, -1040256, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 61}
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id: 1302693
{'charpoly_factorization': [[[272016, 1176, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 67}
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id: 1302694
{'charpoly_factorization': [[[297070322688, 0, -1104192, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 71}
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id: 1302695
{'charpoly_factorization': [[[-236348, -484, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 73}
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id: 1302696
{'charpoly_factorization': [[[1904357952, 0, -1039824, 0, 1], 1]], 'hecke_orbit_code': 90071992614519552, 'p': 79}
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id: 1302697
{'charpoly_factorization': [[[577936, 1704, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 83}
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id: 1302698
{'charpoly_factorization': [[[676836, 1836, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 89}
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id: 1302699
{'charpoly_factorization': [[[118468, 740, 1], 2]], 'hecke_orbit_code': 90071992614519552, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '768.4.a.u', 'level': 768, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 64668709
{'hecke_orbit_code': 90071992614519552, 'n': 1, 'trace_an': 4}
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id: 64668710
{'hecke_orbit_code': 90071992614519552, 'n': 2, 'trace_an': 0}
-
id: 64668711
{'hecke_orbit_code': 90071992614519552, 'n': 3, 'trace_an': -12}
-
id: 64668712
{'hecke_orbit_code': 90071992614519552, 'n': 4, 'trace_an': 0}
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id: 64668713
{'hecke_orbit_code': 90071992614519552, 'n': 5, 'trace_an': 0}
-
id: 64668714
{'hecke_orbit_code': 90071992614519552, 'n': 6, 'trace_an': 0}
-
id: 64668715
{'hecke_orbit_code': 90071992614519552, 'n': 7, 'trace_an': 0}
-
id: 64668716
{'hecke_orbit_code': 90071992614519552, 'n': 8, 'trace_an': 0}
-
id: 64668717
{'hecke_orbit_code': 90071992614519552, 'n': 9, 'trace_an': 36}
-
id: 64668718
{'hecke_orbit_code': 90071992614519552, 'n': 10, 'trace_an': 0}
-
id: 64668719
{'hecke_orbit_code': 90071992614519552, 'n': 11, 'trace_an': -48}
-
id: 64668720
{'hecke_orbit_code': 90071992614519552, 'n': 12, 'trace_an': 0}
-
id: 64668721
{'hecke_orbit_code': 90071992614519552, 'n': 13, 'trace_an': 0}
-
id: 64668722
{'hecke_orbit_code': 90071992614519552, 'n': 14, 'trace_an': 0}
-
id: 64668723
{'hecke_orbit_code': 90071992614519552, 'n': 15, 'trace_an': 0}
-
id: 64668724
{'hecke_orbit_code': 90071992614519552, 'n': 16, 'trace_an': 0}
-
id: 64668725
{'hecke_orbit_code': 90071992614519552, 'n': 17, 'trace_an': 120}
-
id: 64668726
{'hecke_orbit_code': 90071992614519552, 'n': 18, 'trace_an': 0}
-
id: 64668727
{'hecke_orbit_code': 90071992614519552, 'n': 19, 'trace_an': -48}
-
id: 64668728
{'hecke_orbit_code': 90071992614519552, 'n': 20, 'trace_an': 0}
-
id: 64668729
{'hecke_orbit_code': 90071992614519552, 'n': 21, 'trace_an': 0}
-
id: 64668730
{'hecke_orbit_code': 90071992614519552, 'n': 22, 'trace_an': 0}
-
id: 64668731
{'hecke_orbit_code': 90071992614519552, 'n': 23, 'trace_an': 0}
-
id: 64668732
{'hecke_orbit_code': 90071992614519552, 'n': 24, 'trace_an': 0}
-
id: 64668733
{'hecke_orbit_code': 90071992614519552, 'n': 25, 'trace_an': 172}
-
id: 64668734
{'hecke_orbit_code': 90071992614519552, 'n': 26, 'trace_an': 0}
-
id: 64668735
{'hecke_orbit_code': 90071992614519552, 'n': 27, 'trace_an': -108}
-
id: 64668736
{'hecke_orbit_code': 90071992614519552, 'n': 28, 'trace_an': 0}
-
id: 64668737
{'hecke_orbit_code': 90071992614519552, 'n': 29, 'trace_an': 0}
-
id: 64668738
{'hecke_orbit_code': 90071992614519552, 'n': 30, 'trace_an': 0}
-
id: 64668739
{'hecke_orbit_code': 90071992614519552, 'n': 31, 'trace_an': 0}
-
id: 64668740
{'hecke_orbit_code': 90071992614519552, 'n': 32, 'trace_an': 0}
-
id: 64668741
{'hecke_orbit_code': 90071992614519552, 'n': 33, 'trace_an': 144}
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