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{'Nk2': 13312, 'analytic_conductor': 49.08958912477619, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [13, -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': [832, 1, [703, 261, 769], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 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': [[3, [-32, 5, 1]], [5, [-2, -3, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793359778624, 'hecke_ring_generator_nbound': 5, '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': '832.4.a.s', 'level': 832, '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, 13], 'level_radical': 26, 'minimal_twist': '13.4.a.b', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-3\\beta )q^{3}+(1+\\beta )q^{5}+(1-11\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '832.4.a', 'trace_display': [0, -5, 3, -9], 'trace_hash': 504198531842250806, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.950', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.342', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.201', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.167', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [2, 0, -5, 0, 3, 0, -9, 0, 35, 0, -80, 0, 26, 0, -33, 0, 19, 0, 84, 0, 303, 0, 196, 0, -237, 0, -335, 0, 44, 0, -86, 0, -106, 0, -107, 0, -209, 0, -65, 0, -230, 0, -287, 0, 180, 0, 435, 0, 383, 0, -481, 0, 118, 0, -18, 0, 606, 0, 368, 0, 1058, 0, -1560, 0, 39, 0, -68, 0, -796, 0, -131, 0, 456, 0, 516, 0, -762, 0, -1008, 0, 122, 0, -1958, 0, 173, 0, -2558, 0, -720, 0, -117, 0, -652, 0, -146, 0, -928, 0, 130, 0, -1258, 0, -608, 0, 803, 0, -2292, 0, -1521, 0, 395, 0, 2256, 0, 396, 0, 455, 0, -1675, 0, 1762, 0, 1136, 0, -705, 0, 312, 0, -2929, 0, -1775, 0, 2614, 0, -579, 0, -4450, 0, 505, 0, -4173, 0, -1040, 0, 882, 0, -3482, 0, 4512, 0, -3771, 0, 2500, 0, 160, 0, -2680, 0, -1060, 0, -2004, 0, -4790, 0, 606, 0, -2534, 0, 338, 0, -2610, 0, 4398, 0, 786, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [19, 17, 17, 19], 'Nk2': 13312, 'analytic_conductor': 49.08958912477619, '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': [832, 1, [703, 261, 769], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 324, 'dim': 72, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 67109696, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 4, 5, 5, 6, 6], 'label': '832.4.a', 'level': 832, '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, 13], 'level_radical': 26, 'mf_dim': 348, 'mf_new_dim': 72, 'num_forms': 35, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 448, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 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'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48218551
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793359778624, 'target_is_minimal': False, 'target_label': '832.4.a.s.1.1', 'target_level': 832, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48218552
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990751372096, 'target_is_minimal': False, 'target_label': '832.4.a.z.1.2', 'target_level': 832, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48218553
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702544, 'target_is_minimal': False, 'target_label': '208.4.a.h.1.1', 'target_level': 208, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48218554
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479373, 'target_is_minimal': True, 'target_label': '13.4.a.b.1.1', 'target_level': 13, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48218555
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798949220469, 'target_is_minimal': False, 'target_label': '117.4.a.d.1.2', 'target_level': 117, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48218556
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597190006114128, 'target_is_minimal': False, 'target_label': '1872.4.a.bb.1.2', 'target_level': 1872, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48218557
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 274, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014467296067909, 'target_is_minimal': False, 'target_label': '325.4.b.e.274.3', 'target_level': 325, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 48218558
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998203961669, 'target_is_minimal': False, 'target_label': '325.4.a.f.1.2', 'target_level': 325, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 48218559
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 274, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467296067909, 'target_is_minimal': False, 'target_label': '325.4.b.e.274.2', 'target_level': 325, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 48218560
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479997, 'target_is_minimal': False, 'target_label': '637.4.a.b.1.1', 'target_level': 637, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 48218561
{'conductor': 88, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599694480933, 'target_is_minimal': False, 'target_label': '1573.4.a.b.1.2', 'target_level': 1573, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '88.21', 'twisting_conrey_index': 21, 'weight': 4}
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id: 48218562
{'conductor': 104, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 168, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518066923438249, 'target_is_minimal': False, 'target_label': '169.4.b.f.168.3', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48218563
{'conductor': 104, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 168, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518066923438249, 'target_is_minimal': False, 'target_label': '169.4.b.f.168.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.21', 'twisting_conrey_index': 21, 'weight': 4}
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id: 48218564
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 22, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735270285481, 'target_is_minimal': False, 'target_label': '169.4.c.g.22.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 48218565
{'conductor': 104, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 147, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.147.3', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 48218566
{'conductor': 104, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 23, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.23.3', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.45', 'twisting_conrey_index': 45, 'weight': 4}
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id: 48218567
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 146, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735270285481, 'target_is_minimal': False, 'target_label': '169.4.c.g.146.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.61', 'twisting_conrey_index': 61, 'weight': 4}
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id: 48218568
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 146, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532534152396969, 'target_is_minimal': False, 'target_label': '169.4.c.j.146.1', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.69', 'twisting_conrey_index': 69, 'weight': 4}
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id: 48218569
{'conductor': 104, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597831332009, 'target_is_minimal': False, 'target_label': '169.4.a.g.1.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 48218570
{'conductor': 104, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 23, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.23.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.85', 'twisting_conrey_index': 85, 'weight': 4}
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id: 48218571
{'conductor': 104, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 147, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.147.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.93', 'twisting_conrey_index': 93, 'weight': 4}
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id: 48218572
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 22, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532534152396969, 'target_is_minimal': False, 'target_label': '169.4.c.j.22.1', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '104.101', 'twisting_conrey_index': 101, 'weight': 4}
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id: 48218573
{'conductor': 312, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793359778624, 'source_is_minimal': False, 'source_label': '832.4.a.s.1.1', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193732408817, 'target_is_minimal': False, 'target_label': '1521.4.a.r.1.1', 'target_level': 1521, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '312.77', 'twisting_conrey_index': 77, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1284700
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793359778624, 'p': 2}
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id: 1284701
{'charpoly_factorization': [[[-32, 5, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 3}
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id: 1284702
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 5}
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id: 1284703
{'charpoly_factorization': [[[-494, 9, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 7}
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id: 1284704
{'charpoly_factorization': [[[988, 80, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 11}
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id: 1284705
{'charpoly_factorization': [[[-13, 1], 2]], 'hecke_orbit_code': 81064793359778624, 'p': 13}
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id: 1284706
{'charpoly_factorization': [[[-1138, -19, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 17}
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id: 1284707
{'charpoly_factorization': [[[-2588, -84, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 19}
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id: 1284708
{'charpoly_factorization': [[[8992, -196, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 23}
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id: 1284709
{'charpoly_factorization': [[[-38684, -44, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 29}
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id: 1284710
{'charpoly_factorization': [[[-3064, 86, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 31}
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id: 1284711
{'charpoly_factorization': [[[10814, 209, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 37}
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id: 1284712
{'charpoly_factorization': [[[11168, 230, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 41}
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id: 1284713
{'charpoly_factorization': [[[-66316, 287, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 43}
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id: 1284714
{'charpoly_factorization': [[[-14918, -435, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 47}
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id: 1284715
{'charpoly_factorization': [[[-344, -118, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 53}
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id: 1284716
{'charpoly_factorization': [[[-31492, -368, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 59}
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id: 1284717
{'charpoly_factorization': [[[126416, -1058, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 61}
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id: 1284718
{'charpoly_factorization': [[[-227596, 68, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 67}
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id: 1284719
{'charpoly_factorization': [[[-222494, 131, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 71}
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id: 1284720
{'charpoly_factorization': [[[-235316, -456, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 73}
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id: 1284721
{'charpoly_factorization': [[[247216, 1008, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 79}
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id: 1284722
{'charpoly_factorization': [[[817664, 1958, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 83}
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id: 1284723
{'charpoly_factorization': [[[-510212, 720, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 89}
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id: 1284724
{'charpoly_factorization': [[[-881476, 928, 1], 1]], 'hecke_orbit_code': 81064793359778624, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '832.4.a.s', 'level': 832, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 63415345
{'hecke_orbit_code': 81064793359778624, 'n': 1, 'trace_an': 2}
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id: 63415346
{'hecke_orbit_code': 81064793359778624, 'n': 2, 'trace_an': 0}
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id: 63415347
{'hecke_orbit_code': 81064793359778624, 'n': 3, 'trace_an': -5}
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id: 63415348
{'hecke_orbit_code': 81064793359778624, 'n': 4, 'trace_an': 0}
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id: 63415349
{'hecke_orbit_code': 81064793359778624, 'n': 5, 'trace_an': 3}
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id: 63415350
{'hecke_orbit_code': 81064793359778624, 'n': 6, 'trace_an': 0}
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id: 63415351
{'hecke_orbit_code': 81064793359778624, 'n': 7, 'trace_an': -9}
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id: 63415352
{'hecke_orbit_code': 81064793359778624, 'n': 8, 'trace_an': 0}
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id: 63415353
{'hecke_orbit_code': 81064793359778624, 'n': 9, 'trace_an': 35}
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id: 63415354
{'hecke_orbit_code': 81064793359778624, 'n': 10, 'trace_an': 0}
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id: 63415355
{'hecke_orbit_code': 81064793359778624, 'n': 11, 'trace_an': -80}
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id: 63415356
{'hecke_orbit_code': 81064793359778624, 'n': 12, 'trace_an': 0}
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id: 63415357
{'hecke_orbit_code': 81064793359778624, 'n': 13, 'trace_an': 26}
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