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mf_newforms • Show schema
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{'Nk2': 3645, 'analytic_conductor': 11.035450706592025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': -1, 'char_values': [405, 12, [326, 82], [4, 9]], 'cm_discs': [], 'conrey_index': 28, 'dim': 16, 'field_disc': 384762288430300939960310562816, 'field_disc_factorization': [[2, 24], [3, 12], [7, 4], [29, 4], [71, 4]], 'field_poly': [28561, 0, 0, 0, 235936, 0, 0, 0, 15630, 0, 0, 0, 256, 0, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [28561, -92274, 149058, -160524, 11686, 103590, 55440, 27570, 3675, -2550, -720, -450, -74, 36, 18, 6, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40533152610910613, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 0], [1, 1, 15, 5, 1, 4, 0], [1, 1, 45, 11, -1, 12, 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': True, 'label': '405.3.l.j', 'level': 405, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '405.3.g.f', 'prim_orbit_index': 11, 'qexp_display': 'q+\\beta _{2}q^{2}+(-\\beta _{1}+\\beta _{4}-\\beta _{7}-2\\beta _{8}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '405.3.l', 'trace_display': [-6, 0, 12, -20], 'trace_hash': 1352090351143015007, 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mf_hecke_cc • Show schema
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'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 3645, 'analytic_conductor': 11.035450706592025, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': -1, 'char_values': [405, 12, [326, 82], [4, 9]], 'conrey_index': 28, 'cusp_dim': 384, 'dim': 184, 'eis_dim': 96, 'eis_new_dim': 16, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 755964576149, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 8, 8, 8, 16, 16, 16, 16, 32, 32], 'label': '405.3.l', 'level': 405, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 480, 'mf_new_dim': 200, 'num_forms': 15, 'prim_orbit_index': 11, 'relative_dim': 46, 'sturm_bound': 162, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [184, 0, 0, 0, 0, 0, 4, 0, 0, -8, 0, 0, 4, 0, 0, 328, 0, 0, 0, 0, 0, 20, 0, 0, 16, 0, 0, 152, 0, 0, 8, 0, 0, 0, 0, 0, 160, 0, 0, -60, 0, 0, 4, 0, 0, 728, 0, 0, 0, 0, 0, -44, 0, 0, -472, 0, 0, -252, 0, 0, -184, 0, 0, 0, 0, 0, 160, 0, 0, -96, 0, 0, -8, 0, 0, 660, 0, 0, 0, 0, 0, -88, 0, 0, 52, 0, 0, 300, 0, 0, -352, 0, 0, 0, 0, 0, -296, 0, 0, 120, 0, 0, -644, 0, 0, -1012, 0, 0, 0, 0, 0, -104, 0, 0, -284, 0, 0, -4536, 0, 0, -876, 0, 0, 0, 0, 0, -656, 0, 0, 80, 0, 0, -228, 0, 0, 720, 0, 0, 0, 0, 0, 404, 0, 0, 1896, 0, 0, 596, 0, 0, 1376, 0, 0, 0, 0, 0, -500, 0, 0, 424, 0, 0, 2320, 0, 0, 1916, 0, 0, 0, 0, 0, 1264, 0, 0, -668, 0, 0, -2292, 0, 0, 1376, 0, 0, 0, 0, 0, 1508, 0, 0, -2592, 0, 0, -476, 0, 0, -136, 0, 0, 0, 0, 0, 1376, 0, 0, 1244, 0, 0, -1712, 0, 0, 1016, 0, 0, 0, 0, 0, -1120, 0, 0, 1044, 0, 0, 2212, 0, 0, -1360, 0, 0, 0, 0, 0, -3168, 0, 0, 688, 0, 0, -2384, 0, 0, -2704, 0, 0, 0, 0, 0, -3108, 0, 0, -2144, 0, 0, -4024, 0, 0, -4520, 0, 0, 0, 0, 0, -3112, 0, 0, 2608, 0, 0, -1444, 0, 0, 464, 0, 0, 0, 0, 0, 244, 0, 0, 12528, 0, 0, 1012, 0, 0, 3568, 0, 0, 0, 0, 0, -1232, 0, 0, 1212, 0, 0, 11928, 0, 0, 5120, 0, 0, 0, 0, 0, 832, 0, 0, -604, 0, 0, 688, 0, 0, -312, 0, 0, 0, 0, 0, 4856, 0, 0, -7112, 0, 0, 3756, 0, 0, 2600, 0, 0, 0, 0, 0, 5128, 0, 0, 4100, 0, 0, 2376, 0, 0, -2356, 0, 0, 0, 0, 0, -3376, 0, 0, -796, 0, 0, 5688, 0, 0, -1448, 0, 0, 0, 0, 0, -3380, 0, 0, 4248, 0, 0, -1232, 0, 0, -4152, 0, 0, 0, 0, 0, -8620, 0, 0, -5356, 0, 0, -10864, 0, 0, -7096, 0, 0, 0, 0, 0, 136, 0, 0, 6448, 0, 0, -1252, 0, 0, 4656, 0, 0, 0, 0, 0, -4124, 0, 0, 11464, 0, 0, 372, 0, 0, 1136, 0, 0, 0, 0, 0, 1268, 0, 0, 2132, 0, 0, 2296, 0, 0, 4020, 0, 0, 0, 0, 0, 2096, 0, 0, -1284, 0, 0, -5476, 0, 0, -848, 0, 0, 0, 0, 0, 4648, 0, 0, -21872, 0, 0, -2072, 0, 0, 2216, 0, 0, 0, 0, 0, 12768, 0, 0, -984, 0, 0, 1224, 0, 0, 464, 0, 0, 0, 0, 0, -4640, 0, 0, -8668, 0, 0, 1044, 0, 0, -20488, 0, 0, 0, 0, 0, -5644, 0, 0, -8968, 0, 0, -1660, 0, 0, -9160, 0, 0, 0, 0, 0, -5008, 0, 0, -8124, 0, 0, -15224, 0, 0, -4432, 0, 0, 0, 0, 0, -312, 0, 0, -1340, 0, 0, -5328, 0, 0, 8480, 0, 0, 0, 0, 0, -5564, 0, 0, 11456, 0, 0, 348, 0, 0, 8208, 0, 0, 0, 0, 0, -1072, 0, 0, 3736, 0, 0, 25608, 0, 0, 9008, 0, 0, 0, 0, 0, 21136, 0, 0, -132, 0, 0, 3080, 0, 0, 10280, 0, 0, 0, 0, 0, 19084, 0, 0, -7656, 0, 0, 11120, 0, 0, -2776, 0, 0, 0, 0, 0, 8512, 0, 0, 4580, 0, 0, -1040, 0, 0, 96, 0, 0, 0, 0, 0, -13696, 0, 0, -368, 0, 0, 7448, 0, 0, -23392, 0, 0, 0, 0, 0, -6044, 0, 0, -8400, 0, 0, -6020, 0, 0, -12588, 0, 0, 0, 0, 0, -15332, 0, 0, 908, 0, 0, -13808, 0, 0, -4528, 0, 0, 0, 0, 0, -2616, 0, 0, -2220, 0, 0, -9116, 0, 0, 17296, 0, 0, 0, 0, 0, 3736, 0, 0, 18472, 0, 0, -7244, 0, 0, 7664, 0, 0, 0, 0, 0, 1532, 0, 0, 11048, 0, 0, 17328, 0, 0, 15008, 0, 0, 0, 0, 0, 50568, 0, 0, 4208, 0, 0, 7308, 0, 0, 7088, 0, 0, 0, 0, 0, 7600, 0, 0, -29944, 0, 0, 5728, 0, 0, 10484, 0, 0, 0, 0, 0, 7292, 0, 0, -9264, 0, 0, 11248, 0, 0, -3688, 0, 0, 0, 0, 0, -16976, 0, 0, -14940, 0, 0, 4740, 0, 0, -5560, 0, 0, 0, 0, 0, -12572, 0, 0, 680, 0, 0, 8028, 0, 0, -6200, 0, 0, 0, 0, 0, -10004, 0, 0, -7632, 0, 0, -13192, 0, 0, -21168, 0, 0, 0, 0, 0, -16696, 0, 0, 6188, 0, 0, -6000, 0, 0, 27728, 0, 0, 0, 0, 0, -10188, 0, 0, 17904, 0, 0, 988, 0, 0, 8712, 0, 0, 0, 0, 0, 8308, 0, 0, 13780, 0, 0, 6336, 0, 0, 4540, 0, 0, 0, 0, 0, 6768, 0, 0, 13644, 0, 0, 2464, 0, 0, 96, 0, 0, 0, 0, 0, 20744, 0, 0, -12344, 0, 0, 8512, 0, 0, 18272, 0, 0, 0, 0, 0, 16852, 0, 0, -16828, 0, 0, 16120, 0, 0, 2228, 0, 0, 0, 0, 0, -42416, 0, 0, -8040, 0, 0, -1176, 0, 0, -34432, 0, 0, 0, 0, 0, -3584, 0, 0, -13120, 0, 0, -2776, 0, 0, -34452, 0, 0, 0, 0, 0, -7132, 0, 0, -5840, 0, 0, -31104, 0, 0, -20544, 0, 0, 0, 0, 0, 3568, 0, 0, -11032, 0, 0, -11668, 0, 0, 33232, 0, 0, 0, 0, 0, -23940, 0, 0, 5840, 0, 0, -26820, 0, 0, 8868, 0, 0, 0, 0, 0, 2656, 0, 0, 3372, 0, 0, 5136, 0, 0, 33668, 0, 0, 0, 0, 0, 67352, 0, 0, 5140, 0, 0, 10116, 0, 0, 2384, 0, 0, 0, 0, 0, 14716, 0, 0, 9216], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 46997256
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 298, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40533152610910613, 'target_is_minimal': False, 'target_label': '405.3.l.j.298.4', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 46997257
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 298, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043951493022101, 'target_is_minimal': False, 'target_label': '405.3.l.m.298.1', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 46997258
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 217, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043951493022101, 'target_is_minimal': False, 'target_label': '405.3.l.m.217.1', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 46997259
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 163, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518410504044949, 'target_is_minimal': True, 'target_label': '405.3.g.f.163.2', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 46997260
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 28, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043951493022101, 'target_is_minimal': False, 'target_label': '405.3.l.m.28.1', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 46997261
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 28, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40533152610910613, 'target_is_minimal': False, 'target_label': '405.3.l.j.28.4', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 46997262
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 163, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 22518410504044949, 'target_is_minimal': True, 'target_label': '405.3.g.f.163.7', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 46997263
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 217, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40533152610910613, 'target_is_minimal': False, 'target_label': '405.3.l.j.217.4', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 46997264
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 82, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518410504044949, 'target_is_minimal': True, 'target_label': '405.3.g.f.82.2', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 46997265
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 82, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 22518410504044949, 'target_is_minimal': True, 'target_label': '405.3.g.f.82.7', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 46997266
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 352, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40533152610910613, 'target_is_minimal': False, 'target_label': '405.3.l.j.352.4', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 3}
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id: 46997267
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 298, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40533152610910613, 'source_is_minimal': False, 'source_label': '405.3.l.j.298.4', 'source_level': 405, 'target_conrey_index': 352, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043951493022101, 'target_is_minimal': False, 'target_label': '405.3.l.m.352.1', 'target_level': 405, 'twist_class_label': '405.3.g.f.82.2', 'twist_class_level': 405, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 845625
{'charpoly_factorization': [[[28561, -92274, 149058, -160524, 11686, 103590, 55440, 27570, 3675, -2550, -720, -450, -74, 36, 18, 6, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 2}
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id: 845626
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 40533152610910613, 'p': 3}
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id: 845627
{'charpoly_factorization': [[[152587890625, -73242187500, 11962890625, -117187500, 30859375, -108000000, 33730000, -3981000, 312850, -159240, 53968, -6912, 79, -12, 49, -12, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 5}
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id: 845628
{'charpoly_factorization': [[[1562310005776, 1218545907904, 475211105408, 295132251648, 112200224588, 7832119280, -143040032, -236216112, -53827931, -1901100, 171688, 75928, 23843, 2616, 200, 20, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 7}
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id: 845629
{'charpoly_factorization': [[[159539531776, 0, 808677025792, 0, 4075575387904, 0, 118567590016, 0, 2542963792, 0, 22266304, 0, 141964, 0, 448, 0, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 11}
-
id: 845630
{'charpoly_factorization': [[[26835157974988801, 8072142995836150, 1214069479411250, 590810267578344, 82649718843494, -8561771686006, 189081788368, -42891309054, -1522096997, 283734462, -6630800, 1389190, 57926, -8712, 242, -22, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 13}
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id: 845631
{'charpoly_factorization': [[[133477359026470118416, 0, 0, 0, 43436370647511976, 0, 0, 0, 424402739025, 0, 0, 0, 1245766, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 17}
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id: 845632
{'charpoly_factorization': [[[50552100, 0, 76851936, 0, 1076085, 0, 2010, 0, 1], 2]], 'hecke_orbit_code': 40533152610910613, 'p': 19}
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id: 845633
{'charpoly_factorization': [[[16284418035869008085776, 805226831713229604864, 19908302804642562048, 328139852400820224, -113989102268348468, -3796928064433200, -45087328770048, -3459735781608, 532028348085, 15791027292, 187735752, 14335800, -1039493, -7776, 648, -36, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 23}
-
id: 845634
{'charpoly_factorization': [[[411193867536, 43330139568, 1050677388, -49665420, -1656555, 92610, 6027, 126, 1], 2]], 'hecke_orbit_code': 40533152610910613, 'p': 29}
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id: 845635
{'charpoly_factorization': [[[358875136, -206110720, 152132608, 22419200, 2324068, 120800, 4618, 80, 1], 2]], 'hecke_orbit_code': 40533152610910613, 'p': 31}
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id: 845636
{'charpoly_factorization': [[[23253810064, -6361966240, 870279200, -62259184, 2510209, -38750, 2, -2, 1], 2]], 'hecke_orbit_code': 40533152610910613, 'p': 37}
-
id: 845637
{'charpoly_factorization': [[[16124267748155723776, 0, 2209682191721125888, 0, 281483220239856064, 0, 2886740217111904, 0, 25699825635217, 0, 23242422166, 0, 15681979, 0, 4582, 0, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 41}
-
id: 845638
{'charpoly_factorization': [[[766462876965922141171360000, 50222149125140553507328000, 1645392320064053773107200, 56090327657688848424960, 1530485432439372792704, 22130695294149917696, 216924441052905472, -709994648358912, -158728856212688, -3131967442176, -30089633792, 125469952, 24270008, 552576, 8192, 128, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 43}
-
id: 845639
{'charpoly_factorization': [[[150570784340757469634560000, 27856643909517486600192000, 2576836579882273359667200, 158910905443535815495680, 3643183547235495390976, -110951832501611388672, 980957987576273952, -21809213629880328, -197021471294847, 12401138927460, -207417878424, 2070752232, 37774783, -1414944, 20808, -204, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 47}
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id: 845640
{'charpoly_factorization': [[[76026595714563150006250000, 0, 0, 0, 278230577294238026536, 0, 0, 0, 256119445043073, 0, 0, 0, 30966538, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 53}
-
id: 845641
{'charpoly_factorization': [[[1000583424, 14935871232, 74059461936, -3840207408, 63281001, 146394, -8025, -18, 1], 2]], 'hecke_orbit_code': 40533152610910613, 'p': 59}
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id: 845642
{'charpoly_factorization': [[[73028576644, 4396231784, 3266721766, -181802164, 123107107, -54754, 11113, 2, 1], 2]], 'hecke_orbit_code': 40533152610910613, 'p': 61}
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id: 845643
{'charpoly_factorization': [[[18648065962636380289600000000, 1912929196100128700032000000, 98114681614279034270720000, 5801032927441197801062400, 272685755841658064347904, 6205886715568877292032, 104189747466023177728, 1934205751514260224, 23454662354193232, 132703068984288, 989433614752, 220750816, -209405812, -1246608, 968, 44, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 67}
-
id: 845644
{'charpoly_factorization': [[[243517148561296, 0, -251133797584, 0, 95901192, 0, -16084, 0, 1], 2]], 'hecke_orbit_code': 40533152610910613, 'p': 71}
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id: 845645
{'charpoly_factorization': [[[75176865856, -6490483648, 280181792, -4664296, 4200289, -371474, 16562, -182, 1], 2]], 'hecke_orbit_code': 40533152610910613, 'p': 73}
-
id: 845646
{'charpoly_factorization': [[[139500119377188448621998336, 0, -986277993267906219532032, 0, 5651461891708385625216, 0, -8746067250196945920, 0, 10395634741514352, 0, -2664862433280, 0, 528598536, 0, -25308, 0, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 79}
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id: 845647
{'charpoly_factorization': [[[680229195025574077347659776, 1208354857604971715100672, 1073256979099990228992, 635508979246891008, -679326315611974897664, -1648032188275200000, -1855721274785280, 485153988036480, 653059448728080, 1600019334240, 1955463840, -5135520, -26302724, -288, 72, -12, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 83}
-
id: 845648
{'charpoly_factorization': [[[1167112482128784, 0, 867442914936, 0, 230064705, 0, 25626, 0, 1], 2]], 'hecke_orbit_code': 40533152610910613, 'p': 89}
-
id: 845649
{'charpoly_factorization': [[[250450748036342028201430614016, -20107037236534126463418368000, 807130642653749215232000000, -89665119078990145682669568, 3497936197257989920243712, 56047725689714399854592, 278184800605349496832, 6561531276756222720, 24452938432774672, -489411494785728, -2537385525632, -43602346496, 21224636, 2944608, 11552, 152, 1], 1]], 'hecke_orbit_code': 40533152610910613, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 10, 'label': '405.3.l.j', 'level': 405, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 54008407
{'hecke_orbit_code': 40533152610910613, 'n': 1, 'trace_an': 16}
-
id: 54008408
{'hecke_orbit_code': 40533152610910613, 'n': 2, 'trace_an': -6}
-
id: 54008409
{'hecke_orbit_code': 40533152610910613, 'n': 3, 'trace_an': 0}
-
id: 54008410
{'hecke_orbit_code': 40533152610910613, 'n': 4, 'trace_an': 0}
-
id: 54008411
{'hecke_orbit_code': 40533152610910613, 'n': 5, 'trace_an': 12}
-
id: 54008412
{'hecke_orbit_code': 40533152610910613, 'n': 6, 'trace_an': 0}
-
id: 54008413
{'hecke_orbit_code': 40533152610910613, 'n': 7, 'trace_an': -20}
-
id: 54008414
{'hecke_orbit_code': 40533152610910613, 'n': 8, 'trace_an': 0}
-
id: 54008415
{'hecke_orbit_code': 40533152610910613, 'n': 9, 'trace_an': 0}
-
id: 54008416
{'hecke_orbit_code': 40533152610910613, 'n': 10, 'trace_an': -56}
-
id: 54008417
{'hecke_orbit_code': 40533152610910613, 'n': 11, 'trace_an': 0}
-
id: 54008418
{'hecke_orbit_code': 40533152610910613, 'n': 12, 'trace_an': 0}
-
id: 54008419
{'hecke_orbit_code': 40533152610910613, 'n': 13, 'trace_an': 22}
-
id: 54008420
{'hecke_orbit_code': 40533152610910613, 'n': 14, 'trace_an': -168}
-
id: 54008421
{'hecke_orbit_code': 40533152610910613, 'n': 15, 'trace_an': 0}
-
id: 54008422
{'hecke_orbit_code': 40533152610910613, 'n': 16, 'trace_an': 16}
-
id: 54008423
{'hecke_orbit_code': 40533152610910613, 'n': 17, 'trace_an': 0}
-
id: 54008424
{'hecke_orbit_code': 40533152610910613, 'n': 18, 'trace_an': 0}
-
id: 54008425
{'hecke_orbit_code': 40533152610910613, 'n': 19, 'trace_an': 0}
-
id: 54008426
{'hecke_orbit_code': 40533152610910613, 'n': 20, 'trace_an': -96}
-
id: 54008427
{'hecke_orbit_code': 40533152610910613, 'n': 21, 'trace_an': 0}
-
id: 54008428
{'hecke_orbit_code': 40533152610910613, 'n': 22, 'trace_an': -16}
-
id: 54008429
{'hecke_orbit_code': 40533152610910613, 'n': 23, 'trace_an': 36}
-
id: 54008430
{'hecke_orbit_code': 40533152610910613, 'n': 24, 'trace_an': 0}
-
id: 54008431
{'hecke_orbit_code': 40533152610910613, 'n': 25, 'trace_an': 46}
-
id: 54008432
{'hecke_orbit_code': 40533152610910613, 'n': 26, 'trace_an': 0}
-
id: 54008433
{'hecke_orbit_code': 40533152610910613, 'n': 27, 'trace_an': 0}
-
id: 54008434
{'hecke_orbit_code': 40533152610910613, 'n': 28, 'trace_an': 176}
-
id: 54008435
{'hecke_orbit_code': 40533152610910613, 'n': 29, 'trace_an': -252}
-
id: 54008436
{'hecke_orbit_code': 40533152610910613, 'n': 30, 'trace_an': 0}
-
id: 54008437
{'hecke_orbit_code': 40533152610910613, 'n': 31, 'trace_an': -160}
-
id: 54008438
{'hecke_orbit_code': 40533152610910613, 'n': 32, 'trace_an': -114}
-
id: 54008439
{'hecke_orbit_code': 40533152610910613, 'n': 33, 'trace_an': 0}
-
id: 54008440
{'hecke_orbit_code': 40533152610910613, 'n': 34, 'trace_an': 0}
-
id: 54008441
{'hecke_orbit_code': 40533152610910613, 'n': 35, 'trace_an': 0}
-
id: 54008442
{'hecke_orbit_code': 40533152610910613, 'n': 36, 'trace_an': 0}
-
id: 54008443
{'hecke_orbit_code': 40533152610910613, 'n': 37, 'trace_an': 4}
-
id: 54008444
{'hecke_orbit_code': 40533152610910613, 'n': 38, 'trace_an': 192}
-
id: 54008445
{'hecke_orbit_code': 40533152610910613, 'n': 39, 'trace_an': 0}
-
id: 54008446
{'hecke_orbit_code': 40533152610910613, 'n': 40, 'trace_an': 264}
-
id: 54008447
{'hecke_orbit_code': 40533152610910613, 'n': 41, 'trace_an': 0}
-
id: 54008448
{'hecke_orbit_code': 40533152610910613, 'n': 42, 'trace_an': 0}
-
id: 54008449
{'hecke_orbit_code': 40533152610910613, 'n': 43, 'trace_an': -128}
-
id: 54008450
{'hecke_orbit_code': 40533152610910613, 'n': 44, 'trace_an': 0}
-
id: 54008451
{'hecke_orbit_code': 40533152610910613, 'n': 45, 'trace_an': 0}
-
id: 54008452
{'hecke_orbit_code': 40533152610910613, 'n': 46, 'trace_an': -16}
-
id: 54008453
{'hecke_orbit_code': 40533152610910613, 'n': 47, 'trace_an': 204}
-
id: 54008454
{'hecke_orbit_code': 40533152610910613, 'n': 48, 'trace_an': 0}
-
id: 54008455
{'hecke_orbit_code': 40533152610910613, 'n': 49, 'trace_an': 0}
-
id: 54008456
{'hecke_orbit_code': 40533152610910613, 'n': 50, 'trace_an': 540}
-
id: 54008457
{'hecke_orbit_code': 40533152610910613, 'n': 51, 'trace_an': 0}
-
id: 54008458
{'hecke_orbit_code': 40533152610910613, 'n': 52, 'trace_an': 154}
-
id: 54008459
{'hecke_orbit_code': 40533152610910613, 'n': 53, 'trace_an': 0}
-
id: 54008460
{'hecke_orbit_code': 40533152610910613, 'n': 54, 'trace_an': 0}
-
id: 54008461
{'hecke_orbit_code': 40533152610910613, 'n': 55, 'trace_an': -364}
-
id: 54008462
{'hecke_orbit_code': 40533152610910613, 'n': 56, 'trace_an': 0}
-
id: 54008463
{'hecke_orbit_code': 40533152610910613, 'n': 57, 'trace_an': 0}
-
id: 54008464
{'hecke_orbit_code': 40533152610910613, 'n': 58, 'trace_an': -246}
-
id: 54008465
{'hecke_orbit_code': 40533152610910613, 'n': 59, 'trace_an': 36}
-
id: 54008466
{'hecke_orbit_code': 40533152610910613, 'n': 60, 'trace_an': 0}
-
id: 54008467
{'hecke_orbit_code': 40533152610910613, 'n': 61, 'trace_an': -4}
-
id: 54008468
{'hecke_orbit_code': 40533152610910613, 'n': 62, 'trace_an': 0}
-
id: 54008469
{'hecke_orbit_code': 40533152610910613, 'n': 63, 'trace_an': 0}
-
id: 54008470
{'hecke_orbit_code': 40533152610910613, 'n': 64, 'trace_an': 0}
-
id: 54008471
{'hecke_orbit_code': 40533152610910613, 'n': 65, 'trace_an': 24}
-
id: 54008472
{'hecke_orbit_code': 40533152610910613, 'n': 66, 'trace_an': 0}
-
id: 54008473
{'hecke_orbit_code': 40533152610910613, 'n': 67, 'trace_an': -44}
-
id: 54008474
{'hecke_orbit_code': 40533152610910613, 'n': 68, 'trace_an': 966}
-
id: 54008475
{'hecke_orbit_code': 40533152610910613, 'n': 69, 'trace_an': 0}
-
id: 54008476
{'hecke_orbit_code': 40533152610910613, 'n': 70, 'trace_an': 18}
-
id: 54008477
{'hecke_orbit_code': 40533152610910613, 'n': 71, 'trace_an': 0}
-
id: 54008478
{'hecke_orbit_code': 40533152610910613, 'n': 72, 'trace_an': 0}
-
id: 54008479
{'hecke_orbit_code': 40533152610910613, 'n': 73, 'trace_an': 364}
-
id: 54008480
{'hecke_orbit_code': 40533152610910613, 'n': 74, 'trace_an': 288}
-
id: 54008481
{'hecke_orbit_code': 40533152610910613, 'n': 75, 'trace_an': 0}
-
id: 54008482
{'hecke_orbit_code': 40533152610910613, 'n': 76, 'trace_an': 456}
-
id: 54008483
{'hecke_orbit_code': 40533152610910613, 'n': 77, 'trace_an': -204}
-
id: 54008484
{'hecke_orbit_code': 40533152610910613, 'n': 78, 'trace_an': 0}
-
id: 54008485
{'hecke_orbit_code': 40533152610910613, 'n': 79, 'trace_an': 0}
-
id: 54008486
{'hecke_orbit_code': 40533152610910613, 'n': 80, 'trace_an': 0}
-
id: 54008487
{'hecke_orbit_code': 40533152610910613, 'n': 81, 'trace_an': 0}
-
id: 54008488
{'hecke_orbit_code': 40533152610910613, 'n': 82, 'trace_an': 32}
-
id: 54008489
{'hecke_orbit_code': 40533152610910613, 'n': 83, 'trace_an': 12}
-
id: 54008490
{'hecke_orbit_code': 40533152610910613, 'n': 84, 'trace_an': 0}
-
id: 54008491
{'hecke_orbit_code': 40533152610910613, 'n': 85, 'trace_an': -32}
-
id: 54008492
{'hecke_orbit_code': 40533152610910613, 'n': 86, 'trace_an': 0}
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