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mf_newforms • Show schema
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{'Nk2': 3375, 'analytic_conductor': 10.218009913511134, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': -1, 'char_values': [375, 2, [251, 127], [1, 2]], 'cm_discs': [], 'conrey_index': 251, 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9025, 0, 75825, 0, 179160, 0, 139855, 0, 50466, 0, 9479, 0, 956, 0, 49, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336744026487, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '375.3.c.c', 'level': 375, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3375, 'analytic_conductor': 10.218009913511134, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': -1, 'char_values': [375, 2, [251, 127], [1, 2]], 'conrey_index': 251, 'cusp_dim': 90, 'dim': 64, 'eis_dim': 20, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137489285495, 'hecke_orbit_dims': [8, 24, 32], 'label': '375.3.c', 'level': 375, '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': 110, 'mf_new_dim': 64, 'num_forms': 3, 'prim_orbit_index': 2, 'relative_dim': 64, 'sturm_bound': 150, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, -126, 0, 4, 0, 0, -10, 0, 0, 0, 0, 0, 0, 262, 0, 0, 0, 0, 14, 0, 0, -32, 0, 0, 0, 0, 0, 0, -152, 0, 0, 8, 0, 8, 0, 0, -14, 0, 0, 0, 0, 0, 0, 68, 0, 0, 676, 0, -86, 0, 0, 294, 0, 0, 0, 0, 0, 0, -292, 0, 0, -678, 0, -570, 0, 0, 64, 0, 0, 0, 0, 0, 0, 296, 0, 0, -280, 0, 74, 0, 0, 96, 0, 0, 0, 0, 0, 0, 888, 0, 0, -182, 0, -28, 0, 0, -910, 0, 0, 0, 0, 0, 0, -562, 0, 0, -320, 0, 164, 0, 0, 858, 0, 0, 0, 0, 0, 0, -676, 0, 0, 1898, 0, -180, 0, 0, 266, 0, 0, 0, 0, 0, 0, -714, 0, 0, -1100, 0, -576, 0, 0, 18, 0, 0, 0, 0, 0, 0, 108, 0, 0, 40, 0, 1254, 0, 0, -96, 0, 0, 0, 0, 0, 0, 1298, 0, 0, 896, 0, 1288, 0, 0, -2810, 0, 0, 0, 0, 0, 0, -852, 0, 0, -1274, 0, 2318, 0, 0, 1086, 0, 0, 0, 0, 0, 0, -3058, 0, 0, 1720, 0, -636, 0, 0, 542, 0, 0, 0, 0, 0, 0, -1452, 0, 0, 8, 0, -4172, 0, 0, -1324, 0, 0, 0, 0, 0, 0, 1558, 0, 0, -80, 0, 310, 0, 0, 3430, 0, 0, 0, 0, 0, 0, 2488, 0, 0, 1588, 0, 2870, 0, 0, -2636, 0, 0, 0, 0, 0, 0, 1270, 0, 0, -2988, 0, 470, 0, 0, 2990, 0, 0, 0, 0, 0, 0, -2112, 0, 0, 488, 0, -3778, 0, 0, -130, 0, 0, 0, 0, 0, 0, -840, 0, 0, -1876, 0, -1176, 0, 0, -1366, 0, 0, 0, 0, 0, 0, 3528, 0, 0, 1106, 0, 208, 0, 0, 1606, 0, 0, 0, 0, 0, 0, 1916, 0, 0, 640, 0, 5154, 0, 0, -3546, 0, 0, 0, 0, 0, 0, 2348, 0, 0, -2482, 0, 3754, 0, 0, 1974, 0, 0, 0, 0, 0, 0, -1252, 0, 0, 2200, 0, -1336, 0, 0, -5070, 0, 0, 0, 0, 0, 0, 632, 0, 0, -4968, 0, -4582, 0, 0, -4090, 0, 0, 0, 0, 0, 0, 1036, 0, 0, 3880, 0, -1976, 0, 0, 10136, 0, 0, 0, 0, 0, 0, 928, 0, 0, 708, 0, 5510, 0, 0, -798, 0, 0, 0, 0, 0, 0, -3080, 0, 0, -4120, 0, -1926, 0, 0, 2028, 0, 0, 0, 0, 0, 0, -4352, 0, 0, 6396, 0, -6890, 0, 0, -910, 0, 0, 0, 0, 0, 0, -5694, 0, 0, -1480, 0, -1812, 0, 0, -704, 0, 0, 0, 0, 0, 0, 420, 0, 0, -292, 0, -4934, 0, 0, 1714, 0, 0, 0, 0, 0, 0, 10268, 0, 0, 5212, 0, 1674, 0, 0, -3172, 0, 0, 0, 0, 0, 0, -112, 0, 0, -7826, 0, 4194, 0, 0, 9096, 0, 0, 0, 0, 0, 0, -7236, 0, 0, 4540, 0, -556, 0, 0, -6890, 0, 0, 0, 0, 0, 0, -4492, 0, 0, -4282, 0, -2876, 0, 0, -446, 0, 0, 0, 0, 0, 0, 10548, 0, 0, -2296, 0, 290, 0, 0, 7520, 0, 0, 0, 0, 0, 0, -272, 0, 0, 2244, 0, 4720, 0, 0, -3940, 0, 0, 0, 0, 0, 0, 1806, 0, 0, 3072, 0, -2110, 0, 0, -2958, 0, 0, 0, 0, 0, 0, -10292, 0, 0, 3860, 0, -1464, 0, 0, 3776, 0, 0, 0, 0, 0, 0, -3192, 0, 0, -1620, 0, -4606, 0, 0, -4780, 0, 0, 0, 0, 0, 0, 1288, 0, 0, 9428, 0, 8050, 0, 0, 930, 0, 0, 0, 0, 0, 0, 5220, 0, 0, 6820, 0, 9744, 0, 0, -7004, 0, 0, 0, 0, 0, 0, -2892, 0, 0, -19712, 0, 12562, 0, 0, 3130, 0, 0, 0, 0, 0, 0, -5934, 0, 0, 1480, 0, -3592, 0, 0, 1528, 0, 0, 0, 0, 0, 0, 5928, 0, 0, -3904, 0, -5080, 0, 0, -4944, 0, 0, 0, 0, 0, 0, 5962, 0, 0, -808, 0, -2876, 0, 0, -1682, 0, 0, 0, 0, 0, 0, 6068, 0, 0, -3482, 0, 4570, 0, 0, -1926, 0, 0, 0, 0, 0, 0, 8828, 0, 0, 120, 0, 2838, 0, 0, -3530, 0, 0, 0, 0, 0, 0, 5048, 0, 0, 9068, 0, -3466, 0, 0, 2810, 0, 0, 0, 0, 0, 0, -11476, 0, 0, -18320, 0, -2752, 0, 0, -1194, 0, 0, 0, 0, 0, 0, -4272, 0, 0, 7580, 0, 6654, 0, 0, 6320, 0, 0, 0, 0, 0, 0, 988, 0, 0, -6080, 0, 5734, 0, 0, -1620, 0, 0, 0, 0, 0, 0, -340, 0, 0, -706, 0, -5360, 0, 0, 5644, 0, 0, 0, 0, 0, 0, -7674, 0, 0, 2148, 0, -540, 0, 0, -4254, 0, 0, 0, 0, 0, 0, 11168, 0, 0, 17840, 0, -2890, 0, 0, 2452, 0, 0, 0, 0, 0, 0, 440, 0, 0, -7600, 0, -9926, 0, 0, 4238, 0, 0, 0, 0, 0, 0, 1244, 0, 0, 13178, 0, -20492, 0, 0, -6124, 0, 0, 0, 0, 0, 0, -21474, 0, 0, 5440, 0, -710, 0, 0, 15142, 0, 0, 0, 0, 0, 0, -10012, 0, 0, 7306, 0, 6314, 0, 0, -2146, 0, 0, 0, 0, 0, 0, -18282, 0, 0, -2708, 0, 70, 0, 0, 14250, 0, 0, 0, 0, 0, 0, 2108, 0, 0, -6104, 0, 5288, 0, 0, -7350, 0, 0, 0, 0, 0, 0, 4346, 0, 0, 1640, 0, 5434, 0, 0, -8260, 0, 0, 0, 0, 0, 0, 15616, 0, 0, 5818, 0, 2040, 0, 0, -644, 0, 0, 0, 0, 0, 0, 15160, 0, 0, 1492, 0, -396, 0, 0, 9688, 0, 0, 0, 0, 0, 0, 432, 0, 0, -3782, 0, -8240, 0, 0, -8962, 0, 0, 0, 0, 0, 0, -26, 0, 0, -13880, 0, 6728, 0, 0, -5490, 0, 0, 0, 0, 0, 0, 1868, 0, 0, -15520, 0, 12, 0, 0, -4864, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 40674733
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 32, 'source_embedding_index': 21, 'source_hecke_orbit_code': 9007336744026487, 'source_is_minimal': True, 'source_label': '375.3.c.c.251.21', 'source_level': 375, 'target_conrey_index': 251, 'target_dim': 32, 'target_embedding_index': 21, 'target_hecke_orbit_code': 9007336744026487, 'target_is_minimal': True, 'target_label': '375.3.c.c.251.21', 'target_level': 375, 'twist_class_label': '375.3.c.c.251.11', 'twist_class_level': 375, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 40674734
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 32, 'source_embedding_index': 21, 'source_hecke_orbit_code': 9007336744026487, 'source_is_minimal': True, 'source_label': '375.3.c.c.251.21', 'source_level': 375, 'target_conrey_index': 251, 'target_dim': 32, 'target_embedding_index': 11, 'target_hecke_orbit_code': 9007336744026487, 'target_is_minimal': True, 'target_label': '375.3.c.c.251.11', 'target_level': 375, 'twist_class_label': '375.3.c.c.251.11', 'twist_class_level': 375, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 40674735
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 32, 'source_embedding_index': 21, 'source_hecke_orbit_code': 9007336744026487, 'source_is_minimal': True, 'source_label': '375.3.c.c.251.21', 'source_level': 375, 'target_conrey_index': 374, 'target_dim': 32, 'target_embedding_index': 12, 'target_hecke_orbit_code': 18014604718244215, 'target_is_minimal': False, 'target_label': '375.3.d.e.374.12', 'target_level': 375, 'twist_class_label': '375.3.c.c.251.11', 'twist_class_level': 375, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 40674736
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 32, 'source_embedding_index': 21, 'source_hecke_orbit_code': 9007336744026487, 'source_is_minimal': True, 'source_label': '375.3.c.c.251.21', 'source_level': 375, 'target_conrey_index': 374, 'target_dim': 32, 'target_embedding_index': 21, 'target_hecke_orbit_code': 18014604718244215, 'target_is_minimal': False, 'target_label': '375.3.d.e.374.21', 'target_level': 375, 'twist_class_label': '375.3.c.c.251.11', 'twist_class_level': 375, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 40674737
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 32, 'source_embedding_index': 21, 'source_hecke_orbit_code': 9007336744026487, 'source_is_minimal': True, 'source_label': '375.3.c.c.251.21', 'source_level': 375, 'target_conrey_index': 251, 'target_dim': 32, 'target_embedding_index': 12, 'target_hecke_orbit_code': 9007336744026487, 'target_is_minimal': True, 'target_label': '375.3.c.c.251.12', 'target_level': 375, 'twist_class_label': '375.3.c.c.251.11', 'twist_class_level': 375, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 40674738
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 32, 'source_embedding_index': 21, 'source_hecke_orbit_code': 9007336744026487, 'source_is_minimal': True, 'source_label': '375.3.c.c.251.21', 'source_level': 375, 'target_conrey_index': 374, 'target_dim': 32, 'target_embedding_index': 22, 'target_hecke_orbit_code': 18014604718244215, 'target_is_minimal': False, 'target_label': '375.3.d.e.374.22', 'target_level': 375, 'twist_class_label': '375.3.c.c.251.11', 'twist_class_level': 375, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 40674739
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 32, 'source_embedding_index': 21, 'source_hecke_orbit_code': 9007336744026487, 'source_is_minimal': True, 'source_label': '375.3.c.c.251.21', 'source_level': 375, 'target_conrey_index': 374, 'target_dim': 32, 'target_embedding_index': 11, 'target_hecke_orbit_code': 18014604718244215, 'target_is_minimal': False, 'target_label': '375.3.d.e.374.11', 'target_level': 375, 'twist_class_label': '375.3.c.c.251.11', 'twist_class_level': 375, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 40674740
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 32, 'source_embedding_index': 21, 'source_hecke_orbit_code': 9007336744026487, 'source_is_minimal': True, 'source_label': '375.3.c.c.251.21', 'source_level': 375, 'target_conrey_index': 251, 'target_dim': 32, 'target_embedding_index': 22, 'target_hecke_orbit_code': 9007336744026487, 'target_is_minimal': True, 'target_label': '375.3.c.c.251.22', 'target_level': 375, 'twist_class_label': '375.3.c.c.251.11', 'twist_class_level': 375, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 3}
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hecke_orbit_code 9007336744026487 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '375.3.c.c', 'level': 375, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 29974417
{'hecke_orbit_code': 9007336744026487, 'n': 1, 'trace_an': 32}
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id: 29974418
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