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mf_newforms • Show schema
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{'Nk2': 4180, 'analytic_conductor': 8.3443670112238, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 209, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [1045, 2, [837, 761, 496], [2, 1, 1]], 'cm_discs': [], 'conrey_index': 626, 'dim': 40, 'has_non_self_twist': 1, 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258309653, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, 0], [1, 1, 19, 2, -1, 2, 0], [1, 1, 209, 4, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1045.2.f.b', 'level': 1045, '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': True, 'level_primes': [5, 11, 19], 'level_radical': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4180, 'analytic_conductor': 8.3443670112238, 'char_conductor': 209, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [1045, 2, [837, 761, 496], [2, 1, 1]], 'conrey_index': 626, 'cusp_dim': 116, 'dim': 80, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_orbit_code': 343630939157, 'hecke_orbit_dims': [40, 40], 'label': '1045.2.f', 'level': 1045, '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': True, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 124, 'mf_new_dim': 80, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 80, 'sturm_bound': 240, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 80, 0, 0, 0, 0, -56, 0, -8, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 8, 0, 80, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -144, 0, -96, 0, 0, 32, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 32, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 16, 96, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 48, 0, 0, 0, 0, 0, -16, 80, 0, -64, 0, -56, 0, 0, 0, 0, 0, 0, -24, 0, 0, -8, 40, 0, 0, 0, 16, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, -24, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 112, 40, 144, 0, 0, 0, -144, 0, 0, 0, 0, 24, 200, 0, 0, 0, 0, 0, 0, -288, 168, 0, 0, 16, 0, 0, 0, 0, 0, 0, 8, 32, 0, -56, -104, 0, 0, 0, 0, -32, 0, 0, 144, 0, -24, 0, 0, 0, 0, 0, -160, 0, 32, 24, 0, 0, 112, -24, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 64, 0, 0, -240, 0, -184, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 32, 0, 0, 0, -184, 0, -128, -56, 0, 64, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 216, 0, 0, 0, 0, 0, 56, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 280, -16, -392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, -336, 0, 0, 0, 0, 0, 104, -176, 0, -16, 0, -200, 0, 0, 0, 0, 0, 0, -112, 0, 0, -64, -304, 0, 0, 0, 40, 0, -64, 0, 0, 0, -216, 0, 0, 0, 0, 128, 0, 0, -136, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, -56, 80, 56, 0, 0, 0, 512, 0, 0, 0, 0, -344, 576, 0, 0, 0, 0, 0, 0, -8, 56, 0, 0, -224, 0, 0, 0, 0, 0, 0, 336, 16, 0, 0, 80, 0, 0, 0, 0, 64, 0, 0, 40, 0, -8, 0, 0, 0, 0, 0, -112, 0, 56, 184, 0, 0, 472, -280, 0, 0, 0, 168, 0, 152, 0, 0, 0, 0, 312, 0, 0, 0, -64, 0, 0, -56, 0, 248, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 456, 0, 0, 0, 24, 0, -160, -256, 0, 64, 0, 248, 0, 0, 0, 0, 0, -224, 0, 0, 56, 0, 0, 0, 0, 0, 296, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 576, 328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, -656, 0, 0, 0, 0, 0, -64, 168, 0, -256, 0, 360, 0, 0, 0, 0, 0, 0, -16, 0, 0, -168, -24, 0, 0, 0, 88, 0, 312, 0, 0, 0, -272, 0, 0, 0, 0, -104, 0, 0, -24, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 8, 152, -112, 0, 0, 0, 272, 0, 0, 0, 0, -208, 368, 0, 0, 0, 0, 0, 0, -16, -32, 0, 0, -416, 0, 0, 0, 0, 0, 0, 112, -264, 0, -504, -248, 0, 0, 0, 0, 8, 0, 0, -136, 0, -152, 0, 0, 0, 0, 0, 80, 0, 400, 536, 0, 0, 376, -416, 0, 0, 0, -48, 0, 56, 0, 0, 0, 0, 416, 0, 0, 0, -32, 0, 0, -16, 0, 288, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 448, 0, 72, 0, 0, 0, -360, 0, 112, 120, 0, 96, 0, 32, 0, 0, 0, 0, 0, -336, 0, 0, -40, 0, 0, 0, 0, 0, 24, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, -88, 872, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 64, 0, 0, 0, 0, 0, -432, 208, 0, -248, 0, -80, 0, 0, 0, 0, 0, 0, -816, 0, 0, -184, -208, 0, 0, 0, -584, 0, 160, 0, 0, 0, -152, 0, 0, 0, 0, -392, 0, 0, 32, 0, 0, 0, -632, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, -32, -40, 1008, 0, 0, 0, 128, 0, 0, 0, 0, 128, 168, 0, 0, 0, 0, 0, 0, 232, 272, 0, 0, -112, 0, 0, 0, 0, 0, 0, 72, 72, 0, 120, -304, 0, 0, 0, 0, 192, 0, 0, 440, 0, -304, 0, 0, 0, 0, 0, -568, 0, 152, -608, 0, 0, 536, 392, 0, 0, 0, 144, 0, -208, 0, 0, 0, 0, 856, 0, 0, 0, 168, 0, 0, 208, 0, 24, -680, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 192, 0, 0, 0, -64, 0, -64, 8, 0, 104, 0, 88, 0, 0, 0, 0, 0, 208, 0, 0, 120, 0, 0, 0, 0, 0, 32, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 152, -576, 344, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1280, -400, 0, 0, 0, 0, 0, 16, -160, 0, -1040, 0, -80, 0, 0, 0, 0, 0, 0, 488, 0, 0, 0, 576, 0, 0, 0, -32, 0, 128, 0, 0, 0, -216, 0, 0, 0, 0, 784, 0, 0, -88, 0, 0, 0, -536, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 240, 600, -48, 0, 0, 0, -256, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35249048
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 626, 'source_dim': 40, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4503943258309653, 'source_is_minimal': True, 'source_label': '1045.2.f.b.626.13', 'source_level': 1045, 'target_conrey_index': 626, 'target_dim': 40, 'target_embedding_index': 13, 'target_hecke_orbit_code': 4503943258309653, 'target_is_minimal': True, 'target_label': '1045.2.f.b.626.13', 'target_level': 1045, 'twist_class_label': '1045.2.f.b.626.13', 'twist_class_level': 1045, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35249049
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 626, 'source_dim': 40, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4503943258309653, 'source_is_minimal': True, 'source_label': '1045.2.f.b.626.13', 'source_level': 1045, 'target_conrey_index': 626, 'target_dim': 40, 'target_embedding_index': 27, 'target_hecke_orbit_code': 4503943258309653, 'target_is_minimal': True, 'target_label': '1045.2.f.b.626.27', 'target_level': 1045, 'twist_class_label': '1045.2.f.b.626.13', 'twist_class_level': 1045, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 35249050
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 626, 'source_dim': 40, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4503943258309653, 'source_is_minimal': True, 'source_label': '1045.2.f.b.626.13', 'source_level': 1045, 'target_conrey_index': 626, 'target_dim': 40, 'target_embedding_index': 28, 'target_hecke_orbit_code': 4503943258309653, 'target_is_minimal': True, 'target_label': '1045.2.f.b.626.28', 'target_level': 1045, 'twist_class_label': '1045.2.f.b.626.13', 'twist_class_level': 1045, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 35249051
{'conductor': 209, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 626, 'source_dim': 40, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4503943258309653, 'source_is_minimal': True, 'source_label': '1045.2.f.b.626.13', 'source_level': 1045, 'target_conrey_index': 626, 'target_dim': 40, 'target_embedding_index': 14, 'target_hecke_orbit_code': 4503943258309653, 'target_is_minimal': True, 'target_label': '1045.2.f.b.626.14', 'target_level': 1045, 'twist_class_label': '1045.2.f.b.626.13', 'twist_class_level': 1045, 'twisting_char_label': '209.208', 'twisting_conrey_index': 208, 'weight': 2}
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hecke_orbit_code 4503943258309653 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '1045.2.f.b', 'level': 1045, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 22431529
{'hecke_orbit_code': 4503943258309653, 'n': 1, 'trace_an': 40}
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id: 22431530
{'hecke_orbit_code': 4503943258309653, 'n': 2, 'trace_an': 0}
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id: 22431531
{'hecke_orbit_code': 4503943258309653, 'n': 3, 'trace_an': 0}
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id: 22431532
{'hecke_orbit_code': 4503943258309653, 'n': 4, 'trace_an': 40}
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id: 22431533
{'hecke_orbit_code': 4503943258309653, 'n': 5, 'trace_an': 40}
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id: 22431534
{'hecke_orbit_code': 4503943258309653, 'n': 6, 'trace_an': 0}
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id: 22431535
{'hecke_orbit_code': 4503943258309653, 'n': 7, 'trace_an': 0}
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id: 22431536
{'hecke_orbit_code': 4503943258309653, 'n': 8, 'trace_an': 0}
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id: 22431537
{'hecke_orbit_code': 4503943258309653, 'n': 9, 'trace_an': -28}
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id: 22431538
{'hecke_orbit_code': 4503943258309653, 'n': 10, 'trace_an': 0}
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id: 22431539
{'hecke_orbit_code': 4503943258309653, 'n': 11, 'trace_an': -4}
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id: 22431540
{'hecke_orbit_code': 4503943258309653, 'n': 12, 'trace_an': 0}
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id: 22431541
{'hecke_orbit_code': 4503943258309653, 'n': 13, 'trace_an': 0}
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id: 22431542
{'hecke_orbit_code': 4503943258309653, 'n': 14, 'trace_an': 0}
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id: 22431543
{'hecke_orbit_code': 4503943258309653, 'n': 15, 'trace_an': 0}
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id: 22431544
{'hecke_orbit_code': 4503943258309653, 'n': 16, 'trace_an': 48}
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id: 22431545
{'hecke_orbit_code': 4503943258309653, 'n': 17, 'trace_an': 0}
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id: 22431546
{'hecke_orbit_code': 4503943258309653, 'n': 18, 'trace_an': 0}
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id: 22431547
{'hecke_orbit_code': 4503943258309653, 'n': 19, 'trace_an': 0}
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id: 22431548
{'hecke_orbit_code': 4503943258309653, 'n': 20, 'trace_an': 40}
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id: 22431549
{'hecke_orbit_code': 4503943258309653, 'n': 21, 'trace_an': 0}
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id: 22431550
{'hecke_orbit_code': 4503943258309653, 'n': 22, 'trace_an': 0}
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id: 22431551
{'hecke_orbit_code': 4503943258309653, 'n': 23, 'trace_an': 24}
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id: 22431552
{'hecke_orbit_code': 4503943258309653, 'n': 24, 'trace_an': 0}
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id: 22431553
{'hecke_orbit_code': 4503943258309653, 'n': 25, 'trace_an': 40}
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id: 22431554
{'hecke_orbit_code': 4503943258309653, 'n': 26, 'trace_an': -24}
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id: 22431555
{'hecke_orbit_code': 4503943258309653, 'n': 27, 'trace_an': 0}
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id: 22431556
{'hecke_orbit_code': 4503943258309653, 'n': 28, 'trace_an': 0}
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id: 22431557
{'hecke_orbit_code': 4503943258309653, 'n': 29, 'trace_an': 0}
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id: 22431558
{'hecke_orbit_code': 4503943258309653, 'n': 30, 'trace_an': 0}
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id: 22431559
{'hecke_orbit_code': 4503943258309653, 'n': 31, 'trace_an': 0}
-
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