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mf_newforms • Show schema
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{'Nk2': 9450, 'analytic_conductor': 28.610427757831175, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': -1, 'char_values': [1050, 6, [701, 127, 451], [6, 3, 1]], 'cm_discs': [], 'conrey_index': 199, 'conrey_indexes': [199, 649], 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [9682651996416, -10143730662912, 26588869767936, 15929692886016, 26420738609664, -11416664448, 516442695552, 676772544, 6945139504, -7989152, 49322848, 129616, 252064, 352, 604, 4, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015498071442458, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 35, 9, -1, 6, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1050.3.q.e', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '210.3.o.b', 'prim_orbit_index': 9, 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.3.q', 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 32, 0, 0, 0, 0, -48, 0, -8, 0, 0, -16, 0, -64, 0, 0, 144, 0, -48, 0, 0, 0, 0, 0, 0, 0, -144, 0, 240, 0, 0, 0, 0, -192, 0, 0, -72, 0, 0, 0, 0, 16, 0, 16, 0, 0, 80, 0, -24, 0, 0, 0, 0, 32, 0, 0, -264, 0, 192, 0, 0, -256, 0, 144, 0, 0, 0, 0, -272, 0, 0, 224, 0, 0, 0, 0, -560, 0, -144, 0, 0, 48, 0, -176, 0, 0, 600, 0, -544, 0, 0, 0, 0, 0, 0, 0, 48, 0, 984, 0, 0, 0, 0, -896, 0, 0, -688, 0, 0, 0, 0, -144, 0, -144, 0, 0, 1488, 0, -448, 0, 0, 480, 0, 96, 0, 0, -168, 0, 816, 0, 0, -1824, 0, 96, 0, 0, 0, 0, 96, 0, 0, -192, 0, 0, 0, 0, -1488, 0, -800, 0, 0, 560, 0, 144, 0, 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mf_hecke_cc • Show schema
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18015498071442458, 'label': '1050.3.q.e.199.10', 'level': 1050, 'weight': 3}
-
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{'Nk2': 9450, 'analytic_conductor': 28.610427757831175, 'char_conductor': 35, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': -1, 'char_values': [1050, 6, [701, 127, 451], [6, 3, 1]], 'conrey_index': 199, 'cusp_dim': 912, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11], 'hecke_orbit_code': 1099561960474, 'hecke_orbit_dims': [8, 16, 16, 24, 32], 'label': '1050.3.q', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1008, 'mf_new_dim': 96, 'num_forms': 5, 'prim_orbit_index': 9, 'relative_dim': 48, 'sturm_bound': 720, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 96, 0, 0, 0, 0, -144, 0, -56, 0, 0, 32, 0, -192, 0, 0, -156, 0, -12, 0, 0, 0, 0, -192, 0, 0, -192, 0, -24, 0, 0, 0, 0, -576, 0, 0, -36, 0, 0, 0, 0, 112, 0, 16, 0, 0, 244, 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mf_twists_cc • Show schema
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id: 44565263
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 199, 'target_dim': 32, 'target_embedding_index': 10, 'target_hecke_orbit_code': 18015498071442458, 'target_is_minimal': False, 'target_label': '1050.3.q.e.199.10', 'target_level': 1050, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 44565264
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 31, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504561750376658, 'target_is_minimal': True, 'target_label': '210.3.o.b.31.7', 'target_level': 210, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 44565265
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 451, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029827861447706, 'target_is_minimal': False, 'target_label': '1050.3.p.i.451.4', 'target_level': 1050, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 44565266
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 199, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015498071442458, 'target_is_minimal': False, 'target_label': '1050.3.q.e.199.1', 'target_level': 1050, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 44565267
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 649, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015498071442458, 'target_is_minimal': False, 'target_label': '1050.3.q.e.649.1', 'target_level': 1050, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 44565268
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 451, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008642414084726, 'target_is_minimal': False, 'target_label': '630.3.v.c.451.1', 'target_level': 630, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 44565269
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 61, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504561750376658, 'target_is_minimal': True, 'target_label': '210.3.o.b.61.7', 'target_level': 210, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '35.12', 'twisting_conrey_index': 12, 'weight': 3}
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id: 44565270
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 391, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142529828286, 'target_is_minimal': False, 'target_label': '1470.3.f.d.391.2', 'target_level': 1470, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '35.17', 'twisting_conrey_index': 17, 'weight': 3}
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id: 44565271
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 649, 'target_dim': 32, 'target_embedding_index': 10, 'target_hecke_orbit_code': 18015498071442458, 'target_is_minimal': False, 'target_label': '1050.3.q.e.649.10', 'target_level': 1050, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 3}
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id: 44565272
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 391, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511142529828286, 'target_is_minimal': False, 'target_label': '1470.3.f.d.391.8', 'target_level': 1470, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '35.32', 'twisting_conrey_index': 32, 'weight': 3}
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id: 44565273
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 901, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029827861447706, 'target_is_minimal': False, 'target_label': '1050.3.p.i.901.4', 'target_level': 1050, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '35.33', 'twisting_conrey_index': 33, 'weight': 3}
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id: 44565274
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 32, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18015498071442458, 'source_is_minimal': False, 'source_label': '1050.3.q.e.199.10', 'source_level': 1050, 'target_conrey_index': 271, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008642414084726, 'target_is_minimal': False, 'target_label': '630.3.v.c.271.1', 'target_level': 630, 'twist_class_label': '210.3.o.b.31.7', 'twist_class_level': 210, 'twisting_char_label': '105.47', 'twisting_conrey_index': 47, 'weight': 3}
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hecke_orbit_code 18015498071442458 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 5, 'label': '1050.3.q.e', 'level': 1050, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 160921000
{'hecke_orbit_code': 18015498071442458, 'n': 1, 'trace_an': 32}
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id: 160921001
{'hecke_orbit_code': 18015498071442458, 'n': 2, 'trace_an': 0}
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id: 160921002
{'hecke_orbit_code': 18015498071442458, 'n': 3, 'trace_an': 0}
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id: 160921003
{'hecke_orbit_code': 18015498071442458, 'n': 4, 'trace_an': 32}
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id: 160921004
{'hecke_orbit_code': 18015498071442458, 'n': 5, 'trace_an': 0}
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id: 160921005
{'hecke_orbit_code': 18015498071442458, 'n': 6, 'trace_an': 0}
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id: 160921006
{'hecke_orbit_code': 18015498071442458, 'n': 7, 'trace_an': 0}
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id: 160921007
{'hecke_orbit_code': 18015498071442458, 'n': 8, 'trace_an': 0}
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id: 160921008
{'hecke_orbit_code': 18015498071442458, 'n': 9, 'trace_an': -48}
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id: 160921009
{'hecke_orbit_code': 18015498071442458, 'n': 10, 'trace_an': 0}
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id: 160921010
{'hecke_orbit_code': 18015498071442458, 'n': 11, 'trace_an': -8}
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id: 160921011
{'hecke_orbit_code': 18015498071442458, 'n': 12, 'trace_an': 0}
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id: 160921012
{'hecke_orbit_code': 18015498071442458, 'n': 13, 'trace_an': 0}
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id: 160921013
{'hecke_orbit_code': 18015498071442458, 'n': 14, 'trace_an': -16}
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id: 160921014
{'hecke_orbit_code': 18015498071442458, 'n': 15, 'trace_an': 0}
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id: 160921015
{'hecke_orbit_code': 18015498071442458, 'n': 16, 'trace_an': -64}
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id: 160921016
{'hecke_orbit_code': 18015498071442458, 'n': 17, 'trace_an': 0}
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-
id: 160921998
{'hecke_orbit_code': 18015498071442458, 'n': 999, 'trace_an': -792}
-
id: 160921999
{'hecke_orbit_code': 18015498071442458, 'n': 1000, 'trace_an': 0}