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mf_newforms • Show schema
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{'Nk2': 8856, 'analytic_conductor': 17.678879007511476, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 369, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': 1, 'char_values': [2214, 6, [83, 703], [2, 3]], 'cm_discs': [], 'conrey_index': 901, 'dim': 36, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [7056, -29232, 227280, 529920, 1372864, 1013948, 933772, 345616, 281240, 79960, 56517, 10257, 6954, 979, 608, 52, 31, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416741030, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 41, 2, 1, 2, 0], [1, 1, 369, 9, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2214.2.i.b', 'level': 2214, 'level_is_powerful': False, 'level_is_prime': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 8856, 'analytic_conductor': 17.678879007511476, 'char_conductor': 369, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': 1, 'char_values': [2214, 6, [83, 703], [2, 3]], 'conrey_index': 901, 'cusp_dim': 732, 'dim': 84, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549789370534, 'hecke_orbit_dims': [4, 36, 44], 'label': '2214.2.i', 'level': 2214, '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, 3, 41], 'level_radical': 246, 'mf_dim': 780, 'mf_new_dim': 84, 'num_forms': 3, 'prim_orbit_index': 9, 'relative_dim': 42, 'sturm_bound': 756, 'trace_bound': 1, 'trace_display': [-2, 0, -4, 0], 'traces': [84, -2, 0, -42, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, -4, 0, 0, 12, 0, -42, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 23, 0, -6, 0, 0, 24, 0, 0, 54, -6, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -12, 32, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 12, -20, 0, 0, 4, 0, 0, 8, 0, 18, -64, 0, 0, -18, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -4, 0, 84, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 72, 0, -24, 0, 0, -12, -44, 0, 72, 72, 0, 0, -48, 0, -48, -2, 0, 0, 64, 0, 36, 0, 0, 0, 0, 0, -42, 0, 0, 0, -16, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 144, 23, 0, 24, 0, 0, 42, 0, 0, 12, -100, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, -12, -48, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 54, 144, 0, 0, -6, 0, 0, 4, 0, -12, -168, 0, 0, 58, 0, 0, 0, 0, -18, -472, 0, 0, 0, 0, 0, -28, 0, 36, 0, 0, 72, 0, 0, 0, 24, 0, 0, 0, 0, 0, -6, 0, 24, 0, 0, -30, -160, 0, 24, 156, 0, -60, -16, 0, 24, 244, 0, 0, -4, 0, -42, 0, 0, 0, 0, 0, -72, 0, 0, 0, -116, 0, 0, 24, 0, -120, 0, 0, 0, 0, 0, 48, -68, 0, 0, 0, 0, 60, 0, 0, 0, -244, 0, -240, 0, 0, -6, 0, 0, -60, 40, 0, 0, 0, 0, 0, 0, 0, 0, 392, 0, -156, 4, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 48, -4, 0, 0, 172, 0, 0, -16, 0, -9, 28, 0, 0, 128, 0, 0, 0, 0, -30, 62, 0, 0, 0, 0, 0, -18, 0, 24, 0, 0, 96, 0, 0, 0, 54, 0, 0, 0, 0, 0, 104, 0, -240, 0, 0, 0, 68, 0, 72, -24, 0, 0, 20, 0, -72, -78, 0, 0, -448, 0, -132, 0, 0, 0, 0, 0, -60, 0, 0, 0, 36, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -42, -98, 0, 0, 0, 0, -168, 0, 0, 66, 152, 0, 0, 0, 0, 0, 0, 0, -90, -188, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, -72, 120, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -234, 0, 0, -196, 0, 0, 100, 0, -150, 72, 0, 0, 68, 0, 0, 0, 0, 48, 360, 0, 0, 0, 0, 0, 108, 0, 312, 0, 0, 6, 0, 0, 0, 88, 0, 0, 0, 0, 0, -14, 0, 72, 0, 0, -120, 72, 0, -24, 238, 0, 84, 200, 0, 0, -36, 0, 0, 24, 0, -6, 0, 0, 0, 0, 0, 24, 0, 0, 0, 4, 0, 0, -16, 0, 12, 0, 0, 0, 0, 0, 24, 64, 0, 0, 0, 0, 30, 0, 0, -72, 130, 0, -72, 0, 0, -48, 0, 0, 24, -156, 0, 0, 0, 0, 0, 0, 0, 0, -236, 0, -60, -76, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, -132, 80, 0, 0, -114, 0, 0, 8, 0, 78, 408, 0, 0, -76, 0, 0, 0, 0, 96, -60, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 168, 0, 0, 0, -212, 0, 0, 0, 0, 0, -76, 0, -24, 0, 0, -24, -88, 0, 48, 250, 0, 0, -30, 0, -6, -32, 0, 0, 452, 0, -18, 0, 0, 0, 0, 0, 24, 0, 0, 0, -8, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -78, -208, 0, 0, 0, 0, -72, 0, 0, 60, -46, 0, 288, 0, 0, -12, 0, 0, 24, 184, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, -84, -200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -284, 0, 0, 200, 0, 0, 180, 0, 123, -68, 0, 0, -712, 0, 0, 0, 0, -42, 456, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, -48, 0, 0, 0, 8, 0, 0, 0, 0, 0, -40, 0, 360, 0, 0, -84, 212, 0, -12, -452, 0, -180, -48, 0, 48, -136, 0, 0, -72, 0, 36, 0, 0, 0, 0, 0, -48, 0, 0, 0, -146, 0, 0, -48, 0, 36, 0, 0, 0, 0, 0, -48, 256, 0, 0, 0, 0, 288, 0, 0, -132, 167, 0, 48, 0, 0, -108, 0, 0, -24, -72, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, -36, 12, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, -156, 4, 0, 0, -128, 0, 0, 292, 0, 24, -72, 0, 0, 84, 0, 0, 0, 0, -240, -28, 0, 0, 0, 0, 0, -116, 0, -48, 0, 0, 18, 0, 0, 0, 96, 0, 0, 0, 0, 0, -264, 0, -48, 0, 0, 36, 284, 0, -18, 236, 0, -132, 64, 0, 192, -54, 0, 0, 376, 0, -180, 0, 0, 0, 0, 0, 252, 0, 0, 0, 264, 0, 0, -28, 0, -66, 0, 0, 0, 0, 0, -72, -8, 0, 0, 0, 0, -150, 0, 0, 0, 183, 0, -36, 0, 0, 18, 0, 0, -192, -120, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 84, -60, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, -54, 472, 0, 0, -188, 0, 0, 8, 0, 6, 12, 0, 0, 246, 0, 0, 0, 0, 24, -1076, 0, 0, 0, 0, 0, -96, 0, -42, 0, 0, 60, 0, 0, 0, 80, 0, 0, 0, 0, 0, -136, 0, -12, 0, 0, 156, -312, 0, -60, 184, 0, 96, -132, 0, -60, 576, 0, 0, -16, 0, -72, 0, 0, 0, 0, 0, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35825988
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 36, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4504149416741030, 'source_is_minimal': False, 'source_label': '2214.2.i.b.901.12', 'source_level': 2214, 'target_conrey_index': 901, 'target_dim': 36, 'target_embedding_index': 12, 'target_hecke_orbit_code': 4504149416741030, 'target_is_minimal': False, 'target_label': '2214.2.i.b.901.12', 'target_level': 2214, 'twist_class_label': '738.2.i.b.409.8', 'twist_class_level': 738, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35825989
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 36, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4504149416741030, 'source_is_minimal': False, 'source_label': '2214.2.i.b.901.12', 'source_level': 2214, 'target_conrey_index': 409, 'target_dim': 36, 'target_embedding_index': 11, 'target_hecke_orbit_code': 4504149416739554, 'target_is_minimal': True, 'target_label': '738.2.i.b.409.11', 'target_level': 738, 'twist_class_label': '738.2.i.b.409.8', 'twist_class_level': 738, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35825990
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 36, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4504149416741030, 'source_is_minimal': False, 'source_label': '2214.2.i.b.901.12', 'source_level': 2214, 'target_conrey_index': 655, 'target_dim': 36, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504149416739554, 'target_is_minimal': True, 'target_label': '738.2.i.b.655.8', 'target_level': 738, 'twist_class_label': '738.2.i.b.409.8', 'twist_class_level': 738, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35825991
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 36, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4504149416741030, 'source_is_minimal': False, 'source_label': '2214.2.i.b.901.12', 'source_level': 2214, 'target_conrey_index': 1639, 'target_dim': 36, 'target_embedding_index': 11, 'target_hecke_orbit_code': 4504149416741030, 'target_is_minimal': False, 'target_label': '2214.2.i.b.1639.11', 'target_level': 2214, 'twist_class_label': '738.2.i.b.409.8', 'twist_class_level': 738, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35825992
{'conductor': 41, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 36, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4504149416741030, 'source_is_minimal': False, 'source_label': '2214.2.i.b.901.12', 'source_level': 2214, 'target_conrey_index': 901, 'target_dim': 36, 'target_embedding_index': 11, 'target_hecke_orbit_code': 4504149416741030, 'target_is_minimal': False, 'target_label': '2214.2.i.b.901.11', 'target_level': 2214, 'twist_class_label': '738.2.i.b.409.8', 'twist_class_level': 738, 'twisting_char_label': '41.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 35825993
{'conductor': 123, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 36, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4504149416741030, 'source_is_minimal': False, 'source_label': '2214.2.i.b.901.12', 'source_level': 2214, 'target_conrey_index': 409, 'target_dim': 36, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504149416739554, 'target_is_minimal': True, 'target_label': '738.2.i.b.409.8', 'target_level': 738, 'twist_class_label': '738.2.i.b.409.8', 'twist_class_level': 738, 'twisting_char_label': '123.122', 'twisting_conrey_index': 122, 'weight': 2}
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id: 35825994
{'conductor': 369, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 36, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4504149416741030, 'source_is_minimal': False, 'source_label': '2214.2.i.b.901.12', 'source_level': 2214, 'target_conrey_index': 655, 'target_dim': 36, 'target_embedding_index': 11, 'target_hecke_orbit_code': 4504149416739554, 'target_is_minimal': True, 'target_label': '738.2.i.b.655.11', 'target_level': 738, 'twist_class_label': '738.2.i.b.409.8', 'twist_class_level': 738, 'twisting_char_label': '369.245', 'twisting_conrey_index': 245, 'weight': 2}
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id: 35825995
{'conductor': 369, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 36, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4504149416741030, 'source_is_minimal': False, 'source_label': '2214.2.i.b.901.12', 'source_level': 2214, 'target_conrey_index': 1639, 'target_dim': 36, 'target_embedding_index': 12, 'target_hecke_orbit_code': 4504149416741030, 'target_is_minimal': False, 'target_label': '2214.2.i.b.1639.12', 'target_level': 2214, 'twist_class_label': '738.2.i.b.409.8', 'twist_class_level': 738, 'twisting_char_label': '369.286', 'twisting_conrey_index': 286, 'weight': 2}
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hecke_orbit_code 4504149416741030 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '2214.2.i.b', 'level': 2214, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 23347945
{'hecke_orbit_code': 4504149416741030, 'n': 1, 'trace_an': 36}
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id: 23347946
{'hecke_orbit_code': 4504149416741030, 'n': 2, 'trace_an': 18}
-
id: 23347947
{'hecke_orbit_code': 4504149416741030, 'n': 3, 'trace_an': 0}
-
id: 23347948
{'hecke_orbit_code': 4504149416741030, 'n': 4, 'trace_an': -18}
-
id: 23347949
{'hecke_orbit_code': 4504149416741030, 'n': 5, 'trace_an': -4}
-
id: 23347950
{'hecke_orbit_code': 4504149416741030, 'n': 6, 'trace_an': 0}
-
id: 23347951
{'hecke_orbit_code': 4504149416741030, 'n': 7, 'trace_an': 0}
-
id: 23347952
{'hecke_orbit_code': 4504149416741030, 'n': 8, 'trace_an': -36}
-
id: 23347953
{'hecke_orbit_code': 4504149416741030, 'n': 9, 'trace_an': 0}
-
id: 23347954
{'hecke_orbit_code': 4504149416741030, 'n': 10, 'trace_an': -8}
-
id: 23347955
{'hecke_orbit_code': 4504149416741030, 'n': 11, 'trace_an': 0}
-
id: 23347956
{'hecke_orbit_code': 4504149416741030, 'n': 12, 'trace_an': 0}
-
id: 23347957
{'hecke_orbit_code': 4504149416741030, 'n': 13, 'trace_an': 0}
-
id: 23347958
{'hecke_orbit_code': 4504149416741030, 'n': 14, 'trace_an': 0}
-
id: 23347959
{'hecke_orbit_code': 4504149416741030, 'n': 15, 'trace_an': 0}
-
id: 23347960
{'hecke_orbit_code': 4504149416741030, 'n': 16, 'trace_an': -18}
-
id: 23347961
{'hecke_orbit_code': 4504149416741030, 'n': 17, 'trace_an': 0}
-
id: 23347962
{'hecke_orbit_code': 4504149416741030, 'n': 18, 'trace_an': 0}
-
id: 23347963
{'hecke_orbit_code': 4504149416741030, 'n': 19, 'trace_an': 0}
-
id: 23347964
{'hecke_orbit_code': 4504149416741030, 'n': 20, 'trace_an': -4}
-
id: 23347965
{'hecke_orbit_code': 4504149416741030, 'n': 21, 'trace_an': 0}
-
id: 23347966
{'hecke_orbit_code': 4504149416741030, 'n': 22, 'trace_an': 0}
-
id: 23347967
{'hecke_orbit_code': 4504149416741030, 'n': 23, 'trace_an': 4}
-
id: 23347968
{'hecke_orbit_code': 4504149416741030, 'n': 24, 'trace_an': 0}
-
id: 23347969
{'hecke_orbit_code': 4504149416741030, 'n': 25, 'trace_an': -26}
-
id: 23347970
{'hecke_orbit_code': 4504149416741030, 'n': 26, 'trace_an': 0}
-
id: 23347971
{'hecke_orbit_code': 4504149416741030, 'n': 27, 'trace_an': 0}
-
id: 23347972
{'hecke_orbit_code': 4504149416741030, 'n': 28, 'trace_an': 0}
-
id: 23347973
{'hecke_orbit_code': 4504149416741030, 'n': 29, 'trace_an': 0}
-
id: 23347974
{'hecke_orbit_code': 4504149416741030, 'n': 30, 'trace_an': 0}
-
id: 23347975
{'hecke_orbit_code': 4504149416741030, 'n': 31, 'trace_an': 8}
-
id: 23347976
{'hecke_orbit_code': 4504149416741030, 'n': 32, 'trace_an': 18}
-
id: 23347977
{'hecke_orbit_code': 4504149416741030, 'n': 33, 'trace_an': 0}
-
id: 23347978
{'hecke_orbit_code': 4504149416741030, 'n': 34, 'trace_an': 0}
-
id: 23347979
{'hecke_orbit_code': 4504149416741030, 'n': 35, 'trace_an': 0}
-
id: 23347980
{'hecke_orbit_code': 4504149416741030, 'n': 36, 'trace_an': 0}
-
id: 23347981
{'hecke_orbit_code': 4504149416741030, 'n': 37, 'trace_an': -60}
-
id: 23347982
{'hecke_orbit_code': 4504149416741030, 'n': 38, 'trace_an': 0}
-
id: 23347983
{'hecke_orbit_code': 4504149416741030, 'n': 39, 'trace_an': 0}
-
id: 23347984
{'hecke_orbit_code': 4504149416741030, 'n': 40, 'trace_an': 4}
-
id: 23347985
{'hecke_orbit_code': 4504149416741030, 'n': 41, 'trace_an': 6}
-
id: 23347986
{'hecke_orbit_code': 4504149416741030, 'n': 42, 'trace_an': 0}
-
id: 23347987
{'hecke_orbit_code': 4504149416741030, 'n': 43, 'trace_an': 6}
-
id: 23347988
{'hecke_orbit_code': 4504149416741030, 'n': 44, 'trace_an': 0}
-
id: 23347989
{'hecke_orbit_code': 4504149416741030, 'n': 45, 'trace_an': 0}
-
id: 23347990
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id: 23348193
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id: 23348194
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id: 23348195
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id: 23348196
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id: 23348197
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id: 23348198
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id: 23348199
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id: 23348200
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id: 23348201
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id: 23348202
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