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mf_newforms • Show schema
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{'Nk2': 6048, 'analytic_conductor': 12.073380785617594, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, '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': [1512, 2, [1135, 757, 785, 1081], [2, 1, 2, 2]], 'cm_discs': [], 'conrey_index': 757, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [7921, 0, 14084, 0, 9491, 0, 3048, 0, 483, 0, 36, 0, 1]], [17, [8156736, 0, -6700992, 0, 1407472, 0, -128800, 0, 5788, 0, -124, 0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518135609361896, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 24, 8, -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': '1512.2.c.f', 'level': 1512, 'level_is_powerful': False, 'level_is_prime': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6048, 'analytic_conductor': 12.073380785617594, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1512, 2, [1135, 757, 785, 1081], [2, 1, 2, 2]], 'conrey_index': 757, 'cusp_dim': 276, 'dim': 96, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 17], 'hecke_orbit_code': 137472509416, 'hecke_orbit_dims': [2, 2, 8, 16, 20, 24, 24], 'label': '1512.2.c', 'level': 1512, '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, 7], 'level_radical': 42, 'mf_dim': 300, 'mf_new_dim': 96, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 576, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 24, 0, 0, -96, 0, 0, 16, 0, 0, -16, 0, 0, 36, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, 0, 96, 0, 0, 24, 0, 0, 32, 0, 0, -44, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -40, 0, 0, 80, 0, 0, 12, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 92, 0, 0, -32, 0, 0, 28, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 92, 0, 0, -96, 0, 0, 24, 0, 0, -64, 0, 0, -128, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -12, 0, 0, 64, 0, 0, 0, 0, 0, -128, 0, 0, 16, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -44, 0, 0, -160, 0, 0, -4, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -168, 0, 0, 64, 0, 0, -4, 0, 0, 192, 0, 0, -56, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 16, 0, 0, -64, 0, 0, -8, 0, 0, -16, 0, 0, 180, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -156, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 32, 0, 0, -168, 0, 0, -80, 0, 0, 68, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -112, 0, 0, -64, 0, 0, -136, 0, 0, -144, 0, 0, -48, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -140, 0, 0, -16, 0, 0, 232, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -112, 0, 0, -16, 0, 0, -12, 0, 0, 336, 0, 0, -308, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 272, 0, 0, -16, 0, 0, -128, 0, 0, 224, 0, 0, 48, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, -128, 0, 0, 64, 0, 0, 408, 0, 0, -336, 0, 0, 264, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 196, 0, 0, 64, 0, 0, -16, 0, 0, -128, 0, 0, 4, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 144, 0, 0, 16, 0, 0, 8, 0, 0, 128, 0, 0, 96, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -104, 0, 0, 32, 0, 0, -260, 0, 0, 80, 0, 0, -4, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 180, 0, 0, -80, 0, 0, 8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -116, 0, 0, 64, 0, 0, 112, 0, 0, -112, 0, 0, 76, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 312, 0, 0, -16, 0, 0, -216, 0, 0, 0, 0, 0, -300, 0, 0, 0, 0, 0, 20, 0, 0, -320, 0, 0, 208, 0, 0, -144, 0, 0, -172, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -80, 0, 0, 352, 0, 0, 8, 0, 0, -160, 0, 0, -232, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 236, 0, 0, -368, 0, 0, -16, 0, 0, 16, 0, 0, 176, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 472, 0, 0, 96, 0, 0, 164, 0, 0, 64, 0, 0, 12, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, 216, 0, 0, -48, 0, 0, 296, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 48, 0, 0, 320, 0, 0, -168, 0, 0, -176, 0, 0, -148, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -220, 0, 0, 16, 0, 0, -368, 0, 0, -768, 0, 0, 504, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, -696, 0, 0, 336, 0, 0, -248, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 108, 0, 0, 32, 0, 0, -260, 0, 0, 592, 0, 0, 224, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -460, 0, 0, 112, 0, 0, 352, 0, 0, 32, 0, 0, -240, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, -360, 0, 0, -96, 0, 0, 128, 0, 0, 208, 0, 0, -152, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -372, 0, 0, -48, 0, 0, 236, 0, 0, 64, 0, 0, 280, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 424, 0, 0, -496, 0, 0, -20, 0, 0, 16, 0, 0, -456, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 128, 0, 0, -176, 0, 0, -64, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, -136, 0, 0, -160, 0, 0, 248, 0, 0, 80, 0, 0, 252, 0, 0, 0, 0, 0, 636, 0, 0, 0, 0, 0, -368, 0, 0, 448, 0, 0, -56, 0, 0, 176, 0, 0, 552, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -276, 0, 0, 192, 0, 0, -136, 0, 0, 576, 0, 0, -120, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 16, 0, 0, 32, 0, 0, -608, 0, 0, -144, 0, 0, 112, 0, 0, 0, 0, 0, 56], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45127861
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 22518135609361896, 'source_is_minimal': True, 'source_label': '1512.2.c.f.757.15', 'source_level': 1512, 'target_conrey_index': 757, 'target_dim': 24, 'target_embedding_index': 15, 'target_hecke_orbit_code': 22518135609361896, 'target_is_minimal': True, 'target_label': '1512.2.c.f.757.15', 'target_level': 1512, 'twist_class_label': '1512.2.c.f.757.9', 'twist_class_level': 1512, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45127862
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 22518135609361896, 'source_is_minimal': True, 'source_label': '1512.2.c.f.757.15', 'source_level': 1512, 'target_conrey_index': 757, 'target_dim': 24, 'target_embedding_index': 10, 'target_hecke_orbit_code': 22518135609361896, 'target_is_minimal': True, 'target_label': '1512.2.c.f.757.10', 'target_level': 1512, 'twist_class_label': '1512.2.c.f.757.9', 'twist_class_level': 1512, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45127863
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 22518135609361896, 'source_is_minimal': True, 'source_label': '1512.2.c.f.757.15', 'source_level': 1512, 'target_conrey_index': 3025, 'target_dim': 24, 'target_embedding_index': 23, 'target_hecke_orbit_code': 27021735236736928, 'target_is_minimal': False, 'target_label': '6048.2.c.g.3025.23', 'target_level': 6048, 'twist_class_label': '1512.2.c.f.757.9', 'twist_class_level': 1512, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45127864
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 22518135609361896, 'source_is_minimal': True, 'source_label': '1512.2.c.f.757.15', 'source_level': 1512, 'target_conrey_index': 3025, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735236736928, 'target_is_minimal': False, 'target_label': '6048.2.c.g.3025.2', 'target_level': 6048, 'twist_class_label': '1512.2.c.f.757.9', 'twist_class_level': 1512, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45127865
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 22518135609361896, 'source_is_minimal': True, 'source_label': '1512.2.c.f.757.15', 'source_level': 1512, 'target_conrey_index': 757, 'target_dim': 24, 'target_embedding_index': 16, 'target_hecke_orbit_code': 22518135609361896, 'target_is_minimal': True, 'target_label': '1512.2.c.f.757.16', 'target_level': 1512, 'twist_class_label': '1512.2.c.f.757.9', 'twist_class_level': 1512, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45127866
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 22518135609361896, 'source_is_minimal': True, 'source_label': '1512.2.c.f.757.15', 'source_level': 1512, 'target_conrey_index': 3025, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735236736928, 'target_is_minimal': False, 'target_label': '6048.2.c.g.3025.1', 'target_level': 6048, 'twist_class_label': '1512.2.c.f.757.9', 'twist_class_level': 1512, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45127867
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 22518135609361896, 'source_is_minimal': True, 'source_label': '1512.2.c.f.757.15', 'source_level': 1512, 'target_conrey_index': 757, 'target_dim': 24, 'target_embedding_index': 9, 'target_hecke_orbit_code': 22518135609361896, 'target_is_minimal': True, 'target_label': '1512.2.c.f.757.9', 'target_level': 1512, 'twist_class_label': '1512.2.c.f.757.9', 'twist_class_level': 1512, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45127868
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 22518135609361896, 'source_is_minimal': True, 'source_label': '1512.2.c.f.757.15', 'source_level': 1512, 'target_conrey_index': 3025, 'target_dim': 24, 'target_embedding_index': 24, 'target_hecke_orbit_code': 27021735236736928, 'target_is_minimal': False, 'target_label': '6048.2.c.g.3025.24', 'target_level': 6048, 'twist_class_label': '1512.2.c.f.757.9', 'twist_class_level': 1512, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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hecke_orbit_code 22518135609361896 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 6, 'label': '1512.2.c.f', 'level': 1512, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 44130103
{'hecke_orbit_code': 22518135609361896, 'n': 1, 'trace_an': 24}
-
id: 44130104
{'hecke_orbit_code': 22518135609361896, 'n': 2, 'trace_an': 0}
-
id: 44130105
{'hecke_orbit_code': 22518135609361896, 'n': 3, 'trace_an': 0}
-
id: 44130106
{'hecke_orbit_code': 22518135609361896, 'n': 4, 'trace_an': 0}
-
id: 44130107
{'hecke_orbit_code': 22518135609361896, 'n': 5, 'trace_an': 0}
-
id: 44130108
{'hecke_orbit_code': 22518135609361896, 'n': 6, 'trace_an': 0}
-
id: 44130109
{'hecke_orbit_code': 22518135609361896, 'n': 7, 'trace_an': 24}
-
id: 44130110
{'hecke_orbit_code': 22518135609361896, 'n': 8, 'trace_an': 0}
-
id: 44130111
{'hecke_orbit_code': 22518135609361896, 'n': 9, 'trace_an': 0}
-
id: 44130112
{'hecke_orbit_code': 22518135609361896, 'n': 10, 'trace_an': 20}
-
id: 44130113
{'hecke_orbit_code': 22518135609361896, 'n': 11, 'trace_an': 0}
-
id: 44130114
{'hecke_orbit_code': 22518135609361896, 'n': 12, 'trace_an': 0}
-
id: 44130115
{'hecke_orbit_code': 22518135609361896, 'n': 13, 'trace_an': 0}
-
id: 44130116
{'hecke_orbit_code': 22518135609361896, 'n': 14, 'trace_an': 0}
-
id: 44130117
{'hecke_orbit_code': 22518135609361896, 'n': 15, 'trace_an': 0}
-
id: 44130118
{'hecke_orbit_code': 22518135609361896, 'n': 16, 'trace_an': -4}
-
id: 44130119
{'hecke_orbit_code': 22518135609361896, 'n': 17, 'trace_an': 0}
-
id: 44130120
{'hecke_orbit_code': 22518135609361896, 'n': 18, 'trace_an': 0}
-
id: 44130121
{'hecke_orbit_code': 22518135609361896, 'n': 19, 'trace_an': 0}
-
id: 44130122
{'hecke_orbit_code': 22518135609361896, 'n': 20, 'trace_an': 0}
-
id: 44130123
{'hecke_orbit_code': 22518135609361896, 'n': 21, 'trace_an': 0}
-
id: 44130124
{'hecke_orbit_code': 22518135609361896, 'n': 22, 'trace_an': 4}
-
id: 44130125
{'hecke_orbit_code': 22518135609361896, 'n': 23, 'trace_an': 0}
-
id: 44130126
{'hecke_orbit_code': 22518135609361896, 'n': 24, 'trace_an': 0}
-
id: 44130127
{'hecke_orbit_code': 22518135609361896, 'n': 25, 'trace_an': -24}
-
id: 44130128
{'hecke_orbit_code': 22518135609361896, 'n': 26, 'trace_an': 0}
-
id: 44130129
{'hecke_orbit_code': 22518135609361896, 'n': 27, 'trace_an': 0}
-
id: 44130130
{'hecke_orbit_code': 22518135609361896, 'n': 28, 'trace_an': 0}
-
id: 44130131
{'hecke_orbit_code': 22518135609361896, 'n': 29, 'trace_an': 0}
-
id: 44130132
{'hecke_orbit_code': 22518135609361896, 'n': 30, 'trace_an': 0}
-
id: 44130133
{'hecke_orbit_code': 22518135609361896, 'n': 31, 'trace_an': -16}
-
id: 44130134
{'hecke_orbit_code': 22518135609361896, 'n': 32, 'trace_an': 0}
-
id: 44130135
{'hecke_orbit_code': 22518135609361896, 'n': 33, 'trace_an': 0}
-
id: 44130136
{'hecke_orbit_code': 22518135609361896, 'n': 34, 'trace_an': 4}
-
id: 44130137
{'hecke_orbit_code': 22518135609361896, 'n': 35, 'trace_an': 0}
-
id: 44130138
{'hecke_orbit_code': 22518135609361896, 'n': 36, 'trace_an': 0}
-
id: 44130139
{'hecke_orbit_code': 22518135609361896, 'n': 37, 'trace_an': 0}
-
id: 44130140
{'hecke_orbit_code': 22518135609361896, 'n': 38, 'trace_an': 0}
-
id: 44130141
{'hecke_orbit_code': 22518135609361896, 'n': 39, 'trace_an': 0}
-
id: 44130142
{'hecke_orbit_code': 22518135609361896, 'n': 40, 'trace_an': 12}
-
id: 44130143
{'hecke_orbit_code': 22518135609361896, 'n': 41, 'trace_an': 0}
-
id: 44130144
{'hecke_orbit_code': 22518135609361896, 'n': 42, 'trace_an': 0}
-
id: 44130145
{'hecke_orbit_code': 22518135609361896, 'n': 43, 'trace_an': 0}
-
id: 44130146
{'hecke_orbit_code': 22518135609361896, 'n': 44, 'trace_an': 0}
-
id: 44130147
{'hecke_orbit_code': 22518135609361896, 'n': 45, 'trace_an': 0}
-
id: 44130148
{'hecke_orbit_code': 22518135609361896, 'n': 46, 'trace_an': -52}
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id: 44130149
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