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mf_newforms • Show schema
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{'Nk2': 405, 'analytic_conductor': 1.226161189621336, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 12, 'char_parity': -1, 'char_values': [45, 12, [11, 37], [8, 3]], 'cm_discs': [], 'conrey_index': 7, 'dim': 40, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 687245099053, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 45, 11, -1, 12, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '45.3.k.a', 'level': 45, '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, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 405, 'analytic_conductor': 1.226161189621336, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 12, 'char_parity': -1, 'char_values': [45, 12, [11, 37], [8, 3]], 'conrey_index': 7, 'cusp_dim': 40, 'dim': 40, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_cutter_primes': [], 'hecke_orbit_code': 687245099053, 'hecke_orbit_dims': [40], 'label': '45.3.k', 'level': 45, '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': 56, 'mf_new_dim': 56, 'num_forms': 1, 'prim_orbit_index': 11, 'relative_dim': 10, 'sturm_bound': 18, 'trace_bound': 0, 'trace_display': [-2, -6, -2, -2], 'traces': [40, -2, -6, 0, -2, -24, -2, -24, 0, -8, 8, -30, -2, 0, -30, 28, 28, 48, 0, -114, 12, 14, 82, 0, -8, -112, -198, -88, 0, 162, -4, -14, 96, 0, 352, 264, -92, 330, 0, 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mf_twists_cc • Show schema
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id: 8506213
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 13, 'target_dim': 40, 'target_embedding_index': 7, 'target_hecke_orbit_code': 687245099053, 'target_is_minimal': True, 'target_label': '45.3.k.a.13.7', 'target_level': 45, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 8506214
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 118, 'target_dim': 40, 'target_embedding_index': 4, 'target_hecke_orbit_code': 755964575879, 'target_is_minimal': False, 'target_label': '135.3.l.a.118.4', 'target_level': 135, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 8506215
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 22, 'target_dim': 40, 'target_embedding_index': 4, 'target_hecke_orbit_code': 687245099053, 'target_is_minimal': True, 'target_label': '45.3.k.a.22.4', 'target_level': 45, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 8506216
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 157, 'target_dim': 40, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504561750376673, 'target_is_minimal': False, 'target_label': '225.3.o.b.157.7', 'target_level': 225, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 8506217
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 193, 'target_dim': 40, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504561750376673, 'target_is_minimal': False, 'target_label': '225.3.o.b.193.4', 'target_level': 225, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 8506218
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 73, 'target_dim': 40, 'target_embedding_index': 7, 'target_hecke_orbit_code': 755964575879, 'target_is_minimal': False, 'target_label': '135.3.l.a.73.7', 'target_level': 135, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 8506219
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 163, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525609758785941, 'target_is_minimal': False, 'target_label': '405.3.g.h.163.4', 'target_level': 405, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 8506220
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 163, 'target_dim': 20, 'target_embedding_index': 7, 'target_hecke_orbit_code': 27022010131415445, 'target_is_minimal': False, 'target_label': '405.3.g.g.163.7', 'target_level': 405, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 8506221
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 43, 'target_dim': 40, 'target_embedding_index': 4, 'target_hecke_orbit_code': 687245099053, 'target_is_minimal': True, 'target_label': '45.3.k.a.43.4', 'target_level': 45, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 8506222
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 37, 'target_dim': 40, 'target_embedding_index': 7, 'target_hecke_orbit_code': 755964575879, 'target_is_minimal': False, 'target_label': '135.3.l.a.37.7', 'target_level': 135, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 8506223
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 127, 'target_dim': 40, 'target_embedding_index': 4, 'target_hecke_orbit_code': 755964575879, 'target_is_minimal': False, 'target_label': '135.3.l.a.127.4', 'target_level': 135, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 8506224
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 7, 'target_dim': 40, 'target_embedding_index': 7, 'target_hecke_orbit_code': 687245099053, 'target_is_minimal': True, 'target_label': '45.3.k.a.7.7', 'target_level': 45, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 8506225
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 82, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525609758785941, 'target_is_minimal': False, 'target_label': '405.3.g.h.82.4', 'target_level': 405, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 3}
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id: 8506226
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 82, 'target_dim': 20, 'target_embedding_index': 7, 'target_hecke_orbit_code': 27022010131415445, 'target_is_minimal': False, 'target_label': '405.3.g.g.82.7', 'target_level': 405, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 3}
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id: 8506227
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 43, 'target_dim': 40, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504561750376673, 'target_is_minimal': False, 'target_label': '225.3.o.b.43.7', 'target_level': 225, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 3}
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id: 8506228
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 40, 'source_embedding_index': 7, 'source_hecke_orbit_code': 687245099053, 'source_is_minimal': True, 'source_label': '45.3.k.a.13.7', 'source_level': 45, 'target_conrey_index': 7, 'target_dim': 40, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504561750376673, 'target_is_minimal': False, 'target_label': '225.3.o.b.7.4', 'target_level': 225, 'twist_class_label': '45.3.k.a.7.7', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 3}
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hecke_orbit_code 687245099053 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '45.3.k.a', 'level': 45, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 10653144
{'hecke_orbit_code': 687245099053, 'n': 1, 'trace_an': 40}
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id: 10653145
{'hecke_orbit_code': 687245099053, 'n': 2, 'trace_an': -2}
-
id: 10653146
{'hecke_orbit_code': 687245099053, 'n': 3, 'trace_an': -6}
-
id: 10653147
{'hecke_orbit_code': 687245099053, 'n': 4, 'trace_an': 0}
-
id: 10653148
{'hecke_orbit_code': 687245099053, 'n': 5, 'trace_an': -2}
-
id: 10653149
{'hecke_orbit_code': 687245099053, 'n': 6, 'trace_an': -24}
-
id: 10653150
{'hecke_orbit_code': 687245099053, 'n': 7, 'trace_an': -2}
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id: 10653151
{'hecke_orbit_code': 687245099053, 'n': 8, 'trace_an': -24}
-
id: 10653152
{'hecke_orbit_code': 687245099053, 'n': 9, 'trace_an': 0}
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id: 10653153
{'hecke_orbit_code': 687245099053, 'n': 10, 'trace_an': -8}
-
id: 10653154
{'hecke_orbit_code': 687245099053, 'n': 11, 'trace_an': 8}
-
id: 10653155
{'hecke_orbit_code': 687245099053, 'n': 12, 'trace_an': -30}
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id: 10653156
{'hecke_orbit_code': 687245099053, 'n': 13, 'trace_an': -2}
-
id: 10653157
{'hecke_orbit_code': 687245099053, 'n': 14, 'trace_an': 0}
-
id: 10653158
{'hecke_orbit_code': 687245099053, 'n': 15, 'trace_an': -30}
-
id: 10653159
{'hecke_orbit_code': 687245099053, 'n': 16, 'trace_an': 28}
-
id: 10653160
{'hecke_orbit_code': 687245099053, 'n': 17, 'trace_an': 28}
-
id: 10653161
{'hecke_orbit_code': 687245099053, 'n': 18, 'trace_an': 48}
-
id: 10653162
{'hecke_orbit_code': 687245099053, 'n': 19, 'trace_an': 0}
-
id: 10653163
{'hecke_orbit_code': 687245099053, 'n': 20, 'trace_an': -114}
-
id: 10653164
{'hecke_orbit_code': 687245099053, 'n': 21, 'trace_an': 12}
-
id: 10653165
{'hecke_orbit_code': 687245099053, 'n': 22, 'trace_an': 14}
-
id: 10653166
{'hecke_orbit_code': 687245099053, 'n': 23, 'trace_an': 82}
-
id: 10653167
{'hecke_orbit_code': 687245099053, 'n': 24, 'trace_an': 0}
-
id: 10653168
{'hecke_orbit_code': 687245099053, 'n': 25, 'trace_an': -8}
-
id: 10653169
{'hecke_orbit_code': 687245099053, 'n': 26, 'trace_an': -112}
-
id: 10653170
{'hecke_orbit_code': 687245099053, 'n': 27, 'trace_an': -198}
-
id: 10653171
{'hecke_orbit_code': 687245099053, 'n': 28, 'trace_an': -88}
-
id: 10653172
{'hecke_orbit_code': 687245099053, 'n': 29, 'trace_an': 0}
-
id: 10653173
{'hecke_orbit_code': 687245099053, 'n': 30, 'trace_an': 162}
-
id: 10653174
{'hecke_orbit_code': 687245099053, 'n': 31, 'trace_an': -4}
-
id: 10653175
{'hecke_orbit_code': 687245099053, 'n': 32, 'trace_an': -14}
-
id: 10653176
{'hecke_orbit_code': 687245099053, 'n': 33, 'trace_an': 96}
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id: 10653390
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id: 10653393
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id: 10653394
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id: 10653396
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id: 10653397
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id: 10653398
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id: 10653399
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id: 10653400
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id: 10653401
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