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mf_newforms • Show schema
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 105, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1470, 2, [491, 1177, 1081], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1469, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [4384, 0, 330880, 0, 266528, 0, 44976, 0, 3066, 0, 92, 0, 1]], [13, [429632, 0, -900544, 0, 486448, 0, -71072, 0, 4204, 0, -108, 0, 1]], [23, [-1264, -1024, 1192, -96, -62, 4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021803956209086, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 105, 7, 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': '1470.2.d.g', 'level': 1470, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'char_conductor': 105, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1470, 2, [491, 1177, 1081], [1, 1, 1]], 'conrey_index': 1469, 'cusp_dim': 304, 'dim': 80, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 23], 'hecke_orbit_code': 206191986110, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 24, 24], 'label': '1470.2.d', 'level': 1470, '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, 5, 7], 'level_radical': 210, 'mf_dim': 368, 'mf_new_dim': 80, 'num_forms': 8, 'prim_orbit_index': 7, 'relative_dim': 80, 'sturm_bound': 672, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 80, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 80, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 56, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -92, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 4, 0, 0, 0, 0, 0, 24, 0, 0, -24, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 4, -184, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -184, 0, 0, 4, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, -96, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 232, 0, 0, 0, 0, 0, -96, 0, 0, -64, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -8, -144, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -116, 0, 0, -76, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, -464, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, -212, 0, 0, 0, 0, 0, 8, 0, 0, 24, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, -124, -160, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, -284, 0, 0, 0, 0, 0, 224, 0, 0, 104, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 308, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, -96, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188, 244, 0, 0, 0, 0, 0, 136, 0, 0, 24, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -24, -24, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -88, 0, 0, 208, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, -84, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 8, 0, 0, 0, 0, 0, 72, 0, 0, -56, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, -20, 264, 0, 0, 0, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -336, 0, 0, -184, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 52, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 68, 0, 0, 0, 0, 0, 216, 0, 0, 24, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 188, -288, 0, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -176, 0, 0, 160, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 144, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 72, 0, 0, 0, 0, 0, 40, 0, 0, 352, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -28, -8, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 368, 0, 0, -52, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 352, 0, 40, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 488, 0, 0, 0, 0, 0, -608, 0, 0, -96, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 472, -64, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 104, 0, 0, 792, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 140, 0, 0, 0, -424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -464, -208, 0, 0, 0, 0, 0, 128, 0, 0, -416, 0, 0, 0, 0, -512, 0, 0, 0, 0, 0, 4, 56, 0, 0, 0, 0, 0, 0, 0, 0, -212, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, 132, 0, 0, -116, 0, 0, 0, 0, 0, 0, -392, 0, 0, 0, 0, -76, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45751661
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021803956209086, 'source_is_minimal': True, 'source_label': '1470.2.d.g.1469.5', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021803956209086, 'target_is_minimal': True, 'target_label': '1470.2.d.g.1469.5', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.5', 'twist_class_level': 1470, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45751662
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021803956209086, 'source_is_minimal': True, 'source_label': '1470.2.d.g.1469.5', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31525403583579582, 'target_is_minimal': True, 'target_label': '1470.2.d.h.1469.6', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.5', 'twist_class_level': 1470, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45751663
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021803956209086, 'source_is_minimal': True, 'source_label': '1470.2.d.g.1469.5', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 20, 'target_hecke_orbit_code': 31525403583579582, 'target_is_minimal': True, 'target_label': '1470.2.d.h.1469.20', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.5', 'twist_class_level': 1470, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45751664
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021803956209086, 'source_is_minimal': True, 'source_label': '1470.2.d.g.1469.5', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 20, 'target_hecke_orbit_code': 27021803956209086, 'target_is_minimal': True, 'target_label': '1470.2.d.g.1469.20', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.5', 'twist_class_level': 1470, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 45751665
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021803956209086, 'source_is_minimal': True, 'source_label': '1470.2.d.g.1469.5', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 19, 'target_hecke_orbit_code': 27021803956209086, 'target_is_minimal': True, 'target_label': '1470.2.d.g.1469.19', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.5', 'twist_class_level': 1470, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45751666
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021803956209086, 'source_is_minimal': True, 'source_label': '1470.2.d.g.1469.5', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 19, 'target_hecke_orbit_code': 31525403583579582, 'target_is_minimal': True, 'target_label': '1470.2.d.h.1469.19', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.5', 'twist_class_level': 1470, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45751667
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021803956209086, 'source_is_minimal': True, 'source_label': '1470.2.d.g.1469.5', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525403583579582, 'target_is_minimal': True, 'target_label': '1470.2.d.h.1469.5', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.5', 'twist_class_level': 1470, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 45751668
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021803956209086, 'source_is_minimal': True, 'source_label': '1470.2.d.g.1469.5', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021803956209086, 'target_is_minimal': True, 'target_label': '1470.2.d.g.1469.6', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.5', 'twist_class_level': 1470, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 2}
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hecke_orbit_code 27021803956209086 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 7, 'label': '1470.2.d.g', 'level': 1470, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47231263
{'hecke_orbit_code': 27021803956209086, 'n': 1, 'trace_an': 24}
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id: 47231264
{'hecke_orbit_code': 27021803956209086, 'n': 2, 'trace_an': -24}
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id: 47231265
{'hecke_orbit_code': 27021803956209086, 'n': 3, 'trace_an': 0}
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id: 47231266
{'hecke_orbit_code': 27021803956209086, 'n': 4, 'trace_an': 24}
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id: 47231267
{'hecke_orbit_code': 27021803956209086, 'n': 5, 'trace_an': 0}
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id: 47231268
{'hecke_orbit_code': 27021803956209086, 'n': 6, 'trace_an': 0}
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id: 47231269
{'hecke_orbit_code': 27021803956209086, 'n': 7, 'trace_an': 0}
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id: 47231270
{'hecke_orbit_code': 27021803956209086, 'n': 8, 'trace_an': -24}
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id: 47231271
{'hecke_orbit_code': 27021803956209086, 'n': 9, 'trace_an': 8}
-
id: 47231272
{'hecke_orbit_code': 27021803956209086, 'n': 10, 'trace_an': 0}
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id: 47231273
{'hecke_orbit_code': 27021803956209086, 'n': 11, 'trace_an': 0}
-
id: 47231274
{'hecke_orbit_code': 27021803956209086, 'n': 12, 'trace_an': 0}
-
id: 47231275
{'hecke_orbit_code': 27021803956209086, 'n': 13, 'trace_an': 0}
-
id: 47231276
{'hecke_orbit_code': 27021803956209086, 'n': 14, 'trace_an': 0}
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id: 47231277
{'hecke_orbit_code': 27021803956209086, 'n': 15, 'trace_an': 0}
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id: 47231278
{'hecke_orbit_code': 27021803956209086, 'n': 16, 'trace_an': 24}
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id: 47231279
{'hecke_orbit_code': 27021803956209086, 'n': 17, 'trace_an': 0}
-
id: 47231280
{'hecke_orbit_code': 27021803956209086, 'n': 18, 'trace_an': -8}
-
id: 47231281
{'hecke_orbit_code': 27021803956209086, 'n': 19, 'trace_an': 0}
-
id: 47231282
{'hecke_orbit_code': 27021803956209086, 'n': 20, 'trace_an': 0}
-
id: 47231283
{'hecke_orbit_code': 27021803956209086, 'n': 21, 'trace_an': 0}
-
id: 47231284
{'hecke_orbit_code': 27021803956209086, 'n': 22, 'trace_an': 0}
-
id: 47231285
{'hecke_orbit_code': 27021803956209086, 'n': 23, 'trace_an': -16}
-
id: 47231286
{'hecke_orbit_code': 27021803956209086, 'n': 24, 'trace_an': 0}
-
id: 47231287
{'hecke_orbit_code': 27021803956209086, 'n': 25, 'trace_an': 8}
-
id: 47231288
{'hecke_orbit_code': 27021803956209086, 'n': 26, 'trace_an': 0}
-
id: 47231289
{'hecke_orbit_code': 27021803956209086, 'n': 27, 'trace_an': 0}
-
id: 47231290
{'hecke_orbit_code': 27021803956209086, 'n': 28, 'trace_an': 0}
-
id: 47231291
{'hecke_orbit_code': 27021803956209086, 'n': 29, 'trace_an': 0}
-
id: 47231292
{'hecke_orbit_code': 27021803956209086, 'n': 30, 'trace_an': 0}
-
id: 47231293
{'hecke_orbit_code': 27021803956209086, 'n': 31, 'trace_an': 0}
-
id: 47231294
{'hecke_orbit_code': 27021803956209086, 'n': 32, 'trace_an': -24}
-
id: 47231295
{'hecke_orbit_code': 27021803956209086, 'n': 33, 'trace_an': 0}
-
id: 47231296
{'hecke_orbit_code': 27021803956209086, 'n': 34, 'trace_an': 0}
-
id: 47231297
{'hecke_orbit_code': 27021803956209086, 'n': 35, 'trace_an': 0}
-
id: 47231298
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