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mf_newforms • Show schema
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{'Nk2': 1612, 'analytic_conductor': 3.2179712014575994, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 403, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [403, 6, [249, 313], [3, 2]], 'cm_discs': [], 'conrey_index': 25, 'conrey_indexes': [25, 129], 'dim': 68, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 4854, 0, 268819, 0, 4672934, 0, 25704838, 0, 71173928, 0, 118141291, 0, 128354894, 0, 96106914, 0, 51210844, 0, 19794820, 0, 5599630, 0, 1158124, 0, 172998, 0, 18156, 0, 1269, 0, 53, 0, 1]], [5, [1143094552336, 0, -63474740739652, 0, 2441345174872037, 0, -43565609993361387, 0, 534712939134233900, 0, -4439490088149773915, 0, 27290322564228270281, 0, -117718365920208544411, 0, 368345264161814676415, 0, -735290235013811159202, 0, 1052024460675605468800, 0, -1120766713636376149290, 0, 929772716510261795424, 0, -614055154770373206327, 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1612, 'analytic_conductor': 3.2179712014575994, 'char_conductor': 403, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [403, 6, [249, 313], [3, 2]], 'conrey_index': 25, 'cusp_dim': 72, 'dim': 72, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 755947798931, 'hecke_orbit_dims': [2, 2, 68], 'label': '403.2.l', 'level': 403, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [13, 31], 'level_radical': 403, 'mf_dim': 80, 'mf_new_dim': 80, 'num_forms': 3, 'prim_orbit_index': 12, 'relative_dim': 36, 'sturm_bound': 74, 'trace_bound': 5, 'trace_display': [0, -4, 0, 0], 'traces': [72, 0, -4, -80, 0, 0, 0, 0, -36, 2, 0, -12, 2, 16, 0, 64, 0, 0, 0, 0, 0, -14, -44, 0, 26, 6, 8, 0, 24, -16, 0, 0, 0, 0, -36, 36, 0, 42, -4, 14, 0, -16, -10, 0, 0, 0, 0, 22, 50, 0, 26, -32, 2, 0, -18, -44, 0, 0, 0, 0, 28, -38, 0, -4, -24, 128, 0, 10, -34, 0, 0, 0, 0, -22, 24, 0, -164, -40, -70, 0, -84, -48, 0, 0, 0, 0, 40, -2, 0, -2, -88, 108, 0, 20, 40, 0, 0, 0, 0, -14, 80, 0, 4, 6, 32, 0, 4, 104, 0, 0, 0, 0, -36, 2, 0, -256, 40, 20, 0, 328, 92, 0, 0, 0, 0, -184, 38, 0, -48, -44, -54, 0, 16, 74, 0, 0, 0, 0, -16, -80, 0, -60, -40, 116, 0, 28, 40, 0, 0, 0, 0, -68, 124, 0, 80, 88, -60, 0, -80, -60, 0, 0, 0, 0, 40, 158, 0, -132, 58, -120, 0, 6, -102, 0, 0, 0, 0, 12, 100, 0, 50, -64, 6, 0, -76, 162, 0, 0, 0, 0, 22, 124, 0, -176, -84, -112, 0, -18, 142, 0, 0, 0, 0, -32, 18, 0, 34, -60, -84, 0, -54, -46, 0, 0, 0, 0, -58, -8, 0, 16, 80, 66, 0, 82, 116, 0, 0, 0, 0, 16, -150, 0, 164, 82, -50, 0, 16, 178, 0, 0, 0, 0, -16, -168, 0, -396, -248, -84, 0, 332, 166, 0, 0, 0, 0, 296, -40, 0, 18, -46, -142, 0, 300, -384, 0, 0, 0, 0, 80, -110, 0, -22, -86, -166, 0, 50, 60, 0, 0, 0, 0, -290, -272, 0, -40, 44, 260, 0, 8, 126, 0, 0, 0, 0, -88, -40, 0, 86, -74, 150, 0, 124, 44, 0, 0, 0, 0, 428, 20, 0, 116, 264, 24, 0, -108, 8, 0, 0, 0, 0, -242, 112, 0, 90, 24, 260, 0, 214, 0, 0, 0, 0, 0, 22, 30, 0, 328, 82, -68, 0, -94, -576, 0, 0, 0, 0, -42, -144, 0, 48, 36, -286, 0, -46, -26, 0, 0, 0, 0, 158, -64, 0, 244, 384, -242, 0, 60, -480, 0, 0, 0, 0, 128, -480, 0, 148, 74, -58, 0, -764, 176, 0, 0, 0, 0, -140, 68, 0, -18, 306, 84, 0, -260, -68, 0, 0, 0, 0, -164, -224, 0, 380, -130, 228, 0, -152, -56, 0, 0, 0, 0, 46, -52, 0, -18, 88, 16, 0, 52, -82, 0, 0, 0, 0, -94, 244, 0, -130, 16, -152, 0, -348, -116, 0, 0, 0, 0, -28, -10, 0, 284, -120, -28, 0, 70, 150, 0, 0, 0, 0, 10, -14, 0, 220, -232, 22, 0, 162, -196, 0, 0, 0, 0, 444, -4, 0, 116, -80, 280, 0, 6, -330, 0, 0, 0, 0, 46, 42, 0, -44, -264, 46, 0, -378, -146, 0, 0, 0, 0, 526, 150, 0, 12, -224, 524, 0, -132, 256, 0, 0, 0, 0, -32, 608, 0, -120, 38, -14, 0, 438, 100, 0, 0, 0, 0, 84, 62, 0, -324, 98, 124, 0, 72, 232, 0, 0, 0, 0, -436, 170, 0, -182, -74, 144, 0, -304, 218, 0, 0, 0, 0, -56, 52, 0, 158, -338, 72, 0, -34, -56, 0, 0, 0, 0, -292, 584, 0, 116, 28, -276, 0, 56, -34, 0, 0, 0, 0, -84, 34, 0, -164, 162, -216, 0, 68, -378, 0, 0, 0, 0, 268, 72, 0, 40, 468, -166, 0, -1340, 182, 0, 0, 0, 0, 290, -116, 0, -500, -94, -82, 0, -222, 558, 0, 0, 0, 0, -78, 222, 0, -156, 120, -288, 0, -216, -36, 0, 0, 0, 0, -56, -388, 0, 2, 224, 100, 0, 310, 448, 0, 0, 0, 0, -154, -374, 0, 756, 130, -338, 0, -60, 192, 0, 0, 0, 0, 60, -612, 0, -208, -516, 248, 0, 368, 768, 0, 0, 0, 0, 20, 128, 0, -44, 52, -316, 0, -148, -612, 0, 0, 0, 0, 168, -134, 0, -144, -150, -160, 0, 150, 116, 0, 0, 0, 0, -116, -480, 0, -72, 22, -340, 0, -92, 432, 0, 0, 0, 0, 212, 134, 0, -68, -100, -40, 0, 432, 234, 0, 0, 0, 0, 704, 364, 0, -328, 460, -314, 0, 42, 316, 0, 0, 0, 0, -314, 172, 0, 308, 424, 144, 0, 256, 244, 0, 0, 0, 0, -186, 78, 0, 528, 48, -328, 0, -82, -464, 0, 0, 0, 0, 120, -114, 0, 294, 152, -260, 0, -46, -70, 0, 0, 0, 0, 178, -108, 0, 200, 400, -486, 0, 294, -672, 0, 0, 0, 0, 476, -456, 0, 344, 40, -38, 0, -748, 344, 0, 0, 0, 0, -354, 172, 0, -244, 182, 280, 0, -476, -80, 0, 0, 0, 0, -552, -32, 0, 16, -50, 420, 0, 120, -1004, 0, 0, 0, 0, 80, 312, 0, -186, -66, -16, 0, -92, -98, 0, 0, 0, 0, -150, -196, 0, -86, 112, 64, 0, -384, -52, 0, 0, 0, 0, 160, 130, 0, 286, -180, 122, 0, 80, 140, 0, 0, 0, 0, -282, -172, 0, 10, -640, 30, 0, 218, -416, 0, 0, 0, 0, 624, 150, 0, 620, -186, 12, 0, -152, -422, 0, 0, 0, 0, 202, 264, 0, -148, 260, -182, 0, -200, -488, 0, 0, 0, 0, 218, -242, 0, 146, -116, 1088, 0, 236, -16, 0, 0, 0, 0, -486, 324, 0, -354, 42, -148, 0, 92, 580, 0, 0, 0, 0, 186, 380, 0, -452, 102, 392, 0, 1576, 260, 0, 0, 0, 0, -1144, -14, 0, 90, -94, 48, 0, -236, 428, 0, 0, 0, 0, -600, -532, 0, -10, -220, 384, 0, 386, 56, 0, 0, 0, 0, -126, 200, 0, -88, -36, -540, 0, 676, -342, 0, 0, 0, 0, -138, 364, 0, -604, 192, -912, 0, 368, -164, 0, 0, 0, 0, -424, -40, 0, 18, 780, -48, 0, -448, 294, 0, 0, 0, 0, 116, 340, 0, -512], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41225843
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 68, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007955202539923, 'source_is_minimal': True, 'source_label': '403.2.l.c.25.8', 'source_level': 403, 'target_conrey_index': 25, 'target_dim': 68, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007955202539923, 'target_is_minimal': True, 'target_label': '403.2.l.c.25.8', 'target_level': 403, 'twist_class_label': '403.2.l.c.25.8', 'twist_class_level': 403, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41225844
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 68, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007955202539923, 'source_is_minimal': True, 'source_label': '403.2.l.c.25.8', 'source_level': 403, 'target_conrey_index': 25, 'target_dim': 68, 'target_embedding_index': 27, 'target_hecke_orbit_code': 9007955202539923, 'target_is_minimal': True, 'target_label': '403.2.l.c.25.27', 'target_level': 403, 'twist_class_label': '403.2.l.c.25.8', 'twist_class_level': 403, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 41225845
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 68, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007955202539923, 'source_is_minimal': True, 'source_label': '403.2.l.c.25.8', 'source_level': 403, 'target_conrey_index': 129, 'target_dim': 68, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007955202539923, 'target_is_minimal': True, 'target_label': '403.2.l.c.129.8', 'target_level': 403, 'twist_class_label': '403.2.l.c.25.8', 'twist_class_level': 403, 'twisting_char_label': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 41225846
{'conductor': 403, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 68, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007955202539923, 'source_is_minimal': True, 'source_label': '403.2.l.c.25.8', 'source_level': 403, 'target_conrey_index': 129, 'target_dim': 68, 'target_embedding_index': 27, 'target_hecke_orbit_code': 9007955202539923, 'target_is_minimal': True, 'target_label': '403.2.l.c.129.27', 'target_level': 403, 'twist_class_label': '403.2.l.c.25.8', 'twist_class_level': 403, 'twisting_char_label': '403.129', 'twisting_conrey_index': 129, 'weight': 2}
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hecke_orbit_code 9007955202539923 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 12, 'hecke_orbit': 3, 'label': '403.2.l.c', 'level': 403, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 121845000
{'hecke_orbit_code': 9007955202539923, 'n': 1, 'trace_an': 68}
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id: 121845001
{'hecke_orbit_code': 9007955202539923, 'n': 2, 'trace_an': 0}
-
id: 121845002
{'hecke_orbit_code': 9007955202539923, 'n': 3, 'trace_an': -6}
-
id: 121845003
{'hecke_orbit_code': 9007955202539923, 'n': 4, 'trace_an': -76}
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id: 121845004
{'hecke_orbit_code': 9007955202539923, 'n': 5, 'trace_an': 0}
-
id: 121845005
{'hecke_orbit_code': 9007955202539923, 'n': 6, 'trace_an': 0}
-
id: 121845006
{'hecke_orbit_code': 9007955202539923, 'n': 7, 'trace_an': 0}
-
id: 121845007
{'hecke_orbit_code': 9007955202539923, 'n': 8, 'trace_an': 0}
-
id: 121845008
{'hecke_orbit_code': 9007955202539923, 'n': 9, 'trace_an': -40}
-
id: 121845009
{'hecke_orbit_code': 9007955202539923, 'n': 10, 'trace_an': 8}
-
id: 121845010
{'hecke_orbit_code': 9007955202539923, 'n': 11, 'trace_an': 0}
-
id: 121845011
{'hecke_orbit_code': 9007955202539923, 'n': 12, 'trace_an': -10}
-
id: 121845012
{'hecke_orbit_code': 9007955202539923, 'n': 13, 'trace_an': -3}
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id: 121845013
{'hecke_orbit_code': 9007955202539923, 'n': 14, 'trace_an': 10}
-
id: 121845014
{'hecke_orbit_code': 9007955202539923, 'n': 15, 'trace_an': 0}
-
id: 121845015
{'hecke_orbit_code': 9007955202539923, 'n': 16, 'trace_an': 84}
-
id: 121845016
{'hecke_orbit_code': 9007955202539923, 'n': 17, 'trace_an': 6}
-
id: 121845017
{'hecke_orbit_code': 9007955202539923, 'n': 18, 'trace_an': 0}
-
id: 121845018
{'hecke_orbit_code': 9007955202539923, 'n': 19, 'trace_an': 0}
-
id: 121845019
{'hecke_orbit_code': 9007955202539923, 'n': 20, 'trace_an': 0}
-
id: 121845020
{'hecke_orbit_code': 9007955202539923, 'n': 21, 'trace_an': 0}
-
id: 121845021
{'hecke_orbit_code': 9007955202539923, 'n': 22, 'trace_an': 4}
-
id: 121845022
{'hecke_orbit_code': 9007955202539923, 'n': 23, 'trace_an': -44}
-
id: 121845023
{'hecke_orbit_code': 9007955202539923, 'n': 24, 'trace_an': 0}
-
id: 121845024
{'hecke_orbit_code': 9007955202539923, 'n': 25, 'trace_an': 30}
-
id: 121845025
{'hecke_orbit_code': 9007955202539923, 'n': 26, 'trace_an': -3}
-
id: 121845026
{'hecke_orbit_code': 9007955202539923, 'n': 27, 'trace_an': -12}
-
id: 121845027
{'hecke_orbit_code': 9007955202539923, 'n': 28, 'trace_an': 0}
-
id: 121845028
{'hecke_orbit_code': 9007955202539923, 'n': 29, 'trace_an': 48}
-
id: 121845029
{'hecke_orbit_code': 9007955202539923, 'n': 30, 'trace_an': -4}
-
id: 121845030
{'hecke_orbit_code': 9007955202539923, 'n': 31, 'trace_an': 0}
-
id: 121845031
{'hecke_orbit_code': 9007955202539923, 'n': 32, 'trace_an': 0}
-
id: 121845032
{'hecke_orbit_code': 9007955202539923, 'n': 33, 'trace_an': 0}
-
id: 121845033
{'hecke_orbit_code': 9007955202539923, 'n': 34, 'trace_an': 0}
-
id: 121845034
{'hecke_orbit_code': 9007955202539923, 'n': 35, 'trace_an': -48}
-
id: 121845035
{'hecke_orbit_code': 9007955202539923, 'n': 36, 'trace_an': 40}
-
id: 121845036
{'hecke_orbit_code': 9007955202539923, 'n': 37, 'trace_an': 0}
-
id: 121845037
{'hecke_orbit_code': 9007955202539923, 'n': 38, 'trace_an': 60}
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