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mf_newforms • Show schema
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{'Nk2': 2128, 'analytic_conductor': 4.248041387532116, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 133, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [532, 3, [267, 381, 477], [3, 1, 2]], 'cm_discs': [], 'conrey_index': 429, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 119, -683, -367, 1290, 362, -825, -133, 220, 20, -25, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504355575169556, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 133, 7, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '532.2.l.b', 'level': 532, '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, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2128, 'analytic_conductor': 4.248041387532116, 'char_conductor': 133, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [532, 3, [267, 381, 477], [3, 1, 2]], 'conrey_index': 429, 'cusp_dim': 148, 'dim': 28, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 755947799060, 'hecke_orbit_dims': [4, 24], 'label': '532.2.l', 'level': 532, '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, 7, 19], 'level_radical': 266, 'mf_dim': 172, 'mf_new_dim': 28, 'num_forms': 2, 'prim_orbit_index': 7, 'relative_dim': 14, 'sturm_bound': 160, 'trace_bound': 1, 'trace_display': [0, 4, -1, 4], 'traces': [28, 0, 4, 0, -1, 0, 4, 0, 32, 0, -3, 0, -4, 0, 7, 0, -6, 0, 3, 0, -13, 0, -8, 0, -17, 0, 28, 0, -4, 0, -7, 0, -8, 0, -1, 0, 8, 0, 7, 0, -18, 0, -12, 0, -19, 0, -10, 0, -10, 0, -16, 0, -2, 0, 12, 0, 4, 0, 38, 0, -10, 0, 25, 0, 2, 0, -5, 0, 60, 0, -13, 0, -4, 0, -12, 0, -14, 0, -12, 0, 52, 0, -26, 0, -19, 0, 28, 0, 68, 0, -9, 0, -21, 0, 52, 0, -23, 0, -42, 0, -10, 0, -7, 0, 30, 0, -21, 0, -64, 0, -29, 0, 28, 0, -11, 0, -13, 0, -34, 0, -59, 0, 20, 0, -66, 0, 18, 0, -36, 0, 33, 0, -37, 0, 5, 0, 20, 0, -75, 0, -58, 0, 51, 0, -46, 0, 99, 0, 26, 0, -15, 0, 30, 0, 12, 0, -36, 0, 40, 0, -44, 0, 30, 0, -38, 0, -26, 0, -12, 0, -31, 0, -33, 0, -43, 0, -20, 0, -32, 0, 34, 0, -72, 0, 48, 0, -27, 0, -76, 0, 25, 0, -62, 0, 24, 0, -28, 0, -20, 0, 23, 0, 69, 0, 60, 0, -84, 0, -56, 0, 27, 0, 35, 0, 114, 0, 31, 0, -66, 0, -12, 0, 77, 0, 16, 0, -37, 0, 13, 0, -86, 0, 26, 0, 74, 0, 35, 0, 16, 0, -39, 0, 38, 0, 40, 0, 92, 0, 172, 0, 75, 0, 50, 0, -15, 0, 8, 0, 54, 0, -70, 0, 26, 0, 64, 0, 78, 0, 174, 0, 0, 0, 112, 0, 120, 0, -7, 0, -43, 0, 5, 0, -32, 0, -29, 0, -30, 0, -6, 0, -110, 0, 252, 0, -32, 0, -67, 0, 57, 0, -81, 0, 13, 0, -28, 0, -26, 0, -13, 0, -34, 0, 6, 0, -28, 0, -10, 0, -2, 0, 36, 0, 97, 0, 30, 0, -106, 0, 125, 0, 27, 0, 8, 0, 130, 0, -18, 0, 112, 0, -73, 0, -23, 0, -53, 0, 106, 0, -116, 0, 75, 0, 13, 0, 80, 0, 14, 0, -52, 0, 97, 0, -208, 0, -2, 0, -76, 0, -160, 0, 19, 0, 37, 0, -256, 0, -59, 0, -102, 0, 17, 0, -35, 0, -5, 0, -121, 0, 59, 0, 12, 0, 42, 0, -83, 0, -3, 0, -155, 0, 56, 0, 91, 0, -246, 0, -76, 0, 3, 0, -60, 0, 52, 0, 5, 0, -83, 0, 4, 0, 49, 0, -196, 0, 37, 0, -63, 0, 42, 0, -81, 0, -97, 0, -19, 0, 42, 0, -70, 0, -135, 0, -150, 0, -90, 0, 134, 0, -110, 0, -4, 0, -9, 0, 45, 0, 2, 0, 90, 0, -45, 0, 102, 0, 65, 0, -18, 0, 47, 0, -120, 0, -74, 0, -122, 0, 89, 0, 65, 0, 192, 0, -41, 0, 26, 0, -32, 0, 136, 0, -11, 0, 58, 0, -8, 0, 69, 0, 88, 0, 164, 0, -7, 0, 4, 0, 67, 0, 256, 0, 162, 0, 58, 0, 182, 0, 100, 0, 36, 0, -124, 0, -118, 0, -55, 0, -56, 0, 200, 0, 250, 0, -118, 0, -64, 0, -101, 0, -7, 0, 18, 0, 2, 0, -185, 0, 47, 0, 62, 0, -81, 0, -206, 0, 204, 0, -164, 0, 274, 0, -63, 0, 7, 0, 130, 0, -177, 0, 62, 0, -56, 0, 0, 0, 49, 0, -18, 0, -164, 0, -17, 0, -192, 0, -79, 0, 60, 0, -30, 0, 108, 0, -214, 0, 275, 0, 23, 0, 30, 0, 162, 0, -86, 0, 30, 0, 20, 0, 136, 0, -56, 0, 112, 0, -448, 0, -38, 0, -2, 0, 240, 0, 74, 0, -20, 0, 244, 0, -171, 0, -46, 0, -123, 0, -88, 0, -23, 0, -23, 0, -296, 0, -111, 0, -34, 0, 68, 0, -19, 0, -138, 0, -107, 0, -10, 0, -86, 0, 33, 0, -35, 0, 41, 0, -129, 0, 64, 0, 85, 0, -179, 0, -174, 0, 97, 0, -83, 0, 174, 0, 104, 0, -23, 0, 100, 0, 82, 0, 122, 0, 150, 0, 22, 0, 41, 0, -124, 0, -117, 0, -9, 0, -10, 0, -57, 0, -231, 0, -144, 0, -330, 0, 16, 0, -150, 0, -54, 0, -144, 0, -134, 0, 101, 0, -174, 0, -93, 0, 224, 0, -64, 0, -50, 0, 431, 0, -222, 0, -94, 0, -212, 0, -13, 0, 0, 0, 456, 0, 8, 0, 106, 0, -128, 0, 243, 0, 94, 0, 2, 0, 48, 0, -29, 0, -16, 0, 191, 0, 94, 0, -150, 0, -120, 0, 122, 0, 207, 0, 4, 0, 382, 0, 206, 0, 164, 0, 7, 0, -8, 0, 173, 0, -123, 0, 234, 0, 160, 0, -34, 0, 30, 0, -13, 0, 59, 0, 358, 0, -11, 0, -148, 0, 149, 0, -52, 0, -123, 0, -286, 0, 156, 0, -164, 0, 830, 0, 15, 0, -70, 0, 189, 0, -42, 0, -78, 0, -68, 0, 50, 0, 38, 0, 181, 0, 36, 0, 45, 0, 0, 0, -52, 0, 70, 0, 257, 0, -42, 0, -208, 0, 406, 0, 144, 0, 63, 0, 238, 0, -16, 0, 62, 0, -22, 0, -150, 0, -27, 0, 382, 0, -326, 0, 10, 0, -4, 0, 104, 0, 104, 0, -118, 0, 250, 0, -247, 0, -62, 0, 52, 0, -194, 0, -123, 0, 45, 0, -324, 0, -115, 0, -128, 0, -63, 0, 67, 0, -143, 0, -53, 0, 71, 0, 222, 0, 86, 0, 53, 0, 71, 0, -169, 0, 52, 0, 119, 0, -267, 0, -220, 0, -129, 0, -29, 0, 353, 0, 34, 0, -141, 0, 8, 0, -72, 0, -110, 0, 259, 0, -174, 0, 21, 0, -285, 0, -136, 0, -123, 0, 108, 0, -223, 0, -205, 0, -482, 0, -192, 0, 4, 0, 4, 0, -346, 0, 1, 0, 131, 0, -25, 0, 230, 0, -260, 0, 356, 0, 99, 0, -51, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 36293008
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 429, 'source_dim': 24, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504355575169556, 'source_is_minimal': True, 'source_label': '532.2.l.b.429.9', 'source_level': 532, 'target_conrey_index': 429, 'target_dim': 24, 'target_embedding_index': 9, 'target_hecke_orbit_code': 4504355575169556, 'target_is_minimal': True, 'target_label': '532.2.l.b.429.9', 'target_level': 532, 'twist_class_label': '532.2.k.b.121.4', 'twist_class_level': 532, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 36293009
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 429, 'source_dim': 24, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504355575169556, 'source_is_minimal': True, 'source_label': '532.2.l.b.429.9', 'source_level': 532, 'target_conrey_index': 277, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504286855692820, 'target_is_minimal': True, 'target_label': '532.2.k.b.277.4', 'target_level': 532, 'twist_class_label': '532.2.k.b.121.4', 'twist_class_level': 532, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36293010
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 429, 'source_dim': 24, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504355575169556, 'source_is_minimal': True, 'source_label': '532.2.l.b.429.9', 'source_level': 532, 'target_conrey_index': 121, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504286855692820, 'target_is_minimal': True, 'target_label': '532.2.k.b.121.4', 'target_level': 532, 'twist_class_label': '532.2.k.b.121.4', 'twist_class_level': 532, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 36293011
{'conductor': 133, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 429, 'source_dim': 24, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504355575169556, 'source_is_minimal': True, 'source_label': '532.2.l.b.429.9', 'source_level': 532, 'target_conrey_index': 501, 'target_dim': 24, 'target_embedding_index': 9, 'target_hecke_orbit_code': 4504355575169556, 'target_is_minimal': True, 'target_label': '532.2.l.b.501.9', 'target_level': 532, 'twist_class_label': '532.2.k.b.121.4', 'twist_class_level': 532, 'twisting_char_label': '133.102', 'twisting_conrey_index': 102, 'weight': 2}
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hecke_orbit_code 4504355575169556 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': 2, 'label': '532.2.l.b', 'level': 532, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 23823697
{'hecke_orbit_code': 4504355575169556, 'n': 1, 'trace_an': 24}
-
id: 23823698
{'hecke_orbit_code': 4504355575169556, 'n': 2, 'trace_an': 0}
-
id: 23823699
{'hecke_orbit_code': 4504355575169556, 'n': 3, 'trace_an': 2}
-
id: 23823700
{'hecke_orbit_code': 4504355575169556, 'n': 4, 'trace_an': 0}
-
id: 23823701
{'hecke_orbit_code': 4504355575169556, 'n': 5, 'trace_an': -6}
-
id: 23823702
{'hecke_orbit_code': 4504355575169556, 'n': 6, 'trace_an': 0}
-
id: 23823703
{'hecke_orbit_code': 4504355575169556, 'n': 7, 'trace_an': -6}
-
id: 23823704
{'hecke_orbit_code': 4504355575169556, 'n': 8, 'trace_an': 0}
-
id: 23823705
{'hecke_orbit_code': 4504355575169556, 'n': 9, 'trace_an': 30}
-
id: 23823706
{'hecke_orbit_code': 4504355575169556, 'n': 10, 'trace_an': 0}
-
id: 23823707
{'hecke_orbit_code': 4504355575169556, 'n': 11, 'trace_an': 1}
-
id: 23823708
{'hecke_orbit_code': 4504355575169556, 'n': 12, 'trace_an': 0}
-
id: 23823709
{'hecke_orbit_code': 4504355575169556, 'n': 13, 'trace_an': -7}
-
id: 23823710
{'hecke_orbit_code': 4504355575169556, 'n': 14, 'trace_an': 0}
-
id: 23823711
{'hecke_orbit_code': 4504355575169556, 'n': 15, 'trace_an': -2}
-
id: 23823712
{'hecke_orbit_code': 4504355575169556, 'n': 16, 'trace_an': 0}
-
id: 23823713
{'hecke_orbit_code': 4504355575169556, 'n': 17, 'trace_an': -6}
-
id: 23823714
{'hecke_orbit_code': 4504355575169556, 'n': 18, 'trace_an': 0}
-
id: 23823715
{'hecke_orbit_code': 4504355575169556, 'n': 19, 'trace_an': 17}
-
id: 23823716
{'hecke_orbit_code': 4504355575169556, 'n': 20, 'trace_an': 0}
-
id: 23823717
{'hecke_orbit_code': 4504355575169556, 'n': 21, 'trace_an': -18}
-
id: 23823718
{'hecke_orbit_code': 4504355575169556, 'n': 22, 'trace_an': 0}
-
id: 23823719
{'hecke_orbit_code': 4504355575169556, 'n': 23, 'trace_an': -16}
-
id: 23823720
{'hecke_orbit_code': 4504355575169556, 'n': 24, 'trace_an': 0}
-
id: 23823721
{'hecke_orbit_code': 4504355575169556, 'n': 25, 'trace_an': -8}
-
id: 23823722
{'hecke_orbit_code': 4504355575169556, 'n': 26, 'trace_an': 0}
-
id: 23823723
{'hecke_orbit_code': 4504355575169556, 'n': 27, 'trace_an': 20}
-
id: 23823724
{'hecke_orbit_code': 4504355575169556, 'n': 28, 'trace_an': 0}
-
id: 23823725
{'hecke_orbit_code': 4504355575169556, 'n': 29, 'trace_an': -22}
-
id: 23823726
{'hecke_orbit_code': 4504355575169556, 'n': 30, 'trace_an': 0}
-
id: 23823727
{'hecke_orbit_code': 4504355575169556, 'n': 31, 'trace_an': -7}
-
id: 23823728
{'hecke_orbit_code': 4504355575169556, 'n': 32, 'trace_an': 0}
-
id: 23823729
{'hecke_orbit_code': 4504355575169556, 'n': 33, 'trace_an': 7}
-
id: 23823730
{'hecke_orbit_code': 4504355575169556, 'n': 34, 'trace_an': 0}
-
id: 23823731
{'hecke_orbit_code': 4504355575169556, 'n': 35, 'trace_an': -21}
-
id: 23823732
{'hecke_orbit_code': 4504355575169556, 'n': 36, 'trace_an': 0}
-
id: 23823733
{'hecke_orbit_code': 4504355575169556, 'n': 37, 'trace_an': 9}
-
id: 23823734
{'hecke_orbit_code': 4504355575169556, 'n': 38, 'trace_an': 0}
-
id: 23823735
{'hecke_orbit_code': 4504355575169556, 'n': 39, 'trace_an': 12}
-
id: 23823736
{'hecke_orbit_code': 4504355575169556, 'n': 40, 'trace_an': 0}
-
id: 23823737
{'hecke_orbit_code': 4504355575169556, 'n': 41, 'trace_an': -11}
-
id: 23823738
{'hecke_orbit_code': 4504355575169556, 'n': 42, 'trace_an': 0}
-
id: 23823739
{'hecke_orbit_code': 4504355575169556, 'n': 43, 'trace_an': -9}
-
id: 23823740
{'hecke_orbit_code': 4504355575169556, 'n': 44, 'trace_an': 0}
-
id: 23823741
{'hecke_orbit_code': 4504355575169556, 'n': 45, 'trace_an': -28}
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id: 23823742
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id: 23823945
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id: 23823946
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id: 23823948
{'hecke_orbit_code': 4504355575169556, 'n': 961, 'trace_an': 63}
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id: 23823950
{'hecke_orbit_code': 4504355575169556, 'n': 971, 'trace_an': -150}
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id: 23823951
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id: 23823952
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id: 23823953
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id: 23823954
{'hecke_orbit_code': 4504355575169556, 'n': 997, 'trace_an': 97}