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{'Nk2': 20900, 'analytic_conductor': 41.721835056119, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [11, 1], [19, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 22, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [-484, 0, 46943, 0, -218245, 0, 422895, 0, -448488, 0, 290067, 0, -120279, 0, 32546, 0, -5698, 0, 620, 0, -38, 0, 1]], [7, [-11664, 0, 2801304, 0, -44442261, 0, 112797071, 0, -104680897, 0, 40550934, 0, -8370354, 0, 1025919, 0, -77495, 0, 3554, 0, -91, 0, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972563049, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5225.2.a.bb', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '1045.2.b.d', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 22, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5225.2.a', 'trace_display': [0, 0, 0, 0], 'traces': [22, 0, 0, 32, 0, -12, 0, 0, 34, 0, -22, 0, 0, -8, 0, 40, 0, 0, -22, 0, -22, 0, 0, -22, 0, 16, 0, 0, -10, 0, 76, 0, 0, 56, 0, 104, 0, 0, -8, 0, 6, 0, 0, -32, 0, 88, 0, 0, 28, 0, 8, 0, 0, 38, 0, 44, 0, 0, 40, 0, -6, 0, 0, 140, 0, 12, 0, 0, 74, 0, 62, 0, 0, -26, 0, -32, 0, 0, 102, 0, 94, 0, 0, -38, 0, 28, 0, 0, 54, 0, 88, 0, 0, 36, 0, 2, 0, 0, -34, 0, -64, 0, 0, 62, 0, 8, 0, 0, 36, 0, 116, 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [-0.07364071898871034, 0.0], [-0.40241022552493927, 0.0], [-0.9945770445068258, 0.0], [0.0, 0.0], [0.02963377833606561, 0.0], [1.215750527580991, 0.0], [0.14688208763585955, 0.0], [-0.8380660103929675, 0.0], [0.0, 0.0], [-0.30151134457776363, 0.0], [0.40022797278191935, 0.0], [1.2908022650624307, 0.0], [-0.0895287429619681, 0.0], [0.0, 0.0], [0.9837605419667583, 0.0], [-0.0014610209742172908, 0.0], [0.06171578356533812, 0.0], [-0.22941573387056177, 0.0], [0.0, 0.0], [-0.48923044398593046, 0.0], [0.022203512197959303, 0.0], [-0.34583762411934194, 0.0], [-0.05910685401112014, 0.0], [0.0, 0.0], [-0.09505560687145326, 0.0], [0.7396565577719595, 0.0], [-1.209157566579116, 0.0], [0.6499123003940317, 0.0], [0.0, 0.0], [-0.6002850344528821, 0.0], [-0.21932692125901498, 0.0], [0.12133124816986554, 0.0], [0.00010759063499894732, 0.0], [0.0, 0.0], [0.8335212157182643, 0.0], [1.0089854273620997, 0.0], [0.016894339589550795, 0.0], [-0.5194320305918751, 0.0], [0.0, 0.0], [-1.4649606316629629, 0.0], [0.036027281646289905, 0.0], [1.3141412085630582, 0.0], [0.2998762619754313, 0.0], [0.0, 0.0], [0.025467731293495693, 0.0], [0.1302911791371233, 0.0], [-0.3958753015553797, 0.0], [0.47804934531345783, 0.0], [0.0, 0.0], [0.0005879297797314465, 0.0], [-1.2838023018285085, 0.0], [0.24509323207456954, 0.0], [-0.054468840719041664, 0.0], [0.0, 0.0], [0.17857197553549362, 0.0], [0.09231923720582222, 0.0], [-0.047860009080623184, 0.0], [0.33461427762369145, 0.0], [0.0, 0.0], [-0.47227836638550164, 0.0], [0.044205421535272994, 0.0], [-1.0188791942829465, 0.0], [-0.9676091497916642, 0.0], [0.0, 0.0], [-0.008934920351026544, 0.0], [0.7313605373359602, 0.0], [0.0014530979224995164, 0.0], [0.13916859631687356, 0.0], [0.0, 0.0], [0.10121556855006464, 0.0], [-0.12309688518317503, 0.0], [0.5533536449676825, 0.0], [-0.0743024123200762, 0.0], [0.0, 0.0], [0.22817162255634782, 0.0], [-0.36656257624207006, 0.0], [0.03825134819855147, 0.0], [-0.5559033990010162, 0.0], [0.0, 0.0], [0.540420648168953, 0.0], [0.10788075420581583, 0.0], [-1.6501862551846933, 0.0], [0.48657736906228893, 0.0], [0.0, 0.0], [-0.09677430345127636, 0.0], [-0.2615313553729944, 0.0], [-0.04428661573747693, 0.0], [0.5421346994634044, 0.0], [0.0, 0.0], [1.5692935347523882, 0.0], [0.34396216207587765, 0.0], [0.2415608360934302, 0.0], [-0.009594736109544616, 0.0], [0.0, 0.0], [0.08825939584753083, 0.0], [-1.6800109408130701, 0.0], [-0.0352038975009653, 0.0], [0.25268640963850564, 0.0], [0.0, 0.0]], 'angles': [-0.2558614671655344, -0.282242887754891, None, -0.14601103122341366, None, -0.13834511757488438, -0.25011626436534445, None, -0.2776599125666946, -0.19732522671166283, -0.298517120102265, -0.16583976845423, -0.3808187019409599, -0.1358976632329783, -0.23962440964482526, -0.2304469502163099, -0.22324642454097296, -0.28794106453248675, -0.1904181844677204, -0.24194207888658156, -0.2053834255852585, -0.2948277602766029, -0.40443870603851, -0.20631169376407646, -0.4087241591305475, -0.20482889532849752, -0.31077279992828677, -0.21106188549363908, -0.22140396385844222, -0.39710951809955436, -0.24385098542459877, -0.2523132914335922, -0.34396120099397925, -0.1596152136679912, -0.1251684045335663, -0.06511940173384326, -0.16932130820109564, -0.08705725402492605, -0.3529979123914232, -0.18517175051389295, -0.11076221418225504, -0.24960489735711838, -0.26208280601541434, -0.06924933092214927, -0.217405381003841, -0.30887457904577126, -0.24430337723915485, -0.2154847602839865, -0.21670371405019992, -0.08273799696320619, -0.23459726276668139, -0.14730931966424948, -0.2951047025384557, -0.4197553560771076, -0.34307877306274215, -0.12865079058242931, -0.16794590287308364, -0.2398430291344146, -0.07155159471644522, -0.25223033040392545, -0.3142282529688133, -0.22445381498769332, -0.07837857435375531, -0.12932658666057711, -0.3064673746123256, -0.3452603721010552, -0.3919232147445975, -0.03920728291537074, -0.21397260726555675, -0.3747328721870975, -0.1921770484144856, -0.18619954851293272, -0.13005589589889627, -0.2553776607111627, -0.29141921061272874, -0.22777975340636847, -0.28083206229199614, -0.27516442682334186, -0.17667908675521155, -0.21641555467387258, -0.20889652807513648, -0.10464421051139665, -0.25877177394750406, -0.07957959342655295, -0.34261672143459393, -0.2362371090086693, -0.146901608010468, -0.22589234267530647, -0.3405268530562112, -0.08925296274299428, -0.4070324008013254, -0.18562926401289706, -0.37723286517357363, -0.0794666683613073, -0.1901041118327346, -0.23317483217134974, -0.37990960123505707, -0.22372146822876057, -0.2085259288930907, -0.18376320978747526], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 11, 'dual_embedding_m': 11, 'embedding_index': 11, 'embedding_m': 11, 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972563049, 'label': '5225.2.a.bb.1.11', 'level': 5225, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [32, 37, 35, 30, 41, 31, 35, 45], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [32, 47, 43, 39, 36, 39, 37, 30], 'Nk2': 20900, 'analytic_conductor': 41.721835056119, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 589, 'dim': 286, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33559657, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 15, 15, 15, 15, 15, 15, 15, 15, 16, 20, 22, 30], 'label': '5225.2.a', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 612, 'mf_new_dim': 286, 'num_forms': 29, 'plus_dim': 128, 'prim_orbit_index': 1, 'relative_dim': 286, 'sturm_bound': 1200, 'trace_bound': 7, 'trace_display': [2, 2, 0, 0], 'traces': [286, 2, 2, 288, 0, -4, 0, -6, 300, 0, 4, -24, 16, -4, 0, 300, 16, -22, 0, 0, 32, 0, -10, -20, 0, -20, 14, 32, 8, 0, 14, 10, 2, 20, 0, 360, 38, -6, -36, 0, -4, 64, -20, 18, 0, 48, -32, 28, 322, 0, -32, 84, 36, 16, 0, 44, 0, 4, -2, 0, 28, 28, -24, 268, 0, 8, -14, 56, 42, 0, -2, -30, 48, -44, 0, 0, -12, 84, 16, 0, 334, 36, -48, 168, 0, 24, -28, 0, 30, 0, 24, -28, -14, -72, 0, -4, 50, 42, -18, 0, -104, 16, 20, -44, 0, -20, 28, 48, -88, 0, -38, 40, 74, 8, 0, -28, 4, -100, 72, 0, 286, -52, -8, 68, 0, -92, 76, 50, -12, 0, 28, 8, -4, -20, 0, -76, -26, 16, 40, 0, -176, -92, 0, 368, 0, -236, 62, 12, -84, 0, 44, -30, 56, 40, 0, -256, 38, 112, -76, 0, -48, -190, 72, -252, 0, -56, -100, 144, 318, 0, -8, -96, -68, -340, 0, 38, -74, -84, -6, 0, 22, -80, 52, 104, 0, -120, 4, 8, -104, 0, 26, 44, 28, -44, 0, 364, -16, 44, 96, 0, 30, -100, 44, -32, 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222, -176, -8, 0, 132, 232, -140, 48, 0, -560, 116, -128, 396, 0, 142, -190, 56, 328, 0, 232, 12, -304, 544, 0, -68, 200, -32, 480, 0, 260, -196, 12, -140, 0, -600, 92, 8, -564, 0, 232, -132, -104, -504, 0, 124, 68, 36, 412, 0, 40, 244, -56, 144, 0, 116, -188, -20, -76, 0, -592, 200, -60, -72, 0, 32, -416, 32, 0, 0, 144, 356, -4, -194, 0, -236, 40, 152, 236, 0, 40, -150, 0, -296, 0, -178, 32, -268, -556, 0, 360, 0, -188, 208, 0, 684, 240, -256, -132, 0, -352, 228, -6, -64, 0, 154, -328, 304, 92, 0, 480, -110, 80, 98, 0, 140, -44, -58, -388, 0, 168, 128, 88, 412, 0, 152, 164, 46, -208, 0, -424, 80, 160, -202, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48640990
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 22, 'source_embedding_index': 11, 'source_hecke_orbit_code': 121597189972563049, 'source_is_minimal': False, 'source_label': '5225.2.a.bb.1.11', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 22, 'target_embedding_index': 11, 'target_hecke_orbit_code': 121597189972563049, 'target_is_minimal': False, 'target_label': '5225.2.a.bb.1.11', 'target_level': 5225, 'twist_class_label': '1045.2.b.d.419.11', 'twist_class_level': 1045, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48640991
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 22, 'source_embedding_index': 11, 'source_hecke_orbit_code': 121597189972563049, 'source_is_minimal': False, 'source_label': '5225.2.a.bb.1.11', 'source_level': 5225, 'target_conrey_index': 419, 'target_dim': 22, 'target_embedding_index': 11, 'target_hecke_orbit_code': 13510867635143701, 'target_is_minimal': True, 'target_label': '1045.2.b.d.419.11', 'target_level': 1045, 'twist_class_label': '1045.2.b.d.419.11', 'twist_class_level': 1045, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48640992
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 22, 'source_embedding_index': 11, 'source_hecke_orbit_code': 121597189972563049, 'source_is_minimal': False, 'source_label': '5225.2.a.bb.1.11', 'source_level': 5225, 'target_conrey_index': 419, 'target_dim': 22, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13510867635143701, 'target_is_minimal': True, 'target_label': '1045.2.b.d.419.12', 'target_level': 1045, 'twist_class_label': '1045.2.b.d.419.11', 'twist_class_level': 1045, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48640993
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 22, 'source_embedding_index': 11, 'source_hecke_orbit_code': 121597189972563049, 'source_is_minimal': False, 'source_label': '5225.2.a.bb.1.11', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 22, 'target_embedding_index': 12, 'target_hecke_orbit_code': 121597189972563049, 'target_is_minimal': False, 'target_label': '5225.2.a.bb.1.12', 'target_level': 5225, 'twist_class_label': '1045.2.b.d.419.11', 'twist_class_level': 1045, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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hecke_orbit_code 121597189972563049 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '5225.2.a.bb', 'level': 5225, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67591333
{'hecke_orbit_code': 121597189972563049, 'n': 1, 'trace_an': 22}
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id: 67591334
{'hecke_orbit_code': 121597189972563049, 'n': 2, 'trace_an': 0}
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id: 67591335
{'hecke_orbit_code': 121597189972563049, 'n': 3, 'trace_an': 0}
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id: 67591336
{'hecke_orbit_code': 121597189972563049, 'n': 4, 'trace_an': 32}
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