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mf_newforms • Show schema
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{'Nk2': 1215, 'analytic_conductor': 3.6784835688640083, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': -1, 'char_values': [135, 6, [56, 82], [5, 6]], 'cm_discs': [], 'conrey_index': 71, 'conrey_indexes': [71, 116], 'dim': 16, 'field_disc': 1164644417277921591705600000000, 'field_disc_factorization': [[2, 20], [3, 8], [5, 8], [20817649, 2]], 'field_poly': [81, 0, 36000, 0, 117844, 0, 109032, 0, 43602, 0, 8704, 0, 912, 0, 48, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 549806145671, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 729, 'hecke_ring_index_factorization': [[3, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '135.3.i.a', 'level': 135, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.3.i.a', 'prim_orbit_index': 4, 'qexp_display': 'q+(\\beta _{1}-\\beta _{4})q^{2}+(\\beta _{1}-\\beta _{3}-\\beta _{4}+2\\beta _{7}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '135.3.i', 'trace_display': [0, 0, 0, 2], 'trace_hash': 1809347885213083, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.067', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.261', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.159', 'prec': 17}, {'__RealLiteral__': 0, 'data': '810.363', 'prec': 24}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, -1, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0], [-2, 2, 0, 0, 0, -1, -1, 4, 1, 1, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, -1, 0, 1, 0, 1, 0, 0, 0, 1, 1, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -1, -1, 0, 0, 1, 0, -1, -2, -1, 1, 0, -2, -1, -1], [5, -1, 2, 0, 0, 0, -2, -3, -1, 0, 0, 1, -1, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 3, -1, 0, 3, -1, 0, 4, 6, 3, 0, 0, 0, 0, 0, 0], [5, -1, -2, 0, -1, -3, 1, -8, -1, -1, 2, -1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -3, 0, -3, 3, -2, -2, 0, -1, 1, 0, 0, -4, 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1], 'hecke_orbit_code': 549806145671, 'hecke_ring_character_values': [[56, [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]], [82, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 19536, 4752, 4752, 351648, 351648, 4752, 351648, 351648, 175824, 351648, 351648, 351648, 351648, 4752], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -10, 0, 0, 0, 1, 1, -4, -1, -1, 0, 0, 0, 0, 0, 1], [60, 3, 1, -12, -18, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0], [-43, 115, -3, -4, -3, -18, -12, 84, 18, 18, -2, 1, 1, -1, -1, -20], [-673, -71, -27, 135, 275, -2, -2, 0, 59, -59, 0, 2, -2, 4, -4, -2], [717, -1400, 75, 102, 75, 273, 123, -1380, -309, -309, 54, -27, -27, 33, 33, 327], [7989, 1236, 534, -1550, -3968, 48, 48, 0, -948, 948, 0, -54, 42, -102, 102, 48], [-10894, 17633, -1362, -1872, -1332, -3962, -1238, 20708, 5072, 5072, -1080, 540, 540, -696, -696, -4982], [-98556, -19206, -9200, 18423, 55857, -792, -792, 0, 14298, -14298, 0, 978, -606, 1902, -1902, -792], [158666, -227570, 21960, 30308, 20790, 56583, 12663, -298296, -79833, -79833, 19036, -9518, -9518, 12398, 12398, 73279], [1252244, 283087, 147087, -226638, -777490, 11272, 11272, 0, -209575, 209575, 0, -15322, 7222, -31478, 31478, 11272], [-2261853, 2992207, -334653, -461652, -305631, -802344, -133038, 4211664, 1216578, 1216578, -312042, 156021, 156021, -202821, -202821, -1056342], [-16282467, -4061289, -2249103, 2872453, 10769599, -149610, -149610, 0, 3024705, -3024705, 0, 225432, -73788, 490674, -490674, -149610], [31876901, -39913168, 4947591, 6801066, 4360509, 11335423, 1440241, -58872688, -18106369, -18106369, 4881114, -2440557, -2440557, 3156663, 3156663, 15042373]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2223, 0, 63115, 0, -21801, 0, -27813, 0, -4607, 0, -99, 0, 21, 0, 1, 0], [28755, -2376, 25605, 0, 39821, 0, 23051, 0, 5777, 0, 715, 0, 43, 0, 1, 0], [-243, 2376, -20853, 0, -39821, 0, -23051, 0, -5777, 0, -715, 0, -43, 0, -1, 0], [-20007, -678645, -568035, 1029171, 196209, 2822743, 250317, 1622335, 41463, 413677, 891, 52613, -189, 3245, -9, 77], [1074951, 7611633, 743859, 13043725, -196209, 9487793, -250317, 3201461, -41463, 556623, -891, 51883, 189, 2467, 9, 47], [2376, 87147, 0, 313711, 0, 304045, 0, 125029, 0, 25397, 0, 2693, 0, 143, 0, 3], [-678645, 8323965, 1029171, 29303677, 2822743, 27181221, 1622335, 10811157, 413677, 2150779, 52613, 225075, 3245, 11847, 77, 247], [678645, 8323965, -1029171, 29303677, -2822743, 27181221, -1622335, 10811157, -413677, 2150779, -52613, 225075, -3245, 11847, -77, 247], [-348489, -12095613, -5792913, -30933391, -7225755, -27829221, -3104187, -11314095, -610971, -2306275, -60735, -246081, -2973, -13143, -57, -277], [923103, 23155785, -8736429, 75908729, -6881221, 72179881, -897817, 29315449, 241217, 5909535, 68077, 623639, 5665, 33011, 157, 691], [-1947429, -22979961, -12892101, -75908729, -19075045, -72179881, -9813157, -29315449, -2257603, -5909535, -258107, -623639, -14375, -33011, -311, -691], [3720141, 35439723, 8685621, 99376247, 5559869, 86892751, 2047085, 33938347, 474899, 6709917, 62323, 700721, 4087, 36869, 103, 769], [-3720141, 35439723, -8685621, 99376247, -5559869, 86892751, -2047085, 33938347, -474899, 6709917, -62323, 700721, -4087, 36869, -103, 769], [-14256, 527391, -2376, 1861413, 0, 1784449, 0, 727123, 0, 146605, 0, 15443, 0, 815, 0, 17]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '135.3.i.a', 'level': 135, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 1215, 'analytic_conductor': 3.6784835688640083, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': -1, 'char_values': [135, 6, [56, 82], [5, 6]], 'conrey_index': 71, 'cusp_dim': 60, 'dim': 16, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 549806145671, 'hecke_orbit_dims': [16], 'label': '135.3.i', 'level': 135, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 84, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 8, 'sturm_bound': 54, 'trace_bound': 0, 'trace_display': [0, 0, 0, 2], 'traces': [16, 0, 0, 16, 0, 0, 2, 0, 0, 0, 18, 0, -10, 54, 0, -32, 0, 0, -52, 0, 0, -24, 54, 0, 40, 0, 0, 32, 54, 0, 32, -216, 0, 54, 0, 0, 44, -252, 0, -30, -144, 0, -124, 0, 0, -108, 216, 0, -54, 0, 0, 62, 0, 0, 0, 18, 0, 90, 486, 0, 62, 0, 0, 256, 90, 0, 14, 288, 0, -60, 0, 0, -268, -540, 0, -106, -702, 0, -40, 0, 0, -204, -522, 0, 30, -54, 0, 144, 0, 0, 136, 1332, 0, -150, -180, 0, -142, 0, 0, 160, 72, 0, 182, 864, 0, -132, 0, 0, 140, 630, 0, 230, 216, 0, 0, 0, 0, 180, -900, 0, 262, -828, 0, 260, 0, 0, 320, 18, 0, 0, 648, 0, -38, 0, 0, -36, 522, 0, -130, -810, 0, -294, 0, 0, -240, -1314, 0, -454, 450, 0, 272, 0, 0, -768, 360, 0, -376, -324, 0, 120, 0, 0, 44, -1656, 0, -126, -972, 0, -24, 0, 0, -304, -36, 0, -10, 774, 0, -18, 0, 0, -100, 1494, 0, 798, -270, 0, 498, 0, 0, -300, 684, 0, -628, 1674, 0, -486, 0, 0, -88, 270, 0, 156, 1134, 0, -180, 0, 0, 1052, -954, 0, -484, -2268, 0, -852, 0, 0, -212, 828, 0, 120, -576, 0, 512, 0, 0, -24, 1476, 0, 458, -900, 0, 552, 0, 0, 780, -666, 0, 1158, 108, 0, 248, 0, 0, 620, 0, 0, 376, 882, 0, 0, 0, 0, -708, -522, 0, 328, -774, 0, -104, 0, 0, 1896, -2034, 0, 0, 1800, 0, -556, 0, 0, 1616, 288, 0, -1206, 90, 0, -850, 0, 0, -720, 1134, 0, 242, 1296, 0, 996, 0, 0, -956, 540, 0, -1510, 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0, -4592, -3366, 0, -730, 270, 0, -1000, 0, 0, -1800, -594, 0, -1588, -5004, 0, -4986, 0, 0, 380, 630, 0, 3684, 3762, 0, -840, 0, 0, 12180, 5706, 0, -1660, 4716, 0, 408, 0, 0, 3308, 5706, 0, -330, -3042, 0, 3472, 0, 0, 888, 1980, 0, 2474, 180, 0, 1064, 0, 0, 320, 4986, 0, 5028, -126, 0, 264, 0, 0, 1500, -2880, 0, -694, -1188, 0, 1800, 0, 0, -1052, -2304, 0, 4184, 6102, 0, 1236, 0, 0, -1668, -3078, 0, 2340, -1908, 0, 2076, 0, 0, 2756, -972, 0, -768, 990, 0, -3350, 0, 0, -1680, 5274, 0, -5464, -8460, 0, 3036, 0, 0, 668, -180, 0, -2122, 4266, 0, 150, 0, 0, -3708, -1404, 0, -1166, -396, 0, -1276, 0, 0, -1348, -3348, 0, -270, -3312, 0, -3262, 0, 0, -7872, -1782, 0, -814, 1350, 0, -1320, 0, 0, -1800, -7758, 0, -2762, 540, 0, -2300, 0, 0, -6288, 0, 0, 782, -1404, 0, -1740, 0, 0, 8252, -4752, 0, -6612, -1026, 0, 502, 0, 0, 2180, -3870, 0, -480, 486, 0, 4566, 0, 0, 5184, -2412, 0, 900, 1980, 0, 3278, 0, 0, 4620, 1908, 0, 3330, 522, 0, 1166, 0, 0, -2872, -900, 0, -642, 3636, 0, 110, 0, 0, -9732, 2556, 0, 2334, -3492, 0, 690, 0, 0, -9208, 2862, 0, 2160, 1494, 0, -2184, 0, 0, 8460, 7290, 0, 1492, -1260, 0, -1470, 0, 0, -1920, 4068, 0, -4308, 4860, 0, 4488, 0, 0, -352, -2430, 0, 2222, 576, 0, -1080, 0, 0, -6128, 1368, 0, 2174, 36, 0, 360, 0, 0, 6492, -2142, 0, -1020, -3132, 0, -5912, 0, 0, -5800, 234, 0, -336, -900, 0, 1196, 0, 0, -300], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 115469
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.3.i.a', 'target_level': 45, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 115470
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.3.i.a', 'target_level': 45, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 115471
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.3.i.a', 'target_level': 135, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 115472
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.3.i.a', 'target_level': 135, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 115473
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 9, 'target_dim': 32, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.3.i.b', 'target_level': 225, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 115474
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 9, 'target_dim': 32, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.3.i.b', 'target_level': 225, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 115475
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.3.j.b', 'target_level': 225, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 115476
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.3.j.b', 'target_level': 225, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 115477
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 3, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '405.3.c.a', 'target_level': 405, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 115478
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 3, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '405.3.c.a', 'target_level': 405, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 115479
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 9, 'target_dim': 32, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.3.i.c', 'target_level': 675, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 115480
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 9, 'target_dim': 32, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.3.i.c', 'target_level': 675, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 115481
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '675.3.j.b', 'target_level': 675, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 115482
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '675.3.j.b', 'target_level': 675, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 115483
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 45, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '720.3.bs.c', 'target_level': 720, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 115484
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 45, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '720.3.bs.c', 'target_level': 720, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 115485
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 45, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2160.3.bs.c', 'target_level': 2160, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 115486
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '135.3.i.a', 'source_level': 135, 'target_char_orbit': 45, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2160.3.bs.c', 'target_level': 2160, 'twist_class_label': '45.3.i.a', 'twist_class_level': 45, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 369900
{'charpoly_factorization': [[[81, -2754, 28818, 81396, 47212, -57294, -30540, 28944, 20535, -2718, -3392, 216, 408, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 2}
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id: 369901
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 549806145671, 'p': 3}
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id: 369902
{'charpoly_factorization': [[[25, 0, -5, 0, 1], 4]], 'hecke_orbit_code': 549806145671, 'p': 5}
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id: 369903
{'charpoly_factorization': [[[4654875290256, -3519875163168, 2208900206844, -650376395496, 190315565685, -31942043172, 7569793143, -987847704, 200672478, -17809812, 3207711, -203070, 36712, -1250, 225, -2, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 7}
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id: 369904
{'charpoly_factorization': [[[112356358416, -3025983230784, 28776765787056, -43400664340416, 20394304373488, 4394517541920, -179161887768, -76736824200, 2755104744, 690990120, -20380208, -4014360, 172473, 10098, -453, -18, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 11}
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id: 369905
{'charpoly_factorization': [[[69380636886016, -40226973069824, 33810390837888, -5084773283136, 4384225326864, -404783751168, 465027981104, 17694235712, 7355206152, 406373288, 91732304, 4858824, 436632, 10044, 738, 10, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 13}
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id: 369906
{'charpoly_factorization': [[[170306317573059600, 0, 56505623621999040, 0, 2765049320296144, 0, 48085102776744, 0, 377358885036, 0, 1470948136, 0, 2923533, 0, 2790, 0, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 17}
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id: 369907
{'charpoly_factorization': [[[-3133657244, -762910480, 24938056, 14446696, 468416, -37172, -1415, 26, 1], 2]], 'hecke_orbit_code': 549806145671, 'p': 19}
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id: 369908
{'charpoly_factorization': [[[6417393581572310016, 6885004118739404544, 2378399102454102048, -89938477838053656, -37366594729552503, 1099719738018072, 444536689406787, -24407251059312, -704797172946, 63585493128, 1022285799, -123437034, 621540, 94122, -771, -54, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 23}
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id: 369909
{'charpoly_factorization': [[[214460946841312656, -836605385485644528, 1370762516691551196, -1103605223961498804, 433528930184553949, -61626980413978578, 3930627570569745, -78663856835430, -3255167748690, 147981100590, 3069668929, -250371306, 1773246, 123930, -1323, -54, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 29}
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id: 369910
{'charpoly_factorization': [[[396718580736, 8661689012736, 180714088679040, 179884292450112, 139788099234576, 45893370658464, 12397636218384, -132447713760, 166824742320, 3310627248, 1012272264, -12627960, 1756276, -21008, 2112, -32, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 31}
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id: 369911
{'charpoly_factorization': [[[-143779124336, 50072350640, -2936203100, -143736616, 7617736, 103520, -5054, -22, 1], 2]], 'hecke_orbit_code': 549806145671, 'p': 37}
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id: 369912
{'charpoly_factorization': [[[447887773940352911361, 140707484762174454600, 6514621677508916520, -2582430716879928000, -130720206333382946, 44389807049761200, 5084282658122184, 38549795288976, -11480896440093, -147285674280, 21189926968, 224913312, -12931410, -174528, 5700, 144, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 41}
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id: 369913
{'charpoly_factorization': [[[369528963515353834093456, 60695308857612197995648, 7284319079443240875072, 532615619656302029280, 33114065233523173848, 1560496600925513784, 70984646540096360, 2672502858826040, 96999865973352, 2856866648756, 80159338382, 1849201302, 41809503, 745320, 12141, 124, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 43}
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id: 369914
{'charpoly_factorization': [[[28740412762560576, -185952576014007264, 476066516533912008, -485412416074114164, 255263001913381657, -73458316913040702, 12516879111017637, -1289253851770698, 77638806668964, -2375060237658, 20124823639, 653959404, -5675250, -601992, 18339, -216, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 47}
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id: 369915
{'charpoly_factorization': [[[32411968975582848549273600, 0, 845339200941174189834240, 0, 4087304609239582537984, 0, 7191310738037328384, 0, 5609908123645632, 0, 2034100631584, 0, 361988544, 0, 30792, 0, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 53}
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id: 369916
{'charpoly_factorization': [[[250183976811018419736576, -13464257953771768393728, -12967015581384545092608, 710850329660837035008, 679849254576282279424, -76684869370222854912, 3293329123711849152, -50774595229772928, -517088005128960, 15095943649728, 875821868356, -46515523896, 1033143117, -13391730, 106287, -486, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 59}
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id: 369917
{'charpoly_factorization': [[[18616094738743741269921856, -4719711680900580576124640, 805208228417656685629032, -75216457049745272575788, 5161345702015669140537, -235792317290577022062, 8347539733668826121, -201477373776726406, 4356349609168422, -70170755508646, 1289529484781, -15850820274, 218464194, -1429602, 16317, -62, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 61}
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id: 369918
{'charpoly_factorization': [[[398135420406681615028455561, -52897565095674108164420184, 5481778001541420573155988, -278643288619229750176284, 12353277118205170600344, -259344397907493698628, 8879893128450339192, -126716973720392502, 4840362718891155, -31045516225848, 1159453609644, -5375078082, 200306644, -454724, 16626, -14, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 67}
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id: 369919
{'charpoly_factorization': [[[3460600185946318057017600, 0, 61554289077944851512960, 0, 375715781394582528784, 0, 965998755651599136, 0, 1174084671269232, 0, 700155794536, 0, 198089064, 0, 24048, 0, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 71}
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id: 369920
{'charpoly_factorization': [[[-3873480104384, 467628336896, 168611738992, 4489738960, -37013548, -1986092, -9959, 134, 1], 2]], 'hecke_orbit_code': 549806145671, 'p': 73}
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id: 369921
{'charpoly_factorization': [[[151627604818509499193265033216, 10635463887284468325370134528, 640044781247983422182980608, 15982617412486642439282688, 439286937805911688208640, 6685684505766453454848, 149823621188944399872, 1788074882109937152, 33971760797680512, 279686838658176, 4788026547744, 29146788480, 478376656, 1616608, 25980, 40, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 79}
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id: 369922
{'charpoly_factorization': [[[2396916032470708220307876096, -155233096803942719432766336, -2797828258766727111645456, 398230794567641087554968, 5533636028913240752241, -522993242961570297492, -7922877744028517469, 431825819187284316, 13582893058251066, 61394987717892, -2289101300037, -20425864122, 515705616, 12407418, 114597, 522, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 83}
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id: 369923
{'charpoly_factorization': [[[23309012977605509529600, 0, 1591101486714531133440, 0, 37184242457939141889, 0, 322798428792599274, 0, 604010161259343, 0, 418732453260, 0, 130483791, 0, 18666, 0, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 89}
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id: 369924
{'charpoly_factorization': [[[172283783790635128384828754176, 1041477453679056217314456832, 570174298019270068990705536, 23447030597041994106944384, 1930677176120592522024128, 45993076508285260020480, 1043061873315928294624, 13382069487489118000, 190553976909035352, 1819290662151328, 21503054389048, 154137795744, 1343392769, 5944070, 46047, 142, 1], 1]], 'hecke_orbit_code': 549806145671, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '135.3.i.a', 'level': 135, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 38551000
{'hecke_orbit_code': 549806145671, 'n': 1, 'trace_an': 16}
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id: 38551001
{'hecke_orbit_code': 549806145671, 'n': 2, 'trace_an': 0}
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id: 38551002
{'hecke_orbit_code': 549806145671, 'n': 3, 'trace_an': 0}
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id: 38551003
{'hecke_orbit_code': 549806145671, 'n': 4, 'trace_an': 16}
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id: 38551004
{'hecke_orbit_code': 549806145671, 'n': 5, 'trace_an': 0}
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id: 38551005
{'hecke_orbit_code': 549806145671, 'n': 6, 'trace_an': 0}
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id: 38551006
{'hecke_orbit_code': 549806145671, 'n': 7, 'trace_an': 2}
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id: 38551007
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