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{'Nk2': 16112, 'analytic_conductor': 32.16374193417174, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [19, -1], [53, 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': [4028, 1, [2015, 2757, 2281], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 19, 'field_disc': 50400720287494075682212439083361026217, 'field_disc_factorization': [[181607, 1], [277526308388410555111930922725231, 1]], 'field_poly': [-4088, 17097, 16295, -115318, 54044, 176987, -140498, -117486, 124233, 37245, -56325, -4144, 14442, -683, -2103, 253, 161, -27, -5, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [4088, 17097, -16295, -115318, -54044, 176987, 140498, -117486, -124233, 37245, 56325, -4144, -14442, -683, 2103, 253, -161, -27, 5, 1]], [5, [1984, 13440, 4688, -131208, -220804, 227442, 569275, -131327, -514615, 11576, 208572, 15765, -42247, -5482, 4479, 730, -238, -44, 5, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288299452, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 27, 'hecke_ring_index_factorization': [[3, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4028.2.a.c', 'level': 4028, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19, 53], 'level_radical': 2014, 'minimal_twist': '4028.2.a.c', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}-\\beta _{10}q^{5}+(-1+\\beta _{8})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 19, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4028.2.a', 'trace_display': [0, -5, -5, -10], 'trace_hash': 1511931922792887143, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.132', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '654.075', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '46149.795', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [19, 0, -5, 0, -5, 0, -10, 0, 22, 0, -3, 0, -23, 0, -18, 0, -7, 0, 19, 0, -4, 0, -6, 0, 18, 0, -17, 0, -4, 0, -30, 0, -10, 0, -1, 0, -31, 0, 5, 0, -15, 0, -29, 0, 6, 0, -18, 0, 23, 0, -5, 0, -19, 0, -19, 0, -5, 0, 8, 0, -4, 0, -64, 0, -26, 0, -62, 0, 3, 0, -17, 0, 1, 0, -40, 0, -14, 0, -28, 0, 11, 0, 4, 0, -31, 0, -20, 0, 33, 0, -29, 0, -59, 0, -5, 0, 5, 0, -48, 0, 23, 0, -105, 0, 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{'AL_dims': [[[[2, -1], [19, -1], [53, -1]], 20, 2], [[[2, -1], [19, 1], [53, 1]], 19, 1], [[[2, -1], [19, 1], [53, -1]], 19, 1], [[[2, -1], [19, -1], [53, 1]], 20, 2]], 'ALdims': [0, 0, 0, 0, 19, 19, 20, 20], 'Nk2': 16112, 'analytic_conductor': 32.16374193417174, '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': [4028, 1, [2015, 2757, 2281], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 535, 'dim': 78, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33558460, 'hecke_orbit_dims': [1, 1, 19, 19, 19, 19], 'label': '4028.2.a', 'level': 4028, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19, 53], 'level_radical': 2014, 'mf_dim': 546, 'mf_new_dim': 78, 'num_forms': 6, 'plus_dim': 39, 'prim_orbit_index': 1, 'relative_dim': 78, 'sturm_bound': 1080, 'trace_bound': 5, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 19, 'source_embedding_index': 19, 'source_hecke_orbit_code': 9007199288299452, 'source_is_minimal': True, 'source_label': '4028.2.a.c.1.19', 'source_level': 4028, 'target_conrey_index': 1, 'target_dim': 19, 'target_embedding_index': 19, 'target_hecke_orbit_code': 9007199288299452, 'target_is_minimal': True, 'target_label': '4028.2.a.c.1.19', 'target_level': 4028, 'twist_class_label': '4028.2.a.c.1.19', 'twist_class_level': 4028, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3475725
{'charpoly_factorization': [[[0, 1], 19]], 'hecke_orbit_code': 9007199288299452, 'p': 2}
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id: 3475726
{'charpoly_factorization': [[[4088, 17097, -16295, -115318, -54044, 176987, 140498, -117486, -124233, 37245, 56325, -4144, -14442, -683, 2103, 253, -161, -27, 5, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 3}
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id: 3475727
{'charpoly_factorization': [[[1984, 13440, 4688, -131208, -220804, 227442, 569275, -131327, -514615, 11576, 208572, 15765, -42247, -5482, 4479, 730, -238, -44, 5, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 5}
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id: 3475728
{'charpoly_factorization': [[[-280503, 1005318, 3211632, -6548076, -5282122, 10117233, 3858703, -6301921, -1965734, 1927939, 641557, -298814, -117517, 21601, 11467, -384, -550, -28, 10, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 7}
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id: 3475729
{'charpoly_factorization': [[[60542448, 149711120, -35311311, -324472840, -128278487, 226789805, 155925706, -51029598, -60064951, -1633166, 8879474, 1279455, -632688, -129874, 23286, 5812, -424, -123, 3, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 11}
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id: 3475730
{'charpoly_factorization': [[[-2842624, 27183872, 24554048, -232205264, -493083712, -258354252, 162111076, 220690073, 53353093, -27679054, -16378328, -803957, 1242628, 271183, -18328, -12057, -924, 126, 23, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 13}
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id: 3475731
{'charpoly_factorization': [[[168667, -462895468, 647565849, 680052696, -959291725, -443838866, 523132484, 155700304, -138146872, -31213400, 19102511, 3630303, -1401766, -237468, 53853, 8432, -1005, -149, 7, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 17}
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id: 3475732
{'charpoly_factorization': [[[-1, 1], 19]], 'hecke_orbit_code': 9007199288299452, 'p': 19}
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id: 3475733
{'charpoly_factorization': [[[42068992, 358293184, 723051136, -721205024, -2597447320, -507523956, 1822849230, 724716619, -381900182, -171295914, 39445282, 16901334, -2306323, -813750, 74295, 19427, -1110, -224, 6, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 23}
-
id: 3475734
{'charpoly_factorization': [[[-2520276864, -301253723392, -31352436256, 431347735216, -83086103256, -150401190164, 39202782568, 21058626311, -5363037193, -1664214618, 335772687, 81049472, -10549958, -2325018, 170378, 37256, -1339, -306, 4, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 29}
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id: 3475735
{'charpoly_factorization': [[[625280866074, -138925400053, -1038600380884, 18696012060, 567456704748, 84478906368, -112862355486, -26847301721, 8955888043, 2880725428, -278212663, -145036323, -322471, 3674312, 214446, -42842, -4541, 117, 30, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 31}
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id: 3475736
{'charpoly_factorization': [[[-2079221861632, 16642733415232, 36092991887168, 19955124242816, -922794066600, -4123560092660, -1015320278646, 157962419075, 99169873079, 7721207476, -2696257380, -510866238, 13116632, 9801874, 483854, -71816, -7421, 62, 31, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 37}
-
id: 3475737
{'charpoly_factorization': [[[-9075318612546, 10551275010659, 9234757174786, -9673538675372, -3777861161996, 2493775782221, 736050308730, -252859776064, -74971460364, 10474941708, 3839723424, -118090220, -93636418, -1738712, 1136371, 49564, -6655, -385, 15, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 41}
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id: 3475738
{'charpoly_factorization': [[[6508901677727, -5719073755893, -4512308235350, 2965632275760, 1782481122623, -442256634039, -346238831535, 4461681067, 30685878285, 3422586884, -1159435825, -251948827, 10374241, 6547849, 331170, -58776, -6460, 41, 29, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 43}
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id: 3475739
{'charpoly_factorization': [[[-1318722111171, 4316676093099, 5441104973898, -1739479750554, -2120285652373, 364849963897, 332406804299, -42141523816, -26772914283, 2430644551, 1268471216, -67227865, -36784117, 586301, 629214, 10192, -5578, -227, 18, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 47}
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id: 3475740
{'charpoly_factorization': [[[1, 1], 19]], 'hecke_orbit_code': 9007199288299452, 'p': 53}
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id: 3475741
{'charpoly_factorization': [[[40613419372898304, -6446997419595264, -8906289738803712, 1449163245554688, 791947361289224, -130280711649016, -37599688253916, 6163743228245, 1062379952620, -171078193277, -18701114465, 2917806715, 206397008, -30820583, -1382939, 195700, 5120, -682, -8, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 59}
-
id: 3475742
{'charpoly_factorization': [[[-488308220603072, -1016085719665120, 39671926221232, 550348679657992, 12196723584784, -90004192274860, -2412857500797, 5815857628341, 94067851119, -190079089129, -885163049, 3471728285, -12272936, -36804253, 283267, 224799, -1837, -735, 4, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 61}
-
id: 3475743
{'charpoly_factorization': [[[-360406446326464, 652429162984832, -4998106193344, -473471245914987, 140839418805121, 81540871914582, -26996186935562, -4098545505269, 1406650486027, 134075672650, -34357173031, -3285789988, 413399970, 50702785, -1714503, -396849, -7556, 1075, 62, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 67}
-
id: 3475744
{'charpoly_factorization': [[[-11239697059444224, -890377813326240, 5698623563166078, 306478806527421, -778202880328497, -36252438613402, 50062323507340, 2215606550285, -1787520922891, -80119365066, 37575511414, 1776503236, -467891359, -23702518, 3316395, 179335, -12033, -684, 17, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 71}
-
id: 3475745
{'charpoly_factorization': [[[-111277349747310528, 391163151228477184, -95366993180933888, -53205331434268520, 19841746371481052, 676954614588654, -907370903522463, 49352928267758, 17051755142622, -1588019227409, -163615858432, 20348727209, 859185041, -139735511, -2412062, 543897, 3108, -1138, -1, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 73}
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id: 3475746
{'charpoly_factorization': [[[-3326863359894678554, -462933254798727761, 817254563368972060, 21982063926382995, -57293237406130716, -635217098100042, 1885399756780596, 19054636261093, -34791453359003, -450347282622, 389348687650, 6649261814, -2710487355, -58840559, 11510218, 304849, -27371, -854, 28, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 79}
-
id: 3475747
{'charpoly_factorization': [[[10232337691489536, 14947222894857792, 5751774803136672, -909986598099120, -968057788668040, -87159328282192, 49118142682440, 8340605283299, -1125839122839, -273320280207, 12475284994, 4628233751, -55052898, -44882996, -96779, 252700, 1654, -773, -4, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 83}
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id: 3475748
{'charpoly_factorization': [[[-2346776488626176, 11139915997348608, 15721330894686720, -5443130465329104, -2596600134189120, 833086574108660, 110395131751620, -46426258311183, -558222027202, 1122937451571, -47768863521, -12627164045, 990960806, 61232916, -7758916, -49302, 26518, -467, -33, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 89}
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id: 3475749
{'charpoly_factorization': [[[14360382848, 974777426880, -32042630553280, 45496121418480, 880890081488, -16640831045680, 10620339564, 1935664087853, 33489507418, -96094474984, -2050552014, 2362921447, 46369349, -30678458, -502437, 212364, 2600, -735, -5, 1], 1]], 'hecke_orbit_code': 9007199288299452, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '4028.2.a.c', 'level': 4028, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 104355000
{'hecke_orbit_code': 9007199288299452, 'n': 1, 'trace_an': 19}
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id: 104355001
{'hecke_orbit_code': 9007199288299452, 'n': 2, 'trace_an': 0}
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id: 104355002
{'hecke_orbit_code': 9007199288299452, 'n': 3, 'trace_an': -5}
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id: 104355003
{'hecke_orbit_code': 9007199288299452, 'n': 4, 'trace_an': 0}
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id: 104355004
{'hecke_orbit_code': 9007199288299452, 'n': 5, 'trace_an': -5}
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id: 104355005
{'hecke_orbit_code': 9007199288299452, 'n': 6, 'trace_an': 0}
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id: 104355006
{'hecke_orbit_code': 9007199288299452, 'n': 7, 'trace_an': -10}
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id: 104355007
{'hecke_orbit_code': 9007199288299452, 'n': 8, 'trace_an': 0}
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id: 104355008
{'hecke_orbit_code': 9007199288299452, 'n': 9, 'trace_an': 22}
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id: 104355009
{'hecke_orbit_code': 9007199288299452, 'n': 10, 'trace_an': 0}
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id: 104355010
{'hecke_orbit_code': 9007199288299452, 'n': 11, 'trace_an': -3}
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id: 104355011
{'hecke_orbit_code': 9007199288299452, 'n': 12, 'trace_an': 0}
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id: 104355012
{'hecke_orbit_code': 9007199288299452, 'n': 13, 'trace_an': -23}
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id: 104355013
{'hecke_orbit_code': 9007199288299452, 'n': 14, 'trace_an': 0}
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id: 104355014
{'hecke_orbit_code': 9007199288299452, 'n': 15, 'trace_an': -18}
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id: 104355015
{'hecke_orbit_code': 9007199288299452, 'n': 16, 'trace_an': 0}
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id: 104355016
{'hecke_orbit_code': 9007199288299452, 'n': 17, 'trace_an': -7}
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id: 104355017
{'hecke_orbit_code': 9007199288299452, 'n': 18, 'trace_an': 0}
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id: 104355018
{'hecke_orbit_code': 9007199288299452, 'n': 19, 'trace_an': 19}
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id: 104355019
{'hecke_orbit_code': 9007199288299452, 'n': 20, 'trace_an': 0}
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id: 104355020
{'hecke_orbit_code': 9007199288299452, 'n': 21, 'trace_an': -4}
-
id: 104355021
{'hecke_orbit_code': 9007199288299452, 'n': 22, 'trace_an': 0}
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id: 104355022
{'hecke_orbit_code': 9007199288299452, 'n': 23, 'trace_an': -6}
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id: 104355023
{'hecke_orbit_code': 9007199288299452, 'n': 24, 'trace_an': 0}
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id: 104355024
{'hecke_orbit_code': 9007199288299452, 'n': 25, 'trace_an': 18}
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id: 104355025
{'hecke_orbit_code': 9007199288299452, 'n': 26, 'trace_an': 0}
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id: 104355026
{'hecke_orbit_code': 9007199288299452, 'n': 27, 'trace_an': -17}
-
id: 104355027
{'hecke_orbit_code': 9007199288299452, 'n': 28, 'trace_an': 0}
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id: 104355028
{'hecke_orbit_code': 9007199288299452, 'n': 29, 'trace_an': -4}
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id: 104355029
{'hecke_orbit_code': 9007199288299452, 'n': 30, 'trace_an': 0}
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id: 104355030
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