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mf_newforms • Show schema
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{'Nk2': 1044, 'analytic_conductor': 4.651130774576439, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[29, -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': [29, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 7, 'field_disc': 5916217332234457600, 'field_disc_factorization': [[2, 9], [5, 2], [11, 1], [113, 1], [371845920419, 1]], 'field_poly': [524902, -149754, -34491, 10145, 584, -184, -3, 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': [[2, [-351200, -186896, 2416, 10616, 346, -181, -4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599728033821, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], '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': '29.6.a.b', 'level': 29, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [29], 'level_radical': 29, 'minimal_twist': '29.6.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(4+\\beta _{5})q^{3}+(23-3\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '29.6.a', 'trace_display': [4, 26, 32, 184], 'trace_hash': 1900777359891302696, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.161', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.152', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[29, -1]], 7, 1], [[[29, 1]], 4, 1]], 'ALdims': [4, 7], 'Nk2': 1044, 'analytic_conductor': 4.651130774576439, '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': [29, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 11, 'dim': 11, 'eis_dim': 2, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100663325, 'hecke_orbit_dims': [4, 7], 'label': '29.6.a', 'level': 29, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [29], 'level_radical': 29, 'mf_dim': 13, 'mf_new_dim': 11, 'num_forms': 2, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 11, 'sturm_bound': 15, 'trace_bound': 1, 'trace_display': [4, -2, -36, -24], 'traces': [11, 4, -2, 164, -36, -172, -24, 438, 725, 134, 982, 234, -52, -1240, 318, -172, -690, -2390, 1896, -3528, -3208, -576, -5724, 2468, 7351, -15082, 8410, -452, 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mf_twists_cc • Show schema
Hide schema
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id: 34393777
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599728033821, 'source_is_minimal': True, 'source_label': '29.6.a.b.1.2', 'source_level': 29, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599728033821, 'target_is_minimal': True, 'target_label': '29.6.a.b.1.2', 'target_level': 29, 'twist_class_label': '29.6.a.b.1.2', 'twist_class_level': 29, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
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id: 34393778
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599728033821, 'source_is_minimal': True, 'source_label': '29.6.a.b.1.2', 'source_level': 29, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014398610145541, 'target_is_minimal': False, 'target_label': '261.6.a.e.1.6', 'target_level': 261, 'twist_class_label': '29.6.a.b.1.2', 'twist_class_level': 29, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 6}
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id: 34393779
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599728033821, 'source_is_minimal': True, 'source_label': '29.6.a.b.1.2', 'source_level': 29, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 7, 'target_hecke_orbit_code': 45035996374368720, 'target_is_minimal': False, 'target_label': '464.6.a.k.1.7', 'target_level': 464, 'twist_class_label': '29.6.a.b.1.2', 'twist_class_level': 29, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 6}
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id: 34393780
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599728033821, 'source_is_minimal': True, 'source_label': '29.6.a.b.1.2', 'source_level': 29, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503599728034517, 'target_is_minimal': False, 'target_label': '725.6.a.b.1.6', 'target_level': 725, 'twist_class_label': '29.6.a.b.1.2', 'twist_class_level': 29, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 6}
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id: 34393781
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599728033821, 'source_is_minimal': True, 'source_label': '29.6.a.b.1.2', 'source_level': 29, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503599728034633, 'target_is_minimal': False, 'target_label': '841.6.a.b.1.6', 'target_level': 841, 'twist_class_label': '29.6.a.b.1.2', 'twist_class_level': 29, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 109225
{'charpoly_factorization': [[[-351200, -186896, 2416, 10616, 346, -181, -4, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 2}
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id: 109226
{'charpoly_factorization': [[[661023756, -22844001, -7496290, 280279, 26056, -1015, -26, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 3}
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id: 109227
{'charpoly_factorization': [[[2378174390186, -71107482707, -1882536724, 54141495, 456170, -13189, -32, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 5}
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id: 109228
{'charpoly_factorization': [[[361848785235968, 2579467705856, -180798693888, 679110080, 12004416, -61112, -184, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 7}
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id: 109229
{'charpoly_factorization': [[[515865611322413044, 3479126648563423, -17338617711626, -73256939689, 323786496, 15177, -1106, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 11}
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id: 109230
{'charpoly_factorization': [[[10011422243374034, 35719316041077, -6217250606588, -8368783321, 449335138, -1099773, -408, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 13}
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id: 109231
{'charpoly_factorization': [[[-1759008211621796524928, -4762080661877200832, 4400022913305568, 11750005682096, -3880384296, -6477972, 874, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 17}
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id: 109232
{'charpoly_factorization': [[[1577886796415337230592, -384177380729022144, -22726079248952448, -2802099264912, 19511173648, -1439924, -4288, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 19}
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id: 109233
{'charpoly_factorization': [[[-1541996530463904256, -37102640165875136, 139547314402368, 1885764458736, -7019218112, 2107804, 4532, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 23}
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id: 109234
{'charpoly_factorization': [[[-841, 1], 7]], 'hecke_orbit_code': 4503599728033821, 'p': 29}
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id: 109235
{'charpoly_factorization': [[[6420544617336645742728248, -8779137937882467202801, -2325896554397613794, 2013745795872983, 398022767396, -75300839, -7794, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 31}
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id: 109236
{'charpoly_factorization': [[[-169427597340291540849811456, -124621487331648348110848, 30949163252985802240, 20164120745134336, 445110854496, -273984608, -5086, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 37}
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id: 109237
{'charpoly_factorization': [[[-565116393707721782153270272, -806078525612758388636160, -180401632254755256192, 15992490422438592, 4322757774032, -217946616, -19826, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 41}
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id: 109238
{'charpoly_factorization': [[[-584154881790838204948625260, -1161981869782267078383641, -268754574826897047682, 25211595416791175, 5437038516432, -316513743, -19498, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 43}
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id: 109239
{'charpoly_factorization': [[[-145139026624760907163707336, -31025320201484563775769, 37913247078045875370, 9699630620043943, -1210354130884, -403592367, -14278, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 47}
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id: 109240
{'charpoly_factorization': [[[84431195500829225550106221194, -61298519903015552042857075, 8611454133924080687232, -4330722850397705, -39591011680062, -55959141, 58644, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 53}
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id: 109241
{'charpoly_factorization': [[[1585625174584510658099808160000, -195158259387211605386833600, -13788557146446721671680, 1325580183274664304, 24300942873424, -2216676980, -12888, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 59}
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id: 109242
{'charpoly_factorization': [[[458133357273666870639774327680, -250565724562379875594198208, 46521878497139049440672, -3470412083411730640, 73658693252072, 2180773148, -102866, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 61}
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id: 109243
{'charpoly_factorization': [[[-11956082452404320145451300290560, 2358446434908213835236999168, -67251892812725830119424, -7624284713722041344, 328821833213824, -647318752, -102996, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 67}
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id: 109244
{'charpoly_factorization': [[[-2012628608851716560665668388352, 475819454172321815571793344, 29361410052080788516288, -5025269352663123344, -372698633777536, -5405760892, 51596, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 71}
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id: 109245
{'charpoly_factorization': [[[4327460874701064990243785629696, 2457646330902636209982636032, 279700134059741552529920, 8121415099482870016, -149044648658016, -6051106208, 17566, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 73}
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id: 109246
{'charpoly_factorization': [[[-281103718674892869560134153206200, 15319001035399638704800975799, 378325438739275773663862, -29939303716339944633, 170160611431108, 12042119713, -212058, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 79}
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id: 109247
{'charpoly_factorization': [[[-9772459237616209459610719138999552, 31614741382768225951885928256, 9547107132740033079021952, 42724404510698882672, -2173461254983760, -15465968916, 122928, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 83}
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id: 109248
{'charpoly_factorization': [[[-7903296212744046810266832775377920, -179679845335409607262969266688, 7543936452124733833252992, 151135874474894408896, -1270895508816816, -23989383192, 66510, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 89}
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id: 109249
{'charpoly_factorization': [[[628510214071026369740722989079552, 96107732887568661755657207296, 3599338069605379114412672, 3500459353391389888, -1404596434864624, -10035608344, 118182, 1], 1]], 'hecke_orbit_code': 4503599728033821, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '29.6.a.b', 'level': 29, 'portrait': 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', 'weight': 6}
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mf_hecke_traces • Show schema
Hide schema
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id: 74586000
{'hecke_orbit_code': 4503599728033821, 'n': 1, 'trace_an': 7}
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id: 74586001
{'hecke_orbit_code': 4503599728033821, 'n': 2, 'trace_an': 4}
-
id: 74586002
{'hecke_orbit_code': 4503599728033821, 'n': 3, 'trace_an': 26}
-
id: 74586003
{'hecke_orbit_code': 4503599728033821, 'n': 4, 'trace_an': 154}
-
id: 74586004
{'hecke_orbit_code': 4503599728033821, 'n': 5, 'trace_an': 32}
-
id: 74586005
{'hecke_orbit_code': 4503599728033821, 'n': 6, 'trace_an': 22}
-
id: 74586006
{'hecke_orbit_code': 4503599728033821, 'n': 7, 'trace_an': 184}
-
id: 74586007
{'hecke_orbit_code': 4503599728033821, 'n': 8, 'trace_an': 942}
-
id: 74586008
{'hecke_orbit_code': 4503599728033821, 'n': 9, 'trace_an': 1005}
-
id: 74586009
{'hecke_orbit_code': 4503599728033821, 'n': 10, 'trace_an': 922}
-
id: 74586010
{'hecke_orbit_code': 4503599728033821, 'n': 11, 'trace_an': 1106}
-
id: 74586011
{'hecke_orbit_code': 4503599728033821, 'n': 12, 'trace_an': 214}
-
id: 74586012
{'hecke_orbit_code': 4503599728033821, 'n': 13, 'trace_an': 408}
-
id: 74586013
{'hecke_orbit_code': 4503599728033821, 'n': 14, 'trace_an': -2008}
-
id: 74586014
{'hecke_orbit_code': 4503599728033821, 'n': 15, 'trace_an': -614}
-
id: 74586015
{'hecke_orbit_code': 4503599728033821, 'n': 16, 'trace_an': 242}
-
id: 74586016
{'hecke_orbit_code': 4503599728033821, 'n': 17, 'trace_an': -874}
-
id: 74586017
{'hecke_orbit_code': 4503599728033821, 'n': 18, 'trace_an': -5598}
-
id: 74586018
{'hecke_orbit_code': 4503599728033821, 'n': 19, 'trace_an': 4288}
-
id: 74586019
{'hecke_orbit_code': 4503599728033821, 'n': 20, 'trace_an': -6350}
-
id: 74586020
{'hecke_orbit_code': 4503599728033821, 'n': 21, 'trace_an': -4200}
-
id: 74586021
{'hecke_orbit_code': 4503599728033821, 'n': 22, 'trace_an': -6114}
-
id: 74586022
{'hecke_orbit_code': 4503599728033821, 'n': 23, 'trace_an': -4532}
-
id: 74586023
{'hecke_orbit_code': 4503599728033821, 'n': 24, 'trace_an': -4318}
-
id: 74586024
{'hecke_orbit_code': 4503599728033821, 'n': 25, 'trace_an': 5527}
-
id: 74586025
{'hecke_orbit_code': 4503599728033821, 'n': 26, 'trace_an': -19806}
-
id: 74586026
{'hecke_orbit_code': 4503599728033821, 'n': 27, 'trace_an': 5942}
-
id: 74586027
{'hecke_orbit_code': 4503599728033821, 'n': 28, 'trace_an': -496}
-
id: 74586028
{'hecke_orbit_code': 4503599728033821, 'n': 29, 'trace_an': 5887}
-
id: 74586029
{'hecke_orbit_code': 4503599728033821, 'n': 30, 'trace_an': -16734}
-
id: 74586030
{'hecke_orbit_code': 4503599728033821, 'n': 31, 'trace_an': 7794}
-
id: 74586031
{'hecke_orbit_code': 4503599728033821, 'n': 32, 'trace_an': 7898}
-
id: 74586032
{'hecke_orbit_code': 4503599728033821, 'n': 33, 'trace_an': 34410}
-
id: 74586033
{'hecke_orbit_code': 4503599728033821, 'n': 34, 'trace_an': 20840}
-
id: 74586034
{'hecke_orbit_code': 4503599728033821, 'n': 35, 'trace_an': 7088}
-
id: 74586035
{'hecke_orbit_code': 4503599728033821, 'n': 36, 'trace_an': -572}
-
id: 74586036
{'hecke_orbit_code': 4503599728033821, 'n': 37, 'trace_an': 5086}
-
id: 74586037
{'hecke_orbit_code': 4503599728033821, 'n': 38, 'trace_an': 23732}
-
id: 74586038
{'hecke_orbit_code': 4503599728033821, 'n': 39, 'trace_an': 33394}
-
id: 74586039
{'hecke_orbit_code': 4503599728033821, 'n': 40, 'trace_an': 22906}
-
id: 74586040
{'hecke_orbit_code': 4503599728033821, 'n': 41, 'trace_an': 19826}
-
id: 74586041
{'hecke_orbit_code': 4503599728033821, 'n': 42, 'trace_an': -55440}
-
id: 74586042
{'hecke_orbit_code': 4503599728033821, 'n': 43, 'trace_an': 19498}
-
id: 74586043
{'hecke_orbit_code': 4503599728033821, 'n': 44, 'trace_an': -6074}
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