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mf_newforms • Show schema
{'Nk2': 13932, 'analytic_conductor': 62.0685382676235, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [43, 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': [387, 1, [173, 46], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 8, 'field_disc': 115802057857440976198752, 'field_disc_factorization': [[2, 5], [3, 1], [17, 1], [737797, 1], [910199, 1], [105662987, 1]], 'field_poly': [681984, 106368, -167688, -14192, 9118, 462, -173, -4, 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, [259776, 439936, -39464, -49104, 3358, 1502, -117, -12, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199355404675, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 6, 'hecke_ring_index_factorization': [[2, 1], [3, 1]], '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': False, 'label': '387.6.a.c', 'level': 387, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 43], 'level_radical': 129, 'minimal_twist': '43.6.a.a', 'prim_orbit_index': 1, 'qexp_display': 'q+(2-\\beta _{1})q^{2}+(15-2\\beta _{1}-2\\beta _{2}-\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '387.6.a', 'trace_display': [12, 0, 212, -136], 'trace_hash': 657097823758890113, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.102', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.301', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'AL_dims': [[[[3, -1], [43, 1]], 27, 3], [[[3, -1], [43, -1]], 25, 3], [[[3, 1], [43, 1]], 16, 1], [[[3, 1], [43, -1]], 20, 1]], 'ALdims': [16, 20, 27, 25], 'Nk2': 13932, 'analytic_conductor': 62.0685382676235, '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': [387, 1, [173, 46], [1, 1]], 'conrey_index': 1, 'cusp_dim': 216, 'dim': 88, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100663683, 'hecke_orbit_dims': [6, 8, 8, 9, 10, 11, 16, 20], 'label': '387.6.a', 'level': 387, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 43], 'level_radical': 129, 'mf_dim': 224, 'mf_new_dim': 88, 'num_forms': 8, 'plus_dim': 41, 'prim_orbit_index': 1, 'relative_dim': 88, 'sturm_bound': 264, 'trace_bound': 2, 'trace_display': [-4, 0, 42, 76], 'traces': [88, -4, 0, 1404, 42, 0, 76, 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mf_twists_cc • Show schema
-
id: 40495739
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 9007199355404675, 'source_is_minimal': False, 'source_label': '387.6.a.c.1.7', 'source_level': 387, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007199355404675, 'target_is_minimal': False, 'target_label': '387.6.a.c.1.7', 'target_level': 387, 'twist_class_label': '43.6.a.a.1.2', 'twist_class_level': 43, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6} -
id: 40495740
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 9007199355404675, 'source_is_minimal': False, 'source_label': '387.6.a.c.1.7', 'source_level': 387, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 100663339, 'target_is_minimal': True, 'target_label': '43.6.a.a.1.2', 'target_level': 43, 'twist_class_label': '43.6.a.a.1.2', 'twist_class_level': 43, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 6} -
id: 40495741
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 9007199355404675, 'source_is_minimal': False, 'source_label': '387.6.a.c.1.7', 'source_level': 387, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398610145968, 'target_is_minimal': False, 'target_label': '688.6.a.e.1.2', 'target_level': 688, 'twist_class_label': '43.6.a.a.1.2', 'twist_class_level': 43, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 6} -
id: 40495742
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 9007199355404675, 'source_is_minimal': False, 'source_label': '387.6.a.c.1.7', 'source_level': 387, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 100664371, 'target_is_minimal': False, 'target_label': '1075.6.a.a.1.7', 'target_level': 1075, 'twist_class_label': '43.6.a.a.1.2', 'twist_class_level': 43, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 6}
-
id: 40495739
-
mf_hecke_charpolys • Show schema
-
id: 813575
{'charpoly_factorization': [[[259776, 439936, -39464, -49104, 3358, 1502, -117, -12, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 2} -
id: 813576
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007199355404675, 'p': 3} -
id: 813577
{'charpoly_factorization': [[[5172924974752, -1078880170848, 54379881442, 883062964, -81381385, 1016128, 7783, -212, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 5} -
id: 813578
{'charpoly_factorization': [[[116222354316288, 43459429678848, 4329955769184, 129844227552, 573109808, -9763880, -61574, 136, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 7} -
id: 813579
{'charpoly_factorization': [[[16753808850459134976, -624343314702054528, 8339795208994704, -45000841976988, 46616679553, 322346400, -558018, -532, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 11} -
id: 813580
{'charpoly_factorization': [[[-209585020392155217744, 7478047501760359440, 6802553866384368, -370621947684948, -1445788688279, -1375580104, 1195110, 2492, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 13} -
id: 813581
{'charpoly_factorization': [[[37926830275075136544633, 293095597758857899902, 196078714064136693, -2317785169226190, -1750346026308, 6313795694, -1270643, -2534, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 17} -
id: 813582
{'charpoly_factorization': [[[20377506362020832218865968, -57833065344432365453056, -30881750045973655680, 103160205820683760, 57520540020045, -25395335782, -15002885, 1678, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 19} -
id: 813583
{'charpoly_factorization': [[[-184301930717395428665973383, 855427043419466247426736, -820925453050711862105, -532680614614099516, 296571412629528, 70979412460, -31683297, -2488, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 23} -
id: 813584
{'charpoly_factorization': [[[-39467128774909843895804136, 437864858702475102000072, 232390665296975797722, -764932230807720084, -102909589543017, 237071828860, -40668269, -4360, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 29} -
id: 813585
{'charpoly_factorization': [[[10277945811341302975416028513, -41731506003608325876686072, 37693398844755762807435, -11705033314802358652, 55447831561440, 606806231860, -74495573, -5704, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 31} -
id: 813586
{'charpoly_factorization': [[[-10957338718933001368657477653504, -5553731787618605700740406912, -135641080904470229142408, 285306951398741935680, 33804397527288373, -2110832852496, -363678631, 3772, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 37} -
id: 813587
{'charpoly_factorization': [[[1779724601241447404334122397857, 1476282817567416731395892618, -299177203568964725011619, -97139036739429657510, 13684977957931252, 1850906058934, -208766819, -10698, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 41} -
id: 813588
{'charpoly_factorization': [[[1849, 1], 8]], 'hecke_orbit_code': 9007199355404675, 'p': 43} -
id: 813589
{'charpoly_factorization': [[[-191154375348571184908120035795904, 104681385551623123943009522272, -20215029163501400632729932, 1053078436722173099388, 184514805755443205, -34288673842832, 2375107969, -77864, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 47} -
id: 813590
{'charpoly_factorization': [[[55391167541937385381216992810384, -73554228571022567804774411152, 13391891869646213991609356, 1265683934216689546060, -391239772753902151, 17547197551260, 759433570, -62352, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 53} -
id: 813591
{'charpoly_factorization': [[[-68871129073024729593990117062458368, 10304074256025283237451762984448, 5725136018905991115283008, -58153886904085589910144, 1572083239240996464, 85817413362304, -2944879380, -26224, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 59} -
id: 813592
{'charpoly_factorization': [[[23063869527762228029218806195353984, 6321904373112269132136197728384, 336048603594268768220202720, -40288810049516309506176, -4757919938906569384, -146433759288344, 310045522, 82540, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 61} -
id: 813593
{'charpoly_factorization': [[[69957068467776036446467773285597648, 6967650062576937221968456939968, -618443083393259573545016184, -44972968997650563067008, 2253346285790674161, 71143970372344, -2814867770, -27784, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 67} -
id: 813594
{'charpoly_factorization': [[[-155489060993468170385239017431032064, -58297325864955075906210918607360, -5430563500161697618624510080, 72071759960036896075520, 15044739621952512640, -3736008685216, -7671997080, -9504, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 71} -
id: 813595
{'charpoly_factorization': [[[8054490915098988465278976525393792, -13531835969808464070608182144, -282268851739077675224871456, -9599195033198413091968, 1545293860286742712, 23615008093864, -2401149454, -14260, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 73} -
id: 813596
{'charpoly_factorization': [[[1986255704225757834975233912049466112, -478819114252600708763129415511936, 22949484314390187205593311836, 292500204566873349787188, -38441230790897773763, 637841681315296, 3511120093, -160248, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 79} -
id: 813597
{'charpoly_factorization': [[[-1976616963623996074864079900299793808, 567856634736770406555346127099520, -34636308825999308956028176860, -1040939159475520808851380, 37880169769568642313, 551728279600100, -11424361174, -77176, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 83} -
id: 813598
{'charpoly_factorization': [[[-13286702022635755617362971656796235264, 1237215635449593622738321769226752, 83220535906253246503419614112, -1409689174461462324411328, -72968680454010964328, 877164197088320, 15614540094, -265692, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 89} -
id: 813599
{'charpoly_factorization': [[[386832610630509600006997269543743017, 1657015206427080000839870226118126, -55816301769764912930703132779, -3698021832350737209393358, 81215980328465108268, 1748586412389886, -15555161907, -144742, 1], 1]], 'hecke_orbit_code': 9007199355404675, 'p': 97}
-
id: 813575
-
mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '387.6.a.c', 'level': 387, 'portrait': 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', 'weight': 6} -
mf_hecke_traces • Show schema
-
id: 112046000
{'hecke_orbit_code': 9007199355404675, 'n': 1, 'trace_an': 8} -
id: 112046001
{'hecke_orbit_code': 9007199355404675, 'n': 2, 'trace_an': 12} -
id: 112046002
{'hecke_orbit_code': 9007199355404675, 'n': 3, 'trace_an': 0} -
id: 112046003
{'hecke_orbit_code': 9007199355404675, 'n': 4, 'trace_an': 122} -
id: 112046004
{'hecke_orbit_code': 9007199355404675, 'n': 5, 'trace_an': 212} -
id: 112046005
{'hecke_orbit_code': 9007199355404675, 'n': 6, 'trace_an': 0} -
id: 112046006
{'hecke_orbit_code': 9007199355404675, 'n': 7, 'trace_an': -136} -
id: 112046007
{'hecke_orbit_code': 9007199355404675, 'n': 8, 'trace_an': 666} -
id: 112046008
{'hecke_orbit_code': 9007199355404675, 'n': 9, 'trace_an': 0} -
id: 112046009
{'hecke_orbit_code': 9007199355404675, 'n': 10, 'trace_an': -617} -
id: 112046010
{'hecke_orbit_code': 9007199355404675, 'n': 11, 'trace_an': 532} -
id: 112046011
{'hecke_orbit_code': 9007199355404675, 'n': 12, 'trace_an': 0} -
id: 112046012
{'hecke_orbit_code': 9007199355404675, 'n': 13, 'trace_an': -2492} -
id: 112046013
{'hecke_orbit_code': 9007199355404675, 'n': 14, 'trace_an': 4240} -
id: 112046014
{'hecke_orbit_code': 9007199355404675, 'n': 15, 'trace_an': 0} -
id: 112046015
{'hecke_orbit_code': 9007199355404675, 'n': 16, 'trace_an': 1882} -
id: 112046016
{'hecke_orbit_code': 9007199355404675, 'n': 17, 'trace_an': 2534} -
id: 112046017
{'hecke_orbit_code': 9007199355404675, 'n': 18, 'trace_an': 0} -
id: 112046018
{'hecke_orbit_code': 9007199355404675, 'n': 19, 'trace_an': -1678} -
id: 112046019
{'hecke_orbit_code': 9007199355404675, 'n': 20, 'trace_an': 2607} -
id: 112046020
{'hecke_orbit_code': 9007199355404675, 'n': 21, 'trace_an': 0} -
id: 112046021
{'hecke_orbit_code': 9007199355404675, 'n': 22, 'trace_an': 11502} -
id: 112046022
{'hecke_orbit_code': 9007199355404675, 'n': 23, 'trace_an': 2488} -
id: 112046023
{'hecke_orbit_code': 9007199355404675, 'n': 24, 'trace_an': 0} -
id: 112046024
{'hecke_orbit_code': 9007199355404675, 'n': 25, 'trace_an': 4378} -
id: 112046025
{'hecke_orbit_code': 9007199355404675, 'n': 26, 'trace_an': -4586} -
id: 112046026
{'hecke_orbit_code': 9007199355404675, 'n': 27, 'trace_an': 0} -
id: 112046027
{'hecke_orbit_code': 9007199355404675, 'n': 28, 'trace_an': 18640} -
id: 112046028
{'hecke_orbit_code': 9007199355404675, 'n': 29, 'trace_an': 4360} -
id: 112046029
{'hecke_orbit_code': 9007199355404675, 'n': 30, 'trace_an': 0} -
id: 112046030
{'hecke_orbit_code': 9007199355404675, 'n': 31, 'trace_an': 5704} -
id: 112046031
{'hecke_orbit_code': 9007199355404675, 'n': 32, 'trace_an': 18294} -
id: 112046032
{'hecke_orbit_code': 9007199355404675, 'n': 33, 'trace_an': 0} -
id: 112046033
{'hecke_orbit_code': 9007199355404675, 'n': 34, 'trace_an': 30007} -
id: 112046034
{'hecke_orbit_code': 9007199355404675, 'n': 35, 'trace_an': -5640} -
id: 112046035
{'hecke_orbit_code': 9007199355404675, 'n': 36, 'trace_an': 0} -
id: 112046036
{'hecke_orbit_code': 9007199355404675, 'n': 37, 'trace_an': -3772} -
id: 112046037
{'hecke_orbit_code': 9007199355404675, 'n': 38, 'trace_an': 6559} -
id: 112046038
{'hecke_orbit_code': 9007199355404675, 'n': 39, 'trace_an': 0} -
id: 112046039
{'hecke_orbit_code': 9007199355404675, 'n': 40, 'trace_an': 14869} -
id: 112046040
{'hecke_orbit_code': 9007199355404675, 'n': 41, 'trace_an': 10698} -
id: 112046041
{'hecke_orbit_code': 9007199355404675, 'n': 42, 'trace_an': 0} -
id: 112046042
{'hecke_orbit_code': 9007199355404675, 'n': 43, 'trace_an': -14792} -
id: 112046043
{'hecke_orbit_code': 9007199355404675, 'n': 44, 'trace_an': 356} -
id: 112046044
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id: 112046045
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-
id: 112046000
Embedded newform data - 387.6.a.c.1.7