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mf_newforms • Show schema
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{'Nk2': 3456, 'analytic_conductor': 6.899074734638625, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 32, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 8, 'char_parity': 1, 'char_values': [864, 8, [703, 325, 353], [8, 7, 8]], 'cm_discs': [], 'conrey_index': 109, 'conrey_indexes': [109, 325, 541, 757], 'dim': 128, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [2878946711824242936119296, 0, -12852453672805047772119040, 0, 28688541669277758704844800, 0, 104315050100597905207102275584, 0, 5942836570840168979682465677312, 0, 119330226076112110425754562461696, 0, 1297918195704486557163003291107328, 0, 5772549962356749794519566895808512, 0, 13181930742009403011677633220968448, 0, 115861449607187652903026492084060160, 0, 2373184789067757697492117642259988480, 0, 6954250127422603173448197677097418752, 0, 7204126805637741254817065654399533056, 0, -47589375782121124725867667473536385024, 0, 90416918455393406436429288323139239936, 0, -57372385750197213525743434754737307648, 0, 31580152287183092275531643040966901760, 0, -48207296264449167113083514491668267008, 0, 83679848214038949619770097196972638208, 0, -60790621958268685531932106019766796288, 0, 24465562420429611894106211103585337344, 0, -6609029606885233789240844916891844608, 0, 8428086912766798702425407237885263872, 0, -6179686291299384794572856485595840512, 0, 2421742995477364386905147453606985728, 0, -263243547386630836401024906573119488, 0, 74442774199647339354523465441869824, 0, -60322090300553368625527617179615232, 0, 28179199678046134984343605886320640, 0, -1940582936538770785388190008082432, 0, 136798606243261561669648218324992, 0, -151453716474669398321096876359680, 0, 101128910346509231199163418959872, 0, -2930705879005396798086127288320, 0, 98368042095053220847063924736, 0, -175279901139330021360625975296, 0, 148829763092901572663252221952, 0, -675207144223272122744471552, 0, 76161420680630185587376128, 0, -127644882444609886726946816, 0, 97730435006051340229771264, 0, 319509202366744187322368, 0, 44790401957334257106944, 0, -53890942806429690183680, 0, 31154758219850308288512, 0, 30804190068458569728, 0, 10608749434979483648, 0, -10653820966509010944, 0, 5054206908915765504, 0, -21649275756576768, 0, 913792720601088, 0, -845890156327936, 0, 401195370158080, 0, -3023489709568, 0, 22756098048, 0, -20464036352, 0, 14102444544, 0, -84445440, 0, 131072, 0, -113408, 0, 205312, 0, -512, 0, 0, 0, 0, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505042769937248, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 32, 7, 1, 8, 0], [1, 1, 96, 16, -1, 8, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '864.2.v.b', 'level': 864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '864.2.v.b', 'prim_orbit_index': 7, 'related_objects': [], 'relative_dim': 32, 'rm_discs': [], 'sato_tate_group': '1.2.3.c8', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '864.2.v', 'trace_display': [0, 0, 0, 0], 'traces': [128, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -80, 0, 0, 32, 0, 0, -32, 0, 0, 64, 0, 0, 48, 0, 0, 64, 0, 0, -96, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -80, 0, 0, 96, 0, 0, -48, 0, 0, 0, 0, 0, -192, 0, 0, 96, 0, 0, -144, 0, 0, 0, 0, 0, 32, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -144, 0, 0, -32, 0, 0, 64, 0, 0, 0, 0, 0, 32, 0, 0, -64, 0, 0, -304, 0, 0, 0, 0, 0, -64, 0, 0, 160, 0, 0, 64, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 112, 0, 0, -64, 0, 0, 80, 0, 0, 64, 0, 0, 32, 0, 0, 0, 0, 0, 224, 0, 0, 64, 0, 0, -48, 0, 0, -64, 0, 0, -64, 0, 0, 64, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 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label 864.2.v.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 3456, 'analytic_conductor': 6.899074734638625, 'char_conductor': 32, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 8, 'char_parity': 1, 'char_values': [864, 8, [703, 325, 353], [8, 7, 8]], 'conrey_index': 109, 'cusp_dim': 552, 'dim': 256, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 1443142566752, 'hecke_orbit_dims': [128, 128], 'label': '864.2.v', 'level': 864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 600, 'mf_new_dim': 256, 'num_forms': 2, 'prim_orbit_index': 7, 'relative_dim': 64, 'sturm_bound': 288, 'trace_bound': 10, 'trace_display': [0, 0, 0, 0], 'traces': [256, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, -32, 0, 0, 32, 0, 0, 32, 0, 0, -48, 0, 0, 128, 0, 0, -48, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -40, 0, 0, 48, 0, 0, -24, 0, 0, 0, 0, 0, -240, 0, 0, 48, 0, 0, 24, 0, 0, 0, 0, 0, 16, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -264, 0, 0, 32, 0, 0, 128, 0, 0, 0, 0, 0, -128, 0, 0, -128, 0, 0, -344, 0, 0, 0, 0, 0, -128, 0, 0, 80, 0, 0, -160, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 80, 0, 0, 64, 0, 0, -80, 0, 0, -64, 0, 0, -32, 0, 0, 0, 0, 0, -32, 0, 0, -64, 0, 0, -240, 0, 0, 64, 0, 0, 64, 0, 0, -64, 0, 0, 56, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 184, 0, 0, -32, 0, 0, 64, 0, 0, 128, 0, 0, 40, 0, 0, 0, 0, 0, 104, 0, 0, -96, 0, 0, 8, 0, 0, 256, 0, 0, 72, 0, 0, -224, 0, 0, 328, 0, 0, -64, 0, 0, 304, 0, 0, 0, 0, 0, 296, 0, 0, -64, 0, 0, 344, 0, 0, -432, 0, 0, 288, 0, 0, -256, 0, 0, 384, 0, 0, -384, 0, 0, 88, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 496, 0, 0, 0, 0, 0, 160, 0, 0, -256, 0, 0, -184, 0, 0, 0, 0, 0, 320, 0, 0, 96, 0, 0, 96, 0, 0, 0, 0, 0, -16, 0, 0, 96, 0, 0, 520, 0, 0, -32, 0, 0, -24, 0, 0, -336, 0, 0, -64, 0, 0, 64, 0, 0, 16, 0, 0, 0, 0, 0, -192, 0, 0, -96, 0, 0, -120, 0, 0, -32, 0, 0, 136, 0, 0, 0, 0, 0, -408, 0, 0, -96, 0, 0, 16, 0, 0, -96, 0, 0, 32, 0, 0, -80, 0, 0, -816, 0, 0, 64, 0, 0, 56, 0, 0, -160, 0, 0, -56, 0, 0, -288, 0, 0, -352, 0, 0, -96, 0, 0, 416, 0, 0, 0, 0, 0, -64, 0, 0, 32, 0, 0, -416, 0, 0, 128, 0, 0, 464, 0, 0, -16, 0, 0, -288, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, 0, -16, 0, 0, 96, 0, 0, -688, 0, 0, 512, 0, 0, -136, 0, 0, 0, 0, 0, 48, 0, 0, 80, 0, 0, -104, 0, 0, 0, 0, 0, 48, 0, 0, 144, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 112, 0, 0, 0, 0, 0, 72, 0, 0, 32, 0, 0, -288, 0, 0, 0, 0, 0, 872, 0, 0, 272, 0, 0, 272, 0, 0, -256, 0, 0, -24, 0, 0, 352, 0, 0, 672, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, 464, 0, 0, -256, 0, 0, 824, 0, 0, 224, 0, 0, -152, 0, 0, 0, 0, 0, 488, 0, 0, 192, 0, 0, 840, 0, 0, -256, 0, 0, 440, 0, 0, 448, 0, 0, 576, 0, 0, 64, 0, 0, 544, 0, 0, 512, 0, 0, -288, 0, 0, -384, 0, 0, 512, 0, 0, -16, 0, 0, 160, 0, 0, 0, 0, 0, -440, 0, 0, -64, 0, 0, 312, 0, 0, -160, 0, 0, -216, 0, 0, 112, 0, 0, -112, 0, 0, 128, 0, 0, 824, 0, 0, 0, 0, 0, -792, 0, 0, 256, 0, 0, -72, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, -320, 0, 0, 512, 0, 0, -536, 0, 0, -64, 0, 0, -472, 0, 0, 160, 0, 0, -512, 0, 0, 0, 0, 0, -232, 0, 0, 224, 0, 0, -584, 0, 0, 0, 0, 0, -592, 0, 0, 224, 0, 0, -624, 0, 0, 0, 0, 0, -832, 0, 0, -736, 0, 0, -240, 0, 0, -128, 0, 0, -72, 0, 0, 48, 0, 0, -992, 0, 0, -128, 0, 0, -168, 0, 0, 0, 0, 0, -24, 0, 0, -128, 0, 0, -984, 0, 0, -320, 0, 0, 24, 0, 0, 128, 0, 0, 48, 0, 0, -96, 0, 0, -728, 0, 0, -64, 0, 0, 448, 0, 0, -112, 0, 0, 88, 0, 0, -128, 0, 0, -192, 0, 0, -192, 0, 0, 232, 0, 0, 32, 0, 0, 8, 0, 0, 416, 0, 0, -464, 0, 0, 0, 0, 0, 688, 0, 0, -144, 0, 0, -216, 0, 0, 0, 0, 0, -128, 0, 0, -224, 0, 0, 1200, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 160, 0, 0, 128, 0, 0, 688, 0, 0, -128, 0, 0, -16, 0, 0, 0, 0, 0, 280, 0, 0, -80, 0, 0, 952, 0, 0, 96, 0, 0, -976, 0, 0, -256, 0, 0, 232, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 696, 0, 0, 16, 0, 0, 400, 0, 0, 0, 0, 0, -288, 0, 0, -144, 0, 0, 208, 0, 0, 160, 0, 0, -32, 0, 0, -784, 0, 0, -456, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, -640, 0, 0, 192, 0, 0, -216, 0, 0, -16, 0, 0, 336, 0, 0, 256, 0, 0, -1320, 0, 0, -400, 0, 0, -312, 0, 0, 96, 0, 0, -552, 0, 0, 416, 0, 0, -880, 0, 0, -128, 0, 0, -256, 0, 0, -288, 0, 0, -176, 0, 0, 160, 0, 0, -1784], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 541970
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 22, 'source_dim': 128, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '864.2.v.b', 'source_level': 864, 'target_char_orbit': 22, 'target_dim': 128, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '864.2.v.b', 'target_level': 864, 'twist_class_label': '864.2.v.b', 'twist_class_level': 864, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 541971
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 128, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '864.2.v.b', 'source_level': 864, 'target_char_orbit': 22, 'target_dim': 128, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '864.2.v.b', 'target_level': 864, 'twist_class_label': '864.2.v.b', 'twist_class_level': 864, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541972
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 128, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '864.2.v.b', 'source_level': 864, 'target_char_orbit': 22, 'target_dim': 128, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '864.2.v.b', 'target_level': 864, 'twist_class_label': '864.2.v.b', 'twist_class_level': 864, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 541973
{'conductor': 96, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 128, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '864.2.v.b', 'source_level': 864, 'target_char_orbit': 22, 'target_dim': 128, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '864.2.v.b', 'target_level': 864, 'twist_class_label': '864.2.v.b', 'twist_class_level': 864, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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hecke_orbit_code 4505042769937248 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 22, 'hecke_orbit': 2, 'label': '864.2.v.b', 'level': 864, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 96225000
{'hecke_orbit_code': 4505042769937248, 'n': 1, 'trace_an': 128}
-
id: 96225001
{'hecke_orbit_code': 4505042769937248, 'n': 2, 'trace_an': 0}
-
id: 96225002
{'hecke_orbit_code': 4505042769937248, 'n': 3, 'trace_an': 0}
-
id: 96225003
{'hecke_orbit_code': 4505042769937248, 'n': 4, 'trace_an': 0}
-
id: 96225004
{'hecke_orbit_code': 4505042769937248, 'n': 5, 'trace_an': 0}
-
id: 96225005
{'hecke_orbit_code': 4505042769937248, 'n': 6, 'trace_an': 0}
-
id: 96225006
{'hecke_orbit_code': 4505042769937248, 'n': 7, 'trace_an': 0}
-
id: 96225007
{'hecke_orbit_code': 4505042769937248, 'n': 8, 'trace_an': 0}
-
id: 96225008
{'hecke_orbit_code': 4505042769937248, 'n': 9, 'trace_an': 0}
-
id: 96225009
{'hecke_orbit_code': 4505042769937248, 'n': 10, 'trace_an': 16}
-
id: 96225010
{'hecke_orbit_code': 4505042769937248, 'n': 11, 'trace_an': 0}
-
id: 96225011
{'hecke_orbit_code': 4505042769937248, 'n': 12, 'trace_an': 0}
-
id: 96225012
{'hecke_orbit_code': 4505042769937248, 'n': 13, 'trace_an': 0}
-
id: 96225013
{'hecke_orbit_code': 4505042769937248, 'n': 14, 'trace_an': 0}
-
id: 96225014
{'hecke_orbit_code': 4505042769937248, 'n': 15, 'trace_an': 0}
-
id: 96225015
{'hecke_orbit_code': 4505042769937248, 'n': 16, 'trace_an': -32}
-
id: 96225016
{'hecke_orbit_code': 4505042769937248, 'n': 17, 'trace_an': 0}
-
id: 96225017
{'hecke_orbit_code': 4505042769937248, 'n': 18, 'trace_an': 0}
-
id: 96225018
{'hecke_orbit_code': 4505042769937248, 'n': 19, 'trace_an': 0}
-
id: 96225019
{'hecke_orbit_code': 4505042769937248, 'n': 20, 'trace_an': 0}
-
id: 96225020
{'hecke_orbit_code': 4505042769937248, 'n': 21, 'trace_an': 0}
-
id: 96225021
{'hecke_orbit_code': 4505042769937248, 'n': 22, 'trace_an': -16}
-
id: 96225022
{'hecke_orbit_code': 4505042769937248, 'n': 23, 'trace_an': 0}
-
id: 96225023
{'hecke_orbit_code': 4505042769937248, 'n': 24, 'trace_an': 0}
-
id: 96225024
{'hecke_orbit_code': 4505042769937248, 'n': 25, 'trace_an': 0}
-
id: 96225025
{'hecke_orbit_code': 4505042769937248, 'n': 26, 'trace_an': 0}
-
id: 96225026
{'hecke_orbit_code': 4505042769937248, 'n': 27, 'trace_an': 0}
-
id: 96225027
{'hecke_orbit_code': 4505042769937248, 'n': 28, 'trace_an': 0}
-
id: 96225028
{'hecke_orbit_code': 4505042769937248, 'n': 29, 'trace_an': 0}
-
id: 96225029
{'hecke_orbit_code': 4505042769937248, 'n': 30, 'trace_an': 0}
-
id: 96225030
{'hecke_orbit_code': 4505042769937248, 'n': 31, 'trace_an': 0}
-
id: 96225031
{'hecke_orbit_code': 4505042769937248, 'n': 32, 'trace_an': 0}
-
id: 96225032
{'hecke_orbit_code': 4505042769937248, 'n': 33, 'trace_an': 0}
-
id: 96225033
{'hecke_orbit_code': 4505042769937248, 'n': 34, 'trace_an': 0}
-
id: 96225034
{'hecke_orbit_code': 4505042769937248, 'n': 35, 'trace_an': 0}
-
id: 96225035
{'hecke_orbit_code': 4505042769937248, 'n': 36, 'trace_an': 0}
-
id: 96225036
{'hecke_orbit_code': 4505042769937248, 'n': 37, 'trace_an': 0}
-
id: 96225037
{'hecke_orbit_code': 4505042769937248, 'n': 38, 'trace_an': 0}
-
id: 96225038
{'hecke_orbit_code': 4505042769937248, 'n': 39, 'trace_an': 0}
-
id: 96225039
{'hecke_orbit_code': 4505042769937248, 'n': 40, 'trace_an': -32}
-
id: 96225040
{'hecke_orbit_code': 4505042769937248, 'n': 41, 'trace_an': 0}
-
id: 96225041
{'hecke_orbit_code': 4505042769937248, 'n': 42, 'trace_an': 0}
-
id: 96225042
{'hecke_orbit_code': 4505042769937248, 'n': 43, 'trace_an': 0}
-
id: 96225043
{'hecke_orbit_code': 4505042769937248, 'n': 44, 'trace_an': 0}
-
id: 96225044
{'hecke_orbit_code': 4505042769937248, 'n': 45, 'trace_an': 0}
-
id: 96225045
{'hecke_orbit_code': 4505042769937248, 'n': 46, 'trace_an': -32}
-
id: 96225046
{'hecke_orbit_code': 4505042769937248, 'n': 47, 'trace_an': 0}
-
id: 96225047
{'hecke_orbit_code': 4505042769937248, 'n': 48, 'trace_an': 0}
-
id: 96225048
{'hecke_orbit_code': 4505042769937248, 'n': 49, 'trace_an': 0}
-
id: 96225049
{'hecke_orbit_code': 4505042769937248, 'n': 50, 'trace_an': 0}
-
id: 96225050
{'hecke_orbit_code': 4505042769937248, 'n': 51, 'trace_an': 0}
-
id: 96225051
{'hecke_orbit_code': 4505042769937248, 'n': 52, 'trace_an': -80}
-
id: 96225052
{'hecke_orbit_code': 4505042769937248, 'n': 53, 'trace_an': 0}
-
id: 96225053
{'hecke_orbit_code': 4505042769937248, 'n': 54, 'trace_an': 0}
-
id: 96225054
{'hecke_orbit_code': 4505042769937248, 'n': 55, 'trace_an': 32}
-
id: 96225055
{'hecke_orbit_code': 4505042769937248, 'n': 56, 'trace_an': 0}
-
id: 96225056
{'hecke_orbit_code': 4505042769937248, 'n': 57, 'trace_an': 0}
-
id: 96225057
{'hecke_orbit_code': 4505042769937248, 'n': 58, 'trace_an': -32}
-
id: 96225058
{'hecke_orbit_code': 4505042769937248, 'n': 59, 'trace_an': 0}
-
id: 96225059
{'hecke_orbit_code': 4505042769937248, 'n': 60, 'trace_an': 0}
-
id: 96225060
{'hecke_orbit_code': 4505042769937248, 'n': 61, 'trace_an': 64}
-
id: 96225061
{'hecke_orbit_code': 4505042769937248, 'n': 62, 'trace_an': 0}
-
id: 96225062
{'hecke_orbit_code': 4505042769937248, 'n': 63, 'trace_an': 0}
-
id: 96225063
{'hecke_orbit_code': 4505042769937248, 'n': 64, 'trace_an': 48}
-
id: 96225064
{'hecke_orbit_code': 4505042769937248, 'n': 65, 'trace_an': 0}
-
id: 96225065
{'hecke_orbit_code': 4505042769937248, 'n': 66, 'trace_an': 0}
-
id: 96225066
{'hecke_orbit_code': 4505042769937248, 'n': 67, 'trace_an': 64}
-
id: 96225067
{'hecke_orbit_code': 4505042769937248, 'n': 68, 'trace_an': 0}
-
id: 96225068
{'hecke_orbit_code': 4505042769937248, 'n': 69, 'trace_an': 0}
-
id: 96225069
{'hecke_orbit_code': 4505042769937248, 'n': 70, 'trace_an': -96}
-
id: 96225070
{'hecke_orbit_code': 4505042769937248, 'n': 71, 'trace_an': 0}
-
id: 96225071
{'hecke_orbit_code': 4505042769937248, 'n': 72, 'trace_an': 0}
-
id: 96225072
{'hecke_orbit_code': 4505042769937248, 'n': 73, 'trace_an': 0}
-
id: 96225073
{'hecke_orbit_code': 4505042769937248, 'n': 74, 'trace_an': 0}
-
id: 96225074
{'hecke_orbit_code': 4505042769937248, 'n': 75, 'trace_an': 0}
-
id: 96225075
{'hecke_orbit_code': 4505042769937248, 'n': 76, 'trace_an': 32}
-
id: 96225076
{'hecke_orbit_code': 4505042769937248, 'n': 77, 'trace_an': 0}
-
id: 96225077
{'hecke_orbit_code': 4505042769937248, 'n': 78, 'trace_an': 0}
-
id: 96225078
{'hecke_orbit_code': 4505042769937248, 'n': 79, 'trace_an': 0}
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