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mf_newforms • Show schema
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{'Nk2': 1664, 'analytic_conductor': 8.122010662587165, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [26, 3, [15], [1]], 'cm_discs': [], 'conrey_index': 3, 'dim': 8, 'field_disc': 623592684553781082458005017201, 'field_disc_factorization': [[3, 4], [37, 2], [2371407954947, 2]], 'field_poly': [637953638400, 0, 3763719168, 0, 7012369, 0, 4654, 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': [[3, [51674244710400, 254644715520, 51437638656, -247294944, 41545881, -70848, 6981, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737200541722, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 192, 'hecke_ring_index_factorization': [[2, 6], [3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '26.8.c.b', 'level': 26, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 13], 'level_radical': 26, 'minimal_twist': '26.8.c.b', 'prim_orbit_index': 3, 'qexp_display': 'q-8\\beta _{1}q^{2}+\\beta _{3}q^{3}+(-2^{6}-2^{6}\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '26.8.c', 'trace_display': [32, 0, 556, -548], 'trace_hash': 788733532056049465, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
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-
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{'Nk2': 1664, 'analytic_conductor': 8.122010662587165, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [26, 3, [15], [1]], 'conrey_index': 3, 'cusp_dim': 46, 'dim': 14, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137573171226, 'hecke_orbit_dims': [6, 8], 'label': '26.8.c', 'level': 26, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 13], 'level_radical': 26, 'mf_dim': 54, 'mf_new_dim': 14, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 7, 'sturm_bound': 28, 'trace_bound': 1, 'trace_display': [8, 0, -110, 612], 'traces': [14, 8, 0, -448, -110, 0, 612, -1024, -3335, 4888, -11620, 0, -33319, -27328, 3104, -28672, 21579, -113488, -97536, 3520, 345416, 25312, 2572, 0, 339264, -211640, 133920, 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mf_twists_nf • Show schema
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id: 21434
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '26.8.c.b', 'source_level': 26, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '26.8.c.b', 'target_level': 26, 'twist_class_label': '26.8.c.b', 'twist_class_level': 26, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 21435
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '26.8.c.b', 'source_level': 26, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '26.8.c.b', 'target_level': 26, 'twist_class_label': '26.8.c.b', 'twist_class_level': 26, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 21436
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '26.8.c.b', 'source_level': 26, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '208.8.i.b', 'target_level': 208, 'twist_class_label': '26.8.c.b', 'twist_class_level': 26, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 21437
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '26.8.c.b', 'source_level': 26, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '208.8.i.b', 'target_level': 208, 'twist_class_label': '26.8.c.b', 'twist_class_level': 26, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 8}
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id: 21438
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '26.8.c.b', 'source_level': 26, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '234.8.h.b', 'target_level': 234, 'twist_class_label': '26.8.c.b', 'twist_class_level': 26, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 21439
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '26.8.c.b', 'source_level': 26, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '234.8.h.b', 'target_level': 234, 'twist_class_label': '26.8.c.b', 'twist_class_level': 26, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 8}
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id: 21440
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '26.8.c.b', 'source_level': 26, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '338.8.a.i', 'target_level': 338, 'twist_class_label': '26.8.c.b', 'twist_class_level': 26, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 21441
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '26.8.c.b', 'source_level': 26, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '338.8.a.j', 'target_level': 338, 'twist_class_label': '26.8.c.b', 'twist_class_level': 26, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 8}
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id: 21442
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '26.8.c.b', 'source_level': 26, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '338.8.b.h', 'target_level': 338, 'twist_class_label': '26.8.c.b', 'twist_class_level': 26, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 100400
{'charpoly_factorization': [[[64, -8, 1], 4]], 'hecke_orbit_code': 4503737200541722, 'p': 2}
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id: 100401
{'charpoly_factorization': [[[51674244710400, 254644715520, 51437638656, -247294944, 41545881, -70848, 6981, 0, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 3}
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id: 100402
{'charpoly_factorization': [[[1223288100, 14695460, -161047, -278, 1], 2]], 'hecke_orbit_code': 4503737200541722, 'p': 5}
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id: 100403
{'charpoly_factorization': [[[158325765218468072761600, -138768546778303239040, 860066248350044656, 211123021512232, 3237329872481, -319494836, 2156137, 548, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 7}
-
id: 100404
{'charpoly_factorization': [[[289718572183543401616763136, -1189904953869188863522944, 5028193702711645222576, 327985988938363896, 568481585289177, 78525632848, 62932989, 7392, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 11}
-
id: 100405
{'charpoly_factorization': [[[15502932802662396215269535105521, 6378712011618342238842534834, 731860453859947897663373, -65719036412945354166, -22126099927900332, -1047340073598, 185875157, 25818, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 13}
-
id: 100406
{'charpoly_factorization': [[[3558035464367798342122742985068241, -707545199659030399323269594892, 124211422567724610113670690, -6657207621240828792240, 471949877835194859, -15895635746160, 1078243090, -28316, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 17}
-
id: 100407
{'charpoly_factorization': [[[164045161547528157672364163727360000, -2238885291021401206290382848000, 1135018443939417221780275200, 95987931561779228317440, 7288847798040542089, 261328995333264, 7250713021, 99888, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 19}
-
id: 100408
{'charpoly_factorization': [[[64309871131446688207363756530370734336, -580846048198212062593122155607168, 78400204944968287492111605744, 125226526030359404738136, 77613398281348763617, -159710576592476, 10236952809, 33388, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 23}
-
id: 100409
{'charpoly_factorization': [[[65003200660687042770801404063272778588769, 535594192967444187048699404113630668, 13259788377638956954650862496730, -25399464109529801521510608, 1144723374331555433251, -969579806575952, 43374042618, -93140, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 29}
-
id: 100410
{'charpoly_factorization': [[[10826670521778761728, -1097320177155840, 30594196816, -311160, 1], 2]], 'hecke_orbit_code': 4503737200541722, 'p': 31}
-
id: 100411
{'charpoly_factorization': [[[2733895335933976510046271689274569841, 1432264137263755387936951314313620, 718711680089182958408540315826, 16607327979063290582831568, 376157108499825237595, 1548068841312144, 19228073602, 9636, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 37}
-
id: 100412
{'charpoly_factorization': [[[7561943203197074537489195988511840509606225, 130696622041941468773435561398782702660, 1637165639330274375321766728780546, 10289686280641753115256851088, 49927070317433470007211, 113796669231252432, 232961431666, -82892, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 41}
-
id: 100413
{'charpoly_factorization': [[[19701102333213644863231498946682342381162496, 402605015916881904039238050202142618624, 6400408590045697263188829843309760, 42391257972164263207504526416, 225519303521393777280809, -52919195313466064, 735698842285, 569264, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 43}
-
id: 100414
{'charpoly_factorization': [[[87928744118119307440128, -32382746130692608, -844716634752, 574200, 1], 2]], 'hecke_orbit_code': 4503737200541722, 'p': 47}
-
id: 100415
{'charpoly_factorization': [[[1027560028805596539292932, 1044554447397292020, -2014607986887, -1235350, 1], 2]], 'hecke_orbit_code': 4503737200541722, 'p': 53}
-
id: 100416
{'charpoly_factorization': [[[87701789508868790849890781704611581002030482372864, 9861520003246435283107926711164459698960512, 71759696081831917944482010513469406128, -3608211321932185893108277203192, 47793769676097195773088489, -359542756215697312, 7597791408645, -231504, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 59}
-
id: 100417
{'charpoly_factorization': [[[3623216091429469756993710089825762360360738102037025, 340542486604250733547282246558674783745983980, 967079286407722895740824102323102027386, -5339524497872409731708342680400, 185007533930035418015046851, -663215582530386128, 16004686569946, -685684, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 61}
-
id: 100418
{'charpoly_factorization': [[[16694539374784568280884947109698169235351152896, -41613576360052208791788750678393093032064, 251902487463420538223238696946543280, -475942201922976695644610785032, 2497853273225562255871641, -4395372866213511168, 9553010570525, -3271056, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 67}
-
id: 100419
{'charpoly_factorization': [[[581812223106410907691766688329197219788422663737344, 65546596876993426569462545159855567506455552, 343702031533338486151493254738715586496, -46332180563017313624021995519952, 169812617491174461712132289, -7875067743687289028, 13973691446129, 175012, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 71}
-
id: 100420
{'charpoly_factorization': [[[-21425675574457987689091340, 19843813129426634812, 4799979816117, -7137890, 1], 2]], 'hecke_orbit_code': 4503737200541722, 'p': 73}
-
id: 100421
{'charpoly_factorization': [[[46714127885196996709854208, -37946078389247195264, -13799242194096, 7053952, 1], 2]], 'hecke_orbit_code': 4503737200541722, 'p': 79}
-
id: 100422
{'charpoly_factorization': [[[-67989302689771818477158400, 137212918633157971968, -49816293137712, -657288, 1], 2]], 'hecke_orbit_code': 4503737200541722, 'p': 83}
-
id: 100423
{'charpoly_factorization': [[[27694489378061763203718104687863217999337817318695787536, 8459496441489961211601189016704534515624143585584, 2104619989938381319903415088848018649615996, 266972101357429830920320530999000108, 31970404566976634600903240157, 2171721746555680989978, 222249857584831, 11452234, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 89}
-
id: 100424
{'charpoly_factorization': [[[23452278293784348272783849182345652164529282362384, 357841315230280593009078599905355196007927792, 5751704764977783854914776543543870056476, -4454427585336664692993122205531652, 3590795337732551647712597069, -173561362696051528798, 60409957633639, 428002, 1], 1]], 'hecke_orbit_code': 4503737200541722, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '26.8.c.b', 'level': 26, 'portrait': 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', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 21258661
{'hecke_orbit_code': 4503737200541722, 'n': 1, 'trace_an': 8}
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id: 21258662
{'hecke_orbit_code': 4503737200541722, 'n': 2, 'trace_an': 32}
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id: 21258663
{'hecke_orbit_code': 4503737200541722, 'n': 3, 'trace_an': 0}
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id: 21258664
{'hecke_orbit_code': 4503737200541722, 'n': 4, 'trace_an': -256}
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id: 21258665
{'hecke_orbit_code': 4503737200541722, 'n': 5, 'trace_an': 556}
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id: 21258666
{'hecke_orbit_code': 4503737200541722, 'n': 6, 'trace_an': 0}
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id: 21258667
{'hecke_orbit_code': 4503737200541722, 'n': 7, 'trace_an': -548}
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id: 21258668
{'hecke_orbit_code': 4503737200541722, 'n': 8, 'trace_an': -4096}
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