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mf_newforms • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'cm_discs': [], 'conrey_index': 148, 'conrey_indexes': [148, 323, 372, 729], 'dim': 16, 'field_disc': 19573955532720947265625, 'field_disc_factorization': [[5, 14], [1790809, 2]], 'field_poly': [25, -200, 700, -925, 1850, -2300, 2135, -1175, 640, -245, 245, -145, 86, -32, 14, -3, 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': [[2, [25, 50, 450, -325, 275, 200, 1085, 975, 840, 385, 265, 70, 31, 3, 4, 2, 1]], [3, [256, -1408, 3584, -2464, 32304, 11160, 18112, 10062, 6213, 1762, 682, 120, 104, 26, 9, 2, 1]], [13, [188897536, 159320448, 99691904, 52221664, 27560624, 10037080, 3693312, 1416018, 648843, 254273, 84482, 21415, 4689, 829, 124, 13, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575935805719375, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 5, 'hecke_ring_index_factorization': [[5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '847.2.f.v', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'minimal_twist': '77.2.f.b', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{6}q^{2}+(-\\beta _{10}+\\beta _{11}-\\beta _{14}-\\beta _{15})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, -1, 0, 1, -1, 0, 2, 0, 0, 0, 0, 1], [1, 0, 1, 1, 1, -1, 0, 0, -1, 1, 2, 0, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, -1, -1, -1, -1, 1, 0, 1, 0, 0, 0, 1, -1, -1], [-1, 0, -1, 0, 0, 0, 0, 0, 0, 1, -2, -1, 1, 0, 0, -1], [-1, -2, 1, -1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, -1, 0, 1, 1, -1, 0, 0, -1, 1, 0, 0, 0], [-1, 1, 1, 0, 0, -1, 0, 0, -2, 0, 1, 0, -1, -1, 0, 0], [0, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 2, -1, 1, 1, 1, 1, 0, 2, 0, -2, -1, -1, 1], [0, 0, 1, 0, -1, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 0], [-2, 0, 0, -1, -1, -1, 0, 2, -1, 0, 0, 0, 0, 0, -1, -1], [0, 2, 0, 0, -2, 0, 0, 1, 0, 1, 0, 0, 1, 1, -1, -1], [2, -1, 1, 1, 1, 1, 0, -3, 0, 1, -1, 0, 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-17, -1, 1, 15, 0, -15, -14, 14, 0, 0, -5, 5, 0, 0, 0], [-10, 1, -2, 5, 2, 2, 3, 11, 0, -2, 11, 5, 0, -5, 3, 3], [0, 5, 0, -8, -5, 2, 2, -2, 5, 1, 2, 0, -7, -4, 12, 4], [-8, 0, 7, -11, -9, -2, 0, 15, 1, 8, -12, -1, -8, 0, -2, -11], [7, -2, 1, 0, 0, 2, -6, 0, 6, -10, 3, 10, -1, -13, 0, -7], [15, 0, 19, -4, -9, 1, 0, 4, -8, 18, 4, 1, -18, 0, -12, -4], [0, 0, -4, 7, 3, -5, 0, -4, -15, -2, 22, -2, 2, 0, 1, 7], [3, -3, 15, 0, 0, 3, 10, 0, -12, 0, 19, 0, -15, -13, 0, 4], [10, 0, 5, -1, -7, 6, 0, -5, 18, 0, -19, 5, 0, 0, -2, -1], [17, -4, 1, 3, 8, 0, -8, -12, 12, 0, 0, 0, 0, -2, -2, 0], [0, 6, 0, -4, -6, 4, 4, -19, 26, 3, -26, 0, 4, 7, -3, -7], [11, 25, 5, -12, -6, 0, 6, 2, -2, 0, 0, 4, -4, 6, 6, 0], [-12, -9, -9, 13, 9, 9, 0, -17, 0, -9, 12, -1, 0, -13, 9, 9], [2, 0, 5, 0, 0, 0, 2, 0, -3, 0, -25, 0, -5, -3, 0, 7], [0, 13, 0, -20, -13, 0, 0, 6, -1, -3, -2, 0, 3, 8, 12, -8], [17, 12, -3, 9, 2, 0, -2, -2, 2, 0, 0, 10, -10, 2, 2, 0], [0, 7, 0, -12, -7, -2, -2, -8, -17, -13, -8, 0, 3, 0, 12, 0]], 'char_orbit_index': 6, 'field_poly': [25, -200, 700, -925, 1850, -2300, 2135, -1175, 640, -245, 245, -145, 86, -32, 14, -3, 1], 'hecke_orbit_code': 94575935805719375, 'hecke_ring_character_values': [[122, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [365, [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 227290237815076880, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 1, 0, 0, 0, 0, 3, -2, 0, 2, 1, 0, 0, 0, 0], [0, 1, -1, 0, 0, -1, -5, 0, 1, 0, -1, 0, 1, 1, 0, -1], [1, -1, -6, 0, 1, 1, 0, -15, 0, -6, -8, -1, 0, 0, -1, -1], [-3, -18, 8, -1, -10, 0, 10, 8, -8, 0, 0, 7, -7, -7, -7, 0], [0, 2, 0, 6, -2, -10, -10, 47, 40, 35, 54, 0, 11, -7, 1, 7], [28, 0, -58, 42, 165, 76, 0, -86, 30, -13, 12, -45, 13, 0, 54, 42], [-98, -28, 210, 0, 0, 28, 80, 0, -308, -89, -234, 89, -210, 38, 0, -9], [-94, 476, 290, -248, -1000, -1000, -524, 614, 0, 290, 38, 117, 0, 248, -346, -346], [1406, 328, -1931, -131, 272, 0, -272, -1992, 1992, 0, 0, -1290, 1290, -56, -56, 0], [0, -3461, 0, 697, 3461, 6160, 6160, -2621, -1625, -1890, -447, 0, -913, -2174, 1477, 2174], [-8669, 0, 12424, 284, -4375, -2273, 0, 21093, -8295, 4374, 8579, 8050, -4374, 0, 848, 284], [5394, 22394, -12425, 0, 0, -22394, -38325, 0, 17819, 6647, 2237, -6647, 12425, 13556, 0, -8898], [31232, -13793, -50750, -1131, 31350, 31350, 17557, -133987, 0, -50750, -85364, -29041, 0, 1131, -3382, -3382], [-67213, -96554, 128698, -30172, -143446, 0, 143446, 120596, -120596, 0, 0, 82100, -82100, -54132, -54132, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [88528161377575350, 120133073008741205, -434474896057227745, 546963632352958070, -560336279122558890, 100524107363786610, -160665000409949210, 30869277708222543, -65098048812157320, 25956864481307657, -20835947263746904, 4494612950061958, -3234633146529285, 154302737507927, -215936836813390, -33722118880975], [-1569079812936964435, 1164454349991851775, -4265354995237286060, 5505326380247646890, -5164313069616781590, 2313198962618101340, -1226946693965489055, 274072637813433960, -592228758909440833, 292393929070812298, -179218800902324756, 45808084826141647, -24553779304461089, 444742620384542, -1360333162376645, -686277383720070], [-928639412535219835, 368306587037923705, -1173049633586345730, 1021707328353270230, -2070346335621533450, 395306407846606840, -583922916320059255, -292096370375405502, -248365491806816213, 41469078152400808, -69609203132183412, -9687442744709873, -8597109141630243, -5527222230184928, -514706296938285, -874936745197272], [95214593589332550, -739274040704445675, 366777001484809055, -1979053855141622330, 2957115228664641670, -3159142418183242750, 1770758763681867190, -887685879699924177, 312652728515985000, -347621794857624183, 214474805906670840, -129795369286809034, 49577176484430299, -21672367495495401, 4832412997019746, -1565624412275039], [-189874590198959025, 1479871527393288525, -1476295694818421740, 3585858111334770990, -4085868252644216690, 3769863137668677300, -2030901870569891045, 1101433166283370416, -436889234085257675, 433123005758956374, -254981761232364844, 149577475159066613, -55793399026072099, 23996414540642882, -5194753922189191, 1676337845170790], [189874590198959025, -1025291051763134765, 1476295694818421740, -3585858111334770990, 4085868252644216690, -3769863137668677300, 2030901870569891045, -1101433166283370416, 436889234085257675, -433123005758956374, 254981761232364844, -149577475159066613, 55793399026072099, -23996414540642882, 5194753922189191, -1676337845170790], [828358364029344005, -2913263414629337545, 3822505603323246020, -7111420221063134790, 8245114954100718810, -7720969982054884100, 4191692862454263993, -2331418980078086280, 893532845981546087, -888411928763985334, 517957948939998988, -307771508285388489, 113470349300804375, -49791707208255586, 10589657246428067, -3541126455103014], [22442708010214725, -2299231619016502345, 1543886107663682020, -4088764696945967030, 5600600192035351850, -6360567528847132580, 3587400018998705673, -2124840867370928280, 585481222317834807, -718628211268788150, 422449273531319756, -277961025462873673, 100202312298850263, -48487759413006482, 9860126818444867, -3808583743573302], [-29045982804284875, 2975718288695695725, -1335895153189756830, 2767110524781279550, -3712550967753264370, 5535211606668989440, -3112048315103081495, 2150910817199786310, -381247122554708893, 623455379026927044, -349871456206210068, 262233539631762351, -88958591156351927, 48642002600512068, -9098179878471885, 4147870816217860], [-845040850217512955, 4454224626365266160, -5718121221686276935, 12987506946195918920, -16343113922700919960, 15544790585628961210, -8426965416523262079, 4630478387715251365, -1735699601854553351, 1775572940212630785, -1047203823403574964, 627185674080861763, -232311097915978782, 102438964384476967, -21838143406687493, 7327526319488073], [864066394282347650, -2965788298433688075, 3888216659798809835, -9161804501671007210, 12158198218393584390, -11480502622702818310, 6340299488823316290, -3395227103875767205, 1276995934654789444, -1307780222870847083, 782325573976058616, -466393479528723526, 174584775915853027, -76461534295292341, 16493950936678582, -5481281688546819], [59418569180970775, -5226852994856502950, 5270338292583504165, -15299497235328621900, 21003963276182506660, -21771993760224740470, 11856118418058363915, -6793193349504836855, 2179375478325730279, -2469198487594261567, 1456783386223745044, -918061503999498391, 335017774059801892, -155422622027191961, 32209452556198329, -11668286039317543], [1667167131638041055, -8819030598088243120, 11522918100224582795, -24876887445936951080, 32902654497697219800, -31784433905471092610, 17797250626139187779, -9848220683260194529, 3462410165728884427, -3646287371621077981, 2171662124721910708, -1324081568271118439, 490255203026234886, -220693813391828059, 46657645630438849, -16296167766296901], [-1025213227739747135, 7973236770827366535, -8417551544734639360, 20842243045981534410, -29120858031490839590, 30431971572347844100, -16816185325336642299, 9585093068819660548, -3032211154151816061, 3445236405584454006, -2038073676823909444, 1289205279920317419, -470575312000685073, 219284175557671186, -45453688208119129, 16576781827677814], [3492178872565443195, -18197077383887239845, 21980961042064417270, -48322167102593217550, 64110835668533354210, -62595008084751532400, 34610408690995495111, -19234203982822940782, 6742540241983255677, -7143632052250437628, 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mf_newspaces • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'conrey_index': 148, 'cusp_dim': 304, 'dim': 216, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 13], 'hecke_orbit_code': 343630938959, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 12, 12, 16, 16, 16, 24, 24], 'label': '847.2.f', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 400, 'mf_new_dim': 216, 'num_forms': 26, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 176, 'trace_bound': 7, 'trace_display': [4, 8, 4, 2], 'traces': [216, 4, 8, -52, 4, -6, 2, 2, -44, 16, 0, -36, 2, -3, 22, -74, 16, -15, -10, -14, -12, 0, -40, 14, -66, 10, 26, -11, 6, -12, 28, 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12, 0, -1004, -98, 322, 370, -177, -184, -20, 110, 421, 284, 0, -28, -164, 196, -152, 8, -32, 142, -40, -156, 36, 0, -486, 132, 176, 6, 16, 30, -54, 176, 246, 268, 0, 32, 251, 16, 0, 394, 224, -10, -12, -36, 104, 0, 1108, 168, 181, 34, 404, 100, 154, 16, 398, 8, 0, 208, -40, 368, 376, 540, 12, 194, -165, 96, 114, 0, -1572, 92, 144, 214, 102, 220, -134, 224, 140, 236, 0, 2272, 394, -10, -344, 68, 161, -158, 174, -334, -648, 0, -44, 30, 112, 66, -238, -332, -174, 76, 550, 40, 0, -80, -74, -256, -7, 242, -108, 32, -91, 130, -236], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 534635
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '77.2.f.b', 'target_level': 77, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534636
{'conductor': 77, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '539.2.f.e', 'target_level': 539, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '77.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 534637
{'conductor': 77, 'degree': 8, 'multiplicity': 4, 'order': 30, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 17, 'target_dim': 32, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '539.2.q.f', 'target_level': 539, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '77.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 534638
{'conductor': 77, 'degree': 8, 'multiplicity': 4, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 17, 'target_dim': 32, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '539.2.q.g', 'target_level': 539, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '77.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 534639
{'conductor': 33, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '693.2.m.i', 'target_level': 693, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 534640
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '847.2.a.o', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534641
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '847.2.a.p', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534642
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '847.2.f.v', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 534643
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '847.2.f.v', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534644
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '847.2.f.w', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 534645
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '847.2.f.w', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534646
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '847.2.f.x', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534647
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '5929.2.a.bs', 'target_level': 5929, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '77.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 534648
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '5929.2.a.bt', 'target_level': 5929, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '77.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 534649
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 72, 'target_is_minimal': False, 'target_label': '7623.2.a.ct', 'target_level': 7623, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 534650
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '847.2.f.v', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 75, 'target_is_minimal': False, 'target_label': '7623.2.a.cw', 'target_level': 7623, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1404850
{'charpoly_factorization': [[[25, 50, 450, -325, 275, 200, 1085, 975, 840, 385, 265, 70, 31, 3, 4, 2, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 2}
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id: 1404851
{'charpoly_factorization': [[[256, -1408, 3584, -2464, 32304, 11160, 18112, 10062, 6213, 1762, 682, 120, 104, 26, 9, 2, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 3}
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id: 1404852
{'charpoly_factorization': [[[256, 6272, 362496, 552096, 376176, 106216, 46896, 37606, 30811, 15831, 6954, 2207, 729, 169, 34, 5, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 5}
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id: 1404853
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 4]], 'hecke_orbit_code': 94575935805719375, 'p': 7}
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id: 1404854
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 94575935805719375, 'p': 11}
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id: 1404855
{'charpoly_factorization': [[[188897536, 159320448, 99691904, 52221664, 27560624, 10037080, 3693312, 1416018, 648843, 254273, 84482, 21415, 4689, 829, 124, 13, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 13}
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id: 1404856
{'charpoly_factorization': [[[2611456, 2805376, 4713664, 4477152, 4294016, 3113528, 2089084, 1124282, 544161, 196528, 56981, 9514, 529, -38, 31, 10, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 17}
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id: 1404857
{'charpoly_factorization': [[[62726400, -181526400, 257823360, -228926880, 144529936, -69793304, 27430944, -8892650, 2420825, -515974, 82511, -7576, 1735, -180, 79, -6, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 19}
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id: 1404858
{'charpoly_factorization': [[[859, 1310, -1702, -3298, -765, 342, 40, -16, 1], 2]], 'hecke_orbit_code': 94575935805719375, 'p': 23}
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id: 1404859
{'charpoly_factorization': [[[245025, 1195425, 2152935, -2136255, 10325086, -8590347, 10666126, -4586485, 2739845, -291482, 82209, -17502, 1575, 85, 46, -12, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 29}
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id: 1404860
{'charpoly_factorization': [[[2629638400, -4369056000, 6678904000, -3939299200, 923054000, 362769600, 183376060, 941940, 20979965, -537645, 453895, -14565, 5656, 113, 49, 2, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 31}
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id: 1404861
{'charpoly_factorization': [[[212521, 1975385, 8056341, 15043572, 14369799, 6004474, 5541351, -118072, 1366346, -265048, 91469, -6537, 3181, 157, 74, 11, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 37}
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id: 1404862
{'charpoly_factorization': [[[13424896, -24270336, 145441344, 5767168, 123130896, 107904512, 56903044, 18483208, 8667241, 1989792, 306136, 20556, 1414, 448, 171, 20, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 41}
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id: 1404863
{'charpoly_factorization': [[[-971, 8740, -10617, -812, 2780, 268, -105, -4, 1], 2]], 'hecke_orbit_code': 94575935805719375, 'p': 43}
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id: 1404864
{'charpoly_factorization': [[[5345713926400, -1668766860800, 639124689600, -105139787200, 27128282800, -2446831600, 848585660, -4516400, 23983845, -780130, 611215, -16525, 4216, -33, 99, -7, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 47}
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id: 1404865
{'charpoly_factorization': [[[310840815961, 996202523641, 1408190413695, 882770812820, 387058458185, 123582397538, 31280399983, 6387066890, 1110854690, 162652570, 20809143, 2203443, 193845, 14345, 910, 41, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 53}
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id: 1404866
{'charpoly_factorization': [[[187142400, 67305600, 1063477440, -1600185120, 821562016, 403356008, 62108636, -21878830, 7204335, 1524973, 746999, 116463, 20940, 2385, 261, 18, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 59}
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id: 1404867
{'charpoly_factorization': [[[253446400, -103161600, 522622400, 95698400, 312424800, 170370200, 124541660, 41042490, 8347955, -1495425, 111525, 64265, 13666, 237, 49, -12, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 61}
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id: 1404868
{'charpoly_factorization': [[[-27395, -35255, 5380, 12660, -255, -1160, -16, 19, 1], 2]], 'hecke_orbit_code': 94575935805719375, 'p': 67}
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id: 1404869
{'charpoly_factorization': [[[379119841, -5241690555, 27738164236, -236031712, 8383803429, 1648735316, 1131319551, 198515522, 61336601, 8435708, 2319974, 19407, 36886, 363, -71, -1, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 71}
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id: 1404870
{'charpoly_factorization': [[[105069332736, 20164349952, 210356456256, -191870351904, 71355927136, 50019021976, 21402049956, 5961358986, 1325383791, 241767101, 36750549, 4541217, 446554, 33359, 1779, 60, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 73}
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id: 1404871
{'charpoly_factorization': [[[15858514175625, -7456312153125, 4384437555375, -2016821481000, 731879278525, -191728223750, 42142869675, -7384835000, 1114677650, -134845000, 12623435, -785875, 30685, -545, 110, -15, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 79}
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id: 1404872
{'charpoly_factorization': [[[756470016, 24423552, 68328576, 74312736, 368812816, 423580536, 324464696, 174952686, 70918251, 21734761, 5004829, 831987, 95574, 7179, 389, 20, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 83}
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id: 1404873
{'charpoly_factorization': [[[952400, -1415520, 512284, 45228, -34845, 2150, 320, -37, 1], 2]], 'hecke_orbit_code': 94575935805719375, 'p': 89}
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id: 1404874
{'charpoly_factorization': [[[4647025244416, 3624380307584, 2126850982464, 782136061408, 267254506816, 61267261592, 17527266444, 1796745888, 323731821, 38191377, 3805586, 214711, 49999, 6063, 636, 35, 1], 1]], 'hecke_orbit_code': 94575935805719375, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 22, 'label': '847.2.f.v', 'level': 847, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 253121000
{'hecke_orbit_code': 94575935805719375, 'n': 1, 'trace_an': 16}
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id: 253121001
{'hecke_orbit_code': 94575935805719375, 'n': 2, 'trace_an': -2}
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id: 253121002
{'hecke_orbit_code': 94575935805719375, 'n': 3, 'trace_an': -2}
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id: 253121003
{'hecke_orbit_code': 94575935805719375, 'n': 4, 'trace_an': 4}
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id: 253121004
{'hecke_orbit_code': 94575935805719375, 'n': 5, 'trace_an': -5}
-
id: 253121005
{'hecke_orbit_code': 94575935805719375, 'n': 6, 'trace_an': 2}
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id: 253121006
{'hecke_orbit_code': 94575935805719375, 'n': 7, 'trace_an': 4}
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id: 253121007
{'hecke_orbit_code': 94575935805719375, 'n': 8, 'trace_an': -5}
-
id: 253121008
{'hecke_orbit_code': 94575935805719375, 'n': 9, 'trace_an': -2}
-
id: 253121009
{'hecke_orbit_code': 94575935805719375, 'n': 10, 'trace_an': -12}
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id: 253121010
{'hecke_orbit_code': 94575935805719375, 'n': 11, 'trace_an': 0}
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id: 253121011
{'hecke_orbit_code': 94575935805719375, 'n': 12, 'trace_an': 18}
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id: 253121012
{'hecke_orbit_code': 94575935805719375, 'n': 13, 'trace_an': -13}
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id: 253121013
{'hecke_orbit_code': 94575935805719375, 'n': 14, 'trace_an': -3}
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id: 253121014
{'hecke_orbit_code': 94575935805719375, 'n': 15, 'trace_an': 7}
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id: 253121015
{'hecke_orbit_code': 94575935805719375, 'n': 16, 'trace_an': -18}
-
id: 253121016
{'hecke_orbit_code': 94575935805719375, 'n': 17, 'trace_an': -10}
-
id: 253121017
{'hecke_orbit_code': 94575935805719375, 'n': 18, 'trace_an': 19}
-
id: 253121018
{'hecke_orbit_code': 94575935805719375, 'n': 19, 'trace_an': 6}
-
id: 253121019
{'hecke_orbit_code': 94575935805719375, 'n': 20, 'trace_an': -24}
-
id: 253121020
{'hecke_orbit_code': 94575935805719375, 'n': 21, 'trace_an': -8}
-
id: 253121021
{'hecke_orbit_code': 94575935805719375, 'n': 22, 'trace_an': 0}
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id: 253121022
{'hecke_orbit_code': 94575935805719375, 'n': 23, 'trace_an': 32}
-
id: 253121023
{'hecke_orbit_code': 94575935805719375, 'n': 24, 'trace_an': -45}
-
id: 253121024
{'hecke_orbit_code': 94575935805719375, 'n': 25, 'trace_an': -23}
-
id: 253121025
{'hecke_orbit_code': 94575935805719375, 'n': 26, 'trace_an': 33}
-
id: 253121026
{'hecke_orbit_code': 94575935805719375, 'n': 27, 'trace_an': -20}
-
id: 253121027
{'hecke_orbit_code': 94575935805719375, 'n': 28, 'trace_an': 11}
-
id: 253121028
{'hecke_orbit_code': 94575935805719375, 'n': 29, 'trace_an': 12}
-
id: 253121029
{'hecke_orbit_code': 94575935805719375, 'n': 30, 'trace_an': -38}
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id: 253121986
{'hecke_orbit_code': 94575935805719375, 'n': 987, 'trace_an': -103}
-
id: 253121987
{'hecke_orbit_code': 94575935805719375, 'n': 988, 'trace_an': 12}
-
id: 253121988
{'hecke_orbit_code': 94575935805719375, 'n': 989, 'trace_an': -112}
-
id: 253121989
{'hecke_orbit_code': 94575935805719375, 'n': 990, 'trace_an': 0}
-
id: 253121990
{'hecke_orbit_code': 94575935805719375, 'n': 991, 'trace_an': 136}
-
id: 253121991
{'hecke_orbit_code': 94575935805719375, 'n': 992, 'trace_an': -9}
-
id: 253121992
{'hecke_orbit_code': 94575935805719375, 'n': 993, 'trace_an': 15}
-
id: 253121993
{'hecke_orbit_code': 94575935805719375, 'n': 994, 'trace_an': 4}
-
id: 253121994
{'hecke_orbit_code': 94575935805719375, 'n': 995, 'trace_an': 69}
-
id: 253121995
{'hecke_orbit_code': 94575935805719375, 'n': 996, 'trace_an': 75}
-
id: 253121996
{'hecke_orbit_code': 94575935805719375, 'n': 997, 'trace_an': 39}
-
id: 253121997
{'hecke_orbit_code': 94575935805719375, 'n': 998, 'trace_an': -205}
-
id: 253121998
{'hecke_orbit_code': 94575935805719375, 'n': 999, 'trace_an': -90}
-
id: 253121999
{'hecke_orbit_code': 94575935805719375, 'n': 1000, 'trace_an': -340}