Formats: - HTML - YAML - JSON - 2026-03-17T03:58:40.093297
Query: /api/lfunc_lfunctions/?_offset=0
Show schema

{'Lhash': 'dirichlet_L_155.123', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [2.9010907910729803e-30, -1.0], 'a3': [2.9010907910729803e-30, -1.0], 'a4': [-1.0, -1.4081532572346456e-30], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [-1.0, -1.4081532572346456e-30], 'a7': [2.9010907910729803e-30, -1.0], 'a8': [-7.040766286173228e-31, 1.0], 'a9': [-1.0, -1.4081532572346456e-30], 'algebraic': True, 'analytic_conductor': 0.7198169738260906, 'analytic_normalization': 0, 'bad_lfactors': [[5, [1]], [31, [1]]], 'bad_primes': [5, 31], 'central_character': '155.123', 'coeff_info': ['x^4 - 1', '6.12323399573677e-17 + 1.00000000000000*I', '\\\\zeta_{4}'], 'conductor': 155, 'conductor_radical': 155, 'conjugate': 'dirichlet_L_155.92', 'degree': 1, 'dirichlet_coefficients': [1, '-I', '-I', -1, 0, -1, '-I', 'I', -1, 0, -1, 'I', '-I', -1, 0, 1, 'I', 'I', -1, 0, -1, 'I', '-I', 1, 0, -1, 'I', 'I', 1, 0, 0, '-I', 'I', 1, 0, 1, 'I', 'I', -1, 0, 1, 'I', '-I', 1, 0, -1, '-I', '-I', -1, 0, 1, 'I', '-I', 1, 0, 1, 'I', '-I', -1, 0, -1, 0, 'I', -1, 0, 1, '-I', '-I', -1, 0, 1, '-I', '-I', 1, 0, 1, 'I', 'I', 1, 0, 1, '-I', '-I', 1, 0, -1, '-I', '-I', 1, 0, -1, 'I', 0, -1, 0, -1, '-I', 'I', 1, 0], 'euler_factors': [[1, 0], [1, 1], [0], [1, '-I'], [1, -1], [1, 0], [1, -1], [1, '-I'], [1, 'I'], [1, -1], [0], [1, -1], [1, 'I'], [1, '-I'], [1, -1], [1, 0], [1, 1], [1, 'I'], [1, 'I'], [1, -1], [1, 0], [1, -1], [1, 'I'], [1, '-I'], [1, 1], [1, 0]], 'gamma_factors': [[0], []], 'id': 4396, 'index': 0, 'label': '1-155-155.123-r0-0-0', 'leading_term': '-0.190569612040648257336979546358-0.670833052182845855687873296199*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/155/123', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [-0.6973763409625223, -0.34763826622345245, 0.05514602633621614, 0.5212547944539815, 0.8526240843636075, 0.8487833392071724, 0.44341822446315493, -0.2248412712561125, -0.8367181288765784, -1.0230586192953202, -0.5598435840473924, 0.46627464295483145, 1.62689273412133, 2.3099057958752893, 2.022309357447853, 0.6943893582834506, -1.1939028658027693, -2.776830041646502, -3.217237386693161, -2.1713739535484695, -0.03676854632997138, 2.1962728475683044, 3.452608870369347, 3.17517140969861, 1.6660434885364517, -0.0668254791268777, -0.8999216614593596, -0.27932189137057994, 1.42992823063541, 3.171207033467473, 3.874283408524586, 3.1487889016785617, 1.5275137823228753, 0.08549808466267914, -0.30862115443200655, 0.41626330824350577, 1.5255035029028083, 2.060581761403049, 1.575997715652854, 0.46517746800144466, -0.3884679578853134, -0.3713997863605559, 0.3034834663426187, 0.7339441966369182, 0.1104597320823781, -1.4574858688453516, -2.7830682631421024, -2.3556421958912264, 0.4759316307397641, 4.788261040101596, 8.468529062496877, 9.530380296304019, 7.45126657514824, 3.5406473203158844, 0.03669572517187321, -1.415888467181336, -0.7796086033781391, 0.5985625959326526, 1.2017861777577072, 0.5374386032549087, -0.6376065180289565, -1.1666132805306275, -0.6126995737762091, 0.35889754467255386, 0.661864033766243, -0.11187294799890499, -1.2150294704602504, -1.3781772512588453, -0.015336784022631056, 2.108853719286457, 3.4264883460929396, 2.9096670275029597, 1.0164351967369425, -0.6657367347107287, -0.8321224642333193, 0.317579838941656, 1.1996401517265816, 0.28730684814352303, -2.3802640523177048, -5.023363093303958, -5.54499998316744, -3.36482614433434, -0.033004129351764985, 1.984521374269757, 1.3412076489980875, -1.1001324873951197, -3.0723395685139585, -2.8751673275974405, -0.7609026604439136, 1.4511533935496213, 2.0886014136444633, 1.048187485154639, -0.336641126719622, -0.7257215045537242, -0.03197382354029058, 0.7007088061238027, 0.57402534591575, -0.13316686869181366, -0.2971588949560682, 0.6934459453072859, 2.0385581930091363, 2.177593183539681, 0.478301898918294, -1.7560014762015863, -2.17966080697666, 0.42446985097521506, 4.7189151257176825, 7.6384444368489435, 6.910894963129362, 3.0393627854230076, -1.0959207547699776, -2.689242244667984, -1.2848531031122141, 1.1536163922535765, 2.293649154171338, 1.5445104750472762, 0.24712939069160514, -0.04006679123210462, 0.7382067030476749, 1.1888586625565891, 0.14859505037523538, -1.881816142340122, -3.1270265437771205, -2.3618207708922414, -0.22562481126366202, 1.399589408794083, 1.3135157901812589, 0.1802876674930985, -0.2990477377208807, 0.6721598045299886, 2.062572541761298, 2.1656202378214395, 0.6032872234014152, -1.0703048544574039, -0.9845429067723722, 0.8413543494494522, 2.151251541972167, 0.5909543264400154, -3.7037820603938503, -7.784800106231441, -8.38789751223877, -4.93002991321207, -0.08127668154086032, 2.6599546484001824, 2.013071593375531, -0.3244465486162946, -1.7219907680695858, -1.196715471190545, 0.05697340742352653, 0.4255990652499928, -0.24491107406188234, -0.7154530863636782, -0.07907352690225383, 1.0248010985587723, 1.1848643330896704, 0.039239560796934476, -1.1122927063541428, -0.790571941003372, 0.7286826002981676, 1.4005454857703783, -0.3789475208642664, -3.6719687027948513, -5.50095027022621, -3.732034659440132, 0.5925816082176324, 4.045862205622701, 4.07935198181661, 1.4346868615043633, -0.7934305887530813, -0.41944247927035855, 1.7054732560517192, 2.872976514943848, 1.5818852407384718, -0.9023292785429219, -2.106614922317528, -1.1568637102555022, 0.34249507424918624, 0.25966584240171636, -1.59122372685339, -3.2778703132738216, -3.0000739586009786, -1.1162065153399627, 0.36310147421198863, 0.13259977913772625, -1.0054666832302788, -1.2920864033192951, -0.23485767281614747, 0.8438482196106092, 0.6049832549015127, -0.4359691108965746, -0.4494614845116979, 1.1923970748547315, 2.488902049223273, 0.5797064107028933, -4.880017436347702, -10.533106771059726, -12.052524847404836, -8.247613570075899, -2.282441424280875, 1.3388464846495949, 0.912986855759122, -1.4026236974677575, -2.3954079404785675, -1.1647436932029742, 0.5106131721780737, 0.7371728878490014, -0.27833089828810537, -0.8492446285939343, -0.15685761531775255, 0.7650835389332857, 0.5894950796110358, -0.3271163323624016, -0.2300432384291184, 1.7024993565180506, 3.9287063984268915, 4.02932900486881, 1.5374358603461884, -1.3146132544889793, -2.033088794223489, -0.7297678292070862, 0.0382949193890128, -1.5877905061663933, -4.322708388628364, -5.015013622507288, -2.323586742956007, 1.486828546165159, 2.8597945442742922, 0.8264312411590988, -1.9910496409970664, -2.4101583641881232, -0.252845101223576, 1.6309747948121645, 0.7921849338518107, -2.000062357710043, -3.7579017991688994, -2.742796788736783, -0.27035293198474747, 1.0886271434901889, 0.5072636582184209, -0.5162935544474115, -0.4079426579825958, 0.47741916913594823, 0.6155420610299576, -0.37071255134806846, -1.0832957140612787, -0.3559097006394203, 0.8086238329622408, 0.23273742931314376, -2.426726285668626, -4.532901847633215, -3.163685036665487, 1.1577992328292028, 4.270196413421829, 2.490363539748145, -3.316159025406287, -8.347285146931915, -8.635992723658422, -4.78472064094653, -0.7423216090562177, 0.6202579918760754, 0.0015132737879783626, -0.18959119820692472, 0.7967496524073152, 1.4212568666603813, 0.37528481895260113, -1.3595093916412333, -1.6934770867633577, -0.24028205072137712, 1.0408132327571336, 0.3284159494915634, -1.639204206375107, -2.410339161568658, -0.9369804647275407, 1.0406865663023912, 1.1889914471454444, -0.4316926464652158, -1.485895514975036, -0.5120462765123014, 0.996263561672589, 0.451045070952284, -2.255038159635126, -4.154089071843993, -2.718684704157225, 0.6982674995578956, 1.9705721830637535, -1.0942801824418937, -5.9551393337723955, -7.905424948963793, -5.140726554583294, -0.5076038093757583, 1.8890069079635634, 1.0305006883608951, -0.6707740416948977, -0.8556263886046729, 0.1008671874210205, 0.27908403233163476, -0.8236565616719116, -1.6609806216943275, -0.9598531444112917, 0.4317555093662422, 0.7957979523344639, 0.08303883402119189, 0.018725657922057222, 1.405599566433231, 2.3789497486963684, 0.4663809505368524, -3.804113239322861, -6.5964247155978235, -4.831946131343017, -0.008462365590365275, 3.071495500585441, 1.5233132282813564, -2.5075833639495198, -4.506714566642781, -2.770615400711646, 0.05885216289210242, 0.629758629399725, -1.089329837513005, -2.281628181254091, -1.2267039715642996, 0.575080144753852, 0.6844885793479714, -0.8734721864060899, -1.6800956420364201, -0.2777510118880439, 1.7727048770641556, 1.907980183549847, -0.058798029523568496, -1.7053615984237882, -1.1742303335961835, 0.5269657736907523, 1.1104518158323904, 0.1761030134026377, -0.451230211330515, 0.3721510927392935, 1.1876333299454465, 0.0045921306945659, -2.2883125106384377, -2.1821775551082228, 2.094508422558254, 7.477498562123062, 8.696190923583783, 4.09169844579555, -2.257792385008912, -4.849230518284184, -2.5360339047053526, 0.8820747860123753, 1.5234930496099985, -0.39768058833537, -1.7843805409978035, -0.9744602336891993, 0.5638273493547827, 0.7998097619761008, -0.07158429001702046, -0.40986851336858976, 0.07109372676768604, -0.19483655844727588, -2.0426908577454803, -3.8018384765113065, -3.256485151952516, -0.8737894550631056, 0.3632161679953889, -1.2451246593604672, -3.646493605322323, -3.493258937836587, -0.5920335330730429, 1.5671559519437055, 0.20514690544084624, -3.000086513589818, -3.8189986344782043, -0.7723621295527199, 2.9408157638233954, 3.3909535016334735, 0.6764924233792047, -1.5426893533544286, -0.9156146267873588, 0.778383394500479, 0.38615091293945714, -2.1839110338727488, -3.790836479550181, -2.2389158274895524, 0.8598981867424833, 2.2326761570854528, 1.031601573045204, -0.5550647934266723, -0.5953630687217183, 0.18508051457070057, 0.040337670922950944, -0.8670175430687838, -0.694032601190256, 1.0602795640759317, 2.392234902493834, 1.5578196542218725, -0.10465823832026033, 0.2177606417323452, 2.426119111205889, 2.520900786356701, -2.7305050075617228, -10.942005300889381, -15.628073419552285, -12.964251155428505, -5.868705649490725, -0.5473657028277151, 0.1744916342633757, -1.181614825970516, -1.0626740669755523, 0.67145969407496, 1.5826090226616318, 0.6778967884004848, -0.32224300797541533, 0.126188539001932, 0.966743790500273, 0.23176705924783064, -1.734344349968978, -2.4341209814907714, -0.7391064361827415, 1.2957556809052448, 1.149746073809822, -0.5987728883133524, -0.990594833757411, 1.1201252033973021, 3.261391507474295, 2.644502511776907, 0.08894874288141967, -1.0210832688764468, 0.5006979809411455, 1.8066322223148226, -0.05427292245876595, -3.6601638792994886, -4.553222722961204, -1.0216930977565004, 3.280165398109567, 3.5753033717750196, -0.2522428253152252, -3.7172327097753937, -3.363869916214903, -0.6001888056259261, 0.8451703900888253, -0.10491345266713348, -1.118346462731047, -0.27744332639704206, 1.2827283722324918, 1.3886796522373759, 0.09612828447694734, -0.6534471592191031, -0.1802990236484826, -0.028291527513736474, -1.2394080411303232, -2.288955320795898, -1.285632166584143, 0.5360884943814178, -0.3521191196504877, -4.848529273054418, -8.864955137584126, -7.592295077010294, -1.545883609103997, 3.522362685745839, 3.1920025735982103, -0.6960956873373516, -2.831133821519006, -1.0685902004401258, 1.6112495837936085, 1.7302343255386752, -0.18958221197185138, -1.0691634381886872, 0.07471201677509555, 1.060515314614788, 0.18845944823666488, -1.0966537558371383, -0.47836820099528254, 1.5136684230931368, 1.9921395464401235, -0.15372876594077553, -2.4776114631438007, -2.2300849506998692, -0.050819595790617976, 1.1342510765957023, 0.28939524194781163, -0.6049382943477317, 0.01502129931819725, 0.6644571741420771, -0.7808144305106606, -3.097946146933814, -2.527311101231937, 1.94906740303761, 6.194975595224204, 5.521240357369067, 0.7879884788039269, -2.2188555151521308, 0.21604155107663153, 5.246123516534894, 7.168126374374457, 4.332658334501844, 0.453703048076331, -0.6567308495621839, 0.5408448769004477, 1.150039474043179, 0.30841051181173373, -0.21197220959219876, 0.6216453919687902, 1.395761363745782, 0.7211540884355248, -0.32130069799530836, 0.12281839489576528, 1.3936801146978013, 0.8567564120885611, -2.002172819446598, -4.052293307672802, -2.479796082386944, 1.0165849023848421, 2.106487135159208, -0.25723025175824094, -2.0653624035616494, 0.49021399471319244, 5.640175359235315, 7.969802454058134, 5.2298769021562, 0.9428264340278938, -0.46082048657214636, 0.8976450683323267, 1.5386866982732375, 0.1550976626418263, -0.6455101632100058, 1.3895846197253194, 4.405707548958454, 4.762826603022698, 2.0371564785172502, -0.4936984685564272, -0.41799822425566174, 0.8413203981787782, 0.65309375836574, -0.8535435340471795, -1.3486327428500449, -0.17267629795646844, 0.6222149784178186, -0.38041648553204827, -1.6029244870788597, -1.0087910130768445, 0.3530135941926897, -0.2747603487413063, -2.5484071973027773, -2.245843019646216, 3.14373946440673, 9.746557280538193, 10.767868233903892, 4.56101089066278, -3.032815359688638, -5.3478653819058835, -2.1532859847840076, 1.357599743539428, 1.5950943049707158, 0.066972338540954, -0.27670692134736613, 0.4680974436556759, 0.15268474546747104, -1.4164253546879113, -2.0322313936309047, -0.6795150073889388, 0.7586665658635868, 0.4888243580935576, -0.25238061921404387, 0.8486508127687499, 3.1643281907004956, 3.4629022546216546, 0.6128988437394107, -2.2841334151960417, -1.933325537241785, 0.5066319686360001, 1.0499451635377093, -1.3366485273883648, -3.203659690290061, -1.750510192403524, 0.8024937282326715, 0.20338376903136784, -3.5355119456872743, -5.670320629076737, -3.0803940259541696, 1.3825138553131509, 2.6811337614727586, 0.2106378756055879, -1.8826670759323276, -0.736267225942011, 1.554220920448628, 1.4443166866339858, -0.930189239726123, -2.3373605831383673, -1.3045847048700685, 0.1479048963145759, 0.008783261848561496, -0.7865712286472819, -0.3580442969211157, 0.8082477526477267, 0.7548604052111803, -0.3853242008912297, -0.3192051061738457, 1.3351230265853606, 1.4061494329369177, -2.4098930335245434, -6.989901491735119, -6.560282438696153, -0.21265874802886314, 6.021530535257191, 6.095629734697379, 1.1276959150344097, -2.537529325966669, -1.5071162077436464, 1.2058562224845737, 1.3120187284793112, -0.9457954459889668, -2.1159823998494147, -0.9924059483568877, 0.14867480013245438, -0.33280829339459334, -0.9301511426942297, 0.07368907271088634, 1.2592111846554348, -0.012355109630233195, -3.202596817439643, -4.724205691745671, -2.81911307355359, 0.00315802329023716, 0.6521008685006532, -0.2877127992452191, -0.09794677635841087, 1.3439995866047088, 1.2256071229458174, -1.4541288835848312, -3.6075117456933414, -2.389832841675008, 0.08952132762402253, -0.7222920905676877, -5.015601421830791, -7.460598129928738, -4.097566683697198, 2.0366869076597407, 4.56911334810534, 1.8819247039784892, -1.3378237370590238, -0.7617655467483008, 2.2376490464300067, 3.4367557746903445], 'positive_zeros': ['0.586970504022132361911899578933', '2.08784883756727384889564226685', '3.30990319380585093113374750272', '4.80640038930479320141127245221', '6.25483232105777009449609958373', '7.79823765659132201645538455617', '8.49944177387542857933306969792', '10.340405537058762176641962749819', '10.80281584597489183171604822352', '12.32723233269226879166822314566', '12.99830136245877962409424089468', '13.777408136160354048671452596317', '14.96036308663229962482598911721', '16.87937976177005941167722405363', '17.67258051367888520442306222818', '18.57757540601438216593974525538', '19.56447408884537929694533417447', '20.28138050411652026192214469599', '21.25242087540700703266462043759', '22.6638205079497722001610158893', '23.36395279320425142729331360843', '24.1053682531006644114141700200', '25.628382812958702276908663804123', '26.43235246352168322482523355209', '27.59520732858749554705082679345', '28.66052886874623699463067040716', '29.385797543803544487640389451', '30.25127050501765414088288299262', '30.759106900308045593253369858489', '31.93774888811656058560873432945', '32.77735608351886002837778823139', '34.27916701092900876931043211634', '35.15956682365069546583991161234', '36.35212648206430040290267548867', '36.59044175842629965752689467214', '37.52555967629579888024971906348', '38.78247326101732964805634123564', '39.74376476481354589757480738552', '40.14661279847759192500391035352', '41.34562811384953860600472442366', '42.060566544980933493064146762486', '42.86565048317031913318577100751', '44.38097627293773405273638949720', '45.26848256364343566062444315937', '46.232629708687469958274832826228', '46.78248581276483284003602614999', '47.52210524362220242135426236636', '48.44591920088109186090095082316', '49.23329426859338985531900176792', '49.95786318225568336897687409663', '51.20938817197961954377981575901', '52.35345769832548040265466004389', '52.883838887031883509133448315337', '53.94577022257772495436474863267', '54.91010059274805754986123956650', '55.37295794660307349137548327772', '56.762230765085109425164151931470', '57.227586193190917403681247891901', '58.17870361496377082578003214781', '58.92709291638035379556263151185', '59.487050065305443542378044439831', '60.35535954027620156300305016505', '62.02889045657972611237804123318', '62.62669659026927702550698828153', '63.63588935987853063274058140044', '64.297719304643666499615549135969', '65.04459418122753019584460843704', '65.820138404985821080953518606937', '66.307069795933924170759546030990', '67.6525559689218506357591201336', '68.6394416053626095136100130561', '68.77573420079550331728960494385', '70.18134395066185650437493606037', '71.02029486435462560734801623061', '71.905624310532476994993970138924', '72.598080386261841750386205439798', '73.78853074309133347877481236673', '74.50897999386428120605055001983', '75.14548879490897522993692990675', '75.83847520621662786351366226403', '76.64501505247721042792564910512', '77.22433161802734882725977046430', '78.35970653637584016279088898992', '79.21025415495523688429620108396', '80.721226365915983979816952622187', '81.25062488622930522899169214294', '81.648009733748111358631754154721', '82.564895702642730728649696092172', '83.47979593372486927714893116568', '84.11909783024380803936791226369', '85.13220352525614473435340812118', '85.86364120298808562741625477935', '86.65356446875375078288492579022', '87.25247854131501489392852230253', '88.37046951593235220130222495500', '88.98549350533136548716485649432', '90.35353008589581640667387442313', '91.10916204094543877987012893713', '91.8400113179532887036699376281', '92.293251815458046654821235598518', '93.33087513103902757756287882385', '94.10210960190908525814499547793', '94.366966803839637941405578167719', '95.35192739952536077233712893803', '96.56305353888207809621534200794', '97.30878870463379337135041885330', '98.42872645521173970145083736042', '98.890203012062972805138064536761', '99.88392322329567350135227671438', '100.46620288708486894259162476477', '101.28882384351714814217128756997', '102.17949876515714761351649160132', '103.023662989636176991647454104987', '103.799738901367345655854528563897', '104.27683808734366513108884403552', '105.000650416311720448482764763153', '105.81426328024763572264513551999', '107.06693614612131180920396644836', '108.028186399244683803025604942890', '108.69428213885664117774009853409', '109.55786374871946537260428287485', '110.28688480105076012961958694354', '110.8902705188678461360958517963', '111.18465081703668966439695909502', '112.639576757465686824224794988667', '112.9433445265158496248267768563', '114.12144863142019563534887926078', '114.70880069692008124601702253886', '115.68227694396780508557537016401', '116.63202606939800091699041401238', '117.33967723970350439874455369120', '117.87128977530184607313110650360', '118.97086620632357520765553078388', '119.86534154599979453240096243864', '120.536872085885225959961516550834', '120.95331360869403628233474411120', '121.70695040200866023538227703428', '122.78360411259828819096662252559', '123.07989297473980131953334802681', '123.93773592868815936022251821670', '125.696116257759624169387649678311', '125.984030432559649855112058283507', '126.761613243456091515998526827526', '127.669194762703857714154619546961', '128.0847671247908392366869222231', '128.79103762430745061596182284287', '129.78364341258948734539237204813', '130.518405083996718818365730648782', '131.11555974577717563542389236078', '132.1993753566799254038055514121', '132.73720198414774818403568445209', '133.432468099856312916886495532074', '134.44016743349325854066814114674', '135.29512461237121747373076616719', '136.328067427581547246763361913415', '136.85297678340321399650837967170', '137.55208079691534609786319519853', '138.460316996022659543123373670664', '139.164612460545116442590902487564', '139.35808482447751935311756376530', '140.51094825049583170189441298249', '140.89705470332721528747534515015', '142.262176486022846294453467288644', '143.0703868362785106623976387694', '143.85973350766293365605377409670', '144.65683044944523851611987537178', '145.2974250616784852601026847168', '145.97515693954156510866135579287', '146.64207408394839918800825454500', '147.483012974938895379747694604976', '148.44496685889109501938231807222', '149.13239732632491682739214434836', '149.68320661271525538758479676381', '150.199441695141811838743178816645', '151.133584223857142175018080507108', '152.23949764922123976268154925940', '152.79789685496189855897201079695', '154.1186688199768666536481221663', '154.56820370535950820161792166683', '155.41563517526662668114754199310', '155.752070606697938117913383827410', '156.74774893808896561775404693643', '157.15508259619233560059936102880', '157.92385347792245074136674589923', '158.96568179174317969007149921621', '159.66075851170171083914770841739', '160.27833768703848823589313349143', '161.67349909659879670784069250314', '162.01555685899076570113002614451', '162.84169255758878925401041214658', '163.276359941972451753467019906305', '164.598346805841442706336662560945', '165.09898990880185205163373495107', '165.76709717767864429275660149344', '166.60144902076848608975754402681', '167.10836361248132703578661117665', '168.02014209068965399863537585802', '168.38877220622645190609560230802', '169.224250444466156992677915886', '170.48582293984995065784414979501', '171.41445629587512595128950597092', '172.20484161041291754390177154592', '172.62108698223112111521019095882', '173.16228537328282592411894877578', '174.1806337530201428723214585093', '174.84483598151846163532457133787', '175.153474987817778740011604628297', '176.303197100900254664944832352174', '177.118646045787860372942054931824', '177.66518635828412757384036991159', '178.63004306649097746069097522674', '179.084945462123939454279335860442', '180.205697636904865976721485760434', '180.9588931308362952456449230994', '181.65364476857277026486052700616', '182.38693443963348556325538537792', '183.38702444293929975494600935738', '183.75324558150353607106482810534', '184.46685330798944626481393421501', '185.203222218267230772402524844423', '185.69831855920550412958473256406', '186.400448815329004287165577609057', '187.508717370178052482947352747040', '188.505686935268929540580032023880', '189.22194995109172496521185969703', '189.87822406662956176412101279903', '190.85698534565352775718126001596', '191.13162164592587124585978037839', '191.86045454763014895062638333164', '192.49856488791847715626977901966', '193.749509583773933426358944140019', '194.2771798126889856521276164910', '194.71276620022649453546738861673', '195.47802653560715959412646493785', '196.54427701861365193849984367482', '196.78385077072179108249168605784', '198.015544416856781240068380102068', '198.902805563934601809680177540325', '199.460414565549158778183985759671'], 'prelabel': '1-155-155.123-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7198169738260906, 'root_angle': 0.4118959044126083, 'root_number': '-0.850650808352039932181540497063+0.525731112119133606025669084848*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.411895904413', 'prec': 47}, 'spectral_label': 'r0-0', 'st_group': 'mu(4)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.405120169386750777806352566484-0.680208282887100729605645393867*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.586970504022', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '2.08784883757', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '3.30990319381', 'prec': 44}}