Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(56,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.56");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.k (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 56.15 | ||
Character | \(\chi\) | \(=\) | 605.56 |
Dual form | 605.2.k.a.551.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.797436 | + | 0.234148i | 0.563873 | + | 0.165568i | 0.551232 | − | 0.834352i | \(-0.314158\pi\) |
0.0126408 | + | 0.999920i | \(0.495976\pi\) | |||||||
\(3\) | 0.459960 | 0.265558 | 0.132779 | − | 0.991146i | \(-0.457610\pi\) | ||||
0.132779 | + | 0.991146i | \(0.457610\pi\) | |||||||
\(4\) | −1.10143 | − | 0.707845i | −0.550714 | − | 0.353922i | ||||
\(5\) | −0.654861 | + | 0.755750i | −0.292863 | + | 0.337981i | ||||
\(6\) | 0.366789 | + | 0.107699i | 0.149741 | + | 0.0439679i | ||||
\(7\) | 0.797120 | − | 1.74545i | 0.301283 | − | 0.659718i | −0.697075 | − | 0.716998i | \(-0.745516\pi\) |
0.998358 | + | 0.0572803i | \(0.0182429\pi\) | |||||||
\(8\) | −1.80109 | − | 2.07857i | −0.636781 | − | 0.734885i | ||||
\(9\) | −2.78844 | −0.929479 | ||||||||
\(10\) | −0.699167 | + | 0.449328i | −0.221096 | + | 0.142090i | ||||
\(11\) | 1.89600 | − | 2.72125i | 0.571665 | − | 0.820487i | ||||
\(12\) | −0.506613 | − | 0.325580i | −0.146247 | − | 0.0939870i | ||||
\(13\) | 0.748896 | + | 0.481286i | 0.207706 | + | 0.133485i | 0.640358 | − | 0.768076i | \(-0.278786\pi\) |
−0.432652 | + | 0.901561i | \(0.642422\pi\) | |||||||
\(14\) | 1.04435 | − | 1.20524i | 0.279113 | − | 0.322114i | ||||
\(15\) | −0.301210 | + | 0.347615i | −0.0777721 | + | 0.0897537i | ||||
\(16\) | 0.138220 | + | 0.302659i | 0.0345550 | + | 0.0756649i | ||||
\(17\) | 0.0467294 | + | 0.325010i | 0.0113335 | + | 0.0788266i | 0.994703 | − | 0.102789i | \(-0.0327765\pi\) |
−0.983370 | + | 0.181615i | \(0.941867\pi\) | |||||||
\(18\) | −2.22360 | − | 0.652908i | −0.524108 | − | 0.153892i | ||||
\(19\) | 1.10763 | − | 7.70373i | 0.254107 | − | 1.76736i | −0.318883 | − | 0.947794i | \(-0.603308\pi\) |
0.572991 | − | 0.819562i | \(-0.305783\pi\) | |||||||
\(20\) | 1.25624 | − | 0.368864i | 0.280903 | − | 0.0824805i | ||||
\(21\) | 0.366644 | − | 0.802837i | 0.0800082 | − | 0.175193i | ||||
\(22\) | 2.14911 | − | 1.72608i | 0.458193 | − | 0.368001i | ||||
\(23\) | −3.76274 | − | 8.23925i | −0.784585 | − | 1.71800i | −0.691537 | − | 0.722341i | \(-0.743066\pi\) |
−0.0930483 | − | 0.995662i | \(-0.529661\pi\) | |||||||
\(24\) | −0.828430 | − | 0.956059i | −0.169102 | − | 0.195155i | ||||
\(25\) | −0.142315 | − | 0.989821i | −0.0284630 | − | 0.197964i | ||||
\(26\) | 0.484504 | + | 0.559148i | 0.0950191 | + | 0.109658i | ||||
\(27\) | −2.66245 | −0.512389 | ||||||||
\(28\) | −2.11348 | + | 1.35825i | −0.399410 | + | 0.256685i | ||||
\(29\) | −0.0414284 | + | 0.288141i | −0.00769305 | + | 0.0535064i | −0.993306 | − | 0.115510i | \(-0.963150\pi\) |
0.985613 | + | 0.169016i | \(0.0540590\pi\) | |||||||
\(30\) | −0.321589 | + | 0.206673i | −0.0587139 | + | 0.0377331i | ||||
\(31\) | −6.82467 | + | 4.38595i | −1.22575 | + | 0.787740i | −0.983223 | − | 0.182405i | \(-0.941612\pi\) |
−0.242524 | + | 0.970145i | \(0.577975\pi\) | |||||||
\(32\) | 0.822183 | + | 5.71841i | 0.145343 | + | 1.01088i | ||||
\(33\) | 0.872085 | − | 1.25167i | 0.151810 | − | 0.217887i | ||||
\(34\) | −0.0388369 | + | 0.270117i | −0.00666047 | + | 0.0463246i | ||||
\(35\) | 0.797120 | + | 1.74545i | 0.134738 | + | 0.295035i | ||||
\(36\) | 3.07126 | + | 1.97378i | 0.511877 | + | 0.328963i | ||||
\(37\) | 6.00847 | − | 3.86141i | 0.987786 | − | 0.634811i | 0.0562330 | − | 0.998418i | \(-0.482091\pi\) |
0.931553 | + | 0.363606i | \(0.118455\pi\) | |||||||
\(38\) | 2.68708 | − | 5.88388i | 0.435902 | − | 0.954491i | ||||
\(39\) | 0.344462 | + | 0.221372i | 0.0551581 | + | 0.0354480i | ||||
\(40\) | 2.75034 | 0.434867 | ||||||||
\(41\) | 10.9211 | + | 3.20671i | 1.70558 | + | 0.500804i | 0.981911 | − | 0.189341i | \(-0.0606352\pi\) |
0.723671 | + | 0.690145i | \(0.242453\pi\) | |||||||
\(42\) | 0.480358 | − | 0.554363i | 0.0741208 | − | 0.0855400i | ||||
\(43\) | −1.84832 | − | 2.13307i | −0.281866 | − | 0.325291i | 0.597108 | − | 0.802161i | \(-0.296317\pi\) |
−0.878974 | + | 0.476870i | \(0.841771\pi\) | |||||||
\(44\) | −4.01453 | + | 1.65518i | −0.605213 | + | 0.249528i | ||||
\(45\) | 1.82604 | − | 2.10736i | 0.272210 | − | 0.314147i | ||||
\(46\) | −1.07134 | − | 7.45132i | −0.157960 | − | 1.09864i | ||||
\(47\) | −1.14770 | + | 0.336995i | −0.167409 | + | 0.0491557i | −0.364363 | − | 0.931257i | \(-0.618713\pi\) |
0.196954 | + | 0.980413i | \(0.436895\pi\) | |||||||
\(48\) | 0.0635757 | + | 0.139211i | 0.00917636 | + | 0.0200934i | ||||
\(49\) | 2.17283 | + | 2.50758i | 0.310405 | + | 0.358226i | ||||
\(50\) | 0.118278 | − | 0.822642i | 0.0167271 | − | 0.116339i | ||||
\(51\) | 0.0214937 | + | 0.149492i | 0.00300972 | + | 0.0209330i | ||||
\(52\) | −0.484179 | − | 1.06020i | −0.0671435 | − | 0.147024i | ||||
\(53\) | −3.05967 | + | 6.69975i | −0.420278 | + | 0.920281i | 0.574527 | + | 0.818486i | \(0.305186\pi\) |
−0.994805 | + | 0.101796i | \(0.967541\pi\) | |||||||
\(54\) | −2.12313 | − | 0.623409i | −0.288922 | − | 0.0848352i | ||||
\(55\) | 0.814965 | + | 3.21494i | 0.109890 | + | 0.433502i | ||||
\(56\) | −5.06372 | + | 1.48684i | −0.676668 | + | 0.198688i | ||||
\(57\) | 0.509465 | − | 3.54341i | 0.0674803 | − | 0.469336i | ||||
\(58\) | −0.100504 | + | 0.220073i | −0.0131968 | + | 0.0288970i | ||||
\(59\) | −9.76860 | + | 2.86832i | −1.27176 | + | 0.373423i | −0.846860 | − | 0.531815i | \(-0.821510\pi\) |
−0.424903 | + | 0.905239i | \(0.639692\pi\) | |||||||
\(60\) | 0.577818 | − | 0.169663i | 0.0745960 | − | 0.0219034i | ||||
\(61\) | 4.18319 | − | 1.22830i | 0.535602 | − | 0.157267i | −0.00273527 | − | 0.999996i | \(-0.500871\pi\) |
0.538338 | + | 0.842729i | \(0.319052\pi\) | |||||||
\(62\) | −6.46920 | + | 1.89953i | −0.821590 | + | 0.241241i | ||||
\(63\) | −2.22272 | + | 4.86708i | −0.280036 | + | 0.613194i | ||||
\(64\) | −0.588613 | + | 4.09390i | −0.0735767 | + | 0.511737i | ||||
\(65\) | −0.854154 | + | 0.250802i | −0.105945 | + | 0.0311082i | ||||
\(66\) | 0.988507 | − | 0.793926i | 0.121677 | − | 0.0977256i | ||||
\(67\) | 0.811268 | + | 0.238210i | 0.0991122 | + | 0.0291020i | 0.330913 | − | 0.943661i | \(-0.392643\pi\) |
−0.231800 | + | 0.972763i | \(0.574462\pi\) | |||||||
\(68\) | 0.178588 | − | 0.391052i | 0.0216569 | − | 0.0474221i | ||||
\(69\) | −1.73071 | − | 3.78973i | −0.208353 | − | 0.456230i | ||||
\(70\) | 0.226958 | + | 1.57853i | 0.0271267 | + | 0.188670i | ||||
\(71\) | 1.11148 | − | 7.73048i | 0.131908 | − | 0.917439i | −0.811157 | − | 0.584829i | \(-0.801162\pi\) |
0.943064 | − | 0.332610i | \(-0.107929\pi\) | |||||||
\(72\) | 5.02222 | + | 5.79596i | 0.591875 | + | 0.683060i | ||||
\(73\) | 2.79858 | + | 6.12804i | 0.327549 | + | 0.717233i | 0.999732 | − | 0.0231527i | \(-0.00737038\pi\) |
−0.672183 | + | 0.740385i | \(0.734643\pi\) | |||||||
\(74\) | 5.69551 | − | 1.67235i | 0.662090 | − | 0.194407i | ||||
\(75\) | −0.0654592 | − | 0.455279i | −0.00755857 | − | 0.0525710i | ||||
\(76\) | −6.67301 | + | 7.70107i | −0.765447 | + | 0.883373i | ||||
\(77\) | −3.23846 | − | 5.47853i | −0.369057 | − | 0.624337i | ||||
\(78\) | 0.222853 | + | 0.257186i | 0.0252331 | + | 0.0291205i | ||||
\(79\) | 6.18976 | − | 7.14336i | 0.696402 | − | 0.803691i | −0.291860 | − | 0.956461i | \(-0.594274\pi\) |
0.988262 | + | 0.152770i | \(0.0488195\pi\) | |||||||
\(80\) | −0.319250 | − | 0.0937401i | −0.0356932 | − | 0.0104805i | ||||
\(81\) | 7.14069 | 0.793410 | ||||||||
\(82\) | 7.95800 | + | 5.11430i | 0.878814 | + | 0.564779i | ||||
\(83\) | −0.0732771 | + | 0.160455i | −0.00804321 | + | 0.0176122i | −0.913611 | − | 0.406589i | \(-0.866718\pi\) |
0.905568 | + | 0.424202i | \(0.139445\pi\) | |||||||
\(84\) | −0.972116 | + | 0.624741i | −0.106067 | + | 0.0681648i | ||||
\(85\) | −0.276228 | − | 0.177521i | −0.0299611 | − | 0.0192548i | ||||
\(86\) | −0.974461 | − | 2.13377i | −0.105079 | − | 0.230091i | ||||
\(87\) | −0.0190554 | + | 0.132533i | −0.00204295 | + | 0.0142090i | ||||
\(88\) | −9.07116 | + | 0.960244i | −0.966989 | + | 0.102362i | ||||
\(89\) | 0.180054 | + | 1.25230i | 0.0190857 | + | 0.132744i | 0.997137 | − | 0.0756225i | \(-0.0240944\pi\) |
−0.978051 | + | 0.208367i | \(0.933185\pi\) | |||||||
\(90\) | 1.94958 | − | 1.25292i | 0.205504 | − | 0.132070i | ||||
\(91\) | 1.43702 | − | 0.923517i | 0.150641 | − | 0.0968109i | ||||
\(92\) | −1.68772 | + | 11.7384i | −0.175957 | + | 1.22381i | ||||
\(93\) | −3.13908 | + | 2.01736i | −0.325507 | + | 0.209191i | ||||
\(94\) | −0.994124 | −0.102536 | ||||||||
\(95\) | 5.09674 | + | 5.88196i | 0.522915 | + | 0.603476i | ||||
\(96\) | 0.378171 | + | 2.63024i | 0.0385970 | + | 0.268448i | ||||
\(97\) | 7.12903 | + | 8.22734i | 0.723844 | + | 0.835360i | 0.991764 | − | 0.128081i | \(-0.0408817\pi\) |
−0.267920 | + | 0.963441i | \(0.586336\pi\) | |||||||
\(98\) | 1.14555 | + | 2.50840i | 0.115718 | + | 0.253387i | ||||
\(99\) | −5.28688 | + | 7.58802i | −0.531351 | + | 0.762625i | ||||
\(100\) | −0.543890 | + | 1.19095i | −0.0543890 | + | 0.119095i | ||||
\(101\) | 0.355175 | − | 0.104289i | 0.0353413 | − | 0.0103771i | −0.264014 | − | 0.964519i | \(-0.585047\pi\) |
0.299355 | + | 0.954142i | \(0.403228\pi\) | |||||||
\(102\) | −0.0178634 | + | 0.124243i | −0.00176874 | + | 0.0123019i | ||||
\(103\) | 6.28966 | + | 1.84681i | 0.619739 | + | 0.181972i | 0.576506 | − | 0.817093i | \(-0.304416\pi\) |
0.0432334 | + | 0.999065i | \(0.486234\pi\) | |||||||
\(104\) | −0.348442 | − | 2.42347i | −0.0341676 | − | 0.237641i | ||||
\(105\) | 0.366644 | + | 0.802837i | 0.0357807 | + | 0.0783489i | ||||
\(106\) | −4.00863 | + | 4.62621i | −0.389353 | + | 0.449337i | ||||
\(107\) | −4.91164 | + | 5.66834i | −0.474826 | + | 0.547979i | −0.941748 | − | 0.336320i | \(-0.890818\pi\) |
0.466921 | + | 0.884299i | \(0.345363\pi\) | |||||||
\(108\) | 2.93250 | + | 1.88460i | 0.282180 | + | 0.181346i | ||||
\(109\) | −13.3003 | − | 8.54761i | −1.27394 | − | 0.818712i | −0.283814 | − | 0.958879i | \(-0.591600\pi\) |
−0.990128 | + | 0.140167i | \(0.955236\pi\) | |||||||
\(110\) | −0.102890 | + | 2.75453i | −0.00981017 | + | 0.262634i | ||||
\(111\) | 2.76366 | − | 1.77609i | 0.262315 | − | 0.168579i | ||||
\(112\) | 0.638455 | 0.0603283 | ||||||||
\(113\) | 1.06383 | + | 1.22773i | 0.100077 | + | 0.115495i | 0.803579 | − | 0.595199i | \(-0.202927\pi\) |
−0.703501 | + | 0.710694i | \(0.748381\pi\) | |||||||
\(114\) | 1.23595 | − | 2.70635i | 0.115757 | − | 0.253473i | ||||
\(115\) | 8.69088 | + | 2.55187i | 0.810429 | + | 0.237963i | ||||
\(116\) | 0.249589 | − | 0.288041i | 0.0231738 | − | 0.0267440i | ||||
\(117\) | −2.08825 | − | 1.34204i | −0.193059 | − | 0.124071i | ||||
\(118\) | −8.46145 | −0.778940 | ||||||||
\(119\) | 0.604538 | + | 0.177508i | 0.0554179 | + | 0.0162722i | ||||
\(120\) | 1.26505 | 0.115482 | ||||||||
\(121\) | −3.81037 | − | 10.3190i | −0.346397 | − | 0.938088i | ||||
\(122\) | 3.62343 | 0.328050 | ||||||||
\(123\) | 5.02325 | + | 1.47496i | 0.452931 | + | 0.132993i | ||||
\(124\) | 10.6215 | 0.953835 | ||||||||
\(125\) | 0.841254 | + | 0.540641i | 0.0752440 | + | 0.0483564i | ||||
\(126\) | −2.91209 | + | 3.36074i | −0.259430 | + | 0.299398i | ||||
\(127\) | 7.32382 | + | 2.15047i | 0.649884 | + | 0.190823i | 0.590027 | − | 0.807384i | \(-0.299117\pi\) |
0.0598575 | + | 0.998207i | \(0.480935\pi\) | |||||||
\(128\) | 3.37192 | − | 7.38347i | 0.298038 | − | 0.652613i | ||||
\(129\) | −0.850154 | − | 0.981129i | −0.0748518 | − | 0.0863836i | ||||
\(130\) | −0.739858 | −0.0648899 | ||||||||
\(131\) | −4.30399 | + | 2.76600i | −0.376041 | + | 0.241667i | −0.714985 | − | 0.699140i | \(-0.753567\pi\) |
0.338944 | + | 0.940806i | \(0.389930\pi\) | |||||||
\(132\) | −1.84652 | + | 0.761319i | −0.160719 | + | 0.0662643i | ||||
\(133\) | −12.5635 | − | 8.07410i | −1.08940 | − | 0.700114i | ||||
\(134\) | 0.591158 | + | 0.379914i | 0.0510683 | + | 0.0328196i | ||||
\(135\) | 1.74353 | − | 2.01215i | 0.150060 | − | 0.173178i | ||||
\(136\) | 0.591392 | − | 0.682503i | 0.0507114 | − | 0.0585241i | ||||
\(137\) | 2.30970 | + | 5.05754i | 0.197331 | + | 0.432095i | 0.982268 | − | 0.187481i | \(-0.0600321\pi\) |
−0.784937 | + | 0.619575i | \(0.787305\pi\) | |||||||
\(138\) | −0.492773 | − | 3.42731i | −0.0419476 | − | 0.291752i | ||||
\(139\) | 2.07988 | + | 0.610708i | 0.176413 | + | 0.0517996i | 0.368746 | − | 0.929530i | \(-0.379787\pi\) |
−0.192333 | + | 0.981330i | \(0.561605\pi\) | |||||||
\(140\) | 0.357537 | − | 2.48672i | 0.0302174 | − | 0.210167i | ||||
\(141\) | −0.527896 | + | 0.155004i | −0.0444569 | + | 0.0130537i | ||||
\(142\) | 2.69641 | − | 5.90432i | 0.226278 | − | 0.495479i | ||||
\(143\) | 2.72960 | − | 1.12541i | 0.228261 | − | 0.0941116i | ||||
\(144\) | −0.385418 | − | 0.843947i | −0.0321181 | − | 0.0703289i | ||||
\(145\) | −0.190632 | − | 0.220001i | −0.0158311 | − | 0.0182701i | ||||
\(146\) | 0.796820 | + | 5.54200i | 0.0659453 | + | 0.458659i | ||||
\(147\) | 0.999416 | + | 1.15339i | 0.0824305 | + | 0.0951298i | ||||
\(148\) | −9.35117 | −0.768661 | ||||||||
\(149\) | −5.97608 | + | 3.84059i | −0.489580 | + | 0.314634i | −0.762036 | − | 0.647534i | \(-0.775800\pi\) |
0.272457 | + | 0.962168i | \(0.412164\pi\) | |||||||
\(150\) | 0.0544032 | − | 0.378383i | 0.00444201 | − | 0.0308948i | ||||
\(151\) | 9.64992 | − | 6.20163i | 0.785300 | − | 0.504681i | −0.0854890 | − | 0.996339i | \(-0.527245\pi\) |
0.870789 | + | 0.491658i | \(0.163609\pi\) | |||||||
\(152\) | −18.0077 | + | 11.5728i | −1.46061 | + | 0.938680i | ||||
\(153\) | −0.130302 | − | 0.906270i | −0.0105343 | − | 0.0732676i | ||||
\(154\) | −1.29968 | − | 5.12706i | −0.104731 | − | 0.413150i | ||||
\(155\) | 1.15453 | − | 8.02993i | 0.0927341 | − | 0.644979i | ||||
\(156\) | −0.222703 | − | 0.487652i | −0.0178305 | − | 0.0390434i | ||||
\(157\) | 10.8474 | + | 6.97120i | 0.865717 | + | 0.556362i | 0.896440 | − | 0.443166i | \(-0.146145\pi\) |
−0.0307232 | + | 0.999528i | \(0.509781\pi\) | |||||||
\(158\) | 6.60854 | − | 4.24705i | 0.525747 | − | 0.337877i | ||||
\(159\) | −1.40733 | + | 3.08162i | −0.111608 | + | 0.244388i | ||||
\(160\) | −4.86010 | − | 3.12340i | −0.384225 | − | 0.246926i | ||||
\(161\) | −17.3806 | −1.36978 | ||||||||
\(162\) | 5.69424 | + | 1.67198i | 0.447382 | + | 0.131363i | ||||
\(163\) | 13.9693 | − | 16.1214i | 1.09416 | − | 1.26273i | 0.131703 | − | 0.991289i | \(-0.457955\pi\) |
0.962456 | − | 0.271438i | \(-0.0874991\pi\) | |||||||
\(164\) | −9.75890 | − | 11.2624i | −0.762042 | − | 0.879444i | ||||
\(165\) | 0.374852 | + | 1.47874i | 0.0291822 | + | 0.115120i | ||||
\(166\) | −0.0960040 | + | 0.110795i | −0.00745136 | + | 0.00859933i | ||||
\(167\) | −0.731763 | − | 5.08952i | −0.0566255 | − | 0.393839i | −0.998348 | − | 0.0574495i | \(-0.981703\pi\) |
0.941723 | − | 0.336390i | \(-0.109206\pi\) | |||||||
\(168\) | −2.32911 | + | 0.683888i | −0.179695 | + | 0.0527631i | ||||
\(169\) | −5.07119 | − | 11.1044i | −0.390091 | − | 0.854181i | ||||
\(170\) | −0.178708 | − | 0.206240i | −0.0137063 | − | 0.0158179i | ||||
\(171\) | −3.08855 | + | 21.4813i | −0.236187 | + | 1.64272i | ||||
\(172\) | 0.525905 | + | 3.65775i | 0.0400999 | + | 0.278901i | ||||
\(173\) | 6.08885 | + | 13.3327i | 0.462927 | + | 1.01367i | 0.986811 | + | 0.161878i | \(0.0517552\pi\) |
−0.523884 | + | 0.851790i | \(0.675518\pi\) | |||||||
\(174\) | −0.0462279 | + | 0.101225i | −0.00350453 | + | 0.00767385i | ||||
\(175\) | −1.84113 | − | 0.540603i | −0.139176 | − | 0.0408658i | ||||
\(176\) | 1.08568 | + | 0.197712i | 0.0818359 | + | 0.0149031i | ||||
\(177\) | −4.49317 | + | 1.31931i | −0.337727 | + | 0.0991656i | ||||
\(178\) | −0.149643 | + | 1.04079i | −0.0112162 | + | 0.0780107i | ||||
\(179\) | 2.64150 | − | 5.78407i | 0.197435 | − | 0.432322i | −0.784858 | − | 0.619676i | \(-0.787264\pi\) |
0.982292 | + | 0.187354i | \(0.0599912\pi\) | |||||||
\(180\) | −3.50293 | + | 1.02855i | −0.261093 | + | 0.0766639i | ||||
\(181\) | 0.218650 | − | 0.0642013i | 0.0162521 | − | 0.00477205i | −0.273596 | − | 0.961845i | \(-0.588213\pi\) |
0.289849 | + | 0.957073i | \(0.406395\pi\) | |||||||
\(182\) | 1.36217 | − | 0.399970i | 0.100971 | − | 0.0296477i | ||||
\(183\) | 1.92410 | − | 0.564967i | 0.142234 | − | 0.0417636i | ||||
\(184\) | −10.3488 | + | 22.6607i | −0.762925 | + | 1.67057i | ||||
\(185\) | −1.01645 | + | 7.06958i | −0.0747310 | + | 0.519766i | ||||
\(186\) | −2.97558 | + | 0.873708i | −0.218180 | + | 0.0640634i | ||||
\(187\) | 0.973032 | + | 0.489057i | 0.0711551 | + | 0.0357634i | ||||
\(188\) | 1.50265 | + | 0.441217i | 0.109592 | + | 0.0321791i | ||||
\(189\) | −2.12229 | + | 4.64717i | −0.154374 | + | 0.338032i | ||||
\(190\) | 2.68708 | + | 5.88388i | 0.194941 | + | 0.426862i | ||||
\(191\) | 0.219790 | + | 1.52867i | 0.0159034 | + | 0.110611i | 0.996227 | − | 0.0867872i | \(-0.0276600\pi\) |
−0.980323 | + | 0.197398i | \(0.936751\pi\) | |||||||
\(192\) | −0.270739 | + | 1.88303i | −0.0195389 | + | 0.135896i | ||||
\(193\) | 4.28234 | + | 4.94209i | 0.308250 | + | 0.355739i | 0.888645 | − | 0.458596i | \(-0.151647\pi\) |
−0.580395 | + | 0.814335i | \(0.697102\pi\) | |||||||
\(194\) | 3.75853 | + | 8.23004i | 0.269847 | + | 0.590882i | ||||
\(195\) | −0.392877 | + | 0.115359i | −0.0281345 | + | 0.00826103i | ||||
\(196\) | −0.618239 | − | 4.29995i | −0.0441599 | − | 0.307139i | ||||
\(197\) | 4.11928 | − | 4.75390i | 0.293487 | − | 0.338702i | −0.589788 | − | 0.807558i | \(-0.700789\pi\) |
0.883274 | + | 0.468857i | \(0.155334\pi\) | |||||||
\(198\) | −5.99267 | + | 4.81305i | −0.425881 | + | 0.342049i | ||||
\(199\) | −13.3941 | − | 15.4576i | −0.949480 | − | 1.09576i | −0.995303 | − | 0.0968083i | \(-0.969137\pi\) |
0.0458235 | − | 0.998950i | \(-0.485409\pi\) | |||||||
\(200\) | −1.80109 | + | 2.07857i | −0.127356 | + | 0.146977i | ||||
\(201\) | 0.373151 | + | 0.109567i | 0.0263201 | + | 0.00772826i | ||||
\(202\) | 0.307649 | 0.0216461 | ||||||||
\(203\) | 0.469911 | + | 0.301994i | 0.0329813 | + | 0.0211958i | ||||
\(204\) | 0.0821432 | − | 0.179869i | 0.00575118 | − | 0.0125933i | ||||
\(205\) | −9.57524 | + | 6.15363i | −0.668764 | + | 0.429788i | ||||
\(206\) | 4.58318 | + | 2.94543i | 0.319325 | + | 0.205218i | ||||
\(207\) | 10.4922 | + | 22.9746i | 0.729256 | + | 1.59685i | ||||
\(208\) | −0.0421534 | + | 0.293184i | −0.00292282 | + | 0.0203286i | ||||
\(209\) | −18.8637 | − | 17.6204i | −1.30483 | − | 1.21883i | ||||
\(210\) | 0.104392 | + | 0.726061i | 0.00720372 | + | 0.0501029i | ||||
\(211\) | 0.327311 | − | 0.210350i | 0.0225330 | − | 0.0144811i | −0.529326 | − | 0.848419i | \(-0.677555\pi\) |
0.551859 | + | 0.833938i | \(0.313919\pi\) | |||||||
\(212\) | 8.11239 | − | 5.21352i | 0.557161 | − | 0.358066i | ||||
\(213\) | 0.511234 | − | 3.55571i | 0.0350292 | − | 0.243633i | ||||
\(214\) | −5.24395 | + | 3.37008i | −0.358469 | + | 0.230374i | ||||
\(215\) | 2.82246 | 0.192490 | ||||||||
\(216\) | 4.79531 | + | 5.53409i | 0.326280 | + | 0.376547i | ||||
\(217\) | 2.21537 | + | 15.4082i | 0.150389 | + | 1.04598i | ||||
\(218\) | −8.60476 | − | 9.93043i | −0.582788 | − | 0.672573i | ||||
\(219\) | 1.28724 | + | 2.81865i | 0.0869833 | + | 0.190467i | ||||
\(220\) | 1.37805 | − | 4.11789i | 0.0929082 | − | 0.277628i | ||||
\(221\) | −0.121427 | + | 0.265889i | −0.00816809 | + | 0.0178856i | ||||
\(222\) | 2.61971 | − | 0.769216i | 0.175823 | − | 0.0516264i | ||||
\(223\) | 1.57140 | − | 10.9293i | 0.105229 | − | 0.731881i | −0.867078 | − | 0.498172i | \(-0.834005\pi\) |
0.972307 | − | 0.233709i | \(-0.0750863\pi\) | |||||||
\(224\) | 10.6366 | + | 3.12318i | 0.710686 | + | 0.208676i | ||||
\(225\) | 0.396836 | + | 2.76005i | 0.0264557 | + | 0.184004i | ||||
\(226\) | 0.560869 | + | 1.22813i | 0.0373085 | + | 0.0816941i | ||||
\(227\) | 17.2113 | − | 19.8629i | 1.14235 | − | 1.31835i | 0.201519 | − | 0.979485i | \(-0.435412\pi\) |
0.940836 | − | 0.338863i | \(-0.110042\pi\) | |||||||
\(228\) | −3.06932 | + | 3.54219i | −0.203271 | + | 0.234587i | ||||
\(229\) | 9.26708 | + | 5.95559i | 0.612386 | + | 0.393556i | 0.809751 | − | 0.586774i | \(-0.199602\pi\) |
−0.197365 | + | 0.980330i | \(0.563239\pi\) | |||||||
\(230\) | 6.33291 | + | 4.06991i | 0.417579 | + | 0.268362i | ||||
\(231\) | −1.48956 | − | 2.51991i | −0.0980060 | − | 0.165798i | ||||
\(232\) | 0.673536 | − | 0.432855i | 0.0442198 | − | 0.0284183i | ||||
\(233\) | 19.4942 | 1.27711 | 0.638554 | − | 0.769577i | \(-0.279533\pi\) | ||||
0.638554 | + | 0.769577i | \(0.279533\pi\) | |||||||
\(234\) | −1.35101 | − | 1.55915i | −0.0883182 | − | 0.101925i | ||||
\(235\) | 0.496899 | − | 1.08806i | 0.0324141 | − | 0.0709771i | ||||
\(236\) | 12.7897 | + | 3.75540i | 0.832541 | + | 0.244456i | ||||
\(237\) | 2.84704 | − | 3.28566i | 0.184935 | − | 0.213427i | ||||
\(238\) | 0.440517 | + | 0.283103i | 0.0285545 | + | 0.0183509i | ||||
\(239\) | −22.7950 | −1.47449 | −0.737243 | − | 0.675627i | \(-0.763873\pi\) | ||||
−0.737243 | + | 0.675627i | \(0.763873\pi\) | |||||||
\(240\) | −0.146842 | − | 0.0431167i | −0.00947862 | − | 0.00278317i | ||||
\(241\) | −12.0913 | −0.778870 | −0.389435 | − | 0.921054i | \(-0.627330\pi\) | ||||
−0.389435 | + | 0.921054i | \(0.627330\pi\) | |||||||
\(242\) | −0.622357 | − | 9.12091i | −0.0400066 | − | 0.586314i | ||||
\(243\) | 11.2718 | 0.723085 | ||||||||
\(244\) | −5.47692 | − | 1.60817i | −0.350624 | − | 0.102953i | ||||
\(245\) | −3.31801 | −0.211980 | ||||||||
\(246\) | 3.66036 | + | 2.35237i | 0.233376 | + | 0.149982i | ||||
\(247\) | 4.53719 | − | 5.23620i | 0.288695 | − | 0.333171i | ||||
\(248\) | 21.4083 | + | 6.28606i | 1.35943 | + | 0.399165i | ||||
\(249\) | −0.0337046 | + | 0.0738027i | −0.00213594 | + | 0.00467706i | ||||
\(250\) | 0.544256 | + | 0.628105i | 0.0344218 | + | 0.0397248i | ||||
\(251\) | 10.1269 | 0.639202 | 0.319601 | − | 0.947552i | \(-0.396451\pi\) | ||||
0.319601 | + | 0.947552i | \(0.396451\pi\) | |||||||
\(252\) | 5.89330 | − | 3.78739i | 0.371243 | − | 0.238583i | ||||
\(253\) | −29.5552 | − | 5.38227i | −1.85812 | − | 0.338381i | ||||
\(254\) | 5.33675 | + | 3.42972i | 0.334858 | + | 0.215200i | ||||
\(255\) | −0.127054 | − | 0.0816525i | −0.00795641 | − | 0.00511328i | ||||
\(256\) | 9.83472 | − | 11.3499i | 0.614670 | − | 0.709367i | ||||
\(257\) | −0.0594078 | + | 0.0685602i | −0.00370576 | + | 0.00427667i | −0.757599 | − | 0.652720i | \(-0.773628\pi\) |
0.753894 | + | 0.656996i | \(0.228173\pi\) | |||||||
\(258\) | −0.448213 | − | 0.981450i | −0.0279045 | − | 0.0611024i | ||||
\(259\) | −1.95042 | − | 13.5655i | −0.121193 | − | 0.842918i | ||||
\(260\) | 1.11832 | + | 0.328368i | 0.0693551 | + | 0.0203645i | ||||
\(261\) | 0.115520 | − | 0.803462i | 0.00715053 | − | 0.0497330i | ||||
\(262\) | −4.07981 | + | 1.19794i | −0.252051 | + | 0.0740090i | ||||
\(263\) | −11.6651 | + | 25.5430i | −0.719301 | + | 1.57505i | 0.0955815 | + | 0.995422i | \(0.469529\pi\) |
−0.814882 | + | 0.579627i | \(0.803198\pi\) | |||||||
\(264\) | −4.17237 | + | 0.441674i | −0.256792 | + | 0.0271832i | ||||
\(265\) | −3.05967 | − | 6.69975i | −0.187954 | − | 0.411562i | ||||
\(266\) | −8.12809 | − | 9.38032i | −0.498365 | − | 0.575144i | ||||
\(267\) | 0.0828178 | + | 0.576010i | 0.00506836 | + | 0.0352512i | ||||
\(268\) | −0.724938 | − | 0.836623i | −0.0442826 | − | 0.0511049i | ||||
\(269\) | 19.9485 | 1.21628 | 0.608141 | − | 0.793829i | \(-0.291915\pi\) | ||||
0.608141 | + | 0.793829i | \(0.291915\pi\) | |||||||
\(270\) | 1.86150 | − | 1.19631i | 0.113287 | − | 0.0728053i | ||||
\(271\) | 0.757160 | − | 5.26617i | 0.0459942 | − | 0.319897i | −0.953816 | − | 0.300393i | \(-0.902882\pi\) |
0.999810 | − | 0.0195039i | \(-0.00620869\pi\) | |||||||
\(272\) | −0.0919085 | + | 0.0590660i | −0.00557277 | + | 0.00358140i | ||||
\(273\) | 0.660972 | − | 0.424781i | 0.0400038 | − | 0.0257089i | ||||
\(274\) | 0.657624 | + | 4.57388i | 0.0397285 | + | 0.276318i | ||||
\(275\) | −2.96338 | − | 1.48943i | −0.178698 | − | 0.0898159i | ||||
\(276\) | −0.776286 | + | 5.39919i | −0.0467269 | + | 0.324993i | ||||
\(277\) | −11.0052 | − | 24.0981i | −0.661240 | − | 1.44791i | −0.881362 | − | 0.472441i | \(-0.843373\pi\) |
0.220122 | − | 0.975472i | \(-0.429354\pi\) | |||||||
\(278\) | 1.51558 | + | 0.974002i | 0.0908982 | + | 0.0584167i | ||||
\(279\) | 19.0302 | − | 12.2299i | 1.13931 | − | 0.732188i | ||||
\(280\) | 2.19235 | − | 4.80058i | 0.131018 | − | 0.286889i | ||||
\(281\) | −21.4140 | − | 13.7619i | −1.27745 | − | 0.820968i | −0.286880 | − | 0.957966i | \(-0.592618\pi\) |
−0.990571 | + | 0.136998i | \(0.956255\pi\) | |||||||
\(282\) | −0.457257 | −0.0272293 | ||||||||
\(283\) | 3.42566 | + | 1.00587i | 0.203634 | + | 0.0597925i | 0.381959 | − | 0.924179i | \(-0.375250\pi\) |
−0.178325 | + | 0.983972i | \(0.557068\pi\) | |||||||
\(284\) | −6.69619 | + | 7.72782i | −0.397346 | + | 0.458561i | ||||
\(285\) | 2.34430 | + | 2.70547i | 0.138864 | + | 0.160258i | ||||
\(286\) | 2.44020 | − | 0.258312i | 0.144292 | − | 0.0152743i | ||||
\(287\) | 14.3025 | − | 16.5060i | 0.844253 | − | 0.974319i | ||||
\(288\) | −2.29260 | − | 15.9454i | −0.135093 | − | 0.939593i | ||||
\(289\) | 16.2079 | − | 4.75908i | 0.953408 | − | 0.279946i | ||||
\(290\) | −0.100504 | − | 0.220073i | −0.00590180 | − | 0.0129232i | ||||
\(291\) | 3.27907 | + | 3.78425i | 0.192223 | + | 0.221837i | ||||
\(292\) | 1.25526 | − | 8.73055i | 0.0734588 | − | 0.510917i | ||||
\(293\) | 2.16386 | + | 15.0500i | 0.126414 | + | 0.879228i | 0.950048 | + | 0.312105i | \(0.101034\pi\) |
−0.823634 | + | 0.567122i | \(0.808057\pi\) | |||||||
\(294\) | 0.526907 | + | 1.15377i | 0.0307298 | + | 0.0672889i | ||||
\(295\) | 4.22934 | − | 9.26097i | 0.246242 | − | 0.539194i | ||||
\(296\) | −18.8480 | − | 5.53427i | −1.09552 | − | 0.321673i | ||||
\(297\) | −5.04801 | + | 7.24519i | −0.292915 | + | 0.420408i | ||||
\(298\) | −5.66481 | + | 1.66334i | −0.328154 | + | 0.0963546i | ||||
\(299\) | 1.14754 | − | 7.98129i | 0.0663638 | − | 0.461570i | ||||
\(300\) | −0.250168 | + | 0.547791i | −0.0144435 | + | 0.0316268i | ||||
\(301\) | −5.19651 | + | 1.52583i | −0.299522 | + | 0.0879475i | ||||
\(302\) | 9.14730 | − | 2.68589i | 0.526368 | − | 0.154556i | ||||
\(303\) | 0.163367 | − | 0.0479687i | 0.00938516 | − | 0.00275573i | ||||
\(304\) | 2.48470 | − | 0.729574i | 0.142507 | − | 0.0418439i | ||||
\(305\) | −1.81112 | + | 3.96581i | −0.103705 | + | 0.227081i | ||||
\(306\) | 0.108294 | − | 0.753203i | 0.00619077 | − | 0.0430577i | ||||
\(307\) | −27.9210 | + | 8.19836i | −1.59354 | + | 0.467905i | −0.953739 | − | 0.300637i | \(-0.902801\pi\) |
−0.639800 | + | 0.768542i | \(0.720983\pi\) | |||||||
\(308\) | −0.311021 | + | 8.32653i | −0.0177221 | + | 0.474448i | ||||
\(309\) | 2.89300 | + | 0.849460i | 0.164577 | + | 0.0483241i | ||||
\(310\) | 2.80086 | − | 6.13303i | 0.159078 | − | 0.348332i | ||||
\(311\) | −11.7819 | − | 25.7988i | −0.668090 | − | 1.46291i | −0.874786 | − | 0.484509i | \(-0.838998\pi\) |
0.206696 | − | 0.978405i | \(-0.433729\pi\) | |||||||
\(312\) | −0.160270 | − | 1.11470i | −0.00907348 | − | 0.0631074i | ||||
\(313\) | −1.52473 | + | 10.6047i | −0.0861830 | + | 0.599416i | 0.900265 | + | 0.435342i | \(0.143373\pi\) |
−0.986448 | + | 0.164074i | \(0.947536\pi\) | |||||||
\(314\) | 7.01781 | + | 8.09899i | 0.396038 | + | 0.457052i | ||||
\(315\) | −2.22272 | − | 4.86708i | −0.125236 | − | 0.274229i | ||||
\(316\) | −11.8740 | + | 3.48651i | −0.667962 | + | 0.196131i | ||||
\(317\) | 1.30987 | + | 9.11035i | 0.0735696 | + | 0.511688i | 0.992970 | + | 0.118365i | \(0.0377654\pi\) |
−0.919400 | + | 0.393323i | \(0.871326\pi\) | |||||||
\(318\) | −1.84381 | + | 2.12787i | −0.103396 | + | 0.119325i | ||||
\(319\) | 0.705553 | + | 0.659051i | 0.0395034 | + | 0.0368998i | ||||
\(320\) | −2.70850 | − | 3.12578i | −0.151410 | − | 0.174736i | ||||
\(321\) | −2.25916 | + | 2.60721i | −0.126094 | + | 0.145520i | ||||
\(322\) | −13.8599 | − | 4.06963i | −0.772381 | − | 0.226792i | ||||
\(323\) | 2.55555 | 0.142194 | ||||||||
\(324\) | −7.86495 | − | 5.05450i | −0.436942 | − | 0.280805i | ||||
\(325\) | 0.369808 | − | 0.809767i | 0.0205133 | − | 0.0449178i | ||||
\(326\) | 14.9144 | − | 9.58492i | 0.826033 | − | 0.530859i | ||||
\(327\) | −6.11763 | − | 3.93156i | −0.338306 | − | 0.217416i | ||||
\(328\) | −13.0044 | − | 28.4757i | −0.718050 | − | 1.57231i | ||||
\(329\) | −0.326646 | + | 2.27188i | −0.0180086 | + | 0.125253i | ||||
\(330\) | −0.0473253 | + | 1.26698i | −0.00260517 | + | 0.0697447i | ||||
\(331\) | −3.53564 | − | 24.5909i | −0.194336 | − | 1.35164i | −0.820366 | − | 0.571839i | \(-0.806230\pi\) |
0.626030 | − | 0.779799i | \(-0.284679\pi\) | |||||||
\(332\) | 0.194286 | − | 0.124860i | 0.0106629 | − | 0.00685260i | ||||
\(333\) | −16.7542 | + | 10.7673i | −0.918126 | + | 0.590044i | ||||
\(334\) | 0.608170 | − | 4.22991i | 0.0332776 | − | 0.231450i | ||||
\(335\) | −0.711295 | + | 0.457121i | −0.0388622 | + | 0.0249752i | ||||
\(336\) | 0.293664 | 0.0160207 | ||||||||
\(337\) | −1.20474 | − | 1.39034i | −0.0656262 | − | 0.0757367i | 0.721987 | − | 0.691906i | \(-0.243229\pi\) |
−0.787613 | + | 0.616170i | \(0.788684\pi\) | |||||||
\(338\) | −1.44388 | − | 10.0424i | −0.0785368 | − | 0.546236i | ||||
\(339\) | 0.489322 | + | 0.564707i | 0.0265763 | + | 0.0306707i | ||||
\(340\) | 0.178588 | + | 0.391052i | 0.00968528 | + | 0.0212078i | ||||
\(341\) | −1.00432 | + | 26.8874i | −0.0543872 | + | 1.45603i | ||||
\(342\) | −7.49275 | + | 16.4068i | −0.405161 | + | 0.887180i | ||||
\(343\) | 18.9967 | − | 5.57795i | 1.02573 | − | 0.301181i | ||||
\(344\) | −1.10475 | + | 7.68372i | −0.0595642 | + | 0.414278i | ||||
\(345\) | 3.99746 | + | 1.17376i | 0.215216 | + | 0.0631931i | ||||
\(346\) | 1.73363 | + | 12.0577i | 0.0932007 | + | 0.648225i | ||||
\(347\) | 13.1628 | + | 28.8226i | 0.706618 | + | 1.54728i | 0.831758 | + | 0.555139i | \(0.187335\pi\) |
−0.125139 | + | 0.992139i | \(0.539938\pi\) | |||||||
\(348\) | 0.114801 | − | 0.132487i | 0.00615398 | − | 0.00710207i | ||||
\(349\) | 16.4668 | − | 19.0037i | 0.881448 | − | 1.01725i | −0.118258 | − | 0.992983i | \(-0.537731\pi\) |
0.999706 | − | 0.0242624i | \(-0.00772370\pi\) | |||||||
\(350\) | −1.34160 | − | 0.862193i | −0.0717115 | − | 0.0460862i | ||||
\(351\) | −1.99390 | − | 1.28140i | −0.106426 | − | 0.0683961i | ||||
\(352\) | 17.1201 | + | 8.60474i | 0.912502 | + | 0.458634i | ||||
\(353\) | 10.6754 | − | 6.86067i | 0.568195 | − | 0.365157i | −0.224781 | − | 0.974409i | \(-0.572167\pi\) |
0.792976 | + | 0.609252i | \(0.208530\pi\) | |||||||
\(354\) | −3.89193 | −0.206854 | ||||||||
\(355\) | 5.11445 | + | 5.90239i | 0.271447 | + | 0.313266i | ||||
\(356\) | 0.688120 | − | 1.50677i | 0.0364703 | − | 0.0798588i | ||||
\(357\) | 0.278063 | + | 0.0816468i | 0.0147167 | + | 0.00432121i | ||||
\(358\) | 3.46076 | − | 3.99393i | 0.182907 | − | 0.211086i | ||||
\(359\) | 16.6776 | + | 10.7180i | 0.880210 | + | 0.565676i | 0.900860 | − | 0.434110i | \(-0.142937\pi\) |
−0.0206500 | + | 0.999787i | \(0.506574\pi\) | |||||||
\(360\) | −7.66915 | −0.404200 | ||||||||
\(361\) | −39.8902 | − | 11.7128i | −2.09948 | − | 0.616464i | ||||
\(362\) | 0.189392 | 0.00995421 | ||||||||
\(363\) | −1.75262 | − | 4.74631i | −0.0919886 | − | 0.249117i | ||||
\(364\) | −2.23648 | −0.117223 | ||||||||
\(365\) | −6.46394 | − | 1.89798i | −0.338338 | − | 0.0993451i | ||||
\(366\) | 1.66663 | 0.0871163 | ||||||||
\(367\) | 18.8039 | + | 12.0846i | 0.981557 | + | 0.630809i | 0.929883 | − | 0.367855i | \(-0.119908\pi\) |
0.0516743 | + | 0.998664i | \(0.483544\pi\) | |||||||
\(368\) | 1.97360 | − | 2.27766i | 0.102881 | − | 0.118731i | ||||
\(369\) | −30.4527 | − | 8.94171i | −1.58530 | − | 0.465487i | ||||
\(370\) | −2.46589 | + | 5.39954i | −0.128195 | + | 0.280709i | ||||
\(371\) | 9.25515 | + | 10.6810i | 0.480503 | + | 0.554530i | ||||
\(372\) | 4.88545 | 0.253299 | ||||||||
\(373\) | 11.4819 | − | 7.37899i | 0.594512 | − | 0.382070i | −0.208509 | − | 0.978020i | \(-0.566861\pi\) |
0.803021 | + | 0.595951i | \(0.203225\pi\) | |||||||
\(374\) | 0.661419 | + | 0.617826i | 0.0342012 | + | 0.0319470i | ||||
\(375\) | 0.386943 | + | 0.248673i | 0.0199817 | + | 0.0128414i | ||||
\(376\) | 2.76758 | + | 1.77861i | 0.142727 | + | 0.0917249i | ||||
\(377\) | −0.169703 | + | 0.195848i | −0.00874017 | + | 0.0100867i | ||||
\(378\) | −2.78052 | + | 3.20889i | −0.143015 | + | 0.165048i | ||||
\(379\) | −0.269407 | − | 0.589919i | −0.0138385 | − | 0.0303021i | 0.902587 | − | 0.430508i | \(-0.141666\pi\) |
−0.916425 | + | 0.400206i | \(0.868938\pi\) | |||||||
\(380\) | −1.45018 | − | 10.0863i | −0.0743929 | − | 0.517414i | ||||
\(381\) | 3.36867 | + | 0.989130i | 0.172582 | + | 0.0506747i | ||||
\(382\) | −0.182668 | + | 1.27048i | −0.00934609 | + | 0.0650035i | ||||
\(383\) | −32.1988 | + | 9.45443i | −1.64528 | + | 0.483099i | −0.967649 | − | 0.252300i | \(-0.918813\pi\) |
−0.677635 | + | 0.735399i | \(0.736995\pi\) | |||||||
\(384\) | 1.55095 | − | 3.39610i | 0.0791465 | − | 0.173307i | ||||
\(385\) | 6.26114 | + | 1.14021i | 0.319097 | + | 0.0581106i | ||||
\(386\) | 2.25771 | + | 4.94370i | 0.114915 | + | 0.251628i | ||||
\(387\) | 5.15392 | + | 5.94794i | 0.261989 | + | 0.302351i | ||||
\(388\) | −2.02844 | − | 14.1081i | −0.102978 | − | 0.716229i | ||||
\(389\) | 4.56016 | + | 5.26271i | 0.231209 | + | 0.266830i | 0.859485 | − | 0.511161i | \(-0.170784\pi\) |
−0.628276 | + | 0.777991i | \(0.716239\pi\) | |||||||
\(390\) | −0.340305 | −0.0172320 | ||||||||
\(391\) | 2.50201 | − | 1.60794i | 0.126532 | − | 0.0813172i | ||||
\(392\) | 1.29871 | − | 9.03276i | 0.0655950 | − | 0.456223i | ||||
\(393\) | −1.97966 | + | 1.27225i | −0.0998608 | + | 0.0641766i | ||||
\(394\) | 4.39798 | − | 2.82641i | 0.221567 | − | 0.142393i | ||||
\(395\) | 1.34516 | + | 9.35581i | 0.0676825 | + | 0.470742i | ||||
\(396\) | 11.1943 | − | 4.61537i | 0.562532 | − | 0.231931i | ||||
\(397\) | 4.73927 | − | 32.9623i | 0.237857 | − | 1.65433i | −0.424710 | − | 0.905329i | \(-0.639624\pi\) |
0.662567 | − | 0.749003i | \(-0.269467\pi\) | |||||||
\(398\) | −7.06154 | − | 15.4626i | −0.353963 | − | 0.775071i | ||||
\(399\) | −5.77873 | − | 3.71377i | −0.289299 | − | 0.185921i | ||||
\(400\) | 0.279908 | − | 0.179886i | 0.0139954 | − | 0.00899430i | ||||
\(401\) | 8.62241 | − | 18.8804i | 0.430583 | − | 0.942844i | −0.562649 | − | 0.826696i | \(-0.690218\pi\) |
0.993232 | − | 0.116149i | \(-0.0370549\pi\) | |||||||
\(402\) | 0.271909 | + | 0.174746i | 0.0135616 | + | 0.00871551i | ||||
\(403\) | −7.22186 | −0.359747 | ||||||||
\(404\) | −0.465020 | − | 0.136542i | −0.0231356 | − | 0.00679323i | ||||
\(405\) | −4.67616 | + | 5.39657i | −0.232360 | + | 0.268158i | ||||
\(406\) | 0.304013 | + | 0.350850i | 0.0150879 | + | 0.0174124i | ||||
\(407\) | 0.884210 | − | 23.6717i | 0.0438287 | − | 1.17336i | ||||
\(408\) | 0.272017 | − | 0.313924i | 0.0134668 | − | 0.0155416i | ||||
\(409\) | 2.84340 | + | 19.7763i | 0.140597 | + | 0.977876i | 0.930930 | + | 0.365198i | \(0.118999\pi\) |
−0.790333 | + | 0.612678i | \(0.790092\pi\) | |||||||
\(410\) | −9.07651 | + | 2.66510i | −0.448257 | + | 0.131620i | ||||
\(411\) | 1.06237 | + | 2.32627i | 0.0524029 | + | 0.114746i | ||||
\(412\) | −5.62036 | − | 6.48624i | −0.276895 | − | 0.319554i | ||||
\(413\) | −2.78024 | + | 19.3370i | −0.136807 | + | 0.951511i | ||||
\(414\) | 2.98736 | + | 20.7775i | 0.146821 | + | 1.02116i | ||||
\(415\) | −0.0732771 | − | 0.160455i | −0.00359703 | − | 0.00787640i | ||||
\(416\) | −2.13646 | + | 4.67819i | −0.104749 | + | 0.229367i | ||||
\(417\) | 0.956662 | + | 0.280901i | 0.0468480 | + | 0.0137558i | ||||
\(418\) | −10.9168 | − | 18.4680i | −0.533958 | − | 0.903301i | ||||
\(419\) | 14.0882 | − | 4.13668i | 0.688256 | − | 0.202090i | 0.0811391 | − | 0.996703i | \(-0.474144\pi\) |
0.607117 | + | 0.794613i | \(0.292326\pi\) | |||||||
\(420\) | 0.164453 | − | 1.14379i | 0.00802447 | − | 0.0558114i | ||||
\(421\) | 6.89544 | − | 15.0989i | 0.336063 | − | 0.735876i | −0.663865 | − | 0.747852i | \(-0.731085\pi\) |
0.999928 | + | 0.0119765i | \(0.00381232\pi\) | |||||||
\(422\) | 0.310262 | − | 0.0911012i | 0.0151033 | − | 0.00443474i | ||||
\(423\) | 3.20029 | − | 0.939689i | 0.155603 | − | 0.0456892i | ||||
\(424\) | 19.4366 | − | 5.70711i | 0.943926 | − | 0.277162i | ||||
\(425\) | 0.315052 | − | 0.0925075i | 0.0152823 | − | 0.00448728i | ||||
\(426\) | 1.24024 | − | 2.71575i | 0.0600899 | − | 0.131579i | ||||
\(427\) | 1.19058 | − | 8.28064i | 0.0576160 | − | 0.400728i | ||||
\(428\) | 9.42212 | − | 2.76658i | 0.455435 | − | 0.133728i | ||||
\(429\) | 1.25551 | − | 0.517645i | 0.0606166 | − | 0.0249921i | ||||
\(430\) | 2.25073 | + | 0.660875i | 0.108540 | + | 0.0318702i | ||||
\(431\) | −4.34919 | + | 9.52341i | −0.209493 | + | 0.458726i | −0.984987 | − | 0.172629i | \(-0.944774\pi\) |
0.775494 | + | 0.631355i | \(0.217501\pi\) | |||||||
\(432\) | −0.368004 | − | 0.805816i | −0.0177056 | − | 0.0387698i | ||||
\(433\) | −0.850254 | − | 5.91365i | −0.0408606 | − | 0.284192i | −0.999999 | − | 0.00125517i | \(-0.999600\pi\) |
0.959139 | − | 0.282937i | \(-0.0913086\pi\) | |||||||
\(434\) | −1.84120 | + | 12.8058i | −0.0883804 | + | 0.614699i | ||||
\(435\) | −0.0876833 | − | 0.101192i | −0.00420409 | − | 0.00485178i | ||||
\(436\) | 8.59898 | + | 18.8292i | 0.411817 | + | 0.901753i | ||||
\(437\) | −67.6406 | + | 19.8611i | −3.23569 | + | 0.950084i | ||||
\(438\) | 0.366505 | + | 2.54910i | 0.0175123 | + | 0.121801i | ||||
\(439\) | 14.8325 | − | 17.1176i | 0.707914 | − | 0.816977i | −0.281884 | − | 0.959448i | \(-0.590959\pi\) |
0.989799 | + | 0.142472i | \(0.0455049\pi\) | |||||||
\(440\) | 5.21464 | − | 7.48435i | 0.248598 | − | 0.356803i | ||||
\(441\) | −6.05880 | − | 6.99223i | −0.288514 | − | 0.332963i | ||||
\(442\) | −0.159088 | + | 0.183597i | −0.00756705 | + | 0.00873284i | ||||
\(443\) | 35.8498 | + | 10.5265i | 1.70328 | + | 0.500127i | 0.981413 | − | 0.191908i | \(-0.0614676\pi\) |
0.721864 | + | 0.692035i | \(0.243286\pi\) | |||||||
\(444\) | −4.30117 | −0.204124 | ||||||||
\(445\) | −1.06434 | − | 0.684009i | −0.0504545 | − | 0.0324251i | ||||
\(446\) | 3.81217 | − | 8.34750i | 0.180512 | − | 0.395265i | ||||
\(447\) | −2.74876 | + | 1.76652i | −0.130012 | + | 0.0835535i | ||||
\(448\) | 6.67649 | + | 4.29072i | 0.315435 | + | 0.202718i | ||||
\(449\) | 2.60940 | + | 5.71380i | 0.123145 | + | 0.269651i | 0.961157 | − | 0.276001i | \(-0.0890093\pi\) |
−0.838012 | + | 0.545652i | \(0.816282\pi\) | |||||||
\(450\) | −0.329811 | + | 2.29389i | −0.0155474 | + | 0.108135i | ||||
\(451\) | 29.4326 | − | 23.6390i | 1.38593 | − | 1.11312i | ||||
\(452\) | −0.302694 | − | 2.10529i | −0.0142376 | − | 0.0990243i | ||||
\(453\) | 4.43858 | − | 2.85250i | 0.208543 | − | 0.134022i | ||||
\(454\) | 18.3758 | − | 11.8094i | 0.862419 | − | 0.554243i | ||||
\(455\) | −0.243101 | + | 1.69080i | −0.0113967 | + | 0.0792660i | ||||
\(456\) | −8.28281 | + | 5.32304i | −0.387878 | + | 0.249274i | ||||
\(457\) | 4.93947 | 0.231059 | 0.115529 | − | 0.993304i | \(-0.463144\pi\) | ||||
0.115529 | + | 0.993304i | \(0.463144\pi\) | |||||||
\(458\) | 5.99541 | + | 6.91907i | 0.280147 | + | 0.323307i | ||||
\(459\) | −0.124415 | − | 0.865324i | −0.00580718 | − | 0.0403898i | ||||
\(460\) | −7.76605 | − | 8.96250i | −0.362094 | − | 0.417879i | ||||
\(461\) | −2.62520 | − | 5.74839i | −0.122268 | − | 0.267729i | 0.838594 | − | 0.544757i | \(-0.183378\pi\) |
−0.960862 | + | 0.277028i | \(0.910651\pi\) | |||||||
\(462\) | −0.597799 | − | 2.35824i | −0.0278121 | − | 0.109715i | ||||
\(463\) | −15.2052 | + | 33.2947i | −0.706645 | + | 1.54734i | 0.125079 | + | 0.992147i | \(0.460082\pi\) |
−0.831724 | + | 0.555190i | \(0.812646\pi\) | |||||||
\(464\) | −0.0929347 | + | 0.0272881i | −0.00431438 | + | 0.00126682i | ||||
\(465\) | 0.531038 | − | 3.69345i | 0.0246263 | − | 0.171280i | ||||
\(466\) | 15.5454 | + | 4.56454i | 0.720127 | + | 0.211448i | ||||
\(467\) | 5.79014 | + | 40.2713i | 0.267936 | + | 1.86353i | 0.467971 | + | 0.883744i | \(0.344985\pi\) |
−0.200035 | + | 0.979789i | \(0.564106\pi\) | |||||||
\(468\) | 1.35010 | + | 2.95631i | 0.0624085 | + | 0.136655i | ||||
\(469\) | 1.06246 | − | 1.22615i | 0.0490599 | − | 0.0566182i | ||||
\(470\) | 0.651012 | − | 0.751308i | 0.0300290 | − | 0.0346553i | ||||
\(471\) | 4.98937 | + | 3.20647i | 0.229898 | + | 0.147747i | ||||
\(472\) | 23.5561 | + | 15.1386i | 1.08426 | + | 0.696811i | ||||
\(473\) | −9.30904 | + | 0.985425i | −0.428030 | + | 0.0453099i | ||||
\(474\) | 3.03967 | − | 1.95348i | 0.139617 | − | 0.0897261i | ||||
\(475\) | −7.78294 | −0.357106 | ||||||||
\(476\) | −0.540207 | − | 0.623432i | −0.0247603 | − | 0.0285749i | ||||
\(477\) | 8.53170 | − | 18.6818i | 0.390640 | − | 0.855382i | ||||
\(478\) | −18.1776 | − | 5.33742i | −0.831423 | − | 0.244128i | ||||
\(479\) | −22.5639 | + | 26.0401i | −1.03097 | + | 1.18980i | −0.0493846 | + | 0.998780i | \(0.515726\pi\) |
−0.981586 | + | 0.191023i | \(0.938819\pi\) | |||||||
\(480\) | −2.23545 | − | 1.43664i | −0.102034 | − | 0.0655732i | ||||
\(481\) | 6.35815 | 0.289907 | ||||||||
\(482\) | −9.64205 | − | 2.83116i | −0.439183 | − | 0.128956i | ||||
\(483\) | −7.99436 | −0.363756 | ||||||||
\(484\) | −3.10738 | + | 14.0627i | −0.141245 | + | 0.639216i | ||||
\(485\) | −10.8863 | −0.494323 | ||||||||
\(486\) | 8.98853 | + | 2.63927i | 0.407728 | + | 0.119720i | ||||
\(487\) | −37.0287 | −1.67793 | −0.838964 | − | 0.544187i | \(-0.816838\pi\) | ||||
−0.838964 | + | 0.544187i | \(0.816838\pi\) | |||||||
\(488\) | −10.0874 | − | 6.48277i | −0.456635 | − | 0.293461i | ||||
\(489\) | 6.42532 | − | 7.41521i | 0.290563 | − | 0.335327i | ||||
\(490\) | −2.64590 | − | 0.776906i | −0.119530 | − | 0.0350970i | ||||
\(491\) | −8.09818 | + | 17.7325i | −0.365466 | + | 0.800258i | 0.634168 | + | 0.773195i | \(0.281343\pi\) |
−0.999634 | + | 0.0270629i | \(0.991385\pi\) | |||||||
\(492\) | −4.48871 | − | 5.18024i | −0.202367 | − | 0.233543i | ||||
\(493\) | −0.0955845 | −0.00430491 | ||||||||
\(494\) | 4.84417 | − | 3.11316i | 0.217950 | − | 0.140068i | ||||
\(495\) | −2.27248 | − | 8.96465i | −0.102140 | − | 0.402931i | ||||
\(496\) | −2.27076 | − | 1.45933i | −0.101960 | − | 0.0655257i | ||||
\(497\) | −12.6072 | − | 8.10215i | −0.565509 | − | 0.363431i | ||||
\(498\) | −0.0441580 | + | 0.0509611i | −0.00197877 | + | 0.00228362i | ||||
\(499\) | 4.68537 | − | 5.40720i | 0.209746 | − | 0.242060i | −0.641123 | − | 0.767439i | \(-0.721531\pi\) |
0.850868 | + | 0.525379i | \(0.176076\pi\) | |||||||
\(500\) | −0.543890 | − | 1.19095i | −0.0243235 | − | 0.0532611i | ||||
\(501\) | −0.336582 | − | 2.34098i | −0.0150374 | − | 0.104587i | ||||
\(502\) | 8.07553 | + | 2.37119i | 0.360429 | + | 0.105831i | ||||
\(503\) | −2.24866 | + | 15.6398i | −0.100263 | + | 0.697342i | 0.876246 | + | 0.481864i | \(0.160040\pi\) |
−0.976509 | + | 0.215478i | \(0.930869\pi\) | |||||||
\(504\) | 14.1199 | − | 4.14597i | 0.628949 | − | 0.184676i | ||||
\(505\) | −0.153774 | + | 0.336718i | −0.00684286 | + | 0.0149838i | ||||
\(506\) | −22.3081 | − | 11.2123i | −0.991717 | − | 0.498448i | ||||
\(507\) | −2.33254 | − | 5.10756i | −0.103592 | − | 0.226835i | ||||
\(508\) | −6.54447 | − | 7.55272i | −0.290364 | − | 0.335098i | ||||
\(509\) | 3.94514 | + | 27.4391i | 0.174865 | + | 1.21622i | 0.868427 | + | 0.495818i | \(0.165132\pi\) |
−0.693561 | + | 0.720398i | \(0.743959\pi\) | |||||||
\(510\) | −0.0821984 | − | 0.0948621i | −0.00363981 | − | 0.00420056i | ||||
\(511\) | 12.9270 | 0.571856 | ||||||||
\(512\) | −3.15677 | + | 2.02873i | −0.139511 | + | 0.0896582i | ||||
\(513\) | −2.94901 | + | 20.5108i | −0.130202 | + | 0.905573i | ||||
\(514\) | −0.0634272 | + | 0.0407622i | −0.00279765 | + | 0.00179794i | ||||
\(515\) | −5.51458 | + | 3.54401i | −0.243001 | + | 0.156168i | ||||
\(516\) | 0.241895 | + | 1.68242i | 0.0106489 | + | 0.0740644i | ||||
\(517\) | −1.25899 | + | 3.76211i | −0.0553704 | + | 0.165458i | ||||
\(518\) | 1.62100 | − | 11.2743i | 0.0712226 | − | 0.495364i | ||||
\(519\) | 2.80063 | + | 6.13252i | 0.122934 | + | 0.269188i | ||||
\(520\) | 2.05972 | + | 1.32370i | 0.0903246 | + | 0.0580481i | ||||
\(521\) | −10.4319 | + | 6.70418i | −0.457030 | + | 0.293716i | −0.748828 | − | 0.662764i | \(-0.769383\pi\) |
0.291797 | + | 0.956480i | \(0.405747\pi\) | |||||||
\(522\) | 0.280249 | − | 0.613660i | 0.0122662 | − | 0.0268592i | ||||
\(523\) | 3.75759 | + | 2.41486i | 0.164308 | + | 0.105594i | 0.620211 | − | 0.784435i | \(-0.287047\pi\) |
−0.455903 | + | 0.890030i | \(0.650683\pi\) | |||||||
\(524\) | 6.69843 | 0.292622 | ||||||||
\(525\) | −0.846844 | − | 0.248656i | −0.0369593 | − | 0.0108522i | ||||
\(526\) | −15.2830 | + | 17.6375i | −0.666371 | + | 0.769034i | ||||
\(527\) | −1.74439 | − | 2.01314i | −0.0759869 | − | 0.0876935i | ||||
\(528\) | 0.499368 | + | 0.0909395i | 0.0217322 | + | 0.00395763i | ||||
\(529\) | −38.6652 | + | 44.6221i | −1.68110 | + | 1.94009i | ||||
\(530\) | −0.871158 | − | 6.05904i | −0.0378407 | − | 0.263188i | ||||
\(531\) | 27.2391 | − | 7.99813i | 1.18208 | − | 0.347089i | ||||
\(532\) | 8.12263 | + | 17.7861i | 0.352161 | + | 0.771125i | ||||
\(533\) | 6.63538 | + | 7.65764i | 0.287410 | + | 0.331689i | ||||
\(534\) | −0.0688300 | + | 0.478723i | −0.00297856 | + | 0.0207164i | ||||
\(535\) | −1.06740 | − | 7.42394i | −0.0461478 | − | 0.320965i | ||||
\(536\) | −0.966031 | − | 2.11531i | −0.0417262 | − | 0.0913676i | ||||
\(537\) | 1.21498 | − | 2.66044i | 0.0524304 | − | 0.114807i | ||||
\(538\) | 15.9077 | + | 4.67092i | 0.685829 | + | 0.201377i | ||||
\(539\) | 10.9434 | − | 1.15844i | 0.471367 | − | 0.0498974i | ||||
\(540\) | −3.34466 | + | 0.982082i | −0.143931 | + | 0.0422621i | ||||
\(541\) | −4.70770 | + | 32.7428i | −0.202400 | + | 1.40772i | 0.594736 | + | 0.803921i | \(0.297257\pi\) |
−0.797136 | + | 0.603800i | \(0.793652\pi\) | |||||||
\(542\) | 1.83685 | − | 4.02214i | 0.0788995 | − | 0.172766i | ||||
\(543\) | 0.100570 | − | 0.0295301i | 0.00431588 | − | 0.00126726i | ||||
\(544\) | −1.82012 | + | 0.534436i | −0.0780370 | + | 0.0229137i | ||||
\(545\) | 15.1697 | − | 4.45423i | 0.649799 | − | 0.190798i | ||||
\(546\) | 0.626545 | − | 0.183970i | 0.0268136 | − | 0.00787320i | ||||
\(547\) | 7.67048 | − | 16.7960i | 0.327966 | − | 0.718146i | −0.671778 | − | 0.740752i | \(-0.734469\pi\) |
0.999744 | + | 0.0226066i | \(0.00719651\pi\) | |||||||
\(548\) | 1.03598 | − | 7.20542i | 0.0442550 | − | 0.307800i | ||||
\(549\) | −11.6646 | + | 3.42502i | −0.497831 | + | 0.146176i | ||||
\(550\) | −2.01436 | − | 1.88159i | −0.0858925 | − | 0.0802314i | ||||
\(551\) | 2.17387 | + | 0.638305i | 0.0926099 | + | 0.0271927i | ||||
\(552\) | −4.76004 | + | 10.4230i | −0.202601 | + | 0.443634i | ||||
\(553\) | −7.53439 | − | 16.4980i | −0.320395 | − | 0.701567i | ||||
\(554\) | −3.13344 | − | 21.7935i | −0.133127 | − | 0.925919i | ||||
\(555\) | −0.467527 | + | 3.25173i | −0.0198454 | + | 0.138028i | ||||
\(556\) | −1.85855 | − | 2.14488i | −0.0788202 | − | 0.0909633i | ||||
\(557\) | −4.70661 | − | 10.3060i | −0.199426 | − | 0.436681i | 0.783326 | − | 0.621611i | \(-0.213522\pi\) |
−0.982752 | + | 0.184930i | \(0.940794\pi\) | |||||||
\(558\) | 18.0390 | − | 5.29672i | 0.763650 | − | 0.224228i | ||||
\(559\) | −0.357580 | − | 2.48702i | −0.0151240 | − | 0.105190i | ||||
\(560\) | −0.418099 | + | 0.482512i | −0.0176679 | + | 0.0203898i | ||||
\(561\) | 0.447556 | + | 0.224947i | 0.0188958 | + | 0.00949726i | ||||
\(562\) | −13.8540 | − | 15.9883i | −0.584394 | − | 0.674426i | ||||
\(563\) | −9.03578 | + | 10.4278i | −0.380813 | + | 0.439481i | −0.913505 | − | 0.406828i | \(-0.866635\pi\) |
0.532692 | + | 0.846309i | \(0.321180\pi\) | |||||||
\(564\) | 0.691158 | + | 0.202942i | 0.0291030 | + | 0.00854541i | ||||
\(565\) | −1.62452 | −0.0683441 | ||||||||
\(566\) | 2.49623 | + | 1.60423i | 0.104924 | + | 0.0674307i | ||||
\(567\) | 5.69199 | − | 12.4637i | 0.239041 | − | 0.523427i | ||||
\(568\) | −18.0702 | + | 11.6130i | −0.758209 | + | 0.487271i | ||||
\(569\) | 18.3367 | + | 11.7843i | 0.768714 | + | 0.494023i | 0.865271 | − | 0.501305i | \(-0.167146\pi\) |
−0.0965565 | + | 0.995328i | \(0.530783\pi\) | |||||||
\(570\) | 1.23595 | + | 2.70635i | 0.0517682 | + | 0.113357i | ||||
\(571\) | −3.57590 | + | 24.8709i | −0.149647 | + | 1.04082i | 0.767152 | + | 0.641466i | \(0.221673\pi\) |
−0.916798 | + | 0.399350i | \(0.869236\pi\) | |||||||
\(572\) | −3.80308 | − | 0.692576i | −0.159015 | − | 0.0289581i | ||||
\(573\) | 0.101095 | + | 0.703128i | 0.00422328 | + | 0.0293736i | ||||
\(574\) | 15.2702 | − | 9.81358i | 0.637367 | − | 0.409611i | ||||
\(575\) | −7.61989 | + | 4.89701i | −0.317772 | + | 0.204219i | ||||
\(576\) | 1.64131 | − | 11.4156i | 0.0683880 | − | 0.475649i | ||||
\(577\) | 29.8680 | − | 19.1950i | 1.24342 | − | 0.799097i | 0.257493 | − | 0.966280i | \(-0.417104\pi\) |
0.985926 | + | 0.167183i | \(0.0534671\pi\) | |||||||
\(578\) | 14.0391 | 0.583951 | ||||||||
\(579\) | 1.96971 | + | 2.27316i | 0.0818582 | + | 0.0944694i | ||||
\(580\) | 0.0542409 | + | 0.377254i | 0.00225223 | + | 0.0156646i | ||||
\(581\) | 0.221655 | + | 0.255803i | 0.00919578 | + | 0.0106125i | ||||
\(582\) | 1.72877 | + | 3.78549i | 0.0716600 | + | 0.156914i | ||||
\(583\) | 12.4305 | + | 21.0288i | 0.514820 | + | 0.870926i | ||||
\(584\) | 7.69705 | − | 16.8542i | 0.318506 | − | 0.697431i | ||||
\(585\) | 2.38175 | − | 0.699346i | 0.0984734 | − | 0.0289144i | ||||
\(586\) | −1.79838 | + | 12.5080i | −0.0742906 | + | 0.516702i | ||||
\(587\) | 6.80263 | + | 1.99743i | 0.280775 | + | 0.0824429i | 0.419088 | − | 0.907946i | \(-0.362350\pi\) |
−0.138313 | + | 0.990389i | \(0.544168\pi\) | |||||||
\(588\) | −0.284365 | − | 1.97781i | −0.0117270 | − | 0.0815633i | ||||
\(589\) | 26.2290 | + | 57.4334i | 1.08075 | + | 2.36650i | ||||
\(590\) | 5.54107 | − | 6.39474i | 0.228122 | − | 0.263267i | ||||
\(591\) | 1.89471 | − | 2.18661i | 0.0779378 | − | 0.0899450i | ||||
\(592\) | 1.99918 | + | 1.28480i | 0.0821658 | + | 0.0528048i | ||||
\(593\) | 15.6136 | + | 10.0343i | 0.641174 | + | 0.412058i | 0.820432 | − | 0.571745i | \(-0.193733\pi\) |
−0.179258 | + | 0.983802i | \(0.557370\pi\) | |||||||
\(594\) | −5.72191 | + | 4.59559i | −0.234773 | + | 0.188559i | ||||
\(595\) | −0.530040 | + | 0.340636i | −0.0217295 | + | 0.0139647i | ||||
\(596\) | 9.30076 | 0.380974 | ||||||||
\(597\) | −6.16073 | − | 7.10987i | −0.252142 | − | 0.290987i | ||||
\(598\) | 2.78389 | − | 6.09588i | 0.113842 | − | 0.249279i | ||||
\(599\) | −27.7680 | − | 8.15341i | −1.13457 | − | 0.333139i | −0.340067 | − | 0.940401i | \(-0.610450\pi\) |
−0.794502 | + | 0.607262i | \(0.792268\pi\) | |||||||
\(600\) | −0.828430 | + | 0.956059i | −0.0338205 | + | 0.0390309i | ||||
\(601\) | 16.1701 | + | 10.3919i | 0.659593 | + | 0.423895i | 0.827160 | − | 0.561966i | \(-0.189955\pi\) |
−0.167568 | + | 0.985861i | \(0.553591\pi\) | |||||||
\(602\) | −4.50115 | −0.183453 | ||||||||
\(603\) | −2.26217 | − | 0.664233i | −0.0921227 | − | 0.0270497i | ||||
\(604\) | −15.0185 | −0.611093 | ||||||||
\(605\) | 10.2938 | + | 3.87780i | 0.418503 | + | 0.157655i | ||||
\(606\) | 0.141506 | 0.00574830 | ||||||||
\(607\) | −38.2315 | − | 11.2258i | −1.55177 | − | 0.455640i | −0.610139 | − | 0.792294i | \(-0.708886\pi\) |
−0.941628 | + | 0.336655i | \(0.890705\pi\) | |||||||
\(608\) | 44.9637 | 1.82352 | ||||||||
\(609\) | 0.216141 | + | 0.138905i | 0.00875846 | + | 0.00562872i | ||||
\(610\) | −2.37284 | + | 2.73841i | −0.0960736 | + | 0.110875i | ||||
\(611\) | −1.02170 | − | 0.299997i | −0.0413335 | − | 0.0121366i | ||||
\(612\) | −0.497980 | + | 1.09043i | −0.0201297 | + | 0.0440778i | ||||
\(613\) | 0.851831 | + | 0.983066i | 0.0344052 | + | 0.0397057i | 0.772691 | − | 0.634782i | \(-0.218910\pi\) |
−0.738286 | + | 0.674488i | \(0.764365\pi\) | |||||||
\(614\) | −24.1849 | −0.976023 | ||||||||
\(615\) | −4.40423 | + | 2.83043i | −0.177596 | + | 0.114134i | ||||
\(616\) | −5.55475 | + | 16.5987i | −0.223807 | + | 0.668780i | ||||
\(617\) | 8.73656 | + | 5.61465i | 0.351721 | + | 0.226037i | 0.704556 | − | 0.709648i | \(-0.251146\pi\) |
−0.352835 | + | 0.935685i | \(0.614782\pi\) | |||||||
\(618\) | 2.10808 | + | 1.35478i | 0.0847994 | + | 0.0544973i | ||||
\(619\) | 7.68891 | − | 8.87348i | 0.309043 | − | 0.356655i | −0.579887 | − | 0.814697i | \(-0.696903\pi\) |
0.888931 | + | 0.458041i | \(0.151449\pi\) | |||||||
\(620\) | −6.95557 | + | 8.02716i | −0.279343 | + | 0.322379i | ||||
\(621\) | 10.0181 | + | 21.9366i | 0.402013 | + | 0.880285i | ||||
\(622\) | −3.35458 | − | 23.3316i | −0.134506 | − | 0.935511i | ||||
\(623\) | 2.32936 | + | 0.683961i | 0.0933238 | + | 0.0274023i | ||||
\(624\) | −0.0193889 | + | 0.134853i | −0.000776178 | + | 0.00539843i | ||||
\(625\) | −0.959493 | + | 0.281733i | −0.0383797 | + | 0.0112693i | ||||
\(626\) | −3.69896 | + | 8.09960i | −0.147840 | + | 0.323725i | ||||
\(627\) | −8.67654 | − | 8.10468i | −0.346508 | − | 0.323670i | ||||
\(628\) | −7.01310 | − | 15.3565i | −0.279853 | − | 0.612793i | ||||
\(629\) | 1.53577 | + | 1.77237i | 0.0612351 | + | 0.0706691i | ||||
\(630\) | −0.632859 | − | 4.40163i | −0.0252137 | − | 0.175365i | ||||
\(631\) | −6.02861 | − | 6.95738i | −0.239995 | − | 0.276969i | 0.622956 | − | 0.782257i | \(-0.285932\pi\) |
−0.862951 | + | 0.505288i | \(0.831386\pi\) | |||||||
\(632\) | −25.9963 | −1.03408 | ||||||||
\(633\) | 0.150550 | − | 0.0967525i | 0.00598382 | − | 0.00384557i | ||||
\(634\) | −1.08864 | + | 7.57162i | −0.0432352 | + | 0.300708i | ||||
\(635\) | −6.42130 | + | 4.12672i | −0.254822 | + | 0.163764i | ||||
\(636\) | 3.73138 | − | 2.39801i | 0.147959 | − | 0.0950873i | ||||
\(637\) | 0.420360 | + | 2.92367i | 0.0166553 | + | 0.115840i | ||||
\(638\) | 0.408318 | + | 0.690755i | 0.0161655 | + | 0.0273473i | ||||
\(639\) | −3.09928 | + | 21.5560i | −0.122606 | + | 0.852740i | ||||
\(640\) | 3.37192 | + | 7.38347i | 0.133287 | + | 0.291857i | ||||
\(641\) | −36.6295 | − | 23.5404i | −1.44678 | − | 0.929788i | −0.999371 | − | 0.0354578i | \(-0.988711\pi\) |
−0.447407 | − | 0.894330i | \(-0.647653\pi\) | |||||||
\(642\) | −2.41201 | + | 1.55010i | −0.0951944 | + | 0.0611777i | ||||
\(643\) | 18.9259 | − | 41.4419i | 0.746363 | − | 1.63431i | −0.0264306 | − | 0.999651i | \(-0.508414\pi\) |
0.772794 | − | 0.634657i | \(-0.218859\pi\) | |||||||
\(644\) | 19.1434 | + | 12.3027i | 0.754357 | + | 0.484796i | ||||
\(645\) | 1.29822 | 0.0511174 | ||||||||
\(646\) | 2.03789 | + | 0.598378i | 0.0801796 | + | 0.0235428i | ||||
\(647\) | −19.5247 | + | 22.5327i | −0.767595 | + | 0.885851i | −0.996149 | − | 0.0876797i | \(-0.972055\pi\) |
0.228554 | + | 0.973531i | \(0.426600\pi\) | |||||||
\(648\) | −12.8610 | − | 14.8424i | −0.505229 | − | 0.583065i | ||||
\(649\) | −10.7159 | + | 32.0211i | −0.420634 | + | 1.25694i | ||||
\(650\) | 0.484504 | − | 0.559148i | 0.0190038 | − | 0.0219316i | ||||
\(651\) | 1.01898 | + | 7.08718i | 0.0399371 | + | 0.277769i | ||||
\(652\) | −26.7976 | + | 7.86849i | −1.04948 | + | 0.308154i | ||||
\(653\) | 6.17076 | + | 13.5121i | 0.241480 | + | 0.528768i | 0.991103 | − | 0.133097i | \(-0.0424922\pi\) |
−0.749623 | + | 0.661866i | \(0.769765\pi\) | |||||||
\(654\) | −3.95785 | − | 4.56760i | −0.154764 | − | 0.178607i | ||||
\(655\) | 0.728105 | − | 5.06408i | 0.0284494 | − | 0.197870i | ||||
\(656\) | 0.538966 | + | 3.74859i | 0.0210431 | + | 0.146358i | ||||
\(657\) | −7.80367 | − | 17.0876i | −0.304450 | − | 0.666652i | ||||
\(658\) | −0.792436 | + | 1.73519i | −0.0308924 | + | 0.0676448i | ||||
\(659\) | −14.2448 | − | 4.18265i | −0.554898 | − | 0.162933i | −0.00775221 | − | 0.999970i | \(-0.502468\pi\) |
−0.547146 | + | 0.837037i | \(0.684286\pi\) | |||||||
\(660\) | 0.633849 | − | 1.89407i | 0.0246725 | − | 0.0737264i | ||||
\(661\) | −13.4917 | + | 3.96153i | −0.524767 | + | 0.154086i | −0.533377 | − | 0.845877i | \(-0.679077\pi\) |
0.00861015 | + | 0.999963i | \(0.497259\pi\) | |||||||
\(662\) | 2.93847 | − | 20.4375i | 0.114207 | − | 0.794327i | ||||
\(663\) | −0.0558518 | + | 0.122298i | −0.00216910 | + | 0.00474967i | ||||
\(664\) | 0.465494 | − | 0.136682i | 0.0180647 | − | 0.00530427i | ||||
\(665\) | 14.3294 | − | 4.20748i | 0.555669 | − | 0.163159i | ||||
\(666\) | −15.8816 | + | 4.66325i | −0.615398 | + | 0.180697i | ||||
\(667\) | 2.52995 | − | 0.742859i | 0.0979599 | − | 0.0287636i | ||||
\(668\) | −2.79661 | + | 6.12372i | −0.108204 | + | 0.236934i | ||||
\(669\) | 0.722781 | − | 5.02705i | 0.0279443 | − | 0.194357i | ||||
\(670\) | −0.674246 | + | 0.197977i | −0.0260484 | + | 0.00764850i | ||||
\(671\) | 4.58883 | − | 13.7123i | 0.177150 | − | 0.529359i | ||||
\(672\) | 4.89240 | + | 1.43654i | 0.188728 | + | 0.0554156i | ||||
\(673\) | −16.6702 | + | 36.5027i | −0.642591 | + | 1.40708i | 0.255301 | + | 0.966862i | \(0.417825\pi\) |
−0.897892 | + | 0.440216i | \(0.854902\pi\) | |||||||
\(674\) | −0.635155 | − | 1.39080i | −0.0244652 | − | 0.0535714i | ||||
\(675\) | 0.378906 | + | 2.63535i | 0.0145841 | + | 0.101435i | ||||
\(676\) | −2.27461 | + | 15.8203i | −0.0874850 | + | 0.608471i | ||||
\(677\) | −19.5627 | − | 22.5766i | −0.751856 | − | 0.867689i | 0.242891 | − | 0.970054i | \(-0.421904\pi\) |
−0.994747 | + | 0.102365i | \(0.967359\pi\) | |||||||
\(678\) | 0.257978 | + | 0.564892i | 0.00990757 | + | 0.0216945i | ||||
\(679\) | 20.0431 | − | 5.88519i | 0.769184 | − | 0.225853i | ||||
\(680\) | 0.128522 | + | 0.893889i | 0.00492858 | + | 0.0342791i | ||||
\(681\) | 7.91652 | − | 9.13615i | 0.303362 | − | 0.350098i | ||||
\(682\) | −7.09652 | + | 21.2058i | −0.271740 | + | 0.812013i | ||||
\(683\) | 26.5739 | + | 30.6679i | 1.01682 | + | 1.17348i | 0.984747 | + | 0.173991i | \(0.0556663\pi\) |
0.0320756 | + | 0.999485i | \(0.489788\pi\) | |||||||
\(684\) | 18.6073 | − | 21.4739i | 0.711467 | − | 0.821077i | ||||
\(685\) | −5.33477 | − | 1.56643i | −0.203831 | − | 0.0598502i | ||||
\(686\) | 16.4548 | 0.628246 | ||||||||
\(687\) | 4.26249 | + | 2.73933i | 0.162624 | + | 0.104512i | ||||
\(688\) | 0.390121 | − | 0.854245i | 0.0148732 | − | 0.0325678i | ||||
\(689\) | −5.51587 | + | 3.54483i | −0.210138 | + | 0.135047i | ||||
\(690\) | 2.91289 | + | 1.87200i | 0.110892 | + | 0.0712657i | ||||
\(691\) | −2.97961 | − | 6.52444i | −0.113350 | − | 0.248201i | 0.844452 | − | 0.535631i | \(-0.179926\pi\) |
−0.957802 | + | 0.287430i | \(0.907199\pi\) | |||||||
\(692\) | 2.73107 | − | 18.9950i | 0.103820 | − | 0.722081i | ||||
\(693\) | 9.03024 | + | 15.2765i | 0.343030 | + | 0.580308i | ||||
\(694\) | 3.74776 | + | 26.0662i | 0.142263 | + | 0.989461i | ||||
\(695\) | −1.82357 | + | 1.17194i | −0.0691721 | + | 0.0444542i | ||||
\(696\) | 0.309800 | − | 0.199096i | 0.0117429 | − | 0.00754672i | ||||
\(697\) | −0.531879 | + | 3.69930i | −0.0201464 | + | 0.140121i | ||||
\(698\) | 17.5809 | − | 11.2986i | 0.665448 | − | 0.427657i | ||||
\(699\) | 8.96657 | 0.339147 | ||||||||
\(700\) | 1.64520 | + | 1.89867i | 0.0621829 | + | 0.0717628i | ||||
\(701\) | 5.55635 | + | 38.6453i | 0.209860 | + | 1.45961i | 0.773608 | + | 0.633664i | \(0.218450\pi\) |
−0.563748 | + | 0.825947i | \(0.690641\pi\) | |||||||
\(702\) | −1.28997 | − | 1.48870i | −0.0486867 | − | 0.0561875i | ||||
\(703\) | −23.0921 | − | 50.5646i | −0.870934 | − | 1.90708i | ||||
\(704\) | 10.0245 | + | 9.36379i | 0.377812 | + | 0.352911i | ||||
\(705\) | 0.228554 | − | 0.500463i | 0.00860784 | − | 0.0188485i | ||||
\(706\) | 10.1194 | − | 2.97132i | 0.380848 | − | 0.111827i | ||||
\(707\) | 0.101086 | − | 0.703071i | 0.00380175 | − | 0.0264417i | ||||
\(708\) | 5.88277 | + | 1.72734i | 0.221088 | + | 0.0649173i | ||||
\(709\) | 3.11690 | + | 21.6785i | 0.117057 | + | 0.814153i | 0.960768 | + | 0.277354i | \(0.0894574\pi\) |
−0.843710 | + | 0.536799i | \(0.819633\pi\) | |||||||
\(710\) | 2.69641 | + | 5.90432i | 0.101194 | + | 0.221585i | ||||
\(711\) | −17.2597 | + | 19.9188i | −0.647291 | + | 0.747013i | ||||
\(712\) | 2.27871 | − | 2.62977i | 0.0853981 | − | 0.0985547i | ||||
\(713\) | 61.8164 | + | 39.7270i | 2.31504 | + | 1.48779i | ||||
\(714\) | 0.202620 | + | 0.130216i | 0.00758288 | + | 0.00487322i | ||||
\(715\) | −0.936981 | + | 2.79988i | −0.0350411 | + | 0.104710i | ||||
\(716\) | −7.00365 | + | 4.50097i | −0.261739 | + | 0.168209i | ||||
\(717\) | −10.4848 | −0.391562 | ||||||||
\(718\) | 10.7897 | + | 12.4520i | 0.402668 | + | 0.464704i | ||||
\(719\) | 14.5306 | − | 31.8175i | 0.541898 | − | 1.18659i | −0.418566 | − | 0.908187i | \(-0.637467\pi\) |
0.960464 | − | 0.278405i | \(-0.0898057\pi\) | |||||||
\(720\) | 0.890207 | + | 0.261388i | 0.0331761 | + | 0.00974137i | ||||
\(721\) | 8.23713 | − | 9.50616i | 0.306767 | − | 0.354028i | ||||
\(722\) | −29.0673 | − | 18.6804i | −1.08177 | − | 0.695214i | ||||
\(723\) | −5.56152 | −0.206835 | ||||||||
\(724\) | −0.286271 | − | 0.0840569i | −0.0106392 | − | 0.00312395i | ||||
\(725\) | 0.291104 | 0.0108113 | ||||||||
\(726\) | −0.286259 | − | 4.19526i | −0.0106241 | − | 0.155701i | ||||
\(727\) | 17.0841 | 0.633615 | 0.316807 | − | 0.948490i | \(-0.397389\pi\) | ||||
0.316807 | + | 0.948490i | \(0.397389\pi\) | |||||||
\(728\) | −4.50779 | − | 1.32361i | −0.167070 | − | 0.0490562i | ||||
\(729\) | −16.2375 | −0.601389 | ||||||||
\(730\) | −4.71017 | − | 3.02704i | −0.174331 | − | 0.112036i | ||||
\(731\) | 0.606900 | − | 0.700400i | 0.0224470 | − | 0.0259052i | ||||
\(732\) | −2.51917 | − | 0.739694i | −0.0931111 | − | 0.0273399i | ||||
\(733\) | −1.64059 | + | 3.59238i | −0.0605964 | + | 0.132688i | −0.937508 | − | 0.347965i | \(-0.886873\pi\) |
0.876911 | + | 0.480652i | \(0.159600\pi\) | |||||||
\(734\) | 12.1654 | + | 14.0396i | 0.449032 | + | 0.518210i | ||||
\(735\) | −1.52615 | −0.0562929 | ||||||||
\(736\) | 44.0217 | − | 28.2910i | 1.62266 | − | 1.04282i | ||||
\(737\) | 2.18639 | − | 1.75602i | 0.0805368 | − | 0.0646837i | ||||
\(738\) | −22.1904 | − | 14.2609i | −0.816839 | − | 0.524951i | ||||
\(739\) | 32.1798 | + | 20.6807i | 1.18375 | + | 0.760753i | 0.976073 | − | 0.217444i | \(-0.0697720\pi\) |
0.207681 | + | 0.978197i | \(0.433408\pi\) | |||||||
\(740\) | 6.12371 | − | 7.06714i | 0.225112 | − | 0.259793i | ||||
\(741\) | 2.08693 | − | 2.40844i | 0.0766652 | − | 0.0884764i | ||||
\(742\) | 4.87945 | + | 10.6845i | 0.179130 | + | 0.392240i | ||||
\(743\) | 4.42242 | + | 30.7586i | 0.162243 | + | 1.12842i | 0.894393 | + | 0.447281i | \(0.147608\pi\) |
−0.732150 | + | 0.681143i | \(0.761483\pi\) | |||||||
\(744\) | 9.84699 | + | 2.89134i | 0.361008 | + | 0.106002i | ||||
\(745\) | 1.01097 | − | 7.03147i | 0.0370392 | − | 0.257613i | ||||
\(746\) | 10.8839 | − | 3.19580i | 0.398487 | − | 0.117006i | ||||
\(747\) | 0.204329 | − | 0.447417i | 0.00747600 | − | 0.0163701i | ||||
\(748\) | −0.725548 | − | 1.22742i | −0.0265287 | − | 0.0448788i | ||||
\(749\) | 5.97863 | + | 13.0914i | 0.218454 | + | 0.478348i | ||||
\(750\) | 0.250336 | + | 0.288903i | 0.00914098 | + | 0.0105493i | ||||
\(751\) | 1.95576 | + | 13.6026i | 0.0713665 | + | 0.496365i | 0.993886 | + | 0.110414i | \(0.0352176\pi\) |
−0.922519 | + | 0.385951i | \(0.873873\pi\) | |||||||
\(752\) | −0.260630 | − | 0.300783i | −0.00950418 | − | 0.0109684i | ||||
\(753\) | 4.65796 | 0.169745 | ||||||||
\(754\) | −0.181185 | + | 0.116441i | −0.00659838 | + | 0.00424052i | ||||
\(755\) | −1.63248 | + | 11.3541i | −0.0594119 | + | 0.413219i | ||||
\(756\) | 5.62703 | − | 3.61627i | 0.204653 | − | 0.131523i | ||||
\(757\) | −26.4920 | + | 17.0254i | −0.962869 | + | 0.618798i | −0.924791 | − | 0.380476i | \(-0.875760\pi\) |
−0.0380783 | + | 0.999275i | \(0.512124\pi\) | |||||||
\(758\) | −0.0767063 | − | 0.533504i | −0.00278610 | − | 0.0193777i | ||||
\(759\) | −13.5942 | − | 2.47563i | −0.493439 | − | 0.0898598i | ||||
\(760\) | 3.04635 | − | 21.1879i | 0.110503 | − | 0.768565i | ||||
\(761\) | −2.89062 | − | 6.32958i | −0.104785 | − | 0.229447i | 0.849976 | − | 0.526821i | \(-0.176616\pi\) |
−0.954761 | + | 0.297374i | \(0.903889\pi\) | |||||||
\(762\) | 2.45469 | + | 1.57754i | 0.0889242 | + | 0.0571481i | ||||
\(763\) | −25.5214 | + | 16.4016i | −0.923936 | + | 0.593778i | ||||
\(764\) | 0.839979 | − | 1.83930i | 0.0303894 | − | 0.0665434i | ||||
\(765\) | 0.770243 | + | 0.495005i | 0.0278482 | + | 0.0178969i | ||||
\(766\) | −27.8903 | −1.00772 | ||||||||
\(767\) | −8.69614 | − | 2.55342i | −0.314000 | − | 0.0921986i | ||||
\(768\) | 4.52358 | − | 5.22049i | 0.163231 | − | 0.188378i | ||||
\(769\) | −31.2901 | − | 36.1107i | −1.12835 | − | 1.30219i | −0.947888 | − | 0.318605i | \(-0.896786\pi\) |
−0.180464 | − | 0.983582i | \(-0.557760\pi\) | |||||||
\(770\) | 4.72588 | + | 2.37528i | 0.170309 | + | 0.0855992i | ||||
\(771\) | −0.0273252 | + | 0.0315350i | −0.000984094 | + | 0.00113570i | ||||
\(772\) | −1.21846 | − | 8.47458i | −0.0438534 | − | 0.305007i | ||||
\(773\) | −40.3356 | + | 11.8436i | −1.45077 | + | 0.425984i | −0.909796 | − | 0.415055i | \(-0.863762\pi\) |
−0.540974 | + | 0.841040i | \(0.681944\pi\) | |||||||
\(774\) | 2.71722 | + | 5.94989i | 0.0976686 | + | 0.213864i | ||||
\(775\) | 5.31256 | + | 6.13102i | 0.190833 | + | 0.220233i | ||||
\(776\) | 4.26107 | − | 29.6364i | 0.152963 | − | 1.06388i | ||||
\(777\) | −0.897116 | − | 6.23958i | −0.0321839 | − | 0.223844i | ||||
\(778\) | 2.40419 | + | 5.26443i | 0.0861942 | + | 0.188739i | ||||
\(779\) | 36.8001 | − | 80.5810i | 1.31850 | − | 2.88711i | ||||
\(780\) | 0.514382 | + | 0.151036i | 0.0184178 | + | 0.00540796i | ||||
\(781\) | −18.9292 | − | 17.6816i | −0.677340 | − | 0.632697i | ||||
\(782\) | 2.37169 | − | 0.696391i | 0.0848115 | − | 0.0249029i | ||||
\(783\) | 0.110301 | − | 0.767160i | 0.00394183 | − | 0.0274161i | ||||
\(784\) | −0.458615 | + | 1.00423i | −0.0163791 | + | 0.0358652i | ||||
\(785\) | −12.3720 | + | 3.63275i | −0.441576 | + | 0.129658i | ||||
\(786\) | −1.87655 | + | 0.551005i | −0.0669343 | + | 0.0196537i | ||||
\(787\) | −18.3908 | + | 5.40002i | −0.655561 | + | 0.192490i | −0.592564 | − | 0.805524i | \(-0.701884\pi\) |
−0.0629974 | + | 0.998014i | \(0.520066\pi\) | |||||||
\(788\) | −7.90212 | + | 2.32027i | −0.281501 | + | 0.0826562i | ||||
\(789\) | −5.36548 | + | 11.7488i | −0.191016 | + | 0.418267i | ||||
\(790\) | −1.11797 | + | 7.77563i | −0.0397755 | + | 0.276645i | ||||
\(791\) | 2.99095 | − | 0.878221i | 0.106346 | − | 0.0312259i | ||||
\(792\) | 25.2944 | − | 2.67758i | 0.898796 | − | 0.0951437i | ||||
\(793\) | 3.72393 | + | 1.09345i | 0.132241 | + | 0.0388294i | ||||
\(794\) | 11.4973 | − | 25.1757i | 0.408025 | − | 0.893451i | ||||
\(795\) | −1.40733 | − | 3.08162i | −0.0499128 | − | 0.109294i | ||||
\(796\) | 3.81103 | + | 26.5063i | 0.135078 | + | 0.939491i | ||||
\(797\) | 5.41043 | − | 37.6304i | 0.191647 | − | 1.33294i | −0.636000 | − | 0.771689i | \(-0.719412\pi\) |
0.827648 | − | 0.561248i | \(-0.189679\pi\) | |||||||
\(798\) | −3.73860 | − | 4.31457i | −0.132345 | − | 0.152734i | ||||
\(799\) | −0.163158 | − | 0.357266i | −0.00577212 | − | 0.0126392i | ||||
\(800\) | 5.54319 | − | 1.62763i | 0.195981 | − | 0.0575453i | ||||
\(801\) | −0.502070 | − | 3.49197i | −0.0177398 | − | 0.123383i | ||||
\(802\) | 11.2966 | − | 13.0370i | 0.398899 | − | 0.460353i | ||||
\(803\) | 21.9820 | + | 4.00313i | 0.775728 | + | 0.141267i | ||||
\(804\) | −0.333443 | − | 0.384813i | −0.0117596 | − | 0.0135713i | ||||
\(805\) | 11.3818 | − | 13.1353i | 0.401157 | − | 0.462960i | ||||
\(806\) | −5.75898 | − | 1.69099i | −0.202851 | − | 0.0595625i | ||||
\(807\) | 9.17553 | 0.322994 | ||||||||
\(808\) | −0.856474 | − | 0.550423i | −0.0301307 | − | 0.0193638i | ||||
\(809\) | −7.82805 | + | 17.1410i | −0.275220 | + | 0.602647i | −0.995884 | − | 0.0906371i | \(-0.971110\pi\) |
0.720664 | + | 0.693284i | \(0.243837\pi\) | |||||||
\(810\) | −4.99254 | + | 3.20851i | −0.175420 | + | 0.112735i | ||||
\(811\) | 8.07062 | + | 5.18667i | 0.283398 | + | 0.182129i | 0.674615 | − | 0.738170i | \(-0.264310\pi\) |
−0.391217 | + | 0.920298i | \(0.627946\pi\) | |||||||
\(812\) | −0.303809 | − | 0.665249i | −0.0106616 | − | 0.0233456i | ||||
\(813\) | 0.348264 | − | 2.42223i | 0.0122141 | − | 0.0849512i | ||||
\(814\) | 6.24780 | − | 18.6697i | 0.218985 | − | 0.654372i | ||||
\(815\) | 3.03582 | + | 21.1146i | 0.106340 | + | 0.739611i | ||||
\(816\) | −0.0422742 | + | 0.0271680i | −0.00147989 | + | 0.000951070i | ||||
\(817\) | −18.4799 | + | 11.8763i | −0.646529 | + | 0.415499i | ||||
\(818\) | −2.36316 | + | 16.4361i | −0.0826259 | + | 0.574676i | ||||
\(819\) | −4.00704 | + | 2.57517i | −0.140017 | + | 0.0899836i | ||||
\(820\) | 14.9023 | 0.520409 | ||||||||
\(821\) | −32.8859 | − | 37.9523i | −1.14772 | − | 1.32454i | −0.937940 | − | 0.346797i | \(-0.887269\pi\) |
−0.209785 | − | 0.977748i | \(-0.567276\pi\) | |||||||
\(822\) | 0.302481 | + | 2.10380i | 0.0105502 | + | 0.0733785i | ||||
\(823\) | 16.9474 | + | 19.5584i | 0.590750 | + | 0.681762i | 0.969881 | − | 0.243581i | \(-0.0783222\pi\) |
−0.379130 | + | 0.925343i | \(0.623777\pi\) | |||||||
\(824\) | −7.48952 | − | 16.3998i | −0.260910 | − | 0.571313i | ||||
\(825\) | −1.36304 | − | 0.685077i | −0.0474548 | − | 0.0238513i | ||||
\(826\) | −6.74479 | + | 14.7690i | −0.234681 | + | 0.513880i | ||||
\(827\) | −39.3646 | + | 11.5585i | −1.36884 | + | 0.401929i | −0.881872 | − | 0.471490i | \(-0.843717\pi\) |
−0.486971 | + | 0.873418i | \(0.661898\pi\) | |||||||
\(828\) | 4.70611 | − | 32.7317i | 0.163549 | − | 1.13751i | ||||
\(829\) | 15.1264 | + | 4.44151i | 0.525361 | + | 0.154260i | 0.533650 | − | 0.845706i | \(-0.320820\pi\) |
−0.00828839 | + | 0.999966i | \(0.502638\pi\) | |||||||
\(830\) | −0.0208637 | − | 0.145110i | −0.000724189 | − | 0.00503684i | ||||
\(831\) | −5.06197 | − | 11.0842i | −0.175598 | − | 0.384505i | ||||
\(832\) | −2.41114 | + | 2.78261i | −0.0835914 | + | 0.0964696i | ||||
\(833\) | −0.713454 | + | 0.823370i | −0.0247197 | + | 0.0285281i | ||||
\(834\) | 0.697105 | + | 0.448002i | 0.0241388 | + | 0.0155130i | ||||
\(835\) | 4.32561 | + | 2.77990i | 0.149694 | + | 0.0962024i | ||||
\(836\) | 8.30448 | + | 32.7601i | 0.287216 | + | 1.13303i | ||||
\(837\) | 18.1704 | − | 11.6774i | 0.628059 | − | 0.403629i | ||||
\(838\) | 12.2031 | 0.421548 | ||||||||
\(839\) | −10.6517 | − | 12.2927i | −0.367737 | − | 0.424391i | 0.541480 | − | 0.840713i | \(-0.317864\pi\) |
−0.909217 | + | 0.416323i | \(0.863319\pi\) | |||||||
\(840\) | 1.00839 | − | 2.20808i | 0.0347929 | − | 0.0761859i | ||||
\(841\) | 27.7440 | + | 8.14637i | 0.956689 | + | 0.280909i | ||||
\(842\) | 9.03406 | − | 10.4259i | 0.311334 | − | 0.359299i | ||||
\(843\) | −9.84958 | − | 6.32994i | −0.339238 | − | 0.218015i | ||||
\(844\) | −0.509404 | −0.0175344 | ||||||||
\(845\) | 11.7130 | + | 3.43926i | 0.402940 | + | 0.118314i | ||||
\(846\) | 2.77205 | 0.0953051 | ||||||||
\(847\) | −21.0486 | − | 1.57465i | −0.723237 | − | 0.0541056i | ||||
\(848\) | −2.45065 | −0.0841557 | ||||||||
\(849\) | 1.57567 | + | 0.462658i | 0.0540768 | + | 0.0158784i | ||||
\(850\) | 0.272894 | 0.00936019 | ||||||||
\(851\) | −54.4234 | − | 34.9758i | −1.86561 | − | 1.19895i | ||||
\(852\) | −3.07998 | + | 3.55449i | −0.105518 | + | 0.121775i | ||||
\(853\) | −37.8646 | − | 11.1181i | −1.29646 | − | 0.380675i | −0.440517 | − | 0.897744i | \(-0.645205\pi\) |
−0.855944 | + | 0.517069i | \(0.827023\pi\) | |||||||
\(854\) | 2.88831 | − | 6.32451i | 0.0988359 | − | 0.216420i | ||||
\(855\) | −14.2119 | − | 16.4015i | −0.486038 | − | 0.560918i | ||||
\(856\) | 20.6283 | 0.705062 | ||||||||
\(857\) | 23.0435 | − | 14.8091i | 0.787150 | − | 0.505871i | −0.0842492 | − | 0.996445i | \(-0.526849\pi\) |
0.871400 | + | 0.490574i | \(0.163213\pi\) | |||||||
\(858\) | 1.12239 | − | 0.118813i | 0.0383179 | − | 0.00405621i | ||||
\(859\) | 44.9214 | + | 28.8692i | 1.53270 | + | 0.985006i | 0.989359 | + | 0.145492i | \(0.0464767\pi\) |
0.543339 | + | 0.839513i | \(0.317160\pi\) | |||||||
\(860\) | −3.10874 | − | 1.99786i | −0.106007 | − | 0.0681266i | ||||
\(861\) | 6.57860 | − | 7.59211i | 0.224198 | − | 0.258738i | ||||
\(862\) | −5.69810 | + | 6.57595i | −0.194078 | + | 0.223978i | ||||
\(863\) | −13.8491 | − | 30.3253i | −0.471430 | − | 1.03229i | −0.984732 | − | 0.174079i | \(-0.944305\pi\) |
0.513302 | − | 0.858208i | \(-0.328422\pi\) | |||||||
\(864\) | −2.18902 | − | 15.2250i | −0.0744720 | − | 0.517964i | ||||
\(865\) | −14.0635 | − | 4.12943i | −0.478175 | − | 0.140405i | ||||
\(866\) | 0.706648 | − | 4.91484i | 0.0240129 | − | 0.167013i | ||||
\(867\) | 7.45500 | − | 2.18899i | 0.253185 | − | 0.0743419i | ||||
\(868\) | 8.46658 | − | 18.5392i | 0.287374 | − | 0.629262i | ||||
\(869\) | −7.70307 | − | 30.3877i | −0.261309 | − | 1.03083i | ||||
\(870\) | −0.0462279 | − | 0.101225i | −0.00156727 | − | 0.00343185i | ||||
\(871\) | 0.492908 | + | 0.568846i | 0.0167016 | + | 0.0192746i | ||||
\(872\) | 6.18831 | + | 43.0407i | 0.209563 | + | 1.45754i | ||||
\(873\) | −19.8789 | − | 22.9414i | −0.672797 | − | 0.776450i | ||||
\(874\) | −58.5895 | −1.98182 | ||||||||
\(875\) | 1.61424 | − | 1.03741i | 0.0545713 | − | 0.0350709i | ||||
\(876\) | 0.577372 | − | 4.01571i | 0.0195076 | − | 0.135678i | ||||
\(877\) | −6.77248 | + | 4.35241i | −0.228690 | + | 0.146970i | −0.649969 | − | 0.759961i | \(-0.725218\pi\) |
0.421278 | + | 0.906931i | \(0.361582\pi\) | |||||||
\(878\) | 15.8360 | − | 10.1772i | 0.534439 | − | 0.343463i | ||||
\(879\) | 0.995288 | + | 6.92238i | 0.0335702 | + | 0.233486i | ||||
\(880\) | −0.860387 | + | 0.691026i | −0.0290036 | + | 0.0232945i | ||||
\(881\) | 0.809784 | − | 5.63217i | 0.0272823 | − | 0.189753i | −0.971623 | − | 0.236536i | \(-0.923988\pi\) |
0.998905 | + | 0.0467832i | \(0.0148970\pi\) | |||||||
\(882\) | −3.19429 | − | 6.99452i | −0.107557 | − | 0.235518i | ||||
\(883\) | 49.3274 | + | 31.7008i | 1.66000 | + | 1.06682i | 0.918136 | + | 0.396267i | \(0.129694\pi\) |
0.741864 | + | 0.670550i | \(0.233942\pi\) | |||||||
\(884\) | 0.321952 | − | 0.206906i | 0.0108284 | − | 0.00695899i | ||||
\(885\) | 1.94533 | − | 4.25968i | 0.0653915 | − | 0.143187i | ||||
\(886\) | 26.1232 | + | 16.7884i | 0.877626 | + | 0.564016i | ||||
\(887\) | −38.2766 | −1.28520 | −0.642600 | − | 0.766201i | \(-0.722144\pi\) | ||||
−0.642600 | + | 0.766201i | \(0.722144\pi\) | |||||||
\(888\) | −8.66932 | − | 2.54554i | −0.290923 | − | 0.0854228i | ||||
\(889\) | 9.59150 | − | 11.0692i | 0.321689 | − | 0.371248i | ||||
\(890\) | −0.688583 | − | 0.794667i | −0.0230813 | − | 0.0266373i | ||||
\(891\) | 13.5387 | − | 19.4316i | 0.453565 | − | 0.650982i | ||||
\(892\) | −9.46704 | + | 10.9256i | −0.316980 | + | 0.365815i | ||||
\(893\) | 1.32489 | + | 9.21482i | 0.0443358 | + | 0.308362i | ||||
\(894\) | −2.60559 | + | 0.765070i | −0.0871439 | + | 0.0255878i | ||||
\(895\) | 2.64150 | + | 5.78407i | 0.0882955 | + | 0.193340i | ||||
\(896\) | −10.1997 | − | 11.7710i | −0.340746 | − | 0.393242i | ||||
\(897\) | 0.527821 | − | 3.67108i | 0.0176234 | − | 0.122574i | ||||
\(898\) | 0.742957 | + | 5.16738i | 0.0247928 | + | 0.172438i | ||||
\(899\) | −0.981035 | − | 2.14817i | −0.0327194 | − | 0.0716454i | ||||
\(900\) | 1.51660 | − | 3.32090i | 0.0505535 | − | 0.110697i | ||||
\(901\) | −2.32046 | − | 0.681350i | −0.0773058 | − | 0.0226990i | ||||
\(902\) | 29.0056 | − | 11.9590i | 0.965782 | − | 0.398190i | ||||
\(903\) | −2.39019 | + | 0.701822i | −0.0795404 | + | 0.0233552i | ||||
\(904\) | 0.635860 | − | 4.42251i | 0.0211484 | − | 0.147090i | ||||
\(905\) | −0.0946650 | + | 0.207287i | −0.00314677 | + | 0.00689046i | ||||
\(906\) | 4.20739 | − | 1.23540i | 0.139781 | − | 0.0410435i | ||||
\(907\) | −4.12689 | + | 1.21176i | −0.137031 | + | 0.0402359i | −0.349529 | − | 0.936926i | \(-0.613658\pi\) |
0.212498 | + | 0.977162i | \(0.431840\pi\) | |||||||
\(908\) | −33.0169 | + | 9.69463i | −1.09570 | + | 0.321728i | ||||
\(909\) | −0.990384 | + | 0.290803i | −0.0328490 | + | 0.00964533i | ||||
\(910\) | −0.589756 | + | 1.29139i | −0.0195502 | + | 0.0428090i | ||||
\(911\) | 1.92218 | − | 13.3690i | 0.0636846 | − | 0.442936i | −0.932885 | − | 0.360175i | \(-0.882717\pi\) |
0.996569 | − | 0.0827612i | \(-0.0263739\pi\) | |||||||
\(912\) | 1.14286 | − | 0.335575i | 0.0378440 | − | 0.0111120i | ||||
\(913\) | 0.297703 | + | 0.503627i | 0.00985253 | + | 0.0166676i | ||||
\(914\) | 3.93891 | + | 1.15657i | 0.130288 | + | 0.0382559i | ||||
\(915\) | −0.833044 | + | 1.82411i | −0.0275396 | + | 0.0603033i | ||||
\(916\) | −5.99138 | − | 13.1193i | −0.197961 | − | 0.433474i | ||||
\(917\) | 1.39713 | + | 9.71723i | 0.0461372 | + | 0.320891i | ||||
\(918\) | 0.103401 | − | 0.719172i | 0.00341275 | − | 0.0237362i | ||||
\(919\) | −0.966811 | − | 1.11576i | −0.0318921 | − | 0.0368055i | 0.739579 | − | 0.673069i | \(-0.235024\pi\) |
−0.771472 | + | 0.636264i | \(0.780479\pi\) | |||||||
\(920\) | −10.3488 | − | 22.6607i | −0.341190 | − | 0.747102i | ||||
\(921\) | −12.8426 | + | 3.77092i | −0.423177 | + | 0.124256i | ||||
\(922\) | −0.747454 | − | 5.19866i | −0.0246161 | − | 0.171209i | ||||
\(923\) | 4.55295 | − | 5.25439i | 0.149862 | − | 0.172950i | ||||
\(924\) | −0.143057 | + | 3.82988i | −0.00470624 | + | 0.125994i | ||||
\(925\) | −4.67720 | − | 5.39777i | −0.153785 | − | 0.177478i | ||||
\(926\) | −19.9211 | + | 22.9901i | −0.654647 | + | 0.755503i | ||||
\(927\) | −17.5383 | − | 5.14972i | −0.576034 | − | 0.169139i | ||||
\(928\) | −1.68177 | −0.0552067 | ||||||||
\(929\) | −17.1404 | − | 11.0155i | −0.562358 | − | 0.361405i | 0.228369 | − | 0.973575i | \(-0.426661\pi\) |
−0.790727 | + | 0.612169i | \(0.790297\pi\) | |||||||
\(930\) | 1.28828 | − | 2.82095i | 0.0422445 | − | 0.0925025i | ||||
\(931\) | 21.7244 | − | 13.9614i | 0.711989 | − | 0.457567i | ||||
\(932\) | −21.4715 | − | 13.7989i | −0.703322 | − | 0.451997i | ||||
\(933\) | −5.41921 | − | 11.8664i | −0.177417 | − | 0.388489i | ||||
\(934\) | −4.81219 | + | 33.4695i | −0.157460 | + | 1.09516i | ||||
\(935\) | −1.00681 | + | 0.415104i | −0.0329260 | + | 0.0135754i | ||||
\(936\) | 0.971609 | + | 6.75769i | 0.0317580 | + | 0.220882i | ||||
\(937\) | 5.97355 | − | 3.83897i | 0.195147 | − | 0.125414i | −0.439418 | − | 0.898283i | \(-0.644815\pi\) |
0.634566 | + | 0.772869i | \(0.281179\pi\) | |||||||
\(938\) | 1.13435 | − | 0.729000i | 0.0370377 | − | 0.0238027i | ||||
\(939\) | −0.701316 | + | 4.87776i | −0.0228866 | + | 0.159180i | ||||
\(940\) | −1.31747 | + | 0.846689i | −0.0429713 | + | 0.0276160i | ||||
\(941\) | 19.5320 | 0.636725 | 0.318363 | − | 0.947969i | \(-0.396867\pi\) | ||||
0.318363 | + | 0.947969i | \(0.396867\pi\) | |||||||
\(942\) | 3.22792 | + | 3.72521i | 0.105171 | + | 0.121374i | ||||
\(943\) | −14.6722 | − | 102.047i | −0.477792 | − | 3.32312i | ||||
\(944\) | −2.21834 | − | 2.56010i | −0.0722008 | − | 0.0833242i | ||||
\(945\) | −2.12229 | − | 4.64717i | −0.0690382 | − | 0.151173i | ||||
\(946\) | −7.65410 | − | 1.39388i | −0.248856 | − | 0.0453190i | ||||
\(947\) | 8.37387 | − | 18.3362i | 0.272114 | − | 0.595847i | −0.723403 | − | 0.690426i | \(-0.757423\pi\) |
0.995517 | + | 0.0945786i | \(0.0301504\pi\) | |||||||
\(948\) | −5.46155 | + | 1.60366i | −0.177383 | + | 0.0520843i | ||||
\(949\) | −0.853494 | + | 5.93618i | −0.0277056 | + | 0.192696i | ||||
\(950\) | −6.20640 | − | 1.82236i | −0.201362 | − | 0.0591253i | ||||
\(951\) | 0.602488 | + | 4.19040i | 0.0195370 | + | 0.135883i | ||||
\(952\) | −0.719864 | − | 1.57628i | −0.0233309 | − | 0.0510876i | ||||
\(953\) | 30.9893 | − | 35.7636i | 1.00384 | − | 1.15850i | 0.0165047 | − | 0.999864i | \(-0.494746\pi\) |
0.987338 | − | 0.158632i | \(-0.0507084\pi\) | |||||||
\(954\) | 11.1778 | − | 12.8999i | 0.361895 | − | 0.417649i | ||||
\(955\) | −1.29922 | − | 0.834960i | −0.0420419 | − | 0.0270187i | ||||
\(956\) | 25.1071 | + | 16.1353i | 0.812021 | + | 0.521854i | ||||
\(957\) | 0.324526 | + | 0.303137i | 0.0104905 | + | 0.00979904i | ||||
\(958\) | −24.0905 | + | 15.4820i | −0.778329 | + | 0.500202i | ||||
\(959\) | 10.6688 | 0.344513 | ||||||||
\(960\) | −1.24580 | − | 1.43773i | −0.0402081 | − | 0.0464026i | ||||
\(961\) | 14.4617 | − | 31.6668i | 0.466507 | − | 1.02151i | ||||
\(962\) | 5.07022 | + | 1.48875i | 0.163471 | + | 0.0479993i | ||||
\(963\) | 13.6958 | − | 15.8058i | 0.441341 | − | 0.509335i | ||||
\(964\) | 13.3177 | + | 8.55877i | 0.428935 | + | 0.275660i | ||||
\(965\) | −6.53932 | −0.210508 | ||||||||
\(966\) | −6.37499 | − | 1.87187i | −0.205112 | − | 0.0602263i | ||||
\(967\) | −24.4400 | −0.785938 | −0.392969 | − | 0.919552i | \(-0.628552\pi\) | ||||
−0.392969 | + | 0.919552i | \(0.628552\pi\) | |||||||
\(968\) | −14.5859 | + | 26.5055i | −0.468807 | + | 0.851919i | ||||
\(969\) | 1.17545 | 0.0377609 | ||||||||
\(970\) | −8.68116 | − | 2.54902i | −0.278735 | − | 0.0818441i | ||||
\(971\) | 28.9609 | 0.929398 | 0.464699 | − | 0.885469i | \(-0.346162\pi\) | ||||
0.464699 | + | 0.885469i | \(0.346162\pi\) | |||||||
\(972\) | −12.4151 | − | 7.97867i | −0.398213 | − | 0.255916i | ||||
\(973\) | 2.72387 | − | 3.14352i | 0.0873234 | − | 0.100777i | ||||
\(974\) | −29.5280 | − | 8.67020i | −0.946138 | − | 0.277811i | ||||
\(975\) | 0.170097 | − | 0.372461i | 0.00544747 | − | 0.0119283i | ||||
\(976\) | 0.949955 | + | 1.09631i | 0.0304073 | + | 0.0350919i | ||||
\(977\) | −27.9106 | −0.892938 | −0.446469 | − | 0.894799i | \(-0.647319\pi\) | ||||
−0.446469 | + | 0.894799i | \(0.647319\pi\) | |||||||
\(978\) | 6.86004 | − | 4.40868i | 0.219360 | − | 0.140974i | ||||
\(979\) | 3.74921 | + | 1.88440i | 0.119825 | + | 0.0602256i | ||||
\(980\) | 3.65454 | + | 2.34863i | 0.116740 | + | 0.0750243i | ||||
\(981\) | 37.0872 | + | 23.8345i | 1.18410 | + | 0.760976i | ||||
\(982\) | −10.6098 | + | 12.2444i | −0.338573 | + | 0.390734i | ||||
\(983\) | 3.52055 | − | 4.06293i | 0.112288 | − | 0.129587i | −0.696823 | − | 0.717243i | \(-0.745404\pi\) |
0.809111 | + | 0.587656i | \(0.199949\pi\) | |||||||
\(984\) | −5.98152 | − | 13.0977i | −0.190684 | − | 0.417540i | ||||
\(985\) | 0.895205 | + | 6.22629i | 0.0285236 | + | 0.198386i | ||||
\(986\) | −0.0762226 | − | 0.0223810i | −0.00242742 | − | 0.000712755i | ||||
\(987\) | −0.150244 | + | 1.04497i | −0.00478233 | + | 0.0332618i | ||||
\(988\) | −8.70381 | + | 2.55567i | −0.276905 | + | 0.0813066i | ||||
\(989\) | −10.6202 | + | 23.2550i | −0.337702 | + | 0.739465i | ||||
\(990\) | 0.286902 | − | 7.68084i | 0.00911835 | − | 0.244113i | ||||
\(991\) | 6.63497 | + | 14.5286i | 0.210767 | + | 0.461515i | 0.985259 | − | 0.171068i | \(-0.0547219\pi\) |
−0.774492 | + | 0.632583i | \(0.781995\pi\) | |||||||
\(992\) | −30.6918 | − | 35.4202i | −0.974465 | − | 1.12459i | ||||
\(993\) | −1.62625 | − | 11.3108i | −0.0516076 | − | 0.358938i | ||||
\(994\) | −8.15632 | − | 9.41290i | −0.258703 | − | 0.298559i | ||||
\(995\) | 20.4533 | 0.648413 | ||||||||
\(996\) | 0.0893640 | − | 0.0574308i | 0.00283161 | − | 0.00181976i | ||||
\(997\) | 6.31600 | − | 43.9287i | 0.200030 | − | 1.39124i | −0.604159 | − | 0.796864i | \(-0.706491\pi\) |
0.804189 | − | 0.594374i | \(-0.202600\pi\) | |||||||
\(998\) | 5.00237 | − | 3.21483i | 0.158347 | − | 0.101764i | ||||
\(999\) | −15.9972 | + | 10.2808i | −0.506130 | + | 0.325270i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 605.2.k.a.56.15 | ✓ | 220 | |
121.67 | even | 11 | inner | 605.2.k.a.551.15 | yes | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.k.a.56.15 | ✓ | 220 | 1.1 | even | 1 | trivial | |
605.2.k.a.551.15 | yes | 220 | 121.67 | even | 11 | inner |