Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(67,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.z (of order \(42\), degree \(12\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 67.16 | ||
Character | \(\chi\) | \(=\) | 731.67 |
Dual form | 731.2.z.a.611.16 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.11327 | + | 1.39600i | −0.787201 | + | 0.987119i | 0.212749 | + | 0.977107i | \(0.431758\pi\) |
−0.999950 | + | 0.0100119i | \(0.996813\pi\) | |||||||
\(3\) | 0.311016 | + | 2.06346i | 0.179565 | + | 1.19134i | 0.879064 | + | 0.476703i | \(0.158168\pi\) |
−0.699499 | + | 0.714633i | \(0.746594\pi\) | |||||||
\(4\) | −0.264394 | − | 1.15839i | −0.132197 | − | 0.579194i | ||||
\(5\) | −1.52042 | − | 2.23004i | −0.679951 | − | 0.997305i | −0.998775 | − | 0.0494912i | \(-0.984240\pi\) |
0.318823 | − | 0.947814i | \(-0.396712\pi\) | |||||||
\(6\) | −3.22682 | − | 1.86301i | −1.31734 | − | 0.760569i | ||||
\(7\) | 2.35848 | − | 1.36167i | 0.891421 | − | 0.514662i | 0.0170138 | − | 0.999855i | \(-0.494584\pi\) |
0.874407 | + | 0.485193i | \(0.161251\pi\) | |||||||
\(8\) | −1.30600 | − | 0.628935i | −0.461740 | − | 0.222362i | ||||
\(9\) | −1.29440 | + | 0.399269i | −0.431466 | + | 0.133090i | ||||
\(10\) | 4.80577 | + | 0.360142i | 1.51972 | + | 0.113887i | ||||
\(11\) | 4.82473 | + | 1.10121i | 1.45471 | + | 0.332028i | 0.875527 | − | 0.483169i | \(-0.160514\pi\) |
0.579183 | + | 0.815197i | \(0.303371\pi\) | |||||||
\(12\) | 2.30805 | − | 0.905843i | 0.666277 | − | 0.261494i | ||||
\(13\) | −0.0244481 | − | 0.326237i | −0.00678068 | − | 0.0904819i | 0.992787 | − | 0.119894i | \(-0.0382555\pi\) |
−0.999567 | + | 0.0294122i | \(0.990636\pi\) | |||||||
\(14\) | −0.724739 | + | 4.80833i | −0.193695 | + | 1.28508i | ||||
\(15\) | 4.12872 | − | 3.83089i | 1.06603 | − | 0.989132i | ||||
\(16\) | 4.47294 | − | 2.15405i | 1.11824 | − | 0.538514i | ||||
\(17\) | −1.71004 | + | 3.75177i | −0.414747 | + | 0.909937i | ||||
\(18\) | 0.883636 | − | 2.25147i | 0.208275 | − | 0.530676i | ||||
\(19\) | −0.176855 | − | 0.0545526i | −0.0405733 | − | 0.0125152i | 0.274402 | − | 0.961615i | \(-0.411520\pi\) |
−0.314975 | + | 0.949100i | \(0.601996\pi\) | |||||||
\(20\) | −2.18126 | + | 2.35084i | −0.487745 | + | 0.525665i | ||||
\(21\) | 3.54326 | + | 4.44311i | 0.773204 | + | 0.969567i | ||||
\(22\) | −6.90852 | + | 5.50936i | −1.47290 | + | 1.17460i | ||||
\(23\) | 0.368639 | − | 0.397298i | 0.0768665 | − | 0.0828424i | −0.693447 | − | 0.720507i | \(-0.743909\pi\) |
0.770314 | + | 0.637665i | \(0.220100\pi\) | |||||||
\(24\) | 0.891593 | − | 2.89047i | 0.181996 | − | 0.590016i | ||||
\(25\) | −0.834716 | + | 2.12682i | −0.166943 | + | 0.425364i | ||||
\(26\) | 0.482643 | + | 0.329061i | 0.0946542 | + | 0.0645341i | ||||
\(27\) | 1.48979 | + | 3.09357i | 0.286709 | + | 0.595358i | ||||
\(28\) | −2.20091 | − | 2.37201i | −0.415932 | − | 0.448268i | ||||
\(29\) | −1.42106 | + | 9.42809i | −0.263883 | + | 1.75075i | 0.327954 | + | 0.944694i | \(0.393641\pi\) |
−0.591837 | + | 0.806058i | \(0.701597\pi\) | |||||||
\(30\) | 0.751532 | + | 10.0285i | 0.137210 | + | 1.83094i | ||||
\(31\) | 5.08228 | − | 1.99465i | 0.912804 | − | 0.358249i | 0.137986 | − | 0.990434i | \(-0.455937\pi\) |
0.774817 | + | 0.632185i | \(0.217842\pi\) | |||||||
\(32\) | −1.32743 | + | 5.81585i | −0.234659 | + | 1.02811i | ||||
\(33\) | −0.771736 | + | 10.2981i | −0.134342 | + | 1.79267i | ||||
\(34\) | −3.33371 | − | 6.56395i | −0.571727 | − | 1.12571i | ||||
\(35\) | −6.62245 | − | 3.18920i | −1.11940 | − | 0.539074i | ||||
\(36\) | 0.804739 | + | 1.39385i | 0.134123 | + | 0.232308i | ||||
\(37\) | 8.80100 | + | 5.08126i | 1.44688 | + | 0.835354i | 0.998294 | − | 0.0583872i | \(-0.0185958\pi\) |
0.448582 | + | 0.893742i | \(0.351929\pi\) | |||||||
\(38\) | 0.273043 | − | 0.186157i | 0.0442934 | − | 0.0301987i | ||||
\(39\) | 0.665572 | − | 0.151912i | 0.106577 | − | 0.0243255i | ||||
\(40\) | 0.583108 | + | 3.86867i | 0.0921975 | + | 0.611691i | ||||
\(41\) | −7.50110 | − | 5.98192i | −1.17147 | − | 0.934220i | −0.172763 | − | 0.984963i | \(-0.555269\pi\) |
−0.998712 | + | 0.0507439i | \(0.983841\pi\) | |||||||
\(42\) | −10.1472 | −1.56574 | ||||||||
\(43\) | 2.01284 | − | 6.24087i | 0.306956 | − | 0.951724i | ||||
\(44\) | − | 5.88006i | − | 0.886452i | ||||||
\(45\) | 2.85841 | + | 2.27951i | 0.426107 | + | 0.339809i | ||||
\(46\) | 0.144232 | + | 0.956919i | 0.0212659 | + | 0.141090i | ||||
\(47\) | 2.03298 | + | 8.90708i | 0.296541 | + | 1.29923i | 0.875240 | + | 0.483689i | \(0.160704\pi\) |
−0.578699 | + | 0.815541i | \(0.696439\pi\) | |||||||
\(48\) | 5.83595 | + | 8.55977i | 0.842347 | + | 1.23550i | ||||
\(49\) | 0.208277 | − | 0.360747i | 0.0297539 | − | 0.0515353i | ||||
\(50\) | −2.03977 | − | 3.53299i | −0.288467 | − | 0.499640i | ||||
\(51\) | −8.27345 | − | 2.36174i | −1.15851 | − | 0.330710i | ||||
\(52\) | −0.371445 | + | 0.114576i | −0.0515102 | + | 0.0158888i | ||||
\(53\) | 0.859761 | − | 11.4727i | 0.118097 | − | 1.57590i | −0.552140 | − | 0.833751i | \(-0.686189\pi\) |
0.670237 | − | 0.742147i | \(-0.266192\pi\) | |||||||
\(54\) | −5.97715 | − | 1.36425i | −0.813387 | − | 0.185650i | ||||
\(55\) | −4.87985 | − | 12.4337i | −0.657999 | − | 1.67655i | ||||
\(56\) | −3.93656 | + | 0.295005i | −0.526046 | + | 0.0394217i | ||||
\(57\) | 0.0575621 | − | 0.381899i | 0.00762428 | − | 0.0505838i | ||||
\(58\) | −11.5796 | − | 12.4798i | −1.52047 | − | 1.63868i | ||||
\(59\) | 11.5940 | − | 5.58339i | 1.50941 | − | 0.726895i | 0.517723 | − | 0.855548i | \(-0.326780\pi\) |
0.991690 | + | 0.128653i | \(0.0410654\pi\) | |||||||
\(60\) | −5.52927 | − | 3.76979i | −0.713825 | − | 0.486678i | ||||
\(61\) | 9.08575 | + | 3.56590i | 1.16331 | + | 0.456566i | 0.866894 | − | 0.498492i | \(-0.166113\pi\) |
0.296418 | + | 0.955058i | \(0.404208\pi\) | |||||||
\(62\) | −2.87343 | + | 9.31542i | −0.364926 | + | 1.18306i | ||||
\(63\) | −2.50914 | + | 2.70421i | −0.316121 | + | 0.340698i | ||||
\(64\) | −0.450375 | − | 0.564752i | −0.0562969 | − | 0.0705941i | ||||
\(65\) | −0.690352 | + | 0.550537i | −0.0856276 | + | 0.0682857i | ||||
\(66\) | −13.5170 | − | 12.5419i | −1.66382 | − | 1.54380i | ||||
\(67\) | −13.8539 | − | 4.27337i | −1.69253 | − | 0.522075i | −0.709369 | − | 0.704837i | \(-0.751020\pi\) |
−0.983157 | + | 0.182762i | \(0.941496\pi\) | |||||||
\(68\) | 4.79812 | + | 0.988948i | 0.581858 | + | 0.119928i | ||||
\(69\) | 0.934459 | + | 0.637104i | 0.112496 | + | 0.0766983i | ||||
\(70\) | 11.8247 | − | 5.69447i | 1.41332 | − | 0.680619i | ||||
\(71\) | 7.84103 | + | 8.45062i | 0.930559 | + | 1.00290i | 0.999986 | + | 0.00531684i | \(0.00169241\pi\) |
−0.0694271 | + | 0.997587i | \(0.522117\pi\) | |||||||
\(72\) | 1.94159 | + | 0.292648i | 0.228819 | + | 0.0344889i | ||||
\(73\) | −10.4032 | + | 0.779608i | −1.21760 | + | 0.0912463i | −0.667986 | − | 0.744174i | \(-0.732843\pi\) |
−0.549611 | + | 0.835421i | \(0.685224\pi\) | |||||||
\(74\) | −16.8913 | + | 6.62936i | −1.96358 | + | 0.770647i | ||||
\(75\) | −4.64821 | − | 1.06092i | −0.536729 | − | 0.122505i | ||||
\(76\) | −0.0164335 | + | 0.219290i | −0.00188505 | + | 0.0251543i | ||||
\(77\) | 12.8785 | − | 3.97249i | 1.46764 | − | 0.452707i | ||||
\(78\) | −0.528892 | + | 1.09826i | −0.0598853 | + | 0.124353i | ||||
\(79\) | 0.314028 | − | 0.181304i | 0.0353309 | − | 0.0203983i | −0.482231 | − | 0.876044i | \(-0.660173\pi\) |
0.517561 | + | 0.855646i | \(0.326840\pi\) | |||||||
\(80\) | −11.6044 | − | 6.69979i | −1.29741 | − | 0.749059i | ||||
\(81\) | −9.27771 | + | 6.32544i | −1.03086 | + | 0.702826i | ||||
\(82\) | 16.7015 | − | 3.81201i | 1.84437 | − | 0.420966i | ||||
\(83\) | −4.35839 | + | 0.656922i | −0.478396 | + | 0.0721066i | −0.383814 | − | 0.923410i | \(-0.625390\pi\) |
−0.0945821 | + | 0.995517i | \(0.530151\pi\) | |||||||
\(84\) | 4.21003 | − | 5.27921i | 0.459352 | − | 0.576009i | ||||
\(85\) | 10.9666 | − | 1.89078i | 1.18949 | − | 0.205084i | ||||
\(86\) | 6.47140 | + | 9.75770i | 0.697829 | + | 1.05220i | ||||
\(87\) | −19.8964 | −2.13312 | ||||||||
\(88\) | −5.60849 | − | 4.47262i | −0.597867 | − | 0.476783i | ||||
\(89\) | 6.31073 | − | 0.951189i | 0.668936 | − | 0.100826i | 0.194211 | − | 0.980960i | \(-0.437785\pi\) |
0.474725 | + | 0.880134i | \(0.342547\pi\) | |||||||
\(90\) | −6.36437 | + | 1.45263i | −0.670863 | + | 0.153120i | ||||
\(91\) | −0.501887 | − | 0.736133i | −0.0526120 | − | 0.0771677i | ||||
\(92\) | −0.557691 | − | 0.321983i | −0.0581433 | − | 0.0335691i | ||||
\(93\) | 5.69653 | + | 9.86668i | 0.590703 | + | 1.02313i | ||||
\(94\) | −14.6975 | − | 7.07795i | −1.51593 | − | 0.730035i | ||||
\(95\) | 0.147239 | + | 0.477337i | 0.0151064 | + | 0.0489738i | ||||
\(96\) | −12.4136 | − | 0.930270i | −1.26696 | − | 0.0949453i | ||||
\(97\) | 10.5251 | + | 2.40229i | 1.06867 | + | 0.243916i | 0.720456 | − | 0.693501i | \(-0.243933\pi\) |
0.348209 | + | 0.937417i | \(0.386790\pi\) | |||||||
\(98\) | 0.271733 | + | 0.692364i | 0.0274491 | + | 0.0699393i | ||||
\(99\) | −6.68480 | + | 0.500956i | −0.671847 | + | 0.0503480i | ||||
\(100\) | 2.68438 | + | 0.404605i | 0.268438 | + | 0.0404605i | ||||
\(101\) | −8.56301 | + | 7.94531i | −0.852051 | + | 0.790588i | −0.979539 | − | 0.201252i | \(-0.935499\pi\) |
0.127489 | + | 0.991840i | \(0.459308\pi\) | |||||||
\(102\) | 12.5076 | − | 8.92046i | 1.23843 | − | 0.883257i | ||||
\(103\) | −3.58525 | − | 2.44438i | −0.353265 | − | 0.240852i | 0.373665 | − | 0.927564i | \(-0.378101\pi\) |
−0.726930 | + | 0.686712i | \(0.759053\pi\) | |||||||
\(104\) | −0.173253 | + | 0.441441i | −0.0169888 | + | 0.0432869i | ||||
\(105\) | 4.52109 | − | 14.6570i | 0.441213 | − | 1.43038i | ||||
\(106\) | 15.0587 | + | 13.9725i | 1.46263 | + | 1.35712i | ||||
\(107\) | 0.263916 | − | 0.210466i | 0.0255137 | − | 0.0203465i | −0.610650 | − | 0.791901i | \(-0.709092\pi\) |
0.636164 | + | 0.771554i | \(0.280520\pi\) | |||||||
\(108\) | 3.18966 | − | 2.54367i | 0.306926 | − | 0.244765i | ||||
\(109\) | 4.53411 | − | 4.88661i | 0.434289 | − | 0.468053i | −0.477547 | − | 0.878606i | \(-0.658474\pi\) |
0.911836 | + | 0.410554i | \(0.134665\pi\) | |||||||
\(110\) | 22.7899 | + | 7.02976i | 2.17293 | + | 0.670262i | ||||
\(111\) | −7.74770 | + | 19.7408i | −0.735380 | + | 1.87372i | ||||
\(112\) | 7.61622 | − | 11.1709i | 0.719665 | − | 1.05556i | ||||
\(113\) | 6.76699 | + | 14.0518i | 0.636585 | + | 1.32188i | 0.930585 | + | 0.366077i | \(0.119299\pi\) |
−0.293999 | + | 0.955806i | \(0.594986\pi\) | |||||||
\(114\) | 0.469048 | + | 0.505514i | 0.0439304 | + | 0.0473457i | ||||
\(115\) | −1.44648 | − | 0.218021i | −0.134885 | − | 0.0203306i | ||||
\(116\) | 11.2971 | − | 0.846600i | 1.04891 | − | 0.0786049i | ||||
\(117\) | 0.161902 | + | 0.412519i | 0.0149678 | + | 0.0381374i | ||||
\(118\) | −5.11289 | + | 22.4010i | −0.470680 | + | 2.06218i | ||||
\(119\) | 1.07556 | + | 11.1770i | 0.0985962 | + | 1.02459i | ||||
\(120\) | −7.80147 | + | 2.40644i | −0.712174 | + | 0.219677i | ||||
\(121\) | 12.1547 | + | 5.85339i | 1.10497 | + | 0.532126i | ||||
\(122\) | −15.0929 | + | 8.71388i | −1.36645 | + | 0.788917i | ||||
\(123\) | 10.0105 | − | 17.3386i | 0.902614 | − | 1.56337i | ||||
\(124\) | −3.65430 | − | 5.35987i | −0.328166 | − | 0.481331i | ||||
\(125\) | −7.14477 | + | 1.63075i | −0.639048 | + | 0.145859i | ||||
\(126\) | −0.981715 | − | 6.51326i | −0.0874582 | − | 0.580247i | ||||
\(127\) | 0.144627 | − | 0.181357i | 0.0128336 | − | 0.0160928i | −0.775373 | − | 0.631503i | \(-0.782438\pi\) |
0.788207 | + | 0.615410i | \(0.211010\pi\) | |||||||
\(128\) | −10.6410 | −0.940544 | ||||||||
\(129\) | 13.5038 | + | 2.21240i | 1.18894 | + | 0.194791i | ||||
\(130\) | − | 1.57663i | − | 0.138279i | ||||||
\(131\) | −10.3137 | − | 8.22493i | −0.901115 | − | 0.718615i | 0.0589888 | − | 0.998259i | \(-0.481212\pi\) |
−0.960104 | + | 0.279643i | \(0.909784\pi\) | |||||||
\(132\) | 12.1332 | − | 1.82879i | 1.05606 | − | 0.159176i | ||||
\(133\) | −0.491391 | + | 0.112157i | −0.0426090 | + | 0.00972523i | ||||
\(134\) | 21.3888 | − | 14.5826i | 1.84771 | − | 1.25975i | ||||
\(135\) | 4.63370 | − | 8.02581i | 0.398806 | − | 0.690751i | ||||
\(136\) | 4.59293 | − | 3.82429i | 0.393840 | − | 0.327930i | ||||
\(137\) | −4.72093 | − | 2.27348i | −0.403337 | − | 0.194237i | 0.221207 | − | 0.975227i | \(-0.429001\pi\) |
−0.624543 | + | 0.780990i | \(0.714715\pi\) | |||||||
\(138\) | −1.92970 | + | 0.595234i | −0.164267 | + | 0.0506697i | ||||
\(139\) | 4.10898 | + | 0.307925i | 0.348519 | + | 0.0261179i | 0.247840 | − | 0.968801i | \(-0.420279\pi\) |
0.100679 | + | 0.994919i | \(0.467898\pi\) | |||||||
\(140\) | −1.94339 | + | 8.51457i | −0.164247 | + | 0.719612i | ||||
\(141\) | −17.7471 | + | 6.96521i | −1.49457 | + | 0.586576i | ||||
\(142\) | −20.5262 | + | 1.53823i | −1.72252 | + | 0.129085i | ||||
\(143\) | 0.241301 | − | 1.60093i | 0.0201786 | − | 0.133876i | ||||
\(144\) | −4.92972 | + | 4.57411i | −0.410810 | + | 0.381176i | ||||
\(145\) | 23.1856 | − | 11.1656i | 1.92546 | − | 0.927253i | ||||
\(146\) | 10.4932 | − | 15.3907i | 0.868422 | − | 1.27374i | ||||
\(147\) | 0.809163 | + | 0.317573i | 0.0667386 | + | 0.0261930i | ||||
\(148\) | 3.55913 | − | 11.5384i | 0.292559 | − | 0.948453i | ||||
\(149\) | −3.19228 | − | 2.96200i | −0.261522 | − | 0.242657i | 0.538503 | − | 0.842624i | \(-0.318990\pi\) |
−0.800025 | + | 0.599967i | \(0.795180\pi\) | |||||||
\(150\) | 6.65576 | − | 5.30779i | 0.543441 | − | 0.433379i | ||||
\(151\) | 13.0758 | + | 16.3966i | 1.06410 | + | 1.33434i | 0.939661 | + | 0.342108i | \(0.111141\pi\) |
0.124437 | + | 0.992228i | \(0.460288\pi\) | |||||||
\(152\) | 0.196662 | + | 0.182476i | 0.0159514 | + | 0.0148007i | ||||
\(153\) | 0.715514 | − | 5.53904i | 0.0578459 | − | 0.447805i | ||||
\(154\) | −8.79167 | + | 22.4008i | −0.708453 | + | 1.80511i | ||||
\(155\) | −12.1753 | − | 8.30100i | −0.977946 | − | 0.666752i | ||||
\(156\) | −0.351947 | − | 0.730826i | −0.0281783 | − | 0.0585129i | ||||
\(157\) | −10.0769 | + | 9.34998i | −0.804223 | + | 0.746210i | −0.970818 | − | 0.239815i | \(-0.922913\pi\) |
0.166596 | + | 0.986025i | \(0.446723\pi\) | |||||||
\(158\) | −0.0964979 | + | 0.640222i | −0.00767696 | + | 0.0509333i | ||||
\(159\) | 23.9408 | − | 1.79412i | 1.89863 | − | 0.142283i | ||||
\(160\) | 14.9878 | − | 5.88229i | 1.18489 | − | 0.465036i | ||||
\(161\) | 0.328438 | − | 1.43898i | 0.0258846 | − | 0.113408i | ||||
\(162\) | 1.49831 | − | 19.9936i | 0.117718 | − | 1.57084i | ||||
\(163\) | 5.00907 | + | 16.2390i | 0.392340 | + | 1.27194i | 0.909377 | + | 0.415973i | \(0.136559\pi\) |
−0.517036 | + | 0.855963i | \(0.672965\pi\) | |||||||
\(164\) | −4.94614 | + | 10.2708i | −0.386229 | + | 0.802012i | ||||
\(165\) | 24.1386 | − | 13.9364i | 1.87919 | − | 1.08495i | ||||
\(166\) | 3.93501 | − | 6.81564i | 0.305416 | − | 0.528996i | ||||
\(167\) | 1.82334 | + | 2.67435i | 0.141094 | + | 0.206947i | 0.890281 | − | 0.455412i | \(-0.150508\pi\) |
−0.749187 | + | 0.662359i | \(0.769555\pi\) | |||||||
\(168\) | −1.83306 | − | 8.03117i | −0.141424 | − | 0.619618i | ||||
\(169\) | 12.7490 | − | 1.92160i | 0.980690 | − | 0.147815i | ||||
\(170\) | −9.56925 | + | 17.4143i | −0.733928 | + | 1.33561i | ||||
\(171\) | 0.250702 | 0.0191717 | ||||||||
\(172\) | −7.76153 | − | 0.681600i | −0.591811 | − | 0.0519715i | ||||
\(173\) | − | 9.16032i | − | 0.696447i | −0.937412 | − | 0.348223i | \(-0.886785\pi\) | ||
0.937412 | − | 0.348223i | \(-0.113215\pi\) | |||||||
\(174\) | 22.1501 | − | 27.7753i | 1.67919 | − | 2.10564i | ||||
\(175\) | 0.927365 | + | 6.15267i | 0.0701022 | + | 0.465098i | ||||
\(176\) | 23.9528 | − | 5.46707i | 1.80551 | − | 0.412096i | ||||
\(177\) | 15.1270 | + | 22.1872i | 1.13701 | + | 1.66769i | ||||
\(178\) | −5.69769 | + | 9.86869i | −0.427060 | + | 0.739689i | ||||
\(179\) | −7.25965 | − | 12.5741i | −0.542612 | − | 0.939831i | −0.998753 | − | 0.0499238i | \(-0.984102\pi\) |
0.456141 | − | 0.889907i | \(-0.349231\pi\) | |||||||
\(180\) | 1.88480 | − | 3.91384i | 0.140485 | − | 0.291720i | ||||
\(181\) | −7.69982 | − | 24.9622i | −0.572323 | − | 1.85543i | −0.515221 | − | 0.857058i | \(-0.672290\pi\) |
−0.0571025 | − | 0.998368i | \(-0.518186\pi\) | |||||||
\(182\) | 1.58638 | + | 0.118882i | 0.117590 | + | 0.00881215i | ||||
\(183\) | −4.53225 | + | 19.8571i | −0.335034 | + | 1.46788i | ||||
\(184\) | −0.731316 | + | 0.287020i | −0.0539133 | + | 0.0211594i | ||||
\(185\) | −2.04977 | − | 27.3523i | −0.150702 | − | 2.01098i | ||||
\(186\) | −20.1156 | − | 3.03194i | −1.47495 | − | 0.222313i | ||||
\(187\) | −12.3820 | + | 16.2181i | −0.905461 | + | 1.18599i | ||||
\(188\) | 9.78034 | − | 4.70996i | 0.713305 | − | 0.343509i | ||||
\(189\) | 7.72604 | + | 5.26753i | 0.561987 | + | 0.383156i | ||||
\(190\) | −0.830278 | − | 0.325860i | −0.0602347 | − | 0.0236404i | ||||
\(191\) | −3.60543 | − | 1.11213i | −0.260880 | − | 0.0804707i | 0.161556 | − | 0.986864i | \(-0.448349\pi\) |
−0.422436 | + | 0.906393i | \(0.638825\pi\) | |||||||
\(192\) | 1.02527 | − | 1.10498i | 0.0739923 | − | 0.0797447i | ||||
\(193\) | 14.1022 | − | 11.2461i | 1.01510 | − | 0.809512i | 0.0332989 | − | 0.999445i | \(-0.489399\pi\) |
0.981797 | + | 0.189934i | \(0.0608273\pi\) | |||||||
\(194\) | −15.0709 | + | 12.0186i | −1.08203 | + | 0.862889i | ||||
\(195\) | −1.35072 | − | 1.25328i | −0.0967270 | − | 0.0897495i | ||||
\(196\) | −0.472952 | − | 0.145886i | −0.0337823 | − | 0.0104205i | ||||
\(197\) | −15.5750 | − | 6.11275i | −1.10967 | − | 0.435515i | −0.261485 | − | 0.965208i | \(-0.584212\pi\) |
−0.848190 | + | 0.529692i | \(0.822307\pi\) | |||||||
\(198\) | 6.74265 | − | 9.88965i | 0.479179 | − | 0.702827i | ||||
\(199\) | −6.08664 | − | 12.6390i | −0.431471 | − | 0.895958i | −0.997438 | − | 0.0715308i | \(-0.977212\pi\) |
0.565968 | − | 0.824427i | \(-0.308503\pi\) | |||||||
\(200\) | 2.42777 | − | 2.25264i | 0.171669 | − | 0.159286i | ||||
\(201\) | 4.50912 | − | 29.9160i | 0.318049 | − | 2.11011i | ||||
\(202\) | −1.55868 | − | 20.7992i | −0.109669 | − | 1.46343i | ||||
\(203\) | 9.48639 | + | 24.1709i | 0.665814 | + | 1.69647i | ||||
\(204\) | −0.548357 | + | 10.2083i | −0.0383927 | + | 0.714723i | ||||
\(205\) | −1.93515 | + | 25.8228i | −0.135157 | + | 1.80354i | ||||
\(206\) | 7.40369 | − | 2.28374i | 0.515840 | − | 0.159115i | ||||
\(207\) | −0.318536 | + | 0.661448i | −0.0221398 | + | 0.0459738i | ||||
\(208\) | −0.812088 | − | 1.40658i | −0.0563081 | − | 0.0975286i | ||||
\(209\) | −0.793204 | − | 0.457957i | −0.0548671 | − | 0.0316775i | ||||
\(210\) | 15.4279 | + | 22.6286i | 1.06463 | + | 1.56152i | ||||
\(211\) | 17.8482 | − | 4.07373i | 1.22872 | − | 0.280447i | 0.441581 | − | 0.897222i | \(-0.354418\pi\) |
0.787140 | + | 0.616774i | \(0.211561\pi\) | |||||||
\(212\) | −13.5172 | + | 2.03738i | −0.928362 | + | 0.139928i | ||||
\(213\) | −14.9988 | + | 18.8079i | −1.02770 | + | 1.28869i | ||||
\(214\) | 0.602731i | 0.0412018i | ||||||||
\(215\) | −16.9778 | + | 5.00000i | −1.15787 | + | 0.340997i | ||||
\(216\) | − | 4.97717i | − | 0.338654i | ||||||
\(217\) | 9.27039 | − | 11.6247i | 0.629315 | − | 0.789136i | ||||
\(218\) | 1.77400 | + | 11.7697i | 0.120151 | + | 0.797147i | ||||
\(219\) | −4.84423 | − | 21.2240i | −0.327343 | − | 1.43418i | ||||
\(220\) | −13.1128 | + | 8.94015i | −0.884064 | + | 0.602744i | ||||
\(221\) | 1.26577 | + | 0.466157i | 0.0851451 | + | 0.0313571i | ||||
\(222\) | −18.9328 | − | 32.7926i | −1.27069 | − | 2.20090i | ||||
\(223\) | −18.6080 | − | 8.96113i | −1.24608 | − | 0.600082i | −0.309624 | − | 0.950859i | \(-0.600203\pi\) |
−0.936459 | + | 0.350777i | \(0.885917\pi\) | |||||||
\(224\) | 4.78854 | + | 15.5241i | 0.319948 | + | 1.03725i | ||||
\(225\) | 0.231281 | − | 3.08623i | 0.0154187 | − | 0.205749i | ||||
\(226\) | −27.1498 | − | 6.19676i | −1.80598 | − | 0.412202i | ||||
\(227\) | 7.76970 | − | 3.04938i | 0.515693 | − | 0.202395i | −0.0931994 | − | 0.995647i | \(-0.529709\pi\) |
0.608892 | + | 0.793253i | \(0.291614\pi\) | |||||||
\(228\) | −0.457606 | + | 0.0342929i | −0.0303057 | + | 0.00227110i | ||||
\(229\) | 14.8199 | + | 2.23374i | 0.979328 | + | 0.147610i | 0.619149 | − | 0.785273i | \(-0.287478\pi\) |
0.360179 | + | 0.932883i | \(0.382716\pi\) | |||||||
\(230\) | 1.91468 | − | 1.77656i | 0.126250 | − | 0.117143i | ||||
\(231\) | 12.2025 | + | 25.3387i | 0.802864 | + | 1.66716i | ||||
\(232\) | 7.78555 | − | 11.4193i | 0.511146 | − | 0.749714i | ||||
\(233\) | −13.9409 | − | 5.47141i | −0.913300 | − | 0.358444i | −0.138289 | − | 0.990392i | \(-0.544160\pi\) |
−0.775011 | + | 0.631948i | \(0.782256\pi\) | |||||||
\(234\) | −0.756116 | − | 0.233231i | −0.0494288 | − | 0.0152468i | ||||
\(235\) | 16.7722 | − | 18.0761i | 1.09410 | − | 1.17916i | ||||
\(236\) | −9.53312 | − | 11.9542i | −0.620553 | − | 0.778149i | ||||
\(237\) | 0.471780 | + | 0.591593i | 0.0306454 | + | 0.0384281i | ||||
\(238\) | −16.8004 | − | 10.9415i | −1.08901 | − | 0.709233i | ||||
\(239\) | 20.7453 | + | 6.39907i | 1.34190 | + | 0.413922i | 0.880826 | − | 0.473440i | \(-0.156988\pi\) |
0.461075 | + | 0.887361i | \(0.347464\pi\) | |||||||
\(240\) | 10.2156 | − | 26.0288i | 0.659412 | − | 1.68015i | ||||
\(241\) | 0.933491 | − | 1.36918i | 0.0601315 | − | 0.0881967i | −0.794995 | − | 0.606615i | \(-0.792527\pi\) |
0.855127 | + | 0.518419i | \(0.173479\pi\) | |||||||
\(242\) | −21.7028 | + | 10.4515i | −1.39511 | + | 0.671848i | ||||
\(243\) | −8.93144 | − | 9.62580i | −0.572952 | − | 0.617495i | ||||
\(244\) | 1.72847 | − | 11.4676i | 0.110654 | − | 0.734140i | ||||
\(245\) | −1.12115 | + | 0.0840186i | −0.0716276 | + | 0.00536775i | ||||
\(246\) | 13.0603 | + | 33.2772i | 0.832696 | + | 2.12168i | ||||
\(247\) | −0.0134733 | + | 0.0590304i | −0.000857286 | + | 0.00375602i | ||||
\(248\) | −7.89194 | − | 0.591419i | −0.501139 | − | 0.0375551i | ||||
\(249\) | −2.71106 | − | 8.78904i | −0.171806 | − | 0.556983i | ||||
\(250\) | 5.67755 | − | 11.7895i | 0.359080 | − | 0.745636i | ||||
\(251\) | −3.44382 | − | 5.96486i | −0.217372 | − | 0.376499i | 0.736632 | − | 0.676294i | \(-0.236415\pi\) |
−0.954004 | + | 0.299795i | \(0.903082\pi\) | |||||||
\(252\) | 3.79592 | + | 2.19157i | 0.239120 | + | 0.138056i | ||||
\(253\) | 2.21609 | − | 1.51091i | 0.139325 | − | 0.0949899i | ||||
\(254\) | 0.0921642 | + | 0.403798i | 0.00578290 | + | 0.0253365i | ||||
\(255\) | 7.31232 | + | 22.0410i | 0.457915 | + | 1.38026i | ||||
\(256\) | 12.7471 | − | 15.9844i | 0.796694 | − | 0.999023i | ||||
\(257\) | 8.92165 | 0.556517 | 0.278259 | − | 0.960506i | \(-0.410243\pi\) | ||||
0.278259 | + | 0.960506i | \(0.410243\pi\) | |||||||
\(258\) | −18.1219 | + | 16.3882i | −1.12822 | + | 1.02029i | ||||
\(259\) | 27.6760 | 1.71970 | ||||||||
\(260\) | 0.820260 | + | 0.654136i | 0.0508704 | + | 0.0405678i | ||||
\(261\) | −1.92493 | − | 12.7711i | −0.119150 | − | 0.790509i | ||||
\(262\) | 22.9639 | − | 5.24137i | 1.41872 | − | 0.323813i | ||||
\(263\) | −1.35663 | + | 0.924938i | −0.0836537 | + | 0.0570341i | −0.604425 | − | 0.796662i | \(-0.706597\pi\) |
0.520771 | + | 0.853696i | \(0.325645\pi\) | |||||||
\(264\) | 7.48472 | − | 12.9639i | 0.460653 | − | 0.797874i | ||||
\(265\) | −26.8918 | + | 15.5260i | −1.65195 | + | 0.953755i | ||||
\(266\) | 0.390481 | − | 0.810841i | 0.0239419 | − | 0.0497159i | ||||
\(267\) | 3.92547 | + | 12.7261i | 0.240235 | + | 0.778823i | ||||
\(268\) | −1.28732 | + | 17.1781i | −0.0786355 | + | 1.04932i | ||||
\(269\) | 5.51324 | + | 1.25836i | 0.336148 | + | 0.0767236i | 0.387263 | − | 0.921969i | \(-0.373420\pi\) |
−0.0511152 | + | 0.998693i | \(0.516278\pi\) | |||||||
\(270\) | 6.04544 | + | 15.4035i | 0.367914 | + | 0.937429i | ||||
\(271\) | 0.255436 | + | 3.40856i | 0.0155166 | + | 0.207055i | 0.999574 | + | 0.0292014i | \(0.00929641\pi\) |
−0.984057 | + | 0.177854i | \(0.943085\pi\) | |||||||
\(272\) | 0.432583 | + | 20.4650i | 0.0262292 | + | 1.24087i | ||||
\(273\) | 1.36288 | − | 1.26457i | 0.0824854 | − | 0.0765353i | ||||
\(274\) | 8.42945 | − | 4.05941i | 0.509242 | − | 0.245238i | ||||
\(275\) | −6.36936 | + | 9.34214i | −0.384087 | + | 0.563352i | ||||
\(276\) | 0.490947 | − | 1.25091i | 0.0295515 | − | 0.0752961i | ||||
\(277\) | −3.21357 | + | 10.4181i | −0.193085 | + | 0.625965i | 0.806320 | + | 0.591479i | \(0.201456\pi\) |
−0.999405 | + | 0.0344864i | \(0.989020\pi\) | |||||||
\(278\) | −5.00426 | + | 5.39331i | −0.300136 | + | 0.323469i | ||||
\(279\) | −5.78209 | + | 4.61106i | −0.346164 | + | 0.276057i | ||||
\(280\) | 6.64309 | + | 8.33018i | 0.397001 | + | 0.497823i | ||||
\(281\) | −3.65268 | − | 3.38920i | −0.217901 | − | 0.202182i | 0.563668 | − | 0.826001i | \(-0.309390\pi\) |
−0.781569 | + | 0.623819i | \(0.785580\pi\) | |||||||
\(282\) | 10.0339 | − | 32.5290i | 0.597508 | − | 1.93707i | ||||
\(283\) | −16.6528 | − | 6.53576i | −0.989909 | − | 0.388510i | −0.185537 | − | 0.982637i | \(-0.559402\pi\) |
−0.804371 | + | 0.594127i | \(0.797498\pi\) | |||||||
\(284\) | 7.71597 | − | 11.3172i | 0.457858 | − | 0.671555i | ||||
\(285\) | −0.939170 | + | 0.452280i | −0.0556316 | + | 0.0267908i | ||||
\(286\) | 1.96626 | + | 2.11912i | 0.116267 | + | 0.125306i | ||||
\(287\) | −25.8366 | − | 3.89423i | −1.52508 | − | 0.229869i | ||||
\(288\) | −0.603865 | − | 8.05802i | −0.0355831 | − | 0.474823i | ||||
\(289\) | −11.1515 | − | 12.8314i | −0.655970 | − | 0.754787i | ||||
\(290\) | −10.2247 | + | 44.7974i | −0.600416 | + | 2.63059i | ||||
\(291\) | −1.68354 | + | 22.4653i | −0.0986909 | + | 1.31694i | ||||
\(292\) | 3.65362 | + | 11.8448i | 0.213812 | + | 0.693162i | ||||
\(293\) | −14.2584 | − | 6.86649i | −0.832985 | − | 0.401144i | −0.0317511 | − | 0.999496i | \(-0.510108\pi\) |
−0.801234 | + | 0.598351i | \(0.795823\pi\) | |||||||
\(294\) | −1.34415 | + | 0.776044i | −0.0783923 | + | 0.0452598i | ||||
\(295\) | −30.0789 | − | 17.3661i | −1.75126 | − | 1.01109i | ||||
\(296\) | −8.29830 | − | 12.1714i | −0.482329 | − | 0.707447i | ||||
\(297\) | 3.78113 | + | 16.5662i | 0.219403 | + | 0.961270i | ||||
\(298\) | 7.68882 | − | 1.15890i | 0.445401 | − | 0.0671334i | ||||
\(299\) | −0.138626 | − | 0.110551i | −0.00801695 | − | 0.00639330i | ||||
\(300\) | 5.66493i | 0.327065i | ||||||||
\(301\) | −3.75075 | − | 17.4598i | −0.216190 | − | 1.00636i | ||||
\(302\) | −37.4465 | −2.15481 | ||||||||
\(303\) | −19.0580 | − | 15.1983i | −1.09485 | − | 0.873117i | ||||
\(304\) | −0.908572 | + | 0.136945i | −0.0521102 | + | 0.00785434i | ||||
\(305\) | −5.86204 | − | 25.6833i | −0.335659 | − | 1.47062i | ||||
\(306\) | 6.93593 | + | 7.16531i | 0.396500 | + | 0.409613i | ||||
\(307\) | −3.04774 | + | 5.27885i | −0.173944 | + | 0.301280i | −0.939795 | − | 0.341738i | \(-0.888984\pi\) |
0.765851 | + | 0.643018i | \(0.222318\pi\) | |||||||
\(308\) | −8.00669 | − | 13.8680i | −0.456223 | − | 0.790202i | ||||
\(309\) | 3.92880 | − | 8.15823i | 0.223502 | − | 0.464106i | ||||
\(310\) | 25.1426 | − | 7.75546i | 1.42800 | − | 0.440481i | ||||
\(311\) | 3.17152 | + | 0.237672i | 0.179840 | + | 0.0134772i | 0.164346 | − | 0.986403i | \(-0.447449\pi\) |
0.0154944 | + | 0.999880i | \(0.495068\pi\) | |||||||
\(312\) | −0.964778 | − | 0.220204i | −0.0546198 | − | 0.0124666i | ||||
\(313\) | 13.2823 | − | 5.21292i | 0.750760 | − | 0.294652i | 0.0410612 | − | 0.999157i | \(-0.486926\pi\) |
0.709699 | + | 0.704505i | \(0.248831\pi\) | |||||||
\(314\) | −1.83425 | − | 24.4764i | −0.103513 | − | 1.38128i | ||||
\(315\) | 9.84543 | + | 1.48396i | 0.554727 | + | 0.0836116i | ||||
\(316\) | −0.293047 | − | 0.315830i | −0.0164852 | − | 0.0177668i | ||||
\(317\) | 3.64502 | + | 7.56897i | 0.204725 | + | 0.425116i | 0.977899 | − | 0.209078i | \(-0.0670464\pi\) |
−0.773174 | + | 0.634194i | \(0.781332\pi\) | |||||||
\(318\) | −24.1480 | + | 35.4186i | −1.35415 | + | 1.98618i | ||||
\(319\) | −17.2385 | + | 43.9231i | −0.965173 | + | 2.45922i | ||||
\(320\) | −0.574664 | + | 1.86301i | −0.0321247 | + | 0.104146i | ||||
\(321\) | 0.516369 | + | 0.479120i | 0.0288209 | + | 0.0267419i | ||||
\(322\) | 1.64317 | + | 2.06048i | 0.0915705 | + | 0.114826i | ||||
\(323\) | 0.507099 | − | 0.570232i | 0.0282157 | − | 0.0317285i | ||||
\(324\) | 9.78028 | + | 9.07478i | 0.543349 | + | 0.504154i | ||||
\(325\) | 0.714256 | + | 0.220319i | 0.0396198 | + | 0.0122211i | ||||
\(326\) | −28.2460 | − | 11.0858i | −1.56440 | − | 0.613983i | ||||
\(327\) | 11.4935 | + | 7.83613i | 0.635591 | + | 0.433339i | ||||
\(328\) | 6.03417 | + | 12.5301i | 0.333181 | + | 0.691858i | ||||
\(329\) | 16.9232 | + | 18.2389i | 0.933008 | + | 1.00554i | ||||
\(330\) | −7.41757 | + | 49.2124i | −0.408324 | + | 2.70905i | ||||
\(331\) | −0.00114737 | − | 0.0153106i | −6.30650e−5 | − | 0.000841544i | 0.997172 | − | 0.0751509i | \(-0.0239438\pi\) |
−0.997235 | + | 0.0743093i | \(0.976325\pi\) | |||||||
\(332\) | 1.91331 | + | 4.87502i | 0.105006 | + | 0.267552i | ||||
\(333\) | −13.4208 | − | 3.06321i | −0.735455 | − | 0.167863i | ||||
\(334\) | −5.76325 | − | 0.431896i | −0.315351 | − | 0.0236323i | ||||
\(335\) | 11.5340 | + | 37.3922i | 0.630167 | + | 2.04295i | ||||
\(336\) | 25.4195 | + | 12.2414i | 1.38675 | + | 0.667823i | ||||
\(337\) | −15.2105 | + | 8.78177i | −0.828567 | + | 0.478373i | −0.853362 | − | 0.521319i | \(-0.825440\pi\) |
0.0247949 | + | 0.999693i | \(0.492107\pi\) | |||||||
\(338\) | −11.5105 | + | 19.9368i | −0.626089 | + | 1.08442i | ||||
\(339\) | −26.8906 | + | 18.3337i | −1.46050 | + | 0.995751i | ||||
\(340\) | −5.08976 | − | 12.2036i | −0.276031 | − | 0.661835i | ||||
\(341\) | 26.7171 | − | 4.02696i | 1.44681 | − | 0.218072i | ||||
\(342\) | −0.279099 | + | 0.349979i | −0.0150919 | + | 0.0189247i | ||||
\(343\) | 17.9289i | 0.968071i | ||||||||
\(344\) | −6.55387 | + | 6.88461i | −0.353361 | + | 0.371193i | ||||
\(345\) | − | 3.05255i | − | 0.164344i | ||||||
\(346\) | 12.7878 | + | 10.1979i | 0.687476 | + | 0.548243i | ||||
\(347\) | −1.23823 | − | 8.21509i | −0.0664714 | − | 0.441009i | −0.997167 | − | 0.0752152i | \(-0.976036\pi\) |
0.930696 | − | 0.365794i | \(-0.119202\pi\) | |||||||
\(348\) | 5.26050 | + | 23.0477i | 0.281992 | + | 1.23549i | ||||
\(349\) | −1.23481 | + | 0.841882i | −0.0660981 | + | 0.0450649i | −0.595918 | − | 0.803045i | \(-0.703212\pi\) |
0.529820 | + | 0.848110i | \(0.322259\pi\) | |||||||
\(350\) | −9.62151 | − | 5.55498i | −0.514291 | − | 0.296926i | ||||
\(351\) | 0.972816 | − | 0.561656i | 0.0519251 | − | 0.0299790i | ||||
\(352\) | −12.8090 | + | 26.5981i | −0.682721 | + | 1.41768i | ||||
\(353\) | 6.14758 | − | 1.89628i | 0.327202 | − | 0.100929i | −0.126802 | − | 0.991928i | \(-0.540471\pi\) |
0.454004 | + | 0.890999i | \(0.349995\pi\) | |||||||
\(354\) | −47.8137 | − | 3.58314i | −2.54127 | − | 0.190442i | ||||
\(355\) | 6.92360 | − | 30.3343i | 0.367467 | − | 1.60998i | ||||
\(356\) | −2.77037 | − | 7.05878i | −0.146829 | − | 0.374115i | ||||
\(357\) | −22.7287 | + | 5.69558i | −1.20293 | + | 0.301442i | ||||
\(358\) | 25.6353 | + | 3.86390i | 1.35487 | + | 0.204214i | ||||
\(359\) | 7.50103 | − | 6.95994i | 0.395889 | − | 0.367331i | −0.456961 | − | 0.889486i | \(-0.651062\pi\) |
0.852851 | + | 0.522155i | \(0.174872\pi\) | |||||||
\(360\) | −2.29941 | − | 4.77478i | −0.121190 | − | 0.251653i | ||||
\(361\) | −15.6702 | − | 10.6838i | −0.824749 | − | 0.562304i | ||||
\(362\) | 43.4191 | + | 17.0408i | 2.28206 | + | 0.895642i | ||||
\(363\) | −8.29790 | + | 26.9011i | −0.435527 | + | 1.41194i | ||||
\(364\) | −0.720031 | + | 0.776009i | −0.0377399 | + | 0.0406739i | ||||
\(365\) | 17.5557 | + | 22.0141i | 0.918907 | + | 1.15227i | ||||
\(366\) | −22.6748 | − | 28.4333i | −1.18523 | − | 1.48623i | ||||
\(367\) | −1.31052 | + | 1.41240i | −0.0684084 | + | 0.0737267i | −0.766329 | − | 0.642449i | \(-0.777919\pi\) |
0.697920 | + | 0.716176i | \(0.254109\pi\) | |||||||
\(368\) | 0.793098 | − | 2.57116i | 0.0413431 | − | 0.134031i | ||||
\(369\) | 12.0978 | + | 4.74803i | 0.629786 | + | 0.247173i | ||||
\(370\) | 40.4656 | + | 27.5890i | 2.10371 | + | 1.43428i | ||||
\(371\) | −13.5943 | − | 28.2288i | −0.705780 | − | 1.46557i | ||||
\(372\) | 9.92331 | − | 9.20749i | 0.514500 | − | 0.477386i | ||||
\(373\) | −6.43174 | − | 0.969428i | −0.333023 | − | 0.0501951i | −0.0195974 | − | 0.999808i | \(-0.506238\pi\) |
−0.313425 | + | 0.949613i | \(0.601477\pi\) | |||||||
\(374\) | −8.85595 | − | 35.3404i | −0.457931 | − | 1.82741i | ||||
\(375\) | −5.58711 | − | 14.2357i | −0.288517 | − | 0.735130i | ||||
\(376\) | 2.94690 | − | 12.9112i | 0.151975 | − | 0.665846i | ||||
\(377\) | 3.11053 | + | 0.233102i | 0.160201 | + | 0.0120054i | ||||
\(378\) | −15.9546 | + | 4.92135i | −0.820617 | + | 0.253127i | ||||
\(379\) | −7.84664 | + | 16.2937i | −0.403055 | + | 0.836952i | 0.596359 | + | 0.802718i | \(0.296614\pi\) |
−0.999414 | + | 0.0342343i | \(0.989101\pi\) | |||||||
\(380\) | 0.514012 | − | 0.296765i | 0.0263683 | − | 0.0152237i | ||||
\(381\) | 0.419202 | + | 0.242027i | 0.0214764 | + | 0.0123994i | ||||
\(382\) | 5.56634 | − | 3.79507i | 0.284799 | − | 0.194173i | ||||
\(383\) | −3.20612 | − | 14.0469i | −0.163825 | − | 0.717764i | −0.988383 | − | 0.151986i | \(-0.951433\pi\) |
0.824558 | − | 0.565778i | \(-0.191424\pi\) | |||||||
\(384\) | −3.30953 | − | 21.9573i | −0.168889 | − | 1.12050i | ||||
\(385\) | −28.4395 | − | 22.6798i | −1.44941 | − | 1.15587i | ||||
\(386\) | 32.2065i | 1.63927i | ||||||||
\(387\) | −0.113633 | + | 8.88183i | −0.00577630 | + | 0.451489i | ||||
\(388\) | − | 12.8273i | − | 0.651209i | ||||||
\(389\) | 4.90537 | − | 6.15114i | 0.248712 | − | 0.311875i | −0.641767 | − | 0.766900i | \(-0.721798\pi\) |
0.890479 | + | 0.455025i | \(0.150370\pi\) | |||||||
\(390\) | 3.25329 | − | 0.490355i | 0.164737 | − | 0.0248301i | ||||
\(391\) | 0.860181 | + | 2.06244i | 0.0435012 | + | 0.104302i | ||||
\(392\) | −0.498896 | + | 0.340142i | −0.0251981 | + | 0.0171797i | ||||
\(393\) | 13.7640 | − | 23.8400i | 0.694304 | − | 1.20257i | ||||
\(394\) | 25.8726 | − | 14.9375i | 1.30344 | − | 0.752543i | ||||
\(395\) | −0.881768 | − | 0.424637i | −0.0443666 | − | 0.0213658i | ||||
\(396\) | 2.34772 | + | 7.61113i | 0.117978 | + | 0.382474i | ||||
\(397\) | −22.3550 | − | 1.67527i | −1.12196 | − | 0.0840796i | −0.499198 | − | 0.866488i | \(-0.666372\pi\) |
−0.622766 | + | 0.782408i | \(0.713991\pi\) | |||||||
\(398\) | 24.4201 | + | 5.57374i | 1.22407 | + | 0.279386i | ||||
\(399\) | −0.384261 | − | 0.979081i | −0.0192371 | − | 0.0490154i | ||||
\(400\) | 0.847655 | + | 11.3112i | 0.0423828 | + | 0.565559i | ||||
\(401\) | −1.16652 | + | 7.73937i | −0.0582534 | + | 0.386486i | 0.940638 | + | 0.339411i | \(0.110228\pi\) |
−0.998891 | + | 0.0470744i | \(0.985010\pi\) | |||||||
\(402\) | 36.7428 | + | 39.5994i | 1.83257 | + | 1.97504i | ||||
\(403\) | −0.774980 | − | 1.60926i | −0.0386045 | − | 0.0801631i | ||||
\(404\) | 11.4678 | + | 7.81858i | 0.570542 | + | 0.388989i | ||||
\(405\) | 28.2120 | + | 11.0724i | 1.40187 | + | 0.550192i | ||||
\(406\) | −44.3035 | − | 13.6658i | −2.19874 | − | 0.678223i | ||||
\(407\) | 36.8669 | + | 34.2075i | 1.82742 | + | 1.69560i | ||||
\(408\) | 9.31972 | + | 8.28789i | 0.461395 | + | 0.410312i | ||||
\(409\) | −22.4362 | − | 28.1341i | −1.10940 | − | 1.39114i | −0.911689 | − | 0.410882i | \(-0.865221\pi\) |
−0.197711 | − | 0.980260i | \(-0.563351\pi\) | |||||||
\(410\) | −33.8942 | − | 31.4492i | −1.67391 | − | 1.55317i | ||||
\(411\) | 3.22294 | − | 10.4485i | 0.158976 | − | 0.515388i | ||||
\(412\) | −1.88362 | + | 4.79938i | −0.0927993 | + | 0.236449i | ||||
\(413\) | 19.7415 | − | 28.9555i | 0.971417 | − | 1.42481i | ||||
\(414\) | −0.568762 | − | 1.18105i | −0.0279531 | − | 0.0580452i | ||||
\(415\) | 8.09154 | + | 8.72061i | 0.397198 | + | 0.428078i | ||||
\(416\) | 1.92980 | + | 0.290870i | 0.0946162 | + | 0.0142611i | ||||
\(417\) | 0.642567 | + | 8.57446i | 0.0314666 | + | 0.419893i | ||||
\(418\) | 1.52236 | − | 0.597481i | 0.0744609 | − | 0.0292237i | ||||
\(419\) | −24.1266 | − | 5.50673i | −1.17866 | − | 0.269021i | −0.412066 | − | 0.911154i | \(-0.635193\pi\) |
−0.766593 | + | 0.642133i | \(0.778050\pi\) | |||||||
\(420\) | −18.1739 | − | 1.36194i | −0.886793 | − | 0.0664560i | ||||
\(421\) | −21.1625 | + | 6.52776i | −1.03140 | + | 0.318144i | −0.763845 | − | 0.645400i | \(-0.776691\pi\) |
−0.267551 | + | 0.963544i | \(0.586215\pi\) | |||||||
\(422\) | −14.1829 | + | 29.4512i | −0.690415 | + | 1.43366i | ||||
\(423\) | −6.18780 | − | 10.7176i | −0.300861 | − | 0.521107i | ||||
\(424\) | −8.33843 | + | 14.4426i | −0.404950 | + | 0.701394i | ||||
\(425\) | −6.55194 | − | 6.76862i | −0.317816 | − | 0.328326i | ||||
\(426\) | −9.55804 | − | 41.8765i | −0.463089 | − | 2.02892i | ||||
\(427\) | 26.2841 | − | 3.96169i | 1.27198 | − | 0.191720i | ||||
\(428\) | −0.313579 | − | 0.250071i | −0.0151574 | − | 0.0120876i | ||||
\(429\) | 3.37849 | 0.163115 | ||||||||
\(430\) | 11.9209 | − | 29.2673i | 0.574875 | − | 1.41139i | ||||
\(431\) | − | 14.1742i | − | 0.682747i | −0.939928 | − | 0.341373i | \(-0.889108\pi\) | ||
0.939928 | − | 0.341373i | \(-0.110892\pi\) | |||||||
\(432\) | 13.3274 | + | 10.6283i | 0.641217 | + | 0.511354i | ||||
\(433\) | −7.50384 | + | 1.13102i | −0.360611 | + | 0.0543534i | −0.326849 | − | 0.945076i | \(-0.605987\pi\) |
−0.0337621 | + | 0.999430i | \(0.510749\pi\) | |||||||
\(434\) | 5.90760 | + | 25.8829i | 0.283574 | + | 1.24242i | ||||
\(435\) | 30.2508 | + | 44.3698i | 1.45042 | + | 2.12737i | ||||
\(436\) | −6.85938 | − | 3.96027i | −0.328505 | − | 0.189662i | ||||
\(437\) | −0.0868693 | + | 0.0501540i | −0.00415552 | + | 0.00239919i | ||||
\(438\) | 35.0215 | + | 16.8655i | 1.67339 | + | 0.805864i | ||||
\(439\) | −0.635931 | − | 2.06164i | −0.0303513 | − | 0.0983966i | 0.939130 | − | 0.343563i | \(-0.111634\pi\) |
−0.969481 | + | 0.245166i | \(0.921158\pi\) | |||||||
\(440\) | −1.44689 | + | 19.3074i | −0.0689778 | + | 0.920445i | ||||
\(441\) | −0.125559 | + | 0.550109i | −0.00597899 | + | 0.0261957i | ||||
\(442\) | −2.05990 | + | 1.24806i | −0.0979795 | + | 0.0593640i | ||||
\(443\) | −2.48177 | − | 33.1170i | −0.117913 | − | 1.57344i | −0.671729 | − | 0.740797i | \(-0.734448\pi\) |
0.553817 | − | 0.832639i | \(-0.313171\pi\) | |||||||
\(444\) | 24.9160 | + | 3.75548i | 1.18246 | + | 0.178227i | ||||
\(445\) | −11.7161 | − | 12.6270i | −0.555398 | − | 0.598577i | ||||
\(446\) | 33.2254 | − | 16.0005i | 1.57327 | − | 0.757647i | ||||
\(447\) | 5.11911 | − | 7.50836i | 0.242126 | − | 0.355133i | ||||
\(448\) | −1.83120 | − | 0.718695i | −0.0865163 | − | 0.0339551i | ||||
\(449\) | 7.91972 | − | 25.6751i | 0.373755 | − | 1.21168i | −0.552092 | − | 0.833783i | \(-0.686170\pi\) |
0.925847 | − | 0.377900i | \(-0.123354\pi\) | |||||||
\(450\) | 4.05089 | + | 3.75867i | 0.190961 | + | 0.177186i | ||||
\(451\) | −29.6034 | − | 37.1215i | −1.39397 | − | 1.74798i | ||||
\(452\) | 14.4883 | − | 11.5540i | 0.681471 | − | 0.543455i | ||||
\(453\) | −29.7668 | + | 32.0810i | −1.39857 | + | 1.50730i | ||||
\(454\) | −4.39285 | + | 14.2413i | −0.206166 | + | 0.668375i | ||||
\(455\) | −0.878530 | + | 2.23846i | −0.0411861 | + | 0.104941i | ||||
\(456\) | −0.315366 | + | 0.462556i | −0.0147683 | + | 0.0216612i | ||||
\(457\) | 5.98515 | − | 2.88230i | 0.279973 | − | 0.134828i | −0.288628 | − | 0.957441i | \(-0.593199\pi\) |
0.568601 | + | 0.822613i | \(0.307485\pi\) | |||||||
\(458\) | −19.6169 | + | 18.2018i | −0.916637 | + | 0.850515i | ||||
\(459\) | −14.1540 | + | 0.299183i | −0.660650 | + | 0.0139647i | ||||
\(460\) | 0.129887 | + | 1.73322i | 0.00605602 | + | 0.0808120i | ||||
\(461\) | −1.97251 | − | 5.02587i | −0.0918689 | − | 0.234078i | 0.877552 | − | 0.479481i | \(-0.159175\pi\) |
−0.969421 | + | 0.245403i | \(0.921080\pi\) | |||||||
\(462\) | −48.9574 | − | 11.1742i | −2.27770 | − | 0.519871i | ||||
\(463\) | 0.745266 | − | 9.94488i | 0.0346354 | − | 0.462178i | −0.952741 | − | 0.303785i | \(-0.901750\pi\) |
0.987376 | − | 0.158393i | \(-0.0506313\pi\) | |||||||
\(464\) | 13.9523 | + | 45.2323i | 0.647720 | + | 2.09986i | ||||
\(465\) | 13.3420 | − | 27.7050i | 0.618721 | − | 1.28479i | ||||
\(466\) | 23.1581 | − | 13.3703i | 1.07278 | − | 0.619368i | ||||
\(467\) | −14.4431 | + | 25.0161i | −0.668346 | + | 1.15761i | 0.310021 | + | 0.950730i | \(0.399664\pi\) |
−0.978367 | + | 0.206879i | \(0.933669\pi\) | |||||||
\(468\) | 0.435051 | − | 0.296613i | 0.0201102 | − | 0.0137109i | ||||
\(469\) | −38.4931 | + | 8.78580i | −1.77745 | + | 0.405690i | ||||
\(470\) | 6.56222 | + | 43.5375i | 0.302693 | + | 2.00824i | ||||
\(471\) | −22.4273 | − | 17.8852i | −1.03340 | − | 0.824107i | ||||
\(472\) | −18.6533 | −0.858589 | ||||||||
\(473\) | 16.5839 | − | 27.8939i | 0.762531 | − | 1.28256i | ||||
\(474\) | −1.35108 | −0.0620572 | ||||||||
\(475\) | 0.263647 | − | 0.330603i | 0.0120970 | − | 0.0151691i | ||||
\(476\) | 12.6629 | − | 4.20104i | 0.580403 | − | 0.192554i | ||||
\(477\) | 3.46782 | + | 15.1935i | 0.158781 | + | 0.695664i | ||||
\(478\) | −32.0282 | + | 21.8365i | −1.46494 | + | 0.998776i | ||||
\(479\) | 3.71611 | + | 2.14550i | 0.169793 | + | 0.0980303i | 0.582488 | − | 0.812839i | \(-0.302079\pi\) |
−0.412695 | + | 0.910869i | \(0.635412\pi\) | |||||||
\(480\) | 16.7993 | + | 29.0972i | 0.766779 | + | 1.32810i | ||||
\(481\) | 1.44253 | − | 2.99544i | 0.0657737 | − | 0.136580i | ||||
\(482\) | 0.872143 | + | 2.82742i | 0.0397250 | + | 0.128785i | ||||
\(483\) | 3.07143 | + | 0.230171i | 0.139755 | + | 0.0104732i | ||||
\(484\) | 3.56686 | − | 15.6274i | 0.162130 | − | 0.710338i | ||||
\(485\) | −10.6454 | − | 27.1240i | −0.483382 | − | 1.23164i | ||||
\(486\) | 23.3807 | − | 1.75214i | 1.06057 | − | 0.0794787i | ||||
\(487\) | 3.27866 | − | 21.7525i | 0.148570 | − | 0.985699i | −0.782970 | − | 0.622060i | \(-0.786296\pi\) |
0.931540 | − | 0.363639i | \(-0.118466\pi\) | |||||||
\(488\) | −9.62325 | − | 10.3714i | −0.435624 | − | 0.469491i | ||||
\(489\) | −31.9505 | + | 15.3866i | −1.44485 | + | 0.695805i | ||||
\(490\) | 1.13085 | − | 1.65866i | 0.0510867 | − | 0.0749305i | ||||
\(491\) | 9.04458 | − | 23.0452i | 0.408176 | − | 1.04002i | −0.567998 | − | 0.823030i | \(-0.692282\pi\) |
0.976175 | − | 0.216986i | \(-0.0696227\pi\) | |||||||
\(492\) | −22.7316 | − | 7.01176i | −1.02482 | − | 0.316115i | ||||
\(493\) | −32.9419 | − | 21.4539i | −1.48363 | − | 0.966235i | ||||
\(494\) | −0.0674068 | − | 0.0845255i | −0.00303278 | − | 0.00380298i | ||||
\(495\) | 11.2808 | + | 14.1457i | 0.507036 | + | 0.635803i | ||||
\(496\) | 18.4361 | − | 19.8694i | 0.827807 | − | 0.892164i | ||||
\(497\) | 29.9998 | + | 9.25372i | 1.34568 | + | 0.415086i | ||||
\(498\) | 15.2876 | + | 5.99994i | 0.685054 | + | 0.268864i | ||||
\(499\) | −1.67999 | + | 2.46410i | −0.0752068 | + | 0.110308i | −0.861999 | − | 0.506909i | \(-0.830788\pi\) |
0.786792 | + | 0.617218i | \(0.211740\pi\) | |||||||
\(500\) | 3.77808 | + | 7.84526i | 0.168961 | + | 0.350851i | ||||
\(501\) | −4.95131 | + | 4.59414i | −0.221208 | + | 0.205251i | ||||
\(502\) | 12.1608 | + | 1.83295i | 0.542764 | + | 0.0818086i | ||||
\(503\) | −13.6862 | + | 1.02564i | −0.610236 | + | 0.0457308i | −0.376264 | − | 0.926513i | \(-0.622791\pi\) |
−0.233972 | + | 0.972243i | \(0.575172\pi\) | |||||||
\(504\) | 4.97769 | − | 1.95360i | 0.221724 | − | 0.0870203i | ||||
\(505\) | 30.7377 | + | 7.01568i | 1.36781 | + | 0.312194i | ||||
\(506\) | −0.357890 | + | 4.77571i | −0.0159101 | + | 0.212306i | ||||
\(507\) | 7.93026 | + | 25.7093i | 0.352195 | + | 1.14179i | ||||
\(508\) | −0.248320 | − | 0.119584i | −0.0110174 | − | 0.00530570i | ||||
\(509\) | −4.52094 | − | 7.83051i | −0.200387 | − | 0.347081i | 0.748266 | − | 0.663399i | \(-0.230887\pi\) |
−0.948653 | + | 0.316318i | \(0.897553\pi\) | |||||||
\(510\) | −38.9097 | − | 14.3296i | −1.72295 | − | 0.634525i | ||||
\(511\) | −23.4740 | + | 16.0043i | −1.03843 | + | 0.707990i | ||||
\(512\) | 3.38744 | + | 14.8413i | 0.149705 | + | 0.655901i | ||||
\(513\) | −0.0947139 | − | 0.628386i | −0.00418172 | − | 0.0277439i | ||||
\(514\) | −9.93221 | + | 12.4546i | −0.438091 | + | 0.549349i | ||||
\(515\) | 11.7117i | 0.516080i | ||||||||
\(516\) | −1.00751 | − | 16.2276i | −0.0443530 | − | 0.714378i | ||||
\(517\) | 45.2130i | 1.98846i | ||||||||
\(518\) | −30.8108 | + | 38.6356i | −1.35375 | + | 1.69755i | ||||
\(519\) | 18.9019 | − | 2.84901i | 0.829702 | − | 0.125057i | ||||
\(520\) | 1.24785 | − | 0.284813i | 0.0547218 | − | 0.0124899i | ||||
\(521\) | −0.585747 | − | 0.859133i | −0.0256620 | − | 0.0376393i | 0.813193 | − | 0.581994i | \(-0.197727\pi\) |
−0.838855 | + | 0.544354i | \(0.816775\pi\) | |||||||
\(522\) | 19.9713 | + | 11.5305i | 0.874122 | + | 0.504674i | ||||
\(523\) | −6.68763 | − | 11.5833i | −0.292430 | − | 0.506503i | 0.681954 | − | 0.731395i | \(-0.261130\pi\) |
−0.974384 | + | 0.224892i | \(0.927797\pi\) | |||||||
\(524\) | −6.80076 | + | 14.1219i | −0.297093 | + | 0.616919i | ||||
\(525\) | −12.4073 | + | 3.82715i | −0.541500 | + | 0.167031i | ||||
\(526\) | 0.219091 | − | 2.92356i | 0.00955281 | − | 0.127473i | ||||
\(527\) | −1.20747 | + | 22.4784i | −0.0525982 | + | 0.979176i | ||||
\(528\) | 18.7308 | + | 47.7252i | 0.815151 | + | 2.07697i | ||||
\(529\) | 1.69684 | + | 22.6428i | 0.0737757 | + | 0.984468i | ||||
\(530\) | 8.26362 | − | 54.8255i | 0.358949 | − | 2.38147i | ||||
\(531\) | −12.7780 | + | 11.8562i | −0.554518 | + | 0.514517i | ||||
\(532\) | 0.259842 | + | 0.539568i | 0.0112656 | + | 0.0233932i | ||||
\(533\) | −1.76814 | + | 2.59338i | −0.0765866 | + | 0.112332i | ||||
\(534\) | −22.1357 | − | 8.68761i | −0.957904 | − | 0.375950i | ||||
\(535\) | −0.870610 | − | 0.268548i | −0.0376397 | − | 0.0116103i | ||||
\(536\) | 15.4055 | + | 14.2942i | 0.665417 | + | 0.617417i | ||||
\(537\) | 23.6882 | − | 18.8907i | 1.02222 | − | 0.815194i | ||||
\(538\) | −7.89439 | + | 6.29557i | −0.340351 | + | 0.271421i | ||||
\(539\) | 1.40214 | − | 1.51115i | 0.0603945 | − | 0.0650898i | ||||
\(540\) | −10.5221 | − | 3.24564i | −0.452800 | − | 0.139670i | ||||
\(541\) | 8.58983 | + | 3.37126i | 0.369306 | + | 0.144942i | 0.542734 | − | 0.839905i | \(-0.317389\pi\) |
−0.173428 | + | 0.984847i | \(0.555484\pi\) | |||||||
\(542\) | −5.04271 | − | 3.43806i | −0.216603 | − | 0.147677i | ||||
\(543\) | 49.1136 | − | 23.6519i | 2.10767 | − | 1.01500i | ||||
\(544\) | −19.5497 | − | 14.9256i | −0.838188 | − | 0.639928i | ||||
\(545\) | −17.7911 | − | 2.68158i | −0.762087 | − | 0.114866i | ||||
\(546\) | 0.248079 | + | 3.31039i | 0.0106168 | + | 0.141672i | ||||
\(547\) | 10.4772 | − | 4.11199i | 0.447972 | − | 0.175816i | −0.130621 | − | 0.991432i | \(-0.541697\pi\) |
0.578593 | + | 0.815616i | \(0.303602\pi\) | |||||||
\(548\) | −1.38538 | + | 6.06977i | −0.0591807 | + | 0.259288i | ||||
\(549\) | −13.1843 | − | 0.988029i | −0.562693 | − | 0.0421680i | ||||
\(550\) | −5.95077 | − | 19.2919i | −0.253742 | − | 0.822611i | ||||
\(551\) | 0.765647 | − | 1.58988i | 0.0326177 | − | 0.0677313i | ||||
\(552\) | −0.819704 | − | 1.41977i | −0.0348889 | − | 0.0604294i | ||||
\(553\) | 0.493751 | − | 0.855202i | 0.0209964 | − | 0.0363669i | ||||
\(554\) | −10.9661 | − | 16.0843i | −0.465906 | − | 0.683358i | ||||
\(555\) | 55.8026 | − | 12.7366i | 2.36869 | − | 0.540638i | ||||
\(556\) | −0.729693 | − | 4.84120i | −0.0309459 | − | 0.205313i | ||||
\(557\) | −4.91126 | + | 6.15852i | −0.208097 | + | 0.260945i | −0.874916 | − | 0.484274i | \(-0.839084\pi\) |
0.666820 | + | 0.745219i | \(0.267655\pi\) | |||||||
\(558\) | − | 13.2051i | − | 0.559018i | ||||||
\(559\) | −2.08521 | − | 0.504087i | −0.0881952 | − | 0.0213206i | ||||
\(560\) | −36.4915 | −1.54205 | ||||||||
\(561\) | −37.3164 | − | 20.5056i | −1.57550 | − | 0.865747i | ||||
\(562\) | 8.79773 | − | 1.32604i | 0.371110 | − | 0.0559358i | ||||
\(563\) | −3.47068 | − | 15.2060i | −0.146272 | − | 0.640857i | −0.993902 | − | 0.110270i | \(-0.964828\pi\) |
0.847630 | − | 0.530588i | \(-0.178029\pi\) | |||||||
\(564\) | 12.7606 | + | 18.7164i | 0.537320 | + | 0.788103i | ||||
\(565\) | 21.0475 | − | 36.4553i | 0.885474 | − | 1.53369i | ||||
\(566\) | 27.6630 | − | 15.9712i | 1.16276 | − | 0.671321i | ||||
\(567\) | −13.2681 | + | 27.5516i | −0.557209 | + | 1.15706i | ||||
\(568\) | −4.92547 | − | 15.9680i | −0.206668 | − | 0.670001i | ||||
\(569\) | −0.272301 | + | 3.63360i | −0.0114154 | + | 0.152329i | 0.988583 | + | 0.150676i | \(0.0481450\pi\) |
−0.999999 | + | 0.00165247i | \(0.999474\pi\) | |||||||
\(570\) | 0.414168 | − | 1.81459i | 0.0173476 | − | 0.0760047i | ||||
\(571\) | −28.8822 | + | 11.3354i | −1.20868 | + | 0.474374i | −0.882221 | − | 0.470836i | \(-0.843952\pi\) |
−0.326464 | + | 0.945210i | \(0.605857\pi\) | |||||||
\(572\) | −1.91829 | + | 0.143756i | −0.0802079 | + | 0.00601075i | ||||
\(573\) | 1.17348 | − | 7.78553i | 0.0490228 | − | 0.325245i | ||||
\(574\) | 34.1994 | − | 31.7324i | 1.42746 | − | 1.32449i | ||||
\(575\) | 0.537274 | + | 1.11566i | 0.0224059 | + | 0.0465263i | ||||
\(576\) | 0.808452 | + | 0.551193i | 0.0336855 | + | 0.0229664i | ||||
\(577\) | 14.2623 | − | 36.3398i | 0.593748 | − | 1.51284i | −0.245667 | − | 0.969354i | \(-0.579007\pi\) |
0.839415 | − | 0.543491i | \(-0.182898\pi\) | |||||||
\(578\) | 30.3272 | − | 1.28267i | 1.26144 | − | 0.0533520i | ||||
\(579\) | 27.5918 | + | 25.6015i | 1.14668 | + | 1.06396i | ||||
\(580\) | −19.0643 | − | 23.9058i | −0.791600 | − | 0.992635i | ||||
\(581\) | −9.38467 | + | 7.48402i | −0.389342 | + | 0.310490i | ||||
\(582\) | −29.4872 | − | 27.3602i | −1.22229 | − | 1.13411i | ||||
\(583\) | 16.7820 | − | 54.4059i | 0.695040 | − | 2.25326i | ||||
\(584\) | 14.0768 | + | 5.52474i | 0.582502 | + | 0.228615i | ||||
\(585\) | 0.673777 | − | 0.988249i | 0.0278573 | − | 0.0408591i | ||||
\(586\) | 25.4590 | − | 12.2604i | 1.05170 | − | 0.506474i | ||||
\(587\) | −2.82835 | + | 2.62432i | −0.116738 | + | 0.108317i | −0.736382 | − | 0.676566i | \(-0.763467\pi\) |
0.619644 | + | 0.784883i | \(0.287277\pi\) | |||||||
\(588\) | 0.153935 | − | 1.02129i | 0.00634815 | − | 0.0421172i | ||||
\(589\) | −1.00764 | + | 0.0755121i | −0.0415191 | + | 0.00311142i | ||||
\(590\) | 57.7290 | − | 22.6570i | 2.37666 | − | 0.932772i | ||||
\(591\) | 7.76930 | − | 34.0395i | 0.319586 | − | 1.40020i | ||||
\(592\) | 50.3117 | + | 3.77034i | 2.06780 | + | 0.154960i | ||||
\(593\) | −25.8061 | + | 7.96014i | −1.05973 | + | 0.326884i | −0.775156 | − | 0.631770i | \(-0.782329\pi\) |
−0.284575 | + | 0.958654i | \(0.591853\pi\) | |||||||
\(594\) | −27.3358 | − | 13.1642i | −1.12160 | − | 0.540135i | ||||
\(595\) | 23.2898 | − | 19.3922i | 0.954789 | − | 0.795002i | ||||
\(596\) | −2.58713 | + | 4.48104i | −0.105973 | + | 0.183550i | ||||
\(597\) | 24.1871 | − | 16.4905i | 0.989911 | − | 0.674910i | ||||
\(598\) | 0.308656 | − | 0.0704488i | 0.0126219 | − | 0.00288087i | ||||
\(599\) | 24.4163 | − | 3.68016i | 0.997621 | − | 0.150367i | 0.370121 | − | 0.928984i | \(-0.379316\pi\) |
0.627500 | + | 0.778616i | \(0.284078\pi\) | |||||||
\(600\) | 5.40330 | + | 4.30899i | 0.220589 | + | 0.175914i | ||||
\(601\) | − | 0.122966i | − | 0.00501590i | −0.999997 | − | 0.00250795i | \(-0.999202\pi\) | ||
0.999997 | − | 0.00250795i | \(-0.000798306\pi\) | |||||||
\(602\) | 28.5494 | + | 14.2014i | 1.16359 | + | 0.578806i | ||||
\(603\) | 19.6387 | 0.799750 | ||||||||
\(604\) | 15.5364 | − | 19.4821i | 0.632168 | − | 0.792714i | ||||
\(605\) | −5.42689 | − | 36.0051i | −0.220634 | − | 1.46381i | ||||
\(606\) | 42.4334 | − | 9.68516i | 1.72374 | − | 0.393433i | ||||
\(607\) | 17.8931 | + | 26.2443i | 0.726257 | + | 1.06522i | 0.994789 | + | 0.101952i | \(0.0325090\pi\) |
−0.268532 | + | 0.963271i | \(0.586539\pi\) | |||||||
\(608\) | 0.552032 | − | 0.956148i | 0.0223879 | − | 0.0387769i | ||||
\(609\) | −46.9252 | + | 27.0923i | −1.90151 | + | 1.09783i | ||||
\(610\) | 42.3798 | + | 20.4090i | 1.71591 | + | 0.826338i | ||||
\(611\) | 2.85612 | − | 0.880996i | 0.115546 | − | 0.0356413i | ||||
\(612\) | −6.60554 | + | 0.635650i | −0.267013 | + | 0.0256946i | ||||
\(613\) | −0.839459 | + | 3.67791i | −0.0339054 | + | 0.148549i | −0.989047 | − | 0.147600i | \(-0.952845\pi\) |
0.955142 | + | 0.296149i | \(0.0957025\pi\) | |||||||
\(614\) | −3.97629 | − | 10.1314i | −0.160470 | − | 0.408871i | ||||
\(615\) | −53.8860 | + | 4.03820i | −2.17289 | + | 0.162836i | ||||
\(616\) | −19.3177 | − | 2.91168i | −0.778333 | − | 0.117315i | ||||
\(617\) | 8.92909 | + | 9.62327i | 0.359472 | + | 0.387418i | 0.886731 | − | 0.462286i | \(-0.152971\pi\) |
−0.527259 | + | 0.849705i | \(0.676780\pi\) | |||||||
\(618\) | 7.01505 | + | 14.5669i | 0.282187 | + | 0.585967i | ||||
\(619\) | −21.4429 | + | 31.4510i | −0.861864 | + | 1.26412i | 0.101205 | + | 0.994866i | \(0.467730\pi\) |
−0.963069 | + | 0.269256i | \(0.913222\pi\) | |||||||
\(620\) | −6.39668 | + | 16.2985i | −0.256897 | + | 0.654563i | ||||
\(621\) | 1.77826 | + | 0.548522i | 0.0713593 | + | 0.0220114i | ||||
\(622\) | −3.86254 | + | 4.16283i | −0.154874 | + | 0.166914i | ||||
\(623\) | 13.5885 | − | 10.8365i | 0.544412 | − | 0.434154i | ||||
\(624\) | 2.64984 | − | 2.11317i | 0.106078 | − | 0.0845947i | ||||
\(625\) | 22.8739 | + | 21.2239i | 0.914956 | + | 0.848955i | ||||
\(626\) | −7.50957 | + | 24.3454i | −0.300143 | + | 0.973040i | ||||
\(627\) | 0.698274 | − | 1.77917i | 0.0278864 | − | 0.0710533i | ||||
\(628\) | 13.4952 | + | 9.20085i | 0.538516 | + | 0.367154i | ||||
\(629\) | −34.1138 | + | 24.3301i | −1.36021 | + | 0.970106i | ||||
\(630\) | −13.0322 | + | 12.0921i | −0.519216 | + | 0.481762i | ||||
\(631\) | −24.3217 | − | 3.66590i | −0.968231 | − | 0.145937i | −0.354157 | − | 0.935186i | \(-0.615232\pi\) |
−0.614074 | + | 0.789249i | \(0.710470\pi\) | |||||||
\(632\) | −0.524147 | + | 0.0392794i | −0.0208495 | + | 0.00156245i | ||||
\(633\) | 13.9570 | + | 35.5620i | 0.554743 | + | 1.41346i | ||||
\(634\) | −14.6242 | − | 3.33787i | −0.580799 | − | 0.132564i | ||||
\(635\) | −0.624326 | − | 0.0467868i | −0.0247756 | − | 0.00185668i | ||||
\(636\) | −8.40810 | − | 27.2584i | −0.333403 | − | 1.08087i | ||||
\(637\) | −0.122781 | − | 0.0591283i | −0.00486476 | − | 0.00234275i | ||||
\(638\) | −42.1253 | − | 72.9632i | −1.66776 | − | 2.88864i | ||||
\(639\) | −13.5235 | − | 7.80778i | −0.534980 | − | 0.308871i | ||||
\(640\) | 16.1788 | + | 23.7300i | 0.639524 | + | 0.938010i | ||||
\(641\) | 27.3167 | − | 6.23485i | 1.07894 | − | 0.246262i | 0.354123 | − | 0.935199i | \(-0.384780\pi\) |
0.724821 | + | 0.688937i | \(0.241922\pi\) | |||||||
\(642\) | −1.24371 | + | 0.187459i | −0.0490852 | + | 0.00739841i | ||||
\(643\) | −11.5589 | − | 9.21792i | −0.455839 | − | 0.363519i | 0.368489 | − | 0.929632i | \(-0.379875\pi\) |
−0.824328 | + | 0.566113i | \(0.808447\pi\) | |||||||
\(644\) | −1.75374 | −0.0691069 | ||||||||
\(645\) | −15.5976 | − | 33.4778i | −0.614156 | − | 1.31819i | ||||
\(646\) | 0.231504 | + | 1.34273i | 0.00910840 | + | 0.0528290i | ||||
\(647\) | 14.3615 | − | 18.0087i | 0.564608 | − | 0.707996i | −0.414794 | − | 0.909915i | \(-0.636146\pi\) |
0.979402 | + | 0.201919i | \(0.0647178\pi\) | |||||||
\(648\) | 16.0950 | − | 2.42592i | 0.632269 | − | 0.0952993i | ||||
\(649\) | 62.0865 | − | 14.1708i | 2.43711 | − | 0.556254i | ||||
\(650\) | −1.10272 | + | 0.751824i | −0.0432524 | + | 0.0294890i | ||||
\(651\) | 26.8703 | + | 15.5136i | 1.05313 | + | 0.608025i | ||||
\(652\) | 17.4867 | − | 10.0959i | 0.684831 | − | 0.395388i | ||||
\(653\) | 4.60712 | − | 9.56679i | 0.180291 | − | 0.374378i | −0.791163 | − | 0.611605i | \(-0.790524\pi\) |
0.971454 | + | 0.237227i | \(0.0762386\pi\) | |||||||
\(654\) | −23.7346 | + | 7.32114i | −0.928095 | + | 0.286279i | ||||
\(655\) | −2.66076 | + | 35.5054i | −0.103965 | + | 1.38731i | ||||
\(656\) | −46.4373 | − | 10.5990i | −1.81307 | − | 0.413822i | ||||
\(657\) | 13.1545 | − | 5.16278i | 0.513207 | − | 0.201419i | ||||
\(658\) | −44.3016 | + | 3.31994i | −1.72705 | + | 0.129425i | ||||
\(659\) | 26.1871 | + | 3.94707i | 1.02010 | + | 0.153756i | 0.637737 | − | 0.770255i | \(-0.279871\pi\) |
0.382367 | + | 0.924010i | \(0.375109\pi\) | |||||||
\(660\) | −22.5259 | − | 24.2771i | −0.876818 | − | 0.944985i | ||||
\(661\) | −2.99266 | + | 1.44119i | −0.116401 | + | 0.0560558i | −0.491178 | − | 0.871059i | \(-0.663434\pi\) |
0.374777 | + | 0.927115i | \(0.377719\pi\) | |||||||
\(662\) | 0.0226508 | + | 0.0154431i | 0.000880349 | + | 0.000600212i | ||||
\(663\) | −0.568218 | + | 2.75685i | −0.0220677 | + | 0.107067i | ||||
\(664\) | 6.10521 | + | 1.88321i | 0.236928 | + | 0.0730826i | ||||
\(665\) | 0.997234 | + | 0.925298i | 0.0386711 | + | 0.0358815i | ||||
\(666\) | 19.2172 | − | 15.3252i | 0.744651 | − | 0.593839i | ||||
\(667\) | 3.22191 | + | 4.04014i | 0.124753 | + | 0.156435i | ||||
\(668\) | 2.61585 | − | 2.81922i | 0.101210 | − | 0.109079i | ||||
\(669\) | 12.7035 | − | 41.1838i | 0.491146 | − | 1.59226i | ||||
\(670\) | −65.0397 | − | 25.5262i | −2.51270 | − | 0.986164i | ||||
\(671\) | 39.9095 | + | 27.2098i | 1.54069 | + | 1.05042i | ||||
\(672\) | −30.5439 | + | 14.7092i | −1.17826 | + | 0.567418i | ||||
\(673\) | 7.18999 | + | 7.74897i | 0.277154 | + | 0.298701i | 0.856253 | − | 0.516556i | \(-0.172786\pi\) |
−0.579100 | + | 0.815257i | \(0.696596\pi\) | |||||||
\(674\) | 4.67404 | − | 31.0102i | 0.180037 | − | 1.19447i | ||||
\(675\) | −7.82303 | + | 0.586255i | −0.301108 | + | 0.0225650i | ||||
\(676\) | −5.59671 | − | 14.2602i | −0.215258 | − | 0.548469i | ||||
\(677\) | −19.1298 | − | 4.36625i | −0.735218 | − | 0.167809i | −0.161513 | − | 0.986871i | \(-0.551637\pi\) |
−0.573705 | + | 0.819062i | \(0.694494\pi\) | |||||||
\(678\) | 4.34272 | − | 57.9496i | 0.166781 | − | 2.22554i | ||||
\(679\) | 28.0944 | − | 8.66598i | 1.07816 | − | 0.332570i | ||||
\(680\) | −15.5115 | − | 4.42791i | −0.594839 | − | 0.169803i | ||||
\(681\) | 8.70876 | + | 15.0840i | 0.333720 | + | 0.578021i | ||||
\(682\) | −24.1218 | + | 41.7801i | −0.923670 | + | 1.59984i | ||||
\(683\) | 18.6102 | + | 27.2962i | 0.712101 | + | 1.04446i | 0.996321 | + | 0.0857014i | \(0.0273131\pi\) |
−0.284220 | + | 0.958759i | \(0.591735\pi\) | |||||||
\(684\) | −0.0662842 | − | 0.290410i | −0.00253444 | − | 0.0111041i | ||||
\(685\) | 2.10783 | + | 13.9845i | 0.0805360 | + | 0.534321i | ||||
\(686\) | −25.0287 | − | 19.9597i | −0.955601 | − | 0.762067i | ||||
\(687\) | 31.2750i | 1.19321i | ||||||||
\(688\) | −4.43985 | − | 32.2508i | −0.169268 | − | 1.22955i | ||||
\(689\) | −3.76384 | −0.143391 | ||||||||
\(690\) | 4.26135 | + | 3.39831i | 0.162227 | + | 0.129371i | ||||
\(691\) | 1.33079 | + | 8.82925i | 0.0506258 | + | 0.335880i | 0.999778 | + | 0.0210632i | \(0.00670511\pi\) |
−0.949152 | + | 0.314817i | \(0.898057\pi\) | |||||||
\(692\) | −10.6112 | + | 2.42194i | −0.403378 | + | 0.0920683i | ||||
\(693\) | −15.0838 | + | 10.2840i | −0.572986 | + | 0.390656i | ||||
\(694\) | 12.8467 | + | 7.41705i | 0.487655 | + | 0.281547i | ||||
\(695\) | −5.56067 | − | 9.63137i | −0.210928 | − | 0.365339i | ||||
\(696\) | 25.9846 | + | 12.5135i | 0.984945 | + | 0.474325i | ||||
\(697\) | 35.2700 | − | 17.9130i | 1.33595 | − | 0.678503i | ||||
\(698\) | 0.199417 | − | 2.66104i | 0.00754806 | − | 0.100722i | ||||
\(699\) | 6.95415 | − | 30.4681i | 0.263030 | − | 1.15241i | ||||
\(700\) | 6.88198 | − | 2.70098i | 0.260115 | − | 0.102087i | ||||
\(701\) | 0.480375 | + | 6.41016i | 0.0181435 | + | 0.242108i | 0.998901 | + | 0.0468768i | \(0.0149268\pi\) |
−0.980757 | + | 0.195232i | \(0.937454\pi\) | |||||||
\(702\) | −0.298938 | + | 1.98332i | −0.0112827 | + | 0.0748557i | ||||
\(703\) | −1.27931 | − | 1.37876i | −0.0482500 | − | 0.0520011i | ||||
\(704\) | −1.55102 | − | 3.22074i | −0.0584564 | − | 0.121386i | ||||
\(705\) | 42.5157 | + | 28.9867i | 1.60123 | + | 1.09170i | ||||
\(706\) | −4.19672 | + | 10.6931i | −0.157946 | + | 0.402439i | ||||
\(707\) | −9.37679 | + | 30.3988i | −0.352650 | + | 1.14326i | ||||
\(708\) | 21.7019 | − | 23.3891i | 0.815607 | − | 0.879016i | ||||
\(709\) | 21.0039 | − | 16.7501i | 0.788819 | − | 0.629062i | −0.143930 | − | 0.989588i | \(-0.545974\pi\) |
0.932749 | + | 0.360526i | \(0.117403\pi\) | |||||||
\(710\) | 34.6387 | + | 43.4356i | 1.29997 | + | 1.63011i | ||||
\(711\) | −0.334087 | + | 0.360061i | −0.0125293 | + | 0.0135033i | ||||
\(712\) | −8.84003 | − | 2.72679i | −0.331294 | − | 0.102191i | ||||
\(713\) | 1.08106 | − | 2.75448i | 0.0404858 | − | 0.103156i | ||||
\(714\) | 17.3521 | − | 38.0698i | 0.649387 | − | 1.42473i | ||||
\(715\) | −3.93702 | + | 1.89597i | −0.147236 | + | 0.0709052i | ||||
\(716\) | −12.6463 | + | 11.7340i | −0.472613 | + | 0.438520i | ||||
\(717\) | −6.75209 | + | 44.7972i | −0.252161 | + | 1.67298i | ||||
\(718\) | 1.36538 | + | 18.2197i | 0.0509554 | + | 0.679953i | ||||
\(719\) | −2.84676 | + | 1.11727i | −0.106166 | + | 0.0416671i | −0.417830 | − | 0.908525i | \(-0.637209\pi\) |
0.311663 | + | 0.950193i | \(0.399114\pi\) | |||||||
\(720\) | 17.6957 | + | 4.03892i | 0.659479 | + | 0.150522i | ||||
\(721\) | −11.7842 | − | 0.883100i | −0.438865 | − | 0.0328884i | ||||
\(722\) | 32.3597 | − | 9.98166i | 1.20430 | − | 0.371479i | ||||
\(723\) | 3.11557 | + | 1.50038i | 0.115869 | + | 0.0557998i | ||||
\(724\) | −26.8801 | + | 15.5192i | −0.998992 | + | 0.576768i | ||||
\(725\) | −18.8657 | − | 10.8921i | −0.700654 | − | 0.404523i | ||||
\(726\) | −28.3161 | − | 41.5321i | −1.05091 | − | 1.54140i | ||||
\(727\) | 10.1403 | + | 44.4277i | 0.376084 | + | 1.64773i | 0.709318 | + | 0.704889i | \(0.249003\pi\) |
−0.333233 | + | 0.942844i | \(0.608140\pi\) | |||||||
\(728\) | 0.192483 | + | 1.27704i | 0.00713390 | + | 0.0473303i | ||||
\(729\) | −3.91864 | + | 4.91382i | −0.145135 | + | 0.181993i | ||||
\(730\) | −50.2759 | −1.86079 | ||||||||
\(731\) | 19.9722 | + | 18.2239i | 0.738700 | + | 0.674034i | ||||
\(732\) | 24.2005 | 0.894477 | ||||||||
\(733\) | −16.2145 | + | 20.3323i | −0.598896 | + | 0.750992i | −0.985206 | − | 0.171377i | \(-0.945178\pi\) |
0.386309 | + | 0.922369i | \(0.373750\pi\) | |||||||
\(734\) | −0.512748 | − | 3.40186i | −0.0189259 | − | 0.125565i | ||||
\(735\) | −0.522064 | − | 2.28731i | −0.0192566 | − | 0.0843687i | ||||
\(736\) | 1.82128 | + | 2.67133i | 0.0671334 | + | 0.0984666i | ||||
\(737\) | −62.1356 | − | 35.8740i | −2.28879 | − | 1.32143i | ||||
\(738\) | −20.0964 | + | 11.6026i | −0.739757 | + | 0.427099i | ||||
\(739\) | −20.5392 | − | 9.89115i | −0.755546 | − | 0.363852i | 0.0161278 | − | 0.999870i | \(-0.494866\pi\) |
−0.771674 | + | 0.636018i | \(0.780580\pi\) | |||||||
\(740\) | −31.1426 | + | 9.60621i | −1.14482 | + | 0.353131i | ||||
\(741\) | −0.125997 | − | 0.00944217i | −0.00462862 | − | 0.000346867i | ||||
\(742\) | 54.5415 | + | 12.4487i | 2.00228 | + | 0.457008i | ||||
\(743\) | −29.6634 | + | 11.6420i | −1.08824 | + | 0.427104i | −0.840550 | − | 0.541734i | \(-0.817768\pi\) |
−0.247693 | + | 0.968838i | \(0.579673\pi\) | |||||||
\(744\) | −1.23415 | − | 16.4686i | −0.0452462 | − | 0.603768i | ||||
\(745\) | −1.75180 | + | 11.6224i | −0.0641808 | + | 0.425812i | ||||
\(746\) | 8.51358 | − | 7.89945i | 0.311704 | − | 0.289219i | ||||
\(747\) | 5.37921 | − | 2.59049i | 0.196815 | − | 0.0947810i | ||||
\(748\) | 22.0606 | + | 10.0552i | 0.806616 | + | 0.367653i | ||||
\(749\) | 0.335855 | − | 0.855744i | 0.0122719 | − | 0.0312682i | ||||
\(750\) | 26.0930 | + | 8.04862i | 0.952782 | + | 0.293894i | ||||
\(751\) | −29.6628 | + | 31.9688i | −1.08241 | + | 1.16656i | −0.0971893 | + | 0.995266i | \(0.530985\pi\) |
−0.985220 | + | 0.171294i | \(0.945205\pi\) | |||||||
\(752\) | 28.2797 | + | 35.4617i | 1.03126 | + | 1.29315i | ||||
\(753\) | 11.2371 | − | 8.96133i | 0.409504 | − | 0.326569i | ||||
\(754\) | −3.78828 | + | 4.08279i | −0.137961 | + | 0.148686i | ||||
\(755\) | 16.6844 | − | 54.0894i | 0.607206 | − | 1.96851i | ||||
\(756\) | 4.05912 | − | 10.3425i | 0.147629 | − | 0.376152i | ||||
\(757\) | −20.7234 | − | 14.1290i | −0.753206 | − | 0.513527i | 0.124797 | − | 0.992182i | \(-0.460172\pi\) |
−0.878003 | + | 0.478655i | \(0.841124\pi\) | |||||||
\(758\) | −14.0105 | − | 29.0932i | −0.508886 | − | 1.05671i | ||||
\(759\) | 3.80693 | + | 4.10289i | 0.138183 | + | 0.148926i | ||||
\(760\) | 0.107920 | − | 0.716004i | 0.00391468 | − | 0.0259722i | ||||
\(761\) | −1.45070 | − | 19.3582i | −0.0525878 | − | 0.701735i | −0.959732 | − | 0.280916i | \(-0.909362\pi\) |
0.907145 | − | 0.420819i | \(-0.138257\pi\) | |||||||
\(762\) | −0.804554 | + | 0.315764i | −0.0291459 | + | 0.0114389i | ||||
\(763\) | 4.03966 | − | 17.6989i | 0.146246 | − | 0.640744i | ||||
\(764\) | −0.335020 | + | 4.47052i | −0.0121206 | + | 0.161738i | ||||
\(765\) | −13.4402 | + | 6.82603i | −0.485931 | + | 0.246796i | ||||
\(766\) | 23.1787 | + | 11.1623i | 0.837481 | + | 0.403310i | ||||
\(767\) | −2.10496 | − | 3.64590i | −0.0760057 | − | 0.131646i | ||||
\(768\) | 36.9476 | + | 21.3317i | 1.33323 | + | 0.769741i | ||||
\(769\) | −9.55344 | + | 6.51342i | −0.344506 | + | 0.234880i | −0.723195 | − | 0.690644i | \(-0.757327\pi\) |
0.378689 | + | 0.925524i | \(0.376375\pi\) | |||||||
\(770\) | 63.3217 | − | 14.4528i | 2.28196 | − | 0.520842i | ||||
\(771\) | 2.77477 | + | 18.4094i | 0.0999311 | + | 0.662999i | ||||
\(772\) | −16.7559 | − | 13.3624i | −0.603057 | − | 0.480922i | ||||
\(773\) | 7.50070 | 0.269782 | 0.134891 | − | 0.990860i | \(-0.456932\pi\) | ||||
0.134891 | + | 0.990860i | \(0.456932\pi\) | |||||||
\(774\) | −12.2725 | − | 10.0465i | −0.441126 | − | 0.361114i | ||||
\(775\) | 12.4741i | 0.448082i | ||||||||
\(776\) | −12.2349 | − | 9.75701i | −0.439207 | − | 0.350256i | ||||
\(777\) | 8.60766 | + | 57.1081i | 0.308798 | + | 2.04874i | ||||
\(778\) | 3.12597 | + | 13.6958i | 0.112071 | + | 0.491016i | ||||
\(779\) | 1.00028 | + | 1.46714i | 0.0358387 | + | 0.0525657i | ||||
\(780\) | −1.09467 | + | 1.89602i | −0.0391953 | + | 0.0678883i | ||||
\(781\) | 28.5249 | + | 49.4066i | 1.02070 | + | 1.76791i | ||||
\(782\) | −3.83678 | − | 1.09525i | −0.137203 | − | 0.0391660i | ||||
\(783\) | −31.2835 | + | 9.64969i | −1.11798 | + | 0.344852i | ||||
\(784\) | 0.154544 | − | 2.06224i | 0.00551941 | − | 0.0736515i | ||||
\(785\) | 36.1719 | + | 8.25601i | 1.29103 | + | 0.294670i | ||||
\(786\) | 17.9575 | + | 45.7549i | 0.640522 | + | 1.63202i | ||||
\(787\) | −41.3241 | + | 3.09681i | −1.47305 | + | 0.110390i | −0.786903 | − | 0.617077i | \(-0.788317\pi\) |
−0.686143 | + | 0.727467i | \(0.740698\pi\) | |||||||
\(788\) | −2.96298 | + | 19.6581i | −0.105552 | + | 0.700290i | ||||
\(789\) | −2.33050 | − | 2.51168i | −0.0829681 | − | 0.0894183i | ||||
\(790\) | 1.57444 | − | 0.758210i | 0.0560160 | − | 0.0269759i | ||||
\(791\) | 35.0937 | + | 23.9265i | 1.24779 | + | 0.850727i | ||||
\(792\) | 9.04539 | + | 3.55005i | 0.321414 | + | 0.126146i | ||||
\(793\) | 0.941199 | − | 3.05129i | 0.0334229 | − | 0.108355i | ||||
\(794\) | 27.2258 | − | 29.3425i | 0.966208 | − | 1.04132i | ||||
\(795\) | −40.4010 | − | 50.6612i | −1.43288 | − | 1.79677i | ||||
\(796\) | −13.0316 | + | 10.3924i | −0.461894 | + | 0.368348i | ||||
\(797\) | 16.5974 | + | 15.4001i | 0.587910 | + | 0.545501i | 0.917046 | − | 0.398782i | \(-0.130567\pi\) |
−0.329136 | + | 0.944283i | \(0.606757\pi\) | |||||||
\(798\) | 1.79458 | + | 0.553555i | 0.0635275 | + | 0.0195956i | ||||
\(799\) | −36.8938 | − | 7.60422i | −1.30521 | − | 0.269018i | ||||
\(800\) | −11.2612 | − | 7.67779i | −0.398145 | − | 0.271451i | ||||
\(801\) | −7.78881 | + | 3.75089i | −0.275204 | + | 0.132531i | ||||
\(802\) | −9.50548 | − | 10.2445i | −0.335650 | − | 0.361745i | ||||
\(803\) | −51.0509 | − | 7.69469i | −1.80155 | − | 0.271540i | ||||
\(804\) | −35.8466 | + | 2.68633i | −1.26421 | + | 0.0947395i | ||||
\(805\) | −3.70836 | + | 1.45542i | −0.130702 | + | 0.0512969i | ||||
\(806\) | 3.10929 | + | 0.709675i | 0.109520 | + | 0.0249972i | ||||
\(807\) | −0.881867 | + | 11.7677i | −0.0310432 | + | 0.414242i | ||||
\(808\) | 16.1803 | − | 4.99097i | 0.569222 | − | 0.175582i | ||||
\(809\) | 11.2196 | − | 23.2977i | 0.394459 | − | 0.819103i | −0.605274 | − | 0.796017i | \(-0.706937\pi\) |
0.999733 | − | 0.0230860i | \(-0.00734914\pi\) | |||||||
\(810\) | −46.8646 | + | 27.0573i | −1.64665 | + | 0.950696i | ||||
\(811\) | −38.3877 | − | 22.1632i | −1.34797 | − | 0.778254i | −0.360012 | − | 0.932948i | \(-0.617227\pi\) |
−0.987962 | + | 0.154694i | \(0.950561\pi\) | |||||||
\(812\) | 25.4912 | − | 17.3796i | 0.894564 | − | 0.609904i | ||||
\(813\) | −6.95397 | + | 1.58720i | −0.243886 | + | 0.0556654i | ||||
\(814\) | −88.7964 | + | 13.3839i | −3.11231 | + | 0.469106i | ||||
\(815\) | 28.5978 | − | 35.8605i | 1.00174 | − | 1.25614i | ||||
\(816\) | −42.0940 | + | 7.25754i | −1.47358 | + | 0.254065i | ||||
\(817\) | −0.696437 | + | 0.993924i | −0.0243652 | + | 0.0347730i | ||||
\(818\) | 64.2527 | 2.24654 | ||||||||
\(819\) | 0.943556 | + | 0.752461i | 0.0329705 | + | 0.0262931i | ||||
\(820\) | 30.4244 | − | 4.58575i | 1.06247 | − | 0.160141i | ||||
\(821\) | 31.9155 | − | 7.28451i | 1.11386 | − | 0.254231i | 0.374291 | − | 0.927311i | \(-0.377886\pi\) |
0.739570 | + | 0.673080i | \(0.235029\pi\) | |||||||
\(822\) | 10.9981 | + | 16.1312i | 0.383603 | + | 0.562642i | ||||
\(823\) | −8.45096 | − | 4.87916i | −0.294582 | − | 0.170077i | 0.345424 | − | 0.938447i | \(-0.387735\pi\) |
−0.640006 | + | 0.768370i | \(0.721068\pi\) | |||||||
\(824\) | 3.14496 | + | 5.44724i | 0.109560 | + | 0.189763i | ||||
\(825\) | −21.2581 | − | 10.2373i | −0.740111 | − | 0.356418i | ||||
\(826\) | 18.4441 | + | 59.7944i | 0.641753 | + | 2.08051i | ||||
\(827\) | −12.6718 | − | 0.949624i | −0.440643 | − | 0.0330217i | −0.147438 | − | 0.989071i | \(-0.547103\pi\) |
−0.293205 | + | 0.956050i | \(0.594722\pi\) | |||||||
\(828\) | 0.850432 | + | 0.194106i | 0.0295546 | + | 0.00674563i | ||||
\(829\) | −9.69960 | − | 24.7142i | −0.336881 | − | 0.858359i | −0.994474 | − | 0.104985i | \(-0.966520\pi\) |
0.657593 | − | 0.753374i | \(-0.271575\pi\) | |||||||
\(830\) | −21.1820 | + | 1.58737i | −0.735239 | + | 0.0550985i | ||||
\(831\) | −22.4968 | − | 3.39085i | −0.780406 | − | 0.117627i | ||||
\(832\) | −0.173232 | + | 0.160736i | −0.00600575 | + | 0.00557253i | ||||
\(833\) | 0.997275 | + | 1.39830i | 0.0345535 | + | 0.0484483i | ||||
\(834\) | −12.6853 | − | 8.64867i | −0.439255 | − | 0.299479i | ||||
\(835\) | 3.19167 | − | 8.13225i | 0.110452 | − | 0.281428i | ||||
\(836\) | −0.320772 | + | 1.03992i | −0.0110941 | + | 0.0359663i | ||||
\(837\) | 13.7421 | + | 12.7508i | 0.474996 | + | 0.440732i | ||||
\(838\) | 34.5468 | − | 27.5501i | 1.19340 | − | 0.951703i | ||||
\(839\) | −2.36705 | + | 1.88766i | −0.0817198 | + | 0.0651693i | −0.663498 | − | 0.748178i | \(-0.730929\pi\) |
0.581778 | + | 0.813348i | \(0.302357\pi\) | |||||||
\(840\) | −15.1228 | + | 16.2985i | −0.521787 | + | 0.562353i | ||||
\(841\) | −59.1578 | − | 18.2478i | −2.03992 | − | 0.629233i | ||||
\(842\) | 14.4468 | − | 36.8099i | 0.497871 | − | 1.26855i | ||||
\(843\) | 5.85741 | − | 8.59124i | 0.201740 | − | 0.295898i | ||||
\(844\) | −9.43793 | − | 19.5981i | −0.324867 | − | 0.674593i | ||||
\(845\) | −23.6690 | − | 25.5091i | −0.814238 | − | 0.877540i | ||||
\(846\) | 21.8504 | + | 3.29342i | 0.751233 | + | 0.113230i | ||||
\(847\) | 36.6369 | − | 2.74556i | 1.25886 | − | 0.0943385i | ||||
\(848\) | −20.8672 | − | 53.1687i | −0.716582 | − | 1.82582i | ||||
\(849\) | 8.30695 | − | 36.3951i | 0.285094 | − | 1.24908i | ||||
\(850\) | 16.7430 | − | 1.61118i | 0.574282 | − | 0.0552630i | ||||
\(851\) | 5.26317 | − | 1.62347i | 0.180419 | − | 0.0556519i | ||||
\(852\) | 25.7524 | + | 12.4017i | 0.882263 | + | 0.424876i | ||||
\(853\) | −34.0986 | + | 19.6869i | −1.16752 | + | 0.674065i | −0.953094 | − | 0.302676i | \(-0.902120\pi\) |
−0.214422 | + | 0.976741i | \(0.568787\pi\) | |||||||
\(854\) | −23.7308 | + | 41.1030i | −0.812052 | + | 1.40651i | ||||
\(855\) | −0.381172 | − | 0.559076i | −0.0130358 | − | 0.0191200i | ||||
\(856\) | −0.477042 | + | 0.108882i | −0.0163050 | + | 0.00372150i | ||||
\(857\) | −5.91279 | − | 39.2288i | −0.201977 | − | 1.34003i | −0.828220 | − | 0.560403i | \(-0.810646\pi\) |
0.626243 | − | 0.779628i | \(-0.284592\pi\) | |||||||
\(858\) | −3.76118 | + | 4.71637i | −0.128404 | + | 0.161014i | ||||
\(859\) | −31.7373 | −1.08286 | −0.541432 | − | 0.840745i | \(-0.682118\pi\) | ||||
−0.541432 | + | 0.840745i | \(0.682118\pi\) | |||||||
\(860\) | 10.2808 | + | 18.3449i | 0.350571 | + | 0.625555i | ||||
\(861\) | − | 54.5237i | − | 1.85816i | ||||||
\(862\) | 19.7871 | + | 15.7797i | 0.673952 | + | 0.537459i | ||||
\(863\) | 26.3260 | − | 3.96800i | 0.896147 | − | 0.135072i | 0.315211 | − | 0.949022i | \(-0.397925\pi\) |
0.580936 | + | 0.813949i | \(0.302687\pi\) | |||||||
\(864\) | −19.9693 | + | 4.55787i | −0.679370 | + | 0.155062i | ||||
\(865\) | −20.4279 | + | 13.9275i | −0.694570 | + | 0.473550i | ||||
\(866\) | 6.77490 | − | 11.7345i | 0.230220 | − | 0.398753i | ||||
\(867\) | 23.0087 | − | 27.0014i | 0.781415 | − | 0.917015i | ||||
\(868\) | −15.9169 | − | 7.66520i | −0.540256 | − | 0.260174i | ||||
\(869\) | 1.71475 | − | 0.528931i | 0.0581690 | − | 0.0179428i | ||||
\(870\) | −95.6175 | − | 7.16554i | −3.24174 | − | 0.242935i | ||||
\(871\) | −1.05543 | + | 4.62414i | −0.0357619 | + | 0.156683i | ||||
\(872\) | −8.99490 | + | 3.53024i | −0.304606 | + | 0.119549i | ||||
\(873\) | −14.5829 | + | 1.09283i | −0.493555 | + | 0.0369868i | ||||
\(874\) | 0.0266942 | − | 0.177104i | 0.000902944 | − | 0.00599064i | ||||
\(875\) | −14.6303 | + | 13.5749i | −0.494593 | + | 0.458915i | ||||
\(876\) | −23.3048 | + | 11.2230i | −0.787396 | + | 0.379190i | ||||
\(877\) | −3.73785 | + | 5.48242i | −0.126218 | + | 0.185128i | −0.884147 | − | 0.467210i | \(-0.845259\pi\) |
0.757928 | + | 0.652338i | \(0.226212\pi\) | |||||||
\(878\) | 3.58600 | + | 1.40740i | 0.121022 | + | 0.0474975i | ||||
\(879\) | 9.73409 | − | 31.5572i | 0.328323 | − | 1.06440i | ||||
\(880\) | −48.6100 | − | 45.1035i | −1.63864 | − | 1.52044i | ||||
\(881\) | −40.0116 | + | 31.9082i | −1.34803 | + | 1.07501i | −0.358061 | + | 0.933698i | \(0.616562\pi\) |
−0.989965 | + | 0.141316i | \(0.954867\pi\) | |||||||
\(882\) | −0.628169 | − | 0.787699i | −0.0211516 | − | 0.0265232i | ||||
\(883\) | 20.0037 | + | 18.5607i | 0.673177 | + | 0.624617i | 0.940822 | − | 0.338901i | \(-0.110055\pi\) |
−0.267645 | + | 0.963518i | \(0.586245\pi\) | |||||||
\(884\) | 0.205327 | − | 1.58950i | 0.00690588 | − | 0.0534608i | ||||
\(885\) | 26.4791 | − | 67.4677i | 0.890085 | − | 2.26790i | ||||
\(886\) | 48.9941 | + | 33.4036i | 1.64599 | + | 1.12222i | ||||
\(887\) | 17.3704 | + | 36.0700i | 0.583241 | + | 1.21111i | 0.958739 | + | 0.284289i | \(0.0917576\pi\) |
−0.375497 | + | 0.926823i | \(0.622528\pi\) | |||||||
\(888\) | 22.5342 | − | 20.9087i | 0.756197 | − | 0.701649i | ||||
\(889\) | 0.0941522 | − | 0.624659i | 0.00315776 | − | 0.0209504i | ||||
\(890\) | 30.6705 | − | 2.29843i | 1.02808 | − | 0.0770437i | ||||
\(891\) | −51.7281 | + | 20.3018i | −1.73296 | + | 0.680135i | ||||
\(892\) | −5.46062 | + | 23.9245i | −0.182835 | + | 0.801053i | ||||
\(893\) | 0.126361 | − | 1.68617i | 0.00422850 | − | 0.0564254i | ||||
\(894\) | 4.78269 | + | 15.5051i | 0.159957 | + | 0.518568i | ||||
\(895\) | −17.0030 | + | 35.3072i | −0.568349 | + | 1.18019i | ||||
\(896\) | −25.0967 | + | 14.4896i | −0.838421 | + | 0.484062i | ||||
\(897\) | 0.185001 | − | 0.320431i | 0.00617701 | − | 0.0106989i | ||||
\(898\) | 27.0256 | + | 39.6392i | 0.901855 | + | 1.32278i | ||||
\(899\) | 11.5835 | + | 50.7506i | 0.386331 | + | 1.69263i | ||||
\(900\) | −3.63620 | + | 0.548069i | −0.121207 | + | 0.0182690i | ||||
\(901\) | 41.5727 | + | 22.8445i | 1.38499 | + | 0.761059i | ||||
\(902\) | 84.7780 | 2.82280 | ||||||||
\(903\) | 34.8609 | − | 13.1698i | 1.16010 | − | 0.438262i | ||||
\(904\) | − | 22.6076i | − | 0.751918i | ||||||
\(905\) | −43.9598 | + | 55.1239i | −1.46127 | + | 1.83238i | ||||
\(906\) | −11.6465 | − | 77.2692i | −0.386928 | − | 2.56710i | ||||
\(907\) | −27.0651 | + | 6.17743i | −0.898681 | + | 0.205118i | −0.646818 | − | 0.762645i | \(-0.723900\pi\) |
−0.251863 | + | 0.967763i | \(0.581043\pi\) | |||||||
\(908\) | −5.58663 | − | 8.19408i | −0.185399 | − | 0.271930i | ||||
\(909\) | 7.91162 | − | 13.7033i | 0.262412 | − | 0.454511i | ||||
\(910\) | −2.14684 | − | 3.71843i | −0.0711670 | − | 0.123265i | ||||
\(911\) | −2.09579 | + | 4.35195i | −0.0694366 | + | 0.144187i | −0.932798 | − | 0.360399i | \(-0.882640\pi\) |
0.863362 | + | 0.504586i | \(0.168355\pi\) | |||||||
\(912\) | −0.565160 | − | 1.83220i | −0.0187143 | − | 0.0606703i | ||||
\(913\) | −21.7515 | − | 1.63005i | −0.719869 | − | 0.0539467i | ||||
\(914\) | −2.63941 | + | 11.5640i | −0.0873040 | + | 0.382504i | ||||
\(915\) | 51.1731 | − | 20.0840i | 1.69173 | − | 0.663955i | ||||
\(916\) | −1.33076 | − | 17.7578i | −0.0439697 | − | 0.586734i | ||||
\(917\) | −35.5243 | − | 5.35443i | −1.17312 | − | 0.176819i | ||||
\(918\) | 15.3395 | − | 20.0920i | 0.506280 | − | 0.663133i | ||||
\(919\) | −12.3981 | + | 5.97060i | −0.408975 | + | 0.196952i | −0.627048 | − | 0.778981i | \(-0.715737\pi\) |
0.218073 | + | 0.975932i | \(0.430023\pi\) | |||||||
\(920\) | 1.75197 | + | 1.19447i | 0.0577608 | + | 0.0393807i | ||||
\(921\) | −11.8406 | − | 4.64708i | −0.390160 | − | 0.153126i | ||||
\(922\) | 9.21203 | + | 2.84154i | 0.303382 | + | 0.0935810i | ||||
\(923\) | 2.56521 | − | 2.76464i | 0.0844348 | − | 0.0909991i | ||||
\(924\) | 26.1258 | − | 20.8346i | 0.859475 | − | 0.685408i | ||||
\(925\) | −18.1533 | + | 14.4768i | −0.596876 | + | 0.475993i | ||||
\(926\) | 13.0533 | + | 12.1117i | 0.428959 | + | 0.398016i | ||||
\(927\) | 5.61670 | + | 1.73252i | 0.184477 | + | 0.0569035i | ||||
\(928\) | −52.9460 | − | 20.7798i | −1.73804 | − | 0.682129i | ||||
\(929\) | 25.5754 | − | 37.5122i | 0.839101 | − | 1.23074i | −0.131805 | − | 0.991276i | \(-0.542077\pi\) |
0.970906 | − | 0.239460i | \(-0.0769703\pi\) | |||||||
\(930\) | 23.8228 | + | 49.4685i | 0.781180 | + | 1.62214i | ||||
\(931\) | −0.0565146 | + | 0.0524379i | −0.00185219 | + | 0.00171858i | ||||
\(932\) | −2.65211 | + | 17.5956i | −0.0868727 | + | 0.576363i | ||||
\(933\) | 0.495966 | + | 6.61820i | 0.0162372 | + | 0.216670i | ||||
\(934\) | −18.8434 | − | 48.0122i | −0.616575 | − | 1.57101i | ||||
\(935\) | 54.9929 | + | 2.95404i | 1.79846 | + | 0.0966076i | ||||
\(936\) | 0.0480044 | − | 0.640574i | 0.00156907 | − | 0.0209378i | ||||
\(937\) | 2.30685 | − | 0.711568i | 0.0753614 | − | 0.0232459i | −0.256845 | − | 0.966453i | \(-0.582683\pi\) |
0.332207 | + | 0.943207i | \(0.392207\pi\) | |||||||
\(938\) | 30.5883 | − | 63.5172i | 0.998742 | − | 2.07391i | ||||
\(939\) | 14.8876 | + | 25.7861i | 0.485840 | + | 0.841499i | ||||
\(940\) | −25.3736 | − | 14.6495i | −0.827596 | − | 0.477813i | ||||
\(941\) | 31.5126 | + | 46.2205i | 1.02728 | + | 1.50675i | 0.852905 | + | 0.522066i | \(0.174839\pi\) |
0.174376 | + | 0.984679i | \(0.444209\pi\) | |||||||
\(942\) | 49.9354 | − | 11.3974i | 1.62698 | − | 0.371348i | ||||
\(943\) | −5.14180 | + | 0.775002i | −0.167440 | + | 0.0252375i | ||||
\(944\) | 39.8324 | − | 49.9483i | 1.29644 | − | 1.62568i | ||||
\(945\) | − | 25.2382i | − | 0.821000i | ||||||
\(946\) | 20.4774 | + | 54.2046i | 0.665779 | + | 1.76234i | ||||
\(947\) | − | 3.49696i | − | 0.113636i | −0.998385 | − | 0.0568179i | \(-0.981905\pi\) | ||
0.998385 | − | 0.0568179i | \(-0.0180955\pi\) | |||||||
\(948\) | 0.560558 | − | 0.702918i | 0.0182061 | − | 0.0228297i | ||||
\(949\) | 0.508675 | + | 3.37484i | 0.0165123 | + | 0.109552i | ||||
\(950\) | 0.168010 | + | 0.736102i | 0.00545098 | + | 0.0238823i | ||||
\(951\) | −14.4846 | + | 9.87541i | −0.469694 | + | 0.320232i | ||||
\(952\) | 5.62491 | − | 15.2735i | 0.182304 | − | 0.495018i | ||||
\(953\) | −5.34726 | − | 9.26172i | −0.173215 | − | 0.300017i | 0.766327 | − | 0.642450i | \(-0.222082\pi\) |
−0.939542 | + | 0.342434i | \(0.888749\pi\) | |||||||
\(954\) | −25.0707 | − | 12.0734i | −0.811695 | − | 0.390892i | ||||
\(955\) | 3.00167 | + | 9.73116i | 0.0971316 | + | 0.314893i | ||||
\(956\) | 1.92767 | − | 25.7230i | 0.0623453 | − | 0.831940i | ||||
\(957\) | −95.9947 | − | 21.9102i | −3.10307 | − | 0.708255i | ||||
\(958\) | −7.13214 | + | 2.79916i | −0.230429 | + | 0.0904368i | ||||
\(959\) | −14.2299 | + | 1.06639i | −0.459509 | + | 0.0344354i | ||||
\(960\) | −4.02298 | − | 0.606366i | −0.129841 | − | 0.0195704i | ||||
\(961\) | −0.873689 | + | 0.810665i | −0.0281835 | + | 0.0261505i | ||||
\(962\) | 2.57570 | + | 5.34850i | 0.0830440 | + | 0.172443i | ||||
\(963\) | −0.257579 | + | 0.377800i | −0.00830038 | + | 0.0121744i | ||||
\(964\) | −1.83285 | − | 0.719341i | −0.0590322 | − | 0.0231684i | ||||
\(965\) | −46.5205 | − | 14.3497i | −1.49755 | − | 0.461932i | ||||
\(966\) | −3.74064 | + | 4.03146i | −0.120353 | + | 0.129710i | ||||
\(967\) | −2.78270 | − | 3.48939i | −0.0894855 | − | 0.112211i | 0.735073 | − | 0.677988i | \(-0.237148\pi\) |
−0.824559 | + | 0.565777i | \(0.808576\pi\) | |||||||
\(968\) | −12.1926 | − | 15.2890i | −0.391884 | − | 0.491407i | ||||
\(969\) | 1.33436 | + | 0.869024i | 0.0428659 | + | 0.0279171i | ||||
\(970\) | 49.7162 | + | 15.3354i | 1.59629 | + | 0.492390i | ||||
\(971\) | 4.60391 | − | 11.7306i | 0.147746 | − | 0.376452i | −0.837772 | − | 0.546020i | \(-0.816142\pi\) |
0.985518 | + | 0.169568i | \(0.0542374\pi\) | |||||||
\(972\) | −8.78898 | + | 12.8911i | −0.281907 | + | 0.413481i | ||||
\(973\) | 10.1102 | − | 4.86882i | 0.324119 | − | 0.156087i | ||||
\(974\) | 26.7163 | + | 28.7934i | 0.856047 | + | 0.922599i | ||||
\(975\) | −0.232473 | + | 1.54236i | −0.00744509 | + | 0.0493950i | ||||
\(976\) | 48.3212 | − | 3.62117i | 1.54672 | − | 0.115911i | ||||
\(977\) | −17.3533 | − | 44.2156i | −0.555183 | − | 1.41458i | −0.882790 | − | 0.469768i | \(-0.844337\pi\) |
0.327607 | − | 0.944814i | \(-0.393758\pi\) | |||||||
\(978\) | 14.0900 | − | 61.7323i | 0.450548 | − | 1.97398i | ||||
\(979\) | 31.4950 | + | 2.36023i | 1.00659 | + | 0.0754331i | ||||
\(980\) | 0.393752 | + | 1.27651i | 0.0125779 | + | 0.0407767i | ||||
\(981\) | −3.91787 | + | 8.13555i | −0.125088 | + | 0.259748i | ||||
\(982\) | 22.1020 | + | 38.2818i | 0.705303 | + | 1.22162i | ||||
\(983\) | 40.4778 | + | 23.3699i | 1.29104 | + | 0.745384i | 0.978839 | − | 0.204632i | \(-0.0655997\pi\) |
0.312203 | + | 0.950015i | \(0.398933\pi\) | |||||||
\(984\) | −23.9785 | + | 16.3483i | −0.764407 | + | 0.521164i | ||||
\(985\) | 10.0489 | + | 44.0269i | 0.320183 | + | 1.40281i | ||||
\(986\) | 66.6228 | − | 22.1028i | 2.12170 | − | 0.703896i | ||||
\(987\) | −32.3718 | + | 40.5929i | −1.03040 | + | 1.29209i | ||||
\(988\) | 0.0719424 | 0.00228879 | ||||||||
\(989\) | −1.73747 | − | 3.10033i | −0.0552485 | − | 0.0985846i | ||||
\(990\) | −32.3060 | −1.02675 | ||||||||
\(991\) | 16.7431 | + | 13.3522i | 0.531862 | + | 0.424146i | 0.852245 | − | 0.523142i | \(-0.175240\pi\) |
−0.320384 | + | 0.947288i | \(0.603812\pi\) | |||||||
\(992\) | 4.85420 | + | 32.2055i | 0.154121 | + | 1.02253i | ||||
\(993\) | 0.0312358 | − | 0.00712936i | 0.000991238 | − | 0.000226244i | ||||
\(994\) | −46.3161 | + | 31.5778i | −1.46906 | + | 1.00159i | ||||
\(995\) | −18.9314 | + | 32.7901i | −0.600165 | + | 1.03952i | ||||
\(996\) | −9.46432 | + | 5.46423i | −0.299889 | + | 0.173141i | ||||
\(997\) | 7.02898 | − | 14.5958i | 0.222610 | − | 0.462254i | −0.759514 | − | 0.650491i | \(-0.774563\pi\) |
0.982124 | + | 0.188237i | \(0.0602773\pi\) | |||||||
\(998\) | −1.56959 | − | 5.08847i | −0.0496844 | − | 0.161073i | ||||
\(999\) | −2.60764 | + | 34.7965i | −0.0825021 | + | 1.10091i |
(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 | 731.2.z.a.67.16 | yes | 768 | |
17.16 | even | 2 | inner | 731.2.z.a.67.15 | ✓ | 768 | |
43.9 | even | 21 | inner | 731.2.z.a.611.15 | yes | 768 | |
731.611 | even | 42 | inner | 731.2.z.a.611.16 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.z.a.67.15 | ✓ | 768 | 17.16 | even | 2 | inner | |
731.2.z.a.67.16 | yes | 768 | 1.1 | even | 1 | trivial | |
731.2.z.a.611.15 | yes | 768 | 43.9 | even | 21 | inner | |
731.2.z.a.611.16 | yes | 768 | 731.611 | even | 42 | inner |