Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(20,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bh (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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 104.48 | ||
Character | \(\chi\) | \(=\) | 441.104 |
Dual form | 441.2.bh.a.335.48 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.348745 | − | 2.31377i | 0.246600 | − | 1.63608i | −0.432213 | − | 0.901771i | \(-0.642267\pi\) |
0.678813 | − | 0.734311i | \(-0.262495\pi\) | |||||||
\(3\) | −1.20616 | − | 1.24305i | −0.696376 | − | 0.717677i | ||||
\(4\) | −3.32076 | − | 1.02432i | −1.66038 | − | 0.512160i | ||||
\(5\) | −2.39927 | + | 1.63579i | −1.07299 | + | 0.731549i | −0.964907 | − | 0.262593i | \(-0.915422\pi\) |
−0.108079 | + | 0.994142i | \(0.534470\pi\) | |||||||
\(6\) | −3.29678 | + | 2.35726i | −1.34591 | + | 0.962349i | ||||
\(7\) | 1.38573 | − | 2.25383i | 0.523757 | − | 0.851868i | ||||
\(8\) | −1.49765 | + | 3.10990i | −0.529498 | + | 1.09951i | ||||
\(9\) | −0.0903644 | + | 2.99864i | −0.0301215 | + | 0.999546i | ||||
\(10\) | 2.94812 | + | 6.12183i | 0.932277 | + | 1.93589i | ||||
\(11\) | −0.509755 | + | 3.38201i | −0.153697 | + | 1.01971i | 0.770402 | + | 0.637559i | \(0.220056\pi\) |
−0.924099 | + | 0.382154i | \(0.875182\pi\) | |||||||
\(12\) | 2.73208 | + | 5.36338i | 0.788684 | + | 1.54827i | ||||
\(13\) | −4.98389 | + | 1.95603i | −1.38228 | + | 0.542506i | −0.935878 | − | 0.352324i | \(-0.885391\pi\) |
−0.446406 | + | 0.894831i | \(0.647296\pi\) | |||||||
\(14\) | −4.73158 | − | 3.99227i | −1.26457 | − | 1.06698i | ||||
\(15\) | 4.92728 | + | 1.00939i | 1.27222 | + | 0.260624i | ||||
\(16\) | 0.930670 | + | 0.634520i | 0.232668 | + | 0.158630i | ||||
\(17\) | −0.598618 | + | 2.62272i | −0.145186 | + | 0.636103i | 0.848997 | + | 0.528398i | \(0.177207\pi\) |
−0.994183 | + | 0.107705i | \(0.965650\pi\) | |||||||
\(18\) | 6.90665 | + | 1.25484i | 1.62791 | + | 0.295769i | ||||
\(19\) | − | 3.20566i | − | 0.735430i | −0.929939 | − | 0.367715i | \(-0.880140\pi\) | ||
0.929939 | − | 0.367715i | \(-0.119860\pi\) | |||||||
\(20\) | 9.64298 | − | 2.97447i | 2.15624 | − | 0.665111i | ||||
\(21\) | −4.47304 | + | 0.995941i | −0.976098 | + | 0.217332i | ||||
\(22\) | 7.64741 | + | 2.35891i | 1.63043 | + | 0.502922i | ||||
\(23\) | 2.47785 | − | 8.03299i | 0.516667 | − | 1.67499i | −0.201794 | − | 0.979428i | \(-0.564677\pi\) |
0.718461 | − | 0.695567i | \(-0.244847\pi\) | |||||||
\(24\) | 5.67217 | − | 1.88937i | 1.15783 | − | 0.385666i | ||||
\(25\) | 1.25396 | − | 3.19505i | 0.250793 | − | 0.639010i | ||||
\(26\) | 2.78771 | + | 12.2137i | 0.546714 | + | 2.39531i | ||||
\(27\) | 3.83646 | − | 3.50451i | 0.738328 | − | 0.674442i | ||||
\(28\) | −6.91032 | + | 6.06501i | −1.30593 | + | 1.14618i | ||||
\(29\) | 2.60958 | + | 8.46004i | 0.484586 | + | 1.57099i | 0.786459 | + | 0.617643i | \(0.211912\pi\) |
−0.301872 | + | 0.953348i | \(0.597612\pi\) | |||||||
\(30\) | 4.05387 | − | 11.0486i | 0.740131 | − | 2.01718i | ||||
\(31\) | −4.22906 | − | 2.44165i | −0.759561 | − | 0.438533i | 0.0695768 | − | 0.997577i | \(-0.477835\pi\) |
−0.829138 | + | 0.559044i | \(0.811168\pi\) | |||||||
\(32\) | −2.90284 | + | 3.12851i | −0.513154 | + | 0.553048i | ||||
\(33\) | 4.81886 | − | 3.44558i | 0.838856 | − | 0.599799i | ||||
\(34\) | 5.85960 | + | 2.29972i | 1.00491 | + | 0.394400i | ||||
\(35\) | 0.362065 | + | 7.67431i | 0.0612001 | + | 1.29720i | ||||
\(36\) | 3.37164 | − | 9.86521i | 0.561941 | − | 1.64420i | ||||
\(37\) | −0.00925870 | + | 0.0405650i | −0.00152212 | + | 0.00666885i | −0.975683 | − | 0.219185i | \(-0.929660\pi\) |
0.974161 | + | 0.225854i | \(0.0725172\pi\) | |||||||
\(38\) | −7.41717 | − | 1.11796i | −1.20322 | − | 0.181357i | ||||
\(39\) | 8.44282 | + | 3.83596i | 1.35193 | + | 0.614245i | ||||
\(40\) | −1.49389 | − | 9.91132i | −0.236205 | − | 1.56712i | ||||
\(41\) | −7.78707 | + | 5.30913i | −1.21614 | + | 0.829147i | −0.989458 | − | 0.144822i | \(-0.953739\pi\) |
−0.226678 | + | 0.973970i | \(0.572787\pi\) | |||||||
\(42\) | 0.744428 | + | 10.6969i | 0.114868 | + | 1.65057i | ||||
\(43\) | −4.23577 | − | 2.88790i | −0.645949 | − | 0.440400i | 0.195525 | − | 0.980699i | \(-0.437359\pi\) |
−0.841473 | + | 0.540298i | \(0.818311\pi\) | |||||||
\(44\) | 5.15703 | − | 10.7087i | 0.777452 | − | 1.61440i | ||||
\(45\) | −4.68835 | − | 7.34236i | −0.698897 | − | 1.09453i | ||||
\(46\) | −17.7224 | − | 8.53464i | −2.61302 | − | 1.25836i | ||||
\(47\) | −4.42954 | − | 0.667646i | −0.646115 | − | 0.0973862i | −0.182194 | − | 0.983263i | \(-0.558320\pi\) |
−0.463921 | + | 0.885876i | \(0.653558\pi\) | |||||||
\(48\) | −0.333793 | − | 1.92220i | −0.0481789 | − | 0.277446i | ||||
\(49\) | −3.15951 | − | 6.24640i | −0.451358 | − | 0.892343i | ||||
\(50\) | −6.95530 | − | 4.01564i | −0.983628 | − | 0.567898i | ||||
\(51\) | 3.98221 | − | 2.41930i | 0.557621 | − | 0.338770i | ||||
\(52\) | 18.5539 | − | 1.39043i | 2.57297 | − | 0.192817i | ||||
\(53\) | −0.267296 | + | 0.0610085i | −0.0367159 | + | 0.00838017i | −0.240839 | − | 0.970565i | \(-0.577423\pi\) |
0.204124 | + | 0.978945i | \(0.434566\pi\) | |||||||
\(54\) | −6.77067 | − | 10.0989i | −0.921372 | − | 1.37428i | ||||
\(55\) | −4.30922 | − | 8.94820i | −0.581056 | − | 1.20657i | ||||
\(56\) | 4.93384 | + | 7.68492i | 0.659313 | + | 1.02694i | ||||
\(57\) | −3.98481 | + | 3.86654i | −0.527801 | + | 0.512135i | ||||
\(58\) | 20.4847 | − | 3.08757i | 2.68977 | − | 0.405418i | ||||
\(59\) | −0.860802 | + | 11.4866i | −0.112067 | + | 1.49543i | 0.603769 | + | 0.797159i | \(0.293665\pi\) |
−0.715836 | + | 0.698269i | \(0.753954\pi\) | |||||||
\(60\) | −15.3284 | − | 8.39907i | −1.97889 | − | 1.08431i | ||||
\(61\) | 0.295596 | + | 0.958300i | 0.0378472 | + | 0.122698i | 0.972525 | − | 0.232798i | \(-0.0747882\pi\) |
−0.934678 | + | 0.355496i | \(0.884312\pi\) | |||||||
\(62\) | −7.12428 | + | 8.93356i | −0.904784 | + | 1.13456i | ||||
\(63\) | 6.63320 | + | 4.35897i | 0.835705 | + | 0.549178i | ||||
\(64\) | 7.63090 | + | 9.56885i | 0.953863 | + | 1.19611i | ||||
\(65\) | 8.75803 | − | 12.8457i | 1.08630 | − | 1.59331i | ||||
\(66\) | −6.29173 | − | 12.3514i | −0.774459 | − | 1.52035i | ||||
\(67\) | −2.84606 | + | 4.92952i | −0.347701 | + | 0.602236i | −0.985841 | − | 0.167684i | \(-0.946371\pi\) |
0.638139 | + | 0.769921i | \(0.279704\pi\) | |||||||
\(68\) | 4.67437 | − | 8.09625i | 0.566851 | − | 0.981815i | ||||
\(69\) | −12.9741 | + | 6.60896i | −1.56190 | + | 0.795625i | ||||
\(70\) | 17.8829 | + | 1.83864i | 2.13741 | + | 0.219760i | ||||
\(71\) | −10.8006 | + | 2.46517i | −1.28179 | + | 0.292561i | −0.808580 | − | 0.588386i | \(-0.799764\pi\) |
−0.473215 | + | 0.880947i | \(0.656906\pi\) | |||||||
\(72\) | −9.19012 | − | 4.77192i | −1.08307 | − | 0.562377i | ||||
\(73\) | −2.74928 | + | 2.19247i | −0.321778 | + | 0.256610i | −0.771035 | − | 0.636793i | \(-0.780260\pi\) |
0.449256 | + | 0.893403i | \(0.351689\pi\) | |||||||
\(74\) | 0.0906292 | + | 0.0355693i | 0.0105354 | + | 0.00413485i | ||||
\(75\) | −5.48410 | + | 2.29499i | −0.633249 | + | 0.265003i | ||||
\(76\) | −3.28363 | + | 10.6453i | −0.376658 | + | 1.22109i | ||||
\(77\) | 6.91609 | + | 5.83545i | 0.788161 | + | 0.665011i | ||||
\(78\) | 11.8199 | − | 18.1970i | 1.33834 | − | 2.06040i | ||||
\(79\) | −4.95531 | − | 8.58285i | −0.557516 | − | 0.965646i | −0.997703 | − | 0.0677396i | \(-0.978421\pi\) |
0.440187 | − | 0.897906i | \(-0.354912\pi\) | |||||||
\(80\) | −3.27087 | −0.365695 | ||||||||
\(81\) | −8.98367 | − | 0.541940i | −0.998185 | − | 0.0602156i | ||||
\(82\) | 9.56842 | + | 19.8690i | 1.05665 | + | 2.19417i | ||||
\(83\) | 0.178624 | − | 0.455126i | 0.0196065 | − | 0.0499565i | −0.920735 | − | 0.390188i | \(-0.872410\pi\) |
0.940342 | + | 0.340231i | \(0.110505\pi\) | |||||||
\(84\) | 15.8741 | + | 1.27454i | 1.73200 | + | 0.139064i | ||||
\(85\) | −2.85398 | − | 7.27182i | −0.309558 | − | 0.788740i | ||||
\(86\) | −8.15913 | + | 8.79346i | −0.879822 | + | 0.948223i | ||||
\(87\) | 7.36872 | − | 13.4480i | 0.790010 | − | 1.44178i | ||||
\(88\) | −9.75425 | − | 6.65034i | −1.03981 | − | 0.708928i | ||||
\(89\) | −6.98508 | − | 8.75902i | −0.740417 | − | 0.928454i | 0.258881 | − | 0.965909i | \(-0.416646\pi\) |
−0.999298 | + | 0.0374552i | \(0.988075\pi\) | |||||||
\(90\) | −18.6236 | + | 8.28715i | −1.96310 | + | 0.873542i | ||||
\(91\) | −2.49776 | + | 13.9434i | −0.261836 | + | 1.46166i | ||||
\(92\) | −16.4567 | + | 24.1376i | −1.71573 | + | 2.51651i | ||||
\(93\) | 2.06581 | + | 8.20196i | 0.214215 | + | 0.850504i | ||||
\(94\) | −3.08956 | + | 10.0161i | −0.318664 | + | 1.03308i | ||||
\(95\) | 5.24381 | + | 7.69125i | 0.538003 | + | 0.789106i | ||||
\(96\) | 7.39019 | − | 0.165101i | 0.754258 | − | 0.0168506i | ||||
\(97\) | 5.28392 | − | 3.05067i | 0.536501 | − | 0.309749i | −0.207159 | − | 0.978307i | \(-0.566422\pi\) |
0.743660 | + | 0.668559i | \(0.233088\pi\) | |||||||
\(98\) | −15.5546 | + | 5.13197i | −1.57125 | + | 0.518408i | ||||
\(99\) | −10.0954 | − | 1.83419i | −1.01462 | − | 0.184343i | ||||
\(100\) | −7.43687 | + | 9.32555i | −0.743687 | + | 0.932555i | ||||
\(101\) | −0.510408 | − | 6.81093i | −0.0507875 | − | 0.677713i | −0.963259 | − | 0.268573i | \(-0.913448\pi\) |
0.912472 | − | 0.409140i | \(-0.134171\pi\) | |||||||
\(102\) | −4.20893 | − | 10.0576i | −0.416746 | − | 0.995854i | ||||
\(103\) | 4.30063 | + | 6.30786i | 0.423753 | + | 0.621532i | 0.977445 | − | 0.211190i | \(-0.0677338\pi\) |
−0.553692 | + | 0.832722i | \(0.686781\pi\) | |||||||
\(104\) | 1.38105 | − | 18.4288i | 0.135423 | − | 1.80710i | ||||
\(105\) | 9.10288 | − | 9.70650i | 0.888350 | − | 0.947258i | ||||
\(106\) | 0.0479417 | + | 0.639738i | 0.00465651 | + | 0.0621368i | ||||
\(107\) | 10.5374 | − | 8.40326i | 1.01868 | − | 0.812374i | 0.0363182 | − | 0.999340i | \(-0.488437\pi\) |
0.982366 | + | 0.186966i | \(0.0598656\pi\) | |||||||
\(108\) | −16.3297 | + | 7.70787i | −1.57133 | + | 0.741690i | ||||
\(109\) | 3.87839 | − | 4.86335i | 0.371482 | − | 0.465824i | −0.560592 | − | 0.828092i | \(-0.689426\pi\) |
0.932074 | + | 0.362268i | \(0.117998\pi\) | |||||||
\(110\) | −22.2069 | + | 6.84992i | −2.11734 | + | 0.653114i | ||||
\(111\) | 0.0615919 | − | 0.0374188i | 0.00584605 | − | 0.00355163i | ||||
\(112\) | 2.71976 | − | 1.21830i | 0.256993 | − | 0.115119i | ||||
\(113\) | −0.543462 | − | 3.60564i | −0.0511246 | − | 0.339190i | −0.999741 | − | 0.0227610i | \(-0.992754\pi\) |
0.948616 | − | 0.316429i | \(-0.102484\pi\) | |||||||
\(114\) | 7.55660 | + | 10.5684i | 0.707740 | + | 0.989819i | ||||
\(115\) | 7.19529 | + | 23.3266i | 0.670964 | + | 2.17521i | ||||
\(116\) | − | 30.7669i | − | 2.85663i | ||||||
\(117\) | −5.41507 | − | 15.1217i | −0.500624 | − | 1.39800i | ||||
\(118\) | 26.2772 | + | 5.99759i | 2.41901 | + | 0.552123i | ||||
\(119\) | 5.08164 | + | 4.98356i | 0.465833 | + | 0.456843i | ||||
\(120\) | −10.5184 | + | 13.8116i | −0.960197 | + | 1.26082i | ||||
\(121\) | −0.666814 | − | 0.205685i | −0.0606195 | − | 0.0186986i | ||||
\(122\) | 2.32037 | − | 0.349740i | 0.210077 | − | 0.0316640i | ||||
\(123\) | 15.9920 | + | 3.27609i | 1.44195 | + | 0.295395i | ||||
\(124\) | 11.5427 | + | 12.4400i | 1.03656 | + | 1.11715i | ||||
\(125\) | −1.01299 | − | 4.43818i | −0.0906042 | − | 0.396963i | ||||
\(126\) | 12.3989 | − | 13.8275i | 1.10459 | − | 1.23186i | ||||
\(127\) | 4.10799 | − | 17.9983i | 0.364525 | − | 1.59709i | −0.377034 | − | 0.926199i | \(-0.623056\pi\) |
0.741559 | − | 0.670888i | \(-0.234087\pi\) | |||||||
\(128\) | 17.4093 | − | 10.0513i | 1.53878 | − | 0.888416i | ||||
\(129\) | 1.51920 | + | 8.74855i | 0.133758 | + | 0.770267i | ||||
\(130\) | −26.6676 | − | 24.7439i | −2.33891 | − | 2.17019i | ||||
\(131\) | 0.952963 | − | 12.7164i | 0.0832608 | − | 1.11104i | −0.786509 | − | 0.617579i | \(-0.788114\pi\) |
0.869769 | − | 0.493458i | \(-0.164267\pi\) | |||||||
\(132\) | −19.5317 | + | 6.50591i | −1.70001 | + | 0.566267i | ||||
\(133\) | −7.22502 | − | 4.44218i | −0.626489 | − | 0.385186i | ||||
\(134\) | 10.4132 | + | 8.30427i | 0.899565 | + | 0.717379i | ||||
\(135\) | −3.47206 | + | 14.6839i | −0.298827 | + | 1.26379i | ||||
\(136\) | −7.25986 | − | 5.78955i | −0.622528 | − | 0.496450i | ||||
\(137\) | 1.17006 | − | 1.71616i | 0.0999646 | − | 0.146621i | −0.772998 | − | 0.634409i | \(-0.781244\pi\) |
0.872962 | + | 0.487788i | \(0.162196\pi\) | |||||||
\(138\) | 10.7670 | + | 32.3240i | 0.916544 | + | 2.75160i | ||||
\(139\) | 2.48265 | + | 3.64137i | 0.210575 | + | 0.308857i | 0.916966 | − | 0.398965i | \(-0.130630\pi\) |
−0.706391 | + | 0.707822i | \(0.749678\pi\) | |||||||
\(140\) | 6.65862 | − | 25.8555i | 0.562756 | − | 2.18518i | ||||
\(141\) | 4.51281 | + | 6.31144i | 0.380047 | + | 0.531520i | ||||
\(142\) | 1.93718 | + | 25.8498i | 0.162564 | + | 2.16927i | ||||
\(143\) | −4.07475 | − | 17.8527i | −0.340748 | − | 1.49291i | ||||
\(144\) | −1.98680 | + | 2.73341i | −0.165566 | + | 0.227784i | ||||
\(145\) | −20.1000 | − | 16.0292i | −1.66921 | − | 1.33115i | ||||
\(146\) | 4.11409 | + | 7.12581i | 0.340484 | + | 0.589736i | ||||
\(147\) | −3.95374 | + | 11.4616i | −0.326099 | + | 0.945336i | ||||
\(148\) | 0.0722975 | − | 0.125223i | 0.00594282 | − | 0.0102933i | ||||
\(149\) | −6.30264 | + | 2.47360i | −0.516333 | + | 0.202646i | −0.609176 | − | 0.793035i | \(-0.708500\pi\) |
0.0928434 | + | 0.995681i | \(0.470404\pi\) | |||||||
\(150\) | 3.39753 | + | 13.4893i | 0.277407 | + | 1.10140i | ||||
\(151\) | −1.44106 | + | 1.33711i | −0.117272 | + | 0.108813i | −0.736629 | − | 0.676297i | \(-0.763584\pi\) |
0.619357 | + | 0.785109i | \(0.287393\pi\) | |||||||
\(152\) | 9.96928 | + | 4.80095i | 0.808615 | + | 0.389409i | ||||
\(153\) | −7.81049 | − | 2.03204i | −0.631441 | − | 0.164281i | ||||
\(154\) | 15.9138 | − | 13.9672i | 1.28237 | − | 1.12551i | ||||
\(155\) | 14.1407 | − | 1.05970i | 1.13581 | − | 0.0851170i | ||||
\(156\) | −24.1074 | − | 21.3865i | −1.93013 | − | 1.71229i | ||||
\(157\) | −7.22768 | − | 0.541640i | −0.576831 | − | 0.0432275i | −0.216879 | − | 0.976198i | \(-0.569588\pi\) |
−0.359952 | + | 0.932971i | \(0.617207\pi\) | |||||||
\(158\) | −21.5869 | + | 8.47222i | −1.71736 | + | 0.674014i | ||||
\(159\) | 0.398238 | + | 0.258677i | 0.0315823 | + | 0.0205144i | ||||
\(160\) | 1.84708 | − | 12.2546i | 0.146025 | − | 0.968810i | ||||
\(161\) | −14.6714 | − | 16.7162i | −1.15627 | − | 1.31742i | ||||
\(162\) | −4.38693 | + | 20.5971i | −0.344670 | + | 1.61826i | ||||
\(163\) | −15.7968 | + | 7.60734i | −1.23730 | + | 0.595853i | −0.934079 | − | 0.357066i | \(-0.883777\pi\) |
−0.303223 | + | 0.952920i | \(0.598063\pi\) | |||||||
\(164\) | 31.2973 | − | 9.65393i | 2.44391 | − | 0.753845i | ||||
\(165\) | −5.92548 | + | 16.1495i | −0.461298 | + | 1.25724i | ||||
\(166\) | −0.990762 | − | 0.572017i | −0.0768981 | − | 0.0443971i | ||||
\(167\) | 0.643297 | + | 0.596892i | 0.0497798 | + | 0.0461889i | 0.704670 | − | 0.709535i | \(-0.251095\pi\) |
−0.654891 | + | 0.755724i | \(0.727285\pi\) | |||||||
\(168\) | 3.60176 | − | 15.4023i | 0.277882 | − | 1.18831i | ||||
\(169\) | 11.4835 | − | 10.6551i | 0.883343 | − | 0.819623i | ||||
\(170\) | −17.8206 | + | 4.06744i | −1.36678 | + | 0.311959i | ||||
\(171\) | 9.61263 | + | 0.289678i | 0.735096 | + | 0.0221522i | ||||
\(172\) | 11.1079 | + | 13.9288i | 0.846966 | + | 1.06206i | ||||
\(173\) | −3.82149 | + | 3.54582i | −0.290542 | + | 0.269584i | −0.811954 | − | 0.583721i | \(-0.801596\pi\) |
0.521412 | + | 0.853305i | \(0.325406\pi\) | |||||||
\(174\) | −28.5458 | − | 21.7395i | −2.16405 | − | 1.64806i | ||||
\(175\) | −5.46345 | − | 7.25370i | −0.412998 | − | 0.548328i | ||||
\(176\) | −2.62037 | + | 2.82408i | −0.197518 | + | 0.212873i | ||||
\(177\) | 15.3167 | − | 12.7846i | 1.15128 | − | 0.960952i | ||||
\(178\) | −22.7024 | + | 13.1072i | −1.70161 | + | 0.982428i | ||||
\(179\) | 8.08373 | + | 1.84506i | 0.604206 | + | 0.137906i | 0.513671 | − | 0.857987i | \(-0.328285\pi\) |
0.0905351 | + | 0.995893i | \(0.471142\pi\) | |||||||
\(180\) | 8.04797 | + | 29.1846i | 0.599860 | + | 2.17529i | ||||
\(181\) | −1.19410 | + | 0.952260i | −0.0887565 | + | 0.0707809i | −0.666863 | − | 0.745181i | \(-0.732363\pi\) |
0.578106 | + | 0.815961i | \(0.303792\pi\) | |||||||
\(182\) | 31.3907 | + | 10.6419i | 2.32683 | + | 0.788832i | ||||
\(183\) | 0.834682 | − | 1.52330i | 0.0617015 | − | 0.112606i | ||||
\(184\) | 21.2708 | + | 19.7364i | 1.56811 | + | 1.45499i | ||||
\(185\) | −0.0441419 | − | 0.112472i | −0.00324538 | − | 0.00826908i | ||||
\(186\) | 19.6979 | − | 1.91943i | 1.44432 | − | 0.140739i | ||||
\(187\) | −8.56490 | − | 3.36148i | −0.626328 | − | 0.245815i | ||||
\(188\) | 14.0256 | + | 6.75436i | 1.02292 | + | 0.492613i | ||||
\(189\) | −2.58226 | − | 13.5030i | −0.187832 | − | 0.982201i | ||||
\(190\) | 19.6245 | − | 9.45068i | 1.42371 | − | 0.685624i | ||||
\(191\) | −21.4901 | + | 1.61046i | −1.55497 | + | 0.116529i | −0.824280 | − | 0.566183i | \(-0.808420\pi\) |
−0.730688 | + | 0.682712i | \(0.760801\pi\) | |||||||
\(192\) | 2.69052 | − | 21.0272i | 0.194171 | − | 1.51750i | ||||
\(193\) | 7.04821 | − | 4.80539i | 0.507342 | − | 0.345900i | −0.282443 | − | 0.959284i | \(-0.591145\pi\) |
0.789784 | + | 0.613384i | \(0.210192\pi\) | |||||||
\(194\) | −5.21581 | − | 13.2897i | −0.374474 | − | 0.954143i | ||||
\(195\) | −26.5314 | + | 4.60721i | −1.89996 | + | 0.329929i | ||||
\(196\) | 4.09366 | + | 23.9792i | 0.292405 | + | 1.71280i | ||||
\(197\) | 17.7088i | 1.26170i | 0.775905 | + | 0.630850i | \(0.217294\pi\) | ||||
−0.775905 | + | 0.630850i | \(0.782706\pi\) | |||||||
\(198\) | −7.76458 | + | 22.7187i | −0.551805 | + | 1.61454i | ||||
\(199\) | 6.45938 | − | 13.4130i | 0.457893 | − | 0.950826i | −0.536382 | − | 0.843976i | \(-0.680209\pi\) |
0.994275 | − | 0.106850i | \(-0.0340765\pi\) | |||||||
\(200\) | 8.05828 | + | 8.68476i | 0.569806 | + | 0.614105i | ||||
\(201\) | 9.56045 | − | 2.40798i | 0.674342 | − | 0.169845i | ||||
\(202\) | −15.9369 | − | 1.19431i | −1.12132 | − | 0.0840312i | ||||
\(203\) | 22.6837 | + | 5.84179i | 1.59208 | + | 0.410013i | ||||
\(204\) | −15.7021 | + | 3.95487i | −1.09937 | + | 0.276896i | ||||
\(205\) | 9.99863 | − | 25.4761i | 0.698334 | − | 1.77933i | ||||
\(206\) | 16.0948 | − | 7.75083i | 1.12137 | − | 0.540026i | ||||
\(207\) | 23.8641 | + | 8.15607i | 1.65867 | + | 0.566886i | ||||
\(208\) | −5.87951 | − | 1.34196i | −0.407670 | − | 0.0930481i | ||||
\(209\) | 10.8416 | + | 1.63410i | 0.749927 | + | 0.113033i | ||||
\(210\) | −19.2840 | − | 24.4471i | −1.33073 | − | 1.68701i | ||||
\(211\) | −15.2068 | + | 2.29206i | −1.04688 | + | 0.157792i | −0.649888 | − | 0.760030i | \(-0.725184\pi\) |
−0.396992 | + | 0.917822i | \(0.629946\pi\) | |||||||
\(212\) | 0.950119 | + | 0.0712016i | 0.0652544 | + | 0.00489014i | ||||
\(213\) | 16.0916 | + | 10.4523i | 1.10258 | + | 0.716182i | ||||
\(214\) | −15.7684 | − | 27.3116i | −1.07790 | − | 1.86698i | ||||
\(215\) | 14.8868 | 1.01527 | ||||||||
\(216\) | 5.15298 | + | 17.1795i | 0.350616 | + | 1.16892i | ||||
\(217\) | −11.3634 | + | 6.14812i | −0.771397 | + | 0.417362i | ||||
\(218\) | −9.90010 | − | 10.6698i | −0.670519 | − | 0.722648i | ||||
\(219\) | 6.04143 | + | 0.773026i | 0.408242 | + | 0.0522363i | ||||
\(220\) | 5.14410 | + | 34.1289i | 0.346815 | + | 2.30097i | ||||
\(221\) | −2.14668 | − | 14.2423i | −0.144401 | − | 0.958039i | ||||
\(222\) | −0.0650986 | − | 0.155559i | −0.00436913 | − | 0.0104405i | ||||
\(223\) | 6.80455 | + | 7.33356i | 0.455667 | + | 0.491092i | 0.918537 | − | 0.395334i | \(-0.129371\pi\) |
−0.462871 | + | 0.886426i | \(0.653181\pi\) | |||||||
\(224\) | 3.02859 | + | 10.8778i | 0.202356 | + | 0.726802i | ||||
\(225\) | 9.46749 | + | 4.04891i | 0.631166 | + | 0.269927i | ||||
\(226\) | −8.53214 | −0.567550 | ||||||||
\(227\) | −4.47327 | − | 7.74793i | −0.296901 | − | 0.514248i | 0.678524 | − | 0.734578i | \(-0.262620\pi\) |
−0.975425 | + | 0.220330i | \(0.929287\pi\) | |||||||
\(228\) | 17.1932 | − | 8.75814i | 1.13865 | − | 0.580022i | ||||
\(229\) | 13.1491 | + | 0.985386i | 0.868914 | + | 0.0651161i | 0.501722 | − | 0.865029i | \(-0.332700\pi\) |
0.367192 | + | 0.930145i | \(0.380319\pi\) | |||||||
\(230\) | 56.4816 | − | 8.51324i | 3.72429 | − | 0.561346i | ||||
\(231\) | −1.08812 | − | 15.6355i | −0.0715930 | − | 1.02874i | ||||
\(232\) | −30.2181 | − | 4.55464i | −1.98391 | − | 0.299027i | ||||
\(233\) | −17.5788 | − | 4.01225i | −1.15163 | − | 0.262851i | −0.396250 | − | 0.918143i | \(-0.629689\pi\) |
−0.755376 | + | 0.655291i | \(0.772546\pi\) | |||||||
\(234\) | −36.8765 | + | 7.25564i | −2.41069 | + | 0.474316i | ||||
\(235\) | 11.7198 | − | 5.64396i | 0.764515 | − | 0.368171i | ||||
\(236\) | 14.6245 | − | 37.2626i | 0.951972 | − | 2.42559i | ||||
\(237\) | −4.69205 | + | 16.5120i | −0.304781 | + | 1.07257i | ||||
\(238\) | 13.3030 | − | 10.0198i | 0.862306 | − | 0.649484i | ||||
\(239\) | −14.1888 | − | 1.06330i | −0.917795 | − | 0.0687792i | −0.392550 | − | 0.919731i | \(-0.628407\pi\) |
−0.525245 | + | 0.850951i | \(0.676026\pi\) | |||||||
\(240\) | 3.94519 | + | 4.06587i | 0.254661 | + | 0.262451i | ||||
\(241\) | 14.0896 | + | 15.1849i | 0.907589 | + | 0.978148i | 0.999845 | − | 0.0175872i | \(-0.00559845\pi\) |
−0.0922565 | + | 0.995735i | \(0.529408\pi\) | |||||||
\(242\) | −0.708456 | + | 1.47112i | −0.0455413 | + | 0.0945674i | ||||
\(243\) | 10.1621 | + | 11.8208i | 0.651897 | + | 0.758308i | ||||
\(244\) | − | 3.48507i | − | 0.223109i | ||||||
\(245\) | 17.7983 | + | 9.81849i | 1.13709 | + | 0.627280i | ||||
\(246\) | 13.1572 | − | 35.8592i | 0.838875 | − | 2.28630i | ||||
\(247\) | 6.27039 | + | 15.9767i | 0.398975 | + | 1.01657i | ||||
\(248\) | 13.9269 | − | 9.49520i | 0.884359 | − | 0.602946i | ||||
\(249\) | −0.781194 | + | 0.326915i | −0.0495062 | + | 0.0207174i | ||||
\(250\) | −10.6222 | + | 0.796024i | −0.671807 | + | 0.0503450i | ||||
\(251\) | −9.67035 | + | 4.65700i | −0.610387 | + | 0.293947i | −0.713426 | − | 0.700730i | \(-0.752858\pi\) |
0.103039 | + | 0.994677i | \(0.467143\pi\) | |||||||
\(252\) | −17.5623 | − | 21.2696i | −1.10632 | − | 1.33986i | ||||
\(253\) | 25.9045 | + | 12.4750i | 1.62860 | + | 0.784294i | ||||
\(254\) | −40.2112 | − | 15.7817i | −2.52308 | − | 0.990234i | ||||
\(255\) | −5.59691 | + | 12.3186i | −0.350492 | + | 0.771422i | ||||
\(256\) | −8.24210 | − | 21.0005i | −0.515131 | − | 1.31253i | ||||
\(257\) | 6.78189 | + | 6.29268i | 0.423043 | + | 0.392526i | 0.862763 | − | 0.505608i | \(-0.168732\pi\) |
−0.439720 | + | 0.898135i | \(0.644922\pi\) | |||||||
\(258\) | 20.7719 | − | 0.464058i | 1.29320 | − | 0.0288910i | ||||
\(259\) | 0.0785966 | + | 0.0770797i | 0.00488376 | + | 0.00478950i | ||||
\(260\) | −42.2414 | + | 33.6864i | −2.61970 | + | 2.08914i | ||||
\(261\) | −25.6044 | + | 7.06070i | −1.58487 | + | 0.437046i | ||||
\(262\) | −29.0905 | − | 6.63972i | −1.79722 | − | 0.410203i | ||||
\(263\) | −8.90218 | + | 5.13968i | −0.548932 | + | 0.316926i | −0.748691 | − | 0.662919i | \(-0.769317\pi\) |
0.199759 | + | 0.979845i | \(0.435984\pi\) | |||||||
\(264\) | 3.49845 | + | 20.1464i | 0.215315 | + | 1.23993i | ||||
\(265\) | 0.541517 | − | 0.583617i | 0.0332651 | − | 0.0358513i | ||||
\(266\) | −12.7979 | + | 15.1679i | −0.784688 | + | 0.930001i | ||||
\(267\) | −2.46281 | + | 19.2476i | −0.150722 | + | 1.17793i | ||||
\(268\) | 14.5005 | − | 13.4545i | 0.885758 | − | 0.821864i | ||||
\(269\) | −8.24859 | − | 10.3434i | −0.502925 | − | 0.630648i | 0.463961 | − | 0.885856i | \(-0.346428\pi\) |
−0.966886 | + | 0.255207i | \(0.917856\pi\) | |||||||
\(270\) | 32.7643 | + | 13.1545i | 1.99397 | + | 0.800556i | ||||
\(271\) | 13.2632 | − | 3.02724i | 0.805683 | − | 0.183892i | 0.200205 | − | 0.979754i | \(-0.435839\pi\) |
0.605478 | + | 0.795862i | \(0.292982\pi\) | |||||||
\(272\) | −2.22128 | + | 2.06105i | −0.134685 | + | 0.124970i | ||||
\(273\) | 20.3451 | − | 13.7131i | 1.23134 | − | 0.829954i | ||||
\(274\) | −3.56274 | − | 3.30574i | −0.215233 | − | 0.199707i | ||||
\(275\) | 10.1665 | + | 5.86961i | 0.613061 | + | 0.353951i | ||||
\(276\) | 49.8537 | − | 8.65715i | 3.00084 | − | 0.521099i | ||||
\(277\) | 12.6941 | − | 3.91560i | 0.762713 | − | 0.235266i | 0.111092 | − | 0.993810i | \(-0.464565\pi\) |
0.651621 | + | 0.758544i | \(0.274089\pi\) | |||||||
\(278\) | 9.29111 | − | 4.47436i | 0.557244 | − | 0.268354i | ||||
\(279\) | 7.70378 | − | 12.4608i | 0.461213 | − | 0.746007i | ||||
\(280\) | −24.4086 | − | 10.3674i | −1.45869 | − | 0.619572i | ||||
\(281\) | 2.19976 | − | 14.5945i | 0.131227 | − | 0.870632i | −0.822241 | − | 0.569139i | \(-0.807277\pi\) |
0.953468 | − | 0.301494i | \(-0.0974852\pi\) | |||||||
\(282\) | 16.1771 | − | 8.24052i | 0.963329 | − | 0.490716i | ||||
\(283\) | 0.962840 | − | 0.377887i | 0.0572349 | − | 0.0224630i | −0.336551 | − | 0.941665i | \(-0.609260\pi\) |
0.393786 | + | 0.919202i | \(0.371165\pi\) | |||||||
\(284\) | 38.3913 | + | 2.87703i | 2.27811 | + | 0.170721i | ||||
\(285\) | 3.23578 | − | 15.7952i | 0.191671 | − | 0.935627i | ||||
\(286\) | −42.7280 | + | 3.20202i | −2.52656 | + | 0.189339i | ||||
\(287\) | 1.17512 | + | 24.9078i | 0.0693650 | + | 1.47026i | ||||
\(288\) | −9.11897 | − | 8.98726i | −0.537340 | − | 0.529579i | ||||
\(289\) | 8.79616 | + | 4.23601i | 0.517421 | + | 0.249177i | ||||
\(290\) | −44.0976 | + | 40.9166i | −2.58950 | + | 2.40271i | ||||
\(291\) | −10.1654 | − | 2.88860i | −0.595906 | − | 0.169333i | ||||
\(292\) | 11.3755 | − | 4.46455i | 0.665700 | − | 0.261268i | ||||
\(293\) | 8.49703 | − | 14.7173i | 0.496402 | − | 0.859793i | −0.503590 | − | 0.863943i | \(-0.667988\pi\) |
0.999991 | + | 0.00415008i | \(0.00132101\pi\) | |||||||
\(294\) | 25.1406 | + | 13.1452i | 1.46623 | + | 0.766645i | ||||
\(295\) | −16.7244 | − | 28.9675i | −0.973733 | − | 1.68656i | ||||
\(296\) | −0.112287 | − | 0.0895457i | −0.00652653 | − | 0.00520474i | ||||
\(297\) | 9.89660 | + | 14.7614i | 0.574259 | + | 0.856542i | ||||
\(298\) | 3.52534 | + | 15.4455i | 0.204217 | + | 0.894735i | ||||
\(299\) | 3.36347 | + | 44.8824i | 0.194514 | + | 2.59561i | ||||
\(300\) | 20.5622 | − | 2.00365i | 1.18716 | − | 0.115681i | ||||
\(301\) | −12.3785 | + | 5.54486i | −0.713483 | + | 0.319600i | ||||
\(302\) | 2.59121 | + | 3.80060i | 0.149107 | + | 0.218700i | ||||
\(303\) | −7.85071 | + | 8.84952i | −0.451012 | + | 0.508392i | ||||
\(304\) | 2.03406 | − | 2.98342i | 0.116661 | − | 0.171111i | ||||
\(305\) | −2.27680 | − | 1.81568i | −0.130369 | − | 0.103966i | ||||
\(306\) | −7.42554 | + | 17.3630i | −0.424490 | + | 0.992578i | ||||
\(307\) | 3.33551 | + | 2.65998i | 0.190368 | + | 0.151813i | 0.714036 | − | 0.700109i | \(-0.246865\pi\) |
−0.523668 | + | 0.851922i | \(0.675437\pi\) | |||||||
\(308\) | −16.9893 | − | 26.4624i | −0.968057 | − | 1.50784i | ||||
\(309\) | 2.65377 | − | 12.9542i | 0.150968 | − | 0.736938i | ||||
\(310\) | 2.47959 | − | 33.0879i | 0.140831 | − | 1.87926i | ||||
\(311\) | 24.8620 | + | 23.0686i | 1.40980 | + | 1.30810i | 0.891589 | + | 0.452846i | \(0.149591\pi\) |
0.518208 | + | 0.855254i | \(0.326599\pi\) | |||||||
\(312\) | −24.5738 | + | 20.5114i | −1.39122 | + | 1.16123i | ||||
\(313\) | −1.99744 | + | 1.15322i | −0.112902 | + | 0.0651839i | −0.555388 | − | 0.831592i | \(-0.687430\pi\) |
0.442486 | + | 0.896776i | \(0.354097\pi\) | |||||||
\(314\) | −3.77384 | + | 16.5343i | −0.212970 | + | 0.933084i | ||||
\(315\) | −23.0452 | + | 0.392216i | −1.29845 | + | 0.0220989i | ||||
\(316\) | 7.66383 | + | 33.5774i | 0.431124 | + | 1.88888i | ||||
\(317\) | 1.52374 | + | 1.64220i | 0.0855819 | + | 0.0922354i | 0.774391 | − | 0.632708i | \(-0.218057\pi\) |
−0.688809 | + | 0.724943i | \(0.741866\pi\) | |||||||
\(318\) | 0.737403 | − | 0.831219i | 0.0413515 | − | 0.0466124i | ||||
\(319\) | −29.9422 | + | 4.51306i | −1.67644 | + | 0.252683i | ||||
\(320\) | −33.9612 | − | 10.4757i | −1.89849 | − | 0.585607i | ||||
\(321\) | −23.1554 | − | 2.96283i | −1.29241 | − | 0.165369i | ||||
\(322\) | −43.7940 | + | 28.1165i | −2.44055 | + | 1.56687i | ||||
\(323\) | 8.40755 | + | 1.91897i | 0.467809 | + | 0.106774i | ||||
\(324\) | 29.2775 | + | 11.0018i | 1.62653 | + | 0.611212i | ||||
\(325\) | 18.3766i | 1.01935i | ||||||||
\(326\) | 12.0926 | + | 39.2032i | 0.669747 | + | 2.17127i | ||||
\(327\) | −10.7234 | + | 1.04492i | −0.593003 | + | 0.0577842i | ||||
\(328\) | −4.84857 | − | 32.1682i | −0.267718 | − | 1.77619i | ||||
\(329\) | −7.64291 | + | 9.05826i | −0.421367 | + | 0.499398i | ||||
\(330\) | 35.2998 | + | 19.3423i | 1.94319 | + | 1.06476i | ||||
\(331\) | −21.9939 | + | 6.78423i | −1.20890 | + | 0.372895i | −0.832741 | − | 0.553662i | \(-0.813230\pi\) |
−0.376154 | + | 0.926557i | \(0.622754\pi\) | |||||||
\(332\) | −1.05936 | + | 1.32840i | −0.0581400 | + | 0.0729053i | ||||
\(333\) | −0.120803 | − | 0.0314291i | −0.00661997 | − | 0.00172231i | ||||
\(334\) | 1.60542 | − | 1.28028i | 0.0878445 | − | 0.0700537i | ||||
\(335\) | −1.23522 | − | 16.4828i | −0.0674870 | − | 0.900552i | ||||
\(336\) | −4.79487 | − | 1.91134i | −0.261582 | − | 0.104272i | ||||
\(337\) | −1.46860 | + | 19.5971i | −0.0799995 | + | 1.06752i | 0.802328 | + | 0.596884i | \(0.203595\pi\) |
−0.882327 | + | 0.470636i | \(0.844024\pi\) | |||||||
\(338\) | −20.6486 | − | 30.2860i | −1.12314 | − | 1.64734i | ||||
\(339\) | −3.82650 | + | 5.02452i | −0.207827 | + | 0.272894i | ||||
\(340\) | 2.02872 | + | 27.0714i | 0.110023 | + | 1.46815i | ||||
\(341\) | 10.4135 | − | 13.0581i | 0.563920 | − | 0.707134i | ||||
\(342\) | 4.02260 | − | 22.1404i | 0.217517 | − | 1.19722i | ||||
\(343\) | −18.4566 | − | 1.53483i | −0.996560 | − | 0.0828729i | ||||
\(344\) | 15.3247 | − | 8.84775i | 0.826255 | − | 0.477038i | ||||
\(345\) | 20.3175 | − | 37.0797i | 1.09386 | − | 1.99630i | ||||
\(346\) | 6.87149 | + | 10.0786i | 0.369414 | + | 0.541831i | ||||
\(347\) | 0.0968280 | − | 0.313909i | 0.00519800 | − | 0.0168515i | −0.952937 | − | 0.303169i | \(-0.901955\pi\) |
0.958135 | + | 0.286318i | \(0.0924314\pi\) | |||||||
\(348\) | −38.2448 | + | 37.1097i | −2.05014 | + | 1.98929i | ||||
\(349\) | 15.9264 | − | 23.3597i | 0.852519 | − | 1.25042i | −0.113912 | − | 0.993491i | \(-0.536338\pi\) |
0.966431 | − | 0.256925i | \(-0.0827093\pi\) | |||||||
\(350\) | −18.6887 | + | 10.1115i | −0.998955 | + | 0.540481i | ||||
\(351\) | −12.2656 | + | 24.9703i | −0.654689 | + | 1.33282i | ||||
\(352\) | −9.10091 | − | 11.4122i | −0.485080 | − | 0.608271i | ||||
\(353\) | −5.40036 | − | 3.68190i | −0.287432 | − | 0.195968i | 0.411017 | − | 0.911628i | \(-0.365174\pi\) |
−0.698449 | + | 0.715660i | \(0.746126\pi\) | |||||||
\(354\) | −24.2391 | − | 39.8980i | −1.28829 | − | 2.12055i | ||||
\(355\) | 21.8810 | − | 23.5821i | 1.16132 | − | 1.25161i | ||||
\(356\) | 14.2238 | + | 36.2416i | 0.753859 | + | 1.92080i | ||||
\(357\) | 0.0655731 | − | 12.3277i | 0.00347050 | − | 0.652452i | ||||
\(358\) | 7.08820 | − | 18.0604i | 0.374623 | − | 0.954524i | ||||
\(359\) | 6.65289 | + | 13.8149i | 0.351126 | + | 0.729121i | 0.999481 | − | 0.0322175i | \(-0.0102569\pi\) |
−0.648355 | + | 0.761338i | \(0.724543\pi\) | |||||||
\(360\) | 29.8555 | − | 3.58401i | 1.57352 | − | 0.188894i | ||||
\(361\) | 8.72372 | 0.459143 | ||||||||
\(362\) | 1.78688 | + | 3.09496i | 0.0939161 | + | 0.162667i | ||||
\(363\) | 0.548606 | + | 1.07697i | 0.0287944 | + | 0.0565265i | ||||
\(364\) | 22.5770 | − | 43.7442i | 1.18335 | − | 2.29282i | ||||
\(365\) | 3.00982 | − | 9.75759i | 0.157541 | − | 0.510735i | ||||
\(366\) | −3.23348 | − | 2.46251i | −0.169017 | − | 0.128717i | ||||
\(367\) | −26.9507 | − | 10.5774i | −1.40682 | − | 0.552134i | −0.464115 | − | 0.885775i | \(-0.653628\pi\) |
−0.942700 | + | 0.333641i | \(0.891723\pi\) | |||||||
\(368\) | 7.40316 | − | 5.90382i | 0.385916 | − | 0.307758i | ||||
\(369\) | −15.2165 | − | 23.8304i | −0.792139 | − | 1.24056i | ||||
\(370\) | −0.275628 | + | 0.0629103i | −0.0143292 | + | 0.00327055i | ||||
\(371\) | −0.232897 | + | 0.686981i | −0.0120914 | + | 0.0356663i | ||||
\(372\) | 1.54135 | − | 29.3528i | 0.0799153 | − | 1.52187i | ||||
\(373\) | 6.21304 | − | 10.7613i | 0.321699 | − | 0.557199i | −0.659140 | − | 0.752021i | \(-0.729079\pi\) |
0.980839 | + | 0.194821i | \(0.0624127\pi\) | |||||||
\(374\) | −10.7646 | + | 18.6449i | −0.556627 | + | 0.964106i | ||||
\(375\) | −4.29508 | + | 6.61235i | −0.221797 | + | 0.341460i | ||||
\(376\) | 8.71020 | − | 12.7755i | 0.449194 | − | 0.658847i | ||||
\(377\) | −29.5540 | − | 37.0595i | −1.52211 | − | 1.90866i | ||||
\(378\) | −32.1435 | + | 1.26565i | −1.65328 | + | 0.0650980i | ||||
\(379\) | 6.49202 | − | 8.14073i | 0.333472 | − | 0.418161i | −0.586620 | − | 0.809862i | \(-0.699542\pi\) |
0.920093 | + | 0.391701i | \(0.128113\pi\) | |||||||
\(380\) | −9.53514 | − | 30.9122i | −0.489142 | − | 1.58576i | ||||
\(381\) | −27.3277 | + | 16.6023i | −1.40004 | + | 0.850562i | ||||
\(382\) | −3.76832 | + | 50.2847i | −0.192804 | + | 2.57279i | ||||
\(383\) | 29.9035 | − | 4.50722i | 1.52800 | − | 0.230308i | 0.669377 | − | 0.742923i | \(-0.266561\pi\) |
0.858619 | + | 0.512615i | \(0.171323\pi\) | |||||||
\(384\) | −33.4927 | − | 9.51729i | −1.70917 | − | 0.485677i | ||||
\(385\) | −26.1391 | − | 2.68752i | −1.33217 | − | 0.136969i | ||||
\(386\) | −8.66054 | − | 17.9838i | −0.440810 | − | 0.915351i | ||||
\(387\) | 9.04253 | − | 12.4406i | 0.459657 | − | 0.632390i | ||||
\(388\) | −20.6715 | + | 4.71814i | −1.04944 | + | 0.239527i | ||||
\(389\) | 21.1999 | − | 1.58871i | 1.07488 | − | 0.0805510i | 0.474491 | − | 0.880260i | \(-0.342632\pi\) |
0.600388 | + | 0.799709i | \(0.295013\pi\) | |||||||
\(390\) | 1.40733 | + | 62.9944i | 0.0712631 | + | 3.18985i | ||||
\(391\) | 19.5850 | + | 11.3074i | 0.990456 | + | 0.571840i | ||||
\(392\) | 24.1575 | − | 0.470836i | 1.22014 | − | 0.0237808i | ||||
\(393\) | −16.9566 | + | 14.1534i | −0.855347 | + | 0.713945i | ||||
\(394\) | 40.9741 | + | 6.17585i | 2.06425 | + | 0.311135i | ||||
\(395\) | 25.9289 | + | 12.4867i | 1.30462 | + | 0.628274i | ||||
\(396\) | 31.6455 | + | 16.4318i | 1.59025 | + | 0.825727i | ||||
\(397\) | −6.39242 | + | 13.2740i | −0.320826 | + | 0.666202i | −0.997544 | − | 0.0700399i | \(-0.977687\pi\) |
0.676718 | + | 0.736242i | \(0.263402\pi\) | |||||||
\(398\) | −28.7820 | − | 19.6233i | −1.44271 | − | 0.983625i | ||||
\(399\) | 3.19265 | + | 14.3391i | 0.159832 | + | 0.717851i | ||||
\(400\) | 3.19435 | − | 2.17787i | 0.159718 | − | 0.108894i | ||||
\(401\) | 3.79319 | + | 25.1662i | 0.189423 | + | 1.25674i | 0.858215 | + | 0.513290i | \(0.171573\pi\) |
−0.668793 | + | 0.743449i | \(0.733189\pi\) | |||||||
\(402\) | −2.23734 | − | 22.9605i | −0.111589 | − | 1.14516i | ||||
\(403\) | 25.8531 | + | 3.89673i | 1.28784 | + | 0.194110i | ||||
\(404\) | −5.28162 | + | 23.1403i | −0.262771 | + | 1.15127i | ||||
\(405\) | 22.4407 | − | 13.3952i | 1.11509 | − | 0.665611i | ||||
\(406\) | 21.4274 | − | 50.4475i | 1.06342 | − | 2.50367i | ||||
\(407\) | −0.132471 | − | 0.0519912i | −0.00656637 | − | 0.00257711i | ||||
\(408\) | 1.55983 | + | 16.0075i | 0.0772229 | + | 0.792490i | ||||
\(409\) | −16.4491 | + | 17.7279i | −0.813354 | + | 0.876587i | −0.994269 | − | 0.106912i | \(-0.965904\pi\) |
0.180915 | + | 0.983499i | \(0.442094\pi\) | |||||||
\(410\) | −55.4588 | − | 32.0192i | −2.73892 | − | 1.58131i | ||||
\(411\) | −3.54455 | + | 0.615514i | −0.174840 | + | 0.0303611i | ||||
\(412\) | −7.82010 | − | 25.3521i | −0.385268 | − | 1.24901i | ||||
\(413\) | 24.6960 | + | 17.8574i | 1.21521 | + | 0.878707i | ||||
\(414\) | 27.1938 | − | 52.3717i | 1.33650 | − | 2.57393i | ||||
\(415\) | 0.315926 | + | 1.38416i | 0.0155082 | + | 0.0679458i | ||||
\(416\) | 8.34795 | − | 21.2702i | 0.409292 | − | 1.04286i | ||||
\(417\) | 1.53196 | − | 7.47813i | 0.0750203 | − | 0.366206i | ||||
\(418\) | 7.56188 | − | 24.5150i | 0.369864 | − | 1.19907i | ||||
\(419\) | −31.8237 | − | 9.81630i | −1.55469 | − | 0.479558i | −0.605918 | − | 0.795527i | \(-0.707194\pi\) |
−0.948769 | + | 0.315969i | \(0.897670\pi\) | |||||||
\(420\) | −40.1711 | + | 22.9087i | −1.96015 | + | 1.11783i | ||||
\(421\) | −32.7509 | + | 10.1023i | −1.59618 | + | 0.492357i | −0.960192 | − | 0.279341i | \(-0.909884\pi\) |
−0.635989 | + | 0.771698i | \(0.719408\pi\) | |||||||
\(422\) | 35.9844i | 1.75169i | ||||||||
\(423\) | 2.40230 | − | 13.2223i | 0.116804 | − | 0.642889i | ||||
\(424\) | 0.210585 | − | 0.922631i | 0.0102269 | − | 0.0448069i | ||||
\(425\) | 7.62907 | + | 5.20141i | 0.370064 | + | 0.252306i | ||||
\(426\) | 29.7962 | − | 33.5870i | 1.44363 | − | 1.62729i | ||||
\(427\) | 2.56946 | + | 0.661720i | 0.124345 | + | 0.0320229i | ||||
\(428\) | −43.5997 | + | 17.1116i | −2.10747 | + | 0.827121i | ||||
\(429\) | −17.2770 | + | 26.5983i | −0.834142 | + | 1.28418i | ||||
\(430\) | 5.19168 | − | 34.4445i | 0.250365 | − | 1.66106i | ||||
\(431\) | 4.35771 | + | 9.04887i | 0.209903 | + | 0.435869i | 0.979165 | − | 0.203065i | \(-0.0650902\pi\) |
−0.769262 | + | 0.638934i | \(0.779376\pi\) | |||||||
\(432\) | 5.79416 | − | 0.827226i | 0.278772 | − | 0.0397999i | ||||
\(433\) | −6.13626 | + | 12.7421i | −0.294890 | + | 0.612345i | −0.994796 | − | 0.101890i | \(-0.967511\pi\) |
0.699906 | + | 0.714235i | \(0.253225\pi\) | |||||||
\(434\) | 10.2624 | + | 28.4364i | 0.492611 | + | 1.36499i | ||||
\(435\) | 4.31860 | + | 44.3191i | 0.207061 | + | 2.12494i | ||||
\(436\) | −17.8608 | + | 12.1773i | −0.855379 | + | 0.583187i | ||||
\(437\) | −25.7511 | − | 7.94316i | −1.23184 | − | 0.379973i | ||||
\(438\) | 3.89552 | − | 13.7089i | 0.186135 | − | 0.655036i | ||||
\(439\) | 3.25380 | − | 21.5875i | 0.155295 | − | 1.03032i | −0.766389 | − | 0.642377i | \(-0.777948\pi\) |
0.921684 | − | 0.387941i | \(-0.126813\pi\) | |||||||
\(440\) | 34.2817 | 1.63431 | ||||||||
\(441\) | 19.0162 | − | 8.90977i | 0.905534 | − | 0.424275i | ||||
\(442\) | −33.7020 | −1.60304 | ||||||||
\(443\) | −5.39242 | + | 35.7764i | −0.256202 | + | 1.69979i | 0.377338 | + | 0.926076i | \(0.376840\pi\) |
−0.633539 | + | 0.773711i | \(0.718399\pi\) | |||||||
\(444\) | −0.242861 | + | 0.0611690i | −0.0115257 | + | 0.00290295i | ||||
\(445\) | 31.0870 | + | 9.58908i | 1.47367 | + | 0.454566i | ||||
\(446\) | 19.3412 | − | 13.1866i | 0.915834 | − | 0.624405i | ||||
\(447\) | 10.6768 | + | 4.85096i | 0.504996 | + | 0.229443i | ||||
\(448\) | 32.1409 | − | 3.93893i | 1.51852 | − | 0.186097i | ||||
\(449\) | 2.24904 | − | 4.67019i | 0.106139 | − | 0.220400i | −0.841135 | − | 0.540826i | \(-0.818112\pi\) |
0.947273 | + | 0.320426i | \(0.103826\pi\) | |||||||
\(450\) | 12.6700 | − | 20.4936i | 0.597268 | − | 0.966075i | ||||
\(451\) | −13.9860 | − | 29.0423i | −0.658576 | − | 1.36755i | ||||
\(452\) | −1.88862 | + | 12.5301i | −0.0888330 | + | 0.589368i | ||||
\(453\) | 3.40025 | + | 0.178551i | 0.159758 | + | 0.00838906i | ||||
\(454\) | −19.4870 | + | 7.64807i | −0.914568 | + | 0.358942i | ||||
\(455\) | −16.8157 | − | 37.5398i | −0.788333 | − | 1.75989i | ||||
\(456\) | −6.05669 | − | 18.1831i | −0.283630 | − | 0.851500i | ||||
\(457\) | 9.43324 | + | 6.43147i | 0.441268 | + | 0.300852i | 0.763498 | − | 0.645810i | \(-0.223480\pi\) |
−0.322230 | + | 0.946661i | \(0.604432\pi\) | |||||||
\(458\) | 6.86562 | − | 30.0803i | 0.320809 | − | 1.40556i | ||||
\(459\) | 6.89475 | + | 12.1598i | 0.321820 | + | 0.567572i | ||||
\(460\) | − | 84.8323i | − | 3.95533i | ||||||
\(461\) | −17.5468 | + | 5.41249i | −0.817238 | + | 0.252085i | −0.675066 | − | 0.737757i | \(-0.735885\pi\) |
−0.142172 | + | 0.989842i | \(0.545409\pi\) | |||||||
\(462\) | −36.5565 | − | 2.93515i | −1.70076 | − | 0.136556i | ||||
\(463\) | 29.2855 | + | 9.03337i | 1.36101 | + | 0.419817i | 0.887434 | − | 0.460935i | \(-0.152486\pi\) |
0.473578 | + | 0.880752i | \(0.342962\pi\) | |||||||
\(464\) | −2.93941 | + | 9.52934i | −0.136459 | + | 0.442389i | ||||
\(465\) | −18.3732 | − | 16.2995i | −0.852035 | − | 0.755870i | ||||
\(466\) | −15.4139 | + | 39.2741i | −0.714037 | + | 1.81934i | ||||
\(467\) | −3.99779 | − | 17.5155i | −0.184996 | − | 0.810520i | −0.979205 | − | 0.202875i | \(-0.934972\pi\) |
0.794209 | − | 0.607645i | \(-0.207886\pi\) | |||||||
\(468\) | 2.49277 | + | 55.7622i | 0.115228 | + | 2.57761i | ||||
\(469\) | 7.16643 | + | 13.2455i | 0.330915 | + | 0.611621i | ||||
\(470\) | −8.97160 | − | 29.0852i | −0.413829 | − | 1.34160i | ||||
\(471\) | 8.04444 | + | 9.63769i | 0.370668 | + | 0.444081i | ||||
\(472\) | −34.4330 | − | 19.8799i | −1.58491 | − | 0.915045i | ||||
\(473\) | 11.9261 | − | 12.8533i | 0.548362 | − | 0.590994i | ||||
\(474\) | 36.5686 | + | 16.6148i | 1.67965 | + | 0.763143i | ||||
\(475\) | −10.2423 | − | 4.01979i | −0.469947 | − | 0.184441i | ||||
\(476\) | −11.7702 | − | 21.7545i | −0.539485 | − | 0.997114i | ||||
\(477\) | −0.158789 | − | 0.807037i | −0.00727043 | − | 0.0369517i | ||||
\(478\) | −7.40849 | + | 32.4587i | −0.338856 | + | 1.48463i | ||||
\(479\) | 33.6171 | + | 5.06696i | 1.53600 | + | 0.231515i | 0.861883 | − | 0.507107i | \(-0.169285\pi\) |
0.674119 | + | 0.738622i | \(0.264523\pi\) | |||||||
\(480\) | −17.4610 | + | 12.4849i | −0.796981 | + | 0.569857i | ||||
\(481\) | −0.0332022 | − | 0.220282i | −0.00151389 | − | 0.0100440i | ||||
\(482\) | 40.0481 | − | 27.3044i | 1.82414 | − | 1.24368i | ||||
\(483\) | −3.08314 | + | 38.3997i | −0.140288 | + | 1.74725i | ||||
\(484\) | 2.00365 | + | 1.36606i | 0.0910748 | + | 0.0620938i | ||||
\(485\) | −7.68727 | + | 15.9628i | −0.349061 | + | 0.724833i | ||||
\(486\) | 30.8947 | − | 19.3902i | 1.40141 | − | 0.879558i | ||||
\(487\) | −30.7063 | − | 14.7874i | −1.39144 | − | 0.670081i | −0.420032 | − | 0.907509i | \(-0.637981\pi\) |
−0.971405 | + | 0.237428i | \(0.923695\pi\) | |||||||
\(488\) | −3.42291 | − | 0.515921i | −0.154948 | − | 0.0233546i | ||||
\(489\) | 28.5098 | + | 10.4606i | 1.28926 | + | 0.473046i | ||||
\(490\) | 28.9248 | − | 37.7571i | 1.30669 | − | 1.70569i | ||||
\(491\) | −12.0650 | − | 6.96572i | −0.544485 | − | 0.314358i | 0.202410 | − | 0.979301i | \(-0.435123\pi\) |
−0.746895 | + | 0.664942i | \(0.768456\pi\) | |||||||
\(492\) | −49.7498 | − | 27.2600i | −2.24289 | − | 1.22898i | ||||
\(493\) | −23.7505 | + | 1.77985i | −1.06967 | + | 0.0801604i | ||||
\(494\) | 39.1532 | − | 8.93645i | 1.76158 | − | 0.402070i | ||||
\(495\) | 27.2218 | − | 12.1132i | 1.22353 | − | 0.544448i | ||||
\(496\) | −2.38658 | − | 4.95579i | −0.107161 | − | 0.222522i | ||||
\(497\) | −9.41064 | + | 27.7588i | −0.422125 | + | 1.24515i | ||||
\(498\) | 0.483969 | + | 1.92151i | 0.0216872 | + | 0.0861051i | ||||
\(499\) | −6.45705 | + | 0.973244i | −0.289057 | + | 0.0435684i | −0.291970 | − | 0.956427i | \(-0.594311\pi\) |
0.00291301 | + | 0.999996i | \(0.499073\pi\) | |||||||
\(500\) | −1.18223 | + | 15.7758i | −0.0528710 | + | 0.705514i | ||||
\(501\) | −0.0339488 | − | 1.51960i | −0.00151672 | − | 0.0678906i | ||||
\(502\) | 7.40273 | + | 23.9991i | 0.330400 | + | 1.07113i | ||||
\(503\) | 7.70979 | − | 9.66777i | 0.343763 | − | 0.431065i | −0.579655 | − | 0.814862i | \(-0.696813\pi\) |
0.923417 | + | 0.383798i | \(0.125384\pi\) | |||||||
\(504\) | −23.4901 | + | 14.1004i | −1.04633 | + | 0.628081i | ||||
\(505\) | 12.3659 | + | 15.5063i | 0.550274 | + | 0.690022i | ||||
\(506\) | 37.8983 | − | 55.5866i | 1.68478 | − | 2.47112i | ||||
\(507\) | −27.0957 | − | 1.42283i | −1.20336 | − | 0.0631899i | ||||
\(508\) | −32.0776 | + | 55.5601i | −1.42321 | + | 2.46508i | ||||
\(509\) | 19.5237 | − | 33.8160i | 0.865371 | − | 1.49887i | −0.00130794 | − | 0.999999i | \(-0.500416\pi\) |
0.866679 | − | 0.498867i | \(-0.166250\pi\) | |||||||
\(510\) | 26.5506 | + | 17.2460i | 1.17568 | + | 0.763667i | ||||
\(511\) | 1.13171 | + | 9.23458i | 0.0500641 | + | 0.408514i | ||||
\(512\) | −12.2677 | + | 2.80003i | −0.542162 | + | 0.123745i | ||||
\(513\) | −11.2343 | − | 12.2984i | −0.496005 | − | 0.542988i | ||||
\(514\) | 16.9250 | − | 13.4972i | 0.746528 | − | 0.595336i | ||||
\(515\) | −20.6367 | − | 8.09931i | −0.909362 | − | 0.356898i | ||||
\(516\) | 3.91643 | − | 30.6080i | 0.172411 | − | 1.34744i | ||||
\(517\) | 4.51597 | − | 14.6404i | 0.198612 | − | 0.643884i | ||||
\(518\) | 0.205755 | − | 0.154973i | 0.00904035 | − | 0.00680914i | ||||
\(519\) | 9.01697 | + | 0.473491i | 0.395801 | + | 0.0207839i | ||||
\(520\) | 26.8323 | + | 46.4749i | 1.17667 | + | 2.03806i | ||||
\(521\) | 7.03655 | 0.308277 | 0.154139 | − | 0.988049i | \(-0.450740\pi\) | ||||
0.154139 | + | 0.988049i | \(0.450740\pi\) | |||||||
\(522\) | 7.40742 | + | 61.7051i | 0.324214 | + | 2.70076i | ||||
\(523\) | −5.43752 | − | 11.2911i | −0.237766 | − | 0.493727i | 0.747606 | − | 0.664143i | \(-0.231203\pi\) |
−0.985372 | + | 0.170416i | \(0.945489\pi\) | |||||||
\(524\) | −16.1902 | + | 41.2520i | −0.707274 | + | 1.80210i | ||||
\(525\) | −2.42696 | + | 15.5405i | −0.105921 | + | 0.678242i | ||||
\(526\) | 8.78744 | + | 22.3900i | 0.383151 | + | 0.976252i | ||||
\(527\) | 8.93535 | − | 9.63002i | 0.389230 | − | 0.419490i | ||||
\(528\) | 6.67106 | − | 0.149036i | 0.290321 | − | 0.00648594i | ||||
\(529\) | −39.3857 | − | 26.8527i | −1.71242 | − | 1.16751i | ||||
\(530\) | −1.16150 | − | 1.45648i | −0.0504525 | − | 0.0632654i | ||||
\(531\) | −34.3664 | − | 3.61921i | −1.49137 | − | 0.157060i | ||||
\(532\) | 19.4424 | + | 22.1522i | 0.842934 | + | 0.960419i | ||||
\(533\) | 28.4251 | − | 41.6919i | 1.23123 | − | 1.80588i | ||||
\(534\) | 43.6756 | + | 12.4109i | 1.89003 | + | 0.537071i | ||||
\(535\) | −11.5359 | + | 37.3986i | −0.498742 | + | 1.61688i | ||||
\(536\) | −11.0679 | − | 16.2336i | −0.478060 | − | 0.701185i | ||||
\(537\) | −7.45675 | − | 12.2739i | −0.321783 | − | 0.529660i | ||||
\(538\) | −26.8089 | + | 15.4781i | −1.15581 | + | 0.667310i | ||||
\(539\) | 22.7359 | − | 7.50134i | 0.979306 | − | 0.323105i | ||||
\(540\) | 26.5709 | − | 45.2053i | 1.14343 | − | 1.94533i | ||||
\(541\) | −18.4912 | + | 23.1872i | −0.794997 | + | 0.996895i | 0.204839 | + | 0.978796i | \(0.434333\pi\) |
−0.999836 | + | 0.0180996i | \(0.994238\pi\) | |||||||
\(542\) | −2.37887 | − | 31.7438i | −0.102181 | − | 1.36351i | ||||
\(543\) | 2.62398 | + | 0.335749i | 0.112606 | + | 0.0144084i | ||||
\(544\) | −6.46752 | − | 9.48611i | −0.277293 | − | 0.406713i | ||||
\(545\) | −1.34987 | + | 18.0127i | −0.0578219 | + | 0.771580i | ||||
\(546\) | −24.6337 | − | 51.8562i | −1.05422 | − | 2.21924i | ||||
\(547\) | 0.514635 | + | 6.86733i | 0.0220042 | + | 0.293626i | 0.997339 | + | 0.0728971i | \(0.0232245\pi\) |
−0.975335 | + | 0.220729i | \(0.929156\pi\) | |||||||
\(548\) | −5.64337 | + | 4.50044i | −0.241073 | + | 0.192249i | ||||
\(549\) | −2.90031 | + | 0.799791i | −0.123782 | + | 0.0341342i | ||||
\(550\) | 17.1264 | − | 21.4759i | 0.730273 | − | 0.915734i | ||||
\(551\) | 27.1201 | − | 8.36543i | 1.15535 | − | 0.356379i | ||||
\(552\) | −1.12253 | − | 50.2460i | −0.0477779 | − | 2.13861i | ||||
\(553\) | −26.2110 | − | 0.725077i | −1.11461 | − | 0.0308334i | ||||
\(554\) | −4.63282 | − | 30.7367i | −0.196829 | − | 1.30588i | ||||
\(555\) | −0.0865663 | + | 0.190529i | −0.00367453 | + | 0.00808752i | ||||
\(556\) | −4.51435 | − | 14.6352i | −0.191451 | − | 0.620669i | ||||
\(557\) | − | 18.4015i | − | 0.779698i | −0.920879 | − | 0.389849i | \(-0.872527\pi\) | ||
0.920879 | − | 0.389849i | \(-0.127473\pi\) | |||||||
\(558\) | −26.1447 | − | 22.1704i | −1.10679 | − | 0.938548i | ||||
\(559\) | 26.7595 | + | 6.10767i | 1.13180 | + | 0.258327i | ||||
\(560\) | −4.53255 | + | 7.37199i | −0.191535 | + | 0.311524i | ||||
\(561\) | 6.15213 | + | 14.7011i | 0.259743 | + | 0.620681i | ||||
\(562\) | −33.0011 | − | 10.1795i | −1.39207 | − | 0.429395i | ||||
\(563\) | −19.1805 | + | 2.89099i | −0.808360 | + | 0.121841i | −0.540203 | − | 0.841535i | \(-0.681653\pi\) |
−0.268157 | + | 0.963375i | \(0.586415\pi\) | |||||||
\(564\) | −8.52103 | − | 25.5814i | −0.358800 | − | 1.07717i | ||||
\(565\) | 7.20199 | + | 7.76190i | 0.302990 | + | 0.326545i | ||||
\(566\) | −0.538558 | − | 2.35958i | −0.0226373 | − | 0.0991804i | ||||
\(567\) | −13.6704 | + | 19.4967i | −0.574102 | + | 0.818784i | ||||
\(568\) | 8.50907 | − | 37.2807i | 0.357033 | − | 1.56426i | ||||
\(569\) | −23.4946 | + | 13.5646i | −0.984946 | + | 0.568659i | −0.903760 | − | 0.428040i | \(-0.859204\pi\) |
−0.0811860 | + | 0.996699i | \(0.525871\pi\) | |||||||
\(570\) | −35.4180 | − | 12.9953i | −1.48350 | − | 0.544315i | ||||
\(571\) | −5.63700 | − | 5.23037i | −0.235901 | − | 0.218884i | 0.553360 | − | 0.832942i | \(-0.313346\pi\) |
−0.789261 | + | 0.614058i | \(0.789536\pi\) | |||||||
\(572\) | −4.75554 | + | 63.4583i | −0.198839 | + | 2.65333i | ||||
\(573\) | 27.9223 | + | 24.7709i | 1.16647 | + | 1.03482i | ||||
\(574\) | 58.0407 | + | 5.96750i | 2.42257 | + | 0.249079i | ||||
\(575\) | −22.5587 | − | 17.9899i | −0.940762 | − | 0.750233i | ||||
\(576\) | −29.3831 | + | 22.0176i | −1.22429 | + | 0.917401i | ||||
\(577\) | 36.3951 | + | 29.0241i | 1.51515 | + | 1.20829i | 0.911681 | + | 0.410899i | \(0.134785\pi\) |
0.603465 | + | 0.797389i | \(0.293786\pi\) | |||||||
\(578\) | 12.8688 | − | 18.8750i | 0.535270 | − | 0.785097i | ||||
\(579\) | −14.4746 | − | 2.96525i | −0.601545 | − | 0.123231i | ||||
\(580\) | 50.3282 | + | 73.8180i | 2.08977 | + | 3.06512i | ||||
\(581\) | −0.778252 | − | 1.03327i | −0.0322874 | − | 0.0428672i | ||||
\(582\) | −10.2287 | + | 22.5130i | −0.423993 | + | 0.933193i | ||||
\(583\) | −0.0700757 | − | 0.935096i | −0.00290224 | − | 0.0387277i | ||||
\(584\) | −2.70092 | − | 11.8335i | −0.111765 | − | 0.489674i | ||||
\(585\) | 37.7281 | + | 27.4230i | 1.55987 | + | 1.13380i | ||||
\(586\) | −31.0891 | − | 24.7927i | −1.28428 | − | 1.02418i | ||||
\(587\) | −5.47233 | − | 9.47835i | −0.225867 | − | 0.391213i | 0.730712 | − | 0.682686i | \(-0.239188\pi\) |
−0.956579 | + | 0.291472i | \(0.905855\pi\) | |||||||
\(588\) | 24.8698 | − | 34.0113i | 1.02561 | − | 1.40260i | ||||
\(589\) | −7.82710 | + | 13.5569i | −0.322510 | + | 0.558604i | ||||
\(590\) | −72.8568 | + | 28.5942i | −2.99947 | + | 1.17720i | ||||
\(591\) | 22.0130 | − | 21.3596i | 0.905494 | − | 0.878618i | ||||
\(592\) | −0.0343561 | + | 0.0318778i | −0.00141203 | + | 0.00131017i | ||||
\(593\) | −34.3719 | − | 16.5526i | −1.41148 | − | 0.679735i | −0.436029 | − | 0.899933i | \(-0.643615\pi\) |
−0.975455 | + | 0.220198i | \(0.929330\pi\) | |||||||
\(594\) | 37.6058 | − | 17.7505i | 1.54299 | − | 0.728312i | ||||
\(595\) | −20.3443 | − | 3.64439i | −0.834035 | − | 0.149406i | ||||
\(596\) | 23.4633 | − | 1.75833i | 0.961096 | − | 0.0720242i | ||||
\(597\) | −24.4642 | + | 8.14890i | −1.00125 | + | 0.333512i | ||||
\(598\) | 105.020 | + | 7.87019i | 4.29461 | + | 0.321836i | ||||
\(599\) | 19.8875 | − | 7.80527i | 0.812581 | − | 0.318915i | 0.0775847 | − | 0.996986i | \(-0.475279\pi\) |
0.734996 | + | 0.678071i | \(0.237184\pi\) | |||||||
\(600\) | 1.07606 | − | 20.4921i | 0.0439300 | − | 0.836585i | ||||
\(601\) | −2.90148 | + | 19.2501i | −0.118354 | + | 0.785227i | 0.848370 | + | 0.529404i | \(0.177584\pi\) |
−0.966724 | + | 0.255823i | \(0.917654\pi\) | |||||||
\(602\) | 8.51261 | + | 30.5747i | 0.346948 | + | 1.24613i | ||||
\(603\) | −14.5247 | − | 8.97975i | −0.591490 | − | 0.365684i | ||||
\(604\) | 6.15506 | − | 2.96412i | 0.250446 | − | 0.120608i | ||||
\(605\) | 1.93633 | − | 0.597277i | 0.0787228 | − | 0.0242828i | ||||
\(606\) | 17.7379 | + | 21.2510i | 0.720551 | + | 0.863262i | ||||
\(607\) | −16.9452 | − | 9.78331i | −0.687784 | − | 0.397092i | 0.114997 | − | 0.993366i | \(-0.463314\pi\) |
−0.802781 | + | 0.596273i | \(0.796647\pi\) | |||||||
\(608\) | 10.0290 | + | 9.30552i | 0.406728 | + | 0.377389i | ||||
\(609\) | −20.0985 | − | 35.2431i | −0.814430 | − | 1.42812i | ||||
\(610\) | −4.99510 | + | 4.63477i | −0.202246 | + | 0.187657i | ||||
\(611\) | 23.3823 | − | 5.33686i | 0.945947 | − | 0.215906i | ||||
\(612\) | 23.8553 | + | 14.7484i | 0.964295 | + | 0.596168i | ||||
\(613\) | 15.8933 | + | 19.9296i | 0.641926 | + | 0.804950i | 0.991242 | − | 0.132055i | \(-0.0421576\pi\) |
−0.349317 | + | 0.937005i | \(0.613586\pi\) | |||||||
\(614\) | 7.31783 | − | 6.78996i | 0.295324 | − | 0.274020i | ||||
\(615\) | −43.7281 | + | 18.2994i | −1.76329 | + | 0.737901i | ||||
\(616\) | −28.5055 | + | 12.7689i | −1.14852 | + | 0.514472i | ||||
\(617\) | −27.1909 | + | 29.3048i | −1.09466 | + | 1.17977i | −0.112127 | + | 0.993694i | \(0.535766\pi\) |
−0.982536 | + | 0.186072i | \(0.940424\pi\) | |||||||
\(618\) | −29.0475 | − | 10.6579i | −1.16846 | − | 0.428724i | ||||
\(619\) | −31.2465 | + | 18.0402i | −1.25590 | + | 0.725096i | −0.972275 | − | 0.233839i | \(-0.924871\pi\) |
−0.283627 | + | 0.958935i | \(0.591538\pi\) | |||||||
\(620\) | −48.0433 | − | 10.9656i | −1.92947 | − | 0.440388i | ||||
\(621\) | −18.6455 | − | 39.5019i | −0.748218 | − | 1.58516i | ||||
\(622\) | 62.0460 | − | 49.4800i | 2.48782 | − | 1.98397i | ||||
\(623\) | −29.4208 | + | 3.60557i | −1.17872 | + | 0.144454i | ||||
\(624\) | 5.42349 | + | 8.92716i | 0.217113 | + | 0.357372i | ||||
\(625\) | 22.2707 | + | 20.6642i | 0.890828 | + | 0.826567i | ||||
\(626\) | 1.97169 | + | 5.02379i | 0.0788046 | + | 0.200791i | ||||
\(627\) | −11.0454 | − | 15.4476i | −0.441110 | − | 0.616920i | ||||
\(628\) | 23.4466 | + | 9.20211i | 0.935621 | + | 0.367204i | ||||
\(629\) | −0.100848 | − | 0.0485659i | −0.00402108 | − | 0.00193645i | ||||
\(630\) | −7.12940 | + | 53.4581i | −0.284042 | + | 2.12982i | ||||
\(631\) | 25.5472 | − | 12.3029i | 1.01702 | − | 0.489769i | 0.150337 | − | 0.988635i | \(-0.451964\pi\) |
0.866679 | + | 0.498865i | \(0.166250\pi\) | |||||||
\(632\) | 34.1131 | − | 2.55642i | 1.35694 | − | 0.101689i | ||||
\(633\) | 21.1910 | + | 16.1383i | 0.842266 | + | 0.641440i | ||||
\(634\) | 4.33108 | − | 2.95288i | 0.172009 | − | 0.117274i | ||||
\(635\) | 19.5853 | + | 49.9025i | 0.777218 | + | 1.98032i | ||||
\(636\) | −1.05749 | − | 1.26693i | −0.0419321 | − | 0.0502370i | ||||
\(637\) | 27.9648 | + | 24.9513i | 1.10801 | + | 0.988606i | ||||
\(638\) | 70.8532i | 2.80511i | ||||||||
\(639\) | −6.41615 | − | 32.6098i | −0.253819 | − | 1.29003i | ||||
\(640\) | −25.3278 | + | 52.5938i | −1.00117 | + | 2.07895i | ||||
\(641\) | −8.68384 | − | 9.35896i | −0.342991 | − | 0.369657i | 0.537873 | − | 0.843026i | \(-0.319228\pi\) |
−0.880864 | + | 0.473369i | \(0.843038\pi\) | |||||||
\(642\) | −14.9306 | + | 52.5430i | −0.589266 | + | 2.07371i | ||||
\(643\) | −32.3279 | − | 2.42264i | −1.27489 | − | 0.0955397i | −0.579976 | − | 0.814634i | \(-0.696938\pi\) |
−0.694913 | + | 0.719094i | \(0.744557\pi\) | |||||||
\(644\) | 31.5974 | + | 70.5388i | 1.24511 | + | 2.77962i | ||||
\(645\) | −17.9558 | − | 18.5050i | −0.707008 | − | 0.728635i | ||||
\(646\) | 7.37215 | − | 18.7839i | 0.290053 | − | 0.739043i | ||||
\(647\) | 11.1003 | − | 5.34560i | 0.436396 | − | 0.210157i | −0.202769 | − | 0.979227i | \(-0.564994\pi\) |
0.639165 | + | 0.769069i | \(0.279280\pi\) | |||||||
\(648\) | 15.1397 | − | 27.1266i | 0.594745 | − | 1.06563i | ||||
\(649\) | −38.4090 | − | 8.76659i | −1.50768 | − | 0.344119i | ||||
\(650\) | 42.5192 | + | 6.40874i | 1.66774 | + | 0.251371i | ||||
\(651\) | 21.3485 | + | 6.70970i | 0.836713 | + | 0.262974i | ||||
\(652\) | 60.2498 | − | 9.08120i | 2.35957 | − | 0.355647i | ||||
\(653\) | −16.3296 | − | 1.22374i | −0.639028 | − | 0.0478885i | −0.248724 | − | 0.968574i | \(-0.580011\pi\) |
−0.390304 | + | 0.920686i | \(0.627630\pi\) | |||||||
\(654\) | −1.32201 | + | 25.1758i | −0.0516946 | + | 0.984451i | ||||
\(655\) | 18.5150 | + | 32.0689i | 0.723441 | + | 1.25304i | ||||
\(656\) | −10.6159 | −0.414483 | ||||||||
\(657\) | −6.32600 | − | 8.44221i | −0.246801 | − | 0.329362i | ||||
\(658\) | 18.2933 | + | 20.8430i | 0.713148 | + | 0.812543i | ||||
\(659\) | 18.4147 | + | 19.8463i | 0.717335 | + | 0.773103i | 0.981518 | − | 0.191369i | \(-0.0612928\pi\) |
−0.264183 | + | 0.964473i | \(0.585102\pi\) | |||||||
\(660\) | 36.2194 | − | 47.5592i | 1.40984 | − | 1.85124i | ||||
\(661\) | 1.83820 | + | 12.1957i | 0.0714979 | + | 0.474357i | 0.995714 | + | 0.0924872i | \(0.0294817\pi\) |
−0.924216 | + | 0.381870i | \(0.875280\pi\) | |||||||
\(662\) | 8.02688 | + | 53.2548i | 0.311973 | + | 2.06981i | ||||
\(663\) | −15.1147 | + | 19.8469i | −0.587005 | + | 0.770789i | ||||
\(664\) | 1.14788 | + | 1.23712i | 0.0445463 | + | 0.0480095i | ||||
\(665\) | 24.6013 | − | 1.16066i | 0.953996 | − | 0.0450084i | ||||
\(666\) | −0.114849 | + | 0.268550i | −0.00445032 | + | 0.0104061i | ||||
\(667\) | 74.4256 | 2.88177 | ||||||||
\(668\) | −1.52483 | − | 2.64108i | −0.0589973 | − | 0.102186i | ||||
\(669\) | 0.908645 | − | 17.3039i | 0.0351302 | − | 0.669006i | ||||
\(670\) | −38.5682 | − | 2.89029i | −1.49002 | − | 0.111662i | ||||
\(671\) | −3.39166 | + | 0.511210i | −0.130934 | + | 0.0197351i | ||||
\(672\) | 9.86869 | − | 16.8850i | 0.380693 | − | 0.651354i | ||||
\(673\) | 30.8198 | + | 4.64534i | 1.18802 | + | 0.179065i | 0.713162 | − | 0.701000i | \(-0.247263\pi\) |
0.474855 | + | 0.880064i | \(0.342501\pi\) | |||||||
\(674\) | 44.8309 | + | 10.2324i | 1.72682 | + | 0.394136i | ||||
\(675\) | −6.38628 | − | 16.6522i | −0.245808 | − | 0.640944i | ||||
\(676\) | −49.0481 | + | 23.6203i | −1.88646 | + | 0.908474i | ||||
\(677\) | −6.73950 | + | 17.1720i | −0.259020 | + | 0.659972i | −0.999932 | − | 0.0116295i | \(-0.996298\pi\) |
0.740912 | + | 0.671602i | \(0.234393\pi\) | |||||||
\(678\) | 10.2911 | + | 10.6059i | 0.395228 | + | 0.407317i | ||||
\(679\) | 0.446384 | − | 16.1365i | 0.0171306 | − | 0.619261i | ||||
\(680\) | 26.8889 | + | 2.01504i | 1.03114 | + | 0.0772733i | ||||
\(681\) | −4.23562 | + | 14.9057i | −0.162309 | + | 0.571189i | ||||
\(682\) | −26.5817 | − | 28.6483i | −1.01787 | − | 1.09700i | ||||
\(683\) | −18.1451 | + | 37.6787i | −0.694303 | + | 1.44173i | 0.193307 | + | 0.981138i | \(0.438079\pi\) |
−0.887610 | + | 0.460596i | \(0.847636\pi\) | |||||||
\(684\) | −31.6245 | − | 10.8084i | −1.20919 | − | 0.413268i | ||||
\(685\) | 6.03149i | 0.230451i | ||||||||
\(686\) | −9.98786 | + | 42.1690i | −0.381338 | + | 1.61002i | ||||
\(687\) | −14.6350 | − | 17.5335i | −0.558359 | − | 0.668945i | ||||
\(688\) | −2.10967 | − | 5.37536i | −0.0804306 | − | 0.204934i | ||||
\(689\) | 1.21284 | − | 0.826900i | 0.0462055 | − | 0.0315024i | ||||
\(690\) | −78.7082 | − | 59.9414i | −2.99637 | − | 2.28193i | ||||
\(691\) | 3.54602 | − | 0.265737i | 0.134897 | − | 0.0101091i | −0.00711049 | − | 0.999975i | \(-0.502263\pi\) |
0.142007 | + | 0.989866i | \(0.454644\pi\) | |||||||
\(692\) | 16.3223 | − | 7.86041i | 0.620481 | − | 0.298808i | ||||
\(693\) | −18.1234 | + | 20.2115i | −0.688450 | + | 0.767772i | ||||
\(694\) | −0.692544 | − | 0.333512i | −0.0262886 | − | 0.0126599i | ||||
\(695\) | −11.9131 | − | 4.67553i | −0.451888 | − | 0.177353i | ||||
\(696\) | 30.7861 | + | 43.0563i | 1.16694 | + | 1.63205i | ||||
\(697\) | −9.26288 | − | 23.6014i | −0.350857 | − | 0.893968i | ||||
\(698\) | −48.4947 | − | 44.9965i | −1.83555 | − | 1.70314i | ||||
\(699\) | 16.2154 | + | 26.6908i | 0.613323 | + | 1.00954i | ||||
\(700\) | 10.7127 | + | 29.6841i | 0.404902 | + | 1.12196i | ||||
\(701\) | −0.0785064 | + | 0.0626068i | −0.00296515 | + | 0.00236462i | −0.624971 | − | 0.780648i | \(-0.714889\pi\) |
0.622006 | + | 0.783012i | \(0.286318\pi\) | |||||||
\(702\) | 53.4981 | + | 37.0880i | 2.01915 | + | 1.39980i | ||||
\(703\) | 0.130038 | + | 0.0296803i | 0.00490447 | + | 0.00111941i | ||||
\(704\) | −36.2518 | + | 20.9300i | −1.36629 | + | 0.788828i | ||||
\(705\) | −21.1517 | − | 7.76083i | −0.796618 | − | 0.292290i | ||||
\(706\) | −10.4024 | + | 11.2112i | −0.391501 | + | 0.421937i | ||||
\(707\) | −16.0580 | − | 8.28773i | −0.603922 | − | 0.311692i | ||||
\(708\) | −63.9588 | + | 26.7655i | −2.40372 | + | 1.00591i | ||||
\(709\) | 16.7476 | − | 15.5395i | 0.628970 | − | 0.583599i | −0.299916 | − | 0.953966i | \(-0.596959\pi\) |
0.928885 | + | 0.370367i | \(0.120768\pi\) | |||||||
\(710\) | −46.9328 | − | 58.8518i | −1.76136 | − | 2.20867i | ||||
\(711\) | 26.1846 | − | 14.0836i | 0.982001 | − | 0.528176i | ||||
\(712\) | 37.7008 | − | 8.60497i | 1.41290 | − | 0.322485i | ||||
\(713\) | −30.0927 | + | 27.9220i | −1.12698 | + | 1.04569i | ||||
\(714\) | −28.5006 | − | 4.45095i | −1.06661 | − | 0.166573i | ||||
\(715\) | 38.9797 | + | 36.1679i | 1.45776 | + | 1.35260i | ||||
\(716\) | −24.9542 | − | 14.4073i | −0.932583 | − | 0.538427i | ||||
\(717\) | 15.7922 | + | 18.9199i | 0.589769 | + | 0.706577i | ||||
\(718\) | 34.2846 | − | 10.5754i | 1.27949 | − | 0.394670i | ||||
\(719\) | 13.1001 | − | 6.30869i | 0.488552 | − | 0.235274i | −0.173356 | − | 0.984859i | \(-0.555461\pi\) |
0.661908 | + | 0.749585i | \(0.269747\pi\) | |||||||
\(720\) | 0.295570 | − | 9.80817i | 0.0110153 | − | 0.365529i | ||||
\(721\) | 20.1764 | − | 0.951895i | 0.751407 | − | 0.0354504i | ||||
\(722\) | 3.04235 | − | 20.1847i | 0.113225 | − | 0.751196i | ||||
\(723\) | 1.88145 | − | 35.8295i | 0.0699718 | − | 1.33251i | ||||
\(724\) | 4.94073 | − | 1.93909i | 0.183621 | − | 0.0720658i | ||||
\(725\) | 30.3026 | + | 2.27086i | 1.12541 | + | 0.0843378i | ||||
\(726\) | 2.68320 | − | 0.893759i | 0.0995827 | − | 0.0331705i | ||||
\(727\) | 16.0129 | − | 1.20000i | 0.593885 | − | 0.0445055i | 0.225603 | − | 0.974219i | \(-0.427565\pi\) |
0.368283 | + | 0.929714i | \(0.379946\pi\) | |||||||
\(728\) | −39.6217 | − | 28.6500i | −1.46848 | − | 1.06184i | ||||
\(729\) | 2.43689 | − | 26.8898i | 0.0902551 | − | 0.995919i | ||||
\(730\) | −21.5272 | − | 10.3669i | −0.796756 | − | 0.383697i | ||||
\(731\) | 10.1098 | − | 9.38048i | 0.373923 | − | 0.346950i | ||||
\(732\) | −4.33213 | + | 4.20355i | −0.160120 | + | 0.155368i | ||||
\(733\) | −2.50860 | + | 0.984551i | −0.0926571 | + | 0.0363652i | −0.411217 | − | 0.911538i | \(-0.634896\pi\) |
0.318560 | + | 0.947903i | \(0.396801\pi\) | |||||||
\(734\) | −33.8725 | + | 58.6689i | −1.25026 | + | 2.16551i | ||||
\(735\) | −9.26269 | − | 33.9669i | −0.341660 | − | 1.25289i | ||||
\(736\) | 17.9385 | + | 31.0704i | 0.661223 | + | 1.14527i | ||||
\(737\) | −15.2209 | − | 12.1382i | −0.560668 | − | 0.447118i | ||||
\(738\) | −60.4447 | + | 26.8968i | −2.22500 | + | 0.990084i | ||||
\(739\) | 2.46825 | + | 10.8141i | 0.0907961 | + | 0.397804i | 0.999821 | − | 0.0189388i | \(-0.00602876\pi\) |
−0.909025 | + | 0.416743i | \(0.863172\pi\) | |||||||
\(740\) | 0.0313778 | + | 0.418707i | 0.00115347 | + | 0.0153920i | ||||
\(741\) | 12.2968 | − | 27.0648i | 0.451734 | − | 0.994252i | ||||
\(742\) | 1.50829 | + | 0.778451i | 0.0553712 | + | 0.0285778i | ||||
\(743\) | −4.64994 | − | 6.82022i | −0.170590 | − | 0.250209i | 0.731418 | − | 0.681930i | \(-0.238859\pi\) |
−0.902007 | + | 0.431720i | \(0.857907\pi\) | |||||||
\(744\) | −28.6011 | − | 5.85917i | −1.04857 | − | 0.214808i | ||||
\(745\) | 11.0754 | − | 16.2447i | 0.405772 | − | 0.595158i | ||||
\(746\) | −22.7324 | − | 18.1285i | −0.832293 | − | 0.663732i | ||||
\(747\) | 1.34862 | + | 0.576755i | 0.0493433 | + | 0.0211024i | ||||
\(748\) | 24.9988 | + | 19.9359i | 0.914046 | + | 0.728928i | ||||
\(749\) | −4.33760 | − | 35.3941i | −0.158493 | − | 1.29327i | ||||
\(750\) | 13.8016 | + | 12.2438i | 0.503962 | + | 0.447082i | ||||
\(751\) | 0.519116 | − | 6.92712i | 0.0189428 | − | 0.252774i | −0.979691 | − | 0.200515i | \(-0.935739\pi\) |
0.998634 | − | 0.0522596i | \(-0.0166423\pi\) | |||||||
\(752\) | −3.69881 | − | 3.43199i | −0.134882 | − | 0.125152i | ||||
\(753\) | 17.4529 | + | 6.40369i | 0.636018 | + | 0.233363i | ||||
\(754\) | −96.0541 | + | 55.4568i | −3.49808 | + | 2.01962i | ||||
\(755\) | 1.27026 | − | 5.56537i | 0.0462295 | − | 0.202545i | ||||
\(756\) | −5.25634 | + | 47.4855i | −0.191171 | + | 1.72703i | ||||
\(757\) | 0.290071 | + | 1.27088i | 0.0105428 | + | 0.0461910i | 0.979926 | − | 0.199363i | \(-0.0638873\pi\) |
−0.969383 | + | 0.245554i | \(0.921030\pi\) | |||||||
\(758\) | −16.5717 | − | 17.8601i | −0.601912 | − | 0.648707i | ||||
\(759\) | −15.7379 | − | 47.2475i | −0.571250 | − | 1.71498i | ||||
\(760\) | −31.7723 | + | 4.78891i | −1.15250 | + | 0.173712i | ||||
\(761\) | −13.3830 | − | 4.12810i | −0.485132 | − | 0.149643i | 0.0425346 | − | 0.999095i | \(-0.486457\pi\) |
−0.527667 | + | 0.849452i | \(0.676933\pi\) | |||||||
\(762\) | 28.8835 | + | 69.0199i | 1.04634 | + | 2.50033i | ||||
\(763\) | −5.58676 | − | 15.4805i | −0.202254 | − | 0.560432i | ||||
\(764\) | 73.0131 | + | 16.6648i | 2.64152 | + | 0.602910i | ||||
\(765\) | 22.0635 | − | 7.90094i | 0.797706 | − | 0.285659i | ||||
\(766\) | − | 70.7616i | − | 2.55672i | ||||||
\(767\) | −18.1780 | − | 58.9318i | −0.656371 | − | 2.12790i | ||||
\(768\) | −16.1635 | + | 35.5753i | −0.583250 | + | 1.28371i | ||||
\(769\) | 0.145296 | + | 0.963977i | 0.00523951 | + | 0.0347619i | 0.991298 | − | 0.131638i | \(-0.0420237\pi\) |
−0.986058 | + | 0.166400i | \(0.946786\pi\) | |||||||
\(770\) | −15.3342 | + | 59.5427i | −0.552606 | + | 2.14577i | ||||
\(771\) | −0.357902 | − | 16.0202i | −0.0128895 | − | 0.576954i | ||||
\(772\) | −28.3277 | + | 8.73794i | −1.01954 | + | 0.314485i | ||||
\(773\) | 3.14865 | − | 3.94828i | 0.113249 | − | 0.142010i | −0.721976 | − | 0.691918i | \(-0.756766\pi\) |
0.835225 | + | 0.549908i | \(0.185337\pi\) | |||||||
\(774\) | −25.6311 | − | 25.2609i | −0.921291 | − | 0.907985i | ||||
\(775\) | −13.1043 | + | 10.4503i | −0.470720 | + | 0.375386i | ||||
\(776\) | 1.57383 | + | 21.0013i | 0.0564971 | + | 0.753901i | ||||
\(777\) | 0.00101421 | − | 0.190670i | 3.63844e−5 | − | 0.00684025i | ||||
\(778\) | 3.71744 | − | 49.6058i | 0.133277 | − | 1.77845i | ||||
\(779\) | 17.0193 | + | 24.9627i | 0.609780 | + | 0.894383i | ||||
\(780\) | 92.8239 | + | 11.8772i | 3.32363 | + | 0.425273i | ||||
\(781\) | −2.83154 | − | 37.7843i | −0.101321 | − | 1.35203i | ||||
\(782\) | 32.9929 | − | 41.3718i | 1.17982 | − | 1.47945i | ||||
\(783\) | 39.6598 | + | 23.3114i | 1.41733 | + | 0.833080i | ||||
\(784\) | 1.02301 | − | 7.81811i | 0.0365360 | − | 0.279218i | ||||
\(785\) | 18.2272 | − | 10.5235i | 0.650555 | − | 0.375598i | ||||
\(786\) | 26.8342 | + | 44.1696i | 0.957145 | + | 1.57548i | ||||
\(787\) | −16.7063 | − | 24.5036i | −0.595515 | − | 0.873460i | 0.403625 | − | 0.914924i | \(-0.367750\pi\) |
−0.999140 | + | 0.0414646i | \(0.986798\pi\) | |||||||
\(788\) | 18.1395 | − | 58.8068i | 0.646192 | − | 2.09490i | ||||
\(789\) | 17.1263 | + | 4.86662i | 0.609714 | + | 0.173256i | ||||
\(790\) | 37.9339 | − | 55.6388i | 1.34963 | − | 1.97954i | ||||
\(791\) | −8.87958 | − | 3.77156i | −0.315722 | − | 0.134101i | ||||
\(792\) | 20.8234 | − | 28.6485i | 0.739927 | − | 1.01798i | ||||
\(793\) | −3.34769 | − | 4.19787i | −0.118880 | − | 0.149071i | ||||
\(794\) | 28.4836 | + | 19.4198i | 1.01085 | + | 0.689183i | ||||
\(795\) | −1.37862 | + | 0.0307993i | −0.0488947 | + | 0.00109234i | ||||
\(796\) | −35.1893 | + | 37.9251i | −1.24725 | + | 1.34422i | ||||
\(797\) | 3.83392 | + | 9.76868i | 0.135805 | + | 0.346024i | 0.982557 | − | 0.185963i | \(-0.0595405\pi\) |
−0.846752 | + | 0.531988i | \(0.821445\pi\) | |||||||
\(798\) | 34.2907 | − | 2.38639i | 1.21388 | − | 0.0844771i | ||||
\(799\) | 4.40265 | − | 11.2178i | 0.155755 | − | 0.396856i | ||||
\(800\) | 6.35570 | + | 13.1978i | 0.224708 | + | 0.466611i | ||||
\(801\) | 26.8963 | − | 20.1542i | 0.950335 | − | 0.712115i | ||||
\(802\) | 59.5516 | 2.10284 | ||||||||
\(803\) | −6.01350 | − | 10.4157i | −0.212212 | − | 0.367562i | ||||
\(804\) | −34.2145 | − | 1.79664i | −1.20665 | − | 0.0633627i | ||||
\(805\) | 62.5449 | + | 16.1073i | 2.20442 | + | 0.567709i | ||||
\(806\) | 18.0323 | − | 58.4592i | 0.635160 | − | 2.05914i | ||||
\(807\) | −2.90830 | + | 22.7292i | −0.102377 | + | 0.800106i | ||||
\(808\) | 21.9457 | + | 8.61304i | 0.772046 | + | 0.303006i | ||||
\(809\) | −25.9799 | + | 20.7183i | −0.913404 | + | 0.728415i | −0.962758 | − | 0.270366i | \(-0.912855\pi\) |
0.0493538 | + | 0.998781i | \(0.484284\pi\) | |||||||
\(810\) | −23.1673 | − | 56.5942i | −0.814014 | − | 1.98852i | ||||
\(811\) | 35.7440 | − | 8.15833i | 1.25514 | − | 0.286478i | 0.457282 | − | 0.889322i | \(-0.348823\pi\) |
0.797859 | + | 0.602844i | \(0.205966\pi\) | |||||||
\(812\) | −69.3433 | − | 42.6345i | −2.43347 | − | 1.49618i | ||||
\(813\) | −19.7606 | − | 12.8356i | −0.693034 | − | 0.450163i | ||||
\(814\) | −0.166494 | + | 0.288377i | −0.00583563 | + | 0.0101076i | ||||
\(815\) | 25.4568 | − | 44.0924i | 0.891711 | − | 1.54449i | ||||
\(816\) | 5.24122 | + | 0.275222i | 0.183479 | + | 0.00963470i | ||||
\(817\) | −9.25763 | + | 13.5784i | −0.323883 | + | 0.475050i | ||||
\(818\) | 35.2817 | + | 44.2419i | 1.23360 | + | 1.54688i | ||||
\(819\) | −41.5855 | − | 8.74986i | −1.45311 | − | 0.305745i | ||||
\(820\) | −59.2987 | + | 74.3583i | −2.07080 | + | 2.59670i | ||||
\(821\) | 11.0651 | + | 35.8721i | 0.386174 | + | 1.25195i | 0.915083 | + | 0.403266i | \(0.132125\pi\) |
−0.528909 | + | 0.848679i | \(0.677399\pi\) | |||||||
\(822\) | 0.188017 | + | 8.41592i | 0.00655784 | + | 0.293539i | ||||
\(823\) | 3.03372 | − | 40.4822i | 0.105749 | − | 1.41112i | −0.651825 | − | 0.758370i | \(-0.725996\pi\) |
0.757574 | − | 0.652750i | \(-0.226385\pi\) | |||||||
\(824\) | −26.0576 | + | 3.92755i | −0.907759 | + | 0.136823i | ||||
\(825\) | −4.96612 | − | 19.7171i | −0.172898 | − | 0.686463i | ||||
\(826\) | 49.9306 | − | 50.9132i | 1.73731 | − | 1.77150i | ||||
\(827\) | −17.4564 | − | 36.2485i | −0.607017 | − | 1.26048i | −0.947356 | − | 0.320182i | \(-0.896256\pi\) |
0.340339 | − | 0.940303i | \(-0.389458\pi\) | |||||||
\(828\) | −70.8927 | − | 51.5289i | −2.46369 | − | 1.79075i | ||||
\(829\) | 39.9229 | − | 9.11214i | 1.38658 | − | 0.316478i | 0.536842 | − | 0.843683i | \(-0.319617\pi\) |
0.849738 | + | 0.527205i | \(0.176760\pi\) | |||||||
\(830\) | 3.31281 | − | 0.248261i | 0.114989 | − | 0.00861725i | ||||
\(831\) | −20.1784 | − | 11.0566i | −0.699980 | − | 0.383548i | ||||
\(832\) | −56.7486 | − | 32.7638i | −1.96740 | − | 1.13588i | ||||
\(833\) | 18.2739 | − | 4.54729i | 0.633153 | − | 0.157554i | ||||
\(834\) | −16.7684 | − | 6.15256i | −0.580643 | − | 0.213046i | ||||
\(835\) | −2.51983 | − | 0.379804i | −0.0872024 | − | 0.0131437i | ||||
\(836\) | −34.3285 | − | 16.5317i | −1.18727 | − | 0.571761i | ||||
\(837\) | −24.7814 | + | 5.45347i | −0.856570 | + | 0.188499i | ||||
\(838\) | −33.8110 | + | 70.2093i | −1.16798 | + | 2.42534i | ||||
\(839\) | −26.6878 | − | 18.1954i | −0.921364 | − | 0.628175i | 0.00694850 | − | 0.999976i | \(-0.497788\pi\) |
−0.928313 | + | 0.371800i | \(0.878741\pi\) | |||||||
\(840\) | 16.5533 | + | 42.8459i | 0.571144 | + | 1.47832i | ||||
\(841\) | −40.8015 | + | 27.8180i | −1.40695 | + | 0.959242i | ||||
\(842\) | 11.9527 | + | 79.3012i | 0.411918 | + | 2.73290i | ||||
\(843\) | −20.7950 | + | 14.8688i | −0.716216 | + | 0.512109i | ||||
\(844\) | 52.8460 | + | 7.96526i | 1.81904 | + | 0.274176i | ||||
\(845\) | −10.1224 | + | 44.3490i | −0.348220 | + | 1.52565i | ||||
\(846\) | −29.7555 | − | 10.1696i | −1.02301 | − | 0.349637i | ||||
\(847\) | −1.38760 | + | 1.21786i | −0.0476786 | + | 0.0418463i | ||||
\(848\) | −0.287475 | − | 0.112826i | −0.00987195 | − | 0.00387445i | ||||
\(849\) | −1.63107 | − | 0.741070i | −0.0559782 | − | 0.0254335i | ||||
\(850\) | 14.6955 | − | 15.8380i | 0.504051 | − | 0.543237i | ||||
\(851\) | 0.302917 | + | 0.174889i | 0.0103839 | + | 0.00599512i | ||||
\(852\) | −42.7297 | − | 51.1927i | −1.46390 | − | 1.75383i | ||||
\(853\) | −0.970562 | − | 3.14649i | −0.0332314 | − | 0.107734i | 0.937438 | − | 0.348153i | \(-0.113191\pi\) |
−0.970669 | + | 0.240420i | \(0.922715\pi\) | |||||||
\(854\) | 2.42716 | − | 5.71438i | 0.0830556 | − | 0.195542i | ||||
\(855\) | −23.5371 | + | 15.0293i | −0.804953 | + | 0.513990i | ||||
\(856\) | 10.3520 | + | 45.3552i | 0.353825 | + | 1.55021i | ||||
\(857\) | −11.2472 | + | 28.6574i | −0.384197 | + | 0.978917i | 0.599707 | + | 0.800219i | \(0.295284\pi\) |
−0.983904 | + | 0.178698i | \(0.942812\pi\) | |||||||
\(858\) | 55.5170 | + | 49.2511i | 1.89532 | + | 1.68140i | ||||
\(859\) | −10.8635 | + | 35.2187i | −0.370658 | + | 1.20164i | 0.557727 | + | 0.830025i | \(0.311674\pi\) |
−0.928385 | + | 0.371620i | \(0.878802\pi\) | |||||||
\(860\) | −49.4354 | − | 15.2488i | −1.68573 | − | 0.519980i | ||||
\(861\) | 29.5443 | − | 31.5034i | 1.00687 | − | 1.07363i | ||||
\(862\) | 22.4567 | − | 6.92699i | 0.764880 | − | 0.235934i | ||||
\(863\) | − | 16.6862i | − | 0.568005i | −0.958824 | − | 0.284002i | \(-0.908338\pi\) | ||
0.958824 | − | 0.284002i | \(-0.0916623\pi\) | |||||||
\(864\) | −0.172731 | + | 22.1754i | −0.00587641 | + | 0.754423i | ||||
\(865\) | 3.36854 | − | 14.7585i | 0.114534 | − | 0.501806i | ||||
\(866\) | 27.3422 | + | 18.6416i | 0.929127 | + | 0.633468i | ||||
\(867\) | −5.34398 | − | 16.0434i | −0.181491 | − | 0.544862i | ||||
\(868\) | 44.0328 | − | 8.77670i | 1.49457 | − | 0.297901i | ||||
\(869\) | 31.5532 | − | 12.3837i | 1.07037 | − | 0.420089i | ||||
\(870\) | 104.050 | + | 5.46379i | 3.52763 | + | 0.185240i | ||||
\(871\) | 4.54215 | − | 30.1352i | 0.153905 | − | 1.02109i | ||||
\(872\) | 9.31604 | + | 19.3450i | 0.315481 | + | 0.655103i | ||||
\(873\) | 8.67038 | + | 16.1202i | 0.293448 | + | 0.545587i | ||||
\(874\) | −27.3592 | + | 56.8119i | −0.925438 | + | 1.92169i | ||||
\(875\) | −11.4066 | − | 3.86702i | −0.385615 | − | 0.130729i | ||||
\(876\) | −19.2703 | − | 8.75539i | −0.651084 | − | 0.295817i | ||||
\(877\) | −8.29226 | + | 5.65357i | −0.280010 | + | 0.190907i | −0.695179 | − | 0.718837i | \(-0.744675\pi\) |
0.415169 | + | 0.909744i | \(0.363722\pi\) | |||||||
\(878\) | −48.8139 | − | 15.0571i | −1.64739 | − | 0.508152i | ||||
\(879\) | −28.5431 | + | 7.18911i | −0.962736 | + | 0.242483i | ||||
\(880\) | 1.66735 | − | 11.0621i | 0.0562062 | − | 0.372904i | ||||
\(881\) | 34.4967 | 1.16222 | 0.581111 | − | 0.813824i | \(-0.302618\pi\) | ||||
0.581111 | + | 0.813824i | \(0.302618\pi\) | |||||||
\(882\) | −13.9834 | − | 47.1064i | −0.470844 | − | 1.58615i | ||||
\(883\) | −9.79133 | −0.329504 | −0.164752 | − | 0.986335i | \(-0.552682\pi\) | ||||
−0.164752 | + | 0.986335i | \(0.552682\pi\) | |||||||
\(884\) | −7.46004 | + | 49.4941i | −0.250908 | + | 1.66467i | ||||
\(885\) | −15.8359 | + | 55.7288i | −0.532318 | + | 1.87330i | ||||
\(886\) | 80.8977 | + | 24.9536i | 2.71781 | + | 0.838334i | ||||
\(887\) | 14.8102 | − | 10.0975i | 0.497279 | − | 0.339039i | −0.288568 | − | 0.957459i | \(-0.593179\pi\) |
0.785848 | + | 0.618420i | \(0.212227\pi\) | |||||||
\(888\) | 0.0241255 | + | 0.247585i | 0.000809598 | + | 0.00830840i | ||||
\(889\) | −34.8725 | − | 34.1994i | −1.16959 | − | 1.14701i | ||||
\(890\) | 33.0284 | − | 68.5841i | 1.10711 | − | 2.29895i | ||||
\(891\) | 6.41232 | − | 30.1066i | 0.214821 | − | 1.00861i | ||||
\(892\) | −15.0844 | − | 31.3231i | −0.505063 | − | 1.04877i | ||||
\(893\) | −2.14025 | + | 14.1996i | −0.0716207 | + | 0.475172i | ||||
\(894\) | 14.9475 | − | 23.0119i | 0.499919 | − | 0.769634i | ||||
\(895\) | −22.4132 | + | 8.79652i | −0.749190 | + | 0.294035i | ||||
\(896\) | 1.47073 | − | 53.1660i | 0.0491338 | − | 1.77615i | ||||
\(897\) | 51.7343 | − | 58.3162i | 1.72736 | − | 1.94712i | ||||
\(898\) | −10.0214 | − | 6.83247i | −0.334418 | − | 0.228002i | ||||
\(899\) | 9.62039 | − | 42.1497i | 0.320858 | − | 1.40577i | ||||
\(900\) | −27.2919 | − | 23.1432i | −0.909731 | − | 0.771440i | ||||
\(901\) | − | 0.737563i | − | 0.0245718i | ||||||
\(902\) | −72.0747 | + | 22.2321i | −2.39983 | + | 0.740248i | ||||
\(903\) | 21.8229 | + | 8.69911i | 0.726222 | + | 0.289488i | ||||
\(904\) | 12.0271 | + | 3.70986i | 0.400014 | + | 0.123388i | ||||
\(905\) | 1.30726 | − | 4.23802i | 0.0434547 | − | 0.140877i | ||||
\(906\) | 1.59895 | − | 7.80513i | 0.0531214 | − | 0.259308i | ||||
\(907\) | 12.4317 | − | 31.6756i | 0.412789 | − | 1.05177i | −0.561701 | − | 0.827340i | \(-0.689853\pi\) |
0.974490 | − | 0.224430i | \(-0.0720519\pi\) | |||||||
\(908\) | 6.91831 | + | 30.3111i | 0.229592 | + | 1.00591i | ||||
\(909\) | 20.4696 | − | 0.915065i | 0.678935 | − | 0.0303508i | ||||
\(910\) | −92.7228 | + | 25.8159i | −3.07373 | + | 0.855789i | ||||
\(911\) | 9.79140 | + | 31.7429i | 0.324404 | + | 1.05169i | 0.960078 | + | 0.279733i | \(0.0902460\pi\) |
−0.635674 | + | 0.771957i | \(0.719278\pi\) | |||||||
\(912\) | −6.16194 | + | 1.07003i | −0.204042 | + | 0.0354322i | ||||
\(913\) | 1.44818 | + | 0.836109i | 0.0479279 | + | 0.0276712i | ||||
\(914\) | 18.1707 | − | 19.5834i | 0.601035 | − | 0.647761i | ||||
\(915\) | 0.489184 | + | 5.02018i | 0.0161719 | + | 0.165962i | ||||
\(916\) | −42.6556 | − | 16.7411i | −1.40938 | − | 0.553141i | ||||
\(917\) | −27.3401 | − | 19.7693i | −0.902849 | − | 0.652840i | ||||
\(918\) | 30.5395 | − | 11.7122i | 1.00796 | − | 0.386560i | ||||
\(919\) | 0.663033 | − | 2.90494i | 0.0218715 | − | 0.0958251i | −0.962814 | − | 0.270165i | \(-0.912922\pi\) |
0.984686 | + | 0.174340i | \(0.0557790\pi\) | |||||||
\(920\) | −83.3192 | − | 12.5583i | −2.74695 | − | 0.414036i | ||||
\(921\) | −0.716656 | − | 7.35458i | −0.0236146 | − | 0.242342i | ||||
\(922\) | 6.40388 | + | 42.4870i | 0.210900 | + | 1.39923i | ||||
\(923\) | 49.0071 | − | 33.4125i | 1.61309 | − | 1.09978i | ||||
\(924\) | −12.4024 | + | 53.0365i | −0.408009 | + | 1.74477i | ||||
\(925\) | 0.117997 | + | 0.0804491i | 0.00387972 | + | 0.00264515i | ||||
\(926\) | 31.1143 | − | 64.6095i | 1.02248 | − | 2.12320i | ||||
\(927\) | −19.3036 | + | 12.3260i | −0.634014 | + | 0.404839i | ||||
\(928\) | −34.0425 | − | 16.3940i | −1.11750 | − | 0.538160i | ||||
\(929\) | −32.5218 | − | 4.90188i | −1.06701 | − | 0.160825i | −0.408015 | − | 0.912975i | \(-0.633779\pi\) |
−0.658992 | + | 0.752150i | \(0.729017\pi\) | |||||||
\(930\) | −44.1208 | + | 36.8269i | −1.44678 | + | 1.20760i | ||||
\(931\) | −20.0239 | + | 10.1283i | −0.656256 | + | 0.331942i | ||||
\(932\) | 54.2653 | + | 31.3301i | 1.77752 | + | 1.02625i | ||||
\(933\) | −1.31205 | − | 58.7292i | −0.0429545 | − | 1.92271i | ||||
\(934\) | −41.9210 | + | 3.14155i | −1.37170 | + | 0.102795i | ||||
\(935\) | 26.0482 | − | 5.94533i | 0.851867 | − | 0.194433i | ||||
\(936\) | 55.1366 | + | 5.80658i | 1.80220 | + | 0.189794i | ||||
\(937\) | −19.3759 | − | 40.2344i | −0.632982 | − | 1.31440i | −0.932796 | − | 0.360404i | \(-0.882639\pi\) |
0.299814 | − | 0.953998i | \(-0.403075\pi\) | |||||||
\(938\) | 33.1463 | − | 11.9622i | 1.08227 | − | 0.390579i | ||||
\(939\) | 3.84274 | + | 1.09195i | 0.125403 | + | 0.0356346i | ||||
\(940\) | −44.6999 | + | 6.73742i | −1.45795 | + | 0.219751i | ||||
\(941\) | 0.544838 | − | 7.27035i | 0.0177612 | − | 0.237007i | −0.981257 | − | 0.192704i | \(-0.938274\pi\) |
0.999018 | − | 0.0443028i | \(-0.0141066\pi\) | |||||||
\(942\) | 25.1049 | − | 15.2519i | 0.817961 | − | 0.496933i | ||||
\(943\) | 23.3530 | + | 75.7087i | 0.760480 | + | 2.46541i | ||||
\(944\) | −8.08960 | + | 10.1440i | −0.263294 | + | 0.330160i | ||||
\(945\) | 28.2837 | + | 28.1734i | 0.920070 | + | 0.916479i | ||||
\(946\) | −25.5804 | − | 32.0768i | −0.831689 | − | 1.04291i | ||||
\(947\) | 8.40633 | − | 12.3298i | 0.273169 | − | 0.400665i | −0.665000 | − | 0.746844i | \(-0.731568\pi\) |
0.938169 | + | 0.346178i | \(0.112521\pi\) | |||||||
\(948\) | 32.4948 | − | 50.0262i | 1.05538 | − | 1.62478i | ||||
\(949\) | 9.41355 | − | 16.3047i | 0.305577 | − | 0.529274i | ||||
\(950\) | −12.8728 | + | 22.2963i | −0.417649 | + | 0.723389i | ||||
\(951\) | 0.203473 | − | 3.87485i | 0.00659806 | − | 0.125651i | ||||
\(952\) | −23.1089 | + | 8.33975i | −0.748963 | + | 0.270293i | ||||
\(953\) | −0.0868031 | + | 0.0198122i | −0.00281183 | + | 0.000641781i | −0.223927 | − | 0.974606i | \(-0.571888\pi\) |
0.221115 | + | 0.975248i | \(0.429030\pi\) | |||||||
\(954\) | −1.92267 | + | 0.0859503i | −0.0622489 | + | 0.00278275i | ||||
\(955\) | 48.9261 | − | 39.0173i | 1.58321 | − | 1.26257i | ||||
\(956\) | 46.0284 | + | 18.0648i | 1.48866 | + | 0.584258i | ||||
\(957\) | 41.7250 | + | 31.7763i | 1.34878 | + | 1.02718i | ||||
\(958\) | 23.4475 | − | 76.0151i | 0.757556 | − | 2.45594i | ||||
\(959\) | −2.24655 | − | 5.01524i | −0.0725447 | − | 0.161950i | ||||
\(960\) | 27.9408 | + | 54.8509i | 0.901787 | + | 1.77031i | ||||
\(961\) | −3.57671 | − | 6.19504i | −0.115378 | − | 0.199840i | ||||
\(962\) | −0.521261 | −0.0168061 | ||||||||
\(963\) | 24.2461 | + | 32.3571i | 0.781321 | + | 1.04269i | ||||
\(964\) | −31.2339 | − | 64.8578i | −1.00598 | − | 2.08893i | ||||
\(965\) | −9.04993 | + | 23.0589i | −0.291328 | + | 0.742291i | ||||
\(966\) | 87.7729 | + | 20.5254i | 2.82405 | + | 0.660393i | ||||
\(967\) | −15.5902 | − | 39.7231i | −0.501346 | − | 1.27741i | −0.927860 | − | 0.372928i | \(-0.878354\pi\) |
0.426515 | − | 0.904481i | \(-0.359741\pi\) | |||||||
\(968\) | 1.63831 | − | 1.76568i | 0.0526573 | − | 0.0567511i | ||||
\(969\) | −7.75546 | − | 12.7656i | −0.249141 | − | 0.410091i | ||||
\(970\) | 34.2533 | + | 23.3535i | 1.09981 | + | 0.749836i | ||||
\(971\) | 36.2881 | + | 45.5039i | 1.16454 | + | 1.46029i | 0.861823 | + | 0.507209i | \(0.169323\pi\) |
0.302719 | + | 0.953080i | \(0.402106\pi\) | |||||||
\(972\) | −21.6375 | − | 49.6634i | −0.694023 | − | 1.59296i | ||||
\(973\) | 11.6473 | − | 0.549506i | 0.373396 | − | 0.0176163i | ||||
\(974\) | −44.9233 | + | 65.8904i | −1.43944 | + | 2.11126i | ||||
\(975\) | 22.8431 | − | 22.1651i | 0.731564 | − | 0.709851i | ||||
\(976\) | −0.332958 | + | 1.07942i | −0.0106577 | + | 0.0345515i | ||||
\(977\) | 8.70550 | + | 12.7686i | 0.278514 | + | 0.408505i | 0.939851 | − | 0.341584i | \(-0.110963\pi\) |
−0.661338 | + | 0.750088i | \(0.730011\pi\) | |||||||
\(978\) | 34.1461 | − | 62.3170i | 1.09187 | − | 1.99268i | ||||
\(979\) | 33.1837 | − | 19.1586i | 1.06056 | − | 0.612313i | ||||
\(980\) | −49.0468 | − | 50.8361i | −1.56674 | − | 1.62390i | ||||
\(981\) | 14.2329 | + | 12.0694i | 0.454423 | + | 0.385345i | ||||
\(982\) | −20.3247 | + | 25.4863i | −0.648586 | + | 0.813301i | ||||
\(983\) | 1.88038 | + | 25.0919i | 0.0599747 | + | 0.800306i | 0.943384 | + | 0.331703i | \(0.107623\pi\) |
−0.883409 | + | 0.468603i | \(0.844758\pi\) | |||||||
\(984\) | −34.1386 | + | 44.8269i | −1.08830 | + | 1.42903i | ||||
\(985\) | −28.9680 | − | 42.4882i | −0.922996 | − | 1.35379i | ||||
\(986\) | −4.16468 | + | 55.5738i | −0.132630 | + | 1.76983i | ||||
\(987\) | 20.4785 | − | 1.42515i | 0.651837 | − | 0.0453631i | ||||
\(988\) | −4.45724 | − | 59.4777i | −0.141804 | − | 1.89224i | ||||
\(989\) | −33.6941 | + | 26.8701i | −1.07141 | + | 0.854420i | ||||
\(990\) | −18.5337 | − | 67.2094i | −0.589040 | − | 2.13606i | ||||
\(991\) | −29.4056 | + | 36.8735i | −0.934100 | + | 1.17132i | 0.0508883 | + | 0.998704i | \(0.483795\pi\) |
−0.984988 | + | 0.172620i | \(0.944777\pi\) | |||||||
\(992\) | 19.9150 | − | 6.14296i | 0.632302 | − | 0.195039i | ||||
\(993\) | 34.9613 | + | 19.1568i | 1.10946 | + | 0.607922i | ||||
\(994\) | 60.9455 | + | 31.4548i | 1.93307 | + | 0.997685i | ||||
\(995\) | 6.44318 | + | 42.7477i | 0.204263 | + | 1.35519i | ||||
\(996\) | 2.92903 | − | 0.285414i | 0.0928098 | − | 0.00904370i | ||||
\(997\) | 9.27765 | + | 30.0774i | 0.293826 | + | 0.952561i | 0.975331 | + | 0.220747i | \(0.0708496\pi\) |
−0.681505 | + | 0.731813i | \(0.738674\pi\) | |||||||
\(998\) | 15.2795i | 0.483666i | ||||||||
\(999\) | 0.106640 | + | 0.188073i | 0.00337393 | + | 0.00595038i |
(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 | 441.2.bh.a.104.48 | yes | 648 | |
9.2 | odd | 6 | inner | 441.2.bh.a.398.48 | yes | 648 | |
49.41 | odd | 14 | inner | 441.2.bh.a.41.48 | ✓ | 648 | |
441.335 | even | 42 | inner | 441.2.bh.a.335.48 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bh.a.41.48 | ✓ | 648 | 49.41 | odd | 14 | inner | |
441.2.bh.a.104.48 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bh.a.335.48 | yes | 648 | 441.335 | even | 42 | inner | |
441.2.bh.a.398.48 | yes | 648 | 9.2 | odd | 6 | inner |