Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 179.45 | ||
Character | \(\chi\) | \(=\) | 300.179 |
Dual form | 300.2.r.a.119.45 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.17989 | − | 0.779648i | 0.834311 | − | 0.551295i | ||||
\(3\) | 1.19702 | + | 1.25186i | 0.691100 | + | 0.722759i | ||||
\(4\) | 0.784297 | − | 1.83980i | 0.392149 | − | 0.919902i | ||||
\(5\) | 0.0402025 | + | 2.23571i | 0.0179791 | + | 0.999838i | ||||
\(6\) | 2.38836 | + | 0.543801i | 0.975045 | + | 0.222006i | ||||
\(7\) | −1.15300 | −0.435793 | −0.217897 | − | 0.975972i | \(-0.569920\pi\) | ||||
−0.217897 | + | 0.975972i | \(0.569920\pi\) | |||||||
\(8\) | −0.509012 | − | 2.78225i | −0.179963 | − | 0.983673i | ||||
\(9\) | −0.134283 | + | 2.99699i | −0.0447609 | + | 0.998998i | ||||
\(10\) | 1.79050 | + | 2.60655i | 0.566206 | + | 0.824264i | ||||
\(11\) | 0.602735 | − | 1.85503i | 0.181731 | − | 0.559312i | −0.818145 | − | 0.575011i | \(-0.804998\pi\) |
0.999877 | + | 0.0156998i | \(0.00499760\pi\) | |||||||
\(12\) | 3.24199 | − | 1.22046i | 0.935881 | − | 0.352315i | ||||
\(13\) | 6.39005 | − | 2.07625i | 1.77228 | − | 0.575849i | 0.773932 | − | 0.633269i | \(-0.218287\pi\) |
0.998350 | + | 0.0574197i | \(0.0182873\pi\) | |||||||
\(14\) | −1.36042 | + | 0.898935i | −0.363587 | + | 0.240250i | ||||
\(15\) | −2.75066 | + | 2.72651i | −0.710217 | + | 0.703983i | ||||
\(16\) | −2.76976 | − | 2.88591i | −0.692439 | − | 0.721477i | ||||
\(17\) | −4.07198 | + | 2.95847i | −0.987601 | + | 0.717534i | −0.959394 | − | 0.282068i | \(-0.908980\pi\) |
−0.0282063 | + | 0.999602i | \(0.508980\pi\) | |||||||
\(18\) | 2.17816 | + | 3.64083i | 0.513397 | + | 0.858151i | ||||
\(19\) | 0.112798 | + | 0.155253i | 0.0258776 | + | 0.0356174i | 0.821760 | − | 0.569834i | \(-0.192993\pi\) |
−0.795882 | + | 0.605452i | \(0.792993\pi\) | |||||||
\(20\) | 4.14479 | + | 1.67949i | 0.926804 | + | 0.375546i | ||||
\(21\) | −1.38017 | − | 1.44339i | −0.301177 | − | 0.314973i | ||||
\(22\) | −0.735105 | − | 2.65866i | −0.156725 | − | 0.566827i | ||||
\(23\) | −5.77829 | − | 1.87748i | −1.20486 | − | 0.391482i | −0.363312 | − | 0.931668i | \(-0.618354\pi\) |
−0.841546 | + | 0.540186i | \(0.818354\pi\) | |||||||
\(24\) | 2.87367 | − | 3.96762i | 0.586586 | − | 0.809887i | ||||
\(25\) | −4.99677 | + | 0.179762i | −0.999354 | + | 0.0359524i | ||||
\(26\) | 5.92083 | − | 7.43175i | 1.16117 | − | 1.45749i | ||||
\(27\) | −3.91254 | + | 3.41936i | −0.752969 | + | 0.658056i | ||||
\(28\) | −0.904295 | + | 2.12129i | −0.170896 | + | 0.400887i | ||||
\(29\) | 0.480676 | − | 0.661594i | 0.0892593 | − | 0.122855i | −0.762052 | − | 0.647516i | \(-0.775808\pi\) |
0.851311 | + | 0.524661i | \(0.175808\pi\) | |||||||
\(30\) | −1.11976 | + | 5.36154i | −0.204439 | + | 0.978879i | ||||
\(31\) | −3.70672 | − | 5.10187i | −0.665747 | − | 0.916323i | 0.333907 | − | 0.942606i | \(-0.391633\pi\) |
−0.999655 | + | 0.0262832i | \(0.991633\pi\) | |||||||
\(32\) | −5.51801 | − | 1.24563i | −0.975455 | − | 0.220198i | ||||
\(33\) | 3.04371 | − | 1.46597i | 0.529842 | − | 0.255192i | ||||
\(34\) | −2.49794 | + | 6.66539i | −0.428393 | + | 1.14311i | ||||
\(35\) | −0.0463535 | − | 2.57777i | −0.00783517 | − | 0.435723i | ||||
\(36\) | 5.40856 | + | 2.59759i | 0.901427 | + | 0.432931i | ||||
\(37\) | 1.47943 | − | 0.480694i | 0.243216 | − | 0.0790257i | −0.184872 | − | 0.982763i | \(-0.559187\pi\) |
0.428088 | + | 0.903737i | \(0.359187\pi\) | |||||||
\(38\) | 0.254132 | + | 0.0952391i | 0.0412256 | + | 0.0154498i | ||||
\(39\) | 10.2482 | + | 5.51410i | 1.64102 | + | 0.882963i | ||||
\(40\) | 6.19983 | − | 1.24986i | 0.980279 | − | 0.197619i | ||||
\(41\) | 6.34192 | − | 2.06062i | 0.990442 | − | 0.321814i | 0.231402 | − | 0.972858i | \(-0.425669\pi\) |
0.759040 | + | 0.651044i | \(0.225669\pi\) | |||||||
\(42\) | −2.75378 | − | 0.627003i | −0.424918 | − | 0.0967486i | ||||
\(43\) | −4.89607 | −0.746644 | −0.373322 | − | 0.927702i | \(-0.621781\pi\) | ||||
−0.373322 | + | 0.927702i | \(0.621781\pi\) | |||||||
\(44\) | −2.94016 | − | 2.56381i | −0.443246 | − | 0.386508i | ||||
\(45\) | −6.70580 | − | 0.179730i | −0.999641 | − | 0.0267926i | ||||
\(46\) | −8.28154 | + | 2.28981i | −1.22105 | + | 0.337614i | ||||
\(47\) | 2.70571 | − | 3.72409i | 0.394669 | − | 0.543215i | −0.564727 | − | 0.825278i | \(-0.691019\pi\) |
0.959396 | + | 0.282063i | \(0.0910186\pi\) | |||||||
\(48\) | 0.297283 | − | 6.92182i | 0.0429091 | − | 0.999079i | ||||
\(49\) | −5.67059 | −0.810084 | ||||||||
\(50\) | −5.75550 | + | 4.10782i | −0.813951 | + | 0.580934i | ||||
\(51\) | −8.57782 | − | 1.55618i | −1.20114 | − | 0.217909i | ||||
\(52\) | 1.19180 | − | 13.3848i | 0.165273 | − | 1.85614i | ||||
\(53\) | 4.10550 | + | 2.98282i | 0.563933 | + | 0.409722i | 0.832896 | − | 0.553429i | \(-0.186681\pi\) |
−0.268963 | + | 0.963151i | \(0.586681\pi\) | |||||||
\(54\) | −1.95048 | + | 7.08489i | −0.265427 | + | 0.964131i | ||||
\(55\) | 4.17153 | + | 1.27296i | 0.562489 | + | 0.171646i | ||||
\(56\) | 0.586891 | + | 3.20793i | 0.0784266 | + | 0.428678i | ||||
\(57\) | −0.0593327 | + | 0.327047i | −0.00785881 | + | 0.0433184i | ||||
\(58\) | 0.0513361 | − | 1.15537i | 0.00674076 | − | 0.151707i | ||||
\(59\) | −2.85979 | − | 8.80153i | −0.372313 | − | 1.14586i | −0.945274 | − | 0.326279i | \(-0.894205\pi\) |
0.572960 | − | 0.819583i | \(-0.305795\pi\) | |||||||
\(60\) | 2.85892 | + | 7.19907i | 0.369085 | + | 0.929396i | ||||
\(61\) | −1.91221 | + | 5.88518i | −0.244834 | + | 0.753520i | 0.750830 | + | 0.660495i | \(0.229654\pi\) |
−0.995664 | + | 0.0930251i | \(0.970346\pi\) | |||||||
\(62\) | −8.35120 | − | 3.12972i | −1.06060 | − | 0.397475i | ||||
\(63\) | 0.154828 | − | 3.45553i | 0.0195065 | − | 0.435356i | ||||
\(64\) | −7.48181 | + | 2.83240i | −0.935227 | + | 0.354050i | ||||
\(65\) | 4.89879 | + | 14.2028i | 0.607620 | + | 1.76164i | ||||
\(66\) | 2.44831 | − | 4.10271i | 0.301367 | − | 0.505009i | ||||
\(67\) | −7.13081 | + | 5.18083i | −0.871167 | + | 0.632940i | −0.930900 | − | 0.365275i | \(-0.880975\pi\) |
0.0597331 | + | 0.998214i | \(0.480975\pi\) | |||||||
\(68\) | 2.24936 | + | 9.81197i | 0.272774 | + | 1.18988i | ||||
\(69\) | −4.56640 | − | 9.48097i | −0.549730 | − | 1.14137i | ||||
\(70\) | −2.06445 | − | 3.00536i | −0.246749 | − | 0.359209i | ||||
\(71\) | 10.7466 | + | 7.80785i | 1.27538 | + | 0.926621i | 0.999403 | − | 0.0345419i | \(-0.0109972\pi\) |
0.275981 | + | 0.961163i | \(0.410997\pi\) | |||||||
\(72\) | 8.40673 | − | 1.15190i | 0.990743 | − | 0.135752i | ||||
\(73\) | 4.62698 | + | 1.50340i | 0.541547 | + | 0.175959i | 0.567001 | − | 0.823717i | \(-0.308103\pi\) |
−0.0254549 | + | 0.999676i | \(0.508103\pi\) | |||||||
\(74\) | 1.37079 | − | 1.72060i | 0.159351 | − | 0.200016i | ||||
\(75\) | −6.20627 | − | 6.04005i | −0.716638 | − | 0.697445i | ||||
\(76\) | 0.374101 | − | 0.0857613i | 0.0429124 | − | 0.00983749i | ||||
\(77\) | −0.694953 | + | 2.13885i | −0.0791973 | + | 0.243744i | ||||
\(78\) | 16.3908 | − | 1.48393i | 1.85590 | − | 0.168022i | ||||
\(79\) | 6.10013 | − | 8.39611i | 0.686318 | − | 0.944636i | −0.313670 | − | 0.949532i | \(-0.601559\pi\) |
0.999988 | + | 0.00489622i | \(0.00155852\pi\) | |||||||
\(80\) | 6.34069 | − | 6.30838i | 0.708911 | − | 0.705298i | ||||
\(81\) | −8.96394 | − | 0.804889i | −0.995993 | − | 0.0894322i | ||||
\(82\) | 5.87624 | − | 7.37577i | 0.648922 | − | 0.814518i | ||||
\(83\) | 7.95281 | + | 10.9461i | 0.872935 | + | 1.20149i | 0.978328 | + | 0.207061i | \(0.0663898\pi\) |
−0.105394 | + | 0.994431i | \(0.533610\pi\) | |||||||
\(84\) | −3.73801 | + | 1.40719i | −0.407851 | + | 0.153537i | ||||
\(85\) | −6.77797 | − | 8.98482i | −0.735174 | − | 0.974540i | ||||
\(86\) | −5.77685 | + | 3.81721i | −0.622933 | + | 0.411621i | ||||
\(87\) | 1.40360 | − | 0.190205i | 0.150482 | − | 0.0203921i | ||||
\(88\) | −5.46795 | − | 0.732727i | −0.582885 | − | 0.0781089i | ||||
\(89\) | −1.79450 | − | 0.583067i | −0.190216 | − | 0.0618050i | 0.212360 | − | 0.977192i | \(-0.431885\pi\) |
−0.402576 | + | 0.915387i | \(0.631885\pi\) | |||||||
\(90\) | −8.05225 | + | 5.01610i | −0.848782 | + | 0.528743i | ||||
\(91\) | −7.36773 | + | 2.39392i | −0.772348 | + | 0.250951i | ||||
\(92\) | −7.98610 | + | 9.15842i | −0.832608 | + | 0.954831i | ||||
\(93\) | 1.94977 | − | 10.7473i | 0.202182 | − | 1.11445i | ||||
\(94\) | 0.288970 | − | 6.50354i | 0.0298049 | − | 0.670789i | ||||
\(95\) | −0.342565 | + | 0.258424i | −0.0351464 | + | 0.0265137i | ||||
\(96\) | −5.04582 | − | 8.39879i | −0.514987 | − | 0.857198i | ||||
\(97\) | −5.18613 | + | 7.13810i | −0.526572 | + | 0.724764i | −0.986603 | − | 0.163139i | \(-0.947838\pi\) |
0.460031 | + | 0.887903i | \(0.347838\pi\) | |||||||
\(98\) | −6.69069 | + | 4.42107i | −0.675862 | + | 0.446595i | ||||
\(99\) | 5.47857 | + | 2.05549i | 0.550617 | + | 0.206585i | ||||
\(100\) | −3.58823 | + | 9.33406i | −0.358823 | + | 0.933406i | ||||
\(101\) | − | 6.45439i | − | 0.642236i | −0.947039 | − | 0.321118i | \(-0.895941\pi\) | ||
0.947039 | − | 0.321118i | \(-0.104059\pi\) | |||||||
\(102\) | −11.3342 | + | 4.85155i | −1.12225 | + | 0.480375i | ||||
\(103\) | 15.4880 | + | 11.2527i | 1.52608 | + | 1.10876i | 0.958370 | + | 0.285530i | \(0.0921695\pi\) |
0.567707 | + | 0.823230i | \(0.307830\pi\) | |||||||
\(104\) | −9.02927 | − | 16.7219i | −0.885393 | − | 1.63971i | ||||
\(105\) | 3.17151 | − | 3.14367i | 0.309508 | − | 0.306791i | ||||
\(106\) | 7.16960 | + | 0.318565i | 0.696373 | + | 0.0309417i | ||||
\(107\) | 11.1022i | 1.07329i | 0.843808 | + | 0.536646i | \(0.180309\pi\) | ||||
−0.843808 | + | 0.536646i | \(0.819691\pi\) | |||||||
\(108\) | 3.22236 | + | 9.88010i | 0.310071 | + | 0.950713i | ||||
\(109\) | −1.37075 | − | 4.21874i | −0.131294 | − | 0.404082i | 0.863701 | − | 0.504004i | \(-0.168140\pi\) |
−0.994995 | + | 0.0999226i | \(0.968140\pi\) | |||||||
\(110\) | 5.91442 | − | 1.75036i | 0.563918 | − | 0.166891i | ||||
\(111\) | 2.37266 | + | 1.27662i | 0.225203 | + | 0.121172i | ||||
\(112\) | 3.19353 | + | 3.32745i | 0.301760 | + | 0.314415i | ||||
\(113\) | 2.06270 | + | 6.34833i | 0.194042 | + | 0.597200i | 0.999986 | + | 0.00520898i | \(0.00165808\pi\) |
−0.805944 | + | 0.591991i | \(0.798342\pi\) | |||||||
\(114\) | 0.184975 | + | 0.432139i | 0.0173245 | + | 0.0404736i | ||||
\(115\) | 3.96520 | − | 12.9940i | 0.369756 | − | 1.21170i | ||||
\(116\) | −0.840210 | − | 1.40324i | −0.0780115 | − | 0.130287i | ||||
\(117\) | 5.36445 | + | 19.4298i | 0.495943 | + | 1.79628i | ||||
\(118\) | −10.2363 | − | 8.15524i | −0.942332 | − | 0.750751i | ||||
\(119\) | 4.69500 | − | 3.41111i | 0.430390 | − | 0.312696i | ||||
\(120\) | 8.98596 | + | 6.26518i | 0.820302 | + | 0.571930i | ||||
\(121\) | 5.82135 | + | 4.22946i | 0.529214 | + | 0.384496i | ||||
\(122\) | 2.33217 | + | 8.43474i | 0.211144 | + | 0.763646i | ||||
\(123\) | 10.1710 | + | 5.47257i | 0.917089 | + | 0.493445i | ||||
\(124\) | −12.2936 | + | 2.81826i | −1.10400 | + | 0.253088i | ||||
\(125\) | −0.602777 | − | 11.1641i | −0.0539140 | − | 0.998546i | ||||
\(126\) | −2.51142 | − | 4.19787i | −0.223735 | − | 0.373976i | ||||
\(127\) | −0.643220 | + | 1.97963i | −0.0570765 | + | 0.175663i | −0.975530 | − | 0.219865i | \(-0.929438\pi\) |
0.918454 | + | 0.395528i | \(0.129438\pi\) | |||||||
\(128\) | −6.61947 | + | 9.17511i | −0.585084 | + | 0.810973i | ||||
\(129\) | −5.86070 | − | 6.12917i | −0.516006 | − | 0.539644i | ||||
\(130\) | 16.8532 | + | 12.9385i | 1.47813 | + | 1.13478i | ||||
\(131\) | −3.77470 | + | 2.74248i | −0.329797 | + | 0.239612i | −0.740345 | − | 0.672228i | \(-0.765338\pi\) |
0.410547 | + | 0.911839i | \(0.365338\pi\) | |||||||
\(132\) | −0.309920 | − | 6.74959i | −0.0269751 | − | 0.587476i | ||||
\(133\) | −0.130056 | − | 0.179006i | −0.0112773 | − | 0.0155218i | ||||
\(134\) | −4.37436 | + | 11.6724i | −0.377888 | + | 1.00834i | ||||
\(135\) | −7.80198 | − | 8.60983i | −0.671488 | − | 0.741016i | ||||
\(136\) | 10.3039 | + | 9.82337i | 0.883551 | + | 0.842347i | ||||
\(137\) | −3.68613 | − | 11.3447i | −0.314927 | − | 0.969246i | −0.975784 | − | 0.218735i | \(-0.929807\pi\) |
0.660857 | − | 0.750512i | \(-0.270193\pi\) | |||||||
\(138\) | −12.7797 | − | 7.62635i | −1.08788 | − | 0.649198i | ||||
\(139\) | −4.41592 | − | 1.43482i | −0.374553 | − | 0.121700i | 0.115690 | − | 0.993285i | \(-0.463092\pi\) |
−0.490243 | + | 0.871586i | \(0.663092\pi\) | |||||||
\(140\) | −4.77895 | − | 1.93646i | −0.403895 | − | 0.163661i | ||||
\(141\) | 7.90082 | − | 1.07066i | 0.665369 | − | 0.0901656i | ||||
\(142\) | 18.7672 | + | 0.833877i | 1.57491 | + | 0.0699774i | ||||
\(143\) | − | 13.1052i | − | 1.09591i | ||||||
\(144\) | 9.02097 | − | 7.91341i | 0.751748 | − | 0.659451i | ||||
\(145\) | 1.49845 | + | 1.04805i | 0.124440 | + | 0.0870360i | ||||
\(146\) | 6.63146 | − | 1.83357i | 0.548823 | − | 0.151747i | ||||
\(147\) | −6.78781 | − | 7.09876i | −0.559849 | − | 0.585496i | ||||
\(148\) | 0.275926 | − | 3.09886i | 0.0226810 | − | 0.254725i | ||||
\(149\) | − | 0.357608i | − | 0.0292964i | −0.999893 | − | 0.0146482i | \(-0.995337\pi\) | ||
0.999893 | − | 0.0146482i | \(-0.00466283\pi\) | |||||||
\(150\) | −12.0319 | − | 2.28791i | −0.982397 | − | 0.186807i | ||||
\(151\) | − | 10.4831i | − | 0.853100i | −0.904464 | − | 0.426550i | \(-0.859729\pi\) | ||
0.904464 | − | 0.426550i | \(-0.140271\pi\) | |||||||
\(152\) | 0.374536 | − | 0.392857i | 0.0303789 | − | 0.0318649i | ||||
\(153\) | −8.31971 | − | 12.6010i | −0.672609 | − | 1.01873i | ||||
\(154\) | 0.847577 | + | 3.06543i | 0.0682997 | + | 0.247019i | ||||
\(155\) | 11.2573 | − | 8.49226i | 0.904205 | − | 0.682114i | ||||
\(156\) | 18.1825 | − | 14.5300i | 1.45576 | − | 1.16333i | ||||
\(157\) | − | 5.41895i | − | 0.432480i | −0.976340 | − | 0.216240i | \(-0.930621\pi\) | ||
0.976340 | − | 0.216240i | \(-0.0693793\pi\) | |||||||
\(158\) | 0.651493 | − | 14.6625i | 0.0518300 | − | 1.16648i | ||||
\(159\) | 1.18031 | + | 8.70998i | 0.0936046 | + | 0.690747i | ||||
\(160\) | 2.56302 | − | 12.3867i | 0.202625 | − | 0.979256i | ||||
\(161\) | 6.66237 | + | 2.16474i | 0.525069 | + | 0.170605i | ||||
\(162\) | −11.2040 | + | 6.03903i | −0.880271 | + | 0.474471i | ||||
\(163\) | 5.81667 | + | 17.9019i | 0.455597 | + | 1.40218i | 0.870433 | + | 0.492286i | \(0.163839\pi\) |
−0.414837 | + | 0.909896i | \(0.636161\pi\) | |||||||
\(164\) | 1.18283 | − | 13.2840i | 0.0923631 | − | 1.03731i | ||||
\(165\) | 3.39984 | + | 6.74591i | 0.264677 | + | 0.525168i | ||||
\(166\) | 17.9176 | + | 6.71484i | 1.39067 | + | 0.521173i | ||||
\(167\) | 7.88238 | + | 10.8492i | 0.609957 | + | 0.839533i | 0.996574 | − | 0.0827069i | \(-0.0263565\pi\) |
−0.386617 | + | 0.922240i | \(0.626357\pi\) | |||||||
\(168\) | −3.31335 | + | 4.57467i | −0.255630 | + | 0.352943i | ||||
\(169\) | 26.0047 | − | 18.8935i | 2.00036 | − | 1.45335i | ||||
\(170\) | −15.0023 | − | 5.31670i | −1.15062 | − | 0.407772i | ||||
\(171\) | −0.480438 | + | 0.317206i | −0.0367400 | + | 0.0242574i | ||||
\(172\) | −3.83998 | + | 9.00781i | −0.292796 | + | 0.686839i | ||||
\(173\) | 6.56105 | − | 20.1929i | 0.498828 | − | 1.53523i | −0.312078 | − | 0.950057i | \(-0.601025\pi\) |
0.810905 | − | 0.585177i | \(-0.198975\pi\) | |||||||
\(174\) | 1.50780 | − | 1.31873i | 0.114306 | − | 0.0999730i | ||||
\(175\) | 5.76127 | − | 0.207266i | 0.435511 | − | 0.0156678i | ||||
\(176\) | −7.02286 | + | 3.39853i | −0.529368 | + | 0.256174i | ||||
\(177\) | 7.59501 | − | 14.1157i | 0.570876 | − | 1.06100i | ||||
\(178\) | −2.57190 | + | 0.711118i | −0.192772 | + | 0.0533006i | ||||
\(179\) | 1.22604 | + | 0.890767i | 0.0916382 | + | 0.0665791i | 0.632661 | − | 0.774429i | \(-0.281963\pi\) |
−0.541023 | + | 0.841008i | \(0.681963\pi\) | |||||||
\(180\) | −5.59001 | + | 12.1964i | −0.416655 | + | 0.909065i | ||||
\(181\) | −2.29510 | + | 1.66748i | −0.170593 | + | 0.123943i | −0.669806 | − | 0.742536i | \(-0.733623\pi\) |
0.499213 | + | 0.866479i | \(0.333623\pi\) | |||||||
\(182\) | −6.82672 | + | 8.56881i | −0.506030 | + | 0.635163i | ||||
\(183\) | −9.65635 | + | 4.65087i | −0.713818 | + | 0.343802i | ||||
\(184\) | −2.28240 | + | 17.0323i | −0.168261 | + | 1.25564i | ||||
\(185\) | 1.13417 | + | 3.28824i | 0.0833857 | + | 0.241756i | ||||
\(186\) | −6.07861 | − | 14.2008i | −0.445705 | − | 1.04126i | ||||
\(187\) | 3.03371 | + | 9.33681i | 0.221847 | + | 0.682775i | ||||
\(188\) | −4.72952 | − | 7.89878i | −0.344936 | − | 0.576077i | ||||
\(189\) | 4.51116 | − | 3.94252i | 0.328139 | − | 0.286776i | ||||
\(190\) | −0.202710 | + | 0.571993i | −0.0147061 | + | 0.0414967i | ||||
\(191\) | −3.95143 | − | 12.1612i | −0.285915 | − | 0.879956i | −0.986123 | − | 0.166017i | \(-0.946909\pi\) |
0.700208 | − | 0.713939i | \(-0.253091\pi\) | |||||||
\(192\) | −12.5016 | − | 5.97571i | −0.902228 | − | 0.431260i | ||||
\(193\) | 11.9381i | 0.859326i | 0.902989 | + | 0.429663i | \(0.141368\pi\) | ||||
−0.902989 | + | 0.429663i | \(0.858632\pi\) | |||||||
\(194\) | −0.553878 | + | 12.4656i | −0.0397661 | + | 0.894974i | ||||
\(195\) | −11.9159 | + | 23.1336i | −0.853316 | + | 1.65663i | ||||
\(196\) | −4.44743 | + | 10.4328i | −0.317674 | + | 0.745198i | ||||
\(197\) | 15.9619 | + | 11.5970i | 1.13724 | + | 0.826250i | 0.986732 | − | 0.162359i | \(-0.0519103\pi\) |
0.150504 | + | 0.988609i | \(0.451910\pi\) | |||||||
\(198\) | 8.06668 | − | 1.84609i | 0.573274 | − | 0.131196i | ||||
\(199\) | 2.32854i | 0.165066i | 0.996588 | + | 0.0825329i | \(0.0263009\pi\) | ||||
−0.996588 | + | 0.0825329i | \(0.973699\pi\) | |||||||
\(200\) | 3.04356 | + | 13.8107i | 0.215212 | + | 0.976567i | ||||
\(201\) | −15.0214 | − | 2.72517i | −1.05953 | − | 0.192219i | ||||
\(202\) | −5.03216 | − | 7.61550i | −0.354061 | − | 0.535825i | ||||
\(203\) | −0.554219 | + | 0.762818i | −0.0388986 | + | 0.0535393i | ||||
\(204\) | −9.59064 | + | 14.5610i | −0.671479 | + | 1.01947i | ||||
\(205\) | 4.86189 | + | 14.0958i | 0.339569 | + | 0.984496i | ||||
\(206\) | 27.0473 | + | 1.20179i | 1.88448 | + | 0.0837323i | ||||
\(207\) | 6.40272 | − | 17.0654i | 0.445020 | − | 1.18613i | ||||
\(208\) | −23.6908 | − | 12.6904i | −1.64266 | − | 0.879920i | ||||
\(209\) | 0.355985 | − | 0.115667i | 0.0246240 | − | 0.00800082i | ||||
\(210\) | 1.29108 | − | 6.18186i | 0.0890933 | − | 0.426589i | ||||
\(211\) | −17.8670 | − | 5.80534i | −1.23002 | − | 0.399656i | −0.379296 | − | 0.925275i | \(-0.623834\pi\) |
−0.850720 | + | 0.525619i | \(0.823834\pi\) | |||||||
\(212\) | 8.70773 | − | 5.21389i | 0.598049 | − | 0.358092i | ||||
\(213\) | 3.08958 | + | 22.7993i | 0.211695 | + | 1.56218i | ||||
\(214\) | 8.65582 | + | 13.0994i | 0.591700 | + | 0.895459i | ||||
\(215\) | −0.196834 | − | 10.9462i | −0.0134240 | − | 0.746524i | ||||
\(216\) | 11.5050 | + | 9.14516i | 0.782819 | + | 0.622250i | ||||
\(217\) | 4.27386 | + | 5.88246i | 0.290128 | + | 0.399327i | ||||
\(218\) | −4.90647 | − | 3.90896i | −0.332308 | − | 0.264748i | ||||
\(219\) | 3.65655 | + | 7.59190i | 0.247087 | + | 0.513013i | ||||
\(220\) | 5.61372 | − | 6.67641i | 0.378477 | − | 0.450124i | ||||
\(221\) | −19.8776 | + | 27.3592i | −1.33712 | + | 1.84038i | ||||
\(222\) | 3.79481 | − | 0.343560i | 0.254691 | − | 0.0230583i | ||||
\(223\) | −0.00385411 | + | 0.0118617i | −0.000258090 | + | 0.000794321i | −0.951185 | − | 0.308620i | \(-0.900133\pi\) |
0.950927 | + | 0.309414i | \(0.100133\pi\) | |||||||
\(224\) | 6.36227 | + | 1.43621i | 0.425097 | + | 0.0959608i | ||||
\(225\) | 0.132235 | − | 14.9994i | 0.00881565 | − | 0.999961i | ||||
\(226\) | 7.38322 | + | 5.88217i | 0.491125 | + | 0.391276i | ||||
\(227\) | −6.35998 | − | 2.06648i | −0.422127 | − | 0.137157i | 0.0902480 | − | 0.995919i | \(-0.471234\pi\) |
−0.512375 | + | 0.858762i | \(0.671234\pi\) | |||||||
\(228\) | 0.555168 | + | 0.365663i | 0.0367669 | + | 0.0242166i | ||||
\(229\) | −22.1840 | − | 16.1177i | −1.46596 | − | 1.06508i | −0.981759 | − | 0.190129i | \(-0.939109\pi\) |
−0.484204 | − | 0.874955i | \(-0.660891\pi\) | |||||||
\(230\) | −5.45228 | − | 18.4230i | −0.359512 | − | 1.21478i | ||||
\(231\) | −3.50940 | + | 1.69026i | −0.230902 | + | 0.111211i | ||||
\(232\) | −2.08539 | − | 1.00060i | −0.136912 | − | 0.0656926i | ||||
\(233\) | −6.13433 | + | 4.45685i | −0.401873 | + | 0.291978i | −0.770303 | − | 0.637677i | \(-0.779895\pi\) |
0.368430 | + | 0.929655i | \(0.379895\pi\) | |||||||
\(234\) | 21.4778 | + | 18.7427i | 1.40405 | + | 1.22525i | ||||
\(235\) | 8.43476 | + | 5.89946i | 0.550223 | + | 0.384838i | ||||
\(236\) | −18.4360 | − | 1.64156i | −1.20008 | − | 0.106857i | ||||
\(237\) | 17.8127 | − | 2.41384i | 1.15706 | − | 0.156796i | ||||
\(238\) | 2.88013 | − | 7.68520i | 0.186691 | − | 0.498157i | ||||
\(239\) | 0.0135238 | − | 0.0416220i | 0.000874782 | − | 0.00269230i | −0.950618 | − | 0.310363i | \(-0.899549\pi\) |
0.951493 | + | 0.307671i | \(0.0995495\pi\) | |||||||
\(240\) | 15.4871 | + | 0.386363i | 0.999689 | + | 0.0249396i | ||||
\(241\) | 0.797261 | + | 2.45372i | 0.0513561 | + | 0.158058i | 0.973445 | − | 0.228919i | \(-0.0735192\pi\) |
−0.922089 | + | 0.386977i | \(0.873519\pi\) | |||||||
\(242\) | 10.1661 | + | 0.451706i | 0.653499 | + | 0.0290367i | ||||
\(243\) | −9.72241 | − | 12.1850i | −0.623693 | − | 0.781669i | ||||
\(244\) | 9.32784 | + | 8.13383i | 0.597154 | + | 0.520715i | ||||
\(245\) | −0.227972 | − | 12.6778i | −0.0145646 | − | 0.809953i | ||||
\(246\) | 16.2674 | − | 1.47276i | 1.03717 | − | 0.0938995i | ||||
\(247\) | 1.04313 | + | 0.757876i | 0.0663726 | + | 0.0482225i | ||||
\(248\) | −12.3079 | + | 12.9099i | −0.781552 | + | 0.819782i | ||||
\(249\) | −4.18326 | + | 23.0585i | −0.265103 | + | 1.46127i | ||||
\(250\) | −9.41527 | − | 12.7025i | −0.595474 | − | 0.803375i | ||||
\(251\) | 22.7861 | 1.43824 | 0.719122 | − | 0.694884i | \(-0.244544\pi\) | ||||
0.719122 | + | 0.694884i | \(0.244544\pi\) | |||||||
\(252\) | −6.23607 | − | 2.99502i | −0.392836 | − | 0.188669i | ||||
\(253\) | −6.96556 | + | 9.58727i | −0.437921 | + | 0.602746i | ||||
\(254\) | 0.784481 | + | 2.83723i | 0.0492227 | + | 0.178024i | ||||
\(255\) | 3.13432 | − | 19.2401i | 0.196279 | − | 1.20486i | ||||
\(256\) | −0.656913 | + | 15.9865i | −0.0410571 | + | 0.999157i | ||||
\(257\) | −6.97969 | −0.435381 | −0.217691 | − | 0.976018i | \(-0.569852\pi\) | ||||
−0.217691 | + | 0.976018i | \(0.569852\pi\) | |||||||
\(258\) | −11.6936 | − | 2.66249i | −0.728012 | − | 0.165759i | ||||
\(259\) | −1.70578 | + | 0.554241i | −0.105992 | + | 0.0344388i | ||||
\(260\) | 29.9725 | + | 2.12642i | 1.85882 | + | 0.131875i | ||||
\(261\) | 1.91825 | + | 1.52942i | 0.118736 | + | 0.0946689i | ||||
\(262\) | −2.31557 | + | 6.17877i | −0.143057 | + | 0.381726i | ||||
\(263\) | −28.2278 | + | 9.17178i | −1.74060 | + | 0.565556i | −0.994913 | − | 0.100738i | \(-0.967880\pi\) |
−0.745689 | + | 0.666294i | \(0.767880\pi\) | |||||||
\(264\) | −5.62798 | − | 7.72216i | −0.346378 | − | 0.475266i | ||||
\(265\) | −6.50366 | + | 9.29860i | −0.399516 | + | 0.571209i | ||||
\(266\) | −0.293014 | − | 0.109811i | −0.0179658 | − | 0.00673293i | ||||
\(267\) | −1.41813 | − | 2.94439i | −0.0867883 | − | 0.180194i | ||||
\(268\) | 3.93904 | + | 17.1826i | 0.240615 | + | 1.04959i | ||||
\(269\) | −5.16290 | − | 7.10612i | −0.314787 | − | 0.433268i | 0.622079 | − | 0.782954i | \(-0.286288\pi\) |
−0.936867 | + | 0.349686i | \(0.886288\pi\) | |||||||
\(270\) | −15.9181 | − | 4.07588i | −0.968747 | − | 0.248050i | ||||
\(271\) | 1.46429 | − | 2.01543i | 0.0889495 | − | 0.122429i | −0.762223 | − | 0.647315i | \(-0.775892\pi\) |
0.851173 | + | 0.524886i | \(0.175892\pi\) | |||||||
\(272\) | 19.8163 | + | 3.55713i | 1.20154 | + | 0.215683i | ||||
\(273\) | −11.8162 | − | 6.35776i | −0.715147 | − | 0.384789i | ||||
\(274\) | −13.1941 | − | 10.5117i | −0.797087 | − | 0.635035i | ||||
\(275\) | −2.67826 | + | 9.37749i | −0.161505 | + | 0.565484i | ||||
\(276\) | −21.0245 | + | 0.965382i | −1.26553 | + | 0.0581092i | ||||
\(277\) | −19.1206 | − | 6.21266i | −1.14884 | − | 0.373282i | −0.328137 | − | 0.944630i | \(-0.606421\pi\) |
−0.820708 | + | 0.571348i | \(0.806421\pi\) | |||||||
\(278\) | −6.32897 | + | 1.74993i | −0.379586 | + | 0.104954i | ||||
\(279\) | 15.7880 | − | 10.4239i | 0.945204 | − | 0.624065i | ||||
\(280\) | −7.14840 | + | 1.44108i | −0.427199 | + | 0.0861212i | ||||
\(281\) | 2.93004 | + | 4.03285i | 0.174791 | + | 0.240580i | 0.887420 | − | 0.460962i | \(-0.152495\pi\) |
−0.712629 | + | 0.701542i | \(0.752495\pi\) | |||||||
\(282\) | 8.48739 | − | 7.42312i | 0.505417 | − | 0.442040i | ||||
\(283\) | 15.9284 | − | 11.5727i | 0.946845 | − | 0.687923i | −0.00321335 | − | 0.999995i | \(-0.501023\pi\) |
0.950059 | + | 0.312071i | \(0.101023\pi\) | |||||||
\(284\) | 22.7934 | − | 13.6479i | 1.35254 | − | 0.809855i | ||||
\(285\) | −0.733566 | − | 0.119502i | −0.0434527 | − | 0.00707871i | ||||
\(286\) | −10.2174 | − | 15.4627i | −0.604168 | − | 0.914328i | ||||
\(287\) | −7.31224 | + | 2.37589i | −0.431628 | + | 0.140244i | ||||
\(288\) | 4.47411 | − | 16.3702i | 0.263640 | − | 0.964621i | ||||
\(289\) | 2.57521 | − | 7.92569i | 0.151483 | − | 0.466217i | ||||
\(290\) | 2.58513 | + | 0.0683238i | 0.151804 | + | 0.00401211i | ||||
\(291\) | −15.1438 | + | 2.05216i | −0.887743 | + | 0.120300i | ||||
\(292\) | 6.39488 | − | 7.33362i | 0.374232 | − | 0.429167i | ||||
\(293\) | −18.6192 | −1.08775 | −0.543873 | − | 0.839167i | \(-0.683043\pi\) | ||||
−0.543873 | + | 0.839167i | \(0.683043\pi\) | |||||||
\(294\) | −13.5434 | − | 3.08367i | −0.789869 | − | 0.179843i | ||||
\(295\) | 19.5627 | − | 6.74750i | 1.13898 | − | 0.392854i | ||||
\(296\) | −2.09046 | − | 3.87145i | −0.121505 | − | 0.225023i | ||||
\(297\) | 3.98478 | + | 9.31884i | 0.231220 | + | 0.540734i | ||||
\(298\) | −0.278808 | − | 0.421939i | −0.0161509 | − | 0.0244423i | ||||
\(299\) | −40.8217 | −2.36078 | ||||||||
\(300\) | −15.9801 | + | 6.68112i | −0.922610 | + | 0.385735i | ||||
\(301\) | 5.64517 | 0.325382 | ||||||||
\(302\) | −8.17311 | − | 12.3689i | −0.470309 | − | 0.711751i | ||||
\(303\) | 8.07997 | − | 7.72604i | 0.464182 | − | 0.443850i | ||||
\(304\) | 0.135623 | − | 0.755535i | 0.00777850 | − | 0.0433329i | ||||
\(305\) | −13.2344 | − | 4.03855i | −0.757801 | − | 0.231246i | ||||
\(306\) | −19.6407 | − | 8.38136i | −1.12278 | − | 0.479130i | ||||
\(307\) | −27.0386 | −1.54317 | −0.771587 | − | 0.636124i | \(-0.780537\pi\) | ||||
−0.771587 | + | 0.636124i | \(0.780537\pi\) | |||||||
\(308\) | 3.39001 | + | 2.95607i | 0.193164 | + | 0.168438i | ||||
\(309\) | 4.45272 | + | 32.8584i | 0.253306 | + | 1.86925i | ||||
\(310\) | 6.66140 | − | 18.7967i | 0.378342 | − | 1.06758i | ||||
\(311\) | −3.89046 | + | 11.9736i | −0.220608 | + | 0.678961i | 0.778100 | + | 0.628140i | \(0.216184\pi\) |
−0.998708 | + | 0.0508206i | \(0.983816\pi\) | |||||||
\(312\) | 10.1251 | − | 31.3198i | 0.573224 | − | 1.77313i | ||||
\(313\) | 14.0468 | − | 4.56408i | 0.793972 | − | 0.257977i | 0.116178 | − | 0.993228i | \(-0.462936\pi\) |
0.677795 | + | 0.735251i | \(0.262936\pi\) | |||||||
\(314\) | −4.22488 | − | 6.39379i | −0.238424 | − | 0.360822i | ||||
\(315\) | 7.73178 | + | 0.207229i | 0.435637 | + | 0.0116760i | ||||
\(316\) | −10.6629 | − | 17.8081i | −0.599834 | − | 1.00178i | ||||
\(317\) | 12.3277 | − | 8.95661i | 0.692393 | − | 0.503053i | −0.185053 | − | 0.982729i | \(-0.559246\pi\) |
0.877446 | + | 0.479675i | \(0.159246\pi\) | |||||||
\(318\) | 8.18336 | + | 9.35663i | 0.458900 | + | 0.524694i | ||||
\(319\) | −0.937554 | − | 1.29043i | −0.0524929 | − | 0.0722503i | ||||
\(320\) | −6.63319 | − | 16.6133i | −0.370807 | − | 0.928710i | ||||
\(321\) | −13.8984 | + | 13.2896i | −0.775731 | + | 0.741752i | ||||
\(322\) | 9.54862 | − | 2.64015i | 0.532124 | − | 0.147130i | ||||
\(323\) | −0.918620 | − | 0.298478i | −0.0511134 | − | 0.0166077i | ||||
\(324\) | −8.51123 | + | 15.8606i | −0.472846 | + | 0.881145i | ||||
\(325\) | −31.5564 | + | 11.5232i | −1.75043 | + | 0.639195i | ||||
\(326\) | 20.8202 | + | 16.5873i | 1.15312 | + | 0.918688i | ||||
\(327\) | 3.64043 | − | 6.76590i | 0.201316 | − | 0.374155i | ||||
\(328\) | −8.96126 | − | 16.5959i | −0.494803 | − | 0.916357i | ||||
\(329\) | −3.11969 | + | 4.29388i | −0.171994 | + | 0.236729i | ||||
\(330\) | 9.27089 | + | 5.30877i | 0.510345 | + | 0.292238i | ||||
\(331\) | 6.65956 | + | 9.16609i | 0.366042 | + | 0.503814i | 0.951820 | − | 0.306658i | \(-0.0992107\pi\) |
−0.585777 | + | 0.810472i | \(0.699211\pi\) | |||||||
\(332\) | 26.3761 | − | 6.04661i | 1.44757 | − | 0.331851i | ||||
\(333\) | 1.24198 | + | 4.49838i | 0.0680599 | + | 0.246509i | ||||
\(334\) | 17.7589 | + | 6.65537i | 0.971723 | + | 0.364166i | ||||
\(335\) | −11.8695 | − | 15.7341i | −0.648500 | − | 0.859646i | ||||
\(336\) | −0.342767 | + | 7.98086i | −0.0186995 | + | 0.435392i | ||||
\(337\) | 9.05362 | − | 2.94170i | 0.493182 | − | 0.160245i | −0.0518583 | − | 0.998654i | \(-0.516514\pi\) |
0.545040 | + | 0.838410i | \(0.316514\pi\) | |||||||
\(338\) | 15.9525 | − | 42.5669i | 0.867701 | − | 2.31533i | ||||
\(339\) | −5.47810 | + | 10.1813i | −0.297529 | + | 0.552971i | ||||
\(340\) | −21.8462 | + | 5.42336i | −1.18478 | + | 0.294123i | ||||
\(341\) | −11.6983 | + | 3.80100i | −0.633497 | + | 0.205836i | ||||
\(342\) | −0.319557 | + | 0.748842i | −0.0172796 | + | 0.0404927i | ||||
\(343\) | 14.6092 | 0.788822 | ||||||||
\(344\) | 2.49216 | + | 13.6221i | 0.134368 | + | 0.734454i | ||||
\(345\) | 21.0131 | − | 10.5903i | 1.13131 | − | 0.570162i | ||||
\(346\) | −8.00197 | − | 28.9407i | −0.430189 | − | 1.55586i | ||||
\(347\) | −8.33651 | + | 11.4742i | −0.447527 | + | 0.615969i | −0.971864 | − | 0.235542i | \(-0.924313\pi\) |
0.524337 | + | 0.851511i | \(0.324313\pi\) | |||||||
\(348\) | 0.750899 | − | 2.73152i | 0.0402524 | − | 0.146425i | ||||
\(349\) | 2.26969 | 0.121494 | 0.0607469 | − | 0.998153i | \(-0.480652\pi\) | ||||
0.0607469 | + | 0.998153i | \(0.480652\pi\) | |||||||
\(350\) | 6.63610 | − | 4.73632i | 0.354714 | − | 0.253167i | ||||
\(351\) | −17.9019 | + | 29.9733i | −0.955532 | + | 1.59986i | ||||
\(352\) | −5.63657 | + | 9.48527i | −0.300430 | + | 0.505567i | ||||
\(353\) | −18.8297 | − | 13.6806i | −1.00221 | − | 0.728145i | −0.0396457 | − | 0.999214i | \(-0.512623\pi\) |
−0.962560 | + | 0.271069i | \(0.912623\pi\) | |||||||
\(354\) | −2.04394 | − | 22.5764i | −0.108634 | − | 1.19992i | ||||
\(355\) | −17.0240 | + | 24.3401i | −0.903541 | + | 1.29184i | ||||
\(356\) | −2.48015 | + | 2.84422i | −0.131448 | + | 0.150743i | ||||
\(357\) | 9.89023 | + | 1.79428i | 0.523446 | + | 0.0949634i | ||||
\(358\) | 2.14108 | + | 0.0951338i | 0.113159 | + | 0.00502798i | ||||
\(359\) | −2.58358 | − | 7.95144i | −0.136356 | − | 0.419661i | 0.859442 | − | 0.511233i | \(-0.170811\pi\) |
−0.995798 | + | 0.0915716i | \(0.970811\pi\) | |||||||
\(360\) | 2.91328 | + | 18.7487i | 0.153543 | + | 0.988142i | ||||
\(361\) | 5.85994 | − | 18.0350i | 0.308418 | − | 0.949213i | ||||
\(362\) | −1.40792 | + | 3.75682i | −0.0739985 | + | 0.197454i | ||||
\(363\) | 1.67361 | + | 12.3502i | 0.0878416 | + | 0.648219i | ||||
\(364\) | −1.37415 | + | 15.4327i | −0.0720249 | + | 0.808895i | ||||
\(365\) | −3.17514 | + | 10.4050i | −0.166194 | + | 0.544623i | ||||
\(366\) | −7.76742 | + | 13.0161i | −0.406010 | + | 0.680362i | ||||
\(367\) | 3.89883 | − | 2.83267i | 0.203517 | − | 0.147864i | −0.481358 | − | 0.876524i | \(-0.659856\pi\) |
0.684876 | + | 0.728660i | \(0.259856\pi\) | |||||||
\(368\) | 10.5862 | + | 21.8758i | 0.551845 | + | 1.14035i | ||||
\(369\) | 5.32404 | + | 19.2834i | 0.277158 | + | 1.00385i | ||||
\(370\) | 3.90186 | + | 2.99552i | 0.202848 | + | 0.155729i | ||||
\(371\) | −4.73364 | − | 3.43919i | −0.245758 | − | 0.178554i | ||||
\(372\) | −18.2438 | − | 12.0163i | −0.945895 | − | 0.623016i | ||||
\(373\) | 6.13507 | + | 1.99341i | 0.317662 | + | 0.103215i | 0.463508 | − | 0.886093i | \(-0.346590\pi\) |
−0.145846 | + | 0.989307i | \(0.546590\pi\) | |||||||
\(374\) | 10.8589 | + | 8.65121i | 0.561499 | + | 0.447343i | ||||
\(375\) | 13.2543 | − | 14.1182i | 0.684448 | − | 0.729062i | ||||
\(376\) | −11.7386 | − | 5.63235i | −0.605372 | − | 0.290467i | ||||
\(377\) | 1.69791 | − | 5.22562i | 0.0874467 | − | 0.269133i | ||||
\(378\) | 2.24891 | − | 8.16888i | 0.115671 | − | 0.420162i | ||||
\(379\) | −13.7372 | + | 18.9076i | −0.705631 | + | 0.971218i | 0.294249 | + | 0.955729i | \(0.404930\pi\) |
−0.999880 | + | 0.0154889i | \(0.995070\pi\) | |||||||
\(380\) | 0.206777 | + | 0.832933i | 0.0106074 | + | 0.0427286i | ||||
\(381\) | −3.24815 | + | 1.56444i | −0.166408 | + | 0.0801485i | ||||
\(382\) | −14.1437 | − | 11.2682i | −0.723657 | − | 0.576533i | ||||
\(383\) | 13.0774 | + | 17.9995i | 0.668224 | + | 0.919731i | 0.999718 | − | 0.0237262i | \(-0.00755300\pi\) |
−0.331495 | + | 0.943457i | \(0.607553\pi\) | |||||||
\(384\) | −19.4095 | + | 2.69618i | −0.990489 | + | 0.137589i | ||||
\(385\) | −4.80977 | − | 1.46772i | −0.245129 | − | 0.0748022i | ||||
\(386\) | 9.30754 | + | 14.0857i | 0.473742 | + | 0.716945i | ||||
\(387\) | 0.657459 | − | 14.6735i | 0.0334205 | − | 0.745896i | ||||
\(388\) | 9.06523 | + | 15.1399i | 0.460217 | + | 0.768610i | ||||
\(389\) | 32.8419 | + | 10.6710i | 1.66515 | + | 0.541040i | 0.981941 | − | 0.189185i | \(-0.0605845\pi\) |
0.683207 | + | 0.730224i | \(0.260585\pi\) | |||||||
\(390\) | 3.97659 | + | 36.5854i | 0.201363 | + | 1.85258i | ||||
\(391\) | 29.0836 | − | 9.44982i | 1.47082 | − | 0.477898i | ||||
\(392\) | 2.88640 | + | 15.7770i | 0.145785 | + | 0.796858i | ||||
\(393\) | −7.95158 | − | 1.44257i | −0.401104 | − | 0.0727682i | ||||
\(394\) | 27.8749 | + | 1.23856i | 1.40432 | + | 0.0623975i | ||||
\(395\) | 19.0165 | + | 13.3006i | 0.956823 | + | 0.669224i | ||||
\(396\) | 8.07852 | − | 8.46737i | 0.405961 | − | 0.425501i | ||||
\(397\) | 2.16428 | − | 2.97888i | 0.108622 | − | 0.149506i | −0.751245 | − | 0.660024i | \(-0.770546\pi\) |
0.859867 | + | 0.510518i | \(0.170546\pi\) | |||||||
\(398\) | 1.81544 | + | 2.74743i | 0.0909998 | + | 0.137716i | ||||
\(399\) | 0.0684106 | − | 0.377085i | 0.00342482 | − | 0.0188779i | ||||
\(400\) | 14.3586 | + | 13.9223i | 0.717930 | + | 0.696115i | ||||
\(401\) | − | 9.19832i | − | 0.459342i | −0.973268 | − | 0.229671i | \(-0.926235\pi\) | ||
0.973268 | − | 0.229671i | \(-0.0737650\pi\) | |||||||
\(402\) | −19.8483 | + | 8.49598i | −0.989943 | + | 0.423741i | ||||
\(403\) | −34.2789 | − | 24.9051i | −1.70756 | − | 1.24061i | ||||
\(404\) | −11.8748 | − | 5.06216i | −0.590794 | − | 0.251852i | ||||
\(405\) | 1.43912 | − | 20.0731i | 0.0715106 | − | 0.997440i | ||||
\(406\) | −0.0591906 | + | 1.33214i | −0.00293758 | + | 0.0661130i | ||||
\(407\) | − | 3.03410i | − | 0.150395i | ||||||
\(408\) | 0.0365236 | + | 24.6577i | 0.00180819 | + | 1.22074i | ||||
\(409\) | 7.92244 | + | 24.3827i | 0.391739 | + | 1.20565i | 0.931472 | + | 0.363813i | \(0.118525\pi\) |
−0.539733 | + | 0.841836i | \(0.681475\pi\) | |||||||
\(410\) | 16.7263 | + | 12.8410i | 0.826053 | + | 0.634173i | ||||
\(411\) | 9.78959 | − | 18.1944i | 0.482885 | − | 0.897463i | ||||
\(412\) | 32.8499 | − | 19.6694i | 1.61840 | − | 0.969042i | ||||
\(413\) | 3.29734 | + | 10.1482i | 0.162252 | + | 0.499359i | ||||
\(414\) | −5.75047 | − | 25.1272i | −0.282620 | − | 1.23494i | ||||
\(415\) | −24.1526 | + | 18.2202i | −1.18560 | + | 0.894395i | ||||
\(416\) | −37.8466 | + | 3.49716i | −1.85558 | + | 0.171462i | ||||
\(417\) | −3.48976 | − | 7.24560i | −0.170894 | − | 0.354818i | ||||
\(418\) | 0.329845 | − | 0.414017i | 0.0161333 | − | 0.0202502i | ||||
\(419\) | 11.9429 | − | 8.67699i | 0.583446 | − | 0.423899i | −0.256518 | − | 0.966539i | \(-0.582575\pi\) |
0.839965 | + | 0.542641i | \(0.182575\pi\) | |||||||
\(420\) | −3.29633 | − | 8.30053i | −0.160845 | − | 0.405024i | ||||
\(421\) | 12.4681 | + | 9.05862i | 0.607659 | + | 0.441490i | 0.848589 | − | 0.529052i | \(-0.177452\pi\) |
−0.240930 | + | 0.970543i | \(0.577452\pi\) | |||||||
\(422\) | −25.6073 | + | 7.08030i | −1.24654 | + | 0.344663i | ||||
\(423\) | 10.7978 | + | 8.60908i | 0.525005 | + | 0.418588i | ||||
\(424\) | 6.20919 | − | 12.9408i | 0.301545 | − | 0.628461i | ||||
\(425\) | 19.8149 | − | 15.5148i | 0.961165 | − | 0.752577i | ||||
\(426\) | 21.4208 | + | 24.4920i | 1.03784 | + | 1.18664i | ||||
\(427\) | 2.20478 | − | 6.78562i | 0.106697 | − | 0.328379i | ||||
\(428\) | 20.4259 | + | 8.70744i | 0.987323 | + | 0.420890i | ||||
\(429\) | 16.4058 | − | 15.6871i | 0.792077 | − | 0.757382i | ||||
\(430\) | −8.76642 | − | 12.7619i | −0.422754 | − | 0.615432i | ||||
\(431\) | −23.5065 | + | 17.0785i | −1.13227 | + | 0.822642i | −0.986024 | − | 0.166606i | \(-0.946719\pi\) |
−0.146246 | + | 0.989248i | \(0.546719\pi\) | |||||||
\(432\) | 20.7047 | + | 1.82044i | 0.996157 | + | 0.0875858i | ||||
\(433\) | 5.72783 | + | 7.88369i | 0.275262 | + | 0.378866i | 0.924157 | − | 0.382012i | \(-0.124769\pi\) |
−0.648895 | + | 0.760878i | \(0.724769\pi\) | |||||||
\(434\) | 9.62894 | + | 3.60857i | 0.462204 | + | 0.173217i | ||||
\(435\) | 0.481670 | + | 3.13039i | 0.0230943 | + | 0.150091i | ||||
\(436\) | −8.83672 | − | 0.786832i | −0.423202 | − | 0.0376824i | ||||
\(437\) | −0.360294 | − | 1.10887i | −0.0172352 | − | 0.0530445i | ||||
\(438\) | 10.2334 | + | 6.10681i | 0.488968 | + | 0.291795i | ||||
\(439\) | 1.52703 | + | 0.496161i | 0.0728810 | + | 0.0236805i | 0.345231 | − | 0.938518i | \(-0.387801\pi\) |
−0.272350 | + | 0.962198i | \(0.587801\pi\) | |||||||
\(440\) | 1.41834 | − | 12.2542i | 0.0676166 | − | 0.584195i | ||||
\(441\) | 0.761463 | − | 16.9947i | 0.0362601 | − | 0.809272i | ||||
\(442\) | −2.12293 | + | 47.7786i | −0.100977 | + | 2.27259i | ||||
\(443\) | − | 35.3206i | − | 1.67813i | −0.544028 | − | 0.839067i | \(-0.683101\pi\) | ||
0.544028 | − | 0.839067i | \(-0.316899\pi\) | |||||||
\(444\) | 4.20961 | − | 3.36398i | 0.199779 | − | 0.159647i | ||||
\(445\) | 1.23142 | − | 4.03541i | 0.0583751 | − | 0.191297i | ||||
\(446\) | 0.00470054 | + | 0.0170004i | 0.000222577 | + | 0.000804994i | ||||
\(447\) | 0.447673 | − | 0.428064i | 0.0211742 | − | 0.0202467i | ||||
\(448\) | 8.62653 | − | 3.26575i | 0.407565 | − | 0.154292i | ||||
\(449\) | 8.67343i | 0.409324i | 0.978833 | + | 0.204662i | \(0.0656096\pi\) | ||||
−0.978833 | + | 0.204662i | \(0.934390\pi\) | |||||||
\(450\) | −11.5382 | − | 17.8008i | −0.543918 | − | 0.839138i | ||||
\(451\) | − | 13.0064i | − | 0.612449i | ||||||
\(452\) | 13.2974 | + | 1.18402i | 0.625459 | + | 0.0556916i | ||||
\(453\) | 13.1233 | − | 12.5485i | 0.616586 | − | 0.589578i | ||||
\(454\) | −9.11522 | + | 2.52032i | −0.427799 | + | 0.118284i | ||||
\(455\) | −5.64831 | − | 16.3758i | −0.264797 | − | 0.767712i | ||||
\(456\) | 0.940127 | − | 0.00139254i | 0.0440255 | − | 6.52116e-5i | ||||
\(457\) | − | 30.3517i | − | 1.41979i | −0.704307 | − | 0.709896i | \(-0.748742\pi\) | ||
0.704307 | − | 0.709896i | \(-0.251258\pi\) | |||||||
\(458\) | −38.7409 | − | 1.72136i | −1.81024 | − | 0.0804340i | ||||
\(459\) | 5.81573 | − | 25.4987i | 0.271455 | − | 1.19018i | ||||
\(460\) | −20.7966 | − | 17.4864i | −0.969647 | − | 0.815307i | ||||
\(461\) | −7.88600 | − | 2.56232i | −0.367288 | − | 0.119339i | 0.119558 | − | 0.992827i | \(-0.461852\pi\) |
−0.486845 | + | 0.873488i | \(0.661852\pi\) | |||||||
\(462\) | −2.82291 | + | 4.73043i | −0.131334 | + | 0.220079i | ||||
\(463\) | −10.0138 | − | 30.8192i | −0.465380 | − | 1.43229i | −0.858504 | − | 0.512806i | \(-0.828606\pi\) |
0.393125 | − | 0.919485i | \(-0.371394\pi\) | |||||||
\(464\) | −3.24065 | + | 0.445267i | −0.150443 | + | 0.0206710i | ||||
\(465\) | 24.1063 | + | 3.92706i | 1.11790 | + | 0.182113i | ||||
\(466\) | −3.76308 | + | 10.0412i | −0.174321 | + | 0.465151i | ||||
\(467\) | −3.08912 | − | 4.25181i | −0.142947 | − | 0.196750i | 0.731540 | − | 0.681799i | \(-0.238802\pi\) |
−0.874487 | + | 0.485048i | \(0.838802\pi\) | |||||||
\(468\) | 39.9542 | + | 5.36918i | 1.84689 | + | 0.248190i | ||||
\(469\) | 8.22182 | − | 5.97350i | 0.379649 | − | 0.275831i | ||||
\(470\) | 14.5516 | + | 0.384593i | 0.671216 | + | 0.0177400i | ||||
\(471\) | 6.78374 | − | 6.48660i | 0.312578 | − | 0.298887i | ||||
\(472\) | −23.0324 | + | 12.4367i | −1.06015 | + | 0.572447i | ||||
\(473\) | −2.95103 | + | 9.08235i | −0.135689 | + | 0.417607i | ||||
\(474\) | 19.1351 | − | 16.7357i | 0.878906 | − | 0.768696i | ||||
\(475\) | −0.591532 | − | 0.755485i | −0.0271414 | − | 0.0346640i | ||||
\(476\) | −2.59351 | − | 11.3132i | −0.118873 | − | 0.518540i | ||||
\(477\) | −9.49078 | + | 11.9036i | −0.434553 | + | 0.545029i | ||||
\(478\) | −0.0164938 | − | 0.0596533i | −0.000754411 | − | 0.00272848i | ||||
\(479\) | 30.1909 | + | 21.9350i | 1.37946 | + | 1.00223i | 0.996931 | + | 0.0782895i | \(0.0249459\pi\) |
0.382526 | + | 0.923945i | \(0.375054\pi\) | |||||||
\(480\) | 18.5744 | − | 11.6186i | 0.847800 | − | 0.530316i | ||||
\(481\) | 8.45556 | − | 6.14333i | 0.385540 | − | 0.280112i | ||||
\(482\) | 2.85372 | + | 2.27354i | 0.129983 | + | 0.103557i | ||||
\(483\) | 5.26506 | + | 10.9316i | 0.239569 | + | 0.497403i | ||||
\(484\) | 12.3470 | − | 7.39299i | 0.561229 | − | 0.336045i | ||||
\(485\) | −16.1672 | − | 11.3077i | −0.734114 | − | 0.513456i | ||||
\(486\) | −20.9714 | − | 6.79696i | −0.951284 | − | 0.308317i | ||||
\(487\) | 6.48104 | + | 19.9466i | 0.293684 | + | 0.903866i | 0.983660 | + | 0.180034i | \(0.0576208\pi\) |
−0.689977 | + | 0.723832i | \(0.742379\pi\) | |||||||
\(488\) | 17.3474 | + | 2.32462i | 0.785279 | + | 0.105231i | ||||
\(489\) | −15.4479 | + | 28.7105i | −0.698577 | + | 1.29834i | ||||
\(490\) | −10.1532 | − | 14.7807i | −0.458674 | − | 0.667723i | ||||
\(491\) | −0.931450 | − | 2.86671i | −0.0420358 | − | 0.129373i | 0.927836 | − | 0.372988i | \(-0.121667\pi\) |
−0.969872 | + | 0.243615i | \(0.921667\pi\) | |||||||
\(492\) | 18.0455 | − | 14.4205i | 0.813556 | − | 0.650128i | ||||
\(493\) | 4.11606i | 0.185378i | ||||||||
\(494\) | 1.82166 | + | 0.0809411i | 0.0819602 | + | 0.00364171i | ||||
\(495\) | −4.37522 | + | 12.3311i | −0.196652 | + | 0.554242i | ||||
\(496\) | −4.45680 | + | 24.8282i | −0.200116 | + | 1.11482i | ||||
\(497\) | −12.3908 | − | 9.00245i | −0.555804 | − | 0.403815i | ||||
\(498\) | 13.0417 | + | 30.4680i | 0.584413 | + | 1.36530i | ||||
\(499\) | − | 20.4180i | − | 0.914033i | −0.889458 | − | 0.457017i | \(-0.848918\pi\) | ||
0.889458 | − | 0.457017i | \(-0.151082\pi\) | |||||||
\(500\) | −21.0125 | − | 7.64697i | −0.939706 | − | 0.341983i | ||||
\(501\) | −4.14621 | + | 22.8543i | −0.185239 | + | 1.02105i | ||||
\(502\) | 26.8851 | − | 17.7651i | 1.19994 | − | 0.792896i | ||||
\(503\) | −18.7210 | + | 25.7673i | −0.834729 | + | 1.14891i | 0.152295 | + | 0.988335i | \(0.451334\pi\) |
−0.987024 | + | 0.160571i | \(0.948666\pi\) | |||||||
\(504\) | −9.69296 | + | 1.32814i | −0.431759 | + | 0.0591600i | ||||
\(505\) | 14.4301 | − | 0.259483i | 0.642132 | − | 0.0115468i | ||||
\(506\) | −0.743920 | + | 16.7426i | −0.0330713 | + | 0.744301i | ||||
\(507\) | 54.7802 | + | 9.93819i | 2.43287 | + | 0.441371i | ||||
\(508\) | 3.13765 | + | 2.73601i | 0.139211 | + | 0.121391i | ||||
\(509\) | −4.72783 | + | 1.53616i | −0.209557 | + | 0.0680893i | −0.411915 | − | 0.911222i | \(-0.635140\pi\) |
0.202357 | + | 0.979312i | \(0.435140\pi\) | |||||||
\(510\) | −11.3023 | − | 25.1449i | −0.500474 | − | 1.11343i | ||||
\(511\) | −5.33490 | − | 1.73342i | −0.236002 | − | 0.0766818i | ||||
\(512\) | 11.6888 | + | 19.3745i | 0.516575 | + | 0.856242i | ||||
\(513\) | −0.972190 | − | 0.221737i | −0.0429232 | − | 0.00978991i | ||||
\(514\) | −8.23529 | + | 5.44170i | −0.363243 | + | 0.240023i | ||||
\(515\) | −24.5350 | + | 35.0790i | −1.08114 | + | 1.54577i | ||||
\(516\) | −15.8730 | + | 5.97544i | −0.698770 | + | 0.263054i | ||||
\(517\) | −5.27747 | − | 7.26381i | −0.232103 | − | 0.319462i | ||||
\(518\) | −1.58052 | + | 1.98385i | −0.0694442 | + | 0.0871654i | ||||
\(519\) | 33.1322 | − | 15.9578i | 1.45434 | − | 0.700468i | ||||
\(520\) | 37.0222 | − | 20.8591i | 1.62353 | − | 0.914730i | ||||
\(521\) | 21.1640 | − | 29.1297i | 0.927211 | − | 1.27620i | −0.0337264 | − | 0.999431i | \(-0.510737\pi\) |
0.960937 | − | 0.276766i | \(-0.0892625\pi\) | |||||||
\(522\) | 3.45574 | + | 0.309000i | 0.151253 | + | 0.0135246i | ||||
\(523\) | 4.92361 | − | 15.1533i | 0.215295 | − | 0.662609i | −0.783838 | − | 0.620965i | \(-0.786741\pi\) |
0.999133 | − | 0.0416433i | \(-0.0132593\pi\) | |||||||
\(524\) | 2.08514 | + | 9.09563i | 0.0910897 | + | 0.397344i | ||||
\(525\) | 7.15583 | + | 6.96418i | 0.312306 | + | 0.303942i | ||||
\(526\) | −26.1551 | + | 32.8295i | −1.14042 | + | 1.43143i | ||||
\(527\) | 30.1874 | + | 9.80849i | 1.31499 | + | 0.427265i | ||||
\(528\) | −12.6610 | − | 4.72349i | −0.550999 | − | 0.205564i | ||||
\(529\) | 11.2563 | + | 8.17821i | 0.489406 | + | 0.355574i | ||||
\(530\) | −0.423981 | + | 16.0419i | −0.0184166 | + | 0.696817i | ||||
\(531\) | 26.7622 | − | 7.38888i | 1.16138 | − | 0.320650i | ||||
\(532\) | −0.431339 | + | 0.0988828i | −0.0187009 | + | 0.00428711i | ||||
\(533\) | 36.2469 | − | 26.3349i | 1.57003 | − | 1.14069i | ||||
\(534\) | −3.96884 | − | 2.36842i | −0.171748 | − | 0.102492i | ||||
\(535\) | −24.8213 | + | 0.446337i | −1.07312 | + | 0.0192968i | ||||
\(536\) | 18.0440 | + | 17.2026i | 0.779384 | + | 0.743038i | ||||
\(537\) | 0.352479 | + | 2.60109i | 0.0152106 | + | 0.112245i | ||||
\(538\) | −11.6319 | − | 4.35922i | −0.501489 | − | 0.187939i | ||||
\(539\) | −3.41786 | + | 10.5191i | −0.147218 | + | 0.453090i | ||||
\(540\) | −21.9595 | + | 7.60145i | −0.944985 | + | 0.327114i | ||||
\(541\) | −1.36593 | − | 4.20391i | −0.0587261 | − | 0.180740i | 0.917390 | − | 0.397989i | \(-0.130292\pi\) |
−0.976116 | + | 0.217249i | \(0.930292\pi\) | |||||||
\(542\) | 0.156386 | − | 3.51962i | 0.00671737 | − | 0.151181i | ||||
\(543\) | −4.83473 | − | 0.877114i | −0.207478 | − | 0.0376406i | ||||
\(544\) | 26.1544 | − | 11.2527i | 1.12136 | − | 0.482454i | ||||
\(545\) | 9.37675 | − | 3.23420i | 0.401656 | − | 0.138538i | ||||
\(546\) | −18.8986 | + | 1.71098i | −0.808787 | + | 0.0732230i | ||||
\(547\) | 17.8802 | + | 12.9908i | 0.764504 | + | 0.555445i | 0.900288 | − | 0.435294i | \(-0.143355\pi\) |
−0.135785 | + | 0.990738i | \(0.543355\pi\) | |||||||
\(548\) | −23.7631 | − | 2.11590i | −1.01511 | − | 0.0903866i | ||||
\(549\) | −17.3811 | − | 6.52116i | −0.741806 | − | 0.278317i | ||||
\(550\) | 4.15108 | + | 13.1525i | 0.177002 | + | 0.560826i | ||||
\(551\) | 0.156933 | 0.00668558 | ||||||||
\(552\) | −24.0541 | + | 17.5308i | −1.02381 | + | 0.746160i | ||||
\(553\) | −7.03345 | + | 9.68071i | −0.299093 | + | 0.411666i | ||||
\(554\) | −27.4039 | + | 7.57706i | −1.16428 | + | 0.321918i | ||||
\(555\) | −2.75877 | + | 5.35590i | −0.117103 | + | 0.227345i | ||||
\(556\) | −6.10318 | + | 6.99910i | −0.258832 | + | 0.296828i | ||||
\(557\) | −19.4137 | −0.822586 | −0.411293 | − | 0.911503i | \(-0.634923\pi\) | ||||
−0.411293 | + | 0.911503i | \(0.634923\pi\) | |||||||
\(558\) | 10.5012 | − | 24.6082i | 0.444550 | − | 1.04175i | ||||
\(559\) | −31.2862 | + | 10.1655i | −1.32326 | + | 0.429955i | ||||
\(560\) | −7.31082 | + | 7.27356i | −0.308938 | + | 0.307364i | ||||
\(561\) | −8.05691 | + | 14.9741i | −0.340163 | + | 0.632208i | ||||
\(562\) | 6.60134 | + | 2.47394i | 0.278461 | + | 0.104357i | ||||
\(563\) | 13.4481 | − | 4.36954i | 0.566768 | − | 0.184154i | −0.0115960 | − | 0.999933i | \(-0.503691\pi\) |
0.578364 | + | 0.815779i | \(0.303691\pi\) | |||||||
\(564\) | 4.22679 | − | 15.3757i | 0.177980 | − | 0.647432i | ||||
\(565\) | −14.1101 | + | 4.86680i | −0.593615 | + | 0.204748i | ||||
\(566\) | 9.77121 | − | 26.0731i | 0.410715 | − | 1.09593i | ||||
\(567\) | 10.3354 | + | 0.928038i | 0.434047 | + | 0.0389739i | ||||
\(568\) | 16.2532 | − | 33.8739i | 0.681971 | − | 1.42132i | ||||
\(569\) | −23.4750 | − | 32.3105i | −0.984121 | − | 1.35453i | −0.934579 | − | 0.355755i | \(-0.884224\pi\) |
−0.0495421 | − | 0.998772i | \(-0.515776\pi\) | |||||||
\(570\) | −0.958700 | + | 0.430924i | −0.0401555 | + | 0.0180494i | ||||
\(571\) | 11.5702 | − | 15.9250i | 0.484196 | − | 0.666439i | −0.495108 | − | 0.868831i | \(-0.664872\pi\) |
0.979305 | + | 0.202392i | \(0.0648716\pi\) | |||||||
\(572\) | −24.1109 | − | 10.2783i | −1.00813 | − | 0.429759i | ||||
\(573\) | 10.4942 | − | 19.5039i | 0.438400 | − | 0.814786i | ||||
\(574\) | −6.77530 | + | 8.50427i | −0.282796 | + | 0.354961i | ||||
\(575\) | 29.2103 | + | 8.34262i | 1.21815 | + | 0.347911i | ||||
\(576\) | −7.48399 | − | 22.8033i | −0.311833 | − | 0.950137i | ||||
\(577\) | −23.0353 | − | 7.48463i | −0.958973 | − | 0.311589i | −0.212616 | − | 0.977136i | \(-0.568198\pi\) |
−0.746356 | + | 0.665547i | \(0.768198\pi\) | |||||||
\(578\) | −3.14077 | − | 11.3592i | −0.130639 | − | 0.472482i | ||||
\(579\) | −14.9448 | + | 14.2902i | −0.621085 | + | 0.593880i | ||||
\(580\) | 3.10344 | − | 1.93488i | 0.128864 | − | 0.0803413i | ||||
\(581\) | −9.16960 | − | 12.6209i | −0.380419 | − | 0.523602i | ||||
\(582\) | −16.2681 | + | 14.2281i | −0.674333 | + | 0.589776i | ||||
\(583\) | 8.00773 | − | 5.81796i | 0.331646 | − | 0.240955i | ||||
\(584\) | 1.82763 | − | 13.6386i | 0.0756280 | − | 0.564371i | ||||
\(585\) | −43.2236 | + | 12.7744i | −1.78707 | + | 0.528158i | ||||
\(586\) | −21.9687 | + | 14.5164i | −0.907518 | + | 0.599669i | ||||
\(587\) | −16.6636 | + | 5.41433i | −0.687781 | + | 0.223473i | −0.631999 | − | 0.774969i | \(-0.717765\pi\) |
−0.0557820 | + | 0.998443i | \(0.517765\pi\) | |||||||
\(588\) | −18.3840 | + | 6.92071i | −0.758143 | + | 0.285405i | ||||
\(589\) | 0.373969 | − | 1.15096i | 0.0154091 | − | 0.0474244i | ||||
\(590\) | 17.8212 | − | 23.2133i | 0.733687 | − | 0.955678i | ||||
\(591\) | 4.58895 | + | 33.8638i | 0.188764 | + | 1.39297i | ||||
\(592\) | −5.48488 | − | 2.93808i | −0.225427 | − | 0.120754i | ||||
\(593\) | −25.7406 | −1.05704 | −0.528520 | − | 0.848921i | \(-0.677253\pi\) | ||||
−0.528520 | + | 0.848921i | \(0.677253\pi\) | |||||||
\(594\) | 11.9670 | + | 7.88851i | 0.491013 | + | 0.323669i | ||||
\(595\) | 7.81500 | + | 10.3595i | 0.320384 | + | 0.424698i | ||||
\(596\) | −0.657928 | − | 0.280471i | −0.0269498 | − | 0.0114885i | ||||
\(597\) | −2.91499 | + | 2.78731i | −0.119303 | + | 0.114077i | ||||
\(598\) | −48.1653 | + | 31.8266i | −1.96963 | + | 1.30149i | ||||
\(599\) | 9.57286 | 0.391137 | 0.195568 | − | 0.980690i | \(-0.437345\pi\) | ||||
0.195568 | + | 0.980690i | \(0.437345\pi\) | |||||||
\(600\) | −13.6459 | + | 20.3418i | −0.557090 | + | 0.830452i | ||||
\(601\) | 34.1729 | 1.39394 | 0.696971 | − | 0.717100i | \(-0.254531\pi\) | ||||
0.696971 | + | 0.717100i | \(0.254531\pi\) | |||||||
\(602\) | 6.66070 | − | 4.40125i | 0.271470 | − | 0.179382i | ||||
\(603\) | −14.5694 | − | 22.0667i | −0.593311 | − | 0.898625i | ||||
\(604\) | −19.2868 | − | 8.22184i | −0.784768 | − | 0.334542i | ||||
\(605\) | −9.22180 | + | 13.1849i | −0.374919 | + | 0.536041i | ||||
\(606\) | 3.50990 | − | 15.4154i | 0.142580 | − | 0.626209i | ||||
\(607\) | −16.0111 | −0.649872 | −0.324936 | − | 0.945736i | \(-0.605343\pi\) | ||||
−0.324936 | + | 0.945736i | \(0.605343\pi\) | |||||||
\(608\) | −0.429031 | − | 0.997189i | −0.0173995 | − | 0.0404414i | ||||
\(609\) | −1.61835 | + | 0.219306i | −0.0655788 | + | 0.00888673i | ||||
\(610\) | −18.7638 | + | 5.55314i | −0.759726 | + | 0.224840i | ||||
\(611\) | 9.55748 | − | 29.4149i | 0.386654 | − | 1.19000i | ||||
\(612\) | −29.7084 | + | 5.42372i | −1.20089 | + | 0.219241i | ||||
\(613\) | −31.0863 | + | 10.1005i | −1.25556 | + | 0.407957i | −0.859911 | − | 0.510444i | \(-0.829481\pi\) |
−0.395652 | + | 0.918401i | \(0.629481\pi\) | |||||||
\(614\) | −31.9026 | + | 21.0806i | −1.28749 | + | 0.850743i | ||||
\(615\) | −11.8262 | + | 22.9594i | −0.476877 | + | 0.925812i | ||||
\(616\) | 6.30454 | + | 0.844834i | 0.254017 | + | 0.0340393i | ||||
\(617\) | 5.92441 | − | 4.30433i | 0.238508 | − | 0.173286i | −0.462111 | − | 0.886822i | \(-0.652908\pi\) |
0.700618 | + | 0.713536i | \(0.252908\pi\) | |||||||
\(618\) | 30.8717 | + | 35.2979i | 1.24184 | + | 1.41989i | ||||
\(619\) | −1.30111 | − | 1.79082i | −0.0522959 | − | 0.0719792i | 0.782068 | − | 0.623193i | \(-0.214165\pi\) |
−0.834364 | + | 0.551214i | \(0.814165\pi\) | |||||||
\(620\) | −6.79504 | − | 27.3716i | −0.272896 | − | 1.09927i | ||||
\(621\) | 29.0276 | − | 12.4123i | 1.16484 | − | 0.498090i | ||||
\(622\) | 4.74487 | + | 17.1608i | 0.190252 | + | 0.688084i | ||||
\(623\) | 2.06905 | + | 0.672277i | 0.0828949 | + | 0.0269342i | ||||
\(624\) | −12.4718 | − | 44.8480i | −0.499272 | − | 1.79536i | ||||
\(625\) | 24.9354 | − | 1.79646i | 0.997415 | − | 0.0718583i | ||||
\(626\) | 13.0154 | − | 16.3367i | 0.520198 | − | 0.652946i | ||||
\(627\) | 0.570919 | + | 0.307186i | 0.0228003 | + | 0.0122678i | ||||
\(628\) | −9.96981 | − | 4.25007i | −0.397839 | − | 0.169596i | ||||
\(629\) | −4.60207 | + | 6.33421i | −0.183497 | + | 0.252562i | ||||
\(630\) | 9.28425 | − | 5.78356i | 0.369893 | − | 0.230423i | ||||
\(631\) | 14.1022 | + | 19.4100i | 0.561400 | + | 0.772700i | 0.991504 | − | 0.130079i | \(-0.0415231\pi\) |
−0.430104 | + | 0.902779i | \(0.641523\pi\) | |||||||
\(632\) | −26.4651 | − | 12.6984i | −1.05273 | − | 0.505113i | ||||
\(633\) | −14.1197 | − | 29.3160i | −0.561209 | − | 1.16521i | ||||
\(634\) | 7.56238 | − | 20.1791i | 0.300341 | − | 0.801415i | ||||
\(635\) | −4.45172 | − | 1.35846i | −0.176661 | − | 0.0539090i | ||||
\(636\) | 16.9504 | + | 4.65968i | 0.672126 | + | 0.184768i | ||||
\(637\) | −36.2354 | + | 11.7736i | −1.43570 | + | 0.466486i | ||||
\(638\) | −2.11230 | − | 0.791610i | −0.0836266 | − | 0.0313402i | ||||
\(639\) | −24.8431 | + | 31.1590i | −0.982780 | + | 1.23263i | ||||
\(640\) | −20.7790 | − | 14.4303i | −0.821361 | − | 0.570409i | ||||
\(641\) | 8.66816 | − | 2.81645i | 0.342372 | − | 0.111243i | −0.132784 | − | 0.991145i | \(-0.542392\pi\) |
0.475156 | + | 0.879902i | \(0.342392\pi\) | |||||||
\(642\) | −6.03739 | + | 26.5161i | −0.238277 | + | 1.04651i | ||||
\(643\) | 9.01478 | 0.355508 | 0.177754 | − | 0.984075i | \(-0.443117\pi\) | ||||
0.177754 | + | 0.984075i | \(0.443117\pi\) | |||||||
\(644\) | 9.20797 | − | 10.5597i | 0.362845 | − | 0.416109i | ||||
\(645\) | 13.4674 | − | 13.3492i | 0.530279 | − | 0.525625i | ||||
\(646\) | −1.31658 | + | 0.364028i | −0.0518002 | + | 0.0143225i | ||||
\(647\) | 26.1377 | − | 35.9754i | 1.02758 | − | 1.41434i | 0.120828 | − | 0.992673i | \(-0.461445\pi\) |
0.906751 | − | 0.421667i | \(-0.138555\pi\) | |||||||
\(648\) | 2.32335 | + | 25.3496i | 0.0912698 | + | 0.995826i | ||||
\(649\) | −18.0508 | −0.708555 | ||||||||
\(650\) | −28.2491 | + | 38.1991i | −1.10802 | + | 1.49829i | ||||
\(651\) | −2.24809 | + | 12.3917i | −0.0881096 | + | 0.485668i | ||||
\(652\) | 37.4979 | + | 3.33886i | 1.46853 | + | 0.130760i | ||||
\(653\) | 13.2233 | + | 9.60732i | 0.517469 | + | 0.375963i | 0.815650 | − | 0.578546i | \(-0.196380\pi\) |
−0.298181 | + | 0.954509i | \(0.596380\pi\) | |||||||
\(654\) | −0.979699 | − | 10.8213i | −0.0383093 | − | 0.423146i | ||||
\(655\) | −6.28313 | − | 8.32887i | −0.245502 | − | 0.325436i | ||||
\(656\) | −23.5123 | − | 12.5948i | −0.918002 | − | 0.491744i | ||||
\(657\) | −5.12699 | + | 13.6651i | −0.200023 | + | 0.533128i | ||||
\(658\) | −0.333182 | + | 7.49858i | −0.0129888 | + | 0.292325i | ||||
\(659\) | −1.96936 | − | 6.06106i | −0.0767153 | − | 0.236106i | 0.905344 | − | 0.424680i | \(-0.139613\pi\) |
−0.982059 | + | 0.188574i | \(0.939613\pi\) | |||||||
\(660\) | 15.0776 | − | 0.964241i | 0.586896 | − | 0.0375330i | ||||
\(661\) | 8.11021 | − | 24.9607i | 0.315451 | − | 0.970858i | −0.660118 | − | 0.751162i | \(-0.729494\pi\) |
0.975569 | − | 0.219695i | \(-0.0705064\pi\) | |||||||
\(662\) | 15.0039 | + | 5.62290i | 0.583143 | + | 0.218540i | ||||
\(663\) | −58.0438 | + | 7.86563i | −2.25423 | + | 0.305476i | ||||
\(664\) | 26.4067 | − | 27.6984i | 1.02478 | − | 1.07491i | ||||
\(665\) | 0.394977 | − | 0.297963i | 0.0153166 | − | 0.0115545i | ||||
\(666\) | 4.97255 | + | 4.33930i | 0.192682 | + | 0.168144i | ||||
\(667\) | −4.01962 | + | 2.92042i | −0.155640 | + | 0.113079i | ||||
\(668\) | 26.1425 | − | 5.99306i | 1.01148 | − | 0.231878i | ||||
\(669\) | −0.0194626 | + | 0.00937396i | −0.000752469 | + | 0.000362418i | ||||
\(670\) | −26.2718 | − | 9.31054i | −1.01497 | − | 0.359697i | ||||
\(671\) | 9.76462 | + | 7.09441i | 0.376959 | + | 0.273877i | ||||
\(672\) | 5.81784 | + | 9.68381i | 0.224428 | + | 0.373561i | ||||
\(673\) | −22.3063 | − | 7.24774i | −0.859843 | − | 0.279380i | −0.154280 | − | 0.988027i | \(-0.549306\pi\) |
−0.705563 | + | 0.708647i | \(0.749306\pi\) | |||||||
\(674\) | 8.38881 | − | 10.5295i | 0.323125 | − | 0.405582i | ||||
\(675\) | 18.9354 | − | 17.7891i | 0.728823 | − | 0.684702i | ||||
\(676\) | −14.3650 | − | 62.6617i | −0.552499 | − | 2.41007i | ||||
\(677\) | −9.38554 | + | 28.8857i | −0.360716 | + | 1.11017i | 0.591905 | + | 0.806008i | \(0.298376\pi\) |
−0.952621 | + | 0.304161i | \(0.901624\pi\) | |||||||
\(678\) | 1.47424 | + | 16.2838i | 0.0566180 | + | 0.625376i | ||||
\(679\) | 5.97961 | − | 8.23023i | 0.229476 | − | 0.315847i | ||||
\(680\) | −21.5479 | + | 23.4314i | −0.826325 | + | 0.898552i | ||||
\(681\) | −5.02609 | − | 10.4354i | −0.192600 | − | 0.399885i | ||||
\(682\) | −10.8393 | + | 13.6053i | −0.415057 | + | 0.520974i | ||||
\(683\) | 12.3519 | + | 17.0010i | 0.472633 | + | 0.650523i | 0.977068 | − | 0.212926i | \(-0.0682993\pi\) |
−0.504435 | + | 0.863449i | \(0.668299\pi\) | |||||||
\(684\) | 0.206791 | + | 1.13270i | 0.00790684 | + | 0.0433097i | ||||
\(685\) | 25.2153 | − | 8.69719i | 0.963427 | − | 0.332302i | ||||
\(686\) | 17.2373 | − | 11.3900i | 0.658123 | − | 0.434873i | ||||
\(687\) | −6.37780 | − | 47.0644i | −0.243328 | − | 1.79562i | ||||
\(688\) | 13.5609 | + | 14.1296i | 0.517005 | + | 0.538686i | ||||
\(689\) | 32.4274 | + | 10.5363i | 1.23539 | + | 0.401402i | ||||
\(690\) | 16.5365 | − | 28.8782i | 0.629534 | − | 1.09938i | ||||
\(691\) | 18.9625 | − | 6.16128i | 0.721366 | − | 0.234386i | 0.0747509 | − | 0.997202i | \(-0.476184\pi\) |
0.646616 | + | 0.762816i | \(0.276184\pi\) | |||||||
\(692\) | −32.0051 | − | 27.9083i | −1.21665 | − | 1.06091i | ||||
\(693\) | −6.31679 | − | 2.36998i | −0.239955 | − | 0.0900281i | ||||
\(694\) | −0.890338 | + | 20.0379i | −0.0337968 | + | 0.760629i | ||||
\(695\) | 3.03030 | − | 9.93038i | 0.114946 | − | 0.376681i | ||||
\(696\) | −1.24365 | − | 3.80834i | −0.0471403 | − | 0.144355i | ||||
\(697\) | −19.7279 | + | 27.1532i | −0.747249 | + | 1.02850i | ||||
\(698\) | 2.67800 | − | 1.76956i | 0.101364 | − | 0.0669789i | ||||
\(699\) | −12.9222 | − | 2.34435i | −0.488764 | − | 0.0886714i | ||||
\(700\) | 4.13723 | − | 10.7622i | 0.156372 | − | 0.406772i | ||||
\(701\) | 8.84209i | 0.333961i | 0.985960 | + | 0.166981i | \(0.0534017\pi\) | ||||
−0.985960 | + | 0.166981i | \(0.946598\pi\) | |||||||
\(702\) | 2.24633 | + | 49.3225i | 0.0847823 | + | 1.86156i | ||||
\(703\) | 0.241505 | + | 0.175463i | 0.00910853 | + | 0.00661773i | ||||
\(704\) | 0.744623 | + | 15.5861i | 0.0280640 | + | 0.587425i | ||||
\(705\) | 2.71131 | + | 17.6209i | 0.102114 | + | 0.663640i | ||||
\(706\) | −32.8831 | − | 1.46109i | −1.23757 | − | 0.0549887i | ||||
\(707\) | 7.44192i | 0.279882i | ||||||||
\(708\) | −20.0133 | − | 25.0442i | −0.752146 | − | 0.941219i | ||||
\(709\) | 4.47318 | + | 13.7670i | 0.167994 | + | 0.517032i | 0.999244 | − | 0.0388658i | \(-0.0123745\pi\) |
−0.831250 | + | 0.555898i | \(0.812374\pi\) | |||||||
\(710\) | −1.10982 | + | 41.9915i | −0.0416507 | + | 1.57591i | ||||
\(711\) | 24.3439 | + | 19.4095i | 0.912969 | + | 0.727913i | ||||
\(712\) | −0.708817 | + | 5.28952i | −0.0265640 | + | 0.198233i | ||||
\(713\) | 11.8399 | + | 36.4394i | 0.443407 | + | 1.36467i | ||||
\(714\) | 13.0683 | − | 5.59384i | 0.489070 | − | 0.209344i | ||||
\(715\) | 29.2993 | − | 0.526860i | 1.09573 | − | 0.0197034i | ||||
\(716\) | 2.60041 | − | 1.55704i | 0.0971820 | − | 0.0581893i | ||||
\(717\) | 0.0682929 | − | 0.0328925i | 0.00255045 | − | 0.00122839i | ||||
\(718\) | −9.24768 | − | 7.36757i | −0.345120 | − | 0.274955i | ||||
\(719\) | −12.7318 | + | 9.25021i | −0.474817 | + | 0.344975i | −0.799316 | − | 0.600911i | \(-0.794804\pi\) |
0.324499 | + | 0.945886i | \(0.394804\pi\) | |||||||
\(720\) | 18.0547 | + | 19.8501i | 0.672860 | + | 0.739770i | ||||
\(721\) | −17.8577 | − | 12.9744i | −0.665054 | − | 0.483190i | ||||
\(722\) | −7.14689 | − | 25.8481i | −0.265980 | − | 0.961968i | ||||
\(723\) | −2.11736 | + | 3.93521i | −0.0787455 | + | 0.146352i | ||||
\(724\) | 1.26781 | + | 5.53033i | 0.0471177 | + | 0.205533i | ||||
\(725\) | −2.28290 | + | 3.39224i | −0.0847846 | + | 0.125985i | ||||
\(726\) | 11.6035 | + | 13.2671i | 0.430647 | + | 0.492390i | ||||
\(727\) | 9.09742 | − | 27.9990i | 0.337404 | − | 1.03842i | −0.628121 | − | 0.778116i | \(-0.716176\pi\) |
0.965525 | − | 0.260309i | \(-0.0838243\pi\) | |||||||
\(728\) | 10.4108 | + | 19.2803i | 0.385848 | + | 0.714577i | ||||
\(729\) | 3.61595 | − | 26.7568i | 0.133924 | − | 0.990992i | ||||
\(730\) | 4.36592 | + | 14.7523i | 0.161590 | + | 0.546006i | ||||
\(731\) | 19.9367 | − | 14.4849i | 0.737386 | − | 0.535742i | ||||
\(732\) | 0.983241 | + | 21.4135i | 0.0363416 | + | 0.791464i | ||||
\(733\) | −11.2498 | − | 15.4840i | −0.415520 | − | 0.571915i | 0.549034 | − | 0.835800i | \(-0.314996\pi\) |
−0.964554 | + | 0.263886i | \(0.914996\pi\) | |||||||
\(734\) | 2.39172 | − | 6.38196i | 0.0882801 | − | 0.235562i | ||||
\(735\) | 15.5979 | − | 15.4609i | 0.575335 | − | 0.570286i | ||||
\(736\) | 29.5460 | + | 17.5576i | 1.08908 | + | 0.647180i | ||||
\(737\) | 5.31260 | + | 16.3505i | 0.195692 | + | 0.602279i | ||||
\(738\) | 21.3161 | + | 18.6015i | 0.784655 | + | 0.684730i | ||||
\(739\) | −26.1757 | − | 8.50501i | −0.962890 | − | 0.312862i | −0.214947 | − | 0.976626i | \(-0.568958\pi\) |
−0.747942 | + | 0.663764i | \(0.768958\pi\) | |||||||
\(740\) | 6.93923 | + | 0.492308i | 0.255091 | + | 0.0180976i | ||||
\(741\) | 0.299893 | + | 2.21304i | 0.0110169 | + | 0.0812980i | ||||
\(742\) | −8.26655 | − | 0.367305i | −0.303475 | − | 0.0134842i | ||||
\(743\) | − | 39.0306i | − | 1.43190i | −0.698154 | − | 0.715948i | \(-0.745995\pi\) | ||
0.698154 | − | 0.715948i | \(-0.254005\pi\) | |||||||
\(744\) | −30.8942 | + | 0.0457612i | −1.13264 | + | 0.00167769i | ||||
\(745\) | 0.799506 | − | 0.0143767i | 0.0292916 | − | 0.000526722i | ||||
\(746\) | 8.79289 | − | 2.43119i | 0.321931 | − | 0.0890123i | ||||
\(747\) | −33.8733 | + | 22.3646i | −1.23936 | + | 0.818280i | ||||
\(748\) | 19.5572 | + | 1.74140i | 0.715083 | + | 0.0636718i | ||||
\(749\) | − | 12.8009i | − | 0.467733i | ||||||
\(750\) | 4.63138 | − | 26.9917i | 0.169114 | − | 0.985596i | ||||
\(751\) | − | 5.29480i | − | 0.193210i | −0.995323 | − | 0.0966050i | \(-0.969202\pi\) | ||
0.995323 | − | 0.0966050i | \(-0.0307984\pi\) | |||||||
\(752\) | −18.2415 | + | 2.50639i | −0.665201 | + | 0.0913988i | ||||
\(753\) | 27.2754 | + | 28.5249i | 0.993971 | + | 1.03950i | ||||
\(754\) | −2.07080 | − | 7.48945i | −0.0754140 | − | 0.272750i | ||||
\(755\) | 23.4371 | − | 0.421445i | 0.852962 | − | 0.0153380i | ||||
\(756\) | −3.71538 | − | 11.3918i | −0.135127 | − | 0.414314i | ||||
\(757\) | − | 20.4730i | − | 0.744104i | −0.928212 | − | 0.372052i | \(-0.878654\pi\) | ||
0.928212 | − | 0.372052i | \(-0.121346\pi\) | |||||||
\(758\) | −1.46713 | + | 33.0191i | −0.0532885 | + | 1.19931i | ||||
\(759\) | −20.3398 | + | 2.75629i | −0.738287 | + | 0.100047i | ||||
\(760\) | 0.893369 | + | 0.821559i | 0.0324059 | + | 0.0298011i | ||||
\(761\) | 11.8334 | + | 3.84491i | 0.428961 | + | 0.139378i | 0.515537 | − | 0.856867i | \(-0.327593\pi\) |
−0.0865760 | + | 0.996245i | \(0.527593\pi\) | |||||||
\(762\) | −2.61276 | + | 4.37828i | −0.0946505 | + | 0.158608i | ||||
\(763\) | 1.58048 | + | 4.86421i | 0.0572171 | + | 0.176096i | ||||
\(764\) | −25.4734 | − | 2.26818i | −0.921595 | − | 0.0820599i | ||||
\(765\) | 27.8376 | − | 19.1070i | 1.00647 | − | 0.690816i | ||||
\(766\) | 29.4632 | + | 11.0417i | 1.06455 | + | 0.398953i | ||||
\(767\) | −36.5484 | − | 50.3046i | −1.31969 | − | 1.81639i | ||||
\(768\) | −20.7991 | + | 18.3138i | −0.750524 | + | 0.660843i | ||||
\(769\) | −1.84303 | + | 1.33904i | −0.0664614 | + | 0.0482870i | −0.620520 | − | 0.784191i | \(-0.713078\pi\) |
0.554059 | + | 0.832478i | \(0.313078\pi\) | |||||||
\(770\) | −6.81933 | + | 2.01817i | −0.245752 | + | 0.0727298i | ||||
\(771\) | −8.35483 | − | 8.73756i | −0.300892 | − | 0.314676i | ||||
\(772\) | 21.9638 | + | 9.36305i | 0.790495 | + | 0.336983i | ||||
\(773\) | −5.23724 | + | 16.1186i | −0.188370 | + | 0.579744i | −0.999990 | − | 0.00444175i | \(-0.998586\pi\) |
0.811620 | + | 0.584186i | \(0.198586\pi\) | |||||||
\(774\) | −10.6644 | − | 17.8258i | −0.383325 | − | 0.640733i | ||||
\(775\) | 19.4388 | + | 24.8265i | 0.698261 | + | 0.891795i | ||||
\(776\) | 22.4998 | + | 10.7957i | 0.807694 | + | 0.387544i | ||||
\(777\) | −2.73568 | − | 1.47195i | −0.0981420 | − | 0.0528059i | ||||
\(778\) | 47.0695 | − | 13.0145i | 1.68752 | − | 0.466592i | ||||
\(779\) | 1.03527 | + | 0.752168i | 0.0370924 | + | 0.0269492i | ||||
\(780\) | 33.2157 | + | 40.0666i | 1.18931 | + | 1.43461i | ||||
\(781\) | 20.9611 | − | 15.2291i | 0.750047 | − | 0.544941i | ||||
\(782\) | 26.9480 | − | 33.8247i | 0.963658 | − | 1.20957i | ||||
\(783\) | 0.381563 | + | 4.23212i | 0.0136359 | + | 0.151243i | ||||
\(784\) | 15.7061 | + | 16.3648i | 0.560934 | + | 0.584457i | ||||
\(785\) | 12.1152 | − | 0.217855i | 0.432410 | − | 0.00777559i | ||||
\(786\) | −10.5067 | + | 4.49735i | −0.374762 | + | 0.160415i | ||||
\(787\) | 10.7782 | + | 33.1717i | 0.384200 | + | 1.18244i | 0.937059 | + | 0.349170i | \(0.113537\pi\) |
−0.552860 | + | 0.833274i | \(0.686463\pi\) | |||||||
\(788\) | 33.8550 | − | 20.2712i | 1.20603 | − | 0.722132i | ||||
\(789\) | −45.2710 | − | 24.3583i | −1.61169 | − | 0.867180i | ||||
\(790\) | 32.8072 | + | 0.867079i | 1.16723 | + | 0.0308493i | ||||
\(791\) | −2.37829 | − | 7.31962i | −0.0845623 | − | 0.260256i | ||||
\(792\) | 2.93023 | − | 16.2890i | 0.104121 | − | 0.578804i | ||||
\(793\) | 41.5769i | 1.47644i | ||||||||
\(794\) | 0.231145 | − | 5.20215i | 0.00820304 | − | 0.184617i | ||||
\(795\) | −19.4255 | + | 2.98899i | −0.688952 | + | 0.106008i | ||||
\(796\) | 4.28405 | + | 1.82627i | 0.151844 | + | 0.0647303i | ||||
\(797\) | −25.1164 | − | 18.2481i | −0.889668 | − | 0.646382i | 0.0461233 | − | 0.998936i | \(-0.485313\pi\) |
−0.935791 | + | 0.352554i | \(0.885313\pi\) | |||||||
\(798\) | −0.213277 | − | 0.498257i | −0.00754991 | − | 0.0176381i | ||||
\(799\) | 23.1692i | 0.819667i | ||||||||
\(800\) | 27.7961 | + | 5.23219i | 0.982741 | + | 0.184986i | ||||
\(801\) | 1.98842 | − | 5.29980i | 0.0702573 | − | 0.187259i | ||||
\(802\) | −7.17145 | − | 10.8530i | −0.253233 | − | 0.383234i | ||||
\(803\) | 5.57768 | − | 7.67702i | 0.196832 | − | 0.270916i | ||||
\(804\) | −16.7950 | + | 25.4990i | −0.592314 | + | 0.899282i | ||||
\(805\) | −4.57187 | + | 14.9821i | −0.161137 | + | 0.528051i | ||||
\(806\) | −59.8627 | − | 2.65986i | −2.10857 | − | 0.0936897i | ||||
\(807\) | 2.71574 | − | 14.9694i | 0.0955984 | − | 0.526947i | ||||
\(808\) | −17.9577 | + | 3.28536i | −0.631751 | + | 0.115579i | ||||
\(809\) | −52.2498 | + | 16.9770i | −1.83700 | + | 0.596879i | −0.838343 | + | 0.545144i | \(0.816475\pi\) |
−0.998661 | + | 0.0517347i | \(0.983525\pi\) | |||||||
\(810\) | −13.9519 | − | 24.8061i | −0.490221 | − | 0.871598i | ||||
\(811\) | 29.2790 | + | 9.51333i | 1.02813 | + | 0.334058i | 0.774049 | − | 0.633126i | \(-0.218229\pi\) |
0.254076 | + | 0.967184i | \(0.418229\pi\) | |||||||
\(812\) | 0.968762 | + | 1.61793i | 0.0339969 | + | 0.0567782i | ||||
\(813\) | 4.27581 | − | 0.579425i | 0.149959 | − | 0.0203213i | ||||
\(814\) | −2.36553 | − | 3.57992i | −0.0829119 | − | 0.125476i | ||||
\(815\) | −39.7895 | + | 13.7241i | −1.39376 | + | 0.480733i | ||||
\(816\) | 19.2675 | + | 29.0650i | 0.674496 | + | 1.01748i | ||||
\(817\) | −0.552266 | − | 0.760128i | −0.0193213 | − | 0.0265935i | ||||
\(818\) | 28.3576 | + | 22.5923i | 0.991500 | + | 0.789922i | ||||
\(819\) | −6.18521 | − | 22.4025i | −0.216129 | − | 0.782807i | ||||
\(820\) | 29.7467 | + | 2.11040i | 1.03880 | + | 0.0736983i | ||||
\(821\) | 19.5449 | − | 26.9012i | 0.682122 | − | 0.938860i | −0.317835 | − | 0.948146i | \(-0.602956\pi\) |
0.999957 | + | 0.00928595i | \(0.00295585\pi\) | |||||||
\(822\) | −2.63454 | − | 29.0999i | −0.0918901 | − | 1.01497i | ||||
\(823\) | −2.31051 | + | 7.11102i | −0.0805393 | + | 0.247875i | −0.983216 | − | 0.182445i | \(-0.941599\pi\) |
0.902677 | + | 0.430319i | \(0.141599\pi\) | |||||||
\(824\) | 23.4242 | − | 48.8192i | 0.816020 | − | 1.70070i | ||||
\(825\) | −14.9452 | + | 7.87225i | −0.520325 | + | 0.274077i | ||||
\(826\) | 11.8025 | + | 9.40299i | 0.410662 | + | 0.327172i | ||||
\(827\) | −35.6940 | − | 11.5977i | −1.24120 | − | 0.403290i | −0.386441 | − | 0.922314i | \(-0.626296\pi\) |
−0.854760 | + | 0.519024i | \(0.826296\pi\) | |||||||
\(828\) | −26.3753 | − | 25.1641i | −0.916606 | − | 0.874513i | ||||
\(829\) | −19.3075 | − | 14.0277i | −0.670576 | − | 0.487202i | 0.199642 | − | 0.979869i | \(-0.436022\pi\) |
−0.870218 | + | 0.492667i | \(0.836022\pi\) | |||||||
\(830\) | −14.2921 | + | 40.3284i | −0.496086 | + | 1.39982i | ||||
\(831\) | −15.1104 | − | 31.3729i | −0.524174 | − | 1.08831i | ||||
\(832\) | −41.9284 | + | 33.6333i | −1.45361 | + | 1.16603i | ||||
\(833\) | 23.0905 | − | 16.7763i | 0.800040 | − | 0.581263i | ||||
\(834\) | −9.76656 | − | 5.82825i | −0.338188 | − | 0.201816i | ||||
\(835\) | −23.9387 | + | 18.0588i | −0.828431 | + | 0.624952i | ||||
\(836\) | 0.0663944 | − | 0.745659i | 0.00229630 | − | 0.0257892i | ||||
\(837\) | 31.9478 | + | 7.28664i | 1.10428 | + | 0.251863i | ||||
\(838\) | 7.32629 | − | 19.5491i | 0.253083 | − | 0.675314i | ||||
\(839\) | 0.447216 | − | 1.37639i | 0.0154396 | − | 0.0475182i | −0.943040 | − | 0.332680i | \(-0.892047\pi\) |
0.958479 | + | 0.285161i | \(0.0920472\pi\) | |||||||
\(840\) | −10.3608 | − | 7.22376i | −0.357482 | − | 0.249243i | ||||
\(841\) | 8.75484 | + | 26.9446i | 0.301891 | + | 0.929125i | ||||
\(842\) | 21.7736 | + | 0.967460i | 0.750368 | + | 0.0333409i | ||||
\(843\) | −1.54123 | + | 8.49539i | −0.0530828 | + | 0.292597i | ||||
\(844\) | −24.6937 | + | 28.3187i | −0.849994 | + | 0.974769i | ||||
\(845\) | 43.2859 | + | 57.3794i | 1.48908 | + | 1.97391i | ||||
\(846\) | 19.4523 | + | 1.73935i | 0.668782 | + | 0.0598002i | ||||
\(847\) | −6.71202 | − | 4.87657i | −0.230628 | − | 0.167561i | ||||
\(848\) | −2.76309 | − | 20.1098i | −0.0948848 | − | 0.690572i | ||||
\(849\) | 33.5539 | + | 6.08734i | 1.15157 | + | 0.208917i | ||||
\(850\) | 11.2834 | − | 33.7544i | 0.387019 | − | 1.15777i | ||||
\(851\) | −9.45105 | −0.323978 | ||||||||
\(852\) | 44.3694 | + | 12.1972i | 1.52007 | + | 0.417870i | ||||
\(853\) | −4.32324 | + | 5.95042i | −0.148025 | + | 0.203739i | −0.876590 | − | 0.481238i | \(-0.840187\pi\) |
0.728565 | + | 0.684976i | \(0.240187\pi\) | |||||||
\(854\) | −2.68899 | − | 9.72526i | −0.0920153 | − | 0.332792i | ||||
\(855\) | −0.728494 | − | 1.06137i | −0.0249140 | − | 0.0362979i | ||||
\(856\) | 30.8891 | − | 5.65116i | 1.05577 | − | 0.193153i | ||||
\(857\) | 27.0052 | 0.922478 | 0.461239 | − | 0.887276i | \(-0.347405\pi\) | ||||
0.461239 | + | 0.887276i | \(0.347405\pi\) | |||||||
\(858\) | 7.12659 | − | 31.2999i | 0.243298 | − | 1.06856i | ||||
\(859\) | 2.50850 | − | 0.815062i | 0.0855890 | − | 0.0278095i | −0.265910 | − | 0.963998i | \(-0.585672\pi\) |
0.351498 | + | 0.936188i | \(0.385672\pi\) | |||||||
\(860\) | −20.2932 | − | 8.22293i | −0.691993 | − | 0.280399i | ||||
\(861\) | −11.7272 | − | 6.30987i | −0.399661 | − | 0.215040i | ||||
\(862\) | −14.4200 | + | 38.4776i | −0.491147 | + | 1.31055i | ||||
\(863\) | −41.3352 | + | 13.4306i | −1.40707 | + | 0.457184i | −0.911469 | − | 0.411368i | \(-0.865051\pi\) |
−0.495598 | + | 0.868552i | \(0.665051\pi\) | |||||||
\(864\) | 25.8487 | − | 13.9945i | 0.879390 | − | 0.476102i | ||||
\(865\) | 45.4091 | + | 13.8568i | 1.54395 | + | 0.471145i | ||||
\(866\) | 12.9047 | + | 4.83622i | 0.438521 | + | 0.164341i | ||||
\(867\) | 13.0044 | − | 6.26342i | 0.441653 | − | 0.212717i | ||||
\(868\) | 14.1745 | − | 3.24946i | 0.481115 | − | 0.110294i | ||||
\(869\) | −11.8982 | − | 16.3765i | −0.403620 | − | 0.555536i | ||||
\(870\) | 3.00892 | + | 3.31799i | 0.102012 | + | 0.112490i | ||||
\(871\) | −34.8095 | + | 47.9112i | −1.17948 | + | 1.62341i | ||||
\(872\) | −11.0398 | + | 5.96116i | −0.373856 | + | 0.201870i | ||||
\(873\) | −20.6964 | − | 16.5013i | −0.700468 | − | 0.558485i | ||||
\(874\) | −1.28964 | − | 1.02745i | −0.0436226 | − | 0.0347539i | ||||
\(875\) | 0.695003 | + | 12.8722i | 0.0234954 | + | 0.435159i | ||||
\(876\) | 16.8354 | − | 0.773031i | 0.568816 | − | 0.0261183i | ||||
\(877\) | 33.4524 | + | 10.8693i | 1.12961 | + | 0.367032i | 0.813427 | − | 0.581667i | \(-0.197599\pi\) |
0.316181 | + | 0.948699i | \(0.397599\pi\) | |||||||
\(878\) | 2.18856 | − | 0.605126i | 0.0738603 | − | 0.0204220i | ||||
\(879\) | −22.2876 | − | 23.3086i | −0.751742 | − | 0.786178i | ||||
\(880\) | −7.88046 | − | 15.5644i | −0.265650 | − | 0.524677i | ||||
\(881\) | 6.25097 | + | 8.60372i | 0.210601 | + | 0.289867i | 0.901229 | − | 0.433343i | \(-0.142666\pi\) |
−0.690629 | + | 0.723210i | \(0.742666\pi\) | |||||||
\(882\) | −12.3515 | − | 20.6456i | −0.415895 | − | 0.695175i | ||||
\(883\) | 6.90843 | − | 5.01927i | 0.232487 | − | 0.168912i | −0.465443 | − | 0.885078i | \(-0.654105\pi\) |
0.697930 | + | 0.716166i | \(0.254105\pi\) | |||||||
\(884\) | 34.7456 | + | 58.0287i | 1.16862 | + | 1.95172i | ||||
\(885\) | 31.8638 | + | 16.4127i | 1.07109 | + | 0.551708i | ||||
\(886\) | −27.5377 | − | 41.6746i | −0.925146 | − | 1.40009i | ||||
\(887\) | 43.2367 | − | 14.0484i | 1.45174 | − | 0.471701i | 0.526207 | − | 0.850356i | \(-0.323614\pi\) |
0.925538 | + | 0.378656i | \(0.123614\pi\) | |||||||
\(888\) | 2.34417 | − | 7.25115i | 0.0786653 | − | 0.243333i | ||||
\(889\) | 0.741632 | − | 2.28251i | 0.0248736 | − | 0.0765529i | ||||
\(890\) | −1.69325 | − | 5.72143i | −0.0567578 | − | 0.191783i | ||||
\(891\) | −6.89597 | + | 16.1432i | −0.231024 | + | 0.540818i | ||||
\(892\) | 0.0188005 | + | 0.0163939i | 0.000629487 | + | 0.000548910i | ||||
\(893\) | 0.883373 | 0.0295610 | ||||||||
\(894\) | 0.194467 | − | 0.854097i | 0.00650396 | − | 0.0285653i | ||||
\(895\) | −1.94220 | + | 2.77687i | −0.0649207 | + | 0.0928205i | ||||
\(896\) | 7.63225 | − | 10.5789i | 0.254976 | − | 0.353416i | ||||
\(897\) | −48.8645 | − | 51.1029i | −1.63154 | − | 1.70628i | ||||
\(898\) | 6.76222 | + | 10.2337i | 0.225658 | + | 0.341504i | ||||
\(899\) | −5.15710 | −0.171999 | ||||||||
\(900\) | −27.4923 | − | 12.0073i | −0.916409 | − | 0.400243i | ||||
\(901\) | −25.5421 | −0.850930 | ||||||||
\(902\) | −10.1404 | − | 15.3462i | −0.337640 | − | 0.510973i | ||||
\(903\) | 6.75739 | + | 7.06694i | 0.224872 | + | 0.235173i | ||||
\(904\) | 16.6127 | − | 8.97031i | 0.552530 | − | 0.298348i | ||||
\(905\) | −3.82027 | − | 5.06412i | −0.126990 | − | 0.168337i | ||||
\(906\) | 5.70070 | − | 25.0374i | 0.189393 | − | 0.831811i | ||||
\(907\) | 32.9528 | 1.09418 | 0.547089 | − | 0.837074i | \(-0.315736\pi\) | ||||
0.547089 | + | 0.837074i | \(0.315736\pi\) | |||||||
\(908\) | −8.79003 | + | 10.0804i | −0.291708 | + | 0.334529i | ||||
\(909\) | 19.3438 | + | 0.866714i | 0.641593 | + | 0.0287471i | ||||
\(910\) | −19.4318 | − | 14.9181i | −0.644158 | − | 0.494529i | ||||
\(911\) | −14.2238 | + | 43.7763i | −0.471254 | + | 1.45037i | 0.379689 | + | 0.925114i | \(0.376031\pi\) |
−0.850943 | + | 0.525258i | \(0.823969\pi\) | |||||||
\(912\) | 1.10816 | − | 0.734611i | 0.0366950 | − | 0.0243254i | ||||
\(913\) | 25.0988 | − | 8.15508i | 0.830648 | − | 0.269894i | ||||
\(914\) | −23.6636 | − | 35.8118i | −0.782724 | − | 1.18455i | ||||
\(915\) | −10.7862 | − | 21.4018i | −0.356581 | − | 0.707522i | ||||
\(916\) | −47.0522 | + | 28.1733i | −1.55465 | + | 0.930871i | ||||
\(917\) | 4.35223 | − | 3.16208i | 0.143723 | − | 0.104421i | ||||
\(918\) | −13.0181 | − | 34.6200i | −0.429661 | − | 1.14263i | ||||
\(919\) | −3.72085 | − | 5.12131i | −0.122739 | − | 0.168936i | 0.743226 | − | 0.669041i | \(-0.233295\pi\) |
−0.865965 | + | 0.500105i | \(0.833295\pi\) | |||||||
\(920\) | −38.1710 | − | 4.41803i | −1.25846 | − | 0.145658i | ||||
\(921\) | −32.3657 | − | 33.8484i | −1.06649 | − | 1.11534i | ||||
\(922\) | −11.3023 | + | 3.12504i | −0.372223 | + | 0.102918i | ||||
\(923\) | 84.8823 | + | 27.5799i | 2.79394 | + | 0.907805i | ||||
\(924\) | 0.357338 | + | 7.78228i | 0.0117556 | + | 0.256018i | ||||
\(925\) | −7.30593 | + | 2.66786i | −0.240218 | + | 0.0877188i | ||||
\(926\) | −35.8433 | − | 28.5562i | −1.17789 | − | 0.938415i | ||||
\(927\) | −35.8040 | + | 44.9064i | −1.17596 | + | 1.47492i | ||||
\(928\) | −3.47647 | + | 3.05194i | −0.114121 | + | 0.100185i | ||||
\(929\) | 6.02797 | − | 8.29679i | 0.197771 | − | 0.272209i | −0.698600 | − | 0.715512i | \(-0.746193\pi\) |
0.896372 | + | 0.443303i | \(0.146193\pi\) | |||||||
\(930\) | 31.5045 | − | 14.1609i | 1.03307 | − | 0.464354i | ||||
\(931\) | −0.639629 | − | 0.880374i | −0.0209630 | − | 0.0288531i | ||||
\(932\) | 3.38859 | + | 14.7814i | 0.110997 | + | 0.484182i | ||||
\(933\) | −19.6462 | + | 9.46236i | −0.643187 | + | 0.309784i | ||||
\(934\) | −6.95975 | − | 2.60826i | −0.227730 | − | 0.0853447i | ||||
\(935\) | −20.7524 | + | 7.15785i | −0.678676 | + | 0.234087i | ||||
\(936\) | 51.3278 | − | 24.8152i | 1.67770 | − | 0.811110i | ||||
\(937\) | 35.0256 | − | 11.3805i | 1.14424 | − | 0.371785i | 0.325267 | − | 0.945622i | \(-0.394546\pi\) |
0.818970 | + | 0.573837i | \(0.194546\pi\) | |||||||
\(938\) | 5.04364 | − | 13.4582i | 0.164681 | − | 0.439427i | ||||
\(939\) | 22.5279 | + | 12.1213i | 0.735170 | + | 0.395562i | ||||
\(940\) | 17.4692 | − | 10.8914i | 0.569783 | − | 0.355237i | ||||
\(941\) | −42.3960 | + | 13.7753i | −1.38207 | + | 0.449062i | −0.903349 | − | 0.428905i | \(-0.858899\pi\) |
−0.478721 | + | 0.877967i | \(0.658899\pi\) | |||||||
\(942\) | 2.94683 | − | 12.9424i | 0.0960129 | − | 0.421687i | ||||
\(943\) | −40.5142 | −1.31933 | ||||||||
\(944\) | −17.4795 | + | 32.6312i | −0.568909 | + | 1.06205i | ||||
\(945\) | 8.99569 | + | 9.92713i | 0.292630 | + | 0.322930i | ||||
\(946\) | 3.59913 | + | 13.0170i | 0.117018 | + | 0.423218i | ||||
\(947\) | −12.0893 | + | 16.6394i | −0.392848 | + | 0.540709i | −0.958931 | − | 0.283639i | \(-0.908458\pi\) |
0.566083 | + | 0.824348i | \(0.308458\pi\) | |||||||
\(948\) | 9.52946 | − | 34.6650i | 0.309503 | − | 1.12587i | ||||
\(949\) | 32.6880 | 1.06110 | ||||||||
\(950\) | −1.28696 | − | 0.430205i | −0.0417544 | − | 0.0139577i | ||||
\(951\) | 25.9689 | + | 4.71127i | 0.842099 | + | 0.152773i | ||||
\(952\) | −11.8804 | − | 11.3263i | −0.385045 | − | 0.367089i | ||||
\(953\) | 10.0266 | + | 7.28472i | 0.324792 | + | 0.235975i | 0.738217 | − | 0.674563i | \(-0.235668\pi\) |
−0.413426 | + | 0.910538i | \(0.635668\pi\) | |||||||
\(954\) | −1.91749 | + | 21.4445i | −0.0620810 | + | 0.694290i | ||||
\(955\) | 27.0301 | − | 9.32314i | 0.874674 | − | 0.301690i | ||||
\(956\) | −0.0659696 | − | 0.0575251i | −0.00213361 | − | 0.00186050i | ||||
\(957\) | 0.493163 | − | 2.71836i | 0.0159417 | − | 0.0878720i | ||||
\(958\) | 52.7236 | + | 2.34265i | 1.70342 | + | 0.0756876i | ||||
\(959\) | 4.25011 | + | 13.0805i | 0.137243 | + | 0.422391i | ||||
\(960\) | 12.8573 | − | 28.1902i | 0.414969 | − | 0.909836i | ||||
\(961\) | −2.70973 | + | 8.33970i | −0.0874107 | + | 0.269023i | ||||
\(962\) | 5.18703 | − | 13.8408i | 0.167237 | − | 0.446246i | ||||
\(963\) | −33.2733 | − | 1.49084i | −1.07222 | − | 0.0480415i | ||||
\(964\) | 5.13965 | + | 0.457640i | 0.165537 | + | 0.0147396i | ||||
\(965\) | −26.6902 | + | 0.479943i | −0.859187 | + | 0.0154499i | ||||
\(966\) | 14.7350 | + | 8.79318i | 0.474090 | + | 0.282916i | ||||
\(967\) | 10.9945 | − | 7.98799i | 0.353560 | − | 0.256876i | −0.396801 | − | 0.917905i | \(-0.629880\pi\) |
0.750361 | + | 0.661028i | \(0.229880\pi\) | |||||||
\(968\) | 8.80427 | − | 18.3493i | 0.282980 | − | 0.589769i | ||||
\(969\) | −0.725956 | − | 1.50726i | −0.0233211 | − | 0.0484203i | ||||
\(970\) | −27.8916 | − | 0.737162i | −0.895545 | − | 0.0236689i | ||||
\(971\) | −39.0046 | − | 28.3385i | −1.25172 | − | 0.909427i | −0.253398 | − | 0.967362i | \(-0.581548\pi\) |
−0.998320 | + | 0.0579356i | \(0.981548\pi\) | |||||||
\(972\) | −30.0433 | + | 8.33065i | −0.963640 | + | 0.267206i | ||||
\(973\) | 5.09155 | + | 1.65435i | 0.163228 | + | 0.0530359i | ||||
\(974\) | 23.1983 | + | 18.4819i | 0.743320 | + | 0.592199i | ||||
\(975\) | −52.1991 | − | 25.7105i | −1.67171 | − | 0.823393i | ||||
\(976\) | 22.2804 | − | 10.7821i | 0.713180 | − | 0.345125i | ||||
\(977\) | −18.0683 | + | 55.6086i | −0.578057 | + | 1.77908i | 0.0474695 | + | 0.998873i | \(0.484884\pi\) |
−0.625526 | + | 0.780203i | \(0.715116\pi\) | |||||||
\(978\) | 4.15727 | + | 45.9193i | 0.132935 | + | 1.46834i | ||||
\(979\) | −2.16321 | + | 2.97740i | −0.0691365 | + | 0.0951582i | ||||
\(980\) | −23.5034 | − | 9.52372i | −0.750789 | − | 0.304224i | ||||
\(981\) | 12.8276 | − | 3.54163i | 0.409554 | − | 0.113075i | ||||
\(982\) | −3.33404 | − | 2.65621i | −0.106393 | − | 0.0847630i | ||||
\(983\) | −17.1718 | − | 23.6350i | −0.547696 | − | 0.753839i | 0.442001 | − | 0.897014i | \(-0.354269\pi\) |
−0.989697 | + | 0.143176i | \(0.954269\pi\) | |||||||
\(984\) | 10.0489 | − | 31.0839i | 0.320347 | − | 0.990917i | ||||
\(985\) | −25.2857 | + | 36.1523i | −0.805670 | + | 1.15191i | ||||
\(986\) | 3.20908 | + | 4.85651i | 0.102198 | + | 0.154663i | ||||
\(987\) | −9.10965 | + | 1.23447i | −0.289963 | + | 0.0392935i | ||||
\(988\) | 2.21247 | − | 1.32475i | 0.0703879 | − | 0.0421459i | ||||
\(989\) | 28.2909 | + | 9.19229i | 0.899600 | + | 0.292298i | ||||
\(990\) | 4.45163 | + | 17.9605i | 0.141482 | + | 0.570823i | ||||
\(991\) | −3.40103 | + | 1.10506i | −0.108037 | + | 0.0351034i | −0.362537 | − | 0.931969i | \(-0.618089\pi\) |
0.254499 | + | 0.967073i | \(0.418089\pi\) | |||||||
\(992\) | 14.0987 | + | 32.7694i | 0.447634 | + | 1.04043i | ||||
\(993\) | −3.50299 | + | 19.3088i | −0.111164 | + | 0.612746i | ||||
\(994\) | −21.6386 | − | 0.961461i | −0.686334 | − | 0.0304957i | ||||
\(995\) | −5.20593 | + | 0.0936130i | −0.165039 | + | 0.00296773i | ||||
\(996\) | 39.1422 | + | 25.7811i | 1.24027 | + | 0.816905i | ||||
\(997\) | 17.3522 | − | 23.8833i | 0.549550 | − | 0.756391i | −0.440401 | − | 0.897801i | \(-0.645164\pi\) |
0.989951 | + | 0.141410i | \(0.0451637\pi\) | |||||||
\(998\) | −15.9188 | − | 24.0910i | −0.503901 | − | 0.762588i | ||||
\(999\) | −4.14464 | + | 6.93942i | −0.131131 | + | 0.219554i |
(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 | 300.2.r.a.179.45 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.179.12 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.179.23 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.179.34 | yes | 224 | |
25.19 | even | 10 | inner | 300.2.r.a.119.34 | yes | 224 | |
75.44 | odd | 10 | inner | 300.2.r.a.119.23 | yes | 224 | |
100.19 | odd | 10 | inner | 300.2.r.a.119.12 | ✓ | 224 | |
300.119 | even | 10 | inner | 300.2.r.a.119.45 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.119.12 | ✓ | 224 | 100.19 | odd | 10 | inner | |
300.2.r.a.119.23 | yes | 224 | 75.44 | odd | 10 | inner | |
300.2.r.a.119.34 | yes | 224 | 25.19 | even | 10 | inner | |
300.2.r.a.119.45 | yes | 224 | 300.119 | even | 10 | inner | |
300.2.r.a.179.12 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.179.23 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.179.34 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.179.45 | yes | 224 | 1.1 | even | 1 | trivial |