Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(25,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.w (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.8 | ||
Character | \(\chi\) | \(=\) | 189.25 |
Dual form | 189.2.w.a.121.8 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.928908 | + | 0.338095i | −0.656837 | + | 0.239069i | −0.648870 | − | 0.760899i | \(-0.724758\pi\) |
−0.00796681 | + | 0.999968i | \(0.502536\pi\) | |||||||
\(3\) | −1.69366 | + | 0.362654i | −0.977835 | + | 0.209379i | ||||
\(4\) | −0.783527 | + | 0.657458i | −0.391764 | + | 0.328729i | ||||
\(5\) | −3.08847 | − | 1.12411i | −1.38121 | − | 0.502718i | −0.458663 | − | 0.888610i | \(-0.651671\pi\) |
−0.922544 | + | 0.385892i | \(0.873894\pi\) | |||||||
\(6\) | 1.45064 | − | 0.909490i | 0.592222 | − | 0.371298i | ||||
\(7\) | 2.54716 | + | 0.715520i | 0.962736 | + | 0.270441i | ||||
\(8\) | 1.49406 | − | 2.58780i | 0.528232 | − | 0.914924i | ||||
\(9\) | 2.73696 | − | 1.22843i | 0.912321 | − | 0.409475i | ||||
\(10\) | 3.24896 | 1.02741 | ||||||||
\(11\) | 3.23909 | − | 1.17893i | 0.976622 | − | 0.355462i | 0.196096 | − | 0.980585i | \(-0.437173\pi\) |
0.780526 | + | 0.625123i | \(0.214951\pi\) | |||||||
\(12\) | 1.08860 | − | 1.39766i | 0.314251 | − | 0.403469i | ||||
\(13\) | −0.176997 | − | 1.00380i | −0.0490900 | − | 0.278403i | 0.950375 | − | 0.311106i | \(-0.100700\pi\) |
−0.999465 | + | 0.0327031i | \(0.989588\pi\) | |||||||
\(14\) | −2.60799 | + | 0.196530i | −0.697015 | + | 0.0525248i | ||||
\(15\) | 5.63848 | + | 0.783815i | 1.45585 | + | 0.202380i | ||||
\(16\) | −0.157705 | + | 0.894392i | −0.0394264 | + | 0.223598i | ||||
\(17\) | −0.671106 | −0.162767 | −0.0813835 | − | 0.996683i | \(-0.525934\pi\) | ||||
−0.0813835 | + | 0.996683i | \(0.525934\pi\) | |||||||
\(18\) | −2.12706 | + | 2.06645i | −0.501353 | + | 0.487066i | ||||
\(19\) | −2.12460 | −0.487418 | −0.243709 | − | 0.969848i | \(-0.578364\pi\) | ||||
−0.243709 | + | 0.969848i | \(0.578364\pi\) | |||||||
\(20\) | 3.15896 | − | 1.14977i | 0.706365 | − | 0.257096i | ||||
\(21\) | −4.57351 | − | 0.288108i | −0.998022 | − | 0.0628704i | ||||
\(22\) | −2.61023 | + | 2.19024i | −0.556502 | + | 0.466961i | ||||
\(23\) | −0.996522 | − | 5.65156i | −0.207789 | − | 1.17843i | −0.892990 | − | 0.450077i | \(-0.851397\pi\) |
0.685201 | − | 0.728354i | \(-0.259714\pi\) | |||||||
\(24\) | −1.59196 | + | 4.92467i | −0.324958 | + | 1.00524i | ||||
\(25\) | 4.44481 | + | 3.72964i | 0.888962 | + | 0.745928i | ||||
\(26\) | 0.503792 | + | 0.872594i | 0.0988018 | + | 0.171130i | ||||
\(27\) | −4.18999 | + | 3.07311i | −0.806364 | + | 0.591420i | ||||
\(28\) | −2.46619 | + | 1.11402i | −0.466067 | + | 0.210530i | ||||
\(29\) | 0.678506 | − | 3.84800i | 0.125995 | − | 0.714555i | −0.854716 | − | 0.519095i | \(-0.826269\pi\) |
0.980712 | − | 0.195460i | \(-0.0626199\pi\) | |||||||
\(30\) | −5.50263 | + | 1.17825i | −1.00464 | + | 0.215118i | ||||
\(31\) | 7.91115 | − | 6.63825i | 1.42089 | − | 1.19226i | 0.470021 | − | 0.882655i | \(-0.344246\pi\) |
0.950864 | − | 0.309609i | \(-0.100198\pi\) | |||||||
\(32\) | 0.881871 | + | 5.00134i | 0.155894 | + | 0.884120i | ||||
\(33\) | −5.05837 | + | 3.17138i | −0.880549 | + | 0.552066i | ||||
\(34\) | 0.623395 | − | 0.226897i | 0.106911 | − | 0.0389126i | ||||
\(35\) | −7.06251 | − | 5.07316i | −1.19378 | − | 0.857520i | ||||
\(36\) | −1.33685 | + | 2.76194i | −0.222808 | + | 0.460324i | ||||
\(37\) | 4.55770 | − | 7.89416i | 0.749281 | − | 1.29779i | −0.198887 | − | 0.980022i | \(-0.563733\pi\) |
0.948168 | − | 0.317770i | \(-0.102934\pi\) | |||||||
\(38\) | 1.97356 | − | 0.718318i | 0.320154 | − | 0.116527i | ||||
\(39\) | 0.663803 | + | 1.63590i | 0.106294 | + | 0.261954i | ||||
\(40\) | −7.52335 | + | 6.31284i | −1.18955 | + | 0.998148i | ||||
\(41\) | 0.857967 | + | 4.86577i | 0.133992 | + | 0.759906i | 0.975556 | + | 0.219749i | \(0.0705239\pi\) |
−0.841564 | + | 0.540157i | \(0.818365\pi\) | |||||||
\(42\) | 4.34578 | − | 1.27865i | 0.670568 | − | 0.197301i | ||||
\(43\) | −2.16071 | − | 1.81305i | −0.329504 | − | 0.276487i | 0.462993 | − | 0.886362i | \(-0.346775\pi\) |
−0.792498 | + | 0.609875i | \(0.791220\pi\) | |||||||
\(44\) | −1.76282 | + | 3.05329i | −0.265755 | + | 0.460301i | ||||
\(45\) | −9.83392 | + | 0.717305i | −1.46595 | + | 0.106930i | ||||
\(46\) | 2.83644 | + | 4.91286i | 0.418210 | + | 0.724361i | ||||
\(47\) | −0.379189 | − | 0.318177i | −0.0553104 | − | 0.0464109i | 0.614713 | − | 0.788751i | \(-0.289272\pi\) |
−0.670024 | + | 0.742340i | \(0.733716\pi\) | |||||||
\(48\) | −0.0572559 | − | 1.57199i | −0.00826417 | − | 0.226897i | ||||
\(49\) | 5.97606 | + | 3.64509i | 0.853723 | + | 0.520727i | ||||
\(50\) | −5.38979 | − | 1.96172i | −0.762231 | − | 0.277429i | ||||
\(51\) | 1.13662 | − | 0.243379i | 0.159159 | − | 0.0340799i | ||||
\(52\) | 0.798636 | + | 0.670135i | 0.110751 | + | 0.0929310i | ||||
\(53\) | −4.04846 | + | 7.01214i | −0.556099 | + | 0.963191i | 0.441718 | + | 0.897154i | \(0.354369\pi\) |
−0.997817 | + | 0.0660375i | \(0.978964\pi\) | |||||||
\(54\) | 2.85311 | − | 4.27125i | 0.388259 | − | 0.581243i | ||||
\(55\) | −11.3291 | −1.52761 | ||||||||
\(56\) | 5.65724 | − | 5.52250i | 0.755981 | − | 0.737975i | ||||
\(57\) | 3.59836 | − | 0.770497i | 0.476614 | − | 0.102055i | ||||
\(58\) | 0.670718 | + | 3.80383i | 0.0880696 | + | 0.499468i | ||||
\(59\) | −1.67822 | − | 9.51765i | −0.218485 | − | 1.23909i | −0.874755 | − | 0.484566i | \(-0.838978\pi\) |
0.656269 | − | 0.754527i | \(-0.272134\pi\) | |||||||
\(60\) | −4.93323 | + | 3.09292i | −0.636877 | + | 0.399295i | ||||
\(61\) | 6.71058 | + | 5.63085i | 0.859202 | + | 0.720956i | 0.961796 | − | 0.273767i | \(-0.0882698\pi\) |
−0.102594 | + | 0.994723i | \(0.532714\pi\) | |||||||
\(62\) | −5.10438 | + | 8.84104i | −0.648256 | + | 1.12281i | ||||
\(63\) | 7.85045 | − | 1.17065i | 0.989064 | − | 0.147488i | ||||
\(64\) | −3.41829 | − | 5.92066i | −0.427287 | − | 0.740082i | ||||
\(65\) | −0.581732 | + | 3.29916i | −0.0721549 | + | 0.409211i | ||||
\(66\) | 3.62653 | − | 4.65613i | 0.446395 | − | 0.573130i | ||||
\(67\) | −9.15746 | − | 3.33304i | −1.11876 | − | 0.407196i | −0.284562 | − | 0.958658i | \(-0.591848\pi\) |
−0.834200 | + | 0.551462i | \(0.814070\pi\) | |||||||
\(68\) | 0.525830 | − | 0.441223i | 0.0637662 | − | 0.0535062i | ||||
\(69\) | 3.73733 | + | 9.21042i | 0.449922 | + | 1.10880i | ||||
\(70\) | 8.27563 | + | 2.32470i | 0.989127 | + | 0.277855i | ||||
\(71\) | 4.72319 | + | 8.18081i | 0.560540 | + | 0.970883i | 0.997449 | + | 0.0713778i | \(0.0227396\pi\) |
−0.436910 | + | 0.899505i | \(0.643927\pi\) | |||||||
\(72\) | 0.910285 | − | 8.91805i | 0.107278 | − | 1.05100i | ||||
\(73\) | −5.56377 | − | 9.63672i | −0.651189 | − | 1.12789i | −0.982835 | − | 0.184489i | \(-0.940937\pi\) |
0.331645 | − | 0.943404i | \(-0.392396\pi\) | |||||||
\(74\) | −1.56470 | + | 8.87388i | −0.181893 | + | 1.03157i | ||||
\(75\) | −8.88056 | − | 4.70481i | −1.02544 | − | 0.543264i | ||||
\(76\) | 1.66469 | − | 1.39684i | 0.190953 | − | 0.160228i | ||||
\(77\) | 9.09404 | − | 0.685297i | 1.03636 | − | 0.0780968i | ||||
\(78\) | −1.16970 | − | 1.29517i | −0.132443 | − | 0.146650i | ||||
\(79\) | 0.194091 | − | 0.0706432i | 0.0218369 | − | 0.00794798i | −0.331079 | − | 0.943603i | \(-0.607413\pi\) |
0.352916 | + | 0.935655i | \(0.385190\pi\) | |||||||
\(80\) | 1.49247 | − | 2.58503i | 0.166863 | − | 0.289015i | ||||
\(81\) | 5.98194 | − | 6.72431i | 0.664660 | − | 0.747146i | ||||
\(82\) | −2.44206 | − | 4.22978i | −0.269681 | − | 0.467101i | ||||
\(83\) | 2.37994 | − | 13.4973i | 0.261232 | − | 1.48152i | −0.518321 | − | 0.855186i | \(-0.673443\pi\) |
0.779553 | − | 0.626336i | \(-0.215446\pi\) | |||||||
\(84\) | 3.77289 | − | 2.78115i | 0.411656 | − | 0.303448i | ||||
\(85\) | 2.07269 | + | 0.754398i | 0.224815 | + | 0.0818259i | ||||
\(86\) | 2.62008 | + | 0.953630i | 0.282530 | + | 0.102833i | ||||
\(87\) | 0.246335 | + | 6.76326i | 0.0264099 | + | 0.725097i | ||||
\(88\) | 1.78857 | − | 10.1435i | 0.190663 | − | 1.08130i | ||||
\(89\) | 11.9916 | 1.27111 | 0.635553 | − | 0.772057i | \(-0.280772\pi\) | ||||
0.635553 | + | 0.772057i | \(0.280772\pi\) | |||||||
\(90\) | 8.89229 | − | 3.99111i | 0.937330 | − | 0.420700i | ||||
\(91\) | 0.267399 | − | 2.68348i | 0.0280310 | − | 0.281305i | ||||
\(92\) | 4.49646 | + | 3.77298i | 0.468788 | + | 0.393360i | ||||
\(93\) | −10.9914 | + | 14.1119i | −1.13976 | + | 1.46334i | ||||
\(94\) | 0.459806 | + | 0.167356i | 0.0474253 | + | 0.0172614i | ||||
\(95\) | 6.56178 | + | 2.38829i | 0.673225 | + | 0.245034i | ||||
\(96\) | −3.30735 | − | 8.15075i | −0.337555 | − | 0.831882i | ||||
\(97\) | 0.577101 | + | 0.484245i | 0.0585957 | + | 0.0491676i | 0.671615 | − | 0.740900i | \(-0.265601\pi\) |
−0.613019 | + | 0.790068i | \(0.710045\pi\) | |||||||
\(98\) | −6.78360 | − | 1.36548i | −0.685247 | − | 0.137934i | ||||
\(99\) | 7.41704 | − | 7.20568i | 0.745441 | − | 0.724198i | ||||
\(100\) | −5.93471 | −0.593471 | ||||||||
\(101\) | −1.01306 | + | 5.74536i | −0.100803 | + | 0.571684i | 0.892010 | + | 0.452015i | \(0.149295\pi\) |
−0.992814 | + | 0.119669i | \(0.961817\pi\) | |||||||
\(102\) | −0.973534 | + | 0.610364i | −0.0963942 | + | 0.0604350i | ||||
\(103\) | −9.79821 | − | 3.56626i | −0.965447 | − | 0.351394i | −0.189281 | − | 0.981923i | \(-0.560616\pi\) |
−0.776166 | + | 0.630529i | \(0.782838\pi\) | |||||||
\(104\) | −2.86207 | − | 1.04171i | −0.280649 | − | 0.102148i | ||||
\(105\) | 13.8013 | + | 6.03095i | 1.34687 | + | 0.588561i | ||||
\(106\) | 1.38988 | − | 7.88239i | 0.134997 | − | 0.765606i | ||||
\(107\) | 3.21721 | + | 5.57237i | 0.311019 | + | 0.538701i | 0.978583 | − | 0.205851i | \(-0.0659963\pi\) |
−0.667564 | + | 0.744552i | \(0.732663\pi\) | |||||||
\(108\) | 1.26253 | − | 5.16260i | 0.121487 | − | 0.496772i | ||||
\(109\) | 0.963502 | − | 1.66883i | 0.0922868 | − | 0.159845i | −0.816186 | − | 0.577789i | \(-0.803916\pi\) |
0.908473 | + | 0.417944i | \(0.137249\pi\) | |||||||
\(110\) | 10.5237 | − | 3.83031i | 1.00339 | − | 0.365205i | ||||
\(111\) | −4.85633 | + | 15.0229i | −0.460943 | + | 1.42591i | ||||
\(112\) | −1.04166 | + | 2.16532i | −0.0984273 | + | 0.204604i | ||||
\(113\) | −12.2378 | + | 10.2688i | −1.15124 | + | 0.966004i | −0.999748 | − | 0.0224549i | \(-0.992852\pi\) |
−0.151491 | + | 0.988459i | \(0.548407\pi\) | |||||||
\(114\) | −3.08204 | + | 1.93231i | −0.288659 | + | 0.180977i | ||||
\(115\) | −3.27525 | + | 18.5749i | −0.305419 | + | 1.73212i | ||||
\(116\) | 1.99827 | + | 3.46110i | 0.185534 | + | 0.321355i | ||||
\(117\) | −1.71752 | − | 2.52993i | −0.158785 | − | 0.233892i | ||||
\(118\) | 4.77678 | + | 8.27362i | 0.439738 | + | 0.761649i | ||||
\(119\) | −1.70941 | − | 0.480190i | −0.156702 | − | 0.0440189i | ||||
\(120\) | 10.4526 | − | 13.4202i | 0.954188 | − | 1.22509i | ||||
\(121\) | 0.675336 | − | 0.566674i | 0.0613941 | − | 0.0515158i | ||||
\(122\) | −8.13727 | − | 2.96172i | −0.736714 | − | 0.268142i | ||||
\(123\) | −3.21770 | − | 7.92981i | −0.290130 | − | 0.715007i | ||||
\(124\) | −1.83424 | + | 10.4025i | −0.164720 | + | 0.934172i | ||||
\(125\) | −1.31843 | − | 2.28359i | −0.117924 | − | 0.204250i | ||||
\(126\) | −6.89656 | + | 3.74162i | −0.614394 | + | 0.333330i | ||||
\(127\) | 10.3519 | − | 17.9300i | 0.918584 | − | 1.59103i | 0.117017 | − | 0.993130i | \(-0.462667\pi\) |
0.801567 | − | 0.597905i | \(-0.204000\pi\) | |||||||
\(128\) | −2.60368 | − | 2.18475i | −0.230135 | − | 0.193106i | ||||
\(129\) | 4.31701 | + | 2.28709i | 0.380091 | + | 0.201367i | ||||
\(130\) | −0.575055 | − | 3.26130i | −0.0504357 | − | 0.286035i | ||||
\(131\) | −1.84629 | − | 10.4708i | −0.161311 | − | 0.914839i | −0.952787 | − | 0.303639i | \(-0.901798\pi\) |
0.791476 | − | 0.611200i | \(-0.209313\pi\) | |||||||
\(132\) | 1.87832 | − | 5.81053i | 0.163487 | − | 0.505741i | ||||
\(133\) | −5.41171 | − | 1.52020i | −0.469255 | − | 0.131818i | ||||
\(134\) | 9.63332 | 0.832192 | ||||||||
\(135\) | 16.3952 | − | 4.78119i | 1.41107 | − | 0.411499i | ||||
\(136\) | −1.00268 | + | 1.73668i | −0.0859787 | + | 0.148919i | ||||
\(137\) | 2.50596 | + | 2.10275i | 0.214099 | + | 0.179650i | 0.743530 | − | 0.668703i | \(-0.233150\pi\) |
−0.529431 | + | 0.848353i | \(0.677595\pi\) | |||||||
\(138\) | −6.58563 | − | 7.29206i | −0.560606 | − | 0.620741i | ||||
\(139\) | −13.7217 | − | 4.99429i | −1.16386 | − | 0.423610i | −0.313385 | − | 0.949626i | \(-0.601463\pi\) |
−0.850475 | + | 0.526016i | \(0.823685\pi\) | |||||||
\(140\) | 8.86906 | − | 0.668343i | 0.749572 | − | 0.0564853i | ||||
\(141\) | 0.757605 | + | 0.401369i | 0.0638019 | + | 0.0338014i | ||||
\(142\) | −7.15330 | − | 6.00233i | −0.600291 | − | 0.503704i | ||||
\(143\) | −1.75672 | − | 3.04272i | −0.146904 | − | 0.254445i | ||||
\(144\) | 0.667060 | + | 2.64165i | 0.0555884 | + | 0.220137i | ||||
\(145\) | −6.42112 | + | 11.1217i | −0.533245 | + | 0.923608i | ||||
\(146\) | 8.42635 | + | 7.07055i | 0.697370 | + | 0.585163i | ||||
\(147\) | −11.4433 | − | 4.00630i | −0.943829 | − | 0.330434i | ||||
\(148\) | 1.61900 | + | 9.18178i | 0.133081 | + | 0.754738i | ||||
\(149\) | 0.941784 | − | 0.790250i | 0.0771539 | − | 0.0647398i | −0.603395 | − | 0.797442i | \(-0.706186\pi\) |
0.680549 | + | 0.732703i | \(0.261741\pi\) | |||||||
\(150\) | 9.83989 | + | 1.36786i | 0.803424 | + | 0.111685i | ||||
\(151\) | −4.50794 | + | 1.64076i | −0.366851 | + | 0.133523i | −0.518867 | − | 0.854855i | \(-0.673646\pi\) |
0.152015 | + | 0.988378i | \(0.451424\pi\) | |||||||
\(152\) | −3.17430 | + | 5.49804i | −0.257469 | + | 0.445950i | ||||
\(153\) | −1.83679 | + | 0.824403i | −0.148496 | + | 0.0666491i | ||||
\(154\) | −8.21582 | + | 3.71122i | −0.662050 | + | 0.299059i | ||||
\(155\) | −31.8955 | + | 11.6090i | −2.56191 | + | 0.932459i | ||||
\(156\) | −1.59564 | − | 0.845352i | −0.127754 | − | 0.0676823i | ||||
\(157\) | 0.378984 | + | 2.14933i | 0.0302462 | + | 0.171535i | 0.996189 | − | 0.0872209i | \(-0.0277986\pi\) |
−0.965943 | + | 0.258756i | \(0.916687\pi\) | |||||||
\(158\) | −0.156408 | + | 0.131242i | −0.0124432 | + | 0.0104411i | ||||
\(159\) | 4.31373 | − | 13.3444i | 0.342101 | − | 1.05828i | ||||
\(160\) | 2.89843 | − | 16.4378i | 0.229141 | − | 1.29952i | ||||
\(161\) | 1.50550 | − | 15.1085i | 0.118650 | − | 1.19071i | ||||
\(162\) | −3.28322 | + | 8.26873i | −0.257954 | + | 0.649653i | ||||
\(163\) | 9.88080 | + | 17.1140i | 0.773924 | + | 1.34048i | 0.935397 | + | 0.353599i | \(0.115042\pi\) |
−0.161473 | + | 0.986877i | \(0.551625\pi\) | |||||||
\(164\) | −3.87128 | − | 3.24839i | −0.302296 | − | 0.253657i | ||||
\(165\) | 19.1876 | − | 4.10854i | 1.49375 | − | 0.319850i | ||||
\(166\) | 2.35263 | + | 13.3424i | 0.182599 | + | 1.03557i | ||||
\(167\) | −2.28071 | + | 1.91374i | −0.176486 | + | 0.148090i | −0.726752 | − | 0.686900i | \(-0.758971\pi\) |
0.550265 | + | 0.834990i | \(0.314527\pi\) | |||||||
\(168\) | −7.57869 | + | 11.4049i | −0.584708 | + | 0.879904i | ||||
\(169\) | 11.2397 | − | 4.09092i | 0.864594 | − | 0.314686i | ||||
\(170\) | −2.18040 | −0.167229 | ||||||||
\(171\) | −5.81497 | + | 2.60992i | −0.444682 | + | 0.199585i | ||||
\(172\) | 2.88497 | 0.219977 | ||||||||
\(173\) | −0.958517 | + | 5.43602i | −0.0728747 | + | 0.413293i | 0.926446 | + | 0.376429i | \(0.122848\pi\) |
−0.999320 | + | 0.0368643i | \(0.988263\pi\) | |||||||
\(174\) | −2.51544 | − | 6.19916i | −0.190695 | − | 0.469957i | ||||
\(175\) | 8.65301 | + | 12.6803i | 0.654106 | + | 0.958544i | ||||
\(176\) | 0.543606 | + | 3.08294i | 0.0409758 | + | 0.232385i | ||||
\(177\) | 6.29395 | + | 15.5110i | 0.473082 | + | 1.16588i | ||||
\(178\) | −11.1391 | + | 4.05430i | −0.834910 | + | 0.303882i | ||||
\(179\) | −5.90252 | −0.441175 | −0.220587 | − | 0.975367i | \(-0.570797\pi\) | ||||
−0.220587 | + | 0.975367i | \(0.570797\pi\) | |||||||
\(180\) | 7.23355 | − | 7.02742i | 0.539157 | − | 0.523793i | ||||
\(181\) | −2.83075 | + | 4.90300i | −0.210408 | + | 0.364437i | −0.951842 | − | 0.306588i | \(-0.900813\pi\) |
0.741434 | + | 0.671025i | \(0.234146\pi\) | |||||||
\(182\) | 0.658882 | + | 2.58311i | 0.0488395 | + | 0.191473i | ||||
\(183\) | −13.4075 | − | 7.10311i | −0.991110 | − | 0.525077i | ||||
\(184\) | −16.1139 | − | 5.86500i | −1.18794 | − | 0.432373i | ||||
\(185\) | −22.9502 | + | 19.2575i | −1.68733 | + | 1.41584i | ||||
\(186\) | 5.43883 | − | 16.8248i | 0.398795 | − | 1.23366i | ||||
\(187\) | −2.17377 | + | 0.791188i | −0.158962 | + | 0.0578574i | ||||
\(188\) | 0.506293 | 0.0369252 | ||||||||
\(189\) | −12.8715 | + | 4.82968i | −0.936260 | + | 0.351307i | ||||
\(190\) | −6.90276 | −0.500779 | ||||||||
\(191\) | −4.04867 | + | 1.47360i | −0.292952 | + | 0.106626i | −0.484315 | − | 0.874894i | \(-0.660931\pi\) |
0.191364 | + | 0.981519i | \(0.438709\pi\) | |||||||
\(192\) | 7.93658 | + | 8.78792i | 0.572773 | + | 0.634213i | ||||
\(193\) | −15.1185 | + | 12.6859i | −1.08825 | + | 0.913154i | −0.996580 | − | 0.0826352i | \(-0.973666\pi\) |
−0.0916745 | + | 0.995789i | \(0.529222\pi\) | |||||||
\(194\) | −0.699794 | − | 0.254704i | −0.0502423 | − | 0.0182867i | ||||
\(195\) | −0.211201 | − | 5.79863i | −0.0151244 | − | 0.415248i | ||||
\(196\) | −7.07890 | + | 1.07298i | −0.505636 | + | 0.0766413i | ||||
\(197\) | −6.17755 | + | 10.6998i | −0.440132 | + | 0.762332i | −0.997699 | − | 0.0678007i | \(-0.978402\pi\) |
0.557567 | + | 0.830132i | \(0.311735\pi\) | |||||||
\(198\) | −4.45355 | + | 9.20107i | −0.316500 | + | 0.653892i | ||||
\(199\) | 26.5953 | 1.88529 | 0.942644 | − | 0.333801i | \(-0.108331\pi\) | ||||
0.942644 | + | 0.333801i | \(0.108331\pi\) | |||||||
\(200\) | 16.2924 | − | 5.92994i | 1.15204 | − | 0.419310i | ||||
\(201\) | 16.7184 | + | 2.32405i | 1.17922 | + | 0.163926i | ||||
\(202\) | −1.00143 | − | 5.67942i | −0.0704607 | − | 0.399602i | ||||
\(203\) | 4.48158 | − | 9.31598i | 0.314545 | − | 0.653854i | ||||
\(204\) | −0.730565 | + | 0.937977i | −0.0511498 | + | 0.0656715i | ||||
\(205\) | 2.81987 | − | 15.9922i | 0.196948 | − | 1.11695i | ||||
\(206\) | 10.3074 | 0.718148 | ||||||||
\(207\) | −9.66996 | − | 14.2440i | −0.672109 | − | 0.990023i | ||||
\(208\) | 0.925702 | 0.0641859 | ||||||||
\(209\) | −6.88179 | + | 2.50477i | −0.476023 | + | 0.173258i | ||||
\(210\) | −14.8592 | − | 0.936053i | −1.02538 | − | 0.0645938i | ||||
\(211\) | −9.85354 | + | 8.26810i | −0.678345 | + | 0.569199i | −0.915522 | − | 0.402267i | \(-0.868222\pi\) |
0.237177 | + | 0.971466i | \(0.423778\pi\) | |||||||
\(212\) | −1.43810 | − | 8.15589i | −0.0987694 | − | 0.560149i | ||||
\(213\) | −10.9663 | − | 12.1426i | −0.751397 | − | 0.831998i | ||||
\(214\) | −4.87248 | − | 4.08849i | −0.333076 | − | 0.279484i | ||||
\(215\) | 4.63521 | + | 8.02842i | 0.316119 | + | 0.547534i | ||||
\(216\) | 1.69246 | + | 15.4343i | 0.115157 | + | 1.05017i | ||||
\(217\) | 24.9008 | − | 11.2481i | 1.69038 | − | 0.763570i | ||||
\(218\) | −0.330780 | + | 1.87595i | −0.0224033 | + | 0.127055i | ||||
\(219\) | 12.9179 | + | 14.3036i | 0.872912 | + | 0.966548i | ||||
\(220\) | 8.87665 | − | 7.44840i | 0.598464 | − | 0.502171i | ||||
\(221\) | 0.118783 | + | 0.673654i | 0.00799024 | + | 0.0453149i | ||||
\(222\) | −0.568075 | − | 15.5968i | −0.0381267 | − | 1.04679i | ||||
\(223\) | −8.87626 | + | 3.23070i | −0.594399 | + | 0.216343i | −0.621663 | − | 0.783285i | \(-0.713543\pi\) |
0.0272643 | + | 0.999628i | \(0.491320\pi\) | |||||||
\(224\) | −1.33229 | + | 13.3702i | −0.0890175 | + | 0.893335i | ||||
\(225\) | 16.7469 | + | 4.74776i | 1.11646 | + | 0.316518i | ||||
\(226\) | 7.89600 | − | 13.6763i | 0.525234 | − | 0.909733i | ||||
\(227\) | 19.7270 | − | 7.18003i | 1.30933 | − | 0.476555i | 0.409303 | − | 0.912399i | \(-0.365772\pi\) |
0.900023 | + | 0.435843i | \(0.143550\pi\) | |||||||
\(228\) | −2.31284 | + | 2.96947i | −0.153172 | + | 0.196658i | ||||
\(229\) | 10.8428 | − | 9.09815i | 0.716509 | − | 0.601223i | −0.209908 | − | 0.977721i | \(-0.567316\pi\) |
0.926417 | + | 0.376498i | \(0.122872\pi\) | |||||||
\(230\) | −3.23766 | − | 18.3617i | −0.213485 | − | 1.21073i | ||||
\(231\) | −15.1537 | + | 4.45865i | −0.997038 | + | 0.293358i | ||||
\(232\) | −8.94410 | − | 7.50499i | −0.587209 | − | 0.492727i | ||||
\(233\) | 5.14746 | − | 8.91566i | 0.337221 | − | 0.584084i | −0.646688 | − | 0.762755i | \(-0.723846\pi\) |
0.983909 | + | 0.178671i | \(0.0571797\pi\) | |||||||
\(234\) | 2.45078 | + | 1.76939i | 0.160212 | + | 0.115668i | ||||
\(235\) | 0.813448 | + | 1.40893i | 0.0530635 | + | 0.0919086i | ||||
\(236\) | 7.57238 | + | 6.35398i | 0.492920 | + | 0.413609i | ||||
\(237\) | −0.303104 | + | 0.190033i | −0.0196887 | + | 0.0123440i | ||||
\(238\) | 1.75024 | − | 0.131892i | 0.113451 | − | 0.00854930i | ||||
\(239\) | 28.3320 | + | 10.3120i | 1.83264 | + | 0.667028i | 0.992126 | + | 0.125245i | \(0.0399717\pi\) |
0.840518 | + | 0.541783i | \(0.182251\pi\) | |||||||
\(240\) | −1.59026 | + | 4.91940i | −0.102651 | + | 0.317546i | ||||
\(241\) | 3.05870 | + | 2.56656i | 0.197028 | + | 0.165326i | 0.735964 | − | 0.677020i | \(-0.236729\pi\) |
−0.538936 | + | 0.842347i | \(0.681174\pi\) | |||||||
\(242\) | −0.435735 | + | 0.754715i | −0.0280101 | + | 0.0485149i | ||||
\(243\) | −7.69277 | + | 13.5581i | −0.493491 | + | 0.869751i | ||||
\(244\) | −8.95997 | −0.573603 | ||||||||
\(245\) | −14.3594 | − | 17.9755i | −0.917389 | − | 1.14841i | ||||
\(246\) | 5.66997 | + | 6.27818i | 0.361504 | + | 0.400282i | ||||
\(247\) | 0.376048 | + | 2.13267i | 0.0239273 | + | 0.135699i | ||||
\(248\) | −5.35865 | − | 30.3904i | −0.340275 | − | 1.92979i | ||||
\(249\) | 0.864051 | + | 23.7229i | 0.0547570 | + | 1.50338i | ||||
\(250\) | 1.99677 | + | 1.67549i | 0.126287 | + | 0.105967i | ||||
\(251\) | 8.78270 | − | 15.2121i | 0.554359 | − | 0.960178i | −0.443594 | − | 0.896228i | \(-0.646297\pi\) |
0.997953 | − | 0.0639504i | \(-0.0203700\pi\) | |||||||
\(252\) | −5.38139 | + | 6.07857i | −0.338996 | + | 0.382914i | ||||
\(253\) | −9.89063 | − | 17.1311i | −0.621818 | − | 1.07702i | ||||
\(254\) | −3.55392 | + | 20.1553i | −0.222993 | + | 1.26466i | ||||
\(255\) | −3.78402 | − | 0.526022i | −0.236964 | − | 0.0329408i | ||||
\(256\) | 16.0058 | + | 5.82564i | 1.00036 | + | 0.364102i | ||||
\(257\) | −0.906230 | + | 0.760418i | −0.0565291 | + | 0.0474335i | −0.670614 | − | 0.741806i | \(-0.733969\pi\) |
0.614085 | + | 0.789240i | \(0.289525\pi\) | |||||||
\(258\) | −4.78336 | − | 0.664942i | −0.297799 | − | 0.0413975i | ||||
\(259\) | 17.2576 | − | 16.8466i | 1.07234 | − | 1.04680i | ||||
\(260\) | −1.71326 | − | 2.96745i | −0.106252 | − | 0.184033i | ||||
\(261\) | −2.86993 | − | 11.3653i | −0.177644 | − | 0.703496i | ||||
\(262\) | 5.25516 | + | 9.10220i | 0.324665 | + | 0.562336i | ||||
\(263\) | 1.75013 | − | 9.92549i | 0.107918 | − | 0.612032i | −0.882097 | − | 0.471068i | \(-0.843869\pi\) |
0.990015 | − | 0.140964i | \(-0.0450202\pi\) | |||||||
\(264\) | 0.649352 | + | 17.8283i | 0.0399648 | + | 1.09725i | ||||
\(265\) | 20.3860 | − | 17.1059i | 1.25230 | − | 1.05081i | ||||
\(266\) | 5.54095 | − | 0.417548i | 0.339737 | − | 0.0256015i | ||||
\(267\) | −20.3097 | + | 4.34880i | −1.24293 | + | 0.266142i | ||||
\(268\) | 9.36646 | − | 3.40911i | 0.572147 | − | 0.208245i | ||||
\(269\) | −4.91936 | + | 8.52058i | −0.299939 | + | 0.519509i | −0.976122 | − | 0.217225i | \(-0.930300\pi\) |
0.676183 | + | 0.736734i | \(0.263633\pi\) | |||||||
\(270\) | −13.6131 | + | 9.98441i | −0.828468 | + | 0.607632i | ||||
\(271\) | 5.99552 | + | 10.3846i | 0.364202 | + | 0.630817i | 0.988648 | − | 0.150252i | \(-0.0480084\pi\) |
−0.624446 | + | 0.781068i | \(0.714675\pi\) | |||||||
\(272\) | 0.105837 | − | 0.600232i | 0.00641731 | − | 0.0363944i | ||||
\(273\) | 0.520293 | + | 4.64187i | 0.0314896 | + | 0.280939i | ||||
\(274\) | −3.03874 | − | 1.10601i | −0.183577 | − | 0.0668166i | ||||
\(275\) | 18.7941 | + | 6.84050i | 1.13333 | + | 0.412498i | ||||
\(276\) | −8.98376 | − | 4.75948i | −0.540759 | − | 0.286487i | ||||
\(277\) | 2.20992 | − | 12.5331i | 0.132781 | − | 0.753040i | −0.843598 | − | 0.536976i | \(-0.819567\pi\) |
0.976379 | − | 0.216065i | \(-0.0693222\pi\) | |||||||
\(278\) | 14.4347 | 0.865738 | ||||||||
\(279\) | 13.4979 | − | 27.8869i | 0.808101 | − | 1.66955i | ||||
\(280\) | −23.6801 | + | 10.6967i | −1.41516 | + | 0.639251i | ||||
\(281\) | −18.1559 | − | 15.2346i | −1.08309 | − | 0.908821i | −0.0869166 | − | 0.996216i | \(-0.527701\pi\) |
−0.996174 | + | 0.0873949i | \(0.972146\pi\) | |||||||
\(282\) | −0.839446 | − | 0.116693i | −0.0499883 | − | 0.00694896i | ||||
\(283\) | −2.41643 | − | 0.879507i | −0.143642 | − | 0.0522813i | 0.269199 | − | 0.963085i | \(-0.413241\pi\) |
−0.412841 | + | 0.910803i | \(0.635463\pi\) | |||||||
\(284\) | −9.07928 | − | 3.30459i | −0.538756 | − | 0.196091i | ||||
\(285\) | −11.9795 | − | 1.66530i | −0.709607 | − | 0.0986436i | ||||
\(286\) | 2.66056 | + | 2.23247i | 0.157322 | + | 0.132009i | ||||
\(287\) | −1.29618 | + | 13.0078i | −0.0765110 | + | 0.767826i | ||||
\(288\) | 8.55742 | + | 12.6052i | 0.504251 | + | 0.742767i | ||||
\(289\) | −16.5496 | −0.973507 | ||||||||
\(290\) | 2.20444 | − | 12.5020i | 0.129449 | − | 0.734142i | ||||
\(291\) | −1.15303 | − | 0.610858i | −0.0675916 | − | 0.0358091i | ||||
\(292\) | 10.6951 | + | 3.89270i | 0.625883 | + | 0.227803i | ||||
\(293\) | 6.68694 | + | 2.43385i | 0.390655 | + | 0.142187i | 0.529877 | − | 0.848074i | \(-0.322238\pi\) |
−0.139222 | + | 0.990261i | \(0.544460\pi\) | |||||||
\(294\) | 11.9843 | − | 0.147446i | 0.698938 | − | 0.00859922i | ||||
\(295\) | −5.51577 | + | 31.2815i | −0.321141 | + | 1.82128i | ||||
\(296\) | −13.6190 | − | 23.5888i | −0.791587 | − | 1.37107i | ||||
\(297\) | −9.94877 | + | 14.8938i | −0.577286 | + | 0.864225i | ||||
\(298\) | −0.607651 | + | 1.05248i | −0.0352003 | + | 0.0609686i | ||||
\(299\) | −5.49664 | + | 2.00061i | −0.317879 | + | 0.115698i | ||||
\(300\) | 10.0514 | − | 2.15225i | 0.580316 | − | 0.124260i | ||||
\(301\) | −4.20639 | − | 6.16415i | −0.242452 | − | 0.355296i | ||||
\(302\) | 3.63273 | − | 3.04822i | 0.209040 | − | 0.175406i | ||||
\(303\) | −0.367798 | − | 10.0981i | −0.0211294 | − | 0.580119i | ||||
\(304\) | 0.335062 | − | 1.90023i | 0.0192171 | − | 0.108986i | ||||
\(305\) | −14.3957 | − | 24.9342i | −0.824298 | − | 1.42773i | ||||
\(306\) | 1.42748 | − | 1.38680i | 0.0816038 | − | 0.0792783i | ||||
\(307\) | 13.1124 | + | 22.7114i | 0.748365 | + | 1.29621i | 0.948606 | + | 0.316459i | \(0.102494\pi\) |
−0.200241 | + | 0.979747i | \(0.564173\pi\) | |||||||
\(308\) | −6.67487 | + | 6.51589i | −0.380336 | + | 0.371277i | ||||
\(309\) | 17.8882 | + | 2.48666i | 1.01762 | + | 0.141461i | ||||
\(310\) | 25.7030 | − | 21.5674i | 1.45983 | − | 1.22495i | ||||
\(311\) | 8.88367 | + | 3.23339i | 0.503747 | + | 0.183349i | 0.581378 | − | 0.813633i | \(-0.302514\pi\) |
−0.0776317 | + | 0.996982i | \(0.524736\pi\) | |||||||
\(312\) | 5.22515 | + | 0.726356i | 0.295816 | + | 0.0411218i | ||||
\(313\) | −3.62216 | + | 20.5423i | −0.204737 | + | 1.16112i | 0.693117 | + | 0.720825i | \(0.256237\pi\) |
−0.897854 | + | 0.440294i | \(0.854874\pi\) | |||||||
\(314\) | −1.07872 | − | 1.86839i | −0.0608756 | − | 0.105440i | ||||
\(315\) | −25.5618 | − | 5.20928i | −1.44025 | − | 0.293510i | ||||
\(316\) | −0.105630 | + | 0.182957i | −0.00594217 | + | 0.0102921i | ||||
\(317\) | −6.32445 | − | 5.30684i | −0.355216 | − | 0.298062i | 0.447664 | − | 0.894202i | \(-0.352256\pi\) |
−0.802881 | + | 0.596140i | \(0.796700\pi\) | |||||||
\(318\) | 0.504603 | + | 13.8541i | 0.0282967 | + | 0.776901i | ||||
\(319\) | −2.33879 | − | 13.2639i | −0.130947 | − | 0.742637i | ||||
\(320\) | 3.90182 | + | 22.1283i | 0.218118 | + | 1.23701i | ||||
\(321\) | −7.46970 | − | 8.27096i | −0.416918 | − | 0.461640i | ||||
\(322\) | 3.70962 | + | 14.5434i | 0.206729 | + | 0.810470i | ||||
\(323\) | 1.42583 | 0.0793355 | ||||||||
\(324\) | −0.266063 | + | 9.20156i | −0.0147813 | + | 0.511198i | ||||
\(325\) | 2.95708 | − | 5.12182i | 0.164030 | − | 0.284108i | ||||
\(326\) | −14.9645 | − | 12.5567i | −0.828808 | − | 0.695453i | ||||
\(327\) | −1.02663 | + | 3.17586i | −0.0567730 | + | 0.175625i | ||||
\(328\) | 13.8735 | + | 5.04953i | 0.766035 | + | 0.278814i | ||||
\(329\) | −0.738193 | − | 1.08177i | −0.0406979 | − | 0.0596397i | ||||
\(330\) | −16.4345 | + | 10.3037i | −0.904687 | + | 0.567200i | ||||
\(331\) | 0.524709 | + | 0.440283i | 0.0288406 | + | 0.0242001i | 0.657094 | − | 0.753809i | \(-0.271785\pi\) |
−0.628253 | + | 0.778009i | \(0.716230\pi\) | |||||||
\(332\) | 7.00916 | + | 12.1402i | 0.384678 | + | 0.666281i | ||||
\(333\) | 2.77686 | − | 27.2048i | 0.152171 | − | 1.49082i | ||||
\(334\) | 1.47154 | − | 2.54878i | 0.0805191 | − | 0.139463i | ||||
\(335\) | 24.5358 | + | 20.5880i | 1.34054 | + | 1.12484i | ||||
\(336\) | 0.978950 | − | 4.04508i | 0.0534061 | − | 0.220677i | ||||
\(337\) | −1.52858 | − | 8.66903i | −0.0832672 | − | 0.472232i | −0.997717 | − | 0.0675326i | \(-0.978487\pi\) |
0.914450 | − | 0.404699i | \(-0.132624\pi\) | |||||||
\(338\) | −9.05754 | + | 7.60018i | −0.492665 | + | 0.413395i | ||||
\(339\) | 17.0027 | − | 21.8299i | 0.923460 | − | 1.18564i | ||||
\(340\) | −2.11999 | + | 0.771615i | −0.114973 | + | 0.0418467i | ||||
\(341\) | 17.7989 | − | 30.8286i | 0.963864 | − | 1.66946i | ||||
\(342\) | 4.51917 | − | 4.39038i | 0.244369 | − | 0.237405i | ||||
\(343\) | 12.6139 | + | 13.5606i | 0.681084 | + | 0.732205i | ||||
\(344\) | −7.92003 | + | 2.88265i | −0.427019 | + | 0.155422i | ||||
\(345\) | −1.18910 | − | 32.6473i | −0.0640189 | − | 1.75767i | ||||
\(346\) | −0.947516 | − | 5.37363i | −0.0509388 | − | 0.288888i | ||||
\(347\) | 2.53038 | − | 2.12324i | 0.135838 | − | 0.113982i | −0.572337 | − | 0.820018i | \(-0.693963\pi\) |
0.708175 | + | 0.706037i | \(0.249519\pi\) | |||||||
\(348\) | −4.63957 | − | 5.13724i | −0.248707 | − | 0.275385i | ||||
\(349\) | −3.90078 | + | 22.1224i | −0.208804 | + | 1.18419i | 0.682537 | + | 0.730851i | \(0.260877\pi\) |
−0.891341 | + | 0.453334i | \(0.850234\pi\) | |||||||
\(350\) | −12.3250 | − | 8.85333i | −0.658799 | − | 0.473230i | ||||
\(351\) | 3.82639 | + | 3.66197i | 0.204238 | + | 0.195462i | ||||
\(352\) | 8.75270 | + | 15.1601i | 0.466520 | + | 0.808037i | ||||
\(353\) | −3.45775 | − | 2.90140i | −0.184037 | − | 0.154426i | 0.546115 | − | 0.837710i | \(-0.316106\pi\) |
−0.730152 | + | 0.683285i | \(0.760551\pi\) | |||||||
\(354\) | −11.0907 | − | 12.2804i | −0.589464 | − | 0.652695i | ||||
\(355\) | −5.39130 | − | 30.5756i | −0.286141 | − | 1.62278i | ||||
\(356\) | −9.39574 | + | 7.88396i | −0.497973 | + | 0.417849i | ||||
\(357\) | 3.06931 | + | 0.193351i | 0.162445 | + | 0.0102332i | ||||
\(358\) | 5.48289 | − | 1.99561i | 0.289780 | − | 0.105471i | ||||
\(359\) | −19.1054 | −1.00835 | −0.504173 | − | 0.863603i | \(-0.668203\pi\) | ||||
−0.504173 | + | 0.863603i | \(0.668203\pi\) | |||||||
\(360\) | −12.8363 | + | 26.5199i | −0.676531 | + | 1.39772i | ||||
\(361\) | −14.4861 | −0.762424 | ||||||||
\(362\) | 0.971825 | − | 5.51150i | 0.0510780 | − | 0.289678i | ||||
\(363\) | −0.938282 | + | 1.20467i | −0.0492470 | + | 0.0632286i | ||||
\(364\) | 1.55476 | + | 2.27838i | 0.0814915 | + | 0.119420i | ||||
\(365\) | 6.35078 | + | 36.0170i | 0.332415 | + | 1.88522i | ||||
\(366\) | 14.8558 | + | 2.06514i | 0.776527 | + | 0.107946i | ||||
\(367\) | 5.04865 | − | 1.83756i | 0.263537 | − | 0.0959197i | −0.206872 | − | 0.978368i | \(-0.566328\pi\) |
0.470409 | + | 0.882448i | \(0.344106\pi\) | |||||||
\(368\) | 5.21187 | 0.271687 | ||||||||
\(369\) | 8.32546 | + | 12.2635i | 0.433406 | + | 0.638412i | ||||
\(370\) | 14.8078 | − | 25.6478i | 0.769820 | − | 1.33337i | ||||
\(371\) | −15.3294 | + | 14.9643i | −0.795863 | + | 0.776907i | ||||
\(372\) | −0.665931 | − | 18.2835i | −0.0345269 | − | 0.947954i | ||||
\(373\) | 35.0210 | + | 12.7466i | 1.81332 | + | 0.659994i | 0.996547 | + | 0.0830314i | \(0.0264602\pi\) |
0.816771 | + | 0.576962i | \(0.195762\pi\) | |||||||
\(374\) | 1.75174 | − | 1.46988i | 0.0905801 | − | 0.0760058i | ||||
\(375\) | 3.06113 | + | 3.38949i | 0.158076 | + | 0.175032i | ||||
\(376\) | −1.38991 | + | 0.505886i | −0.0716792 | + | 0.0260891i | ||||
\(377\) | −3.98270 | −0.205120 | ||||||||
\(378\) | 10.3235 | − | 8.83809i | 0.530984 | − | 0.454582i | ||||
\(379\) | −35.8364 | −1.84079 | −0.920397 | − | 0.390985i | \(-0.872134\pi\) | ||||
−0.920397 | + | 0.390985i | \(0.872134\pi\) | |||||||
\(380\) | −6.71154 | + | 2.44280i | −0.344295 | + | 0.125313i | ||||
\(381\) | −11.0302 | + | 34.1216i | −0.565095 | + | 1.74810i | ||||
\(382\) | 3.26263 | − | 2.73767i | 0.166931 | − | 0.140071i | ||||
\(383\) | 4.95949 | + | 1.80511i | 0.253418 | + | 0.0922366i | 0.465606 | − | 0.884992i | \(-0.345837\pi\) |
−0.212188 | + | 0.977229i | \(0.568059\pi\) | |||||||
\(384\) | 5.20205 | + | 2.75598i | 0.265466 | + | 0.140641i | ||||
\(385\) | −28.8570 | − | 8.10619i | −1.47069 | − | 0.413130i | ||||
\(386\) | 9.75465 | − | 16.8956i | 0.496499 | − | 0.859961i | ||||
\(387\) | −8.14096 | − | 2.30798i | −0.413828 | − | 0.117321i | ||||
\(388\) | −0.770545 | −0.0391185 | ||||||||
\(389\) | 0.0879882 | − | 0.0320251i | 0.00446118 | − | 0.00162374i | −0.339789 | − | 0.940502i | \(-0.610356\pi\) |
0.344250 | + | 0.938878i | \(0.388133\pi\) | |||||||
\(390\) | 2.15667 | + | 5.31498i | 0.109207 | + | 0.269135i | ||||
\(391\) | 0.668771 | + | 3.79279i | 0.0338212 | + | 0.191810i | ||||
\(392\) | 18.3614 | − | 10.0188i | 0.927389 | − | 0.506027i | ||||
\(393\) | 6.92427 | + | 17.0644i | 0.349283 | + | 0.860786i | ||||
\(394\) | 2.12082 | − | 12.0278i | 0.106845 | − | 0.605950i | ||||
\(395\) | −0.678854 | −0.0341569 | ||||||||
\(396\) | −1.07403 | + | 10.5222i | −0.0539719 | + | 0.528762i | ||||
\(397\) | 2.18794 | 0.109809 | 0.0549047 | − | 0.998492i | \(-0.482514\pi\) | ||||
0.0549047 | + | 0.998492i | \(0.482514\pi\) | |||||||
\(398\) | −24.7045 | + | 8.99172i | −1.23833 | + | 0.450714i | ||||
\(399\) | 9.71690 | + | 0.612116i | 0.486453 | + | 0.0306442i | ||||
\(400\) | −4.03673 | + | 3.38722i | −0.201837 | + | 0.169361i | ||||
\(401\) | −0.0591179 | − | 0.335274i | −0.00295221 | − | 0.0167428i | 0.983296 | − | 0.182013i | \(-0.0582614\pi\) |
−0.986248 | + | 0.165271i | \(0.947150\pi\) | |||||||
\(402\) | −16.3156 | + | 3.49357i | −0.813746 | + | 0.174243i | ||||
\(403\) | −8.06370 | − | 6.76625i | −0.401682 | − | 0.337051i | ||||
\(404\) | −2.98357 | − | 5.16769i | −0.148438 | − | 0.257102i | ||||
\(405\) | −26.0339 | + | 14.0435i | −1.29364 | + | 0.697826i | ||||
\(406\) | −1.01329 | + | 10.1689i | −0.0502888 | + | 0.504673i | ||||
\(407\) | 5.45611 | − | 30.9431i | 0.270449 | − | 1.53379i | ||||
\(408\) | 1.06837 | − | 3.30498i | 0.0528924 | − | 0.163621i | ||||
\(409\) | −4.72780 | + | 3.96710i | −0.233775 | + | 0.196160i | −0.752148 | − | 0.658994i | \(-0.770982\pi\) |
0.518373 | + | 0.855154i | \(0.326538\pi\) | |||||||
\(410\) | 2.78750 | + | 15.8087i | 0.137665 | + | 0.780736i | ||||
\(411\) | −5.00682 | − | 2.65255i | −0.246968 | − | 0.130841i | ||||
\(412\) | 10.0218 | − | 3.64765i | 0.493740 | − | 0.179707i | ||||
\(413\) | 2.53538 | − | 25.4438i | 0.124758 | − | 1.25201i | ||||
\(414\) | 13.7983 | + | 9.96195i | 0.678150 | + | 0.489603i | ||||
\(415\) | −22.5229 | + | 39.0107i | −1.10560 | + | 1.91496i | ||||
\(416\) | 4.86424 | − | 1.77044i | 0.238489 | − | 0.0868029i | ||||
\(417\) | 25.0511 | + | 3.48239i | 1.22676 | + | 0.170533i | ||||
\(418\) | 5.54570 | − | 4.65339i | 0.271249 | − | 0.227605i | ||||
\(419\) | −0.733174 | − | 4.15804i | −0.0358179 | − | 0.203133i | 0.961647 | − | 0.274289i | \(-0.0884424\pi\) |
−0.997465 | + | 0.0711555i | \(0.977331\pi\) | |||||||
\(420\) | −14.7788 | + | 4.34835i | −0.721131 | + | 0.212178i | ||||
\(421\) | 9.95815 | + | 8.35588i | 0.485330 | + | 0.407241i | 0.852349 | − | 0.522973i | \(-0.175177\pi\) |
−0.367019 | + | 0.930213i | \(0.619622\pi\) | |||||||
\(422\) | 6.35762 | − | 11.0117i | 0.309484 | − | 0.536043i | ||||
\(423\) | −1.42868 | − | 0.405034i | −0.0694650 | − | 0.0196934i | ||||
\(424\) | 12.0973 | + | 20.9532i | 0.587498 | + | 1.01758i | ||||
\(425\) | −2.98294 | − | 2.50298i | −0.144694 | − | 0.121412i | ||||
\(426\) | 14.2920 | + | 7.57173i | 0.692451 | + | 0.366851i | ||||
\(427\) | 13.0639 | + | 19.1442i | 0.632209 | + | 0.926454i | ||||
\(428\) | −6.18437 | − | 2.25093i | −0.298933 | − | 0.108803i | ||||
\(429\) | 4.07874 | + | 4.51626i | 0.196923 | + | 0.218047i | ||||
\(430\) | −7.02005 | − | 5.89052i | −0.338537 | − | 0.284066i | ||||
\(431\) | −6.67486 | + | 11.5612i | −0.321517 | + | 0.556883i | −0.980801 | − | 0.195011i | \(-0.937526\pi\) |
0.659285 | + | 0.751893i | \(0.270859\pi\) | |||||||
\(432\) | −2.08778 | − | 4.23214i | −0.100448 | − | 0.203619i | ||||
\(433\) | 20.5362 | 0.986905 | 0.493452 | − | 0.869773i | \(-0.335735\pi\) | ||||
0.493452 | + | 0.869773i | \(0.335735\pi\) | |||||||
\(434\) | −19.3276 | + | 18.8673i | −0.927755 | + | 0.905658i | ||||
\(435\) | 6.84186 | − | 21.1650i | 0.328042 | − | 1.01479i | ||||
\(436\) | 0.342258 | + | 1.94104i | 0.0163912 | + | 0.0929589i | ||||
\(437\) | 2.11721 | + | 12.0073i | 0.101280 | + | 0.574388i | ||||
\(438\) | −16.8355 | − | 8.91925i | −0.804433 | − | 0.426178i | ||||
\(439\) | −20.3215 | − | 17.0518i | −0.969892 | − | 0.813836i | 0.0126418 | − | 0.999920i | \(-0.495976\pi\) |
−0.982534 | + | 0.186084i | \(0.940420\pi\) | |||||||
\(440\) | −16.9264 | + | 29.3174i | −0.806934 | + | 1.39765i | ||||
\(441\) | 20.8340 | + | 2.63533i | 0.992095 | + | 0.125492i | ||||
\(442\) | −0.338098 | − | 0.585602i | −0.0160817 | − | 0.0278543i | ||||
\(443\) | −1.64293 | + | 9.31754i | −0.0780582 | + | 0.442690i | 0.920582 | + | 0.390550i | \(0.127715\pi\) |
−0.998640 | + | 0.0521396i | \(0.983396\pi\) | |||||||
\(444\) | −6.07184 | − | 14.9637i | −0.288157 | − | 0.710145i | ||||
\(445\) | −37.0357 | − | 13.4799i | −1.75566 | − | 0.639008i | ||||
\(446\) | 7.15295 | − | 6.00204i | 0.338702 | − | 0.284205i | ||||
\(447\) | −1.30847 | + | 1.67996i | −0.0618886 | + | 0.0794592i | ||||
\(448\) | −4.47059 | − | 17.5267i | −0.211216 | − | 0.828060i | ||||
\(449\) | −3.24013 | − | 5.61207i | −0.152911 | − | 0.264850i | 0.779385 | − | 0.626545i | \(-0.215532\pi\) |
−0.932297 | + | 0.361695i | \(0.882198\pi\) | |||||||
\(450\) | −17.1615 | + | 1.25179i | −0.809000 | + | 0.0590100i | ||||
\(451\) | 8.51545 | + | 14.7492i | 0.400977 | + | 0.694512i | ||||
\(452\) | 2.83740 | − | 16.0917i | 0.133460 | − | 0.756890i | ||||
\(453\) | 7.03989 | − | 4.41371i | 0.330763 | − | 0.207374i | ||||
\(454\) | −15.8970 | + | 13.3392i | −0.746083 | + | 0.626038i | ||||
\(455\) | −3.84238 | + | 7.98726i | −0.180134 | + | 0.374449i | ||||
\(456\) | 3.38229 | − | 10.4630i | 0.158390 | − | 0.489974i | ||||
\(457\) | −26.1336 | + | 9.51184i | −1.22248 | + | 0.444945i | −0.871015 | − | 0.491257i | \(-0.836538\pi\) |
−0.351462 | + | 0.936202i | \(0.614315\pi\) | |||||||
\(458\) | −6.99588 | + | 12.1172i | −0.326896 | + | 0.566200i | ||||
\(459\) | 2.81193 | − | 2.06238i | 0.131249 | − | 0.0962636i | ||||
\(460\) | −9.64594 | − | 16.7073i | −0.449744 | − | 0.778980i | ||||
\(461\) | −3.90326 | + | 22.1365i | −0.181793 | + | 1.03100i | 0.748214 | + | 0.663457i | \(0.230911\pi\) |
−0.930007 | + | 0.367541i | \(0.880200\pi\) | |||||||
\(462\) | 12.5689 | − | 9.26505i | 0.584759 | − | 0.431049i | ||||
\(463\) | 0.905268 | + | 0.329491i | 0.0420714 | + | 0.0153127i | 0.362970 | − | 0.931801i | \(-0.381763\pi\) |
−0.320899 | + | 0.947114i | \(0.603985\pi\) | |||||||
\(464\) | 3.33461 | + | 1.21370i | 0.154806 | + | 0.0563446i | ||||
\(465\) | 49.8101 | − | 31.2288i | 2.30989 | − | 1.44820i | ||||
\(466\) | −1.76718 | + | 10.0222i | −0.0818628 | + | 0.464267i | ||||
\(467\) | 16.4557 | 0.761479 | 0.380740 | − | 0.924682i | \(-0.375669\pi\) | ||||
0.380740 | + | 0.924682i | \(0.375669\pi\) | |||||||
\(468\) | 3.00905 | + | 0.853070i | 0.139093 | + | 0.0394332i | ||||
\(469\) | −20.9407 | − | 15.0421i | −0.966950 | − | 0.694582i | ||||
\(470\) | −1.23197 | − | 1.03375i | −0.0568266 | − | 0.0476831i | ||||
\(471\) | −1.42133 | − | 3.50279i | −0.0654916 | − | 0.161400i | ||||
\(472\) | −27.1371 | − | 9.87710i | −1.24909 | − | 0.454630i | ||||
\(473\) | −9.13618 | − | 3.32530i | −0.420082 | − | 0.152897i | ||||
\(474\) | 0.217307 | − | 0.279001i | 0.00998122 | − | 0.0128150i | ||||
\(475\) | −9.44346 | − | 7.92401i | −0.433296 | − | 0.363578i | ||||
\(476\) | 1.65508 | − | 0.747626i | 0.0758603 | − | 0.0342674i | ||||
\(477\) | −2.46660 | + | 24.1652i | −0.112938 | + | 1.10645i | ||||
\(478\) | −29.8042 | −1.36321 | ||||||||
\(479\) | 1.51826 | − | 8.61050i | 0.0693713 | − | 0.393424i | −0.930276 | − | 0.366861i | \(-0.880433\pi\) |
0.999647 | − | 0.0265632i | \(-0.00845633\pi\) | |||||||
\(480\) | 1.05229 | + | 28.8912i | 0.0480303 | + | 1.31870i | ||||
\(481\) | −8.73084 | − | 3.17776i | −0.398092 | − | 0.144894i | ||||
\(482\) | −3.70899 | − | 1.34996i | −0.168940 | − | 0.0614891i | ||||
\(483\) | 2.92934 | + | 26.1346i | 0.133290 | + | 1.18916i | ||||
\(484\) | −0.156580 | + | 0.888009i | −0.00711727 | + | 0.0403640i | ||||
\(485\) | −1.23801 | − | 2.14430i | −0.0562153 | − | 0.0973678i | ||||
\(486\) | 2.56196 | − | 15.1951i | 0.116213 | − | 0.689263i | ||||
\(487\) | 14.5826 | − | 25.2578i | 0.660800 | − | 1.14454i | −0.319605 | − | 0.947551i | \(-0.603550\pi\) |
0.980406 | − | 0.196989i | \(-0.0631163\pi\) | |||||||
\(488\) | 24.5975 | − | 8.95277i | 1.11348 | − | 0.405273i | ||||
\(489\) | −22.9412 | − | 25.4020i | −1.03744 | − | 1.14872i | ||||
\(490\) | 19.4160 | + | 11.8428i | 0.877125 | + | 0.535001i | ||||
\(491\) | 15.5226 | − | 13.0250i | 0.700526 | − | 0.587811i | −0.221398 | − | 0.975184i | \(-0.571062\pi\) |
0.921923 | + | 0.387373i | \(0.126617\pi\) | |||||||
\(492\) | 7.73467 | + | 4.09773i | 0.348706 | + | 0.184740i | ||||
\(493\) | −0.455349 | + | 2.58241i | −0.0205079 | + | 0.116306i | ||||
\(494\) | −1.07036 | − | 1.85392i | −0.0481577 | − | 0.0834116i | ||||
\(495\) | −31.0073 | + | 13.9169i | −1.39368 | + | 0.625520i | ||||
\(496\) | 4.68956 | + | 8.12256i | 0.210568 | + | 0.364714i | ||||
\(497\) | 6.17720 | + | 24.2174i | 0.277085 | + | 1.08630i | ||||
\(498\) | −8.82322 | − | 21.7443i | −0.395378 | − | 0.974385i | ||||
\(499\) | −1.74812 | + | 1.46684i | −0.0782565 | + | 0.0656650i | −0.681077 | − | 0.732212i | \(-0.738488\pi\) |
0.602820 | + | 0.797877i | \(0.294044\pi\) | |||||||
\(500\) | 2.53439 | + | 0.922442i | 0.113341 | + | 0.0412529i | ||||
\(501\) | 3.16871 | − | 4.06833i | 0.141568 | − | 0.181760i | ||||
\(502\) | −3.01519 | + | 17.1000i | −0.134575 | + | 0.763211i | ||||
\(503\) | −13.6032 | − | 23.5614i | −0.606535 | − | 1.05055i | −0.991807 | − | 0.127747i | \(-0.959226\pi\) |
0.385272 | − | 0.922803i | \(-0.374108\pi\) | |||||||
\(504\) | 8.69969 | − | 22.0644i | 0.387515 | − | 0.982826i | ||||
\(505\) | 9.58723 | − | 16.6056i | 0.426626 | − | 0.738939i | ||||
\(506\) | 14.9794 | + | 12.5692i | 0.665916 | + | 0.558770i | ||||
\(507\) | −17.5527 | + | 11.0048i | −0.779541 | + | 0.488739i | ||||
\(508\) | 3.67723 | + | 20.8546i | 0.163151 | + | 0.925275i | ||||
\(509\) | 1.12521 | + | 6.38139i | 0.0498741 | + | 0.282850i | 0.999537 | − | 0.0304233i | \(-0.00968554\pi\) |
−0.949663 | + | 0.313273i | \(0.898574\pi\) | |||||||
\(510\) | 3.69285 | − | 0.790730i | 0.163522 | − | 0.0350141i | ||||
\(511\) | −7.27654 | − | 28.5273i | −0.321895 | − | 1.26197i | ||||
\(512\) | −10.0398 | −0.443701 | ||||||||
\(513\) | 8.90207 | − | 6.52914i | 0.393036 | − | 0.288268i | ||||
\(514\) | 0.584711 | − | 1.01275i | 0.0257905 | − | 0.0446705i | ||||
\(515\) | 26.2526 | + | 22.0286i | 1.15683 | + | 0.970695i | ||||
\(516\) | −4.88616 | + | 1.04625i | −0.215101 | + | 0.0460585i | ||||
\(517\) | −1.60334 | − | 0.583567i | −0.0705147 | − | 0.0256652i | ||||
\(518\) | −10.3350 | + | 21.4836i | −0.454094 | + | 0.943936i | ||||
\(519\) | −0.347995 | − | 9.55438i | −0.0152753 | − | 0.419391i | ||||
\(520\) | 7.66842 | + | 6.43457i | 0.336282 | + | 0.282174i | ||||
\(521\) | 12.3264 | + | 21.3500i | 0.540030 | + | 0.935359i | 0.998902 | + | 0.0468563i | \(0.0149203\pi\) |
−0.458872 | + | 0.888502i | \(0.651746\pi\) | |||||||
\(522\) | 6.50846 | + | 9.58702i | 0.284867 | + | 0.419613i | ||||
\(523\) | −2.97729 | + | 5.15682i | −0.130188 | + | 0.225492i | −0.923749 | − | 0.382999i | \(-0.874891\pi\) |
0.793561 | + | 0.608491i | \(0.208225\pi\) | |||||||
\(524\) | 8.33073 | + | 6.99031i | 0.363930 | + | 0.305373i | ||||
\(525\) | −19.2538 | − | 18.3381i | −0.840306 | − | 0.800341i | ||||
\(526\) | 1.73005 | + | 9.81158i | 0.0754336 | + | 0.427805i | ||||
\(527\) | −5.30922 | + | 4.45496i | −0.231273 | + | 0.194061i | ||||
\(528\) | −2.03873 | − | 5.02431i | −0.0887241 | − | 0.218655i | ||||
\(529\) | −9.33410 | + | 3.39734i | −0.405831 | + | 0.147710i | ||||
\(530\) | −13.1533 | + | 22.7822i | −0.571342 | + | 0.989594i | ||||
\(531\) | −16.2850 | − | 23.9879i | −0.706707 | − | 1.04099i | ||||
\(532\) | 5.23969 | − | 2.36685i | 0.227169 | − | 0.102616i | ||||
\(533\) | 4.73239 | − | 1.72245i | 0.204983 | − | 0.0746076i | ||||
\(534\) | 17.3955 | − | 10.9062i | 0.752777 | − | 0.471959i | ||||
\(535\) | −3.67229 | − | 20.8266i | −0.158767 | − | 0.900413i | ||||
\(536\) | −22.3071 | + | 18.7179i | −0.963519 | + | 0.808488i | ||||
\(537\) | 9.99685 | − | 2.14057i | 0.431396 | − | 0.0923725i | ||||
\(538\) | 1.68887 | − | 9.57804i | 0.0728123 | − | 0.412939i | ||||
\(539\) | 23.6543 | + | 4.76141i | 1.01886 | + | 0.205088i | ||||
\(540\) | −9.70265 | + | 14.5253i | −0.417535 | + | 0.625071i | ||||
\(541\) | 2.08931 | + | 3.61879i | 0.0898264 | + | 0.155584i | 0.907438 | − | 0.420187i | \(-0.138035\pi\) |
−0.817611 | + | 0.575771i | \(0.804702\pi\) | |||||||
\(542\) | −9.08025 | − | 7.61924i | −0.390030 | − | 0.327274i | ||||
\(543\) | 3.01623 | − | 9.33059i | 0.129439 | − | 0.400414i | ||||
\(544\) | −0.591828 | − | 3.35643i | −0.0253744 | − | 0.143906i | ||||
\(545\) | −4.85171 | + | 4.07107i | −0.207824 | + | 0.174385i | ||||
\(546\) | −2.05270 | − | 4.13596i | −0.0878473 | − | 0.177003i | ||||
\(547\) | 18.7934 | − | 6.84024i | 0.803548 | − | 0.292468i | 0.0925921 | − | 0.995704i | \(-0.470485\pi\) |
0.710956 | + | 0.703237i | \(0.248263\pi\) | |||||||
\(548\) | −3.34596 | −0.142932 | ||||||||
\(549\) | 25.2837 | + | 7.16797i | 1.07908 | + | 0.305921i | ||||
\(550\) | −19.7708 | −0.843028 | ||||||||
\(551\) | −1.44156 | + | 8.17547i | −0.0614124 | + | 0.348287i | ||||
\(552\) | 29.4185 | + | 4.08951i | 1.25213 | + | 0.174061i | ||||
\(553\) | 0.544927 | − | 0.0410639i | 0.0231726 | − | 0.00174621i | ||||
\(554\) | 2.18456 | + | 12.3892i | 0.0928130 | + | 0.526369i | ||||
\(555\) | 31.8861 | − | 40.9387i | 1.35349 | − | 1.73775i | ||||
\(556\) | 14.0349 | − | 5.10827i | 0.595211 | − | 0.216639i | ||||
\(557\) | 25.3785 | 1.07532 | 0.537661 | − | 0.843161i | \(-0.319308\pi\) | ||||
0.537661 | + | 0.843161i | \(0.319308\pi\) | |||||||
\(558\) | −3.10993 | + | 30.4679i | −0.131654 | + | 1.28981i | ||||
\(559\) | −1.43749 | + | 2.48981i | −0.0607995 | + | 0.105308i | ||||
\(560\) | 5.65119 | − | 5.51659i | 0.238806 | − | 0.233119i | ||||
\(561\) | 3.39470 | − | 2.12833i | 0.143324 | − | 0.0898582i | ||||
\(562\) | 22.0159 | + | 8.01313i | 0.928685 | + | 0.338014i | ||||
\(563\) | 8.75110 | − | 7.34304i | 0.368815 | − | 0.309472i | −0.439478 | − | 0.898254i | \(-0.644836\pi\) |
0.808293 | + | 0.588781i | \(0.200392\pi\) | |||||||
\(564\) | −0.857488 | + | 0.183609i | −0.0361068 | + | 0.00773135i | ||||
\(565\) | 49.3394 | − | 17.9581i | 2.07573 | − | 0.755502i | ||||
\(566\) | 2.54199 | 0.106848 | ||||||||
\(567\) | 20.0483 | − | 12.8477i | 0.841952 | − | 0.539553i | ||||
\(568\) | 28.2270 | 1.18438 | ||||||||
\(569\) | 6.17207 | − | 2.24645i | 0.258747 | − | 0.0941760i | −0.209390 | − | 0.977832i | \(-0.567148\pi\) |
0.468136 | + | 0.883656i | \(0.344926\pi\) | |||||||
\(570\) | 11.6909 | − | 2.50332i | 0.489679 | − | 0.104852i | ||||
\(571\) | 11.5513 | − | 9.69268i | 0.483406 | − | 0.405626i | −0.368250 | − | 0.929727i | \(-0.620043\pi\) |
0.851656 | + | 0.524101i | \(0.175598\pi\) | |||||||
\(572\) | 3.37690 | + | 1.22909i | 0.141195 | + | 0.0513908i | ||||
\(573\) | 6.32267 | − | 3.96404i | 0.264133 | − | 0.165600i | ||||
\(574\) | −3.19384 | − | 12.5213i | −0.133308 | − | 0.522628i | ||||
\(575\) | 16.6489 | − | 28.8368i | 0.694307 | − | 1.20258i | ||||
\(576\) | −16.6288 | − | 12.0055i | −0.692868 | − | 0.500229i | ||||
\(577\) | 5.26403 | 0.219144 | 0.109572 | − | 0.993979i | \(-0.465052\pi\) | ||||
0.109572 | + | 0.993979i | \(0.465052\pi\) | |||||||
\(578\) | 15.3731 | − | 5.59534i | 0.639435 | − | 0.232735i | ||||
\(579\) | 21.0050 | − | 26.9685i | 0.872938 | − | 1.12077i | ||||
\(580\) | −2.28093 | − | 12.9358i | −0.0947104 | − | 0.537129i | ||||
\(581\) | 15.7197 | − | 32.6769i | 0.652163 | − | 1.35567i | ||||
\(582\) | 1.27758 | + | 0.177599i | 0.0529575 | + | 0.00736171i | ||||
\(583\) | −4.84649 | + | 27.4858i | −0.200721 | + | 1.13835i | ||||
\(584\) | −33.2505 | −1.37592 | ||||||||
\(585\) | 2.46060 | + | 9.74431i | 0.101733 | + | 0.402878i | ||||
\(586\) | −7.03442 | −0.290589 | ||||||||
\(587\) | 24.2835 | − | 8.83848i | 1.00229 | − | 0.364803i | 0.211822 | − | 0.977308i | \(-0.432060\pi\) |
0.790467 | + | 0.612505i | \(0.209838\pi\) | |||||||
\(588\) | 11.6001 | − | 4.38445i | 0.478381 | − | 0.180812i | ||||
\(589\) | −16.8081 | + | 14.1036i | −0.692565 | + | 0.581131i | ||||
\(590\) | −5.45247 | − | 30.9225i | −0.224475 | − | 1.27306i | ||||
\(591\) | 6.58233 | − | 20.3622i | 0.270761 | − | 0.837589i | ||||
\(592\) | 6.34170 | + | 5.32132i | 0.260642 | + | 0.218705i | ||||
\(593\) | −2.90388 | − | 5.02967i | −0.119248 | − | 0.206544i | 0.800222 | − | 0.599704i | \(-0.204715\pi\) |
−0.919470 | + | 0.393160i | \(0.871382\pi\) | |||||||
\(594\) | 4.20598 | − | 17.1986i | 0.172573 | − | 0.705666i | ||||
\(595\) | 4.73969 | + | 3.40462i | 0.194308 | + | 0.139576i | ||||
\(596\) | −0.218357 | + | 1.23837i | −0.00894426 | + | 0.0507254i | ||||
\(597\) | −45.0433 | + | 9.64488i | −1.84350 | + | 0.394739i | ||||
\(598\) | 4.42947 | − | 3.71677i | 0.181135 | − | 0.151990i | ||||
\(599\) | −0.120606 | − | 0.683991i | −0.00492783 | − | 0.0279471i | 0.982245 | − | 0.187604i | \(-0.0600722\pi\) |
−0.987173 | + | 0.159657i | \(0.948961\pi\) | |||||||
\(600\) | −25.4432 | + | 15.9518i | −1.03871 | + | 0.651229i | ||||
\(601\) | −11.0211 | + | 4.01136i | −0.449560 | + | 0.163627i | −0.556871 | − | 0.830599i | \(-0.687998\pi\) |
0.107311 | + | 0.994226i | \(0.465776\pi\) | |||||||
\(602\) | 5.99142 | + | 4.30377i | 0.244192 | + | 0.175408i | ||||
\(603\) | −29.1580 | + | 2.12684i | −1.18741 | + | 0.0866117i | ||||
\(604\) | 2.45337 | − | 4.24936i | 0.0998262 | − | 0.172904i | ||||
\(605\) | −2.72276 | + | 0.991004i | −0.110696 | + | 0.0402900i | ||||
\(606\) | 3.75575 | + | 9.25582i | 0.152567 | + | 0.375992i | ||||
\(607\) | −11.7889 | + | 9.89206i | −0.478497 | + | 0.401506i | −0.849882 | − | 0.526972i | \(-0.823327\pi\) |
0.371386 | + | 0.928479i | \(0.378883\pi\) | |||||||
\(608\) | −1.87363 | − | 10.6259i | −0.0759856 | − | 0.430936i | ||||
\(609\) | −4.21179 | + | 17.4034i | −0.170670 | + | 0.705220i | ||||
\(610\) | 21.8024 | + | 18.2944i | 0.882754 | + | 0.740719i | ||||
\(611\) | −0.252270 | + | 0.436945i | −0.0102058 | + | 0.0176769i | ||||
\(612\) | 0.897166 | − | 1.85356i | 0.0362658 | − | 0.0749255i | ||||
\(613\) | 13.8987 | + | 24.0732i | 0.561362 | + | 0.972307i | 0.997378 | + | 0.0723685i | \(0.0230558\pi\) |
−0.436016 | + | 0.899939i | \(0.643611\pi\) | |||||||
\(614\) | −19.8588 | − | 16.6635i | −0.801436 | − | 0.672485i | ||||
\(615\) | 1.02377 | + | 28.1081i | 0.0412823 | + | 1.13343i | ||||
\(616\) | 11.8137 | − | 24.5574i | 0.475986 | − | 0.989445i | ||||
\(617\) | −24.7888 | − | 9.02237i | −0.997958 | − | 0.363227i | −0.209161 | − | 0.977881i | \(-0.567073\pi\) |
−0.788797 | + | 0.614654i | \(0.789295\pi\) | |||||||
\(618\) | −17.4572 | + | 3.73801i | −0.702230 | + | 0.150365i | ||||
\(619\) | −25.2673 | − | 21.2017i | −1.01558 | − | 0.852170i | −0.0265117 | − | 0.999649i | \(-0.508440\pi\) |
−0.989065 | + | 0.147478i | \(0.952884\pi\) | |||||||
\(620\) | 17.3586 | − | 30.0659i | 0.697137 | − | 1.20748i | ||||
\(621\) | 21.5433 | + | 20.6175i | 0.864501 | + | 0.827354i | ||||
\(622\) | −9.34530 | −0.374712 | ||||||||
\(623\) | 30.5445 | + | 8.58023i | 1.22374 | + | 0.343760i | ||||
\(624\) | −1.56782 | + | 0.335710i | −0.0627632 | + | 0.0134392i | ||||
\(625\) | −3.53286 | − | 20.0358i | −0.141314 | − | 0.801433i | ||||
\(626\) | −3.58059 | − | 20.3065i | −0.143109 | − | 0.811612i | ||||
\(627\) | 10.7470 | − | 6.73793i | 0.429195 | − | 0.269087i | ||||
\(628\) | −1.71004 | − | 1.43489i | −0.0682379 | − | 0.0572584i | ||||
\(629\) | −3.05870 | + | 5.29782i | −0.121958 | + | 0.211238i | ||||
\(630\) | 25.5058 | − | 3.80338i | 1.01618 | − | 0.151530i | ||||
\(631\) | −7.91347 | − | 13.7065i | −0.315030 | − | 0.545648i | 0.664414 | − | 0.747365i | \(-0.268681\pi\) |
−0.979444 | + | 0.201717i | \(0.935348\pi\) | |||||||
\(632\) | 0.107174 | − | 0.607812i | 0.00426314 | − | 0.0241775i | ||||
\(633\) | 13.6901 | − | 17.5768i | 0.544131 | − | 0.698614i | ||||
\(634\) | 7.66904 | + | 2.79130i | 0.304577 | + | 0.110857i | ||||
\(635\) | −52.1270 | + | 43.7397i | −2.06860 | + | 1.73576i | ||||
\(636\) | 5.39343 | + | 13.2918i | 0.213863 | + | 0.527053i | ||||
\(637\) | 2.60119 | − | 6.64392i | 0.103063 | − | 0.263242i | ||||
\(638\) | 6.65698 | + | 11.5302i | 0.263552 | + | 0.456486i | ||||
\(639\) | 22.9767 | + | 16.5885i | 0.908945 | + | 0.656230i | ||||
\(640\) | 5.58549 | + | 9.67436i | 0.220786 | + | 0.382413i | ||||
\(641\) | −5.36237 | + | 30.4115i | −0.211801 | + | 1.20118i | 0.674571 | + | 0.738210i | \(0.264329\pi\) |
−0.886372 | + | 0.462974i | \(0.846782\pi\) | |||||||
\(642\) | 9.73503 | + | 5.15749i | 0.384211 | + | 0.203550i | ||||
\(643\) | 0.978642 | − | 0.821178i | 0.0385939 | − | 0.0323841i | −0.623287 | − | 0.781993i | \(-0.714203\pi\) |
0.661881 | + | 0.749609i | \(0.269759\pi\) | |||||||
\(644\) | 8.75357 | + | 12.8277i | 0.344939 | + | 0.505482i | ||||
\(645\) | −10.7620 | − | 11.9164i | −0.423754 | − | 0.469209i | ||||
\(646\) | −1.32447 | + | 0.482067i | −0.0521105 | + | 0.0189667i | ||||
\(647\) | −17.0297 | + | 29.4963i | −0.669507 | + | 1.15962i | 0.308535 | + | 0.951213i | \(0.400161\pi\) |
−0.978042 | + | 0.208408i | \(0.933172\pi\) | |||||||
\(648\) | −8.46375 | − | 25.5266i | −0.332487 | − | 1.00278i | ||||
\(649\) | −16.6566 | − | 28.8500i | −0.653828 | − | 1.13246i | ||||
\(650\) | −1.01520 | + | 5.75747i | −0.0398193 | + | 0.225827i | ||||
\(651\) | −38.0943 | + | 28.0808i | −1.49303 | + | 1.10057i | ||||
\(652\) | −18.9936 | − | 6.91312i | −0.743848 | − | 0.270739i | ||||
\(653\) | 32.9788 | + | 12.0033i | 1.29056 | + | 0.469725i | 0.893911 | − | 0.448245i | \(-0.147951\pi\) |
0.396649 | + | 0.917971i | \(0.370173\pi\) | |||||||
\(654\) | −0.120092 | − | 3.29718i | −0.00469596 | − | 0.128930i | ||||
\(655\) | −6.06816 | + | 34.4142i | −0.237103 | + | 1.34468i | ||||
\(656\) | −4.48721 | −0.175196 | ||||||||
\(657\) | −27.0658 | − | 19.5407i | −1.05594 | − | 0.762355i | ||||
\(658\) | 1.05145 | + | 0.755282i | 0.0409899 | + | 0.0294440i | ||||
\(659\) | −21.1607 | − | 17.7559i | −0.824304 | − | 0.691673i | 0.129672 | − | 0.991557i | \(-0.458608\pi\) |
−0.953976 | + | 0.299884i | \(0.903052\pi\) | |||||||
\(660\) | −12.3328 | + | 15.8342i | −0.480055 | + | 0.616346i | ||||
\(661\) | −14.1428 | − | 5.14758i | −0.550093 | − | 0.200217i | 0.0519948 | − | 0.998647i | \(-0.483442\pi\) |
−0.602088 | + | 0.798430i | \(0.705664\pi\) | |||||||
\(662\) | −0.636263 | − | 0.231581i | −0.0247291 | − | 0.00900065i | ||||
\(663\) | −0.445482 | − | 1.09786i | −0.0173011 | − | 0.0426375i | ||||
\(664\) | −31.3725 | − | 26.3247i | −1.21749 | − | 1.02159i | ||||
\(665\) | 15.0050 | + | 10.7785i | 0.581871 | + | 0.417971i | ||||
\(666\) | 6.61836 | + | 26.2096i | 0.256456 | + | 1.01560i | ||||
\(667\) | −22.4233 | −0.868234 | ||||||||
\(668\) | 0.528793 | − | 2.99894i | 0.0204596 | − | 0.116032i | ||||
\(669\) | 13.8617 | − | 8.69071i | 0.535926 | − | 0.336002i | ||||
\(670\) | −29.7522 | − | 10.8289i | −1.14943 | − | 0.418358i | ||||
\(671\) | 28.3746 | + | 10.3275i | 1.09539 | + | 0.398689i | ||||
\(672\) | −2.59232 | − | 23.1277i | −0.100001 | − | 0.892172i | ||||
\(673\) | 0.00646443 | − | 0.0366616i | 0.000249185 | − | 0.00141320i | −0.984683 | − | 0.174355i | \(-0.944216\pi\) |
0.984932 | + | 0.172942i | \(0.0553272\pi\) | |||||||
\(674\) | 4.35086 | + | 7.53592i | 0.167589 | + | 0.290273i | ||||
\(675\) | −30.0853 | − | 1.96777i | −1.15798 | − | 0.0757396i | ||||
\(676\) | −6.11702 | + | 10.5950i | −0.235270 | + | 0.407500i | ||||
\(677\) | −41.0269 | + | 14.9326i | −1.57679 | + | 0.573906i | −0.974504 | − | 0.224372i | \(-0.927967\pi\) |
−0.602289 | + | 0.798278i | \(0.705745\pi\) | |||||||
\(678\) | −8.41338 | + | 26.0265i | −0.323114 | + | 0.999541i | ||||
\(679\) | 1.12348 | + | 1.64638i | 0.0431153 | + | 0.0631822i | ||||
\(680\) | 5.04896 | − | 4.23658i | 0.193619 | − | 0.162465i | ||||
\(681\) | −30.8069 | + | 19.3146i | −1.18052 | + | 0.740137i | ||||
\(682\) | −6.11055 | + | 34.6546i | −0.233985 | + | 1.32699i | ||||
\(683\) | 18.1682 | + | 31.4683i | 0.695188 | + | 1.20410i | 0.970117 | + | 0.242636i | \(0.0780121\pi\) |
−0.274930 | + | 0.961464i | \(0.588655\pi\) | |||||||
\(684\) | 2.84027 | − | 5.86804i | 0.108601 | − | 0.224370i | ||||
\(685\) | −5.37587 | − | 9.31128i | −0.205401 | − | 0.355766i | ||||
\(686\) | −16.3019 | − | 8.33189i | −0.622409 | − | 0.318113i | ||||
\(687\) | −15.0644 | + | 19.3413i | −0.574744 | + | 0.737918i | ||||
\(688\) | 1.96233 | − | 1.64659i | 0.0748131 | − | 0.0627757i | ||||
\(689\) | 7.75533 | + | 2.82271i | 0.295455 | + | 0.107537i | ||||
\(690\) | 12.1424 | + | 29.9243i | 0.462255 | + | 1.13920i | ||||
\(691\) | −2.27489 | + | 12.9016i | −0.0865411 | + | 0.490799i | 0.910472 | + | 0.413570i | \(0.135718\pi\) |
−0.997013 | + | 0.0772288i | \(0.975393\pi\) | |||||||
\(692\) | −2.82293 | − | 4.88946i | −0.107312 | − | 0.185869i | ||||
\(693\) | 24.0482 | − | 13.0470i | 0.913516 | − | 0.495614i | ||||
\(694\) | −1.63263 | + | 2.82781i | −0.0619740 | + | 0.107342i | ||||
\(695\) | 36.7649 | + | 30.8494i | 1.39457 | + | 1.17019i | ||||
\(696\) | 17.8700 | + | 9.46728i | 0.677360 | + | 0.358856i | ||||
\(697\) | −0.575786 | − | 3.26545i | −0.0218095 | − | 0.123688i | ||||
\(698\) | −3.85601 | − | 21.8685i | −0.145952 | − | 0.827735i | ||||
\(699\) | −5.48474 | + | 16.9668i | −0.207452 | + | 0.641745i | ||||
\(700\) | −15.1167 | − | 4.24640i | −0.571356 | − | 0.160499i | ||||
\(701\) | 28.0556 | 1.05965 | 0.529823 | − | 0.848108i | \(-0.322258\pi\) | ||||
0.529823 | + | 0.848108i | \(0.322258\pi\) | |||||||
\(702\) | −4.79246 | − | 2.10795i | −0.180880 | − | 0.0795595i | ||||
\(703\) | −9.68330 | + | 16.7720i | −0.365213 | + | 0.632567i | ||||
\(704\) | −18.0522 | − | 15.1476i | −0.680368 | − | 0.570897i | ||||
\(705\) | −1.88866 | − | 2.09125i | −0.0711310 | − | 0.0787611i | ||||
\(706\) | 4.19288 | + | 1.52608i | 0.157801 | + | 0.0574349i | ||||
\(707\) | −6.69135 | + | 13.9095i | −0.251654 | + | 0.523120i | ||||
\(708\) | −15.1293 | − | 8.01533i | −0.568595 | − | 0.301234i | ||||
\(709\) | −6.10789 | − | 5.12513i | −0.229387 | − | 0.192478i | 0.520849 | − | 0.853649i | \(-0.325615\pi\) |
−0.750236 | + | 0.661171i | \(0.770060\pi\) | |||||||
\(710\) | 15.3455 | + | 26.5791i | 0.575905 | + | 0.997497i | ||||
\(711\) | 0.444439 | − | 0.431774i | 0.0166678 | − | 0.0161928i | ||||
\(712\) | 17.9162 | − | 31.0318i | 0.671439 | − | 1.16297i | ||||
\(713\) | −45.4001 | − | 38.0952i | −1.70025 | − | 1.42668i | ||||
\(714\) | −2.91647 | + | 0.858112i | −0.109146 | + | 0.0321140i | ||||
\(715\) | 2.00521 | + | 11.3721i | 0.0749906 | + | 0.425293i | ||||
\(716\) | 4.62478 | − | 3.88065i | 0.172836 | − | 0.145027i | ||||
\(717\) | −51.7244 | − | 7.19030i | −1.93168 | − | 0.268527i | ||||
\(718\) | 17.7472 | − | 6.45944i | 0.662319 | − | 0.241064i | ||||
\(719\) | −2.30942 | + | 4.00003i | −0.0861269 | + | 0.149176i | −0.905871 | − | 0.423554i | \(-0.860782\pi\) |
0.819744 | + | 0.572730i | \(0.194116\pi\) | |||||||
\(720\) | 0.909311 | − | 8.90851i | 0.0338880 | − | 0.332001i | ||||
\(721\) | −22.4059 | − | 16.0947i | −0.834439 | − | 0.599396i | ||||
\(722\) | 13.4562 | − | 4.89766i | 0.500788 | − | 0.182272i | ||||
\(723\) | −6.11117 | − | 3.23762i | −0.227277 | − | 0.120408i | ||||
\(724\) | −1.00555 | − | 5.70273i | −0.0373708 | − | 0.211940i | ||||
\(725\) | 17.3675 | − | 14.5730i | 0.645011 | − | 0.541229i | ||||
\(726\) | 0.464286 | − | 1.43625i | 0.0172313 | − | 0.0533043i | ||||
\(727\) | −6.05182 | + | 34.3216i | −0.224450 | + | 1.27292i | 0.639285 | + | 0.768970i | \(0.279230\pi\) |
−0.863735 | + | 0.503947i | \(0.831881\pi\) | |||||||
\(728\) | −6.54478 | − | 4.70126i | −0.242566 | − | 0.174240i | ||||
\(729\) | 8.11203 | − | 25.7526i | 0.300446 | − | 0.953799i | ||||
\(730\) | −18.0765 | − | 31.3093i | −0.669040 | − | 1.15881i | ||||
\(731\) | 1.45006 | + | 1.21675i | 0.0536325 | + | 0.0450030i | ||||
\(732\) | 15.1751 | − | 3.24937i | 0.560889 | − | 0.120100i | ||||
\(733\) | 1.50548 | + | 8.53800i | 0.0556062 | + | 0.315358i | 0.999906 | − | 0.0137288i | \(-0.00437014\pi\) |
−0.944300 | + | 0.329087i | \(0.893259\pi\) | |||||||
\(734\) | −4.06846 | + | 3.41384i | −0.150170 | + | 0.126007i | ||||
\(735\) | 30.8388 | + | 25.2369i | 1.13751 | + | 0.930877i | ||||
\(736\) | 27.3865 | − | 9.96789i | 1.00948 | − | 0.367421i | ||||
\(737\) | −33.5913 | −1.23735 | ||||||||
\(738\) | −11.8798 | − | 8.57686i | −0.437302 | − | 0.315718i | ||||
\(739\) | 24.9119 | 0.916399 | 0.458200 | − | 0.888849i | \(-0.348495\pi\) | ||||
0.458200 | + | 0.888849i | \(0.348495\pi\) | |||||||
\(740\) | 5.32113 | − | 30.1776i | 0.195609 | − | 1.10935i | ||||
\(741\) | −1.41032 | − | 3.47565i | −0.0518094 | − | 0.127681i | ||||
\(742\) | 9.18026 | − | 19.0832i | 0.337018 | − | 0.700568i | ||||
\(743\) | 4.31621 | + | 24.4785i | 0.158347 | + | 0.898028i | 0.955662 | + | 0.294465i | \(0.0951415\pi\) |
−0.797316 | + | 0.603562i | \(0.793747\pi\) | |||||||
\(744\) | 20.0969 | + | 49.5277i | 0.736790 | + | 1.81577i | ||||
\(745\) | −3.79700 | + | 1.38200i | −0.139111 | + | 0.0506324i | ||||
\(746\) | −36.8408 | −1.34884 | ||||||||
\(747\) | −10.0666 | − | 39.8652i | −0.368319 | − | 1.45859i | ||||
\(748\) | 1.18304 | − | 2.04908i | 0.0432561 | − | 0.0749218i | ||||
\(749\) | 4.20761 | + | 16.4957i | 0.153743 | + | 0.602740i | ||||
\(750\) | −3.98947 | − | 2.11357i | −0.145675 | − | 0.0771767i | ||||
\(751\) | 1.20024 | + | 0.436851i | 0.0437974 | + | 0.0159409i | 0.363826 | − | 0.931467i | \(-0.381470\pi\) |
−0.320029 | + | 0.947408i | \(0.603693\pi\) | |||||||
\(752\) | 0.344376 | − | 0.288965i | 0.0125581 | − | 0.0105375i | ||||
\(753\) | −9.35818 | + | 28.9492i | −0.341031 | + | 1.05497i | ||||
\(754\) | 3.69956 | − | 1.34653i | 0.134730 | − | 0.0490378i | ||||
\(755\) | 15.7670 | 0.573822 | ||||||||
\(756\) | 6.90983 | − | 12.2466i | 0.251308 | − | 0.445405i | ||||
\(757\) | 27.7454 | 1.00843 | 0.504213 | − | 0.863580i | \(-0.331783\pi\) | ||||
0.504213 | + | 0.863580i | \(0.331783\pi\) | |||||||
\(758\) | 33.2887 | − | 12.1161i | 1.20910 | − | 0.440077i | ||||
\(759\) | 22.9640 | + | 25.4273i | 0.833541 | + | 0.922953i | ||||
\(760\) | 15.9841 | − | 13.4123i | 0.579806 | − | 0.486515i | ||||
\(761\) | −34.4957 | − | 12.5554i | −1.25047 | − | 0.455133i | −0.369908 | − | 0.929069i | \(-0.620611\pi\) |
−0.880559 | + | 0.473936i | \(0.842833\pi\) | |||||||
\(762\) | −1.29027 | − | 35.4250i | −0.0467416 | − | 1.28331i | ||||
\(763\) | 3.64828 | − | 3.56139i | 0.132077 | − | 0.128931i | ||||
\(764\) | 2.20342 | − | 3.81643i | 0.0797169 | − | 0.138074i | ||||
\(765\) | 6.59960 | − | 0.481388i | 0.238609 | − | 0.0174046i | ||||
\(766\) | −5.21720 | −0.188505 | ||||||||
\(767\) | −9.25676 | + | 3.36918i | −0.334242 | + | 0.121654i | ||||
\(768\) | −29.2211 | − | 4.06207i | −1.05442 | − | 0.146577i | ||||
\(769\) | 5.19872 | + | 29.4834i | 0.187471 | + | 1.06320i | 0.922740 | + | 0.385423i | \(0.125945\pi\) |
−0.735269 | + | 0.677775i | \(0.762944\pi\) | |||||||
\(770\) | 29.5462 | − | 2.22650i | 1.06477 | − | 0.0802376i | ||||
\(771\) | 1.25908 | − | 1.61654i | 0.0453445 | − | 0.0582181i | ||||
\(772\) | 3.50530 | − | 19.8796i | 0.126159 | − | 0.715481i | ||||
\(773\) | 25.2716 | 0.908956 | 0.454478 | − | 0.890758i | \(-0.349826\pi\) | ||||
0.454478 | + | 0.890758i | \(0.349826\pi\) | |||||||
\(774\) | 8.34252 | − | 0.608519i | 0.299866 | − | 0.0218728i | ||||
\(775\) | 59.9218 | 2.15246 | ||||||||
\(776\) | 2.11535 | − | 0.769926i | 0.0759368 | − | 0.0276387i | ||||
\(777\) | −23.1190 | + | 34.7909i | −0.829391 | + | 1.24812i | ||||
\(778\) | −0.0709054 | + | 0.0594967i | −0.00254208 | + | 0.00213306i | ||||
\(779\) | −1.82284 | − | 10.3378i | −0.0653100 | − | 0.370392i | ||||
\(780\) | 3.97783 | + | 4.40453i | 0.142429 | + | 0.157707i | ||||
\(781\) | 24.9435 | + | 20.9300i | 0.892547 | + | 0.748936i | ||||
\(782\) | −1.90355 | − | 3.29704i | −0.0680708 | − | 0.117902i | ||||
\(783\) | 8.98237 | + | 18.2082i | 0.321004 | + | 0.650708i | ||||
\(784\) | −4.20260 | + | 4.77009i | −0.150093 | + | 0.170360i | ||||
\(785\) | 1.24560 | − | 7.06416i | 0.0444574 | − | 0.252131i | ||||
\(786\) | −12.2014 | − | 13.5102i | −0.435209 | − | 0.481894i | ||||
\(787\) | −27.3199 | + | 22.9241i | −0.973848 | + | 0.817155i | −0.983150 | − | 0.182802i | \(-0.941483\pi\) |
0.00930231 | + | 0.999957i | \(0.497039\pi\) | |||||||
\(788\) | −2.19441 | − | 12.4451i | −0.0781725 | − | 0.443338i | ||||
\(789\) | 0.635395 | + | 17.4451i | 0.0226207 | + | 0.621062i | ||||
\(790\) | 0.630593 | − | 0.229517i | 0.0224355 | − | 0.00816585i | ||||
\(791\) | −38.5192 | + | 17.3998i | −1.36959 | + | 0.618665i | ||||
\(792\) | −7.56528 | − | 29.9595i | −0.268821 | − | 1.06457i | ||||
\(793\) | 4.46448 | − | 7.73270i | 0.158538 | − | 0.274596i | ||||
\(794\) | −2.03239 | + | 0.739730i | −0.0721269 | + | 0.0262520i | ||||
\(795\) | −28.3234 | + | 36.3646i | −1.00453 | + | 1.28972i | ||||
\(796\) | −20.8381 | + | 17.4852i | −0.738587 | + | 0.619748i | ||||
\(797\) | −9.36603 | − | 53.1174i | −0.331762 | − | 1.88152i | −0.457122 | − | 0.889404i | \(-0.651120\pi\) |
0.125360 | − | 0.992111i | \(-0.459991\pi\) | |||||||
\(798\) | −9.23306 | + | 2.71663i | −0.326847 | + | 0.0961678i | ||||
\(799\) | 0.254476 | + | 0.213531i | 0.00900271 | + | 0.00755417i | ||||
\(800\) | −14.7334 | + | 25.5191i | −0.520906 | + | 0.902235i | ||||
\(801\) | 32.8206 | − | 14.7308i | 1.15966 | − | 0.520487i | ||||
\(802\) | 0.168269 | + | 0.291451i | 0.00594180 | + | 0.0102915i | ||||
\(803\) | −29.3826 | − | 24.6549i | −1.03689 | − | 0.870053i | ||||
\(804\) | −14.6273 | + | 9.17066i | −0.515864 | + | 0.323424i | ||||
\(805\) | −21.6333 | + | 44.9697i | −0.762473 | + | 1.58497i | ||||
\(806\) | 9.77807 | + | 3.55893i | 0.344418 | + | 0.125358i | ||||
\(807\) | 5.24169 | − | 16.2150i | 0.184516 | − | 0.570795i | ||||
\(808\) | 13.3542 | + | 11.2055i | 0.469800 | + | 0.394209i | ||||
\(809\) | −11.1820 | + | 19.3678i | −0.393138 | + | 0.680935i | −0.992862 | − | 0.119272i | \(-0.961944\pi\) |
0.599723 | + | 0.800207i | \(0.295277\pi\) | |||||||
\(810\) | 19.4351 | − | 21.8470i | 0.682880 | − | 0.767627i | ||||
\(811\) | 1.68477 | 0.0591603 | 0.0295801 | − | 0.999562i | \(-0.490583\pi\) | ||||
0.0295801 | + | 0.999562i | \(0.490583\pi\) | |||||||
\(812\) | 2.61342 | + | 10.2458i | 0.0917131 | + | 0.359556i | ||||
\(813\) | −13.9204 | − | 15.4136i | −0.488209 | − | 0.540578i | ||||
\(814\) | 5.39349 | + | 30.5880i | 0.189042 | + | 1.07211i | ||||
\(815\) | −11.2785 | − | 63.9634i | −0.395068 | − | 2.24054i | ||||
\(816\) | 0.0384247 | + | 1.05497i | 0.00134513 | + | 0.0369313i | ||||
\(817\) | 4.59064 | + | 3.85201i | 0.160606 | + | 0.134765i | ||||
\(818\) | 3.05044 | − | 5.28351i | 0.106656 | − | 0.184734i | ||||
\(819\) | −2.56459 | − | 7.67306i | −0.0896142 | − | 0.268119i | ||||
\(820\) | 8.30478 | + | 14.3843i | 0.290016 | + | 0.502322i | ||||
\(821\) | 5.58672 | − | 31.6838i | 0.194978 | − | 1.10577i | −0.717473 | − | 0.696587i | \(-0.754701\pi\) |
0.912450 | − | 0.409187i | \(-0.134188\pi\) | |||||||
\(822\) | 5.54769 | + | 0.771194i | 0.193498 | + | 0.0268985i | ||||
\(823\) | 33.2243 | + | 12.0927i | 1.15813 | + | 0.421523i | 0.848428 | − | 0.529311i | \(-0.177550\pi\) |
0.309699 | + | 0.950835i | \(0.399772\pi\) | |||||||
\(824\) | −23.8679 | + | 20.0276i | −0.831478 | + | 0.697693i | ||||
\(825\) | −34.3116 | − | 4.76971i | −1.19458 | − | 0.166060i | ||||
\(826\) | 6.24728 | + | 24.4921i | 0.217371 | + | 0.852190i | ||||
\(827\) | 13.4267 | + | 23.2557i | 0.466891 | + | 0.808680i | 0.999285 | − | 0.0378175i | \(-0.0120406\pi\) |
−0.532393 | + | 0.846497i | \(0.678707\pi\) | |||||||
\(828\) | 16.9415 | + | 4.80294i | 0.588757 | + | 0.166914i | ||||
\(829\) | −5.28060 | − | 9.14627i | −0.183403 | − | 0.317663i | 0.759634 | − | 0.650350i | \(-0.225378\pi\) |
−0.943037 | + | 0.332687i | \(0.892045\pi\) | |||||||
\(830\) | 7.73233 | − | 43.8522i | 0.268393 | − | 1.52213i | ||||
\(831\) | 0.802325 | + | 22.0282i | 0.0278323 | + | 0.764151i | ||||
\(832\) | −5.33811 | + | 4.47921i | −0.185066 | + | 0.155289i | ||||
\(833\) | −4.01057 | − | 2.44624i | −0.138958 | − | 0.0847572i | ||||
\(834\) | −24.4475 | + | 5.23482i | −0.846548 | + | 0.181267i | ||||
\(835\) | 9.19516 | − | 3.34676i | 0.318212 | − | 0.115820i | ||||
\(836\) | 3.74529 | − | 6.48703i | 0.129534 | − | 0.224359i | ||||
\(837\) | −12.7476 | + | 52.1260i | −0.440622 | + | 1.80174i | ||||
\(838\) | 2.08686 | + | 3.61455i | 0.0720894 | + | 0.124863i | ||||
\(839\) | −2.05067 | + | 11.6299i | −0.0707970 | + | 0.401510i | 0.928730 | + | 0.370757i | \(0.120902\pi\) |
−0.999527 | + | 0.0307530i | \(0.990209\pi\) | |||||||
\(840\) | 36.2269 | − | 26.7043i | 1.24995 | − | 0.921386i | ||||
\(841\) | 12.9044 | + | 4.69681i | 0.444979 | + | 0.161959i | ||||
\(842\) | −12.0753 | − | 4.39504i | −0.416142 | − | 0.151463i | ||||
\(843\) | 36.2748 | + | 19.2179i | 1.24937 | + | 0.661900i | ||||
\(844\) | 2.28459 | − | 12.9566i | 0.0786389 | − | 0.445983i | ||||
\(845\) | −39.3122 | −1.35238 | ||||||||
\(846\) | 1.46406 | − | 0.106791i | 0.0503353 | − | 0.00367155i | ||||
\(847\) | 2.12566 | − | 0.960193i | 0.0730384 | − | 0.0329926i | ||||
\(848\) | −5.63314 | − | 4.72676i | −0.193443 | − | 0.162318i | ||||
\(849\) | 4.41156 | + | 0.613258i | 0.151404 | + | 0.0210470i | ||||
\(850\) | 3.61712 | + | 1.31652i | 0.124066 | + | 0.0451564i | ||||
\(851\) | −49.1561 | − | 17.8914i | −1.68505 | − | 0.613308i | ||||
\(852\) | 16.5756 | + | 2.30421i | 0.567872 | + | 0.0789408i | ||||
\(853\) | 20.3608 | + | 17.0848i | 0.697142 | + | 0.584971i | 0.920959 | − | 0.389660i | \(-0.127407\pi\) |
−0.223817 | + | 0.974631i | \(0.571852\pi\) | |||||||
\(854\) | −18.6078 | − | 13.3664i | −0.636745 | − | 0.457388i | ||||
\(855\) | 20.8932 | − | 1.52399i | 0.714532 | − | 0.0521194i | ||||
\(856\) | 19.2269 | 0.657161 | ||||||||
\(857\) | 0.0666804 | − | 0.378164i | 0.00227776 | − | 0.0129178i | −0.983648 | − | 0.180103i | \(-0.942357\pi\) |
0.985925 | + | 0.167186i | \(0.0534679\pi\) | |||||||
\(858\) | −5.31569 | − | 2.81619i | −0.181475 | − | 0.0961430i | ||||
\(859\) | 21.6189 | + | 7.86864i | 0.737628 | + | 0.268475i | 0.683390 | − | 0.730054i | \(-0.260505\pi\) |
0.0542377 | + | 0.998528i | \(0.482727\pi\) | |||||||
\(860\) | −8.91016 | − | 3.24303i | −0.303834 | − | 0.110586i | ||||
\(861\) | −2.52205 | − | 22.5008i | −0.0859512 | − | 0.766827i | ||||
\(862\) | 2.29155 | − | 12.9960i | 0.0780504 | − | 0.442646i | ||||
\(863\) | −4.64080 | − | 8.03809i | −0.157975 | − | 0.273620i | 0.776164 | − | 0.630532i | \(-0.217163\pi\) |
−0.934138 | + | 0.356912i | \(0.883830\pi\) | |||||||
\(864\) | −19.0647 | − | 18.2455i | −0.648593 | − | 0.620724i | ||||
\(865\) | 9.07105 | − | 15.7115i | 0.308425 | − | 0.534208i | ||||
\(866\) | −19.0762 | + | 6.94317i | −0.648235 | + | 0.235938i | ||||
\(867\) | 28.0294 | − | 6.00179i | 0.951929 | − | 0.203831i | ||||
\(868\) | −12.1153 | + | 25.1844i | −0.411220 | + | 0.854814i | ||||
\(869\) | 0.545393 | − | 0.457639i | 0.0185012 | − | 0.0155244i | ||||
\(870\) | 0.800334 | + | 21.9736i | 0.0271339 | + | 0.744974i | ||||
\(871\) | −1.72486 | + | 9.78217i | −0.0584447 | + | 0.331456i | ||||
\(872\) | −2.87907 | − | 4.98669i | −0.0974976 | − | 0.168871i | ||||
\(873\) | 2.17436 | + | 0.616436i | 0.0735910 | + | 0.0208632i | ||||
\(874\) | −6.02631 | − | 10.4379i | −0.203843 | − | 0.353066i | ||||
\(875\) | −1.72430 | − | 6.76003i | −0.0582920 | − | 0.228531i | ||||
\(876\) | −19.5256 | − | 2.71428i | −0.659707 | − | 0.0917070i | ||||
\(877\) | −26.0131 | + | 21.8276i | −0.878401 | + | 0.737066i | −0.965850 | − | 0.259103i | \(-0.916573\pi\) |
0.0874490 | + | 0.996169i | \(0.472129\pi\) | |||||||
\(878\) | 24.6419 | + | 8.96892i | 0.831624 | + | 0.302686i | ||||
\(879\) | −12.2080 | − | 1.69706i | −0.411767 | − | 0.0572404i | ||||
\(880\) | 1.78666 | − | 10.1327i | 0.0602283 | − | 0.341572i | ||||
\(881\) | 21.0963 | + | 36.5398i | 0.710752 | + | 1.23106i | 0.964575 | + | 0.263807i | \(0.0849783\pi\) |
−0.253824 | + | 0.967250i | \(0.581688\pi\) | |||||||
\(882\) | −20.2438 | + | 4.59588i | −0.681646 | + | 0.154751i | ||||
\(883\) | −13.5520 | + | 23.4728i | −0.456062 | + | 0.789923i | −0.998749 | − | 0.0500123i | \(-0.984074\pi\) |
0.542686 | + | 0.839936i | \(0.317407\pi\) | |||||||
\(884\) | −0.535969 | − | 0.449731i | −0.0180266 | − | 0.0151261i | ||||
\(885\) | −2.00253 | − | 54.9805i | −0.0673144 | − | 1.84815i | ||||
\(886\) | −1.62408 | − | 9.21061i | −0.0545620 | − | 0.309436i | ||||
\(887\) | −8.08948 | − | 45.8777i | −0.271618 | − | 1.54042i | −0.749503 | − | 0.662001i | \(-0.769707\pi\) |
0.477885 | − | 0.878423i | \(-0.341404\pi\) | |||||||
\(888\) | 31.6205 | + | 35.0124i | 1.06111 | + | 1.17494i | ||||
\(889\) | 39.1973 | − | 38.2637i | 1.31464 | − | 1.28332i | ||||
\(890\) | 38.9602 | 1.30595 | ||||||||
\(891\) | 11.4485 | − | 28.8330i | 0.383540 | − | 0.965941i | ||||
\(892\) | 4.83075 | − | 8.36711i | 0.161746 | − | 0.280151i | ||||
\(893\) | 0.805627 | + | 0.676001i | 0.0269593 | + | 0.0226215i | ||||
\(894\) | 0.647466 | − | 2.00291i | 0.0216545 | − | 0.0669874i | ||||
\(895\) | 18.2298 | + | 6.63509i | 0.609354 | + | 0.221787i | ||||
\(896\) | −5.06876 | − | 7.42789i | −0.169335 | − | 0.248148i | ||||
\(897\) | 8.58390 | − | 5.38173i | 0.286608 | − | 0.179691i | ||||
\(898\) | 4.90720 | + | 4.11763i | 0.163755 | + | 0.137407i | ||||
\(899\) | −20.1762 | − | 34.9462i | −0.672914 | − | 1.16552i | ||||
\(900\) | −16.2431 | + | 7.29035i | −0.541436 | + | 0.243012i | ||||
\(901\) | 2.71694 | − | 4.70588i | 0.0905145 | − | 0.156776i | ||||
\(902\) | −12.8967 | − | 10.8216i | −0.429413 | − | 0.360320i | ||||
\(903\) | 9.35965 | + | 8.91451i | 0.311470 | + | 0.296656i | ||||
\(904\) | 8.28934 | + | 47.0112i | 0.275699 | + | 1.56357i | ||||
\(905\) | 14.2542 | − | 11.9607i | 0.473826 | − | 0.397587i | ||||
\(906\) | −5.04716 | + | 6.48008i | −0.167681 | + | 0.215286i | ||||
\(907\) | −35.5630 | + | 12.9439i | −1.18085 | + | 0.429795i | −0.856503 | − | 0.516143i | \(-0.827367\pi\) |
−0.324349 | + | 0.945938i | \(0.605145\pi\) | |||||||
\(908\) | −10.7361 | + | 18.5954i | −0.356289 | + | 0.617110i | ||||
\(909\) | 4.28503 | + | 16.9693i | 0.142126 | + | 0.562836i | ||||
\(910\) | 0.868768 | − | 8.71852i | 0.0287994 | − | 0.289016i | ||||
\(911\) | 23.3109 | − | 8.48446i | 0.772323 | − | 0.281103i | 0.0743555 | − | 0.997232i | \(-0.476310\pi\) |
0.697968 | + | 0.716129i | \(0.254088\pi\) | |||||||
\(912\) | 0.121646 | + | 3.33985i | 0.00402810 | + | 0.110594i | ||||
\(913\) | −8.20358 | − | 46.5248i | −0.271499 | − | 1.53975i | ||||
\(914\) | 21.0598 | − | 17.6712i | 0.696595 | − | 0.584513i | ||||
\(915\) | 33.4240 | + | 37.0093i | 1.10496 | + | 1.22349i | ||||
\(916\) | −2.51395 | + | 14.2573i | −0.0830631 | + | 0.471074i | ||||
\(917\) | 2.78929 | − | 27.9919i | 0.0921104 | − | 0.924374i | ||||
\(918\) | −1.91474 | + | 2.86646i | −0.0631958 | + | 0.0946072i | ||||
\(919\) | −3.64579 | − | 6.31469i | −0.120263 | − | 0.208302i | 0.799608 | − | 0.600522i | \(-0.205041\pi\) |
−0.919871 | + | 0.392220i | \(0.871707\pi\) | |||||||
\(920\) | 43.1745 | + | 36.2277i | 1.42342 | + | 1.19439i | ||||
\(921\) | −30.4443 | − | 33.7100i | −1.00317 | − | 1.11078i | ||||
\(922\) | −3.85846 | − | 21.8824i | −0.127072 | − | 0.720659i | ||||
\(923\) | 7.37588 | − | 6.18910i | 0.242780 | − | 0.203717i | ||||
\(924\) | 8.94194 | − | 13.4564i | 0.294168 | − | 0.442682i | ||||
\(925\) | 49.7004 | − | 18.0895i | 1.63414 | − | 0.594779i | ||||
\(926\) | −0.952309 | −0.0312948 | ||||||||
\(927\) | −31.1982 | + | 2.27566i | −1.02468 | + | 0.0747425i | ||||
\(928\) | 19.8435 | 0.651394 | ||||||||
\(929\) | −0.718866 | + | 4.07689i | −0.0235852 | + | 0.133759i | −0.994327 | − | 0.106368i | \(-0.966078\pi\) |
0.970742 | + | 0.240127i | \(0.0771889\pi\) | |||||||
\(930\) | −35.7107 | + | 45.8492i | −1.17100 | + | 1.50345i | ||||
\(931\) | −12.6968 | − | 7.74438i | −0.416120 | − | 0.253812i | ||||
\(932\) | 1.82849 | + | 10.3699i | 0.0598943 | + | 0.339677i | ||||
\(933\) | −16.2185 | − | 2.25456i | −0.530970 | − | 0.0738110i | ||||
\(934\) | −15.2858 | + | 5.56359i | −0.500168 | + | 0.182046i | ||||
\(935\) | 7.60302 | 0.248645 | ||||||||
\(936\) | −9.11303 | + | 0.664722i | −0.297869 | + | 0.0217271i | ||||
\(937\) | −14.3792 | + | 24.9055i | −0.469748 | + | 0.813627i | −0.999402 | − | 0.0345870i | \(-0.988988\pi\) |
0.529654 | + | 0.848214i | \(0.322322\pi\) | |||||||
\(938\) | 24.5376 | + | 6.89284i | 0.801182 | + | 0.225059i | ||||
\(939\) | −1.31505 | − | 36.1052i | −0.0429149 | − | 1.17825i | ||||
\(940\) | −1.56367 | − | 0.569130i | −0.0510014 | − | 0.0185630i | ||||
\(941\) | −40.2253 | + | 33.7530i | −1.31131 | + | 1.10032i | −0.323235 | + | 0.946319i | \(0.604770\pi\) |
−0.988071 | + | 0.153997i | \(0.950785\pi\) | |||||||
\(942\) | 2.50456 | + | 2.77322i | 0.0816030 | + | 0.0903564i | ||||
\(943\) | 26.6442 | − | 9.69770i | 0.867654 | − | 0.315800i | ||||
\(944\) | 8.77718 | 0.285673 | ||||||||
\(945\) | 45.1822 | − | 0.447367i | 1.46978 | − | 0.0145528i | ||||
\(946\) | 9.61093 | 0.312478 | ||||||||
\(947\) | −11.5642 | + | 4.20902i | −0.375786 | + | 0.136775i | −0.523006 | − | 0.852329i | \(-0.675190\pi\) |
0.147220 | + | 0.989104i | \(0.452967\pi\) | |||||||
\(948\) | 0.112552 | − | 0.348174i | 0.00365551 | − | 0.0113082i | ||||
\(949\) | −8.68855 | + | 7.29056i | −0.282042 | + | 0.236662i | ||||
\(950\) | 11.4512 | + | 4.16788i | 0.371525 | + | 0.135224i | ||||
\(951\) | 12.6360 | + | 6.69439i | 0.409751 | + | 0.217081i | ||||
\(952\) | −3.79661 | + | 3.70618i | −0.123049 | + | 0.120118i | ||||
\(953\) | 24.1041 | − | 41.7496i | 0.780810 | − | 1.35240i | −0.150661 | − | 0.988586i | \(-0.548140\pi\) |
0.931471 | − | 0.363817i | \(-0.118527\pi\) | |||||||
\(954\) | −5.87889 | − | 23.2812i | −0.190336 | − | 0.753756i | ||||
\(955\) | 14.1607 | 0.458229 | ||||||||
\(956\) | −28.9786 | + | 10.5473i | −0.937235 | + | 0.341126i | ||||
\(957\) | 8.77133 | + | 21.6164i | 0.283537 | + | 0.698759i | ||||
\(958\) | 1.50084 | + | 8.51168i | 0.0484899 | + | 0.275000i | ||||
\(959\) | 4.87853 | + | 7.14912i | 0.157536 | + | 0.230857i | ||||
\(960\) | −14.6333 | − | 36.0628i | −0.472287 | − | 1.16392i | ||||
\(961\) | 13.1369 | − | 74.5033i | 0.423773 | − | 2.40333i | ||||
\(962\) | 9.18453 | 0.296121 | ||||||||
\(963\) | 15.6506 | + | 11.2993i | 0.504334 | + | 0.364114i | ||||
\(964\) | −4.08398 | −0.131536 | ||||||||
\(965\) | 60.9535 | − | 22.1853i | 1.96216 | − | 0.714169i | ||||
\(966\) | −11.5570 | − | 23.2862i | −0.371842 | − | 0.749221i | ||||
\(967\) | −20.0152 | + | 16.7948i | −0.643646 | + | 0.540083i | −0.905136 | − | 0.425123i | \(-0.860231\pi\) |
0.261489 | + | 0.965206i | \(0.415786\pi\) | |||||||
\(968\) | −0.457441 | − | 2.59428i | −0.0147027 | − | 0.0833833i | ||||
\(969\) | −2.41488 | + | 0.517085i | −0.0775770 | + | 0.0166112i | ||||
\(970\) | 1.87498 | + | 1.57329i | 0.0602019 | + | 0.0505154i | ||||
\(971\) | 3.07654 | + | 5.32872i | 0.0987307 | + | 0.171007i | 0.911160 | − | 0.412054i | \(-0.135188\pi\) |
−0.812429 | + | 0.583060i | \(0.801855\pi\) | |||||||
\(972\) | −2.88636 | − | 15.6808i | −0.0925801 | − | 0.502962i | ||||
\(973\) | −31.3779 | − | 22.5394i | −1.00593 | − | 0.722580i | ||||
\(974\) | −5.00636 | + | 28.3925i | −0.160414 | + | 0.909753i | ||||
\(975\) | −3.15084 | + | 9.74702i | −0.100908 | + | 0.312154i | ||||
\(976\) | −6.09448 | + | 5.11388i | −0.195080 | + | 0.163691i | ||||
\(977\) | 5.54814 | + | 31.4651i | 0.177501 | + | 1.00666i | 0.935218 | + | 0.354073i | \(0.115204\pi\) |
−0.757717 | + | 0.652583i | \(0.773685\pi\) | |||||||
\(978\) | 29.8985 | + | 15.8399i | 0.956050 | + | 0.506503i | ||||
\(979\) | 38.8419 | − | 14.1373i | 1.24139 | − | 0.451829i | ||||
\(980\) | 23.0691 | + | 4.64361i | 0.736916 | + | 0.148335i | ||||
\(981\) | 0.587031 | − | 5.75113i | 0.0187425 | − | 0.183619i | ||||
\(982\) | −10.0154 | + | 17.3472i | −0.319604 | + | 0.553570i | ||||
\(983\) | 15.0250 | − | 5.46866i | 0.479224 | − | 0.174423i | −0.0911023 | − | 0.995842i | \(-0.529039\pi\) |
0.570326 | + | 0.821418i | \(0.306817\pi\) | |||||||
\(984\) | −25.3282 | − | 3.52091i | −0.807433 | − | 0.112243i | ||||
\(985\) | 31.1070 | − | 26.1019i | 0.991152 | − | 0.831675i | ||||
\(986\) | −0.450123 | − | 2.55277i | −0.0143348 | − | 0.0812969i | ||||
\(987\) | 1.64256 | + | 1.56443i | 0.0522831 | + | 0.0497965i | ||||
\(988\) | −1.69679 | − | 1.42377i | −0.0539819 | − | 0.0452962i | ||||
\(989\) | −8.09335 | + | 14.0181i | −0.257353 | + | 0.445749i | ||||
\(990\) | 24.0977 | − | 23.4110i | 0.765875 | − | 0.744049i | ||||
\(991\) | −24.1001 | − | 41.7427i | −0.765566 | − | 1.32600i | −0.939947 | − | 0.341321i | \(-0.889126\pi\) |
0.174381 | − | 0.984678i | \(-0.444208\pi\) | |||||||
\(992\) | 40.1767 | + | 33.7123i | 1.27561 | + | 1.07037i | ||||
\(993\) | −1.04835 | − | 0.555401i | −0.0332683 | − | 0.0176251i | ||||
\(994\) | −13.9258 | − | 20.4072i | −0.441700 | − | 0.647278i | ||||
\(995\) | −82.1387 | − | 29.8960i | −2.60397 | − | 0.947768i | ||||
\(996\) | −16.2738 | − | 18.0195i | −0.515656 | − | 0.570970i | ||||
\(997\) | −16.3867 | − | 13.7501i | −0.518973 | − | 0.435470i | 0.345301 | − | 0.938492i | \(-0.387777\pi\) |
−0.864274 | + | 0.503022i | \(0.832221\pi\) | |||||||
\(998\) | 1.12791 | − | 1.95359i | 0.0357033 | − | 0.0618399i | ||||
\(999\) | 5.16290 | + | 47.0827i | 0.163347 | + | 1.48963i |
(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 | 189.2.w.a.25.8 | yes | 132 | |
3.2 | odd | 2 | 567.2.w.a.235.15 | 132 | |||
7.2 | even | 3 | 189.2.u.a.79.15 | yes | 132 | ||
21.2 | odd | 6 | 567.2.u.a.478.8 | 132 | |||
27.13 | even | 9 | 189.2.u.a.67.15 | ✓ | 132 | ||
27.14 | odd | 18 | 567.2.u.a.172.8 | 132 | |||
189.121 | even | 9 | inner | 189.2.w.a.121.8 | yes | 132 | |
189.149 | odd | 18 | 567.2.w.a.415.15 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.u.a.67.15 | ✓ | 132 | 27.13 | even | 9 | ||
189.2.u.a.79.15 | yes | 132 | 7.2 | even | 3 | ||
189.2.w.a.25.8 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.w.a.121.8 | yes | 132 | 189.121 | even | 9 | inner | |
567.2.u.a.172.8 | 132 | 27.14 | odd | 18 | |||
567.2.u.a.478.8 | 132 | 21.2 | odd | 6 | |||
567.2.w.a.235.15 | 132 | 3.2 | odd | 2 | |||
567.2.w.a.415.15 | 132 | 189.149 | odd | 18 |