Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(7,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.l (of order \(44\), degree \(20\), 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: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 17.10 | ||
Character | \(\chi\) | \(=\) | 115.17 |
Dual form | 115.2.l.a.88.10 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.04194 | − | 0.761604i | 1.44387 | − | 0.538535i | 0.499178 | − | 0.866499i | \(-0.333635\pi\) |
0.944690 | + | 0.327964i | \(0.106363\pi\) | |||||||
\(3\) | −1.49195 | + | 0.814667i | −0.861378 | + | 0.470348i | −0.848269 | − | 0.529566i | \(-0.822355\pi\) |
−0.0131093 | + | 0.999914i | \(0.504173\pi\) | |||||||
\(4\) | 2.07797 | − | 1.80057i | 1.03899 | − | 0.900287i | ||||
\(5\) | 1.48286 | − | 1.67366i | 0.663154 | − | 0.748483i | ||||
\(6\) | −2.42602 | + | 2.79977i | −0.990418 | + | 1.14300i | ||||
\(7\) | 0.435377 | + | 0.581596i | 0.164557 | + | 0.219823i | 0.875239 | − | 0.483691i | \(-0.160704\pi\) |
−0.710682 | + | 0.703514i | \(0.751613\pi\) | |||||||
\(8\) | 0.782870 | − | 1.43372i | 0.276786 | − | 0.506896i | ||||
\(9\) | −0.0596878 | + | 0.0928760i | −0.0198959 | + | 0.0309587i | ||||
\(10\) | 1.75324 | − | 4.54686i | 0.554423 | − | 1.43784i | ||||
\(11\) | −2.27747 | + | 1.04009i | −0.686683 | + | 0.313598i | −0.728028 | − | 0.685547i | \(-0.759563\pi\) |
0.0413451 | + | 0.999145i | \(0.486836\pi\) | |||||||
\(12\) | −1.63337 | + | 4.37922i | −0.471512 | + | 1.26417i | ||||
\(13\) | −3.71639 | − | 2.78205i | −1.03074 | − | 0.771603i | −0.0567956 | − | 0.998386i | \(-0.518088\pi\) |
−0.973945 | + | 0.226783i | \(0.927179\pi\) | |||||||
\(14\) | 1.33196 | + | 0.855999i | 0.355981 | + | 0.228775i | ||||
\(15\) | −0.848876 | + | 3.70505i | −0.219179 | + | 0.956640i | ||||
\(16\) | −0.275958 | + | 1.91933i | −0.0689895 | + | 0.479832i | ||||
\(17\) | −0.0675456 | − | 0.944411i | −0.0163822 | − | 0.229053i | −0.999046 | − | 0.0436593i | \(-0.986098\pi\) |
0.982664 | − | 0.185394i | \(-0.0593561\pi\) | |||||||
\(18\) | −0.0511441 | + | 0.235105i | −0.0120548 | + | 0.0554149i | ||||
\(19\) | 3.28986 | + | 3.79670i | 0.754745 | + | 0.871022i | 0.995019 | − | 0.0996828i | \(-0.0317828\pi\) |
−0.240274 | + | 0.970705i | \(0.577237\pi\) | |||||||
\(20\) | 0.0677916 | − | 6.14781i | 0.0151587 | − | 1.37469i | ||||
\(21\) | −1.12337 | − | 0.513025i | −0.245139 | − | 0.111951i | ||||
\(22\) | −3.85832 | + | 3.85832i | −0.822597 | + | 0.822597i | ||||
\(23\) | −4.39351 | + | 1.92278i | −0.916110 | + | 0.400928i | ||||
\(24\) | 2.77682i | 0.566815i | ||||||||
\(25\) | −0.602267 | − | 4.96359i | −0.120453 | − | 0.992719i | ||||
\(26\) | −9.70746 | − | 2.85037i | −1.90379 | − | 0.559003i | ||||
\(27\) | 0.377193 | − | 5.27384i | 0.0725908 | − | 1.01495i | ||||
\(28\) | 1.95191 | + | 0.424612i | 0.368876 | + | 0.0802441i | ||||
\(29\) | −1.25041 | − | 1.08349i | −0.232195 | − | 0.201198i | 0.530990 | − | 0.847378i | \(-0.321820\pi\) |
−0.763185 | + | 0.646180i | \(0.776366\pi\) | |||||||
\(30\) | 1.08843 | + | 8.21199i | 0.198719 | + | 1.49930i | ||||
\(31\) | 8.01545 | − | 2.35355i | 1.43962 | − | 0.422710i | 0.533523 | − | 0.845785i | \(-0.320868\pi\) |
0.906094 | + | 0.423076i | \(0.139050\pi\) | |||||||
\(32\) | 1.59274 | + | 7.32173i | 0.281560 | + | 1.29431i | ||||
\(33\) | 2.55055 | − | 3.40713i | 0.443994 | − | 0.593106i | ||||
\(34\) | −0.857191 | − | 1.87699i | −0.147007 | − | 0.321900i | ||||
\(35\) | 1.61900 | + | 0.133751i | 0.273660 | + | 0.0226080i | ||||
\(36\) | 0.0432005 | + | 0.300466i | 0.00720008 | + | 0.0500777i | ||||
\(37\) | −1.27054 | + | 0.276390i | −0.208876 | + | 0.0454382i | −0.315786 | − | 0.948831i | \(-0.602268\pi\) |
0.106910 | + | 0.994269i | \(0.465904\pi\) | |||||||
\(38\) | 9.60927 | + | 5.24706i | 1.55883 | + | 0.851185i | ||||
\(39\) | 7.81112 | + | 1.12307i | 1.25078 | + | 0.179835i | ||||
\(40\) | −1.23867 | − | 3.43626i | −0.195851 | − | 0.543320i | ||||
\(41\) | 10.1659 | − | 6.53324i | 1.58765 | − | 1.02032i | 0.614859 | − | 0.788637i | \(-0.289213\pi\) |
0.972791 | − | 0.231684i | \(-0.0744236\pi\) | |||||||
\(42\) | −2.68457 | − | 0.192004i | −0.414238 | − | 0.0296269i | ||||
\(43\) | 1.40279 | + | 2.56902i | 0.213923 | + | 0.391772i | 0.962502 | − | 0.271275i | \(-0.0874451\pi\) |
−0.748579 | + | 0.663046i | \(0.769263\pi\) | |||||||
\(44\) | −2.85977 | + | 6.26202i | −0.431126 | + | 0.944035i | ||||
\(45\) | 0.0669343 | + | 0.237619i | 0.00997797 | + | 0.0354221i | ||||
\(46\) | −7.50687 | + | 7.27231i | −1.10683 | + | 1.07224i | ||||
\(47\) | −1.07853 | − | 1.07853i | −0.157319 | − | 0.157319i | 0.624058 | − | 0.781378i | \(-0.285483\pi\) |
−0.781378 | + | 0.624058i | \(0.785483\pi\) | |||||||
\(48\) | −1.15190 | − | 3.08836i | −0.166262 | − | 0.445766i | ||||
\(49\) | 1.82343 | − | 6.21002i | 0.260490 | − | 0.887146i | ||||
\(50\) | −5.01008 | − | 9.67667i | −0.708533 | − | 1.36849i | ||||
\(51\) | 0.870155 | + | 1.35399i | 0.121846 | + | 0.189596i | ||||
\(52\) | −12.7319 | + | 0.910600i | −1.76559 | + | 0.126277i | ||||
\(53\) | 0.463040 | − | 0.346627i | 0.0636034 | − | 0.0476129i | −0.567003 | − | 0.823716i | \(-0.691897\pi\) |
0.630606 | + | 0.776103i | \(0.282806\pi\) | |||||||
\(54\) | −3.24637 | − | 11.0561i | −0.441776 | − | 1.50455i | ||||
\(55\) | −1.63641 | + | 5.35401i | −0.220654 | + | 0.721934i | ||||
\(56\) | 1.17469 | − | 0.168895i | 0.156974 | − | 0.0225695i | ||||
\(57\) | −8.00135 | − | 2.98435i | −1.05980 | − | 0.395287i | ||||
\(58\) | −3.37845 | − | 1.26010i | −0.443612 | − | 0.165459i | ||||
\(59\) | −10.0883 | + | 1.45049i | −1.31339 | + | 0.188837i | −0.763179 | − | 0.646188i | \(-0.776362\pi\) |
−0.550212 | + | 0.835025i | \(0.685453\pi\) | |||||||
\(60\) | 4.90728 | + | 9.22746i | 0.633527 | + | 1.19126i | ||||
\(61\) | 2.68042 | + | 9.12869i | 0.343193 | + | 1.16881i | 0.932582 | + | 0.360959i | \(0.117551\pi\) |
−0.589389 | + | 0.807850i | \(0.700631\pi\) | |||||||
\(62\) | 14.5746 | − | 10.9104i | 1.85097 | − | 1.38562i | ||||
\(63\) | −0.0800030 | + | 0.00572193i | −0.0100794 | + | 0.000720896i | ||||
\(64\) | 6.73187 | + | 10.4750i | 0.841483 | + | 1.30937i | ||||
\(65\) | −10.1671 | + | 2.09458i | −1.26107 | + | 0.259800i | ||||
\(66\) | 2.61318 | − | 8.89967i | 0.321660 | − | 1.09547i | ||||
\(67\) | −2.66448 | − | 7.14375i | −0.325518 | − | 0.872747i | −0.991887 | − | 0.127125i | \(-0.959425\pi\) |
0.666369 | − | 0.745622i | \(-0.267848\pi\) | |||||||
\(68\) | −1.84084 | − | 1.84084i | −0.223235 | − | 0.223235i | ||||
\(69\) | 4.98847 | − | 6.44794i | 0.600541 | − | 0.776241i | ||||
\(70\) | 3.40776 | − | 0.959922i | 0.407305 | − | 0.114733i | ||||
\(71\) | −1.10186 | + | 2.41274i | −0.130767 | + | 0.286340i | −0.963678 | − | 0.267067i | \(-0.913945\pi\) |
0.832911 | + | 0.553407i | \(0.186673\pi\) | |||||||
\(72\) | 0.0864303 | + | 0.158285i | 0.0101859 | + | 0.0186541i | ||||
\(73\) | −0.636162 | − | 0.0454992i | −0.0744571 | − | 0.00532528i | 0.0340609 | − | 0.999420i | \(-0.489156\pi\) |
−0.108518 | + | 0.994094i | \(0.534611\pi\) | |||||||
\(74\) | −2.38387 | + | 1.53202i | −0.277119 | + | 0.178094i | ||||
\(75\) | 4.94223 | + | 6.91479i | 0.570679 | + | 0.798451i | ||||
\(76\) | 13.6725 | + | 1.96580i | 1.56834 | + | 0.225493i | ||||
\(77\) | −1.59647 | − | 0.871738i | −0.181935 | − | 0.0993438i | ||||
\(78\) | 16.8051 | − | 3.65574i | 1.90281 | − | 0.413931i | ||||
\(79\) | 1.94550 | + | 13.5312i | 0.218886 | + | 1.52238i | 0.742163 | + | 0.670220i | \(0.233800\pi\) |
−0.523277 | + | 0.852162i | \(0.675291\pi\) | |||||||
\(80\) | 2.80310 | + | 3.30795i | 0.313396 | + | 0.369840i | ||||
\(81\) | 3.59608 | + | 7.87433i | 0.399565 | + | 0.874925i | ||||
\(82\) | 15.7824 | − | 21.0829i | 1.74288 | − | 2.32821i | ||||
\(83\) | −2.91048 | − | 13.3793i | −0.319467 | − | 1.46857i | −0.804438 | − | 0.594037i | \(-0.797533\pi\) |
0.484971 | − | 0.874530i | \(-0.338830\pi\) | |||||||
\(84\) | −3.25807 | + | 0.956656i | −0.355485 | + | 0.104380i | ||||
\(85\) | −1.68078 | − | 1.28738i | −0.182306 | − | 0.139636i | ||||
\(86\) | 4.82098 | + | 4.17741i | 0.519860 | + | 0.450461i | ||||
\(87\) | 2.74823 | + | 0.597841i | 0.294641 | + | 0.0640953i | ||||
\(88\) | −0.291772 | + | 4.07950i | −0.0311030 | + | 0.434876i | ||||
\(89\) | 1.11643 | + | 0.327814i | 0.118342 | + | 0.0347483i | 0.340367 | − | 0.940293i | \(-0.389449\pi\) |
−0.222025 | + | 0.975041i | \(0.571267\pi\) | |||||||
\(90\) | 0.317647 | + | 0.434226i | 0.0334829 | + | 0.0457714i | ||||
\(91\) | − | 3.37268i | − | 0.353553i | ||||||
\(92\) | −5.66748 | + | 11.9063i | −0.590875 | + | 1.24132i | ||||
\(93\) | −10.0413 | + | 10.0413i | −1.04123 | + | 1.04123i | ||||
\(94\) | −3.02369 | − | 1.38087i | −0.311870 | − | 0.142426i | ||||
\(95\) | 11.2328 | + | 0.123863i | 1.15246 | + | 0.0127081i | ||||
\(96\) | −8.34107 | − | 9.62610i | −0.851306 | − | 0.982460i | ||||
\(97\) | −3.49831 | + | 16.0815i | −0.355200 | + | 1.63283i | 0.359321 | + | 0.933214i | \(0.383008\pi\) |
−0.714521 | + | 0.699614i | \(0.753355\pi\) | |||||||
\(98\) | −1.00625 | − | 14.0692i | −0.101647 | − | 1.42121i | ||||
\(99\) | 0.0393381 | − | 0.273603i | 0.00395363 | − | 0.0274981i | ||||
\(100\) | −10.1888 | − | 9.22979i | −1.01888 | − | 0.922979i | ||||
\(101\) | −15.1886 | − | 9.76110i | −1.51132 | − | 0.971266i | −0.993258 | − | 0.115922i | \(-0.963018\pi\) |
−0.518061 | − | 0.855344i | \(-0.673346\pi\) | |||||||
\(102\) | 2.80800 | + | 2.10205i | 0.278034 | + | 0.208133i | ||||
\(103\) | −5.69713 | + | 15.2746i | −0.561355 | + | 1.50505i | 0.277516 | + | 0.960721i | \(0.410489\pi\) |
−0.838871 | + | 0.544330i | \(0.816784\pi\) | |||||||
\(104\) | −6.89813 | + | 3.15027i | −0.676418 | + | 0.308910i | ||||
\(105\) | −2.52442 | + | 1.11939i | −0.246359 | + | 0.109242i | ||||
\(106\) | 0.681506 | − | 1.06044i | 0.0661937 | − | 0.102999i | ||||
\(107\) | 2.29704 | − | 4.20671i | 0.222063 | − | 0.406678i | −0.742768 | − | 0.669549i | \(-0.766487\pi\) |
0.964831 | + | 0.262871i | \(0.0846693\pi\) | |||||||
\(108\) | −8.71215 | − | 11.6381i | −0.838327 | − | 1.11987i | ||||
\(109\) | −0.858685 | + | 0.990975i | −0.0822471 | + | 0.0949182i | −0.795381 | − | 0.606109i | \(-0.792729\pi\) |
0.713134 | + | 0.701027i | \(0.247275\pi\) | |||||||
\(110\) | 0.736172 | + | 12.1788i | 0.0701913 | + | 1.16121i | ||||
\(111\) | 1.67042 | − | 1.44743i | 0.158549 | − | 0.137384i | ||||
\(112\) | −1.23642 | + | 0.675137i | −0.116831 | + | 0.0637944i | ||||
\(113\) | 16.3266 | − | 6.08950i | 1.53587 | − | 0.572852i | 0.567724 | − | 0.823219i | \(-0.307824\pi\) |
0.968151 | + | 0.250368i | \(0.0805515\pi\) | |||||||
\(114\) | −18.6112 | −1.74309 | ||||||||
\(115\) | −3.29686 | + | 10.2044i | −0.307434 | + | 0.951569i | ||||
\(116\) | −4.54922 | −0.422384 | ||||||||
\(117\) | 0.480209 | − | 0.179109i | 0.0443953 | − | 0.0165586i | ||||
\(118\) | −19.4951 | + | 10.6451i | −1.79467 | + | 0.979963i | ||||
\(119\) | 0.519858 | − | 0.450459i | 0.0476553 | − | 0.0412936i | ||||
\(120\) | 4.64744 | + | 4.11762i | 0.424251 | + | 0.375886i | ||||
\(121\) | −3.09838 | + | 3.57572i | −0.281671 | + | 0.325065i | ||||
\(122\) | 12.4257 | + | 16.5988i | 1.12497 | + | 1.50278i | ||||
\(123\) | −9.84464 | + | 18.0291i | −0.887661 | + | 1.62563i | ||||
\(124\) | 12.4182 | − | 19.3230i | 1.11518 | − | 1.73526i | ||||
\(125\) | −9.20044 | − | 6.35231i | −0.822912 | − | 0.568168i | ||||
\(126\) | −0.159003 | + | 0.0726144i | −0.0141652 | + | 0.00646901i | ||||
\(127\) | 1.67083 | − | 4.47967i | 0.148262 | − | 0.397506i | −0.841495 | − | 0.540264i | \(-0.818324\pi\) |
0.989758 | + | 0.142758i | \(0.0455970\pi\) | |||||||
\(128\) | 9.72698 | + | 7.28153i | 0.859752 | + | 0.643602i | ||||
\(129\) | −4.18579 | − | 2.69004i | −0.368538 | − | 0.236845i | ||||
\(130\) | −19.1653 | + | 12.0203i | −1.68091 | + | 1.05425i | ||||
\(131\) | 0.626779 | − | 4.35935i | 0.0547620 | − | 0.380878i | −0.943948 | − | 0.330095i | \(-0.892919\pi\) |
0.998710 | − | 0.0507829i | \(-0.0161717\pi\) | |||||||
\(132\) | −0.834825 | − | 11.6724i | −0.0726622 | − | 1.01595i | ||||
\(133\) | −0.775815 | + | 3.56637i | −0.0672717 | + | 0.309243i | ||||
\(134\) | −10.8814 | − | 12.5578i | −0.940010 | − | 1.08483i | ||||
\(135\) | −8.26729 | − | 8.45165i | −0.711535 | − | 0.727402i | ||||
\(136\) | −1.40690 | − | 0.642509i | −0.120641 | − | 0.0550947i | ||||
\(137\) | −1.02181 | + | 1.02181i | −0.0872994 | + | 0.0872994i | −0.749408 | − | 0.662109i | \(-0.769662\pi\) |
0.662109 | + | 0.749408i | \(0.269662\pi\) | |||||||
\(138\) | 5.27537 | − | 16.9655i | 0.449070 | − | 1.44420i | ||||
\(139\) | − | 11.5566i | − | 0.980219i | −0.871661 | − | 0.490109i | \(-0.836957\pi\) | ||
0.871661 | − | 0.490109i | \(-0.163043\pi\) | |||||||
\(140\) | 3.60506 | − | 2.63719i | 0.304683 | − | 0.222883i | ||||
\(141\) | 2.48775 | + | 0.730468i | 0.209506 | + | 0.0615165i | ||||
\(142\) | −0.412382 | + | 5.76585i | −0.0346063 | + | 0.483860i | ||||
\(143\) | 11.3575 | + | 2.47068i | 0.949765 | + | 0.206609i | ||||
\(144\) | −0.161788 | − | 0.140190i | −0.0134824 | − | 0.0116825i | ||||
\(145\) | −3.66757 | + | 0.486104i | −0.304575 | + | 0.0403687i | ||||
\(146\) | −1.33366 | + | 0.391596i | −0.110374 | + | 0.0324088i | ||||
\(147\) | 2.33864 | + | 10.7505i | 0.192887 | + | 0.886689i | ||||
\(148\) | −2.14249 | + | 2.86204i | −0.176112 | + | 0.235258i | ||||
\(149\) | 4.36658 | + | 9.56148i | 0.357724 | + | 0.783307i | 0.999860 | + | 0.0167161i | \(0.00532114\pi\) |
−0.642136 | + | 0.766591i | \(0.721952\pi\) | |||||||
\(150\) | 15.3581 | + | 10.3556i | 1.25398 | + | 0.845528i | ||||
\(151\) | 0.210384 | + | 1.46326i | 0.0171208 | + | 0.119078i | 0.996590 | − | 0.0825181i | \(-0.0262962\pi\) |
−0.979469 | + | 0.201596i | \(0.935387\pi\) | |||||||
\(152\) | 8.01893 | − | 1.74441i | 0.650421 | − | 0.141490i | ||||
\(153\) | 0.0917447 | + | 0.0500964i | 0.00741712 | + | 0.00405006i | ||||
\(154\) | −3.92381 | − | 0.564159i | −0.316190 | − | 0.0454612i | ||||
\(155\) | 7.94673 | − | 16.9051i | 0.638297 | − | 1.35785i | ||||
\(156\) | 18.2535 | − | 11.7308i | 1.46145 | − | 0.939214i | ||||
\(157\) | 20.5233 | + | 1.46785i | 1.63793 | + | 0.117147i | 0.859691 | − | 0.510815i | \(-0.170656\pi\) |
0.778244 | + | 0.627962i | \(0.216111\pi\) | |||||||
\(158\) | 14.2780 | + | 26.1482i | 1.13590 | + | 2.08024i | ||||
\(159\) | −0.408447 | + | 0.894374i | −0.0323919 | + | 0.0709285i | ||||
\(160\) | 14.6159 | + | 8.19137i | 1.15549 | + | 0.647585i | ||||
\(161\) | −3.03112 | − | 1.71811i | −0.238885 | − | 0.135406i | ||||
\(162\) | 13.3401 | + | 13.3401i | 1.04810 | + | 1.04810i | ||||
\(163\) | 3.28668 | + | 8.81193i | 0.257433 | + | 0.690204i | 0.999796 | + | 0.0202061i | \(0.00643224\pi\) |
−0.742363 | + | 0.669998i | \(0.766295\pi\) | |||||||
\(164\) | 9.36093 | − | 31.8804i | 0.730966 | − | 2.48944i | ||||
\(165\) | −1.92028 | − | 9.32104i | −0.149494 | − | 0.725642i | ||||
\(166\) | −16.1327 | − | 25.1030i | −1.25214 | − | 1.94837i | ||||
\(167\) | −7.42048 | + | 0.530724i | −0.574214 | + | 0.0410686i | −0.355427 | − | 0.934704i | \(-0.615665\pi\) |
−0.218787 | + | 0.975773i | \(0.570210\pi\) | |||||||
\(168\) | −1.61499 | + | 1.20896i | −0.124599 | + | 0.0932735i | ||||
\(169\) | 2.40920 | + | 8.20498i | 0.185323 | + | 0.631153i | ||||
\(170\) | −4.41253 | − | 1.34866i | −0.338425 | − | 0.103437i | ||||
\(171\) | −0.548986 | + | 0.0789323i | −0.0419820 | + | 0.00603611i | ||||
\(172\) | 7.54067 | + | 2.81252i | 0.574970 | + | 0.214453i | ||||
\(173\) | −1.88314 | − | 0.702375i | −0.143173 | − | 0.0534006i | 0.276856 | − | 0.960911i | \(-0.410707\pi\) |
−0.420029 | + | 0.907511i | \(0.637980\pi\) | |||||||
\(174\) | 6.06704 | − | 0.872308i | 0.459941 | − | 0.0661295i | ||||
\(175\) | 2.62459 | − | 2.51131i | 0.198401 | − | 0.189837i | ||||
\(176\) | −1.36778 | − | 4.65824i | −0.103100 | − | 0.351128i | ||||
\(177\) | 13.8697 | − | 10.3827i | 1.04251 | − | 0.780411i | ||||
\(178\) | 2.52935 | − | 0.180903i | 0.189583 | − | 0.0135592i | ||||
\(179\) | −2.87839 | − | 4.47887i | −0.215141 | − | 0.334766i | 0.716863 | − | 0.697214i | \(-0.245577\pi\) |
−0.932004 | + | 0.362448i | \(0.881941\pi\) | |||||||
\(180\) | 0.566938 | + | 0.373245i | 0.0422571 | + | 0.0278201i | ||||
\(181\) | 1.99350 | − | 6.78925i | 0.148176 | − | 0.504641i | −0.851634 | − | 0.524137i | \(-0.824388\pi\) |
0.999810 | + | 0.0194959i | \(0.00620613\pi\) | |||||||
\(182\) | −2.56865 | − | 6.88681i | −0.190401 | − | 0.510484i | ||||
\(183\) | −11.4359 | − | 11.4359i | −0.845366 | − | 0.845366i | ||||
\(184\) | −0.682815 | + | 7.80434i | −0.0503378 | + | 0.575344i | ||||
\(185\) | −1.42145 | + | 2.53630i | −0.104507 | + | 0.186473i | ||||
\(186\) | −12.8562 | + | 28.1512i | −0.942664 | + | 2.06415i | ||||
\(187\) | 1.13610 | + | 2.08061i | 0.0830799 | + | 0.152150i | ||||
\(188\) | −4.18311 | − | 0.299182i | −0.305085 | − | 0.0218201i | ||||
\(189\) | 3.23147 | − | 2.07674i | 0.235055 | − | 0.151061i | ||||
\(190\) | 23.0310 | − | 8.30200i | 1.67084 | − | 0.602290i | ||||
\(191\) | −0.890408 | − | 0.128021i | −0.0644276 | − | 0.00926330i | 0.110026 | − | 0.993929i | \(-0.464907\pi\) |
−0.174453 | + | 0.984665i | \(0.555816\pi\) | |||||||
\(192\) | −18.5772 | − | 10.1439i | −1.34070 | − | 0.732076i | ||||
\(193\) | −0.352722 | + | 0.0767299i | −0.0253895 | + | 0.00552314i | −0.225242 | − | 0.974303i | \(-0.572317\pi\) |
0.199853 | + | 0.979826i | \(0.435954\pi\) | |||||||
\(194\) | 5.10438 | + | 35.5017i | 0.366473 | + | 2.54888i | ||||
\(195\) | 13.4624 | − | 11.4078i | 0.964063 | − | 0.816929i | ||||
\(196\) | −7.39257 | − | 16.1875i | −0.528041 | − | 1.15625i | ||||
\(197\) | −8.02392 | + | 10.7187i | −0.571681 | + | 0.763676i | −0.989450 | − | 0.144877i | \(-0.953721\pi\) |
0.417769 | + | 0.908553i | \(0.362812\pi\) | |||||||
\(198\) | −0.128051 | − | 0.588640i | −0.00910017 | − | 0.0418328i | ||||
\(199\) | −13.0556 | + | 3.83348i | −0.925490 | + | 0.271748i | −0.709548 | − | 0.704658i | \(-0.751101\pi\) |
−0.215943 | + | 0.976406i | \(0.569282\pi\) | |||||||
\(200\) | −7.58790 | − | 3.02237i | −0.536545 | − | 0.213714i | ||||
\(201\) | 9.79504 | + | 8.48745i | 0.690889 | + | 0.598659i | ||||
\(202\) | −38.4482 | − | 8.36390i | −2.70521 | − | 0.588482i | ||||
\(203\) | 0.0857513 | − | 1.19896i | 0.00601856 | − | 0.0841505i | ||||
\(204\) | 4.24611 | + | 1.24677i | 0.297287 | + | 0.0872914i | ||||
\(205\) | 4.14020 | − | 26.7022i | 0.289164 | − | 1.86496i | ||||
\(206\) | 35.5287i | 2.47540i | ||||||||
\(207\) | 0.0836584 | − | 0.522818i | 0.00581466 | − | 0.0363384i | ||||
\(208\) | 6.36525 | − | 6.36525i | 0.441350 | − | 0.441350i | ||||
\(209\) | −11.4414 | − | 5.22513i | −0.791421 | − | 0.361430i | ||||
\(210\) | −4.30219 | + | 4.20834i | −0.296879 | + | 0.290403i | ||||
\(211\) | 8.26332 | + | 9.53638i | 0.568870 | + | 0.656511i | 0.965174 | − | 0.261608i | \(-0.0842528\pi\) |
−0.396304 | + | 0.918119i | \(0.629707\pi\) | |||||||
\(212\) | 0.338056 | − | 1.55402i | 0.0232178 | − | 0.106730i | ||||
\(213\) | −0.321656 | − | 4.49734i | −0.0220395 | − | 0.308153i | ||||
\(214\) | 1.48656 | − | 10.3393i | 0.101619 | − | 0.706778i | ||||
\(215\) | 6.37980 | + | 1.46170i | 0.435099 | + | 0.0996868i | ||||
\(216\) | −7.26592 | − | 4.66952i | −0.494383 | − | 0.317721i | ||||
\(217\) | 4.85856 | + | 3.63707i | 0.329821 | + | 0.246901i | ||||
\(218\) | −0.998651 | + | 2.67749i | −0.0676372 | + | 0.181342i | ||||
\(219\) | 0.986188 | − | 0.450377i | 0.0666404 | − | 0.0304337i | ||||
\(220\) | 6.23986 | + | 14.0720i | 0.420691 | + | 0.948732i | ||||
\(221\) | −2.37638 | + | 3.69771i | −0.159852 | + | 0.248735i | ||||
\(222\) | 2.30853 | − | 4.22776i | 0.154938 | − | 0.283749i | ||||
\(223\) | −1.16302 | − | 1.55361i | −0.0778814 | − | 0.104037i | 0.759909 | − | 0.650030i | \(-0.225244\pi\) |
−0.837790 | + | 0.545992i | \(0.816153\pi\) | |||||||
\(224\) | −3.56485 | + | 4.11405i | −0.238186 | + | 0.274882i | ||||
\(225\) | 0.496947 | + | 0.240330i | 0.0331298 | + | 0.0160220i | ||||
\(226\) | 28.7001 | − | 24.8688i | 1.90910 | − | 1.65424i | ||||
\(227\) | −7.02237 | + | 3.83451i | −0.466091 | + | 0.254505i | −0.695091 | − | 0.718921i | \(-0.744636\pi\) |
0.229000 | + | 0.973426i | \(0.426454\pi\) | |||||||
\(228\) | −22.0001 | + | 8.20562i | −1.45699 | + | 0.543431i | ||||
\(229\) | −23.6255 | −1.56122 | −0.780608 | − | 0.625022i | \(-0.785090\pi\) | ||||
−0.780608 | + | 0.625022i | \(0.785090\pi\) | |||||||
\(230\) | 1.03975 | + | 23.3478i | 0.0685590 | + | 1.53951i | ||||
\(231\) | 3.09203 | 0.203441 | ||||||||
\(232\) | −2.53232 | + | 0.944508i | −0.166255 | + | 0.0620100i | ||||
\(233\) | 14.6259 | − | 7.98634i | 0.958174 | − | 0.523202i | 0.0775344 | − | 0.996990i | \(-0.475295\pi\) |
0.880639 | + | 0.473787i | \(0.157113\pi\) | |||||||
\(234\) | 0.844147 | − | 0.731458i | 0.0551836 | − | 0.0478169i | ||||
\(235\) | −3.40438 | + | 0.205784i | −0.222078 | + | 0.0134239i | ||||
\(236\) | −18.3516 | + | 21.1789i | −1.19459 | + | 1.37863i | ||||
\(237\) | −13.9260 | − | 18.6030i | −0.904593 | − | 1.20839i | ||||
\(238\) | 0.718446 | − | 1.31574i | 0.0465700 | − | 0.0852865i | ||||
\(239\) | −8.84299 | + | 13.7600i | −0.572005 | + | 0.890058i | −0.999905 | − | 0.0137684i | \(-0.995617\pi\) |
0.427900 | + | 0.903826i | \(0.359254\pi\) | |||||||
\(240\) | −6.87696 | − | 2.65171i | −0.443906 | − | 0.171167i | ||||
\(241\) | 23.1736 | − | 10.5830i | 1.49274 | − | 0.681713i | 0.508914 | − | 0.860817i | \(-0.330047\pi\) |
0.983830 | + | 0.179104i | \(0.0573198\pi\) | |||||||
\(242\) | −3.60342 | + | 9.66113i | −0.231636 | + | 0.621041i | ||||
\(243\) | 0.918013 | + | 0.687216i | 0.0588906 | + | 0.0440849i | ||||
\(244\) | 22.0067 | + | 14.1429i | 1.40884 | + | 0.905404i | ||||
\(245\) | −7.68958 | − | 12.2604i | −0.491269 | − | 0.783287i | ||||
\(246\) | −6.37111 | + | 44.3121i | −0.406207 | + | 2.82523i | ||||
\(247\) | −1.66377 | − | 23.2626i | −0.105863 | − | 1.48016i | ||||
\(248\) | 2.90073 | − | 13.3344i | 0.184196 | − | 0.846737i | ||||
\(249\) | 15.2420 | + | 17.5901i | 0.965919 | + | 1.11473i | ||||
\(250\) | −23.6247 | − | 5.96394i | −1.49416 | − | 0.377193i | ||||
\(251\) | −7.47548 | − | 3.41394i | −0.471848 | − | 0.215486i | 0.165276 | − | 0.986247i | \(-0.447149\pi\) |
−0.637124 | + | 0.770762i | \(0.719876\pi\) | |||||||
\(252\) | −0.155941 | + | 0.155941i | −0.00982339 | + | 0.00982339i | ||||
\(253\) | 8.00622 | − | 8.94870i | 0.503347 | − | 0.562600i | ||||
\(254\) | − | 10.4197i | − | 0.653791i | ||||||
\(255\) | 3.55643 | + | 0.551428i | 0.222712 | + | 0.0345318i | ||||
\(256\) | 1.51301 | + | 0.444261i | 0.0945634 | + | 0.0277663i | ||||
\(257\) | −1.37279 | + | 19.1941i | −0.0856323 | + | 1.19730i | 0.755013 | + | 0.655710i | \(0.227631\pi\) |
−0.840645 | + | 0.541586i | \(0.817824\pi\) | |||||||
\(258\) | −10.5959 | − | 2.30499i | −0.659670 | − | 0.143502i | ||||
\(259\) | −0.713913 | − | 0.618609i | −0.0443604 | − | 0.0384385i | ||||
\(260\) | −17.3555 | + | 22.6591i | −1.07634 | + | 1.40526i | ||||
\(261\) | 0.175264 | − | 0.0514622i | 0.0108486 | − | 0.00318543i | ||||
\(262\) | −2.04025 | − | 9.37887i | −0.126047 | − | 0.579429i | ||||
\(263\) | 4.05460 | − | 5.41631i | 0.250017 | − | 0.333984i | −0.657922 | − | 0.753086i | \(-0.728564\pi\) |
0.907939 | + | 0.419102i | \(0.137655\pi\) | |||||||
\(264\) | −2.88813 | − | 6.32411i | −0.177752 | − | 0.389222i | ||||
\(265\) | 0.106486 | − | 1.28897i | 0.00654140 | − | 0.0791808i | ||||
\(266\) | 1.13199 | + | 7.87316i | 0.0694068 | + | 0.482735i | ||||
\(267\) | −1.93272 | + | 0.420438i | −0.118281 | + | 0.0257304i | ||||
\(268\) | −18.3996 | − | 10.0469i | −1.12393 | − | 0.613713i | ||||
\(269\) | 7.07727 | + | 1.01756i | 0.431509 | + | 0.0620416i | 0.354647 | − | 0.935000i | \(-0.384601\pi\) |
0.0768615 | + | 0.997042i | \(0.475510\pi\) | |||||||
\(270\) | −23.3181 | − | 10.9614i | −1.41909 | − | 0.667087i | ||||
\(271\) | 1.49386 | − | 0.960049i | 0.0907458 | − | 0.0583188i | −0.494481 | − | 0.869188i | \(-0.664642\pi\) |
0.585227 | + | 0.810870i | \(0.301005\pi\) | |||||||
\(272\) | 1.83128 | + | 0.130975i | 0.111037 | + | 0.00794155i | ||||
\(273\) | 2.74761 | + | 5.03187i | 0.166293 | + | 0.304543i | ||||
\(274\) | −1.30826 | + | 2.86470i | −0.0790351 | + | 0.173063i | ||||
\(275\) | 6.53421 | + | 10.6780i | 0.394028 | + | 0.643909i | ||||
\(276\) | −1.24409 | − | 22.3808i | −0.0748853 | − | 1.34716i | ||||
\(277\) | 6.54540 | + | 6.54540i | 0.393275 | + | 0.393275i | 0.875853 | − | 0.482578i | \(-0.160300\pi\) |
−0.482578 | + | 0.875853i | \(0.660300\pi\) | |||||||
\(278\) | −8.80155 | − | 23.5979i | −0.527882 | − | 1.41531i | ||||
\(279\) | −0.259836 | + | 0.884921i | −0.0155560 | + | 0.0529788i | ||||
\(280\) | 1.45922 | − | 2.21648i | 0.0872053 | − | 0.132460i | ||||
\(281\) | −5.53890 | − | 8.61869i | −0.330423 | − | 0.514148i | 0.635801 | − | 0.771853i | \(-0.280670\pi\) |
−0.966224 | + | 0.257705i | \(0.917034\pi\) | |||||||
\(282\) | 5.63615 | − | 0.403106i | 0.335628 | − | 0.0240046i | ||||
\(283\) | 13.1785 | − | 9.86530i | 0.783380 | − | 0.586431i | −0.130955 | − | 0.991388i | \(-0.541804\pi\) |
0.914336 | + | 0.404957i | \(0.132714\pi\) | |||||||
\(284\) | 2.05468 | + | 6.99760i | 0.121923 | + | 0.415231i | ||||
\(285\) | −16.8596 | + | 8.96616i | −0.998679 | + | 0.531110i | ||||
\(286\) | 25.0731 | − | 3.60496i | 1.48260 | − | 0.213166i | ||||
\(287\) | 8.22572 | + | 3.06804i | 0.485549 | + | 0.181100i | ||||
\(288\) | −0.775080 | − | 0.289090i | −0.0456720 | − | 0.0170348i | ||||
\(289\) | 15.9396 | − | 2.29177i | 0.937624 | − | 0.134810i | ||||
\(290\) | −7.11873 | + | 3.78583i | −0.418026 | + | 0.222311i | ||||
\(291\) | −7.88174 | − | 26.8428i | −0.462036 | − | 1.57355i | ||||
\(292\) | −1.40385 | + | 1.05091i | −0.0821542 | + | 0.0614999i | ||||
\(293\) | −26.9530 | + | 1.92771i | −1.57461 | + | 0.112618i | −0.831106 | − | 0.556114i | \(-0.812292\pi\) |
−0.743503 | + | 0.668733i | \(0.766837\pi\) | |||||||
\(294\) | 12.9630 | + | 20.1708i | 0.756017 | + | 1.17639i | ||||
\(295\) | −12.5320 | + | 19.0353i | −0.729639 | + | 1.10828i | ||||
\(296\) | −0.598404 | + | 2.03798i | −0.0347816 | + | 0.118455i | ||||
\(297\) | 4.62620 | + | 12.4033i | 0.268440 | + | 0.719714i | ||||
\(298\) | 16.1983 | + | 16.1983i | 0.938345 | + | 0.938345i | ||||
\(299\) | 21.6773 | + | 5.07717i | 1.25363 | + | 0.293620i | ||||
\(300\) | 22.7204 | + | 5.46990i | 1.31176 | + | 0.315805i | ||||
\(301\) | −0.883388 | + | 1.93435i | −0.0509176 | + | 0.111494i | ||||
\(302\) | 1.54401 | + | 2.82765i | 0.0888479 | + | 0.162713i | ||||
\(303\) | 30.6126 | + | 2.18946i | 1.75865 | + | 0.125781i | ||||
\(304\) | −8.19498 | + | 5.26659i | −0.470014 | + | 0.302060i | ||||
\(305\) | 19.2530 | + | 9.05043i | 1.10242 | + | 0.518226i | ||||
\(306\) | 0.225491 | + | 0.0324207i | 0.0128904 | + | 0.00185337i | ||||
\(307\) | −12.9523 | − | 7.07248i | −0.739225 | − | 0.403647i | 0.0650675 | − | 0.997881i | \(-0.479274\pi\) |
−0.804293 | + | 0.594233i | \(0.797456\pi\) | |||||||
\(308\) | −4.88705 | + | 1.06311i | −0.278465 | + | 0.0605764i | ||||
\(309\) | −3.94387 | − | 27.4302i | −0.224359 | − | 1.56045i | ||||
\(310\) | 3.35175 | − | 40.5715i | 0.190367 | − | 2.30430i | ||||
\(311\) | −3.97284 | − | 8.69931i | −0.225279 | − | 0.493293i | 0.762915 | − | 0.646499i | \(-0.223767\pi\) |
−0.988194 | + | 0.153206i | \(0.951040\pi\) | |||||||
\(312\) | 7.72525 | − | 10.3197i | 0.437356 | − | 0.584239i | ||||
\(313\) | 0.284908 | + | 1.30970i | 0.0161039 | + | 0.0740286i | 0.984498 | − | 0.175398i | \(-0.0561214\pi\) |
−0.968394 | + | 0.249427i | \(0.919758\pi\) | |||||||
\(314\) | 43.0251 | − | 12.6333i | 2.42805 | − | 0.712940i | ||||
\(315\) | −0.109057 | + | 0.142383i | −0.00614464 | + | 0.00802235i | ||||
\(316\) | 28.4067 | + | 24.6145i | 1.59800 | + | 1.38467i | ||||
\(317\) | −5.22065 | − | 1.13568i | −0.293221 | − | 0.0637863i | 0.0635486 | − | 0.997979i | \(-0.479758\pi\) |
−0.356770 | + | 0.934192i | \(0.616122\pi\) | |||||||
\(318\) | −0.152865 | + | 2.13733i | −0.00857224 | + | 0.119856i | ||||
\(319\) | 3.97469 | + | 1.16707i | 0.222540 | + | 0.0653436i | ||||
\(320\) | 27.5140 | + | 4.26607i | 1.53808 | + | 0.238480i | ||||
\(321\) | 8.14752i | 0.454750i | ||||||||
\(322\) | −7.49787 | − | 1.19977i | −0.417840 | − | 0.0668604i | ||||
\(323\) | 3.36343 | − | 3.36343i | 0.187146 | − | 0.187146i | ||||
\(324\) | 21.6509 | + | 9.88762i | 1.20283 | + | 0.549312i | ||||
\(325\) | −11.5707 | + | 20.1222i | −0.641829 | + | 1.11618i | ||||
\(326\) | 13.4224 | + | 15.4903i | 0.743398 | + | 0.857927i | ||||
\(327\) | 0.473801 | − | 2.17803i | 0.0262013 | − | 0.120445i | ||||
\(328\) | −1.40824 | − | 19.6898i | −0.0777570 | − | 1.08718i | ||||
\(329\) | 0.157701 | − | 1.09683i | 0.00869432 | − | 0.0604703i | ||||
\(330\) | −11.0200 | − | 17.5705i | −0.606633 | − | 0.967224i | ||||
\(331\) | −28.9268 | − | 18.5901i | −1.58996 | − | 1.02180i | −0.971817 | − | 0.235738i | \(-0.924249\pi\) |
−0.618142 | − | 0.786066i | \(-0.712115\pi\) | |||||||
\(332\) | −30.1383 | − | 22.5612i | −1.65405 | − | 1.23821i | ||||
\(333\) | 0.0501659 | − | 0.134500i | 0.00274908 | − | 0.00737056i | ||||
\(334\) | −14.7480 | + | 6.73517i | −0.806973 | + | 0.368532i | ||||
\(335\) | −15.9072 | − | 6.13373i | −0.869105 | − | 0.335121i | ||||
\(336\) | 1.29467 | − | 2.01454i | 0.0706299 | − | 0.109902i | ||||
\(337\) | −7.17200 | + | 13.1345i | −0.390684 | + | 0.715484i | −0.996804 | − | 0.0798893i | \(-0.974543\pi\) |
0.606120 | + | 0.795373i | \(0.292725\pi\) | |||||||
\(338\) | 11.1684 | + | 14.9192i | 0.607480 | + | 0.811498i | ||||
\(339\) | −19.3975 | + | 22.3859i | −1.05353 | + | 1.21584i | ||||
\(340\) | −5.81064 | + | 0.351234i | −0.315126 | + | 0.0190484i | ||||
\(341\) | −15.8071 | + | 13.6969i | −0.856000 | + | 0.741728i | ||||
\(342\) | −1.06088 | + | 0.579285i | −0.0573659 | + | 0.0313241i | ||||
\(343\) | 9.17049 | − | 3.42042i | 0.495160 | − | 0.184685i | ||||
\(344\) | 4.78145 | 0.257799 | ||||||||
\(345\) | −3.39446 | − | 17.9104i | −0.182752 | − | 0.964262i | ||||
\(346\) | −4.38019 | −0.235480 | ||||||||
\(347\) | −20.8785 | + | 7.78729i | −1.12082 | + | 0.418043i | −0.840472 | − | 0.541856i | \(-0.817722\pi\) |
−0.280346 | + | 0.959899i | \(0.590449\pi\) | |||||||
\(348\) | 6.78721 | − | 3.70609i | 0.363832 | − | 0.198668i | ||||
\(349\) | 16.4091 | − | 14.2186i | 0.878360 | − | 0.761103i | −0.0937582 | − | 0.995595i | \(-0.529888\pi\) |
0.972118 | + | 0.234492i | \(0.0753426\pi\) | |||||||
\(350\) | 3.44663 | − | 7.12685i | 0.184230 | − | 0.380946i | ||||
\(351\) | −16.0739 | + | 18.5503i | −0.857962 | + | 0.990141i | ||||
\(352\) | −11.2427 | − | 15.0184i | −0.599235 | − | 0.800485i | ||||
\(353\) | −9.88539 | + | 18.1037i | −0.526146 | + | 0.963565i | 0.470552 | + | 0.882372i | \(0.344055\pi\) |
−0.996698 | + | 0.0811930i | \(0.974127\pi\) | |||||||
\(354\) | 20.4135 | − | 31.7640i | 1.08496 | − | 1.68824i | ||||
\(355\) | 2.40420 | + | 5.42189i | 0.127602 | + | 0.287764i | ||||
\(356\) | 2.91017 | − | 1.32903i | 0.154239 | − | 0.0704385i | ||||
\(357\) | −0.408628 | + | 1.09557i | −0.0216269 | + | 0.0579839i | ||||
\(358\) | −9.28862 | − | 6.95338i | −0.490919 | − | 0.367497i | ||||
\(359\) | −19.6185 | − | 12.6080i | −1.03543 | − | 0.665427i | −0.0915741 | − | 0.995798i | \(-0.529190\pi\) |
−0.943851 | + | 0.330371i | \(0.892826\pi\) | |||||||
\(360\) | 0.393079 | + | 0.0900597i | 0.0207171 | + | 0.00474656i | ||||
\(361\) | −0.887772 | + | 6.17459i | −0.0467248 | + | 0.324978i | ||||
\(362\) | −1.10011 | − | 15.3815i | −0.0578203 | − | 0.808434i | ||||
\(363\) | 1.70961 | − | 7.85894i | 0.0897312 | − | 0.412487i | ||||
\(364\) | −6.07276 | − | 7.00834i | −0.318299 | − | 0.367337i | ||||
\(365\) | −1.01949 | + | 0.997249i | −0.0533624 | + | 0.0521984i | ||||
\(366\) | −32.0610 | − | 14.6418i | −1.67586 | − | 0.765338i | ||||
\(367\) | 18.8545 | − | 18.8545i | 0.984199 | − | 0.984199i | −0.0156784 | − | 0.999877i | \(-0.504991\pi\) |
0.999877 | + | 0.0156784i | \(0.00499078\pi\) | |||||||
\(368\) | −2.47803 | − | 8.96320i | −0.129176 | − | 0.467239i | ||||
\(369\) | 1.33412i | 0.0694518i | ||||||||
\(370\) | −0.970861 | + | 6.26155i | −0.0504726 | + | 0.325523i | ||||
\(371\) | 0.403194 | + | 0.118389i | 0.0209328 | + | 0.00614642i | ||||
\(372\) | −2.78545 | + | 38.9456i | −0.144419 | + | 2.01924i | ||||
\(373\) | 9.84942 | + | 2.14261i | 0.509983 | + | 0.110940i | 0.460192 | − | 0.887820i | \(-0.347781\pi\) |
0.0497916 | + | 0.998760i | \(0.484144\pi\) | |||||||
\(374\) | 3.90445 | + | 3.38323i | 0.201894 | + | 0.174942i | ||||
\(375\) | 18.9016 | + | 1.98205i | 0.976075 | + | 0.102352i | ||||
\(376\) | −2.39065 | + | 0.701958i | −0.123288 | + | 0.0362007i | ||||
\(377\) | 1.63269 | + | 7.50537i | 0.0840880 | + | 0.386546i | ||||
\(378\) | 5.01681 | − | 6.70167i | 0.258037 | − | 0.344697i | ||||
\(379\) | 5.78157 | + | 12.6599i | 0.296979 | + | 0.650294i | 0.998025 | − | 0.0628229i | \(-0.0200103\pi\) |
−0.701046 | + | 0.713116i | \(0.747283\pi\) | |||||||
\(380\) | 23.5644 | − | 19.9680i | 1.20883 | − | 1.02434i | ||||
\(381\) | 1.15664 | + | 8.04461i | 0.0592565 | + | 0.412138i | ||||
\(382\) | −1.91566 | + | 0.416726i | −0.0980137 | + | 0.0213216i | ||||
\(383\) | 13.9973 | + | 7.64310i | 0.715228 | + | 0.390544i | 0.795277 | − | 0.606247i | \(-0.207326\pi\) |
−0.0800484 | + | 0.996791i | \(0.525507\pi\) | |||||||
\(384\) | −20.4442 | − | 2.93943i | −1.04329 | − | 0.150002i | ||||
\(385\) | −3.82633 | + | 1.37928i | −0.195008 | + | 0.0702947i | ||||
\(386\) | −0.661798 | + | 0.425312i | −0.0336846 | + | 0.0216478i | ||||
\(387\) | −0.322329 | − | 0.0230535i | −0.0163849 | − | 0.00117187i | ||||
\(388\) | 21.6865 | + | 39.7159i | 1.10097 | + | 2.01627i | ||||
\(389\) | −3.67446 | + | 8.04595i | −0.186303 | + | 0.407946i | −0.979619 | − | 0.200863i | \(-0.935625\pi\) |
0.793317 | + | 0.608809i | \(0.208353\pi\) | |||||||
\(390\) | 18.8012 | − | 33.5470i | 0.952035 | − | 1.69872i | ||||
\(391\) | 2.11266 | + | 4.01940i | 0.106842 | + | 0.203270i | ||||
\(392\) | −7.47592 | − | 7.47592i | −0.377591 | − | 0.377591i | ||||
\(393\) | 2.61629 | + | 7.01454i | 0.131974 | + | 0.353837i | ||||
\(394\) | −8.22095 | + | 27.9980i | −0.414165 | + | 1.41052i | ||||
\(395\) | 25.5316 | + | 16.8088i | 1.28463 | + | 0.845742i | ||||
\(396\) | −0.410898 | − | 0.639370i | −0.0206484 | − | 0.0321296i | ||||
\(397\) | 25.3278 | − | 1.81148i | 1.27116 | − | 0.0909155i | 0.580602 | − | 0.814188i | \(-0.302817\pi\) |
0.690563 | + | 0.723272i | \(0.257363\pi\) | |||||||
\(398\) | −23.7392 | + | 17.7710i | −1.18994 | + | 0.890778i | ||||
\(399\) | −1.74792 | − | 5.95287i | −0.0875055 | − | 0.298016i | ||||
\(400\) | 9.69298 | + | 0.213794i | 0.484649 | + | 0.0106897i | ||||
\(401\) | 20.7700 | − | 2.98628i | 1.03721 | − | 0.149128i | 0.397385 | − | 0.917652i | \(-0.369918\pi\) |
0.639820 | + | 0.768524i | \(0.279009\pi\) | |||||||
\(402\) | 26.4649 | + | 9.87091i | 1.31995 | + | 0.492316i | ||||
\(403\) | −36.3362 | − | 13.5527i | −1.81004 | − | 0.675109i | ||||
\(404\) | −49.1370 | + | 7.06484i | −2.44466 | + | 0.351489i | ||||
\(405\) | 18.5114 | + | 5.65789i | 0.919840 | + | 0.281143i | ||||
\(406\) | −0.738033 | − | 2.51351i | −0.0366280 | − | 0.124743i | ||||
\(407\) | 2.60615 | − | 1.95094i | 0.129182 | − | 0.0967046i | ||||
\(408\) | 2.62245 | − | 0.187562i | 0.129831 | − | 0.00928569i | ||||
\(409\) | 1.45533 | + | 2.26455i | 0.0719617 | + | 0.111975i | 0.875369 | − | 0.483455i | \(-0.160618\pi\) |
−0.803408 | + | 0.595429i | \(0.796982\pi\) | |||||||
\(410\) | −11.8824 | − | 57.6773i | −0.586831 | − | 2.84848i | ||||
\(411\) | 0.692058 | − | 2.35693i | 0.0341367 | − | 0.116259i | ||||
\(412\) | 15.6646 | + | 41.9983i | 0.771737 | + | 2.06911i | ||||
\(413\) | −5.23584 | − | 5.23584i | −0.257639 | − | 0.257639i | ||||
\(414\) | −0.227355 | − | 1.13128i | −0.0111739 | − | 0.0555992i | ||||
\(415\) | −26.7082 | − | 14.9684i | −1.31105 | − | 0.734770i | ||||
\(416\) | 14.4502 | − | 31.6415i | 0.708479 | − | 1.55135i | ||||
\(417\) | 9.41478 | + | 17.2419i | 0.461044 | + | 0.844339i | ||||
\(418\) | −27.3422 | − | 1.95555i | −1.33735 | − | 0.0956492i | ||||
\(419\) | 14.0754 | − | 9.04568i | 0.687626 | − | 0.441911i | −0.149615 | − | 0.988744i | \(-0.547803\pi\) |
0.837241 | + | 0.546834i | \(0.184167\pi\) | |||||||
\(420\) | −3.23014 | + | 6.87148i | −0.157615 | + | 0.335294i | ||||
\(421\) | −17.9570 | − | 2.58182i | −0.875168 | − | 0.125830i | −0.309931 | − | 0.950759i | \(-0.600306\pi\) |
−0.565237 | + | 0.824929i | \(0.691215\pi\) | |||||||
\(422\) | 24.1361 | + | 13.1793i | 1.17493 | + | 0.641559i | ||||
\(423\) | 0.164544 | − | 0.0357944i | 0.00800040 | − | 0.00174038i | ||||
\(424\) | −0.134466 | − | 0.935233i | −0.00653026 | − | 0.0454189i | ||||
\(425\) | −4.64699 | + | 0.904057i | −0.225412 | + | 0.0438532i | ||||
\(426\) | −4.08200 | − | 8.93832i | −0.197773 | − | 0.433063i | ||||
\(427\) | −4.14221 | + | 5.53335i | −0.200456 | + | 0.267778i | ||||
\(428\) | −2.80131 | − | 12.8774i | −0.135406 | − | 0.622453i | ||||
\(429\) | −18.9577 | + | 5.56647i | −0.915285 | + | 0.268752i | ||||
\(430\) | 14.1404 | − | 1.87418i | 0.681910 | − | 0.0903812i | ||||
\(431\) | 10.1506 | + | 8.79555i | 0.488937 | + | 0.423667i | 0.864121 | − | 0.503284i | \(-0.167875\pi\) |
−0.375184 | + | 0.926950i | \(0.622420\pi\) | |||||||
\(432\) | 10.0182 | + | 2.17932i | 0.481999 | + | 0.104852i | ||||
\(433\) | −2.23600 | + | 31.2634i | −0.107455 | + | 1.50242i | 0.602467 | + | 0.798144i | \(0.294185\pi\) |
−0.709922 | + | 0.704280i | \(0.751270\pi\) | |||||||
\(434\) | 12.6909 | + | 3.72638i | 0.609182 | + | 0.178872i | ||||
\(435\) | 5.07582 | − | 3.71309i | 0.243367 | − | 0.178029i | ||||
\(436\) | 3.60535i | 0.172665i | ||||||||
\(437\) | −21.7542 | − | 10.3551i | −1.04065 | − | 0.495354i | ||||
\(438\) | 1.67073 | − | 1.67073i | 0.0798304 | − | 0.0798304i | ||||
\(439\) | −16.6287 | − | 7.59407i | −0.793644 | − | 0.362445i | −0.0230202 | − | 0.999735i | \(-0.507328\pi\) |
−0.770624 | + | 0.637290i | \(0.780055\pi\) | |||||||
\(440\) | 6.39504 | + | 6.53765i | 0.304872 | + | 0.311670i | ||||
\(441\) | 0.467926 | + | 0.540015i | 0.0222822 | + | 0.0257150i | ||||
\(442\) | −2.03622 | + | 9.36036i | −0.0968532 | + | 0.445227i | ||||
\(443\) | −1.65917 | − | 23.1983i | −0.0788297 | − | 1.10218i | −0.870804 | − | 0.491630i | \(-0.836401\pi\) |
0.791975 | − | 0.610554i | \(-0.209053\pi\) | |||||||
\(444\) | 0.864889 | − | 6.01544i | 0.0410458 | − | 0.285480i | ||||
\(445\) | 2.20416 | − | 1.38243i | 0.104487 | − | 0.0655333i | ||||
\(446\) | −3.55804 | − | 2.28662i | −0.168478 | − | 0.108274i | ||||
\(447\) | −14.3041 | − | 10.7079i | −0.676563 | − | 0.506468i | ||||
\(448\) | −3.16131 | + | 8.47580i | −0.149358 | + | 0.400444i | ||||
\(449\) | 36.9540 | − | 16.8763i | 1.74397 | − | 0.796443i | 0.753708 | − | 0.657209i | \(-0.228263\pi\) |
0.990259 | − | 0.139234i | \(-0.0444641\pi\) | |||||||
\(450\) | 1.19777 | + | 0.112262i | 0.0564635 | + | 0.00529209i | ||||
\(451\) | −16.3575 | + | 25.4527i | −0.770242 | + | 1.19852i | ||||
\(452\) | 22.9616 | − | 42.0510i | 1.08002 | − | 1.97791i | ||||
\(453\) | −1.50595 | − | 2.01171i | −0.0707556 | − | 0.0945185i | ||||
\(454\) | −11.4189 | + | 13.1781i | −0.535915 | + | 0.618478i | ||||
\(455\) | −5.64472 | − | 5.00121i | −0.264628 | − | 0.234460i | ||||
\(456\) | −10.5427 | + | 9.13533i | −0.493709 | + | 0.427801i | ||||
\(457\) | −17.0738 | + | 9.32302i | −0.798681 | + | 0.436113i | −0.826108 | − | 0.563511i | \(-0.809450\pi\) |
0.0274279 | + | 0.999624i | \(0.491268\pi\) | |||||||
\(458\) | −48.2418 | + | 17.9932i | −2.25419 | + | 0.840769i | ||||
\(459\) | −5.00615 | −0.233667 | ||||||||
\(460\) | 11.5231 | + | 27.1408i | 0.537265 | + | 1.26545i | ||||
\(461\) | 5.05572 | 0.235468 | 0.117734 | − | 0.993045i | \(-0.462437\pi\) | ||||
0.117734 | + | 0.993045i | \(0.462437\pi\) | |||||||
\(462\) | 6.31373 | − | 2.35490i | 0.293741 | − | 0.109560i | ||||
\(463\) | 8.93312 | − | 4.87785i | 0.415157 | − | 0.226693i | −0.258074 | − | 0.966125i | \(-0.583088\pi\) |
0.673231 | + | 0.739432i | \(0.264906\pi\) | |||||||
\(464\) | 2.42463 | − | 2.10095i | 0.112561 | − | 0.0975343i | ||||
\(465\) | 1.91589 | + | 31.6955i | 0.0888474 | + | 1.46984i | ||||
\(466\) | 23.7827 | − | 27.4467i | 1.10171 | − | 1.27145i | ||||
\(467\) | 23.1349 | + | 30.9046i | 1.07056 | + | 1.43009i | 0.895241 | + | 0.445582i | \(0.147003\pi\) |
0.175314 | + | 0.984513i | \(0.443906\pi\) | |||||||
\(468\) | 0.675363 | − | 1.23684i | 0.0312187 | − | 0.0571727i | ||||
\(469\) | 2.99472 | − | 4.65988i | 0.138283 | − | 0.215173i | ||||
\(470\) | −6.79482 | + | 3.01299i | −0.313422 | + | 0.138979i | ||||
\(471\) | −31.8155 | + | 14.5296i | −1.46598 | + | 0.669491i | ||||
\(472\) | −5.81827 | + | 15.5994i | −0.267808 | + | 0.718020i | ||||
\(473\) | −5.86681 | − | 4.39184i | −0.269756 | − | 0.201937i | ||||
\(474\) | −42.6042 | − | 27.3801i | −1.95688 | − | 1.25761i | ||||
\(475\) | 16.8639 | − | 18.6161i | 0.773769 | − | 0.854167i | ||||
\(476\) | 0.269165 | − | 1.87209i | 0.0123372 | − | 0.0858069i | ||||
\(477\) | 0.00455553 | + | 0.0636947i | 0.000208584 | + | 0.00291638i | ||||
\(478\) | −7.57720 | + | 34.8318i | −0.346573 | + | 1.59317i | ||||
\(479\) | −9.94926 | − | 11.4821i | −0.454593 | − | 0.524628i | 0.481469 | − | 0.876463i | \(-0.340103\pi\) |
−0.936062 | + | 0.351835i | \(0.885558\pi\) | |||||||
\(480\) | −28.4794 | − | 0.314041i | −1.29990 | − | 0.0143340i | ||||
\(481\) | 5.49076 | + | 2.50755i | 0.250357 | + | 0.114334i | ||||
\(482\) | 39.2590 | − | 39.2590i | 1.78820 | − | 1.78820i | ||||
\(483\) | 5.92196 | + | 0.0939872i | 0.269459 | + | 0.00427656i | ||||
\(484\) | 13.0091i | 0.591323i | ||||||||
\(485\) | 21.7274 | + | 29.7015i | 0.986592 | + | 1.34868i | ||||
\(486\) | 2.39791 | + | 0.704090i | 0.108771 | + | 0.0319382i | ||||
\(487\) | 1.13423 | − | 15.8586i | 0.0513969 | − | 0.718622i | −0.904789 | − | 0.425861i | \(-0.859971\pi\) |
0.956186 | − | 0.292761i | \(-0.0945741\pi\) | |||||||
\(488\) | 15.1864 | + | 3.30360i | 0.687456 | + | 0.149547i | ||||
\(489\) | −12.0824 | − | 10.4694i | −0.546383 | − | 0.473444i | ||||
\(490\) | −25.0392 | − | 19.1785i | −1.13116 | − | 0.866397i | ||||
\(491\) | 23.8524 | − | 7.00368i | 1.07644 | − | 0.316072i | 0.304987 | − | 0.952356i | \(-0.401348\pi\) |
0.771454 | + | 0.636285i | \(0.219530\pi\) | |||||||
\(492\) | 12.0059 | + | 55.1900i | 0.541266 | + | 2.48816i | ||||
\(493\) | −0.938797 | + | 1.25409i | −0.0422813 | + | 0.0564812i | ||||
\(494\) | −21.1142 | − | 46.2336i | −0.949972 | − | 2.08015i | ||||
\(495\) | −0.399585 | − | 0.471552i | −0.0179600 | − | 0.0211947i | ||||
\(496\) | 2.30531 | + | 16.0338i | 0.103511 | + | 0.719938i | ||||
\(497\) | −1.88297 | + | 0.409615i | −0.0844627 | + | 0.0183737i | ||||
\(498\) | 44.5198 | + | 24.3097i | 1.99498 | + | 1.08934i | ||||
\(499\) | −24.4167 | − | 3.51059i | −1.09304 | − | 0.157156i | −0.427865 | − | 0.903842i | \(-0.640734\pi\) |
−0.665176 | + | 0.746687i | \(0.731643\pi\) | |||||||
\(500\) | −30.5561 | + | 3.36614i | −1.36651 | + | 0.150538i | ||||
\(501\) | 10.6386 | − | 6.83703i | 0.475299 | − | 0.305456i | ||||
\(502\) | −17.8645 | − | 1.27770i | −0.797333 | − | 0.0570264i | ||||
\(503\) | −10.0012 | − | 18.3159i | −0.445932 | − | 0.816664i | 0.553942 | − | 0.832556i | \(-0.313123\pi\) |
−0.999874 | + | 0.0158918i | \(0.994941\pi\) | |||||||
\(504\) | −0.0544283 | + | 0.119181i | −0.00242443 | + | 0.00530876i | ||||
\(505\) | −38.8592 | + | 10.9462i | −1.72921 | + | 0.487098i | ||||
\(506\) | 9.53285 | − | 24.3703i | 0.423787 | − | 1.08339i | ||||
\(507\) | −10.2787 | − | 10.2787i | −0.456495 | − | 0.456495i | ||||
\(508\) | −4.59404 | − | 12.3171i | −0.203827 | − | 0.546482i | ||||
\(509\) | −0.0147013 | + | 0.0500681i | −0.000651624 | + | 0.00221923i | −0.959818 | − | 0.280623i | \(-0.909459\pi\) |
0.959167 | + | 0.282842i | \(0.0912772\pi\) | |||||||
\(510\) | 7.68198 | − | 1.58261i | 0.340164 | − | 0.0700790i | ||||
\(511\) | −0.250508 | − | 0.389799i | −0.0110818 | − | 0.0172437i | ||||
\(512\) | −20.8113 | + | 1.48845i | −0.919737 | + | 0.0657809i | ||||
\(513\) | 21.2641 | − | 15.9181i | 0.938833 | − | 0.702802i | ||||
\(514\) | 11.8152 | + | 40.2387i | 0.521144 | + | 1.77485i | ||||
\(515\) | 17.1164 | + | 32.1851i | 0.754240 | + | 1.41825i | ||||
\(516\) | −13.5416 | + | 1.94698i | −0.596134 | + | 0.0857112i | ||||
\(517\) | 3.57807 | + | 1.33455i | 0.157363 | + | 0.0586935i | ||||
\(518\) | −1.92890 | − | 0.719443i | −0.0847511 | − | 0.0316105i | ||||
\(519\) | 3.38176 | − | 0.486223i | 0.148443 | − | 0.0213428i | ||||
\(520\) | −4.95647 | + | 16.2165i | −0.217355 | + | 0.711142i | ||||
\(521\) | −0.606315 | − | 2.06492i | −0.0265632 | − | 0.0904658i | 0.945145 | − | 0.326652i | \(-0.105921\pi\) |
−0.971708 | + | 0.236186i | \(0.924102\pi\) | |||||||
\(522\) | 0.318685 | − | 0.238564i | 0.0139485 | − | 0.0104417i | ||||
\(523\) | 34.5049 | − | 2.46784i | 1.50879 | − | 0.107911i | 0.707728 | − | 0.706485i | \(-0.249720\pi\) |
0.801067 | + | 0.598574i | \(0.204266\pi\) | |||||||
\(524\) | −6.54689 | − | 10.1872i | −0.286002 | − | 0.445028i | ||||
\(525\) | −1.86988 | + | 5.88493i | −0.0816083 | + | 0.256839i | ||||
\(526\) | 4.15416 | − | 14.1478i | 0.181130 | − | 0.616872i | ||||
\(527\) | −2.76413 | − | 7.41091i | −0.120407 | − | 0.322824i | ||||
\(528\) | 5.83557 | + | 5.83557i | 0.253961 | + | 0.253961i | ||||
\(529\) | 15.6058 | − | 16.8955i | 0.678514 | − | 0.734588i | ||||
\(530\) | −0.764245 | − | 2.71310i | −0.0331967 | − | 0.117849i | ||||
\(531\) | 0.467436 | − | 1.02354i | 0.0202850 | − | 0.0444179i | ||||
\(532\) | 4.80938 | + | 8.80772i | 0.208513 | + | 0.381863i | ||||
\(533\) | −55.9564 | − | 4.00208i | −2.42374 | − | 0.173349i | ||||
\(534\) | −3.62629 | + | 2.33048i | −0.156925 | + | 0.100850i | ||||
\(535\) | −3.63442 | − | 10.0824i | −0.157130 | − | 0.435901i | ||||
\(536\) | −12.3281 | − | 1.77251i | −0.532491 | − | 0.0765607i | ||||
\(537\) | 7.94320 | + | 4.33732i | 0.342775 | + | 0.187169i | ||||
\(538\) | 15.2263 | − | 3.31228i | 0.656453 | − | 0.142803i | ||||
\(539\) | 2.30615 | + | 16.0397i | 0.0993331 | + | 0.690877i | ||||
\(540\) | −32.3970 | − | 2.67643i | −1.39415 | − | 0.115175i | ||||
\(541\) | 3.27868 | + | 7.17931i | 0.140962 | + | 0.308663i | 0.966925 | − | 0.255061i | \(-0.0820956\pi\) |
−0.825963 | + | 0.563724i | \(0.809368\pi\) | |||||||
\(542\) | 2.31920 | − | 3.09809i | 0.0996183 | − | 0.133074i | ||||
\(543\) | 2.55677 | + | 11.7533i | 0.109721 | + | 0.504381i | ||||
\(544\) | 6.80714 | − | 1.99876i | 0.291854 | − | 0.0856960i | ||||
\(545\) | 0.385247 | + | 2.90662i | 0.0165022 | + | 0.124506i | ||||
\(546\) | 9.44275 | + | 8.18219i | 0.404112 | + | 0.350165i | ||||
\(547\) | −2.63697 | − | 0.573637i | −0.112748 | − | 0.0245269i | 0.155837 | − | 0.987783i | \(-0.450193\pi\) |
−0.268585 | + | 0.963256i | \(0.586556\pi\) | |||||||
\(548\) | −0.283450 | + | 3.96315i | −0.0121084 | + | 0.169297i | ||||
\(549\) | −1.00782 | − | 0.295924i | −0.0430129 | − | 0.0126297i | ||||
\(550\) | 21.4749 | + | 16.8274i | 0.915692 | + | 0.717523i | ||||
\(551\) | − | 8.31195i | − | 0.354101i | ||||||
\(552\) | −5.33921 | − | 12.2000i | −0.227252 | − | 0.519265i | ||||
\(553\) | −7.02269 | + | 7.02269i | −0.298635 | + | 0.298635i | ||||
\(554\) | 18.3503 | + | 8.38030i | 0.779629 | + | 0.356045i | ||||
\(555\) | 0.0544957 | − | 4.94205i | 0.00231321 | − | 0.209778i | ||||
\(556\) | −20.8085 | − | 24.0143i | −0.882478 | − | 1.01843i | ||||
\(557\) | 5.77671 | − | 26.5551i | 0.244767 | − | 1.12518i | −0.676560 | − | 0.736388i | \(-0.736530\pi\) |
0.921327 | − | 0.388789i | \(-0.127106\pi\) | |||||||
\(558\) | 0.143389 | + | 2.00485i | 0.00607016 | + | 0.0848719i | ||||
\(559\) | 1.93383 | − | 13.4501i | 0.0817924 | − | 0.568879i | ||||
\(560\) | −0.703487 | + | 3.07048i | −0.0297278 | + | 0.129751i | ||||
\(561\) | −3.39001 | − | 2.17863i | −0.143126 | − | 0.0919818i | ||||
\(562\) | −17.8741 | − | 13.3804i | −0.753974 | − | 0.564418i | ||||
\(563\) | 2.75729 | − | 7.39259i | 0.116206 | − | 0.311560i | −0.865806 | − | 0.500380i | \(-0.833194\pi\) |
0.982012 | + | 0.188820i | \(0.0604662\pi\) | |||||||
\(564\) | 6.48473 | − | 2.96148i | 0.273056 | − | 0.124701i | ||||
\(565\) | 14.0182 | − | 36.3550i | 0.589752 | − | 1.52946i | ||||
\(566\) | 19.3962 | − | 30.1811i | 0.815284 | − | 1.26861i | ||||
\(567\) | −3.01402 | + | 5.51977i | −0.126577 | + | 0.231809i | ||||
\(568\) | 2.59658 | + | 3.46862i | 0.108950 | + | 0.145540i | ||||
\(569\) | 6.22934 | − | 7.18904i | 0.261148 | − | 0.301380i | −0.610000 | − | 0.792401i | \(-0.708831\pi\) |
0.871148 | + | 0.491021i | \(0.163376\pi\) | |||||||
\(570\) | −27.5977 | + | 31.1487i | −1.15594 | + | 1.30468i | ||||
\(571\) | 4.67314 | − | 4.04930i | 0.195565 | − | 0.169458i | −0.551574 | − | 0.834126i | \(-0.685973\pi\) |
0.747139 | + | 0.664668i | \(0.231427\pi\) | |||||||
\(572\) | 28.0493 | − | 15.3161i | 1.17280 | − | 0.640397i | ||||
\(573\) | 1.43274 | − | 0.534384i | 0.0598535 | − | 0.0223242i | ||||
\(574\) | 19.1330 | 0.798598 | ||||||||
\(575\) | 12.1900 | + | 20.6496i | 0.508357 | + | 0.861146i | ||||
\(576\) | −1.37468 | −0.0572785 | ||||||||
\(577\) | 29.2746 | − | 10.9189i | 1.21872 | − | 0.454558i | 0.343898 | − | 0.939007i | \(-0.388253\pi\) |
0.874820 | + | 0.484449i | \(0.160980\pi\) | |||||||
\(578\) | 30.8023 | − | 16.8193i | 1.28121 | − | 0.699592i | ||||
\(579\) | 0.463734 | − | 0.401828i | 0.0192721 | − | 0.0166994i | ||||
\(580\) | −6.74584 | + | 7.61384i | −0.280106 | + | 0.316147i | ||||
\(581\) | 6.51418 | − | 7.51776i | 0.270254 | − | 0.311889i | ||||
\(582\) | −36.5376 | − | 48.8085i | −1.51453 | − | 2.02318i | ||||
\(583\) | −0.694037 | + | 1.27103i | −0.0287441 | + | 0.0526409i | ||||
\(584\) | −0.563265 | + | 0.876457i | −0.0233081 | + | 0.0362680i | ||||
\(585\) | 0.412315 | − | 1.06930i | 0.0170471 | − | 0.0442101i | ||||
\(586\) | −53.5681 | + | 24.4637i | −2.21288 | + | 1.01059i | ||||
\(587\) | −2.43684 | + | 6.53342i | −0.100579 | + | 0.269663i | −0.977487 | − | 0.210995i | \(-0.932330\pi\) |
0.876908 | + | 0.480658i | \(0.159602\pi\) | |||||||
\(588\) | 24.2167 | + | 18.1284i | 0.998682 | + | 0.747604i | ||||
\(589\) | 35.3054 | + | 22.6894i | 1.45473 | + | 0.934901i | ||||
\(590\) | −11.0921 | + | 48.4133i | −0.456656 | + | 1.99315i | ||||
\(591\) | 3.23912 | − | 22.5286i | 0.133240 | − | 0.926703i | ||||
\(592\) | −0.179867 | − | 2.51486i | −0.00739247 | − | 0.103360i | ||||
\(593\) | 2.21822 | − | 10.1970i | 0.0910914 | − | 0.418741i | −0.908907 | − | 0.416999i | \(-0.863082\pi\) |
0.999998 | − | 0.00174180i | \(-0.000554432\pi\) | |||||||
\(594\) | 18.8928 | + | 21.8035i | 0.775183 | + | 0.894609i | ||||
\(595\) | 0.0169598 | − | 1.53803i | 0.000695284 | − | 0.0630532i | ||||
\(596\) | 26.2898 | + | 12.0061i | 1.07687 | + | 0.491791i | ||||
\(597\) | 16.3554 | − | 16.3554i | 0.669381 | − | 0.669381i | ||||
\(598\) | 48.1304 | − | 6.14222i | 1.96820 | − | 0.251174i | ||||
\(599\) | 13.0622i | 0.533708i | 0.963737 | + | 0.266854i | \(0.0859841\pi\) | ||||
−0.963737 | + | 0.266854i | \(0.914016\pi\) | |||||||
\(600\) | 13.7830 | − | 1.67239i | 0.562688 | − | 0.0682748i | ||||
\(601\) | −17.2325 | − | 5.05991i | −0.702928 | − | 0.206398i | −0.0893127 | − | 0.996004i | \(-0.528467\pi\) |
−0.613615 | + | 0.789605i | \(0.710285\pi\) | |||||||
\(602\) | −0.330616 | + | 4.62261i | −0.0134749 | + | 0.188404i | ||||
\(603\) | 0.822519 | + | 0.178928i | 0.0334956 | + | 0.00728652i | ||||
\(604\) | 3.07187 | + | 2.66179i | 0.124993 | + | 0.108307i | ||||
\(605\) | 1.39008 | + | 10.4879i | 0.0565148 | + | 0.426394i | ||||
\(606\) | 64.1766 | − | 18.8440i | 2.60700 | − | 0.765483i | ||||
\(607\) | −0.429041 | − | 1.97227i | −0.0174142 | − | 0.0800519i | 0.967620 | − | 0.252413i | \(-0.0812241\pi\) |
−0.985034 | + | 0.172361i | \(0.944860\pi\) | |||||||
\(608\) | −22.5585 | + | 30.1346i | −0.914868 | + | 1.22212i | ||||
\(609\) | 0.848816 | + | 1.85865i | 0.0343957 | + | 0.0753162i | ||||
\(610\) | 46.2063 | + | 3.81726i | 1.87084 | + | 0.154556i | ||||
\(611\) | 1.00770 | + | 7.00874i | 0.0407674 | + | 0.283543i | ||||
\(612\) | 0.280845 | − | 0.0610942i | 0.0113525 | − | 0.00246959i | ||||
\(613\) | −6.14769 | − | 3.35689i | −0.248303 | − | 0.135584i | 0.350279 | − | 0.936646i | \(-0.386087\pi\) |
−0.598581 | + | 0.801062i | \(0.704269\pi\) | |||||||
\(614\) | −31.8342 | − | 4.57706i | −1.28472 | − | 0.184715i | ||||
\(615\) | 15.5764 | + | 43.2112i | 0.628100 | + | 1.74244i | ||||
\(616\) | −2.49965 | + | 1.60643i | −0.100714 | + | 0.0647249i | ||||
\(617\) | 6.89303 | + | 0.492999i | 0.277503 | + | 0.0198474i | 0.209397 | − | 0.977831i | \(-0.432850\pi\) |
0.0681059 | + | 0.997678i | \(0.478304\pi\) | |||||||
\(618\) | −28.9441 | − | 53.0071i | −1.16430 | − | 2.13226i | ||||
\(619\) | 8.87920 | − | 19.4427i | 0.356885 | − | 0.781469i | −0.642993 | − | 0.765872i | \(-0.722308\pi\) |
0.999878 | − | 0.0155976i | \(-0.00496506\pi\) | |||||||
\(620\) | −13.9258 | − | 49.4370i | −0.559273 | − | 1.98544i | ||||
\(621\) | 8.48325 | + | 23.8959i | 0.340421 | + | 0.958911i | ||||
\(622\) | −14.7377 | − | 14.7377i | −0.590929 | − | 0.590929i | ||||
\(623\) | 0.295414 | + | 0.792036i | 0.0118355 | + | 0.0317323i | ||||
\(624\) | −4.31108 | + | 14.6822i | −0.172581 | + | 0.587758i | ||||
\(625\) | −24.2745 | + | 5.97882i | −0.970982 | + | 0.239153i | ||||
\(626\) | 1.57924 | + | 2.45734i | 0.0631190 | + | 0.0982151i | ||||
\(627\) | 21.3268 | − | 1.52532i | 0.851711 | − | 0.0609155i | ||||
\(628\) | 45.2897 | − | 33.9035i | 1.80726 | − | 1.35290i | ||||
\(629\) | 0.346845 | + | 1.18125i | 0.0138296 | + | 0.0470993i | ||||
\(630\) | −0.114248 | + | 0.373794i | −0.00455174 | + | 0.0148923i | ||||
\(631\) | 13.1874 | − | 1.89606i | 0.524981 | − | 0.0754809i | 0.125271 | − | 0.992123i | \(-0.460020\pi\) |
0.399710 | + | 0.916642i | \(0.369111\pi\) | |||||||
\(632\) | 20.9230 | + | 7.80389i | 0.832274 | + | 0.310422i | ||||
\(633\) | −20.0974 | − | 7.49595i | −0.798801 | − | 0.297937i | ||||
\(634\) | −11.5252 | + | 1.65707i | −0.457724 | + | 0.0658107i | ||||
\(635\) | −5.01983 | − | 9.43911i | −0.199206 | − | 0.374580i | ||||
\(636\) | 0.761645 | + | 2.59392i | 0.0302012 | + | 0.102856i | ||||
\(637\) | −24.0532 | + | 18.0060i | −0.953022 | + | 0.713423i | ||||
\(638\) | 9.00492 | − | 0.644045i | 0.356508 | − | 0.0254980i | ||||
\(639\) | −0.158318 | − | 0.246348i | −0.00626297 | − | 0.00974537i | ||||
\(640\) | 26.6105 | − | 5.48218i | 1.05187 | − | 0.216702i | ||||
\(641\) | −4.71759 | + | 16.0666i | −0.186333 | + | 0.634594i | 0.812344 | + | 0.583179i | \(0.198191\pi\) |
−0.998677 | + | 0.0514149i | \(0.983627\pi\) | |||||||
\(642\) | 6.20518 | + | 16.6367i | 0.244899 | + | 0.656600i | ||||
\(643\) | −18.4910 | − | 18.4910i | −0.729215 | − | 0.729215i | 0.241248 | − | 0.970463i | \(-0.422443\pi\) |
−0.970463 | + | 0.241248i | \(0.922443\pi\) | |||||||
\(644\) | −9.39217 | + | 1.88756i | −0.370103 | + | 0.0743803i | ||||
\(645\) | −10.7091 | + | 3.01663i | −0.421672 | + | 0.118780i | ||||
\(646\) | 4.30631 | − | 9.42951i | 0.169430 | − | 0.370999i | ||||
\(647\) | −20.3010 | − | 37.1786i | −0.798116 | − | 1.46164i | −0.885085 | − | 0.465430i | \(-0.845900\pi\) |
0.0869688 | − | 0.996211i | \(-0.472282\pi\) | |||||||
\(648\) | 14.1048 | + | 1.00880i | 0.554090 | + | 0.0396293i | ||||
\(649\) | 21.4673 | − | 13.7962i | 0.842664 | − | 0.541547i | ||||
\(650\) | −8.30158 | + | 49.9006i | −0.325615 | + | 1.95726i | ||||
\(651\) | −10.2117 | − | 1.46823i | −0.400230 | − | 0.0575443i | ||||
\(652\) | 22.6962 | + | 12.3930i | 0.888851 | + | 0.485349i | ||||
\(653\) | −11.4552 | + | 2.49193i | −0.448277 | + | 0.0975166i | −0.431036 | − | 0.902335i | \(-0.641852\pi\) |
−0.0172406 | + | 0.999851i | \(0.505488\pi\) | |||||||
\(654\) | −0.691322 | − | 4.80825i | −0.0270328 | − | 0.188017i | ||||
\(655\) | −6.36663 | − | 7.51330i | −0.248765 | − | 0.293569i | ||||
\(656\) | 9.73408 | + | 21.3147i | 0.380052 | + | 0.832198i | ||||
\(657\) | 0.0421969 | − | 0.0563684i | 0.00164626 | − | 0.00219914i | ||||
\(658\) | −0.513337 | − | 2.35977i | −0.0200119 | − | 0.0919934i | ||||
\(659\) | −16.0097 | + | 4.70088i | −0.623651 | + | 0.183120i | −0.578265 | − | 0.815849i | \(-0.696270\pi\) |
−0.0453861 | + | 0.998970i | \(0.514452\pi\) | |||||||
\(660\) | −20.7735 | − | 15.9113i | −0.808608 | − | 0.619345i | ||||
\(661\) | 25.5413 | + | 22.1316i | 0.993441 | + | 0.860821i | 0.990268 | − | 0.139174i | \(-0.0444446\pi\) |
0.00317269 | + | 0.999995i | \(0.498990\pi\) | |||||||
\(662\) | −73.2250 | − | 15.9291i | −2.84597 | − | 0.619103i | ||||
\(663\) | 0.533032 | − | 7.45276i | 0.0207012 | − | 0.289441i | ||||
\(664\) | −21.4607 | − | 6.30142i | −0.832835 | − | 0.244542i | ||||
\(665\) | 4.81846 | + | 6.58686i | 0.186852 | + | 0.255428i | ||||
\(666\) | − | 0.312847i | − | 0.0121226i | ||||||
\(667\) | 7.57700 | + | 2.35604i | 0.293382 | + | 0.0912262i | ||||
\(668\) | −14.4640 | + | 14.4640i | −0.559627 | + | 0.559627i | ||||
\(669\) | 3.00084 | + | 1.37044i | 0.116019 | + | 0.0529841i | ||||
\(670\) | −37.1531 | − | 0.409685i | −1.43535 | − | 0.0158275i | ||||
\(671\) | −15.5992 | − | 18.0024i | −0.602200 | − | 0.694976i | ||||
\(672\) | 1.96699 | − | 9.04212i | 0.0758784 | − | 0.348807i | ||||
\(673\) | 0.503651 | + | 7.04195i | 0.0194143 | + | 0.271447i | 0.997882 | + | 0.0650480i | \(0.0207201\pi\) |
−0.978468 | + | 0.206399i | \(0.933825\pi\) | |||||||
\(674\) | −4.64147 | + | 32.2821i | −0.178783 | + | 1.24346i | ||||
\(675\) | −26.4044 | + | 1.30403i | −1.01631 | + | 0.0501922i | ||||
\(676\) | 19.7799 | + | 12.7118i | 0.760767 | + | 0.488915i | ||||
\(677\) | −4.81352 | − | 3.60336i | −0.184999 | − | 0.138488i | 0.502764 | − | 0.864423i | \(-0.332316\pi\) |
−0.687763 | + | 0.725935i | \(0.741407\pi\) | |||||||
\(678\) | −22.5593 | + | 60.4839i | −0.866386 | + | 2.32287i | ||||
\(679\) | −10.8760 | + | 4.96691i | −0.417383 | + | 0.190613i | ||||
\(680\) | −3.16157 | + | 1.40192i | −0.121241 | + | 0.0537611i | ||||
\(681\) | 7.35319 | − | 11.4418i | 0.281775 | − | 0.438450i | ||||
\(682\) | −21.8454 | + | 40.0069i | −0.836505 | + | 1.53194i | ||||
\(683\) | 18.9555 | + | 25.3215i | 0.725310 | + | 0.968901i | 0.999973 | + | 0.00736044i | \(0.00234292\pi\) |
−0.274663 | + | 0.961541i | \(0.588566\pi\) | |||||||
\(684\) | −0.998656 | + | 1.15251i | −0.0381845 | + | 0.0440673i | ||||
\(685\) | 0.194963 | + | 3.22537i | 0.00744917 | + | 0.123235i | ||||
\(686\) | 16.1206 | − | 13.9686i | 0.615486 | − | 0.533322i | ||||
\(687\) | 35.2480 | − | 19.2469i | 1.34480 | − | 0.734314i | ||||
\(688\) | −5.31790 | + | 1.98348i | −0.202743 | + | 0.0756193i | ||||
\(689\) | −2.68517 | −0.102297 | ||||||||
\(690\) | −20.5719 | − | 33.9866i | −0.783158 | − | 1.29385i | ||||
\(691\) | 3.74985 | 0.142651 | 0.0713254 | − | 0.997453i | \(-0.477277\pi\) | ||||
0.0713254 | + | 0.997453i | \(0.477277\pi\) | |||||||
\(692\) | −5.17780 | + | 1.93122i | −0.196830 | + | 0.0734139i | ||||
\(693\) | 0.176253 | − | 0.0962415i | 0.00669531 | − | 0.00365591i | ||||
\(694\) | −36.7018 | + | 31.8023i | −1.39318 | + | 1.20720i | ||||
\(695\) | −19.3418 | − | 17.1368i | −0.733677 | − | 0.650036i | ||||
\(696\) | 3.00864 | − | 3.47216i | 0.114042 | − | 0.131612i | ||||
\(697\) | −6.85673 | − | 9.15952i | −0.259717 | − | 0.346941i | ||||
\(698\) | 22.6775 | − | 41.5307i | 0.858355 | − | 1.57196i | ||||
\(699\) | −15.3149 | + | 23.8304i | −0.579263 | + | 0.901350i | ||||
\(700\) | 0.932030 | − | 9.94422i | 0.0352274 | − | 0.375856i | ||||
\(701\) | −44.6501 | + | 20.3910i | −1.68641 | + | 0.770158i | −0.687373 | + | 0.726304i | \(0.741236\pi\) |
−0.999038 | + | 0.0438537i | \(0.986036\pi\) | |||||||
\(702\) | −18.6940 | + | 50.1205i | −0.705559 | + | 1.89168i | ||||
\(703\) | −5.22927 | − | 3.91459i | −0.197226 | − | 0.147641i | ||||
\(704\) | −26.2265 | − | 16.8547i | −0.988448 | − | 0.635237i | ||||
\(705\) | 4.91153 | − | 3.08046i | 0.184979 | − | 0.116017i | ||||
\(706\) | −6.39749 | + | 44.4955i | −0.240773 | + | 1.67461i | ||||
\(707\) | −0.935742 | − | 13.0834i | −0.0351922 | − | 0.492051i | ||||
\(708\) | 10.1260 | − | 46.5483i | 0.380557 | − | 1.74939i | ||||
\(709\) | −22.7950 | − | 26.3069i | −0.856085 | − | 0.987975i | 0.143914 | − | 0.989590i | \(-0.454031\pi\) |
−0.999999 | + | 0.00161551i | \(0.999486\pi\) | |||||||
\(710\) | 9.03857 | + | 9.24013i | 0.339211 | + | 0.346776i | ||||
\(711\) | −1.37285 | − | 0.626959i | −0.0514859 | − | 0.0235128i | ||||
\(712\) | 1.34402 | − | 1.34402i | 0.0503691 | − | 0.0503691i | ||||
\(713\) | −30.6906 | + | 25.7523i | −1.14937 | + | 0.964431i | ||||
\(714\) | 2.54831i | 0.0953680i | ||||||||
\(715\) | 20.9767 | − | 15.3450i | 0.784484 | − | 0.573870i | ||||
\(716\) | −14.0458 | − | 4.12421i | −0.524914 | − | 0.154129i | ||||
\(717\) | 1.98352 | − | 27.7333i | 0.0740760 | − | 1.03572i | ||||
\(718\) | −49.6621 | − | 10.8033i | −1.85337 | − | 0.403177i | ||||
\(719\) | −10.9488 | − | 9.48719i | −0.408321 | − | 0.353812i | 0.426352 | − | 0.904557i | \(-0.359798\pi\) |
−0.834674 | + | 0.550745i | \(0.814344\pi\) | |||||||
\(720\) | −0.474540 | + | 0.0628961i | −0.0176851 | + | 0.00234400i | ||||
\(721\) | −11.3641 | + | 3.33679i | −0.423219 | + | 0.124268i | ||||
\(722\) | 2.88981 | + | 13.2843i | 0.107548 | + | 0.494389i | ||||
\(723\) | −25.9522 | + | 34.6681i | −0.965175 | + | 1.28932i | ||||
\(724\) | −8.08210 | − | 17.6973i | −0.300369 | − | 0.657716i | ||||
\(725\) | −4.62491 | + | 6.85908i | −0.171765 | + | 0.254740i | ||||
\(726\) | −2.49448 | − | 17.3495i | −0.0925790 | − | 0.643901i | ||||
\(727\) | −27.7101 | + | 6.02797i | −1.02771 | + | 0.223565i | −0.694656 | − | 0.719342i | \(-0.744443\pi\) |
−0.333056 | + | 0.942907i | \(0.608080\pi\) | |||||||
\(728\) | −4.83548 | − | 2.64037i | −0.179215 | − | 0.0978586i | ||||
\(729\) | −27.6350 | − | 3.97331i | −1.02352 | − | 0.147160i | ||||
\(730\) | −1.32222 | + | 2.81277i | −0.0489376 | + | 0.104105i | ||||
\(731\) | 2.33146 | − | 1.49834i | 0.0862320 | − | 0.0554179i | ||||
\(732\) | −44.3547 | − | 3.17231i | −1.63940 | − | 0.117252i | ||||
\(733\) | −3.73075 | − | 6.83235i | −0.137798 | − | 0.252359i | 0.799662 | − | 0.600450i | \(-0.205012\pi\) |
−0.937461 | + | 0.348091i | \(0.886830\pi\) | |||||||
\(734\) | 24.1401 | − | 52.8595i | 0.891028 | − | 1.95108i | ||||
\(735\) | 21.4606 | + | 12.0274i | 0.791586 | + | 0.443638i | ||||
\(736\) | −21.0758 | − | 29.1056i | −0.776865 | − | 1.07285i | ||||
\(737\) | 13.4984 | + | 13.4984i | 0.497219 | + | 0.497219i | ||||
\(738\) | 1.01607 | + | 2.72420i | 0.0374022 | + | 0.100279i | ||||
\(739\) | −1.97149 | + | 6.71426i | −0.0725223 | + | 0.246988i | −0.987774 | − | 0.155895i | \(-0.950174\pi\) |
0.915251 | + | 0.402883i | \(0.131992\pi\) | |||||||
\(740\) | 1.61306 | + | 7.82980i | 0.0592973 | + | 0.287829i | ||||
\(741\) | 21.4335 | + | 33.3512i | 0.787379 | + | 1.22519i | ||||
\(742\) | 0.913463 | − | 0.0653322i | 0.0335343 | − | 0.00239842i | ||||
\(743\) | 13.5563 | − | 10.1481i | 0.497334 | − | 0.372299i | −0.320966 | − | 0.947091i | \(-0.604008\pi\) |
0.818300 | + | 0.574791i | \(0.194917\pi\) | |||||||
\(744\) | 6.53537 | + | 22.2574i | 0.239598 | + | 0.815997i | ||||
\(745\) | 22.4777 | + | 6.87014i | 0.823518 | + | 0.251703i | ||||
\(746\) | 21.7437 | − | 3.12627i | 0.796094 | − | 0.114461i | ||||
\(747\) | 1.41633 | + | 0.528265i | 0.0518210 | + | 0.0193282i | ||||
\(748\) | 6.10709 | + | 2.27783i | 0.223297 | + | 0.0832855i | ||||
\(749\) | 3.44669 | − | 0.495558i | 0.125939 | − | 0.0181073i | ||||
\(750\) | 40.1055 | − | 10.3483i | 1.46444 | − | 0.377867i | ||||
\(751\) | 2.63840 | + | 8.98556i | 0.0962766 | + | 0.327888i | 0.993521 | − | 0.113646i | \(-0.0362528\pi\) |
−0.897245 | + | 0.441533i | \(0.854435\pi\) | |||||||
\(752\) | 2.36767 | − | 1.77242i | 0.0863402 | − | 0.0646335i | ||||
\(753\) | 13.9343 | − | 0.996598i | 0.507793 | − | 0.0363181i | ||||
\(754\) | 9.04997 | + | 14.0820i | 0.329581 | + | 0.512837i | ||||
\(755\) | 2.76096 | + | 1.81769i | 0.100482 | + | 0.0661524i | ||||
\(756\) | 2.97558 | − | 10.1339i | 0.108221 | − | 0.368567i | ||||
\(757\) | 14.4659 | + | 38.7846i | 0.525773 | + | 1.40965i | 0.880216 | + | 0.474574i | \(0.157398\pi\) |
−0.354443 | + | 0.935078i | \(0.615329\pi\) | |||||||
\(758\) | 21.4474 | + | 21.4474i | 0.779005 | + | 0.779005i | ||||
\(759\) | −4.65468 | + | 19.8734i | −0.168954 | + | 0.721360i | ||||
\(760\) | 8.97138 | − | 16.0077i | 0.325426 | − | 0.580659i | ||||
\(761\) | 9.23382 | − | 20.2192i | 0.334726 | − | 0.732947i | −0.665180 | − | 0.746683i | \(-0.731645\pi\) |
0.999906 | + | 0.0137362i | \(0.00437251\pi\) | |||||||
\(762\) | 8.48860 | + | 15.5457i | 0.307509 | + | 0.563162i | ||||
\(763\) | −0.950200 | − | 0.0679596i | −0.0343995 | − | 0.00246030i | ||||
\(764\) | −2.08076 | + | 1.33722i | −0.0752791 | + | 0.0483789i | ||||
\(765\) | 0.219889 | − | 0.0792635i | 0.00795009 | − | 0.00286578i | ||||
\(766\) | 34.4026 | + | 4.94635i | 1.24302 | + | 0.178719i | ||||
\(767\) | 41.5276 | + | 22.6758i | 1.49947 | + | 0.818774i | ||||
\(768\) | −2.61927 | + | 0.569787i | −0.0945147 | + | 0.0205604i | ||||
\(769\) | −6.77748 | − | 47.1384i | −0.244402 | − | 1.69985i | −0.629518 | − | 0.776986i | \(-0.716748\pi\) |
0.385116 | − | 0.922868i | \(-0.374162\pi\) | |||||||
\(770\) | −6.76266 | + | 5.73055i | −0.243709 | + | 0.206515i | ||||
\(771\) | −13.5887 | − | 29.7550i | −0.489384 | − | 1.07160i | ||||
\(772\) | −0.594788 | + | 0.794544i | −0.0214069 | + | 0.0285963i | ||||
\(773\) | 1.03421 | + | 4.75417i | 0.0371978 | + | 0.170996i | 0.991998 | − | 0.126252i | \(-0.0402949\pi\) |
−0.954800 | + | 0.297248i | \(0.903931\pi\) | |||||||
\(774\) | −0.675735 | + | 0.198414i | −0.0242888 | + | 0.00713183i | ||||
\(775\) | −16.5095 | − | 38.3680i | −0.593039 | − | 1.37822i | ||||
\(776\) | 20.3176 | + | 17.6053i | 0.729360 | + | 0.631994i | ||||
\(777\) | 1.56908 | + | 0.341333i | 0.0562905 | + | 0.0122453i | ||||
\(778\) | −1.37520 | + | 19.2278i | −0.0493033 | + | 0.689350i | ||||
\(779\) | 58.2492 | + | 17.1035i | 2.08699 | + | 0.612797i | ||||
\(780\) | 7.43394 | − | 47.9451i | 0.266178 | − | 1.71671i | ||||
\(781\) | − | 6.64098i | − | 0.237633i | ||||||
\(782\) | 7.37511 | + | 6.59836i | 0.263733 | + | 0.235957i | ||||
\(783\) | −6.18579 | + | 6.18579i | −0.221062 | + | 0.221062i | ||||
\(784\) | 11.4159 | + | 5.21346i | 0.407710 | + | 0.186195i | ||||
\(785\) | 32.8897 | − | 32.1723i | 1.17389 | − | 1.14828i | ||||
\(786\) | 10.6846 | + | 12.3307i | 0.381107 | + | 0.439821i | ||||
\(787\) | −7.17337 | + | 32.9754i | −0.255703 | + | 1.17545i | 0.652787 | + | 0.757541i | \(0.273599\pi\) |
−0.908490 | + | 0.417906i | \(0.862764\pi\) | |||||||
\(788\) | 2.62633 | + | 36.7208i | 0.0935590 | + | 1.30813i | ||||
\(789\) | −1.63678 | + | 11.3840i | −0.0582707 | + | 0.405282i | ||||
\(790\) | 64.9355 | + | 14.8776i | 2.31030 | + | 0.529321i | ||||
\(791\) | 10.6498 | + | 6.84424i | 0.378665 | + | 0.243353i | ||||
\(792\) | −0.361473 | − | 0.270595i | −0.0128444 | − | 0.00961518i | ||||
\(793\) | 15.4350 | − | 41.3828i | 0.548113 | − | 1.46955i | ||||
\(794\) | 50.3381 | − | 22.9887i | 1.78643 | − | 0.815837i | ||||
\(795\) | 0.891208 | + | 2.00983i | 0.0316079 | + | 0.0712813i | ||||
\(796\) | −20.2268 | + | 31.4735i | −0.716920 | + | 1.11555i | ||||
\(797\) | −4.18172 | + | 7.65825i | −0.148124 | + | 0.271269i | −0.941197 | − | 0.337857i | \(-0.890298\pi\) |
0.793073 | + | 0.609126i | \(0.208480\pi\) | |||||||
\(798\) | −8.10288 | − | 10.8242i | −0.286839 | − | 0.383172i | ||||
\(799\) | −0.945722 | + | 1.09142i | −0.0334572 | + | 0.0386117i | ||||
\(800\) | 35.3828 | − | 12.3154i | 1.25097 | − | 0.435414i | ||||
\(801\) | −0.0970835 | + | 0.0841233i | −0.00343028 | + | 0.00297235i | ||||
\(802\) | 40.1367 | − | 21.9163i | 1.41728 | − | 0.773892i | ||||
\(803\) | 1.49616 | − | 0.558039i | 0.0527984 | − | 0.0196928i | ||||
\(804\) | 35.6361 | 1.25679 | ||||||||
\(805\) | −7.37025 | + | 2.52534i | −0.259767 | + | 0.0890066i | ||||
\(806\) | −84.5182 | −2.97703 | ||||||||
\(807\) | −11.3879 | + | 4.24747i | −0.400873 | + | 0.149518i | ||||
\(808\) | −25.8853 | + | 14.1345i | −0.910643 | + | 0.497249i | ||||
\(809\) | 6.86057 | − | 5.94472i | 0.241205 | − | 0.209005i | −0.525866 | − | 0.850567i | \(-0.676259\pi\) |
0.767071 | + | 0.641562i | \(0.221713\pi\) | |||||||
\(810\) | 42.1082 | − | 2.54531i | 1.47953 | − | 0.0894330i | ||||
\(811\) | −12.5909 | + | 14.5307i | −0.442128 | + | 0.510243i | −0.932450 | − | 0.361298i | \(-0.882334\pi\) |
0.490322 | + | 0.871541i | \(0.336879\pi\) | |||||||
\(812\) | −1.98063 | − | 2.64581i | −0.0695064 | − | 0.0928496i | ||||
\(813\) | −1.44665 | + | 2.64935i | −0.0507363 | + | 0.0929166i | ||||
\(814\) | 3.83576 | − | 5.96856i | 0.134443 | − | 0.209198i | ||||
\(815\) | 19.6218 | + | 7.56606i | 0.687323 | + | 0.265027i | ||||
\(816\) | −2.83887 | + | 1.29647i | −0.0993805 | + | 0.0453855i | ||||
\(817\) | −5.13881 | + | 13.7777i | −0.179784 | + | 0.482020i | ||||
\(818\) | 4.69639 | + | 3.51567i | 0.164205 | + | 0.122923i | ||||
\(819\) | 0.313241 | + | 0.201308i | 0.0109455 | + | 0.00703427i | ||||
\(820\) | −39.4760 | − | 62.9411i | −1.37856 | − | 2.19800i | ||||
\(821\) | 5.13943 | − | 35.7455i | 0.179367 | − | 1.24753i | −0.678864 | − | 0.734264i | \(-0.737528\pi\) |
0.858232 | − | 0.513263i | \(-0.171563\pi\) | |||||||
\(822\) | −0.381909 | − | 5.33978i | −0.0133206 | − | 0.186246i | ||||
\(823\) | 2.59695 | − | 11.9380i | 0.0905241 | − | 0.416133i | −0.909476 | − | 0.415757i | \(-0.863517\pi\) |
1.00000 | 0.000375820i | \(-0.000119627\pi\) | ||||||||
\(824\) | 17.4394 | + | 20.1261i | 0.607529 | + | 0.701126i | ||||
\(825\) | −18.4477 | − | 10.6079i | −0.642268 | − | 0.369319i | ||||
\(826\) | −14.6789 | − | 6.70362i | −0.510744 | − | 0.233249i | ||||
\(827\) | 5.51644 | − | 5.51644i | 0.191825 | − | 0.191825i | −0.604659 | − | 0.796484i | \(-0.706691\pi\) |
0.796484 | + | 0.604659i | \(0.206691\pi\) | |||||||
\(828\) | −0.767533 | − | 1.23703i | −0.0266736 | − | 0.0429899i | ||||
\(829\) | − | 10.9025i | − | 0.378659i | −0.981914 | − | 0.189329i | \(-0.939369\pi\) | ||
0.981914 | − | 0.189329i | \(-0.0606314\pi\) | |||||||
\(830\) | −65.9365 | − | 10.2235i | −2.28869 | − | 0.354863i | ||||
\(831\) | −15.0977 | − | 4.43309i | −0.523734 | − | 0.153782i | ||||
\(832\) | 4.12375 | − | 57.6575i | 0.142965 | − | 1.99892i | ||||
\(833\) | −5.98798 | − | 1.30260i | −0.207471 | − | 0.0451326i | ||||
\(834\) | 32.3559 | + | 28.0365i | 1.12039 | + | 0.970826i | ||||
\(835\) | −10.1153 | + | 13.2063i | −0.350053 | + | 0.457024i | ||||
\(836\) | −33.1832 | + | 9.74348i | −1.14767 | + | 0.336985i | ||||
\(837\) | −9.38888 | − | 43.1600i | −0.324527 | − | 1.49183i | ||||
\(838\) | 21.8518 | − | 29.1906i | 0.754858 | − | 1.00837i | ||||
\(839\) | 18.4551 | + | 40.4110i | 0.637141 | + | 1.39514i | 0.902372 | + | 0.430958i | \(0.141824\pi\) |
−0.265231 | + | 0.964185i | \(0.585448\pi\) | |||||||
\(840\) | −0.371402 | + | 4.49565i | −0.0128146 | + | 0.155115i | ||||
\(841\) | −3.73755 | − | 25.9952i | −0.128881 | − | 0.896387i | ||||
\(842\) | −38.6333 | + | 8.40416i | −1.33139 | + | 0.289627i | ||||
\(843\) | 15.2851 | + | 8.34631i | 0.526448 | + | 0.287462i | ||||
\(844\) | 34.3419 | + | 4.93762i | 1.18210 | + | 0.169960i | ||||
\(845\) | 17.3048 | + | 8.13464i | 0.595305 | + | 0.279840i | ||||
\(846\) | 0.308728 | − | 0.198407i | 0.0106143 | − | 0.00682138i | ||||
\(847\) | −3.42859 | − | 0.245218i | −0.117808 | − | 0.00842577i | ||||
\(848\) | 0.537512 | + | 0.984381i | 0.0184583 | + | 0.0338038i | ||||
\(849\) | −11.6247 | + | 25.4546i | −0.398960 | + | 0.873600i | ||||
\(850\) | −8.80034 | + | 5.38519i | −0.301849 | + | 0.184711i | ||||
\(851\) | 5.05070 | − | 3.65730i | 0.173136 | − | 0.125371i | ||||
\(852\) | −8.76619 | − | 8.76619i | −0.300325 | − | 0.300325i | ||||
\(853\) | −3.80956 | − | 10.2138i | −0.130437 | − | 0.349714i | 0.855271 | − | 0.518182i | \(-0.173391\pi\) |
−0.985707 | + | 0.168467i | \(0.946118\pi\) | |||||||
\(854\) | −4.24393 | + | 14.4535i | −0.145224 | + | 0.494588i | ||||
\(855\) | −0.681963 | + | 1.03586i | −0.0233226 | + | 0.0354257i | ||||
\(856\) | −4.23296 | − | 6.58661i | −0.144680 | − | 0.225126i | ||||
\(857\) | 4.23745 | − | 0.303069i | 0.144749 | − | 0.0103526i | 0.00122315 | − | 0.999999i | \(-0.499611\pi\) |
0.143525 | + | 0.989647i | \(0.454156\pi\) | |||||||
\(858\) | −34.4709 | + | 25.8046i | −1.17682 | + | 0.880955i | ||||
\(859\) | −4.08771 | − | 13.9215i | −0.139471 | − | 0.474994i | 0.859900 | − | 0.510463i | \(-0.170526\pi\) |
−0.999371 | + | 0.0354684i | \(0.988708\pi\) | |||||||
\(860\) | 15.8889 | − | 8.44993i | 0.541808 | − | 0.288140i | ||||
\(861\) | −14.7718 | + | 2.12386i | −0.503422 | + | 0.0723811i | ||||
\(862\) | 27.4256 | + | 10.2292i | 0.934121 | + | 0.348409i | ||||
\(863\) | 33.1146 | + | 12.3511i | 1.12723 | + | 0.420436i | 0.842782 | − | 0.538255i | \(-0.180916\pi\) |
0.284450 | + | 0.958691i | \(0.408189\pi\) | |||||||
\(864\) | 39.2144 | − | 5.63818i | 1.33410 | − | 0.191815i | ||||
\(865\) | −3.96797 | + | 2.11021i | −0.134915 | + | 0.0717494i | ||||
\(866\) | 19.2445 | + | 65.5409i | 0.653956 | + | 2.22717i | ||||
\(867\) | −21.9141 | + | 16.4047i | −0.744241 | + | 0.557132i | ||||
\(868\) | 16.6448 | − | 1.19046i | 0.564961 | − | 0.0404068i | ||||
\(869\) | −18.5044 | − | 28.7935i | −0.627720 | − | 0.976752i | ||||
\(870\) | 7.53660 | − | 11.4477i | 0.255515 | − | 0.388112i | ||||
\(871\) | −9.97204 | + | 33.9617i | −0.337890 | + | 1.15075i | ||||
\(872\) | 0.748541 | + | 2.00692i | 0.0253488 | + | 0.0679628i | ||||
\(873\) | −1.28478 | − | 1.28478i | −0.0434832 | − | 0.0434832i | ||||
\(874\) | −52.3073 | − | 4.57646i | −1.76932 | − | 0.154801i | ||||
\(875\) | −0.311183 | − | 8.11660i | −0.0105199 | − | 0.274391i | ||||
\(876\) | 1.23834 | − | 2.71158i | 0.0418395 | − | 0.0916157i | ||||
\(877\) | 11.9020 | + | 21.7968i | 0.401901 | + | 0.736026i | 0.997748 | − | 0.0670715i | \(-0.0213656\pi\) |
−0.595848 | + | 0.803098i | \(0.703184\pi\) | |||||||
\(878\) | −39.7385 | − | 2.84215i | −1.34111 | − | 0.0959179i | ||||
\(879\) | 38.6420 | − | 24.8337i | 1.30336 | − | 0.837621i | ||||
\(880\) | −9.82452 | − | 4.61830i | −0.331185 | − | 0.155683i | ||||
\(881\) | −53.9713 | − | 7.75990i | −1.81834 | − | 0.261438i | −0.852902 | − | 0.522071i | \(-0.825160\pi\) |
−0.965438 | + | 0.260633i | \(0.916069\pi\) | |||||||
\(882\) | 1.36675 | + | 0.746304i | 0.0460210 | + | 0.0251293i | ||||
\(883\) | 5.01684 | − | 1.09135i | 0.168830 | − | 0.0367267i | −0.127356 | − | 0.991857i | \(-0.540649\pi\) |
0.296186 | + | 0.955130i | \(0.404285\pi\) | |||||||
\(884\) | 1.71996 | + | 11.9626i | 0.0578485 | + | 0.402345i | ||||
\(885\) | 3.18964 | − | 38.6091i | 0.107218 | − | 1.29783i | ||||
\(886\) | −21.0558 | − | 46.1058i | −0.707384 | − | 1.54896i | ||||
\(887\) | 4.79490 | − | 6.40524i | 0.160997 | − | 0.215067i | −0.712788 | − | 0.701380i | \(-0.752568\pi\) |
0.873785 | + | 0.486313i | \(0.161659\pi\) | |||||||
\(888\) | −0.767483 | − | 3.52806i | −0.0257550 | − | 0.118394i | ||||
\(889\) | 3.33280 | − | 0.978599i | 0.111779 | − | 0.0328211i | ||||
\(890\) | 3.44790 | − | 4.50153i | 0.115574 | − | 0.150892i | ||||
\(891\) | −16.3799 | − | 14.1933i | −0.548749 | − | 0.475494i | ||||
\(892\) | −5.21411 | − | 1.13426i | −0.174581 | − | 0.0379778i | ||||
\(893\) | 0.546641 | − | 7.64303i | 0.0182926 | − | 0.255764i | ||||
\(894\) | −37.3634 | − | 10.9709i | −1.24962 | − | 0.366921i | ||||
\(895\) | −11.7643 | − | 1.82407i | −0.393239 | − | 0.0609721i | ||||
\(896\) | 8.82739i | 0.294902i | ||||||||
\(897\) | −36.4776 | + | 10.0849i | −1.21795 | + | 0.336724i | ||||
\(898\) | 62.6047 | − | 62.6047i | 2.08915 | − | 2.08915i | ||||
\(899\) | −12.5726 | − | 5.74173i | −0.419321 | − | 0.191498i | ||||
\(900\) | 1.46537 | − | 0.395391i | 0.0488458 | − | 0.0131797i | ||||
\(901\) | −0.358635 | − | 0.413887i | −0.0119479 | − | 0.0137886i | ||||
\(902\) | −14.0160 | + | 64.4307i | −0.466683 | + | 2.14531i | ||||
\(903\) | −0.257879 | − | 3.60562i | −0.00858168 | − | 0.119988i | ||||
\(904\) | 4.05095 | − | 28.1750i | 0.134733 | − | 0.937086i | ||||
\(905\) | −8.40681 | − | 13.4039i | −0.279452 | − | 0.445562i | ||||
\(906\) | −4.60718 | − | 2.96086i | −0.153063 | − | 0.0983678i | ||||
\(907\) | 33.9238 | + | 25.3951i | 1.12642 | + | 0.843229i | 0.989092 | − | 0.147296i | \(-0.0470570\pi\) |
0.137330 | + | 0.990525i | \(0.456148\pi\) | |||||||
\(908\) | −7.68799 | + | 20.6123i | −0.255135 | + | 0.684043i | ||||
\(909\) | 1.81314 | − | 0.828035i | 0.0601382 | − | 0.0274642i | ||||
\(910\) | −15.3351 | − | 5.91312i | −0.508354 | − | 0.196018i | ||||
\(911\) | −7.22469 | + | 11.2418i | −0.239365 | + | 0.372459i | −0.940064 | − | 0.340998i | \(-0.889235\pi\) |
0.700699 | + | 0.713457i | \(0.252871\pi\) | |||||||
\(912\) | 7.93598 | − | 14.5337i | 0.262787 | − | 0.481258i | ||||
\(913\) | 20.5441 | + | 27.4438i | 0.679912 | + | 0.908256i | ||||
\(914\) | −27.7633 | + | 32.0405i | −0.918328 | + | 1.05981i | ||||
\(915\) | −36.0976 | + | 2.18198i | −1.19335 | + | 0.0721341i | ||||
\(916\) | −49.0931 | + | 42.5394i | −1.62208 | + | 1.40554i | ||||
\(917\) | 2.80826 | − | 1.53343i | 0.0927371 | − | 0.0506383i | ||||
\(918\) | −10.2223 | + | 3.81270i | −0.337385 | + | 0.125838i | ||||
\(919\) | 41.1414 | 1.35713 | 0.678565 | − | 0.734540i | \(-0.262602\pi\) | ||||
0.678565 | + | 0.734540i | \(0.262602\pi\) | |||||||
\(920\) | 12.0493 | + | 12.7155i | 0.397253 | + | 0.419219i | ||||
\(921\) | 25.0859 | 0.826607 | ||||||||
\(922\) | 10.3235 | − | 3.85045i | 0.339985 | − | 0.126808i | ||||
\(923\) | 10.8073 | − | 5.90125i | 0.355728 | − | 0.194242i | ||||
\(924\) | 6.42515 | − | 5.56743i | 0.211372 | − | 0.183155i | ||||
\(925\) | 2.13709 | + | 6.14000i | 0.0702672 | + | 0.201882i | ||||
\(926\) | 14.5259 | − | 16.7638i | 0.477350 | − | 0.550892i | ||||
\(927\) | −1.07859 | − | 1.44083i | −0.0354257 | − | 0.0473232i | ||||
\(928\) | 5.94141 | − | 10.8809i | 0.195036 | − | 0.357183i | ||||
\(929\) | 13.7602 | − | 21.4114i | 0.451459 | − | 0.702484i | −0.538690 | − | 0.842504i | \(-0.681080\pi\) |
0.990149 | + | 0.140020i | \(0.0447168\pi\) | |||||||
\(930\) | 28.0516 | + | 63.2612i | 0.919847 | + | 2.07442i | ||||
\(931\) | 29.5764 | − | 13.5071i | 0.969327 | − | 0.442677i | ||||
\(932\) | 16.0122 | − | 42.9304i | 0.524497 | − | 1.40623i | ||||
\(933\) | 13.0143 | + | 9.74240i | 0.426070 | + | 0.318952i | ||||
\(934\) | 70.7771 | + | 45.4857i | 2.31590 | + | 1.48834i | ||||
\(935\) | 5.16691 | + | 1.18381i | 0.168976 | + | 0.0387147i | ||||
\(936\) | 0.119150 | − | 0.828704i | 0.00389453 | − | 0.0270870i | ||||
\(937\) | −1.35058 | − | 18.8836i | −0.0441216 | − | 0.616900i | −0.970622 | − | 0.240608i | \(-0.922653\pi\) |
0.926501 | − | 0.376292i | \(-0.122801\pi\) | |||||||
\(938\) | 2.56606 | − | 11.7960i | 0.0837847 | − | 0.385152i | ||||
\(939\) | −1.49204 | − | 1.72190i | −0.0486908 | − | 0.0561922i | ||||
\(940\) | −6.70369 | + | 6.55746i | −0.218650 | + | 0.213881i | ||||
\(941\) | 19.8866 | + | 9.08189i | 0.648283 | + | 0.296061i | 0.712287 | − | 0.701889i | \(-0.247660\pi\) |
−0.0640035 | + | 0.997950i | \(0.520387\pi\) | |||||||
\(942\) | −53.8994 | + | 53.8994i | −1.75614 | + | 1.75614i | ||||
\(943\) | −32.1021 | + | 48.2507i | −1.04539 | + | 1.57126i | ||||
\(944\) | − | 19.7631i | − | 0.643235i | ||||||
\(945\) | 1.31606 | − | 8.48788i | 0.0428113 | − | 0.276111i | ||||
\(946\) | −15.3245 | − | 4.49968i | −0.498243 | − | 0.146297i | ||||
\(947\) | −3.09378 | + | 43.2567i | −0.100534 | + | 1.40565i | 0.657507 | + | 0.753448i | \(0.271611\pi\) |
−0.758042 | + | 0.652206i | \(0.773844\pi\) | |||||||
\(948\) | −62.4340 | − | 13.5817i | −2.02776 | − | 0.441112i | ||||
\(949\) | 2.23764 | + | 1.93893i | 0.0726370 | + | 0.0629403i | ||||
\(950\) | 20.2569 | − | 50.8566i | 0.657221 | − | 1.65001i | ||||
\(951\) | 8.71416 | − | 2.55871i | 0.282576 | − | 0.0829718i | ||||
\(952\) | −0.238851 | − | 1.09798i | −0.00774121 | − | 0.0355858i | ||||
\(953\) | 15.5028 | − | 20.7093i | 0.502185 | − | 0.670841i | −0.475791 | − | 0.879559i | \(-0.657838\pi\) |
0.977976 | + | 0.208717i | \(0.0669289\pi\) | |||||||
\(954\) | 0.0578122 | + | 0.126591i | 0.00187174 | + | 0.00409854i | ||||
\(955\) | −1.53461 | + | 1.30040i | −0.0496589 | + | 0.0420800i | ||||
\(956\) | 6.40033 | + | 44.5153i | 0.207001 | + | 1.43973i | ||||
\(957\) | −6.88082 | + | 1.49683i | −0.222425 | + | 0.0483856i | ||||
\(958\) | −29.0605 | − | 15.8683i | −0.938904 | − | 0.512680i | ||||
\(959\) | −1.03916 | − | 0.149408i | −0.0335561 | − | 0.00482465i | ||||
\(960\) | −44.5249 | + | 16.0499i | −1.43703 | + | 0.518009i | ||||
\(961\) | 32.6294 | − | 20.9696i | 1.05256 | − | 0.676440i | ||||
\(962\) | 13.1216 | + | 0.938472i | 0.423056 | + | 0.0302576i | ||||
\(963\) | 0.253597 | + | 0.464429i | 0.00817206 | + | 0.0149660i | ||||
\(964\) | 29.0986 | − | 63.7171i | 0.937203 | − | 2.05219i | ||||
\(965\) | −0.394616 | + | 0.704115i | −0.0127031 | + | 0.0226663i | ||||
\(966\) | 12.1639 | − | 4.31827i | 0.391366 | − | 0.138938i | ||||
\(967\) | 31.0212 | + | 31.0212i | 0.997574 | + | 0.997574i | 0.999997 | − | 0.00242292i | \(-0.000771239\pi\) |
−0.00242292 | + | 0.999997i | \(0.500771\pi\) | |||||||
\(968\) | 2.70095 | + | 7.24153i | 0.0868118 | + | 0.232751i | ||||
\(969\) | −2.27800 | + | 7.75814i | −0.0731798 | + | 0.249227i | ||||
\(970\) | 66.9869 | + | 44.1010i | 2.15082 | + | 1.41600i | ||||
\(971\) | 2.47177 | + | 3.84616i | 0.0793230 | + | 0.123429i | 0.878648 | − | 0.477470i | \(-0.158446\pi\) |
−0.799325 | + | 0.600899i | \(0.794810\pi\) | |||||||
\(972\) | 3.14499 | − | 0.224934i | 0.100876 | − | 0.00721476i | ||||
\(973\) | 6.72128 | − | 5.03149i | 0.215474 | − | 0.161302i | ||||
\(974\) | −9.76195 | − | 33.2461i | −0.312793 | − | 1.06527i | ||||
\(975\) | 0.870079 | − | 39.4476i | 0.0278648 | − | 1.26333i | ||||
\(976\) | −18.2606 | + | 2.62548i | −0.584509 | + | 0.0840397i | ||||
\(977\) | −44.0110 | − | 16.4152i | −1.40804 | − | 0.525170i | −0.473423 | − | 0.880835i | \(-0.656982\pi\) |
−0.934613 | + | 0.355665i | \(0.884254\pi\) | |||||||
\(978\) | −32.6450 | − | 12.1759i | −1.04387 | − | 0.389344i | ||||
\(979\) | −2.88360 | + | 0.414599i | −0.0921602 | + | 0.0132506i | ||||
\(980\) | −38.0544 | − | 11.6311i | −1.21560 | − | 0.371541i | ||||
\(981\) | −0.0407848 | − | 0.138900i | −0.00130216 | − | 0.00443475i | ||||
\(982\) | 43.3710 | − | 32.4671i | 1.38402 | − | 1.03607i | ||||
\(983\) | −28.7241 | + | 2.05439i | −0.916157 | + | 0.0655249i | −0.521450 | − | 0.853282i | \(-0.674609\pi\) |
−0.394708 | + | 0.918807i | \(0.629154\pi\) | |||||||
\(984\) | 18.1416 | + | 28.2289i | 0.578333 | + | 0.899904i | ||||
\(985\) | 6.04112 | + | 29.3236i | 0.192486 | + | 0.934328i | ||||
\(986\) | −0.961849 | + | 3.27576i | −0.0306315 | + | 0.104321i | ||||
\(987\) | 0.658271 | + | 1.76489i | 0.0209530 | + | 0.0561772i | ||||
\(988\) | −45.3432 | − | 45.3432i | −1.44256 | − | 1.44256i | ||||
\(989\) | −11.1028 | − | 8.58974i | −0.353049 | − | 0.273138i | ||||
\(990\) | −1.17506 | − | 0.658556i | −0.0373460 | − | 0.0209303i | ||||
\(991\) | −8.31802 | + | 18.2139i | −0.264231 | + | 0.578584i | −0.994519 | − | 0.104554i | \(-0.966658\pi\) |
0.730289 | + | 0.683139i | \(0.239386\pi\) | |||||||
\(992\) | 29.9986 | + | 54.9384i | 0.952457 | + | 1.74429i | ||||
\(993\) | 58.3020 | + | 4.16984i | 1.85016 | + | 0.132326i | ||||
\(994\) | −3.53294 | + | 2.27048i | −0.112058 | + | 0.0720153i | ||||
\(995\) | −12.9437 | + | 27.5352i | −0.410344 | + | 0.872925i | ||||
\(996\) | 63.3447 | + | 9.10760i | 2.00715 | + | 0.288585i | ||||
\(997\) | −45.8495 | − | 25.0357i | −1.45207 | − | 0.792889i | −0.456754 | − | 0.889593i | \(-0.650988\pi\) |
−0.995313 | + | 0.0967040i | \(0.969170\pi\) | |||||||
\(998\) | −52.5310 | + | 11.4274i | −1.66284 | + | 0.361729i | ||||
\(999\) | 0.978397 | + | 6.80490i | 0.0309551 | + | 0.215297i |
(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 | 115.2.l.a.17.10 | ✓ | 200 | |
5.2 | odd | 4 | 575.2.r.b.293.10 | 200 | |||
5.3 | odd | 4 | inner | 115.2.l.a.63.1 | yes | 200 | |
5.4 | even | 2 | 575.2.r.b.132.1 | 200 | |||
23.19 | odd | 22 | inner | 115.2.l.a.42.1 | yes | 200 | |
115.19 | odd | 22 | 575.2.r.b.157.10 | 200 | |||
115.42 | even | 44 | 575.2.r.b.318.1 | 200 | |||
115.88 | even | 44 | inner | 115.2.l.a.88.10 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.l.a.17.10 | ✓ | 200 | 1.1 | even | 1 | trivial | |
115.2.l.a.42.1 | yes | 200 | 23.19 | odd | 22 | inner | |
115.2.l.a.63.1 | yes | 200 | 5.3 | odd | 4 | inner | |
115.2.l.a.88.10 | yes | 200 | 115.88 | even | 44 | inner | |
575.2.r.b.132.1 | 200 | 5.4 | even | 2 | |||
575.2.r.b.157.10 | 200 | 115.19 | odd | 22 | |||
575.2.r.b.293.10 | 200 | 5.2 | odd | 4 | |||
575.2.r.b.318.1 | 200 | 115.42 | even | 44 |