Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(21,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.be (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 21.41 | ||
Character | \(\chi\) | \(=\) | 400.21 |
Dual form | 400.2.be.a.381.41 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.771820 | + | 1.18503i | 0.545759 | + | 0.837942i | ||||
\(3\) | −0.179927 | + | 0.0284977i | −0.103881 | + | 0.0164531i | −0.208159 | − | 0.978095i | \(-0.566747\pi\) |
0.104277 | + | 0.994548i | \(0.466747\pi\) | |||||||
\(4\) | −0.808588 | + | 1.82926i | −0.404294 | + | 0.914629i | ||||
\(5\) | 1.03540 | + | 1.98191i | 0.463043 | + | 0.886336i | ||||
\(6\) | −0.172642 | − | 0.191224i | −0.0704808 | − | 0.0780669i | ||||
\(7\) | 0.839485i | 0.317296i | 0.987335 | + | 0.158648i | \(0.0507134\pi\) | ||||
−0.987335 | + | 0.158648i | \(0.949287\pi\) | |||||||
\(8\) | −2.79181 | + | 0.453657i | −0.987053 | + | 0.160392i | ||||
\(9\) | −2.82161 | + | 0.916796i | −0.940536 | + | 0.305599i | ||||
\(10\) | −1.54948 | + | 2.75665i | −0.489988 | + | 0.871729i | ||||
\(11\) | 2.23411 | − | 1.13833i | 0.673609 | − | 0.343221i | −0.0835017 | − | 0.996508i | \(-0.526610\pi\) |
0.757111 | + | 0.653287i | \(0.226610\pi\) | |||||||
\(12\) | 0.0933575 | − | 0.352176i | 0.0269500 | − | 0.101665i | ||||
\(13\) | 0.110969 | + | 0.0565415i | 0.0307772 | + | 0.0156818i | 0.469311 | − | 0.883033i | \(-0.344502\pi\) |
−0.438534 | + | 0.898715i | \(0.644502\pi\) | |||||||
\(14\) | −0.994814 | + | 0.647931i | −0.265875 | + | 0.173167i | ||||
\(15\) | −0.242776 | − | 0.327093i | −0.0626845 | − | 0.0844550i | ||||
\(16\) | −2.69237 | − | 2.95823i | −0.673093 | − | 0.739558i | ||||
\(17\) | −0.867590 | + | 0.630341i | −0.210421 | + | 0.152880i | −0.688004 | − | 0.725707i | \(-0.741513\pi\) |
0.477583 | + | 0.878587i | \(0.341513\pi\) | |||||||
\(18\) | −3.26420 | − | 2.63609i | −0.769380 | − | 0.621331i | ||||
\(19\) | −0.248130 | + | 1.56663i | −0.0569250 | + | 0.359410i | 0.942740 | + | 0.333528i | \(0.108239\pi\) |
−0.999665 | + | 0.0258817i | \(0.991761\pi\) | |||||||
\(20\) | −4.46263 | + | 0.291461i | −0.997874 | + | 0.0651728i | ||||
\(21\) | −0.0239234 | − | 0.151046i | −0.00522051 | − | 0.0329610i | ||||
\(22\) | 3.07329 | + | 1.76889i | 0.655227 | + | 0.377129i | ||||
\(23\) | 3.63886 | + | 1.18234i | 0.758755 | + | 0.246535i | 0.662744 | − | 0.748846i | \(-0.269392\pi\) |
0.0960110 | + | 0.995380i | \(0.469392\pi\) | |||||||
\(24\) | 0.489394 | − | 0.161185i | 0.0998972 | − | 0.0329018i | ||||
\(25\) | −2.85591 | + | 4.10412i | −0.571182 | + | 0.820824i | ||||
\(26\) | 0.0186447 | + | 0.175141i | 0.00365653 | + | 0.0343480i | ||||
\(27\) | 0.968502 | − | 0.493476i | 0.186388 | − | 0.0949696i | ||||
\(28\) | −1.53564 | − | 0.678798i | −0.290208 | − | 0.128281i | ||||
\(29\) | −0.0222443 | + | 0.00352316i | −0.00413067 | + | 0.000654234i | −0.158499 | − | 0.987359i | \(-0.550666\pi\) |
0.154369 | + | 0.988013i | \(0.450666\pi\) | |||||||
\(30\) | 0.200235 | − | 0.540153i | 0.0365578 | − | 0.0986180i | ||||
\(31\) | 4.71499 | − | 3.42564i | 0.846837 | − | 0.615263i | −0.0774350 | − | 0.996997i | \(-0.524673\pi\) |
0.924272 | + | 0.381734i | \(0.124673\pi\) | |||||||
\(32\) | 1.42757 | − | 5.47376i | 0.252361 | − | 0.967633i | ||||
\(33\) | −0.369537 | + | 0.268484i | −0.0643282 | + | 0.0467371i | ||||
\(34\) | −1.41660 | − | 0.541610i | −0.242944 | − | 0.0928853i | ||||
\(35\) | −1.66378 | + | 0.869200i | −0.281230 | + | 0.146922i | ||||
\(36\) | 0.604462 | − | 5.90276i | 0.100744 | − | 0.983793i | ||||
\(37\) | −1.96350 | + | 3.85359i | −0.322797 | + | 0.633526i | −0.994198 | − | 0.107569i | \(-0.965693\pi\) |
0.671400 | + | 0.741095i | \(0.265693\pi\) | |||||||
\(38\) | −2.04802 | + | 0.915117i | −0.332232 | + | 0.148452i | ||||
\(39\) | −0.0215776 | − | 0.00701100i | −0.00345519 | − | 0.00112266i | ||||
\(40\) | −3.78974 | − | 5.06339i | −0.599210 | − | 0.800592i | ||||
\(41\) | −3.07859 | + | 1.00029i | −0.480794 | + | 0.156220i | −0.539379 | − | 0.842063i | \(-0.681341\pi\) |
0.0585850 | + | 0.998282i | \(0.481341\pi\) | |||||||
\(42\) | 0.160530 | − | 0.144930i | 0.0247703 | − | 0.0223633i | ||||
\(43\) | 2.41770 | + | 2.41770i | 0.368696 | + | 0.368696i | 0.867002 | − | 0.498305i | \(-0.166044\pi\) |
−0.498305 | + | 0.867002i | \(0.666044\pi\) | |||||||
\(44\) | 0.275835 | + | 5.00720i | 0.0415837 | + | 0.754864i | ||||
\(45\) | −4.73849 | − | 4.64292i | −0.706372 | − | 0.692125i | ||||
\(46\) | 1.40744 | + | 5.22471i | 0.207516 | + | 0.770342i | ||||
\(47\) | 6.85681 | + | 4.98176i | 1.00017 | + | 0.726665i | 0.962124 | − | 0.272611i | \(-0.0878873\pi\) |
0.0380441 | + | 0.999276i | \(0.487887\pi\) | |||||||
\(48\) | 0.568734 | + | 0.455541i | 0.0820897 | + | 0.0657516i | ||||
\(49\) | 6.29526 | 0.899324 | ||||||||
\(50\) | −7.06775 | − | 0.216694i | −0.999530 | − | 0.0306451i | ||||
\(51\) | 0.138140 | − | 0.138140i | 0.0193434 | − | 0.0193434i | ||||
\(52\) | −0.193157 | + | 0.157272i | −0.0267861 | + | 0.0218097i | ||||
\(53\) | −0.812896 | − | 5.13242i | −0.111660 | − | 0.704992i | −0.978475 | − | 0.206364i | \(-0.933837\pi\) |
0.866816 | − | 0.498629i | \(-0.166163\pi\) | |||||||
\(54\) | 1.33229 | + | 0.766828i | 0.181302 | + | 0.104352i | ||||
\(55\) | 4.56926 | + | 3.24917i | 0.616119 | + | 0.438117i | ||||
\(56\) | −0.380839 | − | 2.34368i | −0.0508917 | − | 0.313188i | ||||
\(57\) | − | 0.288951i | − | 0.0382725i | ||||||
\(58\) | −0.0213437 | − | 0.0236409i | −0.00280256 | − | 0.00310421i | ||||
\(59\) | 1.88364 | − | 3.69685i | 0.245229 | − | 0.481288i | −0.735280 | − | 0.677763i | \(-0.762949\pi\) |
0.980509 | + | 0.196475i | \(0.0629494\pi\) | |||||||
\(60\) | 0.794643 | − | 0.179616i | 0.102588 | − | 0.0231884i | ||||
\(61\) | −1.48876 | − | 2.92187i | −0.190617 | − | 0.374107i | 0.775842 | − | 0.630927i | \(-0.217325\pi\) |
−0.966459 | + | 0.256820i | \(0.917325\pi\) | |||||||
\(62\) | 7.69861 | + | 2.94342i | 0.977724 | + | 0.373815i | ||||
\(63\) | −0.769637 | − | 2.36870i | −0.0969651 | − | 0.298428i | ||||
\(64\) | 7.58839 | − | 2.53305i | 0.948549 | − | 0.316631i | ||||
\(65\) | 0.00283688 | + | 0.278473i | 0.000351872 | + | 0.0345403i | ||||
\(66\) | −0.603378 | − | 0.230691i | −0.0742707 | − | 0.0283961i | ||||
\(67\) | 0.913419 | − | 5.76710i | 0.111592 | − | 0.704563i | −0.866932 | − | 0.498427i | \(-0.833911\pi\) |
0.978523 | − | 0.206136i | \(-0.0660889\pi\) | |||||||
\(68\) | −0.451533 | − | 2.09673i | −0.0547565 | − | 0.254266i | ||||
\(69\) | −0.688425 | − | 0.109036i | −0.0828766 | − | 0.0131264i | ||||
\(70\) | −2.31417 | − | 1.30076i | −0.276596 | − | 0.155471i | ||||
\(71\) | 9.05193 | − | 12.4589i | 1.07427 | − | 1.47860i | 0.208586 | − | 0.978004i | \(-0.433114\pi\) |
0.865681 | − | 0.500597i | \(-0.166886\pi\) | |||||||
\(72\) | 7.46148 | − | 3.83956i | 0.879344 | − | 0.452497i | ||||
\(73\) | 12.0099 | + | 3.90226i | 1.40565 | + | 0.456725i | 0.911015 | − | 0.412374i | \(-0.135300\pi\) |
0.494639 | + | 0.869098i | \(0.335300\pi\) | |||||||
\(74\) | −6.08208 | + | 0.647470i | −0.707027 | + | 0.0752668i | ||||
\(75\) | 0.396898 | − | 0.819830i | 0.0458298 | − | 0.0946658i | ||||
\(76\) | −2.66514 | − | 1.72065i | −0.305713 | − | 0.197373i | ||||
\(77\) | 0.955615 | + | 1.87550i | 0.108902 | + | 0.213733i | ||||
\(78\) | −0.00834581 | − | 0.0309814i | −0.000944977 | − | 0.00350795i | ||||
\(79\) | 0.394590 | + | 0.286686i | 0.0443948 | + | 0.0322547i | 0.609761 | − | 0.792585i | \(-0.291265\pi\) |
−0.565367 | + | 0.824840i | \(0.691265\pi\) | |||||||
\(80\) | 3.07527 | − | 8.39897i | 0.343826 | − | 0.939034i | ||||
\(81\) | 7.04041 | − | 5.11516i | 0.782268 | − | 0.568351i | ||||
\(82\) | −3.56149 | − | 2.87617i | −0.393301 | − | 0.317620i | ||||
\(83\) | −2.13013 | + | 13.4491i | −0.233812 | + | 1.47623i | 0.539382 | + | 0.842061i | \(0.318658\pi\) |
−0.773194 | + | 0.634169i | \(0.781342\pi\) | |||||||
\(84\) | 0.295647 | + | 0.0783722i | 0.0322577 | + | 0.00855111i | ||||
\(85\) | −2.14758 | − | 1.06683i | −0.232937 | − | 0.115714i | ||||
\(86\) | −0.999017 | + | 4.73108i | −0.107727 | + | 0.510165i | ||||
\(87\) | 0.00390196 | − | 0.00126782i | 0.000418334 | − | 0.000135925i | ||||
\(88\) | −5.72079 | + | 4.19153i | −0.609838 | + | 0.446819i | ||||
\(89\) | −7.89287 | − | 2.56455i | −0.836642 | − | 0.271842i | −0.140802 | − | 0.990038i | \(-0.544968\pi\) |
−0.695841 | + | 0.718196i | \(0.744968\pi\) | |||||||
\(90\) | 1.84473 | − | 9.19874i | 0.194452 | − | 0.969632i | ||||
\(91\) | −0.0474657 | + | 0.0931568i | −0.00497576 | + | 0.00976548i | ||||
\(92\) | −5.10514 | + | 5.70040i | −0.532248 | + | 0.594307i | ||||
\(93\) | −0.750733 | + | 0.750733i | −0.0778473 | + | 0.0778473i | ||||
\(94\) | −0.611313 | + | 11.9705i | −0.0630521 | + | 1.23467i | ||||
\(95\) | −3.36183 | + | 1.13031i | −0.344917 | + | 0.115968i | ||||
\(96\) | −0.100869 | + | 1.02556i | −0.0102949 | + | 0.104671i | ||||
\(97\) | 6.73788 | + | 4.89536i | 0.684128 | + | 0.497048i | 0.874725 | − | 0.484620i | \(-0.161042\pi\) |
−0.190596 | + | 0.981668i | \(0.561042\pi\) | |||||||
\(98\) | 4.85881 | + | 7.46007i | 0.490814 | + | 0.753581i | ||||
\(99\) | −5.26016 | + | 5.26016i | −0.528666 | + | 0.528666i | ||||
\(100\) | −5.19824 | − | 8.54273i | −0.519824 | − | 0.854273i | ||||
\(101\) | −12.4198 | − | 12.4198i | −1.23582 | − | 1.23582i | −0.961694 | − | 0.274123i | \(-0.911612\pi\) |
−0.274123 | − | 0.961694i | \(-0.588388\pi\) | |||||||
\(102\) | 0.270319 | + | 0.0570807i | 0.0267655 | + | 0.00565183i | ||||
\(103\) | 5.28320 | − | 7.27170i | 0.520569 | − | 0.716502i | −0.465087 | − | 0.885265i | \(-0.653977\pi\) |
0.985657 | + | 0.168763i | \(0.0539771\pi\) | |||||||
\(104\) | −0.335454 | − | 0.107511i | −0.0328940 | − | 0.0105423i | ||||
\(105\) | 0.274589 | − | 0.203807i | 0.0267972 | − | 0.0198895i | ||||
\(106\) | 5.45466 | − | 4.92461i | 0.529804 | − | 0.478321i | ||||
\(107\) | −0.601297 | − | 0.601297i | −0.0581295 | − | 0.0581295i | 0.677444 | − | 0.735574i | \(-0.263087\pi\) |
−0.735574 | + | 0.677444i | \(0.763087\pi\) | |||||||
\(108\) | 0.119577 | + | 2.17066i | 0.0115063 | + | 0.208872i | ||||
\(109\) | 4.32510 | + | 2.20375i | 0.414270 | + | 0.211081i | 0.648687 | − | 0.761055i | \(-0.275318\pi\) |
−0.234418 | + | 0.972136i | \(0.575318\pi\) | |||||||
\(110\) | −0.323709 | + | 7.92248i | −0.0308644 | + | 0.755379i | ||||
\(111\) | 0.243469 | − | 0.749321i | 0.0231091 | − | 0.0711224i | ||||
\(112\) | 2.48339 | − | 2.26021i | 0.234659 | − | 0.213569i | ||||
\(113\) | 3.75903 | + | 11.5691i | 0.353620 | + | 1.08833i | 0.956805 | + | 0.290729i | \(0.0938979\pi\) |
−0.603185 | + | 0.797601i | \(0.706102\pi\) | |||||||
\(114\) | 0.342415 | − | 0.223018i | 0.0320701 | − | 0.0208876i | ||||
\(115\) | 1.42438 | + | 8.43608i | 0.132824 | + | 0.786668i | ||||
\(116\) | 0.0115417 | − | 0.0435394i | 0.00107162 | − | 0.00404253i | ||||
\(117\) | −0.364948 | − | 0.0578020i | −0.0337394 | − | 0.00534380i | ||||
\(118\) | 5.83470 | − | 0.621134i | 0.537127 | − | 0.0571800i | ||||
\(119\) | −0.529162 | − | 0.728329i | −0.0485082 | − | 0.0667658i | ||||
\(120\) | 0.826172 | + | 0.803043i | 0.0754188 | + | 0.0733075i | ||||
\(121\) | −2.77021 | + | 3.81286i | −0.251837 | + | 0.346624i | ||||
\(122\) | 2.31344 | − | 4.01938i | 0.209449 | − | 0.363898i | ||||
\(123\) | 0.525416 | − | 0.267713i | 0.0473751 | − | 0.0241388i | ||||
\(124\) | 2.45390 | + | 11.3949i | 0.220366 | + | 1.02329i | ||||
\(125\) | −11.0910 | − | 1.41075i | −0.992007 | − | 0.126182i | ||||
\(126\) | 2.21296 | − | 2.74025i | 0.197146 | − | 0.244121i | ||||
\(127\) | 0.134517 | − | 0.414002i | 0.0119365 | − | 0.0367367i | −0.944911 | − | 0.327328i | \(-0.893852\pi\) |
0.956847 | + | 0.290591i | \(0.0938519\pi\) | |||||||
\(128\) | 8.85861 | + | 7.03741i | 0.782998 | + | 0.622025i | ||||
\(129\) | −0.503910 | − | 0.366112i | −0.0443668 | − | 0.0322343i | ||||
\(130\) | −0.327809 | + | 0.218293i | −0.0287507 | + | 0.0191455i | ||||
\(131\) | 0.436070 | − | 2.75324i | 0.0380996 | − | 0.240551i | −0.961288 | − | 0.275546i | \(-0.911141\pi\) |
0.999388 | + | 0.0349946i | \(0.0111414\pi\) | |||||||
\(132\) | −0.192324 | − | 0.893072i | −0.0167397 | − | 0.0777319i | ||||
\(133\) | −1.31516 | − | 0.208302i | −0.114039 | − | 0.0180620i | ||||
\(134\) | 7.53917 | − | 3.36873i | 0.651285 | − | 0.291014i | ||||
\(135\) | 1.98081 | + | 1.40854i | 0.170481 | + | 0.121228i | ||||
\(136\) | 2.13619 | − | 2.15338i | 0.183176 | − | 0.184651i | ||||
\(137\) | −12.2317 | + | 3.97431i | −1.04502 | + | 0.339548i | −0.780713 | − | 0.624890i | \(-0.785144\pi\) |
−0.264309 | + | 0.964438i | \(0.585144\pi\) | |||||||
\(138\) | −0.402129 | − | 0.899959i | −0.0342315 | − | 0.0766096i | ||||
\(139\) | −2.70217 | + | 1.37682i | −0.229195 | + | 0.116781i | −0.564817 | − | 0.825216i | \(-0.691053\pi\) |
0.335622 | + | 0.941997i | \(0.391053\pi\) | |||||||
\(140\) | −0.244678 | − | 3.74631i | −0.0206790 | − | 0.316621i | ||||
\(141\) | −1.37570 | − | 0.700952i | −0.115854 | − | 0.0590308i | ||||
\(142\) | 21.7506 | + | 1.11076i | 1.82527 | + | 0.0932132i | ||||
\(143\) | 0.312280 | 0.0261141 | ||||||||
\(144\) | 10.3089 | + | 5.87862i | 0.859076 | + | 0.489885i | ||||
\(145\) | −0.0300143 | − | 0.0404383i | −0.00249255 | − | 0.00335822i | ||||
\(146\) | 4.64520 | + | 17.2439i | 0.384440 | + | 1.42712i | ||||
\(147\) | −1.13269 | + | 0.179400i | −0.0934227 | + | 0.0147967i | ||||
\(148\) | −5.46154 | − | 6.70771i | −0.448936 | − | 0.551371i | ||||
\(149\) | −12.1528 | − | 12.1528i | −0.995594 | − | 0.995594i | 0.00439656 | − | 0.999990i | \(-0.498601\pi\) |
−0.999990 | + | 0.00439656i | \(0.998601\pi\) | |||||||
\(150\) | 1.27786 | − | 0.162425i | 0.104336 | − | 0.0132620i | ||||
\(151\) | − | 16.3690i | − | 1.33209i | −0.745912 | − | 0.666044i | \(-0.767986\pi\) | ||
0.745912 | − | 0.666044i | \(-0.232014\pi\) | |||||||
\(152\) | −0.0179824 | − | 4.48630i | −0.00145856 | − | 0.363887i | ||||
\(153\) | 1.87010 | − | 2.57398i | 0.151189 | − | 0.208094i | ||||
\(154\) | −1.48496 | + | 2.57998i | −0.119661 | + | 0.207901i | ||||
\(155\) | 11.6712 | + | 5.79777i | 0.937452 | + | 0.465688i | ||||
\(156\) | 0.0302724 | − | 0.0338021i | 0.00242373 | − | 0.00270633i | ||||
\(157\) | −9.07680 | + | 9.07680i | −0.724407 | + | 0.724407i | −0.969500 | − | 0.245092i | \(-0.921182\pi\) |
0.245092 | + | 0.969500i | \(0.421182\pi\) | |||||||
\(158\) | −0.0351793 | + | 0.688871i | −0.00279872 | + | 0.0548036i | ||||
\(159\) | 0.292524 | + | 0.900297i | 0.0231987 | + | 0.0713982i | ||||
\(160\) | 12.3266 | − | 2.83821i | 0.974502 | − | 0.224380i | ||||
\(161\) | −0.992555 | + | 3.05477i | −0.0782243 | + | 0.240750i | ||||
\(162\) | 11.4955 | + | 4.39511i | 0.903175 | + | 0.345313i | ||||
\(163\) | −3.86784 | − | 1.97076i | −0.302953 | − | 0.154362i | 0.295905 | − | 0.955217i | \(-0.404379\pi\) |
−0.598858 | + | 0.800855i | \(0.704379\pi\) | |||||||
\(164\) | 0.659514 | − | 6.44036i | 0.0514994 | − | 0.502907i | ||||
\(165\) | −0.914729 | − | 0.454400i | −0.0712115 | − | 0.0353750i | ||||
\(166\) | −17.5816 | + | 7.85602i | −1.36460 | + | 0.609745i | ||||
\(167\) | −10.8751 | − | 14.9682i | −0.841537 | − | 1.15828i | −0.985664 | − | 0.168717i | \(-0.946037\pi\) |
0.144127 | − | 0.989559i | \(-0.453963\pi\) | |||||||
\(168\) | 0.135313 | + | 0.410839i | 0.0104396 | + | 0.0316969i | ||||
\(169\) | −7.63209 | − | 10.5047i | −0.587084 | − | 0.808052i | ||||
\(170\) | −0.393318 | − | 3.36834i | −0.0301661 | − | 0.258340i | ||||
\(171\) | −0.736156 | − | 4.64791i | −0.0562953 | − | 0.355434i | ||||
\(172\) | −6.37753 | + | 2.46768i | −0.486282 | + | 0.188159i | ||||
\(173\) | 6.92936 | + | 13.5996i | 0.526830 | + | 1.03396i | 0.989103 | + | 0.147224i | \(0.0470338\pi\) |
−0.462274 | + | 0.886737i | \(0.652966\pi\) | |||||||
\(174\) | 0.00451402 | + | 0.00364541i | 0.000342207 | + | 0.000276358i | ||||
\(175\) | −3.44535 | − | 2.39749i | −0.260444 | − | 0.181233i | ||||
\(176\) | −9.38251 | − | 3.54419i | −0.707233 | − | 0.267153i | ||||
\(177\) | −0.233566 | + | 0.718843i | −0.0175559 | + | 0.0540315i | ||||
\(178\) | −3.05281 | − | 11.3326i | −0.228818 | − | 0.849418i | ||||
\(179\) | −22.4109 | + | 3.54954i | −1.67507 | + | 0.265305i | −0.920451 | − | 0.390858i | \(-0.872178\pi\) |
−0.754619 | + | 0.656163i | \(0.772178\pi\) | |||||||
\(180\) | 12.3246 | − | 4.91371i | 0.918620 | − | 0.366246i | ||||
\(181\) | −3.60976 | − | 0.571731i | −0.268312 | − | 0.0424964i | 0.0208288 | − | 0.999783i | \(-0.493369\pi\) |
−0.289141 | + | 0.957287i | \(0.593369\pi\) | |||||||
\(182\) | −0.147028 | + | 0.0156520i | −0.0108985 | + | 0.00116020i | ||||
\(183\) | 0.351136 | + | 0.483297i | 0.0259567 | + | 0.0357263i | ||||
\(184\) | −10.6954 | − | 1.65007i | −0.788474 | − | 0.121644i | ||||
\(185\) | −9.67045 | + | 0.0985157i | −0.710986 | + | 0.00724301i | ||||
\(186\) | −1.46907 | − | 0.310210i | −0.107717 | − | 0.0227457i | ||||
\(187\) | −1.22075 | + | 2.39586i | −0.0892701 | + | 0.175202i | ||||
\(188\) | −14.6573 | + | 8.51468i | −1.06899 | + | 0.620997i | ||||
\(189\) | 0.414266 | + | 0.813043i | 0.0301334 | + | 0.0591402i | ||||
\(190\) | −3.93419 | − | 3.11147i | −0.285416 | − | 0.225730i | ||||
\(191\) | 3.54028 | + | 10.8959i | 0.256166 | + | 0.788397i | 0.993598 | + | 0.112976i | \(0.0360383\pi\) |
−0.737432 | + | 0.675422i | \(0.763962\pi\) | |||||||
\(192\) | −1.29317 | + | 0.672016i | −0.0933267 | + | 0.0484986i | ||||
\(193\) | 15.4728 | 1.11376 | 0.556878 | − | 0.830594i | \(-0.311999\pi\) | ||||
0.556878 | + | 0.830594i | \(0.311999\pi\) | |||||||
\(194\) | −0.600710 | + | 11.7629i | −0.0431285 | + | 0.844528i | ||||
\(195\) | −0.00844627 | − | 0.0500240i | −0.000604850 | − | 0.00358230i | ||||
\(196\) | −5.09028 | + | 11.5157i | −0.363591 | + | 0.822547i | ||||
\(197\) | 0.237172 | + | 1.49744i | 0.0168978 | + | 0.106689i | 0.994696 | − | 0.102862i | \(-0.0328000\pi\) |
−0.977798 | + | 0.209550i | \(0.932800\pi\) | |||||||
\(198\) | −10.2933 | − | 2.17354i | −0.731515 | − | 0.154467i | ||||
\(199\) | − | 13.9903i | − | 0.991747i | −0.868395 | − | 0.495874i | \(-0.834848\pi\) | ||
0.868395 | − | 0.495874i | \(-0.165152\pi\) | |||||||
\(200\) | 6.11128 | − | 12.7535i | 0.432133 | − | 0.901810i | ||||
\(201\) | 1.06369i | 0.0750268i | ||||||||
\(202\) | 5.13198 | − | 24.3037i | 0.361085 | − | 1.71000i | ||||
\(203\) | −0.00295764 | − | 0.0186738i | −0.000207585 | − | 0.00131064i | ||||
\(204\) | 0.140995 | + | 0.364392i | 0.00987164 | + | 0.0255125i | ||||
\(205\) | −5.17005 | − | 5.06577i | −0.361092 | − | 0.353809i | ||||
\(206\) | 12.6949 | + | 0.648302i | 0.884493 | + | 0.0451694i | ||||
\(207\) | −11.3514 | −0.788977 | ||||||||
\(208\) | −0.131507 | − | 0.480502i | −0.00911834 | − | 0.0333169i | ||||
\(209\) | 1.22900 | + | 3.78248i | 0.0850119 | + | 0.261640i | ||||
\(210\) | 0.453451 | + | 0.168094i | 0.0312911 | + | 0.0115996i | ||||
\(211\) | 6.16701 | + | 12.1034i | 0.424555 | + | 0.833235i | 0.999883 | + | 0.0153126i | \(0.00487435\pi\) |
−0.575328 | + | 0.817923i | \(0.695126\pi\) | |||||||
\(212\) | 10.0458 | + | 2.66302i | 0.689950 | + | 0.182897i | ||||
\(213\) | −1.27364 | + | 2.49966i | −0.0872683 | + | 0.171274i | ||||
\(214\) | 0.248461 | − | 1.17665i | 0.0169845 | − | 0.0804339i | ||||
\(215\) | −2.28838 | + | 7.29494i | −0.156066 | + | 0.497511i | ||||
\(216\) | −2.48000 | + | 1.81706i | −0.168743 | + | 0.123635i | ||||
\(217\) | 2.87577 | + | 3.95816i | 0.195220 | + | 0.268698i | ||||
\(218\) | 0.726693 | + | 6.82627i | 0.0492178 | + | 0.462333i | ||||
\(219\) | −2.27212 | − | 0.359868i | −0.153535 | − | 0.0243176i | ||||
\(220\) | −9.63821 | + | 5.73112i | −0.649808 | + | 0.386392i | ||||
\(221\) | −0.131916 | + | 0.0208934i | −0.00887362 | + | 0.00140544i | ||||
\(222\) | 1.07588 | − | 0.289823i | 0.0722084 | − | 0.0194516i | ||||
\(223\) | 6.76970 | − | 20.8350i | 0.453332 | − | 1.39521i | −0.419749 | − | 0.907640i | \(-0.637882\pi\) |
0.873082 | − | 0.487574i | \(-0.162118\pi\) | |||||||
\(224\) | 4.59514 | + | 1.19842i | 0.307026 | + | 0.0800729i | ||||
\(225\) | 4.29561 | − | 14.1985i | 0.286374 | − | 0.946567i | ||||
\(226\) | −10.8084 | + | 13.3838i | −0.718967 | + | 0.890279i | ||||
\(227\) | −13.3900 | − | 26.2794i | −0.888728 | − | 1.74423i | −0.626877 | − | 0.779118i | \(-0.715667\pi\) |
−0.261851 | − | 0.965108i | \(-0.584333\pi\) | |||||||
\(228\) | 0.528566 | + | 0.233642i | 0.0350052 | + | 0.0154733i | ||||
\(229\) | −2.06958 | − | 13.0668i | −0.136762 | − | 0.863481i | −0.956710 | − | 0.291043i | \(-0.905998\pi\) |
0.819948 | − | 0.572438i | \(-0.194002\pi\) | |||||||
\(230\) | −8.89763 | + | 8.19907i | −0.586692 | + | 0.540630i | ||||
\(231\) | −0.225389 | − | 0.310221i | −0.0148295 | − | 0.0204110i | ||||
\(232\) | 0.0605036 | − | 0.0199273i | 0.00397226 | − | 0.00130829i | ||||
\(233\) | 6.94431 | + | 9.55803i | 0.454937 | + | 0.626167i | 0.973449 | − | 0.228903i | \(-0.0735139\pi\) |
−0.518512 | + | 0.855070i | \(0.673514\pi\) | |||||||
\(234\) | −0.213177 | − | 0.477086i | −0.0139358 | − | 0.0311881i | ||||
\(235\) | −2.77387 | + | 18.7477i | −0.180948 | + | 1.22296i | ||||
\(236\) | 5.23940 | + | 6.43488i | 0.341056 | + | 0.418875i | ||||
\(237\) | −0.0791674 | − | 0.0403378i | −0.00514248 | − | 0.00262022i | ||||
\(238\) | 0.454673 | − | 1.18921i | 0.0294721 | − | 0.0770851i | ||||
\(239\) | −6.12262 | + | 18.8435i | −0.396039 | + | 1.21888i | 0.532110 | + | 0.846675i | \(0.321399\pi\) |
−0.928149 | + | 0.372208i | \(0.878601\pi\) | |||||||
\(240\) | −0.313974 | + | 1.59884i | −0.0202669 | + | 0.103205i | ||||
\(241\) | −0.578108 | − | 1.77923i | −0.0372392 | − | 0.114610i | 0.930709 | − | 0.365761i | \(-0.119191\pi\) |
−0.967948 | + | 0.251150i | \(0.919191\pi\) | |||||||
\(242\) | −6.65645 | − | 0.339932i | −0.427893 | − | 0.0218517i | ||||
\(243\) | −3.42681 | + | 3.42681i | −0.219830 | + | 0.219830i | ||||
\(244\) | 6.54864 | − | 0.360750i | 0.419234 | − | 0.0230946i | ||||
\(245\) | 6.51810 | + | 12.4766i | 0.416426 | + | 0.797102i | ||||
\(246\) | 0.722774 | + | 0.416007i | 0.0460824 | + | 0.0265236i | ||||
\(247\) | −0.116114 | + | 0.159818i | −0.00738819 | + | 0.0101690i | ||||
\(248\) | −11.6093 | + | 11.7027i | −0.737190 | + | 0.743124i | ||||
\(249\) | − | 2.48056i | − | 0.157199i | ||||||
\(250\) | −6.88845 | − | 14.2320i | −0.435664 | − | 0.900109i | ||||
\(251\) | −6.85896 | − | 6.85896i | −0.432934 | − | 0.432934i | 0.456691 | − | 0.889625i | \(-0.349034\pi\) |
−0.889625 | + | 0.456691i | \(0.849034\pi\) | |||||||
\(252\) | 4.95528 | + | 0.507437i | 0.312153 | + | 0.0319655i | ||||
\(253\) | 9.47551 | − | 1.50077i | 0.595720 | − | 0.0943528i | ||||
\(254\) | 0.594427 | − | 0.160128i | 0.0372977 | − | 0.0100473i | ||||
\(255\) | 0.416810 | + | 0.130751i | 0.0261016 | + | 0.00818793i | ||||
\(256\) | −1.50228 | + | 15.9293i | −0.0938925 | + | 0.995582i | ||||
\(257\) | −19.6952 | −1.22855 | −0.614277 | − | 0.789091i | \(-0.710552\pi\) | ||||
−0.614277 | + | 0.789091i | \(0.710552\pi\) | |||||||
\(258\) | 0.0449256 | − | 0.879720i | 0.00279695 | − | 0.0547690i | ||||
\(259\) | −3.23503 | − | 1.64833i | −0.201015 | − | 0.102422i | ||||
\(260\) | −0.511693 | − | 0.219980i | −0.0317338 | − | 0.0136426i | ||||
\(261\) | 0.0595348 | − | 0.0303345i | 0.00368511 | − | 0.00187766i | ||||
\(262\) | 3.59923 | − | 1.60825i | 0.222361 | − | 0.0993578i | ||||
\(263\) | −18.6964 | + | 6.07482i | −1.15287 | + | 0.374589i | −0.822223 | − | 0.569166i | \(-0.807266\pi\) |
−0.330645 | + | 0.943755i | \(0.607266\pi\) | |||||||
\(264\) | 0.909877 | − | 0.917200i | 0.0559991 | − | 0.0564498i | ||||
\(265\) | 9.33031 | − | 6.92518i | 0.573157 | − | 0.425410i | ||||
\(266\) | −0.768227 | − | 1.71928i | −0.0471030 | − | 0.105416i | ||||
\(267\) | 1.49323 | + | 0.236504i | 0.0913840 | + | 0.0144738i | ||||
\(268\) | 9.81093 | + | 6.33408i | 0.599298 | + | 0.386916i | ||||
\(269\) | 2.75687 | − | 17.4062i | 0.168090 | − | 1.06128i | −0.748993 | − | 0.662578i | \(-0.769462\pi\) |
0.917082 | − | 0.398697i | \(-0.130538\pi\) | |||||||
\(270\) | −0.140330 | + | 3.43445i | −0.00854023 | + | 0.209014i | ||||
\(271\) | 18.1595 | + | 13.1937i | 1.10311 | + | 0.801459i | 0.981565 | − | 0.191127i | \(-0.0612142\pi\) |
0.121548 | + | 0.992586i | \(0.461214\pi\) | |||||||
\(272\) | 4.20057 | + | 0.869421i | 0.254697 | + | 0.0527164i | ||||
\(273\) | 0.00588563 | − | 0.0181141i | 0.000356215 | − | 0.00109632i | ||||
\(274\) | −14.1503 | − | 11.4274i | −0.854852 | − | 0.690357i | ||||
\(275\) | −1.70855 | + | 12.4200i | −0.103029 | + | 0.748956i | ||||
\(276\) | 0.756107 | − | 1.17114i | 0.0455123 | − | 0.0704944i | ||||
\(277\) | 20.8788 | − | 10.6383i | 1.25449 | − | 0.639194i | 0.304808 | − | 0.952414i | \(-0.401408\pi\) |
0.949681 | + | 0.313220i | \(0.101408\pi\) | |||||||
\(278\) | −3.71716 | − | 2.13949i | −0.222941 | − | 0.128318i | ||||
\(279\) | −10.1632 | + | 13.9885i | −0.608457 | + | 0.837469i | ||||
\(280\) | 4.25064 | − | 3.18143i | 0.254024 | − | 0.190127i | ||||
\(281\) | 13.6481 | + | 18.7851i | 0.814180 | + | 1.12062i | 0.990665 | + | 0.136319i | \(0.0435273\pi\) |
−0.176485 | + | 0.984303i | \(0.556473\pi\) | |||||||
\(282\) | −0.231141 | − | 2.17125i | −0.0137642 | − | 0.129296i | ||||
\(283\) | −12.8888 | − | 2.04139i | −0.766162 | − | 0.121348i | −0.238892 | − | 0.971046i | \(-0.576784\pi\) |
−0.527270 | + | 0.849698i | \(0.676784\pi\) | |||||||
\(284\) | 15.4713 | + | 26.6324i | 0.918052 | + | 1.58034i | ||||
\(285\) | 0.572674 | − | 0.299179i | 0.0339223 | − | 0.0177218i | ||||
\(286\) | 0.241024 | + | 0.370061i | 0.0142520 | + | 0.0218821i | ||||
\(287\) | −0.839732 | − | 2.58443i | −0.0495678 | − | 0.152554i | ||||
\(288\) | 0.990288 | + | 16.7536i | 0.0583533 | + | 0.987215i | ||||
\(289\) | −4.89791 | + | 15.0742i | −0.288112 | + | 0.886718i | ||||
\(290\) | 0.0247550 | − | 0.0667789i | 0.00145366 | − | 0.00392139i | ||||
\(291\) | −1.35184 | − | 0.688794i | −0.0792460 | − | 0.0403778i | ||||
\(292\) | −16.8493 | + | 18.8139i | −0.986031 | + | 1.10100i | ||||
\(293\) | −3.90760 | − | 3.90760i | −0.228284 | − | 0.228284i | 0.583691 | − | 0.811976i | \(-0.301608\pi\) |
−0.811976 | + | 0.583691i | \(0.801608\pi\) | |||||||
\(294\) | −1.08683 | − | 1.20381i | −0.0633851 | − | 0.0702074i | ||||
\(295\) | 9.27711 | − | 0.0945086i | 0.540134 | − | 0.00550250i | ||||
\(296\) | 3.73351 | − | 11.6492i | 0.217006 | − | 0.677098i | ||||
\(297\) | 1.60200 | − | 2.20496i | 0.0929573 | − | 0.127945i | ||||
\(298\) | 5.02164 | − | 23.7811i | 0.290896 | − | 1.37760i | ||||
\(299\) | 0.336950 | + | 0.336950i | 0.0194863 | + | 0.0194863i | ||||
\(300\) | 1.17875 | + | 1.38893i | 0.0680554 | + | 0.0801901i | ||||
\(301\) | −2.02963 | + | 2.02963i | −0.116986 | + | 0.116986i | ||||
\(302\) | 19.3977 | − | 12.6339i | 1.11621 | − | 0.726999i | ||||
\(303\) | 2.58860 | + | 1.88073i | 0.148711 | + | 0.108045i | ||||
\(304\) | 5.30252 | − | 3.48393i | 0.304120 | − | 0.199817i | ||||
\(305\) | 4.24940 | − | 5.97588i | 0.243320 | − | 0.342178i | ||||
\(306\) | 4.49362 | + | 0.229481i | 0.256883 | + | 0.0131185i | ||||
\(307\) | 2.56545 | − | 2.56545i | 0.146418 | − | 0.146418i | −0.630098 | − | 0.776516i | \(-0.716985\pi\) |
0.776516 | + | 0.630098i | \(0.216985\pi\) | |||||||
\(308\) | −4.20347 | + | 0.231560i | −0.239515 | + | 0.0131943i | ||||
\(309\) | −0.743365 | + | 1.45894i | −0.0422886 | + | 0.0829960i | ||||
\(310\) | 2.13752 | + | 18.3055i | 0.121403 | + | 1.03968i | ||||
\(311\) | 6.54533 | + | 2.12671i | 0.371152 | + | 0.120595i | 0.488653 | − | 0.872478i | \(-0.337488\pi\) |
−0.117501 | + | 0.993073i | \(0.537488\pi\) | |||||||
\(312\) | 0.0634212 | + | 0.00978451i | 0.00359052 | + | 0.000553939i | ||||
\(313\) | 32.1357 | − | 10.4415i | 1.81642 | − | 0.590190i | 0.816501 | − | 0.577343i | \(-0.195911\pi\) |
0.999917 | − | 0.0128468i | \(-0.00408937\pi\) | |||||||
\(314\) | −17.7619 | − | 3.75062i | −1.00236 | − | 0.211660i | ||||
\(315\) | 3.89766 | − | 3.97789i | 0.219608 | − | 0.224129i | ||||
\(316\) | −0.843484 | + | 0.489996i | −0.0474497 | + | 0.0275644i | ||||
\(317\) | −3.04183 | + | 19.2053i | −0.170846 | + | 1.07868i | 0.742007 | + | 0.670392i | \(0.233874\pi\) |
−0.912853 | + | 0.408288i | \(0.866126\pi\) | |||||||
\(318\) | −0.841102 | + | 1.04152i | −0.0471667 | + | 0.0584054i | ||||
\(319\) | −0.0456857 | + | 0.0331926i | −0.00255791 | + | 0.00185843i | ||||
\(320\) | 12.8773 | + | 12.4168i | 0.719861 | + | 0.694119i | ||||
\(321\) | 0.125325 | + | 0.0910541i | 0.00699497 | + | 0.00508215i | ||||
\(322\) | −4.38607 | + | 1.18153i | −0.244426 | + | 0.0658439i | ||||
\(323\) | −0.772237 | − | 1.51560i | −0.0429684 | − | 0.0843303i | ||||
\(324\) | 3.66415 | + | 17.0148i | 0.203564 | + | 0.945266i | ||||
\(325\) | −0.548970 | + | 0.293952i | −0.0304514 | + | 0.0163055i | ||||
\(326\) | −0.649865 | − | 6.10458i | −0.0359927 | − | 0.338102i | ||||
\(327\) | −0.841006 | − | 0.273259i | −0.0465077 | − | 0.0151113i | ||||
\(328\) | 8.14103 | − | 4.18925i | 0.449513 | − | 0.231313i | ||||
\(329\) | −4.18212 | + | 5.75619i | −0.230568 | + | 0.317349i | ||||
\(330\) | −0.167528 | − | 1.43470i | −0.00922212 | − | 0.0789774i | ||||
\(331\) | −23.2091 | − | 3.67595i | −1.27569 | − | 0.202049i | −0.518403 | − | 0.855136i | \(-0.673473\pi\) |
−0.757282 | + | 0.653088i | \(0.773473\pi\) | |||||||
\(332\) | −22.8795 | − | 14.7713i | −1.25567 | − | 0.810682i | ||||
\(333\) | 2.00728 | − | 12.6734i | 0.109998 | − | 0.694500i | ||||
\(334\) | 9.34421 | − | 24.4400i | 0.511292 | − | 1.33730i | ||||
\(335\) | 12.3756 | − | 4.16092i | 0.676151 | − | 0.227335i | ||||
\(336\) | −0.382419 | + | 0.477444i | −0.0208627 | + | 0.0260467i | ||||
\(337\) | 1.06664 | + | 3.28277i | 0.0581035 | + | 0.178824i | 0.975896 | − | 0.218236i | \(-0.0700304\pi\) |
−0.917792 | + | 0.397060i | \(0.870030\pi\) | |||||||
\(338\) | 6.55774 | − | 17.1520i | 0.356694 | − | 0.932944i | ||||
\(339\) | −1.00605 | − | 1.97448i | −0.0546409 | − | 0.107239i | ||||
\(340\) | 3.68801 | − | 3.06585i | 0.200010 | − | 0.166269i | ||||
\(341\) | 6.63427 | − | 13.0205i | 0.359266 | − | 0.705099i | ||||
\(342\) | 4.93973 | − | 4.45971i | 0.267110 | − | 0.241154i | ||||
\(343\) | 11.1612i | 0.602647i | ||||||||
\(344\) | −7.84657 | − | 5.65295i | −0.423059 | − | 0.304787i | ||||
\(345\) | −0.496694 | − | 1.47729i | −0.0267411 | − | 0.0795346i | ||||
\(346\) | −10.7677 | + | 18.7080i | −0.578878 | + | 1.00575i | ||||
\(347\) | 4.23269 | + | 26.7242i | 0.227223 | + | 1.43463i | 0.792573 | + | 0.609777i | \(0.208741\pi\) |
−0.565350 | + | 0.824851i | \(0.691259\pi\) | |||||||
\(348\) | −0.000835902 | 0.00816284i | −4.48091e−5 | 0.000437574i | ||||||
\(349\) | 23.7050 | − | 23.7050i | 1.26890 | − | 1.26890i | 0.322240 | − | 0.946658i | \(-0.395564\pi\) |
0.946658 | − | 0.322240i | \(-0.104436\pi\) | |||||||
\(350\) | 0.181911 | − | 5.93327i | 0.00972356 | − | 0.317147i | ||||
\(351\) | 0.135376 | 0.00722581 | ||||||||
\(352\) | −3.04163 | − | 13.8540i | −0.162120 | − | 0.738422i | ||||
\(353\) | −18.3747 | − | 13.3500i | −0.977988 | − | 0.710550i | −0.0207298 | − | 0.999785i | \(-0.506599\pi\) |
−0.957258 | + | 0.289235i | \(0.906599\pi\) | |||||||
\(354\) | −1.03212 | + | 0.278034i | −0.0548566 | + | 0.0147774i | ||||
\(355\) | 34.0647 | + | 5.04016i | 1.80797 | + | 0.267504i | ||||
\(356\) | 11.0733 | − | 12.3644i | 0.586884 | − | 0.655314i | ||||
\(357\) | 0.115966 | + | 0.115966i | 0.00613759 | + | 0.00613759i | ||||
\(358\) | −21.5035 | − | 23.8180i | −1.13649 | − | 1.25882i | ||||
\(359\) | −4.30314 | + | 1.39817i | −0.227111 | + | 0.0737928i | −0.420362 | − | 0.907357i | \(-0.638097\pi\) |
0.193251 | + | 0.981149i | \(0.438097\pi\) | |||||||
\(360\) | 15.3352 | + | 10.8125i | 0.808238 | + | 0.569868i | ||||
\(361\) | 15.6773 | + | 5.09387i | 0.825121 | + | 0.268098i | ||||
\(362\) | −2.10857 | − | 4.71895i | −0.110824 | − | 0.248022i | ||||
\(363\) | 0.389778 | − | 0.764982i | 0.0204580 | − | 0.0401512i | ||||
\(364\) | −0.132028 | − | 0.162153i | −0.00692012 | − | 0.00849910i | ||||
\(365\) | 4.70111 | + | 27.8429i | 0.246068 | + | 1.45736i | ||||
\(366\) | −0.301707 | + | 0.789125i | −0.0157705 | + | 0.0412482i | ||||
\(367\) | −3.37507 | + | 2.45213i | −0.176177 | + | 0.128000i | −0.672379 | − | 0.740207i | \(-0.734728\pi\) |
0.496202 | + | 0.868207i | \(0.334728\pi\) | |||||||
\(368\) | −6.29954 | − | 13.9479i | −0.328386 | − | 0.727084i | ||||
\(369\) | 7.76950 | − | 5.64487i | 0.404464 | − | 0.293860i | ||||
\(370\) | −7.58059 | − | 11.3837i | −0.394096 | − | 0.591812i | ||||
\(371\) | 4.30859 | − | 0.682414i | 0.223691 | − | 0.0354292i | ||||
\(372\) | −0.766250 | − | 1.98032i | −0.0397282 | − | 0.102675i | ||||
\(373\) | −5.54455 | + | 2.82509i | −0.287086 | + | 0.146278i | −0.591603 | − | 0.806229i | \(-0.701505\pi\) |
0.304517 | + | 0.952507i | \(0.401505\pi\) | |||||||
\(374\) | −3.78136 | + | 0.402546i | −0.195529 | + | 0.0208151i | ||||
\(375\) | 2.03577 | − | 0.0622342i | 0.105127 | − | 0.00321376i | ||||
\(376\) | −21.4029 | − | 10.7975i | −1.10377 | − | 0.556838i | ||||
\(377\) | −0.00266763 | 0.000866767i | −0.000137390 | 4.46408e-5i | ||||||
\(378\) | −0.643741 | + | 1.11844i | −0.0331105 | + | 0.0575264i | ||||
\(379\) | −0.176918 | − | 1.11702i | −0.00908768 | − | 0.0573773i | 0.982728 | − | 0.185057i | \(-0.0592470\pi\) |
−0.991815 | + | 0.127680i | \(0.959247\pi\) | |||||||
\(380\) | 0.650700 | − | 7.06362i | 0.0333802 | − | 0.362356i | ||||
\(381\) | −0.0124053 | + | 0.0783237i | −0.000635540 | + | 0.00401264i | ||||
\(382\) | −10.1795 | + | 12.6050i | −0.520827 | + | 0.644927i | ||||
\(383\) | 3.73105 | − | 2.71076i | 0.190648 | − | 0.138514i | −0.488367 | − | 0.872638i | \(-0.662407\pi\) |
0.679015 | + | 0.734125i | \(0.262407\pi\) | |||||||
\(384\) | −1.79446 | − | 1.01377i | −0.0915729 | − | 0.0517338i | ||||
\(385\) | −2.72763 | + | 3.83583i | −0.139013 | + | 0.195492i | ||||
\(386\) | 11.9422 | + | 18.3357i | 0.607843 | + | 0.933263i | ||||
\(387\) | −9.03835 | − | 4.60527i | −0.459445 | − | 0.234099i | ||||
\(388\) | −14.4030 | + | 8.36700i | −0.731204 | + | 0.424770i | ||||
\(389\) | 28.5952 | − | 14.5700i | 1.44983 | − | 0.738728i | 0.460952 | − | 0.887425i | \(-0.347508\pi\) |
0.988883 | + | 0.148697i | \(0.0475080\pi\) | |||||||
\(390\) | 0.0527609 | − | 0.0486186i | 0.00267165 | − | 0.00246190i | ||||
\(391\) | −3.90232 | + | 1.26794i | −0.197349 | + | 0.0641225i | ||||
\(392\) | −17.5752 | + | 2.85589i | −0.887680 | + | 0.144244i | ||||
\(393\) | 0.507809i | 0.0256156i | ||||||||
\(394\) | −1.59146 | + | 1.43681i | −0.0801767 | + | 0.0723856i | ||||
\(395\) | −0.159629 | + | 1.07887i | −0.00803179 | + | 0.0542841i | ||||
\(396\) | −5.36888 | − | 13.8755i | −0.269797 | − | 0.697269i | ||||
\(397\) | 0.363179 | − | 0.0575218i | 0.0182274 | − | 0.00288694i | −0.147314 | − | 0.989090i | \(-0.547063\pi\) |
0.165542 | + | 0.986203i | \(0.447063\pi\) | |||||||
\(398\) | 16.5789 | − | 10.7980i | 0.831027 | − | 0.541255i | ||||
\(399\) | 0.242570 | 0.0121437 | ||||||||
\(400\) | 19.8301 | − | 2.60137i | 0.991505 | − | 0.130068i | ||||
\(401\) | −25.4220 | −1.26951 | −0.634756 | − | 0.772712i | \(-0.718900\pi\) | ||||
−0.634756 | + | 0.772712i | \(0.718900\pi\) | |||||||
\(402\) | −1.26050 | + | 0.820976i | −0.0628681 | + | 0.0409466i | ||||
\(403\) | 0.716908 | − | 0.113547i | 0.0357117 | − | 0.00565618i | ||||
\(404\) | 32.7616 | − | 12.6765i | 1.62995 | − | 0.630681i | ||||
\(405\) | 17.4274 | + | 8.65722i | 0.865974 | + | 0.430181i | ||||
\(406\) | 0.0198462 | − | 0.0179177i | 0.000984951 | − | 0.000889240i | ||||
\(407\) | 10.8444i | 0.537539i | ||||||||
\(408\) | −0.322992 | + | 0.448328i | −0.0159905 | + | 0.0221955i | ||||
\(409\) | −0.250511 | + | 0.0813958i | −0.0123870 | + | 0.00402476i | −0.315204 | − | 0.949024i | \(-0.602073\pi\) |
0.302817 | + | 0.953049i | \(0.402073\pi\) | |||||||
\(410\) | 2.01274 | − | 10.0365i | 0.0994022 | − | 0.495668i | ||||
\(411\) | 2.08755 | − | 1.06366i | 0.102971 | − | 0.0524666i | ||||
\(412\) | 9.02989 | + | 15.5441i | 0.444871 | + | 0.765805i | ||||
\(413\) | 3.10345 | + | 1.58128i | 0.152711 | + | 0.0778099i | ||||
\(414\) | −8.76124 | − | 13.4517i | −0.430592 | − | 0.661117i | ||||
\(415\) | −28.8604 | + | 9.70344i | −1.41670 | + | 0.476323i | ||||
\(416\) | 0.467910 | − | 0.526701i | 0.0229412 | − | 0.0258236i | ||||
\(417\) | 0.446958 | − | 0.324734i | 0.0218876 | − | 0.0159023i | ||||
\(418\) | −3.53378 | + | 4.37580i | −0.172843 | + | 0.214027i | ||||
\(419\) | 5.34513 | − | 33.7478i | 0.261127 | − | 1.64869i | −0.413482 | − | 0.910512i | \(-0.635687\pi\) |
0.674608 | − | 0.738176i | \(-0.264313\pi\) | |||||||
\(420\) | 0.150785 | + | 0.667091i | 0.00735757 | + | 0.0325507i | ||||
\(421\) | 0.764844 | + | 4.82903i | 0.0372762 | + | 0.235353i | 0.999291 | − | 0.0376438i | \(-0.0119852\pi\) |
−0.962015 | + | 0.272997i | \(0.911985\pi\) | |||||||
\(422\) | −9.58311 | + | 16.6498i | −0.466498 | + | 0.810498i | ||||
\(423\) | −23.9145 | − | 7.77029i | −1.16276 | − | 0.377804i | ||||
\(424\) | 4.59781 | + | 13.9600i | 0.223289 | + | 0.677956i | ||||
\(425\) | −0.109237 | − | 5.36089i | −0.00529878 | − | 0.260041i | ||||
\(426\) | −3.94519 | + | 0.419986i | −0.191145 | + | 0.0203484i | ||||
\(427\) | 2.45286 | − | 1.24980i | 0.118702 | − | 0.0604819i | ||||
\(428\) | 1.58613 | − | 0.613725i | 0.0766684 | − | 0.0296655i | ||||
\(429\) | −0.0561876 | + | 0.00889925i | −0.00271276 | + | 0.000429660i | ||||
\(430\) | −10.4109 | + | 2.91858i | −0.502060 | + | 0.140747i | ||||
\(431\) | 32.6825 | − | 23.7452i | 1.57426 | − | 1.14377i | 0.651333 | − | 0.758792i | \(-0.274210\pi\) |
0.922927 | − | 0.384975i | \(-0.125790\pi\) | |||||||
\(432\) | −4.06738 | − | 1.53643i | −0.195692 | − | 0.0739217i | ||||
\(433\) | 18.3788 | − | 13.3530i | 0.883229 | − | 0.641704i | −0.0508746 | − | 0.998705i | \(-0.516201\pi\) |
0.934104 | + | 0.357001i | \(0.116201\pi\) | |||||||
\(434\) | −2.47096 | + | 6.46287i | −0.118610 | + | 0.310227i | ||||
\(435\) | 0.00655279 | + | 0.00642062i | 0.000314182 | + | 0.000307845i | ||||
\(436\) | −7.52846 | + | 6.12980i | −0.360548 | + | 0.293564i | ||||
\(437\) | −2.75520 | + | 5.40739i | −0.131799 | + | 0.258670i | ||||
\(438\) | −1.32721 | − | 2.97028i | −0.0634166 | − | 0.141925i | ||||
\(439\) | 31.4727 | + | 10.2261i | 1.50211 | + | 0.488066i | 0.940633 | − | 0.339425i | \(-0.110233\pi\) |
0.561479 | + | 0.827491i | \(0.310233\pi\) | |||||||
\(440\) | −14.2305 | − | 6.99817i | −0.678413 | − | 0.333625i | ||||
\(441\) | −17.7628 | + | 5.77147i | −0.845846 | + | 0.274832i | ||||
\(442\) | −0.126575 | − | 0.140198i | −0.00602054 | − | 0.00666855i | ||||
\(443\) | 6.74369 | + | 6.74369i | 0.320403 | + | 0.320403i | 0.848921 | − | 0.528519i | \(-0.177252\pi\) |
−0.528519 | + | 0.848921i | \(0.677252\pi\) | |||||||
\(444\) | 1.17383 | + | 1.05126i | 0.0557077 | + | 0.0498906i | ||||
\(445\) | −3.08955 | − | 18.2983i | −0.146459 | − | 0.867420i | ||||
\(446\) | 29.9151 | − | 8.05857i | 1.41652 | − | 0.381584i | ||||
\(447\) | 2.53294 | + | 1.84029i | 0.119804 | + | 0.0870427i | ||||
\(448\) | 2.12646 | + | 6.37034i | 0.100466 | + | 0.300970i | ||||
\(449\) | 31.4116 | 1.48241 | 0.741203 | − | 0.671281i | \(-0.234256\pi\) | ||||
0.741203 | + | 0.671281i | \(0.234256\pi\) | |||||||
\(450\) | 20.1411 | − | 5.86826i | 0.949459 | − | 0.276632i | ||||
\(451\) | −5.73923 | + | 5.73923i | −0.270250 | + | 0.270250i | ||||
\(452\) | −24.2024 | − | 2.47841i | −1.13839 | − | 0.116574i | ||||
\(453\) | 0.466478 | + | 2.94523i | 0.0219170 | + | 0.138379i | ||||
\(454\) | 20.8072 | − | 36.1506i | 0.976530 | − | 1.69663i | ||||
\(455\) | −0.233774 | + | 0.00238152i | −0.0109595 | + | 0.000111647i | ||||
\(456\) | 0.131085 | + | 0.806696i | 0.00613861 | + | 0.0377770i | ||||
\(457\) | 1.36964i | 0.0640690i | 0.999487 | + | 0.0320345i | \(0.0101986\pi\) | ||||
−0.999487 | + | 0.0320345i | \(0.989801\pi\) | |||||||
\(458\) | 13.8872 | − | 12.5378i | 0.648908 | − | 0.585851i | ||||
\(459\) | −0.529204 | + | 1.03862i | −0.0247011 | + | 0.0484787i | ||||
\(460\) | −16.5835 | − | 4.21575i | −0.773210 | − | 0.196560i | ||||
\(461\) | −1.46235 | − | 2.87002i | −0.0681083 | − | 0.133670i | 0.854442 | − | 0.519546i | \(-0.173899\pi\) |
−0.922550 | + | 0.385877i | \(0.873899\pi\) | |||||||
\(462\) | 0.193661 | − | 0.506527i | 0.00900994 | − | 0.0235658i | ||||
\(463\) | −11.7529 | − | 36.1716i | −0.546202 | − | 1.68104i | −0.718114 | − | 0.695925i | \(-0.754994\pi\) |
0.171912 | − | 0.985112i | \(-0.445006\pi\) | |||||||
\(464\) | 0.0703123 | + | 0.0563183i | 0.00326417 | + | 0.00261451i | ||||
\(465\) | −2.26519 | − | 0.710576i | −0.105046 | − | 0.0329522i | ||||
\(466\) | −5.96678 | + | 15.6063i | −0.276406 | + | 0.722947i | ||||
\(467\) | 4.59680 | − | 29.0231i | 0.212715 | − | 1.34303i | −0.617934 | − | 0.786230i | \(-0.712030\pi\) |
0.830648 | − | 0.556797i | \(-0.187970\pi\) | |||||||
\(468\) | 0.400827 | − | 0.620846i | 0.0185282 | − | 0.0286986i | ||||
\(469\) | 4.84139 | + | 0.766801i | 0.223555 | + | 0.0354076i | ||||
\(470\) | −24.3574 | + | 11.1827i | −1.12353 | + | 0.515819i | ||||
\(471\) | 1.37450 | − | 1.89183i | 0.0633334 | − | 0.0871710i | ||||
\(472\) | −3.58165 | + | 11.1754i | −0.164859 | + | 0.514390i | ||||
\(473\) | 8.15356 | + | 2.64925i | 0.374901 | + | 0.121813i | ||||
\(474\) | −0.0133015 | − | 0.124949i | −0.000610958 | − | 0.00573911i | ||||
\(475\) | −5.72101 | − | 5.49251i | −0.262498 | − | 0.252014i | ||||
\(476\) | 1.76018 | − | 0.379056i | 0.0806775 | − | 0.0173740i | ||||
\(477\) | 6.99906 | + | 13.7364i | 0.320465 | + | 0.628948i | ||||
\(478\) | −27.0556 | + | 7.28829i | −1.23750 | + | 0.333359i | ||||
\(479\) | 11.0192 | + | 8.00595i | 0.503482 | + | 0.365801i | 0.810346 | − | 0.585952i | \(-0.199279\pi\) |
−0.306863 | + | 0.951754i | \(0.599279\pi\) | |||||||
\(480\) | −2.13701 | + | 0.861950i | −0.0975405 | + | 0.0393425i | ||||
\(481\) | −0.435775 | + | 0.316609i | −0.0198696 | + | 0.0144361i | ||||
\(482\) | 1.66225 | − | 2.05832i | 0.0757133 | − | 0.0937540i | ||||
\(483\) | 0.0915339 | − | 0.577922i | 0.00416494 | − | 0.0262964i | ||||
\(484\) | −4.73475 | − | 8.15046i | −0.215216 | − | 0.370475i | ||||
\(485\) | −2.72576 | + | 18.4225i | −0.123770 | + | 0.836522i | ||||
\(486\) | −6.70576 | − | 1.41599i | −0.304179 | − | 0.0642307i | ||||
\(487\) | −20.5941 | + | 6.69142i | −0.933206 | + | 0.303217i | −0.735873 | − | 0.677119i | \(-0.763228\pi\) |
−0.197333 | + | 0.980336i | \(0.563228\pi\) | |||||||
\(488\) | 5.48187 | + | 7.48190i | 0.248153 | + | 0.338690i | ||||
\(489\) | 0.752093 | + | 0.244370i | 0.0340108 | + | 0.0110508i | ||||
\(490\) | −9.75437 | + | 17.3538i | −0.440658 | + | 0.783967i | ||||
\(491\) | 15.6837 | − | 30.7810i | 0.707796 | − | 1.38913i | −0.204200 | − | 0.978929i | \(-0.565459\pi\) |
0.911996 | − | 0.410199i | \(-0.134541\pi\) | |||||||
\(492\) | 0.0648707 | + | 1.17759i | 0.00292460 | + | 0.0530899i | ||||
\(493\) | 0.0170782 | − | 0.0170782i | 0.000769162 | − | 0.000769162i | ||||
\(494\) | −0.279008 | − | 0.0142484i | −0.0125532 | − | 0.000641067i | ||||
\(495\) | −15.8715 | − | 4.97879i | −0.713370 | − | 0.223780i | ||||
\(496\) | −22.8283 | − | 4.72494i | −1.02502 | − | 0.212156i | ||||
\(497\) | 10.4591 | + | 7.59896i | 0.469153 | + | 0.340860i | ||||
\(498\) | 2.93954 | − | 1.91455i | 0.131724 | − | 0.0857930i | ||||
\(499\) | −18.1524 | + | 18.1524i | −0.812611 | + | 0.812611i | −0.985025 | − | 0.172414i | \(-0.944843\pi\) |
0.172414 | + | 0.985025i | \(0.444843\pi\) | |||||||
\(500\) | 11.5487 | − | 19.1475i | 0.516472 | − | 0.856304i | ||||
\(501\) | 2.38328 | + | 2.38328i | 0.106477 | + | 0.106477i | ||||
\(502\) | 2.83419 | − | 13.4219i | 0.126496 | − | 0.599051i | ||||
\(503\) | −18.5065 | + | 25.4720i | −0.825162 | + | 1.13574i | 0.163642 | + | 0.986520i | \(0.447676\pi\) |
−0.988804 | + | 0.149219i | \(0.952324\pi\) | |||||||
\(504\) | 3.22326 | + | 6.26380i | 0.143575 | + | 0.279012i | ||||
\(505\) | 11.7555 | − | 37.4744i | 0.523112 | − | 1.66759i | ||||
\(506\) | 9.09185 | + | 10.0704i | 0.404182 | + | 0.447685i | ||||
\(507\) | 1.67258 | + | 1.67258i | 0.0742819 | + | 0.0742819i | ||||
\(508\) | 0.648547 | + | 0.580824i | 0.0287746 | + | 0.0257699i | ||||
\(509\) | 15.1969 | + | 7.74323i | 0.673592 | + | 0.343212i | 0.757104 | − | 0.653294i | \(-0.226614\pi\) |
−0.0835116 | + | 0.996507i | \(0.526614\pi\) | |||||||
\(510\) | 0.166759 | + | 0.594848i | 0.00738420 | + | 0.0263403i | ||||
\(511\) | −3.27589 | + | 10.0821i | −0.144917 | + | 0.446008i | ||||
\(512\) | −20.0362 | + | 10.5143i | −0.885483 | + | 0.464672i | ||||
\(513\) | 0.532782 | + | 1.63973i | 0.0235229 | + | 0.0723960i | ||||
\(514\) | −15.2012 | − | 23.3394i | −0.670494 | − | 1.02946i | ||||
\(515\) | 19.8820 | + | 2.94172i | 0.876107 | + | 0.129627i | ||||
\(516\) | 1.07717 | − | 0.625747i | 0.0474197 | − | 0.0275470i | ||||
\(517\) | 20.9898 | + | 3.32445i | 0.923129 | + | 0.146209i | ||||
\(518\) | −0.543541 | − | 5.10582i | −0.0238818 | − | 0.224337i | ||||
\(519\) | −1.63434 | − | 2.24948i | −0.0717395 | − | 0.0987410i | ||||
\(520\) | −0.134251 | − | 0.776156i | −0.00588731 | − | 0.0340367i | ||||
\(521\) | −15.1679 | + | 20.8768i | −0.664518 | + | 0.914630i | −0.999620 | − | 0.0275512i | \(-0.991229\pi\) |
0.335102 | + | 0.942182i | \(0.391229\pi\) | |||||||
\(522\) | 0.0818974 | + | 0.0471377i | 0.00358455 | + | 0.00206316i | ||||
\(523\) | −2.08351 | + | 1.06160i | −0.0911053 | + | 0.0464205i | −0.498949 | − | 0.866631i | \(-0.666281\pi\) |
0.407844 | + | 0.913052i | \(0.366281\pi\) | |||||||
\(524\) | 4.68378 | + | 3.02392i | 0.204612 | + | 0.132100i | ||||
\(525\) | 0.688235 | + | 0.333190i | 0.0300370 | + | 0.0145416i | ||||
\(526\) | −21.6291 | − | 17.4671i | −0.943072 | − | 0.761601i | ||||
\(527\) | −1.93136 | + | 5.94410i | −0.0841312 | + | 0.258929i | ||||
\(528\) | 1.78917 | + | 0.370317i | 0.0778636 | + | 0.0161160i | ||||
\(529\) | −6.76399 | − | 4.91433i | −0.294086 | − | 0.213666i | ||||
\(530\) | 15.4079 | + | 5.71170i | 0.669275 | + | 0.248101i | ||||
\(531\) | −1.92563 | + | 12.1580i | −0.0835653 | + | 0.527610i | ||||
\(532\) | 1.44446 | − | 2.23735i | 0.0626255 | − | 0.0970012i | ||||
\(533\) | −0.398186 | − | 0.0630664i | −0.0172473 | − | 0.00273171i | ||||
\(534\) | 0.872238 | + | 1.95206i | 0.0377454 | + | 0.0844737i | ||||
\(535\) | 0.569133 | − | 1.81429i | 0.0246058 | − | 0.0784388i | ||||
\(536\) | 0.0661969 | + | 16.5150i | 0.00285927 | + | 0.713340i | ||||
\(537\) | 3.93118 | − | 1.27732i | 0.169643 | − | 0.0551203i | ||||
\(538\) | 22.7547 | − | 10.1675i | 0.981024 | − | 0.438351i | ||||
\(539\) | 14.0643 | − | 7.16612i | 0.605792 | − | 0.308667i | ||||
\(540\) | −4.17824 | + | 2.48448i | −0.179803 | + | 0.106915i | ||||
\(541\) | −2.46372 | − | 1.25533i | −0.105924 | − | 0.0539708i | 0.400226 | − | 0.916417i | \(-0.368932\pi\) |
−0.506150 | + | 0.862446i | \(0.668932\pi\) | |||||||
\(542\) | −1.61900 | + | 31.7027i | −0.0695419 | + | 1.36175i | ||||
\(543\) | 0.665788 | 0.0285717 | ||||||||
\(544\) | 2.21179 | + | 5.64883i | 0.0948298 | + | 0.242192i | ||||
\(545\) | 0.110570 | + | 10.8537i | 0.00473629 | + | 0.464922i | ||||
\(546\) | 0.0260084 | − | 0.00700619i | 0.00111306 | − | 0.000299837i | ||||
\(547\) | 22.5925 | − | 3.57830i | 0.965986 | − | 0.152997i | 0.346539 | − | 0.938035i | \(-0.387357\pi\) |
0.619447 | + | 0.785038i | \(0.287357\pi\) | |||||||
\(548\) | 2.62034 | − | 25.5885i | 0.111936 | − | 1.09309i | ||||
\(549\) | 6.87947 | + | 6.87947i | 0.293608 | + | 0.293608i | ||||
\(550\) | −16.0368 | + | 7.56135i | −0.683811 | + | 0.322417i | ||||
\(551\) | − | 0.0357229i | − | 0.00152185i | ||||||
\(552\) | 1.97142 | − | 0.00790200i | 0.0839090 | − | 0.000336331i | ||||
\(553\) | −0.240669 | + | 0.331252i | −0.0102343 | + | 0.0140863i | ||||
\(554\) | 28.7214 | + | 16.5312i | 1.22026 | + | 0.702343i | ||||
\(555\) | 1.73717 | − | 0.293311i | 0.0737388 | − | 0.0124504i | ||||
\(556\) | −0.333625 | − | 6.05625i | −0.0141488 | − | 0.256842i | ||||
\(557\) | −22.2364 | + | 22.2364i | −0.942188 | + | 0.942188i | −0.998418 | − | 0.0562298i | \(-0.982092\pi\) |
0.0562298 | + | 0.998418i | \(0.482092\pi\) | |||||||
\(558\) | −24.4210 | − | 1.24713i | −1.03382 | − | 0.0527953i | ||||
\(559\) | 0.131589 | + | 0.404990i | 0.00556563 | + | 0.0171293i | ||||
\(560\) | 7.05081 | + | 2.58164i | 0.297951 | + | 0.109094i | ||||
\(561\) | 0.151370 | − | 0.465869i | 0.00639084 | − | 0.0196690i | ||||
\(562\) | −11.7269 | + | 30.6721i | −0.494671 | + | 1.29383i | ||||
\(563\) | −0.403748 | − | 0.205720i | −0.0170159 | − | 0.00867005i | 0.445462 | − | 0.895301i | \(-0.353039\pi\) |
−0.462478 | + | 0.886631i | \(0.653039\pi\) | |||||||
\(564\) | 2.39459 | − | 1.94972i | 0.100831 | − | 0.0820981i | ||||
\(565\) | −19.0368 | + | 19.4287i | −0.800885 | + | 0.817370i | ||||
\(566\) | −7.52875 | − | 16.8492i | −0.316457 | − | 0.708226i | ||||
\(567\) | 4.29410 | + | 5.91032i | 0.180335 | + | 0.248210i | ||||
\(568\) | −19.6192 | + | 38.8894i | −0.823202 | + | 1.63176i | ||||
\(569\) | −11.4397 | − | 15.7454i | −0.479578 | − | 0.660083i | 0.498846 | − | 0.866691i | \(-0.333758\pi\) |
−0.978424 | + | 0.206608i | \(0.933758\pi\) | |||||||
\(570\) | 0.796537 | + | 0.447723i | 0.0333633 | + | 0.0187531i | ||||
\(571\) | 4.49915 | + | 28.4065i | 0.188283 | + | 1.18877i | 0.882958 | + | 0.469451i | \(0.155548\pi\) |
−0.694675 | + | 0.719324i | \(0.744452\pi\) | |||||||
\(572\) | −0.252506 | + | 0.571240i | −0.0105578 | + | 0.0238847i | ||||
\(573\) | −0.947501 | − | 1.85957i | −0.0395824 | − | 0.0776848i | ||||
\(574\) | 2.41450 | − | 2.98982i | 0.100779 | − | 0.124793i | ||||
\(575\) | −15.2447 | + | 11.5577i | −0.635749 | + | 0.481988i | ||||
\(576\) | −19.0892 | + | 14.1043i | −0.795382 | + | 0.587678i | ||||
\(577\) | −3.40354 | + | 10.4750i | −0.141691 | + | 0.436081i | −0.996571 | − | 0.0827459i | \(-0.973631\pi\) |
0.854879 | + | 0.518827i | \(0.173631\pi\) | |||||||
\(578\) | −21.6437 | + | 5.83041i | −0.900258 | + | 0.242513i | ||||
\(579\) | −2.78398 | + | 0.440939i | −0.115698 | + | 0.0183248i | ||||
\(580\) | 0.0982413 | − | 0.0222059i | 0.00407925 | − | 0.000922050i | ||||
\(581\) | −11.2903 | − | 1.78821i | −0.468401 | − | 0.0741875i | ||||
\(582\) | −0.227132 | − | 2.13359i | −0.00941492 | − | 0.0884401i | ||||
\(583\) | −7.65851 | − | 10.5410i | −0.317183 | − | 0.436565i | ||||
\(584\) | −35.2997 | − | 5.44597i | −1.46071 | − | 0.225356i | ||||
\(585\) | −0.263307 | − | 0.783140i | −0.0108864 | − | 0.0323789i | ||||
\(586\) | 1.61466 | − | 7.64658i | 0.0667008 | − | 0.315877i | ||||
\(587\) | 4.33368 | − | 8.50532i | 0.178870 | − | 0.351052i | −0.784111 | − | 0.620620i | \(-0.786881\pi\) |
0.962981 | + | 0.269568i | \(0.0868809\pi\) | |||||||
\(588\) | 0.587710 | − | 2.21704i | 0.0242367 | − | 0.0914293i | ||||
\(589\) | 4.19679 | + | 8.23666i | 0.172926 | + | 0.339386i | ||||
\(590\) | 7.27226 | + | 10.9207i | 0.299394 | + | 0.449598i | ||||
\(591\) | −0.0853474 | − | 0.262672i | −0.00351072 | − | 0.0108049i | ||||
\(592\) | 16.6863 | − | 4.56679i | 0.685802 | − | 0.187694i | ||||
\(593\) | −26.7515 | −1.09855 | −0.549276 | − | 0.835641i | \(-0.685096\pi\) | ||||
−0.549276 | + | 0.835641i | \(0.685096\pi\) | |||||||
\(594\) | 3.84939 | + | 0.196581i | 0.157943 | + | 0.00806583i | ||||
\(595\) | 0.895587 | − | 1.80286i | 0.0367155 | − | 0.0739100i | ||||
\(596\) | 32.0571 | − | 12.4040i | 1.31311 | − | 0.508086i | ||||
\(597\) | 0.398692 | + | 2.51724i | 0.0163174 | + | 0.103024i | ||||
\(598\) | −0.139231 | + | 0.659359i | −0.00569356 | + | 0.0269632i | ||||
\(599\) | 14.5744i | 0.595494i | 0.954645 | + | 0.297747i | \(0.0962353\pi\) | ||||
−0.954645 | + | 0.297747i | \(0.903765\pi\) | |||||||
\(600\) | −0.736141 | + | 2.46886i | −0.0300528 | + | 0.100791i | ||||
\(601\) | 19.3391i | 0.788858i | 0.918927 | + | 0.394429i | \(0.129058\pi\) | ||||
−0.918927 | + | 0.394429i | \(0.870942\pi\) | |||||||
\(602\) | −3.97167 | − | 0.838660i | −0.161873 | − | 0.0341812i | ||||
\(603\) | 2.70994 | + | 17.1099i | 0.110357 | + | 0.696769i | ||||
\(604\) | 29.9431 | + | 13.2358i | 1.21837 | + | 0.538555i | ||||
\(605\) | −10.4250 | − | 1.54247i | −0.423836 | − | 0.0627102i | ||||
\(606\) | −0.230784 | + | 4.51915i | −0.00937498 | + | 0.183578i | ||||
\(607\) | −40.1209 | −1.62846 | −0.814229 | − | 0.580543i | \(-0.802840\pi\) | ||||
−0.814229 | + | 0.580543i | \(0.802840\pi\) | |||||||
\(608\) | 8.22115 | + | 3.59468i | 0.333412 | + | 0.145783i | ||||
\(609\) | 0.00106432 | + | 0.00327564i | 4.31284e−5 | + | 0.000132736i | ||||
\(610\) | 10.3614 | + | 0.423361i | 0.419520 | + | 0.0171414i | ||||
\(611\) | 0.479216 | + | 0.940515i | 0.0193870 | + | 0.0380492i | ||||
\(612\) | 3.19633 | + | 5.50219i | 0.129204 | + | 0.222413i | ||||
\(613\) | −12.5737 | + | 24.6772i | −0.507845 | + | 0.996702i | 0.484684 | + | 0.874690i | \(0.338935\pi\) |
−0.992529 | + | 0.122012i | \(0.961065\pi\) | |||||||
\(614\) | 5.02019 | + | 1.06007i | 0.202598 | + | 0.0427808i | ||||
\(615\) | 1.07460 | + | 0.764136i | 0.0433319 | + | 0.0308129i | ||||
\(616\) | −3.51873 | − | 4.80252i | −0.141774 | − | 0.193499i | ||||
\(617\) | −20.3678 | − | 28.0338i | −0.819976 | − | 1.12860i | −0.989707 | − | 0.143109i | \(-0.954290\pi\) |
0.169731 | − | 0.985490i | \(-0.445710\pi\) | |||||||
\(618\) | −2.30263 | + | 0.245127i | −0.0926252 | + | 0.00986044i | ||||
\(619\) | 0.895857 | + | 0.141890i | 0.0360075 | + | 0.00570303i | 0.174412 | − | 0.984673i | \(-0.444197\pi\) |
−0.138405 | + | 0.990376i | \(0.544197\pi\) | |||||||
\(620\) | −20.0428 | + | 16.6616i | −0.804938 | + | 0.669146i | ||||
\(621\) | 4.10770 | − | 0.650596i | 0.164836 | − | 0.0261075i | ||||
\(622\) | 2.53161 | + | 9.39785i | 0.101508 | + | 0.376819i | ||||
\(623\) | 2.15290 | − | 6.62595i | 0.0862541 | − | 0.265463i | ||||
\(624\) | 0.0373548 | + | 0.0827079i | 0.00149539 | + | 0.00331097i | ||||
\(625\) | −8.68758 | − | 23.4420i | −0.347503 | − | 0.937679i | ||||
\(626\) | 37.1765 | + | 30.0228i | 1.48587 | + | 1.19995i | ||||
\(627\) | −0.328923 | − | 0.645548i | −0.0131359 | − | 0.0257807i | ||||
\(628\) | −9.26442 | − | 23.9432i | −0.369690 | − | 0.955438i | ||||
\(629\) | −0.725560 | − | 4.58101i | −0.0289300 | − | 0.182657i | ||||
\(630\) | 7.72221 | + | 1.54863i | 0.307660 | + | 0.0616987i | ||||
\(631\) | 8.51416 | + | 11.7187i | 0.338943 | + | 0.466515i | 0.944132 | − | 0.329566i | \(-0.106903\pi\) |
−0.605189 | + | 0.796082i | \(0.706903\pi\) | |||||||
\(632\) | −1.23168 | − | 0.621365i | −0.0489935 | − | 0.0247166i | ||||
\(633\) | −1.45453 | − | 2.00199i | −0.0578125 | − | 0.0795721i | ||||
\(634\) | −25.1066 | + | 11.2184i | −0.997112 | + | 0.445540i | ||||
\(635\) | 0.959792 | − | 0.162055i | 0.0380882 | − | 0.00643097i | ||||
\(636\) | −1.88341 | − | 0.192867i | −0.0746820 | − | 0.00764768i | ||||
\(637\) | 0.698579 | + | 0.355944i | 0.0276787 | + | 0.0141030i | ||||
\(638\) | −0.0745954 | − | 0.0285202i | −0.00295326 | − | 0.00112912i | ||||
\(639\) | −14.1187 | + | 43.4529i | −0.558528 | + | 1.71897i | ||||
\(640\) | −4.77531 | + | 24.8434i | −0.188761 | + | 0.982023i | ||||
\(641\) | −6.17254 | − | 18.9971i | −0.243801 | − | 0.750342i | −0.995831 | − | 0.0912136i | \(-0.970925\pi\) |
0.752031 | − | 0.659128i | \(-0.229075\pi\) | |||||||
\(642\) | −0.0111733 | + | 0.218791i | −0.000440974 | + | 0.00863501i | ||||
\(643\) | 6.55512 | − | 6.55512i | 0.258509 | − | 0.258509i | −0.565939 | − | 0.824447i | \(-0.691486\pi\) |
0.824447 | + | 0.565939i | \(0.191486\pi\) | |||||||
\(644\) | −4.78540 | − | 4.28569i | −0.188571 | − | 0.168880i | ||||
\(645\) | 0.203853 | − | 1.37777i | 0.00802671 | − | 0.0542497i | ||||
\(646\) | 1.20000 | − | 2.08489i | 0.0472135 | − | 0.0820291i | ||||
\(647\) | 14.6143 | − | 20.1148i | 0.574546 | − | 0.790795i | −0.418538 | − | 0.908199i | \(-0.637457\pi\) |
0.993084 | + | 0.117404i | \(0.0374572\pi\) | |||||||
\(648\) | −17.3350 | + | 17.4745i | −0.680981 | + | 0.686462i | ||||
\(649\) | − | 10.4034i | − | 0.408368i | ||||||
\(650\) | −0.772048 | − | 0.423667i | −0.0302822 | − | 0.0166176i | ||||
\(651\) | −0.630229 | − | 0.630229i | −0.0247006 | − | 0.0247006i | ||||
\(652\) | 6.73253 | − | 5.48175i | 0.263666 | − | 0.214682i | ||||
\(653\) | −10.3387 | + | 1.63749i | −0.404584 | + | 0.0640798i | −0.355410 | − | 0.934710i | \(-0.615659\pi\) |
−0.0491739 | + | 0.998790i | \(0.515659\pi\) | |||||||
\(654\) | −0.325285 | − | 1.20752i | −0.0127196 | − | 0.0472179i | ||||
\(655\) | 5.90816 | − | 1.98644i | 0.230851 | − | 0.0776167i | ||||
\(656\) | 11.2478 | + | 6.41402i | 0.439153 | + | 0.250425i | ||||
\(657\) | −37.4648 | −1.46164 | ||||||||
\(658\) | −10.0491 | − | 0.513188i | −0.391754 | − | 0.0200062i | ||||
\(659\) | −16.9195 | − | 8.62091i | −0.659089 | − | 0.335823i | 0.0922528 | − | 0.995736i | \(-0.470593\pi\) |
−0.751342 | + | 0.659913i | \(0.770593\pi\) | |||||||
\(660\) | 1.57085 | − | 1.30585i | 0.0611454 | − | 0.0508302i | ||||
\(661\) | −21.3178 | + | 10.8620i | −0.829166 | + | 0.422481i | −0.816435 | − | 0.577438i | \(-0.804053\pi\) |
−0.0127314 | + | 0.999919i | \(0.504053\pi\) | |||||||
\(662\) | −13.5571 | − | 30.3406i | −0.526912 | − | 1.17922i | ||||
\(663\) | 0.0231399 | − | 0.00751860i | 0.000898678 | − | 0.000291998i | ||||
\(664\) | −0.154374 | − | 38.5137i | −0.00599086 | − | 1.49462i | ||||
\(665\) | −0.948883 | − | 2.82221i | −0.0367961 | − | 0.109441i | ||||
\(666\) | 16.5676 | − | 7.40293i | 0.641983 | − | 0.286858i | ||||
\(667\) | −0.0851097 | − | 0.0134800i | −0.00329546 | − | 0.000521949i | ||||
\(668\) | 36.1742 | − | 7.79015i | 1.39962 | − | 0.301410i | ||||
\(669\) | −0.624305 | + | 3.94170i | −0.0241370 | + | 0.152395i | ||||
\(670\) | 14.4825 | + | 11.4540i | 0.559510 | + | 0.442505i | ||||
\(671\) | −6.65212 | − | 4.83305i | −0.256802 | − | 0.186578i | ||||
\(672\) | −0.860944 | − | 0.0846778i | −0.0332116 | − | 0.00326652i | ||||
\(673\) | −0.669587 | + | 2.06078i | −0.0258107 | + | 0.0794371i | −0.963132 | − | 0.269029i | \(-0.913297\pi\) |
0.937321 | + | 0.348466i | \(0.113297\pi\) | |||||||
\(674\) | −3.06693 | + | 3.79771i | −0.118134 | + | 0.146282i | ||||
\(675\) | −0.740667 | + | 5.38417i | −0.0285083 | + | 0.207237i | ||||
\(676\) | 25.3870 | − | 5.46711i | 0.976422 | − | 0.210274i | ||||
\(677\) | 16.3218 | − | 8.31640i | 0.627300 | − | 0.319625i | −0.111282 | − | 0.993789i | \(-0.535496\pi\) |
0.738582 | + | 0.674164i | \(0.235496\pi\) | |||||||
\(678\) | 1.56332 | − | 2.71613i | 0.0600391 | − | 0.104312i | ||||
\(679\) | −4.10958 | + | 5.65635i | −0.157711 | + | 0.217071i | ||||
\(680\) | 6.47960 | + | 2.00412i | 0.248481 | + | 0.0768545i | ||||
\(681\) | 3.15814 | + | 4.34680i | 0.121020 | + | 0.166570i | ||||
\(682\) | 20.5501 | − | 2.18767i | 0.786905 | − | 0.0837702i | ||||
\(683\) | −39.1145 | − | 6.19512i | −1.49667 | − | 0.237050i | −0.646240 | − | 0.763134i | \(-0.723660\pi\) |
−0.850433 | + | 0.526084i | \(0.823660\pi\) | |||||||
\(684\) | 9.09747 | + | 2.41162i | 0.347850 | + | 0.0922107i | ||||
\(685\) | −20.5413 | − | 20.1270i | −0.784844 | − | 0.769015i | ||||
\(686\) | −13.2263 | + | 8.61442i | −0.504983 | + | 0.328900i | ||||
\(687\) | 0.744750 | + | 2.29210i | 0.0284140 | + | 0.0874492i | ||||
\(688\) | 0.642775 | − | 13.6615i | 0.0245056 | − | 0.520839i | ||||
\(689\) | 0.199989 | − | 0.615502i | 0.00761896 | − | 0.0234487i | ||||
\(690\) | 1.36727 | − | 1.72880i | 0.0520512 | − | 0.0658142i | ||||
\(691\) | 8.11243 | + | 4.13349i | 0.308612 | + | 0.157245i | 0.601436 | − | 0.798921i | \(-0.294595\pi\) |
−0.292825 | + | 0.956166i | \(0.594595\pi\) | |||||||
\(692\) | −30.4802 | + | 1.67909i | −1.15869 | + | 0.0638293i | ||||
\(693\) | −4.41582 | − | 4.41582i | −0.167743 | − | 0.167743i | ||||
\(694\) | −28.4020 | + | 25.6421i | −1.07813 | + | 0.973361i | ||||
\(695\) | −5.52655 | − | 3.92989i | −0.209634 | − | 0.149069i | ||||
\(696\) | −0.0103184 | + | 0.00530968i | −0.000391117 | + | 0.000201263i | ||||
\(697\) | 2.04042 | − | 2.80840i | 0.0772866 | − | 0.106376i | ||||
\(698\) | 46.3870 | + | 9.79511i | 1.75578 | + | 0.370750i | ||||
\(699\) | −1.52185 | − | 1.52185i | −0.0575618 | − | 0.0575618i | ||||
\(700\) | 7.17150 | − | 4.36384i | 0.271057 | − | 0.164938i | ||||
\(701\) | −19.7916 | + | 19.7916i | −0.747517 | + | 0.747517i | −0.974012 | − | 0.226495i | \(-0.927273\pi\) |
0.226495 | + | 0.974012i | \(0.427273\pi\) | |||||||
\(702\) | 0.104486 | + | 0.160424i | 0.00394355 | + | 0.00605481i | ||||
\(703\) | −5.54995 | − | 4.03227i | −0.209320 | − | 0.152080i | ||||
\(704\) | 14.0698 | − | 14.2972i | 0.530276 | − | 0.538847i | ||||
\(705\) | −0.0351692 | − | 3.45226i | −0.00132455 | − | 0.130020i | ||||
\(706\) | 1.63818 | − | 32.0784i | 0.0616538 | − | 1.20729i | ||||
\(707\) | 10.4263 | − | 10.4263i | 0.392120 | − | 0.392120i | ||||
\(708\) | −1.12609 | − | 1.00850i | −0.0423211 | − | 0.0379018i | ||||
\(709\) | −1.93763 | + | 3.80282i | −0.0727694 | + | 0.142818i | −0.924525 | − | 0.381121i | \(-0.875538\pi\) |
0.851756 | + | 0.523939i | \(0.175538\pi\) | |||||||
\(710\) | 20.3191 | + | 44.2578i | 0.762562 | + | 1.66097i | ||||
\(711\) | −1.37621 | − | 0.447158i | −0.0516120 | − | 0.0167697i | ||||
\(712\) | 23.1988 | + | 3.57907i | 0.869412 | + | 0.134131i | ||||
\(713\) | 21.2075 | − | 6.89072i | 0.794226 | − | 0.258060i | ||||
\(714\) | −0.0479184 | + | 0.226929i | −0.00179330 | + | 0.00849259i | ||||
\(715\) | 0.323333 | + | 0.618909i | 0.0120920 | + | 0.0231459i | ||||
\(716\) | 11.6282 | − | 43.8655i | 0.434565 | − | 1.63933i | ||||
\(717\) | 0.564630 | − | 3.56494i | 0.0210865 | − | 0.133135i | ||||
\(718\) | −4.97812 | − | 4.02020i | −0.185782 | − | 0.150033i | ||||
\(719\) | 21.1143 | − | 15.3404i | 0.787430 | − | 0.572101i | −0.119770 | − | 0.992802i | \(-0.538216\pi\) |
0.907200 | + | 0.420700i | \(0.138216\pi\) | |||||||
\(720\) | −0.977062 | + | 26.5180i | −0.0364130 | + | 0.988267i | ||||
\(721\) | 6.10449 | + | 4.43517i | 0.227343 | + | 0.165174i | ||||
\(722\) | 6.06368 | + | 22.5096i | 0.225667 | + | 0.837721i | ||||
\(723\) | 0.154721 | + | 0.303658i | 0.00575415 | + | 0.0112932i | ||||
\(724\) | 3.96466 | − | 6.14090i | 0.147345 | − | 0.228225i | ||||
\(725\) | 0.0490683 | − | 0.101355i | 0.00182235 | − | 0.00376424i | ||||
\(726\) | 1.20736 | − | 0.128530i | 0.0448095 | − | 0.00477021i | ||||
\(727\) | 22.9210 | + | 7.44750i | 0.850094 | + | 0.276212i | 0.701485 | − | 0.712684i | \(-0.252521\pi\) |
0.148609 | + | 0.988896i | \(0.452521\pi\) | |||||||
\(728\) | 0.0902540 | − | 0.281609i | 0.00334504 | − | 0.0104371i | ||||
\(729\) | −14.8266 | + | 20.4070i | −0.549132 | + | 0.755815i | ||||
\(730\) | −29.3663 | + | 27.0607i | −1.08689 | + | 1.00156i | ||||
\(731\) | −3.62155 | − | 0.573597i | −0.133948 | − | 0.0212153i | ||||
\(732\) | −1.16800 | + | 0.251530i | −0.0431705 | + | 0.00929681i | ||||
\(733\) | 6.48474 | − | 40.9430i | 0.239519 | − | 1.51227i | −0.515686 | − | 0.856778i | \(-0.672463\pi\) |
0.755206 | − | 0.655488i | \(-0.227537\pi\) | |||||||
\(734\) | −5.51079 | − | 2.10695i | −0.203407 | − | 0.0777690i | ||||
\(735\) | −1.52834 | − | 2.05914i | −0.0563736 | − | 0.0759523i | ||||
\(736\) | 11.6666 | − | 18.2304i | 0.430035 | − | 0.671981i | ||||
\(737\) | −4.52421 | − | 13.9241i | −0.166652 | − | 0.512901i | ||||
\(738\) | 12.6860 | + | 4.85026i | 0.466978 | + | 0.178540i | ||||
\(739\) | 12.9901 | + | 25.4945i | 0.477848 | + | 0.937829i | 0.996560 | + | 0.0828799i | \(0.0264118\pi\) |
−0.518712 | + | 0.854949i | \(0.673588\pi\) | |||||||
\(740\) | 7.63920 | − | 17.7694i | 0.280823 | − | 0.653216i | ||||
\(741\) | 0.0163377 | − | 0.0320646i | 0.000600181 | − | 0.00117792i | ||||
\(742\) | 4.13414 | + | 4.57911i | 0.151769 | + | 0.168104i | ||||
\(743\) | − | 25.1973i | − | 0.924398i | −0.886776 | − | 0.462199i | \(-0.847061\pi\) | ||
0.886776 | − | 0.462199i | \(-0.152939\pi\) | |||||||
\(744\) | 1.75533 | − | 2.43648i | 0.0643534 | − | 0.0893256i | ||||
\(745\) | 11.5027 | − | 36.6686i | 0.421427 | − | 1.34343i | ||||
\(746\) | −7.62721 | − | 4.38999i | −0.279252 | − | 0.160729i | ||||
\(747\) | −6.31969 | − | 39.9010i | −0.231226 | − | 1.45990i | ||||
\(748\) | −3.39556 | − | 4.17033i | −0.124154 | − | 0.152482i | ||||
\(749\) | 0.504780 | − | 0.504780i | 0.0184442 | − | 0.0184442i | ||||
\(750\) | 1.64500 | + | 2.36442i | 0.0600669 | + | 0.0863363i | ||||
\(751\) | 18.7926 | 0.685752 | 0.342876 | − | 0.939381i | \(-0.388599\pi\) | ||||
0.342876 | + | 0.939381i | \(0.388599\pi\) | |||||||
\(752\) | −3.72386 | − | 33.6968i | −0.135795 | − | 1.22880i | ||||
\(753\) | 1.42958 | + | 1.03865i | 0.0520967 | + | 0.0378505i | ||||
\(754\) | −0.00103179 | − | 0.00383021i | −3.75755e−5 | − | 0.000139488i | ||||
\(755\) | 32.4418 | − | 16.9484i | 1.18068 | − | 0.616815i | ||||
\(756\) | −1.82224 | + | 0.100383i | −0.0662741 | + | 0.00365089i | ||||
\(757\) | 29.1500 | + | 29.1500i | 1.05947 | + | 1.05947i | 0.998116 | + | 0.0613575i | \(0.0195430\pi\) |
0.0613575 | + | 0.998116i | \(0.480457\pi\) | |||||||
\(758\) | 1.18715 | − | 1.07179i | 0.0431192 | − | 0.0389292i | ||||
\(759\) | −1.66213 | + | 0.540060i | −0.0603317 | + | 0.0196029i | ||||
\(760\) | 8.87282 | − | 4.68074i | 0.321851 | − | 0.169788i | ||||
\(761\) | −9.28696 | − | 3.01752i | −0.336652 | − | 0.109385i | 0.135813 | − | 0.990735i | \(-0.456636\pi\) |
−0.472464 | + | 0.881350i | \(0.656636\pi\) | |||||||
\(762\) | −0.102390 | + | 0.0457512i | −0.00370921 | + | 0.00165739i | ||||
\(763\) | −1.85002 | + | 3.63086i | −0.0669751 | + | 0.131446i | ||||
\(764\) | −22.7940 | − | 2.33418i | −0.824657 | − | 0.0844476i | ||||
\(765\) | 7.03768 | + | 1.04128i | 0.254448 | + | 0.0376477i | ||||
\(766\) | 6.09203 | + | 2.32918i | 0.220114 | + | 0.0841566i | ||||
\(767\) | 0.418050 | − | 0.303731i | 0.0150949 | − | 0.0109671i | ||||
\(768\) | −0.183647 | − | 2.90893i | −0.00662680 | − | 0.104967i | ||||
\(769\) | −23.4583 | + | 17.0435i | −0.845929 | + | 0.614603i | −0.924020 | − | 0.382343i | \(-0.875117\pi\) |
0.0780918 | + | 0.996946i | \(0.475117\pi\) | |||||||
\(770\) | −6.65080 | − | 0.271749i | −0.239678 | − | 0.00979315i | ||||
\(771\) | 3.54371 | − | 0.561268i | 0.127624 | − | 0.0202136i | ||||
\(772\) | −12.5111 | + | 28.3037i | −0.450285 | + | 1.01867i | ||||
\(773\) | −38.6892 | + | 19.7131i | −1.39155 | + | 0.709032i | −0.979371 | − | 0.202070i | \(-0.935233\pi\) |
−0.412182 | + | 0.911102i | \(0.635233\pi\) | |||||||
\(774\) | −1.51860 | − | 14.2651i | −0.0545849 | − | 0.512750i | ||||
\(775\) | 0.593658 | + | 29.1342i | 0.0213248 | + | 1.04653i | ||||
\(776\) | −21.0317 | − | 10.6102i | −0.754994 | − | 0.380884i | ||||
\(777\) | 0.629044 | + | 0.204389i | 0.0225668 | + | 0.00733240i | ||||
\(778\) | 39.3362 | + | 22.6408i | 1.41027 | + | 0.811710i | ||||
\(779\) | −0.803202 | − | 5.07122i | −0.0287777 | − | 0.181695i | ||||
\(780\) | 0.0983364 | + | 0.0249984i | 0.00352101 | + | 0.000895088i | ||||
\(781\) | 6.04057 | − | 38.1387i | 0.216149 | − | 1.36471i | ||||
\(782\) | −4.51443 | − | 3.64574i | −0.161436 | − | 0.130371i | ||||
\(783\) | −0.0198051 | + | 0.0143892i | −0.000707776 | + | 0.000514230i | ||||
\(784\) | −16.9492 | − | 18.6229i | −0.605328 | − | 0.665102i | ||||
\(785\) | −27.3875 | − | 8.59128i | −0.977500 | − | 0.306636i | ||||
\(786\) | −0.601769 | + | 0.391937i | −0.0214644 | + | 0.0139799i | ||||
\(787\) | 8.40403 | + | 4.28207i | 0.299571 | + | 0.152639i | 0.597315 | − | 0.802007i | \(-0.296234\pi\) |
−0.297744 | + | 0.954646i | \(0.596234\pi\) | |||||||
\(788\) | −2.93099 | − | 0.776967i | −0.104412 | − | 0.0276783i | ||||
\(789\) | 3.19087 | − | 1.62583i | 0.113598 | − | 0.0578811i | ||||
\(790\) | −1.40170 | + | 0.643532i | −0.0498703 | + | 0.0228959i | ||||
\(791\) | −9.71210 | + | 3.15565i | −0.345322 | + | 0.112202i | ||||
\(792\) | 12.2990 | − | 17.0717i | 0.437027 | − | 0.606615i | ||||
\(793\) | − | 0.408413i | − | 0.0145032i | ||||||
\(794\) | 0.348473 | + | 0.385981i | 0.0123669 | + | 0.0136979i | ||||
\(795\) | −1.48143 | + | 1.51192i | −0.0525408 | + | 0.0536223i | ||||
\(796\) | 25.5919 | + | 11.3124i | 0.907081 | + | 0.400958i | ||||
\(797\) | 40.9597 | − | 6.48737i | 1.45087 | − | 0.229795i | 0.619271 | − | 0.785177i | \(-0.287428\pi\) |
0.831595 | + | 0.555383i | \(0.187428\pi\) | |||||||
\(798\) | 0.187220 | + | 0.287453i | 0.00662753 | + | 0.0101757i | ||||
\(799\) | −9.08911 | −0.321549 | ||||||||
\(800\) | 18.3880 | + | 21.4915i | 0.650113 | + | 0.759838i | ||||
\(801\) | 24.6217 | 0.869967 | ||||||||
\(802\) | −19.6212 | − | 30.1258i | −0.692848 | − | 1.06378i | ||||
\(803\) | 31.2735 | − | 4.95324i | 1.10362 | − | 0.174796i | ||||
\(804\) | −1.94576 | − | 0.860086i | −0.0686217 | − | 0.0303329i | ||||
\(805\) | −7.08196 | + | 1.19575i | −0.249606 | + | 0.0421446i | ||||
\(806\) | 0.687881 | + | 0.761919i | 0.0242296 | + | 0.0268375i | ||||
\(807\) | 3.21042i | 0.113012i | ||||||||
\(808\) | 40.3081 | + | 29.0394i | 1.41803 | + | 1.02160i | ||||
\(809\) | −16.7707 | + | 5.44914i | −0.589627 | + | 0.191582i | −0.588609 | − | 0.808418i | \(-0.700324\pi\) |
−0.00101850 | + | 0.999999i | \(0.500324\pi\) | |||||||
\(810\) | 3.19174 | + | 27.3338i | 0.112146 | + | 0.960411i | ||||
\(811\) | −41.1178 | + | 20.9506i | −1.44384 | + | 0.735674i | −0.988010 | − | 0.154393i | \(-0.950658\pi\) |
−0.455831 | + | 0.890066i | \(0.650658\pi\) | |||||||
\(812\) | 0.0365507 | + | 0.00968912i | 0.00128268 | + | 0.000340022i | ||||
\(813\) | −3.64339 | − | 1.85640i | −0.127779 | − | 0.0651067i | ||||
\(814\) | −12.8510 | + | 8.36996i | −0.450427 | + | 0.293367i | ||||
\(815\) | −0.0988801 | − | 9.70623i | −0.00346362 | − | 0.339994i | ||||
\(816\) | −0.780573 | − | 0.0367261i | −0.0273255 | − | 0.00128567i | ||||
\(817\) | −4.38756 | + | 3.18775i | −0.153501 | + | 0.111525i | ||||
\(818\) | −0.289805 | − | 0.234039i | −0.0101328 | − | 0.00818300i | ||||
\(819\) | 0.0485240 | − | 0.306368i | 0.00169556 | − | 0.0107054i | ||||
\(820\) | 13.4470 | − | 5.36123i | 0.469591 | − | 0.187222i | ||||
\(821\) | −0.0766892 | − | 0.484196i | −0.00267647 | − | 0.0168986i | 0.986314 | − | 0.164878i | \(-0.0527230\pi\) |
−0.988990 | + | 0.147979i | \(0.952723\pi\) | |||||||
\(822\) | 2.87168 | + | 1.65286i | 0.100162 | + | 0.0576500i | ||||
\(823\) | 11.0182 | + | 3.58004i | 0.384072 | + | 0.124792i | 0.494688 | − | 0.869071i | \(-0.335282\pi\) |
−0.110616 | + | 0.993863i | \(0.535282\pi\) | |||||||
\(824\) | −11.4508 | + | 22.6980i | −0.398908 | + | 0.790721i | ||||
\(825\) | −0.0465280 | − | 2.28339i | −0.00161990 | − | 0.0794975i | ||||
\(826\) | 0.521433 | + | 4.89814i | 0.0181430 | + | 0.170428i | ||||
\(827\) | 38.5520 | − | 19.6432i | 1.34058 | − | 0.683061i | 0.371186 | − | 0.928558i | \(-0.378951\pi\) |
0.969397 | + | 0.245497i | \(0.0789511\pi\) | |||||||
\(828\) | 9.17861 | − | 20.7647i | 0.318979 | − | 0.721622i | ||||
\(829\) | −34.2993 | + | 5.43247i | −1.19126 | + | 0.188677i | −0.720419 | − | 0.693539i | \(-0.756050\pi\) |
−0.470844 | + | 0.882217i | \(0.656050\pi\) | |||||||
\(830\) | −33.7739 | − | 26.7111i | −1.17231 | − | 0.927156i | ||||
\(831\) | −3.45351 | + | 2.50912i | −0.119801 | + | 0.0870404i | ||||
\(832\) | 0.985298 | + | 0.147969i | 0.0341591 | + | 0.00512991i | ||||
\(833\) | −5.46171 | + | 3.96816i | −0.189237 | + | 0.137489i | ||||
\(834\) | 0.729790 | + | 0.279022i | 0.0252706 | + | 0.00966174i | ||||
\(835\) | 18.4056 | − | 37.0514i | 0.636954 | − | 1.28222i | ||||
\(836\) | −7.91289 | − | 0.810306i | −0.273673 | − | 0.0280250i | ||||
\(837\) | 2.87600 | − | 5.64448i | 0.0994092 | − | 0.195102i | ||||
\(838\) | 44.1176 | − | 19.7131i | 1.52402 | − | 0.680978i | ||||
\(839\) | 21.7791 | + | 7.07647i | 0.751900 | + | 0.244307i | 0.659798 | − | 0.751443i | \(-0.270642\pi\) |
0.0921012 | + | 0.995750i | \(0.470642\pi\) | |||||||
\(840\) | −0.674143 | + | 0.693559i | −0.0232601 | + | 0.0239301i | ||||
\(841\) | −27.5802 | + | 8.96134i | −0.951040 | + | 0.309012i | ||||
\(842\) | −5.13222 | + | 4.63351i | −0.176868 | + | 0.159681i | ||||
\(843\) | −2.99100 | − | 2.99100i | −0.103016 | − | 0.103016i | ||||
\(844\) | −27.1269 | + | 1.49436i | −0.933746 | + | 0.0514379i | ||||
\(845\) | 12.9170 | − | 26.0026i | 0.444360 | − | 0.894516i | ||||
\(846\) | −9.24966 | − | 34.3366i | −0.318010 | − | 1.18052i | ||||
\(847\) | −3.20084 | − | 2.32555i | −0.109982 | − | 0.0799067i | ||||
\(848\) | −12.9943 | + | 16.2231i | −0.446225 | + | 0.557104i | ||||
\(849\) | 2.37723 | 0.0815863 | ||||||||
\(850\) | 6.26850 | − | 4.26709i | 0.215008 | − | 0.146360i | ||||
\(851\) | −11.7012 | + | 11.7012i | −0.401110 | + | 0.401110i | ||||
\(852\) | −3.54267 | − | 4.35101i | −0.121370 | − | 0.149063i | ||||
\(853\) | −0.697492 | − | 4.40379i | −0.0238817 | − | 0.150783i | 0.972866 | − | 0.231370i | \(-0.0743206\pi\) |
−0.996748 | + | 0.0805866i | \(0.974321\pi\) | |||||||
\(854\) | 3.37421 | + | 1.94210i | 0.115463 | + | 0.0664572i | ||||
\(855\) | 8.44951 | − | 6.27142i | 0.288967 | − | 0.214478i | ||||
\(856\) | 1.95149 | + | 1.40592i | 0.0667005 | + | 0.0480534i | ||||
\(857\) | − | 20.2758i | − | 0.692608i | −0.938122 | − | 0.346304i | \(-0.887437\pi\) | ||
0.938122 | − | 0.346304i | \(-0.112563\pi\) | |||||||
\(858\) | −0.0539126 | − | 0.0597154i | −0.00184055 | − | 0.00203865i | ||||
\(859\) | 23.7653 | − | 46.6420i | 0.810861 | − | 1.59140i | 0.00449265 | − | 0.999990i | \(-0.498570\pi\) |
0.806368 | − | 0.591414i | \(-0.201430\pi\) | |||||||
\(860\) | −11.4940 | − | 10.0846i | −0.391941 | − | 0.343883i | ||||
\(861\) | 0.224741 | + | 0.441079i | 0.00765915 | + | 0.0150319i | ||||
\(862\) | 53.3638 | + | 20.4027i | 1.81758 | + | 0.694918i | ||||
\(863\) | −9.43312 | − | 29.0322i | −0.321107 | − | 0.988266i | −0.973167 | − | 0.230099i | \(-0.926095\pi\) |
0.652060 | − | 0.758167i | \(-0.273905\pi\) | |||||||
\(864\) | −1.31857 | − | 6.00582i | −0.0448587 | − | 0.204322i | ||||
\(865\) | −19.7786 | + | 27.8144i | −0.672492 | + | 0.945717i | ||||
\(866\) | 30.0088 | + | 11.4733i | 1.01974 | + | 0.389879i | ||||
\(867\) | 0.451687 | − | 2.85184i | 0.0153401 | − | 0.0968536i | ||||
\(868\) | −9.56582 | + | 2.06001i | −0.324685 | + | 0.0699213i | ||||
\(869\) | 1.20790 | + | 0.191313i | 0.0409753 | + | 0.00648984i | ||||
\(870\) | −0.00255105 | + | 0.0127208i | −8.64888e−5 | + | 0.000431276i | ||||
\(871\) | 0.427441 | − | 0.588323i | 0.0144833 | − | 0.0199345i | ||||
\(872\) | −13.0746 | − | 4.19033i | −0.442762 | − | 0.141903i | ||||
\(873\) | −23.4997 | − | 7.63552i | −0.795344 | − | 0.258423i | ||||
\(874\) | −8.53443 | + | 0.908535i | −0.288681 | + | 0.0307317i | ||||
\(875\) | 1.18431 | − | 9.31071i | 0.0400369 | − | 0.314759i | ||||
\(876\) | 2.49550 | − | 3.86530i | 0.0843151 | − | 0.130596i | ||||
\(877\) | 1.13710 | + | 2.23169i | 0.0383973 | + | 0.0753589i | 0.909408 | − | 0.415905i | \(-0.136535\pi\) |
−0.871011 | + | 0.491264i | \(0.836535\pi\) | |||||||
\(878\) | 12.1730 | + | 45.1888i | 0.410820 | + | 1.52505i | ||||
\(879\) | 0.814442 | + | 0.591726i | 0.0274704 | + | 0.0199584i | ||||
\(880\) | −2.69036 | − | 22.2649i | −0.0906919 | − | 0.750549i | ||||
\(881\) | −12.3809 | + | 8.99527i | −0.417124 | + | 0.303058i | −0.776480 | − | 0.630142i | \(-0.782996\pi\) |
0.359356 | + | 0.933201i | \(0.382996\pi\) | |||||||
\(882\) | −20.5490 | − | 16.5949i | −0.691922 | − | 0.558778i | ||||
\(883\) | −6.07724 | + | 38.3702i | −0.204516 | + | 1.29126i | 0.645198 | + | 0.764016i | \(0.276775\pi\) |
−0.849713 | + | 0.527245i | \(0.823225\pi\) | |||||||
\(884\) | 0.0684462 | − | 0.258202i | 0.00230209 | − | 0.00868429i | ||||
\(885\) | −1.66651 | + | 0.281381i | −0.0560192 | + | 0.00945852i | ||||
\(886\) | −2.78656 | + | 13.1964i | −0.0936162 | + | 0.443341i | ||||
\(887\) | 3.98003 | − | 1.29319i | 0.133636 | − | 0.0434211i | −0.241435 | − | 0.970417i | \(-0.577618\pi\) |
0.375072 | + | 0.926996i | \(0.377618\pi\) | |||||||
\(888\) | −0.339784 | + | 2.20241i | −0.0114024 | + | 0.0739081i | ||||
\(889\) | 0.347548 | + | 0.112925i | 0.0116564 | + | 0.00378739i | ||||
\(890\) | 19.2994 | − | 17.7842i | 0.646917 | − | 0.596127i | ||||
\(891\) | 9.90628 | − | 19.4422i | 0.331873 | − | 0.651337i | ||||
\(892\) | 32.6387 | + | 29.2304i | 1.09282 | + | 0.978708i | ||||
\(893\) | −9.50597 | + | 9.50597i | −0.318105 | + | 0.318105i | ||||
\(894\) | −0.225822 | + | 4.42198i | −0.00755263 | + | 0.147893i | ||||
\(895\) | −30.2390 | − | 40.7411i | −1.01078 | − | 1.36183i | ||||
\(896\) | −5.90780 | + | 7.43667i | −0.197366 | + | 0.248442i | ||||
\(897\) | −0.0702287 | − | 0.0510241i | −0.00234487 | − | 0.00170365i | ||||
\(898\) | 24.2441 | + | 37.2237i | 0.809037 | + | 1.24217i | ||||
\(899\) | −0.0928127 | + | 0.0928127i | −0.00309548 | + | 0.00309548i | ||||
\(900\) | 22.4993 | + | 19.3385i | 0.749978 | + | 0.644617i | ||||
\(901\) | 3.94044 | + | 3.94044i | 0.131275 | + | 0.131275i | ||||
\(902\) | −11.2308 | − | 2.37150i | −0.373945 | − | 0.0789624i | ||||
\(903\) | 0.307345 | − | 0.423025i | 0.0102278 | − | 0.0140774i | ||||
\(904\) | −15.7429 | − | 30.5934i | −0.523601 | − | 1.01752i | ||||
\(905\) | −2.60442 | − | 7.74618i | −0.0865739 | − | 0.257492i | ||||
\(906\) | −3.13014 | + | 2.82597i | −0.103992 | + | 0.0938867i | ||||
\(907\) | −22.2919 | − | 22.2919i | −0.740192 | − | 0.740192i | 0.232423 | − | 0.972615i | \(-0.425335\pi\) |
−0.972615 | + | 0.232423i | \(0.925335\pi\) | |||||||
\(908\) | 58.8989 | − | 3.24460i | 1.95463 | − | 0.107676i | ||||
\(909\) | 46.4303 | + | 23.6574i | 1.54000 | + | 0.784667i | ||||
\(910\) | −0.183253 | − | 0.275191i | −0.00607479 | − | 0.00912248i | ||||
\(911\) | 6.02760 | − | 18.5511i | 0.199703 | − | 0.614624i | −0.800186 | − | 0.599752i | \(-0.795266\pi\) |
0.999889 | − | 0.0148719i | \(-0.00473405\pi\) | |||||||
\(912\) | −0.854785 | + | 0.777964i | −0.0283047 | + | 0.0257609i | ||||
\(913\) | 10.5506 | + | 32.4715i | 0.349175 | + | 1.07465i | ||||
\(914\) | −1.62306 | + | 1.05711i | −0.0536861 | + | 0.0349662i | ||||
\(915\) | −0.594285 | + | 1.19632i | −0.0196465 | + | 0.0395492i | ||||
\(916\) | 25.5761 | + | 6.77989i | 0.845057 | + | 0.224014i | ||||
\(917\) | 2.31130 | + | 0.366074i | 0.0763259 | + | 0.0120888i | ||||
\(918\) | −1.63925 | + | 0.174506i | −0.0541032 | + | 0.00575957i | ||||
\(919\) | 12.4268 | + | 17.1041i | 0.409923 | + | 0.564211i | 0.963200 | − | 0.268787i | \(-0.0866227\pi\) |
−0.553277 | + | 0.832998i | \(0.686623\pi\) | |||||||
\(920\) | −7.80369 | − | 22.9057i | −0.257280 | − | 0.755179i | ||||
\(921\) | −0.388484 | + | 0.534703i | −0.0128010 | + | 0.0176191i | ||||
\(922\) | 2.27238 | − | 3.94806i | 0.0748370 | − | 0.130022i | ||||
\(923\) | 1.70893 | − | 0.870742i | 0.0562501 | − | 0.0286608i | ||||
\(924\) | 0.749721 | − | 0.161453i | 0.0246640 | − | 0.00531142i | ||||
\(925\) | −10.2080 | − | 19.0639i | −0.335637 | − | 0.626818i | ||||
\(926\) | 33.7933 | − | 41.8455i | 1.11052 | − | 1.37513i | ||||
\(927\) | −8.24045 | + | 25.3615i | −0.270652 | + | 0.832981i | ||||
\(928\) | −0.0124704 | + | 0.126790i | −0.000409359 | + | 0.00416208i | ||||
\(929\) | −37.9517 | − | 27.5735i | −1.24515 | − | 0.904657i | −0.247223 | − | 0.968959i | \(-0.579518\pi\) |
−0.997930 | + | 0.0643018i | \(0.979518\pi\) | |||||||
\(930\) | −0.906264 | − | 3.23275i | −0.0297176 | − | 0.106006i | ||||
\(931\) | −1.56205 | + | 9.86237i | −0.0511940 | + | 0.323226i | ||||
\(932\) | −23.0992 | + | 4.97443i | −0.756639 | + | 0.162943i | ||||
\(933\) | −1.23829 | − | 0.196126i | −0.0405398 | − | 0.00642087i | ||||
\(934\) | 37.9411 | − | 16.9532i | 1.24147 | − | 0.554727i | ||||
\(935\) | −6.01233 | + | 0.0612493i | −0.196624 | + | 0.00200307i | ||||
\(936\) | 1.04509 | − | 0.00418901i | 0.0341597 | − | 0.000136922i | ||||
\(937\) | 17.9377 | − | 5.82833i | 0.586001 | − | 0.190403i | −0.000986402 | − | 1.00000i | \(-0.500314\pi\) |
0.586987 | + | 0.809596i | \(0.300314\pi\) | |||||||
\(938\) | 2.82800 | + | 6.32902i | 0.0923375 | + | 0.206650i | ||||
\(939\) | −5.48454 | + | 2.79451i | −0.178981 | + | 0.0911954i | ||||
\(940\) | −32.0514 | − | 20.2333i | −1.04540 | − | 0.659936i | ||||
\(941\) | 17.4493 | + | 8.89085i | 0.568830 | + | 0.289833i | 0.714655 | − | 0.699477i | \(-0.246584\pi\) |
−0.145825 | + | 0.989310i | \(0.546584\pi\) | |||||||
\(942\) | 3.30274 | + | 0.168665i | 0.107609 | + | 0.00549539i | ||||
\(943\) | −12.3852 | −0.403319 | ||||||||
\(944\) | −16.0076 | + | 4.38104i | −0.521002 | + | 0.142591i | ||||
\(945\) | −1.18245 | + | 1.66286i | −0.0384650 | + | 0.0540928i | ||||
\(946\) | 3.15364 | + | 11.7070i | 0.102534 | + | 0.380626i | ||||
\(947\) | 45.9505 | − | 7.27784i | 1.49319 | − | 0.236498i | 0.644180 | − | 0.764874i | \(-0.277199\pi\) |
0.849010 | + | 0.528376i | \(0.177199\pi\) | |||||||
\(948\) | 0.137802 | − | 0.112201i | 0.00447560 | − | 0.00364412i | ||||
\(949\) | 1.11209 | + | 1.11209i | 0.0360999 | + | 0.0360999i | ||||
\(950\) | 2.09320 | − | 11.0188i | 0.0679124 | − | 0.357497i | ||||
\(951\) | − | 3.54225i | − | 0.114865i | ||||||
\(952\) | 1.80773 | + | 1.79330i | 0.0585889 | + | 0.0581211i | ||||
\(953\) | −10.8412 | + | 14.9217i | −0.351182 | + | 0.483361i | −0.947666 | − | 0.319264i | \(-0.896564\pi\) |
0.596483 | + | 0.802625i | \(0.296564\pi\) | |||||||
\(954\) | −10.8761 | + | 18.8961i | −0.352125 | + | 0.611785i | ||||
\(955\) | −17.9290 | + | 18.2981i | −0.580169 | + | 0.592111i | ||||
\(956\) | −29.5189 | − | 26.4364i | −0.954709 | − | 0.855016i | ||||
\(957\) | 0.00727420 | − | 0.00727420i | 0.000235141 | − | 0.000235141i | ||||
\(958\) | −0.982412 | + | 19.2373i | −0.0317403 | + | 0.621528i | ||||
\(959\) | −3.33638 | − | 10.2683i | −0.107737 | − | 0.331581i | ||||
\(960\) | −2.67082 | − | 1.86714i | −0.0862003 | − | 0.0602618i | ||||
\(961\) | 0.916587 | − | 2.82096i | 0.0295673 | − | 0.0909989i | ||||
\(962\) | −0.711531 | − | 0.272041i | −0.0229407 | − | 0.00877095i | ||||
\(963\) | 2.24789 | + | 1.14536i | 0.0724372 | + | 0.0369086i | ||||
\(964\) | 3.72213 | + | 0.381158i | 0.119882 | + | 0.0122763i | ||||
\(965\) | 16.0205 | + | 30.6656i | 0.515717 | + | 0.987162i | ||||
\(966\) | 0.755503 | − | 0.337582i | 0.0243079 | − | 0.0108615i | ||||
\(967\) | 8.85185 | + | 12.1835i | 0.284656 | + | 0.391796i | 0.927269 | − | 0.374395i | \(-0.122150\pi\) |
−0.642613 | + | 0.766191i | \(0.722150\pi\) | |||||||
\(968\) | 6.00415 | − | 11.9015i | 0.192981 | − | 0.382529i | ||||
\(969\) | 0.182138 | + | 0.250691i | 0.00585111 | + | 0.00805336i | ||||
\(970\) | −23.9350 | + | 10.9887i | −0.768506 | + | 0.352827i | ||||
\(971\) | −2.92989 | − | 18.4986i | −0.0940246 | − | 0.593648i | −0.989044 | − | 0.147621i | \(-0.952838\pi\) |
0.895019 | − | 0.446027i | \(-0.147162\pi\) | |||||||
\(972\) | −3.49765 | − | 9.03941i | −0.112187 | − | 0.289939i | ||||
\(973\) | −1.15582 | − | 2.26843i | −0.0370540 | − | 0.0727226i | ||||
\(974\) | −23.8244 | − | 19.2400i | −0.763384 | − | 0.616490i | ||||
\(975\) | 0.0903977 | − | 0.0685344i | 0.00289504 | − | 0.00219486i | ||||
\(976\) | −4.63525 | + | 12.2709i | −0.148371 | + | 0.392781i | ||||
\(977\) | 0.0762329 | − | 0.234621i | 0.00243891 | − | 0.00750619i | −0.949830 | − | 0.312768i | \(-0.898744\pi\) |
0.952269 | + | 0.305261i | \(0.0987439\pi\) | |||||||
\(978\) | 0.290895 | + | 1.07986i | 0.00930180 | + | 0.0345302i | ||||
\(979\) | −20.5528 | + | 3.25525i | −0.656872 | + | 0.104038i | ||||
\(980\) | −28.0934 | + | 1.83483i | −0.897412 | + | 0.0586114i | ||||
\(981\) | −14.2241 | − | 2.25288i | −0.454142 | − | 0.0719290i | ||||
\(982\) | 48.5814 | − | 5.17175i | 1.55029 | − | 0.165037i | ||||
\(983\) | 16.9324 | + | 23.3054i | 0.540060 | + | 0.743328i | 0.988622 | − | 0.150423i | \(-0.0480637\pi\) |
−0.448562 | + | 0.893752i | \(0.648064\pi\) | |||||||
\(984\) | −1.34541 | + | 0.985761i | −0.0428901 | + | 0.0314249i | ||||
\(985\) | −2.72223 | + | 2.02050i | −0.0867374 | + | 0.0643785i | ||||
\(986\) | 0.0334194 | + | 0.00705686i | 0.00106429 | + | 0.000224736i | ||||
\(987\) | 0.588439 | − | 1.15488i | 0.0187302 | − | 0.0367601i | ||||
\(988\) | −0.198459 | − | 0.341630i | −0.00631383 | − | 0.0108687i | ||||
\(989\) | 5.93915 | + | 11.6562i | 0.188854 | + | 0.370647i | ||||
\(990\) | −6.34992 | − | 22.6509i | −0.201814 | − | 0.719893i | ||||
\(991\) | 9.10843 | + | 28.0329i | 0.289339 | + | 0.890494i | 0.985064 | + | 0.172186i | \(0.0550830\pi\) |
−0.695726 | + | 0.718308i | \(0.744917\pi\) | |||||||
\(992\) | −12.0202 | − | 30.6991i | −0.381641 | − | 0.974696i | ||||
\(993\) | 4.28070 | 0.135844 | ||||||||
\(994\) | −0.932470 | + | 18.2593i | −0.0295761 | + | 0.579151i | ||||
\(995\) | 27.7275 | − | 14.4855i | 0.879021 | − | 0.459222i | ||||
\(996\) | 4.53759 | + | 2.00575i | 0.143779 | + | 0.0635548i | ||||
\(997\) | 0.278750 | + | 1.75996i | 0.00882811 | + | 0.0557385i | 0.991709 | − | 0.128503i | \(-0.0410172\pi\) |
−0.982881 | + | 0.184241i | \(0.941017\pi\) | |||||||
\(998\) | −35.5214 | − | 7.50072i | −1.12441 | − | 0.237431i | ||||
\(999\) | 4.70115i | 0.148738i |
(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 | 400.2.be.a.21.41 | ✓ | 464 | |
16.13 | even | 4 | inner | 400.2.be.a.221.7 | yes | 464 | |
25.6 | even | 5 | inner | 400.2.be.a.181.7 | yes | 464 | |
400.381 | even | 20 | inner | 400.2.be.a.381.41 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.be.a.21.41 | ✓ | 464 | 1.1 | even | 1 | trivial | |
400.2.be.a.181.7 | yes | 464 | 25.6 | even | 5 | inner | |
400.2.be.a.221.7 | yes | 464 | 16.13 | even | 4 | inner | |
400.2.be.a.381.41 | yes | 464 | 400.381 | even | 20 | inner |