Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,3,Mod(43,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.43");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.92371580679\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 43.7 | ||
Character | \(\chi\) | \(=\) | 144.43 |
Dual form | 144.3.v.a.67.7 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.83642 | + | 0.792194i | −0.918209 | + | 0.396097i | ||||
\(3\) | 2.99507 | + | 0.171846i | 0.998358 | + | 0.0572821i | ||||
\(4\) | 2.74486 | − | 2.90960i | 0.686214 | − | 0.727399i | ||||
\(5\) | −0.222103 | + | 0.828901i | −0.0444207 | + | 0.165780i | −0.984573 | − | 0.174974i | \(-0.944016\pi\) |
0.940152 | + | 0.340754i | \(0.110682\pi\) | |||||||
\(6\) | −5.63634 | + | 2.05710i | −0.939390 | + | 0.342850i | ||||
\(7\) | 5.23163 | − | 9.06144i | 0.747375 | − | 1.29449i | −0.201701 | − | 0.979447i | \(-0.564647\pi\) |
0.949077 | − | 0.315045i | \(-0.102020\pi\) | |||||||
\(8\) | −2.73574 | + | 7.51769i | −0.341967 | + | 0.939712i | ||||
\(9\) | 8.94094 | + | 1.02938i | 0.993438 | + | 0.114376i | ||||
\(10\) | −0.248776 | − | 1.69816i | −0.0248776 | − | 0.169816i | ||||
\(11\) | −1.88677 | − | 7.04151i | −0.171524 | − | 0.640137i | −0.997118 | − | 0.0758716i | \(-0.975826\pi\) |
0.825593 | − | 0.564266i | \(-0.190841\pi\) | |||||||
\(12\) | 8.72105 | − | 8.24277i | 0.726755 | − | 0.686897i | ||||
\(13\) | −6.98432 | − | 1.87144i | −0.537255 | − | 0.143957i | −0.0200186 | − | 0.999800i | \(-0.506373\pi\) |
−0.517236 | + | 0.855843i | \(0.673039\pi\) | |||||||
\(14\) | −2.42903 | + | 20.7851i | −0.173502 | + | 1.48465i | ||||
\(15\) | −0.807660 | + | 2.44445i | −0.0538440 | + | 0.162963i | ||||
\(16\) | −0.931516 | − | 15.9729i | −0.0582198 | − | 0.998304i | ||||
\(17\) | 10.9027 | 0.641336 | 0.320668 | − | 0.947192i | \(-0.396093\pi\) | ||||
0.320668 | + | 0.947192i | \(0.396093\pi\) | |||||||
\(18\) | −17.2348 | + | 5.19258i | −0.957487 | + | 0.288477i | ||||
\(19\) | 5.61772 | + | 5.61772i | 0.295669 | + | 0.295669i | 0.839315 | − | 0.543646i | \(-0.182956\pi\) |
−0.543646 | + | 0.839315i | \(0.682956\pi\) | |||||||
\(20\) | 1.80213 | + | 2.92145i | 0.0901063 | + | 0.146072i | ||||
\(21\) | 17.2263 | − | 26.2407i | 0.820299 | − | 1.24956i | ||||
\(22\) | 9.04313 | + | 11.4365i | 0.411051 | + | 0.519839i | ||||
\(23\) | 8.49079 | + | 14.7065i | 0.369165 | + | 0.639412i | 0.989435 | − | 0.144976i | \(-0.0463105\pi\) |
−0.620271 | + | 0.784388i | \(0.712977\pi\) | |||||||
\(24\) | −9.48563 | + | 22.0459i | −0.395234 | + | 0.918580i | ||||
\(25\) | 21.0129 | + | 12.1318i | 0.840516 | + | 0.485272i | ||||
\(26\) | 14.3087 | − | 2.09618i | 0.550333 | − | 0.0806225i | ||||
\(27\) | 26.6019 | + | 4.61955i | 0.985255 | + | 0.171094i | ||||
\(28\) | −12.0051 | − | 40.0943i | −0.428753 | − | 1.43194i | ||||
\(29\) | 2.27742 | + | 8.49945i | 0.0785317 | + | 0.293084i | 0.994011 | − | 0.109281i | \(-0.0348548\pi\) |
−0.915479 | + | 0.402365i | \(0.868188\pi\) | |||||||
\(30\) | −0.453281 | − | 5.12886i | −0.0151094 | − | 0.170962i | ||||
\(31\) | 6.67353 | − | 3.85297i | 0.215275 | − | 0.124289i | −0.388485 | − | 0.921455i | \(-0.627002\pi\) |
0.603761 | + | 0.797166i | \(0.293668\pi\) | |||||||
\(32\) | 14.3643 | + | 28.5949i | 0.448883 | + | 0.893591i | ||||
\(33\) | −4.44095 | − | 21.4141i | −0.134574 | − | 0.648911i | ||||
\(34\) | −20.0219 | + | 8.63706i | −0.588880 | + | 0.254031i | ||||
\(35\) | 6.34908 | + | 6.34908i | 0.181402 | + | 0.181402i | ||||
\(36\) | 27.5367 | − | 23.1890i | 0.764908 | − | 0.644139i | ||||
\(37\) | −36.7870 | − | 36.7870i | −0.994244 | − | 0.994244i | 0.00573969 | − | 0.999984i | \(-0.498173\pi\) |
−0.999984 | + | 0.00573969i | \(0.998173\pi\) | |||||||
\(38\) | −14.7668 | − | 5.86615i | −0.388600 | − | 0.154372i | ||||
\(39\) | −20.5969 | − | 6.80534i | −0.528127 | − | 0.174496i | ||||
\(40\) | −5.62381 | − | 3.93736i | −0.140595 | − | 0.0984340i | ||||
\(41\) | −70.5661 | + | 40.7414i | −1.72112 | + | 0.993692i | −0.804490 | + | 0.593966i | \(0.797561\pi\) |
−0.916635 | + | 0.399726i | \(0.869105\pi\) | |||||||
\(42\) | −10.8470 | + | 61.8354i | −0.258261 | + | 1.47227i | ||||
\(43\) | 12.0102 | + | 44.8228i | 0.279308 | + | 1.04239i | 0.952899 | + | 0.303287i | \(0.0980842\pi\) |
−0.673591 | + | 0.739104i | \(0.735249\pi\) | |||||||
\(44\) | −25.6669 | − | 13.8382i | −0.583338 | − | 0.314505i | ||||
\(45\) | −2.83907 | + | 7.18252i | −0.0630904 | + | 0.159612i | ||||
\(46\) | −27.2430 | − | 20.2809i | −0.592239 | − | 0.440889i | ||||
\(47\) | −21.0600 | − | 12.1590i | −0.448085 | − | 0.258702i | 0.258936 | − | 0.965894i | \(-0.416628\pi\) |
−0.707021 | + | 0.707192i | \(0.749961\pi\) | |||||||
\(48\) | −0.0450846 | − | 48.0000i | −0.000939263 | − | 1.00000i | ||||
\(49\) | −30.2398 | − | 52.3770i | −0.617140 | − | 1.06892i | ||||
\(50\) | −48.1992 | − | 5.63276i | −0.963983 | − | 0.112655i | ||||
\(51\) | 32.6544 | + | 1.87359i | 0.640283 | + | 0.0367370i | ||||
\(52\) | −24.6161 | + | 15.1847i | −0.473386 | + | 0.292014i | ||||
\(53\) | −69.3816 | − | 69.3816i | −1.30909 | − | 1.30909i | −0.922074 | − | 0.387014i | \(-0.873507\pi\) |
−0.387014 | − | 0.922074i | \(-0.626493\pi\) | |||||||
\(54\) | −52.5117 | + | 12.5904i | −0.972439 | + | 0.233156i | ||||
\(55\) | 6.25577 | 0.113741 | ||||||||
\(56\) | 53.8088 | + | 64.1195i | 0.960872 | + | 1.14499i | ||||
\(57\) | 15.8601 | + | 17.7909i | 0.278247 | + | 0.312120i | ||||
\(58\) | −10.9155 | − | 13.8044i | −0.188198 | − | 0.238006i | ||||
\(59\) | −8.77626 | − | 2.35159i | −0.148750 | − | 0.0398575i | 0.183676 | − | 0.982987i | \(-0.441200\pi\) |
−0.332426 | + | 0.943129i | \(0.607867\pi\) | |||||||
\(60\) | 4.89546 | + | 9.05964i | 0.0815910 | + | 0.150994i | ||||
\(61\) | −1.01995 | − | 3.80652i | −0.0167206 | − | 0.0624020i | 0.957061 | − | 0.289885i | \(-0.0936170\pi\) |
−0.973782 | + | 0.227483i | \(0.926950\pi\) | |||||||
\(62\) | −9.20309 | + | 12.3624i | −0.148437 | + | 0.199393i | ||||
\(63\) | 56.1034 | − | 75.6325i | 0.890530 | − | 1.20052i | ||||
\(64\) | −49.0315 | − | 41.1329i | −0.766117 | − | 0.642701i | ||||
\(65\) | 3.10248 | − | 5.37365i | 0.0477305 | − | 0.0826716i | ||||
\(66\) | 25.1195 | + | 35.8071i | 0.380599 | + | 0.542532i | ||||
\(67\) | −32.5224 | + | 121.375i | −0.485409 | + | 1.81157i | 0.0928006 | + | 0.995685i | \(0.470418\pi\) |
−0.578210 | + | 0.815888i | \(0.696249\pi\) | |||||||
\(68\) | 29.9264 | − | 31.7225i | 0.440094 | − | 0.466507i | ||||
\(69\) | 22.9033 | + | 45.5061i | 0.331932 | + | 0.659508i | ||||
\(70\) | −16.6893 | − | 6.62986i | −0.238418 | − | 0.0947122i | ||||
\(71\) | 89.0591 | 1.25435 | 0.627177 | − | 0.778877i | \(-0.284210\pi\) | ||||
0.627177 | + | 0.778877i | \(0.284210\pi\) | |||||||
\(72\) | −32.1987 | + | 64.3991i | −0.447204 | + | 0.894432i | ||||
\(73\) | 82.8383i | 1.13477i | 0.823452 | + | 0.567386i | \(0.192045\pi\) | ||||
−0.823452 | + | 0.567386i | \(0.807955\pi\) | |||||||
\(74\) | 96.6988 | + | 38.4139i | 1.30674 | + | 0.519106i | ||||
\(75\) | 60.8504 | + | 39.9466i | 0.811338 | + | 0.532622i | ||||
\(76\) | 31.7651 | − | 0.925464i | 0.417962 | − | 0.0121772i | ||||
\(77\) | −73.6771 | − | 19.7417i | −0.956846 | − | 0.256386i | ||||
\(78\) | 43.2157 | − | 3.81934i | 0.554048 | − | 0.0489659i | ||||
\(79\) | −59.4445 | − | 34.3203i | −0.752462 | − | 0.434434i | 0.0741205 | − | 0.997249i | \(-0.476385\pi\) |
−0.826583 | + | 0.562815i | \(0.809718\pi\) | |||||||
\(80\) | 13.4468 | + | 2.77549i | 0.168085 | + | 0.0346936i | ||||
\(81\) | 78.8807 | + | 18.4073i | 0.973836 | + | 0.227251i | ||||
\(82\) | 97.3138 | − | 130.720i | 1.18675 | − | 1.59415i | ||||
\(83\) | −6.99695 | + | 1.87483i | −0.0843006 | + | 0.0225883i | −0.300723 | − | 0.953712i | \(-0.597228\pi\) |
0.216422 | + | 0.976300i | \(0.430561\pi\) | |||||||
\(84\) | −29.0661 | − | 122.148i | −0.346025 | − | 1.45415i | ||||
\(85\) | −2.42153 | + | 9.03727i | −0.0284886 | + | 0.106321i | ||||
\(86\) | −57.5642 | − | 72.7990i | −0.669351 | − | 0.846500i | ||||
\(87\) | 5.36044 | + | 25.8478i | 0.0616143 | + | 0.297102i | ||||
\(88\) | 58.0976 | + | 5.07959i | 0.660200 | + | 0.0577226i | ||||
\(89\) | − | 144.573i | − | 1.62442i | −0.583367 | − | 0.812208i | \(-0.698265\pi\) | ||
0.583367 | − | 0.812208i | \(-0.301735\pi\) | |||||||
\(90\) | −0.476234 | − | 15.4392i | −0.00529149 | − | 0.171547i | ||||
\(91\) | −53.4973 | + | 53.4973i | −0.587882 | + | 0.587882i | ||||
\(92\) | 66.0959 | + | 15.6624i | 0.718434 | + | 0.170243i | ||||
\(93\) | 20.6498 | − | 10.3931i | 0.222041 | − | 0.111754i | ||||
\(94\) | 48.3072 | + | 5.64539i | 0.513907 | + | 0.0600573i | ||||
\(95\) | −5.90424 | + | 3.40882i | −0.0621499 | + | 0.0358823i | ||||
\(96\) | 38.1081 | + | 88.1123i | 0.396959 | + | 0.917836i | ||||
\(97\) | 48.6538 | − | 84.2708i | 0.501585 | − | 0.868771i | −0.498413 | − | 0.866940i | \(-0.666084\pi\) |
0.999998 | − | 0.00183136i | \(-0.000582939\pi\) | |||||||
\(98\) | 97.0257 | + | 72.2301i | 0.990058 | + | 0.737042i | ||||
\(99\) | −9.62105 | − | 64.8999i | −0.0971823 | − | 0.655555i | ||||
\(100\) | 92.9760 | − | 27.8390i | 0.929760 | − | 0.278390i | ||||
\(101\) | −148.079 | + | 39.6775i | −1.46612 | + | 0.392847i | −0.901601 | − | 0.432570i | \(-0.857607\pi\) |
−0.564524 | + | 0.825417i | \(0.690940\pi\) | |||||||
\(102\) | −61.4514 | + | 22.4279i | −0.602465 | + | 0.219882i | ||||
\(103\) | 88.3701 | + | 153.062i | 0.857962 | + | 1.48603i | 0.873869 | + | 0.486161i | \(0.161603\pi\) |
−0.0159070 | + | 0.999873i | \(0.505064\pi\) | |||||||
\(104\) | 33.1762 | − | 47.3862i | 0.319002 | − | 0.455636i | ||||
\(105\) | 17.9249 | + | 20.1070i | 0.170713 | + | 0.191495i | ||||
\(106\) | 182.377 | + | 72.4499i | 1.72054 | + | 0.683490i | ||||
\(107\) | −15.4533 | + | 15.4533i | −0.144424 | + | 0.144424i | −0.775622 | − | 0.631198i | \(-0.782563\pi\) |
0.631198 | + | 0.775622i | \(0.282563\pi\) | |||||||
\(108\) | 86.4594 | − | 64.7208i | 0.800550 | − | 0.599266i | ||||
\(109\) | −84.1975 | + | 84.1975i | −0.772454 | + | 0.772454i | −0.978535 | − | 0.206081i | \(-0.933929\pi\) |
0.206081 | + | 0.978535i | \(0.433929\pi\) | |||||||
\(110\) | −11.4882 | + | 4.95578i | −0.104438 | + | 0.0450526i | ||||
\(111\) | −103.858 | − | 116.502i | −0.935659 | − | 1.04956i | ||||
\(112\) | −149.611 | − | 75.1232i | −1.33581 | − | 0.670743i | ||||
\(113\) | 44.6315 | + | 77.3041i | 0.394969 | + | 0.684107i | 0.993097 | − | 0.117294i | \(-0.0374219\pi\) |
−0.598128 | + | 0.801401i | \(0.704089\pi\) | |||||||
\(114\) | −43.2196 | − | 20.1072i | −0.379119 | − | 0.176379i | ||||
\(115\) | −14.0760 | + | 3.77166i | −0.122400 | + | 0.0327971i | ||||
\(116\) | 30.9812 | + | 16.7034i | 0.267079 | + | 0.143995i | ||||
\(117\) | −60.5199 | − | 23.9220i | −0.517264 | − | 0.204461i | ||||
\(118\) | 17.9798 | − | 2.63400i | 0.152371 | − | 0.0223220i | ||||
\(119\) | 57.0389 | − | 98.7943i | 0.479319 | − | 0.830204i | ||||
\(120\) | −16.1671 | − | 12.7591i | −0.134726 | − | 0.106326i | ||||
\(121\) | 58.7661 | − | 33.9286i | 0.485670 | − | 0.280402i | ||||
\(122\) | 4.88856 | + | 6.18236i | 0.0400702 | + | 0.0506751i | ||||
\(123\) | −218.352 | + | 109.897i | −1.77522 | + | 0.893471i | ||||
\(124\) | 7.10731 | − | 29.9931i | 0.0573171 | − | 0.241880i | ||||
\(125\) | −29.8930 | + | 29.8930i | −0.239144 | + | 0.239144i | ||||
\(126\) | −43.1136 | + | 183.337i | −0.342172 | + | 1.45506i | ||||
\(127\) | 95.7663i | 0.754065i | 0.926200 | + | 0.377033i | \(0.123056\pi\) | ||||
−0.926200 | + | 0.377033i | \(0.876944\pi\) | |||||||
\(128\) | 122.627 | + | 36.6947i | 0.958027 | + | 0.286677i | ||||
\(129\) | 28.2689 | + | 136.312i | 0.219139 | + | 1.05668i | ||||
\(130\) | −1.44047 | + | 12.3260i | −0.0110806 | + | 0.0948157i | ||||
\(131\) | 34.0140 | − | 126.942i | 0.259649 | − | 0.969023i | −0.705796 | − | 0.708415i | \(-0.749411\pi\) |
0.965445 | − | 0.260607i | \(-0.0839228\pi\) | |||||||
\(132\) | −74.4961 | − | 45.8572i | −0.564365 | − | 0.347403i | ||||
\(133\) | 80.2944 | − | 21.5148i | 0.603717 | − | 0.161766i | ||||
\(134\) | −36.4281 | − | 248.660i | −0.271851 | − | 1.85567i | ||||
\(135\) | −9.73751 | + | 21.0243i | −0.0721297 | + | 0.155736i | ||||
\(136\) | −29.8270 | + | 81.9633i | −0.219316 | + | 0.602671i | ||||
\(137\) | 58.5672 | + | 33.8138i | 0.427498 | + | 0.246816i | 0.698280 | − | 0.715825i | \(-0.253949\pi\) |
−0.270782 | + | 0.962641i | \(0.587282\pi\) | |||||||
\(138\) | −78.1096 | − | 65.4243i | −0.566012 | − | 0.474089i | ||||
\(139\) | −174.956 | − | 46.8794i | −1.25868 | − | 0.337262i | −0.432996 | − | 0.901396i | \(-0.642544\pi\) |
−0.825684 | + | 0.564134i | \(0.809210\pi\) | |||||||
\(140\) | 35.9006 | − | 1.04595i | 0.256433 | − | 0.00747106i | ||||
\(141\) | −60.9868 | − | 40.0362i | −0.432531 | − | 0.283945i | ||||
\(142\) | −163.550 | + | 70.5521i | −1.15176 | + | 0.496846i | ||||
\(143\) | 52.7111i | 0.368609i | ||||||||
\(144\) | 8.11358 | − | 143.771i | 0.0563443 | − | 0.998411i | ||||
\(145\) | −7.55102 | −0.0520760 | ||||||||
\(146\) | −65.6240 | − | 152.126i | −0.449480 | − | 1.04196i | ||||
\(147\) | −81.5698 | − | 162.069i | −0.554897 | − | 1.10251i | ||||
\(148\) | −208.011 | + | 6.06030i | −1.40548 | + | 0.0409480i | ||||
\(149\) | −30.9963 | + | 115.680i | −0.208029 | + | 0.776374i | 0.780476 | + | 0.625186i | \(0.214977\pi\) |
−0.988505 | + | 0.151189i | \(0.951690\pi\) | |||||||
\(150\) | −143.392 | − | 25.1534i | −0.955947 | − | 0.167689i | ||||
\(151\) | 62.0746 | − | 107.516i | 0.411090 | − | 0.712028i | −0.583919 | − | 0.811812i | \(-0.698482\pi\) |
0.995009 | + | 0.0997832i | \(0.0318149\pi\) | |||||||
\(152\) | −57.6009 | + | 26.8637i | −0.378953 | + | 0.176735i | ||||
\(153\) | 97.4805 | + | 11.2231i | 0.637127 | + | 0.0733534i | ||||
\(154\) | 150.941 | − | 22.1125i | 0.980138 | − | 0.143588i | ||||
\(155\) | 1.71151 | + | 6.38745i | 0.0110420 | + | 0.0412094i | ||||
\(156\) | −76.3365 | + | 41.2491i | −0.489336 | + | 0.264418i | ||||
\(157\) | 296.305 | + | 79.3946i | 1.88729 | + | 0.505698i | 0.998914 | + | 0.0465835i | \(0.0148334\pi\) |
0.888377 | + | 0.459115i | \(0.151833\pi\) | |||||||
\(158\) | 136.353 | + | 15.9348i | 0.862996 | + | 0.100853i | ||||
\(159\) | −195.880 | − | 219.726i | −1.23195 | − | 1.38193i | ||||
\(160\) | −26.8927 | + | 5.55552i | −0.168079 | + | 0.0347220i | ||||
\(161\) | 177.683 | 1.10362 | ||||||||
\(162\) | −159.440 | + | 28.6853i | −0.984198 | + | 0.177070i | ||||
\(163\) | 174.457 | + | 174.457i | 1.07029 | + | 1.07029i | 0.997336 | + | 0.0729500i | \(0.0232413\pi\) |
0.0729500 | + | 0.997336i | \(0.476759\pi\) | |||||||
\(164\) | −75.1529 | + | 317.148i | −0.458250 | + | 1.93383i | ||||
\(165\) | 18.7365 | + | 1.07503i | 0.113555 | + | 0.00651534i | ||||
\(166\) | 11.3641 | − | 8.98590i | 0.0684584 | − | 0.0541319i | ||||
\(167\) | −107.460 | − | 186.127i | −0.643476 | − | 1.11453i | −0.984651 | − | 0.174533i | \(-0.944158\pi\) |
0.341176 | − | 0.939999i | \(-0.389175\pi\) | |||||||
\(168\) | 150.143 | + | 201.290i | 0.893706 | + | 1.19815i | ||||
\(169\) | −101.080 | − | 58.3585i | −0.598106 | − | 0.345317i | ||||
\(170\) | −2.71233 | − | 18.5145i | −0.0159549 | − | 0.108909i | ||||
\(171\) | 44.4449 | + | 56.0104i | 0.259911 | + | 0.327546i | ||||
\(172\) | 163.383 | + | 88.0873i | 0.949900 | + | 0.512135i | ||||
\(173\) | 44.6509 | + | 166.639i | 0.258098 | + | 0.963234i | 0.966341 | + | 0.257265i | \(0.0828214\pi\) |
−0.708243 | + | 0.705969i | \(0.750512\pi\) | |||||||
\(174\) | −30.3205 | − | 43.2209i | −0.174256 | − | 0.248396i | ||||
\(175\) | 219.863 | − | 126.938i | 1.25636 | − | 0.725360i | ||||
\(176\) | −110.715 | + | 36.6963i | −0.629065 | + | 0.208502i | ||||
\(177\) | −25.8815 | − | 8.55136i | −0.146223 | − | 0.0483128i | ||||
\(178\) | 114.530 | + | 265.497i | 0.643427 | + | 1.49155i | ||||
\(179\) | −70.8708 | − | 70.8708i | −0.395926 | − | 0.395926i | 0.480867 | − | 0.876793i | \(-0.340322\pi\) |
−0.876793 | + | 0.480867i | \(0.840322\pi\) | |||||||
\(180\) | 13.1054 | + | 27.9756i | 0.0728078 | + | 0.155420i | ||||
\(181\) | 4.33948 | + | 4.33948i | 0.0239750 | + | 0.0239750i | 0.718993 | − | 0.695018i | \(-0.244603\pi\) |
−0.695018 | + | 0.718993i | \(0.744603\pi\) | |||||||
\(182\) | 55.8631 | − | 140.624i | 0.306940 | − | 0.772657i | ||||
\(183\) | −2.40070 | − | 11.5761i | −0.0131186 | − | 0.0632573i | ||||
\(184\) | −133.787 | + | 23.5981i | −0.727105 | + | 0.128250i | ||||
\(185\) | 38.6633 | − | 22.3223i | 0.208991 | − | 0.120661i | ||||
\(186\) | −29.6884 | + | 35.4447i | −0.159615 | + | 0.190563i | ||||
\(187\) | −20.5709 | − | 76.7715i | −0.110005 | − | 0.410543i | ||||
\(188\) | −93.1845 | + | 27.9014i | −0.495662 | + | 0.148412i | ||||
\(189\) | 181.031 | − | 216.884i | 0.957835 | − | 1.14753i | ||||
\(190\) | 8.14221 | − | 10.9373i | 0.0428538 | − | 0.0575648i | ||||
\(191\) | 199.278 | + | 115.053i | 1.04334 | + | 0.602373i | 0.920778 | − | 0.390087i | \(-0.127555\pi\) |
0.122563 | + | 0.992461i | \(0.460889\pi\) | |||||||
\(192\) | −139.784 | − | 131.622i | −0.728044 | − | 0.685531i | ||||
\(193\) | −125.936 | − | 218.127i | −0.652518 | − | 1.13019i | −0.982510 | − | 0.186210i | \(-0.940379\pi\) |
0.329992 | − | 0.943984i | \(-0.392954\pi\) | |||||||
\(194\) | −22.5898 | + | 193.300i | −0.116442 | + | 0.996389i | ||||
\(195\) | 10.2156 | − | 15.5613i | 0.0523877 | − | 0.0798017i | ||||
\(196\) | −235.400 | − | 55.7815i | −1.20102 | − | 0.284599i | ||||
\(197\) | −129.669 | − | 129.669i | −0.658219 | − | 0.658219i | 0.296739 | − | 0.954959i | \(-0.404101\pi\) |
−0.954959 | + | 0.296739i | \(0.904101\pi\) | |||||||
\(198\) | 69.0816 | + | 111.562i | 0.348897 | + | 0.563442i | ||||
\(199\) | −205.292 | −1.03162 | −0.515810 | − | 0.856703i | \(-0.672509\pi\) | ||||
−0.515810 | + | 0.856703i | \(0.672509\pi\) | |||||||
\(200\) | −148.689 | + | 124.779i | −0.743445 | + | 0.623895i | ||||
\(201\) | −118.265 | + | 357.939i | −0.588383 | + | 1.78079i | ||||
\(202\) | 240.502 | − | 190.171i | 1.19060 | − | 0.941443i | ||||
\(203\) | 88.9319 | + | 23.8292i | 0.438088 | + | 0.117385i | ||||
\(204\) | 95.0831 | − | 89.8685i | 0.466094 | − | 0.440532i | ||||
\(205\) | −18.0976 | − | 67.5411i | −0.0882809 | − | 0.329469i | ||||
\(206\) | −283.539 | − | 211.079i | −1.37640 | − | 1.02465i | ||||
\(207\) | 60.7770 | + | 140.230i | 0.293609 | + | 0.677439i | ||||
\(208\) | −23.3863 | + | 113.303i | −0.112434 | + | 0.544725i | ||||
\(209\) | 28.9579 | − | 50.1565i | 0.138554 | − | 0.239983i | ||||
\(210\) | −48.8463 | − | 22.7249i | −0.232601 | − | 0.108214i | ||||
\(211\) | −25.8542 | + | 96.4890i | −0.122532 | + | 0.457294i | −0.999740 | − | 0.0228164i | \(-0.992737\pi\) |
0.877208 | + | 0.480110i | \(0.159403\pi\) | |||||||
\(212\) | −392.315 | + | 11.4299i | −1.85054 | + | 0.0539148i | ||||
\(213\) | 266.739 | + | 15.3045i | 1.25229 | + | 0.0718520i | ||||
\(214\) | 16.1367 | − | 40.6208i | 0.0754052 | − | 0.189817i | ||||
\(215\) | −39.8212 | −0.185215 | ||||||||
\(216\) | −107.504 | + | 187.347i | −0.497704 | + | 0.867347i | ||||
\(217\) | − | 80.6291i | − | 0.371563i | ||||||
\(218\) | 87.9210 | − | 221.322i | 0.403307 | − | 1.01524i | ||||
\(219\) | −14.2354 | + | 248.107i | −0.0650020 | + | 1.13291i | ||||
\(220\) | 17.1712 | − | 18.2018i | 0.0780509 | − | 0.0827354i | ||||
\(221\) | −76.1480 | − | 20.4038i | −0.344561 | − | 0.0923248i | ||||
\(222\) | 283.019 | + | 131.670i | 1.27486 | + | 0.593107i | ||||
\(223\) | 10.8479 | + | 6.26305i | 0.0486454 | + | 0.0280854i | 0.524125 | − | 0.851641i | \(-0.324392\pi\) |
−0.475480 | + | 0.879726i | \(0.657726\pi\) | |||||||
\(224\) | 334.259 | + | 19.4369i | 1.49223 | + | 0.0867720i | ||||
\(225\) | 175.387 | + | 130.100i | 0.779496 | + | 0.578222i | ||||
\(226\) | −143.202 | − | 106.606i | −0.633637 | − | 0.471707i | ||||
\(227\) | 213.713 | − | 57.2643i | 0.941468 | − | 0.252265i | 0.244730 | − | 0.969591i | \(-0.421301\pi\) |
0.696738 | + | 0.717326i | \(0.254634\pi\) | |||||||
\(228\) | 95.2979 | + | 2.68688i | 0.417973 | + | 0.0117846i | ||||
\(229\) | 9.58932 | − | 35.7878i | 0.0418748 | − | 0.156279i | −0.941823 | − | 0.336110i | \(-0.890889\pi\) |
0.983697 | + | 0.179831i | \(0.0575552\pi\) | |||||||
\(230\) | 22.8616 | − | 18.0773i | 0.0993983 | − | 0.0785970i | ||||
\(231\) | −217.276 | − | 71.7890i | −0.940588 | − | 0.310775i | ||||
\(232\) | −70.1267 | − | 6.13131i | −0.302270 | − | 0.0264281i | ||||
\(233\) | − | 3.99805i | − | 0.0171590i | −0.999963 | − | 0.00857951i | \(-0.997269\pi\) | ||
0.999963 | − | 0.00857951i | \(-0.00273098\pi\) | |||||||
\(234\) | 130.091 | − | 4.01275i | 0.555943 | − | 0.0171485i | ||||
\(235\) | 14.7561 | − | 14.7561i | 0.0627919 | − | 0.0627919i | ||||
\(236\) | −30.9318 | + | 19.0806i | −0.131067 | + | 0.0808500i | ||||
\(237\) | −172.143 | − | 113.007i | −0.726342 | − | 0.476824i | ||||
\(238\) | −26.4830 | + | 226.613i | −0.111273 | + | 0.952157i | ||||
\(239\) | −14.3118 | + | 8.26293i | −0.0598821 | + | 0.0345729i | −0.529642 | − | 0.848221i | \(-0.677674\pi\) |
0.469760 | + | 0.882794i | \(0.344340\pi\) | |||||||
\(240\) | 39.7972 | + | 10.6236i | 0.165822 | + | 0.0442649i | ||||
\(241\) | 23.6755 | − | 41.0071i | 0.0982384 | − | 0.170154i | −0.812717 | − | 0.582658i | \(-0.802013\pi\) |
0.910956 | + | 0.412505i | \(0.135346\pi\) | |||||||
\(242\) | −81.0410 | + | 108.861i | −0.334880 | + | 0.449840i | ||||
\(243\) | 233.090 | + | 68.6866i | 0.959220 | + | 0.282661i | ||||
\(244\) | −13.8751 | − | 7.48070i | −0.0568650 | − | 0.0306586i | ||||
\(245\) | 50.1317 | − | 13.4327i | 0.204619 | − | 0.0548275i | ||||
\(246\) | 313.926 | − | 374.794i | 1.27612 | − | 1.52355i | ||||
\(247\) | −28.7227 | − | 49.7491i | −0.116286 | − | 0.201414i | ||||
\(248\) | 10.7084 | + | 60.7103i | 0.0431790 | + | 0.244800i | ||||
\(249\) | −21.2786 | + | 4.41284i | −0.0854560 | + | 0.0177223i | ||||
\(250\) | 31.2150 | − | 78.5772i | 0.124860 | − | 0.314309i | ||||
\(251\) | 144.761 | − | 144.761i | 0.576738 | − | 0.576738i | −0.357265 | − | 0.934003i | \(-0.616291\pi\) |
0.934003 | + | 0.357265i | \(0.116291\pi\) | |||||||
\(252\) | −66.0643 | − | 370.839i | −0.262160 | − | 1.47158i | ||||
\(253\) | 87.5356 | − | 87.5356i | 0.345991 | − | 0.345991i | ||||
\(254\) | −75.8655 | − | 175.867i | −0.298683 | − | 0.692389i | ||||
\(255\) | −8.80568 | + | 26.6512i | −0.0345321 | + | 0.104514i | ||||
\(256\) | −254.265 | + | 29.7580i | −0.993221 | + | 0.116242i | ||||
\(257\) | 125.090 | + | 216.663i | 0.486732 | + | 0.843045i | 0.999884 | − | 0.0152528i | \(-0.00485531\pi\) |
−0.513151 | + | 0.858298i | \(0.671522\pi\) | |||||||
\(258\) | −159.899 | − | 227.931i | −0.619763 | − | 0.883452i | ||||
\(259\) | −525.800 | + | 140.888i | −2.03011 | + | 0.543967i | ||||
\(260\) | −7.11930 | − | 23.7769i | −0.0273819 | − | 0.0914495i | ||||
\(261\) | 11.6131 | + | 78.3374i | 0.0444945 | + | 0.300143i | ||||
\(262\) | 38.0988 | + | 260.064i | 0.145415 | + | 0.992611i | ||||
\(263\) | 44.5421 | − | 77.1492i | 0.169362 | − | 0.293343i | −0.768834 | − | 0.639449i | \(-0.779163\pi\) |
0.938196 | + | 0.346105i | \(0.112496\pi\) | |||||||
\(264\) | 173.134 | + | 25.1976i | 0.655810 | + | 0.0954454i | ||||
\(265\) | 72.9204 | − | 42.1006i | 0.275171 | − | 0.158870i | ||||
\(266\) | −130.410 | + | 103.119i | −0.490264 | + | 0.387665i | ||||
\(267\) | 24.8443 | − | 433.007i | 0.0930500 | − | 1.62175i | ||||
\(268\) | 263.884 | + | 427.785i | 0.984642 | + | 1.59621i | ||||
\(269\) | −137.619 | + | 137.619i | −0.511595 | + | 0.511595i | −0.915015 | − | 0.403420i | \(-0.867821\pi\) |
0.403420 | + | 0.915015i | \(0.367821\pi\) | |||||||
\(270\) | 1.22681 | − | 46.3234i | 0.00454375 | − | 0.171568i | ||||
\(271\) | − | 334.184i | − | 1.23315i | −0.787295 | − | 0.616576i | \(-0.788519\pi\) | ||
0.787295 | − | 0.616576i | \(-0.211481\pi\) | |||||||
\(272\) | −10.1561 | − | 174.147i | −0.0373384 | − | 0.640248i | ||||
\(273\) | −169.422 | + | 151.035i | −0.620592 | + | 0.553242i | ||||
\(274\) | −134.341 | − | 15.6996i | −0.490295 | − | 0.0572980i | ||||
\(275\) | 45.7797 | − | 170.852i | 0.166472 | − | 0.621281i | ||||
\(276\) | 195.271 | + | 58.2684i | 0.707502 | + | 0.211117i | ||||
\(277\) | −130.698 | + | 35.0205i | −0.471835 | + | 0.126428i | −0.486898 | − | 0.873459i | \(-0.661872\pi\) |
0.0150632 | + | 0.999887i | \(0.495205\pi\) | |||||||
\(278\) | 358.431 | − | 52.5092i | 1.28932 | − | 0.188882i | ||||
\(279\) | 63.6338 | − | 27.5795i | 0.228078 | − | 0.0988512i | ||||
\(280\) | −65.0998 | + | 30.3610i | −0.232499 | + | 0.108432i | ||||
\(281\) | −87.7929 | − | 50.6873i | −0.312430 | − | 0.180382i | 0.335583 | − | 0.942011i | \(-0.391067\pi\) |
−0.648013 | + | 0.761629i | \(0.724400\pi\) | |||||||
\(282\) | 143.714 | + | 25.2098i | 0.509623 | + | 0.0893964i | ||||
\(283\) | 295.592 | + | 79.2038i | 1.04450 | + | 0.279872i | 0.739976 | − | 0.672634i | \(-0.234837\pi\) |
0.304521 | + | 0.952506i | \(0.401504\pi\) | |||||||
\(284\) | 244.455 | − | 259.126i | 0.860756 | − | 0.912416i | ||||
\(285\) | −18.2694 | + | 9.19504i | −0.0641033 | + | 0.0322633i | ||||
\(286\) | −41.7574 | − | 96.7996i | −0.146005 | − | 0.338460i | ||||
\(287\) | 852.575i | 2.97064i | ||||||||
\(288\) | 98.9948 | + | 270.452i | 0.343732 | + | 0.939068i | ||||
\(289\) | −170.131 | −0.588688 | ||||||||
\(290\) | 13.8668 | − | 5.98188i | 0.0478167 | − | 0.0206272i | ||||
\(291\) | 160.203 | − | 244.036i | 0.550527 | − | 0.838613i | ||||
\(292\) | 241.026 | + | 227.379i | 0.825432 | + | 0.778696i | ||||
\(293\) | 39.8684 | − | 148.791i | 0.136070 | − | 0.507819i | −0.863921 | − | 0.503627i | \(-0.831999\pi\) |
0.999991 | − | 0.00419275i | \(-0.00133460\pi\) | |||||||
\(294\) | 278.187 | + | 233.008i | 0.946213 | + | 0.792544i | ||||
\(295\) | 3.89848 | − | 6.75236i | 0.0132152 | − | 0.0228893i | ||||
\(296\) | 377.193 | − | 175.914i | 1.27430 | − | 0.594304i | ||||
\(297\) | −17.6629 | − | 196.033i | −0.0594712 | − | 0.660045i | ||||
\(298\) | −34.7187 | − | 236.991i | −0.116506 | − | 0.795273i | ||||
\(299\) | −31.7800 | − | 118.605i | −0.106288 | − | 0.396671i | ||||
\(300\) | 283.254 | − | 67.4023i | 0.944180 | − | 0.224674i | ||||
\(301\) | 468.993 | + | 125.666i | 1.55812 | + | 0.417496i | ||||
\(302\) | −28.8210 | + | 246.620i | −0.0954339 | + | 0.816622i | ||||
\(303\) | −450.325 | + | 93.3904i | −1.48622 | + | 0.308219i | ||||
\(304\) | 84.4980 | − | 94.9640i | 0.277954 | − | 0.312382i | ||||
\(305\) | 3.38176 | 0.0110877 | ||||||||
\(306\) | −187.906 | + | 56.6132i | −0.614071 | + | 0.185010i | ||||
\(307\) | −98.8548 | − | 98.8548i | −0.322003 | − | 0.322003i | 0.527532 | − | 0.849535i | \(-0.323117\pi\) |
−0.849535 | + | 0.527532i | \(0.823117\pi\) | |||||||
\(308\) | −259.674 | + | 160.183i | −0.843096 | + | 0.520073i | ||||
\(309\) | 238.372 | + | 473.617i | 0.771430 | + | 1.53274i | ||||
\(310\) | −8.20316 | − | 10.3742i | −0.0264618 | − | 0.0334651i | ||||
\(311\) | 258.528 | + | 447.784i | 0.831280 | + | 1.43982i | 0.897024 | + | 0.441982i | \(0.145725\pi\) |
−0.0657442 | + | 0.997837i | \(0.520942\pi\) | |||||||
\(312\) | 107.508 | − | 136.224i | 0.344578 | − | 0.436615i | ||||
\(313\) | 70.6134 | + | 40.7686i | 0.225602 | + | 0.130251i | 0.608541 | − | 0.793522i | \(-0.291755\pi\) |
−0.382940 | + | 0.923773i | \(0.625088\pi\) | |||||||
\(314\) | −607.035 | + | 88.9292i | −1.93323 | + | 0.283214i | ||||
\(315\) | 50.2311 | + | 63.3024i | 0.159464 | + | 0.200960i | ||||
\(316\) | −263.025 | + | 78.7553i | −0.832358 | + | 0.249226i | ||||
\(317\) | 60.0475 | + | 224.100i | 0.189424 | + | 0.706941i | 0.993640 | + | 0.112604i | \(0.0359190\pi\) |
−0.804216 | + | 0.594338i | \(0.797414\pi\) | |||||||
\(318\) | 533.784 | + | 248.334i | 1.67856 | + | 0.780924i | ||||
\(319\) | 55.5520 | − | 32.0730i | 0.174144 | − | 0.100542i | ||||
\(320\) | 44.9851 | − | 31.5065i | 0.140579 | − | 0.0984578i | ||||
\(321\) | −48.9394 | + | 43.6283i | −0.152459 | + | 0.135914i | ||||
\(322\) | −326.299 | + | 140.759i | −1.01335 | + | 0.437140i | ||||
\(323\) | 61.2483 | + | 61.2483i | 0.189623 | + | 0.189623i | ||||
\(324\) | 270.074 | − | 178.986i | 0.833563 | − | 0.552425i | ||||
\(325\) | −124.057 | − | 124.057i | −0.381713 | − | 0.381713i | ||||
\(326\) | −458.578 | − | 182.172i | −1.40668 | − | 0.558809i | ||||
\(327\) | −266.647 | + | 237.709i | −0.815433 | + | 0.726938i | ||||
\(328\) | −113.231 | − | 641.952i | −0.345216 | − | 1.95717i | ||||
\(329\) | −220.356 | + | 127.223i | −0.669776 | + | 0.386695i | ||||
\(330\) | −35.2597 | + | 12.8687i | −0.106847 | + | 0.0389962i | ||||
\(331\) | −119.705 | − | 446.744i | −0.361646 | − | 1.34968i | −0.871912 | − | 0.489663i | \(-0.837120\pi\) |
0.510266 | − | 0.860017i | \(-0.329547\pi\) | |||||||
\(332\) | −13.7506 | + | 25.5044i | −0.0414176 | + | 0.0768206i | ||||
\(333\) | −291.042 | − | 366.778i | −0.874001 | − | 1.10144i | ||||
\(334\) | 344.791 | + | 256.677i | 1.03231 | + | 0.768494i | ||||
\(335\) | −93.3848 | − | 53.9158i | −0.278761 | − | 0.160943i | ||||
\(336\) | −435.185 | − | 250.709i | −1.29519 | − | 0.746159i | ||||
\(337\) | −204.678 | − | 354.513i | −0.607353 | − | 1.05197i | −0.991675 | − | 0.128767i | \(-0.958898\pi\) |
0.384322 | − | 0.923199i | \(-0.374435\pi\) | |||||||
\(338\) | 231.856 | + | 27.0957i | 0.685965 | + | 0.0801648i | ||||
\(339\) | 120.390 | + | 239.201i | 0.355134 | + | 0.705608i | ||||
\(340\) | 19.6481 | + | 31.8517i | 0.0577884 | + | 0.0936814i | ||||
\(341\) | −39.7221 | − | 39.7221i | −0.116487 | − | 0.116487i | ||||
\(342\) | −125.990 | − | 67.6496i | −0.368393 | − | 0.197806i | ||||
\(343\) | −120.115 | −0.350189 | ||||||||
\(344\) | −369.821 | − | 32.3342i | −1.07506 | − | 0.0939947i | ||||
\(345\) | −42.8069 | + | 8.87750i | −0.124078 | + | 0.0257319i | ||||
\(346\) | −214.008 | − | 270.647i | −0.618521 | − | 0.782218i | ||||
\(347\) | 104.002 | + | 27.8673i | 0.299718 | + | 0.0803093i | 0.405544 | − | 0.914075i | \(-0.367082\pi\) |
−0.105826 | + | 0.994385i | \(0.533749\pi\) | |||||||
\(348\) | 89.9205 | + | 55.3519i | 0.258392 | + | 0.159057i | ||||
\(349\) | −78.3405 | − | 292.371i | −0.224471 | − | 0.837739i | −0.982616 | − | 0.185652i | \(-0.940560\pi\) |
0.758144 | − | 0.652087i | \(-0.226106\pi\) | |||||||
\(350\) | −303.201 | + | 407.286i | −0.866289 | + | 1.16367i | ||||
\(351\) | −177.151 | − | 82.0482i | −0.504703 | − | 0.233756i | ||||
\(352\) | 174.249 | − | 155.098i | 0.495026 | − | 0.440619i | ||||
\(353\) | −96.7331 | + | 167.547i | −0.274032 | + | 0.474637i | −0.969890 | − | 0.243542i | \(-0.921691\pi\) |
0.695859 | + | 0.718179i | \(0.255024\pi\) | |||||||
\(354\) | 54.3035 | − | 4.79926i | 0.153400 | − | 0.0135572i | ||||
\(355\) | −19.7803 | + | 73.8212i | −0.0557193 | + | 0.207947i | ||||
\(356\) | −420.650 | − | 396.833i | −1.18160 | − | 1.11470i | ||||
\(357\) | 187.813 | − | 286.094i | 0.526087 | − | 0.801385i | ||||
\(358\) | 186.292 | + | 74.0049i | 0.520368 | + | 0.206718i | ||||
\(359\) | 43.2253 | 0.120405 | 0.0602024 | − | 0.998186i | \(-0.480825\pi\) | ||||
0.0602024 | + | 0.998186i | \(0.480825\pi\) | |||||||
\(360\) | −46.2291 | − | 40.9928i | −0.128414 | − | 0.113869i | ||||
\(361\) | − | 297.883i | − | 0.825159i | ||||||
\(362\) | −11.4068 | − | 4.53139i | −0.0315105 | − | 0.0125176i | ||||
\(363\) | 181.839 | − | 91.5200i | 0.500935 | − | 0.252121i | ||||
\(364\) | 8.81316 | + | 302.498i | 0.0242120 | + | 0.831039i | ||||
\(365\) | −68.6648 | − | 18.3987i | −0.188123 | − | 0.0504073i | ||||
\(366\) | 13.5792 | + | 19.3567i | 0.0371016 | + | 0.0528871i | ||||
\(367\) | 314.433 | + | 181.538i | 0.856767 | + | 0.494655i | 0.862928 | − | 0.505327i | \(-0.168628\pi\) |
−0.00616149 | + | 0.999981i | \(0.501961\pi\) | |||||||
\(368\) | 226.995 | − | 149.321i | 0.616835 | − | 0.405765i | ||||
\(369\) | −672.866 | + | 291.626i | −1.82348 | + | 0.790315i | ||||
\(370\) | −53.3184 | + | 71.6219i | −0.144104 | + | 0.193573i | ||||
\(371\) | −991.677 | + | 265.719i | −2.67298 | + | 0.716224i | ||||
\(372\) | 26.4411 | − | 88.6103i | 0.0710783 | − | 0.238200i | ||||
\(373\) | −68.3014 | + | 254.904i | −0.183114 | + | 0.683390i | 0.811913 | + | 0.583779i | \(0.198427\pi\) |
−0.995026 | + | 0.0996110i | \(0.968240\pi\) | |||||||
\(374\) | 98.5947 | + | 124.688i | 0.263622 | + | 0.333392i | ||||
\(375\) | −94.6689 | + | 84.3948i | −0.252450 | + | 0.225053i | ||||
\(376\) | 149.022 | − | 125.059i | 0.396336 | − | 0.332603i | ||||
\(377\) | − | 63.6249i | − | 0.168766i | ||||||
\(378\) | −160.634 | + | 541.700i | −0.424958 | + | 1.43307i | ||||
\(379\) | −31.8574 | + | 31.8574i | −0.0840565 | + | 0.0840565i | −0.747885 | − | 0.663828i | \(-0.768931\pi\) |
0.663828 | + | 0.747885i | \(0.268931\pi\) | |||||||
\(380\) | −6.28802 | + | 26.5357i | −0.0165474 | + | 0.0698308i | ||||
\(381\) | −16.4571 | + | 286.827i | −0.0431944 | + | 0.752827i | ||||
\(382\) | −457.102 | − | 53.4189i | −1.19660 | − | 0.139840i | ||||
\(383\) | 195.603 | − | 112.932i | 0.510714 | − | 0.294861i | −0.222413 | − | 0.974952i | \(-0.571393\pi\) |
0.733127 | + | 0.680092i | \(0.238060\pi\) | |||||||
\(384\) | 360.973 | + | 130.976i | 0.940033 | + | 0.341084i | ||||
\(385\) | 32.7279 | − | 56.6863i | 0.0850074 | − | 0.147237i | ||||
\(386\) | 404.070 | + | 300.807i | 1.04681 | + | 0.779294i | ||||
\(387\) | 61.2429 | + | 413.121i | 0.158250 | + | 1.06750i | ||||
\(388\) | −111.646 | − | 372.874i | −0.287749 | − | 0.961016i | ||||
\(389\) | 458.472 | − | 122.847i | 1.17859 | − | 0.315802i | 0.384223 | − | 0.923240i | \(-0.374469\pi\) |
0.794367 | + | 0.607438i | \(0.207803\pi\) | |||||||
\(390\) | −6.43250 | + | 36.6699i | −0.0164936 | + | 0.0940253i | ||||
\(391\) | 92.5726 | + | 160.340i | 0.236759 | + | 0.410078i | ||||
\(392\) | 476.482 | − | 84.0443i | 1.21552 | − | 0.214399i | ||||
\(393\) | 123.689 | − | 374.355i | 0.314730 | − | 0.952558i | ||||
\(394\) | 340.850 | + | 135.404i | 0.865101 | + | 0.343664i | ||||
\(395\) | 41.6510 | − | 41.6510i | 0.105446 | − | 0.105446i | ||||
\(396\) | −215.241 | − | 150.148i | −0.543538 | − | 0.379161i | ||||
\(397\) | −122.223 | + | 122.223i | −0.307868 | + | 0.307868i | −0.844082 | − | 0.536214i | \(-0.819854\pi\) |
0.536214 | + | 0.844082i | \(0.319854\pi\) | |||||||
\(398\) | 377.002 | − | 162.631i | 0.947242 | − | 0.408621i | ||||
\(399\) | 244.185 | − | 50.6402i | 0.611992 | − | 0.126918i | ||||
\(400\) | 174.206 | − | 346.937i | 0.435514 | − | 0.867342i | ||||
\(401\) | −108.307 | − | 187.593i | −0.270092 | − | 0.467813i | 0.698793 | − | 0.715324i | \(-0.253721\pi\) |
−0.968885 | + | 0.247511i | \(0.920387\pi\) | |||||||
\(402\) | −66.3735 | − | 751.015i | −0.165108 | − | 1.86820i | ||||
\(403\) | −53.8207 | + | 14.4212i | −0.133550 | + | 0.0357846i | ||||
\(404\) | −291.009 | + | 539.758i | −0.720319 | + | 1.33604i | ||||
\(405\) | −32.7775 | + | 61.2960i | −0.0809322 | + | 0.151348i | ||||
\(406\) | −182.193 | + | 26.6909i | −0.448752 | + | 0.0657411i | ||||
\(407\) | −189.628 | + | 328.445i | −0.465916 | + | 0.806989i | ||||
\(408\) | −103.419 | + | 240.360i | −0.253478 | + | 0.589119i | ||||
\(409\) | −467.836 | + | 270.105i | −1.14385 | + | 0.660403i | −0.947382 | − | 0.320106i | \(-0.896281\pi\) |
−0.196471 | + | 0.980510i | \(0.562948\pi\) | |||||||
\(410\) | 86.7404 | + | 109.697i | 0.211562 | + | 0.267553i | ||||
\(411\) | 169.602 | + | 111.339i | 0.412658 | + | 0.270899i | ||||
\(412\) | 687.911 | + | 163.011i | 1.66969 | + | 0.395657i | ||||
\(413\) | −67.2230 | + | 67.2230i | −0.162767 | + | 0.162767i | ||||
\(414\) | −222.701 | − | 209.374i | −0.537926 | − | 0.505733i | ||||
\(415\) | − | 6.21618i | − | 0.0149787i | ||||||
\(416\) | −46.8108 | − | 226.598i | −0.112526 | − | 0.544706i | ||||
\(417\) | −515.952 | − | 170.473i | −1.23729 | − | 0.408808i | ||||
\(418\) | −13.4451 | + | 115.049i | −0.0321652 | + | 0.275236i | ||||
\(419\) | 118.491 | − | 442.215i | 0.282795 | − | 1.05540i | −0.667641 | − | 0.744484i | \(-0.732696\pi\) |
0.950436 | − | 0.310921i | \(-0.100638\pi\) | |||||||
\(420\) | 107.705 | + | 3.03668i | 0.256440 | + | 0.00723020i | ||||
\(421\) | −244.993 | + | 65.6458i | −0.581932 | + | 0.155928i | −0.537763 | − | 0.843096i | \(-0.680731\pi\) |
−0.0441687 | + | 0.999024i | \(0.514064\pi\) | |||||||
\(422\) | −28.9590 | − | 197.676i | −0.0686232 | − | 0.468426i | ||||
\(423\) | −175.780 | − | 130.392i | −0.415555 | − | 0.308255i | ||||
\(424\) | 711.400 | − | 331.780i | 1.67783 | − | 0.782500i | ||||
\(425\) | 229.097 | + | 132.269i | 0.539053 | + | 0.311222i | ||||
\(426\) | −501.968 | + | 183.203i | −1.17833 | + | 0.430055i | ||||
\(427\) | −39.8286 | − | 10.6720i | −0.0932754 | − | 0.0249931i | ||||
\(428\) | 2.54578 | + | 87.3801i | 0.00594809 | + | 0.204159i | ||||
\(429\) | −9.05820 | + | 157.874i | −0.0211147 | + | 0.368004i | ||||
\(430\) | 73.1283 | − | 31.5461i | 0.170066 | − | 0.0733631i | ||||
\(431\) | 191.766i | 0.444933i | 0.974940 | + | 0.222467i | \(0.0714108\pi\) | ||||
−0.974940 | + | 0.222467i | \(0.928589\pi\) | |||||||
\(432\) | 49.0073 | − | 429.211i | 0.113443 | − | 0.993545i | ||||
\(433\) | −671.361 | −1.55049 | −0.775244 | − | 0.631662i | \(-0.782373\pi\) | ||||
−0.775244 | + | 0.631662i | \(0.782373\pi\) | |||||||
\(434\) | 63.8739 | + | 148.069i | 0.147175 | + | 0.341172i | ||||
\(435\) | −22.6159 | − | 1.29761i | −0.0519905 | − | 0.00298302i | ||||
\(436\) | 13.8707 | + | 476.091i | 0.0318136 | + | 1.09195i | ||||
\(437\) | −34.9180 | + | 130.316i | −0.0799038 | + | 0.298205i | ||||
\(438\) | −170.407 | − | 466.905i | −0.389056 | − | 1.06599i | ||||
\(439\) | 316.677 | − | 548.501i | 0.721360 | − | 1.24943i | −0.239094 | − | 0.970996i | \(-0.576851\pi\) |
0.960455 | − | 0.278436i | \(-0.0898161\pi\) | |||||||
\(440\) | −17.1142 | + | 47.0290i | −0.0388958 | + | 0.106884i | ||||
\(441\) | −216.457 | − | 499.427i | −0.490831 | − | 1.13249i | ||||
\(442\) | 156.003 | − | 22.8541i | 0.352948 | − | 0.0517061i | ||||
\(443\) | −154.913 | − | 578.144i | −0.349691 | − | 1.30507i | −0.887035 | − | 0.461702i | \(-0.847239\pi\) |
0.537344 | − | 0.843363i | \(-0.319428\pi\) | |||||||
\(444\) | −624.048 | − | 17.5948i | −1.40551 | − | 0.0396279i | ||||
\(445\) | 119.837 | + | 32.1102i | 0.269296 | + | 0.0721577i | ||||
\(446\) | −24.8828 | − | 2.90791i | −0.0557911 | − | 0.00651999i | ||||
\(447\) | −112.715 | + | 341.143i | −0.252160 | + | 0.763183i | ||||
\(448\) | −629.238 | + | 229.104i | −1.40455 | + | 0.511393i | ||||
\(449\) | 375.940 | 0.837284 | 0.418642 | − | 0.908151i | \(-0.362506\pi\) | ||||
0.418642 | + | 0.908151i | \(0.362506\pi\) | |||||||
\(450\) | −425.147 | − | 99.9776i | −0.944772 | − | 0.222172i | ||||
\(451\) | 420.023 | + | 420.023i | 0.931314 | + | 0.931314i | ||||
\(452\) | 347.431 | + | 82.3289i | 0.768653 | + | 0.182144i | ||||
\(453\) | 204.394 | − | 311.352i | 0.451201 | − | 0.687311i | ||||
\(454\) | −347.102 | + | 274.463i | −0.764542 | + | 0.604545i | ||||
\(455\) | −32.4620 | − | 56.2259i | −0.0713451 | − | 0.123573i | ||||
\(456\) | −177.135 | + | 70.5602i | −0.388455 | + | 0.154737i | ||||
\(457\) | 149.241 | + | 86.1645i | 0.326568 | + | 0.188544i | 0.654316 | − | 0.756221i | \(-0.272957\pi\) |
−0.327749 | + | 0.944765i | \(0.606290\pi\) | |||||||
\(458\) | 10.7409 | + | 73.3180i | 0.0234518 | + | 0.160083i | ||||
\(459\) | 290.033 | + | 50.3656i | 0.631879 | + | 0.109729i | ||||
\(460\) | −27.6627 | + | 51.3083i | −0.0601363 | + | 0.111540i | ||||
\(461\) | −29.9765 | − | 111.874i | −0.0650249 | − | 0.242676i | 0.925762 | − | 0.378107i | \(-0.123425\pi\) |
−0.990787 | + | 0.135431i | \(0.956758\pi\) | |||||||
\(462\) | 455.880 | − | 40.2900i | 0.986753 | − | 0.0872077i | ||||
\(463\) | 291.279 | − | 168.170i | 0.629111 | − | 0.363218i | −0.151297 | − | 0.988488i | \(-0.548345\pi\) |
0.780408 | + | 0.625271i | \(0.215012\pi\) | |||||||
\(464\) | 133.639 | − | 44.2943i | 0.288015 | − | 0.0954618i | ||||
\(465\) | 4.02845 | + | 19.4250i | 0.00866333 | + | 0.0417742i | ||||
\(466\) | 3.16723 | + | 7.34209i | 0.00679664 | + | 0.0157556i | ||||
\(467\) | −230.097 | − | 230.097i | −0.492713 | − | 0.492713i | 0.416447 | − | 0.909160i | \(-0.363275\pi\) |
−0.909160 | + | 0.416447i | \(0.863275\pi\) | |||||||
\(468\) | −235.722 | + | 110.426i | −0.503679 | + | 0.235953i | ||||
\(469\) | 929.691 | + | 929.691i | 1.98228 | + | 1.98228i | ||||
\(470\) | −15.4087 | + | 38.7881i | −0.0327844 | + | 0.0825278i | ||||
\(471\) | 873.811 | + | 288.712i | 1.85523 | + | 0.612976i | ||||
\(472\) | 41.6881 | − | 59.5439i | 0.0883223 | − | 0.126152i | ||||
\(473\) | 292.960 | − | 169.140i | 0.619365 | − | 0.357591i | ||||
\(474\) | 405.650 | + | 71.1578i | 0.855802 | + | 0.150122i | ||||
\(475\) | 49.8915 | + | 186.197i | 0.105035 | + | 0.391995i | ||||
\(476\) | −130.888 | − | 437.137i | −0.274975 | − | 0.918354i | ||||
\(477\) | −548.917 | − | 691.757i | −1.15077 | − | 1.45022i | ||||
\(478\) | 19.7366 | − | 26.5119i | 0.0412900 | − | 0.0554643i | ||||
\(479\) | −156.572 | − | 90.3968i | −0.326872 | − | 0.188720i | 0.327579 | − | 0.944824i | \(-0.393767\pi\) |
−0.654452 | + | 0.756104i | \(0.727100\pi\) | |||||||
\(480\) | −81.5003 | + | 12.0178i | −0.169792 | + | 0.0250371i | ||||
\(481\) | 188.087 | + | 325.777i | 0.391034 | + | 0.677291i | ||||
\(482\) | −10.9924 | + | 94.0617i | −0.0228059 | + | 0.195149i | ||||
\(483\) | 532.172 | + | 30.5341i | 1.10181 | + | 0.0632175i | ||||
\(484\) | 62.5859 | − | 264.115i | 0.129310 | − | 0.545692i | ||||
\(485\) | 59.0460 | + | 59.0460i | 0.121744 | + | 0.121744i | ||||
\(486\) | −482.464 | + | 58.5155i | −0.992725 | + | 0.120402i | ||||
\(487\) | −157.394 | −0.323192 | −0.161596 | − | 0.986857i | \(-0.551664\pi\) | ||||
−0.161596 | + | 0.986857i | \(0.551664\pi\) | |||||||
\(488\) | 31.4066 | + | 2.74594i | 0.0643577 | + | 0.00562692i | ||||
\(489\) | 492.531 | + | 552.490i | 1.00722 | + | 1.12984i | ||||
\(490\) | −81.4213 | + | 64.3821i | −0.166166 | + | 0.131392i | ||||
\(491\) | 744.948 | + | 199.608i | 1.51721 | + | 0.406534i | 0.918821 | − | 0.394674i | \(-0.129143\pi\) |
0.598385 | + | 0.801209i | \(0.295809\pi\) | |||||||
\(492\) | −279.589 | + | 936.968i | −0.568271 | + | 1.90441i | ||||
\(493\) | 24.8301 | + | 92.6670i | 0.0503652 | + | 0.187966i | ||||
\(494\) | 92.1578 | + | 68.6062i | 0.186554 | + | 0.138879i | ||||
\(495\) | 55.9325 | + | 6.43959i | 0.112995 | + | 0.0130093i | ||||
\(496\) | −67.7594 | − | 103.006i | −0.136612 | − | 0.207674i | ||||
\(497\) | 465.924 | − | 807.005i | 0.937473 | − | 1.62375i | ||||
\(498\) | 35.5805 | − | 24.9606i | 0.0714467 | − | 0.0501216i | ||||
\(499\) | 126.534 | − | 472.231i | 0.253575 | − | 0.946355i | −0.715302 | − | 0.698815i | \(-0.753711\pi\) |
0.968878 | − | 0.247540i | \(-0.0796223\pi\) | |||||||
\(500\) | 4.92458 | + | 169.029i | 0.00984917 | + | 0.338058i | ||||
\(501\) | −289.867 | − | 575.930i | −0.578576 | − | 1.14956i | ||||
\(502\) | −151.163 | + | 380.521i | −0.301121 | + | 0.758009i | ||||
\(503\) | 92.0334 | 0.182969 | 0.0914845 | − | 0.995807i | \(-0.470839\pi\) | ||||
0.0914845 | + | 0.995807i | \(0.470839\pi\) | |||||||
\(504\) | 415.098 | + | 628.679i | 0.823606 | + | 1.24738i | ||||
\(505\) | − | 131.555i | − | 0.260505i | ||||||
\(506\) | −91.4067 | + | 230.097i | −0.180646 | + | 0.454737i | ||||
\(507\) | −292.713 | − | 192.158i | −0.577343 | − | 0.379010i | ||||
\(508\) | 278.641 | + | 262.865i | 0.548507 | + | 0.517450i | ||||
\(509\) | −668.325 | − | 179.077i | −1.31302 | − | 0.351822i | −0.466659 | − | 0.884437i | \(-0.654543\pi\) |
−0.846357 | + | 0.532616i | \(0.821209\pi\) | |||||||
\(510\) | −4.94199 | − | 55.9185i | −0.00969017 | − | 0.109644i | ||||
\(511\) | 750.635 | + | 433.379i | 1.46895 | + | 0.848100i | ||||
\(512\) | 443.362 | − | 256.075i | 0.865941 | − | 0.500146i | ||||
\(513\) | 123.490 | + | 175.393i | 0.240722 | + | 0.341897i | ||||
\(514\) | −401.357 | − | 298.787i | −0.780850 | − | 0.581298i | ||||
\(515\) | −146.500 | + | 39.2546i | −0.284466 | + | 0.0762225i | ||||
\(516\) | 474.206 | + | 291.905i | 0.919004 | + | 0.565707i | ||||
\(517\) | −45.8824 | + | 171.235i | −0.0887474 | + | 0.331210i | ||||
\(518\) | 853.977 | − | 675.264i | 1.64860 | − | 1.30360i | ||||
\(519\) | 105.096 | + | 506.771i | 0.202498 | + | 0.976436i | ||||
\(520\) | 31.9099 | + | 38.0244i | 0.0613652 | + | 0.0731239i | ||||
\(521\) | − | 871.991i | − | 1.67369i | −0.547442 | − | 0.836844i | \(-0.684398\pi\) | ||
0.547442 | − | 0.836844i | \(-0.315602\pi\) | |||||||
\(522\) | −83.3849 | − | 134.660i | −0.159741 | − | 0.257970i | ||||
\(523\) | −59.7664 | + | 59.7664i | −0.114276 | + | 0.114276i | −0.761933 | − | 0.647656i | \(-0.775749\pi\) |
0.647656 | + | 0.761933i | \(0.275749\pi\) | |||||||
\(524\) | −275.986 | − | 447.405i | −0.526692 | − | 0.853826i | ||||
\(525\) | 680.320 | − | 342.406i | 1.29585 | − | 0.652202i | ||||
\(526\) | −20.6808 | + | 176.964i | −0.0393171 | + | 0.336434i | ||||
\(527\) | 72.7596 | − | 42.0078i | 0.138064 | − | 0.0797111i | ||||
\(528\) | −337.907 | + | 90.8822i | −0.639976 | + | 0.172125i | ||||
\(529\) | 120.313 | − | 208.388i | 0.227435 | − | 0.393929i | ||||
\(530\) | −100.560 | + | 135.081i | −0.189737 | + | 0.254871i | ||||
\(531\) | −76.0473 | − | 30.0596i | −0.143215 | − | 0.0566094i | ||||
\(532\) | 157.797 | − | 292.680i | 0.296611 | − | 0.550150i | ||||
\(533\) | 569.101 | − | 152.490i | 1.06773 | − | 0.286098i | ||||
\(534\) | 297.401 | + | 814.863i | 0.556931 | + | 1.52596i | ||||
\(535\) | −9.37704 | − | 16.2415i | −0.0175272 | − | 0.0303580i | ||||
\(536\) | −823.490 | − | 576.545i | −1.53636 | − | 1.07564i | ||||
\(537\) | −200.084 | − | 224.442i | −0.372596 | − | 0.417955i | ||||
\(538\) | 143.705 | − | 361.747i | 0.267109 | − | 0.672392i | ||||
\(539\) | −311.757 | + | 311.757i | −0.578399 | + | 0.578399i | ||||
\(540\) | 34.4442 | + | 86.0410i | 0.0637855 | + | 0.159335i | ||||
\(541\) | −199.007 | + | 199.007i | −0.367851 | + | 0.367851i | −0.866693 | − | 0.498842i | \(-0.833759\pi\) |
0.498842 | + | 0.866693i | \(0.333759\pi\) | |||||||
\(542\) | 264.739 | + | 613.702i | 0.488448 | + | 1.13229i | ||||
\(543\) | 12.2513 | + | 13.7428i | 0.0225623 | + | 0.0253090i | ||||
\(544\) | 156.609 | + | 311.762i | 0.287885 | + | 0.573092i | ||||
\(545\) | −51.0908 | − | 88.4919i | −0.0937446 | − | 0.162370i | ||||
\(546\) | 191.480 | − | 411.578i | 0.350696 | − | 0.753806i | ||||
\(547\) | 378.909 | − | 101.528i | 0.692705 | − | 0.185610i | 0.104744 | − | 0.994499i | \(-0.466598\pi\) |
0.587961 | + | 0.808890i | \(0.299931\pi\) | |||||||
\(548\) | 259.143 | − | 77.5929i | 0.472889 | − | 0.141593i | ||||
\(549\) | −5.20097 | − | 35.0838i | −0.00947354 | − | 0.0639049i | ||||
\(550\) | 51.2775 | + | 350.023i | 0.0932318 | + | 0.636405i | ||||
\(551\) | −34.9536 | + | 60.5414i | −0.0634366 | + | 0.109875i | ||||
\(552\) | −404.758 | + | 47.6872i | −0.733258 | + | 0.0863898i | ||||
\(553\) | −621.983 | + | 359.102i | −1.12474 | + | 0.649371i | ||||
\(554\) | 212.274 | − | 167.851i | 0.383165 | − | 0.302980i | ||||
\(555\) | 119.636 | − | 60.2127i | 0.215559 | − | 0.108491i | ||||
\(556\) | −616.631 | + | 380.376i | −1.10905 | + | 0.684129i | ||||
\(557\) | −112.934 | + | 112.934i | −0.202755 | + | 0.202755i | −0.801179 | − | 0.598425i | \(-0.795794\pi\) |
0.598425 | + | 0.801179i | \(0.295794\pi\) | |||||||
\(558\) | −95.0099 | + | 101.058i | −0.170269 | + | 0.181107i | ||||
\(559\) | − | 335.533i | − | 0.600238i | ||||||
\(560\) | 95.4987 | − | 107.327i | 0.170533 | − | 0.191656i | ||||
\(561\) | −48.4184 | − | 233.471i | −0.0863073 | − | 0.416170i | ||||
\(562\) | 201.379 | + | 23.5340i | 0.358325 | + | 0.0418754i | ||||
\(563\) | 67.5119 | − | 251.958i | 0.119915 | − | 0.447528i | −0.879693 | − | 0.475542i | \(-0.842252\pi\) |
0.999608 | + | 0.0280147i | \(0.00891854\pi\) | |||||||
\(564\) | −283.889 | + | 67.5534i | −0.503350 | + | 0.119776i | ||||
\(565\) | −73.9903 | + | 19.8256i | −0.130956 | + | 0.0350896i | ||||
\(566\) | −605.576 | + | 88.7154i | −1.06992 | + | 0.156741i | ||||
\(567\) | 579.472 | − | 618.473i | 1.02200 | − | 1.09078i | ||||
\(568\) | −243.642 | + | 669.520i | −0.428948 | + | 1.17873i | ||||
\(569\) | 467.191 | + | 269.733i | 0.821073 | + | 0.474047i | 0.850786 | − | 0.525512i | \(-0.176126\pi\) |
−0.0297132 | + | 0.999558i | \(0.509459\pi\) | |||||||
\(570\) | 26.2661 | − | 31.3589i | 0.0460808 | − | 0.0550156i | ||||
\(571\) | −680.242 | − | 182.270i | −1.19132 | − | 0.319212i | −0.391910 | − | 0.920003i | \(-0.628186\pi\) |
−0.799406 | + | 0.600791i | \(0.794852\pi\) | |||||||
\(572\) | 153.368 | + | 144.684i | 0.268126 | + | 0.252945i | ||||
\(573\) | 577.081 | + | 378.838i | 1.00712 | + | 0.661149i | ||||
\(574\) | −675.404 | − | 1565.68i | −1.17666 | − | 2.72767i | ||||
\(575\) | 412.034i | 0.716581i | ||||||||
\(576\) | −396.046 | − | 418.239i | −0.687580 | − | 0.726109i | ||||
\(577\) | 488.442 | 0.846519 | 0.423260 | − | 0.906008i | \(-0.360886\pi\) | ||||
0.423260 | + | 0.906008i | \(0.360886\pi\) | |||||||
\(578\) | 312.431 | − | 134.777i | 0.540539 | − | 0.233178i | ||||
\(579\) | −339.703 | − | 674.950i | −0.586707 | − | 1.16572i | ||||
\(580\) | −20.7265 | + | 21.9704i | −0.0357353 | + | 0.0378801i | ||||
\(581\) | −19.6168 | + | 73.2108i | −0.0337638 | + | 0.126008i | ||||
\(582\) | −100.876 | + | 575.065i | −0.173326 | + | 0.988083i | ||||
\(583\) | −357.645 | + | 619.458i | −0.613455 | + | 1.06254i | ||||
\(584\) | −622.753 | − | 226.624i | −1.06636 | − | 0.388055i | ||||
\(585\) | 33.2706 | − | 44.8519i | 0.0568729 | − | 0.0766698i | ||||
\(586\) | 44.6563 | + | 304.826i | 0.0762053 | + | 0.520181i | ||||
\(587\) | −75.9368 | − | 283.400i | −0.129364 | − | 0.482794i | 0.870593 | − | 0.492003i | \(-0.163735\pi\) |
−0.999958 | + | 0.00920939i | \(0.997069\pi\) | |||||||
\(588\) | −695.454 | − | 207.522i | −1.18275 | − | 0.352929i | ||||
\(589\) | 59.1349 | + | 15.8451i | 0.100399 | + | 0.0269018i | ||||
\(590\) | −1.81005 | + | 15.4885i | −0.00306788 | + | 0.0262517i | ||||
\(591\) | −366.086 | − | 410.652i | −0.619434 | − | 0.694843i | ||||
\(592\) | −553.326 | + | 621.862i | −0.934673 | + | 1.05044i | ||||
\(593\) | −428.045 | −0.721830 | −0.360915 | − | 0.932599i | \(-0.617536\pi\) | ||||
−0.360915 | + | 0.932599i | \(0.617536\pi\) | |||||||
\(594\) | 187.733 | + | 346.007i | 0.316049 | + | 0.582503i | ||||
\(595\) | 69.2222 | + | 69.2222i | 0.116340 | + | 0.116340i | ||||
\(596\) | 251.501 | + | 407.711i | 0.421982 | + | 0.684079i | ||||
\(597\) | −614.866 | − | 35.2787i | −1.02993 | − | 0.0590933i | ||||
\(598\) | 152.319 | + | 192.632i | 0.254715 | + | 0.322127i | ||||
\(599\) | −310.190 | − | 537.265i | −0.517846 | − | 0.896936i | −0.999785 | − | 0.0207311i | \(-0.993401\pi\) |
0.481939 | − | 0.876205i | \(-0.339933\pi\) | |||||||
\(600\) | −466.777 | + | 348.171i | −0.777962 | + | 0.580285i | ||||
\(601\) | 484.136 | + | 279.516i | 0.805550 | + | 0.465085i | 0.845408 | − | 0.534121i | \(-0.179357\pi\) |
−0.0398580 | + | 0.999205i | \(0.512691\pi\) | |||||||
\(602\) | −960.818 | + | 140.758i | −1.59604 | + | 0.233817i | ||||
\(603\) | −415.723 | + | 1051.73i | −0.689424 | + | 1.74417i | ||||
\(604\) | −142.443 | − | 475.729i | −0.235833 | − | 0.787631i | ||||
\(605\) | 15.0713 | + | 56.2469i | 0.0249113 | + | 0.0929702i | ||||
\(606\) | 753.001 | − | 528.248i | 1.24258 | − | 0.871697i | ||||
\(607\) | −749.119 | + | 432.504i | −1.23413 | + | 0.712527i | −0.967889 | − | 0.251378i | \(-0.919116\pi\) |
−0.266244 | + | 0.963906i | \(0.585783\pi\) | |||||||
\(608\) | −79.9437 | + | 241.332i | −0.131486 | + | 0.396928i | ||||
\(609\) | 262.263 | + | 86.6529i | 0.430645 | + | 0.142287i | ||||
\(610\) | −6.21033 | + | 2.67901i | −0.0101809 | + | 0.00439182i | ||||
\(611\) | 124.335 | + | 124.335i | 0.203494 | + | 0.203494i | ||||
\(612\) | 300.225 | − | 252.823i | 0.490563 | − | 0.413110i | ||||
\(613\) | 180.243 | + | 180.243i | 0.294034 | + | 0.294034i | 0.838671 | − | 0.544638i | \(-0.183333\pi\) |
−0.544638 | + | 0.838671i | \(0.683333\pi\) | |||||||
\(614\) | 259.851 | + | 103.226i | 0.423210 | + | 0.168121i | ||||
\(615\) | −42.5969 | − | 205.401i | −0.0692633 | − | 0.333985i | ||||
\(616\) | 349.973 | − | 499.874i | 0.568139 | − | 0.811483i | ||||
\(617\) | −395.767 | + | 228.496i | −0.641437 | + | 0.370334i | −0.785168 | − | 0.619283i | \(-0.787423\pi\) |
0.143731 | + | 0.989617i | \(0.454090\pi\) | |||||||
\(618\) | −812.947 | − | 680.921i | −1.31545 | − | 1.10181i | ||||
\(619\) | −76.2441 | − | 284.547i | −0.123173 | − | 0.459688i | 0.876595 | − | 0.481229i | \(-0.159809\pi\) |
−0.999768 | + | 0.0215411i | \(0.993143\pi\) | |||||||
\(620\) | 23.2828 | + | 12.5528i | 0.0375529 | + | 0.0202465i | ||||
\(621\) | 157.934 | + | 430.443i | 0.254321 | + | 0.693145i | ||||
\(622\) | −829.497 | − | 617.513i | −1.33360 | − | 0.992787i | ||||
\(623\) | −1310.04 | − | 756.353i | −2.10279 | − | 1.21405i | ||||
\(624\) | −89.5143 | + | 335.331i | −0.143452 | + | 0.537390i | ||||
\(625\) | 285.156 | + | 493.904i | 0.456249 | + | 0.790247i | ||||
\(626\) | −161.972 | − | 18.9288i | −0.258742 | − | 0.0302376i | ||||
\(627\) | 95.3502 | − | 145.246i | 0.152074 | − | 0.231653i | ||||
\(628\) | 1044.32 | − | 644.201i | 1.66293 | − | 1.02580i | ||||
\(629\) | −401.078 | − | 401.078i | −0.637644 | − | 0.637644i | ||||
\(630\) | −142.393 | − | 76.4568i | −0.226021 | − | 0.121360i | ||||
\(631\) | −660.355 | −1.04652 | −0.523261 | − | 0.852173i | \(-0.675285\pi\) | ||||
−0.523261 | + | 0.852173i | \(0.675285\pi\) | |||||||
\(632\) | 420.634 | − | 352.994i | 0.665561 | − | 0.558536i | ||||
\(633\) | −94.0164 | + | 284.549i | −0.148525 | + | 0.449524i | ||||
\(634\) | −287.803 | − | 363.972i | −0.453948 | − | 0.574089i | ||||
\(635\) | −79.3808 | − | 21.2700i | −0.125009 | − | 0.0334961i | ||||
\(636\) | −1176.98 | − | 33.1844i | −1.85059 | − | 0.0521767i | ||||
\(637\) | 113.184 | + | 422.409i | 0.177683 | + | 0.663123i | ||||
\(638\) | −76.6086 | + | 102.907i | −0.120076 | + | 0.161297i | ||||
\(639\) | 796.272 | + | 91.6761i | 1.24612 | + | 0.143468i | ||||
\(640\) | −57.6523 | + | 93.4960i | −0.0900816 | + | 0.146088i | ||||
\(641\) | −4.38899 | + | 7.60195i | −0.00684710 | + | 0.0118595i | −0.869429 | − | 0.494059i | \(-0.835513\pi\) |
0.862582 | + | 0.505918i | \(0.168846\pi\) | |||||||
\(642\) | 55.3112 | − | 118.889i | 0.0861545 | − | 0.185186i | ||||
\(643\) | 121.236 | − | 452.459i | 0.188547 | − | 0.703668i | −0.805296 | − | 0.592873i | \(-0.797994\pi\) |
0.993843 | − | 0.110795i | \(-0.0353397\pi\) | |||||||
\(644\) | 487.713 | − | 516.985i | 0.757319 | − | 0.802771i | ||||
\(645\) | −119.267 | − | 6.84312i | −0.184911 | − | 0.0106095i | ||||
\(646\) | −160.998 | − | 63.9569i | −0.249223 | − | 0.0990046i | ||||
\(647\) | −651.741 | −1.00733 | −0.503664 | − | 0.863900i | \(-0.668015\pi\) | ||||
−0.503664 | + | 0.863900i | \(0.668015\pi\) | |||||||
\(648\) | −354.178 | + | 542.644i | −0.546570 | + | 0.837413i | ||||
\(649\) | 66.2351i | 0.102057i | ||||||||
\(650\) | 326.097 | + | 129.543i | 0.501687 | + | 0.199297i | ||||
\(651\) | 13.8558 | − | 241.490i | 0.0212839 | − | 0.370953i | ||||
\(652\) | 986.457 | − | 28.7400i | 1.51297 | − | 0.0440798i | ||||
\(653\) | 553.971 | + | 148.436i | 0.848347 | + | 0.227314i | 0.656702 | − | 0.754150i | \(-0.271951\pi\) |
0.191645 | + | 0.981464i | \(0.438618\pi\) | |||||||
\(654\) | 301.363 | − | 647.768i | 0.460800 | − | 0.990471i | ||||
\(655\) | 97.6677 | + | 56.3885i | 0.149111 | + | 0.0860893i | ||||
\(656\) | 716.490 | + | 1089.19i | 1.09221 | + | 1.66035i | ||||
\(657\) | −85.2724 | + | 740.652i | −0.129791 | + | 1.12732i | ||||
\(658\) | 303.881 | − | 408.199i | 0.461825 | − | 0.620363i | ||||
\(659\) | −682.574 | + | 182.895i | −1.03577 | + | 0.277534i | −0.736360 | − | 0.676589i | \(-0.763457\pi\) |
−0.299412 | + | 0.954124i | \(0.596791\pi\) | |||||||
\(660\) | 54.5569 | − | 51.5649i | 0.0826620 | − | 0.0781286i | ||||
\(661\) | 81.1067 | − | 302.694i | 0.122703 | − | 0.457934i | −0.877044 | − | 0.480409i | \(-0.840488\pi\) |
0.999747 | + | 0.0224754i | \(0.00715474\pi\) | |||||||
\(662\) | 573.736 | + | 725.579i | 0.866670 | + | 1.09604i | ||||
\(663\) | −224.563 | − | 74.1966i | −0.338707 | − | 0.111910i | ||||
\(664\) | 5.04744 | − | 57.7299i | 0.00760157 | − | 0.0869427i | ||||
\(665\) | 71.3346i | 0.107270i | ||||||||
\(666\) | 825.035 | + | 442.996i | 1.23879 | + | 0.665159i | ||||
\(667\) | −105.660 | + | 105.660i | −0.158411 | + | 0.158411i | ||||
\(668\) | −836.518 | − | 198.225i | −1.25227 | − | 0.296744i | ||||
\(669\) | 31.4140 | + | 20.6225i | 0.0469567 | + | 0.0308258i | ||||
\(670\) | 214.205 | + | 25.0329i | 0.319709 | + | 0.0373626i | ||||
\(671\) | −24.8792 | + | 14.3640i | −0.0370778 | + | 0.0214069i | ||||
\(672\) | 997.792 | + | 115.656i | 1.48481 | + | 0.172108i | ||||
\(673\) | −497.699 | + | 862.039i | −0.739522 | + | 1.28089i | 0.213188 | + | 0.977011i | \(0.431615\pi\) |
−0.952711 | + | 0.303879i | \(0.901718\pi\) | |||||||
\(674\) | 656.717 | + | 488.888i | 0.974357 | + | 0.725354i | ||||
\(675\) | 502.939 | + | 419.799i | 0.745095 | + | 0.621924i | ||||
\(676\) | −447.250 | + | 133.916i | −0.661612 | + | 0.198101i | ||||
\(677\) | −963.267 | + | 258.107i | −1.42285 | + | 0.381250i | −0.886493 | − | 0.462743i | \(-0.846865\pi\) |
−0.536354 | + | 0.843993i | \(0.680199\pi\) | |||||||
\(678\) | −410.581 | − | 343.901i | −0.605576 | − | 0.507228i | ||||
\(679\) | −509.077 | − | 881.747i | −0.749745 | − | 1.29860i | ||||
\(680\) | −61.3148 | − | 42.9279i | −0.0901688 | − | 0.0631293i | ||||
\(681\) | 649.927 | − | 134.785i | 0.954372 | − | 0.197922i | ||||
\(682\) | 104.414 | + | 41.4787i | 0.153100 | + | 0.0608193i | ||||
\(683\) | 78.7837 | − | 78.7837i | 0.115350 | − | 0.115350i | −0.647076 | − | 0.762426i | \(-0.724008\pi\) |
0.762426 | + | 0.647076i | \(0.224008\pi\) | |||||||
\(684\) | 284.963 | + | 24.4240i | 0.416612 | + | 0.0357076i | ||||
\(685\) | −41.0362 | + | 41.0362i | −0.0599069 | + | 0.0599069i | ||||
\(686\) | 220.581 | − | 95.1544i | 0.321547 | − | 0.138709i | ||||
\(687\) | 34.8707 | − | 105.539i | 0.0507580 | − | 0.153623i | ||||
\(688\) | 704.761 | − | 233.591i | 1.02436 | − | 0.339522i | ||||
\(689\) | 354.740 | + | 614.427i | 0.514862 | + | 0.891766i | ||||
\(690\) | 71.5787 | − | 50.2142i | 0.103737 | − | 0.0727742i | ||||
\(691\) | −808.428 | + | 216.618i | −1.16994 | + | 0.313484i | −0.790929 | − | 0.611908i | \(-0.790402\pi\) |
−0.379010 | + | 0.925392i | \(0.623736\pi\) | |||||||
\(692\) | 607.414 | + | 327.485i | 0.877766 | + | 0.473245i | ||||
\(693\) | −638.421 | − | 252.352i | −0.921242 | − | 0.364144i | ||||
\(694\) | −213.068 | + | 31.2139i | −0.307014 | + | 0.0449769i | ||||
\(695\) | 77.7168 | − | 134.610i | 0.111823 | − | 0.193683i | ||||
\(696\) | −208.981 | − | 30.4147i | −0.300260 | − | 0.0436993i | ||||
\(697\) | −769.362 | + | 444.191i | −1.10382 | + | 0.637290i | ||||
\(698\) | 375.480 | + | 474.854i | 0.537938 | + | 0.680307i | ||||
\(699\) | 0.687050 | − | 11.9745i | 0.000982905 | − | 0.0171309i | ||||
\(700\) | 234.154 | − | 988.140i | 0.334506 | − | 1.41163i | ||||
\(701\) | 899.718 | − | 899.718i | 1.28348 | − | 1.28348i | 0.344802 | − | 0.938676i | \(-0.387946\pi\) |
0.938676 | − | 0.344802i | \(-0.112054\pi\) | |||||||
\(702\) | 390.321 | + | 10.3371i | 0.556012 | + | 0.0147252i | ||||
\(703\) | − | 413.318i | − | 0.587935i | ||||||
\(704\) | −197.127 | + | 422.864i | −0.280009 | + | 0.600659i | ||||
\(705\) | 46.7314 | − | 41.6599i | 0.0662857 | − | 0.0590920i | ||||
\(706\) | 44.9129 | − | 384.317i | 0.0636160 | − | 0.544359i | ||||
\(707\) | −415.156 | + | 1549.38i | −0.587208 | + | 2.19149i | ||||
\(708\) | −95.9219 | + | 51.8323i | −0.135483 | + | 0.0732095i | ||||
\(709\) | −547.046 | + | 146.580i | −0.771574 | + | 0.206743i | −0.623067 | − | 0.782169i | \(-0.714113\pi\) |
−0.148507 | + | 0.988911i | \(0.547447\pi\) | |||||||
\(710\) | −22.1558 | − | 151.236i | −0.0312053 | − | 0.213009i | ||||
\(711\) | −496.161 | − | 368.047i | −0.697836 | − | 0.517647i | ||||
\(712\) | 1086.86 | + | 395.514i | 1.52648 | + | 0.555497i | ||||
\(713\) | 113.327 | + | 65.4294i | 0.158944 | + | 0.0917664i | ||||
\(714\) | −118.261 | + | 674.173i | −0.165632 | + | 0.944220i | ||||
\(715\) | −43.6923 | − | 11.7073i | −0.0611081 | − | 0.0163739i | ||||
\(716\) | −400.735 | + | 11.6753i | −0.559686 | + | 0.0163062i | ||||
\(717\) | −44.2849 | + | 22.2887i | −0.0617642 | + | 0.0310860i | ||||
\(718\) | −79.3797 | + | 34.2428i | −0.110557 | + | 0.0476920i | ||||
\(719\) | − | 922.935i | − | 1.28364i | −0.766856 | − | 0.641819i | \(-0.778180\pi\) | ||
0.766856 | − | 0.641819i | \(-0.221820\pi\) | |||||||
\(720\) | 117.370 | + | 38.6574i | 0.163014 | + | 0.0536909i | ||||
\(721\) | 1849.28 | 2.56488 | ||||||||
\(722\) | 235.981 | + | 547.037i | 0.326843 | + | 0.757668i | ||||
\(723\) | 77.9567 | − | 118.751i | 0.107824 | − | 0.164247i | ||||
\(724\) | 24.5374 | − | 0.714887i | 0.0338914 | − | 0.000987413i | ||||
\(725\) | −55.2584 | + | 206.227i | −0.0762185 | + | 0.284451i | ||||
\(726\) | −261.431 | + | 312.121i | −0.360098 | + | 0.429919i | ||||
\(727\) | 418.934 | − | 725.615i | 0.576250 | − | 0.998095i | −0.419654 | − | 0.907684i | \(-0.637849\pi\) |
0.995905 | − | 0.0904109i | \(-0.0288180\pi\) | |||||||
\(728\) | −255.822 | − | 548.531i | −0.351404 | − | 0.753477i | ||||
\(729\) | 686.320 | + | 245.777i | 0.941453 | + | 0.337143i | ||||
\(730\) | 140.672 | − | 20.6082i | 0.192702 | − | 0.0282304i | ||||
\(731\) | 130.944 | + | 488.690i | 0.179130 | + | 0.668523i | ||||
\(732\) | −40.2713 | − | 24.7896i | −0.0550155 | − | 0.0338656i | ||||
\(733\) | 327.066 | + | 87.6370i | 0.446201 | + | 0.119559i | 0.474921 | − | 0.880028i | \(-0.342476\pi\) |
−0.0287201 | + | 0.999587i | \(0.509143\pi\) | |||||||
\(734\) | −721.244 | − | 84.2877i | −0.982622 | − | 0.114833i | ||||
\(735\) | 152.456 | − | 31.6171i | 0.207424 | − | 0.0430165i | ||||
\(736\) | −298.566 | + | 454.041i | −0.405661 | + | 0.616903i | ||||
\(737\) | 916.028 | 1.24291 | ||||||||
\(738\) | 1004.64 | − | 1068.59i | 1.36130 | − | 1.44795i | ||||
\(739\) | 314.546 | + | 314.546i | 0.425638 | + | 0.425638i | 0.887139 | − | 0.461502i | \(-0.152689\pi\) |
−0.461502 | + | 0.887139i | \(0.652689\pi\) | |||||||
\(740\) | 41.1765 | − | 173.766i | 0.0556439 | − | 0.234819i | ||||
\(741\) | −77.4773 | − | 153.938i | −0.104558 | − | 0.207744i | ||||
\(742\) | 1610.63 | − | 1273.57i | 2.17066 | − | 1.71640i | ||||
\(743\) | 124.479 | + | 215.603i | 0.167535 | + | 0.290179i | 0.937553 | − | 0.347843i | \(-0.113086\pi\) |
−0.770018 | + | 0.638023i | \(0.779753\pi\) | |||||||
\(744\) | 21.6396 | + | 183.672i | 0.0290854 | + | 0.246871i | ||||
\(745\) | −89.0027 | − | 51.3857i | −0.119467 | − | 0.0689741i | ||||
\(746\) | −76.5038 | − | 522.219i | −0.102552 | − | 0.700025i | ||||
\(747\) | −64.4892 | + | 9.56016i | −0.0863309 | + | 0.0127981i | ||||
\(748\) | −279.838 | − | 150.874i | −0.374116 | − | 0.201703i | ||||
\(749\) | 59.1834 | + | 220.875i | 0.0790166 | + | 0.294894i | ||||
\(750\) | 106.994 | − | 229.980i | 0.142659 | − | 0.306640i | ||||
\(751\) | −231.042 | + | 133.392i | −0.307645 | + | 0.177619i | −0.645872 | − | 0.763445i | \(-0.723506\pi\) |
0.338227 | + | 0.941065i | \(0.390173\pi\) | |||||||
\(752\) | −174.596 | + | 347.715i | −0.232176 | + | 0.462387i | ||||
\(753\) | 458.447 | − | 408.694i | 0.608827 | − | 0.542754i | ||||
\(754\) | 50.4033 | + | 116.842i | 0.0668478 | + | 0.154963i | ||||
\(755\) | 75.3334 | + | 75.3334i | 0.0997793 | + | 0.0997793i | ||||
\(756\) | −134.140 | − | 1122.04i | −0.177434 | − | 1.48418i | ||||
\(757\) | −680.254 | − | 680.254i | −0.898619 | − | 0.898619i | 0.0966952 | − | 0.995314i | \(-0.469173\pi\) |
−0.995314 | + | 0.0966952i | \(0.969173\pi\) | |||||||
\(758\) | 33.2662 | − | 83.7407i | 0.0438869 | − | 0.110476i | ||||
\(759\) | 277.218 | − | 247.133i | 0.365242 | − | 0.325603i | ||||
\(760\) | −9.47398 | − | 53.7119i | −0.0124658 | − | 0.0706736i | ||||
\(761\) | −563.633 | + | 325.414i | −0.740648 | + | 0.427613i | −0.822305 | − | 0.569047i | \(-0.807312\pi\) |
0.0816571 | + | 0.996660i | \(0.473979\pi\) | |||||||
\(762\) | −197.001 | − | 539.771i | −0.258531 | − | 0.708362i | ||||
\(763\) | 322.461 | + | 1203.44i | 0.422622 | + | 1.57725i | ||||
\(764\) | 881.749 | − | 264.014i | 1.15412 | − | 0.345568i | ||||
\(765\) | −30.9536 | + | 78.3090i | −0.0404622 | + | 0.102365i | ||||
\(766\) | −269.746 | + | 362.345i | −0.352148 | + | 0.473036i | ||||
\(767\) | 56.8953 | + | 32.8485i | 0.0741791 | + | 0.0428273i | ||||
\(768\) | −766.655 | + | 45.4329i | −0.998249 | + | 0.0591574i | ||||
\(769\) | −487.695 | − | 844.713i | −0.634194 | − | 1.09846i | −0.986685 | − | 0.162642i | \(-0.947999\pi\) |
0.352491 | − | 0.935815i | \(-0.385335\pi\) | |||||||
\(770\) | −15.1955 | + | 130.027i | −0.0197344 | + | 0.168866i | ||||
\(771\) | 337.422 | + | 670.417i | 0.437642 | + | 0.869542i | ||||
\(772\) | −980.339 | − | 232.306i | −1.26987 | − | 0.300914i | ||||
\(773\) | 476.130 | + | 476.130i | 0.615951 | + | 0.615951i | 0.944490 | − | 0.328539i | \(-0.106556\pi\) |
−0.328539 | + | 0.944490i | \(0.606556\pi\) | |||||||
\(774\) | −439.740 | − | 710.147i | −0.568139 | − | 0.917502i | ||||
\(775\) | 186.974 | 0.241256 | ||||||||
\(776\) | 500.418 | + | 596.307i | 0.644869 | + | 0.768437i | ||||
\(777\) | −1599.02 | + | 331.612i | −2.05794 | + | 0.426785i | ||||
\(778\) | −744.626 | + | 588.797i | −0.957103 | + | 0.756808i | ||||
\(779\) | −625.294 | − | 167.547i | −0.802688 | − | 0.215080i | ||||
\(780\) | −17.2369 | − | 72.4369i | −0.0220986 | − | 0.0928679i | ||||
\(781\) | −168.034 | − | 627.111i | −0.215152 | − | 0.802959i | ||||
\(782\) | −297.023 | − | 221.116i | −0.379824 | − | 0.282758i | ||||
\(783\) | 21.3200 | + | 236.622i | 0.0272287 | + | 0.302199i | ||||
\(784\) | −808.441 | + | 531.807i | −1.03117 | + | 0.678325i | ||||
\(785\) | −131.621 | + | 227.974i | −0.167670 | + | 0.290412i | ||||
\(786\) | 69.4176 | + | 785.458i | 0.0883176 | + | 0.999311i | ||||
\(787\) | 347.832 | − | 1298.13i | 0.441972 | − | 1.64946i | −0.281837 | − | 0.959462i | \(-0.590944\pi\) |
0.723809 | − | 0.690000i | \(-0.242390\pi\) | |||||||
\(788\) | −733.209 | + | 21.3617i | −0.930468 | + | 0.0271088i | ||||
\(789\) | 146.665 | − | 223.413i | 0.185887 | − | 0.283160i | ||||
\(790\) | −43.4929 | + | 109.484i | −0.0550543 | + | 0.138588i | ||||
\(791\) | 933.982 | 1.18076 | ||||||||
\(792\) | 514.218 | + | 105.221i | 0.649266 | + | 0.132855i | ||||
\(793\) | 28.4947i | 0.0359328i | ||||||||
\(794\) | 127.629 | − | 321.278i | 0.160741 | − | 0.404632i | ||||
\(795\) | 225.637 | − | 113.563i | 0.283820 | − | 0.142847i | ||||
\(796\) | −563.498 | + | 597.318i | −0.707912 | + | 0.750399i | ||||
\(797\) | −683.590 | − | 183.168i | −0.857704 | − | 0.229821i | −0.196941 | − | 0.980415i | \(-0.563101\pi\) |
−0.660764 | + | 0.750594i | \(0.729767\pi\) | |||||||
\(798\) | −408.309 | + | 286.438i | −0.511665 | + | 0.358945i | ||||
\(799\) | −229.611 | − | 132.566i | −0.287373 | − | 0.165915i | ||||
\(800\) | −45.0730 | + | 775.126i | −0.0563412 | + | 0.968907i | ||||
\(801\) | 148.821 | − | 1292.62i | 0.185794 | − | 1.61376i | ||||
\(802\) | 347.506 | + | 258.699i | 0.433300 | + | 0.322567i | ||||
\(803\) | 583.307 | − | 156.297i | 0.726409 | − | 0.194641i | ||||
\(804\) | 716.839 | + | 1326.60i | 0.891591 | + | 1.65000i | ||||
\(805\) | −39.4639 | + | 147.281i | −0.0490235 | + | 0.182958i | ||||
\(806\) | 87.4128 | − | 69.1197i | 0.108453 | − | 0.0857565i | ||||
\(807\) | −435.828 | + | 388.530i | −0.540060 | + | 0.481449i | ||||
\(808\) | 106.821 | − | 1221.76i | 0.132204 | − | 1.51208i | ||||
\(809\) | 1299.74i | 1.60661i | 0.595571 | + | 0.803303i | \(0.296926\pi\) | ||||
−0.595571 | + | 0.803303i | \(0.703074\pi\) | |||||||
\(810\) | 11.6349 | − | 138.531i | 0.0143641 | − | 0.171026i | ||||
\(811\) | 305.471 | − | 305.471i | 0.376659 | − | 0.376659i | −0.493236 | − | 0.869895i | \(-0.664186\pi\) |
0.869895 | + | 0.493236i | \(0.164186\pi\) | |||||||
\(812\) | 313.439 | − | 193.348i | 0.386008 | − | 0.238114i | ||||
\(813\) | 57.4283 | − | 1000.91i | 0.0706375 | − | 1.23113i | ||||
\(814\) | 88.0436 | − | 753.383i | 0.108162 | − | 0.925532i | ||||
\(815\) | −183.355 | + | 105.860i | −0.224975 | + | 0.129889i | ||||
\(816\) | −0.491544 | − | 523.330i | −0.000602383 | − | 0.641336i | ||||
\(817\) | −184.332 | + | 319.272i | −0.225620 | + | 0.390786i | ||||
\(818\) | 645.166 | − | 866.642i | 0.788711 | − | 1.05946i | ||||
\(819\) | −533.385 | + | 423.247i | −0.651264 | + | 0.516785i | ||||
\(820\) | −246.193 | − | 132.734i | −0.300235 | − | 0.161871i | ||||
\(821\) | 819.783 | − | 219.660i | 0.998518 | − | 0.267552i | 0.277693 | − | 0.960670i | \(-0.410430\pi\) |
0.720824 | + | 0.693118i | \(0.243763\pi\) | |||||||
\(822\) | −399.663 | − | 70.1076i | −0.486208 | − | 0.0852890i | ||||
\(823\) | 554.720 | + | 960.804i | 0.674022 | + | 1.16744i | 0.976754 | + | 0.214365i | \(0.0687681\pi\) |
−0.302731 | + | 0.953076i | \(0.597899\pi\) | |||||||
\(824\) | −1392.43 | + | 245.603i | −1.68984 | + | 0.298062i | ||||
\(825\) | 166.474 | − | 503.848i | 0.201787 | − | 0.610725i | ||||
\(826\) | 70.1958 | − | 176.703i | 0.0849828 | − | 0.213926i | ||||
\(827\) | −980.630 | + | 980.630i | −1.18577 | + | 1.18577i | −0.207542 | + | 0.978226i | \(0.566546\pi\) |
−0.978226 | + | 0.207542i | \(0.933454\pi\) | |||||||
\(828\) | 574.837 | + | 208.075i | 0.694247 | + | 0.251298i | ||||
\(829\) | 11.8666 | − | 11.8666i | 0.0143143 | − | 0.0143143i | −0.699913 | − | 0.714228i | \(-0.746778\pi\) |
0.714228 | + | 0.699913i | \(0.246778\pi\) | |||||||
\(830\) | 4.92442 | + | 11.4155i | 0.00593304 | + | 0.0137536i | ||||
\(831\) | −397.469 | + | 82.4290i | −0.478302 | + | 0.0991925i | ||||
\(832\) | 265.474 | + | 379.045i | 0.319079 | + | 0.455582i | ||||
\(833\) | −329.696 | − | 571.051i | −0.395794 | − | 0.685535i | ||||
\(834\) | 1082.55 | − | 95.6741i | 1.29802 | − | 0.114717i | ||||
\(835\) | 178.148 | − | 47.7346i | 0.213351 | − | 0.0571672i | ||||
\(836\) | −66.4500 | − | 221.928i | −0.0794857 | − | 0.265464i | ||||
\(837\) | 195.327 | − | 71.6674i | 0.233366 | − | 0.0856241i | ||||
\(838\) | 132.721 | + | 905.959i | 0.158378 | + | 1.08110i | ||||
\(839\) | −636.130 | + | 1101.81i | −0.758200 | + | 1.31324i | 0.185568 | + | 0.982631i | \(0.440588\pi\) |
−0.943768 | + | 0.330609i | \(0.892746\pi\) | |||||||
\(840\) | −200.196 | + | 79.7463i | −0.238329 | + | 0.0949361i | ||||
\(841\) | 661.273 | − | 381.786i | 0.786294 | − | 0.453967i | ||||
\(842\) | 397.906 | − | 314.635i | 0.472572 | − | 0.373676i | ||||
\(843\) | −254.236 | − | 166.899i | −0.301585 | − | 0.197982i | ||||
\(844\) | 209.778 | + | 340.074i | 0.248552 | + | 0.402931i | ||||
\(845\) | 70.8236 | − | 70.8236i | 0.0838149 | − | 0.0838149i | ||||
\(846\) | 426.101 | + | 100.202i | 0.503665 | + | 0.118442i | ||||
\(847\) | − | 710.008i | − | 0.838262i | ||||||
\(848\) | −1043.59 | + | 1172.85i | −1.23065 | + | 1.38308i | ||||
\(849\) | 871.710 | + | 288.018i | 1.02675 | + | 0.339243i | ||||
\(850\) | −525.502 | − | 61.4123i | −0.618237 | − | 0.0722498i | ||||
\(851\) | 228.657 | − | 853.358i | 0.268692 | − | 1.00277i | ||||
\(852\) | 776.690 | − | 734.094i | 0.911608 | − | 0.861612i | ||||
\(853\) | −553.040 | + | 148.187i | −0.648347 | + | 0.173724i | −0.567981 | − | 0.823042i | \(-0.692275\pi\) |
−0.0803654 | + | 0.996765i | \(0.525609\pi\) | |||||||
\(854\) | 81.5962 | − | 11.9536i | 0.0955459 | − | 0.0139972i | ||||
\(855\) | −56.2985 | + | 24.4003i | −0.0658462 | + | 0.0285383i | ||||
\(856\) | −73.8971 | − | 158.450i | −0.0863284 | − | 0.185105i | ||||
\(857\) | −221.044 | − | 127.620i | −0.257927 | − | 0.148914i | 0.365461 | − | 0.930826i | \(-0.380911\pi\) |
−0.623389 | + | 0.781912i | \(0.714245\pi\) | |||||||
\(858\) | −108.432 | − | 297.098i | −0.126378 | − | 0.346268i | ||||
\(859\) | 73.9507 | + | 19.8150i | 0.0860893 | + | 0.0230675i | 0.301607 | − | 0.953432i | \(-0.402477\pi\) |
−0.215517 | + | 0.976500i | \(0.569144\pi\) | |||||||
\(860\) | −109.304 | + | 115.864i | −0.127097 | + | 0.134725i | ||||
\(861\) | −146.512 | + | 2553.52i | −0.170165 | + | 2.96577i | ||||
\(862\) | −151.916 | − | 352.163i | −0.176237 | − | 0.408541i | ||||
\(863\) | − | 1139.78i | − | 1.32072i | −0.750949 | − | 0.660360i | \(-0.770404\pi\) | ||
0.750949 | − | 0.660360i | \(-0.229596\pi\) | |||||||
\(864\) | 250.021 | + | 827.034i | 0.289376 | + | 0.957216i | ||||
\(865\) | −148.045 | −0.171150 | ||||||||
\(866\) | 1232.90 | − | 531.848i | 1.42367 | − | 0.614143i | ||||
\(867\) | −509.555 | − | 29.2363i | −0.587722 | − | 0.0337213i | ||||
\(868\) | −234.598 | − | 221.315i | −0.270275 | − | 0.254972i | ||||
\(869\) | −129.509 | + | 483.334i | −0.149032 | + | 0.556195i | ||||
\(870\) | 42.5602 | − | 15.5332i | 0.0489197 | − | 0.0178543i | ||||
\(871\) | 454.294 | − | 786.860i | 0.521577 | − | 0.903399i | ||||
\(872\) | −402.629 | − | 863.313i | −0.461730 | − | 0.990038i | ||||
\(873\) | 521.757 | − | 703.376i | 0.597660 | − | 0.805700i | ||||
\(874\) | −39.1113 | − | 266.976i | −0.0447498 | − | 0.305464i | ||||
\(875\) | 114.485 | + | 427.263i | 0.130840 | + | 0.488301i | ||||
\(876\) | 682.817 | + | 722.437i | 0.779471 | + | 0.824700i | ||||
\(877\) | −547.754 | − | 146.770i | −0.624577 | − | 0.167355i | −0.0673695 | − | 0.997728i | \(-0.521461\pi\) |
−0.557208 | + | 0.830373i | \(0.688127\pi\) | |||||||
\(878\) | −147.032 | + | 1258.15i | −0.167463 | + | 1.43297i | ||||
\(879\) | 144.978 | − | 438.789i | 0.164935 | − | 0.499191i | ||||
\(880\) | −5.82735 | − | 99.9226i | −0.00662199 | − | 0.113548i | ||||
\(881\) | −80.3510 | −0.0912043 | −0.0456022 | − | 0.998960i | \(-0.514521\pi\) | ||||
−0.0456022 | + | 0.998960i | \(0.514521\pi\) | |||||||
\(882\) | 793.148 | + | 745.682i | 0.899261 | + | 0.845444i | ||||
\(883\) | −249.733 | − | 249.733i | −0.282823 | − | 0.282823i | 0.551411 | − | 0.834234i | \(-0.314090\pi\) |
−0.834234 | + | 0.551411i | \(0.814090\pi\) | |||||||
\(884\) | −268.382 | + | 165.554i | −0.303600 | + | 0.187279i | ||||
\(885\) | 12.8366 | − | 19.5539i | 0.0145046 | − | 0.0220948i | ||||
\(886\) | 742.487 | + | 938.992i | 0.838022 | + | 1.05981i | ||||
\(887\) | −3.22889 | − | 5.59260i | −0.00364023 | − | 0.00630507i | 0.864200 | − | 0.503149i | \(-0.167825\pi\) |
−0.867840 | + | 0.496844i | \(0.834492\pi\) | |||||||
\(888\) | 1159.95 | − | 462.056i | 1.30625 | − | 0.520333i | ||||
\(889\) | 867.781 | + | 501.013i | 0.976131 | + | 0.563570i | ||||
\(890\) | −245.508 | + | 35.9663i | −0.275852 | + | 0.0404116i | ||||
\(891\) | −19.2142 | − | 590.170i | −0.0215648 | − | 0.662368i | ||||
\(892\) | 47.9989 | − | 14.3719i | 0.0538105 | − | 0.0161120i | ||||
\(893\) | −50.0033 | − | 186.615i | −0.0559948 | − | 0.208975i | ||||
\(894\) | −63.2589 | − | 715.773i | −0.0707594 | − | 0.800641i | ||||
\(895\) | 74.4855 | − | 43.0042i | 0.0832240 | − | 0.0480494i | ||||
\(896\) | 974.048 | − | 919.209i | 1.08711 | − | 1.02590i | ||||
\(897\) | −74.8018 | − | 360.691i | −0.0833910 | − | 0.402108i | ||||
\(898\) | −690.383 | + | 297.818i | −0.768801 | + | 0.331646i | ||||
\(899\) | 47.9465 | + | 47.9465i | 0.0533332 | + | 0.0533332i | ||||
\(900\) | 859.950 | − | 153.199i | 0.955500 | − | 0.170221i | ||||
\(901\) | −756.448 | − | 756.448i | −0.839565 | − | 0.839565i | ||||
\(902\) | −1104.08 | − | 438.597i | −1.22403 | − | 0.486250i | ||||
\(903\) | 1383.07 | + | 456.974i | 1.53164 | + | 0.506062i | ||||
\(904\) | −703.249 | + | 124.043i | −0.777930 | + | 0.137215i | ||||
\(905\) | −4.56081 | + | 2.63319i | −0.00503957 | + | 0.00290960i | ||||
\(906\) | −128.702 | + | 733.692i | −0.142055 | + | 0.809815i | ||||
\(907\) | 281.964 | + | 1052.31i | 0.310876 | + | 1.16020i | 0.927768 | + | 0.373157i | \(0.121725\pi\) |
−0.616892 | + | 0.787048i | \(0.711609\pi\) | |||||||
\(908\) | 419.996 | − | 779.001i | 0.462551 | − | 0.857931i | ||||
\(909\) | −1364.80 | + | 202.325i | −1.50144 | + | 0.222579i | ||||
\(910\) | 104.156 | + | 77.5380i | 0.114457 | + | 0.0852066i | ||||
\(911\) | 1285.69 | + | 742.296i | 1.41130 | + | 0.814815i | 0.995511 | − | 0.0946462i | \(-0.0301720\pi\) |
0.415789 | + | 0.909461i | \(0.363505\pi\) | |||||||
\(912\) | 269.397 | − | 269.904i | 0.295391 | − | 0.295947i | ||||
\(913\) | 26.4032 | + | 45.7317i | 0.0289192 | + | 0.0500895i | ||||
\(914\) | −342.328 | − | 40.0059i | −0.374539 | − | 0.0437702i | ||||
\(915\) | 10.1286 | + | 0.581143i | 0.0110695 | + | 0.000635129i | ||||
\(916\) | −77.8069 | − | 126.134i | −0.0849420 | − | 0.137700i | ||||
\(917\) | −972.329 | − | 972.329i | −1.06034 | − | 1.06034i | ||||
\(918\) | −572.520 | + | 137.270i | −0.623660 | + | 0.149531i | ||||
\(919\) | 810.953 | 0.882430 | 0.441215 | − | 0.897401i | \(-0.354548\pi\) | ||||
0.441215 | + | 0.897401i | \(0.354548\pi\) | |||||||
\(920\) | 10.1541 | − | 116.138i | 0.0110371 | − | 0.126237i | ||||
\(921\) | −279.090 | − | 313.065i | −0.303029 | − | 0.339919i | ||||
\(922\) | 143.675 | + | 181.700i | 0.155830 | + | 0.197071i | ||||
\(923\) | −622.017 | − | 166.669i | −0.673908 | − | 0.180573i | ||||
\(924\) | −805.268 | + | 435.135i | −0.871503 | + | 0.470925i | ||||
\(925\) | −326.709 | − | 1219.29i | −0.353199 | − | 1.31816i | ||||
\(926\) | −401.686 | + | 539.579i | −0.433786 | + | 0.582699i | ||||
\(927\) | 632.553 | + | 1459.48i | 0.682365 | + | 1.57441i | ||||
\(928\) | −210.327 | + | 187.211i | −0.226646 | + | 0.201736i | ||||
\(929\) | −358.218 | + | 620.451i | −0.385595 | + | 0.667870i | −0.991852 | − | 0.127399i | \(-0.959337\pi\) |
0.606257 | + | 0.795269i | \(0.292670\pi\) | |||||||
\(930\) | −22.7863 | − | 32.4811i | −0.0245014 | − | 0.0349259i | ||||
\(931\) | 124.360 | − | 464.118i | 0.133577 | − | 0.498515i | ||||
\(932\) | −11.6327 | − | 10.9741i | −0.0124815 | − | 0.0117748i | ||||
\(933\) | 697.361 | + | 1385.57i | 0.747439 | + | 1.48507i | ||||
\(934\) | 604.835 | + | 240.273i | 0.647575 | + | 0.257251i | ||||
\(935\) | 68.2049 | 0.0729464 | ||||||||
\(936\) | 345.405 | − | 389.526i | 0.369022 | − | 0.416160i | ||||
\(937\) | − | 1562.33i | − | 1.66737i | −0.552238 | − | 0.833687i | \(-0.686226\pi\) | ||
0.552238 | − | 0.833687i | \(-0.313774\pi\) | |||||||
\(938\) | −2443.80 | − | 970.805i | −2.60533 | − | 1.03497i | ||||
\(939\) | 204.486 | + | 134.240i | 0.217770 | + | 0.142960i | ||||
\(940\) | −2.43092 | − | 83.4377i | −0.00258609 | − | 0.0887635i | ||||
\(941\) | 1211.25 | + | 324.553i | 1.28719 | + | 0.344902i | 0.836593 | − | 0.547825i | \(-0.184544\pi\) |
0.450599 | + | 0.892727i | \(0.351211\pi\) | |||||||
\(942\) | −1833.40 | + | 162.033i | −1.94628 | + | 0.172009i | ||||
\(943\) | −1198.32 | − | 691.852i | −1.27076 | − | 0.733672i | ||||
\(944\) | −29.3864 | + | 142.373i | −0.0311297 | + | 0.150818i | ||||
\(945\) | 139.568 | + | 198.227i | 0.147690 | + | 0.209764i | ||||
\(946\) | −404.004 | + | 542.693i | −0.427066 | + | 0.573672i | ||||
\(947\) | 1680.70 | − | 450.341i | 1.77476 | − | 0.475545i | 0.785147 | − | 0.619309i | \(-0.212587\pi\) |
0.989612 | + | 0.143764i | \(0.0459207\pi\) | |||||||
\(948\) | −801.313 | + | 190.678i | −0.845267 | + | 0.201137i | ||||
\(949\) | 155.027 | − | 578.569i | 0.163358 | − | 0.609662i | ||||
\(950\) | −239.126 | − | 302.413i | −0.251712 | − | 0.318329i | ||||
\(951\) | 141.336 | + | 681.516i | 0.148618 | + | 0.716631i | ||||
\(952\) | 586.662 | + | 699.077i | 0.616241 | + | 0.734324i | ||||
\(953\) | 113.221i | 0.118805i | 0.998234 | + | 0.0594025i | \(0.0189195\pi\) | ||||
−0.998234 | + | 0.0594025i | \(0.981080\pi\) | |||||||
\(954\) | 1556.05 | + | 835.507i | 1.63108 | + | 0.875793i | ||||
\(955\) | −139.628 | + | 139.628i | −0.146207 | + | 0.146207i | ||||
\(956\) | −15.2421 | + | 64.3222i | −0.0159436 | + | 0.0672826i | ||||
\(957\) | 171.894 | − | 86.5145i | 0.179617 | − | 0.0904018i | ||||
\(958\) | 359.143 | + | 41.9710i | 0.374888 | + | 0.0438110i | ||||
\(959\) | 612.803 | − | 353.802i | 0.639003 | − | 0.368928i | ||||
\(960\) | 140.148 | − | 86.6337i | 0.145988 | − | 0.0902435i | ||||
\(961\) | −450.809 | + | 780.825i | −0.469104 | + | 0.812513i | ||||
\(962\) | −603.486 | − | 449.261i | −0.627324 | − | 0.467007i | ||||
\(963\) | −154.075 | + | 122.260i | −0.159994 | + | 0.126957i | ||||
\(964\) | −54.3284 | − | 181.445i | −0.0563572 | − | 0.188221i | ||||
\(965\) | 208.777 | − | 55.9416i | 0.216349 | − | 0.0579706i | ||||
\(966\) | −1001.48 | + | 365.510i | −1.03673 | + | 0.378375i | ||||
\(967\) | 755.790 | + | 1309.07i | 0.781582 | + | 1.35374i | 0.931020 | + | 0.364969i | \(0.118920\pi\) |
−0.149438 | + | 0.988771i | \(0.547746\pi\) | |||||||
\(968\) | 94.2964 | + | 534.606i | 0.0974136 | + | 0.552278i | ||||
\(969\) | 172.918 | + | 193.969i | 0.178450 | + | 0.200174i | ||||
\(970\) | −155.209 | − | 61.6572i | −0.160009 | − | 0.0635641i | ||||
\(971\) | 559.274 | − | 559.274i | 0.575978 | − | 0.575978i | −0.357815 | − | 0.933793i | \(-0.616478\pi\) |
0.933793 | + | 0.357815i | \(0.116478\pi\) | |||||||
\(972\) | 839.650 | − | 489.664i | 0.863838 | − | 0.503770i | ||||
\(973\) | −1340.10 | + | 1340.10i | −1.37729 | + | 1.37729i | ||||
\(974\) | 289.042 | − | 124.687i | 0.296757 | − | 0.128015i | ||||
\(975\) | −350.240 | − | 392.878i | −0.359221 | − | 0.402951i | ||||
\(976\) | −59.8509 | + | 19.8374i | −0.0613226 | + | 0.0203252i | ||||
\(977\) | −437.650 | − | 758.032i | −0.447953 | − | 0.775877i | 0.550300 | − | 0.834967i | \(-0.314513\pi\) |
−0.998253 | + | 0.0590902i | \(0.981180\pi\) | |||||||
\(978\) | −1342.17 | − | 624.422i | −1.37236 | − | 0.638469i | ||||
\(979\) | −1018.01 | + | 272.776i | −1.03985 | + | 0.278627i | ||||
\(980\) | 98.5204 | − | 182.734i | 0.100531 | − | 0.186463i | ||||
\(981\) | −839.476 | + | 666.133i | −0.855735 | + | 0.679034i | ||||
\(982\) | −1526.16 | + | 223.579i | −1.55414 | + | 0.227678i | ||||
\(983\) | 745.345 | − | 1290.98i | 0.758235 | − | 1.31330i | −0.185515 | − | 0.982642i | \(-0.559395\pi\) |
0.943750 | − | 0.330660i | \(-0.107271\pi\) | |||||||
\(984\) | −228.817 | − | 1942.15i | −0.232538 | − | 1.97373i | ||||
\(985\) | 136.283 | − | 78.6830i | 0.138358 | − | 0.0798812i | ||||
\(986\) | −119.009 | − | 150.505i | −0.120698 | − | 0.152642i | ||||
\(987\) | −681.846 | + | 343.174i | −0.690827 | + | 0.347694i | ||||
\(988\) | −223.590 | − | 52.9829i | −0.226305 | − | 0.0536264i | ||||
\(989\) | −557.209 | + | 557.209i | −0.563407 | + | 0.563407i | ||||
\(990\) | −107.817 | + | 32.4836i | −0.108906 | + | 0.0328117i | ||||
\(991\) | 690.368i | 0.696637i | 0.937376 | + | 0.348319i | \(0.113247\pi\) | ||||
−0.937376 | + | 0.348319i | \(0.886753\pi\) | |||||||
\(992\) | 206.035 | + | 135.484i | 0.207697 | + | 0.136577i | ||||
\(993\) | −281.753 | − | 1358.60i | −0.283739 | − | 1.36818i | ||||
\(994\) | −216.327 | + | 1851.10i | −0.217633 | + | 1.86227i | ||||
\(995\) | 45.5961 | − | 170.167i | 0.0458252 | − | 0.171022i | ||||
\(996\) | −45.5670 | + | 74.0247i | −0.0457500 | + | 0.0743219i | ||||
\(997\) | 845.564 | − | 226.568i | 0.848108 | − | 0.227250i | 0.191510 | − | 0.981491i | \(-0.438661\pi\) |
0.656598 | + | 0.754241i | \(0.271995\pi\) | |||||||
\(998\) | 141.730 | + | 967.453i | 0.142014 | + | 0.969392i | ||||
\(999\) | −808.664 | − | 1148.54i | −0.809474 | − | 1.14969i |
(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 | 144.3.v.a.43.7 | ✓ | 184 | |
3.2 | odd | 2 | 432.3.w.a.235.40 | 184 | |||
9.4 | even | 3 | inner | 144.3.v.a.139.25 | yes | 184 | |
9.5 | odd | 6 | 432.3.w.a.91.22 | 184 | |||
16.3 | odd | 4 | inner | 144.3.v.a.115.25 | yes | 184 | |
48.35 | even | 4 | 432.3.w.a.19.22 | 184 | |||
144.67 | odd | 12 | inner | 144.3.v.a.67.7 | yes | 184 | |
144.131 | even | 12 | 432.3.w.a.307.40 | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.3.v.a.43.7 | ✓ | 184 | 1.1 | even | 1 | trivial | |
144.3.v.a.67.7 | yes | 184 | 144.67 | odd | 12 | inner | |
144.3.v.a.115.25 | yes | 184 | 16.3 | odd | 4 | inner | |
144.3.v.a.139.25 | yes | 184 | 9.4 | even | 3 | inner | |
432.3.w.a.19.22 | 184 | 48.35 | even | 4 | |||
432.3.w.a.91.22 | 184 | 9.5 | odd | 6 | |||
432.3.w.a.235.40 | 184 | 3.2 | odd | 2 | |||
432.3.w.a.307.40 | 184 | 144.131 | even | 12 |