Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(19,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.ba (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.13 | ||
Character | \(\chi\) | \(=\) | 280.19 |
Dual form | 280.2.ba.b.59.13 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.881474 | + | 1.10590i | −0.623296 | + | 0.781986i | ||||
\(3\) | −1.13535 | − | 1.96648i | −0.655495 | − | 1.13535i | −0.981769 | − | 0.190075i | \(-0.939127\pi\) |
0.326275 | − | 0.945275i | \(-0.394207\pi\) | |||||||
\(4\) | −0.446008 | − | 1.94964i | −0.223004 | − | 0.974818i | ||||
\(5\) | 1.70095 | − | 1.45147i | 0.760687 | − | 0.649119i | ||||
\(6\) | 3.17551 | + | 0.477826i | 1.29640 | + | 0.195072i | ||||
\(7\) | −0.551936 | + | 2.58754i | −0.208612 | + | 0.977998i | ||||
\(8\) | 2.54924 | + | 1.22531i | 0.901291 | + | 0.433214i | ||||
\(9\) | −1.07804 | + | 1.86722i | −0.359347 | + | 0.622407i | ||||
\(10\) | 0.105836 | + | 3.16051i | 0.0334683 | + | 0.999440i | ||||
\(11\) | −0.454564 | − | 0.787328i | −0.137056 | − | 0.237388i | 0.789325 | − | 0.613976i | \(-0.210431\pi\) |
−0.926381 | + | 0.376587i | \(0.877097\pi\) | |||||||
\(12\) | −3.32755 | + | 3.09059i | −0.960582 | + | 0.892175i | ||||
\(13\) | − | 5.66349i | − | 1.57077i | −0.619007 | − | 0.785385i | \(-0.712465\pi\) | ||
0.619007 | − | 0.785385i | \(-0.287535\pi\) | |||||||
\(14\) | −2.37503 | − | 2.89123i | −0.634754 | − | 0.772714i | ||||
\(15\) | −4.78547 | − | 1.69696i | −1.23560 | − | 0.438153i | ||||
\(16\) | −3.60215 | + | 1.73911i | −0.900538 | + | 0.434776i | ||||
\(17\) | −3.14931 | − | 5.45476i | −0.763819 | − | 1.32297i | −0.940869 | − | 0.338771i | \(-0.889989\pi\) |
0.177050 | − | 0.984202i | \(-0.443345\pi\) | |||||||
\(18\) | −1.11469 | − | 2.83811i | −0.262734 | − | 0.668948i | ||||
\(19\) | −0.966292 | − | 0.557889i | −0.221683 | − | 0.127989i | 0.385047 | − | 0.922897i | \(-0.374185\pi\) |
−0.606729 | + | 0.794909i | \(0.707519\pi\) | |||||||
\(20\) | −3.58848 | − | 2.66886i | −0.802408 | − | 0.596775i | ||||
\(21\) | 5.71500 | − | 1.85239i | 1.24712 | − | 0.404225i | ||||
\(22\) | 1.27139 | + | 0.191309i | 0.271061 | + | 0.0407872i | ||||
\(23\) | −1.14508 | + | 1.98334i | −0.238766 | + | 0.413555i | −0.960360 | − | 0.278761i | \(-0.910076\pi\) |
0.721594 | + | 0.692316i | \(0.243410\pi\) | |||||||
\(24\) | −0.484714 | − | 6.40419i | −0.0989419 | − | 1.30725i | ||||
\(25\) | 0.786450 | − | 4.93776i | 0.157290 | − | 0.987552i | ||||
\(26\) | 6.26323 | + | 4.99222i | 1.22832 | + | 0.979055i | ||||
\(27\) | −1.91628 | −0.368789 | ||||||||
\(28\) | 5.29093 | − | 0.0779898i | 0.999891 | − | 0.0147387i | ||||
\(29\) | 6.21463i | 1.15403i | 0.816734 | + | 0.577014i | \(0.195782\pi\) | ||||
−0.816734 | + | 0.577014i | \(0.804218\pi\) | |||||||
\(30\) | 6.09493 | − | 3.79641i | 1.11278 | − | 0.693126i | ||||
\(31\) | −1.41914 | − | 2.45801i | −0.254884 | − | 0.441472i | 0.709980 | − | 0.704222i | \(-0.248704\pi\) |
−0.964864 | + | 0.262750i | \(0.915371\pi\) | |||||||
\(32\) | 1.25194 | − | 5.51658i | 0.221313 | − | 0.975203i | ||||
\(33\) | −1.03218 | + | 1.78779i | −0.179679 | + | 0.311214i | ||||
\(34\) | 8.80842 | + | 1.32542i | 1.51063 | + | 0.227308i | ||||
\(35\) | 2.81693 | + | 5.20239i | 0.476148 | + | 0.879365i | ||||
\(36\) | 4.12122 | + | 1.26899i | 0.686869 | + | 0.211499i | ||||
\(37\) | 0.789609 | − | 1.36764i | 0.129811 | − | 0.224839i | −0.793792 | − | 0.608189i | \(-0.791896\pi\) |
0.923603 | + | 0.383350i | \(0.125230\pi\) | |||||||
\(38\) | 1.46873 | − | 0.576853i | 0.238259 | − | 0.0935779i | ||||
\(39\) | −11.1372 | + | 6.43005i | −1.78337 | + | 1.02963i | ||||
\(40\) | 6.11463 | − | 1.61595i | 0.966808 | − | 0.255504i | ||||
\(41\) | 0.163067i | 0.0254668i | 0.999919 | + | 0.0127334i | \(0.00405327\pi\) | ||||
−0.999919 | + | 0.0127334i | \(0.995947\pi\) | |||||||
\(42\) | −2.98907 | + | 7.95302i | −0.461224 | + | 1.22718i | ||||
\(43\) | − | 8.29346i | − | 1.26474i | −0.774666 | − | 0.632370i | \(-0.782082\pi\) | ||
0.774666 | − | 0.632370i | \(-0.217918\pi\) | |||||||
\(44\) | −1.33226 | + | 1.23739i | −0.200846 | + | 0.186543i | ||||
\(45\) | 0.876531 | + | 4.74080i | 0.130666 | + | 0.706716i | ||||
\(46\) | −1.18401 | − | 3.01460i | −0.174572 | − | 0.444479i | ||||
\(47\) | 8.56191 | + | 4.94322i | 1.24888 | + | 0.721043i | 0.970887 | − | 0.239540i | \(-0.0769965\pi\) |
0.277996 | + | 0.960582i | \(0.410330\pi\) | |||||||
\(48\) | 7.50963 | + | 5.10909i | 1.08392 | + | 0.737433i | ||||
\(49\) | −6.39073 | − | 2.85631i | −0.912962 | − | 0.408045i | ||||
\(50\) | 4.76741 | + | 5.22224i | 0.674214 | + | 0.738536i | ||||
\(51\) | −7.15113 | + | 12.3861i | −1.00136 | + | 1.73440i | ||||
\(52\) | −11.0417 | + | 2.52596i | −1.53121 | + | 0.350288i | ||||
\(53\) | 2.56505 | + | 4.44280i | 0.352337 | + | 0.610266i | 0.986659 | − | 0.162803i | \(-0.0520537\pi\) |
−0.634321 | + | 0.773070i | \(0.718720\pi\) | |||||||
\(54\) | 1.68916 | − | 2.11921i | 0.229865 | − | 0.288388i | ||||
\(55\) | −1.91598 | − | 0.679417i | −0.258350 | − | 0.0916125i | ||||
\(56\) | −4.57757 | + | 5.91996i | −0.611703 | + | 0.791088i | ||||
\(57\) | 2.53360i | 0.335583i | ||||||||
\(58\) | −6.87273 | − | 5.47803i | −0.902433 | − | 0.719301i | ||||
\(59\) | 9.97768 | − | 5.76061i | 1.29898 | − | 0.749968i | 0.318754 | − | 0.947837i | \(-0.396736\pi\) |
0.980228 | + | 0.197869i | \(0.0634022\pi\) | |||||||
\(60\) | −1.17409 | + | 10.0868i | −0.151574 | + | 1.30220i | ||||
\(61\) | 0.977217 | − | 1.69259i | 0.125120 | − | 0.216714i | −0.796660 | − | 0.604428i | \(-0.793402\pi\) |
0.921780 | + | 0.387714i | \(0.126735\pi\) | |||||||
\(62\) | 3.96924 | + | 0.597261i | 0.504094 | + | 0.0758522i | ||||
\(63\) | −4.23650 | − | 3.82006i | −0.533749 | − | 0.481283i | ||||
\(64\) | 4.99721 | + | 6.24723i | 0.624651 | + | 0.780904i | ||||
\(65\) | −8.22041 | − | 9.63331i | −1.01962 | − | 1.19487i | ||||
\(66\) | −1.06727 | − | 2.71737i | −0.131371 | − | 0.334485i | ||||
\(67\) | 6.09472 | − | 3.51879i | 0.744589 | − | 0.429889i | −0.0791464 | − | 0.996863i | \(-0.525219\pi\) |
0.823735 | + | 0.566974i | \(0.191886\pi\) | |||||||
\(68\) | −9.23017 | + | 8.57286i | −1.11932 | + | 1.03961i | ||||
\(69\) | 5.20028 | 0.626040 | ||||||||
\(70\) | −8.23635 | − | 1.47054i | −0.984432 | − | 0.175763i | ||||
\(71\) | − | 0.811490i | − | 0.0963061i | −0.998840 | − | 0.0481531i | \(-0.984666\pi\) | ||
0.998840 | − | 0.0481531i | \(-0.0153335\pi\) | |||||||
\(72\) | −5.03612 | + | 3.43905i | −0.593512 | + | 0.405296i | ||||
\(73\) | 4.54031 | + | 7.86404i | 0.531403 | + | 0.920417i | 0.999328 | + | 0.0366487i | \(0.0116682\pi\) |
−0.467925 | + | 0.883768i | \(0.654998\pi\) | |||||||
\(74\) | 0.816449 | + | 2.07877i | 0.0949103 | + | 0.241652i | ||||
\(75\) | −10.6029 | + | 4.05955i | −1.22432 | + | 0.468756i | ||||
\(76\) | −0.656706 | + | 2.13274i | −0.0753294 | + | 0.244642i | ||||
\(77\) | 2.28813 | − | 0.741649i | 0.260757 | − | 0.0845187i | ||||
\(78\) | 2.70617 | − | 17.9845i | 0.306413 | − | 2.03634i | ||||
\(79\) | −9.82237 | − | 5.67095i | −1.10510 | − | 0.638031i | −0.167546 | − | 0.985864i | \(-0.553584\pi\) |
−0.937557 | + | 0.347833i | \(0.886918\pi\) | |||||||
\(80\) | −3.60281 | + | 8.18656i | −0.402807 | + | 0.915285i | ||||
\(81\) | 5.40978 | + | 9.37001i | 0.601086 | + | 1.04111i | ||||
\(82\) | −0.180335 | − | 0.143739i | −0.0199147 | − | 0.0158733i | ||||
\(83\) | −7.80839 | −0.857082 | −0.428541 | − | 0.903522i | \(-0.640972\pi\) | ||||
−0.428541 | + | 0.903522i | \(0.640972\pi\) | |||||||
\(84\) | −6.16042 | − | 10.3160i | −0.672157 | − | 1.12557i | ||||
\(85\) | −13.2742 | − | 4.70713i | −1.43979 | − | 0.510560i | ||||
\(86\) | 9.17169 | + | 7.31047i | 0.989009 | + | 0.788308i | ||||
\(87\) | 12.2210 | − | 7.05578i | 1.31023 | − | 0.756459i | ||||
\(88\) | −0.194067 | − | 2.56407i | −0.0206876 | − | 0.273331i | ||||
\(89\) | 12.4104 | + | 7.16517i | 1.31550 | + | 0.759506i | 0.983002 | − | 0.183597i | \(-0.0587740\pi\) |
0.332502 | + | 0.943103i | \(0.392107\pi\) | |||||||
\(90\) | −6.01546 | − | 3.20954i | −0.634085 | − | 0.338315i | ||||
\(91\) | 14.6545 | + | 3.12589i | 1.53621 | + | 0.327682i | ||||
\(92\) | 4.37750 | + | 1.34791i | 0.456386 | + | 0.140529i | ||||
\(93\) | −3.22243 | + | 5.58142i | −0.334151 | + | 0.578766i | ||||
\(94\) | −13.0138 | + | 5.11125i | −1.34227 | + | 0.527185i | ||||
\(95\) | −2.45337 | + | 0.453607i | −0.251711 | + | 0.0465391i | ||||
\(96\) | −12.2697 | + | 3.80134i | −1.25227 | + | 0.387972i | ||||
\(97\) | 9.99774 | 1.01512 | 0.507558 | − | 0.861618i | \(-0.330548\pi\) | ||||
0.507558 | + | 0.861618i | \(0.330548\pi\) | |||||||
\(98\) | 8.79205 | − | 4.54972i | 0.888131 | − | 0.459591i | ||||
\(99\) | 1.96016 | 0.197003 | ||||||||
\(100\) | −9.97760 | + | 0.668991i | −0.997760 | + | 0.0668991i | ||||
\(101\) | 8.69267 | + | 15.0562i | 0.864953 | + | 1.49814i | 0.867093 | + | 0.498146i | \(0.165985\pi\) |
−0.00214005 | + | 0.999998i | \(0.500681\pi\) | |||||||
\(102\) | −7.39422 | − | 18.8264i | −0.732137 | − | 1.86410i | ||||
\(103\) | −1.56602 | − | 0.904144i | −0.154305 | − | 0.0890880i | 0.420859 | − | 0.907126i | \(-0.361729\pi\) |
−0.575164 | + | 0.818038i | \(0.695062\pi\) | |||||||
\(104\) | 6.93956 | − | 14.4376i | 0.680480 | − | 1.41572i | ||||
\(105\) | 7.03222 | − | 11.4460i | 0.686274 | − | 1.11701i | ||||
\(106\) | −7.17430 | − | 1.07953i | −0.696830 | − | 0.104854i | ||||
\(107\) | 3.08558 | + | 1.78146i | 0.298294 | + | 0.172220i | 0.641676 | − | 0.766976i | \(-0.278239\pi\) |
−0.343382 | + | 0.939196i | \(0.611573\pi\) | |||||||
\(108\) | 0.854678 | + | 3.73606i | 0.0822414 | + | 0.359502i | ||||
\(109\) | 1.72947 | − | 0.998508i | 0.165653 | − | 0.0956398i | −0.414882 | − | 0.909875i | \(-0.636177\pi\) |
0.580534 | + | 0.814236i | \(0.302844\pi\) | |||||||
\(110\) | 2.44025 | − | 1.51998i | 0.232668 | − | 0.144924i | ||||
\(111\) | −3.58593 | −0.340361 | ||||||||
\(112\) | −2.51185 | − | 10.2806i | −0.237347 | − | 0.971425i | ||||
\(113\) | 13.5251i | 1.27234i | 0.771551 | + | 0.636168i | \(0.219481\pi\) | ||||
−0.771551 | + | 0.636168i | \(0.780519\pi\) | |||||||
\(114\) | −2.80189 | − | 2.23330i | −0.262421 | − | 0.209168i | ||||
\(115\) | 0.931040 | + | 5.03561i | 0.0868199 | + | 0.469573i | ||||
\(116\) | 12.1163 | − | 2.77177i | 1.12497 | − | 0.257353i | ||||
\(117\) | 10.5750 | + | 6.10548i | 0.977659 | + | 0.564452i | ||||
\(118\) | −2.42443 | + | 16.1121i | −0.223186 | + | 1.48324i | ||||
\(119\) | 15.8526 | − | 5.13828i | 1.45321 | − | 0.471025i | ||||
\(120\) | −10.1200 | − | 10.1897i | −0.923825 | − | 0.930184i | ||||
\(121\) | 5.08674 | − | 8.81050i | 0.462431 | − | 0.800954i | ||||
\(122\) | 1.01044 | + | 2.57267i | 0.0914805 | + | 0.232919i | ||||
\(123\) | 0.320669 | − | 0.185138i | 0.0289137 | − | 0.0166933i | ||||
\(124\) | −4.15929 | + | 3.86309i | −0.373515 | + | 0.346916i | ||||
\(125\) | −5.82932 | − | 9.54039i | −0.521390 | − | 0.853318i | ||||
\(126\) | 7.95895 | − | 1.31784i | 0.709040 | − | 0.117403i | ||||
\(127\) | −1.34956 | −0.119754 | −0.0598772 | − | 0.998206i | \(-0.519071\pi\) | ||||
−0.0598772 | + | 0.998206i | \(0.519071\pi\) | |||||||
\(128\) | −11.3137 | + | 0.0196185i | −0.999998 | + | 0.00173404i | ||||
\(129\) | −16.3090 | + | 9.41598i | −1.43592 | + | 0.829031i | ||||
\(130\) | 17.8995 | − | 0.599401i | 1.56989 | − | 0.0525710i | ||||
\(131\) | −7.08950 | − | 4.09312i | −0.619412 | − | 0.357618i | 0.157228 | − | 0.987562i | \(-0.449744\pi\) |
−0.776640 | + | 0.629944i | \(0.783078\pi\) | |||||||
\(132\) | 3.94589 | + | 1.21501i | 0.343446 | + | 0.105753i | ||||
\(133\) | 1.97689 | − | 2.19240i | 0.171418 | − | 0.190105i | ||||
\(134\) | −1.48093 | + | 9.84185i | −0.127933 | + | 0.850206i | ||||
\(135\) | −3.25950 | + | 2.78144i | −0.280533 | + | 0.239388i | ||||
\(136\) | −1.34453 | − | 17.7644i | −0.115293 | − | 1.52328i | ||||
\(137\) | 4.43159 | − | 2.55858i | 0.378616 | − | 0.218594i | −0.298600 | − | 0.954378i | \(-0.596520\pi\) |
0.677216 | + | 0.735784i | \(0.263186\pi\) | |||||||
\(138\) | −4.58391 | + | 5.75096i | −0.390208 | + | 0.489554i | ||||
\(139\) | − | 17.9166i | − | 1.51967i | −0.650117 | − | 0.759834i | \(-0.725280\pi\) | ||
0.650117 | − | 0.759834i | \(-0.274720\pi\) | |||||||
\(140\) | 8.88639 | − | 7.81230i | 0.751037 | − | 0.660260i | ||||
\(141\) | − | 22.4491i | − | 1.89056i | ||||||
\(142\) | 0.897422 | + | 0.715307i | 0.0753100 | + | 0.0600272i | ||||
\(143\) | −4.45903 | + | 2.57442i | −0.372883 | + | 0.215284i | ||||
\(144\) | 0.635975 | − | 8.60085i | 0.0529979 | − | 0.716737i | ||||
\(145\) | 9.02037 | + | 10.5708i | 0.749101 | + | 0.877854i | ||||
\(146\) | −12.6990 | − | 1.91084i | −1.05097 | − | 0.158143i | ||||
\(147\) | 1.63883 | + | 15.8102i | 0.135168 | + | 1.30400i | ||||
\(148\) | −3.01857 | − | 0.929469i | −0.248125 | − | 0.0764019i | ||||
\(149\) | −6.16993 | − | 3.56221i | −0.505460 | − | 0.291827i | 0.225505 | − | 0.974242i | \(-0.427597\pi\) |
−0.730965 | + | 0.682414i | \(0.760930\pi\) | |||||||
\(150\) | 4.85677 | − | 15.3041i | 0.396554 | − | 1.24958i | ||||
\(151\) | 2.46560 | − | 1.42352i | 0.200648 | − | 0.115844i | −0.396310 | − | 0.918117i | \(-0.629709\pi\) |
0.596958 | + | 0.802273i | \(0.296376\pi\) | |||||||
\(152\) | −1.77972 | − | 2.60620i | −0.144354 | − | 0.211391i | ||||
\(153\) | 13.5803 | 1.09790 | ||||||||
\(154\) | −1.19674 | + | 3.18418i | −0.0964365 | + | 0.256589i | ||||
\(155\) | −5.98162 | − | 2.12112i | −0.480455 | − | 0.170372i | ||||
\(156\) | 17.5035 | + | 18.8456i | 1.40140 | + | 1.50885i | ||||
\(157\) | 11.4030 | − | 6.58353i | 0.910059 | − | 0.525423i | 0.0296091 | − | 0.999562i | \(-0.490574\pi\) |
0.880450 | + | 0.474139i | \(0.157240\pi\) | |||||||
\(158\) | 14.9296 | − | 5.86372i | 1.18774 | − | 0.466492i | ||||
\(159\) | 5.82447 | − | 10.0883i | 0.461911 | − | 0.800053i | ||||
\(160\) | −5.87769 | − | 11.2006i | −0.464672 | − | 0.885483i | ||||
\(161\) | −4.49996 | − | 4.05762i | −0.354647 | − | 0.319785i | ||||
\(162\) | −15.1308 | − | 2.27677i | −1.18879 | − | 0.178880i | ||||
\(163\) | 14.9075 | + | 8.60684i | 1.16764 | + | 0.674139i | 0.953124 | − | 0.302580i | \(-0.0978480\pi\) |
0.214520 | + | 0.976720i | \(0.431181\pi\) | |||||||
\(164\) | 0.317921 | − | 0.0727291i | 0.0248255 | − | 0.00567919i | ||||
\(165\) | 0.839242 | + | 4.53911i | 0.0653349 | + | 0.353370i | ||||
\(166\) | 6.88289 | − | 8.63526i | 0.534216 | − | 0.670226i | ||||
\(167\) | 0.285811i | 0.0221167i | 0.999939 | + | 0.0110584i | \(0.00352006\pi\) | ||||
−0.999939 | + | 0.0110584i | \(0.996480\pi\) | |||||||
\(168\) | 16.8386 | + | 2.28049i | 1.29913 | + | 0.175943i | ||||
\(169\) | −19.0752 | −1.46732 | ||||||||
\(170\) | 16.9065 | − | 10.5307i | 1.29667 | − | 0.807669i | ||||
\(171\) | 2.08341 | − | 1.20285i | 0.159322 | − | 0.0919846i | ||||
\(172\) | −16.1692 | + | 3.69895i | −1.23289 | + | 0.282042i | ||||
\(173\) | −16.6842 | − | 9.63264i | −1.26848 | − | 0.732356i | −0.293778 | − | 0.955874i | \(-0.594913\pi\) |
−0.974700 | + | 0.223518i | \(0.928246\pi\) | |||||||
\(174\) | −2.96951 | + | 19.7346i | −0.225118 | + | 1.49608i | ||||
\(175\) | 12.3426 | + | 4.76030i | 0.933012 | + | 0.359845i | ||||
\(176\) | 3.00666 | + | 2.04554i | 0.226635 | + | 0.154189i | ||||
\(177\) | −22.6563 | − | 13.0806i | −1.70295 | − | 0.983200i | ||||
\(178\) | −18.8634 | + | 7.40873i | −1.41387 | + | 0.555308i | ||||
\(179\) | 0.701703 | + | 1.21539i | 0.0524478 | + | 0.0908422i | 0.891057 | − | 0.453891i | \(-0.149964\pi\) |
−0.838610 | + | 0.544733i | \(0.816631\pi\) | |||||||
\(180\) | 8.85188 | − | 3.82335i | 0.659780 | − | 0.284975i | ||||
\(181\) | −15.3818 | −1.14332 | −0.571660 | − | 0.820491i | \(-0.693700\pi\) | ||||
−0.571660 | + | 0.820491i | \(0.693700\pi\) | |||||||
\(182\) | −16.3745 | + | 13.4510i | −1.21376 | + | 0.997053i | ||||
\(183\) | −4.43794 | −0.328062 | ||||||||
\(184\) | −5.34930 | + | 3.65292i | −0.394356 | + | 0.269297i | ||||
\(185\) | −0.642013 | − | 3.47238i | −0.0472017 | − | 0.255295i | ||||
\(186\) | −3.33197 | − | 8.48354i | −0.244312 | − | 0.622044i | ||||
\(187\) | −2.86312 | + | 4.95908i | −0.209372 | + | 0.362644i | ||||
\(188\) | 5.81880 | − | 18.8973i | 0.424379 | − | 1.37823i | ||||
\(189\) | 1.05767 | − | 4.95847i | 0.0769339 | − | 0.360675i | ||||
\(190\) | 1.66094 | − | 3.11302i | 0.120497 | − | 0.225842i | ||||
\(191\) | 19.4587 | + | 11.2345i | 1.40798 | + | 0.812898i | 0.995193 | − | 0.0979302i | \(-0.0312222\pi\) |
0.412787 | + | 0.910828i | \(0.364556\pi\) | |||||||
\(192\) | 6.61150 | − | 16.9197i | 0.477144 | − | 1.22108i | ||||
\(193\) | −14.3435 | + | 8.28125i | −1.03247 | + | 0.596097i | −0.917691 | − | 0.397294i | \(-0.869949\pi\) |
−0.114779 | + | 0.993391i | \(0.536616\pi\) | |||||||
\(194\) | −8.81274 | + | 11.0564i | −0.632718 | + | 0.793807i | ||||
\(195\) | −9.61071 | + | 27.1025i | −0.688237 | + | 1.94085i | ||||
\(196\) | −2.71845 | + | 13.7335i | −0.194175 | + | 0.980967i | ||||
\(197\) | 16.1344 | 1.14953 | 0.574765 | − | 0.818318i | \(-0.305093\pi\) | ||||
0.574765 | + | 0.818318i | \(0.305093\pi\) | |||||||
\(198\) | −1.72783 | + | 2.16773i | −0.122791 | + | 0.154054i | ||||
\(199\) | 10.9134 | + | 18.9025i | 0.773629 | + | 1.33996i | 0.935562 | + | 0.353163i | \(0.114894\pi\) |
−0.161933 | + | 0.986802i | \(0.551773\pi\) | |||||||
\(200\) | 8.05516 | − | 11.6239i | 0.569586 | − | 0.821932i | ||||
\(201\) | −13.8393 | − | 7.99012i | −0.976149 | − | 0.563580i | ||||
\(202\) | −24.3129 | − | 3.65842i | −1.71065 | − | 0.257405i | ||||
\(203\) | −16.0806 | − | 3.43008i | −1.12864 | − | 0.240744i | ||||
\(204\) | 27.3379 | + | 8.41779i | 1.91403 | + | 0.589363i | ||||
\(205\) | 0.236687 | + | 0.277368i | 0.0165310 | + | 0.0193723i | ||||
\(206\) | 2.38030 | − | 0.934878i | 0.165843 | − | 0.0651361i | ||||
\(207\) | −2.46889 | − | 4.27624i | −0.171600 | − | 0.297219i | ||||
\(208\) | 9.84941 | + | 20.4008i | 0.682934 | + | 1.41454i | ||||
\(209\) | 1.01439i | 0.0701665i | ||||||||
\(210\) | 6.45935 | + | 17.8662i | 0.445737 | + | 1.23289i | ||||
\(211\) | −9.76612 | −0.672328 | −0.336164 | − | 0.941804i | \(-0.609130\pi\) | ||||
−0.336164 | + | 0.941804i | \(0.609130\pi\) | |||||||
\(212\) | 7.51781 | − | 6.98245i | 0.516326 | − | 0.479556i | ||||
\(213\) | −1.59578 | + | 0.921325i | −0.109341 | + | 0.0631282i | ||||
\(214\) | −4.68997 | + | 1.84202i | −0.320599 | + | 0.125918i | ||||
\(215\) | −12.0377 | − | 14.1067i | −0.820967 | − | 0.962072i | ||||
\(216\) | −4.88506 | − | 2.34805i | −0.332386 | − | 0.159765i | ||||
\(217\) | 7.14348 | − | 2.31540i | 0.484931 | − | 0.157180i | ||||
\(218\) | −0.420235 | + | 2.79277i | −0.0284619 | + | 0.189150i | ||||
\(219\) | 10.3097 | − | 17.8569i | 0.696664 | − | 1.20666i | ||||
\(220\) | −0.470074 | + | 4.03848i | −0.0316924 | + | 0.272274i | ||||
\(221\) | −30.8930 | + | 17.8361i | −2.07809 | + | 1.19978i | ||||
\(222\) | 3.16090 | − | 3.96566i | 0.212146 | − | 0.266158i | ||||
\(223\) | 17.6951i | 1.18495i | 0.805589 | + | 0.592474i | \(0.201849\pi\) | ||||
−0.805589 | + | 0.592474i | \(0.798151\pi\) | |||||||
\(224\) | 13.5834 | + | 6.28424i | 0.907578 | + | 0.419883i | ||||
\(225\) | 8.37207 | + | 6.79159i | 0.558138 | + | 0.452772i | ||||
\(226\) | −14.9574 | − | 11.9220i | −0.994948 | − | 0.793042i | ||||
\(227\) | −8.76537 | − | 15.1821i | −0.581778 | − | 1.00767i | −0.995269 | − | 0.0971611i | \(-0.969024\pi\) |
0.413490 | − | 0.910509i | \(-0.364310\pi\) | |||||||
\(228\) | 4.93959 | − | 1.13000i | 0.327132 | − | 0.0748364i | ||||
\(229\) | 3.45967 | − | 5.99232i | 0.228621 | − | 0.395984i | −0.728778 | − | 0.684750i | \(-0.759912\pi\) |
0.957400 | + | 0.288766i | \(0.0932449\pi\) | |||||||
\(230\) | −6.38955 | − | 3.40913i | −0.421314 | − | 0.224791i | ||||
\(231\) | −4.05627 | − | 3.65755i | −0.266883 | − | 0.240649i | ||||
\(232\) | −7.61487 | + | 15.8426i | −0.499941 | + | 1.04011i | ||||
\(233\) | 3.78953 | + | 2.18788i | 0.248260 | + | 0.143333i | 0.618967 | − | 0.785417i | \(-0.287551\pi\) |
−0.370707 | + | 0.928750i | \(0.620885\pi\) | |||||||
\(234\) | −16.0736 | + | 6.31302i | −1.05076 | + | 0.412695i | ||||
\(235\) | 21.7383 | − | 4.01922i | 1.41805 | − | 0.262185i | ||||
\(236\) | −15.6812 | − | 16.8835i | −1.02076 | − | 1.09903i | ||||
\(237\) | 25.7540i | 1.67291i | ||||||||
\(238\) | −8.29127 | + | 22.0606i | −0.537443 | + | 1.42998i | ||||
\(239\) | − | 14.1535i | − | 0.915511i | −0.889078 | − | 0.457756i | \(-0.848653\pi\) | ||
0.889078 | − | 0.457756i | \(-0.151347\pi\) | |||||||
\(240\) | 20.1892 | − | 2.20974i | 1.30321 | − | 0.142638i | ||||
\(241\) | 13.4126 | − | 7.74379i | 0.863984 | − | 0.498821i | −0.00136057 | − | 0.999999i | \(-0.500433\pi\) |
0.865344 | + | 0.501178i | \(0.167100\pi\) | |||||||
\(242\) | 5.25965 | + | 13.3916i | 0.338103 | + | 0.860846i | ||||
\(243\) | 9.40956 | − | 16.2978i | 0.603624 | − | 1.04551i | ||||
\(244\) | −3.73578 | − | 1.15031i | −0.239159 | − | 0.0736410i | ||||
\(245\) | −15.0162 | + | 4.41754i | −0.959348 | + | 0.282226i | ||||
\(246\) | −0.0779177 | + | 0.517820i | −0.00496785 | + | 0.0330150i | ||||
\(247\) | −3.15960 | + | 5.47259i | −0.201041 | + | 0.348213i | ||||
\(248\) | −0.605870 | − | 8.00495i | −0.0384728 | − | 0.508315i | ||||
\(249\) | 8.86526 | + | 15.3551i | 0.561813 | + | 0.973088i | ||||
\(250\) | 15.6891 | + | 1.96299i | 0.992263 | + | 0.124150i | ||||
\(251\) | 6.13020i | 0.386935i | 0.981107 | + | 0.193467i | \(0.0619734\pi\) | ||||
−0.981107 | + | 0.193467i | \(0.938027\pi\) | |||||||
\(252\) | −5.55821 | + | 9.96341i | −0.350135 | + | 0.627636i | ||||
\(253\) | 2.08205 | 0.130898 | ||||||||
\(254\) | 1.18961 | − | 1.49248i | 0.0746425 | − | 0.0936463i | ||||
\(255\) | 5.81442 | + | 31.4478i | 0.364113 | + | 1.96934i | ||||
\(256\) | 9.95103 | − | 12.5290i | 0.621939 | − | 0.783066i | ||||
\(257\) | −3.21050 | + | 5.56075i | −0.200266 | + | 0.346870i | −0.948614 | − | 0.316436i | \(-0.897514\pi\) |
0.748348 | + | 0.663306i | \(0.230847\pi\) | |||||||
\(258\) | 3.96283 | − | 26.3359i | 0.246715 | − | 1.63960i | ||||
\(259\) | 3.10302 | + | 2.79800i | 0.192812 | + | 0.173859i | ||||
\(260\) | −15.1151 | + | 20.3233i | −0.937397 | + | 1.26040i | ||||
\(261\) | −11.6041 | − | 6.69962i | −0.718275 | − | 0.414696i | ||||
\(262\) | 10.7758 | − | 4.23226i | 0.665729 | − | 0.261470i | ||||
\(263\) | 3.23009 | + | 5.59468i | 0.199176 | + | 0.344983i | 0.948261 | − | 0.317491i | \(-0.102840\pi\) |
−0.749086 | + | 0.662473i | \(0.769507\pi\) | |||||||
\(264\) | −4.82187 | + | 3.29275i | −0.296766 | + | 0.202655i | ||||
\(265\) | 10.8116 | + | 3.83387i | 0.664154 | + | 0.235513i | ||||
\(266\) | 0.681987 | + | 4.11878i | 0.0418153 | + | 0.252539i | ||||
\(267\) | − | 32.5399i | − | 1.99141i | ||||||
\(268\) | −9.57865 | − | 10.3131i | −0.585109 | − | 0.629972i | ||||
\(269\) | −0.755340 | − | 1.30829i | −0.0460539 | − | 0.0797677i | 0.842080 | − | 0.539353i | \(-0.181331\pi\) |
−0.888133 | + | 0.459586i | \(0.847998\pi\) | |||||||
\(270\) | −0.202812 | − | 6.05643i | −0.0123427 | − | 0.368583i | ||||
\(271\) | −8.66274 | + | 15.0043i | −0.526224 | + | 0.911447i | 0.473309 | + | 0.880896i | \(0.343059\pi\) |
−0.999533 | + | 0.0305504i | \(0.990274\pi\) | |||||||
\(272\) | 20.8307 | + | 14.1719i | 1.26305 | + | 0.859298i | ||||
\(273\) | −10.4910 | − | 32.3669i | −0.634945 | − | 1.95893i | ||||
\(274\) | −1.07681 | + | 7.15619i | −0.0650524 | + | 0.432321i | ||||
\(275\) | −4.24513 | + | 1.62534i | −0.255991 | + | 0.0980114i | ||||
\(276\) | −2.31936 | − | 10.1386i | −0.139609 | − | 0.610274i | ||||
\(277\) | −5.77685 | − | 10.0058i | −0.347097 | − | 0.601190i | 0.638635 | − | 0.769510i | \(-0.279499\pi\) |
−0.985733 | + | 0.168319i | \(0.946166\pi\) | |||||||
\(278\) | 19.8139 | + | 15.7930i | 1.18836 | + | 0.947203i | ||||
\(279\) | 6.11954 | 0.366368 | ||||||||
\(280\) | 0.806458 | + | 16.7138i | 0.0481951 | + | 0.998838i | ||||
\(281\) | 16.6526 | 0.993408 | 0.496704 | − | 0.867920i | \(-0.334543\pi\) | ||||
0.496704 | + | 0.867920i | \(0.334543\pi\) | |||||||
\(282\) | 24.8264 | + | 19.7883i | 1.47839 | + | 1.17838i | ||||
\(283\) | 11.3769 | + | 19.7053i | 0.676285 | + | 1.17136i | 0.976091 | + | 0.217360i | \(0.0697447\pi\) |
−0.299806 | + | 0.954000i | \(0.596922\pi\) | |||||||
\(284\) | −1.58211 | + | 0.361931i | −0.0938809 | + | 0.0214766i | ||||
\(285\) | 3.67745 | + | 4.30952i | 0.217833 | + | 0.255274i | ||||
\(286\) | 1.08348 | − | 7.20050i | 0.0640673 | − | 0.425775i | ||||
\(287\) | −0.421942 | − | 0.0900025i | −0.0249065 | − | 0.00531268i | ||||
\(288\) | 8.95104 | + | 8.28474i | 0.527445 | + | 0.488183i | ||||
\(289\) | −11.3363 | + | 19.6350i | −0.666839 | + | 1.15500i | ||||
\(290\) | −19.6414 | + | 0.657731i | −1.15338 | + | 0.0386233i | ||||
\(291\) | −11.3509 | − | 19.6604i | −0.665404 | − | 1.15251i | ||||
\(292\) | 13.3070 | − | 12.3594i | 0.778733 | − | 0.723277i | ||||
\(293\) | 8.66311i | 0.506104i | 0.967453 | + | 0.253052i | \(0.0814344\pi\) | ||||
−0.967453 | + | 0.253052i | \(0.918566\pi\) | |||||||
\(294\) | −18.9290 | − | 12.1239i | −1.10396 | − | 0.707080i | ||||
\(295\) | 8.61013 | − | 24.2808i | 0.501301 | − | 1.41368i | ||||
\(296\) | 3.68869 | − | 2.51892i | 0.214401 | − | 0.146409i | ||||
\(297\) | 0.871075 | + | 1.50875i | 0.0505449 | + | 0.0875463i | ||||
\(298\) | 9.37806 | − | 3.68330i | 0.543256 | − | 0.213368i | ||||
\(299\) | 11.2326 | + | 6.48516i | 0.649600 | + | 0.375047i | ||||
\(300\) | 12.6436 | + | 18.8613i | 0.729980 | + | 1.08895i | ||||
\(301\) | 21.4597 | + | 4.57746i | 1.23691 | + | 0.263840i | ||||
\(302\) | −0.599105 | + | 3.98149i | −0.0344746 | + | 0.229109i | ||||
\(303\) | 19.7385 | − | 34.1880i | 1.13395 | − | 1.96405i | ||||
\(304\) | 4.45096 | + | 0.329119i | 0.255280 | + | 0.0188762i | ||||
\(305\) | −0.794553 | − | 4.29741i | −0.0454960 | − | 0.246069i | ||||
\(306\) | −11.9707 | + | 15.0184i | −0.684319 | + | 0.858546i | ||||
\(307\) | −11.6862 | −0.666967 | −0.333484 | − | 0.942756i | \(-0.608224\pi\) | ||||
−0.333484 | + | 0.942756i | \(0.608224\pi\) | |||||||
\(308\) | −2.46647 | − | 4.13025i | −0.140540 | − | 0.235343i | ||||
\(309\) | 4.10608i | 0.233587i | ||||||||
\(310\) | 7.61837 | − | 4.74533i | 0.432695 | − | 0.269517i | ||||
\(311\) | −5.66670 | − | 9.81500i | −0.321329 | − | 0.556558i | 0.659434 | − | 0.751763i | \(-0.270796\pi\) |
−0.980762 | + | 0.195205i | \(0.937463\pi\) | |||||||
\(312\) | −36.2701 | + | 2.74518i | −2.05339 | + | 0.155415i | ||||
\(313\) | 12.7012 | − | 21.9992i | 0.717916 | − | 1.24347i | −0.243908 | − | 0.969798i | \(-0.578430\pi\) |
0.961824 | − | 0.273668i | \(-0.0882370\pi\) | |||||||
\(314\) | −2.77076 | + | 18.4137i | −0.156363 | + | 1.03915i | ||||
\(315\) | −12.7508 | − | 0.348556i | −0.718426 | − | 0.0196389i | ||||
\(316\) | −6.67542 | + | 21.6793i | −0.375522 | + | 1.21956i | ||||
\(317\) | −11.9131 | + | 20.6342i | −0.669109 | + | 1.15893i | 0.309045 | + | 0.951048i | \(0.399991\pi\) |
−0.978154 | + | 0.207883i | \(0.933343\pi\) | |||||||
\(318\) | 6.02246 | + | 15.3338i | 0.337723 | + | 0.859877i | ||||
\(319\) | 4.89295 | − | 2.82495i | 0.273953 | − | 0.158167i | ||||
\(320\) | 17.5677 | + | 3.37290i | 0.982063 | + | 0.188551i | ||||
\(321\) | − | 8.09033i | − | 0.451558i | ||||||
\(322\) | 8.45390 | − | 1.39980i | 0.471118 | − | 0.0780076i | ||||
\(323\) | 7.02785i | 0.391040i | ||||||||
\(324\) | 15.8553 | − | 14.7262i | 0.880850 | − | 0.818122i | ||||
\(325\) | −27.9650 | − | 4.45405i | −1.55122 | − | 0.247066i | ||||
\(326\) | −22.6588 | + | 8.89941i | −1.25496 | + | 0.492893i | ||||
\(327\) | −3.92710 | − | 2.26731i | −0.217169 | − | 0.125383i | ||||
\(328\) | −0.199808 | + | 0.415696i | −0.0110326 | + | 0.0229530i | ||||
\(329\) | −17.5164 | + | 19.4259i | −0.965711 | + | 1.07099i | ||||
\(330\) | −5.75955 | − | 3.07300i | −0.317053 | − | 0.169163i | ||||
\(331\) | −2.35173 | + | 4.07331i | −0.129263 | + | 0.223889i | −0.923391 | − | 0.383861i | \(-0.874594\pi\) |
0.794129 | + | 0.607750i | \(0.207928\pi\) | |||||||
\(332\) | 3.48260 | + | 15.2235i | 0.191133 | + | 0.835498i | ||||
\(333\) | 1.70246 | + | 2.94875i | 0.0932943 | + | 0.161590i | ||||
\(334\) | −0.316077 | − | 0.251935i | −0.0172950 | − | 0.0137853i | ||||
\(335\) | 5.25938 | − | 14.8316i | 0.287351 | − | 0.810337i | ||||
\(336\) | −17.3648 | + | 16.6116i | −0.947328 | + | 0.906236i | ||||
\(337\) | 10.0355i | 0.546669i | 0.961919 | + | 0.273335i | \(0.0881267\pi\) | ||||
−0.961919 | + | 0.273335i | \(0.911873\pi\) | |||||||
\(338\) | 16.8143 | − | 21.0951i | 0.914575 | − | 1.14742i | ||||
\(339\) | 26.5969 | − | 15.3557i | 1.44455 | − | 0.834009i | ||||
\(340\) | −3.25676 | + | 27.9793i | −0.176623 | + | 1.51739i | ||||
\(341\) | −1.29018 | + | 2.23465i | −0.0698670 | + | 0.121013i | ||||
\(342\) | −0.506236 | + | 3.36431i | −0.0273741 | + | 0.181921i | ||||
\(343\) | 10.9181 | − | 14.9598i | 0.589522 | − | 0.807752i | ||||
\(344\) | 10.1621 | − | 21.1420i | 0.547903 | − | 1.13990i | ||||
\(345\) | 8.84540 | − | 7.54806i | 0.476220 | − | 0.406374i | ||||
\(346\) | 25.3594 | − | 9.96008i | 1.36333 | − | 0.535457i | ||||
\(347\) | −6.86288 | + | 3.96228i | −0.368418 | + | 0.212706i | −0.672767 | − | 0.739854i | \(-0.734894\pi\) |
0.304349 | + | 0.952561i | \(0.401561\pi\) | |||||||
\(348\) | −19.2068 | − | 20.6795i | −1.02960 | − | 1.10854i | ||||
\(349\) | −6.06729 | −0.324775 | −0.162387 | − | 0.986727i | \(-0.551919\pi\) | ||||
−0.162387 | + | 0.986727i | \(0.551919\pi\) | |||||||
\(350\) | −16.1441 | + | 9.45353i | −0.862936 | + | 0.505313i | ||||
\(351\) | 10.8529i | 0.579283i | ||||||||
\(352\) | −4.91245 | + | 1.52195i | −0.261834 | + | 0.0811205i | ||||
\(353\) | −17.3298 | − | 30.0161i | −0.922371 | − | 1.59759i | −0.795735 | − | 0.605644i | \(-0.792915\pi\) |
−0.126636 | − | 0.991949i | \(-0.540418\pi\) | |||||||
\(354\) | 34.4368 | − | 13.5253i | 1.83029 | − | 0.718860i | ||||
\(355\) | −1.17786 | − | 1.38030i | −0.0625141 | − | 0.0732588i | ||||
\(356\) | 8.43431 | − | 27.3915i | 0.447018 | − | 1.45175i | ||||
\(357\) | −28.1026 | − | 25.3402i | −1.48735 | − | 1.34115i | ||||
\(358\) | −1.96262 | − | 0.295321i | −0.103728 | − | 0.0156082i | ||||
\(359\) | −4.46664 | − | 2.57881i | −0.235740 | − | 0.136105i | 0.377477 | − | 0.926019i | \(-0.376792\pi\) |
−0.613217 | + | 0.789914i | \(0.710125\pi\) | |||||||
\(360\) | −3.57448 | + | 13.1594i | −0.188392 | + | 0.693563i | ||||
\(361\) | −8.87752 | − | 15.3763i | −0.467238 | − | 0.809280i | ||||
\(362\) | 13.5587 | − | 17.0107i | 0.712627 | − | 0.894060i | ||||
\(363\) | −23.1009 | −1.21248 | ||||||||
\(364\) | −0.441695 | − | 29.9651i | −0.0231511 | − | 1.57060i | ||||
\(365\) | 19.1373 | + | 6.78619i | 1.00169 | + | 0.355206i | ||||
\(366\) | 3.91192 | − | 4.90789i | 0.204480 | − | 0.256540i | ||||
\(367\) | 12.5217 | − | 7.22938i | 0.653625 | − | 0.377371i | −0.136218 | − | 0.990679i | \(-0.543495\pi\) |
0.789844 | + | 0.613308i | \(0.210162\pi\) | |||||||
\(368\) | 0.675524 | − | 9.13571i | 0.0352141 | − | 0.476232i | ||||
\(369\) | −0.304482 | − | 0.175793i | −0.0158507 | − | 0.00915141i | ||||
\(370\) | 4.40601 | + | 2.35082i | 0.229058 | + | 0.122213i | ||||
\(371\) | −12.9117 | + | 4.18504i | −0.670341 | + | 0.217276i | ||||
\(372\) | 12.3190 | + | 3.79321i | 0.638708 | + | 0.196669i | ||||
\(373\) | 3.13591 | − | 5.43156i | 0.162372 | − | 0.281236i | −0.773347 | − | 0.633983i | \(-0.781419\pi\) |
0.935719 | + | 0.352747i | \(0.114752\pi\) | |||||||
\(374\) | −2.96045 | − | 7.53761i | −0.153081 | − | 0.389761i | ||||
\(375\) | −12.1427 | + | 22.2950i | −0.627047 | + | 1.15131i | ||||
\(376\) | 15.7693 | + | 23.0925i | 0.813241 | + | 1.19090i | ||||
\(377\) | 35.1965 | 1.81271 | ||||||||
\(378\) | 4.55124 | + | 5.54043i | 0.234090 | + | 0.284969i | ||||
\(379\) | −24.4959 | −1.25827 | −0.629135 | − | 0.777296i | \(-0.716591\pi\) | ||||
−0.629135 | + | 0.777296i | \(0.716591\pi\) | |||||||
\(380\) | 1.97859 | + | 4.58087i | 0.101500 | + | 0.234994i | ||||
\(381\) | 1.53223 | + | 2.65390i | 0.0784984 | + | 0.135963i | ||||
\(382\) | −29.5764 | + | 11.6164i | −1.51326 | + | 0.594345i | ||||
\(383\) | −7.48398 | − | 4.32088i | −0.382413 | − | 0.220786i | 0.296454 | − | 0.955047i | \(-0.404196\pi\) |
−0.678868 | + | 0.734261i | \(0.737529\pi\) | |||||||
\(384\) | 12.8836 | + | 22.2259i | 0.657463 | + | 1.13421i | ||||
\(385\) | 2.81551 | − | 4.58267i | 0.143492 | − | 0.233555i | ||||
\(386\) | 3.48526 | − | 23.1621i | 0.177395 | − | 1.17892i | ||||
\(387\) | 15.4857 | + | 8.94069i | 0.787184 | + | 0.454481i | ||||
\(388\) | −4.45907 | − | 19.4919i | −0.226375 | − | 0.989553i | ||||
\(389\) | −8.34342 | + | 4.81708i | −0.423028 | + | 0.244235i | −0.696372 | − | 0.717681i | \(-0.745204\pi\) |
0.273344 | + | 0.961916i | \(0.411870\pi\) | |||||||
\(390\) | −21.5009 | − | 34.5186i | −1.08874 | − | 1.74792i | ||||
\(391\) | 14.4249 | 0.729496 | ||||||||
\(392\) | −12.7916 | − | 15.1121i | −0.646074 | − | 0.763275i | ||||
\(393\) | 18.5885i | 0.937667i | ||||||||
\(394\) | −14.2221 | + | 17.8430i | −0.716498 | + | 0.898916i | ||||
\(395\) | −24.9386 | + | 4.61092i | −1.25480 | + | 0.232001i | ||||
\(396\) | −0.874245 | − | 3.82159i | −0.0439325 | − | 0.192042i | ||||
\(397\) | −13.5336 | − | 7.81361i | −0.679230 | − | 0.392154i | 0.120335 | − | 0.992733i | \(-0.461603\pi\) |
−0.799565 | + | 0.600580i | \(0.794937\pi\) | |||||||
\(398\) | −30.5241 | − | 4.59303i | −1.53003 | − | 0.230228i | ||||
\(399\) | −6.55579 | − | 1.39838i | −0.328200 | − | 0.0700068i | ||||
\(400\) | 5.75437 | + | 19.1543i | 0.287719 | + | 0.957715i | ||||
\(401\) | −13.4230 | + | 23.2493i | −0.670311 | + | 1.16101i | 0.307505 | + | 0.951546i | \(0.400506\pi\) |
−0.977816 | + | 0.209466i | \(0.932827\pi\) | |||||||
\(402\) | 21.0352 | − | 8.26173i | 1.04914 | − | 0.412057i | ||||
\(403\) | −13.9209 | + | 8.03726i | −0.693452 | + | 0.400365i | ||||
\(404\) | 25.4770 | − | 23.6627i | 1.26753 | − | 1.17726i | ||||
\(405\) | 22.8021 | + | 8.08575i | 1.13304 | + | 0.401784i | ||||
\(406\) | 17.9679 | − | 14.7599i | 0.891734 | − | 0.732523i | ||||
\(407\) | −1.43571 | −0.0711656 | ||||||||
\(408\) | −33.4068 | + | 22.8128i | −1.65388 | + | 1.12940i | ||||
\(409\) | 9.54259 | − | 5.50941i | 0.471850 | − | 0.272423i | −0.245164 | − | 0.969482i | \(-0.578842\pi\) |
0.717014 | + | 0.697059i | \(0.245508\pi\) | |||||||
\(410\) | −0.515374 | + | 0.0172584i | −0.0254525 | + | 0.000852329i | ||||
\(411\) | −10.0628 | − | 5.80976i | −0.496362 | − | 0.286574i | ||||
\(412\) | −1.06429 | + | 3.45643i | −0.0524339 | + | 0.170286i | ||||
\(413\) | 9.39878 | + | 28.9971i | 0.462484 | + | 1.42686i | ||||
\(414\) | 6.90534 | + | 1.03906i | 0.339379 | + | 0.0510672i | ||||
\(415\) | −13.2817 | + | 11.3337i | −0.651971 | + | 0.556348i | ||||
\(416\) | −31.2431 | − | 7.09034i | −1.53182 | − | 0.347632i | ||||
\(417\) | −35.2327 | + | 20.3416i | −1.72536 | + | 0.996134i | ||||
\(418\) | −1.12180 | − | 0.894154i | −0.0548692 | − | 0.0437345i | ||||
\(419\) | − | 5.97226i | − | 0.291764i | −0.989302 | − | 0.145882i | \(-0.953398\pi\) | ||
0.989302 | − | 0.145882i | \(-0.0466020\pi\) | |||||||
\(420\) | −25.4519 | − | 8.60526i | −1.24193 | − | 0.419894i | ||||
\(421\) | − | 20.0534i | − | 0.977344i | −0.872468 | − | 0.488672i | \(-0.837482\pi\) | ||
0.872468 | − | 0.488672i | \(-0.162518\pi\) | |||||||
\(422\) | 8.60858 | − | 10.8003i | 0.419059 | − | 0.525751i | ||||
\(423\) | −18.4602 | + | 10.6580i | −0.897564 | + | 0.518209i | ||||
\(424\) | 1.09510 | + | 14.4688i | 0.0531826 | + | 0.702665i | ||||
\(425\) | −29.4111 | + | 11.2606i | −1.42665 | + | 0.546221i | ||||
\(426\) | 0.387751 | − | 2.57689i | 0.0187866 | − | 0.124851i | ||||
\(427\) | 3.84028 | + | 3.46279i | 0.185844 | + | 0.167576i | ||||
\(428\) | 2.09700 | − | 6.81030i | 0.101363 | − | 0.329188i | ||||
\(429\) | 10.1251 | + | 5.84574i | 0.488845 | + | 0.282235i | ||||
\(430\) | 26.2115 | − | 0.877746i | 1.26403 | − | 0.0423287i | ||||
\(431\) | 21.7452 | − | 12.5546i | 1.04743 | − | 0.604734i | 0.125501 | − | 0.992093i | \(-0.459946\pi\) |
0.921929 | + | 0.387359i | \(0.126613\pi\) | |||||||
\(432\) | 6.90275 | − | 3.33262i | 0.332109 | − | 0.160341i | ||||
\(433\) | −15.4250 | −0.741276 | −0.370638 | − | 0.928777i | \(-0.620861\pi\) | ||||
−0.370638 | + | 0.928777i | \(0.620861\pi\) | |||||||
\(434\) | −3.73620 | + | 9.94091i | −0.179343 | + | 0.477179i | ||||
\(435\) | 10.5460 | − | 29.7399i | 0.505640 | − | 1.42592i | ||||
\(436\) | −2.71808 | − | 2.92649i | −0.130173 | − | 0.140153i | ||||
\(437\) | 2.21297 | − | 1.27766i | 0.105861 | − | 0.0611186i | ||||
\(438\) | 10.6601 | + | 27.1418i | 0.509361 | + | 1.29689i | ||||
\(439\) | −8.54597 | + | 14.8021i | −0.407877 | + | 0.706464i | −0.994652 | − | 0.103287i | \(-0.967064\pi\) |
0.586775 | + | 0.809750i | \(0.300397\pi\) | |||||||
\(440\) | −4.05178 | − | 4.07967i | −0.193161 | − | 0.194491i | ||||
\(441\) | 12.2228 | − | 8.85369i | 0.582040 | − | 0.421605i | ||||
\(442\) | 7.50653 | − | 49.8864i | 0.357049 | − | 2.37286i | ||||
\(443\) | 34.3644 | + | 19.8403i | 1.63270 | + | 0.942640i | 0.983256 | + | 0.182231i | \(0.0583320\pi\) |
0.649445 | + | 0.760409i | \(0.275001\pi\) | |||||||
\(444\) | 1.59935 | + | 6.99125i | 0.0759019 | + | 0.331790i | ||||
\(445\) | 31.5096 | − | 5.82584i | 1.49370 | − | 0.276171i | ||||
\(446\) | −19.5689 | − | 15.5977i | −0.926613 | − | 0.738574i | ||||
\(447\) | 16.1774i | 0.765166i | ||||||||
\(448\) | −18.9231 | + | 9.48241i | −0.894033 | + | 0.448002i | ||||
\(449\) | −7.32288 | −0.345588 | −0.172794 | − | 0.984958i | \(-0.555279\pi\) | ||||
−0.172794 | + | 0.984958i | \(0.555279\pi\) | |||||||
\(450\) | −14.8905 | + | 3.27203i | −0.701947 | + | 0.154245i | ||||
\(451\) | 0.128387 | − | 0.0741244i | 0.00604552 | − | 0.00349038i | ||||
\(452\) | 26.3690 | − | 6.03231i | 1.24030 | − | 0.283736i | ||||
\(453\) | −5.59865 | − | 3.23238i | −0.263048 | − | 0.151871i | ||||
\(454\) | 24.5162 | + | 3.68902i | 1.15060 | + | 0.173134i | ||||
\(455\) | 29.4637 | − | 15.9537i | 1.38128 | − | 0.747920i | ||||
\(456\) | −3.10445 | + | 6.45874i | −0.145379 | + | 0.302458i | ||||
\(457\) | 21.0598 | + | 12.1589i | 0.985137 | + | 0.568769i | 0.903817 | − | 0.427919i | \(-0.140753\pi\) |
0.0813202 | + | 0.996688i | \(0.474086\pi\) | |||||||
\(458\) | 3.57727 | + | 9.10810i | 0.167155 | + | 0.425594i | ||||
\(459\) | 6.03497 | + | 10.4529i | 0.281688 | + | 0.487898i | ||||
\(460\) | 9.40236 | − | 4.06111i | 0.438387 | − | 0.189350i | ||||
\(461\) | 16.3772 | 0.762764 | 0.381382 | − | 0.924417i | \(-0.375448\pi\) | ||||
0.381382 | + | 0.924417i | \(0.375448\pi\) | |||||||
\(462\) | 7.62037 | − | 1.26178i | 0.354532 | − | 0.0587033i | ||||
\(463\) | −1.64446 | −0.0764246 | −0.0382123 | − | 0.999270i | \(-0.512166\pi\) | ||||
−0.0382123 | + | 0.999270i | \(0.512166\pi\) | |||||||
\(464\) | −10.8079 | − | 22.3860i | −0.501744 | − | 1.03925i | ||||
\(465\) | 2.62009 | + | 14.1710i | 0.121504 | + | 0.657163i | ||||
\(466\) | −5.75994 | + | 2.26226i | −0.266824 | + | 0.104797i | ||||
\(467\) | 7.96501 | − | 13.7958i | 0.368577 | − | 0.638393i | −0.620767 | − | 0.783995i | \(-0.713179\pi\) |
0.989343 | + | 0.145602i | \(0.0465119\pi\) | |||||||
\(468\) | 7.18692 | − | 23.3405i | 0.332216 | − | 1.07891i | ||||
\(469\) | 5.74112 | + | 17.7125i | 0.265100 | + | 0.817887i | ||||
\(470\) | −14.7169 | + | 27.5831i | −0.678841 | + | 1.27231i | ||||
\(471\) | −25.8928 | − | 14.9492i | −1.19308 | − | 0.688824i | ||||
\(472\) | 32.4940 | − | 2.45937i | 1.49566 | − | 0.113202i | ||||
\(473\) | −6.52967 | + | 3.76991i | −0.300235 | + | 0.173341i | ||||
\(474\) | −28.4813 | − | 22.7015i | −1.30819 | − | 1.04272i | ||||
\(475\) | −3.51466 | + | 4.33257i | −0.161264 | + | 0.198792i | ||||
\(476\) | −17.0882 | − | 28.6151i | −0.783235 | − | 1.31157i | ||||
\(477\) | −11.0609 | −0.506445 | ||||||||
\(478\) | 15.6522 | + | 12.4759i | 0.715917 | + | 0.570635i | ||||
\(479\) | −13.4844 | − | 23.3556i | −0.616116 | − | 1.06714i | −0.990188 | − | 0.139745i | \(-0.955372\pi\) |
0.374071 | − | 0.927400i | \(-0.377962\pi\) | |||||||
\(480\) | −15.3525 | + | 24.2750i | −0.700743 | + | 1.10800i | ||||
\(481\) | −7.74563 | − | 4.47194i | −0.353170 | − | 0.203903i | ||||
\(482\) | −3.25907 | + | 21.6589i | −0.148447 | + | 0.986536i | ||||
\(483\) | −2.87022 | + | 13.4559i | −0.130599 | + | 0.612266i | ||||
\(484\) | −19.4460 | − | 5.98774i | −0.883908 | − | 0.272170i | ||||
\(485\) | 17.0056 | − | 14.5114i | 0.772186 | − | 0.658931i | ||||
\(486\) | 9.72942 | + | 24.7721i | 0.441335 | + | 1.12369i | ||||
\(487\) | −6.04240 | − | 10.4658i | −0.273808 | − | 0.474249i | 0.696026 | − | 0.718017i | \(-0.254950\pi\) |
−0.969834 | + | 0.243768i | \(0.921616\pi\) | |||||||
\(488\) | 4.56511 | − | 3.11741i | 0.206653 | − | 0.141119i | ||||
\(489\) | − | 39.0871i | − | 1.76758i | ||||||
\(490\) | 8.35103 | − | 20.5003i | 0.377261 | − | 0.926107i | ||||
\(491\) | 18.7339 | 0.845450 | 0.422725 | − | 0.906258i | \(-0.361074\pi\) | ||||
0.422725 | + | 0.906258i | \(0.361074\pi\) | |||||||
\(492\) | −0.503973 | − | 0.542614i | −0.0227208 | − | 0.0244629i | ||||
\(493\) | 33.8993 | − | 19.5718i | 1.52675 | − | 0.881468i | ||||
\(494\) | −3.26700 | − | 8.31813i | −0.146989 | − | 0.374250i | ||||
\(495\) | 3.33412 | − | 2.84511i | 0.149858 | − | 0.127878i | ||||
\(496\) | 9.38669 | + | 6.38612i | 0.421475 | + | 0.286745i | ||||
\(497\) | 2.09976 | + | 0.447890i | 0.0941872 | + | 0.0200906i | ||||
\(498\) | −24.7956 | − | 3.73105i | −1.11112 | − | 0.167192i | ||||
\(499\) | 12.4806 | − | 21.6171i | 0.558710 | − | 0.967714i | −0.438895 | − | 0.898539i | \(-0.644630\pi\) |
0.997605 | − | 0.0691754i | \(-0.0220368\pi\) | |||||||
\(500\) | −16.0004 | + | 15.6201i | −0.715558 | + | 0.698554i | ||||
\(501\) | 0.562043 | − | 0.324496i | 0.0251102 | − | 0.0144974i | ||||
\(502\) | −6.77936 | − | 5.40361i | −0.302578 | − | 0.241175i | ||||
\(503\) | − | 13.3328i | − | 0.594481i | −0.954803 | − | 0.297241i | \(-0.903934\pi\) | ||
0.954803 | − | 0.297241i | \(-0.0960663\pi\) | |||||||
\(504\) | −6.11907 | − | 14.9293i | −0.272565 | − | 0.665003i | ||||
\(505\) | 36.6394 | + | 12.9926i | 1.63043 | + | 0.578161i | ||||
\(506\) | −1.83527 | + | 2.30253i | −0.0815879 | + | 0.102360i | ||||
\(507\) | 21.6570 | + | 37.5110i | 0.961821 | + | 1.66592i | ||||
\(508\) | 0.601916 | + | 2.63116i | 0.0267057 | + | 0.116739i | ||||
\(509\) | −3.32935 | + | 5.76661i | −0.147571 | + | 0.255600i | −0.930329 | − | 0.366726i | \(-0.880479\pi\) |
0.782758 | + | 0.622326i | \(0.213812\pi\) | |||||||
\(510\) | −39.9033 | − | 21.2903i | −1.76695 | − | 0.942750i | ||||
\(511\) | −22.8545 | + | 7.40778i | −1.01102 | + | 0.327701i | ||||
\(512\) | 5.08424 | + | 22.0488i | 0.224694 | + | 0.974429i | ||||
\(513\) | 1.85169 | + | 1.06907i | 0.0817542 | + | 0.0472008i | ||||
\(514\) | −3.31963 | − | 8.45213i | −0.146423 | − | 0.372808i | ||||
\(515\) | −3.97607 | + | 0.735139i | −0.175206 | + | 0.0323941i | ||||
\(516\) | 25.6317 | + | 27.5969i | 1.12837 | + | 1.21489i | ||||
\(517\) | − | 8.98804i | − | 0.395294i | ||||||
\(518\) | −5.82952 | + | 0.965251i | −0.256134 | + | 0.0424107i | ||||
\(519\) | 43.7457i | 1.92022i | ||||||||
\(520\) | −9.15193 | − | 34.6302i | −0.401339 | − | 1.51863i | ||||
\(521\) | 6.14654 | − | 3.54871i | 0.269285 | − | 0.155472i | −0.359278 | − | 0.933231i | \(-0.616977\pi\) |
0.628563 | + | 0.777759i | \(0.283644\pi\) | |||||||
\(522\) | 17.6378 | − | 6.92736i | 0.771985 | − | 0.303202i | ||||
\(523\) | 8.40071 | − | 14.5505i | 0.367337 | − | 0.636247i | −0.621811 | − | 0.783167i | \(-0.713603\pi\) |
0.989148 | + | 0.146920i | \(0.0469361\pi\) | |||||||
\(524\) | −4.81813 | + | 15.6475i | −0.210481 | + | 0.683564i | ||||
\(525\) | −4.65211 | − | 29.6761i | −0.203035 | − | 1.29517i | ||||
\(526\) | −9.03436 | − | 1.35942i | −0.393917 | − | 0.0592736i | ||||
\(527\) | −8.93858 | + | 15.4821i | −0.389371 | + | 0.674410i | ||||
\(528\) | 0.608919 | − | 8.23495i | 0.0264998 | − | 0.358380i | ||||
\(529\) | 8.87758 | + | 15.3764i | 0.385982 | + | 0.668540i | ||||
\(530\) | −13.7700 | + | 8.57708i | −0.598132 | + | 0.372564i | ||||
\(531\) | 24.8407i | 1.07800i | ||||||||
\(532\) | −5.15609 | − | 2.87639i | −0.223545 | − | 0.124707i | ||||
\(533\) | 0.923529 | 0.0400025 | ||||||||
\(534\) | 35.9857 | + | 28.6831i | 1.55725 | + | 1.24124i | ||||
\(535\) | 7.83415 | − | 1.44847i | 0.338700 | − | 0.0626226i | ||||
\(536\) | 19.8485 | − | 1.50227i | 0.857325 | − | 0.0648884i | ||||
\(537\) | 1.59336 | − | 2.75978i | 0.0687585 | − | 0.119093i | ||||
\(538\) | 2.11264 | + | 0.317894i | 0.0910824 | + | 0.0137054i | ||||
\(539\) | 0.656142 | + | 6.32998i | 0.0282621 | + | 0.272652i | ||||
\(540\) | 6.87655 | + | 5.11430i | 0.295920 | + | 0.220084i | ||||
\(541\) | 14.2808 | + | 8.24501i | 0.613979 | + | 0.354481i | 0.774521 | − | 0.632548i | \(-0.217991\pi\) |
−0.160542 | + | 0.987029i | \(0.551324\pi\) | |||||||
\(542\) | −8.95721 | − | 22.8060i | −0.384745 | − | 0.979601i | ||||
\(543\) | 17.4637 | + | 30.2481i | 0.749441 | + | 1.29807i | ||||
\(544\) | −34.0343 | + | 10.5444i | −1.45921 | + | 0.452087i | ||||
\(545\) | 1.49243 | − | 4.20869i | 0.0639285 | − | 0.180280i | ||||
\(546\) | 45.0419 | + | 16.9286i | 1.92762 | + | 0.724477i | ||||
\(547\) | 4.86184i | 0.207877i | 0.994584 | + | 0.103939i | \(0.0331446\pi\) | ||||
−0.994584 | + | 0.103939i | \(0.966855\pi\) | |||||||
\(548\) | −6.96481 | − | 7.49883i | −0.297522 | − | 0.320334i | ||||
\(549\) | 2.10696 | + | 3.64936i | 0.0899229 | + | 0.155751i | ||||
\(550\) | 1.94452 | − | 6.12736i | 0.0829147 | − | 0.261272i | ||||
\(551\) | 3.46707 | − | 6.00515i | 0.147702 | − | 0.255828i | ||||
\(552\) | 13.2567 | + | 6.37197i | 0.564244 | + | 0.271209i | ||||
\(553\) | 20.0951 | − | 22.2858i | 0.854532 | − | 0.947688i | ||||
\(554\) | 16.1575 | + | 2.43126i | 0.686467 | + | 0.103294i | ||||
\(555\) | −6.09948 | + | 5.20488i | −0.258909 | + | 0.220935i | ||||
\(556\) | −34.9309 | + | 7.99095i | −1.48140 | + | 0.338892i | ||||
\(557\) | −11.4750 | − | 19.8753i | −0.486211 | − | 0.842142i | 0.513663 | − | 0.857992i | \(-0.328288\pi\) |
−0.999874 | + | 0.0158495i | \(0.994955\pi\) | |||||||
\(558\) | −5.39422 | + | 6.76757i | −0.228355 | + | 0.286494i | ||||
\(559\) | −46.9699 | −1.98662 | ||||||||
\(560\) | −19.1945 | − | 13.8409i | −0.811117 | − | 0.584884i | ||||
\(561\) | 13.0026 | 0.548970 | ||||||||
\(562\) | −14.6788 | + | 18.4160i | −0.619187 | + | 0.776831i | ||||
\(563\) | 7.57987 | + | 13.1287i | 0.319453 | + | 0.553309i | 0.980374 | − | 0.197146i | \(-0.0631674\pi\) |
−0.660921 | + | 0.750456i | \(0.729834\pi\) | |||||||
\(564\) | −43.7676 | + | 10.0125i | −1.84295 | + | 0.421602i | ||||
\(565\) | 19.6313 | + | 23.0055i | 0.825897 | + | 0.967849i | ||||
\(566\) | −31.8205 | − | 4.78810i | −1.33751 | − | 0.201259i | ||||
\(567\) | −27.2311 | + | 8.82638i | −1.14360 | + | 0.370673i | ||||
\(568\) | 0.994330 | − | 2.06868i | 0.0417212 | − | 0.0867998i | ||||
\(569\) | 0.815340 | − | 1.41221i | 0.0341808 | − | 0.0592030i | −0.848429 | − | 0.529309i | \(-0.822451\pi\) |
0.882610 | + | 0.470106i | \(0.155784\pi\) | |||||||
\(570\) | −8.00745 | + | 0.268146i | −0.335395 | + | 0.0112314i | ||||
\(571\) | 17.5826 | + | 30.4540i | 0.735811 | + | 1.27446i | 0.954367 | + | 0.298637i | \(0.0965320\pi\) |
−0.218556 | + | 0.975824i | \(0.570135\pi\) | |||||||
\(572\) | 7.00794 | + | 7.54527i | 0.293017 | + | 0.315483i | ||||
\(573\) | − | 51.0202i | − | 2.13140i | ||||||
\(574\) | 0.471465 | − | 0.387289i | 0.0196785 | − | 0.0161651i | ||||
\(575\) | 8.89271 | + | 7.21394i | 0.370852 | + | 0.300842i | ||||
\(576\) | −17.0522 | + | 2.59613i | −0.710507 | + | 0.108172i | ||||
\(577\) | −7.78749 | − | 13.4883i | −0.324198 | − | 0.561527i | 0.657152 | − | 0.753758i | \(-0.271761\pi\) |
−0.981350 | + | 0.192231i | \(0.938428\pi\) | |||||||
\(578\) | −11.7216 | − | 29.8444i | −0.487555 | − | 1.24136i | ||||
\(579\) | 32.5699 | + | 18.8042i | 1.35356 | + | 0.781477i | ||||
\(580\) | 16.5860 | − | 22.3011i | 0.688695 | − | 0.926001i | ||||
\(581\) | 4.30973 | − | 20.2045i | 0.178798 | − | 0.838225i | ||||
\(582\) | 31.7479 | + | 4.77718i | 1.31599 | + | 0.198021i | ||||
\(583\) | 2.33196 | − | 4.03908i | 0.0965801 | − | 0.167282i | ||||
\(584\) | 1.93839 | + | 25.6106i | 0.0802112 | + | 1.05977i | ||||
\(585\) | 26.8495 | − | 4.96423i | 1.11009 | − | 0.205246i | ||||
\(586\) | −9.58049 | − | 7.63630i | −0.395766 | − | 0.315453i | ||||
\(587\) | −17.6761 | −0.729572 | −0.364786 | − | 0.931091i | \(-0.618858\pi\) | ||||
−0.364786 | + | 0.931091i | \(0.618858\pi\) | |||||||
\(588\) | 30.0932 | − | 10.2466i | 1.24102 | − | 0.422562i | ||||
\(589\) | 3.16688i | 0.130489i | ||||||||
\(590\) | 19.2625 | + | 30.9248i | 0.793023 | + | 1.27315i | ||||
\(591\) | −18.3182 | − | 31.7281i | −0.753511 | − | 1.30512i | ||||
\(592\) | −0.465818 | + | 6.29967i | −0.0191450 | + | 0.258915i | ||||
\(593\) | −4.15344 | + | 7.19397i | −0.170561 | + | 0.295421i | −0.938616 | − | 0.344963i | \(-0.887891\pi\) |
0.768055 | + | 0.640384i | \(0.221225\pi\) | |||||||
\(594\) | −2.43634 | − | 0.366602i | −0.0999644 | − | 0.0150419i | ||||
\(595\) | 19.5064 | − | 31.7496i | 0.799685 | − | 1.30161i | ||||
\(596\) | −4.19317 | + | 13.6179i | −0.171759 | + | 0.557810i | ||||
\(597\) | 24.7810 | − | 42.9220i | 1.01422 | − | 1.75668i | ||||
\(598\) | −17.0732 | + | 6.70561i | −0.698174 | + | 0.274213i | ||||
\(599\) | −1.64713 | + | 0.950974i | −0.0673001 | + | 0.0388557i | −0.533272 | − | 0.845944i | \(-0.679038\pi\) |
0.465972 | + | 0.884799i | \(0.345705\pi\) | |||||||
\(600\) | −32.0036 | − | 2.64317i | −1.30654 | − | 0.107907i | ||||
\(601\) | − | 3.61199i | − | 0.147336i | −0.997283 | − | 0.0736680i | \(-0.976529\pi\) | ||
0.997283 | − | 0.0736680i | \(-0.0234705\pi\) | |||||||
\(602\) | −23.9783 | + | 19.6972i | −0.977283 | + | 0.802799i | ||||
\(603\) | 15.1736i | 0.617917i | ||||||||
\(604\) | −3.87502 | − | 4.17213i | −0.157672 | − | 0.169762i | ||||
\(605\) | −4.13592 | − | 22.3695i | −0.168149 | − | 0.909448i | ||||
\(606\) | 20.4094 | + | 51.9645i | 0.829076 | + | 2.11091i | ||||
\(607\) | −23.1622 | − | 13.3727i | −0.940124 | − | 0.542781i | −0.0501251 | − | 0.998743i | \(-0.515962\pi\) |
−0.889999 | + | 0.455962i | \(0.849295\pi\) | |||||||
\(608\) | −4.28738 | + | 4.63219i | −0.173876 | + | 0.187860i | ||||
\(609\) | 11.5119 | + | 35.5166i | 0.466487 | + | 1.43921i | ||||
\(610\) | 5.45286 | + | 2.90936i | 0.220780 | + | 0.117797i | ||||
\(611\) | 27.9959 | − | 48.4903i | 1.13259 | − | 1.96171i | ||||
\(612\) | −6.05693 | − | 26.4767i | −0.244837 | − | 1.07026i | ||||
\(613\) | 4.16951 | + | 7.22180i | 0.168405 | + | 0.291686i | 0.937859 | − | 0.347016i | \(-0.112805\pi\) |
−0.769454 | + | 0.638702i | \(0.779472\pi\) | |||||||
\(614\) | 10.3011 | − | 12.9237i | 0.415718 | − | 0.521559i | ||||
\(615\) | 0.276718 | − | 0.780352i | 0.0111583 | − | 0.0314668i | ||||
\(616\) | 6.74175 | + | 0.913046i | 0.271633 | + | 0.0367877i | ||||
\(617\) | 24.3929i | 0.982021i | 0.871154 | + | 0.491011i | \(0.163372\pi\) | ||||
−0.871154 | + | 0.491011i | \(0.836628\pi\) | |||||||
\(618\) | −4.54089 | − | 3.61940i | −0.182662 | − | 0.145594i | ||||
\(619\) | −35.5991 | + | 20.5532i | −1.43085 | + | 0.826102i | −0.997186 | − | 0.0749730i | \(-0.976113\pi\) |
−0.433664 | + | 0.901075i | \(0.642780\pi\) | |||||||
\(620\) | −1.46756 | + | 12.6080i | −0.0589385 | + | 0.506350i | ||||
\(621\) | 2.19430 | − | 3.80064i | 0.0880543 | − | 0.152515i | ||||
\(622\) | 15.8494 | + | 2.38490i | 0.635503 | + | 0.0956257i | ||||
\(623\) | −25.3899 | + | 28.1578i | −1.01723 | + | 1.12812i | ||||
\(624\) | 28.9353 | − | 42.5307i | 1.15834 | − | 1.70259i | ||||
\(625\) | −23.7630 | − | 7.76660i | −0.950520 | − | 0.310664i | ||||
\(626\) | 13.1330 | + | 33.4379i | 0.524899 | + | 1.33645i | ||||
\(627\) | 1.99477 | − | 1.15168i | 0.0796636 | − | 0.0459938i | ||||
\(628\) | −17.9213 | − | 19.2954i | −0.715138 | − | 0.769970i | ||||
\(629\) | −9.94688 | −0.396608 | ||||||||
\(630\) | 11.6250 | − | 13.7938i | 0.463149 | − | 0.549558i | ||||
\(631\) | 35.0578i | 1.39563i | 0.716279 | + | 0.697814i | \(0.245844\pi\) | ||||
−0.716279 | + | 0.697814i | \(0.754156\pi\) | |||||||
\(632\) | −18.0908 | − | 26.4921i | −0.719615 | − | 1.05380i | ||||
\(633\) | 11.0880 | + | 19.2049i | 0.440707 | + | 0.763327i | ||||
\(634\) | −12.3181 | − | 31.3632i | −0.489214 | − | 1.24559i | ||||
\(635\) | −2.29554 | + | 1.95886i | −0.0910957 | + | 0.0777349i | ||||
\(636\) | −22.2662 | − | 6.85614i | −0.882913 | − | 0.271864i | ||||
\(637\) | −16.1767 | + | 36.1939i | −0.640945 | + | 1.43405i | ||||
\(638\) | −1.18891 | + | 7.90121i | −0.0470696 | + | 0.312812i | ||||
\(639\) | 1.51523 | + | 0.874819i | 0.0599416 | + | 0.0346073i | ||||
\(640\) | −19.2155 | + | 16.4549i | −0.759560 | + | 0.650437i | ||||
\(641\) | −3.51329 | − | 6.08519i | −0.138766 | − | 0.240351i | 0.788264 | − | 0.615338i | \(-0.210980\pi\) |
−0.927030 | + | 0.374987i | \(0.877647\pi\) | |||||||
\(642\) | 8.94705 | + | 7.13141i | 0.353112 | + | 0.281454i | ||||
\(643\) | −4.42331 | −0.174438 | −0.0872191 | − | 0.996189i | \(-0.527798\pi\) | ||||
−0.0872191 | + | 0.996189i | \(0.527798\pi\) | |||||||
\(644\) | −5.90386 | + | 10.5830i | −0.232645 | + | 0.417029i | ||||
\(645\) | −14.0736 | + | 39.6881i | −0.554149 | + | 1.56272i | ||||
\(646\) | −7.77207 | − | 6.19487i | −0.305788 | − | 0.243734i | ||||
\(647\) | 0.327418 | − | 0.189035i | 0.0128721 | − | 0.00743172i | −0.493550 | − | 0.869717i | \(-0.664301\pi\) |
0.506422 | + | 0.862286i | \(0.330968\pi\) | |||||||
\(648\) | 2.30959 | + | 30.5150i | 0.0907294 | + | 1.19874i | ||||
\(649\) | −9.07099 | − | 5.23714i | −0.356067 | − | 0.205576i | ||||
\(650\) | 29.5761 | − | 27.0002i | 1.16007 | − | 1.05904i | ||||
\(651\) | −12.6636 | − | 11.4188i | −0.496324 | − | 0.447536i | ||||
\(652\) | 10.1313 | − | 32.9029i | 0.396774 | − | 1.28858i | ||||
\(653\) | −22.4109 | + | 38.8168i | −0.877005 | + | 1.51902i | −0.0223938 | + | 0.999749i | \(0.507129\pi\) |
−0.854611 | + | 0.519268i | \(0.826205\pi\) | |||||||
\(654\) | 5.96905 | − | 2.34439i | 0.233408 | − | 0.0916727i | ||||
\(655\) | −17.9999 | + | 3.32803i | −0.703315 | + | 0.130037i | ||||
\(656\) | −0.283591 | − | 0.587392i | −0.0110724 | − | 0.0229338i | ||||
\(657\) | −19.5786 | −0.763832 | ||||||||
\(658\) | −6.04280 | − | 36.4948i | −0.235573 | − | 1.42271i | ||||
\(659\) | −24.4018 | −0.950557 | −0.475279 | − | 0.879835i | \(-0.657653\pi\) | ||||
−0.475279 | + | 0.879835i | \(0.657653\pi\) | |||||||
\(660\) | 8.47531 | − | 3.66070i | 0.329901 | − | 0.142492i | ||||
\(661\) | 14.4940 | + | 25.1043i | 0.563751 | + | 0.976445i | 0.997165 | + | 0.0752499i | \(0.0239754\pi\) |
−0.433414 | + | 0.901195i | \(0.642691\pi\) | |||||||
\(662\) | −2.43167 | − | 6.19128i | −0.0945095 | − | 0.240631i | ||||
\(663\) | 70.1487 | + | 40.5004i | 2.72435 | + | 1.57290i | ||||
\(664\) | −19.9054 | − | 9.56773i | −0.772480 | − | 0.371300i | ||||
\(665\) | 0.180379 | − | 6.59857i | 0.00699479 | − | 0.255881i | ||||
\(666\) | −4.76168 | − | 0.716502i | −0.184511 | − | 0.0277639i | ||||
\(667\) | −12.3257 | − | 7.11626i | −0.477254 | − | 0.275543i | ||||
\(668\) | 0.557227 | − | 0.127474i | 0.0215598 | − | 0.00493211i | ||||
\(669\) | 34.7971 | − | 20.0901i | 1.34533 | − | 0.776728i | ||||
\(670\) | 11.7662 | + | 18.8900i | 0.454568 | + | 0.729784i | ||||
\(671\) | −1.77683 | −0.0685938 | ||||||||
\(672\) | −3.06405 | − | 33.8463i | −0.118198 | − | 1.30565i | ||||
\(673\) | 1.93910i | 0.0747467i | 0.999301 | + | 0.0373733i | \(0.0118991\pi\) | ||||
−0.999301 | + | 0.0373733i | \(0.988101\pi\) | |||||||
\(674\) | −11.0982 | − | 8.84605i | −0.427488 | − | 0.340737i | ||||
\(675\) | −1.50706 | + | 9.46216i | −0.0580068 | + | 0.364199i | ||||
\(676\) | 8.50767 | + | 37.1896i | 0.327218 | + | 1.43037i | ||||
\(677\) | 36.9976 | + | 21.3606i | 1.42193 | + | 0.820954i | 0.996464 | − | 0.0840182i | \(-0.0267754\pi\) |
0.425470 | + | 0.904972i | \(0.360109\pi\) | |||||||
\(678\) | −6.46265 | + | 42.9491i | −0.248197 | + | 1.64945i | ||||
\(679\) | −5.51811 | + | 25.8695i | −0.211766 | + | 0.992782i | ||||
\(680\) | −28.0715 | − | 28.2647i | −1.07649 | − | 1.08390i | ||||
\(681\) | −19.9035 | + | 34.4739i | −0.762705 | + | 1.32104i | ||||
\(682\) | −1.33403 | − | 3.39659i | −0.0510828 | − | 0.130062i | ||||
\(683\) | 32.6952 | − | 18.8766i | 1.25105 | − | 0.722293i | 0.279730 | − | 0.960079i | \(-0.409755\pi\) |
0.971318 | + | 0.237786i | \(0.0764217\pi\) | |||||||
\(684\) | −3.27434 | − | 3.52540i | −0.125198 | − | 0.134797i | ||||
\(685\) | 3.82419 | − | 10.7843i | 0.146115 | − | 0.412048i | ||||
\(686\) | 6.91993 | + | 25.2609i | 0.264204 | + | 0.964467i | ||||
\(687\) | −15.7117 | −0.599440 | ||||||||
\(688\) | 14.4232 | + | 29.8743i | 0.549879 | + | 1.13895i | ||||
\(689\) | 25.1618 | − | 14.5272i | 0.958588 | − | 0.553441i | ||||
\(690\) | 0.550376 | + | 16.4355i | 0.0209525 | + | 0.625689i | ||||
\(691\) | 17.4603 | + | 10.0807i | 0.664220 | + | 0.383487i | 0.793883 | − | 0.608071i | \(-0.208056\pi\) |
−0.129663 | + | 0.991558i | \(0.541390\pi\) | |||||||
\(692\) | −11.3388 | + | 36.8244i | −0.431038 | + | 1.39985i | ||||
\(693\) | −1.08188 | + | 5.07198i | −0.0410972 | + | 0.192669i | ||||
\(694\) | 1.66758 | − | 11.0823i | 0.0633003 | − | 0.420677i | ||||
\(695\) | −26.0055 | − | 30.4752i | −0.986444 | − | 1.15599i | ||||
\(696\) | 39.7997 | − | 3.01232i | 1.50860 | − | 0.114182i | ||||
\(697\) | 0.889491 | − | 0.513548i | 0.0336919 | − | 0.0194520i | ||||
\(698\) | 5.34816 | − | 6.70979i | 0.202431 | − | 0.253969i | ||||
\(699\) | − | 9.93606i | − | 0.375816i | ||||||
\(700\) | 3.77595 | − | 26.1867i | 0.142718 | − | 0.989763i | ||||
\(701\) | 20.2036i | 0.763080i | 0.924352 | + | 0.381540i | \(0.124606\pi\) | ||||
−0.924352 | + | 0.381540i | \(0.875394\pi\) | |||||||
\(702\) | −12.0021 | − | 9.56652i | −0.452991 | − | 0.361065i | ||||
\(703\) | −1.52599 | + | 0.881028i | −0.0575536 | + | 0.0332286i | ||||
\(704\) | 2.64707 | − | 6.77421i | 0.0997652 | − | 0.255313i | ||||
\(705\) | −32.5843 | − | 38.1848i | −1.22720 | − | 1.43812i | ||||
\(706\) | 48.4704 | + | 7.29345i | 1.82421 | + | 0.274493i | ||||
\(707\) | −43.7562 | + | 14.1826i | −1.64562 | + | 0.533392i | ||||
\(708\) | −15.3976 | + | 50.0056i | −0.578676 | + | 1.87933i | ||||
\(709\) | 11.7495 | + | 6.78358i | 0.441262 | + | 0.254763i | 0.704133 | − | 0.710068i | \(-0.251336\pi\) |
−0.262871 | + | 0.964831i | \(0.584669\pi\) | |||||||
\(710\) | 2.56472 | − | 0.0858848i | 0.0962522 | − | 0.00322320i | ||||
\(711\) | 21.1778 | − | 12.2270i | 0.794231 | − | 0.458549i | ||||
\(712\) | 22.8575 | + | 33.4724i | 0.856623 | + | 1.25443i | ||||
\(713\) | 6.50010 | 0.243431 | ||||||||
\(714\) | 52.7953 | − | 8.74185i | 1.97582 | − | 0.327155i | ||||
\(715\) | −3.84787 | + | 10.8511i | −0.143902 | + | 0.405809i | ||||
\(716\) | 2.05659 | − | 1.91014i | 0.0768585 | − | 0.0713852i | ||||
\(717\) | −27.8326 | + | 16.0691i | −1.03943 | + | 0.600113i | ||||
\(718\) | 6.78912 | − | 2.66648i | 0.253368 | − | 0.0995120i | ||||
\(719\) | 20.1941 | − | 34.9772i | 0.753113 | − | 1.30443i | −0.193194 | − | 0.981161i | \(-0.561885\pi\) |
0.946307 | − | 0.323270i | \(-0.104782\pi\) | |||||||
\(720\) | −11.4021 | − | 15.5527i | −0.424933 | − | 0.579615i | ||||
\(721\) | 3.20385 | − | 3.55312i | 0.119318 | − | 0.132325i | ||||
\(722\) | 24.8299 | + | 3.73621i | 0.924073 | + | 0.139047i | ||||
\(723\) | −30.4561 | − | 17.5838i | −1.13267 | − | 0.653950i | ||||
\(724\) | 6.86040 | + | 29.9889i | 0.254965 | + | 1.11453i | ||||
\(725\) | 30.6864 | + | 4.88749i | 1.13966 | + | 0.181517i | ||||
\(726\) | 20.3629 | − | 25.5472i | 0.755737 | − | 0.948146i | ||||
\(727\) | 7.15590i | 0.265397i | 0.991156 | + | 0.132699i | \(0.0423643\pi\) | ||||
−0.991156 | + | 0.132699i | \(0.957636\pi\) | |||||||
\(728\) | 33.5276 | + | 25.9250i | 1.24262 | + | 0.960845i | ||||
\(729\) | −10.2739 | −0.380516 | ||||||||
\(730\) | −24.3738 | + | 15.1820i | −0.902116 | + | 0.561910i | ||||
\(731\) | −45.2388 | + | 26.1186i | −1.67322 | + | 0.966033i | ||||
\(732\) | 1.97935 | + | 8.65235i | 0.0731590 | + | 0.319800i | ||||
\(733\) | −24.8024 | − | 14.3197i | −0.916097 | − | 0.528909i | −0.0337089 | − | 0.999432i | \(-0.510732\pi\) |
−0.882388 | + | 0.470523i | \(0.844065\pi\) | |||||||
\(734\) | −3.04258 | + | 20.2202i | −0.112304 | + | 0.746340i | ||||
\(735\) | 25.7356 | + | 24.5136i | 0.949273 | + | 0.904198i | ||||
\(736\) | 9.50768 | + | 8.79995i | 0.350458 | + | 0.324370i | ||||
\(737\) | −5.54089 | − | 3.19903i | −0.204101 | − | 0.117838i | ||||
\(738\) | 0.462802 | − | 0.181769i | 0.0170360 | − | 0.00669099i | ||||
\(739\) | −16.4535 | − | 28.4983i | −0.605252 | − | 1.04833i | −0.992012 | − | 0.126147i | \(-0.959739\pi\) |
0.386760 | − | 0.922181i | \(-0.373594\pi\) | |||||||
\(740\) | −6.48354 | + | 2.80040i | −0.238340 | + | 0.102945i | ||||
\(741\) | 14.3490 | 0.527124 | ||||||||
\(742\) | 6.75310 | − | 17.9680i | 0.247914 | − | 0.659625i | ||||
\(743\) | −22.3184 | −0.818782 | −0.409391 | − | 0.912359i | \(-0.634259\pi\) | ||||
−0.409391 | + | 0.912359i | \(0.634259\pi\) | |||||||
\(744\) | −15.0537 | + | 10.2799i | −0.551896 | + | 0.376878i | ||||
\(745\) | −15.6652 | + | 2.89635i | −0.573928 | + | 0.106114i | ||||
\(746\) | 3.24251 | + | 8.25577i | 0.118717 | + | 0.302265i | ||||
\(747\) | 8.41776 | − | 14.5800i | 0.307990 | − | 0.533454i | ||||
\(748\) | 10.9454 | + | 3.37026i | 0.400202 | + | 0.123229i | ||||
\(749\) | −6.31264 | + | 7.00081i | −0.230659 | + | 0.255804i | ||||
\(750\) | −13.9524 | − | 33.0810i | −0.509470 | − | 1.20795i | ||||
\(751\) | 39.6036 | + | 22.8651i | 1.44516 | + | 0.834361i | 0.998187 | − | 0.0601891i | \(-0.0191704\pi\) |
0.446968 | + | 0.894550i | \(0.352504\pi\) | |||||||
\(752\) | −39.4381 | − | 2.91618i | −1.43816 | − | 0.106342i | ||||
\(753\) | 12.0549 | − | 6.95993i | 0.439307 | − | 0.253634i | ||||
\(754\) | −31.0248 | + | 38.9236i | −1.12986 | + | 1.41752i | ||||
\(755\) | 2.12767 | − | 6.00009i | 0.0774338 | − | 0.218366i | ||||
\(756\) | −10.1389 | + | 0.149451i | −0.368749 | + | 0.00543547i | ||||
\(757\) | −28.8916 | −1.05008 | −0.525042 | − | 0.851076i | \(-0.675950\pi\) | ||||
−0.525042 | + | 0.851076i | \(0.675950\pi\) | |||||||
\(758\) | 21.5925 | − | 27.0899i | 0.784275 | − | 0.983949i | ||||
\(759\) | −2.36386 | − | 4.09432i | −0.0858027 | − | 0.148615i | ||||
\(760\) | −6.81004 | − | 1.84980i | −0.247026 | − | 0.0670994i | ||||
\(761\) | 27.9186 | + | 16.1188i | 1.01205 | + | 0.584306i | 0.911791 | − | 0.410655i | \(-0.134700\pi\) |
0.100258 | + | 0.994962i | \(0.468033\pi\) | |||||||
\(762\) | −4.28555 | − | 0.644857i | −0.155249 | − | 0.0233607i | ||||
\(763\) | 1.62913 | + | 5.02618i | 0.0589783 | + | 0.181960i | ||||
\(764\) | 13.2244 | − | 42.9480i | 0.478442 | − | 1.55380i | ||||
\(765\) | 23.0994 | − | 19.7115i | 0.835162 | − | 0.712670i | ||||
\(766\) | 11.3754 | − | 4.46775i | 0.411009 | − | 0.161426i | ||||
\(767\) | −32.6252 | − | 56.5085i | −1.17803 | − | 2.04040i | ||||
\(768\) | −35.9361 | − | 5.34368i | −1.29673 | − | 0.192823i | ||||
\(769\) | − | 8.89606i | − | 0.320800i | −0.987052 | − | 0.160400i | \(-0.948722\pi\) | ||
0.987052 | − | 0.160400i | \(-0.0512784\pi\) | |||||||
\(770\) | 2.58615 | + | 7.15317i | 0.0931984 | + | 0.257782i | ||||
\(771\) | 14.5802 | 0.525092 | ||||||||
\(772\) | 22.5427 | + | 24.2712i | 0.811331 | + | 0.873538i | ||||
\(773\) | −24.6869 | + | 14.2530i | −0.887925 | + | 0.512644i | −0.873263 | − | 0.487249i | \(-0.838001\pi\) |
−0.0146619 | + | 0.999893i | \(0.504667\pi\) | |||||||
\(774\) | −23.5377 | + | 9.24461i | −0.846046 | + | 0.332291i | ||||
\(775\) | −13.2532 | + | 5.07425i | −0.476068 | + | 0.182272i | ||||
\(776\) | 25.4866 | + | 12.2504i | 0.914915 | + | 0.439763i | ||||
\(777\) | 1.97920 | − | 9.27874i | 0.0710035 | − | 0.332873i | ||||
\(778\) | 2.02733 | − | 13.4731i | 0.0726832 | − | 0.483033i | ||||
\(779\) | 0.0909733 | − | 0.157570i | 0.00325946 | − | 0.00564554i | ||||
\(780\) | 57.1264 | + | 6.64945i | 2.04545 | + | 0.238089i | ||||
\(781\) | −0.638909 | + | 0.368874i | −0.0228620 | + | 0.0131994i | ||||
\(782\) | −12.7151 | + | 15.9524i | −0.454692 | + | 0.570456i | ||||
\(783\) | − | 11.9090i | − | 0.425593i | ||||||
\(784\) | 27.9878 | − | 0.825277i | 0.999566 | − | 0.0294742i | ||||
\(785\) | 9.84011 | − | 27.7494i | 0.351209 | − | 0.990419i | ||||
\(786\) | −20.5570 | − | 16.3853i | −0.733242 | − | 0.584444i | ||||
\(787\) | −21.7112 | − | 37.6050i | −0.773922 | − | 1.34047i | −0.935398 | − | 0.353595i | \(-0.884959\pi\) |
0.161477 | − | 0.986877i | \(-0.448374\pi\) | |||||||
\(788\) | −7.19608 | − | 31.4562i | −0.256350 | − | 1.12058i | ||||
\(789\) | 7.33456 | − | 12.7038i | 0.261117 | − | 0.452269i | ||||
\(790\) | 16.8835 | − | 31.6438i | 0.600688 | − | 1.12584i | ||||
\(791\) | −34.9968 | − | 7.46500i | −1.24434 | − | 0.265425i | ||||
\(792\) | 4.99690 | + | 2.40181i | 0.177557 | + | 0.0853445i | ||||
\(793\) | −9.58597 | − | 5.53446i | −0.340408 | − | 0.196535i | ||||
\(794\) | 20.5705 | − | 8.07921i | 0.730020 | − | 0.286720i | ||||
\(795\) | −4.73575 | − | 25.6137i | −0.167960 | − | 0.908425i | ||||
\(796\) | 31.9856 | − | 29.7078i | 1.13370 | − | 1.05296i | ||||
\(797\) | − | 11.3329i | − | 0.401432i | −0.979649 | − | 0.200716i | \(-0.935673\pi\) | ||
0.979649 | − | 0.200716i | \(-0.0643268\pi\) | |||||||
\(798\) | 7.32522 | − | 6.01738i | 0.259310 | − | 0.213013i | ||||
\(799\) | − | 62.2708i | − | 2.20298i | ||||||
\(800\) | −26.2550 | − | 10.5203i | −0.928254 | − | 0.371948i | ||||
\(801\) | −26.7579 | + | 15.4487i | −0.945444 | + | 0.545853i | ||||
\(802\) | −13.8792 | − | 35.3380i | −0.490093 | − | 1.24783i | ||||
\(803\) | 4.12772 | − | 7.14942i | 0.145664 | − | 0.252298i | ||||
\(804\) | −9.40539 | + | 30.5452i | −0.331702 | + | 1.07725i | ||||
\(805\) | −13.5437 | − | 0.370232i | −0.477354 | − | 0.0130490i | ||||
\(806\) | 3.38258 | − | 22.4797i | 0.119146 | − | 0.791815i | ||||
\(807\) | −1.71515 | + | 2.97073i | −0.0603762 | + | 0.104575i | ||||
\(808\) | 3.71116 | + | 49.0329i | 0.130558 | + | 1.72497i | ||||
\(809\) | −27.3202 | − | 47.3199i | −0.960526 | − | 1.66368i | −0.721183 | − | 0.692745i | \(-0.756401\pi\) |
−0.239343 | − | 0.970935i | \(-0.576932\pi\) | |||||||
\(810\) | −29.0414 | + | 18.0893i | −1.02041 | + | 0.635594i | ||||
\(811\) | 34.1338i | 1.19860i | 0.800525 | + | 0.599300i | \(0.204554\pi\) | ||||
−0.800525 | + | 0.599300i | \(0.795446\pi\) | |||||||
\(812\) | 0.484678 | + | 32.8812i | 0.0170089 | + | 1.15390i | ||||
\(813\) | 39.3410 | 1.37975 | ||||||||
\(814\) | 1.26554 | − | 1.58775i | 0.0443572 | − | 0.0556505i | ||||
\(815\) | 37.8494 | − | 6.99803i | 1.32581 | − | 0.245130i | ||||
\(816\) | 4.21871 | − | 57.0533i | 0.147684 | − | 1.99726i | ||||
\(817\) | −4.62683 | + | 8.01390i | −0.161872 | + | 0.280371i | ||||
\(818\) | −2.31870 | + | 15.4095i | −0.0810716 | + | 0.538781i | ||||
\(819\) | −21.6349 | + | 23.9934i | −0.755984 | + | 0.838398i | ||||
\(820\) | 0.435203 | − | 0.585163i | 0.0151979 | − | 0.0204348i | ||||
\(821\) | −21.4373 | − | 12.3768i | −0.748168 | − | 0.431955i | 0.0768637 | − | 0.997042i | \(-0.475509\pi\) |
−0.825032 | + | 0.565087i | \(0.808843\pi\) | |||||||
\(822\) | 15.2951 | − | 6.00725i | 0.533477 | − | 0.209527i | ||||
\(823\) | −12.2123 | − | 21.1523i | −0.425694 | − | 0.737324i | 0.570791 | − | 0.821096i | \(-0.306637\pi\) |
−0.996485 | + | 0.0837714i | \(0.973303\pi\) | |||||||
\(824\) | −2.88430 | − | 4.22375i | −0.100479 | − | 0.147141i | ||||
\(825\) | 8.01591 | + | 6.50266i | 0.279078 | + | 0.226394i | ||||
\(826\) | −40.3526 | − | 15.1661i | −1.40405 | − | 0.527698i | ||||
\(827\) | 20.7945i | 0.723096i | 0.932353 | + | 0.361548i | \(0.117752\pi\) | ||||
−0.932353 | + | 0.361548i | \(0.882248\pi\) | |||||||
\(828\) | −7.23597 | + | 6.72067i | −0.251467 | + | 0.233560i | ||||
\(829\) | −21.8195 | − | 37.7924i | −0.757822 | − | 1.31259i | −0.943959 | − | 0.330062i | \(-0.892930\pi\) |
0.186137 | − | 0.982524i | \(-0.440403\pi\) | |||||||
\(830\) | −0.826408 | − | 24.6785i | −0.0286850 | − | 0.856602i | ||||
\(831\) | −13.1175 | + | 22.7202i | −0.455041 | + | 0.788154i | ||||
\(832\) | 35.3812 | − | 28.3017i | 1.22662 | − | 0.981184i | ||||
\(833\) | 4.54588 | + | 43.8553i | 0.157505 | + | 1.51950i | ||||
\(834\) | 8.56103 | − | 56.8943i | 0.296444 | − | 1.97009i | ||||
\(835\) | 0.414847 | + | 0.486150i | 0.0143564 | + | 0.0168239i | ||||
\(836\) | 1.97768 | − | 0.452424i | 0.0683995 | − | 0.0156474i | ||||
\(837\) | 2.71947 | + | 4.71026i | 0.0939986 | + | 0.162810i | ||||
\(838\) | 6.60469 | + | 5.26439i | 0.228155 | + | 0.181855i | ||||
\(839\) | 25.4129 | 0.877351 | 0.438675 | − | 0.898646i | \(-0.355448\pi\) | ||||
0.438675 | + | 0.898646i | \(0.355448\pi\) | |||||||
\(840\) | 31.9517 | − | 20.5619i | 1.10244 | − | 0.709451i | ||||
\(841\) | −9.62161 | −0.331779 | ||||||||
\(842\) | 22.1770 | + | 17.6766i | 0.764269 | + | 0.609175i | ||||
\(843\) | −18.9065 | − | 32.7470i | −0.651174 | − | 1.12787i | ||||
\(844\) | 4.35577 | + | 19.0404i | 0.149932 | + | 0.655397i | ||||
\(845\) | −32.4459 | + | 27.6871i | −1.11617 | + | 0.952465i | ||||
\(846\) | 4.48554 | − | 29.8097i | 0.154216 | − | 1.02488i | ||||
\(847\) | 19.9900 | + | 18.0250i | 0.686863 | + | 0.619346i | ||||
\(848\) | −16.9662 | − | 11.5428i | −0.582623 | − | 0.396380i | ||||
\(849\) | 25.8335 | − | 44.7449i | 0.886603 | − | 1.53564i | ||||
\(850\) | 13.4720 | − | 42.4515i | 0.462086 | − | 1.45607i | ||||
\(851\) | 1.80833 | + | 3.13212i | 0.0619888 | + | 0.107368i | ||||
\(852\) | 2.50798 | + | 2.70027i | 0.0859220 | + | 0.0925099i | ||||
\(853\) | 3.10531i | 0.106324i | 0.998586 | + | 0.0531619i | \(0.0169299\pi\) | ||||
−0.998586 | + | 0.0531619i | \(0.983070\pi\) | |||||||
\(854\) | −7.21459 | + | 1.19459i | −0.246878 | + | 0.0408781i | ||||
\(855\) | 1.79785 | − | 5.07000i | 0.0614853 | − | 0.173390i | ||||
\(856\) | 5.68302 | + | 8.32217i | 0.194242 | + | 0.284446i | ||||
\(857\) | −11.1563 | − | 19.3233i | −0.381093 | − | 0.660072i | 0.610126 | − | 0.792304i | \(-0.291119\pi\) |
−0.991219 | + | 0.132233i | \(0.957785\pi\) | |||||||
\(858\) | −15.3898 | + | 6.04445i | −0.525399 | + | 0.206354i | ||||
\(859\) | 18.2253 | + | 10.5224i | 0.621838 | + | 0.359018i | 0.777584 | − | 0.628779i | \(-0.216445\pi\) |
−0.155746 | + | 0.987797i | \(0.549778\pi\) | |||||||
\(860\) | −22.1341 | + | 29.7609i | −0.754766 | + | 1.01484i | ||||
\(861\) | 0.302064 | + | 0.931928i | 0.0102943 | + | 0.0317600i | ||||
\(862\) | −5.28376 | + | 35.1145i | −0.179966 | + | 1.19600i | ||||
\(863\) | 17.4205 | − | 30.1732i | 0.593001 | − | 1.02711i | −0.400825 | − | 0.916155i | \(-0.631277\pi\) |
0.993826 | − | 0.110953i | \(-0.0353902\pi\) | |||||||
\(864\) | −2.39907 | + | 10.5713i | −0.0816179 | + | 0.359644i | ||||
\(865\) | −42.3605 | + | 7.83208i | −1.44030 | + | 0.266299i | ||||
\(866\) | 13.5967 | − | 17.0584i | 0.462034 | − | 0.579667i | ||||
\(867\) | 51.4825 | 1.74844 | ||||||||
\(868\) | −7.70024 | − | 12.8945i | −0.261363 | − | 0.437668i | ||||
\(869\) | 10.3112i | 0.349785i | ||||||||
\(870\) | 23.5933 | + | 37.8777i | 0.799886 | + | 1.28417i | ||||
\(871\) | −19.9286 | − | 34.5174i | −0.675256 | − | 1.16958i | ||||
\(872\) | 5.63231 | − | 0.426293i | 0.190734 | − | 0.0144361i | ||||
\(873\) | −10.7780 | + | 18.6680i | −0.364779 | + | 0.631816i | ||||
\(874\) | −0.537718 | + | 3.57353i | −0.0181886 | + | 0.120876i | ||||
\(875\) | 27.9036 | − | 9.81792i | 0.943312 | − | 0.331906i | ||||
\(876\) | −39.4126 | − | 12.1358i | −1.33163 | − | 0.410031i | ||||
\(877\) | −19.9212 | + | 34.5045i | −0.672691 | + | 1.16513i | 0.304448 | + | 0.952529i | \(0.401528\pi\) |
−0.977138 | + | 0.212605i | \(0.931805\pi\) | |||||||
\(878\) | −8.83647 | − | 22.4986i | −0.298216 | − | 0.759290i | ||||
\(879\) | 17.0359 | − | 9.83567i | 0.574606 | − | 0.331749i | ||||
\(880\) | 8.08322 | − | 0.884720i | 0.272485 | − | 0.0298239i | ||||
\(881\) | 32.2170i | 1.08542i | 0.839921 | + | 0.542709i | \(0.182601\pi\) | ||||
−0.839921 | + | 0.542709i | \(0.817399\pi\) | |||||||
\(882\) | −0.982859 | + | 21.3215i | −0.0330946 | + | 0.717932i | ||||
\(883\) | − | 57.8919i | − | 1.94822i | −0.226080 | − | 0.974109i | \(-0.572591\pi\) | ||
0.226080 | − | 0.974109i | \(-0.427409\pi\) | |||||||
\(884\) | 48.5524 | + | 52.2750i | 1.63299 | + | 1.75820i | ||||
\(885\) | −57.5234 | + | 10.6356i | −1.93363 | + | 0.357511i | ||||
\(886\) | −52.2326 | + | 20.5147i | −1.75479 | + | 0.689205i | ||||
\(887\) | −7.94580 | − | 4.58751i | −0.266794 | − | 0.154033i | 0.360636 | − | 0.932707i | \(-0.382560\pi\) |
−0.627430 | + | 0.778673i | \(0.715893\pi\) | |||||||
\(888\) | −9.14138 | − | 4.39389i | −0.306765 | − | 0.147449i | ||||
\(889\) | 0.744873 | − | 3.49205i | 0.0249822 | − | 0.117120i | ||||
\(890\) | −21.3321 | + | 39.9816i | −0.715053 | + | 1.34019i | ||||
\(891\) | 4.91818 | − | 8.51854i | 0.164765 | − | 0.285382i | ||||
\(892\) | 34.4989 | − | 7.89214i | 1.15511 | − | 0.264248i | ||||
\(893\) | −5.51553 | − | 9.55319i | −0.184570 | − | 0.319685i | ||||
\(894\) | −17.8905 | − | 14.2600i | −0.598349 | − | 0.476925i | ||||
\(895\) | 2.95766 | + | 1.04880i | 0.0988637 | + | 0.0350577i | ||||
\(896\) | 6.19367 | − | 29.2855i | 0.206916 | − | 0.978359i | ||||
\(897\) | − | 29.4517i | − | 0.983365i | ||||||
\(898\) | 6.45492 | − | 8.09833i | 0.215404 | − | 0.270245i | ||||
\(899\) | 15.2756 | − | 8.81940i | 0.509471 | − | 0.294143i | ||||
\(900\) | 9.50711 | − | 19.3516i | 0.316904 | − | 0.645053i | ||||
\(901\) | 16.1563 | − | 27.9835i | 0.538244 | − | 0.932266i | ||||
\(902\) | −0.0311962 | + | 0.207322i | −0.00103872 | + | 0.00690305i | ||||
\(903\) | −15.3627 | − | 47.3971i | −0.511240 | − | 1.57728i | ||||
\(904\) | −16.5725 | + | 34.4787i | −0.551194 | + | 1.14674i | ||||
\(905\) | −26.1636 | + | 22.3263i | −0.869709 | + | 0.742150i | ||||
\(906\) | 8.50974 | − | 3.34226i | 0.282717 | − | 0.111039i | ||||
\(907\) | −9.48163 | + | 5.47422i | −0.314832 | + | 0.181769i | −0.649087 | − | 0.760714i | \(-0.724849\pi\) |
0.334254 | + | 0.942483i | \(0.391516\pi\) | |||||||
\(908\) | −25.6901 | + | 23.8606i | −0.852555 | + | 0.791842i | ||||
\(909\) | −37.4842 | −1.24327 | ||||||||
\(910\) | −8.32840 | + | 46.6465i | −0.276084 | + | 1.54632i | ||||
\(911\) | 10.3120i | 0.341653i | 0.985301 | + | 0.170827i | \(0.0546438\pi\) | ||||
−0.985301 | + | 0.170827i | \(0.945356\pi\) | |||||||
\(912\) | −4.40619 | − | 9.12641i | −0.145904 | − | 0.302206i | ||||
\(913\) | 3.54941 | + | 6.14776i | 0.117468 | + | 0.203461i | ||||
\(914\) | −32.0102 | + | 12.5722i | −1.05880 | + | 0.415852i | ||||
\(915\) | −7.54870 | + | 6.44154i | −0.249552 | + | 0.212951i | ||||
\(916\) | −13.2259 | − | 4.07247i | −0.436995 | − | 0.134558i | ||||
\(917\) | 14.5041 | − | 16.0852i | 0.478967 | − | 0.531181i | ||||
\(918\) | −16.8794 | − | 2.53989i | −0.557105 | − | 0.0838289i | ||||
\(919\) | 42.1983 | + | 24.3632i | 1.39199 | + | 0.803669i | 0.993536 | − | 0.113518i | \(-0.0362118\pi\) |
0.398459 | + | 0.917186i | \(0.369545\pi\) | |||||||
\(920\) | −3.79677 | + | 13.9778i | −0.125176 | + | 0.460834i | ||||
\(921\) | 13.2679 | + | 22.9808i | 0.437194 | + | 0.757242i | ||||
\(922\) | −14.4361 | + | 18.1115i | −0.475428 | + | 0.596471i | ||||
\(923\) | −4.59587 | −0.151275 | ||||||||
\(924\) | −5.32176 | + | 9.53955i | −0.175073 | + | 0.313828i | ||||
\(925\) | −6.13210 | − | 4.97448i | −0.201622 | − | 0.163560i | ||||
\(926\) | 1.44955 | − | 1.81860i | 0.0476352 | − | 0.0597630i | ||||
\(927\) | 3.37647 | − | 1.94941i | 0.110898 | − | 0.0640270i | ||||
\(928\) | 34.2835 | + | 7.78032i | 1.12541 | + | 0.255402i | ||||
\(929\) | 30.8399 | + | 17.8054i | 1.01182 | + | 0.584177i | 0.911725 | − | 0.410801i | \(-0.134751\pi\) |
0.100099 | + | 0.994977i | \(0.468084\pi\) | |||||||
\(930\) | −17.9811 | − | 9.59380i | −0.589625 | − | 0.314593i | ||||
\(931\) | 4.58181 | + | 6.32535i | 0.150163 | + | 0.207305i | ||||
\(932\) | 2.57542 | − | 8.36401i | 0.0843606 | − | 0.273972i | ||||
\(933\) | −12.8674 | + | 22.2869i | −0.421259 | + | 0.729642i | ||||
\(934\) | 8.23576 | + | 20.9691i | 0.269482 | + | 0.686130i | ||||
\(935\) | 2.32794 | + | 12.5909i | 0.0761318 | + | 0.411766i | ||||
\(936\) | 19.4770 | + | 28.5220i | 0.636627 | + | 0.932271i | ||||
\(937\) | −1.16006 | −0.0378974 | −0.0189487 | − | 0.999820i | \(-0.506032\pi\) | ||||
−0.0189487 | + | 0.999820i | \(0.506032\pi\) | |||||||
\(938\) | −24.6488 | − | 9.26403i | −0.804812 | − | 0.302481i | ||||
\(939\) | −57.6814 | −1.88236 | ||||||||
\(940\) | −17.5315 | − | 40.5892i | −0.571813 | − | 1.32387i | ||||
\(941\) | 4.49867 | + | 7.79192i | 0.146652 | + | 0.254009i | 0.929988 | − | 0.367589i | \(-0.119817\pi\) |
−0.783336 | + | 0.621599i | \(0.786483\pi\) | |||||||
\(942\) | 39.3561 | − | 15.4574i | 1.28229 | − | 0.503629i | ||||
\(943\) | −0.323417 | − | 0.186725i | −0.0105319 | − | 0.00608060i | ||||
\(944\) | −25.9228 | + | 38.1028i | −0.843716 | + | 1.24014i | ||||
\(945\) | −5.39804 | − | 9.96927i | −0.175598 | − | 0.324300i | ||||
\(946\) | 1.58661 | − | 10.5442i | 0.0515852 | − | 0.342822i | ||||
\(947\) | 19.2076 | + | 11.0895i | 0.624165 | + | 0.360362i | 0.778489 | − | 0.627659i | \(-0.215987\pi\) |
−0.154324 | + | 0.988020i | \(0.549320\pi\) | |||||||
\(948\) | 50.2110 | − | 11.4865i | 1.63078 | − | 0.373064i | ||||
\(949\) | 44.5380 | − | 25.7140i | 1.44576 | − | 0.834712i | ||||
\(950\) | −1.69328 | − | 7.70590i | −0.0549374 | − | 0.250012i | ||||
\(951\) | 54.1024 | 1.75439 | ||||||||
\(952\) | 46.7081 | + | 6.32576i | 1.51382 | + | 0.205019i | ||||
\(953\) | − | 31.9975i | − | 1.03650i | −0.855229 | − | 0.518250i | \(-0.826584\pi\) | ||
0.855229 | − | 0.518250i | \(-0.173416\pi\) | |||||||
\(954\) | 9.74993 | − | 12.2322i | 0.315665 | − | 0.396033i | ||||
\(955\) | 49.4047 | − | 9.13449i | 1.59870 | − | 0.295585i | ||||
\(956\) | −27.5941 | + | 6.31255i | −0.892456 | + | 0.204163i | ||||
\(957\) | −11.1104 | − | 6.41461i | −0.359149 | − | 0.207355i | ||||
\(958\) | 37.7150 | + | 5.67506i | 1.21851 | + | 0.183353i | ||||
\(959\) | 4.17447 | + | 12.8791i | 0.134801 | + | 0.415887i | ||||
\(960\) | −13.3127 | − | 38.3760i | −0.429666 | − | 1.23858i | ||||
\(961\) | 11.4721 | − | 19.8703i | 0.370068 | − | 0.640977i | ||||
\(962\) | 11.7731 | − | 4.62396i | 0.379579 | − | 0.149082i | ||||
\(963\) | −6.65276 | + | 3.84097i | −0.214382 | + | 0.123774i | ||||
\(964\) | −21.0797 | − | 22.6960i | −0.678931 | − | 0.730987i | ||||
\(965\) | −12.3776 | + | 34.9052i | −0.398449 | + | 1.12364i | ||||
\(966\) | −12.3508 | − | 15.0352i | −0.397381 | − | 0.483750i | ||||
\(967\) | 40.0936 | 1.28932 | 0.644662 | − | 0.764468i | \(-0.276998\pi\) | ||||
0.644662 | + | 0.764468i | \(0.276998\pi\) | |||||||
\(968\) | 23.7629 | − | 16.2272i | 0.763770 | − | 0.521561i | ||||
\(969\) | 13.8202 | − | 7.97908i | 0.443968 | − | 0.256325i | ||||
\(970\) | 1.05812 | + | 31.5979i | 0.0339742 | + | 1.01455i | ||||
\(971\) | −26.9006 | − | 15.5311i | −0.863282 | − | 0.498416i | 0.00182815 | − | 0.999998i | \(-0.499418\pi\) |
−0.865110 | + | 0.501582i | \(0.832751\pi\) | |||||||
\(972\) | −35.9716 | − | 11.0762i | −1.15379 | − | 0.355271i | ||||
\(973\) | 46.3600 | + | 9.88882i | 1.48623 | + | 0.317021i | ||||
\(974\) | 16.9002 | + | 2.54302i | 0.541519 | + | 0.0814836i | ||||
\(975\) | 22.9912 | + | 60.0496i | 0.736309 | + | 1.92313i | ||||
\(976\) | −0.576495 | + | 7.79645i | −0.0184532 | + | 0.249558i | ||||
\(977\) | 48.2743 | − | 27.8712i | 1.54443 | − | 0.891678i | 0.545881 | − | 0.837863i | \(-0.316195\pi\) |
0.998551 | − | 0.0538151i | \(-0.0171381\pi\) | |||||||
\(978\) | 43.2262 | + | 34.4543i | 1.38222 | + | 1.10173i | ||||
\(979\) | − | 13.0281i | − | 0.416380i | ||||||
\(980\) | 15.3099 | + | 27.3058i | 0.489057 | + | 0.872252i | ||||
\(981\) | 4.30573i | 0.137471i | ||||||||
\(982\) | −16.5135 | + | 20.7177i | −0.526965 | + | 0.661130i | ||||
\(983\) | −39.4861 | + | 22.7973i | −1.25941 | + | 0.727122i | −0.972960 | − | 0.230973i | \(-0.925809\pi\) |
−0.286452 | + | 0.958095i | \(0.592476\pi\) | |||||||
\(984\) | 1.04431 | − | 0.0790409i | 0.0332915 | − | 0.00251973i | ||||
\(985\) | 27.4438 | − | 23.4187i | 0.874433 | − | 0.746182i | ||||
\(986\) | −8.23702 | + | 54.7411i | −0.262320 | + | 1.74331i | ||||
\(987\) | 58.0881 | + | 12.3905i | 1.84896 | + | 0.394394i | ||||
\(988\) | 12.0788 | + | 3.71925i | 0.384277 | + | 0.118325i | ||||
\(989\) | 16.4487 | + | 9.49669i | 0.523040 | + | 0.301977i | ||||
\(990\) | 0.207455 | + | 6.19508i | 0.00659335 | + | 0.196893i | ||||
\(991\) | 30.9667 | − | 17.8786i | 0.983689 | − | 0.567933i | 0.0803071 | − | 0.996770i | \(-0.474410\pi\) |
0.903382 | + | 0.428837i | \(0.141077\pi\) | |||||||
\(992\) | −15.3365 | + | 4.75149i | −0.486934 | + | 0.150860i | ||||
\(993\) | 10.6801 | 0.338924 | ||||||||
\(994\) | −2.34621 | + | 1.92731i | −0.0744171 | + | 0.0611307i | ||||
\(995\) | 45.9996 | + | 16.3117i | 1.45829 | + | 0.517117i | ||||
\(996\) | 25.9828 | − | 24.1325i | 0.823297 | − | 0.764667i | ||||
\(997\) | 9.48099 | − | 5.47385i | 0.300266 | − | 0.173359i | −0.342296 | − | 0.939592i | \(-0.611205\pi\) |
0.642562 | + | 0.766233i | \(0.277871\pi\) | |||||||
\(998\) | 12.9049 | + | 32.8572i | 0.408497 | + | 1.04008i | ||||
\(999\) | −1.51312 | + | 2.62079i | −0.0478728 | + | 0.0829182i |
(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 | 280.2.ba.b.19.13 | ✓ | 80 | |
4.3 | odd | 2 | 1120.2.bq.b.719.33 | 80 | |||
5.4 | even | 2 | inner | 280.2.ba.b.19.28 | yes | 80 | |
7.3 | odd | 6 | inner | 280.2.ba.b.59.15 | yes | 80 | |
8.3 | odd | 2 | inner | 280.2.ba.b.19.26 | yes | 80 | |
8.5 | even | 2 | 1120.2.bq.b.719.34 | 80 | |||
20.19 | odd | 2 | 1120.2.bq.b.719.7 | 80 | |||
28.3 | even | 6 | 1120.2.bq.b.1039.8 | 80 | |||
35.24 | odd | 6 | inner | 280.2.ba.b.59.26 | yes | 80 | |
40.19 | odd | 2 | inner | 280.2.ba.b.19.15 | yes | 80 | |
40.29 | even | 2 | 1120.2.bq.b.719.8 | 80 | |||
56.3 | even | 6 | inner | 280.2.ba.b.59.28 | yes | 80 | |
56.45 | odd | 6 | 1120.2.bq.b.1039.7 | 80 | |||
140.59 | even | 6 | 1120.2.bq.b.1039.34 | 80 | |||
280.59 | even | 6 | inner | 280.2.ba.b.59.13 | yes | 80 | |
280.269 | odd | 6 | 1120.2.bq.b.1039.33 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.ba.b.19.13 | ✓ | 80 | 1.1 | even | 1 | trivial | |
280.2.ba.b.19.15 | yes | 80 | 40.19 | odd | 2 | inner | |
280.2.ba.b.19.26 | yes | 80 | 8.3 | odd | 2 | inner | |
280.2.ba.b.19.28 | yes | 80 | 5.4 | even | 2 | inner | |
280.2.ba.b.59.13 | yes | 80 | 280.59 | even | 6 | inner | |
280.2.ba.b.59.15 | yes | 80 | 7.3 | odd | 6 | inner | |
280.2.ba.b.59.26 | yes | 80 | 35.24 | odd | 6 | inner | |
280.2.ba.b.59.28 | yes | 80 | 56.3 | even | 6 | inner | |
1120.2.bq.b.719.7 | 80 | 20.19 | odd | 2 | |||
1120.2.bq.b.719.8 | 80 | 40.29 | even | 2 | |||
1120.2.bq.b.719.33 | 80 | 4.3 | odd | 2 | |||
1120.2.bq.b.719.34 | 80 | 8.5 | even | 2 | |||
1120.2.bq.b.1039.7 | 80 | 56.45 | odd | 6 | |||
1120.2.bq.b.1039.8 | 80 | 28.3 | even | 6 | |||
1120.2.bq.b.1039.33 | 80 | 280.269 | odd | 6 | |||
1120.2.bq.b.1039.34 | 80 | 140.59 | even | 6 |