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 | 19.15 | ||
Character | \(\chi\) | \(=\) | 280.19 |
Dual form | 280.2.ba.b.59.15 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.516996 | + | 1.31633i | −0.365572 | + | 0.930783i | ||||
\(3\) | 1.13535 | + | 1.96648i | 0.655495 | + | 1.13535i | 0.981769 | + | 0.190075i | \(0.0608732\pi\) |
−0.326275 | + | 0.945275i | \(0.605793\pi\) | |||||||
\(4\) | −1.46543 | − | 1.36107i | −0.732715 | − | 0.680536i | ||||
\(5\) | −0.406539 | + | 2.19880i | −0.181810 | + | 0.983334i | ||||
\(6\) | −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 | ||||
\(10\) | −2.68416 | − | 1.67191i | −0.848806 | − | 0.528704i | ||||
\(11\) | −0.454564 | − | 0.787328i | −0.137056 | − | 0.237388i | 0.789325 | − | 0.613976i | \(-0.210431\pi\) |
−0.926381 | + | 0.376587i | \(0.877097\pi\) | |||||||
\(12\) | 1.01275 | − | 4.42704i | 0.292356 | − | 1.27798i | ||||
\(13\) | − | 5.66349i | − | 1.57077i | −0.619007 | − | 0.785385i | \(-0.712465\pi\) | ||
0.619007 | − | 0.785385i | \(-0.287535\pi\) | |||||||
\(14\) | −3.12070 | − | 2.06428i | −0.834042 | − | 0.551701i | ||||
\(15\) | −4.78547 | + | 1.69696i | −1.23560 | + | 0.438153i | ||||
\(16\) | 0.294968 | + | 3.98911i | 0.0737419 | + | 0.997277i | ||||
\(17\) | 3.14931 | + | 5.45476i | 0.763819 | + | 1.32297i | 0.940869 | + | 0.338771i | \(0.110011\pi\) |
−0.177050 | + | 0.984202i | \(0.556655\pi\) | |||||||
\(18\) | −1.90053 | − | 2.38440i | −0.447959 | − | 0.562009i | ||||
\(19\) | −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 | \(0.243410\pi\) | |||||||
\(24\) | 5.30384 | + | 3.62187i | 1.08264 | + | 0.739312i | ||||
\(25\) | −4.66945 | − | 1.78780i | −0.933891 | − | 0.357559i | ||||
\(26\) | 7.45501 | + | 2.92801i | 1.46205 | + | 0.574229i | ||||
\(27\) | 1.91628 | 0.368789 | ||||||||
\(28\) | 4.33065 | − | 3.04063i | 0.818416 | − | 0.574626i | ||||
\(29\) | − | 6.21463i | − | 1.15403i | −0.816734 | − | 0.577014i | \(-0.804218\pi\) | ||
0.816734 | − | 0.577014i | \(-0.195782\pi\) | |||||||
\(30\) | 0.240322 | − | 7.17656i | 0.0438766 | − | 1.31026i | ||||
\(31\) | 1.41914 | + | 2.45801i | 0.254884 | + | 0.441472i | 0.964864 | − | 0.262750i | \(-0.0846293\pi\) |
−0.709980 | + | 0.704222i | \(0.751296\pi\) | |||||||
\(32\) | −5.40347 | − | 1.67408i | −0.955207 | − | 0.295939i | ||||
\(33\) | 1.03218 | − | 1.78779i | 0.179679 | − | 0.311214i | ||||
\(34\) | −8.80842 | + | 1.32542i | −1.51063 | + | 0.227308i | ||||
\(35\) | −5.46510 | − | 2.26553i | −0.923771 | − | 0.382945i | ||||
\(36\) | 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 | \(0.125230\pi\) | |||||||
\(38\) | 1.23393 | − | 0.983529i | 0.200170 | − | 0.159549i | ||||
\(39\) | 11.1372 | − | 6.43005i | 1.78337 | − | 1.02963i | ||||
\(40\) | 1.65786 | + | 6.10340i | 0.262131 | + | 0.965032i | ||||
\(41\) | 0.163067i | 0.0254668i | 0.999919 | + | 0.0127334i | \(0.00405327\pi\) | ||||
−0.999919 | + | 0.0127334i | \(0.995947\pi\) | |||||||
\(42\) | 0.516282 | − | 8.48048i | 0.0796640 | − | 1.30857i | ||||
\(43\) | 8.29346i | 1.26474i | 0.774666 | + | 0.632370i | \(0.217918\pi\) | ||||
−0.774666 | + | 0.632370i | \(0.782082\pi\) | |||||||
\(44\) | −0.405478 | + | 1.77247i | −0.0611282 | + | 0.267210i | ||||
\(45\) | −3.66738 | − | 3.12950i | −0.546701 | − | 0.466518i | ||||
\(46\) | −2.01872 | − | 2.53268i | −0.297644 | − | 0.373423i | ||||
\(47\) | 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 | ||||
\(52\) | −7.70842 | + | 8.29945i | −1.06897 | + | 1.15093i | ||||
\(53\) | 2.56505 | + | 4.44280i | 0.352337 | + | 0.610266i | 0.986659 | − | 0.162803i | \(-0.0520537\pi\) |
−0.634321 | + | 0.773070i | \(0.718720\pi\) | |||||||
\(54\) | −0.990712 | + | 2.52246i | −0.134819 | + | 0.343263i | ||||
\(55\) | 1.91598 | − | 0.679417i | 0.258350 | − | 0.0916125i | ||||
\(56\) | 1.76354 | + | 7.27255i | 0.235662 | + | 0.971835i | ||||
\(57\) | − | 2.53360i | − | 0.335583i | ||||||
\(58\) | 8.18048 | + | 3.21294i | 1.07415 | + | 0.421880i | ||||
\(59\) | 9.97768 | − | 5.76061i | 1.29898 | − | 0.749968i | 0.318754 | − | 0.947837i | \(-0.396736\pi\) |
0.980228 | + | 0.197869i | \(0.0634022\pi\) | |||||||
\(60\) | 9.32245 | + | 4.02660i | 1.20352 | + | 0.519832i | ||||
\(61\) | −0.977217 | + | 1.69259i | −0.125120 | + | 0.216714i | −0.921780 | − | 0.387714i | \(-0.873265\pi\) |
0.796660 | + | 0.604428i | \(0.206598\pi\) | |||||||
\(62\) | −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 | ||||
\(65\) | 12.4529 | + | 2.30243i | 1.54459 | + | 0.285581i | ||||
\(66\) | 1.81968 | + | 2.28296i | 0.223987 | + | 0.281013i | ||||
\(67\) | −6.09472 | + | 3.51879i | −0.744589 | + | 0.429889i | −0.823735 | − | 0.566974i | \(-0.808114\pi\) |
0.0791464 | + | 0.996863i | \(0.474781\pi\) | |||||||
\(68\) | 2.80923 | − | 12.2800i | 0.340669 | − | 1.48917i | ||||
\(69\) | −5.20028 | −0.626040 | ||||||||
\(70\) | 5.80762 | − | 6.02259i | 0.694143 | − | 0.719837i | ||||
\(71\) | 0.811490i | 0.0963061i | 0.998840 | + | 0.0481531i | \(0.0153335\pi\) | ||||
−0.998840 | + | 0.0481531i | \(0.984666\pi\) | |||||||
\(72\) | −0.460247 | + | 6.08093i | −0.0542407 | + | 0.716644i | ||||
\(73\) | −4.54031 | − | 7.86404i | −0.531403 | − | 0.920417i | −0.999328 | − | 0.0366487i | \(-0.988332\pi\) |
0.467925 | − | 0.883768i | \(-0.345002\pi\) | |||||||
\(74\) | 1.39204 | + | 1.74645i | 0.161821 | + | 0.203021i | ||||
\(75\) | −1.78579 | − | 11.2122i | −0.206206 | − | 1.29467i | ||||
\(76\) | 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 | 0.937557 | − | 0.347833i | \(-0.113082\pi\) |
0.167546 | + | 0.985864i | \(0.446416\pi\) | |||||||
\(80\) | −8.89117 | − | 0.973152i | −0.994063 | − | 0.108802i | ||||
\(81\) | 5.40978 | + | 9.37001i | 0.601086 | + | 1.04111i | ||||
\(82\) | −0.214649 | − | 0.0843050i | −0.0237041 | − | 0.00930993i | ||||
\(83\) | 7.80839 | 0.857082 | 0.428541 | − | 0.903522i | \(-0.359028\pi\) | ||||
0.428541 | + | 0.903522i | \(0.359028\pi\) | |||||||
\(84\) | 10.8962 | + | 5.06397i | 1.18887 | + | 0.552525i | ||||
\(85\) | −13.2742 | + | 4.70713i | −1.43979 | + | 0.510560i | ||||
\(86\) | −10.9169 | − | 4.28769i | −1.17720 | − | 0.462353i | ||||
\(87\) | 12.2210 | − | 7.05578i | 1.31023 | − | 0.756459i | ||||
\(88\) | −2.12352 | − | 1.45010i | −0.226368 | − | 0.154581i | ||||
\(89\) | 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 | ||||
\(94\) | −10.9334 | + | 8.71464i | −1.12769 | + | 0.898846i | ||||
\(95\) | 1.61952 | − | 1.89788i | 0.166159 | − | 0.194718i | ||||
\(96\) | −2.84277 | − | 12.5265i | −0.290139 | − | 1.27848i | ||||
\(97\) | −9.99774 | −1.01512 | −0.507558 | − | 0.861618i | \(-0.669452\pi\) | ||||
−0.507558 | + | 0.861618i | \(0.669452\pi\) | |||||||
\(98\) | 7.06383 | − | 6.93559i | 0.713554 | − | 0.700600i | ||||
\(99\) | 1.96016 | 0.197003 | ||||||||
\(100\) | 4.40944 | + | 8.97535i | 0.440944 | + | 0.897535i | ||||
\(101\) | −8.69267 | − | 15.0562i | −0.864953 | − | 1.49814i | −0.867093 | − | 0.498146i | \(-0.834015\pi\) |
0.00214005 | − | 0.999998i | \(-0.499319\pi\) | |||||||
\(102\) | −12.6071 | − | 15.8168i | −1.24829 | − | 1.56610i | ||||
\(103\) | −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 | ||||
\(105\) | −1.74967 | − | 13.3192i | −0.170751 | − | 1.29982i | ||||
\(106\) | −7.17430 | + | 1.07953i | −0.696830 | + | 0.104854i | ||||
\(107\) | −3.08558 | − | 1.78146i | −0.298294 | − | 0.172220i | 0.343382 | − | 0.939196i | \(-0.388427\pi\) |
−0.641676 | + | 0.766976i | \(0.721761\pi\) | |||||||
\(108\) | −2.80818 | − | 2.60820i | −0.270217 | − | 0.250974i | ||||
\(109\) | −1.72947 | + | 0.998508i | −0.165653 | + | 0.0956398i | −0.580534 | − | 0.814236i | \(-0.697156\pi\) |
0.414882 | + | 0.909875i | \(0.363823\pi\) | |||||||
\(110\) | −0.0962185 | + | 2.87331i | −0.00917407 | + | 0.273959i | ||||
\(111\) | 3.58593 | 0.340361 | ||||||||
\(112\) | −10.4848 | − | 1.43849i | −0.990719 | − | 0.135925i | ||||
\(113\) | − | 13.5251i | − | 1.27234i | −0.771551 | − | 0.636168i | \(-0.780519\pi\) | ||
0.771551 | − | 0.636168i | \(-0.219481\pi\) | |||||||
\(114\) | 3.33504 | + | 1.30986i | 0.312355 | + | 0.122680i | ||||
\(115\) | −3.89545 | − | 3.32411i | −0.363253 | − | 0.309975i | ||||
\(116\) | −8.45855 | + | 9.10710i | −0.785357 | + | 0.845573i | ||||
\(117\) | 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 | ||||
\(122\) | −1.72278 | − | 2.16140i | −0.155973 | − | 0.195684i | ||||
\(123\) | −0.320669 | + | 0.185138i | −0.0289137 | + | 0.0166933i | ||||
\(124\) | 1.26589 | − | 5.53359i | 0.113680 | − | 0.496931i | ||||
\(125\) | 5.82932 | − | 9.54039i | 0.521390 | − | 0.853318i | ||||
\(126\) | 7.21870 | − | 3.60166i | 0.643093 | − | 0.320862i | ||||
\(127\) | −1.34956 | −0.119754 | −0.0598772 | − | 0.998206i | \(-0.519071\pi\) | ||||
−0.0598772 | + | 0.998206i | \(0.519071\pi\) | |||||||
\(128\) | 5.63986 | + | 9.80775i | 0.498498 | + | 0.866891i | ||||
\(129\) | −16.3090 | + | 9.41598i | −1.43592 | + | 0.829031i | ||||
\(130\) | −9.46885 | + | 15.2017i | −0.830473 | + | 1.33328i | ||||
\(131\) | −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 | ||||
\(135\) | −0.779044 | + | 4.21353i | −0.0670494 | + | 0.362643i | ||||
\(136\) | 14.7121 | + | 10.0466i | 1.26155 | + | 0.861487i | ||||
\(137\) | −4.43159 | + | 2.55858i | −0.378616 | + | 0.218594i | −0.677216 | − | 0.735784i | \(-0.736814\pi\) |
0.298600 | + | 0.954378i | \(0.403480\pi\) | |||||||
\(138\) | 2.68852 | − | 6.84526i | 0.228862 | − | 0.582707i | ||||
\(139\) | − | 17.9166i | − | 1.51967i | −0.650117 | − | 0.759834i | \(-0.725280\pi\) | ||
0.650117 | − | 0.759834i | \(-0.274720\pi\) | |||||||
\(140\) | 4.92517 | + | 10.7584i | 0.416253 | + | 0.909249i | ||||
\(141\) | 22.4491i | 1.89056i | ||||||||
\(142\) | −1.06819 | − | 0.419537i | −0.0896401 | − | 0.0352068i | ||||
\(143\) | −4.45903 | + | 2.57442i | −0.372883 | + | 0.215284i | ||||
\(144\) | −7.76654 | − | 3.74965i | −0.647212 | − | 0.312471i | ||||
\(145\) | 13.6647 | + | 2.52649i | 1.13479 | + | 0.209813i | ||||
\(146\) | 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 | 0.730965 | − | 0.682414i | \(-0.239070\pi\) |
−0.225505 | + | 0.974242i | \(0.572403\pi\) | |||||||
\(150\) | 15.6821 | + | 3.44597i | 1.28044 | + | 0.281362i | ||||
\(151\) | −2.46560 | + | 1.42352i | −0.200648 | + | 0.115844i | −0.596958 | − | 0.802273i | \(-0.703624\pi\) |
0.396310 | + | 0.918117i | \(0.370291\pi\) | |||||||
\(152\) | −3.14690 | − | 0.238179i | −0.255247 | − | 0.0193189i | ||||
\(153\) | −13.5803 | −1.09790 | ||||||||
\(154\) | −0.206706 | + | 3.39536i | −0.0166568 | + | 0.273606i | ||||
\(155\) | −5.98162 | + | 2.12112i | −0.480455 | + | 0.170372i | ||||
\(156\) | −25.0725 | − | 5.73571i | −2.00741 | − | 0.459224i | ||||
\(157\) | 11.4030 | − | 6.58353i | 0.910059 | − | 0.525423i | 0.0296091 | − | 0.999562i | \(-0.490574\pi\) |
0.880450 | + | 0.474139i | \(0.157240\pi\) | |||||||
\(158\) | −12.5429 | + | 9.99758i | −0.997863 | + | 0.795365i | ||||
\(159\) | −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 | −0.214520 | − | 0.976720i | \(-0.568819\pi\) |
−0.953124 | + | 0.302580i | \(0.902152\pi\) | |||||||
\(164\) | 0.221946 | − | 0.238963i | 0.0173311 | − | 0.0186599i | ||||
\(165\) | 3.51137 | + | 2.99636i | 0.273360 | + | 0.233266i | ||||
\(166\) | −4.03691 | + | 10.2784i | −0.313325 | + | 0.797757i | ||||
\(167\) | 0.285811i | 0.0221167i | 0.999939 | + | 0.0110584i | \(0.00352006\pi\) | ||||
−0.999939 | + | 0.0110584i | \(0.996480\pi\) | |||||||
\(168\) | −12.2991 | + | 11.7249i | −0.948898 | + | 0.904592i | ||||
\(169\) | −19.0752 | −1.46732 | ||||||||
\(170\) | 0.666620 | − | 19.9068i | 0.0511274 | − | 1.52678i | ||||
\(171\) | 2.08341 | − | 1.20285i | 0.159322 | − | 0.0919846i | ||||
\(172\) | 11.2880 | − | 12.1535i | 0.860701 | − | 0.926694i | ||||
\(173\) | −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 | ||||
\(175\) | 7.20323 | − | 11.0956i | 0.544513 | − | 0.838752i | ||||
\(176\) | 3.00666 | − | 2.04554i | 0.226635 | − | 0.154189i | ||||
\(177\) | 22.6563 | + | 13.0806i | 1.70295 | + | 0.983200i | ||||
\(178\) | −15.8478 | + | 12.6318i | −1.18785 | + | 0.946794i | ||||
\(179\) | 0.701703 | + | 1.21539i | 0.0524478 | + | 0.0908422i | 0.891057 | − | 0.453891i | \(-0.149964\pi\) |
−0.838610 | + | 0.544733i | \(0.816631\pi\) | |||||||
\(180\) | 1.11482 | + | 9.57763i | 0.0830941 | + | 0.713874i | ||||
\(181\) | 15.3818 | 1.14332 | 0.571660 | − | 0.820491i | \(-0.306300\pi\) | ||||
0.571660 | + | 0.820491i | \(0.306300\pi\) | |||||||
\(182\) | −11.6910 | + | 17.6741i | −0.866596 | + | 1.31009i | ||||
\(183\) | −4.43794 | −0.328062 | ||||||||
\(184\) | −0.488869 | + | 6.45909i | −0.0360399 | + | 0.476170i | ||||
\(185\) | 2.68617 | + | 2.29219i | 0.197491 | + | 0.168525i | ||||
\(186\) | −5.68098 | − | 7.12734i | −0.416550 | − | 0.522602i | ||||
\(187\) | 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 | −0.412787 | − | 0.910828i | \(-0.635444\pi\) |
−0.995193 | + | 0.0979302i | \(0.968778\pi\) | |||||||
\(192\) | 17.9587 | + | 2.73414i | 1.29606 | + | 0.197319i | ||||
\(193\) | 14.3435 | − | 8.28125i | 1.03247 | − | 0.596097i | 0.114779 | − | 0.993391i | \(-0.463384\pi\) |
0.917691 | + | 0.397294i | \(0.130051\pi\) | |||||||
\(194\) | 5.16879 | − | 13.1603i | 0.371098 | − | 0.944853i | ||||
\(195\) | 9.61071 | + | 27.1025i | 0.688237 | + | 1.94085i | ||||
\(196\) | 5.47752 | + | 12.8840i | 0.391252 | + | 0.920284i | ||||
\(197\) | 16.1344 | 1.14953 | 0.574765 | − | 0.818318i | \(-0.305093\pi\) | ||||
0.574765 | + | 0.818318i | \(0.305093\pi\) | |||||||
\(198\) | −1.01339 | + | 2.58020i | −0.0720187 | + | 0.183367i | ||||
\(199\) | −10.9134 | − | 18.9025i | −0.773629 | − | 1.33996i | −0.935562 | − | 0.353163i | \(-0.885106\pi\) |
0.161933 | − | 0.986802i | \(-0.448227\pi\) | |||||||
\(200\) | −14.0941 | + | 1.16403i | −0.996607 | + | 0.0823097i | ||||
\(201\) | −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 | ||||
\(205\) | −0.358552 | − | 0.0662930i | −0.0250423 | − | 0.00463011i | ||||
\(206\) | 1.99978 | − | 1.59396i | 0.139331 | − | 0.111056i | ||||
\(207\) | −2.46889 | − | 4.27624i | −0.171600 | − | 0.297219i | ||||
\(208\) | 22.5923 | − | 1.67055i | 1.56649 | − | 0.115832i | ||||
\(209\) | 1.01439i | 0.0701665i | ||||||||
\(210\) | 18.4370 | + | 4.58285i | 1.27227 | + | 0.316246i | ||||
\(211\) | −9.76612 | −0.672328 | −0.336164 | − | 0.941804i | \(-0.609130\pi\) | ||||
−0.336164 | + | 0.941804i | \(0.609130\pi\) | |||||||
\(212\) | 2.28807 | − | 10.0018i | 0.157145 | − | 0.686929i | ||||
\(213\) | −1.59578 | + | 0.921325i | −0.109341 | + | 0.0631282i | ||||
\(214\) | 3.94022 | − | 3.14062i | 0.269348 | − | 0.214688i | ||||
\(215\) | −18.2357 | − | 3.37161i | −1.24366 | − | 0.229942i | ||||
\(216\) | 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 | ||||
\(220\) | −3.73246 | − | 1.61214i | −0.251643 | − | 0.108691i | ||||
\(221\) | 30.8930 | − | 17.8361i | 2.07809 | − | 1.19978i | ||||
\(222\) | −1.85391 | + | 4.72025i | −0.124426 | + | 0.316803i | ||||
\(223\) | 17.6951i | 1.18495i | 0.805589 | + | 0.592474i | \(0.201849\pi\) | ||||
−0.805589 | + | 0.592474i | \(0.798151\pi\) | |||||||
\(224\) | 7.31412 | − | 13.0577i | 0.488695 | − | 0.872455i | ||||
\(225\) | 8.37207 | − | 6.79159i | 0.558138 | − | 0.452772i | ||||
\(226\) | 17.8035 | + | 6.99243i | 1.18427 | + | 0.465130i | ||||
\(227\) | 8.76537 | + | 15.1821i | 0.581778 | + | 1.00767i | 0.995269 | + | 0.0971611i | \(0.0309762\pi\) |
−0.413490 | + | 0.910509i | \(0.635690\pi\) | |||||||
\(228\) | −3.44841 | + | 3.71281i | −0.228376 | + | 0.245887i | ||||
\(229\) | −3.45967 | + | 5.99232i | −0.228621 | + | 0.395984i | −0.957400 | − | 0.288766i | \(-0.906755\pi\) |
0.728778 | + | 0.684750i | \(0.240088\pi\) | |||||||
\(230\) | 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 | 0.370707 | − | 0.928750i | \(-0.379115\pi\) |
−0.618967 | + | 0.785417i | \(0.712449\pi\) | |||||||
\(234\) | −13.5040 | + | 10.7636i | −0.882787 | + | 0.703641i | ||||
\(235\) | −14.3499 | + | 16.8163i | −0.936084 | + | 1.09698i | ||||
\(236\) | −22.4622 | − | 5.13856i | −1.46216 | − | 0.334492i | ||||
\(237\) | 25.7540i | 1.67291i | ||||||||
\(238\) | 1.43209 | − | 23.5237i | 0.0928289 | − | 1.52481i | ||||
\(239\) | 14.1535i | 0.915511i | 0.889078 | + | 0.457756i | \(0.151347\pi\) | ||||
−0.889078 | + | 0.457756i | \(0.848653\pi\) | |||||||
\(240\) | −8.18091 | − | 18.5892i | −0.528075 | − | 1.19993i | ||||
\(241\) | 13.4126 | − | 7.74379i | 0.863984 | − | 0.498821i | −0.00136057 | − | 0.999999i | \(-0.500433\pi\) |
0.865344 | + | 0.501178i | \(0.167100\pi\) | |||||||
\(242\) | 8.96766 | + | 11.2508i | 0.576463 | + | 0.723229i | ||||
\(243\) | −9.40956 | + | 16.2978i | −0.603624 | + | 1.04551i | ||||
\(244\) | 3.73578 | − | 1.15031i | 0.239159 | − | 0.0736410i | ||||
\(245\) | 8.87855 | − | 12.8907i | 0.567229 | − | 0.823560i | ||||
\(246\) | −0.0779177 | − | 0.517820i | −0.00496785 | − | 0.0330150i | ||||
\(247\) | −3.15960 | + | 5.47259i | −0.201041 | + | 0.348213i | ||||
\(248\) | 6.62955 | + | 4.52717i | 0.420977 | + | 0.287476i | ||||
\(249\) | 8.86526 | + | 15.3551i | 0.561813 | + | 0.973088i | ||||
\(250\) | 9.54453 | + | 12.6056i | 0.603649 | + | 0.797250i | ||||
\(251\) | 6.13020i | 0.386935i | 0.981107 | + | 0.193467i | \(0.0619734\pi\) | ||||
−0.981107 | + | 0.193467i | \(0.938027\pi\) | |||||||
\(252\) | 1.00892 | + | 11.3642i | 0.0635559 | + | 0.715878i | ||||
\(253\) | 2.08205 | 0.130898 | ||||||||
\(254\) | 0.697720 | − | 1.77647i | 0.0437788 | − | 0.111465i | ||||
\(255\) | −24.3274 | − | 20.7594i | −1.52344 | − | 1.30000i | ||||
\(256\) | −15.8260 | + | 2.35332i | −0.989124 | + | 0.147082i | ||||
\(257\) | 3.21050 | − | 5.56075i | 0.200266 | − | 0.346870i | −0.748348 | − | 0.663306i | \(-0.769153\pi\) |
0.948614 | + | 0.316436i | \(0.102486\pi\) | |||||||
\(258\) | −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 | ||||
\(262\) | 9.05313 | − | 7.21596i | 0.559304 | − | 0.445804i | ||||
\(263\) | 3.23009 | + | 5.59468i | 0.199176 | + | 0.344983i | 0.948261 | − | 0.317491i | \(-0.102840\pi\) |
−0.749086 | + | 0.662473i | \(0.769507\pi\) | |||||||
\(264\) | 0.440668 | − | 5.82224i | 0.0271212 | − | 0.358334i | ||||
\(265\) | −10.8116 | + | 3.83387i | −0.664154 | + | 0.235513i | ||||
\(266\) | 1.86387 | + | 3.73570i | 0.114281 | + | 0.229050i | ||||
\(267\) | 32.5399i | 1.99141i | ||||||||
\(268\) | 13.7207 | + | 3.13882i | 0.838126 | + | 0.191734i | ||||
\(269\) | 0.755340 | + | 1.30829i | 0.0460539 | + | 0.0797677i | 0.888133 | − | 0.459586i | \(-0.152002\pi\) |
−0.842080 | + | 0.539353i | \(0.818669\pi\) | |||||||
\(270\) | −5.14362 | − | 3.20386i | −0.313031 | − | 0.194980i | ||||
\(271\) | 8.66274 | − | 15.0043i | 0.526224 | − | 0.911447i | −0.473309 | − | 0.880896i | \(-0.656941\pi\) |
0.999533 | − | 0.0305504i | \(-0.00972602\pi\) | |||||||
\(272\) | −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 | ||||
\(275\) | 0.714984 | + | 4.48906i | 0.0431152 | + | 0.270701i | ||||
\(276\) | 7.62064 | + | 7.07795i | 0.458709 | + | 0.426042i | ||||
\(277\) | −5.77685 | − | 10.0058i | −0.347097 | − | 0.601190i | 0.638635 | − | 0.769510i | \(-0.279499\pi\) |
−0.985733 | + | 0.168319i | \(0.946166\pi\) | |||||||
\(278\) | 23.5841 | + | 9.26282i | 1.41448 | + | 0.555547i | ||||
\(279\) | −6.11954 | −0.366368 | ||||||||
\(280\) | −16.7078 | + | 0.921093i | −0.998484 | + | 0.0550458i | ||||
\(281\) | 16.6526 | 0.993408 | 0.496704 | − | 0.867920i | \(-0.334543\pi\) | ||||
0.496704 | + | 0.867920i | \(0.334543\pi\) | |||||||
\(282\) | −29.5504 | − | 11.6061i | −1.75970 | − | 0.691135i | ||||
\(283\) | −11.3769 | − | 19.7053i | −0.676285 | − | 1.17136i | −0.976091 | − | 0.217360i | \(-0.930255\pi\) |
0.299806 | − | 0.954000i | \(-0.403078\pi\) | |||||||
\(284\) | 1.10450 | − | 1.18918i | 0.0655398 | − | 0.0705649i | ||||
\(285\) | 5.57088 | + | 1.03001i | 0.329990 | + | 0.0610123i | ||||
\(286\) | −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 | ||||
\(290\) | −10.3903 | + | 16.6811i | −0.610139 | + | 0.979546i | ||||
\(291\) | −11.3509 | − | 19.6604i | −0.665404 | − | 1.15251i | ||||
\(292\) | −4.05003 | + | 17.7039i | −0.237010 | + | 1.03604i | ||||
\(293\) | 8.66311i | 0.506104i | 0.967453 | + | 0.253052i | \(0.0814344\pi\) | ||||
−0.967453 | + | 0.253052i | \(0.918566\pi\) | |||||||
\(294\) | 21.6586 | + | 6.01658i | 1.26316 | + | 0.350894i | ||||
\(295\) | 8.61013 | + | 24.2808i | 0.501301 | + | 1.41368i | ||||
\(296\) | 0.337107 | − | 4.45396i | 0.0195940 | − | 0.258881i | ||||
\(297\) | −0.871075 | − | 1.50875i | −0.0505449 | − | 0.0875463i | ||||
\(298\) | −7.87886 | + | 6.27999i | −0.456410 | + | 0.363790i | ||||
\(299\) | 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 | ||||
\(304\) | 1.94046 | − | 4.01920i | 0.111293 | − | 0.230517i | ||||
\(305\) | −3.32439 | − | 2.83681i | −0.190354 | − | 0.162435i | ||||
\(306\) | 7.02098 | − | 17.8761i | 0.401363 | − | 1.02191i | ||||
\(307\) | 11.6862 | 0.666967 | 0.333484 | − | 0.942756i | \(-0.391776\pi\) | ||||
0.333484 | + | 0.942756i | \(0.391776\pi\) | |||||||
\(308\) | −4.36254 | − | 2.02748i | −0.248579 | − | 0.115526i | ||||
\(309\) | − | 4.10608i | − | 0.233587i | ||||||
\(310\) | 0.300391 | − | 8.97037i | 0.0170611 | − | 0.509483i | ||||
\(311\) | 5.66670 | + | 9.81500i | 0.321329 | + | 0.556558i | 0.980762 | − | 0.195205i | \(-0.0625372\pi\) |
−0.659434 | + | 0.751763i | \(0.729204\pi\) | |||||||
\(312\) | 20.5125 | − | 30.0383i | 1.16129 | − | 1.70058i | ||||
\(313\) | −12.7012 | + | 21.9992i | −0.717916 | + | 1.24347i | 0.243908 | + | 0.969798i | \(0.421570\pi\) |
−0.961824 | + | 0.273668i | \(0.911763\pi\) | |||||||
\(314\) | 2.77076 | + | 18.4137i | 0.156363 | + | 1.03915i | ||||
\(315\) | 10.1219 | − | 7.76222i | 0.570302 | − | 0.437352i | ||||
\(316\) | −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 | \(0.933343\pi\) | |||||||
\(318\) | −10.2682 | − | 12.8825i | −0.575814 | − | 0.722415i | ||||
\(319\) | −4.89295 | + | 2.82495i | −0.273953 | + | 0.158167i | ||||
\(320\) | 11.7049 | + | 13.5276i | 0.654322 | + | 0.756216i | ||||
\(321\) | − | 8.09033i | − | 0.451558i | ||||||
\(322\) | 7.66762 | − | 3.82564i | 0.427300 | − | 0.213195i | ||||
\(323\) | − | 7.02785i | − | 0.391040i | ||||||
\(324\) | 4.82561 | − | 21.0942i | 0.268089 | − | 1.17190i | ||||
\(325\) | −10.1252 | + | 26.4454i | −0.561643 | + | 1.46693i | ||||
\(326\) | 19.0365 | − | 15.1734i | 1.05434 | − | 0.840377i | ||||
\(327\) | −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 | \(0.207928\pi\) | |||||||
\(332\) | −11.4426 | − | 10.6278i | −0.627997 | − | 0.583275i | ||||
\(333\) | 1.70246 | + | 2.94875i | 0.0932943 | + | 0.161590i | ||||
\(334\) | −0.376220 | − | 0.147763i | −0.0205859 | − | 0.00808524i | ||||
\(335\) | −5.25938 | − | 14.8316i | −0.287351 | − | 0.810337i | ||||
\(336\) | −9.07513 | − | 22.2514i | −0.495089 | − | 1.21391i | ||||
\(337\) | − | 10.0355i | − | 0.546669i | −0.961919 | − | 0.273335i | \(-0.911873\pi\) | ||
0.961919 | − | 0.273335i | \(-0.0881267\pi\) | |||||||
\(338\) | 9.86179 | − | 25.1091i | 0.536411 | − | 1.36576i | ||||
\(339\) | 26.5969 | − | 15.3557i | 1.44455 | − | 0.834009i | ||||
\(340\) | 25.8592 | + | 11.1692i | 1.40241 | + | 0.605737i | ||||
\(341\) | 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 | ||||
\(345\) | 2.11411 | − | 11.4344i | 0.113820 | − | 0.615606i | ||||
\(346\) | 21.3054 | − | 16.9818i | 1.14538 | − | 0.912949i | ||||
\(347\) | 6.86288 | − | 3.96228i | 0.368418 | − | 0.212706i | −0.304349 | − | 0.952561i | \(-0.598439\pi\) |
0.672767 | + | 0.739854i | \(0.265106\pi\) | |||||||
\(348\) | −27.5124 | − | 6.29387i | −1.47482 | − | 0.337387i | ||||
\(349\) | 6.06729 | 0.324775 | 0.162387 | − | 0.986727i | \(-0.448081\pi\) | ||||
0.162387 | + | 0.986727i | \(0.448081\pi\) | |||||||
\(350\) | 10.8815 | + | 15.2182i | 0.581638 | + | 0.813448i | ||||
\(351\) | − | 10.8529i | − | 0.579283i | ||||||
\(352\) | 1.13817 | + | 5.01528i | 0.0606647 | + | 0.267315i | ||||
\(353\) | 17.3298 | + | 30.0161i | 0.922371 | + | 1.59759i | 0.795735 | + | 0.605644i | \(0.207085\pi\) |
0.126636 | + | 0.991949i | \(0.459582\pi\) | |||||||
\(354\) | −28.9316 | + | 23.0605i | −1.53770 | + | 1.22565i | ||||
\(355\) | −1.78430 | − | 0.329902i | −0.0947010 | − | 0.0175094i | ||||
\(356\) | −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 | 0.613217 | − | 0.789914i | \(-0.289875\pi\) |
−0.377477 | + | 0.926019i | \(0.623208\pi\) | |||||||
\(360\) | −13.1836 | − | 3.48413i | −0.694839 | − | 0.183630i | ||||
\(361\) | −8.87752 | − | 15.3763i | −0.467238 | − | 0.809280i | ||||
\(362\) | −7.95233 | + | 20.2475i | −0.417965 | + | 1.06418i | ||||
\(363\) | 23.1009 | 1.21248 | ||||||||
\(364\) | −17.2206 | − | 24.5266i | −0.902605 | − | 1.28554i | ||||
\(365\) | 19.1373 | − | 6.78619i | 1.00169 | − | 0.355206i | ||||
\(366\) | 2.29440 | − | 5.84177i | 0.119930 | − | 0.305354i | ||||
\(367\) | 12.5217 | − | 7.22938i | 0.653625 | − | 0.377371i | −0.136218 | − | 0.990679i | \(-0.543495\pi\) |
0.789844 | + | 0.613308i | \(0.210162\pi\) | |||||||
\(368\) | −8.24952 | − | 3.98284i | −0.430036 | − | 0.207620i | ||||
\(369\) | −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 | \(0.114752\pi\) | |||||||
\(374\) | 5.04754 | + | 6.33263i | 0.261002 | + | 0.327452i | ||||
\(375\) | 25.3793 | + | 0.631584i | 1.31058 | + | 0.0326148i | ||||
\(376\) | 27.8833 | + | 2.11041i | 1.43797 | + | 0.108836i | ||||
\(377\) | −35.1965 | −1.81271 | ||||||||
\(378\) | −5.98015 | − | 3.95574i | −0.307586 | − | 0.203461i | ||||
\(379\) | −24.4959 | −1.25827 | −0.629135 | − | 0.777296i | \(-0.716591\pi\) | ||||
−0.629135 | + | 0.777296i | \(0.716591\pi\) | |||||||
\(380\) | −4.95645 | + | 0.576925i | −0.254260 | + | 0.0295956i | ||||
\(381\) | −1.53223 | − | 2.65390i | −0.0784984 | − | 0.135963i | ||||
\(382\) | 24.8483 | − | 19.8058i | 1.27135 | − | 1.01335i | ||||
\(383\) | −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 | ||||
\(385\) | 0.700523 | + | 5.33266i | 0.0357019 | + | 0.271778i | ||||
\(386\) | 3.48526 | + | 23.1621i | 0.177395 | + | 1.17892i | ||||
\(387\) | −15.4857 | − | 8.94069i | −0.787184 | − | 0.454481i | ||||
\(388\) | 14.6510 | + | 13.6076i | 0.743791 | + | 0.690823i | ||||
\(389\) | 8.34342 | − | 4.81708i | 0.423028 | − | 0.244235i | −0.273344 | − | 0.961916i | \(-0.588130\pi\) |
0.696372 | + | 0.717681i | \(0.254796\pi\) | |||||||
\(390\) | −40.6444 | − | 1.36106i | −2.05811 | − | 0.0689200i | ||||
\(391\) | −14.4249 | −0.729496 | ||||||||
\(392\) | −19.7914 | + | 0.549241i | −0.999615 | + | 0.0277409i | ||||
\(393\) | − | 18.5885i | − | 0.937667i | ||||||
\(394\) | −8.34144 | + | 21.2382i | −0.420236 | + | 1.06996i | ||||
\(395\) | −16.4625 | + | 19.2920i | −0.828316 | + | 0.970685i | ||||
\(396\) | −2.87247 | − | 2.66791i | −0.144347 | − | 0.134068i | ||||
\(397\) | −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 | \(0.932827\pi\) | |||||||
\(402\) | 17.6725 | − | 14.0862i | 0.881423 | − | 0.702554i | ||||
\(403\) | 13.9209 | − | 8.03726i | 0.693452 | − | 0.400365i | ||||
\(404\) | −7.75400 | + | 33.8951i | −0.385776 | + | 1.68634i | ||||
\(405\) | −22.8021 | + | 8.08575i | −1.13304 | + | 0.401784i | ||||
\(406\) | −12.8287 | + | 19.3940i | −0.636678 | + | 0.962507i | ||||
\(407\) | −1.43571 | −0.0711656 | ||||||||
\(408\) | −3.05303 | + | 40.3375i | −0.151147 | + | 1.99701i | ||||
\(409\) | 9.54259 | − | 5.50941i | 0.471850 | − | 0.272423i | −0.245164 | − | 0.969482i | \(-0.578842\pi\) |
0.717014 | + | 0.697059i | \(0.245508\pi\) | |||||||
\(410\) | 0.272633 | − | 0.437698i | 0.0134644 | − | 0.0216164i | ||||
\(411\) | −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 | ||||
\(415\) | −3.17441 | + | 17.1691i | −0.155826 | + | 0.842797i | ||||
\(416\) | −9.48115 | + | 30.6025i | −0.464852 | + | 1.50041i | ||||
\(417\) | 35.2327 | − | 20.3416i | 1.72536 | − | 0.996134i | ||||
\(418\) | −1.33526 | − | 0.524434i | −0.0653098 | − | 0.0256509i | ||||
\(419\) | − | 5.97226i | − | 0.291764i | −0.989302 | − | 0.145882i | \(-0.953398\pi\) | ||
0.989302 | − | 0.145882i | \(-0.0466020\pi\) | |||||||
\(420\) | −15.5644 | + | 21.8998i | −0.759464 | + | 1.06860i | ||||
\(421\) | 20.0534i | 0.977344i | 0.872468 | + | 0.488672i | \(0.162518\pi\) | ||||
−0.872468 | + | 0.488672i | \(0.837482\pi\) | |||||||
\(422\) | 5.04905 | − | 12.8554i | 0.245784 | − | 0.625791i | ||||
\(423\) | −18.4602 | + | 10.6580i | −0.897564 | + | 0.518209i | ||||
\(424\) | 11.9828 | + | 8.18276i | 0.581934 | + | 0.397390i | ||||
\(425\) | −4.95354 | − | 31.1010i | −0.240282 | − | 1.50862i | ||||
\(426\) | −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 | ||||
\(430\) | 13.8659 | − | 22.2610i | 0.668674 | − | 1.07352i | ||||
\(431\) | −21.7452 | + | 12.5546i | −1.04743 | + | 0.604734i | −0.921929 | − | 0.387359i | \(-0.873387\pi\) |
−0.125501 | + | 0.992093i | \(0.540054\pi\) | |||||||
\(432\) | 0.565242 | + | 7.64427i | 0.0271952 | + | 0.367785i | ||||
\(433\) | 15.4250 | 0.741276 | 0.370638 | − | 0.928777i | \(-0.379139\pi\) | ||||
0.370638 | + | 0.928777i | \(0.379139\pi\) | |||||||
\(434\) | 0.645328 | − | 10.6002i | 0.0309767 | − | 0.508826i | ||||
\(435\) | 10.5460 | + | 29.7399i | 0.505640 | + | 1.42592i | ||||
\(436\) | 3.89345 | + | 0.890685i | 0.186463 | + | 0.0426561i | ||||
\(437\) | 2.21297 | − | 1.27766i | 0.105861 | − | 0.0611186i | ||||
\(438\) | 18.1754 | + | 22.8028i | 0.868455 | + | 1.08956i | ||||
\(439\) | 8.54597 | − | 14.8021i | 0.407877 | − | 0.706464i | −0.586775 | − | 0.809750i | \(-0.699603\pi\) |
0.994652 | + | 0.103287i | \(0.0329359\pi\) | |||||||
\(440\) | 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 | \(-0.941668\pi\) |
−0.649445 | − | 0.760409i | \(-0.724999\pi\) | |||||||
\(444\) | −5.25493 | − | 4.88071i | −0.249388 | − | 0.231628i | ||||
\(445\) | −20.8001 | + | 24.3752i | −0.986019 | + | 1.15549i | ||||
\(446\) | −23.2925 | − | 9.14828i | −1.10293 | − | 0.433184i | ||||
\(447\) | 16.1774i | 0.765166i | ||||||||
\(448\) | 13.4068 | + | 16.3786i | 0.633413 | + | 0.773814i | ||||
\(449\) | −7.32288 | −0.345588 | −0.172794 | − | 0.984958i | \(-0.555279\pi\) | ||||
−0.172794 | + | 0.984958i | \(0.555279\pi\) | |||||||
\(450\) | 4.61161 | + | 14.5316i | 0.217394 | + | 0.685026i | ||||
\(451\) | 0.128387 | − | 0.0741244i | 0.00604552 | − | 0.00349038i | ||||
\(452\) | −18.4086 | + | 19.8201i | −0.865870 | + | 0.932259i | ||||
\(453\) | −5.59865 | − | 3.23238i | −0.263048 | − | 0.151871i | ||||
\(454\) | −24.5162 | + | 3.68902i | −1.15060 | + | 0.173134i | ||||
\(455\) | −12.8308 | + | 30.9516i | −0.601519 | + | 1.45103i | ||||
\(456\) | −3.10445 | − | 6.45874i | −0.145379 | − | 0.302458i | ||||
\(457\) | −21.0598 | − | 12.1589i | −0.985137 | − | 0.568769i | −0.0813202 | − | 0.996688i | \(-0.525914\pi\) |
−0.903817 | + | 0.427919i | \(0.859247\pi\) | |||||||
\(458\) | −6.09921 | − | 7.65206i | −0.284998 | − | 0.357557i | ||||
\(459\) | 6.03497 | + | 10.4529i | 0.281688 | + | 0.487898i | ||||
\(460\) | 1.18415 | + | 10.1732i | 0.0552114 | + | 0.474330i | ||||
\(461\) | −16.3772 | −0.762764 | −0.381382 | − | 0.924417i | \(-0.624552\pi\) | ||||
−0.381382 | + | 0.924417i | \(0.624552\pi\) | |||||||
\(462\) | −6.91161 | + | 3.44844i | −0.321557 | + | 0.160436i | ||||
\(463\) | −1.64446 | −0.0764246 | −0.0382123 | − | 0.999270i | \(-0.512166\pi\) | ||||
−0.0382123 | + | 0.999270i | \(0.512166\pi\) | |||||||
\(464\) | 24.7908 | − | 1.83312i | 1.15089 | − | 0.0851002i | ||||
\(465\) | −10.9624 | − | 9.35455i | −0.508368 | − | 0.433807i | ||||
\(466\) | 4.83914 | − | 3.85712i | 0.224169 | − | 0.178678i | ||||
\(467\) | −7.96501 | + | 13.7958i | −0.368577 | + | 0.638393i | −0.989343 | − | 0.145602i | \(-0.953488\pi\) |
0.620767 | + | 0.783995i | \(0.286821\pi\) | |||||||
\(468\) | −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 | ||||
\(472\) | 18.3769 | − | 26.9110i | 0.845865 | − | 1.23868i | ||||
\(473\) | 6.52967 | − | 3.76991i | 0.300235 | − | 0.173341i | ||||
\(474\) | −33.9007 | − | 13.3147i | −1.55711 | − | 0.611567i | ||||
\(475\) | 3.51466 | + | 4.33257i | 0.161264 | + | 0.198792i | ||||
\(476\) | 30.2245 | + | 14.0468i | 1.38534 | + | 0.643833i | ||||
\(477\) | −11.0609 | −0.506445 | ||||||||
\(478\) | −18.6306 | − | 7.31729i | −0.852142 | − | 0.334685i | ||||
\(479\) | 13.4844 | + | 23.3556i | 0.616116 | + | 1.06714i | 0.990188 | + | 0.139745i | \(0.0446282\pi\) |
−0.374071 | + | 0.927400i | \(0.622038\pi\) | |||||||
\(480\) | 28.6990 | − | 1.15818i | 1.30992 | − | 0.0528637i | ||||
\(481\) | −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 | ||||
\(485\) | 4.06447 | − | 21.9830i | 0.184558 | − | 0.998198i | ||||
\(486\) | −16.5886 | − | 20.8120i | −0.752472 | − | 0.944050i | ||||
\(487\) | −6.04240 | − | 10.4658i | −0.273808 | − | 0.474249i | 0.696026 | − | 0.718017i | \(-0.254950\pi\) |
−0.969834 | + | 0.243768i | \(0.921616\pi\) | |||||||
\(488\) | −0.417203 | + | 5.51221i | −0.0188859 | + | 0.249526i | ||||
\(489\) | − | 39.0871i | − | 1.76758i | ||||||
\(490\) | 12.3783 | + | 18.3515i | 0.559193 | + | 0.829038i | ||||
\(491\) | 18.7339 | 0.845450 | 0.422725 | − | 0.906258i | \(-0.361074\pi\) | ||||
0.422725 | + | 0.906258i | \(0.361074\pi\) | |||||||
\(492\) | 0.721904 | + | 0.165146i | 0.0325459 | + | 0.00744536i | ||||
\(493\) | 33.8993 | − | 19.5718i | 1.52675 | − | 0.881468i | ||||
\(494\) | −5.57021 | − | 6.98837i | −0.250616 | − | 0.314422i | ||||
\(495\) | −0.796879 | + | 4.30999i | −0.0358171 | + | 0.193720i | ||||
\(496\) | −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 | \(-0.0220368\pi\) | |||||||
\(500\) | −21.5276 | + | 6.04665i | −0.962744 | + | 0.270414i | ||||
\(501\) | −0.562043 | + | 0.324496i | −0.0251102 | + | 0.0144974i | ||||
\(502\) | −8.06935 | − | 3.16929i | −0.360153 | − | 0.141452i | ||||
\(503\) | − | 13.3328i | − | 0.594481i | −0.954803 | − | 0.297241i | \(-0.903934\pi\) | ||
0.954803 | − | 0.297241i | \(-0.0960663\pi\) | |||||||
\(504\) | −15.4806 | − | 4.54719i | −0.689562 | − | 0.202548i | ||||
\(505\) | 36.6394 | − | 12.9926i | 1.63043 | − | 0.578161i | ||||
\(506\) | −1.07641 | + | 2.74066i | −0.0478524 | + | 0.121837i | ||||
\(507\) | −21.6570 | − | 37.5110i | −0.961821 | − | 1.66592i | ||||
\(508\) | 1.97769 | + | 1.83685i | 0.0877459 | + | 0.0814972i | ||||
\(509\) | 3.32935 | − | 5.76661i | 0.147571 | − | 0.255600i | −0.782758 | − | 0.622326i | \(-0.786188\pi\) |
0.930329 | + | 0.366726i | \(0.119521\pi\) | |||||||
\(510\) | 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 | ||||
\(514\) | 5.65995 | + | 7.10095i | 0.249649 | + | 0.313210i | ||||
\(515\) | 2.62468 | − | 3.07580i | 0.115657 | − | 0.135536i | ||||
\(516\) | 36.7155 | + | 8.39920i | 1.61631 | + | 0.369754i | ||||
\(517\) | − | 8.98804i | − | 0.395294i | ||||||
\(518\) | −5.28732 | + | 2.63803i | −0.232312 | + | 0.115908i | ||||
\(519\) | − | 43.7457i | − | 1.92022i | ||||||
\(520\) | 34.5666 | − | 9.38928i | 1.51584 | − | 0.411747i | ||||
\(521\) | 6.14654 | − | 3.54871i | 0.269285 | − | 0.155472i | −0.359278 | − | 0.933231i | \(-0.616977\pi\) |
0.628563 | + | 0.777759i | \(0.283644\pi\) | |||||||
\(522\) | −14.8182 | + | 11.8111i | −0.648573 | + | 0.516957i | ||||
\(523\) | −8.40071 | + | 14.5505i | −0.367337 | + | 0.636247i | −0.989148 | − | 0.146920i | \(-0.953064\pi\) |
0.621811 | + | 0.783167i | \(0.286397\pi\) | |||||||
\(524\) | 4.81813 | + | 15.6475i | 0.210481 | + | 0.683564i | ||||
\(525\) | 29.9976 | + | 1.56759i | 1.30920 | + | 0.0684155i | ||||
\(526\) | −9.03436 | + | 1.35942i | −0.393917 | + | 0.0592736i | ||||
\(527\) | −8.93858 | + | 15.4821i | −0.389371 | + | 0.674410i | ||||
\(528\) | 7.43614 | + | 3.59014i | 0.323616 | + | 0.156241i | ||||
\(529\) | 8.87758 | + | 15.3764i | 0.385982 | + | 0.668540i | ||||
\(530\) | 0.542950 | − | 16.2137i | 0.0235842 | − | 0.704280i | ||||
\(531\) | 24.8407i | 1.07800i | ||||||||
\(532\) | −5.88101 | + | 0.522118i | −0.254974 | + | 0.0226367i | ||||
\(533\) | 0.923529 | 0.0400025 | ||||||||
\(534\) | −42.8331 | − | 16.8230i | −1.85357 | − | 0.728003i | ||||
\(535\) | 5.17148 | − | 6.06034i | 0.223583 | − | 0.262012i | ||||
\(536\) | −11.2253 | + | 16.4382i | −0.484858 | + | 0.710021i | ||||
\(537\) | −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 | 0.160542 | − | 0.987029i | \(-0.448676\pi\) |
−0.774521 | + | 0.632548i | \(0.782009\pi\) | |||||||
\(542\) | 15.2720 | + | 19.1602i | 0.655987 | + | 0.823000i | ||||
\(543\) | 17.4637 | + | 30.2481i | 0.749441 | + | 1.29807i | ||||
\(544\) | −7.88546 | − | 34.7468i | −0.338086 | − | 1.48976i | ||||
\(545\) | −1.49243 | − | 4.20869i | −0.0639285 | − | 0.180280i | ||||
\(546\) | −48.0292 | − | 2.92396i | −2.05546 | − | 0.125134i | ||||
\(547\) | − | 4.86184i | − | 0.207877i | −0.994584 | − | 0.103939i | \(-0.966855\pi\) | ||
0.994584 | − | 0.103939i | \(-0.0331446\pi\) | |||||||
\(548\) | 9.97658 | + | 2.28229i | 0.426179 | + | 0.0974946i | ||||
\(549\) | −2.10696 | − | 3.64936i | −0.0899229 | − | 0.155751i | ||||
\(550\) | −6.27871 | − | 1.37968i | −0.267725 | − | 0.0588296i | ||||
\(551\) | −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 | ||||
\(555\) | −1.45782 | + | 7.88475i | −0.0618810 | + | 0.334689i | ||||
\(556\) | −24.3858 | + | 26.2555i | −1.03419 | + | 1.11348i | ||||
\(557\) | −11.4750 | − | 19.8753i | −0.486211 | − | 0.842142i | 0.513663 | − | 0.857992i | \(-0.328288\pi\) |
−0.999874 | + | 0.0158495i | \(0.994955\pi\) | |||||||
\(558\) | 3.16378 | − | 8.05532i | 0.133934 | − | 0.341009i | ||||
\(559\) | 46.9699 | 1.98662 | ||||||||
\(560\) | 7.42543 | − | 22.4692i | 0.313782 | − | 0.949495i | ||||
\(561\) | 13.0026 | 0.548970 | ||||||||
\(562\) | −8.60931 | + | 21.9202i | −0.363162 | + | 0.924648i | ||||
\(563\) | −7.57987 | − | 13.1287i | −0.319453 | − | 0.553309i | 0.660921 | − | 0.750456i | \(-0.270166\pi\) |
−0.980374 | + | 0.197146i | \(0.936833\pi\) | |||||||
\(564\) | 30.5549 | − | 32.8976i | 1.28659 | − | 1.38524i | ||||
\(565\) | 29.7390 | + | 5.49848i | 1.25113 | + | 0.231323i | ||||
\(566\) | 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 | \(0.155784\pi\) | |||||||
\(570\) | −4.23595 | + | 6.80058i | −0.177424 | + | 0.284845i | ||||
\(571\) | 17.5826 | + | 30.4540i | 0.735811 | + | 1.27446i | 0.954367 | + | 0.298637i | \(0.0965320\pi\) |
−0.218556 | + | 0.975824i | \(0.570135\pi\) | |||||||
\(572\) | 10.0384 | + | 2.29642i | 0.419725 | + | 0.0960183i | ||||
\(573\) | − | 51.0202i | − | 2.13140i | ||||||
\(574\) | 0.336615 | − | 0.508883i | 0.0140501 | − | 0.0212404i | ||||
\(575\) | 8.89271 | − | 7.21394i | 0.370852 | − | 0.300842i | ||||
\(576\) | 6.27777 | + | 16.0657i | 0.261574 | + | 0.669403i | ||||
\(577\) | 7.78749 | + | 13.4883i | 0.324198 | + | 0.561527i | 0.981350 | − | 0.192231i | \(-0.0615724\pi\) |
−0.657152 | + | 0.753758i | \(0.728239\pi\) | |||||||
\(578\) | −19.9852 | − | 25.0734i | −0.831276 | − | 1.04292i | ||||
\(579\) | 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 | ||||
\(584\) | −21.2102 | − | 14.4840i | −0.877686 | − | 0.599352i | ||||
\(585\) | −17.7239 | + | 20.7702i | −0.732792 | + | 0.858742i | ||||
\(586\) | −11.4035 | − | 4.47880i | −0.471073 | − | 0.185017i | ||||
\(587\) | 17.6761 | 0.729572 | 0.364786 | − | 0.931091i | \(-0.381142\pi\) | ||||
0.364786 | + | 0.931091i | \(0.381142\pi\) | |||||||
\(588\) | −19.1172 | + | 25.3993i | −0.788381 | + | 1.04745i | ||||
\(589\) | − | 3.16688i | − | 0.130489i | ||||||
\(590\) | −36.4129 | − | 1.21936i | −1.49910 | − | 0.0502003i | ||||
\(591\) | 18.3182 | + | 31.7281i | 0.753511 | + | 1.30512i | ||||
\(592\) | 5.68858 | + | 2.74642i | 0.233799 | + | 0.112877i | ||||
\(593\) | 4.15344 | − | 7.19397i | 0.170561 | − | 0.295421i | −0.768055 | − | 0.640384i | \(-0.778775\pi\) |
0.938616 | + | 0.344963i | \(0.112109\pi\) | |||||||
\(594\) | 2.43634 | − | 0.366602i | 0.0999644 | − | 0.0150419i | ||||
\(595\) | −4.85335 | − | 36.9457i | −0.198968 | − | 1.51463i | ||||
\(596\) | −4.19317 | − | 13.6179i | −0.171759 | − | 0.557810i | ||||
\(597\) | 24.7810 | − | 42.9220i | 1.01422 | − | 1.75668i | ||||
\(598\) | −14.3438 | + | 11.4330i | −0.586562 | + | 0.467530i | ||||
\(599\) | 1.64713 | − | 0.950974i | 0.0673001 | − | 0.0388557i | −0.465972 | − | 0.884799i | \(-0.654295\pi\) |
0.533272 | + | 0.845944i | \(0.320962\pi\) | |||||||
\(600\) | −18.2909 | − | 26.3943i | −0.746721 | − | 1.07754i | ||||
\(601\) | − | 3.61199i | − | 0.147336i | −0.997283 | − | 0.0736680i | \(-0.976529\pi\) | ||
0.997283 | − | 0.0736680i | \(-0.0234705\pi\) | |||||||
\(602\) | 17.1200 | − | 25.8814i | 0.697759 | − | 1.05485i | ||||
\(603\) | − | 15.1736i | − | 0.617917i | ||||||
\(604\) | 5.55068 | + | 1.26980i | 0.225854 | + | 0.0516674i | ||||
\(605\) | 17.3046 | + | 14.7665i | 0.703531 | + | 0.600345i | ||||
\(606\) | 34.7979 | + | 43.6573i | 1.41357 | + | 1.77346i | ||||
\(607\) | −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 | ||||
\(612\) | 19.9010 | + | 18.4838i | 0.804451 | + | 0.747163i | ||||
\(613\) | 4.16951 | + | 7.22180i | 0.168405 | + | 0.291686i | 0.937859 | − | 0.347016i | \(-0.112805\pi\) |
−0.769454 | + | 0.638702i | \(0.779472\pi\) | |||||||
\(614\) | −6.04173 | + | 15.3829i | −0.243824 | + | 0.620802i | ||||
\(615\) | −0.276718 | − | 0.780352i | −0.0111583 | − | 0.0314668i | ||||
\(616\) | 4.92424 | − | 4.69432i | 0.198403 | − | 0.189140i | ||||
\(617\) | − | 24.3929i | − | 0.982021i | −0.871154 | − | 0.491011i | \(-0.836628\pi\) | ||
0.871154 | − | 0.491011i | \(-0.163372\pi\) | |||||||
\(618\) | 5.40494 | + | 2.12283i | 0.217419 | + | 0.0853927i | ||||
\(619\) | −35.5991 | + | 20.5532i | −1.43085 | + | 0.826102i | −0.997186 | − | 0.0749730i | \(-0.976113\pi\) |
−0.433664 | + | 0.901075i | \(0.642780\pi\) | |||||||
\(620\) | 11.6526 | + | 5.03306i | 0.467981 | + | 0.202133i | ||||
\(621\) | −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 | ||||
\(625\) | 18.6076 | + | 16.6961i | 0.744303 | + | 0.667842i | ||||
\(626\) | −22.3916 | − | 28.0924i | −0.894948 | − | 1.12280i | ||||
\(627\) | −1.99477 | + | 1.15168i | −0.0796636 | + | 0.0459938i | ||||
\(628\) | −25.6710 | − | 5.87261i | −1.02438 | − | 0.234343i | ||||
\(629\) | 9.94688 | 0.396608 | ||||||||
\(630\) | 4.98466 | + | 17.3367i | 0.198593 | + | 0.690711i | ||||
\(631\) | − | 35.0578i | − | 1.39563i | −0.716279 | − | 0.697814i | \(-0.754156\pi\) | ||
0.716279 | − | 0.697814i | \(-0.245844\pi\) | |||||||
\(632\) | 31.9882 | + | 2.42109i | 1.27242 | + | 0.0963059i | ||||
\(633\) | −11.0880 | − | 19.2049i | −0.440707 | − | 0.763327i | ||||
\(634\) | −21.0023 | − | 26.3494i | −0.834106 | − | 1.04647i | ||||
\(635\) | 0.548650 | − | 2.96742i | 0.0217725 | − | 0.117759i | ||||
\(636\) | 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 | ||||
\(640\) | −23.8581 | + | 8.41369i | −0.943075 | + | 0.332580i | ||||
\(641\) | −3.51329 | − | 6.08519i | −0.138766 | − | 0.240351i | 0.788264 | − | 0.615338i | \(-0.210980\pi\) |
−0.927030 | + | 0.374987i | \(0.877647\pi\) | |||||||
\(642\) | 10.6495 | + | 4.18267i | 0.420303 | + | 0.165077i | ||||
\(643\) | 4.42331 | 0.174438 | 0.0872191 | − | 0.996189i | \(-0.472202\pi\) | ||||
0.0872191 | + | 0.996189i | \(0.472202\pi\) | |||||||
\(644\) | 1.07166 | + | 12.0709i | 0.0422294 | + | 0.475661i | ||||
\(645\) | −14.0736 | − | 39.6881i | −0.554149 | − | 1.56272i | ||||
\(646\) | 9.25095 | + | 3.63337i | 0.363974 | + | 0.142953i | ||||
\(647\) | 0.327418 | − | 0.189035i | 0.0128721 | − | 0.00743172i | −0.493550 | − | 0.869717i | \(-0.664301\pi\) |
0.506422 | + | 0.862286i | \(0.330968\pi\) | |||||||
\(648\) | 25.2720 | + | 17.2577i | 0.992778 | + | 0.677946i | ||||
\(649\) | −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 | \(0.826205\pi\) | |||||||
\(654\) | 5.01482 | − | 3.99716i | 0.196095 | − | 0.156301i | ||||
\(655\) | 11.8821 | − | 13.9244i | 0.464273 | − | 0.544071i | ||||
\(656\) | −0.650492 | + | 0.0480995i | −0.0253974 | + | 0.00187797i | ||||
\(657\) | 19.5786 | 0.763832 | ||||||||
\(658\) | −16.5150 | − | 33.1004i | −0.643820 | − | 1.29039i | ||||
\(659\) | −24.4018 | −0.950557 | −0.475279 | − | 0.879835i | \(-0.657653\pi\) | ||||
−0.475279 | + | 0.879835i | \(0.657653\pi\) | |||||||
\(660\) | −1.06740 | − | 9.17018i | −0.0415484 | − | 0.356949i | ||||
\(661\) | −14.4940 | − | 25.1043i | −0.563751 | − | 0.976445i | −0.997165 | − | 0.0752499i | \(-0.976025\pi\) |
0.433414 | − | 0.901195i | \(-0.357309\pi\) | |||||||
\(662\) | −4.14597 | − | 5.20153i | −0.161138 | − | 0.202163i | ||||
\(663\) | 70.1487 | + | 40.5004i | 2.72435 | + | 1.57290i | ||||
\(664\) | 19.9054 | − | 9.56773i | 0.772480 | − | 0.371300i | ||||
\(665\) | 4.01697 | + | 5.23809i | 0.155771 | + | 0.203124i | ||||
\(666\) | −4.76168 | + | 0.716502i | −0.184511 | + | 0.0277639i | ||||
\(667\) | 12.3257 | + | 7.11626i | 0.477254 | + | 0.275543i | ||||
\(668\) | 0.389009 | − | 0.418836i | 0.0150512 | − | 0.0162052i | ||||
\(669\) | −34.7971 | + | 20.0901i | −1.34533 | + | 0.776728i | ||||
\(670\) | 22.2423 | + | 0.744829i | 0.859296 | + | 0.0287753i | ||||
\(671\) | 1.77683 | 0.0685938 | ||||||||
\(672\) | 33.9819 | − | 0.441965i | 1.31088 | − | 0.0170492i | ||||
\(673\) | − | 1.93910i | − | 0.0747467i | −0.999301 | − | 0.0373733i | \(-0.988101\pi\) | ||
0.999301 | − | 0.0373733i | \(-0.0118991\pi\) | |||||||
\(674\) | 13.2100 | + | 5.18833i | 0.508831 | + | 0.199847i | ||||
\(675\) | −8.94800 | − | 3.42593i | −0.344409 | − | 0.131864i | ||||
\(676\) | 27.9533 | + | 25.9627i | 1.07513 | + | 0.998564i | ||||
\(677\) | 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 | ||||
\(682\) | 2.27451 | + | 2.85360i | 0.0870956 | + | 0.109270i | ||||
\(683\) | −32.6952 | + | 18.8766i | −1.25105 | + | 0.722293i | −0.971318 | − | 0.237786i | \(-0.923578\pi\) |
−0.279730 | + | 0.960079i | \(0.590245\pi\) | |||||||
\(684\) | −4.69025 | − | 1.07297i | −0.179336 | − | 0.0410258i | ||||
\(685\) | −3.82419 | − | 10.7843i | −0.146115 | − | 0.412048i | ||||
\(686\) | 14.0473 | + | 22.1059i | 0.536330 | + | 0.844009i | ||||
\(687\) | −15.7117 | −0.599440 | ||||||||
\(688\) | −33.0835 | + | 2.44630i | −1.26130 | + | 0.0932644i | ||||
\(689\) | 25.1618 | − | 14.5272i | 0.958588 | − | 0.553441i | ||||
\(690\) | 13.9584 | + | 8.69439i | 0.531386 | + | 0.330990i | ||||
\(691\) | 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 | ||||
\(695\) | 39.3951 | + | 7.28380i | 1.49434 | + | 0.276290i | ||||
\(696\) | 22.5086 | − | 32.9614i | 0.853186 | − | 1.24940i | ||||
\(697\) | −0.889491 | + | 0.513548i | −0.0336919 | + | 0.0194520i | ||||
\(698\) | −3.13677 | + | 7.98654i | −0.118728 | + | 0.302295i | ||||
\(699\) | − | 9.93606i | − | 0.375816i | ||||||
\(700\) | −25.6578 | + | 6.45578i | −0.969774 | + | 0.244005i | ||||
\(701\) | − | 20.2036i | − | 0.763080i | −0.924352 | − | 0.381540i | \(-0.875394\pi\) | ||
0.924352 | − | 0.381540i | \(-0.124606\pi\) | |||||||
\(702\) | 14.2859 | + | 5.61089i | 0.539187 | + | 0.211770i | ||||
\(703\) | −1.52599 | + | 0.881028i | −0.0575536 | + | 0.0332286i | ||||
\(704\) | −7.19017 | − | 1.09468i | −0.270990 | − | 0.0412572i | ||||
\(705\) | −49.3612 | − | 9.12645i | −1.85905 | − | 0.343722i | ||||
\(706\) | −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 | 0.262871 | − | 0.964831i | \(-0.415331\pi\) |
−0.704133 | + | 0.710068i | \(0.748664\pi\) | |||||||
\(710\) | 1.35674 | − | 2.17817i | 0.0509175 | − | 0.0817452i | ||||
\(711\) | −21.1778 | + | 12.2270i | −0.794231 | + | 0.458549i | ||||
\(712\) | 40.4167 | + | 3.05902i | 1.51468 | + | 0.114642i | ||||
\(713\) | −6.50010 | −0.243431 | ||||||||
\(714\) | 47.8849 | − | 23.8914i | 1.79205 | − | 0.894115i | ||||
\(715\) | −3.84787 | − | 10.8511i | −0.143902 | − | 0.405809i | ||||
\(716\) | 0.625930 | − | 2.73613i | 0.0233921 | − | 0.102254i | ||||
\(717\) | −27.8326 | + | 16.0691i | −1.03943 | + | 0.600113i | ||||
\(718\) | −5.70380 | + | 4.54632i | −0.212864 | + | 0.169667i | ||||
\(719\) | −20.1941 | + | 34.9772i | −0.753113 | + | 1.30443i | 0.193194 | + | 0.981161i | \(0.438115\pi\) |
−0.946307 | + | 0.323270i | \(0.895218\pi\) | |||||||
\(720\) | 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 | ||||
\(724\) | −22.5409 | − | 20.9357i | −0.837728 | − | 0.778070i | ||||
\(725\) | −11.1105 | + | 29.0189i | −0.412633 | + | 1.07774i | ||||
\(726\) | −11.9431 | + | 30.4084i | −0.443250 | + | 1.12856i | ||||
\(727\) | 7.15590i | 0.265397i | 0.991156 | + | 0.132699i | \(0.0423643\pi\) | ||||
−0.991156 | + | 0.132699i | \(0.957636\pi\) | |||||||
\(728\) | 41.1880 | − | 9.98777i | 1.52653 | − | 0.370172i | ||||
\(729\) | −10.2739 | −0.380516 | ||||||||
\(730\) | −0.961056 | + | 28.6993i | −0.0355703 | + | 1.06221i | ||||
\(731\) | −45.2388 | + | 26.1186i | −1.67322 | + | 0.966033i | ||||
\(732\) | 6.50348 | + | 6.04035i | 0.240376 | + | 0.223258i | ||||
\(733\) | −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 | ||||
\(735\) | 35.4297 | + | 2.82400i | 1.30684 | + | 0.104165i | ||||
\(736\) | 9.50768 | − | 8.79995i | 0.350458 | − | 0.324370i | ||||
\(737\) | 5.54089 | + | 3.19903i | 0.204101 | + | 0.117838i | ||||
\(738\) | 0.388817 | − | 0.309914i | 0.0143126 | − | 0.0114081i | ||||
\(739\) | −16.4535 | − | 28.4983i | −0.605252 | − | 1.04833i | −0.992012 | − | 0.126147i | \(-0.959739\pi\) |
0.386760 | − | 0.922181i | \(-0.373594\pi\) | |||||||
\(740\) | −0.816551 | − | 7.01511i | −0.0300170 | − | 0.257881i | ||||
\(741\) | −14.3490 | −0.527124 | ||||||||
\(742\) | 1.16642 | − | 19.1596i | 0.0428205 | − | 0.703372i | ||||
\(743\) | −22.3184 | −0.818782 | −0.409391 | − | 0.912359i | \(-0.634259\pi\) | ||||
−0.409391 | + | 0.912359i | \(0.634259\pi\) | |||||||
\(744\) | −1.37575 | + | 18.1768i | −0.0504375 | + | 0.666395i | ||||
\(745\) | −10.3409 | + | 12.1183i | −0.378861 | + | 0.443979i | ||||
\(746\) | 5.52845 | + | 6.93599i | 0.202411 | + | 0.253944i | ||||
\(747\) | −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 | −0.446968 | − | 0.894550i | \(-0.647496\pi\) |
−0.998187 | + | 0.0601891i | \(0.980830\pi\) | |||||||
\(752\) | −17.1936 | + | 35.6125i | −0.626984 | + | 1.29865i | ||||
\(753\) | −12.0549 | + | 6.95993i | −0.439307 | + | 0.253634i | ||||
\(754\) | 18.1965 | − | 46.3301i | 0.662676 | − | 1.68724i | ||||
\(755\) | −2.12767 | − | 6.00009i | −0.0774338 | − | 0.218366i | ||||
\(756\) | 8.29876 | − | 5.82672i | 0.301823 | − | 0.211916i | ||||
\(757\) | −28.8916 | −1.05008 | −0.525042 | − | 0.851076i | \(-0.675950\pi\) | ||||
−0.525042 | + | 0.851076i | \(0.675950\pi\) | |||||||
\(758\) | 12.6643 | − | 32.2446i | 0.459988 | − | 1.17118i | ||||
\(759\) | 2.36386 | + | 4.09432i | 0.0858027 | + | 0.148615i | ||||
\(760\) | 1.80304 | − | 6.82257i | 0.0654033 | − | 0.247481i | ||||
\(761\) | 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 | ||||
\(765\) | 5.52093 | − | 29.8604i | 0.199610 | − | 1.07961i | ||||
\(766\) | 9.55687 | − | 7.61748i | 0.345304 | − | 0.275231i | ||||
\(767\) | −32.6252 | − | 56.5085i | −1.17803 | − | 2.04040i | ||||
\(768\) | −22.5958 | − | 28.4497i | −0.815356 | − | 1.02659i | ||||
\(769\) | − | 8.89606i | − | 0.320800i | −0.987052 | − | 0.160400i | \(-0.948722\pi\) | ||
0.987052 | − | 0.160400i | \(-0.0512784\pi\) | |||||||
\(770\) | −7.38169 | − | 1.83485i | −0.266018 | − | 0.0661234i | ||||
\(771\) | 14.5802 | 0.525092 | ||||||||
\(772\) | −32.2908 | − | 7.38700i | −1.16217 | − | 0.265864i | ||||
\(773\) | −24.6869 | + | 14.2530i | −0.887925 | + | 0.512644i | −0.873263 | − | 0.487249i | \(-0.838001\pi\) |
−0.0146619 | + | 0.999893i | \(0.504667\pi\) | |||||||
\(774\) | 19.7749 | − | 15.7620i | 0.710795 | − | 0.566552i | ||||
\(775\) | −2.23216 | − | 14.0147i | −0.0801815 | − | 0.503423i | ||||
\(776\) | −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 | ||||
\(780\) | 22.8046 | − | 52.7977i | 0.816536 | − | 1.89046i | ||||
\(781\) | 0.638909 | − | 0.368874i | 0.0228620 | − | 0.0131994i | ||||
\(782\) | 7.45760 | − | 18.9878i | 0.266683 | − | 0.679003i | ||||
\(783\) | − | 11.9090i | − | 0.425593i | ||||||
\(784\) | 9.50909 | − | 26.3359i | 0.339610 | − | 0.940566i | ||||
\(785\) | 9.84011 | + | 27.7494i | 0.351209 | + | 0.990419i | ||||
\(786\) | 24.4686 | + | 9.61020i | 0.872764 | + | 0.342784i | ||||
\(787\) | 21.7112 | + | 37.6050i | 0.773922 | + | 1.34047i | 0.935398 | + | 0.353595i | \(0.115041\pi\) |
−0.161477 | + | 0.986877i | \(0.551626\pi\) | |||||||
\(788\) | −23.6439 | − | 21.9601i | −0.842278 | − | 0.782297i | ||||
\(789\) | −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 | ||||
\(794\) | 17.2821 | − | 13.7750i | 0.613317 | − | 0.488856i | ||||
\(795\) | −19.8142 | − | 16.9081i | −0.702739 | − | 0.599670i | ||||
\(796\) | −9.73491 | + | 42.5542i | −0.345045 | + | 1.50829i | ||||
\(797\) | − | 11.3329i | − | 0.401432i | −0.979649 | − | 0.200716i | \(-0.935673\pi\) | ||
0.979649 | − | 0.200716i | \(-0.0643268\pi\) | |||||||
\(798\) | −5.23005 | + | 7.90660i | −0.185142 | + | 0.279890i | ||||
\(799\) | 62.2708i | 2.20298i | ||||||||
\(800\) | 22.2383 | + | 17.4773i | 0.786243 | + | 0.617917i | ||||
\(801\) | −26.7579 | + | 15.4487i | −0.945444 | + | 0.545853i | ||||
\(802\) | −23.6640 | − | 29.6888i | −0.835604 | − | 1.04835i | ||||
\(803\) | −4.12772 | + | 7.14942i | −0.145664 | + | 0.252298i | ||||
\(804\) | 9.40539 | + | 30.5452i | 0.331702 | + | 1.07725i | ||||
\(805\) | 10.7513 | − | 8.24494i | 0.378934 | − | 0.290596i | ||||
\(806\) | 3.38258 | + | 22.4797i | 0.119146 | + | 0.791815i | ||||
\(807\) | −1.71515 | + | 2.97073i | −0.0603762 | + | 0.104575i | ||||
\(808\) | −40.6082 | − | 27.7304i | −1.42859 | − | 0.975553i | ||||
\(809\) | −27.3202 | − | 47.3199i | −0.960526 | − | 1.66368i | −0.721183 | − | 0.692745i | \(-0.756401\pi\) |
−0.239343 | − | 0.970935i | \(-0.576932\pi\) | |||||||
\(810\) | 1.14510 | − | 34.1953i | 0.0402347 | − | 1.20150i | ||||
\(811\) | 34.1338i | 1.19860i | 0.800525 | + | 0.599300i | \(0.204554\pi\) | ||||
−0.800525 | + | 0.599300i | \(0.795446\pi\) | |||||||
\(812\) | −18.8964 | − | 26.9134i | −0.663134 | − | 0.944475i | ||||
\(813\) | 39.3410 | 1.37975 | ||||||||
\(814\) | 0.742257 | − | 1.88986i | 0.0260161 | − | 0.0662397i | ||||
\(815\) | 24.9852 | − | 29.2796i | 0.875193 | − | 1.02562i | ||||
\(816\) | −51.5190 | − | 24.8731i | −1.80352 | − | 0.870734i | ||||
\(817\) | 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 | 0.825032 | − | 0.565087i | \(-0.191157\pi\) |
−0.0768637 | + | 0.997042i | \(0.524491\pi\) | |||||||
\(822\) | 12.8500 | − | 10.2423i | 0.448194 | − | 0.357241i | ||||
\(823\) | −12.2123 | − | 21.1523i | −0.425694 | − | 0.737324i | 0.570791 | − | 0.821096i | \(-0.306637\pi\) |
−0.996485 | + | 0.0837714i | \(0.973303\pi\) | |||||||
\(824\) | −5.10002 | − | 0.386006i | −0.177668 | − | 0.0134471i | ||||
\(825\) | −8.01591 | + | 6.50266i | −0.279078 | + | 0.226394i | ||||
\(826\) | −43.0288 | − | 2.61954i | −1.49716 | − | 0.0911456i | ||||
\(827\) | − | 20.7945i | − | 0.723096i | −0.932353 | − | 0.361548i | \(-0.882248\pi\) | ||
0.932353 | − | 0.361548i | \(-0.117752\pi\) | |||||||
\(828\) | −2.20229 | + | 9.62687i | −0.0765348 | + | 0.334557i | ||||
\(829\) | 21.8195 | + | 37.7924i | 0.757822 | + | 1.31259i | 0.943959 | + | 0.330062i | \(0.107070\pi\) |
−0.186137 | + | 0.982524i | \(0.559597\pi\) | |||||||
\(830\) | −20.9590 | − | 13.0549i | −0.727496 | − | 0.453143i | ||||
\(831\) | 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 | ||||
\(835\) | −0.628441 | − | 0.116193i | −0.0217481 | − | 0.00402103i | ||||
\(836\) | 1.38065 | − | 1.48651i | 0.0477508 | − | 0.0514120i | ||||
\(837\) | 2.71947 | + | 4.71026i | 0.0939986 | + | 0.162810i | ||||
\(838\) | 7.86144 | + | 3.08763i | 0.271569 | + | 0.106661i | ||||
\(839\) | −25.4129 | −0.877351 | −0.438675 | − | 0.898646i | \(-0.644552\pi\) | ||||
−0.438675 | + | 0.898646i | \(0.644552\pi\) | |||||||
\(840\) | −20.7806 | − | 31.8099i | −0.716997 | − | 1.09755i | ||||
\(841\) | −9.62161 | −0.331779 | ||||||||
\(842\) | −26.3968 | − | 10.3675i | −0.909695 | − | 0.357289i | ||||
\(843\) | 18.9065 | + | 32.7470i | 0.651174 | + | 1.12787i | ||||
\(844\) | 14.3116 | + | 13.2924i | 0.492624 | + | 0.457543i | ||||
\(845\) | 7.75479 | − | 41.9425i | 0.266773 | − | 1.44287i | ||||
\(846\) | −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 | ||||
\(850\) | 43.5001 | + | 9.55865i | 1.49204 | + | 0.327859i | ||||
\(851\) | 1.80833 | + | 3.13212i | 0.0619888 | + | 0.107368i | ||||
\(852\) | 3.59250 | + | 0.821837i | 0.123077 | + | 0.0281557i | ||||
\(853\) | 3.10531i | 0.106324i | 0.998586 | + | 0.0531619i | \(0.0169299\pi\) | ||||
−0.998586 | + | 0.0531619i | \(0.983070\pi\) | |||||||
\(854\) | 6.54357 | − | 3.26482i | 0.223916 | − | 0.111720i | ||||
\(855\) | 1.79785 | + | 5.07000i | 0.0614853 | + | 0.173390i | ||||
\(856\) | −10.0487 | − | 0.760558i | −0.343458 | − | 0.0259953i | ||||
\(857\) | 11.1563 | + | 19.3233i | 0.381093 | + | 0.660072i | 0.991219 | − | 0.132233i | \(-0.0422146\pi\) |
−0.610126 | + | 0.792304i | \(0.708881\pi\) | |||||||
\(858\) | 12.9296 | − | 10.3057i | 0.441408 | − | 0.351832i | ||||
\(859\) | 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 | \(-0.0353902\pi\) | |||||||
\(864\) | −10.3546 | − | 3.20802i | −0.352270 | − | 0.109139i | ||||
\(865\) | 27.9630 | − | 32.7692i | 0.950772 | − | 1.11419i | ||||
\(866\) | −7.97465 | + | 20.3043i | −0.270989 | + | 0.689967i | ||||
\(867\) | −51.4825 | −1.74844 | ||||||||
\(868\) | 13.6197 | + | 6.32973i | 0.462283 | + | 0.214845i | ||||
\(869\) | − | 10.3112i | − | 0.349785i | ||||||
\(870\) | −44.5997 | − | 1.49351i | −1.51207 | − | 0.0506348i | ||||
\(871\) | 19.9286 | + | 34.5174i | 0.675256 | + | 1.16958i | ||||
\(872\) | −3.18533 | + | 4.66457i | −0.107869 | + | 0.157962i | ||||
\(873\) | 10.7780 | − | 18.6680i | 0.364779 | − | 0.631816i | ||||
\(874\) | 0.537718 | + | 3.57353i | 0.0181886 | + | 0.120876i | ||||
\(875\) | 21.4687 | + | 20.3493i | 0.725776 | + | 0.687931i | ||||
\(876\) | −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 | \(0.931805\pi\) | |||||||
\(878\) | 15.0661 | + | 18.9019i | 0.508456 | + | 0.637908i | ||||
\(879\) | −17.0359 | + | 9.83567i | −0.574606 | + | 0.331749i | ||||
\(880\) | 3.27542 | + | 7.44263i | 0.110414 | + | 0.250891i | ||||
\(881\) | 32.2170i | 1.08542i | 0.839921 | + | 0.542709i | \(0.182601\pi\) | ||||
−0.839921 | + | 0.542709i | \(0.817399\pi\) | |||||||
\(882\) | 5.33519 | + | 20.6666i | 0.179645 | + | 0.695880i | ||||
\(883\) | 57.8919i | 1.94822i | 0.226080 | + | 0.974109i | \(0.427409\pi\) | ||||
−0.226080 | + | 0.974109i | \(0.572591\pi\) | |||||||
\(884\) | −69.5477 | − | 15.9101i | −2.33914 | − | 0.535113i | ||||
\(885\) | −37.9724 | + | 44.4989i | −1.27643 | + | 1.49582i | ||||
\(886\) | 43.8825 | − | 34.9774i | 1.47426 | − | 1.17509i | ||||
\(887\) | −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 | ||||
\(892\) | 24.0842 | − | 25.9309i | 0.806400 | − | 0.868230i | ||||
\(893\) | −5.51553 | − | 9.55319i | −0.184570 | − | 0.319685i | ||||
\(894\) | −21.2948 | − | 8.36367i | −0.712203 | − | 0.279723i | ||||
\(895\) | −2.95766 | + | 1.04880i | −0.0988637 | + | 0.0350577i | ||||
\(896\) | −28.4908 | + | 9.18010i | −0.951811 | + | 0.306686i | ||||
\(897\) | 29.4517i | 0.983365i | ||||||||
\(898\) | 3.78590 | − | 9.63930i | 0.126337 | − | 0.321667i | ||||
\(899\) | 15.2756 | − | 8.81940i | 0.509471 | − | 0.294143i | ||||
\(900\) | −21.5125 | − | 1.44240i | −0.717084 | − | 0.0480799i | ||||
\(901\) | −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 | ||||
\(905\) | −6.25330 | + | 33.8215i | −0.207867 | + | 1.12427i | ||||
\(906\) | 7.14935 | − | 5.69852i | 0.237521 | − | 0.189321i | ||||
\(907\) | 9.48163 | − | 5.47422i | 0.314832 | − | 0.181769i | −0.334254 | − | 0.942483i | \(-0.608484\pi\) |
0.649087 | + | 0.760714i | \(0.275151\pi\) | |||||||
\(908\) | 7.81885 | − | 34.1786i | 0.259478 | − | 1.13426i | ||||
\(909\) | 37.4842 | 1.24327 | ||||||||
\(910\) | −34.1089 | − | 32.8914i | −1.13070 | − | 1.09034i | ||||
\(911\) | − | 10.3120i | − | 0.341653i | −0.985301 | − | 0.170827i | \(-0.945356\pi\) | ||
0.985301 | − | 0.170827i | \(-0.0546438\pi\) | |||||||
\(912\) | 10.1068 | − | 0.747330i | 0.334670 | − | 0.0247466i | ||||
\(913\) | −3.54941 | − | 6.14776i | −0.117468 | − | 0.203461i | ||||
\(914\) | 26.8929 | − | 21.4355i | 0.889539 | − | 0.709023i | ||||
\(915\) | 1.80419 | − | 9.75814i | 0.0596448 | − | 0.322594i | ||||
\(916\) | 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 | −0.398459 | − | 0.917186i | \(-0.630455\pi\) |
−0.993536 | + | 0.113518i | \(0.963788\pi\) | |||||||
\(920\) | −14.0035 | − | 3.70079i | −0.461682 | − | 0.122012i | ||||
\(921\) | 13.2679 | + | 22.9808i | 0.437194 | + | 0.757242i | ||||
\(922\) | 8.46697 | − | 21.5578i | 0.278845 | − | 0.709968i | ||||
\(923\) | 4.59587 | 0.151275 | ||||||||
\(924\) | −0.965998 | − | 10.8808i | −0.0317790 | − | 0.357951i | ||||
\(925\) | −6.13210 | + | 4.97448i | −0.201622 | + | 0.163560i | ||||
\(926\) | 0.850181 | − | 2.16465i | 0.0279387 | − | 0.0711348i | ||||
\(927\) | 3.37647 | − | 1.94941i | 0.110898 | − | 0.0640270i | ||||
\(928\) | −10.4038 | + | 33.5805i | −0.341521 | + | 1.10234i | ||||
\(929\) | 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 | ||||
\(934\) | −14.0419 | − | 17.6169i | −0.459465 | − | 0.576443i | ||||
\(935\) | 9.74005 | + | 8.31150i | 0.318534 | + | 0.271815i | ||||
\(936\) | 34.4393 | + | 2.60661i | 1.12568 | + | 0.0851996i | ||||
\(937\) | 1.16006 | 0.0378974 | 0.0189487 | − | 0.999820i | \(-0.493968\pi\) | ||||
0.0189487 | + | 0.999820i | \(0.493968\pi\) | |||||||
\(938\) | 26.2836 | + | 1.60011i | 0.858189 | + | 0.0522455i | ||||
\(939\) | −57.6814 | −1.88236 | ||||||||
\(940\) | 43.9170 | − | 5.11189i | 1.43241 | − | 0.166731i | ||||
\(941\) | −4.49867 | − | 7.79192i | −0.146652 | − | 0.254009i | 0.783336 | − | 0.621599i | \(-0.213517\pi\) |
−0.929988 | + | 0.367589i | \(0.880183\pi\) | |||||||
\(942\) | −33.0646 | + | 26.3547i | −1.07730 | + | 0.858683i | ||||
\(943\) | −0.323417 | − | 0.186725i | −0.0105319 | − | 0.00608060i | ||||
\(944\) | 25.9228 | + | 38.1028i | 0.843716 | + | 1.24014i | ||||
\(945\) | −10.4727 | − | 4.34141i | −0.340677 | − | 0.141226i | ||||
\(946\) | 1.58661 | + | 10.5442i | 0.0515852 | + | 0.342822i | ||||
\(947\) | −19.2076 | − | 11.0895i | −0.624165 | − | 0.360362i | 0.154324 | − | 0.988020i | \(-0.450680\pi\) |
−0.778489 | + | 0.627659i | \(0.784013\pi\) | |||||||
\(948\) | 35.0531 | − | 37.7407i | 1.13847 | − | 1.22576i | ||||
\(949\) | −44.5380 | + | 25.7140i | −1.44576 | + | 0.834712i | ||||
\(950\) | −7.52014 | + | 2.38652i | −0.243986 | + | 0.0774290i | ||||
\(951\) | −54.1024 | −1.75439 | ||||||||
\(952\) | −34.1161 | + | 32.5231i | −1.10571 | + | 1.05408i | ||||
\(953\) | 31.9975i | 1.03650i | 0.855229 | + | 0.518250i | \(0.173416\pi\) | ||||
−0.855229 | + | 0.518250i | \(0.826584\pi\) | |||||||
\(954\) | 5.71846 | − | 14.5598i | 0.185142 | − | 0.471391i | ||||
\(955\) | 32.6131 | − | 38.2185i | 1.05533 | − | 1.23672i | ||||
\(956\) | 19.2639 | − | 20.7409i | 0.623038 | − | 0.670809i | ||||
\(957\) | −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 | ||||
\(962\) | 9.89100 | − | 7.88380i | 0.318899 | − | 0.254184i | ||||
\(963\) | 6.65276 | − | 3.84097i | 0.214382 | − | 0.123774i | ||||
\(964\) | −30.1951 | − | 6.90758i | −0.972519 | − | 0.222478i | ||||
\(965\) | 12.3776 | + | 34.9052i | 0.398449 | + | 1.12364i | ||||
\(966\) | 16.2285 | + | 10.7348i | 0.522143 | + | 0.345387i | ||||
\(967\) | 40.0936 | 1.28932 | 0.644662 | − | 0.764468i | \(-0.276998\pi\) | ||||
0.644662 | + | 0.764468i | \(0.276998\pi\) | |||||||
\(968\) | 2.17168 | − | 28.6929i | 0.0698004 | − | 0.922225i | ||||
\(969\) | 13.8202 | − | 7.97908i | 0.443968 | − | 0.256325i | ||||
\(970\) | 26.8355 | + | 16.7153i | 0.861637 | + | 0.536696i | ||||
\(971\) | −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 | ||||
\(975\) | −63.5001 | + | 10.1138i | −2.03363 | + | 0.323902i | ||||
\(976\) | −7.04017 | − | 3.39897i | −0.225350 | − | 0.108798i | ||||
\(977\) | −48.2743 | + | 27.8712i | −1.54443 | + | 0.891678i | −0.545881 | + | 0.837863i | \(0.683805\pi\) |
−0.998551 | + | 0.0538151i | \(0.982862\pi\) | |||||||
\(978\) | 51.4514 | + | 20.2079i | 1.64523 | + | 0.646177i | ||||
\(979\) | − | 13.0281i | − | 0.416380i | ||||||
\(980\) | −30.5561 | + | 6.80615i | −0.976079 | + | 0.217414i | ||||
\(981\) | − | 4.30573i | − | 0.137471i | ||||||
\(982\) | −9.68536 | + | 24.6599i | −0.309072 | + | 0.786930i | ||||
\(983\) | −39.4861 | + | 22.7973i | −1.25941 | + | 0.727122i | −0.972960 | − | 0.230973i | \(-0.925809\pi\) |
−0.286452 | + | 0.958095i | \(0.592476\pi\) | |||||||
\(984\) | −0.590608 | + | 0.864881i | −0.0188279 | + | 0.0275714i | ||||
\(985\) | −6.55927 | + | 35.4764i | −0.208996 | + | 1.13037i | ||||
\(986\) | 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 | ||||
\(990\) | −5.26137 | − | 3.27720i | −0.167217 | − | 0.104156i | ||||
\(991\) | −30.9667 | + | 17.8786i | −0.983689 | + | 0.567933i | −0.903382 | − | 0.428837i | \(-0.858923\pi\) |
−0.0803071 | + | 0.996770i | \(0.525590\pi\) | |||||||
\(992\) | −3.55333 | − | 15.6575i | −0.112818 | − | 0.497128i | ||||
\(993\) | −10.6801 | −0.338924 | ||||||||
\(994\) | 1.67514 | − | 2.53242i | 0.0531322 | − | 0.0803233i | ||||
\(995\) | 45.9996 | − | 16.3117i | 1.45829 | − | 0.517117i | ||||
\(996\) | 7.90795 | − | 34.5680i | 0.250573 | − | 1.09533i | ||||
\(997\) | 9.48099 | − | 5.47385i | 0.300266 | − | 0.173359i | −0.342296 | − | 0.939592i | \(-0.611205\pi\) |
0.642562 | + | 0.766233i | \(0.277871\pi\) | |||||||
\(998\) | 22.0027 | + | 27.6045i | 0.696483 | + | 0.873807i | ||||
\(999\) | 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.19.15 | yes | 80 | |
4.3 | odd | 2 | 1120.2.bq.b.719.8 | 80 | |||
5.4 | even | 2 | inner | 280.2.ba.b.19.26 | yes | 80 | |
7.3 | odd | 6 | inner | 280.2.ba.b.59.13 | yes | 80 | |
8.3 | odd | 2 | inner | 280.2.ba.b.19.28 | yes | 80 | |
8.5 | even | 2 | 1120.2.bq.b.719.7 | 80 | |||
20.19 | odd | 2 | 1120.2.bq.b.719.34 | 80 | |||
28.3 | even | 6 | 1120.2.bq.b.1039.33 | 80 | |||
35.24 | odd | 6 | inner | 280.2.ba.b.59.28 | yes | 80 | |
40.19 | odd | 2 | inner | 280.2.ba.b.19.13 | ✓ | 80 | |
40.29 | even | 2 | 1120.2.bq.b.719.33 | 80 | |||
56.3 | even | 6 | inner | 280.2.ba.b.59.26 | yes | 80 | |
56.45 | odd | 6 | 1120.2.bq.b.1039.34 | 80 | |||
140.59 | even | 6 | 1120.2.bq.b.1039.7 | 80 | |||
280.59 | even | 6 | inner | 280.2.ba.b.59.15 | yes | 80 | |
280.269 | odd | 6 | 1120.2.bq.b.1039.8 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.ba.b.19.13 | ✓ | 80 | 40.19 | odd | 2 | inner | |
280.2.ba.b.19.15 | yes | 80 | 1.1 | even | 1 | trivial | |
280.2.ba.b.19.26 | yes | 80 | 5.4 | even | 2 | inner | |
280.2.ba.b.19.28 | yes | 80 | 8.3 | odd | 2 | inner | |
280.2.ba.b.59.13 | yes | 80 | 7.3 | odd | 6 | inner | |
280.2.ba.b.59.15 | yes | 80 | 280.59 | even | 6 | inner | |
280.2.ba.b.59.26 | yes | 80 | 56.3 | even | 6 | inner | |
280.2.ba.b.59.28 | yes | 80 | 35.24 | odd | 6 | inner | |
1120.2.bq.b.719.7 | 80 | 8.5 | even | 2 | |||
1120.2.bq.b.719.8 | 80 | 4.3 | odd | 2 | |||
1120.2.bq.b.719.33 | 80 | 40.29 | even | 2 | |||
1120.2.bq.b.719.34 | 80 | 20.19 | odd | 2 | |||
1120.2.bq.b.1039.7 | 80 | 140.59 | even | 6 | |||
1120.2.bq.b.1039.8 | 80 | 280.269 | odd | 6 | |||
1120.2.bq.b.1039.33 | 80 | 28.3 | even | 6 | |||
1120.2.bq.b.1039.34 | 80 | 56.45 | odd | 6 |