Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 463.1 | ||
Character | \(\chi\) | \(=\) | 966.463 |
Dual form | 966.2.q.h.169.1 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | + | 0.989821i | 0.100632 | + | 0.699909i | ||||
\(3\) | −0.415415 | + | 0.909632i | −0.239840 | + | 0.525176i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −0.257442 | + | 0.297104i | −0.115132 | + | 0.132869i | −0.810390 | − | 0.585891i | \(-0.800745\pi\) |
0.695258 | + | 0.718760i | \(0.255290\pi\) | |||||||
\(6\) | −0.959493 | − | 0.281733i | −0.391711 | − | 0.115017i | ||||
\(7\) | 0.841254 | − | 0.540641i | 0.317964 | − | 0.204343i | ||||
\(8\) | −0.415415 | − | 0.909632i | −0.146871 | − | 0.321603i | ||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | −0.330718 | − | 0.212539i | −0.104582 | − | 0.0672109i | ||||
\(11\) | 0.869049 | − | 6.04437i | 0.262028 | − | 1.82245i | −0.255533 | − | 0.966800i | \(-0.582251\pi\) |
0.517561 | − | 0.855646i | \(-0.326840\pi\) | |||||||
\(12\) | 0.142315 | − | 0.989821i | 0.0410828 | − | 0.285737i | ||||
\(13\) | 2.02990 | + | 1.30454i | 0.562994 | + | 0.361814i | 0.790972 | − | 0.611852i | \(-0.209575\pi\) |
−0.227978 | + | 0.973666i | \(0.573212\pi\) | |||||||
\(14\) | 0.654861 | + | 0.755750i | 0.175019 | + | 0.201983i | ||||
\(15\) | −0.163310 | − | 0.357599i | −0.0421665 | − | 0.0923317i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 6.39260 | + | 1.87704i | 1.55043 | + | 0.455248i | 0.941230 | − | 0.337766i | \(-0.109671\pi\) |
0.609203 | + | 0.793015i | \(0.291490\pi\) | |||||||
\(18\) | 0.654861 | − | 0.755750i | 0.154352 | − | 0.178132i | ||||
\(19\) | −0.509719 | + | 0.149667i | −0.116937 | + | 0.0343359i | −0.339678 | − | 0.940542i | \(-0.610318\pi\) |
0.222740 | + | 0.974878i | \(0.428500\pi\) | |||||||
\(20\) | 0.163310 | − | 0.357599i | 0.0365172 | − | 0.0799616i | ||||
\(21\) | 0.142315 | + | 0.989821i | 0.0310556 | + | 0.215997i | ||||
\(22\) | 6.10653 | 1.30192 | ||||||||
\(23\) | 4.11493 | + | 2.46319i | 0.858023 | + | 0.513611i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | 0.689580 | + | 4.79613i | 0.137916 | + | 0.959227i | ||||
\(26\) | −1.00238 | + | 2.19490i | −0.196582 | + | 0.430455i | ||||
\(27\) | 0.959493 | − | 0.281733i | 0.184655 | − | 0.0542195i | ||||
\(28\) | −0.654861 | + | 0.755750i | −0.123757 | + | 0.142823i | ||||
\(29\) | 4.21223 | + | 1.23682i | 0.782192 | + | 0.229672i | 0.648362 | − | 0.761332i | \(-0.275454\pi\) |
0.133830 | + | 0.991004i | \(0.457272\pi\) | |||||||
\(30\) | 0.330718 | − | 0.212539i | 0.0603806 | − | 0.0388042i | ||||
\(31\) | −1.82886 | − | 4.00464i | −0.328473 | − | 0.719255i | 0.671287 | − | 0.741198i | \(-0.265742\pi\) |
−0.999759 | + | 0.0219433i | \(0.993015\pi\) | |||||||
\(32\) | 0.654861 | + | 0.755750i | 0.115764 | + | 0.133599i | ||||
\(33\) | 5.13714 | + | 3.30144i | 0.894261 | + | 0.574707i | ||||
\(34\) | −0.948169 | + | 6.59466i | −0.162610 | + | 1.13097i | ||||
\(35\) | −0.0559475 | + | 0.389124i | −0.00945686 | + | 0.0657739i | ||||
\(36\) | 0.841254 | + | 0.540641i | 0.140209 | + | 0.0901068i | ||||
\(37\) | −6.36314 | − | 7.34345i | −1.04609 | − | 1.20726i | −0.977789 | − | 0.209592i | \(-0.932786\pi\) |
−0.0683047 | − | 0.997665i | \(-0.521759\pi\) | |||||||
\(38\) | −0.220684 | − | 0.483231i | −0.0357997 | − | 0.0783904i | ||||
\(39\) | −2.02990 | + | 1.30454i | −0.325045 | + | 0.208894i | ||||
\(40\) | 0.377201 | + | 0.110756i | 0.0596407 | + | 0.0175121i | ||||
\(41\) | −8.27342 | + | 9.54803i | −1.29209 | + | 1.49115i | −0.522457 | + | 0.852666i | \(0.674984\pi\) |
−0.769633 | + | 0.638486i | \(0.779561\pi\) | |||||||
\(42\) | −0.959493 | + | 0.281733i | −0.148053 | + | 0.0434723i | ||||
\(43\) | 2.31202 | − | 5.06262i | 0.352580 | − | 0.772042i | −0.647372 | − | 0.762175i | \(-0.724132\pi\) |
0.999951 | − | 0.00986733i | \(-0.00314092\pi\) | |||||||
\(44\) | 0.869049 | + | 6.04437i | 0.131014 | + | 0.911223i | ||||
\(45\) | 0.393125 | 0.0586036 | ||||||||
\(46\) | −1.85251 | + | 4.42360i | −0.273137 | + | 0.652224i | ||||
\(47\) | 6.17551 | 0.900791 | 0.450396 | − | 0.892829i | \(-0.351283\pi\) | ||||
0.450396 | + | 0.892829i | \(0.351283\pi\) | |||||||
\(48\) | 0.142315 | + | 0.989821i | 0.0205414 | + | 0.142868i | ||||
\(49\) | 0.415415 | − | 0.909632i | 0.0593450 | − | 0.129947i | ||||
\(50\) | −4.64918 | + | 1.36512i | −0.657493 | + | 0.193057i | ||||
\(51\) | −4.36299 | + | 5.03516i | −0.610941 | + | 0.705064i | ||||
\(52\) | −2.31521 | − | 0.679807i | −0.321062 | − | 0.0942722i | ||||
\(53\) | 0.220875 | − | 0.141948i | 0.0303396 | − | 0.0194981i | −0.525383 | − | 0.850866i | \(-0.676078\pi\) |
0.555723 | + | 0.831368i | \(0.312442\pi\) | |||||||
\(54\) | 0.415415 | + | 0.909632i | 0.0565308 | + | 0.123785i | ||||
\(55\) | 1.57208 | + | 1.81427i | 0.211979 | + | 0.244637i | ||||
\(56\) | −0.841254 | − | 0.540641i | −0.112417 | − | 0.0722462i | ||||
\(57\) | 0.0756030 | − | 0.525830i | 0.0100139 | − | 0.0696479i | ||||
\(58\) | −0.624771 | + | 4.34538i | −0.0820364 | + | 0.570576i | ||||
\(59\) | 5.61794 | + | 3.61043i | 0.731394 | + | 0.470038i | 0.852584 | − | 0.522591i | \(-0.175034\pi\) |
−0.121189 | + | 0.992629i | \(0.538671\pi\) | |||||||
\(60\) | 0.257442 | + | 0.297104i | 0.0332356 | + | 0.0383560i | ||||
\(61\) | −2.24548 | − | 4.91690i | −0.287504 | − | 0.629545i | 0.709682 | − | 0.704523i | \(-0.248839\pi\) |
−0.997185 | + | 0.0749774i | \(0.976112\pi\) | |||||||
\(62\) | 3.70360 | − | 2.38016i | 0.470358 | − | 0.302281i | ||||
\(63\) | −0.959493 | − | 0.281733i | −0.120885 | − | 0.0354950i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −0.910167 | + | 0.267249i | −0.112892 | + | 0.0331482i | ||||
\(66\) | −2.53674 | + | 5.55469i | −0.312251 | + | 0.683735i | ||||
\(67\) | −0.0133892 | − | 0.0931237i | −0.00163575 | − | 0.0113769i | 0.988987 | − | 0.148001i | \(-0.0472839\pi\) |
−0.990623 | + | 0.136624i | \(0.956375\pi\) | |||||||
\(68\) | −6.66247 | −0.807944 | ||||||||
\(69\) | −3.95001 | + | 2.71983i | −0.475525 | + | 0.327429i | ||||
\(70\) | −0.393125 | −0.0469874 | ||||||||
\(71\) | 1.54439 | + | 10.7414i | 0.183285 | + | 1.27477i | 0.848930 | + | 0.528506i | \(0.177247\pi\) |
−0.665645 | + | 0.746269i | \(0.731843\pi\) | |||||||
\(72\) | −0.415415 | + | 0.909632i | −0.0489571 | + | 0.107201i | ||||
\(73\) | 8.38666 | − | 2.46254i | 0.981584 | − | 0.288219i | 0.248706 | − | 0.968579i | \(-0.419995\pi\) |
0.732878 | + | 0.680360i | \(0.238177\pi\) | |||||||
\(74\) | 6.36314 | − | 7.34345i | 0.739700 | − | 0.853659i | ||||
\(75\) | −4.64918 | − | 1.36512i | −0.536841 | − | 0.157631i | ||||
\(76\) | 0.446905 | − | 0.287209i | 0.0512636 | − | 0.0329451i | ||||
\(77\) | −2.53674 | − | 5.55469i | −0.289089 | − | 0.633016i | ||||
\(78\) | −1.58015 | − | 1.82359i | −0.178916 | − | 0.206481i | ||||
\(79\) | 3.48125 | + | 2.23727i | 0.391672 | + | 0.251712i | 0.721624 | − | 0.692286i | \(-0.243396\pi\) |
−0.329952 | + | 0.943998i | \(0.607033\pi\) | |||||||
\(80\) | −0.0559475 | + | 0.389124i | −0.00625513 | + | 0.0435054i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | −10.6283 | − | 6.83038i | −1.17370 | − | 0.754289i | ||||
\(83\) | 6.62049 | + | 7.64045i | 0.726693 | + | 0.838649i | 0.992095 | − | 0.125489i | \(-0.0400501\pi\) |
−0.265402 | + | 0.964138i | \(0.585505\pi\) | |||||||
\(84\) | −0.415415 | − | 0.909632i | −0.0453255 | − | 0.0992490i | ||||
\(85\) | −2.20340 | + | 1.41604i | −0.238992 | + | 0.153591i | ||||
\(86\) | 5.34012 | + | 1.56800i | 0.575840 | + | 0.169082i | ||||
\(87\) | −2.87488 | + | 3.31779i | −0.308219 | + | 0.355704i | ||||
\(88\) | −5.85917 | + | 1.72041i | −0.624590 | + | 0.183396i | ||||
\(89\) | 0.210281 | − | 0.460451i | 0.0222897 | − | 0.0488077i | −0.898160 | − | 0.439669i | \(-0.855096\pi\) |
0.920449 | + | 0.390862i | \(0.127823\pi\) | |||||||
\(90\) | 0.0559475 | + | 0.389124i | 0.00589739 | + | 0.0410172i | ||||
\(91\) | 2.41295 | 0.252946 | ||||||||
\(92\) | −4.64221 | − | 1.20411i | −0.483984 | − | 0.125537i | ||||
\(93\) | 4.40248 | 0.456516 | ||||||||
\(94\) | 0.878867 | + | 6.11265i | 0.0906482 | + | 0.630472i | ||||
\(95\) | 0.0867565 | − | 0.189970i | 0.00890102 | − | 0.0194905i | ||||
\(96\) | −0.959493 | + | 0.281733i | −0.0979278 | + | 0.0287542i | ||||
\(97\) | 4.23061 | − | 4.88239i | 0.429553 | − | 0.495731i | −0.499170 | − | 0.866504i | \(-0.666362\pi\) |
0.928724 | + | 0.370773i | \(0.120907\pi\) | |||||||
\(98\) | 0.959493 | + | 0.281733i | 0.0969234 | + | 0.0284593i | ||||
\(99\) | −5.13714 | + | 3.30144i | −0.516302 | + | 0.331807i | ||||
\(100\) | −2.01287 | − | 4.40758i | −0.201287 | − | 0.440758i | ||||
\(101\) | 9.99139 | + | 11.5307i | 0.994181 | + | 1.14735i | 0.989083 | + | 0.147359i | \(0.0470772\pi\) |
0.00509775 | + | 0.999987i | \(0.498377\pi\) | |||||||
\(102\) | −5.60483 | − | 3.60201i | −0.554961 | − | 0.356652i | ||||
\(103\) | 1.47843 | − | 10.2827i | 0.145674 | − | 1.01318i | −0.777523 | − | 0.628855i | \(-0.783524\pi\) |
0.923196 | − | 0.384328i | \(-0.125567\pi\) | |||||||
\(104\) | 0.343399 | − | 2.38839i | 0.0336730 | − | 0.234201i | ||||
\(105\) | −0.330718 | − | 0.212539i | −0.0322748 | − | 0.0207417i | ||||
\(106\) | 0.171937 | + | 0.198426i | 0.0167000 | + | 0.0192728i | ||||
\(107\) | −4.66120 | − | 10.2066i | −0.450615 | − | 0.986710i | −0.989527 | − | 0.144347i | \(-0.953892\pi\) |
0.538912 | − | 0.842362i | \(-0.318836\pi\) | |||||||
\(108\) | −0.841254 | + | 0.540641i | −0.0809497 | + | 0.0520232i | ||||
\(109\) | 6.35476 | + | 1.86592i | 0.608675 | + | 0.178723i | 0.571522 | − | 0.820586i | \(-0.306353\pi\) |
0.0371528 | + | 0.999310i | \(0.488171\pi\) | |||||||
\(110\) | −1.57208 | + | 1.81427i | −0.149892 | + | 0.172984i | ||||
\(111\) | 9.32318 | − | 2.73753i | 0.884918 | − | 0.259835i | ||||
\(112\) | 0.415415 | − | 0.909632i | 0.0392530 | − | 0.0859521i | ||||
\(113\) | −0.0493028 | − | 0.342909i | −0.00463802 | − | 0.0322581i | 0.987371 | − | 0.158425i | \(-0.0506416\pi\) |
−0.992009 | + | 0.126167i | \(0.959733\pi\) | |||||||
\(114\) | 0.531238 | 0.0497550 | ||||||||
\(115\) | −1.79118 | + | 0.588434i | −0.167029 | + | 0.0548717i | ||||
\(116\) | −4.39006 | −0.407607 | ||||||||
\(117\) | −0.343399 | − | 2.38839i | −0.0317472 | − | 0.220807i | ||||
\(118\) | −2.77417 | + | 6.07458i | −0.255383 | + | 0.559210i | ||||
\(119\) | 6.39260 | − | 1.87704i | 0.586008 | − | 0.172068i | ||||
\(120\) | −0.257442 | + | 0.297104i | −0.0235012 | + | 0.0271218i | ||||
\(121\) | −25.2248 | − | 7.40666i | −2.29316 | − | 0.673332i | ||||
\(122\) | 4.54729 | − | 2.92237i | 0.411693 | − | 0.264579i | ||||
\(123\) | −5.24829 | − | 11.4922i | −0.473223 | − | 1.03621i | ||||
\(124\) | 2.88301 | + | 3.32718i | 0.258902 | + | 0.298789i | ||||
\(125\) | −3.25607 | − | 2.09255i | −0.291232 | − | 0.187163i | ||||
\(126\) | 0.142315 | − | 0.989821i | 0.0126784 | − | 0.0881803i | ||||
\(127\) | −2.29381 | + | 15.9538i | −0.203543 | + | 1.41567i | 0.590120 | + | 0.807315i | \(0.299080\pi\) |
−0.793663 | + | 0.608357i | \(0.791829\pi\) | |||||||
\(128\) | −0.841254 | − | 0.540641i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | 3.64467 | + | 4.20617i | 0.320895 | + | 0.370333i | ||||
\(130\) | −0.394059 | − | 0.862869i | −0.0345613 | − | 0.0756786i | ||||
\(131\) | 8.68118 | − | 5.57906i | 0.758478 | − | 0.487444i | −0.103350 | − | 0.994645i | \(-0.532956\pi\) |
0.861828 | + | 0.507201i | \(0.169320\pi\) | |||||||
\(132\) | −5.85917 | − | 1.72041i | −0.509975 | − | 0.149742i | ||||
\(133\) | −0.347887 | + | 0.401483i | −0.0301656 | + | 0.0348130i | ||||
\(134\) | 0.0902703 | − | 0.0265058i | 0.00779817 | − | 0.00228975i | ||||
\(135\) | −0.163310 | + | 0.357599i | −0.0140555 | + | 0.0307772i | ||||
\(136\) | −0.948169 | − | 6.59466i | −0.0813048 | − | 0.565487i | ||||
\(137\) | −21.4776 | −1.83496 | −0.917479 | − | 0.397783i | \(-0.869780\pi\) | ||||
−0.917479 | + | 0.397783i | \(0.869780\pi\) | |||||||
\(138\) | −3.25429 | − | 3.52273i | −0.277023 | − | 0.299875i | ||||
\(139\) | 9.26336 | 0.785708 | 0.392854 | − | 0.919601i | \(-0.371488\pi\) | ||||
0.392854 | + | 0.919601i | \(0.371488\pi\) | |||||||
\(140\) | −0.0559475 | − | 0.389124i | −0.00472843 | − | 0.0328870i | ||||
\(141\) | −2.56540 | + | 5.61744i | −0.216046 | + | 0.473074i | ||||
\(142\) | −10.4123 | + | 3.05733i | −0.873782 | + | 0.256566i | ||||
\(143\) | 9.64921 | − | 11.1358i | 0.806907 | − | 0.931221i | ||||
\(144\) | −0.959493 | − | 0.281733i | −0.0799577 | − | 0.0234777i | ||||
\(145\) | −1.45187 | + | 0.933061i | −0.120571 | + | 0.0774865i | ||||
\(146\) | 3.63102 | + | 7.95083i | 0.300506 | + | 0.658016i | ||||
\(147\) | 0.654861 | + | 0.755750i | 0.0540120 | + | 0.0623332i | ||||
\(148\) | 8.17428 | + | 5.25329i | 0.671921 | + | 0.431818i | ||||
\(149\) | 1.34160 | − | 9.33104i | 0.109908 | − | 0.764428i | −0.858095 | − | 0.513491i | \(-0.828352\pi\) |
0.968003 | − | 0.250937i | \(-0.0807389\pi\) | |||||||
\(150\) | 0.689580 | − | 4.79613i | 0.0563040 | − | 0.391603i | ||||
\(151\) | −13.8807 | − | 8.92059i | −1.12960 | − | 0.725947i | −0.164120 | − | 0.986440i | \(-0.552479\pi\) |
−0.965476 | + | 0.260493i | \(0.916115\pi\) | |||||||
\(152\) | 0.347887 | + | 0.401483i | 0.0282173 | + | 0.0325645i | ||||
\(153\) | −2.76769 | − | 6.06040i | −0.223755 | − | 0.489954i | ||||
\(154\) | 5.13714 | − | 3.30144i | 0.413962 | − | 0.266037i | ||||
\(155\) | 1.66062 | + | 0.487602i | 0.133384 | + | 0.0391651i | ||||
\(156\) | 1.58015 | − | 1.82359i | 0.126513 | − | 0.146004i | ||||
\(157\) | −5.01423 | + | 1.47231i | −0.400179 | + | 0.117503i | −0.475628 | − | 0.879647i | \(-0.657779\pi\) |
0.0754491 | + | 0.997150i | \(0.475961\pi\) | |||||||
\(158\) | −1.71906 | + | 3.76421i | −0.136761 | + | 0.299465i | ||||
\(159\) | 0.0373655 | + | 0.259883i | 0.00296328 | + | 0.0206100i | ||||
\(160\) | −0.393125 | −0.0310793 | ||||||||
\(161\) | 4.79341 | − | 0.152530i | 0.377773 | − | 0.0120210i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 1.52887 | + | 10.6335i | 0.119750 | + | 0.832879i | 0.957831 | + | 0.287333i | \(0.0927687\pi\) |
−0.838081 | + | 0.545546i | \(0.816322\pi\) | |||||||
\(164\) | 5.24829 | − | 11.4922i | 0.409823 | − | 0.897387i | ||||
\(165\) | −2.30339 | + | 0.676335i | −0.179318 | + | 0.0526526i | ||||
\(166\) | −6.62049 | + | 7.64045i | −0.513850 | + | 0.593014i | ||||
\(167\) | 3.34656 | + | 0.982637i | 0.258964 | + | 0.0760388i | 0.408638 | − | 0.912697i | \(-0.366004\pi\) |
−0.149673 | + | 0.988736i | \(0.547822\pi\) | |||||||
\(168\) | 0.841254 | − | 0.540641i | 0.0649041 | − | 0.0417113i | ||||
\(169\) | −2.98171 | − | 6.52904i | −0.229362 | − | 0.502234i | ||||
\(170\) | −1.71520 | − | 1.97945i | −0.131550 | − | 0.151817i | ||||
\(171\) | 0.446905 | + | 0.287209i | 0.0341757 | + | 0.0219634i | ||||
\(172\) | −0.792063 | + | 5.50892i | −0.0603942 | + | 0.420051i | ||||
\(173\) | 2.78516 | − | 19.3712i | 0.211752 | − | 1.47277i | −0.555550 | − | 0.831483i | \(-0.687492\pi\) |
0.767302 | − | 0.641285i | \(-0.221599\pi\) | |||||||
\(174\) | −3.69315 | − | 2.37345i | −0.279977 | − | 0.179931i | ||||
\(175\) | 3.17310 | + | 3.66195i | 0.239864 | + | 0.276817i | ||||
\(176\) | −2.53674 | − | 5.55469i | −0.191214 | − | 0.418701i | ||||
\(177\) | −5.61794 | + | 3.61043i | −0.422271 | + | 0.271377i | ||||
\(178\) | 0.485691 | + | 0.142612i | 0.0364041 | + | 0.0106892i | ||||
\(179\) | 3.17211 | − | 3.66081i | 0.237094 | − | 0.273621i | −0.624716 | − | 0.780852i | \(-0.714785\pi\) |
0.861810 | + | 0.507231i | \(0.169331\pi\) | |||||||
\(180\) | −0.377201 | + | 0.110756i | −0.0281149 | + | 0.00825528i | ||||
\(181\) | −3.81832 | + | 8.36095i | −0.283813 | + | 0.621465i | −0.996819 | − | 0.0796932i | \(-0.974606\pi\) |
0.713006 | + | 0.701158i | \(0.247333\pi\) | |||||||
\(182\) | 0.343399 | + | 2.38839i | 0.0254544 | + | 0.177039i | ||||
\(183\) | 5.40538 | 0.399577 | ||||||||
\(184\) | 0.531195 | − | 4.76632i | 0.0391602 | − | 0.351378i | ||||
\(185\) | 3.81991 | 0.280845 | ||||||||
\(186\) | 0.626539 | + | 4.35767i | 0.0459400 | + | 0.319520i | ||||
\(187\) | 16.9010 | − | 37.0080i | 1.23592 | − | 2.70629i | ||||
\(188\) | −5.92536 | + | 1.73984i | −0.432151 | + | 0.126891i | ||||
\(189\) | 0.654861 | − | 0.755750i | 0.0476341 | − | 0.0549727i | ||||
\(190\) | 0.200383 | + | 0.0588378i | 0.0145373 | + | 0.00426854i | ||||
\(191\) | 11.4087 | − | 7.33195i | 0.825508 | − | 0.530521i | −0.0583399 | − | 0.998297i | \(-0.518581\pi\) |
0.883847 | + | 0.467775i | \(0.154944\pi\) | |||||||
\(192\) | −0.415415 | − | 0.909632i | −0.0299800 | − | 0.0656470i | ||||
\(193\) | −13.4452 | − | 15.5166i | −0.967808 | − | 1.11691i | −0.993105 | − | 0.117230i | \(-0.962599\pi\) |
0.0252972 | − | 0.999680i | \(-0.491947\pi\) | |||||||
\(194\) | 5.43477 | + | 3.49271i | 0.390194 | + | 0.250762i | ||||
\(195\) | 0.134999 | − | 0.938936i | 0.00966745 | − | 0.0672386i | ||||
\(196\) | −0.142315 | + | 0.989821i | −0.0101653 | + | 0.0707015i | ||||
\(197\) | 20.2931 | + | 13.0416i | 1.44582 | + | 0.929174i | 0.999410 | + | 0.0343464i | \(0.0109349\pi\) |
0.446412 | + | 0.894827i | \(0.352701\pi\) | |||||||
\(198\) | −3.99892 | − | 4.61501i | −0.284191 | − | 0.327974i | ||||
\(199\) | 0.353676 | + | 0.774442i | 0.0250714 | + | 0.0548987i | 0.921753 | − | 0.387776i | \(-0.126757\pi\) |
−0.896682 | + | 0.442675i | \(0.854029\pi\) | |||||||
\(200\) | 4.07625 | − | 2.61965i | 0.288235 | − | 0.185237i | ||||
\(201\) | 0.0902703 | + | 0.0265058i | 0.00636718 | + | 0.00186957i | ||||
\(202\) | −9.99139 | + | 11.5307i | −0.702992 | + | 0.811296i | ||||
\(203\) | 4.21223 | − | 1.23682i | 0.295641 | − | 0.0868080i | ||||
\(204\) | 2.76769 | − | 6.06040i | 0.193777 | − | 0.424313i | ||||
\(205\) | −0.706833 | − | 4.91613i | −0.0493674 | − | 0.343358i | ||||
\(206\) | 10.3884 | 0.723796 | ||||||||
\(207\) | −0.833150 | − | 4.72291i | −0.0579079 | − | 0.328265i | ||||
\(208\) | 2.41295 | 0.167308 | ||||||||
\(209\) | 0.461672 | + | 3.21100i | 0.0319345 | + | 0.222109i | ||||
\(210\) | 0.163310 | − | 0.357599i | 0.0112695 | − | 0.0246767i | ||||
\(211\) | −8.96093 | + | 2.63117i | −0.616896 | + | 0.181137i | −0.575226 | − | 0.817995i | \(-0.695086\pi\) |
−0.0416697 | + | 0.999131i | \(0.513268\pi\) | |||||||
\(212\) | −0.171937 | + | 0.198426i | −0.0118087 | + | 0.0136279i | ||||
\(213\) | −10.4123 | − | 3.05733i | −0.713440 | − | 0.209485i | ||||
\(214\) | 9.43936 | − | 6.06631i | 0.645261 | − | 0.414684i | ||||
\(215\) | 0.908913 | + | 1.99024i | 0.0619874 | + | 0.135733i | ||||
\(216\) | −0.654861 | − | 0.755750i | −0.0445576 | − | 0.0514222i | ||||
\(217\) | −3.70360 | − | 2.38016i | −0.251417 | − | 0.161576i | ||||
\(218\) | −0.942556 | + | 6.55562i | −0.0638380 | + | 0.444003i | ||||
\(219\) | −1.24393 | + | 8.65175i | −0.0840572 | + | 0.584631i | ||||
\(220\) | −2.01954 | − | 1.29788i | −0.136157 | − | 0.0875029i | ||||
\(221\) | 10.5277 | + | 12.1496i | 0.708169 | + | 0.817270i | ||||
\(222\) | 4.03650 | + | 8.83870i | 0.270912 | + | 0.593214i | ||||
\(223\) | 9.83209 | − | 6.31870i | 0.658405 | − | 0.423131i | −0.168324 | − | 0.985732i | \(-0.553835\pi\) |
0.826729 | + | 0.562600i | \(0.190199\pi\) | |||||||
\(224\) | 0.959493 | + | 0.281733i | 0.0641088 | + | 0.0188240i | ||||
\(225\) | 3.17310 | − | 3.66195i | 0.211540 | − | 0.244130i | ||||
\(226\) | 0.332402 | − | 0.0976020i | 0.0221110 | − | 0.00649239i | ||||
\(227\) | 0.840608 | − | 1.84067i | 0.0557931 | − | 0.122170i | −0.879682 | − | 0.475562i | \(-0.842245\pi\) |
0.935475 | + | 0.353392i | \(0.114972\pi\) | |||||||
\(228\) | 0.0756030 | + | 0.525830i | 0.00500693 | + | 0.0348240i | ||||
\(229\) | −10.2600 | −0.677998 | −0.338999 | − | 0.940787i | \(-0.610088\pi\) | ||||
−0.338999 | + | 0.940787i | \(0.610088\pi\) | |||||||
\(230\) | −0.837356 | − | 1.68921i | −0.0552136 | − | 0.111383i | ||||
\(231\) | 6.10653 | 0.401780 | ||||||||
\(232\) | −0.624771 | − | 4.34538i | −0.0410182 | − | 0.285288i | ||||
\(233\) | −11.5425 | + | 25.2746i | −0.756177 | + | 1.65580i | −0.00124074 | + | 0.999999i | \(0.500395\pi\) |
−0.754936 | + | 0.655798i | \(0.772332\pi\) | |||||||
\(234\) | 2.31521 | − | 0.679807i | 0.151350 | − | 0.0444404i | ||||
\(235\) | −1.58984 | + | 1.83477i | −0.103710 | + | 0.119687i | ||||
\(236\) | −6.40755 | − | 1.88143i | −0.417096 | − | 0.122471i | ||||
\(237\) | −3.48125 | + | 2.23727i | −0.226132 | + | 0.145326i | ||||
\(238\) | 2.76769 | + | 6.06040i | 0.179403 | + | 0.392837i | ||||
\(239\) | −5.19840 | − | 5.99927i | −0.336256 | − | 0.388060i | 0.562289 | − | 0.826941i | \(-0.309921\pi\) |
−0.898546 | + | 0.438880i | \(0.855375\pi\) | |||||||
\(240\) | −0.330718 | − | 0.212539i | −0.0213477 | − | 0.0137194i | ||||
\(241\) | −1.67005 | + | 11.6154i | −0.107577 | + | 0.748215i | 0.862612 | + | 0.505866i | \(0.168827\pi\) |
−0.970189 | + | 0.242349i | \(0.922082\pi\) | |||||||
\(242\) | 3.74141 | − | 26.0221i | 0.240507 | − | 1.67276i | ||||
\(243\) | −0.841254 | − | 0.540641i | −0.0539664 | − | 0.0346821i | ||||
\(244\) | 3.53977 | + | 4.08511i | 0.226611 | + | 0.261522i | ||||
\(245\) | 0.163310 | + | 0.357599i | 0.0104335 | + | 0.0228462i | ||||
\(246\) | 10.6283 | − | 6.83038i | 0.677634 | − | 0.435489i | ||||
\(247\) | −1.22993 | − | 0.361139i | −0.0782583 | − | 0.0229787i | ||||
\(248\) | −2.88301 | + | 3.32718i | −0.183072 | + | 0.211276i | ||||
\(249\) | −9.70025 | + | 2.84825i | −0.614728 | + | 0.180501i | ||||
\(250\) | 1.60786 | − | 3.52073i | 0.101690 | − | 0.222670i | ||||
\(251\) | −3.37327 | − | 23.4616i | −0.212919 | − | 1.48089i | −0.763339 | − | 0.645998i | \(-0.776442\pi\) |
0.550420 | − | 0.834888i | \(-0.314468\pi\) | |||||||
\(252\) | 1.00000 | 0.0629941 | ||||||||
\(253\) | 18.4645 | − | 22.7315i | 1.16086 | − | 1.42912i | ||||
\(254\) | −16.1179 | −1.01133 | ||||||||
\(255\) | −0.372749 | − | 2.59253i | −0.0233425 | − | 0.162350i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −28.2176 | + | 8.28543i | −1.76017 | + | 0.516831i | −0.992308 | − | 0.123790i | \(-0.960495\pi\) |
−0.767857 | + | 0.640621i | \(0.778677\pi\) | |||||||
\(258\) | −3.64467 | + | 4.20617i | −0.226907 | + | 0.261865i | ||||
\(259\) | −9.32318 | − | 2.73753i | −0.579315 | − | 0.170102i | ||||
\(260\) | 0.798006 | − | 0.512847i | 0.0494902 | − | 0.0318054i | ||||
\(261\) | −1.82370 | − | 3.99334i | −0.112884 | − | 0.247182i | ||||
\(262\) | 6.75773 | + | 7.79883i | 0.417494 | + | 0.481814i | ||||
\(263\) | −15.2832 | − | 9.82189i | −0.942400 | − | 0.605644i | −0.0233258 | − | 0.999728i | \(-0.507426\pi\) |
−0.919074 | + | 0.394084i | \(0.871062\pi\) | |||||||
\(264\) | 0.869049 | − | 6.04437i | 0.0534863 | − | 0.372005i | ||||
\(265\) | −0.0146893 | + | 0.102166i | −0.000902357 | + | 0.00627603i | ||||
\(266\) | −0.446905 | − | 0.287209i | −0.0274015 | − | 0.0176099i | ||||
\(267\) | 0.331487 | + | 0.382557i | 0.0202867 | + | 0.0234121i | ||||
\(268\) | 0.0390828 | + | 0.0855794i | 0.00238736 | + | 0.00522759i | ||||
\(269\) | −11.3799 | + | 7.31339i | −0.693842 | + | 0.445905i | −0.839450 | − | 0.543437i | \(-0.817123\pi\) |
0.145608 | + | 0.989342i | \(0.453486\pi\) | |||||||
\(270\) | −0.377201 | − | 0.110756i | −0.0229557 | − | 0.00674040i | ||||
\(271\) | −4.69393 | + | 5.41709i | −0.285136 | + | 0.329065i | −0.880190 | − | 0.474621i | \(-0.842585\pi\) |
0.595054 | + | 0.803686i | \(0.297131\pi\) | |||||||
\(272\) | 6.39260 | − | 1.87704i | 0.387608 | − | 0.113812i | ||||
\(273\) | −1.00238 | + | 2.19490i | −0.0606666 | + | 0.132841i | ||||
\(274\) | −3.05659 | − | 21.2590i | −0.184655 | − | 1.28431i | ||||
\(275\) | 29.5889 | 1.78428 | ||||||||
\(276\) | 3.02374 | − | 3.72250i | 0.182008 | − | 0.224068i | ||||
\(277\) | −18.0003 | −1.08153 | −0.540766 | − | 0.841173i | \(-0.681866\pi\) | ||||
−0.540766 | + | 0.841173i | \(0.681866\pi\) | |||||||
\(278\) | 1.31831 | + | 9.16907i | 0.0790672 | + | 0.549924i | ||||
\(279\) | −1.82886 | + | 4.00464i | −0.109491 | + | 0.239752i | ||||
\(280\) | 0.377201 | − | 0.110756i | 0.0225421 | − | 0.00661895i | ||||
\(281\) | −1.16209 | + | 1.34112i | −0.0693244 | + | 0.0800046i | −0.789352 | − | 0.613940i | \(-0.789583\pi\) |
0.720028 | + | 0.693945i | \(0.244129\pi\) | |||||||
\(282\) | −5.92536 | − | 1.73984i | −0.352850 | − | 0.103606i | ||||
\(283\) | −8.88722 | + | 5.71147i | −0.528290 | + | 0.339511i | −0.777444 | − | 0.628953i | \(-0.783484\pi\) |
0.249154 | + | 0.968464i | \(0.419848\pi\) | |||||||
\(284\) | −4.50804 | − | 9.87123i | −0.267503 | − | 0.585750i | ||||
\(285\) | 0.136763 | + | 0.157833i | 0.00810114 | + | 0.00934921i | ||||
\(286\) | 12.3957 | + | 7.96621i | 0.732971 | + | 0.471052i | ||||
\(287\) | −1.79798 | + | 12.5053i | −0.106132 | + | 0.738162i | ||||
\(288\) | 0.142315 | − | 0.989821i | 0.00838598 | − | 0.0583258i | ||||
\(289\) | 23.0407 | + | 14.8074i | 1.35534 | + | 0.871022i | ||||
\(290\) | −1.13019 | − | 1.30431i | −0.0663669 | − | 0.0765915i | ||||
\(291\) | 2.68371 | + | 5.87652i | 0.157322 | + | 0.344487i | ||||
\(292\) | −7.35316 | + | 4.72559i | −0.430311 | + | 0.276544i | ||||
\(293\) | 21.5800 | + | 6.33646i | 1.26072 | + | 0.370180i | 0.842761 | − | 0.538288i | \(-0.180929\pi\) |
0.417955 | + | 0.908468i | \(0.362747\pi\) | |||||||
\(294\) | −0.654861 | + | 0.755750i | −0.0381923 | + | 0.0440762i | ||||
\(295\) | −2.51897 | + | 0.739637i | −0.146660 | + | 0.0430633i | ||||
\(296\) | −4.03650 | + | 8.83870i | −0.234617 | + | 0.513739i | ||||
\(297\) | −0.869049 | − | 6.04437i | −0.0504274 | − | 0.350730i | ||||
\(298\) | 9.42699 | 0.546091 | ||||||||
\(299\) | 5.13958 | + | 10.3681i | 0.297230 | + | 0.599605i | ||||
\(300\) | 4.84545 | 0.279752 | ||||||||
\(301\) | −0.792063 | − | 5.50892i | −0.0456537 | − | 0.317529i | ||||
\(302\) | 6.85436 | − | 15.0090i | 0.394424 | − | 0.863668i | ||||
\(303\) | −14.6393 | + | 4.29847i | −0.841003 | + | 0.246941i | ||||
\(304\) | −0.347887 | + | 0.401483i | −0.0199527 | + | 0.0230266i | ||||
\(305\) | 2.03891 | + | 0.598679i | 0.116748 | + | 0.0342803i | ||||
\(306\) | 5.60483 | − | 3.60201i | 0.320407 | − | 0.205913i | ||||
\(307\) | 5.44043 | + | 11.9129i | 0.310502 | + | 0.679904i | 0.998971 | − | 0.0453619i | \(-0.0144441\pi\) |
−0.688469 | + | 0.725266i | \(0.741717\pi\) | |||||||
\(308\) | 3.99892 | + | 4.61501i | 0.227860 | + | 0.262964i | ||||
\(309\) | 8.73930 | + | 5.61641i | 0.497161 | + | 0.319506i | ||||
\(310\) | −0.246308 | + | 1.71311i | −0.0139894 | + | 0.0972981i | ||||
\(311\) | 4.65489 | − | 32.3755i | 0.263955 | − | 1.83584i | −0.238381 | − | 0.971172i | \(-0.576617\pi\) |
0.502335 | − | 0.864673i | \(-0.332474\pi\) | |||||||
\(312\) | 2.02990 | + | 1.30454i | 0.114921 | + | 0.0738550i | ||||
\(313\) | −5.09896 | − | 5.88451i | −0.288210 | − | 0.332612i | 0.593119 | − | 0.805115i | \(-0.297896\pi\) |
−0.881329 | + | 0.472502i | \(0.843351\pi\) | |||||||
\(314\) | −2.17092 | − | 4.75366i | −0.122512 | − | 0.268264i | ||||
\(315\) | 0.330718 | − | 0.212539i | 0.0186338 | − | 0.0119752i | ||||
\(316\) | −3.97055 | − | 1.16586i | −0.223361 | − | 0.0655846i | ||||
\(317\) | 6.08634 | − | 7.02401i | 0.341843 | − | 0.394508i | −0.558632 | − | 0.829416i | \(-0.688674\pi\) |
0.900475 | + | 0.434908i | \(0.143219\pi\) | |||||||
\(318\) | −0.251920 | + | 0.0739703i | −0.0141270 | + | 0.00414805i | ||||
\(319\) | 11.1365 | − | 24.3854i | 0.623522 | − | 1.36532i | ||||
\(320\) | −0.0559475 | − | 0.389124i | −0.00312756 | − | 0.0217527i | ||||
\(321\) | 11.2206 | 0.626272 | ||||||||
\(322\) | 0.833150 | + | 4.72291i | 0.0464296 | + | 0.263197i | ||||
\(323\) | −3.53936 | −0.196935 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | −4.85697 | + | 10.6353i | −0.269416 | + | 0.589939i | ||||
\(326\) | −10.3077 | + | 3.02661i | −0.570890 | + | 0.167628i | ||||
\(327\) | −4.33717 | + | 5.00536i | −0.239846 | + | 0.276797i | ||||
\(328\) | 12.1221 | + | 3.55937i | 0.669331 | + | 0.196533i | ||||
\(329\) | 5.19517 | − | 3.33873i | 0.286419 | − | 0.184070i | ||||
\(330\) | −0.997257 | − | 2.18369i | −0.0548972 | − | 0.120208i | ||||
\(331\) | −18.0946 | − | 20.8823i | −0.994569 | − | 1.14779i | −0.989016 | − | 0.147809i | \(-0.952778\pi\) |
−0.00555286 | − | 0.999985i | \(-0.501768\pi\) | |||||||
\(332\) | −8.50488 | − | 5.46575i | −0.466766 | − | 0.299972i | ||||
\(333\) | −1.38284 | + | 9.61788i | −0.0757793 | + | 0.527057i | ||||
\(334\) | −0.496371 | + | 3.45234i | −0.0271602 | + | 0.188903i | ||||
\(335\) | 0.0311144 | + | 0.0199960i | 0.00169996 | + | 0.00109250i | ||||
\(336\) | 0.654861 | + | 0.755750i | 0.0357256 | + | 0.0412295i | ||||
\(337\) | 3.46372 | + | 7.58449i | 0.188681 | + | 0.413154i | 0.980205 | − | 0.197984i | \(-0.0634394\pi\) |
−0.791524 | + | 0.611138i | \(0.790712\pi\) | |||||||
\(338\) | 6.03824 | − | 3.88054i | 0.328437 | − | 0.211074i | ||||
\(339\) | 0.332402 | + | 0.0976020i | 0.0180536 | + | 0.00530101i | ||||
\(340\) | 1.71520 | − | 1.97945i | 0.0930199 | − | 0.107351i | ||||
\(341\) | −25.7949 | + | 7.57407i | −1.39687 | + | 0.410159i | ||||
\(342\) | −0.220684 | + | 0.483231i | −0.0119332 | + | 0.0261301i | ||||
\(343\) | −0.142315 | − | 0.989821i | −0.00768428 | − | 0.0534453i | ||||
\(344\) | −5.56557 | −0.300075 | ||||||||
\(345\) | 0.208826 | − | 1.87376i | 0.0112428 | − | 0.100880i | ||||
\(346\) | 19.5704 | 1.05211 | ||||||||
\(347\) | 1.99626 | + | 13.8843i | 0.107165 | + | 0.745348i | 0.970567 | + | 0.240832i | \(0.0774202\pi\) |
−0.863402 | + | 0.504517i | \(0.831671\pi\) | |||||||
\(348\) | 1.82370 | − | 3.99334i | 0.0977604 | − | 0.214066i | ||||
\(349\) | −23.7637 | + | 6.97767i | −1.27204 | + | 0.373506i | −0.846964 | − | 0.531650i | \(-0.821572\pi\) |
−0.425080 | + | 0.905156i | \(0.639754\pi\) | |||||||
\(350\) | −3.17310 | + | 3.66195i | −0.169609 | + | 0.195739i | ||||
\(351\) | 2.31521 | + | 0.679807i | 0.123577 | + | 0.0362854i | ||||
\(352\) | 5.13714 | − | 3.30144i | 0.273810 | − | 0.175967i | ||||
\(353\) | −2.80310 | − | 6.13793i | −0.149194 | − | 0.326689i | 0.820249 | − | 0.572007i | \(-0.193835\pi\) |
−0.969443 | + | 0.245318i | \(0.921108\pi\) | |||||||
\(354\) | −4.37320 | − | 5.04694i | −0.232433 | − | 0.268242i | ||||
\(355\) | −3.58892 | − | 2.30646i | −0.190480 | − | 0.122414i | ||||
\(356\) | −0.0720391 | + | 0.501043i | −0.00381806 | + | 0.0265552i | ||||
\(357\) | −0.948169 | + | 6.59466i | −0.0501824 | + | 0.349026i | ||||
\(358\) | 4.07498 | + | 2.61883i | 0.215369 | + | 0.138410i | ||||
\(359\) | −12.0888 | − | 13.9512i | −0.638022 | − | 0.736316i | 0.341002 | − | 0.940063i | \(-0.389234\pi\) |
−0.979024 | + | 0.203746i | \(0.934688\pi\) | |||||||
\(360\) | −0.163310 | − | 0.357599i | −0.00860720 | − | 0.0188471i | ||||
\(361\) | −15.7464 | + | 10.1196i | −0.828758 | + | 0.532610i | ||||
\(362\) | −8.81925 | − | 2.58957i | −0.463530 | − | 0.136105i | ||||
\(363\) | 17.2161 | − | 19.8684i | 0.903610 | − | 1.04282i | ||||
\(364\) | −2.31521 | + | 0.679807i | −0.121350 | + | 0.0356316i | ||||
\(365\) | −1.42745 | + | 3.12567i | −0.0747160 | + | 0.163605i | ||||
\(366\) | 0.769265 | + | 5.35036i | 0.0402102 | + | 0.279668i | ||||
\(367\) | −2.30370 | −0.120252 | −0.0601261 | − | 0.998191i | \(-0.519150\pi\) | ||||
−0.0601261 | + | 0.998191i | \(0.519150\pi\) | |||||||
\(368\) | 4.79341 | − | 0.152530i | 0.249874 | − | 0.00795117i | ||||
\(369\) | 12.6339 | 0.657692 | ||||||||
\(370\) | 0.543630 | + | 3.78103i | 0.0282620 | + | 0.196566i | ||||
\(371\) | 0.109069 | − | 0.238829i | 0.00566260 | − | 0.0123994i | ||||
\(372\) | −4.22415 | + | 1.24032i | −0.219012 | + | 0.0643077i | ||||
\(373\) | −19.6238 | + | 22.6471i | −1.01608 | + | 1.17262i | −0.0311779 | + | 0.999514i | \(0.509926\pi\) |
−0.984903 | + | 0.173106i | \(0.944620\pi\) | |||||||
\(374\) | 39.0366 | + | 11.4622i | 2.01853 | + | 0.592695i | ||||
\(375\) | 3.25607 | − | 2.09255i | 0.168143 | − | 0.108059i | ||||
\(376\) | −2.56540 | − | 5.61744i | −0.132300 | − | 0.289698i | ||||
\(377\) | 6.93694 | + | 8.00566i | 0.357271 | + | 0.412312i | ||||
\(378\) | 0.841254 | + | 0.540641i | 0.0432694 | + | 0.0278076i | ||||
\(379\) | 0.855960 | − | 5.95334i | 0.0439677 | − | 0.305802i | −0.955957 | − | 0.293508i | \(-0.905177\pi\) |
0.999924 | − | 0.0122945i | \(-0.00391357\pi\) | |||||||
\(380\) | −0.0297214 | + | 0.206717i | −0.00152468 | + | 0.0106044i | ||||
\(381\) | −13.5592 | − | 8.71398i | −0.694660 | − | 0.446431i | ||||
\(382\) | 8.88096 | + | 10.2492i | 0.454389 | + | 0.524393i | ||||
\(383\) | −7.57383 | − | 16.5844i | −0.387005 | − | 0.847422i | −0.998424 | − | 0.0561153i | \(-0.982129\pi\) |
0.611420 | − | 0.791306i | \(-0.290599\pi\) | |||||||
\(384\) | 0.841254 | − | 0.540641i | 0.0429300 | − | 0.0275895i | ||||
\(385\) | 2.30339 | + | 0.676335i | 0.117391 | + | 0.0344692i | ||||
\(386\) | 13.4452 | − | 15.5166i | 0.684343 | − | 0.789774i | ||||
\(387\) | −5.34012 | + | 1.56800i | −0.271454 | + | 0.0797060i | ||||
\(388\) | −2.68371 | + | 5.87652i | −0.136245 | + | 0.298335i | ||||
\(389\) | −3.44726 | − | 23.9762i | −0.174783 | − | 1.21564i | −0.868609 | − | 0.495499i | \(-0.834985\pi\) |
0.693826 | − | 0.720143i | \(-0.255924\pi\) | |||||||
\(390\) | 0.948592 | 0.0480338 | ||||||||
\(391\) | 21.6816 | + | 23.4701i | 1.09649 | + | 1.18693i | ||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | 1.46859 | + | 10.2143i | 0.0740808 | + | 0.515243i | ||||
\(394\) | −10.0208 | + | 21.9425i | −0.504842 | + | 1.10545i | ||||
\(395\) | −1.56092 | + | 0.458328i | −0.0785385 | + | 0.0230610i | ||||
\(396\) | 3.99892 | − | 4.61501i | 0.200954 | − | 0.231913i | ||||
\(397\) | 27.4172 | + | 8.05042i | 1.37603 | + | 0.404039i | 0.884386 | − | 0.466756i | \(-0.154577\pi\) |
0.491645 | + | 0.870796i | \(0.336396\pi\) | |||||||
\(398\) | −0.716226 | + | 0.460290i | −0.0359011 | + | 0.0230723i | ||||
\(399\) | −0.220684 | − | 0.483231i | −0.0110480 | − | 0.0241918i | ||||
\(400\) | 3.17310 | + | 3.66195i | 0.158655 | + | 0.183097i | ||||
\(401\) | 7.77917 | + | 4.99937i | 0.388473 | + | 0.249657i | 0.720269 | − | 0.693695i | \(-0.244018\pi\) |
−0.331796 | + | 0.943351i | \(0.607655\pi\) | |||||||
\(402\) | −0.0133892 | + | 0.0931237i | −0.000667791 | + | 0.00464459i | ||||
\(403\) | 1.51181 | − | 10.5148i | 0.0753085 | − | 0.523782i | ||||
\(404\) | −12.8352 | − | 8.24871i | −0.638577 | − | 0.410389i | ||||
\(405\) | −0.257442 | − | 0.297104i | −0.0127924 | − | 0.0147632i | ||||
\(406\) | 1.82370 | + | 3.99334i | 0.0905086 | + | 0.198186i | ||||
\(407\) | −49.9164 | + | 32.0794i | −2.47427 | + | 1.59011i | ||||
\(408\) | 6.39260 | + | 1.87704i | 0.316481 | + | 0.0929271i | ||||
\(409\) | 8.21757 | − | 9.48358i | 0.406333 | − | 0.468933i | −0.515292 | − | 0.857014i | \(-0.672317\pi\) |
0.921625 | + | 0.388082i | \(0.126862\pi\) | |||||||
\(410\) | 4.76550 | − | 1.39928i | 0.235351 | − | 0.0691054i | ||||
\(411\) | 8.92214 | − | 19.5368i | 0.440097 | − | 0.963677i | ||||
\(412\) | 1.47843 | + | 10.2827i | 0.0728369 | + | 0.506592i | ||||
\(413\) | 6.67806 | 0.328606 | ||||||||
\(414\) | 4.55627 | − | 1.49681i | 0.223928 | − | 0.0735642i | ||||
\(415\) | −3.97440 | −0.195096 | ||||||||
\(416\) | 0.343399 | + | 2.38839i | 0.0168365 | + | 0.117100i | ||||
\(417\) | −3.84814 | + | 8.42625i | −0.188444 | + | 0.412635i | ||||
\(418\) | −3.11261 | + | 0.913945i | −0.152243 | + | 0.0447025i | ||||
\(419\) | −4.50831 | + | 5.20287i | −0.220246 | + | 0.254177i | −0.855110 | − | 0.518447i | \(-0.826510\pi\) |
0.634864 | + | 0.772624i | \(0.281056\pi\) | |||||||
\(420\) | 0.377201 | + | 0.110756i | 0.0184055 | + | 0.00540435i | ||||
\(421\) | −20.2732 | + | 13.0288i | −0.988055 | + | 0.634985i | −0.931625 | − | 0.363422i | \(-0.881608\pi\) |
−0.0564307 | + | 0.998407i | \(0.517972\pi\) | |||||||
\(422\) | −3.87966 | − | 8.49526i | −0.188859 | − | 0.413543i | ||||
\(423\) | −4.04410 | − | 4.66714i | −0.196631 | − | 0.226924i | ||||
\(424\) | −0.220875 | − | 0.141948i | −0.0107267 | − | 0.00689361i | ||||
\(425\) | −4.59431 | + | 31.9541i | −0.222857 | + | 1.55000i | ||||
\(426\) | 1.54439 | − | 10.7414i | 0.0748257 | − | 0.520424i | ||||
\(427\) | −4.54729 | − | 2.92237i | −0.220059 | − | 0.141423i | ||||
\(428\) | 7.34792 | + | 8.47995i | 0.355175 | + | 0.409894i | ||||
\(429\) | 6.12104 | + | 13.4032i | 0.295526 | + | 0.647113i | ||||
\(430\) | −1.84063 | + | 1.18290i | −0.0887632 | + | 0.0570446i | ||||
\(431\) | −14.4363 | − | 4.23889i | −0.695373 | − | 0.204180i | −0.0851017 | − | 0.996372i | \(-0.527122\pi\) |
−0.610272 | + | 0.792192i | \(0.708940\pi\) | |||||||
\(432\) | 0.654861 | − | 0.755750i | 0.0315070 | − | 0.0363610i | ||||
\(433\) | −0.348094 | + | 0.102210i | −0.0167284 | + | 0.00491189i | −0.290086 | − | 0.957001i | \(-0.593684\pi\) |
0.273358 | + | 0.961912i | \(0.411866\pi\) | |||||||
\(434\) | 1.82886 | − | 4.00464i | 0.0877880 | − | 0.192229i | ||||
\(435\) | −0.245613 | − | 1.70828i | −0.0117762 | − | 0.0819056i | ||||
\(436\) | −6.62304 | −0.317186 | ||||||||
\(437\) | −2.46612 | − | 0.639667i | −0.117970 | − | 0.0305994i | ||||
\(438\) | −8.74072 | −0.417648 | ||||||||
\(439\) | 4.92737 | + | 34.2706i | 0.235171 | + | 1.63565i | 0.675179 | + | 0.737654i | \(0.264066\pi\) |
−0.440008 | + | 0.897994i | \(0.645024\pi\) | |||||||
\(440\) | 0.997257 | − | 2.18369i | 0.0475424 | − | 0.104103i | ||||
\(441\) | −0.959493 | + | 0.281733i | −0.0456901 | + | 0.0134158i | ||||
\(442\) | −10.5277 | + | 12.1496i | −0.500751 | + | 0.577897i | ||||
\(443\) | −17.4214 | − | 5.11538i | −0.827715 | − | 0.243039i | −0.159680 | − | 0.987169i | \(-0.551046\pi\) |
−0.668035 | + | 0.744130i | \(0.732864\pi\) | |||||||
\(444\) | −8.17428 | + | 5.25329i | −0.387934 | + | 0.249310i | ||||
\(445\) | 0.0826668 | + | 0.181015i | 0.00391878 | + | 0.00858093i | ||||
\(446\) | 7.65363 | + | 8.83277i | 0.362410 | + | 0.418244i | ||||
\(447\) | 7.93049 | + | 5.09662i | 0.375099 | + | 0.241062i | ||||
\(448\) | −0.142315 | + | 0.989821i | −0.00672374 | + | 0.0467647i | ||||
\(449\) | −1.01513 | + | 7.06037i | −0.0479069 | + | 0.333200i | 0.951747 | + | 0.306884i | \(0.0992865\pi\) |
−0.999654 | + | 0.0263153i | \(0.991623\pi\) | |||||||
\(450\) | 4.07625 | + | 2.61965i | 0.192156 | + | 0.123491i | ||||
\(451\) | 50.5218 | + | 58.3053i | 2.37898 | + | 2.74549i | ||||
\(452\) | 0.143914 | + | 0.315128i | 0.00676916 | + | 0.0148224i | ||||
\(453\) | 13.8807 | − | 8.92059i | 0.652173 | − | 0.419126i | ||||
\(454\) | 1.94157 | + | 0.570096i | 0.0911224 | + | 0.0267559i | ||||
\(455\) | −0.621195 | + | 0.716898i | −0.0291221 | + | 0.0336087i | ||||
\(456\) | −0.509719 | + | 0.149667i | −0.0238698 | + | 0.00700880i | ||||
\(457\) | 4.13714 | − | 9.05906i | 0.193527 | − | 0.423765i | −0.787847 | − | 0.615871i | \(-0.788804\pi\) |
0.981374 | + | 0.192106i | \(0.0615316\pi\) | |||||||
\(458\) | −1.46015 | − | 10.1555i | −0.0682282 | − | 0.474537i | ||||
\(459\) | 6.66247 | 0.310978 | ||||||||
\(460\) | 1.55285 | − | 1.06923i | 0.0724018 | − | 0.0498532i | ||||
\(461\) | 7.73104 | 0.360070 | 0.180035 | − | 0.983660i | \(-0.442379\pi\) | ||||
0.180035 | + | 0.983660i | \(0.442379\pi\) | |||||||
\(462\) | 0.869049 | + | 6.04437i | 0.0404318 | + | 0.281210i | ||||
\(463\) | 6.19334 | − | 13.5615i | 0.287829 | − | 0.630258i | −0.709387 | − | 0.704819i | \(-0.751028\pi\) |
0.997216 | + | 0.0745612i | \(0.0237556\pi\) | |||||||
\(464\) | 4.21223 | − | 1.23682i | 0.195548 | − | 0.0574181i | ||||
\(465\) | −1.13339 | + | 1.30800i | −0.0525595 | + | 0.0606569i | ||||
\(466\) | −26.6601 | − | 7.82810i | −1.23500 | − | 0.362630i | ||||
\(467\) | −32.2190 | + | 20.7059i | −1.49092 | + | 0.958154i | −0.494904 | + | 0.868947i | \(0.664797\pi\) |
−0.996013 | + | 0.0892070i | \(0.971567\pi\) | |||||||
\(468\) | 1.00238 | + | 2.19490i | 0.0463348 | + | 0.101459i | ||||
\(469\) | −0.0616101 | − | 0.0711019i | −0.00284489 | − | 0.00328318i | ||||
\(470\) | −2.04235 | − | 1.31254i | −0.0942067 | − | 0.0605430i | ||||
\(471\) | 0.743725 | − | 5.17272i | 0.0342690 | − | 0.238346i | ||||
\(472\) | 0.950388 | − | 6.61009i | 0.0437451 | − | 0.304254i | ||||
\(473\) | −28.5911 | − | 18.3744i | −1.31462 | − | 0.844854i | ||||
\(474\) | −2.70993 | − | 3.12742i | −0.124471 | − | 0.143647i | ||||
\(475\) | −1.06931 | − | 2.34147i | −0.0490635 | − | 0.107434i | ||||
\(476\) | −5.60483 | + | 3.60201i | −0.256897 | + | 0.165098i | ||||
\(477\) | −0.251920 | − | 0.0739703i | −0.0115346 | − | 0.00338687i | ||||
\(478\) | 5.19840 | − | 5.99927i | 0.237769 | − | 0.274400i | ||||
\(479\) | −35.4377 | + | 10.4054i | −1.61919 | + | 0.475437i | −0.960800 | − | 0.277241i | \(-0.910580\pi\) |
−0.658389 | + | 0.752678i | \(0.728762\pi\) | |||||||
\(480\) | 0.163310 | − | 0.357599i | 0.00745405 | − | 0.0163221i | ||||
\(481\) | −3.33673 | − | 23.2075i | −0.152142 | − | 1.05817i | ||||
\(482\) | −11.7349 | −0.534508 | ||||||||
\(483\) | −1.85251 | + | 4.42360i | −0.0842920 | + | 0.201281i | ||||
\(484\) | 26.2897 | 1.19499 | ||||||||
\(485\) | 0.361439 | + | 2.51386i | 0.0164121 | + | 0.114149i | ||||
\(486\) | 0.415415 | − | 0.909632i | 0.0188436 | − | 0.0412617i | ||||
\(487\) | −27.2236 | + | 7.99358i | −1.23362 | + | 0.362223i | −0.832615 | − | 0.553852i | \(-0.813157\pi\) |
−0.401005 | + | 0.916076i | \(0.631339\pi\) | |||||||
\(488\) | −3.53977 | + | 4.08511i | −0.160238 | + | 0.184924i | ||||
\(489\) | −10.3077 | − | 3.02661i | −0.466129 | − | 0.136868i | ||||
\(490\) | −0.330718 | + | 0.212539i | −0.0149403 | + | 0.00960156i | ||||
\(491\) | 8.03263 | + | 17.5890i | 0.362508 | + | 0.793781i | 0.999733 | + | 0.0231035i | \(0.00735472\pi\) |
−0.637225 | + | 0.770677i | \(0.719918\pi\) | |||||||
\(492\) | 8.27342 | + | 9.54803i | 0.372994 | + | 0.430458i | ||||
\(493\) | 24.6055 | + | 15.8130i | 1.10818 | + | 0.712183i | ||||
\(494\) | 0.182426 | − | 1.26880i | 0.00820775 | − | 0.0570861i | ||||
\(495\) | 0.341645 | − | 2.37619i | 0.0153558 | − | 0.106802i | ||||
\(496\) | −3.70360 | − | 2.38016i | −0.166297 | − | 0.106872i | ||||
\(497\) | 7.10648 | + | 8.20132i | 0.318769 | + | 0.367879i | ||||
\(498\) | −4.19975 | − | 9.19617i | −0.188195 | − | 0.412090i | ||||
\(499\) | 24.0611 | − | 15.4632i | 1.07712 | − | 0.692226i | 0.123233 | − | 0.992378i | \(-0.460674\pi\) |
0.953892 | + | 0.300152i | \(0.0970373\pi\) | |||||||
\(500\) | 3.71371 | + | 1.09044i | 0.166082 | + | 0.0487662i | ||||
\(501\) | −2.28405 | + | 2.63593i | −0.102044 | + | 0.117765i | ||||
\(502\) | 22.7428 | − | 6.67788i | 1.01506 | − | 0.298048i | ||||
\(503\) | 0.580577 | − | 1.27129i | 0.0258866 | − | 0.0566839i | −0.896247 | − | 0.443555i | \(-0.853717\pi\) |
0.922134 | + | 0.386871i | \(0.126444\pi\) | |||||||
\(504\) | 0.142315 | + | 0.989821i | 0.00633921 | + | 0.0440902i | ||||
\(505\) | −5.99802 | −0.266908 | ||||||||
\(506\) | 25.1280 | + | 15.0416i | 1.11707 | + | 0.668679i | ||||
\(507\) | 7.17767 | 0.318771 | ||||||||
\(508\) | −2.29381 | − | 15.9538i | −0.101772 | − | 0.707836i | ||||
\(509\) | 8.76123 | − | 19.1844i | 0.388335 | − | 0.850334i | −0.609986 | − | 0.792412i | \(-0.708825\pi\) |
0.998321 | − | 0.0579225i | \(-0.0184476\pi\) | |||||||
\(510\) | 2.51309 | − | 0.737910i | 0.111282 | − | 0.0326752i | ||||
\(511\) | 5.72395 | − | 6.60579i | 0.253213 | − | 0.292223i | ||||
\(512\) | 0.959493 | + | 0.281733i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | −0.446905 | + | 0.287209i | −0.0197314 | + | 0.0126806i | ||||
\(514\) | −12.2169 | − | 26.7512i | −0.538864 | − | 1.17995i | ||||
\(515\) | 2.67442 | + | 3.08644i | 0.117849 | + | 0.136005i | ||||
\(516\) | −4.68205 | − | 3.00897i | −0.206116 | − | 0.132463i | ||||
\(517\) | 5.36683 | − | 37.3271i | 0.236033 | − | 1.64164i | ||||
\(518\) | 1.38284 | − | 9.61788i | 0.0607586 | − | 0.422585i | ||||
\(519\) | 16.4637 | + | 10.5806i | 0.722676 | + | 0.464436i | ||||
\(520\) | 0.621195 | + | 0.716898i | 0.0272412 | + | 0.0314380i | ||||
\(521\) | 16.3939 | + | 35.8977i | 0.718232 | + | 1.57271i | 0.816366 | + | 0.577535i | \(0.195985\pi\) |
−0.0981344 | + | 0.995173i | \(0.531288\pi\) | |||||||
\(522\) | 3.69315 | − | 2.37345i | 0.161645 | − | 0.103883i | ||||
\(523\) | 15.9234 | + | 4.67554i | 0.696284 | + | 0.204447i | 0.610675 | − | 0.791882i | \(-0.290898\pi\) |
0.0856088 | + | 0.996329i | \(0.472716\pi\) | |||||||
\(524\) | −6.75773 | + | 7.79883i | −0.295213 | + | 0.340694i | ||||
\(525\) | −4.64918 | + | 1.36512i | −0.202907 | + | 0.0595788i | ||||
\(526\) | 7.54690 | − | 16.5254i | 0.329060 | − | 0.720542i | ||||
\(527\) | −4.17430 | − | 29.0329i | −0.181835 | − | 1.26469i | ||||
\(528\) | 6.10653 | 0.265752 | ||||||||
\(529\) | 10.8653 | + | 20.2718i | 0.472406 | + | 0.881381i | ||||
\(530\) | −0.103217 | −0.00448346 | ||||||||
\(531\) | −0.950388 | − | 6.61009i | −0.0412433 | − | 0.286853i | ||||
\(532\) | 0.220684 | − | 0.483231i | 0.00956787 | − | 0.0209507i | ||||
\(533\) | −29.2500 | + | 8.58858i | −1.26696 | + | 0.372013i | ||||
\(534\) | −0.331487 | + | 0.382557i | −0.0143449 | + | 0.0165549i | ||||
\(535\) | 4.23241 | + | 1.24275i | 0.182983 | + | 0.0537287i | ||||
\(536\) | −0.0791462 | + | 0.0508642i | −0.00341860 | + | 0.00219700i | ||||
\(537\) | 2.01225 | + | 4.40620i | 0.0868348 | + | 0.190142i | ||||
\(538\) | −8.85847 | − | 10.2232i | −0.381916 | − | 0.440754i | ||||
\(539\) | −5.13714 | − | 3.30144i | −0.221272 | − | 0.142203i | ||||
\(540\) | 0.0559475 | − | 0.389124i | 0.00240760 | − | 0.0167452i | ||||
\(541\) | 1.04254 | − | 7.25099i | 0.0448221 | − | 0.311744i | −0.955060 | − | 0.296411i | \(-0.904210\pi\) |
0.999882 | − | 0.0153330i | \(-0.00488085\pi\) | |||||||
\(542\) | −6.02996 | − | 3.87522i | −0.259009 | − | 0.166455i | ||||
\(543\) | −6.01920 | − | 6.94653i | −0.258309 | − | 0.298104i | ||||
\(544\) | 2.76769 | + | 6.06040i | 0.118664 | + | 0.259838i | ||||
\(545\) | −2.19036 | + | 1.40766i | −0.0938246 | + | 0.0602974i | ||||
\(546\) | −2.31521 | − | 0.679807i | −0.0990818 | − | 0.0290930i | ||||
\(547\) | −2.31486 | + | 2.67149i | −0.0989764 | + | 0.114225i | −0.803077 | − | 0.595876i | \(-0.796805\pi\) |
0.704100 | + | 0.710101i | \(0.251351\pi\) | |||||||
\(548\) | 20.6076 | − | 6.05095i | 0.880315 | − | 0.258484i | ||||
\(549\) | −2.24548 | + | 4.91690i | −0.0958345 | + | 0.209848i | ||||
\(550\) | 4.21094 | + | 29.2877i | 0.179555 | + | 1.24883i | ||||
\(551\) | −2.33217 | −0.0993536 | ||||||||
\(552\) | 4.11493 | + | 2.46319i | 0.175143 | + | 0.104841i | ||||
\(553\) | 4.13817 | 0.175973 | ||||||||
\(554\) | −2.56171 | − | 17.8171i | −0.108837 | − | 0.756975i | ||||
\(555\) | −1.58685 | + | 3.47471i | −0.0673580 | + | 0.147493i | ||||
\(556\) | −8.88813 | + | 2.60979i | −0.376941 | + | 0.110680i | ||||
\(557\) | 27.5151 | − | 31.7542i | 1.16585 | − | 1.34547i | 0.238562 | − | 0.971127i | \(-0.423324\pi\) |
0.927292 | − | 0.374340i | \(-0.122131\pi\) | |||||||
\(558\) | −4.22415 | − | 1.24032i | −0.178823 | − | 0.0525071i | ||||
\(559\) | 11.2976 | − | 7.26050i | 0.477836 | − | 0.307086i | ||||
\(560\) | 0.163310 | + | 0.357599i | 0.00690111 | + | 0.0151113i | ||||
\(561\) | 26.6427 | + | 30.7474i | 1.12486 | + | 1.29815i | ||||
\(562\) | −1.49285 | − | 0.959398i | −0.0629722 | − | 0.0404698i | ||||
\(563\) | −2.76258 | + | 19.2142i | −0.116429 | + | 0.809780i | 0.845008 | + | 0.534754i | \(0.179596\pi\) |
−0.961437 | + | 0.275026i | \(0.911313\pi\) | |||||||
\(564\) | 0.878867 | − | 6.11265i | 0.0370070 | − | 0.257389i | ||||
\(565\) | 0.114572 | + | 0.0736311i | 0.00482009 | + | 0.00309768i | ||||
\(566\) | −6.91812 | − | 7.98393i | −0.290790 | − | 0.335590i | ||||
\(567\) | 0.415415 | + | 0.909632i | 0.0174458 | + | 0.0382010i | ||||
\(568\) | 9.12920 | − | 5.86698i | 0.383053 | − | 0.246173i | ||||
\(569\) | 37.5935 | + | 11.0384i | 1.57600 | + | 0.462755i | 0.948741 | − | 0.316056i | \(-0.102359\pi\) |
0.627259 | + | 0.778811i | \(0.284177\pi\) | |||||||
\(570\) | −0.136763 | + | 0.157833i | −0.00572837 | + | 0.00661089i | ||||
\(571\) | −26.1615 | + | 7.68170i | −1.09482 | + | 0.321469i | −0.778793 | − | 0.627280i | \(-0.784168\pi\) |
−0.316029 | + | 0.948749i | \(0.602350\pi\) | |||||||
\(572\) | −6.12104 | + | 13.4032i | −0.255933 | + | 0.560416i | ||||
\(573\) | 1.93002 | + | 13.4236i | 0.0806276 | + | 0.560777i | ||||
\(574\) | −12.6339 | −0.527327 | ||||||||
\(575\) | −8.97623 | + | 21.4343i | −0.374335 | + | 0.893874i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −0.110732 | − | 0.770160i | −0.00460985 | − | 0.0320622i | 0.987387 | − | 0.158327i | \(-0.0506101\pi\) |
−0.991997 | + | 0.126265i | \(0.959701\pi\) | |||||||
\(578\) | −11.3776 | + | 24.9135i | −0.473247 | + | 1.03627i | ||||
\(579\) | 19.6997 | − | 5.78437i | 0.818693 | − | 0.240390i | ||||
\(580\) | 1.13019 | − | 1.30431i | 0.0469285 | − | 0.0541583i | ||||
\(581\) | 9.70025 | + | 2.84825i | 0.402434 | + | 0.118165i | ||||
\(582\) | −5.43477 | + | 3.49271i | −0.225278 | + | 0.144778i | ||||
\(583\) | −0.666035 | − | 1.45841i | −0.0275843 | − | 0.0604013i | ||||
\(584\) | −5.72395 | − | 6.60579i | −0.236859 | − | 0.273350i | ||||
\(585\) | 0.798006 | + | 0.512847i | 0.0329935 | + | 0.0212036i | ||||
\(586\) | −3.20081 | + | 22.2621i | −0.132224 | + | 0.919639i | ||||
\(587\) | −4.24491 | + | 29.5240i | −0.175206 | + | 1.21858i | 0.692467 | + | 0.721449i | \(0.256524\pi\) |
−0.867673 | + | 0.497135i | \(0.834385\pi\) | |||||||
\(588\) | −0.841254 | − | 0.540641i | −0.0346927 | − | 0.0222957i | ||||
\(589\) | 1.53157 | + | 1.76752i | 0.0631070 | + | 0.0728294i | ||||
\(590\) | −1.09060 | − | 2.38807i | −0.0448991 | − | 0.0983153i | ||||
\(591\) | −20.2931 | + | 13.0416i | −0.834746 | + | 0.536459i | ||||
\(592\) | −9.32318 | − | 2.73753i | −0.383181 | − | 0.112512i | ||||
\(593\) | −29.4893 | + | 34.0324i | −1.21098 | + | 1.39754i | −0.317609 | + | 0.948222i | \(0.602880\pi\) |
−0.893370 | + | 0.449323i | \(0.851665\pi\) | |||||||
\(594\) | 5.85917 | − | 1.72041i | 0.240405 | − | 0.0705892i | ||||
\(595\) | −1.08805 | + | 2.38250i | −0.0446057 | + | 0.0976728i | ||||
\(596\) | 1.34160 | + | 9.33104i | 0.0549541 | + | 0.382214i | ||||
\(597\) | −0.851379 | −0.0348446 | ||||||||
\(598\) | −9.53117 | + | 6.56281i | −0.389758 | + | 0.268373i | ||||
\(599\) | 37.7694 | 1.54322 | 0.771608 | − | 0.636099i | \(-0.219453\pi\) | ||||
0.771608 | + | 0.636099i | \(0.219453\pi\) | |||||||
\(600\) | 0.689580 | + | 4.79613i | 0.0281520 | + | 0.195801i | ||||
\(601\) | 0.562033 | − | 1.23068i | 0.0229258 | − | 0.0502005i | −0.897823 | − | 0.440357i | \(-0.854852\pi\) |
0.920749 | + | 0.390157i | \(0.127579\pi\) | |||||||
\(602\) | 5.34012 | − | 1.56800i | 0.217647 | − | 0.0639070i | ||||
\(603\) | −0.0616101 | + | 0.0711019i | −0.00250896 | + | 0.00289549i | ||||
\(604\) | 15.8317 | + | 4.64860i | 0.644181 | + | 0.189149i | ||||
\(605\) | 8.69447 | − | 5.58759i | 0.353480 | − | 0.227168i | ||||
\(606\) | −6.33810 | − | 13.8785i | −0.257468 | − | 0.563776i | ||||
\(607\) | −15.0731 | − | 17.3953i | −0.611797 | − | 0.706052i | 0.362331 | − | 0.932050i | \(-0.381981\pi\) |
−0.974128 | + | 0.225998i | \(0.927436\pi\) | |||||||
\(608\) | −0.446905 | − | 0.287209i | −0.0181244 | − | 0.0116479i | ||||
\(609\) | −0.624771 | + | 4.34538i | −0.0253170 | + | 0.176084i | ||||
\(610\) | −0.302418 | + | 2.10336i | −0.0122445 | + | 0.0851626i | ||||
\(611\) | 12.5357 | + | 8.05620i | 0.507140 | + | 0.325919i | ||||
\(612\) | 4.36299 | + | 5.03516i | 0.176364 | + | 0.203534i | ||||
\(613\) | −4.64497 | − | 10.1711i | −0.187609 | − | 0.410806i | 0.792333 | − | 0.610088i | \(-0.208866\pi\) |
−0.979942 | + | 0.199283i | \(0.936139\pi\) | |||||||
\(614\) | −11.0174 | + | 7.08043i | −0.444625 | + | 0.285743i | ||||
\(615\) | 4.76550 | + | 1.39928i | 0.192164 | + | 0.0564243i | ||||
\(616\) | −3.99892 | + | 4.61501i | −0.161121 | + | 0.185944i | ||||
\(617\) | −7.90378 | + | 2.32076i | −0.318194 | + | 0.0934303i | −0.436930 | − | 0.899496i | \(-0.643934\pi\) |
0.118735 | + | 0.992926i | \(0.462116\pi\) | |||||||
\(618\) | −4.31551 | + | 9.44965i | −0.173595 | + | 0.380120i | ||||
\(619\) | 2.68078 | + | 18.6452i | 0.107750 | + | 0.749415i | 0.970030 | + | 0.242984i | \(0.0781264\pi\) |
−0.862281 | + | 0.506431i | \(0.830965\pi\) | |||||||
\(620\) | −1.73073 | −0.0695077 | ||||||||
\(621\) | 4.64221 | + | 1.20411i | 0.186286 | + | 0.0483191i | ||||
\(622\) | 32.7084 | 1.31149 | ||||||||
\(623\) | −0.0720391 | − | 0.501043i | −0.00288618 | − | 0.0200739i | ||||
\(624\) | −1.00238 | + | 2.19490i | −0.0401272 | + | 0.0878662i | ||||
\(625\) | −21.7859 | + | 6.39693i | −0.871437 | + | 0.255877i | ||||
\(626\) | 5.09896 | − | 5.88451i | 0.203795 | − | 0.235192i | ||||
\(627\) | −3.11261 | − | 0.913945i | −0.124306 | − | 0.0364995i | ||||
\(628\) | 4.39632 | − | 2.82534i | 0.175432 | − | 0.112743i | ||||
\(629\) | −26.8931 | − | 58.8876i | −1.07230 | − | 2.34800i | ||||
\(630\) | 0.257442 | + | 0.297104i | 0.0102567 | + | 0.0118369i | ||||
\(631\) | 14.8079 | + | 9.51649i | 0.589495 | + | 0.378845i | 0.801118 | − | 0.598506i | \(-0.204239\pi\) |
−0.211623 | + | 0.977351i | \(0.567875\pi\) | |||||||
\(632\) | 0.588923 | − | 4.09605i | 0.0234261 | − | 0.162932i | ||||
\(633\) | 1.32911 | − | 9.24417i | 0.0528274 | − | 0.367423i | ||||
\(634\) | 7.81870 | + | 5.02477i | 0.310520 | + | 0.199559i | ||||
\(635\) | −4.14942 | − | 4.78869i | −0.164665 | − | 0.190033i | ||||
\(636\) | −0.109069 | − | 0.238829i | −0.00432488 | − | 0.00947017i | ||||
\(637\) | 2.02990 | − | 1.30454i | 0.0804277 | − | 0.0516877i | ||||
\(638\) | 25.7221 | + | 7.55270i | 1.01835 | + | 0.299014i | ||||
\(639\) | 7.10648 | − | 8.20132i | 0.281128 | − | 0.324439i | ||||
\(640\) | 0.377201 | − | 0.110756i | 0.0149102 | − | 0.00437802i | ||||
\(641\) | −19.5063 | + | 42.7128i | −0.770452 | + | 1.68706i | −0.0447982 | + | 0.998996i | \(0.514264\pi\) |
−0.725654 | + | 0.688059i | \(0.758463\pi\) | |||||||
\(642\) | 1.59686 | + | 11.1064i | 0.0630229 | + | 0.438334i | ||||
\(643\) | 32.2185 | 1.27057 | 0.635287 | − | 0.772276i | \(-0.280882\pi\) | ||||
0.635287 | + | 0.772276i | \(0.280882\pi\) | |||||||
\(644\) | −4.55627 | + | 1.49681i | −0.179542 | + | 0.0589826i | ||||
\(645\) | −2.18796 | −0.0861510 | ||||||||
\(646\) | −0.503703 | − | 3.50333i | −0.0198179 | − | 0.137837i | ||||
\(647\) | 1.52355 | − | 3.33611i | 0.0598969 | − | 0.131156i | −0.877317 | − | 0.479912i | \(-0.840669\pi\) |
0.937214 | + | 0.348756i | \(0.113396\pi\) | |||||||
\(648\) | 0.959493 | − | 0.281733i | 0.0376924 | − | 0.0110675i | ||||
\(649\) | 26.7051 | − | 30.8193i | 1.04827 | − | 1.20976i | ||||
\(650\) | −11.2182 | − | 3.29397i | −0.440015 | − | 0.129200i | ||||
\(651\) | 3.70360 | − | 2.38016i | 0.145156 | − | 0.0932859i | ||||
\(652\) | −4.46274 | − | 9.77203i | −0.174774 | − | 0.382702i | ||||
\(653\) | −22.9930 | − | 26.5353i | −0.899784 | − | 1.03841i | −0.999060 | − | 0.0433458i | \(-0.986198\pi\) |
0.0992764 | − | 0.995060i | \(-0.468347\pi\) | |||||||
\(654\) | −5.57165 | − | 3.58068i | −0.217869 | − | 0.140016i | ||||
\(655\) | −0.577342 | + | 4.01550i | −0.0225586 | + | 0.156899i | ||||
\(656\) | −1.79798 | + | 12.5053i | −0.0701995 | + | 0.488248i | ||||
\(657\) | −7.35316 | − | 4.72559i | −0.286874 | − | 0.184363i | ||||
\(658\) | 4.04410 | + | 4.66714i | 0.157655 | + | 0.181944i | ||||
\(659\) | −2.79287 | − | 6.11554i | −0.108795 | − | 0.238228i | 0.847402 | − | 0.530952i | \(-0.178165\pi\) |
−0.956197 | + | 0.292724i | \(0.905438\pi\) | |||||||
\(660\) | 2.01954 | − | 1.29788i | 0.0786104 | − | 0.0505198i | ||||
\(661\) | −37.4036 | − | 10.9827i | −1.45483 | − | 0.427177i | −0.543696 | − | 0.839282i | \(-0.682976\pi\) |
−0.911136 | + | 0.412105i | \(0.864794\pi\) | |||||||
\(662\) | 18.0946 | − | 20.8823i | 0.703266 | − | 0.811613i | ||||
\(663\) | −15.4250 | + | 4.52920i | −0.599058 | + | 0.175899i | ||||
\(664\) | 4.19975 | − | 9.19617i | 0.162982 | − | 0.356881i | ||||
\(665\) | −0.0297214 | − | 0.206717i | −0.00115255 | − | 0.00801615i | ||||
\(666\) | −9.71678 | −0.376518 | ||||||||
\(667\) | 14.2865 | + | 15.4650i | 0.553176 | + | 0.598807i | ||||
\(668\) | −3.48784 | −0.134948 | ||||||||
\(669\) | 1.66329 | + | 11.5685i | 0.0643067 | + | 0.447263i | ||||
\(670\) | −0.0153644 | + | 0.0336434i | −0.000593579 | + | 0.00129976i | ||||
\(671\) | −31.6710 | + | 9.29945i | −1.22265 | + | 0.359001i | ||||
\(672\) | −0.654861 | + | 0.755750i | −0.0252618 | + | 0.0291537i | ||||
\(673\) | −24.3676 | − | 7.15496i | −0.939301 | − | 0.275804i | −0.223975 | − | 0.974595i | \(-0.571903\pi\) |
−0.715326 | + | 0.698791i | \(0.753722\pi\) | |||||||
\(674\) | −7.01436 | + | 4.50785i | −0.270183 | + | 0.173636i | ||||
\(675\) | 2.01287 | + | 4.40758i | 0.0774755 | + | 0.169648i | ||||
\(676\) | 4.70037 | + | 5.42452i | 0.180784 | + | 0.208635i | ||||
\(677\) | 18.4618 | + | 11.8647i | 0.709544 | + | 0.455996i | 0.844986 | − | 0.534789i | \(-0.179609\pi\) |
−0.135441 | + | 0.990785i | \(0.543245\pi\) | |||||||
\(678\) | −0.0493028 | + | 0.342909i | −0.00189346 | + | 0.0131693i | ||||
\(679\) | 0.919400 | − | 6.39456i | 0.0352833 | − | 0.245401i | ||||
\(680\) | 2.20340 | + | 1.41604i | 0.0844965 | + | 0.0543026i | ||||
\(681\) | 1.32514 | + | 1.52929i | 0.0507793 | + | 0.0586024i | ||||
\(682\) | −11.1680 | − | 24.4544i | −0.427644 | − | 0.936409i | ||||
\(683\) | 43.6692 | − | 28.0645i | 1.67096 | − | 1.07386i | 0.772235 | − | 0.635336i | \(-0.219139\pi\) |
0.898721 | − | 0.438522i | \(-0.144498\pi\) | |||||||
\(684\) | −0.509719 | − | 0.149667i | −0.0194896 | − | 0.00572266i | ||||
\(685\) | 5.52925 | − | 6.38110i | 0.211262 | − | 0.243809i | ||||
\(686\) | 0.959493 | − | 0.281733i | 0.0366336 | − | 0.0107566i | ||||
\(687\) | 4.26215 | − | 9.33280i | 0.162611 | − | 0.356069i | ||||
\(688\) | −0.792063 | − | 5.50892i | −0.0301971 | − | 0.210025i | ||||
\(689\) | 0.633533 | 0.0241357 | ||||||||
\(690\) | 1.88441 | − | 0.0599634i | 0.0717382 | − | 0.00228277i | ||||
\(691\) | −19.2555 | −0.732514 | −0.366257 | − | 0.930514i | \(-0.619361\pi\) | ||||
−0.366257 | + | 0.930514i | \(0.619361\pi\) | |||||||
\(692\) | 2.78516 | + | 19.3712i | 0.105876 | + | 0.736384i | ||||
\(693\) | −2.53674 | + | 5.55469i | −0.0963629 | + | 0.211005i | ||||
\(694\) | −13.4589 | + | 3.95188i | −0.510892 | + | 0.150011i | ||||
\(695\) | −2.38478 | + | 2.75218i | −0.0904599 | + | 0.104396i | ||||
\(696\) | 4.21223 | + | 1.23682i | 0.159664 | + | 0.0468817i | ||||
\(697\) | −70.8106 | + | 45.5072i | −2.68214 | + | 1.72371i | ||||
\(698\) | −10.2886 | − | 22.5288i | −0.389428 | − | 0.852729i | ||||
\(699\) | −18.1957 | − | 20.9989i | −0.688224 | − | 0.794253i | ||||
\(700\) | −4.07625 | − | 2.61965i | −0.154068 | − | 0.0990134i | ||||
\(701\) | −5.94215 | + | 41.3286i | −0.224432 | + | 1.56096i | 0.496551 | + | 0.868007i | \(0.334599\pi\) |
−0.720984 | + | 0.692952i | \(0.756310\pi\) | |||||||
\(702\) | −0.343399 | + | 2.38839i | −0.0129607 | + | 0.0901440i | ||||
\(703\) | 4.34248 | + | 2.79074i | 0.163780 | + | 0.105255i | ||||
\(704\) | 3.99892 | + | 4.61501i | 0.150715 | + | 0.173935i | ||||
\(705\) | −1.00852 | − | 2.20836i | −0.0379832 | − | 0.0831716i | ||||
\(706\) | 5.67653 | − | 3.64809i | 0.213639 | − | 0.137298i | ||||
\(707\) | 14.6393 | + | 4.29847i | 0.550566 | + | 0.161661i | ||||
\(708\) | 4.37320 | − | 5.04694i | 0.164355 | − | 0.189676i | ||||
\(709\) | 33.1433 | − | 9.73176i | 1.24472 | − | 0.365484i | 0.407935 | − | 0.913011i | \(-0.366249\pi\) |
0.836788 | + | 0.547527i | \(0.184431\pi\) | |||||||
\(710\) | 1.77222 | − | 3.88063i | 0.0665104 | − | 0.145637i | ||||
\(711\) | −0.588923 | − | 4.09605i | −0.0220864 | − | 0.153614i | ||||
\(712\) | −0.506195 | −0.0189705 | ||||||||
\(713\) | 2.33858 | − | 20.9837i | 0.0875805 | − | 0.785844i | ||||
\(714\) | −6.66247 | −0.249337 | ||||||||
\(715\) | 0.824373 | + | 5.73364i | 0.0308298 | + | 0.214426i | ||||
\(716\) | −2.01225 | + | 4.40620i | −0.0752011 | + | 0.164668i | ||||
\(717\) | 7.61662 | − | 2.23644i | 0.284448 | − | 0.0835214i | ||||
\(718\) | 12.0888 | − | 13.9512i | 0.451149 | − | 0.520654i | ||||
\(719\) | −3.76542 | − | 1.10563i | −0.140427 | − | 0.0412330i | 0.210764 | − | 0.977537i | \(-0.432405\pi\) |
−0.351191 | + | 0.936304i | \(0.614223\pi\) | |||||||
\(720\) | 0.330718 | − | 0.212539i | 0.0123251 | − | 0.00792088i | ||||
\(721\) | −4.31551 | − | 9.44965i | −0.160718 | − | 0.351923i | ||||
\(722\) | −12.2575 | − | 14.1460i | −0.456179 | − | 0.526458i | ||||
\(723\) | −9.87200 | − | 6.34435i | −0.367143 | − | 0.235949i | ||||
\(724\) | 1.30810 | − | 9.09802i | 0.0486151 | − | 0.338125i | ||||
\(725\) | −3.02730 | + | 21.0553i | −0.112431 | + | 0.781975i | ||||
\(726\) | 22.1163 | + | 14.2133i | 0.820812 | + | 0.527504i | ||||
\(727\) | −8.57157 | − | 9.89212i | −0.317902 | − | 0.366878i | 0.574198 | − | 0.818716i | \(-0.305314\pi\) |
−0.892100 | + | 0.451838i | \(0.850768\pi\) | |||||||
\(728\) | −1.00238 | − | 2.19490i | −0.0371505 | − | 0.0813483i | ||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | −3.29701 | − | 0.968088i | −0.122028 | − | 0.0358305i | ||||
\(731\) | 24.2825 | − | 28.0235i | 0.898122 | − | 1.03649i | ||||
\(732\) | −5.18642 | + | 1.52287i | −0.191696 | + | 0.0562869i | ||||
\(733\) | 6.94450 | − | 15.2063i | 0.256501 | − | 0.561659i | −0.736946 | − | 0.675952i | \(-0.763733\pi\) |
0.993447 | + | 0.114293i | \(0.0364601\pi\) | |||||||
\(734\) | −0.327851 | − | 2.28025i | −0.0121012 | − | 0.0841657i | ||||
\(735\) | −0.393125 | −0.0145006 | ||||||||
\(736\) | 0.833150 | + | 4.72291i | 0.0307103 | + | 0.174089i | ||||
\(737\) | −0.574510 | −0.0211623 | ||||||||
\(738\) | 1.79798 | + | 12.5053i | 0.0661847 | + | 0.460325i | ||||
\(739\) | 11.0024 | − | 24.0918i | 0.404728 | − | 0.886231i | −0.592041 | − | 0.805908i | \(-0.701677\pi\) |
0.996769 | − | 0.0803232i | \(-0.0255952\pi\) | |||||||
\(740\) | −3.66518 | + | 1.07619i | −0.134735 | + | 0.0395617i | ||||
\(741\) | 0.839433 | − | 0.968758i | 0.0308374 | − | 0.0355882i | ||||
\(742\) | 0.251920 | + | 0.0739703i | 0.00924827 | + | 0.00271554i | ||||
\(743\) | 20.3482 | − | 13.0770i | 0.746501 | − | 0.479747i | −0.111263 | − | 0.993791i | \(-0.535489\pi\) |
0.857764 | + | 0.514044i | \(0.171853\pi\) | |||||||
\(744\) | −1.82886 | − | 4.00464i | −0.0670492 | − | 0.146817i | ||||
\(745\) | 2.42691 | + | 2.80080i | 0.0889149 | + | 0.102613i | ||||
\(746\) | −25.2093 | − | 16.2010i | −0.922978 | − | 0.593162i | ||||
\(747\) | 1.43877 | − | 10.0069i | 0.0526418 | − | 0.366132i | ||||
\(748\) | −5.79002 | + | 40.2705i | −0.211704 | + | 1.47243i | ||||
\(749\) | −9.43936 | − | 6.06631i | −0.344907 | − | 0.221658i | ||||
\(750\) | 2.53464 | + | 2.92512i | 0.0925518 | + | 0.106810i | ||||
\(751\) | −14.8844 | − | 32.5923i | −0.543140 | − | 1.18931i | −0.959913 | − | 0.280299i | \(-0.909566\pi\) |
0.416773 | − | 0.909011i | \(-0.363161\pi\) | |||||||
\(752\) | 5.19517 | − | 3.33873i | 0.189448 | − | 0.121751i | ||||
\(753\) | 22.7428 | + | 6.67788i | 0.828792 | + | 0.243355i | ||||
\(754\) | −6.93694 | + | 8.00566i | −0.252628 | + | 0.291549i | ||||
\(755\) | 6.22382 | − | 1.82748i | 0.226508 | − | 0.0665088i | ||||
\(756\) | −0.415415 | + | 0.909632i | −0.0151085 | + | 0.0330830i | ||||
\(757\) | −1.64340 | − | 11.4301i | −0.0597303 | − | 0.415433i | −0.997646 | − | 0.0685708i | \(-0.978156\pi\) |
0.937916 | − | 0.346863i | \(-0.112753\pi\) | |||||||
\(758\) | 6.01456 | 0.218458 | ||||||||
\(759\) | 13.0069 | + | 26.2390i | 0.472120 | + | 0.952414i | ||||
\(760\) | −0.208843 | −0.00757553 | ||||||||
\(761\) | 3.12166 | + | 21.7116i | 0.113160 | + | 0.787045i | 0.964813 | + | 0.262938i | \(0.0846915\pi\) |
−0.851653 | + | 0.524106i | \(0.824399\pi\) | |||||||
\(762\) | 6.69561 | − | 14.6613i | 0.242556 | − | 0.531124i | ||||
\(763\) | 6.35476 | − | 1.86592i | 0.230058 | − | 0.0675510i | ||||
\(764\) | −8.88096 | + | 10.2492i | −0.321302 | + | 0.370802i | ||||
\(765\) | 2.51309 | + | 0.737910i | 0.0908610 | + | 0.0266792i | ||||
\(766\) | 15.3377 | − | 9.85694i | 0.554174 | − | 0.356146i | ||||
\(767\) | 6.69393 | + | 14.6577i | 0.241704 | + | 0.529258i | ||||
\(768\) | 0.654861 | + | 0.755750i | 0.0236303 | + | 0.0272708i | ||||
\(769\) | 14.0561 | + | 9.03331i | 0.506876 | + | 0.325750i | 0.768961 | − | 0.639295i | \(-0.220774\pi\) |
−0.262085 | + | 0.965045i | \(0.584410\pi\) | |||||||
\(770\) | −0.341645 | + | 2.37619i | −0.0123120 | + | 0.0856321i | ||||
\(771\) | 4.18532 | − | 29.1095i | 0.150731 | − | 1.04835i | ||||
\(772\) | 17.2721 | + | 11.1001i | 0.621637 | + | 0.399502i | ||||
\(773\) | 5.80103 | + | 6.69475i | 0.208649 | + | 0.240793i | 0.850422 | − | 0.526101i | \(-0.176347\pi\) |
−0.641774 | + | 0.766894i | \(0.721801\pi\) | |||||||
\(774\) | −2.31202 | − | 5.06262i | −0.0831038 | − | 0.181972i | ||||
\(775\) | 17.9456 | − | 11.5330i | 0.644626 | − | 0.414276i | ||||
\(776\) | −6.19863 | − | 1.82008i | −0.222518 | − | 0.0653372i | ||||
\(777\) | 6.36314 | − | 7.34345i | 0.228276 | − | 0.263445i | ||||
\(778\) | 23.2416 | − | 6.82434i | 0.833251 | − | 0.244664i | ||||
\(779\) | 2.78809 | − | 6.10507i | 0.0998937 | − | 0.218737i | ||||
\(780\) | 0.134999 | + | 0.938936i | 0.00483373 | + | 0.0336193i | ||||
\(781\) | 66.2674 | 2.37123 | ||||||||
\(782\) | −20.1456 | + | 24.8011i | −0.720404 | + | 0.886884i | ||||
\(783\) | 4.39006 | 0.156888 | ||||||||
\(784\) | −0.142315 | − | 0.989821i | −0.00508267 | − | 0.0353508i | ||||
\(785\) | 0.853444 | − | 1.86878i | 0.0304607 | − | 0.0666997i | ||||
\(786\) | −9.90133 | + | 2.90729i | −0.353169 | + | 0.103700i | ||||
\(787\) | −14.6367 | + | 16.8916i | −0.521742 | + | 0.602122i | −0.954066 | − | 0.299596i | \(-0.903148\pi\) |
0.432324 | + | 0.901718i | \(0.357694\pi\) | |||||||
\(788\) | −23.1453 | − | 6.79608i | −0.824517 | − | 0.242100i | ||||
\(789\) | 15.2832 | − | 9.82189i | 0.544095 | − | 0.349669i | ||||
\(790\) | −0.675805 | − | 1.47981i | −0.0240441 | − | 0.0526492i | ||||
\(791\) | −0.226867 | − | 0.261818i | −0.00806645 | − | 0.00930918i | ||||
\(792\) | 5.13714 | + | 3.30144i | 0.182540 | + | 0.117311i | ||||
\(793\) | 1.85620 | − | 12.9102i | 0.0659156 | − | 0.458453i | ||||
\(794\) | −4.06660 | + | 28.2839i | −0.144318 | + | 1.00376i | ||||
\(795\) | −0.0868317 | − | 0.0558033i | −0.00307960 | − | 0.00197914i | ||||
\(796\) | −0.557535 | − | 0.643429i | −0.0197613 | − | 0.0228058i | ||||
\(797\) | −1.02023 | − | 2.23400i | −0.0361384 | − | 0.0791322i | 0.890702 | − | 0.454588i | \(-0.150213\pi\) |
−0.926840 | + | 0.375456i | \(0.877486\pi\) | |||||||
\(798\) | 0.446905 | − | 0.287209i | 0.0158203 | − | 0.0101671i | ||||
\(799\) | 39.4776 | + | 11.5917i | 1.39662 | + | 0.410083i | ||||
\(800\) | −3.17310 | + | 3.66195i | −0.112186 | + | 0.129469i | ||||
\(801\) | −0.485691 | + | 0.142612i | −0.0171610 | + | 0.00503894i | ||||
\(802\) | −3.84139 | + | 8.41147i | −0.135644 | + | 0.297019i | ||||
\(803\) | −7.59611 | − | 52.8321i | −0.268061 | − | 1.86441i | ||||
\(804\) | −0.0940813 | −0.00331799 | ||||||||
\(805\) | −1.18871 | + | 1.46341i | −0.0418964 | + | 0.0515784i | ||||
\(806\) | 10.6230 | 0.374178 | ||||||||
\(807\) | −1.92513 | − | 13.3896i | −0.0677678 | − | 0.471335i | ||||
\(808\) | 6.33810 | − | 13.8785i | 0.222974 | − | 0.488244i | ||||
\(809\) | −3.04017 | + | 0.892675i | −0.106887 | + | 0.0313848i | −0.334739 | − | 0.942311i | \(-0.608648\pi\) |
0.227852 | + | 0.973696i | \(0.426830\pi\) | |||||||
\(810\) | 0.257442 | − | 0.297104i | 0.00904560 | − | 0.0104392i | ||||
\(811\) | 22.1232 | + | 6.49596i | 0.776851 | + | 0.228104i | 0.646040 | − | 0.763303i | \(-0.276424\pi\) |
0.130811 | + | 0.991407i | \(0.458242\pi\) | |||||||
\(812\) | −3.69315 | + | 2.37345i | −0.129604 | + | 0.0832916i | ||||
\(813\) | −2.97763 | − | 6.52009i | −0.104430 | − | 0.228670i | ||||
\(814\) | −38.8567 | − | 44.8430i | −1.36193 | − | 1.57175i | ||||
\(815\) | −3.55285 | − | 2.28328i | −0.124451 | − | 0.0799797i | ||||
\(816\) | −0.948169 | + | 6.59466i | −0.0331926 | + | 0.230859i | ||||
\(817\) | −0.420773 | + | 2.92654i | −0.0147210 | + | 0.102387i | ||||
\(818\) | 10.5565 | + | 6.78427i | 0.369101 | + | 0.237206i | ||||
\(819\) | −1.58015 | − | 1.82359i | −0.0552148 | − | 0.0637213i | ||||
\(820\) | 2.06324 | + | 4.51786i | 0.0720513 | + | 0.157770i | ||||
\(821\) | −19.6793 | + | 12.6471i | −0.686811 | + | 0.441387i | −0.836951 | − | 0.547278i | \(-0.815664\pi\) |
0.150140 | + | 0.988665i | \(0.452028\pi\) | |||||||
\(822\) | 20.6076 | + | 6.05095i | 0.718774 | + | 0.211051i | ||||
\(823\) | −0.682567 | + | 0.787724i | −0.0237928 | + | 0.0274583i | −0.767521 | − | 0.641024i | \(-0.778510\pi\) |
0.743728 | + | 0.668482i | \(0.233056\pi\) | |||||||
\(824\) | −9.96762 | + | 2.92676i | −0.347239 | + | 0.101958i | ||||
\(825\) | −12.2917 | + | 26.9150i | −0.427941 | + | 0.937060i | ||||
\(826\) | 0.950388 | + | 6.61009i | 0.0330682 | + | 0.229994i | ||||
\(827\) | −29.4329 | −1.02348 | −0.511741 | − | 0.859140i | \(-0.670999\pi\) | ||||
−0.511741 | + | 0.859140i | \(0.670999\pi\) | |||||||
\(828\) | 2.13000 | + | 4.29687i | 0.0740226 | + | 0.149327i | ||||
\(829\) | −19.6802 | −0.683520 | −0.341760 | − | 0.939787i | \(-0.611023\pi\) | ||||
−0.341760 | + | 0.939787i | \(0.611023\pi\) | |||||||
\(830\) | −0.565617 | − | 3.93395i | −0.0196328 | − | 0.136549i | ||||
\(831\) | 7.47759 | − | 16.3736i | 0.259395 | − | 0.567995i | ||||
\(832\) | −2.31521 | + | 0.679807i | −0.0802654 | + | 0.0235681i | ||||
\(833\) | 4.36299 | − | 5.03516i | 0.151169 | − | 0.174458i | ||||
\(834\) | −8.88813 | − | 2.60979i | −0.307771 | − | 0.0903696i | ||||
\(835\) | −1.15349 | + | 0.741303i | −0.0399182 | + | 0.0256539i | ||||
\(836\) | −1.34761 | − | 2.95086i | −0.0466082 | − | 0.102058i | ||||
\(837\) | −2.88301 | − | 3.32718i | −0.0996515 | − | 0.115004i | ||||
\(838\) | −5.79151 | − | 3.72198i | −0.200065 | − | 0.128574i | ||||
\(839\) | 7.68986 | − | 53.4841i | 0.265483 | − | 1.84648i | −0.224157 | − | 0.974553i | \(-0.571963\pi\) |
0.489641 | − | 0.871924i | \(-0.337128\pi\) | |||||||
\(840\) | −0.0559475 | + | 0.389124i | −0.00193037 | + | 0.0134260i | ||||
\(841\) | −8.18317 | − | 5.25901i | −0.282178 | − | 0.181345i | ||||
\(842\) | −15.7814 | − | 18.2127i | −0.543862 | − | 0.627650i | ||||
\(843\) | −0.737178 | − | 1.61419i | −0.0253898 | − | 0.0555958i | ||||
\(844\) | 7.85666 | − | 5.04917i | 0.270437 | − | 0.173800i | ||||
\(845\) | 2.70742 | + | 0.794971i | 0.0931382 | + | 0.0273478i | ||||
\(846\) | 4.04410 | − | 4.66714i | 0.139039 | − | 0.160460i | ||||
\(847\) | −25.2248 | + | 7.40666i | −0.866733 | + | 0.254496i | ||||
\(848\) | 0.109069 | − | 0.238829i | 0.00374546 | − | 0.00820141i | ||||
\(849\) | −1.50345 | − | 10.4567i | −0.0515983 | − | 0.358874i | ||||
\(850\) | −32.2827 | −1.10729 | ||||||||
\(851\) | −8.09554 | − | 45.8915i | −0.277511 | − | 1.57314i | ||||
\(852\) | 10.8519 | 0.371780 | ||||||||
\(853\) | −0.780030 | − | 5.42523i | −0.0267077 | − | 0.185756i | 0.972100 | − | 0.234565i | \(-0.0753666\pi\) |
−0.998808 | + | 0.0488088i | \(0.984458\pi\) | |||||||
\(854\) | 2.24548 | − | 4.91690i | 0.0768386 | − | 0.168253i | ||||
\(855\) | −0.200383 | + | 0.0588378i | −0.00685296 | + | 0.00201221i | ||||
\(856\) | −7.34792 | + | 8.47995i | −0.251147 | + | 0.289839i | ||||
\(857\) | −54.9147 | − | 16.1244i | −1.87585 | − | 0.550800i | −0.997324 | − | 0.0731080i | \(-0.976708\pi\) |
−0.878528 | − | 0.477692i | \(-0.841474\pi\) | |||||||
\(858\) | −12.3957 | + | 7.96621i | −0.423181 | + | 0.271962i | ||||
\(859\) | 7.00589 | + | 15.3408i | 0.239038 | + | 0.523420i | 0.990690 | − | 0.136140i | \(-0.0434698\pi\) |
−0.751652 | + | 0.659560i | \(0.770743\pi\) | |||||||
\(860\) | −1.43281 | − | 1.65355i | −0.0488585 | − | 0.0563857i | ||||
\(861\) | −10.6283 | − | 6.83038i | −0.362211 | − | 0.232779i | ||||
\(862\) | 2.14124 | − | 14.8926i | 0.0729309 | − | 0.507245i | ||||
\(863\) | −3.32362 | + | 23.1163i | −0.113137 | + | 0.786887i | 0.851698 | + | 0.524033i | \(0.175573\pi\) |
−0.964835 | + | 0.262854i | \(0.915336\pi\) | |||||||
\(864\) | 0.841254 | + | 0.540641i | 0.0286200 | + | 0.0183930i | ||||
\(865\) | 5.03826 | + | 5.81446i | 0.171306 | + | 0.197698i | ||||
\(866\) | −0.150708 | − | 0.330005i | −0.00512128 | − | 0.0112140i | ||||
\(867\) | −23.0407 | + | 14.8074i | −0.782504 | + | 0.502885i | ||||
\(868\) | 4.22415 | + | 1.24032i | 0.143377 | + | 0.0420993i | ||||
\(869\) | 16.5482 | − | 19.0977i | 0.561361 | − | 0.647845i | ||||
\(870\) | 1.65593 | − | 0.486226i | 0.0561414 | − | 0.0164846i | ||||
\(871\) | 0.0943048 | − | 0.206499i | 0.00319540 | − | 0.00699694i | ||||
\(872\) | −0.942556 | − | 6.55562i | −0.0319190 | − | 0.222001i | ||||
\(873\) | −6.46032 | −0.218649 | ||||||||
\(874\) | 0.282191 | − | 2.53205i | 0.00954525 | − | 0.0856479i | ||||
\(875\) | −3.87049 | −0.130847 | ||||||||
\(876\) | −1.24393 | − | 8.65175i | −0.0420286 | − | 0.292315i | ||||
\(877\) | 11.7496 | − | 25.7281i | 0.396756 | − | 0.868775i | −0.600833 | − | 0.799375i | \(-0.705164\pi\) |
0.997589 | − | 0.0694002i | \(-0.0221085\pi\) | |||||||
\(878\) | −33.2206 | + | 9.75444i | −1.12114 | + | 0.329196i | ||||
\(879\) | −14.7285 | + | 16.9976i | −0.496780 | + | 0.573315i | ||||
\(880\) | 2.30339 | + | 0.676335i | 0.0776472 | + | 0.0227993i | ||||
\(881\) | 40.9002 | − | 26.2850i | 1.37796 | − | 0.885563i | 0.378760 | − | 0.925495i | \(-0.376351\pi\) |
0.999202 | + | 0.0399320i | \(0.0127141\pi\) | |||||||
\(882\) | −0.415415 | − | 0.909632i | −0.0139878 | − | 0.0306289i | ||||
\(883\) | −8.54344 | − | 9.85965i | −0.287510 | − | 0.331804i | 0.593561 | − | 0.804789i | \(-0.297722\pi\) |
−0.881070 | + | 0.472986i | \(0.843176\pi\) | |||||||
\(884\) | −13.5242 | − | 8.69146i | −0.454867 | − | 0.292325i | ||||
\(885\) | 0.373621 | − | 2.59859i | 0.0125591 | − | 0.0873507i | ||||
\(886\) | 2.58399 | − | 17.9721i | 0.0868109 | − | 0.603783i | ||||
\(887\) | −39.9747 | − | 25.6902i | −1.34222 | − | 0.862592i | −0.345110 | − | 0.938562i | \(-0.612158\pi\) |
−0.997110 | + | 0.0759701i | \(0.975795\pi\) | |||||||
\(888\) | −6.36314 | − | 7.34345i | −0.213533 | − | 0.246430i | ||||
\(889\) | 6.69561 | + | 14.6613i | 0.224564 | + | 0.491726i | ||||
\(890\) | −0.167408 | + | 0.107586i | −0.00561152 | + | 0.00360631i | ||||
\(891\) | 5.85917 | + | 1.72041i | 0.196290 | + | 0.0576358i | ||||
\(892\) | −7.65363 | + | 8.83277i | −0.256263 | + | 0.295743i | ||||
\(893\) | −3.14777 | + | 0.924270i | −0.105336 | + | 0.0309295i | ||||
\(894\) | −3.91611 | + | 8.57509i | −0.130974 | + | 0.286794i | ||||
\(895\) | 0.271006 | + | 1.88489i | 0.00905875 | + | 0.0630050i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −11.5663 | + | 0.368047i | −0.386186 | + | 0.0122887i | ||||
\(898\) | −7.13298 | −0.238031 | ||||||||
\(899\) | −2.75054 | − | 19.1305i | −0.0917358 | − | 0.638036i | ||||
\(900\) | −2.01287 | + | 4.40758i | −0.0670958 | + | 0.146919i | ||||
\(901\) | 1.67841 | − | 0.492825i | 0.0559159 | − | 0.0164184i | ||||
\(902\) | −50.5218 | + | 58.3053i | −1.68219 | + | 1.94135i | ||||
\(903\) | 5.34012 | + | 1.56800i | 0.177708 | + | 0.0521798i | ||||
\(904\) | −0.291440 | + | 0.187297i | −0.00969314 | + | 0.00622940i | ||||
\(905\) | −1.50108 | − | 3.28690i | −0.0498975 | − | 0.109260i | ||||
\(906\) | 10.8052 | + | 12.4699i | 0.358979 | + | 0.414284i | ||||
\(907\) | 6.74218 | + | 4.33294i | 0.223871 | + | 0.143873i | 0.647769 | − | 0.761837i | \(-0.275702\pi\) |
−0.423898 | + | 0.905710i | \(0.639339\pi\) | |||||||
\(908\) | −0.287979 | + | 2.00294i | −0.00955693 | + | 0.0664699i | ||||
\(909\) | 2.17134 | − | 15.1020i | 0.0720187 | − | 0.500901i | ||||
\(910\) | −0.798006 | − | 0.512847i | −0.0264536 | − | 0.0170007i | ||||
\(911\) | 4.39063 | + | 5.06705i | 0.145468 | + | 0.167879i | 0.823808 | − | 0.566870i | \(-0.191846\pi\) |
−0.678340 | + | 0.734748i | \(0.737300\pi\) | |||||||
\(912\) | −0.220684 | − | 0.483231i | −0.00730758 | − | 0.0160014i | ||||
\(913\) | 51.9353 | − | 33.3768i | 1.71881 | − | 1.10461i | ||||
\(914\) | 9.55563 | + | 2.80579i | 0.316072 | + | 0.0928072i | ||||
\(915\) | −1.39157 | + | 1.60596i | −0.0460040 | + | 0.0530914i | ||||
\(916\) | 9.84437 | − | 2.89057i | 0.325267 | − | 0.0955071i | ||||
\(917\) | 4.28681 | − | 9.38680i | 0.141563 | − | 0.309979i | ||||
\(918\) | 0.948169 | + | 6.59466i | 0.0312942 | + | 0.217656i | ||||
\(919\) | −32.6662 | −1.07756 | −0.538779 | − | 0.842447i | \(-0.681114\pi\) | ||||
−0.538779 | + | 0.842447i | \(0.681114\pi\) | |||||||
\(920\) | 1.27934 | + | 1.38487i | 0.0421787 | + | 0.0456579i | ||||
\(921\) | −13.0964 | −0.431540 | ||||||||
\(922\) | 1.10024 | + | 7.65235i | 0.0362345 | + | 0.252017i | ||||
\(923\) | −10.8777 | + | 23.8188i | −0.358043 | + | 0.784005i | ||||
\(924\) | −5.85917 | + | 1.72041i | −0.192753 | + | 0.0565973i | ||||
\(925\) | 30.8323 | − | 35.5824i | 1.01376 | − | 1.16994i | ||||
\(926\) | 14.3049 | + | 4.20030i | 0.470088 | + | 0.138030i | ||||
\(927\) | −8.73930 | + | 5.61641i | −0.287036 | + | 0.184467i | ||||
\(928\) | 1.82370 | + | 3.99334i | 0.0598658 | + | 0.131088i | ||||
\(929\) | 15.6403 | + | 18.0498i | 0.513140 | + | 0.592195i | 0.951900 | − | 0.306409i | \(-0.0991275\pi\) |
−0.438760 | + | 0.898604i | \(0.644582\pi\) | |||||||
\(930\) | −1.45598 | − | 0.935702i | −0.0477435 | − | 0.0306829i | ||||
\(931\) | −0.0756030 | + | 0.525830i | −0.00247779 | + | 0.0172334i | ||||
\(932\) | 3.95430 | − | 27.5028i | 0.129527 | − | 0.900883i | ||||
\(933\) | 27.5161 | + | 17.6835i | 0.900835 | + | 0.578932i | ||||
\(934\) | −25.0804 | − | 28.9443i | −0.820655 | − | 0.947086i | ||||
\(935\) | 6.64420 | + | 14.5488i | 0.217289 | + | 0.475796i | ||||
\(936\) | −2.02990 | + | 1.30454i | −0.0663495 | + | 0.0426402i | ||||
\(937\) | −3.67701 | − | 1.07967i | −0.120123 | − | 0.0352712i | 0.221119 | − | 0.975247i | \(-0.429029\pi\) |
−0.341241 | + | 0.939976i | \(0.610847\pi\) | |||||||
\(938\) | 0.0616101 | − | 0.0711019i | 0.00201164 | − | 0.00232156i | ||||
\(939\) | 7.47092 | − | 2.19366i | 0.243804 | − | 0.0715874i | ||||
\(940\) | 1.00852 | − | 2.20836i | 0.0328944 | − | 0.0720287i | ||||
\(941\) | 1.50739 | + | 10.4841i | 0.0491395 | + | 0.341773i | 0.999528 | + | 0.0307084i | \(0.00977632\pi\) |
−0.950389 | + | 0.311064i | \(0.899315\pi\) | |||||||
\(942\) | 5.22591 | 0.170269 | ||||||||
\(943\) | −57.5632 | + | 18.9105i | −1.87452 | + | 0.615810i | ||||
\(944\) | 6.67806 | 0.217352 | ||||||||
\(945\) | 0.0559475 | + | 0.389124i | 0.00181997 | + | 0.0126582i | ||||
\(946\) | 14.1184 | − | 30.9150i | 0.459029 | − | 1.00513i | ||||
\(947\) | 22.6169 | − | 6.64092i | 0.734950 | − | 0.215801i | 0.107224 | − | 0.994235i | \(-0.465804\pi\) |
0.627726 | + | 0.778434i | \(0.283986\pi\) | |||||||
\(948\) | 2.70993 | − | 3.12742i | 0.0880143 | − | 0.101574i | ||||
\(949\) | 20.2366 | + | 5.94200i | 0.656907 | + | 0.192885i | ||||
\(950\) | 2.16546 | − | 1.39166i | 0.0702568 | − | 0.0451513i | ||||
\(951\) | 3.86091 | + | 8.45421i | 0.125199 | + | 0.274147i | ||||
\(952\) | −4.36299 | − | 5.03516i | −0.141405 | − | 0.163191i | ||||
\(953\) | 10.8024 | + | 6.94230i | 0.349925 | + | 0.224883i | 0.703781 | − | 0.710417i | \(-0.251494\pi\) |
−0.353856 | + | 0.935300i | \(0.615130\pi\) | |||||||
\(954\) | 0.0373655 | − | 0.259883i | 0.00120975 | − | 0.00841401i | ||||
\(955\) | −0.758738 | + | 5.27714i | −0.0245522 | + | 0.170764i | ||||
\(956\) | 6.67801 | + | 4.29170i | 0.215982 | + | 0.138803i | ||||
\(957\) | 17.5555 | + | 20.2602i | 0.567490 | + | 0.654918i | ||||
\(958\) | −15.3428 | − | 33.5961i | −0.495705 | − | 1.08544i | ||||
\(959\) | −18.0681 | + | 11.6117i | −0.583451 | + | 0.374961i | ||||
\(960\) | 0.377201 | + | 0.110756i | 0.0121741 | + | 0.00357464i | ||||
\(961\) | 7.60826 | − | 8.78040i | 0.245428 | − | 0.283239i | ||||
\(962\) | 22.4964 | − | 6.60553i | 0.725313 | − | 0.212971i | ||||
\(963\) | −4.66120 | + | 10.2066i | −0.150205 | + | 0.328903i | ||||
\(964\) | −1.67005 | − | 11.6154i | −0.0537885 | − | 0.374107i | ||||
\(965\) | 8.07141 | 0.259828 | ||||||||
\(966\) | −4.64221 | − | 1.20411i | −0.149361 | − | 0.0387415i | ||||
\(967\) | −22.4345 | −0.721444 | −0.360722 | − | 0.932673i | \(-0.617470\pi\) | ||||
−0.360722 | + | 0.932673i | \(0.617470\pi\) | |||||||
\(968\) | 3.74141 | + | 26.0221i | 0.120253 | + | 0.836381i | ||||
\(969\) | 1.47030 | − | 3.21951i | 0.0472329 | − | 0.103426i | ||||
\(970\) | −2.43684 | + | 0.715520i | −0.0782422 | + | 0.0229740i | ||||
\(971\) | −30.3748 | + | 35.0544i | −0.974773 | + | 1.12495i | 0.0173709 | + | 0.999849i | \(0.494470\pi\) |
−0.992144 | + | 0.125099i | \(0.960075\pi\) | |||||||
\(972\) | 0.959493 | + | 0.281733i | 0.0307758 | + | 0.00903658i | ||||
\(973\) | 7.79283 | − | 5.00815i | 0.249827 | − | 0.160554i | ||||
\(974\) | −11.7865 | − | 25.8089i | −0.377665 | − | 0.826971i | ||||
\(975\) | −7.65653 | − | 8.83610i | −0.245205 | − | 0.282982i | ||||
\(976\) | −4.54729 | − | 2.92237i | −0.145555 | − | 0.0935427i | ||||
\(977\) | −2.47103 | + | 17.1864i | −0.0790552 | + | 0.549841i | 0.911348 | + | 0.411636i | \(0.135042\pi\) |
−0.990404 | + | 0.138205i | \(0.955867\pi\) | |||||||
\(978\) | 1.52887 | − | 10.6335i | 0.0488877 | − | 0.340022i | ||||
\(979\) | −2.60039 | − | 1.67117i | −0.0831090 | − | 0.0534109i | ||||
\(980\) | −0.257442 | − | 0.297104i | −0.00822369 | − | 0.00949064i | ||||
\(981\) | −2.75131 | − | 6.02452i | −0.0878425 | − | 0.192348i | ||||
\(982\) | −16.2668 | + | 10.4540i | −0.519095 | + | 0.333602i | ||||
\(983\) | 36.5902 | + | 10.7439i | 1.16705 | + | 0.342676i | 0.807167 | − | 0.590322i | \(-0.200999\pi\) |
0.359880 | + | 0.932999i | \(0.382818\pi\) | |||||||
\(984\) | −8.27342 | + | 9.54803i | −0.263747 | + | 0.304380i | ||||
\(985\) | −9.09900 | + | 2.67171i | −0.289918 | + | 0.0851277i | ||||
\(986\) | −12.1503 | + | 26.6055i | −0.386946 | + | 0.847293i | ||||
\(987\) | 0.878867 | + | 6.11265i | 0.0279746 | + | 0.194568i | ||||
\(988\) | 1.28185 | 0.0407811 | ||||||||
\(989\) | 21.9840 | − | 15.1374i | 0.699051 | − | 0.481341i | ||||
\(990\) | 2.40063 | 0.0762970 | ||||||||
\(991\) | −0.0319445 | − | 0.222179i | −0.00101475 | − | 0.00705774i | 0.989308 | − | 0.145843i | \(-0.0465894\pi\) |
−0.990323 | + | 0.138785i | \(0.955680\pi\) | |||||||
\(992\) | 1.82886 | − | 4.00464i | 0.0580663 | − | 0.127147i | ||||
\(993\) | 26.5119 | − | 7.78461i | 0.841331 | − | 0.247037i | ||||
\(994\) | −7.10648 | + | 8.20132i | −0.225404 | + | 0.260130i | ||||
\(995\) | −0.321141 | − | 0.0942955i | −0.0101809 | − | 0.00298937i | ||||
\(996\) | 8.50488 | − | 5.46575i | 0.269487 | − | 0.173189i | ||||
\(997\) | −19.3583 | − | 42.3887i | −0.613082 | − | 1.34246i | −0.920446 | − | 0.390870i | \(-0.872174\pi\) |
0.307364 | − | 0.951592i | \(-0.400553\pi\) | |||||||
\(998\) | 18.7300 | + | 21.6156i | 0.592889 | + | 0.684230i | ||||
\(999\) | −8.17428 | − | 5.25329i | −0.258623 | − | 0.166207i |
(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 | 966.2.q.h.463.1 | yes | 30 | |
23.8 | even | 11 | inner | 966.2.q.h.169.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.h.169.1 | ✓ | 30 | 23.8 | even | 11 | inner | |
966.2.q.h.463.1 | yes | 30 | 1.1 | even | 1 | trivial |