Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,2,Mod(14,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.x (of order \(18\), degree \(6\), 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: | \(1.36544187456\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 110.17 | ||
Character | \(\chi\) | \(=\) | 171.110 |
Dual form | 171.2.x.a.14.17 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{11}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.98542 | − | 1.66596i | 1.40390 | − | 1.17801i | 0.444566 | − | 0.895746i | \(-0.353358\pi\) |
0.959336 | − | 0.282268i | \(-0.0910867\pi\) | |||||||
\(3\) | 0.915994 | + | 1.47002i | 0.528850 | + | 0.848716i | ||||
\(4\) | 0.819153 | − | 4.64565i | 0.409577 | − | 2.32282i | ||||
\(5\) | −1.06492 | + | 2.92585i | −0.476248 | + | 1.30848i | 0.436408 | + | 0.899749i | \(0.356251\pi\) |
−0.912655 | + | 0.408730i | \(0.865972\pi\) | |||||||
\(6\) | 4.26763 | + | 1.39259i | 1.74225 | + | 0.568522i | ||||
\(7\) | −1.52472 | − | 2.64090i | −0.576292 | − | 0.998167i | −0.995900 | − | 0.0904613i | \(-0.971166\pi\) |
0.419608 | − | 0.907705i | \(-0.362167\pi\) | |||||||
\(8\) | −3.52134 | − | 6.09914i | −1.24498 | − | 2.15637i | ||||
\(9\) | −1.32191 | + | 2.69306i | −0.440636 | + | 0.897686i | ||||
\(10\) | 2.76004 | + | 7.58315i | 0.872802 | + | 2.39800i | ||||
\(11\) | − | 3.42745i | − | 1.03342i | −0.856162 | − | 0.516708i | \(-0.827157\pi\) | ||
0.856162 | − | 0.516708i | \(-0.172843\pi\) | |||||||
\(12\) | 7.57953 | − | 3.05122i | 2.18802 | − | 0.880811i | ||||
\(13\) | 0.864317 | + | 2.37469i | 0.239718 | + | 0.658621i | 0.999960 | + | 0.00898021i | \(0.00285853\pi\) |
−0.760241 | + | 0.649641i | \(0.774919\pi\) | |||||||
\(14\) | −7.42686 | − | 2.70316i | −1.98491 | − | 0.722449i | ||||
\(15\) | −5.27651 | + | 1.11461i | −1.36239 | + | 0.287790i | ||||
\(16\) | −8.28661 | − | 3.01608i | −2.07165 | − | 0.754020i | ||||
\(17\) | −1.79294 | + | 4.92607i | −0.434853 | + | 1.19475i | 0.507947 | + | 0.861388i | \(0.330404\pi\) |
−0.942800 | + | 0.333359i | \(0.891818\pi\) | |||||||
\(18\) | 1.86199 | + | 7.54909i | 0.438876 | + | 1.77934i | ||||
\(19\) | −3.57649 | − | 2.49173i | −0.820503 | − | 0.571643i | ||||
\(20\) | 12.7201 | + | 7.34397i | 2.84431 | + | 1.64216i | ||||
\(21\) | 2.48553 | − | 4.66042i | 0.542388 | − | 1.01699i | ||||
\(22\) | −5.71001 | − | 6.80493i | −1.21738 | − | 1.45082i | ||||
\(23\) | 2.96343 | + | 0.522533i | 0.617918 | + | 0.108956i | 0.473840 | − | 0.880611i | \(-0.342867\pi\) |
0.144078 | + | 0.989566i | \(0.453978\pi\) | |||||||
\(24\) | 5.74032 | − | 10.7632i | 1.17174 | − | 2.19703i | ||||
\(25\) | −3.59631 | − | 3.01766i | −0.719262 | − | 0.603533i | ||||
\(26\) | 5.67218 | + | 3.27483i | 1.11241 | + | 0.642248i | ||||
\(27\) | −5.16970 | + | 0.523595i | −0.994910 | + | 0.100766i | ||||
\(28\) | −13.5177 | + | 4.92003i | −2.55460 | + | 0.929799i | ||||
\(29\) | −0.536153 | + | 3.04067i | −0.0995611 | + | 0.564639i | 0.893693 | + | 0.448679i | \(0.148105\pi\) |
−0.993254 | + | 0.115960i | \(0.963006\pi\) | |||||||
\(30\) | −8.61919 | + | 11.0034i | −1.57364 | + | 2.00894i | ||||
\(31\) | − | 0.794029i | − | 0.142612i | −0.997454 | − | 0.0713059i | \(-0.977283\pi\) | ||
0.997454 | − | 0.0713059i | \(-0.0227167\pi\) | |||||||
\(32\) | −8.24116 | + | 2.99954i | −1.45685 | + | 0.530248i | ||||
\(33\) | 5.03842 | − | 3.13953i | 0.877076 | − | 0.546522i | ||||
\(34\) | 4.64691 | + | 12.7673i | 0.796939 | + | 2.18957i | ||||
\(35\) | 9.35059 | − | 1.64876i | 1.58054 | − | 0.278691i | ||||
\(36\) | 11.4282 | + | 8.34715i | 1.90469 | + | 1.39119i | ||||
\(37\) | − | 7.02028i | − | 1.15413i | −0.816699 | − | 0.577064i | \(-0.804198\pi\) | ||
0.816699 | − | 0.577064i | \(-0.195802\pi\) | |||||||
\(38\) | −11.2520 | + | 1.01117i | −1.82531 | + | 0.164033i | ||||
\(39\) | −2.69913 | + | 3.44577i | −0.432207 | + | 0.551764i | ||||
\(40\) | 21.5951 | − | 3.80780i | 3.41449 | − | 0.602066i | ||||
\(41\) | 4.12573 | − | 3.46190i | 0.644330 | − | 0.540657i | −0.261014 | − | 0.965335i | \(-0.584057\pi\) |
0.905345 | + | 0.424678i | \(0.139613\pi\) | |||||||
\(42\) | −2.82927 | − | 13.3937i | −0.436566 | − | 2.06669i | ||||
\(43\) | −0.331522 | − | 1.88015i | −0.0505566 | − | 0.286721i | 0.949039 | − | 0.315159i | \(-0.102058\pi\) |
−0.999596 | + | 0.0284381i | \(0.990947\pi\) | |||||||
\(44\) | −15.9227 | − | 2.80761i | −2.40044 | − | 0.423263i | ||||
\(45\) | −6.47175 | − | 6.73560i | −0.964751 | − | 1.00408i | ||||
\(46\) | 6.75417 | − | 3.89952i | 0.995848 | − | 0.574953i | ||||
\(47\) | 12.8465 | + | 2.26518i | 1.87385 | + | 0.330410i | 0.990412 | − | 0.138143i | \(-0.0441135\pi\) |
0.883435 | + | 0.468553i | \(0.155225\pi\) | |||||||
\(48\) | −3.15680 | − | 14.9442i | −0.455644 | − | 2.15701i | ||||
\(49\) | −1.14957 | + | 1.99111i | −0.164224 | + | 0.284445i | ||||
\(50\) | −12.1675 | −1.72074 | ||||||||
\(51\) | −8.88374 | + | 1.87659i | −1.24397 | + | 0.262776i | ||||
\(52\) | 11.7400 | − | 2.07008i | 1.62804 | − | 0.287068i | ||||
\(53\) | 3.01965 | + | 2.53379i | 0.414781 | + | 0.348043i | 0.826174 | − | 0.563416i | \(-0.190513\pi\) |
−0.411392 | + | 0.911458i | \(0.634957\pi\) | |||||||
\(54\) | −9.39173 | + | 9.65209i | −1.27805 | + | 1.31348i | ||||
\(55\) | 10.0282 | + | 3.64997i | 1.35220 | + | 0.492162i | ||||
\(56\) | −10.7381 | + | 18.5990i | −1.43494 | + | 2.48540i | ||||
\(57\) | 0.386850 | − | 7.53992i | 0.0512395 | − | 0.998686i | ||||
\(58\) | 4.00116 | + | 6.93022i | 0.525379 | + | 0.909982i | ||||
\(59\) | −0.194589 | − | 1.10357i | −0.0253333 | − | 0.143672i | 0.969518 | − | 0.245022i | \(-0.0787951\pi\) |
−0.994851 | + | 0.101349i | \(0.967684\pi\) | |||||||
\(60\) | 0.855795 | + | 25.4259i | 0.110483 | + | 3.28246i | ||||
\(61\) | −1.80227 | + | 0.655973i | −0.230757 | + | 0.0839888i | −0.454811 | − | 0.890588i | \(-0.650293\pi\) |
0.224054 | + | 0.974577i | \(0.428071\pi\) | |||||||
\(62\) | −1.32282 | − | 1.57648i | −0.167999 | − | 0.200213i | ||||
\(63\) | 9.12764 | − | 0.615141i | 1.14997 | − | 0.0775005i | ||||
\(64\) | −2.54660 | + | 4.41084i | −0.318325 | + | 0.551354i | ||||
\(65\) | −7.86842 | −0.975958 | ||||||||
\(66\) | 4.77303 | − | 14.6271i | 0.587519 | − | 1.80047i | ||||
\(67\) | −0.412278 | + | 0.491334i | −0.0503678 | + | 0.0600260i | −0.790640 | − | 0.612281i | \(-0.790252\pi\) |
0.740272 | + | 0.672307i | \(0.234697\pi\) | |||||||
\(68\) | 21.4161 | + | 12.3646i | 2.59708 | + | 1.49943i | ||||
\(69\) | 1.94635 | + | 4.83494i | 0.234313 | + | 0.582058i | ||||
\(70\) | 15.8180 | − | 18.8512i | 1.89062 | − | 2.25315i | ||||
\(71\) | −5.62967 | + | 4.72386i | −0.668119 | + | 0.560619i | −0.912508 | − | 0.409059i | \(-0.865857\pi\) |
0.244389 | + | 0.969677i | \(0.421413\pi\) | |||||||
\(72\) | 21.0802 | − | 1.42066i | 2.48433 | − | 0.167427i | ||||
\(73\) | 0.808108 | + | 4.58301i | 0.0945819 | + | 0.536401i | 0.994875 | + | 0.101116i | \(0.0322413\pi\) |
−0.900293 | + | 0.435285i | \(0.856648\pi\) | |||||||
\(74\) | −11.6955 | − | 13.9382i | −1.35958 | − | 1.62028i | ||||
\(75\) | 1.14182 | − | 8.05081i | 0.131846 | − | 0.929627i | ||||
\(76\) | −14.5054 | + | 14.5740i | −1.66388 | + | 1.67175i | ||||
\(77\) | −9.05156 | + | 5.22592i | −1.03152 | + | 0.595549i | ||||
\(78\) | 0.381617 | + | 11.3379i | 0.0432096 | + | 1.28377i | ||||
\(79\) | −2.33565 | + | 6.41714i | −0.262781 | + | 0.721985i | 0.736196 | + | 0.676768i | \(0.236620\pi\) |
−0.998977 | + | 0.0452165i | \(0.985602\pi\) | |||||||
\(80\) | 17.6492 | − | 21.0335i | 1.97324 | − | 2.35162i | ||||
\(81\) | −5.50511 | − | 7.11995i | −0.611679 | − | 0.791106i | ||||
\(82\) | 2.42390 | − | 13.7466i | 0.267675 | − | 1.51806i | ||||
\(83\) | −1.59043 | + | 0.918238i | −0.174573 | + | 0.100790i | −0.584740 | − | 0.811221i | \(-0.698804\pi\) |
0.410167 | + | 0.912010i | \(0.365470\pi\) | |||||||
\(84\) | −19.6147 | − | 15.3645i | −2.14013 | − | 1.67641i | ||||
\(85\) | −12.5036 | − | 10.4918i | −1.35621 | − | 1.13799i | ||||
\(86\) | −3.79048 | − | 3.18059i | −0.408737 | − | 0.342971i | ||||
\(87\) | −4.96096 | + | 1.99709i | −0.531871 | + | 0.214110i | ||||
\(88\) | −20.9045 | + | 12.0692i | −2.22843 | + | 1.28658i | ||||
\(89\) | 2.03020 | − | 11.5138i | 0.215201 | − | 1.22046i | −0.665358 | − | 0.746525i | \(-0.731721\pi\) |
0.880558 | − | 0.473938i | \(-0.157168\pi\) | |||||||
\(90\) | −24.0704 | − | 2.59129i | −2.53724 | − | 0.273145i | ||||
\(91\) | 4.95348 | − | 5.90333i | 0.519266 | − | 0.618837i | ||||
\(92\) | 4.85501 | − | 13.3390i | 0.506170 | − | 1.39069i | ||||
\(93\) | 1.16724 | − | 0.727326i | 0.121037 | − | 0.0754202i | ||||
\(94\) | 29.2793 | − | 16.9044i | 3.01993 | − | 1.74355i | ||||
\(95\) | 11.0991 | − | 7.81076i | 1.13874 | − | 0.801368i | ||||
\(96\) | −11.9582 | − | 9.36710i | −1.22048 | − | 0.956026i | ||||
\(97\) | −9.52510 | − | 11.3516i | −0.967127 | − | 1.15258i | −0.988257 | − | 0.152801i | \(-0.951171\pi\) |
0.0211298 | − | 0.999777i | \(-0.493274\pi\) | |||||||
\(98\) | 1.03475 | + | 5.86834i | 0.104525 | + | 0.592791i | ||||
\(99\) | 9.23033 | + | 4.53078i | 0.927683 | + | 0.455361i | ||||
\(100\) | −16.9649 | + | 14.2353i | −1.69649 | + | 1.42353i | ||||
\(101\) | −8.87600 | + | 10.5780i | −0.883195 | + | 1.05255i | 0.115052 | + | 0.993359i | \(0.463297\pi\) |
−0.998247 | + | 0.0591910i | \(0.981148\pi\) | |||||||
\(102\) | −14.5116 | + | 18.5258i | −1.43686 | + | 1.83433i | ||||
\(103\) | −8.42013 | − | 4.86136i | −0.829660 | − | 0.479004i | 0.0240764 | − | 0.999710i | \(-0.492336\pi\) |
−0.853736 | + | 0.520706i | \(0.825669\pi\) | |||||||
\(104\) | 11.4400 | − | 13.6337i | 1.12179 | − | 1.33689i | ||||
\(105\) | 10.9888 | + | 12.2353i | 1.07240 | + | 1.19404i | ||||
\(106\) | 10.2165 | 0.992311 | ||||||||
\(107\) | 0.465034 | − | 0.805463i | 0.0449565 | − | 0.0778670i | −0.842672 | − | 0.538428i | \(-0.819018\pi\) |
0.887628 | + | 0.460561i | \(0.152352\pi\) | |||||||
\(108\) | −1.80234 | + | 24.4455i | −0.173431 | + | 2.35227i | ||||
\(109\) | 7.80746 | + | 9.30457i | 0.747819 | + | 0.891216i | 0.997013 | − | 0.0772376i | \(-0.0246100\pi\) |
−0.249194 | + | 0.968454i | \(0.580166\pi\) | |||||||
\(110\) | 25.9909 | − | 9.45991i | 2.47814 | − | 0.901967i | ||||
\(111\) | 10.3199 | − | 6.43054i | 0.979526 | − | 0.610360i | ||||
\(112\) | 4.66964 | + | 26.4828i | 0.441239 | + | 2.50239i | ||||
\(113\) | 1.89033 | + | 3.27415i | 0.177827 | + | 0.308006i | 0.941136 | − | 0.338028i | \(-0.109760\pi\) |
−0.763309 | + | 0.646034i | \(0.776426\pi\) | |||||||
\(114\) | −11.7932 | − | 15.6144i | −1.10453 | − | 1.46242i | ||||
\(115\) | −4.68468 | + | 8.11410i | −0.436848 | + | 0.756643i | ||||
\(116\) | 13.6867 | + | 4.98156i | 1.27078 | + | 0.462526i | ||||
\(117\) | −7.53773 | − | 0.811471i | −0.696863 | − | 0.0750205i | ||||
\(118\) | −2.22485 | − | 1.86687i | −0.204814 | − | 0.171859i | ||||
\(119\) | 15.7430 | − | 2.77592i | 1.44316 | − | 0.254468i | ||||
\(120\) | 25.3785 | + | 28.2573i | 2.31673 | + | 2.57953i | ||||
\(121\) | −0.747440 | −0.0679491 | ||||||||
\(122\) | −2.48544 | + | 4.30490i | −0.225021 | + | 0.389747i | ||||
\(123\) | 8.86820 | + | 2.89382i | 0.799618 | + | 0.260927i | ||||
\(124\) | −3.68878 | − | 0.650431i | −0.331262 | − | 0.0584105i | ||||
\(125\) | −0.823369 | + | 0.475372i | −0.0736443 | + | 0.0425186i | ||||
\(126\) | 17.0974 | − | 16.4276i | 1.52316 | − | 1.46349i | ||||
\(127\) | −0.789992 | − | 0.139297i | −0.0701005 | − | 0.0123606i | 0.138488 | − | 0.990364i | \(-0.455776\pi\) |
−0.208588 | + | 0.978004i | \(0.566887\pi\) | |||||||
\(128\) | −0.753580 | − | 4.27376i | −0.0666077 | − | 0.377751i | ||||
\(129\) | 2.46019 | − | 2.20955i | 0.216607 | − | 0.194540i | ||||
\(130\) | −15.6221 | + | 13.1085i | −1.37015 | + | 1.14969i | ||||
\(131\) | −16.9135 | + | 2.98231i | −1.47774 | + | 0.260566i | −0.853675 | − | 0.520806i | \(-0.825632\pi\) |
−0.624066 | + | 0.781371i | \(0.714520\pi\) | |||||||
\(132\) | −10.4579 | − | 25.9785i | −0.910244 | − | 2.26114i | ||||
\(133\) | −1.12726 | + | 13.2444i | −0.0977456 | + | 1.14843i | ||||
\(134\) | 1.66234i | 0.143604i | ||||||||
\(135\) | 3.97337 | − | 15.6834i | 0.341973 | − | 1.34981i | ||||
\(136\) | 36.3583 | − | 6.41096i | 3.11770 | − | 0.549735i | ||||
\(137\) | 1.11713 | + | 3.06929i | 0.0954428 | + | 0.262227i | 0.978222 | − | 0.207561i | \(-0.0665526\pi\) |
−0.882779 | + | 0.469788i | \(0.844330\pi\) | |||||||
\(138\) | 11.9191 | + | 6.35681i | 1.01463 | + | 0.541128i | ||||
\(139\) | −15.7878 | + | 5.74629i | −1.33910 | + | 0.487394i | −0.909530 | − | 0.415638i | \(-0.863559\pi\) |
−0.429574 | + | 0.903032i | \(0.641336\pi\) | |||||||
\(140\) | − | 44.7901i | − | 3.78546i | ||||||
\(141\) | 8.43743 | + | 20.9594i | 0.710559 | + | 1.76510i | ||||
\(142\) | −3.30748 | + | 18.7576i | −0.277558 | + | 1.57411i | ||||
\(143\) | 8.13915 | − | 2.96241i | 0.680630 | − | 0.247729i | ||||
\(144\) | 19.0766 | − | 18.3293i | 1.58972 | − | 1.52745i | ||||
\(145\) | −8.32559 | − | 4.80678i | −0.691403 | − | 0.399182i | ||||
\(146\) | 9.23956 | + | 7.75291i | 0.764671 | + | 0.641635i | ||||
\(147\) | −3.97998 | + | 0.133960i | −0.328263 | + | 0.0110488i | ||||
\(148\) | −32.6138 | − | 5.75069i | −2.68083 | − | 0.472704i | ||||
\(149\) | −1.77882 | − | 2.11991i | −0.145727 | − | 0.173670i | 0.688244 | − | 0.725480i | \(-0.258382\pi\) |
−0.833970 | + | 0.551809i | \(0.813938\pi\) | |||||||
\(150\) | −11.1454 | − | 17.8864i | −0.910014 | − | 1.46042i | ||||
\(151\) | 18.1509 | + | 10.4794i | 1.47710 | + | 0.852802i | 0.999665 | − | 0.0258672i | \(-0.00823469\pi\) |
0.477431 | + | 0.878669i | \(0.341568\pi\) | |||||||
\(152\) | −2.60339 | + | 30.5877i | −0.211163 | + | 2.48099i | ||||
\(153\) | −10.8961 | − | 11.3403i | −0.880896 | − | 0.916810i | ||||
\(154\) | −9.26494 | + | 25.4552i | −0.746590 | + | 2.05124i | ||||
\(155\) | 2.32321 | + | 0.845579i | 0.186605 | + | 0.0679185i | ||||
\(156\) | 13.7968 | + | 15.3618i | 1.10463 | + | 1.22993i | ||||
\(157\) | 11.4026 | + | 4.15020i | 0.910026 | + | 0.331222i | 0.754263 | − | 0.656572i | \(-0.227994\pi\) |
0.155763 | + | 0.987795i | \(0.450217\pi\) | |||||||
\(158\) | 6.05348 | + | 16.6318i | 0.481589 | + | 1.32316i | ||||
\(159\) | −0.958733 | + | 6.75988i | −0.0760325 | + | 0.536094i | ||||
\(160\) | − | 27.3067i | − | 2.15878i | ||||||
\(161\) | −3.13846 | − | 8.62285i | −0.247345 | − | 0.679576i | ||||
\(162\) | −22.7915 | − | 4.96476i | −1.79067 | − | 0.390068i | ||||
\(163\) | −9.42180 | − | 16.3190i | −0.737972 | − | 1.27821i | −0.953407 | − | 0.301687i | \(-0.902450\pi\) |
0.215435 | − | 0.976518i | \(-0.430883\pi\) | |||||||
\(164\) | −12.7032 | − | 22.0025i | −0.991949 | − | 1.71811i | ||||
\(165\) | 3.82026 | + | 18.0850i | 0.297407 | + | 1.40792i | ||||
\(166\) | −1.62793 | + | 4.47269i | −0.126352 | + | 0.347148i | ||||
\(167\) | −2.22563 | + | 12.6222i | −0.172224 | + | 0.976733i | 0.769075 | + | 0.639159i | \(0.220717\pi\) |
−0.941299 | + | 0.337574i | \(0.890394\pi\) | |||||||
\(168\) | −37.1770 | + | 1.25132i | −2.86827 | + | 0.0965413i | ||||
\(169\) | 5.06646 | − | 4.25126i | 0.389728 | − | 0.327020i | ||||
\(170\) | −42.3037 | −3.24455 | ||||||||
\(171\) | 11.4382 | − | 6.33785i | 0.874699 | − | 0.484667i | ||||
\(172\) | −9.00610 | −0.686709 | ||||||||
\(173\) | −19.0859 | + | 16.0149i | −1.45107 | + | 1.21759i | −0.519278 | + | 0.854605i | \(0.673799\pi\) |
−0.931794 | + | 0.362989i | \(0.881756\pi\) | |||||||
\(174\) | −6.52251 | + | 12.2298i | −0.494470 | + | 0.927141i | ||||
\(175\) | −2.48596 | + | 14.0986i | −0.187921 | + | 1.06575i | ||||
\(176\) | −10.3375 | + | 28.4020i | −0.779217 | + | 2.14088i | ||||
\(177\) | 1.44402 | − | 1.29691i | 0.108540 | − | 0.0974819i | ||||
\(178\) | −15.1508 | − | 26.2420i | −1.13560 | − | 1.96692i | ||||
\(179\) | −1.94730 | − | 3.37283i | −0.145548 | − | 0.252097i | 0.784029 | − | 0.620724i | \(-0.213161\pi\) |
−0.929577 | + | 0.368627i | \(0.879828\pi\) | |||||||
\(180\) | −36.5926 | + | 24.5480i | −2.72745 | + | 1.82970i | ||||
\(181\) | −3.86632 | − | 10.6226i | −0.287382 | − | 0.789575i | −0.996431 | − | 0.0844154i | \(-0.973098\pi\) |
0.709049 | − | 0.705159i | \(-0.249124\pi\) | |||||||
\(182\) | − | 19.9729i | − | 1.48049i | ||||||
\(183\) | −2.61516 | − | 2.04851i | −0.193318 | − | 0.151430i | ||||
\(184\) | −7.24825 | − | 19.9144i | −0.534348 | − | 1.46811i | ||||
\(185\) | 20.5403 | + | 7.47605i | 1.51015 | + | 0.549650i | ||||
\(186\) | 1.10575 | − | 3.38862i | 0.0810779 | − | 0.248466i | ||||
\(187\) | 16.8839 | + | 6.14523i | 1.23467 | + | 0.449384i | ||||
\(188\) | 21.0464 | − | 57.8246i | 1.53497 | − | 4.21729i | ||||
\(189\) | 9.26514 | + | 12.8543i | 0.673940 | + | 0.935016i | ||||
\(190\) | 9.02393 | − | 33.9983i | 0.654665 | − | 2.46650i | ||||
\(191\) | 2.71951 | + | 1.57011i | 0.196777 | + | 0.113609i | 0.595151 | − | 0.803614i | \(-0.297092\pi\) |
−0.398375 | + | 0.917223i | \(0.630426\pi\) | |||||||
\(192\) | −8.81668 | + | 0.296756i | −0.636289 | + | 0.0214165i | ||||
\(193\) | 9.45903 | + | 11.2728i | 0.680876 | + | 0.811436i | 0.990220 | − | 0.139514i | \(-0.0445540\pi\) |
−0.309344 | + | 0.950950i | \(0.600110\pi\) | |||||||
\(194\) | −37.8226 | − | 6.66914i | −2.71550 | − | 0.478817i | ||||
\(195\) | −7.20743 | − | 11.5667i | −0.516135 | − | 0.828310i | ||||
\(196\) | 8.30834 | + | 6.97153i | 0.593453 | + | 0.497966i | ||||
\(197\) | 7.47294 | + | 4.31450i | 0.532425 | + | 0.307396i | 0.742003 | − | 0.670396i | \(-0.233876\pi\) |
−0.209579 | + | 0.977792i | \(0.567209\pi\) | |||||||
\(198\) | 25.8742 | − | 6.38190i | 1.83880 | − | 0.453542i | ||||
\(199\) | 16.7532 | − | 6.09765i | 1.18760 | − | 0.432251i | 0.328720 | − | 0.944428i | \(-0.393383\pi\) |
0.858880 | + | 0.512177i | \(0.171161\pi\) | |||||||
\(200\) | −5.74131 | + | 32.5606i | −0.405972 | + | 2.30238i | ||||
\(201\) | −1.09991 | − | 0.155997i | −0.0775819 | − | 0.0110032i | ||||
\(202\) | 35.7888i | 2.51809i | ||||||||
\(203\) | 8.84760 | − | 3.22026i | 0.620980 | − | 0.226018i | ||||
\(204\) | 1.44085 | + | 42.8079i | 0.100880 | + | 2.99716i | ||||
\(205\) | 5.73541 | + | 15.7579i | 0.400578 | + | 1.10058i | ||||
\(206\) | −24.8163 | + | 4.37579i | −1.72903 | + | 0.304875i | ||||
\(207\) | −5.32460 | + | 7.28995i | −0.370085 | + | 0.506687i | ||||
\(208\) | − | 22.2850i | − | 1.54519i | ||||||
\(209\) | −8.54030 | + | 12.2582i | −0.590745 | + | 0.847921i | ||||
\(210\) | 42.2009 | + | 5.98522i | 2.91214 | + | 0.413019i | ||||
\(211\) | 1.03505 | − | 0.182508i | 0.0712559 | − | 0.0125643i | −0.137907 | − | 0.990445i | \(-0.544037\pi\) |
0.209162 | + | 0.977881i | \(0.432926\pi\) | |||||||
\(212\) | 14.2447 | − | 11.9527i | 0.978327 | − | 0.820914i | ||||
\(213\) | −12.1009 | − | 3.94870i | −0.829140 | − | 0.270560i | ||||
\(214\) | −0.418584 | − | 2.37391i | −0.0286138 | − | 0.162277i | ||||
\(215\) | 5.85409 | + | 1.03223i | 0.399246 | + | 0.0703978i | ||||
\(216\) | 21.3978 | + | 29.6870i | 1.45593 | + | 2.01994i | ||||
\(217\) | −2.09695 | + | 1.21068i | −0.142350 | + | 0.0821860i | ||||
\(218\) | 31.0021 | + | 5.46651i | 2.09973 | + | 0.370239i | ||||
\(219\) | −5.99689 | + | 5.38595i | −0.405232 | + | 0.363948i | ||||
\(220\) | 25.1711 | − | 43.5977i | 1.69704 | − | 2.93935i | ||||
\(221\) | −13.2476 | −0.891128 | ||||||||
\(222\) | 9.77636 | − | 29.9599i | 0.656146 | − | 2.01078i | ||||
\(223\) | 8.86131 | − | 1.56249i | 0.593397 | − | 0.104632i | 0.131119 | − | 0.991367i | \(-0.458143\pi\) |
0.462279 | + | 0.886735i | \(0.347032\pi\) | |||||||
\(224\) | 20.4870 | + | 17.1906i | 1.36884 | + | 1.14860i | ||||
\(225\) | 12.8807 | − | 5.69600i | 0.858716 | − | 0.379733i | ||||
\(226\) | 9.20770 | + | 3.35133i | 0.612487 | + | 0.222927i | ||||
\(227\) | −1.16058 | + | 2.01018i | −0.0770303 | + | 0.133420i | −0.901967 | − | 0.431804i | \(-0.857877\pi\) |
0.824937 | + | 0.565225i | \(0.191210\pi\) | |||||||
\(228\) | −34.7109 | − | 7.97351i | −2.29879 | − | 0.528059i | ||||
\(229\) | 0.134472 | + | 0.232913i | 0.00888618 | + | 0.0153913i | 0.870434 | − | 0.492285i | \(-0.163838\pi\) |
−0.861548 | + | 0.507676i | \(0.830505\pi\) | |||||||
\(230\) | 4.21675 | + | 23.9144i | 0.278044 | + | 1.57687i | ||||
\(231\) | −15.9734 | − | 8.51905i | −1.05097 | − | 0.560512i | ||||
\(232\) | 20.4335 | − | 7.43717i | 1.34152 | − | 0.488274i | ||||
\(233\) | −10.8217 | − | 12.8968i | −0.708955 | − | 0.844899i | 0.284554 | − | 0.958660i | \(-0.408155\pi\) |
−0.993508 | + | 0.113761i | \(0.963710\pi\) | |||||||
\(234\) | −16.3174 | + | 10.9465i | −1.06670 | + | 0.715593i | ||||
\(235\) | −20.3080 | + | 35.1745i | −1.32475 | + | 2.29453i | ||||
\(236\) | −5.28619 | −0.344102 | ||||||||
\(237\) | −11.5728 | + | 2.44462i | −0.751731 | + | 0.158795i | ||||
\(238\) | 26.6319 | − | 31.7386i | 1.72629 | − | 2.05731i | ||||
\(239\) | −20.4969 | − | 11.8339i | −1.32583 | − | 0.765471i | −0.341182 | − | 0.939997i | \(-0.610827\pi\) |
−0.984653 | + | 0.174526i | \(0.944161\pi\) | |||||||
\(240\) | 47.0862 | + | 6.67808i | 3.03940 | + | 0.431068i | ||||
\(241\) | −10.6959 | + | 12.7468i | −0.688981 | + | 0.821095i | −0.991232 | − | 0.132133i | \(-0.957817\pi\) |
0.302251 | + | 0.953228i | \(0.402262\pi\) | |||||||
\(242\) | −1.48398 | + | 1.24521i | −0.0953938 | + | 0.0800449i | ||||
\(243\) | 5.42381 | − | 14.6145i | 0.347937 | − | 0.937518i | ||||
\(244\) | 1.57108 | + | 8.91007i | 0.100578 | + | 0.570408i | ||||
\(245\) | −4.60150 | − | 5.48385i | −0.293979 | − | 0.350350i | ||||
\(246\) | 22.4281 | − | 9.02865i | 1.42996 | − | 0.575646i | ||||
\(247\) | 2.82588 | − | 10.6467i | 0.179806 | − | 0.677434i | ||||
\(248\) | −4.84289 | + | 2.79605i | −0.307524 | + | 0.177549i | ||||
\(249\) | −2.80666 | − | 1.49687i | −0.177865 | − | 0.0948601i | ||||
\(250\) | −0.842778 | + | 2.31551i | −0.0533020 | + | 0.146446i | ||||
\(251\) | 12.3791 | − | 14.7528i | 0.781362 | − | 0.931191i | −0.217632 | − | 0.976031i | \(-0.569833\pi\) |
0.998994 | + | 0.0448395i | \(0.0142776\pi\) | |||||||
\(252\) | 4.61921 | − | 42.9077i | 0.290983 | − | 2.70293i | ||||
\(253\) | 1.79096 | − | 10.1570i | 0.112597 | − | 0.638567i | ||||
\(254\) | −1.80053 | + | 1.03954i | −0.112975 | + | 0.0652262i | ||||
\(255\) | 3.96986 | − | 27.9909i | 0.248602 | − | 1.75286i | ||||
\(256\) | −16.4193 | − | 13.7775i | −1.02621 | − | 0.861091i | ||||
\(257\) | 4.11404 | + | 3.45209i | 0.256627 | + | 0.215336i | 0.762020 | − | 0.647554i | \(-0.224208\pi\) |
−0.505393 | + | 0.862889i | \(0.668652\pi\) | |||||||
\(258\) | 1.20347 | − | 8.48547i | 0.0749246 | − | 0.528282i | ||||
\(259\) | −18.5399 | + | 10.7040i | −1.15201 | + | 0.665114i | ||||
\(260\) | −6.44544 | + | 36.5539i | −0.399729 | + | 2.26698i | ||||
\(261\) | −7.47996 | − | 5.46338i | −0.462998 | − | 0.338175i | ||||
\(262\) | −28.6120 | + | 34.0984i | −1.76765 | + | 2.10661i | ||||
\(263\) | 6.84717 | − | 18.8124i | 0.422215 | − | 1.16003i | −0.528222 | − | 0.849106i | \(-0.677141\pi\) |
0.950436 | − | 0.310919i | \(-0.100637\pi\) | |||||||
\(264\) | −36.8904 | − | 19.6747i | −2.27045 | − | 1.21089i | ||||
\(265\) | −10.6292 | + | 6.13676i | −0.652945 | + | 0.376978i | ||||
\(266\) | 19.8265 | + | 28.1735i | 1.21564 | + | 1.72743i | ||||
\(267\) | 18.7852 | − | 7.56217i | 1.14963 | − | 0.462797i | ||||
\(268\) | 1.94484 | + | 2.31778i | 0.118800 | + | 0.141581i | ||||
\(269\) | 3.88108 | + | 22.0107i | 0.236633 | + | 1.34202i | 0.839146 | + | 0.543906i | \(0.183055\pi\) |
−0.602513 | + | 0.798109i | \(0.705834\pi\) | |||||||
\(270\) | −18.2391 | − | 37.7575i | −1.11000 | − | 2.29785i | ||||
\(271\) | 11.7304 | − | 9.84300i | 0.712573 | − | 0.597920i | −0.212747 | − | 0.977107i | \(-0.568241\pi\) |
0.925320 | + | 0.379188i | \(0.123797\pi\) | |||||||
\(272\) | 29.7149 | − | 35.4128i | 1.80173 | − | 2.14722i | ||||
\(273\) | 13.2154 | + | 1.87429i | 0.799830 | + | 0.113437i | ||||
\(274\) | 7.33129 | + | 4.23272i | 0.442899 | + | 0.255708i | ||||
\(275\) | −10.3429 | + | 12.3262i | −0.623700 | + | 0.743297i | ||||
\(276\) | 24.0558 | − | 5.08152i | 1.44799 | − | 0.305872i | ||||
\(277\) | 14.4462 | 0.867990 | 0.433995 | − | 0.900915i | \(-0.357104\pi\) | ||||
0.433995 | + | 0.900915i | \(0.357104\pi\) | |||||||
\(278\) | −21.7723 | + | 37.7107i | −1.30581 | + | 2.26174i | ||||
\(279\) | 2.13837 | + | 1.04963i | 0.128021 | + | 0.0628399i | ||||
\(280\) | −42.9826 | − | 51.2247i | −2.56870 | − | 3.06126i | ||||
\(281\) | −9.69609 | + | 3.52909i | −0.578420 | + | 0.210528i | −0.614629 | − | 0.788817i | \(-0.710694\pi\) |
0.0362087 | + | 0.999344i | \(0.488472\pi\) | |||||||
\(282\) | 51.6694 | + | 27.5567i | 3.07687 | + | 1.64098i | ||||
\(283\) | −1.73085 | − | 9.81613i | −0.102888 | − | 0.583508i | −0.992043 | − | 0.125901i | \(-0.959818\pi\) |
0.889155 | − | 0.457607i | \(-0.151293\pi\) | |||||||
\(284\) | 17.3338 | + | 30.0230i | 1.02857 | + | 1.78154i | ||||
\(285\) | 21.6487 | + | 9.16129i | 1.28236 | + | 0.542668i | ||||
\(286\) | 11.2243 | − | 19.4411i | 0.663709 | − | 1.14958i | ||||
\(287\) | −15.4331 | − | 5.61720i | −0.910988 | − | 0.331573i | ||||
\(288\) | 2.81614 | − | 26.1590i | 0.165943 | − | 1.54144i | ||||
\(289\) | −8.02877 | − | 6.73694i | −0.472280 | − | 0.396290i | ||||
\(290\) | −24.5377 | + | 4.32666i | −1.44090 | + | 0.254070i | ||||
\(291\) | 7.96208 | − | 24.4000i | 0.466746 | − | 1.43036i | ||||
\(292\) | 21.9530 | 1.28470 | ||||||||
\(293\) | 15.0205 | − | 26.0162i | 0.877506 | − | 1.51989i | 0.0234370 | − | 0.999725i | \(-0.492539\pi\) |
0.854069 | − | 0.520160i | \(-0.174128\pi\) | |||||||
\(294\) | −7.67874 | + | 6.89646i | −0.447833 | + | 0.402210i | ||||
\(295\) | 3.43610 | + | 0.605877i | 0.200057 | + | 0.0352755i | ||||
\(296\) | −42.8177 | + | 24.7208i | −2.48873 | + | 1.43687i | ||||
\(297\) | 1.79460 | + | 17.7189i | 0.104133 | + | 1.02816i | ||||
\(298\) | −7.06340 | − | 1.24547i | −0.409172 | − | 0.0721480i | ||||
\(299\) | 1.32049 | + | 7.48887i | 0.0763659 | + | 0.433093i | ||||
\(300\) | −36.4659 | − | 11.8993i | −2.10536 | − | 0.687009i | ||||
\(301\) | −4.45982 | + | 3.74223i | −0.257060 | + | 0.215699i | ||||
\(302\) | 53.4953 | − | 9.43267i | 3.07831 | − | 0.542789i | ||||
\(303\) | −23.6802 | − | 3.35849i | −1.36039 | − | 0.192940i | ||||
\(304\) | 22.1217 | + | 31.4350i | 1.26877 | + | 1.80292i | ||||
\(305\) | − | 5.97174i | − | 0.341941i | ||||||
\(306\) | −40.5258 | − | 4.36279i | −2.31671 | − | 0.249404i | ||||
\(307\) | 5.31850 | − | 0.937796i | 0.303543 | − | 0.0535228i | −0.0198021 | − | 0.999804i | \(-0.506304\pi\) |
0.323345 | + | 0.946281i | \(0.395193\pi\) | |||||||
\(308\) | 16.8632 | + | 46.3312i | 0.960869 | + | 2.63997i | ||||
\(309\) | −0.566496 | − | 16.8307i | −0.0322268 | − | 0.957466i | ||||
\(310\) | 6.02124 | − | 2.19155i | 0.341984 | − | 0.124472i | ||||
\(311\) | − | 11.4051i | − | 0.646725i | −0.946275 | − | 0.323363i | \(-0.895187\pi\) | ||
0.946275 | − | 0.323363i | \(-0.104813\pi\) | |||||||
\(312\) | 30.5208 | + | 4.32866i | 1.72790 | + | 0.245062i | ||||
\(313\) | 5.20232 | − | 29.5038i | 0.294053 | − | 1.66766i | −0.376975 | − | 0.926223i | \(-0.623036\pi\) |
0.671028 | − | 0.741432i | \(-0.265853\pi\) | |||||||
\(314\) | 29.5530 | − | 10.7564i | 1.66777 | − | 0.607019i | ||||
\(315\) | −7.92042 | + | 27.3612i | −0.446265 | + | 1.54163i | ||||
\(316\) | 27.8985 | + | 16.1072i | 1.56941 | + | 0.906102i | ||||
\(317\) | −2.32211 | − | 1.94848i | −0.130422 | − | 0.109437i | 0.575243 | − | 0.817982i | \(-0.304907\pi\) |
−0.705666 | + | 0.708545i | \(0.749352\pi\) | |||||||
\(318\) | 9.35823 | + | 15.0184i | 0.524784 | + | 0.842190i | ||||
\(319\) | 10.4218 | + | 1.83764i | 0.583507 | + | 0.102888i | ||||
\(320\) | −10.1935 | − | 12.1482i | −0.569835 | − | 0.679102i | ||||
\(321\) | 1.61001 | − | 0.0541905i | 0.0898622 | − | 0.00302462i | ||||
\(322\) | −20.5965 | − | 11.8914i | −1.14780 | − | 0.662681i | ||||
\(323\) | 18.6869 | − | 13.1505i | 1.03977 | − | 0.731713i | ||||
\(324\) | −37.5863 | + | 19.7425i | −2.08813 | + | 1.09681i | ||||
\(325\) | 4.05767 | − | 11.1483i | 0.225079 | − | 0.618399i | ||||
\(326\) | −45.8931 | − | 16.7037i | −2.54178 | − | 0.925134i | ||||
\(327\) | −6.52630 | + | 20.0000i | −0.360905 | + | 1.10601i | ||||
\(328\) | −35.6427 | − | 12.9729i | −1.96804 | − | 0.716307i | ||||
\(329\) | −13.6052 | − | 37.3800i | −0.750079 | − | 2.06082i | ||||
\(330\) | 37.7138 | + | 29.5419i | 2.07607 | + | 1.62623i | ||||
\(331\) | 21.4843i | 1.18088i | 0.807080 | + | 0.590442i | \(0.201046\pi\) | ||||
−0.807080 | + | 0.590442i | \(0.798954\pi\) | |||||||
\(332\) | 2.96300 | + | 8.14078i | 0.162616 | + | 0.446783i | ||||
\(333\) | 18.9060 | + | 9.28017i | 1.03604 | + | 0.508550i | ||||
\(334\) | 16.6093 | + | 28.7681i | 0.908818 | + | 1.57412i | ||||
\(335\) | −0.998524 | − | 1.72949i | −0.0545552 | − | 0.0944924i | ||||
\(336\) | −34.6529 | + | 31.1226i | −1.89047 | + | 1.69787i | ||||
\(337\) | 7.31787 | − | 20.1057i | 0.398630 | − | 1.09523i | −0.564323 | − | 0.825554i | \(-0.690863\pi\) |
0.962952 | − | 0.269671i | \(-0.0869151\pi\) | |||||||
\(338\) | 2.97659 | − | 16.8811i | 0.161905 | − | 0.918209i | ||||
\(339\) | −3.08153 | + | 5.77792i | −0.167366 | + | 0.313814i | ||||
\(340\) | −58.9834 | + | 49.4929i | −3.19882 | + | 2.68413i | ||||
\(341\) | −2.72150 | −0.147377 | ||||||||
\(342\) | 12.1509 | − | 31.6388i | 0.657047 | − | 1.71083i | ||||
\(343\) | −14.3350 | −0.774019 | ||||||||
\(344\) | −10.2999 | + | 8.64265i | −0.555334 | + | 0.465981i | ||||
\(345\) | −16.2190 | + | 0.545906i | −0.873202 | + | 0.0293906i | ||||
\(346\) | −11.2131 | + | 63.5927i | −0.602821 | + | 3.41877i | ||||
\(347\) | 2.72226 | − | 7.47935i | 0.146139 | − | 0.401513i | −0.844928 | − | 0.534880i | \(-0.820357\pi\) |
0.991067 | + | 0.133367i | \(0.0425790\pi\) | |||||||
\(348\) | 5.21397 | + | 24.6828i | 0.279498 | + | 1.32314i | ||||
\(349\) | −13.7505 | − | 23.8165i | −0.736047 | − | 1.27487i | −0.954263 | − | 0.298970i | \(-0.903357\pi\) |
0.218216 | − | 0.975900i | \(-0.429976\pi\) | |||||||
\(350\) | 18.5521 | + | 32.1331i | 0.991650 | + | 1.71759i | ||||
\(351\) | −5.71164 | − | 11.8239i | −0.304865 | − | 0.631113i | ||||
\(352\) | 10.2808 | + | 28.2462i | 0.547967 | + | 1.50553i | ||||
\(353\) | 8.49237i | 0.452003i | 0.974127 | + | 0.226002i | \(0.0725654\pi\) | ||||
−0.974127 | + | 0.226002i | \(0.927435\pi\) | |||||||
\(354\) | 0.706383 | − | 4.98060i | 0.0375438 | − | 0.264716i | ||||
\(355\) | −7.82613 | − | 21.5021i | −0.415368 | − | 1.14121i | ||||
\(356\) | −51.8261 | − | 18.8632i | −2.74678 | − | 0.999746i | ||||
\(357\) | 18.5012 | + | 20.5998i | 0.979185 | + | 1.09026i | ||||
\(358\) | −9.48521 | − | 3.45233i | −0.501309 | − | 0.182462i | ||||
\(359\) | −10.3379 | + | 28.4032i | −0.545615 | + | 1.49907i | 0.293958 | + | 0.955818i | \(0.405027\pi\) |
−0.839573 | + | 0.543247i | \(0.817195\pi\) | |||||||
\(360\) | −18.2921 | + | 63.1904i | −0.964080 | + | 3.33043i | ||||
\(361\) | 6.58254 | + | 17.8233i | 0.346449 | + | 0.938069i | ||||
\(362\) | −25.3732 | − | 14.6492i | −1.33359 | − | 0.769946i | ||||
\(363\) | −0.684651 | − | 1.09875i | −0.0359348 | − | 0.0576694i | ||||
\(364\) | −23.3671 | − | 27.8479i | −1.22477 | − | 1.45962i | ||||
\(365\) | −14.2698 | − | 2.51615i | −0.746914 | − | 0.131701i | ||||
\(366\) | −8.60493 | + | 0.289628i | −0.449787 | + | 0.0151391i | ||||
\(367\) | 5.50400 | + | 4.61841i | 0.287307 | + | 0.241079i | 0.775038 | − | 0.631915i | \(-0.217731\pi\) |
−0.487731 | + | 0.872994i | \(0.662175\pi\) | |||||||
\(368\) | −22.9808 | − | 13.2680i | −1.19796 | − | 0.691641i | ||||
\(369\) | 3.86925 | + | 15.6871i | 0.201425 | + | 0.816639i | ||||
\(370\) | 53.2359 | − | 19.3763i | 2.76760 | − | 1.00732i | ||||
\(371\) | 2.08735 | − | 11.8379i | 0.108370 | − | 0.614595i | ||||
\(372\) | −2.42275 | − | 6.01837i | −0.125614 | − | 0.312038i | ||||
\(373\) | − | 11.1335i | − | 0.576472i | −0.957559 | − | 0.288236i | \(-0.906931\pi\) | ||
0.957559 | − | 0.288236i | \(-0.0930688\pi\) | |||||||
\(374\) | 43.7593 | − | 15.9271i | 2.26274 | − | 0.823569i | ||||
\(375\) | −1.45301 | − | 0.774929i | −0.0750330 | − | 0.0400172i | ||||
\(376\) | −31.4211 | − | 86.3287i | −1.62042 | − | 4.45206i | ||||
\(377\) | −7.68407 | + | 1.35491i | −0.395750 | + | 0.0697814i | ||||
\(378\) | 39.8100 | + | 10.0859i | 2.04761 | + | 0.518760i | ||||
\(379\) | 17.2308i | 0.885085i | 0.896747 | + | 0.442543i | \(0.145923\pi\) | ||||
−0.896747 | + | 0.442543i | \(0.854077\pi\) | |||||||
\(380\) | −27.1942 | − | 57.9608i | −1.39503 | − | 2.97333i | ||||
\(381\) | −0.518859 | − | 1.28890i | −0.0265820 | − | 0.0660323i | ||||
\(382\) | 8.01509 | − | 1.41328i | 0.410088 | − | 0.0723096i | ||||
\(383\) | −1.14387 | + | 0.959818i | −0.0584488 | + | 0.0490444i | −0.671544 | − | 0.740965i | \(-0.734369\pi\) |
0.613095 | + | 0.790009i | \(0.289924\pi\) | |||||||
\(384\) | 5.59224 | − | 5.02252i | 0.285378 | − | 0.256304i | ||||
\(385\) | −5.65105 | − | 32.0487i | −0.288004 | − | 1.63335i | ||||
\(386\) | 37.5602 | + | 6.62288i | 1.91177 | + | 0.337096i | ||||
\(387\) | 5.50160 | + | 1.59258i | 0.279662 | + | 0.0809556i | ||||
\(388\) | −60.5379 | + | 34.9516i | −3.07335 | + | 1.77440i | ||||
\(389\) | −0.561528 | − | 0.0990126i | −0.0284706 | − | 0.00502014i | 0.159395 | − | 0.987215i | \(-0.449046\pi\) |
−0.187865 | + | 0.982195i | \(0.560157\pi\) | |||||||
\(390\) | −33.5795 | − | 10.9575i | −1.70036 | − | 0.554853i | ||||
\(391\) | −7.88730 | + | 13.6612i | −0.398878 | + | 0.690877i | ||||
\(392\) | 16.1921 | 0.817825 | ||||||||
\(393\) | −19.8767 | − | 22.1314i | −1.00265 | − | 1.11638i | ||||
\(394\) | 22.0247 | − | 3.88355i | 1.10959 | − | 0.195650i | ||||
\(395\) | −16.2883 | − | 13.6675i | −0.819553 | − | 0.687687i | ||||
\(396\) | 28.6095 | − | 39.1695i | 1.43768 | − | 1.96834i | ||||
\(397\) | 21.8120 | + | 7.93890i | 1.09471 | + | 0.398442i | 0.825364 | − | 0.564601i | \(-0.190970\pi\) |
0.269347 | + | 0.963043i | \(0.413192\pi\) | |||||||
\(398\) | 23.1036 | − | 40.0165i | 1.15808 | − | 2.00585i | ||||
\(399\) | −20.5020 | + | 10.4747i | −1.02638 | + | 0.524389i | ||||
\(400\) | 20.6997 | + | 35.8530i | 1.03499 | + | 1.79265i | ||||
\(401\) | −0.833566 | − | 4.72739i | −0.0416263 | − | 0.236074i | 0.956895 | − | 0.290434i | \(-0.0937995\pi\) |
−0.998521 | + | 0.0543591i | \(0.982688\pi\) | |||||||
\(402\) | −2.44367 | + | 1.52270i | −0.121879 | + | 0.0759452i | ||||
\(403\) | 1.88557 | − | 0.686293i | 0.0939272 | − | 0.0341867i | ||||
\(404\) | 41.8709 | + | 49.8998i | 2.08315 | + | 2.48261i | ||||
\(405\) | 26.6944 | − | 8.52494i | 1.32646 | − | 0.423608i | ||||
\(406\) | 12.2013 | − | 21.1333i | 0.605543 | − | 1.04883i | ||||
\(407\) | −24.0617 | −1.19269 | ||||||||
\(408\) | 42.7283 | + | 47.5750i | 2.11536 | + | 2.35532i | ||||
\(409\) | −15.6632 | + | 18.6667i | −0.774497 | + | 0.923010i | −0.998671 | − | 0.0515396i | \(-0.983587\pi\) |
0.224174 | + | 0.974549i | \(0.428032\pi\) | |||||||
\(410\) | 37.6393 | + | 21.7310i | 1.85887 | + | 1.07322i | ||||
\(411\) | −3.48863 | + | 4.45365i | −0.172081 | + | 0.219682i | ||||
\(412\) | −29.4816 | + | 35.1348i | −1.45245 | + | 1.73096i | ||||
\(413\) | −2.61772 | + | 2.19653i | −0.128810 | + | 0.108084i | ||||
\(414\) | 1.57324 | + | 23.3442i | 0.0773205 | + | 1.14730i | ||||
\(415\) | −0.992937 | − | 5.63122i | −0.0487413 | − | 0.276426i | ||||
\(416\) | −14.2460 | − | 16.9777i | −0.698466 | − | 0.832399i | ||||
\(417\) | −22.9087 | − | 17.9448i | −1.12184 | − | 0.878761i | ||||
\(418\) | 3.46573 | + | 38.5656i | 0.169515 | + | 1.88630i | ||||
\(419\) | −15.4069 | + | 8.89520i | −0.752678 | + | 0.434559i | −0.826661 | − | 0.562700i | \(-0.809762\pi\) |
0.0739825 | + | 0.997260i | \(0.476429\pi\) | |||||||
\(420\) | 65.8423 | − | 41.0275i | 3.21278 | − | 2.00194i | ||||
\(421\) | 1.21029 | − | 3.32523i | 0.0589857 | − | 0.162062i | −0.906700 | − | 0.421777i | \(-0.861406\pi\) |
0.965685 | + | 0.259715i | \(0.0836287\pi\) | |||||||
\(422\) | 1.75096 | − | 2.08671i | 0.0852353 | − | 0.101580i | ||||
\(423\) | −23.0821 | + | 31.6019i | −1.12229 | + | 1.53654i | ||||
\(424\) | 4.82071 | − | 27.3396i | 0.234114 | − | 1.32773i | ||||
\(425\) | 21.3132 | − | 12.3052i | 1.03384 | − | 0.596889i | ||||
\(426\) | −30.6037 | + | 12.3198i | −1.48276 | + | 0.596898i | ||||
\(427\) | 4.48033 | + | 3.75944i | 0.216818 | + | 0.181932i | ||||
\(428\) | −3.36096 | − | 2.82018i | −0.162458 | − | 0.136319i | ||||
\(429\) | 11.8102 | + | 9.25115i | 0.570202 | + | 0.446650i | ||||
\(430\) | 13.3425 | − | 7.70328i | 0.643431 | − | 0.371485i | ||||
\(431\) | −3.46228 | + | 19.6356i | −0.166772 | + | 0.945813i | 0.780446 | + | 0.625223i | \(0.214992\pi\) |
−0.947218 | + | 0.320590i | \(0.896119\pi\) | |||||||
\(432\) | 44.4186 | + | 11.2534i | 2.13709 | + | 0.541430i | ||||
\(433\) | −5.66492 | + | 6.75119i | −0.272239 | + | 0.324442i | −0.884791 | − | 0.465989i | \(-0.845699\pi\) |
0.612552 | + | 0.790431i | \(0.290143\pi\) | |||||||
\(434\) | −2.14638 | + | 5.89714i | −0.103030 | + | 0.283072i | ||||
\(435\) | −0.560135 | − | 16.6418i | −0.0268564 | − | 0.797911i | ||||
\(436\) | 49.6213 | − | 28.6489i | 2.37643 | − | 1.37203i | ||||
\(437\) | −9.29667 | − | 9.25291i | −0.444720 | − | 0.442627i | ||||
\(438\) | −2.93354 | + | 20.6839i | −0.140170 | + | 0.988317i | ||||
\(439\) | 2.76157 | + | 3.29111i | 0.131803 | + | 0.157076i | 0.827909 | − | 0.560862i | \(-0.189530\pi\) |
−0.696106 | + | 0.717939i | \(0.745086\pi\) | |||||||
\(440\) | −13.0511 | − | 74.0162i | −0.622185 | − | 3.52859i | ||||
\(441\) | −3.84256 | − | 5.72793i | −0.182979 | − | 0.272759i | ||||
\(442\) | −26.3020 | + | 22.0700i | −1.25106 | + | 1.04976i | ||||
\(443\) | 14.8477 | − | 17.6948i | 0.705434 | − | 0.840704i | −0.287695 | − | 0.957722i | \(-0.592889\pi\) |
0.993130 | + | 0.117018i | \(0.0373335\pi\) | |||||||
\(444\) | −21.4204 | − | 53.2104i | −1.01657 | − | 2.52526i | ||||
\(445\) | 31.5257 | + | 18.2014i | 1.49446 | + | 0.862828i | ||||
\(446\) | 14.9904 | − | 17.8648i | 0.709814 | − | 0.845923i | ||||
\(447\) | 1.48692 | − | 4.55673i | 0.0703291 | − | 0.215526i | ||||
\(448\) | 15.5314 | 0.733791 | ||||||||
\(449\) | 2.64334 | − | 4.57841i | 0.124747 | − | 0.216068i | −0.796887 | − | 0.604128i | \(-0.793521\pi\) |
0.921634 | + | 0.388060i | \(0.126855\pi\) | |||||||
\(450\) | 16.0843 | − | 32.7678i | 0.758222 | − | 1.54469i | ||||
\(451\) | −11.8655 | − | 14.1407i | −0.558724 | − | 0.665861i | ||||
\(452\) | 16.7590 | − | 6.09978i | 0.788278 | − | 0.286910i | ||||
\(453\) | 1.22117 | + | 36.2812i | 0.0573755 | + | 1.70464i | ||||
\(454\) | 1.04465 | + | 5.92453i | 0.0490281 | + | 0.278052i | ||||
\(455\) | 11.9972 | + | 20.7797i | 0.562436 | + | 0.974168i | ||||
\(456\) | −47.3492 | + | 24.1912i | −2.21733 | + | 1.13285i | ||||
\(457\) | −2.11635 | + | 3.66563i | −0.0989988 | + | 0.171471i | −0.911271 | − | 0.411808i | \(-0.864897\pi\) |
0.812272 | + | 0.583279i | \(0.198231\pi\) | |||||||
\(458\) | 0.655008 | + | 0.238403i | 0.0306065 | + | 0.0111399i | ||||
\(459\) | 6.68972 | − | 26.4051i | 0.312249 | − | 1.23248i | ||||
\(460\) | 33.8578 | + | 28.4100i | 1.57863 | + | 1.32463i | ||||
\(461\) | 8.15109 | − | 1.43726i | 0.379634 | − | 0.0669397i | 0.0194249 | − | 0.999811i | \(-0.493816\pi\) |
0.360209 | + | 0.932872i | \(0.382705\pi\) | |||||||
\(462\) | −45.9063 | + | 9.69720i | −2.13575 | + | 0.451154i | ||||
\(463\) | 22.6191 | 1.05120 | 0.525600 | − | 0.850732i | \(-0.323841\pi\) | ||||
0.525600 | + | 0.850732i | \(0.323841\pi\) | |||||||
\(464\) | 13.6138 | − | 23.5798i | 0.632005 | − | 1.09467i | ||||
\(465\) | 0.885029 | + | 4.18971i | 0.0410423 | + | 0.194293i | ||||
\(466\) | −42.9713 | − | 7.57699i | −1.99061 | − | 0.350997i | ||||
\(467\) | −4.72757 | + | 2.72946i | −0.218766 | + | 0.126304i | −0.605379 | − | 0.795938i | \(-0.706978\pi\) |
0.386613 | + | 0.922242i | \(0.373645\pi\) | |||||||
\(468\) | −9.94436 | + | 34.3529i | −0.459678 | + | 1.58796i | ||||
\(469\) | 1.92617 | + | 0.339636i | 0.0889424 | + | 0.0156829i | ||||
\(470\) | 18.2796 | + | 103.669i | 0.843173 | + | 4.78187i | ||||
\(471\) | 4.34383 | + | 20.5636i | 0.200153 | + | 0.947520i | ||||
\(472\) | −6.04561 | + | 5.07287i | −0.278272 | + | 0.233498i | ||||
\(473\) | −6.44414 | + | 1.13628i | −0.296302 | + | 0.0522460i | ||||
\(474\) | −18.9041 | + | 24.1334i | −0.868294 | + | 1.10848i | ||||
\(475\) | 5.34296 | + | 19.7537i | 0.245152 | + | 0.906361i | ||||
\(476\) | − | 75.4104i | − | 3.45643i | ||||||
\(477\) | −10.8153 | + | 4.78266i | −0.495201 | + | 0.218983i | ||||
\(478\) | −60.4097 | + | 10.6519i | −2.76308 | + | 0.487205i | ||||
\(479\) | 4.03299 | + | 11.0805i | 0.184272 | + | 0.506283i | 0.997090 | − | 0.0762349i | \(-0.0242899\pi\) |
−0.812818 | + | 0.582518i | \(0.802068\pi\) | |||||||
\(480\) | 40.1413 | − | 25.0128i | 1.83219 | − | 1.14167i | ||||
\(481\) | 16.6710 | − | 6.06775i | 0.760133 | − | 0.276666i | ||||
\(482\) | 43.1267i | 1.96437i | ||||||||
\(483\) | 9.80093 | − | 12.5121i | 0.445958 | − | 0.569319i | ||||
\(484\) | −0.612268 | + | 3.47234i | −0.0278303 | + | 0.157834i | ||||
\(485\) | 43.3565 | − | 15.7805i | 1.96872 | − | 0.716554i | ||||
\(486\) | −13.5786 | − | 38.0517i | −0.615939 | − | 1.72606i | ||||
\(487\) | 21.0568 | + | 12.1571i | 0.954173 | + | 0.550892i | 0.894375 | − | 0.447318i | \(-0.147621\pi\) |
0.0597985 | + | 0.998210i | \(0.480954\pi\) | |||||||
\(488\) | 10.3473 | + | 8.68240i | 0.468400 | + | 0.393034i | ||||
\(489\) | 15.3590 | − | 28.7984i | 0.694557 | − | 1.30231i | ||||
\(490\) | −18.2718 | − | 3.22181i | −0.825435 | − | 0.145546i | ||||
\(491\) | 13.1022 | + | 15.6145i | 0.591292 | + | 0.704674i | 0.975854 | − | 0.218425i | \(-0.0700918\pi\) |
−0.384562 | + | 0.923099i | \(0.625647\pi\) | |||||||
\(492\) | 20.7081 | − | 38.8280i | 0.933592 | − | 1.75050i | ||||
\(493\) | −14.0173 | − | 8.09288i | −0.631307 | − | 0.364485i | ||||
\(494\) | −12.1265 | − | 25.8460i | −0.545596 | − | 1.16286i | ||||
\(495\) | −23.0860 | + | 22.1816i | −1.03764 | + | 0.996990i | ||||
\(496\) | −2.39486 | + | 6.57981i | −0.107532 | + | 0.295442i | ||||
\(497\) | 21.0589 | + | 7.66482i | 0.944622 | + | 0.343814i | ||||
\(498\) | −8.06611 | + | 1.70388i | −0.361451 | + | 0.0763526i | ||||
\(499\) | −34.7935 | − | 12.6638i | −1.55757 | − | 0.566910i | −0.587394 | − | 0.809301i | \(-0.699846\pi\) |
−0.970179 | + | 0.242391i | \(0.922068\pi\) | |||||||
\(500\) | 1.53395 | + | 4.21448i | 0.0686002 | + | 0.188477i | ||||
\(501\) | −20.5935 | + | 8.29012i | −0.920049 | + | 0.370375i | ||||
\(502\) | − | 49.9137i | − | 2.22776i | ||||||
\(503\) | 1.56626 | + | 4.30327i | 0.0698361 | + | 0.191873i | 0.969701 | − | 0.244296i | \(-0.0785570\pi\) |
−0.899864 | + | 0.436170i | \(0.856335\pi\) | |||||||
\(504\) | −35.8934 | − | 53.5046i | −1.59882 | − | 2.38329i | ||||
\(505\) | −21.4974 | − | 37.2346i | −0.956621 | − | 1.65692i | ||||
\(506\) | −13.3654 | − | 23.1496i | −0.594166 | − | 1.02913i | ||||
\(507\) | 10.8903 | + | 3.55365i | 0.483654 | + | 0.157823i | ||||
\(508\) | −1.29425 | + | 3.55592i | −0.0574230 | + | 0.157768i | ||||
\(509\) | −0.670492 | + | 3.80255i | −0.0297190 | + | 0.168545i | −0.996055 | − | 0.0887387i | \(-0.971716\pi\) |
0.966336 | + | 0.257284i | \(0.0828275\pi\) | |||||||
\(510\) | −38.7500 | − | 62.1873i | −1.71588 | − | 2.75370i | ||||
\(511\) | 10.8711 | − | 9.12196i | 0.480911 | − | 0.403532i | ||||
\(512\) | −46.8726 | −2.07149 | ||||||||
\(513\) | 19.7940 | + | 11.0089i | 0.873929 | + | 0.486054i | ||||
\(514\) | 13.9191 | 0.613947 | ||||||||
\(515\) | 23.1904 | − | 19.4590i | 1.02189 | − | 0.857468i | ||||
\(516\) | −8.24954 | − | 13.2391i | −0.363166 | − | 0.582820i | ||||
\(517\) | 7.76379 | − | 44.0306i | 0.341451 | − | 1.93646i | ||||
\(518\) | −18.9769 | + | 52.1386i | −0.833798 | + | 2.29084i | ||||
\(519\) | −41.0248 | − | 13.3870i | −1.80079 | − | 0.587623i | ||||
\(520\) | 27.7074 | + | 47.9906i | 1.21505 | + | 2.10453i | ||||
\(521\) | 15.8717 | + | 27.4906i | 0.695352 | + | 1.20438i | 0.970062 | + | 0.242857i | \(0.0780846\pi\) |
−0.274711 | + | 0.961527i | \(0.588582\pi\) | |||||||
\(522\) | −23.9526 | + | 1.61425i | −1.04838 | + | 0.0706536i | ||||
\(523\) | 11.3436 | + | 31.1662i | 0.496019 | + | 1.36280i | 0.895092 | + | 0.445882i | \(0.147110\pi\) |
−0.399073 | + | 0.916919i | \(0.630668\pi\) | |||||||
\(524\) | 81.0173i | 3.53926i | ||||||||
\(525\) | −23.0023 | + | 9.25983i | −1.00390 | + | 0.404132i | ||||
\(526\) | −17.7464 | − | 48.7577i | −0.773778 | − | 2.12594i | ||||
\(527\) | 3.91144 | + | 1.42365i | 0.170385 | + | 0.0620151i | ||||
\(528\) | −51.2205 | + | 10.8198i | −2.22909 | + | 0.470870i | ||||
\(529\) | −13.1040 | − | 4.76948i | −0.569741 | − | 0.207369i | ||||
\(530\) | −10.8797 | + | 29.8919i | −0.472586 | + | 1.29842i | ||||
\(531\) | 3.22920 | + | 0.934778i | 0.140135 | + | 0.0405659i | ||||
\(532\) | 60.6052 | + | 16.0860i | 2.62757 | + | 0.697416i | ||||
\(533\) | 11.7869 | + | 6.80516i | 0.510546 | + | 0.294764i | ||||
\(534\) | 24.6981 | − | 46.3095i | 1.06879 | − | 2.00401i | ||||
\(535\) | 1.86144 | + | 2.21837i | 0.0804770 | + | 0.0959087i | ||||
\(536\) | 4.44848 | + | 0.784387i | 0.192145 | + | 0.0338804i | ||||
\(537\) | 3.17440 | − | 5.95206i | 0.136985 | − | 0.256850i | ||||
\(538\) | 44.3745 | + | 37.2347i | 1.91312 | + | 1.60530i | ||||
\(539\) | 6.82445 | + | 3.94010i | 0.293950 | + | 0.169712i | ||||
\(540\) | −69.6046 | − | 31.3060i | −2.99530 | − | 1.34719i | ||||
\(541\) | −18.7285 | + | 6.81663i | −0.805203 | + | 0.293070i | −0.711641 | − | 0.702544i | \(-0.752048\pi\) |
−0.0935619 | + | 0.995613i | \(0.529825\pi\) | |||||||
\(542\) | 6.89173 | − | 39.0849i | 0.296025 | − | 1.67884i | ||||
\(543\) | 12.0739 | − | 15.4138i | 0.518143 | − | 0.661471i | ||||
\(544\) | − | 45.9745i | − | 1.97114i | ||||||
\(545\) | −35.5381 | + | 12.9348i | −1.52228 | + | 0.554066i | ||||
\(546\) | 29.3605 | − | 18.2950i | 1.25651 | − | 0.782956i | ||||
\(547\) | 1.48706 | + | 4.08566i | 0.0635820 | + | 0.174690i | 0.967415 | − | 0.253194i | \(-0.0814812\pi\) |
−0.903833 | + | 0.427885i | \(0.859259\pi\) | |||||||
\(548\) | 15.1739 | − | 2.67557i | 0.648198 | − | 0.114295i | ||||
\(549\) | 0.615865 | − | 5.72076i | 0.0262845 | − | 0.244156i | ||||
\(550\) | 41.7035i | 1.77824i | ||||||||
\(551\) | 9.49409 | − | 9.53899i | 0.404462 | − | 0.406374i | ||||
\(552\) | 22.6352 | − | 28.8965i | 0.963417 | − | 1.22992i | ||||
\(553\) | 20.5082 | − | 3.61616i | 0.872099 | − | 0.153775i | ||||
\(554\) | 28.6818 | − | 24.0669i | 1.21857 | − | 1.02250i | ||||
\(555\) | 7.82485 | + | 37.0426i | 0.332146 | + | 1.57237i | ||||
\(556\) | 13.7626 | + | 78.0517i | 0.583665 | + | 3.31013i | ||||
\(557\) | −31.1769 | − | 5.49732i | −1.32101 | − | 0.232929i | −0.531702 | − | 0.846931i | \(-0.678447\pi\) |
−0.789304 | + | 0.614002i | \(0.789559\pi\) | |||||||
\(558\) | 5.99420 | − | 1.47848i | 0.253755 | − | 0.0625889i | ||||
\(559\) | 4.17825 | − | 2.41231i | 0.176721 | − | 0.102030i | ||||
\(560\) | −82.4575 | − | 14.5395i | −3.48447 | − | 0.614405i | ||||
\(561\) | 6.43194 | + | 30.4486i | 0.271557 | + | 1.28554i | ||||
\(562\) | −13.3714 | + | 23.1600i | −0.564041 | + | 0.976947i | ||||
\(563\) | −29.3082 | −1.23519 | −0.617597 | − | 0.786494i | \(-0.711894\pi\) | ||||
−0.617597 | + | 0.786494i | \(0.711894\pi\) | |||||||
\(564\) | 104.282 | − | 22.0283i | 4.39105 | − | 0.927561i | ||||
\(565\) | −11.5927 | + | 2.04411i | −0.487709 | + | 0.0859963i | ||||
\(566\) | −19.7898 | − | 16.6056i | −0.831826 | − | 0.697985i | ||||
\(567\) | −10.4093 | + | 25.3944i | −0.437150 | + | 1.06647i | ||||
\(568\) | 48.6354 | + | 17.7018i | 2.04070 | + | 0.742753i | ||||
\(569\) | −16.0751 | + | 27.8429i | −0.673903 | + | 1.16723i | 0.302885 | + | 0.953027i | \(0.402050\pi\) |
−0.976788 | + | 0.214207i | \(0.931283\pi\) | |||||||
\(570\) | 58.2441 | − | 17.8769i | 2.43958 | − | 0.748783i | ||||
\(571\) | 11.4607 | + | 19.8505i | 0.479615 | + | 0.830717i | 0.999727 | − | 0.0233811i | \(-0.00744312\pi\) |
−0.520112 | + | 0.854098i | \(0.674110\pi\) | |||||||
\(572\) | −7.09510 | − | 40.2383i | −0.296661 | − | 1.68245i | ||||
\(573\) | 0.182965 | + | 5.43593i | 0.00764347 | + | 0.227089i | ||||
\(574\) | −39.9992 | + | 14.5585i | −1.66954 | + | 0.607661i | ||||
\(575\) | −9.08059 | − | 10.8218i | −0.378687 | − | 0.451301i | ||||
\(576\) | −8.51226 | − | 12.6889i | −0.354678 | − | 0.528702i | ||||
\(577\) | 6.14875 | − | 10.6500i | 0.255976 | − | 0.443363i | −0.709184 | − | 0.705023i | \(-0.750937\pi\) |
0.965160 | + | 0.261660i | \(0.0842699\pi\) | |||||||
\(578\) | −27.1639 | −1.12987 | ||||||||
\(579\) | −7.90685 | + | 24.2308i | −0.328598 | + | 1.00700i | ||||
\(580\) | −29.1506 | + | 34.7403i | −1.21041 | + | 1.44251i | ||||
\(581\) | 4.84995 | + | 2.80012i | 0.201210 | + | 0.116169i | ||||
\(582\) | −24.8415 | − | 61.7088i | −1.02971 | − | 2.55791i | ||||
\(583\) | 8.68445 | − | 10.3497i | 0.359673 | − | 0.428642i | ||||
\(584\) | 25.1068 | − | 21.0671i | 1.03893 | − | 0.871763i | ||||
\(585\) | 10.4013 | − | 21.1901i | 0.430042 | − | 0.876103i | ||||
\(586\) | −13.5202 | − | 76.6767i | −0.558513 | − | 3.16748i | ||||
\(587\) | 12.3452 | + | 14.7125i | 0.509543 | + | 0.607250i | 0.958075 | − | 0.286517i | \(-0.0924975\pi\) |
−0.448532 | + | 0.893767i | \(0.648053\pi\) | |||||||
\(588\) | −2.63788 | + | 18.5993i | −0.108784 | + | 0.767022i | ||||
\(589\) | −1.97851 | + | 2.83984i | −0.0815230 | + | 0.117013i | ||||
\(590\) | 7.83146 | − | 4.52149i | 0.322416 | − | 0.186147i | ||||
\(591\) | 0.502770 | + | 14.9374i | 0.0206812 | + | 0.614443i | ||||
\(592\) | −21.1737 | + | 58.1744i | −0.870235 | + | 2.39095i | ||||
\(593\) | 18.0028 | − | 21.4549i | 0.739287 | − | 0.881048i | −0.257064 | − | 0.966394i | \(-0.582755\pi\) |
0.996351 | + | 0.0853460i | \(0.0271996\pi\) | |||||||
\(594\) | 33.0821 | + | 32.1897i | 1.35737 | + | 1.32076i | ||||
\(595\) | −8.64316 | + | 49.0178i | −0.354335 | + | 2.00953i | ||||
\(596\) | −11.3055 | + | 6.52723i | −0.463091 | + | 0.267366i | ||||
\(597\) | 24.3095 | + | 19.0420i | 0.994920 | + | 0.779339i | ||||
\(598\) | 15.0979 | + | 12.6687i | 0.617399 | + | 0.518060i | ||||
\(599\) | 19.2546 | + | 16.1565i | 0.786721 | + | 0.660138i | 0.944932 | − | 0.327268i | \(-0.106128\pi\) |
−0.158210 | + | 0.987405i | \(0.550572\pi\) | |||||||
\(600\) | −53.1237 | + | 21.3855i | −2.16877 | + | 0.873059i | ||||
\(601\) | 40.2954 | − | 23.2645i | 1.64368 | − | 0.948980i | 0.664173 | − | 0.747579i | \(-0.268784\pi\) |
0.979509 | − | 0.201401i | \(-0.0645494\pi\) | |||||||
\(602\) | −2.62018 | + | 14.8598i | −0.106791 | + | 0.605640i | ||||
\(603\) | −0.778196 | − | 1.75979i | −0.0316906 | − | 0.0716640i | ||||
\(604\) | 63.5520 | − | 75.7383i | 2.58589 | − | 3.08175i | ||||
\(605\) | 0.795965 | − | 2.18690i | 0.0323606 | − | 0.0889100i | ||||
\(606\) | −52.6102 | + | 32.7824i | −2.13714 | + | 1.33169i | ||||
\(607\) | 25.8987 | − | 14.9526i | 1.05120 | − | 0.606909i | 0.128213 | − | 0.991747i | \(-0.459076\pi\) |
0.922984 | + | 0.384838i | \(0.125743\pi\) | |||||||
\(608\) | 36.9485 | + | 9.80696i | 1.49846 | + | 0.397725i | ||||
\(609\) | 12.8382 | + | 10.0564i | 0.520230 | + | 0.407506i | ||||
\(610\) | −9.94869 | − | 11.8564i | −0.402811 | − | 0.480051i | ||||
\(611\) | 5.72431 | + | 32.4642i | 0.231581 | + | 1.31336i | ||||
\(612\) | −61.6087 | + | 41.3299i | −2.49038 | + | 1.67066i | ||||
\(613\) | 31.4292 | − | 26.3722i | 1.26941 | − | 1.06516i | 0.274801 | − | 0.961501i | \(-0.411388\pi\) |
0.994612 | − | 0.103664i | \(-0.0330565\pi\) | |||||||
\(614\) | 8.99712 | − | 10.7223i | 0.363094 | − | 0.432719i | ||||
\(615\) | −17.9108 | + | 22.8653i | −0.722234 | + | 0.922018i | ||||
\(616\) | 63.7473 | + | 36.8045i | 2.56845 | + | 1.48290i | ||||
\(617\) | −21.9918 | + | 26.2088i | −0.885356 | + | 1.05513i | 0.112750 | + | 0.993623i | \(0.464034\pi\) |
−0.998107 | + | 0.0615034i | \(0.980411\pi\) | |||||||
\(618\) | −29.1641 | − | 32.4723i | −1.17315 | − | 1.30623i | ||||
\(619\) | −19.2560 | −0.773964 | −0.386982 | − | 0.922087i | \(-0.626482\pi\) | ||||
−0.386982 | + | 0.922087i | \(0.626482\pi\) | |||||||
\(620\) | 5.83133 | − | 10.1002i | 0.234192 | − | 0.405632i | ||||
\(621\) | −15.5937 | − | 1.14970i | −0.625752 | − | 0.0461360i | ||||
\(622\) | −19.0005 | − | 22.6439i | −0.761851 | − | 0.907939i | ||||
\(623\) | −33.5024 | + | 12.1939i | −1.34224 | + | 0.488537i | ||||
\(624\) | 32.7594 | − | 20.4129i | 1.31142 | − | 0.817172i | ||||
\(625\) | −4.59013 | − | 26.0319i | −0.183605 | − | 1.04128i | ||||
\(626\) | −38.8235 | − | 67.2443i | −1.55170 | − | 2.68762i | ||||
\(627\) | −25.8427 | − | 1.32591i | −1.03206 | − | 0.0529517i | ||||
\(628\) | 28.6209 | − | 49.5728i | 1.14210 | − | 1.97817i | ||||
\(629\) | 34.5824 | + | 12.5870i | 1.37889 | + | 0.501875i | ||||
\(630\) | 29.8574 | + | 67.5185i | 1.18955 | + | 2.69000i | ||||
\(631\) | −14.4502 | − | 12.1251i | −0.575253 | − | 0.482694i | 0.308132 | − | 0.951344i | \(-0.400296\pi\) |
−0.883384 | + | 0.468650i | \(0.844741\pi\) | |||||||
\(632\) | 47.3636 | − | 8.35148i | 1.88402 | − | 0.332204i | ||||
\(633\) | 1.21639 | + | 1.35437i | 0.0483472 | + | 0.0538313i | ||||
\(634\) | −7.85644 | −0.312019 | ||||||||
\(635\) | 1.24884 | − | 2.16306i | 0.0495588 | − | 0.0858383i | ||||
\(636\) | 30.6187 | + | 9.99131i | 1.21411 | + | 0.396181i | ||||
\(637\) | −5.72188 | − | 1.00892i | −0.226709 | − | 0.0399749i | ||||
\(638\) | 23.7530 | − | 13.7138i | 0.940390 | − | 0.542935i | ||||
\(639\) | −5.27970 | − | 21.4055i | −0.208862 | − | 0.846790i | ||||
\(640\) | 13.3069 | + | 2.34636i | 0.526001 | + | 0.0927482i | ||||
\(641\) | −3.63113 | − | 20.5932i | −0.143421 | − | 0.813381i | −0.968621 | − | 0.248541i | \(-0.920049\pi\) |
0.825200 | − | 0.564840i | \(-0.191062\pi\) | |||||||
\(642\) | 3.10627 | − | 2.78981i | 0.122595 | − | 0.110105i | ||||
\(643\) | 29.7629 | − | 24.9741i | 1.17373 | − | 0.984881i | 0.173735 | − | 0.984792i | \(-0.444416\pi\) |
1.00000 | 8.81556e-5i | \(-2.80608e-5\pi\) | ||||||||
\(644\) | −42.6296 | + | 7.51675i | −1.67984 | + | 0.296201i | ||||
\(645\) | 3.84491 | + | 9.55114i | 0.151393 | + | 0.376076i | ||||
\(646\) | 15.1930 | − | 57.2409i | 0.597762 | − | 2.25211i | ||||
\(647\) | − | 46.7535i | − | 1.83807i | −0.394177 | − | 0.919034i | \(-0.628970\pi\) | ||
0.394177 | − | 0.919034i | \(-0.371030\pi\) | |||||||
\(648\) | −24.0402 | + | 58.6482i | −0.944388 | + | 2.30392i | ||||
\(649\) | −3.78243 | + | 0.666945i | −0.148473 | + | 0.0261799i | ||||
\(650\) | −10.5166 | − | 28.8941i | −0.412494 | − | 1.13332i | ||||
\(651\) | −3.70051 | − | 1.97359i | −0.145034 | − | 0.0773509i | ||||
\(652\) | −83.5304 | + | 30.4026i | −3.27130 | + | 1.19066i | ||||
\(653\) | − | 5.22968i | − | 0.204653i | −0.994751 | − | 0.102327i | \(-0.967371\pi\) | ||
0.994751 | − | 0.102327i | \(-0.0326287\pi\) | |||||||
\(654\) | 20.3619 | + | 50.5810i | 0.796214 | + | 1.97787i | ||||
\(655\) | 9.28579 | − | 52.6623i | 0.362826 | − | 2.05769i | ||||
\(656\) | −44.6297 | + | 16.2439i | −1.74250 | + | 0.634217i | ||||
\(657\) | −13.4106 | − | 3.88204i | −0.523196 | − | 0.151453i | ||||
\(658\) | −89.2856 | − | 51.5491i | −3.48072 | − | 2.00959i | ||||
\(659\) | −3.87066 | − | 3.24787i | −0.150780 | − | 0.126519i | 0.564277 | − | 0.825585i | \(-0.309155\pi\) |
−0.715057 | + | 0.699066i | \(0.753599\pi\) | |||||||
\(660\) | 87.1460 | − | 2.93320i | 3.39215 | − | 0.114175i | ||||
\(661\) | −18.0773 | − | 3.18751i | −0.703125 | − | 0.123980i | −0.189356 | − | 0.981908i | \(-0.560640\pi\) |
−0.513769 | + | 0.857929i | \(0.671751\pi\) | |||||||
\(662\) | 35.7920 | + | 42.6553i | 1.39110 | + | 1.65784i | ||||
\(663\) | −12.1347 | − | 19.4742i | −0.471273 | − | 0.756314i | ||||
\(664\) | 11.2009 | + | 6.46685i | 0.434680 | + | 0.250963i | ||||
\(665\) | −37.5505 | − | 17.4024i | −1.45615 | − | 0.674836i | ||||
\(666\) | 52.9968 | − | 13.0717i | 2.05358 | − | 0.506519i | ||||
\(667\) | −3.17771 | + | 8.73067i | −0.123041 | + | 0.338053i | ||||
\(668\) | 56.8150 | + | 20.6790i | 2.19824 | + | 0.800094i | ||||
\(669\) | 10.4138 | + | 11.5951i | 0.402621 | + | 0.448291i | ||||
\(670\) | −4.86376 | − | 1.77026i | −0.187903 | − | 0.0683913i | ||||
\(671\) | 2.24832 | + | 6.17720i | 0.0867954 | + | 0.238468i | ||||
\(672\) | −6.50457 | + | 45.8628i | −0.250919 | + | 1.76919i | ||||
\(673\) | 1.89398i | 0.0730077i | 0.999334 | + | 0.0365039i | \(0.0116221\pi\) | ||||
−0.999334 | + | 0.0365039i | \(0.988378\pi\) | |||||||
\(674\) | −18.9663 | − | 52.1094i | −0.730554 | − | 2.00718i | ||||
\(675\) | 20.1719 | + | 13.7174i | 0.776417 | + | 0.527984i | ||||
\(676\) | −15.5997 | − | 27.0194i | −0.599987 | − | 1.03921i | ||||
\(677\) | 24.4372 | + | 42.3265i | 0.939198 | + | 1.62674i | 0.766972 | + | 0.641681i | \(0.221763\pi\) |
0.172226 | + | 0.985057i | \(0.444904\pi\) | |||||||
\(678\) | 3.50769 | + | 16.6053i | 0.134712 | + | 0.637723i | ||||
\(679\) | −15.4552 | + | 42.4629i | −0.593117 | + | 1.62957i | ||||
\(680\) | −19.9613 | + | 113.206i | −0.765481 | + | 4.34126i | ||||
\(681\) | −4.01809 | + | 0.135242i | −0.153973 | + | 0.00518250i | ||||
\(682\) | −5.40331 | + | 4.53391i | −0.206903 | + | 0.173613i | ||||
\(683\) | 48.2589 | 1.84657 | 0.923287 | − | 0.384111i | \(-0.125492\pi\) | ||||
0.923287 | + | 0.384111i | \(0.125492\pi\) | |||||||
\(684\) | −20.0738 | − | 58.3294i | −0.767540 | − | 2.23028i | ||||
\(685\) | −10.1699 | −0.388573 | ||||||||
\(686\) | −28.4610 | + | 23.8816i | −1.08665 | + | 0.911805i | ||||
\(687\) | −0.219210 | + | 0.411024i | −0.00836340 | + | 0.0156815i | ||||
\(688\) | −2.92350 | + | 16.5800i | −0.111457 | + | 0.632107i | ||||
\(689\) | −3.40703 | + | 9.36075i | −0.129798 | + | 0.356616i | ||||
\(690\) | −31.2920 | + | 28.1041i | −1.19127 | + | 1.06991i | ||||
\(691\) | −24.2403 | − | 41.9854i | −0.922144 | − | 1.59720i | −0.796091 | − | 0.605177i | \(-0.793102\pi\) |
−0.126053 | − | 0.992023i | \(-0.540231\pi\) | |||||||
\(692\) | 58.7656 | + | 101.785i | 2.23393 | + | 3.86928i | ||||
\(693\) | −2.10837 | − | 31.2846i | −0.0800903 | − | 1.18840i | ||||
\(694\) | −7.05550 | − | 19.3848i | −0.267823 | − | 0.735838i | ||||
\(695\) | − | 52.3121i | − | 1.98431i | ||||||
\(696\) | 29.6497 | + | 23.2252i | 1.12387 | + | 0.880348i | ||||
\(697\) | 9.65635 | + | 26.5306i | 0.365760 | + | 1.00492i | ||||
\(698\) | −66.9779 | − | 24.3780i | −2.53515 | − | 0.922720i | ||||
\(699\) | 9.04594 | − | 27.7216i | 0.342149 | − | 1.04853i | ||||
\(700\) | 63.4608 | + | 23.0978i | 2.39859 | + | 0.873016i | ||||
\(701\) | −6.42122 | + | 17.6422i | −0.242526 | + | 0.666335i | 0.757384 | + | 0.652969i | \(0.226477\pi\) |
−0.999911 | + | 0.0133661i | \(0.995745\pi\) | |||||||
\(702\) | −31.0382 | − | 13.9600i | −1.17146 | − | 0.526886i | ||||
\(703\) | −17.4927 | + | 25.1080i | −0.659748 | + | 0.946965i | ||||
\(704\) | 15.1179 | + | 8.72834i | 0.569779 | + | 0.328962i | ||||
\(705\) | −70.3093 | + | 2.36650i | −2.64800 | + | 0.0891275i | ||||
\(706\) | 14.1480 | + | 16.8609i | 0.532466 | + | 0.634568i | ||||
\(707\) | 41.4689 | + | 7.31209i | 1.55960 | + | 0.274999i | ||||
\(708\) | −4.84212 | − | 7.77080i | −0.181978 | − | 0.292045i | ||||
\(709\) | 13.1075 | + | 10.9985i | 0.492264 | + | 0.413059i | 0.854837 | − | 0.518897i | \(-0.173657\pi\) |
−0.362573 | + | 0.931955i | \(0.618102\pi\) | |||||||
\(710\) | −51.3598 | − | 29.6526i | −1.92750 | − | 1.11284i | ||||
\(711\) | −14.1942 | − | 14.7729i | −0.532324 | − | 0.554027i | ||||
\(712\) | −77.3734 | + | 28.1616i | −2.89969 | + | 1.05540i | ||||
\(713\) | 0.414906 | − | 2.35305i | 0.0155384 | − | 0.0881224i | ||||
\(714\) | 71.0510 | + | 10.0769i | 2.65902 | + | 0.377120i | ||||
\(715\) | 26.9687i | 1.00857i | ||||||||
\(716\) | −17.2641 | + | 6.28362i | −0.645190 | + | 0.234830i | ||||
\(717\) | −1.37901 | − | 40.9706i | −0.0514999 | − | 1.53008i | ||||
\(718\) | 26.7936 | + | 73.6149i | 0.999929 | + | 2.74728i | ||||
\(719\) | −15.3670 | + | 2.70961i | −0.573091 | + | 0.101051i | −0.452681 | − | 0.891673i | \(-0.649532\pi\) |
−0.120411 | + | 0.992724i | \(0.538421\pi\) | |||||||
\(720\) | 33.3138 | + | 75.3346i | 1.24153 | + | 2.80756i | ||||
\(721\) | 29.6490i | 1.10418i | ||||||||
\(722\) | 42.7621 | + | 24.4204i | 1.59144 | + | 0.908834i | ||||
\(723\) | −28.5354 | − | 4.04709i | −1.06124 | − | 0.150513i | ||||
\(724\) | −52.5162 | + | 9.26002i | −1.95175 | + | 0.344146i | ||||
\(725\) | 11.1039 | − | 9.31728i | 0.412389 | − | 0.346035i | ||||
\(726\) | −3.18979 | − | 1.04088i | −0.118384 | − | 0.0386305i | ||||
\(727\) | −1.10141 | − | 6.24641i | −0.0408490 | − | 0.231666i | 0.957547 | − | 0.288276i | \(-0.0930821\pi\) |
−0.998396 | + | 0.0566096i | \(0.981971\pi\) | |||||||
\(728\) | −53.4481 | − | 9.42434i | −1.98092 | − | 0.349289i | ||||
\(729\) | 26.4517 | − | 5.41366i | 0.979692 | − | 0.200506i | ||||
\(730\) | −32.5233 | + | 18.7773i | −1.20374 | + | 0.694979i | ||||
\(731\) | 9.85617 | + | 1.73791i | 0.364544 | + | 0.0642789i | ||||
\(732\) | −11.6589 | + | 10.4711i | −0.430924 | + | 0.387023i | ||||
\(733\) | −14.5143 | + | 25.1395i | −0.536097 | + | 0.928548i | 0.463012 | + | 0.886352i | \(0.346769\pi\) |
−0.999109 | + | 0.0421960i | \(0.986565\pi\) | |||||||
\(734\) | 18.6218 | 0.687345 | ||||||||
\(735\) | 3.84642 | − | 11.7875i | 0.141877 | − | 0.434787i | ||||
\(736\) | −25.9895 | + | 4.58265i | −0.957985 | + | 0.168919i | ||||
\(737\) | 1.68402 | + | 1.41306i | 0.0620318 | + | 0.0520509i | ||||
\(738\) | 33.8163 | + | 24.6995i | 1.24479 | + | 0.909200i | ||||
\(739\) | 0.118940 | + | 0.0432906i | 0.00437528 | + | 0.00159247i | 0.344207 | − | 0.938894i | \(-0.388148\pi\) |
−0.339832 | + | 0.940486i | \(0.610370\pi\) | |||||||
\(740\) | 51.5567 | − | 89.2989i | 1.89526 | − | 3.28269i | ||||
\(741\) | 18.2393 | − | 5.59823i | 0.670039 | − | 0.205656i | ||||
\(742\) | −15.5773 | − | 26.9807i | −0.571861 | − | 0.990492i | ||||
\(743\) | −9.01776 | − | 51.1422i | −0.330829 | − | 1.87623i | −0.465064 | − | 0.885277i | \(-0.653969\pi\) |
0.134234 | − | 0.990950i | \(-0.457143\pi\) | |||||||
\(744\) | −8.54630 | − | 4.55798i | −0.313323 | − | 0.167104i | ||||
\(745\) | 8.09685 | − | 2.94701i | 0.296646 | − | 0.107970i | ||||
\(746\) | −18.5480 | − | 22.1047i | −0.679092 | − | 0.809311i | ||||
\(747\) | −0.370458 | − | 5.49696i | −0.0135543 | − | 0.201123i | ||||
\(748\) | 42.3791 | − | 73.4027i | 1.54953 | − | 2.68387i | ||||
\(749\) | −2.83620 | −0.103632 | ||||||||
\(750\) | −4.17583 | + | 0.882098i | −0.152480 | + | 0.0322097i | ||||
\(751\) | −4.42954 | + | 5.27892i | −0.161636 | + | 0.192630i | −0.840783 | − | 0.541372i | \(-0.817905\pi\) |
0.679147 | + | 0.734002i | \(0.262350\pi\) | |||||||
\(752\) | −99.6216 | − | 57.5166i | −3.63283 | − | 2.09741i | ||||
\(753\) | 33.0262 | + | 4.68399i | 1.20354 | + | 0.170694i | ||||
\(754\) | −12.9989 | + | 15.4914i | −0.473391 | + | 0.564165i | ||||
\(755\) | −49.9904 | + | 41.9469i | −1.81934 | + | 1.52661i | ||||
\(756\) | 67.3063 | − | 32.5129i | 2.44791 | − | 1.18248i | ||||
\(757\) | 1.12341 | + | 6.37117i | 0.0408310 | + | 0.231564i | 0.998393 | − | 0.0566619i | \(-0.0180457\pi\) |
−0.957562 | + | 0.288226i | \(0.906935\pi\) | |||||||
\(758\) | 28.7058 | + | 34.2103i | 1.04264 | + | 1.24257i | ||||
\(759\) | 16.5715 | − | 6.67104i | 0.601508 | − | 0.242143i | ||||
\(760\) | −86.7227 | − | 40.1907i | −3.14576 | − | 1.45787i | ||||
\(761\) | 22.4632 | − | 12.9692i | 0.814292 | − | 0.470132i | −0.0341523 | − | 0.999417i | \(-0.510873\pi\) |
0.848444 | + | 0.529285i | \(0.177540\pi\) | |||||||
\(762\) | −3.17741 | − | 1.69460i | −0.115105 | − | 0.0613889i | ||||
\(763\) | 12.6682 | − | 34.8056i | 0.458620 | − | 1.26005i | ||||
\(764\) | 9.52186 | − | 11.3477i | 0.344489 | − | 0.410546i | ||||
\(765\) | 44.7835 | − | 19.8037i | 1.61915 | − | 0.716006i | ||||
\(766\) | −0.672031 | + | 3.81128i | −0.0242815 | + | 0.137707i | ||||
\(767\) | 2.45245 | − | 1.41592i | 0.0885528 | − | 0.0511260i | ||||
\(768\) | 5.21310 | − | 36.7568i | 0.188111 | − | 1.32635i | ||||
\(769\) | 12.1577 | + | 10.2015i | 0.438416 | + | 0.367875i | 0.835116 | − | 0.550073i | \(-0.185400\pi\) |
−0.396700 | + | 0.917948i | \(0.629845\pi\) | |||||||
\(770\) | −64.6117 | − | 54.2156i | −2.32844 | − | 1.95380i | ||||
\(771\) | −1.30620 | + | 9.20982i | −0.0470416 | + | 0.331683i | ||||
\(772\) | 60.1180 | − | 34.7091i | 2.16369 | − | 1.24921i | ||||
\(773\) | 1.22968 | − | 6.97387i | 0.0442286 | − | 0.250833i | −0.954675 | − | 0.297651i | \(-0.903797\pi\) |
0.998903 | + | 0.0468180i | \(0.0149081\pi\) | |||||||
\(774\) | 13.5762 | − | 6.00352i | 0.487985 | − | 0.215792i | ||||
\(775\) | −2.39611 | + | 2.85557i | −0.0860709 | + | 0.102575i | ||||
\(776\) | −35.6937 | + | 98.0676i | −1.28133 | + | 3.52042i | ||||
\(777\) | −32.7175 | − | 17.4491i | −1.17373 | − | 0.625985i | ||||
\(778\) | −1.27982 | + | 0.738904i | −0.0458838 | + | 0.0264910i | ||||
\(779\) | −23.3817 | + | 2.10122i | −0.837738 | + | 0.0752842i | ||||
\(780\) | −59.6389 | + | 24.0083i | −2.13542 | + | 0.859634i | ||||
\(781\) | 16.1908 | + | 19.2954i | 0.579352 | + | 0.690445i | ||||
\(782\) | 7.09948 | + | 40.2631i | 0.253877 | + | 1.43981i | ||||
\(783\) | 1.17967 | − | 16.0001i | 0.0421580 | − | 0.571797i | ||||
\(784\) | 15.5314 | − | 13.0324i | 0.554693 | − | 0.465443i | ||||
\(785\) | −24.2857 | + | 28.9426i | −0.866795 | + | 1.03301i | ||||
\(786\) | −76.3338 | − | 10.8262i | −2.72273 | − | 0.386157i | ||||
\(787\) | −22.1091 | − | 12.7647i | −0.788105 | − | 0.455012i | 0.0511903 | − | 0.998689i | \(-0.483699\pi\) |
−0.839295 | + | 0.543677i | \(0.817032\pi\) | |||||||
\(788\) | 26.1651 | − | 31.1824i | 0.932094 | − | 1.11083i | ||||
\(789\) | 33.9266 | − | 7.16663i | 1.20782 | − | 0.255139i | ||||
\(790\) | −55.1086 | −1.96068 | ||||||||
\(791\) | 5.76447 | − | 9.98435i | 0.204961 | − | 0.355003i | ||||
\(792\) | −4.86926 | − | 72.2515i | −0.173022 | − | 2.56734i | ||||
\(793\) | −3.11547 | − | 3.71287i | −0.110634 | − | 0.131848i | ||||
\(794\) | 56.5318 | − | 20.5759i | 2.00624 | − | 0.730211i | ||||
\(795\) | −18.7574 | − | 10.0039i | −0.665257 | − | 0.354800i | ||||
\(796\) | −14.6041 | − | 82.8242i | −0.517630 | − | 2.93563i | ||||
\(797\) | −2.93439 | − | 5.08251i | −0.103941 | − | 0.180032i | 0.809364 | − | 0.587308i | \(-0.199812\pi\) |
−0.913305 | + | 0.407276i | \(0.866479\pi\) | |||||||
\(798\) | −23.2546 | + | 54.9522i | −0.823205 | + | 1.94529i | ||||
\(799\) | −34.1914 | + | 59.2212i | −1.20960 | + | 2.09510i | ||||
\(800\) | 38.6894 | + | 14.0818i | 1.36788 | + | 0.497866i | ||||
\(801\) | 28.3237 | + | 20.6877i | 1.00077 | + | 0.730963i | ||||
\(802\) | −9.53063 | − | 7.99715i | −0.336538 | − | 0.282389i | ||||
\(803\) | 15.7081 | − | 2.76975i | 0.554325 | − | 0.0977425i | ||||
\(804\) | −1.62571 | + | 4.98203i | −0.0573342 | + | 0.175703i | ||||
\(805\) | 28.5714 | 1.00701 | ||||||||
\(806\) | 2.60031 | − | 4.50388i | 0.0915921 | − | 0.158642i | ||||
\(807\) | −28.8011 | + | 25.8669i | −1.01385 | + | 0.910559i | ||||
\(808\) | 95.7721 | + | 16.8872i | 3.36925 | + | 0.594090i | ||||
\(809\) | 16.9578 | − | 9.79057i | 0.596203 | − | 0.344218i | −0.171343 | − | 0.985211i | \(-0.554811\pi\) |
0.767546 | + | 0.640993i | \(0.221477\pi\) | |||||||
\(810\) | 38.7973 | − | 61.3975i | 1.36320 | − | 2.15729i | ||||
\(811\) | −11.2193 | − | 1.97826i | −0.393962 | − | 0.0694661i | −0.0268418 | − | 0.999640i | \(-0.508545\pi\) |
−0.367120 | + | 0.930174i | \(0.619656\pi\) | |||||||
\(812\) | −7.71267 | − | 43.7407i | −0.270662 | − | 1.53500i | ||||
\(813\) | 25.2144 | + | 8.22782i | 0.884307 | + | 0.288562i | ||||
\(814\) | −47.7725 | + | 40.0859i | −1.67443 | + | 1.40501i | ||||
\(815\) | 57.7805 | − | 10.1883i | 2.02396 | − | 0.356879i | ||||
\(816\) | 79.2761 | + | 11.2435i | 2.77522 | + | 0.393600i | ||||
\(817\) | −3.49916 | + | 7.55041i | −0.122420 | + | 0.264155i | ||||
\(818\) | 63.1556i | 2.20818i | ||||||||
\(819\) | 9.34995 | + | 21.1437i | 0.326714 | + | 0.738820i | ||||
\(820\) | 77.9039 | − | 13.7366i | 2.72052 | − | 0.479701i | ||||
\(821\) | −7.42440 | − | 20.3984i | −0.259113 | − | 0.711908i | −0.999223 | − | 0.0394212i | \(-0.987449\pi\) |
0.740110 | − | 0.672486i | \(-0.234774\pi\) | |||||||
\(822\) | 0.493240 | + | 14.6543i | 0.0172037 | + | 0.511127i | ||||
\(823\) | −12.6452 | + | 4.60248i | −0.440784 | + | 0.160432i | −0.552872 | − | 0.833266i | \(-0.686468\pi\) |
0.112088 | + | 0.993698i | \(0.464246\pi\) | |||||||
\(824\) | 68.4740i | 2.38541i | ||||||||
\(825\) | −27.5938 | − | 3.91354i | −0.960692 | − | 0.136252i | ||||
\(826\) | −1.53793 | + | 8.72205i | −0.0535115 | + | 0.303479i | ||||
\(827\) | −9.18817 | + | 3.34422i | −0.319504 | + | 0.116290i | −0.496793 | − | 0.867869i | \(-0.665489\pi\) |
0.177290 | + | 0.984159i | \(0.443267\pi\) | |||||||
\(828\) | 29.5049 | + | 30.7078i | 1.02537 | + | 1.06717i | ||||
\(829\) | 26.4607 | + | 15.2771i | 0.919020 | + | 0.530596i | 0.883322 | − | 0.468766i | \(-0.155301\pi\) |
0.0356976 | + | 0.999363i | \(0.488635\pi\) | |||||||
\(830\) | −11.3528 | − | 9.52613i | −0.394062 | − | 0.330657i | ||||
\(831\) | 13.2327 | + | 21.2362i | 0.459036 | + | 0.736677i | ||||
\(832\) | −12.6754 | − | 2.23502i | −0.439442 | − | 0.0774855i | ||||
\(833\) | −7.74726 | − | 9.23282i | −0.268427 | − | 0.319898i | ||||
\(834\) | −75.3787 | + | 2.53713i | −2.61015 | + | 0.0878536i | ||||
\(835\) | −34.5604 | − | 19.9535i | −1.19601 | − | 0.690518i | ||||
\(836\) | 49.9517 | + | 49.7166i | 1.72762 | + | 1.71948i | ||||
\(837\) | 0.415749 | + | 4.10490i | 0.0143704 | + | 0.141886i | ||||
\(838\) | −15.7701 | + | 43.3281i | −0.544770 | + | 1.49674i | ||||
\(839\) | −28.2981 | − | 10.2997i | −0.976961 | − | 0.355585i | −0.196303 | − | 0.980543i | \(-0.562894\pi\) |
−0.780658 | + | 0.624959i | \(0.785116\pi\) | |||||||
\(840\) | 35.9294 | − | 110.107i | 1.23968 | − | 3.79904i | ||||
\(841\) | 18.2928 | + | 6.65805i | 0.630788 | + | 0.229588i | ||||
\(842\) | −3.13679 | − | 8.61826i | −0.108101 | − | 0.297005i | ||||
\(843\) | −14.0694 | − | 11.0208i | −0.484575 | − | 0.379577i | ||||
\(844\) | − | 4.95799i | − | 0.170661i | ||||||
\(845\) | 7.04317 | + | 19.3510i | 0.242292 | + | 0.665693i | ||||
\(846\) | 6.81998 | + | 101.197i | 0.234476 | + | 3.47922i | ||||
\(847\) | 1.13964 | + | 1.97391i | 0.0391585 | + | 0.0678245i | ||||
\(848\) | −17.3806 | − | 30.1041i | −0.596852 | − | 1.03378i | ||||
\(849\) | 12.8444 | − | 11.5359i | 0.440820 | − | 0.395911i | ||||
\(850\) | 21.8156 | − | 59.9379i | 0.748270 | − | 2.05585i | ||||
\(851\) | 3.66833 | − | 20.8041i | 0.125749 | − | 0.713156i | ||||
\(852\) | −28.2567 | + | 52.9819i | −0.968060 | + | 1.81513i | ||||
\(853\) | −41.5974 | + | 34.9043i | −1.42427 | + | 1.19510i | −0.475261 | + | 0.879845i | \(0.657646\pi\) |
−0.949006 | + | 0.315257i | \(0.897909\pi\) | |||||||
\(854\) | 15.1584 | 0.518710 | ||||||||
\(855\) | 6.36282 | + | 40.2157i | 0.217604 | + | 1.37535i | ||||
\(856\) | −6.55017 | −0.223880 | ||||||||
\(857\) | −15.6108 | + | 13.0991i | −0.533256 | + | 0.447455i | −0.869224 | − | 0.494418i | \(-0.835381\pi\) |
0.335968 | + | 0.941873i | \(0.390937\pi\) | |||||||
\(858\) | 38.8603 | − | 1.30798i | 1.32667 | − | 0.0446535i | ||||
\(859\) | 5.75593 | − | 32.6435i | 0.196390 | − | 1.11378i | −0.714036 | − | 0.700109i | \(-0.753135\pi\) |
0.910426 | − | 0.413672i | \(-0.135754\pi\) | |||||||
\(860\) | 9.59079 | − | 26.3505i | 0.327043 | − | 0.898544i | ||||
\(861\) | −5.87927 | − | 27.8323i | −0.200365 | − | 0.948522i | ||||
\(862\) | 25.8381 | + | 44.7529i | 0.880049 | + | 1.52429i | ||||
\(863\) | −27.0789 | − | 46.9020i | −0.921777 | − | 1.59656i | −0.796665 | − | 0.604422i | \(-0.793404\pi\) |
−0.125112 | − | 0.992143i | \(-0.539929\pi\) | |||||||
\(864\) | 41.0338 | − | 19.8218i | 1.39600 | − | 0.674350i | ||||
\(865\) | −26.5324 | − | 72.8970i | −0.902127 | − | 2.47857i | ||||
\(866\) | 22.8415i | 0.776185i | ||||||||
\(867\) | 2.54912 | − | 17.9734i | 0.0865725 | − | 0.610410i | ||||
\(868\) | 3.90665 | + | 10.7334i | 0.132600 | + | 0.364316i | ||||
\(869\) | 21.9944 | + | 8.00532i | 0.746111 | + | 0.271562i | ||||
\(870\) | −28.8367 | − | 32.1077i | −0.977654 | − | 1.08855i | ||||
\(871\) | −1.52311 | − | 0.554365i | −0.0516084 | − | 0.0187839i | ||||
\(872\) | 29.2571 | − | 80.3833i | 0.990772 | − | 2.72212i | ||||
\(873\) | 43.1617 | − | 10.6459i | 1.46080 | − | 0.360309i | ||||
\(874\) | −33.8728 | − | 2.88299i | −1.14576 | − | 0.0975186i | ||||
\(875\) | 2.51082 | + | 1.44962i | 0.0848813 | + | 0.0490062i | ||||
\(876\) | 20.1088 | + | 32.2713i | 0.679415 | + | 1.09035i | ||||
\(877\) | −2.86757 | − | 3.41744i | −0.0968309 | − | 0.115399i | 0.715453 | − | 0.698661i | \(-0.246220\pi\) |
−0.812284 | + | 0.583262i | \(0.801776\pi\) | |||||||
\(878\) | 10.9657 | + | 1.93356i | 0.370076 | + | 0.0652544i | ||||
\(879\) | 52.0030 | − | 1.75034i | 1.75402 | − | 0.0590375i | ||||
\(880\) | −72.0913 | − | 60.4918i | −2.43020 | − | 2.03918i | ||||
\(881\) | −5.10962 | − | 2.95004i | −0.172147 | − | 0.0993894i | 0.411451 | − | 0.911432i | \(-0.365022\pi\) |
−0.583598 | + | 0.812043i | \(0.698356\pi\) | |||||||
\(882\) | −17.1716 | − | 4.97077i | −0.578198 | − | 0.167375i | ||||
\(883\) | −7.83096 | + | 2.85024i | −0.263533 | + | 0.0959181i | −0.470407 | − | 0.882449i | \(-0.655893\pi\) |
0.206875 | + | 0.978367i | \(0.433671\pi\) | |||||||
\(884\) | −10.8518 | + | 61.5436i | −0.364985 | + | 2.06993i | ||||
\(885\) | 2.25680 | + | 5.60611i | 0.0758614 | + | 0.188447i | ||||
\(886\) | − | 59.8672i | − | 2.01128i | ||||||
\(887\) | 33.2961 | − | 12.1188i | 1.11797 | − | 0.406909i | 0.284062 | − | 0.958806i | \(-0.408318\pi\) |
0.833913 | + | 0.551896i | \(0.186096\pi\) | |||||||
\(888\) | −75.5608 | − | 40.2987i | −2.53565 | − | 1.35233i | ||||
\(889\) | 0.836651 | + | 2.29868i | 0.0280604 | + | 0.0770953i | ||||
\(890\) | 92.9145 | − | 16.3833i | 3.11450 | − | 0.549171i | ||||
\(891\) | −24.4033 | + | 18.8685i | −0.817542 | + | 0.632119i | ||||
\(892\) | − | 42.4464i | − | 1.42121i | ||||||
\(893\) | −40.3010 | − | 40.1113i | −1.34862 | − | 1.34227i | ||||
\(894\) | −4.63917 | − | 11.5242i | −0.155157 | − | 0.385426i | ||||
\(895\) | 11.9421 | − | 2.10572i | 0.399181 | − | 0.0703863i | ||||
\(896\) | −10.1376 | + | 8.50644i | −0.338673 | + | 0.284180i | ||||
\(897\) | −9.79922 | + | 8.80091i | −0.327186 | + | 0.293854i | ||||
\(898\) | −2.37931 | − | 13.4938i | −0.0793987 | − | 0.450293i | ||||
\(899\) | 2.41438 | + | 0.425721i | 0.0805242 | + | 0.0141986i | ||||
\(900\) | −15.9103 | − | 64.5053i | −0.530343 | − | 2.15018i | ||||
\(901\) | −17.8957 | + | 10.3321i | −0.596192 | + | 0.344212i | ||||
\(902\) | −47.1159 | − | 8.30780i | −1.56879 | − | 0.276620i | ||||
\(903\) | −9.58632 | − | 3.12815i | −0.319013 | − | 0.104098i | ||||
\(904\) | 13.3130 | − | 23.0588i | 0.442783 | − | 0.766923i | ||||
\(905\) | 35.1976 | 1.17001 | ||||||||
\(906\) | 62.8676 | + | 69.9989i | 2.08864 | + | 2.32556i | ||||
\(907\) | 52.6889 | − | 9.29047i | 1.74951 | − | 0.308485i | 0.794985 | − | 0.606629i | \(-0.207479\pi\) |
0.954521 | + | 0.298144i | \(0.0963675\pi\) | |||||||
\(908\) | 8.38790 | + | 7.03829i | 0.278362 | + | 0.233574i | ||||
\(909\) | −16.7539 | − | 37.8867i | −0.555692 | − | 1.25662i | ||||
\(910\) | 58.4376 | + | 21.2696i | 1.93719 | + | 0.705079i | ||||
\(911\) | −9.83192 | + | 17.0294i | −0.325746 | + | 0.564209i | −0.981663 | − | 0.190624i | \(-0.938949\pi\) |
0.655917 | + | 0.754833i | \(0.272282\pi\) | |||||||
\(912\) | −25.9467 | + | 61.3136i | −0.859180 | + | 2.03030i | ||||
\(913\) | 3.14722 | + | 5.45114i | 0.104158 | + | 0.180406i | ||||
\(914\) | 1.90496 | + | 10.8036i | 0.0630105 | + | 0.357351i | ||||
\(915\) | 8.77856 | − | 5.47008i | 0.290210 | − | 0.180835i | ||||
\(916\) | 1.19218 | − | 0.433920i | 0.0393909 | − | 0.0143371i | ||||
\(917\) | 33.6645 | + | 40.1197i | 1.11170 | + | 1.32487i | ||||
\(918\) | −30.7080 | − | 63.5700i | −1.01352 | − | 2.09812i | ||||
\(919\) | −15.6398 | + | 27.0890i | −0.515910 | + | 0.893583i | 0.483919 | + | 0.875113i | \(0.339213\pi\) |
−0.999829 | + | 0.0184703i | \(0.994120\pi\) | |||||||
\(920\) | 65.9853 | 2.17547 | ||||||||
\(921\) | 6.25030 | + | 6.95928i | 0.205954 | + | 0.229316i | ||||
\(922\) | 13.7889 | − | 16.4330i | 0.454113 | − | 0.541191i | ||||
\(923\) | −16.0835 | − | 9.28583i | −0.529396 | − | 0.305647i | ||||
\(924\) | −52.6612 | + | 67.2283i | −1.73243 | + | 2.21165i | ||||
\(925\) | −21.1848 | + | 25.2471i | −0.696553 | + | 0.830120i | ||||
\(926\) | 44.9084 | − | 37.6826i | 1.47578 | − | 1.23833i | ||||
\(927\) | 24.2226 | − | 16.2496i | 0.795574 | − | 0.533707i | ||||
\(928\) | −4.70209 | − | 26.6669i | −0.154354 | − | 0.875384i | ||||
\(929\) | −9.93037 | − | 11.8346i | −0.325805 | − | 0.388279i | 0.578133 | − | 0.815942i | \(-0.303781\pi\) |
−0.903938 | + | 0.427663i | \(0.859337\pi\) | |||||||
\(930\) | 8.73705 | + | 6.84389i | 0.286499 | + | 0.224420i | ||||
\(931\) | 9.07275 | − | 4.25678i | 0.297347 | − | 0.139510i | ||||
\(932\) | −68.7788 | + | 39.7094i | −2.25292 | + | 1.30073i | ||||
\(933\) | 16.7657 | − | 10.4470i | 0.548886 | − | 0.342020i | ||||
\(934\) | −4.83901 | + | 13.2951i | −0.158337 | + | 0.435028i | ||||
\(935\) | −35.9600 | + | 42.8555i | −1.17602 | + | 1.40152i | ||||
\(936\) | 21.5936 | + | 48.8311i | 0.705810 | + | 1.59610i | ||||
\(937\) | 0.771674 | − | 4.37638i | 0.0252095 | − | 0.142970i | −0.969605 | − | 0.244675i | \(-0.921319\pi\) |
0.994815 | + | 0.101705i | \(0.0324298\pi\) | |||||||
\(938\) | 4.39008 | − | 2.53461i | 0.143341 | − | 0.0827581i | ||||
\(939\) | 48.1365 | − | 19.3778i | 1.57087 | − | 0.632372i | ||||
\(940\) | 146.773 | + | 123.157i | 4.78721 | + | 4.01695i | ||||
\(941\) | −0.0630043 | − | 0.0528669i | −0.00205388 | − | 0.00172341i | 0.641760 | − | 0.766905i | \(-0.278204\pi\) |
−0.643814 | + | 0.765182i | \(0.722649\pi\) | |||||||
\(942\) | 42.8825 | + | 33.5906i | 1.39719 | + | 1.09444i | ||||
\(943\) | 14.0353 | − | 8.10327i | 0.457051 | − | 0.263879i | ||||
\(944\) | −1.71597 | + | 9.73175i | −0.0558500 | + | 0.316741i | ||||
\(945\) | −47.4765 | + | 13.4195i | −1.54441 | + | 0.436537i | ||||
\(946\) | −10.9013 | + | 12.9917i | −0.354432 | + | 0.422396i | ||||
\(947\) | −8.94561 | + | 24.5779i | −0.290693 | + | 0.798674i | 0.705272 | + | 0.708937i | \(0.250825\pi\) |
−0.995966 | + | 0.0897368i | \(0.971397\pi\) | |||||||
\(948\) | 1.87698 | + | 55.7655i | 0.0609614 | + | 1.81118i | ||||
\(949\) | −10.1848 | + | 5.88018i | −0.330612 | + | 0.190879i | ||||
\(950\) | 43.5169 | + | 30.3181i | 1.41187 | + | 0.983650i | ||||
\(951\) | 0.737263 | − | 5.19833i | 0.0239074 | − | 0.168567i | ||||
\(952\) | −72.3672 | − | 86.2438i | −2.34543 | − | 2.79518i | ||||
\(953\) | −5.46608 | − | 30.9997i | −0.177064 | − | 1.00418i | −0.935735 | − | 0.352704i | \(-0.885262\pi\) |
0.758671 | − | 0.651474i | \(-0.225849\pi\) | |||||||
\(954\) | −13.5052 | + | 27.5135i | −0.437248 | + | 0.890784i | ||||
\(955\) | −7.48996 | + | 6.28482i | −0.242369 | + | 0.203372i | ||||
\(956\) | −71.7662 | + | 85.5276i | −2.32109 | + | 2.76616i | ||||
\(957\) | 6.84492 | + | 17.0035i | 0.221265 | + | 0.549644i | ||||
\(958\) | 26.4669 | + | 15.2807i | 0.855108 | + | 0.493697i | ||||
\(959\) | 6.40237 | − | 7.63005i | 0.206743 | − | 0.246387i | ||||
\(960\) | 8.52081 | − | 26.1123i | 0.275008 | − | 0.842771i | ||||
\(961\) | 30.3695 | 0.979662 | ||||||||
\(962\) | 22.9903 | − | 39.8203i | 0.741236 | − | 1.28386i | ||||
\(963\) | 1.55442 | + | 2.31711i | 0.0500906 | + | 0.0746679i | ||||
\(964\) | 50.4557 | + | 60.1308i | 1.62507 | + | 1.93668i | ||||
\(965\) | −43.0557 | + | 15.6710i | −1.38601 | + | 0.504467i | ||||
\(966\) | −1.38571 | − | 41.1697i | −0.0445844 | − | 1.32461i | ||||
\(967\) | −2.66022 | − | 15.0869i | −0.0855471 | − | 0.485162i | −0.997237 | − | 0.0742831i | \(-0.976333\pi\) |
0.911690 | − | 0.410878i | \(-0.134778\pi\) | |||||||
\(968\) | 2.63199 | + | 4.55874i | 0.0845953 | + | 0.146523i | ||||
\(969\) | 36.4486 | + | 15.4243i | 1.17090 | + | 0.495500i | ||||
\(970\) | 59.7910 | − | 103.561i | 1.91977 | − | 3.32515i | ||||
\(971\) | −2.39561 | − | 0.871932i | −0.0768789 | − | 0.0279816i | 0.303294 | − | 0.952897i | \(-0.401913\pi\) |
−0.380173 | + | 0.924915i | \(0.624136\pi\) | |||||||
\(972\) | −63.4507 | − | 37.1686i | −2.03518 | − | 1.19218i | ||||
\(973\) | 39.2474 | + | 32.9325i | 1.25822 | + | 1.05577i | ||||
\(974\) | 62.0598 | − | 10.9428i | 1.98852 | − | 0.350631i | ||||
\(975\) | 20.1051 | − | 4.24698i | 0.643878 | − | 0.136012i | ||||
\(976\) | 16.9132 | 0.541378 | ||||||||
\(977\) | −3.05820 | + | 5.29696i | −0.0978405 | + | 0.169465i | −0.910791 | − | 0.412869i | \(-0.864527\pi\) |
0.812950 | + | 0.582333i | \(0.197860\pi\) | |||||||
\(978\) | −17.4830 | − | 82.7643i | −0.559046 | − | 2.64651i | ||||
\(979\) | −39.4631 | − | 6.95841i | −1.26125 | − | 0.222392i | ||||
\(980\) | −29.2454 | + | 16.8848i | −0.934209 | + | 0.539366i | ||||
\(981\) | −35.3785 | + | 8.72615i | −1.12955 | + | 0.278604i | ||||
\(982\) | 52.0265 | + | 9.17368i | 1.66023 | + | 0.292744i | ||||
\(983\) | −0.919088 | − | 5.21241i | −0.0293144 | − | 0.166250i | 0.966636 | − | 0.256154i | \(-0.0824553\pi\) |
−0.995950 | + | 0.0899035i | \(0.971344\pi\) | |||||||
\(984\) | −13.5781 | − | 64.2785i | −0.432855 | − | 2.04912i | ||||
\(985\) | −20.5817 | + | 17.2701i | −0.655787 | + | 0.550270i | ||||
\(986\) | −41.3126 | + | 7.28453i | −1.31566 | + | 0.231987i | ||||
\(987\) | 42.4870 | − | 54.2397i | 1.35237 | − | 1.72647i | ||||
\(988\) | −47.1460 | − | 21.8493i | −1.49992 | − | 0.695119i | ||||
\(989\) | − | 5.74494i | − | 0.182678i | ||||||
\(990\) | −8.88151 | + | 82.5001i | −0.282273 | + | 2.62203i | ||||
\(991\) | 18.6249 | − | 3.28407i | 0.591639 | − | 0.104322i | 0.130191 | − | 0.991489i | \(-0.458441\pi\) |
0.461449 | + | 0.887167i | \(0.347330\pi\) | |||||||
\(992\) | 2.38172 | + | 6.54372i | 0.0756197 | + | 0.207763i | ||||
\(993\) | −31.5823 | + | 19.6795i | −1.00223 | + | 0.624510i | ||||
\(994\) | 54.5801 | − | 19.8655i | 1.73118 | − | 0.630096i | ||||
\(995\) | 55.5107i | 1.75981i | ||||||||
\(996\) | −9.25300 | + | 11.8126i | −0.293193 | + | 0.374296i | ||||
\(997\) | −6.82975 | + | 38.7334i | −0.216300 | + | 1.22670i | 0.662335 | + | 0.749208i | \(0.269565\pi\) |
−0.878636 | + | 0.477493i | \(0.841546\pi\) | |||||||
\(998\) | −90.1771 | + | 32.8218i | −2.85451 | + | 1.03896i | ||||
\(999\) | 3.67578 | + | 36.2928i | 0.116297 | + | 1.14825i |
(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 | 171.2.x.a.110.17 | yes | 108 | |
3.2 | odd | 2 | 513.2.bo.a.224.2 | 108 | |||
9.4 | even | 3 | 513.2.cd.a.395.17 | 108 | |||
9.5 | odd | 6 | 171.2.bd.a.167.2 | yes | 108 | ||
19.14 | odd | 18 | 171.2.bd.a.128.2 | yes | 108 | ||
57.14 | even | 18 | 513.2.cd.a.413.17 | 108 | |||
171.14 | even | 18 | inner | 171.2.x.a.14.17 | ✓ | 108 | |
171.166 | odd | 18 | 513.2.bo.a.71.2 | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.x.a.14.17 | ✓ | 108 | 171.14 | even | 18 | inner | |
171.2.x.a.110.17 | yes | 108 | 1.1 | even | 1 | trivial | |
171.2.bd.a.128.2 | yes | 108 | 19.14 | odd | 18 | ||
171.2.bd.a.167.2 | yes | 108 | 9.5 | odd | 6 | ||
513.2.bo.a.71.2 | 108 | 171.166 | odd | 18 | |||
513.2.bo.a.224.2 | 108 | 3.2 | odd | 2 | |||
513.2.cd.a.395.17 | 108 | 9.4 | even | 3 | |||
513.2.cd.a.413.17 | 108 | 57.14 | even | 18 |