Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(20,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bh (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 20.1 | ||
Character | \(\chi\) | \(=\) | 441.20 |
Dual form | 441.2.bh.a.419.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{13}{14}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.54230 | − | 2.26214i | −1.09057 | − | 1.59957i | −0.752678 | − | 0.658388i | \(-0.771238\pi\) |
−0.337892 | − | 0.941185i | \(-0.609714\pi\) | |||||||
\(3\) | −1.06685 | − | 1.36449i | −0.615948 | − | 0.787787i | ||||
\(4\) | −2.00790 | + | 5.11604i | −1.00395 | + | 2.55802i | ||||
\(5\) | 2.32352 | − | 2.15591i | 1.03911 | − | 0.964152i | 0.0397235 | − | 0.999211i | \(-0.487352\pi\) |
0.999385 | + | 0.0350586i | \(0.0111618\pi\) | |||||||
\(6\) | −1.44125 | + | 4.51782i | −0.588387 | + | 1.84439i | ||||
\(7\) | 2.26676 | − | 1.36447i | 0.856756 | − | 0.515723i | ||||
\(8\) | 9.33151 | − | 2.12986i | 3.29919 | − | 0.753018i | ||||
\(9\) | −0.723646 | + | 2.91141i | −0.241215 | + | 0.970472i | ||||
\(10\) | −8.46053 | − | 1.93106i | −2.67545 | − | 0.610655i | ||||
\(11\) | −2.11931 | − | 3.10845i | −0.638995 | − | 0.937234i | −0.999989 | − | 0.00466597i | \(-0.998515\pi\) |
0.360994 | − | 0.932568i | \(-0.382438\pi\) | |||||||
\(12\) | 9.12290 | − | 2.71832i | 2.63356 | − | 0.784711i | ||||
\(13\) | −4.09624 | + | 0.306971i | −1.13609 | + | 0.0851383i | −0.629466 | − | 0.777028i | \(-0.716726\pi\) |
−0.506626 | + | 0.862166i | \(0.669107\pi\) | |||||||
\(14\) | −6.58265 | − | 3.02330i | −1.75929 | − | 0.808011i | ||||
\(15\) | −5.42056 | − | 0.870368i | −1.39958 | − | 0.224728i | ||||
\(16\) | −11.1524 | − | 10.3479i | −2.78809 | − | 2.58697i | ||||
\(17\) | 1.66722 | − | 2.09062i | 0.404360 | − | 0.507051i | −0.537405 | − | 0.843324i | \(-0.680595\pi\) |
0.941764 | + | 0.336273i | \(0.109167\pi\) | |||||||
\(18\) | 7.70210 | − | 2.85329i | 1.81540 | − | 0.672526i | ||||
\(19\) | − | 3.18744i | − | 0.731249i | −0.930762 | − | 0.365625i | \(-0.880855\pi\) | ||
0.930762 | − | 0.365625i | \(-0.119145\pi\) | |||||||
\(20\) | 6.36434 | + | 16.2161i | 1.42311 | + | 3.62602i | ||||
\(21\) | −4.28011 | − | 1.63727i | −0.933997 | − | 0.357282i | ||||
\(22\) | −3.76314 | + | 9.58834i | −0.802305 | + | 2.04424i | ||||
\(23\) | −0.232955 | − | 0.0914282i | −0.0485745 | − | 0.0190641i | 0.340929 | − | 0.940089i | \(-0.389258\pi\) |
−0.389504 | + | 0.921025i | \(0.627354\pi\) | |||||||
\(24\) | −12.8615 | − | 10.4605i | −2.62535 | − | 2.13524i | ||||
\(25\) | 0.377139 | − | 5.03257i | 0.0754278 | − | 1.00651i | ||||
\(26\) | 7.01204 | + | 8.79282i | 1.37517 | + | 1.72441i | ||||
\(27\) | 4.74461 | − | 2.11865i | 0.913101 | − | 0.407734i | ||||
\(28\) | 2.42928 | + | 14.3366i | 0.459090 | + | 2.70936i | ||||
\(29\) | −5.07188 | + | 1.99057i | −0.941824 | + | 0.369639i | −0.786056 | − | 0.618155i | \(-0.787880\pi\) |
−0.155768 | + | 0.987794i | \(0.549785\pi\) | |||||||
\(30\) | 6.39124 | + | 13.6044i | 1.16688 | + | 2.48382i | ||||
\(31\) | −1.12367 | + | 0.648750i | −0.201817 | + | 0.116519i | −0.597503 | − | 0.801867i | \(-0.703840\pi\) |
0.395686 | + | 0.918386i | \(0.370507\pi\) | |||||||
\(32\) | −3.35494 | + | 22.2586i | −0.593076 | + | 3.93480i | ||||
\(33\) | −1.98045 | + | 6.20803i | −0.344752 | + | 1.08068i | ||||
\(34\) | −7.30063 | − | 0.547107i | −1.25205 | − | 0.0938280i | ||||
\(35\) | 2.32518 | − | 8.05731i | 0.393027 | − | 1.36193i | ||||
\(36\) | −13.4419 | − | 9.54803i | −2.24032 | − | 1.59134i | ||||
\(37\) | −0.661343 | + | 0.829298i | −0.108724 | + | 0.136336i | −0.833216 | − | 0.552947i | \(-0.813503\pi\) |
0.724492 | + | 0.689283i | \(0.242074\pi\) | |||||||
\(38\) | −7.21043 | + | 4.91599i | −1.16969 | + | 0.797479i | ||||
\(39\) | 4.78894 | + | 5.26177i | 0.766845 | + | 0.842557i | ||||
\(40\) | 17.0902 | − | 25.0667i | 2.70219 | − | 3.96339i | ||||
\(41\) | 4.00020 | − | 3.71164i | 0.624726 | − | 0.579661i | −0.302969 | − | 0.953000i | \(-0.597978\pi\) |
0.927695 | + | 0.373340i | \(0.121787\pi\) | |||||||
\(42\) | 2.89748 | + | 12.2074i | 0.447090 | + | 1.88364i | ||||
\(43\) | 6.02565 | + | 5.59099i | 0.918903 | + | 0.852617i | 0.989448 | − | 0.144891i | \(-0.0462832\pi\) |
−0.0705446 | + | 0.997509i | \(0.522474\pi\) | |||||||
\(44\) | 20.1583 | − | 4.60101i | 3.03898 | − | 0.693628i | ||||
\(45\) | 4.59534 | + | 8.32484i | 0.685033 | + | 1.24099i | ||||
\(46\) | 0.152464 | + | 0.667987i | 0.0224795 | + | 0.0984893i | ||||
\(47\) | 3.97416 | − | 2.70954i | 0.579691 | − | 0.395227i | −0.237676 | − | 0.971345i | \(-0.576385\pi\) |
0.817367 | + | 0.576118i | \(0.195433\pi\) | |||||||
\(48\) | −2.22160 | + | 26.2570i | −0.320661 | + | 3.78987i | ||||
\(49\) | 3.27642 | − | 6.18588i | 0.468060 | − | 0.883696i | ||||
\(50\) | −11.9660 | + | 6.90859i | −1.69225 | + | 0.977022i | ||||
\(51\) | −4.63131 | − | 0.0445048i | −0.648513 | − | 0.00623192i | ||||
\(52\) | 6.65436 | − | 21.5729i | 0.922793 | − | 2.99162i | ||||
\(53\) | −9.63756 | + | 7.68570i | −1.32382 | + | 1.05571i | −0.330085 | + | 0.943951i | \(0.607077\pi\) |
−0.993735 | + | 0.111760i | \(0.964351\pi\) | |||||||
\(54\) | −12.1103 | − | 7.46537i | −1.64800 | − | 1.01591i | ||||
\(55\) | −11.6258 | − | 2.65351i | −1.56762 | − | 0.357800i | ||||
\(56\) | 18.2462 | − | 17.5605i | 2.43825 | − | 2.34662i | ||||
\(57\) | −4.34922 | + | 3.40053i | −0.576068 | + | 0.450412i | ||||
\(58\) | 12.3253 | + | 8.40324i | 1.61839 | + | 1.10340i | ||||
\(59\) | 2.10667 | − | 0.649823i | 0.274266 | − | 0.0845997i | −0.154571 | − | 0.987982i | \(-0.549400\pi\) |
0.428837 | + | 0.903382i | \(0.358923\pi\) | |||||||
\(60\) | 15.3368 | − | 25.9842i | 1.97997 | − | 3.35455i | ||||
\(61\) | −6.61668 | + | 2.59686i | −0.847179 | + | 0.332493i | −0.748914 | − | 0.662667i | \(-0.769424\pi\) |
−0.0982649 | + | 0.995160i | \(0.531329\pi\) | |||||||
\(62\) | 3.20059 | + | 1.54133i | 0.406476 | + | 0.195748i | ||||
\(63\) | 2.33222 | + | 7.58688i | 0.293832 | + | 0.955857i | ||||
\(64\) | 28.1124 | − | 13.5382i | 3.51404 | − | 1.69227i | ||||
\(65\) | −8.85588 | + | 9.54437i | −1.09844 | + | 1.18383i | ||||
\(66\) | 17.0979 | − | 5.09459i | 2.10460 | − | 0.627101i | ||||
\(67\) | −5.13635 | − | 8.89641i | −0.627504 | − | 1.08687i | −0.988051 | − | 0.154128i | \(-0.950743\pi\) |
0.360546 | − | 0.932741i | \(-0.382590\pi\) | |||||||
\(68\) | 7.34812 | + | 12.7273i | 0.891091 | + | 1.54341i | ||||
\(69\) | 0.123777 | + | 0.415405i | 0.0149010 | + | 0.0500089i | ||||
\(70\) | −21.8129 | + | 7.16691i | −2.60714 | + | 0.856610i | ||||
\(71\) | 8.30887 | − | 6.62610i | 0.986081 | − | 0.786373i | 0.00915638 | − | 0.999958i | \(-0.497085\pi\) |
0.976925 | + | 0.213585i | \(0.0685140\pi\) | |||||||
\(72\) | −0.551816 | + | 28.7092i | −0.0650321 | + | 3.38341i | ||||
\(73\) | 4.44699 | + | 9.23428i | 0.520481 | + | 1.08079i | 0.981155 | + | 0.193221i | \(0.0618935\pi\) |
−0.460674 | + | 0.887569i | \(0.652392\pi\) | |||||||
\(74\) | 2.89598 | + | 0.217023i | 0.336650 | + | 0.0252285i | ||||
\(75\) | −7.26923 | + | 4.85442i | −0.839378 | + | 0.560540i | ||||
\(76\) | 16.3071 | + | 6.40006i | 1.87055 | + | 0.734137i | ||||
\(77\) | −9.04537 | − | 4.15439i | −1.03082 | − | 0.473436i | ||||
\(78\) | 4.51686 | − | 18.9485i | 0.511434 | − | 2.14549i | ||||
\(79\) | −4.55087 | + | 7.88234i | −0.512013 | + | 0.886832i | 0.487890 | + | 0.872905i | \(0.337767\pi\) |
−0.999903 | + | 0.0139271i | \(0.995567\pi\) | |||||||
\(80\) | −48.2219 | −5.39137 | ||||||||
\(81\) | −7.95267 | − | 4.21367i | −0.883630 | − | 0.468185i | ||||
\(82\) | −14.5657 | − | 3.32454i | −1.60852 | − | 0.367134i | ||||
\(83\) | 0.279923 | − | 3.73531i | 0.0307255 | − | 0.410004i | −0.960542 | − | 0.278136i | \(-0.910283\pi\) |
0.991267 | − | 0.131868i | \(-0.0420975\pi\) | |||||||
\(84\) | 16.9704 | − | 18.6097i | 1.85162 | − | 2.03049i | ||||
\(85\) | −0.633388 | − | 8.45198i | −0.0687006 | − | 0.916745i | ||||
\(86\) | 3.35422 | − | 22.2538i | 0.361695 | − | 2.39969i | ||||
\(87\) | 8.12705 | + | 4.79687i | 0.871311 | + | 0.514278i | ||||
\(88\) | −26.3969 | − | 24.4928i | −2.81392 | − | 2.61094i | ||||
\(89\) | −6.96227 | + | 3.35285i | −0.737999 | + | 0.355402i | −0.764825 | − | 0.644238i | \(-0.777174\pi\) |
0.0268254 | + | 0.999640i | \(0.491460\pi\) | |||||||
\(90\) | 11.7445 | − | 23.2347i | 1.23798 | − | 2.44915i | ||||
\(91\) | −8.86635 | + | 6.28504i | −0.929446 | + | 0.658851i | ||||
\(92\) | 0.935501 | − | 1.00823i | 0.0975328 | − | 0.105115i | ||||
\(93\) | 2.08400 | + | 0.841108i | 0.216101 | + | 0.0872189i | ||||
\(94\) | −12.2587 | − | 4.81118i | −1.26439 | − | 0.496236i | ||||
\(95\) | −6.87184 | − | 7.40608i | −0.705035 | − | 0.759848i | ||||
\(96\) | 33.9508 | − | 19.1689i | 3.46509 | − | 1.95642i | ||||
\(97\) | 6.69400 | + | 3.86478i | 0.679672 | + | 0.392409i | 0.799732 | − | 0.600358i | \(-0.204975\pi\) |
−0.120059 | + | 0.992767i | \(0.538308\pi\) | |||||||
\(98\) | −19.0465 | + | 2.12875i | −1.92399 | + | 0.215036i | ||||
\(99\) | 10.5836 | − | 3.92076i | 1.06369 | − | 0.394052i | ||||
\(100\) | 24.9896 | + | 12.0343i | 2.49896 | + | 1.20343i | ||||
\(101\) | −8.64739 | − | 2.66737i | −0.860447 | − | 0.265413i | −0.167032 | − | 0.985951i | \(-0.553418\pi\) |
−0.693415 | + | 0.720539i | \(0.743895\pi\) | |||||||
\(102\) | 7.04219 | + | 10.5453i | 0.697280 | + | 1.04414i | ||||
\(103\) | 3.09527 | + | 3.33591i | 0.304986 | + | 0.328697i | 0.866884 | − | 0.498509i | \(-0.166119\pi\) |
−0.561898 | + | 0.827207i | \(0.689929\pi\) | |||||||
\(104\) | −37.5703 | + | 11.5889i | −3.68407 | + | 1.13639i | ||||
\(105\) | −13.4747 | + | 5.42330i | −1.31500 | + | 0.529260i | ||||
\(106\) | 32.2501 | + | 9.94784i | 3.13241 | + | 0.966220i | ||||
\(107\) | −1.10874 | − | 2.30231i | −0.107185 | − | 0.222573i | 0.840477 | − | 0.541848i | \(-0.182275\pi\) |
−0.947662 | + | 0.319275i | \(0.896561\pi\) | |||||||
\(108\) | 1.31240 | + | 28.5277i | 0.126286 | + | 2.74508i | ||||
\(109\) | 4.10020 | + | 1.97455i | 0.392728 | + | 0.189128i | 0.619817 | − | 0.784746i | \(-0.287207\pi\) |
−0.227089 | + | 0.973874i | \(0.572921\pi\) | |||||||
\(110\) | 11.9279 | + | 30.3917i | 1.13728 | + | 2.89773i | ||||
\(111\) | 1.83712 | + | 0.0176539i | 0.174372 | + | 0.00167564i | ||||
\(112\) | −39.3992 | − | 8.23909i | −3.72288 | − | 0.778521i | ||||
\(113\) | 9.66280 | − | 14.1727i | 0.908999 | − | 1.33326i | −0.0336362 | − | 0.999434i | \(-0.510709\pi\) |
0.942636 | − | 0.333823i | \(-0.108339\pi\) | |||||||
\(114\) | 14.4003 | + | 4.59390i | 1.34871 | + | 0.430258i | ||||
\(115\) | −0.738387 | + | 0.289795i | −0.0688549 | + | 0.0270236i | ||||
\(116\) | − | 29.9448i | − | 2.78030i | ||||||
\(117\) | 2.07051 | − | 12.1480i | 0.191419 | − | 1.12308i | ||||
\(118\) | −4.71911 | − | 3.76337i | −0.434429 | − | 0.346446i | ||||
\(119\) | 0.926584 | − | 7.01382i | 0.0849398 | − | 0.642956i | ||||
\(120\) | −52.4358 | + | 3.42317i | −4.78671 | + | 0.312491i | ||||
\(121\) | −1.15227 | + | 2.93594i | −0.104752 | + | 0.266903i | ||||
\(122\) | 16.0793 | + | 10.9627i | 1.45576 | + | 0.992518i | ||||
\(123\) | −9.33211 | − | 1.49844i | −0.841448 | − | 0.135110i | ||||
\(124\) | −1.06282 | − | 7.05136i | −0.0954441 | − | 0.633230i | ||||
\(125\) | −0.0922539 | − | 0.115683i | −0.00825144 | − | 0.0103470i | ||||
\(126\) | 13.5656 | − | 16.9770i | 1.20852 | − | 1.51243i | ||||
\(127\) | 1.57589 | − | 1.97610i | 0.139838 | − | 0.175351i | −0.706981 | − | 0.707232i | \(-0.749943\pi\) |
0.846819 | + | 0.531882i | \(0.178515\pi\) | |||||||
\(128\) | −34.9944 | − | 20.2041i | −3.09310 | − | 1.78580i | ||||
\(129\) | 1.20034 | − | 14.1867i | 0.105684 | − | 1.24907i | ||||
\(130\) | 35.2491 | + | 5.31295i | 3.09155 | + | 0.465976i | ||||
\(131\) | 12.8507 | − | 3.96391i | 1.12277 | − | 0.346328i | 0.322858 | − | 0.946447i | \(-0.395356\pi\) |
0.799911 | + | 0.600119i | \(0.204880\pi\) | |||||||
\(132\) | −27.7840 | − | 22.5972i | −2.41829 | − | 1.96683i | ||||
\(133\) | −4.34918 | − | 7.22517i | −0.377122 | − | 0.626502i | ||||
\(134\) | −12.2031 | + | 25.3401i | −1.05419 | + | 2.18905i | ||||
\(135\) | 6.45657 | − | 15.1517i | 0.555693 | − | 1.30405i | ||||
\(136\) | 11.1049 | − | 23.0596i | 0.952240 | − | 1.97735i | ||||
\(137\) | 8.02735 | − | 8.65142i | 0.685822 | − | 0.739141i | −0.290163 | − | 0.956977i | \(-0.593709\pi\) |
0.975985 | + | 0.217837i | \(0.0699000\pi\) | |||||||
\(138\) | 0.748803 | − | 0.920679i | 0.0637423 | − | 0.0783734i | ||||
\(139\) | −2.07153 | − | 2.23257i | −0.175704 | − | 0.189364i | 0.639059 | − | 0.769158i | \(-0.279324\pi\) |
−0.814764 | + | 0.579793i | \(0.803133\pi\) | |||||||
\(140\) | 36.5528 | + | 28.0740i | 3.08928 | + | 2.37269i | ||||
\(141\) | −7.93698 | − | 2.53201i | −0.668414 | − | 0.213234i | ||||
\(142\) | −27.8039 | − | 8.57637i | −2.33325 | − | 0.719713i | ||||
\(143\) | 9.63540 | + | 12.0824i | 0.805752 | + | 1.01038i | ||||
\(144\) | 38.1974 | − | 24.9810i | 3.18312 | − | 2.08175i | ||||
\(145\) | −7.49312 | + | 15.5596i | −0.622270 | + | 1.29216i | ||||
\(146\) | 14.0306 | − | 24.3017i | 1.16118 | − | 2.01123i | ||||
\(147\) | −11.9360 | + | 2.12879i | −0.984465 | + | 0.175580i | ||||
\(148\) | −2.91481 | − | 5.04861i | −0.239596 | − | 0.414993i | ||||
\(149\) | 0.505616 | − | 0.0378907i | 0.0414217 | − | 0.00310412i | −0.0540031 | − | 0.998541i | \(-0.517198\pi\) |
0.0954248 | + | 0.995437i | \(0.469579\pi\) | |||||||
\(150\) | 22.1927 | + | 8.95703i | 1.81202 | + | 0.731338i | ||||
\(151\) | −3.14541 | + | 0.474095i | −0.255970 | + | 0.0385813i | −0.275774 | − | 0.961223i | \(-0.588934\pi\) |
0.0198035 | + | 0.999804i | \(0.493696\pi\) | |||||||
\(152\) | −6.78880 | − | 29.7437i | −0.550644 | − | 2.41253i | ||||
\(153\) | 4.88020 | + | 6.36684i | 0.394541 | + | 0.514728i | ||||
\(154\) | 4.55288 | + | 26.8692i | 0.366881 | + | 2.16518i | ||||
\(155\) | −1.21222 | + | 3.92991i | −0.0973676 | + | 0.315658i | ||||
\(156\) | −36.5351 | + | 13.9353i | −2.92515 | + | 1.11572i | ||||
\(157\) | −2.34742 | − | 7.61015i | −0.187344 | − | 0.607356i | −0.999707 | − | 0.0242032i | \(-0.992295\pi\) |
0.812363 | − | 0.583153i | \(-0.198181\pi\) | |||||||
\(158\) | 24.8497 | − | 1.86223i | 1.97694 | − | 0.148151i | ||||
\(159\) | 20.7689 | + | 4.95080i | 1.64708 | + | 0.392624i | ||||
\(160\) | 40.1923 | + | 58.9512i | 3.17748 | + | 4.66050i | ||||
\(161\) | −0.652806 | + | 0.110615i | −0.0514483 | + | 0.00871771i | ||||
\(162\) | 2.73351 | + | 24.4888i | 0.214765 | + | 1.92402i | ||||
\(163\) | −0.945061 | + | 4.14058i | −0.0740229 | + | 0.324315i | −0.998359 | − | 0.0572636i | \(-0.981762\pi\) |
0.924336 | + | 0.381579i | \(0.124620\pi\) | |||||||
\(164\) | 10.9569 | + | 27.9178i | 0.855592 | + | 2.18001i | ||||
\(165\) | 8.78234 | + | 18.6942i | 0.683705 | + | 1.45534i | ||||
\(166\) | −8.88151 | + | 5.12774i | −0.689339 | + | 0.397990i | ||||
\(167\) | 21.0215 | + | 3.16848i | 1.62669 | + | 0.245184i | 0.898108 | − | 0.439774i | \(-0.144942\pi\) |
0.728582 | + | 0.684959i | \(0.240180\pi\) | |||||||
\(168\) | −43.4271 | − | 6.16221i | −3.35047 | − | 0.475425i | ||||
\(169\) | 3.83014 | − | 0.577301i | 0.294626 | − | 0.0444077i | ||||
\(170\) | −18.1427 | + | 14.4683i | −1.39148 | + | 1.10967i | ||||
\(171\) | 9.27996 | + | 2.30658i | 0.709657 | + | 0.176389i | ||||
\(172\) | −40.7026 | + | 19.6013i | −3.10355 | + | 1.49459i | ||||
\(173\) | 4.19150 | − | 0.631767i | 0.318674 | − | 0.0480323i | 0.0122423 | − | 0.999925i | \(-0.496103\pi\) |
0.306431 | + | 0.951893i | \(0.400865\pi\) | |||||||
\(174\) | −1.68318 | − | 25.7827i | −0.127601 | − | 1.95458i | ||||
\(175\) | −6.01192 | − | 11.9222i | −0.454459 | − | 0.901236i | ||||
\(176\) | −8.53063 | + | 56.5970i | −0.643021 | + | 4.26616i | ||||
\(177\) | −3.13419 | − | 2.18126i | −0.235580 | − | 0.163954i | ||||
\(178\) | 18.3225 | + | 10.5785i | 1.37333 | + | 0.792893i | ||||
\(179\) | −16.0736 | − | 12.8182i | −1.20140 | − | 0.958081i | −0.201624 | − | 0.979463i | \(-0.564622\pi\) |
−0.999771 | + | 0.0213820i | \(0.993193\pi\) | |||||||
\(180\) | −51.8172 | + | 6.79453i | −3.86223 | + | 0.506434i | ||||
\(181\) | −0.703971 | − | 1.46181i | −0.0523258 | − | 0.108656i | 0.873167 | − | 0.487422i | \(-0.162063\pi\) |
−0.925492 | + | 0.378766i | \(0.876348\pi\) | |||||||
\(182\) | 27.8922 | + | 10.3635i | 2.06751 | + | 0.768193i | ||||
\(183\) | 10.6024 | + | 6.25790i | 0.783752 | + | 0.462598i | ||||
\(184\) | −2.36856 | − | 0.357002i | −0.174612 | − | 0.0263186i | ||||
\(185\) | 0.251249 | + | 3.35269i | 0.0184722 | + | 0.246494i | ||||
\(186\) | −1.31145 | − | 6.01154i | −0.0961601 | − | 0.440787i | ||||
\(187\) | −10.0320 | − | 0.751792i | −0.733610 | − | 0.0549764i | ||||
\(188\) | 5.88239 | + | 25.7725i | 0.429018 | + | 1.87965i | ||||
\(189\) | 7.86406 | − | 11.2764i | 0.572026 | − | 0.820235i | ||||
\(190\) | −6.15514 | + | 26.9674i | −0.446541 | + | 1.95642i | ||||
\(191\) | 4.21387 | − | 13.6610i | 0.304905 | − | 0.988478i | −0.665378 | − | 0.746506i | \(-0.731730\pi\) |
0.970283 | − | 0.241972i | \(-0.0777941\pi\) | |||||||
\(192\) | −48.4645 | − | 23.9157i | −3.49762 | − | 1.72596i | ||||
\(193\) | −2.70177 | + | 2.50688i | −0.194478 | + | 0.180449i | −0.771401 | − | 0.636349i | \(-0.780444\pi\) |
0.576923 | + | 0.816798i | \(0.304253\pi\) | |||||||
\(194\) | −1.58148 | − | 21.1034i | −0.113544 | − | 1.51514i | ||||
\(195\) | 22.4711 | + | 1.90128i | 1.60919 | + | 0.136154i | ||||
\(196\) | 25.0685 | + | 29.1829i | 1.79061 | + | 2.08449i | ||||
\(197\) | − | 18.0105i | − | 1.28319i | −0.767042 | − | 0.641597i | \(-0.778272\pi\) | ||
0.767042 | − | 0.641597i | \(-0.221728\pi\) | |||||||
\(198\) | −25.1924 | − | 17.8946i | −1.79035 | − | 1.27172i | ||||
\(199\) | 26.4801 | − | 6.04392i | 1.87713 | − | 0.428442i | 0.878357 | − | 0.478006i | \(-0.158640\pi\) |
0.998771 | + | 0.0495638i | \(0.0157831\pi\) | |||||||
\(200\) | −7.19938 | − | 47.7647i | −0.509073 | − | 3.37748i | ||||
\(201\) | −6.65930 | + | 16.4996i | −0.469711 | + | 1.16380i | ||||
\(202\) | 7.30291 | + | 23.6755i | 0.513831 | + | 1.66580i | ||||
\(203\) | −8.78067 | + | 11.4326i | −0.616282 | + | 0.802410i | ||||
\(204\) | 9.52688 | − | 23.6046i | 0.667015 | − | 1.65265i | ||||
\(205\) | 1.29257 | − | 17.2481i | 0.0902769 | − | 1.20466i | ||||
\(206\) | 2.77245 | − | 12.1469i | 0.193166 | − | 0.846315i | ||||
\(207\) | 0.434763 | − | 0.612068i | 0.0302181 | − | 0.0425417i | ||||
\(208\) | 48.8593 | + | 38.9640i | 3.38778 | + | 2.70167i | ||||
\(209\) | −9.90802 | + | 6.75517i | −0.685352 | + | 0.467265i | ||||
\(210\) | 33.0503 | + | 22.1173i | 2.28069 | + | 1.52624i | ||||
\(211\) | 12.7950 | + | 8.72349i | 0.880845 | + | 0.600550i | 0.917040 | − | 0.398795i | \(-0.130571\pi\) |
−0.0361950 | + | 0.999345i | \(0.511524\pi\) | |||||||
\(212\) | −19.9691 | − | 64.7382i | −1.37148 | − | 4.44624i | ||||
\(213\) | −17.9056 | − | 4.26825i | −1.22687 | − | 0.292456i | ||||
\(214\) | −3.49815 | + | 6.05897i | −0.239128 | + | 0.414183i | ||||
\(215\) | 26.0544 | 1.77689 | ||||||||
\(216\) | 39.7620 | − | 29.8755i | 2.70546 | − | 2.03277i | ||||
\(217\) | −1.66189 | + | 3.00378i | −0.112816 | + | 0.203910i | ||||
\(218\) | −1.85703 | − | 12.3206i | −0.125774 | − | 0.834455i | ||||
\(219\) | 7.85576 | − | 15.9195i | 0.530843 | − | 1.07574i | ||||
\(220\) | 36.9189 | − | 54.1501i | 2.48907 | − | 3.65080i | ||||
\(221\) | −6.18756 | + | 9.07549i | −0.416220 | + | 0.610483i | ||||
\(222\) | −2.79346 | − | 4.18305i | −0.187485 | − | 0.280748i | ||||
\(223\) | −2.91579 | − | 19.3450i | −0.195256 | − | 1.29544i | −0.844787 | − | 0.535103i | \(-0.820273\pi\) |
0.649531 | − | 0.760335i | \(-0.274965\pi\) | |||||||
\(224\) | 22.7664 | + | 55.0327i | 1.52115 | + | 3.67703i | ||||
\(225\) | 14.3790 | + | 4.73981i | 0.958599 | + | 0.315987i | ||||
\(226\) | −46.9636 | −3.12397 | ||||||||
\(227\) | −9.22901 | + | 15.9851i | −0.612551 | + | 1.06097i | 0.378258 | + | 0.925700i | \(0.376523\pi\) |
−0.990809 | + | 0.135269i | \(0.956810\pi\) | |||||||
\(228\) | −8.66448 | − | 29.0787i | −0.573819 | − | 1.92579i | ||||
\(229\) | 5.00256 | + | 16.2179i | 0.330579 | + | 1.07171i | 0.956478 | + | 0.291805i | \(0.0942560\pi\) |
−0.625899 | + | 0.779904i | \(0.715268\pi\) | |||||||
\(230\) | 1.79437 | + | 1.22338i | 0.118317 | + | 0.0806674i | ||||
\(231\) | 3.98149 | + | 16.7744i | 0.261963 | + | 1.10368i | ||||
\(232\) | −43.0887 | + | 29.3774i | −2.82891 | + | 1.92872i | ||||
\(233\) | 0.342293 | + | 0.272970i | 0.0224244 | + | 0.0178828i | 0.634638 | − | 0.772810i | \(-0.281149\pi\) |
−0.612213 | + | 0.790693i | \(0.709721\pi\) | |||||||
\(234\) | −30.6738 | + | 14.0521i | −2.00521 | + | 0.918612i | ||||
\(235\) | 3.39252 | − | 14.8636i | 0.221303 | − | 0.969594i | ||||
\(236\) | −0.905466 | + | 12.0826i | −0.0589408 | + | 0.786511i | ||||
\(237\) | 15.6105 | − | 2.19970i | 1.01401 | − | 0.142886i | ||||
\(238\) | −17.2953 | + | 8.72136i | −1.12109 | + | 0.565322i | ||||
\(239\) | −6.32322 | − | 20.4994i | −0.409015 | − | 1.32599i | −0.892660 | − | 0.450730i | \(-0.851164\pi\) |
0.483645 | − | 0.875264i | \(-0.339312\pi\) | |||||||
\(240\) | 51.4457 | + | 65.7981i | 3.32081 | + | 4.24725i | ||||
\(241\) | −1.50503 | − | 9.98525i | −0.0969478 | − | 0.643207i | −0.983545 | − | 0.180664i | \(-0.942175\pi\) |
0.886597 | − | 0.462543i | \(-0.153063\pi\) | |||||||
\(242\) | 8.41864 | − | 1.92150i | 0.541170 | − | 0.123519i | ||||
\(243\) | 2.73485 | + | 15.3467i | 0.175441 | + | 0.984490i | ||||
\(244\) | − | 39.0654i | − | 2.50091i | ||||||
\(245\) | −5.72336 | − | 21.4367i | −0.365652 | − | 1.36954i | ||||
\(246\) | 11.0032 | + | 23.4216i | 0.701541 | + | 1.49330i | ||||
\(247\) | 0.978451 | + | 13.0565i | 0.0622573 | + | 0.830767i | ||||
\(248\) | −9.10378 | + | 8.44707i | −0.578090 | + | 0.536390i | ||||
\(249\) | −5.39542 | + | 3.60308i | −0.341921 | + | 0.228336i | ||||
\(250\) | −0.119407 | + | 0.387109i | −0.00755198 | + | 0.0244829i | ||||
\(251\) | 1.55797 | − | 6.82593i | 0.0983385 | − | 0.430849i | −0.901660 | − | 0.432445i | \(-0.857651\pi\) |
0.999999 | + | 0.00159608i | \(0.000508048\pi\) | |||||||
\(252\) | −43.4977 | − | 3.30198i | −2.74009 | − | 0.208005i | ||||
\(253\) | 0.209504 | + | 0.917896i | 0.0131714 | + | 0.0577076i | ||||
\(254\) | −6.90071 | − | 0.517137i | −0.432989 | − | 0.0324481i | ||||
\(255\) | −10.8569 | + | 9.88127i | −0.679884 | + | 0.618789i | ||||
\(256\) | 3.60405 | + | 48.0928i | 0.225253 | + | 3.00580i | ||||
\(257\) | −16.4643 | − | 2.48160i | −1.02702 | − | 0.154798i | −0.386139 | − | 0.922441i | \(-0.626191\pi\) |
−0.640878 | + | 0.767643i | \(0.721430\pi\) | |||||||
\(258\) | −33.9435 | + | 19.1648i | −2.11323 | + | 1.19315i | ||||
\(259\) | −0.367552 | + | 2.78221i | −0.0228386 | + | 0.172878i | ||||
\(260\) | −31.0477 | − | 64.4712i | −1.92550 | − | 3.99833i | ||||
\(261\) | −2.12512 | − | 16.2068i | −0.131541 | − | 1.00318i | ||||
\(262\) | −28.7865 | − | 22.9565i | −1.77844 | − | 1.41826i | ||||
\(263\) | −0.781552 | − | 0.451229i | −0.0481926 | − | 0.0278240i | 0.475710 | − | 0.879602i | \(-0.342191\pi\) |
−0.523903 | + | 0.851778i | \(0.675524\pi\) | |||||||
\(264\) | −5.25839 | + | 62.1484i | −0.323631 | + | 3.82497i | ||||
\(265\) | −5.82337 | + | 38.6356i | −0.357727 | + | 2.37336i | ||||
\(266\) | −9.63660 | + | 20.9818i | −0.590858 | + | 1.28648i | ||||
\(267\) | 12.0026 | + | 5.92292i | 0.734550 | + | 0.362477i | ||||
\(268\) | 55.8277 | − | 8.41467i | 3.41022 | − | 0.514008i | ||||
\(269\) | −18.7024 | + | 9.00662i | −1.14031 | + | 0.549144i | −0.906109 | − | 0.423045i | \(-0.860961\pi\) |
−0.234200 | + | 0.972189i | \(0.575247\pi\) | |||||||
\(270\) | −44.2331 | + | 8.76276i | −2.69194 | + | 0.533284i | ||||
\(271\) | −8.86330 | + | 7.06824i | −0.538407 | + | 0.429365i | −0.854567 | − | 0.519341i | \(-0.826178\pi\) |
0.316160 | + | 0.948706i | \(0.397606\pi\) | |||||||
\(272\) | −40.2270 | + | 6.06325i | −2.43912 | + | 0.367638i | ||||
\(273\) | 18.0349 | + | 5.39279i | 1.09152 | + | 0.326387i | ||||
\(274\) | −31.9513 | − | 4.81588i | −1.93025 | − | 0.290938i | ||||
\(275\) | −16.4428 | + | 9.49325i | −0.991537 | + | 0.572464i | ||||
\(276\) | −2.37376 | − | 0.200844i | −0.142884 | − | 0.0120894i | ||||
\(277\) | −9.50115 | − | 24.2085i | −0.570868 | − | 1.45455i | −0.866466 | − | 0.499237i | \(-0.833614\pi\) |
0.295597 | − | 0.955313i | \(-0.404481\pi\) | |||||||
\(278\) | −1.85548 | + | 8.12937i | −0.111284 | + | 0.487567i | ||||
\(279\) | −1.07564 | − | 3.74093i | −0.0643970 | − | 0.223964i | ||||
\(280\) | 4.53653 | − | 80.1392i | 0.271110 | − | 4.78924i | ||||
\(281\) | 6.60958 | + | 9.69447i | 0.394295 | + | 0.578324i | 0.971134 | − | 0.238533i | \(-0.0766667\pi\) |
−0.576840 | + | 0.816857i | \(0.695714\pi\) | |||||||
\(282\) | 6.51344 | + | 21.8597i | 0.387870 | + | 1.30172i | ||||
\(283\) | 21.2601 | − | 1.59323i | 1.26378 | − | 0.0947075i | 0.574080 | − | 0.818799i | \(-0.305360\pi\) |
0.689704 | + | 0.724091i | \(0.257741\pi\) | |||||||
\(284\) | 17.2160 | + | 55.8130i | 1.02158 | + | 3.31189i | ||||
\(285\) | −2.77425 | + | 17.2777i | −0.164332 | + | 1.02344i | ||||
\(286\) | 12.4714 | − | 40.4313i | 0.737449 | − | 2.39075i | ||||
\(287\) | 4.00306 | − | 13.8716i | 0.236293 | − | 0.818813i | ||||
\(288\) | −62.3762 | − | 25.8750i | −3.67556 | − | 1.52470i | ||||
\(289\) | 2.19176 | + | 9.60272i | 0.128927 | + | 0.564866i | ||||
\(290\) | 46.7547 | − | 7.04713i | 2.74553 | − | 0.413822i | ||||
\(291\) | −1.86807 | − | 13.2570i | −0.109508 | − | 0.777140i | ||||
\(292\) | −56.1721 | + | 4.20952i | −3.28722 | + | 0.246343i | ||||
\(293\) | 13.0007 | + | 22.5178i | 0.759507 | + | 1.31550i | 0.943102 | + | 0.332502i | \(0.107893\pi\) |
−0.183596 | + | 0.983002i | \(0.558774\pi\) | |||||||
\(294\) | 23.2245 | + | 23.7177i | 1.35448 | + | 1.38324i | ||||
\(295\) | 3.49393 | − | 6.05167i | 0.203425 | − | 0.352342i | ||||
\(296\) | −4.40505 | + | 9.14717i | −0.256038 | + | 0.531669i | ||||
\(297\) | −16.6410 | − | 10.2583i | −0.965610 | − | 0.595249i | ||||
\(298\) | −0.865525 | − | 1.08533i | −0.0501385 | − | 0.0628717i | ||||
\(299\) | 0.982306 | + | 0.303001i | 0.0568082 | + | 0.0175230i | ||||
\(300\) | −10.2395 | − | 46.9368i | −0.591179 | − | 2.70990i | ||||
\(301\) | 21.2875 | + | 4.45160i | 1.22699 | + | 0.256586i | ||||
\(302\) | 5.92364 | + | 6.38417i | 0.340867 | + | 0.367367i | ||||
\(303\) | 5.58591 | + | 14.6449i | 0.320902 | + | 0.841329i | ||||
\(304\) | −32.9833 | + | 35.5476i | −1.89172 | + | 2.03879i | ||||
\(305\) | −9.77539 | + | 20.2988i | −0.559737 | + | 1.16231i | ||||
\(306\) | 6.87593 | − | 20.8593i | 0.393071 | − | 1.19244i | ||||
\(307\) | −2.77639 | + | 5.76523i | −0.158457 | + | 0.329039i | −0.965049 | − | 0.262069i | \(-0.915595\pi\) |
0.806592 | + | 0.591108i | \(0.201309\pi\) | |||||||
\(308\) | 39.4162 | − | 37.9349i | 2.24595 | − | 2.16154i | ||||
\(309\) | 1.24960 | − | 7.78239i | 0.0710873 | − | 0.442725i | ||||
\(310\) | 10.7596 | − | 3.31890i | 0.611104 | − | 0.188501i | ||||
\(311\) | −7.42387 | − | 1.11897i | −0.420969 | − | 0.0634509i | −0.0648580 | − | 0.997895i | \(-0.520659\pi\) |
−0.356111 | + | 0.934444i | \(0.615898\pi\) | |||||||
\(312\) | 55.8949 | + | 38.9005i | 3.16443 | + | 2.20231i | ||||
\(313\) | 23.4475 | + | 13.5374i | 1.32533 | + | 0.765180i | 0.984573 | − | 0.174972i | \(-0.0559834\pi\) |
0.340757 | + | 0.940151i | \(0.389317\pi\) | |||||||
\(314\) | −13.5948 | + | 17.0473i | −0.767198 | + | 0.962036i | ||||
\(315\) | 21.7756 | + | 12.6002i | 1.22691 | + | 0.709941i | ||||
\(316\) | −31.1887 | − | 39.1094i | −1.75450 | − | 2.20007i | ||||
\(317\) | 2.09273 | + | 13.8844i | 0.117540 | + | 0.779824i | 0.967480 | + | 0.252946i | \(0.0813994\pi\) |
−0.849941 | + | 0.526878i | \(0.823362\pi\) | |||||||
\(318\) | −20.8325 | − | 54.6177i | −1.16823 | − | 3.06281i | ||||
\(319\) | 16.9365 | + | 11.5471i | 0.948259 | + | 0.646512i | ||||
\(320\) | 36.1324 | − | 92.0639i | 2.01986 | − | 5.14653i | ||||
\(321\) | −1.95862 | + | 3.96909i | −0.109319 | + | 0.221533i | ||||
\(322\) | 1.25705 | + | 1.30613i | 0.0700526 | + | 0.0727880i | ||||
\(323\) | −6.66375 | − | 5.31416i | −0.370781 | − | 0.295688i | ||||
\(324\) | 37.5255 | − | 32.2256i | 2.08475 | − | 1.79031i | ||||
\(325\) | 20.7304i | 1.14991i | ||||||||
\(326\) | 10.8241 | − | 4.24816i | 0.599494 | − | 0.235284i | ||||
\(327\) | −1.68006 | − | 7.70123i | −0.0929078 | − | 0.425879i | ||||
\(328\) | 29.4226 | − | 43.1551i | 1.62459 | − | 2.38284i | ||||
\(329\) | 5.31139 | − | 11.5645i | 0.292826 | − | 0.637572i | ||||
\(330\) | 28.7437 | − | 48.6989i | 1.58229 | − | 2.68078i | ||||
\(331\) | −10.8857 | − | 27.7362i | −0.598331 | − | 1.52452i | −0.833473 | − | 0.552560i | \(-0.813651\pi\) |
0.235142 | − | 0.971961i | \(-0.424444\pi\) | |||||||
\(332\) | 18.5480 | + | 8.93222i | 1.01795 | + | 0.490219i | ||||
\(333\) | −1.93585 | − | 2.52556i | −0.106084 | − | 0.138400i | ||||
\(334\) | −25.2539 | − | 52.4402i | −1.38183 | − | 2.86940i | ||||
\(335\) | −31.1142 | − | 9.59747i | −1.69995 | − | 0.524366i | ||||
\(336\) | 30.7911 | + | 62.5496i | 1.67979 | + | 3.41236i | ||||
\(337\) | 21.9009 | − | 6.75553i | 1.19302 | − | 0.367997i | 0.366237 | − | 0.930522i | \(-0.380646\pi\) |
0.826781 | + | 0.562524i | \(0.190170\pi\) | |||||||
\(338\) | −7.21316 | − | 7.77393i | −0.392344 | − | 0.422846i | ||||
\(339\) | −29.6473 | + | 1.93547i | −1.61022 | + | 0.105120i | ||||
\(340\) | 44.5124 | + | 13.7303i | 2.41403 | + | 0.744628i | ||||
\(341\) | 4.39801 | + | 2.11797i | 0.238166 | + | 0.114694i | ||||
\(342\) | −9.09469 | − | 24.5500i | −0.491784 | − | 1.32751i | ||||
\(343\) | −1.01359 | − | 18.4925i | −0.0547288 | − | 0.998501i | ||||
\(344\) | 68.1364 | + | 39.3386i | 3.67367 | + | 2.12099i | ||||
\(345\) | 1.18317 | + | 0.698349i | 0.0636999 | + | 0.0375979i | ||||
\(346\) | −7.89369 | − | 8.50737i | −0.424367 | − | 0.457359i | ||||
\(347\) | 1.57896 | + | 0.619696i | 0.0847630 | + | 0.0332670i | 0.407344 | − | 0.913275i | \(-0.366455\pi\) |
−0.322581 | + | 0.946542i | \(0.604550\pi\) | |||||||
\(348\) | −40.8593 | + | 31.9467i | −2.19029 | + | 1.71252i | ||||
\(349\) | −4.46501 | + | 4.81214i | −0.239007 | + | 0.257588i | −0.841152 | − | 0.540798i | \(-0.818122\pi\) |
0.602146 | + | 0.798386i | \(0.294313\pi\) | |||||||
\(350\) | −17.6976 | + | 31.9875i | −0.945974 | + | 1.70980i | ||||
\(351\) | −18.7847 | + | 10.1349i | −1.00265 | + | 0.540963i | ||||
\(352\) | 76.3000 | − | 36.7442i | 4.06680 | − | 1.95847i | ||||
\(353\) | −9.53274 | − | 8.84509i | −0.507377 | − | 0.470777i | 0.384455 | − | 0.923144i | \(-0.374389\pi\) |
−0.891832 | + | 0.452367i | \(0.850580\pi\) | |||||||
\(354\) | −0.100459 | + | 10.4541i | −0.00533936 | + | 0.555630i | ||||
\(355\) | 5.02053 | − | 33.3090i | 0.266462 | − | 1.76786i | ||||
\(356\) | −3.17380 | − | 42.3515i | −0.168211 | − | 2.24462i | ||||
\(357\) | −10.5588 | + | 6.21841i | −0.558831 | + | 0.329113i | ||||
\(358\) | −4.20638 | + | 56.1302i | −0.222314 | + | 2.96657i | ||||
\(359\) | −23.1373 | − | 5.28094i | −1.22114 | − | 0.278717i | −0.437092 | − | 0.899417i | \(-0.643991\pi\) |
−0.784048 | + | 0.620700i | \(0.786849\pi\) | |||||||
\(360\) | 60.6122 | + | 67.8959i | 3.19454 | + | 3.57843i | ||||
\(361\) | 8.84022 | 0.465275 | ||||||||
\(362\) | −2.22108 | + | 3.84703i | −0.116738 | + | 0.202195i | ||||
\(363\) | 5.23535 | − | 1.55996i | 0.274784 | − | 0.0818765i | ||||
\(364\) | −14.3518 | − | 57.9803i | −0.752239 | − | 3.03899i | ||||
\(365\) | 30.2409 | + | 11.8687i | 1.58288 | + | 0.621236i | ||||
\(366\) | −2.19584 | − | 33.6357i | −0.114778 | − | 1.75816i | ||||
\(367\) | 33.9441 | + | 2.54376i | 1.77187 | + | 0.132783i | 0.920239 | − | 0.391358i | \(-0.127995\pi\) |
0.851631 | + | 0.524141i | \(0.175614\pi\) | |||||||
\(368\) | 1.65192 | + | 3.43024i | 0.0861121 | + | 0.178814i | ||||
\(369\) | 7.91140 | + | 14.3321i | 0.411851 | + | 0.746102i | ||||
\(370\) | 7.19674 | − | 5.73921i | 0.374141 | − | 0.298367i | ||||
\(371\) | −11.3591 | + | 30.5718i | −0.589736 | + | 1.58721i | ||||
\(372\) | −8.48761 | + | 8.97297i | −0.440062 | + | 0.465227i | ||||
\(373\) | −0.275531 | − | 0.477234i | −0.0142665 | − | 0.0247102i | 0.858804 | − | 0.512304i | \(-0.171208\pi\) |
−0.873070 | + | 0.487594i | \(0.837875\pi\) | |||||||
\(374\) | 13.7716 | + | 23.8532i | 0.712114 | + | 1.23342i | ||||
\(375\) | −0.0594261 | + | 0.249296i | −0.00306875 | + | 0.0128736i | ||||
\(376\) | 31.3140 | − | 33.7485i | 1.61490 | − | 1.74045i | ||||
\(377\) | 20.1646 | − | 9.71075i | 1.03853 | − | 0.500129i | ||||
\(378\) | −37.6374 | − | 0.398058i | −1.93586 | − | 0.0204739i | ||||
\(379\) | 20.4994 | + | 9.87199i | 1.05298 | + | 0.507090i | 0.878585 | − | 0.477585i | \(-0.158488\pi\) |
0.174398 | + | 0.984675i | \(0.444202\pi\) | |||||||
\(380\) | 51.6878 | − | 20.2859i | 2.65153 | − | 1.04065i | ||||
\(381\) | −4.37761 | − | 0.0420669i | −0.224272 | − | 0.00215515i | ||||
\(382\) | −37.4022 | + | 11.5371i | −1.91366 | + | 0.590287i | ||||
\(383\) | −15.8929 | − | 10.8356i | −0.812088 | − | 0.553672i | 0.0845589 | − | 0.996418i | \(-0.473052\pi\) |
−0.896647 | + | 0.442746i | \(0.854004\pi\) | |||||||
\(384\) | 9.76580 | + | 69.3042i | 0.498359 | + | 3.53667i | ||||
\(385\) | −29.9736 | + | 9.84821i | −1.52759 | + | 0.501911i | ||||
\(386\) | 9.83784 | + | 2.24542i | 0.500733 | + | 0.114289i | ||||
\(387\) | −20.6381 | + | 13.4973i | −1.04909 | + | 0.686105i | ||||
\(388\) | −33.2132 | + | 26.4867i | −1.68615 | + | 1.34466i | ||||
\(389\) | 4.51086 | − | 14.6239i | 0.228710 | − | 0.741459i | −0.766372 | − | 0.642398i | \(-0.777940\pi\) |
0.995081 | − | 0.0990613i | \(-0.0315840\pi\) | |||||||
\(390\) | −30.3562 | − | 53.7651i | −1.53715 | − | 2.72250i | ||||
\(391\) | −0.579529 | + | 0.334591i | −0.0293081 | + | 0.0169210i | ||||
\(392\) | 17.3990 | − | 64.7019i | 0.878780 | − | 3.26794i | ||||
\(393\) | −19.1185 | − | 13.3057i | −0.964400 | − | 0.671182i | ||||
\(394\) | −40.7422 | + | 27.7776i | −2.05256 | + | 1.39941i | ||||
\(395\) | 6.41958 | + | 28.1260i | 0.323004 | + | 1.41517i | ||||
\(396\) | −1.19206 | + | 62.0188i | −0.0599031 | + | 3.11656i | ||||
\(397\) | 12.7026 | − | 2.89930i | 0.637528 | − | 0.145512i | 0.108473 | − | 0.994099i | \(-0.465404\pi\) |
0.529054 | + | 0.848588i | \(0.322547\pi\) | |||||||
\(398\) | −54.5125 | − | 50.5802i | −2.73246 | − | 2.53536i | ||||
\(399\) | −5.21871 | + | 13.6426i | −0.261262 | + | 0.682984i | ||||
\(400\) | −56.2825 | + | 52.2225i | −2.81413 | + | 2.61113i | ||||
\(401\) | −6.87623 | + | 10.0856i | −0.343382 | + | 0.503649i | −0.958619 | − | 0.284693i | \(-0.908108\pi\) |
0.615236 | + | 0.788343i | \(0.289061\pi\) | |||||||
\(402\) | 47.5951 | − | 10.3831i | 2.37383 | − | 0.517864i | ||||
\(403\) | 4.40366 | − | 3.00237i | 0.219362 | − | 0.149559i | ||||
\(404\) | 31.0094 | − | 38.8846i | 1.54278 | − | 1.93458i | ||||
\(405\) | −27.5625 | + | 7.35471i | −1.36959 | + | 0.365459i | ||||
\(406\) | 39.4045 | + | 2.23061i | 1.95561 | + | 0.110704i | ||||
\(407\) | 3.97943 | + | 0.298217i | 0.197253 | + | 0.0147821i | ||||
\(408\) | −43.3119 | + | 9.44873i | −2.14426 | + | 0.467782i | ||||
\(409\) | −1.22278 | + | 8.11262i | −0.0604626 | + | 0.401143i | 0.938044 | + | 0.346516i | \(0.112635\pi\) |
−0.998507 | + | 0.0546277i | \(0.982603\pi\) | |||||||
\(410\) | −41.0112 | + | 23.6778i | −2.02540 | + | 1.16936i | ||||
\(411\) | −20.3687 | − | 1.72340i | −1.00472 | − | 0.0850092i | ||||
\(412\) | −23.2817 | + | 9.13738i | −1.14700 | + | 0.450166i | ||||
\(413\) | 3.88866 | − | 4.34749i | 0.191349 | − | 0.213926i | ||||
\(414\) | −2.05512 | − | 0.0395011i | −0.101003 | − | 0.00194138i | ||||
\(415\) | −7.40259 | − | 9.28255i | −0.363379 | − | 0.455662i | ||||
\(416\) | 6.90992 | − | 92.2064i | 0.338787 | − | 4.52079i | ||||
\(417\) | −0.836301 | + | 5.20840i | −0.0409539 | + | 0.255056i | ||||
\(418\) | 30.5623 | + | 11.9948i | 1.49485 | + | 0.586685i | ||||
\(419\) | 12.5267 | − | 31.9174i | 0.611967 | − | 1.55927i | −0.202639 | − | 0.979253i | \(-0.564952\pi\) |
0.814606 | − | 0.580014i | \(-0.196953\pi\) | |||||||
\(420\) | −0.689943 | − | 79.8267i | −0.0336658 | − | 3.89514i | ||||
\(421\) | −2.03395 | − | 5.18242i | −0.0991287 | − | 0.252576i | 0.872703 | − | 0.488251i | \(-0.162365\pi\) |
−0.971832 | + | 0.235675i | \(0.924270\pi\) | |||||||
\(422\) | − | 42.3983i | − | 2.06392i | ||||||
\(423\) | 5.01270 | + | 13.5312i | 0.243726 | + | 0.657908i | ||||
\(424\) | −73.5636 | + | 92.2458i | −3.57256 | + | 4.47985i | ||||
\(425\) | −9.89244 | − | 9.17885i | −0.479854 | − | 0.445239i | ||||
\(426\) | 17.9604 | + | 47.0878i | 0.870183 | + | 2.28141i | ||||
\(427\) | −11.4551 | + | 14.9147i | −0.554351 | + | 0.721775i | ||||
\(428\) | 14.0050 | − | 1.04953i | 0.676955 | − | 0.0507308i | ||||
\(429\) | 6.20672 | − | 26.0375i | 0.299663 | − | 1.25710i | ||||
\(430\) | −40.1836 | − | 58.9386i | −1.93783 | − | 2.84227i | ||||
\(431\) | 24.4738 | + | 5.58599i | 1.17886 | + | 0.269067i | 0.766677 | − | 0.642033i | \(-0.221909\pi\) |
0.412185 | + | 0.911100i | \(0.364766\pi\) | |||||||
\(432\) | −74.8372 | − | 25.4688i | −3.60061 | − | 1.22537i | ||||
\(433\) | 17.8470 | − | 4.07347i | 0.857674 | − | 0.195758i | 0.228999 | − | 0.973427i | \(-0.426455\pi\) |
0.628675 | + | 0.777668i | \(0.283598\pi\) | |||||||
\(434\) | 9.35808 | − | 0.873309i | 0.449202 | − | 0.0419202i | ||||
\(435\) | 29.2250 | − | 6.37558i | 1.40123 | − | 0.305686i | ||||
\(436\) | −18.3347 | + | 17.0121i | −0.878072 | + | 0.814732i | ||||
\(437\) | −0.291422 | + | 0.742532i | −0.0139406 | + | 0.0355201i | ||||
\(438\) | −48.1280 | + | 6.78182i | −2.29965 | + | 0.324048i | ||||
\(439\) | −4.37486 | − | 6.41674i | −0.208801 | − | 0.306254i | 0.707525 | − | 0.706688i | \(-0.249812\pi\) |
−0.916326 | + | 0.400434i | \(0.868859\pi\) | |||||||
\(440\) | −114.138 | −5.44131 | ||||||||
\(441\) | 15.6387 | + | 14.0154i | 0.744699 | + | 0.667401i | ||||
\(442\) | 30.0731 | 1.43043 | ||||||||
\(443\) | 18.5289 | + | 27.1769i | 0.880335 | + | 1.29121i | 0.955785 | + | 0.294065i | \(0.0950083\pi\) |
−0.0754500 | + | 0.997150i | \(0.524039\pi\) | |||||||
\(444\) | −3.77907 | + | 9.36335i | −0.179347 | + | 0.444365i | ||||
\(445\) | −8.94851 | + | 22.8004i | −0.424200 | + | 1.08084i | ||||
\(446\) | −39.2641 | + | 36.4317i | −1.85921 | + | 1.72509i | ||||
\(447\) | −0.591119 | − | 0.649482i | −0.0279590 | − | 0.0307194i | ||||
\(448\) | 45.2515 | − | 69.0465i | 2.13793 | − | 3.26214i | ||||
\(449\) | −3.47216 | + | 0.792498i | −0.163861 | + | 0.0374003i | −0.303664 | − | 0.952779i | \(-0.598210\pi\) |
0.139803 | + | 0.990179i | \(0.455353\pi\) | |||||||
\(450\) | −11.4546 | − | 39.8374i | −0.539975 | − | 1.87796i | ||||
\(451\) | −20.0151 | − | 4.56832i | −0.942475 | − | 0.215114i | ||||
\(452\) | 53.1063 | + | 77.8927i | 2.49791 | + | 3.66376i | ||||
\(453\) | 4.00259 | + | 3.78609i | 0.188058 | + | 0.177886i | ||||
\(454\) | 50.3944 | − | 3.77654i | 2.36513 | − | 0.177242i | ||||
\(455\) | −7.05114 | + | 33.7184i | −0.330562 | + | 1.58074i | ||||
\(456\) | −33.3422 | + | 40.9954i | −1.56139 | + | 1.91978i | ||||
\(457\) | 17.0236 | + | 15.7956i | 0.796329 | + | 0.738885i | 0.969257 | − | 0.246049i | \(-0.0791325\pi\) |
−0.172929 | + | 0.984934i | \(0.555323\pi\) | |||||||
\(458\) | 28.9717 | − | 36.3294i | 1.35376 | − | 1.69756i | ||||
\(459\) | 3.48100 | − | 13.4514i | 0.162479 | − | 0.627860i | ||||
\(460\) | − | 4.35950i | − | 0.203263i | ||||||
\(461\) | −4.62951 | − | 11.7958i | −0.215618 | − | 0.549385i | 0.781612 | − | 0.623765i | \(-0.214398\pi\) |
−0.997230 | + | 0.0743796i | \(0.976302\pi\) | |||||||
\(462\) | 31.8054 | − | 34.8778i | 1.47972 | − | 1.62266i | ||||
\(463\) | 10.9476 | − | 27.8940i | 0.508777 | − | 1.29634i | −0.413742 | − | 0.910394i | \(-0.635779\pi\) |
0.922520 | − | 0.385950i | \(-0.126126\pi\) | |||||||
\(464\) | 77.1617 | + | 30.2837i | 3.58214 | + | 1.40589i | ||||
\(465\) | 6.65556 | − | 2.53859i | 0.308644 | − | 0.117724i | ||||
\(466\) | 0.0895765 | − | 1.19532i | 0.00414955 | − | 0.0553719i | ||||
\(467\) | 6.66699 | + | 8.36014i | 0.308512 | + | 0.386861i | 0.911781 | − | 0.410676i | \(-0.134707\pi\) |
−0.603270 | + | 0.797537i | \(0.706136\pi\) | |||||||
\(468\) | 57.9922 | + | 34.9847i | 2.68069 | + | 1.61717i | ||||
\(469\) | −23.7818 | − | 13.1576i | −1.09814 | − | 0.607563i | ||||
\(470\) | −38.8558 | + | 15.2498i | −1.79228 | + | 0.703419i | ||||
\(471\) | −7.87959 | + | 11.3219i | −0.363072 | + | 0.521687i | ||||
\(472\) | 18.2744 | − | 10.5507i | 0.841149 | − | 0.485637i | ||||
\(473\) | 4.60912 | − | 30.5795i | 0.211927 | − | 1.40605i | ||||
\(474\) | −29.0520 | − | 31.9204i | −1.33440 | − | 1.46615i | ||||
\(475\) | −16.0410 | − | 1.20211i | −0.736013 | − | 0.0551565i | ||||
\(476\) | 34.0225 | + | 18.8235i | 1.55942 | + | 0.862773i | ||||
\(477\) | −15.4021 | − | 33.6207i | −0.705212 | − | 1.53938i | ||||
\(478\) | −36.6201 | + | 45.9202i | −1.67496 | + | 2.10034i | ||||
\(479\) | −10.4325 | + | 7.11276i | −0.476673 | + | 0.324990i | −0.777711 | − | 0.628622i | \(-0.783619\pi\) |
0.301038 | + | 0.953612i | \(0.402667\pi\) | |||||||
\(480\) | 37.5589 | − | 117.734i | 1.71432 | − | 5.37380i | ||||
\(481\) | 2.45445 | − | 3.60002i | 0.111913 | − | 0.164147i | ||||
\(482\) | −20.2668 | + | 18.8048i | −0.923128 | + | 0.856537i | ||||
\(483\) | 0.847381 | + | 0.772734i | 0.0385572 | + | 0.0351606i | ||||
\(484\) | −12.7067 | − | 11.7901i | −0.577579 | − | 0.535915i | ||||
\(485\) | 23.8857 | − | 5.45176i | 1.08460 | − | 0.247552i | ||||
\(486\) | 30.4984 | − | 29.8558i | 1.38343 | − | 1.35429i | ||||
\(487\) | 2.49659 | + | 10.9383i | 0.113131 | + | 0.495661i | 0.999468 | + | 0.0326192i | \(0.0103849\pi\) |
−0.886336 | + | 0.463042i | \(0.846758\pi\) | |||||||
\(488\) | −56.2127 | + | 38.3252i | −2.54463 | + | 1.73490i | ||||
\(489\) | 6.65801 | − | 3.12787i | 0.301086 | − | 0.141447i | ||||
\(490\) | −39.6656 | + | 46.0088i | −1.79191 | + | 2.07847i | ||||
\(491\) | −35.5273 | + | 20.5117i | −1.60333 | + | 0.925681i | −0.612511 | + | 0.790462i | \(0.709840\pi\) |
−0.990816 | + | 0.135218i | \(0.956826\pi\) | |||||||
\(492\) | 26.4040 | − | 44.7348i | 1.19038 | − | 2.01680i | ||||
\(493\) | −4.29440 | + | 13.9221i | −0.193410 | + | 0.627020i | ||||
\(494\) | 28.0266 | − | 22.3505i | 1.26098 | − | 1.00559i | ||||
\(495\) | 16.1384 | − | 31.9273i | 0.725369 | − | 1.43503i | ||||
\(496\) | 19.2448 | + | 4.39249i | 0.864116 | + | 0.197229i | ||||
\(497\) | 9.79309 | − | 26.3570i | 0.439280 | − | 1.18227i | ||||
\(498\) | 16.4720 | + | 6.64815i | 0.738129 | + | 0.297911i | ||||
\(499\) | −24.0422 | − | 16.3917i | −1.07628 | − | 0.733794i | −0.110686 | − | 0.993855i | \(-0.535305\pi\) |
−0.965592 | + | 0.260062i | \(0.916257\pi\) | |||||||
\(500\) | 0.777075 | − | 0.239696i | 0.0347518 | − | 0.0107195i | ||||
\(501\) | −18.1035 | − | 32.0638i | −0.808804 | − | 1.43251i | ||||
\(502\) | −17.8441 | + | 7.00328i | −0.796420 | + | 0.312572i | ||||
\(503\) | 10.4247 | + | 5.02029i | 0.464817 | + | 0.223844i | 0.651608 | − | 0.758556i | \(-0.274095\pi\) |
−0.186792 | + | 0.982400i | \(0.559809\pi\) | |||||||
\(504\) | 37.9221 | + | 65.8298i | 1.68918 | + | 2.93229i | ||||
\(505\) | −25.8430 | + | 12.4453i | −1.15000 | + | 0.553809i | ||||
\(506\) | 1.75329 | − | 1.88960i | 0.0779432 | − | 0.0840028i | ||||
\(507\) | −4.87392 | − | 4.61028i | −0.216458 | − | 0.204750i | ||||
\(508\) | 6.94560 | + | 12.0301i | 0.308161 | + | 0.533751i | ||||
\(509\) | 10.2552 | + | 17.7625i | 0.454553 | + | 0.787309i | 0.998662 | − | 0.0517054i | \(-0.0164657\pi\) |
−0.544109 | + | 0.839014i | \(0.683132\pi\) | |||||||
\(510\) | 39.0974 | + | 9.31986i | 1.73126 | + | 0.412691i | ||||
\(511\) | 22.6802 | + | 14.8641i | 1.00331 | + | 0.657549i | ||||
\(512\) | 40.0493 | − | 31.9382i | 1.76994 | − | 1.41148i | ||||
\(513\) | −6.75307 | − | 15.1232i | −0.298155 | − | 0.667704i | ||||
\(514\) | 19.7792 | + | 41.0720i | 0.872424 | + | 1.81161i | ||||
\(515\) | 14.3838 | + | 1.07792i | 0.633828 | + | 0.0474988i | ||||
\(516\) | 70.1695 | + | 34.6264i | 3.08904 | + | 1.52434i | ||||
\(517\) | −16.8449 | − | 6.61115i | −0.740840 | − | 0.290758i | ||||
\(518\) | 6.86061 | − | 3.45954i | 0.301438 | − | 0.152004i | ||||
\(519\) | −5.33375 | − | 5.04524i | −0.234126 | − | 0.221461i | ||||
\(520\) | −62.3106 | + | 107.925i | −2.73250 | + | 4.73283i | ||||
\(521\) | 13.3949 | 0.586840 | 0.293420 | − | 0.955984i | \(-0.405207\pi\) | ||||
0.293420 | + | 0.955984i | \(0.405207\pi\) | |||||||
\(522\) | −33.3845 | + | 29.8031i | −1.46120 | + | 1.30444i | ||||
\(523\) | 1.29063 | + | 0.294577i | 0.0564352 | + | 0.0128810i | 0.250645 | − | 0.968079i | \(-0.419357\pi\) |
−0.194210 | + | 0.980960i | \(0.562214\pi\) | |||||||
\(524\) | −5.52333 | + | 73.7037i | −0.241288 | + | 3.21976i | ||||
\(525\) | −9.85388 | + | 20.9225i | −0.430059 | + | 0.913132i | ||||
\(526\) | 0.184644 | + | 2.46391i | 0.00805088 | + | 0.107432i | ||||
\(527\) | −0.517106 | + | 3.43078i | −0.0225255 | + | 0.149447i | ||||
\(528\) | 86.3268 | − | 48.7408i | 3.75689 | − | 2.12117i | ||||
\(529\) | −16.8143 | − | 15.6014i | −0.731056 | − | 0.678321i | ||||
\(530\) | 96.3803 | − | 46.4143i | 4.18649 | − | 2.01611i | ||||
\(531\) | 0.367418 | + | 6.60364i | 0.0159446 | + | 0.286574i | ||||
\(532\) | 45.6970 | − | 7.74318i | 1.98122 | − | 0.335709i | ||||
\(533\) | −15.2464 | + | 16.4317i | −0.660395 | + | 0.711736i | ||||
\(534\) | −5.11322 | − | 36.2866i | −0.221271 | − | 1.57027i | ||||
\(535\) | −7.53974 | − | 2.95913i | −0.325972 | − | 0.127934i | ||||
\(536\) | −66.8780 | − | 72.0773i | −2.88869 | − | 3.11327i | ||||
\(537\) | −0.342171 | + | 35.6074i | −0.0147658 | + | 1.53657i | ||||
\(538\) | 49.2190 | + | 28.4166i | 2.12198 | + | 1.22513i | ||||
\(539\) | −26.1723 | + | 2.92517i | −1.12732 | + | 0.125996i | ||||
\(540\) | 64.5524 | + | 63.4551i | 2.77789 | + | 2.73067i | ||||
\(541\) | 21.9729 | + | 10.5816i | 0.944691 | + | 0.454939i | 0.841822 | − | 0.539756i | \(-0.181483\pi\) |
0.102869 | + | 0.994695i | \(0.467198\pi\) | |||||||
\(542\) | 29.6592 | + | 9.14865i | 1.27397 | + | 0.392968i | ||||
\(543\) | −1.24359 | + | 2.52010i | −0.0533674 | + | 0.108148i | ||||
\(544\) | 40.9410 | + | 44.1239i | 1.75533 | + | 1.89180i | ||||
\(545\) | 13.7838 | − | 4.25175i | 0.590435 | − | 0.182125i | ||||
\(546\) | −15.6161 | − | 49.1148i | −0.668305 | − | 2.10192i | ||||
\(547\) | −22.1460 | − | 6.83114i | −0.946895 | − | 0.292078i | −0.217414 | − | 0.976079i | \(-0.569762\pi\) |
−0.729481 | + | 0.684001i | \(0.760238\pi\) | |||||||
\(548\) | 28.1429 | + | 58.4394i | 1.20221 | + | 2.49641i | ||||
\(549\) | −2.77239 | − | 21.1431i | −0.118323 | − | 0.902366i | ||||
\(550\) | 46.8347 | + | 22.5544i | 1.99704 | + | 0.961724i | ||||
\(551\) | 6.34481 | + | 16.1663i | 0.270298 | + | 0.688708i | ||||
\(552\) | 2.03978 | + | 3.61273i | 0.0868187 | + | 0.153768i | ||||
\(553\) | 0.439502 | + | 24.0769i | 0.0186895 | + | 1.02385i | ||||
\(554\) | −40.1094 | + | 58.8297i | −1.70409 | + | 2.49943i | ||||
\(555\) | 4.30665 | − | 3.91965i | 0.182807 | − | 0.166380i | ||||
\(556\) | 15.5814 | − | 6.11523i | 0.660797 | − | 0.259344i | ||||
\(557\) | 40.2596i | 1.70586i | 0.522029 | + | 0.852928i | \(0.325175\pi\) | ||||
−0.522029 | + | 0.852928i | \(0.674825\pi\) | |||||||
\(558\) | −6.80353 | + | 8.20288i | −0.288017 | + | 0.347256i | ||||
\(559\) | −26.3988 | − | 21.0523i | −1.11655 | − | 0.890418i | ||||
\(560\) | −109.308 | + | 65.7975i | −4.61909 | + | 2.78045i | ||||
\(561\) | 9.67683 | + | 14.4905i | 0.408556 | + | 0.611790i | ||||
\(562\) | 11.7363 | − | 29.9036i | 0.495065 | − | 1.26141i | ||||
\(563\) | −15.5115 | − | 10.5756i | −0.653732 | − | 0.445707i | 0.190498 | − | 0.981688i | \(-0.438990\pi\) |
−0.844230 | + | 0.535981i | \(0.819942\pi\) | |||||||
\(564\) | 28.8905 | − | 35.5219i | 1.21651 | − | 1.49574i | ||||
\(565\) | −8.10342 | − | 53.7627i | −0.340913 | − | 2.26181i | ||||
\(566\) | −36.3936 | − | 45.6361i | −1.52974 | − | 1.91823i | ||||
\(567\) | −23.7763 | + | 1.29983i | −0.998509 | + | 0.0545877i | ||||
\(568\) | 63.4217 | − | 79.5282i | 2.66111 | − | 3.33693i | ||||
\(569\) | −18.2327 | − | 10.5266i | −0.764353 | − | 0.441299i | 0.0665036 | − | 0.997786i | \(-0.478816\pi\) |
−0.830856 | + | 0.556487i | \(0.812149\pi\) | |||||||
\(570\) | 43.3633 | − | 20.3717i | 1.81629 | − | 0.853277i | ||||
\(571\) | 25.3122 | + | 3.81520i | 1.05928 | + | 0.159661i | 0.655501 | − | 0.755194i | \(-0.272458\pi\) |
0.403781 | + | 0.914856i | \(0.367696\pi\) | |||||||
\(572\) | −81.1610 | + | 25.0349i | −3.39351 | + | 1.04676i | ||||
\(573\) | −23.1359 | + | 8.82456i | −0.966516 | + | 0.368651i | ||||
\(574\) | −37.5533 | + | 12.3386i | −1.56745 | + | 0.515005i | ||||
\(575\) | −0.547975 | + | 1.13788i | −0.0228522 | + | 0.0474530i | ||||
\(576\) | 19.0719 | + | 91.6436i | 0.794663 | + | 3.81848i | ||||
\(577\) | −10.2196 | + | 21.2213i | −0.425448 | + | 0.883452i | 0.572529 | + | 0.819884i | \(0.305962\pi\) |
−0.997978 | + | 0.0635681i | \(0.979752\pi\) | |||||||
\(578\) | 18.3423 | − | 19.7683i | 0.762940 | − | 0.822254i | ||||
\(579\) | 6.30300 | + | 1.01206i | 0.261944 | + | 0.0420597i | ||||
\(580\) | −64.5583 | − | 69.5773i | −2.68064 | − | 2.88904i | ||||
\(581\) | −4.46221 | − | 8.84901i | −0.185124 | − | 0.367119i | ||||
\(582\) | −27.1081 | + | 24.6721i | −1.12367 | + | 1.02269i | ||||
\(583\) | 44.3156 | + | 13.6695i | 1.83536 | + | 0.566135i | ||||
\(584\) | 61.1649 | + | 76.6983i | 2.53102 | + | 3.17380i | ||||
\(585\) | −21.3791 | − | 32.6899i | −0.883917 | − | 1.35156i | ||||
\(586\) | 30.8875 | − | 64.1385i | 1.27595 | − | 2.64954i | ||||
\(587\) | 13.1442 | − | 22.7664i | 0.542518 | − | 0.939669i | −0.456241 | − | 0.889856i | \(-0.650804\pi\) |
0.998759 | − | 0.0498123i | \(-0.0158623\pi\) | |||||||
\(588\) | 13.0753 | − | 65.3395i | 0.539217 | − | 2.69456i | ||||
\(589\) | 2.06785 | + | 3.58163i | 0.0852044 | + | 0.147578i | ||||
\(590\) | −19.0784 | + | 1.42973i | −0.785446 | + | 0.0588610i | ||||
\(591\) | −24.5751 | + | 19.2146i | −1.01088 | + | 0.790382i | ||||
\(592\) | 15.9570 | − | 2.40514i | 0.655830 | − | 0.0988505i | ||||
\(593\) | −0.0962597 | − | 0.421741i | −0.00395291 | − | 0.0173188i | 0.972913 | − | 0.231172i | \(-0.0742559\pi\) |
−0.976866 | + | 0.213853i | \(0.931399\pi\) | |||||||
\(594\) | 2.45966 | + | 53.4657i | 0.100921 | + | 2.19372i | ||||
\(595\) | −12.9682 | − | 18.2944i | −0.531646 | − | 0.749996i | ||||
\(596\) | −0.821375 | + | 2.66283i | −0.0336448 | + | 0.109074i | ||||
\(597\) | −36.4973 | − | 29.6838i | −1.49373 | − | 1.21488i | ||||
\(598\) | −0.829580 | − | 2.68943i | −0.0339240 | − | 0.109979i | ||||
\(599\) | 8.17744 | − | 0.612815i | 0.334121 | − | 0.0250389i | 0.0933867 | − | 0.995630i | \(-0.470231\pi\) |
0.240735 | + | 0.970591i | \(0.422612\pi\) | |||||||
\(600\) | −57.4937 | + | 60.7815i | −2.34717 | + | 2.48139i | ||||
\(601\) | 4.85318 | + | 7.11831i | 0.197966 | + | 0.290362i | 0.912366 | − | 0.409375i | \(-0.134253\pi\) |
−0.714401 | + | 0.699737i | \(0.753301\pi\) | |||||||
\(602\) | −22.7615 | − | 55.0209i | −0.927691 | − | 2.24248i | ||||
\(603\) | 29.6180 | − | 8.51618i | 1.20614 | − | 0.346806i | ||||
\(604\) | 3.89018 | − | 17.0440i | 0.158289 | − | 0.693511i | ||||
\(605\) | 3.65229 | + | 9.30589i | 0.148487 | + | 0.378338i | ||||
\(606\) | 24.5137 | − | 35.2230i | 0.995801 | − | 1.43084i | ||||
\(607\) | −23.1948 | + | 13.3915i | −0.941447 | + | 0.543545i | −0.890414 | − | 0.455152i | \(-0.849585\pi\) |
−0.0510334 | + | 0.998697i | \(0.516252\pi\) | |||||||
\(608\) | 70.9480 | + | 10.6937i | 2.87732 | + | 0.433686i | ||||
\(609\) | 24.9673 | − | 0.215793i | 1.01173 | − | 0.00874436i | ||||
\(610\) | 60.9953 | − | 9.19356i | 2.46963 | − | 0.372236i | ||||
\(611\) | −15.4474 | + | 12.3189i | −0.624933 | + | 0.498368i | ||||
\(612\) | −42.3719 | + | 12.1834i | −1.71278 | + | 0.492483i | ||||
\(613\) | 29.2800 | − | 14.1005i | 1.18261 | − | 0.569515i | 0.263939 | − | 0.964539i | \(-0.414978\pi\) |
0.918670 | + | 0.395025i | \(0.129264\pi\) | |||||||
\(614\) | 17.3238 | − | 2.61114i | 0.699130 | − | 0.105377i | ||||
\(615\) | −24.9138 | + | 16.6375i | −1.00462 | + | 0.670890i | ||||
\(616\) | −93.2553 | − | 19.5014i | −3.75736 | − | 0.785733i | ||||
\(617\) | 2.34233 | − | 15.5403i | 0.0942986 | − | 0.625631i | −0.890898 | − | 0.454203i | \(-0.849924\pi\) |
0.985197 | − | 0.171427i | \(-0.0548379\pi\) | |||||||
\(618\) | −19.5321 | + | 9.17600i | −0.785696 | + | 0.369113i | ||||
\(619\) | 21.7201 | + | 12.5401i | 0.873003 | + | 0.504029i | 0.868345 | − | 0.495960i | \(-0.165184\pi\) |
0.00465819 | + | 0.999989i | \(0.498517\pi\) | |||||||
\(620\) | −17.6716 | − | 14.0926i | −0.709707 | − | 0.565973i | ||||
\(621\) | −1.29899 | + | 0.0597592i | −0.0521265 | + | 0.00239805i | ||||
\(622\) | 8.91857 | + | 18.5196i | 0.357602 | + | 0.742569i | ||||
\(623\) | −11.2069 | + | 17.1000i | −0.448996 | + | 0.685095i | ||||
\(624\) | 1.04011 | − | 108.237i | 0.0416376 | − | 4.33294i | ||||
\(625\) | 24.4878 | + | 3.69094i | 0.979513 | + | 0.147638i | ||||
\(626\) | −5.53955 | − | 73.9202i | −0.221405 | − | 2.95445i | ||||
\(627\) | 19.7877 | + | 6.31257i | 0.790246 | + | 0.252100i | ||||
\(628\) | 43.6472 | + | 3.27091i | 1.74171 | + | 0.130523i | ||||
\(629\) | 0.631148 | + | 2.76524i | 0.0251655 | + | 0.110257i | ||||
\(630\) | −5.08105 | − | 68.6927i | −0.202434 | − | 2.73678i | ||||
\(631\) | −4.71943 | + | 20.6772i | −0.187878 | + | 0.823146i | 0.789855 | + | 0.613293i | \(0.210156\pi\) |
−0.977733 | + | 0.209853i | \(0.932702\pi\) | |||||||
\(632\) | −25.6782 | + | 83.2468i | −1.02143 | + | 3.31138i | ||||
\(633\) | −1.74732 | − | 26.7653i | −0.0694498 | − | 1.06383i | ||||
\(634\) | 28.1807 | − | 26.1479i | 1.11920 | − | 1.03847i | ||||
\(635\) | −0.598692 | − | 7.98899i | −0.0237584 | − | 0.317033i | ||||
\(636\) | −67.0303 | + | 96.3138i | −2.65793 | + | 3.81909i | ||||
\(637\) | −11.5221 | + | 26.3446i | −0.456523 | + | 1.04381i | ||||
\(638\) | − | 56.1217i | − | 2.22188i | ||||||
\(639\) | 13.2786 | + | 28.9855i | 0.525295 | + | 1.14665i | ||||
\(640\) | −124.868 | + | 28.5004i | −4.93585 | + | 1.12658i | ||||
\(641\) | −1.13622 | − | 7.53833i | −0.0448780 | − | 0.297746i | −0.999999 | − | 0.00152973i | \(-0.999513\pi\) |
0.955121 | − | 0.296217i | \(-0.0957250\pi\) | |||||||
\(642\) | 11.9994 | − | 1.69086i | 0.473578 | − | 0.0667329i | ||||
\(643\) | −4.52796 | − | 14.6793i | −0.178565 | − | 0.578894i | −0.999964 | − | 0.00853939i | \(-0.997282\pi\) |
0.821398 | − | 0.570355i | \(-0.193194\pi\) | |||||||
\(644\) | 0.744855 | − | 3.56189i | 0.0293514 | − | 0.140358i | ||||
\(645\) | −27.7962 | − | 35.5508i | −1.09447 | − | 1.39981i | ||||
\(646\) | −1.74387 | + | 23.2703i | −0.0686117 | + | 0.915559i | ||||
\(647\) | −6.25547 | + | 27.4070i | −0.245928 | + | 1.07748i | 0.689589 | + | 0.724201i | \(0.257791\pi\) |
−0.935517 | + | 0.353281i | \(0.885066\pi\) | |||||||
\(648\) | −83.1850 | − | 22.3818i | −3.26782 | − | 0.879242i | ||||
\(649\) | −6.48464 | − | 5.17132i | −0.254544 | − | 0.202992i | ||||
\(650\) | 46.8950 | − | 31.9725i | 1.83937 | − | 1.25406i | ||||
\(651\) | 5.87160 | − | 0.936971i | 0.230126 | − | 0.0367228i | ||||
\(652\) | −19.2858 | − | 13.1488i | −0.755291 | − | 0.514948i | ||||
\(653\) | 10.3433 | + | 33.5321i | 0.404764 | + | 1.31221i | 0.897108 | + | 0.441811i | \(0.145664\pi\) |
−0.492344 | + | 0.870401i | \(0.663860\pi\) | |||||||
\(654\) | −14.8301 | + | 15.6781i | −0.579902 | + | 0.613064i | ||||
\(655\) | 21.3129 | − | 36.9151i | 0.832766 | − | 1.44239i | ||||
\(656\) | −83.0194 | −3.24136 | ||||||||
\(657\) | −30.1029 | + | 6.26470i | −1.17442 | + | 0.244409i | ||||
\(658\) | −34.3523 | + | 5.82086i | −1.33919 | + | 0.226921i | ||||
\(659\) | 0.376665 | + | 2.49901i | 0.0146728 | + | 0.0973475i | 0.994969 | − | 0.100188i | \(-0.0319444\pi\) |
−0.980296 | + | 0.197535i | \(0.936706\pi\) | |||||||
\(660\) | −113.274 | + | 7.39488i | −4.40919 | + | 0.287845i | ||||
\(661\) | −16.7729 | + | 24.6014i | −0.652391 | + | 0.956882i | 0.347425 | + | 0.937708i | \(0.387056\pi\) |
−0.999816 | + | 0.0191743i | \(0.993896\pi\) | |||||||
\(662\) | −45.9542 | + | 67.4025i | −1.78606 | + | 2.61967i | ||||
\(663\) | 18.9846 | − | 1.23937i | 0.737301 | − | 0.0481333i | ||||
\(664\) | −5.34357 | − | 35.4523i | −0.207371 | − | 1.37582i | ||||
\(665\) | −25.6822 | − | 7.41138i | −0.995914 | − | 0.287401i | ||||
\(666\) | −2.72751 | + | 8.27434i | −0.105689 | + | 0.320624i | ||||
\(667\) | 1.36351 | 0.0527955 | ||||||||
\(668\) | −58.4190 | + | 101.185i | −2.26030 | + | 3.91496i | ||||
\(669\) | −23.2853 | + | 24.6169i | −0.900261 | + | 0.951743i | ||||
\(670\) | 26.2767 | + | 85.1869i | 1.01516 | + | 3.29106i | ||||
\(671\) | 22.0950 | + | 15.0641i | 0.852968 | + | 0.581544i | ||||
\(672\) | 50.8029 | − | 89.7763i | 1.95977 | − | 3.46320i | ||||
\(673\) | −40.0160 | + | 27.2824i | −1.54250 | + | 1.05166i | −0.569182 | + | 0.822212i | \(0.692740\pi\) |
−0.973321 | + | 0.229449i | \(0.926308\pi\) | |||||||
\(674\) | −49.0597 | − | 39.1238i | −1.88971 | − | 1.50699i | ||||
\(675\) | −8.87287 | − | 24.6766i | −0.341517 | − | 0.949803i | ||||
\(676\) | −4.73704 | + | 20.7543i | −0.182194 | + | 0.798243i | ||||
\(677\) | 0.462875 | − | 6.17663i | 0.0177897 | − | 0.237387i | −0.981220 | − | 0.192892i | \(-0.938213\pi\) |
0.999010 | − | 0.0444948i | \(-0.0141678\pi\) | |||||||
\(678\) | 50.1033 | + | 64.0812i | 1.92420 | + | 2.46102i | ||||
\(679\) | 20.4471 | − | 0.373243i | 0.784687 | − | 0.0143237i | ||||
\(680\) | −23.9120 | − | 77.5207i | −0.916982 | − | 2.97278i | ||||
\(681\) | 31.6575 | − | 4.46092i | 1.21312 | − | 0.170943i | ||||
\(682\) | −1.99191 | − | 13.2154i | −0.0762741 | − | 0.506046i | ||||
\(683\) | 18.5616 | − | 4.23656i | 0.710239 | − | 0.162107i | 0.147885 | − | 0.989004i | \(-0.452753\pi\) |
0.562353 | + | 0.826897i | \(0.309896\pi\) | |||||||
\(684\) | −30.4338 | + | 42.8453i | −1.16366 | + | 1.63823i | ||||
\(685\) | − | 37.4080i | − | 1.42928i | ||||||
\(686\) | −40.2693 | + | 30.8139i | −1.53749 | + | 1.17648i | ||||
\(687\) | 16.7921 | − | 24.1281i | 0.640659 | − | 0.920543i | ||||
\(688\) | −9.34539 | − | 124.706i | −0.356290 | − | 4.75436i | ||||
\(689\) | 37.1185 | − | 34.4409i | 1.41410 | − | 1.31209i | ||||
\(690\) | −0.245044 | − | 3.75356i | −0.00932867 | − | 0.142896i | ||||
\(691\) | 12.9940 | − | 42.1255i | 0.494315 | − | 1.60253i | −0.273508 | − | 0.961870i | \(-0.588184\pi\) |
0.767823 | − | 0.640662i | \(-0.221340\pi\) | |||||||
\(692\) | −5.18396 | + | 22.7124i | −0.197065 | + | 0.863396i | ||||
\(693\) | 18.6408 | − | 23.3285i | 0.708105 | − | 0.886177i | ||||
\(694\) | −1.03339 | − | 4.52758i | −0.0392270 | − | 0.171865i | ||||
\(695\) | −9.62645 | − | 0.721403i | −0.365152 | − | 0.0273644i | ||||
\(696\) | 86.0543 | + | 27.4526i | 3.26188 | + | 1.04059i | ||||
\(697\) | −1.09045 | − | 14.5510i | −0.0413037 | − | 0.551159i | ||||
\(698\) | 17.7721 | + | 2.67871i | 0.672684 | + | 0.101391i | ||||
\(699\) | 0.00728667 | − | 0.758273i | 0.000275607 | − | 0.0286805i | ||||
\(700\) | 73.0660 | − | 6.81862i | 2.76164 | − | 0.257720i | ||||
\(701\) | 18.7370 | + | 38.9077i | 0.707685 | + | 1.46952i | 0.875254 | + | 0.483663i | \(0.160694\pi\) |
−0.167569 | + | 0.985860i | \(0.553592\pi\) | |||||||
\(702\) | 51.8983 | + | 26.8624i | 1.95877 | + | 1.01386i | ||||
\(703\) | 2.64334 | + | 2.10799i | 0.0996954 | + | 0.0795045i | ||||
\(704\) | −101.662 | − | 58.6944i | −3.83152 | − | 2.21213i | ||||
\(705\) | −23.9005 | + | 11.2282i | −0.900144 | + | 0.422880i | ||||
\(706\) | −5.30648 | + | 35.2062i | −0.199712 | + | 1.32500i | ||||
\(707\) | −23.2411 | + | 5.75285i | −0.874072 | + | 0.216358i | ||||
\(708\) | 17.4526 | − | 11.6549i | 0.655907 | − | 0.438017i | ||||
\(709\) | 0.938680 | − | 0.141483i | 0.0352529 | − | 0.00531352i | −0.131392 | − | 0.991330i | \(-0.541945\pi\) |
0.166645 | + | 0.986017i | \(0.446707\pi\) | |||||||
\(710\) | −83.0928 | + | 40.0154i | −3.11842 | + | 1.50175i | ||||
\(711\) | −19.6555 | − | 18.9535i | −0.737140 | − | 0.710811i | ||||
\(712\) | −57.8274 | + | 46.1158i | −2.16717 | + | 1.72826i | ||||
\(713\) | 0.321078 | − | 0.0483948i | 0.0120245 | − | 0.00181240i | ||||
\(714\) | 30.3517 | + | 14.2948i | 1.13589 | + | 0.534969i | ||||
\(715\) | 48.4366 | + | 7.30064i | 1.81143 | + | 0.273029i | ||||
\(716\) | 97.8528 | − | 56.4953i | 3.65693 | − | 2.11133i | ||||
\(717\) | −21.2252 | + | 30.4978i | −0.792668 | + | 1.13896i | ||||
\(718\) | 23.7384 | + | 60.4846i | 0.885911 | + | 2.25726i | ||||
\(719\) | −4.20477 | + | 18.4223i | −0.156811 | + | 0.687036i | 0.833998 | + | 0.551768i | \(0.186047\pi\) |
−0.990809 | + | 0.135268i | \(0.956811\pi\) | |||||||
\(720\) | 34.8956 | − | 140.394i | 1.30048 | − | 5.23217i | ||||
\(721\) | 11.5680 | + | 3.33830i | 0.430815 | + | 0.124325i | ||||
\(722\) | −13.6343 | − | 19.9978i | −0.507415 | − | 0.744241i | ||||
\(723\) | −12.0191 | + | 12.7064i | −0.446995 | + | 0.472556i | ||||
\(724\) | 8.89219 | − | 0.666378i | 0.330476 | − | 0.0247657i | ||||
\(725\) | 8.10486 | + | 26.2753i | 0.301007 | + | 0.975840i | ||||
\(726\) | −11.6033 | − | 9.43716i | −0.430639 | − | 0.350246i | ||||
\(727\) | −8.79188 | + | 28.5026i | −0.326073 | + | 1.05710i | 0.633050 | + | 0.774111i | \(0.281803\pi\) |
−0.959123 | + | 0.282991i | \(0.908673\pi\) | |||||||
\(728\) | −69.3502 | + | 77.5330i | −2.57029 | + | 2.87356i | ||||
\(729\) | 18.0227 | − | 20.1043i | 0.667506 | − | 0.744605i | ||||
\(730\) | −19.7920 | − | 86.7143i | −0.732534 | − | 3.20944i | ||||
\(731\) | 21.7347 | − | 3.27598i | 0.803888 | − | 0.121167i | ||||
\(732\) | −53.3043 | + | 41.6771i | −1.97018 | + | 1.54043i | ||||
\(733\) | 43.2885 | − | 3.24403i | 1.59890 | − | 0.119821i | 0.754780 | − | 0.655978i | \(-0.227744\pi\) |
0.844118 | + | 0.536157i | \(0.180125\pi\) | |||||||
\(734\) | −46.5977 | − | 80.7096i | −1.71995 | − | 2.97905i | ||||
\(735\) | −23.1440 | + | 30.6792i | −0.853681 | + | 1.13162i | ||||
\(736\) | 2.81662 | − | 4.87852i | 0.103822 | − | 0.179825i | ||||
\(737\) | −16.7686 | + | 34.8203i | −0.617679 | + | 1.28262i | ||||
\(738\) | 20.2196 | − | 40.0011i | 0.744292 | − | 1.47246i | ||||
\(739\) | 2.14213 | + | 2.68615i | 0.0787997 | + | 0.0988117i | 0.819669 | − | 0.572838i | \(-0.194158\pi\) |
−0.740869 | + | 0.671650i | \(0.765586\pi\) | |||||||
\(740\) | −17.6570 | − | 5.44645i | −0.649083 | − | 0.200216i | ||||
\(741\) | 16.7716 | − | 15.2645i | 0.616119 | − | 0.560755i | ||||
\(742\) | 86.6769 | − | 21.4550i | 3.18201 | − | 0.787639i | ||||
\(743\) | 2.38928 | + | 2.57503i | 0.0876543 | + | 0.0944689i | 0.775356 | − | 0.631525i | \(-0.217571\pi\) |
−0.687701 | + | 0.725994i | \(0.741380\pi\) | |||||||
\(744\) | 21.2383 | + | 3.41019i | 0.778634 | + | 0.125024i | ||||
\(745\) | 1.09312 | − | 1.17810i | 0.0400488 | − | 0.0431623i | ||||
\(746\) | −0.654618 | + | 1.35933i | −0.0239673 | + | 0.0497685i | ||||
\(747\) | 10.6725 | + | 3.51801i | 0.390485 | + | 0.128717i | ||||
\(748\) | 23.9894 | − | 49.8144i | 0.877138 | − | 1.82140i | ||||
\(749\) | −5.65468 | − | 3.70596i | −0.206618 | − | 0.135413i | ||||
\(750\) | 0.655595 | − | 0.250059i | 0.0239389 | − | 0.00913086i | ||||
\(751\) | 13.1782 | − | 4.06495i | 0.480881 | − | 0.148332i | −0.0448314 | − | 0.998995i | \(-0.514275\pi\) |
0.525712 | + | 0.850662i | \(0.323799\pi\) | |||||||
\(752\) | −72.3594 | − | 10.9064i | −2.63867 | − | 0.397716i | ||||
\(753\) | −10.9760 | + | 5.15644i | −0.399989 | + | 0.187911i | ||||
\(754\) | −53.0669 | − | 30.6382i | −1.93258 | − | 1.11578i | ||||
\(755\) | −6.28632 | + | 7.88280i | −0.228783 | + | 0.286884i | ||||
\(756\) | 41.9001 | + | 62.8747i | 1.52389 | + | 2.28673i | ||||
\(757\) | −6.77372 | − | 8.49398i | −0.246195 | − | 0.308719i | 0.643345 | − | 0.765577i | \(-0.277546\pi\) |
−0.889540 | + | 0.456858i | \(0.848975\pi\) | |||||||
\(758\) | −9.28441 | − | 61.5980i | −0.337225 | − | 2.23734i | ||||
\(759\) | 1.02895 | − | 1.26513i | 0.0373484 | − | 0.0459211i | ||||
\(760\) | −79.8985 | − | 54.4739i | −2.89822 | − | 1.97598i | ||||
\(761\) | 0.678850 | − | 1.72968i | 0.0246083 | − | 0.0627009i | −0.918042 | − | 0.396484i | \(-0.870230\pi\) |
0.942650 | + | 0.333783i | \(0.108325\pi\) | |||||||
\(762\) | 6.65643 | + | 9.96764i | 0.241137 | + | 0.361090i | ||||
\(763\) | 11.9884 | − | 1.11877i | 0.434009 | − | 0.0405024i | ||||
\(764\) | 61.4294 | + | 48.9883i | 2.22244 | + | 1.77234i | ||||
\(765\) | 25.0656 | + | 4.27218i | 0.906247 | + | 0.154461i | ||||
\(766\) | 52.6636i | 1.90281i | ||||||||
\(767\) | −8.42996 | + | 3.30852i | −0.304388 | + | 0.119464i | ||||
\(768\) | 61.7769 | − | 56.2256i | 2.22918 | − | 2.02887i | ||||
\(769\) | 7.20986 | − | 10.5749i | 0.259994 | − | 0.381341i | −0.673940 | − | 0.738786i | \(-0.735400\pi\) |
0.933934 | + | 0.357445i | \(0.116352\pi\) | |||||||
\(770\) | 68.5062 | + | 52.6155i | 2.46879 | + | 1.89613i | ||||
\(771\) | 14.1789 | + | 25.1129i | 0.510642 | + | 0.904417i | ||||
\(772\) | −7.40041 | − | 18.8559i | −0.266347 | − | 0.678640i | ||||
\(773\) | 9.91769 | + | 4.77611i | 0.356714 | + | 0.171785i | 0.603654 | − | 0.797246i | \(-0.293711\pi\) |
−0.246940 | + | 0.969031i | \(0.579425\pi\) | |||||||
\(774\) | 62.3629 | + | 25.8694i | 2.24159 | + | 0.929858i | ||||
\(775\) | 2.84110 | + | 5.89961i | 0.102055 | + | 0.211920i | ||||
\(776\) | 70.6966 | + | 21.8070i | 2.53786 | + | 0.782826i | ||||
\(777\) | 4.18841 | − | 2.46669i | 0.150258 | − | 0.0884919i | ||||
\(778\) | −40.0383 | + | 12.3502i | −1.43544 | + | 0.442775i | ||||
\(779\) | −11.8306 | − | 12.7504i | −0.423877 | − | 0.456830i | ||||
\(780\) | −54.8467 | + | 111.145i | −1.96383 | + | 3.97965i | ||||
\(781\) | −38.2060 | − | 11.7850i | −1.36712 | − | 0.421700i | ||||
\(782\) | 1.65070 | + | 0.794935i | 0.0590289 | + | 0.0284268i | ||||
\(783\) | −19.8468 | + | 20.1900i | −0.709266 | + | 0.721531i | ||||
\(784\) | −100.551 | + | 35.0831i | −3.59110 | + | 1.25297i | ||||
\(785\) | −21.8611 | − | 12.6215i | −0.780255 | − | 0.450480i | ||||
\(786\) | −0.612801 | + | 63.7700i | −0.0218579 | + | 2.27460i | ||||
\(787\) | 24.1173 | + | 25.9923i | 0.859690 | + | 0.926525i | 0.997958 | − | 0.0638694i | \(-0.0203441\pi\) |
−0.138268 | + | 0.990395i | \(0.544154\pi\) | |||||||
\(788\) | 92.1424 | + | 36.1632i | 3.28244 | + | 1.28826i | ||||
\(789\) | 0.218106 | + | 1.54781i | 0.00776476 | + | 0.0551036i | ||||
\(790\) | 53.7240 | − | 57.9007i | 1.91141 | − | 2.06001i | ||||
\(791\) | 2.56496 | − | 45.3108i | 0.0911995 | − | 1.61107i | ||||
\(792\) | 90.4106 | − | 59.1283i | 3.21260 | − | 2.10103i | ||||
\(793\) | 26.3063 | − | 12.6685i | 0.934166 | − | 0.449870i | ||||
\(794\) | −26.1499 | − | 24.2636i | −0.928025 | − | 0.861081i | ||||
\(795\) | 58.9304 | − | 33.2726i | 2.09005 | − | 1.18006i | ||||
\(796\) | −22.2485 | + | 147.609i | −0.788577 | + | 5.23187i | ||||
\(797\) | −1.48952 | − | 19.8762i | −0.0527615 | − | 0.704053i | −0.959383 | − | 0.282108i | \(-0.908967\pi\) |
0.906621 | − | 0.421945i | \(-0.138653\pi\) | |||||||
\(798\) | 38.9103 | − | 9.23553i | 1.37741 | − | 0.326934i | ||||
\(799\) | 0.961166 | − | 12.8259i | 0.0340036 | − | 0.453747i | ||||
\(800\) | 110.753 | + | 25.2786i | 3.91570 | + | 0.893733i | ||||
\(801\) | −4.72333 | − | 22.6963i | −0.166891 | − | 0.801936i | ||||
\(802\) | 33.4202 | 1.18011 | ||||||||
\(803\) | 19.2798 | − | 33.3936i | 0.680369 | − | 1.17843i | ||||
\(804\) | −71.0417 | − | 67.1989i | −2.50545 | − | 2.36992i | ||||
\(805\) | −1.27833 | + | 1.66441i | −0.0450552 | + | 0.0586626i | ||||
\(806\) | −13.5835 | − | 5.33115i | −0.478460 | − | 0.187782i | ||||
\(807\) | 32.2422 | + | 15.9105i | 1.13498 | + | 0.560076i | ||||
\(808\) | −86.3743 | − | 6.47286i | −3.03864 | − | 0.227714i | ||||
\(809\) | −20.8332 | − | 43.2606i | −0.732457 | − | 1.52096i | −0.849357 | − | 0.527818i | \(-0.823010\pi\) |
0.116901 | − | 0.993144i | \(-0.462704\pi\) | |||||||
\(810\) | 59.1469 | + | 51.0069i | 2.07821 | + | 1.79220i | ||||
\(811\) | −11.6714 | + | 9.30762i | −0.409838 | + | 0.326835i | −0.806612 | − | 0.591082i | \(-0.798701\pi\) |
0.396774 | + | 0.917916i | \(0.370130\pi\) | |||||||
\(812\) | −40.8589 | − | 67.8777i | −1.43387 | − | 2.38204i | ||||
\(813\) | 19.1004 | + | 4.55307i | 0.669879 | + | 0.159683i | ||||
\(814\) | −5.46286 | − | 9.46195i | −0.191473 | − | 0.331641i | ||||
\(815\) | 6.73086 | + | 11.6582i | 0.235772 | + | 0.408368i | ||||
\(816\) | 51.1896 | + | 48.4206i | 1.79199 | + | 1.69506i | ||||
\(817\) | 17.8209 | − | 19.2064i | 0.623476 | − | 0.671947i | ||||
\(818\) | 20.2378 | − | 9.74600i | 0.707597 | − | 0.340761i | ||||
\(819\) | −11.8823 | − | 30.3618i | −0.415200 | − | 1.06093i | ||||
\(820\) | 85.6468 | + | 41.2453i | 2.99092 | + | 1.44035i | ||||
\(821\) | −20.3524 | + | 7.98771i | −0.710302 | + | 0.278773i | −0.692857 | − | 0.721075i | \(-0.743648\pi\) |
−0.0174449 | + | 0.999848i | \(0.505553\pi\) | |||||||
\(822\) | 27.5161 | + | 48.7349i | 0.959736 | + | 1.69983i | ||||
\(823\) | −38.0535 | + | 11.7379i | −1.32646 | + | 0.409159i | −0.875428 | − | 0.483349i | \(-0.839420\pi\) |
−0.451032 | + | 0.892508i | \(0.648944\pi\) | |||||||
\(824\) | 35.9886 | + | 24.5366i | 1.25372 | + | 0.854773i | ||||
\(825\) | 30.4955 | + | 12.3081i | 1.06172 | + | 0.428511i | ||||
\(826\) | −15.8321 | − | 2.09155i | −0.550870 | − | 0.0727744i | ||||
\(827\) | −9.40234 | − | 2.14602i | −0.326951 | − | 0.0746245i | 0.0558946 | − | 0.998437i | \(-0.482199\pi\) |
−0.382846 | + | 0.923812i | \(0.625056\pi\) | |||||||
\(828\) | 2.25841 | + | 3.45323i | 0.0784850 | + | 0.120008i | ||||
\(829\) | 26.3246 | − | 20.9932i | 0.914290 | − | 0.729122i | −0.0486559 | − | 0.998816i | \(-0.515494\pi\) |
0.962946 | + | 0.269693i | \(0.0869223\pi\) | |||||||
\(830\) | −9.58140 | + | 31.0621i | −0.332575 | + | 1.07818i | ||||
\(831\) | −22.8959 | + | 38.7911i | −0.794249 | + | 1.34565i | ||||
\(832\) | −110.999 | + | 64.0854i | −3.84820 | + | 2.22176i | ||||
\(833\) | −7.46983 | − | 17.1630i | −0.258814 | − | 0.594662i | ||||
\(834\) | 13.0719 | − | 6.14108i | 0.452644 | − | 0.212648i | ||||
\(835\) | 55.6747 | − | 37.9584i | 1.92670 | − | 1.31360i | ||||
\(836\) | −14.6654 | − | 64.2535i | −0.507215 | − | 2.22225i | ||||
\(837\) | −3.95689 | + | 5.45872i | −0.136770 | + | 0.188681i | ||||
\(838\) | −91.5215 | + | 20.8892i | −3.16156 | + | 0.721605i | ||||
\(839\) | 2.54994 | + | 2.36600i | 0.0880338 | + | 0.0816834i | 0.722962 | − | 0.690887i | \(-0.242780\pi\) |
−0.634929 | + | 0.772571i | \(0.718970\pi\) | |||||||
\(840\) | −114.189 | + | 79.3068i | −3.93989 | + | 2.73635i | ||||
\(841\) | 0.503089 | − | 0.466798i | 0.0173479 | − | 0.0160965i | ||||
\(842\) | −8.58640 | + | 12.5939i | −0.295907 | + | 0.434016i | ||||
\(843\) | 6.17652 | − | 19.3613i | 0.212731 | − | 0.666838i | ||||
\(844\) | −70.3209 | + | 47.9439i | −2.42054 | + | 1.65030i | ||||
\(845\) | 7.65479 | − | 9.59880i | 0.263333 | − | 0.330209i | ||||
\(846\) | 22.8783 | − | 32.2086i | 0.786572 | − | 1.10735i | ||||
\(847\) | 1.39408 | + | 8.22731i | 0.0479013 | + | 0.282694i | ||||
\(848\) | 187.012 | + | 14.0146i | 6.42203 | + | 0.481265i | ||||
\(849\) | −24.8554 | − | 27.3094i | −0.853035 | − | 0.937257i | ||||
\(850\) | −5.50671 | + | 36.5346i | −0.188878 | + | 1.25313i | ||||
\(851\) | 0.229885 | − | 0.132724i | 0.00788035 | − | 0.00454972i | ||||
\(852\) | 57.7891 | − | 83.0354i | 1.97982 | − | 2.84475i | ||||
\(853\) | −31.3093 | + | 12.2880i | −1.07201 | + | 0.420734i | −0.834703 | − | 0.550701i | \(-0.814361\pi\) |
−0.237309 | + | 0.971434i | \(0.576265\pi\) | |||||||
\(854\) | 51.4064 | + | 2.91002i | 1.75909 | + | 0.0995788i | ||||
\(855\) | 26.5349 | − | 14.6474i | 0.907476 | − | 0.500930i | ||||
\(856\) | −15.2498 | − | 19.1226i | −0.521227 | − | 0.653598i | ||||
\(857\) | 2.96890 | − | 39.6172i | 0.101416 | − | 1.35330i | −0.681796 | − | 0.731542i | \(-0.738801\pi\) |
0.783212 | − | 0.621755i | \(-0.213580\pi\) | |||||||
\(858\) | −68.4731 | + | 26.1172i | −2.33763 | + | 0.891627i | ||||
\(859\) | 36.7067 | + | 14.4063i | 1.25241 | + | 0.491537i | 0.896526 | − | 0.442992i | \(-0.146083\pi\) |
0.355889 | + | 0.934528i | \(0.384178\pi\) | |||||||
\(860\) | −52.3145 | + | 133.295i | −1.78391 | + | 4.54533i | ||||
\(861\) | −23.1983 | + | 9.33682i | −0.790594 | + | 0.318198i | ||||
\(862\) | −25.1097 | − | 63.9784i | −0.855239 | − | 2.17911i | ||||
\(863\) | 30.8901i | 1.05151i | 0.850635 | + | 0.525756i | \(0.176218\pi\) | ||||
−0.850635 | + | 0.525756i | \(0.823782\pi\) | |||||||
\(864\) | 31.2403 | + | 112.716i | 1.06282 | + | 3.83469i | ||||
\(865\) | 8.37699 | − | 10.5044i | 0.284826 | − | 0.357161i | ||||
\(866\) | −36.7402 | − | 34.0899i | −1.24848 | − | 1.15842i | ||||
\(867\) | 10.7645 | − | 13.2353i | 0.365581 | − | 0.449495i | ||||
\(868\) | −12.0306 | − | 14.5336i | −0.408344 | − | 0.493301i | ||||
\(869\) | 34.1466 | − | 2.55893i | 1.15834 | − | 0.0868058i | ||||
\(870\) | −59.4961 | − | 56.2778i | −2.01711 | − | 1.90800i | ||||
\(871\) | 23.7706 | + | 34.8651i | 0.805437 | + | 1.18136i | ||||
\(872\) | 42.4666 | + | 9.69272i | 1.43810 | + | 0.328237i | ||||
\(873\) | −16.0961 | + | 16.6923i | −0.544769 | + | 0.564948i | ||||
\(874\) | 2.12917 | − | 0.485969i | 0.0720202 | − | 0.0164381i | ||||
\(875\) | −0.366964 | − | 0.136347i | −0.0124056 | − | 0.00460938i | ||||
\(876\) | 65.6712 | + | 72.1551i | 2.21882 | + | 2.43789i | ||||
\(877\) | 0.401403 | − | 0.372448i | 0.0135544 | − | 0.0125767i | −0.673366 | − | 0.739309i | \(-0.735152\pi\) |
0.686921 | + | 0.726732i | \(0.258962\pi\) | |||||||
\(878\) | −7.76821 | + | 19.7931i | −0.262164 | + | 0.667984i | ||||
\(879\) | 16.8554 | − | 41.7624i | 0.568520 | − | 1.40861i | ||||
\(880\) | 102.197 | + | 149.896i | 3.44506 | + | 5.05298i | ||||
\(881\) | 46.2033 | 1.55663 | 0.778314 | − | 0.627876i | \(-0.216075\pi\) | ||||
0.778314 | + | 0.627876i | \(0.216075\pi\) | |||||||
\(882\) | 7.58527 | − | 56.9928i | 0.255409 | − | 1.91905i | ||||
\(883\) | 2.37824 | 0.0800343 | 0.0400171 | − | 0.999199i | \(-0.487259\pi\) | ||||
0.0400171 | + | 0.999199i | \(0.487259\pi\) | |||||||
\(884\) | −34.0066 | − | 49.8785i | −1.14376 | − | 1.67759i | ||||
\(885\) | −11.9849 | + | 1.68882i | −0.402869 | + | 0.0567692i | ||||
\(886\) | 32.9008 | − | 83.8299i | 1.10532 | − | 2.81632i | ||||
\(887\) | −19.7725 | + | 18.3462i | −0.663896 | + | 0.616006i | −0.938388 | − | 0.345584i | \(-0.887681\pi\) |
0.274492 | + | 0.961589i | \(0.411490\pi\) | |||||||
\(888\) | 17.1807 | − | 3.74807i | 0.576548 | − | 0.125777i | ||||
\(889\) | 0.875827 | − | 6.62962i | 0.0293743 | − | 0.222350i | ||||
\(890\) | 65.3790 | − | 14.9223i | 2.19151 | − | 0.500198i | ||||
\(891\) | 3.75617 | + | 33.6506i | 0.125836 | + | 1.12734i | ||||
\(892\) | 104.825 | + | 23.9255i | 3.50978 | + | 0.801085i | ||||
\(893\) | −8.63649 | − | 12.6674i | −0.289009 | − | 0.423899i | ||||
\(894\) | −0.557535 | + | 2.33889i | −0.0186468 | + | 0.0782242i | ||||
\(895\) | −64.9822 | + | 4.86974i | −2.17212 | + | 0.162778i | ||||
\(896\) | −106.892 | + | 1.95122i | −3.57101 | + | 0.0651855i | ||||
\(897\) | −0.634536 | − | 1.66360i | −0.0211865 | − | 0.0555460i | ||||
\(898\) | 7.14785 | + | 6.63224i | 0.238527 | + | 0.221321i | ||||
\(899\) | 4.40773 | − | 5.52711i | 0.147006 | − | 0.184340i | ||||
\(900\) | −53.1206 | + | 64.0464i | −1.77069 | + | 2.13488i | ||||
\(901\) | 32.9622i | 1.09813i | ||||||||
\(902\) | 20.5351 | + | 52.3227i | 0.683745 | + | 1.74215i | ||||
\(903\) | −16.6365 | − | 33.7957i | −0.553627 | − | 1.12465i | ||||
\(904\) | 59.9827 | − | 152.833i | 1.99499 | − | 5.08316i | ||||
\(905\) | −4.78722 | − | 1.87885i | −0.159133 | − | 0.0624550i | ||||
\(906\) | 2.39145 | − | 14.8937i | 0.0794506 | − | 0.494810i | ||||
\(907\) | 0.884233 | − | 11.7993i | 0.0293605 | − | 0.391788i | −0.963093 | − | 0.269168i | \(-0.913251\pi\) |
0.992454 | − | 0.122620i | \(-0.0391297\pi\) | |||||||
\(908\) | −63.2496 | − | 79.3125i | −2.09901 | − | 2.63208i | ||||
\(909\) | 14.0235 | − | 23.2459i | 0.465129 | − | 0.771018i | ||||
\(910\) | 87.1507 | − | 36.0533i | 2.88902 | − | 1.19516i | ||||
\(911\) | −49.5082 | + | 19.4305i | −1.64028 | + | 0.643762i | −0.992959 | − | 0.118457i | \(-0.962205\pi\) |
−0.647319 | + | 0.762219i | \(0.724110\pi\) | |||||||
\(912\) | 83.6925 | + | 7.08124i | 2.77134 | + | 0.234483i | ||||
\(913\) | −12.2043 | + | 7.04615i | −0.403903 | + | 0.233193i | ||||
\(914\) | 9.47630 | − | 62.8711i | 0.313448 | − | 2.07959i | ||||
\(915\) | 38.1264 | − | 8.31747i | 1.26042 | − | 0.274967i | ||||
\(916\) | −93.0161 | − | 6.97059i | −3.07334 | − | 0.230315i | ||||
\(917\) | 23.7208 | − | 26.5196i | 0.783329 | − | 0.875756i | ||||
\(918\) | −35.7978 | + | 12.8717i | −1.18150 | + | 0.424828i | ||||
\(919\) | −19.6946 | + | 24.6963i | −0.649666 | + | 0.814656i | −0.992174 | − | 0.124859i | \(-0.960152\pi\) |
0.342508 | + | 0.939515i | \(0.388724\pi\) | |||||||
\(920\) | −6.27304 | + | 4.27689i | −0.206816 | + | 0.141005i | ||||
\(921\) | 10.8286 | − | 2.36231i | 0.356814 | − | 0.0778409i | ||||
\(922\) | −19.5436 | + | 28.6652i | −0.643635 | + | 0.944039i | ||||
\(923\) | −32.0011 | + | 29.6927i | −1.05333 | + | 0.977346i | ||||
\(924\) | −93.8130 | − | 13.3119i | −3.08622 | − | 0.437928i | ||||
\(925\) | 3.92408 | + | 3.64102i | 0.129023 | + | 0.119716i | ||||
\(926\) | −79.9845 | + | 18.2559i | −2.62845 | + | 0.599928i | ||||
\(927\) | −11.9521 | + | 6.59761i | −0.392559 | + | 0.216694i | ||||
\(928\) | −27.2913 | − | 119.571i | −0.895882 | − | 3.92512i | ||||
\(929\) | 7.40816 | − | 5.05080i | 0.243054 | − | 0.165711i | −0.435666 | − | 0.900108i | \(-0.643487\pi\) |
0.678720 | + | 0.734397i | \(0.262535\pi\) | |||||||
\(930\) | −16.0075 | − | 11.1405i | −0.524907 | − | 0.365313i | ||||
\(931\) | −19.7171 | − | 10.4434i | −0.646202 | − | 0.342269i | ||||
\(932\) | −2.08382 | + | 1.20309i | −0.0682576 | + | 0.0394086i | ||||
\(933\) | 6.39337 | + | 11.3235i | 0.209309 | + | 0.370716i | ||||
\(934\) | 8.62930 | − | 27.9755i | 0.282359 | − | 0.915386i | ||||
\(935\) | −24.9302 | + | 19.8812i | −0.815306 | + | 0.650185i | ||||
\(936\) | −6.55251 | − | 117.769i | −0.214175 | − | 3.84940i | ||||
\(937\) | 18.3532 | + | 4.18899i | 0.599572 | + | 0.136848i | 0.511526 | − | 0.859268i | \(-0.329080\pi\) |
0.0880465 | + | 0.996116i | \(0.471938\pi\) | |||||||
\(938\) | 6.91425 | + | 74.0907i | 0.225758 | + | 2.41915i | ||||
\(939\) | −6.54342 | − | 46.4362i | −0.213537 | − | 1.51539i | ||||
\(940\) | 69.2309 | + | 47.2008i | 2.25806 | + | 1.53952i | ||||
\(941\) | −5.73706 | + | 1.76965i | −0.187023 | + | 0.0576889i | −0.386852 | − | 0.922142i | \(-0.626438\pi\) |
0.199829 | + | 0.979831i | \(0.435961\pi\) | |||||||
\(942\) | 37.7645 | + | 0.362900i | 1.23043 | + | 0.0118239i | ||||
\(943\) | −1.27122 | + | 0.498916i | −0.0413965 | + | 0.0162469i | ||||
\(944\) | −30.2187 | − | 14.5526i | −0.983536 | − | 0.473646i | ||||
\(945\) | −6.03854 | − | 43.1551i | −0.196434 | − | 1.40383i | ||||
\(946\) | −76.2836 | + | 36.7363i | −2.48020 | + | 1.19440i | ||||
\(947\) | −4.85236 | + | 5.22960i | −0.157680 | + | 0.169939i | −0.806951 | − | 0.590618i | \(-0.798884\pi\) |
0.649270 | + | 0.760558i | \(0.275074\pi\) | |||||||
\(948\) | −20.0904 | + | 84.2805i | −0.652507 | + | 2.73730i | ||||
\(949\) | −21.0506 | − | 36.4607i | −0.683332 | − | 1.18356i | ||||
\(950\) | 22.0207 | + | 38.1410i | 0.714447 | + | 1.23746i | ||||
\(951\) | 16.7124 | − | 17.6681i | 0.541936 | − | 0.572927i | ||||
\(952\) | −6.29202 | − | 67.4231i | −0.203925 | − | 2.18520i | ||||
\(953\) | −20.1991 | + | 16.1083i | −0.654313 | + | 0.521797i | −0.893435 | − | 0.449192i | \(-0.851712\pi\) |
0.239122 | + | 0.970990i | \(0.423140\pi\) | |||||||
\(954\) | −52.3000 | + | 86.6947i | −1.69327 | + | 2.80685i | ||||
\(955\) | −19.6610 | − | 40.8264i | −0.636214 | − | 1.32111i | ||||
\(956\) | 117.572 | + | 8.81081i | 3.80255 | + | 0.284962i | ||||
\(957\) | −2.31289 | − | 35.4286i | −0.0747651 | − | 1.14524i | ||||
\(958\) | 32.1801 | + | 12.6298i | 1.03969 | + | 0.408049i | ||||
\(959\) | 6.39145 | − | 30.5638i | 0.206391 | − | 0.986957i | ||||
\(960\) | −164.168 | + | 48.9166i | −5.29850 | + | 1.57877i | ||||
\(961\) | −14.6582 | + | 25.3888i | −0.472847 | + | 0.818994i | ||||
\(962\) | −11.9292 | −0.384614 | ||||||||
\(963\) | 7.50532 | − | 1.56193i | 0.241856 | − | 0.0503325i | ||||
\(964\) | 54.1069 | + | 12.3496i | 1.74267 | + | 0.397752i | ||||
\(965\) | −0.873013 | + | 11.6496i | −0.0281033 | + | 0.375012i | ||||
\(966\) | 0.441115 | − | 3.10868i | 0.0141927 | − | 0.100020i | ||||
\(967\) | 2.48170 | + | 33.1160i | 0.0798061 | + | 1.06494i | 0.883047 | + | 0.469284i | \(0.155488\pi\) |
−0.803241 | + | 0.595654i | \(0.796893\pi\) | |||||||
\(968\) | −4.49930 | + | 29.8509i | −0.144613 | + | 0.959444i | ||||
\(969\) | −0.141856 | + | 14.7620i | −0.00455708 | + | 0.474224i | ||||
\(970\) | −49.1716 | − | 45.6246i | −1.57881 | − | 1.46492i | ||||
\(971\) | −0.597729 | + | 0.287851i | −0.0191820 | + | 0.00923758i | −0.443450 | − | 0.896299i | \(-0.646246\pi\) |
0.424268 | + | 0.905537i | \(0.360531\pi\) | |||||||
\(972\) | −84.0056 | − | 16.8230i | −2.69448 | − | 0.539598i | ||||
\(973\) | −7.74194 | − | 2.23417i | −0.248195 | − | 0.0716242i | ||||
\(974\) | 20.8934 | − | 22.5177i | 0.669468 | − | 0.721515i | ||||
\(975\) | 28.2863 | − | 22.1163i | 0.905887 | − | 0.708288i | ||||
\(976\) | 100.664 | + | 39.5076i | 3.22217 | + | 1.26461i | ||||
\(977\) | 34.4845 | + | 37.1655i | 1.10326 | + | 1.18903i | 0.980485 | + | 0.196594i | \(0.0629881\pi\) |
0.122773 | + | 0.992435i | \(0.460821\pi\) | |||||||
\(978\) | −17.3443 | − | 10.2372i | −0.554611 | − | 0.327350i | ||||
\(979\) | 25.1774 | + | 14.5362i | 0.804673 | + | 0.464578i | ||||
\(980\) | 121.163 | + | 13.7617i | 3.87040 | + | 0.439601i | ||||
\(981\) | −8.71584 | + | 10.5085i | −0.278275 | + | 0.335511i | ||||
\(982\) | 101.194 | + | 48.7325i | 3.22923 | + | 1.55512i | ||||
\(983\) | 5.98602 | + | 1.84644i | 0.190924 | + | 0.0588924i | 0.388743 | − | 0.921346i | \(-0.372909\pi\) |
−0.197818 | + | 0.980239i | \(0.563386\pi\) | |||||||
\(984\) | −90.2742 | + | 5.89338i | −2.87784 | + | 0.187874i | ||||
\(985\) | −38.8290 | − | 41.8477i | −1.23719 | − | 1.33338i | ||||
\(986\) | 38.1170 | − | 11.7575i | 1.21389 | − | 0.374436i | ||||
\(987\) | −21.4461 | + | 5.09033i | −0.682637 | + | 0.162027i | ||||
\(988\) | −68.7623 | − | 21.2104i | −2.18762 | − | 0.674792i | ||||
\(989\) | −0.892533 | − | 1.85336i | −0.0283809 | − | 0.0589336i | ||||
\(990\) | −97.1143 | + | 12.7341i | −3.08650 | + | 0.404717i | ||||
\(991\) | −39.2482 | − | 18.9009i | −1.24676 | − | 0.600408i | −0.310119 | − | 0.950698i | \(-0.600369\pi\) |
−0.936642 | + | 0.350289i | \(0.886083\pi\) | |||||||
\(992\) | −10.6704 | − | 27.1878i | −0.338786 | − | 0.863214i | ||||
\(993\) | −26.2323 | + | 44.4439i | −0.832457 | + | 1.41038i | ||||
\(994\) | −74.7271 | + | 18.4971i | −2.37020 | + | 0.586693i | ||||
\(995\) | 48.4969 | − | 71.1319i | 1.53746 | − | 2.25503i | ||||
\(996\) | −7.60006 | − | 34.8378i | −0.240817 | − | 1.10388i | ||||
\(997\) | −0.680145 | + | 0.266937i | −0.0215404 | + | 0.00845398i | −0.376087 | − | 0.926584i | \(-0.622731\pi\) |
0.354546 | + | 0.935038i | \(0.384635\pi\) | |||||||
\(998\) | 79.6678i | 2.52184i | ||||||||
\(999\) | −1.38082 | + | 5.33585i | −0.0436874 | + | 0.168819i |
(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 | 441.2.bh.a.20.1 | ✓ | 648 | |
9.5 | odd | 6 | inner | 441.2.bh.a.167.1 | yes | 648 | |
49.27 | odd | 14 | inner | 441.2.bh.a.272.1 | yes | 648 | |
441.419 | even | 42 | inner | 441.2.bh.a.419.1 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bh.a.20.1 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.bh.a.167.1 | yes | 648 | 9.5 | odd | 6 | inner | |
441.2.bh.a.272.1 | yes | 648 | 49.27 | odd | 14 | inner | |
441.2.bh.a.419.1 | yes | 648 | 441.419 | even | 42 | inner |