Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(8,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.u (of order \(12\), degree \(4\), 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: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 8.8 | ||
Character | \(\chi\) | \(=\) | 185.8 |
Dual form | 185.2.u.a.162.8 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.614089 | + | 0.354544i | −0.434226 | + | 0.250701i | −0.701146 | − | 0.713018i | \(-0.747328\pi\) |
0.266919 | + | 0.963719i | \(0.413994\pi\) | |||||||
\(3\) | −0.0751630 | − | 0.280512i | −0.0433954 | − | 0.161954i | 0.940828 | − | 0.338885i | \(-0.110050\pi\) |
−0.984223 | + | 0.176931i | \(0.943383\pi\) | |||||||
\(4\) | −0.748597 | + | 1.29661i | −0.374298 | + | 0.648304i | ||||
\(5\) | 0.0904746 | − | 2.23424i | 0.0404615 | − | 0.999181i | ||||
\(6\) | 0.145611 | + | 0.145611i | 0.0594454 | + | 0.0594454i | ||||
\(7\) | −0.977086 | − | 3.64653i | −0.369304 | − | 1.37826i | −0.861492 | − | 0.507771i | \(-0.830469\pi\) |
0.492188 | − | 0.870489i | \(-0.336197\pi\) | |||||||
\(8\) | − | 2.47982i | − | 0.876749i | ||||||
\(9\) | 2.52504 | − | 1.45783i | 0.841680 | − | 0.485944i | ||||
\(10\) | 0.736577 | + | 1.40410i | 0.232926 | + | 0.444015i | ||||
\(11\) | 1.50696i | 0.454366i | 0.973852 | + | 0.227183i | \(0.0729516\pi\) | ||||
−0.973852 | + | 0.227183i | \(0.927048\pi\) | |||||||
\(12\) | 0.419981 | + | 0.112534i | 0.121238 | + | 0.0324856i | ||||
\(13\) | 5.45320 | + | 3.14841i | 1.51245 | + | 0.873211i | 0.999894 | + | 0.0145542i | \(0.00463292\pi\) |
0.512551 | + | 0.858657i | \(0.328700\pi\) | |||||||
\(14\) | 1.89288 | + | 1.89288i | 0.505892 | + | 0.505892i | ||||
\(15\) | −0.633531 | + | 0.142553i | −0.163577 | + | 0.0368070i | ||||
\(16\) | −0.617987 | − | 1.07038i | −0.154497 | − | 0.267596i | ||||
\(17\) | −1.90769 | − | 3.30421i | −0.462682 | − | 0.801388i | 0.536412 | − | 0.843956i | \(-0.319779\pi\) |
−0.999094 | + | 0.0425681i | \(0.986446\pi\) | |||||||
\(18\) | −1.03373 | + | 1.79048i | −0.243653 | + | 0.422019i | ||||
\(19\) | −0.325960 | − | 1.21650i | −0.0747803 | − | 0.279084i | 0.918403 | − | 0.395646i | \(-0.129479\pi\) |
−0.993183 | + | 0.116562i | \(0.962813\pi\) | |||||||
\(20\) | 2.82920 | + | 1.78985i | 0.632628 | + | 0.400223i | ||||
\(21\) | −0.949457 | + | 0.548169i | −0.207188 | + | 0.119620i | ||||
\(22\) | −0.534285 | − | 0.925408i | −0.113910 | − | 0.197298i | ||||
\(23\) | − | 5.39709i | − | 1.12537i | −0.826671 | − | 0.562685i | \(-0.809768\pi\) | ||
0.826671 | − | 0.562685i | \(-0.190232\pi\) | |||||||
\(24\) | −0.695620 | + | 0.186391i | −0.141993 | + | 0.0380469i | ||||
\(25\) | −4.98363 | − | 0.404283i | −0.996726 | − | 0.0808566i | ||||
\(26\) | −4.46500 | −0.875658 | ||||||||
\(27\) | −1.21478 | − | 1.21478i | −0.233784 | − | 0.233784i | ||||
\(28\) | 5.45956 | + | 1.46289i | 1.03176 | + | 0.276459i | ||||
\(29\) | −0.292662 | − | 0.292662i | −0.0543460 | − | 0.0543460i | 0.679411 | − | 0.733757i | \(-0.262235\pi\) |
−0.733757 | + | 0.679411i | \(0.762235\pi\) | |||||||
\(30\) | 0.338503 | − | 0.312155i | 0.0618019 | − | 0.0569914i | ||||
\(31\) | −5.70880 | + | 5.70880i | −1.02533 | + | 1.02533i | −0.0256598 | + | 0.999671i | \(0.508169\pi\) |
−0.999671 | + | 0.0256598i | \(0.991831\pi\) | |||||||
\(32\) | 5.05417 | + | 2.91803i | 0.893460 | + | 0.515839i | ||||
\(33\) | 0.422721 | − | 0.113268i | 0.0735863 | − | 0.0197174i | ||||
\(34\) | 2.34298 | + | 1.35272i | 0.401817 | + | 0.231989i | ||||
\(35\) | −8.23562 | + | 1.85312i | −1.39207 | + | 0.313235i | ||||
\(36\) | 4.36531i | 0.727552i | ||||||||
\(37\) | 3.37690 | + | 5.05930i | 0.555159 | + | 0.831744i | ||||
\(38\) | 0.631471 | + | 0.631471i | 0.102438 | + | 0.102438i | ||||
\(39\) | 0.473288 | − | 1.76633i | 0.0757867 | − | 0.282840i | ||||
\(40\) | −5.54051 | − | 0.224361i | −0.876031 | − | 0.0354745i | ||||
\(41\) | 3.07799 | + | 1.77708i | 0.480702 | + | 0.277533i | 0.720709 | − | 0.693238i | \(-0.243816\pi\) |
−0.240007 | + | 0.970771i | \(0.577150\pi\) | |||||||
\(42\) | 0.388700 | − | 0.673249i | 0.0599778 | − | 0.103885i | ||||
\(43\) | − | 1.46042i | − | 0.222711i | −0.993781 | − | 0.111356i | \(-0.964481\pi\) | ||
0.993781 | − | 0.111356i | \(-0.0355193\pi\) | |||||||
\(44\) | −1.95394 | − | 1.12811i | −0.294567 | − | 0.170068i | ||||
\(45\) | −3.02869 | − | 5.77343i | −0.451490 | − | 0.860652i | ||||
\(46\) | 1.91351 | + | 3.31429i | 0.282131 | + | 0.488665i | ||||
\(47\) | 0.209535 | − | 0.209535i | 0.0305638 | − | 0.0305638i | −0.691660 | − | 0.722224i | \(-0.743120\pi\) |
0.722224 | + | 0.691660i | \(0.243120\pi\) | |||||||
\(48\) | −0.253806 | + | 0.253806i | −0.0366338 | + | 0.0366338i | ||||
\(49\) | −6.28033 | + | 3.62595i | −0.897190 | + | 0.517993i | ||||
\(50\) | 3.20373 | − | 1.51865i | 0.453075 | − | 0.214770i | ||||
\(51\) | −0.783484 | + | 0.783484i | −0.109710 | + | 0.109710i | ||||
\(52\) | −8.16449 | + | 4.71377i | −1.13221 | + | 0.653683i | ||||
\(53\) | 0.0299754 | − | 0.111870i | 0.00411744 | − | 0.0153665i | −0.963837 | − | 0.266494i | \(-0.914135\pi\) |
0.967954 | + | 0.251128i | \(0.0808014\pi\) | |||||||
\(54\) | 1.17667 | + | 0.315289i | 0.160125 | + | 0.0429054i | ||||
\(55\) | 3.36691 | + | 0.136342i | 0.453994 | + | 0.0183843i | ||||
\(56\) | −9.04275 | + | 2.42300i | −1.20839 | + | 0.323787i | ||||
\(57\) | −0.316743 | + | 0.182872i | −0.0419536 | + | 0.0242219i | ||||
\(58\) | 0.283482 | + | 0.0759589i | 0.0372231 | + | 0.00997389i | ||||
\(59\) | 9.41014 | + | 2.52144i | 1.22510 | + | 0.328264i | 0.812668 | − | 0.582727i | \(-0.198014\pi\) |
0.412428 | + | 0.910990i | \(0.364681\pi\) | |||||||
\(60\) | 0.289424 | − | 0.928156i | 0.0373645 | − | 0.119824i | ||||
\(61\) | 2.46413 | + | 9.19626i | 0.315500 | + | 1.17746i | 0.923523 | + | 0.383542i | \(0.125296\pi\) |
−0.608024 | + | 0.793919i | \(0.708038\pi\) | |||||||
\(62\) | 1.48169 | − | 5.52973i | 0.188174 | − | 0.702277i | ||||
\(63\) | −7.78321 | − | 7.78321i | −0.980592 | − | 0.980592i | ||||
\(64\) | −1.66633 | −0.208292 | ||||||||
\(65\) | 7.52766 | − | 11.8989i | 0.933691 | − | 1.47588i | ||||
\(66\) | −0.219430 | + | 0.219430i | −0.0270100 | + | 0.0270100i | ||||
\(67\) | 0.403336 | − | 0.108074i | 0.0492754 | − | 0.0132033i | −0.234097 | − | 0.972213i | \(-0.575213\pi\) |
0.283373 | + | 0.959010i | \(0.408547\pi\) | |||||||
\(68\) | 5.71235 | 0.692724 | ||||||||
\(69\) | −1.51395 | + | 0.405661i | −0.182258 | + | 0.0488359i | ||||
\(70\) | 4.40039 | − | 4.05787i | 0.525947 | − | 0.485009i | ||||
\(71\) | −0.320628 | + | 0.555343i | −0.0380515 | + | 0.0659071i | −0.884424 | − | 0.466684i | \(-0.845448\pi\) |
0.846372 | + | 0.532591i | \(0.178782\pi\) | |||||||
\(72\) | −3.61516 | − | 6.26164i | −0.426051 | − | 0.737942i | ||||
\(73\) | −5.20459 | + | 5.20459i | −0.609151 | + | 0.609151i | −0.942724 | − | 0.333573i | \(-0.891745\pi\) |
0.333573 | + | 0.942724i | \(0.391745\pi\) | |||||||
\(74\) | −3.86747 | − | 1.90960i | −0.449584 | − | 0.221986i | ||||
\(75\) | 0.261178 | + | 1.42836i | 0.0301583 | + | 0.164932i | ||||
\(76\) | 1.82133 | + | 0.488025i | 0.208921 | + | 0.0559803i | ||||
\(77\) | 5.49519 | − | 1.47243i | 0.626235 | − | 0.167799i | ||||
\(78\) | 0.335603 | + | 1.25249i | 0.0379995 | + | 0.141816i | ||||
\(79\) | 4.37507 | + | 16.3280i | 0.492233 | + | 1.83704i | 0.545004 | + | 0.838433i | \(0.316528\pi\) |
−0.0527705 | + | 0.998607i | \(0.516805\pi\) | |||||||
\(80\) | −2.44740 | + | 1.28389i | −0.273628 | + | 0.143543i | ||||
\(81\) | 4.12404 | − | 7.14305i | 0.458227 | − | 0.793672i | ||||
\(82\) | −2.52022 | −0.278311 | ||||||||
\(83\) | 0.812699 | − | 3.03303i | 0.0892053 | − | 0.332919i | −0.906872 | − | 0.421406i | \(-0.861537\pi\) |
0.996077 | + | 0.0884875i | \(0.0282033\pi\) | |||||||
\(84\) | − | 1.64143i | − | 0.179095i | ||||||
\(85\) | −7.55498 | + | 3.96327i | −0.819453 | + | 0.429878i | ||||
\(86\) | 0.517783 | + | 0.896826i | 0.0558339 | + | 0.0967072i | ||||
\(87\) | −0.0600980 | + | 0.104093i | −0.00644318 | + | 0.0111599i | ||||
\(88\) | 3.73699 | 0.398365 | ||||||||
\(89\) | 2.52612 | − | 9.42760i | 0.267768 | − | 0.999323i | −0.692766 | − | 0.721162i | \(-0.743608\pi\) |
0.960534 | − | 0.278161i | \(-0.0897250\pi\) | |||||||
\(90\) | 3.90682 | + | 2.47159i | 0.411815 | + | 0.260529i | ||||
\(91\) | 6.15253 | − | 22.9615i | 0.644960 | − | 2.40702i | ||||
\(92\) | 6.99790 | + | 4.04024i | 0.729582 | + | 0.421224i | ||||
\(93\) | 2.03048 | + | 1.17230i | 0.210551 | + | 0.121562i | ||||
\(94\) | −0.0543835 | + | 0.202962i | −0.00560923 | + | 0.0209339i | ||||
\(95\) | −2.74744 | + | 0.618210i | −0.281881 | + | 0.0634270i | ||||
\(96\) | 0.438656 | − | 1.63709i | 0.0447701 | − | 0.167084i | ||||
\(97\) | −6.80865 | −0.691313 | −0.345657 | − | 0.938361i | \(-0.612344\pi\) | ||||
−0.345657 | + | 0.938361i | \(0.612344\pi\) | |||||||
\(98\) | 2.57112 | − | 4.45331i | 0.259722 | − | 0.449853i | ||||
\(99\) | 2.19690 | + | 3.80514i | 0.220796 | + | 0.382431i | ||||
\(100\) | 4.25492 | − | 6.15916i | 0.425492 | − | 0.615916i | ||||
\(101\) | − | 6.30514i | − | 0.627385i | −0.949525 | − | 0.313692i | \(-0.898434\pi\) | ||
0.949525 | − | 0.313692i | \(-0.101566\pi\) | |||||||
\(102\) | 0.203349 | − | 0.758908i | 0.0201345 | − | 0.0751431i | ||||
\(103\) | 3.10442 | 0.305887 | 0.152944 | − | 0.988235i | \(-0.451125\pi\) | ||||
0.152944 | + | 0.988235i | \(0.451125\pi\) | |||||||
\(104\) | 7.80748 | − | 13.5230i | 0.765587 | − | 1.32603i | ||||
\(105\) | 1.13884 | + | 2.17091i | 0.111139 | + | 0.211859i | ||||
\(106\) | 0.0212552 | + | 0.0793256i | 0.00206449 | + | 0.00770479i | ||||
\(107\) | 0.549955 | + | 2.05246i | 0.0531661 | + | 0.198419i | 0.987401 | − | 0.158241i | \(-0.0505823\pi\) |
−0.934234 | + | 0.356660i | \(0.883916\pi\) | |||||||
\(108\) | 2.48447 | − | 0.665711i | 0.239068 | − | 0.0640580i | ||||
\(109\) | 12.5084 | + | 3.35161i | 1.19808 | + | 0.321026i | 0.802077 | − | 0.597221i | \(-0.203729\pi\) |
0.396008 | + | 0.918247i | \(0.370395\pi\) | |||||||
\(110\) | −2.11592 | + | 1.10999i | −0.201745 | + | 0.105834i | ||||
\(111\) | 1.16538 | − | 1.32754i | 0.110613 | − | 0.126004i | ||||
\(112\) | −3.29937 | + | 3.29937i | −0.311761 | + | 0.311761i | ||||
\(113\) | 9.13185 | + | 15.8168i | 0.859053 | + | 1.48792i | 0.872834 | + | 0.488018i | \(0.162280\pi\) |
−0.0137811 | + | 0.999905i | \(0.504387\pi\) | |||||||
\(114\) | 0.129672 | − | 0.224599i | 0.0121449 | − | 0.0210356i | ||||
\(115\) | −12.0584 | − | 0.488299i | −1.12445 | − | 0.0455341i | ||||
\(116\) | 0.598554 | − | 0.160382i | 0.0555743 | − | 0.0148911i | ||||
\(117\) | 18.3594 | 1.69733 | ||||||||
\(118\) | −6.67263 | + | 1.78792i | −0.614265 | + | 0.164592i | ||||
\(119\) | −10.1849 | + | 10.1849i | −0.933651 | + | 0.933651i | ||||
\(120\) | 0.353505 | + | 1.57104i | 0.0322705 | + | 0.143416i | ||||
\(121\) | 8.72907 | 0.793551 | ||||||||
\(122\) | −4.77368 | − | 4.77368i | −0.432188 | − | 0.432188i | ||||
\(123\) | 0.267142 | − | 0.996986i | 0.0240873 | − | 0.0898952i | ||||
\(124\) | −3.12848 | − | 11.6757i | −0.280946 | − | 1.04850i | ||||
\(125\) | −1.35416 | + | 11.0980i | −0.121119 | + | 0.992638i | ||||
\(126\) | 7.53908 | + | 2.02009i | 0.671634 | + | 0.179964i | ||||
\(127\) | −12.2220 | − | 3.27489i | −1.08453 | − | 0.290599i | −0.328080 | − | 0.944650i | \(-0.606402\pi\) |
−0.756451 | + | 0.654051i | \(0.773068\pi\) | |||||||
\(128\) | −9.08507 | + | 5.24527i | −0.803014 | + | 0.463620i | ||||
\(129\) | −0.409665 | + | 0.109769i | −0.0360690 | + | 0.00966465i | ||||
\(130\) | −0.403969 | + | 9.97587i | −0.0354304 | + | 0.874941i | ||||
\(131\) | −17.6902 | − | 4.74009i | −1.54560 | − | 0.414143i | −0.617533 | − | 0.786545i | \(-0.711868\pi\) |
−0.928072 | + | 0.372402i | \(0.878534\pi\) | |||||||
\(132\) | −0.169584 | + | 0.632895i | −0.0147604 | + | 0.0550865i | ||||
\(133\) | −4.11751 | + | 2.37725i | −0.357034 | + | 0.206134i | ||||
\(134\) | −0.209367 | + | 0.209367i | −0.0180866 | + | 0.0180866i | ||||
\(135\) | −2.82401 | + | 2.60419i | −0.243052 | + | 0.224133i | ||||
\(136\) | −8.19384 | + | 4.73072i | −0.702616 | + | 0.405656i | ||||
\(137\) | 7.40311 | − | 7.40311i | 0.632490 | − | 0.632490i | −0.316202 | − | 0.948692i | \(-0.602408\pi\) |
0.948692 | + | 0.316202i | \(0.102408\pi\) | |||||||
\(138\) | 0.785874 | − | 0.785874i | 0.0668980 | − | 0.0668980i | ||||
\(139\) | −9.09915 | − | 15.7602i | −0.771780 | − | 1.33676i | −0.936587 | − | 0.350436i | \(-0.886034\pi\) |
0.164807 | − | 0.986326i | \(-0.447300\pi\) | |||||||
\(140\) | 3.76239 | − | 12.0656i | 0.317980 | − | 1.01973i | ||||
\(141\) | −0.0745263 | − | 0.0430278i | −0.00627624 | − | 0.00362359i | ||||
\(142\) | − | 0.454707i | − | 0.0381581i | ||||||
\(143\) | −4.74453 | + | 8.21776i | −0.396757 | + | 0.687204i | ||||
\(144\) | −3.12088 | − | 1.80184i | −0.260073 | − | 0.150153i | ||||
\(145\) | −0.680355 | + | 0.627398i | −0.0565004 | + | 0.0521026i | ||||
\(146\) | 1.35082 | − | 5.04134i | 0.111795 | − | 0.417224i | ||||
\(147\) | 1.48917 | + | 1.48917i | 0.122825 | + | 0.122825i | ||||
\(148\) | −9.08786 | + | 0.591142i | −0.747018 | + | 0.0485915i | ||||
\(149\) | − | 1.55101i | − | 0.127064i | −0.997980 | − | 0.0635320i | \(-0.979764\pi\) | ||
0.997980 | − | 0.0635320i | \(-0.0202365\pi\) | |||||||
\(150\) | −0.666802 | − | 0.784538i | −0.0544442 | − | 0.0640573i | ||||
\(151\) | 13.4838 | + | 7.78486i | 1.09729 | + | 0.633523i | 0.935509 | − | 0.353303i | \(-0.114941\pi\) |
0.161785 | + | 0.986826i | \(0.448275\pi\) | |||||||
\(152\) | −3.01670 | + | 0.808322i | −0.244687 | + | 0.0655636i | ||||
\(153\) | −9.63396 | − | 5.56217i | −0.778860 | − | 0.449675i | ||||
\(154\) | −2.85249 | + | 2.85249i | −0.229860 | + | 0.229860i | ||||
\(155\) | 12.2383 | + | 13.2713i | 0.983004 | + | 1.06598i | ||||
\(156\) | 1.93594 | + | 1.93594i | 0.154999 | + | 0.154999i | ||||
\(157\) | 6.98012 | + | 1.87032i | 0.557075 | + | 0.149268i | 0.526362 | − | 0.850261i | \(-0.323556\pi\) |
0.0307126 | + | 0.999528i | \(0.490222\pi\) | |||||||
\(158\) | −8.47567 | − | 8.47567i | −0.674288 | − | 0.674288i | ||||
\(159\) | −0.0336339 | −0.00266734 | ||||||||
\(160\) | 6.97684 | − | 11.0282i | 0.551568 | − | 0.871857i | ||||
\(161\) | −19.6807 | + | 5.27342i | −1.55105 | + | 0.415603i | ||||
\(162\) | 5.84862i | 0.459511i | ||||||||
\(163\) | −7.63838 | − | 13.2301i | −0.598284 | − | 1.03626i | −0.993074 | − | 0.117487i | \(-0.962516\pi\) |
0.394790 | − | 0.918771i | \(-0.370817\pi\) | |||||||
\(164\) | −4.60835 | + | 2.66063i | −0.359852 | + | 0.207761i | ||||
\(165\) | −0.214822 | − | 0.954707i | −0.0167238 | − | 0.0743239i | ||||
\(166\) | 0.576276 | + | 2.15069i | 0.0447277 | + | 0.166926i | ||||
\(167\) | −10.6854 | + | 18.5077i | −0.826863 | + | 1.43217i | 0.0736233 | + | 0.997286i | \(0.476544\pi\) |
−0.900487 | + | 0.434883i | \(0.856790\pi\) | |||||||
\(168\) | 1.35936 | + | 2.35448i | 0.104877 | + | 0.181652i | ||||
\(169\) | 13.3249 | + | 23.0794i | 1.02499 | + | 1.77534i | ||||
\(170\) | 3.23427 | − | 5.11238i | 0.248057 | − | 0.392102i | ||||
\(171\) | −2.59651 | − | 2.59651i | −0.198560 | − | 0.198560i | ||||
\(172\) | 1.89359 | + | 1.09326i | 0.144385 | + | 0.0833605i | ||||
\(173\) | 1.61380 | + | 0.432417i | 0.122695 | + | 0.0328761i | 0.319644 | − | 0.947538i | \(-0.396437\pi\) |
−0.196949 | + | 0.980414i | \(0.563103\pi\) | |||||||
\(174\) | − | 0.0852296i | − | 0.00646124i | ||||||
\(175\) | 3.39520 | + | 18.5680i | 0.256653 | + | 1.40361i | ||||
\(176\) | 1.61303 | − | 0.931282i | 0.121587 | − | 0.0701981i | ||||
\(177\) | − | 2.82918i | − | 0.212654i | ||||||
\(178\) | 1.79124 | + | 6.68500i | 0.134259 | + | 0.501062i | ||||
\(179\) | −7.15586 | − | 7.15586i | −0.534854 | − | 0.534854i | 0.387159 | − | 0.922013i | \(-0.373456\pi\) |
−0.922013 | + | 0.387159i | \(0.873456\pi\) | |||||||
\(180\) | 9.75314 | + | 0.394950i | 0.726956 | + | 0.0294378i | ||||
\(181\) | 5.48783 | − | 9.50520i | 0.407907 | − | 0.706516i | −0.586748 | − | 0.809770i | \(-0.699592\pi\) |
0.994655 | + | 0.103254i | \(0.0329253\pi\) | |||||||
\(182\) | 4.36269 | + | 16.2818i | 0.323384 | + | 1.20688i | ||||
\(183\) | 2.39445 | − | 1.38244i | 0.177003 | − | 0.102193i | ||||
\(184\) | −13.3838 | −0.986667 | ||||||||
\(185\) | 11.6092 | − | 7.08706i | 0.853525 | − | 0.521051i | ||||
\(186\) | −1.66253 | −0.121902 | ||||||||
\(187\) | 4.97932 | − | 2.87481i | 0.364124 | − | 0.210227i | ||||
\(188\) | 0.114827 | + | 0.428541i | 0.00837463 | + | 0.0312546i | ||||
\(189\) | −3.24278 | + | 5.61667i | −0.235878 | + | 0.408552i | ||||
\(190\) | 1.46799 | − | 1.35372i | 0.106499 | − | 0.0982095i | ||||
\(191\) | 14.6004 | + | 14.6004i | 1.05645 | + | 1.05645i | 0.998309 | + | 0.0581376i | \(0.0185162\pi\) |
0.0581376 | + | 0.998309i | \(0.481484\pi\) | |||||||
\(192\) | 0.125247 | + | 0.467427i | 0.00903890 | + | 0.0337337i | ||||
\(193\) | 11.7521i | 0.845934i | 0.906145 | + | 0.422967i | \(0.139011\pi\) | ||||
−0.906145 | + | 0.422967i | \(0.860989\pi\) | |||||||
\(194\) | 4.18111 | − | 2.41397i | 0.300186 | − | 0.173313i | ||||
\(195\) | −3.90359 | − | 1.21724i | −0.279542 | − | 0.0871687i | ||||
\(196\) | − | 10.8575i | − | 0.775536i | ||||||
\(197\) | −23.2796 | − | 6.23775i | −1.65860 | − | 0.444421i | −0.696600 | − | 0.717460i | \(-0.745305\pi\) |
−0.962003 | + | 0.273039i | \(0.911971\pi\) | |||||||
\(198\) | −2.69818 | − | 1.55779i | −0.191751 | − | 0.110708i | ||||
\(199\) | 5.38573 | + | 5.38573i | 0.381784 | + | 0.381784i | 0.871745 | − | 0.489960i | \(-0.162989\pi\) |
−0.489960 | + | 0.871745i | \(0.662989\pi\) | |||||||
\(200\) | −1.00255 | + | 12.3585i | −0.0708910 | + | 0.873878i | ||||
\(201\) | −0.0606320 | − | 0.105018i | −0.00427665 | − | 0.00740737i | ||||
\(202\) | 2.23545 | + | 3.87191i | 0.157286 | + | 0.272427i | ||||
\(203\) | −0.781247 | + | 1.35316i | −0.0548328 | + | 0.0949731i | ||||
\(204\) | −0.429357 | − | 1.60238i | −0.0300610 | − | 0.112189i | ||||
\(205\) | 4.24890 | − | 6.71619i | 0.296756 | − | 0.469079i | ||||
\(206\) | −1.90639 | + | 1.10065i | −0.132824 | + | 0.0766861i | ||||
\(207\) | −7.86804 | − | 13.6278i | −0.546867 | − | 0.947201i | ||||
\(208\) | − | 7.78269i | − | 0.539633i | ||||||
\(209\) | 1.83322 | − | 0.491209i | 0.126806 | − | 0.0339776i | ||||
\(210\) | −1.46903 | − | 0.929361i | −0.101373 | − | 0.0641320i | ||||
\(211\) | 24.3984 | 1.67966 | 0.839829 | − | 0.542852i | \(-0.182655\pi\) | ||||
0.839829 | + | 0.542852i | \(0.182655\pi\) | |||||||
\(212\) | 0.122612 | + | 0.122612i | 0.00842101 | + | 0.00842101i | ||||
\(213\) | 0.179880 | + | 0.0481987i | 0.0123252 | + | 0.00330252i | ||||
\(214\) | −1.06541 | − | 1.06541i | −0.0728299 | − | 0.0728299i | ||||
\(215\) | −3.26292 | − | 0.132131i | −0.222529 | − | 0.00901123i | ||||
\(216\) | −3.01243 | + | 3.01243i | −0.204970 | + | 0.204970i | ||||
\(217\) | 26.3953 | + | 15.2393i | 1.79183 | + | 1.03451i | ||||
\(218\) | −8.86955 | + | 2.37659i | −0.600721 | + | 0.160963i | ||||
\(219\) | 1.85114 | + | 1.06876i | 0.125089 | + | 0.0722200i | ||||
\(220\) | −2.69724 | + | 4.26349i | −0.181848 | + | 0.287445i | ||||
\(221\) | − | 24.0247i | − | 1.61607i | ||||||
\(222\) | −0.244975 | + | 1.22840i | −0.0164417 | + | 0.0824450i | ||||
\(223\) | −6.50572 | − | 6.50572i | −0.435655 | − | 0.435655i | 0.454892 | − | 0.890547i | \(-0.349678\pi\) |
−0.890547 | + | 0.454892i | \(0.849678\pi\) | |||||||
\(224\) | 5.70233 | − | 21.2814i | 0.381003 | − | 1.42192i | ||||
\(225\) | −13.1732 | + | 6.24446i | −0.878215 | + | 0.416297i | ||||
\(226\) | −11.2155 | − | 6.47530i | −0.746047 | − | 0.430730i | ||||
\(227\) | −11.3922 | + | 19.7319i | −0.756128 | + | 1.30965i | 0.188683 | + | 0.982038i | \(0.439578\pi\) |
−0.944811 | + | 0.327615i | \(0.893755\pi\) | |||||||
\(228\) | − | 0.547588i | − | 0.0362649i | ||||||
\(229\) | −16.9480 | − | 9.78494i | −1.11996 | − | 0.646607i | −0.178566 | − | 0.983928i | \(-0.557146\pi\) |
−0.941390 | + | 0.337321i | \(0.890479\pi\) | |||||||
\(230\) | 7.57803 | − | 3.97537i | 0.499681 | − | 0.262128i | ||||
\(231\) | −0.826070 | − | 1.43079i | −0.0543514 | − | 0.0941394i | ||||
\(232\) | −0.725750 | + | 0.725750i | −0.0476478 | + | 0.0476478i | ||||
\(233\) | 12.5818 | − | 12.5818i | 0.824262 | − | 0.824262i | −0.162454 | − | 0.986716i | \(-0.551941\pi\) |
0.986716 | + | 0.162454i | \(0.0519408\pi\) | |||||||
\(234\) | −11.2743 | + | 6.50922i | −0.737024 | + | 0.425521i | ||||
\(235\) | −0.449192 | − | 0.487107i | −0.0293021 | − | 0.0317754i | ||||
\(236\) | −10.3137 | + | 10.3137i | −0.671366 | + | 0.671366i | ||||
\(237\) | 4.25135 | − | 2.45452i | 0.276155 | − | 0.159438i | ||||
\(238\) | 2.64344 | − | 9.86547i | 0.171349 | − | 0.639483i | ||||
\(239\) | −23.7032 | − | 6.35124i | −1.53323 | − | 0.410828i | −0.609159 | − | 0.793048i | \(-0.708493\pi\) |
−0.924071 | + | 0.382220i | \(0.875160\pi\) | |||||||
\(240\) | 0.544100 | + | 0.590026i | 0.0351215 | + | 0.0380860i | ||||
\(241\) | 10.1211 | − | 2.71194i | 0.651956 | − | 0.174691i | 0.0823430 | − | 0.996604i | \(-0.473760\pi\) |
0.569613 | + | 0.821913i | \(0.307093\pi\) | |||||||
\(242\) | −5.36042 | + | 3.09484i | −0.344581 | + | 0.198944i | ||||
\(243\) | −7.29194 | − | 1.95387i | −0.467778 | − | 0.125341i | ||||
\(244\) | −13.7686 | − | 3.68928i | −0.881443 | − | 0.236182i | ||||
\(245\) | 7.53302 | + | 14.3598i | 0.481267 | + | 0.917414i | ||||
\(246\) | 0.189427 | + | 0.706951i | 0.0120774 | + | 0.0450736i | ||||
\(247\) | 2.05251 | − | 7.66007i | 0.130598 | − | 0.487398i | ||||
\(248\) | 14.1568 | + | 14.1568i | 0.898957 | + | 0.898957i | ||||
\(249\) | −0.911888 | −0.0577886 | ||||||||
\(250\) | −3.10317 | − | 7.29528i | −0.196262 | − | 0.461394i | ||||
\(251\) | 7.58690 | − | 7.58690i | 0.478881 | − | 0.478881i | −0.425893 | − | 0.904774i | \(-0.640040\pi\) |
0.904774 | + | 0.425893i | \(0.140040\pi\) | |||||||
\(252\) | 15.9183 | − | 4.26528i | 1.00276 | − | 0.268688i | ||||
\(253\) | 8.13320 | 0.511330 | ||||||||
\(254\) | 8.66651 | − | 2.32219i | 0.543785 | − | 0.145707i | ||||
\(255\) | 1.67960 | + | 1.82137i | 0.105181 | + | 0.114059i | ||||
\(256\) | 5.38569 | − | 9.32829i | 0.336606 | − | 0.583018i | ||||
\(257\) | −14.7792 | − | 25.5983i | −0.921900 | − | 1.59678i | −0.796472 | − | 0.604675i | \(-0.793303\pi\) |
−0.125428 | − | 0.992103i | \(-0.540030\pi\) | |||||||
\(258\) | 0.212652 | − | 0.212652i | 0.0132392 | − | 0.0132392i | ||||
\(259\) | 15.1494 | − | 17.2574i | 0.941337 | − | 1.07232i | ||||
\(260\) | 9.79300 | + | 18.6679i | 0.607336 | + | 1.15773i | ||||
\(261\) | −1.16564 | − | 0.312331i | −0.0721510 | − | 0.0193328i | ||||
\(262\) | 12.5440 | − | 3.36114i | 0.774968 | − | 0.207652i | ||||
\(263\) | 1.60469 | + | 5.98879i | 0.0989495 | + | 0.369285i | 0.997589 | − | 0.0694040i | \(-0.0221098\pi\) |
−0.898639 | + | 0.438689i | \(0.855443\pi\) | |||||||
\(264\) | −0.280884 | − | 1.04827i | −0.0172872 | − | 0.0645167i | ||||
\(265\) | −0.247232 | − | 0.0770936i | −0.0151873 | − | 0.00473582i | ||||
\(266\) | 1.68568 | − | 2.91968i | 0.103356 | − | 0.179017i | ||||
\(267\) | −2.83443 | −0.173464 | ||||||||
\(268\) | −0.161807 | + | 0.603872i | −0.00988394 | + | 0.0368874i | ||||
\(269\) | 20.2060i | 1.23198i | 0.787754 | + | 0.615990i | \(0.211244\pi\) | ||||
−0.787754 | + | 0.615990i | \(0.788756\pi\) | |||||||
\(270\) | 0.810889 | − | 2.60044i | 0.0493491 | − | 0.158258i | ||||
\(271\) | −2.66859 | − | 4.62213i | −0.162105 | − | 0.280774i | 0.773518 | − | 0.633774i | \(-0.218495\pi\) |
−0.935623 | + | 0.353000i | \(0.885162\pi\) | |||||||
\(272\) | −2.35785 | + | 4.08391i | −0.142966 | + | 0.247624i | ||||
\(273\) | −6.90344 | −0.417815 | ||||||||
\(274\) | −1.92144 | + | 7.17090i | −0.116078 | + | 0.433210i | ||||
\(275\) | 0.609239 | − | 7.51014i | 0.0367385 | − | 0.452878i | ||||
\(276\) | 0.607353 | − | 2.26667i | 0.0365584 | − | 0.136438i | ||||
\(277\) | 14.7184 | + | 8.49770i | 0.884346 | + | 0.510577i | 0.872089 | − | 0.489348i | \(-0.162765\pi\) |
0.0122569 | + | 0.999925i | \(0.496098\pi\) | |||||||
\(278\) | 11.1754 | + | 6.45210i | 0.670254 | + | 0.386971i | ||||
\(279\) | −6.09247 | + | 22.7374i | −0.364747 | + | 1.36125i | ||||
\(280\) | 4.59541 | + | 20.4229i | 0.274628 | + | 1.22050i | ||||
\(281\) | −5.92046 | + | 22.0954i | −0.353185 | + | 1.31810i | 0.529569 | + | 0.848267i | \(0.322354\pi\) |
−0.882753 | + | 0.469837i | \(0.844313\pi\) | |||||||
\(282\) | 0.0610210 | 0.00363375 | ||||||||
\(283\) | 5.32582 | − | 9.22460i | 0.316587 | − | 0.548345i | −0.663186 | − | 0.748454i | \(-0.730796\pi\) |
0.979774 | + | 0.200109i | \(0.0641296\pi\) | |||||||
\(284\) | −0.480041 | − | 0.831456i | −0.0284852 | − | 0.0493378i | ||||
\(285\) | 0.379921 | + | 0.724224i | 0.0225046 | + | 0.0428993i | ||||
\(286\) | − | 6.72858i | − | 0.397869i | ||||||
\(287\) | 3.47272 | − | 12.9604i | 0.204988 | − | 0.765026i | ||||
\(288\) | 17.0160 | 1.00268 | ||||||||
\(289\) | 1.22147 | − | 2.11565i | 0.0718512 | − | 0.124450i | ||||
\(290\) | 0.195358 | − | 0.626494i | 0.0114718 | − | 0.0367890i | ||||
\(291\) | 0.511759 | + | 1.90991i | 0.0299998 | + | 0.111961i | ||||
\(292\) | −2.85217 | − | 10.6444i | −0.166911 | − | 0.622919i | ||||
\(293\) | −12.6493 | + | 3.38937i | −0.738980 | + | 0.198009i | −0.608624 | − | 0.793458i | \(-0.708278\pi\) |
−0.130355 | + | 0.991467i | \(0.541612\pi\) | |||||||
\(294\) | −1.44246 | − | 0.386507i | −0.0841261 | − | 0.0225415i | ||||
\(295\) | 6.48487 | − | 20.7964i | 0.377564 | − | 1.21081i | ||||
\(296\) | 12.5462 | − | 8.37411i | 0.729231 | − | 0.486735i | ||||
\(297\) | 1.83062 | − | 1.83062i | 0.106223 | − | 0.106223i | ||||
\(298\) | 0.549903 | + | 0.952460i | 0.0318550 | + | 0.0551745i | ||||
\(299\) | 16.9922 | − | 29.4314i | 0.982685 | − | 1.70206i | ||||
\(300\) | −2.04753 | − | 0.730617i | −0.118214 | − | 0.0421822i | ||||
\(301\) | −5.32546 | + | 1.42695i | −0.306954 | + | 0.0822482i | ||||
\(302\) | −11.0403 | −0.635299 | ||||||||
\(303\) | −1.76867 | + | 0.473913i | −0.101607 | + | 0.0272256i | ||||
\(304\) | −1.10068 | + | 1.10068i | −0.0631285 | + | 0.0631285i | ||||
\(305\) | 20.7696 | − | 4.67342i | 1.18926 | − | 0.267599i | ||||
\(306\) | 7.88814 | 0.450935 | ||||||||
\(307\) | 1.63678 | + | 1.63678i | 0.0934159 | + | 0.0934159i | 0.752270 | − | 0.658854i | \(-0.228959\pi\) |
−0.658854 | + | 0.752270i | \(0.728959\pi\) | |||||||
\(308\) | −2.20451 | + | 8.22736i | −0.125614 | + | 0.468797i | ||||
\(309\) | −0.233337 | − | 0.870827i | −0.0132741 | − | 0.0495396i | ||||
\(310\) | −12.2207 | − | 3.81074i | −0.694088 | − | 0.216436i | ||||
\(311\) | 6.31916 | + | 1.69321i | 0.358326 | + | 0.0960133i | 0.433491 | − | 0.901158i | \(-0.357282\pi\) |
−0.0751646 | + | 0.997171i | \(0.523948\pi\) | |||||||
\(312\) | −4.38019 | − | 1.17367i | −0.247979 | − | 0.0664459i | ||||
\(313\) | −6.58898 | + | 3.80415i | −0.372431 | + | 0.215023i | −0.674520 | − | 0.738256i | \(-0.735649\pi\) |
0.302089 | + | 0.953280i | \(0.402316\pi\) | |||||||
\(314\) | −4.94953 | + | 1.32622i | −0.279318 | + | 0.0748430i | ||||
\(315\) | −18.0937 | + | 16.6854i | −1.01947 | + | 0.940113i | ||||
\(316\) | −24.4461 | − | 6.55032i | −1.37520 | − | 0.368484i | ||||
\(317\) | 4.04917 | − | 15.1117i | 0.227424 | − | 0.848759i | −0.753995 | − | 0.656881i | \(-0.771876\pi\) |
0.981419 | − | 0.191878i | \(-0.0614578\pi\) | |||||||
\(318\) | 0.0206542 | − | 0.0119247i | 0.00115823 | − | 0.000668705i | ||||
\(319\) | 0.441031 | − | 0.441031i | 0.0246930 | − | 0.0246930i | ||||
\(320\) | −0.150761 | + | 3.72299i | −0.00842779 | + | 0.208121i | ||||
\(321\) | 0.534404 | − | 0.308538i | 0.0298275 | − | 0.0172209i | ||||
\(322\) | 10.2160 | − | 10.2160i | 0.569316 | − | 0.569316i | ||||
\(323\) | −3.39774 | + | 3.39774i | −0.189055 | + | 0.189055i | ||||
\(324\) | 6.17449 | + | 10.6945i | 0.343027 | + | 0.594140i | ||||
\(325\) | −25.9039 | − | 17.8951i | −1.43689 | − | 0.992643i | ||||
\(326\) | 9.38129 | + | 5.41629i | 0.519581 | + | 0.299981i | ||||
\(327\) | − | 3.76067i | − | 0.207965i | ||||||
\(328\) | 4.40684 | − | 7.63287i | 0.243327 | − | 0.421455i | ||||
\(329\) | −0.968808 | − | 0.559342i | −0.0534121 | − | 0.0308375i | ||||
\(330\) | 0.470406 | + | 0.510111i | 0.0258950 | + | 0.0280807i | ||||
\(331\) | −3.46444 | + | 12.9295i | −0.190423 | + | 0.710669i | 0.802981 | + | 0.596004i | \(0.203246\pi\) |
−0.993404 | + | 0.114664i | \(0.963421\pi\) | |||||||
\(332\) | 3.32427 | + | 3.32427i | 0.182443 | + | 0.182443i | ||||
\(333\) | 15.9024 | + | 7.85197i | 0.871447 | + | 0.430286i | ||||
\(334\) | − | 15.1538i | − | 0.829181i | ||||||
\(335\) | −0.204970 | − | 0.910927i | −0.0111987 | − | 0.0497692i | ||||
\(336\) | 1.17350 | + | 0.677522i | 0.0640199 | + | 0.0369619i | ||||
\(337\) | −24.7565 | + | 6.63348i | −1.34857 | + | 0.361348i | −0.859607 | − | 0.510956i | \(-0.829292\pi\) |
−0.488964 | + | 0.872304i | \(0.662625\pi\) | |||||||
\(338\) | −16.3654 | − | 9.44855i | −0.890159 | − | 0.513934i | ||||
\(339\) | 3.75044 | − | 3.75044i | 0.203696 | − | 0.203696i | ||||
\(340\) | 0.516822 | − | 12.7627i | 0.0280286 | − | 0.692157i | ||||
\(341\) | −8.60294 | − | 8.60294i | −0.465875 | − | 0.465875i | ||||
\(342\) | 2.51507 | + | 0.673910i | 0.135999 | + | 0.0364409i | ||||
\(343\) | 0.672441 | + | 0.672441i | 0.0363084 | + | 0.0363084i | ||||
\(344\) | −3.62157 | −0.195262 | ||||||||
\(345\) | 0.769370 | + | 3.41922i | 0.0414215 | + | 0.184085i | ||||
\(346\) | −1.14433 | + | 0.306622i | −0.0615195 | + | 0.0164841i | ||||
\(347\) | 18.1247i | 0.972984i | 0.873685 | + | 0.486492i | \(0.161724\pi\) | ||||
−0.873685 | + | 0.486492i | \(0.838276\pi\) | |||||||
\(348\) | −0.0899783 | − | 0.155847i | −0.00482334 | − | 0.00835427i | ||||
\(349\) | −8.35423 | + | 4.82332i | −0.447192 | + | 0.258186i | −0.706643 | − | 0.707570i | \(-0.749791\pi\) |
0.259452 | + | 0.965756i | \(0.416458\pi\) | |||||||
\(350\) | −8.66813 | − | 10.1986i | −0.463331 | − | 0.545141i | ||||
\(351\) | −2.79981 | − | 10.4490i | −0.149443 | − | 0.557728i | ||||
\(352\) | −4.39736 | + | 7.61644i | −0.234380 | + | 0.405958i | ||||
\(353\) | 4.71008 | + | 8.15810i | 0.250692 | + | 0.434212i | 0.963717 | − | 0.266927i | \(-0.0860084\pi\) |
−0.713024 | + | 0.701139i | \(0.752675\pi\) | |||||||
\(354\) | 1.00307 | + | 1.73737i | 0.0533126 | + | 0.0923401i | ||||
\(355\) | 1.21176 | + | 0.766602i | 0.0643135 | + | 0.0406870i | ||||
\(356\) | 10.3329 | + | 10.3329i | 0.547640 | + | 0.547640i | ||||
\(357\) | 3.62253 | + | 2.09147i | 0.191725 | + | 0.110692i | ||||
\(358\) | 6.93140 | + | 1.85726i | 0.366336 | + | 0.0981594i | ||||
\(359\) | 2.44092i | 0.128827i | 0.997923 | + | 0.0644135i | \(0.0205177\pi\) | ||||
−0.997923 | + | 0.0644135i | \(0.979482\pi\) | |||||||
\(360\) | −14.3171 | + | 7.51061i | −0.754576 | + | 0.395844i | ||||
\(361\) | 15.0809 | − | 8.70694i | 0.793730 | − | 0.458260i | ||||
\(362\) | 7.78272i | 0.409051i | ||||||||
\(363\) | −0.656103 | − | 2.44861i | −0.0344365 | − | 0.128519i | ||||
\(364\) | 25.1663 | + | 25.1663i | 1.31907 | + | 1.31907i | ||||
\(365\) | 11.1574 | + | 12.0992i | 0.584005 | + | 0.633299i | ||||
\(366\) | −0.980271 | + | 1.69788i | −0.0512396 | + | 0.0887496i | ||||
\(367\) | 1.76128 | + | 6.57317i | 0.0919378 | + | 0.343117i | 0.996537 | − | 0.0831458i | \(-0.0264967\pi\) |
−0.904600 | + | 0.426262i | \(0.859830\pi\) | |||||||
\(368\) | −5.77696 | + | 3.33533i | −0.301145 | + | 0.173866i | ||||
\(369\) | 10.3627 | 0.539463 | ||||||||
\(370\) | −4.61640 | + | 8.46806i | −0.239995 | + | 0.440234i | ||||
\(371\) | −0.437226 | −0.0226996 | ||||||||
\(372\) | −3.04002 | + | 1.75516i | −0.157618 | + | 0.0910006i | ||||
\(373\) | −2.10845 | − | 7.86884i | −0.109171 | − | 0.407433i | 0.889614 | − | 0.456714i | \(-0.150974\pi\) |
−0.998785 | + | 0.0492809i | \(0.984307\pi\) | |||||||
\(374\) | −2.03850 | + | 3.53078i | −0.105408 | + | 0.182572i | ||||
\(375\) | 3.21492 | − | 0.454304i | 0.166018 | − | 0.0234602i | ||||
\(376\) | −0.519608 | − | 0.519608i | −0.0267967 | − | 0.0267967i | ||||
\(377\) | −0.674526 | − | 2.51737i | −0.0347399 | − | 0.129651i | ||||
\(378\) | − | 4.59884i | − | 0.236539i | ||||||
\(379\) | 1.21060 | − | 0.698943i | 0.0621846 | − | 0.0359023i | −0.468585 | − | 0.883418i | \(-0.655236\pi\) |
0.530770 | + | 0.847516i | \(0.321903\pi\) | |||||||
\(380\) | 1.25515 | − | 4.02514i | 0.0643877 | − | 0.206485i | ||||
\(381\) | 3.67458i | 0.188255i | ||||||||
\(382\) | −14.1424 | − | 3.78945i | −0.723589 | − | 0.193885i | ||||
\(383\) | 10.2559 | + | 5.92123i | 0.524051 | + | 0.302561i | 0.738590 | − | 0.674154i | \(-0.235492\pi\) |
−0.214540 | + | 0.976715i | \(0.568825\pi\) | |||||||
\(384\) | 2.15422 | + | 2.15422i | 0.109932 | + | 0.109932i | ||||
\(385\) | −2.79258 | − | 12.4108i | −0.142323 | − | 0.632511i | ||||
\(386\) | −4.16664 | − | 7.21683i | −0.212076 | − | 0.367327i | ||||
\(387\) | −2.12904 | − | 3.68761i | −0.108225 | − | 0.187452i | ||||
\(388\) | 5.09693 | − | 8.82814i | 0.258757 | − | 0.448181i | ||||
\(389\) | 2.46347 | + | 9.19381i | 0.124903 | + | 0.466145i | 0.999836 | − | 0.0180992i | \(-0.00576146\pi\) |
−0.874933 | + | 0.484244i | \(0.839095\pi\) | |||||||
\(390\) | 2.82872 | − | 0.636498i | 0.143238 | − | 0.0322303i | ||||
\(391\) | −17.8331 | + | 10.2959i | −0.901858 | + | 0.520688i | ||||
\(392\) | 8.99171 | + | 15.5741i | 0.454150 | + | 0.786611i | ||||
\(393\) | 5.31861i | 0.268288i | ||||||||
\(394\) | 16.5073 | − | 4.42312i | 0.831626 | − | 0.222833i | ||||
\(395\) | 36.8764 | − | 8.29767i | 1.85545 | − | 0.417501i | ||||
\(396\) | −6.57836 | −0.330575 | ||||||||
\(397\) | −11.6594 | − | 11.6594i | −0.585168 | − | 0.585168i | 0.351151 | − | 0.936319i | \(-0.385790\pi\) |
−0.936319 | + | 0.351151i | \(0.885790\pi\) | |||||||
\(398\) | −5.21680 | − | 1.39784i | −0.261494 | − | 0.0700672i | ||||
\(399\) | 0.976332 | + | 0.976332i | 0.0488777 | + | 0.0488777i | ||||
\(400\) | 2.64708 | + | 5.58424i | 0.132354 | + | 0.279212i | ||||
\(401\) | −22.5640 | + | 22.5640i | −1.12679 | + | 1.12679i | −0.136096 | + | 0.990696i | \(0.543455\pi\) |
−0.990696 | + | 0.136096i | \(0.956545\pi\) | |||||||
\(402\) | 0.0744668 | + | 0.0429934i | 0.00371407 | + | 0.00214432i | ||||
\(403\) | −49.1048 | + | 13.1576i | −2.44609 | + | 0.655427i | ||||
\(404\) | 8.17529 | + | 4.72000i | 0.406736 | + | 0.234829i | ||||
\(405\) | −15.5861 | − | 9.86035i | −0.774482 | − | 0.489965i | ||||
\(406\) | − | 1.10795i | − | 0.0549864i | ||||||
\(407\) | −7.62417 | + | 5.08886i | −0.377916 | + | 0.252246i | ||||
\(408\) | 1.94290 | + | 1.94290i | 0.0961878 | + | 0.0961878i | ||||
\(409\) | −1.67457 | + | 6.24959i | −0.0828023 | + | 0.309022i | −0.994889 | − | 0.100975i | \(-0.967804\pi\) |
0.912087 | + | 0.409997i | \(0.134470\pi\) | |||||||
\(410\) | −0.228015 | + | 5.63076i | −0.0112609 | + | 0.278083i | ||||
\(411\) | −2.63310 | − | 1.52022i | −0.129881 | − | 0.0749871i | ||||
\(412\) | −2.32395 | + | 4.02521i | −0.114493 | + | 0.198308i | ||||
\(413\) | − | 36.7781i | − | 1.80973i | ||||||
\(414\) | 9.66335 | + | 5.57914i | 0.474928 | + | 0.274200i | ||||
\(415\) | −6.70299 | − | 2.09017i | −0.329037 | − | 0.102603i | ||||
\(416\) | 18.3743 | + | 31.8252i | 0.900873 | + | 1.56036i | ||||
\(417\) | −3.73701 | + | 3.73701i | −0.183002 | + | 0.183002i | ||||
\(418\) | −0.951603 | + | 0.951603i | −0.0465444 | + | 0.0465444i | ||||
\(419\) | 31.1505 | − | 17.9848i | 1.52180 | − | 0.878613i | 0.522135 | − | 0.852863i | \(-0.325136\pi\) |
0.999668 | − | 0.0257504i | \(-0.00819752\pi\) | |||||||
\(420\) | −3.66734 | − | 0.148508i | −0.178948 | − | 0.00724643i | ||||
\(421\) | −13.6744 | + | 13.6744i | −0.666449 | + | 0.666449i | −0.956892 | − | 0.290443i | \(-0.906197\pi\) |
0.290443 | + | 0.956892i | \(0.406197\pi\) | |||||||
\(422\) | −14.9828 | + | 8.65033i | −0.729351 | + | 0.421091i | ||||
\(423\) | 0.223617 | − | 0.834549i | 0.0108726 | − | 0.0405772i | ||||
\(424\) | −0.277417 | − | 0.0743337i | −0.0134726 | − | 0.00360996i | ||||
\(425\) | 8.17136 | + | 17.2382i | 0.396369 | + | 0.836175i | ||||
\(426\) | −0.127551 | + | 0.0341771i | −0.00617986 | + | 0.00165589i | ||||
\(427\) | 31.1268 | − | 17.9711i | 1.50633 | − | 0.869681i | ||||
\(428\) | −3.07293 | − | 0.823389i | −0.148536 | − | 0.0398000i | ||||
\(429\) | 2.66180 | + | 0.713226i | 0.128513 | + | 0.0344349i | ||||
\(430\) | 2.05057 | − | 1.07571i | 0.0988871 | − | 0.0518753i | ||||
\(431\) | −5.78970 | − | 21.6074i | −0.278880 | − | 1.04079i | −0.953197 | − | 0.302351i | \(-0.902228\pi\) |
0.674317 | − | 0.738442i | \(-0.264438\pi\) | |||||||
\(432\) | −0.549562 | + | 2.05099i | −0.0264408 | + | 0.0986785i | ||||
\(433\) | −7.38007 | − | 7.38007i | −0.354663 | − | 0.354663i | 0.507178 | − | 0.861841i | \(-0.330689\pi\) |
−0.861841 | + | 0.507178i | \(0.830689\pi\) | |||||||
\(434\) | −21.6121 | −1.03741 | ||||||||
\(435\) | 0.227130 | + | 0.143691i | 0.0108901 | + | 0.00688945i | ||||
\(436\) | −13.7094 | + | 13.7094i | −0.656563 | + | 0.656563i | ||||
\(437\) | −6.56555 | + | 1.75923i | −0.314073 | + | 0.0841556i | ||||
\(438\) | −1.51569 | −0.0724224 | ||||||||
\(439\) | −1.90717 | + | 0.511025i | −0.0910243 | + | 0.0243899i | −0.304044 | − | 0.952658i | \(-0.598337\pi\) |
0.213019 | + | 0.977048i | \(0.431670\pi\) | |||||||
\(440\) | 0.338103 | − | 8.34933i | 0.0161184 | − | 0.398039i | ||||
\(441\) | −10.5721 | + | 18.3113i | −0.503431 | + | 0.871968i | ||||
\(442\) | 8.51781 | + | 14.7533i | 0.405151 | + | 0.701742i | ||||
\(443\) | −3.51943 | + | 3.51943i | −0.167213 | + | 0.167213i | −0.785753 | − | 0.618540i | \(-0.787724\pi\) |
0.618540 | + | 0.785753i | \(0.287724\pi\) | |||||||
\(444\) | 0.848894 | + | 2.50483i | 0.0402867 | + | 0.118874i | ||||
\(445\) | −20.8349 | − | 6.49690i | −0.987671 | − | 0.307983i | ||||
\(446\) | 6.30165 | + | 1.68852i | 0.298392 | + | 0.0799539i | ||||
\(447\) | −0.435078 | + | 0.116579i | −0.0205785 | + | 0.00551399i | ||||
\(448\) | 1.62815 | + | 6.07634i | 0.0769229 | + | 0.287080i | ||||
\(449\) | 2.88012 | + | 10.7487i | 0.135921 | + | 0.507264i | 0.999992 | + | 0.00389496i | \(0.00123981\pi\) |
−0.864071 | + | 0.503369i | \(0.832094\pi\) | |||||||
\(450\) | 5.87560 | − | 8.50515i | 0.276978 | − | 0.400937i | ||||
\(451\) | −2.67799 | + | 4.63842i | −0.126102 | + | 0.218415i | ||||
\(452\) | −27.3443 | −1.28617 | ||||||||
\(453\) | 1.17027 | − | 4.36750i | 0.0549840 | − | 0.205203i | ||||
\(454\) | − | 16.1562i | − | 0.758248i | ||||||
\(455\) | −50.7449 | − | 15.8236i | −2.37896 | − | 0.741823i | ||||
\(456\) | 0.453489 | + | 0.785465i | 0.0212365 | + | 0.0367828i | ||||
\(457\) | 12.7113 | − | 22.0166i | 0.594609 | − | 1.02989i | −0.398992 | − | 0.916954i | \(-0.630640\pi\) |
0.993602 | − | 0.112940i | \(-0.0360266\pi\) | |||||||
\(458\) | 13.8768 | 0.648419 | ||||||||
\(459\) | −1.69646 | + | 6.33129i | −0.0791841 | + | 0.295519i | ||||
\(460\) | 9.65998 | − | 15.2694i | 0.450399 | − | 0.711941i | ||||
\(461\) | 3.20554 | − | 11.9632i | 0.149297 | − | 0.557183i | −0.850230 | − | 0.526412i | \(-0.823537\pi\) |
0.999526 | − | 0.0307714i | \(-0.00979639\pi\) | |||||||
\(462\) | 1.01456 | + | 0.585757i | 0.0472016 | + | 0.0272519i | ||||
\(463\) | 7.68732 | + | 4.43827i | 0.357260 | + | 0.206264i | 0.667878 | − | 0.744271i | \(-0.267203\pi\) |
−0.310618 | + | 0.950535i | \(0.600536\pi\) | |||||||
\(464\) | −0.132400 | + | 0.494122i | −0.00614650 | + | 0.0229391i | ||||
\(465\) | 2.80290 | − | 4.43051i | 0.129981 | − | 0.205460i | ||||
\(466\) | −3.26554 | + | 12.1872i | −0.151273 | + | 0.564560i | ||||
\(467\) | 35.0259 | 1.62081 | 0.810403 | − | 0.585873i | \(-0.199248\pi\) | ||||
0.810403 | + | 0.585873i | \(0.199248\pi\) | |||||||
\(468\) | −13.7438 | + | 23.8049i | −0.635306 | + | 1.10038i | ||||
\(469\) | −0.788188 | − | 1.36518i | −0.0363952 | − | 0.0630382i | ||||
\(470\) | 0.448545 | + | 0.139869i | 0.0206898 | + | 0.00645166i | ||||
\(471\) | − | 2.09859i | − | 0.0966979i | ||||||
\(472\) | 6.25272 | − | 23.3355i | 0.287805 | − | 1.07410i | ||||
\(473\) | 2.20079 | 0.101193 | ||||||||
\(474\) | −1.74047 | + | 3.01459i | −0.0799425 | + | 0.138465i | ||||
\(475\) | 1.13265 | + | 6.19436i | 0.0519697 | + | 0.284217i | ||||
\(476\) | −5.58145 | − | 20.8303i | −0.255825 | − | 0.954754i | ||||
\(477\) | −0.0873983 | − | 0.326175i | −0.00400169 | − | 0.0149345i | ||||
\(478\) | 16.8076 | − | 4.50360i | 0.768764 | − | 0.205990i | ||||
\(479\) | −32.3349 | − | 8.66410i | −1.47742 | − | 0.395873i | −0.571951 | − | 0.820288i | \(-0.693813\pi\) |
−0.905468 | + | 0.424415i | \(0.860480\pi\) | |||||||
\(480\) | −3.61795 | − | 1.12818i | −0.165136 | − | 0.0514939i | ||||
\(481\) | 2.48619 | + | 38.2212i | 0.113361 | + | 1.74274i | ||||
\(482\) | −5.25374 | + | 5.25374i | −0.239301 | + | 0.239301i | ||||
\(483\) | 2.95852 | + | 5.12430i | 0.134617 | + | 0.233164i | ||||
\(484\) | −6.53455 | + | 11.3182i | −0.297025 | + | 0.514462i | ||||
\(485\) | −0.616009 | + | 15.2121i | −0.0279715 | + | 0.690747i | ||||
\(486\) | 5.17063 | − | 1.38547i | 0.234545 | − | 0.0628460i | ||||
\(487\) | 6.11109 | 0.276920 | 0.138460 | − | 0.990368i | \(-0.455785\pi\) | ||||
0.138460 | + | 0.990368i | \(0.455785\pi\) | |||||||
\(488\) | 22.8051 | − | 6.11060i | 1.03234 | − | 0.276614i | ||||
\(489\) | −3.13707 | + | 3.13707i | −0.141863 | + | 0.141863i | ||||
\(490\) | −9.71713 | − | 6.14741i | −0.438975 | − | 0.277711i | ||||
\(491\) | −9.04352 | −0.408128 | −0.204064 | − | 0.978958i | \(-0.565415\pi\) | ||||
−0.204064 | + | 0.978958i | \(0.565415\pi\) | |||||||
\(492\) | 1.09272 | + | 1.09272i | 0.0492635 | + | 0.0492635i | ||||
\(493\) | −0.408709 | + | 1.52532i | −0.0184073 | + | 0.0686972i | ||||
\(494\) | 1.45541 | + | 5.43167i | 0.0654820 | + | 0.244382i | ||||
\(495\) | 8.70034 | − | 4.56412i | 0.391051 | − | 0.205142i | ||||
\(496\) | 9.63857 | + | 2.58265i | 0.432785 | + | 0.115964i | ||||
\(497\) | 2.33836 | + | 0.626561i | 0.104890 | + | 0.0281051i | ||||
\(498\) | 0.559980 | − | 0.323305i | 0.0250933 | − | 0.0144876i | ||||
\(499\) | 15.6082 | − | 4.18221i | 0.698720 | − | 0.187221i | 0.108063 | − | 0.994144i | \(-0.465535\pi\) |
0.590657 | + | 0.806923i | \(0.298869\pi\) | |||||||
\(500\) | −13.3761 | − | 10.0638i | −0.598196 | − | 0.450065i | ||||
\(501\) | 5.99479 | + | 1.60630i | 0.267827 | + | 0.0717641i | ||||
\(502\) | −1.96914 | + | 7.34892i | −0.0878870 | + | 0.327999i | ||||
\(503\) | 18.0142 | − | 10.4005i | 0.803214 | − | 0.463736i | −0.0413800 | − | 0.999143i | \(-0.513175\pi\) |
0.844594 | + | 0.535408i | \(0.179842\pi\) | |||||||
\(504\) | −19.3010 | + | 19.3010i | −0.859733 | + | 0.859733i | ||||
\(505\) | −14.0872 | − | 0.570454i | −0.626871 | − | 0.0253849i | ||||
\(506\) | −4.99451 | + | 2.88358i | −0.222033 | + | 0.128191i | ||||
\(507\) | 5.47253 | − | 5.47253i | 0.243043 | − | 0.243043i | ||||
\(508\) | 13.3956 | − | 13.3956i | 0.594335 | − | 0.594335i | ||||
\(509\) | −4.91901 | − | 8.51997i | −0.218031 | − | 0.377641i | 0.736175 | − | 0.676791i | \(-0.236630\pi\) |
−0.954206 | + | 0.299150i | \(0.903297\pi\) | |||||||
\(510\) | −1.67718 | − | 0.522991i | −0.0742669 | − | 0.0231584i | ||||
\(511\) | 24.0640 | + | 13.8934i | 1.06453 | + | 0.614607i | ||||
\(512\) | − | 13.3432i | − | 0.589691i | ||||||
\(513\) | −1.08181 | + | 1.87374i | −0.0477629 | + | 0.0827278i | ||||
\(514\) | 18.1515 | + | 10.4798i | 0.800627 | + | 0.462242i | ||||
\(515\) | 0.280871 | − | 6.93600i | 0.0123766 | − | 0.305637i | ||||
\(516\) | 0.164346 | − | 0.613347i | 0.00723493 | − | 0.0270011i | ||||
\(517\) | 0.315761 | + | 0.315761i | 0.0138871 | + | 0.0138871i | ||||
\(518\) | −3.18457 | + | 15.9687i | −0.139922 | + | 0.701624i | ||||
\(519\) | − | 0.485193i | − | 0.0212976i | ||||||
\(520\) | −29.5071 | − | 18.6672i | −1.29397 | − | 0.818613i | ||||
\(521\) | −38.1727 | − | 22.0390i | −1.67238 | − | 0.965547i | −0.966302 | − | 0.257409i | \(-0.917131\pi\) |
−0.706074 | − | 0.708138i | \(-0.749536\pi\) | |||||||
\(522\) | 0.826539 | − | 0.221470i | 0.0361766 | − | 0.00969350i | ||||
\(523\) | 21.6486 | + | 12.4988i | 0.946627 | + | 0.546535i | 0.892032 | − | 0.451973i | \(-0.149280\pi\) |
0.0545955 | + | 0.998509i | \(0.482613\pi\) | |||||||
\(524\) | 19.3889 | − | 19.3889i | 0.847008 | − | 0.847008i | ||||
\(525\) | 4.95335 | − | 2.34802i | 0.216182 | − | 0.102476i | ||||
\(526\) | −3.10871 | − | 3.10871i | −0.135546 | − | 0.135546i | ||||
\(527\) | 29.7537 | + | 7.97247i | 1.29609 | + | 0.347286i | ||||
\(528\) | −0.382476 | − | 0.382476i | −0.0166451 | − | 0.0166451i | ||||
\(529\) | −6.12853 | −0.266458 | ||||||||
\(530\) | 0.179155 | − | 0.0403123i | 0.00778201 | − | 0.00175105i | ||||
\(531\) | 27.4368 | − | 7.35167i | 1.19066 | − | 0.319035i | ||||
\(532\) | − | 7.11840i | − | 0.308622i | ||||||
\(533\) | 11.1899 | + | 19.3816i | 0.484690 | + | 0.839508i | ||||
\(534\) | 1.74059 | − | 1.00493i | 0.0753227 | − | 0.0434876i | ||||
\(535\) | 4.63544 | − | 1.04303i | 0.200407 | − | 0.0450943i | ||||
\(536\) | −0.268003 | − | 1.00020i | −0.0115760 | − | 0.0432021i | ||||
\(537\) | −1.46945 | + | 2.54516i | −0.0634115 | + | 0.109832i | ||||
\(538\) | −7.16391 | − | 12.4083i | −0.308858 | − | 0.534958i | ||||
\(539\) | −5.46417 | − | 9.46422i | −0.235358 | − | 0.407653i | ||||
\(540\) | −1.26257 | − | 5.61112i | −0.0543326 | − | 0.241464i | ||||
\(541\) | −21.5458 | − | 21.5458i | −0.926324 | − | 0.926324i | 0.0711420 | − | 0.997466i | \(-0.477336\pi\) |
−0.997466 | + | 0.0711420i | \(0.977336\pi\) | |||||||
\(542\) | 3.27750 | + | 1.89226i | 0.140781 | + | 0.0812797i | ||||
\(543\) | −3.07881 | − | 0.824964i | −0.132124 | − | 0.0354026i | ||||
\(544\) | − | 22.2667i | − | 0.954678i | ||||||
\(545\) | 8.61998 | − | 27.6434i | 0.369239 | − | 1.18411i | ||||
\(546\) | 4.23932 | − | 2.44757i | 0.181426 | − | 0.104747i | ||||
\(547\) | − | 8.75802i | − | 0.374466i | −0.982316 | − | 0.187233i | \(-0.940048\pi\) | ||
0.982316 | − | 0.187233i | \(-0.0599519\pi\) | |||||||
\(548\) | 4.05698 | + | 15.1409i | 0.173306 | + | 0.646786i | ||||
\(549\) | 19.6286 | + | 19.6286i | 0.837729 | + | 0.837729i | ||||
\(550\) | 2.28855 | + | 4.82789i | 0.0975841 | + | 0.205862i | ||||
\(551\) | −0.260627 | + | 0.451419i | −0.0111031 | + | 0.0192311i | ||||
\(552\) | 1.00597 | + | 3.75432i | 0.0428168 | + | 0.159795i | ||||
\(553\) | 55.2657 | − | 31.9077i | 2.35014 | − | 1.35685i | ||||
\(554\) | −12.0512 | −0.512008 | ||||||||
\(555\) | −2.86059 | − | 2.72384i | −0.121425 | − | 0.115620i | ||||
\(556\) | 27.2464 | 1.15550 | ||||||||
\(557\) | −17.9409 | + | 10.3582i | −0.760179 | + | 0.438889i | −0.829360 | − | 0.558715i | \(-0.811295\pi\) |
0.0691811 | + | 0.997604i | \(0.477961\pi\) | |||||||
\(558\) | −4.32010 | − | 16.1228i | −0.182884 | − | 0.682534i | ||||
\(559\) | 4.59798 | − | 7.96394i | 0.194474 | − | 0.336839i | ||||
\(560\) | 7.07306 | + | 7.67008i | 0.298891 | + | 0.324120i | ||||
\(561\) | −1.18068 | − | 1.18068i | −0.0498483 | − | 0.0498483i | ||||
\(562\) | −4.19813 | − | 15.6676i | −0.177087 | − | 0.660899i | ||||
\(563\) | 4.01763i | 0.169323i | 0.996410 | + | 0.0846616i | \(0.0269809\pi\) | ||||
−0.996410 | + | 0.0846616i | \(0.973019\pi\) | |||||||
\(564\) | 0.111580 | − | 0.0644209i | 0.00469837 | − | 0.00271261i | ||||
\(565\) | 36.1648 | − | 18.9717i | 1.52146 | − | 0.798146i | ||||
\(566\) | 7.55296i | 0.317475i | ||||||||
\(567\) | −30.0769 | − | 8.05908i | −1.26311 | − | 0.338450i | ||||
\(568\) | 1.37715 | + | 0.795099i | 0.0577840 | + | 0.0333616i | ||||
\(569\) | −13.5442 | − | 13.5442i | −0.567803 | − | 0.567803i | 0.363709 | − | 0.931512i | \(-0.381510\pi\) |
−0.931512 | + | 0.363709i | \(0.881510\pi\) | |||||||
\(570\) | −0.490075 | − | 0.310039i | −0.0205270 | − | 0.0129861i | ||||
\(571\) | 23.0078 | + | 39.8507i | 0.962846 | + | 1.66770i | 0.715295 | + | 0.698823i | \(0.246292\pi\) |
0.247551 | + | 0.968875i | \(0.420374\pi\) | |||||||
\(572\) | −7.10347 | − | 12.3036i | −0.297011 | − | 0.514438i | ||||
\(573\) | 2.99818 | − | 5.19299i | 0.125251 | − | 0.216940i | ||||
\(574\) | 2.46247 | + | 9.19005i | 0.102781 | + | 0.383585i | ||||
\(575\) | −2.18195 | + | 26.8971i | −0.0909936 | + | 1.12169i | ||||
\(576\) | −4.20756 | + | 2.42923i | −0.175315 | + | 0.101218i | ||||
\(577\) | −9.82493 | − | 17.0173i | −0.409017 | − | 0.708439i | 0.585763 | − | 0.810483i | \(-0.300795\pi\) |
−0.994780 | + | 0.102044i | \(0.967462\pi\) | |||||||
\(578\) | 1.73226i | 0.0720526i | ||||||||
\(579\) | 3.29661 | − | 0.883323i | 0.137002 | − | 0.0367097i | ||||
\(580\) | −0.304178 | − | 1.35182i | −0.0126303 | − | 0.0561313i | ||||
\(581\) | −11.8541 | −0.491792 | ||||||||
\(582\) | −0.991413 | − | 0.991413i | −0.0410954 | − | 0.0410954i | ||||
\(583\) | 0.168584 | + | 0.0451718i | 0.00698202 | + | 0.00187083i | ||||
\(584\) | 12.9064 | + | 12.9064i | 0.534072 | + | 0.534072i | ||||
\(585\) | 1.66106 | − | 41.0192i | 0.0686763 | − | 1.69594i | ||||
\(586\) | 6.56611 | − | 6.56611i | 0.271243 | − | 0.271243i | ||||
\(587\) | −1.48909 | − | 0.859724i | −0.0614612 | − | 0.0354846i | 0.468955 | − | 0.883222i | \(-0.344631\pi\) |
−0.530416 | + | 0.847738i | \(0.677964\pi\) | |||||||
\(588\) | −3.04566 | + | 0.816083i | −0.125601 | + | 0.0336547i | ||||
\(589\) | 8.80559 | + | 5.08391i | 0.362828 | + | 0.209479i | ||||
\(590\) | 3.39094 | + | 15.0700i | 0.139603 | + | 0.620422i | ||||
\(591\) | 6.99906i | 0.287903i | ||||||||
\(592\) | 3.32852 | − | 6.74117i | 0.136801 | − | 0.277060i | ||||
\(593\) | −3.74856 | − | 3.74856i | −0.153935 | − | 0.153935i | 0.625938 | − | 0.779873i | \(-0.284716\pi\) |
−0.779873 | + | 0.625938i | \(0.784716\pi\) | |||||||
\(594\) | −0.475128 | + | 1.77320i | −0.0194947 | + | 0.0727553i | ||||
\(595\) | 21.8341 | + | 23.6770i | 0.895110 | + | 0.970664i | ||||
\(596\) | 2.01105 | + | 1.16108i | 0.0823760 | + | 0.0475598i | ||||
\(597\) | 1.10596 | − | 1.91557i | 0.0452638 | − | 0.0783991i | ||||
\(598\) | 24.0980i | 0.985440i | ||||||||
\(599\) | 17.6820 | + | 10.2087i | 0.722466 | + | 0.417116i | 0.815660 | − | 0.578532i | \(-0.196374\pi\) |
−0.0931936 | + | 0.995648i | \(0.529708\pi\) | |||||||
\(600\) | 3.54207 | − | 0.647675i | 0.144604 | − | 0.0264412i | ||||
\(601\) | −8.99904 | − | 15.5868i | −0.367078 | − | 0.635799i | 0.622029 | − | 0.782994i | \(-0.286309\pi\) |
−0.989107 | + | 0.147196i | \(0.952975\pi\) | |||||||
\(602\) | 2.76439 | − | 2.76439i | 0.112668 | − | 0.112668i | ||||
\(603\) | 0.860886 | − | 0.860886i | 0.0350580 | − | 0.0350580i | ||||
\(604\) | −20.1878 | + | 11.6554i | −0.821431 | + | 0.474253i | ||||
\(605\) | 0.789758 | − | 19.5028i | 0.0321082 | − | 0.792902i | ||||
\(606\) | 0.918096 | − | 0.918096i | 0.0372951 | − | 0.0372951i | ||||
\(607\) | −23.5893 | + | 13.6193i | −0.957460 | + | 0.552790i | −0.895390 | − | 0.445282i | \(-0.853103\pi\) |
−0.0620694 | + | 0.998072i | \(0.519770\pi\) | |||||||
\(608\) | 1.90232 | − | 7.09956i | 0.0771493 | − | 0.287925i | ||||
\(609\) | 0.438298 | + | 0.117442i | 0.0177607 | + | 0.00475898i | ||||
\(610\) | −11.0974 | + | 10.2336i | −0.449322 | + | 0.414348i | ||||
\(611\) | 1.80233 | − | 0.482934i | 0.0729146 | − | 0.0195374i | ||||
\(612\) | 14.4239 | − | 8.32764i | 0.583052 | − | 0.336625i | ||||
\(613\) | −7.79322 | − | 2.08819i | −0.314765 | − | 0.0843411i | 0.0979778 | − | 0.995189i | \(-0.468763\pi\) |
−0.412743 | + | 0.910848i | \(0.635429\pi\) | |||||||
\(614\) | −1.58544 | − | 0.424817i | −0.0639831 | − | 0.0171442i | ||||
\(615\) | −2.20333 | − | 0.687059i | −0.0888470 | − | 0.0277049i | ||||
\(616\) | −3.65136 | − | 13.6271i | −0.147118 | − | 0.549051i | ||||
\(617\) | −2.21710 | + | 8.27434i | −0.0892572 | + | 0.333113i | −0.996086 | − | 0.0883860i | \(-0.971829\pi\) |
0.906829 | + | 0.421499i | \(0.138496\pi\) | |||||||
\(618\) | 0.452036 | + | 0.452036i | 0.0181836 | + | 0.0181836i | ||||
\(619\) | −9.30980 | −0.374192 | −0.187096 | − | 0.982342i | \(-0.559908\pi\) | ||||
−0.187096 | + | 0.982342i | \(0.559908\pi\) | |||||||
\(620\) | −26.3692 | + | 5.93342i | −1.05901 | + | 0.238292i | ||||
\(621\) | −6.55626 | + | 6.55626i | −0.263093 | + | 0.263093i | ||||
\(622\) | −4.48084 | + | 1.20064i | −0.179665 | + | 0.0481412i | ||||
\(623\) | −36.8463 | −1.47622 | ||||||||
\(624\) | −2.18314 | + | 0.584971i | −0.0873956 | + | 0.0234176i | ||||
\(625\) | 24.6731 | + | 4.02959i | 0.986924 | + | 0.161184i | ||||
\(626\) | 2.69748 | − | 4.67217i | 0.107813 | − | 0.186738i | ||||
\(627\) | −0.275580 | − | 0.477319i | −0.0110056 | − | 0.0190623i | ||||
\(628\) | −7.65037 | + | 7.65037i | −0.305283 | + | 0.305283i | ||||
\(629\) | 10.2749 | − | 20.8095i | 0.409688 | − | 0.829731i | ||||
\(630\) | 5.19545 | − | 16.6613i | 0.206992 | − | 0.663803i | ||||
\(631\) | 5.18822 | + | 1.39018i | 0.206540 | + | 0.0553422i | 0.360606 | − | 0.932718i | \(-0.382570\pi\) |
−0.154066 | + | 0.988061i | \(0.549237\pi\) | |||||||
\(632\) | 40.4904 | − | 10.8494i | 1.61062 | − | 0.431565i | ||||
\(633\) | −1.83386 | − | 6.84406i | −0.0728894 | − | 0.272027i | ||||
\(634\) | 2.87122 | + | 10.7155i | 0.114031 | + | 0.425569i | ||||
\(635\) | −8.42266 | + | 27.0106i | −0.334243 | + | 1.07188i | ||||
\(636\) | 0.0251782 | − | 0.0436100i | 0.000998381 | − | 0.00172925i | ||||
\(637\) | −45.6639 | −1.80927 | ||||||||
\(638\) | −0.114467 | + | 0.427197i | −0.00453180 | + | 0.0169129i | ||||
\(639\) | 1.86968i | 0.0739635i | ||||||||
\(640\) | 10.8972 | + | 20.7728i | 0.430750 | + | 0.821115i | ||||
\(641\) | −0.185770 | − | 0.321764i | −0.00733748 | − | 0.0127089i | 0.862333 | − | 0.506341i | \(-0.169002\pi\) |
−0.869671 | + | 0.493632i | \(0.835669\pi\) | |||||||
\(642\) | −0.218781 | + | 0.378940i | −0.00863460 | + | 0.0149556i | ||||
\(643\) | 11.0675 | 0.436461 | 0.218231 | − | 0.975897i | \(-0.429972\pi\) | ||||
0.218231 | + | 0.975897i | \(0.429972\pi\) | |||||||
\(644\) | 7.89532 | − | 29.4657i | 0.311119 | − | 1.16111i | ||||
\(645\) | 0.208186 | + | 0.925219i | 0.00819733 | + | 0.0364305i | ||||
\(646\) | 0.881864 | − | 3.29116i | 0.0346965 | − | 0.129489i | ||||
\(647\) | −18.1868 | − | 10.5002i | −0.714997 | − | 0.412804i | 0.0979113 | − | 0.995195i | \(-0.468784\pi\) |
−0.812909 | + | 0.582391i | \(0.802117\pi\) | |||||||
\(648\) | −17.7135 | − | 10.2269i | −0.695851 | − | 0.401750i | ||||
\(649\) | −3.79971 | + | 14.1807i | −0.149152 | + | 0.556642i | ||||
\(650\) | 22.2519 | + | 1.80512i | 0.872791 | + | 0.0708028i | ||||
\(651\) | 2.29087 | − | 8.54964i | 0.0897863 | − | 0.335087i | ||||
\(652\) | 22.8723 | 0.895747 | ||||||||
\(653\) | −2.69209 | + | 4.66284i | −0.105350 | + | 0.182471i | −0.913881 | − | 0.405982i | \(-0.866930\pi\) |
0.808531 | + | 0.588453i | \(0.200263\pi\) | |||||||
\(654\) | 1.33332 | + | 2.30938i | 0.0521371 | + | 0.0903041i | ||||
\(655\) | −12.1910 | + | 39.0954i | −0.476342 | + | 1.52758i | ||||
\(656\) | − | 4.39285i | − | 0.171512i | ||||||
\(657\) | −5.55437 | + | 20.7292i | −0.216697 | + | 0.808723i | ||||
\(658\) | 0.793246 | 0.0309239 | ||||||||
\(659\) | 2.12539 | − | 3.68128i | 0.0827935 | − | 0.143402i | −0.821655 | − | 0.569985i | \(-0.806949\pi\) |
0.904449 | + | 0.426582i | \(0.140282\pi\) | |||||||
\(660\) | 1.39870 | + | 0.436151i | 0.0544441 | + | 0.0169772i | ||||
\(661\) | 3.08802 | + | 11.5246i | 0.120110 | + | 0.448257i | 0.999618 | − | 0.0276270i | \(-0.00879505\pi\) |
−0.879508 | + | 0.475884i | \(0.842128\pi\) | |||||||
\(662\) | −2.45660 | − | 9.16815i | −0.0954784 | − | 0.356330i | ||||
\(663\) | −6.73922 | + | 1.80577i | −0.261730 | + | 0.0701302i | ||||
\(664\) | −7.52138 | − | 2.01535i | −0.291886 | − | 0.0782107i | ||||
\(665\) | 4.93880 | + | 9.41458i | 0.191519 | + | 0.365082i | ||||
\(666\) | −12.5494 | + | 0.816304i | −0.486278 | + | 0.0316311i | ||||
\(667\) | −1.57952 | + | 1.57952i | −0.0611594 | + | 0.0611594i | ||||
\(668\) | −15.9982 | − | 27.7096i | −0.618987 | − | 1.07212i | ||||
\(669\) | −1.33594 | + | 2.31392i | −0.0516506 | + | 0.0894614i | ||||
\(670\) | 0.448834 | + | 0.486719i | 0.0173400 | + | 0.0188036i | ||||
\(671\) | −13.8584 | + | 3.71335i | −0.534998 | + | 0.143352i | ||||
\(672\) | −6.39829 | −0.246819 | ||||||||
\(673\) | −40.4050 | + | 10.8265i | −1.55750 | + | 0.417331i | −0.931871 | − | 0.362790i | \(-0.881824\pi\) |
−0.625629 | + | 0.780121i | \(0.715158\pi\) | |||||||
\(674\) | 12.8508 | − | 12.8508i | 0.494995 | − | 0.494995i | ||||
\(675\) | 5.56288 | + | 6.54511i | 0.214115 | + | 0.251921i | ||||
\(676\) | −39.9000 | −1.53461 | ||||||||
\(677\) | 29.1426 | + | 29.1426i | 1.12004 | + | 1.12004i | 0.991734 | + | 0.128308i | \(0.0409547\pi\) |
0.128308 | + | 0.991734i | \(0.459045\pi\) | |||||||
\(678\) | −0.973406 | + | 3.63280i | −0.0373834 | + | 0.139517i | ||||
\(679\) | 6.65263 | + | 24.8280i | 0.255305 | + | 0.952810i | ||||
\(680\) | 9.82821 | + | 18.7350i | 0.376895 | + | 0.718454i | ||||
\(681\) | 6.39132 | + | 1.71255i | 0.244916 | + | 0.0656250i | ||||
\(682\) | 8.33309 | + | 2.23285i | 0.319091 | + | 0.0855001i | ||||
\(683\) | 24.2923 | − | 14.0251i | 0.929518 | − | 0.536657i | 0.0428588 | − | 0.999081i | \(-0.486353\pi\) |
0.886659 | + | 0.462424i | \(0.153020\pi\) | |||||||
\(684\) | 5.31040 | − | 1.42292i | 0.203048 | − | 0.0544066i | ||||
\(685\) | −15.8705 | − | 17.2101i | −0.606381 | − | 0.657564i | ||||
\(686\) | −0.651349 | − | 0.174528i | −0.0248686 | − | 0.00666352i | ||||
\(687\) | −1.47093 | + | 5.48959i | −0.0561195 | + | 0.209441i | ||||
\(688\) | −1.56321 | + | 0.902518i | −0.0595967 | + | 0.0344082i | ||||
\(689\) | 0.515674 | − | 0.515674i | 0.0196456 | − | 0.0196456i | ||||
\(690\) | −1.68473 | − | 1.82693i | −0.0641365 | − | 0.0695501i | ||||
\(691\) | 6.52877 | − | 3.76939i | 0.248366 | − | 0.143394i | −0.370650 | − | 0.928773i | \(-0.620865\pi\) |
0.619016 | + | 0.785378i | \(0.287532\pi\) | |||||||
\(692\) | −1.76876 | + | 1.76876i | −0.0672382 | + | 0.0672382i | ||||
\(693\) | 11.7290 | − | 11.7290i | 0.445548 | − | 0.445548i | ||||
\(694\) | −6.42601 | − | 11.1302i | −0.243928 | − | 0.422495i | ||||
\(695\) | −36.0352 | + | 18.9038i | −1.36689 | + | 0.717060i | ||||
\(696\) | 0.258131 | + | 0.149032i | 0.00978444 | + | 0.00564905i | ||||
\(697\) | − | 13.5604i | − | 0.513638i | ||||||
\(698\) | 3.42016 | − | 5.92389i | 0.129455 | − | 0.224223i | ||||
\(699\) | −4.47504 | − | 2.58367i | −0.169262 | − | 0.0977233i | ||||
\(700\) | −26.6170 | − | 9.49769i | −1.00603 | − | 0.358979i | ||||
\(701\) | 0.650913 | − | 2.42924i | 0.0245846 | − | 0.0917511i | −0.952543 | − | 0.304403i | \(-0.901543\pi\) |
0.977128 | + | 0.212651i | \(0.0682099\pi\) | |||||||
\(702\) | 5.42398 | + | 5.42398i | 0.204715 | + | 0.204715i | ||||
\(703\) | 5.05390 | − | 5.75713i | 0.190611 | − | 0.217134i | ||||
\(704\) | − | 2.51110i | − | 0.0946407i | ||||||
\(705\) | −0.102877 | + | 0.162616i | −0.00387457 | + | 0.00612449i | ||||
\(706\) | −5.78482 | − | 3.33987i | −0.217715 | − | 0.125698i | ||||
\(707\) | −22.9919 | + | 6.16066i | −0.864699 | + | 0.231695i | ||||
\(708\) | 3.66833 | + | 2.11791i | 0.137864 | + | 0.0795961i | ||||
\(709\) | −20.3603 | + | 20.3603i | −0.764645 | + | 0.764645i | −0.977158 | − | 0.212513i | \(-0.931835\pi\) |
0.212513 | + | 0.977158i | \(0.431835\pi\) | |||||||
\(710\) | −1.01592 | − | 0.0411394i | −0.0381269 | − | 0.00154393i | ||||
\(711\) | 34.8506 | + | 34.8506i | 1.30700 | + | 1.30700i | ||||
\(712\) | −23.3788 | − | 6.26432i | −0.876156 | − | 0.234765i | ||||
\(713\) | 30.8109 | + | 30.8109i | 1.15388 | + | 1.15388i | ||||
\(714\) | −2.96607 | −0.111003 | ||||||||
\(715\) | 17.9312 | + | 11.3439i | 0.670588 | + | 0.424238i | ||||
\(716\) | 14.6352 | − | 3.92149i | 0.546943 | − | 0.146553i | ||||
\(717\) | 7.12641i | 0.266141i | ||||||||
\(718\) | −0.865416 | − | 1.49894i | −0.0322970 | − | 0.0559401i | ||||
\(719\) | −34.3528 | + | 19.8336i | −1.28114 | + | 0.739668i | −0.977057 | − | 0.212977i | \(-0.931684\pi\) |
−0.304085 | + | 0.952645i | \(0.598351\pi\) | |||||||
\(720\) | −4.30810 | + | 6.80977i | −0.160553 | + | 0.253785i | ||||
\(721\) | −3.03328 | − | 11.3204i | −0.112965 | − | 0.421592i | ||||
\(722\) | −6.17399 | + | 10.6937i | −0.229772 | + | 0.397977i | ||||
\(723\) | −1.52146 | − | 2.63525i | −0.0565838 | − | 0.0980060i | ||||
\(724\) | 8.21634 | + | 14.2311i | 0.305358 | + | 0.528896i | ||||
\(725\) | 1.34020 | + | 1.57684i | 0.0497738 | + | 0.0585623i | ||||
\(726\) | 1.27105 | + | 1.27105i | 0.0471730 | + | 0.0471730i | ||||
\(727\) | 32.7276 | + | 18.8953i | 1.21380 | + | 0.700788i | 0.963585 | − | 0.267402i | \(-0.0861651\pi\) |
0.250216 | + | 0.968190i | \(0.419498\pi\) | |||||||
\(728\) | −56.9405 | − | 15.2572i | −2.11035 | − | 0.565468i | ||||
\(729\) | − | 22.5519i | − | 0.835256i | ||||||
\(730\) | −11.1413 | − | 3.47417i | −0.412359 | − | 0.128585i | ||||
\(731\) | −4.82552 | + | 2.78602i | −0.178478 | + | 0.103045i | ||||
\(732\) | 4.13955i | 0.153002i | ||||||||
\(733\) | −2.60649 | − | 9.72755i | −0.0962729 | − | 0.359295i | 0.900936 | − | 0.433951i | \(-0.142881\pi\) |
−0.997209 | + | 0.0746557i | \(0.976214\pi\) | |||||||
\(734\) | −3.41206 | − | 3.41206i | −0.125941 | − | 0.125941i | ||||
\(735\) | 3.46190 | − | 3.19243i | 0.127694 | − | 0.117755i | ||||
\(736\) | 15.7488 | − | 27.2778i | 0.580510 | − | 1.00547i | ||||
\(737\) | 0.162863 | + | 0.607812i | 0.00599913 | + | 0.0223891i | ||||
\(738\) | −6.36364 | + | 3.67405i | −0.234249 | + | 0.135244i | ||||
\(739\) | −0.893761 | −0.0328775 | −0.0164388 | − | 0.999865i | \(-0.505233\pi\) | ||||
−0.0164388 | + | 0.999865i | \(0.505233\pi\) | |||||||
\(740\) | 0.498530 | + | 20.3579i | 0.0183263 | + | 0.748372i | ||||
\(741\) | −2.30302 | −0.0846034 | ||||||||
\(742\) | 0.268495 | − | 0.155016i | 0.00985678 | − | 0.00569081i | ||||
\(743\) | 11.1720 | + | 41.6944i | 0.409860 | + | 1.52962i | 0.794913 | + | 0.606724i | \(0.207516\pi\) |
−0.385053 | + | 0.922894i | \(0.625817\pi\) | |||||||
\(744\) | 2.90709 | − | 5.03522i | 0.106579 | − | 0.184600i | ||||
\(745\) | −3.46533 | − | 0.140327i | −0.126960 | − | 0.00514119i | ||||
\(746\) | 4.08463 | + | 4.08463i | 0.149549 | + | 0.149549i | ||||
\(747\) | −2.36956 | − | 8.84331i | −0.0866976 | − | 0.323560i | ||||
\(748\) | 8.60829i | 0.314750i | ||||||||
\(749\) | 6.94701 | − | 4.01086i | 0.253838 | − | 0.146554i | ||||
\(750\) | −1.81317 | + | 1.41881i | −0.0662077 | + | 0.0518077i | ||||
\(751\) | − | 20.4545i | − | 0.746394i | −0.927752 | − | 0.373197i | \(-0.878262\pi\) | ||
0.927752 | − | 0.373197i | \(-0.121738\pi\) | |||||||
\(752\) | −0.353772 | − | 0.0947930i | −0.0129007 | − | 0.00345674i | ||||
\(753\) | −2.69847 | − | 1.55796i | −0.0983378 | − | 0.0567754i | ||||
\(754\) | 1.30674 | + | 1.30674i | 0.0475885 | + | 0.0475885i | ||||
\(755\) | 18.6132 | − | 29.4216i | 0.677403 | − | 1.07076i | ||||
\(756\) | −4.85507 | − | 8.40923i | −0.176577 | − | 0.305841i | ||||
\(757\) | 18.6813 | + | 32.3569i | 0.678982 | + | 1.17603i | 0.975288 | + | 0.220938i | \(0.0709118\pi\) |
−0.296306 | + | 0.955093i | \(0.595755\pi\) | |||||||
\(758\) | −0.495613 | + | 0.858426i | −0.0180015 | + | 0.0311794i | ||||
\(759\) | −0.611316 | − | 2.28146i | −0.0221894 | − | 0.0828119i | ||||
\(760\) | 1.53305 | + | 6.81315i | 0.0556095 | + | 0.247139i | ||||
\(761\) | −42.5376 | + | 24.5591i | −1.54199 | + | 0.890267i | −0.543275 | + | 0.839555i | \(0.682816\pi\) |
−0.998713 | + | 0.0507128i | \(0.983851\pi\) | |||||||
\(762\) | −1.30280 | − | 2.25652i | −0.0471956 | − | 0.0817451i | ||||
\(763\) | − | 48.8870i | − | 1.76983i | ||||||
\(764\) | −29.8607 | + | 8.00116i | −1.08032 | + | 0.289472i | ||||
\(765\) | −13.2988 | + | 21.0213i | −0.480820 | + | 0.760027i | ||||
\(766\) | −8.39736 | −0.303409 | ||||||||
\(767\) | 43.3769 | + | 43.3769i | 1.56625 | + | 1.56625i | ||||
\(768\) | −3.02151 | − | 0.809610i | −0.109029 | − | 0.0292143i | ||||
\(769\) | −26.6764 | − | 26.6764i | −0.961977 | − | 0.961977i | 0.0373264 | − | 0.999303i | \(-0.488116\pi\) |
−0.999303 | + | 0.0373264i | \(0.988116\pi\) | |||||||
\(770\) | 6.11506 | + | 6.63122i | 0.220372 | + | 0.238973i | ||||
\(771\) | −6.06979 | + | 6.06979i | −0.218598 | + | 0.218598i | ||||
\(772\) | −15.2379 | − | 8.79758i | −0.548422 | − | 0.316632i | ||||
\(773\) | 15.5425 | − | 4.16459i | 0.559024 | − | 0.149790i | 0.0317660 | − | 0.999495i | \(-0.489887\pi\) |
0.527258 | + | 0.849705i | \(0.323220\pi\) | |||||||
\(774\) | 2.61484 | + | 1.50968i | 0.0939885 | + | 0.0542643i | ||||
\(775\) | 30.7585 | − | 26.1426i | 1.10488 | − | 0.939069i | ||||
\(776\) | 16.8842i | 0.606108i | ||||||||
\(777\) | −5.97958 | − | 2.95247i | −0.214516 | − | 0.105919i | ||||
\(778\) | −4.77240 | − | 4.77240i | −0.171099 | − | 0.171099i | ||||
\(779\) | 1.15851 | − | 4.32363i | 0.0415081 | − | 0.154910i | ||||
\(780\) | 4.50050 | − | 4.15019i | 0.161144 | − | 0.148601i | ||||
\(781\) | −0.836881 | − | 0.483173i | −0.0299460 | − | 0.0172893i | ||||
\(782\) | 7.30074 | − | 12.6452i | 0.261074 | − | 0.452193i | ||||
\(783\) | 0.711039i | 0.0254104i | ||||||||
\(784\) | 7.76232 | + | 4.48158i | 0.277226 | + | 0.160056i | ||||
\(785\) | 4.81026 | − | 15.4260i | 0.171686 | − | 0.550579i | ||||
\(786\) | −1.88568 | − | 3.26610i | −0.0672601 | − | 0.116498i | ||||
\(787\) | −26.8122 | + | 26.8122i | −0.955751 | + | 0.955751i | −0.999062 | − | 0.0433110i | \(-0.986209\pi\) |
0.0433110 | + | 0.999062i | \(0.486209\pi\) | |||||||
\(788\) | 25.5149 | − | 25.5149i | 0.908932 | − | 0.908932i | ||||
\(789\) | 1.55932 | − | 0.900271i | 0.0555131 | − | 0.0320505i | ||||
\(790\) | −19.7035 | + | 18.1698i | −0.701019 | + | 0.646453i | ||||
\(791\) | 48.7540 | − | 48.7540i | 1.73349 | − | 1.73349i | ||||
\(792\) | 9.43605 | − | 5.44791i | 0.335296 | − | 0.193583i | ||||
\(793\) | −15.5162 | + | 57.9071i | −0.550995 | + | 2.05634i | ||||
\(794\) | 11.2937 | + | 3.02613i | 0.400797 | + | 0.107393i | ||||
\(795\) | −0.00304301 | + | 0.0751461i | −0.000107925 | + | 0.00266516i | ||||
\(796\) | −11.0149 | + | 2.95144i | −0.390413 | + | 0.104611i | ||||
\(797\) | 6.05275 | − | 3.49455i | 0.214399 | − | 0.123783i | −0.388955 | − | 0.921257i | \(-0.627164\pi\) |
0.603354 | + | 0.797473i | \(0.293831\pi\) | |||||||
\(798\) | −0.945708 | − | 0.253402i | −0.0334777 | − | 0.00897032i | ||||
\(799\) | −1.09207 | − | 0.292620i | −0.0386347 | − | 0.0103521i | ||||
\(800\) | −24.0084 | − | 16.5857i | −0.848825 | − | 0.586392i | ||||
\(801\) | −7.36531 | − | 27.4877i | −0.260240 | − | 0.971230i | ||||
\(802\) | 5.85636 | − | 21.8562i | 0.206795 | − | 0.771770i | ||||
\(803\) | −7.84311 | − | 7.84311i | −0.276777 | − | 0.276777i | ||||
\(804\) | 0.181556 | 0.00640297 | ||||||||
\(805\) | 10.0015 | + | 44.4484i | 0.352505 | + | 1.56660i | ||||
\(806\) | 25.4898 | − | 25.4898i | 0.897839 | − | 0.897839i | ||||
\(807\) | 5.66802 | − | 1.51874i | 0.199524 | − | 0.0534623i | ||||
\(808\) | −15.6356 | −0.550059 | ||||||||
\(809\) | −5.02074 | + | 1.34530i | −0.176520 | + | 0.0472984i | −0.345996 | − | 0.938236i | \(-0.612459\pi\) |
0.169476 | + | 0.985534i | \(0.445792\pi\) | |||||||
\(810\) | 13.0672 | + | 0.529152i | 0.459135 | + | 0.0185925i | ||||
\(811\) | −4.97793 | + | 8.62204i | −0.174799 | + | 0.302761i | −0.940092 | − | 0.340922i | \(-0.889261\pi\) |
0.765293 | + | 0.643682i | \(0.222594\pi\) | |||||||
\(812\) | −1.16968 | − | 2.02594i | −0.0410476 | − | 0.0710966i | ||||
\(813\) | −1.09598 | + | 1.09598i | −0.0384378 | + | 0.0384378i | ||||
\(814\) | 2.87769 | − | 5.82812i | 0.100863 | − | 0.204276i | ||||
\(815\) | −30.2502 | + | 15.8690i | −1.05962 | + | 0.555866i | ||||
\(816\) | 1.32281 | + | 0.354446i | 0.0463077 | + | 0.0124081i | ||||
\(817\) | −1.77660 | + | 0.476037i | −0.0621552 | + | 0.0166544i | ||||
\(818\) | −1.18742 | − | 4.43151i | −0.0415172 | − | 0.154944i | ||||
\(819\) | −17.9387 | − | 66.9481i | −0.626829 | − | 2.33936i | ||||
\(820\) | 5.52755 | + | 10.5369i | 0.193030 | + | 0.367963i | ||||
\(821\) | −14.8592 | + | 25.7369i | −0.518590 | + | 0.898224i | 0.481177 | + | 0.876624i | \(0.340210\pi\) |
−0.999767 | + | 0.0216006i | \(0.993124\pi\) | |||||||
\(822\) | 2.15595 | 0.0751972 | ||||||||
\(823\) | −6.79970 | + | 25.3768i | −0.237023 | + | 0.884580i | 0.740204 | + | 0.672382i | \(0.234729\pi\) |
−0.977227 | + | 0.212198i | \(0.931938\pi\) | |||||||
\(824\) | − | 7.69839i | − | 0.268186i | ||||||
\(825\) | −2.15248 | + | 0.393586i | −0.0749397 | + | 0.0137029i | ||||
\(826\) | 13.0395 | + | 22.5850i | 0.453701 | + | 0.785833i | ||||
\(827\) | 3.30343 | − | 5.72170i | 0.114871 | − | 0.198963i | −0.802857 | − | 0.596172i | \(-0.796688\pi\) |
0.917728 | + | 0.397209i | \(0.130021\pi\) | |||||||
\(828\) | 23.5600 | 0.818765 | ||||||||
\(829\) | −0.536841 | + | 2.00352i | −0.0186453 | + | 0.0695851i | −0.974622 | − | 0.223859i | \(-0.928135\pi\) |
0.955976 | + | 0.293444i | \(0.0948013\pi\) | |||||||
\(830\) | 4.85729 | − | 1.09295i | 0.168599 | − | 0.0379370i | ||||
\(831\) | 1.27743 | − | 4.76742i | 0.0443134 | − | 0.165380i | ||||
\(832\) | −9.08685 | − | 5.24630i | −0.315030 | − | 0.181883i | ||||
\(833\) | 23.9618 | + | 13.8344i | 0.830227 | + | 0.479332i | ||||
\(834\) | 0.969919 | − | 3.61979i | 0.0335856 | − | 0.125343i | ||||
\(835\) | 40.3838 | + | 25.5483i | 1.39754 | + | 0.884134i | ||||
\(836\) | −0.735435 | + | 2.74468i | −0.0254356 | + | 0.0949268i | ||||
\(837\) | 13.8698 | 0.479412 | ||||||||
\(838\) | −12.7528 | + | 22.0885i | −0.440538 | + | 0.763034i | ||||
\(839\) | −3.92448 | − | 6.79740i | −0.135488 | − | 0.234672i | 0.790296 | − | 0.612726i | \(-0.209927\pi\) |
−0.925784 | + | 0.378053i | \(0.876594\pi\) | |||||||
\(840\) | 5.38346 | − | 2.82411i | 0.185747 | − | 0.0974412i | ||||
\(841\) | − | 28.8287i | − | 0.994093i | ||||||
\(842\) | 3.54911 | − | 13.2455i | 0.122311 | − | 0.456469i | ||||
\(843\) | 6.64304 | 0.228799 | ||||||||
\(844\) | −18.2646 | + | 31.6352i | −0.628693 | + | 1.08893i | ||||
\(845\) | 52.7705 | − | 27.6829i | 1.81536 | − | 0.952322i | ||||
\(846\) | 0.158564 | + | 0.591769i | 0.00545155 | + | 0.0203454i | ||||
\(847\) | −8.52905 | − | 31.8308i | −0.293061 | − | 1.09372i | ||||
\(848\) | −0.138268 | + | 0.0370488i | −0.00474815 | + | 0.00127226i | ||||
\(849\) | −2.98792 | − | 0.800610i | −0.102545 | − | 0.0274769i | ||||
\(850\) | −11.1296 | − | 7.68867i | −0.381744 | − | 0.263719i | ||||
\(851\) | 27.3055 | − | 18.2254i | 0.936020 | − | 0.624760i | ||||
\(852\) | −0.197152 | + | 0.197152i | −0.00675432 | + | 0.00675432i | ||||
\(853\) | 14.6999 | + | 25.4610i | 0.503315 | + | 0.871768i | 0.999993 | + | 0.00383238i | \(0.00121989\pi\) |
−0.496677 | + | 0.867935i | \(0.665447\pi\) | |||||||
\(854\) | −12.7431 | + | 22.0717i | −0.436059 | + | 0.755277i | ||||
\(855\) | −6.03614 | + | 5.56631i | −0.206432 | + | 0.190364i | ||||
\(856\) | 5.08973 | − | 1.36379i | 0.173963 | − | 0.0466134i | ||||
\(857\) | −41.1530 | −1.40576 | −0.702879 | − | 0.711309i | \(-0.748103\pi\) | ||||
−0.702879 | + | 0.711309i | \(0.748103\pi\) | |||||||
\(858\) | −1.88745 | + | 0.505741i | −0.0644365 | + | 0.0172657i | ||||
\(859\) | 34.7318 | − | 34.7318i | 1.18504 | − | 1.18504i | 0.206613 | − | 0.978423i | \(-0.433756\pi\) |
0.978423 | − | 0.206613i | \(-0.0662440\pi\) | |||||||
\(860\) | 2.61393 | − | 4.13181i | 0.0891343 | − | 0.140894i | ||||
\(861\) | −3.89656 | −0.132794 | ||||||||
\(862\) | 11.2162 | + | 11.2162i | 0.382025 | + | 0.382025i | ||||
\(863\) | −1.20870 | + | 4.51093i | −0.0411446 | + | 0.153554i | −0.983442 | − | 0.181223i | \(-0.941994\pi\) |
0.942297 | + | 0.334777i | \(0.108661\pi\) | |||||||
\(864\) | −2.59494 | − | 9.68444i | −0.0882816 | − | 0.329472i | ||||
\(865\) | 1.11213 | − | 3.56649i | 0.0378136 | − | 0.121264i | ||||
\(866\) | 7.14858 | + | 1.91546i | 0.242919 | + | 0.0650898i | ||||
\(867\) | −0.685275 | − | 0.183619i | −0.0232732 | − | 0.00623602i | ||||
\(868\) | −39.5189 | + | 22.8162i | −1.34136 | + | 0.774433i | ||||
\(869\) | −24.6056 | + | 6.59306i | −0.834689 | + | 0.223654i | ||||
\(870\) | −0.190423 | − | 0.00771111i | −0.00645595 | − | 0.000261431i | ||||
\(871\) | 2.53973 | + | 0.680519i | 0.0860556 | + | 0.0230585i | ||||
\(872\) | 8.31139 | − | 31.0185i | 0.281459 | − | 1.05042i | ||||
\(873\) | −17.1921 | + | 9.92586i | −0.581864 | + | 0.335939i | ||||
\(874\) | 3.40810 | − | 3.40810i | 0.115281 | − | 0.115281i | ||||
\(875\) | 41.7925 | − | 5.90575i | 1.41284 | − | 0.199651i | ||||
\(876\) | −2.77152 | + | 1.60014i | −0.0936409 | + | 0.0540636i | ||||
\(877\) | −0.436120 | + | 0.436120i | −0.0147267 | + | 0.0147267i | −0.714432 | − | 0.699705i | \(-0.753315\pi\) |
0.699705 | + | 0.714432i | \(0.253315\pi\) | |||||||
\(878\) | 0.989992 | − | 0.989992i | 0.0334106 | − | 0.0334106i | ||||
\(879\) | 1.90152 | + | 3.29353i | 0.0641366 | + | 0.111088i | ||||
\(880\) | −1.93477 | − | 3.68815i | −0.0652210 | − | 0.124327i | ||||
\(881\) | −31.3539 | − | 18.1022i | −1.05634 | − | 0.609878i | −0.131923 | − | 0.991260i | \(-0.542115\pi\) |
−0.924418 | + | 0.381382i | \(0.875448\pi\) | |||||||
\(882\) | − | 14.9930i | − | 0.504842i | ||||||
\(883\) | 18.9949 | − | 32.9001i | 0.639228 | − | 1.10718i | −0.346374 | − | 0.938096i | \(-0.612587\pi\) |
0.985602 | − | 0.169079i | \(-0.0540793\pi\) | |||||||
\(884\) | 31.1506 | + | 17.9848i | 1.04771 | + | 0.604894i | ||||
\(885\) | −6.32106 | − | 0.255969i | −0.212480 | − | 0.00860430i | ||||
\(886\) | 0.913448 | − | 3.40903i | 0.0306879 | − | 0.114529i | ||||
\(887\) | −16.7808 | − | 16.7808i | −0.563444 | − | 0.563444i | 0.366840 | − | 0.930284i | \(-0.380440\pi\) |
−0.930284 | + | 0.366840i | \(0.880440\pi\) | |||||||
\(888\) | −3.29205 | − | 2.88993i | −0.110474 | − | 0.0969796i | ||||
\(889\) | 47.7679i | 1.60209i | ||||||||
\(890\) | 15.0979 | − | 3.39723i | 0.506084 | − | 0.113876i | ||||
\(891\) | 10.7643 | + | 6.21477i | 0.360618 | + | 0.208203i | ||||
\(892\) | 13.3055 | − | 3.56520i | 0.445502 | − | 0.119372i | ||||
\(893\) | −0.323198 | − | 0.186599i | −0.0108154 | − | 0.00624429i | ||||
\(894\) | 0.225844 | − | 0.225844i | 0.00755336 | − | 0.00755336i | ||||
\(895\) | −16.6353 | + | 15.3405i | −0.556057 | + | 0.512775i | ||||
\(896\) | 28.0039 | + | 28.0039i | 0.935546 | + | 0.935546i | ||||
\(897\) | −9.53305 | − | 2.55437i | −0.318299 | − | 0.0852880i | ||||
\(898\) | −5.57955 | − | 5.57955i | −0.186192 | − | 0.186192i | ||||
\(899\) | 3.34150 | 0.111445 | ||||||||
\(900\) | 1.76482 | − | 21.7551i | 0.0588274 | − | 0.725170i | ||||
\(901\) | −0.426825 | + | 0.114367i | −0.0142196 | + | 0.00381013i | ||||
\(902\) | − | 3.79787i | − | 0.126455i | ||||||
\(903\) | 0.800555 | + | 1.38660i | 0.0266408 | + | 0.0461432i | ||||
\(904\) | 39.2229 | − | 22.6454i | 1.30453 | − | 0.753173i | ||||
\(905\) | −20.7404 | − | 13.1211i | −0.689433 | − | 0.436160i | ||||
\(906\) | 0.829824 | + | 3.09695i | 0.0275691 | + | 0.102889i | ||||
\(907\) | −4.64967 | + | 8.05347i | −0.154390 | + | 0.267411i | −0.932837 | − | 0.360299i | \(-0.882675\pi\) |
0.778447 | + | 0.627711i | \(0.216008\pi\) | |||||||
\(908\) | −17.0564 | − | 29.5425i | −0.566035 | − | 0.980401i | ||||
\(909\) | −9.19183 | − | 15.9207i | −0.304874 | − | 0.528057i | ||||
\(910\) | 36.7720 | − | 8.27419i | 1.21898 | − | 0.274287i | ||||
\(911\) | 19.5921 | + | 19.5921i | 0.649117 | + | 0.649117i | 0.952780 | − | 0.303663i | \(-0.0982097\pi\) |
−0.303663 | + | 0.952780i | \(0.598210\pi\) | |||||||
\(912\) | 0.391486 | + | 0.226024i | 0.0129634 | + | 0.00748441i | ||||
\(913\) | 4.57067 | + | 1.22471i | 0.151267 | + | 0.0405319i | ||||
\(914\) | 18.0269i | 0.596276i | ||||||||
\(915\) | −2.87206 | − | 5.47485i | −0.0949473 | − | 0.180993i | ||||
\(916\) | 25.3744 | − | 14.6499i | 0.838395 | − | 0.484048i | ||||
\(917\) | 69.1396i | 2.28319i | ||||||||
\(918\) | −1.20294 | − | 4.48945i | −0.0397030 | − | 0.148174i | ||||
\(919\) | −12.9475 | − | 12.9475i | −0.427099 | − | 0.427099i | 0.460540 | − | 0.887639i | \(-0.347656\pi\) |
−0.887639 | + | 0.460540i | \(0.847656\pi\) | |||||||
\(920\) | −1.21089 | + | 29.9026i | −0.0399220 | + | 0.985859i | ||||
\(921\) | 0.336111 | − | 0.582162i | 0.0110752 | − | 0.0191829i | ||||
\(922\) | 2.27301 | + | 8.48300i | 0.0748577 | + | 0.279373i | ||||
\(923\) | −3.49689 | + | 2.01893i | −0.115102 | + | 0.0664539i | ||||
\(924\) | 2.47357 | 0.0813745 | ||||||||
\(925\) | −14.7838 | − | 26.5789i | −0.486090 | − | 0.873909i | ||||
\(926\) | −6.29426 | −0.206842 | ||||||||
\(927\) | 7.83877 | − | 4.52571i | 0.257459 | − | 0.148644i | ||||
\(928\) | −0.625169 | − | 2.33316i | −0.0205222 | − | 0.0765898i | ||||
\(929\) | 18.7076 | − | 32.4025i | 0.613776 | − | 1.06309i | −0.376822 | − | 0.926286i | \(-0.622983\pi\) |
0.990598 | − | 0.136806i | \(-0.0436837\pi\) | |||||||
\(930\) | −0.150416 | + | 3.71448i | −0.00493234 | + | 0.121802i | ||||
\(931\) | 6.45810 | + | 6.45810i | 0.211656 | + | 0.211656i | ||||
\(932\) | 6.89497 | + | 25.7324i | 0.225852 | + | 0.842892i | ||||
\(933\) | − | 1.89987i | − | 0.0621989i | ||||||
\(934\) | −21.5090 | + | 12.4182i | −0.703797 | + | 0.406337i | ||||
\(935\) | −5.97250 | − | 11.3851i | −0.195322 | − | 0.372332i | ||||
\(936\) | − | 45.5280i | − | 1.48813i | ||||||
\(937\) | 23.8849 | + | 6.39994i | 0.780286 | + | 0.209077i | 0.626911 | − | 0.779091i | \(-0.284319\pi\) |
0.153375 | + | 0.988168i | \(0.450986\pi\) | |||||||
\(938\) | 0.968035 | + | 0.558895i | 0.0316075 | + | 0.0182486i | ||||
\(939\) | 1.56236 | + | 1.56236i | 0.0509857 | + | 0.0509857i | ||||
\(940\) | 0.967851 | − | 0.217779i | 0.0315678 | − | 0.00710317i | ||||
\(941\) | −2.84044 | − | 4.91978i | −0.0925956 | − | 0.160380i | 0.816007 | − | 0.578042i | \(-0.196183\pi\) |
−0.908603 | + | 0.417662i | \(0.862850\pi\) | |||||||
\(942\) | 0.744043 | + | 1.28872i | 0.0242422 | + | 0.0419888i | ||||
\(943\) | 9.59106 | − | 16.6122i | 0.312328 | − | 0.540968i | ||||
\(944\) | −3.11643 | − | 11.6307i | −0.101431 | − | 0.378547i | ||||
\(945\) | 12.2556 | + | 7.75331i | 0.398674 | + | 0.252215i | ||||
\(946\) | −1.35148 | + | 0.780278i | −0.0439405 | + | 0.0253690i | ||||
\(947\) | −21.1147 | − | 36.5717i | −0.686135 | − | 1.18842i | −0.973079 | − | 0.230473i | \(-0.925973\pi\) |
0.286944 | − | 0.957947i | \(-0.407361\pi\) | |||||||
\(948\) | 7.34978i | 0.238710i | ||||||||
\(949\) | −44.7678 | + | 11.9955i | −1.45322 | + | 0.389390i | ||||
\(950\) | −2.89173 | − | 3.40231i | −0.0938200 | − | 0.110386i | ||||
\(951\) | −4.54337 | −0.147329 | ||||||||
\(952\) | 25.2568 | + | 25.2568i | 0.818578 | + | 0.818578i | ||||
\(953\) | −39.3277 | − | 10.5378i | −1.27395 | − | 0.341354i | −0.442407 | − | 0.896814i | \(-0.645875\pi\) |
−0.831543 | + | 0.555460i | \(0.812542\pi\) | |||||||
\(954\) | 0.169314 | + | 0.169314i | 0.00548173 | + | 0.00548173i | ||||
\(955\) | 33.9417 | − | 31.2997i | 1.09833 | − | 1.01284i | ||||
\(956\) | 25.9792 | − | 25.9792i | 0.840227 | − | 0.840227i | ||||
\(957\) | −0.156864 | − | 0.0905653i | −0.00507068 | − | 0.00292756i | ||||
\(958\) | 22.9283 | − | 6.14362i | 0.740780 | − | 0.198491i | ||||
\(959\) | −34.2292 | − | 19.7622i | −1.10532 | − | 0.638155i | ||||
\(960\) | 1.05567 | − | 0.237541i | 0.0340718 | − | 0.00766659i | ||||
\(961\) | − | 34.1808i | − | 1.10261i | ||||||
\(962\) | −15.0779 | − | 22.5898i | −0.486130 | − | 0.728324i | ||||
\(963\) | 4.38080 | + | 4.38080i | 0.141169 | + | 0.141169i | ||||
\(964\) | −4.06029 | + | 15.1532i | −0.130773 | + | 0.488052i | ||||
\(965\) | 26.2570 | + | 1.06327i | 0.845241 | + | 0.0342277i | ||||
\(966\) | −3.63358 | − | 2.09785i | −0.116909 | − | 0.0674972i | ||||
\(967\) | −1.24675 | + | 2.15943i | −0.0400926 | + | 0.0694425i | −0.885375 | − | 0.464877i | \(-0.846099\pi\) |
0.845283 | + | 0.534319i | \(0.179432\pi\) | |||||||
\(968\) | − | 21.6465i | − | 0.695745i | ||||||
\(969\) | 1.20849 | + | 0.697723i | 0.0388223 | + | 0.0224141i | ||||
\(970\) | −5.01509 | − | 9.56000i | −0.161025 | − | 0.306953i | ||||
\(971\) | −28.7480 | − | 49.7930i | −0.922568 | − | 1.59793i | −0.795426 | − | 0.606050i | \(-0.792753\pi\) |
−0.127142 | − | 0.991885i | \(-0.540580\pi\) | |||||||
\(972\) | 7.99212 | − | 7.99212i | 0.256347 | − | 0.256347i | ||||
\(973\) | −48.5794 | + | 48.5794i | −1.55738 | + | 1.55738i | ||||
\(974\) | −3.75275 | + | 2.16665i | −0.120246 | + | 0.0694240i | ||||
\(975\) | −3.07279 | + | 8.61141i | −0.0984080 | + | 0.275786i | ||||
\(976\) | 8.32074 | − | 8.32074i | 0.266340 | − | 0.266340i | ||||
\(977\) | −3.32671 | + | 1.92068i | −0.106431 | + | 0.0614479i | −0.552271 | − | 0.833665i | \(-0.686238\pi\) |
0.445840 | + | 0.895113i | \(0.352905\pi\) | |||||||
\(978\) | 0.814209 | − | 3.03867i | 0.0260355 | − | 0.0971660i | ||||
\(979\) | 14.2070 | + | 3.80676i | 0.454059 | + | 0.121665i | ||||
\(980\) | −24.2582 | − | 0.982327i | −0.774901 | − | 0.0313793i | ||||
\(981\) | 36.4702 | − | 9.77216i | 1.16440 | − | 0.312001i | ||||
\(982\) | 5.55352 | − | 3.20633i | 0.177220 | − | 0.102318i | ||||
\(983\) | −49.3459 | − | 13.2222i | −1.57389 | − | 0.421723i | −0.636863 | − | 0.770977i | \(-0.719768\pi\) |
−0.937028 | + | 0.349255i | \(0.886435\pi\) | |||||||
\(984\) | −2.47235 | − | 0.662463i | −0.0788155 | − | 0.0211185i | ||||
\(985\) | −16.0428 | + | 51.4478i | −0.511167 | + | 1.63926i | ||||
\(986\) | −0.289811 | − | 1.08159i | −0.00922947 | − | 0.0344449i | ||||
\(987\) | −0.0840836 | + | 0.313804i | −0.00267641 | + | 0.00998850i | ||||
\(988\) | 8.39560 | + | 8.39560i | 0.267100 | + | 0.267100i | ||||
\(989\) | −7.88199 | −0.250633 | ||||||||
\(990\) | −3.72460 | + | 5.88743i | −0.118376 | + | 0.187115i | ||||
\(991\) | 15.7586 | − | 15.7586i | 0.500588 | − | 0.500588i | −0.411033 | − | 0.911621i | \(-0.634832\pi\) |
0.911621 | + | 0.411033i | \(0.134832\pi\) | |||||||
\(992\) | −45.5117 | + | 12.1948i | −1.44500 | + | 0.387186i | ||||
\(993\) | 3.88728 | 0.123359 | ||||||||
\(994\) | −1.65810 | + | 0.444287i | −0.0525918 | + | 0.0140919i | ||||
\(995\) | 12.5203 | − | 11.5457i | 0.396919 | − | 0.366024i | ||||
\(996\) | 0.682636 | − | 1.18236i | 0.0216302 | − | 0.0374645i | ||||
\(997\) | 12.9584 | + | 22.4446i | 0.410397 | + | 0.710828i | 0.994933 | − | 0.100540i | \(-0.0320569\pi\) |
−0.584536 | + | 0.811368i | \(0.698724\pi\) | |||||||
\(998\) | −8.10206 | + | 8.10206i | −0.256466 | + | 0.256466i | ||||
\(999\) | 2.04374 | − | 10.2481i | 0.0646610 | − | 0.324236i |
(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 | 185.2.u.a.8.8 | yes | 68 | |
5.2 | odd | 4 | 185.2.p.a.82.8 | ✓ | 68 | ||
5.3 | odd | 4 | 925.2.t.b.82.10 | 68 | |||
5.4 | even | 2 | 925.2.y.b.193.10 | 68 | |||
37.14 | odd | 12 | 185.2.p.a.88.8 | yes | 68 | ||
185.14 | odd | 12 | 925.2.t.b.643.10 | 68 | |||
185.88 | even | 12 | 925.2.y.b.532.10 | 68 | |||
185.162 | even | 12 | inner | 185.2.u.a.162.8 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.p.a.82.8 | ✓ | 68 | 5.2 | odd | 4 | ||
185.2.p.a.88.8 | yes | 68 | 37.14 | odd | 12 | ||
185.2.u.a.8.8 | yes | 68 | 1.1 | even | 1 | trivial | |
185.2.u.a.162.8 | yes | 68 | 185.162 | even | 12 | inner | |
925.2.t.b.82.10 | 68 | 5.3 | odd | 4 | |||
925.2.t.b.643.10 | 68 | 185.14 | odd | 12 | |||
925.2.y.b.193.10 | 68 | 5.4 | even | 2 | |||
925.2.y.b.532.10 | 68 | 185.88 | even | 12 |