Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(27,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.o (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 183.36 | ||
Character | \(\chi\) | \(=\) | 260.183 |
Dual form | 260.2.o.a.27.36 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41351 | + | 0.0447185i | 0.999500 | + | 0.0316208i | ||||
\(3\) | −1.60820 | + | 1.60820i | −0.928493 | + | 0.928493i | −0.997609 | − | 0.0691158i | \(-0.977982\pi\) |
0.0691158 | + | 0.997609i | \(0.477982\pi\) | |||||||
\(4\) | 1.99600 | + | 0.126420i | 0.998000 | + | 0.0632099i | ||||
\(5\) | 1.86263 | − | 1.23718i | 0.832992 | − | 0.553285i | ||||
\(6\) | −2.34511 | + | 2.20128i | −0.957388 | + | 0.898669i | ||||
\(7\) | 0.275770 | + | 0.275770i | 0.104231 | + | 0.104231i | 0.757299 | − | 0.653068i | \(-0.226518\pi\) |
−0.653068 | + | 0.757299i | \(0.726518\pi\) | |||||||
\(8\) | 2.81571 | + | 0.267954i | 0.995502 | + | 0.0947359i | ||||
\(9\) | − | 2.17259i | − | 0.724198i | ||||||
\(10\) | 2.68816 | − | 1.66547i | 0.850071 | − | 0.526668i | ||||
\(11\) | 0.822170i | 0.247894i | 0.992289 | + | 0.123947i | \(0.0395552\pi\) | ||||
−0.992289 | + | 0.123947i | \(0.960445\pi\) | |||||||
\(12\) | −3.41327 | + | 3.00665i | −0.985326 | + | 0.867946i | ||||
\(13\) | 0.707107 | + | 0.707107i | 0.196116 | + | 0.196116i | ||||
\(14\) | 0.377470 | + | 0.402134i | 0.100883 | + | 0.107475i | ||||
\(15\) | −1.00584 | + | 4.98510i | −0.259707 | + | 1.28715i | ||||
\(16\) | 3.96804 | + | 0.504668i | 0.992009 | + | 0.126167i | ||||
\(17\) | −4.59726 | + | 4.59726i | −1.11500 | + | 1.11500i | −0.122536 | + | 0.992464i | \(0.539103\pi\) |
−0.992464 | + | 0.122536i | \(0.960897\pi\) | |||||||
\(18\) | 0.0971552 | − | 3.07097i | 0.0228997 | − | 0.723836i | ||||
\(19\) | −2.21590 | −0.508362 | −0.254181 | − | 0.967157i | \(-0.581806\pi\) | ||||
−0.254181 | + | 0.967157i | \(0.581806\pi\) | |||||||
\(20\) | 3.87421 | − | 2.23394i | 0.866300 | − | 0.499525i | ||||
\(21\) | −0.886983 | −0.193556 | ||||||||
\(22\) | −0.0367662 | + | 1.16214i | −0.00783859 | + | 0.247770i | ||||
\(23\) | 2.72038 | − | 2.72038i | 0.567239 | − | 0.567239i | −0.364115 | − | 0.931354i | \(-0.618628\pi\) |
0.931354 | + | 0.364115i | \(0.118628\pi\) | |||||||
\(24\) | −4.95913 | + | 4.09729i | −1.01228 | + | 0.836355i | ||||
\(25\) | 1.93876 | − | 4.60882i | 0.387752 | − | 0.921764i | ||||
\(26\) | 0.967879 | + | 1.03112i | 0.189817 | + | 0.202219i | ||||
\(27\) | −1.33063 | − | 1.33063i | −0.256080 | − | 0.256080i | ||||
\(28\) | 0.515573 | + | 0.585299i | 0.0974342 | + | 0.110611i | ||||
\(29\) | − | 7.29375i | − | 1.35442i | −0.735792 | − | 0.677208i | \(-0.763190\pi\) | ||
0.735792 | − | 0.677208i | \(-0.236810\pi\) | |||||||
\(30\) | −1.64469 | + | 7.00150i | −0.300277 | + | 1.27829i | ||||
\(31\) | − | 9.35295i | − | 1.67984i | −0.542711 | − | 0.839920i | \(-0.682602\pi\) | ||
0.542711 | − | 0.839920i | \(-0.317398\pi\) | |||||||
\(32\) | 5.58628 | + | 0.890797i | 0.987523 | + | 0.157472i | ||||
\(33\) | −1.32221 | − | 1.32221i | −0.230167 | − | 0.230167i | ||||
\(34\) | −6.70384 | + | 6.29268i | −1.14970 | + | 1.07919i | ||||
\(35\) | 0.854833 | + | 0.172479i | 0.144493 | + | 0.0291542i | ||||
\(36\) | 0.274659 | − | 4.33650i | 0.0457765 | − | 0.722750i | ||||
\(37\) | −4.29663 | + | 4.29663i | −0.706361 | + | 0.706361i | −0.965768 | − | 0.259407i | \(-0.916473\pi\) |
0.259407 | + | 0.965768i | \(0.416473\pi\) | |||||||
\(38\) | −3.13219 | − | 0.0990918i | −0.508108 | − | 0.0160748i | ||||
\(39\) | −2.27433 | −0.364185 | ||||||||
\(40\) | 5.57612 | − | 2.98444i | 0.881662 | − | 0.471882i | ||||
\(41\) | 1.02689 | 0.160373 | 0.0801865 | − | 0.996780i | \(-0.474448\pi\) | ||||
0.0801865 | + | 0.996780i | \(0.474448\pi\) | |||||||
\(42\) | −1.25376 | − | 0.0396646i | −0.193459 | − | 0.00612038i | ||||
\(43\) | −4.26400 | + | 4.26400i | −0.650253 | + | 0.650253i | −0.953054 | − | 0.302801i | \(-0.902078\pi\) |
0.302801 | + | 0.953054i | \(0.402078\pi\) | |||||||
\(44\) | −0.103939 | + | 1.64105i | −0.0156693 | + | 0.247398i | ||||
\(45\) | −2.68789 | − | 4.04673i | −0.400687 | − | 0.603251i | ||||
\(46\) | 3.96693 | − | 3.72363i | 0.584892 | − | 0.549019i | ||||
\(47\) | 3.16032 | + | 3.16032i | 0.460981 | + | 0.460981i | 0.898977 | − | 0.437996i | \(-0.144312\pi\) |
−0.437996 | + | 0.898977i | \(0.644312\pi\) | |||||||
\(48\) | −7.19299 | + | 5.56978i | −1.03822 | + | 0.803928i | ||||
\(49\) | − | 6.84790i | − | 0.978272i | ||||||
\(50\) | 2.94655 | − | 6.42790i | 0.416705 | − | 0.909042i | ||||
\(51\) | − | 14.7866i | − | 2.07054i | ||||||
\(52\) | 1.32199 | + | 1.50078i | 0.183327 | + | 0.208120i | ||||
\(53\) | 0.615128 | + | 0.615128i | 0.0844943 | + | 0.0844943i | 0.748091 | − | 0.663596i | \(-0.230971\pi\) |
−0.663596 | + | 0.748091i | \(0.730971\pi\) | |||||||
\(54\) | −1.82135 | − | 1.94036i | −0.247855 | − | 0.264050i | ||||
\(55\) | 1.01717 | + | 1.53140i | 0.137156 | + | 0.206493i | ||||
\(56\) | 0.702593 | + | 0.850379i | 0.0938879 | + | 0.113637i | ||||
\(57\) | 3.56360 | − | 3.56360i | 0.472011 | − | 0.472011i | ||||
\(58\) | 0.326166 | − | 10.3098i | 0.0428277 | − | 1.35374i | ||||
\(59\) | −12.3097 | −1.60258 | −0.801291 | − | 0.598275i | \(-0.795853\pi\) | ||||
−0.801291 | + | 0.598275i | \(0.795853\pi\) | |||||||
\(60\) | −2.63787 | + | 9.82311i | −0.340548 | + | 1.26816i | ||||
\(61\) | 1.78854 | 0.229000 | 0.114500 | − | 0.993423i | \(-0.463473\pi\) | ||||
0.114500 | + | 0.993423i | \(0.463473\pi\) | |||||||
\(62\) | 0.418250 | − | 13.2205i | 0.0531178 | − | 1.67900i | ||||
\(63\) | 0.599135 | − | 0.599135i | 0.0754839 | − | 0.0754839i | ||||
\(64\) | 7.85640 | + | 1.50896i | 0.982050 | + | 0.188620i | ||||
\(65\) | 2.19190 | + | 0.442257i | 0.271871 | + | 0.0548552i | ||||
\(66\) | −1.80983 | − | 1.92808i | −0.222774 | − | 0.237330i | ||||
\(67\) | −7.04616 | − | 7.04616i | −0.860825 | − | 0.860825i | 0.130609 | − | 0.991434i | \(-0.458307\pi\) |
−0.991434 | + | 0.130609i | \(0.958307\pi\) | |||||||
\(68\) | −9.75732 | + | 8.59495i | −1.18325 | + | 1.04229i | ||||
\(69\) | 8.74982i | 1.05335i | ||||||||
\(70\) | 1.20060 | + | 0.282027i | 0.143499 | + | 0.0337086i | ||||
\(71\) | 3.71294i | 0.440645i | 0.975427 | + | 0.220322i | \(0.0707110\pi\) | ||||
−0.975427 | + | 0.220322i | \(0.929289\pi\) | |||||||
\(72\) | 0.582154 | − | 6.11738i | 0.0686075 | − | 0.720941i | ||||
\(73\) | 0.126153 | + | 0.126153i | 0.0147650 | + | 0.0147650i | 0.714451 | − | 0.699686i | \(-0.246677\pi\) |
−0.699686 | + | 0.714451i | \(0.746677\pi\) | |||||||
\(74\) | −6.26545 | + | 5.88117i | −0.728344 | + | 0.683672i | ||||
\(75\) | 4.29398 | + | 10.5298i | 0.495826 | + | 1.21588i | ||||
\(76\) | −4.42294 | − | 0.280134i | −0.507346 | − | 0.0321335i | ||||
\(77\) | −0.226729 | + | 0.226729i | −0.0258382 | + | 0.0258382i | ||||
\(78\) | −3.21479 | − | 0.101705i | −0.364003 | − | 0.0115158i | ||||
\(79\) | 8.97712 | 1.01000 | 0.505002 | − | 0.863118i | \(-0.331492\pi\) | ||||
0.505002 | + | 0.863118i | \(0.331492\pi\) | |||||||
\(80\) | 8.01534 | − | 3.96917i | 0.896142 | − | 0.443767i | ||||
\(81\) | 10.7976 | 1.19974 | ||||||||
\(82\) | 1.45151 | + | 0.0459209i | 0.160293 | + | 0.00507112i | ||||
\(83\) | −3.04802 | + | 3.04802i | −0.334563 | + | 0.334563i | −0.854316 | − | 0.519753i | \(-0.826024\pi\) |
0.519753 | + | 0.854316i | \(0.326024\pi\) | |||||||
\(84\) | −1.77042 | − | 0.112132i | −0.193169 | − | 0.0122346i | ||||
\(85\) | −2.87534 | + | 14.2506i | −0.311874 | + | 1.54570i | ||||
\(86\) | −6.21787 | + | 5.83651i | −0.670490 | + | 0.629367i | ||||
\(87\) | 11.7298 | + | 11.7298i | 1.25757 | + | 1.25757i | ||||
\(88\) | −0.220303 | + | 2.31499i | −0.0234844 | + | 0.246779i | ||||
\(89\) | 12.5718i | 1.33261i | 0.745681 | + | 0.666303i | \(0.232124\pi\) | ||||
−0.745681 | + | 0.666303i | \(0.767876\pi\) | |||||||
\(90\) | −3.61839 | − | 5.84028i | −0.381412 | − | 0.615620i | ||||
\(91\) | 0.389997i | 0.0408828i | ||||||||
\(92\) | 5.77380 | − | 5.08598i | 0.601960 | − | 0.530250i | ||||
\(93\) | 15.0414 | + | 15.0414i | 1.55972 | + | 1.55972i | ||||
\(94\) | 4.32581 | + | 4.60846i | 0.446173 | + | 0.475327i | ||||
\(95\) | −4.12740 | + | 2.74147i | −0.423462 | + | 0.281269i | ||||
\(96\) | −10.4164 | + | 7.55125i | −1.06312 | + | 0.770697i | ||||
\(97\) | −3.35467 | + | 3.35467i | −0.340616 | + | 0.340616i | −0.856599 | − | 0.515983i | \(-0.827427\pi\) |
0.515983 | + | 0.856599i | \(0.327427\pi\) | |||||||
\(98\) | 0.306228 | − | 9.67955i | 0.0309337 | − | 0.977783i | ||||
\(99\) | 1.78624 | 0.179524 | ||||||||
\(100\) | 4.45241 | − | 8.95411i | 0.445241 | − | 0.895411i | ||||
\(101\) | −18.1244 | −1.80345 | −0.901724 | − | 0.432312i | \(-0.857698\pi\) | ||||
−0.901724 | + | 0.432312i | \(0.857698\pi\) | |||||||
\(102\) | 0.661235 | − | 20.9010i | 0.0654721 | − | 2.06950i | ||||
\(103\) | 8.43451 | − | 8.43451i | 0.831077 | − | 0.831077i | −0.156587 | − | 0.987664i | \(-0.550049\pi\) |
0.987664 | + | 0.156587i | \(0.0500492\pi\) | |||||||
\(104\) | 1.80153 | + | 2.18048i | 0.176655 | + | 0.213813i | ||||
\(105\) | −1.65212 | + | 1.09736i | −0.161230 | + | 0.107091i | ||||
\(106\) | 0.841980 | + | 0.896995i | 0.0817803 | + | 0.0871239i | ||||
\(107\) | 10.1220 | + | 10.1220i | 0.978534 | + | 0.978534i | 0.999774 | − | 0.0212405i | \(-0.00676156\pi\) |
−0.0212405 | + | 0.999774i | \(0.506762\pi\) | |||||||
\(108\) | −2.48772 | − | 2.82416i | −0.239381 | − | 0.271755i | ||||
\(109\) | 6.02509i | 0.577099i | 0.957465 | + | 0.288549i | \(0.0931729\pi\) | ||||
−0.957465 | + | 0.288549i | \(0.906827\pi\) | |||||||
\(110\) | 1.36930 | + | 2.21012i | 0.130558 | + | 0.210727i | ||||
\(111\) | − | 13.8196i | − | 1.31170i | ||||||
\(112\) | 0.955091 | + | 1.23344i | 0.0902476 | + | 0.116549i | ||||
\(113\) | −7.28057 | − | 7.28057i | −0.684898 | − | 0.684898i | 0.276202 | − | 0.961100i | \(-0.410924\pi\) |
−0.961100 | + | 0.276202i | \(0.910924\pi\) | |||||||
\(114\) | 5.19653 | − | 4.87782i | 0.486700 | − | 0.456849i | ||||
\(115\) | 1.70145 | − | 8.43267i | 0.158661 | − | 0.786351i | ||||
\(116\) | 0.922075 | − | 14.5583i | 0.0856125 | − | 1.35171i | ||||
\(117\) | 1.53626 | − | 1.53626i | 0.142027 | − | 0.142027i | ||||
\(118\) | −17.3998 | − | 0.550470i | −1.60178 | − | 0.0506749i | ||||
\(119\) | −2.53557 | −0.232435 | ||||||||
\(120\) | −4.16792 | + | 13.7671i | −0.380478 | + | 1.25676i | ||||
\(121\) | 10.3240 | 0.938549 | ||||||||
\(122\) | 2.52812 | + | 0.0799810i | 0.228885 | + | 0.00724114i | ||||
\(123\) | −1.65144 | + | 1.65144i | −0.148905 | + | 0.148905i | ||||
\(124\) | 1.18240 | − | 18.6685i | 0.106183 | − | 1.67648i | ||||
\(125\) | −2.09076 | − | 10.9831i | −0.187003 | − | 0.982359i | ||||
\(126\) | 0.873674 | − | 0.820089i | 0.0778330 | − | 0.0730593i | ||||
\(127\) | 2.64277 | + | 2.64277i | 0.234508 | + | 0.234508i | 0.814571 | − | 0.580064i | \(-0.196972\pi\) |
−0.580064 | + | 0.814571i | \(0.696972\pi\) | |||||||
\(128\) | 11.0376 | + | 2.48425i | 0.975595 | + | 0.219578i | ||||
\(129\) | − | 13.7147i | − | 1.20751i | ||||||
\(130\) | 3.07848 | + | 0.723151i | 0.270001 | + | 0.0634245i | ||||
\(131\) | 14.9688i | 1.30783i | 0.756567 | + | 0.653916i | \(0.226875\pi\) | ||||
−0.756567 | + | 0.653916i | \(0.773125\pi\) | |||||||
\(132\) | −2.47198 | − | 2.80629i | −0.215158 | − | 0.244256i | ||||
\(133\) | −0.611078 | − | 0.611078i | −0.0529871 | − | 0.0529871i | ||||
\(134\) | −9.64469 | − | 10.2749i | −0.833174 | − | 0.887614i | ||||
\(135\) | −4.12471 | − | 0.832238i | −0.354998 | − | 0.0716276i | ||||
\(136\) | −14.1764 | + | 11.7127i | −1.21562 | + | 1.00435i | ||||
\(137\) | 0.764404 | − | 0.764404i | 0.0653075 | − | 0.0653075i | −0.673699 | − | 0.739006i | \(-0.735295\pi\) |
0.739006 | + | 0.673699i | \(0.235295\pi\) | |||||||
\(138\) | −0.391279 | + | 12.3679i | −0.0333079 | + | 1.05283i | ||||
\(139\) | 18.3089 | 1.55294 | 0.776469 | − | 0.630156i | \(-0.217009\pi\) | ||||
0.776469 | + | 0.630156i | \(0.217009\pi\) | |||||||
\(140\) | 1.68444 | + | 0.452336i | 0.142361 | + | 0.0382293i | ||||
\(141\) | −10.1648 | −0.856034 | ||||||||
\(142\) | −0.166037 | + | 5.24826i | −0.0139335 | + | 0.440425i | ||||
\(143\) | −0.581362 | + | 0.581362i | −0.0486159 | + | 0.0486159i | ||||
\(144\) | 1.09644 | − | 8.62093i | 0.0913699 | − | 0.718411i | ||||
\(145\) | −9.02370 | − | 13.5855i | −0.749377 | − | 1.12822i | ||||
\(146\) | 0.172676 | + | 0.183959i | 0.0142908 | + | 0.0152245i | ||||
\(147\) | 11.0128 | + | 11.0128i | 0.908318 | + | 0.908318i | ||||
\(148\) | −9.11925 | + | 8.03289i | −0.749598 | + | 0.660300i | ||||
\(149\) | − | 1.16451i | − | 0.0954004i | −0.998862 | − | 0.0477002i | \(-0.984811\pi\) | ||
0.998862 | − | 0.0477002i | \(-0.0151892\pi\) | |||||||
\(150\) | 5.59869 | + | 15.0760i | 0.457131 | + | 1.23095i | ||||
\(151\) | − | 1.00865i | − | 0.0820831i | −0.999157 | − | 0.0410416i | \(-0.986932\pi\) | ||
0.999157 | − | 0.0410416i | \(-0.0130676\pi\) | |||||||
\(152\) | −6.23932 | − | 0.593758i | −0.506076 | − | 0.0481601i | ||||
\(153\) | 9.98798 | + | 9.98798i | 0.807481 | + | 0.807481i | ||||
\(154\) | −0.330622 | + | 0.310344i | −0.0266423 | + | 0.0250083i | ||||
\(155\) | −11.5713 | − | 17.4211i | −0.929429 | − | 1.39929i | ||||
\(156\) | −4.53957 | − | 0.287521i | −0.363457 | − | 0.0230201i | ||||
\(157\) | −13.9094 | + | 13.9094i | −1.11009 | + | 1.11009i | −0.116953 | + | 0.993138i | \(0.537313\pi\) |
−0.993138 | + | 0.116953i | \(0.962687\pi\) | |||||||
\(158\) | 12.6892 | + | 0.401443i | 1.00950 | + | 0.0319371i | ||||
\(159\) | −1.97849 | −0.156905 | ||||||||
\(160\) | 11.5072 | − | 5.25202i | 0.909726 | − | 0.415209i | ||||
\(161\) | 1.50040 | 0.118248 | ||||||||
\(162\) | 15.2625 | + | 0.482854i | 1.19914 | + | 0.0379366i | ||||
\(163\) | 15.4779 | − | 15.4779i | 1.21232 | − | 1.21232i | 0.242065 | − | 0.970260i | \(-0.422175\pi\) |
0.970260 | − | 0.242065i | \(-0.0778246\pi\) | |||||||
\(164\) | 2.04967 | + | 0.129819i | 0.160052 | + | 0.0101372i | ||||
\(165\) | −4.09860 | − | 0.826971i | −0.319076 | − | 0.0643796i | ||||
\(166\) | −4.44469 | + | 4.17209i | −0.344975 | + | 0.323817i | ||||
\(167\) | 13.0603 | + | 13.0603i | 1.01064 | + | 1.01064i | 0.999943 | + | 0.0106938i | \(0.00340399\pi\) |
0.0106938 | + | 0.999943i | \(0.496596\pi\) | |||||||
\(168\) | −2.49748 | − | 0.237670i | −0.192685 | − | 0.0183367i | ||||
\(169\) | 1.00000i | 0.0769231i | ||||||||
\(170\) | −4.70157 | + | 20.0148i | −0.360594 | + | 1.53506i | ||||
\(171\) | 4.81425i | 0.368155i | ||||||||
\(172\) | −9.04999 | + | 7.97189i | −0.690055 | + | 0.607851i | ||||
\(173\) | −1.88337 | − | 1.88337i | −0.143190 | − | 0.143190i | 0.631878 | − | 0.775068i | \(-0.282284\pi\) |
−0.775068 | + | 0.631878i | \(0.782284\pi\) | |||||||
\(174\) | 16.0556 | + | 17.1047i | 1.21717 | + | 1.29670i | ||||
\(175\) | 1.80562 | − | 0.736320i | 0.136492 | − | 0.0556606i | ||||
\(176\) | −0.414923 | + | 3.26240i | −0.0312760 | + | 0.245913i | ||||
\(177\) | 19.7964 | − | 19.7964i | 1.48799 | − | 1.48799i | ||||
\(178\) | −0.562192 | + | 17.7703i | −0.0421380 | + | 1.33194i | ||||
\(179\) | −3.78420 | −0.282845 | −0.141422 | − | 0.989949i | \(-0.545168\pi\) | ||||
−0.141422 | + | 0.989949i | \(0.545168\pi\) | |||||||
\(180\) | −4.85345 | − | 8.41708i | −0.361755 | − | 0.627372i | ||||
\(181\) | 14.3395 | 1.06585 | 0.532923 | − | 0.846164i | \(-0.321094\pi\) | ||||
0.532923 | + | 0.846164i | \(0.321094\pi\) | |||||||
\(182\) | −0.0174401 | + | 0.551263i | −0.00129275 | + | 0.0408624i | ||||
\(183\) | −2.87633 | + | 2.87633i | −0.212624 | + | 0.212624i | ||||
\(184\) | 8.38874 | − | 6.93086i | 0.618426 | − | 0.510950i | ||||
\(185\) | −2.68731 | + | 13.3187i | −0.197575 | + | 0.979212i | ||||
\(186\) | 20.5885 | + | 21.9337i | 1.50962 | + | 1.60826i | ||||
\(187\) | −3.77973 | − | 3.77973i | −0.276401 | − | 0.276401i | ||||
\(188\) | 5.90848 | + | 6.70753i | 0.430920 | + | 0.489197i | ||||
\(189\) | − | 0.733896i | − | 0.0533831i | ||||||
\(190\) | −5.95669 | + | 3.69052i | −0.432144 | + | 0.267738i | ||||
\(191\) | − | 3.78197i | − | 0.273654i | −0.990595 | − | 0.136827i | \(-0.956310\pi\) | ||
0.990595 | − | 0.136827i | \(-0.0436904\pi\) | |||||||
\(192\) | −15.0613 | + | 10.2079i | −1.08696 | + | 0.736695i | ||||
\(193\) | 3.49821 | + | 3.49821i | 0.251807 | + | 0.251807i | 0.821711 | − | 0.569904i | \(-0.193020\pi\) |
−0.569904 | + | 0.821711i | \(0.693020\pi\) | |||||||
\(194\) | −4.89187 | + | 4.59184i | −0.351216 | + | 0.329675i | ||||
\(195\) | −4.23624 | + | 2.81376i | −0.303363 | + | 0.201498i | ||||
\(196\) | 0.865711 | − | 13.6684i | 0.0618365 | − | 0.976315i | ||||
\(197\) | −16.9407 | + | 16.9407i | −1.20698 | + | 1.20698i | −0.234977 | + | 0.972001i | \(0.575501\pi\) |
−0.972001 | + | 0.234977i | \(0.924499\pi\) | |||||||
\(198\) | 2.52486 | + | 0.0798781i | 0.179434 | + | 0.00567669i | ||||
\(199\) | −25.9852 | −1.84204 | −0.921020 | − | 0.389515i | \(-0.872643\pi\) | ||||
−0.921020 | + | 0.389515i | \(0.872643\pi\) | |||||||
\(200\) | 6.69393 | − | 12.4576i | 0.473332 | − | 0.880884i | ||||
\(201\) | 22.6632 | 1.59854 | ||||||||
\(202\) | −25.6190 | − | 0.810498i | −1.80255 | − | 0.0570264i | ||||
\(203\) | 2.01139 | − | 2.01139i | 0.141172 | − | 0.141172i | ||||
\(204\) | 1.86932 | − | 29.5141i | 0.130879 | − | 2.06640i | ||||
\(205\) | 1.91271 | − | 1.27045i | 0.133589 | − | 0.0887319i | ||||
\(206\) | 12.2994 | − | 11.5451i | 0.856941 | − | 0.804382i | ||||
\(207\) | −5.91029 | − | 5.91029i | −0.410793 | − | 0.410793i | ||||
\(208\) | 2.44897 | + | 3.16268i | 0.169806 | + | 0.219292i | ||||
\(209\) | − | 1.82185i | − | 0.126020i | ||||||
\(210\) | −2.38435 | + | 1.47724i | −0.164536 | + | 0.101940i | ||||
\(211\) | − | 5.58430i | − | 0.384439i | −0.981352 | − | 0.192219i | \(-0.938431\pi\) | ||
0.981352 | − | 0.192219i | \(-0.0615685\pi\) | |||||||
\(212\) | 1.15003 | + | 1.30556i | 0.0789845 | + | 0.0896662i | ||||
\(213\) | −5.97114 | − | 5.97114i | −0.409136 | − | 0.409136i | ||||
\(214\) | 13.8549 | + | 14.7602i | 0.947103 | + | 1.00899i | ||||
\(215\) | −2.66690 | + | 13.2176i | −0.181881 | + | 0.901431i | ||||
\(216\) | −3.39012 | − | 4.10322i | −0.230669 | − | 0.279189i | ||||
\(217\) | 2.57926 | − | 2.57926i | 0.175091 | − | 0.175091i | ||||
\(218\) | −0.269433 | + | 8.51650i | −0.0182483 | + | 0.576810i | ||||
\(219\) | −0.405756 | −0.0274185 | ||||||||
\(220\) | 1.83668 | + | 3.18526i | 0.123829 | + | 0.214750i | ||||
\(221\) | −6.50151 | −0.437339 | ||||||||
\(222\) | 0.617994 | − | 19.5342i | 0.0414771 | − | 1.31105i | ||||
\(223\) | 3.41426 | − | 3.41426i | 0.228636 | − | 0.228636i | −0.583487 | − | 0.812122i | \(-0.698312\pi\) |
0.812122 | + | 0.583487i | \(0.198312\pi\) | |||||||
\(224\) | 1.29487 | + | 1.78618i | 0.0865172 | + | 0.119344i | ||||
\(225\) | −10.0131 | − | 4.21214i | −0.667539 | − | 0.280809i | ||||
\(226\) | −9.96555 | − | 10.6167i | −0.662899 | − | 0.706213i | ||||
\(227\) | −9.31565 | − | 9.31565i | −0.618301 | − | 0.618301i | 0.326794 | − | 0.945096i | \(-0.394032\pi\) |
−0.945096 | + | 0.326794i | \(0.894032\pi\) | |||||||
\(228\) | 7.56346 | − | 6.66244i | 0.500903 | − | 0.441231i | ||||
\(229\) | − | 14.3456i | − | 0.947986i | −0.880529 | − | 0.473993i | \(-0.842812\pi\) | ||
0.880529 | − | 0.473993i | \(-0.157188\pi\) | |||||||
\(230\) | 2.78211 | − | 11.8435i | 0.183447 | − | 0.780940i | ||||
\(231\) | − | 0.729251i | − | 0.0479812i | ||||||
\(232\) | 1.95439 | − | 20.5371i | 0.128312 | − | 1.34832i | ||||
\(233\) | −1.74686 | − | 1.74686i | −0.114440 | − | 0.114440i | 0.647568 | − | 0.762008i | \(-0.275786\pi\) |
−0.762008 | + | 0.647568i | \(0.775786\pi\) | |||||||
\(234\) | 2.24021 | − | 2.10281i | 0.146447 | − | 0.137465i | ||||
\(235\) | 9.79640 | + | 1.97661i | 0.639047 | + | 0.128940i | ||||
\(236\) | −24.5701 | − | 1.55619i | −1.59938 | − | 0.101299i | ||||
\(237\) | −14.4370 | + | 14.4370i | −0.937782 | + | 0.937782i | ||||
\(238\) | −3.58404 | − | 0.113387i | −0.232319 | − | 0.00734979i | ||||
\(239\) | −4.56207 | −0.295096 | −0.147548 | − | 0.989055i | \(-0.547138\pi\) | ||||
−0.147548 | + | 0.989055i | \(0.547138\pi\) | |||||||
\(240\) | −6.50703 | + | 19.2735i | −0.420027 | + | 1.24410i | ||||
\(241\) | 21.2829 | 1.37095 | 0.685475 | − | 0.728096i | \(-0.259595\pi\) | ||||
0.685475 | + | 0.728096i | \(0.259595\pi\) | |||||||
\(242\) | 14.5931 | + | 0.461676i | 0.938079 | + | 0.0296776i | ||||
\(243\) | −13.3728 | + | 13.3728i | −0.857865 | + | 0.857865i | ||||
\(244\) | 3.56993 | + | 0.226107i | 0.228542 | + | 0.0144750i | ||||
\(245\) | −8.47210 | − | 12.7551i | −0.541263 | − | 0.814893i | ||||
\(246\) | −2.40817 | + | 2.26047i | −0.153539 | + | 0.144122i | ||||
\(247\) | −1.56688 | − | 1.56688i | −0.0996980 | − | 0.0996980i | ||||
\(248\) | 2.50616 | − | 26.3352i | 0.159141 | − | 1.67228i | ||||
\(249\) | − | 9.80362i | − | 0.621279i | ||||||
\(250\) | −2.46415 | − | 15.6182i | −0.155847 | − | 0.987781i | ||||
\(251\) | 25.3663i | 1.60111i | 0.599263 | + | 0.800553i | \(0.295461\pi\) | ||||
−0.599263 | + | 0.800553i | \(0.704539\pi\) | |||||||
\(252\) | 1.27162 | − | 1.12013i | 0.0801043 | − | 0.0705616i | ||||
\(253\) | 2.23662 | + | 2.23662i | 0.140615 | + | 0.140615i | ||||
\(254\) | 3.61739 | + | 3.85375i | 0.226975 | + | 0.241806i | ||||
\(255\) | −18.2937 | − | 27.5419i | −1.14560 | − | 1.72474i | ||||
\(256\) | 15.4906 | + | 4.00508i | 0.968164 | + | 0.250318i | ||||
\(257\) | 2.82314 | − | 2.82314i | 0.176103 | − | 0.176103i | −0.613552 | − | 0.789655i | \(-0.710260\pi\) |
0.789655 | + | 0.613552i | \(0.210260\pi\) | |||||||
\(258\) | 0.613301 | − | 19.3858i | 0.0381824 | − | 1.20691i | ||||
\(259\) | −2.36976 | −0.147250 | ||||||||
\(260\) | 4.31912 | + | 1.15984i | 0.267860 | + | 0.0719305i | ||||
\(261\) | −15.8464 | −0.980865 | ||||||||
\(262\) | −0.669383 | + | 21.1585i | −0.0413546 | + | 1.30718i | ||||
\(263\) | −9.48595 | + | 9.48595i | −0.584929 | + | 0.584929i | −0.936254 | − | 0.351325i | \(-0.885731\pi\) |
0.351325 | + | 0.936254i | \(0.385731\pi\) | |||||||
\(264\) | −3.36867 | − | 4.07725i | −0.207327 | − | 0.250937i | ||||
\(265\) | 1.90678 | + | 0.384729i | 0.117133 | + | 0.0236337i | ||||
\(266\) | −0.836436 | − | 0.891089i | −0.0512852 | − | 0.0546361i | ||||
\(267\) | −20.2179 | − | 20.2179i | −1.23732 | − | 1.23732i | ||||
\(268\) | −13.1734 | − | 14.9549i | −0.804691 | − | 0.913516i | ||||
\(269\) | 28.8302i | 1.75781i | 0.477000 | + | 0.878904i | \(0.341724\pi\) | ||||
−0.477000 | + | 0.878904i | \(0.658276\pi\) | |||||||
\(270\) | −5.79308 | − | 1.36082i | −0.352556 | − | 0.0828171i | ||||
\(271\) | 9.17157i | 0.557133i | 0.960417 | + | 0.278567i | \(0.0898593\pi\) | ||||
−0.960417 | + | 0.278567i | \(0.910141\pi\) | |||||||
\(272\) | −20.5622 | + | 15.9220i | −1.24677 | + | 0.965414i | ||||
\(273\) | −0.627192 | − | 0.627192i | −0.0379594 | − | 0.0379594i | ||||
\(274\) | 1.11467 | − | 1.04631i | 0.0673399 | − | 0.0632097i | ||||
\(275\) | 3.78923 | + | 1.59399i | 0.228499 | + | 0.0961213i | ||||
\(276\) | −1.10615 | + | 17.4647i | −0.0665825 | + | 1.05125i | ||||
\(277\) | 18.5053 | − | 18.5053i | 1.11188 | − | 1.11188i | 0.118979 | − | 0.992897i | \(-0.462038\pi\) |
0.992897 | − | 0.118979i | \(-0.0379622\pi\) | |||||||
\(278\) | 25.8797 | + | 0.818746i | 1.55216 | + | 0.0491051i | ||||
\(279\) | −20.3202 | −1.21654 | ||||||||
\(280\) | 2.36074 | + | 0.714705i | 0.141081 | + | 0.0427118i | ||||
\(281\) | 18.8811 | 1.12635 | 0.563176 | − | 0.826337i | \(-0.309579\pi\) | ||||
0.563176 | + | 0.826337i | \(0.309579\pi\) | |||||||
\(282\) | −14.3681 | − | 0.454557i | −0.855606 | − | 0.0270685i | ||||
\(283\) | 4.66224 | − | 4.66224i | 0.277141 | − | 0.277141i | −0.554826 | − | 0.831967i | \(-0.687215\pi\) |
0.831967 | + | 0.554826i | \(0.187215\pi\) | |||||||
\(284\) | −0.469389 | + | 7.41103i | −0.0278531 | + | 0.439764i | ||||
\(285\) | 2.22884 | − | 11.0465i | 0.132025 | − | 0.654337i | ||||
\(286\) | −0.847756 | + | 0.795761i | −0.0501289 | + | 0.0470543i | ||||
\(287\) | 0.283184 | + | 0.283184i | 0.0167158 | + | 0.0167158i | ||||
\(288\) | 1.93534 | − | 12.1367i | 0.114041 | − | 0.715162i | ||||
\(289\) | − | 25.2696i | − | 1.48645i | ||||||
\(290\) | −12.1475 | − | 19.6068i | −0.713327 | − | 1.15135i | ||||
\(291\) | − | 10.7900i | − | 0.632518i | ||||||
\(292\) | 0.235852 | + | 0.267749i | 0.0138022 | + | 0.0156688i | ||||
\(293\) | −21.2736 | − | 21.2736i | −1.24282 | − | 1.24282i | −0.958827 | − | 0.283992i | \(-0.908341\pi\) |
−0.283992 | − | 0.958827i | \(-0.591659\pi\) | |||||||
\(294\) | 15.0742 | + | 16.0591i | 0.879142 | + | 0.936586i | ||||
\(295\) | −22.9283 | + | 15.2293i | −1.33494 | + | 0.886684i | ||||
\(296\) | −13.2493 | + | 10.9467i | −0.770102 | + | 0.636267i | ||||
\(297\) | 1.09401 | − | 1.09401i | 0.0634807 | − | 0.0634807i | ||||
\(298\) | 0.0520752 | − | 1.64604i | 0.00301664 | − | 0.0953527i | ||||
\(299\) | 3.84720 | 0.222490 | ||||||||
\(300\) | 7.23960 | + | 21.5603i | 0.417979 | + | 1.24479i | ||||
\(301\) | −2.35176 | −0.135553 | ||||||||
\(302\) | 0.0451056 | − | 1.42574i | 0.00259553 | − | 0.0820421i | ||||
\(303\) | 29.1476 | − | 29.1476i | 1.67449 | − | 1.67449i | ||||
\(304\) | −8.79277 | − | 1.11829i | −0.504300 | − | 0.0641386i | ||||
\(305\) | 3.33139 | − | 2.21275i | 0.190755 | − | 0.126702i | ||||
\(306\) | 13.6714 | + | 14.5647i | 0.781544 | + | 0.832610i | ||||
\(307\) | −19.0807 | − | 19.0807i | −1.08899 | − | 1.08899i | −0.995632 | − | 0.0933621i | \(-0.970239\pi\) |
−0.0933621 | − | 0.995632i | \(-0.529761\pi\) | |||||||
\(308\) | −0.481215 | + | 0.423889i | −0.0274198 | + | 0.0241533i | ||||
\(309\) | 27.1287i | 1.54330i | ||||||||
\(310\) | −15.5771 | − | 25.1422i | −0.884718 | − | 1.42798i | ||||
\(311\) | 10.3602i | 0.587475i | 0.955886 | + | 0.293738i | \(0.0948992\pi\) | ||||
−0.955886 | + | 0.293738i | \(0.905101\pi\) | |||||||
\(312\) | −6.40386 | − | 0.609416i | −0.362547 | − | 0.0345014i | ||||
\(313\) | 5.32726 | + | 5.32726i | 0.301114 | + | 0.301114i | 0.841450 | − | 0.540335i | \(-0.181703\pi\) |
−0.540335 | + | 0.841450i | \(0.681703\pi\) | |||||||
\(314\) | −20.2830 | + | 19.0390i | −1.14464 | + | 1.07443i | ||||
\(315\) | 0.374726 | − | 1.85720i | 0.0211134 | − | 0.104642i | ||||
\(316\) | 17.9183 | + | 1.13489i | 1.00798 | + | 0.0638423i | ||||
\(317\) | 12.8622 | − | 12.8622i | 0.722415 | − | 0.722415i | −0.246681 | − | 0.969097i | \(-0.579340\pi\) |
0.969097 | + | 0.246681i | \(0.0793401\pi\) | |||||||
\(318\) | −2.79661 | − | 0.0884753i | −0.156826 | − | 0.00496145i | ||||
\(319\) | 5.99670 | 0.335751 | ||||||||
\(320\) | 16.5004 | − | 6.90918i | 0.922401 | − | 0.386235i | ||||
\(321\) | −32.5564 | −1.81712 | ||||||||
\(322\) | 2.12082 | + | 0.0670956i | 0.118189 | + | 0.00373909i | ||||
\(323\) | 10.1871 | − | 10.1871i | 0.566824 | − | 0.566824i | ||||
\(324\) | 21.5521 | + | 1.36503i | 1.19734 | + | 0.0758352i | ||||
\(325\) | 4.62984 | − | 1.88802i | 0.256817 | − | 0.104728i | ||||
\(326\) | 22.5703 | − | 21.1860i | 1.25005 | − | 1.17338i | ||||
\(327\) | −9.68953 | − | 9.68953i | −0.535832 | − | 0.535832i | ||||
\(328\) | 2.89142 | + | 0.275158i | 0.159652 | + | 0.0151931i | ||||
\(329\) | 1.74304i | 0.0960970i | ||||||||
\(330\) | −5.75642 | − | 1.35221i | −0.316880 | − | 0.0744368i | ||||
\(331\) | 20.1455i | 1.10729i | 0.832751 | + | 0.553647i | \(0.186764\pi\) | ||||
−0.832751 | + | 0.553647i | \(0.813236\pi\) | |||||||
\(332\) | −6.46917 | + | 5.69851i | −0.355042 | + | 0.312746i | ||||
\(333\) | 9.33483 | + | 9.33483i | 0.511545 | + | 0.511545i | ||||
\(334\) | 17.8768 | + | 19.0449i | 0.978174 | + | 1.04209i | ||||
\(335\) | −21.8417 | − | 4.40698i | −1.19334 | − | 0.240779i | ||||
\(336\) | −3.51958 | − | 0.447632i | −0.192009 | − | 0.0244203i | ||||
\(337\) | −7.26448 | + | 7.26448i | −0.395721 | + | 0.395721i | −0.876721 | − | 0.480999i | \(-0.840274\pi\) |
0.480999 | + | 0.876721i | \(0.340274\pi\) | |||||||
\(338\) | −0.0447185 | + | 1.41351i | −0.00243237 | + | 0.0768846i | ||||
\(339\) | 23.4172 | 1.27185 | ||||||||
\(340\) | −7.54074 | + | 28.0808i | −0.408954 | + | 1.52289i | ||||
\(341\) | 7.68971 | 0.416421 | ||||||||
\(342\) | −0.215286 | + | 6.80497i | −0.0116413 | + | 0.367971i | ||||
\(343\) | 3.81883 | − | 3.81883i | 0.206197 | − | 0.206197i | ||||
\(344\) | −13.1487 | + | 10.8636i | −0.708931 | + | 0.585726i | ||||
\(345\) | 10.8251 | + | 16.2977i | 0.582805 | + | 0.877437i | ||||
\(346\) | −2.57793 | − | 2.74638i | −0.138591 | − | 0.147646i | ||||
\(347\) | 21.0494 | + | 21.0494i | 1.12999 | + | 1.12999i | 0.990178 | + | 0.139816i | \(0.0446510\pi\) |
0.139816 | + | 0.990178i | \(0.455349\pi\) | |||||||
\(348\) | 21.9298 | + | 24.8955i | 1.17556 | + | 1.33454i | ||||
\(349\) | 11.8903i | 0.636472i | 0.948011 | + | 0.318236i | \(0.103090\pi\) | ||||
−0.948011 | + | 0.318236i | \(0.896910\pi\) | |||||||
\(350\) | 2.58519 | − | 0.960049i | 0.138184 | − | 0.0513168i | ||||
\(351\) | − | 1.88180i | − | 0.100443i | ||||||
\(352\) | −0.732386 | + | 4.59287i | −0.0390363 | + | 0.244801i | ||||
\(353\) | −8.06460 | − | 8.06460i | −0.429235 | − | 0.429235i | 0.459132 | − | 0.888368i | \(-0.348160\pi\) |
−0.888368 | + | 0.459132i | \(0.848160\pi\) | |||||||
\(354\) | 28.8675 | − | 27.0970i | 1.53429 | − | 1.44019i | ||||
\(355\) | 4.59358 | + | 6.91582i | 0.243802 | + | 0.367054i | ||||
\(356\) | −1.58932 | + | 25.0933i | −0.0842340 | + | 1.32994i | ||||
\(357\) | 4.07770 | − | 4.07770i | 0.215815 | − | 0.215815i | ||||
\(358\) | −5.34899 | − | 0.169224i | −0.282703 | − | 0.00894376i | ||||
\(359\) | 5.29931 | 0.279687 | 0.139843 | − | 0.990174i | \(-0.455340\pi\) | ||||
0.139843 | + | 0.990174i | \(0.455340\pi\) | |||||||
\(360\) | −6.48398 | − | 12.1146i | −0.341736 | − | 0.638497i | ||||
\(361\) | −14.0898 | −0.741568 | ||||||||
\(362\) | 20.2690 | + | 0.641241i | 1.06531 | + | 0.0337029i | ||||
\(363\) | −16.6031 | + | 16.6031i | −0.871436 | + | 0.871436i | ||||
\(364\) | −0.0493034 | + | 0.778434i | −0.00258420 | + | 0.0408010i | ||||
\(365\) | 0.391049 | + | 0.0789015i | 0.0204684 | + | 0.00412989i | ||||
\(366\) | −4.19434 | + | 3.93709i | −0.219241 | + | 0.205795i | ||||
\(367\) | −1.07021 | − | 1.07021i | −0.0558647 | − | 0.0558647i | 0.678623 | − | 0.734487i | \(-0.262577\pi\) |
−0.734487 | + | 0.678623i | \(0.762577\pi\) | |||||||
\(368\) | 12.1675 | − | 9.42169i | 0.634273 | − | 0.491139i | ||||
\(369\) | − | 2.23101i | − | 0.116142i | ||||||
\(370\) | −4.39412 | + | 18.7059i | −0.228439 | + | 0.972475i | ||||
\(371\) | 0.339267i | 0.0176139i | ||||||||
\(372\) | 28.1211 | + | 31.9241i | 1.45801 | + | 1.65519i | ||||
\(373\) | 4.61033 | + | 4.61033i | 0.238714 | + | 0.238714i | 0.816317 | − | 0.577603i | \(-0.196012\pi\) |
−0.577603 | + | 0.816317i | \(0.696012\pi\) | |||||||
\(374\) | −5.17365 | − | 5.51170i | −0.267523 | − | 0.285003i | ||||
\(375\) | 21.0254 | + | 14.3007i | 1.08574 | + | 0.738483i | ||||
\(376\) | 8.05172 | + | 9.74536i | 0.415236 | + | 0.502579i | ||||
\(377\) | 5.15746 | − | 5.15746i | 0.265623 | − | 0.265623i | ||||
\(378\) | 0.0328187 | − | 1.03737i | 0.00168801 | − | 0.0533564i | ||||
\(379\) | 25.6874 | 1.31947 | 0.659736 | − | 0.751497i | \(-0.270668\pi\) | ||||
0.659736 | + | 0.751497i | \(0.270668\pi\) | |||||||
\(380\) | −8.58486 | + | 4.95019i | −0.440394 | + | 0.253940i | ||||
\(381\) | −8.50018 | −0.435477 | ||||||||
\(382\) | 0.169124 | − | 5.34584i | 0.00865315 | − | 0.273517i | ||||
\(383\) | −7.08294 | + | 7.08294i | −0.361921 | + | 0.361921i | −0.864520 | − | 0.502599i | \(-0.832377\pi\) |
0.502599 | + | 0.864520i | \(0.332377\pi\) | |||||||
\(384\) | −21.7458 | + | 13.7555i | −1.10971 | + | 0.701956i | ||||
\(385\) | −0.141807 | + | 0.702818i | −0.00722715 | + | 0.0358189i | ||||
\(386\) | 4.78831 | + | 5.10118i | 0.243719 | + | 0.259643i | ||||
\(387\) | 9.26393 | + | 9.26393i | 0.470912 | + | 0.470912i | ||||
\(388\) | −7.12003 | + | 6.27183i | −0.361465 | + | 0.318404i | ||||
\(389\) | 12.1615i | 0.616610i | 0.951288 | + | 0.308305i | \(0.0997618\pi\) | ||||
−0.951288 | + | 0.308305i | \(0.900238\pi\) | |||||||
\(390\) | −6.11377 | + | 3.78784i | −0.309583 | + | 0.191805i | ||||
\(391\) | 25.0126i | 1.26494i | ||||||||
\(392\) | 1.83492 | − | 19.2817i | 0.0926774 | − | 0.973872i | ||||
\(393\) | −24.0728 | − | 24.0728i | −1.21431 | − | 1.21431i | ||||
\(394\) | −24.7034 | + | 23.1883i | −1.24454 | + | 1.16821i | ||||
\(395\) | 16.7210 | − | 11.1063i | 0.841326 | − | 0.558820i | ||||
\(396\) | 3.56534 | + | 0.225816i | 0.179165 | + | 0.0113477i | ||||
\(397\) | 16.9963 | − | 16.9963i | 0.853018 | − | 0.853018i | −0.137486 | − | 0.990504i | \(-0.543902\pi\) |
0.990504 | + | 0.137486i | \(0.0439022\pi\) | |||||||
\(398\) | −36.7302 | − | 1.16202i | −1.84112 | − | 0.0582468i | ||||
\(399\) | 1.96547 | 0.0983964 | ||||||||
\(400\) | 10.0190 | − | 17.3095i | 0.500950 | − | 0.865476i | ||||
\(401\) | −10.9375 | −0.546191 | −0.273095 | − | 0.961987i | \(-0.588047\pi\) | ||||
−0.273095 | + | 0.961987i | \(0.588047\pi\) | |||||||
\(402\) | 32.0346 | + | 1.01347i | 1.59774 | + | 0.0505471i | ||||
\(403\) | 6.61353 | − | 6.61353i | 0.329444 | − | 0.329444i | ||||
\(404\) | −36.1764 | − | 2.29129i | −1.79984 | − | 0.113996i | ||||
\(405\) | 20.1119 | − | 13.3586i | 0.999370 | − | 0.663795i | ||||
\(406\) | 2.93307 | − | 2.75317i | 0.145566 | − | 0.136638i | ||||
\(407\) | −3.53256 | − | 3.53256i | −0.175102 | − | 0.175102i | ||||
\(408\) | 3.96212 | − | 41.6347i | 0.196154 | − | 2.06123i | ||||
\(409\) | − | 27.4799i | − | 1.35879i | −0.733771 | − | 0.679397i | \(-0.762241\pi\) | ||
0.733771 | − | 0.679397i | \(-0.237759\pi\) | |||||||
\(410\) | 2.76044 | − | 1.71025i | 0.136328 | − | 0.0844633i | ||||
\(411\) | 2.45863i | 0.121275i | ||||||||
\(412\) | 17.9016 | − | 15.7690i | 0.881947 | − | 0.776883i | ||||
\(413\) | −3.39463 | − | 3.39463i | −0.167039 | − | 0.167039i | ||||
\(414\) | −8.08993 | − | 8.61853i | −0.397598 | − | 0.423578i | ||||
\(415\) | −1.90637 | + | 9.44827i | −0.0935799 | + | 0.463797i | ||||
\(416\) | 3.32021 | + | 4.57998i | 0.162786 | + | 0.224552i | ||||
\(417\) | −29.4443 | + | 29.4443i | −1.44189 | + | 1.44189i | ||||
\(418\) | 0.0814703 | − | 2.57519i | 0.00398484 | − | 0.125957i | ||||
\(419\) | 12.6786 | 0.619391 | 0.309695 | − | 0.950836i | \(-0.399773\pi\) | ||||
0.309695 | + | 0.950836i | \(0.399773\pi\) | |||||||
\(420\) | −3.43636 | + | 1.98147i | −0.167677 | + | 0.0966858i | ||||
\(421\) | −1.77678 | −0.0865951 | −0.0432975 | − | 0.999062i | \(-0.513786\pi\) | ||||
−0.0432975 | + | 0.999062i | \(0.513786\pi\) | |||||||
\(422\) | 0.249722 | − | 7.89344i | 0.0121563 | − | 0.384247i | ||||
\(423\) | 6.86610 | − | 6.86610i | 0.333841 | − | 0.333841i | ||||
\(424\) | 1.56719 | + | 1.89685i | 0.0761097 | + | 0.0921190i | ||||
\(425\) | 12.2750 | + | 30.1009i | 0.595423 | + | 1.46011i | ||||
\(426\) | −8.17322 | − | 8.70726i | −0.395994 | − | 0.421868i | ||||
\(427\) | 0.493226 | + | 0.493226i | 0.0238689 | + | 0.0238689i | ||||
\(428\) | 18.9240 | + | 21.4832i | 0.914724 | + | 1.03843i | ||||
\(429\) | − | 1.86989i | − | 0.0902791i | ||||||
\(430\) | −4.36075 | + | 18.5639i | −0.210294 | + | 0.895229i | ||||
\(431\) | − | 10.8688i | − | 0.523529i | −0.965132 | − | 0.261765i | \(-0.915696\pi\) | ||
0.965132 | − | 0.261765i | \(-0.0843044\pi\) | |||||||
\(432\) | −4.60847 | − | 5.95153i | −0.221725 | − | 0.286343i | ||||
\(433\) | −8.66547 | − | 8.66547i | −0.416436 | − | 0.416436i | 0.467537 | − | 0.883973i | \(-0.345141\pi\) |
−0.883973 | + | 0.467537i | \(0.845141\pi\) | |||||||
\(434\) | 3.76114 | − | 3.53046i | 0.180540 | − | 0.169467i | ||||
\(435\) | 36.3601 | + | 7.33634i | 1.74333 | + | 0.351751i | ||||
\(436\) | −0.761691 | + | 12.0261i | −0.0364784 | + | 0.575945i | ||||
\(437\) | −6.02810 | + | 6.02810i | −0.288363 | + | 0.288363i | ||||
\(438\) | −0.573539 | − | 0.0181448i | −0.0274047 | − | 0.000866993i | ||||
\(439\) | 25.8681 | 1.23462 | 0.617310 | − | 0.786720i | \(-0.288223\pi\) | ||||
0.617310 | + | 0.786720i | \(0.288223\pi\) | |||||||
\(440\) | 2.45372 | + | 4.58452i | 0.116976 | + | 0.218558i | ||||
\(441\) | −14.8777 | −0.708462 | ||||||||
\(442\) | −9.18993 | − | 0.290738i | −0.437120 | − | 0.0138290i | ||||
\(443\) | −9.49162 | + | 9.49162i | −0.450961 | + | 0.450961i | −0.895673 | − | 0.444713i | \(-0.853306\pi\) |
0.444713 | + | 0.895673i | \(0.353306\pi\) | |||||||
\(444\) | 1.74708 | − | 27.5840i | 0.0829127 | − | 1.30908i | ||||
\(445\) | 15.5536 | + | 23.4165i | 0.737311 | + | 1.11005i | ||||
\(446\) | 4.97875 | − | 4.67339i | 0.235751 | − | 0.221292i | ||||
\(447\) | 1.87276 | + | 1.87276i | 0.0885786 | + | 0.0885786i | ||||
\(448\) | 1.75043 | + | 2.58268i | 0.0827001 | + | 0.122020i | ||||
\(449\) | − | 20.3525i | − | 0.960494i | −0.877133 | − | 0.480247i | \(-0.840547\pi\) | ||
0.877133 | − | 0.480247i | \(-0.159453\pi\) | |||||||
\(450\) | −13.9652 | − | 6.40166i | −0.658326 | − | 0.301777i | ||||
\(451\) | 0.844276i | 0.0397554i | ||||||||
\(452\) | −13.6116 | − | 15.4524i | −0.640236 | − | 0.726821i | ||||
\(453\) | 1.62212 | + | 1.62212i | 0.0762136 | + | 0.0762136i | ||||
\(454\) | −12.7511 | − | 13.5843i | −0.598441 | − | 0.637543i | ||||
\(455\) | 0.482497 | + | 0.726419i | 0.0226198 | + | 0.0340551i | ||||
\(456\) | 10.9889 | − | 9.07918i | 0.514604 | − | 0.425171i | ||||
\(457\) | 1.07145 | − | 1.07145i | 0.0501205 | − | 0.0501205i | −0.681602 | − | 0.731723i | \(-0.738717\pi\) |
0.731723 | + | 0.681602i | \(0.238717\pi\) | |||||||
\(458\) | 0.641516 | − | 20.2776i | 0.0299761 | − | 0.947512i | ||||
\(459\) | 12.2345 | 0.571059 | ||||||||
\(460\) | 4.46215 | − | 16.6165i | 0.208049 | − | 0.774749i | ||||
\(461\) | 24.1135 | 1.12308 | 0.561538 | − | 0.827451i | \(-0.310210\pi\) | ||||
0.561538 | + | 0.827451i | \(0.310210\pi\) | |||||||
\(462\) | 0.0326110 | − | 1.03080i | 0.00151720 | − | 0.0479572i | ||||
\(463\) | −23.5272 | + | 23.5272i | −1.09340 | + | 1.09340i | −0.0982398 | + | 0.995163i | \(0.531321\pi\) |
−0.995163 | + | 0.0982398i | \(0.968679\pi\) | |||||||
\(464\) | 3.68092 | − | 28.9419i | 0.170883 | − | 1.34359i | ||||
\(465\) | 46.6254 | + | 9.40756i | 2.16220 | + | 0.436265i | ||||
\(466\) | −2.39108 | − | 2.54731i | −0.110764 | − | 0.118002i | ||||
\(467\) | −23.9597 | − | 23.9597i | −1.10872 | − | 1.10872i | −0.993319 | − | 0.115404i | \(-0.963184\pi\) |
−0.115404 | − | 0.993319i | \(-0.536816\pi\) | |||||||
\(468\) | 3.26058 | − | 2.87215i | 0.150720 | − | 0.132765i | ||||
\(469\) | − | 3.88623i | − | 0.179449i | ||||||
\(470\) | 13.7589 | + | 3.23203i | 0.634650 | + | 0.149082i | ||||
\(471\) | − | 44.7381i | − | 2.06142i | ||||||
\(472\) | −34.6604 | − | 3.29842i | −1.59537 | − | 0.151822i | ||||
\(473\) | −3.50573 | − | 3.50573i | −0.161194 | − | 0.161194i | ||||
\(474\) | −21.0523 | + | 19.7611i | −0.966966 | + | 0.907660i | ||||
\(475\) | −4.29610 | + | 10.2127i | −0.197119 | + | 0.468590i | ||||
\(476\) | −5.06100 | − | 0.320546i | −0.231971 | − | 0.0146922i | ||||
\(477\) | 1.33642 | − | 1.33642i | 0.0611906 | − | 0.0611906i | ||||
\(478\) | −6.44851 | − | 0.204009i | −0.294948 | − | 0.00933116i | ||||
\(479\) | 0.624652 | 0.0285411 | 0.0142705 | − | 0.999898i | \(-0.495457\pi\) | ||||
0.0142705 | + | 0.999898i | \(0.495457\pi\) | |||||||
\(480\) | −10.0596 | + | 26.9522i | −0.459156 | + | 1.23019i | ||||
\(481\) | −6.07635 | −0.277058 | ||||||||
\(482\) | 30.0835 | + | 0.951739i | 1.37026 | + | 0.0433505i | ||||
\(483\) | −2.41293 | + | 2.41293i | −0.109792 | + | 0.109792i | ||||
\(484\) | 20.6068 | + | 1.30516i | 0.936672 | + | 0.0593256i | ||||
\(485\) | −2.09817 | + | 10.3988i | −0.0952728 | + | 0.472187i | ||||
\(486\) | −19.5005 | + | 18.3045i | −0.884563 | + | 0.830310i | ||||
\(487\) | −25.7445 | − | 25.7445i | −1.16659 | − | 1.16659i | −0.983003 | − | 0.183590i | \(-0.941228\pi\) |
−0.183590 | − | 0.983003i | \(-0.558772\pi\) | |||||||
\(488\) | 5.03601 | + | 0.479246i | 0.227970 | + | 0.0216945i | ||||
\(489\) | 49.7831i | 2.25127i | ||||||||
\(490\) | −11.4050 | − | 18.4083i | −0.515225 | − | 0.831600i | ||||
\(491\) | − | 9.90039i | − | 0.446798i | −0.974727 | − | 0.223399i | \(-0.928285\pi\) | ||
0.974727 | − | 0.223399i | \(-0.0717153\pi\) | |||||||
\(492\) | −3.50505 | + | 3.08750i | −0.158020 | + | 0.139195i | ||||
\(493\) | 33.5313 | + | 33.5313i | 1.51017 | + | 1.51017i | ||||
\(494\) | −2.14472 | − | 2.28486i | −0.0964956 | − | 0.102801i | ||||
\(495\) | 3.32710 | − | 2.20990i | 0.149542 | − | 0.0993278i | ||||
\(496\) | 4.72014 | − | 37.1128i | 0.211940 | − | 1.66642i | ||||
\(497\) | −1.02392 | + | 1.02392i | −0.0459289 | + | 0.0459289i | ||||
\(498\) | 0.438404 | − | 13.8575i | 0.0196453 | − | 0.620968i | ||||
\(499\) | −27.9236 | −1.25003 | −0.625017 | − | 0.780611i | \(-0.714908\pi\) | ||||
−0.625017 | + | 0.780611i | \(0.714908\pi\) | |||||||
\(500\) | −2.78467 | − | 22.1866i | −0.124534 | − | 0.992215i | ||||
\(501\) | −42.0071 | −1.87674 | ||||||||
\(502\) | −1.13434 | + | 35.8554i | −0.0506282 | + | 1.60030i | ||||
\(503\) | 8.69201 | − | 8.69201i | 0.387558 | − | 0.387558i | −0.486258 | − | 0.873815i | \(-0.661638\pi\) |
0.873815 | + | 0.486258i | \(0.161638\pi\) | |||||||
\(504\) | 1.84753 | − | 1.52645i | 0.0822955 | − | 0.0679934i | ||||
\(505\) | −33.7591 | + | 22.4232i | −1.50226 | + | 0.997820i | ||||
\(506\) | 3.06145 | + | 3.26149i | 0.136098 | + | 0.144991i | ||||
\(507\) | −1.60820 | − | 1.60820i | −0.0714225 | − | 0.0714225i | ||||
\(508\) | 4.94087 | + | 5.60906i | 0.219216 | + | 0.248862i | ||||
\(509\) | − | 18.9225i | − | 0.838726i | −0.907819 | − | 0.419363i | \(-0.862253\pi\) | ||
0.907819 | − | 0.419363i | \(-0.137747\pi\) | |||||||
\(510\) | −24.6267 | − | 39.7488i | −1.09049 | − | 1.76011i | ||||
\(511\) | 0.0695780i | 0.00307795i | ||||||||
\(512\) | 21.7170 | + | 6.35393i | 0.959764 | + | 0.280807i | ||||
\(513\) | 2.94855 | + | 2.94855i | 0.130182 | + | 0.130182i | ||||
\(514\) | 4.11678 | − | 3.86428i | 0.181583 | − | 0.170446i | ||||
\(515\) | 5.27533 | − | 26.1454i | 0.232459 | − | 1.15210i | ||||
\(516\) | 1.73381 | − | 27.3745i | 0.0763267 | − | 1.20510i | ||||
\(517\) | −2.59832 | + | 2.59832i | −0.114274 | + | 0.114274i | ||||
\(518\) | −3.34967 | − | 0.105972i | −0.147176 | − | 0.00465615i | ||||
\(519\) | 6.05766 | 0.265902 | ||||||||
\(520\) | 6.05323 | + | 1.83259i | 0.265452 | + | 0.0803644i | ||||
\(521\) | 24.7708 | 1.08523 | 0.542614 | − | 0.839982i | \(-0.317435\pi\) | ||||
0.542614 | + | 0.839982i | \(0.317435\pi\) | |||||||
\(522\) | −22.3989 | − | 0.708626i | −0.980374 | − | 0.0310157i | ||||
\(523\) | −31.9322 | + | 31.9322i | −1.39630 | + | 1.39630i | −0.585954 | + | 0.810344i | \(0.699280\pi\) |
−0.810344 | + | 0.585954i | \(0.800720\pi\) | |||||||
\(524\) | −1.89236 | + | 29.8778i | −0.0826679 | + | 1.30522i | ||||
\(525\) | −1.71965 | + | 4.08794i | −0.0750516 | + | 0.178413i | ||||
\(526\) | −13.8326 | + | 12.9842i | −0.603132 | + | 0.566140i | ||||
\(527\) | 42.9980 | + | 42.9980i | 1.87302 | + | 1.87302i | ||||
\(528\) | −4.57930 | − | 5.91386i | −0.199289 | − | 0.257368i | ||||
\(529\) | 8.19903i | 0.356479i | ||||||||
\(530\) | 2.67804 | + | 0.629085i | 0.116327 | + | 0.0273257i | ||||
\(531\) | 26.7439i | 1.16059i | ||||||||
\(532\) | −1.14246 | − | 1.29696i | −0.0495319 | − | 0.0562305i | ||||
\(533\) | 0.726120 | + | 0.726120i | 0.0314517 | + | 0.0314517i | ||||
\(534\) | −27.6740 | − | 29.4822i | −1.19757 | − | 1.27582i | ||||
\(535\) | 31.3764 | + | 6.33078i | 1.35652 | + | 0.273703i | ||||
\(536\) | −17.9519 | − | 21.7279i | −0.775402 | − | 0.938504i | ||||
\(537\) | 6.08574 | − | 6.08574i | 0.262619 | − | 0.262619i | ||||
\(538\) | −1.28924 | + | 40.7516i | −0.0555832 | + | 1.75693i | ||||
\(539\) | 5.63014 | 0.242507 | ||||||||
\(540\) | −8.12771 | − | 2.18259i | −0.349761 | − | 0.0939238i | ||||
\(541\) | −37.9058 | −1.62970 | −0.814849 | − | 0.579674i | \(-0.803180\pi\) | ||||
−0.814849 | + | 0.579674i | \(0.803180\pi\) | |||||||
\(542\) | −0.410139 | + | 12.9641i | −0.0176170 | + | 0.556855i | ||||
\(543\) | −23.0607 | + | 23.0607i | −0.989630 | + | 0.989630i | ||||
\(544\) | −29.7768 | + | 21.5864i | −1.27667 | + | 0.925507i | ||||
\(545\) | 7.45413 | + | 11.2225i | 0.319300 | + | 0.480719i | ||||
\(546\) | −0.858493 | − | 0.914587i | −0.0367401 | − | 0.0391407i | ||||
\(547\) | −12.9198 | − | 12.9198i | −0.552411 | − | 0.552411i | 0.374725 | − | 0.927136i | \(-0.377737\pi\) |
−0.927136 | + | 0.374725i | \(0.877737\pi\) | |||||||
\(548\) | 1.62239 | − | 1.42912i | 0.0693050 | − | 0.0610488i | ||||
\(549\) | − | 3.88578i | − | 0.165841i | ||||||
\(550\) | 5.28482 | + | 2.42257i | 0.225346 | + | 0.103299i | ||||
\(551\) | 16.1622i | 0.688534i | ||||||||
\(552\) | −2.34455 | + | 24.6369i | −0.0997905 | + | 1.04862i | ||||
\(553\) | 2.47562 | + | 2.47562i | 0.105274 | + | 0.105274i | ||||
\(554\) | 26.9849 | − | 25.3298i | 1.14648 | − | 1.07616i | ||||
\(555\) | −17.0974 | − | 25.7409i | −0.725745 | − | 1.09264i | ||||
\(556\) | 36.5445 | + | 2.31460i | 1.54983 | + | 0.0981611i | ||||
\(557\) | −4.01335 | + | 4.01335i | −0.170051 | + | 0.170051i | −0.787002 | − | 0.616951i | \(-0.788368\pi\) |
0.616951 | + | 0.787002i | \(0.288368\pi\) | |||||||
\(558\) | −28.7227 | − | 0.908688i | −1.21593 | − | 0.0384678i | ||||
\(559\) | −6.03020 | −0.255050 | ||||||||
\(560\) | 3.30496 | + | 1.11581i | 0.139660 | + | 0.0471515i | ||||
\(561\) | 12.1571 | 0.513273 | ||||||||
\(562\) | 26.6885 | + | 0.844335i | 1.12579 | + | 0.0356161i | ||||
\(563\) | 30.9791 | − | 30.9791i | 1.30562 | − | 1.30562i | 0.381069 | − | 0.924547i | \(-0.375556\pi\) |
0.924547 | − | 0.381069i | \(-0.124444\pi\) | |||||||
\(564\) | −20.2890 | − | 1.28504i | −0.854322 | − | 0.0541099i | ||||
\(565\) | −22.5684 | − | 4.55360i | −0.949459 | − | 0.191571i | ||||
\(566\) | 6.79859 | − | 6.38161i | 0.285766 | − | 0.268239i | ||||
\(567\) | 2.97765 | + | 2.97765i | 0.125050 | + | 0.125050i | ||||
\(568\) | −0.994895 | + | 10.4545i | −0.0417449 | + | 0.438663i | ||||
\(569\) | − | 7.46971i | − | 0.313147i | −0.987666 | − | 0.156573i | \(-0.949955\pi\) | ||
0.987666 | − | 0.156573i | \(-0.0500448\pi\) | |||||||
\(570\) | 3.64446 | − | 15.5146i | 0.152650 | − | 0.649836i | ||||
\(571\) | − | 9.11459i | − | 0.381434i | −0.981645 | − | 0.190717i | \(-0.938919\pi\) | ||
0.981645 | − | 0.190717i | \(-0.0610812\pi\) | |||||||
\(572\) | −1.23389 | + | 1.08690i | −0.0515917 | + | 0.0454457i | ||||
\(573\) | 6.08216 | + | 6.08216i | 0.254086 | + | 0.254086i | ||||
\(574\) | 0.387619 | + | 0.412947i | 0.0161789 | + | 0.0172361i | ||||
\(575\) | −7.26358 | − | 17.8119i | −0.302912 | − | 0.742809i | ||||
\(576\) | 3.27835 | − | 17.0688i | 0.136598 | − | 0.711199i | ||||
\(577\) | −6.82293 | + | 6.82293i | −0.284042 | + | 0.284042i | −0.834719 | − | 0.550676i | \(-0.814370\pi\) |
0.550676 | + | 0.834719i | \(0.314370\pi\) | |||||||
\(578\) | 1.13002 | − | 35.7188i | 0.0470027 | − | 1.48571i | ||||
\(579\) | −11.2516 | −0.467602 | ||||||||
\(580\) | −16.2938 | − | 28.2575i | −0.676564 | − | 1.17333i | ||||
\(581\) | −1.68110 | −0.0697438 | ||||||||
\(582\) | 0.482511 | − | 15.2517i | 0.0200007 | − | 0.632202i | ||||
\(583\) | −0.505740 | + | 0.505740i | −0.0209456 | + | 0.0209456i | ||||
\(584\) | 0.321405 | + | 0.389011i | 0.0132999 | + | 0.0160974i | ||||
\(585\) | 0.960844 | − | 4.76210i | 0.0397260 | − | 0.196889i | ||||
\(586\) | −29.1191 | − | 31.0217i | −1.20290 | − | 1.28150i | ||||
\(587\) | −16.5414 | − | 16.5414i | −0.682735 | − | 0.682735i | 0.277881 | − | 0.960616i | \(-0.410368\pi\) |
−0.960616 | + | 0.277881i | \(0.910368\pi\) | |||||||
\(588\) | 20.5893 | + | 23.3737i | 0.849087 | + | 0.963917i | ||||
\(589\) | 20.7252i | 0.853967i | ||||||||
\(590\) | −33.0904 | + | 20.5014i | −1.36231 | + | 0.844029i | ||||
\(591\) | − | 54.4881i | − | 2.24134i | ||||||
\(592\) | −19.2175 | + | 14.8808i | −0.789836 | + | 0.611597i | ||||
\(593\) | 9.53305 | + | 9.53305i | 0.391475 | + | 0.391475i | 0.875213 | − | 0.483738i | \(-0.160721\pi\) |
−0.483738 | + | 0.875213i | \(0.660721\pi\) | |||||||
\(594\) | 1.59531 | − | 1.49746i | 0.0654562 | − | 0.0614416i | ||||
\(595\) | −4.72282 | + | 3.13696i | −0.193617 | + | 0.128603i | ||||
\(596\) | 0.147217 | − | 2.32436i | 0.00603025 | − | 0.0952097i | ||||
\(597\) | 41.7893 | − | 41.7893i | 1.71032 | − | 1.71032i | ||||
\(598\) | 5.43805 | + | 0.172041i | 0.222378 | + | 0.00703529i | ||||
\(599\) | 23.6663 | 0.966979 | 0.483489 | − | 0.875350i | \(-0.339369\pi\) | ||||
0.483489 | + | 0.875350i | \(0.339369\pi\) | |||||||
\(600\) | 9.26908 | + | 30.7994i | 0.378409 | + | 1.25738i | ||||
\(601\) | 13.4784 | 0.549795 | 0.274897 | − | 0.961474i | \(-0.411356\pi\) | ||||
0.274897 | + | 0.961474i | \(0.411356\pi\) | |||||||
\(602\) | −3.32423 | − | 0.105167i | −0.135485 | − | 0.00428630i | ||||
\(603\) | −15.3084 | + | 15.3084i | −0.623407 | + | 0.623407i | ||||
\(604\) | 0.127514 | − | 2.01328i | 0.00518847 | − | 0.0819190i | ||||
\(605\) | 19.2298 | − | 12.7727i | 0.781804 | − | 0.519285i | ||||
\(606\) | 42.5038 | − | 39.8969i | 1.72660 | − | 1.62070i | ||||
\(607\) | −16.2073 | − | 16.2073i | −0.657834 | − | 0.657834i | 0.297033 | − | 0.954867i | \(-0.404003\pi\) |
−0.954867 | + | 0.297033i | \(0.904003\pi\) | |||||||
\(608\) | −12.3786 | − | 1.97392i | −0.502020 | − | 0.0800528i | ||||
\(609\) | 6.46944i | 0.262155i | ||||||||
\(610\) | 4.80789 | − | 2.97877i | 0.194666 | − | 0.120607i | ||||
\(611\) | 4.46937i | 0.180811i | ||||||||
\(612\) | 18.6733 | + | 21.1987i | 0.754825 | + | 0.856907i | ||||
\(613\) | −0.635203 | − | 0.635203i | −0.0256556 | − | 0.0256556i | 0.694163 | − | 0.719818i | \(-0.255775\pi\) |
−0.719818 | + | 0.694163i | \(0.755775\pi\) | |||||||
\(614\) | −26.1175 | − | 27.8240i | −1.05401 | − | 1.12288i | ||||
\(615\) | −1.03288 | + | 5.11914i | −0.0416499 | + | 0.206424i | ||||
\(616\) | −0.699156 | + | 0.577650i | −0.0281698 | + | 0.0232742i | ||||
\(617\) | −16.8468 | + | 16.8468i | −0.678227 | + | 0.678227i | −0.959599 | − | 0.281372i | \(-0.909211\pi\) |
0.281372 | + | 0.959599i | \(0.409211\pi\) | |||||||
\(618\) | −1.21316 | + | 38.3466i | −0.0488003 | + | 1.54253i | ||||
\(619\) | −5.11308 | −0.205512 | −0.102756 | − | 0.994707i | \(-0.532766\pi\) | ||||
−0.102756 | + | 0.994707i | \(0.532766\pi\) | |||||||
\(620\) | −20.8940 | − | 36.2353i | −0.839121 | − | 1.45524i | ||||
\(621\) | −7.23966 | −0.290518 | ||||||||
\(622\) | −0.463295 | + | 14.6443i | −0.0185764 | + | 0.587181i | ||||
\(623\) | −3.46691 | + | 3.46691i | −0.138899 | + | 0.138899i | ||||
\(624\) | −9.02464 | − | 1.14778i | −0.361275 | − | 0.0459481i | ||||
\(625\) | −17.4824 | − | 17.8708i | −0.699296 | − | 0.714832i | ||||
\(626\) | 7.29188 | + | 7.76834i | 0.291442 | + | 0.310485i | ||||
\(627\) | 2.92989 | + | 2.92989i | 0.117008 | + | 0.117008i | ||||
\(628\) | −29.5216 | + | 26.0047i | −1.17804 | + | 1.03770i | ||||
\(629\) | − | 39.5055i | − | 1.57519i | ||||||
\(630\) | 0.612729 | − | 2.60841i | 0.0244117 | − | 0.103922i | ||||
\(631\) | 25.4301i | 1.01236i | 0.862429 | + | 0.506178i | \(0.168942\pi\) | ||||
−0.862429 | + | 0.506178i | \(0.831058\pi\) | |||||||
\(632\) | 25.2769 | + | 2.40545i | 1.00546 | + | 0.0956837i | ||||
\(633\) | 8.98065 | + | 8.98065i | 0.356949 | + | 0.356949i | ||||
\(634\) | 18.7560 | − | 17.6057i | 0.744897 | − | 0.699211i | ||||
\(635\) | 8.19208 | + | 1.65291i | 0.325093 | + | 0.0655936i | ||||
\(636\) | −3.94907 | − | 0.250121i | −0.156591 | − | 0.00991794i | ||||
\(637\) | 4.84220 | − | 4.84220i | 0.191855 | − | 0.191855i | ||||
\(638\) | 8.47638 | + | 0.268164i | 0.335583 | + | 0.0106167i | ||||
\(639\) | 8.06671 | 0.319114 | ||||||||
\(640\) | 23.6324 | − | 9.02829i | 0.934152 | − | 0.356874i | ||||
\(641\) | −33.6710 | −1.32992 | −0.664962 | − | 0.746877i | \(-0.731552\pi\) | ||||
−0.664962 | + | 0.746877i | \(0.731552\pi\) | |||||||
\(642\) | −46.0187 | − | 1.45588i | −1.81621 | − | 0.0574589i | ||||
\(643\) | 6.67990 | − | 6.67990i | 0.263430 | − | 0.263430i | −0.563016 | − | 0.826446i | \(-0.690359\pi\) |
0.826446 | + | 0.563016i | \(0.190359\pi\) | |||||||
\(644\) | 2.99479 | + | 0.189680i | 0.118011 | + | 0.00747444i | ||||
\(645\) | −16.9676 | − | 25.5454i | −0.668097 | − | 1.00585i | ||||
\(646\) | 14.8550 | − | 13.9439i | 0.584464 | − | 0.548617i | ||||
\(647\) | 4.23583 | + | 4.23583i | 0.166528 | + | 0.166528i | 0.785451 | − | 0.618924i | \(-0.212431\pi\) |
−0.618924 | + | 0.785451i | \(0.712431\pi\) | |||||||
\(648\) | 30.4029 | + | 2.89326i | 1.19434 | + | 0.113658i | ||||
\(649\) | − | 10.1206i | − | 0.397270i | ||||||
\(650\) | 6.62873 | − | 2.46168i | 0.260000 | − | 0.0965551i | ||||
\(651\) | 8.29591i | 0.325142i | ||||||||
\(652\) | 32.8507 | − | 28.9372i | 1.28653 | − | 1.13327i | ||||
\(653\) | 15.8120 | + | 15.8120i | 0.618772 | + | 0.618772i | 0.945216 | − | 0.326444i | \(-0.105851\pi\) |
−0.326444 | + | 0.945216i | \(0.605851\pi\) | |||||||
\(654\) | −13.2629 | − | 14.1295i | −0.518621 | − | 0.552508i | ||||
\(655\) | 18.5191 | + | 27.8813i | 0.723603 | + | 1.08941i | ||||
\(656\) | 4.07473 | + | 0.518238i | 0.159091 | + | 0.0202338i | ||||
\(657\) | 0.274078 | − | 0.274078i | 0.0106928 | − | 0.0106928i | ||||
\(658\) | −0.0779463 | + | 2.46380i | −0.00303866 | + | 0.0960489i | ||||
\(659\) | −12.6866 | −0.494198 | −0.247099 | − | 0.968990i | \(-0.579477\pi\) | ||||
−0.247099 | + | 0.968990i | \(0.579477\pi\) | |||||||
\(660\) | −8.07627 | − | 2.16878i | −0.314368 | − | 0.0844196i | ||||
\(661\) | 6.64270 | 0.258371 | 0.129186 | − | 0.991620i | \(-0.458764\pi\) | ||||
0.129186 | + | 0.991620i | \(0.458764\pi\) | |||||||
\(662\) | −0.900875 | + | 28.4757i | −0.0350135 | + | 1.10674i | ||||
\(663\) | 10.4557 | − | 10.4557i | 0.406066 | − | 0.406066i | ||||
\(664\) | −9.39905 | + | 7.76559i | −0.364754 | + | 0.301363i | ||||
\(665\) | −1.89422 | − | 0.382196i | −0.0734549 | − | 0.0148209i | ||||
\(666\) | 12.7774 | + | 13.6123i | 0.495114 | + | 0.527465i | ||||
\(667\) | −19.8418 | − | 19.8418i | −0.768278 | − | 0.768278i | ||||
\(668\) | 24.4173 | + | 27.7195i | 0.944733 | + | 1.07250i | ||||
\(669\) | 10.9816i | 0.424573i | ||||||||
\(670\) | −30.6764 | − | 7.20603i | −1.18513 | − | 0.278393i | ||||
\(671\) | 1.47049i | 0.0567675i | ||||||||
\(672\) | −4.95493 | − | 0.790122i | −0.191141 | − | 0.0304796i | ||||
\(673\) | −22.3465 | − | 22.3465i | −0.861393 | − | 0.861393i | 0.130107 | − | 0.991500i | \(-0.458468\pi\) |
−0.991500 | + | 0.130107i | \(0.958468\pi\) | |||||||
\(674\) | −10.5932 | + | 9.94353i | −0.408037 | + | 0.383010i | ||||
\(675\) | −8.71242 | + | 3.55286i | −0.335341 | + | 0.136750i | ||||
\(676\) | −0.126420 | + | 1.99600i | −0.00486230 | + | 0.0767693i | ||||
\(677\) | 19.4412 | − | 19.4412i | 0.747188 | − | 0.747188i | −0.226762 | − | 0.973950i | \(-0.572814\pi\) |
0.973950 | + | 0.226762i | \(0.0728140\pi\) | |||||||
\(678\) | 33.1003 | + | 1.04718i | 1.27121 | + | 0.0402168i | ||||
\(679\) | −1.85023 | −0.0710054 | ||||||||
\(680\) | −11.9146 | + | 39.3552i | −0.456904 | + | 1.50920i | ||||
\(681\) | 29.9628 | 1.14818 | ||||||||
\(682\) | 10.8695 | + | 0.343873i | 0.416213 | + | 0.0131676i | ||||
\(683\) | 2.48920 | − | 2.48920i | 0.0952465 | − | 0.0952465i | −0.657878 | − | 0.753124i | \(-0.728546\pi\) |
0.753124 | + | 0.657878i | \(0.228546\pi\) | |||||||
\(684\) | −0.608617 | + | 9.60924i | −0.0232710 | + | 0.367419i | ||||
\(685\) | 0.478093 | − | 2.36951i | 0.0182670 | − | 0.0905342i | ||||
\(686\) | 5.56871 | − | 5.22717i | 0.212614 | − | 0.199574i | ||||
\(687\) | 23.0706 | + | 23.0706i | 0.880198 | + | 0.880198i | ||||
\(688\) | −19.0716 | + | 14.7678i | −0.727098 | + | 0.563017i | ||||
\(689\) | 0.869922i | 0.0331414i | ||||||||
\(690\) | 14.5726 | + | 23.5209i | 0.554768 | + | 0.895427i | ||||
\(691\) | 31.7913i | 1.20940i | 0.796454 | + | 0.604699i | \(0.206706\pi\) | ||||
−0.796454 | + | 0.604699i | \(0.793294\pi\) | |||||||
\(692\) | −3.52111 | − | 3.99730i | −0.133853 | − | 0.151955i | ||||
\(693\) | 0.492591 | + | 0.492591i | 0.0187120 | + | 0.0187120i | ||||
\(694\) | 28.8122 | + | 30.6948i | 1.09370 | + | 1.16516i | ||||
\(695\) | 34.1026 | − | 22.6514i | 1.29358 | − | 0.859216i | ||||
\(696\) | 29.8846 | + | 36.1707i | 1.13277 | + | 1.37105i | ||||
\(697\) | −4.72087 | + | 4.72087i | −0.178816 | + | 0.178816i | ||||
\(698\) | −0.531716 | + | 16.8070i | −0.0201258 | + | 0.636154i | ||||
\(699\) | 5.61858 | 0.212514 | ||||||||
\(700\) | 3.69711 | − | 1.24143i | 0.139738 | − | 0.0469216i | ||||
\(701\) | −4.81933 | −0.182024 | −0.0910118 | − | 0.995850i | \(-0.529010\pi\) | ||||
−0.0910118 | + | 0.995850i | \(0.529010\pi\) | |||||||
\(702\) | 0.0841513 | − | 2.65993i | 0.00317609 | − | 0.100393i | ||||
\(703\) | 9.52090 | − | 9.52090i | 0.359087 | − | 0.359087i | ||||
\(704\) | −1.24062 | + | 6.45930i | −0.0467576 | + | 0.243444i | ||||
\(705\) | −18.9333 | + | 12.5758i | −0.713070 | + | 0.473631i | ||||
\(706\) | −11.0387 | − | 11.7600i | −0.415448 | − | 0.442593i | ||||
\(707\) | −4.99817 | − | 4.99817i | −0.187975 | − | 0.187975i | ||||
\(708\) | 42.0162 | − | 37.0109i | 1.57907 | − | 1.39095i | ||||
\(709\) | 25.3141i | 0.950691i | 0.879799 | + | 0.475346i | \(0.157677\pi\) | ||||
−0.879799 | + | 0.475346i | \(0.842323\pi\) | |||||||
\(710\) | 6.18379 | + | 9.98098i | 0.232074 | + | 0.374579i | ||||
\(711\) | − | 19.5036i | − | 0.731443i | ||||||
\(712\) | −3.36865 | + | 35.3984i | −0.126246 | + | 1.32661i | ||||
\(713\) | −25.4436 | − | 25.4436i | −0.952871 | − | 0.952871i | ||||
\(714\) | 5.94620 | − | 5.58150i | 0.222531 | − | 0.208882i | ||||
\(715\) | −0.363610 | + | 1.80211i | −0.0135982 | + | 0.0673951i | ||||
\(716\) | −7.55327 | − | 0.478398i | −0.282279 | − | 0.0178786i | ||||
\(717\) | 7.33670 | − | 7.33670i | 0.273994 | − | 0.273994i | ||||
\(718\) | 7.49061 | + | 0.236977i | 0.279547 | + | 0.00884391i | ||||
\(719\) | −17.8561 | −0.665921 | −0.332961 | − | 0.942941i | \(-0.608048\pi\) | ||||
−0.332961 | + | 0.942941i | \(0.608048\pi\) | |||||||
\(720\) | −8.62340 | − | 17.4141i | −0.321375 | − | 0.648984i | ||||
\(721\) | 4.65196 | 0.173248 | ||||||||
\(722\) | −19.9160 | − | 0.630075i | −0.741197 | − | 0.0234490i | ||||
\(723\) | −34.2270 | + | 34.2270i | −1.27292 | + | 1.27292i | ||||
\(724\) | 28.6216 | + | 1.81280i | 1.06371 | + | 0.0673720i | ||||
\(725\) | −33.6156 | − | 14.1408i | −1.24845 | − | 0.525178i | ||||
\(726\) | −24.2110 | + | 22.7261i | −0.898556 | + | 0.843445i | ||||
\(727\) | 35.3041 | + | 35.3041i | 1.30936 | + | 1.30936i | 0.921880 | + | 0.387477i | \(0.126653\pi\) |
0.387477 | + | 0.921880i | \(0.373347\pi\) | |||||||
\(728\) | −0.104501 | + | 1.09812i | −0.00387307 | + | 0.0406989i | ||||
\(729\) | − | 10.6193i | − | 0.393308i | ||||||
\(730\) | 0.549222 | + | 0.129015i | 0.0203276 | + | 0.00477506i | ||||
\(731\) | − | 39.2054i | − | 1.45006i | ||||||
\(732\) | −6.10478 | + | 5.37753i | −0.225639 | + | 0.198759i | ||||
\(733\) | 14.6703 | + | 14.6703i | 0.541859 | + | 0.541859i | 0.924074 | − | 0.382214i | \(-0.124838\pi\) |
−0.382214 | + | 0.924074i | \(0.624838\pi\) | |||||||
\(734\) | −1.46490 | − | 1.56061i | −0.0540703 | − | 0.0576033i | ||||
\(735\) | 34.1375 | + | 6.88789i | 1.25918 | + | 0.254064i | ||||
\(736\) | 17.6201 | − | 12.7735i | 0.649486 | − | 0.470838i | ||||
\(737\) | 5.79314 | − | 5.79314i | 0.213393 | − | 0.213393i | ||||
\(738\) | 0.0997675 | − | 3.15355i | 0.00367249 | − | 0.116084i | ||||
\(739\) | −29.6878 | −1.09208 | −0.546041 | − | 0.837758i | \(-0.683866\pi\) | ||||
−0.546041 | + | 0.837758i | \(0.683866\pi\) | |||||||
\(740\) | −7.04762 | + | 26.2445i | −0.259076 | + | 0.964766i | ||||
\(741\) | 5.03969 | 0.185138 | ||||||||
\(742\) | −0.0151715 | + | 0.479556i | −0.000556964 | + | 0.0176051i | ||||
\(743\) | −21.9023 | + | 21.9023i | −0.803518 | + | 0.803518i | −0.983644 | − | 0.180126i | \(-0.942349\pi\) |
0.180126 | + | 0.983644i | \(0.442349\pi\) | |||||||
\(744\) | 38.3217 | + | 46.3825i | 1.40494 | + | 1.70047i | ||||
\(745\) | −1.44071 | − | 2.16905i | −0.0527836 | − | 0.0794678i | ||||
\(746\) | 6.31057 | + | 6.72290i | 0.231046 | + | 0.246143i | ||||
\(747\) | 6.62210 | + | 6.62210i | 0.242290 | + | 0.242290i | ||||
\(748\) | −7.06651 | − | 8.02218i | −0.258377 | − | 0.293320i | ||||
\(749\) | 5.58270i | 0.203987i | ||||||||
\(750\) | 29.0800 | + | 21.1543i | 1.06185 | + | 0.772445i | ||||
\(751\) | − | 6.72720i | − | 0.245479i | −0.992439 | − | 0.122740i | \(-0.960832\pi\) | ||
0.992439 | − | 0.122740i | \(-0.0391680\pi\) | |||||||
\(752\) | 10.9454 | + | 14.1352i | 0.399136 | + | 0.515457i | ||||
\(753\) | −40.7940 | − | 40.7940i | −1.48661 | − | 1.48661i | ||||
\(754\) | 7.52074 | − | 7.05947i | 0.273889 | − | 0.257091i | ||||
\(755\) | −1.24789 | − | 1.87875i | −0.0454153 | − | 0.0683746i | ||||
\(756\) | 0.0927790 | − | 1.46486i | 0.00337434 | − | 0.0532763i | ||||
\(757\) | 14.5990 | − | 14.5990i | 0.530609 | − | 0.530609i | −0.390145 | − | 0.920754i | \(-0.627575\pi\) |
0.920754 | + | 0.390145i | \(0.127575\pi\) | |||||||
\(758\) | 36.3093 | + | 1.14870i | 1.31881 | + | 0.0417227i | ||||
\(759\) | −7.19384 | −0.261120 | ||||||||
\(760\) | −12.3561 | + | 6.61323i | −0.448204 | + | 0.239887i | ||||
\(761\) | 23.2357 | 0.842294 | 0.421147 | − | 0.906993i | \(-0.361628\pi\) | ||||
0.421147 | + | 0.906993i | \(0.361628\pi\) | |||||||
\(762\) | −12.0151 | − | 0.380116i | −0.435260 | − | 0.0137701i | ||||
\(763\) | −1.66154 | + | 1.66154i | −0.0601516 | + | 0.0601516i | ||||
\(764\) | 0.478117 | − | 7.54882i | 0.0172977 | − | 0.273107i | ||||
\(765\) | 30.9608 | + | 6.24694i | 1.11939 | + | 0.225858i | ||||
\(766\) | −10.3285 | + | 9.69504i | −0.373185 | + | 0.350296i | ||||
\(767\) | −8.70425 | − | 8.70425i | −0.314292 | − | 0.314292i | ||||
\(768\) | −31.3529 | + | 18.4710i | −1.13135 | + | 0.666515i | ||||
\(769\) | 7.52587i | 0.271390i | 0.990751 | + | 0.135695i | \(0.0433267\pi\) | ||||
−0.990751 | + | 0.135695i | \(0.956673\pi\) | |||||||
\(770\) | −0.231874 | + | 0.987096i | −0.00835615 | + | 0.0355725i | ||||
\(771\) | 9.08034i | 0.327020i | ||||||||
\(772\) | 6.54019 | + | 7.42468i | 0.235387 | + | 0.267220i | ||||
\(773\) | −22.8017 | − | 22.8017i | −0.820122 | − | 0.820122i | 0.166004 | − | 0.986125i | \(-0.446914\pi\) |
−0.986125 | + | 0.166004i | \(0.946914\pi\) | |||||||
\(774\) | 12.6804 | + | 13.5089i | 0.455786 | + | 0.485567i | ||||
\(775\) | −43.1060 | − | 18.1331i | −1.54841 | − | 0.651362i | ||||
\(776\) | −10.3447 | + | 8.54688i | −0.371352 | + | 0.306815i | ||||
\(777\) | 3.81104 | − | 3.81104i | 0.136720 | − | 0.136720i | ||||
\(778\) | −0.543842 | + | 17.1903i | −0.0194977 | + | 0.616302i | ||||
\(779\) | −2.27548 | −0.0815276 | ||||||||
\(780\) | −8.81124 | + | 5.08073i | −0.315493 | + | 0.181919i | ||||
\(781\) | −3.05267 | −0.109233 | ||||||||
\(782\) | −1.11853 | + | 35.3555i | −0.0399985 | + | 1.26431i | ||||
\(783\) | −9.70530 | + | 9.70530i | −0.346839 | + | 0.346839i | ||||
\(784\) | 3.45592 | − | 27.1727i | 0.123426 | − | 0.970454i | ||||
\(785\) | −8.69956 | + | 43.1165i | −0.310501 | + | 1.53889i | ||||
\(786\) | −32.9506 | − | 35.1036i | −1.17531 | − | 1.25210i | ||||
\(787\) | −0.525755 | − | 0.525755i | −0.0187411 | − | 0.0187411i | 0.697674 | − | 0.716415i | \(-0.254218\pi\) |
−0.716415 | + | 0.697674i | \(0.754218\pi\) | |||||||
\(788\) | −35.9554 | + | 31.6721i | −1.28086 | + | 1.12827i | ||||
\(789\) | − | 30.5105i | − | 1.08620i | ||||||
\(790\) | 24.1319 | − | 14.9511i | 0.858576 | − | 0.531937i | ||||
\(791\) | − | 4.01552i | − | 0.142775i | ||||||
\(792\) | 5.02953 | + | 0.478629i | 0.178717 | + | 0.0170074i | ||||
\(793\) | 1.26469 | + | 1.26469i | 0.0449105 | + | 0.0449105i | ||||
\(794\) | 24.7844 | − | 23.2643i | 0.879564 | − | 0.825618i | ||||
\(795\) | −3.68520 | + | 2.44776i | −0.130700 | + | 0.0868130i | ||||
\(796\) | −51.8664 | − | 3.28504i | −1.83836 | − | 0.116435i | ||||
\(797\) | 26.1696 | − | 26.1696i | 0.926976 | − | 0.926976i | −0.0705335 | − | 0.997509i | \(-0.522470\pi\) |
0.997509 | + | 0.0705335i | \(0.0224702\pi\) | |||||||
\(798\) | 2.77820 | + | 0.0878928i | 0.0983472 | + | 0.00311137i | ||||
\(799\) | −29.0577 | −1.02799 | ||||||||
\(800\) | 14.9360 | − | 24.0191i | 0.528066 | − | 0.849203i | ||||
\(801\) | 27.3134 | 0.965071 | ||||||||
\(802\) | −15.4602 | − | 0.489107i | −0.545917 | − | 0.0172710i | ||||
\(803\) | −0.103719 | + | 0.103719i | −0.00366016 | + | 0.00366016i | ||||
\(804\) | 45.2358 | + | 2.86508i | 1.59534 | + | 0.101044i | ||||
\(805\) | 2.79468 | − | 1.85627i | 0.0984996 | − | 0.0654247i | ||||
\(806\) | 9.64402 | − | 9.05253i | 0.339696 | − | 0.318862i | ||||
\(807\) | −46.3646 | − | 46.3646i | −1.63211 | − | 1.63211i | ||||
\(808\) | −51.0331 | − | 4.85650i | −1.79534 | − | 0.170851i | ||||
\(809\) | 34.6532i | 1.21834i | 0.793039 | + | 0.609171i | \(0.208498\pi\) | ||||
−0.793039 | + | 0.609171i | \(0.791502\pi\) | |||||||
\(810\) | 29.0257 | − | 17.9831i | 1.01986 | − | 0.631862i | ||||
\(811\) | − | 53.1108i | − | 1.86497i | −0.361204 | − | 0.932487i | \(-0.617634\pi\) | ||
0.361204 | − | 0.932487i | \(-0.382366\pi\) | |||||||
\(812\) | 4.26902 | − | 3.76046i | 0.149813 | − | 0.131966i | ||||
\(813\) | −14.7497 | − | 14.7497i | −0.517294 | − | 0.517294i | ||||
\(814\) | −4.83532 | − | 5.15126i | −0.169478 | − | 0.180552i | ||||
\(815\) | 9.68060 | − | 47.9786i | 0.339097 | − | 1.68062i | ||||
\(816\) | 7.46233 | − | 58.6738i | 0.261234 | − | 2.05399i | ||||
\(817\) | 9.44859 | − | 9.44859i | 0.330564 | − | 0.330564i | ||||
\(818\) | 1.22886 | − | 38.8430i | 0.0429661 | − | 1.35812i | ||||
\(819\) | 0.847305 | 0.0296072 | ||||||||
\(820\) | 3.97838 | − | 2.29401i | 0.138931 | − | 0.0801103i | ||||
\(821\) | −28.3719 | −0.990185 | −0.495093 | − | 0.868840i | \(-0.664866\pi\) | ||||
−0.495093 | + | 0.868840i | \(0.664866\pi\) | |||||||
\(822\) | −0.109946 | + | 3.47528i | −0.00383481 | + | 0.121214i | ||||
\(823\) | 3.61644 | − | 3.61644i | 0.126061 | − | 0.126061i | −0.641261 | − | 0.767323i | \(-0.721589\pi\) |
0.767323 | + | 0.641261i | \(0.221589\pi\) | |||||||
\(824\) | 26.0092 | − | 21.4890i | 0.906072 | − | 0.748606i | ||||
\(825\) | −8.65728 | + | 3.53038i | −0.301408 | + | 0.122912i | ||||
\(826\) | −4.64653 | − | 4.95013i | −0.161673 | − | 0.172237i | ||||
\(827\) | 30.3464 | + | 30.3464i | 1.05525 | + | 1.05525i | 0.998382 | + | 0.0568651i | \(0.0181105\pi\) |
0.0568651 | + | 0.998382i | \(0.481889\pi\) | |||||||
\(828\) | −11.0498 | − | 12.5441i | −0.384006 | − | 0.435938i | ||||
\(829\) | − | 11.0633i | − | 0.384244i | −0.981371 | − | 0.192122i | \(-0.938463\pi\) | ||
0.981371 | − | 0.192122i | \(-0.0615369\pi\) | |||||||
\(830\) | −3.11718 | + | 13.2699i | −0.108199 | + | 0.460606i | ||||
\(831\) | 59.5203i | 2.06474i | ||||||||
\(832\) | 4.48832 | + | 6.62231i | 0.155605 | + | 0.229587i | ||||
\(833\) | 31.4816 | + | 31.4816i | 1.09077 | + | 1.09077i | ||||
\(834\) | −42.9363 | + | 40.3029i | −1.48676 | + | 1.39558i | ||||
\(835\) | 40.4844 | + | 8.16851i | 1.40102 | + | 0.282683i | ||||
\(836\) | 0.230318 | − | 3.63641i | 0.00796570 | − | 0.125768i | ||||
\(837\) | −12.4453 | + | 12.4453i | −0.430174 | + | 0.430174i | ||||
\(838\) | 17.9213 | + | 0.566969i | 0.619081 | + | 0.0195856i | ||||
\(839\) | −45.2797 | −1.56323 | −0.781614 | − | 0.623763i | \(-0.785603\pi\) | ||||
−0.781614 | + | 0.623763i | \(0.785603\pi\) | |||||||
\(840\) | −4.94592 | + | 2.64715i | −0.170651 | + | 0.0913354i | ||||
\(841\) | −24.1988 | −0.834441 | ||||||||
\(842\) | −2.51149 | − | 0.0794551i | −0.0865518 | − | 0.00273820i | ||||
\(843\) | −30.3645 | + | 30.3645i | −1.04581 | + | 1.04581i | ||||
\(844\) | 0.705966 | − | 11.1463i | 0.0243004 | − | 0.383670i | ||||
\(845\) | 1.23718 | + | 1.86263i | 0.0425604 | + | 0.0640763i | ||||
\(846\) | 10.0123 | − | 9.39823i | 0.344230 | − | 0.323118i | ||||
\(847\) | 2.84705 | + | 2.84705i | 0.0978260 | + | 0.0978260i | ||||
\(848\) | 2.13041 | + | 2.75129i | 0.0731587 | + | 0.0944795i | ||||
\(849\) | 14.9956i | 0.514647i | ||||||||
\(850\) | 16.0047 | + | 43.0968i | 0.548955 | + | 1.47821i | ||||
\(851\) | 23.3770i | 0.801352i | ||||||||
\(852\) | −11.1635 | − | 12.6733i | −0.382456 | − | 0.434179i | ||||
\(853\) | −3.90159 | − | 3.90159i | −0.133588 | − | 0.133588i | 0.637151 | − | 0.770739i | \(-0.280113\pi\) |
−0.770739 | + | 0.637151i | \(0.780113\pi\) | |||||||
\(854\) | 0.675121 | + | 0.719234i | 0.0231022 | + | 0.0246117i | ||||
\(855\) | 5.95610 | + | 8.96715i | 0.203694 | + | 0.306670i | ||||
\(856\) | 25.7884 | + | 31.2129i | 0.881431 | + | 1.06684i | ||||
\(857\) | −1.05451 | + | 1.05451i | −0.0360212 | + | 0.0360212i | −0.724888 | − | 0.688867i | \(-0.758108\pi\) |
0.688867 | + | 0.724888i | \(0.258108\pi\) | |||||||
\(858\) | 0.0836187 | − | 2.64310i | 0.00285469 | − | 0.0902339i | ||||
\(859\) | −3.64434 | −0.124343 | −0.0621716 | − | 0.998065i | \(-0.519803\pi\) | ||||
−0.0621716 | + | 0.998065i | \(0.519803\pi\) | |||||||
\(860\) | −6.99409 | + | 26.0451i | −0.238497 | + | 0.888132i | ||||
\(861\) | −0.910833 | −0.0310411 | ||||||||
\(862\) | 0.486035 | − | 15.3631i | 0.0165544 | − | 0.523268i | ||||
\(863\) | 2.09415 | − | 2.09415i | 0.0712857 | − | 0.0712857i | −0.670565 | − | 0.741851i | \(-0.733948\pi\) |
0.741851 | + | 0.670565i | \(0.233948\pi\) | |||||||
\(864\) | −6.24796 | − | 8.61860i | −0.212560 | − | 0.293211i | ||||
\(865\) | −5.83809 | − | 1.17794i | −0.198501 | − | 0.0400513i | ||||
\(866\) | −11.8612 | − | 12.6362i | −0.403060 | − | 0.429396i | ||||
\(867\) | 40.6386 | + | 40.6386i | 1.38016 | + | 1.38016i | ||||
\(868\) | 5.47427 | − | 4.82213i | 0.185809 | − | 0.163674i | ||||
\(869\) | 7.38071i | 0.250374i | ||||||||
\(870\) | 51.0672 | + | 11.9959i | 1.73134 | + | 0.406700i | ||||
\(871\) | − | 9.96477i | − | 0.337643i | ||||||
\(872\) | −1.61444 | + | 16.9649i | −0.0546720 | + | 0.574503i | ||||
\(873\) | 7.28834 | + | 7.28834i | 0.246673 | + | 0.246673i | ||||
\(874\) | −8.79032 | + | 8.25118i | −0.297337 | + | 0.279100i | ||||
\(875\) | 2.45224 | − | 3.60537i | 0.0829009 | − | 0.121884i | ||||
\(876\) | −0.809889 | − | 0.0512956i | −0.0273636 | − | 0.00173312i | ||||
\(877\) | −2.90704 | + | 2.90704i | −0.0981639 | + | 0.0981639i | −0.754483 | − | 0.656319i | \(-0.772112\pi\) |
0.656319 | + | 0.754483i | \(0.272112\pi\) | |||||||
\(878\) | 36.5648 | + | 1.15679i | 1.23400 | + | 0.0390396i | ||||
\(879\) | 68.4244 | 2.30790 | ||||||||
\(880\) | 3.26334 | + | 6.58997i | 0.110007 | + | 0.222148i | ||||
\(881\) | 11.9817 | 0.403673 | 0.201837 | − | 0.979419i | \(-0.435309\pi\) | ||||
0.201837 | + | 0.979419i | \(0.435309\pi\) | |||||||
\(882\) | −21.0297 | − | 0.665309i | −0.708108 | − | 0.0224021i | ||||
\(883\) | 7.00443 | − | 7.00443i | 0.235718 | − | 0.235718i | −0.579357 | − | 0.815074i | \(-0.696696\pi\) |
0.815074 | + | 0.579357i | \(0.196696\pi\) | |||||||
\(884\) | −12.9770 | − | 0.821920i | −0.436464 | − | 0.0276442i | ||||
\(885\) | 12.3815 | − | 61.3649i | 0.416201 | − | 2.06276i | ||||
\(886\) | −13.8409 | + | 12.9920i | −0.464995 | + | 0.436475i | ||||
\(887\) | −1.43568 | − | 1.43568i | −0.0482055 | − | 0.0482055i | 0.682593 | − | 0.730799i | \(-0.260852\pi\) |
−0.730799 | + | 0.682593i | \(0.760852\pi\) | |||||||
\(888\) | 3.70302 | − | 38.9121i | 0.124265 | − | 1.30580i | ||||
\(889\) | 1.45759i | 0.0488860i | ||||||||
\(890\) | 20.9379 | + | 33.7950i | 0.701841 | + | 1.13281i | ||||
\(891\) | 8.87748i | 0.297407i | ||||||||
\(892\) | 7.24649 | − | 6.38323i | 0.242630 | − | 0.213726i | ||||
\(893\) | −7.00296 | − | 7.00296i | −0.234345 | − | 0.234345i | ||||
\(894\) | 2.56341 | + | 2.73091i | 0.0857334 | + | 0.0913352i | ||||
\(895\) | −7.04856 | + | 4.68175i | −0.235607 | + | 0.156494i | ||||
\(896\) | 2.35875 | + | 3.72891i | 0.0788004 | + | 0.124574i | ||||
\(897\) | −6.18706 | + | 6.18706i | −0.206580 | + | 0.206580i | ||||
\(898\) | 0.910134 | − | 28.7684i | 0.0303716 | − | 0.960014i | ||||
\(899\) | −68.2181 | −2.27520 | ||||||||
\(900\) | −19.4536 | − | 9.67329i | −0.648454 | − | 0.322443i | ||||
\(901\) | −5.65581 | −0.188422 | ||||||||
\(902\) | −0.0377548 | + | 1.19339i | −0.00125710 | + | 0.0397355i | ||||
\(903\) | 3.78209 | − | 3.78209i | 0.125860 | − | 0.125860i | ||||
\(904\) | −18.5491 | − | 22.4508i | −0.616933 | − | 0.746702i | ||||
\(905\) | 26.7091 | − | 17.7406i | 0.887841 | − | 0.589716i | ||||
\(906\) | 2.22033 | + | 2.36541i | 0.0737656 | + | 0.0785854i | ||||
\(907\) | −4.39455 | − | 4.39455i | −0.145919 | − | 0.145919i | 0.630373 | − | 0.776292i | \(-0.282902\pi\) |
−0.776292 | + | 0.630373i | \(0.782902\pi\) | |||||||
\(908\) | −17.4164 | − | 19.7717i | −0.577982 | − | 0.656148i | ||||
\(909\) | 39.3770i | 1.30605i | ||||||||
\(910\) | 0.649529 | + | 1.04837i | 0.0215317 | + | 0.0347533i | ||||
\(911\) | 25.7092i | 0.851784i | 0.904774 | + | 0.425892i | \(0.140040\pi\) | ||||
−0.904774 | + | 0.425892i | \(0.859960\pi\) | |||||||
\(912\) | 15.9389 | − | 12.3421i | 0.527791 | − | 0.408687i | ||||
\(913\) | −2.50599 | − | 2.50599i | −0.0829361 | − | 0.0829361i | ||||
\(914\) | 1.56242 | − | 1.46659i | 0.0516803 | − | 0.0485106i | ||||
\(915\) | −1.79899 | + | 8.91607i | −0.0594727 | + | 0.294756i | ||||
\(916\) | 1.81357 | − | 28.6339i | 0.0599221 | − | 0.946090i | ||||
\(917\) | −4.12794 | + | 4.12794i | −0.136317 | + | 0.136317i | ||||
\(918\) | 17.2936 | + | 0.547111i | 0.570774 | + | 0.0180573i | ||||
\(919\) | −0.581400 | −0.0191786 | −0.00958930 | − | 0.999954i | \(-0.503052\pi\) | ||||
−0.00958930 | + | 0.999954i | \(0.503052\pi\) | |||||||
\(920\) | 7.05035 | − | 23.2880i | 0.232443 | − | 0.767783i | ||||
\(921\) | 61.3711 | 2.02225 | ||||||||
\(922\) | 34.0845 | + | 1.07832i | 1.12251 | + | 0.0355125i | ||||
\(923\) | −2.62544 | + | 2.62544i | −0.0864176 | + | 0.0864176i | ||||
\(924\) | 0.0921918 | − | 1.45559i | 0.00303289 | − | 0.0478852i | ||||
\(925\) | 11.4722 | + | 28.1325i | 0.377205 | + | 0.924991i | ||||
\(926\) | −34.3080 | + | 32.2038i | −1.12743 | + | 1.05828i | ||||
\(927\) | −18.3248 | − | 18.3248i | −0.601864 | − | 0.601864i | ||||
\(928\) | 6.49725 | − | 40.7449i | 0.213283 | − | 1.33752i | ||||
\(929\) | − | 16.7566i | − | 0.549765i | −0.961478 | − | 0.274882i | \(-0.911361\pi\) | ||
0.961478 | − | 0.274882i | \(-0.0886389\pi\) | |||||||
\(930\) | 65.4846 | + | 15.3827i | 2.14733 | + | 0.504418i | ||||
\(931\) | 15.1743i | 0.497316i | ||||||||
\(932\) | −3.26589 | − | 3.70756i | −0.106978 | − | 0.121445i | ||||
\(933\) | −16.6613 | − | 16.6613i | −0.545466 | − | 0.545466i | ||||
\(934\) | −32.7957 | − | 34.9386i | −1.07311 | − | 1.14323i | ||||
\(935\) | −11.7164 | − | 2.36402i | −0.383169 | − | 0.0773116i | ||||
\(936\) | 4.73729 | − | 3.91400i | 0.154843 | − | 0.127933i | ||||
\(937\) | 1.48384 | − | 1.48384i | 0.0484748 | − | 0.0484748i | −0.682454 | − | 0.730929i | \(-0.739087\pi\) |
0.730929 | + | 0.682454i | \(0.239087\pi\) | |||||||
\(938\) | 0.173787 | − | 5.49321i | 0.00567433 | − | 0.179360i | ||||
\(939\) | −17.1345 | −0.559165 | ||||||||
\(940\) | 19.3037 | + | 5.18377i | 0.629618 | + | 0.169076i | ||||
\(941\) | 38.1693 | 1.24428 | 0.622142 | − | 0.782904i | \(-0.286263\pi\) | ||||
0.622142 | + | 0.782904i | \(0.286263\pi\) | |||||||
\(942\) | 2.00062 | − | 63.2375i | 0.0651837 | − | 2.06039i | ||||
\(943\) | 2.79353 | − | 2.79353i | 0.0909698 | − | 0.0909698i | ||||
\(944\) | −48.8452 | − | 6.21230i | −1.58978 | − | 0.202193i | ||||
\(945\) | −0.907963 | − | 1.36697i | −0.0295360 | − | 0.0444677i | ||||
\(946\) | −4.79860 | − | 5.11214i | −0.156016 | − | 0.166210i | ||||
\(947\) | −27.2775 | − | 27.2775i | −0.886401 | − | 0.886401i | 0.107775 | − | 0.994175i | \(-0.465627\pi\) |
−0.994175 | + | 0.107775i | \(0.965627\pi\) | |||||||
\(948\) | −30.6413 | + | 26.9911i | −0.995184 | + | 0.876629i | ||||
\(949\) | 0.178407i | 0.00579132i | ||||||||
\(950\) | −6.52926 | + | 14.2436i | −0.211837 | + | 0.462122i | ||||
\(951\) | 41.3700i | 1.34151i | ||||||||
\(952\) | −7.13942 | − | 0.679415i | −0.231390 | − | 0.0220200i | ||||
\(953\) | −9.26597 | − | 9.26597i | −0.300154 | − | 0.300154i | 0.540920 | − | 0.841074i | \(-0.318076\pi\) |
−0.841074 | + | 0.540920i | \(0.818076\pi\) | |||||||
\(954\) | 1.94881 | − | 1.82928i | 0.0630949 | − | 0.0592251i | ||||
\(955\) | −4.67899 | − | 7.04441i | −0.151409 | − | 0.227952i | ||||
\(956\) | −9.10589 | − | 0.576736i | −0.294506 | − | 0.0186530i | ||||
\(957\) | −9.64388 | + | 9.64388i | −0.311742 | + | 0.311742i | ||||
\(958\) | 0.882950 | + | 0.0279335i | 0.0285268 | + | 0.000902492i | ||||
\(959\) | 0.421599 | 0.0136141 | ||||||||
\(960\) | −15.4246 | + | 37.6472i | −0.497826 | + | 1.21506i | ||||
\(961\) | −56.4777 | −1.82186 | ||||||||
\(962\) | −8.58896 | − | 0.271725i | −0.276919 | − | 0.00876078i | ||||
\(963\) | 21.9911 | − | 21.9911i | 0.708652 | − | 0.708652i | ||||
\(964\) | 42.4806 | + | 2.69058i | 1.36821 | + | 0.0866577i | ||||
\(965\) | 10.8438 | + | 2.18794i | 0.349074 | + | 0.0704323i | ||||
\(966\) | −3.51860 | + | 3.30280i | −0.113209 | + | 0.106266i | ||||
\(967\) | 20.6046 | + | 20.6046i | 0.662601 | + | 0.662601i | 0.955992 | − | 0.293392i | \(-0.0947840\pi\) |
−0.293392 | + | 0.955992i | \(0.594784\pi\) | |||||||
\(968\) | 29.0695 | + | 2.76636i | 0.934328 | + | 0.0889142i | ||||
\(969\) | 32.7656i | 1.05258i | ||||||||
\(970\) | −3.43079 | + | 14.6050i | −0.110156 | + | 0.468939i | ||||
\(971\) | − | 31.0209i | − | 0.995509i | −0.867318 | − | 0.497755i | \(-0.834158\pi\) | ||
0.867318 | − | 0.497755i | \(-0.165842\pi\) | |||||||
\(972\) | −28.3827 | + | 25.0015i | −0.910375 | + | 0.801924i | ||||
\(973\) | 5.04903 | + | 5.04903i | 0.161864 | + | 0.161864i | ||||
\(974\) | −35.2387 | − | 37.5412i | −1.12912 | − | 1.20290i | ||||
\(975\) | −4.40939 | + | 10.4820i | −0.141213 | + | 0.335692i | ||||
\(976\) | 7.09700 | + | 0.902621i | 0.227170 | + | 0.0288922i | ||||
\(977\) | −16.9709 | + | 16.9709i | −0.542946 | + | 0.542946i | −0.924392 | − | 0.381445i | \(-0.875427\pi\) |
0.381445 | + | 0.924392i | \(0.375427\pi\) | |||||||
\(978\) | −2.22623 | + | 70.3687i | −0.0711869 | + | 2.25014i | ||||
\(979\) | −10.3361 | −0.330344 | ||||||||
\(980\) | −15.2978 | − | 26.5302i | −0.488671 | − | 0.847476i | ||||
\(981\) | 13.0901 | 0.417934 | ||||||||
\(982\) | 0.442731 | − | 13.9943i | 0.0141281 | − | 0.446575i | ||||
\(983\) | 33.4700 | − | 33.4700i | 1.06753 | − | 1.06753i | 0.0699785 | − | 0.997548i | \(-0.477707\pi\) |
0.997548 | − | 0.0699785i | \(-0.0222931\pi\) | |||||||
\(984\) | −5.09247 | + | 4.20746i | −0.162342 | + | 0.134129i | ||||
\(985\) | −10.5955 | + | 52.5131i | −0.337601 | + | 1.67321i | ||||
\(986\) | 45.8972 | + | 48.8962i | 1.46167 | + | 1.55717i | ||||
\(987\) | −2.80315 | − | 2.80315i | −0.0892254 | − | 0.0892254i | ||||
\(988\) | −2.92940 | − | 3.32557i | −0.0931968 | − | 0.105801i | ||||
\(989\) | 23.1994i | 0.737698i | ||||||||
\(990\) | 4.80170 | − | 2.97493i | 0.152608 | − | 0.0945495i | ||||
\(991\) | 15.6447i | 0.496970i | 0.968636 | + | 0.248485i | \(0.0799327\pi\) | ||||
−0.968636 | + | 0.248485i | \(0.920067\pi\) | |||||||
\(992\) | 8.33158 | − | 52.2482i | 0.264528 | − | 1.65888i | ||||
\(993\) | −32.3978 | − | 32.3978i | −1.02811 | − | 1.02811i | ||||
\(994\) | −1.49310 | + | 1.40152i | −0.0473582 | + | 0.0444536i | ||||
\(995\) | −48.4007 | + | 32.1484i | −1.53441 | + | 1.01917i | ||||
\(996\) | 1.23937 | − | 19.5680i | 0.0392710 | − | 0.620037i | ||||
\(997\) | 37.6543 | − | 37.6543i | 1.19252 | − | 1.19252i | 0.216166 | − | 0.976357i | \(-0.430645\pi\) |
0.976357 | − | 0.216166i | \(-0.0693554\pi\) | |||||||
\(998\) | −39.4702 | − | 1.24870i | −1.24941 | − | 0.0395270i | ||||
\(999\) | 11.4345 | 0.361771 |
(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 | 260.2.o.a.183.36 | yes | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.183.18 | yes | 72 | |
5.2 | odd | 4 | inner | 260.2.o.a.27.18 | ✓ | 72 | |
20.7 | even | 4 | inner | 260.2.o.a.27.36 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.18 | ✓ | 72 | 5.2 | odd | 4 | inner | |
260.2.o.a.27.36 | yes | 72 | 20.7 | even | 4 | inner | |
260.2.o.a.183.18 | yes | 72 | 4.3 | odd | 2 | inner | |
260.2.o.a.183.36 | yes | 72 | 1.1 | even | 1 | trivial |