Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 76.3 | ||
Character | \(\chi\) | \(=\) | 177.76 |
Dual form | 177.2.e.a.7.3 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{20}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.372741 | + | 0.549752i | −0.263568 | + | 0.388734i | −0.936328 | − | 0.351127i | \(-0.885798\pi\) |
0.672760 | + | 0.739861i | \(0.265109\pi\) | |||||||
\(3\) | 0.0541389 | + | 0.998533i | 0.0312571 | + | 0.576504i | ||||
\(4\) | 0.576985 | + | 1.44812i | 0.288492 | + | 0.724061i | ||||
\(5\) | 2.31671 | + | 1.07182i | 1.03606 | + | 0.479335i | 0.862802 | − | 0.505541i | \(-0.168707\pi\) |
0.173262 | + | 0.984876i | \(0.444569\pi\) | |||||||
\(6\) | −0.569126 | − | 0.342432i | −0.232345 | − | 0.139797i | ||||
\(7\) | −0.243434 | − | 0.876769i | −0.0920093 | − | 0.331387i | 0.903192 | − | 0.429237i | \(-0.141217\pi\) |
−0.995201 | + | 0.0978494i | \(0.968804\pi\) | |||||||
\(8\) | −2.30852 | − | 0.508144i | −0.816185 | − | 0.179656i | ||||
\(9\) | −0.994138 | + | 0.108119i | −0.331379 | + | 0.0360397i | ||||
\(10\) | −1.45277 | + | 0.874104i | −0.459407 | + | 0.276416i | ||||
\(11\) | −3.02688 | − | 2.86721i | −0.912638 | − | 0.864496i | 0.0785570 | − | 0.996910i | \(-0.474969\pi\) |
−0.991195 | + | 0.132413i | \(0.957727\pi\) | |||||||
\(12\) | −1.41476 | + | 0.654538i | −0.408406 | + | 0.188949i | ||||
\(13\) | 4.42728 | + | 0.481495i | 1.22791 | + | 0.133543i | 0.698990 | − | 0.715132i | \(-0.253633\pi\) |
0.528916 | + | 0.848674i | \(0.322599\pi\) | |||||||
\(14\) | 0.572744 | + | 0.192980i | 0.153072 | + | 0.0515760i | ||||
\(15\) | −0.944829 | + | 2.37134i | −0.243954 | + | 0.612278i | ||||
\(16\) | −1.12358 | + | 1.06431i | −0.280895 | + | 0.266078i | ||||
\(17\) | −1.03841 | + | 3.74003i | −0.251853 | + | 0.907091i | 0.724206 | + | 0.689583i | \(0.242206\pi\) |
−0.976059 | + | 0.217507i | \(0.930207\pi\) | |||||||
\(18\) | 0.311118 | − | 0.586830i | 0.0733311 | − | 0.138317i | ||||
\(19\) | 2.39487 | + | 1.82053i | 0.549420 | + | 0.417658i | 0.842712 | − | 0.538365i | \(-0.180958\pi\) |
−0.293292 | + | 0.956023i | \(0.594751\pi\) | |||||||
\(20\) | −0.215426 | + | 3.97331i | −0.0481708 | + | 0.888459i | ||||
\(21\) | 0.862304 | − | 0.290544i | 0.188170 | − | 0.0634019i | ||||
\(22\) | 2.70450 | − | 0.595305i | 0.576601 | − | 0.126919i | ||||
\(23\) | −3.29168 | − | 6.20877i | −0.686363 | − | 1.29462i | −0.944501 | − | 0.328509i | \(-0.893454\pi\) |
0.258138 | − | 0.966108i | \(-0.416891\pi\) | |||||||
\(24\) | 0.382418 | − | 2.33265i | 0.0780607 | − | 0.476149i | ||||
\(25\) | 0.981411 | + | 1.15541i | 0.196282 | + | 0.231081i | ||||
\(26\) | −1.91493 | + | 2.25443i | −0.375549 | + | 0.442131i | ||||
\(27\) | −0.161782 | − | 0.986827i | −0.0311350 | − | 0.189915i | ||||
\(28\) | 1.12921 | − | 0.858404i | 0.213401 | − | 0.162223i | ||||
\(29\) | 0.798933 | + | 1.17834i | 0.148358 | + | 0.218812i | 0.894605 | − | 0.446857i | \(-0.147457\pi\) |
−0.746247 | + | 0.665669i | \(0.768146\pi\) | |||||||
\(30\) | −0.951474 | − | 1.40332i | −0.173715 | − | 0.256210i | ||||
\(31\) | 8.51654 | − | 6.47411i | 1.52962 | − | 1.16278i | 0.596822 | − | 0.802374i | \(-0.296430\pi\) |
0.932794 | − | 0.360410i | \(-0.117363\pi\) | |||||||
\(32\) | −0.931139 | − | 5.67970i | −0.164604 | − | 1.00404i | ||||
\(33\) | 2.69913 | − | 3.17766i | 0.469859 | − | 0.553160i | ||||
\(34\) | −1.66903 | − | 1.96494i | −0.286236 | − | 0.336984i | ||||
\(35\) | 0.375777 | − | 2.29214i | 0.0635179 | − | 0.387442i | ||||
\(36\) | −0.730172 | − | 1.37725i | −0.121695 | − | 0.229542i | ||||
\(37\) | −3.02084 | + | 0.664936i | −0.496622 | + | 0.109315i | −0.456217 | − | 0.889869i | \(-0.650796\pi\) |
−0.0404053 | + | 0.999183i | \(0.512865\pi\) | |||||||
\(38\) | −1.89351 | + | 0.637997i | −0.307167 | + | 0.103497i | ||||
\(39\) | −0.241101 | + | 4.44685i | −0.0386071 | + | 0.712066i | ||||
\(40\) | −4.80353 | − | 3.65155i | −0.759506 | − | 0.577361i | ||||
\(41\) | −0.0318184 | + | 0.0600158i | −0.00496920 | + | 0.00937290i | −0.885984 | − | 0.463715i | \(-0.846516\pi\) |
0.881015 | + | 0.473088i | \(0.156861\pi\) | |||||||
\(42\) | −0.161689 | + | 0.582351i | −0.0249492 | + | 0.0898588i | ||||
\(43\) | −5.79940 | + | 5.49349i | −0.884401 | + | 0.837749i | −0.987613 | − | 0.156910i | \(-0.949847\pi\) |
0.103212 | + | 0.994659i | \(0.467088\pi\) | |||||||
\(44\) | 2.40561 | − | 6.03762i | 0.362659 | − | 0.910206i | ||||
\(45\) | −2.41902 | − | 0.815061i | −0.360605 | − | 0.121502i | ||||
\(46\) | 4.64023 | + | 0.504655i | 0.684165 | + | 0.0744074i | ||||
\(47\) | 8.63465 | − | 3.99482i | 1.25949 | − | 0.582704i | 0.327388 | − | 0.944890i | \(-0.393832\pi\) |
0.932106 | + | 0.362186i | \(0.117970\pi\) | |||||||
\(48\) | −1.12358 | − | 1.06431i | −0.162175 | − | 0.153620i | ||||
\(49\) | 5.28854 | − | 3.18201i | 0.755505 | − | 0.454572i | ||||
\(50\) | −1.00100 | + | 0.108865i | −0.141563 | + | 0.0153959i | ||||
\(51\) | −3.79076 | − | 0.834410i | −0.530813 | − | 0.116841i | ||||
\(52\) | 1.85721 | + | 6.68905i | 0.257548 | + | 0.927605i | ||||
\(53\) | −1.86531 | − | 1.12232i | −0.256221 | − | 0.154163i | 0.381649 | − | 0.924307i | \(-0.375356\pi\) |
−0.637869 | + | 0.770145i | \(0.720184\pi\) | |||||||
\(54\) | 0.602813 | + | 0.278891i | 0.0820325 | + | 0.0379523i | ||||
\(55\) | −3.93925 | − | 9.88678i | −0.531169 | − | 1.33313i | ||||
\(56\) | 0.116447 | + | 2.14774i | 0.0155609 | + | 0.287004i | ||||
\(57\) | −1.68820 | + | 2.48992i | −0.223608 | + | 0.329797i | ||||
\(58\) | −0.945590 | −0.124162 | ||||||||
\(59\) | 7.19506 | + | 2.68907i | 0.936717 | + | 0.350087i | ||||
\(60\) | −3.97914 | −0.513705 | ||||||||
\(61\) | −0.597789 | + | 0.881672i | −0.0765390 | + | 0.112887i | −0.864032 | − | 0.503437i | \(-0.832068\pi\) |
0.787493 | + | 0.616324i | \(0.211379\pi\) | |||||||
\(62\) | 0.384688 | + | 7.09516i | 0.0488554 | + | 0.901086i | ||||
\(63\) | 0.336802 | + | 0.845309i | 0.0424331 | + | 0.106499i | ||||
\(64\) | 0.660296 | + | 0.305486i | 0.0825370 | + | 0.0381857i | ||||
\(65\) | 9.74064 | + | 5.86075i | 1.20818 | + | 0.726937i | ||||
\(66\) | 0.740850 | + | 2.66830i | 0.0911924 | + | 0.328445i | ||||
\(67\) | 0.687250 | + | 0.151275i | 0.0839609 | + | 0.0184812i | 0.256752 | − | 0.966477i | \(-0.417348\pi\) |
−0.172791 | + | 0.984958i | \(0.555279\pi\) | |||||||
\(68\) | −6.01517 | + | 0.654189i | −0.729447 | + | 0.0793321i | ||||
\(69\) | 6.02145 | − | 3.62299i | 0.724898 | − | 0.436156i | ||||
\(70\) | 1.12004 | + | 1.06096i | 0.133870 | + | 0.126809i | ||||
\(71\) | −6.98592 | + | 3.23203i | −0.829076 | + | 0.383571i | −0.788069 | − | 0.615587i | \(-0.788919\pi\) |
−0.0410074 | + | 0.999159i | \(0.513057\pi\) | |||||||
\(72\) | 2.34993 | + | 0.255570i | 0.276942 | + | 0.0301192i | ||||
\(73\) | −8.75277 | − | 2.94915i | −1.02443 | − | 0.345172i | −0.243577 | − | 0.969882i | \(-0.578321\pi\) |
−0.780857 | + | 0.624710i | \(0.785217\pi\) | |||||||
\(74\) | 0.760440 | − | 1.90856i | 0.0883994 | − | 0.221866i | ||||
\(75\) | −1.10058 | + | 1.04252i | −0.127084 | + | 0.120380i | ||||
\(76\) | −1.25455 | + | 4.51848i | −0.143907 | + | 0.518305i | ||||
\(77\) | −1.77704 | + | 3.35185i | −0.202512 | + | 0.381978i | ||||
\(78\) | −2.35480 | − | 1.79007i | −0.266628 | − | 0.202686i | ||||
\(79\) | 0.812425 | − | 14.9843i | 0.0914050 | − | 1.68587i | −0.489586 | − | 0.871955i | \(-0.662852\pi\) |
0.580991 | − | 0.813910i | \(-0.302665\pi\) | |||||||
\(80\) | −3.74377 | + | 1.26142i | −0.418566 | + | 0.141031i | ||||
\(81\) | 0.976621 | − | 0.214970i | 0.108513 | − | 0.0238856i | ||||
\(82\) | −0.0211338 | − | 0.0398626i | −0.00233384 | − | 0.00440209i | ||||
\(83\) | −0.914386 | + | 5.57751i | −0.100367 | + | 0.612211i | 0.887967 | + | 0.459907i | \(0.152117\pi\) |
−0.988334 | + | 0.152303i | \(0.951331\pi\) | |||||||
\(84\) | 0.918279 | + | 1.08108i | 0.100192 | + | 0.117956i | ||||
\(85\) | −6.41436 | + | 7.55157i | −0.695735 | + | 0.819083i | ||||
\(86\) | −0.858380 | − | 5.23589i | −0.0925615 | − | 0.564600i | ||||
\(87\) | −1.13336 | + | 0.861555i | −0.121509 | + | 0.0923684i | ||||
\(88\) | 5.53065 | + | 8.15710i | 0.589570 | + | 0.869550i | ||||
\(89\) | 1.96053 | + | 2.89157i | 0.207816 | + | 0.306506i | 0.917285 | − | 0.398231i | \(-0.130376\pi\) |
−0.709469 | + | 0.704736i | \(0.751065\pi\) | |||||||
\(90\) | 1.34975 | − | 1.02605i | 0.142276 | − | 0.108155i | ||||
\(91\) | −0.655588 | − | 3.99891i | −0.0687243 | − | 0.419200i | ||||
\(92\) | 7.09181 | − | 8.34912i | 0.739372 | − | 0.870456i | ||||
\(93\) | 6.92569 | + | 8.15355i | 0.718160 | + | 0.845484i | ||||
\(94\) | −1.02233 | + | 6.23595i | −0.105446 | + | 0.643190i | ||||
\(95\) | 3.59692 | + | 6.78452i | 0.369037 | + | 0.696077i | ||||
\(96\) | 5.62096 | − | 1.23727i | 0.573686 | − | 0.126278i | ||||
\(97\) | −16.3035 | + | 5.49329i | −1.65537 | + | 0.557759i | −0.983183 | − | 0.182622i | \(-0.941542\pi\) |
−0.672187 | + | 0.740381i | \(0.734645\pi\) | |||||||
\(98\) | −0.221940 | + | 4.09345i | −0.0224194 | + | 0.413501i | ||||
\(99\) | 3.31913 | + | 2.52314i | 0.333585 | + | 0.253585i | ||||
\(100\) | −1.10691 | + | 2.08785i | −0.110691 | + | 0.208785i | ||||
\(101\) | −2.36559 | + | 8.52008i | −0.235385 | + | 0.847780i | 0.747608 | + | 0.664140i | \(0.231202\pi\) |
−0.982993 | + | 0.183640i | \(0.941212\pi\) | |||||||
\(102\) | 1.87169 | − | 1.77296i | 0.185325 | − | 0.175549i | ||||
\(103\) | −4.98336 | + | 12.5073i | −0.491025 | + | 1.23238i | 0.449691 | + | 0.893184i | \(0.351534\pi\) |
−0.940716 | + | 0.339196i | \(0.889845\pi\) | |||||||
\(104\) | −9.97579 | − | 3.36124i | −0.978207 | − | 0.329596i | ||||
\(105\) | 2.30912 | + | 0.251132i | 0.225347 | + | 0.0245080i | ||||
\(106\) | 1.31228 | − | 0.607125i | 0.127460 | − | 0.0589692i | ||||
\(107\) | −4.91399 | − | 4.65478i | −0.475053 | − | 0.449995i | 0.412325 | − | 0.911037i | \(-0.364717\pi\) |
−0.887378 | + | 0.461042i | \(0.847476\pi\) | |||||||
\(108\) | 1.33570 | − | 0.803664i | 0.128528 | − | 0.0773326i | ||||
\(109\) | 7.03889 | − | 0.765526i | 0.674204 | − | 0.0733241i | 0.235388 | − | 0.971901i | \(-0.424364\pi\) |
0.438815 | + | 0.898577i | \(0.355398\pi\) | |||||||
\(110\) | 6.90360 | + | 1.51960i | 0.658233 | + | 0.144888i | ||||
\(111\) | −0.827506 | − | 2.98041i | −0.0785434 | − | 0.282888i | ||||
\(112\) | 1.20667 | + | 0.726032i | 0.114020 | + | 0.0686035i | ||||
\(113\) | 1.00476 | + | 0.464854i | 0.0945203 | + | 0.0437298i | 0.466580 | − | 0.884479i | \(-0.345486\pi\) |
−0.372059 | + | 0.928209i | \(0.621348\pi\) | |||||||
\(114\) | −0.739573 | − | 1.85619i | −0.0692674 | − | 0.173848i | ||||
\(115\) | −0.971162 | − | 17.9120i | −0.0905613 | − | 1.67030i | ||||
\(116\) | −1.24541 | + | 1.83684i | −0.115633 | + | 0.170546i | ||||
\(117\) | −4.45338 | −0.411715 | ||||||||
\(118\) | −4.16022 | + | 2.95317i | −0.382979 | + | 0.271862i | ||||
\(119\) | 3.53193 | 0.323771 | ||||||||
\(120\) | 3.38614 | − | 4.99418i | 0.309111 | − | 0.455904i | ||||
\(121\) | 0.345562 | + | 6.37351i | 0.0314147 | + | 0.579410i | ||||
\(122\) | −0.261881 | − | 0.657271i | −0.0237096 | − | 0.0595066i | ||||
\(123\) | −0.0616504 | − | 0.0285225i | −0.00555883 | − | 0.00257179i | ||||
\(124\) | 14.2892 | + | 8.59753i | 1.28321 | + | 0.772081i | ||||
\(125\) | −2.37926 | − | 8.56933i | −0.212808 | − | 0.766464i | ||||
\(126\) | −0.590251 | − | 0.129924i | −0.0525837 | − | 0.0115746i | ||||
\(127\) | −12.3180 | + | 1.33967i | −1.09305 | + | 0.118876i | −0.636839 | − | 0.770997i | \(-0.719758\pi\) |
−0.456209 | + | 0.889873i | \(0.650793\pi\) | |||||||
\(128\) | 9.44925 | − | 5.68543i | 0.835204 | − | 0.502525i | ||||
\(129\) | −5.79940 | − | 5.49349i | −0.510609 | − | 0.483675i | ||||
\(130\) | −6.85270 | + | 3.17040i | −0.601022 | + | 0.278062i | ||||
\(131\) | −0.919938 | − | 0.100049i | −0.0803753 | − | 0.00874134i | 0.0678430 | − | 0.997696i | \(-0.478388\pi\) |
−0.148218 | + | 0.988955i | \(0.547354\pi\) | |||||||
\(132\) | 6.15901 | + | 2.07521i | 0.536073 | + | 0.180624i | ||||
\(133\) | 1.01319 | − | 2.54292i | 0.0878550 | − | 0.220499i | ||||
\(134\) | −0.339330 | + | 0.321431i | −0.0293137 | + | 0.0277674i | ||||
\(135\) | 0.682903 | − | 2.45959i | 0.0587749 | − | 0.211688i | ||||
\(136\) | 4.29768 | − | 8.10628i | 0.368523 | − | 0.695107i | ||||
\(137\) | 0.702087 | + | 0.533713i | 0.0599834 | + | 0.0455982i | 0.634736 | − | 0.772729i | \(-0.281109\pi\) |
−0.574753 | + | 0.818327i | \(0.694902\pi\) | |||||||
\(138\) | −0.252698 | + | 4.66075i | −0.0215111 | + | 0.396749i | ||||
\(139\) | −6.37668 | + | 2.14855i | −0.540863 | + | 0.182238i | −0.576456 | − | 0.817128i | \(-0.695565\pi\) |
0.0355928 | + | 0.999366i | \(0.488668\pi\) | |||||||
\(140\) | 3.53611 | − | 0.778358i | 0.298856 | − | 0.0657832i | ||||
\(141\) | 4.45643 | + | 8.40571i | 0.375299 | + | 0.707889i | ||||
\(142\) | 0.827125 | − | 5.04524i | 0.0694108 | − | 0.423387i | ||||
\(143\) | −12.0203 | − | 14.1514i | −1.00519 | − | 1.18340i | ||||
\(144\) | 1.00192 | − | 1.17955i | 0.0834935 | − | 0.0982962i | ||||
\(145\) | 0.587925 | + | 3.58619i | 0.0488245 | + | 0.297816i | ||||
\(146\) | 4.88382 | − | 3.71258i | 0.404188 | − | 0.307256i | ||||
\(147\) | 3.46366 | + | 5.10851i | 0.285678 | + | 0.421343i | ||||
\(148\) | −2.70589 | − | 3.99088i | −0.222422 | − | 0.328048i | ||||
\(149\) | 12.0131 | − | 9.13212i | 0.984151 | − | 0.748132i | 0.0163545 | − | 0.999866i | \(-0.494794\pi\) |
0.967796 | + | 0.251734i | \(0.0810009\pi\) | |||||||
\(150\) | −0.162899 | − | 0.993638i | −0.0133006 | − | 0.0811302i | ||||
\(151\) | −12.2160 | + | 14.3818i | −0.994126 | + | 1.17038i | −0.00875294 | + | 0.999962i | \(0.502786\pi\) |
−0.985373 | + | 0.170413i | \(0.945490\pi\) | |||||||
\(152\) | −4.60351 | − | 5.41967i | −0.373394 | − | 0.439593i | ||||
\(153\) | 0.627959 | − | 3.83038i | 0.0507675 | − | 0.309668i | ||||
\(154\) | −1.18031 | − | 2.22630i | −0.0951121 | − | 0.179401i | ||||
\(155\) | 26.6695 | − | 5.87039i | 2.14214 | − | 0.471521i | ||||
\(156\) | −6.57870 | + | 2.21662i | −0.526717 | + | 0.177472i | ||||
\(157\) | 1.11469 | − | 20.5593i | 0.0889622 | − | 1.64081i | −0.524732 | − | 0.851267i | \(-0.675835\pi\) |
0.613695 | − | 0.789544i | \(-0.289683\pi\) | |||||||
\(158\) | 7.93483 | + | 6.03190i | 0.631261 | + | 0.479872i | ||||
\(159\) | 1.01969 | − | 1.92334i | 0.0808667 | − | 0.152531i | ||||
\(160\) | 3.93046 | − | 14.1562i | 0.310730 | − | 1.11915i | ||||
\(161\) | −4.64235 | + | 4.39746i | −0.365868 | + | 0.346569i | ||||
\(162\) | −0.245846 | + | 0.617028i | −0.0193155 | + | 0.0484783i | ||||
\(163\) | −10.8030 | − | 3.63995i | −0.846155 | − | 0.285103i | −0.137364 | − | 0.990521i | \(-0.543863\pi\) |
−0.708792 | + | 0.705418i | \(0.750759\pi\) | |||||||
\(164\) | −0.105269 | − | 0.0114487i | −0.00822013 | − | 0.000893993i | ||||
\(165\) | 9.65901 | − | 4.46873i | 0.751953 | − | 0.347890i | ||||
\(166\) | −2.72542 | − | 2.58165i | −0.211533 | − | 0.200375i | ||||
\(167\) | −19.6209 | + | 11.8055i | −1.51831 | + | 0.913539i | −0.520080 | + | 0.854118i | \(0.674098\pi\) |
−0.998233 | + | 0.0594211i | \(0.981075\pi\) | |||||||
\(168\) | −2.13828 | + | 0.232552i | −0.164972 | + | 0.0179418i | ||||
\(169\) | 6.67287 | + | 1.46881i | 0.513298 | + | 0.112985i | ||||
\(170\) | −1.76060 | − | 6.34110i | −0.135032 | − | 0.486340i | ||||
\(171\) | −2.57766 | − | 1.55093i | −0.197119 | − | 0.118602i | ||||
\(172\) | −11.3014 | − | 5.22859i | −0.861724 | − | 0.398676i | ||||
\(173\) | −2.03704 | − | 5.11258i | −0.154873 | − | 0.388702i | 0.830983 | − | 0.556298i | \(-0.187779\pi\) |
−0.985856 | + | 0.167596i | \(0.946399\pi\) | |||||||
\(174\) | −0.0511932 | − | 0.944203i | −0.00388095 | − | 0.0715798i | ||||
\(175\) | 0.774116 | − | 1.14173i | 0.0585176 | − | 0.0863070i | ||||
\(176\) | 6.45255 | 0.486379 | ||||||||
\(177\) | −2.29560 | + | 7.33009i | −0.172548 | + | 0.550963i | ||||
\(178\) | −2.32042 | −0.173923 | ||||||||
\(179\) | 0.551635 | − | 0.813601i | 0.0412311 | − | 0.0608114i | −0.806515 | − | 0.591214i | \(-0.798649\pi\) |
0.847746 | + | 0.530403i | \(0.177959\pi\) | |||||||
\(180\) | −0.215426 | − | 3.97331i | −0.0160569 | − | 0.296153i | ||||
\(181\) | 5.77604 | + | 14.4968i | 0.429330 | + | 1.07754i | 0.971452 | + | 0.237237i | \(0.0762418\pi\) |
−0.542122 | + | 0.840300i | \(0.682379\pi\) | |||||||
\(182\) | 2.44278 | + | 1.13015i | 0.181071 | + | 0.0837722i | ||||
\(183\) | −0.912743 | − | 0.549179i | −0.0674719 | − | 0.0405965i | ||||
\(184\) | 4.44396 | + | 16.0057i | 0.327613 | + | 1.17996i | ||||
\(185\) | −7.71110 | − | 1.69734i | −0.566931 | − | 0.124791i | ||||
\(186\) | −7.06392 | + | 0.768248i | −0.517952 | + | 0.0563307i | ||||
\(187\) | 13.8666 | − | 8.34326i | 1.01403 | − | 0.610120i | ||||
\(188\) | 10.7670 | + | 10.1991i | 0.785268 | + | 0.743845i | ||||
\(189\) | −0.825836 | + | 0.382072i | −0.0600707 | + | 0.0277917i | ||||
\(190\) | −5.07053 | − | 0.551453i | −0.367855 | − | 0.0400066i | ||||
\(191\) | −10.4947 | − | 3.53608i | −0.759371 | − | 0.255862i | −0.0871326 | − | 0.996197i | \(-0.527770\pi\) |
−0.672238 | + | 0.740335i | \(0.734667\pi\) | |||||||
\(192\) | −0.269290 | + | 0.675866i | −0.0194343 | + | 0.0487765i | ||||
\(193\) | 7.14502 | − | 6.76812i | 0.514310 | − | 0.487180i | −0.385958 | − | 0.922516i | \(-0.626129\pi\) |
0.900268 | + | 0.435336i | \(0.143371\pi\) | |||||||
\(194\) | 3.05704 | − | 11.0105i | 0.219483 | − | 0.790506i | ||||
\(195\) | −5.32481 | + | 10.0437i | −0.381317 | + | 0.719241i | ||||
\(196\) | 7.65934 | + | 5.82248i | 0.547096 | + | 0.415891i | ||||
\(197\) | −1.06776 | + | 19.6936i | −0.0760746 | + | 1.40311i | 0.672517 | + | 0.740082i | \(0.265213\pi\) |
−0.748591 | + | 0.663032i | \(0.769269\pi\) | |||||||
\(198\) | −2.62428 | + | 0.884223i | −0.186499 | + | 0.0628390i | ||||
\(199\) | 20.1837 | − | 4.44278i | 1.43079 | − | 0.314940i | 0.569054 | − | 0.822300i | \(-0.307310\pi\) |
0.861734 | + | 0.507360i | \(0.169379\pi\) | |||||||
\(200\) | −1.67849 | − | 3.16598i | −0.118687 | − | 0.223868i | ||||
\(201\) | −0.113846 | + | 0.694432i | −0.00803010 | + | 0.0489814i | ||||
\(202\) | −3.80218 | − | 4.47628i | −0.267521 | − | 0.314950i | ||||
\(203\) | 0.838643 | − | 0.987327i | 0.0588612 | − | 0.0692968i | ||||
\(204\) | −0.978885 | − | 5.97093i | −0.0685356 | − | 0.418049i | ||||
\(205\) | −0.138040 | + | 0.104936i | −0.00964117 | + | 0.00732902i | ||||
\(206\) | −5.01841 | − | 7.40160i | −0.349649 | − | 0.515694i | ||||
\(207\) | 3.94367 | + | 5.81648i | 0.274104 | + | 0.404273i | ||||
\(208\) | −5.48687 | + | 4.17101i | −0.380446 | + | 0.289207i | ||||
\(209\) | −2.02912 | − | 12.3771i | −0.140357 | − | 0.856142i | ||||
\(210\) | −0.998765 | + | 1.17584i | −0.0689214 | + | 0.0811405i | ||||
\(211\) | −7.46021 | − | 8.78284i | −0.513582 | − | 0.604635i | 0.442848 | − | 0.896597i | \(-0.353968\pi\) |
−0.956430 | + | 0.291961i | \(0.905692\pi\) | |||||||
\(212\) | 0.549002 | − | 3.34877i | 0.0377056 | − | 0.229994i | ||||
\(213\) | −3.60550 | − | 6.80069i | −0.247045 | − | 0.465976i | ||||
\(214\) | 4.39062 | − | 0.966449i | 0.300137 | − | 0.0660651i | ||||
\(215\) | −19.3236 | + | 6.51088i | −1.31786 | + | 0.444038i | ||||
\(216\) | −0.127973 | + | 2.36032i | −0.00870744 | + | 0.160599i | ||||
\(217\) | −7.74951 | − | 5.89102i | −0.526071 | − | 0.399909i | ||||
\(218\) | −2.20284 | + | 4.15499i | −0.149195 | + | 0.281412i | ||||
\(219\) | 2.47096 | − | 8.89959i | 0.166972 | − | 0.601379i | ||||
\(220\) | 12.0444 | − | 11.4090i | 0.812032 | − | 0.769197i | ||||
\(221\) | −6.39816 | + | 16.0582i | −0.430387 | + | 1.08019i | ||||
\(222\) | 1.94693 | + | 0.655998i | 0.130669 | + | 0.0440277i | ||||
\(223\) | 7.83637 | + | 0.852256i | 0.524762 | + | 0.0570713i | 0.366666 | − | 0.930352i | \(-0.380499\pi\) |
0.158096 | + | 0.987424i | \(0.449465\pi\) | |||||||
\(224\) | −4.75311 | + | 2.19902i | −0.317581 | + | 0.146928i | ||||
\(225\) | −1.10058 | − | 1.04252i | −0.0733719 | − | 0.0695016i | ||||
\(226\) | −0.630072 | + | 0.379102i | −0.0419118 | + | 0.0252175i | ||||
\(227\) | −16.0806 | + | 1.74887i | −1.06731 | + | 0.116077i | −0.624874 | − | 0.780725i | \(-0.714850\pi\) |
−0.442432 | + | 0.896802i | \(0.645884\pi\) | |||||||
\(228\) | −4.57977 | − | 1.00808i | −0.303303 | − | 0.0667620i | ||||
\(229\) | 3.77999 | + | 13.6143i | 0.249788 | + | 0.899657i | 0.976999 | + | 0.213243i | \(0.0684025\pi\) |
−0.727211 | + | 0.686414i | \(0.759184\pi\) | |||||||
\(230\) | 10.2092 | + | 6.14265i | 0.673173 | + | 0.405035i | ||||
\(231\) | −3.44314 | − | 1.59296i | −0.226542 | − | 0.104809i | ||||
\(232\) | −1.24559 | − | 3.12619i | −0.0817769 | − | 0.205245i | ||||
\(233\) | −0.731192 | − | 13.4861i | −0.0479020 | − | 0.883501i | −0.919454 | − | 0.393197i | \(-0.871369\pi\) |
0.871552 | − | 0.490303i | \(-0.163114\pi\) | |||||||
\(234\) | 1.65996 | − | 2.44826i | 0.108515 | − | 0.160048i | ||||
\(235\) | 24.2857 | 1.58423 | ||||||||
\(236\) | 0.257333 | + | 11.9709i | 0.0167509 | + | 0.779238i | ||||
\(237\) | 15.0063 | 0.974764 | ||||||||
\(238\) | −1.31650 | + | 1.94169i | −0.0853357 | + | 0.125861i | ||||
\(239\) | 1.08677 | + | 20.0443i | 0.0702974 | + | 1.29656i | 0.794624 | + | 0.607102i | \(0.207668\pi\) |
−0.724326 | + | 0.689457i | \(0.757849\pi\) | |||||||
\(240\) | −1.46226 | − | 3.66999i | −0.0943883 | − | 0.236897i | ||||
\(241\) | −15.7474 | − | 7.28554i | −1.01438 | − | 0.469303i | −0.158987 | − | 0.987281i | \(-0.550823\pi\) |
−0.855394 | + | 0.517978i | \(0.826685\pi\) | |||||||
\(242\) | −3.63266 | − | 2.18570i | −0.233516 | − | 0.140502i | ||||
\(243\) | 0.267528 | + | 0.963550i | 0.0171620 | + | 0.0618118i | ||||
\(244\) | −1.62168 | − | 0.356960i | −0.103818 | − | 0.0228520i | ||||
\(245\) | 15.6626 | − | 1.70341i | 1.00064 | − | 0.108827i | ||||
\(246\) | 0.0386600 | − | 0.0232610i | 0.00246487 | − | 0.00148306i | ||||
\(247\) | 9.72616 | + | 9.21311i | 0.618861 | + | 0.586216i | ||||
\(248\) | −22.9504 | + | 10.6180i | −1.45735 | + | 0.674242i | ||||
\(249\) | −5.61883 | − | 0.611085i | −0.356079 | − | 0.0387259i | ||||
\(250\) | 5.59786 | + | 1.88614i | 0.354040 | + | 0.119290i | ||||
\(251\) | −1.57821 | + | 3.96102i | −0.0996159 | + | 0.250017i | −0.970335 | − | 0.241763i | \(-0.922274\pi\) |
0.870719 | + | 0.491780i | \(0.163654\pi\) | |||||||
\(252\) | −1.02978 | + | 0.975461i | −0.0648702 | + | 0.0614483i | ||||
\(253\) | −7.83833 | + | 28.2311i | −0.492791 | + | 1.77487i | ||||
\(254\) | 3.85495 | − | 7.27121i | 0.241881 | − | 0.456236i | ||||
\(255\) | −7.88776 | − | 5.99612i | −0.493951 | − | 0.375492i | ||||
\(256\) | −0.475327 | + | 8.76688i | −0.0297079 | + | 0.547930i | ||||
\(257\) | 18.9217 | − | 6.37546i | 1.18030 | − | 0.397690i | 0.340324 | − | 0.940308i | \(-0.389463\pi\) |
0.839980 | + | 0.542618i | \(0.182567\pi\) | |||||||
\(258\) | 5.18174 | − | 1.14059i | 0.322601 | − | 0.0710098i | ||||
\(259\) | 1.31837 | + | 2.48671i | 0.0819194 | + | 0.154516i | ||||
\(260\) | −2.86688 | + | 17.4872i | −0.177796 | + | 1.08451i | ||||
\(261\) | −0.921650 | − | 1.08505i | −0.0570487 | − | 0.0671630i | ||||
\(262\) | 0.397901 | − | 0.468445i | 0.0245824 | − | 0.0289407i | ||||
\(263\) | 3.68563 | + | 22.4814i | 0.227266 | + | 1.38626i | 0.816056 | + | 0.577973i | \(0.196156\pi\) |
−0.588790 | + | 0.808286i | \(0.700395\pi\) | |||||||
\(264\) | −7.84572 | + | 5.96416i | −0.482870 | + | 0.367069i | ||||
\(265\) | −3.11846 | − | 4.59939i | −0.191566 | − | 0.282538i | ||||
\(266\) | 1.02032 | + | 1.50486i | 0.0625598 | + | 0.0922688i | ||||
\(267\) | −2.78119 | + | 2.11420i | −0.170206 | + | 0.129387i | ||||
\(268\) | 0.177468 | + | 1.08251i | 0.0108406 | + | 0.0661245i | ||||
\(269\) | 10.9915 | − | 12.9402i | 0.670164 | − | 0.788978i | −0.317045 | − | 0.948410i | \(-0.602691\pi\) |
0.987209 | + | 0.159433i | \(0.0509665\pi\) | |||||||
\(270\) | 1.09762 | + | 1.29222i | 0.0667991 | + | 0.0786420i | ||||
\(271\) | 1.87945 | − | 11.4642i | 0.114169 | − | 0.696398i | −0.866270 | − | 0.499575i | \(-0.833489\pi\) |
0.980439 | − | 0.196823i | \(-0.0630624\pi\) | |||||||
\(272\) | −2.81382 | − | 5.30743i | −0.170613 | − | 0.321810i | ||||
\(273\) | 3.95755 | − | 0.871123i | 0.239522 | − | 0.0527228i | ||||
\(274\) | −0.555107 | + | 0.187037i | −0.0335352 | + | 0.0112993i | ||||
\(275\) | 0.342182 | − | 6.31118i | 0.0206344 | − | 0.380579i | ||||
\(276\) | 8.72082 | + | 6.62939i | 0.524931 | + | 0.399043i | ||||
\(277\) | −2.10315 | + | 3.96695i | −0.126366 | + | 0.238351i | −0.938620 | − | 0.344952i | \(-0.887895\pi\) |
0.812255 | + | 0.583303i | \(0.198240\pi\) | |||||||
\(278\) | 1.19568 | − | 4.30645i | 0.0717121 | − | 0.258284i | ||||
\(279\) | −7.76664 | + | 7.35695i | −0.464977 | + | 0.440449i | ||||
\(280\) | −2.03223 | + | 5.10050i | −0.121449 | + | 0.304813i | ||||
\(281\) | 22.5893 | + | 7.61121i | 1.34756 | + | 0.454047i | 0.898312 | − | 0.439359i | \(-0.144794\pi\) |
0.449251 | + | 0.893406i | \(0.351691\pi\) | |||||||
\(282\) | −6.28216 | − | 0.683226i | −0.374097 | − | 0.0406855i | ||||
\(283\) | −8.65856 | + | 4.00588i | −0.514698 | + | 0.238125i | −0.660004 | − | 0.751262i | \(-0.729445\pi\) |
0.145306 | + | 0.989387i | \(0.453583\pi\) | |||||||
\(284\) | −8.71114 | − | 8.25163i | −0.516911 | − | 0.489644i | ||||
\(285\) | −6.57984 | + | 3.95896i | −0.389756 | + | 0.234508i | ||||
\(286\) | 12.2602 | − | 1.33338i | 0.724960 | − | 0.0788442i | ||||
\(287\) | 0.0603657 | + | 0.0132875i | 0.00356327 | + | 0.000784336i | ||||
\(288\) | 1.53976 | + | 5.54573i | 0.0907314 | + | 0.326785i | ||||
\(289\) | 1.65704 | + | 0.997011i | 0.0974732 | + | 0.0586477i | ||||
\(290\) | −2.19066 | − | 1.01351i | −0.128640 | − | 0.0595151i | ||||
\(291\) | −6.36789 | − | 15.9822i | −0.373292 | − | 0.936893i | ||||
\(292\) | −0.779482 | − | 14.3767i | −0.0456157 | − | 0.841332i | ||||
\(293\) | −11.6713 | + | 17.2138i | −0.681842 | + | 1.00564i | 0.316528 | + | 0.948583i | \(0.397483\pi\) |
−0.998371 | + | 0.0570593i | \(0.981828\pi\) | |||||||
\(294\) | −4.09946 | −0.239086 | ||||||||
\(295\) | 13.7867 | + | 13.9416i | 0.802690 | + | 0.811714i | ||||
\(296\) | 7.31155 | 0.424975 | ||||||||
\(297\) | −2.33974 | + | 3.45086i | −0.135766 | + | 0.200239i | ||||
\(298\) | 0.542626 | + | 10.0081i | 0.0314335 | + | 0.579756i | ||||
\(299\) | −11.5837 | − | 29.0729i | −0.669902 | − | 1.68133i | ||||
\(300\) | −2.14472 | − | 0.992253i | −0.123825 | − | 0.0572877i | ||||
\(301\) | 6.22829 | + | 3.74744i | 0.358993 | + | 0.215999i | ||||
\(302\) | −3.35302 | − | 12.0765i | −0.192945 | − | 0.694923i | ||||
\(303\) | −8.63566 | − | 1.90085i | −0.496106 | − | 0.109201i | ||||
\(304\) | −4.62844 | + | 0.503373i | −0.265459 | + | 0.0288704i | ||||
\(305\) | −2.32990 | + | 1.40186i | −0.133410 | + | 0.0802700i | ||||
\(306\) | 1.87169 | + | 1.77296i | 0.106998 | + | 0.101354i | ||||
\(307\) | 28.5011 | − | 13.1860i | 1.62664 | − | 0.752565i | 0.626992 | − | 0.779025i | \(-0.284286\pi\) |
0.999650 | + | 0.0264606i | \(0.00842365\pi\) | |||||||
\(308\) | −5.87921 | − | 0.639402i | −0.334999 | − | 0.0364333i | ||||
\(309\) | −12.7587 | − | 4.29892i | −0.725819 | − | 0.244557i | ||||
\(310\) | −6.71355 | + | 16.8497i | −0.381304 | + | 0.957001i | ||||
\(311\) | −6.31969 | + | 5.98633i | −0.358357 | + | 0.339454i | −0.845604 | − | 0.533810i | \(-0.820760\pi\) |
0.487247 | + | 0.873264i | \(0.338001\pi\) | |||||||
\(312\) | 2.81623 | − | 10.1431i | 0.159437 | − | 0.574242i | ||||
\(313\) | −7.02194 | + | 13.2448i | −0.396903 | + | 0.748639i | −0.998751 | − | 0.0499720i | \(-0.984087\pi\) |
0.601847 | + | 0.798611i | \(0.294432\pi\) | |||||||
\(314\) | 10.8870 | + | 8.27611i | 0.614391 | + | 0.467048i | ||||
\(315\) | −0.125750 | + | 2.31933i | −0.00708523 | + | 0.130679i | ||||
\(316\) | 22.1679 | − | 7.46922i | 1.24704 | − | 0.420177i | ||||
\(317\) | 28.4055 | − | 6.25253i | 1.59541 | − | 0.351177i | 0.673687 | − | 0.739017i | \(-0.264710\pi\) |
0.921727 | + | 0.387839i | \(0.126778\pi\) | |||||||
\(318\) | 0.677280 | + | 1.27749i | 0.0379800 | + | 0.0716378i | ||||
\(319\) | 0.960271 | − | 5.85739i | 0.0537648 | − | 0.327951i | ||||
\(320\) | 1.20229 | + | 1.41544i | 0.0672100 | + | 0.0791257i | ||||
\(321\) | 4.38191 | − | 5.15879i | 0.244575 | − | 0.287936i | ||||
\(322\) | −0.687122 | − | 4.19126i | −0.0382918 | − | 0.233570i | ||||
\(323\) | −9.29570 | + | 7.06641i | −0.517227 | + | 0.393186i | ||||
\(324\) | 0.874799 | + | 1.29023i | 0.0485999 | + | 0.0716795i | ||||
\(325\) | 3.78865 | + | 5.58785i | 0.210157 | + | 0.309958i | ||||
\(326\) | 6.02779 | − | 4.58221i | 0.333849 | − | 0.253785i | ||||
\(327\) | 1.14548 | + | 6.98713i | 0.0633453 | + | 0.386389i | ||||
\(328\) | 0.103950 | − | 0.122380i | 0.00573968 | − | 0.00675728i | ||||
\(329\) | −5.60450 | − | 6.59812i | −0.308986 | − | 0.363766i | ||||
\(330\) | −1.14362 | + | 6.97575i | −0.0629540 | + | 0.384002i | ||||
\(331\) | −11.7667 | − | 22.1943i | −0.646754 | − | 1.21991i | −0.962556 | − | 0.271083i | \(-0.912618\pi\) |
0.315802 | − | 0.948825i | \(-0.397727\pi\) | |||||||
\(332\) | −8.60450 | + | 1.89399i | −0.472233 | + | 0.103946i | ||||
\(333\) | 2.93124 | − | 0.987648i | 0.160631 | − | 0.0541228i | ||||
\(334\) | 0.823418 | − | 15.1871i | 0.0450555 | − | 0.830999i | ||||
\(335\) | 1.43002 | + | 1.08707i | 0.0781303 | + | 0.0593931i | ||||
\(336\) | −0.659639 | + | 1.24421i | −0.0359862 | + | 0.0678773i | ||||
\(337\) | −2.47223 | + | 8.90415i | −0.134671 | + | 0.485040i | −0.999866 | − | 0.0163957i | \(-0.994781\pi\) |
0.865195 | + | 0.501436i | \(0.167195\pi\) | |||||||
\(338\) | −3.29474 | + | 3.12094i | −0.179210 | + | 0.169757i | ||||
\(339\) | −0.409775 | + | 1.02846i | −0.0222559 | + | 0.0558582i | ||||
\(340\) | −14.6366 | − | 4.93164i | −0.793781 | − | 0.267456i | ||||
\(341\) | −44.3411 | − | 4.82239i | −2.40121 | − | 0.261147i | ||||
\(342\) | 1.81343 | − | 0.838981i | 0.0980589 | − | 0.0453669i | ||||
\(343\) | −8.70156 | − | 8.24255i | −0.469840 | − | 0.445056i | ||||
\(344\) | 16.1795 | − | 9.73490i | 0.872342 | − | 0.524871i | ||||
\(345\) | 17.8332 | − | 1.93947i | 0.960106 | − | 0.104418i | ||||
\(346\) | 3.56994 | + | 0.785803i | 0.191921 | + | 0.0422450i | ||||
\(347\) | −0.159628 | − | 0.574928i | −0.00856927 | − | 0.0308637i | 0.959142 | − | 0.282926i | \(-0.0913051\pi\) |
−0.967711 | + | 0.252062i | \(0.918891\pi\) | |||||||
\(348\) | −1.90157 | − | 1.14413i | −0.101935 | − | 0.0613321i | ||||
\(349\) | 32.6847 | + | 15.1216i | 1.74957 | + | 0.809439i | 0.986630 | + | 0.162975i | \(0.0521088\pi\) |
0.762944 | + | 0.646465i | \(0.223753\pi\) | |||||||
\(350\) | 0.339127 | + | 0.851144i | 0.0181271 | + | 0.0454955i | ||||
\(351\) | −0.241101 | − | 4.44685i | −0.0128690 | − | 0.237355i | ||||
\(352\) | −13.4664 | + | 19.8615i | −0.717764 | + | 1.05862i | ||||
\(353\) | 25.2212 | 1.34239 | 0.671194 | − | 0.741282i | \(-0.265782\pi\) | ||||
0.671194 | + | 0.741282i | \(0.265782\pi\) | |||||||
\(354\) | −3.17407 | − | 3.99424i | −0.168700 | − | 0.212291i | ||||
\(355\) | −19.6485 | −1.04284 | ||||||||
\(356\) | −3.05615 | + | 4.50748i | −0.161976 | + | 0.238896i | ||||
\(357\) | 0.191215 | + | 3.52675i | 0.0101202 | + | 0.186655i | ||||
\(358\) | 0.241662 | + | 0.606525i | 0.0127722 | + | 0.0320559i | ||||
\(359\) | −7.78263 | − | 3.60063i | −0.410751 | − | 0.190034i | 0.203621 | − | 0.979050i | \(-0.434729\pi\) |
−0.614373 | + | 0.789016i | \(0.710591\pi\) | |||||||
\(360\) | 5.17018 | + | 3.11079i | 0.272492 | + | 0.163953i | ||||
\(361\) | −2.66198 | − | 9.58760i | −0.140104 | − | 0.504610i | ||||
\(362\) | −10.1226 | − | 2.22815i | −0.532032 | − | 0.117109i | ||||
\(363\) | −6.34545 | + | 0.690110i | −0.333050 | + | 0.0362214i | ||||
\(364\) | 5.41265 | − | 3.25668i | 0.283700 | − | 0.170697i | ||||
\(365\) | −17.1167 | − | 16.2138i | −0.895927 | − | 0.848667i | ||||
\(366\) | 0.642130 | − | 0.297081i | 0.0335646 | − | 0.0155287i | ||||
\(367\) | −7.75104 | − | 0.842977i | −0.404601 | − | 0.0440030i | −0.0964438 | − | 0.995338i | \(-0.530747\pi\) |
−0.308157 | + | 0.951335i | \(0.599712\pi\) | |||||||
\(368\) | 10.3065 | + | 3.47268i | 0.537266 | + | 0.181026i | ||||
\(369\) | 0.0251430 | − | 0.0631042i | 0.00130889 | − | 0.00328507i | ||||
\(370\) | 3.80736 | − | 3.60653i | 0.197935 | − | 0.187494i | ||||
\(371\) | −0.529937 | + | 1.90866i | −0.0275130 | + | 0.0990927i | ||||
\(372\) | −7.81132 | + | 14.7337i | −0.404998 | + | 0.763908i | ||||
\(373\) | −3.68182 | − | 2.79885i | −0.190638 | − | 0.144919i | 0.505502 | − | 0.862825i | \(-0.331307\pi\) |
−0.696139 | + | 0.717907i | \(0.745100\pi\) | |||||||
\(374\) | −0.581931 | + | 10.7331i | −0.0300909 | + | 0.554994i | ||||
\(375\) | 8.42795 | − | 2.83971i | 0.435217 | − | 0.146642i | ||||
\(376\) | −21.9632 | + | 4.83447i | −1.13267 | + | 0.249319i | ||||
\(377\) | 2.96973 | + | 5.60151i | 0.152949 | + | 0.288493i | ||||
\(378\) | 0.0977780 | − | 0.596419i | 0.00502916 | − | 0.0306765i | ||||
\(379\) | 6.26306 | + | 7.37345i | 0.321712 | + | 0.378749i | 0.899116 | − | 0.437710i | \(-0.144210\pi\) |
−0.577404 | + | 0.816458i | \(0.695934\pi\) | |||||||
\(380\) | −7.74945 | + | 9.12335i | −0.397538 | + | 0.468018i | ||||
\(381\) | −2.00459 | − | 12.2274i | −0.102698 | − | 0.626430i | ||||
\(382\) | 5.85578 | − | 4.45145i | 0.299608 | − | 0.227756i | ||||
\(383\) | −6.72903 | − | 9.92458i | −0.343837 | − | 0.507122i | 0.615975 | − | 0.787766i | \(-0.288762\pi\) |
−0.959812 | + | 0.280644i | \(0.909452\pi\) | |||||||
\(384\) | 6.18866 | + | 9.12759i | 0.315814 | + | 0.465790i | ||||
\(385\) | −7.70947 | + | 5.86059i | −0.392911 | + | 0.298683i | ||||
\(386\) | 1.05755 | + | 6.45075i | 0.0538277 | + | 0.328335i | ||||
\(387\) | 5.17146 | − | 6.08831i | 0.262880 | − | 0.309486i | ||||
\(388\) | −17.3618 | − | 20.4399i | −0.881414 | − | 1.03768i | ||||
\(389\) | 2.88604 | − | 17.6041i | 0.146328 | − | 0.892562i | −0.806983 | − | 0.590574i | \(-0.798901\pi\) |
0.953312 | − | 0.301988i | \(-0.0976503\pi\) | |||||||
\(390\) | −3.53675 | − | 6.67101i | −0.179090 | − | 0.337800i | ||||
\(391\) | 26.6391 | − | 5.86371i | 1.34720 | − | 0.296541i | ||||
\(392\) | −13.8256 | + | 4.65839i | −0.698299 | + | 0.235284i | ||||
\(393\) | 0.0500981 | − | 0.924005i | 0.00252712 | − | 0.0466099i | ||||
\(394\) | −10.4286 | − | 7.92764i | −0.525387 | − | 0.399389i | ||||
\(395\) | 17.9427 | − | 33.8435i | 0.902795 | − | 1.70285i | ||||
\(396\) | −1.73873 | + | 6.26232i | −0.0873742 | + | 0.314694i | ||||
\(397\) | 22.4742 | − | 21.2887i | 1.12795 | − | 1.06845i | 0.130920 | − | 0.991393i | \(-0.458207\pi\) |
0.997027 | − | 0.0770550i | \(-0.0245517\pi\) | |||||||
\(398\) | −5.08089 | + | 12.7521i | −0.254682 | + | 0.639204i | ||||
\(399\) | 2.59405 | + | 0.874036i | 0.129865 | + | 0.0437565i | ||||
\(400\) | −2.33241 | − | 0.253665i | −0.116620 | − | 0.0126832i | ||||
\(401\) | 10.5903 | − | 4.89959i | 0.528854 | − | 0.244674i | −0.137245 | − | 0.990537i | \(-0.543825\pi\) |
0.666099 | + | 0.745863i | \(0.267963\pi\) | |||||||
\(402\) | −0.339330 | − | 0.321431i | −0.0169243 | − | 0.0160315i | ||||
\(403\) | 40.8223 | − | 24.5620i | 2.03351 | − | 1.22352i | ||||
\(404\) | −13.7030 | + | 1.49029i | −0.681752 | + | 0.0741449i | ||||
\(405\) | 2.49296 | + | 0.548742i | 0.123876 | + | 0.0272672i | ||||
\(406\) | 0.230188 | + | 0.829064i | 0.0114241 | + | 0.0411457i | ||||
\(407\) | 11.0502 | + | 6.64869i | 0.547738 | + | 0.329563i | ||||
\(408\) | 8.32706 | + | 3.85251i | 0.412251 | + | 0.190728i | ||||
\(409\) | −11.3434 | − | 28.4697i | −0.560893 | − | 1.40774i | −0.886720 | − | 0.462307i | \(-0.847022\pi\) |
0.325827 | − | 0.945430i | \(-0.394357\pi\) | |||||||
\(410\) | −0.00623522 | − | 0.115002i | −0.000307936 | − | 0.00567954i | ||||
\(411\) | −0.494920 | + | 0.729952i | −0.0244126 | + | 0.0360059i | ||||
\(412\) | −20.9874 | −1.03398 | ||||||||
\(413\) | 0.606175 | − | 6.96302i | 0.0298279 | − | 0.342628i | ||||
\(414\) | −4.66759 | −0.229400 | ||||||||
\(415\) | −8.09648 | + | 11.9414i | −0.397440 | + | 0.586181i | ||||
\(416\) | −1.38766 | − | 25.5939i | −0.0680357 | − | 1.25485i | ||||
\(417\) | −2.49063 | − | 6.25101i | −0.121967 | − | 0.306113i | ||||
\(418\) | 7.56068 | + | 3.49794i | 0.369805 | + | 0.171090i | ||||
\(419\) | 14.3270 | + | 8.62029i | 0.699921 | + | 0.421129i | 0.820554 | − | 0.571568i | \(-0.193665\pi\) |
−0.120633 | + | 0.992697i | \(0.538492\pi\) | |||||||
\(420\) | 0.968658 | + | 3.48879i | 0.0472656 | + | 0.170235i | ||||
\(421\) | −22.9317 | − | 5.04764i | −1.11762 | − | 0.246007i | −0.382509 | − | 0.923952i | \(-0.624940\pi\) |
−0.735113 | + | 0.677945i | \(0.762871\pi\) | |||||||
\(422\) | 7.60911 | − | 0.827541i | 0.370406 | − | 0.0402841i | ||||
\(423\) | −8.15212 | + | 4.90497i | −0.396370 | + | 0.238488i | ||||
\(424\) | 3.73582 | + | 3.53875i | 0.181427 | + | 0.171857i | ||||
\(425\) | −5.34037 | + | 2.47072i | −0.259046 | + | 0.119847i | ||||
\(426\) | 5.08262 | + | 0.552768i | 0.246254 | + | 0.0267817i | ||||
\(427\) | 0.918545 | + | 0.309494i | 0.0444515 | + | 0.0149774i | ||||
\(428\) | 3.90539 | − | 9.80180i | 0.188774 | − | 0.473788i | ||||
\(429\) | 13.4798 | − | 12.7688i | 0.650813 | − | 0.616483i | ||||
\(430\) | 3.62333 | − | 13.0501i | 0.174733 | − | 0.629330i | ||||
\(431\) | −6.97561 | + | 13.1574i | −0.336003 | + | 0.633770i | −0.992730 | − | 0.120359i | \(-0.961596\pi\) |
0.656727 | + | 0.754128i | \(0.271940\pi\) | |||||||
\(432\) | 1.23207 | + | 0.936593i | 0.0592779 | + | 0.0450619i | ||||
\(433\) | −1.44606 | + | 26.6711i | −0.0694934 | + | 1.28173i | 0.730995 | + | 0.682382i | \(0.239056\pi\) |
−0.800489 | + | 0.599348i | \(0.795427\pi\) | |||||||
\(434\) | 6.12717 | − | 2.06448i | 0.294113 | − | 0.0990983i | ||||
\(435\) | −3.54910 | + | 0.781215i | −0.170166 | + | 0.0374564i | ||||
\(436\) | 5.16991 | + | 9.75148i | 0.247594 | + | 0.467011i | ||||
\(437\) | 3.42011 | − | 20.8618i | 0.163606 | − | 0.997954i | ||||
\(438\) | 3.97154 | + | 4.67566i | 0.189768 | + | 0.223412i | ||||
\(439\) | −13.9874 | + | 16.4672i | −0.667581 | + | 0.785937i | −0.986835 | − | 0.161732i | \(-0.948292\pi\) |
0.319254 | + | 0.947669i | \(0.396568\pi\) | |||||||
\(440\) | 4.06994 | + | 24.8255i | 0.194027 | + | 1.18351i | ||||
\(441\) | −4.91350 | + | 3.73515i | −0.233976 | + | 0.177864i | ||||
\(442\) | −6.44315 | − | 9.50294i | −0.306470 | − | 0.452009i | ||||
\(443\) | −1.79547 | − | 2.64812i | −0.0853053 | − | 0.125816i | 0.782642 | − | 0.622472i | \(-0.213871\pi\) |
−0.867948 | + | 0.496656i | \(0.834561\pi\) | |||||||
\(444\) | 3.83854 | − | 2.91798i | 0.182169 | − | 0.138481i | ||||
\(445\) | 1.44273 | + | 8.80028i | 0.0683921 | + | 0.417173i | ||||
\(446\) | −3.38947 | + | 3.99039i | −0.160496 | + | 0.188950i | ||||
\(447\) | 9.76910 | + | 11.5011i | 0.462063 | + | 0.543982i | ||||
\(448\) | 0.107102 | − | 0.653293i | 0.00506009 | − | 0.0308652i | ||||
\(449\) | −12.4073 | − | 23.4026i | −0.585535 | − | 1.10444i | −0.982440 | − | 0.186577i | \(-0.940261\pi\) |
0.396905 | − | 0.917860i | \(-0.370084\pi\) | |||||||
\(450\) | 0.983361 | − | 0.216454i | 0.0463561 | − | 0.0102037i | ||||
\(451\) | 0.268388 | − | 0.0904306i | 0.0126379 | − | 0.00425821i | ||||
\(452\) | −0.0934311 | + | 1.72324i | −0.00439463 | + | 0.0810542i | ||||
\(453\) | −15.0221 | − | 11.4195i | −0.705799 | − | 0.536534i | ||||
\(454\) | 5.03246 | − | 9.49222i | 0.236185 | − | 0.445492i | ||||
\(455\) | 2.76732 | − | 9.96699i | 0.129734 | − | 0.467260i | ||||
\(456\) | 5.16249 | − | 4.89017i | 0.241756 | − | 0.229003i | ||||
\(457\) | −8.96639 | + | 22.5039i | −0.419430 | + | 1.05269i | 0.555764 | + | 0.831340i | \(0.312426\pi\) |
−0.975194 | + | 0.221350i | \(0.928954\pi\) | |||||||
\(458\) | −8.89344 | − | 2.99655i | −0.415563 | − | 0.140020i | ||||
\(459\) | 3.85876 | + | 0.419665i | 0.180111 | + | 0.0195883i | ||||
\(460\) | 25.3785 | − | 11.7413i | 1.18328 | − | 0.547442i | ||||
\(461\) | 0.139296 | + | 0.131949i | 0.00648768 | + | 0.00614546i | 0.690936 | − | 0.722916i | \(-0.257198\pi\) |
−0.684449 | + | 0.729061i | \(0.739957\pi\) | |||||||
\(462\) | 2.15914 | − | 1.29911i | 0.100452 | − | 0.0604400i | ||||
\(463\) | 19.9813 | − | 2.17309i | 0.928608 | − | 0.100992i | 0.368701 | − | 0.929548i | \(-0.379802\pi\) |
0.559907 | + | 0.828556i | \(0.310837\pi\) | |||||||
\(464\) | −2.15179 | − | 0.473644i | −0.0998942 | − | 0.0219884i | ||||
\(465\) | 7.30564 | + | 26.3125i | 0.338791 | + | 1.22021i | ||||
\(466\) | 7.68653 | + | 4.62483i | 0.356072 | + | 0.214241i | ||||
\(467\) | 35.7688 | + | 16.5484i | 1.65518 | + | 0.765770i | 0.999946 | + | 0.0103480i | \(0.00329393\pi\) |
0.655238 | + | 0.755422i | \(0.272568\pi\) | |||||||
\(468\) | −2.56953 | − | 6.44904i | −0.118777 | − | 0.298107i | ||||
\(469\) | −0.0346664 | − | 0.639385i | −0.00160075 | − | 0.0295240i | ||||
\(470\) | −9.05230 | + | 13.3511i | −0.417551 | + | 0.615842i | ||||
\(471\) | 20.5895 | 0.948714 | ||||||||
\(472\) | −15.2435 | − | 9.86391i | −0.701639 | − | 0.454023i | ||||
\(473\) | 33.3051 | 1.53137 | ||||||||
\(474\) | −5.59347 | + | 8.24975i | −0.256917 | + | 0.378924i | ||||
\(475\) | 0.246896 | + | 4.55373i | 0.0113284 | + | 0.208940i | ||||
\(476\) | 2.03787 | + | 5.11466i | 0.0934055 | + | 0.234430i | ||||
\(477\) | 1.97572 | + | 0.914067i | 0.0904622 | + | 0.0418523i | ||||
\(478\) | −11.4245 | − | 6.87389i | −0.522545 | − | 0.314405i | ||||
\(479\) | 10.3136 | + | 37.1463i | 0.471242 | + | 1.69726i | 0.691972 | + | 0.721924i | \(0.256742\pi\) |
−0.220731 | + | 0.975335i | \(0.570844\pi\) | |||||||
\(480\) | 14.3483 | + | 3.15829i | 0.654906 | + | 0.144156i | ||||
\(481\) | −13.6942 | + | 1.48934i | −0.624404 | + | 0.0679080i | ||||
\(482\) | 9.87496 | − | 5.94157i | 0.449792 | − | 0.270631i | ||||
\(483\) | −4.64235 | − | 4.39746i | −0.211234 | − | 0.200092i | ||||
\(484\) | −9.03024 | + | 4.17783i | −0.410465 | + | 0.189902i | ||||
\(485\) | −43.6584 | − | 4.74813i | −1.98242 | − | 0.215602i | ||||
\(486\) | −0.629433 | − | 0.212081i | −0.0285517 | − | 0.00962017i | ||||
\(487\) | −10.9696 | + | 27.5317i | −0.497081 | + | 1.24758i | 0.439852 | + | 0.898070i | \(0.355031\pi\) |
−0.936933 | + | 0.349509i | \(0.886348\pi\) | |||||||
\(488\) | 1.82802 | − | 1.73160i | 0.0827507 | − | 0.0783857i | ||||
\(489\) | 3.04975 | − | 10.9842i | 0.137914 | − | 0.496723i | ||||
\(490\) | −4.90163 | + | 9.24546i | −0.221433 | + | 0.417667i | ||||
\(491\) | 28.2061 | + | 21.4417i | 1.27292 | + | 0.967652i | 0.999984 | + | 0.00562111i | \(0.00178926\pi\) |
0.272940 | + | 0.962031i | \(0.412004\pi\) | |||||||
\(492\) | 0.00573276 | − | 0.105734i | 0.000258453 | − | 0.00476688i | ||||
\(493\) | −5.23664 | + | 1.76443i | −0.235847 | + | 0.0794660i | ||||
\(494\) | −8.69027 | + | 1.91287i | −0.390994 | + | 0.0860642i | ||||
\(495\) | 4.98511 | + | 9.40291i | 0.224064 | + | 0.422629i | ||||
\(496\) | −2.67855 | + | 16.3384i | −0.120271 | + | 0.733618i | ||||
\(497\) | 4.53435 | + | 5.33825i | 0.203393 | + | 0.239453i | ||||
\(498\) | 2.43032 | − | 2.86119i | 0.108905 | − | 0.128213i | ||||
\(499\) | 0.456124 | + | 2.78224i | 0.0204189 | + | 0.124550i | 0.995069 | − | 0.0991846i | \(-0.0316234\pi\) |
−0.974650 | + | 0.223735i | \(0.928175\pi\) | |||||||
\(500\) | 11.0366 | − | 8.38983i | 0.493573 | − | 0.375205i | ||||
\(501\) | −12.8505 | − | 18.9530i | −0.574116 | − | 0.846758i | ||||
\(502\) | −1.58931 | − | 2.34406i | −0.0709345 | − | 0.104621i | ||||
\(503\) | 18.6148 | − | 14.1506i | 0.829993 | − | 0.630944i | −0.101446 | − | 0.994841i | \(-0.532347\pi\) |
0.931439 | + | 0.363897i | \(0.118554\pi\) | |||||||
\(504\) | −0.347976 | − | 2.12256i | −0.0155001 | − | 0.0945463i | ||||
\(505\) | −14.6124 | + | 17.2031i | −0.650244 | + | 0.765527i | ||||
\(506\) | −12.5984 | − | 14.8320i | −0.560069 | − | 0.659365i | ||||
\(507\) | −1.10539 | + | 6.74260i | −0.0490923 | + | 0.299450i | ||||
\(508\) | −9.04731 | − | 17.0650i | −0.401410 | − | 0.757139i | ||||
\(509\) | −37.9492 | + | 8.35326i | −1.68207 | + | 0.370252i | −0.950309 | − | 0.311309i | \(-0.899232\pi\) |
−0.731761 | + | 0.681561i | \(0.761301\pi\) | |||||||
\(510\) | 6.23648 | − | 2.10131i | 0.276156 | − | 0.0930478i | ||||
\(511\) | −0.455005 | + | 8.39207i | −0.0201282 | + | 0.371244i | ||||
\(512\) | 12.9159 | + | 9.81839i | 0.570806 | + | 0.433916i | ||||
\(513\) | 1.40910 | − | 2.65785i | 0.0622133 | − | 0.117347i | ||||
\(514\) | −3.54797 | + | 12.7786i | −0.156494 | + | 0.563642i | ||||
\(515\) | −24.9506 | + | 23.6345i | −1.09946 | + | 1.04146i | ||||
\(516\) | 4.60908 | − | 11.5679i | 0.202903 | − | 0.509249i | ||||
\(517\) | −37.5900 | − | 12.6655i | −1.65321 | − | 0.557030i | ||||
\(518\) | −1.85848 | − | 0.202122i | −0.0816571 | − | 0.00888074i | ||||
\(519\) | 4.99479 | − | 2.31084i | 0.219247 | − | 0.101435i | ||||
\(520\) | −19.5084 | − | 18.4793i | −0.855499 | − | 0.810371i | ||||
\(521\) | 11.0378 | − | 6.64124i | 0.483576 | − | 0.290958i | −0.252815 | − | 0.967515i | \(-0.581356\pi\) |
0.736390 | + | 0.676557i | \(0.236529\pi\) | |||||||
\(522\) | 0.940047 | − | 0.102236i | 0.0411447 | − | 0.00447476i | ||||
\(523\) | 20.4904 | + | 4.51028i | 0.895984 | + | 0.197221i | 0.639011 | − | 0.769198i | \(-0.279344\pi\) |
0.256973 | + | 0.966419i | \(0.417275\pi\) | |||||||
\(524\) | −0.385906 | − | 1.38991i | −0.0168584 | − | 0.0607185i | ||||
\(525\) | 1.18197 | + | 0.711168i | 0.0515854 | + | 0.0310379i | ||||
\(526\) | −13.7330 | − | 6.35355i | −0.598786 | − | 0.277028i | ||||
\(527\) | 15.3697 | + | 38.5749i | 0.669513 | + | 1.68035i | ||||
\(528\) | 0.349334 | + | 6.44309i | 0.0152028 | + | 0.280399i | ||||
\(529\) | −14.8063 | + | 21.8377i | −0.643753 | + | 0.949465i | ||||
\(530\) | 3.69090 | 0.160323 | ||||||||
\(531\) | −7.44362 | − | 1.89539i | −0.323026 | − | 0.0822528i | ||||
\(532\) | 4.26706 | 0.185001 | ||||||||
\(533\) | −0.169766 | + | 0.250386i | −0.00735339 | + | 0.0108454i | ||||
\(534\) | −0.125625 | − | 2.31702i | −0.00543632 | − | 0.100267i | ||||
\(535\) | −6.39519 | − | 16.0507i | −0.276488 | − | 0.693933i | ||||
\(536\) | −1.50966 | − | 0.698443i | −0.0652074 | − | 0.0301682i | ||||
\(537\) | 0.842272 | + | 0.506778i | 0.0363467 | + | 0.0218691i | ||||
\(538\) | 3.01692 | + | 10.8660i | 0.130069 | + | 0.468464i | ||||
\(539\) | −25.1312 | − | 5.53180i | −1.08248 | − | 0.238272i | ||||
\(540\) | 3.95582 | − | 0.430221i | 0.170231 | − | 0.0185138i | ||||
\(541\) | −23.2499 | + | 13.9890i | −0.999592 | + | 0.601435i | −0.918562 | − | 0.395277i | \(-0.870649\pi\) |
−0.0810301 | + | 0.996712i | \(0.525821\pi\) | |||||||
\(542\) | 5.60190 | + | 5.30640i | 0.240622 | + | 0.227930i | ||||
\(543\) | −14.1628 | + | 6.55241i | −0.607784 | + | 0.281191i | ||||
\(544\) | 22.2091 | + | 2.41539i | 0.952209 | + | 0.103559i | ||||
\(545\) | 17.1276 | + | 5.77096i | 0.733665 | + | 0.247201i | ||||
\(546\) | −0.996242 | + | 2.50038i | −0.0426352 | + | 0.107006i | ||||
\(547\) | 6.44234 | − | 6.10251i | 0.275455 | − | 0.260925i | −0.537484 | − | 0.843274i | \(-0.680625\pi\) |
0.812939 | + | 0.582349i | \(0.197866\pi\) | |||||||
\(548\) | −0.367788 | + | 1.32465i | −0.0157111 | + | 0.0565864i | ||||
\(549\) | 0.498959 | − | 0.941136i | 0.0212950 | − | 0.0401667i | ||||
\(550\) | 3.34204 | + | 2.54055i | 0.142505 | + | 0.108330i | ||||
\(551\) | −0.231862 | + | 4.27644i | −0.00987766 | + | 0.182183i | ||||
\(552\) | −15.7416 | + | 5.30398i | −0.670009 | + | 0.225752i | ||||
\(553\) | −13.3355 | + | 2.93537i | −0.567085 | + | 0.124825i | ||||
\(554\) | −1.39691 | − | 2.63486i | −0.0593491 | − | 0.111944i | ||||
\(555\) | 1.27738 | − | 7.79168i | 0.0542218 | − | 0.330738i | ||||
\(556\) | −6.79061 | − | 7.99453i | −0.287986 | − | 0.339044i | ||||
\(557\) | 9.14507 | − | 10.7664i | 0.387489 | − | 0.456187i | −0.533486 | − | 0.845809i | \(-0.679118\pi\) |
0.920975 | + | 0.389622i | \(0.127394\pi\) | |||||||
\(558\) | −1.14955 | − | 7.01197i | −0.0486645 | − | 0.296840i | ||||
\(559\) | −28.3207 | + | 21.5288i | −1.19784 | + | 0.910571i | ||||
\(560\) | 2.01734 | + | 2.97535i | 0.0852480 | + | 0.125731i | ||||
\(561\) | 9.08175 | + | 13.3946i | 0.383432 | + | 0.565519i | ||||
\(562\) | −12.6042 | + | 9.58149i | −0.531677 | + | 0.404171i | ||||
\(563\) | −5.34733 | − | 32.6173i | −0.225363 | − | 1.37465i | −0.820784 | − | 0.571239i | \(-0.806463\pi\) |
0.595421 | − | 0.803414i | \(-0.296985\pi\) | |||||||
\(564\) | −9.60121 | + | 11.3034i | −0.404284 | + | 0.475960i | ||||
\(565\) | 1.82951 | + | 2.15386i | 0.0769680 | + | 0.0906137i | ||||
\(566\) | 1.02516 | − | 6.25322i | 0.0430908 | − | 0.262842i | ||||
\(567\) | −0.426222 | − | 0.803939i | −0.0178996 | − | 0.0337623i | ||||
\(568\) | 17.7695 | − | 3.91136i | 0.745591 | − | 0.164117i | ||||
\(569\) | 7.70938 | − | 2.59759i | 0.323194 | − | 0.108897i | −0.153028 | − | 0.988222i | \(-0.548902\pi\) |
0.476222 | + | 0.879325i | \(0.342006\pi\) | |||||||
\(570\) | 0.276132 | − | 5.09295i | 0.0115659 | − | 0.213320i | ||||
\(571\) | 15.8361 | + | 12.0383i | 0.662719 | + | 0.503786i | 0.881619 | − | 0.471962i | \(-0.156454\pi\) |
−0.218901 | + | 0.975747i | \(0.570247\pi\) | |||||||
\(572\) | 13.5574 | − | 25.5719i | 0.566863 | − | 1.06922i | ||||
\(573\) | 2.96272 | − | 10.6708i | 0.123770 | − | 0.445777i | ||||
\(574\) | −0.0298056 | + | 0.0282334i | −0.00124406 | + | 0.00117844i | ||||
\(575\) | 3.94316 | − | 9.89658i | 0.164441 | − | 0.412716i | ||||
\(576\) | −0.689454 | − | 0.232304i | −0.0287273 | − | 0.00967934i | ||||
\(577\) | −31.1675 | − | 3.38967i | −1.29752 | − | 0.141114i | −0.566837 | − | 0.823830i | \(-0.691833\pi\) |
−0.730684 | + | 0.682716i | \(0.760799\pi\) | |||||||
\(578\) | −1.16576 | + | 0.539337i | −0.0484891 | + | 0.0224335i | ||||
\(579\) | 7.14502 | + | 6.76812i | 0.296937 | + | 0.281274i | ||||
\(580\) | −4.85401 | + | 2.92056i | −0.201552 | + | 0.121270i | ||||
\(581\) | 5.11278 | − | 0.556048i | 0.212114 | − | 0.0230688i | ||||
\(582\) | 11.1598 | + | 2.45646i | 0.462590 | + | 0.101824i | ||||
\(583\) | 2.42814 | + | 8.74538i | 0.100563 | + | 0.362197i | ||||
\(584\) | 18.7074 | + | 11.2558i | 0.774116 | + | 0.465770i | ||||
\(585\) | −10.3172 | − | 4.77325i | −0.426564 | − | 0.197349i | ||||
\(586\) | −5.11298 | − | 12.8326i | −0.211215 | − | 0.530110i | ||||
\(587\) | −1.13870 | − | 21.0020i | −0.0469990 | − | 0.866845i | −0.923063 | − | 0.384650i | \(-0.874322\pi\) |
0.876064 | − | 0.482196i | \(-0.160161\pi\) | |||||||
\(588\) | −5.39927 | + | 7.96333i | −0.222662 | + | 0.328402i | ||||
\(589\) | 32.1823 | 1.32605 | ||||||||
\(590\) | −12.8033 | + | 2.38262i | −0.527104 | + | 0.0980909i | ||||
\(591\) | −19.7226 | −0.811278 | ||||||||
\(592\) | 2.68645 | − | 3.96222i | 0.110413 | − | 0.162846i | ||||
\(593\) | 1.27137 | + | 23.4491i | 0.0522091 | + | 0.962940i | 0.900894 | + | 0.434040i | \(0.142912\pi\) |
−0.848684 | + | 0.528900i | \(0.822605\pi\) | |||||||
\(594\) | −1.02500 | − | 2.57256i | −0.0420563 | − | 0.105553i | ||||
\(595\) | 8.18246 | + | 3.78561i | 0.335448 | + | 0.155195i | ||||
\(596\) | 20.1558 | + | 12.1273i | 0.825613 | + | 0.496755i | ||||
\(597\) | 5.52899 | + | 19.9136i | 0.226286 | + | 0.815010i | ||||
\(598\) | 20.3006 | + | 4.46850i | 0.830153 | + | 0.182730i | ||||
\(599\) | −1.64018 | + | 0.178380i | −0.0670158 | + | 0.00728841i | −0.141565 | − | 0.989929i | \(-0.545214\pi\) |
0.0745497 | + | 0.997217i | \(0.476248\pi\) | |||||||
\(600\) | 3.07046 | − | 1.84744i | 0.125351 | − | 0.0754212i | ||||
\(601\) | −21.0302 | − | 19.9209i | −0.857840 | − | 0.812589i | 0.125927 | − | 0.992039i | \(-0.459809\pi\) |
−0.983767 | + | 0.179451i | \(0.942568\pi\) | |||||||
\(602\) | −4.38170 | + | 2.02719i | −0.178585 | + | 0.0826222i | ||||
\(603\) | −0.699577 | − | 0.0760836i | −0.0284890 | − | 0.00309836i | ||||
\(604\) | −27.8751 | − | 9.39221i | −1.13422 | − | 0.382164i | ||||
\(605\) | −6.03072 | + | 15.1360i | −0.245184 | + | 0.615364i | ||||
\(606\) | 4.26387 | − | 4.03895i | 0.173208 | − | 0.164071i | ||||
\(607\) | 3.92088 | − | 14.1217i | 0.159144 | − | 0.573183i | −0.840370 | − | 0.542012i | \(-0.817663\pi\) |
0.999514 | − | 0.0311710i | \(-0.00992363\pi\) | |||||||
\(608\) | 8.11011 | − | 15.2973i | 0.328908 | − | 0.620387i | ||||
\(609\) | 1.03128 | + | 0.783960i | 0.0417897 | + | 0.0317677i | ||||
\(610\) | 0.0977774 | − | 1.80340i | 0.00395889 | − | 0.0730175i | ||||
\(611\) | 40.1515 | − | 13.5286i | 1.62436 | − | 0.547309i | ||||
\(612\) | 5.90918 | − | 1.30071i | 0.238864 | − | 0.0525780i | ||||
\(613\) | 0.913668 | + | 1.72336i | 0.0369027 | + | 0.0696059i | 0.901278 | − | 0.433242i | \(-0.142630\pi\) |
−0.864375 | + | 0.502848i | \(0.832286\pi\) | |||||||
\(614\) | −3.37449 | + | 20.5835i | −0.136183 | + | 0.830683i | ||||
\(615\) | −0.112255 | − | 0.132157i | −0.00452656 | − | 0.00532908i | ||||
\(616\) | 5.80555 | − | 6.83482i | 0.233912 | − | 0.275383i | ||||
\(617\) | 3.90699 | + | 23.8316i | 0.157290 | + | 0.959424i | 0.941027 | + | 0.338331i | \(0.109862\pi\) |
−0.783738 | + | 0.621092i | \(0.786689\pi\) | |||||||
\(618\) | 7.11905 | − | 5.41176i | 0.286370 | − | 0.217693i | ||||
\(619\) | 20.5427 | + | 30.2983i | 0.825682 | + | 1.21779i | 0.973480 | + | 0.228772i | \(0.0734712\pi\) |
−0.147798 | + | 0.989018i | \(0.547219\pi\) | |||||||
\(620\) | 23.8889 | + | 35.2335i | 0.959402 | + | 1.41501i | ||||
\(621\) | −5.59444 | + | 4.25278i | −0.224497 | + | 0.170658i | ||||
\(622\) | −0.935389 | − | 5.70562i | −0.0375057 | − | 0.228775i | ||||
\(623\) | 2.05798 | − | 2.42284i | 0.0824511 | − | 0.0970690i | ||||
\(624\) | −4.46194 | − | 5.25301i | −0.178621 | − | 0.210289i | ||||
\(625\) | 4.89903 | − | 29.8827i | 0.195961 | − | 1.19531i | ||||
\(626\) | −4.66398 | − | 8.79721i | −0.186410 | − | 0.351607i | ||||
\(627\) | 12.2491 | − | 2.69623i | 0.489182 | − | 0.107677i | ||||
\(628\) | 30.4155 | − | 10.2482i | 1.21371 | − | 0.408947i | ||||
\(629\) | 0.649998 | − | 11.9885i | 0.0259171 | − | 0.478013i | ||||
\(630\) | −1.22819 | − | 0.933642i | −0.0489321 | − | 0.0371972i | ||||
\(631\) | −4.48170 | + | 8.45339i | −0.178414 | + | 0.336524i | −0.956548 | − | 0.291573i | \(-0.905821\pi\) |
0.778135 | + | 0.628097i | \(0.216166\pi\) | |||||||
\(632\) | −9.48968 | + | 34.1787i | −0.377479 | + | 1.35956i | ||||
\(633\) | 8.36607 | − | 7.92476i | 0.332521 | − | 0.314981i | ||||
\(634\) | −7.15058 | + | 17.9466i | −0.283986 | + | 0.712750i | ||||
\(635\) | −29.9732 | − | 10.0991i | −1.18945 | − | 0.400772i | ||||
\(636\) | 3.37358 | + | 0.366899i | 0.133771 | + | 0.0145485i | ||||
\(637\) | 24.9459 | − | 11.5412i | 0.988394 | − | 0.457280i | ||||
\(638\) | 2.86218 | + | 2.71120i | 0.113315 | + | 0.107338i | ||||
\(639\) | 6.59552 | − | 3.96839i | 0.260915 | − | 0.156987i | ||||
\(640\) | 27.9850 | − | 3.04355i | 1.10620 | − | 0.120307i | ||||
\(641\) | −35.7057 | − | 7.85941i | −1.41029 | − | 0.310428i | −0.556414 | − | 0.830905i | \(-0.687823\pi\) |
−0.853876 | + | 0.520477i | \(0.825754\pi\) | |||||||
\(642\) | 1.20274 | + | 4.33186i | 0.0474682 | + | 0.170965i | ||||
\(643\) | 3.00599 | + | 1.80864i | 0.118545 | + | 0.0713259i | 0.573591 | − | 0.819142i | \(-0.305550\pi\) |
−0.455047 | + | 0.890468i | \(0.650377\pi\) | |||||||
\(644\) | −9.04663 | − | 4.18542i | −0.356487 | − | 0.164929i | ||||
\(645\) | −7.54749 | − | 18.9428i | −0.297182 | − | 0.745871i | ||||
\(646\) | −0.419883 | − | 7.74428i | −0.0165201 | − | 0.304695i | ||||
\(647\) | −9.88999 | + | 14.5866i | −0.388816 | + | 0.573460i | −0.970845 | − | 0.239707i | \(-0.922948\pi\) |
0.582029 | + | 0.813168i | \(0.302259\pi\) | |||||||
\(648\) | −2.36378 | −0.0928582 | ||||||||
\(649\) | −14.0684 | − | 28.7692i | −0.552234 | − | 1.12929i | ||||
\(650\) | −4.48412 | −0.175882 | ||||||||
\(651\) | 5.46283 | − | 8.05708i | 0.214105 | − | 0.315782i | ||||
\(652\) | −0.962065 | − | 17.7442i | −0.0376774 | − | 0.694918i | ||||
\(653\) | −2.97481 | − | 7.46620i | −0.116413 | − | 0.292175i | 0.859212 | − | 0.511620i | \(-0.170955\pi\) |
−0.975625 | + | 0.219445i | \(0.929575\pi\) | |||||||
\(654\) | −4.26816 | − | 1.97466i | −0.166898 | − | 0.0772153i | ||||
\(655\) | −2.02399 | − | 1.21780i | −0.0790840 | − | 0.0475833i | ||||
\(656\) | −0.0281251 | − | 0.101297i | −0.00109810 | − | 0.00395500i | ||||
\(657\) | 9.02032 | + | 1.98552i | 0.351916 | + | 0.0774626i | ||||
\(658\) | 5.71636 | − | 0.621692i | 0.222847 | − | 0.0242361i | ||||
\(659\) | −26.5966 | + | 16.0026i | −1.03605 | + | 0.623373i | −0.928694 | − | 0.370847i | \(-0.879068\pi\) |
−0.107361 | + | 0.994220i | \(0.534240\pi\) | |||||||
\(660\) | 12.0444 | + | 11.4090i | 0.468827 | + | 0.444096i | ||||
\(661\) | 24.6014 | − | 11.3818i | 0.956883 | − | 0.442701i | 0.121635 | − | 0.992575i | \(-0.461186\pi\) |
0.835248 | + | 0.549874i | \(0.185324\pi\) | |||||||
\(662\) | 16.5873 | + | 1.80398i | 0.644683 | + | 0.0701135i | ||||
\(663\) | −16.3810 | − | 5.51940i | −0.636185 | − | 0.214356i | ||||
\(664\) | 4.94505 | − | 12.4111i | 0.191905 | − | 0.481646i | ||||
\(665\) | 5.07284 | − | 4.80525i | 0.196716 | − | 0.186340i | ||||
\(666\) | −0.549631 | + | 1.97959i | −0.0212978 | + | 0.0767076i | ||||
\(667\) | 4.68619 | − | 8.83910i | 0.181450 | − | 0.342251i | ||||
\(668\) | −28.4168 | − | 21.6019i | −1.09948 | − | 0.835803i | ||||
\(669\) | −0.426754 | + | 7.87102i | −0.0164993 | + | 0.304311i | ||||
\(670\) | −1.13065 | + | 0.380960i | −0.0436807 | + | 0.0147177i | ||||
\(671\) | 4.33737 | − | 0.954728i | 0.167442 | − | 0.0368568i | ||||
\(672\) | −2.45313 | − | 4.62709i | −0.0946314 | − | 0.178494i | ||||
\(673\) | −2.51804 | + | 15.3593i | −0.0970631 | + | 0.592059i | 0.892847 | + | 0.450361i | \(0.148705\pi\) |
−0.989910 | + | 0.141698i | \(0.954744\pi\) | |||||||
\(674\) | −3.97358 | − | 4.67806i | −0.153057 | − | 0.180192i | ||||
\(675\) | 0.981411 | − | 1.15541i | 0.0377745 | − | 0.0444716i | ||||
\(676\) | 1.72313 | + | 10.5106i | 0.0662742 | + | 0.404254i | ||||
\(677\) | 1.60938 | − | 1.22342i | 0.0618536 | − | 0.0470199i | −0.573791 | − | 0.819002i | \(-0.694528\pi\) |
0.635644 | + | 0.771982i | \(0.280735\pi\) | |||||||
\(678\) | −0.412657 | − | 0.608624i | −0.0158480 | − | 0.0233740i | ||||
\(679\) | 8.78517 | + | 12.9572i | 0.337144 | + | 0.497250i | ||||
\(680\) | 18.6450 | − | 14.1735i | 0.715002 | − | 0.543531i | ||||
\(681\) | −2.61689 | − | 15.9623i | −0.100279 | − | 0.611678i | ||||
\(682\) | 19.1789 | − | 22.5791i | 0.734398 | − | 0.864600i | ||||
\(683\) | −10.8860 | − | 12.8160i | −0.416541 | − | 0.490390i | 0.513374 | − | 0.858165i | \(-0.328395\pi\) |
−0.929915 | + | 0.367775i | \(0.880120\pi\) | |||||||
\(684\) | 0.758662 | − | 4.62763i | 0.0290082 | − | 0.176942i | ||||
\(685\) | 1.05449 | + | 1.98897i | 0.0402899 | + | 0.0759948i | ||||
\(686\) | 7.77479 | − | 1.71136i | 0.296843 | − | 0.0653401i | ||||
\(687\) | −13.3897 | + | 4.51150i | −0.510848 | + | 0.172125i | ||||
\(688\) | 0.669314 | − | 12.3448i | 0.0255173 | − | 0.470640i | ||||
\(689\) | −7.71787 | − | 5.86697i | −0.294027 | − | 0.223514i | ||||
\(690\) | −5.58093 | + | 10.5268i | −0.212462 | + | 0.400747i | ||||
\(691\) | 4.33358 | − | 15.6081i | 0.164857 | − | 0.593761i | −0.834245 | − | 0.551394i | \(-0.814096\pi\) |
0.999102 | − | 0.0423674i | \(-0.0134900\pi\) | |||||||
\(692\) | 6.22830 | − | 5.89976i | 0.236764 | − | 0.224275i | ||||
\(693\) | 1.40422 | − | 3.52433i | 0.0533419 | − | 0.133878i | ||||
\(694\) | 0.375568 | + | 0.126544i | 0.0142564 | + | 0.00480353i | ||||
\(695\) | −17.0758 | − | 1.85710i | −0.647722 | − | 0.0704440i | ||||
\(696\) | 3.05417 | − | 1.41301i | 0.115768 | − | 0.0535600i | ||||
\(697\) | −0.191420 | − | 0.181323i | −0.00725057 | − | 0.00686810i | ||||
\(698\) | −20.4961 | + | 12.3321i | −0.775788 | + | 0.466776i | ||||
\(699\) | 13.4267 | − | 1.46024i | 0.507844 | − | 0.0552314i | ||||
\(700\) | 2.10002 | + | 0.462250i | 0.0793735 | + | 0.0174714i | ||||
\(701\) | −12.0596 | − | 43.4349i | −0.455486 | − | 1.64051i | −0.733320 | − | 0.679884i | \(-0.762030\pi\) |
0.277834 | − | 0.960629i | \(-0.410384\pi\) | |||||||
\(702\) | 2.53454 | + | 1.52498i | 0.0956599 | + | 0.0575566i | ||||
\(703\) | −8.44504 | − | 3.90709i | −0.318511 | − | 0.147359i | ||||
\(704\) | −1.12274 | − | 2.81787i | −0.0423150 | − | 0.106203i | ||||
\(705\) | 1.31480 | + | 24.2501i | 0.0495184 | + | 0.913312i | ||||
\(706\) | −9.40097 | + | 13.8654i | −0.353810 | + | 0.521831i | ||||
\(707\) | 8.04601 | 0.302601 | ||||||||
\(708\) | −11.9394 | + | 0.905046i | −0.448710 | + | 0.0340137i | ||||
\(709\) | 10.0950 | 0.379125 | 0.189563 | − | 0.981869i | \(-0.439293\pi\) | ||||
0.189563 | + | 0.981869i | \(0.439293\pi\) | |||||||
\(710\) | 7.32382 | − | 10.8018i | 0.274858 | − | 0.405385i | ||||
\(711\) | 0.812425 | + | 14.9843i | 0.0304683 | + | 0.561955i | ||||
\(712\) | −3.05660 | − | 7.67148i | −0.114551 | − | 0.287501i | ||||
\(713\) | −68.2299 | − | 31.5665i | −2.55523 | − | 1.18218i | ||||
\(714\) | −2.01011 | − | 1.20944i | −0.0752265 | − | 0.0452623i | ||||
\(715\) | −12.6797 | − | 45.6682i | −0.474195 | − | 1.70789i | ||||
\(716\) | 1.49648 | + | 0.329400i | 0.0559260 | + | 0.0123102i | ||||
\(717\) | −19.9561 | + | 2.17036i | −0.745274 | + | 0.0810534i | ||||
\(718\) | 4.88036 | − | 2.93641i | 0.182133 | − | 0.109586i | ||||
\(719\) | 24.4079 | + | 23.1204i | 0.910260 | + | 0.862244i | 0.990914 | − | 0.134498i | \(-0.0429422\pi\) |
−0.0806538 | + | 0.996742i | \(0.525701\pi\) | |||||||
\(720\) | 3.58544 | − | 1.65880i | 0.133621 | − | 0.0618199i | ||||
\(721\) | 12.1791 | + | 1.32456i | 0.453574 | + | 0.0493292i | ||||
\(722\) | 6.26303 | + | 2.11026i | 0.233086 | + | 0.0785358i | ||||
\(723\) | 6.42230 | − | 16.1188i | 0.238848 | − | 0.599463i | ||||
\(724\) | −17.6604 | + | 16.7288i | −0.656344 | + | 0.621722i | ||||
\(725\) | −0.577377 | + | 2.07953i | −0.0214433 | + | 0.0772316i | ||||
\(726\) | 1.98582 | − | 3.74566i | 0.0737008 | − | 0.139015i | ||||
\(727\) | −31.7013 | − | 24.0987i | −1.17573 | − | 0.893770i | −0.179787 | − | 0.983706i | \(-0.557541\pi\) |
−0.995948 | + | 0.0899354i | \(0.971334\pi\) | |||||||
\(728\) | −0.518583 | + | 9.56470i | −0.0192200 | + | 0.354491i | ||||
\(729\) | −0.947653 | + | 0.319302i | −0.0350983 | + | 0.0118260i | ||||
\(730\) | 15.2936 | − | 3.36638i | 0.566043 | − | 0.124595i | ||||
\(731\) | −14.5236 | − | 27.3945i | −0.537176 | − | 1.01322i | ||||
\(732\) | 0.268640 | − | 1.63863i | 0.00992922 | − | 0.0605656i | ||||
\(733\) | 7.89063 | + | 9.28956i | 0.291447 | + | 0.343118i | 0.888326 | − | 0.459213i | \(-0.151869\pi\) |
−0.596879 | + | 0.802331i | \(0.703593\pi\) | |||||||
\(734\) | 3.35256 | − | 3.94694i | 0.123745 | − | 0.145684i | ||||
\(735\) | 2.54886 | + | 15.5474i | 0.0940162 | + | 0.573474i | ||||
\(736\) | −32.1989 | + | 24.4770i | −1.18687 | + | 0.902233i | ||||
\(737\) | −1.64648 | − | 2.42838i | −0.0606490 | − | 0.0894505i | ||||
\(738\) | 0.0253198 | + | 0.0373440i | 0.000932036 | + | 0.00137465i | ||||
\(739\) | 17.3319 | − | 13.1754i | 0.637563 | − | 0.484663i | −0.235755 | − | 0.971812i | \(-0.575756\pi\) |
0.873319 | + | 0.487149i | \(0.161963\pi\) | |||||||
\(740\) | −1.99123 | − | 12.1460i | −0.0731990 | − | 0.446494i | ||||
\(741\) | −8.67303 | + | 10.2107i | −0.318612 | + | 0.375099i | ||||
\(742\) | −0.851761 | − | 1.00277i | −0.0312691 | − | 0.0368129i | ||||
\(743\) | 4.40240 | − | 26.8534i | 0.161508 | − | 0.985157i | −0.774344 | − | 0.632765i | \(-0.781920\pi\) |
0.935852 | − | 0.352392i | \(-0.114632\pi\) | |||||||
\(744\) | −11.8449 | − | 22.3419i | −0.434256 | − | 0.819093i | ||||
\(745\) | 37.6189 | − | 8.28054i | 1.37825 | − | 0.303376i | ||||
\(746\) | 2.91104 | − | 0.980844i | 0.106581 | − | 0.0359112i | ||||
\(747\) | 0.305991 | − | 5.64367i | 0.0111956 | − | 0.206491i | ||||
\(748\) | 20.0829 | + | 15.2666i | 0.734303 | + | 0.558203i | ||||
\(749\) | −2.88493 | + | 5.44156i | −0.105413 | + | 0.198830i | ||||
\(750\) | −1.58031 | + | 5.69176i | −0.0577048 | + | 0.207834i | ||||
\(751\) | −17.4622 | + | 16.5411i | −0.637204 | + | 0.603592i | −0.936542 | − | 0.350555i | \(-0.885993\pi\) |
0.299338 | + | 0.954147i | \(0.403234\pi\) | |||||||
\(752\) | −5.45000 | + | 13.6785i | −0.198741 | + | 0.498803i | ||||
\(753\) | −4.04065 | − | 1.36145i | −0.147249 | − | 0.0496141i | ||||
\(754\) | −4.18639 | − | 0.455297i | −0.152459 | − | 0.0165809i | ||||
\(755\) | −43.7158 | + | 20.2251i | −1.59098 | + | 0.736066i | ||||
\(756\) | −1.02978 | − | 0.975461i | −0.0374528 | − | 0.0354772i | ||||
\(757\) | −1.11782 | + | 0.672572i | −0.0406280 | + | 0.0244450i | −0.535723 | − | 0.844394i | \(-0.679961\pi\) |
0.495095 | + | 0.868839i | \(0.335133\pi\) | |||||||
\(758\) | −6.38808 | + | 0.694745i | −0.232025 | + | 0.0252343i | ||||
\(759\) | −28.6141 | − | 6.29843i | −1.03862 | − | 0.228619i | ||||
\(760\) | −4.85606 | − | 17.4900i | −0.176148 | − | 0.634428i | ||||
\(761\) | 39.1147 | + | 23.5345i | 1.41791 | + | 0.853126i | 0.998504 | − | 0.0546744i | \(-0.0174121\pi\) |
0.419402 | + | 0.907800i | \(0.362240\pi\) | |||||||
\(762\) | 7.46925 | + | 3.45564i | 0.270582 | + | 0.125185i | ||||
\(763\) | −2.38469 | − | 5.98513i | −0.0863317 | − | 0.216676i | ||||
\(764\) | −0.934612 | − | 17.2379i | −0.0338131 | − | 0.623645i | ||||
\(765\) | 5.56029 | − | 8.20082i | 0.201033 | − | 0.296501i | ||||
\(766\) | 7.96425 | 0.287760 | ||||||||
\(767\) | 30.5597 | + | 15.3697i | 1.10345 | + | 0.554966i | ||||
\(768\) | −8.77976 | −0.316812 | ||||||||
\(769\) | −6.52270 | + | 9.62027i | −0.235215 | + | 0.346916i | −0.926917 | − | 0.375267i | \(-0.877551\pi\) |
0.691702 | + | 0.722183i | \(0.256861\pi\) | |||||||
\(770\) | −0.348233 | − | 6.42278i | −0.0125495 | − | 0.231461i | ||||
\(771\) | 7.39051 | + | 18.5488i | 0.266163 | + | 0.668018i | ||||
\(772\) | 13.9236 | + | 6.44176i | 0.501123 | + | 0.231844i | ||||
\(773\) | 30.9526 | + | 18.6236i | 1.11329 | + | 0.669844i | 0.948592 | − | 0.316500i | \(-0.102508\pi\) |
0.164697 | + | 0.986344i | \(0.447335\pi\) | |||||||
\(774\) | 1.41945 | + | 5.11239i | 0.0510210 | + | 0.183761i | ||||
\(775\) | 15.8384 | + | 3.48631i | 0.568934 | + | 0.125232i | ||||
\(776\) | 40.4284 | − | 4.39685i | 1.45129 | − | 0.157838i | ||||
\(777\) | −2.41168 | + | 1.45106i | −0.0865187 | + | 0.0520566i | ||||
\(778\) | 8.60214 | + | 8.14838i | 0.308402 | + | 0.292133i | ||||
\(779\) | −0.185461 | + | 0.0858036i | −0.00664485 | + | 0.00307423i | ||||
\(780\) | −17.6168 | − | 1.91594i | −0.630782 | − | 0.0686016i | ||||
\(781\) | 30.4124 | + | 10.2471i | 1.08824 | + | 0.366671i | ||||
\(782\) | −6.70591 | + | 16.8306i | −0.239803 | + | 0.601860i | ||||
\(783\) | 1.03356 | − | 0.979042i | 0.0369365 | − | 0.0349881i | ||||
\(784\) | −2.55545 | + | 9.20390i | −0.0912661 | + | 0.328711i | ||||
\(785\) | 24.6184 | − | 46.4352i | 0.878668 | − | 1.65734i | ||||
\(786\) | 0.489300 | + | 0.371957i | 0.0174528 | + | 0.0132672i | ||||
\(787\) | −2.02407 | + | 37.3317i | −0.0721502 | + | 1.33073i | 0.708476 | + | 0.705735i | \(0.249383\pi\) |
−0.780626 | + | 0.624998i | \(0.785100\pi\) | |||||||
\(788\) | −29.1349 | + | 9.81669i | −1.03789 | + | 0.349705i | ||||
\(789\) | −22.2488 | + | 4.89734i | −0.792080 | + | 0.174350i | ||||
\(790\) | 11.9176 | + | 22.4789i | 0.424008 | + | 0.799764i | ||||
\(791\) | 0.162976 | − | 0.994107i | 0.00579475 | − | 0.0353464i | ||||
\(792\) | −6.38017 | − | 7.51132i | −0.226709 | − | 0.266903i | ||||
\(793\) | −3.07110 | + | 3.61557i | −0.109058 | + | 0.128393i | ||||
\(794\) | 3.32644 | + | 20.2904i | 0.118051 | + | 0.720080i | ||||
\(795\) | 4.42381 | − | 3.36289i | 0.156896 | − | 0.119270i | ||||
\(796\) | 18.0794 | + | 26.6651i | 0.640807 | + | 0.945120i | ||||
\(797\) | −11.8326 | − | 17.4517i | −0.419131 | − | 0.618171i | 0.558247 | − | 0.829675i | \(-0.311474\pi\) |
−0.977377 | + | 0.211504i | \(0.932164\pi\) | |||||||
\(798\) | −1.44741 | + | 1.10029i | −0.0512378 | + | 0.0389500i | ||||
\(799\) | 5.97439 | + | 36.4421i | 0.211359 | + | 1.28923i | ||||
\(800\) | 5.64853 | − | 6.64996i | 0.199706 | − | 0.235112i | ||||
\(801\) | −2.26167 | − | 2.66265i | −0.0799123 | − | 0.0940800i | ||||
\(802\) | −1.25388 | + | 7.64832i | −0.0442760 | + | 0.270072i | ||||
\(803\) | 18.0377 | + | 34.0227i | 0.636537 | + | 1.20064i | ||||
\(804\) | −1.07131 | + | 0.235813i | −0.0377822 | + | 0.00831649i | ||||
\(805\) | −15.4683 | + | 5.21187i | −0.545186 | + | 0.183694i | ||||
\(806\) | −1.71316 | + | 31.5974i | −0.0603436 | + | 1.11297i | ||||
\(807\) | 13.5163 | + | 10.2748i | 0.475796 | + | 0.361691i | ||||
\(808\) | 9.79044 | − | 18.4667i | 0.344427 | − | 0.649657i | ||||
\(809\) | 5.09870 | − | 18.3638i | 0.179261 | − | 0.645638i | −0.818233 | − | 0.574886i | \(-0.805046\pi\) |
0.997494 | − | 0.0707521i | \(-0.0225399\pi\) | |||||||
\(810\) | −1.23090 | + | 1.16597i | −0.0432494 | + | 0.0409680i | ||||
\(811\) | 2.99463 | − | 7.51594i | 0.105156 | − | 0.263921i | −0.866979 | − | 0.498345i | \(-0.833941\pi\) |
0.972134 | + | 0.234425i | \(0.0753206\pi\) | |||||||
\(812\) | 1.91365 | + | 0.644785i | 0.0671561 | + | 0.0226275i | ||||
\(813\) | 11.5491 | + | 1.25604i | 0.405045 | + | 0.0440513i | ||||
\(814\) | −7.77400 | + | 3.59664i | −0.272479 | + | 0.126062i | ||||
\(815\) | −21.1260 | − | 20.0116i | −0.740012 | − | 0.700977i | ||||
\(816\) | 5.14731 | − | 3.09703i | 0.180192 | − | 0.108418i | ||||
\(817\) | −23.8899 | + | 2.59818i | −0.835800 | + | 0.0908988i | ||||
\(818\) | 19.8794 | + | 4.37579i | 0.695068 | + | 0.152996i | ||||
\(819\) | 1.08410 | + | 3.90459i | 0.0378816 | + | 0.136437i | ||||
\(820\) | −0.231607 | − | 0.139353i | −0.00808806 | − | 0.00486643i | ||||
\(821\) | −34.3001 | − | 15.8689i | −1.19708 | − | 0.553828i | −0.282905 | − | 0.959148i | \(-0.591298\pi\) |
−0.914175 | + | 0.405320i | \(0.867160\pi\) | |||||||
\(822\) | −0.216816 | − | 0.544167i | −0.00756232 | − | 0.0189800i | ||||
\(823\) | 1.43600 | + | 26.4855i | 0.0500559 | + | 0.923227i | 0.910455 | + | 0.413607i | \(0.135731\pi\) |
−0.860400 | + | 0.509620i | \(0.829786\pi\) | |||||||
\(824\) | 17.8597 | − | 26.3411i | 0.622172 | − | 0.917635i | ||||
\(825\) | 6.32045 | 0.220050 | ||||||||
\(826\) | 3.60199 | + | 2.92865i | 0.125329 | + | 0.101901i | ||||
\(827\) | −11.0580 | −0.384524 | −0.192262 | − | 0.981344i | \(-0.561582\pi\) | ||||
−0.192262 | + | 0.981344i | \(0.561582\pi\) | |||||||
\(828\) | −6.14753 | + | 9.06694i | −0.213642 | + | 0.315098i | ||||
\(829\) | 1.66115 | + | 30.6381i | 0.0576941 | + | 1.06410i | 0.873826 | + | 0.486239i | \(0.161632\pi\) |
−0.816132 | + | 0.577866i | \(0.803886\pi\) | |||||||
\(830\) | −3.54693 | − | 8.90211i | −0.123116 | − | 0.308997i | ||||
\(831\) | −4.07500 | − | 1.88529i | −0.141360 | − | 0.0654001i | ||||
\(832\) | 2.77622 | + | 1.67040i | 0.0962482 | + | 0.0579106i | ||||
\(833\) | 6.40911 | + | 23.0835i | 0.222063 | + | 0.799797i | ||||
\(834\) | 4.36487 | + | 0.960780i | 0.151143 | + | 0.0332691i | ||||
\(835\) | −58.1095 | + | 6.31979i | −2.01096 | + | 0.218705i | ||||
\(836\) | 16.7528 | − | 10.0798i | 0.579407 | − | 0.348618i | ||||
\(837\) | −7.76664 | − | 7.35695i | −0.268454 | − | 0.254294i | ||||
\(838\) | −10.0793 | + | 4.66318i | −0.348184 | + | 0.161087i | ||||
\(839\) | −18.5725 | − | 2.01988i | −0.641194 | − | 0.0697340i | −0.218254 | − | 0.975892i | \(-0.570036\pi\) |
−0.422940 | + | 0.906158i | \(0.639002\pi\) | |||||||
\(840\) | −5.20304 | − | 1.75311i | −0.179522 | − | 0.0604880i | ||||
\(841\) | 9.98382 | − | 25.0575i | 0.344270 | − | 0.864052i | ||||
\(842\) | 11.3225 | − | 10.7253i | 0.390200 | − | 0.369617i | ||||
\(843\) | −6.37709 | + | 22.9682i | −0.219639 | + | 0.791067i | ||||
\(844\) | 8.41420 | − | 15.8709i | 0.289629 | − | 0.546297i | ||||
\(845\) | 13.8848 | + | 10.5550i | 0.477652 | + | 0.363102i | ||||
\(846\) | 0.342115 | − | 6.30993i | 0.0117621 | − | 0.216940i | ||||
\(847\) | 5.50397 | − | 1.85450i | 0.189119 | − | 0.0637215i | ||||
\(848\) | 3.29033 | − | 0.724257i | 0.112991 | − | 0.0248711i | ||||
\(849\) | −4.46876 | − | 8.42898i | −0.153368 | − | 0.289282i | ||||
\(850\) | 0.632293 | − | 3.85682i | 0.0216875 | − | 0.132288i | ||||
\(851\) | 14.0721 | + | 16.5669i | 0.482384 | + | 0.567906i | ||||
\(852\) | 7.76792 | − | 9.14510i | 0.266125 | − | 0.313306i | ||||
\(853\) | −0.146684 | − | 0.894730i | −0.00502235 | − | 0.0306350i | 0.984196 | − | 0.177080i | \(-0.0566651\pi\) |
−0.989219 | + | 0.146445i | \(0.953217\pi\) | |||||||
\(854\) | −0.512524 | + | 0.389611i | −0.0175382 | + | 0.0133322i | ||||
\(855\) | −4.30938 | − | 6.35585i | −0.147378 | − | 0.217366i | ||||
\(856\) | 8.97875 | + | 13.2427i | 0.306887 | + | 0.452625i | ||||
\(857\) | −13.1172 | + | 9.97146i | −0.448076 | + | 0.340619i | −0.804754 | − | 0.593609i | \(-0.797703\pi\) |
0.356677 | + | 0.934228i | \(0.383910\pi\) | |||||||
\(858\) | 1.99517 | + | 12.1700i | 0.0681141 | + | 0.415478i | ||||
\(859\) | −1.54395 | + | 1.81768i | −0.0526790 | + | 0.0620185i | −0.787870 | − | 0.615841i | \(-0.788816\pi\) |
0.735191 | + | 0.677860i | \(0.237092\pi\) | |||||||
\(860\) | −20.5780 | − | 24.2263i | −0.701703 | − | 0.826109i | ||||
\(861\) | −0.00999987 | + | 0.0609965i | −0.000340795 | + | 0.00207876i | ||||
\(862\) | −4.63321 | − | 8.73917i | −0.157808 | − | 0.297657i | ||||
\(863\) | −3.11016 | + | 0.684598i | −0.105871 | + | 0.0233040i | −0.267590 | − | 0.963533i | \(-0.586227\pi\) |
0.161719 | + | 0.986837i | \(0.448296\pi\) | |||||||
\(864\) | −5.45423 | + | 1.83775i | −0.185557 | + | 0.0625214i | ||||
\(865\) | 0.760560 | − | 14.0277i | 0.0258598 | − | 0.476956i | ||||
\(866\) | −14.1235 | − | 10.7364i | −0.479935 | − | 0.364837i | ||||
\(867\) | −0.905838 | + | 1.70859i | −0.0307639 | + | 0.0580268i | ||||
\(868\) | 4.05957 | − | 14.6213i | 0.137791 | − | 0.496278i | ||||
\(869\) | −45.4222 | + | 43.0262i | −1.54084 | + | 1.45956i | ||||
\(870\) | 0.893420 | − | 2.24232i | 0.0302898 | − | 0.0760216i | ||||
\(871\) | 2.96981 | + | 1.00064i | 0.100628 | + | 0.0339055i | ||||
\(872\) | −16.6384 | − | 1.80954i | −0.563448 | − | 0.0612787i | ||||
\(873\) | 15.6140 | − | 7.22381i | 0.528454 | − | 0.244489i | ||||
\(874\) | 10.1940 | + | 9.65626i | 0.344817 | + | 0.326628i | ||||
\(875\) | −6.93413 | + | 4.17213i | −0.234416 | + | 0.141044i | ||||
\(876\) | 14.3134 | − | 1.55668i | 0.483605 | − | 0.0525952i | ||||
\(877\) | 7.89702 | + | 1.73827i | 0.266664 | + | 0.0586971i | 0.346289 | − | 0.938128i | \(-0.387442\pi\) |
−0.0796259 | + | 0.996825i | \(0.525373\pi\) | |||||||
\(878\) | −3.83922 | − | 13.8276i | −0.129567 | − | 0.466659i | ||||
\(879\) | −17.8204 | − | 10.7222i | −0.601069 | − | 0.361651i | ||||
\(880\) | 14.9487 | + | 6.91600i | 0.503920 | + | 0.233138i | ||||
\(881\) | −1.09960 | − | 2.75980i | −0.0370466 | − | 0.0929799i | 0.909289 | − | 0.416164i | \(-0.136626\pi\) |
−0.946336 | + | 0.323184i | \(0.895247\pi\) | |||||||
\(882\) | −0.221940 | − | 4.09345i | −0.00747312 | − | 0.137834i | ||||
\(883\) | 30.1223 | − | 44.4271i | 1.01370 | − | 1.49509i | 0.151540 | − | 0.988451i | \(-0.451577\pi\) |
0.862157 | − | 0.506641i | \(-0.169113\pi\) | |||||||
\(884\) | −26.9458 | −0.906286 | ||||||||
\(885\) | −13.1748 | + | 14.5212i | −0.442866 | + | 0.488126i | ||||
\(886\) | 2.12506 | 0.0713926 | ||||||||
\(887\) | 0.696602 | − | 1.02741i | 0.0233896 | − | 0.0344971i | −0.815814 | − | 0.578314i | \(-0.803711\pi\) |
0.839204 | + | 0.543817i | \(0.183021\pi\) | |||||||
\(888\) | 0.395839 | + | 7.30082i | 0.0132835 | + | 0.245000i | ||||
\(889\) | 4.17320 | + | 10.4739i | 0.139965 | + | 0.351285i | ||||
\(890\) | −5.37574 | − | 2.48708i | −0.180195 | − | 0.0833672i | ||||
\(891\) | −3.57247 | − | 2.14949i | −0.119682 | − | 0.0720105i | ||||
\(892\) | 3.28729 | + | 11.8398i | 0.110067 | + | 0.396425i | ||||
\(893\) | 27.9515 | + | 6.15260i | 0.935362 | + | 0.205889i | ||||
\(894\) | −9.96409 | + | 1.08366i | −0.333249 | + | 0.0362430i | ||||
\(895\) | 2.15002 | − | 1.29362i | 0.0718671 | − | 0.0432410i | ||||
\(896\) | −7.28507 | − | 6.90078i | −0.243377 | − | 0.230539i | ||||
\(897\) | 28.4031 | − | 13.1407i | 0.948351 | − | 0.438754i | ||||
\(898\) | 17.4903 | + | 1.90219i | 0.583660 | + | 0.0634769i | ||||
\(899\) | 14.4328 | + | 4.86299i | 0.481362 | + | 0.162190i | ||||
\(900\) | 0.874685 | − | 2.19529i | 0.0291562 | − | 0.0731764i | ||||
\(901\) | 6.13449 | − | 5.81090i | 0.204369 | − | 0.193589i | ||||
\(902\) | −0.0503250 | + | 0.181254i | −0.00167564 | + | 0.00603511i | ||||
\(903\) | −3.40475 | + | 6.42204i | −0.113303 | + | 0.213712i | ||||
\(904\) | −2.08331 | − | 1.58369i | −0.0692898 | − | 0.0526727i | ||||
\(905\) | −2.15658 | + | 39.7757i | −0.0716871 | + | 1.32219i | ||||
\(906\) | 11.8772 | − | 4.00191i | 0.394595 | − | 0.132955i | ||||
\(907\) | 13.3674 | − | 2.94239i | 0.443857 | − | 0.0977003i | 0.0125820 | − | 0.999921i | \(-0.495995\pi\) |
0.431275 | + | 0.902221i | \(0.358064\pi\) | |||||||
\(908\) | −11.8108 | − | 22.2776i | −0.391956 | − | 0.739308i | ||||
\(909\) | 1.43054 | − | 8.72590i | 0.0474480 | − | 0.289420i | ||||
\(910\) | 4.44788 | + | 5.23645i | 0.147446 | + | 0.173587i | ||||
\(911\) | −32.0117 | + | 37.6871i | −1.06060 | + | 1.24863i | −0.0931222 | + | 0.995655i | \(0.529685\pi\) |
−0.967473 | + | 0.252974i | \(0.918591\pi\) | |||||||
\(912\) | −0.753214 | − | 4.59440i | −0.0249414 | − | 0.152136i | ||||
\(913\) | 18.7596 | − | 14.2607i | 0.620852 | − | 0.471960i | ||||
\(914\) | −9.02945 | − | 13.3174i | −0.298668 | − | 0.440502i | ||||
\(915\) | −1.52594 | − | 2.25059i | −0.0504459 | − | 0.0744022i | ||||
\(916\) | −17.5341 | + | 13.3291i | −0.579345 | + | 0.440406i | ||||
\(917\) | 0.136224 | + | 0.830928i | 0.00449850 | + | 0.0274397i | ||||
\(918\) | −1.66903 | + | 1.96494i | −0.0550862 | + | 0.0648525i | ||||
\(919\) | 18.5046 | + | 21.7854i | 0.610412 | + | 0.718632i | 0.977354 | − | 0.211611i | \(-0.0678711\pi\) |
−0.366942 | + | 0.930244i | \(0.619595\pi\) | |||||||
\(920\) | −6.85994 | + | 41.8438i | −0.226165 | + | 1.37955i | ||||
\(921\) | 14.7097 | + | 27.7454i | 0.484700 | + | 0.914242i | ||||
\(922\) | −0.124461 | + | 0.0273958i | −0.00409889 | + | 0.000902234i | ||||
\(923\) | −32.4848 | + | 10.9454i | −1.06925 | + | 0.360272i | ||||
\(924\) | 0.320171 | − | 5.90520i | 0.0105328 | − | 0.194267i | ||||
\(925\) | −3.73295 | − | 2.83772i | −0.122739 | − | 0.0933035i | ||||
\(926\) | −6.25318 | + | 11.7948i | −0.205492 | + | 0.387600i | ||||
\(927\) | 3.60187 | − | 12.9728i | 0.118301 | − | 0.426082i | ||||
\(928\) | 5.94869 | − | 5.63489i | 0.195275 | − | 0.184974i | ||||
\(929\) | −3.68743 | + | 9.25475i | −0.120981 | + | 0.303639i | −0.976977 | − | 0.213343i | \(-0.931565\pi\) |
0.855997 | + | 0.516981i | \(0.172944\pi\) | |||||||
\(930\) | −17.1885 | − | 5.79148i | −0.563633 | − | 0.189910i | ||||
\(931\) | 18.4583 | + | 2.00746i | 0.604946 | + | 0.0657918i | ||||
\(932\) | 19.1076 | − | 8.84010i | 0.625889 | − | 0.289567i | ||||
\(933\) | −6.31969 | − | 5.98633i | −0.206897 | − | 0.195984i | ||||
\(934\) | −22.4301 | + | 13.4957i | −0.733934 | + | 0.441594i | ||||
\(935\) | 41.0674 | − | 4.46635i | 1.34305 | − | 0.146065i | ||||
\(936\) | 10.2807 | + | 2.26296i | 0.336036 | + | 0.0739671i | ||||
\(937\) | −4.28101 | − | 15.4188i | −0.139854 | − | 0.503710i | 0.860125 | − | 0.510083i | \(-0.170385\pi\) |
−0.999980 | + | 0.00637265i | \(0.997972\pi\) | |||||||
\(938\) | 0.364425 | + | 0.219267i | 0.0118989 | + | 0.00715933i | ||||
\(939\) | −13.6055 | − | 6.29458i | −0.443999 | − | 0.205416i | ||||
\(940\) | 14.0125 | + | 35.1687i | 0.457037 | + | 1.14708i | ||||
\(941\) | 1.34287 | + | 24.7678i | 0.0437764 | + | 0.807409i | 0.935174 | + | 0.354187i | \(0.115243\pi\) |
−0.891398 | + | 0.453221i | \(0.850275\pi\) | |||||||
\(942\) | −7.67456 | + | 11.3191i | −0.250051 | + | 0.368797i | ||||
\(943\) | 0.477360 | 0.0155450 | ||||||||
\(944\) | −10.9463 | + | 4.63640i | −0.356270 | + | 0.150902i | ||||
\(945\) | −2.32274 | −0.0755586 | ||||||||
\(946\) | −12.4142 | + | 18.3095i | −0.403620 | + | 0.595294i | ||||
\(947\) | 0.708586 | + | 13.0691i | 0.0230259 | + | 0.424689i | 0.987207 | + | 0.159444i | \(0.0509700\pi\) |
−0.964181 | + | 0.265245i | \(0.914547\pi\) | |||||||
\(948\) | 8.65841 | + | 21.7310i | 0.281212 | + | 0.705789i | ||||
\(949\) | −37.3309 | − | 17.2711i | −1.21181 | − | 0.560644i | ||||
\(950\) | −2.59545 | − | 1.56163i | −0.0842076 | − | 0.0506660i | ||||
\(951\) | 7.78121 | + | 28.0254i | 0.252323 | + | 0.908785i | ||||
\(952\) | −8.15353 | − | 1.79473i | −0.264257 | − | 0.0581674i | ||||
\(953\) | 36.1819 | − | 3.93502i | 1.17205 | − | 0.127468i | 0.498687 | − | 0.866782i | \(-0.333816\pi\) |
0.673360 | + | 0.739314i | \(0.264850\pi\) | |||||||
\(954\) | −1.23894 | + | 0.745448i | −0.0401123 | + | 0.0241348i | ||||
\(955\) | −20.5232 | − | 19.4406i | −0.664114 | − | 0.629082i | ||||
\(956\) | −28.3996 | + | 13.1390i | −0.918508 | + | 0.424947i | ||||
\(957\) | 5.90079 | + | 0.641750i | 0.190745 | + | 0.0207448i | ||||
\(958\) | −24.2656 | − | 8.17603i | −0.783986 | − | 0.264156i | ||||
\(959\) | 0.297031 | − | 0.745492i | 0.00959164 | − | 0.0240732i | ||||
\(960\) | −1.34828 | + | 1.27716i | −0.0435155 | + | 0.0412200i | ||||
\(961\) | 22.3240 | − | 80.4039i | 0.720130 | − | 2.59368i | ||||
\(962\) | 4.28564 | − | 8.08358i | 0.138175 | − | 0.260625i | ||||
\(963\) | 5.38846 | + | 4.09620i | 0.173641 | + | 0.131998i | ||||
\(964\) | 1.46432 | − | 27.0078i | 0.0471627 | − | 0.869864i | ||||
\(965\) | 23.8072 | − | 8.02157i | 0.766380 | − | 0.258224i | ||||
\(966\) | 4.14791 | − | 0.913024i | 0.133457 | − | 0.0293761i | ||||
\(967\) | −5.56883 | − | 10.5039i | −0.179081 | − | 0.337783i | 0.777678 | − | 0.628662i | \(-0.216397\pi\) |
−0.956760 | + | 0.290879i | \(0.906052\pi\) | |||||||
\(968\) | 2.44092 | − | 14.8890i | 0.0784543 | − | 0.478550i | ||||
\(969\) | −7.55931 | − | 8.89950i | −0.242840 | − | 0.285893i | ||||
\(970\) | 18.8836 | − | 22.2315i | 0.606315 | − | 0.713809i | ||||
\(971\) | −3.33053 | − | 20.3153i | −0.106882 | − | 0.651949i | −0.984874 | − | 0.173274i | \(-0.944565\pi\) |
0.877992 | − | 0.478675i | \(-0.158883\pi\) | |||||||
\(972\) | −1.24098 | + | 0.943367i | −0.0398044 | + | 0.0302585i | ||||
\(973\) | 3.43608 | + | 5.06784i | 0.110156 | + | 0.162468i | ||||
\(974\) | −11.0468 | − | 16.2928i | −0.353962 | − | 0.522054i | ||||
\(975\) | −5.37454 | + | 4.08562i | −0.172123 | + | 0.130844i | ||||
\(976\) | −0.266711 | − | 1.62686i | −0.00853721 | − | 0.0520747i | ||||
\(977\) | −16.6518 | + | 19.6041i | −0.532739 | + | 0.627189i | −0.961027 | − | 0.276453i | \(-0.910841\pi\) |
0.428288 | + | 0.903642i | \(0.359117\pi\) | |||||||
\(978\) | 4.90183 | + | 5.77088i | 0.156743 | + | 0.184532i | ||||
\(979\) | 2.35645 | − | 14.3737i | 0.0753123 | − | 0.459385i | ||||
\(980\) | 11.5038 | + | 21.6985i | 0.367475 | + | 0.693132i | ||||
\(981\) | −6.91486 | + | 1.52208i | −0.220775 | + | 0.0485962i | ||||
\(982\) | −22.3012 | + | 7.51416i | −0.711661 | + | 0.239787i | ||||
\(983\) | 0.0146568 | − | 0.270328i | 0.000467478 | − | 0.00862213i | −0.998290 | − | 0.0584495i | \(-0.981384\pi\) |
0.998758 | + | 0.0498273i | \(0.0158671\pi\) | |||||||
\(984\) | 0.127828 | + | 0.0971722i | 0.00407500 | + | 0.00309774i | ||||
\(985\) | −23.5818 | + | 44.4800i | −0.751379 | + | 1.41725i | ||||
\(986\) | 0.981914 | − | 3.53653i | 0.0312705 | − | 0.112626i | ||||
\(987\) | 6.28502 | − | 5.95349i | 0.200055 | − | 0.189502i | ||||
\(988\) | −7.72986 | + | 19.4005i | −0.245920 | + | 0.617212i | ||||
\(989\) | 53.1976 | + | 17.9243i | 1.69158 | + | 0.569961i | ||||
\(990\) | −7.02743 | − | 0.764279i | −0.223346 | − | 0.0242904i | ||||
\(991\) | 40.5732 | − | 18.7712i | 1.28885 | − | 0.596286i | 0.348760 | − | 0.937212i | \(-0.386603\pi\) |
0.940090 | + | 0.340926i | \(0.110741\pi\) | |||||||
\(992\) | −44.7010 | − | 42.3431i | −1.41926 | − | 1.34439i | ||||
\(993\) | 21.5247 | − | 12.9510i | 0.683066 | − | 0.410987i | ||||
\(994\) | −4.62486 | + | 0.502983i | −0.146692 | + | 0.0159537i | ||||
\(995\) | 51.5218 | + | 11.3408i | 1.63335 | + | 0.359528i | ||||
\(996\) | −2.35705 | − | 8.48934i | −0.0746861 | − | 0.268995i | ||||
\(997\) | 19.9071 | + | 11.9777i | 0.630465 | + | 0.379338i | 0.794629 | − | 0.607095i | \(-0.207665\pi\) |
−0.164164 | + | 0.986433i | \(0.552493\pi\) | |||||||
\(998\) | −1.69956 | − | 0.786299i | −0.0537985 | − | 0.0248899i | ||||
\(999\) | 1.14489 | + | 2.87347i | 0.0362228 | + | 0.0909124i |
(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 | 177.2.e.a.76.3 | yes | 140 | |
3.2 | odd | 2 | 531.2.i.c.253.3 | 140 | |||
59.7 | even | 29 | inner | 177.2.e.a.7.3 | ✓ | 140 | |
177.125 | odd | 58 | 531.2.i.c.361.3 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.a.7.3 | ✓ | 140 | 59.7 | even | 29 | inner | |
177.2.e.a.76.3 | yes | 140 | 1.1 | even | 1 | trivial | |
531.2.i.c.253.3 | 140 | 3.2 | odd | 2 | |||
531.2.i.c.361.3 | 140 | 177.125 | odd | 58 |