Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(19,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.t (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 451.4 | ||
Character | \(\chi\) | \(=\) | 552.451 |
Dual form | 552.2.t.a.235.4 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{21}{22}\right)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.29729 | + | 0.563056i | −0.917324 | + | 0.398141i | ||||
\(3\) | 0.654861 | + | 0.755750i | 0.378084 | + | 0.436332i | ||||
\(4\) | 1.36593 | − | 1.46090i | 0.682967 | − | 0.730449i | ||||
\(5\) | 0.355055 | + | 2.46946i | 0.158785 | + | 1.10438i | 0.900876 | + | 0.434077i | \(0.142925\pi\) |
−0.742090 | + | 0.670300i | \(0.766166\pi\) | |||||||
\(6\) | −1.27508 | − | 0.611705i | −0.520547 | − | 0.249727i | ||||
\(7\) | −0.661764 | + | 1.44906i | −0.250123 | + | 0.547693i | −0.992494 | − | 0.122296i | \(-0.960974\pi\) |
0.742370 | + | 0.669990i | \(0.233701\pi\) | |||||||
\(8\) | −0.949449 | + | 2.66431i | −0.335681 | + | 0.941976i | ||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | −1.85106 | − | 3.00370i | −0.585355 | − | 0.949852i | ||||
\(11\) | −0.328891 | + | 1.12010i | −0.0991645 | + | 0.337723i | −0.994099 | − | 0.108474i | \(-0.965404\pi\) |
0.894935 | + | 0.446197i | \(0.147222\pi\) | |||||||
\(12\) | 1.99857 | + | 0.0756203i | 0.576937 | + | 0.0218297i | ||||
\(13\) | −3.21886 | + | 1.47000i | −0.892750 | + | 0.407705i | −0.808333 | − | 0.588725i | \(-0.799630\pi\) |
−0.0844167 | + | 0.996431i | \(0.526903\pi\) | |||||||
\(14\) | 0.0425983 | − | 2.25246i | 0.0113849 | − | 0.601997i | ||||
\(15\) | −1.63378 | + | 1.88549i | −0.421841 | + | 0.486830i | ||||
\(16\) | −0.268443 | − | 3.99098i | −0.0671108 | − | 0.997746i | ||||
\(17\) | −0.248908 | + | 0.387309i | −0.0603691 | + | 0.0939362i | −0.870126 | − | 0.492829i | \(-0.835963\pi\) |
0.809757 | + | 0.586766i | \(0.199599\pi\) | |||||||
\(18\) | −0.372701 | − | 1.36422i | −0.0878466 | − | 0.321550i | ||||
\(19\) | −3.28099 | − | 5.10531i | −0.752710 | − | 1.17124i | −0.980306 | − | 0.197484i | \(-0.936723\pi\) |
0.227597 | − | 0.973756i | \(-0.426913\pi\) | |||||||
\(20\) | 4.09261 | + | 2.85442i | 0.915136 | + | 0.638269i | ||||
\(21\) | −1.52849 | + | 0.448805i | −0.333544 | + | 0.0979373i | ||||
\(22\) | −0.204012 | − | 1.63828i | −0.0434955 | − | 0.349283i | ||||
\(23\) | 4.16216 | + | 2.38252i | 0.867871 | + | 0.496790i | ||||
\(24\) | −2.63531 | + | 1.02721i | −0.537930 | + | 0.209678i | ||||
\(25\) | −1.17471 | + | 0.344926i | −0.234942 | + | 0.0689851i | ||||
\(26\) | 3.34810 | − | 3.71942i | 0.656617 | − | 0.729438i | ||||
\(27\) | −0.841254 | + | 0.540641i | −0.161899 | + | 0.104046i | ||||
\(28\) | 1.21300 | + | 2.94609i | 0.229236 | + | 0.556759i | ||||
\(29\) | −3.40681 | + | 5.30111i | −0.632629 | + | 0.984391i | 0.365925 | + | 0.930644i | \(0.380753\pi\) |
−0.998555 | + | 0.0537464i | \(0.982884\pi\) | |||||||
\(30\) | 1.05786 | − | 3.36594i | 0.193138 | − | 0.614533i | ||||
\(31\) | −0.449612 | − | 0.389591i | −0.0807528 | − | 0.0699727i | 0.613549 | − | 0.789657i | \(-0.289741\pi\) |
−0.694302 | + | 0.719684i | \(0.744287\pi\) | |||||||
\(32\) | 2.59540 | + | 5.02632i | 0.458806 | + | 0.888537i | ||||
\(33\) | −1.06189 | + | 0.484951i | −0.184852 | + | 0.0844191i | ||||
\(34\) | 0.104830 | − | 0.642602i | 0.0179782 | − | 0.110205i | ||||
\(35\) | −3.81336 | − | 1.11970i | −0.644576 | − | 0.189264i | ||||
\(36\) | 1.25163 | + | 1.55994i | 0.208606 | + | 0.259990i | ||||
\(37\) | 0.0548572 | − | 0.381540i | 0.00901847 | − | 0.0627248i | −0.984815 | − | 0.173606i | \(-0.944458\pi\) |
0.993834 | + | 0.110881i | \(0.0353672\pi\) | |||||||
\(38\) | 7.13098 | + | 4.77570i | 1.15680 | + | 0.774721i | ||||
\(39\) | −3.21886 | − | 1.47000i | −0.515429 | − | 0.235389i | ||||
\(40\) | −6.91652 | − | 1.39865i | −1.09360 | − | 0.221146i | ||||
\(41\) | −0.738033 | − | 5.13313i | −0.115261 | − | 0.801661i | −0.962662 | − | 0.270707i | \(-0.912743\pi\) |
0.847400 | − | 0.530954i | \(-0.178166\pi\) | |||||||
\(42\) | 1.73020 | − | 1.44286i | 0.266975 | − | 0.222638i | ||||
\(43\) | 2.16580 | − | 1.87668i | 0.330281 | − | 0.286190i | −0.473895 | − | 0.880581i | \(-0.657152\pi\) |
0.804176 | + | 0.594391i | \(0.202607\pi\) | |||||||
\(44\) | 1.18711 | + | 2.01046i | 0.178963 | + | 0.303088i | ||||
\(45\) | −2.49486 | −0.371911 | ||||||||
\(46\) | −6.74104 | − | 0.747291i | −0.993911 | − | 0.110182i | ||||
\(47\) | 0.152392i | 0.0222287i | 0.999938 | + | 0.0111144i | \(0.00353788\pi\) | ||||
−0.999938 | + | 0.0111144i | \(0.996462\pi\) | |||||||
\(48\) | 2.84039 | − | 2.81641i | 0.409975 | − | 0.406514i | ||||
\(49\) | 2.92218 | + | 3.37238i | 0.417454 | + | 0.481768i | ||||
\(50\) | 1.32973 | − | 1.10890i | 0.188052 | − | 0.156822i | ||||
\(51\) | −0.455709 | + | 0.0655210i | −0.0638120 | + | 0.00917478i | ||||
\(52\) | −2.24922 | + | 6.71035i | −0.311911 | + | 0.930557i | ||||
\(53\) | −3.00967 | + | 6.59027i | −0.413410 | + | 0.905243i | 0.582322 | + | 0.812958i | \(0.302144\pi\) |
−0.995733 | + | 0.0922845i | \(0.970583\pi\) | |||||||
\(54\) | 0.786941 | − | 1.17504i | 0.107089 | − | 0.159903i | ||||
\(55\) | −2.88282 | − | 0.414487i | −0.388719 | − | 0.0558894i | ||||
\(56\) | −3.23243 | − | 3.13895i | −0.431952 | − | 0.419460i | ||||
\(57\) | 1.70975 | − | 5.82287i | 0.226462 | − | 0.771258i | ||||
\(58\) | 1.43481 | − | 8.79531i | 0.188400 | − | 1.15488i | ||||
\(59\) | 0.844965 | + | 1.85022i | 0.110005 | + | 0.240878i | 0.956626 | − | 0.291319i | \(-0.0940941\pi\) |
−0.846621 | + | 0.532196i | \(0.821367\pi\) | |||||||
\(60\) | 0.522861 | + | 4.96224i | 0.0675010 | + | 0.640622i | ||||
\(61\) | −6.17484 | + | 7.12615i | −0.790608 | + | 0.912410i | −0.997827 | − | 0.0658847i | \(-0.979013\pi\) |
0.207220 | + | 0.978294i | \(0.433558\pi\) | |||||||
\(62\) | 0.802641 | + | 0.252257i | 0.101935 | + | 0.0320366i | ||||
\(63\) | −1.34013 | − | 0.861251i | −0.168841 | − | 0.108507i | ||||
\(64\) | −6.19709 | − | 5.05925i | −0.774637 | − | 0.632407i | ||||
\(65\) | −4.77298 | − | 7.42691i | −0.592016 | − | 0.921194i | ||||
\(66\) | 1.10453 | − | 1.22703i | 0.135959 | − | 0.151037i | ||||
\(67\) | 0.430258 | + | 1.46532i | 0.0525643 | + | 0.179018i | 0.981591 | − | 0.190995i | \(-0.0611715\pi\) |
−0.929027 | + | 0.370013i | \(0.879353\pi\) | |||||||
\(68\) | 0.225826 | + | 0.892668i | 0.0273854 | + | 0.108252i | ||||
\(69\) | 0.925049 | + | 4.70577i | 0.111363 | + | 0.566508i | ||||
\(70\) | 5.57750 | − | 0.694554i | 0.666639 | − | 0.0830151i | ||||
\(71\) | −0.422371 | − | 1.43846i | −0.0501262 | − | 0.170714i | 0.930626 | − | 0.365973i | \(-0.119264\pi\) |
−0.980752 | + | 0.195258i | \(0.937445\pi\) | |||||||
\(72\) | −2.50207 | − | 1.31896i | −0.294872 | − | 0.155440i | ||||
\(73\) | −9.07676 | + | 5.83328i | −1.06235 | + | 0.682733i | −0.950416 | − | 0.310982i | \(-0.899342\pi\) |
−0.111938 | + | 0.993715i | \(0.535706\pi\) | |||||||
\(74\) | 0.143663 | + | 0.525857i | 0.0167005 | + | 0.0611296i | ||||
\(75\) | −1.02995 | − | 0.661908i | −0.118928 | − | 0.0764305i | ||||
\(76\) | −11.9400 | − | 2.18034i | −1.36961 | − | 0.250102i | ||||
\(77\) | −1.40545 | − | 1.21783i | −0.160165 | − | 0.138784i | ||||
\(78\) | 5.00349 | + | 0.0946252i | 0.566534 | + | 0.0107142i | ||||
\(79\) | −3.40708 | − | 7.46047i | −0.383327 | − | 0.839369i | −0.998692 | − | 0.0511267i | \(-0.983719\pi\) |
0.615365 | − | 0.788242i | \(-0.289009\pi\) | |||||||
\(80\) | 9.76026 | − | 2.07993i | 1.09123 | − | 0.232543i | ||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 3.84769 | + | 6.24362i | 0.424906 | + | 0.689493i | ||||
\(83\) | 4.37321 | + | 0.628773i | 0.480022 | + | 0.0690168i | 0.378079 | − | 0.925773i | \(-0.376585\pi\) |
0.101944 | + | 0.994790i | \(0.467494\pi\) | |||||||
\(84\) | −1.43216 | + | 2.84601i | −0.156261 | + | 0.310525i | ||||
\(85\) | −1.04482 | − | 0.477153i | −0.113327 | − | 0.0517545i | ||||
\(86\) | −1.75300 | + | 3.65406i | −0.189031 | + | 0.394028i | ||||
\(87\) | −6.23730 | + | 0.896788i | −0.668708 | + | 0.0961458i | ||||
\(88\) | −2.67203 | − | 1.93975i | −0.284839 | − | 0.206778i | ||||
\(89\) | −2.04054 | + | 1.76814i | −0.216297 | + | 0.187423i | −0.756270 | − | 0.654260i | \(-0.772980\pi\) |
0.539972 | + | 0.841683i | \(0.318435\pi\) | |||||||
\(90\) | 3.23656 | − | 1.40474i | 0.341163 | − | 0.148073i | ||||
\(91\) | − | 5.63711i | − | 0.590930i | ||||||
\(92\) | 9.16586 | − | 2.82613i | 0.955607 | − | 0.294644i | ||||
\(93\) | − | 0.594922i | − | 0.0616906i | ||||||
\(94\) | −0.0858055 | − | 0.197698i | −0.00885017 | − | 0.0203909i | ||||
\(95\) | 11.4424 | − | 9.91493i | 1.17397 | − | 1.01725i | ||||
\(96\) | −2.09902 | + | 5.25301i | −0.214230 | + | 0.536133i | ||||
\(97\) | 10.0554 | − | 1.44575i | 1.02097 | − | 0.146794i | 0.388559 | − | 0.921424i | \(-0.372973\pi\) |
0.632414 | + | 0.774630i | \(0.282064\pi\) | |||||||
\(98\) | −5.68976 | − | 2.72961i | −0.574753 | − | 0.275732i | ||||
\(99\) | −1.06189 | − | 0.484951i | −0.106724 | − | 0.0487394i | ||||
\(100\) | −1.10068 | + | 2.18728i | −0.110068 | + | 0.218728i | ||||
\(101\) | −9.63045 | − | 1.38465i | −0.958266 | − | 0.137778i | −0.354603 | − | 0.935017i | \(-0.615384\pi\) |
−0.603663 | + | 0.797239i | \(0.706293\pi\) | |||||||
\(102\) | 0.554295 | − | 0.341590i | 0.0548834 | − | 0.0338224i | ||||
\(103\) | 13.5263 | + | 3.97169i | 1.33279 | + | 0.391342i | 0.869091 | − | 0.494652i | \(-0.164704\pi\) |
0.463697 | + | 0.885994i | \(0.346523\pi\) | |||||||
\(104\) | −0.860401 | − | 9.97172i | −0.0843692 | − | 0.977808i | ||||
\(105\) | −1.65100 | − | 3.61520i | −0.161122 | − | 0.352807i | ||||
\(106\) | 0.193735 | − | 10.2441i | 0.0188172 | − | 0.994997i | ||||
\(107\) | 13.4928 | + | 11.6916i | 1.30440 | + | 1.13027i | 0.983056 | + | 0.183308i | \(0.0586806\pi\) |
0.321346 | + | 0.946962i | \(0.395865\pi\) | |||||||
\(108\) | −0.359277 | + | 1.96747i | −0.0345714 | + | 0.189319i | ||||
\(109\) | 14.7043 | + | 9.44990i | 1.40842 | + | 0.905136i | 0.999971 | − | 0.00764466i | \(-0.00243340\pi\) |
0.408449 | + | 0.912781i | \(0.366070\pi\) | |||||||
\(110\) | 3.97324 | − | 1.08548i | 0.378834 | − | 0.103496i | ||||
\(111\) | 0.324273 | − | 0.208397i | 0.0307786 | − | 0.0197802i | ||||
\(112\) | 5.96082 | + | 2.25210i | 0.563244 | + | 0.212803i | ||||
\(113\) | 0.223923 | + | 0.762610i | 0.0210649 | + | 0.0717403i | 0.969355 | − | 0.245665i | \(-0.0790065\pi\) |
−0.948290 | + | 0.317406i | \(0.897188\pi\) | |||||||
\(114\) | 1.06056 | + | 8.51665i | 0.0993306 | + | 0.797658i | ||||
\(115\) | −4.40574 | + | 11.1242i | −0.410838 | + | 1.03734i | ||||
\(116\) | 3.09089 | + | 12.2180i | 0.286982 | + | 1.13441i | ||||
\(117\) | −0.996949 | − | 3.39530i | −0.0921679 | − | 0.313895i | ||||
\(118\) | −2.13794 | − | 1.92451i | −0.196814 | − | 0.177165i | ||||
\(119\) | −0.396515 | − | 0.616990i | −0.0363485 | − | 0.0565594i | ||||
\(120\) | −3.47232 | − | 6.14308i | −0.316978 | − | 0.560784i | ||||
\(121\) | 8.10733 | + | 5.21027i | 0.737030 | + | 0.473661i | ||||
\(122\) | 3.99815 | − | 12.7215i | 0.361976 | − | 1.15175i | ||||
\(123\) | 3.39605 | − | 3.91926i | 0.306212 | − | 0.353387i | ||||
\(124\) | −1.18329 | + | 0.124681i | −0.106263 | + | 0.0111967i | ||||
\(125\) | 3.91313 | + | 8.56857i | 0.350001 | + | 0.766396i | ||||
\(126\) | 2.22348 | + | 0.362724i | 0.198083 | + | 0.0323140i | ||||
\(127\) | 4.87351 | − | 16.5976i | 0.432454 | − | 1.47280i | −0.398867 | − | 0.917009i | \(-0.630596\pi\) |
0.831320 | − | 0.555794i | \(-0.187585\pi\) | |||||||
\(128\) | 10.8881 | + | 3.07402i | 0.962380 | + | 0.271707i | ||||
\(129\) | 2.83659 | + | 0.407841i | 0.249748 | + | 0.0359084i | ||||
\(130\) | 10.3737 | + | 6.94741i | 0.909836 | + | 0.609328i | ||||
\(131\) | −1.65327 | + | 3.62015i | −0.144446 | + | 0.316294i | −0.968002 | − | 0.250942i | \(-0.919260\pi\) |
0.823556 | + | 0.567235i | \(0.191987\pi\) | |||||||
\(132\) | −0.742015 | + | 2.21373i | −0.0645841 | + | 0.192680i | ||||
\(133\) | 9.56914 | − | 1.37584i | 0.829750 | − | 0.119300i | ||||
\(134\) | −1.38323 | − | 1.65869i | −0.119493 | − | 0.143289i | ||||
\(135\) | −1.63378 | − | 1.88549i | −0.140614 | − | 0.162277i | ||||
\(136\) | −0.795585 | − | 1.03090i | −0.0682208 | − | 0.0883988i | ||||
\(137\) | 11.1642i | 0.953822i | 0.878951 | + | 0.476911i | \(0.158244\pi\) | ||||
−0.878951 | + | 0.476911i | \(0.841756\pi\) | |||||||
\(138\) | −3.84967 | − | 5.58391i | −0.327706 | − | 0.475334i | ||||
\(139\) | 17.1416 | 1.45393 | 0.726964 | − | 0.686676i | \(-0.240931\pi\) | ||||
0.726964 | + | 0.686676i | \(0.240931\pi\) | |||||||
\(140\) | −6.84457 | + | 4.04149i | −0.578472 | + | 0.341568i | ||||
\(141\) | −0.115171 | + | 0.0997958i | −0.00969911 | + | 0.00840432i | ||||
\(142\) | 1.35788 | + | 1.62829i | 0.113950 | + | 0.136643i | ||||
\(143\) | −0.587897 | − | 4.08891i | −0.0491624 | − | 0.341932i | ||||
\(144\) | 3.98856 | + | 0.302265i | 0.332380 | + | 0.0251887i | ||||
\(145\) | −14.3005 | − | 6.53081i | −1.18759 | − | 0.542354i | ||||
\(146\) | 8.49074 | − | 12.6782i | 0.702699 | − | 1.04925i | ||||
\(147\) | −0.635051 | + | 4.41687i | −0.0523781 | + | 0.364298i | ||||
\(148\) | −0.482460 | − | 0.601300i | −0.0396580 | − | 0.0494265i | ||||
\(149\) | −3.16139 | − | 0.928269i | −0.258991 | − | 0.0760467i | 0.149659 | − | 0.988738i | \(-0.452182\pi\) |
−0.408651 | + | 0.912691i | \(0.634001\pi\) | |||||||
\(150\) | 1.70884 | + | 0.278769i | 0.139526 | + | 0.0227614i | ||||
\(151\) | 8.13086 | − | 3.71324i | 0.661680 | − | 0.302179i | −0.0561247 | − | 0.998424i | \(-0.517874\pi\) |
0.717804 | + | 0.696245i | \(0.245147\pi\) | |||||||
\(152\) | 16.7173 | − | 3.89433i | 1.35595 | − | 0.315872i | ||||
\(153\) | −0.347943 | − | 0.301494i | −0.0281295 | − | 0.0243744i | ||||
\(154\) | 2.50898 | + | 0.788530i | 0.202179 | + | 0.0635416i | ||||
\(155\) | 0.802444 | − | 1.24863i | 0.0644538 | − | 0.100292i | ||||
\(156\) | −6.54427 | + | 2.69449i | −0.523961 | + | 0.215732i | ||||
\(157\) | 20.2001 | − | 12.9818i | 1.61214 | − | 1.03606i | 0.651355 | − | 0.758773i | \(-0.274201\pi\) |
0.960787 | − | 0.277287i | \(-0.0894354\pi\) | |||||||
\(158\) | 8.62065 | + | 7.76003i | 0.685822 | + | 0.617355i | ||||
\(159\) | −6.95151 | + | 2.04115i | −0.551290 | + | 0.161873i | ||||
\(160\) | −11.4908 | + | 8.19385i | −0.908427 | + | 0.647781i | ||||
\(161\) | −6.20678 | + | 4.45456i | −0.489163 | + | 0.351069i | ||||
\(162\) | 1.40337 | − | 0.174759i | 0.110259 | − | 0.0137304i | ||||
\(163\) | −12.4413 | + | 3.65310i | −0.974478 | + | 0.286133i | −0.729943 | − | 0.683508i | \(-0.760453\pi\) |
−0.244535 | + | 0.969640i | \(0.578635\pi\) | |||||||
\(164\) | −8.50709 | − | 5.93334i | −0.664292 | − | 0.463316i | ||||
\(165\) | −1.57460 | − | 2.45012i | −0.122582 | − | 0.190742i | ||||
\(166\) | −6.02737 | + | 1.64666i | −0.467815 | + | 0.127806i | ||||
\(167\) | 13.6472 | − | 21.2354i | 1.05605 | − | 1.64325i | 0.347349 | − | 0.937736i | \(-0.387082\pi\) |
0.708701 | − | 0.705509i | \(-0.249282\pi\) | |||||||
\(168\) | 0.255468 | − | 4.49849i | 0.0197098 | − | 0.347066i | ||||
\(169\) | −0.313064 | + | 0.361296i | −0.0240819 | + | 0.0277920i | ||||
\(170\) | 1.62410 | + | 0.0307147i | 0.124563 | + | 0.00235571i | ||||
\(171\) | 5.52028 | − | 2.52103i | 0.422146 | − | 0.192788i | ||||
\(172\) | 0.216710 | − | 5.72743i | 0.0165240 | − | 0.436712i | ||||
\(173\) | −2.52431 | + | 8.59702i | −0.191920 | + | 0.653619i | 0.806161 | + | 0.591696i | \(0.201541\pi\) |
−0.998081 | + | 0.0619229i | \(0.980277\pi\) | |||||||
\(174\) | 7.58666 | − | 4.67535i | 0.575143 | − | 0.354437i | ||||
\(175\) | 0.277562 | − | 1.93048i | 0.0209817 | − | 0.145931i | ||||
\(176\) | 4.55859 | + | 1.01192i | 0.343617 | + | 0.0762760i | ||||
\(177\) | −0.844965 | + | 1.85022i | −0.0635115 | + | 0.139071i | ||||
\(178\) | 1.65162 | − | 3.44274i | 0.123794 | − | 0.258044i | ||||
\(179\) | −1.44381 | − | 10.0420i | −0.107916 | − | 0.750571i | −0.969877 | − | 0.243596i | \(-0.921673\pi\) |
0.861961 | − | 0.506975i | \(-0.169236\pi\) | |||||||
\(180\) | −3.40781 | + | 3.64473i | −0.254003 | + | 0.271662i | ||||
\(181\) | 8.90279 | + | 10.2744i | 0.661739 | + | 0.763688i | 0.983060 | − | 0.183283i | \(-0.0586724\pi\) |
−0.321321 | + | 0.946970i | \(0.604127\pi\) | |||||||
\(182\) | 3.17401 | + | 7.31298i | 0.235273 | + | 0.542074i | ||||
\(183\) | −9.42924 | −0.697030 | ||||||||
\(184\) | −10.2995 | + | 8.82721i | −0.759292 | + | 0.650751i | ||||
\(185\) | 0.961676 | 0.0707038 | ||||||||
\(186\) | 0.334975 | + | 0.771788i | 0.0245615 | + | 0.0565903i | ||||
\(187\) | −0.351961 | − | 0.406185i | −0.0257379 | − | 0.0297032i | ||||
\(188\) | 0.222630 | + | 0.208158i | 0.0162369 | + | 0.0151815i | ||||
\(189\) | −0.226710 | − | 1.57680i | −0.0164907 | − | 0.114696i | ||||
\(190\) | −9.26153 | + | 19.3053i | −0.671902 | + | 1.40055i | ||||
\(191\) | 5.97983 | − | 13.0940i | 0.432685 | − | 0.947449i | −0.560198 | − | 0.828359i | \(-0.689275\pi\) |
0.992883 | − | 0.119090i | \(-0.0379977\pi\) | |||||||
\(192\) | −0.234704 | − | 7.99656i | −0.0169383 | − | 0.577102i | ||||
\(193\) | −1.03961 | + | 7.23064i | −0.0748327 | + | 0.520473i | 0.917583 | + | 0.397544i | \(0.130138\pi\) |
−0.992416 | + | 0.122928i | \(0.960772\pi\) | |||||||
\(194\) | −12.2308 | + | 7.53733i | −0.878119 | + | 0.541149i | ||||
\(195\) | 2.48724 | − | 8.47077i | 0.178115 | − | 0.606604i | ||||
\(196\) | 8.91821 | + | 0.337440i | 0.637015 | + | 0.0241029i | ||||
\(197\) | −19.0765 | + | 8.71195i | −1.35914 | + | 0.620700i | −0.955711 | − | 0.294308i | \(-0.904911\pi\) |
−0.403434 | + | 0.915009i | \(0.632183\pi\) | |||||||
\(198\) | 1.65064 | + | 0.0312167i | 0.117306 | + | 0.00221847i | ||||
\(199\) | −5.48953 | + | 6.33526i | −0.389143 | + | 0.449095i | −0.916192 | − | 0.400740i | \(-0.868753\pi\) |
0.527049 | + | 0.849835i | \(0.323298\pi\) | |||||||
\(200\) | 0.196338 | − | 3.45728i | 0.0138832 | − | 0.244466i | ||||
\(201\) | −0.825658 | + | 1.28475i | −0.0582374 | + | 0.0906192i | ||||
\(202\) | 13.2732 | − | 3.62619i | 0.933896 | − | 0.255138i | ||||
\(203\) | −5.42712 | − | 8.44476i | −0.380909 | − | 0.592706i | ||||
\(204\) | −0.526749 | + | 0.755241i | −0.0368798 | + | 0.0528775i | ||||
\(205\) | 12.4140 | − | 3.64509i | 0.867034 | − | 0.254584i | ||||
\(206\) | −19.7839 | + | 2.46364i | −1.37841 | + | 0.171650i | ||||
\(207\) | −2.95061 | + | 3.78073i | −0.205081 | + | 0.262779i | ||||
\(208\) | 6.73083 | + | 12.4518i | 0.466699 | + | 0.863376i | ||||
\(209\) | 6.79755 | − | 1.99594i | 0.470197 | − | 0.138062i | ||||
\(210\) | 4.17739 | + | 3.76036i | 0.288268 | + | 0.259489i | ||||
\(211\) | 4.16764 | − | 2.67838i | 0.286912 | − | 0.184387i | −0.389266 | − | 0.921125i | \(-0.627271\pi\) |
0.676178 | + | 0.736738i | \(0.263635\pi\) | |||||||
\(212\) | 5.51668 | + | 13.3987i | 0.378887 | + | 0.920226i | ||||
\(213\) | 0.810524 | − | 1.26120i | 0.0555362 | − | 0.0864160i | ||||
\(214\) | −24.0872 | − | 7.57020i | −1.64657 | − | 0.517489i | ||||
\(215\) | 5.40336 | + | 4.68203i | 0.368506 | + | 0.319312i | ||||
\(216\) | −0.641707 | − | 2.75467i | −0.0436626 | − | 0.187432i | ||||
\(217\) | 0.862078 | − | 0.393698i | 0.0585217 | − | 0.0267260i | ||||
\(218\) | −24.3966 | − | 3.97992i | −1.65235 | − | 0.269554i | ||||
\(219\) | −10.3525 | − | 3.03977i | −0.699558 | − | 0.205409i | ||||
\(220\) | −4.54327 | + | 3.64534i | −0.306307 | + | 0.245769i | ||||
\(221\) | 0.231855 | − | 1.61259i | 0.0155963 | − | 0.108474i | ||||
\(222\) | −0.303337 | + | 0.452936i | −0.0203586 | + | 0.0303991i | ||||
\(223\) | 0.923694 | + | 0.421837i | 0.0618551 | + | 0.0282483i | 0.446102 | − | 0.894982i | \(-0.352812\pi\) |
−0.384247 | + | 0.923230i | \(0.625539\pi\) | |||||||
\(224\) | −9.00098 | + | 0.434650i | −0.601403 | + | 0.0290413i | ||||
\(225\) | −0.174236 | − | 1.21184i | −0.0116158 | − | 0.0807893i | ||||
\(226\) | −0.719886 | − | 0.863247i | −0.0478861 | − | 0.0574224i | ||||
\(227\) | −14.9638 | + | 12.9662i | −0.993185 | + | 0.860600i | −0.990237 | − | 0.139396i | \(-0.955484\pi\) |
−0.00294808 | + | 0.999996i | \(0.500938\pi\) | |||||||
\(228\) | −6.17121 | − | 10.4514i | −0.408699 | − | 0.692163i | ||||
\(229\) | −3.05617 | −0.201957 | −0.100979 | − | 0.994889i | \(-0.532197\pi\) | ||||
−0.100979 | + | 0.994889i | \(0.532197\pi\) | |||||||
\(230\) | −0.548031 | − | 16.9121i | −0.0361361 | − | 1.11515i | ||||
\(231\) | − | 1.85967i | − | 0.122357i | ||||||
\(232\) | −10.8892 | − | 14.1099i | −0.714910 | − | 0.926363i | ||||
\(233\) | 8.31228 | + | 9.59288i | 0.544555 | + | 0.628450i | 0.959606 | − | 0.281348i | \(-0.0907815\pi\) |
−0.415050 | + | 0.909798i | \(0.636236\pi\) | |||||||
\(234\) | 3.20508 | + | 3.84335i | 0.209522 | + | 0.251248i | ||||
\(235\) | −0.376327 | + | 0.0541077i | −0.0245489 | + | 0.00352960i | ||||
\(236\) | 3.85714 | + | 1.29287i | 0.251079 | + | 0.0841585i | ||||
\(237\) | 3.40708 | − | 7.46047i | 0.221314 | − | 0.484610i | ||||
\(238\) | 0.861796 | + | 0.577156i | 0.0558620 | + | 0.0374114i | ||||
\(239\) | −22.2208 | − | 3.19486i | −1.43734 | − | 0.206658i | −0.620811 | − | 0.783961i | \(-0.713196\pi\) |
−0.816531 | + | 0.577302i | \(0.804106\pi\) | |||||||
\(240\) | 7.96352 | + | 6.01425i | 0.514043 | + | 0.388218i | ||||
\(241\) | 8.46626 | − | 28.8334i | 0.545360 | − | 1.85732i | 0.0314049 | − | 0.999507i | \(-0.490002\pi\) |
0.513955 | − | 0.857817i | \(-0.328180\pi\) | |||||||
\(242\) | −13.4513 | − | 2.19435i | −0.864679 | − | 0.141058i | ||||
\(243\) | −0.415415 | − | 0.909632i | −0.0266489 | − | 0.0583529i | ||||
\(244\) | 1.97614 | + | 18.7547i | 0.126509 | + | 1.20064i | ||||
\(245\) | −7.29042 | + | 8.41359i | −0.465768 | + | 0.537525i | ||||
\(246\) | −2.19891 | + | 6.99659i | −0.140198 | + | 0.446086i | ||||
\(247\) | 18.0658 | + | 11.6102i | 1.14950 | + | 0.738740i | ||||
\(248\) | 1.46488 | − | 0.828009i | 0.0930197 | − | 0.0525786i | ||||
\(249\) | 2.38865 | + | 3.71681i | 0.151375 | + | 0.235543i | ||||
\(250\) | −9.90107 | − | 8.91262i | −0.626198 | − | 0.563684i | ||||
\(251\) | −4.99982 | − | 17.0278i | −0.315586 | − | 1.07479i | −0.952673 | − | 0.303995i | \(-0.901679\pi\) |
0.637088 | − | 0.770791i | \(-0.280139\pi\) | |||||||
\(252\) | −3.08873 | + | 0.781383i | −0.194572 | + | 0.0492225i | ||||
\(253\) | −4.03756 | + | 3.87845i | −0.253839 | + | 0.243836i | ||||
\(254\) | 3.02304 | + | 24.2761i | 0.189683 | + | 1.52322i | ||||
\(255\) | −0.323603 | − | 1.10209i | −0.0202648 | − | 0.0690156i | ||||
\(256\) | −15.8559 | + | 2.14271i | −0.990992 | + | 0.133919i | ||||
\(257\) | 6.88489 | − | 4.42465i | 0.429468 | − | 0.276002i | −0.307998 | − | 0.951387i | \(-0.599659\pi\) |
0.737465 | + | 0.675385i | \(0.236022\pi\) | |||||||
\(258\) | −3.90953 | + | 1.06807i | −0.243397 | + | 0.0664954i | ||||
\(259\) | 0.516572 | + | 0.331981i | 0.0320982 | + | 0.0206283i | ||||
\(260\) | −17.3695 | − | 3.17183i | −1.07721 | − | 0.196709i | ||||
\(261\) | −4.76231 | − | 4.12656i | −0.294779 | − | 0.255428i | ||||
\(262\) | 0.106422 | − | 5.62727i | 0.00657477 | − | 0.347654i | ||||
\(263\) | 7.81443 | + | 17.1112i | 0.481859 | + | 1.05512i | 0.981948 | + | 0.189150i | \(0.0605731\pi\) |
−0.500090 | + | 0.865974i | \(0.666700\pi\) | |||||||
\(264\) | −0.283844 | − | 3.28965i | −0.0174694 | − | 0.202464i | ||||
\(265\) | −17.3430 | − | 5.09237i | −1.06537 | − | 0.312822i | ||||
\(266\) | −11.6393 | + | 7.17283i | −0.713651 | + | 0.439794i | ||||
\(267\) | −2.67255 | − | 0.384254i | −0.163557 | − | 0.0235160i | ||||
\(268\) | 2.72839 | + | 1.37297i | 0.166663 | + | 0.0838677i | ||||
\(269\) | −24.1204 | − | 11.0154i | −1.47065 | − | 0.671622i | −0.490781 | − | 0.871283i | \(-0.663289\pi\) |
−0.979865 | + | 0.199661i | \(0.936016\pi\) | |||||||
\(270\) | 3.18113 | + | 1.52611i | 0.193597 | + | 0.0928764i | ||||
\(271\) | −9.68007 | + | 1.39178i | −0.588023 | + | 0.0845449i | −0.429903 | − | 0.902875i | \(-0.641452\pi\) |
−0.158120 | + | 0.987420i | \(0.550543\pi\) | |||||||
\(272\) | 1.61256 | + | 0.889418i | 0.0977758 | + | 0.0539289i | ||||
\(273\) | 4.26024 | − | 3.69152i | 0.257842 | − | 0.223421i | ||||
\(274\) | −6.28608 | − | 14.4832i | −0.379756 | − | 0.874964i | ||||
\(275\) | − | 1.42924i | − | 0.0861862i | ||||||
\(276\) | 8.13821 | + | 5.07638i | 0.489863 | + | 0.305562i | ||||
\(277\) | − | 27.1057i | − | 1.62862i | −0.580428 | − | 0.814312i | \(-0.697115\pi\) | ||
0.580428 | − | 0.814312i | \(-0.302885\pi\) | |||||||
\(278\) | −22.2376 | + | 9.65166i | −1.33372 | + | 0.578868i | ||||
\(279\) | 0.449612 | − | 0.389591i | 0.0269176 | − | 0.0233242i | ||||
\(280\) | 6.60383 | − | 9.09687i | 0.394654 | − | 0.543642i | ||||
\(281\) | 27.6574 | − | 3.97653i | 1.64990 | − | 0.237220i | 0.746304 | − | 0.665605i | \(-0.231826\pi\) |
0.903596 | + | 0.428385i | \(0.140917\pi\) | |||||||
\(282\) | 0.0932192 | − | 0.194312i | 0.00555112 | − | 0.0115711i | ||||
\(283\) | 8.58107 | + | 3.91884i | 0.510092 | + | 0.232951i | 0.653798 | − | 0.756669i | \(-0.273175\pi\) |
−0.143706 | + | 0.989620i | \(0.545902\pi\) | |||||||
\(284\) | −2.67838 | − | 1.34781i | −0.158933 | − | 0.0799777i | ||||
\(285\) | 14.9864 | + | 2.15472i | 0.887718 | + | 0.127635i | ||||
\(286\) | 3.06496 | + | 4.97350i | 0.181235 | + | 0.294089i | ||||
\(287\) | 7.92662 | + | 2.32747i | 0.467894 | + | 0.137386i | ||||
\(288\) | −5.34452 | + | 1.85366i | −0.314929 | + | 0.109228i | ||||
\(289\) | 6.97400 | + | 15.2709i | 0.410235 | + | 0.898290i | ||||
\(290\) | 22.2291 | + | 0.420394i | 1.30534 | + | 0.0246864i | ||||
\(291\) | 7.67752 | + | 6.65261i | 0.450064 | + | 0.389983i | ||||
\(292\) | −3.87644 | + | 21.2281i | −0.226851 | + | 1.24228i | ||||
\(293\) | −13.2940 | − | 8.54354i | −0.776644 | − | 0.499119i | 0.0912742 | − | 0.995826i | \(-0.470906\pi\) |
−0.867918 | + | 0.496707i | \(0.834542\pi\) | |||||||
\(294\) | −1.66310 | − | 6.08755i | −0.0969941 | − | 0.355033i | ||||
\(295\) | −4.26903 | + | 2.74354i | −0.248552 | + | 0.159735i | ||||
\(296\) | 0.964457 | + | 0.508410i | 0.0560579 | + | 0.0295507i | ||||
\(297\) | −0.328891 | − | 1.12010i | −0.0190842 | − | 0.0649948i | ||||
\(298\) | 4.62392 | − | 0.575807i | 0.267856 | − | 0.0333556i | ||||
\(299\) | −16.8997 | − | 1.55060i | −0.977335 | − | 0.0896733i | ||||
\(300\) | −2.37382 | + | 0.600526i | −0.137053 | + | 0.0346714i | ||||
\(301\) | 1.28617 | + | 4.38029i | 0.0741335 | + | 0.252476i | ||||
\(302\) | −8.45734 | + | 9.39529i | −0.486665 | + | 0.540638i | ||||
\(303\) | −5.26016 | − | 8.18497i | −0.302188 | − | 0.470214i | ||||
\(304\) | −19.4945 | + | 14.4648i | −1.11808 | + | 0.829616i | ||||
\(305\) | −19.7902 | − | 12.7184i | −1.13318 | − | 0.728251i | ||||
\(306\) | 0.621142 | + | 0.195215i | 0.0355083 | + | 0.0111597i | ||||
\(307\) | −10.1858 | + | 11.7551i | −0.581335 | + | 0.670897i | −0.967891 | − | 0.251369i | \(-0.919119\pi\) |
0.386556 | + | 0.922266i | \(0.373665\pi\) | |||||||
\(308\) | −3.69886 | + | 0.389741i | −0.210762 | + | 0.0222076i | ||||
\(309\) | 5.85626 | + | 12.8234i | 0.333151 | + | 0.729499i | ||||
\(310\) | −0.337957 | + | 2.07165i | −0.0191947 | + | 0.117662i | ||||
\(311\) | 4.21937 | − | 14.3699i | 0.239259 | − | 0.814840i | −0.749068 | − | 0.662493i | \(-0.769499\pi\) |
0.988327 | − | 0.152348i | \(-0.0486833\pi\) | |||||||
\(312\) | 6.97268 | − | 7.18034i | 0.394750 | − | 0.406506i | ||||
\(313\) | −4.90386 | − | 0.705069i | −0.277183 | − | 0.0398528i | 0.00232165 | − | 0.999997i | \(-0.499261\pi\) |
−0.279504 | + | 0.960144i | \(0.590170\pi\) | |||||||
\(314\) | −18.8959 | + | 28.2150i | −1.06636 | + | 1.59226i | ||||
\(315\) | 1.65100 | − | 3.61520i | 0.0930236 | − | 0.203693i | ||||
\(316\) | −15.5528 | − | 5.21312i | −0.874916 | − | 0.293261i | ||||
\(317\) | 20.4943 | − | 2.94664i | 1.15108 | − | 0.165500i | 0.459754 | − | 0.888047i | \(-0.347938\pi\) |
0.691322 | + | 0.722547i | \(0.257029\pi\) | |||||||
\(318\) | 7.86886 | − | 6.56205i | 0.441264 | − | 0.367982i | ||||
\(319\) | −4.81730 | − | 5.55946i | −0.269717 | − | 0.311270i | ||||
\(320\) | 10.2933 | − | 17.0998i | 0.575414 | − | 0.955907i | ||||
\(321\) | 17.8536i | 0.996489i | ||||||||
\(322\) | 5.54384 | − | 9.27364i | 0.308946 | − | 0.516800i | ||||
\(323\) | 2.79400 | 0.155462 | ||||||||
\(324\) | −1.72219 | + | 1.01689i | −0.0956771 | + | 0.0564940i | ||||
\(325\) | 3.27418 | − | 2.83709i | 0.181619 | − | 0.157373i | ||||
\(326\) | 14.0831 | − | 11.7443i | 0.779991 | − | 0.650456i | ||||
\(327\) | 2.48753 | + | 17.3012i | 0.137561 | + | 0.956757i | ||||
\(328\) | 14.3770 | + | 2.90730i | 0.793836 | + | 0.160529i | ||||
\(329\) | −0.220826 | − | 0.100848i | −0.0121745 | − | 0.00555992i | ||||
\(330\) | 3.42227 | + | 2.29194i | 0.188390 | + | 0.126167i | ||||
\(331\) | −4.14372 | + | 28.8202i | −0.227759 | + | 1.58410i | 0.479755 | + | 0.877403i | \(0.340726\pi\) |
−0.707514 | + | 0.706699i | \(0.750183\pi\) | |||||||
\(332\) | 6.89210 | − | 5.52995i | 0.378253 | − | 0.303496i | ||||
\(333\) | 0.369850 | + | 0.108598i | 0.0202676 | + | 0.00595112i | ||||
\(334\) | −5.74763 | + | 35.2327i | −0.314497 | + | 1.92785i | ||||
\(335\) | −3.46579 | + | 1.58277i | −0.189356 | + | 0.0864762i | ||||
\(336\) | 2.20149 | + | 5.97970i | 0.120101 | + | 0.326219i | ||||
\(337\) | 19.7582 | + | 17.1206i | 1.07630 | + | 0.932617i | 0.997930 | − | 0.0643070i | \(-0.0204837\pi\) |
0.0783678 | + | 0.996925i | \(0.475029\pi\) | |||||||
\(338\) | 0.202706 | − | 0.644979i | 0.0110258 | − | 0.0350822i | ||||
\(339\) | −0.429704 | + | 0.668633i | −0.0233383 | + | 0.0363152i | ||||
\(340\) | −2.12423 | + | 0.874615i | −0.115202 | + | 0.0474326i | ||||
\(341\) | 0.584255 | − | 0.375478i | 0.0316392 | − | 0.0203333i | ||||
\(342\) | −5.74194 | + | 6.37874i | −0.310488 | + | 0.344923i | ||||
\(343\) | −17.5200 | + | 5.14434i | −0.945991 | + | 0.277768i | ||||
\(344\) | 2.94373 | + | 7.55217i | 0.158715 | + | 0.407186i | ||||
\(345\) | −11.2923 | + | 3.95518i | −0.607956 | + | 0.212940i | ||||
\(346\) | −1.56583 | − | 12.5742i | −0.0841798 | − | 0.675992i | ||||
\(347\) | 18.2402 | − | 5.35580i | 0.979185 | − | 0.287515i | 0.247297 | − | 0.968940i | \(-0.420458\pi\) |
0.731888 | + | 0.681425i | \(0.238639\pi\) | |||||||
\(348\) | −7.20963 | + | 10.3370i | −0.386477 | + | 0.554122i | ||||
\(349\) | 1.36890 | + | 2.13004i | 0.0732753 | + | 0.114019i | 0.875957 | − | 0.482389i | \(-0.160231\pi\) |
−0.802682 | + | 0.596407i | \(0.796594\pi\) | |||||||
\(350\) | 0.726892 | + | 2.66068i | 0.0388540 | + | 0.142220i | ||||
\(351\) | 1.91313 | − | 2.97689i | 0.102115 | − | 0.158895i | ||||
\(352\) | −6.48359 | + | 1.25399i | −0.345577 | + | 0.0668381i | ||||
\(353\) | −3.55220 | + | 4.09946i | −0.189065 | + | 0.218192i | −0.842366 | − | 0.538906i | \(-0.818838\pi\) |
0.653301 | + | 0.757098i | \(0.273383\pi\) | |||||||
\(354\) | 0.0543911 | − | 2.87603i | 0.00289085 | − | 0.152859i | ||||
\(355\) | 3.40227 | − | 1.55376i | 0.180574 | − | 0.0824652i | ||||
\(356\) | −0.204177 | + | 5.39619i | −0.0108214 | + | 0.285998i | ||||
\(357\) | 0.206628 | − | 0.703709i | 0.0109359 | − | 0.0372442i | ||||
\(358\) | 7.52724 | + | 12.2144i | 0.397827 | + | 0.645551i | ||||
\(359\) | −4.82189 | + | 33.5370i | −0.254490 | + | 1.77001i | 0.316049 | + | 0.948743i | \(0.397644\pi\) |
−0.570538 | + | 0.821271i | \(0.693265\pi\) | |||||||
\(360\) | 2.36874 | − | 6.64707i | 0.124843 | − | 0.350331i | ||||
\(361\) | −7.40647 | + | 16.2179i | −0.389814 | + | 0.853574i | ||||
\(362\) | −17.3346 | − | 8.31608i | −0.911085 | − | 0.437084i | ||||
\(363\) | 1.37152 | + | 9.53911i | 0.0719860 | + | 0.500674i | ||||
\(364\) | −8.23524 | − | 7.69992i | −0.431644 | − | 0.403586i | ||||
\(365\) | −17.6278 | − | 20.3436i | −0.922681 | − | 1.06483i | ||||
\(366\) | 12.2325 | − | 5.30920i | 0.639402 | − | 0.277516i | ||||
\(367\) | −0.148696 | −0.00776187 | −0.00388093 | − | 0.999992i | \(-0.501235\pi\) | ||||
−0.00388093 | + | 0.999992i | \(0.501235\pi\) | |||||||
\(368\) | 8.39129 | − | 17.2507i | 0.437426 | − | 0.899254i | ||||
\(369\) | 5.18592 | 0.269968 | ||||||||
\(370\) | −1.24757 | + | 0.541478i | −0.0648583 | + | 0.0281501i | ||||
\(371\) | −7.55800 | − | 8.72240i | −0.392392 | − | 0.452844i | ||||
\(372\) | −0.869121 | − | 0.812625i | −0.0450618 | − | 0.0421327i | ||||
\(373\) | −2.10294 | − | 14.6263i | −0.108886 | − | 0.757319i | −0.968972 | − | 0.247170i | \(-0.920499\pi\) |
0.860086 | − | 0.510149i | \(-0.170410\pi\) | |||||||
\(374\) | 0.685301 | + | 0.328766i | 0.0354361 | + | 0.0170001i | ||||
\(375\) | −3.91313 | + | 8.56857i | −0.202073 | + | 0.442479i | ||||
\(376\) | −0.406021 | − | 0.144689i | −0.0209389 | − | 0.00746176i | ||||
\(377\) | 3.17341 | − | 22.0715i | 0.163439 | − | 1.13674i | ||||
\(378\) | 1.18194 | + | 1.91792i | 0.0607924 | + | 0.0986474i | ||||
\(379\) | 3.30513 | − | 11.2562i | 0.169773 | − | 0.578194i | −0.830018 | − | 0.557737i | \(-0.811670\pi\) |
0.999791 | − | 0.0204566i | \(-0.00651200\pi\) | |||||||
\(380\) | 1.14493 | − | 30.2594i | 0.0587337 | − | 1.55227i | ||||
\(381\) | 15.7351 | − | 7.18599i | 0.806135 | − | 0.368150i | ||||
\(382\) | −0.384927 | + | 20.3537i | −0.0196946 | + | 1.04139i | ||||
\(383\) | 9.84466 | − | 11.3613i | 0.503039 | − | 0.580537i | −0.446264 | − | 0.894901i | \(-0.647246\pi\) |
0.949303 | + | 0.314364i | \(0.101791\pi\) | |||||||
\(384\) | 4.80699 | + | 10.2417i | 0.245306 | + | 0.522646i | ||||
\(385\) | 2.50836 | − | 3.90309i | 0.127838 | − | 0.198920i | ||||
\(386\) | −2.72258 | − | 9.96561i | −0.138576 | − | 0.507236i | ||||
\(387\) | 1.54935 | + | 2.41083i | 0.0787578 | + | 0.122550i | ||||
\(388\) | 11.6230 | − | 16.6647i | 0.590066 | − | 0.846024i | ||||
\(389\) | −4.68156 | + | 1.37463i | −0.237364 | + | 0.0696964i | −0.398251 | − | 0.917276i | \(-0.630383\pi\) |
0.160887 | + | 0.986973i | \(0.448565\pi\) | |||||||
\(390\) | 1.54284 | + | 12.3895i | 0.0781248 | + | 0.627368i | ||||
\(391\) | −1.95877 | + | 1.01901i | −0.0990591 | + | 0.0515337i | ||||
\(392\) | −11.7595 | + | 4.58369i | −0.593945 | + | 0.231512i | ||||
\(393\) | −3.81858 | + | 1.12124i | −0.192622 | + | 0.0565589i | ||||
\(394\) | 19.8425 | − | 22.0431i | 0.999650 | − | 1.11051i | ||||
\(395\) | 17.2136 | − | 11.0625i | 0.866112 | − | 0.556617i | ||||
\(396\) | −2.15894 | + | 0.888907i | −0.108491 | + | 0.0446693i | ||||
\(397\) | 5.15396 | − | 8.01972i | 0.258670 | − | 0.402498i | −0.687492 | − | 0.726192i | \(-0.741288\pi\) |
0.946162 | + | 0.323694i | \(0.104925\pi\) | |||||||
\(398\) | 3.55442 | − | 11.3096i | 0.178167 | − | 0.566899i | ||||
\(399\) | 7.30624 | + | 6.33090i | 0.365770 | + | 0.316941i | ||||
\(400\) | 1.69194 | + | 4.59565i | 0.0845968 | + | 0.229782i | ||||
\(401\) | −3.96461 | + | 1.81058i | −0.197983 | + | 0.0904159i | −0.511939 | − | 0.859022i | \(-0.671073\pi\) |
0.313956 | + | 0.949437i | \(0.398345\pi\) | |||||||
\(402\) | 0.347734 | − | 2.13159i | 0.0173434 | − | 0.106314i | ||||
\(403\) | 2.01994 | + | 0.593107i | 0.100620 | + | 0.0295448i | ||||
\(404\) | −15.1774 | + | 12.1778i | −0.755104 | + | 0.605866i | ||||
\(405\) | 0.355055 | − | 2.46946i | 0.0176428 | − | 0.122709i | ||||
\(406\) | 11.7954 | + | 7.89955i | 0.585397 | + | 0.392048i | ||||
\(407\) | 0.409321 | + | 0.186931i | 0.0202893 | + | 0.00926582i | ||||
\(408\) | 0.258104 | − | 1.27636i | 0.0127781 | − | 0.0631891i | ||||
\(409\) | −3.34599 | − | 23.2718i | −0.165448 | − | 1.15072i | −0.888148 | − | 0.459557i | \(-0.848008\pi\) |
0.722700 | − | 0.691162i | \(-0.242901\pi\) | |||||||
\(410\) | −14.0522 | + | 11.7185i | −0.693991 | + | 0.578738i | ||||
\(411\) | −8.43734 | + | 7.31100i | −0.416183 | + | 0.360625i | ||||
\(412\) | 24.2783 | − | 14.3355i | 1.19611 | − | 0.706260i | ||||
\(413\) | −3.24024 | −0.159442 | ||||||||
\(414\) | 1.69903 | − | 6.56607i | 0.0835030 | − | 0.322705i | ||||
\(415\) | 11.0227i | 0.541084i | ||||||||
\(416\) | −15.7429 | − | 12.3638i | −0.771860 | − | 0.606183i | ||||
\(417\) | 11.2253 | + | 12.9547i | 0.549707 | + | 0.634395i | ||||
\(418\) | −7.69459 | + | 6.41673i | −0.376355 | + | 0.313852i | ||||
\(419\) | 38.5245 | − | 5.53898i | 1.88204 | − | 0.270597i | 0.896888 | − | 0.442259i | \(-0.145823\pi\) |
0.985156 | + | 0.171662i | \(0.0549135\pi\) | |||||||
\(420\) | −7.53659 | − | 2.52617i | −0.367748 | − | 0.123265i | ||||
\(421\) | 12.2693 | − | 26.8659i | 0.597967 | − | 1.30936i | −0.332540 | − | 0.943089i | \(-0.607905\pi\) |
0.930506 | − | 0.366276i | \(-0.119367\pi\) | |||||||
\(422\) | −3.89857 | + | 5.82125i | −0.189779 | + | 0.283374i | ||||
\(423\) | −0.150841 | − | 0.0216877i | −0.00733416 | − | 0.00105449i | ||||
\(424\) | −14.7010 | − | 14.2758i | −0.713942 | − | 0.693295i | ||||
\(425\) | 0.158802 | − | 0.540830i | 0.00770303 | − | 0.0262341i | ||||
\(426\) | −0.341360 | + | 2.09252i | −0.0165389 | + | 0.101383i | ||||
\(427\) | −6.23993 | − | 13.6635i | −0.301971 | − | 0.661225i | ||||
\(428\) | 35.5106 | − | 3.74167i | 1.71647 | − | 0.180861i | ||||
\(429\) | 2.70520 | − | 3.12197i | 0.130608 | − | 0.150730i | ||||
\(430\) | −9.64598 | − | 3.03157i | −0.465170 | − | 0.146195i | ||||
\(431\) | −4.91567 | − | 3.15911i | −0.236780 | − | 0.152169i | 0.416870 | − | 0.908966i | \(-0.363127\pi\) |
−0.653650 | + | 0.756797i | \(0.726763\pi\) | |||||||
\(432\) | 2.38352 | + | 3.21230i | 0.114677 | + | 0.154552i | ||||
\(433\) | −9.33229 | − | 14.5213i | −0.448481 | − | 0.697850i | 0.541239 | − | 0.840869i | \(-0.317955\pi\) |
−0.989720 | + | 0.143019i | \(0.954319\pi\) | |||||||
\(434\) | −0.896693 | + | 0.996140i | −0.0430427 | + | 0.0478163i | ||||
\(435\) | −4.42917 | − | 15.0844i | −0.212362 | − | 0.723239i | ||||
\(436\) | 33.8905 | − | 8.57358i | 1.62306 | − | 0.410600i | ||||
\(437\) | −1.49249 | − | 29.0662i | −0.0713955 | − | 1.39042i | ||||
\(438\) | 15.1418 | − | 1.88557i | 0.723503 | − | 0.0900962i | ||||
\(439\) | 2.62016 | + | 8.92345i | 0.125054 | + | 0.425893i | 0.998091 | − | 0.0617598i | \(-0.0196713\pi\) |
−0.873038 | + | 0.487653i | \(0.837853\pi\) | |||||||
\(440\) | 3.84141 | − | 7.28719i | 0.183132 | − | 0.347403i | ||||
\(441\) | −3.75392 | + | 2.41250i | −0.178758 | + | 0.114881i | ||||
\(442\) | 0.607194 | + | 2.22254i | 0.0288813 | + | 0.105716i | ||||
\(443\) | −3.70422 | − | 2.38056i | −0.175993 | − | 0.113104i | 0.449679 | − | 0.893190i | \(-0.351539\pi\) |
−0.625671 | + | 0.780087i | \(0.715175\pi\) | |||||||
\(444\) | 0.138488 | − | 0.758386i | 0.00657236 | − | 0.0359914i | ||||
\(445\) | −5.09086 | − | 4.41126i | −0.241330 | − | 0.209114i | ||||
\(446\) | −1.43582 | − | 0.0271540i | −0.0679880 | − | 0.00128578i | ||||
\(447\) | −1.36873 | − | 2.99711i | −0.0647389 | − | 0.141758i | ||||
\(448\) | 11.4322 | − | 5.63193i | 0.540119 | − | 0.266084i | ||||
\(449\) | −37.6331 | − | 11.0501i | −1.77602 | − | 0.521486i | −0.781301 | − | 0.624154i | \(-0.785444\pi\) |
−0.994716 | + | 0.102669i | \(0.967262\pi\) | |||||||
\(450\) | 0.908370 | + | 1.47401i | 0.0428210 | + | 0.0694853i | ||||
\(451\) | 5.99236 | + | 0.861571i | 0.282169 | + | 0.0405698i | ||||
\(452\) | 1.41996 | + | 0.714548i | 0.0667893 | + | 0.0336095i | ||||
\(453\) | 8.13086 | + | 3.71324i | 0.382021 | + | 0.174463i | ||||
\(454\) | 12.1117 | − | 25.2465i | 0.568433 | − | 1.18488i | ||||
\(455\) | 13.9206 | − | 2.00148i | 0.652609 | − | 0.0938310i | ||||
\(456\) | 13.8906 | + | 10.0838i | 0.650488 | + | 0.472218i | ||||
\(457\) | −6.17266 | + | 5.34864i | −0.288745 | + | 0.250199i | −0.787173 | − | 0.616732i | \(-0.788456\pi\) |
0.498428 | + | 0.866931i | \(0.333911\pi\) | |||||||
\(458\) | 3.96475 | − | 1.72080i | 0.185260 | − | 0.0804075i | ||||
\(459\) | − | 0.460395i | − | 0.0214894i | ||||||
\(460\) | 10.2334 | + | 21.6313i | 0.477135 | + | 1.00856i | ||||
\(461\) | − | 10.0301i | − | 0.467147i | −0.972339 | − | 0.233573i | \(-0.924958\pi\) | ||
0.972339 | − | 0.233573i | \(-0.0750419\pi\) | |||||||
\(462\) | 1.04710 | + | 2.41254i | 0.0487155 | + | 0.112241i | ||||
\(463\) | −24.1947 | + | 20.9648i | −1.12442 | + | 0.974318i | −0.999840 | − | 0.0178915i | \(-0.994305\pi\) |
−0.124583 | + | 0.992209i | \(0.539759\pi\) | |||||||
\(464\) | 22.0712 | + | 12.1735i | 1.02463 | + | 0.565140i | ||||
\(465\) | 1.46914 | − | 0.211230i | 0.0681296 | − | 0.00979556i | ||||
\(466\) | −16.1848 | − | 7.76449i | −0.749746 | − | 0.359683i | ||||
\(467\) | 14.7942 | + | 6.75629i | 0.684595 | + | 0.312644i | 0.727178 | − | 0.686449i | \(-0.240832\pi\) |
−0.0425833 | + | 0.999093i | \(0.513559\pi\) | |||||||
\(468\) | −6.32195 | − | 3.18131i | −0.292232 | − | 0.147056i | ||||
\(469\) | −2.40807 | − | 0.346228i | −0.111194 | − | 0.0159873i | ||||
\(470\) | 0.457741 | − | 0.282087i | 0.0211140 | − | 0.0130117i | ||||
\(471\) | 23.0392 | + | 6.76493i | 1.06159 | + | 0.311711i | ||||
\(472\) | −5.73180 | + | 0.494563i | −0.263827 | + | 0.0227641i | ||||
\(473\) | 1.38975 | + | 3.04314i | 0.0639009 | + | 0.139924i | ||||
\(474\) | −0.219317 | + | 11.5968i | −0.0100736 | + | 0.532658i | ||||
\(475\) | 5.61516 | + | 4.86556i | 0.257641 | + | 0.223247i | ||||
\(476\) | −1.44297 | − | 0.263500i | −0.0661386 | − | 0.0120775i | ||||
\(477\) | −6.09486 | − | 3.91693i | −0.279065 | − | 0.179344i | ||||
\(478\) | 30.6257 | − | 8.36687i | 1.40079 | − | 0.382692i | ||||
\(479\) | −18.7818 | + | 12.0703i | −0.858163 | + | 0.551508i | −0.894111 | − | 0.447846i | \(-0.852191\pi\) |
0.0359476 | + | 0.999354i | \(0.488555\pi\) | |||||||
\(480\) | −13.7174 | − | 3.31833i | −0.626110 | − | 0.151460i | ||||
\(481\) | 0.384287 | + | 1.30876i | 0.0175220 | + | 0.0596745i | ||||
\(482\) | 5.25163 | + | 42.1724i | 0.239205 | + | 1.92090i | ||||
\(483\) | −7.43111 | − | 1.77366i | −0.338127 | − | 0.0807041i | ||||
\(484\) | 18.6858 | − | 4.72710i | 0.849352 | − | 0.214868i | ||||
\(485\) | 7.14045 | + | 24.3181i | 0.324231 | + | 1.10423i | ||||
\(486\) | 1.05109 | + | 0.946157i | 0.0476784 | + | 0.0429185i | ||||
\(487\) | 13.7834 | + | 21.4474i | 0.624586 | + | 0.971874i | 0.999004 | + | 0.0446144i | \(0.0142059\pi\) |
−0.374419 | + | 0.927260i | \(0.622158\pi\) | |||||||
\(488\) | −13.1236 | − | 23.2176i | −0.594076 | − | 1.05101i | ||||
\(489\) | −10.9081 | − | 7.01024i | −0.493283 | − | 0.317014i | ||||
\(490\) | 4.72048 | − | 15.0198i | 0.213249 | − | 0.678526i | ||||
\(491\) | −25.9708 | + | 29.9719i | −1.17204 | + | 1.35261i | −0.248727 | + | 0.968574i | \(0.580012\pi\) |
−0.923318 | + | 0.384037i | \(0.874533\pi\) | |||||||
\(492\) | −1.08684 | − | 10.3147i | −0.0489986 | − | 0.465024i | ||||
\(493\) | −1.20518 | − | 2.63898i | −0.0542786 | − | 0.118854i | ||||
\(494\) | −29.9739 | − | 4.88975i | −1.34859 | − | 0.220000i | ||||
\(495\) | 0.820536 | − | 2.79449i | 0.0368804 | − | 0.125603i | ||||
\(496\) | −1.43416 | + | 1.89898i | −0.0643955 | + | 0.0852666i | ||||
\(497\) | 2.36393 | + | 0.339882i | 0.106037 | + | 0.0152458i | ||||
\(498\) | −5.19155 | − | 3.47685i | −0.232639 | − | 0.155801i | ||||
\(499\) | −11.6268 | + | 25.4590i | −0.520485 | + | 1.13970i | 0.448771 | + | 0.893647i | \(0.351862\pi\) |
−0.969256 | + | 0.246056i | \(0.920865\pi\) | |||||||
\(500\) | 17.8629 | + | 5.98742i | 0.798853 | + | 0.267766i | ||||
\(501\) | 24.9856 | − | 3.59239i | 1.11628 | − | 0.160496i | ||||
\(502\) | 16.0739 | + | 19.2749i | 0.717411 | + | 0.860280i | ||||
\(503\) | 8.02013 | + | 9.25572i | 0.357600 | + | 0.412692i | 0.905834 | − | 0.423633i | \(-0.139245\pi\) |
−0.548234 | + | 0.836325i | \(0.684700\pi\) | |||||||
\(504\) | 3.56703 | − | 2.75281i | 0.158888 | − | 0.122620i | ||||
\(505\) | − | 24.2737i | − | 1.08016i | ||||||
\(506\) | 3.05411 | − | 7.30486i | 0.135772 | − | 0.324741i | ||||
\(507\) | −0.478062 | −0.0212315 | ||||||||
\(508\) | −17.5906 | − | 29.7910i | −0.780455 | − | 1.32176i | ||||
\(509\) | −3.99714 | + | 3.46354i | −0.177170 | + | 0.153519i | −0.738932 | − | 0.673780i | \(-0.764669\pi\) |
0.561761 | + | 0.827299i | \(0.310124\pi\) | |||||||
\(510\) | 1.04035 | + | 1.24753i | 0.0460674 | + | 0.0552415i | ||||
\(511\) | −2.44610 | − | 17.0130i | −0.108209 | − | 0.752611i | ||||
\(512\) | 19.3632 | − | 11.7075i | 0.855743 | − | 0.517402i | ||||
\(513\) | 5.52028 | + | 2.52103i | 0.243726 | + | 0.111306i | ||||
\(514\) | −6.44039 | + | 9.61665i | −0.284073 | + | 0.424172i | ||||
\(515\) | −5.00534 | + | 34.8129i | −0.220562 | + | 1.53404i | ||||
\(516\) | 4.47042 | − | 3.58689i | 0.196799 | − | 0.157904i | ||||
\(517\) | −0.170695 | − | 0.0501205i | −0.00750715 | − | 0.00220430i | ||||
\(518\) | −0.857069 | − | 0.139817i | −0.0376575 | − | 0.00614320i | ||||
\(519\) | −8.15026 | + | 3.72210i | −0.357757 | + | 0.163382i | ||||
\(520\) | 24.3193 | − | 5.66523i | 1.06647 | − | 0.248437i | ||||
\(521\) | 4.39269 | + | 3.80629i | 0.192447 | + | 0.166756i | 0.745755 | − | 0.666221i | \(-0.232089\pi\) |
−0.553308 | + | 0.832977i | \(0.686635\pi\) | |||||||
\(522\) | 8.50159 | + | 2.67191i | 0.372105 | + | 0.116946i | ||||
\(523\) | 9.34854 | − | 14.5466i | 0.408783 | − | 0.636079i | −0.574427 | − | 0.818556i | \(-0.694775\pi\) |
0.983210 | + | 0.182477i | \(0.0584115\pi\) | |||||||
\(524\) | 3.03041 | + | 7.36013i | 0.132384 | + | 0.321529i | ||||
\(525\) | 1.64073 | − | 1.05443i | 0.0716072 | − | 0.0460191i | ||||
\(526\) | −19.7722 | − | 17.7983i | −0.862109 | − | 0.776043i | ||||
\(527\) | 0.262804 | − | 0.0771663i | 0.0114479 | − | 0.00336142i | ||||
\(528\) | 2.22049 | + | 4.10782i | 0.0966343 | + | 0.178770i | ||||
\(529\) | 11.6472 | + | 19.8329i | 0.506400 | + | 0.862299i | ||||
\(530\) | 25.3662 | − | 3.15880i | 1.10184 | − | 0.137210i | ||||
\(531\) | −1.95163 | + | 0.573052i | −0.0846937 | + | 0.0248683i | ||||
\(532\) | 11.0609 | − | 15.8588i | 0.479550 | − | 0.687568i | ||||
\(533\) | 9.92134 | + | 15.4379i | 0.429741 | + | 0.668690i | ||||
\(534\) | 3.68343 | − | 1.00630i | 0.159398 | − | 0.0435470i | ||||
\(535\) | −24.0813 | + | 37.4712i | −1.04112 | + | 1.62002i | ||||
\(536\) | −4.31258 | − | 0.244910i | −0.186275 | − | 0.0105785i | ||||
\(537\) | 6.64370 | − | 7.66724i | 0.286697 | − | 0.330866i | ||||
\(538\) | 37.4935 | + | 0.709071i | 1.61646 | + | 0.0305702i | ||||
\(539\) | −4.73848 | + | 2.16399i | −0.204101 | + | 0.0932097i | ||||
\(540\) | −4.98614 | − | 0.188662i | −0.214569 | − | 0.00811871i | ||||
\(541\) | −7.73400 | + | 26.3396i | −0.332511 | + | 1.13243i | 0.608360 | + | 0.793661i | \(0.291828\pi\) |
−0.940871 | + | 0.338766i | \(0.889990\pi\) | |||||||
\(542\) | 11.7742 | − | 7.25598i | 0.505747 | − | 0.311671i | ||||
\(543\) | −1.93476 | + | 13.4566i | −0.0830285 | + | 0.577476i | ||||
\(544\) | −2.59275 | − | 0.245873i | −0.111163 | − | 0.0105417i | ||||
\(545\) | −18.1153 | + | 39.6670i | −0.775975 | + | 1.69915i | ||||
\(546\) | −3.44825 | + | 7.18774i | −0.147571 | + | 0.307607i | ||||
\(547\) | −6.03953 | − | 42.0059i | −0.258232 | − | 1.79604i | −0.545416 | − | 0.838165i | \(-0.683628\pi\) |
0.287185 | − | 0.957875i | \(-0.407281\pi\) | |||||||
\(548\) | 16.3098 | + | 15.2496i | 0.696718 | + | 0.651430i | ||||
\(549\) | −6.17484 | − | 7.12615i | −0.263536 | − | 0.304137i | ||||
\(550\) | 0.804740 | + | 1.85414i | 0.0343142 | + | 0.0790606i | ||||
\(551\) | 38.2415 | 1.62914 | ||||||||
\(552\) | −13.4159 | − | 2.00327i | −0.571019 | − | 0.0852650i | ||||
\(553\) | 13.0654 | 0.555596 | ||||||||
\(554\) | 15.2620 | + | 35.1640i | 0.648422 | + | 1.49398i | ||||
\(555\) | 0.629764 | + | 0.726786i | 0.0267320 | + | 0.0308504i | ||||
\(556\) | 23.4142 | − | 25.0421i | 0.992985 | − | 1.06202i | ||||
\(557\) | −1.84560 | − | 12.8364i | −0.0782006 | − | 0.543897i | −0.990831 | − | 0.135110i | \(-0.956861\pi\) |
0.912630 | − | 0.408787i | \(-0.134048\pi\) | |||||||
\(558\) | −0.363917 | + | 0.758571i | −0.0154058 | + | 0.0321129i | ||||
\(559\) | −4.21268 | + | 9.22448i | −0.178177 | + | 0.390154i | ||||
\(560\) | −3.44505 | + | 15.5196i | −0.145580 | + | 0.655824i | ||||
\(561\) | 0.0764885 | − | 0.531989i | 0.00322935 | − | 0.0224606i | ||||
\(562\) | −33.6407 | + | 20.7314i | −1.41905 | + | 0.874501i | ||||
\(563\) | −0.615411 | + | 2.09590i | −0.0259365 | + | 0.0883316i | −0.971444 | − | 0.237268i | \(-0.923748\pi\) |
0.945508 | + | 0.325600i | \(0.105566\pi\) | |||||||
\(564\) | −0.0115240 | + | 0.304567i | −0.000485246 | + | 0.0128246i | ||||
\(565\) | −1.80373 | + | 0.823736i | −0.0758835 | + | 0.0346549i | ||||
\(566\) | −13.3387 | − | 0.252259i | −0.560667 | − | 0.0106032i | ||||
\(567\) | 1.04320 | − | 1.20392i | 0.0438105 | − | 0.0505600i | ||||
\(568\) | 4.23353 | + | 0.240421i | 0.177635 | + | 0.0100878i | ||||
\(569\) | 7.37674 | − | 11.4784i | 0.309249 | − | 0.481201i | −0.651489 | − | 0.758658i | \(-0.725855\pi\) |
0.960738 | + | 0.277457i | \(0.0894917\pi\) | |||||||
\(570\) | −20.6550 | + | 5.64289i | −0.865142 | + | 0.236355i | ||||
\(571\) | −8.79013 | − | 13.6777i | −0.367856 | − | 0.572395i | 0.607146 | − | 0.794590i | \(-0.292314\pi\) |
−0.975002 | + | 0.222195i | \(0.928678\pi\) | |||||||
\(572\) | −6.77651 | − | 4.72633i | −0.283340 | − | 0.197618i | ||||
\(573\) | 13.8117 | − | 4.05549i | 0.576994 | − | 0.169421i | ||||
\(574\) | −11.5936 | + | 1.44373i | −0.483909 | + | 0.0602602i | ||||
\(575\) | −5.71112 | − | 1.36313i | −0.238170 | − | 0.0568464i | ||||
\(576\) | 5.88970 | − | 5.41401i | 0.245404 | − | 0.225584i | ||||
\(577\) | 16.9510 | − | 4.97727i | 0.705680 | − | 0.207206i | 0.0908485 | − | 0.995865i | \(-0.471042\pi\) |
0.614832 | + | 0.788658i | \(0.289224\pi\) | |||||||
\(578\) | −17.6457 | − | 15.8841i | −0.733965 | − | 0.660692i | ||||
\(579\) | −6.14535 | + | 3.94938i | −0.255392 | + | 0.164130i | ||||
\(580\) | −29.0744 | + | 11.9709i | −1.20725 | + | 0.497064i | ||||
\(581\) | −3.80516 | + | 5.92095i | −0.157865 | + | 0.245642i | ||||
\(582\) | −13.7058 | − | 4.30750i | −0.568123 | − | 0.178552i | ||||
\(583\) | −6.39191 | − | 5.53862i | −0.264726 | − | 0.229386i | ||||
\(584\) | −6.92374 | − | 29.7217i | −0.286506 | − | 1.22989i | ||||
\(585\) | 8.03058 | − | 3.66744i | 0.332024 | − | 0.151630i | ||||
\(586\) | 22.0567 | + | 3.59819i | 0.911154 | + | 0.148640i | ||||
\(587\) | −33.9337 | − | 9.96384i | −1.40060 | − | 0.411252i | −0.507707 | − | 0.861530i | \(-0.669507\pi\) |
−0.892888 | + | 0.450278i | \(0.851325\pi\) | |||||||
\(588\) | 5.58516 | + | 6.96091i | 0.230328 | + | 0.287063i | ||||
\(589\) | −0.513814 | + | 3.57366i | −0.0211713 | + | 0.147250i | ||||
\(590\) | 3.99341 | − | 5.96287i | 0.164406 | − | 0.245488i | ||||
\(591\) | −19.0765 | − | 8.71195i | −0.784702 | − | 0.358362i | ||||
\(592\) | −1.53745 | − | 0.116512i | −0.0631886 | − | 0.00478862i | ||||
\(593\) | −3.63057 | − | 25.2512i | −0.149090 | − | 1.03694i | −0.917714 | − | 0.397241i | \(-0.869968\pi\) |
0.768624 | − | 0.639700i | \(-0.220942\pi\) | |||||||
\(594\) | 1.05735 | + | 1.26791i | 0.0433835 | + | 0.0520231i | ||||
\(595\) | 1.38285 | − | 1.19824i | 0.0566912 | − | 0.0491232i | ||||
\(596\) | −5.67436 | + | 3.35052i | −0.232431 | + | 0.137242i | ||||
\(597\) | −8.38275 | −0.343083 | ||||||||
\(598\) | 22.7969 | − | 7.50391i | 0.932236 | − | 0.306858i | ||||
\(599\) | 23.7787i | 0.971571i | 0.874078 | + | 0.485786i | \(0.161466\pi\) | ||||
−0.874078 | + | 0.485786i | \(0.838534\pi\) | |||||||
\(600\) | 2.74141 | − | 2.11565i | 0.111918 | − | 0.0863712i | ||||
\(601\) | 14.8985 | + | 17.1938i | 0.607722 | + | 0.701348i | 0.973327 | − | 0.229422i | \(-0.0736835\pi\) |
−0.365605 | + | 0.930770i | \(0.619138\pi\) | |||||||
\(602\) | −4.13489 | − | 4.95833i | −0.168525 | − | 0.202086i | ||||
\(603\) | −1.51164 | + | 0.217341i | −0.0615587 | + | 0.00885081i | ||||
\(604\) | 5.68156 | − | 16.9504i | 0.231179 | − | 0.689702i | ||||
\(605\) | −9.98800 | + | 21.8707i | −0.406070 | + | 0.889169i | ||||
\(606\) | 11.4326 | + | 7.65653i | 0.464416 | + | 0.311025i | ||||
\(607\) | −24.1431 | − | 3.47125i | −0.979938 | − | 0.140894i | −0.366313 | − | 0.930492i | \(-0.619380\pi\) |
−0.613625 | + | 0.789598i | \(0.710289\pi\) | |||||||
\(608\) | 17.1455 | − | 29.7416i | 0.695341 | − | 1.20618i | ||||
\(609\) | 2.82812 | − | 9.63168i | 0.114601 | − | 0.390295i | ||||
\(610\) | 32.8348 | + | 5.35646i | 1.32944 | + | 0.216877i | ||||
\(611\) | −0.224017 | − | 0.490529i | −0.00906277 | − | 0.0198447i | ||||
\(612\) | −0.915720 | + | 0.0964875i | −0.0370158 | + | 0.00390028i | ||||
\(613\) | −18.9974 | + | 21.9241i | −0.767297 | + | 0.885508i | −0.996124 | − | 0.0879594i | \(-0.971965\pi\) |
0.228827 | + | 0.973467i | \(0.426511\pi\) | |||||||
\(614\) | 6.59522 | − | 20.9849i | 0.266161 | − | 0.846883i | ||||
\(615\) | 10.8842 | + | 6.99487i | 0.438895 | + | 0.282061i | ||||
\(616\) | 4.57906 | − | 2.58828i | 0.184496 | − | 0.104285i | ||||
\(617\) | 10.5219 | + | 16.3723i | 0.423594 | + | 0.659126i | 0.985810 | − | 0.167865i | \(-0.0536873\pi\) |
−0.562216 | + | 0.826991i | \(0.690051\pi\) | |||||||
\(618\) | −14.8176 | − | 13.3383i | −0.596051 | − | 0.536546i | ||||
\(619\) | −4.09735 | − | 13.9543i | −0.164686 | − | 0.560870i | −0.999939 | − | 0.0110043i | \(-0.996497\pi\) |
0.835253 | − | 0.549866i | \(-0.185321\pi\) | |||||||
\(620\) | −0.728030 | − | 2.87783i | −0.0292384 | − | 0.115576i | ||||
\(621\) | −4.78952 | + | 0.245933i | −0.192197 | + | 0.00986894i | ||||
\(622\) | 2.61728 | + | 21.0177i | 0.104944 | + | 0.842732i | ||||
\(623\) | −1.21179 | − | 4.12696i | −0.0485492 | − | 0.165343i | ||||
\(624\) | −5.00267 | + | 13.2410i | −0.200267 | + | 0.530065i | ||||
\(625\) | −24.9201 | + | 16.0152i | −0.996804 | + | 0.640607i | ||||
\(626\) | 6.75873 | − | 1.84647i | 0.270133 | − | 0.0737998i | ||||
\(627\) | 5.95988 | + | 3.83018i | 0.238015 | + | 0.152963i | ||||
\(628\) | 8.62691 | − | 47.2425i | 0.344251 | − | 1.88518i | ||||
\(629\) | 0.134119 | + | 0.116215i | 0.00534769 | + | 0.00463380i | ||||
\(630\) | −0.106276 | + | 5.61957i | −0.00423416 | + | 0.223889i | ||||
\(631\) | −14.7655 | − | 32.3319i | −0.587805 | − | 1.28711i | −0.936759 | − | 0.349974i | \(-0.886190\pi\) |
0.348954 | − | 0.937140i | \(-0.386537\pi\) | |||||||
\(632\) | 23.1119 | − | 1.99419i | 0.919341 | − | 0.0793245i | ||||
\(633\) | 4.75341 | + | 1.39573i | 0.188931 | + | 0.0554751i | ||||
\(634\) | −24.9280 | + | 15.3621i | −0.990017 | + | 0.610107i | ||||
\(635\) | 42.7176 | + | 6.14186i | 1.69520 | + | 0.243732i | ||||
\(636\) | −6.51340 | + | 12.9435i | −0.258273 | + | 0.513244i | ||||
\(637\) | −14.3635 | − | 6.55958i | −0.569102 | − | 0.259900i | ||||
\(638\) | 9.37974 | + | 4.49984i | 0.371347 | + | 0.178150i | ||||
\(639\) | 1.48393 | − | 0.213357i | 0.0587035 | − | 0.00844028i | ||||
\(640\) | −3.72530 | + | 27.9791i | −0.147255 | + | 1.10597i | ||||
\(641\) | −0.308165 | + | 0.267026i | −0.0121718 | + | 0.0105469i | −0.660925 | − | 0.750452i | \(-0.729836\pi\) |
0.648754 | + | 0.760999i | \(0.275291\pi\) | |||||||
\(642\) | −10.0526 | − | 23.1613i | −0.396743 | − | 0.914104i | ||||
\(643\) | − | 33.5810i | − | 1.32431i | −0.749369 | − | 0.662153i | \(-0.769643\pi\) | ||
0.749369 | − | 0.662153i | \(-0.230357\pi\) | |||||||
\(644\) | −1.97040 | + | 15.1521i | −0.0776448 | + | 0.597077i | ||||
\(645\) | 7.14966i | 0.281518i | ||||||||
\(646\) | −3.62463 | + | 1.57318i | −0.142609 | + | 0.0618958i | ||||
\(647\) | −21.9978 | + | 19.0612i | −0.864821 | + | 0.749372i | −0.969489 | − | 0.245136i | \(-0.921167\pi\) |
0.104668 | + | 0.994507i | \(0.466622\pi\) | |||||||
\(648\) | 1.66161 | − | 2.28890i | 0.0652743 | − | 0.0899163i | ||||
\(649\) | −2.35033 | + | 0.337926i | −0.0922585 | + | 0.0132648i | ||||
\(650\) | −2.65012 | + | 5.52408i | −0.103946 | + | 0.216672i | ||||
\(651\) | 0.862078 | + | 0.393698i | 0.0337875 | + | 0.0154302i | ||||
\(652\) | −11.6572 | + | 23.1654i | −0.456532 | + | 0.907226i | ||||
\(653\) | 32.1023 | + | 4.61561i | 1.25626 | + | 0.180623i | 0.738118 | − | 0.674672i | \(-0.235715\pi\) |
0.518142 | + | 0.855295i | \(0.326624\pi\) | |||||||
\(654\) | −12.9686 | − | 21.0440i | −0.507112 | − | 0.822887i | ||||
\(655\) | −9.52681 | − | 2.79732i | −0.372243 | − | 0.109300i | ||||
\(656\) | −20.2881 | + | 4.32343i | −0.792118 | + | 0.168802i | ||||
\(657\) | −4.48215 | − | 9.81453i | −0.174865 | − | 0.382901i | ||||
\(658\) | 0.343259 | + | 0.00649165i | 0.0133816 | + | 0.000253071i | ||||
\(659\) | −23.7816 | − | 20.6068i | −0.926398 | − | 0.802729i | 0.0542457 | − | 0.998528i | \(-0.482725\pi\) |
−0.980644 | + | 0.195799i | \(0.937270\pi\) | |||||||
\(660\) | −5.73017 | − | 1.04638i | −0.223047 | − | 0.0407303i | ||||
\(661\) | −8.43733 | − | 5.42234i | −0.328174 | − | 0.210905i | 0.366170 | − | 0.930548i | \(-0.380669\pi\) |
−0.694344 | + | 0.719643i | \(0.744305\pi\) | |||||||
\(662\) | −10.8518 | − | 39.7214i | −0.421767 | − | 1.54382i | ||||
\(663\) | 1.37054 | − | 0.880795i | 0.0532275 | − | 0.0342073i | ||||
\(664\) | −5.82739 | + | 11.0546i | −0.226147 | + | 0.429002i | ||||
\(665\) | 6.79514 | + | 23.1421i | 0.263504 | + | 0.897413i | ||||
\(666\) | −0.540950 | + | 0.0673633i | −0.0209614 | + | 0.00261028i | ||||
\(667\) | −26.8097 | + | 13.9473i | −1.03808 | + | 0.540040i | ||||
\(668\) | −12.3816 | − | 48.9433i | −0.479059 | − | 1.89367i | ||||
\(669\) | 0.286088 | + | 0.974326i | 0.0110608 | + | 0.0376696i | ||||
\(670\) | 3.60495 | − | 4.00476i | 0.139272 | − | 0.154717i | ||||
\(671\) | −5.95115 | − | 9.26017i | −0.229742 | − | 0.357485i | ||||
\(672\) | −6.22288 | − | 6.51785i | −0.240053 | − | 0.251432i | ||||
\(673\) | 18.9734 | + | 12.1935i | 0.731371 | + | 0.470023i | 0.852575 | − | 0.522604i | \(-0.175039\pi\) |
−0.121205 | + | 0.992628i | \(0.538676\pi\) | |||||||
\(674\) | −35.2720 | − | 11.0854i | −1.35863 | − | 0.426994i | ||||
\(675\) | 0.801747 | − | 0.925266i | 0.0308593 | − | 0.0356135i | ||||
\(676\) | 0.100190 | + | 0.950861i | 0.00385347 | + | 0.0365716i | ||||
\(677\) | −3.46712 | − | 7.59194i | −0.133252 | − | 0.291782i | 0.831230 | − | 0.555928i | \(-0.187637\pi\) |
−0.964483 | + | 0.264146i | \(0.914910\pi\) | |||||||
\(678\) | 0.180974 | − | 1.10936i | 0.00695027 | − | 0.0426047i | ||||
\(679\) | −4.55933 | + | 15.5277i | −0.174971 | + | 0.595897i | ||||
\(680\) | 2.26329 | − | 2.33069i | 0.0867931 | − | 0.0893779i | ||||
\(681\) | −19.5985 | − | 2.81783i | −0.751015 | − | 0.107980i | ||||
\(682\) | −0.546534 | + | 0.816073i | −0.0209279 | + | 0.0312491i | ||||
\(683\) | −14.1890 | + | 31.0696i | −0.542927 | + | 1.18884i | 0.417080 | + | 0.908870i | \(0.363053\pi\) |
−0.960007 | + | 0.279975i | \(0.909674\pi\) | |||||||
\(684\) | 3.85738 | − | 11.5081i | 0.147491 | − | 0.440024i | ||||
\(685\) | −27.5696 | + | 3.96391i | −1.05338 | + | 0.151453i | ||||
\(686\) | 19.8320 | − | 16.5385i | 0.757190 | − | 0.631441i | ||||
\(687\) | −2.00137 | − | 2.30970i | −0.0763569 | − | 0.0881205i | ||||
\(688\) | −8.07117 | − | 8.13988i | −0.307711 | − | 0.310330i | ||||
\(689\) | − | 25.6373i | − | 0.976705i | ||||||
\(690\) | 12.4224 | − | 11.4892i | 0.472912 | − | 0.437387i | ||||
\(691\) | 14.1716 | 0.539112 | 0.269556 | − | 0.962985i | \(-0.413123\pi\) | ||||
0.269556 | + | 0.962985i | \(0.413123\pi\) | |||||||
\(692\) | 9.11131 | + | 15.4307i | 0.346360 | + | 0.586588i | ||||
\(693\) | 1.40545 | − | 1.21783i | 0.0533885 | − | 0.0462614i | ||||
\(694\) | −20.6472 | + | 17.2183i | −0.783759 | + | 0.653598i | ||||
\(695\) | 6.08619 | + | 42.3304i | 0.230862 | + | 1.60568i | ||||
\(696\) | 3.53268 | − | 17.4695i | 0.133906 | − | 0.662181i | ||||
\(697\) | 2.17181 | + | 0.991832i | 0.0822632 | + | 0.0375683i | ||||
\(698\) | −2.97519 | − | 1.99252i | −0.112613 | − | 0.0754181i | ||||
\(699\) | −1.80643 | + | 12.5640i | −0.0683255 | + | 0.475214i | ||||
\(700\) | −2.44111 | − | 3.04240i | −0.0922652 | − | 0.114992i | ||||
\(701\) | 24.4946 | + | 7.19226i | 0.925148 | + | 0.271648i | 0.709404 | − | 0.704802i | \(-0.248964\pi\) |
0.215744 | + | 0.976450i | \(0.430782\pi\) | |||||||
\(702\) | −0.805733 | + | 4.93910i | −0.0304104 | + | 0.186414i | ||||
\(703\) | −2.12787 | + | 0.971765i | −0.0802541 | + | 0.0366508i | ||||
\(704\) | 7.70504 | − | 5.27742i | 0.290395 | − | 0.198900i | ||||
\(705\) | −0.287334 | − | 0.248976i | −0.0108216 | − | 0.00937698i | ||||
\(706\) | 2.30002 | − | 7.31829i | 0.0865624 | − | 0.275428i | ||||
\(707\) | 8.37953 | − | 13.0388i | 0.315145 | − | 0.490374i | ||||
\(708\) | 1.54881 | + | 3.76168i | 0.0582078 | + | 0.141373i | ||||
\(709\) | 25.1352 | − | 16.1534i | 0.943974 | − | 0.606655i | 0.0244548 | − | 0.999701i | \(-0.492215\pi\) |
0.919519 | + | 0.393046i | \(0.128579\pi\) | |||||||
\(710\) | −3.53888 | + | 3.93135i | −0.132812 | + | 0.147541i | ||||
\(711\) | 7.86941 | − | 2.31067i | 0.295126 | − | 0.0866568i | ||||
\(712\) | −2.77348 | − | 7.11540i | −0.103941 | − | 0.266661i | ||||
\(713\) | −0.943151 | − | 2.69275i | −0.0353213 | − | 0.100844i | ||||
\(714\) | 0.128171 | + | 1.02926i | 0.00479669 | + | 0.0385190i | ||||
\(715\) | 9.88868 | − | 2.90358i | 0.369816 | − | 0.108588i | ||||
\(716\) | −16.6424 | − | 11.6074i | −0.621956 | − | 0.433788i | ||||
\(717\) | −12.1370 | − | 18.8855i | −0.453264 | − | 0.705293i | ||||
\(718\) | −12.6278 | − | 46.2223i | −0.471266 | − | 1.72500i | ||||
\(719\) | 15.7938 | − | 24.5757i | 0.589011 | − | 0.916519i | −0.410977 | − | 0.911646i | \(-0.634812\pi\) |
0.999988 | − | 0.00487329i | \(-0.00155122\pi\) | |||||||
\(720\) | 0.669727 | + | 9.95692i | 0.0249593 | + | 0.371073i | ||||
\(721\) | −14.7064 | + | 16.9721i | −0.547697 | + | 0.632076i | ||||
\(722\) | 0.476760 | − | 25.2096i | 0.0177432 | − | 0.938205i | ||||
\(723\) | 27.3351 | − | 12.4835i | 1.01660 | − | 0.464267i | ||||
\(724\) | 27.1704 | + | 1.02805i | 1.00978 | + | 0.0382073i | ||||
\(725\) | 2.17353 | − | 7.40235i | 0.0807228 | − | 0.274917i | ||||
\(726\) | −7.15032 | − | 11.6028i | −0.265373 | − | 0.430619i | ||||
\(727\) | 1.10257 | − | 7.66855i | 0.0408921 | − | 0.284411i | −0.959107 | − | 0.283044i | \(-0.908656\pi\) |
0.999999 | − | 0.00136696i | \(-0.000435117\pi\) | |||||||
\(728\) | 15.0190 | + | 5.35215i | 0.556641 | + | 0.198364i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | 34.3230 | + | 16.4661i | 1.27035 | + | 0.609438i | ||||
\(731\) | 0.187768 | + | 1.30595i | 0.00694484 | + | 0.0483024i | ||||
\(732\) | −12.8797 | + | 13.7752i | −0.476049 | + | 0.509145i | ||||
\(733\) | 0.886967 | + | 1.02361i | 0.0327609 | + | 0.0378081i | 0.771894 | − | 0.635752i | \(-0.219310\pi\) |
−0.739133 | + | 0.673560i | \(0.764764\pi\) | |||||||
\(734\) | 0.192902 | − | 0.0837242i | 0.00712015 | − | 0.00309032i | ||||
\(735\) | −11.1328 | −0.410639 | ||||||||
\(736\) | −1.17284 | + | 27.1040i | −0.0432314 | + | 0.999065i | ||||
\(737\) | −1.78282 | −0.0656709 | ||||||||
\(738\) | −6.72765 | + | 2.91996i | −0.247648 | + | 0.107485i | ||||
\(739\) | −32.3937 | − | 37.3843i | −1.19162 | − | 1.37520i | −0.909436 | − | 0.415843i | \(-0.863486\pi\) |
−0.282184 | − | 0.959360i | \(-0.591059\pi\) | |||||||
\(740\) | 1.31359 | − | 1.40491i | 0.0482884 | − | 0.0516455i | ||||
\(741\) | 3.05620 | + | 21.2563i | 0.112272 | + | 0.780870i | ||||
\(742\) | 14.7161 | + | 7.05992i | 0.540246 | + | 0.259178i | ||||
\(743\) | 1.62522 | − | 3.55874i | 0.0596236 | − | 0.130557i | −0.877475 | − | 0.479623i | \(-0.840774\pi\) |
0.937098 | + | 0.349065i | \(0.113501\pi\) | |||||||
\(744\) | 1.58506 | + | 0.564849i | 0.0581110 | + | 0.0207084i | ||||
\(745\) | 1.16986 | − | 8.13652i | 0.0428602 | − | 0.298099i | ||||
\(746\) | 10.9635 | + | 17.7905i | 0.401404 | + | 0.651355i | ||||
\(747\) | −1.24475 | + | 4.23922i | −0.0455429 | + | 0.155105i | ||||
\(748\) | −1.07415 | − | 0.0406429i | −0.0392748 | − | 0.00148605i | ||||
\(749\) | −25.8709 | + | 11.8148i | −0.945302 | + | 0.431705i | ||||
\(750\) | 0.251892 | − | 13.3193i | 0.00919778 | − | 0.486350i | ||||
\(751\) | 5.40945 | − | 6.24284i | 0.197394 | − | 0.227804i | −0.648420 | − | 0.761283i | \(-0.724570\pi\) |
0.845814 | + | 0.533478i | \(0.179115\pi\) | |||||||
\(752\) | 0.608195 | − | 0.0409087i | 0.0221786 | − | 0.00149179i | ||||
\(753\) | 9.59459 | − | 14.9295i | 0.349646 | − | 0.544060i | ||||
\(754\) | 8.31068 | + | 30.4200i | 0.302657 | + | 1.10783i | ||||
\(755\) | 12.0566 | + | 18.7604i | 0.438784 | + | 0.682762i | ||||
\(756\) | −2.61322 | − | 1.82261i | −0.0950419 | − | 0.0662877i | ||||
\(757\) | −14.4573 | + | 4.24506i | −0.525461 | + | 0.154289i | −0.533695 | − | 0.845677i | \(-0.679197\pi\) |
0.00823426 | + | 0.999966i | \(0.497379\pi\) | |||||||
\(758\) | 2.05018 | + | 16.4636i | 0.0744657 | + | 0.597984i | ||||
\(759\) | −5.57518 | − | 0.511539i | −0.202366 | − | 0.0185677i | ||||
\(760\) | 15.5524 | + | 39.8999i | 0.564146 | + | 1.44732i | ||||
\(761\) | 44.8587 | − | 13.1717i | 1.62613 | − | 0.477474i | 0.663470 | − | 0.748203i | \(-0.269083\pi\) |
0.962656 | + | 0.270729i | \(0.0872647\pi\) | |||||||
\(762\) | −16.3669 | + | 18.1821i | −0.592912 | + | 0.658668i | ||||
\(763\) | −23.4243 | + | 15.0539i | −0.848016 | + | 0.544986i | ||||
\(764\) | −10.9609 | − | 26.6215i | −0.396553 | − | 0.963131i | ||||
\(765\) | 0.620990 | − | 0.966279i | 0.0224519 | − | 0.0349359i | ||||
\(766\) | −6.37432 | + | 20.2821i | −0.230314 | + | 0.732821i | ||||
\(767\) | −5.43964 | − | 4.71348i | −0.196414 | − | 0.170194i | ||||
\(768\) | −12.0027 | − | 10.5799i | −0.433112 | − | 0.381769i | ||||
\(769\) | −21.0832 | + | 9.62838i | −0.760280 | + | 0.347208i | −0.757541 | − | 0.652788i | \(-0.773599\pi\) |
−0.00273933 | + | 0.999996i | \(0.500872\pi\) | |||||||
\(770\) | −1.05642 | + | 6.47579i | −0.0380707 | + | 0.233371i | ||||
\(771\) | 7.85258 | + | 2.30572i | 0.282804 | + | 0.0830386i | ||||
\(772\) | 9.14318 | + | 11.3953i | 0.329070 | + | 0.410127i | ||||
\(773\) | 0.00105957 | − | 0.00736947i | 3.81101e−5 | − | 0.000265061i | −0.989802 | − | 0.142447i | \(-0.954503\pi\) |
0.989840 | + | 0.142182i | \(0.0454119\pi\) | |||||||
\(774\) | −3.36739 | − | 2.25519i | −0.121038 | − | 0.0810610i | ||||
\(775\) | 0.662544 | + | 0.302574i | 0.0237993 | + | 0.0108688i | ||||
\(776\) | −5.69518 | + | 28.1634i | −0.204445 | + | 1.01101i | ||||
\(777\) | 0.0873885 | + | 0.607800i | 0.00313505 | + | 0.0218047i | ||||
\(778\) | 5.29935 | − | 4.41928i | 0.189991 | − | 0.158439i | ||||
\(779\) | −23.7848 | + | 20.6096i | −0.852178 | + | 0.738417i | ||||
\(780\) | −8.97752 | − | 15.2041i | −0.321447 | − | 0.544395i | ||||
\(781\) | 1.75014 | 0.0626249 | ||||||||
\(782\) | 1.96733 | − | 2.42486i | 0.0703516 | − | 0.0867126i | ||||
\(783\) | − | 6.30144i | − | 0.225195i | ||||||
\(784\) | 12.6747 | − | 12.5677i | 0.452666 | − | 0.448845i | ||||
\(785\) | 39.2302 | + | 45.2741i | 1.40019 | + | 1.61590i | ||||
\(786\) | 4.32250 | − | 3.60465i | 0.154178 | − | 0.128574i | ||||
\(787\) | 4.45315 | − | 0.640267i | 0.158738 | − | 0.0228230i | −0.0624877 | − | 0.998046i | \(-0.519903\pi\) |
0.221225 | + | 0.975223i | \(0.428994\pi\) | |||||||
\(788\) | −13.3300 | + | 39.7688i | −0.474862 | + | 1.41670i | ||||
\(789\) | −7.81443 | + | 17.1112i | −0.278201 | + | 0.609176i | ||||
\(790\) | −16.1023 | + | 24.0436i | −0.572894 | + | 0.855433i | ||||
\(791\) | −1.25325 | − | 0.180190i | −0.0445605 | − | 0.00640683i | ||||
\(792\) | 2.30027 | − | 2.36878i | 0.0817366 | − | 0.0841709i | ||||
\(793\) | 9.40047 | − | 32.0151i | 0.333821 | − | 1.13689i | ||||
\(794\) | −2.17064 | + | 13.3059i | −0.0770331 | + | 0.472208i | ||||
\(795\) | −7.50870 | − | 16.4418i | −0.266306 | − | 0.583129i | ||||
\(796\) | 1.75682 | + | 16.6732i | 0.0622688 | + | 0.590966i | ||||
\(797\) | 33.5215 | − | 38.6859i | 1.18739 | − | 1.37032i | 0.274777 | − | 0.961508i | \(-0.411396\pi\) |
0.912616 | − | 0.408817i | \(-0.134059\pi\) | |||||||
\(798\) | −13.0430 | − | 4.09920i | −0.461717 | − | 0.145110i | ||||
\(799\) | −0.0590229 | − | 0.0379317i | −0.00208808 | − | 0.00134193i | ||||
\(800\) | −4.78254 | − | 5.00925i | −0.169088 | − | 0.177104i | ||||
\(801\) | −1.45975 | − | 2.27141i | −0.0515776 | − | 0.0802562i | ||||
\(802\) | 4.12380 | − | 4.58115i | 0.145616 | − | 0.161766i | ||||
\(803\) | −3.54859 | − | 12.0854i | −0.125227 | − | 0.426484i | ||||
\(804\) | 0.749092 | + | 2.96109i | 0.0264184 | + | 0.104429i | ||||
\(805\) | −13.2041 | − | 13.7458i | −0.465384 | − | 0.484476i | ||||
\(806\) | −2.95440 | + | 0.367905i | −0.104064 | + | 0.0129589i | ||||
\(807\) | −7.47060 | − | 25.4425i | −0.262978 | − | 0.895620i | ||||
\(808\) | 12.8328 | − | 24.3439i | 0.451455 | − | 0.856414i | ||||
\(809\) | −7.65544 | + | 4.91985i | −0.269151 | + | 0.172973i | −0.668254 | − | 0.743933i | \(-0.732958\pi\) |
0.399103 | + | 0.916906i | \(0.369322\pi\) | |||||||
\(810\) | 0.929836 | + | 3.40353i | 0.0326711 | + | 0.119588i | ||||
\(811\) | 7.37336 | + | 4.73857i | 0.258914 | + | 0.166394i | 0.663658 | − | 0.748036i | \(-0.269003\pi\) |
−0.404744 | + | 0.914430i | \(0.632639\pi\) | |||||||
\(812\) | −19.7500 | − | 3.60653i | −0.693090 | − | 0.126564i | ||||
\(813\) | −7.39094 | − | 6.40429i | −0.259212 | − | 0.224608i | ||||
\(814\) | −0.636262 | − | 0.0120329i | −0.0223010 | − | 0.000421753i | ||||
\(815\) | −13.4385 | − | 29.4263i | −0.470731 | − | 1.03076i | ||||
\(816\) | 0.383825 | + | 1.80114i | 0.0134366 | + | 0.0630524i | ||||
\(817\) | −16.6870 | − | 4.89974i | −0.583803 | − | 0.171420i | ||||
\(818\) | 17.4441 | + | 28.3064i | 0.609918 | + | 0.989710i | ||||
\(819\) | 5.57973 | + | 0.802244i | 0.194972 | + | 0.0280327i | ||||
\(820\) | 11.6317 | − | 23.1146i | 0.406195 | − | 0.807196i | ||||
\(821\) | 32.9381 | + | 15.0423i | 1.14955 | + | 0.524981i | 0.896750 | − | 0.442537i | \(-0.145922\pi\) |
0.252799 | + | 0.967519i | \(0.418649\pi\) | |||||||
\(822\) | 6.82920 | − | 14.2352i | 0.238196 | − | 0.496510i | ||||
\(823\) | −15.3713 | + | 2.21005i | −0.535809 | + | 0.0770376i | −0.404907 | − | 0.914358i | \(-0.632696\pi\) |
−0.130901 | + | 0.991395i | \(0.541787\pi\) | |||||||
\(824\) | −23.4244 | + | 32.2674i | −0.816026 | + | 1.12409i | ||||
\(825\) | 1.08014 | − | 0.935950i | 0.0376058 | − | 0.0325856i | ||||
\(826\) | 4.20354 | − | 1.82444i | 0.146260 | − | 0.0634803i | ||||
\(827\) | − | 33.0459i | − | 1.14912i | −0.818463 | − | 0.574559i | \(-0.805173\pi\) | ||
0.818463 | − | 0.574559i | \(-0.194827\pi\) | |||||||
\(828\) | 1.49292 | + | 9.47477i | 0.0518827 | + | 0.329271i | ||||
\(829\) | 49.2065i | 1.70901i | 0.519442 | + | 0.854506i | \(0.326140\pi\) | ||||
−0.519442 | + | 0.854506i | \(0.673860\pi\) | |||||||
\(830\) | −6.20642 | − | 14.2997i | −0.215428 | − | 0.496350i | ||||
\(831\) | 20.4851 | − | 17.7505i | 0.710621 | − | 0.615756i | ||||
\(832\) | 27.3847 | + | 7.17527i | 0.949392 | + | 0.248758i | ||||
\(833\) | −2.03351 | + | 0.292374i | −0.0704568 | + | 0.0101302i | ||||
\(834\) | −21.8568 | − | 10.4856i | −0.756838 | − | 0.363086i | ||||
\(835\) | 57.2855 | + | 26.1614i | 1.98245 | + | 0.905353i | ||||
\(836\) | 6.36915 | − | 12.6569i | 0.220282 | − | 0.437746i | ||||
\(837\) | 0.588867 | + | 0.0846663i | 0.0203542 | + | 0.00292649i | ||||
\(838\) | −46.8587 | + | 28.8771i | −1.61871 | + | 0.997544i | ||||
\(839\) | −6.71244 | − | 1.97095i | −0.231739 | − | 0.0680447i | 0.163801 | − | 0.986493i | \(-0.447624\pi\) |
−0.395540 | + | 0.918449i | \(0.629443\pi\) | |||||||
\(840\) | 11.1995 | − | 0.966342i | 0.386421 | − | 0.0333420i | ||||
\(841\) | −4.44831 | − | 9.74044i | −0.153390 | − | 0.335877i | ||||
\(842\) | −0.789782 | + | 41.7612i | −0.0272177 | + | 1.43919i | ||||
\(843\) | 21.1170 | + | 18.2980i | 0.727308 | + | 0.630216i | ||||
\(844\) | 1.77989 | − | 9.74698i | 0.0612662 | − | 0.335505i | ||||
\(845\) | −1.00336 | − | 0.644820i | −0.0345166 | − | 0.0221825i | ||||
\(846\) | 0.207897 | − | 0.0567969i | 0.00714763 | − | 0.00195272i | ||||
\(847\) | −12.9151 | + | 8.30005i | −0.443769 | + | 0.285193i | ||||
\(848\) | 27.1096 | + | 10.2424i | 0.930946 | + | 0.351727i | ||||
\(849\) | 2.65774 | + | 9.05143i | 0.0912134 | + | 0.310644i | ||||
\(850\) | 0.0985051 | + | 0.791029i | 0.00337870 | + | 0.0271321i | ||||
\(851\) | 1.13735 | − | 1.45733i | 0.0389879 | − | 0.0499568i | ||||
\(852\) | −0.735361 | − | 2.90681i | −0.0251931 | − | 0.0995857i | ||||
\(853\) | 4.41104 | + | 15.0226i | 0.151031 | + | 0.514365i | 0.999899 | − | 0.0142407i | \(-0.00453310\pi\) |
−0.848867 | + | 0.528606i | \(0.822715\pi\) | |||||||
\(854\) | 15.7884 | + | 14.2122i | 0.540267 | + | 0.486331i | ||||
\(855\) | 8.18558 | + | 12.7370i | 0.279941 | + | 0.435597i | ||||
\(856\) | −43.9608 | + | 24.8485i | −1.50255 | + | 0.849304i | ||||
\(857\) | −27.5517 | − | 17.7064i | −0.941147 | − | 0.604839i | −0.0224274 | − | 0.999748i | \(-0.507139\pi\) |
−0.918720 | + | 0.394910i | \(0.870776\pi\) | |||||||
\(858\) | −1.75159 | + | 5.57329i | −0.0597984 | + | 0.190269i | ||||
\(859\) | −28.6934 | + | 33.1139i | −0.979005 | + | 1.12983i | 0.0125209 | + | 0.999922i | \(0.496014\pi\) |
−0.991526 | + | 0.129910i | \(0.958531\pi\) | |||||||
\(860\) | 14.2206 | − | 1.49839i | 0.484919 | − | 0.0510948i | ||||
\(861\) | 3.43185 | + | 7.51471i | 0.116957 | + | 0.256101i | ||||
\(862\) | 8.15583 | + | 1.33049i | 0.277789 | + | 0.0453167i | ||||
\(863\) | 0.842832 | − | 2.87042i | 0.0286903 | − | 0.0977103i | −0.943903 | − | 0.330222i | \(-0.892876\pi\) |
0.972594 | + | 0.232512i | \(0.0746945\pi\) | |||||||
\(864\) | −4.90082 | − | 2.82523i | −0.166729 | − | 0.0961164i | ||||
\(865\) | −22.1263 | − | 3.18128i | −0.752316 | − | 0.108167i | ||||
\(866\) | 20.2830 | + | 13.5838i | 0.689245 | + | 0.461596i | ||||
\(867\) | −6.97400 | + | 15.2709i | −0.236850 | + | 0.518628i | ||||
\(868\) | 0.602391 | − | 1.79717i | 0.0204465 | − | 0.0610001i | ||||
\(869\) | 9.47704 | − | 1.36259i | 0.321487 | − | 0.0462228i | ||||
\(870\) | 14.2393 | + | 17.0749i | 0.482756 | + | 0.578895i | ||||
\(871\) | −3.53896 | − | 4.08418i | −0.119913 | − | 0.138387i | ||||
\(872\) | −39.1385 | + | 30.2047i | −1.32540 | + | 1.02286i | ||||
\(873\) | 10.1588i | 0.343824i | ||||||||
\(874\) | 18.3021 | + | 36.8669i | 0.619077 | + | 1.24704i | ||||
\(875\) | −15.0059 | −0.507293 | ||||||||
\(876\) | −18.5816 | + | 10.9718i | −0.627816 | + | 0.370704i | ||||
\(877\) | −27.9210 | + | 24.1937i | −0.942824 | + | 0.816962i | −0.983258 | − | 0.182221i | \(-0.941672\pi\) |
0.0404337 | + | 0.999182i | \(0.487126\pi\) | |||||||
\(878\) | −8.42352 | − | 10.1010i | −0.284280 | − | 0.340893i | ||||
\(879\) | −2.24895 | − | 15.6418i | −0.0758551 | − | 0.527584i | ||||
\(880\) | −0.880336 | + | 11.6165i | −0.0296761 | + | 0.391594i | ||||
\(881\) | −1.43769 | − | 0.656571i | −0.0484370 | − | 0.0221204i | 0.391049 | − | 0.920370i | \(-0.372112\pi\) |
−0.439486 | + | 0.898249i | \(0.644839\pi\) | |||||||
\(882\) | 3.51156 | − | 5.24338i | 0.118240 | − | 0.176554i | ||||
\(883\) | 0.286122 | − | 1.99002i | 0.00962876 | − | 0.0669695i | −0.984441 | − | 0.175718i | \(-0.943775\pi\) |
0.994069 | + | 0.108749i | \(0.0346844\pi\) | |||||||
\(884\) | −2.03912 | − | 2.54140i | −0.0685832 | − | 0.0854767i | ||||
\(885\) | −4.86904 | − | 1.42968i | −0.163671 | − | 0.0480582i | ||||
\(886\) | 6.14584 | + | 1.00259i | 0.206474 | + | 0.0336828i | ||||
\(887\) | 33.2192 | − | 15.1707i | 1.11539 | − | 0.509382i | 0.229516 | − | 0.973305i | \(-0.426286\pi\) |
0.885876 | + | 0.463923i | \(0.153558\pi\) | |||||||
\(888\) | 0.247355 | + | 1.06183i | 0.00830068 | + | 0.0356325i | ||||
\(889\) | 20.8259 | + | 18.0457i | 0.698477 | + | 0.605234i | ||||
\(890\) | 9.08813 | + | 2.85625i | 0.304635 | + | 0.0957417i | ||||
\(891\) | 0.631138 | − | 0.982070i | 0.0211439 | − | 0.0329006i | ||||
\(892\) | 1.87797 | − | 0.773221i | 0.0628790 | − | 0.0258893i | ||||
\(893\) | 0.778011 | − | 0.499997i | 0.0260351 | − | 0.0167318i | ||||
\(894\) | 3.46319 | + | 3.11745i | 0.115826 | + | 0.104263i | ||||
\(895\) | 24.2856 | − | 7.13089i | 0.811777 | − | 0.238359i | ||||
\(896\) | −11.6598 | + | 13.7432i | −0.389526 | + | 0.459129i | ||||
\(897\) | −9.89509 | − | 13.7874i | −0.330388 | − | 0.460347i | ||||
\(898\) | 55.0430 | − | 6.85438i | 1.83681 | − | 0.228734i | ||||
\(899\) | 3.59701 | − | 1.05618i | 0.119967 | − | 0.0352255i | ||||
\(900\) | −2.00837 | − | 1.40075i | −0.0669457 | − | 0.0466918i | ||||
\(901\) | −1.80334 | − | 2.80604i | −0.0600778 | − | 0.0934829i | ||||
\(902\) | −8.25896 | + | 2.25633i | −0.274993 | + | 0.0751275i | ||||
\(903\) | −2.46814 | + | 3.84050i | −0.0821346 | + | 0.127804i | ||||
\(904\) | −2.24443 | − | 0.127461i | −0.0746487 | − | 0.00423928i | ||||
\(905\) | −22.2112 | + | 25.6331i | −0.738324 | + | 0.852072i | ||||
\(906\) | −12.6389 | − | 0.239024i | −0.419898 | − | 0.00794104i | ||||
\(907\) | −10.4825 | + | 4.78722i | −0.348067 | + | 0.158957i | −0.581775 | − | 0.813350i | \(-0.697641\pi\) |
0.233707 | + | 0.972307i | \(0.424914\pi\) | |||||||
\(908\) | −1.49728 | + | 39.5717i | −0.0496890 | + | 1.31323i | ||||
\(909\) | 2.74111 | − | 9.33537i | 0.0909170 | − | 0.309635i | ||||
\(910\) | −16.9322 | + | 10.4346i | −0.561296 | + | 0.345904i | ||||
\(911\) | 1.44276 | − | 10.0346i | 0.0478006 | − | 0.332461i | −0.951863 | − | 0.306524i | \(-0.900834\pi\) |
0.999664 | − | 0.0259368i | \(-0.00825687\pi\) | |||||||
\(912\) | −23.6980 | − | 5.26047i | −0.784718 | − | 0.174192i | ||||
\(913\) | −2.14260 | + | 4.69164i | −0.0709097 | + | 0.155271i | ||||
\(914\) | 4.99616 | − | 10.4143i | 0.165258 | − | 0.344475i | ||||
\(915\) | −3.34790 | − | 23.2852i | −0.110678 | − | 0.769783i | ||||
\(916\) | −4.17453 | + | 4.46475i | −0.137930 | + | 0.147520i | ||||
\(917\) | −4.15174 | − | 4.79136i | −0.137102 | − | 0.158225i | ||||
\(918\) | 0.259228 | + | 0.597267i | 0.00855581 | + | 0.0197127i | ||||
\(919\) | 37.1389 | 1.22510 | 0.612549 | − | 0.790432i | \(-0.290144\pi\) | ||||
0.612549 | + | 0.790432i | \(0.290144\pi\) | |||||||
\(920\) | −25.4554 | − | 22.3001i | −0.839238 | − | 0.735214i | ||||
\(921\) | −15.5542 | −0.512527 | ||||||||
\(922\) | 5.64749 | + | 13.0119i | 0.185990 | + | 0.428525i | ||||
\(923\) | 3.47410 | + | 4.00932i | 0.114351 | + | 0.131968i | ||||
\(924\) | −2.71679 | − | 2.54019i | −0.0893758 | − | 0.0835661i | ||||
\(925\) | 0.0671618 | + | 0.467120i | 0.00220827 | + | 0.0153588i | ||||
\(926\) | 19.5832 | − | 40.8205i | 0.643544 | − | 1.34144i | ||||
\(927\) | −5.85626 | + | 12.8234i | −0.192345 | + | 0.421176i | ||||
\(928\) | −35.4871 | − | 3.36527i | −1.16492 | − | 0.110470i | ||||
\(929\) | 8.23560 | − | 57.2798i | 0.270201 | − | 1.87929i | −0.176047 | − | 0.984382i | \(-0.556331\pi\) |
0.446248 | − | 0.894909i | \(-0.352760\pi\) | |||||||
\(930\) | −1.78697 | + | 1.10123i | −0.0585969 | + | 0.0361109i | ||||
\(931\) | 7.62940 | − | 25.9834i | 0.250044 | − | 0.851570i | ||||
\(932\) | 25.3682 | + | 0.959864i | 0.830964 | + | 0.0314414i | ||||
\(933\) | 13.6231 | − | 6.22147i | 0.446001 | − | 0.203682i | ||||
\(934\) | −22.9966 | − | 0.434908i | −0.752472 | − | 0.0142306i | ||||
\(935\) | 0.878092 | − | 1.01337i | 0.0287167 | − | 0.0331408i | ||||
\(936\) | 9.99267 | + | 0.567481i | 0.326621 | + | 0.0185487i | ||||
\(937\) | −0.889974 | + | 1.38483i | −0.0290742 | + | 0.0452403i | −0.855486 | − | 0.517825i | \(-0.826742\pi\) |
0.826412 | + | 0.563066i | \(0.190378\pi\) | |||||||
\(938\) | 3.31892 | − | 0.906720i | 0.108366 | − | 0.0296055i | ||||
\(939\) | −2.67849 | − | 4.16781i | −0.0874092 | − | 0.136011i | ||||
\(940\) | −0.434993 | + | 0.623683i | −0.0141879 | + | 0.0203423i | ||||
\(941\) | 25.1812 | − | 7.39388i | 0.820885 | − | 0.241034i | 0.155788 | − | 0.987791i | \(-0.450208\pi\) |
0.665097 | + | 0.746757i | \(0.268390\pi\) | |||||||
\(942\) | −33.6977 | + | 4.19630i | −1.09793 | + | 0.136723i | ||||
\(943\) | 9.15797 | − | 23.1233i | 0.298225 | − | 0.752999i | ||||
\(944\) | 7.15735 | − | 3.86892i | 0.232952 | − | 0.125923i | ||||
\(945\) | 3.81336 | − | 1.11970i | 0.124049 | − | 0.0364240i | ||||
\(946\) | −3.51637 | − | 3.16533i | −0.114327 | − | 0.102914i | ||||
\(947\) | 27.0474 | − | 17.3823i | 0.878924 | − | 0.564850i | −0.0215465 | − | 0.999768i | \(-0.506859\pi\) |
0.900470 | + | 0.434918i | \(0.143223\pi\) | |||||||
\(948\) | −6.24513 | − | 15.1679i | −0.202832 | − | 0.492631i | ||||
\(949\) | 20.6418 | − | 32.1193i | 0.670062 | − | 1.04264i | ||||
\(950\) | −10.0241 | − | 3.15041i | −0.325224 | − | 0.102213i | ||||
\(951\) | 15.6478 | + | 13.5589i | 0.507416 | + | 0.439679i | ||||
\(952\) | 2.02032 | − | 0.470639i | 0.0654790 | − | 0.0152535i | ||||
\(953\) | −52.8138 | + | 24.1193i | −1.71081 | + | 0.781300i | −0.714117 | + | 0.700027i | \(0.753171\pi\) |
−0.996692 | + | 0.0812732i | \(0.974101\pi\) | |||||||
\(954\) | 10.1123 | + | 1.64965i | 0.327397 | + | 0.0534095i | ||||
\(955\) | 34.4583 | + | 10.1179i | 1.11504 | + | 0.327407i | ||||
\(956\) | −35.0195 | + | 28.0983i | −1.13261 | + | 0.908763i | ||||
\(957\) | 1.04690 | − | 7.28135i | 0.0338415 | − | 0.235373i | ||||
\(958\) | 17.5692 | − | 26.2340i | 0.567636 | − | 0.847582i | ||||
\(959\) | −16.1776 | − | 7.38806i | −0.522402 | − | 0.238573i | ||||
\(960\) | 19.6639 | − | 3.41881i | 0.634648 | − | 0.110342i | ||||
\(961\) | −4.36139 | − | 30.3341i | −0.140690 | − | 0.978520i | ||||
\(962\) | −1.23544 | − | 1.48147i | −0.0398322 | − | 0.0477646i | ||||
\(963\) | −13.4928 | + | 11.6916i | −0.434800 | + | 0.376757i | ||||
\(964\) | −30.5583 | − | 51.7529i | −0.984217 | − | 1.66685i | ||||
\(965\) | −18.2249 | −0.586680 | ||||||||
\(966\) | 10.6390 | − | 1.88318i | 0.342304 | − | 0.0605904i | ||||
\(967\) | 45.1989i | 1.45350i | 0.686903 | + | 0.726749i | \(0.258970\pi\) | ||||
−0.686903 | + | 0.726749i | \(0.741030\pi\) | |||||||
\(968\) | −21.5793 | + | 16.6536i | −0.693584 | + | 0.535266i | ||||
\(969\) | 1.82968 | + | 2.11156i | 0.0587777 | + | 0.0678331i | ||||
\(970\) | −22.9557 | − | 27.5273i | −0.737064 | − | 0.883847i | ||||
\(971\) | 14.0038 | − | 2.01344i | 0.449402 | − | 0.0646143i | 0.0861018 | − | 0.996286i | \(-0.472559\pi\) |
0.363300 | + | 0.931672i | \(0.381650\pi\) | |||||||
\(972\) | −1.89631 | − | 0.635619i | −0.0608241 | − | 0.0203875i | ||||
\(973\) | −11.3437 | + | 24.8391i | −0.363661 | + | 0.796306i | ||||
\(974\) | −29.9572 | − | 20.0627i | −0.959891 | − | 0.642851i | ||||
\(975\) | 4.28826 | + | 0.616559i | 0.137334 | + | 0.0197457i | ||||
\(976\) | 30.0979 | + | 22.7307i | 0.963411 | + | 0.727593i | ||||
\(977\) | 7.88719 | − | 26.8613i | 0.252334 | − | 0.859369i | −0.731736 | − | 0.681588i | \(-0.761290\pi\) |
0.984070 | − | 0.177782i | \(-0.0568921\pi\) | |||||||
\(978\) | 18.0982 | + | 2.95243i | 0.578717 | + | 0.0944083i | ||||
\(979\) | −1.30938 | − | 2.86714i | −0.0418480 | − | 0.0916343i | ||||
\(980\) | 2.33316 | + | 22.1430i | 0.0745300 | + | 0.707331i | ||||
\(981\) | −11.4464 | + | 13.2098i | −0.365454 | + | 0.421757i | ||||
\(982\) | 16.8158 | − | 53.5053i | 0.536615 | − | 1.70742i | ||||
\(983\) | −6.51249 | − | 4.18532i | −0.207716 | − | 0.133491i | 0.432647 | − | 0.901563i | \(-0.357580\pi\) |
−0.640363 | + | 0.768072i | \(0.721216\pi\) | |||||||
\(984\) | 7.21773 | + | 12.7693i | 0.230093 | + | 0.407070i | ||||
\(985\) | −28.2870 | − | 44.0155i | −0.901299 | − | 1.40245i | ||||
\(986\) | 3.04937 | + | 2.74494i | 0.0971116 | + | 0.0874167i | ||||
\(987\) | −0.0683945 | − | 0.232930i | −0.00217702 | − | 0.00741425i | ||||
\(988\) | 41.6381 | − | 10.5335i | 1.32468 | − | 0.335117i | ||||
\(989\) | 13.4856 | − | 2.65097i | 0.428818 | − | 0.0842960i | ||||
\(990\) | 0.508980 | + | 4.08728i | 0.0161764 | + | 0.129902i | ||||
\(991\) | −14.6836 | − | 50.0079i | −0.466441 | − | 1.58855i | −0.771507 | − | 0.636221i | \(-0.780496\pi\) |
0.305065 | − | 0.952331i | \(-0.401322\pi\) | |||||||
\(992\) | 0.791289 | − | 3.27104i | 0.0251234 | − | 0.103856i | ||||
\(993\) | −24.4944 | + | 15.7416i | −0.777307 | + | 0.499545i | ||||
\(994\) | −3.25808 | + | 0.890100i | −0.103340 | + | 0.0282323i | ||||
\(995\) | −17.5938 | − | 11.3068i | −0.557760 | − | 0.358450i | ||||
\(996\) | 8.69262 | + | 1.58735i | 0.275436 | + | 0.0502971i | ||||
\(997\) | −36.7724 | − | 31.8635i | −1.16459 | − | 1.00913i | −0.999740 | − | 0.0228082i | \(-0.992739\pi\) |
−0.164854 | − | 0.986318i | \(-0.552715\pi\) | |||||||
\(998\) | 0.748424 | − | 39.5743i | 0.0236909 | − | 1.25270i | ||||
\(999\) | 0.160127 | + | 0.350630i | 0.00506621 | + | 0.0110934i |
(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 | 552.2.t.a.451.4 | yes | 240 | |
8.3 | odd | 2 | inner | 552.2.t.a.451.1 | yes | 240 | |
23.5 | odd | 22 | inner | 552.2.t.a.235.1 | ✓ | 240 | |
184.51 | even | 22 | inner | 552.2.t.a.235.4 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.t.a.235.1 | ✓ | 240 | 23.5 | odd | 22 | inner | |
552.2.t.a.235.4 | yes | 240 | 184.51 | even | 22 | inner | |
552.2.t.a.451.1 | yes | 240 | 8.3 | odd | 2 | inner | |
552.2.t.a.451.4 | yes | 240 | 1.1 | even | 1 | trivial |