Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 103.9 | ||
Character | \(\chi\) | \(=\) | 230.103 |
Dual form | 230.2.l.a.67.9 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.212565 | − | 0.977147i | 0.150306 | − | 0.690947i | ||||
\(3\) | −0.985673 | + | 0.737866i | −0.569079 | + | 0.426007i | −0.844685 | − | 0.535264i | \(-0.820212\pi\) |
0.275606 | + | 0.961271i | \(0.411121\pi\) | |||||||
\(4\) | −0.909632 | − | 0.415415i | −0.454816 | − | 0.207708i | ||||
\(5\) | 1.29447 | + | 1.82328i | 0.578907 | + | 0.815394i | ||||
\(6\) | 0.511483 | + | 1.11999i | 0.208812 | + | 0.457235i | ||||
\(7\) | −0.0864458 | + | 1.20867i | −0.0326734 | + | 0.456834i | 0.954609 | + | 0.297861i | \(0.0962731\pi\) |
−0.987283 | + | 0.158974i | \(0.949181\pi\) | |||||||
\(8\) | −0.599278 | + | 0.800541i | −0.211877 | + | 0.283034i | ||||
\(9\) | −0.418092 | + | 1.42389i | −0.139364 | + | 0.474630i | ||||
\(10\) | 2.05677 | − | 0.877326i | 0.650407 | − | 0.277435i | ||||
\(11\) | −1.71419 | + | 2.66733i | −0.516848 | + | 0.804231i | −0.997349 | − | 0.0727629i | \(-0.976818\pi\) |
0.480501 | + | 0.876994i | \(0.340455\pi\) | |||||||
\(12\) | 1.20312 | − | 0.261723i | 0.347311 | − | 0.0755529i | ||||
\(13\) | 5.12881 | − | 0.366820i | 1.42248 | − | 0.101738i | 0.661222 | − | 0.750191i | \(-0.270038\pi\) |
0.761255 | + | 0.648453i | \(0.224584\pi\) | |||||||
\(14\) | 1.16267 | + | 0.341392i | 0.310737 | + | 0.0912407i | ||||
\(15\) | −2.62126 | − | 0.842007i | −0.676807 | − | 0.217405i | ||||
\(16\) | 0.654861 | + | 0.755750i | 0.163715 | + | 0.188937i | ||||
\(17\) | 1.27205 | − | 3.41051i | 0.308518 | − | 0.827170i | −0.686468 | − | 0.727160i | \(-0.740840\pi\) |
0.994986 | − | 0.100010i | \(-0.0318874\pi\) | |||||||
\(18\) | 1.30248 | + | 0.711206i | 0.306997 | + | 0.167633i | ||||
\(19\) | −0.552811 | + | 1.21049i | −0.126824 | + | 0.277705i | −0.962384 | − | 0.271694i | \(-0.912416\pi\) |
0.835560 | + | 0.549399i | \(0.185143\pi\) | |||||||
\(20\) | −0.420079 | − | 2.19625i | −0.0939325 | − | 0.491097i | ||||
\(21\) | −0.806629 | − | 1.25514i | −0.176021 | − | 0.273894i | ||||
\(22\) | 2.24200 | + | 2.24200i | 0.477996 | + | 0.477996i | ||||
\(23\) | 3.64105 | + | 3.12134i | 0.759211 | + | 0.650845i | ||||
\(24\) | − | 1.23126i | − | 0.251330i | ||||||
\(25\) | −1.64867 | + | 4.72037i | −0.329734 | + | 0.944074i | ||||
\(26\) | 0.731770 | − | 5.08957i | 0.143512 | − | 0.998148i | ||||
\(27\) | −1.92938 | − | 5.17287i | −0.371309 | − | 0.995519i | ||||
\(28\) | 0.580734 | − | 1.06353i | 0.109748 | − | 0.200989i | ||||
\(29\) | 0.381814 | − | 0.174369i | 0.0709011 | − | 0.0323795i | −0.379649 | − | 0.925131i | \(-0.623955\pi\) |
0.450550 | + | 0.892751i | \(0.351228\pi\) | |||||||
\(30\) | −1.37995 | + | 2.38238i | −0.251944 | + | 0.434961i | ||||
\(31\) | −0.00687467 | − | 0.0478144i | −0.00123473 | − | 0.00858771i | 0.989195 | − | 0.146607i | \(-0.0468354\pi\) |
−0.990429 | + | 0.138020i | \(0.955926\pi\) | |||||||
\(32\) | 0.877679 | − | 0.479249i | 0.155153 | − | 0.0847201i | ||||
\(33\) | −0.278502 | − | 3.89396i | −0.0484809 | − | 0.677852i | ||||
\(34\) | −3.06217 | − | 1.96794i | −0.525158 | − | 0.337499i | ||||
\(35\) | −2.31564 | + | 1.40698i | −0.391415 | + | 0.237823i | ||||
\(36\) | 0.971814 | − | 1.12153i | 0.161969 | − | 0.186922i | ||||
\(37\) | −3.33816 | − | 6.11338i | −0.548790 | − | 1.00503i | −0.993976 | − | 0.109596i | \(-0.965044\pi\) |
0.445186 | − | 0.895438i | \(-0.353138\pi\) | |||||||
\(38\) | 1.06532 | + | 0.797485i | 0.172817 | + | 0.129369i | ||||
\(39\) | −4.78467 | + | 4.14594i | −0.766160 | + | 0.663882i | ||||
\(40\) | −2.23536 | − | 0.0563686i | −0.353441 | − | 0.00891266i | ||||
\(41\) | −7.66309 | + | 2.25009i | −1.19677 | + | 0.351405i | −0.818619 | − | 0.574337i | \(-0.805260\pi\) |
−0.378156 | + | 0.925742i | \(0.623442\pi\) | |||||||
\(42\) | −1.39792 | + | 0.521396i | −0.215703 | + | 0.0804532i | ||||
\(43\) | −7.09311 | − | 9.47529i | −1.08169 | − | 1.44497i | −0.885639 | − | 0.464374i | \(-0.846280\pi\) |
−0.196050 | − | 0.980594i | \(-0.562811\pi\) | |||||||
\(44\) | 2.66733 | − | 1.71419i | 0.402116 | − | 0.258424i | ||||
\(45\) | −3.13735 | + | 1.08089i | −0.467689 | + | 0.161130i | ||||
\(46\) | 3.82397 | − | 2.89435i | 0.563814 | − | 0.426748i | ||||
\(47\) | −0.789829 | + | 0.789829i | −0.115208 | + | 0.115208i | −0.762361 | − | 0.647152i | \(-0.775960\pi\) |
0.647152 | + | 0.762361i | \(0.275960\pi\) | |||||||
\(48\) | −1.20312 | − | 0.261723i | −0.173656 | − | 0.0377764i | ||||
\(49\) | 5.47534 | + | 0.787235i | 0.782191 | + | 0.112462i | ||||
\(50\) | 4.26204 | + | 2.61438i | 0.602744 | + | 0.369729i | ||||
\(51\) | 1.26267 | + | 4.30025i | 0.176809 | + | 0.602156i | ||||
\(52\) | −4.81771 | − | 1.79691i | −0.668097 | − | 0.249187i | ||||
\(53\) | 10.3439 | + | 0.739812i | 1.42085 | + | 0.101621i | 0.760499 | − | 0.649339i | \(-0.224954\pi\) |
0.660348 | + | 0.750960i | \(0.270409\pi\) | |||||||
\(54\) | −5.46477 | + | 0.785715i | −0.743661 | + | 0.106922i | ||||
\(55\) | −7.08226 | + | 0.327351i | −0.954972 | + | 0.0441400i | ||||
\(56\) | −0.915785 | − | 0.793533i | −0.122377 | − | 0.106040i | ||||
\(57\) | −0.348286 | − | 1.60105i | −0.0461316 | − | 0.212064i | ||||
\(58\) | −0.0892234 | − | 0.410153i | −0.0117156 | − | 0.0538558i | ||||
\(59\) | −1.43884 | − | 1.24677i | −0.187322 | − | 0.162315i | 0.556151 | − | 0.831081i | \(-0.312277\pi\) |
−0.743473 | + | 0.668766i | \(0.766823\pi\) | |||||||
\(60\) | 2.03460 | + | 1.85483i | 0.262666 | + | 0.239457i | ||||
\(61\) | 3.22324 | − | 0.463432i | 0.412693 | − | 0.0593364i | 0.0671587 | − | 0.997742i | \(-0.478607\pi\) |
0.345535 | + | 0.938406i | \(0.387698\pi\) | |||||||
\(62\) | −0.0481830 | − | 0.00344611i | −0.00611924 | − | 0.000437657i | ||||
\(63\) | −1.68487 | − | 0.628424i | −0.212274 | − | 0.0791740i | ||||
\(64\) | −0.281733 | − | 0.959493i | −0.0352166 | − | 0.119937i | ||||
\(65\) | 7.30793 | + | 8.87640i | 0.906437 | + | 1.10098i | ||||
\(66\) | −3.86417 | − | 0.555584i | −0.475647 | − | 0.0683877i | ||||
\(67\) | 4.80982 | + | 1.04631i | 0.587613 | + | 0.127827i | 0.496535 | − | 0.868017i | \(-0.334605\pi\) |
0.0910773 | + | 0.995844i | \(0.470969\pi\) | |||||||
\(68\) | −2.57388 | + | 2.57388i | −0.312128 | + | 0.312128i | ||||
\(69\) | −5.89202 | − | 0.390022i | −0.709315 | − | 0.0469531i | ||||
\(70\) | 0.882599 | + | 2.56180i | 0.105491 | + | 0.306193i | ||||
\(71\) | −6.59587 | + | 4.23891i | −0.782786 | + | 0.503066i | −0.869957 | − | 0.493128i | \(-0.835854\pi\) |
0.0871715 | + | 0.996193i | \(0.472217\pi\) | |||||||
\(72\) | −0.889329 | − | 1.18800i | −0.104808 | − | 0.140008i | ||||
\(73\) | 11.1774 | − | 4.16896i | 1.30822 | − | 0.487940i | 0.403901 | − | 0.914803i | \(-0.367654\pi\) |
0.904316 | + | 0.426863i | \(0.140381\pi\) | |||||||
\(74\) | −6.68325 | + | 1.96238i | −0.776912 | + | 0.228122i | ||||
\(75\) | −1.85795 | − | 5.86924i | −0.214537 | − | 0.677722i | ||||
\(76\) | 1.00571 | − | 0.871452i | 0.115363 | − | 0.0999624i | ||||
\(77\) | −3.07574 | − | 2.30247i | −0.350513 | − | 0.262391i | ||||
\(78\) | 3.03414 | + | 5.55661i | 0.343548 | + | 0.629162i | ||||
\(79\) | 9.78605 | − | 11.2937i | 1.10102 | − | 1.27064i | 0.141210 | − | 0.989980i | \(-0.454901\pi\) |
0.959807 | − | 0.280662i | \(-0.0905538\pi\) | |||||||
\(80\) | −0.530240 | + | 2.17229i | −0.0592826 | + | 0.242869i | ||||
\(81\) | 1.97336 | + | 1.26820i | 0.219262 | + | 0.140911i | ||||
\(82\) | 0.569758 | + | 7.96626i | 0.0629193 | + | 0.879726i | ||||
\(83\) | −5.45048 | + | 2.97619i | −0.598268 | + | 0.326679i | −0.749689 | − | 0.661790i | \(-0.769797\pi\) |
0.151421 | + | 0.988469i | \(0.451615\pi\) | |||||||
\(84\) | 0.212332 | + | 1.47680i | 0.0231673 | + | 0.161132i | ||||
\(85\) | 7.86494 | − | 2.09551i | 0.853072 | − | 0.227290i | ||||
\(86\) | −10.7665 | + | 4.91689i | −1.16098 | + | 0.530202i | ||||
\(87\) | −0.247683 | + | 0.453598i | −0.0265544 | + | 0.0486308i | ||||
\(88\) | −1.10803 | − | 2.97075i | −0.118117 | − | 0.316683i | ||||
\(89\) | 0.260623 | − | 1.81268i | 0.0276260 | − | 0.192143i | −0.971335 | − | 0.237715i | \(-0.923602\pi\) |
0.998961 | + | 0.0455713i | \(0.0145108\pi\) | |||||||
\(90\) | 0.389298 | + | 3.29541i | 0.0410356 | + | 0.347367i | ||||
\(91\) | 6.23075i | 0.653160i | ||||||||
\(92\) | −2.01536 | − | 4.35182i | −0.210116 | − | 0.453709i | ||||
\(93\) | 0.0420568 | + | 0.0420568i | 0.00436108 | + | 0.00436108i | ||||
\(94\) | 0.603889 | + | 0.939669i | 0.0622864 | + | 0.0969195i | ||||
\(95\) | −2.92265 | + | 0.559018i | −0.299858 | + | 0.0573540i | ||||
\(96\) | −0.511483 | + | 1.11999i | −0.0522031 | + | 0.114309i | ||||
\(97\) | −2.35850 | − | 1.28784i | −0.239469 | − | 0.130760i | 0.355034 | − | 0.934853i | \(-0.384469\pi\) |
−0.594503 | + | 0.804093i | \(0.702651\pi\) | |||||||
\(98\) | 1.93311 | − | 5.18287i | 0.195274 | − | 0.523549i | ||||
\(99\) | −3.08130 | − | 3.55601i | −0.309682 | − | 0.357392i | ||||
\(100\) | 3.46060 | − | 3.60892i | 0.346060 | − | 0.360892i | ||||
\(101\) | 9.73371 | + | 2.85808i | 0.968541 | + | 0.284389i | 0.727486 | − | 0.686122i | \(-0.240689\pi\) |
0.241055 | + | 0.970512i | \(0.422507\pi\) | |||||||
\(102\) | 4.47038 | − | 0.319728i | 0.442633 | − | 0.0316578i | ||||
\(103\) | 10.9932 | − | 2.39142i | 1.08319 | − | 0.235634i | 0.364669 | − | 0.931137i | \(-0.381182\pi\) |
0.718523 | + | 0.695503i | \(0.244818\pi\) | |||||||
\(104\) | −2.77993 | + | 4.32565i | −0.272594 | + | 0.424165i | ||||
\(105\) | 1.24431 | − | 3.09545i | 0.121432 | − | 0.302085i | ||||
\(106\) | 2.92166 | − | 9.95027i | 0.283777 | − | 0.966456i | ||||
\(107\) | 1.80852 | − | 2.41590i | 0.174836 | − | 0.233554i | −0.704560 | − | 0.709644i | \(-0.748856\pi\) |
0.879396 | + | 0.476090i | \(0.157946\pi\) | |||||||
\(108\) | −0.393861 | + | 5.50690i | −0.0378993 | + | 0.529902i | ||||
\(109\) | −7.43710 | − | 16.2850i | −0.712345 | − | 1.55982i | −0.824331 | − | 0.566108i | \(-0.808449\pi\) |
0.111986 | − | 0.993710i | \(-0.464279\pi\) | |||||||
\(110\) | −1.18557 | + | 6.98999i | −0.113040 | + | 0.666470i | ||||
\(111\) | 7.80119 | + | 3.56269i | 0.740457 | + | 0.338155i | ||||
\(112\) | −0.970062 | + | 0.726179i | −0.0916622 | + | 0.0686175i | ||||
\(113\) | 0.835857 | − | 3.84237i | 0.0786308 | − | 0.361460i | −0.920972 | − | 0.389628i | \(-0.872604\pi\) |
0.999603 | + | 0.0281679i | \(0.00896731\pi\) | |||||||
\(114\) | −1.63849 | −0.153459 | ||||||||
\(115\) | −0.977831 | + | 10.6791i | −0.0911832 | + | 0.995834i | ||||
\(116\) | −0.419746 | −0.0389724 | ||||||||
\(117\) | −1.62200 | + | 7.45622i | −0.149954 | + | 0.689328i | ||||
\(118\) | −1.52412 | + | 1.14094i | −0.140307 | + | 0.105032i | ||||
\(119\) | 4.01222 | + | 1.83232i | 0.367799 | + | 0.167968i | ||||
\(120\) | 2.24492 | − | 1.59383i | 0.204933 | − | 0.145496i | ||||
\(121\) | 0.393350 | + | 0.861316i | 0.0357591 | + | 0.0783015i | ||||
\(122\) | 0.232308 | − | 3.24809i | 0.0210322 | − | 0.294068i | ||||
\(123\) | 5.89305 | − | 7.87219i | 0.531358 | − | 0.709811i | ||||
\(124\) | −0.0136094 | + | 0.0463493i | −0.00122216 | + | 0.00416229i | ||||
\(125\) | −10.7407 | + | 3.10441i | −0.960677 | + | 0.277667i | ||||
\(126\) | −0.972208 | + | 1.51278i | −0.0866111 | + | 0.134770i | ||||
\(127\) | 12.7015 | − | 2.76305i | 1.12708 | − | 0.245181i | 0.389886 | − | 0.920863i | \(-0.372515\pi\) |
0.737193 | + | 0.675682i | \(0.236151\pi\) | |||||||
\(128\) | −0.997452 | + | 0.0713392i | −0.0881631 | + | 0.00630555i | ||||
\(129\) | 13.9830 | + | 4.10577i | 1.23113 | + | 0.361493i | ||||
\(130\) | 10.2270 | − | 5.25410i | 0.896964 | − | 0.460815i | ||||
\(131\) | 7.88135 | + | 9.09556i | 0.688597 | + | 0.794683i | 0.987165 | − | 0.159705i | \(-0.0510544\pi\) |
−0.298568 | + | 0.954388i | \(0.596509\pi\) | |||||||
\(132\) | −1.36428 | + | 3.65777i | −0.118745 | + | 0.318368i | ||||
\(133\) | −1.41529 | − | 0.772808i | −0.122721 | − | 0.0670110i | ||||
\(134\) | 2.04480 | − | 4.47749i | 0.176644 | − | 0.386796i | ||||
\(135\) | 6.93403 | − | 10.2139i | 0.596787 | − | 0.879076i | ||||
\(136\) | 1.96794 | + | 3.06217i | 0.168749 | + | 0.262579i | ||||
\(137\) | 7.15888 | + | 7.15888i | 0.611624 | + | 0.611624i | 0.943369 | − | 0.331745i | \(-0.107637\pi\) |
−0.331745 | + | 0.943369i | \(0.607637\pi\) | |||||||
\(138\) | −1.63355 | + | 5.67446i | −0.139057 | + | 0.483042i | ||||
\(139\) | − | 6.26942i | − | 0.531765i | −0.964005 | − | 0.265883i | \(-0.914337\pi\) | ||
0.964005 | − | 0.265883i | \(-0.0856633\pi\) | |||||||
\(140\) | 2.69086 | − | 0.317880i | 0.227419 | − | 0.0268658i | ||||
\(141\) | 0.195726 | − | 1.36130i | 0.0164831 | − | 0.114642i | ||||
\(142\) | 2.73998 | + | 7.34618i | 0.229934 | + | 0.616477i | ||||
\(143\) | −7.81333 | + | 14.3090i | −0.653383 | + | 1.19658i | ||||
\(144\) | −1.34990 | + | 0.616477i | −0.112491 | + | 0.0513730i | ||||
\(145\) | 0.812171 | + | 0.470437i | 0.0674471 | + | 0.0390677i | ||||
\(146\) | −1.69776 | − | 11.8081i | −0.140507 | − | 0.977249i | ||||
\(147\) | −5.97777 | + | 3.26411i | −0.493038 | + | 0.269219i | ||||
\(148\) | 0.496906 | + | 6.94765i | 0.0408454 | + | 0.571093i | ||||
\(149\) | −6.29025 | − | 4.04250i | −0.515317 | − | 0.331174i | 0.257000 | − | 0.966411i | \(-0.417266\pi\) |
−0.772317 | + | 0.635237i | \(0.780902\pi\) | |||||||
\(150\) | −6.13005 | + | 0.567890i | −0.500516 | + | 0.0463680i | ||||
\(151\) | 4.15764 | − | 4.79818i | 0.338344 | − | 0.390470i | −0.560924 | − | 0.827867i | \(-0.689554\pi\) |
0.899268 | + | 0.437397i | \(0.144100\pi\) | |||||||
\(152\) | −0.637758 | − | 1.16797i | −0.0517290 | − | 0.0947346i | ||||
\(153\) | 4.32435 | + | 3.23717i | 0.349603 | + | 0.261710i | ||||
\(154\) | −2.90365 | + | 2.51603i | −0.233983 | + | 0.202747i | ||||
\(155\) | 0.0782797 | − | 0.0744289i | 0.00628758 | − | 0.00597827i | ||||
\(156\) | 6.07457 | − | 1.78366i | 0.486355 | − | 0.142807i | ||||
\(157\) | −20.0250 | + | 7.46894i | −1.59817 | + | 0.596087i | −0.981555 | − | 0.191179i | \(-0.938769\pi\) |
−0.616615 | + | 0.787265i | \(0.711496\pi\) | |||||||
\(158\) | −8.95543 | − | 11.9631i | −0.712456 | − | 0.951730i | ||||
\(159\) | −10.7416 | + | 6.90322i | −0.851865 | + | 0.547461i | ||||
\(160\) | 2.00994 | + | 0.979876i | 0.158899 | + | 0.0774660i | ||||
\(161\) | −4.08743 | + | 4.13100i | −0.322134 | + | 0.325568i | ||||
\(162\) | 1.65868 | − | 1.65868i | 0.130319 | − | 0.130319i | ||||
\(163\) | −18.5356 | − | 4.03217i | −1.45182 | − | 0.315824i | −0.583616 | − | 0.812030i | \(-0.698363\pi\) |
−0.868205 | + | 0.496206i | \(0.834726\pi\) | |||||||
\(164\) | 7.90532 | + | 1.13661i | 0.617301 | + | 0.0887545i | ||||
\(165\) | 6.73926 | − | 5.54842i | 0.524650 | − | 0.431944i | ||||
\(166\) | 1.74959 | + | 5.95856i | 0.135795 | + | 0.462474i | ||||
\(167\) | −5.92884 | − | 2.21134i | −0.458787 | − | 0.171119i | 0.109435 | − | 0.993994i | \(-0.465096\pi\) |
−0.568222 | + | 0.822875i | \(0.692369\pi\) | |||||||
\(168\) | 1.48819 | + | 0.106437i | 0.114816 | + | 0.00821181i | ||||
\(169\) | 13.3025 | − | 1.91261i | 1.02327 | − | 0.147124i | ||||
\(170\) | −0.375808 | − | 8.13063i | −0.0288231 | − | 0.623591i | ||||
\(171\) | −1.49247 | − | 1.29324i | −0.114132 | − | 0.0988963i | ||||
\(172\) | 2.51594 | + | 11.5656i | 0.191839 | + | 0.881869i | ||||
\(173\) | 4.47160 | + | 20.5556i | 0.339969 | + | 1.56281i | 0.756686 | + | 0.653778i | \(0.226817\pi\) |
−0.416717 | + | 0.909036i | \(0.636819\pi\) | |||||||
\(174\) | 0.390583 | + | 0.338442i | 0.0296100 | + | 0.0256572i | ||||
\(175\) | −5.56285 | − | 2.40076i | −0.420512 | − | 0.181480i | ||||
\(176\) | −3.13839 | + | 0.451233i | −0.236565 | + | 0.0340129i | ||||
\(177\) | 2.33818 | + | 0.167230i | 0.175748 | + | 0.0125698i | ||||
\(178\) | −1.71585 | − | 0.639979i | −0.128608 | − | 0.0479685i | ||||
\(179\) | 4.10434 | + | 13.9781i | 0.306773 | + | 1.04477i | 0.958209 | + | 0.286069i | \(0.0923488\pi\) |
−0.651436 | + | 0.758704i | \(0.725833\pi\) | |||||||
\(180\) | 3.30285 | + | 0.320090i | 0.246180 | + | 0.0238581i | ||||
\(181\) | −23.5541 | − | 3.38657i | −1.75076 | − | 0.251722i | −0.808954 | − | 0.587872i | \(-0.799966\pi\) |
−0.941808 | + | 0.336150i | \(0.890875\pi\) | |||||||
\(182\) | 6.08836 | + | 1.32444i | 0.451299 | + | 0.0981741i | ||||
\(183\) | −2.83511 | + | 2.83511i | −0.209577 | + | 0.209577i | ||||
\(184\) | −4.68076 | + | 1.04426i | −0.345070 | + | 0.0769836i | ||||
\(185\) | 6.82523 | − | 14.0000i | 0.501801 | − | 1.02930i | ||||
\(186\) | 0.0500354 | − | 0.0321558i | 0.00366878 | − | 0.00235778i | ||||
\(187\) | 6.91642 | + | 9.23925i | 0.505779 | + | 0.675641i | ||||
\(188\) | 1.04656 | − | 0.390347i | 0.0763283 | − | 0.0284690i | ||||
\(189\) | 6.41908 | − | 1.88481i | 0.466919 | − | 0.137100i | ||||
\(190\) | −0.0750122 | + | 2.97469i | −0.00544196 | + | 0.215807i | ||||
\(191\) | −13.6299 | + | 11.8104i | −0.986228 | + | 0.854571i | −0.989369 | − | 0.145424i | \(-0.953545\pi\) |
0.00314163 | + | 0.999995i | \(0.499000\pi\) | |||||||
\(192\) | 0.985673 | + | 0.737866i | 0.0711349 | + | 0.0532509i | ||||
\(193\) | 0.282576 | + | 0.517500i | 0.0203403 | + | 0.0372504i | 0.887651 | − | 0.460516i | \(-0.152336\pi\) |
−0.867311 | + | 0.497766i | \(0.834154\pi\) | |||||||
\(194\) | −1.75974 | + | 2.03085i | −0.126342 | + | 0.145806i | ||||
\(195\) | −13.7528 | − | 3.35696i | −0.984860 | − | 0.240397i | ||||
\(196\) | −4.65351 | − | 2.99063i | −0.332394 | − | 0.213617i | ||||
\(197\) | −1.53141 | − | 21.4119i | −0.109109 | − | 1.52554i | −0.697279 | − | 0.716800i | \(-0.745606\pi\) |
0.588171 | − | 0.808737i | \(-0.299848\pi\) | |||||||
\(198\) | −4.12972 | + | 2.25500i | −0.293486 | + | 0.160256i | ||||
\(199\) | 2.94488 | + | 20.4821i | 0.208757 | + | 1.45194i | 0.777220 | + | 0.629229i | \(0.216629\pi\) |
−0.568463 | + | 0.822709i | \(0.692462\pi\) | |||||||
\(200\) | −2.79084 | − | 4.14864i | −0.197342 | − | 0.293353i | ||||
\(201\) | −5.51295 | + | 2.51768i | −0.388853 | + | 0.177583i | ||||
\(202\) | 4.86181 | − | 8.90374i | 0.342076 | − | 0.626465i | ||||
\(203\) | 0.177748 | + | 0.476561i | 0.0124755 | + | 0.0334480i | ||||
\(204\) | 0.637826 | − | 4.43618i | 0.0446568 | − | 0.310595i | ||||
\(205\) | −14.0222 | − | 11.0593i | −0.979354 | − | 0.772412i | ||||
\(206\) | − | 11.2503i | − | 0.783846i | ||||||
\(207\) | −5.96674 | + | 3.87944i | −0.414717 | + | 0.269640i | ||||
\(208\) | 3.63588 | + | 3.63588i | 0.252103 | + | 0.252103i | ||||
\(209\) | −2.28115 | − | 3.54954i | −0.157790 | − | 0.245527i | ||||
\(210\) | −2.76022 | − | 1.87386i | −0.190473 | − | 0.129308i | ||||
\(211\) | 10.6549 | − | 23.3309i | 0.733511 | − | 1.60617i | −0.0604304 | − | 0.998172i | \(-0.519247\pi\) |
0.793942 | − | 0.607994i | \(-0.208025\pi\) | |||||||
\(212\) | −9.10183 | − | 4.96998i | −0.625117 | − | 0.341339i | ||||
\(213\) | 3.37363 | − | 9.04504i | 0.231157 | − | 0.619756i | ||||
\(214\) | −1.97626 | − | 2.28073i | −0.135095 | − | 0.155907i | ||||
\(215\) | 8.09421 | − | 25.1982i | 0.552021 | − | 1.71850i | ||||
\(216\) | 5.29733 | + | 1.55544i | 0.360438 | + | 0.105834i | ||||
\(217\) | 0.0583861 | − | 0.00417585i | 0.00396351 | − | 0.000283476i | ||||
\(218\) | −17.4937 | + | 3.80552i | −1.18482 | + | 0.257742i | ||||
\(219\) | −7.94114 | + | 12.3567i | −0.536613 | + | 0.834986i | ||||
\(220\) | 6.57824 | + | 2.64431i | 0.443505 | + | 0.178279i | ||||
\(221\) | 5.27308 | − | 17.9585i | 0.354706 | − | 1.20802i | ||||
\(222\) | 5.13953 | − | 6.86561i | 0.344943 | − | 0.460790i | ||||
\(223\) | 0.552974 | − | 7.73159i | 0.0370299 | − | 0.517745i | −0.944758 | − | 0.327767i | \(-0.893704\pi\) |
0.981788 | − | 0.189978i | \(-0.0608417\pi\) | |||||||
\(224\) | 0.503382 | + | 1.10225i | 0.0336336 | + | 0.0736474i | ||||
\(225\) | −6.03199 | − | 4.32107i | −0.402132 | − | 0.288072i | ||||
\(226\) | −3.57689 | − | 1.63351i | −0.237931 | − | 0.108659i | ||||
\(227\) | 2.40772 | − | 1.80240i | 0.159806 | − | 0.119629i | −0.516382 | − | 0.856358i | \(-0.672722\pi\) |
0.676188 | + | 0.736729i | \(0.263631\pi\) | |||||||
\(228\) | −0.348286 | + | 1.60105i | −0.0230658 | + | 0.106032i | ||||
\(229\) | 8.82281 | 0.583028 | 0.291514 | − | 0.956567i | \(-0.405841\pi\) | ||||
0.291514 | + | 0.956567i | \(0.405841\pi\) | |||||||
\(230\) | 10.2272 | + | 3.22550i | 0.674363 | + | 0.212683i | ||||
\(231\) | 4.73059 | 0.311250 | ||||||||
\(232\) | −0.0892234 | + | 0.410153i | −0.00585780 | + | 0.0269279i | ||||
\(233\) | −6.31698 | + | 4.72883i | −0.413839 | + | 0.309796i | −0.785833 | − | 0.618439i | \(-0.787765\pi\) |
0.371993 | + | 0.928235i | \(0.378674\pi\) | |||||||
\(234\) | 6.94104 | + | 3.16987i | 0.453750 | + | 0.207221i | ||||
\(235\) | −2.46249 | − | 0.417663i | −0.160635 | − | 0.0272453i | ||||
\(236\) | 0.790894 | + | 1.73182i | 0.0514828 | + | 0.112732i | ||||
\(237\) | −1.31261 | + | 18.3527i | −0.0852633 | + | 1.19214i | ||||
\(238\) | 2.64330 | − | 3.53104i | 0.171340 | − | 0.228883i | ||||
\(239\) | −1.70779 | + | 5.81620i | −0.110468 | + | 0.376219i | −0.996107 | − | 0.0881559i | \(-0.971903\pi\) |
0.885639 | + | 0.464374i | \(0.153721\pi\) | |||||||
\(240\) | −1.08022 | − | 2.53241i | −0.0697276 | − | 0.163467i | ||||
\(241\) | 0.603307 | − | 0.938764i | 0.0388624 | − | 0.0604711i | −0.821279 | − | 0.570527i | \(-0.806739\pi\) |
0.860141 | + | 0.510056i | \(0.170375\pi\) | |||||||
\(242\) | 0.925245 | − | 0.201275i | 0.0594770 | − | 0.0129384i | ||||
\(243\) | 13.6399 | − | 0.975542i | 0.874997 | − | 0.0625810i | ||||
\(244\) | −3.12448 | − | 0.917429i | −0.200024 | − | 0.0587324i | ||||
\(245\) | 5.65234 | + | 11.0021i | 0.361115 | + | 0.702899i | ||||
\(246\) | −6.43963 | − | 7.43172i | −0.410576 | − | 0.473829i | ||||
\(247\) | −2.39123 | + | 6.41114i | −0.152151 | + | 0.407931i | ||||
\(248\) | 0.0423972 | + | 0.0231506i | 0.00269223 | + | 0.00147007i | ||||
\(249\) | 3.17637 | − | 6.95528i | 0.201294 | − | 0.440773i | ||||
\(250\) | 0.750365 | + | 11.1551i | 0.0474573 | + | 0.705512i | ||||
\(251\) | −14.8573 | − | 23.1184i | −0.937785 | − | 1.45922i | −0.887671 | − | 0.460479i | \(-0.847678\pi\) |
−0.0501147 | − | 0.998743i | \(-0.515959\pi\) | |||||||
\(252\) | 1.27156 | + | 1.27156i | 0.0801004 | + | 0.0801004i | ||||
\(253\) | −14.5671 | + | 4.36130i | −0.915826 | + | 0.274193i | ||||
\(254\) | − | 12.9986i | − | 0.815604i | ||||||
\(255\) | −6.20606 | + | 7.86876i | −0.388638 | + | 0.492761i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −0.341693 | − | 0.916115i | −0.0213142 | − | 0.0571457i | 0.925857 | − | 0.377874i | \(-0.123345\pi\) |
−0.947171 | + | 0.320729i | \(0.896072\pi\) | |||||||
\(258\) | 6.98424 | − | 12.7907i | 0.434820 | − | 0.796313i | ||||
\(259\) | 7.67764 | − | 3.50626i | 0.477065 | − | 0.217868i | ||||
\(260\) | −2.96014 | − | 11.1101i | −0.183580 | − | 0.689018i | ||||
\(261\) | 0.0886484 | + | 0.616563i | 0.00548720 | + | 0.0381643i | ||||
\(262\) | 10.5630 | − | 5.76783i | 0.652584 | − | 0.356338i | ||||
\(263\) | −0.485451 | − | 6.78749i | −0.0299342 | − | 0.418535i | −0.990220 | − | 0.139516i | \(-0.955445\pi\) |
0.960286 | − | 0.279019i | \(-0.0900092\pi\) | |||||||
\(264\) | 3.28418 | + | 2.11061i | 0.202127 | + | 0.129899i | ||||
\(265\) | 12.0411 | + | 19.8175i | 0.739677 | + | 1.21738i | ||||
\(266\) | −1.05599 | + | 1.21868i | −0.0647468 | + | 0.0747218i | ||||
\(267\) | 1.08062 | + | 1.97901i | 0.0661330 | + | 0.121114i | ||||
\(268\) | −3.94051 | − | 2.94983i | −0.240705 | − | 0.180189i | ||||
\(269\) | −11.2785 | + | 9.77286i | −0.687661 | + | 0.595862i | −0.926994 | − | 0.375076i | \(-0.877617\pi\) |
0.239333 | + | 0.970938i | \(0.423071\pi\) | |||||||
\(270\) | −8.50658 | − | 8.94670i | −0.517694 | − | 0.544479i | ||||
\(271\) | 0.0740959 | − | 0.0217565i | 0.00450100 | − | 0.00132161i | −0.279481 | − | 0.960151i | \(-0.590162\pi\) |
0.283982 | + | 0.958830i | \(0.408344\pi\) | |||||||
\(272\) | 3.41051 | − | 1.27205i | 0.206792 | − | 0.0771296i | ||||
\(273\) | −4.59746 | − | 6.14149i | −0.278251 | − | 0.371700i | ||||
\(274\) | 8.51700 | − | 5.47355i | 0.514531 | − | 0.330669i | ||||
\(275\) | −9.76466 | − | 12.4892i | −0.588831 | − | 0.753125i | ||||
\(276\) | 5.19754 | + | 2.80241i | 0.312855 | + | 0.168685i | ||||
\(277\) | −22.3713 | + | 22.3713i | −1.34416 | + | 1.34416i | −0.452291 | + | 0.891871i | \(0.649393\pi\) |
−0.891871 | + | 0.452291i | \(0.850607\pi\) | |||||||
\(278\) | −6.12614 | − | 1.33266i | −0.367422 | − | 0.0799277i | ||||
\(279\) | 0.0709566 | + | 0.0102020i | 0.00424806 | + | 0.000610779i | ||||
\(280\) | 0.261368 | − | 2.69694i | 0.0156197 | − | 0.161173i | ||||
\(281\) | 3.03938 | + | 10.3512i | 0.181314 | + | 0.617500i | 0.999118 | + | 0.0420020i | \(0.0133736\pi\) |
−0.817803 | + | 0.575498i | \(0.804808\pi\) | |||||||
\(282\) | −1.28859 | − | 0.480618i | −0.0767342 | − | 0.0286204i | ||||
\(283\) | −9.13376 | − | 0.653259i | −0.542946 | − | 0.0388322i | −0.202827 | − | 0.979215i | \(-0.565013\pi\) |
−0.340119 | + | 0.940382i | \(0.610467\pi\) | |||||||
\(284\) | 7.76072 | − | 1.11582i | 0.460514 | − | 0.0662119i | ||||
\(285\) | 2.46830 | − | 2.70754i | 0.146210 | − | 0.160381i | ||||
\(286\) | 12.3212 | + | 10.6764i | 0.728568 | + | 0.631307i | ||||
\(287\) | −2.05717 | − | 9.45666i | −0.121431 | − | 0.558209i | ||||
\(288\) | 0.315447 | + | 1.45009i | 0.0185879 | + | 0.0854472i | ||||
\(289\) | 2.83430 | + | 2.45593i | 0.166724 | + | 0.144467i | ||||
\(290\) | 0.632325 | − | 0.693612i | 0.0371314 | − | 0.0407303i | ||||
\(291\) | 3.27496 | − | 0.470868i | 0.191981 | − | 0.0276028i | ||||
\(292\) | −11.8992 | − | 0.851046i | −0.696347 | − | 0.0498037i | ||||
\(293\) | −30.0821 | − | 11.2200i | −1.75742 | − | 0.655482i | −0.999997 | − | 0.00255239i | \(-0.999188\pi\) |
−0.757419 | − | 0.652930i | \(-0.773540\pi\) | |||||||
\(294\) | 1.91885 | + | 6.53500i | 0.111909 | + | 0.381129i | ||||
\(295\) | 0.410651 | − | 4.23732i | 0.0239090 | − | 0.246706i | ||||
\(296\) | 6.89450 | + | 0.991280i | 0.400735 | + | 0.0576170i | ||||
\(297\) | 17.1051 | + | 3.72098i | 0.992538 | + | 0.215913i | ||||
\(298\) | −5.28720 | + | 5.28720i | −0.306279 | + | 0.306279i | ||||
\(299\) | 19.8192 | + | 14.6732i | 1.14617 | + | 0.848572i | ||||
\(300\) | −0.748123 | + | 6.11067i | −0.0431929 | + | 0.352800i | ||||
\(301\) | 12.0657 | − | 7.75413i | 0.695453 | − | 0.446941i | ||||
\(302\) | −3.80475 | − | 5.08255i | −0.218939 | − | 0.292468i | ||||
\(303\) | −11.7031 | + | 4.36505i | −0.672328 | + | 0.250765i | ||||
\(304\) | −1.27684 | + | 0.374914i | −0.0732318 | + | 0.0215028i | ||||
\(305\) | 5.01736 | + | 5.27695i | 0.287293 | + | 0.302158i | ||||
\(306\) | 4.08240 | − | 3.53742i | 0.233375 | − | 0.202221i | ||||
\(307\) | 15.0488 | + | 11.2654i | 0.858882 | + | 0.642951i | 0.935195 | − | 0.354133i | \(-0.115224\pi\) |
−0.0763127 | + | 0.997084i | \(0.524315\pi\) | |||||||
\(308\) | 1.84131 | + | 3.37211i | 0.104918 | + | 0.192144i | ||||
\(309\) | −9.07116 | + | 10.4687i | −0.516040 | + | 0.595542i | ||||
\(310\) | −0.0560884 | − | 0.0923118i | −0.00318561 | − | 0.00524296i | ||||
\(311\) | 21.3640 | + | 13.7298i | 1.21144 | + | 0.778548i | 0.980900 | − | 0.194514i | \(-0.0623130\pi\) |
0.230544 | + | 0.973062i | \(0.425949\pi\) | |||||||
\(312\) | −0.451650 | − | 6.31489i | −0.0255697 | − | 0.357510i | ||||
\(313\) | −4.97042 | + | 2.71406i | −0.280945 | + | 0.153407i | −0.613543 | − | 0.789661i | \(-0.710256\pi\) |
0.332599 | + | 0.943069i | \(0.392075\pi\) | |||||||
\(314\) | 3.04163 | + | 21.1550i | 0.171649 | + | 1.19385i | ||||
\(315\) | −1.03523 | − | 3.88546i | −0.0583286 | − | 0.218921i | ||||
\(316\) | −13.5933 | + | 6.20784i | −0.764682 | + | 0.349218i | ||||
\(317\) | 4.16492 | − | 7.62748i | 0.233925 | − | 0.428402i | −0.734177 | − | 0.678958i | \(-0.762432\pi\) |
0.968102 | + | 0.250556i | \(0.0806135\pi\) | |||||||
\(318\) | 4.46216 | + | 11.9635i | 0.250226 | + | 0.670881i | ||||
\(319\) | −0.189403 | + | 1.31733i | −0.0106045 | + | 0.0737561i | ||||
\(320\) | 1.38473 | − | 1.75572i | 0.0774085 | − | 0.0981475i | ||||
\(321\) | 3.71574i | 0.207392i | ||||||||
\(322\) | 3.16774 | + | 4.87212i | 0.176532 | + | 0.271513i | ||||
\(323\) | 3.42517 | + | 3.42517i | 0.190582 | + | 0.190582i | ||||
\(324\) | −1.26820 | − | 1.97336i | −0.0704555 | − | 0.109631i | ||||
\(325\) | −6.72420 | + | 24.8146i | −0.372992 | + | 1.37647i | ||||
\(326\) | −7.88005 | + | 17.2549i | −0.436436 | + | 0.955661i | ||||
\(327\) | 19.3467 | + | 10.5641i | 1.06987 | + | 0.584195i | ||||
\(328\) | 2.79103 | − | 7.48305i | 0.154109 | − | 0.413182i | ||||
\(329\) | −0.886365 | − | 1.02292i | −0.0488669 | − | 0.0563954i | ||||
\(330\) | −3.98909 | − | 7.76464i | −0.219592 | − | 0.427430i | ||||
\(331\) | 26.2869 | + | 7.71854i | 1.44486 | + | 0.424249i | 0.907839 | − | 0.419319i | \(-0.137731\pi\) |
0.537022 | + | 0.843568i | \(0.319549\pi\) | |||||||
\(332\) | 6.19429 | − | 0.443024i | 0.339956 | − | 0.0243141i | ||||
\(333\) | 10.1004 | − | 2.19722i | 0.553501 | − | 0.120407i | ||||
\(334\) | −3.42107 | + | 5.32329i | −0.187193 | + | 0.291278i | ||||
\(335\) | 4.31847 | + | 10.1240i | 0.235943 | + | 0.553136i | ||||
\(336\) | 0.420341 | − | 1.43155i | 0.0229315 | − | 0.0780975i | ||||
\(337\) | 9.75289 | − | 13.0283i | 0.531274 | − | 0.709699i | −0.451962 | − | 0.892037i | \(-0.649276\pi\) |
0.983236 | + | 0.182338i | \(0.0583667\pi\) | |||||||
\(338\) | 0.958746 | − | 13.4050i | 0.0521489 | − | 0.729137i | ||||
\(339\) | 2.01127 | + | 4.40407i | 0.109237 | + | 0.239196i | ||||
\(340\) | −8.02471 | − | 1.36107i | −0.435201 | − | 0.0738144i | ||||
\(341\) | 0.139321 | + | 0.0636259i | 0.00754467 | + | 0.00344554i | ||||
\(342\) | −1.58093 | + | 1.18347i | −0.0854869 | + | 0.0639947i | ||||
\(343\) | −3.22787 | + | 14.8383i | −0.174289 | + | 0.801192i | ||||
\(344\) | 11.8361 | 0.638160 | ||||||||
\(345\) | −6.91594 | − | 11.2476i | −0.372342 | − | 0.605553i | ||||
\(346\) | 21.0364 | 1.13092 | ||||||||
\(347\) | 5.51954 | − | 25.3729i | 0.296304 | − | 1.36209i | −0.552558 | − | 0.833475i | \(-0.686348\pi\) |
0.848862 | − | 0.528615i | \(-0.177288\pi\) | |||||||
\(348\) | 0.413732 | − | 0.309716i | 0.0221784 | − | 0.0166025i | ||||
\(349\) | −7.99964 | − | 3.65331i | −0.428211 | − | 0.195557i | 0.189638 | − | 0.981854i | \(-0.439268\pi\) |
−0.617849 | + | 0.786297i | \(0.711996\pi\) | |||||||
\(350\) | −3.52836 | + | 4.92540i | −0.188599 | + | 0.263274i | ||||
\(351\) | −11.7929 | − | 25.8229i | −0.629460 | − | 1.37833i | ||||
\(352\) | −0.226193 | + | 3.16259i | −0.0120561 | + | 0.168566i | ||||
\(353\) | −3.54542 | + | 4.73613i | −0.188704 | + | 0.252079i | −0.884909 | − | 0.465764i | \(-0.845780\pi\) |
0.696205 | + | 0.717843i | \(0.254870\pi\) | |||||||
\(354\) | 0.660423 | − | 2.24920i | 0.0351011 | − | 0.119543i | ||||
\(355\) | −16.2669 | − | 6.53893i | −0.863356 | − | 0.347051i | ||||
\(356\) | −0.990084 | + | 1.54060i | −0.0524743 | + | 0.0816517i | ||||
\(357\) | −5.30674 | + | 1.15441i | −0.280862 | + | 0.0610979i | ||||
\(358\) | 14.5311 | − | 1.03929i | 0.767993 | − | 0.0549279i | ||||
\(359\) | 12.6602 | + | 3.71736i | 0.668178 | + | 0.196195i | 0.598191 | − | 0.801353i | \(-0.295886\pi\) |
0.0699863 | + | 0.997548i | \(0.477704\pi\) | |||||||
\(360\) | 1.01485 | − | 3.15933i | 0.0534871 | − | 0.166512i | ||||
\(361\) | 11.2827 | + | 13.0209i | 0.593825 | + | 0.685311i | ||||
\(362\) | −8.31596 | + | 22.2959i | −0.437077 | + | 1.17185i | ||||
\(363\) | −1.02325 | − | 0.558737i | −0.0537067 | − | 0.0293261i | ||||
\(364\) | 2.58835 | − | 5.66769i | 0.135666 | − | 0.297068i | ||||
\(365\) | 22.0700 | + | 14.9829i | 1.15520 | + | 0.784241i | ||||
\(366\) | 2.16767 | + | 3.37297i | 0.113306 | + | 0.176308i | ||||
\(367\) | −19.3819 | − | 19.3819i | −1.01173 | − | 1.01173i | −0.999930 | − | 0.0117981i | \(-0.996244\pi\) |
−0.0117981 | − | 0.999930i | \(-0.503756\pi\) | |||||||
\(368\) | 0.0254238 | + | 4.79576i | 0.00132530 | + | 0.249996i | ||||
\(369\) | − | 11.8521i | − | 0.616998i | ||||||
\(370\) | −12.2293 | − | 9.64516i | −0.635769 | − | 0.501428i | ||||
\(371\) | −1.78838 | + | 12.4384i | −0.0928479 | + | 0.645772i | ||||
\(372\) | −0.0207852 | − | 0.0557272i | −0.00107766 | − | 0.00288932i | ||||
\(373\) | −12.8328 | + | 23.5016i | −0.664459 | + | 1.21687i | 0.300329 | + | 0.953836i | \(0.402904\pi\) |
−0.964788 | + | 0.263030i | \(0.915278\pi\) | |||||||
\(374\) | 10.4983 | − | 4.79441i | 0.542854 | − | 0.247913i | ||||
\(375\) | 8.29618 | − | 10.9851i | 0.428413 | − | 0.567270i | ||||
\(376\) | −0.158964 | − | 1.10562i | −0.00819793 | − | 0.0570179i | ||||
\(377\) | 1.89429 | − | 1.03436i | 0.0975609 | − | 0.0532723i | ||||
\(378\) | −0.477264 | − | 6.67303i | −0.0245478 | − | 0.343224i | ||||
\(379\) | −14.4150 | − | 9.26396i | −0.740449 | − | 0.475858i | 0.115247 | − | 0.993337i | \(-0.463234\pi\) |
−0.855696 | + | 0.517479i | \(0.826870\pi\) | |||||||
\(380\) | 2.89076 | + | 0.705614i | 0.148293 | + | 0.0361972i | ||||
\(381\) | −10.4808 | + | 12.0955i | −0.536948 | + | 0.619671i | ||||
\(382\) | 8.64325 | + | 15.8289i | 0.442227 | + | 0.809879i | ||||
\(383\) | −6.31451 | − | 4.72698i | −0.322656 | − | 0.241538i | 0.425654 | − | 0.904886i | \(-0.360044\pi\) |
−0.748311 | + | 0.663348i | \(0.769135\pi\) | |||||||
\(384\) | 0.930523 | − | 0.806303i | 0.0474856 | − | 0.0411465i | ||||
\(385\) | 0.216573 | − | 8.58842i | 0.0110376 | − | 0.437706i | ||||
\(386\) | 0.565739 | − | 0.166116i | 0.0287954 | − | 0.00845508i | ||||
\(387\) | 16.4573 | − | 6.13827i | 0.836573 | − | 0.312026i | ||||
\(388\) | 1.61038 | + | 2.15121i | 0.0817545 | + | 0.109211i | ||||
\(389\) | 13.5196 | − | 8.68853i | 0.685472 | − | 0.440526i | −0.151001 | − | 0.988534i | \(-0.548250\pi\) |
0.836473 | + | 0.548007i | \(0.184613\pi\) | |||||||
\(390\) | −6.20362 | + | 12.7250i | −0.314132 | + | 0.644353i | ||||
\(391\) | 15.2770 | − | 8.44730i | 0.772590 | − | 0.427198i | ||||
\(392\) | −3.91146 | + | 3.91146i | −0.197559 | + | 0.197559i | ||||
\(393\) | −14.4797 | − | 3.14987i | −0.730406 | − | 0.158890i | ||||
\(394\) | −21.2481 | − | 3.05502i | −1.07047 | − | 0.153910i | ||||
\(395\) | 33.2593 | + | 3.22326i | 1.67346 | + | 0.162180i | ||||
\(396\) | 1.32563 | + | 4.51468i | 0.0666153 | + | 0.226871i | ||||
\(397\) | −14.6989 | − | 5.48239i | −0.737715 | − | 0.275153i | −0.0476130 | − | 0.998866i | \(-0.515161\pi\) |
−0.690102 | + | 0.723713i | \(0.742434\pi\) | |||||||
\(398\) | 20.6400 | + | 1.47620i | 1.03459 | + | 0.0739953i | ||||
\(399\) | 1.96524 | − | 0.282560i | 0.0983853 | − | 0.0141457i | ||||
\(400\) | −4.64707 | + | 1.84520i | −0.232353 | + | 0.0922600i | ||||
\(401\) | −7.31309 | − | 6.33683i | −0.365198 | − | 0.316446i | 0.452860 | − | 0.891582i | \(-0.350404\pi\) |
−0.818058 | + | 0.575136i | \(0.804949\pi\) | |||||||
\(402\) | 1.28828 | + | 5.92213i | 0.0642536 | + | 0.295369i | ||||
\(403\) | −0.0527981 | − | 0.242709i | −0.00263006 | − | 0.0120902i | ||||
\(404\) | −7.66681 | − | 6.64333i | −0.381438 | − | 0.330518i | ||||
\(405\) | 0.242182 | + | 5.23963i | 0.0120341 | + | 0.260359i | ||||
\(406\) | 0.503453 | − | 0.0723856i | 0.0249860 | − | 0.00359244i | ||||
\(407\) | 22.0287 | + | 1.57552i | 1.09192 | + | 0.0780957i | ||||
\(408\) | −4.19922 | − | 1.56623i | −0.207892 | − | 0.0775398i | ||||
\(409\) | −2.00025 | − | 6.81224i | −0.0989062 | − | 0.336844i | 0.895143 | − | 0.445780i | \(-0.147074\pi\) |
−0.994049 | + | 0.108937i | \(0.965255\pi\) | |||||||
\(410\) | −13.7872 | + | 11.3509i | −0.680899 | + | 0.560583i | ||||
\(411\) | −12.3386 | − | 1.77402i | −0.608619 | − | 0.0875062i | ||||
\(412\) | −10.9932 | − | 2.39142i | −0.541596 | − | 0.117817i | ||||
\(413\) | 1.63131 | − | 1.63131i | 0.0802716 | − | 0.0802716i | ||||
\(414\) | 2.52246 | + | 6.65501i | 0.123972 | + | 0.327076i | ||||
\(415\) | −12.4819 | − | 6.08514i | −0.612714 | − | 0.298708i | ||||
\(416\) | 4.32565 | − | 2.77993i | 0.212083 | − | 0.136297i | ||||
\(417\) | 4.62599 | + | 6.17960i | 0.226536 | + | 0.302616i | ||||
\(418\) | −3.95331 | + | 1.47451i | −0.193363 | + | 0.0721206i | ||||
\(419\) | −3.58100 | + | 1.05148i | −0.174943 | + | 0.0513680i | −0.368031 | − | 0.929814i | \(-0.619968\pi\) |
0.193088 | + | 0.981181i | \(0.438150\pi\) | |||||||
\(420\) | −2.41776 | + | 2.29882i | −0.117975 | + | 0.112171i | ||||
\(421\) | 8.27799 | − | 7.17292i | 0.403445 | − | 0.349587i | −0.429380 | − | 0.903124i | \(-0.641268\pi\) |
0.832824 | + | 0.553537i | \(0.186722\pi\) | |||||||
\(422\) | −20.5329 | − | 15.3707i | −0.999524 | − | 0.748235i | ||||
\(423\) | −0.794408 | − | 1.45485i | −0.0386254 | − | 0.0707372i | ||||
\(424\) | −6.79113 | + | 7.83738i | −0.329807 | + | 0.380617i | ||||
\(425\) | 14.0017 | + | 11.6274i | 0.679180 | + | 0.564010i | ||||
\(426\) | −8.12122 | − | 5.21919i | −0.393474 | − | 0.252871i | ||||
\(427\) | 0.281501 | + | 3.93589i | 0.0136228 | + | 0.190471i | ||||
\(428\) | −2.64869 | + | 1.44629i | −0.128029 | + | 0.0699093i | ||||
\(429\) | −2.85676 | − | 19.8692i | −0.137926 | − | 0.959296i | ||||
\(430\) | −22.9018 | − | 13.2655i | −1.10442 | − | 0.639719i | ||||
\(431\) | −5.78004 | + | 2.63966i | −0.278415 | + | 0.127148i | −0.549729 | − | 0.835343i | \(-0.685269\pi\) |
0.271314 | + | 0.962491i | \(0.412542\pi\) | |||||||
\(432\) | 2.64592 | − | 4.84564i | 0.127302 | − | 0.233136i | ||||
\(433\) | 3.96952 | + | 10.6427i | 0.190763 | + | 0.511455i | 0.996757 | − | 0.0804685i | \(-0.0256416\pi\) |
−0.805994 | + | 0.591923i | \(0.798369\pi\) | |||||||
\(434\) | 0.00833043 | − | 0.0579394i | 0.000399873 | − | 0.00278118i | ||||
\(435\) | −1.14765 | + | 0.135576i | −0.0550258 | + | 0.00650038i | ||||
\(436\) | 17.9028i | 0.857389i | ||||||||
\(437\) | −5.79116 | + | 2.68193i | −0.277029 | + | 0.128294i | ||||
\(438\) | 10.3863 | + | 10.3863i | 0.496275 | + | 0.496275i | ||||
\(439\) | 6.15393 | + | 9.57570i | 0.293711 | + | 0.457023i | 0.956479 | − | 0.291802i | \(-0.0942547\pi\) |
−0.662768 | + | 0.748825i | \(0.730618\pi\) | |||||||
\(440\) | 3.98218 | − | 5.86582i | 0.189843 | − | 0.279642i | ||||
\(441\) | −3.41013 | + | 7.46714i | −0.162387 | + | 0.355578i | ||||
\(442\) | −16.4272 | − | 8.96992i | −0.781361 | − | 0.426656i | ||||
\(443\) | 7.39932 | − | 19.8383i | 0.351552 | − | 0.942548i | −0.634024 | − | 0.773314i | \(-0.718598\pi\) |
0.985576 | − | 0.169234i | \(-0.0541294\pi\) | |||||||
\(444\) | −5.61622 | − | 6.48147i | −0.266534 | − | 0.307597i | ||||
\(445\) | 3.64238 | − | 1.87127i | 0.172665 | − | 0.0887069i | ||||
\(446\) | −7.43735 | − | 2.18380i | −0.352169 | − | 0.103406i | ||||
\(447\) | 9.18295 | − | 0.656778i | 0.434339 | − | 0.0310645i | ||||
\(448\) | 1.18407 | − | 0.257578i | 0.0559418 | − | 0.0121694i | ||||
\(449\) | 16.3926 | − | 25.5074i | 0.773616 | − | 1.20377i | −0.200935 | − | 0.979605i | \(-0.564398\pi\) |
0.974551 | − | 0.224165i | \(-0.0719655\pi\) | |||||||
\(450\) | −5.50451 | + | 4.97563i | −0.259485 | + | 0.234553i | ||||
\(451\) | 7.13427 | − | 24.2971i | 0.335940 | − | 1.14411i | ||||
\(452\) | −2.35650 | + | 3.14792i | −0.110840 | + | 0.148066i | ||||
\(453\) | −0.557668 | + | 7.79722i | −0.0262015 | + | 0.366345i | ||||
\(454\) | −1.24941 | − | 2.73582i | −0.0586376 | − | 0.128399i | ||||
\(455\) | −11.3604 | + | 8.06555i | −0.532583 | + | 0.378119i | ||||
\(456\) | 1.49042 | + | 0.680654i | 0.0697955 | + | 0.0318745i | ||||
\(457\) | −3.37593 | + | 2.52719i | −0.157919 | + | 0.118217i | −0.675315 | − | 0.737529i | \(-0.735992\pi\) |
0.517396 | + | 0.855746i | \(0.326901\pi\) | |||||||
\(458\) | 1.87542 | − | 8.62118i | 0.0876327 | − | 0.402841i | ||||
\(459\) | −20.0964 | −0.938019 | ||||||||
\(460\) | 5.32574 | − | 9.30787i | 0.248314 | − | 0.433982i | ||||
\(461\) | −34.8411 | −1.62271 | −0.811355 | − | 0.584554i | \(-0.801269\pi\) | ||||
−0.811355 | + | 0.584554i | \(0.801269\pi\) | |||||||
\(462\) | 1.00556 | − | 4.62248i | 0.0467829 | − | 0.215057i | ||||
\(463\) | 26.5222 | − | 19.8543i | 1.23259 | − | 0.922706i | 0.233820 | − | 0.972280i | \(-0.424877\pi\) |
0.998770 | + | 0.0495744i | \(0.0157865\pi\) | |||||||
\(464\) | 0.381814 | + | 0.174369i | 0.0177253 | + | 0.00809486i | ||||
\(465\) | −0.0222397 | + | 0.131123i | −0.00103134 | + | 0.00608066i | ||||
\(466\) | 3.27799 | + | 7.17780i | 0.151850 | + | 0.332505i | ||||
\(467\) | −1.67331 | + | 23.3960i | −0.0774317 | + | 1.08264i | 0.799070 | + | 0.601238i | \(0.205326\pi\) |
−0.876502 | + | 0.481399i | \(0.840129\pi\) | |||||||
\(468\) | 4.57285 | − | 6.10861i | 0.211380 | − | 0.282371i | ||||
\(469\) | −1.68043 | + | 5.72303i | −0.0775952 | + | 0.264265i | ||||
\(470\) | −0.931558 | + | 2.31743i | −0.0429696 | + | 0.106895i | ||||
\(471\) | 14.2270 | − | 22.1377i | 0.655548 | − | 1.02005i | ||||
\(472\) | 1.86036 | − | 0.404696i | 0.0856298 | − | 0.0186276i | ||||
\(473\) | 37.4327 | − | 2.67724i | 1.72116 | − | 0.123100i | ||||
\(474\) | 17.6543 | + | 5.18376i | 0.810887 | + | 0.238098i | ||||
\(475\) | −4.80254 | − | 4.60517i | −0.220356 | − | 0.211300i | ||||
\(476\) | −2.88847 | − | 3.33347i | −0.132393 | − | 0.152789i | ||||
\(477\) | −5.37812 | + | 14.4193i | −0.246247 | + | 0.660214i | ||||
\(478\) | 5.32026 | + | 2.90508i | 0.243343 | + | 0.132875i | ||||
\(479\) | 3.27451 | − | 7.17018i | 0.149616 | − | 0.327614i | −0.819953 | − | 0.572431i | \(-0.806001\pi\) |
0.969569 | + | 0.244817i | \(0.0787278\pi\) | |||||||
\(480\) | −2.70416 | + | 0.517226i | −0.123427 | + | 0.0236080i | ||||
\(481\) | −19.3633 | − | 30.1299i | −0.882891 | − | 1.37380i | ||||
\(482\) | −0.789068 | − | 0.789068i | −0.0359411 | − | 0.0359411i | ||||
\(483\) | 0.980748 | − | 7.08779i | 0.0446256 | − | 0.322506i | ||||
\(484\) | − | 0.946884i | − | 0.0430402i | ||||||
\(485\) | −0.704931 | − | 5.96726i | −0.0320093 | − | 0.270959i | ||||
\(486\) | 1.94611 | − | 13.5355i | 0.0882774 | − | 0.613983i | ||||
\(487\) | −4.88996 | − | 13.1105i | −0.221585 | − | 0.594093i | 0.777823 | − | 0.628483i | \(-0.216324\pi\) |
−0.999408 | + | 0.0343902i | \(0.989051\pi\) | |||||||
\(488\) | −1.56062 | + | 2.85806i | −0.0706459 | + | 0.129378i | ||||
\(489\) | 21.2453 | − | 9.70238i | 0.960744 | − | 0.438757i | ||||
\(490\) | 11.9522 | − | 3.18450i | 0.539944 | − | 0.143861i | ||||
\(491\) | 3.99479 | + | 27.7843i | 0.180282 | + | 1.25389i | 0.856096 | + | 0.516817i | \(0.172883\pi\) |
−0.675813 | + | 0.737073i | \(0.736208\pi\) | |||||||
\(492\) | −8.63073 | + | 4.71273i | −0.389103 | + | 0.212466i | ||||
\(493\) | −0.108998 | − | 1.52399i | −0.00490901 | − | 0.0686369i | ||||
\(494\) | 5.75634 | + | 3.69937i | 0.258990 | + | 0.166443i | ||||
\(495\) | 2.49492 | − | 10.2212i | 0.112138 | − | 0.459410i | ||||
\(496\) | 0.0316337 | − | 0.0365073i | 0.00142040 | − | 0.00163923i | ||||
\(497\) | −4.55326 | − | 8.33867i | −0.204241 | − | 0.374040i | ||||
\(498\) | −6.12114 | − | 4.58223i | −0.274295 | − | 0.205335i | ||||
\(499\) | −30.1269 | + | 26.1051i | −1.34867 | + | 1.16863i | −0.378664 | + | 0.925534i | \(0.623616\pi\) |
−0.970003 | + | 0.243092i | \(0.921838\pi\) | |||||||
\(500\) | 11.0597 | + | 1.63798i | 0.494605 | + | 0.0732525i | ||||
\(501\) | 7.47557 | − | 2.19503i | 0.333984 | − | 0.0980665i | ||||
\(502\) | −25.7483 | + | 9.60360i | −1.14920 | + | 0.428630i | ||||
\(503\) | −1.93772 | − | 2.58849i | −0.0863985 | − | 0.115415i | 0.755259 | − | 0.655426i | \(-0.227511\pi\) |
−0.841658 | + | 0.540011i | \(0.818420\pi\) | |||||||
\(504\) | 1.51278 | − | 0.972208i | 0.0673848 | − | 0.0433056i | ||||
\(505\) | 7.38898 | + | 21.4470i | 0.328805 | + | 0.954377i | ||||
\(506\) | 1.16517 | + | 15.1613i | 0.0517982 | + | 0.674001i | ||||
\(507\) | −11.7006 | + | 11.7006i | −0.519644 | + | 0.519644i | ||||
\(508\) | −12.7015 | − | 2.76305i | −0.563539 | − | 0.122590i | ||||
\(509\) | −36.6949 | − | 5.27593i | −1.62647 | − | 0.233851i | −0.732107 | − | 0.681190i | \(-0.761463\pi\) |
−0.894365 | + | 0.447338i | \(0.852372\pi\) | |||||||
\(510\) | 6.36974 | + | 7.73685i | 0.282057 | + | 0.342594i | ||||
\(511\) | 4.07266 | + | 13.8702i | 0.180164 | + | 0.613581i | ||||
\(512\) | 0.936950 | + | 0.349464i | 0.0414077 | + | 0.0154443i | ||||
\(513\) | 7.32828 | + | 0.524129i | 0.323551 | + | 0.0231408i | ||||
\(514\) | −0.967811 | + | 0.139150i | −0.0426883 | + | 0.00613766i | ||||
\(515\) | 18.5906 | + | 16.9480i | 0.819202 | + | 0.746818i | ||||
\(516\) | −11.0138 | − | 9.54348i | −0.484854 | − | 0.420128i | ||||
\(517\) | −0.752819 | − | 3.46065i | −0.0331090 | − | 0.152199i | ||||
\(518\) | −1.79413 | − | 8.24749i | −0.0788296 | − | 0.362374i | ||||
\(519\) | −19.5748 | − | 16.9617i | −0.859239 | − | 0.744535i | ||||
\(520\) | −11.4854 | + | 0.530869i | −0.503668 | + | 0.0232802i | ||||
\(521\) | −18.2694 | + | 2.62675i | −0.800398 | + | 0.115080i | −0.530363 | − | 0.847771i | \(-0.677944\pi\) |
−0.270035 | + | 0.962851i | \(0.587035\pi\) | |||||||
\(522\) | 0.621316 | + | 0.0444374i | 0.0271943 | + | 0.00194497i | ||||
\(523\) | 28.2794 | + | 10.5477i | 1.23657 | + | 0.461217i | 0.880859 | − | 0.473379i | \(-0.156966\pi\) |
0.355712 | + | 0.934596i | \(0.384239\pi\) | |||||||
\(524\) | −3.39069 | − | 11.5476i | −0.148123 | − | 0.504461i | ||||
\(525\) | 7.25459 | − | 1.73827i | 0.316616 | − | 0.0758645i | ||||
\(526\) | −6.73556 | − | 0.968428i | −0.293685 | − | 0.0422255i | ||||
\(527\) | −0.171816 | − | 0.0373763i | −0.00748443 | − | 0.00162814i | ||||
\(528\) | 2.76048 | − | 2.76048i | 0.120135 | − | 0.120135i | ||||
\(529\) | 3.51443 | + | 22.7299i | 0.152801 | + | 0.988257i | ||||
\(530\) | 21.9241 | − | 7.55337i | 0.952323 | − | 0.328098i | ||||
\(531\) | 2.37683 | − | 1.52749i | 0.103145 | − | 0.0662876i | ||||
\(532\) | 0.966359 | + | 1.29090i | 0.0418970 | + | 0.0559678i | ||||
\(533\) | −38.4772 | + | 14.3512i | −1.66663 | + | 0.621621i | ||||
\(534\) | 2.16349 | − | 0.635257i | 0.0936233 | − | 0.0274903i | ||||
\(535\) | 6.74594 | + | 0.170111i | 0.291652 | + | 0.00735455i | ||||
\(536\) | −3.72003 | + | 3.22343i | −0.160681 | + | 0.139231i | ||||
\(537\) | −14.3595 | − | 10.7494i | −0.619659 | − | 0.463871i | ||||
\(538\) | 7.15211 | + | 13.0981i | 0.308349 | + | 0.564699i | ||||
\(539\) | −11.4856 | + | 13.2551i | −0.494720 | + | 0.570937i | ||||
\(540\) | −10.5504 | + | 6.41042i | −0.454019 | + | 0.275861i | ||||
\(541\) | −23.9270 | − | 15.3769i | −1.02870 | − | 0.661106i | −0.0865334 | − | 0.996249i | \(-0.527579\pi\) |
−0.942167 | + | 0.335143i | \(0.891215\pi\) | |||||||
\(542\) | −0.00550910 | − | 0.0770272i | −0.000236636 | − | 0.00330860i | ||||
\(543\) | 25.7155 | − | 14.0417i | 1.10356 | − | 0.602588i | ||||
\(544\) | −0.518028 | − | 3.60296i | −0.0222103 | − | 0.154476i | ||||
\(545\) | 20.0649 | − | 34.6404i | 0.859485 | − | 1.48383i | ||||
\(546\) | −6.97839 | + | 3.18693i | −0.298648 | + | 0.136388i | ||||
\(547\) | 13.5791 | − | 24.8682i | 0.580599 | − | 1.06329i | −0.408038 | − | 0.912965i | \(-0.633787\pi\) |
0.988637 | − | 0.150323i | \(-0.0480314\pi\) | |||||||
\(548\) | −3.53804 | − | 9.48585i | −0.151138 | − | 0.405215i | ||||
\(549\) | −0.687734 | + | 4.78329i | −0.0293518 | + | 0.204146i | ||||
\(550\) | −14.2794 | + | 6.88674i | −0.608875 | + | 0.293652i | ||||
\(551\) | 0.558574i | 0.0237961i | ||||||||
\(552\) | 3.84318 | − | 4.48307i | 0.163577 | − | 0.190812i | ||||
\(553\) | 12.8044 | + | 12.8044i | 0.544499 | + | 0.544499i | ||||
\(554\) | 17.1047 | + | 26.6154i | 0.726708 | + | 1.13078i | ||||
\(555\) | 3.60269 | + | 18.8355i | 0.152925 | + | 0.799524i | ||||
\(556\) | −2.60441 | + | 5.70286i | −0.110452 | + | 0.241855i | ||||
\(557\) | −6.33715 | − | 3.46034i | −0.268513 | − | 0.146619i | 0.339352 | − | 0.940659i | \(-0.389792\pi\) |
−0.607866 | + | 0.794040i | \(0.707974\pi\) | |||||||
\(558\) | 0.0250518 | − | 0.0671664i | 0.00106053 | − | 0.00284338i | ||||
\(559\) | −39.8549 | − | 45.9951i | −1.68568 | − | 1.94538i | ||||
\(560\) | −2.57975 | − | 0.828670i | −0.109014 | − | 0.0350177i | ||||
\(561\) | −13.6347 | − | 4.00350i | −0.575656 | − | 0.169028i | ||||
\(562\) | 10.7607 | − | 0.769620i | 0.453913 | − | 0.0324645i | ||||
\(563\) | 18.7637 | − | 4.08178i | 0.790794 | − | 0.172027i | 0.201011 | − | 0.979589i | \(-0.435577\pi\) |
0.589782 | + | 0.807562i | \(0.299214\pi\) | |||||||
\(564\) | −0.743543 | + | 1.15698i | −0.0313088 | + | 0.0487175i | ||||
\(565\) | 8.08770 | − | 3.44985i | 0.340252 | − | 0.145136i | ||||
\(566\) | −2.57985 | + | 8.78616i | −0.108439 | + | 0.369310i | ||||
\(567\) | −1.70342 | + | 2.27551i | −0.0715371 | + | 0.0955623i | ||||
\(568\) | 0.559337 | − | 7.82055i | 0.0234692 | − | 0.328143i | ||||
\(569\) | −16.3752 | − | 35.8566i | −0.686483 | − | 1.50319i | −0.855625 | − | 0.517597i | \(-0.826827\pi\) |
0.169142 | − | 0.985592i | \(-0.445900\pi\) | |||||||
\(570\) | −2.12098 | − | 2.98742i | −0.0888383 | − | 0.125129i | ||||
\(571\) | −22.8911 | − | 10.4540i | −0.957962 | − | 0.437487i | −0.125822 | − | 0.992053i | \(-0.540157\pi\) |
−0.832140 | + | 0.554566i | \(0.812884\pi\) | |||||||
\(572\) | 13.0514 | − | 9.77019i | 0.545708 | − | 0.408512i | ||||
\(573\) | 4.72017 | − | 21.6983i | 0.197188 | − | 0.906458i | ||||
\(574\) | −9.67783 | −0.403945 | ||||||||
\(575\) | −20.7368 | + | 12.0410i | −0.864784 | + | 0.502145i | ||||
\(576\) | 1.48400 | 0.0618334 | ||||||||
\(577\) | −4.71276 | + | 21.6642i | −0.196195 | + | 0.901894i | 0.768772 | + | 0.639523i | \(0.220868\pi\) |
−0.964967 | + | 0.262371i | \(0.915496\pi\) | |||||||
\(578\) | 3.00228 | − | 2.24748i | 0.124879 | − | 0.0934829i | ||||
\(579\) | −0.660373 | − | 0.301582i | −0.0274442 | − | 0.0125333i | ||||
\(580\) | −0.543350 | − | 0.765313i | −0.0225614 | − | 0.0317779i | ||||
\(581\) | −3.12606 | − | 6.84512i | −0.129691 | − | 0.283983i | ||||
\(582\) | 0.236035 | − | 3.30020i | 0.00978398 | − | 0.136798i | ||||
\(583\) | −19.7048 | + | 26.3225i | −0.816089 | + | 1.09017i | ||||
\(584\) | −3.36095 | + | 11.4463i | −0.139077 | + | 0.473653i | ||||
\(585\) | −15.6944 | + | 6.69453i | −0.648883 | + | 0.276785i | ||||
\(586\) | −17.3580 | + | 27.0096i | −0.717054 | + | 1.11576i | ||||
\(587\) | 33.3220 | − | 7.24877i | 1.37535 | − | 0.299189i | 0.536659 | − | 0.843799i | \(-0.319686\pi\) |
0.838689 | + | 0.544611i | \(0.183323\pi\) | |||||||
\(588\) | 6.79353 | − | 0.485883i | 0.280161 | − | 0.0200375i | ||||
\(589\) | 0.0616791 | + | 0.0181106i | 0.00254144 | + | 0.000746235i | ||||
\(590\) | −4.05319 | − | 1.30197i | −0.166867 | − | 0.0536014i | ||||
\(591\) | 17.3086 | + | 19.9752i | 0.711981 | + | 0.821670i | ||||
\(592\) | 2.43416 | − | 6.52623i | 0.100043 | − | 0.268226i | ||||
\(593\) | −0.634590 | − | 0.346512i | −0.0260595 | − | 0.0142296i | 0.466166 | − | 0.884697i | \(-0.345635\pi\) |
−0.492226 | + | 0.870467i | \(0.663817\pi\) | |||||||
\(594\) | 7.27190 | − | 15.9232i | 0.298370 | − | 0.653338i | ||||
\(595\) | 1.85289 | + | 9.68727i | 0.0759611 | + | 0.397139i | ||||
\(596\) | 4.04250 | + | 6.29025i | 0.165587 | + | 0.257659i | ||||
\(597\) | −18.0157 | − | 18.0157i | −0.737335 | − | 0.737335i | ||||
\(598\) | 18.5507 | − | 16.2473i | 0.758595 | − | 0.664400i | ||||
\(599\) | 32.4930i | 1.32763i | 0.747898 | + | 0.663814i | \(0.231063\pi\) | ||||
−0.747898 | + | 0.663814i | \(0.768937\pi\) | |||||||
\(600\) | 5.81200 | + | 2.02994i | 0.237274 | + | 0.0828721i | ||||
\(601\) | −5.78227 | + | 40.2166i | −0.235864 | + | 1.64047i | 0.436111 | + | 0.899893i | \(0.356356\pi\) |
−0.671974 | + | 0.740574i | \(0.734553\pi\) | |||||||
\(602\) | −5.01218 | − | 13.4382i | −0.204281 | − | 0.547700i | ||||
\(603\) | −3.50078 | + | 6.41119i | −0.142563 | + | 0.261084i | ||||
\(604\) | −5.77516 | + | 2.63743i | −0.234988 | + | 0.107315i | ||||
\(605\) | −1.06124 | + | 1.83214i | −0.0431454 | + | 0.0744870i | ||||
\(606\) | 1.77761 | + | 12.3635i | 0.0722104 | + | 0.502235i | ||||
\(607\) | −19.0862 | + | 10.4219i | −0.774685 | + | 0.423010i | −0.817395 | − | 0.576077i | \(-0.804583\pi\) |
0.0427098 | + | 0.999088i | \(0.486401\pi\) | |||||||
\(608\) | 0.0949342 | + | 1.32735i | 0.00385009 | + | 0.0538313i | ||||
\(609\) | −0.526840 | − | 0.338579i | −0.0213486 | − | 0.0137199i | ||||
\(610\) | 6.22288 | − | 3.78100i | 0.251957 | − | 0.153088i | ||||
\(611\) | −3.76116 | + | 4.34061i | −0.152160 | + | 0.175602i | ||||
\(612\) | −2.58880 | − | 4.74103i | −0.104646 | − | 0.191645i | ||||
\(613\) | −2.23712 | − | 1.67469i | −0.0903563 | − | 0.0676399i | 0.553144 | − | 0.833085i | \(-0.313428\pi\) |
−0.643501 | + | 0.765445i | \(0.722519\pi\) | |||||||
\(614\) | 14.2068 | − | 12.3103i | 0.573341 | − | 0.496803i | ||||
\(615\) | 21.9816 | + | 0.554305i | 0.886382 | + | 0.0223517i | ||||
\(616\) | 3.68645 | − | 1.08244i | 0.148531 | − | 0.0436127i | ||||
\(617\) | 3.91125 | − | 1.45882i | 0.157461 | − | 0.0587300i | −0.269498 | − | 0.963001i | \(-0.586858\pi\) |
0.426959 | + | 0.904271i | \(0.359585\pi\) | |||||||
\(618\) | 8.30122 | + | 11.0891i | 0.333924 | + | 0.446070i | ||||
\(619\) | −1.24522 | + | 0.800257i | −0.0500498 | + | 0.0321650i | −0.565426 | − | 0.824799i | \(-0.691288\pi\) |
0.515377 | + | 0.856964i | \(0.327652\pi\) | |||||||
\(620\) | −0.102125 | + | 0.0351843i | −0.00410142 | + | 0.00141304i | ||||
\(621\) | 9.12134 | − | 24.8569i | 0.366027 | − | 0.997473i | ||||
\(622\) | 17.9573 | − | 17.9573i | 0.720023 | − | 0.720023i | ||||
\(623\) | 2.16840 | + | 0.471706i | 0.0868750 | + | 0.0188985i | ||||
\(624\) | −6.26658 | − | 0.900999i | −0.250864 | − | 0.0360688i | ||||
\(625\) | −19.5638 | − | 15.5647i | −0.782550 | − | 0.622587i | ||||
\(626\) | 1.59549 | + | 5.43375i | 0.0637687 | + | 0.217176i | ||||
\(627\) | 4.86755 | + | 1.81550i | 0.194391 | + | 0.0725042i | ||||
\(628\) | 21.3181 | + | 1.52470i | 0.850685 | + | 0.0608422i | ||||
\(629\) | −25.0961 | + | 3.60827i | −1.00065 | + | 0.143871i | ||||
\(630\) | −4.01672 | + | 0.185658i | −0.160030 | + | 0.00739678i | ||||
\(631\) | 8.73039 | + | 7.56493i | 0.347551 | + | 0.301155i | 0.811090 | − | 0.584922i | \(-0.198875\pi\) |
−0.463538 | + | 0.886077i | \(0.653420\pi\) | |||||||
\(632\) | 3.17652 | + | 14.6022i | 0.126355 | + | 0.580844i | ||||
\(633\) | 6.71286 | + | 30.8585i | 0.266812 | + | 1.22652i | ||||
\(634\) | −6.56785 | − | 5.69108i | −0.260843 | − | 0.226021i | ||||
\(635\) | 21.4796 | + | 19.5817i | 0.852392 | + | 0.777076i | ||||
\(636\) | 12.6386 | − | 1.81716i | 0.501154 | − | 0.0720550i | ||||
\(637\) | 28.3708 | + | 2.02912i | 1.12409 | + | 0.0803965i | ||||
\(638\) | 1.24696 | + | 0.465093i | 0.0493677 | + | 0.0184132i | ||||
\(639\) | −3.27806 | − | 11.1640i | −0.129678 | − | 0.441642i | ||||
\(640\) | −1.42125 | − | 1.72628i | −0.0561797 | − | 0.0682374i | ||||
\(641\) | −4.22893 | − | 0.608028i | −0.167033 | − | 0.0240157i | 0.0582911 | − | 0.998300i | \(-0.481435\pi\) |
−0.225324 | + | 0.974284i | \(0.572344\pi\) | |||||||
\(642\) | 3.63082 | + | 0.789837i | 0.143297 | + | 0.0311724i | ||||
\(643\) | −7.60531 | + | 7.60531i | −0.299924 | + | 0.299924i | −0.840984 | − | 0.541060i | \(-0.818023\pi\) |
0.541060 | + | 0.840984i | \(0.318023\pi\) | |||||||
\(644\) | 5.43413 | − | 2.05971i | 0.214135 | − | 0.0811638i | ||||
\(645\) | 10.6147 | + | 30.8097i | 0.417951 | + | 1.21313i | ||||
\(646\) | 4.07497 | − | 2.61882i | 0.160327 | − | 0.103036i | ||||
\(647\) | −26.5562 | − | 35.4749i | −1.04403 | − | 1.39466i | −0.915201 | − | 0.402998i | \(-0.867968\pi\) |
−0.128832 | − | 0.991666i | \(-0.541123\pi\) | |||||||
\(648\) | −2.19784 | + | 0.819750i | −0.0863391 | + | 0.0322028i | ||||
\(649\) | 5.79199 | − | 1.70068i | 0.227356 | − | 0.0667577i | ||||
\(650\) | 22.8182 | + | 11.8453i | 0.895004 | + | 0.464610i | ||||
\(651\) | −0.0544684 | + | 0.0471971i | −0.00213478 | + | 0.00184980i | ||||
\(652\) | 15.1856 | + | 11.3678i | 0.594712 | + | 0.445196i | ||||
\(653\) | −12.5687 | − | 23.0179i | −0.491853 | − | 0.900761i | −0.999238 | − | 0.0390414i | \(-0.987570\pi\) |
0.507385 | − | 0.861720i | \(-0.330612\pi\) | |||||||
\(654\) | 14.4351 | − | 16.6590i | 0.564457 | − | 0.651418i | ||||
\(655\) | −6.38152 | + | 26.1438i | −0.249346 | + | 1.02152i | ||||
\(656\) | −6.71876 | − | 4.31789i | −0.262324 | − | 0.168585i | ||||
\(657\) | 1.26295 | + | 17.6584i | 0.0492725 | + | 0.688920i | ||||
\(658\) | −1.18795 | + | 0.648672i | −0.0463113 | + | 0.0252879i | ||||
\(659\) | 4.18317 | + | 29.0946i | 0.162953 | + | 1.13336i | 0.893030 | + | 0.449998i | \(0.148575\pi\) |
−0.730077 | + | 0.683365i | \(0.760516\pi\) | |||||||
\(660\) | −8.43514 | + | 2.24743i | −0.328337 | + | 0.0874812i | ||||
\(661\) | 13.6162 | − | 6.21833i | 0.529611 | − | 0.241865i | −0.132618 | − | 0.991167i | \(-0.542338\pi\) |
0.662228 | + | 0.749302i | \(0.269611\pi\) | |||||||
\(662\) | 13.1298 | − | 24.0455i | 0.510306 | − | 0.934555i | ||||
\(663\) | 8.05340 | + | 21.5920i | 0.312768 | + | 0.838564i | ||||
\(664\) | 0.883791 | − | 6.14690i | 0.0342977 | − | 0.238546i | ||||
\(665\) | −0.423017 | − | 3.58085i | −0.0164039 | − | 0.138859i | ||||
\(666\) | − | 10.3367i | − | 0.400538i | ||||||
\(667\) | 1.93447 | + | 0.556889i | 0.0749029 | + | 0.0215628i | ||||
\(668\) | 4.47444 | + | 4.47444i | 0.173121 | + | 0.173121i | ||||
\(669\) | 5.15982 | + | 8.02884i | 0.199490 | + | 0.310413i | ||||
\(670\) | 10.8106 | − | 2.06776i | 0.417651 | − | 0.0798844i | ||||
\(671\) | −4.28912 | + | 9.39186i | −0.165580 | + | 0.362569i | ||||
\(672\) | −1.30949 | − | 0.715033i | −0.0505145 | − | 0.0275830i | ||||
\(673\) | −7.72305 | + | 20.7063i | −0.297702 | + | 0.798169i | 0.698856 | + | 0.715263i | \(0.253693\pi\) |
−0.996557 | + | 0.0829062i | \(0.973580\pi\) | |||||||
\(674\) | −10.6575 | − | 12.2994i | −0.410510 | − | 0.473754i | ||||
\(675\) | 27.5988 | − | 0.579020i | 1.06228 | − | 0.0222865i | ||||
\(676\) | −12.8949 | − | 3.78628i | −0.495957 | − | 0.145626i | ||||
\(677\) | 38.5801 | − | 2.75930i | 1.48275 | − | 0.106049i | 0.693651 | − | 0.720311i | \(-0.256001\pi\) |
0.789102 | + | 0.614262i | \(0.210546\pi\) | |||||||
\(678\) | 4.73095 | − | 1.02916i | 0.181691 | − | 0.0395245i | ||||
\(679\) | 1.76045 | − | 2.73932i | 0.0675599 | − | 0.105125i | ||||
\(680\) | −3.03574 | + | 7.55200i | −0.116415 | + | 0.289606i | ||||
\(681\) | −1.04330 | + | 3.55315i | −0.0399793 | + | 0.136157i | ||||
\(682\) | 0.0917867 | − | 0.122613i | 0.00351470 | − | 0.00469508i | ||||
\(683\) | 2.97437 | − | 41.5871i | 0.113811 | − | 1.59129i | −0.544646 | − | 0.838666i | \(-0.683336\pi\) |
0.658457 | − | 0.752619i | \(-0.271210\pi\) | |||||||
\(684\) | 0.820373 | + | 1.79637i | 0.0313677 | + | 0.0686858i | ||||
\(685\) | −3.78563 | + | 22.3196i | −0.144641 | + | 0.852788i | ||||
\(686\) | 13.8130 | + | 6.30821i | 0.527385 | + | 0.240848i | ||||
\(687\) | −8.69641 | + | 6.51005i | −0.331789 | + | 0.248374i | ||||
\(688\) | 2.51594 | − | 11.5656i | 0.0959195 | − | 0.440935i | ||||
\(689\) | 53.3234 | 2.03146 | ||||||||
\(690\) | −12.4607 | + | 4.36703i | −0.474370 | + | 0.166250i | ||||
\(691\) | 15.4014 | 0.585897 | 0.292949 | − | 0.956128i | \(-0.405363\pi\) | ||||
0.292949 | + | 0.956128i | \(0.405363\pi\) | |||||||
\(692\) | 4.47160 | − | 20.5556i | 0.169985 | − | 0.781407i | ||||
\(693\) | 4.56441 | − | 3.41687i | 0.173387 | − | 0.129796i | ||||
\(694\) | −23.6198 | − | 10.7868i | −0.896595 | − | 0.409461i | ||||
\(695\) | 11.4309 | − | 8.11560i | 0.433598 | − | 0.307842i | ||||
\(696\) | −0.214693 | − | 0.470112i | −0.00813792 | − | 0.0178196i | ||||
\(697\) | −2.07393 | + | 28.9973i | −0.0785555 | + | 1.09835i | ||||
\(698\) | −5.27027 | + | 7.04025i | −0.199483 | + | 0.266478i | ||||
\(699\) | 2.73724 | − | 9.32217i | 0.103532 | − | 0.352597i | ||||
\(700\) | 4.06283 | + | 4.49470i | 0.153561 | + | 0.169884i | ||||
\(701\) | 23.7004 | − | 36.8786i | 0.895153 | − | 1.39288i | −0.0243085 | − | 0.999705i | \(-0.507738\pi\) |
0.919461 | − | 0.393180i | \(-0.128625\pi\) | |||||||
\(702\) | −27.7396 | + | 6.03437i | −1.04696 | + | 0.227753i | ||||
\(703\) | 9.24555 | − | 0.661255i | 0.348702 | − | 0.0249397i | ||||
\(704\) | 3.04223 | + | 0.893280i | 0.114658 | + | 0.0336667i | ||||
\(705\) | 2.73539 | − | 1.40531i | 0.103021 | − | 0.0529270i | ||||
\(706\) | 3.87426 | + | 4.47114i | 0.145810 | + | 0.168273i | ||||
\(707\) | −4.29591 | + | 11.5178i | −0.161564 | + | 0.433171i | ||||
\(708\) | −2.05741 | − | 1.12343i | −0.0773222 | − | 0.0422211i | ||||
\(709\) | 9.59066 | − | 21.0006i | 0.360185 | − | 0.788695i | −0.639615 | − | 0.768695i | \(-0.720906\pi\) |
0.999800 | − | 0.0199994i | \(-0.00636644\pi\) | |||||||
\(710\) | −9.84727 | + | 14.5052i | −0.369562 | + | 0.544370i | ||||
\(711\) | 11.9895 | + | 18.6561i | 0.449642 | + | 0.699657i | ||||
\(712\) | 1.29494 | + | 1.29494i | 0.0485298 | + | 0.0485298i | ||||
\(713\) | 0.124214 | − | 0.195552i | 0.00465185 | − | 0.00732350i | ||||
\(714\) | 5.43085i | 0.203244i | ||||||||
\(715\) | −36.2035 | + | 4.27683i | −1.35393 | + | 0.159945i | ||||
\(716\) | 2.07327 | − | 14.4199i | 0.0774819 | − | 0.538899i | ||||
\(717\) | −2.60825 | − | 6.99299i | −0.0974069 | − | 0.261158i | ||||
\(718\) | 6.32352 | − | 11.5807i | 0.235992 | − | 0.432186i | ||||
\(719\) | −21.9795 | + | 10.0377i | −0.819699 | + | 0.374344i | −0.780708 | − | 0.624896i | \(-0.785142\pi\) |
−0.0389906 | + | 0.999240i | \(0.512414\pi\) | |||||||
\(720\) | −2.87141 | − | 1.66322i | −0.107011 | − | 0.0619845i | ||||
\(721\) | 1.94013 | + | 13.4939i | 0.0722541 | + | 0.502538i | ||||
\(722\) | 15.1216 | − | 8.25704i | 0.562769 | − | 0.307295i | ||||
\(723\) | 0.0980182 | + | 1.37047i | 0.00364534 | + | 0.0509685i | ||||
\(724\) | 20.0187 | + | 12.8653i | 0.743990 | + | 0.478134i | ||||
\(725\) | 0.193598 | + | 2.08978i | 0.00719005 | + | 0.0776125i | ||||
\(726\) | −0.763476 | + | 0.881098i | −0.0283352 | + | 0.0327006i | ||||
\(727\) | −1.24735 | − | 2.28435i | −0.0462617 | − | 0.0847220i | 0.853525 | − | 0.521051i | \(-0.174460\pi\) |
−0.899787 | + | 0.436329i | \(0.856278\pi\) | |||||||
\(728\) | −4.98797 | − | 3.73395i | −0.184867 | − | 0.138389i | ||||
\(729\) | −18.0430 | + | 15.6343i | −0.668259 | + | 0.579049i | ||||
\(730\) | 19.3318 | − | 18.3808i | 0.715502 | − | 0.680305i | ||||
\(731\) | −41.3384 | + | 12.1380i | −1.52895 | + | 0.448941i | ||||
\(732\) | 3.75665 | − | 1.40116i | 0.138850 | − | 0.0517884i | ||||
\(733\) | 3.30961 | + | 4.42112i | 0.122243 | + | 0.163298i | 0.857488 | − | 0.514504i | \(-0.172024\pi\) |
−0.735245 | + | 0.677801i | \(0.762933\pi\) | |||||||
\(734\) | −23.0589 | + | 14.8191i | −0.851120 | + | 0.546982i | ||||
\(735\) | −13.6894 | − | 6.67382i | −0.504943 | − | 0.246168i | ||||
\(736\) | 4.69157 | + | 0.994570i | 0.172934 | + | 0.0366603i | ||||
\(737\) | −11.0358 | + | 11.0358i | −0.406509 | + | 0.406509i | ||||
\(738\) | −11.5813 | − | 2.51935i | −0.426313 | − | 0.0927387i | ||||
\(739\) | 43.0951 | + | 6.19614i | 1.58528 | + | 0.227929i | 0.877878 | − | 0.478885i | \(-0.158959\pi\) |
0.707400 | + | 0.706813i | \(0.249868\pi\) | |||||||
\(740\) | −12.0243 | + | 9.89955i | −0.442020 | + | 0.363915i | ||||
\(741\) | −2.37359 | − | 8.08370i | −0.0871960 | − | 0.296962i | ||||
\(742\) | 11.7740 | + | 4.39149i | 0.432238 | + | 0.161217i | ||||
\(743\) | −10.3375 | − | 0.739355i | −0.379247 | − | 0.0271243i | −0.119585 | − | 0.992824i | \(-0.538157\pi\) |
−0.259662 | + | 0.965700i | \(0.583611\pi\) | |||||||
\(744\) | −0.0588719 | + | 0.00846449i | −0.00215835 | + | 0.000310323i | ||||
\(745\) | −0.771976 | − | 16.7018i | −0.0282830 | − | 0.611905i | ||||
\(746\) | 20.2367 | + | 17.5352i | 0.740918 | + | 0.642009i | ||||
\(747\) | −1.95896 | − | 9.00520i | −0.0716747 | − | 0.329483i | ||||
\(748\) | −2.45327 | − | 11.2775i | −0.0897005 | − | 0.412346i | ||||
\(749\) | 2.76369 | + | 2.39475i | 0.100983 | + | 0.0875023i | ||||
\(750\) | −8.97061 | − | 10.4416i | −0.327560 | − | 0.381275i | ||||
\(751\) | −19.5796 | + | 2.81512i | −0.714470 | + | 0.102725i | −0.489958 | − | 0.871746i | \(-0.662988\pi\) |
−0.224512 | + | 0.974471i | \(0.572079\pi\) | |||||||
\(752\) | −1.11414 | − | 0.0796849i | −0.0406285 | − | 0.00290581i | ||||
\(753\) | 31.7028 | + | 11.8245i | 1.15531 | + | 0.430909i | ||||
\(754\) | −0.608062 | − | 2.07087i | −0.0221443 | − | 0.0754166i | ||||
\(755\) | 14.1304 | + | 1.36942i | 0.514256 | + | 0.0498382i | ||||
\(756\) | −6.62198 | − | 0.952097i | −0.240839 | − | 0.0346274i | ||||
\(757\) | 22.7140 | + | 4.94113i | 0.825555 | + | 0.179589i | 0.605446 | − | 0.795887i | \(-0.292995\pi\) |
0.220110 | + | 0.975475i | \(0.429359\pi\) | |||||||
\(758\) | −12.1164 | + | 12.1164i | −0.440087 | + | 0.440087i | ||||
\(759\) | 11.1404 | − | 15.0474i | 0.404369 | − | 0.546186i | ||||
\(760\) | 1.30396 | − | 2.67471i | 0.0472997 | − | 0.0970220i | ||||
\(761\) | 12.7871 | − | 8.21780i | 0.463533 | − | 0.297895i | −0.287952 | − | 0.957645i | \(-0.592974\pi\) |
0.751485 | + | 0.659750i | \(0.229338\pi\) | |||||||
\(762\) | 9.59122 | + | 12.8124i | 0.347453 | + | 0.464143i | ||||
\(763\) | 20.3261 | − | 7.58123i | 0.735853 | − | 0.274459i | ||||
\(764\) | 17.3045 | − | 5.08105i | 0.626053 | − | 0.183826i | ||||
\(765\) | −0.304491 | + | 12.0749i | −0.0110089 | + | 0.436569i | ||||
\(766\) | −5.96120 | + | 5.16541i | −0.215387 | + | 0.186634i | ||||
\(767\) | −7.83690 | − | 5.86663i | −0.282974 | − | 0.211832i | ||||
\(768\) | −0.590080 | − | 1.08065i | −0.0212927 | − | 0.0389946i | ||||
\(769\) | −28.1303 | + | 32.4640i | −1.01440 | + | 1.17068i | −0.0291508 | + | 0.999575i | \(0.509280\pi\) |
−0.985252 | + | 0.171108i | \(0.945265\pi\) | |||||||
\(770\) | −8.34611 | − | 2.03722i | −0.300773 | − | 0.0734164i | ||||
\(771\) | 1.01277 | + | 0.650867i | 0.0364740 | + | 0.0234404i | ||||
\(772\) | −0.0420632 | − | 0.588121i | −0.00151389 | − | 0.0211669i | ||||
\(773\) | −15.9567 | + | 8.71304i | −0.573924 | + | 0.313386i | −0.739871 | − | 0.672748i | \(-0.765114\pi\) |
0.165947 | + | 0.986135i | \(0.446932\pi\) | |||||||
\(774\) | −2.49973 | − | 17.3860i | −0.0898510 | − | 0.624927i | ||||
\(775\) | 0.237035 | + | 0.0463793i | 0.00851457 | + | 0.00166599i | ||||
\(776\) | 2.44436 | − | 1.11630i | 0.0877474 | − | 0.0400729i | ||||
\(777\) | −4.98049 | + | 9.12109i | −0.178674 | + | 0.327217i | ||||
\(778\) | −5.61617 | − | 15.0575i | −0.201349 | − | 0.539839i | ||||
\(779\) | 1.51254 | − | 10.5200i | 0.0541924 | − | 0.376916i | ||||
\(780\) | 11.1155 | + | 8.76673i | 0.397998 | + | 0.313899i | ||||
\(781\) | − | 24.8597i | − | 0.889549i | ||||||
\(782\) | −5.00690 | − | 16.7234i | −0.179046 | − | 0.598029i | ||||
\(783\) | −1.63865 | − | 1.63865i | −0.0585606 | − | 0.0585606i | ||||
\(784\) | 2.99063 | + | 4.65351i | 0.106808 | + | 0.166197i | ||||
\(785\) | −39.5398 | − | 26.8428i | −1.41124 | − | 0.958060i | ||||
\(786\) | −6.15578 | + | 13.4793i | −0.219569 | + | 0.480790i | ||||
\(787\) | −43.6549 | − | 23.8374i | −1.55613 | − | 0.849710i | −0.999825 | − | 0.0187306i | \(-0.994038\pi\) |
−0.556303 | − | 0.830979i | \(-0.687781\pi\) | |||||||
\(788\) | −7.50182 | + | 20.1131i | −0.267241 | + | 0.716501i | ||||
\(789\) | 5.48675 | + | 6.33205i | 0.195334 | + | 0.225427i | ||||
\(790\) | 10.2194 | − | 31.8141i | 0.363589 | − | 1.13190i | ||||
\(791\) | 4.57190 | + | 1.34243i | 0.162558 | + | 0.0477314i | ||||
\(792\) | 4.69328 | − | 0.335670i | 0.166769 | − | 0.0119275i | ||||
\(793\) | 16.3614 | − | 3.55920i | 0.581010 | − | 0.126391i | ||||
\(794\) | −8.48157 | + | 13.1976i | −0.301000 | + | 0.468364i | ||||
\(795\) | −26.4912 | − | 10.6489i | −0.939546 | − | 0.377677i | ||||
\(796\) | 5.82981 | − | 19.8545i | 0.206632 | − | 0.703725i | ||||
\(797\) | −3.27287 | + | 4.37205i | −0.115931 | + | 0.154866i | −0.854753 | − | 0.519035i | \(-0.826292\pi\) |
0.738822 | + | 0.673901i | \(0.235382\pi\) | |||||||
\(798\) | 0.141641 | − | 1.98039i | 0.00501402 | − | 0.0701052i | ||||
\(799\) | 1.68901 | + | 3.69842i | 0.0597530 | + | 0.130841i | ||||
\(800\) | 0.815227 | + | 4.93309i | 0.0288226 | + | 0.174411i | ||||
\(801\) | 2.47208 | + | 1.12896i | 0.0873468 | + | 0.0398900i | ||||
\(802\) | −7.74653 | + | 5.79898i | −0.273539 | + | 0.204769i | ||||
\(803\) | −8.04021 | + | 36.9603i | −0.283733 | + | 1.30430i | ||||
\(804\) | 6.06063 | 0.213742 | ||||||||
\(805\) | −12.8230 | − | 2.10504i | −0.451952 | − | 0.0741930i | ||||
\(806\) | −0.248385 | −0.00874900 | ||||||||
\(807\) | 3.90584 | − | 17.9549i | 0.137492 | − | 0.632041i | ||||
\(808\) | −8.12121 | + | 6.07946i | −0.285703 | + | 0.213875i | ||||
\(809\) | −8.94018 | − | 4.08284i | −0.314320 | − | 0.143545i | 0.252008 | − | 0.967725i | \(-0.418909\pi\) |
−0.566328 | + | 0.824180i | \(0.691636\pi\) | |||||||
\(810\) | 5.17136 | + | 0.877116i | 0.181703 | + | 0.0308187i | ||||
\(811\) | 6.53308 | + | 14.3054i | 0.229407 | + | 0.502332i | 0.988973 | − | 0.148099i | \(-0.0473155\pi\) |
−0.759565 | + | 0.650431i | \(0.774588\pi\) | |||||||
\(812\) | 0.0362853 | − | 0.507334i | 0.00127336 | − | 0.0178039i | ||||
\(813\) | −0.0569810 | + | 0.0761176i | −0.00199841 | + | 0.00266956i | ||||
\(814\) | 6.22205 | − | 21.1904i | 0.218083 | − | 0.742721i | ||||
\(815\) | −16.6421 | − | 39.0151i | −0.582947 | − | 1.36664i | ||||
\(816\) | −2.42304 | + | 3.77033i | −0.0848234 | + | 0.131988i | ||||
\(817\) | 15.3909 | − | 3.34808i | 0.538458 | − | 0.117134i | ||||
\(818\) | −7.08174 | + | 0.506496i | −0.247607 | + | 0.0177092i | ||||
\(819\) | −8.87190 | − | 2.60502i | −0.310009 | − | 0.0910269i | ||||
\(820\) | 8.16087 | + | 15.8849i | 0.284990 | + | 0.554724i | ||||
\(821\) | 28.6882 | + | 33.1080i | 1.00123 | + | 1.15548i | 0.987826 | + | 0.155566i | \(0.0497200\pi\) |
0.0133999 | + | 0.999910i | \(0.495735\pi\) | |||||||
\(822\) | −4.35624 | + | 11.6795i | −0.151941 | + | 0.407371i | ||||
\(823\) | −34.7538 | − | 18.9770i | −1.21144 | − | 0.661497i | −0.258900 | − | 0.965904i | \(-0.583360\pi\) |
−0.952542 | + | 0.304407i | \(0.901542\pi\) | |||||||
\(824\) | −4.67355 | + | 10.2336i | −0.162811 | + | 0.356506i | ||||
\(825\) | 18.8401 | + | 5.10524i | 0.655928 | + | 0.177742i | ||||
\(826\) | −1.24727 | − | 1.94079i | −0.0433981 | − | 0.0675287i | ||||
\(827\) | 4.83634 | + | 4.83634i | 0.168176 | + | 0.168176i | 0.786177 | − | 0.618001i | \(-0.212057\pi\) |
−0.618001 | + | 0.786177i | \(0.712057\pi\) | |||||||
\(828\) | 7.03911 | − | 1.05019i | 0.244626 | − | 0.0364966i | ||||
\(829\) | − | 39.2405i | − | 1.36288i | −0.731875 | − | 0.681439i | \(-0.761354\pi\) | ||
0.731875 | − | 0.681439i | \(-0.238646\pi\) | |||||||
\(830\) | −8.59929 | + | 10.9032i | −0.298486 | + | 0.378455i | ||||
\(831\) | 5.54378 | − | 38.5578i | 0.192312 | − | 1.33756i | ||||
\(832\) | −1.79691 | − | 4.81771i | −0.0622968 | − | 0.167024i | ||||
\(833\) | 9.64980 | − | 17.6723i | 0.334346 | − | 0.612308i | ||||
\(834\) | 7.02170 | − | 3.20670i | 0.243142 | − | 0.111039i | ||||
\(835\) | −3.64284 | − | 13.6724i | −0.126066 | − | 0.473154i | ||||
\(836\) | 0.600475 | + | 4.17640i | 0.0207679 | + | 0.144444i | ||||
\(837\) | −0.234074 | + | 0.127814i | −0.00809077 | + | 0.00441789i | ||||
\(838\) | 0.266251 | + | 3.72267i | 0.00919747 | + | 0.128597i | ||||
\(839\) | −20.7248 | − | 13.3190i | −0.715498 | − | 0.459823i | 0.131570 | − | 0.991307i | \(-0.457998\pi\) |
−0.847068 | + | 0.531484i | \(0.821634\pi\) | |||||||
\(840\) | 1.73235 | + | 2.85115i | 0.0597719 | + | 0.0983742i | ||||
\(841\) | −18.8756 | + | 21.7836i | −0.650882 | + | 0.751158i | ||||
\(842\) | −5.24938 | − | 9.61353i | −0.180906 | − | 0.331304i | ||||
\(843\) | −10.6336 | − | 7.96023i | −0.366242 | − | 0.274165i | ||||
\(844\) | −19.3840 | + | 16.7963i | −0.667226 | + | 0.578154i | ||||
\(845\) | 20.7069 | + | 21.7782i | 0.712339 | + | 0.749194i | ||||
\(846\) | −1.59047 | + | 0.467003i | −0.0546813 | + | 0.0160559i | ||||
\(847\) | −1.07505 | + | 0.400973i | −0.0369392 | + | 0.0137776i | ||||
\(848\) | 6.21472 | + | 8.30189i | 0.213414 | + | 0.285088i | ||||
\(849\) | 9.48492 | − | 6.09559i | 0.325522 | − | 0.209200i | ||||
\(850\) | 14.3379 | − | 11.2101i | 0.491786 | − | 0.384503i | ||||
\(851\) | 6.92758 | − | 32.6787i | 0.237474 | − | 1.12021i | ||||
\(852\) | −6.82621 | + | 6.82621i | −0.233862 | + | 0.233862i | ||||
\(853\) | 30.9069 | + | 6.72339i | 1.05823 | + | 0.230204i | 0.707821 | − | 0.706392i | \(-0.249678\pi\) |
0.350411 | + | 0.936596i | \(0.386042\pi\) | |||||||
\(854\) | 3.90578 | + | 0.561567i | 0.133653 | + | 0.0192164i | ||||
\(855\) | 0.425957 | − | 4.39525i | 0.0145674 | − | 0.150315i | ||||
\(856\) | 0.850223 | + | 2.89559i | 0.0290600 | + | 0.0989693i | ||||
\(857\) | −28.3994 | − | 10.5924i | −0.970104 | − | 0.361830i | −0.186062 | − | 0.982538i | \(-0.559573\pi\) |
−0.784042 | + | 0.620708i | \(0.786845\pi\) | |||||||
\(858\) | −20.0224 | − | 1.43203i | −0.683554 | − | 0.0488887i | ||||
\(859\) | −26.5495 | + | 3.81725i | −0.905858 | + | 0.130243i | −0.579470 | − | 0.814993i | \(-0.696741\pi\) |
−0.326388 | + | 0.945236i | \(0.605831\pi\) | |||||||
\(860\) | −17.8305 | + | 19.5586i | −0.608014 | + | 0.666944i | ||||
\(861\) | 9.00545 | + | 7.80327i | 0.306905 | + | 0.265935i | ||||
\(862\) | 1.35070 | + | 6.20905i | 0.0460049 | + | 0.211481i | ||||
\(863\) | −10.6380 | − | 48.9019i | −0.362120 | − | 1.66464i | −0.692978 | − | 0.720959i | \(-0.743702\pi\) |
0.330858 | − | 0.943681i | \(-0.392662\pi\) | |||||||
\(864\) | −4.17247 | − | 3.61546i | −0.141950 | − | 0.123001i | ||||
\(865\) | −31.6902 | + | 34.7617i | −1.07750 | + | 1.18193i | ||||
\(866\) | 11.2432 | − | 1.61653i | 0.382061 | − | 0.0549321i | ||||
\(867\) | −4.60585 | − | 0.329417i | −0.156423 | − | 0.0111876i | ||||
\(868\) | −0.0548446 | − | 0.0204560i | −0.00186155 | − | 0.000694321i | ||||
\(869\) | 13.3489 | + | 45.4622i | 0.452831 | + | 1.54220i | ||||
\(870\) | −0.111474 | + | 1.15025i | −0.00377932 | + | 0.0389970i | ||||
\(871\) | 25.0524 | + | 3.60200i | 0.848870 | + | 0.122049i | ||||
\(872\) | 17.4937 | + | 3.80552i | 0.592411 | + | 0.128871i | ||||
\(873\) | 2.81980 | − | 2.81980i | 0.0954359 | − | 0.0954359i | ||||
\(874\) | 1.38964 | + | 6.22890i | 0.0470052 | + | 0.210696i | ||||
\(875\) | −2.82372 | − | 13.2503i | −0.0954592 | − | 0.447943i | ||||
\(876\) | 12.3567 | − | 7.94114i | 0.417493 | − | 0.268306i | ||||
\(877\) | 4.11061 | + | 5.49114i | 0.138806 | + | 0.185423i | 0.864557 | − | 0.502534i | \(-0.167599\pi\) |
−0.725752 | + | 0.687957i | \(0.758508\pi\) | |||||||
\(878\) | 10.6650 | − | 3.97783i | 0.359926 | − | 0.134245i | ||||
\(879\) | 37.9300 | − | 11.1373i | 1.27935 | − | 0.375650i | ||||
\(880\) | −4.88529 | − | 5.13805i | −0.164683 | − | 0.173204i | ||||
\(881\) | 11.7368 | − | 10.1700i | 0.395422 | − | 0.342636i | −0.434343 | − | 0.900747i | \(-0.643019\pi\) |
0.829766 | + | 0.558112i | \(0.188474\pi\) | |||||||
\(882\) | 6.57162 | + | 4.91945i | 0.221278 | + | 0.165647i | ||||
\(883\) | −3.56265 | − | 6.52451i | −0.119893 | − | 0.219567i | 0.810839 | − | 0.585269i | \(-0.199011\pi\) |
−0.930732 | + | 0.365701i | \(0.880829\pi\) | |||||||
\(884\) | −12.2568 | + | 14.1451i | −0.412240 | + | 0.475750i | ||||
\(885\) | 2.72180 | + | 4.47962i | 0.0914925 | + | 0.150581i | ||||
\(886\) | −17.8121 | − | 11.4472i | −0.598410 | − | 0.384575i | ||||
\(887\) | 3.52211 | + | 49.2455i | 0.118261 | + | 1.65350i | 0.617156 | + | 0.786841i | \(0.288285\pi\) |
−0.498895 | + | 0.866662i | \(0.666261\pi\) | |||||||
\(888\) | −7.52716 | + | 4.11014i | −0.252595 | + | 0.137927i | ||||
\(889\) | 2.24162 | + | 15.5908i | 0.0751816 | + | 0.522899i | ||||
\(890\) | −1.05427 | − | 3.95691i | −0.0353391 | − | 0.132636i | ||||
\(891\) | −6.76542 | + | 3.08966i | −0.226650 | + | 0.103508i | ||||
\(892\) | −3.71482 | + | 6.80319i | −0.124381 | + | 0.227787i | ||||
\(893\) | −0.519452 | − | 1.39270i | −0.0173828 | − | 0.0466051i | ||||
\(894\) | 1.31021 | − | 9.11270i | 0.0438199 | − | 0.304774i | ||||
\(895\) | −20.1730 | + | 25.5777i | −0.674309 | + | 0.854967i | ||||
\(896\) | − | 1.21176i | − | 0.0404820i | ||||||
\(897\) | −30.3621 | + | 0.160958i | −1.01376 | + | 0.00537424i | ||||
\(898\) | −21.4400 | − | 21.4400i | −0.715462 | − | 0.715462i | ||||
\(899\) | −0.0109622 | − | 0.0170575i | −0.000365609 | − | 0.000568899i | ||||
\(900\) | 3.69185 | + | 6.43636i | 0.123062 | + | 0.214545i | ||||
\(901\) | 15.6812 | − | 34.3370i | 0.522415 | − | 1.14393i | ||||
\(902\) | −22.2253 | − | 12.1360i | −0.740023 | − | 0.404083i | ||||
\(903\) | −6.17130 | + | 16.5459i | −0.205368 | + | 0.550613i | ||||
\(904\) | 2.57507 | + | 2.97178i | 0.0856454 | + | 0.0988401i | ||||
\(905\) | −24.3155 | − | 47.3295i | −0.808276 | − | 1.57328i | ||||
\(906\) | 7.50049 | + | 2.20234i | 0.249187 | + | 0.0731679i | ||||
\(907\) | −4.49034 | + | 0.321155i | −0.149099 | + | 0.0106638i | −0.145689 | − | 0.989330i | \(-0.546540\pi\) |
−0.00340992 | + | 0.999994i | \(0.501085\pi\) | |||||||
\(908\) | −2.93888 | + | 0.639314i | −0.0975302 | + | 0.0212164i | ||||
\(909\) | −8.13917 | + | 12.6648i | −0.269959 | + | 0.420065i | ||||
\(910\) | 5.46640 | + | 12.8152i | 0.181209 | + | 0.424820i | ||||
\(911\) | −13.3712 | + | 45.5380i | −0.443007 | + | 1.50874i | 0.371414 | + | 0.928467i | \(0.378873\pi\) |
−0.814421 | + | 0.580275i | \(0.802945\pi\) | |||||||
\(912\) | 0.981911 | − | 1.31168i | 0.0325143 | − | 0.0434340i | ||||
\(913\) | 1.40468 | − | 19.6400i | 0.0464882 | − | 0.649989i | ||||
\(914\) | 1.75183 | + | 3.83597i | 0.0579454 | + | 0.126883i | ||||
\(915\) | −8.83917 | − | 1.49921i | −0.292214 | − | 0.0495624i | ||||
\(916\) | −8.02551 | − | 3.66513i | −0.265170 | − | 0.121099i | ||||
\(917\) | −11.6748 | + | 8.73968i | −0.385537 | + | 0.288610i | ||||
\(918\) | −4.27179 | + | 19.6371i | −0.140990 | + | 0.648121i | ||||
\(919\) | 41.4667 | 1.36786 | 0.683930 | − | 0.729547i | \(-0.260269\pi\) | ||||
0.683930 | + | 0.729547i | \(0.260269\pi\) | |||||||
\(920\) | −7.96309 | − | 7.18256i | −0.262535 | − | 0.236802i | ||||
\(921\) | −23.1456 | −0.762674 | ||||||||
\(922\) | −7.40600 | + | 34.0448i | −0.243904 | + | 1.12121i | ||||
\(923\) | −32.2740 | + | 24.1600i | −1.06231 | + | 0.795238i | ||||
\(924\) | −4.30310 | − | 1.96516i | −0.141562 | − | 0.0646490i | ||||
\(925\) | 34.3610 | − | 5.67838i | 1.12978 | − | 0.186704i | ||||
\(926\) | −13.7628 | − | 30.1364i | −0.452275 | − | 0.990343i | ||||
\(927\) | −1.19104 | + | 16.6529i | −0.0391189 | + | 0.546954i | ||||
\(928\) | 0.251544 | − | 0.336024i | 0.00825735 | − | 0.0110305i | ||||
\(929\) | −0.948223 | + | 3.22935i | −0.0311102 | + | 0.105952i | −0.973584 | − | 0.228327i | \(-0.926674\pi\) |
0.942474 | + | 0.334279i | \(0.108493\pi\) | |||||||
\(930\) | 0.123399 | + | 0.0496035i | 0.00404640 | + | 0.00162656i | ||||
\(931\) | −3.97977 | + | 6.19264i | −0.130432 | + | 0.202956i | ||||
\(932\) | 7.71056 | − | 1.67733i | 0.252568 | − | 0.0549427i | ||||
\(933\) | −31.1888 | + | 2.23066i | −1.02107 | + | 0.0730286i | ||||
\(934\) | 22.5056 | + | 6.60824i | 0.736406 | + | 0.216228i | ||||
\(935\) | −7.89258 | + | 24.5705i | −0.258115 | + | 0.803542i | ||||
\(936\) | −4.99698 | − | 5.76683i | −0.163332 | − | 0.188495i | ||||
\(937\) | 13.6785 | − | 36.6735i | 0.446857 | − | 1.19807i | −0.497010 | − | 0.867745i | \(-0.665569\pi\) |
0.943867 | − | 0.330325i | \(-0.107158\pi\) | |||||||
\(938\) | 5.23504 | + | 2.85855i | 0.170930 | + | 0.0933349i | ||||
\(939\) | 2.89660 | − | 6.34268i | 0.0945271 | − | 0.206985i | ||||
\(940\) | 2.06646 | + | 1.40287i | 0.0674004 | + | 0.0457567i | ||||
\(941\) | 20.9705 | + | 32.6308i | 0.683620 | + | 1.06373i | 0.993596 | + | 0.112989i | \(0.0360425\pi\) |
−0.309976 | + | 0.950744i | \(0.600321\pi\) | |||||||
\(942\) | −18.6076 | − | 18.6076i | −0.606269 | − | 0.606269i | ||||
\(943\) | −34.9250 | − | 15.7265i | −1.13731 | − | 0.512125i | ||||
\(944\) | − | 1.90386i | − | 0.0619655i | ||||||
\(945\) | 11.7459 | + | 9.26391i | 0.382093 | + | 0.301355i | ||||
\(946\) | 5.34083 | − | 37.1463i | 0.173646 | − | 1.20773i | ||||
\(947\) | 4.49524 | + | 12.0522i | 0.146076 | + | 0.391644i | 0.989296 | − | 0.145925i | \(-0.0466157\pi\) |
−0.843220 | + | 0.537568i | \(0.819343\pi\) | |||||||
\(948\) | 8.81798 | − | 16.1489i | 0.286395 | − | 0.524493i | ||||
\(949\) | 55.7976 | − | 25.4819i | 1.81127 | − | 0.827177i | ||||
\(950\) | −5.52078 | + | 3.71389i | −0.179118 | + | 0.120495i | ||||
\(951\) | 1.52281 | + | 10.5914i | 0.0493804 | + | 0.343448i | ||||
\(952\) | −3.87128 | + | 2.11388i | −0.125469 | + | 0.0685111i | ||||
\(953\) | −1.82577 | − | 25.5275i | −0.0591424 | − | 0.826918i | −0.937295 | − | 0.348537i | \(-0.886678\pi\) |
0.878153 | − | 0.478381i | \(-0.158776\pi\) | |||||||
\(954\) | 12.9466 | + | 8.32025i | 0.419160 | + | 0.269378i | ||||
\(955\) | −39.1772 | − | 9.56287i | −1.26775 | − | 0.309447i | ||||
\(956\) | 3.96960 | − | 4.58116i | 0.128386 | − | 0.148165i | ||||
\(957\) | −0.785321 | − | 1.43821i | −0.0253858 | − | 0.0464907i | ||||
\(958\) | −6.31027 | − | 4.72381i | −0.203876 | − | 0.152619i | ||||
\(959\) | −9.27158 | + | 8.03387i | −0.299395 | + | 0.259427i | ||||
\(960\) | −0.0694044 | + | 2.75230i | −0.00224002 | + | 0.0888302i | ||||
\(961\) | 29.7420 | − | 8.73305i | 0.959421 | − | 0.281711i | ||||
\(962\) | −33.5573 | + | 12.5162i | −1.08193 | + | 0.403539i | ||||
\(963\) | 2.68385 | + | 3.58520i | 0.0864858 | + | 0.115532i | ||||
\(964\) | −0.938764 | + | 0.603307i | −0.0302355 | + | 0.0194312i | ||||
\(965\) | −0.577757 | + | 1.18510i | −0.0185987 | + | 0.0381499i | ||||
\(966\) | −6.71734 | − | 2.46495i | −0.216127 | − | 0.0793085i | ||||
\(967\) | 1.78926 | − | 1.78926i | 0.0575386 | − | 0.0575386i | −0.677752 | − | 0.735291i | \(-0.737046\pi\) |
0.735291 | + | 0.677752i | \(0.237046\pi\) | |||||||
\(968\) | −0.925245 | − | 0.201275i | −0.0297385 | − | 0.00646922i | ||||
\(969\) | −5.90342 | − | 0.848783i | −0.189645 | − | 0.0272669i | ||||
\(970\) | −5.98073 | − | 0.579611i | −0.192030 | − | 0.0186102i | ||||
\(971\) | −8.22478 | − | 28.0110i | −0.263946 | − | 0.898917i | −0.979684 | − | 0.200548i | \(-0.935728\pi\) |
0.715738 | − | 0.698369i | \(-0.246090\pi\) | |||||||
\(972\) | −12.8125 | − | 4.77882i | −0.410961 | − | 0.153281i | ||||
\(973\) | 7.57766 | + | 0.541965i | 0.242929 | + | 0.0173746i | ||||
\(974\) | −13.8503 | + | 1.99137i | −0.443792 | + | 0.0638077i | ||||
\(975\) | −11.6820 | − | 29.4207i | −0.374124 | − | 0.942216i | ||||
\(976\) | 2.46101 | + | 2.13248i | 0.0787750 | + | 0.0682590i | ||||
\(977\) | −11.3359 | − | 52.1102i | −0.362667 | − | 1.66715i | −0.691203 | − | 0.722661i | \(-0.742919\pi\) |
0.328536 | − | 0.944492i | \(-0.393445\pi\) | |||||||
\(978\) | −4.96465 | − | 22.8221i | −0.158752 | − | 0.729771i | ||||
\(979\) | 4.38825 | + | 3.80244i | 0.140249 | + | 0.121527i | ||||
\(980\) | −0.571107 | − | 12.3559i | −0.0182433 | − | 0.394696i | ||||
\(981\) | 26.2974 | − | 3.78099i | 0.839611 | − | 0.120718i | ||||
\(982\) | 27.9985 | + | 2.00250i | 0.893469 | + | 0.0639022i | ||||
\(983\) | 52.7037 | + | 19.6575i | 1.68099 | + | 0.626975i | 0.994930 | − | 0.100573i | \(-0.0320676\pi\) |
0.686056 | + | 0.727548i | \(0.259340\pi\) | |||||||
\(984\) | 2.77044 | + | 9.43525i | 0.0883184 | + | 0.300785i | ||||
\(985\) | 37.0575 | − | 30.5094i | 1.18075 | − | 0.972110i | ||||
\(986\) | −1.51233 | − | 0.217440i | −0.0481623 | − | 0.00692470i | ||||
\(987\) | 1.62844 | + | 0.354246i | 0.0518340 | + | 0.0112758i | ||||
\(988\) | 4.83843 | − | 4.83843i | 0.153931 | − | 0.153931i | ||||
\(989\) | 3.74928 | − | 56.6400i | 0.119220 | − | 1.80105i | ||||
\(990\) | −9.45730 | − | 4.61058i | −0.300573 | − | 0.146534i | ||||
\(991\) | 7.69741 | − | 4.94682i | 0.244516 | − | 0.157141i | −0.412643 | − | 0.910893i | \(-0.635394\pi\) |
0.657159 | + | 0.753752i | \(0.271758\pi\) | |||||||
\(992\) | −0.0289487 | − | 0.0386710i | −0.000919123 | − | 0.00122780i | ||||
\(993\) | −31.6056 | + | 11.7883i | −1.00297 | + | 0.374090i | ||||
\(994\) | −9.11596 | + | 2.67669i | −0.289141 | + | 0.0848994i | ||||
\(995\) | −33.5325 | + | 31.8829i | −1.06305 | + | 1.01076i | ||||
\(996\) | −5.77865 | + | 5.00723i | −0.183104 | + | 0.158660i | ||||
\(997\) | 29.6585 | + | 22.2021i | 0.939295 | + | 0.703147i | 0.954961 | − | 0.296730i | \(-0.0958961\pi\) |
−0.0156666 | + | 0.999877i | \(0.504987\pi\) | |||||||
\(998\) | 19.1046 | + | 34.9875i | 0.604746 | + | 1.10751i | ||||
\(999\) | −25.1832 | + | 29.0629i | −0.796760 | + | 0.919510i |
(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 | 230.2.l.a.103.9 | yes | 240 | |
5.2 | odd | 4 | inner | 230.2.l.a.57.10 | ✓ | 240 | |
23.21 | odd | 22 | inner | 230.2.l.a.113.10 | yes | 240 | |
115.67 | even | 44 | inner | 230.2.l.a.67.9 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.57.10 | ✓ | 240 | 5.2 | odd | 4 | inner | |
230.2.l.a.67.9 | yes | 240 | 115.67 | even | 44 | inner | |
230.2.l.a.103.9 | yes | 240 | 1.1 | even | 1 | trivial | |
230.2.l.a.113.10 | yes | 240 | 23.21 | odd | 22 | inner |