Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(11,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.v (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.26 | ||
Character | \(\chi\) | \(=\) | 168.107 |
Dual form | 168.2.v.a.11.26 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32999 | + | 0.480762i | 0.940443 | + | 0.339950i | ||||
\(3\) | −1.31637 | − | 1.12568i | −0.760009 | − | 0.649912i | ||||
\(4\) | 1.53774 | + | 1.27882i | 0.768868 | + | 0.639408i | ||||
\(5\) | 1.86088 | − | 3.22314i | 0.832210 | − | 1.44143i | −0.0640716 | − | 0.997945i | \(-0.520409\pi\) |
0.896282 | − | 0.443485i | \(-0.146258\pi\) | |||||||
\(6\) | −1.20958 | − | 2.13001i | −0.493808 | − | 0.869571i | ||||
\(7\) | −2.46429 | − | 0.962962i | −0.931412 | − | 0.363965i | ||||
\(8\) | 1.43036 | + | 2.44009i | 0.505710 | + | 0.862704i | ||||
\(9\) | 0.465685 | + | 2.96364i | 0.155228 | + | 0.987879i | ||||
\(10\) | 4.02451 | − | 3.39209i | 1.27266 | − | 1.07267i | ||||
\(11\) | 2.26958 | − | 1.31034i | 0.684304 | − | 0.395083i | −0.117171 | − | 0.993112i | \(-0.537382\pi\) |
0.801475 | + | 0.598029i | \(0.204049\pi\) | |||||||
\(12\) | −0.584698 | − | 3.41440i | −0.168788 | − | 0.985652i | ||||
\(13\) | 3.57182i | 0.990645i | 0.868709 | + | 0.495323i | \(0.164950\pi\) | ||||
−0.868709 | + | 0.495323i | \(0.835050\pi\) | |||||||
\(14\) | −2.81451 | − | 2.46546i | −0.752211 | − | 0.658923i | ||||
\(15\) | −6.07784 | + | 2.14810i | −1.56929 | + | 0.554637i | ||||
\(16\) | 0.729261 | + | 3.93296i | 0.182315 | + | 0.983240i | ||||
\(17\) | −0.186192 | + | 0.107498i | −0.0451582 | + | 0.0260721i | −0.522409 | − | 0.852695i | \(-0.674967\pi\) |
0.477251 | + | 0.878767i | \(0.341633\pi\) | |||||||
\(18\) | −0.805449 | + | 4.16548i | −0.189846 | + | 0.981814i | ||||
\(19\) | −1.14103 | + | 1.97631i | −0.261769 | + | 0.453398i | −0.966712 | − | 0.255866i | \(-0.917639\pi\) |
0.704943 | + | 0.709264i | \(0.250973\pi\) | |||||||
\(20\) | 6.98334 | − | 2.57661i | 1.56152 | − | 0.576148i | ||||
\(21\) | 2.15994 | + | 4.04162i | 0.471337 | + | 0.881953i | ||||
\(22\) | 3.64848 | − | 0.651612i | 0.777858 | − | 0.138924i | ||||
\(23\) | −2.33586 | + | 4.04583i | −0.487061 | + | 0.843615i | −0.999889 | − | 0.0148767i | \(-0.995264\pi\) |
0.512828 | + | 0.858491i | \(0.328598\pi\) | |||||||
\(24\) | 0.863874 | − | 4.82221i | 0.176337 | − | 0.984330i | ||||
\(25\) | −4.42574 | − | 7.66560i | −0.885148 | − | 1.53312i | ||||
\(26\) | −1.71720 | + | 4.75048i | −0.336770 | + | 0.931646i | ||||
\(27\) | 2.72309 | − | 4.42547i | 0.524060 | − | 0.851682i | ||||
\(28\) | −2.55797 | − | 4.63215i | −0.483411 | − | 0.875394i | ||||
\(29\) | 2.57415 | 0.478008 | 0.239004 | − | 0.971019i | \(-0.423179\pi\) | ||||
0.239004 | + | 0.971019i | \(0.423179\pi\) | |||||||
\(30\) | −9.11617 | − | 0.0650478i | −1.66438 | − | 0.0118760i | ||||
\(31\) | −4.26196 | + | 2.46064i | −0.765471 | + | 0.441945i | −0.831257 | − | 0.555889i | \(-0.812378\pi\) |
0.0657857 | + | 0.997834i | \(0.479045\pi\) | |||||||
\(32\) | −0.920911 | + | 5.58139i | −0.162796 | + | 0.986660i | ||||
\(33\) | −4.46265 | − | 0.829921i | −0.776847 | − | 0.144471i | ||||
\(34\) | −0.299314 | + | 0.0534570i | −0.0513319 | + | 0.00916779i | ||||
\(35\) | −7.68949 | + | 6.15077i | −1.29976 | + | 1.03967i | ||||
\(36\) | −3.07384 | + | 5.15281i | −0.512307 | + | 0.858802i | ||||
\(37\) | −7.31104 | − | 4.22103i | −1.20193 | − | 0.693933i | −0.240944 | − | 0.970539i | \(-0.577457\pi\) |
−0.960983 | + | 0.276606i | \(0.910790\pi\) | |||||||
\(38\) | −2.46769 | + | 2.07991i | −0.400312 | + | 0.337406i | ||||
\(39\) | 4.02073 | − | 4.70186i | 0.643832 | − | 0.752899i | ||||
\(40\) | 10.5265 | − | 0.0695365i | 1.66438 | − | 0.0109947i | ||||
\(41\) | 0.909442i | 0.142031i | 0.997475 | + | 0.0710155i | \(0.0226240\pi\) | ||||
−0.997475 | + | 0.0710155i | \(0.977376\pi\) | |||||||
\(42\) | 0.929631 | + | 6.41372i | 0.143445 | + | 0.989658i | ||||
\(43\) | 3.73541 | 0.569644 | 0.284822 | − | 0.958580i | \(-0.408065\pi\) | ||||
0.284822 | + | 0.958580i | \(0.408065\pi\) | |||||||
\(44\) | 5.16570 | + | 0.887414i | 0.778759 | + | 0.133783i | ||||
\(45\) | 10.4188 | + | 4.01400i | 1.55314 | + | 0.598372i | ||||
\(46\) | −5.05175 | + | 4.25791i | −0.744840 | + | 0.627795i | ||||
\(47\) | −0.586728 | + | 1.01624i | −0.0855831 | + | 0.148234i | −0.905640 | − | 0.424048i | \(-0.860609\pi\) |
0.820056 | + | 0.572283i | \(0.193942\pi\) | |||||||
\(48\) | 3.46728 | − | 5.99816i | 0.500459 | − | 0.865761i | ||||
\(49\) | 5.14541 | + | 4.74603i | 0.735058 | + | 0.678004i | ||||
\(50\) | −2.20085 | − | 12.3229i | −0.311247 | − | 1.74272i | ||||
\(51\) | 0.366107 | + | 0.0680851i | 0.0512652 | + | 0.00953383i | ||||
\(52\) | −4.56770 | + | 5.49252i | −0.633426 | + | 0.761675i | ||||
\(53\) | −1.06171 | − | 1.83894i | −0.145837 | − | 0.252598i | 0.783848 | − | 0.620953i | \(-0.213254\pi\) |
−0.929685 | + | 0.368355i | \(0.879921\pi\) | |||||||
\(54\) | 5.74928 | − | 4.57666i | 0.782378 | − | 0.622804i | ||||
\(55\) | − | 9.75355i | − | 1.31517i | ||||||
\(56\) | −1.17511 | − | 7.39048i | −0.157030 | − | 0.987594i | ||||
\(57\) | 3.72672 | − | 1.31714i | 0.493616 | − | 0.174459i | ||||
\(58\) | 3.42359 | + | 1.23755i | 0.449539 | + | 0.162499i | ||||
\(59\) | 6.79199 | − | 3.92136i | 0.884242 | − | 0.510517i | 0.0121872 | − | 0.999926i | \(-0.496121\pi\) |
0.872055 | + | 0.489408i | \(0.162787\pi\) | |||||||
\(60\) | −12.0931 | − | 4.46922i | −1.56122 | − | 0.576974i | ||||
\(61\) | 0.301301 | + | 0.173956i | 0.0385776 | + | 0.0222728i | 0.519165 | − | 0.854674i | \(-0.326243\pi\) |
−0.480587 | + | 0.876947i | \(0.659576\pi\) | |||||||
\(62\) | −6.85134 | + | 1.22364i | −0.870121 | + | 0.155402i | ||||
\(63\) | 1.70629 | − | 7.75168i | 0.214972 | − | 0.976620i | ||||
\(64\) | −3.90812 | + | 6.98044i | −0.488515 | + | 0.872555i | ||||
\(65\) | 11.5125 | + | 6.64673i | 1.42795 | + | 0.824425i | ||||
\(66\) | −5.53627 | − | 3.24926i | −0.681468 | − | 0.399956i | ||||
\(67\) | −4.98736 | − | 8.63836i | −0.609303 | − | 1.05534i | −0.991356 | − | 0.131203i | \(-0.958116\pi\) |
0.382053 | − | 0.924140i | \(-0.375217\pi\) | |||||||
\(68\) | −0.423784 | − | 0.0728018i | −0.0513914 | − | 0.00882851i | ||||
\(69\) | 7.62919 | − | 2.69640i | 0.918446 | − | 0.324608i | ||||
\(70\) | −13.1840 | + | 4.48364i | −1.57579 | + | 0.535897i | ||||
\(71\) | 10.0808 | 1.19637 | 0.598183 | − | 0.801359i | \(-0.295889\pi\) | ||||
0.598183 | + | 0.801359i | \(0.295889\pi\) | |||||||
\(72\) | −6.56545 | + | 5.37539i | −0.773746 | + | 0.633496i | ||||
\(73\) | 4.45173 | + | 7.71062i | 0.521036 | + | 0.902460i | 0.999701 | + | 0.0244626i | \(0.00778746\pi\) |
−0.478665 | + | 0.877998i | \(0.658879\pi\) | |||||||
\(74\) | −7.69428 | − | 9.12879i | −0.894442 | − | 1.06120i | ||||
\(75\) | −2.80309 | + | 15.0728i | −0.323673 | + | 1.74045i | ||||
\(76\) | −4.28194 | + | 1.57989i | −0.491172 | + | 0.181226i | ||||
\(77\) | −6.85470 | + | 1.04354i | −0.781166 | + | 0.118922i | ||||
\(78\) | 7.60800 | − | 4.32040i | 0.861436 | − | 0.489188i | ||||
\(79\) | 9.70950 | + | 5.60578i | 1.09240 | + | 0.630700i | 0.934216 | − | 0.356709i | \(-0.116101\pi\) |
0.158189 | + | 0.987409i | \(0.449434\pi\) | |||||||
\(80\) | 14.0335 | + | 4.96826i | 1.56900 | + | 0.555468i | ||||
\(81\) | −8.56628 | + | 2.76024i | −0.951808 | + | 0.306693i | ||||
\(82\) | −0.437225 | + | 1.20955i | −0.0482835 | + | 0.133572i | ||||
\(83\) | − | 1.73937i | − | 0.190921i | −0.995433 | − | 0.0954603i | \(-0.969568\pi\) | ||
0.995433 | − | 0.0954603i | \(-0.0304323\pi\) | |||||||
\(84\) | −1.84707 | + | 8.97710i | −0.201532 | + | 0.979482i | ||||
\(85\) | 0.800163i | 0.0867898i | ||||||||
\(86\) | 4.96805 | + | 1.79584i | 0.535718 | + | 0.193651i | ||||
\(87\) | −3.38855 | − | 2.89767i | −0.363290 | − | 0.310663i | ||||
\(88\) | 6.44368 | + | 3.66372i | 0.686899 | + | 0.390554i | ||||
\(89\) | −15.4694 | − | 8.93127i | −1.63975 | − | 0.946712i | −0.980917 | − | 0.194426i | \(-0.937716\pi\) |
−0.658837 | − | 0.752286i | \(-0.728951\pi\) | |||||||
\(90\) | 11.9271 | + | 10.3475i | 1.25722 | + | 1.09073i | ||||
\(91\) | 3.43953 | − | 8.80199i | 0.360560 | − | 0.922699i | ||||
\(92\) | −8.76581 | + | 3.23428i | −0.913899 | + | 0.337197i | ||||
\(93\) | 8.38024 | + | 1.55848i | 0.868990 | + | 0.161607i | ||||
\(94\) | −1.26891 | + | 1.06951i | −0.130878 | + | 0.110312i | ||||
\(95\) | 4.24662 | + | 7.35536i | 0.435694 | + | 0.754644i | ||||
\(96\) | 7.49513 | − | 6.31055i | 0.764968 | − | 0.644068i | ||||
\(97\) | −8.88553 | −0.902189 | −0.451094 | − | 0.892476i | \(-0.648966\pi\) | ||||
−0.451094 | + | 0.892476i | \(0.648966\pi\) | |||||||
\(98\) | 4.56162 | + | 8.78588i | 0.460793 | + | 0.887507i | ||||
\(99\) | 4.94029 | + | 6.11600i | 0.496518 | + | 0.614681i | ||||
\(100\) | 2.99728 | − | 17.4474i | 0.299728 | − | 1.74474i | ||||
\(101\) | −7.38721 | − | 12.7950i | −0.735055 | − | 1.27315i | −0.954699 | − | 0.297573i | \(-0.903823\pi\) |
0.219644 | − | 0.975580i | \(-0.429510\pi\) | |||||||
\(102\) | 0.454185 | + | 0.266563i | 0.0449710 | + | 0.0263936i | ||||
\(103\) | −6.50151 | − | 3.75365i | −0.640613 | − | 0.369858i | 0.144238 | − | 0.989543i | \(-0.453927\pi\) |
−0.784851 | + | 0.619685i | \(0.787260\pi\) | |||||||
\(104\) | −8.71558 | + | 5.10900i | −0.854633 | + | 0.500979i | ||||
\(105\) | 17.0461 | + | 0.559193i | 1.66353 | + | 0.0545717i | ||||
\(106\) | −0.527972 | − | 2.95620i | −0.0512812 | − | 0.287131i | ||||
\(107\) | −10.9396 | − | 6.31597i | −1.05757 | − | 0.610588i | −0.132810 | − | 0.991141i | \(-0.542400\pi\) |
−0.924759 | + | 0.380554i | \(0.875733\pi\) | |||||||
\(108\) | 9.84675 | − | 3.32286i | 0.947504 | − | 0.319743i | ||||
\(109\) | 11.2275 | − | 6.48219i | 1.07540 | − | 0.620881i | 0.145747 | − | 0.989322i | \(-0.453442\pi\) |
0.929651 | + | 0.368441i | \(0.120108\pi\) | |||||||
\(110\) | 4.68914 | − | 12.9721i | 0.447092 | − | 1.23684i | ||||
\(111\) | 4.87253 | + | 13.7864i | 0.462480 | + | 1.30854i | ||||
\(112\) | 1.99018 | − | 10.3942i | 0.188055 | − | 0.982159i | ||||
\(113\) | − | 7.10498i | − | 0.668380i | −0.942506 | − | 0.334190i | \(-0.891537\pi\) | ||
0.942506 | − | 0.334190i | \(-0.108463\pi\) | |||||||
\(114\) | 5.58972 | + | 0.0398850i | 0.523525 | + | 0.00373558i | ||||
\(115\) | 8.69351 | + | 15.0576i | 0.810674 | + | 1.40413i | ||||
\(116\) | 3.95836 | + | 3.29187i | 0.367525 | + | 0.305642i | ||||
\(117\) | −10.5856 | + | 1.66334i | −0.978637 | + | 0.153776i | ||||
\(118\) | 10.9185 | − | 1.95003i | 1.00513 | − | 0.179514i | ||||
\(119\) | 0.562347 | − | 0.0856100i | 0.0515502 | − | 0.00784786i | ||||
\(120\) | −13.9351 | − | 11.7579i | −1.27209 | − | 1.07335i | ||||
\(121\) | −2.06600 | + | 3.57842i | −0.187819 | + | 0.325311i | ||||
\(122\) | 0.317095 | + | 0.376214i | 0.0287084 | + | 0.0340608i | ||||
\(123\) | 1.02374 | − | 1.19717i | 0.0923077 | − | 0.107945i | ||||
\(124\) | −9.70048 | − | 1.66644i | −0.871129 | − | 0.149651i | ||||
\(125\) | −14.3343 | −1.28210 | ||||||||
\(126\) | 5.99606 | − | 9.48933i | 0.534171 | − | 0.845376i | ||||
\(127\) | 2.53093i | 0.224584i | 0.993675 | + | 0.112292i | \(0.0358192\pi\) | ||||
−0.993675 | + | 0.112292i | \(0.964181\pi\) | |||||||
\(128\) | −8.55369 | + | 7.40503i | −0.756046 | + | 0.654518i | ||||
\(129\) | −4.91720 | − | 4.20488i | −0.432935 | − | 0.370219i | ||||
\(130\) | 12.1159 | + | 14.3748i | 1.06264 | + | 1.26076i | ||||
\(131\) | 5.04824 | + | 2.91460i | 0.441067 | + | 0.254650i | 0.704050 | − | 0.710150i | \(-0.251373\pi\) |
−0.262983 | + | 0.964800i | \(0.584706\pi\) | |||||||
\(132\) | −5.80105 | − | 6.98310i | −0.504917 | − | 0.607801i | ||||
\(133\) | 4.71493 | − | 3.77144i | 0.408836 | − | 0.327025i | ||||
\(134\) | −2.48013 | − | 13.8866i | −0.214251 | − | 1.19962i | ||||
\(135\) | −9.19654 | − | 17.0122i | −0.791512 | − | 1.46417i | ||||
\(136\) | −0.528627 | − | 0.300565i | −0.0453294 | − | 0.0257732i | ||||
\(137\) | 8.15158 | − | 4.70632i | 0.696437 | − | 0.402088i | −0.109582 | − | 0.993978i | \(-0.534951\pi\) |
0.806019 | + | 0.591890i | \(0.201618\pi\) | |||||||
\(138\) | 11.4431 | + | 0.0816511i | 0.974097 | + | 0.00695060i | ||||
\(139\) | −7.53929 | −0.639474 | −0.319737 | − | 0.947506i | \(-0.603595\pi\) | ||||
−0.319737 | + | 0.947506i | \(0.603595\pi\) | |||||||
\(140\) | −19.6901 | − | 0.375182i | −1.66412 | − | 0.0317086i | ||||
\(141\) | 1.91632 | − | 0.677288i | 0.161383 | − | 0.0570379i | ||||
\(142\) | 13.4073 | + | 4.84645i | 1.12512 | + | 0.406705i | ||||
\(143\) | 4.68031 | + | 8.10654i | 0.391387 | + | 0.677903i | ||||
\(144\) | −11.3163 | + | 3.99278i | −0.943021 | + | 0.332732i | ||||
\(145\) | 4.79018 | − | 8.29684i | 0.397803 | − | 0.689015i | ||||
\(146\) | 2.21377 | + | 12.3953i | 0.183213 | + | 1.02584i | ||||
\(147\) | −1.43078 | − | 12.0396i | −0.118008 | − | 0.993013i | ||||
\(148\) | −5.84452 | − | 15.8403i | −0.480417 | − | 1.30206i | ||||
\(149\) | −7.38721 | + | 12.7950i | −0.605184 | + | 1.04821i | 0.386838 | + | 0.922148i | \(0.373567\pi\) |
−0.992022 | + | 0.126062i | \(0.959766\pi\) | |||||||
\(150\) | −10.9745 | + | 18.6990i | −0.896064 | + | 1.52677i | ||||
\(151\) | −3.18729 | + | 1.84018i | −0.259378 | + | 0.149752i | −0.624051 | − | 0.781384i | \(-0.714514\pi\) |
0.364673 | + | 0.931136i | \(0.381181\pi\) | |||||||
\(152\) | −6.45448 | + | 0.0426373i | −0.523527 | + | 0.00345834i | ||||
\(153\) | −0.405292 | − | 0.501745i | −0.0327659 | − | 0.0405637i | ||||
\(154\) | −9.61837 | − | 1.90759i | −0.775070 | − | 0.153718i | ||||
\(155\) | 18.3158i | 1.47116i | ||||||||
\(156\) | 12.1956 | − | 2.08844i | 0.976432 | − | 0.167209i | ||||
\(157\) | −18.5989 | + | 10.7381i | −1.48436 | + | 0.856993i | −0.999842 | − | 0.0177905i | \(-0.994337\pi\) |
−0.484514 | + | 0.874784i | \(0.661003\pi\) | |||||||
\(158\) | 10.2185 | + | 12.1236i | 0.812938 | + | 0.964501i | ||||
\(159\) | −0.672448 | + | 3.61588i | −0.0533286 | + | 0.286758i | ||||
\(160\) | 16.2759 | + | 13.3545i | 1.28672 | + | 1.05577i | ||||
\(161\) | 9.65222 | − | 7.72074i | 0.760701 | − | 0.608480i | ||||
\(162\) | −12.7201 | − | 0.447256i | −0.999382 | − | 0.0351397i | ||||
\(163\) | −0.756294 | + | 1.30994i | −0.0592375 | + | 0.102602i | −0.894123 | − | 0.447821i | \(-0.852200\pi\) |
0.834886 | + | 0.550423i | \(0.185534\pi\) | |||||||
\(164\) | −1.16301 | + | 1.39848i | −0.0908158 | + | 0.109203i | ||||
\(165\) | −10.9794 | + | 12.8393i | −0.854744 | + | 0.999541i | ||||
\(166\) | 0.836223 | − | 2.31334i | 0.0649035 | − | 0.179550i | ||||
\(167\) | 7.21687 | 0.558459 | 0.279229 | − | 0.960224i | \(-0.409921\pi\) | ||||
0.279229 | + | 0.960224i | \(0.409921\pi\) | |||||||
\(168\) | −6.77244 | + | 11.0514i | −0.522505 | + | 0.852636i | ||||
\(169\) | 0.242090 | 0.0186223 | ||||||||
\(170\) | −0.384688 | + | 1.06421i | −0.0295042 | + | 0.0816209i | ||||
\(171\) | −6.38844 | − | 2.46125i | −0.488536 | − | 0.188216i | ||||
\(172\) | 5.74407 | + | 4.77690i | 0.437981 | + | 0.364235i | ||||
\(173\) | 1.33696 | − | 2.31567i | 0.101647 | − | 0.176057i | −0.810716 | − | 0.585439i | \(-0.800922\pi\) |
0.912363 | + | 0.409382i | \(0.134256\pi\) | |||||||
\(174\) | −3.11364 | − | 5.48296i | −0.236044 | − | 0.415662i | ||||
\(175\) | 3.52460 | + | 23.1521i | 0.266435 | + | 1.75013i | ||||
\(176\) | 6.80864 | + | 7.97059i | 0.513221 | + | 0.600806i | ||||
\(177\) | −13.3550 | − | 2.48364i | −1.00382 | − | 0.186682i | ||||
\(178\) | −16.2803 | − | 19.3156i | −1.22026 | − | 1.44776i | ||||
\(179\) | 7.29346 | − | 4.21088i | 0.545139 | − | 0.314736i | −0.202020 | − | 0.979381i | \(-0.564751\pi\) |
0.747159 | + | 0.664645i | \(0.231417\pi\) | |||||||
\(180\) | 10.8882 | + | 19.4962i | 0.811556 | + | 1.45316i | ||||
\(181\) | − | 6.12284i | − | 0.455107i | −0.973766 | − | 0.227553i | \(-0.926927\pi\) | ||
0.973766 | − | 0.227553i | \(-0.0730726\pi\) | |||||||
\(182\) | 8.80619 | − | 10.0529i | 0.652759 | − | 0.745174i | ||||
\(183\) | −0.200806 | − | 0.568160i | −0.0148440 | − | 0.0419996i | ||||
\(184\) | −13.2133 | + | 0.0872854i | −0.974101 | + | 0.00643477i | ||||
\(185\) | −27.2099 | + | 15.7096i | −2.00051 | + | 1.15500i | ||||
\(186\) | 10.3964 | + | 6.10166i | 0.762298 | + | 0.447395i | ||||
\(187\) | −0.281718 | + | 0.487951i | −0.0206013 | + | 0.0356825i | ||||
\(188\) | −2.20182 | + | 0.812396i | −0.160584 | + | 0.0592500i | ||||
\(189\) | −10.9720 | + | 8.28338i | −0.798098 | + | 0.602527i | ||||
\(190\) | 2.11177 | + | 11.8242i | 0.153204 | + | 0.857815i | ||||
\(191\) | 7.56478 | − | 13.1026i | 0.547368 | − | 0.948069i | −0.451086 | − | 0.892481i | \(-0.648963\pi\) |
0.998454 | − | 0.0555887i | \(-0.0177036\pi\) | |||||||
\(192\) | 13.0023 | − | 4.78958i | 0.938360 | − | 0.345658i | ||||
\(193\) | −1.52962 | − | 2.64937i | −0.110104 | − | 0.190706i | 0.805708 | − | 0.592313i | \(-0.201785\pi\) |
−0.915812 | + | 0.401607i | \(0.868452\pi\) | |||||||
\(194\) | −11.8176 | − | 4.27183i | −0.848457 | − | 0.306699i | ||||
\(195\) | −7.67263 | − | 21.7089i | −0.549448 | − | 1.55461i | ||||
\(196\) | 1.84299 | + | 13.8782i | 0.131642 | + | 0.991297i | ||||
\(197\) | −14.5736 | −1.03833 | −0.519163 | − | 0.854675i | \(-0.673756\pi\) | ||||
−0.519163 | + | 0.854675i | \(0.673756\pi\) | |||||||
\(198\) | 3.63018 | + | 10.5093i | 0.257986 | + | 0.746864i | ||||
\(199\) | 15.0386 | − | 8.68255i | 1.06606 | − | 0.615490i | 0.138957 | − | 0.990298i | \(-0.455625\pi\) |
0.927102 | + | 0.374809i | \(0.122292\pi\) | |||||||
\(200\) | 12.3744 | − | 21.7638i | 0.875001 | − | 1.53893i | ||||
\(201\) | −3.15880 | + | 16.9855i | −0.222805 | + | 1.19806i | ||||
\(202\) | −3.67354 | − | 20.5687i | −0.258469 | − | 1.44721i | ||||
\(203\) | −6.34345 | − | 2.47881i | −0.445223 | − | 0.173978i | ||||
\(204\) | 0.475907 | + | 0.572880i | 0.0333202 | + | 0.0401096i | ||||
\(205\) | 2.93126 | + | 1.69236i | 0.204728 | + | 0.118200i | ||||
\(206\) | −6.84232 | − | 8.11799i | −0.476727 | − | 0.565607i | ||||
\(207\) | −13.0782 | − | 5.03856i | −0.908994 | − | 0.350204i | ||||
\(208\) | −14.0478 | + | 2.60479i | −0.974042 | + | 0.180610i | ||||
\(209\) | 5.98054i | 0.413683i | ||||||||
\(210\) | 22.4022 | + | 8.93882i | 1.54590 | + | 0.616837i | ||||
\(211\) | −21.2686 | −1.46419 | −0.732097 | − | 0.681201i | \(-0.761458\pi\) | ||||
−0.732097 | + | 0.681201i | \(0.761458\pi\) | |||||||
\(212\) | 0.719032 | − | 4.18554i | 0.0493833 | − | 0.287464i | ||||
\(213\) | −13.2701 | − | 11.3477i | −0.909250 | − | 0.777533i | ||||
\(214\) | −11.5130 | − | 13.6595i | −0.787015 | − | 0.933744i | ||||
\(215\) | 6.95114 | − | 12.0397i | 0.474064 | − | 0.821103i | ||||
\(216\) | 14.6936 | + | 0.314577i | 0.999771 | + | 0.0214043i | ||||
\(217\) | 12.8722 | − | 1.95963i | 0.873822 | − | 0.133028i | ||||
\(218\) | 18.0488 | − | 3.22349i | 1.22242 | − | 0.218322i | ||||
\(219\) | 2.81956 | − | 15.1613i | 0.190528 | − | 1.02451i | ||||
\(220\) | 12.4730 | − | 14.9984i | 0.840929 | − | 1.01119i | ||||
\(221\) | −0.383964 | − | 0.665045i | −0.0258282 | − | 0.0447357i | ||||
\(222\) | −0.147548 | + | 20.6782i | −0.00990276 | + | 1.38783i | ||||
\(223\) | 6.68788i | 0.447854i | 0.974606 | + | 0.223927i | \(0.0718877\pi\) | ||||
−0.974606 | + | 0.223927i | \(0.928112\pi\) | |||||||
\(224\) | 7.64405 | − | 12.8673i | 0.510740 | − | 0.859735i | ||||
\(225\) | 20.6571 | − | 16.6860i | 1.37714 | − | 1.11240i | ||||
\(226\) | 3.41580 | − | 9.44953i | 0.227216 | − | 0.628574i | ||||
\(227\) | 20.7637 | − | 11.9879i | 1.37813 | − | 0.795666i | 0.386199 | − | 0.922415i | \(-0.373788\pi\) |
0.991935 | + | 0.126749i | \(0.0404544\pi\) | |||||||
\(228\) | 7.41508 | + | 2.74037i | 0.491076 | + | 0.181486i | ||||
\(229\) | 14.3077 | + | 8.26054i | 0.945478 | + | 0.545872i | 0.891673 | − | 0.452680i | \(-0.149532\pi\) |
0.0538045 | + | 0.998551i | \(0.482865\pi\) | |||||||
\(230\) | 4.32314 | + | 24.2060i | 0.285059 | + | 1.59609i | ||||
\(231\) | 10.1981 | + | 6.34252i | 0.670983 | + | 0.417307i | ||||
\(232\) | 3.68197 | + | 6.28117i | 0.241733 | + | 0.412379i | ||||
\(233\) | 13.4061 | + | 7.74002i | 0.878264 | + | 0.507066i | 0.870086 | − | 0.492901i | \(-0.164063\pi\) |
0.00817827 | + | 0.999967i | \(0.497397\pi\) | |||||||
\(234\) | −14.8784 | − | 2.87692i | −0.972629 | − | 0.188070i | ||||
\(235\) | 2.18366 | + | 3.78221i | 0.142446 | + | 0.246724i | ||||
\(236\) | 15.4590 | + | 2.65569i | 1.00629 | + | 0.172871i | ||||
\(237\) | −6.47102 | − | 18.3091i | −0.420338 | − | 1.18930i | ||||
\(238\) | 0.789072 | + | 0.156495i | 0.0511480 | + | 0.0101440i | ||||
\(239\) | −20.5460 | −1.32901 | −0.664505 | − | 0.747284i | \(-0.731358\pi\) | ||||
−0.664505 | + | 0.747284i | \(0.731358\pi\) | |||||||
\(240\) | −12.8807 | − | 22.3374i | −0.831447 | − | 1.44187i | ||||
\(241\) | −6.16667 | − | 10.6810i | −0.397230 | − | 0.688023i | 0.596153 | − | 0.802871i | \(-0.296695\pi\) |
−0.993383 | + | 0.114848i | \(0.963362\pi\) | |||||||
\(242\) | −4.46813 | + | 3.76600i | −0.287222 | + | 0.242088i | ||||
\(243\) | 14.3836 | + | 6.00938i | 0.922707 | + | 0.385502i | ||||
\(244\) | 0.240863 | + | 0.652807i | 0.0154197 | + | 0.0417917i | ||||
\(245\) | 24.8721 | − | 7.75258i | 1.58902 | − | 0.495294i | ||||
\(246\) | 1.93712 | − | 1.10004i | 0.123506 | − | 0.0701361i | ||||
\(247\) | −7.05904 | − | 4.07554i | −0.449156 | − | 0.259320i | ||||
\(248\) | −12.1004 | − | 6.87997i | −0.768374 | − | 0.436879i | ||||
\(249\) | −1.95798 | + | 2.28966i | −0.124082 | + | 0.145101i | ||||
\(250\) | −19.0644 | − | 6.89137i | −1.20574 | − | 0.435848i | ||||
\(251\) | 21.2978i | 1.34430i | 0.740413 | + | 0.672152i | \(0.234630\pi\) | ||||
−0.740413 | + | 0.672152i | \(0.765370\pi\) | |||||||
\(252\) | 12.5368 | − | 9.73801i | 0.789744 | − | 0.613437i | ||||
\(253\) | 12.2431i | 0.769719i | ||||||||
\(254\) | −1.21678 | + | 3.36611i | −0.0763473 | + | 0.211208i | ||||
\(255\) | 0.900728 | − | 1.05331i | 0.0564058 | − | 0.0659611i | ||||
\(256\) | −14.9364 | + | 5.73631i | −0.933522 | + | 0.358519i | ||||
\(257\) | 13.2299 | + | 7.63828i | 0.825258 | + | 0.476463i | 0.852226 | − | 0.523173i | \(-0.175252\pi\) |
−0.0269684 | + | 0.999636i | \(0.508585\pi\) | |||||||
\(258\) | −4.51827 | − | 7.95644i | −0.281295 | − | 0.495346i | ||||
\(259\) | 13.9518 | + | 17.4421i | 0.866922 | + | 1.08380i | ||||
\(260\) | 9.20319 | + | 24.9432i | 0.570758 | + | 1.54691i | ||||
\(261\) | 1.19874 | + | 7.62885i | 0.0742003 | + | 0.472214i | ||||
\(262\) | 5.31287 | + | 6.30339i | 0.328230 | + | 0.389425i | ||||
\(263\) | 0.249921 | + | 0.432876i | 0.0154108 | + | 0.0266923i | 0.873628 | − | 0.486594i | \(-0.161761\pi\) |
−0.858217 | + | 0.513287i | \(0.828428\pi\) | |||||||
\(264\) | −4.35812 | − | 12.0764i | −0.268224 | − | 0.743249i | ||||
\(265\) | −7.90287 | −0.485470 | ||||||||
\(266\) | 8.08396 | − | 2.74921i | 0.495660 | − | 0.168565i | ||||
\(267\) | 10.3098 | + | 29.1705i | 0.630948 | + | 1.78521i | ||||
\(268\) | 3.37763 | − | 19.6614i | 0.206322 | − | 1.20101i | ||||
\(269\) | 10.9207 | + | 18.9153i | 0.665849 | + | 1.15328i | 0.979054 | + | 0.203599i | \(0.0652638\pi\) |
−0.313205 | + | 0.949685i | \(0.601403\pi\) | |||||||
\(270\) | −4.05248 | − | 27.0473i | −0.246626 | − | 1.64605i | ||||
\(271\) | 13.6308 | + | 7.86975i | 0.828013 | + | 0.478053i | 0.853172 | − | 0.521630i | \(-0.174676\pi\) |
−0.0251590 | + | 0.999683i | \(0.508009\pi\) | |||||||
\(272\) | −0.558568 | − | 0.653892i | −0.0338681 | − | 0.0396480i | ||||
\(273\) | −14.4359 | + | 7.71491i | −0.873703 | + | 0.466927i | ||||
\(274\) | 13.1041 | − | 2.34037i | 0.791649 | − | 0.141387i | ||||
\(275\) | −20.0891 | − | 11.5985i | −1.21142 | − | 0.699414i | ||||
\(276\) | 15.1799 | + | 5.60998i | 0.913721 | + | 0.337681i | ||||
\(277\) | 10.8672 | − | 6.27417i | 0.652945 | − | 0.376978i | −0.136639 | − | 0.990621i | \(-0.543630\pi\) |
0.789584 | + | 0.613643i | \(0.210297\pi\) | |||||||
\(278\) | −10.0272 | − | 3.62461i | −0.601389 | − | 0.217389i | ||||
\(279\) | −9.27718 | − | 11.4850i | −0.555411 | − | 0.687590i | ||||
\(280\) | −26.0072 | − | 9.96525i | −1.55423 | − | 0.595538i | ||||
\(281\) | − | 22.7512i | − | 1.35722i | −0.734498 | − | 0.678610i | \(-0.762582\pi\) | ||
0.734498 | − | 0.678610i | \(-0.237418\pi\) | |||||||
\(282\) | 2.87430 | + | 0.0205093i | 0.171162 | + | 0.00122131i | ||||
\(283\) | 0.440379 | + | 0.762759i | 0.0261778 | + | 0.0453413i | 0.878818 | − | 0.477158i | \(-0.158333\pi\) |
−0.852640 | + | 0.522499i | \(0.825000\pi\) | |||||||
\(284\) | 15.5015 | + | 12.8914i | 0.919848 | + | 0.764966i | ||||
\(285\) | 2.68965 | − | 14.4628i | 0.159321 | − | 0.856700i | ||||
\(286\) | 2.32744 | + | 13.0317i | 0.137624 | + | 0.770581i | ||||
\(287\) | 0.875758 | − | 2.24113i | 0.0516944 | − | 0.132289i | ||||
\(288\) | −16.9701 | − | 0.130076i | −0.999971 | − | 0.00766478i | ||||
\(289\) | −8.47689 | + | 14.6824i | −0.498640 | + | 0.863671i | ||||
\(290\) | 10.3597 | − | 8.73176i | 0.608342 | − | 0.512747i | ||||
\(291\) | 11.6967 | + | 10.0023i | 0.685672 | + | 0.586343i | ||||
\(292\) | −3.01488 | + | 17.5498i | −0.176433 | + | 1.02703i | ||||
\(293\) | 22.1280 | 1.29273 | 0.646366 | − | 0.763028i | \(-0.276288\pi\) | ||||
0.646366 | + | 0.763028i | \(0.276288\pi\) | |||||||
\(294\) | 3.88529 | − | 16.7004i | 0.226595 | − | 0.973989i | ||||
\(295\) | − | 29.1887i | − | 1.69943i | ||||||
\(296\) | −0.157729 | − | 23.8772i | −0.00916784 | − | 1.38784i | ||||
\(297\) | 0.381399 | − | 13.6121i | 0.0221310 | − | 0.789856i | ||||
\(298\) | −15.9763 | + | 13.4657i | −0.925480 | + | 0.780049i | ||||
\(299\) | −14.4510 | − | 8.34329i | −0.835723 | − | 0.482505i | ||||
\(300\) | −23.5857 | + | 19.5933i | −1.36172 | + | 1.13122i | ||||
\(301\) | −9.20511 | − | 3.59705i | −0.530574 | − | 0.207331i | ||||
\(302\) | −5.12375 | + | 0.915093i | −0.294839 | + | 0.0526577i | ||||
\(303\) | −4.67878 | + | 25.1587i | −0.268789 | + | 1.44533i | ||||
\(304\) | −8.60487 | − | 3.04636i | −0.493523 | − | 0.174721i | ||||
\(305\) | 1.12137 | − | 0.647422i | 0.0642094 | − | 0.0370713i | ||||
\(306\) | −0.297813 | − | 0.862164i | −0.0170248 | − | 0.0492866i | ||||
\(307\) | 9.96754 | 0.568878 | 0.284439 | − | 0.958694i | \(-0.408193\pi\) | ||||
0.284439 | + | 0.958694i | \(0.408193\pi\) | |||||||
\(308\) | −11.8752 | − | 7.16121i | −0.676653 | − | 0.408048i | ||||
\(309\) | 4.33301 | + | 12.2598i | 0.246496 | + | 0.697438i | ||||
\(310\) | −8.80556 | + | 24.3598i | −0.500122 | + | 1.38355i | ||||
\(311\) | 5.87187 | + | 10.1704i | 0.332963 | + | 0.576709i | 0.983091 | − | 0.183115i | \(-0.0586181\pi\) |
−0.650128 | + | 0.759825i | \(0.725285\pi\) | |||||||
\(312\) | 17.2241 | + | 3.08560i | 0.975121 | + | 0.174688i | ||||
\(313\) | −0.343520 | + | 0.594993i | −0.0194169 | + | 0.0336310i | −0.875571 | − | 0.483090i | \(-0.839514\pi\) |
0.856154 | + | 0.516721i | \(0.172848\pi\) | |||||||
\(314\) | −29.8988 | + | 5.33988i | −1.68729 | + | 0.301347i | ||||
\(315\) | −21.8095 | − | 19.9245i | −1.22883 | − | 1.12262i | ||||
\(316\) | 7.76188 | + | 21.0369i | 0.436640 | + | 1.18342i | ||||
\(317\) | 16.4535 | − | 28.4983i | 0.924120 | − | 1.60062i | 0.131150 | − | 0.991363i | \(-0.458133\pi\) |
0.792970 | − | 0.609261i | \(-0.208534\pi\) | |||||||
\(318\) | −2.63273 | + | 4.48579i | −0.147636 | + | 0.251551i | ||||
\(319\) | 5.84224 | − | 3.37302i | 0.327103 | − | 0.188853i | ||||
\(320\) | 15.2264 | + | 25.5862i | 0.851180 | + | 1.43031i | ||||
\(321\) | 7.29082 | + | 20.6287i | 0.406934 | + | 1.15138i | ||||
\(322\) | 16.5492 | − | 5.62807i | 0.922249 | − | 0.313640i | ||||
\(323\) | − | 0.490632i | − | 0.0272995i | ||||||
\(324\) | −16.7025 | − | 6.71017i | −0.927917 | − | 0.372787i | ||||
\(325\) | 27.3802 | − | 15.8079i | 1.51878 | − | 0.876867i | ||||
\(326\) | −1.63563 | + | 1.37861i | −0.0905893 | + | 0.0763540i | ||||
\(327\) | −22.0765 | − | 4.10557i | −1.22083 | − | 0.227039i | ||||
\(328\) | −2.21913 | + | 1.30083i | −0.122531 | + | 0.0718265i | ||||
\(329\) | 2.42447 | − | 1.93932i | 0.133665 | − | 0.106918i | ||||
\(330\) | −20.7751 | + | 11.7977i | −1.14363 | + | 0.649441i | ||||
\(331\) | −0.833276 | + | 1.44328i | −0.0458010 | + | 0.0793297i | −0.888017 | − | 0.459810i | \(-0.847917\pi\) |
0.842216 | + | 0.539140i | \(0.181251\pi\) | |||||||
\(332\) | 2.22433 | − | 2.67469i | 0.122076 | − | 0.146793i | ||||
\(333\) | 9.10496 | − | 23.6329i | 0.498948 | − | 1.29508i | ||||
\(334\) | 9.59836 | + | 3.46960i | 0.525199 | + | 0.189848i | ||||
\(335\) | −37.1235 | −2.02827 | ||||||||
\(336\) | −14.3204 | + | 11.4423i | −0.781240 | + | 0.624231i | ||||
\(337\) | 9.04814 | 0.492884 | 0.246442 | − | 0.969158i | \(-0.420739\pi\) | ||||
0.246442 | + | 0.969158i | \(0.420739\pi\) | |||||||
\(338\) | 0.321976 | + | 0.116388i | 0.0175132 | + | 0.00633065i | ||||
\(339\) | −7.99794 | + | 9.35281i | −0.434388 | + | 0.507975i | ||||
\(340\) | −1.02326 | + | 1.23044i | −0.0554941 | + | 0.0667299i | ||||
\(341\) | −6.44858 | + | 11.1693i | −0.349210 | + | 0.604849i | ||||
\(342\) | −7.31327 | − | 6.34474i | −0.395456 | − | 0.343085i | ||||
\(343\) | −8.10952 | − | 16.6504i | −0.437873 | − | 0.899037i | ||||
\(344\) | 5.34299 | + | 9.11475i | 0.288075 | + | 0.491434i | ||||
\(345\) | 5.50614 | − | 29.6076i | 0.296441 | − | 1.59402i | ||||
\(346\) | 2.89142 | − | 2.43706i | 0.155444 | − | 0.131017i | ||||
\(347\) | −4.59168 | + | 2.65101i | −0.246494 | + | 0.142313i | −0.618158 | − | 0.786054i | \(-0.712121\pi\) |
0.371664 | + | 0.928367i | \(0.378787\pi\) | |||||||
\(348\) | −1.50510 | − | 8.78918i | −0.0806818 | − | 0.471150i | ||||
\(349\) | 10.7938i | 0.577779i | 0.957362 | + | 0.288890i | \(0.0932861\pi\) | ||||
−0.957362 | + | 0.288890i | \(0.906714\pi\) | |||||||
\(350\) | −6.44295 | + | 32.4864i | −0.344390 | + | 1.73647i | ||||
\(351\) | 15.8070 | + | 9.72640i | 0.843714 | + | 0.519157i | ||||
\(352\) | 5.22345 | + | 13.8741i | 0.278411 | + | 0.739493i | ||||
\(353\) | −24.5717 | + | 14.1865i | −1.30782 | + | 0.755071i | −0.981732 | − | 0.190268i | \(-0.939064\pi\) |
−0.326089 | + | 0.945339i | \(0.605731\pi\) | |||||||
\(354\) | −16.5680 | − | 9.72379i | −0.880577 | − | 0.516814i | ||||
\(355\) | 18.7591 | − | 32.4917i | 0.995628 | − | 1.72448i | ||||
\(356\) | −12.3664 | − | 33.5164i | −0.655418 | − | 1.77637i | ||||
\(357\) | −0.836628 | − | 0.520328i | −0.0442791 | − | 0.0275387i | ||||
\(358\) | 11.7247 | − | 2.09400i | 0.619667 | − | 0.110671i | ||||
\(359\) | −0.0586851 | + | 0.101646i | −0.00309728 | + | 0.00536465i | −0.867570 | − | 0.497315i | \(-0.834319\pi\) |
0.864473 | + | 0.502680i | \(0.167653\pi\) | |||||||
\(360\) | 5.10811 | + | 31.1643i | 0.269221 | + | 1.64250i | ||||
\(361\) | 6.89612 | + | 11.9444i | 0.362954 | + | 0.628654i | ||||
\(362\) | 2.94363 | − | 8.14330i | 0.154714 | − | 0.428002i | ||||
\(363\) | 6.74780 | − | 2.38489i | 0.354168 | − | 0.125174i | ||||
\(364\) | 16.5452 | − | 9.13661i | 0.867204 | − | 0.478888i | ||||
\(365\) | 33.1365 | 1.73444 | ||||||||
\(366\) | 0.00608071 | − | 0.852186i | 0.000317844 | − | 0.0445445i | ||||
\(367\) | −7.31080 | + | 4.22089i | −0.381621 | + | 0.220329i | −0.678523 | − | 0.734579i | \(-0.737380\pi\) |
0.296902 | + | 0.954908i | \(0.404046\pi\) | |||||||
\(368\) | −17.6156 | − | 6.23639i | −0.918274 | − | 0.325094i | ||||
\(369\) | −2.69526 | + | 0.423513i | −0.140309 | + | 0.0220472i | ||||
\(370\) | −43.7414 | + | 7.81215i | −2.27401 | + | 0.406134i | ||||
\(371\) | 0.845534 | + | 5.55406i | 0.0438980 | + | 0.288353i | ||||
\(372\) | 10.8936 | + | 13.1133i | 0.564806 | + | 0.679893i | ||||
\(373\) | −0.0783826 | − | 0.0452542i | −0.00405850 | − | 0.00234318i | 0.497969 | − | 0.867195i | \(-0.334079\pi\) |
−0.502028 | + | 0.864851i | \(0.667413\pi\) | |||||||
\(374\) | −0.609270 | + | 0.513529i | −0.0315046 | + | 0.0265539i | ||||
\(375\) | 18.8693 | + | 16.1358i | 0.974404 | + | 0.833249i | ||||
\(376\) | −3.31896 | + | 0.0219246i | −0.171162 | + | 0.00113067i | ||||
\(377\) | 9.19441i | 0.473536i | ||||||||
\(378\) | −18.5750 | + | 5.74186i | −0.955396 | + | 0.295329i | ||||
\(379\) | −19.7881 | −1.01645 | −0.508224 | − | 0.861225i | \(-0.669698\pi\) | ||||
−0.508224 | + | 0.861225i | \(0.669698\pi\) | |||||||
\(380\) | −2.87597 | + | 16.7412i | −0.147534 | + | 0.858808i | ||||
\(381\) | 2.84902 | − | 3.33165i | 0.145960 | − | 0.170686i | ||||
\(382\) | 16.3603 | − | 13.7894i | 0.837065 | − | 0.705528i | ||||
\(383\) | −12.4851 | + | 21.6249i | −0.637961 | + | 1.10498i | 0.347919 | + | 0.937525i | \(0.386888\pi\) |
−0.985880 | + | 0.167456i | \(0.946445\pi\) | |||||||
\(384\) | 19.5956 | − | 0.119068i | 0.999982 | − | 0.00607617i | ||||
\(385\) | −9.39230 | + | 24.0355i | −0.478676 | + | 1.22496i | ||||
\(386\) | −0.760653 | − | 4.25902i | −0.0387162 | − | 0.216778i | ||||
\(387\) | 1.73952 | + | 11.0704i | 0.0884249 | + | 0.562739i | ||||
\(388\) | −13.6636 | − | 11.3630i | −0.693664 | − | 0.576867i | ||||
\(389\) | 15.0483 | + | 26.0644i | 0.762979 | + | 1.32152i | 0.941308 | + | 0.337548i | \(0.109597\pi\) |
−0.178329 | + | 0.983971i | \(0.557069\pi\) | |||||||
\(390\) | 0.232339 | − | 32.5613i | 0.0117650 | − | 1.64881i | ||||
\(391\) | − | 1.00440i | − | 0.0507948i | ||||||
\(392\) | −4.22095 | + | 19.3438i | −0.213190 | + | 0.977011i | ||||
\(393\) | −3.36446 | − | 9.51942i | −0.169715 | − | 0.480191i | ||||
\(394\) | −19.3827 | − | 7.00644i | −0.976487 | − | 0.352979i | ||||
\(395\) | 36.1364 | − | 20.8634i | 1.81822 | − | 1.04975i | ||||
\(396\) | −0.224385 | + | 15.7225i | −0.0112758 | + | 0.790086i | ||||
\(397\) | −4.91661 | − | 2.83861i | −0.246758 | − | 0.142466i | 0.371521 | − | 0.928425i | \(-0.378836\pi\) |
−0.618279 | + | 0.785959i | \(0.712170\pi\) | |||||||
\(398\) | 24.1754 | − | 4.31769i | 1.21180 | − | 0.216426i | ||||
\(399\) | −10.4521 | − | 0.342878i | −0.523257 | − | 0.0171654i | ||||
\(400\) | 26.9210 | − | 22.9965i | 1.34605 | − | 1.14982i | ||||
\(401\) | 0.897563 | + | 0.518208i | 0.0448222 | + | 0.0258781i | 0.522244 | − | 0.852796i | \(-0.325095\pi\) |
−0.477421 | + | 0.878674i | \(0.658428\pi\) | |||||||
\(402\) | −12.3671 | + | 21.0719i | −0.616817 | + | 1.05097i | ||||
\(403\) | −8.78898 | − | 15.2230i | −0.437810 | − | 0.758310i | ||||
\(404\) | 5.00290 | − | 29.1222i | 0.248904 | − | 1.44889i | ||||
\(405\) | −7.04417 | + | 32.7467i | −0.350028 | + | 1.62720i | ||||
\(406\) | −7.24499 | − | 6.34648i | −0.359563 | − | 0.314970i | ||||
\(407\) | −22.1240 | −1.09664 | ||||||||
\(408\) | 0.357532 | + | 0.990722i | 0.0177005 | + | 0.0490480i | ||||
\(409\) | 1.83983 | + | 3.18669i | 0.0909739 | + | 0.157571i | 0.907921 | − | 0.419141i | \(-0.137669\pi\) |
−0.816947 | + | 0.576712i | \(0.804335\pi\) | |||||||
\(410\) | 3.08491 | + | 3.66006i | 0.152353 | + | 0.180757i | ||||
\(411\) | −16.0284 | − | 2.98080i | −0.790620 | − | 0.147032i | ||||
\(412\) | −5.19738 | − | 14.0864i | −0.256056 | − | 0.693985i | ||||
\(413\) | −20.5135 | + | 3.12292i | −1.00940 | + | 0.153669i | ||||
\(414\) | −14.9714 | − | 12.9887i | −0.735806 | − | 0.638360i | ||||
\(415\) | −5.60623 | − | 3.23676i | −0.275199 | − | 0.158886i | ||||
\(416\) | −19.9357 | − | 3.28933i | −0.977430 | − | 0.161273i | ||||
\(417\) | 9.92453 | + | 8.48684i | 0.486006 | + | 0.415602i | ||||
\(418\) | −2.87522 | + | 7.95404i | −0.140631 | + | 0.389045i | ||||
\(419\) | 9.81445i | 0.479467i | 0.970839 | + | 0.239734i | \(0.0770601\pi\) | ||||
−0.970839 | + | 0.239734i | \(0.922940\pi\) | |||||||
\(420\) | 25.4972 | + | 22.6587i | 1.24414 | + | 1.10563i | ||||
\(421\) | − | 33.0188i | − | 1.60924i | −0.593790 | − | 0.804620i | \(-0.702369\pi\) | ||
0.593790 | − | 0.804620i | \(-0.297631\pi\) | |||||||
\(422\) | −28.2870 | − | 10.2252i | −1.37699 | − | 0.497753i | ||||
\(423\) | −3.28500 | − | 1.26560i | −0.159722 | − | 0.0615356i | ||||
\(424\) | 2.96855 | − | 5.22103i | 0.144166 | − | 0.253556i | ||||
\(425\) | 1.64807 | + | 0.951516i | 0.0799433 | + | 0.0461553i | ||||
\(426\) | −12.1935 | − | 21.4721i | −0.590775 | − | 1.04033i | ||||
\(427\) | −0.574978 | − | 0.718819i | −0.0278252 | − | 0.0347861i | ||||
\(428\) | −8.74522 | − | 23.7020i | −0.422716 | − | 1.14568i | ||||
\(429\) | 2.96433 | − | 15.9398i | 0.143119 | − | 0.769580i | ||||
\(430\) | 15.0332 | − | 12.6708i | 0.724964 | − | 0.611042i | ||||
\(431\) | −5.27304 | − | 9.13317i | −0.253993 | − | 0.439929i | 0.710628 | − | 0.703568i | \(-0.248411\pi\) |
−0.964622 | + | 0.263638i | \(0.915077\pi\) | |||||||
\(432\) | 19.3910 | + | 7.48250i | 0.932952 | + | 0.360002i | ||||
\(433\) | 13.7135 | 0.659026 | 0.329513 | − | 0.944151i | \(-0.393115\pi\) | ||||
0.329513 | + | 0.944151i | \(0.393115\pi\) | |||||||
\(434\) | 18.0620 | + | 3.58219i | 0.867003 | + | 0.171950i | ||||
\(435\) | −15.6453 | + | 5.52953i | −0.750133 | + | 0.265121i | ||||
\(436\) | 25.5544 | + | 4.38999i | 1.22384 | + | 0.210242i | ||||
\(437\) | −5.33056 | − | 9.23280i | −0.254995 | − | 0.441665i | ||||
\(438\) | 11.0390 | − | 18.8088i | 0.527462 | − | 0.898719i | ||||
\(439\) | 8.62149 | + | 4.97762i | 0.411481 | + | 0.237569i | 0.691426 | − | 0.722447i | \(-0.256983\pi\) |
−0.279945 | + | 0.960016i | \(0.590316\pi\) | |||||||
\(440\) | 23.7996 | − | 13.9511i | 1.13460 | − | 0.665094i | ||||
\(441\) | −11.6694 | + | 17.4593i | −0.555684 | + | 0.831394i | ||||
\(442\) | −0.190939 | − | 1.06910i | −0.00908203 | − | 0.0508517i | ||||
\(443\) | 0.202164 | + | 0.116720i | 0.00960512 | + | 0.00554552i | 0.504795 | − | 0.863239i | \(-0.331568\pi\) |
−0.495190 | + | 0.868785i | \(0.664901\pi\) | |||||||
\(444\) | −10.1375 | + | 27.4308i | −0.481106 | + | 1.30181i | ||||
\(445\) | −57.5734 | + | 33.2400i | −2.72924 | + | 1.57573i | ||||
\(446\) | −3.21528 | + | 8.89480i | −0.152248 | + | 0.421181i | ||||
\(447\) | 24.1275 | − | 8.52740i | 1.14119 | − | 0.403332i | ||||
\(448\) | 16.3526 | − | 13.4384i | 0.772589 | − | 0.634906i | ||||
\(449\) | 5.83932i | 0.275575i | 0.990462 | + | 0.137787i | \(0.0439990\pi\) | ||||
−0.990462 | + | 0.137787i | \(0.956001\pi\) | |||||||
\(450\) | 35.4956 | − | 12.2611i | 1.67328 | − | 0.577993i | ||||
\(451\) | 1.19168 | + | 2.06405i | 0.0561141 | + | 0.0971924i | ||||
\(452\) | 9.08596 | − | 10.9256i | 0.427367 | − | 0.513896i | ||||
\(453\) | 6.26713 | + | 1.16550i | 0.294456 | + | 0.0547601i | ||||
\(454\) | 33.3788 | − | 5.96139i | 1.56654 | − | 0.279782i | ||||
\(455\) | −21.9695 | − | 27.4655i | −1.02994 | − | 1.28760i | ||||
\(456\) | 8.54450 | + | 7.20955i | 0.400133 | + | 0.337618i | ||||
\(457\) | 8.93416 | − | 15.4744i | 0.417923 | − | 0.723863i | −0.577808 | − | 0.816173i | \(-0.696092\pi\) |
0.995730 | + | 0.0923098i | \(0.0294250\pi\) | |||||||
\(458\) | 15.0577 | + | 17.8650i | 0.703599 | + | 0.834777i | ||||
\(459\) | −0.0312892 | + | 1.11671i | −0.00146046 | + | 0.0521237i | ||||
\(460\) | −5.88758 | + | 34.2720i | −0.274510 | + | 1.59794i | ||||
\(461\) | −0.400330 | −0.0186452 | −0.00932262 | − | 0.999957i | \(-0.502968\pi\) | ||||
−0.00932262 | + | 0.999957i | \(0.502968\pi\) | |||||||
\(462\) | 10.5140 | + | 13.3383i | 0.489157 | + | 0.620554i | ||||
\(463\) | 29.4293i | 1.36769i | 0.729626 | + | 0.683847i | \(0.239694\pi\) | ||||
−0.729626 | + | 0.683847i | \(0.760306\pi\) | |||||||
\(464\) | 1.87723 | + | 10.1240i | 0.0871481 | + | 0.469997i | ||||
\(465\) | 20.6178 | − | 24.1105i | 0.956127 | − | 1.11810i | ||||
\(466\) | 14.1089 | + | 16.7393i | 0.653580 | + | 0.775433i | ||||
\(467\) | 6.75074 | + | 3.89754i | 0.312387 | + | 0.180357i | 0.647994 | − | 0.761645i | \(-0.275608\pi\) |
−0.335607 | + | 0.942002i | \(0.608941\pi\) | |||||||
\(468\) | −18.4049 | − | 10.9792i | −0.850768 | − | 0.507515i | ||||
\(469\) | 3.97187 | + | 26.0900i | 0.183404 | + | 1.20472i | ||||
\(470\) | 1.08590 | + | 6.08011i | 0.0500887 | + | 0.280455i | ||||
\(471\) | 36.5708 | + | 6.80110i | 1.68509 | + | 0.313378i | ||||
\(472\) | 19.2835 | + | 10.9641i | 0.887595 | + | 0.504665i | ||||
\(473\) | 8.47781 | − | 4.89466i | 0.389810 | − | 0.225057i | ||||
\(474\) | 0.195953 | − | 27.4619i | 0.00900040 | − | 1.26137i | ||||
\(475\) | 20.1995 | 0.926818 | ||||||||
\(476\) | 0.974220 | + | 0.587492i | 0.0446533 | + | 0.0269277i | ||||
\(477\) | 4.95553 | − | 4.00290i | 0.226898 | − | 0.183280i | ||||
\(478\) | −27.3259 | − | 9.87774i | −1.24986 | − | 0.451797i | ||||
\(479\) | −19.3422 | − | 33.5016i | −0.883765 | − | 1.53073i | −0.847122 | − | 0.531398i | \(-0.821667\pi\) |
−0.0366434 | − | 0.999328i | \(-0.511667\pi\) | |||||||
\(480\) | −6.39224 | − | 35.9010i | −0.291764 | − | 1.63865i | ||||
\(481\) | 15.0768 | − | 26.1137i | 0.687441 | − | 1.19068i | ||||
\(482\) | −3.06658 | − | 17.1703i | −0.139679 | − | 0.782085i | ||||
\(483\) | −21.3970 | − | 0.701926i | −0.973598 | − | 0.0319387i | ||||
\(484\) | −7.75311 | + | 2.86063i | −0.352414 | + | 0.130029i | ||||
\(485\) | −16.5349 | + | 28.6393i | −0.750811 | + | 1.30044i | ||||
\(486\) | 16.2409 | + | 14.9075i | 0.736702 | + | 0.676217i | ||||
\(487\) | −8.63096 | + | 4.98308i | −0.391106 | + | 0.225805i | −0.682639 | − | 0.730756i | \(-0.739168\pi\) |
0.291533 | + | 0.956561i | \(0.405835\pi\) | |||||||
\(488\) | 0.00650031 | + | 0.984023i | 0.000294255 | + | 0.0445446i | ||||
\(489\) | 2.47014 | − | 0.873026i | 0.111704 | − | 0.0394796i | ||||
\(490\) | 36.8067 | + | 1.64672i | 1.66276 | + | 0.0743911i | ||||
\(491\) | − | 15.5075i | − | 0.699845i | −0.936779 | − | 0.349923i | \(-0.886208\pi\) | ||
0.936779 | − | 0.349923i | \(-0.113792\pi\) | |||||||
\(492\) | 3.10520 | − | 0.531749i | 0.139993 | − | 0.0239731i | ||||
\(493\) | −0.479286 | + | 0.276716i | −0.0215860 | + | 0.0124627i | ||||
\(494\) | −7.42908 | − | 8.81414i | −0.334250 | − | 0.396567i | ||||
\(495\) | 28.9060 | − | 4.54208i | 1.29923 | − | 0.204151i | ||||
\(496\) | −12.7857 | − | 14.9677i | −0.574095 | − | 0.672068i | ||||
\(497\) | −24.8419 | − | 9.70739i | −1.11431 | − | 0.435436i | ||||
\(498\) | −3.70487 | + | 2.10390i | −0.166019 | + | 0.0942781i | ||||
\(499\) | −0.275544 | + | 0.477256i | −0.0123350 | + | 0.0213649i | −0.872127 | − | 0.489279i | \(-0.837260\pi\) |
0.859792 | + | 0.510644i | \(0.170593\pi\) | |||||||
\(500\) | −22.0423 | − | 18.3309i | −0.985762 | − | 0.819782i | ||||
\(501\) | −9.50011 | − | 8.12390i | −0.424434 | − | 0.362949i | ||||
\(502\) | −10.2392 | + | 28.3258i | −0.456997 | + | 1.26424i | ||||
\(503\) | 32.2097 | 1.43616 | 0.718079 | − | 0.695962i | \(-0.245022\pi\) | ||||
0.718079 | + | 0.695962i | \(0.245022\pi\) | |||||||
\(504\) | 21.3554 | − | 6.92422i | 0.951247 | − | 0.308429i | ||||
\(505\) | −54.9868 | −2.44688 | ||||||||
\(506\) | −5.88603 | + | 16.2832i | −0.261666 | + | 0.723877i | ||||
\(507\) | −0.318681 | − | 0.272516i | −0.0141531 | − | 0.0121028i | ||||
\(508\) | −3.23660 | + | 3.89190i | −0.143601 | + | 0.172675i | ||||
\(509\) | −0.906135 | + | 1.56947i | −0.0401637 | + | 0.0695656i | −0.885408 | − | 0.464814i | \(-0.846121\pi\) |
0.845245 | + | 0.534379i | \(0.179455\pi\) | |||||||
\(510\) | 1.70435 | − | 0.967859i | 0.0754699 | − | 0.0428575i | ||||
\(511\) | −3.54530 | − | 23.2880i | −0.156835 | − | 1.03020i | ||||
\(512\) | −22.6230 | + | 0.448384i | −0.999804 | + | 0.0198160i | ||||
\(513\) | 5.63900 | + | 10.4313i | 0.248968 | + | 0.460551i | ||||
\(514\) | 13.9234 | + | 16.5193i | 0.614135 | + | 0.728633i | ||||
\(515\) | −24.1970 | + | 13.9702i | −1.06625 | + | 0.615599i | ||||
\(516\) | −2.18408 | − | 12.7542i | −0.0961489 | − | 0.561471i | ||||
\(517\) | 3.07526i | 0.135250i | ||||||||
\(518\) | 10.1702 | + | 29.9052i | 0.446854 | + | 1.31396i | ||||
\(519\) | −4.36664 | + | 1.54331i | −0.191674 | + | 0.0677438i | ||||
\(520\) | 0.248372 | + | 37.5987i | 0.0108918 | + | 1.64881i | ||||
\(521\) | −6.65560 | + | 3.84261i | −0.291587 | + | 0.168348i | −0.638657 | − | 0.769491i | \(-0.720510\pi\) |
0.347070 | + | 0.937839i | \(0.387177\pi\) | |||||||
\(522\) | −2.07335 | + | 10.7226i | −0.0907480 | + | 0.469315i | ||||
\(523\) | −4.33611 | + | 7.51035i | −0.189605 | + | 0.328405i | −0.945118 | − | 0.326728i | \(-0.894054\pi\) |
0.755514 | + | 0.655133i | \(0.227387\pi\) | |||||||
\(524\) | 4.03562 | + | 10.9377i | 0.176297 | + | 0.477814i | ||||
\(525\) | 21.4221 | − | 34.4444i | 0.934938 | − | 1.50327i | ||||
\(526\) | 0.124281 | + | 0.695872i | 0.00541893 | + | 0.0303415i | ||||
\(527\) | 0.529029 | − | 0.916305i | 0.0230449 | − | 0.0399149i | ||||
\(528\) | 0.00961483 | − | 18.1566i | 0.000418432 | − | 0.790166i | ||||
\(529\) | 0.587489 | + | 1.01756i | 0.0255430 | + | 0.0442417i | ||||
\(530\) | −10.5107 | − | 3.79940i | −0.456557 | − | 0.165035i | ||||
\(531\) | 14.7844 | + | 18.3029i | 0.641588 | + | 0.794277i | ||||
\(532\) | 12.0733 | + | 0.230048i | 0.523444 | + | 0.00997385i | ||||
\(533\) | −3.24837 | −0.140702 | ||||||||
\(534\) | −0.312196 | + | 43.7530i | −0.0135101 | + | 1.89338i | ||||
\(535\) | −40.7145 | + | 23.5065i | −1.76024 | + | 1.01627i | ||||
\(536\) | 13.9447 | − | 24.5256i | 0.602318 | − | 1.05935i | ||||
\(537\) | −14.3410 | − | 2.66701i | −0.618862 | − | 0.115090i | ||||
\(538\) | 5.43070 | + | 30.4074i | 0.234134 | + | 1.31095i | ||||
\(539\) | 17.8968 | + | 4.02924i | 0.770871 | + | 0.173551i | ||||
\(540\) | 7.61357 | − | 37.9209i | 0.327636 | − | 1.63185i | ||||
\(541\) | −10.0751 | − | 5.81687i | −0.433163 | − | 0.250087i | 0.267530 | − | 0.963549i | \(-0.413792\pi\) |
−0.700693 | + | 0.713463i | \(0.747126\pi\) | |||||||
\(542\) | 14.3453 | + | 17.0199i | 0.616185 | + | 0.731065i | ||||
\(543\) | −6.89236 | + | 8.05995i | −0.295779 | + | 0.345885i | ||||
\(544\) | −0.428522 | − | 1.13821i | −0.0183727 | − | 0.0488002i | ||||
\(545\) | − | 48.2503i | − | 2.06681i | ||||||
\(546\) | −22.9087 | + | 3.32048i | −0.980400 | + | 0.142103i | ||||
\(547\) | −27.7574 | −1.18682 | −0.593410 | − | 0.804900i | \(-0.702219\pi\) | ||||
−0.593410 | + | 0.804900i | \(0.702219\pi\) | |||||||
\(548\) | 18.5535 | + | 3.18730i | 0.792566 | + | 0.136155i | ||||
\(549\) | −0.375231 | + | 0.973955i | −0.0160145 | + | 0.0415674i | ||||
\(550\) | −21.1422 | − | 25.0839i | −0.901506 | − | 1.06958i | ||||
\(551\) | −2.93717 | + | 5.08733i | −0.125128 | + | 0.216728i | ||||
\(552\) | 17.4920 | + | 14.7591i | 0.744508 | + | 0.628190i | ||||
\(553\) | −18.5288 | − | 23.1641i | −0.787926 | − | 0.985039i | ||||
\(554\) | 17.4696 | − | 3.12004i | 0.742212 | − | 0.132558i | ||||
\(555\) | 53.5025 | + | 9.94989i | 2.27105 | + | 0.422349i | ||||
\(556\) | −11.5934 | − | 9.64136i | −0.491671 | − | 0.408885i | ||||
\(557\) | −7.71096 | − | 13.3558i | −0.326724 | − | 0.565902i | 0.655136 | − | 0.755511i | \(-0.272611\pi\) |
−0.981860 | + | 0.189609i | \(0.939278\pi\) | |||||||
\(558\) | −6.81698 | − | 19.7351i | −0.288586 | − | 0.835451i | ||||
\(559\) | 13.3422i | 0.564315i | ||||||||
\(560\) | −29.7984 | − | 25.7570i | −1.25921 | − | 1.08843i | ||||
\(561\) | 0.920124 | − | 0.325201i | 0.0388476 | − | 0.0137300i | ||||
\(562\) | 10.9379 | − | 30.2588i | 0.461388 | − | 1.27639i | ||||
\(563\) | −11.5626 | + | 6.67567i | −0.487305 | + | 0.281346i | −0.723456 | − | 0.690371i | \(-0.757447\pi\) |
0.236151 | + | 0.971716i | \(0.424114\pi\) | |||||||
\(564\) | 3.81292 | + | 1.40913i | 0.160553 | + | 0.0593351i | ||||
\(565\) | −22.9003 | − | 13.2215i | −0.963423 | − | 0.556233i | ||||
\(566\) | 0.218993 | + | 1.22618i | 0.00920497 | + | 0.0515401i | ||||
\(567\) | 23.7678 | + | 1.44698i | 0.998152 | + | 0.0607673i | ||||
\(568\) | 14.4192 | + | 24.5980i | 0.605014 | + | 1.03211i | ||||
\(569\) | 39.4279 | + | 22.7637i | 1.65290 | + | 0.954305i | 0.975870 | + | 0.218353i | \(0.0700685\pi\) |
0.677034 | + | 0.735951i | \(0.263265\pi\) | |||||||
\(570\) | 10.5303 | − | 17.9422i | 0.441068 | − | 0.751516i | ||||
\(571\) | 20.3243 | + | 35.2028i | 0.850546 | + | 1.47319i | 0.880716 | + | 0.473645i | \(0.157062\pi\) |
−0.0301698 | + | 0.999545i | \(0.509605\pi\) | |||||||
\(572\) | −3.16969 | + | 18.4510i | −0.132531 | + | 0.771473i | ||||
\(573\) | −24.7074 | + | 8.73238i | −1.03217 | + | 0.364800i | ||||
\(574\) | 2.24220 | − | 2.55964i | 0.0935875 | − | 0.106837i | ||||
\(575\) | 41.3517 | 1.72448 | ||||||||
\(576\) | −22.5074 | − | 8.33156i | −0.937810 | − | 0.347148i | ||||
\(577\) | −8.50680 | − | 14.7342i | −0.354143 | − | 0.613393i | 0.632828 | − | 0.774292i | \(-0.281894\pi\) |
−0.986971 | + | 0.160899i | \(0.948561\pi\) | |||||||
\(578\) | −18.3329 | + | 15.4520i | −0.762548 | + | 0.642720i | ||||
\(579\) | −0.968801 | + | 5.20943i | −0.0402620 | + | 0.216496i | ||||
\(580\) | 17.9762 | − | 6.63259i | 0.746420 | − | 0.275403i | ||||
\(581\) | −1.67495 | + | 4.28630i | −0.0694885 | + | 0.177826i | ||||
\(582\) | 10.7477 | + | 18.9262i | 0.445508 | + | 0.784517i | ||||
\(583\) | −4.81928 | − | 2.78241i | −0.199594 | − | 0.115236i | ||||
\(584\) | −12.4471 | + | 21.8916i | −0.515063 | + | 0.905882i | ||||
\(585\) | −14.3373 | + | 37.2140i | −0.592774 | + | 1.53861i | ||||
\(586\) | 29.4300 | + | 10.6383i | 1.21574 | + | 0.439464i | ||||
\(587\) | − | 28.5925i | − | 1.18014i | −0.807352 | − | 0.590070i | \(-0.799100\pi\) | ||
0.807352 | − | 0.590070i | \(-0.200900\pi\) | |||||||
\(588\) | 13.1963 | − | 20.3435i | 0.544207 | − | 0.838951i | ||||
\(589\) | − | 11.2306i | − | 0.462750i | ||||||
\(590\) | 14.0328 | − | 38.8206i | 0.577722 | − | 1.59822i | ||||
\(591\) | 19.1843 | + | 16.4052i | 0.789137 | + | 0.674821i | ||||
\(592\) | 11.2695 | − | 31.8322i | 0.463173 | − | 1.30830i | ||||
\(593\) | 4.49943 | + | 2.59775i | 0.184770 | + | 0.106677i | 0.589532 | − | 0.807745i | \(-0.299312\pi\) |
−0.404762 | + | 0.914422i | \(0.632646\pi\) | |||||||
\(594\) | 7.05146 | − | 17.9206i | 0.289325 | − | 0.735292i | ||||
\(595\) | 0.770526 | − | 1.97183i | 0.0315885 | − | 0.0808371i | ||||
\(596\) | −27.7221 | + | 10.2285i | −1.13554 | + | 0.418975i | ||||
\(597\) | −29.5702 | − | 5.49920i | −1.21023 | − | 0.225067i | ||||
\(598\) | −15.2085 | − | 18.0440i | −0.621922 | − | 0.737872i | ||||
\(599\) | −22.7140 | − | 39.3418i | −0.928069 | − | 1.60746i | −0.786550 | − | 0.617527i | \(-0.788135\pi\) |
−0.141519 | − | 0.989936i | \(-0.545199\pi\) | |||||||
\(600\) | −40.7884 | + | 14.7197i | −1.66518 | + | 0.600930i | ||||
\(601\) | 45.5994 | 1.86004 | 0.930019 | − | 0.367511i | \(-0.119790\pi\) | ||||
0.930019 | + | 0.367511i | \(0.119790\pi\) | |||||||
\(602\) | −10.5134 | − | 9.20951i | −0.428493 | − | 0.375352i | ||||
\(603\) | 23.2784 | − | 18.8035i | 0.947970 | − | 0.765736i | ||||
\(604\) | −7.25447 | − | 1.24624i | −0.295180 | − | 0.0507089i | ||||
\(605\) | 7.68917 | + | 13.3180i | 0.312609 | + | 0.541455i | ||||
\(606\) | −18.3181 | + | 31.2114i | −0.744121 | + | 1.26788i | ||||
\(607\) | −18.3382 | − | 10.5876i | −0.744324 | − | 0.429736i | 0.0793155 | − | 0.996850i | \(-0.474727\pi\) |
−0.823639 | + | 0.567114i | \(0.808060\pi\) | |||||||
\(608\) | −9.97980 | − | 8.18852i | −0.404734 | − | 0.332088i | ||||
\(609\) | 5.56000 | + | 10.4037i | 0.225303 | + | 0.421581i | ||||
\(610\) | 1.80266 | − | 0.321952i | 0.0729877 | − | 0.0130355i | ||||
\(611\) | −3.62984 | − | 2.09569i | −0.146848 | − | 0.0847825i | ||||
\(612\) | 0.0184081 | − | 1.28984i | 0.000744104 | − | 0.0521389i | ||||
\(613\) | 22.2592 | − | 12.8513i | 0.899039 | − | 0.519060i | 0.0221508 | − | 0.999755i | \(-0.492949\pi\) |
0.876888 | + | 0.480694i | \(0.159615\pi\) | |||||||
\(614\) | 13.2567 | + | 4.79202i | 0.534997 | + | 0.193390i | ||||
\(615\) | −1.95357 | − | 5.52744i | −0.0787756 | − | 0.222888i | ||||
\(616\) | −12.3511 | − | 15.2335i | −0.497638 | − | 0.613775i | ||||
\(617\) | 16.9888i | 0.683941i | 0.939711 | + | 0.341971i | \(0.111094\pi\) | ||||
−0.939711 | + | 0.341971i | \(0.888906\pi\) | |||||||
\(618\) | −0.131210 | + | 18.3886i | −0.00527806 | + | 0.739697i | ||||
\(619\) | −11.6456 | − | 20.1708i | −0.468076 | − | 0.810732i | 0.531258 | − | 0.847210i | \(-0.321719\pi\) |
−0.999334 | + | 0.0364781i | \(0.988386\pi\) | |||||||
\(620\) | −23.4226 | + | 28.1649i | −0.940674 | + | 1.13113i | ||||
\(621\) | 11.5439 | + | 21.3545i | 0.463242 | + | 0.856925i | ||||
\(622\) | 2.91998 | + | 16.3495i | 0.117081 | + | 0.655554i | ||||
\(623\) | 29.5206 | + | 36.9056i | 1.18272 | + | 1.47859i | ||||
\(624\) | 21.4244 | + | 12.3845i | 0.857661 | + | 0.495777i | ||||
\(625\) | −4.54562 | + | 7.87325i | −0.181825 | + | 0.314930i | ||||
\(626\) | −0.742927 | + | 0.626183i | −0.0296933 | + | 0.0250273i | ||||
\(627\) | 6.73218 | − | 7.87263i | 0.268857 | − | 0.314403i | ||||
\(628\) | −42.3323 | − | 7.27225i | −1.68924 | − | 0.290194i | ||||
\(629\) | 1.81501 | 0.0723691 | ||||||||
\(630\) | −19.4275 | − | 36.9846i | −0.774008 | − | 1.47350i | ||||
\(631\) | − | 15.0554i | − | 0.599347i | −0.954042 | − | 0.299674i | \(-0.903122\pi\) | ||
0.954042 | − | 0.299674i | \(-0.0968778\pi\) | |||||||
\(632\) | 0.209474 | + | 31.7104i | 0.00833244 | + | 1.26137i | ||||
\(633\) | 27.9975 | + | 23.9417i | 1.11280 | + | 0.951597i | ||||
\(634\) | 35.5838 | − | 29.9922i | 1.41321 | − | 1.19114i | ||||
\(635\) | 8.15754 | + | 4.70976i | 0.323722 | + | 0.186901i | ||||
\(636\) | −5.65810 | + | 4.70034i | −0.224358 | + | 0.186380i | ||||
\(637\) | −16.9520 | + | 18.3785i | −0.671661 | + | 0.728182i | ||||
\(638\) | 9.39173 | − | 1.67735i | 0.371822 | − | 0.0664068i | ||||
\(639\) | 4.69446 | + | 29.8757i | 0.185710 | + | 1.18186i | ||||
\(640\) | 7.95004 | + | 41.3496i | 0.314253 | + | 1.63448i | ||||
\(641\) | −22.9318 | + | 13.2397i | −0.905752 | + | 0.522936i | −0.879062 | − | 0.476707i | \(-0.841830\pi\) |
−0.0266904 | + | 0.999644i | \(0.508497\pi\) | |||||||
\(642\) | −0.220777 | + | 30.9410i | −0.00871339 | + | 1.22114i | ||||
\(643\) | −29.9973 | −1.18298 | −0.591490 | − | 0.806312i | \(-0.701460\pi\) | ||||
−0.591490 | + | 0.806312i | \(0.701460\pi\) | |||||||
\(644\) | 24.7160 | + | 0.470946i | 0.973945 | + | 0.0185579i | ||||
\(645\) | −22.7032 | + | 8.02403i | −0.893937 | + | 0.315946i | ||||
\(646\) | 0.235877 | − | 0.652534i | 0.00928047 | − | 0.0256736i | ||||
\(647\) | 9.22707 | + | 15.9817i | 0.362753 | + | 0.628307i | 0.988413 | − | 0.151789i | \(-0.0485034\pi\) |
−0.625659 | + | 0.780096i | \(0.715170\pi\) | |||||||
\(648\) | −18.9881 | − | 16.9544i | −0.745924 | − | 0.666031i | ||||
\(649\) | 10.2766 | − | 17.7997i | 0.403394 | − | 0.698698i | ||||
\(650\) | 44.0152 | − | 7.86103i | 1.72642 | − | 0.308335i | ||||
\(651\) | −19.1505 | − | 11.9104i | −0.750569 | − | 0.466805i | ||||
\(652\) | −2.83815 | + | 1.04718i | −0.111151 | + | 0.0410107i | ||||
\(653\) | −8.95898 | + | 15.5174i | −0.350592 | + | 0.607243i | −0.986353 | − | 0.164643i | \(-0.947353\pi\) |
0.635761 | + | 0.771886i | \(0.280686\pi\) | |||||||
\(654\) | −27.3876 | − | 16.0739i | −1.07094 | − | 0.628539i | ||||
\(655\) | 18.7883 | − | 10.8474i | 0.734121 | − | 0.423845i | ||||
\(656\) | −3.57680 | + | 0.663221i | −0.139651 | + | 0.0258944i | ||||
\(657\) | −20.7784 | + | 16.7840i | −0.810642 | + | 0.654807i | ||||
\(658\) | 4.15686 | − | 1.41367i | 0.162051 | − | 0.0551108i | ||||
\(659\) | − | 30.7250i | − | 1.19687i | −0.801170 | − | 0.598437i | \(-0.795789\pi\) | ||
0.801170 | − | 0.598437i | \(-0.204211\pi\) | |||||||
\(660\) | −33.3025 | + | 5.70288i | −1.29630 | + | 0.221984i | ||||
\(661\) | 13.0311 | − | 7.52352i | 0.506852 | − | 0.292631i | −0.224687 | − | 0.974431i | \(-0.572136\pi\) |
0.731539 | + | 0.681800i | \(0.238803\pi\) | |||||||
\(662\) | −1.80212 | + | 1.51893i | −0.0700414 | + | 0.0590350i | ||||
\(663\) | −0.243188 | + | 1.30767i | −0.00944464 | + | 0.0507856i | ||||
\(664\) | 4.24423 | − | 2.48793i | 0.164708 | − | 0.0965504i | ||||
\(665\) | −3.38195 | − | 22.2151i | −0.131147 | − | 0.861463i | ||||
\(666\) | 23.4713 | − | 27.0542i | 0.909494 | − | 1.04833i | ||||
\(667\) | −6.01287 | + | 10.4146i | −0.232819 | + | 0.403254i | ||||
\(668\) | 11.0976 | + | 9.22905i | 0.429381 | + | 0.357083i | ||||
\(669\) | 7.52842 | − | 8.80376i | 0.291066 | − | 0.340373i | ||||
\(670\) | −49.3738 | − | 17.8476i | −1.90747 | − | 0.689511i | ||||
\(671\) | 0.911768 | 0.0351984 | ||||||||
\(672\) | −24.5470 | + | 8.33348i | −0.946919 | + | 0.321471i | ||||
\(673\) | 20.6079 | 0.794376 | 0.397188 | − | 0.917737i | \(-0.369986\pi\) | ||||
0.397188 | + | 0.917737i | \(0.369986\pi\) | |||||||
\(674\) | 12.0339 | + | 4.35000i | 0.463529 | + | 0.167556i | ||||
\(675\) | −45.9756 | − | 1.28819i | −1.76960 | − | 0.0495825i | ||||
\(676\) | 0.372270 | + | 0.309588i | 0.0143181 | + | 0.0119072i | ||||
\(677\) | 5.13682 | − | 8.89723i | 0.197424 | − | 0.341948i | −0.750268 | − | 0.661133i | \(-0.770076\pi\) |
0.947692 | + | 0.319185i | \(0.103409\pi\) | |||||||
\(678\) | −15.1336 | + | 8.59402i | −0.581204 | + | 0.330051i | ||||
\(679\) | 21.8965 | + | 8.55642i | 0.840310 | + | 0.328365i | ||||
\(680\) | −1.95247 | + | 1.14452i | −0.0748739 | + | 0.0438905i | ||||
\(681\) | −40.8274 | − | 7.59269i | −1.56451 | − | 0.290953i | ||||
\(682\) | −13.9463 | + | 11.7547i | −0.534031 | + | 0.450113i | ||||
\(683\) | −30.7725 | + | 17.7665i | −1.17748 | + | 0.679817i | −0.955430 | − | 0.295218i | \(-0.904608\pi\) |
−0.222048 | + | 0.975036i | \(0.571274\pi\) | |||||||
\(684\) | −6.67624 | − | 11.9544i | −0.255273 | − | 0.457087i | ||||
\(685\) | − | 35.0316i | − | 1.33849i | ||||||
\(686\) | −2.78068 | − | 26.0436i | −0.106167 | − | 0.994348i | ||||
\(687\) | −9.53553 | − | 26.9798i | −0.363803 | − | 1.02935i | ||||
\(688\) | 2.72409 | + | 14.6912i | 0.103855 | + | 0.560097i | ||||
\(689\) | 6.56837 | − | 3.79225i | 0.250235 | − | 0.144473i | ||||
\(690\) | 21.5573 | − | 36.7306i | 0.820673 | − | 1.39831i | ||||
\(691\) | 17.0490 | − | 29.5298i | 0.648576 | − | 1.12337i | −0.334887 | − | 0.942258i | \(-0.608698\pi\) |
0.983463 | − | 0.181109i | \(-0.0579685\pi\) | |||||||
\(692\) | 5.01720 | − | 1.85118i | 0.190725 | − | 0.0703711i | ||||
\(693\) | −6.28480 | − | 19.8289i | −0.238740 | − | 0.753237i | ||||
\(694\) | −7.38138 | + | 1.31830i | −0.280193 | + | 0.0500420i | ||||
\(695\) | −14.0297 | + | 24.3002i | −0.532177 | + | 0.921758i | ||||
\(696\) | 2.22374 | − | 12.4131i | 0.0842907 | − | 0.470517i | ||||
\(697\) | −0.0977632 | − | 0.169331i | −0.00370305 | − | 0.00641386i | ||||
\(698\) | −5.18926 | + | 14.3556i | −0.196416 | + | 0.543369i | ||||
\(699\) | −8.93467 | − | 25.2798i | −0.337940 | − | 0.956169i | ||||
\(700\) | −24.1873 | + | 40.1090i | −0.914194 | + | 1.51598i | ||||
\(701\) | −42.6496 | −1.61085 | −0.805426 | − | 0.592696i | \(-0.798063\pi\) | ||||
−0.805426 | + | 0.592696i | \(0.798063\pi\) | |||||||
\(702\) | 16.3470 | + | 20.5354i | 0.616978 | + | 0.775059i | ||||
\(703\) | 16.6842 | − | 9.63261i | 0.629255 | − | 0.363301i | ||||
\(704\) | 0.276978 | + | 20.9637i | 0.0104390 | + | 0.790097i | ||||
\(705\) | 1.38305 | − | 7.43691i | 0.0520886 | − | 0.280090i | ||||
\(706\) | −39.5004 | + | 7.05471i | −1.48662 | + | 0.265507i | ||||
\(707\) | 5.88308 | + | 38.6442i | 0.221256 | + | 1.45336i | ||||
\(708\) | −17.3603 | − | 20.8978i | −0.652442 | − | 0.785386i | ||||
\(709\) | 24.7114 | + | 14.2671i | 0.928054 | + | 0.535812i | 0.886196 | − | 0.463311i | \(-0.153339\pi\) |
0.0418586 | + | 0.999124i | \(0.486672\pi\) | |||||||
\(710\) | 40.5701 | − | 34.1949i | 1.52257 | − | 1.28331i | ||||
\(711\) | −12.0919 | + | 31.3860i | −0.453483 | + | 1.17707i | ||||
\(712\) | −0.333739 | − | 50.5218i | −0.0125074 | − | 1.89338i | ||||
\(713\) | − | 22.9909i | − | 0.861017i | ||||||
\(714\) | −0.862552 | − | 1.09425i | −0.0322802 | − | 0.0409513i | ||||
\(715\) | 34.8380 | 1.30287 | ||||||||
\(716\) | 16.6004 | + | 2.85177i | 0.620385 | + | 0.106576i | ||||
\(717\) | 27.0462 | + | 23.1282i | 1.01006 | + | 0.863740i | ||||
\(718\) | −0.126918 | + | 0.106974i | −0.00473653 | + | 0.00399223i | ||||
\(719\) | 25.0072 | − | 43.3138i | 0.932612 | − | 1.61533i | 0.153775 | − | 0.988106i | \(-0.450857\pi\) |
0.778837 | − | 0.627226i | \(-0.215810\pi\) | |||||||
\(720\) | −8.18890 | + | 43.9039i | −0.305182 | + | 1.63620i | ||||
\(721\) | 12.4070 | + | 15.5108i | 0.462059 | + | 0.577651i | ||||
\(722\) | 3.42933 | + | 19.2013i | 0.127626 | + | 0.714600i | ||||
\(723\) | −3.90573 | + | 21.0019i | −0.145256 | + | 0.781068i | ||||
\(724\) | 7.82998 | − | 9.41530i | 0.290999 | − | 0.349917i | ||||
\(725\) | −11.3925 | − | 19.7324i | −0.423108 | − | 0.732844i | ||||
\(726\) | 10.1211 | + | 0.0722181i | 0.375628 | + | 0.00268026i | ||||
\(727\) | 27.7338i | 1.02859i | 0.857614 | + | 0.514295i | \(0.171946\pi\) | ||||
−0.857614 | + | 0.514295i | \(0.828054\pi\) | |||||||
\(728\) | 26.3975 | − | 4.19727i | 0.978355 | − | 0.155561i | ||||
\(729\) | −12.1695 | − | 24.1019i | −0.450723 | − | 0.892664i | ||||
\(730\) | 44.0712 | + | 15.9308i | 1.63115 | + | 0.589625i | ||||
\(731\) | −0.695503 | + | 0.401549i | −0.0257241 | + | 0.0148518i | ||||
\(732\) | 0.417786 | − | 1.13047i | 0.0154418 | − | 0.0417835i | ||||
\(733\) | 24.4018 | + | 14.0884i | 0.901300 | + | 0.520366i | 0.877622 | − | 0.479354i | \(-0.159129\pi\) |
0.0236782 | + | 0.999720i | \(0.492462\pi\) | |||||||
\(734\) | −11.7525 | + | 2.09898i | −0.433794 | + | 0.0774748i | ||||
\(735\) | −41.4679 | − | 17.7927i | −1.52957 | − | 0.656294i | ||||
\(736\) | −20.4303 | − | 16.7632i | −0.753069 | − | 0.617900i | ||||
\(737\) | −22.6384 | − | 13.0703i | −0.833897 | − | 0.481450i | ||||
\(738\) | −3.78827 | − | 0.732509i | −0.139448 | − | 0.0269640i | ||||
\(739\) | 15.9133 | + | 27.5626i | 0.585379 | + | 1.01391i | 0.994828 | + | 0.101573i | \(0.0323876\pi\) |
−0.409449 | + | 0.912333i | \(0.634279\pi\) | |||||||
\(740\) | −61.9314 | − | 10.6392i | −2.27664 | − | 0.391104i | ||||
\(741\) | 4.70459 | + | 13.3112i | 0.172827 | + | 0.488998i | ||||
\(742\) | −1.54563 | + | 7.79334i | −0.0567420 | + | 0.286102i | ||||
\(743\) | 30.9943 | 1.13707 | 0.568535 | − | 0.822659i | \(-0.307510\pi\) | ||||
0.568535 | + | 0.822659i | \(0.307510\pi\) | |||||||
\(744\) | 8.18395 | + | 22.6778i | 0.300038 | + | 0.831407i | ||||
\(745\) | 27.4934 | + | 47.6200i | 1.00728 | + | 1.74466i | ||||
\(746\) | −0.0824914 | − | 0.0978710i | −0.00302023 | − | 0.00358331i | ||||
\(747\) | 5.15486 | − | 0.809998i | 0.188606 | − | 0.0296363i | ||||
\(748\) | −1.05721 | + | 0.390073i | −0.0386553 | + | 0.0142625i | ||||
\(749\) | 20.8762 | + | 26.0988i | 0.762800 | + | 0.953628i | ||||
\(750\) | 17.3384 | + | 30.5320i | 0.633109 | + | 1.11487i | ||||
\(751\) | −32.0364 | − | 18.4962i | −1.16902 | − | 0.674936i | −0.215574 | − | 0.976488i | \(-0.569162\pi\) |
−0.953450 | + | 0.301551i | \(0.902496\pi\) | |||||||
\(752\) | −4.42472 | − | 1.56647i | −0.161353 | − | 0.0571234i | ||||
\(753\) | 23.9745 | − | 28.0359i | 0.873680 | − | 1.02168i | ||||
\(754\) | −4.42032 | + | 12.2285i | −0.160979 | + | 0.445334i | ||||
\(755\) | 13.6974i | 0.498501i | ||||||||
\(756\) | −27.4650 | − | 1.29356i | −0.998893 | − | 0.0470463i | ||||
\(757\) | − | 2.01191i | − | 0.0731242i | −0.999331 | − | 0.0365621i | \(-0.988359\pi\) | ||
0.999331 | − | 0.0365621i | \(-0.0116407\pi\) | |||||||
\(758\) | −26.3180 | − | 9.51339i | −0.955912 | − | 0.345542i | ||||
\(759\) | 13.7819 | − | 16.1165i | 0.500249 | − | 0.584993i | ||||
\(760\) | −11.8736 | + | 20.8830i | −0.430700 | + | 0.757506i | ||||
\(761\) | 35.5006 | + | 20.4963i | 1.28689 | + | 0.742989i | 0.978099 | − | 0.208140i | \(-0.0667409\pi\) |
0.308795 | + | 0.951129i | \(0.400074\pi\) | |||||||
\(762\) | 5.39090 | − | 3.06136i | 0.195292 | − | 0.110901i | ||||
\(763\) | −33.9098 | + | 5.16233i | −1.22762 | + | 0.186889i | ||||
\(764\) | 28.3884 | − | 10.4743i | 1.02706 | − | 0.378948i | ||||
\(765\) | −2.37139 | + | 0.372624i | −0.0857378 | + | 0.0134722i | ||||
\(766\) | −27.0015 | + | 22.7585i | −0.975604 | + | 0.822297i | ||||
\(767\) | 14.0064 | + | 24.2598i | 0.505741 | + | 0.875970i | ||||
\(768\) | 26.1191 | + | 9.26244i | 0.942492 | + | 0.334230i | ||||
\(769\) | −46.8470 | −1.68935 | −0.844673 | − | 0.535282i | \(-0.820205\pi\) | ||||
−0.844673 | + | 0.535282i | \(0.820205\pi\) | |||||||
\(770\) | −24.0470 | + | 27.4515i | −0.866595 | + | 0.989284i | ||||
\(771\) | −8.81723 | − | 24.9475i | −0.317545 | − | 0.898461i | ||||
\(772\) | 1.03591 | − | 6.03013i | 0.0372834 | − | 0.217029i | ||||
\(773\) | −11.2358 | − | 19.4611i | −0.404125 | − | 0.699966i | 0.590094 | − | 0.807335i | \(-0.299091\pi\) |
−0.994219 | + | 0.107369i | \(0.965757\pi\) | |||||||
\(774\) | −3.00868 | + | 15.5598i | −0.108145 | + | 0.559285i | ||||
\(775\) | 37.7247 | + | 21.7803i | 1.35511 | + | 0.782373i | ||||
\(776\) | −12.7095 | − | 21.6815i | −0.456246 | − | 0.778322i | ||||
\(777\) | 1.26842 | − | 38.6656i | 0.0455042 | − | 1.38712i | ||||
\(778\) | 7.48327 | + | 41.9000i | 0.268288 | + | 1.50219i | ||||
\(779\) | −1.79734 | − | 1.03770i | −0.0643965 | − | 0.0371794i | ||||
\(780\) | 15.9633 | − | 43.1945i | 0.571577 | − | 1.54661i | ||||
\(781\) | 22.8791 | − | 13.2093i | 0.818679 | − | 0.472664i | ||||
\(782\) | 0.482879 | − | 1.33584i | 0.0172677 | − | 0.0477696i | ||||
\(783\) | 7.00965 | − | 11.3918i | 0.250505 | − | 0.407111i | ||||
\(784\) | −14.9136 | + | 23.6978i | −0.532628 | + | 0.846349i | ||||
\(785\) | 79.9291i | 2.85279i | ||||||||
\(786\) | 0.101881 | − | 14.2782i | 0.00363398 | − | 0.509287i | ||||
\(787\) | 11.3998 | + | 19.7450i | 0.406358 | + | 0.703833i | 0.994479 | − | 0.104940i | \(-0.0334652\pi\) |
−0.588120 | + | 0.808773i | \(0.700132\pi\) | |||||||
\(788\) | −22.4103 | − | 18.6369i | −0.798335 | − | 0.663914i | ||||
\(789\) | 0.158290 | − | 0.851158i | 0.00563529 | − | 0.0303020i | ||||
\(790\) | 58.0913 | − | 10.3750i | 2.06680 | − | 0.369126i | ||||
\(791\) | −6.84182 | + | 17.5087i | −0.243267 | + | 0.622538i | ||||
\(792\) | −7.85722 | + | 20.8029i | −0.279194 | + | 0.739198i | ||||
\(793\) | −0.621340 | + | 1.07619i | −0.0220644 | + | 0.0382167i | ||||
\(794\) | −5.17434 | − | 6.13904i | −0.183630 | − | 0.217866i | ||||
\(795\) | 10.4031 | + | 8.89611i | 0.368961 | + | 0.315513i | ||||
\(796\) | 34.2288 | + | 5.88016i | 1.21321 | + | 0.208417i | ||||
\(797\) | 21.8746 | 0.774837 | 0.387419 | − | 0.921904i | \(-0.373367\pi\) | ||||
0.387419 | + | 0.921904i | \(0.373367\pi\) | |||||||
\(798\) | −13.7363 | − | 5.48097i | −0.486258 | − | 0.194024i | ||||
\(799\) | − | 0.252288i | − | 0.00892532i | ||||||
\(800\) | 46.8604 | − | 17.6424i | 1.65677 | − | 0.623754i | ||||
\(801\) | 19.2652 | − | 50.0048i | 0.680701 | − | 1.76683i | ||||
\(802\) | 0.944613 | + | 1.12073i | 0.0333555 | + | 0.0395742i | ||||
\(803\) | 20.2071 | + | 11.6666i | 0.713094 | + | 0.411705i | ||||
\(804\) | −26.5787 | + | 22.0797i | −0.937359 | + | 0.778690i | ||||
\(805\) | −6.92340 | − | 45.4778i | −0.244018 | − | 1.60288i | ||||
\(806\) | −4.37062 | − | 24.4718i | −0.153948 | − | 0.861981i | ||||
\(807\) | 6.91678 | − | 37.1928i | 0.243482 | − | 1.30925i | ||||
\(808\) | 20.6547 | − | 36.3270i | 0.726629 | − | 1.27798i | ||||
\(809\) | −24.0416 | + | 13.8804i | −0.845258 | + | 0.488010i | −0.859048 | − | 0.511895i | \(-0.828944\pi\) |
0.0137900 | + | 0.999905i | \(0.495610\pi\) | |||||||
\(810\) | −25.1121 | + | 40.1662i | −0.882348 | + | 1.41130i | ||||
\(811\) | 6.49133 | 0.227942 | 0.113971 | − | 0.993484i | \(-0.463643\pi\) | ||||
0.113971 | + | 0.993484i | \(0.463643\pi\) | |||||||
\(812\) | −6.58460 | − | 11.9239i | −0.231074 | − | 0.418445i | ||||
\(813\) | −9.08442 | − | 25.7035i | −0.318605 | − | 0.901461i | ||||
\(814\) | −29.4246 | − | 10.6364i | −1.03133 | − | 0.372805i | ||||
\(815\) | 2.81474 | + | 4.87528i | 0.0985962 | + | 0.170774i | ||||
\(816\) | −0.000788782 | 1.48954i | −2.76129e−5 | 0.0521442i | ||||||
\(817\) | −4.26220 | + | 7.38234i | −0.149115 | + | 0.258275i | ||||
\(818\) | 0.914919 | + | 5.12277i | 0.0319894 | + | 0.179114i | ||||
\(819\) | 27.6876 | + | 6.09456i | 0.967484 | + | 0.212961i | ||||
\(820\) | 2.34328 | + | 6.35094i | 0.0818308 | + | 0.221784i | ||||
\(821\) | 12.8884 | − | 22.3234i | 0.449810 | − | 0.779094i | −0.548563 | − | 0.836109i | \(-0.684825\pi\) |
0.998373 | + | 0.0570153i | \(0.0181584\pi\) | |||||||
\(822\) | −19.8845 | − | 11.6703i | −0.693550 | − | 0.407047i | ||||
\(823\) | 18.5654 | − | 10.7188i | 0.647151 | − | 0.373633i | −0.140213 | − | 0.990121i | \(-0.544779\pi\) |
0.787364 | + | 0.616489i | \(0.211445\pi\) | |||||||
\(824\) | −0.140265 | − | 21.2334i | −0.00488635 | − | 0.739700i | ||||
\(825\) | 13.3887 | + | 37.8819i | 0.466133 | + | 1.31888i | ||||
\(826\) | −28.7841 | − | 5.70868i | −1.00153 | − | 0.198630i | ||||
\(827\) | 0.550214i | 0.0191328i | 0.999954 | + | 0.00956640i | \(0.00304513\pi\) | ||||
−0.999954 | + | 0.00956640i | \(0.996955\pi\) | |||||||
\(828\) | −13.6673 | − | 24.4725i | −0.474973 | − | 0.850479i | ||||
\(829\) | −40.9798 | + | 23.6597i | −1.42329 | + | 0.821735i | −0.996578 | − | 0.0826545i | \(-0.973660\pi\) |
−0.426708 | + | 0.904389i | \(0.640327\pi\) | |||||||
\(830\) | −5.90010 | − | 7.00011i | −0.204796 | − | 0.242977i | ||||
\(831\) | −21.3680 | − | 3.97382i | −0.741247 | − | 0.137850i | ||||
\(832\) | −24.9329 | − | 13.9591i | −0.864393 | − | 0.483945i | ||||
\(833\) | −1.46822 | − | 0.330551i | −0.0508709 | − | 0.0114529i | ||||
\(834\) | 9.11936 | + | 16.0587i | 0.315777 | + | 0.556068i | ||||
\(835\) | 13.4297 | − | 23.2610i | 0.464755 | − | 0.804979i | ||||
\(836\) | −7.64801 | + | 9.19649i | −0.264512 | + | 0.318067i | ||||
\(837\) | −0.716215 | + | 25.5617i | −0.0247560 | + | 0.883543i | ||||
\(838\) | −4.71842 | + | 13.0531i | −0.162995 | + | 0.450912i | ||||
\(839\) | −13.0088 | −0.449114 | −0.224557 | − | 0.974461i | \(-0.572094\pi\) | ||||
−0.224557 | + | 0.974461i | \(0.572094\pi\) | |||||||
\(840\) | 23.0176 | + | 42.3939i | 0.794182 | + | 1.46273i | ||||
\(841\) | −22.3737 | −0.771508 | ||||||||
\(842\) | 15.8742 | − | 43.9146i | 0.547061 | − | 1.51340i | ||||
\(843\) | −25.6106 | + | 29.9491i | −0.882074 | + | 1.03150i | ||||
\(844\) | −32.7055 | − | 27.1987i | −1.12577 | − | 0.936217i | ||||
\(845\) | 0.450499 | − | 0.780288i | 0.0154977 | − | 0.0268427i | ||||
\(846\) | −3.76056 | − | 3.26254i | −0.129291 | − | 0.112168i | ||||
\(847\) | 8.53711 | − | 6.82878i | 0.293339 | − | 0.234640i | ||||
\(848\) | 6.45821 | − | 5.51674i | 0.221776 | − | 0.189446i | ||||
\(849\) | 0.278919 | − | 1.49980i | 0.00957249 | − | 0.0514731i | ||||
\(850\) | 1.73447 | + | 2.05784i | 0.0594917 | + | 0.0705832i | ||||
\(851\) | 34.1552 | − | 19.7195i | 1.17082 | − | 0.675975i | ||||
\(852\) | −5.89420 | − | 34.4198i | −0.201932 | − | 1.17920i | ||||
\(853\) | − | 30.6386i | − | 1.04904i | −0.851397 | − | 0.524522i | \(-0.824244\pi\) | ||
0.851397 | − | 0.524522i | \(-0.175756\pi\) | |||||||
\(854\) | −0.419133 | − | 1.23245i | −0.0143424 | − | 0.0421735i | ||||
\(855\) | −19.8210 | + | 16.0107i | −0.677865 | + | 0.547555i | ||||
\(856\) | −0.236012 | − | 35.7277i | −0.00806673 | − | 1.22115i | ||||
\(857\) | 37.8255 | − | 21.8385i | 1.29209 | − | 0.745991i | 0.313069 | − | 0.949731i | \(-0.398643\pi\) |
0.979025 | + | 0.203740i | \(0.0653097\pi\) | |||||||
\(858\) | 11.6058 | − | 19.7746i | 0.396214 | − | 0.675093i | ||||
\(859\) | −10.5500 | + | 18.2731i | −0.359961 | + | 0.623471i | −0.987954 | − | 0.154748i | \(-0.950543\pi\) |
0.627993 | + | 0.778219i | \(0.283877\pi\) | |||||||
\(860\) | 26.0856 | − | 9.62469i | 0.889512 | − | 0.328199i | ||||
\(861\) | −3.67562 | + | 1.96434i | −0.125265 | + | 0.0669444i | ||||
\(862\) | −2.62219 | − | 14.6821i | −0.0893123 | − | 0.500074i | ||||
\(863\) | 23.7379 | − | 41.1152i | 0.808047 | − | 1.39958i | −0.106168 | − | 0.994348i | \(-0.533858\pi\) |
0.914215 | − | 0.405230i | \(-0.132809\pi\) | |||||||
\(864\) | 22.1925 | + | 19.2741i | 0.755006 | + | 0.655718i | ||||
\(865\) | −4.97582 | − | 8.61838i | −0.169183 | − | 0.293034i | ||||
\(866\) | 18.2387 | + | 6.59291i | 0.619777 | + | 0.224036i | ||||
\(867\) | 27.6865 | − | 9.78527i | 0.940282 | − | 0.332325i | ||||
\(868\) | 22.3000 | + | 13.4478i | 0.756913 | + | 0.456447i | ||||
\(869\) | 29.3820 | 0.996716 | ||||||||
\(870\) | −23.4664 | − | 0.167443i | −0.795586 | − | 0.00567685i | ||||
\(871\) | 30.8547 | − | 17.8140i | 1.04547 | − | 0.603603i | ||||
\(872\) | 31.8765 | + | 18.1242i | 1.07948 | + | 0.613764i | ||||
\(873\) | −4.13785 | − | 26.3335i | −0.140045 | − | 0.891253i | ||||
\(874\) | −2.65080 | − | 14.8422i | −0.0896646 | − | 0.502046i | ||||
\(875\) | 35.3237 | + | 13.8033i | 1.19416 | + | 0.466638i | ||||
\(876\) | 23.7242 | − | 19.7084i | 0.801568 | − | 0.665884i | ||||
\(877\) | 33.6478 | + | 19.4266i | 1.13621 | + | 0.655989i | 0.945488 | − | 0.325656i | \(-0.105585\pi\) |
0.190718 | + | 0.981645i | \(0.438918\pi\) | |||||||
\(878\) | 9.07342 | + | 10.7651i | 0.306213 | + | 0.363303i | ||||
\(879\) | −29.1287 | − | 24.9091i | −0.982488 | − | 0.840162i | ||||
\(880\) | 38.3603 | − | 7.11288i | 1.29313 | − | 0.239775i | ||||
\(881\) | − | 45.6144i | − | 1.53679i | −0.639978 | − | 0.768393i | \(-0.721056\pi\) | ||
0.639978 | − | 0.768393i | \(-0.278944\pi\) | |||||||
\(882\) | −23.9139 | + | 17.6104i | −0.805221 | + | 0.592974i | ||||
\(883\) | 56.6501 | 1.90643 | 0.953214 | − | 0.302295i | \(-0.0977527\pi\) | ||||
0.953214 | + | 0.302295i | \(0.0977527\pi\) | |||||||
\(884\) | 0.260035 | − | 1.51368i | 0.00874592 | − | 0.0509106i | ||||
\(885\) | −32.8571 | + | 38.4232i | −1.10448 | + | 1.29158i | ||||
\(886\) | 0.212762 | + | 0.252429i | 0.00714787 | + | 0.00848051i | ||||
\(887\) | −3.46905 | + | 6.00857i | −0.116479 | + | 0.201748i | −0.918370 | − | 0.395723i | \(-0.870494\pi\) |
0.801891 | + | 0.597471i | \(0.203828\pi\) | |||||||
\(888\) | −26.6705 | + | 31.6089i | −0.895004 | + | 1.06073i | ||||
\(889\) | 2.43719 | − | 6.23694i | 0.0817407 | − | 0.209180i | ||||
\(890\) | −92.5524 | + | 16.5297i | −3.10236 | + | 0.554077i | ||||
\(891\) | −15.8250 | + | 17.4893i | −0.530157 | + | 0.585915i | ||||
\(892\) | −8.55257 | + | 10.2842i | −0.286361 | + | 0.344340i | ||||
\(893\) | −1.33894 | − | 2.31912i | −0.0448060 | − | 0.0776064i | ||||
\(894\) | 36.1889 | + | 0.258223i | 1.21034 | + | 0.00863627i | ||||
\(895\) | − | 31.3438i | − | 1.04771i | ||||||
\(896\) | 28.2095 | − | 10.0112i | 0.942413 | − | 0.334452i | ||||
\(897\) | 9.63105 | + | 27.2501i | 0.321571 | + | 0.909854i | ||||
\(898\) | −2.80732 | + | 7.76623i | −0.0936816 | + | 0.259162i | ||||
\(899\) | −10.9709 | + | 6.33407i | −0.365901 | + | 0.211253i | ||||
\(900\) | 53.1034 | + | 0.757870i | 1.77011 | + | 0.0252623i | ||||
\(901\) | 0.395365 | + | 0.228264i | 0.0131715 | + | 0.00760457i | ||||
\(902\) | 0.592603 | + | 3.31808i | 0.0197315 | + | 0.110480i | ||||
\(903\) | 8.06824 | + | 15.0971i | 0.268494 | + | 0.502400i | ||||
\(904\) | 17.3368 | − | 10.1627i | 0.576614 | − | 0.338006i | ||||
\(905\) | −19.7347 | − | 11.3939i | −0.656005 | − | 0.378745i | ||||
\(906\) | 7.77488 | + | 4.56311i | 0.258303 | + | 0.151599i | ||||
\(907\) | −23.0866 | − | 39.9871i | −0.766577 | − | 1.32775i | −0.939409 | − | 0.342799i | \(-0.888625\pi\) |
0.172832 | − | 0.984951i | \(-0.444708\pi\) | |||||||
\(908\) | 47.2594 | + | 8.11868i | 1.56836 | + | 0.269428i | ||||
\(909\) | 34.4797 | − | 27.8515i | 1.14362 | − | 0.923774i | ||||
\(910\) | −16.0148 | − | 47.0909i | −0.530884 | − | 1.56105i | ||||
\(911\) | −33.7577 | −1.11844 | −0.559221 | − | 0.829018i | \(-0.688900\pi\) | ||||
−0.559221 | + | 0.829018i | \(0.688900\pi\) | |||||||
\(912\) | 7.89801 | + | 13.6965i | 0.261529 | + | 0.453536i | ||||
\(913\) | −2.27917 | − | 3.94764i | −0.0754295 | − | 0.130648i | ||||
\(914\) | 19.3218 | − | 16.2856i | 0.639110 | − | 0.538679i | ||||
\(915\) | −2.20493 | − | 0.410053i | −0.0728928 | − | 0.0135559i | ||||
\(916\) | 11.4377 | + | 30.9994i | 0.377913 | + | 1.02425i | ||||
\(917\) | −9.63366 | − | 12.0437i | −0.318131 | − | 0.397717i | ||||
\(918\) | −0.578488 | + | 1.47017i | −0.0190929 | + | 0.0485229i | ||||
\(919\) | −1.09773 | − | 0.633774i | −0.0362107 | − | 0.0209063i | 0.481785 | − | 0.876289i | \(-0.339988\pi\) |
−0.517996 | + | 0.855383i | \(0.673322\pi\) | |||||||
\(920\) | −24.3071 | + | 42.7508i | −0.801381 | + | 1.40945i | ||||
\(921\) | −13.1210 | − | 11.2203i | −0.432352 | − | 0.369721i | ||||
\(922\) | −0.532435 | − | 0.192464i | −0.0175348 | − | 0.00633845i | ||||
\(923\) | 36.0067i | 1.18517i | ||||||||
\(924\) | 7.57099 | + | 22.7945i | 0.249067 | + | 0.749886i | ||||
\(925\) | 74.7247i | 2.45693i | ||||||||
\(926\) | −14.1485 | + | 39.1406i | −0.464948 | + | 1.28624i | ||||
\(927\) | 8.09679 | − | 21.0161i | 0.265934 | − | 0.690260i | ||||
\(928\) | −2.37056 | + | 14.3673i | −0.0778176 | + | 0.471631i | ||||
\(929\) | −28.9002 | − | 16.6855i | −0.948183 | − | 0.547434i | −0.0556673 | − | 0.998449i | \(-0.517729\pi\) |
−0.892516 | + | 0.451015i | \(0.851062\pi\) | |||||||
\(930\) | 39.0128 | − | 22.1544i | 1.27928 | − | 0.726472i | ||||
\(931\) | −15.2507 | + | 4.75361i | −0.499821 | + | 0.155793i | ||||
\(932\) | 10.7170 | + | 29.0461i | 0.351047 | + | 0.951435i | ||||
\(933\) | 3.71902 | − | 19.9979i | 0.121755 | − | 0.654702i | ||||
\(934\) | 7.10461 | + | 8.42918i | 0.232470 | + | 0.275811i | ||||
\(935\) | 1.04849 | + | 1.81603i | 0.0342892 | + | 0.0593906i | ||||
\(936\) | −19.1999 | − | 23.4506i | −0.627570 | − | 0.766508i | ||||
\(937\) | −9.31498 | −0.304307 | −0.152154 | − | 0.988357i | \(-0.548621\pi\) | ||||
−0.152154 | + | 0.988357i | \(0.548621\pi\) | |||||||
\(938\) | −7.26056 | + | 36.6089i | −0.237066 | + | 1.19532i | ||||
\(939\) | 1.12197 | − | 0.396541i | 0.0366142 | − | 0.0129406i | ||||
\(940\) | −1.47886 | + | 8.60854i | −0.0482350 | + | 0.280779i | ||||
\(941\) | −20.0007 | − | 34.6422i | −0.652003 | − | 1.12930i | −0.982636 | − | 0.185543i | \(-0.940596\pi\) |
0.330633 | − | 0.943759i | \(-0.392738\pi\) | |||||||
\(942\) | 45.3690 | + | 26.6272i | 1.47820 | + | 0.867563i | ||||
\(943\) | −3.67945 | − | 2.12433i | −0.119819 | − | 0.0691778i | ||||
\(944\) | 20.3757 | + | 23.8529i | 0.663172 | + | 0.776347i | ||||
\(945\) | 6.28085 | + | 50.7787i | 0.204316 | + | 1.65183i | ||||
\(946\) | 13.6285 | − | 2.43403i | 0.443102 | − | 0.0791373i | ||||
\(947\) | −28.9295 | − | 16.7025i | −0.940083 | − | 0.542757i | −0.0500965 | − | 0.998744i | \(-0.515953\pi\) |
−0.889986 | + | 0.455987i | \(0.849286\pi\) | |||||||
\(948\) | 13.4633 | − | 36.4298i | 0.437267 | − | 1.18319i | ||||
\(949\) | −27.5410 | + | 15.9008i | −0.894018 | + | 0.516161i | ||||
\(950\) | 26.8651 | + | 9.71117i | 0.871620 | + | 0.315072i | ||||
\(951\) | −53.7389 | + | 18.9930i | −1.74260 | + | 0.615891i | ||||
\(952\) | 1.01326 | + | 1.24973i | 0.0328398 | + | 0.0405038i | ||||
\(953\) | 35.4084i | 1.14699i | 0.819209 | + | 0.573495i | \(0.194413\pi\) | ||||
−0.819209 | + | 0.573495i | \(0.805587\pi\) | |||||||
\(954\) | 8.51523 | − | 2.94137i | 0.275691 | − | 0.0952305i | ||||
\(955\) | −28.1543 | − | 48.7646i | −0.911051 | − | 1.57799i | ||||
\(956\) | −31.5943 | − | 26.2746i | −1.02183 | − | 0.849780i | ||||
\(957\) | −11.4875 | − | 2.13634i | −0.371339 | − | 0.0690582i | ||||
\(958\) | −9.61853 | − | 53.8557i | −0.310761 | − | 1.74000i | ||||
\(959\) | −24.6198 | + | 3.74805i | −0.795016 | + | 0.121031i | ||||
\(960\) | 8.75824 | − | 50.8210i | 0.282671 | − | 1.64024i | ||||
\(961\) | −3.39046 | + | 5.87244i | −0.109370 | + | 0.189434i | ||||
\(962\) | 32.6064 | − | 27.4826i | 1.05127 | − | 0.886074i | ||||
\(963\) | 13.6238 | − | 35.3622i | 0.439022 | − | 1.13953i | ||||
\(964\) | 4.17630 | − | 24.3106i | 0.134510 | − | 0.782991i | ||||
\(965\) | −11.3857 | −0.366519 | ||||||||
\(966\) | −28.1203 | − | 11.2204i | −0.904757 | − | 0.361012i | ||||
\(967\) | 59.2726i | 1.90608i | 0.302849 | + | 0.953039i | \(0.402062\pi\) | ||||
−0.302849 | + | 0.953039i | \(0.597938\pi\) | |||||||
\(968\) | −11.6868 | + | 0.0772015i | −0.375629 | + | 0.00248135i | ||||
\(969\) | −0.552295 | + | 0.645855i | −0.0177423 | + | 0.0207479i | ||||
\(970\) | −35.7599 | + | 30.1405i | −1.14818 | + | 0.967754i | ||||
\(971\) | −49.2281 | − | 28.4218i | −1.57980 | − | 0.912101i | −0.994886 | − | 0.101009i | \(-0.967793\pi\) |
−0.584919 | − | 0.811092i | \(-0.698874\pi\) | |||||||
\(972\) | 14.4332 | + | 27.6348i | 0.462946 | + | 0.886386i | ||||
\(973\) | 18.5790 | + | 7.26005i | 0.595614 | + | 0.232746i | ||||
\(974\) | −13.8747 | + | 2.47801i | −0.444576 | + | 0.0794004i | ||||
\(975\) | −53.8373 | − | 10.0122i | −1.72417 | − | 0.320645i | ||||
\(976\) | −0.464436 | + | 1.31186i | −0.0148662 | + | 0.0419917i | ||||
\(977\) | 31.5116 | − | 18.1932i | 1.00814 | − | 0.582052i | 0.0974966 | − | 0.995236i | \(-0.468916\pi\) |
0.910648 | + | 0.413183i | \(0.135583\pi\) | |||||||
\(978\) | 3.70498 | + | 0.0264366i | 0.118472 | + | 0.000845349i | ||||
\(979\) | −46.8121 | −1.49612 | ||||||||
\(980\) | 48.1608 | + | 19.8854i | 1.53844 | + | 0.635215i | ||||
\(981\) | 24.4393 | + | 30.2555i | 0.780287 | + | 0.965984i | ||||
\(982\) | 7.45544 | − | 20.6248i | 0.237913 | − | 0.658165i | ||||
\(983\) | 7.30275 | + | 12.6487i | 0.232921 | + | 0.403432i | 0.958667 | − | 0.284532i | \(-0.0918381\pi\) |
−0.725745 | + | 0.687964i | \(0.758505\pi\) | |||||||
\(984\) | 4.38552 | + | 0.785643i | 0.139805 | + | 0.0250454i | ||||
\(985\) | −27.1197 | + | 46.9727i | −0.864105 | + | 1.49667i | ||||
\(986\) | −0.770480 | + | 0.137606i | −0.0245371 | + | 0.00438228i | ||||
\(987\) | −5.37456 | − | 0.176312i | −0.171074 | − | 0.00561206i | ||||
\(988\) | −5.64308 | − | 15.2943i | −0.179530 | − | 0.486577i | ||||
\(989\) | −8.72540 | + | 15.1128i | −0.277452 | + | 0.480560i | ||||
\(990\) | 40.6283 | + | 7.85599i | 1.29125 | + | 0.249680i | ||||
\(991\) | −36.4541 | + | 21.0468i | −1.15800 | + | 0.668572i | −0.950824 | − | 0.309731i | \(-0.899761\pi\) |
−0.207177 | + | 0.978303i | \(0.566428\pi\) | |||||||
\(992\) | −9.80893 | − | 26.0537i | −0.311434 | − | 0.827206i | ||||
\(993\) | 2.72157 | − | 0.961890i | 0.0863665 | − | 0.0305246i | ||||
\(994\) | −28.3725 | − | 24.8537i | −0.899920 | − | 0.788313i | ||||
\(995\) | − | 64.6287i | − | 2.04887i | ||||||
\(996\) | −5.93890 | + | 1.01701i | −0.188181 | + | 0.0322250i | ||||
\(997\) | −11.0158 | + | 6.36000i | −0.348875 | + | 0.201423i | −0.664190 | − | 0.747564i | \(-0.731223\pi\) |
0.315315 | + | 0.948987i | \(0.397890\pi\) | |||||||
\(998\) | −0.595917 | + | 0.502274i | −0.0188634 | + | 0.0158992i | ||||
\(999\) | −38.5887 | + | 20.8605i | −1.22089 | + | 0.659997i |
(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 | 168.2.v.a.107.26 | yes | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.107.3 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.527.22 | 56 | |||
7.4 | even | 3 | inner | 168.2.v.a.11.6 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.107.23 | yes | 56 | |
8.5 | even | 2 | 672.2.bd.a.527.21 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.527.15 | 56 | |||
21.11 | odd | 6 | inner | 168.2.v.a.11.23 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.527.16 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.107.6 | yes | 56 | |
28.11 | odd | 6 | 672.2.bd.a.431.16 | 56 | |||
56.11 | odd | 6 | inner | 168.2.v.a.11.3 | ✓ | 56 | |
56.53 | even | 6 | 672.2.bd.a.431.15 | 56 | |||
84.11 | even | 6 | 672.2.bd.a.431.21 | 56 | |||
168.11 | even | 6 | inner | 168.2.v.a.11.26 | yes | 56 | |
168.53 | odd | 6 | 672.2.bd.a.431.22 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.3 | ✓ | 56 | 56.11 | odd | 6 | inner | |
168.2.v.a.11.6 | yes | 56 | 7.4 | even | 3 | inner | |
168.2.v.a.11.23 | yes | 56 | 21.11 | odd | 6 | inner | |
168.2.v.a.11.26 | yes | 56 | 168.11 | even | 6 | inner | |
168.2.v.a.107.3 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.107.6 | yes | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.107.23 | yes | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.107.26 | yes | 56 | 1.1 | even | 1 | trivial | |
672.2.bd.a.431.15 | 56 | 56.53 | even | 6 | |||
672.2.bd.a.431.16 | 56 | 28.11 | odd | 6 | |||
672.2.bd.a.431.21 | 56 | 84.11 | even | 6 | |||
672.2.bd.a.431.22 | 56 | 168.53 | odd | 6 | |||
672.2.bd.a.527.15 | 56 | 12.11 | even | 2 | |||
672.2.bd.a.527.16 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.527.21 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.527.22 | 56 | 4.3 | odd | 2 |