Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(95,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 20, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.bc (of order \(30\), degree \(8\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 95.10 | ||
Character | \(\chi\) | \(=\) | 462.95 |
Dual form | 462.2.bc.a.107.10 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.104528 | − | 0.994522i | 0.0739128 | − | 0.703233i | ||||
\(3\) | 0.398305 | − | 1.68563i | 0.229962 | − | 0.973200i | ||||
\(4\) | −0.978148 | − | 0.207912i | −0.489074 | − | 0.103956i | ||||
\(5\) | −1.53261 | + | 3.44230i | −0.685405 | + | 1.53944i | 0.149328 | + | 0.988788i | \(0.452289\pi\) |
−0.834732 | + | 0.550656i | \(0.814378\pi\) | |||||||
\(6\) | −1.63476 | − | 0.572320i | −0.667389 | − | 0.233649i | ||||
\(7\) | −2.01818 | + | 1.71083i | −0.762800 | + | 0.646634i | ||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | −2.68271 | − | 1.34279i | −0.894235 | − | 0.447597i | ||||
\(10\) | 3.26324 | + | 1.88403i | 1.03193 | + | 0.595784i | ||||
\(11\) | 3.30190 | − | 0.312180i | 0.995560 | − | 0.0941257i | ||||
\(12\) | −0.740064 | + | 1.56598i | −0.213638 | + | 0.452061i | ||||
\(13\) | −3.08311 | + | 4.24354i | −0.855101 | + | 1.17695i | 0.127615 | + | 0.991824i | \(0.459268\pi\) |
−0.982716 | + | 0.185122i | \(0.940732\pi\) | |||||||
\(14\) | 1.49050 | + | 2.18596i | 0.398354 | + | 0.584221i | ||||
\(15\) | 5.19200 | + | 3.95450i | 1.34057 | + | 1.02105i | ||||
\(16\) | 0.913545 | + | 0.406737i | 0.228386 | + | 0.101684i | ||||
\(17\) | −0.289150 | − | 2.75108i | −0.0701291 | − | 0.667234i | −0.971960 | − | 0.235145i | \(-0.924443\pi\) |
0.901831 | − | 0.432089i | \(-0.142223\pi\) | |||||||
\(18\) | −1.61585 | + | 2.52765i | −0.380861 | + | 0.595773i | ||||
\(19\) | 1.51179 | + | 7.11240i | 0.346828 | + | 1.63170i | 0.713010 | + | 0.701153i | \(0.247331\pi\) |
−0.366183 | + | 0.930543i | \(0.619335\pi\) | |||||||
\(20\) | 2.21481 | − | 3.04843i | 0.495248 | − | 0.681650i | ||||
\(21\) | 2.07998 | + | 4.08334i | 0.453889 | + | 0.891058i | ||||
\(22\) | 0.0346730 | − | 3.31644i | 0.00739231 | − | 0.707068i | ||||
\(23\) | 0.229484 | − | 0.132493i | 0.0478507 | − | 0.0276266i | −0.475884 | − | 0.879508i | \(-0.657872\pi\) |
0.523734 | + | 0.851882i | \(0.324538\pi\) | |||||||
\(24\) | 1.48005 | + | 0.899699i | 0.302113 | + | 0.183650i | ||||
\(25\) | −6.15489 | − | 6.83570i | −1.23098 | − | 1.36714i | ||||
\(26\) | 3.89802 | + | 3.50979i | 0.764464 | + | 0.688327i | ||||
\(27\) | −3.33199 | + | 3.98721i | −0.641241 | + | 0.767339i | ||||
\(28\) | 2.32978 | − | 1.25384i | 0.440287 | − | 0.236954i | ||||
\(29\) | 1.53615 | + | 4.72778i | 0.285255 | + | 0.877926i | 0.986322 | + | 0.164830i | \(0.0527076\pi\) |
−0.701067 | + | 0.713096i | \(0.747292\pi\) | |||||||
\(30\) | 4.47555 | − | 4.75020i | 0.817120 | − | 0.867265i | ||||
\(31\) | −4.96641 | + | 2.21119i | −0.891993 | + | 0.397141i | −0.800968 | − | 0.598708i | \(-0.795681\pi\) |
−0.0910253 | + | 0.995849i | \(0.529014\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0.788944 | − | 5.69013i | 0.137338 | − | 0.990524i | ||||
\(34\) | −2.76623 | −0.474405 | ||||||||
\(35\) | −2.79612 | − | 9.56923i | −0.472630 | − | 1.61749i | ||||
\(36\) | 2.34490 | + | 1.87121i | 0.390817 | + | 0.311869i | ||||
\(37\) | −2.79332 | + | 3.10230i | −0.459219 | + | 0.510014i | −0.927632 | − | 0.373495i | \(-0.878159\pi\) |
0.468413 | + | 0.883510i | \(0.344826\pi\) | |||||||
\(38\) | 7.23146 | − | 0.760057i | 1.17310 | − | 0.123298i | ||||
\(39\) | 5.92502 | + | 6.88721i | 0.948763 | + | 1.10284i | ||||
\(40\) | −2.80022 | − | 2.52133i | −0.442754 | − | 0.398657i | ||||
\(41\) | 2.20706 | − | 6.79262i | 0.344684 | − | 1.06083i | −0.617069 | − | 0.786909i | \(-0.711680\pi\) |
0.961753 | − | 0.273919i | \(-0.0883201\pi\) | |||||||
\(42\) | 4.27839 | − | 1.64176i | 0.660170 | − | 0.253329i | ||||
\(43\) | − | 5.36775i | − | 0.818575i | −0.912405 | − | 0.409287i | \(-0.865777\pi\) | ||
0.912405 | − | 0.409287i | \(-0.134223\pi\) | |||||||
\(44\) | −3.29465 | − | 0.381146i | −0.496687 | − | 0.0574599i | ||||
\(45\) | 8.73384 | − | 7.17671i | 1.30196 | − | 1.06984i | ||||
\(46\) | −0.107779 | − | 0.242076i | −0.0158912 | − | 0.0356921i | ||||
\(47\) | −0.756757 | − | 3.56026i | −0.110384 | − | 0.519317i | −0.998246 | − | 0.0592064i | \(-0.981143\pi\) |
0.887861 | − | 0.460111i | \(-0.152190\pi\) | |||||||
\(48\) | 1.04948 | − | 1.37790i | 0.151479 | − | 0.198882i | ||||
\(49\) | 1.14610 | − | 6.90554i | 0.163729 | − | 0.986505i | ||||
\(50\) | −7.44161 | + | 5.40665i | −1.05240 | + | 0.764615i | ||||
\(51\) | −4.75247 | − | 0.608368i | −0.665479 | − | 0.0851886i | ||||
\(52\) | 3.89802 | − | 3.50979i | 0.540558 | − | 0.486720i | ||||
\(53\) | −1.07021 | − | 2.40372i | −0.147004 | − | 0.330176i | 0.825003 | − | 0.565128i | \(-0.191173\pi\) |
−0.972007 | + | 0.234952i | \(0.924507\pi\) | |||||||
\(54\) | 3.61708 | + | 3.73051i | 0.492223 | + | 0.507658i | ||||
\(55\) | −3.98591 | + | 11.8446i | −0.537460 | + | 1.59712i | ||||
\(56\) | −1.00345 | − | 2.44808i | −0.134091 | − | 0.327138i | ||||
\(57\) | 12.5910 | + | 0.284590i | 1.66772 | + | 0.0376948i | ||||
\(58\) | 4.86245 | − | 1.03355i | 0.638471 | − | 0.135711i | ||||
\(59\) | −2.19124 | + | 10.3090i | −0.285275 | + | 1.34211i | 0.569019 | + | 0.822324i | \(0.307323\pi\) |
−0.854294 | + | 0.519790i | \(0.826010\pi\) | |||||||
\(60\) | −4.25636 | − | 4.94757i | −0.549494 | − | 0.638728i | ||||
\(61\) | 1.48497 | − | 3.33529i | 0.190131 | − | 0.427040i | −0.793177 | − | 0.608991i | \(-0.791575\pi\) |
0.983308 | + | 0.181951i | \(0.0582412\pi\) | |||||||
\(62\) | 1.67994 | + | 5.17033i | 0.213353 | + | 0.656633i | ||||
\(63\) | 7.71148 | − | 1.87967i | 0.971555 | − | 0.236816i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −9.88232 | − | 17.1167i | −1.22575 | − | 2.12306i | ||||
\(66\) | −5.57649 | − | 1.37940i | −0.686419 | − | 0.169793i | ||||
\(67\) | −4.38733 | + | 7.59908i | −0.535998 | + | 0.928375i | 0.463117 | + | 0.886297i | \(0.346731\pi\) |
−0.999114 | + | 0.0420780i | \(0.986602\pi\) | |||||||
\(68\) | −0.289150 | + | 2.75108i | −0.0350646 | + | 0.333617i | ||||
\(69\) | −0.131929 | − | 0.439597i | −0.0158824 | − | 0.0529213i | ||||
\(70\) | −9.80908 | + | 1.78054i | −1.17241 | + | 0.212816i | ||||
\(71\) | 1.09739 | + | 1.51043i | 0.130236 | + | 0.179255i | 0.869155 | − | 0.494540i | \(-0.164663\pi\) |
−0.738919 | + | 0.673794i | \(0.764663\pi\) | |||||||
\(72\) | 2.10607 | − | 2.13646i | 0.248203 | − | 0.251784i | ||||
\(73\) | −2.95581 | + | 13.9060i | −0.345952 | + | 1.62758i | 0.369723 | + | 0.929142i | \(0.379453\pi\) |
−0.715675 | + | 0.698434i | \(0.753881\pi\) | |||||||
\(74\) | 2.79332 | + | 3.10230i | 0.324717 | + | 0.360635i | ||||
\(75\) | −13.9740 | + | 7.65218i | −1.61358 | + | 0.883598i | ||||
\(76\) | − | 7.27129i | − | 0.834075i | ||||||
\(77\) | −6.12974 | + | 6.27903i | −0.698549 | + | 0.715562i | ||||
\(78\) | 7.46882 | − | 5.17265i | 0.845677 | − | 0.585688i | ||||
\(79\) | −1.17968 | − | 0.123989i | −0.132724 | − | 0.0139499i | 0.0379334 | − | 0.999280i | \(-0.487923\pi\) |
−0.170658 | + | 0.985330i | \(0.554589\pi\) | |||||||
\(80\) | −2.80022 | + | 2.52133i | −0.313074 | + | 0.281893i | ||||
\(81\) | 5.39382 | + | 7.20463i | 0.599314 | + | 0.800514i | ||||
\(82\) | −6.52471 | − | 2.90499i | −0.720533 | − | 0.320802i | ||||
\(83\) | 1.44300 | − | 1.04840i | 0.158390 | − | 0.115077i | −0.505767 | − | 0.862670i | \(-0.668791\pi\) |
0.664157 | + | 0.747593i | \(0.268791\pi\) | |||||||
\(84\) | −1.18555 | − | 4.42656i | −0.129355 | − | 0.482978i | ||||
\(85\) | 9.91319 | + | 3.22099i | 1.07524 | + | 0.349365i | ||||
\(86\) | −5.33835 | − | 0.561083i | −0.575649 | − | 0.0605032i | ||||
\(87\) | 8.58114 | − | 0.706281i | 0.919995 | − | 0.0757213i | ||||
\(88\) | −0.723443 | + | 3.23676i | −0.0771193 | + | 0.345040i | ||||
\(89\) | −0.505210 | + | 0.291683i | −0.0535521 | + | 0.0309183i | −0.526537 | − | 0.850152i | \(-0.676510\pi\) |
0.472985 | + | 0.881071i | \(0.343177\pi\) | |||||||
\(90\) | −6.22446 | − | 9.43616i | −0.656115 | − | 0.994659i | ||||
\(91\) | −1.03771 | − | 13.8389i | −0.108782 | − | 1.45071i | ||||
\(92\) | −0.252016 | + | 0.0818849i | −0.0262745 | + | 0.00853709i | ||||
\(93\) | 1.74910 | + | 9.25226i | 0.181373 | + | 0.959414i | ||||
\(94\) | −3.61986 | + | 0.380463i | −0.373360 | + | 0.0392417i | ||||
\(95\) | −26.8000 | − | 5.69652i | −2.74962 | − | 0.584450i | ||||
\(96\) | −1.26065 | − | 1.18776i | −0.128664 | − | 0.121225i | ||||
\(97\) | 3.28502 | + | 2.38671i | 0.333543 | + | 0.242334i | 0.741933 | − | 0.670474i | \(-0.233909\pi\) |
−0.408389 | + | 0.912808i | \(0.633909\pi\) | |||||||
\(98\) | −6.74791 | − | 1.86165i | −0.681642 | − | 0.188055i | ||||
\(99\) | −9.27722 | − | 3.59628i | −0.932396 | − | 0.361439i | ||||
\(100\) | 4.59917 | + | 7.96599i | 0.459917 | + | 0.796599i | ||||
\(101\) | 7.42956 | − | 3.30785i | 0.739269 | − | 0.329144i | −0.00232090 | − | 0.999997i | \(-0.500739\pi\) |
0.741590 | + | 0.670854i | \(0.234072\pi\) | |||||||
\(102\) | −1.10180 | + | 4.66284i | −0.109095 | + | 0.461690i | ||||
\(103\) | 2.90213 | − | 3.22315i | 0.285956 | − | 0.317586i | −0.583004 | − | 0.812470i | \(-0.698123\pi\) |
0.868959 | + | 0.494884i | \(0.164789\pi\) | |||||||
\(104\) | −3.08311 | − | 4.24354i | −0.302324 | − | 0.416113i | ||||
\(105\) | −17.2439 | + | 0.901750i | −1.68283 | + | 0.0880018i | ||||
\(106\) | −2.50242 | + | 0.813085i | −0.243056 | + | 0.0789738i | ||||
\(107\) | 8.03480 | − | 1.70785i | 0.776754 | − | 0.165104i | 0.197556 | − | 0.980292i | \(-0.436699\pi\) |
0.579197 | + | 0.815187i | \(0.303366\pi\) | |||||||
\(108\) | 4.08816 | − | 3.20732i | 0.393384 | − | 0.308625i | ||||
\(109\) | −4.98391 | − | 2.87746i | −0.477372 | − | 0.275611i | 0.241949 | − | 0.970289i | \(-0.422213\pi\) |
−0.719321 | + | 0.694678i | \(0.755547\pi\) | |||||||
\(110\) | 11.3631 | + | 5.20217i | 1.08343 | + | 0.496008i | ||||
\(111\) | 4.11673 | + | 5.94417i | 0.390743 | + | 0.564196i | ||||
\(112\) | −2.53956 | + | 0.742056i | −0.239966 | + | 0.0701177i | ||||
\(113\) | −9.48961 | − | 3.08336i | −0.892708 | − | 0.290058i | −0.173484 | − | 0.984837i | \(-0.555502\pi\) |
−0.719224 | + | 0.694778i | \(0.755502\pi\) | |||||||
\(114\) | 1.59915 | − | 12.4923i | 0.149774 | − | 1.17001i | ||||
\(115\) | 0.104370 | + | 0.993012i | 0.00973253 | + | 0.0925988i | ||||
\(116\) | −0.519619 | − | 4.94385i | −0.0482454 | − | 0.459025i | ||||
\(117\) | 13.9693 | − | 7.24419i | 1.29146 | − | 0.669726i | ||||
\(118\) | 10.0235 | + | 3.25682i | 0.922733 | + | 0.299814i | ||||
\(119\) | 5.29019 | + | 5.05748i | 0.484951 | + | 0.463618i | ||||
\(120\) | −5.36537 | + | 3.71588i | −0.489789 | + | 0.339212i | ||||
\(121\) | 10.8051 | − | 2.06157i | 0.982281 | − | 0.187416i | ||||
\(122\) | −3.16180 | − | 1.82546i | −0.286256 | − | 0.165270i | ||||
\(123\) | −10.5708 | − | 6.42582i | −0.953134 | − | 0.579396i | ||||
\(124\) | 5.31761 | − | 1.13029i | 0.477535 | − | 0.101503i | ||||
\(125\) | 15.0453 | − | 4.88853i | 1.34570 | − | 0.437243i | ||||
\(126\) | −1.06330 | − | 7.86571i | −0.0947264 | − | 0.700733i | ||||
\(127\) | 3.60329 | + | 4.95950i | 0.319740 | + | 0.440085i | 0.938388 | − | 0.345584i | \(-0.112319\pi\) |
−0.618648 | + | 0.785669i | \(0.712319\pi\) | |||||||
\(128\) | −0.669131 | + | 0.743145i | −0.0591433 | + | 0.0656853i | ||||
\(129\) | −9.04806 | − | 2.13800i | −0.796637 | − | 0.188241i | ||||
\(130\) | −18.0559 | + | 8.03901i | −1.58361 | + | 0.705068i | ||||
\(131\) | 4.22261 | + | 7.31377i | 0.368931 | + | 0.639007i | 0.989399 | − | 0.145225i | \(-0.0463906\pi\) |
−0.620468 | + | 0.784232i | \(0.713057\pi\) | |||||||
\(132\) | −1.95475 | + | 5.40176i | −0.170139 | + | 0.470162i | ||||
\(133\) | −15.2192 | − | 11.7677i | −1.31967 | − | 1.02039i | ||||
\(134\) | 7.09885 | + | 5.15762i | 0.613247 | + | 0.445550i | ||||
\(135\) | −8.61855 | − | 17.5805i | −0.741766 | − | 1.51309i | ||||
\(136\) | 2.70578 | + | 0.575132i | 0.232019 | + | 0.0493171i | ||||
\(137\) | 7.95044 | − | 0.835625i | 0.679252 | − | 0.0713923i | 0.241382 | − | 0.970430i | \(-0.422399\pi\) |
0.437871 | + | 0.899038i | \(0.355733\pi\) | |||||||
\(138\) | −0.450980 | + | 0.0852558i | −0.0383899 | + | 0.00725745i | ||||
\(139\) | 13.4844 | − | 4.38135i | 1.14373 | − | 0.371621i | 0.324954 | − | 0.945730i | \(-0.394651\pi\) |
0.818779 | + | 0.574109i | \(0.194651\pi\) | |||||||
\(140\) | 0.745461 | + | 9.94146i | 0.0630029 | + | 0.840207i | ||||
\(141\) | −6.30271 | − | 0.142457i | −0.530784 | − | 0.0119971i | ||||
\(142\) | 1.61686 | − | 0.933496i | 0.135684 | − | 0.0783372i | ||||
\(143\) | −8.85538 | + | 14.9742i | −0.740524 | + | 1.25221i | ||||
\(144\) | −1.90461 | − | 2.31786i | −0.158718 | − | 0.193155i | ||||
\(145\) | −18.6287 | − | 1.95796i | −1.54703 | − | 0.162600i | ||||
\(146\) | 13.5209 | + | 4.39320i | 1.11900 | + | 0.363584i | ||||
\(147\) | −11.1837 | − | 4.68242i | −0.922415 | − | 0.386199i | ||||
\(148\) | 3.37728 | − | 2.45374i | 0.277611 | − | 0.201696i | ||||
\(149\) | 20.2342 | + | 9.00883i | 1.65765 | + | 0.738032i | 0.999885 | − | 0.0151921i | \(-0.00483597\pi\) |
0.657763 | + | 0.753225i | \(0.271503\pi\) | |||||||
\(150\) | 6.14958 | + | 14.6973i | 0.502111 | + | 1.20003i | ||||
\(151\) | 5.87033 | − | 5.28567i | 0.477721 | − | 0.430142i | −0.394764 | − | 0.918782i | \(-0.629174\pi\) |
0.872485 | + | 0.488641i | \(0.162507\pi\) | |||||||
\(152\) | −7.23146 | − | 0.760057i | −0.586549 | − | 0.0616488i | ||||
\(153\) | −2.91842 | + | 7.76860i | −0.235940 | + | 0.628054i | ||||
\(154\) | 5.60390 | + | 6.75250i | 0.451575 | + | 0.544132i | ||||
\(155\) | − | 20.4848i | − | 1.64538i | ||||||
\(156\) | −4.36361 | − | 7.96859i | −0.349369 | − | 0.637998i | ||||
\(157\) | −8.99385 | − | 9.98869i | −0.717788 | − | 0.797184i | 0.268313 | − | 0.963332i | \(-0.413534\pi\) |
−0.986101 | + | 0.166148i | \(0.946867\pi\) | |||||||
\(158\) | −0.246620 | + | 1.16026i | −0.0196200 | + | 0.0923050i | ||||
\(159\) | −4.47805 | + | 0.846557i | −0.355133 | + | 0.0671364i | ||||
\(160\) | 2.21481 | + | 3.04843i | 0.175096 | + | 0.241000i | ||||
\(161\) | −0.236467 | + | 0.660002i | −0.0186362 | + | 0.0520155i | ||||
\(162\) | 7.72897 | − | 4.61119i | 0.607245 | − | 0.362289i | ||||
\(163\) | 1.75110 | − | 16.6606i | 0.137157 | − | 1.30496i | −0.681984 | − | 0.731367i | \(-0.738882\pi\) |
0.819140 | − | 0.573593i | \(-0.194451\pi\) | |||||||
\(164\) | −3.57109 | + | 6.18531i | −0.278855 | + | 0.482992i | ||||
\(165\) | 18.3780 | + | 11.4365i | 1.43072 | + | 0.890333i | ||||
\(166\) | −0.891822 | − | 1.54468i | −0.0692188 | − | 0.119891i | ||||
\(167\) | 20.3525 | + | 14.7870i | 1.57492 | + | 1.14425i | 0.922240 | + | 0.386617i | \(0.126357\pi\) |
0.652683 | + | 0.757631i | \(0.273643\pi\) | |||||||
\(168\) | −4.52624 | + | 0.716359i | −0.349207 | + | 0.0552683i | ||||
\(169\) | −4.48482 | − | 13.8029i | −0.344986 | − | 1.06176i | ||||
\(170\) | 4.23956 | − | 9.52220i | 0.325159 | − | 0.730319i | ||||
\(171\) | 5.49479 | − | 21.1105i | 0.420197 | − | 1.61436i | ||||
\(172\) | −1.11602 | + | 5.25046i | −0.0850956 | + | 0.400344i | ||||
\(173\) | −10.3111 | + | 2.19169i | −0.783937 | + | 0.166631i | −0.582457 | − | 0.812862i | \(-0.697909\pi\) |
−0.201480 | + | 0.979493i | \(0.564575\pi\) | |||||||
\(174\) | 0.194562 | − | 8.60796i | 0.0147497 | − | 0.652568i | ||||
\(175\) | 24.1164 | + | 3.26568i | 1.82303 | + | 0.246862i | ||||
\(176\) | 3.14341 | + | 1.05781i | 0.236943 | + | 0.0797357i | ||||
\(177\) | 16.5043 | + | 7.79974i | 1.24054 | + | 0.586264i | ||||
\(178\) | 0.237276 | + | 0.532931i | 0.0177846 | + | 0.0399449i | ||||
\(179\) | −9.55734 | + | 8.60547i | −0.714349 | + | 0.643203i | −0.943953 | − | 0.330081i | \(-0.892924\pi\) |
0.229603 | + | 0.973284i | \(0.426257\pi\) | |||||||
\(180\) | −10.0351 | + | 5.20401i | −0.747972 | + | 0.387884i | ||||
\(181\) | 10.5832 | − | 7.68916i | 0.786645 | − | 0.571531i | −0.120321 | − | 0.992735i | \(-0.538392\pi\) |
0.906966 | + | 0.421204i | \(0.138392\pi\) | |||||||
\(182\) | −13.8716 | − | 0.414533i | −1.02823 | − | 0.0307273i | ||||
\(183\) | −5.03060 | − | 3.83157i | −0.371873 | − | 0.283238i | ||||
\(184\) | 0.0550935 | + | 0.259194i | 0.00406155 | + | 0.0191081i | ||||
\(185\) | −6.39797 | − | 14.3701i | −0.470388 | − | 1.05651i | ||||
\(186\) | 9.38440 | − | 0.772394i | 0.688098 | − | 0.0566347i | ||||
\(187\) | −1.81357 | − | 8.99351i | −0.132622 | − | 0.657671i | ||||
\(188\) | 3.63980i | 0.265460i | ||||||||
\(189\) | −0.0969048 | − | 13.7474i | −0.00704879 | − | 0.999975i | ||||
\(190\) | −8.46667 | + | 26.0577i | −0.614237 | + | 1.89043i | ||||
\(191\) | −16.7393 | − | 15.0722i | −1.21122 | − | 1.09058i | −0.993413 | − | 0.114590i | \(-0.963445\pi\) |
−0.217802 | − | 0.975993i | \(-0.569889\pi\) | |||||||
\(192\) | −1.31302 | + | 1.12959i | −0.0947594 | + | 0.0815209i | ||||
\(193\) | 3.31851 | − | 0.348790i | 0.238872 | − | 0.0251065i | 0.0156640 | − | 0.999877i | \(-0.495014\pi\) |
0.223208 | + | 0.974771i | \(0.428347\pi\) | |||||||
\(194\) | 2.71701 | − | 3.01755i | 0.195070 | − | 0.216647i | ||||
\(195\) | −32.7886 | + | 9.84029i | −2.34804 | + | 0.704678i | ||||
\(196\) | −2.55680 | + | 6.51635i | −0.182628 | + | 0.465453i | ||||
\(197\) | −1.43581 | −0.102297 | −0.0511485 | − | 0.998691i | \(-0.516288\pi\) | ||||
−0.0511485 | + | 0.998691i | \(0.516288\pi\) | |||||||
\(198\) | −4.54631 | + | 8.85048i | −0.323092 | + | 0.628977i | ||||
\(199\) | −10.4515 | + | 18.1025i | −0.740885 | + | 1.28325i | 0.211209 | + | 0.977441i | \(0.432260\pi\) |
−0.952093 | + | 0.305809i | \(0.901073\pi\) | |||||||
\(200\) | 8.40310 | − | 3.74130i | 0.594189 | − | 0.264550i | ||||
\(201\) | 11.0618 | + | 10.4222i | 0.780236 | + | 0.735124i | ||||
\(202\) | −2.51313 | − | 7.73463i | −0.176823 | − | 0.544206i | ||||
\(203\) | −11.1887 | − | 6.91341i | −0.785290 | − | 0.485226i | ||||
\(204\) | 4.52213 | + | 1.58317i | 0.316612 | + | 0.110844i | ||||
\(205\) | 19.9997 | + | 18.0078i | 1.39684 | + | 1.25772i | ||||
\(206\) | −2.90213 | − | 3.22315i | −0.202201 | − | 0.224567i | ||||
\(207\) | −0.793547 | + | 0.0472896i | −0.0551553 | + | 0.00328686i | ||||
\(208\) | −4.54256 | + | 2.62265i | −0.314970 | + | 0.181848i | ||||
\(209\) | 7.21212 | + | 23.0125i | 0.498873 | + | 1.59181i | ||||
\(210\) | −0.905668 | + | 17.2437i | −0.0624970 | + | 1.18993i | ||||
\(211\) | −3.29041 | + | 4.52886i | −0.226521 | + | 0.311779i | −0.907116 | − | 0.420880i | \(-0.861721\pi\) |
0.680595 | + | 0.732660i | \(0.261721\pi\) | |||||||
\(212\) | 0.547057 | + | 2.57370i | 0.0375720 | + | 0.176763i | ||||
\(213\) | 2.98312 | − | 1.24818i | 0.204400 | − | 0.0855242i | ||||
\(214\) | −0.858629 | − | 8.16931i | −0.0586947 | − | 0.558442i | ||||
\(215\) | 18.4774 | + | 8.22668i | 1.26015 | + | 0.561055i | ||||
\(216\) | −2.76242 | − | 4.40102i | −0.187959 | − | 0.299452i | ||||
\(217\) | 6.24013 | − | 12.9593i | 0.423608 | − | 0.879732i | ||||
\(218\) | −3.38266 | + | 4.65583i | −0.229103 | + | 0.315333i | ||||
\(219\) | 22.2631 | + | 10.5213i | 1.50440 | + | 0.710960i | ||||
\(220\) | 6.36144 | − | 10.7570i | 0.428888 | − | 0.725239i | ||||
\(221\) | 12.5658 | + | 7.25485i | 0.845266 | + | 0.488014i | ||||
\(222\) | 6.34192 | − | 3.47285i | 0.425642 | − | 0.233082i | ||||
\(223\) | −5.92954 | + | 18.2493i | −0.397072 | + | 1.22206i | 0.530265 | + | 0.847832i | \(0.322092\pi\) |
−0.927336 | + | 0.374229i | \(0.877908\pi\) | |||||||
\(224\) | 0.472535 | + | 2.60321i | 0.0315726 | + | 0.173934i | ||||
\(225\) | 7.33284 | + | 26.6029i | 0.488856 | + | 1.77353i | ||||
\(226\) | −4.05841 | + | 9.11533i | −0.269961 | + | 0.606343i | ||||
\(227\) | −8.27141 | − | 1.75814i | −0.548993 | − | 0.116692i | −0.0749394 | − | 0.997188i | \(-0.523876\pi\) |
−0.474053 | + | 0.880496i | \(0.657210\pi\) | |||||||
\(228\) | −12.2567 | − | 2.89619i | −0.811721 | − | 0.191805i | ||||
\(229\) | −2.17655 | + | 20.7085i | −0.143830 | + | 1.36845i | 0.649824 | + | 0.760084i | \(0.274842\pi\) |
−0.793655 | + | 0.608369i | \(0.791824\pi\) | |||||||
\(230\) | 0.998482 | 0.0658379 | ||||||||
\(231\) | 8.14263 | + | 12.8335i | 0.535746 | + | 0.844379i | ||||
\(232\) | −4.97108 | −0.326367 | ||||||||
\(233\) | 0.484382 | − | 4.60859i | 0.0317329 | − | 0.301919i | −0.967132 | − | 0.254277i | \(-0.918163\pi\) |
0.998864 | − | 0.0476422i | \(-0.0151707\pi\) | |||||||
\(234\) | −5.74432 | − | 14.6500i | −0.375518 | − | 0.957698i | ||||
\(235\) | 13.4153 | + | 2.85151i | 0.875118 | + | 0.186012i | ||||
\(236\) | 4.28671 | − | 9.62811i | 0.279041 | − | 0.626737i | ||||
\(237\) | −0.678872 | + | 1.93912i | −0.0440975 | + | 0.125959i | ||||
\(238\) | 5.58275 | − | 4.73256i | 0.361876 | − | 0.306766i | ||||
\(239\) | −2.97902 | + | 9.16848i | −0.192697 | + | 0.593060i | 0.807299 | + | 0.590143i | \(0.200929\pi\) |
−0.999996 | + | 0.00291718i | \(0.999071\pi\) | |||||||
\(240\) | 3.13469 | + | 5.72440i | 0.202343 | + | 0.369508i | ||||
\(241\) | 6.38371 | + | 3.68564i | 0.411211 | + | 0.237413i | 0.691310 | − | 0.722558i | \(-0.257034\pi\) |
−0.280099 | + | 0.959971i | \(0.590367\pi\) | |||||||
\(242\) | −0.920839 | − | 10.9614i | −0.0591938 | − | 0.704625i | ||||
\(243\) | 14.2927 | − | 6.22236i | 0.916879 | − | 0.399164i | ||||
\(244\) | −2.14596 | + | 2.95366i | −0.137381 | + | 0.189089i | ||||
\(245\) | 22.0144 | + | 14.5287i | 1.40645 | + | 0.928207i | ||||
\(246\) | −7.49556 | + | 9.84118i | −0.477900 | + | 0.627451i | ||||
\(247\) | −34.8427 | − | 15.5130i | −2.21699 | − | 0.987068i | ||||
\(248\) | −0.568259 | − | 5.40663i | −0.0360845 | − | 0.343321i | ||||
\(249\) | −1.19246 | − | 2.84995i | −0.0755692 | − | 0.180608i | ||||
\(250\) | −3.28908 | − | 15.4739i | −0.208020 | − | 0.978657i | ||||
\(251\) | −0.509553 | + | 0.701340i | −0.0321627 | + | 0.0442682i | −0.824796 | − | 0.565431i | \(-0.808710\pi\) |
0.792633 | + | 0.609699i | \(0.208710\pi\) | |||||||
\(252\) | −7.93377 | + | 0.235286i | −0.499780 | + | 0.0148216i | ||||
\(253\) | 0.716371 | − | 0.509117i | 0.0450379 | − | 0.0320079i | ||||
\(254\) | 5.30898 | − | 3.06514i | 0.333115 | − | 0.192324i | ||||
\(255\) | 9.37788 | − | 15.4270i | 0.587265 | − | 0.966079i | ||||
\(256\) | 0.669131 | + | 0.743145i | 0.0418207 | + | 0.0464466i | ||||
\(257\) | −11.2013 | − | 10.0857i | −0.698720 | − | 0.629131i | 0.241220 | − | 0.970471i | \(-0.422453\pi\) |
−0.939940 | + | 0.341340i | \(0.889119\pi\) | |||||||
\(258\) | −3.07207 | + | 8.77501i | −0.191259 | + | 0.546308i | ||||
\(259\) | 0.329913 | − | 11.0399i | 0.0204998 | − | 0.685986i | ||||
\(260\) | 6.10761 | + | 18.7973i | 0.378778 | + | 1.16576i | ||||
\(261\) | 2.22738 | − | 14.7460i | 0.137872 | − | 0.912752i | ||||
\(262\) | 7.71509 | − | 3.43498i | 0.476640 | − | 0.212214i | ||||
\(263\) | 2.39857 | − | 4.15444i | 0.147902 | − | 0.256174i | −0.782550 | − | 0.622588i | \(-0.786081\pi\) |
0.930452 | + | 0.366414i | \(0.119415\pi\) | |||||||
\(264\) | 5.16784 | + | 2.50868i | 0.318058 | + | 0.154398i | ||||
\(265\) | 9.91454 | 0.609045 | ||||||||
\(266\) | −13.2941 | + | 13.9058i | −0.815111 | + | 0.852617i | ||||
\(267\) | 0.290442 | + | 0.967776i | 0.0177748 | + | 0.0592270i | ||||
\(268\) | 5.87140 | − | 6.52084i | 0.358653 | − | 0.398324i | ||||
\(269\) | 27.7083 | − | 2.91226i | 1.68941 | − | 0.177564i | 0.789531 | − | 0.613711i | \(-0.210324\pi\) |
0.899875 | + | 0.436148i | \(0.143657\pi\) | |||||||
\(270\) | −18.3851 | + | 6.73367i | −1.11888 | + | 0.409798i | ||||
\(271\) | 0.729017 | + | 0.656410i | 0.0442847 | + | 0.0398741i | 0.690976 | − | 0.722878i | \(-0.257181\pi\) |
−0.646691 | + | 0.762752i | \(0.723848\pi\) | |||||||
\(272\) | 0.854812 | − | 2.63084i | 0.0518306 | − | 0.159518i | ||||
\(273\) | −23.7406 | − | 3.76291i | −1.43685 | − | 0.227742i | ||||
\(274\) | − | 7.99424i | − | 0.482950i | ||||||
\(275\) | −22.4568 | − | 20.6494i | −1.35420 | − | 1.24520i | ||||
\(276\) | 0.0376485 | + | 0.457421i | 0.00226618 | + | 0.0275335i | ||||
\(277\) | −2.07442 | − | 4.65921i | −0.124640 | − | 0.279945i | 0.840439 | − | 0.541907i | \(-0.182297\pi\) |
−0.965078 | + | 0.261961i | \(0.915631\pi\) | |||||||
\(278\) | −2.94784 | − | 13.8685i | −0.176800 | − | 0.831778i | ||||
\(279\) | 16.2926 | + | 0.736884i | 0.975411 | + | 0.0441161i | ||||
\(280\) | 9.96492 | + | 0.297788i | 0.595518 | + | 0.0177963i | ||||
\(281\) | 18.2736 | − | 13.2765i | 1.09011 | − | 0.792010i | 0.110691 | − | 0.993855i | \(-0.464694\pi\) |
0.979418 | + | 0.201844i | \(0.0646935\pi\) | |||||||
\(282\) | −0.800489 | + | 6.25329i | −0.0476684 | + | 0.372378i | ||||
\(283\) | 3.34226 | − | 3.00939i | 0.198677 | − | 0.178890i | −0.563787 | − | 0.825920i | \(-0.690656\pi\) |
0.762464 | + | 0.647031i | \(0.223989\pi\) | |||||||
\(284\) | −0.759374 | − | 1.70558i | −0.0450606 | − | 0.101208i | ||||
\(285\) | −20.2768 | + | 42.9060i | −1.20109 | + | 2.54153i | ||||
\(286\) | 13.9666 | + | 10.3721i | 0.825860 | + | 0.613315i | ||||
\(287\) | 7.16680 | + | 17.4846i | 0.423043 | + | 1.03208i | ||||
\(288\) | −2.50424 | + | 1.65190i | −0.147564 | + | 0.0973389i | ||||
\(289\) | 9.14370 | − | 1.94355i | 0.537864 | − | 0.114327i | ||||
\(290\) | −3.89447 | + | 18.3220i | −0.228691 | + | 1.07591i | ||||
\(291\) | 5.33155 | − | 4.58670i | 0.312541 | − | 0.268877i | ||||
\(292\) | 5.78245 | − | 12.9876i | 0.338392 | − | 0.760041i | ||||
\(293\) | −6.18542 | − | 19.0368i | −0.361356 | − | 1.11214i | −0.952232 | − | 0.305377i | \(-0.901218\pi\) |
0.590876 | − | 0.806763i | \(-0.298782\pi\) | |||||||
\(294\) | −5.82578 | + | 10.6330i | −0.339766 | + | 0.620128i | ||||
\(295\) | −32.1283 | − | 23.3426i | −1.87058 | − | 1.35906i | ||||
\(296\) | −2.08728 | − | 3.61527i | −0.121320 | − | 0.210133i | ||||
\(297\) | −9.75716 | + | 14.2056i | −0.566168 | + | 0.824290i | ||||
\(298\) | 11.0745 | − | 19.1816i | 0.641530 | − | 1.11116i | ||||
\(299\) | −0.145287 | + | 1.38231i | −0.00840215 | + | 0.0799412i | ||||
\(300\) | 15.2596 | − | 4.57961i | 0.881013 | − | 0.264404i | ||||
\(301\) | 9.18333 | + | 10.8331i | 0.529318 | + | 0.624409i | ||||
\(302\) | −4.64310 | − | 6.39068i | −0.267180 | − | 0.367742i | ||||
\(303\) | −2.61659 | − | 13.8410i | −0.150319 | − | 0.795147i | ||||
\(304\) | −1.51179 | + | 7.11240i | −0.0867069 | + | 0.407924i | ||||
\(305\) | 9.20520 | + | 10.2234i | 0.527088 | + | 0.585391i | ||||
\(306\) | 7.42098 | + | 3.71447i | 0.424229 | + | 0.212342i | ||||
\(307\) | 29.0371i | 1.65724i | 0.559814 | + | 0.828618i | \(0.310872\pi\) | ||||
−0.559814 | + | 0.828618i | \(0.689128\pi\) | |||||||
\(308\) | 7.30128 | − | 4.86738i | 0.416029 | − | 0.277345i | ||||
\(309\) | −4.27710 | − | 6.17572i | −0.243316 | − | 0.351325i | ||||
\(310\) | −20.3725 | − | 2.14124i | −1.15708 | − | 0.121614i | ||||
\(311\) | 11.5574 | − | 10.4063i | 0.655359 | − | 0.590088i | −0.272891 | − | 0.962045i | \(-0.587980\pi\) |
0.928250 | + | 0.371957i | \(0.121313\pi\) | |||||||
\(312\) | −8.38106 | + | 3.50676i | −0.474484 | + | 0.198531i | ||||
\(313\) | 23.6254 | + | 10.5187i | 1.33538 | + | 0.594551i | 0.945292 | − | 0.326224i | \(-0.105777\pi\) |
0.390092 | + | 0.920776i | \(0.372443\pi\) | |||||||
\(314\) | −10.8741 | + | 7.90048i | −0.613660 | + | 0.445850i | ||||
\(315\) | −5.34831 | + | 29.4260i | −0.301343 | + | 1.65797i | ||||
\(316\) | 1.12812 | + | 0.366549i | 0.0634617 | + | 0.0206200i | ||||
\(317\) | −3.28013 | − | 0.344755i | −0.184230 | − | 0.0193634i | 0.0119639 | − | 0.999928i | \(-0.496192\pi\) |
−0.196194 | + | 0.980565i | \(0.562858\pi\) | |||||||
\(318\) | 0.373836 | + | 4.54201i | 0.0209637 | + | 0.254703i | ||||
\(319\) | 6.54812 | + | 15.1311i | 0.366624 | + | 0.847178i | ||||
\(320\) | 3.26324 | − | 1.88403i | 0.182421 | − | 0.105321i | ||||
\(321\) | 0.321498 | − | 14.2240i | 0.0179443 | − | 0.793904i | ||||
\(322\) | 0.631669 | + | 0.304161i | 0.0352015 | + | 0.0169502i | ||||
\(323\) | 19.1296 | − | 6.21559i | 1.06440 | − | 0.345845i | ||||
\(324\) | −3.77803 | − | 8.16863i | −0.209890 | − | 0.453813i | ||||
\(325\) | 47.9837 | − | 5.04329i | 2.66166 | − | 0.279752i | ||||
\(326\) | −16.3863 | − | 3.48302i | −0.907554 | − | 0.192907i | ||||
\(327\) | −6.83546 | + | 7.25493i | −0.378002 | + | 0.401199i | ||||
\(328\) | 5.77815 | + | 4.19807i | 0.319045 | + | 0.231800i | ||||
\(329\) | 7.61828 | + | 5.89056i | 0.420009 | + | 0.324757i | ||||
\(330\) | 13.2949 | − | 17.0819i | 0.731861 | − | 0.940326i | ||||
\(331\) | 8.44348 | + | 14.6245i | 0.464095 | + | 0.803837i | 0.999160 | − | 0.0409742i | \(-0.0130462\pi\) |
−0.535065 | + | 0.844811i | \(0.679713\pi\) | |||||||
\(332\) | −1.62944 | + | 0.725474i | −0.0894272 | + | 0.0398155i | ||||
\(333\) | 11.6594 | − | 4.57170i | 0.638931 | − | 0.250528i | ||||
\(334\) | 16.8334 | − | 18.6953i | 0.921081 | − | 1.02296i | ||||
\(335\) | −19.4343 | − | 26.7490i | −1.06181 | − | 1.46145i | ||||
\(336\) | 0.239314 | + | 4.57632i | 0.0130556 | + | 0.249659i | ||||
\(337\) | −5.08135 | + | 1.65103i | −0.276799 | + | 0.0899373i | −0.444127 | − | 0.895964i | \(-0.646486\pi\) |
0.167328 | + | 0.985901i | \(0.446486\pi\) | |||||||
\(338\) | −14.1960 | + | 3.01746i | −0.772162 | + | 0.164128i | ||||
\(339\) | −8.97717 | + | 14.7679i | −0.487573 | + | 0.802081i | ||||
\(340\) | −9.02688 | − | 5.21167i | −0.489551 | − | 0.282643i | ||||
\(341\) | −15.7083 | + | 8.85153i | −0.850651 | + | 0.479337i | ||||
\(342\) | −20.4205 | − | 7.67133i | −1.10421 | − | 0.414818i | ||||
\(343\) | 9.50118 | + | 15.8974i | 0.513016 | + | 0.858379i | ||||
\(344\) | 5.10504 | + | 1.65873i | 0.275245 | + | 0.0894326i | ||||
\(345\) | 1.71542 | + | 0.219593i | 0.0923553 | + | 0.0118225i | ||||
\(346\) | 1.10188 | + | 10.4837i | 0.0592375 | + | 0.563607i | ||||
\(347\) | 3.33343 | + | 31.7155i | 0.178948 | + | 1.70258i | 0.603655 | + | 0.797246i | \(0.293710\pi\) |
−0.424707 | + | 0.905331i | \(0.639623\pi\) | |||||||
\(348\) | −8.54047 | − | 1.09327i | −0.457817 | − | 0.0586056i | ||||
\(349\) | 4.33484 | + | 1.40848i | 0.232039 | + | 0.0753940i | 0.422728 | − | 0.906256i | \(-0.361072\pi\) |
−0.190690 | + | 0.981650i | \(0.561072\pi\) | |||||||
\(350\) | 5.76864 | − | 23.6429i | 0.308347 | − | 1.26377i | ||||
\(351\) | −6.64700 | − | 26.4324i | −0.354791 | − | 1.41086i | ||||
\(352\) | 1.38059 | − | 3.01562i | 0.0735859 | − | 0.160733i | ||||
\(353\) | −17.4540 | − | 10.0770i | −0.928981 | − | 0.536347i | −0.0424916 | − | 0.999097i | \(-0.513530\pi\) |
−0.886489 | + | 0.462750i | \(0.846863\pi\) | |||||||
\(354\) | 9.48218 | − | 15.5986i | 0.503972 | − | 0.829058i | ||||
\(355\) | −6.88122 | + | 1.46265i | −0.365217 | + | 0.0776293i | ||||
\(356\) | 0.554814 | − | 0.180270i | 0.0294051 | − | 0.00955429i | ||||
\(357\) | 10.6322 | − | 6.90289i | 0.562713 | − | 0.365339i | ||||
\(358\) | 7.55932 | + | 10.4045i | 0.399522 | + | 0.549895i | ||||
\(359\) | 1.17775 | − | 1.30802i | 0.0621593 | − | 0.0690349i | −0.711263 | − | 0.702926i | \(-0.751877\pi\) |
0.773422 | + | 0.633891i | \(0.218543\pi\) | |||||||
\(360\) | 4.12655 | + | 10.5241i | 0.217488 | + | 0.554669i | ||||
\(361\) | −30.9434 | + | 13.7769i | −1.62860 | + | 0.725099i | ||||
\(362\) | −6.54079 | − | 11.3290i | −0.343776 | − | 0.595438i | ||||
\(363\) | 0.828672 | − | 19.0345i | 0.0434940 | − | 0.999054i | ||||
\(364\) | −1.86224 | + | 13.7522i | −0.0976077 | + | 0.720814i | ||||
\(365\) | −43.3386 | − | 31.4873i | −2.26844 | − | 1.64812i | ||||
\(366\) | −4.33642 | + | 4.60253i | −0.226668 | + | 0.240578i | ||||
\(367\) | −34.4953 | − | 7.33219i | −1.80064 | − | 0.382737i | −0.819046 | − | 0.573728i | \(-0.805497\pi\) |
−0.981592 | + | 0.190990i | \(0.938830\pi\) | |||||||
\(368\) | 0.263533 | − | 0.0276985i | 0.0137376 | − | 0.00144388i | ||||
\(369\) | −15.0419 | + | 15.2590i | −0.783053 | + | 0.794351i | ||||
\(370\) | −14.9601 | + | 4.86084i | −0.777739 | + | 0.252703i | ||||
\(371\) | 6.27223 | + | 3.02020i | 0.325638 | + | 0.156801i | ||||
\(372\) | 0.212774 | − | 9.41373i | 0.0110318 | − | 0.488079i | ||||
\(373\) | 12.5257 | − | 7.23170i | 0.648555 | − | 0.374443i | −0.139347 | − | 0.990244i | \(-0.544500\pi\) |
0.787902 | + | 0.615800i | \(0.211167\pi\) | |||||||
\(374\) | −9.13381 | + | 0.863561i | −0.472298 | + | 0.0446537i | ||||
\(375\) | −2.24762 | − | 27.3080i | −0.116067 | − | 1.41018i | ||||
\(376\) | 3.61986 | + | 0.380463i | 0.186680 | + | 0.0196209i | ||||
\(377\) | −24.7986 | − | 8.05756i | −1.27719 | − | 0.414985i | ||||
\(378\) | −13.6822 | − | 1.34062i | −0.703737 | − | 0.0689540i | ||||
\(379\) | 2.51776 | − | 1.82926i | 0.129328 | − | 0.0939626i | −0.521240 | − | 0.853410i | \(-0.674531\pi\) |
0.650569 | + | 0.759447i | \(0.274531\pi\) | |||||||
\(380\) | 25.0300 | + | 11.1441i | 1.28401 | + | 0.571679i | ||||
\(381\) | 9.79510 | − | 4.09842i | 0.501818 | − | 0.209969i | ||||
\(382\) | −16.7393 | + | 15.0722i | −0.856458 | + | 0.771159i | ||||
\(383\) | −1.22492 | − | 0.128744i | −0.0625904 | − | 0.00657852i | 0.0731815 | − | 0.997319i | \(-0.476685\pi\) |
−0.135772 | + | 0.990740i | \(0.543351\pi\) | |||||||
\(384\) | 0.986150 | + | 1.42391i | 0.0503243 | + | 0.0726634i | ||||
\(385\) | −12.2198 | − | 30.7237i | −0.622779 | − | 1.56583i | ||||
\(386\) | − | 3.33679i | − | 0.169838i | ||||||
\(387\) | −7.20777 | + | 14.4001i | −0.366392 | + | 0.731999i | ||||
\(388\) | −2.71701 | − | 3.01755i | −0.137935 | − | 0.153193i | ||||
\(389\) | −3.55370 | + | 16.7188i | −0.180180 | + | 0.847679i | 0.791462 | + | 0.611219i | \(0.209321\pi\) |
−0.971641 | + | 0.236460i | \(0.924013\pi\) | |||||||
\(390\) | 6.35904 | + | 33.6376i | 0.322003 | + | 1.70331i | ||||
\(391\) | −0.430852 | − | 0.593017i | −0.0217891 | − | 0.0299902i | ||||
\(392\) | 6.21339 | + | 3.22394i | 0.313824 | + | 0.162833i | ||||
\(393\) | 14.0102 | − | 4.20465i | 0.706721 | − | 0.212096i | ||||
\(394\) | −0.150083 | + | 1.42794i | −0.00756106 | + | 0.0719387i | ||||
\(395\) | 2.23480 | − | 3.87078i | 0.112445 | − | 0.194760i | ||||
\(396\) | 8.32678 | + | 5.44653i | 0.418437 | + | 0.273699i | ||||
\(397\) | −19.1196 | − | 33.1161i | −0.959586 | − | 1.66205i | −0.723506 | − | 0.690318i | \(-0.757471\pi\) |
−0.236080 | − | 0.971734i | \(-0.575863\pi\) | |||||||
\(398\) | 16.9108 | + | 12.2864i | 0.847663 | + | 0.615863i | ||||
\(399\) | −25.8979 | + | 20.9668i | −1.29651 | + | 1.04965i | ||||
\(400\) | −2.84244 | − | 8.74814i | −0.142122 | − | 0.437407i | ||||
\(401\) | −4.79892 | + | 10.7785i | −0.239647 | + | 0.538255i | −0.992827 | − | 0.119559i | \(-0.961852\pi\) |
0.753181 | + | 0.657814i | \(0.228519\pi\) | |||||||
\(402\) | 11.5213 | − | 9.91174i | 0.574633 | − | 0.494353i | ||||
\(403\) | 5.92873 | − | 27.8925i | 0.295331 | − | 1.38942i | ||||
\(404\) | −7.95495 | + | 1.69088i | −0.395773 | + | 0.0841243i | ||||
\(405\) | −33.0671 | + | 7.52527i | −1.64312 | + | 0.373934i | ||||
\(406\) | −8.04507 | + | 10.4047i | −0.399270 | + | 0.516377i | ||||
\(407\) | −8.25479 | + | 11.1155i | −0.409175 | + | 0.550974i | ||||
\(408\) | 2.04719 | − | 4.33187i | 0.101351 | − | 0.214460i | ||||
\(409\) | −4.96097 | − | 11.1425i | −0.245304 | − | 0.550963i | 0.748368 | − | 0.663284i | \(-0.230838\pi\) |
−0.993672 | + | 0.112322i | \(0.964171\pi\) | |||||||
\(410\) | 19.9997 | − | 18.0078i | 0.987714 | − | 0.889341i | ||||
\(411\) | 1.75815 | − | 13.7344i | 0.0867230 | − | 0.677466i | ||||
\(412\) | −3.50884 | + | 2.54932i | −0.172868 | + | 0.125596i | ||||
\(413\) | −13.2146 | − | 24.5542i | −0.650249 | − | 1.20823i | ||||
\(414\) | −0.0359177 | + | 0.794143i | −0.00176526 | + | 0.0390300i | ||||
\(415\) | 1.39735 | + | 6.57403i | 0.0685933 | + | 0.322706i | ||||
\(416\) | 2.13346 | + | 4.79182i | 0.104601 | + | 0.234938i | ||||
\(417\) | −2.01443 | − | 24.4749i | −0.0986471 | − | 1.19854i | ||||
\(418\) | 23.6403 | − | 4.76715i | 1.15628 | − | 0.233169i | ||||
\(419\) | 28.4492i | 1.38984i | 0.719089 | + | 0.694918i | \(0.244559\pi\) | ||||
−0.719089 | + | 0.694918i | \(0.755441\pi\) | |||||||
\(420\) | 17.0546 | + | 2.70316i | 0.832177 | + | 0.131901i | ||||
\(421\) | −2.09064 | + | 6.43434i | −0.101892 | + | 0.313590i | −0.988988 | − | 0.147993i | \(-0.952719\pi\) |
0.887097 | + | 0.461584i | \(0.152719\pi\) | |||||||
\(422\) | 4.16011 | + | 3.74578i | 0.202511 | + | 0.182342i | ||||
\(423\) | −2.75053 | + | 10.5673i | −0.133735 | + | 0.513800i | ||||
\(424\) | 2.61679 | − | 0.275035i | 0.127082 | − | 0.0133569i | ||||
\(425\) | −17.0258 | + | 18.9091i | −0.825874 | + | 0.917226i | ||||
\(426\) | −0.929525 | − | 3.09725i | −0.0450356 | − | 0.150062i | ||||
\(427\) | 2.70919 | + | 9.27175i | 0.131107 | + | 0.448691i | ||||
\(428\) | −8.21431 | −0.397053 | ||||||||
\(429\) | 21.7139 | + | 20.8912i | 1.04836 | + | 1.00864i | ||||
\(430\) | 10.1130 | − | 17.5163i | 0.487694 | − | 0.844710i | ||||
\(431\) | −0.804251 | + | 0.358076i | −0.0387394 | + | 0.0172479i | −0.426015 | − | 0.904716i | \(-0.640083\pi\) |
0.387275 | + | 0.921964i | \(0.373416\pi\) | |||||||
\(432\) | −4.66567 | + | 2.28726i | −0.224477 | + | 0.110046i | ||||
\(433\) | 5.24575 | + | 16.1447i | 0.252094 | + | 0.775867i | 0.994388 | + | 0.105792i | \(0.0337379\pi\) |
−0.742294 | + | 0.670075i | \(0.766262\pi\) | |||||||
\(434\) | −12.2360 | − | 7.56056i | −0.587347 | − | 0.362918i | ||||
\(435\) | −10.7203 | + | 30.6213i | −0.514000 | + | 1.46818i | ||||
\(436\) | 4.27674 | + | 3.85080i | 0.204819 | + | 0.184420i | ||||
\(437\) | 1.28927 | + | 1.43188i | 0.0616742 | + | 0.0684961i | ||||
\(438\) | 12.7907 | − | 21.0414i | 0.611165 | − | 1.00540i | ||||
\(439\) | 6.60866 | − | 3.81551i | 0.315414 | − | 0.182104i | −0.333933 | − | 0.942597i | \(-0.608376\pi\) |
0.649347 | + | 0.760493i | \(0.275042\pi\) | |||||||
\(440\) | −10.0332 | − | 7.45101i | −0.478312 | − | 0.355213i | ||||
\(441\) | −12.3474 | + | 16.9866i | −0.587969 | + | 0.808883i | ||||
\(442\) | 8.52859 | − | 11.7386i | 0.405664 | − | 0.558348i | ||||
\(443\) | −1.76987 | − | 8.32660i | −0.0840892 | − | 0.395609i | 0.915894 | − | 0.401420i | \(-0.131483\pi\) |
−0.999983 | + | 0.00581181i | \(0.998150\pi\) | |||||||
\(444\) | −2.79091 | − | 6.67019i | −0.132451 | − | 0.316553i | ||||
\(445\) | −0.229771 | − | 2.18612i | −0.0108922 | − | 0.103632i | ||||
\(446\) | 17.5295 | + | 7.80463i | 0.830045 | + | 0.369560i | ||||
\(447\) | 23.2449 | − | 30.5191i | 1.09945 | − | 1.44350i | ||||
\(448\) | 2.63834 | − | 0.197836i | 0.124650 | − | 0.00934689i | ||||
\(449\) | 12.2986 | − | 16.9275i | 0.580405 | − | 0.798859i | −0.413334 | − | 0.910579i | \(-0.635636\pi\) |
0.993740 | + | 0.111720i | \(0.0356360\pi\) | |||||||
\(450\) | 27.2236 | − | 4.51191i | 1.28334 | − | 0.212694i | ||||
\(451\) | 5.16696 | − | 23.1175i | 0.243303 | − | 1.08856i | ||||
\(452\) | 8.64118 | + | 4.98899i | 0.406447 | + | 0.234662i | ||||
\(453\) | −6.57151 | − | 12.0005i | −0.308756 | − | 0.563834i | ||||
\(454\) | −2.61311 | + | 8.04232i | −0.122639 | + | 0.377445i | ||||
\(455\) | 49.2281 | + | 17.6376i | 2.30785 | + | 0.826861i | ||||
\(456\) | −4.16151 | + | 11.8868i | −0.194880 | + | 0.556652i | ||||
\(457\) | −12.2510 | + | 27.5163i | −0.573079 | + | 1.28716i | 0.361822 | + | 0.932247i | \(0.382155\pi\) |
−0.934901 | + | 0.354909i | \(0.884512\pi\) | |||||||
\(458\) | 20.3675 | + | 4.32925i | 0.951711 | + | 0.202292i | ||||
\(459\) | 11.9326 | + | 8.01365i | 0.556965 | + | 0.374045i | ||||
\(460\) | 0.104370 | − | 0.993012i | 0.00486626 | − | 0.0462994i | ||||
\(461\) | −29.4709 | −1.37260 | −0.686299 | − | 0.727320i | \(-0.740766\pi\) | ||||
−0.686299 | + | 0.727320i | \(0.740766\pi\) | |||||||
\(462\) | 13.6143 | − | 6.75656i | 0.633394 | − | 0.314344i | ||||
\(463\) | 5.36167 | 0.249178 | 0.124589 | − | 0.992208i | \(-0.460239\pi\) | ||||
0.124589 | + | 0.992208i | \(0.460239\pi\) | |||||||
\(464\) | −0.519619 | + | 4.94385i | −0.0241227 | + | 0.229512i | ||||
\(465\) | −34.5297 | − | 8.15918i | −1.60128 | − | 0.378373i | ||||
\(466\) | −4.53271 | − | 0.963458i | −0.209974 | − | 0.0446313i | ||||
\(467\) | 9.42414 | − | 21.1670i | 0.436097 | − | 0.979491i | −0.553129 | − | 0.833096i | \(-0.686566\pi\) |
0.989226 | − | 0.146395i | \(-0.0467670\pi\) | |||||||
\(468\) | −15.1702 | + | 4.18151i | −0.701241 | + | 0.193291i | ||||
\(469\) | −4.14633 | − | 22.8423i | −0.191460 | − | 1.05476i | ||||
\(470\) | 4.23817 | − | 13.0437i | 0.195492 | − | 0.601663i | ||||
\(471\) | −20.4195 | + | 11.1818i | −0.940883 | + | 0.515229i | ||||
\(472\) | −9.12728 | − | 5.26964i | −0.420117 | − | 0.242555i | ||||
\(473\) | −1.67570 | − | 17.7238i | −0.0770489 | − | 0.814941i | ||||
\(474\) | 1.85753 | + | 0.877846i | 0.0853193 | + | 0.0403208i | ||||
\(475\) | 39.3133 | − | 54.1101i | 1.80382 | − | 2.48274i | ||||
\(476\) | −4.12308 | − | 6.04685i | −0.188981 | − | 0.277157i | ||||
\(477\) | −0.356649 | + | 7.88554i | −0.0163298 | + | 0.361054i | ||||
\(478\) | 8.80687 | + | 3.92107i | 0.402817 | + | 0.179346i | ||||
\(479\) | 2.40215 | + | 22.8549i | 0.109757 | + | 1.04427i | 0.901312 | + | 0.433171i | \(0.142605\pi\) |
−0.791555 | + | 0.611098i | \(0.790728\pi\) | |||||||
\(480\) | 6.02070 | − | 2.51916i | 0.274806 | − | 0.114983i | ||||
\(481\) | −4.55260 | − | 21.4183i | −0.207581 | − | 0.976590i | ||||
\(482\) | 4.33273 | − | 5.96349i | 0.197350 | − | 0.271629i | ||||
\(483\) | 1.01833 | + | 0.661478i | 0.0463358 | + | 0.0300983i | ||||
\(484\) | −10.9976 | − | 0.229982i | −0.499891 | − | 0.0104537i | ||||
\(485\) | −13.2504 | + | 7.65014i | −0.601671 | + | 0.347375i | ||||
\(486\) | −4.69427 | − | 14.8649i | −0.212936 | − | 0.674283i | ||||
\(487\) | 14.7364 | + | 16.3664i | 0.667769 | + | 0.741633i | 0.977903 | − | 0.209060i | \(-0.0670405\pi\) |
−0.310134 | + | 0.950693i | \(0.600374\pi\) | |||||||
\(488\) | 2.71317 | + | 2.44295i | 0.122819 | + | 0.110587i | ||||
\(489\) | −27.3862 | − | 9.58772i | −1.23845 | − | 0.433572i | ||||
\(490\) | 16.7503 | − | 20.3751i | 0.756700 | − | 0.920455i | ||||
\(491\) | 0.700532 | + | 2.15602i | 0.0316146 | + | 0.0972997i | 0.965619 | − | 0.259963i | \(-0.0837102\pi\) |
−0.934004 | + | 0.357262i | \(0.883710\pi\) | |||||||
\(492\) | 9.00377 | + | 8.48318i | 0.405921 | + | 0.382451i | ||||
\(493\) | 12.5623 | − | 5.59309i | 0.565777 | − | 0.251900i | ||||
\(494\) | −19.0701 | + | 33.0303i | −0.858003 | + | 1.48610i | ||||
\(495\) | 26.5978 | − | 26.4233i | 1.19548 | − | 1.18764i | ||||
\(496\) | −5.43641 | −0.244102 | ||||||||
\(497\) | −4.79882 | − | 1.17086i | −0.215257 | − | 0.0525205i | ||||
\(498\) | −2.95898 | + | 0.888029i | −0.132595 | + | 0.0397935i | ||||
\(499\) | −28.0074 | + | 31.1053i | −1.25378 | + | 1.39247i | −0.367036 | + | 0.930207i | \(0.619627\pi\) |
−0.886745 | + | 0.462259i | \(0.847039\pi\) | |||||||
\(500\) | −15.7330 | + | 1.65360i | −0.703599 | + | 0.0739512i | ||||
\(501\) | 33.0319 | − | 28.4171i | 1.47575 | − | 1.26958i | ||||
\(502\) | 0.644235 | + | 0.580072i | 0.0287536 | + | 0.0258899i | ||||
\(503\) | −5.45642 | + | 16.7931i | −0.243290 | + | 0.748769i | 0.752623 | + | 0.658452i | \(0.228788\pi\) |
−0.995913 | + | 0.0903177i | \(0.971212\pi\) | |||||||
\(504\) | −0.595308 | + | 7.91490i | −0.0265171 | + | 0.352558i | ||||
\(505\) | 30.6444i | 1.36366i | ||||||||
\(506\) | −0.431447 | − | 0.765664i | −0.0191802 | − | 0.0340379i | ||||
\(507\) | −25.0529 | + | 2.06200i | −1.11264 | + | 0.0915768i | ||||
\(508\) | −2.49341 | − | 5.60029i | −0.110627 | − | 0.248473i | ||||
\(509\) | −7.31258 | − | 34.4030i | −0.324124 | − | 1.52489i | −0.774805 | − | 0.632200i | \(-0.782152\pi\) |
0.450681 | − | 0.892685i | \(-0.351181\pi\) | |||||||
\(510\) | −14.3623 | − | 10.9391i | −0.635972 | − | 0.484390i | ||||
\(511\) | −17.8255 | − | 33.1217i | −0.788554 | − | 1.46522i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −33.3959 | − | 17.6706i | −1.47447 | − | 0.780176i | ||||
\(514\) | −11.2013 | + | 10.0857i | −0.494070 | + | 0.444862i | ||||
\(515\) | 6.64720 | + | 14.9298i | 0.292910 | + | 0.657888i | ||||
\(516\) | 8.40582 | + | 3.97248i | 0.370045 | + | 0.174879i | ||||
\(517\) | −3.61018 | − | 11.5194i | −0.158775 | − | 0.506622i | ||||
\(518\) | −10.9449 | − | 1.48209i | −0.480893 | − | 0.0651192i | ||||
\(519\) | −0.412579 | + | 18.2536i | −0.0181102 | + | 0.801246i | ||||
\(520\) | 19.3327 | − | 4.10930i | 0.847797 | − | 0.180205i | ||||
\(521\) | 2.21277 | − | 10.4102i | 0.0969430 | − | 0.456081i | −0.902723 | − | 0.430223i | \(-0.858435\pi\) |
0.999666 | − | 0.0258580i | \(-0.00823178\pi\) | |||||||
\(522\) | −14.4324 | − | 3.75656i | −0.631687 | − | 0.164420i | ||||
\(523\) | −11.5357 | + | 25.9096i | −0.504420 | + | 1.13295i | 0.464500 | + | 0.885573i | \(0.346234\pi\) |
−0.968920 | + | 0.247373i | \(0.920433\pi\) | |||||||
\(524\) | −2.60971 | − | 8.03187i | −0.114006 | − | 0.350874i | ||||
\(525\) | 15.1104 | − | 39.3506i | 0.659473 | − | 1.71740i | ||||
\(526\) | −3.88096 | − | 2.81968i | −0.169218 | − | 0.122944i | ||||
\(527\) | 7.51918 | + | 13.0236i | 0.327541 | + | 0.567317i | ||||
\(528\) | 3.03512 | − | 4.87730i | 0.132087 | − | 0.212257i | ||||
\(529\) | −11.4649 | + | 19.8578i | −0.498474 | + | 0.863382i | ||||
\(530\) | 1.03635 | − | 9.86023i | 0.0450162 | − | 0.428301i | ||||
\(531\) | 19.7212 | − | 24.7136i | 0.855829 | − | 1.07248i | ||||
\(532\) | 12.4400 | + | 14.6748i | 0.539341 | + | 0.636233i | ||||
\(533\) | 22.0201 | + | 30.3081i | 0.953798 | + | 1.31279i | ||||
\(534\) | 0.992834 | − | 0.187691i | 0.0429641 | − | 0.00812219i | ||||
\(535\) | −6.43530 | + | 30.2757i | −0.278222 | + | 1.30893i | ||||
\(536\) | −5.87140 | − | 6.52084i | −0.253606 | − | 0.281658i | ||||
\(537\) | 10.6989 | + | 19.5378i | 0.461692 | + | 0.843117i | ||||
\(538\) | − | 27.8609i | − | 1.20117i | ||||||
\(539\) | 1.62854 | − | 23.1592i | 0.0701464 | − | 0.997537i | ||||
\(540\) | 4.77501 | + | 18.9883i | 0.205484 | + | 0.817125i | ||||
\(541\) | 26.4809 | + | 2.78325i | 1.13850 | + | 0.119661i | 0.654962 | − | 0.755662i | \(-0.272685\pi\) |
0.483539 | + | 0.875323i | \(0.339351\pi\) | |||||||
\(542\) | 0.729017 | − | 0.656410i | 0.0313140 | − | 0.0281952i | ||||
\(543\) | −8.74574 | − | 20.9020i | −0.375316 | − | 0.896992i | ||||
\(544\) | −2.52708 | − | 1.12513i | −0.108348 | − | 0.0482394i | ||||
\(545\) | 17.5435 | − | 12.7461i | 0.751481 | − | 0.545983i | ||||
\(546\) | −6.22387 | + | 23.2172i | −0.266357 | + | 0.993606i | ||||
\(547\) | 27.6539 | + | 8.98531i | 1.18240 | + | 0.384184i | 0.833257 | − | 0.552886i | \(-0.186474\pi\) |
0.349141 | + | 0.937070i | \(0.386474\pi\) | |||||||
\(548\) | −7.95044 | − | 0.835625i | −0.339626 | − | 0.0356961i | ||||
\(549\) | −8.46233 | + | 6.95360i | −0.361163 | + | 0.296773i | ||||
\(550\) | −22.8836 | + | 20.1753i | −0.975760 | + | 0.860279i | ||||
\(551\) | −31.3035 | + | 18.0731i | −1.33357 | + | 0.769939i | ||||
\(552\) | 0.458850 | + | 0.0103712i | 0.0195300 | + | 0.000441427i | ||||
\(553\) | 2.59293 | − | 1.76800i | 0.110263 | − | 0.0751830i | ||||
\(554\) | −4.85053 | + | 1.57603i | −0.206079 | + | 0.0669592i | ||||
\(555\) | −26.7710 | + | 5.06094i | −1.13636 | + | 0.214825i | ||||
\(556\) | −14.1007 | + | 1.48204i | −0.598002 | + | 0.0628525i | ||||
\(557\) | −2.89594 | − | 0.615550i | −0.122705 | − | 0.0260817i | 0.146150 | − | 0.989262i | \(-0.453312\pi\) |
−0.268855 | + | 0.963181i | \(0.586645\pi\) | |||||||
\(558\) | 2.43588 | − | 16.1263i | 0.103119 | − | 0.682680i | ||||
\(559\) | 22.7783 | + | 16.5494i | 0.963418 | + | 0.699964i | ||||
\(560\) | 1.33778 | − | 9.87921i | 0.0565313 | − | 0.417473i | ||||
\(561\) | −15.8821 | − | 0.525146i | −0.670543 | − | 0.0221717i | ||||
\(562\) | −11.2937 | − | 19.5612i | −0.476395 | − | 0.825140i | ||||
\(563\) | 35.8135 | − | 15.9452i | 1.50936 | − | 0.672010i | 0.525474 | − | 0.850810i | \(-0.323888\pi\) |
0.983886 | + | 0.178800i | \(0.0572213\pi\) | |||||||
\(564\) | 6.13536 | + | 1.44975i | 0.258345 | + | 0.0610455i | ||||
\(565\) | 25.1578 | − | 27.9405i | 1.05839 | − | 1.17547i | ||||
\(566\) | −2.64354 | − | 3.63852i | −0.111116 | − | 0.152938i | ||||
\(567\) | −23.2116 | − | 5.31231i | −0.974796 | − | 0.223096i | ||||
\(568\) | −1.77561 | + | 0.576932i | −0.0745031 | + | 0.0242075i | ||||
\(569\) | −3.31602 | + | 0.704842i | −0.139015 | + | 0.0295485i | −0.276894 | − | 0.960901i | \(-0.589305\pi\) |
0.137879 | + | 0.990449i | \(0.455972\pi\) | |||||||
\(570\) | 40.5514 | + | 24.6506i | 1.69851 | + | 1.03250i | ||||
\(571\) | 31.0407 | + | 17.9213i | 1.29901 | + | 0.749985i | 0.980233 | − | 0.197845i | \(-0.0633942\pi\) |
0.318778 | + | 0.947829i | \(0.396728\pi\) | |||||||
\(572\) | 11.7752 | − | 12.8059i | 0.492345 | − | 0.535440i | ||||
\(573\) | −32.0735 | + | 22.2130i | −1.33989 | + | 0.927962i | ||||
\(574\) | 18.1380 | − | 5.29990i | 0.757065 | − | 0.221213i | ||||
\(575\) | −2.31813 | − | 0.753205i | −0.0966725 | − | 0.0314108i | ||||
\(576\) | 1.38108 | + | 2.66320i | 0.0575451 | + | 0.110967i | ||||
\(577\) | −0.561381 | − | 5.34118i | −0.0233706 | − | 0.222356i | −0.999973 | − | 0.00730493i | \(-0.997675\pi\) |
0.976603 | − | 0.215051i | \(-0.0689919\pi\) | |||||||
\(578\) | −0.977129 | − | 9.29676i | −0.0406432 | − | 0.386694i | ||||
\(579\) | 0.733850 | − | 5.73272i | 0.0304978 | − | 0.238244i | ||||
\(580\) | 17.8146 | + | 5.78831i | 0.739710 | + | 0.240346i | ||||
\(581\) | −1.11859 | + | 4.58459i | −0.0464071 | + | 0.190201i | ||||
\(582\) | −4.00427 | − | 5.78179i | −0.165982 | − | 0.239663i | ||||
\(583\) | −4.28410 | − | 7.60275i | −0.177429 | − | 0.314874i | ||||
\(584\) | −12.3120 | − | 7.10834i | −0.509475 | − | 0.294145i | ||||
\(585\) | 3.52723 | + | 59.1889i | 0.145833 | + | 2.44716i | ||||
\(586\) | −19.5790 | + | 4.16165i | −0.808802 | + | 0.171916i | ||||
\(587\) | −12.7186 | + | 4.13251i | −0.524951 | + | 0.170567i | −0.559491 | − | 0.828836i | \(-0.689003\pi\) |
0.0345400 | + | 0.999403i | \(0.489003\pi\) | |||||||
\(588\) | 9.96577 | + | 6.90531i | 0.410982 | + | 0.284770i | ||||
\(589\) | −23.2350 | − | 31.9802i | −0.957381 | − | 1.31772i | ||||
\(590\) | −26.5730 | + | 29.5123i | −1.09399 | + | 1.21500i | ||||
\(591\) | −0.571890 | + | 2.42024i | −0.0235244 | + | 0.0995555i | ||||
\(592\) | −3.81364 | + | 1.69794i | −0.156740 | + | 0.0697850i | ||||
\(593\) | −2.04859 | − | 3.54826i | −0.0841254 | − | 0.145710i | 0.820893 | − | 0.571082i | \(-0.193476\pi\) |
−0.905018 | + | 0.425373i | \(0.860143\pi\) | |||||||
\(594\) | 13.1078 | + | 11.1886i | 0.537821 | + | 0.459074i | ||||
\(595\) | −25.5172 | + | 10.4593i | −1.04610 | + | 0.428788i | ||||
\(596\) | −17.9190 | − | 13.0189i | −0.733989 | − | 0.533275i | ||||
\(597\) | 26.3512 | + | 24.8276i | 1.07848 | + | 1.01613i | ||||
\(598\) | 1.35955 | + | 0.288982i | 0.0555963 | + | 0.0118173i | ||||
\(599\) | −2.67862 | + | 0.281534i | −0.109445 | + | 0.0115032i | −0.159093 | − | 0.987264i | \(-0.550857\pi\) |
0.0496474 | + | 0.998767i | \(0.484190\pi\) | |||||||
\(600\) | −2.95946 | − | 15.6547i | −0.120819 | − | 0.639101i | ||||
\(601\) | −27.3236 | + | 8.87798i | −1.11455 | + | 0.362140i | −0.807686 | − | 0.589612i | \(-0.799281\pi\) |
−0.306867 | + | 0.951753i | \(0.599281\pi\) | |||||||
\(602\) | 11.7337 | − | 8.00066i | 0.478229 | − | 0.326082i | ||||
\(603\) | 21.9739 | − | 14.4948i | 0.894846 | − | 0.590275i | ||||
\(604\) | −6.84101 | + | 3.94966i | −0.278357 | + | 0.160709i | ||||
\(605\) | −9.46345 | + | 40.3540i | −0.384744 | + | 1.64062i | ||||
\(606\) | −14.0387 | + | 1.15547i | −0.570284 | + | 0.0469379i | ||||
\(607\) | −27.4288 | − | 2.88288i | −1.11330 | − | 0.117012i | −0.470028 | − | 0.882651i | \(-0.655756\pi\) |
−0.643271 | + | 0.765639i | \(0.722423\pi\) | |||||||
\(608\) | 6.91541 | + | 2.24695i | 0.280457 | + | 0.0911260i | ||||
\(609\) | −16.1100 | + | 16.1063i | −0.652809 | + | 0.652660i | ||||
\(610\) | 11.1296 | − | 8.08613i | 0.450625 | − | 0.327398i | ||||
\(611\) | 17.4413 | + | 7.76535i | 0.705598 | + | 0.314152i | ||||
\(612\) | 4.46983 | − | 6.99206i | 0.180682 | − | 0.282637i | ||||
\(613\) | −12.7310 | + | 11.4630i | −0.514200 | + | 0.462987i | −0.884911 | − | 0.465761i | \(-0.845781\pi\) |
0.370711 | + | 0.928748i | \(0.379114\pi\) | |||||||
\(614\) | 28.8781 | + | 3.03521i | 1.16542 | + | 0.122491i | ||||
\(615\) | 38.3205 | − | 26.5395i | 1.54523 | − | 1.07018i | ||||
\(616\) | −4.07752 | − | 7.77006i | −0.164288 | − | 0.313065i | ||||
\(617\) | 20.8212i | 0.838230i | 0.907933 | + | 0.419115i | \(0.137660\pi\) | ||||
−0.907933 | + | 0.419115i | \(0.862340\pi\) | |||||||
\(618\) | −6.58897 | + | 3.60813i | −0.265047 | + | 0.145140i | ||||
\(619\) | −11.4542 | − | 12.7211i | −0.460381 | − | 0.511305i | 0.467596 | − | 0.883942i | \(-0.345120\pi\) |
−0.927977 | + | 0.372637i | \(0.878454\pi\) | |||||||
\(620\) | −4.25902 | + | 20.0371i | −0.171046 | + | 0.804710i | ||||
\(621\) | −0.236361 | + | 1.35646i | −0.00948484 | + | 0.0544330i | ||||
\(622\) | −9.14123 | − | 12.5818i | −0.366530 | − | 0.504485i | ||||
\(623\) | 0.520584 | − | 1.45300i | 0.0208567 | − | 0.0582132i | ||||
\(624\) | 2.61150 | + | 8.70170i | 0.104543 | + | 0.348347i | ||||
\(625\) | −1.42344 | + | 13.5431i | −0.0569375 | + | 0.541724i | ||||
\(626\) | 12.9306 | − | 22.3964i | 0.516810 | − | 0.895142i | ||||
\(627\) | 41.6632 | − | 2.99098i | 1.66387 | − | 0.119448i | ||||
\(628\) | 6.72055 | + | 11.6403i | 0.268179 | + | 0.464500i | ||||
\(629\) | 9.34234 | + | 6.78761i | 0.372504 | + | 0.270640i | ||||
\(630\) | 28.7058 | + | 8.39487i | 1.14367 | + | 0.334460i | ||||
\(631\) | 4.93069 | + | 15.1751i | 0.196288 | + | 0.604112i | 0.999959 | + | 0.00903831i | \(0.00287702\pi\) |
−0.803671 | + | 0.595073i | \(0.797123\pi\) | |||||||
\(632\) | 0.482461 | − | 1.08363i | 0.0191913 | − | 0.0431043i | ||||
\(633\) | 6.32340 | + | 7.35028i | 0.251333 | + | 0.292148i | ||||
\(634\) | −0.685734 | + | 3.22612i | −0.0272340 | + | 0.128126i | ||||
\(635\) | −22.5945 | + | 4.80262i | −0.896637 | + | 0.190586i | ||||
\(636\) | 4.55621 | + | 0.102982i | 0.180665 | + | 0.00408350i | ||||
\(637\) | 25.7704 | + | 26.1541i | 1.02106 | + | 1.03626i | ||||
\(638\) | 15.7327 | − | 4.93062i | 0.622862 | − | 0.195205i | ||||
\(639\) | −0.915786 | − | 5.52560i | −0.0362279 | − | 0.218589i | ||||
\(640\) | −1.53261 | − | 3.44230i | −0.0605818 | − | 0.136069i | ||||
\(641\) | 10.6874 | − | 9.62296i | 0.422126 | − | 0.380084i | −0.430513 | − | 0.902584i | \(-0.641667\pi\) |
0.852639 | + | 0.522500i | \(0.175001\pi\) | |||||||
\(642\) | −14.1124 | − | 1.80655i | −0.556973 | − | 0.0712987i | ||||
\(643\) | 12.1756 | − | 8.84606i | 0.480157 | − | 0.348854i | −0.321229 | − | 0.947001i | \(-0.604096\pi\) |
0.801386 | + | 0.598147i | \(0.204096\pi\) | |||||||
\(644\) | 0.368522 | − | 0.596415i | 0.0145218 | − | 0.0235021i | ||||
\(645\) | 21.2268 | − | 27.8694i | 0.835805 | − | 1.09736i | ||||
\(646\) | −4.18195 | − | 19.6745i | −0.164537 | − | 0.774084i | ||||
\(647\) | 4.33708 | + | 9.74124i | 0.170508 | + | 0.382968i | 0.978506 | − | 0.206218i | \(-0.0661155\pi\) |
−0.807998 | + | 0.589185i | \(0.799449\pi\) | |||||||
\(648\) | −8.51879 | + | 2.90348i | −0.334650 | + | 0.114059i | ||||
\(649\) | −4.01700 | + | 34.7233i | −0.157681 | + | 1.36301i | ||||
\(650\) | − | 48.2480i | − | 1.89244i | ||||||
\(651\) | −19.3591 | − | 15.6803i | −0.758741 | − | 0.614559i | ||||
\(652\) | −5.17677 | + | 15.9325i | −0.202738 | + | 0.623964i | ||||
\(653\) | 14.7932 | + | 13.3198i | 0.578901 | + | 0.521245i | 0.905739 | − | 0.423836i | \(-0.139317\pi\) |
−0.326838 | + | 0.945080i | \(0.605983\pi\) | |||||||
\(654\) | 6.50069 | + | 7.55636i | 0.254197 | + | 0.295477i | ||||
\(655\) | −31.6478 | + | 3.32632i | −1.23658 | + | 0.129970i | ||||
\(656\) | 4.77905 | − | 5.30767i | 0.186591 | − | 0.207230i | ||||
\(657\) | 26.6025 | − | 33.3367i | 1.03786 | − | 1.30059i | ||||
\(658\) | 6.65462 | − | 6.96082i | 0.259424 | − | 0.271361i | ||||
\(659\) | −9.69431 | −0.377637 | −0.188818 | − | 0.982012i | \(-0.560466\pi\) | ||||
−0.188818 | + | 0.982012i | \(0.560466\pi\) | |||||||
\(660\) | −15.5986 | − | 15.0076i | −0.607175 | − | 0.584171i | ||||
\(661\) | 1.99317 | − | 3.45228i | 0.0775255 | − | 0.134278i | −0.824656 | − | 0.565634i | \(-0.808631\pi\) |
0.902182 | + | 0.431356i | \(0.141965\pi\) | |||||||
\(662\) | 15.4270 | − | 6.86854i | 0.599587 | − | 0.266953i | ||||
\(663\) | 17.2340 | − | 18.2916i | 0.669314 | − | 0.710388i | ||||
\(664\) | 0.551176 | + | 1.69635i | 0.0213898 | + | 0.0658310i | ||||
\(665\) | 63.8330 | − | 34.3537i | 2.47534 | − | 1.33218i | ||||
\(666\) | −3.32792 | − | 12.0734i | −0.128954 | − | 0.467835i | ||||
\(667\) | 0.978916 | + | 0.881420i | 0.0379038 | + | 0.0341287i | ||||
\(668\) | −16.8334 | − | 18.6953i | −0.651302 | − | 0.723344i | ||||
\(669\) | 28.3998 | + | 17.2638i | 1.09800 | + | 0.667457i | ||||
\(670\) | −28.6339 | + | 16.5318i | −1.10622 | + | 0.638678i | ||||
\(671\) | 3.86200 | − | 11.4764i | 0.149091 | − | 0.443040i | ||||
\(672\) | 4.57627 | + | 0.240353i | 0.176533 | + | 0.00927183i | ||||
\(673\) | −27.7071 | + | 38.1355i | −1.06803 | + | 1.47002i | −0.195975 | + | 0.980609i | \(0.562787\pi\) |
−0.872055 | + | 0.489408i | \(0.837213\pi\) | |||||||
\(674\) | 1.11084 | + | 5.22609i | 0.0427879 | + | 0.201301i | ||||
\(675\) | 47.7634 | − | 1.76440i | 1.83841 | − | 0.0679117i | ||||
\(676\) | 1.51704 | + | 14.4337i | 0.0583477 | + | 0.555141i | ||||
\(677\) | −28.8505 | − | 12.8451i | −1.10882 | − | 0.493677i | −0.231135 | − | 0.972922i | \(-0.574244\pi\) |
−0.877681 | + | 0.479245i | \(0.840911\pi\) | |||||||
\(678\) | 13.7486 | + | 10.4717i | 0.528012 | + | 0.402162i | ||||
\(679\) | −10.7130 | + | 0.803317i | −0.411128 | + | 0.0308285i | ||||
\(680\) | −6.12669 | + | 8.43266i | −0.234948 | + | 0.323378i | ||||
\(681\) | −6.25813 | + | 13.2423i | −0.239812 | + | 0.507445i | ||||
\(682\) | 7.16107 | + | 16.5475i | 0.274212 | + | 0.633635i | ||||
\(683\) | −15.9623 | − | 9.21585i | −0.610781 | − | 0.352635i | 0.162490 | − | 0.986710i | \(-0.448047\pi\) |
−0.773271 | + | 0.634076i | \(0.781381\pi\) | |||||||
\(684\) | −9.76383 | + | 19.5067i | −0.373329 | + | 0.745859i | ||||
\(685\) | −9.30847 | + | 28.6485i | −0.355658 | + | 1.09460i | ||||
\(686\) | 16.8035 | − | 7.78740i | 0.641559 | − | 0.297324i | ||||
\(687\) | 34.0399 | + | 11.9171i | 1.29870 | + | 0.454667i | ||||
\(688\) | 2.18326 | − | 4.90369i | 0.0832361 | − | 0.186951i | ||||
\(689\) | 13.4998 | + | 2.86948i | 0.514303 | + | 0.109318i | ||||
\(690\) | 0.397700 | − | 1.68307i | 0.0151402 | − | 0.0640734i | ||||
\(691\) | 2.86914 | − | 27.2981i | 0.109147 | − | 1.03847i | −0.793642 | − | 0.608385i | \(-0.791818\pi\) |
0.902789 | − | 0.430083i | \(-0.141516\pi\) | |||||||
\(692\) | 10.5414 | 0.400725 | ||||||||
\(693\) | 24.8757 | − | 8.61384i | 0.944951 | − | 0.327213i | ||||
\(694\) | 31.8902 | 1.21053 | ||||||||
\(695\) | −5.58443 | + | 53.1323i | −0.211830 | + | 2.01542i | ||||
\(696\) | −1.98001 | + | 8.37941i | −0.0750519 | + | 0.317621i | ||||
\(697\) | −19.3252 | − | 4.10769i | −0.731993 | − | 0.155590i | ||||
\(698\) | 1.85387 | − | 4.16387i | 0.0701702 | − | 0.157605i | ||||
\(699\) | −7.57545 | − | 2.65212i | −0.286530 | − | 0.100312i | ||||
\(700\) | −22.9104 | − | 8.20840i | −0.865933 | − | 0.310248i | ||||
\(701\) | −6.68560 | + | 20.5761i | −0.252511 | + | 0.777150i | 0.741798 | + | 0.670623i | \(0.233973\pi\) |
−0.994310 | + | 0.106527i | \(0.966027\pi\) | |||||||
\(702\) | −26.9824 | + | 3.84765i | −1.01839 | + | 0.145220i | ||||
\(703\) | −26.2877 | − | 15.1772i | −0.991459 | − | 0.572419i | ||||
\(704\) | −2.85479 | − | 1.68825i | −0.107594 | − | 0.0636283i | ||||
\(705\) | 10.1500 | − | 21.4775i | 0.382270 | − | 0.808889i | ||||
\(706\) | −11.8463 | + | 16.3050i | −0.445841 | + | 0.613647i | ||||
\(707\) | −9.33501 | + | 19.3866i | −0.351079 | + | 0.729107i | ||||
\(708\) | −14.5220 | − | 11.0607i | −0.545771 | − | 0.415688i | ||||
\(709\) | −5.02191 | − | 2.23590i | −0.188602 | − | 0.0839709i | 0.310263 | − | 0.950651i | \(-0.399583\pi\) |
−0.498865 | + | 0.866680i | \(0.666250\pi\) | |||||||
\(710\) | 0.735353 | + | 6.99641i | 0.0275973 | + | 0.262571i | ||||
\(711\) | 2.99824 | + | 1.91669i | 0.112443 | + | 0.0718814i | ||||
\(712\) | −0.121289 | − | 0.570618i | −0.00454548 | − | 0.0213848i | ||||
\(713\) | −0.846744 | + | 1.16544i | −0.0317108 | + | 0.0436462i | ||||
\(714\) | −5.75371 | − | 11.2955i | −0.215327 | − | 0.422722i | ||||
\(715\) | −37.9739 | − | 53.4325i | −1.42014 | − | 1.99826i | ||||
\(716\) | 11.1377 | − | 6.43034i | 0.416234 | − | 0.240313i | ||||
\(717\) | 14.2681 | + | 8.67339i | 0.532853 | + | 0.323914i | ||||
\(718\) | −1.17775 | − | 1.30802i | −0.0439532 | − | 0.0488150i | ||||
\(719\) | 7.20815 | + | 6.49025i | 0.268819 | + | 0.242045i | 0.792504 | − | 0.609866i | \(-0.208777\pi\) |
−0.523686 | + | 0.851911i | \(0.675443\pi\) | |||||||
\(720\) | 10.8978 | − | 3.00387i | 0.406137 | − | 0.111948i | ||||
\(721\) | −0.342764 | + | 11.4700i | −0.0127652 | + | 0.427163i | ||||
\(722\) | 10.4669 | + | 32.2139i | 0.389539 | + | 1.19888i | ||||
\(723\) | 8.75529 | − | 9.29258i | 0.325613 | − | 0.345595i | ||||
\(724\) | −11.9506 | + | 5.32076i | −0.444141 | + | 0.197744i | ||||
\(725\) | 22.8628 | − | 39.5996i | 0.849104 | − | 1.47069i | ||||
\(726\) | −18.8436 | − | 2.81378i | −0.699353 | − | 0.104429i | ||||
\(727\) | 50.8145 | 1.88460 | 0.942302 | − | 0.334763i | \(-0.108656\pi\) | ||||
0.942302 | + | 0.334763i | \(0.108656\pi\) | |||||||
\(728\) | 13.4823 | + | 3.28954i | 0.499686 | + | 0.121918i | ||||
\(729\) | −4.79573 | − | 26.5707i | −0.177620 | − | 0.984099i | ||||
\(730\) | −35.8449 | + | 39.8098i | −1.32668 | + | 1.47343i | ||||
\(731\) | −14.7671 | + | 1.55209i | −0.546181 | + | 0.0574059i | ||||
\(732\) | 4.12404 | + | 4.79376i | 0.152429 | + | 0.177183i | ||||
\(733\) | −1.63832 | − | 1.47515i | −0.0605127 | − | 0.0544859i | 0.638319 | − | 0.769772i | \(-0.279630\pi\) |
−0.698832 | + | 0.715286i | \(0.746297\pi\) | |||||||
\(734\) | −10.8978 | + | 33.5399i | −0.402244 | + | 1.23798i | ||||
\(735\) | 33.2585 | − | 31.3213i | 1.22676 | − | 1.15530i | ||||
\(736\) | − | 0.264985i | − | 0.00976748i | ||||||
\(737\) | −12.1143 | + | 26.4610i | −0.446234 | + | 0.974705i | ||||
\(738\) | 13.6031 | + | 16.5545i | 0.500736 | + | 0.609381i | ||||
\(739\) | 15.9402 | + | 35.8022i | 0.586369 | + | 1.31701i | 0.926382 | + | 0.376585i | \(0.122902\pi\) |
−0.340013 | + | 0.940421i | \(0.610432\pi\) | |||||||
\(740\) | 3.27045 | + | 15.3863i | 0.120224 | + | 0.565610i | ||||
\(741\) | −40.0272 | + | 52.5531i | −1.47044 | + | 1.93059i | ||||
\(742\) | 3.65928 | − | 5.92217i | 0.134336 | − | 0.217410i | ||||
\(743\) | 15.3857 | − | 11.1784i | 0.564447 | − | 0.410095i | −0.268637 | − | 0.963242i | \(-0.586573\pi\) |
0.833084 | + | 0.553147i | \(0.186573\pi\) | |||||||
\(744\) | −9.33992 | − | 1.19561i | −0.342418 | − | 0.0438332i | ||||
\(745\) | −62.0222 | + | 55.8451i | −2.27232 | + | 2.04601i | ||||
\(746\) | −5.88280 | − | 13.2130i | −0.215385 | − | 0.483762i | ||||
\(747\) | −5.27892 | + | 0.874903i | −0.193146 | + | 0.0320110i | ||||
\(748\) | −0.0959135 | + | 9.17405i | −0.00350695 | + | 0.335436i | ||||
\(749\) | −13.2938 | + | 17.1930i | −0.485746 | + | 0.628217i | ||||
\(750\) | −27.3934 | − | 0.619161i | −1.00026 | − | 0.0226085i | ||||
\(751\) | 1.88501 | − | 0.400671i | 0.0687850 | − | 0.0146207i | −0.173391 | − | 0.984853i | \(-0.555472\pi\) |
0.242176 | + | 0.970232i | \(0.422139\pi\) | |||||||
\(752\) | 0.756757 | − | 3.56026i | 0.0275961 | − | 0.129829i | ||||
\(753\) | 0.979243 | + | 1.13827i | 0.0356856 | + | 0.0414807i | ||||
\(754\) | −10.6056 | + | 23.8205i | −0.386232 | + | 0.867492i | ||||
\(755\) | 9.19794 | + | 28.3083i | 0.334747 | + | 1.03025i | ||||
\(756\) | −2.76345 | + | 13.4671i | −0.100506 | + | 0.489794i | ||||
\(757\) | −15.2308 | − | 11.0658i | −0.553571 | − | 0.402193i | 0.275529 | − | 0.961293i | \(-0.411147\pi\) |
−0.829100 | + | 0.559100i | \(0.811147\pi\) | |||||||
\(758\) | −1.55606 | − | 2.69517i | −0.0565186 | − | 0.0978931i | ||||
\(759\) | −0.572850 | − | 1.41032i | −0.0207931 | − | 0.0511914i | ||||
\(760\) | 13.6994 | − | 23.7280i | 0.496928 | − | 0.860705i | ||||
\(761\) | −1.66051 | + | 15.7987i | −0.0601935 | + | 0.572703i | 0.922309 | + | 0.386453i | \(0.126300\pi\) |
−0.982502 | + | 0.186250i | \(0.940367\pi\) | |||||||
\(762\) | −3.05210 | − | 10.1698i | −0.110566 | − | 0.368415i | ||||
\(763\) | 14.9813 | − | 2.71940i | 0.542359 | − | 0.0984490i | ||||
\(764\) | 13.2399 | + | 18.2231i | 0.479001 | + | 0.659288i | ||||
\(765\) | −22.2691 | − | 21.9523i | −0.805139 | − | 0.793688i | ||||
\(766\) | −0.256078 | + | 1.20475i | −0.00925246 | + | 0.0435294i | ||||
\(767\) | −36.9907 | − | 41.0823i | −1.33566 | − | 1.48340i | ||||
\(768\) | 1.51919 | − | 0.831909i | 0.0548189 | − | 0.0300189i | ||||
\(769\) | − | 30.6858i | − | 1.10656i | −0.832996 | − | 0.553279i | \(-0.813376\pi\) | ||
0.832996 | − | 0.553279i | \(-0.186624\pi\) | |||||||
\(770\) | −31.8327 | + | 8.94137i | −1.14717 | + | 0.322225i | ||||
\(771\) | −21.4624 | + | 14.8641i | −0.772948 | + | 0.535318i | ||||
\(772\) | −3.31851 | − | 0.348790i | −0.119436 | − | 0.0125532i | ||||
\(773\) | −29.3633 | + | 26.4389i | −1.05613 | + | 0.950940i | −0.998875 | − | 0.0474197i | \(-0.984900\pi\) |
−0.0572509 | + | 0.998360i | \(0.518234\pi\) | |||||||
\(774\) | 13.5678 | + | 8.67351i | 0.487685 | + | 0.311763i | ||||
\(775\) | 45.6827 | + | 20.3392i | 1.64097 | + | 0.730607i | ||||
\(776\) | −3.28502 | + | 2.38671i | −0.117925 | + | 0.0856778i | ||||
\(777\) | −18.4778 | − | 4.95336i | −0.662887 | − | 0.177701i | ||||
\(778\) | 16.2558 | + | 5.28183i | 0.582798 | + | 0.189363i | ||||
\(779\) | 51.6484 | + | 5.42847i | 1.85050 | + | 0.194495i | ||||
\(780\) | 34.1180 | − | 2.80812i | 1.22162 | − | 0.100547i | ||||
\(781\) | 4.09500 | + | 4.64470i | 0.146531 | + | 0.166200i | ||||
\(782\) | −0.634805 | + | 0.366505i | −0.0227006 | + | 0.0131062i | ||||
\(783\) | −23.9691 | − | 9.62794i | −0.856585 | − | 0.344075i | ||||
\(784\) | 3.85575 | − | 5.84236i | 0.137705 | − | 0.208656i | ||||
\(785\) | 48.1682 | − | 15.6508i | 1.71920 | − | 0.558600i | ||||
\(786\) | −2.71715 | − | 14.3730i | −0.0969174 | − | 0.512667i | ||||
\(787\) | −16.8255 | + | 1.76843i | −0.599765 | + | 0.0630378i | −0.399546 | − | 0.916713i | \(-0.630832\pi\) |
−0.200219 | + | 0.979751i | \(0.564165\pi\) | |||||||
\(788\) | 1.40443 | + | 0.298521i | 0.0500308 | + | 0.0106344i | ||||
\(789\) | −6.04749 | − | 5.69783i | −0.215296 | − | 0.202848i | ||||
\(790\) | −3.61598 | − | 2.62716i | −0.128651 | − | 0.0934702i | ||||
\(791\) | 24.4269 | − | 10.0124i | 0.868519 | − | 0.355999i | ||||
\(792\) | 6.28708 | − | 7.71185i | 0.223402 | − | 0.274029i | ||||
\(793\) | 9.57511 | + | 16.5846i | 0.340022 | + | 0.588936i | ||||
\(794\) | −34.9333 | + | 15.5533i | −1.23974 | + | 0.551966i | ||||
\(795\) | 3.94901 | − | 16.7123i | 0.140057 | − | 0.592723i | ||||
\(796\) | 13.9868 | − | 15.5339i | 0.495748 | − | 0.550584i | ||||
\(797\) | −13.2536 | − | 18.2421i | −0.469468 | − | 0.646167i | 0.506970 | − | 0.861963i | \(-0.330765\pi\) |
−0.976438 | + | 0.215796i | \(0.930765\pi\) | |||||||
\(798\) | 18.1449 | + | 27.9476i | 0.642322 | + | 0.989335i | ||||
\(799\) | −9.57573 | + | 3.11134i | −0.338765 | + | 0.110071i | ||||
\(800\) | −8.99733 | + | 1.91244i | −0.318104 | + | 0.0676150i | ||||
\(801\) | 1.74700 | − | 0.104108i | 0.0617272 | − | 0.00367849i | ||||
\(802\) | 10.2179 | + | 5.89929i | 0.360806 | + | 0.208311i | ||||
\(803\) | −5.41863 | + | 46.8390i | −0.191219 | + | 1.65291i | ||||
\(804\) | −8.65313 | − | 12.4943i | −0.305172 | − | 0.440640i | ||||
\(805\) | −1.90951 | − | 1.82552i | −0.0673015 | − | 0.0643410i | ||||
\(806\) | −27.1199 | − | 8.81180i | −0.955259 | − | 0.310383i | ||||
\(807\) | 6.12737 | − | 47.8660i | 0.215694 | − | 1.68496i | ||||
\(808\) | 0.850095 | + | 8.08812i | 0.0299062 | + | 0.284539i | ||||
\(809\) | −1.49790 | − | 14.2516i | −0.0526634 | − | 0.501059i | −0.988781 | − | 0.149372i | \(-0.952275\pi\) |
0.936118 | − | 0.351687i | \(-0.114392\pi\) | |||||||
\(810\) | 4.02759 | + | 33.6726i | 0.141515 | + | 1.18313i | ||||
\(811\) | −10.1998 | − | 3.31412i | −0.358164 | − | 0.116375i | 0.124407 | − | 0.992231i | \(-0.460297\pi\) |
−0.482571 | + | 0.875857i | \(0.660297\pi\) | |||||||
\(812\) | 9.50678 | + | 9.08859i | 0.333623 | + | 0.318947i | ||||
\(813\) | 1.39684 | − | 0.967403i | 0.0489892 | − | 0.0339283i | ||||
\(814\) | 10.1917 | + | 9.37146i | 0.357220 | + | 0.328469i | ||||
\(815\) | 54.6671 | + | 31.5621i | 1.91491 | + | 1.10557i | ||||
\(816\) | −4.09415 | − | 2.48878i | −0.143324 | − | 0.0871246i | ||||
\(817\) | 38.1776 | − | 8.11490i | 1.33567 | − | 0.283905i | ||||
\(818\) | −11.6001 | + | 3.76909i | −0.405586 | + | 0.131783i | ||||
\(819\) | −15.7989 | + | 38.5192i | −0.552058 | + | 1.34597i | ||||
\(820\) | −15.8186 | − | 21.7724i | −0.552410 | − | 0.760327i | ||||
\(821\) | 28.1139 | − | 31.2236i | 0.981182 | − | 1.08971i | −0.0147763 | − | 0.999891i | \(-0.504704\pi\) |
0.995958 | − | 0.0898217i | \(-0.0286297\pi\) | |||||||
\(822\) | −13.4753 | − | 3.18415i | −0.470006 | − | 0.111060i | ||||
\(823\) | 19.7299 | − | 8.78432i | 0.687741 | − | 0.306202i | −0.0329515 | − | 0.999457i | \(-0.510491\pi\) |
0.720692 | + | 0.693255i | \(0.243824\pi\) | |||||||
\(824\) | 2.16859 | + | 3.75610i | 0.0755463 | + | 0.130850i | ||||
\(825\) | −43.7519 | + | 29.6291i | −1.52324 | + | 1.03155i | ||||
\(826\) | −25.8010 | + | 10.5756i | −0.897732 | + | 0.367972i | ||||
\(827\) | 5.57693 | + | 4.05188i | 0.193929 | + | 0.140898i | 0.680513 | − | 0.732736i | \(-0.261757\pi\) |
−0.486584 | + | 0.873634i | \(0.661757\pi\) | |||||||
\(828\) | 0.786038 | + | 0.118731i | 0.0273167 | + | 0.00412620i | ||||
\(829\) | 29.4868 | + | 6.26761i | 1.02412 | + | 0.217683i | 0.689206 | − | 0.724566i | \(-0.257960\pi\) |
0.334913 | + | 0.942249i | \(0.391293\pi\) | |||||||
\(830\) | 6.68408 | − | 0.702525i | 0.232008 | − | 0.0243850i | ||||
\(831\) | −8.67997 | + | 1.64091i | −0.301105 | + | 0.0569226i | ||||
\(832\) | 4.98858 | − | 1.62089i | 0.172948 | − | 0.0561941i | ||||
\(833\) | −19.3291 | − | 1.15628i | −0.669712 | − | 0.0400627i | ||||
\(834\) | −24.5513 | − | 0.554923i | −0.850144 | − | 0.0192154i | ||||
\(835\) | −82.0936 | + | 47.3968i | −2.84097 | + | 1.64023i | ||||
\(836\) | −2.26995 | − | 24.0091i | −0.0785079 | − | 0.830372i | ||||
\(837\) | 7.73153 | − | 27.1698i | 0.267241 | − | 0.939124i | ||||
\(838\) | 28.2934 | + | 2.97375i | 0.977379 | + | 0.102727i | ||||
\(839\) | −32.1237 | − | 10.4376i | −1.10903 | − | 0.360346i | −0.303460 | − | 0.952844i | \(-0.598142\pi\) |
−0.805572 | + | 0.592498i | \(0.798142\pi\) | |||||||
\(840\) | 4.47104 | − | 16.6786i | 0.154266 | − | 0.575465i | ||||
\(841\) | 3.46937 | − | 2.52065i | 0.119634 | − | 0.0869189i | ||||
\(842\) | 6.18056 | + | 2.75176i | 0.212996 | + | 0.0948319i | ||||
\(843\) | −15.1009 | − | 36.0906i | −0.520101 | − | 1.24303i | ||||
\(844\) | 4.16011 | − | 3.74578i | 0.143197 | − | 0.128935i | ||||
\(845\) | 54.3871 | + | 5.71631i | 1.87097 | + | 0.196647i | ||||
\(846\) | 10.2219 | + | 3.84005i | 0.351436 | + | 0.132024i | ||||
\(847\) | −18.2796 | + | 22.6463i | −0.628095 | + | 0.778137i | ||||
\(848\) | − | 2.63120i | − | 0.0903558i | ||||||
\(849\) | −3.74148 | − | 6.83248i | −0.128407 | − | 0.234490i | ||||
\(850\) | 17.0258 | + | 18.9091i | 0.583981 | + | 0.648577i | ||||
\(851\) | −0.229991 | + | 1.08202i | −0.00788398 | + | 0.0370912i | ||||
\(852\) | −3.17744 | + | 0.600682i | −0.108857 | + | 0.0205790i | ||||
\(853\) | −13.5888 | − | 18.7034i | −0.465272 | − | 0.640393i | 0.510319 | − | 0.859985i | \(-0.329527\pi\) |
−0.975592 | + | 0.219592i | \(0.929527\pi\) | |||||||
\(854\) | 9.50414 | − | 1.72519i | 0.325225 | − | 0.0590348i | ||||
\(855\) | 64.2473 | + | 51.2689i | 2.19721 | + | 1.75336i | ||||
\(856\) | −0.858629 | + | 8.16931i | −0.0293473 | + | 0.279221i | ||||
\(857\) | −0.268054 | + | 0.464283i | −0.00915654 | + | 0.0158596i | −0.870567 | − | 0.492049i | \(-0.836248\pi\) |
0.861411 | + | 0.507909i | \(0.169581\pi\) | |||||||
\(858\) | 23.0465 | − | 19.4112i | 0.786794 | − | 0.662687i | ||||
\(859\) | −2.03799 | − | 3.52991i | −0.0695354 | − | 0.120439i | 0.829161 | − | 0.559009i | \(-0.188818\pi\) |
−0.898697 | + | 0.438570i | \(0.855485\pi\) | |||||||
\(860\) | −16.3632 | − | 11.8886i | −0.557981 | − | 0.405397i | ||||
\(861\) | 32.3272 | − | 5.11636i | 1.10171 | − | 0.174365i | ||||
\(862\) | 0.272047 | + | 0.837275i | 0.00926596 | + | 0.0285177i | ||||
\(863\) | 4.70051 | − | 10.5575i | 0.160007 | − | 0.359382i | −0.815695 | − | 0.578482i | \(-0.803645\pi\) |
0.975702 | + | 0.219100i | \(0.0703121\pi\) | |||||||
\(864\) | 1.78703 | + | 4.87919i | 0.0607961 | + | 0.165993i | ||||
\(865\) | 8.25843 | − | 38.8529i | 0.280795 | − | 1.32104i | ||||
\(866\) | 16.6046 | − | 3.52942i | 0.564248 | − | 0.119935i | ||||
\(867\) | 0.365868 | − | 16.1870i | 0.0124255 | − | 0.549740i | ||||
\(868\) | −8.79815 | + | 11.3787i | −0.298629 | + | 0.386217i | ||||
\(869\) | −3.93389 | − | 0.0411283i | −0.133448 | − | 0.00139518i | ||||
\(870\) | 29.3330 | + | 13.8624i | 0.994482 | + | 0.469979i | ||||
\(871\) | −18.7204 | − | 42.0466i | −0.634315 | − | 1.42469i | ||||
\(872\) | 4.27674 | − | 3.85080i | 0.144829 | − | 0.130404i | ||||
\(873\) | −5.60790 | − | 10.8139i | −0.189799 | − | 0.365996i | ||||
\(874\) | 1.55880 | − | 1.13254i | 0.0527272 | − | 0.0383086i | ||||
\(875\) | −22.0008 | + | 35.6060i | −0.743762 | + | 1.20370i | ||||
\(876\) | −19.5891 | − | 14.9201i | −0.661855 | − | 0.504103i | ||||
\(877\) | −11.4244 | − | 53.7477i | −0.385776 | − | 1.81493i | −0.557961 | − | 0.829867i | \(-0.688416\pi\) |
0.172186 | − | 0.985064i | \(-0.444917\pi\) | |||||||
\(878\) | −3.10382 | − | 6.97129i | −0.104749 | − | 0.235269i | ||||
\(879\) | −34.5526 | + | 2.84390i | −1.16543 | + | 0.0959222i | ||||
\(880\) | −8.45894 | + | 9.19935i | −0.285151 | + | 0.310110i | ||||
\(881\) | − | 43.8473i | − | 1.47725i | −0.674115 | − | 0.738627i | \(-0.735475\pi\) | ||
0.674115 | − | 0.738627i | \(-0.264525\pi\) | |||||||
\(882\) | 15.6028 | + | 14.0553i | 0.525375 | + | 0.473266i | ||||
\(883\) | −0.552650 | + | 1.70088i | −0.0185982 | + | 0.0572392i | −0.959925 | − | 0.280257i | \(-0.909580\pi\) |
0.941327 | + | 0.337497i | \(0.109580\pi\) | |||||||
\(884\) | −10.7828 | − | 9.70889i | −0.362665 | − | 0.326545i | ||||
\(885\) | −52.1438 | + | 44.8590i | −1.75279 | + | 1.50792i | ||||
\(886\) | −8.46599 | + | 0.889811i | −0.284420 | + | 0.0298938i | ||||
\(887\) | 0.596791 | − | 0.662803i | 0.0200383 | − | 0.0222548i | −0.733042 | − | 0.680183i | \(-0.761900\pi\) |
0.753081 | + | 0.657928i | \(0.228567\pi\) | |||||||
\(888\) | −6.92538 | + | 2.07840i | −0.232401 | + | 0.0697465i | ||||
\(889\) | −15.7570 | − | 3.84454i | −0.528472 | − | 0.128942i | ||||
\(890\) | −2.19816 | −0.0736826 | ||||||||
\(891\) | 20.0590 | + | 22.1051i | 0.672002 | + | 0.740549i | ||||
\(892\) | 9.59420 | − | 16.6176i | 0.321238 | − | 0.556400i | ||||
\(893\) | 24.1779 | − | 10.7647i | 0.809084 | − | 0.360227i | ||||
\(894\) | −27.9221 | − | 26.3077i | −0.933856 | − | 0.879862i | ||||
\(895\) | −14.9749 | − | 46.0881i | −0.500557 | − | 1.54056i | ||||
\(896\) | 0.0790295 | − | 2.64457i | 0.00264019 | − | 0.0883489i | ||||
\(897\) | 2.27220 | + | 0.795482i | 0.0758665 | + | 0.0265604i | ||||
\(898\) | −15.5492 | − | 14.0006i | −0.518885 | − | 0.467206i | ||||
\(899\) | −18.0831 | − | 20.0833i | −0.603106 | − | 0.669817i | ||||
\(900\) | −1.64155 | − | 27.5461i | −0.0547183 | − | 0.918205i | ||||
\(901\) | −6.30337 | + | 3.63925i | −0.209996 | + | 0.121241i | ||||
\(902\) | −22.4508 | − | 7.55509i | −0.747530 | − | 0.251557i | ||||
\(903\) | 21.9184 | − | 11.1648i | 0.729398 | − | 0.371542i | ||||
\(904\) | 5.86490 | − | 8.07235i | 0.195064 | − | 0.268482i | ||||
\(905\) | 10.2484 | + | 48.2151i | 0.340670 | + | 1.60273i | ||||
\(906\) | −12.6217 | + | 5.28111i | −0.419328 | + | 0.175453i | ||||
\(907\) | 2.44984 | + | 23.3087i | 0.0813456 | + | 0.773952i | 0.956819 | + | 0.290685i | \(0.0938832\pi\) |
−0.875473 | + | 0.483267i | \(0.839450\pi\) | |||||||
\(908\) | 7.72512 | + | 3.43945i | 0.256367 | + | 0.114142i | ||||
\(909\) | −24.3731 | − | 1.10235i | −0.808404 | − | 0.0365627i | ||||
\(910\) | 22.6867 | − | 47.1148i | 0.752056 | − | 1.56184i | ||||
\(911\) | −32.4753 | + | 44.6985i | −1.07596 | + | 1.48093i | −0.212059 | + | 0.977257i | \(0.568017\pi\) |
−0.863897 | + | 0.503669i | \(0.831983\pi\) | |||||||
\(912\) | 11.3867 | + | 5.38122i | 0.377052 | + | 0.178190i | ||||
\(913\) | 4.43735 | − | 3.91219i | 0.146855 | − | 0.129474i | ||||
\(914\) | 26.0849 | + | 15.0601i | 0.862813 | + | 0.498145i | ||||
\(915\) | 20.8994 | − | 11.4445i | 0.690912 | − | 0.378345i | ||||
\(916\) | 6.43451 | − | 19.8034i | 0.212602 | − | 0.654323i | ||||
\(917\) | −21.0346 | − | 7.53633i | −0.694624 | − | 0.248872i | ||||
\(918\) | 9.21704 | − | 11.0295i | 0.304208 | − | 0.364029i | ||||
\(919\) | 10.0641 | − | 22.6043i | 0.331983 | − | 0.745647i | −0.668016 | − | 0.744147i | \(-0.732856\pi\) |
0.999999 | − | 0.00149932i | \(-0.000477249\pi\) | |||||||
\(920\) | −0.976662 | − | 0.207596i | −0.0321996 | − | 0.00684424i | ||||
\(921\) | 48.9459 | + | 11.5656i | 1.61282 | + | 0.381101i | ||||
\(922\) | −3.08055 | + | 29.3095i | −0.101453 | + | 0.965256i | ||||
\(923\) | −9.79293 | −0.322338 | ||||||||
\(924\) | −5.29647 | − | 14.2460i | −0.174241 | − | 0.468658i | ||||
\(925\) | 38.3989 | 1.26255 | ||||||||
\(926\) | 0.560447 | − | 5.33230i | 0.0184174 | − | 0.175230i | ||||
\(927\) | −12.1136 | + | 4.74979i | −0.397862 | + | 0.156004i | ||||
\(928\) | 4.86245 | + | 1.03355i | 0.159618 | + | 0.0339278i | ||||
\(929\) | 16.8602 | − | 37.8687i | 0.553166 | − | 1.24243i | −0.393235 | − | 0.919438i | \(-0.628644\pi\) |
0.946401 | − | 0.322993i | \(-0.104689\pi\) | |||||||
\(930\) | −11.7238 | + | 33.4877i | −0.384439 | + | 1.09811i | ||||
\(931\) | 50.8476 | − | 2.28817i | 1.66646 | − | 0.0749917i | ||||
\(932\) | −1.43198 | + | 4.40717i | −0.0469060 | + | 0.144362i | ||||
\(933\) | −12.9378 | − | 23.6264i | −0.423566 | − | 0.773493i | ||||
\(934\) | −20.0659 | − | 11.5851i | −0.656577 | − | 0.379075i | ||||
\(935\) | 33.7379 | + | 7.54069i | 1.10335 | + | 0.246607i | ||||
\(936\) | 2.57289 | + | 15.5241i | 0.0840977 | + | 0.507422i | ||||
\(937\) | −22.4025 | + | 30.8343i | −0.731856 | + | 1.00731i | 0.267190 | + | 0.963644i | \(0.413905\pi\) |
−0.999046 | + | 0.0436700i | \(0.986095\pi\) | |||||||
\(938\) | −23.1506 | + | 1.73595i | −0.755893 | + | 0.0566807i | ||||
\(939\) | 27.1407 | − | 35.6340i | 0.885704 | − | 1.16287i | ||||
\(940\) | −12.5293 | − | 5.57840i | −0.408660 | − | 0.181947i | ||||
\(941\) | −4.89801 | − | 46.6014i | −0.159670 | − | 1.51916i | −0.721793 | − | 0.692109i | \(-0.756682\pi\) |
0.562123 | − | 0.827054i | \(-0.309985\pi\) | |||||||
\(942\) | 8.98610 | + | 21.4765i | 0.292783 | + | 0.699742i | ||||
\(943\) | −0.393488 | − | 1.85121i | −0.0128137 | − | 0.0602838i | ||||
\(944\) | −6.19483 | + | 8.52646i | −0.201625 | + | 0.277513i | ||||
\(945\) | 47.4712 | + | 20.7358i | 1.54424 | + | 0.674536i | ||||
\(946\) | −17.8019 | − | 0.186116i | −0.578788 | − | 0.00605116i | ||||
\(947\) | 28.3906 | − | 16.3913i | 0.922570 | − | 0.532646i | 0.0381157 | − | 0.999273i | \(-0.487864\pi\) |
0.884454 | + | 0.466627i | \(0.154531\pi\) | |||||||
\(948\) | 1.06720 | − | 1.75560i | 0.0346611 | − | 0.0570192i | ||||
\(949\) | −49.8976 | − | 55.4169i | −1.61974 | − | 1.79891i | ||||
\(950\) | −49.7044 | − | 44.7540i | −1.61262 | − | 1.45201i | ||||
\(951\) | −1.88762 | + | 5.39177i | −0.0612104 | + | 0.174840i | ||||
\(952\) | −6.44471 | + | 3.46842i | −0.208874 | + | 0.112412i | ||||
\(953\) | −11.7934 | − | 36.2964i | −0.382026 | − | 1.17575i | −0.938615 | − | 0.344966i | \(-0.887890\pi\) |
0.556589 | − | 0.830788i | \(-0.312110\pi\) | |||||||
\(954\) | 7.80506 | + | 1.17896i | 0.252698 | + | 0.0381702i | ||||
\(955\) | 77.5378 | − | 34.5220i | 2.50906 | − | 1.11711i | ||||
\(956\) | 4.82016 | − | 8.34876i | 0.155895 | − | 0.270018i | ||||
\(957\) | 28.1136 | − | 5.01093i | 0.908783 | − | 0.161980i | ||||
\(958\) | 22.9808 | 0.742477 | ||||||||
\(959\) | −14.6158 | + | 15.2883i | −0.471969 | + | 0.493686i | ||||
\(960\) | −1.87602 | − | 6.25104i | −0.0605483 | − | 0.201752i | ||||
\(961\) | −0.967207 | + | 1.07419i | −0.0312002 | + | 0.0346514i | ||||
\(962\) | −21.7768 | + | 2.28884i | −0.702113 | + | 0.0737951i | ||||
\(963\) | −23.8483 | − | 6.20740i | −0.768501 | − | 0.200031i | ||||
\(964\) | −5.47792 | − | 4.93235i | −0.176432 | − | 0.158860i | ||||
\(965\) | −3.88535 | + | 11.9579i | −0.125074 | + | 0.384938i | ||||
\(966\) | 0.764300 | − | 0.943612i | 0.0245909 | − | 0.0303602i | ||||
\(967\) | − | 53.0722i | − | 1.70669i | −0.521348 | − | 0.853344i | \(-0.674571\pi\) | ||
0.521348 | − | 0.853344i | \(-0.325429\pi\) | |||||||
\(968\) | −1.37828 | + | 10.9133i | −0.0442997 | + | 0.350767i | ||||
\(969\) | −2.85777 | − | 34.7212i | −0.0918047 | − | 1.11541i | ||||
\(970\) | 6.22318 | + | 13.9775i | 0.199814 | + | 0.448791i | ||||
\(971\) | 7.18949 | + | 33.8239i | 0.230722 | + | 1.08546i | 0.929128 | + | 0.369758i | \(0.120560\pi\) |
−0.698406 | + | 0.715701i | \(0.746107\pi\) | |||||||
\(972\) | −15.2741 | + | 3.11476i | −0.489917 | + | 0.0999058i | ||||
\(973\) | −19.7182 | + | 31.9119i | −0.632137 | + | 1.02305i | ||||
\(974\) | 17.8171 | − | 12.9449i | 0.570897 | − | 0.414781i | ||||
\(975\) | 10.6110 | − | 82.8917i | 0.339825 | − | 2.65466i | ||||
\(976\) | 2.71317 | − | 2.44295i | 0.0868464 | − | 0.0781969i | ||||
\(977\) | 7.36235 | + | 16.5361i | 0.235542 | + | 0.529037i | 0.992183 | − | 0.124795i | \(-0.0398272\pi\) |
−0.756640 | + | 0.653831i | \(0.773161\pi\) | |||||||
\(978\) | −12.3978 | + | 26.2340i | −0.396439 | + | 0.838870i | ||||
\(979\) | −1.57709 | + | 1.12082i | −0.0504042 | + | 0.0358217i | ||||
\(980\) | −18.5127 | − | 18.7883i | −0.591365 | − | 0.600170i | ||||
\(981\) | 9.50654 | + | 14.4117i | 0.303520 | + | 0.460131i | ||||
\(982\) | 2.21743 | − | 0.471330i | 0.0707611 | − | 0.0150407i | ||||
\(983\) | 0.0521669 | − | 0.245426i | 0.00166386 | − | 0.00782787i | −0.977308 | − | 0.211824i | \(-0.932060\pi\) |
0.978972 | + | 0.203996i | \(0.0653930\pi\) | |||||||
\(984\) | 9.37786 | − | 8.06771i | 0.298955 | − | 0.257189i | ||||
\(985\) | 2.20053 | − | 4.94248i | 0.0701149 | − | 0.157481i | ||||
\(986\) | −4.24934 | − | 13.0781i | −0.135326 | − | 0.416492i | ||||
\(987\) | 12.9637 | − | 10.4954i | 0.412640 | − | 0.334071i | ||||
\(988\) | 30.8560 | + | 22.4182i | 0.981661 | + | 0.713218i | ||||
\(989\) | −0.711187 | − | 1.23181i | −0.0226144 | − | 0.0391694i | ||||
\(990\) | −23.4983 | − | 29.2141i | −0.746825 | − | 0.928486i | ||||
\(991\) | 0.295776 | − | 0.512299i | 0.00939564 | − | 0.0162737i | −0.861289 | − | 0.508115i | \(-0.830343\pi\) |
0.870685 | + | 0.491841i | \(0.163676\pi\) | |||||||
\(992\) | −0.568259 | + | 5.40663i | −0.0180423 | + | 0.171661i | ||||
\(993\) | 28.0146 | − | 8.40756i | 0.889018 | − | 0.266806i | ||||
\(994\) | −1.66606 | + | 4.65014i | −0.0528443 | + | 0.147494i | ||||
\(995\) | −46.2961 | − | 63.7211i | −1.46769 | − | 2.02010i | ||||
\(996\) | 0.573867 | + | 3.03560i | 0.0181837 | + | 0.0961865i | ||||
\(997\) | 1.34605 | − | 6.33264i | 0.0426297 | − | 0.200557i | −0.951679 | − | 0.307095i | \(-0.900643\pi\) |
0.994309 | + | 0.106538i | \(0.0339765\pi\) | |||||||
\(998\) | 28.0074 | + | 31.1053i | 0.886557 | + | 0.984622i | ||||
\(999\) | −3.06221 | − | 21.4744i | −0.0968840 | − | 0.679419i |
(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 | 462.2.bc.a.95.10 | ✓ | 128 | |
3.2 | odd | 2 | 462.2.bc.b.95.2 | yes | 128 | ||
7.2 | even | 3 | inner | 462.2.bc.a.359.12 | yes | 128 | |
11.8 | odd | 10 | 462.2.bc.b.305.10 | yes | 128 | ||
21.2 | odd | 6 | 462.2.bc.b.359.10 | yes | 128 | ||
33.8 | even | 10 | inner | 462.2.bc.a.305.12 | yes | 128 | |
77.30 | odd | 30 | 462.2.bc.b.107.2 | yes | 128 | ||
231.107 | even | 30 | inner | 462.2.bc.a.107.10 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.bc.a.95.10 | ✓ | 128 | 1.1 | even | 1 | trivial | |
462.2.bc.a.107.10 | yes | 128 | 231.107 | even | 30 | inner | |
462.2.bc.a.305.12 | yes | 128 | 33.8 | even | 10 | inner | |
462.2.bc.a.359.12 | yes | 128 | 7.2 | even | 3 | inner | |
462.2.bc.b.95.2 | yes | 128 | 3.2 | odd | 2 | ||
462.2.bc.b.107.2 | yes | 128 | 77.30 | odd | 30 | ||
462.2.bc.b.305.10 | yes | 128 | 11.8 | odd | 10 | ||
462.2.bc.b.359.10 | yes | 128 | 21.2 | odd | 6 |