Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(37,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.bk (of order \(24\), degree \(8\), not 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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | no (minimal twist has level 288) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 37.18 | ||
Character | \(\chi\) | \(=\) | 864.37 |
Dual form | 864.2.bk.a.397.18 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.624817 | − | 1.26870i | −0.441812 | − | 0.897108i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.21921 | + | 1.58541i | −0.609604 | + | 0.792706i | ||||
\(5\) | 1.33786 | − | 1.02658i | 0.598309 | − | 0.459099i | −0.264670 | − | 0.964339i | \(-0.585263\pi\) |
0.862979 | + | 0.505240i | \(0.168596\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.437818 | + | 1.63396i | −0.165480 | + | 0.617578i | 0.832499 | + | 0.554027i | \(0.186909\pi\) |
−0.997979 | + | 0.0635516i | \(0.979757\pi\) | |||||||
\(8\) | 2.77320 | + | 0.556221i | 0.980473 | + | 0.196654i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.13834 | − | 1.05592i | −0.676201 | − | 0.333912i | ||||
\(11\) | −1.50780 | + | 0.198506i | −0.454620 | + | 0.0598519i | −0.354359 | − | 0.935109i | \(-0.615301\pi\) |
−0.100261 | + | 0.994961i | \(0.531968\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.427656 | + | 3.24837i | −0.118610 | + | 0.900936i | 0.823894 | + | 0.566743i | \(0.191797\pi\) |
−0.942505 | + | 0.334192i | \(0.891536\pi\) | |||||||
\(14\) | 2.34656 | − | 0.465464i | 0.627145 | − | 0.124400i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.02706 | − | 3.86590i | −0.256765 | − | 0.966474i | ||||
\(17\) | 4.41051i | 1.06971i | 0.844945 | + | 0.534853i | \(0.179633\pi\) | ||||
−0.844945 | + | 0.534853i | \(0.820367\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.86961 | − | 1.18863i | 0.658334 | − | 0.272691i | −0.0284035 | − | 0.999597i | \(-0.509042\pi\) |
0.686737 | + | 0.726906i | \(0.259042\pi\) | |||||||
\(20\) | −0.00358480 | + | 3.37267i | −0.000801585 | + | 0.754152i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.19395 | + | 1.78892i | 0.254550 | + | 0.381400i | ||||
\(23\) | −0.0685874 | − | 0.255972i | −0.0143015 | − | 0.0533738i | 0.958406 | − | 0.285407i | \(-0.0921288\pi\) |
−0.972708 | + | 0.232033i | \(0.925462\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.558085 | + | 2.08280i | −0.111617 | + | 0.416560i | ||||
\(26\) | 4.38842 | − | 1.48707i | 0.860640 | − | 0.291638i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.05671 | − | 2.68626i | −0.388681 | − | 0.507655i | ||||
\(29\) | −4.77447 | + | 6.22221i | −0.886597 | + | 1.15544i | 0.100440 | + | 0.994943i | \(0.467975\pi\) |
−0.987037 | + | 0.160492i | \(0.948692\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.70850 | − | 2.95921i | 0.306856 | − | 0.531489i | −0.670817 | − | 0.741623i | \(-0.734056\pi\) |
0.977673 | + | 0.210133i | \(0.0673898\pi\) | |||||||
\(32\) | −4.26294 | + | 3.71851i | −0.753589 | + | 0.657346i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.59562 | − | 2.75576i | 0.959641 | − | 0.472609i | ||||
\(35\) | 1.09164 | + | 2.63546i | 0.184521 | + | 0.445474i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.55158 | + | 1.88532i | 0.748275 | + | 0.309945i | 0.724037 | − | 0.689761i | \(-0.242284\pi\) |
0.0242372 | + | 0.999706i | \(0.492284\pi\) | |||||||
\(38\) | −3.30100 | − | 2.89800i | −0.535493 | − | 0.470118i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.28115 | − | 2.10275i | 0.676909 | − | 0.332474i | ||||
\(41\) | 2.70179 | + | 10.0832i | 0.421949 | + | 1.57474i | 0.770496 | + | 0.637445i | \(0.220009\pi\) |
−0.348547 | + | 0.937291i | \(0.613325\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −11.3541 | + | 1.49479i | −1.73148 | + | 0.227953i | −0.929350 | − | 0.369199i | \(-0.879632\pi\) |
−0.802128 | + | 0.597153i | \(0.796299\pi\) | |||||||
\(44\) | 1.52361 | − | 2.63251i | 0.229693 | − | 0.396866i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.281897 | + | 0.246952i | −0.0415635 | + | 0.0364111i | ||||
\(47\) | 5.48788 | − | 3.16843i | 0.800489 | − | 0.462163i | −0.0431530 | − | 0.999068i | \(-0.513740\pi\) |
0.843642 | + | 0.536906i | \(0.180407\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.58404 | + | 2.06925i | 0.512006 | + | 0.295607i | ||||
\(50\) | 2.99115 | − | 0.593325i | 0.423013 | − | 0.0839088i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.62860 | − | 4.63845i | −0.641872 | − | 0.643238i | ||||
\(53\) | −0.907259 | + | 2.19032i | −0.124622 | + | 0.300863i | −0.973861 | − | 0.227145i | \(-0.927061\pi\) |
0.849239 | + | 0.528008i | \(0.177061\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.81345 | + | 1.81345i | −0.244525 | + | 0.244525i | ||||
\(56\) | −2.12300 | + | 4.28776i | −0.283697 | + | 0.572977i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 10.8773 | + | 2.16964i | 1.42826 | + | 0.284888i | ||||
\(59\) | 7.99535 | − | 6.13505i | 1.04091 | − | 0.798715i | 0.0609922 | − | 0.998138i | \(-0.480574\pi\) |
0.979913 | + | 0.199423i | \(0.0639069\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.95479 | − | 3.85076i | 0.378322 | − | 0.493039i | −0.564920 | − | 0.825146i | \(-0.691093\pi\) |
0.943242 | + | 0.332107i | \(0.107760\pi\) | |||||||
\(62\) | −4.82185 | − | 0.318614i | −0.612376 | − | 0.0404641i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.38124 | + | 3.08502i | 0.922655 | + | 0.385627i | ||||
\(65\) | 2.76255 | + | 4.78489i | 0.342653 | + | 0.593492i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.1544 | + | 1.33685i | 1.24055 | + | 0.163322i | 0.722103 | − | 0.691786i | \(-0.243176\pi\) |
0.518451 | + | 0.855108i | \(0.326509\pi\) | |||||||
\(68\) | −6.99247 | − | 5.37733i | −0.847962 | − | 0.652097i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.66154 | − | 3.03165i | 0.318114 | − | 0.362351i | ||||
\(71\) | 7.70797 | + | 7.70797i | 0.914768 | + | 0.914768i | 0.996643 | − | 0.0818747i | \(-0.0260907\pi\) |
−0.0818747 | + | 0.996643i | \(0.526091\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.54934 | − | 5.54934i | 0.649501 | − | 0.649501i | −0.303371 | − | 0.952873i | \(-0.598112\pi\) |
0.952873 | + | 0.303371i | \(0.0981122\pi\) | |||||||
\(74\) | −0.451985 | − | 6.95258i | −0.0525422 | − | 0.808221i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.61418 | + | 5.99870i | −0.185160 | + | 0.688098i | ||||
\(77\) | 0.335793 | − | 2.55060i | 0.0382671 | − | 0.290668i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.63729 | + | 4.40939i | −0.859262 | + | 0.496095i | −0.863765 | − | 0.503895i | \(-0.831900\pi\) |
0.00450297 | + | 0.999990i | \(0.498567\pi\) | |||||||
\(80\) | −5.34270 | − | 4.11767i | −0.597332 | − | 0.460370i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 11.1045 | − | 9.72794i | 1.22629 | − | 1.07427i | ||||
\(83\) | −3.96569 | − | 3.04298i | −0.435291 | − | 0.334011i | 0.367760 | − | 0.929921i | \(-0.380125\pi\) |
−0.803051 | + | 0.595910i | \(0.796791\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.52772 | + | 5.90064i | 0.491101 | + | 0.640015i | ||||
\(86\) | 8.99065 | + | 13.4709i | 0.969486 | + | 1.45261i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.29185 | − | 0.288176i | −0.457513 | − | 0.0307196i | ||||
\(89\) | −3.40163 | − | 3.40163i | −0.360572 | − | 0.360572i | 0.503451 | − | 0.864024i | \(-0.332063\pi\) |
−0.864024 | + | 0.503451i | \(0.832063\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.12047 | − | 2.12097i | −0.536771 | − | 0.222338i | ||||
\(92\) | 0.489443 | + | 0.203344i | 0.0510279 | + | 0.0212000i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.44871 | − | 4.98279i | −0.768275 | − | 0.513936i | ||||
\(95\) | 2.61892 | − | 4.53609i | 0.268695 | − | 0.465394i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.784666 | − | 1.35908i | −0.0796707 | − | 0.137994i | 0.823437 | − | 0.567407i | \(-0.192054\pi\) |
−0.903108 | + | 0.429414i | \(0.858720\pi\) | |||||||
\(98\) | 0.385890 | − | 5.83998i | 0.0389807 | − | 0.589927i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.62167 | − | 3.42416i | −0.262167 | − | 0.342416i | ||||
\(101\) | −0.842202 | − | 6.39716i | −0.0838022 | − | 0.636541i | −0.980872 | − | 0.194652i | \(-0.937642\pi\) |
0.897070 | − | 0.441888i | \(-0.145691\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.61309 | + | 2.30787i | −0.848673 | + | 0.227401i | −0.656843 | − | 0.754027i | \(-0.728109\pi\) |
−0.191829 | + | 0.981428i | \(0.561442\pi\) | |||||||
\(104\) | −2.99279 | + | 8.77050i | −0.293467 | + | 0.860018i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.34573 | − | 0.217505i | 0.324966 | − | 0.0211260i | ||||
\(107\) | 1.32664 | − | 3.20278i | 0.128251 | − | 0.309625i | −0.846691 | − | 0.532085i | \(-0.821409\pi\) |
0.974942 | + | 0.222460i | \(0.0714087\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.2155 | − | 4.23139i | 0.978466 | − | 0.405294i | 0.164609 | − | 0.986359i | \(-0.447364\pi\) |
0.813857 | + | 0.581065i | \(0.197364\pi\) | |||||||
\(110\) | 3.43380 | + | 1.16765i | 0.327400 | + | 0.111331i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.76638 | + | 0.0143839i | 0.639363 | + | 0.00135915i | ||||
\(113\) | 7.14475 | + | 4.12502i | 0.672122 | + | 0.388050i | 0.796880 | − | 0.604137i | \(-0.206482\pi\) |
−0.124758 | + | 0.992187i | \(0.539816\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.354535 | − | 0.272044i | −0.0330605 | − | 0.0253682i | ||||
\(116\) | −4.04369 | − | 15.1557i | −0.375447 | − | 1.40717i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −12.7792 | − | 6.31043i | −1.17642 | − | 0.580923i | ||||
\(119\) | −7.20659 | − | 1.93100i | −0.660627 | − | 0.177014i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.39111 | + | 2.24839i | −0.762829 | + | 0.204399i | ||||
\(122\) | −6.73166 | − | 1.34273i | −0.609456 | − | 0.121565i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.60855 | + | 6.31657i | 0.234254 | + | 0.567244i | ||||
\(125\) | 4.61818 | + | 11.1493i | 0.413062 | + | 0.997220i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.4359 | −1.45845 | −0.729225 | − | 0.684274i | \(-0.760119\pi\) | ||||
−0.729225 | + | 0.684274i | \(0.760119\pi\) | |||||||
\(128\) | −0.697949 | − | 11.2922i | −0.0616905 | − | 0.998095i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.34450 | − | 6.49453i | 0.381038 | − | 0.569608i | ||||
\(131\) | −5.24655 | − | 0.690722i | −0.458394 | − | 0.0603487i | −0.102206 | − | 0.994763i | \(-0.532590\pi\) |
−0.356187 | + | 0.934415i | \(0.615923\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.685808 | + | 5.20923i | 0.0594671 | + | 0.451697i | ||||
\(134\) | −4.64855 | − | 13.7181i | −0.401574 | − | 1.18507i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.45322 | + | 12.2312i | −0.210362 | + | 1.04882i | ||||
\(137\) | 18.5984 | + | 4.98343i | 1.58897 | + | 0.425763i | 0.941688 | − | 0.336488i | \(-0.109239\pi\) |
0.647282 | + | 0.762251i | \(0.275906\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.62307 | + | 3.41845i | 0.222486 | + | 0.289949i | 0.891238 | − | 0.453536i | \(-0.149838\pi\) |
−0.668752 | + | 0.743486i | \(0.733171\pi\) | |||||||
\(140\) | −5.50923 | − | 1.48247i | −0.465615 | − | 0.125292i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.96305 | − | 14.5952i | 0.416490 | − | 1.22480i | ||||
\(143\) | − | 4.98280i | − | 0.416683i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 13.2258i | 1.09834i | ||||||||
\(146\) | −10.5078 | − | 3.57314i | −0.869630 | − | 0.295715i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −8.53834 | + | 4.91752i | −0.701847 | + | 0.404218i | ||||
\(149\) | −13.0949 | − | 17.0656i | −1.07278 | − | 1.39807i | −0.911567 | − | 0.411151i | \(-0.865127\pi\) |
−0.161210 | − | 0.986920i | \(-0.551540\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.70334 | − | 1.52821i | −0.464132 | − | 0.124364i | 0.0191726 | − | 0.999816i | \(-0.493897\pi\) |
−0.483304 | + | 0.875453i | \(0.660563\pi\) | |||||||
\(152\) | 8.61913 | − | 1.70017i | 0.699104 | − | 0.137902i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.44576 | + | 1.16764i | −0.277667 | + | 0.0940908i | ||||
\(155\) | −0.752119 | − | 5.71291i | −0.0604116 | − | 0.458872i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −23.3999 | − | 3.08065i | −1.86751 | − | 0.245863i | −0.889882 | − | 0.456191i | \(-0.849213\pi\) |
−0.977631 | + | 0.210329i | \(0.932547\pi\) | |||||||
\(158\) | 10.3661 | + | 6.93438i | 0.824683 | + | 0.551670i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.88589 | + | 9.35108i | −0.149093 | + | 0.739268i | ||||
\(161\) | 0.448276 | 0.0353291 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.99541 | + | 21.7168i | 0.704575 | + | 1.70099i | 0.713132 | + | 0.701030i | \(0.247276\pi\) |
−0.00855734 | + | 0.999963i | \(0.502724\pi\) | |||||||
\(164\) | −19.2801 | − | 8.01011i | −1.50552 | − | 0.625484i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.38281 | + | 6.93258i | −0.107327 | + | 0.538073i | ||||
\(167\) | −0.501235 | + | 0.134305i | −0.0387867 | + | 0.0103929i | −0.278160 | − | 0.960535i | \(-0.589725\pi\) |
0.239374 | + | 0.970928i | \(0.423058\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.18802 | + | 0.586277i | 0.168309 | + | 0.0450982i | ||||
\(170\) | 4.65716 | − | 9.43115i | 0.357188 | − | 0.723336i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 11.4731 | − | 19.8233i | 0.874816 | − | 1.51151i | ||||
\(173\) | 13.3025 | + | 10.2073i | 1.01137 | + | 0.776050i | 0.974754 | − | 0.223280i | \(-0.0716763\pi\) |
0.0366133 | + | 0.999330i | \(0.488343\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.15887 | − | 1.82377i | −0.238788 | − | 0.137864i | ||||
\(176\) | 2.31601 | + | 5.62514i | 0.174576 | + | 0.424011i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.19026 | + | 6.44105i | −0.164167 | + | 0.482777i | ||||
\(179\) | 1.92799 | − | 0.798600i | 0.144105 | − | 0.0596901i | −0.309465 | − | 0.950911i | \(-0.600150\pi\) |
0.453570 | + | 0.891221i | \(0.350150\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.34121 | − | 5.65218i | 0.174021 | − | 0.420123i | −0.812672 | − | 0.582722i | \(-0.801988\pi\) |
0.986692 | + | 0.162599i | \(0.0519877\pi\) | |||||||
\(182\) | 0.508478 | + | 7.82156i | 0.0376909 | + | 0.579773i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.0478295 | − | 0.748009i | −0.00352604 | − | 0.0551440i | ||||
\(185\) | 8.02480 | − | 2.15024i | 0.589995 | − | 0.158089i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.875514 | − | 6.65019i | −0.0640239 | − | 0.486310i | ||||
\(188\) | −1.66761 | + | 12.5635i | −0.121623 | + | 0.916289i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.39129 | − | 0.488396i | −0.536221 | − | 0.0354320i | ||||
\(191\) | 6.21403 | + | 10.7630i | 0.449632 | + | 0.778785i | 0.998362 | − | 0.0572147i | \(-0.0182219\pi\) |
−0.548730 | + | 0.835999i | \(0.684889\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.09091 | + | 3.62157i | −0.150507 | + | 0.260686i | −0.931414 | − | 0.363961i | \(-0.881424\pi\) |
0.780907 | + | 0.624648i | \(0.214757\pi\) | |||||||
\(194\) | −1.23400 | + | 1.84468i | −0.0885958 | + | 0.132440i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −7.65030 | + | 3.15934i | −0.546450 | + | 0.225667i | ||||
\(197\) | −20.3832 | − | 8.44301i | −1.45224 | − | 0.601539i | −0.489512 | − | 0.871996i | \(-0.662825\pi\) |
−0.962732 | + | 0.270457i | \(0.912825\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −15.4429 | − | 15.4429i | −1.09472 | − | 1.09472i | −0.995017 | − | 0.0997020i | \(-0.968211\pi\) |
−0.0997020 | − | 0.995017i | \(-0.531789\pi\) | |||||||
\(200\) | −2.70618 | + | 5.46560i | −0.191355 | + | 0.386476i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −7.58986 | + | 5.06555i | −0.534021 | + | 0.356411i | ||||
\(203\) | −8.07648 | − | 10.5255i | −0.566858 | − | 0.738744i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 13.9658 | + | 10.7164i | 0.975415 | + | 0.748463i | ||||
\(206\) | 8.30960 | + | 9.48544i | 0.578957 | + | 0.660882i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 12.9971 | − | 1.68300i | 0.901186 | − | 0.116695i | ||||
\(209\) | −4.09086 | + | 2.36186i | −0.282971 | + | 0.163373i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.95250 | − | 14.8307i | 0.134416 | − | 1.02099i | −0.782709 | − | 0.622388i | \(-0.786163\pi\) |
0.917125 | − | 0.398601i | \(-0.130504\pi\) | |||||||
\(212\) | −2.36642 | − | 4.10883i | −0.162526 | − | 0.282196i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.89228 | + | 0.318046i | −0.334429 | + | 0.0217412i | ||||
\(215\) | −13.6556 | + | 13.6556i | −0.931306 | + | 0.931306i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.08721 | + | 4.08721i | 0.277458 | + | 0.277458i | ||||
\(218\) | −11.7512 | − | 10.3166i | −0.795890 | − | 0.698726i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.664091 | − | 5.08604i | −0.0447730 | − | 0.342901i | ||||
\(221\) | −14.3270 | − | 1.88618i | −0.963736 | − | 0.126878i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.52017 | + | 4.36506i | 0.168763 | + | 0.292306i | 0.937985 | − | 0.346675i | \(-0.112689\pi\) |
−0.769222 | + | 0.638982i | \(0.779356\pi\) | |||||||
\(224\) | −4.20950 | − | 8.59350i | −0.281259 | − | 0.574178i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.769267 | − | 11.6419i | 0.0511709 | − | 0.774411i | ||||
\(227\) | 7.81587 | − | 10.1858i | 0.518758 | − | 0.676058i | −0.458358 | − | 0.888768i | \(-0.651562\pi\) |
0.977115 | + | 0.212710i | \(0.0682288\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.10314 | + | 2.38112i | −0.205061 | + | 0.157349i | −0.706187 | − | 0.708026i | \(-0.749586\pi\) |
0.501126 | + | 0.865375i | \(0.332919\pi\) | |||||||
\(230\) | −0.123624 | + | 0.619776i | −0.00815150 | + | 0.0408668i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −16.7015 | + | 14.5997i | −1.09650 | + | 0.958520i | ||||
\(233\) | −13.8895 | + | 13.8895i | −0.909930 | + | 0.909930i | −0.996266 | − | 0.0863363i | \(-0.972484\pi\) |
0.0863363 | + | 0.996266i | \(0.472484\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.08938 | − | 9.87263i | 0.266762 | − | 0.644020i | ||||
\(236\) | −0.0214235 | + | 20.1558i | −0.00139455 | + | 1.31203i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.05293 | + | 10.3495i | 0.133072 | + | 0.670861i | ||||
\(239\) | −20.8616 | − | 12.0444i | −1.34942 | − | 0.779089i | −0.361255 | − | 0.932467i | \(-0.617651\pi\) |
−0.988168 | + | 0.153378i | \(0.950985\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −18.9896 | + | 10.9636i | −1.22323 | + | 0.706230i | −0.965604 | − | 0.260015i | \(-0.916272\pi\) |
−0.257622 | + | 0.966246i | \(0.582939\pi\) | |||||||
\(242\) | 8.09545 | + | 9.24099i | 0.520395 | + | 0.594033i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.50253 | + | 9.37943i | 0.160208 | + | 0.600457i | ||||
\(245\) | 6.91919 | − | 0.910928i | 0.442051 | − | 0.0581971i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.63391 | + | 9.82988i | 0.167592 | + | 0.625460i | ||||
\(248\) | 6.38398 | − | 7.25616i | 0.405383 | − | 0.460767i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.2596 | − | 12.8253i | 0.712118 | − | 0.811145i | ||||
\(251\) | 2.87787 | + | 1.19205i | 0.181649 | + | 0.0752416i | 0.471654 | − | 0.881783i | \(-0.343657\pi\) |
−0.290005 | + | 0.957025i | \(0.593657\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.154228 | + | 0.372340i | 0.00969625 | + | 0.0234088i | ||||
\(254\) | 10.2694 | + | 20.8523i | 0.644361 | + | 1.30839i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.8903 | + | 7.94102i | −0.868143 | + | 0.496314i | ||||
\(257\) | −9.68935 | + | 16.7825i | −0.604405 | + | 1.04686i | 0.387740 | + | 0.921769i | \(0.373256\pi\) |
−0.992145 | + | 0.125092i | \(0.960077\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.07330 | + | 6.61166i | −0.315240 | + | 0.410828i | ||||
\(260\) | −10.9541 | − | 1.45399i | −0.679347 | − | 0.0901724i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.40181 | + | 7.08789i | 0.148385 | + | 0.437891i | ||||
\(263\) | −5.21581 | + | 19.4657i | −0.321621 | + | 1.20031i | 0.596044 | + | 0.802951i | \(0.296738\pi\) |
−0.917665 | + | 0.397354i | \(0.869928\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.03474 | + | 3.86171i | 0.0635637 | + | 0.237223i | ||||
\(266\) | 6.18045 | − | 4.12490i | 0.378948 | − | 0.252914i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −14.4997 | + | 14.4690i | −0.885713 | + | 0.883832i | ||||
\(269\) | 7.02856 | − | 2.91132i | 0.428539 | − | 0.177507i | −0.157980 | − | 0.987442i | \(-0.550498\pi\) |
0.586519 | + | 0.809936i | \(0.300498\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 22.8081i | − | 1.38550i | −0.721180 | − | 0.692748i | \(-0.756400\pi\) | ||
0.721180 | − | 0.692748i | \(-0.243600\pi\) | |||||||
\(272\) | 17.0506 | − | 4.52986i | 1.03384 | − | 0.274663i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.29811 | − | 26.7096i | −0.320070 | − | 1.61358i | ||||
\(275\) | 0.428034 | − | 3.25124i | 0.0258114 | − | 0.196057i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.67963 | − | 0.352780i | 0.161003 | − | 0.0211965i | −0.0495936 | − | 0.998769i | \(-0.515793\pi\) |
0.210597 | + | 0.977573i | \(0.432459\pi\) | |||||||
\(278\) | 2.69806 | − | 5.46380i | 0.161819 | − | 0.327697i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.56144 | + | 7.91584i | 0.0933141 | + | 0.473062i | ||||
\(281\) | 2.38877 | − | 8.91501i | 0.142502 | − | 0.531825i | −0.857352 | − | 0.514731i | \(-0.827892\pi\) |
0.999854 | − | 0.0170942i | \(-0.00544152\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.71546 | − | 2.85097i | 0.220861 | − | 0.169473i | −0.492405 | − | 0.870366i | \(-0.663882\pi\) |
0.713266 | + | 0.700894i | \(0.247215\pi\) | |||||||
\(284\) | −21.6179 | + | 2.82268i | −1.28279 | + | 0.167495i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.32169 | + | 3.11334i | −0.373809 | + | 0.184095i | ||||
\(287\) | −17.6585 | −1.04235 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.45260 | −0.144271 | ||||||||
\(290\) | 16.7796 | − | 8.26370i | 0.985332 | − | 0.485261i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.03219 | + | 15.5638i | 0.118925 | + | 0.910803i | ||||
\(293\) | −4.44030 | + | 3.40716i | −0.259405 | + | 0.199048i | −0.730273 | − | 0.683155i | \(-0.760607\pi\) |
0.470868 | + | 0.882203i | \(0.343941\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.39856 | − | 16.4157i | 0.256094 | − | 0.955757i | ||||
\(296\) | 11.5738 | + | 7.76006i | 0.672711 | + | 0.451044i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −13.4693 | + | 27.2764i | −0.780254 | + | 1.58008i | ||||
\(299\) | 0.860822 | − | 0.113329i | 0.0497826 | − | 0.00655401i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.52858 | − | 19.2065i | 0.145745 | − | 1.10704i | ||||
\(302\) | 1.62471 | + | 8.19069i | 0.0934913 | + | 0.471321i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.54239 | − | 9.87282i | −0.432586 | − | 0.566245i | ||||
\(305\) | − | 8.18509i | − | 0.468677i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 24.4588 | − | 10.1311i | 1.39593 | − | 0.578215i | 0.447242 | − | 0.894413i | \(-0.352406\pi\) |
0.948693 | + | 0.316198i | \(0.102406\pi\) | |||||||
\(308\) | 3.63435 | + | 3.64208i | 0.207086 | + | 0.207527i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.77804 | + | 4.52373i | −0.384967 | + | 0.256931i | ||||
\(311\) | −2.86927 | − | 10.7082i | −0.162701 | − | 0.607209i | −0.998322 | − | 0.0579027i | \(-0.981559\pi\) |
0.835621 | − | 0.549306i | \(-0.185108\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.11934 | − | 19.1057i | 0.289362 | − | 1.07992i | −0.656230 | − | 0.754561i | \(-0.727850\pi\) |
0.945592 | − | 0.325354i | \(-0.105484\pi\) | |||||||
\(314\) | 10.7122 | + | 31.6123i | 0.604524 | + | 1.78398i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.32075 | − | 17.4842i | 0.130552 | − | 0.983564i | ||||
\(317\) | 17.3714 | − | 22.6389i | 0.975677 | − | 1.27153i | 0.0132711 | − | 0.999912i | \(-0.495776\pi\) |
0.962406 | − | 0.271615i | \(-0.0875578\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.96382 | − | 10.3296i | 0.333910 | − | 0.578349i | ||||
\(320\) | 13.0421 | − | 3.45008i | 0.729074 | − | 0.192865i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.280090 | − | 0.568728i | −0.0156088 | − | 0.0316940i | ||||
\(323\) | 5.24247 | + | 12.6564i | 0.291699 | + | 0.704223i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.52704 | − | 2.70359i | −0.362055 | − | 0.149968i | ||||
\(326\) | 21.9317 | − | 24.9815i | 1.21468 | − | 1.38360i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.88410 | + | 29.4656i | 0.104032 | + | 1.62696i | ||||
\(329\) | 2.77439 | + | 10.3542i | 0.152957 | + | 0.570843i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.4893 | − | 1.51260i | 0.631510 | − | 0.0831398i | 0.192025 | − | 0.981390i | \(-0.438494\pi\) |
0.439484 | + | 0.898250i | \(0.355161\pi\) | |||||||
\(332\) | 9.65938 | − | 2.57722i | 0.530127 | − | 0.141443i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.483573 | + | 0.552001i | 0.0264600 | + | 0.0302042i | ||||
\(335\) | 14.9575 | − | 8.63571i | 0.817215 | − | 0.471819i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 25.3042 | + | 14.6094i | 1.37841 | + | 0.795824i | 0.991968 | − | 0.126490i | \(-0.0403712\pi\) |
0.386440 | + | 0.922314i | \(0.373705\pi\) | |||||||
\(338\) | −0.623298 | − | 3.14226i | −0.0339029 | − | 0.170916i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −14.8752 | − | 0.0158108i | −0.806720 | − | 0.000857460i | ||||
\(341\) | −1.98866 | + | 4.80106i | −0.107692 | + | 0.259992i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.3232 | + | 13.3232i | −0.719386 | + | 0.719386i | ||||
\(344\) | −32.3185 | − | 2.17002i | −1.74250 | − | 0.117000i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.63847 | − | 23.2546i | 0.249366 | − | 1.25017i | ||||
\(347\) | 21.0213 | − | 16.1302i | 1.12848 | − | 0.865914i | 0.136294 | − | 0.990668i | \(-0.456481\pi\) |
0.992188 | + | 0.124754i | \(0.0398142\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.9050 | − | 24.6375i | 1.01196 | − | 1.31882i | 0.0648588 | − | 0.997894i | \(-0.479340\pi\) |
0.947105 | − | 0.320923i | \(-0.103993\pi\) | |||||||
\(350\) | −0.340112 | + | 5.14719i | −0.0181797 | + | 0.275129i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.68954 | − | 6.45301i | 0.303253 | − | 0.343946i | ||||
\(353\) | 1.57460 | + | 2.72729i | 0.0838077 | + | 0.145159i | 0.904883 | − | 0.425661i | \(-0.139959\pi\) |
−0.821075 | + | 0.570821i | \(0.806625\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 18.2250 | + | 2.39937i | 0.967283 | + | 0.127345i | ||||
\(356\) | 9.54029 | − | 1.24569i | 0.505634 | − | 0.0660213i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.21782 | − | 1.94707i | −0.117216 | − | 0.102906i | ||||
\(359\) | −21.3264 | − | 21.3264i | −1.12556 | − | 1.12556i | −0.990890 | − | 0.134673i | \(-0.957002\pi\) |
−0.134673 | − | 0.990890i | \(-0.542998\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.61321 | + | 6.61321i | −0.348064 | + | 0.348064i | ||||
\(362\) | −8.63375 | + | 0.561278i | −0.453780 | + | 0.0295001i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 9.60552 | − | 5.53215i | 0.503466 | − | 0.289963i | ||||
\(365\) | 1.72742 | − | 13.1211i | 0.0904173 | − | 0.686788i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.18199 | − | 1.83712i | 0.166098 | − | 0.0958970i | −0.414646 | − | 0.909983i | \(-0.636095\pi\) |
0.580745 | + | 0.814086i | \(0.302761\pi\) | |||||||
\(368\) | −0.919116 | + | 0.528050i | −0.0479122 | + | 0.0275265i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −7.74204 | − | 8.83757i | −0.402489 | − | 0.459444i | ||||
\(371\) | −3.18167 | − | 2.44138i | −0.165184 | − | 0.126750i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.19145 | − | 10.6753i | −0.424137 | − | 0.552746i | 0.531590 | − | 0.847002i | \(-0.321595\pi\) |
−0.955727 | + | 0.294256i | \(0.904928\pi\) | |||||||
\(374\) | −7.89007 | + | 5.26591i | −0.407986 | + | 0.272294i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 16.9813 | − | 5.73420i | 0.875744 | − | 0.295719i | ||||
\(377\) | −18.1702 | − | 18.1702i | −0.935813 | − | 0.935813i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.1913 | − | 8.77772i | −1.08852 | − | 0.450881i | −0.235032 | − | 0.971988i | \(-0.575520\pi\) |
−0.853492 | + | 0.521106i | \(0.825520\pi\) | |||||||
\(380\) | 3.99857 | + | 9.68251i | 0.205122 | + | 0.496702i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.77243 | − | 14.6087i | 0.500001 | − | 0.747444i | ||||
\(383\) | 0.0799120 | − | 0.138412i | 0.00408331 | − | 0.00707251i | −0.863977 | − | 0.503532i | \(-0.832034\pi\) |
0.868060 | + | 0.496460i | \(0.165367\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.16914 | − | 3.75706i | −0.110550 | − | 0.191478i | ||||
\(386\) | 5.90113 | + | 0.389930i | 0.300360 | + | 0.0198469i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.11137 | + | 0.412985i | 0.157956 | + | 0.0209661i | ||||
\(389\) | 0.0159740 | + | 0.121335i | 0.000809915 | + | 0.00615191i | 0.991845 | − | 0.127450i | \(-0.0406791\pi\) |
−0.991035 | + | 0.133602i | \(0.957346\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.12897 | − | 0.302505i | 0.0570942 | − | 0.0152984i | ||||
\(392\) | 8.78829 | + | 7.73195i | 0.443876 | + | 0.390522i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.02411 | + | 31.1356i | 0.101973 | + | 1.56859i | ||||
\(395\) | −5.69105 | + | 13.7394i | −0.286348 | + | 0.691304i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 32.2458 | − | 13.3567i | 1.61837 | − | 0.670352i | 0.624514 | − | 0.781013i | \(-0.285297\pi\) |
0.993858 | + | 0.110662i | \(0.0352970\pi\) | |||||||
\(398\) | −9.94347 | + | 29.2414i | −0.498421 | + | 1.46574i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.62507 | + | 0.0183351i | 0.431254 | + | 0.000916757i | ||||
\(401\) | 2.07252 | + | 1.19657i | 0.103497 | + | 0.0597538i | 0.550855 | − | 0.834601i | \(-0.314302\pi\) |
−0.447358 | + | 0.894355i | \(0.647635\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 8.88195 | + | 6.81536i | 0.442442 | + | 0.339497i | ||||
\(404\) | 11.1689 | + | 6.46423i | 0.555676 | + | 0.321608i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.30737 | + | 16.8231i | −0.412288 | + | 0.834919i | ||||
\(407\) | −7.23714 | − | 1.93919i | −0.358732 | − | 0.0961218i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.34325 | + | 1.43172i | −0.264206 | + | 0.0707939i | −0.388490 | − | 0.921453i | \(-0.627003\pi\) |
0.124284 | + | 0.992247i | \(0.460337\pi\) | |||||||
\(410\) | 4.86978 | − | 24.4142i | 0.240501 | − | 1.20573i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.84223 | − | 16.4691i | 0.337092 | − | 0.811372i | ||||
\(413\) | 6.52390 | + | 15.7501i | 0.321020 | + | 0.775012i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.42939 | −0.413782 | ||||||||
\(416\) | −10.2560 | − | 15.4379i | −0.502843 | − | 0.756904i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.55253 | + | 3.71435i | 0.271583 | + | 0.181675i | ||||
\(419\) | −3.69254 | − | 0.486132i | −0.180392 | − | 0.0237491i | 0.0397888 | − | 0.999208i | \(-0.487331\pi\) |
−0.220181 | + | 0.975459i | \(0.570665\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.12026 | − | 23.7007i | −0.152072 | − | 1.15510i | −0.881888 | − | 0.471458i | \(-0.843728\pi\) |
0.729816 | − | 0.683643i | \(-0.239606\pi\) | |||||||
\(422\) | −20.0357 | + | 6.78934i | −0.975324 | + | 0.330500i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.73431 | + | 5.56954i | −0.181354 | + | 0.270481i | ||||
\(425\) | −9.18621 | − | 2.46144i | −0.445597 | − | 0.119397i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.99832 | + | 6.51393i | 0.241886 | + | 0.315231i | ||||
\(428\) | 3.46028 | + | 6.00812i | 0.167259 | + | 0.290414i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 25.8572 | + | 8.79266i | 1.24694 | + | 0.424019i | ||||
\(431\) | − | 19.4688i | − | 0.937780i | −0.883257 | − | 0.468890i | \(-0.844654\pi\) | ||
0.883257 | − | 0.468890i | \(-0.155346\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 33.5242i | 1.61107i | 0.592549 | + | 0.805534i | \(0.298122\pi\) | ||||
−0.592549 | + | 0.805534i | \(0.701878\pi\) | |||||||
\(434\) | 2.63170 | − | 7.73921i | 0.126325 | − | 0.371494i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.74631 | + | 21.3547i | −0.275198 | + | 1.02270i | ||||
\(437\) | −0.501075 | − | 0.653014i | −0.0239697 | − | 0.0312379i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.387909 | + | 0.103940i | 0.0185139 | + | 0.00496079i | 0.268064 | − | 0.963401i | \(-0.413616\pi\) |
−0.249550 | + | 0.968362i | \(0.580283\pi\) | |||||||
\(440\) | −6.03773 | + | 4.02037i | −0.287837 | + | 0.191664i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.55873 | + | 19.3552i | 0.311967 | + | 0.920632i | ||||
\(443\) | −4.04455 | − | 30.7214i | −0.192163 | − | 1.45962i | −0.767156 | − | 0.641461i | \(-0.778329\pi\) |
0.574993 | − | 0.818158i | \(-0.305005\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.04294 | − | 1.05887i | −0.381272 | − | 0.0501954i | ||||
\(446\) | 3.96332 | − | 5.92471i | 0.187669 | − | 0.280543i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.27243 | + | 10.7100i | −0.390836 | + | 0.505998i | ||||
\(449\) | 29.1609 | 1.37619 | 0.688094 | − | 0.725622i | \(-0.258448\pi\) | ||||
0.688094 | + | 0.725622i | \(0.258448\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.07536 | − | 14.6672i | −0.286078 | − | 0.690652i | ||||
\(452\) | −15.2508 | + | 6.29811i | −0.717338 | + | 0.296238i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −17.8063 | − | 3.55173i | −0.835690 | − | 0.166691i | ||||
\(455\) | −9.02780 | + | 2.41899i | −0.423230 | + | 0.113404i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 27.3933 | + | 7.34002i | 1.28141 | + | 0.343352i | 0.834390 | − | 0.551174i | \(-0.185820\pi\) |
0.447016 | + | 0.894526i | \(0.352487\pi\) | |||||||
\(458\) | 4.95983 | + | 2.44919i | 0.231757 | + | 0.114443i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.863553 | − | 0.230405i | 0.0402634 | − | 0.0107427i | ||||
\(461\) | 9.20643 | + | 7.06434i | 0.428786 | + | 0.329019i | 0.800505 | − | 0.599326i | \(-0.204565\pi\) |
−0.371719 | + | 0.928345i | \(0.621231\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 29.3483 | + | 16.9443i | 1.36393 | + | 0.787467i | 0.990145 | − | 0.140048i | \(-0.0447256\pi\) |
0.373788 | + | 0.927514i | \(0.378059\pi\) | |||||||
\(464\) | 28.9581 | + | 12.0670i | 1.34435 | + | 0.560197i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 26.3000 | + | 8.94323i | 1.21832 | + | 0.414287i | ||||
\(467\) | 30.8911 | − | 12.7955i | 1.42947 | − | 0.592105i | 0.472249 | − | 0.881465i | \(-0.343442\pi\) |
0.957220 | + | 0.289360i | \(0.0934425\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.63012 | + | 16.0065i | −0.306150 | + | 0.739112i | ||||
\(470\) | −15.0805 | + | 0.980382i | −0.695613 | + | 0.0452217i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 25.5851 | − | 12.5665i | 1.17765 | − | 0.578420i | ||||
\(473\) | 16.8230 | − | 4.50770i | 0.773521 | − | 0.207264i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.874197 | + | 6.64018i | 0.0401109 | + | 0.304672i | ||||
\(476\) | 11.8478 | − | 9.07112i | 0.543042 | − | 0.415774i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.24614 | + | 33.9927i | −0.102736 | + | 1.55479i | ||||
\(479\) | 20.0665 | + | 34.7563i | 0.916864 | + | 1.58805i | 0.804149 | + | 0.594427i | \(0.202621\pi\) |
0.112715 | + | 0.993627i | \(0.464045\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.07074 | + | 13.9789i | −0.367994 | + | 0.637385i | ||||
\(482\) | 25.7746 | + | 17.2419i | 1.17400 | + | 0.785345i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.66589 | − | 16.0446i | 0.302995 | − | 0.729301i | ||||
\(485\) | −2.44497 | − | 1.01274i | −0.111020 | − | 0.0459862i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.0013 | + | 19.0013i | 0.861032 | + | 0.861032i | 0.991458 | − | 0.130426i | \(-0.0416345\pi\) |
−0.130426 | + | 0.991458i | \(0.541634\pi\) | |||||||
\(488\) | 10.3361 | − | 9.03539i | 0.467892 | − | 0.409013i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.47892 | − | 8.20922i | −0.247512 | − | 0.370855i | ||||
\(491\) | 11.9422 | + | 15.5634i | 0.538943 | + | 0.702365i | 0.980865 | − | 0.194689i | \(-0.0623697\pi\) |
−0.441922 | + | 0.897054i | \(0.645703\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −27.4431 | − | 21.0578i | −1.23598 | − | 0.948398i | ||||
\(494\) | 10.8255 | − | 9.48352i | 0.487061 | − | 0.426684i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −13.1947 | − | 3.56560i | −0.592460 | − | 0.160100i | ||||
\(497\) | −15.9692 | + | 9.21982i | −0.716316 | + | 0.413565i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.99180 | − | 22.7250i | 0.133931 | − | 1.01731i | −0.784053 | − | 0.620693i | \(-0.786851\pi\) |
0.917985 | − | 0.396616i | \(-0.129816\pi\) | |||||||
\(500\) | −23.3067 | − | 6.27157i | −1.04231 | − | 0.280473i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.285781 | − | 4.39597i | −0.0127550 | − | 0.196202i | ||||
\(503\) | −9.49321 | + | 9.49321i | −0.423281 | + | 0.423281i | −0.886332 | − | 0.463051i | \(-0.846755\pi\) |
0.463051 | + | 0.886332i | \(0.346755\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.69391 | − | 7.69391i | −0.342375 | − | 0.342375i | ||||
\(506\) | 0.376024 | − | 0.428314i | 0.0167163 | − | 0.0190409i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 20.0388 | − | 26.0577i | 0.889078 | − | 1.15612i | ||||
\(509\) | −27.8696 | − | 3.66911i | −1.23530 | − | 0.162630i | −0.515547 | − | 0.856861i | \(-0.672411\pi\) |
−0.719752 | + | 0.694231i | \(0.755745\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.63779 | + | 11.4970i | 0.293639 | + | 0.508597i | ||||
\(512\) | 18.7537 | + | 12.6610i | 0.828803 | + | 0.559541i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 27.3460 | + | 1.80695i | 1.20618 | + | 0.0797010i | ||||
\(515\) | −9.15390 | + | 11.9296i | −0.403369 | + | 0.525681i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.64569 | + | 5.86675i | −0.336257 | + | 0.258019i | ||||
\(518\) | 11.5581 | + | 2.30544i | 0.507834 | + | 0.101295i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.99965 | + | 14.8060i | 0.219249 | + | 0.649287i | ||||
\(521\) | 15.5551 | − | 15.5551i | 0.681481 | − | 0.681481i | −0.278853 | − | 0.960334i | \(-0.589954\pi\) |
0.960334 | + | 0.278853i | \(0.0899541\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.62972 | + | 11.1771i | −0.202443 | + | 0.488742i | −0.992197 | − | 0.124683i | \(-0.960209\pi\) |
0.789753 | + | 0.613425i | \(0.210209\pi\) | |||||||
\(524\) | 7.49172 | − | 7.47581i | 0.327277 | − | 0.326582i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 27.9551 | − | 5.54517i | 1.21890 | − | 0.241781i | ||||
\(527\) | 13.0516 | + | 7.53536i | 0.568537 | + | 0.328245i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.8578 | − | 11.4649i | 0.863381 | − | 0.498473i | ||||
\(530\) | 4.25283 | − | 3.72564i | 0.184731 | − | 0.161831i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.09491 | − | 5.26385i | −0.394315 | − | 0.228217i | ||||
\(533\) | −33.9095 | + | 4.46427i | −1.46878 | + | 0.193369i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.51305 | − | 5.64676i | −0.0654147 | − | 0.244131i | ||||
\(536\) | 27.4165 | + | 9.35541i | 1.18421 | + | 0.404092i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.08516 | − | 7.09810i | −0.348576 | − | 0.306021i | ||||
\(539\) | −5.81479 | − | 2.40857i | −0.250461 | − | 0.103744i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.69081 | + | 4.08197i | 0.0726936 | + | 0.175498i | 0.956050 | − | 0.293205i | \(-0.0947217\pi\) |
−0.883356 | + | 0.468702i | \(0.844722\pi\) | |||||||
\(542\) | −28.9367 | + | 14.2509i | −1.24294 | + | 0.612129i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −16.4005 | − | 18.8018i | −0.703167 | − | 0.806119i | ||||
\(545\) | 9.32304 | − | 16.1480i | 0.399355 | − | 0.691704i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.7296 | + | 24.4089i | −0.800819 | + | 1.04365i | 0.197177 | + | 0.980368i | \(0.436823\pi\) |
−0.997996 | + | 0.0632800i | \(0.979844\pi\) | |||||||
\(548\) | −30.5761 | + | 23.4103i | −1.30615 | + | 1.00004i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −4.39230 | + | 1.48838i | −0.187288 | + | 0.0634648i | ||||
\(551\) | −6.30495 | + | 23.5304i | −0.268600 | + | 1.00243i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.86102 | − | 14.4095i | −0.164187 | − | 0.612755i | ||||
\(554\) | −2.12185 | − | 3.17923i | −0.0901487 | − | 0.135072i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.61773 | − | 0.00915975i | −0.365473 | − | 0.000388460i | ||||
\(557\) | 5.80716 | − | 2.40541i | 0.246057 | − | 0.101920i | −0.256247 | − | 0.966611i | \(-0.582486\pi\) |
0.502304 | + | 0.864691i | \(0.332486\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 37.5214i | − | 1.58699i | ||||||
\(560\) | 9.06723 | − | 6.92696i | 0.383160 | − | 0.292717i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.8030 | + | 2.53961i | −0.540064 | + | 0.107127i | ||||
\(563\) | −3.40626 | + | 25.8731i | −0.143557 | + | 1.09042i | 0.756297 | + | 0.654229i | \(0.227007\pi\) |
−0.899853 | + | 0.436193i | \(0.856327\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.7933 | − | 1.81593i | 0.580290 | − | 0.0763966i | ||||
\(566\) | −5.93852 | − | 2.93248i | −0.249615 | − | 0.123261i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 17.0884 | + | 25.6631i | 0.717013 | + | 1.07680i | ||||
\(569\) | 0.769260 | − | 2.87092i | 0.0322491 | − | 0.120355i | −0.947925 | − | 0.318494i | \(-0.896823\pi\) |
0.980174 | + | 0.198139i | \(0.0634897\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.0397 | + | 11.5404i | −0.629393 | + | 0.482950i | −0.873517 | − | 0.486794i | \(-0.838166\pi\) |
0.244124 | + | 0.969744i | \(0.421500\pi\) | |||||||
\(572\) | 7.89979 | + | 6.07507i | 0.330307 | + | 0.254012i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 11.0333 | + | 22.4033i | 0.460521 | + | 0.935097i | ||||
\(575\) | 0.571415 | 0.0238297 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.3704 | −0.431725 | −0.215862 | − | 0.976424i | \(-0.569256\pi\) | ||||
−0.215862 | + | 0.976424i | \(0.569256\pi\) | |||||||
\(578\) | 1.53243 | + | 3.11162i | 0.0637405 | + | 0.129426i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −20.9683 | − | 16.1250i | −0.870663 | − | 0.669554i | ||||
\(581\) | 6.70836 | − | 5.14750i | 0.278309 | − | 0.213554i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.933178 | − | 3.48267i | 0.0386483 | − | 0.144237i | ||||
\(584\) | 18.4761 | − | 12.3028i | 0.764546 | − | 0.509092i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.09704 | + | 3.50456i | 0.293176 | + | 0.144772i | ||||
\(587\) | 23.7322 | − | 3.12440i | 0.979532 | − | 0.128958i | 0.376278 | − | 0.926507i | \(-0.377204\pi\) |
0.603254 | + | 0.797549i | \(0.293871\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.38532 | − | 10.5226i | 0.0570811 | − | 0.433574i | ||||
\(590\) | −23.5749 | + | 4.67631i | −0.970562 | + | 0.192521i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.61372 | − | 19.5323i | 0.107423 | − | 0.802771i | ||||
\(593\) | 8.10188i | 0.332704i | 0.986066 | + | 0.166352i | \(0.0531988\pi\) | ||||
−0.986066 | + | 0.166352i | \(0.946801\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11.6237 | + | 4.81470i | −0.476526 | + | 0.197384i | ||||
\(596\) | 43.0215 | + | 0.0457274i | 1.76223 | + | 0.00187307i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.681637 | − | 1.02132i | −0.0278742 | − | 0.0417648i | ||||
\(599\) | 3.11924 | + | 11.6412i | 0.127449 | + | 0.475645i | 0.999915 | − | 0.0130288i | \(-0.00414733\pi\) |
−0.872466 | + | 0.488674i | \(0.837481\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.51080 | − | 20.5666i | 0.224790 | − | 0.838929i | −0.757698 | − | 0.652605i | \(-0.773676\pi\) |
0.982488 | − | 0.186324i | \(-0.0596573\pi\) | |||||||
\(602\) | −25.9472 | + | 8.79252i | −1.05753 | + | 0.358356i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 9.37640 | − | 7.17895i | 0.381520 | − | 0.292107i | ||||
\(605\) | −8.91799 | + | 11.6221i | −0.362568 | + | 0.472508i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.27315 | − | 9.13337i | 0.214031 | − | 0.370712i | −0.738942 | − | 0.673770i | \(-0.764674\pi\) |
0.952972 | + | 0.303057i | \(0.0980074\pi\) | |||||||
\(608\) | −7.81305 | + | 15.7377i | −0.316861 | + | 0.638250i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −10.3844 | + | 5.11418i | −0.420454 | + | 0.207067i | ||||
\(611\) | 7.94530 | + | 19.1817i | 0.321432 | + | 0.776007i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −34.2121 | − | 14.1711i | −1.38181 | − | 0.572366i | −0.436848 | − | 0.899535i | \(-0.643905\pi\) |
−0.944966 | + | 0.327169i | \(0.893905\pi\) | |||||||
\(614\) | −28.1356 | − | 24.7008i | −1.13546 | − | 0.996842i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.34992 | − | 6.88654i | 0.0946808 | − | 0.277467i | ||||
\(617\) | −3.39826 | − | 12.6825i | −0.136809 | − | 0.510577i | −0.999984 | − | 0.00567237i | \(-0.998194\pi\) |
0.863175 | − | 0.504904i | \(-0.168472\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −9.56153 | + | 1.25880i | −0.384310 | + | 0.0505954i | −0.320206 | − | 0.947348i | \(-0.603752\pi\) |
−0.0641040 | + | 0.997943i | \(0.520419\pi\) | |||||||
\(620\) | 9.97430 | + | 5.77281i | 0.400578 | + | 0.231842i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.7928 | + | 10.3309i | −0.472849 | + | 0.414233i | ||||
\(623\) | 7.04742 | − | 4.06883i | 0.282349 | − | 0.163014i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.28710 | + | 4.78456i | 0.331484 | + | 0.191382i | ||||
\(626\) | −27.4380 | + | 5.44261i | −1.09664 | + | 0.217530i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 33.4134 | − | 33.3425i | 1.33334 | − | 1.33051i | ||||
\(629\) | −8.31524 | + | 20.0748i | −0.331551 | + | 0.800434i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −24.0104 | + | 24.0104i | −0.955838 | + | 0.955838i | −0.999065 | − | 0.0432274i | \(-0.986236\pi\) |
0.0432274 | + | 0.999065i | \(0.486236\pi\) | |||||||
\(632\) | −23.6323 | + | 7.98009i | −0.940042 | + | 0.317431i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −39.5760 | − | 7.89402i | −1.57176 | − | 0.313511i | ||||
\(635\) | −21.9889 | + | 16.8727i | −0.872604 | + | 0.669573i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.25442 | + | 10.7574i | −0.327052 | + | 0.426222i | ||||
\(638\) | −16.8315 | − | 1.11218i | −0.666366 | − | 0.0440316i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −12.5260 | − | 14.3908i | −0.495134 | − | 0.568847i | ||||
\(641\) | −2.50026 | − | 4.33058i | −0.0987544 | − | 0.171048i | 0.812415 | − | 0.583080i | \(-0.198152\pi\) |
−0.911169 | + | 0.412032i | \(0.864819\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.64282 | − | 1.00620i | −0.301404 | − | 0.0396805i | −0.0216923 | − | 0.999765i | \(-0.506905\pi\) |
−0.279711 | + | 0.960084i | \(0.590239\pi\) | |||||||
\(644\) | −0.546542 | + | 0.710702i | −0.0215368 | + | 0.0280056i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 12.7817 | − | 14.5591i | 0.502888 | − | 0.572820i | ||||
\(647\) | −6.14577 | − | 6.14577i | −0.241615 | − | 0.241615i | 0.575903 | − | 0.817518i | \(-0.304651\pi\) |
−0.817518 | + | 0.575903i | \(0.804651\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.8376 | + | 10.8376i | −0.425412 | + | 0.425412i | ||||
\(650\) | 0.648154 | + | 9.97011i | 0.0254227 | + | 0.391060i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −45.3974 | − | 12.2159i | −1.77790 | − | 0.478413i | ||||
\(653\) | 0.204395 | − | 1.55253i | 0.00799858 | − | 0.0607552i | −0.986980 | − | 0.160843i | \(-0.948579\pi\) |
0.994979 | + | 0.100087i | \(0.0319122\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.72823 | + | 4.46190i | −0.301967 | + | 0.174341i | ||||
\(656\) | 36.2058 | − | 20.8009i | 1.41360 | − | 0.812140i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 11.4029 | − | 9.98932i | 0.444530 | − | 0.389424i | ||||
\(659\) | 3.36974 | + | 2.58569i | 0.131266 | + | 0.100724i | 0.672308 | − | 0.740272i | \(-0.265303\pi\) |
−0.541042 | + | 0.840996i | \(0.681970\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.2293 | − | 19.8472i | −0.592352 | − | 0.771968i | 0.396952 | − | 0.917839i | \(-0.370068\pi\) |
−0.989304 | + | 0.145872i | \(0.953401\pi\) | |||||||
\(662\) | −9.09774 | − | 13.6314i | −0.353594 | − | 0.529800i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −9.30507 | − | 10.6446i | −0.361107 | − | 0.413090i | ||||
\(665\) | 6.26518 | + | 6.26518i | 0.242953 | + | 0.242953i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.92018 | + | 0.795364i | 0.0743496 | + | 0.0307966i | ||||
\(668\) | 0.398180 | − | 0.958410i | 0.0154061 | − | 0.0370820i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −20.3018 | − | 13.5809i | −0.784328 | − | 0.524675i | ||||
\(671\) | −3.69085 | + | 6.39273i | −0.142484 | + | 0.246789i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.02334 | − | 5.23658i | −0.116541 | − | 0.201856i | 0.801854 | − | 0.597521i | \(-0.203847\pi\) |
−0.918395 | + | 0.395665i | \(0.870514\pi\) | |||||||
\(674\) | 2.72447 | − | 41.2317i | 0.104943 | − | 1.58819i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.59714 | + | 2.75411i | −0.138352 | + | 0.105927i | ||||
\(677\) | −5.56436 | − | 42.2655i | −0.213856 | − | 1.62439i | −0.675521 | − | 0.737341i | \(-0.736081\pi\) |
0.461665 | − | 0.887054i | \(-0.347252\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.56422 | − | 0.687081i | 0.0984058 | − | 0.0263678i | ||||
\(680\) | 9.27420 | + | 18.8821i | 0.355650 | + | 0.724094i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 7.33366 | − | 0.476759i | 0.280820 | − | 0.0182561i | ||||
\(683\) | 14.7415 | − | 35.5892i | 0.564069 | − | 1.36178i | −0.342418 | − | 0.939548i | \(-0.611246\pi\) |
0.906486 | − | 0.422235i | \(-0.138754\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 29.9979 | − | 12.4256i | 1.14616 | − | 0.474756i | ||||
\(686\) | 25.2277 | + | 8.57862i | 0.963199 | + | 0.327533i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 17.4400 | + | 42.3584i | 0.664894 | + | 1.61490i | ||||
\(689\) | −6.72697 | − | 3.88382i | −0.256277 | − | 0.147962i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 36.0252 | + | 27.6431i | 1.37046 | + | 1.05159i | 0.992035 | + | 0.125961i | \(0.0402013\pi\) |
0.378426 | + | 0.925631i | \(0.376465\pi\) | |||||||
\(692\) | −32.4013 | + | 8.64501i | −1.23171 | + | 0.328634i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −33.5989 | − | 16.5913i | −1.27540 | − | 0.629798i | ||||
\(695\) | 7.01860 | + | 1.88063i | 0.266231 | + | 0.0713363i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −44.4722 | + | 11.9163i | −1.68450 | + | 0.451362i | ||||
\(698\) | −43.0699 | − | 8.59093i | −1.63022 | − | 0.325171i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6.74275 | − | 2.78455i | 0.254852 | − | 0.105246i | ||||
\(701\) | −2.76225 | − | 6.66866i | −0.104329 | − | 0.251872i | 0.863092 | − | 0.505047i | \(-0.168525\pi\) |
−0.967420 | + | 0.253176i | \(0.918525\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 15.3022 | 0.577134 | ||||||||
\(704\) | −11.7419 | − | 3.18639i | −0.442538 | − | 0.120091i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.47628 | − | 3.70176i | 0.0931961 | − | 0.139318i | ||||
\(707\) | 10.8214 | + | 1.42467i | 0.406981 | + | 0.0535801i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.77625 | + | 28.6835i | 0.141820 | + | 1.07723i | 0.903290 | + | 0.429030i | \(0.141145\pi\) |
−0.761470 | + | 0.648200i | \(0.775522\pi\) | |||||||
\(710\) | −8.34320 | − | 24.6213i | −0.313115 | − | 0.924019i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −7.54133 | − | 11.3255i | −0.282623 | − | 0.424439i | ||||
\(713\) | −0.874655 | − | 0.234363i | −0.0327561 | − | 0.00877697i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.11522 | − | 6.66629i | −0.191298 | − | 0.249305i | ||||
\(716\) | −1.08451 | + | 4.03032i | −0.0405302 | + | 0.150620i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −13.7317 | + | 40.3819i | −0.512464 | + | 1.50704i | ||||
\(719\) | 8.15498i | 0.304129i | 0.988371 | + | 0.152065i | \(0.0485922\pi\) | ||||
−0.988371 | + | 0.152065i | \(0.951408\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 15.0839i | − | 0.561752i | ||||||
\(722\) | 12.5222 | + | 4.25815i | 0.466029 | + | 0.158472i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 6.10661 | + | 10.6030i | 0.226950 | + | 0.394056i | ||||
\(725\) | −10.2951 | − | 13.4168i | −0.382349 | − | 0.498287i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.0216 | + | 4.29297i | 0.594207 | + | 0.159217i | 0.543375 | − | 0.839490i | \(-0.317146\pi\) |
0.0508318 | + | 0.998707i | \(0.483813\pi\) | |||||||
\(728\) | −13.0203 | − | 8.72997i | −0.482566 | − | 0.323554i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −17.7260 | + | 6.00668i | −0.656070 | + | 0.222317i | ||||
\(731\) | −6.59279 | − | 50.0772i | −0.243843 | − | 1.85217i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 29.2323 | + | 3.84851i | 1.07972 | + | 0.142148i | 0.649339 | − | 0.760499i | \(-0.275046\pi\) |
0.430382 | + | 0.902647i | \(0.358379\pi\) | |||||||
\(734\) | −4.31892 | − | 2.88913i | −0.159414 | − | 0.106640i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.24422 | + | 0.836150i | 0.0458624 | + | 0.0308209i | ||||
\(737\) | −15.5762 | −0.573756 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 11.5254 | + | 27.8248i | 0.423969 | + | 1.02355i | 0.981165 | + | 0.193171i | \(0.0618771\pi\) |
−0.557196 | + | 0.830381i | \(0.688123\pi\) | |||||||
\(740\) | −6.37489 | + | 15.3442i | −0.234346 | + | 0.564064i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.10943 | + | 5.56201i | −0.0407283 | + | 0.204188i | ||||
\(743\) | 0.691052 | − | 0.185167i | 0.0253522 | − | 0.00679311i | −0.246121 | − | 0.969239i | \(-0.579156\pi\) |
0.271473 | + | 0.962446i | \(0.412489\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −35.0383 | − | 9.38849i | −1.28371 | − | 0.343968i | ||||
\(746\) | −8.42562 | + | 17.0626i | −0.308484 | + | 0.624707i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 11.6107 | + | 6.71992i | 0.424530 | + | 0.245704i | ||||
\(749\) | 4.65239 | + | 3.56990i | 0.169995 | + | 0.130441i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −40.1090 | − | 23.1569i | −1.46360 | − | 0.845008i | −0.464422 | − | 0.885614i | \(-0.653738\pi\) |
−0.999175 | + | 0.0406055i | \(0.987071\pi\) | |||||||
\(752\) | −17.8852 | − | 17.9614i | −0.652206 | − | 0.654985i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.6995 | + | 34.4056i | −0.426072 | + | 1.25298i | ||||
\(755\) | −9.19909 | + | 3.81039i | −0.334789 | + | 0.138674i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −8.60103 | + | 20.7647i | −0.312610 | + | 0.754707i | 0.686997 | + | 0.726660i | \(0.258929\pi\) |
−0.999607 | + | 0.0280464i | \(0.991071\pi\) | |||||||
\(758\) | 2.10436 | + | 32.3699i | 0.0764338 | + | 1.17573i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.78584 | − | 11.1228i | 0.354970 | − | 0.403466i | ||||
\(761\) | 16.3399 | − | 4.37826i | 0.592321 | − | 0.158712i | 0.0498071 | − | 0.998759i | \(-0.484139\pi\) |
0.542514 | + | 0.840047i | \(0.317473\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.44140 | + | 18.5443i | 0.0883845 | + | 0.671347i | ||||
\(764\) | −24.6400 | − | 3.27057i | −0.891445 | − | 0.118325i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.225533 | − | 0.0149026i | −0.00814886 | − | 0.000538454i | ||||
\(767\) | 16.5096 | + | 28.5955i | 0.596129 | + | 1.03253i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.24598 | − | 14.2825i | 0.297358 | − | 0.515038i | −0.678173 | − | 0.734902i | \(-0.737228\pi\) |
0.975531 | + | 0.219864i | \(0.0705613\pi\) | |||||||
\(770\) | −3.41128 | + | 5.09947i | −0.122934 | + | 0.183772i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.19242 | − | 7.73041i | −0.114898 | − | 0.278223i | ||||
\(773\) | 29.2079 | + | 12.0983i | 1.05053 | + | 0.435145i | 0.840082 | − | 0.542459i | \(-0.182507\pi\) |
0.210452 | + | 0.977604i | \(0.432507\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.20995 | + | 5.20995i | 0.187147 | + | 0.187147i | ||||
\(776\) | −1.42008 | − | 4.20544i | −0.0509780 | − | 0.150967i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.143957 | − | 0.0960782i | 0.00516110 | − | 0.00344457i | ||||
\(779\) | 19.7383 | + | 25.7235i | 0.707200 | + | 0.921640i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −13.1522 | − | 10.0920i | −0.470623 | − | 0.361121i | ||||
\(782\) | −1.08919 | − | 1.24331i | −0.0389492 | − | 0.0444607i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.31847 | − | 15.9808i | 0.154231 | − | 0.570742i | ||||
\(785\) | −34.4683 | + | 19.9003i | −1.23022 | + | 0.710271i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.72837 | − | 13.1283i | 0.0616099 | − | 0.467974i | −0.932633 | − | 0.360826i | \(-0.882495\pi\) |
0.994243 | − | 0.107148i | \(-0.0341718\pi\) | |||||||
\(788\) | 38.2370 | − | 22.0220i | 1.36214 | − | 0.784502i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 20.9871 | − | 1.36436i | 0.746686 | − | 0.0485419i | ||||
\(791\) | −9.86822 | + | 9.86822i | −0.350873 | + | 0.350873i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 11.2450 | + | 11.2450i | 0.399323 | + | 0.399323i | ||||
\(794\) | −37.0934 | − | 32.5649i | −1.31639 | − | 1.15568i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 43.3115 | − | 5.65524i | 1.53514 | − | 0.200445i | ||||
\(797\) | 5.17355 | + | 0.681111i | 0.183257 | + | 0.0241262i | 0.221596 | − | 0.975139i | \(-0.428873\pi\) |
−0.0383392 | + | 0.999265i | \(0.512207\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 13.9744 | + | 24.2043i | 0.494378 | + | 0.856288i | ||||
\(800\) | −5.36583 | − | 10.9541i | −0.189711 | − | 0.387286i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.223146 | − | 3.37704i | 0.00787955 | − | 0.119248i | ||||
\(803\) | −7.26575 | + | 9.46890i | −0.256403 | + | 0.334150i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.599730 | − | 0.460189i | 0.0211377 | − | 0.0162195i | ||||
\(806\) | 3.09707 | − | 15.5269i | 0.109090 | − | 0.546912i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.22264 | − | 18.2090i | 0.0430124 | − | 0.640591i | ||||
\(809\) | 24.1097 | − | 24.1097i | 0.847652 | − | 0.847652i | −0.142188 | − | 0.989840i | \(-0.545414\pi\) |
0.989840 | + | 0.142188i | \(0.0454137\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 11.0614 | − | 26.7045i | 0.388417 | − | 0.937722i | −0.601859 | − | 0.798603i | \(-0.705573\pi\) |
0.990276 | − | 0.139119i | \(-0.0444270\pi\) | |||||||
\(812\) | 26.5341 | + | 0.0282030i | 0.931166 | + | 0.000989732i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.06164 | + | 10.3934i | 0.0722603 | + | 0.364289i | ||||
\(815\) | 34.3286 | + | 19.8196i | 1.20248 | + | 0.694250i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −30.8050 | + | 17.7853i | −1.07773 | + | 0.622227i | ||||
\(818\) | 5.15497 | + | 5.88442i | 0.180239 | + | 0.205744i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −34.0171 | + | 9.07611i | −1.18793 | + | 0.316951i | ||||
\(821\) | −30.0421 | + | 3.95511i | −1.04848 | + | 0.138034i | −0.635025 | − | 0.772492i | \(-0.719010\pi\) |
−0.413451 | + | 0.910526i | \(0.635677\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.16191 | + | 26.7286i | 0.249649 | + | 0.931701i | 0.970990 | + | 0.239121i | \(0.0768594\pi\) |
−0.721341 | + | 0.692580i | \(0.756474\pi\) | |||||||
\(824\) | −25.1695 | + | 1.60940i | −0.876820 | + | 0.0560660i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 15.9059 | − | 18.1178i | 0.553438 | − | 0.630399i | ||||
\(827\) | −12.9280 | − | 5.35495i | −0.449551 | − | 0.186210i | 0.146409 | − | 0.989224i | \(-0.453228\pi\) |
−0.595960 | + | 0.803014i | \(0.703228\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.7277 | + | 30.7274i | 0.442051 | + | 1.06721i | 0.975228 | + | 0.221202i | \(0.0709979\pi\) |
−0.533177 | + | 0.846004i | \(0.679002\pi\) | |||||||
\(830\) | 5.26682 | + | 10.6944i | 0.182814 | + | 0.371207i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −13.1779 | + | 22.6577i | −0.456862 | + | 0.785513i | ||||
\(833\) | −9.12644 | + | 15.8075i | −0.316212 | + | 0.547696i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.532707 | + | 0.694238i | −0.0184351 | + | 0.0240251i | ||||
\(836\) | 1.24309 | − | 9.36530i | 0.0429933 | − | 0.323906i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1.69040 | + | 4.98847i | 0.0583940 | + | 0.172324i | ||||
\(839\) | 2.75566 | − | 10.2843i | 0.0951359 | − | 0.355052i | −0.901904 | − | 0.431936i | \(-0.857831\pi\) |
0.997040 | + | 0.0768842i | \(0.0244972\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.41458 | − | 31.4036i | −0.290158 | − | 1.08288i | ||||
\(842\) | −28.1195 | + | 18.7673i | −0.969063 | + | 0.646763i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 21.1323 | + | 21.1773i | 0.727404 | + | 0.728951i | ||||
\(845\) | 3.52912 | − | 1.46181i | 0.121405 | − | 0.0502877i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 14.6951i | − | 0.504930i | ||||||
\(848\) | 9.39935 | + | 1.25778i | 0.322775 | + | 0.0431924i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.61687 | + | 13.1925i | 0.0897578 | + | 0.452499i | ||||
\(851\) | 0.170409 | − | 1.29438i | 0.00584154 | − | 0.0443709i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −15.7760 | + | 2.07695i | −0.540159 | + | 0.0711133i | −0.395669 | − | 0.918393i | \(-0.629487\pi\) |
−0.144490 | + | 0.989506i | \(0.546154\pi\) | |||||||
\(854\) | 5.14121 | − | 10.4114i | 0.175929 | − | 0.356270i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.46048 | − | 8.14404i | 0.186635 | − | 0.278358i | ||||
\(857\) | 3.78432 | − | 14.1233i | 0.129270 | − | 0.482442i | −0.870686 | − | 0.491840i | \(-0.836325\pi\) |
0.999956 | + | 0.00939732i | \(0.00299130\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.3196 | + | 11.7552i | −0.522699 | + | 0.401081i | −0.836131 | − | 0.548530i | \(-0.815188\pi\) |
0.313432 | + | 0.949611i | \(0.398521\pi\) | |||||||
\(860\) | −5.00073 | − | 38.2988i | −0.170523 | − | 1.30598i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −24.7001 | + | 12.1644i | −0.841289 | + | 0.414322i | ||||
\(863\) | 18.9698 | 0.645741 | 0.322870 | − | 0.946443i | \(-0.395352\pi\) | ||||
0.322870 | + | 0.946443i | \(0.395352\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 28.2754 | 0.961394 | ||||||||
\(866\) | 42.5322 | − | 20.9464i | 1.44530 | − | 0.711789i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −11.4631 | + | 1.49675i | −0.389082 | + | 0.0508030i | ||||
\(869\) | 10.6402 | − | 8.16455i | 0.360946 | − | 0.276963i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −8.68515 | + | 32.4134i | −0.294285 | + | 1.09829i | ||||
\(872\) | 30.6831 | − | 6.05242i | 1.03906 | − | 0.204961i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.515400 | + | 1.04373i | −0.0174337 | + | 0.0353046i | ||||
\(875\) | −20.2394 | + | 2.66456i | −0.684215 | + | 0.0900786i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.24722 | + | 24.6651i | −0.109651 | + | 0.832880i | 0.844919 | + | 0.534894i | \(0.179648\pi\) |
−0.954570 | + | 0.297986i | \(0.903685\pi\) | |||||||
\(878\) | −0.110503 | − | 0.557085i | −0.00372931 | − | 0.0188007i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 8.87313 | + | 5.14808i | 0.299113 | + | 0.173542i | ||||
\(881\) | 6.47311i | 0.218085i | 0.994037 | + | 0.109042i | \(0.0347784\pi\) | ||||
−0.994037 | + | 0.109042i | \(0.965222\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −40.6004 | + | 16.8172i | −1.36631 | + | 0.565944i | −0.940786 | − | 0.339002i | \(-0.889911\pi\) |
−0.425525 | + | 0.904947i | \(0.639911\pi\) | |||||||
\(884\) | 20.4579 | − | 20.4145i | 0.688075 | − | 0.686614i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −36.4492 | + | 24.3266i | −1.22454 | + | 0.817268i | ||||
\(887\) | −8.16806 | − | 30.4836i | −0.274257 | − | 1.02354i | −0.956338 | − | 0.292263i | \(-0.905592\pi\) |
0.682081 | − | 0.731276i | \(-0.261075\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.19593 | − | 26.8556i | 0.241344 | − | 0.900707i | ||||
\(890\) | 3.68197 | + | 10.8657i | 0.123420 | + | 0.364219i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −9.99304 | − | 1.32642i | −0.334592 | − | 0.0444117i | ||||
\(893\) | 11.9820 | − | 15.6152i | 0.400962 | − | 0.522543i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.75956 | − | 3.04764i | 0.0588155 | − | 0.101871i | ||||
\(896\) | 18.7565 | + | 3.80349i | 0.626610 | + | 0.127066i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −18.2202 | − | 36.9965i | −0.608016 | − | 1.23459i | ||||
\(899\) | 10.2556 | + | 24.7593i | 0.342045 | + | 0.825769i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −9.66042 | − | 4.00148i | −0.321835 | − | 0.133308i | ||||
\(902\) | −14.8123 | + | 16.8721i | −0.493197 | + | 0.561781i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 17.5194 | + | 15.4136i | 0.582686 | + | 0.512648i | ||||
\(905\) | −2.67018 | − | 9.96525i | −0.0887598 | − | 0.331256i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.60365 | − | 0.474430i | 0.119657 | − | 0.0157532i | −0.0704596 | − | 0.997515i | \(-0.522447\pi\) |
0.190117 | + | 0.981761i | \(0.439113\pi\) | |||||||
\(908\) | 6.61958 | + | 24.8100i | 0.219678 | + | 0.823350i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 8.70970 | + | 9.94216i | 0.288724 | + | 0.329579i | ||||
\(911\) | −0.465525 | + | 0.268771i | −0.0154235 | + | 0.00890478i | −0.507692 | − | 0.861539i | \(-0.669501\pi\) |
0.492268 | + | 0.870443i | \(0.336168\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.58354 | + | 3.80101i | 0.217883 | + | 0.125795i | ||||
\(914\) | −7.80351 | − | 39.3402i | −0.258117 | − | 1.30126i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.00831486 | − | 7.82284i | 0.000274731 | − | 0.258474i | ||||
\(917\) | 3.42565 | − | 8.27024i | 0.113125 | − | 0.273107i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 22.5820 | − | 22.5820i | 0.744911 | − | 0.744911i | −0.228608 | − | 0.973519i | \(-0.573417\pi\) |
0.973519 | + | 0.228608i | \(0.0734173\pi\) | |||||||
\(920\) | −0.831878 | − | 0.951631i | −0.0274262 | − | 0.0313743i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 3.21021 | − | 16.0941i | 0.105723 | − | 0.530032i | ||||
\(923\) | −28.3347 | + | 21.7420i | −0.932648 | + | 0.715646i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −6.46692 | + | 8.42785i | −0.212631 | + | 0.277106i | ||||
\(926\) | 3.15990 | − | 47.8213i | 0.103841 | − | 1.57151i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.78404 | − | 44.2788i | −0.0913907 | − | 1.45352i | ||||
\(929\) | −13.8436 | − | 23.9777i | −0.454192 | − | 0.786684i | 0.544449 | − | 0.838794i | \(-0.316739\pi\) |
−0.998641 | + | 0.0521098i | \(0.983405\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.7444 | + | 1.67783i | 0.417680 | + | 0.0549886i | ||||
\(932\) | −5.08637 | − | 38.9547i | −0.166610 | − | 1.27600i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −35.5349 | − | 31.1967i | −1.16274 | − | 1.02079i | ||||
\(935\) | −7.99824 | − | 7.99824i | −0.261570 | − | 0.261570i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11.9521 | + | 11.9521i | −0.390457 | + | 0.390457i | −0.874850 | − | 0.484393i | \(-0.839040\pi\) |
0.484393 | + | 0.874850i | \(0.339040\pi\) | |||||||
\(938\) | 24.4501 | − | 1.58950i | 0.798324 | − | 0.0518989i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 10.6664 | + | 18.5201i | 0.347899 | + | 0.604061i | ||||
\(941\) | −3.69048 | + | 28.0320i | −0.120306 | + | 0.913816i | 0.819732 | + | 0.572747i | \(0.194122\pi\) |
−0.940038 | + | 0.341069i | \(0.889211\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.39571 | − | 1.38317i | 0.0780151 | − | 0.0450421i | ||||
\(944\) | −31.9292 | − | 24.6081i | −1.03921 | − | 0.800926i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −16.2302 | − | 18.5269i | −0.527689 | − | 0.602360i | ||||
\(947\) | 7.55254 | + | 5.79527i | 0.245425 | + | 0.188321i | 0.724147 | − | 0.689645i | \(-0.242233\pi\) |
−0.478723 | + | 0.877966i | \(0.658900\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 15.6531 | + | 20.3995i | 0.508121 | + | 0.662197i | ||||
\(950\) | 7.87820 | − | 5.25799i | 0.255603 | − | 0.170592i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −18.9112 | − | 9.36350i | −0.612916 | − | 0.303473i | ||||
\(953\) | −33.5836 | − | 33.5836i | −1.08788 | − | 1.08788i | −0.995747 | − | 0.0921329i | \(-0.970632\pi\) |
−0.0921329 | − | 0.995747i | \(-0.529368\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 19.3626 | + | 8.02023i | 0.626558 | + | 0.259529i | ||||
\(956\) | 44.5300 | − | 18.3895i | 1.44020 | − | 0.594759i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 31.5574 | − | 47.1748i | 1.01957 | − | 1.52415i | ||||
\(959\) | −16.2854 | + | 28.2072i | −0.525884 | + | 0.910858i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.66206 | + | 16.7352i | 0.311679 | + | 0.539844i | ||||
\(962\) | 22.7778 | + | 1.50510i | 0.734387 | + | 0.0485262i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.77038 | − | 43.4733i | 0.185851 | − | 1.40018i | ||||
\(965\) | 0.920466 | + | 6.99163i | 0.0296308 | + | 0.225069i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.60024 | − | 0.964680i | 0.115776 | − | 0.0310220i | −0.200466 | − | 0.979701i | \(-0.564246\pi\) |
0.316242 | + | 0.948679i | \(0.397579\pi\) | |||||||
\(968\) | −24.5208 | + | 1.56792i | −0.788129 | + | 0.0503949i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.242793 | + | 3.73472i | 0.00779561 | + | 0.119915i | ||||
\(971\) | −3.07941 | + | 7.43435i | −0.0988229 | + | 0.238580i | −0.965557 | − | 0.260190i | \(-0.916215\pi\) |
0.866734 | + | 0.498770i | \(0.166215\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.73404 | + | 2.78933i | −0.215883 | + | 0.0894218i | ||||
\(974\) | 12.2347 | − | 35.9794i | 0.392024 | − | 1.15285i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −17.9214 | − | 7.46795i | −0.573649 | − | 0.239043i | ||||
\(977\) | 36.4497 | + | 21.0443i | 1.16613 | + | 0.673265i | 0.952765 | − | 0.303707i | \(-0.0982245\pi\) |
0.213364 | + | 0.976973i | \(0.431558\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.80424 | + | 4.45375i | 0.185504 | + | 0.142342i | ||||
\(980\) | −6.99173 | + | 12.0804i | −0.223343 | + | 0.385893i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 12.2836 | − | 24.8753i | 0.391985 | − | 0.793803i | ||||
\(983\) | −45.9691 | − | 12.3174i | −1.46619 | − | 0.392864i | −0.564565 | − | 0.825389i | \(-0.690956\pi\) |
−0.901622 | + | 0.432525i | \(0.857623\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −35.9373 | + | 9.62936i | −1.14506 | + | 0.306817i | ||||
\(986\) | −9.56921 | + | 47.9744i | −0.304746 | + | 1.52782i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −18.7957 | − | 7.80885i | −0.597971 | − | 0.248433i | ||||
\(989\) | 1.16137 | + | 2.80379i | 0.0369294 | + | 0.0891554i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 28.3715 | 0.901251 | 0.450625 | − | 0.892713i | \(-0.351201\pi\) | ||||
0.450625 | + | 0.892713i | \(0.351201\pi\) | |||||||
\(992\) | 3.72060 | + | 18.9680i | 0.118129 | + | 0.602235i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 21.6750 | + | 14.4995i | 0.687490 | + | 0.459895i | ||||
\(995\) | −36.5138 | − | 4.80713i | −1.15756 | − | 0.152396i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.23864 | − | 9.40843i | −0.0392282 | − | 0.297968i | −0.999801 | − | 0.0199398i | \(-0.993653\pi\) |
0.960573 | − | 0.278028i | \(-0.0896808\pi\) | |||||||
\(998\) | −30.7005 | + | 10.4032i | −0.971808 | + | 0.329309i | ||||
\(999\) | 0 | 0 |
(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 | 864.2.bk.a.37.18 | 368 | ||
3.2 | odd | 2 | 288.2.bc.a.229.29 | yes | 368 | ||
9.2 | odd | 6 | 288.2.bc.a.133.34 | yes | 368 | ||
9.7 | even | 3 | inner | 864.2.bk.a.613.13 | 368 | ||
32.13 | even | 8 | inner | 864.2.bk.a.685.13 | 368 | ||
96.77 | odd | 8 | 288.2.bc.a.13.34 | ✓ | 368 | ||
288.173 | odd | 24 | 288.2.bc.a.205.29 | yes | 368 | ||
288.205 | even | 24 | inner | 864.2.bk.a.397.18 | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bc.a.13.34 | ✓ | 368 | 96.77 | odd | 8 | ||
288.2.bc.a.133.34 | yes | 368 | 9.2 | odd | 6 | ||
288.2.bc.a.205.29 | yes | 368 | 288.173 | odd | 24 | ||
288.2.bc.a.229.29 | yes | 368 | 3.2 | odd | 2 | ||
864.2.bk.a.37.18 | 368 | 1.1 | even | 1 | trivial | ||
864.2.bk.a.397.18 | 368 | 288.205 | even | 24 | inner | ||
864.2.bk.a.613.13 | 368 | 9.7 | even | 3 | inner | ||
864.2.bk.a.685.13 | 368 | 32.13 | even | 8 | inner |