Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [289,2,Mod(38,289)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(289, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("289.38");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 289 = 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 289.c (of order \(4\), degree \(2\), 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: | \(2.30767661842\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | \(\Q(\zeta_{16})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{3} \) |
Twist minimal: | no (minimal twist has level 17) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 251.1 | ||
Root | \(0.923880 + 0.382683i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 289.251 |
Dual form | 289.2.c.c.38.3 |
$q$-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 \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.41421i | − | 1.70711i | −0.521005 | − | 0.853553i | \(-0.674443\pi\) | ||
0.521005 | − | 0.853553i | \(-0.325557\pi\) | |||||||
\(3\) | −0.765367 | − | 0.765367i | −0.441885 | − | 0.441885i | 0.450760 | − | 0.892645i | \(-0.351153\pi\) |
−0.892645 | + | 0.450760i | \(0.851153\pi\) | |||||||
\(4\) | −3.82843 | −1.91421 | ||||||||
\(5\) | −0.541196 | − | 0.541196i | −0.242030 | − | 0.242030i | 0.575659 | − | 0.817690i | \(-0.304745\pi\) |
−0.817690 | + | 0.575659i | \(0.804745\pi\) | |||||||
\(6\) | −1.84776 | + | 1.84776i | −0.754344 | + | 0.754344i | ||||
\(7\) | −1.84776 | + | 1.84776i | −0.698387 | + | 0.698387i | −0.964063 | − | 0.265675i | \(-0.914405\pi\) |
0.265675 | + | 0.964063i | \(0.414405\pi\) | |||||||
\(8\) | 4.41421i | 1.56066i | ||||||||
\(9\) | − | 1.82843i | − | 0.609476i | ||||||
\(10\) | −1.30656 | + | 1.30656i | −0.413171 | + | 0.413171i | ||||
\(11\) | −1.84776 | + | 1.84776i | −0.557120 | + | 0.557120i | −0.928486 | − | 0.371366i | \(-0.878889\pi\) |
0.371366 | + | 0.928486i | \(0.378889\pi\) | |||||||
\(12\) | 2.93015 | + | 2.93015i | 0.845862 | + | 0.845862i | ||||
\(13\) | −1.41421 | −0.392232 | −0.196116 | − | 0.980581i | \(-0.562833\pi\) | ||||
−0.196116 | + | 0.980581i | \(0.562833\pi\) | |||||||
\(14\) | 4.46088 | + | 4.46088i | 1.19222 | + | 1.19222i | ||||
\(15\) | 0.828427i | 0.213899i | ||||||||
\(16\) | 3.00000 | 0.750000 | ||||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | −4.41421 | −1.04044 | ||||||||
\(19\) | 0.828427i | 0.190054i | 0.995475 | + | 0.0950271i | \(0.0302938\pi\) | ||||
−0.995475 | + | 0.0950271i | \(0.969706\pi\) | |||||||
\(20\) | 2.07193 | + | 2.07193i | 0.463298 | + | 0.463298i | ||||
\(21\) | 2.82843 | 0.617213 | ||||||||
\(22\) | 4.46088 | + | 4.46088i | 0.951064 | + | 0.951064i | ||||
\(23\) | 3.37849 | − | 3.37849i | 0.704464 | − | 0.704464i | −0.260901 | − | 0.965366i | \(-0.584020\pi\) |
0.965366 | + | 0.260901i | \(0.0840196\pi\) | |||||||
\(24\) | 3.37849 | − | 3.37849i | 0.689632 | − | 0.689632i | ||||
\(25\) | − | 4.41421i | − | 0.882843i | ||||||
\(26\) | 3.41421i | 0.669582i | ||||||||
\(27\) | −3.69552 | + | 3.69552i | −0.711203 | + | 0.711203i | ||||
\(28\) | 7.07401 | − | 7.07401i | 1.33686 | − | 1.33686i | ||||
\(29\) | 0.224171 | + | 0.224171i | 0.0416275 | + | 0.0416275i | 0.727614 | − | 0.685987i | \(-0.240629\pi\) |
−0.685987 | + | 0.727614i | \(0.740629\pi\) | |||||||
\(30\) | 2.00000 | 0.365148 | ||||||||
\(31\) | −5.54328 | − | 5.54328i | −0.995602 | − | 0.995602i | 0.00438840 | − | 0.999990i | \(-0.498603\pi\) |
−0.999990 | + | 0.00438840i | \(0.998603\pi\) | |||||||
\(32\) | 1.58579i | 0.280330i | ||||||||
\(33\) | 2.82843 | 0.492366 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.00000 | 0.338062 | ||||||||
\(36\) | 7.00000i | 1.16667i | ||||||||
\(37\) | −6.53281 | − | 6.53281i | −1.07399 | − | 1.07399i | −0.997035 | − | 0.0769535i | \(-0.975481\pi\) |
−0.0769535 | − | 0.997035i | \(-0.524519\pi\) | |||||||
\(38\) | 2.00000 | 0.324443 | ||||||||
\(39\) | 1.08239 | + | 1.08239i | 0.173321 | + | 0.173321i | ||||
\(40\) | 2.38896 | − | 2.38896i | 0.377727 | − | 0.377727i | ||||
\(41\) | 0.858221 | − | 0.858221i | 0.134032 | − | 0.134032i | −0.636908 | − | 0.770940i | \(-0.719787\pi\) |
0.770940 | + | 0.636908i | \(0.219787\pi\) | |||||||
\(42\) | − | 6.82843i | − | 1.05365i | ||||||
\(43\) | 0.828427i | 0.126334i | 0.998003 | + | 0.0631670i | \(0.0201201\pi\) | ||||
−0.998003 | + | 0.0631670i | \(0.979880\pi\) | |||||||
\(44\) | 7.07401 | − | 7.07401i | 1.06645 | − | 1.06645i | ||||
\(45\) | −0.989538 | + | 0.989538i | −0.147512 | + | 0.147512i | ||||
\(46\) | −8.15640 | − | 8.15640i | −1.20260 | − | 1.20260i | ||||
\(47\) | −5.17157 | −0.754351 | −0.377176 | − | 0.926142i | \(-0.623105\pi\) | ||||
−0.377176 | + | 0.926142i | \(0.623105\pi\) | |||||||
\(48\) | −2.29610 | − | 2.29610i | −0.331414 | − | 0.331414i | ||||
\(49\) | 0.171573i | 0.0245104i | ||||||||
\(50\) | −10.6569 | −1.50711 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5.41421 | 0.750816 | ||||||||
\(53\) | − | 1.41421i | − | 0.194257i | −0.995272 | − | 0.0971286i | \(-0.969034\pi\) | ||
0.995272 | − | 0.0971286i | \(-0.0309658\pi\) | |||||||
\(54\) | 8.92177 | + | 8.92177i | 1.21410 | + | 1.21410i | ||||
\(55\) | 2.00000 | 0.269680 | ||||||||
\(56\) | −8.15640 | − | 8.15640i | −1.08995 | − | 1.08995i | ||||
\(57\) | 0.634051 | − | 0.634051i | 0.0839821 | − | 0.0839821i | ||||
\(58\) | 0.541196 | − | 0.541196i | 0.0710625 | − | 0.0710625i | ||||
\(59\) | 6.00000i | 0.781133i | 0.920575 | + | 0.390567i | \(0.127721\pi\) | ||||
−0.920575 | + | 0.390567i | \(0.872279\pi\) | |||||||
\(60\) | − | 3.17157i | − | 0.409448i | ||||||
\(61\) | 2.70598 | − | 2.70598i | 0.346465 | − | 0.346465i | −0.512326 | − | 0.858791i | \(-0.671216\pi\) |
0.858791 | + | 0.512326i | \(0.171216\pi\) | |||||||
\(62\) | −13.3827 | + | 13.3827i | −1.69960 | + | 1.69960i | ||||
\(63\) | 3.37849 | + | 3.37849i | 0.425650 | + | 0.425650i | ||||
\(64\) | 9.82843 | 1.22855 | ||||||||
\(65\) | 0.765367 | + | 0.765367i | 0.0949321 | + | 0.0949321i | ||||
\(66\) | − | 6.82843i | − | 0.840521i | ||||||
\(67\) | −1.17157 | −0.143130 | −0.0715652 | − | 0.997436i | \(-0.522799\pi\) | ||||
−0.0715652 | + | 0.997436i | \(0.522799\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.17157 | −0.622584 | ||||||||
\(70\) | − | 4.82843i | − | 0.577107i | ||||||
\(71\) | 3.82683 | + | 3.82683i | 0.454162 | + | 0.454162i | 0.896733 | − | 0.442572i | \(-0.145934\pi\) |
−0.442572 | + | 0.896733i | \(0.645934\pi\) | |||||||
\(72\) | 8.07107 | 0.951184 | ||||||||
\(73\) | −9.14594 | − | 9.14594i | −1.07045 | − | 1.07045i | −0.997322 | − | 0.0731289i | \(-0.976702\pi\) |
−0.0731289 | − | 0.997322i | \(-0.523298\pi\) | |||||||
\(74\) | −15.7716 | + | 15.7716i | −1.83341 | + | 1.83341i | ||||
\(75\) | −3.37849 | + | 3.37849i | −0.390115 | + | 0.390115i | ||||
\(76\) | − | 3.17157i | − | 0.363804i | ||||||
\(77\) | − | 6.82843i | − | 0.778171i | ||||||
\(78\) | 2.61313 | − | 2.61313i | 0.295878 | − | 0.295878i | ||||
\(79\) | 3.37849 | − | 3.37849i | 0.380110 | − | 0.380110i | −0.491032 | − | 0.871142i | \(-0.663380\pi\) |
0.871142 | + | 0.491032i | \(0.163380\pi\) | |||||||
\(80\) | −1.62359 | − | 1.62359i | −0.181523 | − | 0.181523i | ||||
\(81\) | 0.171573 | 0.0190637 | ||||||||
\(82\) | −2.07193 | − | 2.07193i | −0.228806 | − | 0.228806i | ||||
\(83\) | − | 11.6569i | − | 1.27951i | −0.768581 | − | 0.639753i | \(-0.779037\pi\) | ||
0.768581 | − | 0.639753i | \(-0.220963\pi\) | |||||||
\(84\) | −10.8284 | −1.18148 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.00000 | 0.215666 | ||||||||
\(87\) | − | 0.343146i | − | 0.0367891i | ||||||
\(88\) | −8.15640 | − | 8.15640i | −0.869475 | − | 0.869475i | ||||
\(89\) | −6.58579 | −0.698092 | −0.349046 | − | 0.937106i | \(-0.613494\pi\) | ||||
−0.349046 | + | 0.937106i | \(0.613494\pi\) | |||||||
\(90\) | 2.38896 | + | 2.38896i | 0.251818 | + | 0.251818i | ||||
\(91\) | 2.61313 | − | 2.61313i | 0.273930 | − | 0.273930i | ||||
\(92\) | −12.9343 | + | 12.9343i | −1.34850 | + | 1.34850i | ||||
\(93\) | 8.48528i | 0.879883i | ||||||||
\(94\) | 12.4853i | 1.28776i | ||||||||
\(95\) | 0.448342 | − | 0.448342i | 0.0459989 | − | 0.0459989i | ||||
\(96\) | 1.21371 | − | 1.21371i | 0.123874 | − | 0.123874i | ||||
\(97\) | −7.29818 | − | 7.29818i | −0.741018 | − | 0.741018i | 0.231756 | − | 0.972774i | \(-0.425553\pi\) |
−0.972774 | + | 0.231756i | \(0.925553\pi\) | |||||||
\(98\) | 0.414214 | 0.0418419 | ||||||||
\(99\) | 3.37849 | + | 3.37849i | 0.339551 | + | 0.339551i | ||||
\(100\) | 16.8995i | 1.68995i | ||||||||
\(101\) | 10.5858 | 1.05333 | 0.526663 | − | 0.850074i | \(-0.323443\pi\) | ||||
0.526663 | + | 0.850074i | \(0.323443\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.4853 | 1.23021 | 0.615106 | − | 0.788445i | \(-0.289113\pi\) | ||||
0.615106 | + | 0.788445i | \(0.289113\pi\) | |||||||
\(104\) | − | 6.24264i | − | 0.612141i | ||||||
\(105\) | −1.53073 | − | 1.53073i | −0.149384 | − | 0.149384i | ||||
\(106\) | −3.41421 | −0.331618 | ||||||||
\(107\) | 0.317025 | + | 0.317025i | 0.0306480 | + | 0.0306480i | 0.722265 | − | 0.691617i | \(-0.243101\pi\) |
−0.691617 | + | 0.722265i | \(0.743101\pi\) | |||||||
\(108\) | 14.1480 | − | 14.1480i | 1.36139 | − | 1.36139i | ||||
\(109\) | 10.9937 | − | 10.9937i | 1.05301 | − | 1.05301i | 0.0544912 | − | 0.998514i | \(-0.482646\pi\) |
0.998514 | − | 0.0544912i | \(-0.0173537\pi\) | |||||||
\(110\) | − | 4.82843i | − | 0.460372i | ||||||
\(111\) | 10.0000i | 0.949158i | ||||||||
\(112\) | −5.54328 | + | 5.54328i | −0.523790 | + | 0.523790i | ||||
\(113\) | 9.33165 | − | 9.33165i | 0.877848 | − | 0.877848i | −0.115464 | − | 0.993312i | \(-0.536835\pi\) |
0.993312 | + | 0.115464i | \(0.0368355\pi\) | |||||||
\(114\) | −1.53073 | − | 1.53073i | −0.143366 | − | 0.143366i | ||||
\(115\) | −3.65685 | −0.341003 | ||||||||
\(116\) | −0.858221 | − | 0.858221i | −0.0796839 | − | 0.0796839i | ||||
\(117\) | 2.58579i | 0.239056i | ||||||||
\(118\) | 14.4853 | 1.33348 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −3.65685 | −0.333824 | ||||||||
\(121\) | 4.17157i | 0.379234i | ||||||||
\(122\) | −6.53281 | − | 6.53281i | −0.591453 | − | 0.591453i | ||||
\(123\) | −1.31371 | −0.118453 | ||||||||
\(124\) | 21.2220 | + | 21.2220i | 1.90579 | + | 1.90579i | ||||
\(125\) | −5.09494 | + | 5.09494i | −0.455705 | + | 0.455705i | ||||
\(126\) | 8.15640 | − | 8.15640i | 0.726630 | − | 0.726630i | ||||
\(127\) | − | 5.31371i | − | 0.471515i | −0.971812 | − | 0.235758i | \(-0.924243\pi\) | ||
0.971812 | − | 0.235758i | \(-0.0757572\pi\) | |||||||
\(128\) | − | 20.5563i | − | 1.81694i | ||||||
\(129\) | 0.634051 | − | 0.634051i | 0.0558250 | − | 0.0558250i | ||||
\(130\) | 1.84776 | − | 1.84776i | 0.162059 | − | 0.162059i | ||||
\(131\) | 10.7695 | + | 10.7695i | 0.940938 | + | 0.940938i | 0.998351 | − | 0.0574124i | \(-0.0182850\pi\) |
−0.0574124 | + | 0.998351i | \(0.518285\pi\) | |||||||
\(132\) | −10.8284 | −0.942494 | ||||||||
\(133\) | −1.53073 | − | 1.53073i | −0.132731 | − | 0.132731i | ||||
\(134\) | 2.82843i | 0.244339i | ||||||||
\(135\) | 4.00000 | 0.344265 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −16.7279 | −1.42916 | −0.714581 | − | 0.699552i | \(-0.753383\pi\) | ||||
−0.714581 | + | 0.699552i | \(0.753383\pi\) | |||||||
\(138\) | 12.4853i | 1.06282i | ||||||||
\(139\) | 15.0991 | + | 15.0991i | 1.28069 | + | 1.28069i | 0.940276 | + | 0.340413i | \(0.110567\pi\) |
0.340413 | + | 0.940276i | \(0.389433\pi\) | |||||||
\(140\) | −7.65685 | −0.647122 | ||||||||
\(141\) | 3.95815 | + | 3.95815i | 0.333336 | + | 0.333336i | ||||
\(142\) | 9.23880 | − | 9.23880i | 0.775302 | − | 0.775302i | ||||
\(143\) | 2.61313 | − | 2.61313i | 0.218521 | − | 0.218521i | ||||
\(144\) | − | 5.48528i | − | 0.457107i | ||||||
\(145\) | − | 0.242641i | − | 0.0201502i | ||||||
\(146\) | −22.0803 | + | 22.0803i | −1.82737 | + | 1.82737i | ||||
\(147\) | 0.131316 | − | 0.131316i | 0.0108308 | − | 0.0108308i | ||||
\(148\) | 25.0104 | + | 25.0104i | 2.05584 | + | 2.05584i | ||||
\(149\) | 16.9706 | 1.39028 | 0.695141 | − | 0.718873i | \(-0.255342\pi\) | ||||
0.695141 | + | 0.718873i | \(0.255342\pi\) | |||||||
\(150\) | 8.15640 | + | 8.15640i | 0.665968 | + | 0.665968i | ||||
\(151\) | − | 7.17157i | − | 0.583614i | −0.956477 | − | 0.291807i | \(-0.905743\pi\) | ||
0.956477 | − | 0.291807i | \(-0.0942566\pi\) | |||||||
\(152\) | −3.65685 | −0.296610 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −16.4853 | −1.32842 | ||||||||
\(155\) | 6.00000i | 0.481932i | ||||||||
\(156\) | −4.14386 | − | 4.14386i | −0.331774 | − | 0.331774i | ||||
\(157\) | 9.65685 | 0.770701 | 0.385350 | − | 0.922770i | \(-0.374081\pi\) | ||||
0.385350 | + | 0.922770i | \(0.374081\pi\) | |||||||
\(158\) | −8.15640 | − | 8.15640i | −0.648889 | − | 0.648889i | ||||
\(159\) | −1.08239 | + | 1.08239i | −0.0858393 | + | 0.0858393i | ||||
\(160\) | 0.858221 | − | 0.858221i | 0.0678484 | − | 0.0678484i | ||||
\(161\) | 12.4853i | 0.983978i | ||||||||
\(162\) | − | 0.414214i | − | 0.0325437i | ||||||
\(163\) | 5.99162 | − | 5.99162i | 0.469300 | − | 0.469300i | −0.432388 | − | 0.901688i | \(-0.642329\pi\) |
0.901688 | + | 0.432388i | \(0.142329\pi\) | |||||||
\(164\) | −3.28564 | + | 3.28564i | −0.256565 | + | 0.256565i | ||||
\(165\) | −1.53073 | − | 1.53073i | −0.119167 | − | 0.119167i | ||||
\(166\) | −28.1421 | −2.18425 | ||||||||
\(167\) | 1.39942 | + | 1.39942i | 0.108290 | + | 0.108290i | 0.759176 | − | 0.650886i | \(-0.225602\pi\) |
−0.650886 | + | 0.759176i | \(0.725602\pi\) | |||||||
\(168\) | 12.4853i | 0.963260i | ||||||||
\(169\) | −11.0000 | −0.846154 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.51472 | 0.115833 | ||||||||
\(172\) | − | 3.17157i | − | 0.241830i | ||||||
\(173\) | −2.07193 | − | 2.07193i | −0.157526 | − | 0.157526i | 0.623944 | − | 0.781469i | \(-0.285530\pi\) |
−0.781469 | + | 0.623944i | \(0.785530\pi\) | |||||||
\(174\) | −0.828427 | −0.0628029 | ||||||||
\(175\) | 8.15640 | + | 8.15640i | 0.616566 | + | 0.616566i | ||||
\(176\) | −5.54328 | + | 5.54328i | −0.417840 | + | 0.417840i | ||||
\(177\) | 4.59220 | − | 4.59220i | 0.345171 | − | 0.345171i | ||||
\(178\) | 15.8995i | 1.19172i | ||||||||
\(179\) | 6.00000i | 0.448461i | 0.974536 | + | 0.224231i | \(0.0719869\pi\) | ||||
−0.974536 | + | 0.224231i | \(0.928013\pi\) | |||||||
\(180\) | 3.78837 | − | 3.78837i | 0.282369 | − | 0.282369i | ||||
\(181\) | −8.24926 | + | 8.24926i | −0.613162 | + | 0.613162i | −0.943769 | − | 0.330606i | \(-0.892747\pi\) |
0.330606 | + | 0.943769i | \(0.392747\pi\) | |||||||
\(182\) | −6.30864 | − | 6.30864i | −0.467628 | − | 0.467628i | ||||
\(183\) | −4.14214 | −0.306195 | ||||||||
\(184\) | 14.9134 | + | 14.9134i | 1.09943 | + | 1.09943i | ||||
\(185\) | 7.07107i | 0.519875i | ||||||||
\(186\) | 20.4853 | 1.50205 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 19.7990 | 1.44399 | ||||||||
\(189\) | − | 13.6569i | − | 0.993390i | ||||||
\(190\) | −1.08239 | − | 1.08239i | −0.0785250 | − | 0.0785250i | ||||
\(191\) | −20.0000 | −1.44715 | −0.723575 | − | 0.690246i | \(-0.757502\pi\) | ||||
−0.723575 | + | 0.690246i | \(0.757502\pi\) | |||||||
\(192\) | −7.52235 | − | 7.52235i | −0.542879 | − | 0.542879i | ||||
\(193\) | −1.62359 | + | 1.62359i | −0.116868 | + | 0.116868i | −0.763122 | − | 0.646254i | \(-0.776335\pi\) |
0.646254 | + | 0.763122i | \(0.276335\pi\) | |||||||
\(194\) | −17.6194 | + | 17.6194i | −1.26500 | + | 1.26500i | ||||
\(195\) | − | 1.17157i | − | 0.0838981i | ||||||
\(196\) | − | 0.656854i | − | 0.0469182i | ||||||
\(197\) | 3.28564 | − | 3.28564i | 0.234092 | − | 0.234092i | −0.580306 | − | 0.814398i | \(-0.697067\pi\) |
0.814398 | + | 0.580306i | \(0.197067\pi\) | |||||||
\(198\) | 8.15640 | − | 8.15640i | 0.579650 | − | 0.579650i | ||||
\(199\) | −8.15640 | − | 8.15640i | −0.578192 | − | 0.578192i | 0.356213 | − | 0.934405i | \(-0.384068\pi\) |
−0.934405 | + | 0.356213i | \(0.884068\pi\) | |||||||
\(200\) | 19.4853 | 1.37782 | ||||||||
\(201\) | 0.896683 | + | 0.896683i | 0.0632471 | + | 0.0632471i | ||||
\(202\) | − | 25.5563i | − | 1.79814i | ||||||
\(203\) | −0.828427 | −0.0581442 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.928932 | −0.0648794 | ||||||||
\(206\) | − | 30.1421i | − | 2.10010i | ||||||
\(207\) | −6.17733 | − | 6.17733i | −0.429354 | − | 0.429354i | ||||
\(208\) | −4.24264 | −0.294174 | ||||||||
\(209\) | −1.53073 | − | 1.53073i | −0.105883 | − | 0.105883i | ||||
\(210\) | −3.69552 | + | 3.69552i | −0.255015 | + | 0.255015i | ||||
\(211\) | −15.0991 | + | 15.0991i | −1.03946 | + | 1.03946i | −0.0402762 | + | 0.999189i | \(0.512824\pi\) |
−0.999189 | + | 0.0402762i | \(0.987176\pi\) | |||||||
\(212\) | 5.41421i | 0.371850i | ||||||||
\(213\) | − | 5.85786i | − | 0.401374i | ||||||
\(214\) | 0.765367 | − | 0.765367i | 0.0523194 | − | 0.0523194i | ||||
\(215\) | 0.448342 | − | 0.448342i | 0.0305766 | − | 0.0305766i | ||||
\(216\) | −16.3128 | − | 16.3128i | −1.10995 | − | 1.10995i | ||||
\(217\) | 20.4853 | 1.39063 | ||||||||
\(218\) | −26.5411 | − | 26.5411i | −1.79759 | − | 1.79759i | ||||
\(219\) | 14.0000i | 0.946032i | ||||||||
\(220\) | −7.65685 | −0.516225 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 24.1421 | 1.62031 | ||||||||
\(223\) | 4.82843i | 0.323335i | 0.986845 | + | 0.161668i | \(0.0516873\pi\) | ||||
−0.986845 | + | 0.161668i | \(0.948313\pi\) | |||||||
\(224\) | −2.93015 | − | 2.93015i | −0.195779 | − | 0.195779i | ||||
\(225\) | −8.07107 | −0.538071 | ||||||||
\(226\) | −22.5286 | − | 22.5286i | −1.49858 | − | 1.49858i | ||||
\(227\) | −12.3003 | + | 12.3003i | −0.816397 | + | 0.816397i | −0.985584 | − | 0.169187i | \(-0.945886\pi\) |
0.169187 | + | 0.985584i | \(0.445886\pi\) | |||||||
\(228\) | −2.42742 | + | 2.42742i | −0.160760 | + | 0.160760i | ||||
\(229\) | − | 17.1716i | − | 1.13473i | −0.823467 | − | 0.567365i | \(-0.807963\pi\) | ||
0.823467 | − | 0.567365i | \(-0.192037\pi\) | |||||||
\(230\) | 8.82843i | 0.582129i | ||||||||
\(231\) | −5.22625 | + | 5.22625i | −0.343862 | + | 0.343862i | ||||
\(232\) | −0.989538 | + | 0.989538i | −0.0649663 | + | 0.0649663i | ||||
\(233\) | −6.21579 | − | 6.21579i | −0.407210 | − | 0.407210i | 0.473555 | − | 0.880764i | \(-0.342971\pi\) |
−0.880764 | + | 0.473555i | \(0.842971\pi\) | |||||||
\(234\) | 6.24264 | 0.408094 | ||||||||
\(235\) | 2.79884 | + | 2.79884i | 0.182576 | + | 0.182576i | ||||
\(236\) | − | 22.9706i | − | 1.49526i | ||||||
\(237\) | −5.17157 | −0.335930 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 14.8284 | 0.959171 | 0.479586 | − | 0.877495i | \(-0.340787\pi\) | ||||
0.479586 | + | 0.877495i | \(0.340787\pi\) | |||||||
\(240\) | 2.48528i | 0.160424i | ||||||||
\(241\) | 2.52027 | + | 2.52027i | 0.162345 | + | 0.162345i | 0.783605 | − | 0.621260i | \(-0.213379\pi\) |
−0.621260 | + | 0.783605i | \(0.713379\pi\) | |||||||
\(242\) | 10.0711 | 0.647393 | ||||||||
\(243\) | 10.9552 | + | 10.9552i | 0.702779 | + | 0.702779i | ||||
\(244\) | −10.3596 | + | 10.3596i | −0.663209 | + | 0.663209i | ||||
\(245\) | 0.0928546 | − | 0.0928546i | 0.00593226 | − | 0.00593226i | ||||
\(246\) | 3.17157i | 0.202212i | ||||||||
\(247\) | − | 1.17157i | − | 0.0745454i | ||||||
\(248\) | 24.4692 | − | 24.4692i | 1.55380 | − | 1.55380i | ||||
\(249\) | −8.92177 | + | 8.92177i | −0.565394 | + | 0.565394i | ||||
\(250\) | 12.3003 | + | 12.3003i | 0.777937 | + | 0.777937i | ||||
\(251\) | −20.4853 | −1.29302 | −0.646510 | − | 0.762906i | \(-0.723772\pi\) | ||||
−0.646510 | + | 0.762906i | \(0.723772\pi\) | |||||||
\(252\) | −12.9343 | − | 12.9343i | −0.814785 | − | 0.814785i | ||||
\(253\) | 12.4853i | 0.784943i | ||||||||
\(254\) | −12.8284 | −0.804927 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −29.9706 | −1.87316 | ||||||||
\(257\) | − | 6.14214i | − | 0.383136i | −0.981479 | − | 0.191568i | \(-0.938643\pi\) | ||
0.981479 | − | 0.191568i | \(-0.0613572\pi\) | |||||||
\(258\) | −1.53073 | − | 1.53073i | −0.0952993 | − | 0.0952993i | ||||
\(259\) | 24.1421 | 1.50012 | ||||||||
\(260\) | −2.93015 | − | 2.93015i | −0.181720 | − | 0.181720i | ||||
\(261\) | 0.409880 | − | 0.409880i | 0.0253709 | − | 0.0253709i | ||||
\(262\) | 25.9999 | − | 25.9999i | 1.60628 | − | 1.60628i | ||||
\(263\) | − | 10.4853i | − | 0.646550i | −0.946305 | − | 0.323275i | \(-0.895216\pi\) | ||
0.946305 | − | 0.323275i | \(-0.104784\pi\) | |||||||
\(264\) | 12.4853i | 0.768416i | ||||||||
\(265\) | −0.765367 | + | 0.765367i | −0.0470161 | + | 0.0470161i | ||||
\(266\) | −3.69552 | + | 3.69552i | −0.226587 | + | 0.226587i | ||||
\(267\) | 5.04054 | + | 5.04054i | 0.308476 | + | 0.308476i | ||||
\(268\) | 4.48528 | 0.273982 | ||||||||
\(269\) | 18.7018 | + | 18.7018i | 1.14027 | + | 1.14027i | 0.988401 | + | 0.151865i | \(0.0485280\pi\) |
0.151865 | + | 0.988401i | \(0.451472\pi\) | |||||||
\(270\) | − | 9.65685i | − | 0.587697i | ||||||
\(271\) | −22.1421 | −1.34504 | −0.672519 | − | 0.740079i | \(-0.734788\pi\) | ||||
−0.672519 | + | 0.740079i | \(0.734788\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −4.00000 | −0.242091 | ||||||||
\(274\) | 40.3848i | 2.43973i | ||||||||
\(275\) | 8.15640 | + | 8.15640i | 0.491850 | + | 0.491850i | ||||
\(276\) | 19.7990 | 1.19176 | ||||||||
\(277\) | −14.1096 | − | 14.1096i | −0.847761 | − | 0.847761i | 0.142092 | − | 0.989853i | \(-0.454617\pi\) |
−0.989853 | + | 0.142092i | \(0.954617\pi\) | |||||||
\(278\) | 36.4524 | − | 36.4524i | 2.18627 | − | 2.18627i | ||||
\(279\) | −10.1355 | + | 10.1355i | −0.606795 | + | 0.606795i | ||||
\(280\) | 8.82843i | 0.527599i | ||||||||
\(281\) | 1.89949i | 0.113314i | 0.998394 | + | 0.0566572i | \(0.0180442\pi\) | ||||
−0.998394 | + | 0.0566572i | \(0.981956\pi\) | |||||||
\(282\) | 9.55582 | − | 9.55582i | 0.569041 | − | 0.569041i | ||||
\(283\) | −13.1969 | + | 13.1969i | −0.784477 | + | 0.784477i | −0.980583 | − | 0.196106i | \(-0.937170\pi\) |
0.196106 | + | 0.980583i | \(0.437170\pi\) | |||||||
\(284\) | −14.6508 | − | 14.6508i | −0.869362 | − | 0.869362i | ||||
\(285\) | −0.686292 | −0.0406524 | ||||||||
\(286\) | −6.30864 | − | 6.30864i | −0.373038 | − | 0.373038i | ||||
\(287\) | 3.17157i | 0.187212i | ||||||||
\(288\) | 2.89949 | 0.170854 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | −0.585786 | −0.0343986 | ||||||||
\(291\) | 11.1716i | 0.654889i | ||||||||
\(292\) | 35.0146 | + | 35.0146i | 2.04907 | + | 2.04907i | ||||
\(293\) | 12.3431 | 0.721094 | 0.360547 | − | 0.932741i | \(-0.382590\pi\) | ||||
0.360547 | + | 0.932741i | \(0.382590\pi\) | |||||||
\(294\) | −0.317025 | − | 0.317025i | −0.0184893 | − | 0.0184893i | ||||
\(295\) | 3.24718 | − | 3.24718i | 0.189058 | − | 0.189058i | ||||
\(296\) | 28.8372 | − | 28.8372i | 1.67613 | − | 1.67613i | ||||
\(297\) | − | 13.6569i | − | 0.792451i | ||||||
\(298\) | − | 40.9706i | − | 2.37336i | ||||||
\(299\) | −4.77791 | + | 4.77791i | −0.276314 | + | 0.276314i | ||||
\(300\) | 12.9343 | − | 12.9343i | 0.746763 | − | 0.746763i | ||||
\(301\) | −1.53073 | − | 1.53073i | −0.0882300 | − | 0.0882300i | ||||
\(302\) | −17.3137 | −0.996292 | ||||||||
\(303\) | −8.10201 | − | 8.10201i | −0.465448 | − | 0.465448i | ||||
\(304\) | 2.48528i | 0.142541i | ||||||||
\(305\) | −2.92893 | −0.167710 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −26.1421 | −1.49201 | −0.746005 | − | 0.665940i | \(-0.768031\pi\) | ||||
−0.746005 | + | 0.665940i | \(0.768031\pi\) | |||||||
\(308\) | 26.1421i | 1.48959i | ||||||||
\(309\) | −9.55582 | − | 9.55582i | −0.543612 | − | 0.543612i | ||||
\(310\) | 14.4853 | 0.822709 | ||||||||
\(311\) | 18.1606 | + | 18.1606i | 1.02979 | + | 1.02979i | 0.999542 | + | 0.0302488i | \(0.00962996\pi\) |
0.0302488 | + | 0.999542i | \(0.490370\pi\) | |||||||
\(312\) | −4.77791 | + | 4.77791i | −0.270496 | + | 0.270496i | ||||
\(313\) | −6.98116 | + | 6.98116i | −0.394598 | + | 0.394598i | −0.876323 | − | 0.481724i | \(-0.840011\pi\) |
0.481724 | + | 0.876323i | \(0.340011\pi\) | |||||||
\(314\) | − | 23.3137i | − | 1.31567i | ||||||
\(315\) | − | 3.65685i | − | 0.206040i | ||||||
\(316\) | −12.9343 | + | 12.9343i | −0.727612 | + | 0.727612i | ||||
\(317\) | 13.6068 | − | 13.6068i | 0.764235 | − | 0.764235i | −0.212850 | − | 0.977085i | \(-0.568274\pi\) |
0.977085 | + | 0.212850i | \(0.0682744\pi\) | |||||||
\(318\) | 2.61313 | + | 2.61313i | 0.146537 | + | 0.146537i | ||||
\(319\) | −0.828427 | −0.0463830 | ||||||||
\(320\) | −5.31911 | − | 5.31911i | −0.297347 | − | 0.297347i | ||||
\(321\) | − | 0.485281i | − | 0.0270858i | ||||||
\(322\) | 30.1421 | 1.67976 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −0.656854 | −0.0364919 | ||||||||
\(325\) | 6.24264i | 0.346279i | ||||||||
\(326\) | −14.4650 | − | 14.4650i | −0.801145 | − | 0.801145i | ||||
\(327\) | −16.8284 | −0.930614 | ||||||||
\(328\) | 3.78837 | + | 3.78837i | 0.209178 | + | 0.209178i | ||||
\(329\) | 9.55582 | − | 9.55582i | 0.526829 | − | 0.526829i | ||||
\(330\) | −3.69552 | + | 3.69552i | −0.203432 | + | 0.203432i | ||||
\(331\) | − | 21.7990i | − | 1.19818i | −0.800681 | − | 0.599090i | \(-0.795529\pi\) | ||
0.800681 | − | 0.599090i | \(-0.204471\pi\) | |||||||
\(332\) | 44.6274i | 2.44925i | ||||||||
\(333\) | −11.9448 | + | 11.9448i | −0.654570 | + | 0.654570i | ||||
\(334\) | 3.37849 | − | 3.37849i | 0.184863 | − | 0.184863i | ||||
\(335\) | 0.634051 | + | 0.634051i | 0.0346419 | + | 0.0346419i | ||||
\(336\) | 8.48528 | 0.462910 | ||||||||
\(337\) | −3.97408 | − | 3.97408i | −0.216482 | − | 0.216482i | 0.590532 | − | 0.807014i | \(-0.298918\pi\) |
−0.807014 | + | 0.590532i | \(0.798918\pi\) | |||||||
\(338\) | 26.5563i | 1.44447i | ||||||||
\(339\) | −14.2843 | −0.775815 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 20.4853 | 1.10934 | ||||||||
\(342\) | − | 3.65685i | − | 0.197740i | ||||||
\(343\) | −13.2513 | − | 13.2513i | −0.715505 | − | 0.715505i | ||||
\(344\) | −3.65685 | −0.197164 | ||||||||
\(345\) | 2.79884 | + | 2.79884i | 0.150684 | + | 0.150684i | ||||
\(346\) | −5.00208 | + | 5.00208i | −0.268914 | + | 0.268914i | ||||
\(347\) | 11.8519 | − | 11.8519i | 0.636244 | − | 0.636244i | −0.313383 | − | 0.949627i | \(-0.601462\pi\) |
0.949627 | + | 0.313383i | \(0.101462\pi\) | |||||||
\(348\) | 1.31371i | 0.0704222i | ||||||||
\(349\) | − | 4.24264i | − | 0.227103i | −0.993532 | − | 0.113552i | \(-0.963777\pi\) | ||
0.993532 | − | 0.113552i | \(-0.0362227\pi\) | |||||||
\(350\) | 19.6913 | − | 19.6913i | 1.05254 | − | 1.05254i | ||||
\(351\) | 5.22625 | − | 5.22625i | 0.278957 | − | 0.278957i | ||||
\(352\) | −2.93015 | − | 2.93015i | −0.156178 | − | 0.156178i | ||||
\(353\) | 14.0000 | 0.745145 | 0.372572 | − | 0.928003i | \(-0.378476\pi\) | ||||
0.372572 | + | 0.928003i | \(0.378476\pi\) | |||||||
\(354\) | −11.0866 | − | 11.0866i | −0.589244 | − | 0.589244i | ||||
\(355\) | − | 4.14214i | − | 0.219842i | ||||||
\(356\) | 25.2132 | 1.33630 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 14.4853 | 0.765571 | ||||||||
\(359\) | − | 28.8284i | − | 1.52151i | −0.649041 | − | 0.760753i | \(-0.724830\pi\) | ||
0.649041 | − | 0.760753i | \(-0.275170\pi\) | |||||||
\(360\) | −4.36803 | − | 4.36803i | −0.230215 | − | 0.230215i | ||||
\(361\) | 18.3137 | 0.963879 | ||||||||
\(362\) | 19.9155 | + | 19.9155i | 1.04673 | + | 1.04673i | ||||
\(363\) | 3.19278 | − | 3.19278i | 0.167578 | − | 0.167578i | ||||
\(364\) | −10.0042 | + | 10.0042i | −0.524361 | + | 0.524361i | ||||
\(365\) | 9.89949i | 0.518163i | ||||||||
\(366\) | 10.0000i | 0.522708i | ||||||||
\(367\) | 3.11586 | − | 3.11586i | 0.162647 | − | 0.162647i | −0.621091 | − | 0.783738i | \(-0.713310\pi\) |
0.783738 | + | 0.621091i | \(0.213310\pi\) | |||||||
\(368\) | 10.1355 | − | 10.1355i | 0.528348 | − | 0.528348i | ||||
\(369\) | −1.56920 | − | 1.56920i | −0.0816890 | − | 0.0816890i | ||||
\(370\) | 17.0711 | 0.887483 | ||||||||
\(371\) | 2.61313 | + | 2.61313i | 0.135667 | + | 0.135667i | ||||
\(372\) | − | 32.4853i | − | 1.68428i | ||||||
\(373\) | −11.5563 | −0.598365 | −0.299183 | − | 0.954196i | \(-0.596714\pi\) | ||||
−0.299183 | + | 0.954196i | \(0.596714\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.79899 | 0.402738 | ||||||||
\(376\) | − | 22.8284i | − | 1.17729i | ||||||
\(377\) | −0.317025 | − | 0.317025i | −0.0163276 | − | 0.0163276i | ||||
\(378\) | −32.9706 | −1.69582 | ||||||||
\(379\) | −1.84776 | − | 1.84776i | −0.0949130 | − | 0.0949130i | 0.658056 | − | 0.752969i | \(-0.271379\pi\) |
−0.752969 | + | 0.658056i | \(0.771379\pi\) | |||||||
\(380\) | −1.71644 | + | 1.71644i | −0.0880517 | + | 0.0880517i | ||||
\(381\) | −4.06694 | + | 4.06694i | −0.208355 | + | 0.208355i | ||||
\(382\) | 48.2843i | 2.47044i | ||||||||
\(383\) | 22.4853i | 1.14894i | 0.818524 | + | 0.574472i | \(0.194793\pi\) | ||||
−0.818524 | + | 0.574472i | \(0.805207\pi\) | |||||||
\(384\) | −15.7331 | + | 15.7331i | −0.802879 | + | 0.802879i | ||||
\(385\) | −3.69552 | + | 3.69552i | −0.188341 | + | 0.188341i | ||||
\(386\) | 3.91969 | + | 3.91969i | 0.199507 | + | 0.199507i | ||||
\(387\) | 1.51472 | 0.0769975 | ||||||||
\(388\) | 27.9406 | + | 27.9406i | 1.41847 | + | 1.41847i | ||||
\(389\) | 12.1421i | 0.615631i | 0.951446 | + | 0.307815i | \(0.0995979\pi\) | ||||
−0.951446 | + | 0.307815i | \(0.900402\pi\) | |||||||
\(390\) | −2.82843 | −0.143223 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −0.757359 | −0.0382524 | ||||||||
\(393\) | − | 16.4853i | − | 0.831572i | ||||||
\(394\) | −7.93223 | − | 7.93223i | −0.399620 | − | 0.399620i | ||||
\(395\) | −3.65685 | −0.183996 | ||||||||
\(396\) | −12.9343 | − | 12.9343i | −0.649974 | − | 0.649974i | ||||
\(397\) | −12.5788 | + | 12.5788i | −0.631313 | + | 0.631313i | −0.948397 | − | 0.317084i | \(-0.897296\pi\) |
0.317084 | + | 0.948397i | \(0.397296\pi\) | |||||||
\(398\) | −19.6913 | + | 19.6913i | −0.987036 | + | 0.987036i | ||||
\(399\) | 2.34315i | 0.117304i | ||||||||
\(400\) | − | 13.2426i | − | 0.662132i | ||||||
\(401\) | 0.409880 | − | 0.409880i | 0.0204684 | − | 0.0204684i | −0.696799 | − | 0.717267i | \(-0.745393\pi\) |
0.717267 | + | 0.696799i | \(0.245393\pi\) | |||||||
\(402\) | 2.16478 | − | 2.16478i | 0.107970 | − | 0.107970i | ||||
\(403\) | 7.83938 | + | 7.83938i | 0.390507 | + | 0.390507i | ||||
\(404\) | −40.5269 | −2.01629 | ||||||||
\(405\) | −0.0928546 | − | 0.0928546i | −0.00461398 | − | 0.00461398i | ||||
\(406\) | 2.00000i | 0.0992583i | ||||||||
\(407\) | 24.1421 | 1.19668 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.31371 | −0.163852 | −0.0819262 | − | 0.996638i | \(-0.526107\pi\) | ||||
−0.0819262 | + | 0.996638i | \(0.526107\pi\) | |||||||
\(410\) | 2.24264i | 0.110756i | ||||||||
\(411\) | 12.8030 | + | 12.8030i | 0.631525 | + | 0.631525i | ||||
\(412\) | −47.7990 | −2.35489 | ||||||||
\(413\) | −11.0866 | − | 11.0866i | −0.545534 | − | 0.545534i | ||||
\(414\) | −14.9134 | + | 14.9134i | −0.732953 | + | 0.732953i | ||||
\(415\) | −6.30864 | + | 6.30864i | −0.309679 | + | 0.309679i | ||||
\(416\) | − | 2.24264i | − | 0.109955i | ||||||
\(417\) | − | 23.1127i | − | 1.13183i | ||||||
\(418\) | −3.69552 | + | 3.69552i | −0.180754 | + | 0.180754i | ||||
\(419\) | −9.42450 | + | 9.42450i | −0.460417 | + | 0.460417i | −0.898792 | − | 0.438375i | \(-0.855554\pi\) |
0.438375 | + | 0.898792i | \(0.355554\pi\) | |||||||
\(420\) | 5.86030 | + | 5.86030i | 0.285953 | + | 0.285953i | ||||
\(421\) | −14.5858 | −0.710868 | −0.355434 | − | 0.934701i | \(-0.615667\pi\) | ||||
−0.355434 | + | 0.934701i | \(0.615667\pi\) | |||||||
\(422\) | 36.4524 | + | 36.4524i | 1.77448 | + | 1.77448i | ||||
\(423\) | 9.45584i | 0.459759i | ||||||||
\(424\) | 6.24264 | 0.303169 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −14.1421 | −0.685189 | ||||||||
\(427\) | 10.0000i | 0.483934i | ||||||||
\(428\) | −1.21371 | − | 1.21371i | −0.0586668 | − | 0.0586668i | ||||
\(429\) | −4.00000 | −0.193122 | ||||||||
\(430\) | −1.08239 | − | 1.08239i | −0.0521976 | − | 0.0521976i | ||||
\(431\) | −5.17186 | + | 5.17186i | −0.249120 | + | 0.249120i | −0.820609 | − | 0.571490i | \(-0.806366\pi\) |
0.571490 | + | 0.820609i | \(0.306366\pi\) | |||||||
\(432\) | −11.0866 | + | 11.0866i | −0.533402 | + | 0.533402i | ||||
\(433\) | 20.8284i | 1.00095i | 0.865751 | + | 0.500475i | \(0.166841\pi\) | ||||
−0.865751 | + | 0.500475i | \(0.833159\pi\) | |||||||
\(434\) | − | 49.4558i | − | 2.37396i | ||||||
\(435\) | −0.185709 | + | 0.185709i | −0.00890407 | + | 0.00890407i | ||||
\(436\) | −42.0886 | + | 42.0886i | −2.01568 | + | 2.01568i | ||||
\(437\) | 2.79884 | + | 2.79884i | 0.133886 | + | 0.133886i | ||||
\(438\) | 33.7990 | 1.61498 | ||||||||
\(439\) | −7.52235 | − | 7.52235i | −0.359022 | − | 0.359022i | 0.504430 | − | 0.863452i | \(-0.331703\pi\) |
−0.863452 | + | 0.504430i | \(0.831703\pi\) | |||||||
\(440\) | 8.82843i | 0.420879i | ||||||||
\(441\) | 0.313708 | 0.0149385 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −23.7990 | −1.13072 | −0.565362 | − | 0.824843i | \(-0.691264\pi\) | ||||
−0.565362 | + | 0.824843i | \(0.691264\pi\) | |||||||
\(444\) | − | 38.2843i | − | 1.81689i | ||||||
\(445\) | 3.56420 | + | 3.56420i | 0.168959 | + | 0.168959i | ||||
\(446\) | 11.6569 | 0.551968 | ||||||||
\(447\) | −12.9887 | − | 12.9887i | −0.614345 | − | 0.614345i | ||||
\(448\) | −18.1606 | + | 18.1606i | −0.858006 | + | 0.858006i | ||||
\(449\) | 8.56628 | − | 8.56628i | 0.404268 | − | 0.404268i | −0.475466 | − | 0.879734i | \(-0.657721\pi\) |
0.879734 | + | 0.475466i | \(0.157721\pi\) | |||||||
\(450\) | 19.4853i | 0.918545i | ||||||||
\(451\) | 3.17157i | 0.149344i | ||||||||
\(452\) | −35.7255 | + | 35.7255i | −1.68039 | + | 1.68039i | ||||
\(453\) | −5.48888 | + | 5.48888i | −0.257890 | + | 0.257890i | ||||
\(454\) | 29.6955 | + | 29.6955i | 1.39368 | + | 1.39368i | ||||
\(455\) | −2.82843 | −0.132599 | ||||||||
\(456\) | 2.79884 | + | 2.79884i | 0.131067 | + | 0.131067i | ||||
\(457\) | − | 13.1716i | − | 0.616140i | −0.951364 | − | 0.308070i | \(-0.900317\pi\) | ||
0.951364 | − | 0.308070i | \(-0.0996831\pi\) | |||||||
\(458\) | −41.4558 | −1.93710 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.0000 | 0.652753 | ||||||||
\(461\) | 24.0416i | 1.11973i | 0.828584 | + | 0.559865i | \(0.189147\pi\) | ||||
−0.828584 | + | 0.559865i | \(0.810853\pi\) | |||||||
\(462\) | 12.6173 | + | 12.6173i | 0.587009 | + | 0.587009i | ||||
\(463\) | −14.6274 | −0.679794 | −0.339897 | − | 0.940463i | \(-0.610392\pi\) | ||||
−0.339897 | + | 0.940463i | \(0.610392\pi\) | |||||||
\(464\) | 0.672512 | + | 0.672512i | 0.0312206 | + | 0.0312206i | ||||
\(465\) | 4.59220 | − | 4.59220i | 0.212958 | − | 0.212958i | ||||
\(466\) | −15.0062 | + | 15.0062i | −0.695151 | + | 0.695151i | ||||
\(467\) | 32.6274i | 1.50982i | 0.655830 | + | 0.754908i | \(0.272319\pi\) | ||||
−0.655830 | + | 0.754908i | \(0.727681\pi\) | |||||||
\(468\) | − | 9.89949i | − | 0.457604i | ||||||
\(469\) | 2.16478 | − | 2.16478i | 0.0999605 | − | 0.0999605i | ||||
\(470\) | 6.75699 | − | 6.75699i | 0.311677 | − | 0.311677i | ||||
\(471\) | −7.39104 | − | 7.39104i | −0.340561 | − | 0.340561i | ||||
\(472\) | −26.4853 | −1.21908 | ||||||||
\(473\) | −1.53073 | − | 1.53073i | −0.0703832 | − | 0.0703832i | ||||
\(474\) | 12.4853i | 0.573468i | ||||||||
\(475\) | 3.65685 | 0.167788 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.58579 | −0.118395 | ||||||||
\(478\) | − | 35.7990i | − | 1.63741i | ||||||
\(479\) | −3.64113 | − | 3.64113i | −0.166367 | − | 0.166367i | 0.619013 | − | 0.785381i | \(-0.287533\pi\) |
−0.785381 | + | 0.619013i | \(0.787533\pi\) | |||||||
\(480\) | −1.31371 | −0.0599623 | ||||||||
\(481\) | 9.23880 | + | 9.23880i | 0.421253 | + | 0.421253i | ||||
\(482\) | 6.08447 | − | 6.08447i | 0.277140 | − | 0.277140i | ||||
\(483\) | 9.55582 | − | 9.55582i | 0.434805 | − | 0.434805i | ||||
\(484\) | − | 15.9706i | − | 0.725935i | ||||||
\(485\) | 7.89949i | 0.358698i | ||||||||
\(486\) | 26.4483 | − | 26.4483i | 1.19972 | − | 1.19972i | ||||
\(487\) | 18.6089 | − | 18.6089i | 0.843250 | − | 0.843250i | −0.146030 | − | 0.989280i | \(-0.546650\pi\) |
0.989280 | + | 0.146030i | \(0.0466496\pi\) | |||||||
\(488\) | 11.9448 | + | 11.9448i | 0.540715 | + | 0.540715i | ||||
\(489\) | −9.17157 | −0.414753 | ||||||||
\(490\) | −0.224171 | − | 0.224171i | −0.0101270 | − | 0.0101270i | ||||
\(491\) | − | 37.1127i | − | 1.67487i | −0.546535 | − | 0.837436i | \(-0.684053\pi\) | ||
0.546535 | − | 0.837436i | \(-0.315947\pi\) | |||||||
\(492\) | 5.02944 | 0.226745 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −2.82843 | −0.127257 | ||||||||
\(495\) | − | 3.65685i | − | 0.164363i | ||||||
\(496\) | −16.6298 | − | 16.6298i | −0.746701 | − | 0.746701i | ||||
\(497\) | −14.1421 | −0.634361 | ||||||||
\(498\) | 21.5391 | + | 21.5391i | 0.965188 | + | 0.965188i | ||||
\(499\) | 15.1760 | − | 15.1760i | 0.679372 | − | 0.679372i | −0.280486 | − | 0.959858i | \(-0.590496\pi\) |
0.959858 | + | 0.280486i | \(0.0904957\pi\) | |||||||
\(500\) | 19.5056 | − | 19.5056i | 0.872316 | − | 0.872316i | ||||
\(501\) | − | 2.14214i | − | 0.0957036i | ||||||
\(502\) | 49.4558i | 2.20732i | ||||||||
\(503\) | 15.0991 | − | 15.0991i | 0.673235 | − | 0.673235i | −0.285225 | − | 0.958461i | \(-0.592068\pi\) |
0.958461 | + | 0.285225i | \(0.0920683\pi\) | |||||||
\(504\) | −14.9134 | + | 14.9134i | −0.664295 | + | 0.664295i | ||||
\(505\) | −5.72899 | − | 5.72899i | −0.254937 | − | 0.254937i | ||||
\(506\) | 30.1421 | 1.33998 | ||||||||
\(507\) | 8.41904 | + | 8.41904i | 0.373902 | + | 0.373902i | ||||
\(508\) | 20.3431i | 0.902581i | ||||||||
\(509\) | 36.9706 | 1.63869 | 0.819346 | − | 0.573300i | \(-0.194337\pi\) | ||||
0.819346 | + | 0.573300i | \(0.194337\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 33.7990 | 1.49518 | ||||||||
\(512\) | 31.2426i | 1.38074i | ||||||||
\(513\) | −3.06147 | − | 3.06147i | −0.135167 | − | 0.135167i | ||||
\(514\) | −14.8284 | −0.654054 | ||||||||
\(515\) | −6.75699 | − | 6.75699i | −0.297748 | − | 0.297748i | ||||
\(516\) | −2.42742 | + | 2.42742i | −0.106861 | + | 0.106861i | ||||
\(517\) | 9.55582 | − | 9.55582i | 0.420265 | − | 0.420265i | ||||
\(518\) | − | 58.2843i | − | 2.56086i | ||||||
\(519\) | 3.17157i | 0.139217i | ||||||||
\(520\) | −3.37849 | + | 3.37849i | −0.148157 | + | 0.148157i | ||||
\(521\) | 13.1585 | − | 13.1585i | 0.576484 | − | 0.576484i | −0.357449 | − | 0.933933i | \(-0.616353\pi\) |
0.933933 | + | 0.357449i | \(0.116353\pi\) | |||||||
\(522\) | −0.989538 | − | 0.989538i | −0.0433109 | − | 0.0433109i | ||||
\(523\) | −1.17157 | −0.0512293 | −0.0256147 | − | 0.999672i | \(-0.508154\pi\) | ||||
−0.0256147 | + | 0.999672i | \(0.508154\pi\) | |||||||
\(524\) | −41.2304 | − | 41.2304i | −1.80116 | − | 1.80116i | ||||
\(525\) | − | 12.4853i | − | 0.544902i | ||||||
\(526\) | −25.3137 | −1.10373 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 8.48528 | 0.369274 | ||||||||
\(529\) | 0.171573i | 0.00745969i | ||||||||
\(530\) | 1.84776 | + | 1.84776i | 0.0802615 | + | 0.0802615i | ||||
\(531\) | 10.9706 | 0.476082 | ||||||||
\(532\) | 5.86030 | + | 5.86030i | 0.254076 | + | 0.254076i | ||||
\(533\) | −1.21371 | + | 1.21371i | −0.0525715 | + | 0.0525715i | ||||
\(534\) | 12.1689 | − | 12.1689i | 0.526602 | − | 0.526602i | ||||
\(535\) | − | 0.343146i | − | 0.0148355i | ||||||
\(536\) | − | 5.17157i | − | 0.223378i | ||||||
\(537\) | 4.59220 | − | 4.59220i | 0.198168 | − | 0.198168i | ||||
\(538\) | 45.1500 | − | 45.1500i | 1.94656 | − | 1.94656i | ||||
\(539\) | −0.317025 | − | 0.317025i | −0.0136552 | − | 0.0136552i | ||||
\(540\) | −15.3137 | −0.658997 | ||||||||
\(541\) | −13.0272 | − | 13.0272i | −0.560082 | − | 0.560082i | 0.369249 | − | 0.929331i | \(-0.379615\pi\) |
−0.929331 | + | 0.369249i | \(0.879615\pi\) | |||||||
\(542\) | 53.4558i | 2.29613i | ||||||||
\(543\) | 12.6274 | 0.541894 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −11.8995 | −0.509718 | ||||||||
\(546\) | 9.65685i | 0.413275i | ||||||||
\(547\) | −5.72899 | − | 5.72899i | −0.244954 | − | 0.244954i | 0.573942 | − | 0.818896i | \(-0.305413\pi\) |
−0.818896 | + | 0.573942i | \(0.805413\pi\) | |||||||
\(548\) | 64.0416 | 2.73572 | ||||||||
\(549\) | −4.94769 | − | 4.94769i | −0.211162 | − | 0.211162i | ||||
\(550\) | 19.6913 | − | 19.6913i | 0.839640 | − | 0.839640i | ||||
\(551\) | −0.185709 | + | 0.185709i | −0.00791148 | + | 0.00791148i | ||||
\(552\) | − | 22.8284i | − | 0.971642i | ||||||
\(553\) | 12.4853i | 0.530928i | ||||||||
\(554\) | −34.0635 | + | 34.0635i | −1.44722 | + | 1.44722i | ||||
\(555\) | 5.41196 | − | 5.41196i | 0.229725 | − | 0.229725i | ||||
\(556\) | −57.8058 | − | 57.8058i | −2.45151 | − | 2.45151i | ||||
\(557\) | 19.7574 | 0.837146 | 0.418573 | − | 0.908183i | \(-0.362530\pi\) | ||||
0.418573 | + | 0.908183i | \(0.362530\pi\) | |||||||
\(558\) | 24.4692 | + | 24.4692i | 1.03586 | + | 1.03586i | ||||
\(559\) | − | 1.17157i | − | 0.0495523i | ||||||
\(560\) | 6.00000 | 0.253546 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.58579 | 0.193440 | ||||||||
\(563\) | 34.7696i | 1.46536i | 0.680572 | + | 0.732681i | \(0.261731\pi\) | ||||
−0.680572 | + | 0.732681i | \(0.738269\pi\) | |||||||
\(564\) | −15.1535 | − | 15.1535i | −0.638077 | − | 0.638077i | ||||
\(565\) | −10.1005 | −0.424931 | ||||||||
\(566\) | 31.8602 | + | 31.8602i | 1.33919 | + | 1.33919i | ||||
\(567\) | −0.317025 | + | 0.317025i | −0.0133138 | + | 0.0133138i | ||||
\(568\) | −16.8925 | + | 16.8925i | −0.708792 | + | 0.708792i | ||||
\(569\) | 12.0416i | 0.504811i | 0.967621 | + | 0.252406i | \(0.0812218\pi\) | ||||
−0.967621 | + | 0.252406i | \(0.918778\pi\) | |||||||
\(570\) | 1.65685i | 0.0693980i | ||||||||
\(571\) | 3.00707 | − | 3.00707i | 0.125842 | − | 0.125842i | −0.641381 | − | 0.767223i | \(-0.721638\pi\) |
0.767223 | + | 0.641381i | \(0.221638\pi\) | |||||||
\(572\) | −10.0042 | + | 10.0042i | −0.418295 | + | 0.418295i | ||||
\(573\) | 15.3073 | + | 15.3073i | 0.639473 | + | 0.639473i | ||||
\(574\) | 7.65685 | 0.319591 | ||||||||
\(575\) | −14.9134 | − | 14.9134i | −0.621931 | − | 0.621931i | ||||
\(576\) | − | 17.9706i | − | 0.748773i | ||||||
\(577\) | 27.0711 | 1.12698 | 0.563492 | − | 0.826122i | \(-0.309458\pi\) | ||||
0.563492 | + | 0.826122i | \(0.309458\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 2.48528 | 0.103285 | ||||||||
\(580\) | 0.928932i | 0.0385718i | ||||||||
\(581\) | 21.5391 | + | 21.5391i | 0.893591 | + | 0.893591i | ||||
\(582\) | 26.9706 | 1.11797 | ||||||||
\(583\) | 2.61313 | + | 2.61313i | 0.108225 | + | 0.108225i | ||||
\(584\) | 40.3721 | − | 40.3721i | 1.67061 | − | 1.67061i | ||||
\(585\) | 1.39942 | − | 1.39942i | 0.0578588 | − | 0.0578588i | ||||
\(586\) | − | 29.7990i | − | 1.23098i | ||||||
\(587\) | − | 45.3137i | − | 1.87030i | −0.354256 | − | 0.935148i | \(-0.615266\pi\) | ||
0.354256 | − | 0.935148i | \(-0.384734\pi\) | |||||||
\(588\) | −0.502734 | + | 0.502734i | −0.0207324 | + | 0.0207324i | ||||
\(589\) | 4.59220 | − | 4.59220i | 0.189218 | − | 0.189218i | ||||
\(590\) | −7.83938 | − | 7.83938i | −0.322742 | − | 0.322742i | ||||
\(591\) | −5.02944 | −0.206883 | ||||||||
\(592\) | −19.5984 | − | 19.5984i | −0.805491 | − | 0.805491i | ||||
\(593\) | − | 12.9289i | − | 0.530928i | −0.964121 | − | 0.265464i | \(-0.914475\pi\) | ||
0.964121 | − | 0.265464i | \(-0.0855251\pi\) | |||||||
\(594\) | −32.9706 | −1.35280 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −64.9706 | −2.66130 | ||||||||
\(597\) | 12.4853i | 0.510989i | ||||||||
\(598\) | 11.5349 | + | 11.5349i | 0.471697 | + | 0.471697i | ||||
\(599\) | 10.6274 | 0.434224 | 0.217112 | − | 0.976147i | \(-0.430336\pi\) | ||||
0.217112 | + | 0.976147i | \(0.430336\pi\) | |||||||
\(600\) | −14.9134 | − | 14.9134i | −0.608837 | − | 0.608837i | ||||
\(601\) | 5.95316 | − | 5.95316i | 0.242834 | − | 0.242834i | −0.575187 | − | 0.818022i | \(-0.695071\pi\) |
0.818022 | + | 0.575187i | \(0.195071\pi\) | |||||||
\(602\) | −3.69552 | + | 3.69552i | −0.150618 | + | 0.150618i | ||||
\(603\) | 2.14214i | 0.0872345i | ||||||||
\(604\) | 27.4558i | 1.11716i | ||||||||
\(605\) | 2.25764 | − | 2.25764i | 0.0917861 | − | 0.0917861i | ||||
\(606\) | −19.5600 | + | 19.5600i | −0.794570 | + | 0.794570i | ||||
\(607\) | −11.5893 | − | 11.5893i | −0.470395 | − | 0.470395i | 0.431648 | − | 0.902042i | \(-0.357932\pi\) |
−0.902042 | + | 0.431648i | \(0.857932\pi\) | |||||||
\(608\) | −1.31371 | −0.0532779 | ||||||||
\(609\) | 0.634051 | + | 0.634051i | 0.0256930 | + | 0.0256930i | ||||
\(610\) | 7.07107i | 0.286299i | ||||||||
\(611\) | 7.31371 | 0.295881 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.31371 | 0.214619 | 0.107309 | − | 0.994226i | \(-0.465776\pi\) | ||||
0.107309 | + | 0.994226i | \(0.465776\pi\) | |||||||
\(614\) | 63.1127i | 2.54702i | ||||||||
\(615\) | 0.710974 | + | 0.710974i | 0.0286692 | + | 0.0286692i | ||||
\(616\) | 30.1421 | 1.21446 | ||||||||
\(617\) | −2.07193 | − | 2.07193i | −0.0834128 | − | 0.0834128i | 0.664169 | − | 0.747582i | \(-0.268785\pi\) |
−0.747582 | + | 0.664169i | \(0.768785\pi\) | |||||||
\(618\) | −23.0698 | + | 23.0698i | −0.928003 | + | 0.928003i | ||||
\(619\) | 20.1396 | − | 20.1396i | 0.809480 | − | 0.809480i | −0.175075 | − | 0.984555i | \(-0.556017\pi\) |
0.984555 | + | 0.175075i | \(0.0560167\pi\) | |||||||
\(620\) | − | 22.9706i | − | 0.922520i | ||||||
\(621\) | 24.9706i | 1.00203i | ||||||||
\(622\) | 43.8435 | − | 43.8435i | 1.75796 | − | 1.75796i | ||||
\(623\) | 12.1689 | − | 12.1689i | 0.487539 | − | 0.487539i | ||||
\(624\) | 3.24718 | + | 3.24718i | 0.129991 | + | 0.129991i | ||||
\(625\) | −16.5563 | −0.662254 | ||||||||
\(626\) | 16.8540 | + | 16.8540i | 0.673621 | + | 0.673621i | ||||
\(627\) | 2.34315i | 0.0935762i | ||||||||
\(628\) | −36.9706 | −1.47529 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −8.82843 | −0.351733 | ||||||||
\(631\) | − | 29.3137i | − | 1.16696i | −0.812127 | − | 0.583480i | \(-0.801691\pi\) | ||
0.812127 | − | 0.583480i | \(-0.198309\pi\) | |||||||
\(632\) | 14.9134 | + | 14.9134i | 0.593223 | + | 0.593223i | ||||
\(633\) | 23.1127 | 0.918647 | ||||||||
\(634\) | −32.8498 | − | 32.8498i | −1.30463 | − | 1.30463i | ||||
\(635\) | −2.87576 | + | 2.87576i | −0.114121 | + | 0.114121i | ||||
\(636\) | 4.14386 | − | 4.14386i | 0.164315 | − | 0.164315i | ||||
\(637\) | − | 0.242641i | − | 0.00961377i | ||||||
\(638\) | 2.00000i | 0.0791808i | ||||||||
\(639\) | 6.99709 | − | 6.99709i | 0.276801 | − | 0.276801i | ||||
\(640\) | −11.1250 | + | 11.1250i | −0.439755 | + | 0.439755i | ||||
\(641\) | 29.2856 | + | 29.2856i | 1.15671 | + | 1.15671i | 0.985178 | + | 0.171532i | \(0.0548718\pi\) |
0.171532 | + | 0.985178i | \(0.445128\pi\) | |||||||
\(642\) | −1.17157 | −0.0462383 | ||||||||
\(643\) | 20.4023 | + | 20.4023i | 0.804587 | + | 0.804587i | 0.983809 | − | 0.179222i | \(-0.0573579\pi\) |
−0.179222 | + | 0.983809i | \(0.557358\pi\) | |||||||
\(644\) | − | 47.7990i | − | 1.88354i | ||||||
\(645\) | −0.686292 | −0.0270227 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.82843 | −0.111197 | −0.0555985 | − | 0.998453i | \(-0.517707\pi\) | ||||
−0.0555985 | + | 0.998453i | \(0.517707\pi\) | |||||||
\(648\) | 0.757359i | 0.0297519i | ||||||||
\(649\) | −11.0866 | − | 11.0866i | −0.435185 | − | 0.435185i | ||||
\(650\) | 15.0711 | 0.591136 | ||||||||
\(651\) | −15.6788 | − | 15.6788i | −0.614499 | − | 0.614499i | ||||
\(652\) | −22.9385 | + | 22.9385i | −0.898340 | + | 0.898340i | ||||
\(653\) | 6.71852 | − | 6.71852i | 0.262916 | − | 0.262916i | −0.563322 | − | 0.826238i | \(-0.690477\pi\) |
0.826238 | + | 0.563322i | \(0.190477\pi\) | |||||||
\(654\) | 40.6274i | 1.58866i | ||||||||
\(655\) | − | 11.6569i | − | 0.455471i | ||||||
\(656\) | 2.57466 | − | 2.57466i | 0.100524 | − | 0.100524i | ||||
\(657\) | −16.7227 | + | 16.7227i | −0.652414 | + | 0.652414i | ||||
\(658\) | −23.0698 | − | 23.0698i | −0.899354 | − | 0.899354i | ||||
\(659\) | 8.48528 | 0.330540 | 0.165270 | − | 0.986248i | \(-0.447151\pi\) | ||||
0.165270 | + | 0.986248i | \(0.447151\pi\) | |||||||
\(660\) | 5.86030 | + | 5.86030i | 0.228112 | + | 0.228112i | ||||
\(661\) | − | 1.21320i | − | 0.0471881i | −0.999722 | − | 0.0235941i | \(-0.992489\pi\) | ||
0.999722 | − | 0.0235941i | \(-0.00751092\pi\) | |||||||
\(662\) | −52.6274 | −2.04542 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 51.4558 | 1.99687 | ||||||||
\(665\) | 1.65685i | 0.0642501i | ||||||||
\(666\) | 28.8372 | + | 28.8372i | 1.11742 | + | 1.11742i | ||||
\(667\) | 1.51472 | 0.0586501 | ||||||||
\(668\) | −5.35757 | − | 5.35757i | −0.207291 | − | 0.207291i | ||||
\(669\) | 3.69552 | − | 3.69552i | 0.142877 | − | 0.142877i | ||||
\(670\) | 1.53073 | − | 1.53073i | 0.0591374 | − | 0.0591374i | ||||
\(671\) | 10.0000i | 0.386046i | ||||||||
\(672\) | 4.48528i | 0.173023i | ||||||||
\(673\) | −3.15432 | + | 3.15432i | −0.121590 | + | 0.121590i | −0.765284 | − | 0.643693i | \(-0.777401\pi\) |
0.643693 | + | 0.765284i | \(0.277401\pi\) | |||||||
\(674\) | −9.59428 | + | 9.59428i | −0.369558 | + | 0.369558i | ||||
\(675\) | 16.3128 | + | 16.3128i | 0.627880 | + | 0.627880i | ||||
\(676\) | 42.1127 | 1.61972 | ||||||||
\(677\) | −26.9351 | − | 26.9351i | −1.03520 | − | 1.03520i | −0.999357 | − | 0.0358421i | \(-0.988589\pi\) |
−0.0358421 | − | 0.999357i | \(-0.511411\pi\) | |||||||
\(678\) | 34.4853i | 1.32440i | ||||||||
\(679\) | 26.9706 | 1.03504 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 18.8284 | 0.721507 | ||||||||
\(682\) | − | 49.4558i | − | 1.89376i | ||||||
\(683\) | 16.8155 | + | 16.8155i | 0.643429 | + | 0.643429i | 0.951397 | − | 0.307968i | \(-0.0996490\pi\) |
−0.307968 | + | 0.951397i | \(0.599649\pi\) | |||||||
\(684\) | −5.79899 | −0.221730 | ||||||||
\(685\) | 9.05309 | + | 9.05309i | 0.345901 | + | 0.345901i | ||||
\(686\) | −31.9916 | + | 31.9916i | −1.22144 | + | 1.22144i | ||||
\(687\) | −13.1426 | + | 13.1426i | −0.501420 | + | 0.501420i | ||||
\(688\) | 2.48528i | 0.0947505i | ||||||||
\(689\) | 2.00000i | 0.0761939i | ||||||||
\(690\) | 6.75699 | − | 6.75699i | 0.257234 | − | 0.257234i | ||||
\(691\) | −14.0936 | + | 14.0936i | −0.536147 | + | 0.536147i | −0.922395 | − | 0.386248i | \(-0.873771\pi\) |
0.386248 | + | 0.922395i | \(0.373771\pi\) | |||||||
\(692\) | 7.93223 | + | 7.93223i | 0.301538 | + | 0.301538i | ||||
\(693\) | −12.4853 | −0.474277 | ||||||||
\(694\) | −28.6131 | − | 28.6131i | −1.08614 | − | 1.08614i | ||||
\(695\) | − | 16.3431i | − | 0.619931i | ||||||
\(696\) | 1.51472 | 0.0574153 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −10.2426 | −0.387690 | ||||||||
\(699\) | 9.51472i | 0.359880i | ||||||||
\(700\) | −31.2262 | − | 31.2262i | −1.18024 | − | 1.18024i | ||||
\(701\) | −37.6985 | −1.42385 | −0.711926 | − | 0.702254i | \(-0.752177\pi\) | ||||
−0.711926 | + | 0.702254i | \(0.752177\pi\) | |||||||
\(702\) | −12.6173 | − | 12.6173i | −0.476209 | − | 0.476209i | ||||
\(703\) | 5.41196 | − | 5.41196i | 0.204116 | − | 0.204116i | ||||
\(704\) | −18.1606 | + | 18.1606i | −0.684452 | + | 0.684452i | ||||
\(705\) | − | 4.28427i | − | 0.161355i | ||||||
\(706\) | − | 33.7990i | − | 1.27204i | ||||||
\(707\) | −19.5600 | + | 19.5600i | −0.735629 | + | 0.735629i | ||||
\(708\) | −17.5809 | + | 17.5809i | −0.660731 | + | 0.660731i | ||||
\(709\) | −17.1710 | − | 17.1710i | −0.644871 | − | 0.644871i | 0.306878 | − | 0.951749i | \(-0.400716\pi\) |
−0.951749 | + | 0.306878i | \(0.900716\pi\) | |||||||
\(710\) | −10.0000 | −0.375293 | ||||||||
\(711\) | −6.17733 | − | 6.17733i | −0.231668 | − | 0.231668i | ||||
\(712\) | − | 29.0711i | − | 1.08948i | ||||||
\(713\) | −37.4558 | −1.40273 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.82843 | −0.105777 | ||||||||
\(716\) | − | 22.9706i | − | 0.858450i | ||||||
\(717\) | −11.3492 | − | 11.3492i | −0.423843 | − | 0.423843i | ||||
\(718\) | −69.5980 | −2.59737 | ||||||||
\(719\) | −24.0209 | − | 24.0209i | −0.895827 | − | 0.895827i | 0.0992367 | − | 0.995064i | \(-0.468360\pi\) |
−0.995064 | + | 0.0992367i | \(0.968360\pi\) | |||||||
\(720\) | −2.96861 | + | 2.96861i | −0.110634 | + | 0.110634i | ||||
\(721\) | −23.0698 | + | 23.0698i | −0.859164 | + | 0.859164i | ||||
\(722\) | − | 44.2132i | − | 1.64545i | ||||||
\(723\) | − | 3.85786i | − | 0.143476i | ||||||
\(724\) | 31.5817 | − | 31.5817i | 1.17372 | − | 1.17372i | ||||
\(725\) | 0.989538 | − | 0.989538i | 0.0367505 | − | 0.0367505i | ||||
\(726\) | −7.70806 | − | 7.70806i | −0.286073 | − | 0.286073i | ||||
\(727\) | 43.1127 | 1.59896 | 0.799481 | − | 0.600692i | \(-0.205108\pi\) | ||||
0.799481 | + | 0.600692i | \(0.205108\pi\) | |||||||
\(728\) | 11.5349 | + | 11.5349i | 0.427512 | + | 0.427512i | ||||
\(729\) | − | 17.2843i | − | 0.640158i | ||||||
\(730\) | 23.8995 | 0.884560 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 15.8579 | 0.586124 | ||||||||
\(733\) | − | 36.0416i | − | 1.33123i | −0.746296 | − | 0.665614i | \(-0.768170\pi\) | ||
0.746296 | − | 0.665614i | \(-0.231830\pi\) | |||||||
\(734\) | −7.52235 | − | 7.52235i | −0.277655 | − | 0.277655i | ||||
\(735\) | −0.142136 | −0.00524275 | ||||||||
\(736\) | 5.35757 | + | 5.35757i | 0.197483 | + | 0.197483i | ||||
\(737\) | 2.16478 | − | 2.16478i | 0.0797409 | − | 0.0797409i | ||||
\(738\) | −3.78837 | + | 3.78837i | −0.139452 | + | 0.139452i | ||||
\(739\) | 22.2843i | 0.819740i | 0.912144 | + | 0.409870i | \(0.134426\pi\) | ||||
−0.912144 | + | 0.409870i | \(0.865574\pi\) | |||||||
\(740\) | − | 27.0711i | − | 0.995152i | ||||||
\(741\) | −0.896683 | + | 0.896683i | −0.0329405 | + | 0.0329405i | ||||
\(742\) | 6.30864 | − | 6.30864i | 0.231598 | − | 0.231598i | ||||
\(743\) | −36.0810 | − | 36.0810i | −1.32368 | − | 1.32368i | −0.910770 | − | 0.412915i | \(-0.864511\pi\) |
−0.412915 | − | 0.910770i | \(-0.635489\pi\) | |||||||
\(744\) | −37.4558 | −1.37320 | ||||||||
\(745\) | −9.18440 | − | 9.18440i | −0.336490 | − | 0.336490i | ||||
\(746\) | 27.8995i | 1.02147i | ||||||||
\(747\) | −21.3137 | −0.779828 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.17157 | −0.0428083 | ||||||||
\(750\) | − | 18.8284i | − | 0.687517i | ||||||
\(751\) | −33.6536 | − | 33.6536i | −1.22804 | − | 1.22804i | −0.964705 | − | 0.263333i | \(-0.915178\pi\) |
−0.263333 | − | 0.964705i | \(-0.584822\pi\) | |||||||
\(752\) | −15.5147 | −0.565764 | ||||||||
\(753\) | 15.6788 | + | 15.6788i | 0.571366 | + | 0.571366i | ||||
\(754\) | −0.765367 | + | 0.765367i | −0.0278730 | + | 0.0278730i | ||||
\(755\) | −3.88123 | + | 3.88123i | −0.141252 | + | 0.141252i | ||||
\(756\) | 52.2843i | 1.90156i | ||||||||
\(757\) | 2.54416i | 0.0924689i | 0.998931 | + | 0.0462345i | \(0.0147221\pi\) | ||||
−0.998931 | + | 0.0462345i | \(0.985278\pi\) | |||||||
\(758\) | −4.46088 | + | 4.46088i | −0.162027 | + | 0.162027i | ||||
\(759\) | 9.55582 | − | 9.55582i | 0.346854 | − | 0.346854i | ||||
\(760\) | 1.97908 | + | 1.97908i | 0.0717886 | + | 0.0717886i | ||||
\(761\) | −37.6985 | −1.36657 | −0.683285 | − | 0.730152i | \(-0.739449\pi\) | ||||
−0.683285 | + | 0.730152i | \(0.739449\pi\) | |||||||
\(762\) | 9.81845 | + | 9.81845i | 0.355685 | + | 0.355685i | ||||
\(763\) | 40.6274i | 1.47081i | ||||||||
\(764\) | 76.5685 | 2.77015 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 54.2843 | 1.96137 | ||||||||
\(767\) | − | 8.48528i | − | 0.306386i | ||||||
\(768\) | 22.9385 | + | 22.9385i | 0.827721 | + | 0.827721i | ||||
\(769\) | −12.7279 | −0.458981 | −0.229490 | − | 0.973311i | \(-0.573706\pi\) | ||||
−0.229490 | + | 0.973311i | \(0.573706\pi\) | |||||||
\(770\) | 8.92177 | + | 8.92177i | 0.321518 | + | 0.321518i | ||||
\(771\) | −4.70099 | + | 4.70099i | −0.169302 | + | 0.169302i | ||||
\(772\) | 6.21579 | − | 6.21579i | 0.223711 | − | 0.223711i | ||||
\(773\) | − | 0.828427i | − | 0.0297965i | −0.999889 | − | 0.0148982i | \(-0.995258\pi\) | ||
0.999889 | − | 0.0148982i | \(-0.00474243\pi\) | |||||||
\(774\) | − | 3.65685i | − | 0.131443i | ||||||
\(775\) | −24.4692 | + | 24.4692i | −0.878960 | + | 0.878960i | ||||
\(776\) | 32.2157 | − | 32.2157i | 1.15648 | − | 1.15648i | ||||
\(777\) | −18.4776 | − | 18.4776i | −0.662880 | − | 0.662880i | ||||
\(778\) | 29.3137 | 1.05095 | ||||||||
\(779\) | 0.710974 | + | 0.710974i | 0.0254733 | + | 0.0254733i | ||||
\(780\) | 4.48528i | 0.160599i | ||||||||
\(781\) | −14.1421 | −0.506045 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.65685 | −0.0592111 | ||||||||
\(784\) | 0.514719i | 0.0183828i | ||||||||
\(785\) | −5.22625 | − | 5.22625i | −0.186533 | − | 0.186533i | ||||
\(786\) | −39.7990 | −1.41958 | ||||||||
\(787\) | −14.5420 | − | 14.5420i | −0.518365 | − | 0.518365i | 0.398711 | − | 0.917077i | \(-0.369458\pi\) |
−0.917077 | + | 0.398711i | \(0.869458\pi\) | |||||||
\(788\) | −12.5788 | + | 12.5788i | −0.448102 | + | 0.448102i | ||||
\(789\) | −8.02509 | + | 8.02509i | −0.285701 | + | 0.285701i | ||||
\(790\) | 8.82843i | 0.314101i | ||||||||
\(791\) | 34.4853i | 1.22616i | ||||||||
\(792\) | −14.9134 | + | 14.9134i | −0.529924 | + | 0.529924i | ||||
\(793\) | −3.82683 | + | 3.82683i | −0.135895 | + | 0.135895i | ||||
\(794\) | 30.3680 | + | 30.3680i | 1.07772 | + | 1.07772i | ||||
\(795\) | 1.17157 | 0.0415514 | ||||||||
\(796\) | 31.2262 | + | 31.2262i | 1.10678 | + | 1.10678i | ||||
\(797\) | 25.2132i | 0.893097i | 0.894759 | + | 0.446549i | \(0.147347\pi\) | ||||
−0.894759 | + | 0.446549i | \(0.852653\pi\) | |||||||
\(798\) | 5.65685 | 0.200250 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 7.00000 | 0.247487 | ||||||||
\(801\) | 12.0416i | 0.425470i | ||||||||
\(802\) | −0.989538 | − | 0.989538i | −0.0349418 | − | 0.0349418i | ||||
\(803\) | 33.7990 | 1.19274 | ||||||||
\(804\) | −3.43289 | − | 3.43289i | −0.121069 | − | 0.121069i | ||||
\(805\) | 6.75699 | − | 6.75699i | 0.238152 | − | 0.238152i | ||||
\(806\) | 18.9259 | − | 18.9259i | 0.666638 | − | 0.666638i | ||||
\(807\) | − | 28.6274i | − | 1.00773i | ||||||
\(808\) | 46.7279i | 1.64388i | ||||||||
\(809\) | 24.9560 | − | 24.9560i | 0.877407 | − | 0.877407i | −0.115859 | − | 0.993266i | \(-0.536962\pi\) |
0.993266 | + | 0.115859i | \(0.0369621\pi\) | |||||||
\(810\) | −0.224171 | + | 0.224171i | −0.00787656 | + | 0.00787656i | ||||
\(811\) | 38.9886 | + | 38.9886i | 1.36908 | + | 1.36908i | 0.861759 | + | 0.507317i | \(0.169363\pi\) |
0.507317 | + | 0.861759i | \(0.330637\pi\) | |||||||
\(812\) | 3.17157 | 0.111300 | ||||||||
\(813\) | 16.9469 | + | 16.9469i | 0.594352 | + | 0.594352i | ||||
\(814\) | − | 58.2843i | − | 2.04286i | ||||||
\(815\) | −6.48528 | −0.227169 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.686292 | −0.0240103 | ||||||||
\(818\) | 8.00000i | 0.279713i | ||||||||
\(819\) | −4.77791 | − | 4.77791i | −0.166954 | − | 0.166954i | ||||
\(820\) | 3.55635 | 0.124193 | ||||||||
\(821\) | 27.1752 | + | 27.1752i | 0.948421 | + | 0.948421i | 0.998734 | − | 0.0503128i | \(-0.0160218\pi\) |
−0.0503128 | + | 0.998734i | \(0.516022\pi\) | |||||||
\(822\) | 30.9092 | − | 30.9092i | 1.07808 | − | 1.07808i | ||||
\(823\) | 6.88830 | − | 6.88830i | 0.240111 | − | 0.240111i | −0.576785 | − | 0.816896i | \(-0.695693\pi\) |
0.816896 | + | 0.576785i | \(0.195693\pi\) | |||||||
\(824\) | 55.1127i | 1.91994i | ||||||||
\(825\) | − | 12.4853i | − | 0.434682i | ||||||
\(826\) | −26.7653 | + | 26.7653i | −0.931284 | + | 0.931284i | ||||
\(827\) | −33.1283 | + | 33.1283i | −1.15199 | + | 1.15199i | −0.165831 | + | 0.986154i | \(0.553031\pi\) |
−0.986154 | + | 0.165831i | \(0.946969\pi\) | |||||||
\(828\) | 23.6494 | + | 23.6494i | 0.821875 | + | 0.821875i | ||||
\(829\) | −53.9411 | −1.87345 | −0.936726 | − | 0.350062i | \(-0.886160\pi\) | ||||
−0.936726 | + | 0.350062i | \(0.886160\pi\) | |||||||
\(830\) | 15.2304 | + | 15.2304i | 0.528655 | + | 0.528655i | ||||
\(831\) | 21.5980i | 0.749226i | ||||||||
\(832\) | −13.8995 | −0.481878 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −55.7990 | −1.93216 | ||||||||
\(835\) | − | 1.51472i | − | 0.0524190i | ||||||
\(836\) | 5.86030 | + | 5.86030i | 0.202683 | + | 0.202683i | ||||
\(837\) | 40.9706 | 1.41615 | ||||||||
\(838\) | 22.7528 | + | 22.7528i | 0.785981 | + | 0.785981i | ||||
\(839\) | 11.8519 | − | 11.8519i | 0.409174 | − | 0.409174i | −0.472277 | − | 0.881450i | \(-0.656568\pi\) |
0.881450 | + | 0.472277i | \(0.156568\pi\) | |||||||
\(840\) | 6.75699 | − | 6.75699i | 0.233138 | − | 0.233138i | ||||
\(841\) | − | 28.8995i | − | 0.996534i | ||||||
\(842\) | 35.2132i | 1.21353i | ||||||||
\(843\) | 1.45381 | − | 1.45381i | 0.0500719 | − | 0.0500719i | ||||
\(844\) | 57.8058 | − | 57.8058i | 1.98976 | − | 1.98976i | ||||
\(845\) | 5.95316 | + | 5.95316i | 0.204795 | + | 0.204795i | ||||
\(846\) | 22.8284 | 0.784857 | ||||||||
\(847\) | −7.70806 | − | 7.70806i | −0.264852 | − | 0.264852i | ||||
\(848\) | − | 4.24264i | − | 0.145693i | ||||||
\(849\) | 20.2010 | 0.693297 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −44.1421 | −1.51317 | ||||||||
\(852\) | 22.4264i | 0.768316i | ||||||||
\(853\) | 13.5524 | + | 13.5524i | 0.464026 | + | 0.464026i | 0.899973 | − | 0.435946i | \(-0.143586\pi\) |
−0.435946 | + | 0.899973i | \(0.643586\pi\) | |||||||
\(854\) | 24.1421 | 0.826127 | ||||||||
\(855\) | −0.819760 | − | 0.819760i | −0.0280352 | − | 0.0280352i | ||||
\(856\) | −1.39942 | + | 1.39942i | −0.0478311 | + | 0.0478311i | ||||
\(857\) | −6.53281 | + | 6.53281i | −0.223157 | + | 0.223157i | −0.809826 | − | 0.586670i | \(-0.800439\pi\) |
0.586670 | + | 0.809826i | \(0.300439\pi\) | |||||||
\(858\) | 9.65685i | 0.329680i | ||||||||
\(859\) | − | 34.9706i | − | 1.19318i | −0.802546 | − | 0.596590i | \(-0.796522\pi\) | ||
0.802546 | − | 0.596590i | \(-0.203478\pi\) | |||||||
\(860\) | −1.71644 | + | 1.71644i | −0.0585302 | + | 0.0585302i | ||||
\(861\) | 2.42742 | − | 2.42742i | 0.0827261 | − | 0.0827261i | ||||
\(862\) | 12.4860 | + | 12.4860i | 0.425274 | + | 0.425274i | ||||
\(863\) | 10.6274 | 0.361761 | 0.180881 | − | 0.983505i | \(-0.442105\pi\) | ||||
0.180881 | + | 0.983505i | \(0.442105\pi\) | |||||||
\(864\) | −5.86030 | − | 5.86030i | −0.199372 | − | 0.199372i | ||||
\(865\) | 2.24264i | 0.0762521i | ||||||||
\(866\) | 50.2843 | 1.70873 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −78.4264 | −2.66197 | ||||||||
\(869\) | 12.4853i | 0.423534i | ||||||||
\(870\) | 0.448342 | + | 0.448342i | 0.0152002 | + | 0.0152002i | ||||
\(871\) | 1.65685 | 0.0561404 | ||||||||
\(872\) | 48.5285 | + | 48.5285i | 1.64338 | + | 1.64338i | ||||
\(873\) | −13.3442 | + | 13.3442i | −0.451633 | + | 0.451633i | ||||
\(874\) | 6.75699 | − | 6.75699i | 0.228558 | − | 0.228558i | ||||
\(875\) | − | 18.8284i | − | 0.636517i | ||||||
\(876\) | − | 53.5980i | − | 1.81091i | ||||||
\(877\) | −35.5173 | + | 35.5173i | −1.19933 | + | 1.19933i | −0.224968 | + | 0.974366i | \(0.572228\pi\) |
−0.974366 | + | 0.224968i | \(0.927772\pi\) | |||||||
\(878\) | −18.1606 | + | 18.1606i | −0.612889 | + | 0.612889i | ||||
\(879\) | −9.44703 | − | 9.44703i | −0.318641 | − | 0.318641i | ||||
\(880\) | 6.00000 | 0.202260 | ||||||||
\(881\) | 23.7967 | + | 23.7967i | 0.801731 | + | 0.801731i | 0.983366 | − | 0.181635i | \(-0.0581389\pi\) |
−0.181635 | + | 0.983366i | \(0.558139\pi\) | |||||||
\(882\) | − | 0.757359i | − | 0.0255016i | ||||||
\(883\) | −8.00000 | −0.269221 | −0.134611 | − | 0.990899i | \(-0.542978\pi\) | ||||
−0.134611 | + | 0.990899i | \(0.542978\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4.97056 | −0.167084 | ||||||||
\(886\) | 57.4558i | 1.93027i | ||||||||
\(887\) | −31.1493 | − | 31.1493i | −1.04589 | − | 1.04589i | −0.998895 | − | 0.0469951i | \(-0.985035\pi\) |
−0.0469951 | − | 0.998895i | \(-0.514965\pi\) | |||||||
\(888\) | −44.1421 | −1.48131 | ||||||||
\(889\) | 9.81845 | + | 9.81845i | 0.329300 | + | 0.329300i | ||||
\(890\) | 8.60474 | − | 8.60474i | 0.288432 | − | 0.288432i | ||||
\(891\) | −0.317025 | + | 0.317025i | −0.0106207 | + | 0.0106207i | ||||
\(892\) | − | 18.4853i | − | 0.618933i | ||||||
\(893\) | − | 4.28427i | − | 0.143368i | ||||||
\(894\) | −31.3575 | + | 31.3575i | −1.04875 | + | 1.04875i | ||||
\(895\) | 3.24718 | − | 3.24718i | 0.108541 | − | 0.108541i | ||||
\(896\) | 37.9832 | + | 37.9832i | 1.26893 | + | 1.26893i | ||||
\(897\) | 7.31371 | 0.244198 | ||||||||
\(898\) | −20.6808 | − | 20.6808i | −0.690128 | − | 0.690128i | ||||
\(899\) | − | 2.48528i | − | 0.0828888i | ||||||
\(900\) | 30.8995 | 1.02998 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 7.65685 | 0.254945 | ||||||||
\(903\) | 2.34315i | 0.0779750i | ||||||||
\(904\) | 41.1919 | + | 41.1919i | 1.37002 | + | 1.37002i | ||||
\(905\) | 8.92893 | 0.296808 | ||||||||
\(906\) | 13.2513 | + | 13.2513i | 0.440246 | + | 0.440246i | ||||
\(907\) | −9.50143 | + | 9.50143i | −0.315490 | + | 0.315490i | −0.847032 | − | 0.531542i | \(-0.821613\pi\) |
0.531542 | + | 0.847032i | \(0.321613\pi\) | |||||||
\(908\) | 47.0907 | − | 47.0907i | 1.56276 | − | 1.56276i | ||||
\(909\) | − | 19.3553i | − | 0.641976i | ||||||
\(910\) | 6.82843i | 0.226360i | ||||||||
\(911\) | −4.01254 | + | 4.01254i | −0.132941 | + | 0.132941i | −0.770446 | − | 0.637505i | \(-0.779967\pi\) |
0.637505 | + | 0.770446i | \(0.279967\pi\) | |||||||
\(912\) | 1.90215 | − | 1.90215i | 0.0629865 | − | 0.0629865i | ||||
\(913\) | 21.5391 | + | 21.5391i | 0.712839 | + | 0.712839i | ||||
\(914\) | −31.7990 | −1.05182 | ||||||||
\(915\) | 2.24171 | + | 2.24171i | 0.0741086 | + | 0.0741086i | ||||
\(916\) | 65.7401i | 2.17211i | ||||||||
\(917\) | −39.7990 | −1.31428 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 19.3137 | 0.637100 | 0.318550 | − | 0.947906i | \(-0.396804\pi\) | ||||
0.318550 | + | 0.947906i | \(0.396804\pi\) | |||||||
\(920\) | − | 16.1421i | − | 0.532190i | ||||||
\(921\) | 20.0083 | + | 20.0083i | 0.659297 | + | 0.659297i | ||||
\(922\) | 58.0416 | 1.91150 | ||||||||
\(923\) | −5.41196 | − | 5.41196i | −0.178137 | − | 0.178137i | ||||
\(924\) | 20.0083 | − | 20.0083i | 0.658226 | − | 0.658226i | ||||
\(925\) | −28.8372 | + | 28.8372i | −0.948163 | + | 0.948163i | ||||
\(926\) | 35.3137i | 1.16048i | ||||||||
\(927\) | − | 22.8284i | − | 0.749784i | ||||||
\(928\) | −0.355487 | + | 0.355487i | −0.0116694 | + | 0.0116694i | ||||
\(929\) | 12.2618 | − | 12.2618i | 0.402297 | − | 0.402297i | −0.476745 | − | 0.879042i | \(-0.658183\pi\) |
0.879042 | + | 0.476745i | \(0.158183\pi\) | |||||||
\(930\) | −11.0866 | − | 11.0866i | −0.363542 | − | 0.363542i | ||||
\(931\) | −0.142136 | −0.00465831 | ||||||||
\(932\) | 23.7967 | + | 23.7967i | 0.779487 | + | 0.779487i | ||||
\(933\) | − | 27.7990i | − | 0.910098i | ||||||
\(934\) | 78.7696 | 2.57742 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −11.4142 | −0.373085 | ||||||||
\(937\) | 27.5563i | 0.900227i | 0.892971 | + | 0.450113i | \(0.148616\pi\) | ||||
−0.892971 | + | 0.450113i | \(0.851384\pi\) | |||||||
\(938\) | −5.22625 | − | 5.22625i | −0.170643 | − | 0.170643i | ||||
\(939\) | 10.6863 | 0.348734 | ||||||||
\(940\) | −10.7151 | − | 10.7151i | −0.349489 | − | 0.349489i | ||||
\(941\) | 28.2032 | − | 28.2032i | 0.919398 | − | 0.919398i | −0.0775878 | − | 0.996986i | \(-0.524722\pi\) |
0.996986 | + | 0.0775878i | \(0.0247218\pi\) | |||||||
\(942\) | −17.8435 | + | 17.8435i | −0.581374 | + | 0.581374i | ||||
\(943\) | − | 5.79899i | − | 0.188841i | ||||||
\(944\) | 18.0000i | 0.585850i | ||||||||
\(945\) | −7.39104 | + | 7.39104i | −0.240430 | + | 0.240430i | ||||
\(946\) | −3.69552 | + | 3.69552i | −0.120152 | + | 0.120152i | ||||
\(947\) | −21.6704 | − | 21.6704i | −0.704193 | − | 0.704193i | 0.261115 | − | 0.965308i | \(-0.415910\pi\) |
−0.965308 | + | 0.261115i | \(0.915910\pi\) | |||||||
\(948\) | 19.7990 | 0.643041 | ||||||||
\(949\) | 12.9343 | + | 12.9343i | 0.419866 | + | 0.419866i | ||||
\(950\) | − | 8.82843i | − | 0.286432i | ||||||
\(951\) | −20.8284 | −0.675408 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 49.6985 | 1.60989 | 0.804946 | − | 0.593348i | \(-0.202194\pi\) | ||||
0.804946 | + | 0.593348i | \(0.202194\pi\) | |||||||
\(954\) | 6.24264i | 0.202113i | ||||||||
\(955\) | 10.8239 | + | 10.8239i | 0.350254 | + | 0.350254i | ||||
\(956\) | −56.7696 | −1.83606 | ||||||||
\(957\) | 0.634051 | + | 0.634051i | 0.0204959 | + | 0.0204959i | ||||
\(958\) | −8.79045 | + | 8.79045i | −0.284007 | + | 0.284007i | ||||
\(959\) | 30.9092 | − | 30.9092i | 0.998109 | − | 0.998109i | ||||
\(960\) | 8.14214i | 0.262786i | ||||||||
\(961\) | 30.4558i | 0.982447i | ||||||||
\(962\) | 22.3044 | − | 22.3044i | 0.719124 | − | 0.719124i | ||||
\(963\) | 0.579658 | − | 0.579658i | 0.0186792 | − | 0.0186792i | ||||
\(964\) | −9.64868 | − | 9.64868i | −0.310763 | − | 0.310763i | ||||
\(965\) | 1.75736 | 0.0565714 | ||||||||
\(966\) | −23.0698 | − | 23.0698i | −0.742258 | − | 0.742258i | ||||
\(967\) | 43.6569i | 1.40391i | 0.712221 | + | 0.701955i | \(0.247689\pi\) | ||||
−0.712221 | + | 0.701955i | \(0.752311\pi\) | |||||||
\(968\) | −18.4142 | −0.591855 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 19.0711 | 0.612335 | ||||||||
\(971\) | − | 51.7401i | − | 1.66042i | −0.557451 | − | 0.830210i | \(-0.688221\pi\) | ||
0.557451 | − | 0.830210i | \(-0.311779\pi\) | |||||||
\(972\) | −41.9413 | − | 41.9413i | −1.34527 | − | 1.34527i | ||||
\(973\) | −55.7990 | −1.78883 | ||||||||
\(974\) | −44.9259 | − | 44.9259i | −1.43952 | − | 1.43952i | ||||
\(975\) | 4.77791 | − | 4.77791i | 0.153016 | − | 0.153016i | ||||
\(976\) | 8.11794 | − | 8.11794i | 0.259849 | − | 0.259849i | ||||
\(977\) | − | 38.3848i | − | 1.22804i | −0.789291 | − | 0.614019i | \(-0.789552\pi\) | ||
0.789291 | − | 0.614019i | \(-0.210448\pi\) | |||||||
\(978\) | 22.1421i | 0.708027i | ||||||||
\(979\) | 12.1689 | − | 12.1689i | 0.388921 | − | 0.388921i | ||||
\(980\) | −0.355487 | + | 0.355487i | −0.0113556 | + | 0.0113556i | ||||
\(981\) | −20.1012 | − | 20.1012i | −0.641781 | − | 0.641781i | ||||
\(982\) | −89.5980 | −2.85919 | ||||||||
\(983\) | 6.88830 | + | 6.88830i | 0.219703 | + | 0.219703i | 0.808373 | − | 0.588670i | \(-0.200348\pi\) |
−0.588670 | + | 0.808373i | \(0.700348\pi\) | |||||||
\(984\) | − | 5.79899i | − | 0.184865i | ||||||
\(985\) | −3.55635 | −0.113315 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −14.6274 | −0.465596 | ||||||||
\(988\) | 4.48528i | 0.142696i | ||||||||
\(989\) | 2.79884 | + | 2.79884i | 0.0889978 | + | 0.0889978i | ||||
\(990\) | −8.82843 | −0.280586 | ||||||||
\(991\) | 28.8757 | + | 28.8757i | 0.917267 | + | 0.917267i | 0.996830 | − | 0.0795630i | \(-0.0253525\pi\) |
−0.0795630 | + | 0.996830i | \(0.525352\pi\) | |||||||
\(992\) | 8.79045 | − | 8.79045i | 0.279097 | − | 0.279097i | ||||
\(993\) | −16.6842 | + | 16.6842i | −0.529458 | + | 0.529458i | ||||
\(994\) | 34.1421i | 1.08292i | ||||||||
\(995\) | 8.82843i | 0.279880i | ||||||||
\(996\) | 34.1563 | − | 34.1563i | 1.08229 | − | 1.08229i | ||||
\(997\) | −5.31911 | + | 5.31911i | −0.168458 | + | 0.168458i | −0.786301 | − | 0.617843i | \(-0.788007\pi\) |
0.617843 | + | 0.786301i | \(0.288007\pi\) | |||||||
\(998\) | −36.6382 | − | 36.6382i | −1.15976 | − | 1.15976i | ||||
\(999\) | 48.2843 | 1.52765 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))