Newspace parameters
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.be (of order \(18\), degree \(6\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 239.4 | ||
Character | \(\chi\) | \(=\) | 432.239 |
Dual form | 432.2.be.b.47.4 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.721706 | − | 1.57453i | 0.416677 | − | 0.909055i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.976679 | + | 0.172215i | 0.436784 | + | 0.0770169i | 0.387717 | − | 0.921779i | \(-0.373264\pi\) |
0.0490676 | + | 0.998795i | \(0.484375\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.12803 | + | 3.72784i | 1.18229 | + | 1.40899i | 0.891990 | + | 0.452055i | \(0.149309\pi\) |
0.290295 | + | 0.956937i | \(0.406247\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.95828 | − | 2.27269i | −0.652761 | − | 0.757564i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.961816 | + | 5.45473i | 0.289998 | + | 1.64466i | 0.686864 | + | 0.726786i | \(0.258987\pi\) |
−0.396866 | + | 0.917877i | \(0.629902\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.65607 | − | 0.966729i | 0.736661 | − | 0.268123i | 0.0536791 | − | 0.998558i | \(-0.482905\pi\) |
0.682981 | + | 0.730436i | \(0.260683\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.976032 | − | 1.41352i | 0.252010 | − | 0.364970i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.517267 | − | 0.298644i | −0.125456 | − | 0.0724319i | 0.435959 | − | 0.899967i | \(-0.356409\pi\) |
−0.561415 | + | 0.827535i | \(0.689743\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.141252 | − | 0.0815519i | 0.0324055 | − | 0.0187093i | −0.483710 | − | 0.875228i | \(-0.660711\pi\) |
0.516115 | + | 0.856519i | \(0.327378\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 8.12712 | − | 2.23477i | 1.77348 | − | 0.487667i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.35924 | − | 4.49693i | −1.11748 | − | 0.937675i | −0.119004 | − | 0.992894i | \(-0.537970\pi\) |
−0.998474 | + | 0.0552184i | \(0.982415\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.77422 | − | 1.37370i | −0.754844 | − | 0.274741i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.99172 | + | 1.44316i | −0.960658 | + | 0.277736i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.610528 | − | 1.67741i | 0.113372 | − | 0.311488i | −0.870010 | − | 0.493034i | \(-0.835888\pi\) |
0.983382 | + | 0.181546i | \(0.0581101\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.26328 | − | 3.88903i | 0.586102 | − | 0.698490i | −0.388750 | − | 0.921343i | \(-0.627093\pi\) |
0.974852 | + | 0.222854i | \(0.0715373\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 9.28277 | + | 2.42230i | 1.61592 | + | 0.421668i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.41309 | + | 4.17960i | 0.407887 | + | 0.706482i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.726277 | − | 1.25795i | 0.119399 | − | 0.206806i | −0.800131 | − | 0.599826i | \(-0.795236\pi\) |
0.919530 | + | 0.393020i | \(0.128570\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.394755 | − | 4.87975i | 0.0632114 | − | 0.781385i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.84382 | − | 10.5608i | −0.600304 | − | 1.64932i | −0.750658 | − | 0.660691i | \(-0.770264\pi\) |
0.150354 | − | 0.988632i | \(-0.451959\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.11082 | − | 1.07750i | 0.931892 | − | 0.164318i | 0.312964 | − | 0.949765i | \(-0.398678\pi\) |
0.618928 | + | 0.785447i | \(0.287567\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.52122 | − | 2.55694i | −0.226770 | − | 0.381166i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.37666 | + | 5.35065i | −0.930131 | + | 0.780473i | −0.975841 | − | 0.218482i | \(-0.929890\pi\) |
0.0457098 | + | 0.998955i | \(0.485445\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.89670 | + | 16.4280i | −0.413814 | + | 2.34685i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.843539 | + | 0.598919i | −0.118119 | + | 0.0838654i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 8.40465i | − | 1.15447i | −0.816579 | − | 0.577234i | \(-0.804132\pi\) | ||
0.816579 | − | 0.577234i | \(-0.195868\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.49316i | 0.740697i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.0264635 | − | 0.281262i | −0.00350517 | − | 0.0372541i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.35597 | + | 7.69008i | −0.176532 | + | 1.00116i | 0.759828 | + | 0.650124i | \(0.225283\pi\) |
−0.936361 | + | 0.351040i | \(0.885828\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.16592 | + | 2.65652i | −0.405354 | + | 0.340133i | −0.822559 | − | 0.568680i | \(-0.807454\pi\) |
0.417204 | + | 0.908813i | \(0.363010\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.34667 | − | 14.4092i | 0.295653 | − | 1.81539i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.76061 | − | 0.486770i | 0.342412 | − | 0.0603764i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.02334 | + | 5.55908i | 0.247190 | + | 0.679150i | 0.999786 | + | 0.0206675i | \(0.00657914\pi\) |
−0.752596 | + | 0.658483i | \(0.771199\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −10.9483 | + | 5.19281i | −1.31803 | + | 0.625141i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.86491 | − | 3.23013i | 0.221325 | − | 0.383345i | −0.733886 | − | 0.679273i | \(-0.762295\pi\) |
0.955210 | + | 0.295927i | \(0.0956287\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.05997 | + | 5.30003i | 0.358143 | + | 0.620321i | 0.987651 | − | 0.156673i | \(-0.0500768\pi\) |
−0.629508 | + | 0.776994i | \(0.716743\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.88681 | + | 4.95121i | −0.564280 | + | 0.571716i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −17.3258 | + | 20.6481i | −1.97446 | + | 2.35306i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.05391 | − | 11.1380i | 0.456100 | − | 1.25312i | −0.472266 | − | 0.881456i | \(-0.656564\pi\) |
0.928366 | − | 0.371668i | \(-0.121214\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.33026 | + | 8.90115i | −0.147807 | + | 0.989016i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −9.04948 | − | 3.29374i | −0.993309 | − | 0.361535i | −0.206308 | − | 0.978487i | \(-0.566145\pi\) |
−0.787001 | + | 0.616952i | \(0.788367\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.453773 | − | 0.380761i | −0.0492186 | − | 0.0412993i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.20051 | − | 2.17189i | −0.235920 | − | 0.232851i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.45033 | + | 0.837348i | −0.153735 | + | 0.0887587i | −0.574894 | − | 0.818228i | \(-0.694957\pi\) |
0.421159 | + | 0.906987i | \(0.361623\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.9121 | + | 6.87744i | 1.24873 | + | 0.720952i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.76826 | − | 7.94486i | −0.390750 | − | 0.823844i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.152002 | − | 0.0553244i | 0.0155951 | − | 0.00567616i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.34010 | − | 13.2714i | −0.237601 | − | 1.34750i | −0.837066 | − | 0.547102i | \(-0.815731\pi\) |
0.599465 | − | 0.800401i | \(-0.295380\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.5134 | − | 12.8678i | 1.05664 | − | 1.29326i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.98820 | + | 10.7117i | 0.894360 | + | 1.06586i | 0.997463 | + | 0.0711857i | \(0.0226783\pi\) |
−0.103103 | + | 0.994671i | \(0.532877\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.43335 | − | 0.958047i | −0.535364 | − | 0.0943991i | −0.100572 | − | 0.994930i | \(-0.532067\pi\) |
−0.434792 | + | 0.900531i | \(0.643178\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.32245 | − | 0.783045i | 0.812188 | − | 0.0764173i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −11.3996 | −1.10204 | −0.551021 | − | 0.834491i | \(-0.685762\pi\) | ||||
−0.551021 | + | 0.834491i | \(0.685762\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.4472 | 1.00066 | 0.500329 | − | 0.865835i | \(-0.333212\pi\) | ||||
0.500329 | + | 0.865835i | \(0.333212\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.45652 | − | 2.05141i | −0.138247 | − | 0.194712i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −3.27678 | − | 0.577786i | −0.308254 | − | 0.0543535i | 0.0173814 | − | 0.999849i | \(-0.494467\pi\) |
−0.325635 | + | 0.945495i | \(0.605578\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.45982 | − | 5.31500i | −0.415880 | − | 0.495627i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −7.39841 | − | 4.14330i | −0.683983 | − | 0.383048i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.504729 | − | 2.86246i | −0.0462684 | − | 0.262401i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −18.4923 | + | 6.73066i | −1.68112 | + | 0.611878i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −19.4024 | − | 1.56959i | −1.74946 | − | 0.141525i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −7.74402 | − | 4.47101i | −0.692646 | − | 0.399899i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.80947 | − | 2.19940i | 0.338036 | − | 0.195165i | −0.321367 | − | 0.946955i | \(-0.604142\pi\) |
0.659403 | + | 0.751790i | \(0.270809\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.71366 | − | 10.3993i | 0.238924 | − | 0.915608i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.04355 | − | 0.875644i | −0.0911755 | − | 0.0765053i | 0.596061 | − | 0.802939i | \(-0.296732\pi\) |
−0.687236 | + | 0.726434i | \(0.741176\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.745854 | + | 0.271469i | 0.0646737 | + | 0.0235393i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −5.12385 | + | 0.549852i | −0.440990 | + | 0.0473238i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.38622 | + | 3.80861i | −0.118433 | + | 0.325391i | −0.984718 | − | 0.174159i | \(-0.944279\pi\) |
0.866285 | + | 0.499551i | \(0.166501\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.0544 | + | 11.9823i | −0.852801 | + | 1.01633i | 0.146830 | + | 0.989162i | \(0.453093\pi\) |
−0.999631 | + | 0.0271664i | \(0.991352\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.82269 | + | 13.9018i | 0.321928 | + | 1.17075i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 7.82789 | + | 13.5583i | 0.654601 | + | 1.13380i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.885166 | − | 1.53315i | 0.0735090 | − | 0.127321i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 23.7758 | + | 16.4171i | 1.96099 | + | 1.35406i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.36175 | + | 6.48884i | 0.193482 | + | 0.531587i | 0.998060 | − | 0.0622599i | \(-0.0198308\pi\) |
−0.804578 | + | 0.593847i | \(0.797609\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.40054 | + | 0.952262i | −0.439490 | + | 0.0774940i | −0.389015 | − | 0.921231i | \(-0.627185\pi\) |
−0.0504750 | + | 0.998725i | \(0.516074\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.334228 | + | 1.76042i | 0.0270208 | + | 0.142321i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.85693 | − | 3.23635i | 0.309796 | − | 0.259949i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.626364 | − | 3.55229i | 0.0499893 | − | 0.283503i | −0.949558 | − | 0.313592i | \(-0.898468\pi\) |
0.999547 | + | 0.0300883i | \(0.00957885\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −13.2334 | − | 6.06568i | −1.04947 | − | 0.481040i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 34.0449i | − | 2.68312i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.07293i | 0.397343i | 0.980066 | + | 0.198671i | \(0.0636627\pi\) | ||||
−0.980066 | + | 0.198671i | \(0.936337\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 8.64914 | + | 3.96444i | 0.673334 | + | 0.308631i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.81056 | − | 10.2682i | 0.140105 | − | 0.794576i | −0.831062 | − | 0.556179i | \(-0.812267\pi\) |
0.971168 | − | 0.238397i | \(-0.0766220\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.83845 | + | 3.22084i | −0.295265 | + | 0.247757i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.461954 | − | 0.161321i | −0.0353265 | − | 0.0123365i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 19.5905 | − | 3.45433i | 1.48944 | − | 0.262628i | 0.631094 | − | 0.775707i | \(-0.282606\pi\) |
0.858341 | + | 0.513079i | \(0.171495\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.68493 | − | 18.3667i | −0.505333 | − | 1.38839i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 11.1296 | + | 7.68499i | 0.836555 | + | 0.577639i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.51483 | − | 13.0161i | 0.561685 | − | 0.972866i | −0.435665 | − | 0.900109i | \(-0.643487\pi\) |
0.997350 | − | 0.0727573i | \(-0.0231798\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.08688 | + | 3.61458i | 0.155116 | + | 0.268669i | 0.933101 | − | 0.359613i | \(-0.117091\pi\) |
−0.777985 | + | 0.628283i | \(0.783758\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.89791 | + | 6.90206i | 0.140297 | + | 0.510215i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.925978 | − | 1.10354i | 0.0680792 | − | 0.0811337i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.13151 | − | 3.10879i | 0.0827440 | − | 0.227337i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −20.9941 | − | 14.0941i | −1.52710 | − | 1.02520i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 22.5495 | + | 8.20734i | 1.63162 | + | 0.593862i | 0.985546 | − | 0.169409i | \(-0.0541860\pi\) |
0.646078 | + | 0.763272i | \(0.276408\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.52079 | + | 5.47159i | 0.469377 | + | 0.393854i | 0.846567 | − | 0.532282i | \(-0.178665\pi\) |
−0.377191 | + | 0.926136i | \(0.623110\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.22591 | − | 4.69797i | 0.0877896 | − | 0.336428i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.63484 | − | 2.09858i | 0.258972 | − | 0.149517i | −0.364894 | − | 0.931049i | \(-0.618895\pi\) |
0.623865 | + | 0.781532i | \(0.285561\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.58250 | − | 2.64571i | −0.324845 | − | 0.187549i | 0.328705 | − | 0.944433i | \(-0.393388\pi\) |
−0.653550 | + | 0.756883i | \(0.726721\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 10.2132 | + | 0.826213i | 0.720383 | + | 0.0582765i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 8.16288 | − | 2.97105i | 0.572922 | − | 0.208527i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.93545 | − | 10.9765i | −0.135178 | − | 0.766632i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.274751 | + | 20.9862i | 0.0190965 | + | 1.45864i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.580702 | + | 0.692054i | 0.0401680 | + | 0.0478704i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.1463 | − | 1.96540i | −0.767344 | − | 0.135303i | −0.223744 | − | 0.974648i | \(-0.571828\pi\) |
−0.543600 | + | 0.839345i | \(0.682939\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.74001 | − | 5.26756i | −0.256261 | − | 0.360927i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 6.15388 | 0.419691 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 24.7053 | 1.67711 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 10.5534 | − | 0.992956i | 0.713136 | − | 0.0670977i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.66260 | − | 0.293162i | −0.111839 | − | 0.0197202i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.2504 | + | 13.4077i | 0.753380 | + | 0.897843i | 0.997410 | − | 0.0719243i | \(-0.0229140\pi\) |
−0.244030 | + | 0.969768i | \(0.578470\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.26898 | + | 11.2677i | 0.284599 | + | 0.751182i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.724677 | + | 4.10985i | 0.0480985 | + | 0.272780i | 0.999367 | − | 0.0355847i | \(-0.0113294\pi\) |
−0.951268 | + | 0.308365i | \(0.900218\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.78302 | + | 0.648967i | −0.117825 | + | 0.0428849i | −0.400260 | − | 0.916402i | \(-0.631080\pi\) |
0.282435 | + | 0.959287i | \(0.408858\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 20.0069 | + | 42.1818i | 1.31635 | + | 2.77536i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 15.7256 | + | 9.07917i | 1.03022 | + | 0.594796i | 0.917047 | − | 0.398779i | \(-0.130566\pi\) |
0.113171 | + | 0.993576i | \(0.463899\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7.14941 | + | 4.12772i | −0.466376 | + | 0.269262i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −14.6114 | − | 14.4214i | −0.949112 | − | 0.936768i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −13.3664 | − | 11.2158i | −0.864602 | − | 0.725487i | 0.0983526 | − | 0.995152i | \(-0.468643\pi\) |
−0.962954 | + | 0.269665i | \(0.913087\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −25.1799 | − | 9.16473i | −1.62198 | − | 0.590352i | −0.638222 | − | 0.769853i | \(-0.720330\pi\) |
−0.983758 | + | 0.179500i | \(0.942552\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 13.0551 | + | 8.51854i | 0.837482 | + | 0.546465i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.65828 | + | 15.5460i | −0.361495 | + | 0.993198i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.296336 | − | 0.353160i | 0.0188554 | − | 0.0224710i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −11.7171 | + | 11.8716i | −0.742544 | + | 0.752329i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 9.18578 | + | 15.9102i | 0.579801 | + | 1.00425i | 0.995502 | + | 0.0947437i | \(0.0302032\pi\) |
−0.415700 | + | 0.909502i | \(0.636464\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 19.3749 | − | 33.5584i | 1.21809 | − | 2.10980i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.927009 | + | 0.439682i | −0.0580516 | + | 0.0275339i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 7.13045 | + | 19.5908i | 0.444786 | + | 1.22204i | 0.936310 | + | 0.351174i | \(0.114218\pi\) |
−0.491525 | + | 0.870864i | \(0.663560\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.96126 | − | 1.22746i | 0.432551 | − | 0.0762705i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.00783 | + | 1.89730i | −0.309977 | + | 0.117440i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −20.5295 | + | 17.2263i | −1.26590 | + | 1.06222i | −0.270878 | + | 0.962614i | \(0.587314\pi\) |
−0.995027 | + | 0.0996068i | \(0.968242\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.44741 | − | 8.20865i | 0.0889135 | − | 0.504253i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.271718 | + | 2.88790i | 0.0166289 | + | 0.176737i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.10651i | 0.372321i | 0.982519 | + | 0.186160i | \(0.0596044\pi\) | ||||
−0.982519 | + | 0.186160i | \(0.940396\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.24989i | 0.318908i | 0.987205 | + | 0.159454i | \(0.0509734\pi\) | ||||
−0.987205 | + | 0.159454i | \(0.949027\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 19.4257 | − | 13.7924i | 1.17570 | − | 0.834756i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3.86307 | − | 21.9086i | 0.232952 | − | 1.32114i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 21.8063 | − | 18.2977i | 1.31022 | − | 1.09940i | 0.321934 | − | 0.946762i | \(-0.395667\pi\) |
0.988282 | − | 0.152640i | \(-0.0487775\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −15.2290 | + | 0.199378i | −0.911735 | + | 0.0119364i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.99467 | − | 0.528040i | 0.178647 | − | 0.0315002i | −0.0836090 | − | 0.996499i | \(-0.526645\pi\) |
0.262256 | + | 0.964998i | \(0.415534\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.13245 | − | 14.1013i | −0.305092 | − | 0.838235i | −0.993595 | − | 0.113001i | \(-0.963954\pi\) |
0.688502 | − | 0.725234i | \(-0.258268\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.0225912 | − | 0.279260i | 0.00133819 | − | 0.0165419i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 27.3455 | − | 47.3638i | 1.61415 | − | 2.79579i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.32162 | − | 14.4135i | −0.489507 | − | 0.847851i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −22.5850 | − | 5.89346i | −1.32396 | − | 0.345481i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 12.3270 | − | 14.6907i | 0.720150 | − | 0.858241i | −0.274495 | − | 0.961588i | \(-0.588511\pi\) |
0.994645 | + | 0.103347i | \(0.0329552\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.64869 | + | 7.27723i | −0.154213 | + | 0.423696i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −12.6731 | − | 25.8404i | −0.735370 | − | 1.49941i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −18.5818 | − | 6.76323i | −1.07461 | − | 0.391127i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 23.1316 | + | 19.4097i | 1.33328 | + | 1.11876i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 23.3528 | − | 6.42147i | 1.34158 | − | 0.368904i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −3.54958 | + | 2.04935i | −0.203248 | + | 0.117346i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −13.9719 | − | 8.06666i | −0.797416 | − | 0.460388i | 0.0451507 | − | 0.998980i | \(-0.485623\pi\) |
−0.842567 | + | 0.538592i | \(0.818957\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −5.42975 | + | 7.86354i | −0.308888 | + | 0.447341i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −17.9054 | + | 6.51704i | −1.01532 | + | 0.369548i | −0.795475 | − | 0.605986i | \(-0.792779\pi\) |
−0.219849 | + | 0.975534i | \(0.570556\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.68661 | + | 9.56523i | 0.0953328 | + | 0.540659i | 0.994645 | + | 0.103352i | \(0.0329567\pi\) |
−0.899312 | + | 0.437307i | \(0.855932\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 4.77343 | − | 13.6691i | 0.268952 | − | 0.770164i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 12.4921 | + | 14.8875i | 0.701628 | + | 0.836167i | 0.992710 | − | 0.120531i | \(-0.0384596\pi\) |
−0.291082 | + | 0.956698i | \(0.594015\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.73704 | + | 1.71690i | 0.545170 | + | 0.0961281i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −8.22716 | + | 17.9490i | −0.459195 | + | 1.00182i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.0974201 | −0.00542060 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −11.3526 | −0.629728 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 7.53979 | − | 16.4494i | 0.416951 | − | 0.909653i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −39.8928 | − | 7.03417i | −2.19936 | − | 0.387807i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −21.1483 | − | 25.2035i | −1.16241 | − | 1.38531i | −0.908395 | − | 0.418113i | \(-0.862692\pi\) |
−0.254020 | − | 0.967199i | \(-0.581753\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.28119 | + | 0.812814i | −0.234608 | + | 0.0445420i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.01880 | + | 5.77789i | 0.0556629 | + | 0.315680i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.50899 | + | 1.27717i | −0.191147 | + | 0.0695717i | −0.435820 | − | 0.900034i | \(-0.643542\pi\) |
0.244673 | + | 0.969606i | \(0.421319\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3.27461 | + | 4.74240i | −0.177853 | + | 0.257572i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 24.3522 | + | 14.0598i | 1.31875 | + | 0.761380i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −40.8012 | + | 23.5566i | −2.20306 | + | 1.27193i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −11.5873 | + | 3.18624i | −0.623839 | + | 0.171542i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 17.2766 | + | 14.4968i | 0.927456 | + | 0.778228i | 0.975359 | − | 0.220624i | \(-0.0708093\pi\) |
−0.0479028 | + | 0.998852i | \(0.515254\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.89430 | − | 2.87329i | −0.422572 | − | 0.153804i | 0.121977 | − | 0.992533i | \(-0.461077\pi\) |
−0.544548 | + | 0.838729i | \(0.683299\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −11.8632 | + | 8.65877i | −0.633211 | + | 0.462171i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 9.50025 | − | 26.1017i | 0.505648 | − | 1.38926i | −0.380039 | − | 0.924971i | \(-0.624089\pi\) |
0.885686 | − | 0.464285i | \(-0.153688\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.37770 | − | 2.83363i | 0.126195 | − | 0.150394i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −4.87129 | − | 1.27114i | −0.257816 | − | 0.0672760i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 11.1197 | + | 19.2599i | 0.586877 | + | 1.01650i | 0.994639 | + | 0.103412i | \(0.0329759\pi\) |
−0.407762 | + | 0.913088i | \(0.633691\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.48670 | + | 16.4314i | −0.499300 | + | 0.864813i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −2.74840 | + | 33.9743i | −0.144254 | + | 1.78319i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.07587 | + | 5.70340i | 0.108656 | + | 0.298530i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.99817 | + | 1.23397i | −0.365302 | + | 0.0644125i | −0.353286 | − | 0.935515i | \(-0.614936\pi\) |
−0.0120154 | + | 0.999928i | \(0.503825\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −16.4742 | + | 29.4169i | −0.857613 | + | 1.53138i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 31.3312 | − | 26.2900i | 1.62664 | − | 1.36491i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.08072 | + | 17.4716i | −0.159514 | + | 0.904646i | 0.795029 | + | 0.606571i | \(0.207456\pi\) |
−0.954543 | + | 0.298075i | \(0.903656\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −12.6286 | + | 8.96642i | −0.652140 | + | 0.463024i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 5.04554i | − | 0.259858i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 0.696553i | − | 0.0357795i | −0.999840 | − | 0.0178898i | \(-0.994305\pi\) | ||
0.999840 | − | 0.0178898i | \(-0.00569479\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.713701 | − | 7.58544i | −0.0365640 | − | 0.388614i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.97272 | − | 16.8591i | 0.151899 | − | 0.861462i | −0.809667 | − | 0.586889i | \(-0.800352\pi\) |
0.961566 | − | 0.274573i | \(-0.0885365\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −20.4776 | + | 17.1828i | −1.04364 | + | 0.875715i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −14.4156 | − | 11.7780i | −0.732784 | − | 0.598708i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −16.9672 | + | 2.99177i | −0.860269 | + | 0.151689i | −0.586344 | − | 0.810062i | \(-0.699433\pi\) |
−0.273925 | + | 0.961751i | \(0.588322\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.42917 | + | 3.92662i | 0.0722764 | + | 0.198578i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.13186 | + | 1.01114i | −0.107538 | + | 0.0510055i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.87750 | − | 10.1801i | 0.295729 | − | 0.512218i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.24458 | + | 7.35182i | 0.213029 | + | 0.368977i | 0.952661 | − | 0.304034i | \(-0.0983337\pi\) |
−0.739632 | + | 0.673012i | \(0.765000\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.965722 | − | 0.978448i | 0.0483466 | − | 0.0489837i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.54824 | − | 7.80389i | 0.327004 | − | 0.389708i | −0.577346 | − | 0.816499i | \(-0.695912\pi\) |
0.904350 | + | 0.426792i | \(0.140356\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.90786 | − | 13.4842i | 0.244478 | − | 0.671697i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.83215 | + | 8.46447i | −0.140731 | + | 0.420603i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.56031 | + | 2.75173i | 0.374751 | + | 0.136398i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.6107 | − | 15.6162i | −0.920238 | − | 0.772171i | 0.0538011 | − | 0.998552i | \(-0.482866\pi\) |
−0.974039 | + | 0.226380i | \(0.927311\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.99632 | + | 4.93134i | 0.246450 | + | 0.243245i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −32.9089 | + | 19.0000i | −1.61934 | + | 0.934928i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.27121 | − | 4.77538i | −0.406018 | − | 0.234414i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 11.6102 | + | 24.4786i | 0.568556 | + | 1.19872i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −0.0629252 | + | 0.0229029i | −0.00307410 | + | 0.00111888i | −0.343557 | − | 0.939132i | \(-0.611632\pi\) |
0.340483 | + | 0.940251i | \(0.389410\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.84853 | − | 27.4974i | −0.236303 | − | 1.34014i | −0.839853 | − | 0.542814i | \(-0.817359\pi\) |
0.603550 | − | 0.797325i | \(-0.293752\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 24.6477 | + | 4.01410i | 1.19841 | + | 0.195172i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.54203 | + | 1.83772i | 0.0747995 | + | 0.0891425i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −19.8062 | − | 3.49237i | −0.958489 | − | 0.169007i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 26.9974 | − | 2.54014i | 1.30345 | − | 0.122639i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −28.9982 | −1.39679 | −0.698397 | − | 0.715710i | \(-0.746103\pi\) | ||||
−0.698397 | + | 0.715710i | \(0.746103\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −25.6912 | −1.23464 | −0.617320 | − | 0.786712i | \(-0.711782\pi\) | ||||
−0.617320 | + | 0.786712i | \(0.711782\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.77516 | − | 2.50020i | −0.0851126 | − | 0.119876i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.12374 | − | 0.198145i | −0.0537556 | − | 0.00947857i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8.68012 | + | 10.3446i | 0.414280 | + | 0.493719i | 0.932319 | − | 0.361638i | \(-0.117782\pi\) |
−0.518039 | + | 0.855357i | \(0.673338\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 43.0083 | − | 25.5873i | 2.04801 | − | 1.21844i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.24107 | − | 7.03844i | −0.0589649 | − | 0.334406i | 0.941027 | − | 0.338330i | \(-0.109862\pi\) |
−0.999992 | + | 0.00392386i | \(0.998751\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.56071 | + | 0.568052i | −0.0739848 | + | 0.0269283i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 11.9214 | + | 0.964397i | 0.563861 | + | 0.0456144i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.7841 | − | 10.8450i | −0.886477 | − | 0.511807i | −0.0136882 | − | 0.999906i | \(-0.504357\pi\) |
−0.872788 | + | 0.488099i | \(0.837691\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 53.9093 | − | 31.1246i | 2.53849 | − | 1.46560i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −2.39824 | + | 9.19057i | −0.112679 | + | 0.431810i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 10.4499 | + | 8.76849i | 0.489898 | + | 0.411073i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 34.0401 | + | 12.3896i | 1.59233 | + | 0.579561i | 0.977838 | − | 0.209363i | \(-0.0671390\pi\) |
0.614492 | + | 0.788923i | \(0.289361\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.01304 | + | 0.744252i | 0.140637 | + | 0.0347387i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.10359 | + | 11.2745i | −0.191123 | + | 0.525107i | −0.997830 | − | 0.0658453i | \(-0.979026\pi\) |
0.806707 | + | 0.590952i | \(0.201248\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.669388 | − | 0.797745i | 0.0311091 | − | 0.0370744i | −0.750266 | − | 0.661137i | \(-0.770074\pi\) |
0.781375 | + | 0.624062i | \(0.214519\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.31215 | − | 8.40853i | −0.107224 | − | 0.389936i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −2.21810 | − | 3.84186i | −0.102641 | − | 0.177780i | 0.810131 | − | 0.586249i | \(-0.199396\pi\) |
−0.912772 | + | 0.408469i | \(0.866063\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14.3943 | + | 24.9317i | −0.664668 | + | 1.15124i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −5.14113 | − | 3.54993i | −0.236891 | − | 0.163572i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 11.7550 | + | 32.2965i | 0.540494 | + | 1.48500i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.645144 | + | 0.113756i | −0.0296013 | + | 0.00521950i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −19.1012 | + | 16.4587i | −0.874583 | + | 0.753591i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −12.7569 | + | 10.7043i | −0.582876 | + | 0.489091i | −0.885890 | − | 0.463895i | \(-0.846452\pi\) |
0.303014 | + | 0.952986i | \(0.402007\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.712945 | − | 4.04331i | 0.0325075 | − | 0.184359i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −53.6048 | − | 24.5704i | −2.43910 | − | 1.11799i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 13.3649i | − | 0.606867i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 15.4161i | − | 0.698570i | −0.937016 | − | 0.349285i | \(-0.886424\pi\) | ||
0.937016 | − | 0.349285i | \(-0.113576\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.98748 | + | 3.66117i | 0.361206 | + | 0.165564i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.16739 | + | 6.62060i | −0.0526836 | + | 0.298784i | −0.999753 | − | 0.0222468i | \(-0.992918\pi\) |
0.947069 | + | 0.321030i | \(0.104029\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.816756 | + | 0.685340i | −0.0367848 | + | 0.0308661i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 12.4843 | − | 10.7572i | 0.561126 | − | 0.483498i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 17.8749 | − | 3.15183i | 0.801799 | − | 0.141379i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.8160 | + | 32.4641i | 0.528956 | + | 1.45329i | 0.860302 | + | 0.509785i | \(0.170275\pi\) |
−0.331346 | + | 0.943509i | \(0.607503\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −14.8609 | − | 10.2614i | −0.663935 | − | 0.458445i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −7.55590 | + | 13.0872i | −0.336901 | + | 0.583530i | −0.983848 | − | 0.179005i | \(-0.942712\pi\) |
0.646947 | + | 0.762535i | \(0.276045\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.93387 | + | 12.0098i | 0.308553 | + | 0.534430i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.30108 | + | 8.36825i | 0.102194 | + | 0.371647i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −5.27599 | + | 6.28768i | −0.233854 | + | 0.278696i | −0.870191 | − | 0.492715i | \(-0.836004\pi\) |
0.636337 | + | 0.771411i | \(0.280449\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.1860 | + | 27.9858i | −0.450601 | + | 1.23802i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.587399 | + | 0.610934i | −0.0259343 | + | 0.0269734i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −5.14165 | − | 1.87141i | −0.226568 | − | 0.0824641i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −35.3195 | − | 29.6366i | −1.55335 | − | 1.30342i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 8.69961 | − | 33.3388i | 0.381870 | − | 1.46341i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.45686 | + | 1.41847i | −0.107637 | + | 0.0621444i | −0.552852 | − | 0.833279i | \(-0.686461\pi\) |
0.445215 | + | 0.895424i | \(0.353127\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 26.4086 | + | 15.2470i | 1.15477 | + | 0.666705i | 0.950044 | − | 0.312116i | \(-0.101038\pi\) |
0.204722 | + | 0.978820i | \(0.434371\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −33.7434 | − | 2.72973i | −1.47268 | − | 0.119135i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.84942 | + | 1.03710i | −0.124123 | + | 0.0451770i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.50510 | + | 25.5497i | 0.195874 | + | 1.11086i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 20.1326 | − | 11.9776i | 0.873679 | − | 0.519786i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −20.4189 | − | 24.3343i | −0.884441 | − | 1.05404i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.1338 | − | 1.96318i | −0.481355 | − | 0.0848758i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −15.0707 | − | 21.2261i | −0.650348 | − | 0.915973i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −92.3962 | −3.97979 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 35.3176 | 1.51842 | 0.759212 | − | 0.650844i | \(-0.225585\pi\) | ||||
0.759212 | + | 0.650844i | \(0.225585\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 7.19737 | − | 0.677188i | 0.308869 | − | 0.0290609i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 10.2035 | + | 1.79916i | 0.437072 | + | 0.0770676i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.0568 | − | 15.5605i | −0.558270 | − | 0.665320i | 0.410909 | − | 0.911676i | \(-0.365211\pi\) |
−0.969179 | + | 0.246356i | \(0.920767\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 12.2372 | + | 1.99294i | 0.522272 | + | 0.0850567i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.0505578 | − | 0.286728i | −0.00215384 | − | 0.0122150i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 54.2015 | − | 19.7277i | 2.30488 | − | 0.838909i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.06927 | − | 2.25441i | −0.0453879 | − | 0.0956943i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 26.5321 | + | 15.3183i | 1.12420 | + | 0.649059i | 0.942471 | − | 0.334289i | \(-0.108496\pi\) |
0.181733 | + | 0.983348i | \(0.441830\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.1891 | − | 8.76943i | 0.642431 | − | 0.370908i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.07827 | − | 4.02522i | −0.172185 | − | 0.169945i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 15.2500 | + | 12.7963i | 0.642712 | + | 0.539299i | 0.904850 | − | 0.425731i | \(-0.139983\pi\) |
−0.262138 | + | 0.965030i | \(0.584428\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.10086 | − | 1.12862i | −0.130454 | − | 0.0474815i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −37.3432 | + | 22.8841i | −1.56827 | + | 0.961040i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −2.77000 | + | 7.61051i | −0.116124 | + | 0.319049i | −0.984115 | − | 0.177531i | \(-0.943189\pi\) |
0.867991 | + | 0.496580i | \(0.165411\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.7051 | + | 16.3331i | −0.573540 | + | 0.683518i | −0.972353 | − | 0.233514i | \(-0.924978\pi\) |
0.398814 | + | 0.917032i | \(0.369422\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 29.1968 | − | 29.5815i | 1.21971 | − | 1.23579i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 14.0495 | + | 24.3344i | 0.585904 | + | 1.01482i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.0682767 | − | 0.118259i | 0.00284239 | − | 0.00492317i | −0.864601 | − | 0.502460i | \(-0.832429\pi\) |
0.867443 | + | 0.497536i | \(0.165762\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 13.3213 | − | 6.31829i | 0.553613 | − | 0.262579i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −16.0285 | − | 44.0380i | −0.664975 | − | 1.82700i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 45.8451 | − | 8.08372i | 1.89871 | − | 0.334794i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −6.51233 | − | 5.32079i | −0.269252 | − | 0.219987i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 21.3306 | − | 17.8985i | 0.880407 | − | 0.738749i | −0.0858556 | − | 0.996308i | \(-0.527362\pi\) |
0.966263 | + | 0.257558i | \(0.0829179\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.143788 | − | 0.815460i | 0.00592466 | − | 0.0336004i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.680984 | − | 7.23771i | −0.0280119 | − | 0.297720i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 16.6379i | − | 0.683238i | −0.939839 | − | 0.341619i | \(-0.889025\pi\) | ||
0.939839 | − | 0.341619i | \(-0.110975\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 2.88263i | − | 0.118176i | ||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −7.47297 | + | 5.30586i | −0.305848 | + | 0.217154i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −4.24539 | + | 24.0768i | −0.173462 | + | 0.983752i | 0.766442 | + | 0.642314i | \(0.222025\pi\) |
−0.939904 | + | 0.341439i | \(0.889086\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 30.7637 | − | 25.8138i | 1.25488 | − | 1.05297i | 0.258671 | − | 0.965965i | \(-0.416715\pi\) |
0.996208 | − | 0.0870032i | \(-0.0277290\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 8.67181 | − | 15.4847i | 0.353144 | − | 0.630585i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −19.2202 | + | 3.38904i | −0.781413 | + | 0.137784i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.65409 | + | 15.5345i | 0.229493 | + | 0.630526i | 0.999976 | − | 0.00693444i | \(-0.00220732\pi\) |
−0.770483 | + | 0.637460i | \(0.779985\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.21320 | − | 14.9969i | 0.0491613 | − | 0.607706i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −11.7642 | + | 20.3762i | −0.475929 | + | 0.824333i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.00864 | − | 1.74701i | −0.0407385 | − | 0.0705611i | 0.844937 | − | 0.534865i | \(-0.179638\pi\) |
−0.885676 | + | 0.464304i | \(0.846304\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −18.6796 | − | 4.87437i | −0.753236 | − | 0.196554i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 20.7709 | − | 24.7538i | 0.836204 | − | 0.996549i | −0.163746 | − | 0.986503i | \(-0.552358\pi\) |
0.999950 | − | 0.0100465i | \(-0.00319796\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.84499 | + | 13.3115i | −0.194737 | + | 0.535035i | −0.998177 | − | 0.0603502i | \(-0.980778\pi\) |
0.803441 | + | 0.595385i | \(0.203000\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 33.2416 | + | 14.7132i | 1.33394 | + | 0.590421i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.65818 | − | 2.78735i | −0.306818 | − | 0.111673i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.59041 | + | 7.20821i | 0.343616 | + | 0.288328i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.50875 | − | 0.414873i | 0.0602538 | − | 0.0165684i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.751359 | + | 0.433797i | −0.0299586 | + | 0.0172966i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.0965 | + | 7.56128i | 0.521365 | + | 0.301010i | 0.737493 | − | 0.675355i | \(-0.236010\pi\) |
−0.216128 | + | 0.976365i | \(0.569343\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −11.1389 | + | 16.1318i | −0.442733 | + | 0.641180i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 4.09940 | − | 1.49206i | 0.162680 | − | 0.0592106i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8.18759 | + | 46.4341i | 0.324404 | + | 1.83979i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −10.9931 | + | 2.08712i | −0.434881 | + | 0.0825653i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.66991 | + | 3.18187i | 0.105455 | + | 0.125676i | 0.816190 | − | 0.577783i | \(-0.196082\pi\) |
−0.710735 | + | 0.703460i | \(0.751638\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 43.0780 | + | 7.59582i | 1.69883 | + | 0.299550i | 0.937286 | − | 0.348561i | \(-0.113329\pi\) |
0.761546 | + | 0.648111i | \(0.224441\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.44129 | − | 9.68946i | 0.174876 | − | 0.381522i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 12.1823 | 0.478936 | 0.239468 | − | 0.970904i | \(-0.423027\pi\) | ||||
0.239468 | + | 0.970904i | \(0.423027\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −43.2515 | −1.69777 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 17.8300 | − | 38.8992i | 0.698812 | − | 1.52458i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 36.7762 | + | 6.48464i | 1.43916 | + | 0.253763i | 0.838135 | − | 0.545463i | \(-0.183646\pi\) |
0.601030 | + | 0.799227i | \(0.294757\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.868416 | − | 1.03494i | −0.0339318 | − | 0.0404384i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.05305 | − | 17.3333i | 0.236152 | − | 0.676238i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.48344 | − | 8.41298i | −0.0577865 | − | 0.327723i | 0.942186 | − | 0.335089i | \(-0.108766\pi\) |
−0.999973 | + | 0.00736587i | \(0.997655\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.439161 | − | 0.159841i | 0.0170814 | − | 0.00621711i | −0.333465 | − | 0.942762i | \(-0.608218\pi\) |
0.350547 | + | 0.936545i | \(0.385996\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.66150 | + | 2.40624i | −0.0645274 | + | 0.0934507i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.681709 | + | 0.393585i | 0.0264355 | + | 0.0152626i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.8152 | + | 6.24415i | −0.418765 | + | 0.241774i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 29.2302 | − | 8.03764i | 1.13010 | − | 0.310753i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −17.5356 | − | 14.7141i | −0.676956 | − | 0.568033i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.43038 | + | 1.61253i | 0.170779 | + | 0.0621584i | 0.425994 | − | 0.904726i | \(-0.359924\pi\) |
−0.255216 | + | 0.966884i | \(0.582147\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 20.8223 | + | 1.41036i | 0.801452 | + | 0.0542846i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 9.86735 | − | 27.1103i | 0.379233 | − | 1.04193i | −0.592442 | − | 0.805613i | \(-0.701836\pi\) |
0.971675 | − | 0.236321i | \(-0.0759417\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 42.1537 | − | 50.2368i | 1.61771 | − | 1.92791i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6.99407 | + | 1.82507i | 0.268014 | + | 0.0699370i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 22.0332 | + | 38.1626i | 0.843076 | + | 1.46025i | 0.887282 | + | 0.461228i | \(0.152591\pi\) |
−0.0442060 | + | 0.999022i | \(0.514076\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.00979 | + | 3.48106i | −0.0767902 | + | 0.133004i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.265000 | + | 3.27578i | −0.0101104 | + | 0.124979i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −8.12502 | − | 22.3233i | −0.309539 | − | 0.850451i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −41.2765 | + | 7.27817i | −1.57023 | + | 0.276875i | −0.889944 | − | 0.456069i | \(-0.849257\pi\) |
−0.680289 | + | 0.732944i | \(0.738146\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 80.8555 | − | 1.05856i | 3.07144 | − | 0.0402114i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −11.8834 | + | 9.97138i | −0.450764 | + | 0.378236i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.16564 | + | 6.61070i | −0.0441519 | + | 0.250398i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 25.6447 | − | 18.2079i | 0.969970 | − | 0.688686i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.277648i | 0.0104866i | 0.999986 | + | 0.00524332i | \(0.00166901\pi\) | ||||
−0.999986 | + | 0.00524332i | \(0.998331\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 0.236917i | − | 0.00893550i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.33944 | + | 14.2360i | 0.0504461 | + | 0.536157i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −11.8162 | + | 67.0132i | −0.444395 | + | 2.52029i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −26.9969 | + | 22.6531i | −1.01389 | + | 0.850754i | −0.988847 | − | 0.148933i | \(-0.952416\pi\) |
−0.0250415 | + | 0.999686i | \(0.507972\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −33.2520 | + | 12.5981i | −1.24705 | + | 0.472465i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −34.9774 | + | 6.16746i | −1.30991 | + | 0.230973i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.31040 | + | 14.5902i | 0.198598 | + | 0.545642i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −27.3061 | + | 12.9513i | −1.01977 | + | 0.483677i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 25.5033 | − | 44.1730i | 0.951113 | − | 1.64738i | 0.208091 | − | 0.978109i | \(-0.433275\pi\) |
0.743022 | − | 0.669267i | \(-0.233392\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.4243 | − | 23.2515i | −0.499945 | − | 0.865931i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −32.6026 | + | 33.0322i | −1.21250 | + | 1.22848i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.60853 | + | 5.49224i | −0.171157 | + | 0.203977i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.74866 | − | 10.2994i | 0.139030 | − | 0.381982i | −0.850564 | − | 0.525872i | \(-0.823739\pi\) |
0.989594 | + | 0.143890i | \(0.0459612\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 22.8346 | − | 14.4077i | 0.845726 | − | 0.533618i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.48272 | − | 1.26761i | −0.128813 | − | 0.0468841i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.12425 | − | 4.29976i | −0.189269 | − | 0.158815i | 0.543230 | − | 0.839584i | \(-0.317201\pi\) |
−0.732498 | + | 0.680769i | \(0.761646\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 20.3940 | + | 20.1288i | 0.752245 | + | 0.742461i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −28.3772 | + | 16.3836i | −1.04529 | + | 0.603497i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 14.5944 | + | 8.42609i | 0.536864 | + | 0.309959i | 0.743807 | − | 0.668394i | \(-0.233018\pi\) |
−0.206943 | + | 0.978353i | \(0.566351\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.342193 | − | 0.721468i | −0.0125708 | − | 0.0265038i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 10.5585 | − | 3.84299i | 0.387355 | − | 0.140986i | −0.140999 | − | 0.990010i | \(-0.545031\pi\) |
0.528354 | + | 0.849024i | \(0.322809\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.18919 | + | 6.74425i | 0.0435687 | + | 0.247090i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 10.2358 | + | 27.0168i | 0.374507 | + | 0.988491i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −35.6584 | − | 42.4960i | −1.30293 | − | 1.55277i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 46.3569 | + | 8.17398i | 1.69159 | + | 0.298273i | 0.934744 | − | 0.355322i | \(-0.115629\pi\) |
0.756844 | + | 0.653595i | \(0.226740\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 31.6806 | − | 2.98077i | 1.15450 | − | 0.108625i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −5.43859 | −0.197931 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −34.8478 | −1.26656 | −0.633282 | − | 0.773921i | \(-0.718292\pi\) | ||||
−0.633282 | + | 0.773921i | \(0.718292\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −38.8557 | − | 54.7257i | −1.41037 | − | 1.98642i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 8.01971 | + | 1.41409i | 0.290714 | + | 0.0512608i | 0.317103 | − | 0.948391i | \(-0.397290\pi\) |
−0.0263892 | + | 0.999652i | \(0.508401\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 32.6791 | + | 38.9455i | 1.18306 | + | 1.40992i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.0232635 | + | 1.77692i | 0.000841093 | + | 0.0642448i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 3.83268 | + | 21.7362i | 0.138390 | + | 0.784850i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −33.8466 | + | 12.3191i | −1.22054 | + | 0.444240i | −0.870347 | − | 0.492438i | \(-0.836106\pi\) |
−0.350191 | + | 0.936678i | \(0.613883\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 35.9923 | + | 2.91166i | 1.29623 | + | 0.104861i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 22.6182 | + | 13.0586i | 0.813521 | + | 0.469687i | 0.848177 | − | 0.529713i | \(-0.177700\pi\) |
−0.0346560 | + | 0.999399i | \(0.511034\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.6587 | + | 10.1953i | −0.634319 | + | 0.366224i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3.09131 | − | 11.8466i | 0.110900 | − | 0.424993i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1.40420 | − | 1.17827i | −0.0503108 | − | 0.0422158i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 19.4132 | + | 7.06581i | 0.694657 | + | 0.252835i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.626818 | + | 9.25427i | −0.0224006 | + | 0.330721i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.22351 | − | 3.36157i | 0.0436690 | − | 0.119980i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.45027 | + | 7.68713i | −0.229927 | + | 0.274017i | −0.868656 | − | 0.495415i | \(-0.835016\pi\) |
0.638729 | + | 0.769432i | \(0.279460\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 12.3071 | + | 44.7567i | 0.438143 | + | 1.59338i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −8.09599 | − | 14.0227i | −0.287860 | − | 0.498589i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.84076 | + | 10.1165i | −0.207411 | + | 0.359247i | ||||
\(794\) | 0 | 0 |