Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(214,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.h (of order \(3\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 214.3 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.214 |
Dual form | 441.2.h.d.373.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.53209 | 1.79046 | 0.895229 | − | 0.445607i | \(-0.147012\pi\) | ||||
0.895229 | + | 0.445607i | \(0.147012\pi\) | |||||||
\(3\) | −0.592396 | − | 1.62760i | −0.342020 | − | 0.939693i | ||||
\(4\) | 4.41147 | 2.20574 | ||||||||
\(5\) | 0.439693 | − | 0.761570i | 0.196637 | − | 0.340584i | −0.750799 | − | 0.660530i | \(-0.770331\pi\) |
0.947436 | + | 0.319946i | \(0.103665\pi\) | |||||||
\(6\) | −1.50000 | − | 4.12122i | −0.612372 | − | 1.68248i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 6.10607 | 2.15882 | ||||||||
\(9\) | −2.29813 | + | 1.92836i | −0.766044 | + | 0.642788i | ||||
\(10\) | 1.11334 | − | 1.92836i | 0.352069 | − | 0.609802i | ||||
\(11\) | −1.93969 | − | 3.35965i | −0.584839 | − | 1.01297i | −0.994895 | − | 0.100911i | \(-0.967824\pi\) |
0.410056 | − | 0.912060i | \(-0.365509\pi\) | |||||||
\(12\) | −2.61334 | − | 7.18009i | −0.754407 | − | 2.07271i | ||||
\(13\) | 2.72668 | + | 4.72275i | 0.756245 | + | 1.30986i | 0.944753 | + | 0.327784i | \(0.106302\pi\) |
−0.188507 | + | 0.982072i | \(0.560365\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.50000 | − | 0.264490i | −0.387298 | − | 0.0682911i | ||||
\(16\) | 6.63816 | 1.65954 | ||||||||
\(17\) | −0.826352 | + | 1.43128i | −0.200420 | + | 0.347137i | −0.948664 | − | 0.316286i | \(-0.897564\pi\) |
0.748244 | + | 0.663424i | \(0.230897\pi\) | |||||||
\(18\) | −5.81908 | + | 4.88279i | −1.37157 | + | 1.15088i | ||||
\(19\) | −1.20574 | − | 2.08840i | −0.276615 | − | 0.479111i | 0.693926 | − | 0.720046i | \(-0.255879\pi\) |
−0.970541 | + | 0.240935i | \(0.922546\pi\) | |||||||
\(20\) | 1.93969 | − | 3.35965i | 0.433728 | − | 0.751240i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.91147 | − | 8.50692i | −1.04713 | − | 1.81368i | ||||
\(23\) | −1.58125 | + | 2.73881i | −0.329714 | + | 0.571081i | −0.982455 | − | 0.186500i | \(-0.940286\pi\) |
0.652741 | + | 0.757581i | \(0.273619\pi\) | |||||||
\(24\) | −3.61721 | − | 9.93821i | −0.738360 | − | 2.02863i | ||||
\(25\) | 2.11334 | + | 3.66041i | 0.422668 | + | 0.732083i | ||||
\(26\) | 6.90420 | + | 11.9584i | 1.35403 | + | 2.34524i | ||||
\(27\) | 4.50000 | + | 2.59808i | 0.866025 | + | 0.500000i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.02481 | − | 5.23913i | 0.561694 | − | 0.972883i | −0.435655 | − | 0.900114i | \(-0.643483\pi\) |
0.997349 | − | 0.0727688i | \(-0.0231835\pi\) | |||||||
\(30\) | −3.79813 | − | 0.669713i | −0.693441 | − | 0.122272i | ||||
\(31\) | −4.55438 | −0.817990 | −0.408995 | − | 0.912537i | \(-0.634121\pi\) | ||||
−0.408995 | + | 0.912537i | \(0.634121\pi\) | |||||||
\(32\) | 4.59627 | 0.812513 | ||||||||
\(33\) | −4.31908 | + | 5.14728i | −0.751855 | + | 0.896026i | ||||
\(34\) | −2.09240 | + | 3.62414i | −0.358843 | + | 0.621534i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −10.1382 | + | 8.50692i | −1.68969 | + | 1.41782i | ||||
\(37\) | 2.27719 | + | 3.94421i | 0.374368 | + | 0.648424i | 0.990232 | − | 0.139428i | \(-0.0445265\pi\) |
−0.615865 | + | 0.787852i | \(0.711193\pi\) | |||||||
\(38\) | −3.05303 | − | 5.28801i | −0.495267 | − | 0.857828i | ||||
\(39\) | 6.07145 | − | 7.23567i | 0.972210 | − | 1.15864i | ||||
\(40\) | 2.68479 | − | 4.65020i | 0.424503 | − | 0.735261i | ||||
\(41\) | 0.592396 | + | 1.02606i | 0.0925168 | + | 0.160244i | 0.908570 | − | 0.417734i | \(-0.137175\pi\) |
−0.816053 | + | 0.577977i | \(0.803842\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.0923963 | + | 0.160035i | −0.0140903 | + | 0.0244051i | −0.872985 | − | 0.487748i | \(-0.837819\pi\) |
0.858894 | + | 0.512153i | \(0.171152\pi\) | |||||||
\(44\) | −8.55690 | − | 14.8210i | −1.29000 | − | 2.23435i | ||||
\(45\) | 0.458111 | + | 2.59808i | 0.0682911 | + | 0.387298i | ||||
\(46\) | −4.00387 | + | 6.93491i | −0.590338 | + | 1.02250i | ||||
\(47\) | −1.02229 | −0.149116 | −0.0745581 | − | 0.997217i | \(-0.523755\pi\) | ||||
−0.0745581 | + | 0.997217i | \(0.523755\pi\) | |||||||
\(48\) | −3.93242 | − | 10.8042i | −0.567596 | − | 1.55946i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 5.35117 | + | 9.26849i | 0.756769 | + | 1.31076i | ||||
\(51\) | 2.81908 | + | 0.497079i | 0.394750 | + | 0.0696051i | ||||
\(52\) | 12.0287 | + | 20.8343i | 1.66808 | + | 2.88920i | ||||
\(53\) | −3.64543 | + | 6.31407i | −0.500738 | + | 0.867304i | 0.499261 | + | 0.866451i | \(0.333605\pi\) |
−1.00000 | 0.000852699i | \(0.999729\pi\) | ||||||||
\(54\) | 11.3944 | + | 6.57856i | 1.55058 | + | 0.895229i | ||||
\(55\) | −3.41147 | −0.460003 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.68479 | + | 3.19961i | −0.355609 | + | 0.423799i | ||||
\(58\) | 7.65910 | − | 13.2660i | 1.00569 | − | 1.74190i | ||||
\(59\) | 6.66044 | 0.867116 | 0.433558 | − | 0.901126i | \(-0.357258\pi\) | ||||
0.433558 | + | 0.901126i | \(0.357258\pi\) | |||||||
\(60\) | −6.61721 | − | 1.16679i | −0.854278 | − | 0.150632i | ||||
\(61\) | −2.59627 | −0.332418 | −0.166209 | − | 0.986091i | \(-0.553153\pi\) | ||||
−0.166209 | + | 0.986091i | \(0.553153\pi\) | |||||||
\(62\) | −11.5321 | −1.46458 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.63816 | −0.204769 | ||||||||
\(65\) | 4.79561 | 0.594822 | ||||||||
\(66\) | −10.9363 | + | 13.0334i | −1.34616 | + | 1.60430i | ||||
\(67\) | −2.95811 | −0.361391 | −0.180695 | − | 0.983539i | \(-0.557835\pi\) | ||||
−0.180695 | + | 0.983539i | \(0.557835\pi\) | |||||||
\(68\) | −3.64543 | + | 6.31407i | −0.442073 | + | 0.765693i | ||||
\(69\) | 5.39440 | + | 0.951178i | 0.649409 | + | 0.114508i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.68004 | −0.436741 | −0.218370 | − | 0.975866i | \(-0.570074\pi\) | ||||
−0.218370 | + | 0.975866i | \(0.570074\pi\) | |||||||
\(72\) | −14.0326 | + | 11.7747i | −1.65375 | + | 1.38766i | ||||
\(73\) | 6.39053 | − | 11.0687i | 0.747955 | − | 1.29550i | −0.200847 | − | 0.979623i | \(-0.564369\pi\) |
0.948801 | − | 0.315873i | \(-0.102297\pi\) | |||||||
\(74\) | 5.76604 | + | 9.98708i | 0.670289 | + | 1.16097i | ||||
\(75\) | 4.70574 | − | 5.60808i | 0.543372 | − | 0.647565i | ||||
\(76\) | −5.31908 | − | 9.21291i | −0.610140 | − | 1.05679i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 15.3735 | − | 18.3214i | 1.74070 | − | 2.07449i | ||||
\(79\) | −5.95811 | −0.670340 | −0.335170 | − | 0.942158i | \(-0.608794\pi\) | ||||
−0.335170 | + | 0.942158i | \(0.608794\pi\) | |||||||
\(80\) | 2.91875 | − | 5.05542i | 0.326326 | − | 0.565213i | ||||
\(81\) | 1.56283 | − | 8.86327i | 0.173648 | − | 0.984808i | ||||
\(82\) | 1.50000 | + | 2.59808i | 0.165647 | + | 0.286910i | ||||
\(83\) | 0.109470 | − | 0.189608i | 0.0120159 | − | 0.0208122i | −0.859955 | − | 0.510370i | \(-0.829508\pi\) |
0.871971 | + | 0.489558i | \(0.162842\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.726682 | + | 1.25865i | 0.0788197 | + | 0.136520i | ||||
\(86\) | −0.233956 | + | 0.405223i | −0.0252281 | + | 0.0436963i | ||||
\(87\) | −10.3191 | − | 1.81953i | −1.10632 | − | 0.195074i | ||||
\(88\) | −11.8439 | − | 20.5142i | −1.26256 | − | 2.18682i | ||||
\(89\) | −5.51367 | − | 9.54996i | −0.584448 | − | 1.01229i | −0.994944 | − | 0.100431i | \(-0.967978\pi\) |
0.410496 | − | 0.911862i | \(-0.365356\pi\) | |||||||
\(90\) | 1.15998 | + | 6.57856i | 0.122272 | + | 0.693441i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −6.97565 | + | 12.0822i | −0.727262 | + | 1.25965i | ||||
\(93\) | 2.69800 | + | 7.41268i | 0.279769 | + | 0.768660i | ||||
\(94\) | −2.58853 | −0.266986 | ||||||||
\(95\) | −2.12061 | −0.217570 | ||||||||
\(96\) | −2.72281 | − | 7.48086i | −0.277896 | − | 0.763512i | ||||
\(97\) | −6.25150 | + | 10.8279i | −0.634743 | + | 1.09941i | 0.351826 | + | 0.936065i | \(0.385561\pi\) |
−0.986569 | + | 0.163342i | \(0.947773\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.9363 | + | 3.98048i | 1.09914 | + | 0.400054i | ||||
\(100\) | 9.32295 | + | 16.1478i | 0.932295 | + | 1.61478i | ||||
\(101\) | 4.85844 | + | 8.41507i | 0.483433 | + | 0.837330i | 0.999819 | − | 0.0190255i | \(-0.00605638\pi\) |
−0.516386 | + | 0.856356i | \(0.672723\pi\) | |||||||
\(102\) | 7.13816 | + | 1.25865i | 0.706783 | + | 0.124625i | ||||
\(103\) | −3.29813 | + | 5.71253i | −0.324975 | + | 0.562873i | −0.981507 | − | 0.191425i | \(-0.938689\pi\) |
0.656533 | + | 0.754298i | \(0.272022\pi\) | |||||||
\(104\) | 16.6493 | + | 28.8374i | 1.63260 | + | 2.82774i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.23055 | + | 15.9878i | −0.896550 | + | 1.55287i | ||||
\(107\) | −1.19459 | − | 2.06910i | −0.115486 | − | 0.200027i | 0.802488 | − | 0.596668i | \(-0.203509\pi\) |
−0.917974 | + | 0.396641i | \(0.870176\pi\) | |||||||
\(108\) | 19.8516 | + | 11.4613i | 1.91022 | + | 1.10287i | ||||
\(109\) | −1.97906 | + | 3.42782i | −0.189559 | + | 0.328326i | −0.945103 | − | 0.326772i | \(-0.894039\pi\) |
0.755544 | + | 0.655098i | \(0.227373\pi\) | |||||||
\(110\) | −8.63816 | −0.823616 | ||||||||
\(111\) | 5.07057 | − | 6.04288i | 0.481278 | − | 0.573564i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.22668 | − | 14.2490i | −0.773901 | − | 1.34044i | −0.935410 | − | 0.353565i | \(-0.884969\pi\) |
0.161509 | − | 0.986871i | \(-0.448364\pi\) | |||||||
\(114\) | −6.79813 | + | 8.10170i | −0.636704 | + | 0.758794i | ||||
\(115\) | 1.39053 | + | 2.40847i | 0.129668 | + | 0.224591i | ||||
\(116\) | 13.3439 | − | 23.1123i | 1.23895 | − | 2.14592i | ||||
\(117\) | −15.3735 | − | 5.59548i | −1.42128 | − | 0.517302i | ||||
\(118\) | 16.8648 | 1.55253 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −9.15910 | − | 1.61500i | −0.836108 | − | 0.147428i | ||||
\(121\) | −2.02481 | + | 3.50708i | −0.184074 | + | 0.318826i | ||||
\(122\) | −6.57398 | −0.595180 | ||||||||
\(123\) | 1.31908 | − | 1.57202i | 0.118937 | − | 0.141744i | ||||
\(124\) | −20.0915 | −1.80427 | ||||||||
\(125\) | 8.11381 | 0.725721 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 17.6536 | 1.56651 | 0.783253 | − | 0.621702i | \(-0.213559\pi\) | ||||
0.783253 | + | 0.621702i | \(0.213559\pi\) | |||||||
\(128\) | −13.3405 | −1.17914 | ||||||||
\(129\) | 0.315207 | + | 0.0555796i | 0.0277525 | + | 0.00489351i | ||||
\(130\) | 12.1429 | 1.06500 | ||||||||
\(131\) | 9.59879 | − | 16.6256i | 0.838650 | − | 1.45259i | −0.0523729 | − | 0.998628i | \(-0.516678\pi\) |
0.891023 | − | 0.453958i | \(-0.149988\pi\) | |||||||
\(132\) | −19.0535 | + | 22.7071i | −1.65839 | + | 1.97640i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −7.49020 | −0.647055 | ||||||||
\(135\) | 3.95723 | − | 2.28471i | 0.340584 | − | 0.196637i | ||||
\(136\) | −5.04576 | + | 8.73951i | −0.432670 | + | 0.749407i | ||||
\(137\) | −9.07785 | − | 15.7233i | −0.775573 | − | 1.34333i | −0.934472 | − | 0.356037i | \(-0.884128\pi\) |
0.158899 | − | 0.987295i | \(-0.449206\pi\) | |||||||
\(138\) | 13.6591 | + | 2.40847i | 1.16274 | + | 0.205022i | ||||
\(139\) | −11.0287 | − | 19.1022i | −0.935441 | − | 1.62023i | −0.773846 | − | 0.633374i | \(-0.781670\pi\) |
−0.161595 | − | 0.986857i | \(-0.551664\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.605600 | + | 1.66387i | 0.0510007 | + | 0.140123i | ||||
\(142\) | −9.31820 | −0.781966 | ||||||||
\(143\) | 10.5778 | − | 18.3214i | 0.884564 | − | 1.53211i | ||||
\(144\) | −15.2554 | + | 12.8008i | −1.27128 | + | 1.06673i | ||||
\(145\) | −2.65998 | − | 4.60722i | −0.220899 | − | 0.382608i | ||||
\(146\) | 16.1814 | − | 28.0270i | 1.33918 | − | 2.31953i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.0458 | + | 17.3998i | 0.825756 | + | 1.43025i | ||||
\(149\) | 7.57785 | − | 13.1252i | 0.620802 | − | 1.07526i | −0.368535 | − | 0.929614i | \(-0.620141\pi\) |
0.989337 | − | 0.145646i | \(-0.0465261\pi\) | |||||||
\(150\) | 11.9153 | − | 14.2002i | 0.972884 | − | 1.15944i | ||||
\(151\) | 9.47818 | + | 16.4167i | 0.771323 | + | 1.33597i | 0.936838 | + | 0.349764i | \(0.113738\pi\) |
−0.165515 | + | 0.986207i | \(0.552929\pi\) | |||||||
\(152\) | −7.36231 | − | 12.7519i | −0.597162 | − | 1.03432i | ||||
\(153\) | −0.860967 | − | 4.88279i | −0.0696051 | − | 0.394750i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.00253 | + | 3.46848i | −0.160847 | + | 0.278595i | ||||
\(156\) | 26.7841 | − | 31.9200i | 2.14444 | − | 2.55564i | ||||
\(157\) | −18.0574 | −1.44114 | −0.720568 | − | 0.693385i | \(-0.756119\pi\) | ||||
−0.720568 | + | 0.693385i | \(0.756119\pi\) | |||||||
\(158\) | −15.0865 | −1.20021 | ||||||||
\(159\) | 12.4363 | + | 2.19285i | 0.986262 | + | 0.173905i | ||||
\(160\) | 2.02094 | − | 3.50038i | 0.159770 | − | 0.276729i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 3.95723 | − | 22.4426i | 0.310910 | − | 1.76326i | ||||
\(163\) | −0.479055 | − | 0.829748i | −0.0375225 | − | 0.0649909i | 0.846654 | − | 0.532143i | \(-0.178613\pi\) |
−0.884177 | + | 0.467152i | \(0.845280\pi\) | |||||||
\(164\) | 2.61334 | + | 4.52644i | 0.204068 | + | 0.353456i | ||||
\(165\) | 2.02094 | + | 5.55250i | 0.157330 | + | 0.432261i | ||||
\(166\) | 0.277189 | − | 0.480105i | 0.0215140 | − | 0.0372634i | ||||
\(167\) | −9.91921 | − | 17.1806i | −0.767572 | − | 1.32947i | −0.938876 | − | 0.344255i | \(-0.888131\pi\) |
0.171304 | − | 0.985218i | \(-0.445202\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.36959 | + | 14.4965i | −0.643814 | + | 1.11512i | ||||
\(170\) | 1.84002 | + | 3.18701i | 0.141123 | + | 0.244433i | ||||
\(171\) | 6.79813 | + | 2.47432i | 0.519866 | + | 0.189216i | ||||
\(172\) | −0.407604 | + | 0.705990i | −0.0310795 | + | 0.0538313i | ||||
\(173\) | 22.6827 | 1.72454 | 0.862268 | − | 0.506452i | \(-0.169043\pi\) | ||||
0.862268 | + | 0.506452i | \(0.169043\pi\) | |||||||
\(174\) | −26.1288 | − | 4.60722i | −1.98082 | − | 0.349272i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −12.8760 | − | 22.3019i | −0.970564 | − | 1.68107i | ||||
\(177\) | −3.94562 | − | 10.8405i | −0.296571 | − | 0.814823i | ||||
\(178\) | −13.9611 | − | 24.1813i | −1.04643 | − | 1.81247i | ||||
\(179\) | 3.67365 | − | 6.36295i | 0.274581 | − | 0.475589i | −0.695448 | − | 0.718576i | \(-0.744794\pi\) |
0.970029 | + | 0.242988i | \(0.0781274\pi\) | |||||||
\(180\) | 2.02094 | + | 11.4613i | 0.150632 | + | 0.854278i | ||||
\(181\) | −3.44562 | −0.256111 | −0.128056 | − | 0.991767i | \(-0.540874\pi\) | ||||
−0.128056 | + | 0.991767i | \(0.540874\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.53802 | + | 4.22567i | 0.113694 | + | 0.312371i | ||||
\(184\) | −9.65523 | + | 16.7233i | −0.711793 | + | 1.23286i | ||||
\(185\) | 4.00505 | 0.294457 | ||||||||
\(186\) | 6.83157 | + | 18.7696i | 0.500915 | + | 1.37625i | ||||
\(187\) | 6.41147 | 0.468853 | ||||||||
\(188\) | −4.50980 | −0.328911 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.36959 | −0.389551 | ||||||||
\(191\) | 5.65776 | 0.409381 | 0.204690 | − | 0.978827i | \(-0.434381\pi\) | ||||
0.204690 | + | 0.978827i | \(0.434381\pi\) | |||||||
\(192\) | 0.970437 | + | 2.66625i | 0.0700353 | + | 0.192420i | ||||
\(193\) | 9.59627 | 0.690754 | 0.345377 | − | 0.938464i | \(-0.387751\pi\) | ||||
0.345377 | + | 0.938464i | \(0.387751\pi\) | |||||||
\(194\) | −15.8293 | + | 27.4172i | −1.13648 | + | 1.96844i | ||||
\(195\) | −2.84090 | − | 7.80531i | −0.203441 | − | 0.558950i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.31996 | 0.592772 | 0.296386 | − | 0.955068i | \(-0.404218\pi\) | ||||
0.296386 | + | 0.955068i | \(0.404218\pi\) | |||||||
\(198\) | 27.6917 | + | 10.0789i | 1.96796 | + | 0.716279i | ||||
\(199\) | −3.29813 | + | 5.71253i | −0.233798 | + | 0.404951i | −0.958923 | − | 0.283667i | \(-0.908449\pi\) |
0.725124 | + | 0.688618i | \(0.241782\pi\) | |||||||
\(200\) | 12.9042 | + | 22.3507i | 0.912465 | + | 1.58044i | ||||
\(201\) | 1.75237 | + | 4.81461i | 0.123603 | + | 0.339596i | ||||
\(202\) | 12.3020 | + | 21.3077i | 0.865566 | + | 1.49920i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 12.4363 | + | 2.19285i | 0.870714 | + | 0.153530i | ||||
\(205\) | 1.04189 | 0.0727687 | ||||||||
\(206\) | −8.35117 | + | 14.4646i | −0.581853 | + | 1.00780i | ||||
\(207\) | −1.64749 | − | 9.34337i | −0.114508 | − | 0.649409i | ||||
\(208\) | 18.1001 | + | 31.3504i | 1.25502 | + | 2.17376i | ||||
\(209\) | −4.67752 | + | 8.10170i | −0.323551 | + | 0.560406i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.68479 | + | 2.91815i | 0.115986 | + | 0.200893i | 0.918173 | − | 0.396179i | \(-0.129664\pi\) |
−0.802188 | + | 0.597072i | \(0.796331\pi\) | |||||||
\(212\) | −16.0817 | + | 27.8544i | −1.10450 | + | 1.91304i | ||||
\(213\) | 2.18004 | + | 5.98962i | 0.149374 | + | 0.410402i | ||||
\(214\) | −3.02481 | − | 5.23913i | −0.206772 | − | 0.358140i | ||||
\(215\) | 0.0812519 | + | 0.140732i | 0.00554133 | + | 0.00959787i | ||||
\(216\) | 27.4773 | + | 15.8640i | 1.86959 | + | 1.07941i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −5.01114 | + | 8.67956i | −0.339398 | + | 0.587854i | ||||
\(219\) | −21.8011 | − | 3.84413i | −1.47318 | − | 0.259762i | ||||
\(220\) | −15.0496 | −1.01465 | ||||||||
\(221\) | −9.01279 | −0.606266 | ||||||||
\(222\) | 12.8391 | − | 15.3011i | 0.861707 | − | 1.02694i | ||||
\(223\) | 3.13816 | − | 5.43545i | 0.210146 | − | 0.363984i | −0.741614 | − | 0.670827i | \(-0.765939\pi\) |
0.951760 | + | 0.306843i | \(0.0992726\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −11.9153 | − | 4.33683i | −0.794356 | − | 0.289122i | ||||
\(226\) | −20.8307 | − | 36.0798i | −1.38564 | − | 2.39999i | ||||
\(227\) | 3.08125 | + | 5.33688i | 0.204510 | + | 0.354221i | 0.949976 | − | 0.312322i | \(-0.101107\pi\) |
−0.745467 | + | 0.666543i | \(0.767773\pi\) | |||||||
\(228\) | −11.8439 | + | 14.1150i | −0.784381 | + | 0.934789i | ||||
\(229\) | −11.6925 | + | 20.2521i | −0.772664 | + | 1.33829i | 0.163434 | + | 0.986554i | \(0.447743\pi\) |
−0.936098 | + | 0.351740i | \(0.885590\pi\) | |||||||
\(230\) | 3.52094 | + | 6.09845i | 0.232164 | + | 0.402120i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.4697 | − | 31.9905i | 1.21260 | − | 2.10028i | ||||
\(233\) | 4.26264 | + | 7.38311i | 0.279255 | + | 0.483684i | 0.971200 | − | 0.238267i | \(-0.0765792\pi\) |
−0.691945 | + | 0.721950i | \(0.743246\pi\) | |||||||
\(234\) | −38.9270 | − | 14.1683i | −2.54473 | − | 0.926208i | ||||
\(235\) | −0.449493 | + | 0.778544i | −0.0293217 | + | 0.0507866i | ||||
\(236\) | 29.3824 | 1.91263 | ||||||||
\(237\) | 3.52956 | + | 9.69739i | 0.229270 | + | 0.629913i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.28106 | − | 12.6112i | −0.470973 | − | 0.815748i | 0.528476 | − | 0.848948i | \(-0.322764\pi\) |
−0.999449 | + | 0.0331997i | \(0.989430\pi\) | |||||||
\(240\) | −9.95723 | − | 1.75573i | −0.642737 | − | 0.113332i | ||||
\(241\) | 2.70187 | + | 4.67977i | 0.174043 | + | 0.301451i | 0.939830 | − | 0.341644i | \(-0.110984\pi\) |
−0.765787 | + | 0.643094i | \(0.777650\pi\) | |||||||
\(242\) | −5.12701 | + | 8.88024i | −0.329577 | + | 0.570844i | ||||
\(243\) | −15.3516 | + | 2.70691i | −0.984808 | + | 0.173648i | ||||
\(244\) | −11.4534 | −0.733226 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 3.34002 | − | 3.98048i | 0.212952 | − | 0.253786i | ||||
\(247\) | 6.57532 | − | 11.3888i | 0.418378 | − | 0.724651i | ||||
\(248\) | −27.8093 | −1.76589 | ||||||||
\(249\) | −0.373455 | − | 0.0658503i | −0.0236668 | − | 0.00417309i | ||||
\(250\) | 20.5449 | 1.29937 | ||||||||
\(251\) | −12.0669 | −0.761654 | −0.380827 | − | 0.924646i | \(-0.624361\pi\) | ||||
−0.380827 | + | 0.924646i | \(0.624361\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.2686 | 0.771318 | ||||||||
\(254\) | 44.7006 | 2.80476 | ||||||||
\(255\) | 1.61809 | − | 1.92836i | 0.101329 | − | 0.120759i | ||||
\(256\) | −30.5030 | −1.90644 | ||||||||
\(257\) | −5.28312 | + | 9.15063i | −0.329552 | + | 0.570801i | −0.982423 | − | 0.186668i | \(-0.940231\pi\) |
0.652871 | + | 0.757469i | \(0.273564\pi\) | |||||||
\(258\) | 0.798133 | + | 0.140732i | 0.0496896 | + | 0.00876162i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 21.1557 | 1.31202 | ||||||||
\(261\) | 3.15152 | + | 17.8732i | 0.195074 | + | 1.10632i | ||||
\(262\) | 24.3050 | − | 42.0975i | 1.50157 | − | 2.60079i | ||||
\(263\) | 14.1766 | + | 24.5547i | 0.874169 | + | 1.51411i | 0.857645 | + | 0.514242i | \(0.171927\pi\) |
0.0165240 | + | 0.999863i | \(0.494740\pi\) | |||||||
\(264\) | −26.3726 | + | 31.4296i | −1.62312 | + | 1.93436i | ||||
\(265\) | 3.20574 | + | 5.55250i | 0.196927 | + | 0.341087i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.2772 | + | 14.6314i | −0.751352 | + | 0.895426i | ||||
\(268\) | −13.0496 | −0.797133 | ||||||||
\(269\) | −3.74170 | + | 6.48081i | −0.228135 | + | 0.395142i | −0.957255 | − | 0.289244i | \(-0.906596\pi\) |
0.729120 | + | 0.684386i | \(0.239930\pi\) | |||||||
\(270\) | 10.0201 | − | 5.78509i | 0.609802 | − | 0.352069i | ||||
\(271\) | −6.81908 | − | 11.8110i | −0.414229 | − | 0.717467i | 0.581118 | − | 0.813819i | \(-0.302616\pi\) |
−0.995347 | + | 0.0963530i | \(0.969282\pi\) | |||||||
\(272\) | −5.48545 | + | 9.50108i | −0.332604 | + | 0.576088i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −22.9859 | − | 39.8128i | −1.38863 | − | 2.40518i | ||||
\(275\) | 8.19846 | − | 14.2002i | 0.494386 | − | 0.856302i | ||||
\(276\) | 23.7973 | + | 4.19610i | 1.43243 | + | 0.252575i | ||||
\(277\) | 3.07532 | + | 5.32661i | 0.184778 | + | 0.320045i | 0.943502 | − | 0.331368i | \(-0.107510\pi\) |
−0.758724 | + | 0.651413i | \(0.774177\pi\) | |||||||
\(278\) | −27.9256 | − | 48.3686i | −1.67487 | − | 2.90095i | ||||
\(279\) | 10.4666 | − | 8.78249i | 0.626617 | − | 0.525794i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.65611 | + | 2.86846i | −0.0987951 | + | 0.171118i | −0.911186 | − | 0.411995i | \(-0.864832\pi\) |
0.812391 | + | 0.583113i | \(0.198165\pi\) | |||||||
\(282\) | 1.53343 | + | 4.21307i | 0.0913146 | + | 0.250885i | ||||
\(283\) | 29.0232 | 1.72525 | 0.862626 | − | 0.505843i | \(-0.168818\pi\) | ||||
0.862626 | + | 0.505843i | \(0.168818\pi\) | |||||||
\(284\) | −16.2344 | −0.963336 | ||||||||
\(285\) | 1.25624 | + | 3.45150i | 0.0744135 | + | 0.204449i | ||||
\(286\) | 26.7841 | − | 46.3913i | 1.58377 | − | 2.74318i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −10.5628 | + | 8.86327i | −0.622421 | + | 0.522273i | ||||
\(289\) | 7.13429 | + | 12.3569i | 0.419664 | + | 0.726879i | ||||
\(290\) | −6.73530 | − | 11.6659i | −0.395510 | − | 0.685044i | ||||
\(291\) | 21.3268 | + | 3.76049i | 1.25020 | + | 0.220444i | ||||
\(292\) | 28.1917 | − | 48.8294i | 1.64979 | − | 2.85752i | ||||
\(293\) | 4.20961 | + | 7.29125i | 0.245928 | + | 0.425960i | 0.962392 | − | 0.271664i | \(-0.0875740\pi\) |
−0.716464 | + | 0.697624i | \(0.754241\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.92855 | − | 5.07239i | 0.170507 | − | 0.295326i | ||||
\(296\) | 13.9047 | + | 24.0836i | 0.808192 | + | 1.39983i | ||||
\(297\) | − | 20.1579i | − | 1.16968i | ||||||
\(298\) | 19.1878 | − | 33.2342i | 1.11152 | − | 1.92521i | ||||
\(299\) | −17.2463 | −0.997378 | ||||||||
\(300\) | 20.7592 | − | 24.7399i | 1.19854 | − | 1.42836i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 23.9996 | + | 41.5685i | 1.38102 | + | 2.39200i | ||||
\(303\) | 10.8182 | − | 12.8926i | 0.621489 | − | 0.740662i | ||||
\(304\) | −8.00387 | − | 13.8631i | −0.459053 | − | 0.795104i | ||||
\(305\) | −1.14156 | + | 1.97724i | −0.0653655 | + | 0.113216i | ||||
\(306\) | −2.18004 | − | 12.3636i | −0.124625 | − | 0.706783i | ||||
\(307\) | −12.6878 | −0.724130 | −0.362065 | − | 0.932153i | \(-0.617928\pi\) | ||||
−0.362065 | + | 0.932153i | \(0.617928\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 11.2515 | + | 1.98394i | 0.640075 | + | 0.112863i | ||||
\(310\) | −5.07057 | + | 8.78249i | −0.287989 | + | 0.498812i | ||||
\(311\) | −16.4902 | −0.935073 | −0.467537 | − | 0.883974i | \(-0.654858\pi\) | ||||
−0.467537 | + | 0.883974i | \(0.654858\pi\) | |||||||
\(312\) | 37.0727 | − | 44.1815i | 2.09883 | − | 2.50129i | ||||
\(313\) | 28.5185 | 1.61196 | 0.805980 | − | 0.591943i | \(-0.201639\pi\) | ||||
0.805980 | + | 0.591943i | \(0.201639\pi\) | |||||||
\(314\) | −45.7229 | −2.58029 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −26.2841 | −1.47859 | ||||||||
\(317\) | −25.8949 | −1.45440 | −0.727200 | − | 0.686425i | \(-0.759179\pi\) | ||||
−0.727200 | + | 0.686425i | \(0.759179\pi\) | |||||||
\(318\) | 31.4898 | + | 5.55250i | 1.76586 | + | 0.311369i | ||||
\(319\) | −23.4688 | −1.31400 | ||||||||
\(320\) | −0.720285 | + | 1.24757i | −0.0402652 | + | 0.0697413i | ||||
\(321\) | −2.65998 | + | 3.17004i | −0.148465 | + | 0.176934i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.98545 | 0.221756 | ||||||||
\(324\) | 6.89440 | − | 39.1001i | 0.383022 | − | 2.17223i | ||||
\(325\) | −11.5248 | + | 19.9616i | −0.639282 | + | 1.10727i | ||||
\(326\) | −1.21301 | − | 2.10100i | −0.0671825 | − | 0.116363i | ||||
\(327\) | 6.75150 | + | 1.19047i | 0.373359 | + | 0.0658332i | ||||
\(328\) | 3.61721 | + | 6.26519i | 0.199727 | + | 0.345937i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 5.11721 | + | 14.0594i | 0.281693 | + | 0.773946i | ||||
\(331\) | 8.21894 | 0.451754 | 0.225877 | − | 0.974156i | \(-0.427475\pi\) | ||||
0.225877 | + | 0.974156i | \(0.427475\pi\) | |||||||
\(332\) | 0.482926 | − | 0.836452i | 0.0265040 | − | 0.0459063i | ||||
\(333\) | −12.8391 | − | 4.67307i | −0.703581 | − | 0.256082i | ||||
\(334\) | −25.1163 | − | 43.5028i | −1.37430 | − | 2.38037i | ||||
\(335\) | −1.30066 | + | 2.25281i | −0.0710626 | + | 0.123084i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.28564 | − | 3.95885i | −0.124507 | − | 0.215652i | 0.797033 | − | 0.603936i | \(-0.206402\pi\) |
−0.921540 | + | 0.388283i | \(0.873068\pi\) | |||||||
\(338\) | −21.1925 | + | 36.7065i | −1.15272 | + | 1.99657i | ||||
\(339\) | −18.3182 | + | 21.8308i | −0.994908 | + | 1.18569i | ||||
\(340\) | 3.20574 | + | 5.55250i | 0.173856 | + | 0.301127i | ||||
\(341\) | 8.83409 | + | 15.3011i | 0.478393 | + | 0.828601i | ||||
\(342\) | 17.2135 | + | 6.26519i | 0.930798 | + | 0.338783i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.564178 | + | 0.977185i | −0.0304184 | + | 0.0526863i | ||||
\(345\) | 3.09627 | − | 3.68999i | 0.166697 | − | 0.198662i | ||||
\(346\) | 57.4347 | 3.08771 | ||||||||
\(347\) | 22.4662 | 1.20605 | 0.603023 | − | 0.797724i | \(-0.293963\pi\) | ||||
0.603023 | + | 0.797724i | \(0.293963\pi\) | |||||||
\(348\) | −45.5223 | − | 8.02682i | −2.44025 | − | 0.430283i | ||||
\(349\) | −13.0496 | + | 22.6026i | −0.698531 | + | 1.20989i | 0.270445 | + | 0.962735i | \(0.412829\pi\) |
−0.968976 | + | 0.247155i | \(0.920504\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 28.3365i | 1.51249i | ||||||||
\(352\) | −8.91534 | − | 15.4418i | −0.475189 | − | 0.823052i | ||||
\(353\) | 0.177519 | + | 0.307471i | 0.00944836 | + | 0.0163650i | 0.870711 | − | 0.491795i | \(-0.163659\pi\) |
−0.861263 | + | 0.508160i | \(0.830326\pi\) | |||||||
\(354\) | −9.99067 | − | 27.4491i | −0.530998 | − | 1.45890i | ||||
\(355\) | −1.61809 | + | 2.80261i | −0.0858792 | + | 0.148747i | ||||
\(356\) | −24.3234 | − | 42.1294i | −1.28914 | − | 2.23285i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.30200 | − | 16.1115i | 0.491626 | − | 0.851522i | ||||
\(359\) | −2.72803 | − | 4.72508i | −0.143980 | − | 0.249380i | 0.785012 | − | 0.619480i | \(-0.212657\pi\) |
−0.928992 | + | 0.370100i | \(0.879323\pi\) | |||||||
\(360\) | 2.79726 | + | 15.8640i | 0.147428 | + | 0.836108i | ||||
\(361\) | 6.59240 | − | 11.4184i | 0.346968 | − | 0.600967i | ||||
\(362\) | −8.72462 | −0.458556 | ||||||||
\(363\) | 6.90760 | + | 1.21800i | 0.362555 | + | 0.0639283i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.61974 | − | 9.73367i | −0.294150 | − | 0.509484i | ||||
\(366\) | 3.89440 | + | 10.6998i | 0.203564 | + | 0.559286i | ||||
\(367\) | −5.46198 | − | 9.46043i | −0.285113 | − | 0.493830i | 0.687523 | − | 0.726162i | \(-0.258698\pi\) |
−0.972637 | + | 0.232332i | \(0.925364\pi\) | |||||||
\(368\) | −10.4966 | + | 18.1806i | −0.547173 | + | 0.947731i | ||||
\(369\) | −3.34002 | − | 1.21567i | −0.173875 | − | 0.0632852i | ||||
\(370\) | 10.1411 | 0.527213 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 11.9021 | + | 32.7009i | 0.617097 | + | 1.69546i | ||||
\(373\) | −0.865715 | + | 1.49946i | −0.0448250 | + | 0.0776392i | −0.887567 | − | 0.460678i | \(-0.847606\pi\) |
0.842742 | + | 0.538317i | \(0.180940\pi\) | |||||||
\(374\) | 16.2344 | 0.839462 | ||||||||
\(375\) | −4.80659 | − | 13.2060i | −0.248211 | − | 0.681955i | ||||
\(376\) | −6.24216 | −0.321915 | ||||||||
\(377\) | 32.9908 | 1.69911 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.1334 | −0.623251 | −0.311626 | − | 0.950205i | \(-0.600873\pi\) | ||||
−0.311626 | + | 0.950205i | \(0.600873\pi\) | |||||||
\(380\) | −9.35504 | −0.479903 | ||||||||
\(381\) | −10.4579 | − | 28.7330i | −0.535777 | − | 1.47204i | ||||
\(382\) | 14.3259 | 0.732979 | ||||||||
\(383\) | 4.35591 | − | 7.54467i | 0.222577 | − | 0.385514i | −0.733013 | − | 0.680215i | \(-0.761887\pi\) |
0.955590 | + | 0.294700i | \(0.0952198\pi\) | |||||||
\(384\) | 7.90286 | + | 21.7129i | 0.403291 | + | 1.10803i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 24.2986 | 1.23677 | ||||||||
\(387\) | −0.0962667 | − | 0.545955i | −0.00489351 | − | 0.0277525i | ||||
\(388\) | −27.5783 | + | 47.7670i | −1.40008 | + | 2.42500i | ||||
\(389\) | −1.82160 | − | 3.15511i | −0.0923590 | − | 0.159970i | 0.816144 | − | 0.577848i | \(-0.196107\pi\) |
−0.908503 | + | 0.417878i | \(0.862774\pi\) | |||||||
\(390\) | −7.19341 | − | 19.7637i | −0.364253 | − | 1.00078i | ||||
\(391\) | −2.61334 | − | 4.52644i | −0.132162 | − | 0.228912i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −32.7460 | − | 5.77401i | −1.65182 | − | 0.291260i | ||||
\(394\) | 21.0669 | 1.06133 | ||||||||
\(395\) | −2.61974 | + | 4.53752i | −0.131813 | + | 0.228307i | ||||
\(396\) | 48.2452 | + | 17.5598i | 2.42441 | + | 0.882413i | ||||
\(397\) | 7.72281 | + | 13.3763i | 0.387597 | + | 0.671337i | 0.992126 | − | 0.125246i | \(-0.0399720\pi\) |
−0.604529 | + | 0.796583i | \(0.706639\pi\) | |||||||
\(398\) | −8.35117 | + | 14.4646i | −0.418606 | + | 0.725047i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.0287 | + | 24.2984i | 0.701434 | + | 1.21492i | ||||
\(401\) | −9.21095 | + | 15.9538i | −0.459973 | + | 0.796697i | −0.998959 | − | 0.0456182i | \(-0.985474\pi\) |
0.538986 | + | 0.842315i | \(0.318808\pi\) | |||||||
\(402\) | 4.43717 | + | 12.1910i | 0.221306 | + | 0.608033i | ||||
\(403\) | −12.4183 | − | 21.5092i | −0.618601 | − | 1.07145i | ||||
\(404\) | 21.4329 | + | 37.1228i | 1.06633 | + | 1.84693i | ||||
\(405\) | −6.06283 | − | 5.08732i | −0.301265 | − | 0.252791i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.83409 | − | 15.3011i | 0.437890 | − | 0.758447i | ||||
\(408\) | 17.2135 | + | 3.03520i | 0.852194 | + | 0.150265i | ||||
\(409\) | −28.6364 | −1.41598 | −0.707989 | − | 0.706223i | \(-0.750398\pi\) | ||||
−0.707989 | + | 0.706223i | \(0.750398\pi\) | |||||||
\(410\) | 2.63816 | 0.130289 | ||||||||
\(411\) | −20.2135 | + | 24.0895i | −0.997057 | + | 1.18825i | ||||
\(412\) | −14.5496 | + | 25.2007i | −0.716809 | + | 1.24155i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −4.17159 | − | 23.6583i | −0.205022 | − | 1.16274i | ||||
\(415\) | −0.0962667 | − | 0.166739i | −0.00472554 | − | 0.00818488i | ||||
\(416\) | 12.5326 | + | 21.7070i | 0.614459 | + | 1.06427i | ||||
\(417\) | −24.5574 | + | 29.2663i | −1.20258 | + | 1.43318i | ||||
\(418\) | −11.8439 | + | 20.5142i | −0.579304 | + | 1.00338i | ||||
\(419\) | 17.3478 | + | 30.0472i | 0.847494 | + | 1.46790i | 0.883438 | + | 0.468548i | \(0.155223\pi\) |
−0.0359442 | + | 0.999354i | \(0.511444\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.7010 | − | 23.7308i | 0.667745 | − | 1.15657i | −0.310788 | − | 0.950479i | \(-0.600593\pi\) |
0.978533 | − | 0.206090i | \(-0.0660738\pi\) | |||||||
\(422\) | 4.26604 | + | 7.38901i | 0.207668 | + | 0.359691i | ||||
\(423\) | 2.34936 | − | 1.97134i | 0.114230 | − | 0.0958500i | ||||
\(424\) | −22.2592 | + | 38.5541i | −1.08100 | + | 1.87235i | ||||
\(425\) | −6.98545 | −0.338844 | ||||||||
\(426\) | 5.52007 | + | 15.1663i | 0.267448 | + | 0.734808i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −5.26991 | − | 9.12776i | −0.254731 | − | 0.441207i | ||||
\(429\) | −36.0861 | − | 6.36295i | −1.74225 | − | 0.307206i | ||||
\(430\) | 0.205737 | + | 0.356347i | 0.00992152 | + | 0.0171846i | ||||
\(431\) | −13.2961 | + | 23.0295i | −0.640449 | + | 1.10929i | 0.344883 | + | 0.938646i | \(0.387919\pi\) |
−0.985333 | + | 0.170645i | \(0.945415\pi\) | |||||||
\(432\) | 29.8717 | + | 17.2464i | 1.43720 | + | 0.829769i | ||||
\(433\) | 37.1830 | 1.78690 | 0.893451 | − | 0.449160i | \(-0.148277\pi\) | ||||
0.893451 | + | 0.449160i | \(0.148277\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.92292 | + | 7.05866i | −0.283982 | + | 0.338437i | ||||
\(436\) | −8.73055 | + | 15.1218i | −0.418118 | + | 0.724201i | ||||
\(437\) | 7.62630 | 0.364815 | ||||||||
\(438\) | −55.2024 | − | 9.73367i | −2.63767 | − | 0.465093i | ||||
\(439\) | 25.0746 | 1.19675 | 0.598373 | − | 0.801218i | \(-0.295814\pi\) | ||||
0.598373 | + | 0.801218i | \(0.295814\pi\) | |||||||
\(440\) | −20.8307 | −0.993064 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −22.8212 | −1.08549 | ||||||||
\(443\) | 2.04458 | 0.0971408 | 0.0485704 | − | 0.998820i | \(-0.484533\pi\) | ||||
0.0485704 | + | 0.998820i | \(0.484533\pi\) | |||||||
\(444\) | 22.3687 | − | 26.6580i | 1.06157 | − | 1.26513i | ||||
\(445\) | −9.69728 | −0.459695 | ||||||||
\(446\) | 7.94609 | − | 13.7630i | 0.376258 | − | 0.651698i | ||||
\(447\) | −25.8516 | − | 4.55834i | −1.22274 | − | 0.215602i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −10.2344 | −0.482992 | −0.241496 | − | 0.970402i | \(-0.577638\pi\) | ||||
−0.241496 | + | 0.970402i | \(0.577638\pi\) | |||||||
\(450\) | −30.1707 | − | 10.9812i | −1.42226 | − | 0.517661i | ||||
\(451\) | 2.29813 | − | 3.98048i | 0.108215 | − | 0.187434i | ||||
\(452\) | −36.2918 | − | 62.8592i | −1.70702 | − | 2.95665i | ||||
\(453\) | 21.1049 | − | 25.1518i | 0.991594 | − | 1.18174i | ||||
\(454\) | 7.80200 | + | 13.5135i | 0.366166 | + | 0.634218i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −16.3935 | + | 19.5370i | −0.767697 | + | 0.914906i | ||||
\(457\) | −42.5945 | −1.99249 | −0.996244 | − | 0.0865948i | \(-0.972401\pi\) | ||||
−0.996244 | + | 0.0865948i | \(0.972401\pi\) | |||||||
\(458\) | −29.6065 | + | 51.2800i | −1.38342 | + | 2.39616i | ||||
\(459\) | −7.43717 | + | 4.29385i | −0.347137 | + | 0.200420i | ||||
\(460\) | 6.13429 | + | 10.6249i | 0.286013 | + | 0.495388i | ||||
\(461\) | −0.252374 | + | 0.437124i | −0.0117542 | + | 0.0203589i | −0.871843 | − | 0.489786i | \(-0.837075\pi\) |
0.860088 | + | 0.510145i | \(0.170408\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.34002 | − | 2.32099i | −0.0622761 | − | 0.107865i | 0.833206 | − | 0.552962i | \(-0.186503\pi\) |
−0.895482 | + | 0.445097i | \(0.853169\pi\) | |||||||
\(464\) | 20.0792 | − | 34.7782i | 0.932153 | − | 1.61454i | ||||
\(465\) | 6.83157 | + | 1.20459i | 0.316806 | + | 0.0558615i | ||||
\(466\) | 10.7934 | + | 18.6947i | 0.499994 | + | 0.866015i | ||||
\(467\) | 15.7083 | + | 27.2075i | 0.726892 | + | 1.25901i | 0.958191 | + | 0.286131i | \(0.0923691\pi\) |
−0.231299 | + | 0.972883i | \(0.574298\pi\) | |||||||
\(468\) | −67.8196 | − | 24.6843i | −3.13496 | − | 1.14103i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −1.13816 | + | 1.97134i | −0.0524992 | + | 0.0909313i | ||||
\(471\) | 10.6971 | + | 29.3901i | 0.492897 | + | 1.35422i | ||||
\(472\) | 40.6691 | 1.87195 | ||||||||
\(473\) | 0.716881 | 0.0329622 | ||||||||
\(474\) | 8.93717 | + | 24.5547i | 0.410498 | + | 1.12783i | ||||
\(475\) | 5.09627 | − | 8.82699i | 0.233833 | − | 0.405010i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.79813 | − | 21.5403i | −0.173905 | − | 0.986262i | ||||
\(478\) | −18.4363 | − | 31.9326i | −0.843256 | − | 1.46056i | ||||
\(479\) | 8.22028 | + | 14.2380i | 0.375594 | + | 0.650549i | 0.990416 | − | 0.138118i | \(-0.0441052\pi\) |
−0.614821 | + | 0.788666i | \(0.710772\pi\) | |||||||
\(480\) | −6.89440 | − | 1.21567i | −0.314685 | − | 0.0554874i | ||||
\(481\) | −12.4183 | + | 21.5092i | −0.566227 | + | 0.980735i | ||||
\(482\) | 6.84137 | + | 11.8496i | 0.311616 | + | 0.539734i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.93242 | + | 15.4714i | −0.406019 | + | 0.703246i | ||||
\(485\) | 5.49747 | + | 9.52190i | 0.249627 | + | 0.432367i | ||||
\(486\) | −38.8717 | + | 6.85413i | −1.76326 | + | 0.310910i | ||||
\(487\) | 1.48767 | − | 2.57673i | 0.0674129 | − | 0.116763i | −0.830349 | − | 0.557244i | \(-0.811859\pi\) |
0.897762 | + | 0.440481i | \(0.145192\pi\) | |||||||
\(488\) | −15.8530 | −0.717631 | ||||||||
\(489\) | −1.06670 | + | 1.27125i | −0.0482380 | + | 0.0574878i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.2430 | + | 22.9376i | 0.597650 | + | 1.03516i | 0.993167 | + | 0.116702i | \(0.0372321\pi\) |
−0.395517 | + | 0.918459i | \(0.629435\pi\) | |||||||
\(492\) | 5.81908 | − | 6.93491i | 0.262344 | − | 0.312650i | ||||
\(493\) | 4.99912 | + | 8.65873i | 0.225149 | + | 0.389970i | ||||
\(494\) | 16.6493 | − | 28.8374i | 0.749087 | − | 1.29746i | ||||
\(495\) | 7.84002 | − | 6.57856i | 0.352383 | − | 0.295684i | ||||
\(496\) | −30.2327 | −1.35749 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −0.945622 | − | 0.166739i | −0.0423744 | − | 0.00747174i | ||||
\(499\) | 6.72193 | − | 11.6427i | 0.300915 | − | 0.521200i | −0.675428 | − | 0.737426i | \(-0.736041\pi\) |
0.976343 | + | 0.216225i | \(0.0693746\pi\) | |||||||
\(500\) | 35.7939 | 1.60075 | ||||||||
\(501\) | −22.0869 | + | 26.3222i | −0.986771 | + | 1.17599i | ||||
\(502\) | −30.5544 | −1.36371 | ||||||||
\(503\) | −22.6631 | −1.01050 | −0.505250 | − | 0.862973i | \(-0.668600\pi\) | ||||
−0.505250 | + | 0.862973i | \(0.668600\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.54488 | 0.380242 | ||||||||
\(506\) | 31.0651 | 1.38101 | ||||||||
\(507\) | 28.5526 | + | 5.03460i | 1.26807 | + | 0.223594i | ||||
\(508\) | 77.8786 | 3.45530 | ||||||||
\(509\) | −4.77379 | + | 8.26844i | −0.211594 | + | 0.366492i | −0.952214 | − | 0.305433i | \(-0.901199\pi\) |
0.740619 | + | 0.671925i | \(0.234532\pi\) | |||||||
\(510\) | 4.09714 | − | 4.88279i | 0.181425 | − | 0.216213i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −50.5553 | −2.23425 | ||||||||
\(513\) | − | 12.5304i | − | 0.553230i | ||||||
\(514\) | −13.3773 | + | 23.1702i | −0.590049 | + | 1.02199i | ||||
\(515\) | 2.90033 | + | 5.02352i | 0.127804 | + | 0.221363i | ||||
\(516\) | 1.39053 | + | 0.245188i | 0.0612147 | + | 0.0107938i | ||||
\(517\) | 1.98293 | + | 3.43453i | 0.0872090 | + | 0.151050i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −13.4372 | − | 36.9183i | −0.589826 | − | 1.62053i | ||||
\(520\) | 29.2823 | 1.28411 | ||||||||
\(521\) | 1.55644 | − | 2.69583i | 0.0681887 | − | 0.118106i | −0.829915 | − | 0.557889i | \(-0.811611\pi\) |
0.898104 | + | 0.439783i | \(0.144945\pi\) | |||||||
\(522\) | 7.97993 | + | 45.2564i | 0.349272 | + | 1.98082i | ||||
\(523\) | 8.07444 | + | 13.9853i | 0.353071 | + | 0.611537i | 0.986786 | − | 0.162030i | \(-0.0518041\pi\) |
−0.633715 | + | 0.773567i | \(0.718471\pi\) | |||||||
\(524\) | 42.3448 | − | 73.3434i | 1.84984 | − | 3.20402i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 35.8965 | + | 62.1746i | 1.56516 | + | 2.71094i | ||||
\(527\) | 3.76352 | − | 6.51860i | 0.163941 | − | 0.283955i | ||||
\(528\) | −28.6707 | + | 34.1684i | −1.24773 | + | 1.48699i | ||||
\(529\) | 6.49928 | + | 11.2571i | 0.282578 | + | 0.489439i | ||||
\(530\) | 8.11721 | + | 14.0594i | 0.352589 | + | 0.610702i | ||||
\(531\) | −15.3066 | + | 12.8438i | −0.664249 | + | 0.557371i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.23055 | + | 5.59548i | −0.139931 | + | 0.242367i | ||||
\(534\) | −31.0869 | + | 37.0480i | −1.34526 | + | 1.60322i | ||||
\(535\) | −2.10101 | −0.0908348 | ||||||||
\(536\) | −18.0624 | −0.780178 | ||||||||
\(537\) | −12.5326 | − | 2.20983i | −0.540820 | − | 0.0953611i | ||||
\(538\) | −9.47431 | + | 16.4100i | −0.408466 | + | 0.707485i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 17.4572 | − | 10.0789i | 0.751240 | − | 0.433728i | ||||
\(541\) | 2.50774 | + | 4.34353i | 0.107816 | + | 0.186743i | 0.914885 | − | 0.403714i | \(-0.132281\pi\) |
−0.807069 | + | 0.590457i | \(0.798948\pi\) | |||||||
\(542\) | −17.2665 | − | 29.9065i | −0.741660 | − | 1.28459i | ||||
\(543\) | 2.04117 | + | 5.60808i | 0.0875952 | + | 0.240666i | ||||
\(544\) | −3.79813 | + | 6.57856i | −0.162844 | + | 0.282053i | ||||
\(545\) | 1.74035 | + | 3.01438i | 0.0745485 | + | 0.129122i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.23901 | + | 14.2704i | −0.352275 | + | 0.610157i | −0.986648 | − | 0.162870i | \(-0.947925\pi\) |
0.634373 | + | 0.773027i | \(0.281258\pi\) | |||||||
\(548\) | −40.0467 | − | 69.3629i | −1.71071 | − | 2.96304i | ||||
\(549\) | 5.96657 | − | 5.00654i | 0.254647 | − | 0.213674i | ||||
\(550\) | 20.7592 | − | 35.9561i | 0.885177 | − | 1.53317i | ||||
\(551\) | −14.5885 | −0.621492 | ||||||||
\(552\) | 32.9386 | + | 5.80796i | 1.40196 | + | 0.247203i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 7.78699 | + | 13.4875i | 0.330837 | + | 0.573027i | ||||
\(555\) | −2.37258 | − | 6.51860i | −0.100710 | − | 0.276699i | ||||
\(556\) | −48.6528 | − | 84.2691i | −2.06334 | − | 3.57380i | ||||
\(557\) | 17.2815 | − | 29.9325i | 0.732242 | − | 1.26828i | −0.223681 | − | 0.974662i | \(-0.571807\pi\) |
0.955923 | − | 0.293618i | \(-0.0948592\pi\) | |||||||
\(558\) | 26.5023 | − | 22.2381i | 1.12193 | − | 0.941412i | ||||
\(559\) | −1.00774 | −0.0426229 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.79813 | − | 10.4353i | −0.160357 | − | 0.440578i | ||||
\(562\) | −4.19341 | + | 7.26320i | −0.176888 | + | 0.306380i | ||||
\(563\) | −37.2104 | −1.56823 | −0.784115 | − | 0.620615i | \(-0.786883\pi\) | ||||
−0.784115 | + | 0.620615i | \(0.786883\pi\) | |||||||
\(564\) | 2.67159 | + | 7.34013i | 0.112494 | + | 0.309075i | ||||
\(565\) | −14.4688 | −0.608709 | ||||||||
\(566\) | 73.4894 | 3.08899 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −22.4706 | −0.942845 | ||||||||
\(569\) | 0.404667 | 0.0169645 | 0.00848226 | − | 0.999964i | \(-0.497300\pi\) | ||||
0.00848226 | + | 0.999964i | \(0.497300\pi\) | |||||||
\(570\) | 3.18092 | + | 8.73951i | 0.133234 | + | 0.366058i | ||||
\(571\) | −37.7793 | −1.58101 | −0.790507 | − | 0.612453i | \(-0.790183\pi\) | ||||
−0.790507 | + | 0.612453i | \(0.790183\pi\) | |||||||
\(572\) | 46.6639 | − | 80.8243i | 1.95112 | − | 3.37943i | ||||
\(573\) | −3.35163 | − | 9.20854i | −0.140017 | − | 0.384692i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −13.3669 | −0.557438 | ||||||||
\(576\) | 3.76470 | − | 3.15896i | 0.156863 | − | 0.131623i | ||||
\(577\) | 1.10560 | − | 1.91496i | 0.0460267 | − | 0.0797206i | −0.842094 | − | 0.539330i | \(-0.818677\pi\) |
0.888121 | + | 0.459610i | \(0.152011\pi\) | |||||||
\(578\) | 18.0646 | + | 31.2889i | 0.751390 | + | 1.30145i | ||||
\(579\) | −5.68479 | − | 15.6188i | −0.236252 | − | 0.649097i | ||||
\(580\) | −11.7344 | − | 20.3246i | −0.487245 | − | 0.843934i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 54.0014 | + | 9.52190i | 2.23843 | + | 0.394696i | ||||
\(583\) | 28.2841 | 1.17141 | ||||||||
\(584\) | 39.0210 | − | 67.5864i | 1.61470 | − | 2.79674i | ||||
\(585\) | −11.0209 | + | 9.24767i | −0.455660 | + | 0.382344i | ||||
\(586\) | 10.6591 | + | 18.4621i | 0.440323 | + | 0.762662i | ||||
\(587\) | −12.1049 | + | 20.9663i | −0.499622 | + | 0.865371i | −1.00000 | 0.000436347i | \(-0.999861\pi\) | |
0.500378 | + | 0.865807i | \(0.333194\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.49138 | + | 9.51135i | 0.226268 | + | 0.391908i | ||||
\(590\) | 7.41534 | − | 12.8438i | 0.305285 | − | 0.528769i | ||||
\(591\) | −4.92871 | − | 13.5415i | −0.202740 | − | 0.557024i | ||||
\(592\) | 15.1163 | + | 26.1823i | 0.621277 | + | 1.07608i | ||||
\(593\) | −6.11927 | − | 10.5989i | −0.251288 | − | 0.435244i | 0.712592 | − | 0.701578i | \(-0.247521\pi\) |
−0.963881 | + | 0.266334i | \(0.914188\pi\) | |||||||
\(594\) | − | 51.0415i | − | 2.09426i | ||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 33.4295 | − | 57.9016i | 1.36932 | − | 2.37174i | ||||
\(597\) | 11.2515 | + | 1.98394i | 0.460493 | + | 0.0811974i | ||||
\(598\) | −43.6691 | −1.78576 | ||||||||
\(599\) | 39.6168 | 1.61870 | 0.809349 | − | 0.587328i | \(-0.199820\pi\) | ||||
0.809349 | + | 0.587328i | \(0.199820\pi\) | |||||||
\(600\) | 28.7335 | − | 34.2433i | 1.17304 | − | 1.39798i | ||||
\(601\) | 15.0039 | − | 25.9875i | 0.612021 | − | 1.06005i | −0.378879 | − | 0.925446i | \(-0.623690\pi\) |
0.990899 | − | 0.134605i | \(-0.0429764\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.79813 | − | 5.70431i | 0.276841 | − | 0.232298i | ||||
\(604\) | 41.8127 | + | 72.4218i | 1.70134 | + | 2.94680i | ||||
\(605\) | 1.78059 | + | 3.08408i | 0.0723914 | + | 0.125386i | ||||
\(606\) | 27.3926 | − | 32.6453i | 1.11275 | − | 1.32612i | ||||
\(607\) | 9.74216 | − | 16.8739i | 0.395422 | − | 0.684891i | −0.597733 | − | 0.801695i | \(-0.703932\pi\) |
0.993155 | + | 0.116804i | \(0.0372650\pi\) | |||||||
\(608\) | −5.54189 | − | 9.59883i | −0.224753 | − | 0.389284i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.89053 | + | 5.00654i | −0.117034 | + | 0.202709i | ||||
\(611\) | −2.78746 | − | 4.82802i | −0.112768 | − | 0.195321i | ||||
\(612\) | −3.79813 | − | 21.5403i | −0.153530 | − | 0.870714i | ||||
\(613\) | 9.26382 | − | 16.0454i | 0.374162 | − | 0.648068i | −0.616039 | − | 0.787716i | \(-0.711264\pi\) |
0.990201 | + | 0.139648i | \(0.0445970\pi\) | |||||||
\(614\) | −32.1266 | −1.29652 | ||||||||
\(615\) | −0.617211 | − | 1.69577i | −0.0248884 | − | 0.0683802i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.9201 | − | 24.1103i | −0.560402 | − | 0.970644i | −0.997461 | − | 0.0712118i | \(-0.977313\pi\) |
0.437059 | − | 0.899433i | \(-0.356020\pi\) | |||||||
\(618\) | 28.4898 | + | 5.02352i | 1.14603 | + | 0.202076i | ||||
\(619\) | 22.4907 | + | 38.9550i | 0.903976 | + | 1.56573i | 0.822286 | + | 0.569075i | \(0.192699\pi\) |
0.0816906 | + | 0.996658i | \(0.473968\pi\) | |||||||
\(620\) | −8.83409 | + | 15.3011i | −0.354786 | + | 0.614507i | ||||
\(621\) | −14.2313 | + | 8.21643i | −0.571081 | + | 0.329714i | ||||
\(622\) | −41.7547 | −1.67421 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 40.3032 | − | 48.0315i | 1.61342 | − | 1.92280i | ||||
\(625\) | −6.99912 | + | 12.1228i | −0.279965 | + | 0.484913i | ||||
\(626\) | 72.2113 | 2.88614 | ||||||||
\(627\) | 15.9572 | + | 2.81369i | 0.637271 | + | 0.112368i | ||||
\(628\) | −79.6596 | −3.17877 | ||||||||
\(629\) | −7.52704 | −0.300123 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.43613 | 0.375646 | 0.187823 | − | 0.982203i | \(-0.439857\pi\) | ||||
0.187823 | + | 0.982203i | \(0.439857\pi\) | |||||||
\(632\) | −36.3806 | −1.44714 | ||||||||
\(633\) | 3.75150 | − | 4.47086i | 0.149109 | − | 0.177701i | ||||
\(634\) | −65.5681 | −2.60404 | ||||||||
\(635\) | 7.76217 | − | 13.4445i | 0.308032 | − | 0.533528i | ||||
\(636\) | 54.8624 | + | 9.67372i | 2.17543 | + | 0.383588i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −59.4252 | −2.35267 | ||||||||
\(639\) | 8.45723 | − | 7.09646i | 0.334563 | − | 0.280732i | ||||
\(640\) | −5.86571 | + | 10.1597i | −0.231863 | + | 0.401598i | ||||
\(641\) | −18.6951 | − | 32.3808i | −0.738410 | − | 1.27896i | −0.953211 | − | 0.302306i | \(-0.902243\pi\) |
0.214800 | − | 0.976658i | \(-0.431090\pi\) | |||||||
\(642\) | −6.73530 | + | 8.02682i | −0.265821 | + | 0.316793i | ||||
\(643\) | −0.805874 | − | 1.39581i | −0.0317806 | − | 0.0550456i | 0.849698 | − | 0.527270i | \(-0.176784\pi\) |
−0.881478 | + | 0.472225i | \(0.843451\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.180922 | − | 0.215615i | 0.00712380 | − | 0.00848982i | ||||
\(646\) | 10.0915 | 0.397046 | ||||||||
\(647\) | 20.5881 | − | 35.6597i | 0.809402 | − | 1.40193i | −0.103876 | − | 0.994590i | \(-0.533125\pi\) |
0.913278 | − | 0.407336i | \(-0.133542\pi\) | |||||||
\(648\) | 9.54277 | − | 54.1197i | 0.374875 | − | 2.12602i | ||||
\(649\) | −12.9192 | − | 22.3767i | −0.507124 | − | 0.878364i | ||||
\(650\) | −29.1819 | + | 50.5445i | −1.14461 | + | 1.98252i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.11334 | − | 3.66041i | −0.0827648 | − | 0.143353i | ||||
\(653\) | −1.52600 | + | 2.64310i | −0.0597169 | + | 0.103433i | −0.894338 | − | 0.447391i | \(-0.852353\pi\) |
0.834621 | + | 0.550824i | \(0.185686\pi\) | |||||||
\(654\) | 17.0954 | + | 3.01438i | 0.668483 | + | 0.117872i | ||||
\(655\) | −8.44104 | − | 14.6203i | −0.329819 | − | 0.571263i | ||||
\(656\) | 3.93242 | + | 6.81115i | 0.153535 | + | 0.265931i | ||||
\(657\) | 6.65822 | + | 37.7607i | 0.259762 | + | 1.47318i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −20.8175 | + | 36.0569i | −0.810934 | + | 1.40458i | 0.101277 | + | 0.994858i | \(0.467707\pi\) |
−0.912211 | + | 0.409721i | \(0.865626\pi\) | |||||||
\(660\) | 8.91534 | + | 24.4947i | 0.347029 | + | 0.953455i | ||||
\(661\) | 20.3010 | 0.789616 | 0.394808 | − | 0.918764i | \(-0.370811\pi\) | ||||
0.394808 | + | 0.918764i | \(0.370811\pi\) | |||||||
\(662\) | 20.8111 | 0.808846 | ||||||||
\(663\) | 5.33915 | + | 14.6692i | 0.207355 | + | 0.569704i | ||||
\(664\) | 0.668434 | − | 1.15776i | 0.0259403 | − | 0.0449298i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −32.5099 | − | 11.8326i | −1.25973 | − | 0.458505i | ||||
\(667\) | 9.56599 | + | 16.5688i | 0.370397 | + | 0.641546i | ||||
\(668\) | −43.7584 | − | 75.7917i | −1.69306 | − | 2.93247i | ||||
\(669\) | −10.7057 | − | 1.88771i | −0.413908 | − | 0.0729831i | ||||
\(670\) | −3.29339 | + | 5.70431i | −0.127235 | + | 0.220377i | ||||
\(671\) | 5.03596 | + | 8.72254i | 0.194411 | + | 0.336730i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.415345 | − | 0.719398i | 0.0160104 | − | 0.0277307i | −0.857909 | − | 0.513801i | \(-0.828237\pi\) |
0.873920 | + | 0.486071i | \(0.161570\pi\) | |||||||
\(674\) | −5.78746 | − | 10.0242i | −0.222924 | − | 0.386117i | ||||
\(675\) | 21.9625i | 0.845336i | ||||||||
\(676\) | −36.9222 | + | 63.9511i | −1.42008 | + | 2.45966i | ||||
\(677\) | 10.8672 | 0.417660 | 0.208830 | − | 0.977952i | \(-0.433034\pi\) | ||||
0.208830 | + | 0.977952i | \(0.433034\pi\) | |||||||
\(678\) | −46.3833 | + | 55.2775i | −1.78134 | + | 2.12292i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.43717 | + | 7.68540i | 0.170158 | + | 0.294722i | ||||
\(681\) | 6.86097 | − | 8.17658i | 0.262913 | − | 0.313327i | ||||
\(682\) | 22.3687 | + | 38.7437i | 0.856542 | + | 1.48357i | ||||
\(683\) | −16.3473 | + | 28.3143i | −0.625512 | + | 1.08342i | 0.362930 | + | 0.931817i | \(0.381777\pi\) |
−0.988442 | + | 0.151602i | \(0.951557\pi\) | |||||||
\(684\) | 29.9898 | + | 10.9154i | 1.14669 | + | 0.417360i | ||||
\(685\) | −15.9659 | −0.610024 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 39.8888 | + | 7.03347i | 1.52185 | + | 0.268344i | ||||
\(688\) | −0.613341 | + | 1.06234i | −0.0233834 | + | 0.0405012i | ||||
\(689\) | −39.7597 | −1.51472 | ||||||||
\(690\) | 7.84002 | − | 9.34337i | 0.298465 | − | 0.355696i | ||||
\(691\) | 14.9982 | 0.570560 | 0.285280 | − | 0.958444i | \(-0.407913\pi\) | ||||
0.285280 | + | 0.958444i | \(0.407913\pi\) | |||||||
\(692\) | 100.064 | 3.80387 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 56.8863 | 2.15937 | ||||||||
\(695\) | −19.3969 | −0.735767 | ||||||||
\(696\) | −63.0090 | − | 11.1102i | −2.38835 | − | 0.421130i | ||||
\(697\) | −1.95811 | −0.0741687 | ||||||||
\(698\) | −33.0428 | + | 57.2318i | −1.25069 | + | 2.16626i | ||||
\(699\) | 9.49154 | − | 11.3116i | 0.359003 | − | 0.427843i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 26.4688 | 0.999714 | 0.499857 | − | 0.866108i | \(-0.333386\pi\) | ||||
0.499857 | + | 0.866108i | \(0.333386\pi\) | |||||||
\(702\) | 71.7506i | 2.70805i | ||||||||
\(703\) | 5.49138 | − | 9.51135i | 0.207111 | − | 0.358727i | ||||
\(704\) | 3.17752 | + | 5.50362i | 0.119757 | + | 0.207426i | ||||
\(705\) | 1.53343 | + | 0.270386i | 0.0577524 | + | 0.0101833i | ||||
\(706\) | 0.449493 | + | 0.778544i | 0.0169169 | + | 0.0293009i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −17.4060 | − | 47.8226i | −0.654158 | − | 1.79728i | ||||
\(709\) | 15.3601 | 0.576860 | 0.288430 | − | 0.957501i | \(-0.406867\pi\) | ||||
0.288430 | + | 0.957501i | \(0.406867\pi\) | |||||||
\(710\) | −4.09714 | + | 7.09646i | −0.153763 | + | 0.266325i | ||||
\(711\) | 13.6925 | − | 11.4894i | 0.513510 | − | 0.430886i | ||||
\(712\) | −33.6668 | − | 58.3127i | −1.26172 | − | 2.18536i | ||||
\(713\) | 7.20162 | − | 12.4736i | 0.269703 | − | 0.467139i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.30200 | − | 16.1115i | −0.347875 | − | 0.602538i | ||||
\(716\) | 16.2062 | − | 28.0700i | 0.605654 | − | 1.04902i | ||||
\(717\) | −16.2126 | + | 19.3214i | −0.605471 | + | 0.721572i | ||||
\(718\) | −6.90760 | − | 11.9643i | −0.257789 | − | 0.446504i | ||||
\(719\) | −13.3653 | − | 23.1494i | −0.498442 | − | 0.863326i | 0.501557 | − | 0.865125i | \(-0.332761\pi\) |
−0.999998 | + | 0.00179839i | \(0.999428\pi\) | |||||||
\(720\) | 3.04101 | + | 17.2464i | 0.113332 | + | 0.642737i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 16.6925 | − | 28.9123i | 0.621232 | − | 1.07600i | ||||
\(723\) | 6.01620 | − | 7.16982i | 0.223745 | − | 0.266649i | ||||
\(724\) | −15.2003 | −0.564914 | ||||||||
\(725\) | 25.5699 | 0.949641 | ||||||||
\(726\) | 17.4907 | + | 3.08408i | 0.649140 | + | 0.114461i | ||||
\(727\) | 22.8221 | − | 39.5290i | 0.846424 | − | 1.46605i | −0.0379552 | − | 0.999279i | \(-0.512084\pi\) |
0.884379 | − | 0.466770i | \(-0.154582\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.5000 | + | 23.3827i | 0.500000 | + | 0.866025i | ||||
\(730\) | −14.2297 | − | 24.6465i | −0.526664 | − | 0.912209i | ||||
\(731\) | −0.152704 | − | 0.264490i | −0.00564795 | − | 0.00978253i | ||||
\(732\) | 6.78493 | + | 18.6414i | 0.250778 | + | 0.689007i | ||||
\(733\) | −2.98751 | + | 5.17452i | −0.110346 | + | 0.191125i | −0.915910 | − | 0.401384i | \(-0.868529\pi\) |
0.805564 | + | 0.592509i | \(0.201863\pi\) | |||||||
\(734\) | −13.8302 | − | 23.9546i | −0.510483 | − | 0.884182i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.26786 | + | 12.5883i | −0.267897 | + | 0.464011i | ||||
\(737\) | 5.73783 | + | 9.93821i | 0.211356 | + | 0.366079i | ||||
\(738\) | −8.45723 | − | 3.07818i | −0.311315 | − | 0.113309i | ||||
\(739\) | 17.7981 | − | 30.8273i | 0.654715 | − | 1.13400i | −0.327250 | − | 0.944938i | \(-0.606122\pi\) |
0.981965 | − | 0.189062i | \(-0.0605447\pi\) | |||||||
\(740\) | 17.6682 | 0.649495 | ||||||||
\(741\) | −22.4315 | − | 3.95529i | −0.824043 | − | 0.145301i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.6544 | + | 25.3821i | 0.537616 | + | 0.931178i | 0.999032 | + | 0.0439943i | \(0.0140083\pi\) |
−0.461416 | + | 0.887184i | \(0.652658\pi\) | |||||||
\(744\) | 16.4741 | + | 45.2623i | 0.603971 | + | 1.65940i | ||||
\(745\) | −6.66385 | − | 11.5421i | −0.244145 | − | 0.422871i | ||||
\(746\) | −2.19207 | + | 3.79677i | −0.0802573 | + | 0.139010i | ||||
\(747\) | 0.114056 | + | 0.646844i | 0.00417309 | + | 0.0236668i | ||||
\(748\) | 28.2841 | 1.03417 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −12.1707 | − | 33.4388i | −0.444412 | − | 1.22101i | ||||
\(751\) | 8.66684 | − | 15.0114i | 0.316258 | − | 0.547774i | −0.663446 | − | 0.748224i | \(-0.730907\pi\) |
0.979704 | + | 0.200450i | \(0.0642403\pi\) | |||||||
\(752\) | −6.78611 | −0.247464 | ||||||||
\(753\) | 7.14837 | + | 19.6400i | 0.260501 | + | 0.715720i | ||||
\(754\) | 83.5357 | 3.04219 | ||||||||
\(755\) | 16.6699 | 0.606681 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.77156 | −0.100734 | −0.0503671 | − | 0.998731i | \(-0.516039\pi\) | ||||
−0.0503671 | + | 0.998731i | \(0.516039\pi\) | |||||||
\(758\) | −30.7229 | −1.11590 | ||||||||
\(759\) | −7.26786 | − | 19.9683i | −0.263806 | − | 0.724802i | ||||
\(760\) | −12.9486 | −0.469696 | ||||||||
\(761\) | −3.75372 | + | 6.50163i | −0.136072 | + | 0.235684i | −0.926007 | − | 0.377508i | \(-0.876781\pi\) |
0.789934 | + | 0.613191i | \(0.210115\pi\) | |||||||
\(762\) | −26.4805 | − | 72.7545i | −0.959286 | − | 2.63562i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 24.9590 | 0.902987 | ||||||||
\(765\) | −4.09714 | − | 1.49124i | −0.148133 | − | 0.0539158i | ||||
\(766\) | 11.0296 | − | 19.1038i | 0.398514 | − | 0.690247i | ||||
\(767\) | 18.1609 | + | 31.4556i | 0.655752 | + | 1.13580i | ||||
\(768\) | 18.0699 | + | 49.6465i | 0.652040 | + | 1.79146i | ||||
\(769\) | −1.02182 | − | 1.76985i | −0.0368478 | − | 0.0638223i | 0.847013 | − | 0.531572i | \(-0.178398\pi\) |
−0.883861 | + | 0.467749i | \(0.845065\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18.0232 | + | 3.17798i | 0.649090 | + | 0.114452i | ||||
\(772\) | 42.3337 | 1.52362 | ||||||||
\(773\) | 12.4709 | − | 21.6002i | 0.448547 | − | 0.776907i | −0.549744 | − | 0.835333i | \(-0.685275\pi\) |
0.998292 | + | 0.0584263i | \(0.0186083\pi\) | |||||||
\(774\) | −0.243756 | − | 1.38241i | −0.00876162 | − | 0.0496896i | ||||
\(775\) | −9.62495 | − | 16.6709i | −0.345738 | − | 0.598837i | ||||
\(776\) | −38.1721 | + | 66.1159i | −1.37030 | + | 2.37342i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.61246 | − | 7.98902i | −0.165365 | − | 0.286420i | ||||
\(779\) | 1.42855 | − | 2.47432i | 0.0511831 | − | 0.0886516i | ||||
\(780\) | −12.5326 | − | 34.4329i | −0.448737 | − | 1.23290i | ||||
\(781\) | 7.13816 | + | 12.3636i | 0.255423 | + | 0.442406i | ||||
\(782\) | −6.61721 | − | 11.4613i | −0.236631 | − | 0.409857i | ||||
\(783\) | 27.2233 | − | 15.7174i | 0.972883 | − | 0.561694i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.93969 | + | 13.7520i | −0.283380 | + | 0.490828i | ||||
\(786\) | −82.9159 | − | 14.6203i | −2.95751 | − | 0.521489i | ||||
\(787\) | 7.10700 | 0.253337 | 0.126669 | − | 0.991945i | \(-0.459572\pi\) | ||||
0.126669 | + | 0.991945i | \(0.459572\pi\) | |||||||
\(788\) | 36.7033 | 1.30750 | ||||||||
\(789\) | 31.5669 | − | 37.6199i | 1.12381 | − | 1.33930i | ||||
\(790\) | −6.63341 | + | 11.4894i | −0.236006 | + | 0.408774i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 66.7777 | + | 24.3051i | 2.37284 | + | 0.863644i | ||||
\(793\) | −7.07919 | − | 12.2615i | −0.251389 | − | 0.435419i | ||||
\(794\) | 19.5548 | + | 33.8700i | 0.693975 | + | 1.20200i | ||||
\(795\) | 7.13816 | − | 8.50692i | 0.253164 | − | 0.301709i | ||||
\(796\) | −14.5496 | + | 25.2007i | −0.515698 | + | 0.893215i | ||||
\(797\) | −16.8314 | − | 29.1528i | −0.596199 | − | 1.03265i | −0.993376 | − | 0.114905i | \(-0.963344\pi\) |
0.397178 | − | 0.917742i | \(-0.369990\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.844770 | − | 1.46318i | 0.0298858 | − | 0.0517638i | ||||
\(800\) | 9.71348 | + | 16.8242i | 0.343423 | + | 0.594827i | ||||
\(801\) | 31.0869 | + | 11.3147i | 1.09840 | + | 0.399786i | ||||
\(802\) | −23.3229 | + | 40.3965i | −0.823562 | + | 1.42645i | ||||
\(803\) | −49.5827 | −1.74973 | ||||||||
\(804\) | 7.73055 | + | 21.2395i | 0.272636 | + | 0.749060i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −31.4443 | − | 54.4632i | −1.10758 | − | 1.91838i | ||||
\(807\) | 12.7647 | + | 2.25076i | 0.449339 | + | 0.0792305i | ||||
\(808\) | 29.6660 | + | 51.3830i | 1.04364 | + | 1.80765i | ||||
\(809\) | 6.40807 | − | 11.0991i | 0.225296 | − | 0.390224i | −0.731112 | − | 0.682257i | \(-0.760998\pi\) |
0.956408 | + | 0.292033i | \(0.0943318\pi\) | |||||||
\(810\) | −15.3516 | − | 12.8816i | −0.539401 | − | 0.452612i | ||||
\(811\) | −26.1239 | −0.917335 | −0.458667 | − | 0.888608i | \(-0.651673\pi\) | ||||
−0.458667 | + | 0.888608i | \(0.651673\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −15.1839 | + | 18.0955i | −0.532523 | + | 0.634636i | ||||
\(814\) | 22.3687 | − | 38.7437i | 0.784023 | − | 1.35797i | ||||
\(815\) | −0.842549 | −0.0295132 | ||||||||
\(816\) | 18.7135 | + | 3.29969i | 0.655103 | + | 0.115512i | ||||
\(817\) | 0.445622 | 0.0155904 | ||||||||
\(818\) | −72.5099 | −2.53525 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.59627 | 0.160509 | ||||||||
\(821\) | 27.6641 | 0.965483 | 0.482741 | − | 0.875763i | \(-0.339641\pi\) | ||||
0.482741 | + | 0.875763i | \(0.339641\pi\) | |||||||
\(822\) | −51.1823 | + | 60.9967i | −1.78519 | + | 2.12750i | ||||
\(823\) | 27.8324 | 0.970178 | 0.485089 | − | 0.874465i | \(-0.338787\pi\) | ||||
0.485089 | + | 0.874465i | \(0.338787\pi\) | |||||||
\(824\) | −20.1386 | + | 34.8811i | −0.701562 | + | 1.21514i | ||||
\(825\) | −27.9688 | − | 4.93166i | −0.973750 | − | 0.171698i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 4.65507 | 0.161873 | 0.0809363 | − | 0.996719i | \(-0.474209\pi\) | ||||
0.0809363 | + | 0.996719i | \(0.474209\pi\) | |||||||
\(828\) | −7.26786 | − | 41.2181i | −0.252575 | − | 1.43243i | ||||
\(829\) | 4.98680 | − | 8.63738i | 0.173199 | − | 0.299989i | −0.766338 | − | 0.642438i | \(-0.777923\pi\) |
0.939536 | + | 0.342449i | \(0.111256\pi\) | |||||||
\(830\) | −0.243756 | − | 0.422197i | −0.00846089 | − | 0.0146547i | ||||
\(831\) | 6.84776 | − | 8.16085i | 0.237546 | − | 0.283097i | ||||
\(832\) | −4.46673 | − | 7.73660i | −0.154856 | − | 0.268218i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −62.1814 | + | 74.1050i | −2.15317 | + | 2.56604i | ||||
\(835\) | −17.4456 | −0.603731 | ||||||||
\(836\) | −20.6348 | + | 35.7404i | −0.713668 | + | 1.23611i | ||||
\(837\) | −20.4947 | − | 11.8326i | −0.708400 | − | 0.408995i | ||||
\(838\) | 43.9261 | + | 76.0822i | 1.51740 | + | 2.62822i | ||||
\(839\) | 3.36484 | − | 5.82807i | 0.116167 | − | 0.201207i | −0.802079 | − | 0.597218i | \(-0.796273\pi\) |
0.918246 | + | 0.396011i | \(0.129606\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.79901 | − | 6.58008i | −0.131000 | − | 0.226899i | ||||
\(842\) | 34.6921 | − | 60.0885i | 1.19557 | − | 2.07079i | ||||
\(843\) | 5.64977 | + | 0.996206i | 0.194588 | + | 0.0343112i | ||||
\(844\) | 7.43242 | + | 12.8733i | 0.255834 | + | 0.443118i | ||||
\(845\) | 7.36009 | + | 12.7480i | 0.253195 | + | 0.438546i | ||||
\(846\) | 5.94878 | − | 4.99162i | 0.204523 | − | 0.171615i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −24.1989 | + | 41.9138i | −0.830995 | + | 1.43932i | ||||
\(849\) | −17.1932 | − | 47.2381i | −0.590071 | − | 1.62121i | ||||
\(850\) | −17.6878 | −0.606686 | ||||||||
\(851\) | −14.4032 | −0.493737 | ||||||||
\(852\) | 9.61721 | + | 26.4231i | 0.329480 | + | 0.905239i | ||||
\(853\) | −2.89528 | + | 5.01477i | −0.0991324 | + | 0.171702i | −0.911326 | − | 0.411686i | \(-0.864940\pi\) |
0.812193 | + | 0.583388i | \(0.198273\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.87346 | − | 4.08931i | 0.166669 | − | 0.139852i | ||||
\(856\) | −7.29426 | − | 12.6340i | −0.249313 | − | 0.431822i | ||||
\(857\) | 17.4538 | + | 30.2309i | 0.596211 | + | 1.03267i | 0.993375 | + | 0.114921i | \(0.0366614\pi\) |
−0.397163 | + | 0.917748i | \(0.630005\pi\) | |||||||
\(858\) | −91.3731 | − | 16.1115i | −3.11943 | − | 0.550039i | ||||
\(859\) | 6.30747 | − | 10.9249i | 0.215208 | − | 0.372751i | −0.738129 | − | 0.674660i | \(-0.764290\pi\) |
0.953337 | + | 0.301909i | \(0.0976237\pi\) | |||||||
\(860\) | 0.358441 | + | 0.620838i | 0.0122227 | + | 0.0211704i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −33.6668 | + | 58.3127i | −1.14670 | + | 1.98614i | ||||
\(863\) | 12.1027 | + | 20.9624i | 0.411979 | + | 0.713569i | 0.995106 | − | 0.0988119i | \(-0.0315042\pi\) |
−0.583127 | + | 0.812381i | \(0.698171\pi\) | |||||||
\(864\) | 20.6832 | + | 11.9415i | 0.703657 | + | 0.406256i | ||||
\(865\) | 9.97343 | − | 17.2745i | 0.339107 | − | 0.587350i | ||||
\(866\) | 94.1508 | 3.19937 | ||||||||
\(867\) | 15.8858 | − | 18.9319i | 0.539509 | − | 0.642962i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 11.5569 | + | 20.0171i | 0.392041 | + | 0.679035i | ||||
\(870\) | −14.9974 | + | 17.8732i | −0.508458 | + | 0.605957i | ||||
\(871\) | −8.06583 | − | 13.9704i | −0.273300 | − | 0.473370i | ||||
\(872\) | −12.0842 | + | 20.9305i | −0.409224 | + | 0.708797i | ||||
\(873\) | −6.51337 | − | 36.9391i | −0.220444 | − | 1.25020i | ||||
\(874\) | 19.3105 | 0.653186 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −96.1751 | − | 16.9583i | −3.24946 | − | 0.572967i | ||||
\(877\) | 0.562834 | − | 0.974856i | 0.0190055 | − | 0.0329186i | −0.856366 | − | 0.516369i | \(-0.827283\pi\) |
0.875372 | + | 0.483450i | \(0.160617\pi\) | |||||||
\(878\) | 63.4911 | 2.14272 | ||||||||
\(879\) | 9.37346 | − | 11.1708i | 0.316159 | − | 0.376783i | ||||
\(880\) | −22.6459 | −0.763393 | ||||||||
\(881\) | −4.38331 | −0.147678 | −0.0738388 | − | 0.997270i | \(-0.523525\pi\) | ||||
−0.0738388 | + | 0.997270i | \(0.523525\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.88949 | −0.231850 | −0.115925 | − | 0.993258i | \(-0.536983\pi\) | ||||
−0.115925 | + | 0.993258i | \(0.536983\pi\) | |||||||
\(884\) | −39.7597 | −1.33726 | ||||||||
\(885\) | −9.99067 | − | 1.76162i | −0.335833 | − | 0.0592163i | ||||
\(886\) | 5.17705 | 0.173926 | ||||||||
\(887\) | −19.5376 | + | 33.8401i | −0.656009 | + | 1.13624i | 0.325631 | + | 0.945497i | \(0.394423\pi\) |
−0.981640 | + | 0.190744i | \(0.938910\pi\) | |||||||
\(888\) | 30.9613 | − | 36.8982i | 1.03899 | − | 1.23822i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −24.5544 | −0.823065 | ||||||||
\(891\) | −32.8089 | + | 11.9415i | −1.09914 | + | 0.400054i | ||||
\(892\) | 13.8439 | − | 23.9783i | 0.463528 | − | 0.802854i | ||||
\(893\) | 1.23261 | + | 2.13495i | 0.0412478 | + | 0.0714432i | ||||
\(894\) | −65.4586 | − | 11.5421i | −2.18926 | − | 0.386026i | ||||
\(895\) | −3.23055 | − | 5.59548i | −0.107985 | − | 0.187036i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 10.2166 | + | 28.0700i | 0.341123 | + | 0.937229i | ||||
\(898\) | −25.9145 | −0.864777 | ||||||||
\(899\) | −13.7761 | + | 23.8610i | −0.459460 | + | 0.795809i | ||||
\(900\) | −52.5642 | − | 19.1318i | −1.75214 | − | 0.637727i | ||||
\(901\) | −6.02481 | − | 10.4353i | −0.200716 | − | 0.347650i | ||||
\(902\) | 5.81908 | − | 10.0789i | 0.193754 | − | 0.335592i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −50.2327 | − | 87.0055i | −1.67071 | − | 2.89376i | ||||
\(905\) | −1.51501 | + | 2.62408i | −0.0503608 | + | 0.0872275i | ||||
\(906\) | 53.4394 | − | 63.6866i | 1.77541 | − | 2.11585i | ||||
\(907\) | −21.2469 | − | 36.8007i | −0.705492 | − | 1.22195i | −0.966514 | − | 0.256615i | \(-0.917393\pi\) |
0.261022 | − | 0.965333i | \(-0.415941\pi\) | |||||||
\(908\) | 13.5929 | + | 23.5435i | 0.451095 | + | 0.781319i | ||||
\(909\) | −27.3926 | − | 9.97011i | −0.908557 | − | 0.330688i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 7.74675 | − | 13.4178i | 0.256661 | − | 0.444550i | −0.708684 | − | 0.705526i | \(-0.750711\pi\) |
0.965345 | + | 0.260976i | \(0.0840442\pi\) | |||||||
\(912\) | −17.8221 | + | 21.2395i | −0.590148 | + | 0.703311i | ||||
\(913\) | −0.849356 | −0.0281096 | ||||||||
\(914\) | −107.853 | −3.56746 | ||||||||
\(915\) | 3.89440 | + | 0.686688i | 0.128745 | + | 0.0227012i | ||||
\(916\) | −51.5813 | + | 89.3414i | −1.70429 | + | 2.95192i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −18.8316 | + | 10.8724i | −0.621534 | + | 0.358843i | ||||
\(919\) | −3.26470 | − | 5.65463i | −0.107693 | − | 0.186529i | 0.807143 | − | 0.590357i | \(-0.201013\pi\) |
−0.914835 | + | 0.403828i | \(0.867680\pi\) | |||||||
\(920\) | 8.49067 | + | 14.7063i | 0.279929 | + | 0.484851i | ||||
\(921\) | 7.51620 | + | 20.6506i | 0.247667 | + | 0.680460i | ||||
\(922\) | −0.639033 | + | 1.10684i | −0.0210454 | + | 0.0364518i | ||||
\(923\) | −10.0343 | − | 17.3799i | −0.330283 | − | 0.572068i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.62495 | + | 16.6709i | −0.316466 | + | 0.548136i | ||||
\(926\) | −3.39306 | − | 5.87695i | −0.111503 | − | 0.193128i | ||||
\(927\) | −3.43629 | − | 19.4882i | −0.112863 | − | 0.640075i | ||||
\(928\) | 13.9029 | − | 24.0805i | 0.456384 | − | 0.790480i | ||||
\(929\) | 58.2772 | 1.91201 | 0.956007 | − | 0.293343i | \(-0.0947679\pi\) | ||||
0.956007 | + | 0.293343i | \(0.0947679\pi\) | |||||||
\(930\) | 17.2981 | + | 3.05013i | 0.567228 | + | 0.100018i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 18.8045 | + | 32.5704i | 0.615963 | + | 1.06688i | ||||
\(933\) | 9.76873 | + | 26.8394i | 0.319814 | + | 0.878682i | ||||
\(934\) | 39.7747 | + | 68.8918i | 1.30147 | + | 2.25421i | ||||
\(935\) | 2.81908 | − | 4.88279i | 0.0921937 | − | 0.159684i | ||||
\(936\) | −93.8713 | − | 34.1664i | −3.06828 | − | 1.11676i | ||||
\(937\) | 32.4175 | 1.05903 | 0.529516 | − | 0.848300i | \(-0.322374\pi\) | ||||
0.529516 | + | 0.848300i | \(0.322374\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −16.8942 | − | 46.4165i | −0.551323 | − | 1.51475i | ||||
\(940\) | −1.98293 | + | 3.43453i | −0.0646759 | + | 0.112022i | ||||
\(941\) | −27.3226 | −0.890693 | −0.445346 | − | 0.895358i | \(-0.646919\pi\) | ||||
−0.445346 | + | 0.895358i | \(0.646919\pi\) | |||||||
\(942\) | 27.0861 | + | 74.4183i | 0.882511 | + | 2.42468i | ||||
\(943\) | −3.74691 | −0.122016 | ||||||||
\(944\) | 44.2131 | 1.43901 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.81521 | 0.0590175 | ||||||||
\(947\) | −38.2131 | −1.24176 | −0.620879 | − | 0.783906i | \(-0.713224\pi\) | ||||
−0.620879 | + | 0.783906i | \(0.713224\pi\) | |||||||
\(948\) | 15.5706 | + | 42.7798i | 0.505709 | + | 1.38942i | ||||
\(949\) | 69.6998 | 2.26255 | ||||||||
\(950\) | 12.9042 | − | 22.3507i | 0.418668 | − | 0.725153i | ||||
\(951\) | 15.3400 | + | 42.1464i | 0.497434 | + | 1.36669i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 58.9377 | 1.90918 | 0.954590 | − | 0.297924i | \(-0.0962943\pi\) | ||||
0.954590 | + | 0.297924i | \(0.0962943\pi\) | |||||||
\(954\) | −9.61721 | − | 54.5419i | −0.311369 | − | 1.76586i | ||||
\(955\) | 2.48767 | − | 4.30878i | 0.0804992 | − | 0.139429i | ||||
\(956\) | −32.1202 | − | 55.6338i | −1.03884 | − | 1.79933i | ||||
\(957\) | 13.9029 | + | 38.1978i | 0.449416 | + | 1.23476i | ||||
\(958\) | 20.8145 | + | 36.0518i | 0.672486 | + | 1.16478i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 2.45723 | + | 0.433277i | 0.0793069 | + | 0.0139839i | ||||
\(961\) | −10.2576 | −0.330892 | ||||||||
\(962\) | −31.4443 | + | 54.4632i | −1.01381 | + | 1.75596i | ||||
\(963\) | 6.73530 | + | 2.45145i | 0.217042 | + | 0.0789968i | ||||
\(964\) | 11.9192 | + | 20.6447i | 0.383892 | + | 0.664921i | ||||
\(965\) | 4.21941 | − | 7.30823i | 0.135828 | − | 0.235260i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.3594 | − | 21.4071i | −0.397451 | − | 0.688405i | 0.595960 | − | 0.803014i | \(-0.296772\pi\) |
−0.993411 | + | 0.114609i | \(0.963438\pi\) | |||||||
\(968\) | −12.3637 | + | 21.4145i | −0.397383 | + | 0.688287i | ||||
\(969\) | −2.36097 | − | 6.48670i | −0.0758452 | − | 0.208383i | ||||
\(970\) | 13.9201 | + | 24.1103i | 0.446947 | + | 0.774135i | ||||
\(971\) | −4.08812 | − | 7.08082i | −0.131194 | − | 0.227234i | 0.792943 | − | 0.609296i | \(-0.208548\pi\) |
−0.924137 | + | 0.382061i | \(0.875214\pi\) | |||||||
\(972\) | −67.7233 | + | 11.9415i | −2.17223 | + | 0.383022i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 3.76692 | − | 6.52450i | 0.120700 | − | 0.209058i | ||||
\(975\) | 39.3166 | + | 6.93258i | 1.25914 | + | 0.222020i | ||||
\(976\) | −17.2344 | −0.551660 | ||||||||
\(977\) | −15.8485 | −0.507040 | −0.253520 | − | 0.967330i | \(-0.581588\pi\) | ||||
−0.253520 | + | 0.967330i | \(0.581588\pi\) | |||||||
\(978\) | −2.70099 | + | 3.21891i | −0.0863681 | + | 0.102930i | ||||
\(979\) | −21.3897 | + | 37.0480i | −0.683616 | + | 1.18406i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.06196 | − | 11.6939i | −0.0658332 | − | 0.373359i | ||||
\(982\) | 33.5326 | + | 58.0801i | 1.07007 | + | 1.85341i | ||||
\(983\) | −26.6532 | − | 46.1646i | −0.850104 | − | 1.47242i | −0.881114 | − | 0.472904i | \(-0.843206\pi\) |
0.0310096 | − | 0.999519i | \(-0.490128\pi\) | |||||||
\(984\) | 8.05438 | − | 9.59883i | 0.256764 | − | 0.306000i | ||||
\(985\) | 3.65822 | − | 6.33623i | 0.116561 | − | 0.201889i | ||||
\(986\) | 12.6582 | + | 21.9247i | 0.403120 | + | 0.698224i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 29.0069 | − | 50.2414i | 0.922831 | − | 1.59839i | ||||
\(989\) | −0.292204 | − | 0.506111i | −0.00929153 | − | 0.0160934i | ||||
\(990\) | 19.8516 | − | 16.6575i | 0.630926 | − | 0.529410i | ||||
\(991\) | −20.1047 | + | 34.8224i | −0.638648 | + | 1.10617i | 0.347082 | + | 0.937835i | \(0.387172\pi\) |
−0.985730 | + | 0.168335i | \(0.946161\pi\) | |||||||
\(992\) | −20.9331 | −0.664628 | ||||||||
\(993\) | −4.86887 | − | 13.3771i | −0.154509 | − | 0.424510i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.90033 | + | 5.02352i | 0.0919466 | + | 0.159256i | ||||
\(996\) | −1.64749 | − | 0.290497i | −0.0522027 | − | 0.00920474i | ||||
\(997\) | −14.3601 | − | 24.8724i | −0.454789 | − | 0.787717i | 0.543887 | − | 0.839158i | \(-0.316952\pi\) |
−0.998676 | + | 0.0514412i | \(0.983619\pi\) | |||||||
\(998\) | 17.0205 | − | 29.4804i | 0.538776 | − | 0.933187i | ||||
\(999\) | 23.6652i | 0.748735i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))