Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(128,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.128");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.y (of order \(12\), degree \(4\), 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 128.4 | ||
Character | \(\chi\) | \(=\) | 735.128 |
Dual form | 735.2.y.i.557.4 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26950 | + | 0.340162i | −0.897673 | + | 0.240531i | −0.678017 | − | 0.735046i | \(-0.737160\pi\) |
−0.219656 | + | 0.975577i | \(0.570494\pi\) | |||||||
\(3\) | 1.59946 | + | 0.664627i | 0.923448 | + | 0.383723i | ||||
\(4\) | −0.236127 | + | 0.136328i | −0.118063 | + | 0.0681639i | ||||
\(5\) | −2.23063 | − | 0.155895i | −0.997567 | − | 0.0697184i | ||||
\(6\) | −2.25660 | − | 0.299670i | −0.921252 | − | 0.122340i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.11207 | − | 2.11207i | 0.746729 | − | 0.746729i | ||||
\(9\) | 2.11654 | + | 2.12609i | 0.705514 | + | 0.708696i | ||||
\(10\) | 2.88481 | − | 0.560865i | 0.912258 | − | 0.177361i | ||||
\(11\) | 3.38224 | − | 1.95274i | 1.01978 | − | 0.588773i | 0.105743 | − | 0.994394i | \(-0.466278\pi\) |
0.914041 | + | 0.405621i | \(0.132945\pi\) | |||||||
\(12\) | −0.468282 | + | 0.0611145i | −0.135181 | + | 0.0176422i | ||||
\(13\) | 1.56642 | + | 1.56642i | 0.434448 | + | 0.434448i | 0.890138 | − | 0.455691i | \(-0.150608\pi\) |
−0.455691 | + | 0.890138i | \(0.650608\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.46419 | − | 1.73188i | −0.894449 | − | 0.447170i | ||||
\(16\) | −1.69017 | + | 2.92747i | −0.422544 | + | 0.731867i | ||||
\(17\) | 0.693065 | − | 2.58656i | 0.168093 | − | 0.627332i | −0.829532 | − | 0.558459i | \(-0.811393\pi\) |
0.997625 | − | 0.0688731i | \(-0.0219404\pi\) | |||||||
\(18\) | −3.41017 | − | 1.97911i | −0.803784 | − | 0.466480i | ||||
\(19\) | −1.61097 | − | 0.930096i | −0.369582 | − | 0.213379i | 0.303694 | − | 0.952770i | \(-0.401780\pi\) |
−0.673276 | + | 0.739391i | \(0.735113\pi\) | |||||||
\(20\) | 0.547963 | − | 0.267285i | 0.122528 | − | 0.0597668i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.62951 | + | 3.62951i | −0.773815 | + | 0.773815i | ||||
\(23\) | −0.638564 | − | 2.38315i | −0.133150 | − | 0.496921i | 0.866849 | − | 0.498571i | \(-0.166142\pi\) |
−0.999999 | + | 0.00164943i | \(0.999475\pi\) | |||||||
\(24\) | 4.78191 | − | 1.97443i | 0.976103 | − | 0.403029i | ||||
\(25\) | 4.95139 | + | 0.695488i | 0.990279 | + | 0.139098i | ||||
\(26\) | −2.52141 | − | 1.45574i | −0.494490 | − | 0.285494i | ||||
\(27\) | 1.97227 | + | 4.80730i | 0.379563 | + | 0.925166i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.513153 | −0.0952901 | −0.0476450 | − | 0.998864i | \(-0.515172\pi\) | ||||
−0.0476450 | + | 0.998864i | \(0.515172\pi\) | |||||||
\(30\) | 4.98691 | + | 1.02024i | 0.910481 | + | 0.186270i | ||||
\(31\) | 4.29138 | + | 7.43289i | 0.770755 | + | 1.33499i | 0.937150 | + | 0.348928i | \(0.113454\pi\) |
−0.166394 | + | 0.986059i | \(0.553212\pi\) | |||||||
\(32\) | −0.396276 | + | 1.47892i | −0.0700524 | + | 0.261439i | ||||
\(33\) | 6.70760 | − | 0.875396i | 1.16764 | − | 0.152387i | ||||
\(34\) | 3.51939i | 0.603570i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.789616 | − | 0.213483i | −0.131603 | − | 0.0355804i | ||||
\(37\) | 1.77034 | + | 6.60698i | 0.291041 | + | 1.08618i | 0.944311 | + | 0.329056i | \(0.106730\pi\) |
−0.653269 | + | 0.757126i | \(0.726603\pi\) | |||||||
\(38\) | 2.36152 | + | 0.632766i | 0.383088 | + | 0.102648i | ||||
\(39\) | 1.46434 | + | 3.54652i | 0.234483 | + | 0.567897i | ||||
\(40\) | −5.04050 | + | 4.38198i | −0.796973 | + | 0.692851i | ||||
\(41\) | − | 0.308469i | − | 0.0481748i | −0.999710 | − | 0.0240874i | \(-0.992332\pi\) | ||
0.999710 | − | 0.0240874i | \(-0.00766800\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.60892 | + | 7.60892i | 1.16035 | + | 1.16035i | 0.984399 | + | 0.175950i | \(0.0562999\pi\) |
0.175950 | + | 0.984399i | \(0.443700\pi\) | |||||||
\(44\) | −0.532425 | + | 0.922186i | −0.0802660 | + | 0.139025i | ||||
\(45\) | −4.38977 | − | 5.07247i | −0.654388 | − | 0.756159i | ||||
\(46\) | 1.62131 | + | 2.80820i | 0.239050 | + | 0.414046i | ||||
\(47\) | 5.10994 | − | 1.36920i | 0.745361 | − | 0.199719i | 0.133902 | − | 0.990995i | \(-0.457249\pi\) |
0.611460 | + | 0.791276i | \(0.290583\pi\) | |||||||
\(48\) | −4.64904 | + | 3.55903i | −0.671031 | + | 0.513702i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −6.52238 | + | 0.801352i | −0.922404 | + | 0.113328i | ||||
\(51\) | 2.82762 | − | 3.67646i | 0.395947 | − | 0.514807i | ||||
\(52\) | −0.583421 | − | 0.156327i | −0.0809059 | − | 0.0216787i | ||||
\(53\) | 1.85953 | + | 0.498259i | 0.255426 | + | 0.0684411i | 0.384260 | − | 0.923225i | \(-0.374457\pi\) |
−0.128834 | + | 0.991666i | \(0.541123\pi\) | |||||||
\(54\) | −4.13906 | − | 5.43199i | −0.563254 | − | 0.739200i | ||||
\(55\) | −7.84894 | + | 3.82855i | −1.05835 | + | 0.516242i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.95852 | − | 2.55835i | −0.259412 | − | 0.338861i | ||||
\(58\) | 0.651448 | − | 0.174555i | 0.0855393 | − | 0.0229202i | ||||
\(59\) | 0.259114 | + | 0.448799i | 0.0337338 | + | 0.0584287i | 0.882399 | − | 0.470501i | \(-0.155927\pi\) |
−0.848666 | + | 0.528930i | \(0.822593\pi\) | |||||||
\(60\) | 1.05409 | − | 0.0633209i | 0.136082 | − | 0.00817469i | ||||
\(61\) | 2.55451 | − | 4.42454i | 0.327071 | − | 0.566504i | −0.654858 | − | 0.755752i | \(-0.727272\pi\) |
0.981929 | + | 0.189248i | \(0.0606049\pi\) | |||||||
\(62\) | −7.97631 | − | 7.97631i | −1.01299 | − | 1.01299i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 8.77299i | − | 1.09662i | ||||||
\(65\) | −3.24991 | − | 3.73830i | −0.403101 | − | 0.463680i | ||||
\(66\) | −8.21753 | + | 3.39299i | −1.01151 | + | 0.417648i | ||||
\(67\) | −8.74539 | − | 2.34332i | −1.06842 | − | 0.286282i | −0.318576 | − | 0.947897i | \(-0.603205\pi\) |
−0.749844 | + | 0.661615i | \(0.769871\pi\) | |||||||
\(68\) | 0.188968 | + | 0.705238i | 0.0229157 | + | 0.0855227i | ||||
\(69\) | 0.562551 | − | 4.23616i | 0.0677232 | − | 0.509974i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 15.3749i | 1.82467i | 0.409448 | + | 0.912333i | \(0.365721\pi\) | ||||
−0.409448 | + | 0.912333i | \(0.634279\pi\) | |||||||
\(72\) | 8.96073 | + | 0.0201641i | 1.05603 | + | 0.00237637i | ||||
\(73\) | 0.749913 | − | 2.79871i | 0.0877707 | − | 0.327565i | −0.908054 | − | 0.418854i | \(-0.862432\pi\) |
0.995824 | + | 0.0912890i | \(0.0290987\pi\) | |||||||
\(74\) | −4.49489 | − | 7.78538i | −0.522520 | − | 0.905032i | ||||
\(75\) | 7.45731 | + | 4.40324i | 0.861096 | + | 0.508442i | ||||
\(76\) | 0.507191 | 0.0581788 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −3.06538 | − | 4.00420i | −0.347086 | − | 0.453386i | ||||
\(79\) | −4.37551 | − | 2.52620i | −0.492284 | − | 0.284220i | 0.233238 | − | 0.972420i | \(-0.425068\pi\) |
−0.725521 | + | 0.688200i | \(0.758401\pi\) | |||||||
\(80\) | 4.22653 | − | 6.26660i | 0.472540 | − | 0.700627i | ||||
\(81\) | −0.0405048 | + | 8.99991i | −0.00450054 | + | 0.999990i | ||||
\(82\) | 0.104930 | + | 0.391602i | 0.0115875 | + | 0.0432452i | ||||
\(83\) | 9.16088 | − | 9.16088i | 1.00554 | − | 1.00554i | 0.00555287 | − | 0.999985i | \(-0.498232\pi\) |
0.999985 | − | 0.00555287i | \(-0.00176754\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.94920 | + | 5.66159i | −0.211421 | + | 0.614086i | ||||
\(86\) | −12.2478 | − | 7.07127i | −1.32071 | − | 0.762515i | ||||
\(87\) | −0.820767 | − | 0.341055i | −0.0879955 | − | 0.0365650i | ||||
\(88\) | 3.01921 | − | 11.2678i | 0.321849 | − | 1.20116i | ||||
\(89\) | −5.67519 | + | 9.82972i | −0.601569 | + | 1.04195i | 0.391014 | + | 0.920385i | \(0.372124\pi\) |
−0.992584 | + | 0.121564i | \(0.961209\pi\) | |||||||
\(90\) | 7.29828 | + | 4.94628i | 0.769306 | + | 0.521383i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.475671 | + | 0.475671i | 0.0495922 | + | 0.0495922i | ||||
\(93\) | 1.92379 | + | 14.7408i | 0.199488 | + | 1.52855i | ||||
\(94\) | −6.02133 | + | 3.47641i | −0.621052 | + | 0.358565i | ||||
\(95\) | 3.44848 | + | 2.32584i | 0.353807 | + | 0.238626i | ||||
\(96\) | −1.61676 | + | 2.10210i | −0.165010 | + | 0.214545i | ||||
\(97\) | 6.81964 | − | 6.81964i | 0.692430 | − | 0.692430i | −0.270336 | − | 0.962766i | \(-0.587135\pi\) |
0.962766 | + | 0.270336i | \(0.0871349\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 11.3103 | + | 3.05789i | 1.13673 | + | 0.307330i | ||||
\(100\) | −1.26397 | + | 0.510789i | −0.126397 | + | 0.0510789i | ||||
\(101\) | −3.95893 | + | 2.28569i | −0.393928 | + | 0.227434i | −0.683861 | − | 0.729613i | \(-0.739700\pi\) |
0.289933 | + | 0.957047i | \(0.406367\pi\) | |||||||
\(102\) | −2.33908 | + | 5.62912i | −0.231604 | + | 0.557366i | ||||
\(103\) | 9.79345 | − | 2.62415i | 0.964978 | − | 0.258565i | 0.258272 | − | 0.966072i | \(-0.416847\pi\) |
0.706706 | + | 0.707507i | \(0.250180\pi\) | |||||||
\(104\) | 6.61679 | 0.648829 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.53016 | −0.245751 | ||||||||
\(107\) | 1.70748 | − | 0.457517i | 0.165068 | − | 0.0442299i | −0.175338 | − | 0.984508i | \(-0.556102\pi\) |
0.340407 | + | 0.940278i | \(0.389435\pi\) | |||||||
\(108\) | −1.12107 | − | 0.866257i | −0.107875 | − | 0.0833556i | ||||
\(109\) | −4.65588 | + | 2.68808i | −0.445953 | + | 0.257471i | −0.706119 | − | 0.708093i | \(-0.749556\pi\) |
0.260167 | + | 0.965564i | \(0.416222\pi\) | |||||||
\(110\) | 8.66191 | − | 7.53027i | 0.825881 | − | 0.717983i | ||||
\(111\) | −1.55960 | + | 11.7442i | −0.148031 | + | 1.11471i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.83259 | − | 7.83259i | 0.736828 | − | 0.736828i | −0.235134 | − | 0.971963i | \(-0.575553\pi\) |
0.971963 | + | 0.235134i | \(0.0755530\pi\) | |||||||
\(114\) | 3.35660 | + | 2.58161i | 0.314374 | + | 0.241790i | ||||
\(115\) | 1.05288 | + | 5.41547i | 0.0981811 | + | 0.504995i | ||||
\(116\) | 0.121169 | − | 0.0699569i | 0.0112503 | − | 0.00649534i | ||||
\(117\) | −0.0149548 | + | 6.64575i | −0.00138257 | + | 0.614400i | ||||
\(118\) | −0.481611 | − | 0.481611i | −0.0443358 | − | 0.0443358i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −10.9745 | + | 3.65874i | −1.00183 | + | 0.333996i | ||||
\(121\) | 2.12637 | − | 3.68298i | 0.193306 | − | 0.334816i | ||||
\(122\) | −1.73789 | + | 6.48590i | −0.157341 | + | 0.587206i | ||||
\(123\) | 0.205017 | − | 0.493384i | 0.0184858 | − | 0.0444869i | ||||
\(124\) | −2.02662 | − | 1.17007i | −0.181996 | − | 0.105075i | ||||
\(125\) | −10.9363 | − | 2.32327i | −0.978171 | − | 0.207800i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.12393 | − | 8.12393i | 0.720883 | − | 0.720883i | −0.247902 | − | 0.968785i | \(-0.579741\pi\) |
0.968785 | + | 0.247902i | \(0.0797413\pi\) | |||||||
\(128\) | 2.19168 | + | 8.17948i | 0.193719 | + | 0.722971i | ||||
\(129\) | 7.11306 | + | 17.2273i | 0.626270 | + | 1.51678i | ||||
\(130\) | 5.39739 | + | 3.64029i | 0.473383 | + | 0.319274i | ||||
\(131\) | −3.80678 | − | 2.19784i | −0.332600 | − | 0.192027i | 0.324395 | − | 0.945922i | \(-0.394839\pi\) |
−0.656995 | + | 0.753895i | \(0.728173\pi\) | |||||||
\(132\) | −1.46450 | + | 1.12114i | −0.127468 | + | 0.0975823i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 11.8994 | 1.02795 | ||||||||
\(135\) | −3.64995 | − | 11.0308i | −0.314138 | − | 0.949377i | ||||
\(136\) | −3.99918 | − | 6.92678i | −0.342927 | − | 0.593967i | ||||
\(137\) | 1.72207 | − | 6.42684i | 0.147126 | − | 0.549082i | −0.852526 | − | 0.522686i | \(-0.824930\pi\) |
0.999652 | − | 0.0263963i | \(-0.00840317\pi\) | |||||||
\(138\) | 0.726822 | + | 5.56917i | 0.0618712 | + | 0.474079i | ||||
\(139\) | − | 12.3455i | − | 1.04713i | −0.851987 | − | 0.523564i | \(-0.824602\pi\) | ||
0.851987 | − | 0.523564i | \(-0.175398\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 9.08315 | + | 1.20622i | 0.764939 | + | 0.101582i | ||||
\(142\) | −5.22996 | − | 19.5185i | −0.438889 | − | 1.63795i | ||||
\(143\) | 8.35683 | + | 2.23921i | 0.698834 | + | 0.187252i | ||||
\(144\) | −9.80138 | + | 2.60265i | −0.816782 | + | 0.216887i | ||||
\(145\) | 1.14465 | + | 0.0799980i | 0.0950582 | + | 0.00664347i | ||||
\(146\) | 3.80806i | 0.315158i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.31874 | − | 1.31874i | −0.108400 | − | 0.108400i | ||||
\(149\) | −4.91632 | + | 8.51531i | −0.402761 | + | 0.697602i | −0.994058 | − | 0.108852i | \(-0.965283\pi\) |
0.591297 | + | 0.806454i | \(0.298616\pi\) | |||||||
\(150\) | −10.9649 | − | 3.05322i | −0.895279 | − | 0.249294i | ||||
\(151\) | −0.565526 | − | 0.979520i | −0.0460219 | − | 0.0797122i | 0.842097 | − | 0.539326i | \(-0.181321\pi\) |
−0.888119 | + | 0.459614i | \(0.847988\pi\) | |||||||
\(152\) | −5.36691 | + | 1.43806i | −0.435314 | + | 0.116642i | ||||
\(153\) | 6.96615 | − | 4.00103i | 0.563180 | − | 0.323464i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −8.41372 | − | 17.2490i | −0.675807 | − | 1.38547i | ||||
\(156\) | −0.829259 | − | 0.637796i | −0.0663938 | − | 0.0510646i | ||||
\(157\) | −18.0804 | − | 4.84463i | −1.44297 | − | 0.386643i | −0.549399 | − | 0.835560i | \(-0.685143\pi\) |
−0.893574 | + | 0.448916i | \(0.851810\pi\) | |||||||
\(158\) | 6.41404 | + | 1.71864i | 0.510274 | + | 0.136727i | ||||
\(159\) | 2.64308 | + | 2.03284i | 0.209610 | + | 0.161214i | ||||
\(160\) | 1.11450 | − | 3.23715i | 0.0881090 | − | 0.255919i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −3.01001 | − | 11.4392i | −0.236488 | − | 0.898747i | ||||
\(163\) | 12.5828 | − | 3.37156i | 0.985564 | − | 0.264081i | 0.270178 | − | 0.962810i | \(-0.412917\pi\) |
0.715386 | + | 0.698729i | \(0.246251\pi\) | |||||||
\(164\) | 0.0420529 | + | 0.0728378i | 0.00328378 | + | 0.00568767i | ||||
\(165\) | −15.0986 | + | 0.906999i | −1.17543 | + | 0.0706098i | ||||
\(166\) | −8.51357 | + | 14.7459i | −0.660781 | + | 1.14451i | ||||
\(167\) | 2.44412 | + | 2.44412i | 0.189132 | + | 0.189132i | 0.795321 | − | 0.606189i | \(-0.207302\pi\) |
−0.606189 | + | 0.795321i | \(0.707302\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 8.09264i | − | 0.622510i | ||||||
\(170\) | 0.548656 | − | 7.85045i | 0.0420800 | − | 0.602102i | ||||
\(171\) | −1.43223 | − | 5.39366i | −0.109525 | − | 0.412463i | ||||
\(172\) | −2.83397 | − | 0.759361i | −0.216089 | − | 0.0579007i | ||||
\(173\) | −2.47294 | − | 9.22913i | −0.188014 | − | 0.701678i | −0.993965 | − | 0.109696i | \(-0.965012\pi\) |
0.805951 | − | 0.591982i | \(-0.201654\pi\) | |||||||
\(174\) | 1.15798 | + | 0.153776i | 0.0877862 | + | 0.0116578i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 13.2019i | 0.995128i | ||||||||
\(177\) | 0.116159 | + | 0.890051i | 0.00873103 | + | 0.0669003i | ||||
\(178\) | 3.86097 | − | 14.4093i | 0.289392 | − | 1.08003i | ||||
\(179\) | 5.39030 | + | 9.33627i | 0.402890 | + | 0.697826i | 0.994073 | − | 0.108711i | \(-0.0346724\pi\) |
−0.591183 | + | 0.806537i | \(0.701339\pi\) | |||||||
\(180\) | 1.72806 | + | 0.599297i | 0.128802 | + | 0.0446690i | ||||
\(181\) | 2.86639 | 0.213057 | 0.106529 | − | 0.994310i | \(-0.466026\pi\) | ||||
0.106529 | + | 0.994310i | \(0.466026\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.02650 | − | 5.37907i | 0.519414 | − | 0.397633i | ||||
\(184\) | −6.38207 | − | 3.68469i | −0.470492 | − | 0.271639i | ||||
\(185\) | −2.91896 | − | 15.0137i | −0.214606 | − | 1.10383i | ||||
\(186\) | −7.45651 | − | 18.0591i | −0.546738 | − | 1.32415i | ||||
\(187\) | −2.70675 | − | 10.1017i | −0.197937 | − | 0.738711i | ||||
\(188\) | −1.01993 | + | 1.01993i | −0.0743862 | + | 0.0743862i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.16902 | − | 1.77961i | −0.375000 | − | 0.129107i | ||||
\(191\) | −12.1299 | − | 7.00322i | −0.877692 | − | 0.506736i | −0.00779509 | − | 0.999970i | \(-0.502481\pi\) |
−0.869897 | + | 0.493234i | \(0.835815\pi\) | |||||||
\(192\) | 5.83077 | − | 14.0320i | 0.420799 | − | 1.01268i | ||||
\(193\) | −2.46122 | + | 9.18541i | −0.177163 | + | 0.661180i | 0.819010 | + | 0.573779i | \(0.194523\pi\) |
−0.996173 | + | 0.0874017i | \(0.972144\pi\) | |||||||
\(194\) | −6.33776 | + | 10.9773i | −0.455025 | + | 0.788126i | ||||
\(195\) | −2.71352 | − | 8.13924i | −0.194319 | − | 0.582863i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −5.29206 | − | 5.29206i | −0.377044 | − | 0.377044i | 0.492991 | − | 0.870035i | \(-0.335904\pi\) |
−0.870035 | + | 0.492991i | \(0.835904\pi\) | |||||||
\(198\) | −15.3987 | − | 0.0346513i | −1.09434 | − | 0.00246256i | ||||
\(199\) | −8.93994 | + | 5.16148i | −0.633736 | + | 0.365888i | −0.782197 | − | 0.623031i | \(-0.785901\pi\) |
0.148462 | + | 0.988918i | \(0.452568\pi\) | |||||||
\(200\) | 11.9266 | − | 8.98877i | 0.843338 | − | 0.635602i | ||||
\(201\) | −12.4305 | − | 9.56047i | −0.876778 | − | 0.674344i | ||||
\(202\) | 4.24836 | − | 4.24836i | 0.298914 | − | 0.298914i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.166474 | + | 1.25359i | −0.0116555 | + | 0.0877691i | ||||
\(205\) | −0.0480889 | + | 0.688080i | −0.00335867 | + | 0.0480576i | ||||
\(206\) | −11.5402 | + | 6.66272i | −0.804042 | + | 0.464214i | ||||
\(207\) | 3.71524 | − | 6.40168i | 0.258227 | − | 0.444948i | ||||
\(208\) | −7.23318 | + | 1.93813i | −0.501531 | + | 0.134385i | ||||
\(209\) | −7.26493 | −0.502526 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.34600 | −0.299191 | −0.149596 | − | 0.988747i | \(-0.547797\pi\) | ||||
−0.149596 | + | 0.988747i | \(0.547797\pi\) | |||||||
\(212\) | −0.507010 | + | 0.135853i | −0.0348216 | + | 0.00933042i | ||||
\(213\) | −10.2186 | + | 24.5916i | −0.700166 | + | 1.68499i | ||||
\(214\) | −2.01202 | + | 1.16164i | −0.137539 | + | 0.0794079i | ||||
\(215\) | −15.7865 | − | 18.1589i | −1.07663 | − | 1.23842i | ||||
\(216\) | 14.3189 | + | 5.98779i | 0.974279 | + | 0.407418i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.99627 | − | 4.99627i | 0.338390 | − | 0.338390i | ||||
\(219\) | 3.05956 | − | 3.97802i | 0.206746 | − | 0.268809i | ||||
\(220\) | 1.33140 | − | 1.97405i | 0.0897633 | − | 0.133091i | ||||
\(221\) | 5.13727 | − | 2.96601i | 0.345570 | − | 0.199515i | ||||
\(222\) | −2.01502 | − | 15.4398i | −0.135239 | − | 1.03625i | ||||
\(223\) | 11.5568 | + | 11.5568i | 0.773903 | + | 0.773903i | 0.978786 | − | 0.204883i | \(-0.0656815\pi\) |
−0.204883 | + | 0.978786i | \(0.565682\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 9.00116 | + | 11.9991i | 0.600077 | + | 0.799942i | ||||
\(226\) | −7.27914 | + | 12.6078i | −0.484201 | + | 0.838661i | ||||
\(227\) | 3.68303 | − | 13.7452i | 0.244451 | − | 0.912304i | −0.729207 | − | 0.684293i | \(-0.760111\pi\) |
0.973658 | − | 0.228011i | \(-0.0732223\pi\) | |||||||
\(228\) | 0.811232 | + | 0.337093i | 0.0537251 | + | 0.0223245i | ||||
\(229\) | 15.5725 | + | 8.99081i | 1.02906 | + | 0.594129i | 0.916716 | − | 0.399540i | \(-0.130830\pi\) |
0.112346 | + | 0.993669i | \(0.464163\pi\) | |||||||
\(230\) | −3.17876 | − | 6.51680i | −0.209601 | − | 0.429705i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.08381 | + | 1.08381i | −0.0711559 | + | 0.0711559i | ||||
\(233\) | −2.99490 | − | 11.1771i | −0.196203 | − | 0.732239i | −0.991952 | − | 0.126613i | \(-0.959589\pi\) |
0.795750 | − | 0.605626i | \(-0.207077\pi\) | |||||||
\(234\) | −2.24165 | − | 8.44188i | −0.146541 | − | 0.551863i | ||||
\(235\) | −11.6118 | + | 2.25757i | −0.757472 | + | 0.147268i | ||||
\(236\) | −0.122368 | − | 0.0706489i | −0.00796545 | − | 0.00459885i | ||||
\(237\) | −5.31947 | − | 6.94865i | −0.345537 | − | 0.451363i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −24.0516 | −1.55577 | −0.777885 | − | 0.628407i | \(-0.783707\pi\) | ||||
−0.777885 | + | 0.628407i | \(0.783707\pi\) | |||||||
\(240\) | 10.9251 | − | 7.21411i | 0.705213 | − | 0.465669i | ||||
\(241\) | 0.707286 | + | 1.22506i | 0.0455603 | + | 0.0789127i | 0.887906 | − | 0.460024i | \(-0.152159\pi\) |
−0.842346 | + | 0.538937i | \(0.818826\pi\) | |||||||
\(242\) | −1.44662 | + | 5.39886i | −0.0929922 | + | 0.347052i | ||||
\(243\) | −6.04637 | + | 14.3681i | −0.387875 | + | 0.921712i | ||||
\(244\) | 1.39300i | 0.0891778i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.0924390 | + | 0.696091i | −0.00589370 | + | 0.0443811i | ||||
\(247\) | −1.06654 | − | 3.98039i | −0.0678624 | − | 0.253266i | ||||
\(248\) | 24.7625 | + | 6.63509i | 1.57242 | + | 0.421329i | ||||
\(249\) | 20.7410 | − | 8.56389i | 1.31441 | − | 0.542714i | ||||
\(250\) | 14.6739 | − | 0.770711i | 0.928061 | − | 0.0487440i | ||||
\(251\) | − | 10.8892i | − | 0.687318i | −0.939094 | − | 0.343659i | \(-0.888334\pi\) | ||
0.939094 | − | 0.343659i | \(-0.111666\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.81345 | − | 6.81345i | −0.428358 | − | 0.428358i | ||||
\(254\) | −7.54989 | + | 13.0768i | −0.473722 | + | 0.820511i | ||||
\(255\) | −6.88052 | + | 7.76000i | −0.430875 | + | 0.485950i | ||||
\(256\) | 3.20829 | + | 5.55693i | 0.200518 | + | 0.347308i | ||||
\(257\) | 19.1801 | − | 5.13930i | 1.19642 | − | 0.320581i | 0.395002 | − | 0.918680i | \(-0.370744\pi\) |
0.801422 | + | 0.598100i | \(0.204077\pi\) | |||||||
\(258\) | −14.8901 | − | 19.4504i | −0.927017 | − | 1.21093i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1.27702 | + | 0.439660i | 0.0791977 | + | 0.0272666i | ||||
\(261\) | −1.08611 | − | 1.09101i | −0.0672285 | − | 0.0675317i | ||||
\(262\) | 5.58033 | + | 1.49525i | 0.344754 | + | 0.0923766i | ||||
\(263\) | −25.3272 | − | 6.78641i | −1.56174 | − | 0.418468i | −0.628529 | − | 0.777786i | \(-0.716343\pi\) |
−0.933215 | + | 0.359318i | \(0.883009\pi\) | |||||||
\(264\) | 12.3180 | − | 16.0158i | 0.758122 | − | 0.985705i | ||||
\(265\) | −4.07024 | − | 1.40132i | −0.250033 | − | 0.0860825i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −15.6103 | + | 11.9504i | −0.955337 | + | 0.731350i | ||||
\(268\) | 2.38448 | − | 0.638919i | 0.145655 | − | 0.0390282i | ||||
\(269\) | −0.241071 | − | 0.417547i | −0.0146984 | − | 0.0254583i | 0.858583 | − | 0.512675i | \(-0.171345\pi\) |
−0.873281 | + | 0.487217i | \(0.838012\pi\) | |||||||
\(270\) | 8.38587 | + | 12.7620i | 0.510348 | + | 0.776671i | ||||
\(271\) | 2.96583 | − | 5.13697i | 0.180161 | − | 0.312049i | −0.761774 | − | 0.647843i | \(-0.775671\pi\) |
0.941935 | + | 0.335794i | \(0.109005\pi\) | |||||||
\(272\) | 6.40065 | + | 6.40065i | 0.388097 | + | 0.388097i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.74466i | 0.528284i | ||||||||
\(275\) | 18.1049 | − | 7.31646i | 1.09177 | − | 0.441199i | ||||
\(276\) | 0.444673 | + | 1.07696i | 0.0267662 | + | 0.0648254i | ||||
\(277\) | 13.0981 | + | 3.50963i | 0.786989 | + | 0.210873i | 0.629864 | − | 0.776706i | \(-0.283111\pi\) |
0.157125 | + | 0.987579i | \(0.449777\pi\) | |||||||
\(278\) | 4.19945 | + | 15.6726i | 0.251866 | + | 0.939978i | ||||
\(279\) | −6.72010 | + | 24.8559i | −0.402322 | + | 1.48808i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.2359i | 0.729932i | 0.931021 | + | 0.364966i | \(0.118919\pi\) | ||||
−0.931021 | + | 0.364966i | \(0.881081\pi\) | |||||||
\(282\) | −11.9414 | + | 1.55845i | −0.711099 | + | 0.0928041i | ||||
\(283\) | 5.29737 | − | 19.7700i | 0.314896 | − | 1.17521i | −0.609191 | − | 0.793024i | \(-0.708506\pi\) |
0.924086 | − | 0.382184i | \(-0.124828\pi\) | |||||||
\(284\) | −2.09603 | − | 3.63043i | −0.124376 | − | 0.215426i | ||||
\(285\) | 3.96989 | + | 6.01204i | 0.235156 | + | 0.356123i | ||||
\(286\) | −11.3707 | −0.672364 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −3.98305 | + | 2.28768i | −0.234704 | + | 0.134803i | ||||
\(289\) | 8.51250 | + | 4.91470i | 0.500736 | + | 0.289100i | ||||
\(290\) | −1.48035 | + | 0.287809i | −0.0869292 | + | 0.0169008i | ||||
\(291\) | 15.4403 | − | 6.37522i | 0.905124 | − | 0.373722i | ||||
\(292\) | 0.204468 | + | 0.763084i | 0.0119656 | + | 0.0446561i | ||||
\(293\) | −18.3002 | + | 18.3002i | −1.06911 | + | 1.06911i | −0.0716843 | + | 0.997427i | \(0.522837\pi\) |
−0.997427 | + | 0.0716843i | \(0.977163\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.508022 | − | 1.04150i | −0.0295782 | − | 0.0606384i | ||||
\(296\) | 17.6935 | + | 10.2153i | 1.02841 | + | 0.593754i | ||||
\(297\) | 16.0581 | + | 12.4081i | 0.931784 | + | 0.719993i | ||||
\(298\) | 3.34469 | − | 12.4825i | 0.193753 | − | 0.723095i | ||||
\(299\) | 2.73276 | − | 4.73328i | 0.158040 | − | 0.273733i | ||||
\(300\) | −2.36115 | − | 0.0230823i | −0.136321 | − | 0.00133265i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 1.05113 | + | 1.05113i | 0.0604858 | + | 0.0604858i | ||||
\(303\) | −7.85127 | + | 1.02465i | −0.451044 | + | 0.0588649i | ||||
\(304\) | 5.44565 | − | 3.14405i | 0.312329 | − | 0.180323i | ||||
\(305\) | −6.38792 | + | 9.47126i | −0.365771 | + | 0.542323i | ||||
\(306\) | −7.48254 | + | 7.44894i | −0.427748 | + | 0.425827i | ||||
\(307\) | −19.2900 | + | 19.2900i | −1.10094 | + | 1.10094i | −0.106640 | + | 0.994298i | \(0.534009\pi\) |
−0.994298 | + | 0.106640i | \(0.965991\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 17.4083 | + | 2.31178i | 0.990324 | + | 0.131512i | ||||
\(310\) | 16.5487 | + | 19.0356i | 0.939903 | + | 1.08115i | ||||
\(311\) | −21.9700 | + | 12.6844i | −1.24581 | + | 0.719266i | −0.970270 | − | 0.242025i | \(-0.922189\pi\) |
−0.275536 | + | 0.961291i | \(0.588855\pi\) | |||||||
\(312\) | 10.5833 | + | 4.39770i | 0.599160 | + | 0.248971i | ||||
\(313\) | −23.6594 | + | 6.33953i | −1.33731 | + | 0.358331i | −0.855436 | − | 0.517909i | \(-0.826711\pi\) |
−0.481875 | + | 0.876240i | \(0.660044\pi\) | |||||||
\(314\) | 24.6011 | 1.38832 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.37757 | 0.0774942 | ||||||||
\(317\) | 11.6409 | − | 3.11916i | 0.653815 | − | 0.175189i | 0.0833621 | − | 0.996519i | \(-0.473434\pi\) |
0.570453 | + | 0.821330i | \(0.306768\pi\) | |||||||
\(318\) | −4.04689 | − | 1.68161i | −0.226938 | − | 0.0943002i | ||||
\(319\) | −1.73561 | + | 1.00205i | −0.0971753 | + | 0.0561042i | ||||
\(320\) | −1.36767 | + | 19.5693i | −0.0764549 | + | 1.09396i | ||||
\(321\) | 3.03512 | + | 0.403056i | 0.169404 | + | 0.0224964i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.52225 | + | 3.52225i | −0.195983 | + | 0.195983i | ||||
\(324\) | −1.21737 | − | 2.13064i | −0.0676318 | − | 0.118369i | ||||
\(325\) | 6.66655 | + | 8.84541i | 0.369794 | + | 0.490655i | ||||
\(326\) | −14.8271 | + | 8.56041i | −0.821195 | + | 0.474117i | ||||
\(327\) | −9.23346 | + | 1.20504i | −0.510612 | + | 0.0666389i | ||||
\(328\) | −0.651508 | − | 0.651508i | −0.0359735 | − | 0.0359735i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 18.8592 | − | 6.28741i | 1.03816 | − | 0.346111i | ||||
\(331\) | 4.87405 | − | 8.44210i | 0.267902 | − | 0.464020i | −0.700418 | − | 0.713733i | \(-0.747003\pi\) |
0.968320 | + | 0.249713i | \(0.0803364\pi\) | |||||||
\(332\) | −0.914245 | + | 3.41201i | −0.0501757 | + | 0.187258i | ||||
\(333\) | −10.3000 | + | 17.7478i | −0.564439 | + | 0.972576i | ||||
\(334\) | −3.93422 | − | 2.27142i | −0.215271 | − | 0.124287i | ||||
\(335\) | 19.1424 | + | 6.59044i | 1.04586 | + | 0.360074i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.5951 | − | 10.5951i | 0.577152 | − | 0.577152i | −0.356966 | − | 0.934117i | \(-0.616189\pi\) |
0.934117 | + | 0.356966i | \(0.116189\pi\) | |||||||
\(338\) | 2.75281 | + | 10.2736i | 0.149733 | + | 0.558811i | ||||
\(339\) | 17.7337 | − | 7.32216i | 0.963161 | − | 0.397685i | ||||
\(340\) | −0.311574 | − | 1.60258i | −0.0168975 | − | 0.0869122i | ||||
\(341\) | 29.0290 | + | 16.7599i | 1.57201 | + | 0.907599i | ||||
\(342\) | 3.65293 | + | 6.36007i | 0.197528 | + | 0.343913i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 32.1411 | 1.73293 | ||||||||
\(345\) | −1.91524 | + | 9.36160i | −0.103113 | + | 0.504011i | ||||
\(346\) | 6.27880 | + | 10.8752i | 0.337550 | + | 0.584654i | ||||
\(347\) | −5.58508 | + | 20.8438i | −0.299823 | + | 1.11895i | 0.637488 | + | 0.770460i | \(0.279973\pi\) |
−0.937311 | + | 0.348494i | \(0.886693\pi\) | |||||||
\(348\) | 0.240300 | − | 0.0313611i | 0.0128814 | − | 0.00168113i | ||||
\(349\) | − | 28.5116i | − | 1.52619i | −0.646287 | − | 0.763094i | \(-0.723679\pi\) | ||
0.646287 | − | 0.763094i | \(-0.276321\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.44087 | + | 10.6197i | −0.237036 | + | 0.566836i | ||||
\(352\) | 1.54765 | + | 5.77589i | 0.0824898 | + | 0.307856i | ||||
\(353\) | −11.8664 | − | 3.17961i | −0.631587 | − | 0.169233i | −0.0711974 | − | 0.997462i | \(-0.522682\pi\) |
−0.560390 | + | 0.828229i | \(0.689349\pi\) | |||||||
\(354\) | −0.450225 | − | 1.09041i | −0.0239292 | − | 0.0579545i | ||||
\(355\) | 2.39688 | − | 34.2957i | 0.127213 | − | 1.82023i | ||||
\(356\) | − | 3.09474i | − | 0.164021i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.0188 | − | 10.0188i | −0.529512 | − | 0.529512i | ||||
\(359\) | 2.40785 | − | 4.17052i | 0.127081 | − | 0.220112i | −0.795463 | − | 0.606002i | \(-0.792772\pi\) |
0.922545 | + | 0.385890i | \(0.126106\pi\) | |||||||
\(360\) | −19.9849 | − | 1.44191i | −1.05330 | − | 0.0759955i | ||||
\(361\) | −7.76984 | − | 13.4578i | −0.408939 | − | 0.708303i | ||||
\(362\) | −3.63889 | + | 0.975037i | −0.191256 | + | 0.0512468i | ||||
\(363\) | 5.84885 | − | 4.47753i | 0.306985 | − | 0.235010i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.10908 | + | 6.12598i | −0.110394 | + | 0.320648i | ||||
\(366\) | −7.09040 | + | 9.21889i | −0.370621 | + | 0.481879i | ||||
\(367\) | 13.8417 | + | 3.70888i | 0.722532 | + | 0.193602i | 0.601301 | − | 0.799022i | \(-0.294649\pi\) |
0.121231 | + | 0.992624i | \(0.461316\pi\) | |||||||
\(368\) | 8.05588 | + | 2.15857i | 0.419942 | + | 0.112523i | ||||
\(369\) | 0.655833 | − | 0.652888i | 0.0341413 | − | 0.0339880i | ||||
\(370\) | 8.81272 | + | 18.0670i | 0.458151 | + | 0.939259i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −2.46384 | − | 3.21842i | −0.127744 | − | 0.166868i | ||||
\(373\) | 1.12654 | − | 0.301856i | 0.0583301 | − | 0.0156295i | −0.229536 | − | 0.973300i | \(-0.573721\pi\) |
0.287866 | + | 0.957671i | \(0.407054\pi\) | |||||||
\(374\) | 6.87245 | + | 11.9034i | 0.355366 | + | 0.615512i | ||||
\(375\) | −15.9480 | − | 10.9845i | −0.823553 | − | 0.567239i | ||||
\(376\) | 7.90069 | − | 13.6844i | 0.407447 | − | 0.705719i | ||||
\(377\) | −0.803814 | − | 0.803814i | −0.0413985 | − | 0.0413985i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.8744i | 1.27771i | 0.769326 | + | 0.638856i | \(0.220592\pi\) | ||||
−0.769326 | + | 0.638856i | \(0.779408\pi\) | |||||||
\(380\) | −1.13135 | − | 0.0790687i | −0.0580373 | − | 0.00405614i | ||||
\(381\) | 18.3933 | − | 7.59452i | 0.942317 | − | 0.389079i | ||||
\(382\) | 17.7812 | + | 4.76446i | 0.909766 | + | 0.243771i | ||||
\(383\) | −0.460280 | − | 1.71779i | −0.0235192 | − | 0.0877749i | 0.953169 | − | 0.302439i | \(-0.0978009\pi\) |
−0.976688 | + | 0.214664i | \(0.931134\pi\) | |||||||
\(384\) | −1.93079 | + | 14.5394i | −0.0985304 | + | 0.741961i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 12.4981i | − | 0.636137i | ||||||
\(387\) | −0.0726432 | + | 32.2818i | −0.00369266 | + | 1.64098i | ||||
\(388\) | −0.680592 | + | 2.54000i | −0.0345518 | + | 0.128949i | ||||
\(389\) | −12.9155 | − | 22.3704i | −0.654843 | − | 1.13422i | −0.981933 | − | 0.189229i | \(-0.939401\pi\) |
0.327090 | − | 0.944993i | \(-0.393932\pi\) | |||||||
\(390\) | 6.21348 | + | 9.40975i | 0.314632 | + | 0.476481i | ||||
\(391\) | −6.60672 | −0.334116 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.62804 | − | 6.04545i | −0.233454 | − | 0.304953i | ||||
\(394\) | 8.51844 | + | 4.91812i | 0.429153 | + | 0.247772i | ||||
\(395\) | 9.36632 | + | 6.31714i | 0.471271 | + | 0.317850i | ||||
\(396\) | −3.08755 | + | 0.819864i | −0.155155 | + | 0.0411997i | ||||
\(397\) | 6.15207 | + | 22.9598i | 0.308763 | + | 1.15232i | 0.929657 | + | 0.368426i | \(0.120103\pi\) |
−0.620894 | + | 0.783895i | \(0.713230\pi\) | |||||||
\(398\) | 9.59353 | − | 9.59353i | 0.480880 | − | 0.480880i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −10.4047 | + | 13.3195i | −0.520237 | + | 0.665977i | ||||
\(401\) | 6.94186 | + | 4.00789i | 0.346660 | + | 0.200144i | 0.663213 | − | 0.748430i | \(-0.269192\pi\) |
−0.316553 | + | 0.948575i | \(0.602526\pi\) | |||||||
\(402\) | 19.0326 | + | 7.90867i | 0.949260 | + | 0.394448i | ||||
\(403\) | −4.92094 | + | 18.3652i | −0.245129 | + | 0.914835i | ||||
\(404\) | 0.623205 | − | 1.07942i | 0.0310056 | − | 0.0537033i | ||||
\(405\) | 1.49339 | − | 20.0691i | 0.0742073 | − | 0.997243i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 18.8894 | + | 18.8894i | 0.936313 | + | 0.936313i | ||||
\(408\) | −1.79280 | − | 13.7371i | −0.0887568 | − | 0.680087i | ||||
\(409\) | 13.0923 | − | 7.55884i | 0.647372 | − | 0.373761i | −0.140076 | − | 0.990141i | \(-0.544735\pi\) |
0.787449 | + | 0.616380i | \(0.211401\pi\) | |||||||
\(410\) | −0.173010 | − | 0.889877i | −0.00854434 | − | 0.0439479i | ||||
\(411\) | 7.02583 | − | 9.13494i | 0.346559 | − | 0.450593i | ||||
\(412\) | −1.95475 | + | 1.95475i | −0.0963036 | + | 0.0963036i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −2.53890 | + | 9.39073i | −0.124780 | + | 0.461529i | ||||
\(415\) | −21.8626 | + | 19.0064i | −1.07320 | + | 0.932986i | ||||
\(416\) | −2.93735 | + | 1.69588i | −0.144016 | + | 0.0831475i | ||||
\(417\) | 8.20512 | − | 19.7460i | 0.401807 | − | 0.966968i | ||||
\(418\) | 9.22284 | − | 2.47125i | 0.451104 | − | 0.120873i | ||||
\(419\) | −26.4645 | −1.29287 | −0.646437 | − | 0.762967i | \(-0.723742\pi\) | ||||
−0.646437 | + | 0.762967i | \(0.723742\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.4834 | −0.510929 | −0.255464 | − | 0.966818i | \(-0.582228\pi\) | ||||
−0.255464 | + | 0.966818i | \(0.582228\pi\) | |||||||
\(422\) | 5.51726 | − | 1.47835i | 0.268576 | − | 0.0719647i | ||||
\(423\) | 13.7264 | + | 7.96621i | 0.667403 | + | 0.387330i | ||||
\(424\) | 4.97981 | − | 2.87509i | 0.241841 | − | 0.139627i | ||||
\(425\) | 5.23056 | − | 12.3250i | 0.253719 | − | 0.597852i | ||||
\(426\) | 4.60740 | − | 34.6950i | 0.223229 | − | 1.68098i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −0.340809 | + | 0.340809i | −0.0164736 | + | 0.0164736i | ||||
\(429\) | 11.8782 | + | 9.13570i | 0.573484 | + | 0.441076i | ||||
\(430\) | 26.2179 | + | 17.6827i | 1.26434 | + | 0.852738i | ||||
\(431\) | 4.95598 | − | 2.86134i | 0.238721 | − | 0.137826i | −0.375868 | − | 0.926673i | \(-0.622655\pi\) |
0.614589 | + | 0.788848i | \(0.289322\pi\) | |||||||
\(432\) | −17.4067 | − | 2.35144i | −0.837480 | − | 0.113133i | ||||
\(433\) | 0.977454 | + | 0.977454i | 0.0469735 | + | 0.0469735i | 0.730203 | − | 0.683230i | \(-0.239425\pi\) |
−0.683230 | + | 0.730203i | \(0.739425\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.77766 | + | 0.888721i | 0.0852321 | + | 0.0426109i | ||||
\(436\) | 0.732918 | − | 1.26945i | 0.0351004 | − | 0.0607957i | ||||
\(437\) | −1.18785 | + | 4.43312i | −0.0568226 | + | 0.212065i | ||||
\(438\) | −2.53094 | + | 6.09084i | −0.120933 | + | 0.291032i | ||||
\(439\) | −4.91850 | − | 2.83970i | −0.234747 | − | 0.135531i | 0.378013 | − | 0.925800i | \(-0.376608\pi\) |
−0.612760 | + | 0.790269i | \(0.709941\pi\) | |||||||
\(440\) | −8.49133 | + | 24.6637i | −0.404808 | + | 1.17579i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.51285 | + | 5.51285i | −0.262220 | + | 0.262220i | ||||
\(443\) | 5.85218 | + | 21.8406i | 0.278045 | + | 1.03768i | 0.953773 | + | 0.300528i | \(0.0971629\pi\) |
−0.675728 | + | 0.737151i | \(0.736170\pi\) | |||||||
\(444\) | −1.23280 | − | 2.98574i | −0.0585061 | − | 0.141697i | ||||
\(445\) | 14.1916 | − | 21.0417i | 0.672749 | − | 0.997473i | ||||
\(446\) | −18.6026 | − | 10.7402i | −0.880859 | − | 0.508564i | ||||
\(447\) | −13.5230 | + | 10.3524i | −0.639614 | + | 0.489651i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −32.0075 | −1.51053 | −0.755264 | − | 0.655420i | \(-0.772491\pi\) | ||||
−0.755264 | + | 0.655420i | \(0.772491\pi\) | |||||||
\(450\) | −15.5086 | − | 12.1711i | −0.731084 | − | 0.573749i | ||||
\(451\) | −0.602360 | − | 1.04332i | −0.0283640 | − | 0.0491279i | ||||
\(452\) | −0.781684 | + | 2.91728i | −0.0367673 | + | 0.137217i | ||||
\(453\) | −0.253521 | − | 1.94257i | −0.0119114 | − | 0.0912697i | ||||
\(454\) | 18.7024i | 0.877749i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −9.53993 | − | 1.26688i | −0.446748 | − | 0.0593270i | ||||
\(457\) | −1.70934 | − | 6.37935i | −0.0799596 | − | 0.298413i | 0.914352 | − | 0.404919i | \(-0.132700\pi\) |
−0.994312 | + | 0.106506i | \(0.966034\pi\) | |||||||
\(458\) | −22.8277 | − | 6.11666i | −1.06667 | − | 0.285813i | ||||
\(459\) | 13.8013 | − | 1.76960i | 0.644188 | − | 0.0825978i | ||||
\(460\) | −0.986890 | − | 1.13520i | −0.0460140 | − | 0.0529290i | ||||
\(461\) | 28.3844i | 1.32199i | 0.750389 | + | 0.660996i | \(0.229866\pi\) | ||||
−0.750389 | + | 0.660996i | \(0.770134\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.86974 | − | 3.86974i | −0.179842 | − | 0.179842i | 0.611445 | − | 0.791287i | \(-0.290589\pi\) |
−0.791287 | + | 0.611445i | \(0.790589\pi\) | |||||||
\(464\) | 0.867317 | − | 1.50224i | 0.0402642 | − | 0.0697396i | ||||
\(465\) | −1.99324 | − | 33.1811i | −0.0924344 | − | 1.53874i | ||||
\(466\) | 7.60407 | + | 13.1706i | 0.352252 | + | 0.610118i | ||||
\(467\) | 7.96411 | − | 2.13398i | 0.368535 | − | 0.0987486i | −0.0697985 | − | 0.997561i | \(-0.522236\pi\) |
0.438333 | + | 0.898813i | \(0.355569\pi\) | |||||||
\(468\) | −0.902469 | − | 1.57128i | −0.0417167 | − | 0.0726323i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 13.9733 | − | 6.81589i | 0.644540 | − | 0.314393i | ||||
\(471\) | −25.6990 | − | 19.7655i | −1.18415 | − | 0.910747i | ||||
\(472\) | 1.49516 | + | 0.400628i | 0.0688204 | + | 0.0184404i | ||||
\(473\) | 40.5934 | + | 10.8770i | 1.86649 | + | 0.500124i | ||||
\(474\) | 9.11675 | + | 7.01184i | 0.418746 | + | 0.322064i | ||||
\(475\) | −7.32969 | − | 5.72568i | −0.336309 | − | 0.262712i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.87642 | + | 5.00811i | 0.131702 | + | 0.229305i | ||||
\(478\) | 30.5336 | − | 8.18145i | 1.39657 | − | 0.374211i | ||||
\(479\) | −10.8658 | − | 18.8202i | −0.496473 | − | 0.859917i | 0.503519 | − | 0.863984i | \(-0.332039\pi\) |
−0.999992 | + | 0.00406782i | \(0.998705\pi\) | |||||||
\(480\) | 3.93409 | − | 4.43696i | 0.179566 | − | 0.202518i | ||||
\(481\) | −7.57624 | + | 13.1224i | −0.345447 | + | 0.598331i | ||||
\(482\) | −1.31462 | − | 1.31462i | −0.0598792 | − | 0.0598792i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.15953i | 0.0527060i | ||||||||
\(485\) | −16.2752 | + | 14.1489i | −0.739020 | + | 0.642470i | ||||
\(486\) | 2.78841 | − | 20.2970i | 0.126485 | − | 0.920692i | ||||
\(487\) | −8.74077 | − | 2.34208i | −0.396082 | − | 0.106130i | 0.0552796 | − | 0.998471i | \(-0.482395\pi\) |
−0.451362 | + | 0.892341i | \(0.649062\pi\) | |||||||
\(488\) | −3.94963 | − | 14.7402i | −0.178791 | − | 0.667259i | ||||
\(489\) | 22.3666 | + | 2.97022i | 1.01145 | + | 0.134318i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 28.9156i | − | 1.30494i | −0.757814 | − | 0.652471i | \(-0.773732\pi\) | ||
0.757814 | − | 0.652471i | \(-0.226268\pi\) | |||||||
\(492\) | 0.0188520 | + | 0.144451i | 0.000849912 | + | 0.00651233i | ||||
\(493\) | −0.355648 | + | 1.32730i | −0.0160176 | + | 0.0597785i | ||||
\(494\) | 2.70795 | + | 4.69031i | 0.121837 | + | 0.211027i | ||||
\(495\) | −24.7525 | − | 8.58425i | −1.11254 | − | 0.385833i | ||||
\(496\) | −29.0127 | −1.30271 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −23.4177 | + | 17.9272i | −1.04937 | + | 0.803336i | ||||
\(499\) | −27.9320 | − | 16.1266i | −1.25041 | − | 0.721924i | −0.279218 | − | 0.960228i | \(-0.590075\pi\) |
−0.971191 | + | 0.238304i | \(0.923409\pi\) | |||||||
\(500\) | 2.89907 | − | 0.942333i | 0.129651 | − | 0.0421424i | ||||
\(501\) | 2.28485 | + | 5.53371i | 0.102079 | + | 0.247228i | ||||
\(502\) | 3.70408 | + | 13.8238i | 0.165321 | + | 0.616987i | ||||
\(503\) | −7.21038 | + | 7.21038i | −0.321495 | + | 0.321495i | −0.849340 | − | 0.527845i | \(-0.823000\pi\) |
0.527845 | + | 0.849340i | \(0.323000\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.18722 | − | 4.48134i | 0.408826 | − | 0.199417i | ||||
\(506\) | 10.9674 | + | 6.33201i | 0.487558 | + | 0.281492i | ||||
\(507\) | 5.37859 | − | 12.9438i | 0.238871 | − | 0.574856i | ||||
\(508\) | −0.810759 | + | 3.02579i | −0.0359716 | + | 0.134248i | ||||
\(509\) | −11.9373 | + | 20.6761i | −0.529113 | + | 0.916451i | 0.470311 | + | 0.882501i | \(0.344142\pi\) |
−0.999424 | + | 0.0339497i | \(0.989191\pi\) | |||||||
\(510\) | 6.09517 | − | 12.1918i | 0.269899 | − | 0.539863i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −17.9388 | − | 17.9388i | −0.792789 | − | 0.792789i | ||||
\(513\) | 1.29398 | − | 9.57883i | 0.0571308 | − | 0.422916i | ||||
\(514\) | −22.6010 | + | 13.0487i | −0.996888 | + | 0.575553i | ||||
\(515\) | −22.2546 | + | 4.32674i | −0.980656 | + | 0.190659i | ||||
\(516\) | −4.02814 | − | 3.09810i | −0.177329 | − | 0.136386i | ||||
\(517\) | 14.6093 | − | 14.6093i | 0.642518 | − | 0.642518i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.17857 | − | 16.4052i | 0.0956285 | − | 0.720109i | ||||
\(520\) | −14.7596 | − | 1.03153i | −0.647251 | − | 0.0452354i | ||||
\(521\) | 18.3151 | − | 10.5743i | 0.802401 | − | 0.463267i | −0.0419089 | − | 0.999121i | \(-0.513344\pi\) |
0.844310 | + | 0.535855i | \(0.180011\pi\) | |||||||
\(522\) | 1.74994 | + | 1.01558i | 0.0765926 | + | 0.0444509i | ||||
\(523\) | −16.0383 | + | 4.29744i | −0.701305 | + | 0.187914i | −0.591815 | − | 0.806074i | \(-0.701588\pi\) |
−0.109490 | + | 0.993988i | \(0.534922\pi\) | |||||||
\(524\) | 1.19851 | 0.0523571 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 34.4614 | 1.50259 | ||||||||
\(527\) | 22.1998 | − | 5.94842i | 0.967039 | − | 0.259117i | ||||
\(528\) | −8.77432 | + | 21.1159i | −0.381853 | + | 0.918949i | ||||
\(529\) | 14.6469 | − | 8.45641i | 0.636823 | − | 0.367670i | ||||
\(530\) | 5.64385 | + | 0.394440i | 0.245153 | + | 0.0171334i | ||||
\(531\) | −0.405761 | + | 1.50080i | −0.0176085 | + | 0.0651293i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.483193 | − | 0.483193i | 0.0209294 | − | 0.0209294i | ||||
\(534\) | 15.7523 | − | 20.4810i | 0.681669 | − | 0.886301i | ||||
\(535\) | −3.88007 | + | 0.754363i | −0.167750 | + | 0.0326140i | ||||
\(536\) | −23.4201 | + | 13.5216i | −1.01160 | + | 0.584045i | ||||
\(537\) | 2.41643 | + | 18.5155i | 0.104276 | + | 0.799004i | ||||
\(538\) | 0.448074 | + | 0.448074i | 0.0193178 | + | 0.0193178i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 2.36565 | + | 2.10707i | 0.101801 | + | 0.0906737i | ||||
\(541\) | −20.2965 | + | 35.1545i | −0.872613 | + | 1.51141i | −0.0133293 | + | 0.999911i | \(0.504243\pi\) |
−0.859284 | + | 0.511499i | \(0.829090\pi\) | |||||||
\(542\) | −2.01773 | + | 7.53026i | −0.0866687 | + | 0.323452i | ||||
\(543\) | 4.58468 | + | 1.90508i | 0.196747 | + | 0.0817549i | ||||
\(544\) | 3.55067 | + | 2.04998i | 0.152234 | + | 0.0878921i | ||||
\(545\) | 10.8046 | − | 5.27026i | 0.462818 | − | 0.225753i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.28811 | + | 7.28811i | −0.311617 | + | 0.311617i | −0.845536 | − | 0.533919i | \(-0.820719\pi\) |
0.533919 | + | 0.845536i | \(0.320719\pi\) | |||||||
\(548\) | 0.469531 | + | 1.75231i | 0.0200574 | + | 0.0748551i | ||||
\(549\) | 14.8137 | − | 3.93361i | 0.632233 | − | 0.167882i | ||||
\(550\) | −20.4954 | + | 15.4469i | −0.873928 | + | 0.658657i | ||||
\(551\) | 0.826675 | + | 0.477281i | 0.0352175 | + | 0.0203329i | ||||
\(552\) | −7.75892 | − | 10.1352i | −0.330241 | − | 0.431383i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −17.8219 | −0.757181 | ||||||||
\(555\) | 5.30975 | − | 25.9538i | 0.225386 | − | 1.10168i | ||||
\(556\) | 1.68303 | + | 2.91509i | 0.0713762 | + | 0.123627i | ||||
\(557\) | 8.51930 | − | 31.7945i | 0.360975 | − | 1.34718i | −0.511822 | − | 0.859091i | \(-0.671029\pi\) |
0.872797 | − | 0.488084i | \(-0.162304\pi\) | |||||||
\(558\) | 0.0761506 | − | 33.8405i | 0.00322371 | − | 1.43258i | ||||
\(559\) | 23.8376i | 1.00822i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.38455 | − | 17.9563i | 0.100676 | − | 0.758115i | ||||
\(562\) | −4.16218 | − | 15.5335i | −0.175571 | − | 0.655240i | ||||
\(563\) | −13.6232 | − | 3.65033i | −0.574150 | − | 0.153843i | −0.0399510 | − | 0.999202i | \(-0.512720\pi\) |
−0.534199 | + | 0.845359i | \(0.679387\pi\) | |||||||
\(564\) | −2.30921 | + | 0.953465i | −0.0972354 | + | 0.0401481i | ||||
\(565\) | −18.6927 | + | 16.2505i | −0.786406 | + | 0.683665i | ||||
\(566\) | 26.9001i | 1.13069i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 32.4729 | + | 32.4729i | 1.36253 | + | 1.36253i | ||||
\(569\) | 22.7130 | − | 39.3401i | 0.952178 | − | 1.64922i | 0.211481 | − | 0.977382i | \(-0.432171\pi\) |
0.740697 | − | 0.671839i | \(-0.234495\pi\) | |||||||
\(570\) | −7.08485 | − | 6.28189i | −0.296752 | − | 0.263119i | ||||
\(571\) | −11.0051 | − | 19.0614i | −0.460548 | − | 0.797693i | 0.538440 | − | 0.842664i | \(-0.319014\pi\) |
−0.998988 | + | 0.0449706i | \(0.985681\pi\) | |||||||
\(572\) | −2.27854 | + | 0.610532i | −0.0952704 | + | 0.0255276i | ||||
\(573\) | −14.7468 | − | 19.2633i | −0.616057 | − | 0.804734i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.50433 | − | 12.2440i | −0.0627347 | − | 0.510612i | ||||
\(576\) | 18.6521 | − | 18.5684i | 0.777173 | − | 0.773683i | ||||
\(577\) | −38.3331 | − | 10.2713i | −1.59583 | − | 0.427601i | −0.652049 | − | 0.758177i | \(-0.726090\pi\) |
−0.943779 | + | 0.330576i | \(0.892757\pi\) | |||||||
\(578\) | −12.4784 | − | 3.34359i | −0.519034 | − | 0.139075i | ||||
\(579\) | −10.0415 | + | 13.0559i | −0.417311 | + | 0.542585i | ||||
\(580\) | −0.281189 | + | 0.137158i | −0.0116757 | + | 0.00569518i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −17.4328 | + | 13.3455i | −0.722614 | + | 0.553191i | ||||
\(583\) | 7.26234 | − | 1.94594i | 0.300775 | − | 0.0805925i | ||||
\(584\) | −4.32721 | − | 7.49494i | −0.179061 | − | 0.310143i | ||||
\(585\) | 1.06940 | − | 14.8219i | 0.0442142 | − | 0.612809i | ||||
\(586\) | 17.0071 | − | 29.4572i | 0.702559 | − | 1.21687i | ||||
\(587\) | 2.66817 | + | 2.66817i | 0.110127 | + | 0.110127i | 0.760023 | − | 0.649896i | \(-0.225188\pi\) |
−0.649896 | + | 0.760023i | \(0.725188\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 15.9656i | − | 0.657851i | ||||||
\(590\) | 0.999213 | + | 1.14937i | 0.0411369 | + | 0.0473190i | ||||
\(591\) | −4.94719 | − | 11.9817i | −0.203500 | − | 0.492861i | ||||
\(592\) | −22.3339 | − | 5.98435i | −0.917918 | − | 0.245955i | ||||
\(593\) | −3.12571 | − | 11.6653i | −0.128357 | − | 0.479037i | 0.871580 | − | 0.490254i | \(-0.163096\pi\) |
−0.999937 | + | 0.0112174i | \(0.996429\pi\) | |||||||
\(594\) | −24.6065 | − | 10.2898i | −1.00962 | − | 0.422196i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 2.68092i | − | 0.109815i | ||||||
\(597\) | −17.7295 | + | 2.31385i | −0.725622 | + | 0.0946994i | ||||
\(598\) | −1.85916 | + | 6.93849i | −0.0760269 | + | 0.283736i | ||||
\(599\) | 16.3639 | + | 28.3431i | 0.668610 | + | 1.15807i | 0.978293 | + | 0.207226i | \(0.0664436\pi\) |
−0.309683 | + | 0.950840i | \(0.600223\pi\) | |||||||
\(600\) | 25.0503 | − | 6.45042i | 1.02267 | − | 0.263337i | ||||
\(601\) | 46.3697 | 1.89146 | 0.945729 | − | 0.324956i | \(-0.105349\pi\) | ||||
0.945729 | + | 0.324956i | \(0.105349\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −13.5279 | − | 23.5532i | −0.550898 | − | 0.959161i | ||||
\(604\) | 0.267071 | + | 0.154194i | 0.0108670 | + | 0.00627406i | ||||
\(605\) | −5.31730 | + | 7.88386i | −0.216179 | + | 0.320525i | ||||
\(606\) | 9.61866 | − | 3.97151i | 0.390731 | − | 0.161331i | ||||
\(607\) | −4.19997 | − | 15.6745i | −0.170471 | − | 0.636208i | −0.997279 | − | 0.0737227i | \(-0.976512\pi\) |
0.826807 | − | 0.562485i | \(-0.190155\pi\) | |||||||
\(608\) | 2.01393 | − | 2.01393i | 0.0816756 | − | 0.0816756i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.88771 | − | 14.1967i | 0.197898 | − | 0.574808i | ||||
\(611\) | 10.1491 | + | 5.85957i | 0.410588 | + | 0.237053i | ||||
\(612\) | −1.09944 | + | 1.89443i | −0.0444422 | + | 0.0765777i | ||||
\(613\) | 3.56775 | − | 13.3150i | 0.144100 | − | 0.537789i | −0.855694 | − | 0.517483i | \(-0.826869\pi\) |
0.999794 | − | 0.0203066i | \(-0.00646422\pi\) | |||||||
\(614\) | 17.9270 | − | 31.0504i | 0.723473 | − | 1.25309i | ||||
\(615\) | −0.534233 | + | 1.06859i | −0.0215423 | + | 0.0430899i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 10.5782 | + | 10.5782i | 0.425862 | + | 0.425862i | 0.887216 | − | 0.461354i | \(-0.152636\pi\) |
−0.461354 | + | 0.887216i | \(0.652636\pi\) | |||||||
\(618\) | −22.8863 | + | 2.98684i | −0.920620 | + | 0.120148i | ||||
\(619\) | −25.0531 | + | 14.4644i | −1.00697 | + | 0.581375i | −0.910303 | − | 0.413942i | \(-0.864152\pi\) |
−0.0966677 | + | 0.995317i | \(0.530818\pi\) | |||||||
\(620\) | 4.33822 | + | 2.92593i | 0.174227 | + | 0.117508i | ||||
\(621\) | 10.1971 | − | 7.76998i | 0.409196 | − | 0.311798i | ||||
\(622\) | 23.5762 | − | 23.5762i | 0.945321 | − | 0.945321i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −12.8573 | − | 1.70742i | −0.514704 | − | 0.0683514i | ||||
\(625\) | 24.0326 | + | 6.88727i | 0.961304 | + | 0.275491i | ||||
\(626\) | 27.8792 | − | 16.0961i | 1.11428 | − | 0.643329i | ||||
\(627\) | −11.6200 | − | 4.82847i | −0.464057 | − | 0.192831i | ||||
\(628\) | 4.92972 | − | 1.32091i | 0.196717 | − | 0.0527102i | ||||
\(629\) | 18.3163 | 0.730318 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.13783 | −0.164724 | −0.0823622 | − | 0.996602i | \(-0.526246\pi\) | ||||
−0.0823622 | + | 0.996602i | \(0.526246\pi\) | |||||||
\(632\) | −14.5769 | + | 3.90587i | −0.579838 | + | 0.155367i | ||||
\(633\) | −6.95126 | − | 2.88847i | −0.276288 | − | 0.114806i | ||||
\(634\) | −13.7171 | + | 7.91955i | −0.544774 | + | 0.314526i | ||||
\(635\) | −19.3879 | + | 16.8550i | −0.769387 | + | 0.668870i | ||||
\(636\) | −0.901234 | − | 0.119681i | −0.0357362 | − | 0.00474568i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 1.86249 | − | 1.86249i | 0.0737369 | − | 0.0737369i | ||||
\(639\) | −32.6884 | + | 32.5416i | −1.29313 | + | 1.28733i | ||||
\(640\) | −3.61369 | − | 18.5870i | −0.142844 | − | 0.734717i | ||||
\(641\) | −0.533980 | + | 0.308293i | −0.0210909 | + | 0.0121769i | −0.510508 | − | 0.859873i | \(-0.670543\pi\) |
0.489417 | + | 0.872050i | \(0.337209\pi\) | |||||||
\(642\) | −3.99019 | + | 0.520752i | −0.157480 | + | 0.0205525i | ||||
\(643\) | 12.1411 | + | 12.1411i | 0.478799 | + | 0.478799i | 0.904747 | − | 0.425949i | \(-0.140060\pi\) |
−0.425949 | + | 0.904747i | \(0.640060\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −13.1809 | − | 39.5365i | −0.518999 | − | 1.55675i | ||||
\(646\) | 3.27337 | − | 5.66964i | 0.128789 | − | 0.223069i | ||||
\(647\) | −7.54222 | + | 28.1479i | −0.296515 | + | 1.10661i | 0.643492 | + | 0.765453i | \(0.277485\pi\) |
−0.940007 | + | 0.341156i | \(0.889182\pi\) | |||||||
\(648\) | 18.9229 | + | 19.0940i | 0.743361 | + | 0.750082i | ||||
\(649\) | 1.75277 | + | 1.01196i | 0.0688024 | + | 0.0397231i | ||||
\(650\) | −11.4721 | − | 8.96155i | −0.449971 | − | 0.351501i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.51151 | + | 2.51151i | −0.0983581 | + | 0.0983581i | ||||
\(653\) | −3.91588 | − | 14.6142i | −0.153240 | − | 0.571900i | −0.999250 | − | 0.0387320i | \(-0.987668\pi\) |
0.846010 | − | 0.533168i | \(-0.178999\pi\) | |||||||
\(654\) | 11.3120 | − | 4.67067i | 0.442334 | − | 0.182638i | ||||
\(655\) | 8.14887 | + | 5.49603i | 0.318403 | + | 0.214748i | ||||
\(656\) | 0.903034 | + | 0.521367i | 0.0352575 | + | 0.0203560i | ||||
\(657\) | 7.53753 | − | 4.32921i | 0.294067 | − | 0.168899i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.05597 | 0.235907 | 0.117954 | − | 0.993019i | \(-0.462367\pi\) | ||||
0.117954 | + | 0.993019i | \(0.462367\pi\) | |||||||
\(660\) | 3.44154 | − | 2.27253i | 0.133962 | − | 0.0884580i | ||||
\(661\) | 10.7793 | + | 18.6702i | 0.419264 | + | 0.726187i | 0.995866 | − | 0.0908385i | \(-0.0289547\pi\) |
−0.576601 | + | 0.817026i | \(0.695621\pi\) | |||||||
\(662\) | −3.31593 | + | 12.3752i | −0.128877 | + | 0.480977i | ||||
\(663\) | 10.1881 | − | 1.32964i | 0.395675 | − | 0.0516388i | ||||
\(664\) | − | 38.6968i | − | 1.50173i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 7.03878 | − | 26.0346i | 0.272747 | − | 1.00882i | ||||
\(667\) | 0.327681 | + | 1.22292i | 0.0126878 | + | 0.0473517i | ||||
\(668\) | −0.910324 | − | 0.243921i | −0.0352215 | − | 0.00943757i | ||||
\(669\) | 10.8037 | + | 26.1657i | 0.417695 | + | 1.01162i | ||||
\(670\) | −26.5431 | − | 1.85506i | −1.02545 | − | 0.0716672i | ||||
\(671\) | − | 19.9531i | − | 0.770282i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.8200 | + | 14.8200i | 0.571271 | + | 0.571271i | 0.932483 | − | 0.361213i | \(-0.117637\pi\) |
−0.361213 | + | 0.932483i | \(0.617637\pi\) | |||||||
\(674\) | −9.84644 | + | 17.0545i | −0.379271 | + | 0.656916i | ||||
\(675\) | 6.42204 | + | 25.1745i | 0.247185 | + | 0.968968i | ||||
\(676\) | 1.10325 | + | 1.91089i | 0.0424327 | + | 0.0734956i | ||||
\(677\) | −0.205811 | + | 0.0551469i | −0.00790997 | + | 0.00211947i | −0.262772 | − | 0.964858i | \(-0.584637\pi\) |
0.254862 | + | 0.966977i | \(0.417970\pi\) | |||||||
\(678\) | −20.0222 | + | 15.3278i | −0.768948 | + | 0.588661i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 7.84083 | + | 16.0745i | 0.300682 | + | 0.616430i | ||||
\(681\) | 15.0263 | − | 19.5371i | 0.575810 | − | 0.748664i | ||||
\(682\) | −42.5534 | − | 11.4022i | −1.62945 | − | 0.436611i | ||||
\(683\) | −37.2748 | − | 9.98776i | −1.42628 | − | 0.382171i | −0.538573 | − | 0.842579i | \(-0.681037\pi\) |
−0.887708 | + | 0.460408i | \(0.847703\pi\) | |||||||
\(684\) | 1.07349 | + | 1.07833i | 0.0410460 | + | 0.0412311i | ||||
\(685\) | −4.84320 | + | 14.0674i | −0.185049 | + | 0.537488i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 18.9321 | + | 24.7304i | 0.722305 | + | 0.943522i | ||||
\(688\) | −35.1353 | + | 9.41447i | −1.33952 | + | 0.358923i | ||||
\(689\) | 2.13232 | + | 3.69329i | 0.0812350 | + | 0.140703i | ||||
\(690\) | −0.753061 | − | 12.5361i | −0.0286685 | − | 0.477239i | ||||
\(691\) | −10.7637 | + | 18.6432i | −0.409469 | + | 0.709220i | −0.994830 | − | 0.101552i | \(-0.967619\pi\) |
0.585362 | + | 0.810772i | \(0.300953\pi\) | |||||||
\(692\) | 1.84211 | + | 1.84211i | 0.0700266 | + | 0.0700266i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 28.3611i | − | 1.07657i | ||||||
\(695\) | −1.92460 | + | 27.5381i | −0.0730041 | + | 1.04458i | ||||
\(696\) | −2.45385 | + | 1.01318i | −0.0930129 | + | 0.0384046i | ||||
\(697\) | −0.797873 | − | 0.213789i | −0.0302216 | − | 0.00809785i | ||||
\(698\) | 9.69855 | + | 36.1955i | 0.367095 | + | 1.37002i | ||||
\(699\) | 2.63840 | − | 19.8679i | 0.0997934 | − | 0.751472i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 5.55742i | 0.209901i | 0.994477 | + | 0.104951i | \(0.0334684\pi\) | ||||
−0.994477 | + | 0.104951i | \(0.966532\pi\) | |||||||
\(702\) | 2.02528 | − | 14.9923i | 0.0764393 | − | 0.565848i | ||||
\(703\) | 3.29316 | − | 12.2903i | 0.124204 | − | 0.463536i | ||||
\(704\) | −17.1313 | − | 29.6724i | −0.645662 | − | 1.11832i | ||||
\(705\) | −20.0731 | − | 4.10664i | −0.755996 | − | 0.154665i | ||||
\(706\) | 16.1461 | 0.607665 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −0.148767 | − | 0.194329i | −0.00559100 | − | 0.00730333i | ||||
\(709\) | −33.7512 | − | 19.4863i | −1.26755 | − | 0.731822i | −0.293028 | − | 0.956104i | \(-0.594663\pi\) |
−0.974524 | + | 0.224282i | \(0.927996\pi\) | |||||||
\(710\) | 8.62326 | + | 44.3538i | 0.323625 | + | 1.66457i | ||||
\(711\) | −3.89002 | − | 14.6495i | −0.145887 | − | 0.549401i | ||||
\(712\) | 8.77465 | + | 32.7475i | 0.328844 | + | 1.22726i | ||||
\(713\) | 14.9734 | − | 14.9734i | 0.560758 | − | 0.560758i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −18.2919 | − | 6.29763i | −0.684078 | − | 0.235518i | ||||
\(716\) | −2.54559 | − | 1.46969i | −0.0951330 | − | 0.0549251i | ||||
\(717\) | −38.4696 | − | 15.9854i | −1.43667 | − | 0.596984i | ||||
\(718\) | −1.63812 | + | 6.11354i | −0.0611340 | + | 0.228155i | ||||
\(719\) | −6.37639 | + | 11.0442i | −0.237799 | + | 0.411881i | −0.960083 | − | 0.279717i | \(-0.909759\pi\) |
0.722283 | + | 0.691597i | \(0.243093\pi\) | |||||||
\(720\) | 22.2690 | − | 4.27755i | 0.829915 | − | 0.159415i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 14.4417 | + | 14.4417i | 0.537463 | + | 0.537463i | ||||
\(723\) | 0.317070 | + | 2.42951i | 0.0117920 | + | 0.0903543i | ||||
\(724\) | −0.676831 | + | 0.390769i | −0.0251542 | + | 0.0145228i | ||||
\(725\) | −2.54082 | − | 0.356892i | −0.0943637 | − | 0.0132546i | ||||
\(726\) | −5.90204 | + | 7.67379i | −0.219045 | + | 0.284801i | ||||
\(727\) | −7.96907 | + | 7.96907i | −0.295557 | + | 0.295557i | −0.839271 | − | 0.543714i | \(-0.817018\pi\) |
0.543714 | + | 0.839271i | \(0.317018\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −19.2203 | + | 18.9626i | −0.711864 | + | 0.702317i | ||||
\(730\) | 0.593659 | − | 8.49437i | 0.0219723 | − | 0.314391i | ||||
\(731\) | 24.9544 | − | 14.4074i | 0.922971 | − | 0.532877i | ||||
\(732\) | −0.925826 | + | 2.22805i | −0.0342195 | + | 0.0823510i | ||||
\(733\) | 5.23810 | − | 1.40354i | 0.193474 | − | 0.0518411i | −0.160781 | − | 0.986990i | \(-0.551401\pi\) |
0.354255 | + | 0.935149i | \(0.384735\pi\) | |||||||
\(734\) | −18.8337 | −0.695165 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.77754 | 0.139242 | ||||||||
\(737\) | −34.1549 | + | 9.15178i | −1.25811 | + | 0.337110i | ||||
\(738\) | −0.610493 | + | 1.05193i | −0.0224726 | + | 0.0387221i | ||||
\(739\) | −12.8892 | + | 7.44158i | −0.474136 | + | 0.273743i | −0.717970 | − | 0.696074i | \(-0.754928\pi\) |
0.243833 | + | 0.969817i | \(0.421595\pi\) | |||||||
\(740\) | 2.73603 | + | 3.14720i | 0.100578 | + | 0.115693i | ||||
\(741\) | 0.939584 | − | 7.07532i | 0.0345165 | − | 0.259918i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −22.4301 | + | 22.4301i | −0.822879 | + | 0.822879i | −0.986520 | − | 0.163641i | \(-0.947676\pi\) |
0.163641 | + | 0.986520i | \(0.447676\pi\) | |||||||
\(744\) | 35.1967 | + | 27.0704i | 1.29037 | + | 0.992448i | ||||
\(745\) | 12.2940 | − | 18.2281i | 0.450416 | − | 0.667824i | ||||
\(746\) | −1.32747 | + | 0.766412i | −0.0486020 | + | 0.0280604i | ||||
\(747\) | 38.8662 | + | 0.0874599i | 1.42204 | + | 0.00319999i | ||||
\(748\) | 2.01628 | + | 2.01628i | 0.0737225 | + | 0.0737225i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 23.9826 | + | 8.51997i | 0.875720 | + | 0.311105i | ||||
\(751\) | 21.2065 | − | 36.7307i | 0.773836 | − | 1.34032i | −0.161610 | − | 0.986855i | \(-0.551669\pi\) |
0.935446 | − | 0.353469i | \(-0.114998\pi\) | |||||||
\(752\) | −4.62839 | + | 17.2734i | −0.168780 | + | 0.629895i | ||||
\(753\) | 7.23724 | − | 17.4168i | 0.263740 | − | 0.634703i | ||||
\(754\) | 1.29387 | + | 0.747017i | 0.0471200 | + | 0.0272047i | ||||
\(755\) | 1.10878 | + | 2.27311i | 0.0403525 | + | 0.0827268i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.4589 | − | 13.4589i | 0.489171 | − | 0.489171i | −0.418873 | − | 0.908045i | \(-0.637575\pi\) |
0.908045 | + | 0.418873i | \(0.137575\pi\) | |||||||
\(758\) | −8.46132 | − | 31.5781i | −0.307329 | − | 1.14697i | ||||
\(759\) | −6.36943 | − | 15.4262i | −0.231196 | − | 0.559937i | ||||
\(760\) | 12.1958 | − | 2.37110i | 0.442387 | − | 0.0860088i | ||||
\(761\) | 29.3030 | + | 16.9181i | 1.06223 | + | 0.613280i | 0.926049 | − | 0.377404i | \(-0.123183\pi\) |
0.136183 | + | 0.990684i | \(0.456516\pi\) | |||||||
\(762\) | −20.7669 | + | 15.8979i | −0.752307 | + | 0.575922i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 3.81893 | 0.138164 | ||||||||
\(765\) | −16.1626 | + | 7.83882i | −0.584361 | + | 0.283413i | ||||
\(766\) | 1.16865 | + | 2.02417i | 0.0422252 | + | 0.0731361i | ||||
\(767\) | −0.297127 | + | 1.10889i | −0.0107286 | + | 0.0400398i | ||||
\(768\) | 1.43825 | + | 11.0204i | 0.0518984 | + | 0.397664i | ||||
\(769\) | − | 3.27472i | − | 0.118090i | −0.998255 | − | 0.0590448i | \(-0.981195\pi\) | ||
0.998255 | − | 0.0590448i | \(-0.0188055\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 34.0935 | + | 4.52753i | 1.22785 | + | 0.163055i | ||||
\(772\) | −0.671066 | − | 2.50445i | −0.0241522 | − | 0.0901372i | ||||
\(773\) | 1.84459 | + | 0.494257i | 0.0663454 | + | 0.0177772i | 0.291839 | − | 0.956467i | \(-0.405733\pi\) |
−0.225494 | + | 0.974245i | \(0.572399\pi\) | |||||||
\(774\) | −10.8888 | − | 41.0066i | −0.391391 | − | 1.47395i | ||||
\(775\) | 16.0788 | + | 39.7878i | 0.577569 | + | 1.42922i | ||||
\(776\) | − | 28.8071i | − | 1.03411i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 24.0058 | + | 24.0058i | 0.860651 | + | 0.860651i | ||||
\(779\) | −0.286906 | + | 0.496936i | −0.0102795 | + | 0.0178046i | ||||
\(780\) | 1.75034 | + | 1.55196i | 0.0626721 | + | 0.0555692i | ||||
\(781\) | 30.0232 | + | 52.0017i | 1.07431 | + | 1.86077i | ||||
\(782\) | 8.38724 | − | 2.24735i | 0.299927 | − | 0.0803652i | ||||
\(783\) | −1.01207 | − | 2.46688i | −0.0361686 | − | 0.0881591i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 39.5754 | + | 13.6252i | 1.41251 | + | 0.486304i | ||||
\(786\) | 7.93174 | + | 6.10043i | 0.282916 | + | 0.217595i | ||||
\(787\) | 21.6879 | + | 5.81125i | 0.773089 | + | 0.207149i | 0.623736 | − | 0.781635i | \(-0.285614\pi\) |
0.149354 | + | 0.988784i | \(0.452281\pi\) | |||||||
\(788\) | 1.97105 | + | 0.528142i | 0.0702158 | + | 0.0188143i | ||||
\(789\) | −35.9994 | − | 27.6878i | −1.28161 | − | 0.985710i | ||||
\(790\) | −14.0394 | − | 4.83356i | −0.499500 | − | 0.171970i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 30.3467 | − | 17.4297i | 1.07832 | − | 0.619339i | ||||
\(793\) | 10.9321 | − | 2.92926i | 0.388212 | − | 0.104021i | ||||
\(794\) | −15.6201 | − | 27.0548i | −0.554337 | − | 0.960140i | ||||
\(795\) | −5.57882 | − | 4.94655i | −0.197860 | − | 0.175436i | ||||
\(796\) | 1.40731 | − | 2.43752i | 0.0498806 | − | 0.0863957i | ||||
\(797\) | 13.6812 | + | 13.6812i | 0.484611 | + | 0.484611i | 0.906601 | − | 0.421989i | \(-0.138668\pi\) |
−0.421989 | + | 0.906601i | \(0.638668\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 14.1661i | − | 0.501160i | ||||||
\(800\) | −2.99069 | + | 7.04712i | −0.105737 | + | 0.249153i | ||||
\(801\) | −32.9106 | + | 8.73905i | −1.16284 | + | 0.308779i | ||||
\(802\) | −10.1760 | − | 2.72666i | −0.359328 | − | 0.0962818i | ||||
\(803\) | −2.92877 | − | 10.9303i | −0.103354 | − | 0.385722i | ||||
\(804\) | 4.23852 | + | 0.562864i | 0.149481 | + | 0.0198507i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | − | 24.9885i | − | 0.880184i | ||||||
\(807\) | −0.108070 | − | 0.828072i | −0.00380424 | − | 0.0291495i | ||||
\(808\) | −3.53400 | + | 13.1891i | −0.124326 | + | 0.463989i | ||||
\(809\) | 23.1365 | + | 40.0737i | 0.813438 | + | 1.40892i | 0.910444 | + | 0.413632i | \(0.135740\pi\) |
−0.0970065 | + | 0.995284i | \(0.530927\pi\) | |||||||
\(810\) | 4.93089 | + | 25.9858i | 0.173254 | + | 0.913047i | ||||
\(811\) | −29.6188 | −1.04006 | −0.520028 | − | 0.854149i | \(-0.674078\pi\) | ||||
−0.520028 | + | 0.854149i | \(0.674078\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.15790 | − | 6.24520i | 0.286110 | − | 0.219029i | ||||
\(814\) | −30.4056 | − | 17.5547i | −1.06572 | − | 0.615291i | ||||
\(815\) | −28.5932 | + | 5.55909i | −1.00158 | + | 0.194727i | ||||
\(816\) | 5.98354 | + | 14.4916i | 0.209466 | + | 0.507309i | ||||
\(817\) | −5.18074 | − | 19.3348i | −0.181251 | − | 0.676439i | ||||
\(818\) | −14.0495 | + | 14.0495i | −0.491228 | + | 0.491228i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.0824493 | − | 0.169030i | −0.00287925 | − | 0.00590277i | ||||
\(821\) | 47.2841 | + | 27.2995i | 1.65023 | + | 0.952759i | 0.976977 | + | 0.213343i | \(0.0684353\pi\) |
0.673250 | + | 0.739415i | \(0.264898\pi\) | |||||||
\(822\) | −5.81194 | + | 13.9867i | −0.202715 | + | 0.487843i | ||||
\(823\) | 9.08855 | − | 33.9189i | 0.316807 | − | 1.18234i | −0.605489 | − | 0.795854i | \(-0.707022\pi\) |
0.922296 | − | 0.386485i | \(-0.126311\pi\) | |||||||
\(824\) | 15.1421 | − | 26.2268i | 0.527499 | − | 0.913655i | ||||
\(825\) | 33.8208 | + | 0.330627i | 1.17749 | + | 0.0115109i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −15.5901 | − | 15.5901i | −0.542122 | − | 0.542122i | 0.382028 | − | 0.924151i | \(-0.375226\pi\) |
−0.924151 | + | 0.382028i | \(0.875226\pi\) | |||||||
\(828\) | −0.00454128 | + | 2.01810i | −0.000157821 | + | 0.0701337i | ||||
\(829\) | −12.0710 | + | 6.96918i | −0.419242 | + | 0.242050i | −0.694753 | − | 0.719248i | \(-0.744486\pi\) |
0.275511 | + | 0.961298i | \(0.411153\pi\) | |||||||
\(830\) | 21.2894 | − | 31.5655i | 0.738967 | − | 1.09565i | ||||
\(831\) | 18.6173 | + | 14.3189i | 0.645827 | + | 0.496716i | ||||
\(832\) | 13.7422 | − | 13.7422i | 0.476426 | − | 0.476426i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −3.69956 | + | 27.8587i | −0.128105 | + | 0.964668i | ||||
\(835\) | −5.07090 | − | 5.83296i | −0.175486 | − | 0.201858i | ||||
\(836\) | 1.71544 | − | 0.990411i | 0.0593298 | − | 0.0342541i | ||||
\(837\) | −27.2684 | + | 35.2896i | −0.942535 | + | 1.21979i | ||||
\(838\) | 33.5967 | − | 9.00220i | 1.16058 | − | 0.310976i | ||||
\(839\) | −8.40213 | −0.290074 | −0.145037 | − | 0.989426i | \(-0.546330\pi\) | ||||
−0.145037 | + | 0.989426i | \(0.546330\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.7367 | −0.990920 | ||||||||
\(842\) | 13.3087 | − | 3.56605i | 0.458647 | − | 0.122894i | ||||
\(843\) | −8.13230 | + | 19.5708i | −0.280091 | + | 0.674054i | ||||
\(844\) | 1.02621 | − | 0.592481i | 0.0353235 | − | 0.0203940i | ||||
\(845\) | −1.26160 | + | 18.0517i | −0.0434005 | + | 0.620996i | ||||
\(846\) | −20.1355 | − | 5.44390i | −0.692274 | − | 0.187165i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −4.60156 | + | 4.60156i | −0.158018 | + | 0.158018i | ||||
\(849\) | 21.6126 | − | 28.1006i | 0.741744 | − | 0.964411i | ||||
\(850\) | −2.44769 | + | 17.4259i | −0.0839552 | + | 0.597703i | ||||
\(851\) | 14.6150 | − | 8.43796i | 0.500995 | − | 0.289249i | ||||
\(852\) | −0.939631 | − | 7.19980i | −0.0321912 | − | 0.246661i | ||||
\(853\) | −1.24579 | − | 1.24579i | −0.0426549 | − | 0.0426549i | 0.685458 | − | 0.728113i | \(-0.259602\pi\) |
−0.728113 | + | 0.685458i | \(0.759602\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.35391 | + | 12.2545i | 0.0805022 | + | 0.419095i | ||||
\(856\) | 2.64000 | − | 4.57262i | 0.0902334 | − | 0.156289i | ||||
\(857\) | 2.22316 | − | 8.29696i | 0.0759419 | − | 0.283419i | −0.917503 | − | 0.397728i | \(-0.869799\pi\) |
0.993445 | + | 0.114309i | \(0.0364654\pi\) | |||||||
\(858\) | −18.1870 | − | 7.55728i | −0.620894 | − | 0.258001i | ||||
\(859\) | −17.0233 | − | 9.82840i | −0.580827 | − | 0.335341i | 0.180635 | − | 0.983550i | \(-0.442185\pi\) |
−0.761462 | + | 0.648209i | \(0.775518\pi\) | |||||||
\(860\) | 6.20316 | + | 2.13565i | 0.211526 | + | 0.0728252i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −5.31831 | + | 5.31831i | −0.181142 | + | 0.181142i | ||||
\(863\) | −7.06489 | − | 26.3665i | −0.240492 | − | 0.897527i | −0.975596 | − | 0.219573i | \(-0.929534\pi\) |
0.735105 | − | 0.677954i | \(-0.237133\pi\) | |||||||
\(864\) | −7.89119 | + | 1.01181i | −0.268464 | + | 0.0344224i | ||||
\(865\) | 4.07743 | + | 20.9723i | 0.138637 | + | 0.713079i | ||||
\(866\) | −1.57337 | − | 0.908387i | −0.0534654 | − | 0.0308682i | ||||
\(867\) | 10.3490 | + | 13.5185i | 0.351469 | + | 0.459112i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −19.7321 | −0.669364 | ||||||||
\(870\) | −2.55905 | − | 0.523541i | −0.0867598 | − | 0.0177497i | ||||
\(871\) | −10.0284 | − | 17.3696i | −0.339798 | − | 0.588547i | ||||
\(872\) | −4.15615 | + | 15.5109i | −0.140745 | + | 0.525267i | ||||
\(873\) | 28.9332 | + | 0.0651078i | 0.979241 | + | 0.00220357i | ||||
\(874\) | − | 6.03191i | − | 0.204032i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −0.180129 | + | 1.35642i | −0.00608598 | + | 0.0458291i | ||||
\(877\) | 0.973098 | + | 3.63165i | 0.0328592 | + | 0.122632i | 0.980407 | − | 0.196981i | \(-0.0631137\pi\) |
−0.947548 | + | 0.319613i | \(0.896447\pi\) | |||||||
\(878\) | 7.21001 | + | 1.93192i | 0.243326 | + | 0.0651990i | ||||
\(879\) | −41.4333 | + | 17.1077i | −1.39751 | + | 0.577027i | ||||
\(880\) | 2.05811 | − | 29.4484i | 0.0693788 | − | 0.992707i | ||||
\(881\) | − | 23.1988i | − | 0.781586i | −0.920479 | − | 0.390793i | \(-0.872201\pi\) | ||
0.920479 | − | 0.390793i | \(-0.127799\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.7408 | − | 12.7408i | −0.428761 | − | 0.428761i | 0.459445 | − | 0.888206i | \(-0.348048\pi\) |
−0.888206 | + | 0.459445i | \(0.848048\pi\) | |||||||
\(884\) | −0.808698 | + | 1.40071i | −0.0271994 | + | 0.0471108i | ||||
\(885\) | −0.120352 | − | 2.00348i | −0.00404560 | − | 0.0673462i | ||||
\(886\) | −14.8587 | − | 25.7360i | −0.499188 | − | 0.864618i | ||||
\(887\) | −40.7584 | + | 10.9212i | −1.36853 | + | 0.366697i | −0.866942 | − | 0.498409i | \(-0.833918\pi\) |
−0.501589 | + | 0.865106i | \(0.667251\pi\) | |||||||
\(888\) | 21.5106 | + | 28.0986i | 0.721849 | + | 0.942927i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −10.8587 | + | 31.5399i | −0.363985 | + | 1.05722i | ||||
\(891\) | 17.4375 | + | 30.5190i | 0.584177 | + | 1.02242i | ||||
\(892\) | −4.30439 | − | 1.15336i | −0.144122 | − | 0.0386173i | ||||
\(893\) | −9.50546 | − | 2.54698i | −0.318088 | − | 0.0852315i | ||||
\(894\) | 13.6459 | − | 17.7424i | 0.456388 | − | 0.593393i | ||||
\(895\) | −10.5683 | − | 21.6661i | −0.353258 | − | 0.724217i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.51681 | − | 5.75443i | 0.250979 | − | 0.192135i | ||||
\(898\) | 40.6336 | − | 10.8877i | 1.35596 | − | 0.363329i | ||||
\(899\) | −2.20214 | − | 3.81421i | −0.0734453 | − | 0.127211i | ||||
\(900\) | −3.76123 | − | 1.60621i | −0.125374 | − | 0.0535402i | ||||
\(901\) | 2.57755 | − | 4.46444i | 0.0858706 | − | 0.148732i | ||||
\(902\) | 1.11959 | + | 1.11959i | 0.0372784 | + | 0.0372784i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 33.0860i | − | 1.10042i | ||||||
\(905\) | −6.39385 | − | 0.446857i | −0.212539 | − | 0.0148540i | ||||
\(906\) | 0.982632 | + | 2.37985i | 0.0326458 | + | 0.0790653i | ||||
\(907\) | −26.6702 | − | 7.14625i | −0.885568 | − | 0.237287i | −0.212760 | − | 0.977104i | \(-0.568245\pi\) |
−0.672808 | + | 0.739817i | \(0.734912\pi\) | |||||||
\(908\) | 1.00420 | + | 3.74772i | 0.0333255 | + | 0.124372i | ||||
\(909\) | −13.2388 | − | 3.57928i | −0.439104 | − | 0.118717i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 34.8909i | − | 1.15599i | −0.816042 | − | 0.577993i | \(-0.803836\pi\) | ||
0.816042 | − | 0.577993i | \(-0.196164\pi\) | |||||||
\(912\) | 10.7997 | − | 1.40945i | 0.357614 | − | 0.0466715i | ||||
\(913\) | 13.0955 | − | 48.8731i | 0.433398 | − | 1.61746i | ||||
\(914\) | 4.34002 | + | 7.51714i | 0.143555 | + | 0.248645i | ||||
\(915\) | −16.5121 | + | 10.9033i | −0.545872 | + | 0.360452i | ||||
\(916\) | −4.90279 | −0.161993 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −16.9188 | + | 6.94117i | −0.558403 | + | 0.229093i | ||||
\(919\) | 37.9008 | + | 21.8821i | 1.25023 | + | 0.721822i | 0.971156 | − | 0.238446i | \(-0.0766381\pi\) |
0.279077 | + | 0.960269i | \(0.409971\pi\) | |||||||
\(920\) | 13.6616 | + | 9.21410i | 0.450409 | + | 0.303780i | ||||
\(921\) | −43.6742 | + | 18.0329i | −1.43911 | + | 0.594204i | ||||
\(922\) | −9.65528 | − | 36.0340i | −0.317980 | − | 1.18672i | ||||
\(923\) | −24.0836 | + | 24.0836i | −0.792722 | + | 0.792722i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.17055 | + | 33.9450i | 0.137127 | + | 1.11611i | ||||
\(926\) | 6.22899 | + | 3.59631i | 0.204697 | + | 0.118182i | ||||
\(927\) | 26.3074 | + | 15.2676i | 0.864049 | + | 0.501455i | ||||
\(928\) | 0.203350 | − | 0.758913i | 0.00667529 | − | 0.0249125i | ||||
\(929\) | 22.7261 | − | 39.3627i | 0.745619 | − | 1.29145i | −0.204286 | − | 0.978911i | \(-0.565487\pi\) |
0.949905 | − | 0.312539i | \(-0.101179\pi\) | |||||||
\(930\) | 13.8174 | + | 41.4454i | 0.453089 | + | 1.35905i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 2.23093 | + | 2.23093i | 0.0730765 | + | 0.0730765i | ||||
\(933\) | −43.5706 | + | 5.68631i | −1.42644 | + | 0.186161i | ||||
\(934\) | −9.38455 | + | 5.41817i | −0.307072 | + | 0.177288i | ||||
\(935\) | 4.46294 | + | 22.9552i | 0.145954 | + | 0.750714i | ||||
\(936\) | 14.0047 | + | 14.0679i | 0.457758 | + | 0.459823i | ||||
\(937\) | 28.5393 | − | 28.5393i | 0.932338 | − | 0.932338i | −0.0655135 | − | 0.997852i | \(-0.520869\pi\) |
0.997852 | + | 0.0655135i | \(0.0208685\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −42.0557 | − | 5.58489i | −1.37244 | − | 0.182256i | ||||
\(940\) | 2.43409 | − | 2.11608i | 0.0793912 | − | 0.0690191i | ||||
\(941\) | 1.35797 | − | 0.784024i | 0.0442686 | − | 0.0255585i | −0.477702 | − | 0.878522i | \(-0.658530\pi\) |
0.521971 | + | 0.852963i | \(0.325197\pi\) | |||||||
\(942\) | 39.3484 | + | 16.3505i | 1.28204 | + | 0.532729i | ||||
\(943\) | −0.735129 | + | 0.196977i | −0.0239391 | + | 0.00641446i | ||||
\(944\) | −1.75179 | −0.0570160 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −55.2334 | −1.79579 | ||||||||
\(947\) | −39.2036 | + | 10.5046i | −1.27395 | + | 0.341353i | −0.831542 | − | 0.555462i | \(-0.812541\pi\) |
−0.442405 | + | 0.896815i | \(0.645875\pi\) | |||||||
\(948\) | 2.20336 | + | 0.915568i | 0.0715619 | + | 0.0297363i | ||||
\(949\) | 5.55865 | − | 3.20929i | 0.180441 | − | 0.104178i | ||||
\(950\) | 11.2527 | + | 4.77548i | 0.365086 | + | 0.154937i | ||||
\(951\) | 20.6921 | + | 2.74786i | 0.670989 | + | 0.0891055i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −31.1034 | + | 31.1034i | −1.00754 | + | 1.00754i | −0.00756809 | + | 0.999971i | \(0.502409\pi\) |
−0.999971 | + | 0.00756809i | \(0.997591\pi\) | |||||||
\(954\) | −5.35519 | − | 5.37935i | −0.173381 | − | 0.174163i | ||||
\(955\) | 25.9656 | + | 17.5126i | 0.840227 | + | 0.566694i | ||||
\(956\) | 5.67923 | − | 3.27890i | 0.183679 | − | 0.106047i | ||||
\(957\) | −3.44202 | + | 0.449212i | −0.111265 | + | 0.0145209i | ||||
\(958\) | 20.1961 | + | 20.1961i | 0.652507 | + | 0.652507i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −15.1938 | + | 30.3913i | −0.490378 | + | 0.980874i | ||||
\(961\) | −21.3320 | + | 36.9480i | −0.688127 | + | 1.19187i | ||||
\(962\) | 5.15430 | − | 19.2361i | 0.166181 | − | 0.620197i | ||||
\(963\) | 4.58667 | + | 2.66189i | 0.147803 | + | 0.0857784i | ||||
\(964\) | −0.334018 | − | 0.192845i | −0.0107580 | − | 0.00621113i | ||||
\(965\) | 6.92203 | − | 20.1055i | 0.222828 | − | 0.647220i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.87814 | + | 4.87814i | −0.156870 | + | 0.156870i | −0.781178 | − | 0.624308i | \(-0.785381\pi\) |
0.624308 | + | 0.781178i | \(0.285381\pi\) | |||||||
\(968\) | −3.28767 | − | 12.2697i | −0.105670 | − | 0.394365i | ||||
\(969\) | −7.97469 | + | 3.29272i | −0.256184 | + | 0.105777i | ||||
\(970\) | 15.8485 | − | 23.4983i | 0.508865 | − | 0.754485i | ||||
\(971\) | −23.7059 | − | 13.6866i | −0.760759 | − | 0.439224i | 0.0688092 | − | 0.997630i | \(-0.478080\pi\) |
−0.829568 | + | 0.558405i | \(0.811413\pi\) | |||||||
\(972\) | −0.531058 | − | 4.21697i | −0.0170337 | − | 0.135259i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 11.8931 | 0.381080 | ||||||||
\(975\) | 4.78398 | + | 18.5786i | 0.153210 | + | 0.594993i | ||||
\(976\) | 8.63513 | + | 14.9565i | 0.276404 | + | 0.478745i | ||||
\(977\) | 0.0811448 | − | 0.302836i | 0.00259605 | − | 0.00968860i | −0.964616 | − | 0.263660i | \(-0.915070\pi\) |
0.967212 | + | 0.253971i | \(0.0817369\pi\) | |||||||
\(978\) | −29.4048 | + | 3.83756i | −0.940261 | + | 0.122712i | ||||
\(979\) | 44.3287i | 1.41675i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −15.5695 | − | 4.20940i | −0.497094 | − | 0.134396i | ||||
\(982\) | 9.83598 | + | 36.7084i | 0.313879 | + | 1.17141i | ||||
\(983\) | −52.5738 | − | 14.0871i | −1.67684 | − | 0.449309i | −0.709901 | − | 0.704301i | \(-0.751260\pi\) |
−0.966943 | + | 0.254992i | \(0.917927\pi\) | |||||||
\(984\) | −0.609051 | − | 1.47507i | −0.0194158 | − | 0.0470236i | ||||
\(985\) | 10.9796 | + | 12.6296i | 0.349840 | + | 0.402413i | ||||
\(986\) | − | 1.80598i | − | 0.0575143i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.794476 | + | 0.794476i | 0.0252756 | + | 0.0252756i | ||||
\(989\) | 13.2744 | − | 22.9920i | 0.422102 | − | 0.731103i | ||||
\(990\) | 34.3433 | + | 2.47787i | 1.09150 | + | 0.0787520i | ||||
\(991\) | −2.87907 | − | 4.98669i | −0.0914565 | − | 0.158407i | 0.816668 | − | 0.577108i | \(-0.195819\pi\) |
−0.908124 | + | 0.418701i | \(0.862486\pi\) | |||||||
\(992\) | −12.6932 | + | 3.40114i | −0.403011 | + | 0.107986i | ||||
\(993\) | 13.4067 | − | 10.2634i | 0.425448 | − | 0.325698i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 20.7463 | − | 10.1196i | 0.657703 | − | 0.320814i | ||||
\(996\) | −3.73001 | + | 4.84974i | −0.118190 | + | 0.153670i | ||||
\(997\) | 34.8844 | + | 9.34724i | 1.10480 | + | 0.296030i | 0.764717 | − | 0.644366i | \(-0.222879\pi\) |
0.340082 | + | 0.940396i | \(0.389545\pi\) | |||||||
\(998\) | 40.9454 | + | 10.9713i | 1.29610 | + | 0.347290i | ||||
\(999\) | −28.2702 | + | 21.5413i | −0.894430 | + | 0.681536i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))