Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(36,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.36");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.v (of order \(24\), degree \(8\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 36.15 | ||
Character | \(\chi\) | \(=\) | 731.36 |
Dual form | 731.2.v.a.264.15 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17911 | − | 1.17911i | −0.833754 | − | 0.833754i | 0.154274 | − | 0.988028i | \(-0.450696\pi\) |
−0.988028 | + | 0.154274i | \(0.950696\pi\) | |||||||
\(3\) | −2.26634 | − | 1.73903i | −1.30847 | − | 1.00403i | −0.998581 | − | 0.0532563i | \(-0.983040\pi\) |
−0.309893 | − | 0.950771i | \(-0.600293\pi\) | |||||||
\(4\) | 0.780582i | 0.390291i | ||||||||
\(5\) | −2.39062 | + | 3.11551i | −1.06912 | + | 1.39330i | −0.154968 | + | 0.987919i | \(0.549528\pi\) |
−0.914148 | + | 0.405380i | \(0.867139\pi\) | |||||||
\(6\) | 0.621763 | + | 4.72276i | 0.253834 | + | 1.92806i | ||||
\(7\) | 1.24532 | + | 1.62293i | 0.470686 | + | 0.613410i | 0.967013 | − | 0.254726i | \(-0.0819852\pi\) |
−0.496328 | + | 0.868135i | \(0.665319\pi\) | |||||||
\(8\) | −1.43782 | + | 1.43782i | −0.508347 | + | 0.508347i | ||||
\(9\) | 1.33564 | + | 4.98469i | 0.445214 | + | 1.66156i | ||||
\(10\) | 6.49231 | − | 0.854729i | 2.05305 | − | 0.270289i | ||||
\(11\) | 3.10948 | + | 1.28799i | 0.937543 | + | 0.388343i | 0.798535 | − | 0.601948i | \(-0.205609\pi\) |
0.139008 | + | 0.990291i | \(0.455609\pi\) | |||||||
\(12\) | 1.35745 | − | 1.76907i | 0.391863 | − | 0.510686i | ||||
\(13\) | −5.48564 | − | 3.16714i | −1.52144 | − | 0.878406i | −0.999680 | − | 0.0253156i | \(-0.991941\pi\) |
−0.521764 | − | 0.853090i | \(-0.674726\pi\) | |||||||
\(14\) | 0.445244 | − | 3.38197i | 0.118997 | − | 0.903869i | ||||
\(15\) | 10.8359 | − | 2.90348i | 2.79782 | − | 0.749674i | ||||
\(16\) | 4.95186 | 1.23796 | ||||||||
\(17\) | −4.09802 | + | 0.454153i | −0.993915 | + | 0.110148i | ||||
\(18\) | 4.30261 | − | 7.45234i | 1.01414 | − | 1.75653i | ||||
\(19\) | −0.682072 | + | 2.54553i | −0.156478 | + | 0.583984i | 0.842496 | + | 0.538702i | \(0.181085\pi\) |
−0.998974 | + | 0.0452818i | \(0.985581\pi\) | |||||||
\(20\) | −2.43191 | − | 1.86607i | −0.543792 | − | 0.417267i | ||||
\(21\) | − | 5.84376i | − | 1.27521i | ||||||
\(22\) | −2.14773 | − | 5.18508i | −0.457897 | − | 1.10546i | ||||
\(23\) | −0.110496 | − | 0.839298i | −0.0230399 | − | 0.175006i | 0.976056 | − | 0.217520i | \(-0.0697966\pi\) |
−0.999096 | + | 0.0425140i | \(0.986463\pi\) | |||||||
\(24\) | 5.75901 | − | 0.758189i | 1.17555 | − | 0.154765i | ||||
\(25\) | −2.69727 | − | 10.0664i | −0.539455 | − | 2.01327i | ||||
\(26\) | 2.73376 | + | 10.2025i | 0.536135 | + | 2.00088i | ||||
\(27\) | 2.36189 | − | 5.70210i | 0.454545 | − | 1.09737i | ||||
\(28\) | −1.26683 | + | 0.972072i | −0.239408 | + | 0.183704i | ||||
\(29\) | 7.09823 | + | 0.934499i | 1.31811 | + | 0.173532i | 0.756567 | − | 0.653917i | \(-0.226875\pi\) |
0.561541 | + | 0.827449i | \(0.310209\pi\) | |||||||
\(30\) | −16.2002 | − | 9.35319i | −2.95774 | − | 1.70765i | ||||
\(31\) | −4.55715 | − | 3.49683i | −0.818489 | − | 0.628049i | 0.112272 | − | 0.993678i | \(-0.464187\pi\) |
−0.930761 | + | 0.365629i | \(0.880854\pi\) | |||||||
\(32\) | −2.96312 | − | 2.96312i | −0.523810 | − | 0.523810i | ||||
\(33\) | −4.80730 | − | 8.32649i | −0.836844 | − | 1.44946i | ||||
\(34\) | 5.36749 | + | 4.29650i | 0.920517 | + | 0.736844i | ||||
\(35\) | −8.03333 | −1.35788 | ||||||||
\(36\) | −3.89096 | + | 1.04258i | −0.648493 | + | 0.173763i | ||||
\(37\) | 0.235362 | + | 0.180599i | 0.0386932 | + | 0.0296904i | 0.627927 | − | 0.778272i | \(-0.283904\pi\) |
−0.589234 | + | 0.807963i | \(0.700570\pi\) | |||||||
\(38\) | 3.80568 | − | 2.19721i | 0.617363 | − | 0.356435i | ||||
\(39\) | 6.92461 | + | 16.7175i | 1.10883 | + | 2.67694i | ||||
\(40\) | −1.04227 | − | 7.91684i | −0.164798 | − | 1.25176i | ||||
\(41\) | −0.146038 | + | 0.352567i | −0.0228073 | + | 0.0550617i | −0.934873 | − | 0.354983i | \(-0.884487\pi\) |
0.912066 | + | 0.410044i | \(0.134487\pi\) | |||||||
\(42\) | −6.89041 | + | 6.89041i | −1.06321 | + | 1.06321i | ||||
\(43\) | 5.67955 | + | 3.27761i | 0.866123 | + | 0.499831i | ||||
\(44\) | −1.00538 | + | 2.42720i | −0.151567 | + | 0.365915i | ||||
\(45\) | −18.7229 | − | 7.75527i | −2.79104 | − | 1.15609i | ||||
\(46\) | −0.859335 | + | 1.11991i | −0.126702 | + | 0.165121i | ||||
\(47\) | − | 1.65780i | − | 0.241815i | −0.992664 | − | 0.120907i | \(-0.961420\pi\) | ||
0.992664 | − | 0.120907i | \(-0.0385804\pi\) | |||||||
\(48\) | −11.2226 | − | 8.61141i | −1.61984 | − | 1.24295i | ||||
\(49\) | 0.728650 | − | 2.71936i | 0.104093 | − | 0.388480i | ||||
\(50\) | −8.68894 | + | 15.0497i | −1.22880 | + | 2.12835i | ||||
\(51\) | 10.0773 | + | 6.09730i | 1.41110 | + | 0.853792i | ||||
\(52\) | 2.47221 | − | 4.28199i | 0.342834 | − | 0.593806i | ||||
\(53\) | −2.46670 | + | 9.20585i | −0.338827 | + | 1.26452i | 0.560832 | + | 0.827929i | \(0.310481\pi\) |
−0.899660 | + | 0.436592i | \(0.856185\pi\) | |||||||
\(54\) | −9.50829 | + | 3.93846i | −1.29391 | + | 0.535957i | ||||
\(55\) | −11.4463 | + | 6.60853i | −1.54342 | + | 0.891094i | ||||
\(56\) | −4.12403 | − | 0.542939i | −0.551097 | − | 0.0725533i | ||||
\(57\) | 5.97255 | − | 4.58290i | 0.791084 | − | 0.607020i | ||||
\(58\) | −7.26769 | − | 9.47144i | −0.954294 | − | 1.24366i | ||||
\(59\) | −6.65532 | + | 6.65532i | −0.866448 | + | 0.866448i | −0.992077 | − | 0.125629i | \(-0.959905\pi\) |
0.125629 | + | 0.992077i | \(0.459905\pi\) | |||||||
\(60\) | 2.26640 | + | 8.45833i | 0.292591 | + | 1.09197i | ||||
\(61\) | −1.03942 | − | 1.35460i | −0.133085 | − | 0.173439i | 0.722057 | − | 0.691833i | \(-0.243197\pi\) |
−0.855142 | + | 0.518394i | \(0.826530\pi\) | |||||||
\(62\) | 1.25024 | + | 9.49650i | 0.158780 | + | 1.20606i | ||||
\(63\) | −6.42650 | + | 8.37517i | −0.809662 | + | 1.05517i | ||||
\(64\) | − | 2.91605i | − | 0.364507i | ||||||
\(65\) | 22.9813 | − | 9.51918i | 2.85048 | − | 1.18071i | ||||
\(66\) | −4.14950 | + | 15.4861i | −0.510768 | + | 1.90621i | ||||
\(67\) | −4.32758 | − | 7.49558i | −0.528698 | − | 0.915731i | −0.999440 | − | 0.0334605i | \(-0.989347\pi\) |
0.470742 | − | 0.882271i | \(-0.343986\pi\) | |||||||
\(68\) | −0.354503 | − | 3.19884i | −0.0429898 | − | 0.387916i | ||||
\(69\) | −1.20914 | + | 2.09429i | −0.145563 | + | 0.252123i | ||||
\(70\) | 9.47215 | + | 9.47215i | 1.13214 | + | 1.13214i | ||||
\(71\) | 1.92194 | − | 14.5986i | 0.228093 | − | 1.73254i | −0.368180 | − | 0.929755i | \(-0.620019\pi\) |
0.596273 | − | 0.802782i | \(-0.296648\pi\) | |||||||
\(72\) | −9.08752 | − | 5.24668i | −1.07097 | − | 0.618327i | ||||
\(73\) | 5.84018 | + | 0.768874i | 0.683541 | + | 0.0899899i | 0.464296 | − | 0.885680i | \(-0.346307\pi\) |
0.219245 | + | 0.975670i | \(0.429641\pi\) | |||||||
\(74\) | −0.0645706 | − | 0.490462i | −0.00750618 | − | 0.0570151i | ||||
\(75\) | −11.3927 | + | 27.5045i | −1.31552 | + | 3.17594i | ||||
\(76\) | −1.98699 | − | 0.532413i | −0.227924 | − | 0.0610720i | ||||
\(77\) | 1.78197 | + | 6.65041i | 0.203075 | + | 0.757885i | ||||
\(78\) | 11.5468 | − | 27.8766i | 1.30742 | − | 3.15640i | ||||
\(79\) | 4.32721 | − | 3.32039i | 0.486850 | − | 0.373573i | −0.335973 | − | 0.941872i | \(-0.609065\pi\) |
0.822822 | + | 0.568299i | \(0.192398\pi\) | |||||||
\(80\) | −11.8380 | + | 15.4276i | −1.32353 | + | 1.72485i | ||||
\(81\) | −1.86149 | + | 1.07473i | −0.206833 | + | 0.119415i | ||||
\(82\) | 0.587908 | − | 0.243519i | 0.0649236 | − | 0.0268922i | ||||
\(83\) | −0.555392 | + | 2.07275i | −0.0609622 | + | 0.227514i | −0.989685 | − | 0.143261i | \(-0.954241\pi\) |
0.928723 | + | 0.370775i | \(0.120908\pi\) | |||||||
\(84\) | 4.56153 | 0.497704 | ||||||||
\(85\) | 8.38187 | − | 13.8531i | 0.909142 | − | 1.50258i | ||||
\(86\) | −2.83214 | − | 10.5614i | −0.305398 | − | 1.13887i | ||||
\(87\) | −14.4619 | − | 14.4619i | −1.55048 | − | 1.55048i | ||||
\(88\) | −6.32278 | + | 2.61898i | −0.674010 | + | 0.279184i | ||||
\(89\) | −0.453231 | + | 0.261673i | −0.0480424 | + | 0.0277373i | −0.523829 | − | 0.851824i | \(-0.675497\pi\) |
0.475786 | + | 0.879561i | \(0.342164\pi\) | |||||||
\(90\) | 12.9320 | + | 31.2205i | 1.36315 | + | 3.29093i | ||||
\(91\) | −1.69133 | − | 12.8469i | −0.177299 | − | 1.34672i | ||||
\(92\) | 0.655141 | − | 0.0862509i | 0.0683032 | − | 0.00899228i | ||||
\(93\) | 4.24700 | + | 15.8500i | 0.440393 | + | 1.64357i | ||||
\(94\) | −1.95472 | + | 1.95472i | −0.201614 | + | 0.201614i | ||||
\(95\) | −6.30005 | − | 8.21039i | −0.646372 | − | 0.842368i | ||||
\(96\) | 1.56250 | + | 11.8684i | 0.159472 | + | 1.21131i | ||||
\(97\) | −6.99847 | − | 16.8958i | −0.710587 | − | 1.71551i | −0.698529 | − | 0.715582i | \(-0.746162\pi\) |
−0.0120582 | − | 0.999927i | \(-0.503838\pi\) | |||||||
\(98\) | −4.06557 | + | 2.34726i | −0.410684 | + | 0.237109i | ||||
\(99\) | −2.26706 | + | 17.2201i | −0.227849 | + | 1.73068i | ||||
\(100\) | 7.85762 | − | 2.10544i | 0.785762 | − | 0.210544i | ||||
\(101\) | 4.21803 | − | 7.30583i | 0.419709 | − | 0.726958i | −0.576201 | − | 0.817308i | \(-0.695465\pi\) |
0.995910 | + | 0.0903505i | \(0.0287987\pi\) | |||||||
\(102\) | −4.69285 | − | 19.0716i | −0.464661 | − | 1.88837i | ||||
\(103\) | −0.345442 | + | 0.598324i | −0.0340374 | + | 0.0589546i | −0.882542 | − | 0.470233i | \(-0.844170\pi\) |
0.848505 | + | 0.529188i | \(0.177503\pi\) | |||||||
\(104\) | 12.4412 | − | 3.33360i | 1.21996 | − | 0.326886i | ||||
\(105\) | 18.2063 | + | 13.9702i | 1.77675 | + | 1.36335i | ||||
\(106\) | 13.7632 | − | 7.94617i | 1.33680 | − | 0.771801i | ||||
\(107\) | −1.27648 | − | 3.08169i | −0.123402 | − | 0.297918i | 0.850091 | − | 0.526636i | \(-0.176547\pi\) |
−0.973493 | + | 0.228717i | \(0.926547\pi\) | |||||||
\(108\) | 4.45095 | + | 1.84365i | 0.428293 | + | 0.177405i | ||||
\(109\) | −11.9027 | + | 1.56702i | −1.14007 | + | 0.150093i | −0.676829 | − | 0.736140i | \(-0.736647\pi\) |
−0.463240 | + | 0.886233i | \(0.653313\pi\) | |||||||
\(110\) | 21.2886 | + | 5.70426i | 2.02979 | + | 0.543880i | ||||
\(111\) | −0.219343 | − | 0.818601i | −0.0208192 | − | 0.0776982i | ||||
\(112\) | 6.16663 | + | 8.03651i | 0.582692 | + | 0.759379i | ||||
\(113\) | −1.15588 | − | 0.478782i | −0.108736 | − | 0.0450400i | 0.327652 | − | 0.944798i | \(-0.393743\pi\) |
−0.436388 | + | 0.899758i | \(0.643743\pi\) | |||||||
\(114\) | −12.4460 | − | 1.63855i | −1.16567 | − | 0.153464i | ||||
\(115\) | 2.87900 | + | 1.66219i | 0.268468 | + | 0.155000i | ||||
\(116\) | −0.729453 | + | 5.54075i | −0.0677281 | + | 0.514446i | ||||
\(117\) | 8.46033 | − | 31.5744i | 0.782158 | − | 2.91905i | ||||
\(118\) | 15.6946 | 1.44481 | ||||||||
\(119\) | −5.84039 | − | 6.08523i | −0.535388 | − | 0.557832i | ||||
\(120\) | −11.4055 | + | 19.7548i | −1.04117 | + | 1.80336i | ||||
\(121\) | 0.231764 | + | 0.231764i | 0.0210694 | + | 0.0210694i | ||||
\(122\) | −0.371630 | + | 2.82281i | −0.0336458 | + | 0.255566i | ||||
\(123\) | 0.944096 | − | 0.545074i | 0.0851262 | − | 0.0491476i | ||||
\(124\) | 2.72956 | − | 3.55723i | 0.245122 | − | 0.319449i | ||||
\(125\) | 19.6696 | + | 8.14741i | 1.75930 | + | 0.728726i | ||||
\(126\) | 17.4527 | − | 2.29770i | 1.55481 | − | 0.204695i | ||||
\(127\) | 10.0949 | − | 10.0949i | 0.895774 | − | 0.895774i | −0.0992852 | − | 0.995059i | \(-0.531656\pi\) |
0.995059 | + | 0.0992852i | \(0.0316556\pi\) | |||||||
\(128\) | −9.36457 | + | 9.36457i | −0.827719 | + | 0.827719i | ||||
\(129\) | −7.17196 | − | 17.3051i | −0.631456 | − | 1.52363i | ||||
\(130\) | −38.3215 | − | 15.8733i | −3.36102 | − | 1.39218i | ||||
\(131\) | −2.88963 | − | 6.97619i | −0.252468 | − | 0.609512i | 0.745934 | − | 0.666020i | \(-0.232003\pi\) |
−0.998402 | + | 0.0565076i | \(0.982003\pi\) | |||||||
\(132\) | 6.49951 | − | 3.75249i | 0.565710 | − | 0.326613i | ||||
\(133\) | −4.98061 | + | 2.06304i | −0.431873 | + | 0.178888i | ||||
\(134\) | −3.73541 | + | 13.9408i | −0.322691 | + | 1.20430i | ||||
\(135\) | 12.1186 | + | 20.9900i | 1.04300 | + | 1.80653i | ||||
\(136\) | 5.23923 | − | 6.54521i | 0.449260 | − | 0.561248i | ||||
\(137\) | 1.22628 | 0.104769 | 0.0523843 | − | 0.998627i | \(-0.483318\pi\) | ||||
0.0523843 | + | 0.998627i | \(0.483318\pi\) | |||||||
\(138\) | 3.89510 | − | 1.04369i | 0.331573 | − | 0.0888447i | ||||
\(139\) | 12.6085 | + | 9.67484i | 1.06944 | + | 0.820610i | 0.984431 | − | 0.175771i | \(-0.0562417\pi\) |
0.0850081 | + | 0.996380i | \(0.472908\pi\) | |||||||
\(140\) | − | 6.27068i | − | 0.529969i | ||||||
\(141\) | −2.88296 | + | 3.75714i | −0.242789 | + | 0.316409i | ||||
\(142\) | −19.4795 | + | 14.9471i | −1.63468 | + | 1.25434i | ||||
\(143\) | −12.9782 | − | 16.9136i | −1.08530 | − | 1.41438i | ||||
\(144\) | 6.61391 | + | 24.6835i | 0.551159 | + | 2.05695i | ||||
\(145\) | −19.8806 | + | 19.8806i | −1.65099 | + | 1.65099i | ||||
\(146\) | −5.97960 | − | 7.79277i | −0.494875 | − | 0.644934i | ||||
\(147\) | −6.38041 | + | 4.89586i | −0.526247 | + | 0.403804i | ||||
\(148\) | −0.140973 | + | 0.183719i | −0.0115879 | + | 0.0151016i | ||||
\(149\) | 11.6058 | − | 6.70060i | 0.950783 | − | 0.548935i | 0.0574589 | − | 0.998348i | \(-0.481700\pi\) |
0.893324 | + | 0.449413i | \(0.148367\pi\) | |||||||
\(150\) | 45.8639 | − | 18.9975i | 3.74477 | − | 1.55114i | ||||
\(151\) | −16.2411 | − | 16.2411i | −1.32168 | − | 1.32168i | −0.912414 | − | 0.409269i | \(-0.865784\pi\) |
−0.409269 | − | 0.912414i | \(-0.634216\pi\) | |||||||
\(152\) | −2.67932 | − | 4.64072i | −0.217322 | − | 0.376412i | ||||
\(153\) | −7.73730 | − | 19.8208i | −0.625523 | − | 1.60241i | ||||
\(154\) | 5.74041 | − | 9.94268i | 0.462575 | − | 0.801204i | ||||
\(155\) | 21.7888 | − | 5.83830i | 1.75012 | − | 0.468943i | ||||
\(156\) | −13.0494 | + | 5.40523i | −1.04479 | + | 0.432765i | ||||
\(157\) | 15.4447 | + | 8.91701i | 1.23262 | + | 0.711655i | 0.967576 | − | 0.252581i | \(-0.0812795\pi\) |
0.265046 | + | 0.964236i | \(0.414613\pi\) | |||||||
\(158\) | −9.01734 | − | 1.18715i | −0.717381 | − | 0.0944450i | ||||
\(159\) | 21.5996 | − | 16.5740i | 1.71296 | − | 1.31440i | ||||
\(160\) | 16.3153 | − | 2.14795i | 1.28984 | − | 0.169810i | ||||
\(161\) | 1.22452 | − | 1.22452i | 0.0965056 | − | 0.0965056i | ||||
\(162\) | 3.46213 | + | 0.927674i | 0.272010 | + | 0.0728849i | ||||
\(163\) | 5.63995 | + | 7.35013i | 0.441755 | + | 0.575707i | 0.960168 | − | 0.279424i | \(-0.0901435\pi\) |
−0.518413 | + | 0.855131i | \(0.673477\pi\) | |||||||
\(164\) | −0.275207 | − | 0.113995i | −0.0214901 | − | 0.00890149i | ||||
\(165\) | 37.4337 | + | 4.92824i | 2.91421 | + | 0.383663i | ||||
\(166\) | 3.09886 | − | 1.78913i | 0.240518 | − | 0.138863i | ||||
\(167\) | 10.4458 | + | 8.01535i | 0.808321 | + | 0.620247i | 0.928006 | − | 0.372565i | \(-0.121522\pi\) |
−0.119685 | + | 0.992812i | \(0.538188\pi\) | |||||||
\(168\) | 8.40229 | + | 8.40229i | 0.648250 | + | 0.648250i | ||||
\(169\) | 13.5615 | + | 23.4892i | 1.04319 | + | 1.80686i | ||||
\(170\) | −26.2174 | + | 6.45119i | −2.01078 | + | 0.494784i | ||||
\(171\) | −13.5997 | −1.03999 | ||||||||
\(172\) | −2.55844 | + | 4.43335i | −0.195079 | + | 0.338040i | ||||
\(173\) | 22.1500 | − | 9.17484i | 1.68404 | − | 0.697550i | 0.684529 | − | 0.728985i | \(-0.260008\pi\) |
0.999506 | + | 0.0314353i | \(0.0100078\pi\) | |||||||
\(174\) | 34.1042i | 2.58544i | ||||||||
\(175\) | 12.9780 | − | 16.9133i | 0.981047 | − | 1.27853i | ||||
\(176\) | 15.3977 | + | 6.37793i | 1.16064 | + | 0.480755i | ||||
\(177\) | 26.6570 | − | 3.50946i | 2.00366 | − | 0.263787i | ||||
\(178\) | 0.842948 | + | 0.225867i | 0.0631816 | + | 0.0169295i | ||||
\(179\) | −0.743197 | − | 2.77365i | −0.0555492 | − | 0.207312i | 0.932573 | − | 0.360981i | \(-0.117558\pi\) |
−0.988122 | + | 0.153668i | \(0.950891\pi\) | |||||||
\(180\) | 6.05362 | − | 14.6147i | 0.451210 | − | 1.08932i | ||||
\(181\) | 9.93764 | − | 7.62542i | 0.738659 | − | 0.566793i | −0.169444 | − | 0.985540i | \(-0.554197\pi\) |
0.908103 | + | 0.418747i | \(0.137530\pi\) | |||||||
\(182\) | −13.1536 | + | 17.1421i | −0.975010 | + | 1.27066i | ||||
\(183\) | 4.87759i | 0.360562i | ||||||||
\(184\) | 1.36564 | + | 1.04789i | 0.100676 | + | 0.0772514i | ||||
\(185\) | −1.12532 | + | 0.301529i | −0.0827352 | + | 0.0221688i | ||||
\(186\) | 13.6812 | − | 23.6965i | 1.00315 | − | 1.73751i | ||||
\(187\) | −13.3276 | − | 3.86602i | −0.974613 | − | 0.282711i | ||||
\(188\) | 1.29405 | 0.0943782 | ||||||||
\(189\) | 12.1954 | − | 3.26775i | 0.887084 | − | 0.237694i | ||||
\(190\) | −2.25249 | + | 17.1093i | −0.163413 | + | 1.24124i | ||||
\(191\) | −18.8976 | + | 10.9106i | −1.36738 | + | 0.789460i | −0.990593 | − | 0.136838i | \(-0.956306\pi\) |
−0.376791 | + | 0.926298i | \(0.622973\pi\) | |||||||
\(192\) | −5.07109 | + | 6.60878i | −0.365975 | + | 0.476948i | ||||
\(193\) | −10.3523 | − | 4.28808i | −0.745178 | − | 0.308663i | −0.0224057 | − | 0.999749i | \(-0.507133\pi\) |
−0.722772 | + | 0.691086i | \(0.757133\pi\) | |||||||
\(194\) | −11.6700 | + | 28.1739i | −0.837858 | + | 2.02277i | ||||
\(195\) | −68.6377 | − | 18.3914i | −4.91525 | − | 1.31704i | ||||
\(196\) | 2.12268 | + | 0.568771i | 0.151620 | + | 0.0406265i | ||||
\(197\) | −3.80738 | − | 4.96188i | −0.271265 | − | 0.353519i | 0.637779 | − | 0.770219i | \(-0.279853\pi\) |
−0.909044 | + | 0.416700i | \(0.863187\pi\) | |||||||
\(198\) | 22.9774 | − | 17.6312i | 1.63293 | − | 1.25299i | ||||
\(199\) | −0.801200 | − | 1.93427i | −0.0567955 | − | 0.137117i | 0.892935 | − | 0.450187i | \(-0.148643\pi\) |
−0.949730 | + | 0.313070i | \(0.898643\pi\) | |||||||
\(200\) | 18.3519 | + | 10.5954i | 1.29767 | + | 0.749211i | ||||
\(201\) | −3.22724 | + | 24.5133i | −0.227632 | + | 1.72904i | ||||
\(202\) | −13.5879 | + | 3.64085i | −0.956038 | + | 0.256170i | ||||
\(203\) | 7.32292 | + | 12.6837i | 0.513968 | + | 0.890219i | ||||
\(204\) | −4.75944 | + | 7.86616i | −0.333227 | + | 0.550741i | ||||
\(205\) | −0.749306 | − | 1.29784i | −0.0523338 | − | 0.0906448i | ||||
\(206\) | 1.11280 | − | 0.298174i | 0.0775325 | − | 0.0207748i | ||||
\(207\) | 4.03606 | − | 1.67179i | 0.280525 | − | 0.116197i | ||||
\(208\) | −27.1641 | − | 15.6832i | −1.88349 | − | 1.08743i | ||||
\(209\) | −5.39950 | + | 7.03676i | −0.373491 | + | 0.486743i | ||||
\(210\) | −4.99483 | − | 37.9395i | −0.344676 | − | 2.61807i | ||||
\(211\) | −5.47201 | + | 13.2106i | −0.376708 | + | 0.909455i | 0.615870 | + | 0.787848i | \(0.288805\pi\) |
−0.992578 | + | 0.121607i | \(0.961195\pi\) | |||||||
\(212\) | −7.18592 | − | 1.92546i | −0.493531 | − | 0.132241i | ||||
\(213\) | −29.7432 | + | 29.7432i | −2.03797 | + | 2.03797i | ||||
\(214\) | −2.12854 | + | 5.13874i | −0.145504 | + | 0.351277i | ||||
\(215\) | −23.7891 | + | 9.85920i | −1.62240 | + | 0.672392i | ||||
\(216\) | 4.80263 | + | 11.5946i | 0.326778 | + | 0.788911i | ||||
\(217\) | − | 11.7506i | − | 0.797682i | ||||||
\(218\) | 15.8822 | + | 12.1868i | 1.07568 | + | 0.825397i | ||||
\(219\) | −11.8988 | − | 11.8988i | −0.804043 | − | 0.804043i | ||||
\(220\) | −5.15850 | − | 8.93479i | −0.347786 | − | 0.602383i | ||||
\(221\) | 23.9186 | + | 10.4877i | 1.60894 | + | 0.705477i | ||||
\(222\) | −0.706588 | + | 1.22385i | −0.0474231 | + | 0.0821392i | ||||
\(223\) | −10.6137 | − | 10.6137i | −0.710743 | − | 0.710743i | 0.255948 | − | 0.966691i | \(-0.417613\pi\) |
−0.966691 | + | 0.255948i | \(0.917613\pi\) | |||||||
\(224\) | 1.11891 | − | 8.49895i | 0.0747602 | − | 0.567860i | ||||
\(225\) | 46.5751 | − | 26.8901i | 3.10501 | − | 1.79268i | ||||
\(226\) | 0.798373 | + | 1.92744i | 0.0531070 | + | 0.128212i | ||||
\(227\) | −0.721058 | − | 5.47698i | −0.0478583 | − | 0.363520i | −0.998571 | − | 0.0534460i | \(-0.982979\pi\) |
0.950712 | − | 0.310074i | \(-0.100354\pi\) | |||||||
\(228\) | 3.57733 | + | 4.66207i | 0.236914 | + | 0.308753i | ||||
\(229\) | 3.96592 | + | 14.8010i | 0.262076 | + | 0.978079i | 0.964016 | + | 0.265844i | \(0.0856505\pi\) |
−0.701941 | + | 0.712235i | \(0.747683\pi\) | |||||||
\(230\) | −1.43474 | − | 5.35454i | −0.0946043 | − | 0.353068i | ||||
\(231\) | 7.52669 | − | 18.1710i | 0.495220 | − | 1.19557i | ||||
\(232\) | −11.5496 | + | 8.86235i | −0.758271 | + | 0.581842i | ||||
\(233\) | −5.39950 | − | 0.710857i | −0.353733 | − | 0.0465698i | −0.0484340 | − | 0.998826i | \(-0.515423\pi\) |
−0.305299 | + | 0.952257i | \(0.598756\pi\) | |||||||
\(234\) | −47.2052 | + | 27.2539i | −3.08590 | + | 1.78164i | ||||
\(235\) | 5.16490 | + | 3.96316i | 0.336921 | + | 0.258528i | ||||
\(236\) | −5.19502 | − | 5.19502i | −0.338167 | − | 0.338167i | ||||
\(237\) | −15.5812 | −1.01211 | ||||||||
\(238\) | −0.288690 | + | 14.0616i | −0.0187130 | + | 0.911476i | ||||
\(239\) | −0.685127 | − | 1.18668i | −0.0443172 | − | 0.0767596i | 0.843016 | − | 0.537889i | \(-0.180778\pi\) |
−0.887333 | + | 0.461129i | \(0.847445\pi\) | |||||||
\(240\) | 53.6579 | − | 14.3776i | 3.46360 | − | 0.928070i | ||||
\(241\) | 3.35778 | − | 25.5049i | 0.216294 | − | 1.64292i | −0.446984 | − | 0.894542i | \(-0.647502\pi\) |
0.663278 | − | 0.748373i | \(-0.269165\pi\) | |||||||
\(242\) | − | 0.546548i | − | 0.0351335i | ||||||
\(243\) | −12.2695 | − | 1.61531i | −0.787091 | − | 0.103622i | ||||
\(244\) | 1.05738 | − | 0.811356i | 0.0676918 | − | 0.0519418i | ||||
\(245\) | 6.73027 | + | 8.77106i | 0.429981 | + | 0.560362i | ||||
\(246\) | −1.75589 | − | 0.470489i | −0.111951 | − | 0.0299973i | ||||
\(247\) | 11.8036 | − | 11.8036i | 0.751048 | − | 0.751048i | ||||
\(248\) | 11.5802 | − | 1.52456i | 0.735343 | − | 0.0968098i | ||||
\(249\) | 4.86328 | − | 3.73172i | 0.308198 | − | 0.236488i | ||||
\(250\) | −13.5859 | − | 32.7992i | −0.859246 | − | 2.07440i | ||||
\(251\) | 0.917644 | + | 0.529802i | 0.0579212 | + | 0.0334408i | 0.528681 | − | 0.848821i | \(-0.322687\pi\) |
−0.470760 | + | 0.882261i | \(0.656020\pi\) | |||||||
\(252\) | −6.53751 | − | 5.01641i | −0.411824 | − | 0.316004i | ||||
\(253\) | 0.737422 | − | 2.75210i | 0.0463613 | − | 0.173023i | ||||
\(254\) | −23.8058 | −1.49371 | ||||||||
\(255\) | −43.0872 | + | 16.8197i | −2.69822 | + | 1.05329i | ||||
\(256\) | 16.2515 | 1.01572 | ||||||||
\(257\) | 14.6452 | + | 14.6452i | 0.913545 | + | 0.913545i | 0.996549 | − | 0.0830038i | \(-0.0264514\pi\) |
−0.0830038 | + | 0.996549i | \(0.526451\pi\) | |||||||
\(258\) | −11.9480 | + | 28.8610i | −0.743851 | + | 1.79681i | ||||
\(259\) | 0.606879i | 0.0377096i | ||||||||
\(260\) | 7.43050 | + | 17.9388i | 0.460820 | + | 1.11252i | ||||
\(261\) | 4.82251 | + | 36.6306i | 0.298506 | + | 2.26738i | ||||
\(262\) | −4.81848 | + | 11.6328i | −0.297687 | + | 0.718680i | ||||
\(263\) | 16.8530 | + | 4.51575i | 1.03920 | + | 0.278453i | 0.737782 | − | 0.675039i | \(-0.235873\pi\) |
0.301419 | + | 0.953492i | \(0.402540\pi\) | |||||||
\(264\) | 18.8841 | + | 5.05997i | 1.16223 | + | 0.311420i | ||||
\(265\) | −22.7840 | − | 29.6927i | −1.39961 | − | 1.82401i | ||||
\(266\) | 8.30520 | + | 3.44013i | 0.509225 | + | 0.210928i | ||||
\(267\) | 1.48223 | + | 0.195140i | 0.0907112 | + | 0.0119424i | ||||
\(268\) | 5.85092 | − | 3.37803i | 0.357402 | − | 0.206346i | ||||
\(269\) | −6.32954 | + | 2.62178i | −0.385919 | + | 0.159853i | −0.567203 | − | 0.823578i | \(-0.691975\pi\) |
0.181284 | + | 0.983431i | \(0.441975\pi\) | |||||||
\(270\) | 10.4603 | − | 39.0385i | 0.636596 | − | 2.37581i | ||||
\(271\) | −6.69577 | + | 11.5974i | −0.406739 | + | 0.704492i | −0.994522 | − | 0.104526i | \(-0.966667\pi\) |
0.587783 | + | 0.809018i | \(0.300001\pi\) | |||||||
\(272\) | −20.2928 | + | 2.24890i | −1.23043 | + | 0.136359i | ||||
\(273\) | −18.5080 | + | 32.0567i | −1.12015 | + | 1.94016i | ||||
\(274\) | −1.44592 | − | 1.44592i | −0.0873512 | − | 0.0873512i | ||||
\(275\) | 4.57824 | − | 34.7752i | 0.276078 | − | 2.09702i | ||||
\(276\) | −1.63477 | − | 0.943833i | −0.0984014 | − | 0.0568121i | ||||
\(277\) | 4.39616 | − | 5.72918i | 0.264139 | − | 0.344233i | −0.642388 | − | 0.766379i | \(-0.722056\pi\) |
0.906528 | + | 0.422146i | \(0.138723\pi\) | |||||||
\(278\) | −3.45909 | − | 26.2744i | −0.207463 | − | 1.57584i | ||||
\(279\) | 11.3439 | − | 27.3865i | 0.679139 | − | 1.63959i | ||||
\(280\) | 11.5505 | − | 11.5505i | 0.690275 | − | 0.690275i | ||||
\(281\) | 25.7680 | + | 6.90450i | 1.53719 | + | 0.411888i | 0.925356 | − | 0.379100i | \(-0.123766\pi\) |
0.611832 | + | 0.790988i | \(0.290433\pi\) | |||||||
\(282\) | 7.82938 | − | 1.03076i | 0.466233 | − | 0.0613807i | ||||
\(283\) | 13.4947 | − | 10.3548i | 0.802174 | − | 0.615530i | −0.124147 | − | 0.992264i | \(-0.539619\pi\) |
0.926322 | + | 0.376734i | \(0.122953\pi\) | |||||||
\(284\) | 11.3954 | + | 1.50024i | 0.676194 | + | 0.0890226i | ||||
\(285\) | 29.5635i | 1.75119i | ||||||||
\(286\) | −4.64018 | + | 35.2456i | −0.274379 | + | 2.08412i | ||||
\(287\) | −0.754055 | + | 0.202048i | −0.0445104 | + | 0.0119265i | ||||
\(288\) | 10.8125 | − | 18.7279i | 0.637135 | − | 1.10355i | ||||
\(289\) | 16.5875 | − | 3.72225i | 0.975735 | − | 0.218956i | ||||
\(290\) | 46.8826 | 2.75304 | ||||||||
\(291\) | −13.5213 | + | 50.4622i | −0.792634 | + | 2.95815i | ||||
\(292\) | −0.600169 | + | 4.55874i | −0.0351222 | + | 0.266780i | ||||
\(293\) | − | 24.5936i | − | 1.43677i | −0.695645 | − | 0.718386i | \(-0.744881\pi\) | ||
0.695645 | − | 0.718386i | \(-0.255119\pi\) | |||||||
\(294\) | 13.2959 | + | 1.75044i | 0.775433 | + | 0.102088i | ||||
\(295\) | −4.82441 | − | 36.6450i | −0.280888 | − | 2.13356i | ||||
\(296\) | −0.598079 | + | 0.0787386i | −0.0347626 | + | 0.00457659i | ||||
\(297\) | 14.6885 | − | 14.6885i | 0.852311 | − | 0.852311i | ||||
\(298\) | −21.5852 | − | 5.78373i | −1.25040 | − | 0.335042i | ||||
\(299\) | −2.05203 | + | 4.95404i | −0.118672 | + | 0.286500i | ||||
\(300\) | −21.4695 | − | 8.89296i | −1.23954 | − | 0.513435i | ||||
\(301\) | 1.75351 | + | 13.2992i | 0.101071 | + | 0.766551i | ||||
\(302\) | 38.3000i | 2.20392i | ||||||||
\(303\) | −22.2645 | + | 9.22227i | −1.27906 | + | 0.529806i | ||||
\(304\) | −3.37752 | + | 12.6051i | −0.193714 | + | 0.722951i | ||||
\(305\) | 6.70515 | 0.383936 | ||||||||
\(306\) | −14.2477 | + | 32.4939i | −0.814485 | + | 1.85755i | ||||
\(307\) | −8.51967 | − | 14.7565i | −0.486243 | − | 0.842198i | 0.513632 | − | 0.858011i | \(-0.328300\pi\) |
−0.999875 | + | 0.0158126i | \(0.994966\pi\) | |||||||
\(308\) | −5.19119 | + | 1.39098i | −0.295796 | + | 0.0792582i | ||||
\(309\) | 1.82339 | − | 0.755274i | 0.103729 | − | 0.0429660i | ||||
\(310\) | −32.5753 | − | 18.8074i | −1.85015 | − | 1.06819i | ||||
\(311\) | 5.61173 | − | 7.31335i | 0.318212 | − | 0.414702i | −0.606671 | − | 0.794953i | \(-0.707496\pi\) |
0.924884 | + | 0.380251i | \(0.124162\pi\) | |||||||
\(312\) | −33.9932 | − | 14.0804i | −1.92448 | − | 0.797148i | ||||
\(313\) | 24.2093 | − | 3.18722i | 1.36839 | − | 0.180152i | 0.589733 | − | 0.807599i | \(-0.299233\pi\) |
0.778660 | + | 0.627446i | \(0.215900\pi\) | |||||||
\(314\) | −7.69685 | − | 28.7250i | −0.434358 | − | 1.62105i | ||||
\(315\) | −10.7297 | − | 40.0437i | −0.604548 | − | 2.25620i | ||||
\(316\) | 2.59184 | + | 3.37775i | 0.145802 | + | 0.190013i | ||||
\(317\) | −19.9106 | − | 8.24722i | −1.11829 | − | 0.463210i | −0.254504 | − | 0.967072i | \(-0.581912\pi\) |
−0.863784 | + | 0.503862i | \(0.831912\pi\) | |||||||
\(318\) | −45.0107 | − | 5.92577i | −2.52407 | − | 0.332301i | ||||
\(319\) | 20.8682 | + | 12.0482i | 1.16839 | + | 0.674572i | ||||
\(320\) | 9.08500 | + | 6.97117i | 0.507867 | + | 0.389700i | ||||
\(321\) | −2.46620 | + | 9.20400i | −0.137650 | + | 0.513717i | ||||
\(322\) | −2.88768 | −0.160924 | ||||||||
\(323\) | 1.63909 | − | 10.7414i | 0.0912012 | − | 0.597667i | ||||
\(324\) | −0.838918 | − | 1.45305i | −0.0466066 | − | 0.0807250i | ||||
\(325\) | −17.0853 | + | 63.7631i | −0.947720 | + | 3.53694i | ||||
\(326\) | 2.01648 | − | 15.3167i | 0.111682 | − | 0.848313i | ||||
\(327\) | 29.7006 | + | 17.1477i | 1.64245 | + | 0.948268i | ||||
\(328\) | −0.296952 | − | 0.716906i | −0.0163964 | − | 0.0395845i | ||||
\(329\) | 2.69049 | − | 2.06449i | 0.148332 | − | 0.113819i | ||||
\(330\) | −38.3274 | − | 49.9492i | −2.10985 | − | 2.74961i | ||||
\(331\) | 4.86425 | + | 18.1536i | 0.267364 | + | 0.997815i | 0.960788 | + | 0.277285i | \(0.0894346\pi\) |
−0.693424 | + | 0.720530i | \(0.743899\pi\) | |||||||
\(332\) | −1.61795 | − | 0.433529i | −0.0887966 | − | 0.0237930i | ||||
\(333\) | −0.585873 | + | 1.41442i | −0.0321056 | + | 0.0775098i | ||||
\(334\) | −2.86577 | − | 21.7677i | −0.156808 | − | 1.19107i | ||||
\(335\) | 33.6982 | + | 4.43645i | 1.84113 | + | 0.242389i | ||||
\(336\) | − | 28.9374i | − | 1.57867i | ||||||
\(337\) | 1.71165 | − | 13.0012i | 0.0932393 | − | 0.708223i | −0.879430 | − | 0.476028i | \(-0.842076\pi\) |
0.972669 | − | 0.232195i | \(-0.0745906\pi\) | |||||||
\(338\) | 11.7058 | − | 43.6867i | 0.636713 | − | 2.37625i | ||||
\(339\) | 1.78701 | + | 3.09519i | 0.0970571 | + | 0.168108i | ||||
\(340\) | 10.8135 | + | 6.54274i | 0.586445 | + | 0.354830i | ||||
\(341\) | −9.66650 | − | 16.7429i | −0.523470 | − | 0.906677i | ||||
\(342\) | 16.0355 | + | 16.0355i | 0.867098 | + | 0.867098i | ||||
\(343\) | 18.5503 | − | 7.68379i | 1.00162 | − | 0.414886i | ||||
\(344\) | −12.8788 | + | 3.45357i | −0.694379 | + | 0.186204i | ||||
\(345\) | −3.63420 | − | 8.77374i | −0.195659 | − | 0.472363i | ||||
\(346\) | −36.9353 | − | 15.2991i | −1.98566 | − | 0.822486i | ||||
\(347\) | −30.4593 | + | 4.01004i | −1.63514 | + | 0.215270i | −0.891406 | − | 0.453205i | \(-0.850280\pi\) |
−0.743734 | + | 0.668476i | \(0.766947\pi\) | |||||||
\(348\) | 11.2887 | − | 11.2887i | 0.605138 | − | 0.605138i | ||||
\(349\) | −22.2287 | − | 5.95616i | −1.18987 | − | 0.318826i | −0.391038 | − | 0.920374i | \(-0.627884\pi\) |
−0.798836 | + | 0.601549i | \(0.794551\pi\) | |||||||
\(350\) | −35.2451 | + | 4.64010i | −1.88393 | + | 0.248024i | ||||
\(351\) | −31.0158 | + | 23.7992i | −1.65550 | + | 1.27031i | ||||
\(352\) | −5.39729 | − | 13.0302i | −0.287676 | − | 0.694512i | ||||
\(353\) | −11.5751 | − | 6.68290i | −0.616081 | − | 0.355695i | 0.159261 | − | 0.987237i | \(-0.449089\pi\) |
−0.775342 | + | 0.631542i | \(0.782422\pi\) | |||||||
\(354\) | −35.5695 | − | 27.2934i | −1.89050 | − | 1.45063i | ||||
\(355\) | 40.8875 | + | 40.8875i | 2.17008 | + | 2.17008i | ||||
\(356\) | −0.204257 | − | 0.353784i | −0.0108256 | − | 0.0187505i | ||||
\(357\) | 2.65396 | + | 23.9478i | 0.140462 | + | 1.26745i | ||||
\(358\) | −2.39412 | + | 4.14673i | −0.126533 | + | 0.219162i | ||||
\(359\) | −22.2226 | + | 5.95453i | −1.17287 | + | 0.314268i | −0.792093 | − | 0.610401i | \(-0.791009\pi\) |
−0.380772 | + | 0.924669i | \(0.624342\pi\) | |||||||
\(360\) | 38.0709 | − | 15.7695i | 2.00651 | − | 0.831124i | ||||
\(361\) | 10.4400 | + | 6.02753i | 0.549473 | + | 0.317239i | ||||
\(362\) | −20.7087 | − | 2.72635i | −1.08843 | − | 0.143294i | ||||
\(363\) | −0.122213 | − | 0.928300i | −0.00641452 | − | 0.0487231i | ||||
\(364\) | 10.0281 | − | 1.32022i | 0.525613 | − | 0.0691983i | ||||
\(365\) | −16.3571 | + | 16.3571i | −0.856168 | + | 0.856168i | ||||
\(366\) | 5.75119 | − | 5.75119i | 0.300620 | − | 0.300620i | ||||
\(367\) | 27.0509 | − | 3.56132i | 1.41204 | − | 0.185899i | 0.614385 | − | 0.789007i | \(-0.289404\pi\) |
0.797660 | + | 0.603107i | \(0.206071\pi\) | |||||||
\(368\) | −0.547159 | − | 4.15608i | −0.0285226 | − | 0.216651i | ||||
\(369\) | −1.95249 | − | 0.257050i | −0.101643 | − | 0.0133815i | ||||
\(370\) | 1.68241 | + | 0.971337i | 0.0874641 | + | 0.0504974i | ||||
\(371\) | −18.0123 | + | 7.46093i | −0.935150 | + | 0.387352i | ||||
\(372\) | −12.3722 | + | 3.31513i | −0.641471 | + | 0.171882i | ||||
\(373\) | −6.80041 | + | 11.7787i | −0.352112 | + | 0.609875i | −0.986619 | − | 0.163041i | \(-0.947870\pi\) |
0.634508 | + | 0.772917i | \(0.281203\pi\) | |||||||
\(374\) | 11.1562 | + | 20.2731i | 0.576876 | + | 1.04830i | ||||
\(375\) | −30.4095 | − | 52.6708i | −1.57034 | − | 2.71991i | ||||
\(376\) | 2.38362 | + | 2.38362i | 0.122926 | + | 0.122926i | ||||
\(377\) | −35.9786 | − | 27.6074i | −1.85299 | − | 1.42185i | ||||
\(378\) | −18.2327 | − | 10.5266i | −0.937788 | − | 0.541432i | ||||
\(379\) | −5.26241 | − | 12.7046i | −0.270312 | − | 0.652590i | 0.729185 | − | 0.684317i | \(-0.239899\pi\) |
−0.999497 | + | 0.0317264i | \(0.989899\pi\) | |||||||
\(380\) | 6.40888 | − | 4.91771i | 0.328769 | − | 0.252273i | ||||
\(381\) | −40.4336 | + | 5.32319i | −2.07148 | + | 0.272715i | ||||
\(382\) | 35.1470 | + | 9.41761i | 1.79828 | + | 0.481847i | ||||
\(383\) | −8.97131 | + | 8.97131i | −0.458412 | + | 0.458412i | −0.898134 | − | 0.439722i | \(-0.855077\pi\) |
0.439722 | + | 0.898134i | \(0.355077\pi\) | |||||||
\(384\) | 37.5086 | − | 4.93810i | 1.91410 | − | 0.251996i | ||||
\(385\) | −24.9795 | − | 10.3468i | −1.27307 | − | 0.527324i | ||||
\(386\) | 7.15041 | + | 17.2626i | 0.363946 | + | 0.878644i | ||||
\(387\) | −8.75201 | + | 32.6885i | −0.444889 | + | 1.66165i | ||||
\(388\) | 13.1886 | − | 5.46288i | 0.669548 | − | 0.277336i | ||||
\(389\) | −20.6557 | − | 20.6557i | −1.04729 | − | 1.04729i | −0.998825 | − | 0.0484614i | \(-0.984568\pi\) |
−0.0484614 | − | 0.998825i | \(-0.515432\pi\) | |||||||
\(390\) | 59.2457 | + | 102.617i | 3.00002 | + | 5.19619i | ||||
\(391\) | 0.833983 | + | 3.38928i | 0.0421763 | + | 0.171403i | ||||
\(392\) | 2.86229 | + | 4.95762i | 0.144567 | + | 0.250398i | ||||
\(393\) | −5.58288 | + | 20.8356i | −0.281619 | + | 1.05102i | ||||
\(394\) | −1.36127 | + | 10.3399i | −0.0685799 | + | 0.520916i | ||||
\(395\) | 21.4193i | 1.07772i | ||||||||
\(396\) | −13.4417 | − | 1.76963i | −0.675470 | − | 0.0889273i | ||||
\(397\) | −0.238081 | − | 1.80840i | −0.0119489 | − | 0.0907611i | 0.984431 | − | 0.175770i | \(-0.0562415\pi\) |
−0.996380 | + | 0.0850088i | \(0.972908\pi\) | |||||||
\(398\) | −1.33601 | + | 3.22540i | −0.0669679 | + | 0.161675i | ||||
\(399\) | 14.8754 | + | 3.98586i | 0.744704 | + | 0.199543i | ||||
\(400\) | −13.3565 | − | 49.8472i | −0.667826 | − | 2.49236i | ||||
\(401\) | −19.8684 | − | 25.8930i | −0.992181 | − | 1.29303i | −0.955900 | − | 0.293693i | \(-0.905116\pi\) |
−0.0362808 | − | 0.999342i | \(-0.511551\pi\) | |||||||
\(402\) | 32.7091 | − | 25.0986i | 1.63138 | − | 1.25180i | ||||
\(403\) | 13.9240 | + | 33.6155i | 0.693603 | + | 1.67451i | ||||
\(404\) | 5.70280 | + | 3.29252i | 0.283725 | + | 0.163809i | ||||
\(405\) | 1.10177 | − | 8.36879i | 0.0547475 | − | 0.415848i | ||||
\(406\) | 6.32089 | − | 23.5899i | 0.313701 | − | 1.17075i | ||||
\(407\) | 0.499242 | + | 0.864713i | 0.0247465 | + | 0.0428622i | ||||
\(408\) | −23.2562 | + | 5.72254i | −1.15135 | + | 0.283308i | ||||
\(409\) | 29.9894 | 1.48288 | 0.741439 | − | 0.671020i | \(-0.234144\pi\) | ||||
0.741439 | + | 0.671020i | \(0.234144\pi\) | |||||||
\(410\) | −0.646775 | + | 2.41380i | −0.0319419 | + | 0.119209i | ||||
\(411\) | −2.77918 | − | 2.13254i | −0.137087 | − | 0.105191i | ||||
\(412\) | −0.467041 | − | 0.269646i | −0.0230094 | − | 0.0132845i | ||||
\(413\) | −19.0891 | − | 2.51313i | −0.939312 | − | 0.123663i | ||||
\(414\) | −6.73015 | − | 2.78772i | −0.330769 | − | 0.137009i | ||||
\(415\) | −5.12995 | − | 6.68548i | −0.251819 | − | 0.328177i | ||||
\(416\) | 6.87000 | + | 25.6392i | 0.336830 | + | 1.25706i | ||||
\(417\) | −11.7504 | − | 43.8530i | −0.575419 | − | 2.14749i | ||||
\(418\) | 14.6637 | − | 1.93051i | 0.717223 | − | 0.0944243i | ||||
\(419\) | −2.43971 | − | 1.01056i | −0.119188 | − | 0.0493691i | 0.322293 | − | 0.946640i | \(-0.395546\pi\) |
−0.441480 | + | 0.897271i | \(0.645546\pi\) | |||||||
\(420\) | −10.9049 | + | 14.2115i | −0.532103 | + | 0.693451i | ||||
\(421\) | −3.67010 | − | 2.11893i | −0.178870 | − | 0.103270i | 0.407892 | − | 0.913030i | \(-0.366264\pi\) |
−0.586761 | + | 0.809760i | \(0.699597\pi\) | |||||||
\(422\) | 22.0288 | − | 9.12461i | 1.07234 | − | 0.444179i | ||||
\(423\) | 8.26361 | − | 2.21423i | 0.401791 | − | 0.107659i | ||||
\(424\) | −9.68971 | − | 16.7831i | −0.470574 | − | 0.815058i | ||||
\(425\) | 15.6251 | + | 40.0272i | 0.757931 | + | 1.94160i | ||||
\(426\) | 70.1407 | 3.39833 | ||||||||
\(427\) | 0.904013 | − | 3.37382i | 0.0437483 | − | 0.163271i | ||||
\(428\) | 2.40551 | − | 0.996396i | 0.116275 | − | 0.0481626i | ||||
\(429\) | 60.9015i | 2.94035i | ||||||||
\(430\) | 39.6749 | + | 16.4248i | 1.91329 | + | 0.792073i | ||||
\(431\) | 23.4540 | + | 9.71497i | 1.12974 | + | 0.467954i | 0.867693 | − | 0.497101i | \(-0.165602\pi\) |
0.262048 | + | 0.965055i | \(0.415602\pi\) | |||||||
\(432\) | 11.6957 | − | 28.2360i | 0.562710 | − | 1.35850i | ||||
\(433\) | 25.5205 | + | 6.83820i | 1.22644 | + | 0.328623i | 0.813191 | − | 0.581996i | \(-0.197728\pi\) |
0.413246 | + | 0.910619i | \(0.364395\pi\) | |||||||
\(434\) | −13.8552 | + | 13.8552i | −0.665071 | + | 0.665071i | ||||
\(435\) | 79.6291 | − | 10.4834i | 3.81792 | − | 0.502639i | ||||
\(436\) | −1.22319 | − | 9.29102i | −0.0585800 | − | 0.444959i | ||||
\(437\) | 2.21182 | + | 0.291192i | 0.105806 | + | 0.0139296i | ||||
\(438\) | 28.0598i | 1.34075i | ||||||||
\(439\) | −3.40342 | + | 25.8516i | −0.162437 | + | 1.23383i | 0.694913 | + | 0.719094i | \(0.255443\pi\) |
−0.857350 | + | 0.514734i | \(0.827891\pi\) | |||||||
\(440\) | 6.95587 | − | 25.9597i | 0.331608 | − | 1.23758i | ||||
\(441\) | 14.5284 | 0.691827 | ||||||||
\(442\) | −15.8365 | − | 40.5687i | −0.753266 | − | 1.92965i | ||||
\(443\) | 11.8937 | − | 20.6005i | 0.565087 | − | 0.978760i | −0.431954 | − | 0.901896i | \(-0.642176\pi\) |
0.997042 | − | 0.0768646i | \(-0.0244909\pi\) | |||||||
\(444\) | 0.638985 | − | 0.171216i | 0.0303249 | − | 0.00812553i | ||||
\(445\) | 0.268256 | − | 2.03761i | 0.0127166 | − | 0.0965918i | ||||
\(446\) | 25.0292i | 1.18517i | ||||||||
\(447\) | −37.9552 | − | 4.99690i | −1.79522 | − | 0.236345i | ||||
\(448\) | 4.73255 | − | 3.63141i | 0.223592 | − | 0.171568i | ||||
\(449\) | −14.7544 | + | 1.94245i | −0.696302 | + | 0.0916699i | −0.470365 | − | 0.882472i | \(-0.655878\pi\) |
−0.225937 | + | 0.974142i | \(0.572544\pi\) | |||||||
\(450\) | −86.6233 | − | 23.2106i | −4.08346 | − | 1.09416i | ||||
\(451\) | −0.908204 | + | 0.908204i | −0.0427656 | + | 0.0427656i | ||||
\(452\) | 0.373729 | − | 0.902261i | 0.0175787 | − | 0.0424388i | ||||
\(453\) | 8.56421 | + | 65.0517i | 0.402382 | + | 3.05639i | ||||
\(454\) | −5.60774 | + | 7.30815i | −0.263184 | + | 0.342988i | ||||
\(455\) | 44.0680 | + | 25.4427i | 2.06594 | + | 1.19277i | ||||
\(456\) | −1.99807 | + | 15.1769i | −0.0935683 | + | 0.710722i | ||||
\(457\) | 6.20419 | + | 6.20419i | 0.290220 | + | 0.290220i | 0.837167 | − | 0.546947i | \(-0.184210\pi\) |
−0.546947 | + | 0.837167i | \(0.684210\pi\) | |||||||
\(458\) | 12.7757 | − | 22.1282i | 0.596971 | − | 1.03398i | ||||
\(459\) | −7.08943 | + | 24.4399i | −0.330906 | + | 1.14076i | ||||
\(460\) | −1.29748 | + | 2.24729i | −0.0604951 | + | 0.104781i | ||||
\(461\) | 6.88770 | − | 25.7052i | 0.320792 | − | 1.19721i | −0.597683 | − | 0.801733i | \(-0.703912\pi\) |
0.918475 | − | 0.395479i | \(-0.129422\pi\) | |||||||
\(462\) | −30.3003 | + | 12.5508i | −1.40970 | + | 0.583916i | ||||
\(463\) | −35.4691 | + | 20.4781i | −1.64839 | + | 0.951697i | −0.670674 | + | 0.741752i | \(0.733995\pi\) |
−0.977713 | + | 0.209945i | \(0.932671\pi\) | |||||||
\(464\) | 35.1494 | + | 4.62751i | 1.63177 | + | 0.214827i | ||||
\(465\) | −59.5339 | − | 24.6597i | −2.76082 | − | 1.14357i | ||||
\(466\) | 5.52840 | + | 7.20476i | 0.256098 | + | 0.333754i | ||||
\(467\) | −2.43440 | − | 0.652294i | −0.112650 | − | 0.0301846i | 0.202053 | − | 0.979374i | \(-0.435239\pi\) |
−0.314704 | + | 0.949190i | \(0.601905\pi\) | |||||||
\(468\) | 24.6464 | + | 6.60398i | 1.13928 | + | 0.305269i | ||||
\(469\) | 6.77559 | − | 16.3577i | 0.312868 | − | 0.755330i | ||||
\(470\) | −1.41697 | − | 10.7629i | −0.0653599 | − | 0.496458i | ||||
\(471\) | −19.4961 | − | 47.0678i | −0.898333 | − | 2.16877i | ||||
\(472\) | − | 19.1383i | − | 0.880913i | ||||||
\(473\) | 13.4389 | + | 17.5068i | 0.617922 | + | 0.804965i | ||||
\(474\) | 18.3719 | + | 18.3719i | 0.843849 | + | 0.843849i | ||||
\(475\) | 27.4640 | 1.26013 | ||||||||
\(476\) | 4.75002 | − | 4.55890i | 0.217717 | − | 0.208957i | ||||
\(477\) | −49.1829 | −2.25193 | ||||||||
\(478\) | −0.591378 | + | 2.20705i | −0.0270490 | + | 0.100948i | ||||
\(479\) | −7.56648 | − | 5.80597i | −0.345721 | − | 0.265281i | 0.421275 | − | 0.906933i | \(-0.361583\pi\) |
−0.766996 | + | 0.641652i | \(0.778249\pi\) | |||||||
\(480\) | −40.7114 | − | 23.5048i | −1.85821 | − | 1.07284i | ||||
\(481\) | −0.719127 | − | 1.73613i | −0.0327894 | − | 0.0791606i | ||||
\(482\) | −34.0322 | + | 26.1138i | −1.55012 | + | 1.18945i | ||||
\(483\) | −4.90465 | + | 0.645710i | −0.223169 | + | 0.0293808i | ||||
\(484\) | −0.180911 | + | 0.180911i | −0.00822322 | + | 0.00822322i | ||||
\(485\) | 69.3698 | + | 18.5876i | 3.14992 | + | 0.844018i | ||||
\(486\) | 12.5624 | + | 16.3717i | 0.569844 | + | 0.742635i | ||||
\(487\) | 24.0175 | − | 18.4293i | 1.08834 | − | 0.835110i | 0.101181 | − | 0.994868i | \(-0.467738\pi\) |
0.987156 | + | 0.159758i | \(0.0510714\pi\) | |||||||
\(488\) | 3.44219 | + | 0.453173i | 0.155821 | + | 0.0205142i | ||||
\(489\) | − | 26.4659i | − | 1.19683i | ||||||
\(490\) | 2.40631 | − | 18.2777i | 0.108706 | − | 0.825703i | ||||
\(491\) | −21.0830 | + | 5.64917i | −0.951463 | + | 0.254944i | −0.700983 | − | 0.713178i | \(-0.747255\pi\) |
−0.250480 | + | 0.968122i | \(0.580588\pi\) | |||||||
\(492\) | 0.425475 | + | 0.736944i | 0.0191819 | + | 0.0332240i | ||||
\(493\) | −29.5131 | − | 0.605916i | −1.32920 | − | 0.0272891i | ||||
\(494\) | −27.8355 | −1.25238 | ||||||||
\(495\) | −48.2297 | − | 48.2297i | −2.16776 | − | 2.16776i | ||||
\(496\) | −22.5664 | − | 17.3158i | −1.01326 | − | 0.777501i | ||||
\(497\) | 26.0859 | − | 15.0607i | 1.17011 | − | 0.675566i | ||||
\(498\) | −10.1344 | − | 1.33422i | −0.454134 | − | 0.0597879i | ||||
\(499\) | −18.6145 | + | 14.2834i | −0.833298 | + | 0.639412i | −0.934702 | − | 0.355433i | \(-0.884333\pi\) |
0.101403 | + | 0.994845i | \(0.467667\pi\) | |||||||
\(500\) | −6.35972 | + | 15.3537i | −0.284415 | + | 0.686639i | ||||
\(501\) | −9.73489 | − | 36.3311i | −0.434923 | − | 1.62315i | ||||
\(502\) | −0.457307 | − | 1.70669i | −0.0204106 | − | 0.0761734i | ||||
\(503\) | −7.04619 | − | 9.18277i | −0.314174 | − | 0.409439i | 0.609398 | − | 0.792864i | \(-0.291411\pi\) |
−0.923572 | + | 0.383425i | \(0.874744\pi\) | |||||||
\(504\) | −2.80185 | − | 21.2822i | −0.124804 | − | 0.947984i | ||||
\(505\) | 12.6777 | + | 30.6068i | 0.564152 | + | 1.36198i | ||||
\(506\) | −4.11451 | + | 2.37551i | −0.182912 | + | 0.105604i | ||||
\(507\) | 10.1133 | − | 76.8185i | 0.449149 | − | 3.41163i | ||||
\(508\) | 7.87987 | + | 7.87987i | 0.349612 | + | 0.349612i | ||||
\(509\) | −12.2265 | + | 21.1769i | −0.541929 | + | 0.938649i | 0.456864 | + | 0.889536i | \(0.348973\pi\) |
−0.998793 | + | 0.0491122i | \(0.984361\pi\) | |||||||
\(510\) | 70.6365 | + | 30.9722i | 3.12784 | + | 1.37147i | ||||
\(511\) | 6.02504 | + | 10.4357i | 0.266532 | + | 0.461647i | ||||
\(512\) | −0.433144 | − | 0.433144i | −0.0191424 | − | 0.0191424i | ||||
\(513\) | 12.9039 | + | 9.90149i | 0.569720 | + | 0.437161i | ||||
\(514\) | − | 34.5366i | − | 1.52334i | ||||||
\(515\) | −1.03826 | − | 2.50659i | −0.0457514 | − | 0.110454i | ||||
\(516\) | 13.5080 | − | 5.59831i | 0.594658 | − | 0.246452i | ||||
\(517\) | 2.13523 | − | 5.15489i | 0.0939071 | − | 0.226712i | ||||
\(518\) | 0.715575 | − | 0.715575i | 0.0314406 | − | 0.0314406i | ||||
\(519\) | −66.1549 | − | 17.7261i | −2.90388 | − | 0.778091i | ||||
\(520\) | −19.3562 | + | 46.7300i | −0.848825 | + | 2.04924i | ||||
\(521\) | 2.36322 | + | 17.9505i | 0.103535 | + | 0.786424i | 0.961903 | + | 0.273390i | \(0.0881450\pi\) |
−0.858369 | + | 0.513034i | \(0.828522\pi\) | |||||||
\(522\) | 37.5051 | − | 48.8776i | 1.64155 | − | 2.13932i | ||||
\(523\) | 10.3500 | + | 5.97555i | 0.452572 | + | 0.261292i | 0.708916 | − | 0.705293i | \(-0.249185\pi\) |
−0.256344 | + | 0.966586i | \(0.582518\pi\) | |||||||
\(524\) | 5.44549 | − | 2.25559i | 0.237887 | − | 0.0985361i | ||||
\(525\) | −58.8254 | + | 15.7622i | −2.56735 | + | 0.687919i | ||||
\(526\) | −14.5469 | − | 25.1960i | −0.634276 | − | 1.09860i | ||||
\(527\) | 20.2634 | + | 12.2604i | 0.882687 | + | 0.534072i | ||||
\(528\) | −23.8051 | − | 41.2316i | −1.03598 | − | 1.79437i | ||||
\(529\) | 21.5241 | − | 5.76736i | 0.935830 | − | 0.250755i | ||||
\(530\) | −8.14608 | + | 61.8756i | −0.353843 | + | 2.68770i | ||||
\(531\) | −42.0638 | − | 24.2855i | −1.82541 | − | 1.05390i | ||||
\(532\) | −1.61037 | − | 3.88777i | −0.0698183 | − | 0.168556i | ||||
\(533\) | 1.91774 | − | 1.47153i | 0.0830665 | − | 0.0637392i | ||||
\(534\) | −1.51762 | − | 1.97780i | −0.0656738 | − | 0.0855878i | ||||
\(535\) | 12.6526 | + | 3.39026i | 0.547020 | + | 0.146574i | ||||
\(536\) | 16.9996 | + | 4.55503i | 0.734271 | + | 0.196747i | ||||
\(537\) | −3.13911 | + | 7.57848i | −0.135463 | + | 0.327036i | ||||
\(538\) | 10.5546 | + | 4.37184i | 0.455039 | + | 0.188483i | ||||
\(539\) | 5.76822 | − | 7.51729i | 0.248455 | − | 0.323793i | ||||
\(540\) | −16.3844 | + | 9.45955i | −0.705073 | + | 0.407074i | ||||
\(541\) | 3.67486 | − | 27.9133i | 0.157994 | − | 1.20009i | −0.710250 | − | 0.703950i | \(-0.751418\pi\) |
0.868244 | − | 0.496137i | \(-0.165249\pi\) | |||||||
\(542\) | 21.5696 | − | 5.77955i | 0.926493 | − | 0.248253i | ||||
\(543\) | −35.7829 | −1.53559 | ||||||||
\(544\) | 13.4886 | + | 10.7972i | 0.578319 | + | 0.462926i | ||||
\(545\) | 23.5727 | − | 40.8291i | 1.00974 | − | 1.74893i | ||||
\(546\) | 59.6212 | − | 15.9754i | 2.55155 | − | 0.683686i | ||||
\(547\) | 24.3181 | + | 18.6600i | 1.03977 | + | 0.797842i | 0.979724 | − | 0.200353i | \(-0.0642090\pi\) |
0.0600447 | + | 0.998196i | \(0.480876\pi\) | |||||||
\(548\) | 0.957216i | 0.0408902i | ||||||||
\(549\) | 5.36398 | − | 6.99047i | 0.228929 | − | 0.298346i | ||||
\(550\) | −46.4019 | + | 35.6054i | −1.97858 | + | 1.51822i | ||||
\(551\) | −7.22030 | + | 17.4313i | −0.307595 | + | 0.742600i | ||||
\(552\) | −1.27269 | − | 4.74975i | −0.0541694 | − | 0.202163i | ||||
\(553\) | 10.7775 | + | 2.88783i | 0.458306 | + | 0.122803i | ||||
\(554\) | −11.9388 | + | 1.57178i | −0.507233 | + | 0.0667785i | ||||
\(555\) | 3.07473 | + | 1.27359i | 0.130515 | + | 0.0540611i | ||||
\(556\) | −7.55201 | + | 9.84197i | −0.320277 | + | 0.417393i | ||||
\(557\) | 30.6803i | 1.29997i | 0.759949 | + | 0.649983i | \(0.225224\pi\) | ||||
−0.759949 | + | 0.649983i | \(0.774776\pi\) | |||||||
\(558\) | −45.6672 | + | 18.9160i | −1.93325 | + | 0.800777i | ||||
\(559\) | −20.7753 | − | 35.9677i | −0.878703 | − | 1.52127i | ||||
\(560\) | −39.7799 | −1.68101 | ||||||||
\(561\) | 23.4819 | + | 31.9388i | 0.991406 | + | 1.34846i | ||||
\(562\) | −22.2420 | − | 38.5243i | −0.938223 | − | 1.62505i | ||||
\(563\) | −17.3731 | − | 17.3731i | −0.732191 | − | 0.732191i | 0.238863 | − | 0.971053i | \(-0.423225\pi\) |
−0.971053 | + | 0.238863i | \(0.923225\pi\) | |||||||
\(564\) | −2.93276 | − | 2.25039i | −0.123491 | − | 0.0947583i | ||||
\(565\) | 4.25492 | − | 2.45658i | 0.179006 | − | 0.103349i | ||||
\(566\) | −28.1211 | − | 3.70221i | −1.18202 | − | 0.155615i | ||||
\(567\) | −4.06237 | − | 1.68269i | −0.170603 | − | 0.0706663i | ||||
\(568\) | 18.2268 | + | 23.7536i | 0.764780 | + | 0.996680i | ||||
\(569\) | −8.14097 | − | 2.18137i | −0.341287 | − | 0.0914477i | 0.0841045 | − | 0.996457i | \(-0.473197\pi\) |
−0.425392 | + | 0.905009i | \(0.639864\pi\) | |||||||
\(570\) | 34.8585 | − | 34.8585i | 1.46006 | − | 1.46006i | ||||
\(571\) | 31.7021 | − | 4.17366i | 1.32669 | − | 0.174662i | 0.566338 | − | 0.824173i | \(-0.308360\pi\) |
0.760352 | + | 0.649511i | \(0.225026\pi\) | |||||||
\(572\) | 13.2024 | − | 10.1306i | 0.552022 | − | 0.423581i | ||||
\(573\) | 61.8023 | + | 8.13642i | 2.58183 | + | 0.339904i | ||||
\(574\) | 1.12735 | + | 0.650874i | 0.0470545 | + | 0.0271670i | ||||
\(575\) | −8.15064 | + | 3.37611i | −0.339905 | + | 0.140793i | ||||
\(576\) | 14.5356 | − | 3.89481i | 0.605651 | − | 0.162284i | ||||
\(577\) | 16.1422 | − | 27.9592i | 0.672010 | − | 1.16396i | −0.305323 | − | 0.952249i | \(-0.598764\pi\) |
0.977333 | − | 0.211707i | \(-0.0679023\pi\) | |||||||
\(578\) | −23.9473 | − | 15.1695i | −0.996078 | − | 0.630967i | ||||
\(579\) | 16.0049 | + | 27.7213i | 0.665140 | + | 1.15206i | ||||
\(580\) | −15.5184 | − | 15.5184i | −0.644368 | − | 0.644368i | ||||
\(581\) | −4.05557 | + | 1.67987i | −0.168253 | + | 0.0696928i | ||||
\(582\) | 75.4434 | − | 43.5573i | 3.12723 | − | 1.80551i | ||||
\(583\) | −19.5272 | + | 25.4483i | −0.808733 | + | 1.05396i | ||||
\(584\) | −9.50264 | + | 7.29163i | −0.393222 | + | 0.301730i | ||||
\(585\) | 78.1450 | + | 101.840i | 3.23090 | + | 4.21059i | ||||
\(586\) | −28.9984 | + | 28.9984i | −1.19791 | + | 1.19791i | ||||
\(587\) | 3.88214 | + | 14.4883i | 0.160233 | + | 0.597997i | 0.998600 | + | 0.0528916i | \(0.0168438\pi\) |
−0.838367 | + | 0.545106i | \(0.816490\pi\) | |||||||
\(588\) | −3.82162 | − | 4.98043i | −0.157601 | − | 0.205390i | ||||
\(589\) | 12.0096 | − | 9.21527i | 0.494846 | − | 0.379709i | ||||
\(590\) | −37.5199 | + | 48.8969i | −1.54467 | + | 2.01305i | ||||
\(591\) | 17.8665i | 0.734928i | ||||||||
\(592\) | 1.16548 | + | 0.894303i | 0.0479008 | + | 0.0367556i | ||||
\(593\) | 2.55544 | − | 0.684729i | 0.104939 | − | 0.0281184i | −0.205967 | − | 0.978559i | \(-0.566034\pi\) |
0.310907 | + | 0.950440i | \(0.399367\pi\) | |||||||
\(594\) | −34.6385 | −1.42123 | ||||||||
\(595\) | 32.9207 | − | 3.64836i | 1.34962 | − | 0.149568i | ||||
\(596\) | 5.23037 | + | 9.05927i | 0.214244 | + | 0.371082i | ||||
\(597\) | −1.54795 | + | 5.77702i | −0.0633533 | + | 0.236438i | ||||
\(598\) | 8.26090 | − | 3.42178i | 0.337814 | − | 0.139927i | ||||
\(599\) | −30.6026 | + | 17.6684i | −1.25039 | + | 0.721913i | −0.971187 | − | 0.238319i | \(-0.923404\pi\) |
−0.279203 | + | 0.960232i | \(0.590070\pi\) | |||||||
\(600\) | −23.1658 | − | 55.9273i | −0.945742 | − | 2.28322i | ||||
\(601\) | −8.64767 | − | 3.58198i | −0.352746 | − | 0.146112i | 0.199272 | − | 0.979944i | \(-0.436142\pi\) |
−0.552018 | + | 0.833832i | \(0.686142\pi\) | |||||||
\(602\) | 13.6136 | − | 17.7487i | 0.554847 | − | 0.723383i | ||||
\(603\) | 31.5830 | − | 31.5830i | 1.28616 | − | 1.28616i | ||||
\(604\) | 12.6775 | − | 12.6775i | 0.515841 | − | 0.515841i | ||||
\(605\) | −1.27612 | + | 0.168005i | −0.0518817 | + | 0.00683036i | ||||
\(606\) | 37.1263 | + | 15.3782i | 1.50815 | + | 0.624697i | ||||
\(607\) | 0.120257 | − | 0.156722i | 0.00488107 | − | 0.00636113i | −0.790906 | − | 0.611937i | \(-0.790391\pi\) |
0.795787 | + | 0.605576i | \(0.207057\pi\) | |||||||
\(608\) | 9.56376 | − | 5.52164i | 0.387862 | − | 0.223932i | ||||
\(609\) | 5.46099 | − | 41.4803i | 0.221290 | − | 1.68087i | ||||
\(610\) | −7.90609 | − | 7.90609i | −0.320108 | − | 0.320108i | ||||
\(611\) | −5.25048 | + | 9.09409i | −0.212412 | + | 0.367908i | ||||
\(612\) | 15.4717 | − | 6.03960i | 0.625407 | − | 0.244136i | ||||
\(613\) | −42.0538 | −1.69854 | −0.849268 | − | 0.527961i | \(-0.822957\pi\) | ||||
−0.849268 | + | 0.527961i | \(0.822957\pi\) | |||||||
\(614\) | −7.35389 | + | 27.4451i | −0.296779 | + | 1.10759i | ||||
\(615\) | −0.558786 | + | 4.24440i | −0.0225324 | + | 0.171151i | ||||
\(616\) | −12.1243 | − | 6.99996i | −0.488501 | − | 0.282036i | ||||
\(617\) | 17.7488 | + | 2.33667i | 0.714539 | + | 0.0940708i | 0.479026 | − | 0.877801i | \(-0.340990\pi\) |
0.235512 | + | 0.971871i | \(0.424323\pi\) | |||||||
\(618\) | −3.04052 | − | 1.25942i | −0.122308 | − | 0.0506615i | ||||
\(619\) | 17.4439 | + | 22.7333i | 0.701129 | + | 0.913729i | 0.999166 | − | 0.0408252i | \(-0.0129987\pi\) |
−0.298037 | + | 0.954554i | \(0.596332\pi\) | |||||||
\(620\) | 4.55727 | + | 17.0080i | 0.183024 | + | 0.683056i | ||||
\(621\) | −5.04674 | − | 1.35227i | −0.202519 | − | 0.0542647i | ||||
\(622\) | −15.2400 | + | 2.00639i | −0.611070 | + | 0.0804489i | ||||
\(623\) | −0.989093 | − | 0.409696i | −0.0396272 | − | 0.0164141i | ||||
\(624\) | 34.2897 | + | 82.7826i | 1.37269 | + | 3.31396i | ||||
\(625\) | −27.2795 | + | 15.7498i | −1.09118 | + | 0.629993i | ||||
\(626\) | −32.3034 | − | 24.7873i | −1.29111 | − | 0.990700i | ||||
\(627\) | 24.4742 | − | 6.55785i | 0.977407 | − | 0.261895i | ||||
\(628\) | −6.96045 | + | 12.0559i | −0.277752 | + | 0.481081i | ||||
\(629\) | −1.04654 | − | 0.633210i | −0.0417281 | − | 0.0252477i | ||||
\(630\) | −34.5643 | + | 59.8671i | −1.37707 | + | 2.38516i | ||||
\(631\) | −15.3309 | + | 4.10791i | −0.610315 | + | 0.163533i | −0.550721 | − | 0.834689i | \(-0.685647\pi\) |
−0.0595938 | + | 0.998223i | \(0.518981\pi\) | |||||||
\(632\) | −1.44764 | + | 10.9959i | −0.0575839 | + | 0.437393i | ||||
\(633\) | 35.3750 | − | 20.4238i | 1.40603 | − | 0.811772i | ||||
\(634\) | 13.7523 | + | 33.2010i | 0.546174 | + | 1.31858i | ||||
\(635\) | 7.31772 | + | 55.5836i | 0.290395 | + | 2.20577i | ||||
\(636\) | 12.9373 | + | 16.8603i | 0.512999 | + | 0.668553i | ||||
\(637\) | −12.6097 | + | 12.6097i | −0.499614 | + | 0.499614i | ||||
\(638\) | −10.3996 | − | 38.8119i | −0.411725 | − | 1.53658i | ||||
\(639\) | 75.3366 | − | 9.91825i | 2.98027 | − | 0.392360i | ||||
\(640\) | −6.78834 | − | 51.5625i | −0.268333 | − | 2.03819i | ||||
\(641\) | 3.99461 | + | 9.64385i | 0.157778 | + | 0.380909i | 0.982925 | − | 0.184009i | \(-0.0589076\pi\) |
−0.825147 | + | 0.564918i | \(0.808908\pi\) | |||||||
\(642\) | 13.7604 | − | 7.94458i | 0.543080 | − | 0.313547i | ||||
\(643\) | 9.87406 | − | 4.08997i | 0.389395 | − | 0.161293i | −0.179392 | − | 0.983778i | \(-0.557413\pi\) |
0.568787 | + | 0.822485i | \(0.307413\pi\) | |||||||
\(644\) | 0.955838 | + | 0.955838i | 0.0376653 | + | 0.0376653i | ||||
\(645\) | 71.0596 | + | 19.0255i | 2.79797 | + | 0.749127i | ||||
\(646\) | −14.5979 | + | 10.7326i | −0.574346 | + | 0.422267i | ||||
\(647\) | −24.0716 | −0.946351 | −0.473176 | − | 0.880968i | \(-0.656892\pi\) | ||||
−0.473176 | + | 0.880968i | \(0.656892\pi\) | |||||||
\(648\) | 1.13122 | − | 4.22178i | 0.0444386 | − | 0.165847i | ||||
\(649\) | −29.2665 | + | 12.1226i | −1.14881 | + | 0.475853i | ||||
\(650\) | 95.3288 | − | 55.0381i | 3.73910 | − | 2.15877i | ||||
\(651\) | −20.4346 | + | 26.6309i | −0.800895 | + | 1.04375i | ||||
\(652\) | −5.73738 | + | 4.40245i | −0.224693 | + | 0.172413i | ||||
\(653\) | −1.71206 | + | 4.13327i | −0.0669979 | + | 0.161747i | −0.953832 | − | 0.300341i | \(-0.902900\pi\) |
0.886834 | + | 0.462088i | \(0.152900\pi\) | |||||||
\(654\) | −14.8013 | − | 55.2391i | −0.578776 | − | 2.16002i | ||||
\(655\) | 28.6424 | + | 7.67471i | 1.11915 | + | 0.299876i | ||||
\(656\) | −0.723159 | + | 1.74586i | −0.0282346 | + | 0.0681644i | ||||
\(657\) | 3.96779 | + | 30.1384i | 0.154798 | + | 1.17581i | ||||
\(658\) | −5.60662 | − | 0.738126i | −0.218569 | − | 0.0287751i | ||||
\(659\) | −14.3696 | − | 8.29630i | −0.559761 | − | 0.323178i | 0.193289 | − | 0.981142i | \(-0.438085\pi\) |
−0.753050 | + | 0.657964i | \(0.771418\pi\) | |||||||
\(660\) | −3.84690 | + | 29.2201i | −0.149740 | + | 1.13739i | ||||
\(661\) | 24.4314 | + | 24.4314i | 0.950270 | + | 0.950270i | 0.998821 | − | 0.0485508i | \(-0.0154603\pi\) |
−0.0485508 | + | 0.998821i | \(0.515460\pi\) | |||||||
\(662\) | 15.6696 | − | 27.1405i | 0.609016 | − | 1.05485i | ||||
\(663\) | −35.9695 | − | 65.3638i | −1.39694 | − | 2.53852i | ||||
\(664\) | −2.18169 | − | 3.77880i | −0.0846661 | − | 0.146646i | ||||
\(665\) | 5.47931 | − | 20.4491i | 0.212479 | − | 0.792981i | ||||
\(666\) | 2.35856 | − | 0.976947i | 0.0913923 | − | 0.0378559i | ||||
\(667\) | − | 6.06079i | − | 0.234675i | ||||||
\(668\) | −6.25664 | + | 8.15381i | −0.242077 | + | 0.315481i | ||||
\(669\) | 5.59676 | + | 42.5116i | 0.216383 | + | 1.64359i | ||||
\(670\) | −34.5027 | − | 44.9647i | −1.33295 | − | 1.73714i | ||||
\(671\) | −1.48735 | − | 5.55088i | −0.0574186 | − | 0.214289i | ||||
\(672\) | −17.3157 | + | 17.3157i | −0.667969 | + | 0.667969i | ||||
\(673\) | 16.4914 | + | 21.4920i | 0.635697 | + | 0.828457i | 0.994476 | − | 0.104966i | \(-0.0334734\pi\) |
−0.358779 | + | 0.933423i | \(0.616807\pi\) | |||||||
\(674\) | −17.3480 | + | 13.3116i | −0.668222 | + | 0.512745i | ||||
\(675\) | −63.7700 | − | 8.39548i | −2.45451 | − | 0.323142i | ||||
\(676\) | −18.3353 | + | 10.5859i | −0.705203 | + | 0.407149i | ||||
\(677\) | 8.32108 | − | 3.44670i | 0.319805 | − | 0.132468i | −0.217006 | − | 0.976170i | \(-0.569629\pi\) |
0.536811 | + | 0.843703i | \(0.319629\pi\) | |||||||
\(678\) | 1.54249 | − | 5.75664i | 0.0592388 | − | 0.221082i | ||||
\(679\) | 18.7054 | − | 32.3987i | 0.717846 | − | 1.24335i | ||||
\(680\) | 7.86670 | + | 31.9700i | 0.301674 | + | 1.22599i | ||||
\(681\) | −7.89045 | + | 13.6667i | −0.302363 | + | 0.523708i | ||||
\(682\) | −8.34379 | + | 31.1394i | −0.319500 | + | 1.19239i | ||||
\(683\) | −1.39597 | − | 1.07116i | −0.0534152 | − | 0.0409869i | 0.581709 | − | 0.813397i | \(-0.302384\pi\) |
−0.635124 | + | 0.772410i | \(0.719051\pi\) | |||||||
\(684\) | − | 10.6157i | − | 0.405900i | ||||||
\(685\) | −2.93158 | + | 3.82051i | −0.112010 | + | 0.145974i | ||||
\(686\) | −30.9328 | − | 12.8128i | −1.18102 | − | 0.489194i | ||||
\(687\) | 16.7512 | − | 40.4411i | 0.639099 | − | 1.54292i | ||||
\(688\) | 28.1243 | + | 16.2302i | 1.07223 | + | 0.618772i | ||||
\(689\) | 42.6876 | − | 42.6876i | 1.62627 | − | 1.62627i | ||||
\(690\) | −6.06006 | + | 14.6303i | −0.230703 | + | 0.556965i | ||||
\(691\) | 2.71443 | + | 20.6181i | 0.103262 | + | 0.784350i | 0.962214 | + | 0.272295i | \(0.0877825\pi\) |
−0.858952 | + | 0.512056i | \(0.828884\pi\) | |||||||
\(692\) | 7.16172 | + | 17.2899i | 0.272248 | + | 0.657264i | ||||
\(693\) | −30.7702 | + | 17.7652i | −1.16886 | + | 0.674843i | ||||
\(694\) | 40.6430 | + | 31.1865i | 1.54279 | + | 1.18382i | ||||
\(695\) | −60.2842 | + | 16.1531i | −2.28671 | + | 0.612722i | ||||
\(696\) | 41.5873 | 1.57636 | ||||||||
\(697\) | 0.438347 | − | 1.51115i | 0.0166036 | − | 0.0572388i | ||||
\(698\) | 19.1870 | + | 33.2329i | 0.726240 | + | 1.25788i | ||||
\(699\) | 11.0009 | + | 11.0009i | 0.416093 | + | 0.416093i | ||||
\(700\) | 13.2022 | + | 10.1304i | 0.498997 | + | 0.382894i | ||||
\(701\) | −19.2697 | − | 11.1254i | −0.727808 | − | 0.420200i | 0.0898119 | − | 0.995959i | \(-0.471373\pi\) |
−0.817620 | + | 0.575759i | \(0.804707\pi\) | |||||||
\(702\) | 64.6327 | + | 8.50906i | 2.43940 | + | 0.321154i | ||||
\(703\) | −0.620255 | + | 0.475938i | −0.0233934 | + | 0.0179504i | ||||
\(704\) | 3.75584 | − | 9.06740i | 0.141554 | − | 0.341741i | ||||
\(705\) | −4.81338 | − | 17.9638i | −0.181282 | − | 0.676555i | ||||
\(706\) | 5.76845 | + | 21.5281i | 0.217098 | + | 0.810222i | ||||
\(707\) | 17.1096 | − | 2.25253i | 0.643474 | − | 0.0847149i | ||||
\(708\) | 2.73942 | + | 20.8080i | 0.102954 | + | 0.782012i | ||||
\(709\) | −16.0556 | − | 38.7618i | −0.602982 | − | 1.45573i | −0.870497 | − | 0.492174i | \(-0.836202\pi\) |
0.267514 | − | 0.963554i | \(-0.413798\pi\) | |||||||
\(710\) | − | 96.4215i | − | 3.61863i | ||||||
\(711\) | 22.3307 | + | 17.1350i | 0.837467 | + | 0.642611i | ||||
\(712\) | 0.275426 | − | 1.02791i | 0.0103220 | − | 0.0385224i | ||||
\(713\) | −2.43133 | + | 4.21119i | −0.0910542 | + | 0.157710i | ||||
\(714\) | 25.1077 | − | 31.3663i | 0.939632 | − | 1.17385i | ||||
\(715\) | 83.7205 | 3.13097 | ||||||||
\(716\) | 2.16506 | − | 0.580126i | 0.0809121 | − | 0.0216803i | ||||
\(717\) | −0.510926 | + | 3.88087i | −0.0190809 | + | 0.144934i | ||||
\(718\) | 33.2239 | + | 19.1818i | 1.23990 | + | 0.715859i | ||||
\(719\) | −3.91338 | + | 5.10002i | −0.145945 | + | 0.190199i | −0.860605 | − | 0.509273i | \(-0.829914\pi\) |
0.714661 | + | 0.699471i | \(0.246581\pi\) | |||||||
\(720\) | −92.7129 | − | 38.4030i | −3.45521 | − | 1.43119i | ||||
\(721\) | −1.40122 | + | 0.184474i | −0.0521842 | + | 0.00687018i | ||||
\(722\) | −5.20276 | − | 19.4170i | −0.193627 | − | 0.722624i | ||||
\(723\) | −51.9636 | + | 51.9636i | −1.93255 | + | 1.93255i | ||||
\(724\) | 5.95227 | + | 7.75715i | 0.221214 | + | 0.288292i | ||||
\(725\) | −9.73886 | − | 73.9740i | −0.361692 | − | 2.74732i | ||||
\(726\) | −0.950462 | + | 1.23867i | −0.0352750 | + | 0.0459712i | ||||
\(727\) | − | 50.0506i | − | 1.85627i | −0.372240 | − | 0.928136i | \(-0.621410\pi\) | ||
0.372240 | − | 0.928136i | \(-0.378590\pi\) | |||||||
\(728\) | 20.9034 | + | 16.0397i | 0.774731 | + | 0.594472i | ||||
\(729\) | 29.5576 | + | 29.5576i | 1.09473 | + | 1.09473i | ||||
\(730\) | 38.5734 | 1.42767 | ||||||||
\(731\) | −24.7634 | − | 10.8523i | −0.915908 | − | 0.401387i | ||||
\(732\) | −3.80736 | −0.140724 | ||||||||
\(733\) | −16.4620 | − | 16.4620i | −0.608036 | − | 0.608036i | 0.334396 | − | 0.942433i | \(-0.391468\pi\) |
−0.942433 | + | 0.334396i | \(0.891468\pi\) | |||||||
\(734\) | −36.0950 | − | 27.6967i | −1.33229 | − | 1.02230i | ||||
\(735\) | − | 31.5824i | − | 1.16493i | ||||||
\(736\) | −2.15953 | + | 2.81435i | −0.0796012 | + | 0.103738i | ||||
\(737\) | −3.80228 | − | 28.8812i | −0.140059 | − | 1.06385i | ||||
\(738\) | 1.99910 | + | 2.60528i | 0.0735880 | + | 0.0959018i | ||||
\(739\) | −13.5592 | + | 13.5592i | −0.498785 | + | 0.498785i | −0.911059 | − | 0.412275i | \(-0.864734\pi\) |
0.412275 | + | 0.911059i | \(0.364734\pi\) | |||||||
\(740\) | −0.235368 | − | 0.878405i | −0.00865229 | − | 0.0322908i | ||||
\(741\) | −47.2779 | + | 6.22426i | −1.73680 | + | 0.228654i | ||||
\(742\) | 30.0356 | + | 12.4412i | 1.10264 | + | 0.456729i | ||||
\(743\) | 10.3190 | − | 13.4479i | 0.378566 | − | 0.493356i | −0.564746 | − | 0.825265i | \(-0.691026\pi\) |
0.943312 | + | 0.331908i | \(0.107692\pi\) | |||||||
\(744\) | −28.8960 | − | 16.6831i | −1.05938 | − | 0.611632i | ||||
\(745\) | −6.86917 | + | 52.1765i | −0.251667 | + | 1.91160i | ||||
\(746\) | 21.9067 | − | 5.86988i | 0.802060 | − | 0.214911i | ||||
\(747\) | −11.0738 | −0.405170 | ||||||||
\(748\) | 3.01775 | − | 10.4033i | 0.110340 | − | 0.380383i | ||||
\(749\) | 3.41175 | − | 5.90932i | 0.124662 | − | 0.215922i | ||||
\(750\) | −26.2484 | + | 97.9604i | −0.958456 | + | 3.57701i | ||||
\(751\) | −0.779338 | − | 0.598007i | −0.0284385 | − | 0.0218216i | 0.594444 | − | 0.804137i | \(-0.297372\pi\) |
−0.622883 | + | 0.782315i | \(0.714039\pi\) | |||||||
\(752\) | − | 8.20918i | − | 0.299358i | ||||||
\(753\) | −1.15836 | − | 2.79652i | −0.0422129 | − | 0.101911i | ||||
\(754\) | 9.87060 | + | 74.9747i | 0.359466 | + | 2.73042i | ||||
\(755\) | 89.4256 | − | 11.7731i | 3.25453 | − | 0.428467i | ||||
\(756\) | 2.55074 | + | 9.51951i | 0.0927697 | + | 0.346221i | ||||
\(757\) | 0.812026 | + | 3.03052i | 0.0295136 | + | 0.110146i | 0.979111 | − | 0.203325i | \(-0.0651748\pi\) |
−0.949598 | + | 0.313471i | \(0.898508\pi\) | |||||||
\(758\) | −8.77511 | + | 21.1850i | −0.318726 | + | 0.769473i | ||||
\(759\) | −6.45722 | + | 4.95480i | −0.234382 | + | 0.179848i | ||||
\(760\) | 20.8634 | + | 2.74672i | 0.756797 | + | 0.0996342i | ||||
\(761\) | −11.2255 | − | 6.48107i | −0.406926 | − | 0.234939i | 0.282542 | − | 0.959255i | \(-0.408822\pi\) |
−0.689468 | + | 0.724316i | \(0.742156\pi\) | |||||||
\(762\) | 53.9522 | + | 41.3990i | 1.95448 | + | 1.49973i | ||||
\(763\) | −17.3658 | − | 17.3658i | −0.628683 | − | 0.628683i | ||||
\(764\) | −8.51658 | − | 14.7512i | −0.308119 | − | 0.533678i | ||||
\(765\) | 80.2487 | + | 23.2782i | 2.90140 | + | 0.841624i | ||||
\(766\) | 21.1562 | 0.764406 | ||||||||
\(767\) | 57.5870 | − | 15.4304i | 2.07934 | − | 0.557159i | ||||
\(768\) | −36.8316 | − | 28.2619i | −1.32904 | − | 1.01981i | ||||
\(769\) | −27.3282 | + | 15.7779i | −0.985478 | + | 0.568966i | −0.903920 | − | 0.427702i | \(-0.859323\pi\) |
−0.0815588 | + | 0.996669i | \(0.525990\pi\) | |||||||
\(770\) | 17.2534 | + | 41.6535i | 0.621770 | + | 1.50109i | ||||
\(771\) | −7.72269 | − | 58.6596i | −0.278126 | − | 2.11258i | ||||
\(772\) | 3.34720 | − | 8.08086i | 0.120468 | − | 0.290836i | ||||
\(773\) | 0.744310 | − | 0.744310i | 0.0267710 | − | 0.0267710i | −0.693595 | − | 0.720366i | \(-0.743974\pi\) |
0.720366 | + | 0.693595i | \(0.243974\pi\) | |||||||
\(774\) | 48.8627 | − | 28.2237i | 1.75634 | − | 1.01448i | ||||
\(775\) | −22.9084 | + | 55.3059i | −0.822895 | + | 1.98665i | ||||
\(776\) | 34.3557 | + | 14.2306i | 1.23330 | + | 0.510849i | ||||
\(777\) | 1.05538 | − | 1.37540i | 0.0378615 | − | 0.0493421i | ||||
\(778\) | 48.7106i | 1.74636i | ||||||||
\(779\) | −0.797860 | − | 0.612220i | −0.0285863 | − | 0.0219351i | ||||
\(780\) | 14.3560 | − | 53.5773i | 0.514027 | − | 1.91838i | ||||
\(781\) | 24.7791 | − | 42.9186i | 0.886665 | − | 1.53575i | ||||
\(782\) | 3.01296 | − | 4.97967i | 0.107743 | − | 0.178073i | ||||
\(783\) | 22.0938 | − | 38.2676i | 0.789568 | − | 1.36757i | ||||
\(784\) | 3.60817 | − | 13.4659i | 0.128863 | − | 0.480924i | ||||
\(785\) | −64.7034 | + | 26.8010i | −2.30936 | + | 0.956570i | ||||
\(786\) | 31.1502 | − | 17.9846i | 1.11109 | − | 0.641488i | ||||
\(787\) | −3.98750 | − | 0.524964i | −0.142139 | − | 0.0187129i | 0.0591209 | − | 0.998251i | \(-0.481170\pi\) |
−0.201260 | + | 0.979538i | \(0.564504\pi\) | |||||||
\(788\) | 3.87315 | − | 2.97197i | 0.137975 | − | 0.105872i | ||||
\(789\) | −30.3417 | − | 39.5421i | −1.08019 | − | 1.40773i | ||||
\(790\) | 25.2556 | − | 25.2556i | 0.898554 | − | 0.898554i | ||||
\(791\) | −0.662411 | − | 2.47215i | −0.0235526 | − | 0.0878995i | ||||
\(792\) | −21.4998 | − | 28.0190i | −0.763961 | − | 0.995613i | ||||
\(793\) | 1.41169 | + | 10.7229i | 0.0501307 | + | 0.380780i | ||||
\(794\) | −1.85158 | + | 2.41302i | −0.0657100 | + | 0.0856349i | ||||
\(795\) | 106.916i | 3.79192i | ||||||||
\(796\) | 1.50985 | − | 0.625402i | 0.0535154 | − | 0.0221668i | ||||
\(797\) | 4.41042 | − | 16.4599i | 0.156225 | − | 0.583040i | −0.842772 | − | 0.538270i | \(-0.819078\pi\) |
0.998997 | − | 0.0447697i | \(-0.0142554\pi\) | |||||||
\(798\) | −12.8400 | − | 22.2395i | −0.454530 | − | 0.787269i | ||||
\(799\) | 0.752894 | + | 6.79369i | 0.0266355 | + | 0.240343i | ||||
\(800\) | −21.8355 | + | 37.8202i | −0.772001 | + | 1.33714i | ||||
\(801\) | −1.90971 | − | 1.90971i | −0.0674764 | − | 0.0674764i | ||||
\(802\) | −7.10365 | + | 53.9575i | −0.250838 | + | 1.90531i | ||||
\(803\) | 17.1696 | + | 9.91287i | 0.605902 | + | 0.349818i | ||||
\(804\) | −19.1347 | − | 2.51913i | −0.674828 | − | 0.0888428i | ||||
\(805\) | 0.887649 | + | 6.74236i | 0.0312855 | + | 0.237637i | ||||
\(806\) | 23.2183 | − | 56.0540i | 0.817831 | − | 1.97442i | ||||
\(807\) | 18.9043 | + | 5.06538i | 0.665461 | + | 0.178310i | ||||
\(808\) | 4.43972 | + | 16.5693i | 0.156189 | + | 0.582905i | ||||
\(809\) | 6.70062 | − | 16.1767i | 0.235581 | − | 0.568743i | −0.761235 | − | 0.648476i | \(-0.775407\pi\) |
0.996816 | + | 0.0797327i | \(0.0254067\pi\) | |||||||
\(810\) | −11.1668 | + | 8.56858i | −0.392361 | + | 0.301069i | ||||
\(811\) | −10.5035 | + | 13.6884i | −0.368828 | + | 0.480666i | −0.940489 | − | 0.339824i | \(-0.889633\pi\) |
0.571661 | + | 0.820490i | \(0.306299\pi\) | |||||||
\(812\) | −9.90064 | + | 5.71614i | −0.347444 | + | 0.200597i | ||||
\(813\) | 35.3431 | − | 14.6396i | 1.23954 | − | 0.513433i | ||||
\(814\) | 0.430929 | − | 1.60825i | 0.0151040 | − | 0.0563691i | ||||
\(815\) | −36.3824 | −1.27442 | ||||||||
\(816\) | 49.9013 | + | 30.1929i | 1.74690 | + | 1.05696i | ||||
\(817\) | −12.2171 | + | 12.2219i | −0.427422 | + | 0.427590i | ||||
\(818\) | −35.3606 | − | 35.3606i | −1.23636 | − | 1.23636i | ||||
\(819\) | 61.7788 | − | 25.5896i | 2.15872 | − | 0.894173i | ||||
\(820\) | 1.01307 | − | 0.584895i | 0.0353778 | − | 0.0204254i | ||||
\(821\) | −9.58136 | − | 23.1315i | −0.334392 | − | 0.807293i | −0.998233 | − | 0.0594198i | \(-0.981075\pi\) |
0.663841 | − | 0.747874i | \(-0.268925\pi\) | |||||||
\(822\) | 0.762458 | + | 5.79144i | 0.0265938 | + | 0.202000i | ||||
\(823\) | 7.97327 | − | 1.04970i | 0.277931 | − | 0.0365903i | 0.00972761 | − | 0.999953i | \(-0.496904\pi\) |
0.268203 | + | 0.963362i | \(0.413570\pi\) | |||||||
\(824\) | −0.363599 | − | 1.35697i | −0.0126666 | − | 0.0472722i | ||||
\(825\) | −70.8509 | + | 70.8509i | −2.46671 | + | 2.46671i | ||||
\(826\) | 19.5448 | + | 25.4713i | 0.680051 | + | 0.886260i | ||||
\(827\) | −0.561925 | − | 4.26824i | −0.0195400 | − | 0.148421i | 0.978894 | − | 0.204371i | \(-0.0655148\pi\) |
−0.998434 | + | 0.0559494i | \(0.982181\pi\) | |||||||
\(828\) | 1.30497 | + | 3.15047i | 0.0453508 | + | 0.109486i | ||||
\(829\) | 0.556741 | − | 0.321435i | 0.0193364 | − | 0.0111639i | −0.490301 | − | 0.871553i | \(-0.663113\pi\) |
0.509637 | + | 0.860389i | \(0.329780\pi\) | |||||||
\(830\) | −1.83414 | + | 13.9316i | −0.0636638 | + | 0.483575i | ||||
\(831\) | −19.9264 | + | 5.33926i | −0.691239 | + | 0.185217i | ||||
\(832\) | −9.23554 | + | 15.9964i | −0.320185 | + | 0.554576i | ||||
\(833\) | −1.75102 | + | 11.4749i | −0.0606691 | + | 0.397581i | ||||
\(834\) | −37.8524 | + | 65.5623i | −1.31072 | + | 2.27024i | ||||
\(835\) | −49.9439 | + | 13.3824i | −1.72838 | + | 0.463118i | ||||
\(836\) | −5.49277 | − | 4.21475i | −0.189971 | − | 0.145770i | ||||
\(837\) | −30.7027 | + | 17.7262i | −1.06124 | + | 0.612708i | ||||
\(838\) | 1.68512 | + | 4.06823i | 0.0582114 | + | 0.140535i | ||||
\(839\) | −36.4772 | − | 15.1093i | −1.25933 | − | 0.521632i | −0.349627 | − | 0.936889i | \(-0.613692\pi\) |
−0.909704 | + | 0.415257i | \(0.863692\pi\) | |||||||
\(840\) | −46.2641 | + | 6.09078i | −1.59626 | + | 0.210152i | ||||
\(841\) | 21.4997 | + | 5.76083i | 0.741369 | + | 0.198649i | ||||
\(842\) | 1.82899 | + | 6.82588i | 0.0630311 | + | 0.235235i | ||||
\(843\) | −46.3919 | − | 60.4591i | −1.59782 | − | 2.08232i | ||||
\(844\) | −10.3120 | − | 4.27135i | −0.354952 | − | 0.147026i | ||||
\(845\) | −105.601 | − | 13.9027i | −3.63280 | − | 0.478267i | ||||
\(846\) | −12.3545 | − | 7.13287i | −0.424756 | − | 0.245233i | ||||
\(847\) | −0.0875168 | + | 0.664756i | −0.00300711 | + | 0.0228413i | ||||
\(848\) | −12.2147 | + | 45.5861i | −0.419456 | + | 1.56543i | ||||
\(849\) | −48.5909 | −1.66763 | ||||||||
\(850\) | 28.7726 | − | 65.6200i | 0.986891 | − | 2.25075i | ||||
\(851\) | 0.125570 | − | 0.217494i | 0.00430450 | − | 0.00745560i | ||||
\(852\) | −23.2170 | − | 23.2170i | −0.795401 | − | 0.795401i | ||||
\(853\) | −3.76639 | + | 28.6085i | −0.128959 | + | 0.979538i | 0.797547 | + | 0.603257i | \(0.206131\pi\) |
−0.926506 | + | 0.376281i | \(0.877203\pi\) | |||||||
\(854\) | −5.04402 | + | 2.91217i | −0.172603 | + | 0.0996524i | ||||
\(855\) | 32.5116 | − | 42.3699i | 1.11187 | − | 1.44902i | ||||
\(856\) | 6.26628 | + | 2.59558i | 0.214177 | + | 0.0887150i | ||||
\(857\) | −27.3244 | + | 3.59733i | −0.933385 | + | 0.122883i | −0.581854 | − | 0.813293i | \(-0.697672\pi\) |
−0.351532 | + | 0.936176i | \(0.614339\pi\) | |||||||
\(858\) | 71.8093 | − | 71.8093i | 2.45153 | − | 2.45153i | ||||
\(859\) | 15.4638 | − | 15.4638i | 0.527617 | − | 0.527617i | −0.392244 | − | 0.919861i | \(-0.628301\pi\) |
0.919861 | + | 0.392244i | \(0.128301\pi\) | |||||||
\(860\) | −7.69592 | − | 18.5693i | −0.262429 | − | 0.633208i | ||||
\(861\) | 2.06031 | + | 0.853410i | 0.0702153 | + | 0.0290841i | ||||
\(862\) | −16.1998 | − | 39.1097i | −0.551767 | − | 1.33208i | ||||
\(863\) | 5.76969 | − | 3.33113i | 0.196403 | − | 0.113393i | −0.398574 | − | 0.917136i | \(-0.630495\pi\) |
0.594976 | + | 0.803743i | \(0.297161\pi\) | |||||||
\(864\) | −23.8945 | + | 9.89743i | −0.812908 | + | 0.336718i | ||||
\(865\) | −24.3679 | + | 90.9422i | −0.828533 | + | 3.09213i | ||||
\(866\) | −22.0284 | − | 38.1544i | −0.748557 | − | 1.29654i | ||||
\(867\) | −44.0661 | − | 20.4102i | −1.49656 | − | 0.693166i | ||||
\(868\) | 9.17230 | 0.311328 | ||||||||
\(869\) | 17.7320 | − | 4.75127i | 0.601517 | − | 0.161176i | ||||
\(870\) | −106.252 | − | 81.5302i | −3.60229 | − | 2.76413i | ||||
\(871\) | 54.8241i | 1.85764i | ||||||||
\(872\) | 14.8608 | − | 19.3670i | 0.503252 | − | 0.655851i | ||||
\(873\) | 74.8729 | − | 57.4520i | 2.53406 | − | 1.94445i | ||||
\(874\) | −2.26463 | − | 2.95132i | −0.0766022 | − | 0.0998299i | ||||
\(875\) | 11.2722 | + | 42.0684i | 0.381070 | + | 1.42217i | ||||
\(876\) | 9.28795 | − | 9.28795i | 0.313811 | − | 0.313811i | ||||
\(877\) | −5.23479 | − | 6.82211i | −0.176766 | − | 0.230366i | 0.696564 | − | 0.717494i | \(-0.254711\pi\) |
−0.873331 | + | 0.487128i | \(0.838044\pi\) | |||||||
\(878\) | 34.4947 | − | 26.4687i | 1.16414 | − | 0.893277i | ||||
\(879\) | −42.7689 | + | 55.7375i | −1.44256 | + | 1.87998i | ||||
\(880\) | −56.6805 | + | 32.7245i | −1.91070 | + | 1.10314i | ||||
\(881\) | −26.9524 | + | 11.1641i | −0.908050 | + | 0.376127i | −0.787310 | − | 0.616557i | \(-0.788527\pi\) |
−0.120740 | + | 0.992684i | \(0.538527\pi\) | |||||||
\(882\) | −17.1305 | − | 17.1305i | −0.576813 | − | 0.576813i | ||||
\(883\) | −21.0282 | − | 36.4219i | −0.707654 | − | 1.22569i | −0.965725 | − | 0.259567i | \(-0.916420\pi\) |
0.258071 | − | 0.966126i | \(-0.416913\pi\) | |||||||
\(884\) | −8.18648 | + | 18.6704i | −0.275341 | + | 0.627955i | ||||
\(885\) | −52.7929 | + | 91.4400i | −1.77461 | + | 3.07372i | ||||
\(886\) | −38.3141 | + | 10.2662i | −1.28719 | + | 0.344901i | ||||
\(887\) | −40.0011 | + | 16.5690i | −1.34311 | + | 0.556333i | −0.934365 | − | 0.356317i | \(-0.884032\pi\) |
−0.408742 | + | 0.912650i | \(0.634032\pi\) | |||||||
\(888\) | 1.49238 | + | 0.861626i | 0.0500810 | + | 0.0289143i | ||||
\(889\) | 28.9545 | + | 3.81194i | 0.971104 | + | 0.127848i | ||||
\(890\) | −2.71886 | + | 2.08625i | −0.0911363 | + | 0.0699313i | ||||
\(891\) | −7.17252 | + | 0.944280i | −0.240288 | + | 0.0316346i | ||||
\(892\) | 8.28483 | − | 8.28483i | 0.277397 | − | 0.277397i | ||||
\(893\) | 4.21997 | + | 1.13074i | 0.141216 | + | 0.0378387i | ||||
\(894\) | 38.8614 | + | 50.6451i | 1.29972 | + | 1.69383i | ||||
\(895\) | 10.4180 | + | 4.31529i | 0.348237 | + | 0.144244i | ||||
\(896\) | −26.8599 | − | 3.53617i | −0.897326 | − | 0.118135i | ||||
\(897\) | 13.2658 | − | 7.65903i | 0.442933 | − | 0.255727i | ||||
\(898\) | 19.6873 | + | 15.1066i | 0.656974 | + | 0.504114i | ||||
\(899\) | −29.0799 | − | 29.0799i | −0.969870 | − | 0.969870i | ||||
\(900\) | 20.9900 | + | 36.3557i | 0.699665 | + | 1.21186i | ||||
\(901\) | 5.92772 | − | 38.8460i | 0.197481 | − | 1.29415i | ||||
\(902\) | 2.14174 | 0.0713120 | ||||||||
\(903\) | 19.1535 | − | 33.1899i | 0.637390 | − | 1.10449i | ||||
\(904\) | 2.35036 | − | 0.973550i | 0.0781717 | − | 0.0323798i | ||||
\(905\) | 49.1903i | 1.63514i | ||||||||
\(906\) | 66.6047 | − | 86.8009i | 2.21279 | − | 2.88377i | ||||
\(907\) | 14.8014 | + | 6.13094i | 0.491472 | + | 0.203574i | 0.614634 | − | 0.788812i | \(-0.289304\pi\) |
−0.123162 | + | 0.992387i | \(0.539304\pi\) | |||||||
\(908\) | 4.27523 | − | 0.562845i | 0.141879 | − | 0.0186787i | ||||
\(909\) | 42.0511 | + | 11.2676i | 1.39475 | + | 0.373721i | ||||
\(910\) | −21.9612 | − | 81.9604i | −0.728008 | − | 2.71696i | ||||
\(911\) | 0.0888934 | − | 0.214608i | 0.00294517 | − | 0.00711027i | −0.922400 | − | 0.386236i | \(-0.873775\pi\) |
0.925345 | + | 0.379125i | \(0.123775\pi\) | |||||||
\(912\) | 29.5752 | − | 22.6939i | 0.979333 | − | 0.751469i | ||||
\(913\) | −4.39665 | + | 5.72983i | −0.145508 | + | 0.189630i | ||||
\(914\) | − | 14.6308i | − | 0.483943i | ||||||
\(915\) | −15.1962 | − | 11.6604i | −0.502370 | − | 0.385482i | ||||
\(916\) | −11.5534 | + | 3.09573i | −0.381736 | + | 0.102286i | ||||
\(917\) | 7.72335 | − | 13.3772i | 0.255048 | − | 0.441755i | ||||
\(918\) | 37.1765 | − | 20.4581i | 1.22701 | − | 0.675218i | ||||
\(919\) | −28.5913 | −0.943139 | −0.471570 | − | 0.881829i | \(-0.656312\pi\) | ||||
−0.471570 | + | 0.881829i | \(0.656312\pi\) | |||||||
\(920\) | −6.52942 | + | 1.74955i | −0.215269 | + | 0.0576811i | ||||
\(921\) | −6.35345 | + | 48.2593i | −0.209353 | + | 1.59020i | ||||
\(922\) | −38.4305 | + | 22.1879i | −1.26564 | + | 0.730719i | ||||
\(923\) | −56.7789 | + | 73.9957i | −1.86890 | + | 2.43560i | ||||
\(924\) | 14.1840 | + | 5.87520i | 0.466619 | + | 0.193280i | ||||
\(925\) | 1.18314 | − | 2.85636i | 0.0389016 | − | 0.0939167i | ||||
\(926\) | 65.9676 | + | 17.6760i | 2.16783 | + | 0.580868i | ||||
\(927\) | −3.44384 | − | 0.922775i | −0.113111 | − | 0.0303079i | ||||
\(928\) | −18.2638 | − | 23.8019i | −0.599540 | − | 0.781336i | ||||
\(929\) | 38.0399 | − | 29.1890i | 1.24805 | − | 0.957661i | 0.248109 | − | 0.968732i | \(-0.420191\pi\) |
0.999939 | + | 0.0110714i | \(0.00352421\pi\) | |||||||
\(930\) | 41.1203 | + | 99.2732i | 1.34839 | + | 3.25530i | ||||
\(931\) | 6.42521 | + | 3.70960i | 0.210578 | + | 0.121577i | ||||
\(932\) | 0.554883 | − | 4.21475i | 0.0181758 | − | 0.138059i | ||||
\(933\) | −25.4362 | + | 6.81562i | −0.832745 | + | 0.223133i | ||||
\(934\) | 2.10129 | + | 3.63953i | 0.0687562 | + | 0.119089i | ||||
\(935\) | 43.9059 | − | 32.2802i | 1.43588 | − | 1.05568i | ||||
\(936\) | 33.2339 | + | 57.5628i | 1.08628 | + | 1.88150i | ||||
\(937\) | 34.0428 | − | 9.12173i | 1.11213 | − | 0.297994i | 0.344434 | − | 0.938810i | \(-0.388071\pi\) |
0.767694 | + | 0.640817i | \(0.221404\pi\) | |||||||
\(938\) | −27.2766 | + | 11.2984i | −0.890614 | + | 0.368904i | ||||
\(939\) | −60.4093 | − | 34.8773i | −1.97138 | − | 1.13818i | ||||
\(940\) | −3.09357 | + | 4.03162i | −0.100901 | + | 0.131497i | ||||
\(941\) | −4.91148 | − | 37.3064i | −0.160110 | − | 1.21615i | −0.863129 | − | 0.504983i | \(-0.831499\pi\) |
0.703019 | − | 0.711171i | \(-0.251835\pi\) | |||||||
\(942\) | −32.5099 | + | 78.4859i | −1.05923 | + | 2.55721i | ||||
\(943\) | 0.312045 | + | 0.0836123i | 0.0101616 | + | 0.00272279i | ||||
\(944\) | −32.9562 | + | 32.9562i | −1.07263 | + | 1.07263i | ||||
\(945\) | −18.9738 | + | 45.8068i | −0.617218 | + | 1.49010i | ||||
\(946\) | 4.79652 | − | 36.4883i | 0.155948 | − | 1.18634i | ||||
\(947\) | 6.71923 | + | 16.2217i | 0.218346 | + | 0.527133i | 0.994659 | − | 0.103214i | \(-0.0329126\pi\) |
−0.776313 | + | 0.630347i | \(0.782913\pi\) | |||||||
\(948\) | − | 12.1624i | − | 0.395017i | ||||||
\(949\) | −29.6020 | − | 22.7144i | −0.960921 | − | 0.737341i | ||||
\(950\) | −32.3829 | − | 32.3829i | −1.05064 | − | 1.05064i | ||||
\(951\) | 30.7820 | + | 53.3160i | 0.998175 | + | 1.72889i | ||||
\(952\) | 17.1469 | + | 0.352034i | 0.555735 | + | 0.0114095i | ||||
\(953\) | 5.82585 | − | 10.0907i | 0.188718 | − | 0.326869i | −0.756105 | − | 0.654450i | \(-0.772900\pi\) |
0.944823 | + | 0.327581i | \(0.106234\pi\) | |||||||
\(954\) | 57.9919 | + | 57.9919i | 1.87756 | + | 1.87756i | ||||
\(955\) | 11.1850 | − | 84.9588i | 0.361939 | − | 2.74920i | ||||
\(956\) | 0.926297 | − | 0.534798i | 0.0299586 | − | 0.0172966i | ||||
\(957\) | −26.3422 | − | 63.5957i | −0.851523 | − | 2.05576i | ||||
\(958\) | 2.07583 | + | 15.7675i | 0.0670672 | + | 0.509426i | ||||
\(959\) | 1.52711 | + | 1.99017i | 0.0493131 | + | 0.0642660i | ||||
\(960\) | −8.46669 | − | 31.5981i | −0.273261 | − | 1.01982i | ||||
\(961\) | 0.516457 | + | 1.92744i | 0.0166599 | + | 0.0621756i | ||||
\(962\) | −1.19915 | + | 2.89501i | −0.0386622 | + | 0.0933387i | ||||
\(963\) | 13.6563 | − | 10.4789i | 0.440070 | − | 0.337677i | ||||
\(964\) | 19.9087 | + | 2.62103i | 0.641215 | + | 0.0844176i | ||||
\(965\) | 38.1081 | − | 22.0017i | 1.22674 | − | 0.708260i | ||||
\(966\) | 6.54447 | + | 5.02174i | 0.210565 | + | 0.161572i | ||||
\(967\) | −24.0865 | − | 24.0865i | −0.774570 | − | 0.774570i | 0.204332 | − | 0.978902i | \(-0.434498\pi\) |
−0.978902 | + | 0.204332i | \(0.934498\pi\) | |||||||
\(968\) | −0.666471 | −0.0214212 | ||||||||
\(969\) | −22.3943 | + | 21.4933i | −0.719408 | + | 0.690463i | ||||
\(970\) | −59.8776 | − | 103.711i | −1.92255 | − | 3.32996i | ||||
\(971\) | 47.9581 | − | 12.8503i | 1.53905 | − | 0.412387i | 0.613090 | − | 0.790013i | \(-0.289926\pi\) |
0.925958 | + | 0.377627i | \(0.123260\pi\) | |||||||
\(972\) | 1.26089 | − | 9.57737i | 0.0404429 | − | 0.307194i | ||||
\(973\) | 32.5110i | 1.04225i | ||||||||
\(974\) | −50.0492 | − | 6.58911i | −1.60368 | − | 0.211129i | ||||
\(975\) | 149.607 | − | 114.797i | 4.79125 | − | 3.67646i | ||||
\(976\) | −5.14708 | − | 6.70781i | −0.164754 | − | 0.214712i | ||||
\(977\) | −6.79181 | − | 1.81986i | −0.217289 | − | 0.0582225i | 0.148532 | − | 0.988908i | \(-0.452545\pi\) |
−0.365821 | + | 0.930685i | \(0.619212\pi\) | |||||||
\(978\) | −31.2062 | + | 31.2062i | −0.997863 | + | 0.997863i | ||||
\(979\) | −1.74634 | + | 0.229910i | −0.0558134 | + | 0.00734797i | ||||
\(980\) | −6.84653 | + | 5.25353i | −0.218704 | + | 0.167818i | ||||
\(981\) | −23.7088 | − | 57.2381i | −0.756964 | − | 1.82747i | ||||
\(982\) | 31.5201 | + | 18.1981i | 1.00585 | + | 0.580725i | ||||
\(983\) | −19.4490 | − | 14.9237i | −0.620326 | − | 0.475993i | 0.250148 | − | 0.968208i | \(-0.419521\pi\) |
−0.870474 | + | 0.492215i | \(0.836187\pi\) | |||||||
\(984\) | −0.573723 | + | 2.14116i | −0.0182896 | + | 0.0682577i | ||||
\(985\) | 24.5608 | 0.782572 | ||||||||
\(986\) | 34.0846 | + | 35.5135i | 1.08547 | + | 1.13098i | ||||
\(987\) | −9.68777 | −0.308365 | ||||||||
\(988\) | 9.21371 | + | 9.21371i | 0.293127 | + | 0.293127i | ||||
\(989\) | 2.12332 | − | 5.12900i | 0.0675178 | − | 0.163093i | ||||
\(990\) | 113.736i | 3.61476i | ||||||||
\(991\) | 4.97515 | + | 12.0111i | 0.158041 | + | 0.381544i | 0.982989 | − | 0.183664i | \(-0.0587959\pi\) |
−0.824948 | + | 0.565208i | \(0.808796\pi\) | |||||||
\(992\) | 3.14187 | + | 23.8649i | 0.0997545 | + | 0.757711i | ||||
\(993\) | 20.5456 | − | 49.6015i | 0.651995 | − | 1.57406i | ||||
\(994\) | −48.5163 | − | 12.9999i | −1.53884 | − | 0.412332i | ||||
\(995\) | 7.94159 | + | 2.12794i | 0.251765 | + | 0.0674603i | ||||
\(996\) | 2.91292 | + | 3.79619i | 0.0922993 | + | 0.120287i | ||||
\(997\) | 2.72562 | + | 1.12899i | 0.0863213 | + | 0.0357555i | 0.425426 | − | 0.904993i | \(-0.360124\pi\) |
−0.339105 | + | 0.940749i | \(0.610124\pi\) | |||||||
\(998\) | 38.7901 | + | 5.10681i | 1.22788 | + | 0.161653i | ||||
\(999\) | 1.58569 | − | 0.915500i | 0.0501691 | − | 0.0289651i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 731.2.v.a.36.15 | ✓ | 512 | |
17.9 | even | 8 | inner | 731.2.v.a.638.15 | yes | 512 | |
43.6 | even | 3 | inner | 731.2.v.a.393.15 | yes | 512 | |
731.264 | even | 24 | inner | 731.2.v.a.264.15 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.v.a.36.15 | ✓ | 512 | 1.1 | even | 1 | trivial | |
731.2.v.a.264.15 | yes | 512 | 731.264 | even | 24 | inner | |
731.2.v.a.393.15 | yes | 512 | 43.6 | even | 3 | inner | |
731.2.v.a.638.15 | yes | 512 | 17.9 | even | 8 | inner |