Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 155.79 | ||
Character | \(\chi\) | \(=\) | 648.155 |
Dual form | 648.2.bb.b.347.79 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{43}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.940884 | + | 1.05581i | 0.665305 | + | 0.746571i | ||||
\(3\) | 1.70993 | − | 0.275948i | 0.987227 | − | 0.159318i | ||||
\(4\) | −0.229475 | + | 1.98679i | −0.114737 | + | 0.993396i | ||||
\(5\) | −2.15207 | + | 1.41544i | −0.962437 | + | 0.633005i | −0.930425 | − | 0.366483i | \(-0.880562\pi\) |
−0.0320118 | + | 0.999487i | \(0.510191\pi\) | |||||||
\(6\) | 1.90019 | + | 1.54573i | 0.775750 | + | 0.631040i | ||||
\(7\) | 1.15580 | + | 1.09044i | 0.436852 | + | 0.412149i | 0.872995 | − | 0.487728i | \(-0.162174\pi\) |
−0.436143 | + | 0.899877i | \(0.643656\pi\) | |||||||
\(8\) | −2.31359 | + | 1.62706i | −0.817976 | + | 0.575252i | ||||
\(9\) | 2.84771 | − | 0.943701i | 0.949235 | − | 0.314567i | ||||
\(10\) | −3.51929 | − | 0.940418i | −1.11290 | − | 0.297386i | ||||
\(11\) | 0.0977803 | + | 0.194697i | 0.0294819 | + | 0.0587033i | 0.907891 | − | 0.419205i | \(-0.137691\pi\) |
−0.878410 | + | 0.477909i | \(0.841395\pi\) | |||||||
\(12\) | 0.155866 | + | 3.46059i | 0.0449945 | + | 0.998987i | ||||
\(13\) | −2.10183 | + | 0.906643i | −0.582944 | + | 0.251457i | −0.667067 | − | 0.744998i | \(-0.732450\pi\) |
0.0841229 | + | 0.996455i | \(0.473191\pi\) | |||||||
\(14\) | −0.0638263 | + | 2.24629i | −0.0170583 | + | 0.600346i | ||||
\(15\) | −3.28930 | + | 3.01416i | −0.849294 | + | 0.778253i | ||||
\(16\) | −3.89468 | − | 0.911836i | −0.973671 | − | 0.227959i | ||||
\(17\) | 3.39492 | + | 4.04591i | 0.823389 | + | 0.981277i | 0.999995 | − | 0.00300473i | \(-0.000956436\pi\) |
−0.176606 | + | 0.984282i | \(0.556512\pi\) | |||||||
\(18\) | 3.67573 | + | 2.11873i | 0.866378 | + | 0.499389i | ||||
\(19\) | −2.51809 | − | 2.11292i | −0.577688 | − | 0.484738i | 0.306499 | − | 0.951871i | \(-0.400842\pi\) |
−0.884187 | + | 0.467133i | \(0.845287\pi\) | |||||||
\(20\) | −2.31834 | − | 4.60053i | −0.518397 | − | 1.02871i | ||||
\(21\) | 2.27724 | + | 1.54564i | 0.496936 | + | 0.337286i | ||||
\(22\) | −0.113563 | + | 0.286425i | −0.0242117 | + | 0.0610659i | ||||
\(23\) | 2.30738 | + | 2.44568i | 0.481123 | + | 0.509960i | 0.921779 | − | 0.387716i | \(-0.126736\pi\) |
−0.440656 | + | 0.897676i | \(0.645254\pi\) | |||||||
\(24\) | −3.50708 | + | 3.42058i | −0.715880 | + | 0.698223i | ||||
\(25\) | 0.647549 | − | 1.50119i | 0.129510 | − | 0.300237i | ||||
\(26\) | −2.93483 | − | 1.36609i | −0.575567 | − | 0.267913i | ||||
\(27\) | 4.60896 | − | 2.39948i | 0.886995 | − | 0.461780i | ||||
\(28\) | −2.43171 | + | 2.04611i | −0.459550 | + | 0.386679i | ||||
\(29\) | 5.78954 | − | 0.676700i | 1.07509 | − | 0.125660i | 0.439924 | − | 0.898035i | \(-0.355005\pi\) |
0.635167 | + | 0.772375i | \(0.280931\pi\) | |||||||
\(30\) | −6.27724 | − | 0.636906i | −1.14606 | − | 0.116283i | ||||
\(31\) | −0.779542 | − | 3.28915i | −0.140010 | − | 0.590748i | −0.997135 | − | 0.0756403i | \(-0.975900\pi\) |
0.857125 | − | 0.515108i | \(-0.172248\pi\) | |||||||
\(32\) | −2.70172 | − | 4.96998i | −0.477601 | − | 0.878577i | ||||
\(33\) | 0.220923 | + | 0.305935i | 0.0384578 | + | 0.0532564i | ||||
\(34\) | −1.07749 | + | 7.39112i | −0.184788 | + | 1.26757i | ||||
\(35\) | −4.03083 | − | 0.710744i | −0.681335 | − | 0.120138i | ||||
\(36\) | 1.22146 | + | 5.87435i | 0.203577 | + | 0.979059i | ||||
\(37\) | −6.62351 | + | 1.16790i | −1.08890 | + | 0.192002i | −0.689147 | − | 0.724621i | \(-0.742015\pi\) |
−0.399751 | + | 0.916624i | \(0.630904\pi\) | |||||||
\(38\) | −0.138377 | − | 4.64664i | −0.0224477 | − | 0.753784i | ||||
\(39\) | −3.34380 | + | 2.13029i | −0.535436 | + | 0.341119i | ||||
\(40\) | 2.67600 | − | 6.77629i | 0.423113 | − | 1.07143i | ||||
\(41\) | 3.98601 | + | 2.96748i | 0.622510 | + | 0.463442i | 0.861622 | − | 0.507550i | \(-0.169449\pi\) |
−0.239112 | + | 0.970992i | \(0.576856\pi\) | |||||||
\(42\) | 0.510720 | + | 3.85861i | 0.0788058 | + | 0.595396i | ||||
\(43\) | 0.594653 | − | 10.2098i | 0.0906837 | − | 1.55698i | −0.579617 | − | 0.814889i | \(-0.696798\pi\) |
0.670300 | − | 0.742090i | \(-0.266165\pi\) | |||||||
\(44\) | −0.409260 | + | 0.149591i | −0.0616982 | + | 0.0225517i | ||||
\(45\) | −4.79272 | + | 6.06167i | −0.714456 | + | 0.903621i | ||||
\(46\) | −0.411200 | + | 4.73726i | −0.0606281 | + | 0.698472i | ||||
\(47\) | 0.899980 | + | 0.213299i | 0.131276 | + | 0.0311129i | 0.295728 | − | 0.955272i | \(-0.404438\pi\) |
−0.164453 | + | 0.986385i | \(0.552586\pi\) | |||||||
\(48\) | −6.91125 | − | 0.484446i | −0.997552 | − | 0.0699237i | ||||
\(49\) | −0.260201 | − | 4.46748i | −0.0371716 | − | 0.638212i | ||||
\(50\) | 2.19424 | − | 0.728753i | 0.310312 | − | 0.103061i | ||||
\(51\) | 6.92153 | + | 5.98139i | 0.969208 | + | 0.837562i | ||||
\(52\) | −1.31899 | − | 4.38396i | −0.182911 | − | 0.607945i | ||||
\(53\) | −0.396240 | − | 0.686308i | −0.0544278 | − | 0.0942716i | 0.837528 | − | 0.546395i | \(-0.184000\pi\) |
−0.891956 | + | 0.452123i | \(0.850667\pi\) | |||||||
\(54\) | 6.86989 | + | 2.60856i | 0.934874 | + | 0.354980i | ||||
\(55\) | −0.486012 | − | 0.280599i | −0.0655339 | − | 0.0378360i | ||||
\(56\) | −4.44827 | − | 0.642276i | −0.594424 | − | 0.0858278i | ||||
\(57\) | −4.88880 | − | 2.91809i | −0.647537 | − | 0.386510i | ||||
\(58\) | 6.16176 | + | 5.47597i | 0.809078 | + | 0.719030i | ||||
\(59\) | −1.32968 | + | 2.64760i | −0.173109 | + | 0.344688i | −0.963411 | − | 0.268030i | \(-0.913628\pi\) |
0.790302 | + | 0.612718i | \(0.209924\pi\) | |||||||
\(60\) | −5.23370 | − | 7.22683i | −0.675668 | − | 0.932980i | ||||
\(61\) | 12.8818 | − | 3.85656i | 1.64935 | − | 0.493783i | 0.678726 | − | 0.734391i | \(-0.262532\pi\) |
0.970622 | + | 0.240609i | \(0.0773471\pi\) | |||||||
\(62\) | 2.73926 | − | 3.91776i | 0.347886 | − | 0.497556i | ||||
\(63\) | 4.32044 | + | 2.01453i | 0.544324 | + | 0.253807i | ||||
\(64\) | 2.70536 | − | 7.52868i | 0.338170 | − | 0.941085i | ||||
\(65\) | 3.24000 | − | 4.92618i | 0.401873 | − | 0.611018i | ||||
\(66\) | −0.115146 | + | 0.521103i | −0.0141735 | + | 0.0641433i | ||||
\(67\) | 12.6295 | + | 1.47618i | 1.54294 | + | 0.180344i | 0.844591 | − | 0.535412i | \(-0.179844\pi\) |
0.698350 | + | 0.715756i | \(0.253918\pi\) | |||||||
\(68\) | −8.81742 | + | 5.81657i | −1.06927 | + | 0.705362i | ||||
\(69\) | 4.62034 | + | 3.54522i | 0.556223 | + | 0.426795i | ||||
\(70\) | −3.04213 | − | 4.92453i | −0.363604 | − | 0.588593i | ||||
\(71\) | 5.56270 | + | 2.02466i | 0.660171 | + | 0.240283i | 0.650310 | − | 0.759669i | \(-0.274639\pi\) |
0.00986103 | + | 0.999951i | \(0.496861\pi\) | |||||||
\(72\) | −5.05295 | + | 6.81672i | −0.595496 | + | 0.803358i | ||||
\(73\) | −5.00512 | + | 1.82171i | −0.585805 | + | 0.213216i | −0.617883 | − | 0.786270i | \(-0.712010\pi\) |
0.0320784 | + | 0.999485i | \(0.489787\pi\) | |||||||
\(74\) | −7.46504 | − | 5.89432i | −0.867794 | − | 0.685200i | ||||
\(75\) | 0.693013 | − | 2.74561i | 0.0800222 | − | 0.317036i | ||||
\(76\) | 4.77578 | − | 4.51805i | 0.547819 | − | 0.518256i | ||||
\(77\) | −0.0992910 | + | 0.331655i | −0.0113153 | + | 0.0377956i | ||||
\(78\) | −5.39531 | − | 1.52606i | −0.610898 | − | 0.172793i | ||||
\(79\) | 8.95405 | − | 6.66604i | 1.00741 | − | 0.749988i | 0.0389704 | − | 0.999240i | \(-0.487592\pi\) |
0.968439 | + | 0.249252i | \(0.0801848\pi\) | |||||||
\(80\) | 9.67229 | − | 3.55036i | 1.08140 | − | 0.396942i | ||||
\(81\) | 7.21886 | − | 5.37477i | 0.802095 | − | 0.597196i | ||||
\(82\) | 0.617281 | + | 7.00053i | 0.0681672 | + | 0.773079i | ||||
\(83\) | −7.14372 | + | 5.31830i | −0.784125 | + | 0.583759i | −0.913028 | − | 0.407898i | \(-0.866262\pi\) |
0.128903 | + | 0.991657i | \(0.458855\pi\) | |||||||
\(84\) | −3.59343 | + | 4.16973i | −0.392076 | + | 0.454954i | ||||
\(85\) | −13.0329 | − | 3.90178i | −1.41361 | − | 0.423208i | ||||
\(86\) | 11.3391 | − | 8.97839i | 1.22273 | − | 0.968165i | ||||
\(87\) | 9.71296 | − | 2.75472i | 1.04134 | − | 0.295337i | ||||
\(88\) | −0.543006 | − | 0.291353i | −0.0578846 | − | 0.0310583i | ||||
\(89\) | 1.19475 | + | 3.28255i | 0.126643 | + | 0.347950i | 0.986769 | − | 0.162132i | \(-0.0518372\pi\) |
−0.860126 | + | 0.510082i | \(0.829615\pi\) | |||||||
\(90\) | −10.9094 | + | 0.643125i | −1.14995 | + | 0.0677914i | ||||
\(91\) | −3.41795 | − | 1.24403i | −0.358298 | − | 0.130410i | ||||
\(92\) | −5.38855 | + | 4.02307i | −0.561795 | + | 0.419434i | ||||
\(93\) | −2.24059 | − | 5.40909i | −0.232339 | − | 0.560897i | ||||
\(94\) | 0.621573 | + | 1.15090i | 0.0641104 | + | 0.118706i | ||||
\(95\) | 8.40983 | + | 0.982968i | 0.862830 | + | 0.100850i | ||||
\(96\) | −5.99120 | − | 7.75278i | −0.611474 | − | 0.791265i | ||||
\(97\) | −4.49468 | − | 2.95619i | −0.456365 | − | 0.300156i | 0.300435 | − | 0.953802i | \(-0.402868\pi\) |
−0.756800 | + | 0.653646i | \(0.773238\pi\) | |||||||
\(98\) | 4.47200 | − | 4.47810i | 0.451740 | − | 0.452357i | ||||
\(99\) | 0.462185 | + | 0.462163i | 0.0464513 | + | 0.0464492i | ||||
\(100\) | 2.83395 | + | 1.63103i | 0.283395 | + | 0.163103i | ||||
\(101\) | −4.14713 | − | 13.8524i | −0.412655 | − | 1.37836i | −0.871739 | − | 0.489971i | \(-0.837007\pi\) |
0.459084 | − | 0.888393i | \(-0.348178\pi\) | |||||||
\(102\) | 0.197135 | + | 12.9356i | 0.0195193 | + | 1.28082i | ||||
\(103\) | 1.25110 | − | 2.49114i | 0.123274 | − | 0.245459i | −0.823528 | − | 0.567276i | \(-0.807997\pi\) |
0.946802 | + | 0.321817i | \(0.104294\pi\) | |||||||
\(104\) | 3.38761 | − | 5.51740i | 0.332183 | − | 0.541026i | ||||
\(105\) | −7.08856 | − | 0.103023i | −0.691773 | − | 0.0100540i | ||||
\(106\) | 0.351796 | − | 1.06409i | 0.0341694 | − | 0.103354i | ||||
\(107\) | 0.988357 | + | 0.570628i | 0.0955480 | + | 0.0551647i | 0.547013 | − | 0.837124i | \(-0.315765\pi\) |
−0.451465 | + | 0.892289i | \(0.649098\pi\) | |||||||
\(108\) | 3.70962 | + | 9.70766i | 0.356959 | + | 0.934120i | ||||
\(109\) | −8.59824 | + | 4.96420i | −0.823562 | + | 0.475484i | −0.851643 | − | 0.524122i | \(-0.824394\pi\) |
0.0280812 | + | 0.999606i | \(0.491060\pi\) | |||||||
\(110\) | −0.161021 | − | 0.777148i | −0.0153528 | − | 0.0740982i | ||||
\(111\) | −11.0034 | + | 3.82477i | −1.04440 | + | 0.363031i | ||||
\(112\) | −3.50718 | − | 5.30084i | −0.331397 | − | 0.500882i | ||||
\(113\) | −16.8689 | + | 0.982503i | −1.58689 | + | 0.0924261i | −0.828734 | − | 0.559642i | \(-0.810939\pi\) |
−0.758160 | + | 0.652068i | \(0.773902\pi\) | |||||||
\(114\) | −1.51884 | − | 7.90723i | −0.142253 | − | 0.740580i | ||||
\(115\) | −8.42738 | − | 1.99733i | −0.785857 | − | 0.186252i | ||||
\(116\) | 0.0159102 | + | 11.6579i | 0.00147723 | + | 1.08241i | ||||
\(117\) | −5.12980 | + | 4.56535i | −0.474251 | + | 0.422067i | ||||
\(118\) | −4.04644 | + | 1.08720i | −0.372505 | + | 0.100085i | ||||
\(119\) | −0.487977 | + | 8.37824i | −0.0447328 | + | 0.768032i | ||||
\(120\) | 2.70587 | − | 12.3254i | 0.247011 | − | 1.12515i | ||||
\(121\) | 6.54040 | − | 8.78528i | 0.594582 | − | 0.798662i | ||||
\(122\) | 16.1921 | + | 9.97219i | 1.46596 | + | 0.902840i | ||||
\(123\) | 7.63466 | + | 3.97424i | 0.688394 | + | 0.358345i | ||||
\(124\) | 6.71374 | − | 0.794013i | 0.602911 | − | 0.0713044i | ||||
\(125\) | −1.50517 | − | 8.53625i | −0.134627 | − | 0.763505i | ||||
\(126\) | 1.93807 | + | 6.45701i | 0.172657 | + | 0.575236i | ||||
\(127\) | −0.189439 | − | 0.0334032i | −0.0168100 | − | 0.00296406i | 0.165237 | − | 0.986254i | \(-0.447161\pi\) |
−0.182047 | + | 0.983290i | \(0.558272\pi\) | |||||||
\(128\) | 10.4943 | − | 4.22727i | 0.927573 | − | 0.373641i | ||||
\(129\) | −1.80056 | − | 17.6221i | −0.158530 | − | 1.55154i | ||||
\(130\) | 8.24959 | − | 1.21414i | 0.723536 | − | 0.106487i | ||||
\(131\) | 1.28857 | + | 5.43689i | 0.112583 | + | 0.475023i | 0.999904 | + | 0.0138712i | \(0.00441549\pi\) |
−0.887321 | + | 0.461152i | \(0.847436\pi\) | |||||||
\(132\) | −0.658525 | + | 0.368724i | −0.0573173 | + | 0.0320933i | ||||
\(133\) | −0.606385 | − | 5.18795i | −0.0525802 | − | 0.449853i | ||||
\(134\) | 10.3243 | + | 14.7233i | 0.891888 | + | 1.27190i | ||||
\(135\) | −6.52250 | + | 11.6876i | −0.561367 | + | 1.00591i | ||||
\(136\) | −14.4374 | − | 3.83682i | −1.23799 | − | 0.329005i | ||||
\(137\) | 18.6143 | + | 8.02942i | 1.59033 | + | 0.686000i | 0.993229 | − | 0.116170i | \(-0.0370616\pi\) |
0.597097 | + | 0.802169i | \(0.296321\pi\) | |||||||
\(138\) | 0.604115 | + | 8.21385i | 0.0514257 | + | 0.699209i | ||||
\(139\) | 7.47365 | + | 7.92160i | 0.633906 | + | 0.671902i | 0.962096 | − | 0.272710i | \(-0.0879200\pi\) |
−0.328190 | + | 0.944612i | \(0.606439\pi\) | |||||||
\(140\) | 2.33707 | − | 7.84533i | 0.197519 | − | 0.663051i | ||||
\(141\) | 1.59776 | + | 0.116379i | 0.134556 | + | 0.00980086i | ||||
\(142\) | 3.09620 | + | 7.77813i | 0.259827 | + | 0.652726i | ||||
\(143\) | −0.382038 | − | 0.320568i | −0.0319476 | − | 0.0268073i | ||||
\(144\) | −11.9514 | + | 1.07877i | −0.995951 | + | 0.0898979i | ||||
\(145\) | −11.5017 | + | 9.65106i | −0.955163 | + | 0.801477i | ||||
\(146\) | −6.63262 | − | 3.57044i | −0.548920 | − | 0.295492i | ||||
\(147\) | −1.67772 | − | 7.56727i | −0.138376 | − | 0.624138i | ||||
\(148\) | −0.800454 | − | 13.4275i | −0.0657969 | − | 1.10374i | ||||
\(149\) | −6.88011 | − | 15.9499i | −0.563640 | − | 1.30667i | −0.927016 | − | 0.375023i | \(-0.877635\pi\) |
0.363375 | − | 0.931643i | \(-0.381624\pi\) | |||||||
\(150\) | 3.55089 | − | 1.85161i | 0.289929 | − | 0.151183i | ||||
\(151\) | 1.97181 | + | 3.92620i | 0.160464 | + | 0.319509i | 0.959469 | − | 0.281815i | \(-0.0909364\pi\) |
−0.799005 | + | 0.601324i | \(0.794640\pi\) | |||||||
\(152\) | 9.26366 | + | 0.791359i | 0.751382 | + | 0.0641877i | ||||
\(153\) | 13.4859 | + | 8.31777i | 1.09027 | + | 0.672452i | ||||
\(154\) | −0.443586 | + | 0.207216i | −0.0357452 | + | 0.0166980i | ||||
\(155\) | 6.33323 | + | 5.97509i | 0.508697 | + | 0.479931i | ||||
\(156\) | −3.46512 | − | 7.13228i | −0.277432 | − | 0.571039i | ||||
\(157\) | −11.5512 | − | 17.5628i | −0.921887 | − | 1.40166i | −0.915780 | − | 0.401679i | \(-0.868427\pi\) |
−0.00610628 | − | 0.999981i | \(-0.501944\pi\) | |||||||
\(158\) | 15.4628 | + | 3.18181i | 1.23015 | + | 0.253131i | ||||
\(159\) | −0.866927 | − | 1.06420i | −0.0687518 | − | 0.0843962i | ||||
\(160\) | 12.8490 | + | 6.87164i | 1.01580 | + | 0.543251i | ||||
\(161\) | 5.34280i | 0.421072i | ||||||||
\(162\) | 12.4668 | + | 2.56472i | 0.979488 | + | 0.201503i | ||||
\(163\) | −18.5008 | −1.44909 | −0.724547 | − | 0.689226i | \(-0.757951\pi\) | ||||
−0.724547 | + | 0.689226i | \(0.757951\pi\) | |||||||
\(164\) | −6.81044 | + | 7.23842i | −0.531806 | + | 0.565225i | ||||
\(165\) | −0.908476 | − | 0.345691i | −0.0707248 | − | 0.0269120i | ||||
\(166\) | −12.3365 | − | 2.53851i | −0.957501 | − | 0.197027i | ||||
\(167\) | 0.211604 | − | 0.139174i | 0.0163744 | − | 0.0107696i | −0.541295 | − | 0.840833i | \(-0.682066\pi\) |
0.557670 | + | 0.830063i | \(0.311696\pi\) | |||||||
\(168\) | −7.78345 | + | 0.129243i | −0.600506 | + | 0.00997128i | ||||
\(169\) | −5.32544 | + | 5.64463i | −0.409649 | + | 0.434203i | ||||
\(170\) | −8.14287 | − | 17.4314i | −0.624529 | − | 1.33692i | ||||
\(171\) | −9.16474 | − | 3.64067i | −0.700845 | − | 0.278409i | ||||
\(172\) | 20.1483 | + | 3.52434i | 1.53629 | + | 0.268728i | ||||
\(173\) | −11.6661 | + | 5.85894i | −0.886957 | + | 0.445447i | −0.833113 | − | 0.553103i | \(-0.813444\pi\) |
−0.0538442 | + | 0.998549i | \(0.517147\pi\) | |||||||
\(174\) | 12.0472 | + | 7.66319i | 0.913299 | + | 0.580945i | ||||
\(175\) | 2.38540 | − | 1.02896i | 0.180319 | − | 0.0777821i | ||||
\(176\) | −0.203292 | − | 0.847441i | −0.0153237 | − | 0.0638783i | ||||
\(177\) | −1.54305 | + | 4.89413i | −0.115983 | + | 0.367865i | ||||
\(178\) | −2.34163 | + | 4.34993i | −0.175513 | + | 0.326041i | ||||
\(179\) | 11.9608 | + | 14.2544i | 0.893994 | + | 1.06542i | 0.997491 | + | 0.0707913i | \(0.0225524\pi\) |
−0.103497 | + | 0.994630i | \(0.533003\pi\) | |||||||
\(180\) | −10.9435 | − | 10.9131i | −0.815679 | − | 0.813417i | ||||
\(181\) | −12.9954 | + | 15.4873i | −0.965939 | + | 1.15116i | 0.0225316 | + | 0.999746i | \(0.492827\pi\) |
−0.988470 | + | 0.151415i | \(0.951617\pi\) | |||||||
\(182\) | −1.90243 | − | 4.77920i | −0.141018 | − | 0.354258i | ||||
\(183\) | 20.9628 | − | 10.1492i | 1.54961 | − | 0.750247i | ||||
\(184\) | −9.31760 | − | 1.90405i | −0.686902 | − | 0.140368i | ||||
\(185\) | 12.6012 | − | 11.8886i | 0.926458 | − | 0.874068i | ||||
\(186\) | 3.60284 | − | 7.45497i | 0.264173 | − | 0.546625i | ||||
\(187\) | −0.455768 | + | 1.05659i | −0.0333291 | + | 0.0772655i | ||||
\(188\) | −0.630303 | + | 1.73913i | −0.0459696 | + | 0.126839i | ||||
\(189\) | 7.94354 | + | 2.25249i | 0.577808 | + | 0.163844i | ||||
\(190\) | 6.87484 | + | 9.80405i | 0.498753 | + | 0.711260i | ||||
\(191\) | −1.26485 | + | 0.147839i | −0.0915212 | + | 0.0106973i | −0.161730 | − | 0.986835i | \(-0.551707\pi\) |
0.0702091 | + | 0.997532i | \(0.477633\pi\) | |||||||
\(192\) | 2.54845 | − | 13.6200i | 0.183918 | − | 0.982942i | ||||
\(193\) | −7.36361 | + | 1.74521i | −0.530044 | + | 0.125623i | −0.486919 | − | 0.873447i | \(-0.661879\pi\) |
−0.0431249 | + | 0.999070i | \(0.513731\pi\) | |||||||
\(194\) | −1.10778 | − | 7.52696i | −0.0795343 | − | 0.540405i | ||||
\(195\) | 4.18080 | − | 9.31749i | 0.299393 | − | 0.667239i | ||||
\(196\) | 8.93566 | + | 0.508208i | 0.638262 | + | 0.0363006i | ||||
\(197\) | 4.33476 | − | 24.5836i | 0.308839 | − | 1.75151i | −0.296024 | − | 0.955180i | \(-0.595661\pi\) |
0.604863 | − | 0.796330i | \(-0.293228\pi\) | |||||||
\(198\) | −0.0530947 | + | 0.922822i | −0.00377328 | + | 0.0655821i | ||||
\(199\) | 13.0666 | − | 2.30399i | 0.926265 | − | 0.163326i | 0.309885 | − | 0.950774i | \(-0.399709\pi\) |
0.616380 | + | 0.787449i | \(0.288598\pi\) | |||||||
\(200\) | 0.944359 | + | 4.52672i | 0.0667763 | + | 0.320088i | ||||
\(201\) | 22.0029 | − | 0.960926i | 1.55197 | − | 0.0677785i | ||||
\(202\) | 10.7235 | − | 17.4121i | 0.754505 | − | 1.22511i | ||||
\(203\) | 7.42947 | + | 5.53104i | 0.521447 | + | 0.388203i | ||||
\(204\) | −13.4721 | + | 12.3791i | −0.943235 | + | 0.866707i | ||||
\(205\) | −12.7785 | − | 0.744262i | −0.892488 | − | 0.0519815i | ||||
\(206\) | 3.80731 | − | 1.02295i | 0.265268 | − | 0.0712723i | ||||
\(207\) | 8.87874 | + | 4.78711i | 0.617115 | + | 0.332727i | ||||
\(208\) | 9.01269 | − | 1.61456i | 0.624917 | − | 0.111949i | ||||
\(209\) | 0.165160 | − | 0.696865i | 0.0114244 | − | 0.0482032i | ||||
\(210\) | −6.56074 | − | 7.58111i | −0.452734 | − | 0.523147i | ||||
\(211\) | −0.642265 | − | 11.0273i | −0.0442153 | − | 0.759148i | −0.945440 | − | 0.325796i | \(-0.894368\pi\) |
0.901225 | − | 0.433352i | \(-0.142669\pi\) | |||||||
\(212\) | 1.45448 | − | 0.629756i | 0.0998939 | − | 0.0432518i | ||||
\(213\) | 10.0705 | + | 1.92700i | 0.690021 | + | 0.132036i | ||||
\(214\) | 0.327454 | + | 1.58041i | 0.0223843 | + | 0.108035i | ||||
\(215\) | 13.1716 | + | 22.8139i | 0.898297 | + | 1.55590i | ||||
\(216\) | −6.75913 | + | 13.0504i | −0.459901 | + | 0.887970i | ||||
\(217\) | 2.68563 | − | 4.65165i | 0.182313 | − | 0.315775i | ||||
\(218\) | −13.3312 | − | 4.40739i | −0.902903 | − | 0.298506i | ||||
\(219\) | −8.05570 | + | 4.49615i | −0.544353 | + | 0.303822i | ||||
\(220\) | 0.669020 | − | 0.901215i | 0.0451053 | − | 0.0607599i | ||||
\(221\) | −10.8037 | − | 5.42585i | −0.726739 | − | 0.364982i | ||||
\(222\) | −14.3912 | − | 8.01889i | −0.965874 | − | 0.538193i | ||||
\(223\) | 17.1454 | − | 5.13298i | 1.14814 | − | 0.343730i | 0.344464 | − | 0.938800i | \(-0.388061\pi\) |
0.803674 | + | 0.595069i | \(0.202875\pi\) | |||||||
\(224\) | 2.29683 | − | 8.69039i | 0.153464 | − | 0.580651i | ||||
\(225\) | 0.427357 | − | 4.88603i | 0.0284905 | − | 0.325735i | ||||
\(226\) | −16.9090 | − | 16.8860i | −1.12477 | − | 1.12324i | ||||
\(227\) | −3.81234 | + | 5.79638i | −0.253034 | + | 0.384719i | −0.939559 | − | 0.342387i | \(-0.888765\pi\) |
0.686525 | + | 0.727106i | \(0.259135\pi\) | |||||||
\(228\) | 6.91949 | − | 9.04340i | 0.458254 | − | 0.598914i | ||||
\(229\) | −1.89523 | + | 16.2147i | −0.125240 | + | 1.07150i | 0.773739 | + | 0.633505i | \(0.218384\pi\) |
−0.898979 | + | 0.437992i | \(0.855690\pi\) | |||||||
\(230\) | −5.82039 | − | 10.7770i | −0.383785 | − | 0.710612i | ||||
\(231\) | −0.0782610 | + | 0.594505i | −0.00514919 | + | 0.0391156i | ||||
\(232\) | −12.2936 | + | 10.9855i | −0.807112 | + | 0.721235i | ||||
\(233\) | −1.37974 | + | 3.79080i | −0.0903896 | + | 0.248343i | −0.976647 | − | 0.214849i | \(-0.931074\pi\) |
0.886258 | + | 0.463193i | \(0.153296\pi\) | |||||||
\(234\) | −9.64670 | − | 1.12064i | −0.630625 | − | 0.0732583i | ||||
\(235\) | −2.23874 | + | 0.814833i | −0.146039 | + | 0.0531538i | ||||
\(236\) | −4.95511 | − | 3.24934i | −0.322550 | − | 0.211514i | ||||
\(237\) | 13.4713 | − | 13.8693i | 0.875055 | − | 0.900908i | ||||
\(238\) | −9.30497 | + | 7.36774i | −0.603152 | + | 0.477580i | ||||
\(239\) | 1.67801 | − | 5.60495i | 0.108541 | − | 0.362554i | −0.886411 | − | 0.462899i | \(-0.846809\pi\) |
0.994953 | + | 0.100345i | \(0.0319946\pi\) | |||||||
\(240\) | 15.5592 | − | 8.73990i | 1.00434 | − | 0.564158i | ||||
\(241\) | −5.52403 | − | 7.42006i | −0.355834 | − | 0.477968i | 0.587777 | − | 0.809023i | \(-0.300003\pi\) |
−0.943612 | + | 0.331054i | \(0.892596\pi\) | |||||||
\(242\) | 15.4294 | − | 1.36050i | 0.991836 | − | 0.0874565i | ||||
\(243\) | 10.8606 | − | 11.1825i | 0.696706 | − | 0.717357i | ||||
\(244\) | 4.70614 | + | 26.4785i | 0.301280 | + | 1.69511i | ||||
\(245\) | 6.88343 | + | 9.24605i | 0.439766 | + | 0.590708i | ||||
\(246\) | 2.98728 | + | 11.8001i | 0.190462 | + | 0.752344i | ||||
\(247\) | 7.20826 | + | 2.15801i | 0.458651 | + | 0.137311i | ||||
\(248\) | 7.15518 | + | 6.34136i | 0.454354 | + | 0.402677i | ||||
\(249\) | −10.7477 | + | 11.0652i | −0.681106 | + | 0.701229i | ||||
\(250\) | 7.59648 | − | 9.62080i | 0.480443 | − | 0.608473i | ||||
\(251\) | −5.02496 | − | 13.8060i | −0.317172 | − | 0.871424i | −0.991159 | − | 0.132680i | \(-0.957642\pi\) |
0.673986 | − | 0.738744i | \(-0.264581\pi\) | |||||||
\(252\) | −4.99388 | + | 8.12153i | −0.314585 | + | 0.511608i | ||||
\(253\) | −0.250550 | + | 0.688379i | −0.0157519 | + | 0.0432780i | ||||
\(254\) | −0.142973 | − | 0.231440i | −0.00897090 | − | 0.0145219i | ||||
\(255\) | −23.3619 | − | 3.07538i | −1.46298 | − | 0.192588i | ||||
\(256\) | 14.3371 | + | 7.10263i | 0.896069 | + | 0.443914i | ||||
\(257\) | −1.34931 | + | 11.5441i | −0.0841674 | + | 0.720098i | 0.883598 | + | 0.468246i | \(0.155114\pi\) |
−0.967766 | + | 0.251853i | \(0.918960\pi\) | |||||||
\(258\) | 16.9115 | − | 18.4814i | 1.05286 | − | 1.15060i | ||||
\(259\) | −8.92901 | − | 5.87270i | −0.554822 | − | 0.364912i | ||||
\(260\) | 9.04380 | + | 7.56764i | 0.560873 | + | 0.469325i | ||||
\(261\) | 15.8483 | − | 7.39064i | 0.980986 | − | 0.457469i | ||||
\(262\) | −4.52793 | + | 6.47596i | −0.279737 | + | 0.400086i | ||||
\(263\) | −2.11194 | − | 7.05436i | −0.130228 | − | 0.434990i | 0.867860 | − | 0.496809i | \(-0.165495\pi\) |
−0.998087 | + | 0.0618188i | \(0.980310\pi\) | |||||||
\(264\) | −1.00890 | − | 0.348351i | −0.0620935 | − | 0.0214396i | ||||
\(265\) | 1.82417 | + | 0.916131i | 0.112058 | + | 0.0562775i | ||||
\(266\) | 4.90696 | − | 5.52149i | 0.300865 | − | 0.338544i | ||||
\(267\) | 2.94875 | + | 5.28324i | 0.180461 | + | 0.323329i | ||||
\(268\) | −5.83101 | + | 24.7535i | −0.356186 | + | 1.51206i | ||||
\(269\) | −5.83850 | + | 10.1126i | −0.355980 | + | 0.616575i | −0.987285 | − | 0.158959i | \(-0.949186\pi\) |
0.631305 | + | 0.775534i | \(0.282519\pi\) | |||||||
\(270\) | −18.4768 | + | 4.11011i | −1.12446 | + | 0.250134i | ||||
\(271\) | −9.87142 | + | 5.69927i | −0.599646 | + | 0.346206i | −0.768902 | − | 0.639366i | \(-0.779197\pi\) |
0.169256 | + | 0.985572i | \(0.445863\pi\) | |||||||
\(272\) | −9.53293 | − | 18.8531i | −0.578019 | − | 1.14314i | ||||
\(273\) | −6.18773 | − | 1.18403i | −0.374499 | − | 0.0716607i | ||||
\(274\) | 9.03634 | + | 27.2079i | 0.545905 | + | 1.64369i | ||||
\(275\) | 0.355594 | − | 0.0207110i | 0.0214431 | − | 0.00124892i | ||||
\(276\) | −8.10387 | + | 8.36611i | −0.487796 | + | 0.503581i | ||||
\(277\) | −5.21780 | + | 22.0156i | −0.313507 | + | 1.32279i | 0.556949 | + | 0.830546i | \(0.311972\pi\) |
−0.870457 | + | 0.492245i | \(0.836176\pi\) | |||||||
\(278\) | −1.33188 | + | 15.3441i | −0.0798810 | + | 0.920276i | ||||
\(279\) | −5.32388 | − | 8.63087i | −0.318732 | − | 0.516717i | ||||
\(280\) | 10.4821 | − | 4.91403i | 0.626425 | − | 0.293670i | ||||
\(281\) | −16.1848 | − | 0.942655i | −0.965502 | − | 0.0562341i | −0.431856 | − | 0.901942i | \(-0.642141\pi\) |
−0.533645 | + | 0.845708i | \(0.679178\pi\) | |||||||
\(282\) | 1.38043 | + | 1.79643i | 0.0822036 | + | 0.106976i | ||||
\(283\) | −18.8082 | + | 25.2638i | −1.11803 | + | 1.50178i | −0.276935 | + | 0.960889i | \(0.589319\pi\) |
−0.841095 | + | 0.540887i | \(0.818089\pi\) | |||||||
\(284\) | −5.29907 | + | 10.5873i | −0.314442 | + | 0.628242i | ||||
\(285\) | 14.6514 | − | 0.639868i | 0.867876 | − | 0.0379025i | ||||
\(286\) | −0.0209942 | − | 0.704978i | −0.00124142 | − | 0.0416862i | ||||
\(287\) | 1.37118 | + | 7.77634i | 0.0809381 | + | 0.459023i | ||||
\(288\) | −12.3839 | − | 11.6034i | −0.729727 | − | 0.683739i | ||||
\(289\) | −1.89187 | + | 10.7293i | −0.111287 | + | 0.631137i | ||||
\(290\) | −21.0115 | − | 3.06308i | −1.23384 | − | 0.179870i | ||||
\(291\) | −8.50132 | − | 3.81458i | −0.498356 | − | 0.223615i | ||||
\(292\) | −2.47082 | − | 10.3622i | −0.144594 | − | 0.606400i | ||||
\(293\) | 0.103639 | − | 0.0245628i | 0.00605463 | − | 0.00143497i | −0.227587 | − | 0.973758i | \(-0.573084\pi\) |
0.233642 | + | 0.972323i | \(0.424936\pi\) | |||||||
\(294\) | 6.41107 | − | 8.89127i | 0.373901 | − | 0.518550i | ||||
\(295\) | −0.885964 | − | 7.57991i | −0.0515828 | − | 0.441319i | ||||
\(296\) | 13.4238 | − | 13.4789i | 0.780243 | − | 0.783444i | ||||
\(297\) | 0.917836 | + | 0.662727i | 0.0532582 | + | 0.0384553i | ||||
\(298\) | 10.3667 | − | 22.2711i | 0.600526 | − | 1.29013i | ||||
\(299\) | −7.06710 | − | 3.04845i | −0.408701 | − | 0.176296i | ||||
\(300\) | 5.29593 | + | 2.00692i | 0.305760 | + | 0.115870i | ||||
\(301\) | 11.8205 | − | 11.1521i | 0.681323 | − | 0.642795i | ||||
\(302\) | −2.29008 | + | 5.77595i | −0.131779 | + | 0.332369i | ||||
\(303\) | −10.9138 | − | 22.5422i | −0.626983 | − | 1.29502i | ||||
\(304\) | 7.88050 | + | 10.5253i | 0.451978 | + | 0.603665i | ||||
\(305\) | −22.2639 | + | 26.5331i | −1.27483 | + | 1.51928i | ||||
\(306\) | 3.90664 | + | 22.0646i | 0.223328 | + | 1.26135i | ||||
\(307\) | −16.6069 | + | 13.9348i | −0.947805 | + | 0.795303i | −0.978927 | − | 0.204213i | \(-0.934537\pi\) |
0.0311216 | + | 0.999516i | \(0.490092\pi\) | |||||||
\(308\) | −0.636144 | − | 0.273377i | −0.0362477 | − | 0.0155771i | ||||
\(309\) | 1.45186 | − | 4.60490i | 0.0825935 | − | 0.261964i | ||||
\(310\) | −0.349737 | + | 12.3086i | −0.0198637 | + | 0.699079i | ||||
\(311\) | 2.08968 | + | 4.84443i | 0.118495 | + | 0.274702i | 0.967133 | − | 0.254272i | \(-0.0818360\pi\) |
−0.848638 | + | 0.528975i | \(0.822577\pi\) | |||||||
\(312\) | 4.27006 | − | 10.3692i | 0.241744 | − | 0.587038i | ||||
\(313\) | 1.26570 | − | 0.635661i | 0.0715419 | − | 0.0359297i | −0.412669 | − | 0.910881i | \(-0.635403\pi\) |
0.484210 | + | 0.874952i | \(0.339107\pi\) | |||||||
\(314\) | 7.67461 | − | 28.7204i | 0.433103 | − | 1.62079i | ||||
\(315\) | −12.1494 | + | 1.77991i | −0.684539 | + | 0.100287i | ||||
\(316\) | 11.1893 | + | 19.3195i | 0.629448 | + | 1.08681i | ||||
\(317\) | −12.2129 | + | 12.9450i | −0.685947 | + | 0.727061i | −0.972988 | − | 0.230857i | \(-0.925847\pi\) |
0.287041 | + | 0.957918i | \(0.407329\pi\) | |||||||
\(318\) | 0.307912 | − | 1.91660i | 0.0172668 | − | 0.107477i | ||||
\(319\) | 0.697855 | + | 1.06104i | 0.0390724 | + | 0.0594066i | ||||
\(320\) | 4.83427 | + | 20.0316i | 0.270244 | + | 1.11980i | ||||
\(321\) | 1.84748 | + | 0.702998i | 0.103116 | + | 0.0392375i | ||||
\(322\) | −5.64099 | + | 5.02695i | −0.314360 | + | 0.280141i | ||||
\(323\) | − | 17.3612i | − | 0.966000i | ||||||
\(324\) | 9.02200 | + | 15.5757i | 0.501222 | + | 0.865319i | ||||
\(325\) | 3.74234i | 0.207588i | ||||||||
\(326\) | −17.4071 | − | 19.5333i | −0.964090 | − | 1.08185i | ||||
\(327\) | −13.3325 | + | 10.8611i | −0.737290 | + | 0.600619i | ||||
\(328\) | −14.0502 | − | 0.380035i | −0.775795 | − | 0.0209839i | ||||
\(329\) | 0.807608 | + | 1.22791i | 0.0445249 | + | 0.0676968i | ||||
\(330\) | −0.489787 | − | 1.28443i | −0.0269619 | − | 0.0707058i | ||||
\(331\) | 19.9490 | − | 21.1447i | 1.09650 | − | 1.16222i | 0.110774 | − | 0.993846i | \(-0.464667\pi\) |
0.985723 | − | 0.168374i | \(-0.0538515\pi\) | |||||||
\(332\) | −8.92706 | − | 15.4135i | −0.489936 | − | 0.845925i | ||||
\(333\) | −17.7597 | + | 9.57646i | −0.973223 | + | 0.524787i | ||||
\(334\) | 0.346037 | + | 0.0924672i | 0.0189343 | + | 0.00505958i | ||||
\(335\) | −29.2691 | + | 14.6995i | −1.59914 | + | 0.803119i | ||||
\(336\) | −7.45978 | − | 8.09625i | −0.406964 | − | 0.441687i | ||||
\(337\) | −1.62041 | − | 3.75654i | −0.0882696 | − | 0.204632i | 0.868363 | − | 0.495929i | \(-0.165172\pi\) |
−0.956633 | + | 0.291297i | \(0.905913\pi\) | |||||||
\(338\) | −10.9703 | − | 0.311711i | −0.596705 | − | 0.0169548i | ||||
\(339\) | −28.5735 | + | 6.33495i | −1.55190 | + | 0.344067i | ||||
\(340\) | 10.7427 | − | 24.9982i | 0.582607 | − | 1.35572i | ||||
\(341\) | 0.564162 | − | 0.473388i | 0.0305511 | − | 0.0256354i | ||||
\(342\) | −4.77910 | − | 13.1017i | −0.258424 | − | 0.708458i | ||||
\(343\) | 11.7206 | − | 13.9680i | 0.632851 | − | 0.754202i | ||||
\(344\) | 15.2362 | + | 24.5888i | 0.821478 | + | 1.32574i | ||||
\(345\) | −14.9614 | − | 1.08977i | −0.805493 | − | 0.0586711i | ||||
\(346\) | −17.1624 | − | 6.80462i | −0.922655 | − | 0.365819i | ||||
\(347\) | 4.28166 | − | 4.03954i | 0.229852 | − | 0.216854i | −0.562696 | − | 0.826664i | \(-0.690236\pi\) |
0.792548 | + | 0.609810i | \(0.208754\pi\) | |||||||
\(348\) | 3.24418 | + | 19.9298i | 0.173906 | + | 1.06835i | ||||
\(349\) | 13.1211 | + | 5.65988i | 0.702355 | + | 0.302966i | 0.717145 | − | 0.696924i | \(-0.245449\pi\) |
−0.0147898 | + | 0.999891i | \(0.504708\pi\) | |||||||
\(350\) | 3.33077 | + | 1.55040i | 0.178037 | + | 0.0828722i | ||||
\(351\) | −7.51180 | + | 9.22198i | −0.400950 | + | 0.492233i | ||||
\(352\) | 0.703464 | − | 1.01198i | 0.0374948 | − | 0.0539388i | ||||
\(353\) | −2.12427 | − | 18.1743i | −0.113064 | − | 0.967321i | −0.924054 | − | 0.382262i | \(-0.875145\pi\) |
0.810991 | − | 0.585059i | \(-0.198929\pi\) | |||||||
\(354\) | −6.61910 | + | 2.97564i | −0.351801 | + | 0.158153i | ||||
\(355\) | −14.8371 | + | 3.51646i | −0.787473 | + | 0.186635i | ||||
\(356\) | −6.79591 | + | 1.62046i | −0.360183 | + | 0.0858842i | ||||
\(357\) | 1.47755 | + | 14.4608i | 0.0782003 | + | 0.765349i | ||||
\(358\) | −3.79616 | + | 26.0401i | −0.200633 | + | 1.37626i | ||||
\(359\) | −5.93822 | + | 33.6773i | −0.313407 | + | 1.77742i | 0.267609 | + | 0.963528i | \(0.413766\pi\) |
−0.581016 | + | 0.813892i | \(0.697345\pi\) | |||||||
\(360\) | 1.22567 | − | 21.8222i | 0.0645984 | − | 1.15013i | ||||
\(361\) | −1.42301 | − | 8.07030i | −0.0748953 | − | 0.424753i | ||||
\(362\) | −28.5788 | + | 0.851076i | −1.50207 | + | 0.0447316i | ||||
\(363\) | 8.75933 | − | 16.8270i | 0.459746 | − | 0.883189i | ||||
\(364\) | 3.25596 | − | 6.50528i | 0.170659 | − | 0.340969i | ||||
\(365\) | 8.19286 | − | 11.0049i | 0.428834 | − | 0.576024i | ||||
\(366\) | 30.4391 | + | 12.5836i | 1.59108 | + | 0.657753i | ||||
\(367\) | −17.6315 | − | 1.02692i | −0.920357 | − | 0.0536047i | −0.408580 | − | 0.912723i | \(-0.633976\pi\) |
−0.511778 | + | 0.859118i | \(0.671013\pi\) | |||||||
\(368\) | −6.75646 | − | 11.6291i | −0.352205 | − | 0.606210i | ||||
\(369\) | 14.1514 | + | 4.68889i | 0.736692 | + | 0.244094i | ||||
\(370\) | 24.4084 | + | 2.11867i | 1.26893 | + | 0.110145i | ||||
\(371\) | 0.290405 | − | 1.22531i | 0.0150771 | − | 0.0636151i | ||||
\(372\) | 11.2609 | − | 3.21034i | 0.583850 | − | 0.166449i | ||||
\(373\) | −2.07435 | + | 0.120817i | −0.107406 | + | 0.00625567i | −0.111763 | − | 0.993735i | \(-0.535650\pi\) |
0.00435781 | + | 0.999991i | \(0.498613\pi\) | |||||||
\(374\) | −1.54438 | + | 0.512923i | −0.0798582 | + | 0.0265226i | ||||
\(375\) | −4.92929 | − | 14.1810i | −0.254548 | − | 0.732305i | ||||
\(376\) | −2.42923 | + | 0.970834i | −0.125278 | + | 0.0500669i | ||||
\(377\) | −11.5551 | + | 6.67136i | −0.595119 | + | 0.343592i | ||||
\(378\) | 5.09575 | + | 10.5062i | 0.262097 | + | 0.540381i | ||||
\(379\) | 1.23993 | − | 2.14762i | 0.0636908 | − | 0.110316i | −0.832422 | − | 0.554143i | \(-0.813046\pi\) |
0.896113 | + | 0.443827i | \(0.146380\pi\) | |||||||
\(380\) | −3.88279 | + | 16.4830i | −0.199183 | + | 0.845560i | ||||
\(381\) | −0.333145 | − | 0.00484183i | −0.0170675 | − | 0.000248054i | ||||
\(382\) | −1.34617 | − | 1.19634i | −0.0688758 | − | 0.0612101i | ||||
\(383\) | −6.05529 | − | 3.04108i | −0.309411 | − | 0.155392i | 0.287317 | − | 0.957835i | \(-0.407237\pi\) |
−0.596728 | + | 0.802444i | \(0.703533\pi\) | |||||||
\(384\) | 16.7780 | − | 10.1242i | 0.856198 | − | 0.516648i | ||||
\(385\) | −0.255757 | − | 0.854286i | −0.0130346 | − | 0.0435385i | ||||
\(386\) | −8.77091 | − | 6.13255i | −0.446428 | − | 0.312138i | ||||
\(387\) | −7.94160 | − | 29.6357i | −0.403694 | − | 1.50647i | ||||
\(388\) | 6.90476 | − | 8.25161i | 0.350536 | − | 0.418912i | ||||
\(389\) | 10.3293 | + | 6.79369i | 0.523717 | + | 0.344454i | 0.783680 | − | 0.621165i | \(-0.213340\pi\) |
−0.259963 | + | 0.965618i | \(0.583711\pi\) | |||||||
\(390\) | 13.7712 | − | 4.35254i | 0.697330 | − | 0.220399i | ||||
\(391\) | −2.06163 | + | 17.6384i | −0.104261 | + | 0.892010i | ||||
\(392\) | 7.87085 | + | 9.91254i | 0.397538 | + | 0.500659i | ||||
\(393\) | 3.70365 | + | 8.94111i | 0.186824 | + | 0.451019i | ||||
\(394\) | 30.0342 | − | 18.5536i | 1.51310 | − | 0.934719i | ||||
\(395\) | −9.83438 | + | 27.0197i | −0.494821 | + | 1.35951i | ||||
\(396\) | −1.02428 | + | 0.812211i | −0.0514721 | + | 0.0408151i | ||||
\(397\) | 3.49508 | + | 9.60267i | 0.175413 | + | 0.481944i | 0.995977 | − | 0.0896113i | \(-0.0285625\pi\) |
−0.820564 | + | 0.571555i | \(0.806340\pi\) | |||||||
\(398\) | 14.7267 | + | 11.6281i | 0.738184 | + | 0.582862i | ||||
\(399\) | −2.46848 | − | 8.70370i | −0.123578 | − | 0.435730i | ||||
\(400\) | −3.89083 | + | 5.25619i | −0.194542 | + | 0.262809i | ||||
\(401\) | −33.6269 | − | 10.0672i | −1.67925 | − | 0.502733i | −0.701526 | − | 0.712644i | \(-0.747497\pi\) |
−0.977720 | + | 0.209911i | \(0.932683\pi\) | |||||||
\(402\) | 21.7167 | + | 22.3268i | 1.08313 | + | 1.11356i | ||||
\(403\) | 4.62055 | + | 6.20648i | 0.230166 | + | 0.309167i | ||||
\(404\) | 28.4735 | − | 5.06072i | 1.41661 | − | 0.251780i | ||||
\(405\) | −7.92785 | + | 21.7848i | −0.393938 | + | 1.08249i | ||||
\(406\) | 1.15054 | + | 13.0482i | 0.0571004 | + | 0.647571i | ||||
\(407\) | −0.875036 | − | 1.17538i | −0.0433739 | − | 0.0582613i | ||||
\(408\) | −25.7456 | − | 2.57673i | −1.27460 | − | 0.127567i | ||||
\(409\) | −2.52318 | + | 8.42801i | −0.124763 | + | 0.416739i | −0.997436 | − | 0.0715676i | \(-0.977200\pi\) |
0.872672 | + | 0.488306i | \(0.162385\pi\) | |||||||
\(410\) | −11.2373 | − | 14.1919i | −0.554969 | − | 0.700889i | ||||
\(411\) | 34.0448 | + | 8.59316i | 1.67931 | + | 0.423869i | ||||
\(412\) | 4.66228 | + | 3.05732i | 0.229694 | + | 0.150623i | ||||
\(413\) | −4.42390 | + | 1.61017i | −0.217686 | + | 0.0792312i | ||||
\(414\) | 3.29959 | + | 13.8784i | 0.162166 | + | 0.682085i | ||||
\(415\) | 7.84607 | − | 21.5569i | 0.385148 | − | 1.05819i | ||||
\(416\) | 10.1846 | + | 7.99658i | 0.499339 | + | 0.392065i | ||||
\(417\) | 14.9653 | + | 11.4830i | 0.732856 | + | 0.562327i | ||||
\(418\) | 0.891155 | − | 0.481292i | 0.0435878 | − | 0.0235407i | ||||
\(419\) | 3.47363 | − | 29.7188i | 0.169698 | − | 1.45186i | −0.593051 | − | 0.805165i | \(-0.702077\pi\) |
0.762749 | − | 0.646695i | \(-0.223849\pi\) | |||||||
\(420\) | 1.83133 | − | 14.0598i | 0.0893597 | − | 0.686050i | ||||
\(421\) | 2.87326 | − | 4.36859i | 0.140034 | − | 0.212912i | −0.758661 | − | 0.651486i | \(-0.774146\pi\) |
0.898695 | + | 0.438574i | \(0.144516\pi\) | |||||||
\(422\) | 11.0384 | − | 11.0535i | 0.537341 | − | 0.538075i | ||||
\(423\) | 2.76417 | − | 0.241899i | 0.134398 | − | 0.0117615i | ||||
\(424\) | 2.03340 | + | 0.943126i | 0.0987506 | + | 0.0458023i | ||||
\(425\) | 8.27204 | − | 2.47649i | 0.401253 | − | 0.120127i | ||||
\(426\) | 7.44064 | + | 12.4457i | 0.360500 | + | 0.602994i | ||||
\(427\) | 19.0942 | + | 9.58948i | 0.924034 | + | 0.464067i | ||||
\(428\) | −1.36052 | + | 1.83271i | −0.0657633 | + | 0.0885876i | ||||
\(429\) | −0.741718 | − | 0.442726i | −0.0358105 | − | 0.0213750i | ||||
\(430\) | −11.6942 | + | 35.3720i | −0.563946 | + | 1.70579i | ||||
\(431\) | −0.834144 | + | 1.44478i | −0.0401793 | + | 0.0695926i | −0.885416 | − | 0.464800i | \(-0.846126\pi\) |
0.845236 | + | 0.534393i | \(0.179460\pi\) | |||||||
\(432\) | −20.1384 | + | 5.14259i | −0.968908 | + | 0.247423i | ||||
\(433\) | −18.4943 | − | 32.0331i | −0.888779 | − | 1.53941i | −0.841320 | − | 0.540538i | \(-0.818221\pi\) |
−0.0474596 | − | 0.998873i | \(-0.515113\pi\) | |||||||
\(434\) | 7.43814 | − | 1.54114i | 0.357042 | − | 0.0739773i | ||||
\(435\) | −17.0039 | + | 19.6765i | −0.815273 | + | 0.943415i | ||||
\(436\) | −7.88975 | − | 18.2221i | −0.377850 | − | 0.872679i | ||||
\(437\) | −0.642644 | − | 11.0338i | −0.0307418 | − | 0.527817i | ||||
\(438\) | −12.3266 | − | 4.27494i | −0.588986 | − | 0.204264i | ||||
\(439\) | −2.97306 | + | 12.5443i | −0.141896 | + | 0.598707i | 0.854905 | + | 0.518785i | \(0.173615\pi\) |
−0.996801 | + | 0.0799223i | \(0.974533\pi\) | |||||||
\(440\) | 1.58098 | − | 0.141580i | 0.0753704 | − | 0.00674956i | ||||
\(441\) | −4.95694 | − | 12.4765i | −0.236045 | − | 0.594120i | ||||
\(442\) | −4.43641 | − | 16.5118i | −0.211018 | − | 0.785387i | ||||
\(443\) | 25.6963 | + | 1.49664i | 1.22087 | + | 0.0711073i | 0.656441 | − | 0.754377i | \(-0.272061\pi\) |
0.564425 | + | 0.825485i | \(0.309098\pi\) | |||||||
\(444\) | −5.07402 | − | 22.7392i | −0.240802 | − | 1.07916i | ||||
\(445\) | −7.21745 | − | 5.37320i | −0.342140 | − | 0.254714i | ||||
\(446\) | 21.5513 | + | 13.2727i | 1.02048 | + | 0.628482i | ||||
\(447\) | −16.1658 | − | 25.3746i | −0.764617 | − | 1.20018i | ||||
\(448\) | 11.3365 | − | 5.75163i | 0.535598 | − | 0.271739i | ||||
\(449\) | −1.07354 | + | 0.189293i | −0.0506632 | + | 0.00893330i | −0.198922 | − | 0.980015i | \(-0.563744\pi\) |
0.148259 | + | 0.988949i | \(0.452633\pi\) | |||||||
\(450\) | 5.56082 | − | 4.14598i | 0.262139 | − | 0.195443i | ||||
\(451\) | −0.188004 | + | 1.06622i | −0.00885277 | + | 0.0502065i | ||||
\(452\) | 1.91896 | − | 33.7405i | 0.0902603 | − | 1.58702i | ||||
\(453\) | 4.45508 | + | 6.16940i | 0.209318 | + | 0.289864i | ||||
\(454\) | −9.70685 | + | 1.42861i | −0.455565 | + | 0.0670481i | ||||
\(455\) | 9.11653 | − | 2.16066i | 0.427389 | − | 0.101293i | ||||
\(456\) | 16.0586 | − | 1.20312i | 0.752011 | − | 0.0563411i | ||||
\(457\) | −1.27041 | + | 0.148490i | −0.0594274 | + | 0.00694607i | −0.145755 | − | 0.989321i | \(-0.546561\pi\) |
0.0863272 | + | 0.996267i | \(0.472487\pi\) | |||||||
\(458\) | −18.9028 | + | 13.2551i | −0.883272 | + | 0.619372i | ||||
\(459\) | 25.3551 | + | 10.5014i | 1.18348 | + | 0.490163i | ||||
\(460\) | 5.90214 | − | 16.2851i | 0.275189 | − | 0.759297i | ||||
\(461\) | 9.78381 | − | 22.6814i | 0.455678 | − | 1.05638i | −0.523251 | − | 0.852178i | \(-0.675281\pi\) |
0.978929 | − | 0.204201i | \(-0.0654597\pi\) | |||||||
\(462\) | −0.701320 | + | 0.476731i | −0.0326283 | + | 0.0221796i | ||||
\(463\) | 28.3211 | − | 26.7196i | 1.31619 | − | 1.24176i | 0.365805 | − | 0.930691i | \(-0.380794\pi\) |
0.950387 | − | 0.311071i | \(-0.100688\pi\) | |||||||
\(464\) | −23.1655 | − | 2.64358i | −1.07543 | − | 0.122725i | ||||
\(465\) | 12.4782 | + | 8.46934i | 0.578661 | + | 0.392756i | ||||
\(466\) | −5.30054 | + | 2.10996i | −0.245543 | + | 0.0977419i | ||||
\(467\) | −25.2421 | + | 30.0824i | −1.16807 | + | 1.39205i | −0.264070 | + | 0.964503i | \(0.585065\pi\) |
−0.903995 | + | 0.427543i | \(0.859379\pi\) | |||||||
\(468\) | −7.89325 | − | 11.2395i | −0.364866 | − | 0.519545i | ||||
\(469\) | 12.9875 | + | 15.4780i | 0.599709 | + | 0.714705i | ||||
\(470\) | −2.96670 | − | 1.59702i | −0.136844 | − | 0.0736650i | ||||
\(471\) | −24.5981 | − | 26.8435i | −1.13342 | − | 1.23688i | ||||
\(472\) | −1.23148 | − | 8.28891i | −0.0566837 | − | 0.381528i | ||||
\(473\) | 2.04596 | − | 0.882540i | 0.0940733 | − | 0.0405792i | ||||
\(474\) | 27.3183 | + | 1.17374i | 1.25477 | + | 0.0539119i | ||||
\(475\) | −4.80248 | + | 2.41189i | −0.220353 | + | 0.110665i | ||||
\(476\) | −16.5338 | − | 2.89210i | −0.757827 | − | 0.132559i | ||||
\(477\) | −1.77604 | − | 1.58047i | −0.0813195 | − | 0.0723648i | ||||
\(478\) | 7.49658 | − | 3.50194i | 0.342886 | − | 0.160175i | ||||
\(479\) | −11.4101 | + | 12.0940i | −0.521342 | + | 0.552590i | −0.933526 | − | 0.358511i | \(-0.883285\pi\) |
0.412184 | + | 0.911101i | \(0.364766\pi\) | |||||||
\(480\) | 23.8671 | + | 8.20436i | 1.08938 | + | 0.374476i | ||||
\(481\) | 12.8626 | − | 8.45990i | 0.586486 | − | 0.385738i | ||||
\(482\) | 2.63671 | − | 12.8138i | 0.120099 | − | 0.583650i | ||||
\(483\) | 1.47433 | + | 9.13580i | 0.0670845 | + | 0.415693i | ||||
\(484\) | 15.9537 | + | 15.0104i | 0.725167 | + | 0.682291i | ||||
\(485\) | 13.8572 | 0.629223 | ||||||||
\(486\) | 22.0251 | + | 0.945287i | 0.999080 | + | 0.0428791i | ||||
\(487\) | − | 40.2462i | − | 1.82373i | −0.410491 | − | 0.911865i | \(-0.634643\pi\) | ||
0.410491 | − | 0.911865i | \(-0.365357\pi\) | |||||||
\(488\) | −23.5283 | + | 29.8820i | −1.06508 | + | 1.35269i | ||||
\(489\) | −31.6350 | + | 5.10525i | −1.43058 | + | 0.230867i | ||||
\(490\) | −3.28557 | + | 15.9671i | −0.148427 | + | 0.721318i | ||||
\(491\) | 2.47524 | + | 3.76342i | 0.111706 | + | 0.169841i | 0.887014 | − | 0.461743i | \(-0.152776\pi\) |
−0.775308 | + | 0.631583i | \(0.782405\pi\) | |||||||
\(492\) | −9.64795 | + | 14.2565i | −0.434963 | + | 0.642732i | ||||
\(493\) | 22.3929 | + | 21.1266i | 1.00853 | + | 0.951495i | ||||
\(494\) | 4.50369 | + | 9.64101i | 0.202630 | + | 0.433769i | ||||
\(495\) | −1.64882 | − | 0.340414i | −0.0741090 | − | 0.0153005i | ||||
\(496\) | 0.0369059 | + | 13.5210i | 0.00165712 | + | 0.607111i | ||||
\(497\) | 4.22161 | + | 8.40592i | 0.189365 | + | 0.377057i | ||||
\(498\) | −21.7951 | − | 0.936437i | −0.976661 | − | 0.0419628i | ||||
\(499\) | 13.6127 | + | 31.5578i | 0.609388 | + | 1.41272i | 0.891359 | + | 0.453297i | \(0.149752\pi\) |
−0.281972 | + | 0.959423i | \(0.590988\pi\) | |||||||
\(500\) | 17.3052 | − | 1.03161i | 0.773910 | − | 0.0461350i | ||||
\(501\) | 0.323423 | − | 0.296370i | 0.0144495 | − | 0.0132408i | ||||
\(502\) | 9.84858 | − | 18.2952i | 0.439564 | − | 0.816555i | ||||
\(503\) | −17.8569 | + | 14.9837i | −0.796201 | + | 0.668092i | −0.947272 | − | 0.320431i | \(-0.896172\pi\) |
0.151071 | + | 0.988523i | \(0.451728\pi\) | |||||||
\(504\) | −13.2735 | + | 2.36882i | −0.591247 | + | 0.105516i | ||||
\(505\) | 28.5322 | + | 23.9413i | 1.26967 | + | 1.06538i | ||||
\(506\) | −0.962537 | + | 0.383152i | −0.0427900 | + | 0.0170332i | ||||
\(507\) | −7.54849 | + | 11.1215i | −0.335240 | + | 0.493921i | ||||
\(508\) | 0.109837 | − | 0.368711i | 0.00487321 | − | 0.0163589i | ||||
\(509\) | 7.46987 | + | 7.91760i | 0.331096 | + | 0.350941i | 0.871439 | − | 0.490503i | \(-0.163187\pi\) |
−0.540343 | + | 0.841445i | \(0.681706\pi\) | |||||||
\(510\) | −18.7339 | − | 27.5594i | −0.829549 | − | 1.22035i | ||||
\(511\) | −7.77141 | − | 3.35226i | −0.343787 | − | 0.148295i | ||||
\(512\) | 5.99052 | + | 21.8200i | 0.264746 | + | 0.964318i | ||||
\(513\) | −16.6757 | − | 3.69629i | −0.736249 | − | 0.163195i | ||||
\(514\) | −13.4579 | + | 9.43700i | −0.593602 | + | 0.416248i | ||||
\(515\) | 0.833607 | + | 7.13196i | 0.0367331 | + | 0.314272i | ||||
\(516\) | 35.4246 | + | 0.466496i | 1.55948 | + | 0.0205363i | ||||
\(517\) | 0.0464717 | + | 0.196080i | 0.00204382 | + | 0.00862357i | ||||
\(518\) | −2.20070 | − | 14.9529i | −0.0966931 | − | 0.656992i | ||||
\(519\) | −18.3314 | + | 13.2376i | −0.804661 | + | 0.581066i | ||||
\(520\) | 0.519167 | + | 16.6688i | 0.0227670 | + | 0.730976i | ||||
\(521\) | 15.7785 | + | 2.78218i | 0.691270 | + | 0.121890i | 0.508237 | − | 0.861217i | \(-0.330297\pi\) |
0.183033 | + | 0.983107i | \(0.441409\pi\) | |||||||
\(522\) | 22.7145 | + | 9.77909i | 0.994188 | + | 0.428019i | ||||
\(523\) | 2.64567 | + | 15.0043i | 0.115687 | + | 0.656094i | 0.986408 | + | 0.164316i | \(0.0525417\pi\) |
−0.870721 | + | 0.491778i | \(0.836347\pi\) | |||||||
\(524\) | −11.0977 | + | 1.31248i | −0.484803 | + | 0.0573362i | ||||
\(525\) | 3.79492 | − | 2.41769i | 0.165624 | − | 0.105517i | ||||
\(526\) | 5.46098 | − | 8.86714i | 0.238110 | − | 0.386626i | ||||
\(527\) | 10.6611 | − | 14.3204i | 0.464405 | − | 0.623804i | ||||
\(528\) | −0.581464 | − | 1.39297i | −0.0253050 | − | 0.0606210i | ||||
\(529\) | 0.679982 | − | 11.6748i | 0.0295644 | − | 0.507601i | ||||
\(530\) | 0.749068 | + | 2.78795i | 0.0325374 | + | 0.121101i | ||||
\(531\) | −1.28798 | + | 8.79440i | −0.0558936 | + | 0.381645i | ||||
\(532\) | 10.4465 | − | 0.0142570i | 0.452915 | − | 0.000618119i | ||||
\(533\) | −11.0684 | − | 2.62325i | −0.479424 | − | 0.113626i | ||||
\(534\) | −2.80367 | + | 8.08424i | −0.121327 | + | 0.349839i | ||||
\(535\) | −2.93471 | + | 0.170927i | −0.126878 | + | 0.00738983i | ||||
\(536\) | −31.6213 | + | 17.1337i | −1.36583 | + | 0.740063i | ||||
\(537\) | 24.3856 | + | 21.0734i | 1.05232 | + | 0.909383i | ||||
\(538\) | −16.1703 | + | 3.35041i | −0.697152 | + | 0.144446i | ||||
\(539\) | 0.844361 | − | 0.487492i | 0.0363692 | − | 0.0209978i | ||||
\(540\) | −21.7240 | − | 15.6408i | −0.934852 | − | 0.673075i | ||||
\(541\) | 31.1544 | + | 17.9870i | 1.33943 | + | 0.773323i | 0.986723 | − | 0.162410i | \(-0.0519266\pi\) |
0.352711 | + | 0.935732i | \(0.385260\pi\) | |||||||
\(542\) | −15.3052 | − | 5.06001i | −0.657415 | − | 0.217346i | ||||
\(543\) | −17.9475 | + | 30.0682i | −0.770200 | + | 1.29035i | ||||
\(544\) | 10.9360 | − | 27.8036i | 0.468876 | − | 1.19207i | ||||
\(545\) | 11.4775 | − | 22.8536i | 0.491643 | − | 0.978942i | ||||
\(546\) | −4.57183 | − | 7.64711i | −0.195656 | − | 0.327266i | ||||
\(547\) | −6.01837 | − | 20.1028i | −0.257327 | − | 0.859532i | −0.984844 | − | 0.173443i | \(-0.944511\pi\) |
0.727517 | − | 0.686090i | \(-0.240674\pi\) | |||||||
\(548\) | −20.2243 | + | 35.1402i | −0.863939 | + | 1.50111i | ||||
\(549\) | 33.0442 | − | 23.1390i | 1.41029 | − | 0.987546i | ||||
\(550\) | 0.356439 | + | 0.355953i | 0.0151986 | + | 0.0151779i | ||||
\(551\) | −16.0084 | − | 10.5289i | −0.681980 | − | 0.448545i | ||||
\(552\) | −16.4578 | − | 0.684619i | −0.700492 | − | 0.0291393i | ||||
\(553\) | 17.6181 | + | 2.05926i | 0.749196 | + | 0.0875684i | ||||
\(554\) | −28.1537 | + | 15.2051i | −1.19614 | + | 0.646005i | ||||
\(555\) | 18.2665 | − | 23.8059i | 0.775369 | − | 1.01051i | ||||
\(556\) | −17.4536 | + | 13.0308i | −0.740197 | + | 0.552628i | ||||
\(557\) | 25.4176 | + | 9.25126i | 1.07698 | + | 0.391989i | 0.818783 | − | 0.574104i | \(-0.194649\pi\) |
0.258197 | + | 0.966092i | \(0.416872\pi\) | |||||||
\(558\) | 4.10342 | − | 13.7417i | 0.173711 | − | 0.581731i | ||||
\(559\) | 8.00677 | + | 21.9984i | 0.338650 | + | 0.930434i | ||||
\(560\) | 15.0507 | + | 6.44358i | 0.636009 | + | 0.272291i | ||||
\(561\) | −0.487767 | + | 1.93246i | −0.0205936 | + | 0.0815885i | ||||
\(562\) | −14.2327 | − | 17.9750i | −0.600371 | − | 0.758229i | ||||
\(563\) | −42.3236 | − | 12.6709i | −1.78373 | − | 0.534013i | −0.787156 | − | 0.616753i | \(-0.788448\pi\) |
−0.996571 | + | 0.0827404i | \(0.973633\pi\) | |||||||
\(564\) | −0.597866 | + | 3.14771i | −0.0251747 | + | 0.132542i | ||||
\(565\) | 34.9125 | − | 25.9914i | 1.46878 | − | 1.09347i | ||||
\(566\) | −44.3701 | + | 3.91239i | −1.86501 | + | 0.164450i | ||||
\(567\) | 14.2045 | + | 1.65959i | 0.596531 | + | 0.0696961i | ||||
\(568\) | −16.1640 | + | 4.36662i | −0.678228 | + | 0.183219i | ||||
\(569\) | 23.9351 | − | 17.8190i | 1.00341 | − | 0.747012i | 0.0357752 | − | 0.999360i | \(-0.488610\pi\) |
0.967637 | + | 0.252347i | \(0.0812026\pi\) | |||||||
\(570\) | 14.4609 | + | 14.8671i | 0.605700 | + | 0.622715i | ||||
\(571\) | 7.10523 | − | 23.7331i | 0.297345 | − | 0.993201i | −0.670554 | − | 0.741861i | \(-0.733944\pi\) |
0.967899 | − | 0.251340i | \(-0.0808713\pi\) | |||||||
\(572\) | 0.724570 | − | 0.685468i | 0.0302958 | − | 0.0286609i | ||||
\(573\) | −2.12200 | + | 0.601826i | −0.0886479 | + | 0.0251417i | ||||
\(574\) | −6.92023 | + | 8.76434i | −0.288845 | + | 0.365816i | ||||
\(575\) | 5.16557 | − | 1.88011i | 0.215419 | − | 0.0784061i | ||||
\(576\) | 0.599244 | − | 23.9925i | 0.0249685 | − | 0.999688i | ||||
\(577\) | −26.3866 | − | 9.60395i | −1.09849 | − | 0.399818i | −0.271731 | − | 0.962373i | \(-0.587596\pi\) |
−0.826760 | + | 0.562556i | \(0.809818\pi\) | |||||||
\(578\) | −13.1082 | + | 8.09760i | −0.545229 | + | 0.336816i | ||||
\(579\) | −12.1097 | + | 5.01615i | −0.503260 | + | 0.208464i | ||||
\(580\) | −16.5353 | − | 25.0661i | −0.686591 | − | 1.04081i | ||||
\(581\) | −14.0560 | − | 1.64292i | −0.583143 | − | 0.0681596i | ||||
\(582\) | −3.97128 | − | 12.5649i | −0.164615 | − | 0.520831i | ||||
\(583\) | 0.0948774 | − | 0.144254i | 0.00392942 | − | 0.00597439i | ||||
\(584\) | 8.61574 | − | 12.3583i | 0.356522 | − | 0.511391i | ||||
\(585\) | 4.57773 | − | 17.0859i | 0.189266 | − | 0.706416i | ||||
\(586\) | 0.123445 | + | 0.0863120i | 0.00509949 | + | 0.00356552i | ||||
\(587\) | 32.5466 | − | 9.74380i | 1.34334 | − | 0.402170i | 0.467168 | − | 0.884169i | \(-0.345274\pi\) |
0.876172 | + | 0.481999i | \(0.160089\pi\) | |||||||
\(588\) | 15.4196 | − | 1.59678i | 0.635893 | − | 0.0658500i | ||||
\(589\) | −4.98677 | + | 9.92947i | −0.205476 | + | 0.409137i | ||||
\(590\) | 7.16936 | − | 8.06723i | 0.295158 | − | 0.332122i | ||||
\(591\) | 0.628327 | − | 43.2324i | 0.0258459 | − | 1.77834i | ||||
\(592\) | 26.8614 | + | 1.49094i | 1.10400 | + | 0.0612774i | ||||
\(593\) | −3.43416 | − | 1.98271i | −0.141024 | − | 0.0814202i | 0.427828 | − | 0.903860i | \(-0.359279\pi\) |
−0.568852 | + | 0.822440i | \(0.692612\pi\) | |||||||
\(594\) | 0.163862 | + | 1.59261i | 0.00672336 | + | 0.0653456i | ||||
\(595\) | −10.8087 | − | 18.7213i | −0.443115 | − | 0.767498i | ||||
\(596\) | 33.2679 | − | 10.0093i | 1.36271 | − | 0.409995i | ||||
\(597\) | 21.7071 | − | 7.54535i | 0.888414 | − | 0.308811i | ||||
\(598\) | −3.43073 | − | 10.3298i | −0.140293 | − | 0.422415i | ||||
\(599\) | −1.88103 | − | 32.2960i | −0.0768567 | − | 1.31958i | −0.787626 | − | 0.616153i | \(-0.788690\pi\) |
0.710770 | − | 0.703425i | \(-0.248347\pi\) | |||||||
\(600\) | 2.86392 | + | 7.47978i | 0.116919 | + | 0.305361i | ||||
\(601\) | 0.0898906 | + | 0.0213045i | 0.00366672 | + | 0.000869028i | 0.232449 | − | 0.972609i | \(-0.425326\pi\) |
−0.228782 | + | 0.973478i | \(0.573474\pi\) | |||||||
\(602\) | 22.8962 | + | 1.98742i | 0.933180 | + | 0.0810010i | ||||
\(603\) | 37.3582 | − | 7.71477i | 1.52134 | − | 0.314170i | ||||
\(604\) | −8.25302 | + | 3.01661i | −0.335810 | + | 0.122744i | ||||
\(605\) | −1.64037 | + | 28.1641i | −0.0666907 | + | 1.14503i | ||||
\(606\) | 13.5316 | − | 32.7325i | 0.549686 | − | 1.32967i | ||||
\(607\) | 26.8887 | + | 20.0179i | 1.09138 | + | 0.812501i | 0.983364 | − | 0.181648i | \(-0.0581431\pi\) |
0.108015 | + | 0.994149i | \(0.465550\pi\) | |||||||
\(608\) | −3.69804 | + | 18.2234i | −0.149975 | + | 0.739055i | ||||
\(609\) | 14.2301 | + | 7.40753i | 0.576634 | + | 0.300168i | ||||
\(610\) | −48.9617 | + | 1.45808i | −1.98240 | + | 0.0590359i | ||||
\(611\) | −2.08499 | + | 0.367641i | −0.0843498 | + | 0.0148731i | ||||
\(612\) | −19.6203 | + | 24.8849i | −0.793105 | + | 1.00591i | ||||
\(613\) | −21.5784 | − | 3.80485i | −0.871542 | − | 0.153676i | −0.280048 | − | 0.959986i | \(-0.590350\pi\) |
−0.591494 | + | 0.806310i | \(0.701462\pi\) | |||||||
\(614\) | −30.3377 | − | 4.42268i | −1.22433 | − | 0.178485i | ||||
\(615\) | −22.0557 | + | 2.25356i | −0.889370 | + | 0.0908722i | ||||
\(616\) | −0.309904 | − | 0.928864i | −0.0124864 | − | 0.0374250i | ||||
\(617\) | −7.22543 | − | 30.4865i | −0.290885 | − | 1.22734i | −0.900575 | − | 0.434700i | \(-0.856855\pi\) |
0.609691 | − | 0.792639i | \(-0.291294\pi\) | |||||||
\(618\) | 6.22794 | − | 2.79979i | 0.250524 | − | 0.112624i | ||||
\(619\) | 34.4073 | − | 4.02164i | 1.38295 | − | 0.161643i | 0.608134 | − | 0.793834i | \(-0.291918\pi\) |
0.774813 | + | 0.632191i | \(0.217844\pi\) | |||||||
\(620\) | −13.3246 | + | 11.2117i | −0.535128 | + | 0.450272i | ||||
\(621\) | 16.5030 | + | 5.73554i | 0.662242 | + | 0.230159i | ||||
\(622\) | −3.14865 | + | 6.76435i | −0.126249 | + | 0.271226i | ||||
\(623\) | −2.19854 | + | 5.09679i | −0.0880827 | + | 0.204199i | ||||
\(624\) | 14.9655 | − | 5.24780i | 0.599100 | − | 0.210080i | ||||
\(625\) | 20.9315 | + | 22.1861i | 0.837259 | + | 0.887442i | ||||
\(626\) | 1.86202 | + | 0.738262i | 0.0744212 | + | 0.0295069i | ||||
\(627\) | 0.0901135 | − | 1.23716i | 0.00359879 | − | 0.0494076i | ||||
\(628\) | 37.5442 | − | 18.9196i | 1.49818 | − | 0.754976i | ||||
\(629\) | −27.2115 | − | 22.8332i | −1.08499 | − | 0.910418i | ||||
\(630\) | −13.3104 | − | 11.1527i | −0.530298 | − | 0.444336i | ||||
\(631\) | −23.5142 | − | 28.0231i | −0.936085 | − | 1.11558i | −0.993107 | − | 0.117210i | \(-0.962605\pi\) |
0.0570222 | − | 0.998373i | \(-0.481839\pi\) | |||||||
\(632\) | −9.86992 | + | 29.9912i | −0.392604 | + | 1.19299i | ||||
\(633\) | −4.14117 | − | 18.6786i | −0.164597 | − | 0.742407i | ||||
\(634\) | −25.1584 | − | 0.714853i | −0.999168 | − | 0.0283904i | ||||
\(635\) | 0.454967 | − | 0.196254i | 0.0180548 | − | 0.00778809i | ||||
\(636\) | 2.31327 | − | 1.47820i | 0.0917272 | − | 0.0586143i | ||||
\(637\) | 4.59731 | + | 9.15399i | 0.182152 | + | 0.362694i | ||||
\(638\) | −0.463654 | + | 1.73511i | −0.0183562 | + | 0.0686939i | ||||
\(639\) | 17.7516 | + | 0.516103i | 0.702243 | + | 0.0204167i | ||||
\(640\) | −16.6010 | + | 23.9514i | −0.656214 | + | 0.946764i | ||||
\(641\) | 24.4709 | + | 23.0871i | 0.966544 | + | 0.911887i | 0.996149 | − | 0.0876744i | \(-0.0279435\pi\) |
−0.0296052 | + | 0.999562i | \(0.509425\pi\) | |||||||
\(642\) | 0.996033 | + | 2.61203i | 0.0393103 | + | 0.103089i | ||||
\(643\) | 36.4330 | − | 23.9624i | 1.43678 | − | 0.944984i | 0.437834 | − | 0.899056i | \(-0.355746\pi\) |
0.998945 | − | 0.0459285i | \(-0.0146246\pi\) | |||||||
\(644\) | −10.6150 | − | 1.22604i | −0.418291 | − | 0.0483126i | ||||
\(645\) | 28.8180 | + | 35.3755i | 1.13471 | + | 1.39291i | ||||
\(646\) | 18.3301 | − | 16.3348i | 0.721188 | − | 0.642685i | ||||
\(647\) | −2.54488 | −0.100050 | −0.0500248 | − | 0.998748i | \(-0.515930\pi\) | ||||
−0.0500248 | + | 0.998748i | \(0.515930\pi\) | |||||||
\(648\) | −7.95639 | + | 24.1805i | −0.312556 | + | 0.949899i | ||||
\(649\) | −0.645495 | −0.0253379 | ||||||||
\(650\) | −3.95120 | + | 3.52111i | −0.154979 | + | 0.138109i | ||||
\(651\) | 3.30863 | − | 8.69509i | 0.129675 | − | 0.340787i | ||||
\(652\) | 4.24546 | − | 36.7572i | 0.166265 | − | 1.43952i | ||||
\(653\) | −19.2181 | + | 12.6399i | −0.752061 | + | 0.494638i | −0.866737 | − | 0.498765i | \(-0.833787\pi\) |
0.114677 | + | 0.993403i | \(0.463417\pi\) | |||||||
\(654\) | −24.0116 | − | 3.85760i | −0.938928 | − | 0.150844i | ||||
\(655\) | −10.4687 | − | 9.87669i | −0.409045 | − | 0.385914i | ||||
\(656\) | −12.8184 | − | 15.1920i | −0.500474 | − | 0.593147i | ||||
\(657\) | −12.5340 | + | 9.91104i | −0.488996 | + | 0.386667i | ||||
\(658\) | −0.536574 | + | 2.00800i | −0.0209178 | + | 0.0782801i | ||||
\(659\) | −12.5835 | − | 25.0558i | −0.490184 | − | 0.976036i | −0.993702 | − | 0.112052i | \(-0.964258\pi\) |
0.503518 | − | 0.863984i | \(-0.332039\pi\) | |||||||
\(660\) | 0.895287 | − | 1.72563i | 0.0348490 | − | 0.0671699i | ||||
\(661\) | −23.1766 | + | 9.99742i | −0.901466 | + | 0.388854i | −0.795809 | − | 0.605548i | \(-0.792954\pi\) |
−0.105657 | + | 0.994403i | \(0.533695\pi\) | |||||||
\(662\) | 41.0946 | + | 1.16766i | 1.59719 | + | 0.0453826i | ||||
\(663\) | −19.9709 | − | 6.29654i | −0.775605 | − | 0.244537i | ||||
\(664\) | 7.87442 | − | 23.9276i | 0.305587 | − | 0.928571i | ||||
\(665\) | 8.64823 | + | 10.3066i | 0.335364 | + | 0.399671i | ||||
\(666\) | −26.8207 | − | 9.74051i | −1.03928 | − | 0.377437i | ||||
\(667\) | 15.0137 | + | 12.5980i | 0.581332 | + | 0.487796i | ||||
\(668\) | 0.227953 | + | 0.452350i | 0.00881975 | + | 0.0175020i | ||||
\(669\) | 27.9009 | − | 13.5083i | 1.07871 | − | 0.522259i | ||||
\(670\) | −43.0587 | − | 17.0721i | −1.66350 | − | 0.659554i | ||||
\(671\) | 2.01045 | + | 2.13095i | 0.0776125 | + | 0.0822645i | ||||
\(672\) | 1.52932 | − | 15.4937i | 0.0589950 | − | 0.597684i | ||||
\(673\) | 17.7356 | − | 41.1158i | 0.683658 | − | 1.58490i | −0.122009 | − | 0.992529i | \(-0.538934\pi\) |
0.805667 | − | 0.592369i | \(-0.201807\pi\) | |||||||
\(674\) | 2.44158 | − | 5.24532i | 0.0940461 | − | 0.202042i | ||||
\(675\) | −0.617539 | − | 8.47269i | −0.0237691 | − | 0.326114i | ||||
\(676\) | −9.99266 | − | 11.8758i | −0.384333 | − | 0.456763i | ||||
\(677\) | 42.3887 | − | 4.95453i | 1.62913 | − | 0.190418i | 0.748136 | − | 0.663545i | \(-0.230949\pi\) |
0.880994 | + | 0.473127i | \(0.156875\pi\) | |||||||
\(678\) | −33.5729 | − | 24.2078i | −1.28936 | − | 0.929694i | ||||
\(679\) | −1.97139 | − | 8.31797i | −0.0756552 | − | 0.319214i | ||||
\(680\) | 36.5011 | − | 12.1781i | 1.39975 | − | 0.467010i | ||||
\(681\) | −4.91933 | + | 10.9634i | −0.188509 | + | 0.420118i | ||||
\(682\) | 1.03062 | + | 0.150245i | 0.0394645 | + | 0.00575319i | ||||
\(683\) | −23.2079 | − | 4.09218i | −0.888026 | − | 0.156583i | −0.289016 | − | 0.957324i | \(-0.593328\pi\) |
−0.599010 | + | 0.800741i | \(0.704439\pi\) | |||||||
\(684\) | 9.33632 | − | 17.3730i | 0.356983 | − | 0.664272i | ||||
\(685\) | −51.4245 | + | 9.06753i | −1.96483 | + | 0.346452i | ||||
\(686\) | 25.7753 | − | 0.767588i | 0.984105 | − | 0.0293066i | ||||
\(687\) | 1.23371 | + | 28.2489i | 0.0470689 | + | 1.07776i | ||||
\(688\) | −11.6256 | + | 39.2217i | −0.443224 | + | 1.49531i | ||||
\(689\) | 1.45507 | + | 1.08326i | 0.0554336 | + | 0.0412688i | ||||
\(690\) | −12.9263 | − | 16.8217i | −0.492097 | − | 0.640392i | ||||
\(691\) | −1.09091 | + | 18.7302i | −0.0415002 | + | 0.712532i | 0.911824 | + | 0.410582i | \(0.134674\pi\) |
−0.953324 | + | 0.301950i | \(0.902363\pi\) | |||||||
\(692\) | −8.96341 | − | 24.5226i | −0.340738 | − | 0.932209i | ||||
\(693\) | 0.0302316 | + | 1.03816i | 0.00114840 | + | 0.0394363i | ||||
\(694\) | 8.29354 | + | 0.719888i | 0.314818 | + | 0.0273266i | ||||
\(695\) | −27.2964 | − | 6.46937i | −1.03541 | − | 0.245397i | ||||
\(696\) | −17.9897 | + | 22.1768i | −0.681897 | + | 0.840611i | ||||
\(697\) | 1.52606 | + | 26.2014i | 0.0578035 | + | 0.992448i | ||||
\(698\) | 6.36964 | + | 19.1787i | 0.241095 | + | 0.725923i | ||||
\(699\) | −1.31319 | + | 6.86273i | −0.0496694 | + | 0.259572i | ||||
\(700\) | 1.49694 | + | 4.97541i | 0.0565791 | + | 0.188053i | ||||
\(701\) | −14.6125 | − | 25.3096i | −0.551906 | − | 0.955929i | −0.998137 | − | 0.0610112i | \(-0.980567\pi\) |
0.446231 | − | 0.894918i | \(-0.352766\pi\) | |||||||
\(702\) | −16.8044 | + | 0.745777i | −0.634241 | + | 0.0281475i | ||||
\(703\) | 19.1463 | + | 11.0541i | 0.722115 | + | 0.416913i | ||||
\(704\) | 1.73034 | − | 0.209432i | 0.0652146 | − | 0.00789328i | ||||
\(705\) | −3.60322 | + | 2.01108i | −0.135705 | + | 0.0757416i | ||||
\(706\) | 17.1899 | − | 19.3427i | 0.646952 | − | 0.727974i | ||||
\(707\) | 10.3120 | − | 20.5328i | 0.387822 | − | 0.772217i | ||||
\(708\) | −9.36952 | − | 4.18880i | −0.352128 | − | 0.157425i | ||||
\(709\) | −6.03563 | + | 1.80695i | −0.226673 | + | 0.0678614i | −0.398126 | − | 0.917331i | \(-0.630339\pi\) |
0.171453 | + | 0.985192i | \(0.445154\pi\) | |||||||
\(710\) | −17.6727 | − | 12.3566i | −0.663246 | − | 0.463736i | ||||
\(711\) | 19.2077 | − | 27.4329i | 0.720347 | − | 1.02881i | ||||
\(712\) | −8.10507 | − | 5.65054i | −0.303750 | − | 0.211763i | ||||
\(713\) | 6.24551 | − | 9.49584i | 0.233896 | − | 0.355622i | ||||
\(714\) | −13.8777 | + | 15.1660i | −0.519360 | + | 0.567573i | ||||
\(715\) | 1.27592 | + | 0.149134i | 0.0477167 | + | 0.00557728i | ||||
\(716\) | −31.0652 | + | 20.4927i | −1.16096 | + | 0.765847i | ||||
\(717\) | 1.32261 | − | 10.0471i | 0.0493936 | − | 0.375216i | ||||
\(718\) | −41.1440 | + | 25.4168i | −1.53548 | + | 0.948546i | ||||
\(719\) | −8.68065 | − | 3.15950i | −0.323734 | − | 0.117829i | 0.175041 | − | 0.984561i | \(-0.443994\pi\) |
−0.498775 | + | 0.866732i | \(0.666216\pi\) | |||||||
\(720\) | 24.1934 | − | 19.2381i | 0.901634 | − | 0.716962i | ||||
\(721\) | 4.16247 | − | 1.51501i | 0.155018 | − | 0.0564221i | ||||
\(722\) | 7.18182 | − | 9.09565i | 0.267280 | − | 0.338505i | ||||
\(723\) | −11.4932 | − | 11.1634i | −0.427438 | − | 0.415172i | ||||
\(724\) | −27.7879 | − | 29.3730i | −1.03273 | − | 1.09164i | ||||
\(725\) | 2.73316 | − | 9.12938i | 0.101507 | − | 0.339057i | ||||
\(726\) | 26.0077 | − | 6.58406i | 0.965235 | − | 0.244357i | ||||
\(727\) | −30.1438 | + | 22.4412i | −1.11797 | + | 0.832299i | −0.987259 | − | 0.159122i | \(-0.949134\pi\) |
−0.130712 | + | 0.991420i | \(0.541726\pi\) | |||||||
\(728\) | 9.93183 | − | 2.68303i | 0.368098 | − | 0.0994397i | ||||
\(729\) | 15.4850 | − | 22.1182i | 0.573519 | − | 0.819192i | ||||
\(730\) | 19.3276 | − | 1.70424i | 0.715348 | − | 0.0630768i | ||||
\(731\) | 43.3267 | − | 32.2555i | 1.60250 | − | 1.19301i | ||||
\(732\) | 15.3538 | + | 43.9776i | 0.567494 | + | 1.62546i | ||||
\(733\) | 4.69850 | + | 1.40664i | 0.173543 | + | 0.0519554i | 0.372396 | − | 0.928074i | \(-0.378536\pi\) |
−0.198853 | + | 0.980029i | \(0.563722\pi\) | |||||||
\(734\) | −15.5050 | − | 19.5818i | −0.572299 | − | 0.722776i | ||||
\(735\) | 14.3216 | + | 13.9106i | 0.528260 | + | 0.513101i | ||||
\(736\) | 5.92110 | − | 18.0752i | 0.218255 | − | 0.666261i | ||||
\(737\) | 0.947512 | + | 2.60327i | 0.0349020 | + | 0.0958926i | ||||
\(738\) | 8.36424 | + | 19.3529i | 0.307892 | + | 0.712391i | ||||
\(739\) | 2.70081 | + | 0.983013i | 0.0993508 | + | 0.0361607i | 0.391217 | − | 0.920298i | \(-0.372054\pi\) |
−0.291867 | + | 0.956459i | \(0.594276\pi\) | |||||||
\(740\) | 20.7285 | + | 27.7641i | 0.761996 | + | 1.02063i | ||||
\(741\) | 12.9211 | + | 1.70094i | 0.474669 | + | 0.0624857i | ||||
\(742\) | 1.56694 | − | 0.846266i | 0.0575241 | − | 0.0310674i | ||||
\(743\) | 48.9922 | + | 5.72637i | 1.79735 | + | 0.210080i | 0.948114 | − | 0.317931i | \(-0.102988\pi\) |
0.849237 | + | 0.528011i | \(0.177062\pi\) | |||||||
\(744\) | 13.9847 | + | 8.86882i | 0.512705 | + | 0.325147i | ||||
\(745\) | 37.3826 | + | 24.5869i | 1.36959 | + | 0.900796i | ||||
\(746\) | −2.07928 | − | 2.07644i | −0.0761279 | − | 0.0760240i | ||||
\(747\) | −15.3243 | + | 21.8865i | −0.560688 | + | 0.800785i | ||||
\(748\) | −1.99464 | − | 1.14798i | −0.0729311 | − | 0.0419742i | ||||
\(749\) | 0.520108 | + | 1.73728i | 0.0190043 | + | 0.0634789i | ||||
\(750\) | 10.3346 | − | 18.5471i | 0.377366 | − | 0.677244i | ||||
\(751\) | −23.2246 | + | 46.2440i | −0.847479 | + | 1.68747i | −0.129305 | + | 0.991605i | \(0.541275\pi\) |
−0.718174 | + | 0.695864i | \(0.755022\pi\) | |||||||
\(752\) | −3.31064 | − | 1.65137i | −0.120727 | − | 0.0602191i | ||||
\(753\) | −12.4020 | − | 22.2206i | −0.451955 | − | 0.809762i | ||||
\(754\) | −17.9157 | − | 5.92306i | −0.652452 | − | 0.215705i | ||||
\(755\) | −9.80078 | − | 5.65848i | −0.356687 | − | 0.205933i | ||||
\(756\) | −6.29806 | + | 15.2653i | −0.229058 | + | 0.555193i | ||||
\(757\) | −32.5932 | + | 18.8177i | −1.18462 | + | 0.683942i | −0.957079 | − | 0.289827i | \(-0.906402\pi\) |
−0.227542 | + | 0.973768i | \(0.573069\pi\) | |||||||
\(758\) | 3.43411 | − | 0.711530i | 0.124732 | − | 0.0258439i | ||||
\(759\) | −0.238465 | + | 1.24622i | −0.00865573 | + | 0.0452348i | ||||
\(760\) | −21.0562 | + | 11.4091i | −0.763789 | + | 0.413852i | ||||
\(761\) | −22.8600 | + | 1.33144i | −0.828674 | + | 0.0482648i | −0.467237 | − | 0.884132i | \(-0.654751\pi\) |
−0.361437 | + | 0.932397i | \(0.617714\pi\) | |||||||
\(762\) | −0.308338 | − | 0.356293i | −0.0111699 | − | 0.0129071i | ||||
\(763\) | −15.3510 | − | 3.63827i | −0.555745 | − | 0.131714i | ||||
\(764\) | −0.00347592 | − | 2.54691i | −0.000125754 | − | 0.0921441i | ||||
\(765\) | −40.7959 | + | 1.18800i | −1.47498 | + | 0.0429521i | ||||
\(766\) | −2.48652 | − | 9.25454i | −0.0898415 | − | 0.334380i | ||||
\(767\) | 0.394328 | − | 6.77036i | 0.0142384 | − | 0.244463i | ||||
\(768\) | 26.4754 | + | 8.18869i | 0.955348 | + | 0.295484i | ||||
\(769\) | −6.94801 | + | 9.33280i | −0.250552 | + | 0.336549i | −0.909550 | − | 0.415596i | \(-0.863573\pi\) |
0.658998 | + | 0.752145i | \(0.270981\pi\) | |||||||
\(770\) | 0.661328 | − | 1.07381i | 0.0238326 | − | 0.0386976i | ||||
\(771\) | 0.878338 | + | 20.1118i | 0.0316326 | + | 0.724310i | ||||
\(772\) | −1.77760 | − | 15.0304i | −0.0639773 | − | 0.540958i | ||||
\(773\) | −3.48593 | − | 19.7697i | −0.125380 | − | 0.711066i | −0.981081 | − | 0.193596i | \(-0.937985\pi\) |
0.855701 | − | 0.517470i | \(-0.173126\pi\) | |||||||
\(774\) | 23.8175 | − | 36.2686i | 0.856104 | − | 1.30365i | ||||
\(775\) | −5.44242 | − | 0.959645i | −0.195497 | − | 0.0344715i | ||||
\(776\) | 15.2087 | − | 0.473691i | 0.545961 | − | 0.0170045i | ||||
\(777\) | −16.8885 | − | 7.57795i | −0.605872 | − | 0.271858i | ||||
\(778\) | 2.54582 | + | 17.2979i | 0.0912722 | + | 0.620159i | ||||
\(779\) | −3.76707 | − | 15.8945i | −0.134969 | − | 0.569480i | ||||
\(780\) | 17.5525 | + | 10.4445i | 0.628481 | + | 0.373973i | ||||
\(781\) | 0.149729 | + | 1.28101i | 0.00535772 | + | 0.0458382i | ||||
\(782\) | −20.5625 | + | 14.4190i | −0.735314 | + | 0.515621i | ||||
\(783\) | 25.0600 | − | 17.0108i | 0.895573 | − | 0.607915i | ||||
\(784\) | −3.06021 | + | 17.6367i | −0.109293 | + | 0.629882i | ||||
\(785\) | 49.7181 | + | 21.4463i | 1.77451 | + | 0.765451i | ||||
\(786\) | −5.95542 | + | 12.3229i | −0.212423 | + | 0.439543i | ||||
\(787\) | −18.3180 | − | 19.4159i | −0.652965 | − | 0.692102i | 0.313299 | − | 0.949654i | \(-0.398566\pi\) |
−0.966264 | + | 0.257552i | \(0.917084\pi\) | |||||||
\(788\) | 47.8478 | + | 14.2536i | 1.70451 | + | 0.507762i | ||||
\(789\) | −5.55789 | − | 11.4797i | −0.197866 | − | 0.408687i | ||||
\(790\) | −37.7808 | + | 15.0392i | −1.34418 | + | 0.535070i | ||||
\(791\) | −20.5685 | − | 17.2590i | −0.731332 | − | 0.613660i | ||||
\(792\) | −1.82127 | − | 0.317252i | −0.0647161 | − | 0.0112731i | ||||
\(793\) | −23.5789 | + | 19.7851i | −0.837312 | + | 0.702588i | ||||
\(794\) | −6.85013 | + | 12.7251i | −0.243102 | + | 0.451598i | ||||
\(795\) | 3.37200 | + | 1.06314i | 0.119592 | + | 0.0377058i | ||||
\(796\) | 1.57910 | + | 26.4893i | 0.0559698 | + | 0.938888i | ||||
\(797\) | 15.6112 | + | 36.1909i | 0.552978 | + | 1.28195i | 0.933964 | + | 0.357367i | \(0.116325\pi\) |
−0.380986 | + | 0.924581i | \(0.624415\pi\) | |||||||
\(798\) | 6.86691 | − | 10.7954i | 0.243086 | − | 0.382154i | ||||
\(799\) | 2.19237 | + | 4.36537i | 0.0775605 | + | 0.154436i | ||||
\(800\) | −9.21036 | + | 0.837477i | −0.325636 | + | 0.0296093i | ||||
\(801\) | 6.50005 | + | 8.22026i | 0.229668 | + | 0.290449i | ||||
\(802\) | −21.0099 | − | 44.9757i | −0.741885 | − | 1.58815i | ||||
\(803\) | −0.844084 | − | 0.796352i | −0.0297871 | − | 0.0281027i | ||||
\(804\) | −3.13995 | + | 43.9357i | −0.110737 | + | 1.54949i | ||||
\(805\) | −7.56242 | − | 11.4981i | −0.266540 | − | 0.405255i | ||||
\(806\) | −2.20546 | + | 10.7180i | −0.0776842 | + | 0.377526i | ||||
\(807\) | −7.19287 | + | 18.9029i | −0.253201 | + | 0.665414i | ||||
\(808\) | 32.1334 | + | 25.3011i | 1.13045 | + | 0.890088i | ||||
\(809\) | − | 43.5512i | − | 1.53118i | −0.643329 | − | 0.765590i | \(-0.722447\pi\) | ||
0.643329 | − | 0.765590i | \(-0.277553\pi\) | |||||||
\(810\) | −30.4598 | + | 12.1266i | −1.07025 | + | 0.426086i | ||||
\(811\) | 14.1357 | 0.496372 | 0.248186 | − | 0.968712i | \(-0.420166\pi\) | ||||
0.248186 | + | 0.968712i | \(0.420166\pi\) | |||||||
\(812\) | −12.6939 | + | 13.4916i | −0.445468 | + | 0.473462i | ||||
\(813\) | −15.3067 | + | 12.4693i | −0.536830 | + | 0.437319i | ||||
\(814\) | 0.417669 | − | 2.02977i | 0.0146393 | − | 0.0711433i | ||||
\(815\) | 39.8150 | − | 26.1868i | 1.39466 | − | 0.917282i | ||||
\(816\) | −21.5031 | − | 29.6069i | −0.752759 | − | 1.03645i | ||||
\(817\) | −23.0699 | + | 24.4527i | −0.807114 | + | 0.855491i | ||||
\(818\) | −11.2724 | + | 5.26578i | −0.394131 | + | 0.184114i | ||||
\(819\) | −10.9073 | − | 0.317114i | −0.381132 | − | 0.0110809i | ||||
\(820\) | 4.41103 | − | 25.2174i | 0.154040 | − | 0.880629i | ||||
\(821\) | 13.7730 | − | 6.91705i | 0.480680 | − | 0.241407i | −0.191923 | − | 0.981410i | \(-0.561472\pi\) |
0.672603 | + | 0.740003i | \(0.265176\pi\) | |||||||
\(822\) | 22.9594 | + | 44.0300i | 0.800803 | + | 1.53572i | ||||
\(823\) | 42.7915 | − | 18.4584i | 1.49162 | − | 0.643421i | 0.514764 | − | 0.857332i | \(-0.327879\pi\) |
0.976853 | + | 0.213911i | \(0.0686201\pi\) | |||||||
\(824\) | 1.15871 | + | 7.79907i | 0.0403655 | + | 0.271693i | ||||
\(825\) | 0.602324 | − | 0.133539i | 0.0209702 | − | 0.00464925i | ||||
\(826\) | −5.86241 | − | 3.15582i | −0.203979 | − | 0.109805i | ||||
\(827\) | 31.2725 | + | 37.2691i | 1.08745 | + | 1.29597i | 0.952305 | + | 0.305149i | \(0.0987063\pi\) |
0.135147 | + | 0.990826i | \(0.456849\pi\) | |||||||
\(828\) | −11.5484 | + | 16.5417i | −0.401336 | + | 0.574863i | ||||
\(829\) | 29.8802 | − | 35.6098i | 1.03778 | − | 1.23678i | 0.0667640 | − | 0.997769i | \(-0.478733\pi\) |
0.971017 | − | 0.239010i | \(-0.0768230\pi\) | |||||||
\(830\) | 30.1422 | − | 11.9986i | 1.04625 | − | 0.416476i | ||||
\(831\) | −2.84690 | + | 39.0850i | −0.0987579 | + | 1.35584i | ||||
\(832\) | 1.13961 | + | 18.2768i | 0.0395087 | + | 0.633635i | ||||
\(833\) | 17.1917 | − | 16.2195i | 0.595656 | − | 0.561972i | ||||
\(834\) | 1.95674 | + | 26.6048i | 0.0677563 | + | 0.921248i | ||||
\(835\) | −0.258395 | + | 0.599027i | −0.00894212 | + | 0.0207302i | ||||
\(836\) | 1.34663 | + | 0.488052i | 0.0465740 | + | 0.0168796i | ||||
\(837\) | −11.4851 | − | 13.2891i | −0.396984 | − | 0.459337i | ||||
\(838\) | 34.6458 | − | 24.2945i | 1.19682 | − | 0.839238i | ||||
\(839\) | −0.588017 | + | 0.0687293i | −0.0203006 | + | 0.00237280i | −0.126237 | − | 0.992000i | \(-0.540290\pi\) |
0.105937 | + | 0.994373i | \(0.466216\pi\) | |||||||
\(840\) | 16.5676 | − | 11.2951i | 0.571637 | − | 0.389720i | ||||
\(841\) | 4.84257 | − | 1.14771i | 0.166985 | − | 0.0395762i | ||||
\(842\) | 7.31581 | − | 1.07671i | 0.252119 | − | 0.0371058i | ||||
\(843\) | −27.9349 | + | 2.85427i | −0.962129 | + | 0.0983064i | ||||
\(844\) | 22.0563 | + | 1.25443i | 0.759208 | + | 0.0431792i | ||||
\(845\) | 3.47109 | − | 19.6855i | 0.119409 | − | 0.677202i | ||||
\(846\) | 2.85616 | + | 2.69084i | 0.0981968 | + | 0.0925130i | ||||
\(847\) | 17.1393 | − | 3.02211i | 0.588912 | − | 0.103841i | ||||
\(848\) | 0.917429 | + | 3.03426i | 0.0315046 | + | 0.104197i | ||||
\(849\) | −25.1892 | + | 48.3893i | −0.864490 | + | 1.66072i | ||||
\(850\) | 10.3977 | + | 6.40362i | 0.356639 | + | 0.219643i | ||||
\(851\) | −18.1393 | − | 13.5042i | −0.621807 | − | 0.462918i | ||||
\(852\) | −6.13949 | + | 19.5658i | −0.210335 | + | 0.670314i | ||||
\(853\) | −23.0195 | − | 1.34073i | −0.788173 | − | 0.0459059i | −0.340664 | − | 0.940185i | \(-0.610652\pi\) |
−0.447509 | + | 0.894279i | \(0.647689\pi\) | |||||||
\(854\) | 7.84077 | + | 29.1825i | 0.268305 | + | 0.998604i | ||||
\(855\) | 24.8763 | − | 5.13716i | 0.850753 | − | 0.175687i | ||||
\(856\) | −3.21509 | + | 0.287918i | −0.109890 | + | 0.00984082i | ||||
\(857\) | −4.77744 | + | 20.1576i | −0.163194 | + | 0.688571i | 0.828504 | + | 0.559983i | \(0.189192\pi\) |
−0.991698 | + | 0.128587i | \(0.958956\pi\) | |||||||
\(858\) | −0.230436 | − | 1.19967i | −0.00786694 | − | 0.0409560i | ||||
\(859\) | −0.339475 | − | 5.82857i | −0.0115828 | − | 0.198868i | −0.999135 | − | 0.0415784i | \(-0.986761\pi\) |
0.987552 | − | 0.157290i | \(-0.0502757\pi\) | |||||||
\(860\) | −48.3491 | + | 20.9341i | −1.64869 | + | 0.713846i | ||||
\(861\) | 4.49048 | + | 12.9186i | 0.153035 | + | 0.440265i | ||||
\(862\) | −2.31025 | + | 0.478672i | −0.0786873 | + | 0.0163036i | ||||
\(863\) | 16.7255 | + | 28.9694i | 0.569343 | + | 0.986131i | 0.996631 | + | 0.0820152i | \(0.0261356\pi\) |
−0.427288 | + | 0.904115i | \(0.640531\pi\) | |||||||
\(864\) | −24.3775 | − | 16.4237i | −0.829338 | − | 0.558747i | ||||
\(865\) | 16.8133 | − | 29.1215i | 0.571670 | − | 0.990162i | ||||
\(866\) | 16.4199 | − | 49.6659i | 0.557970 | − | 1.68772i | ||||
\(867\) | −0.274229 | + | 18.8684i | −0.00931329 | + | 0.640806i | ||||
\(868\) | 8.62558 | + | 6.40323i | 0.292771 | + | 0.217340i | ||||
\(869\) | 2.17339 | + | 1.09152i | 0.0737271 | + | 0.0370271i | ||||
\(870\) | −36.7733 | + | 0.560414i | −1.24673 | + | 0.0189998i | ||||
\(871\) | −27.8835 | + | 8.34778i | −0.944797 | + | 0.282854i | ||||
\(872\) | 11.8157 | − | 25.4749i | 0.400131 | − | 0.862690i | ||||
\(873\) | −15.5893 | − | 4.17674i | −0.527617 | − | 0.141361i | ||||
\(874\) | 11.0449 | − | 11.0600i | 0.373600 | − | 0.374110i | ||||
\(875\) | 7.56862 | − | 11.5075i | 0.255866 | − | 0.389025i | ||||
\(876\) | −7.08434 | − | 17.0367i | −0.239358 | − | 0.575618i | ||||
\(877\) | 1.67517 | − | 14.3320i | 0.0565664 | − | 0.483956i | −0.935028 | − | 0.354573i | \(-0.884626\pi\) |
0.991595 | − | 0.129383i | \(-0.0412997\pi\) | |||||||
\(878\) | −16.0417 | + | 8.66375i | −0.541382 | + | 0.292387i | ||||
\(879\) | 0.170436 | − | 0.0705994i | 0.00574868 | − | 0.00238126i | ||||
\(880\) | 1.63700 | + | 1.53601i | 0.0551833 | + | 0.0517788i | ||||
\(881\) | 7.40586 | − | 20.3474i | 0.249510 | − | 0.685522i | −0.750195 | − | 0.661217i | \(-0.770040\pi\) |
0.999705 | − | 0.0243055i | \(-0.00773743\pi\) | |||||||
\(882\) | 8.50894 | − | 16.9726i | 0.286511 | − | 0.571496i | ||||
\(883\) | 27.0785 | − | 9.85577i | 0.911264 | − | 0.331673i | 0.156507 | − | 0.987677i | \(-0.449977\pi\) |
0.754757 | + | 0.656004i | \(0.227755\pi\) | |||||||
\(884\) | 13.2592 | − | 20.2197i | 0.445956 | − | 0.680062i | ||||
\(885\) | −3.60659 | − | 12.7166i | −0.121234 | − | 0.427464i | ||||
\(886\) | 22.5970 | + | 28.5386i | 0.759162 | + | 0.958771i | ||||
\(887\) | −12.7890 | + | 42.7181i | −0.429411 | + | 1.43433i | 0.420445 | + | 0.907318i | \(0.361874\pi\) |
−0.849856 | + | 0.527015i | \(0.823311\pi\) | |||||||
\(888\) | 19.2343 | − | 26.7522i | 0.645460 | − | 0.897745i | ||||
\(889\) | −0.182530 | − | 0.245180i | −0.00612186 | − | 0.00822308i | ||||
\(890\) | −1.11771 | − | 12.6758i | −0.0374656 | − | 0.424895i | ||||
\(891\) | 1.75231 | + | 0.879941i | 0.0587046 | + | 0.0294791i | ||||
\(892\) | 6.26375 | + | 35.2422i | 0.209726 | + | 1.17999i | ||||
\(893\) | −1.81554 | − | 2.43869i | −0.0607548 | − | 0.0816078i | ||||
\(894\) | 11.5806 | − | 40.9426i | 0.387314 | − | 1.36933i | ||||
\(895\) | −45.9168 | − | 13.7466i | −1.53483 | − | 0.459498i | ||||
\(896\) | 16.7389 | + | 6.55755i | 0.559208 | + | 0.219072i | ||||
\(897\) | −12.9254 | − | 3.26248i | −0.431568 | − | 0.108931i | ||||
\(898\) | −1.20993 | − | 0.955347i | −0.0403759 | − | 0.0318804i | ||||
\(899\) | −6.73896 | − | 18.5151i | −0.224757 | − | 0.617515i | ||||
\(900\) | 9.60946 | + | 1.97029i | 0.320315 | + | 0.0656763i | ||||
\(901\) | 1.43154 | − | 3.93311i | 0.0476914 | − | 0.131031i | ||||
\(902\) | −1.30262 | + | 0.804696i | −0.0433725 | + | 0.0267935i | ||||
\(903\) | 17.1348 | − | 22.3311i | 0.570211 | − | 0.743132i | ||||
\(904\) | 37.4291 | − | 29.7198i | 1.24487 | − | 0.988467i | ||||
\(905\) | 6.04567 | − | 51.7240i | 0.200965 | − | 1.71936i | ||||
\(906\) | −2.32201 | + | 10.5084i | −0.0771435 | + | 0.349118i | ||||
\(907\) | 32.1459 | + | 21.1427i | 1.06739 | + | 0.702031i | 0.956479 | − | 0.291800i | \(-0.0942542\pi\) |
0.110907 | + | 0.993831i | \(0.464625\pi\) | |||||||
\(908\) | −10.6414 | − | 8.90445i | −0.353146 | − | 0.295504i | ||||
\(909\) | −24.8823 | − | 35.5339i | −0.825295 | − | 1.17858i | ||||
\(910\) | 10.8588 | + | 7.59241i | 0.359967 | + | 0.251686i | ||||
\(911\) | −7.73991 | − | 25.8531i | −0.256435 | − | 0.856552i | −0.985144 | − | 0.171729i | \(-0.945065\pi\) |
0.728710 | − | 0.684823i | \(-0.240120\pi\) | |||||||
\(912\) | 16.3795 | + | 15.8228i | 0.542380 | + | 0.523946i | ||||
\(913\) | −1.73397 | − | 0.870833i | −0.0573861 | − | 0.0288204i | ||||
\(914\) | −1.35209 | − | 1.20160i | −0.0447231 | − | 0.0397455i | ||||
\(915\) | −30.7479 | + | 51.5133i | −1.01649 | + | 1.70298i | ||||
\(916\) | −31.7803 | − | 7.48628i | −1.05005 | − | 0.247354i | ||||
\(917\) | −4.43929 | + | 7.68908i | −0.146598 | + | 0.253916i | ||||
\(918\) | 12.7687 | + | 36.6508i | 0.421431 | + | 1.20966i | ||||
\(919\) | −17.9104 | + | 10.3406i | −0.590811 | + | 0.341105i | −0.765418 | − | 0.643533i | \(-0.777468\pi\) |
0.174607 | + | 0.984638i | \(0.444135\pi\) | |||||||
\(920\) | 22.7472 | − | 9.09086i | 0.749954 | − | 0.299717i | ||||
\(921\) | −24.5513 | + | 28.4102i | −0.808992 | + | 0.936147i | ||||
\(922\) | 33.1527 | − | 11.0107i | 1.09183 | − | 0.362619i | ||||
\(923\) | −13.5275 | + | 0.787888i | −0.445264 | + | 0.0259337i | ||||
\(924\) | −1.16320 | − | 0.291912i | −0.0382664 | − | 0.00960320i | ||||
\(925\) | −2.53580 | + | 10.6994i | −0.0833767 | + | 0.351794i | ||||
\(926\) | 54.8576 | + | 4.76170i | 1.80273 | + | 0.156479i | ||||
\(927\) | 1.21187 | − | 8.27469i | 0.0398029 | − | 0.271776i | ||||
\(928\) | −19.0049 | − | 26.9457i | −0.623866 | − | 0.884535i | ||||
\(929\) | −53.8522 | − | 3.13653i | −1.76683 | − | 0.102906i | −0.856336 | − | 0.516419i | \(-0.827265\pi\) |
−0.910498 | + | 0.413513i | \(0.864302\pi\) | |||||||
\(930\) | 2.79849 | + | 21.1433i | 0.0917662 | + | 0.693315i | ||||
\(931\) | −8.78424 | + | 11.7993i | −0.287892 | + | 0.386706i | ||||
\(932\) | −7.21491 | − | 3.61114i | −0.236332 | − | 0.118287i | ||||
\(933\) | 4.91001 | + | 7.70697i | 0.160747 | + | 0.252315i | ||||
\(934\) | −55.5112 | + | 1.65312i | −1.81638 | + | 0.0540919i | ||||
\(935\) | −0.514694 | − | 2.91897i | −0.0168323 | − | 0.0954606i | ||||
\(936\) | 4.44014 | − | 18.9088i | 0.145131 | − | 0.618054i | ||||
\(937\) | −6.74237 | + | 38.2379i | −0.220264 | + | 1.24918i | 0.651272 | + | 0.758845i | \(0.274236\pi\) |
−0.871535 | + | 0.490333i | \(0.836875\pi\) | |||||||
\(938\) | −4.12202 | + | 28.2754i | −0.134589 | + | 0.923223i | ||||
\(939\) | 1.98885 | − | 1.43620i | 0.0649038 | − | 0.0468687i | ||||
\(940\) | −1.10517 | − | 4.63488i | −0.0360467 | − | 0.151173i | ||||
\(941\) | −18.1125 | + | 4.29274i | −0.590451 | + | 0.139939i | −0.514971 | − | 0.857208i | \(-0.672197\pi\) |
−0.0754803 | + | 0.997147i | \(0.524049\pi\) | |||||||
\(942\) | 5.19770 | − | 51.2276i | 0.169350 | − | 1.66909i | ||||
\(943\) | 1.93975 | + | 16.5956i | 0.0631670 | + | 0.540428i | ||||
\(944\) | 7.59284 | − | 9.09912i | 0.247126 | − | 0.296151i | ||||
\(945\) | −20.2834 | + | 6.39610i | −0.659818 | + | 0.208065i | ||||
\(946\) | 2.85681 | + | 1.32978i | 0.0928827 | + | 0.0432348i | ||||
\(947\) | −10.1459 | − | 4.37652i | −0.329698 | − | 0.142218i | 0.224795 | − | 0.974406i | \(-0.427829\pi\) |
−0.554493 | + | 0.832188i | \(0.687088\pi\) | |||||||
\(948\) | 24.4641 | + | 29.9473i | 0.794557 | + | 0.972643i | ||||
\(949\) | 8.86829 | − | 8.36680i | 0.287877 | − | 0.271598i | ||||
\(950\) | −7.06508 | − | 2.80120i | −0.229221 | − | 0.0908828i | ||||
\(951\) | −17.3111 | + | 25.5051i | −0.561351 | + | 0.827059i | ||||
\(952\) | −12.5029 | − | 20.1777i | −0.405222 | − | 0.653965i | ||||
\(953\) | −1.79504 | + | 2.13925i | −0.0581471 | + | 0.0692971i | −0.794334 | − | 0.607481i | \(-0.792180\pi\) |
0.736187 | + | 0.676778i | \(0.236624\pi\) | |||||||
\(954\) | −0.00237312 | − | 3.36221i | −7.68325e−5 | − | 0.108855i | ||||
\(955\) | 2.51279 | − | 2.10848i | 0.0813119 | − | 0.0682288i | ||||
\(956\) | 10.7508 | + | 4.62005i | 0.347706 | + | 0.149423i | ||||
\(957\) | 1.48607 | + | 1.62172i | 0.0480379 | + | 0.0524229i | ||||
\(958\) | −23.5046 | − | 0.667862i | −0.759400 | − | 0.0215776i | ||||
\(959\) | 12.7588 | + | 29.5783i | 0.412004 | + | 0.955132i | ||||
\(960\) | 13.7939 | + | 32.9185i | 0.445197 | + | 1.06244i | ||||
\(961\) | 17.4918 | − | 8.78471i | 0.564252 | − | 0.283378i | ||||
\(962\) | 21.0343 | + | 5.62075i | 0.678174 | + | 0.181220i | ||||
\(963\) | 3.35305 | + | 0.692267i | 0.108051 | + | 0.0223080i | ||||
\(964\) | 16.0097 | − | 9.27239i | 0.515639 | − | 0.298643i | ||||
\(965\) | 13.3768 | − | 14.1786i | 0.430614 | − | 0.456424i | ||||
\(966\) | −8.25850 | + | 10.1523i | −0.265713 | + | 0.326646i | ||||
\(967\) | 12.6950 | + | 19.3019i | 0.408245 | + | 0.620707i | 0.979829 | − | 0.199837i | \(-0.0640412\pi\) |
−0.571584 | + | 0.820544i | \(0.693671\pi\) | |||||||
\(968\) | −0.837607 | + | 30.9671i | −0.0269217 | + | 0.995321i | ||||
\(969\) | −4.79077 | − | 29.6863i | −0.153902 | − | 0.953662i | ||||
\(970\) | 13.0380 | + | 14.6306i | 0.418625 | + | 0.469760i | ||||
\(971\) | − | 5.71695i | − | 0.183466i | −0.995784 | − | 0.0917329i | \(-0.970759\pi\) | ||
0.995784 | − | 0.0917329i | \(-0.0292406\pi\) | |||||||
\(972\) | 19.7250 | + | 24.1438i | 0.632681 | + | 0.774412i | ||||
\(973\) | 17.3054i | 0.554786i | ||||||||
\(974\) | 42.4924 | − | 37.8670i | 1.36154 | − | 1.21334i | ||||
\(975\) | 1.03269 | + | 6.39913i | 0.0330725 | + | 0.204936i | ||||
\(976\) | −53.6872 | + | 3.27398i | −1.71848 | + | 0.104798i | ||||
\(977\) | 24.8694 | + | 37.8121i | 0.795643 | + | 1.20972i | 0.974178 | + | 0.225783i | \(0.0724939\pi\) |
−0.178535 | + | 0.983934i | \(0.557136\pi\) | |||||||
\(978\) | −35.1550 | − | 28.5971i | −1.12413 | − | 0.914436i | ||||
\(979\) | −0.522279 | + | 0.553583i | −0.0166921 | + | 0.0176926i | ||||
\(980\) | −19.9495 | + | 11.5542i | −0.637265 | + | 0.369086i | ||||
\(981\) | −19.8005 | + | 22.2507i | −0.632183 | + | 0.710411i | ||||
\(982\) | −1.64454 | + | 6.15432i | −0.0524795 | + | 0.196392i | ||||
\(983\) | 37.1641 | − | 18.6645i | 1.18535 | − | 0.595306i | 0.256784 | − | 0.966469i | \(-0.417337\pi\) |
0.928568 | + | 0.371163i | \(0.121041\pi\) | |||||||
\(984\) | −24.1298 | + | 3.22730i | −0.769229 | + | 0.102883i | ||||
\(985\) | 25.4680 | + | 59.0413i | 0.811476 | + | 1.88121i | ||||
\(986\) | −1.23659 | + | 43.5204i | −0.0393811 | + | 1.38597i | ||||
\(987\) | 1.71979 | + | 1.87678i | 0.0547415 | + | 0.0597385i | ||||
\(988\) | −5.94163 | + | 13.8261i | −0.189029 | + | 0.439867i | ||||
\(989\) | 26.3420 | − | 22.1036i | 0.837627 | − | 0.702853i | ||||
\(990\) | −1.19194 | − | 2.06113i | −0.0378822 | − | 0.0655071i | ||||
\(991\) | 9.86674 | − | 11.7587i | 0.313427 | − | 0.373528i | −0.586215 | − | 0.810155i | \(-0.699383\pi\) |
0.899643 | + | 0.436627i | \(0.143827\pi\) | |||||||
\(992\) | −14.2409 | + | 12.7607i | −0.452149 | + | 0.405151i | ||||
\(993\) | 28.2765 | − | 41.6608i | 0.897329 | − | 1.32207i | ||||
\(994\) | −4.90302 | + | 12.3662i | −0.155514 | + | 0.392233i | ||||
\(995\) | −24.8591 | + | 23.4533i | −0.788086 | + | 0.743521i | ||||
\(996\) | −19.5179 | − | 23.8926i | −0.618449 | − | 0.757065i | ||||
\(997\) | 26.5533 | + | 11.4540i | 0.840951 | + | 0.362751i | 0.772587 | − | 0.634909i | \(-0.218963\pi\) |
0.0683647 | + | 0.997660i | \(0.478222\pi\) | |||||||
\(998\) | −20.5111 | + | 44.0646i | −0.649267 | + | 1.39484i | ||||
\(999\) | −27.7251 | + | 21.2758i | −0.877184 | + | 0.673136i |
(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 | 648.2.bb.b.155.79 | yes | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.155.36 | ✓ | 1872 | |
81.23 | odd | 54 | inner | 648.2.bb.b.347.36 | yes | 1872 | |
648.347 | even | 54 | inner | 648.2.bb.b.347.79 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.155.36 | ✓ | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.155.79 | yes | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.347.36 | yes | 1872 | 81.23 | odd | 54 | inner | |
648.2.bb.b.347.79 | yes | 1872 | 648.347 | even | 54 | inner |