Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(4,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bn (of order \(30\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.14 | ||
Character | \(\chi\) | \(=\) | 429.4 |
Dual form | 429.2.bn.b.322.14 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.08800 | + | 2.44369i | 0.769333 | + | 1.72795i | 0.681504 | + | 0.731815i | \(0.261326\pi\) |
0.0878293 | + | 0.996136i | \(0.472007\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −3.44962 | + | 3.83119i | −1.72481 | + | 1.91559i | ||||
\(5\) | 0.581262 | + | 0.800038i | 0.259948 | + | 0.357788i | 0.918964 | − | 0.394341i | \(-0.129027\pi\) |
−0.659016 | + | 0.752129i | \(0.729027\pi\) | |||||||
\(6\) | −1.08800 | + | 2.44369i | −0.444175 | + | 0.997633i | ||||
\(7\) | −1.78483 | − | 1.60707i | −0.674602 | − | 0.607415i | 0.258935 | − | 0.965895i | \(-0.416628\pi\) |
−0.933537 | + | 0.358480i | \(0.883295\pi\) | |||||||
\(8\) | −8.02736 | − | 2.60825i | −2.83810 | − | 0.922155i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −1.32263 | + | 2.29087i | −0.418253 | + | 0.724436i | ||||
\(11\) | −0.857353 | + | 3.20390i | −0.258502 | + | 0.966011i | ||||
\(12\) | −5.15537 | −1.48823 | ||||||||
\(13\) | 1.84113 | − | 3.10004i | 0.510639 | − | 0.859795i | ||||
\(14\) | 1.98528 | − | 6.11006i | 0.530588 | − | 1.63298i | ||||
\(15\) | −0.205604 | + | 0.967292i | −0.0530868 | + | 0.249754i | ||||
\(16\) | −1.28226 | − | 12.1999i | −0.320565 | − | 3.04998i | ||||
\(17\) | 2.48923 | + | 1.10828i | 0.603727 | + | 0.268797i | 0.685754 | − | 0.727833i | \(-0.259473\pi\) |
−0.0820266 | + | 0.996630i | \(0.526139\pi\) | |||||||
\(18\) | −2.54403 | + | 0.826606i | −0.599634 | + | 0.194833i | ||||
\(19\) | 0.914150 | + | 4.30074i | 0.209720 | + | 0.986657i | 0.949490 | + | 0.313797i | \(0.101601\pi\) |
−0.739770 | + | 0.672860i | \(0.765066\pi\) | |||||||
\(20\) | −5.07023 | − | 0.532902i | −1.13374 | − | 0.119161i | ||||
\(21\) | − | 2.40173i | − | 0.524100i | ||||||
\(22\) | −8.76213 | + | 1.39074i | −1.86809 | + | 0.296506i | ||||
\(23\) | −2.58250 | + | 4.47302i | −0.538489 | + | 0.932690i | 0.460497 | + | 0.887661i | \(0.347671\pi\) |
−0.998986 | + | 0.0450285i | \(0.985662\pi\) | |||||||
\(24\) | −3.43305 | − | 7.71075i | −0.700768 | − | 1.57395i | ||||
\(25\) | 1.24289 | − | 3.82522i | 0.248578 | − | 0.765044i | ||||
\(26\) | 9.57869 | + | 1.12632i | 1.87853 | + | 0.220889i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 12.3140 | − | 1.29425i | 2.32712 | − | 0.244590i | ||||
\(29\) | 10.2290 | + | 2.17424i | 1.89948 | + | 0.403746i | 0.999483 | − | 0.0321577i | \(-0.0102379\pi\) |
0.899993 | + | 0.435904i | \(0.143571\pi\) | |||||||
\(30\) | −2.58746 | + | 0.549981i | −0.472403 | + | 0.100412i | ||||
\(31\) | −0.151225 | + | 0.208143i | −0.0271608 | + | 0.0373836i | −0.822381 | − | 0.568937i | \(-0.807355\pi\) |
0.795221 | + | 0.606320i | \(0.207355\pi\) | |||||||
\(32\) | 13.7984 | − | 7.96649i | 2.43923 | − | 1.40829i | ||||
\(33\) | −2.95464 | + | 1.50669i | −0.514337 | + | 0.262281i | ||||
\(34\) | 7.28872i | 1.25001i | ||||||||
\(35\) | 0.248262 | − | 2.36206i | 0.0419640 | − | 0.399261i | ||||
\(36\) | −3.44962 | − | 3.83119i | −0.574936 | − | 0.638531i | ||||
\(37\) | −0.892145 | + | 4.19721i | −0.146668 | + | 0.690017i | 0.841949 | + | 0.539558i | \(0.181409\pi\) |
−0.988616 | + | 0.150459i | \(0.951925\pi\) | |||||||
\(38\) | −9.51508 | + | 6.91311i | −1.54355 | + | 1.12145i | ||||
\(39\) | 3.53574 | − | 0.706100i | 0.566171 | − | 0.113067i | ||||
\(40\) | −2.57930 | − | 7.93827i | −0.407823 | − | 1.25515i | ||||
\(41\) | 2.84028 | − | 2.55740i | 0.443577 | − | 0.399398i | −0.416848 | − | 0.908976i | \(-0.636865\pi\) |
0.860424 | + | 0.509578i | \(0.170198\pi\) | |||||||
\(42\) | 5.86907 | − | 2.61308i | 0.905618 | − | 0.403207i | ||||
\(43\) | −2.86128 | − | 4.95587i | −0.436340 | − | 0.755764i | 0.561064 | − | 0.827773i | \(-0.310392\pi\) |
−0.997404 | + | 0.0720089i | \(0.977059\pi\) | |||||||
\(44\) | −9.31718 | − | 14.3369i | −1.40462 | − | 2.16137i | ||||
\(45\) | −0.856414 | + | 0.494451i | −0.127667 | + | 0.0737084i | ||||
\(46\) | −13.7404 | − | 1.44418i | −2.02592 | − | 0.212933i | ||||
\(47\) | 6.12439 | + | 1.98993i | 0.893334 | + | 0.290262i | 0.719483 | − | 0.694510i | \(-0.244379\pi\) |
0.173851 | + | 0.984772i | \(0.444379\pi\) | |||||||
\(48\) | 8.20829 | − | 9.11623i | 1.18477 | − | 1.31582i | ||||
\(49\) | −0.128749 | − | 1.22497i | −0.0183927 | − | 0.174995i | ||||
\(50\) | 10.6999 | − | 1.12461i | 1.51320 | − | 0.159043i | ||||
\(51\) | 0.842011 | + | 2.59144i | 0.117905 | + | 0.362875i | ||||
\(52\) | 5.52561 | + | 17.7477i | 0.766265 | + | 2.46116i | ||||
\(53\) | −10.0360 | − | 7.29160i | −1.37855 | − | 1.00158i | −0.997014 | − | 0.0772258i | \(-0.975394\pi\) |
−0.381540 | − | 0.924352i | \(-0.624606\pi\) | |||||||
\(54\) | −2.31658 | − | 1.33748i | −0.315246 | − | 0.182007i | ||||
\(55\) | −3.06159 | + | 1.17639i | −0.412824 | + | 0.158624i | ||||
\(56\) | 10.1358 | + | 17.5558i | 1.35446 | + | 2.34599i | ||||
\(57\) | −2.58439 | + | 3.55710i | −0.342310 | + | 0.471150i | ||||
\(58\) | 5.81599 | + | 27.3621i | 0.763676 | + | 3.59282i | ||||
\(59\) | 2.35719 | + | 2.12243i | 0.306880 | + | 0.276316i | 0.808152 | − | 0.588973i | \(-0.200468\pi\) |
−0.501272 | + | 0.865290i | \(0.667134\pi\) | |||||||
\(60\) | −2.99662 | − | 4.12449i | −0.386862 | − | 0.532470i | ||||
\(61\) | 6.81422 | + | 3.03389i | 0.872472 | + | 0.388450i | 0.793603 | − | 0.608436i | \(-0.208203\pi\) |
0.0788686 | + | 0.996885i | \(0.474869\pi\) | |||||||
\(62\) | −0.673171 | − | 0.143087i | −0.0854927 | − | 0.0181720i | ||||
\(63\) | 1.78483 | − | 1.60707i | 0.224867 | − | 0.202472i | ||||
\(64\) | 14.6317 | + | 10.6306i | 1.82896 | + | 1.32882i | ||||
\(65\) | 3.55033 | − | 0.328955i | 0.440364 | − | 0.0408019i | ||||
\(66\) | −6.89653 | − | 5.58095i | −0.848904 | − | 0.686967i | ||||
\(67\) | 5.64537 | + | 3.25936i | 0.689692 | + | 0.398194i | 0.803497 | − | 0.595309i | \(-0.202970\pi\) |
−0.113805 | + | 0.993503i | \(0.536304\pi\) | |||||||
\(68\) | −12.8329 | + | 5.71358i | −1.55622 | + | 0.692874i | ||||
\(69\) | −5.05213 | + | 1.07386i | −0.608206 | + | 0.129278i | ||||
\(70\) | 6.04225 | − | 1.96325i | 0.722187 | − | 0.234653i | ||||
\(71\) | 5.53205 | − | 12.4252i | 0.656534 | − | 1.47460i | −0.211135 | − | 0.977457i | \(-0.567716\pi\) |
0.867669 | − | 0.497143i | \(-0.165617\pi\) | |||||||
\(72\) | 3.43305 | − | 7.71075i | 0.404588 | − | 0.908721i | ||||
\(73\) | −8.22657 | + | 2.67298i | −0.962847 | + | 0.312848i | −0.747925 | − | 0.663783i | \(-0.768950\pi\) |
−0.214922 | + | 0.976631i | \(0.568950\pi\) | |||||||
\(74\) | −11.2273 | + | 2.38644i | −1.30515 | + | 0.277419i | ||||
\(75\) | 3.67435 | − | 1.63592i | 0.424277 | − | 0.188900i | ||||
\(76\) | −19.6304 | − | 11.3336i | −2.25176 | − | 1.30006i | ||||
\(77\) | 6.67911 | − | 4.34058i | 0.761155 | − | 0.494656i | ||||
\(78\) | 5.57237 | + | 7.87200i | 0.630947 | + | 0.891329i | ||||
\(79\) | 2.07763 | + | 1.50949i | 0.233752 | + | 0.169830i | 0.698495 | − | 0.715615i | \(-0.253853\pi\) |
−0.464743 | + | 0.885445i | \(0.653853\pi\) | |||||||
\(80\) | 9.01506 | − | 8.11720i | 1.00791 | − | 0.907530i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 9.33971 | + | 4.15831i | 1.03140 | + | 0.459208i | ||||
\(83\) | −1.75391 | − | 2.41405i | −0.192516 | − | 0.264976i | 0.701837 | − | 0.712338i | \(-0.252364\pi\) |
−0.894353 | + | 0.447362i | \(0.852364\pi\) | |||||||
\(84\) | 9.20146 | + | 8.28503i | 1.00396 | + | 0.903971i | ||||
\(85\) | 0.560231 | + | 2.63568i | 0.0607656 | + | 0.285880i | ||||
\(86\) | 8.99755 | − | 12.3841i | 0.970231 | − | 1.33541i | ||||
\(87\) | 5.22876 | + | 9.05647i | 0.560582 | + | 0.970956i | ||||
\(88\) | 15.2388 | − | 23.4826i | 1.62446 | − | 2.50326i | ||||
\(89\) | −11.7685 | − | 6.79454i | −1.24746 | − | 0.720220i | −0.276855 | − | 0.960912i | \(-0.589292\pi\) |
−0.970602 | + | 0.240692i | \(0.922626\pi\) | |||||||
\(90\) | −2.14006 | − | 1.55485i | −0.225583 | − | 0.163895i | ||||
\(91\) | −8.26808 | + | 2.57421i | −0.866730 | + | 0.269851i | ||||
\(92\) | −8.22835 | − | 25.3243i | −0.857865 | − | 2.64024i | ||||
\(93\) | −0.255870 | + | 0.0268930i | −0.0265325 | + | 0.00278867i | ||||
\(94\) | 1.80056 | + | 17.1312i | 0.185713 | + | 1.76694i | ||||
\(95\) | −2.90940 | + | 3.23121i | −0.298498 | + | 0.331515i | ||||
\(96\) | 15.1532 | + | 4.92356i | 1.54656 | + | 0.502509i | ||||
\(97\) | −7.67106 | − | 0.806261i | −0.778878 | − | 0.0818634i | −0.293258 | − | 0.956033i | \(-0.594740\pi\) |
−0.485620 | + | 0.874170i | \(0.661406\pi\) | |||||||
\(98\) | 2.85336 | − | 1.64739i | 0.288233 | − | 0.166411i | ||||
\(99\) | −3.09673 | − | 1.18755i | −0.311233 | − | 0.119354i | ||||
\(100\) | 10.3676 | + | 17.9573i | 1.03676 | + | 1.79573i | ||||
\(101\) | 8.95065 | − | 3.98509i | 0.890623 | − | 0.396531i | 0.0901702 | − | 0.995926i | \(-0.471259\pi\) |
0.800453 | + | 0.599395i | \(0.204592\pi\) | |||||||
\(102\) | −5.41658 | + | 4.87711i | −0.536321 | + | 0.482905i | ||||
\(103\) | 3.63607 | + | 11.1907i | 0.358273 | + | 1.10265i | 0.954087 | + | 0.299529i | \(0.0968295\pi\) |
−0.595814 | + | 0.803122i | \(0.703171\pi\) | |||||||
\(104\) | −22.8651 | + | 20.0830i | −2.24211 | + | 1.96930i | ||||
\(105\) | 1.92147 | − | 1.39603i | 0.187516 | − | 0.136239i | ||||
\(106\) | 6.89920 | − | 32.4582i | 0.670110 | − | 3.15262i | ||||
\(107\) | 2.76698 | + | 3.07304i | 0.267494 | + | 0.297082i | 0.861895 | − | 0.507087i | \(-0.169278\pi\) |
−0.594401 | + | 0.804169i | \(0.702611\pi\) | |||||||
\(108\) | 0.538883 | − | 5.12713i | 0.0518540 | − | 0.493358i | ||||
\(109\) | 1.95560i | 0.187312i | 0.995605 | + | 0.0936562i | \(0.0298555\pi\) | ||||
−0.995605 | + | 0.0936562i | \(0.970145\pi\) | |||||||
\(110\) | −6.20573 | − | 6.20166i | −0.591694 | − | 0.591305i | ||||
\(111\) | −3.71610 | + | 2.14549i | −0.352716 | + | 0.203641i | ||||
\(112\) | −17.3175 | + | 23.8354i | −1.63635 | + | 2.25224i | ||||
\(113\) | −0.650224 | + | 0.138209i | −0.0611679 | + | 0.0130016i | −0.238394 | − | 0.971169i | \(-0.576621\pi\) |
0.177226 | + | 0.984170i | \(0.443288\pi\) | |||||||
\(114\) | −11.5043 | − | 2.44531i | −1.07747 | − | 0.229024i | ||||
\(115\) | −5.07970 | + | 0.533898i | −0.473684 | + | 0.0497862i | ||||
\(116\) | −43.6160 | + | 31.6889i | −4.04965 | + | 2.94224i | ||||
\(117\) | 2.89060 | + | 2.15509i | 0.267236 | + | 0.199238i | ||||
\(118\) | −2.62192 | + | 8.06945i | −0.241368 | + | 0.742853i | ||||
\(119\) | −2.66178 | − | 5.97845i | −0.244005 | − | 0.548044i | ||||
\(120\) | 4.17340 | − | 7.22853i | 0.380977 | − | 0.659872i | ||||
\(121\) | −9.52989 | − | 5.49374i | −0.866354 | − | 0.499431i | ||||
\(122\) | 19.9527i | 1.80644i | ||||||||
\(123\) | 3.80103 | + | 0.399505i | 0.342728 | + | 0.0360221i | ||||
\(124\) | −0.275768 | − | 1.29739i | −0.0247647 | − | 0.116509i | ||||
\(125\) | 8.48527 | − | 2.75703i | 0.758946 | − | 0.246596i | ||||
\(126\) | 5.86907 | + | 2.61308i | 0.522859 | + | 0.232792i | ||||
\(127\) | −1.72487 | − | 16.4111i | −0.153058 | − | 1.45625i | −0.753958 | − | 0.656923i | \(-0.771858\pi\) |
0.600900 | − | 0.799324i | \(-0.294809\pi\) | |||||||
\(128\) | −3.43317 | + | 16.1518i | −0.303452 | + | 1.42763i | ||||
\(129\) | 1.76837 | − | 5.44247i | 0.155696 | − | 0.479183i | ||||
\(130\) | 4.66663 | + | 8.31800i | 0.409290 | + | 0.729537i | ||||
\(131\) | 18.9288 | 1.65382 | 0.826909 | − | 0.562335i | \(-0.190097\pi\) | ||||
0.826909 | + | 0.562335i | \(0.190097\pi\) | |||||||
\(132\) | 4.41997 | − | 16.5173i | 0.384709 | − | 1.43764i | ||||
\(133\) | 5.27998 | − | 9.14519i | 0.457832 | − | 0.792989i | ||||
\(134\) | −1.82269 | + | 17.3417i | −0.157456 | + | 1.49810i | ||||
\(135\) | −0.940501 | − | 0.305587i | −0.0809455 | − | 0.0263008i | ||||
\(136\) | −17.0913 | − | 15.3891i | −1.46557 | − | 1.31960i | ||||
\(137\) | 0.799845 | − | 1.79648i | 0.0683354 | − | 0.153484i | −0.876149 | − | 0.482041i | \(-0.839896\pi\) |
0.944484 | + | 0.328557i | \(0.106562\pi\) | |||||||
\(138\) | −8.12092 | − | 11.1775i | −0.691299 | − | 0.951491i | ||||
\(139\) | −11.5248 | + | 12.7996i | −0.977519 | + | 1.08564i | 0.0187916 | + | 0.999823i | \(0.494018\pi\) |
−0.996311 | + | 0.0858213i | \(0.972649\pi\) | |||||||
\(140\) | 8.19308 | + | 9.09934i | 0.692442 | + | 0.769034i | ||||
\(141\) | 2.61921 | + | 5.88283i | 0.220577 | + | 0.495424i | ||||
\(142\) | 36.3822 | 3.05313 | ||||||||
\(143\) | 8.35369 | + | 8.55663i | 0.698571 | + | 0.715541i | ||||
\(144\) | 12.2671 | 1.02226 | ||||||||
\(145\) | 4.20625 | + | 9.44739i | 0.349310 | + | 0.784563i | ||||
\(146\) | −15.4824 | − | 17.1950i | −1.28134 | − | 1.42307i | ||||
\(147\) | 0.824177 | − | 0.915341i | 0.0679770 | − | 0.0754961i | ||||
\(148\) | −13.0027 | − | 17.8967i | −1.06882 | − | 1.47110i | ||||
\(149\) | −6.85933 | + | 15.4063i | −0.561939 | + | 1.26213i | 0.379575 | + | 0.925161i | \(0.376070\pi\) |
−0.941514 | + | 0.336974i | \(0.890597\pi\) | |||||||
\(150\) | 7.99539 | + | 7.19908i | 0.652821 | + | 0.587802i | ||||
\(151\) | −5.89696 | − | 1.91604i | −0.479888 | − | 0.155925i | 0.0590769 | − | 0.998253i | \(-0.481184\pi\) |
−0.538964 | + | 0.842329i | \(0.681184\pi\) | |||||||
\(152\) | 3.87918 | − | 36.9079i | 0.314643 | − | 2.99363i | ||||
\(153\) | −1.36240 | + | 2.35975i | −0.110144 | + | 0.190774i | ||||
\(154\) | 17.8739 | + | 11.5991i | 1.44032 | + | 0.934683i | ||||
\(155\) | −0.254424 | −0.0204358 | ||||||||
\(156\) | −9.49173 | + | 15.9818i | −0.759946 | + | 1.27957i | ||||
\(157\) | 5.24226 | − | 16.1340i | 0.418378 | − | 1.28763i | −0.490817 | − | 0.871263i | \(-0.663302\pi\) |
0.909195 | − | 0.416371i | \(-0.136698\pi\) | |||||||
\(158\) | −1.42825 | + | 6.71941i | −0.113626 | + | 0.534567i | ||||
\(159\) | −1.29670 | − | 12.3373i | −0.102835 | − | 0.978408i | ||||
\(160\) | 14.3940 | + | 6.40861i | 1.13794 | + | 0.506645i | ||||
\(161\) | 11.7978 | − | 3.83333i | 0.929795 | − | 0.302109i | ||||
\(162\) | −0.556154 | − | 2.61650i | −0.0436956 | − | 0.205572i | ||||
\(163\) | 0.535041 | + | 0.0562351i | 0.0419077 | + | 0.00440467i | 0.125459 | − | 0.992099i | \(-0.459960\pi\) |
−0.0835514 | + | 0.996503i | \(0.526626\pi\) | |||||||
\(164\) | 19.7037i | 1.53860i | ||||||||
\(165\) | −2.92283 | − | 1.48804i | −0.227542 | − | 0.115844i | ||||
\(166\) | 3.99093 | − | 6.91250i | 0.309756 | − | 0.536514i | ||||
\(167\) | 3.26664 | + | 7.33698i | 0.252780 | + | 0.567753i | 0.994710 | − | 0.102724i | \(-0.0327560\pi\) |
−0.741930 | + | 0.670477i | \(0.766089\pi\) | |||||||
\(168\) | −6.26430 | + | 19.2795i | −0.483301 | + | 1.48745i | ||||
\(169\) | −6.22045 | − | 11.4152i | −0.478496 | − | 0.878090i | ||||
\(170\) | −5.83125 | + | 4.23665i | −0.447237 | + | 0.324937i | ||||
\(171\) | −4.37273 | + | 0.459593i | −0.334391 | + | 0.0351459i | ||||
\(172\) | 28.8572 | + | 6.13378i | 2.20034 | + | 0.467697i | ||||
\(173\) | 6.08937 | − | 1.29434i | 0.462966 | − | 0.0984065i | 0.0294774 | − | 0.999565i | \(-0.490616\pi\) |
0.433489 | + | 0.901159i | \(0.357282\pi\) | |||||||
\(174\) | −16.4423 | + | 22.6309i | −1.24649 | + | 1.71565i | ||||
\(175\) | −8.36573 | + | 4.82996i | −0.632390 | + | 0.365111i | ||||
\(176\) | 40.1866 | + | 6.35139i | 3.02918 | + | 0.478754i | ||||
\(177\) | 3.17192i | 0.238416i | ||||||||
\(178\) | 3.79962 | − | 36.1510i | 0.284794 | − | 2.70963i | ||||
\(179\) | −10.5640 | − | 11.7325i | −0.789591 | − | 0.876929i | 0.205216 | − | 0.978717i | \(-0.434210\pi\) |
−0.994806 | + | 0.101788i | \(0.967544\pi\) | |||||||
\(180\) | 1.05997 | − | 4.98675i | 0.0790052 | − | 0.371690i | ||||
\(181\) | 14.6290 | − | 10.6286i | 1.08737 | − | 0.790018i | 0.108414 | − | 0.994106i | \(-0.465423\pi\) |
0.978953 | + | 0.204088i | \(0.0654227\pi\) | |||||||
\(182\) | −15.2863 | − | 17.4039i | −1.13309 | − | 1.29006i | ||||
\(183\) | 2.30499 | + | 7.09402i | 0.170390 | + | 0.524405i | ||||
\(184\) | 32.3974 | − | 29.1708i | 2.38837 | − | 2.15050i | ||||
\(185\) | −3.87650 | + | 1.72593i | −0.285006 | + | 0.126893i | ||||
\(186\) | −0.344105 | − | 0.596007i | −0.0252310 | − | 0.0437014i | ||||
\(187\) | −5.68496 | + | 7.02506i | −0.415725 | + | 0.513723i | ||||
\(188\) | −28.7506 | + | 16.5992i | −2.09685 | + | 1.21062i | ||||
\(189\) | 2.38857 | + | 0.251049i | 0.173743 | + | 0.0182611i | ||||
\(190\) | −11.0615 | − | 3.59410i | −0.802486 | − | 0.260743i | ||||
\(191\) | 7.04025 | − | 7.81899i | 0.509415 | − | 0.565762i | −0.432492 | − | 0.901638i | \(-0.642366\pi\) |
0.941906 | + | 0.335876i | \(0.109032\pi\) | |||||||
\(192\) | 1.89048 | + | 17.9867i | 0.136434 | + | 1.29808i | ||||
\(193\) | 17.9849 | − | 1.89029i | 1.29458 | − | 0.136066i | 0.567933 | − | 0.823074i | \(-0.307743\pi\) |
0.726650 | + | 0.687008i | \(0.241076\pi\) | |||||||
\(194\) | −6.37587 | − | 19.6229i | −0.457761 | − | 1.40884i | ||||
\(195\) | 2.62009 | + | 2.41829i | 0.187629 | + | 0.173178i | ||||
\(196\) | 5.13721 | + | 3.73240i | 0.366943 | + | 0.266600i | ||||
\(197\) | −0.633336 | − | 0.365657i | −0.0451233 | − | 0.0260520i | 0.477269 | − | 0.878757i | \(-0.341627\pi\) |
−0.522392 | + | 0.852705i | \(0.674960\pi\) | |||||||
\(198\) | −0.467227 | − | 8.85950i | −0.0332044 | − | 0.629617i | ||||
\(199\) | −11.2968 | − | 19.5666i | −0.800809 | − | 1.38704i | −0.919084 | − | 0.394061i | \(-0.871070\pi\) |
0.118275 | − | 0.992981i | \(-0.462264\pi\) | |||||||
\(200\) | −19.9542 | + | 27.4647i | −1.41098 | + | 1.94204i | ||||
\(201\) | 1.35532 | + | 6.37627i | 0.0955967 | + | 0.449747i | ||||
\(202\) | 19.4766 | + | 17.5368i | 1.37037 | + | 1.23389i | ||||
\(203\) | −14.7629 | − | 20.3193i | −1.03615 | − | 1.42614i | ||||
\(204\) | −12.8329 | − | 5.71358i | −0.898484 | − | 0.400031i | ||||
\(205\) | 3.69696 | + | 0.785813i | 0.258207 | + | 0.0548836i | ||||
\(206\) | −23.3905 | + | 21.0609i | −1.62970 | + | 1.46738i | ||||
\(207\) | −4.17857 | − | 3.03591i | −0.290431 | − | 0.211010i | ||||
\(208\) | −40.1810 | − | 18.4866i | −2.78605 | − | 1.28181i | ||||
\(209\) | −14.5629 | − | 0.758408i | −1.00733 | − | 0.0524602i | ||||
\(210\) | 5.50203 | + | 3.17660i | 0.379676 | + | 0.219206i | ||||
\(211\) | −3.65201 | + | 1.62598i | −0.251415 | + | 0.111937i | −0.528575 | − | 0.848887i | \(-0.677273\pi\) |
0.277160 | + | 0.960824i | \(0.410607\pi\) | |||||||
\(212\) | 62.5559 | − | 13.2967i | 4.29636 | − | 0.913219i | ||||
\(213\) | 12.9354 | − | 4.20296i | 0.886318 | − | 0.287982i | ||||
\(214\) | −4.49908 | + | 10.1051i | −0.307551 | + | 0.690771i | ||||
\(215\) | 2.30174 | − | 5.16979i | 0.156977 | − | 0.352577i | ||||
\(216\) | 8.02736 | − | 2.60825i | 0.546193 | − | 0.177469i | ||||
\(217\) | 0.604411 | − | 0.128472i | 0.0410301 | − | 0.00872122i | ||||
\(218\) | −4.77888 | + | 2.12769i | −0.323667 | + | 0.144106i | ||||
\(219\) | −7.49106 | − | 4.32496i | −0.506199 | − | 0.292254i | ||||
\(220\) | 6.05433 | − | 15.7876i | 0.408183 | − | 1.06440i | ||||
\(221\) | 8.01871 | − | 5.67622i | 0.539397 | − | 0.381824i | ||||
\(222\) | −9.28603 | − | 6.74670i | −0.623238 | − | 0.452809i | ||||
\(223\) | −20.5053 | + | 18.4630i | −1.37313 | + | 1.23637i | −0.430481 | + | 0.902600i | \(0.641656\pi\) |
−0.942653 | + | 0.333775i | \(0.891677\pi\) | |||||||
\(224\) | −37.4304 | − | 7.95609i | −2.50093 | − | 0.531588i | ||||
\(225\) | 3.67435 | + | 1.63592i | 0.244956 | + | 0.109062i | ||||
\(226\) | −1.04519 | − | 1.43857i | −0.0695247 | − | 0.0956925i | ||||
\(227\) | −16.0029 | − | 14.4091i | −1.06215 | − | 0.956367i | −0.0630206 | − | 0.998012i | \(-0.520073\pi\) |
−0.999132 | + | 0.0416453i | \(0.986740\pi\) | |||||||
\(228\) | −4.71278 | − | 22.1719i | −0.312112 | − | 1.46837i | ||||
\(229\) | 0.138399 | − | 0.190489i | 0.00914564 | − | 0.0125879i | −0.804420 | − | 0.594061i | \(-0.797524\pi\) |
0.813565 | + | 0.581474i | \(0.197524\pi\) | |||||||
\(230\) | −6.83140 | − | 11.8323i | −0.450449 | − | 0.780201i | ||||
\(231\) | 7.69488 | + | 2.05913i | 0.506286 | + | 0.135481i | ||||
\(232\) | −76.4408 | − | 44.1331i | −5.01859 | − | 2.89748i | ||||
\(233\) | −0.184685 | − | 0.134181i | −0.0120991 | − | 0.00879052i | 0.581719 | − | 0.813390i | \(-0.302380\pi\) |
−0.593818 | + | 0.804599i | \(0.702380\pi\) | |||||||
\(234\) | −2.12139 | + | 9.40848i | −0.138680 | + | 0.615052i | ||||
\(235\) | 1.96785 | + | 6.05642i | 0.128368 | + | 0.395077i | ||||
\(236\) | −16.2628 | + | 1.70929i | −1.05862 | + | 0.111265i | ||||
\(237\) | 0.268439 | + | 2.55402i | 0.0174370 | + | 0.165902i | ||||
\(238\) | 11.7135 | − | 13.0091i | 0.759272 | − | 0.843257i | ||||
\(239\) | 27.8340 | + | 9.04382i | 1.80043 | + | 0.584996i | 0.999898 | − | 0.0142895i | \(-0.00454863\pi\) |
0.800535 | + | 0.599286i | \(0.204549\pi\) | |||||||
\(240\) | 12.0645 | + | 1.26803i | 0.778760 | + | 0.0818510i | ||||
\(241\) | −0.213728 | + | 0.123396i | −0.0137674 | + | 0.00794862i | −0.506868 | − | 0.862024i | \(-0.669197\pi\) |
0.493100 | + | 0.869972i | \(0.335863\pi\) | |||||||
\(242\) | 3.05646 | − | 29.2653i | 0.196477 | − | 1.88124i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −35.1298 | + | 15.6408i | −2.24896 | + | 1.00130i | ||||
\(245\) | 0.905183 | − | 0.815030i | 0.0578300 | − | 0.0520704i | ||||
\(246\) | 3.15926 | + | 9.72321i | 0.201427 | + | 0.619929i | ||||
\(247\) | 15.0155 | + | 5.08434i | 0.955415 | + | 0.323509i | ||||
\(248\) | 1.75683 | − | 1.27641i | 0.111559 | − | 0.0810520i | ||||
\(249\) | 0.620393 | − | 2.91872i | 0.0393158 | − | 0.184966i | ||||
\(250\) | 15.9693 | + | 17.7357i | 1.00999 | + | 1.12171i | ||||
\(251\) | 0.631358 | − | 6.00697i | 0.0398510 | − | 0.379157i | −0.956360 | − | 0.292190i | \(-0.905616\pi\) |
0.996211 | − | 0.0869666i | \(-0.0277173\pi\) | |||||||
\(252\) | 12.3818i | 0.779979i | ||||||||
\(253\) | −12.1170 | − | 12.1090i | −0.761788 | − | 0.761288i | ||||
\(254\) | 38.2269 | − | 22.0703i | 2.39857 | − | 1.38482i | ||||
\(255\) | −1.58382 | + | 2.17995i | −0.0991829 | + | 0.136514i | ||||
\(256\) | −7.82411 | + | 1.66307i | −0.489007 | + | 0.103942i | ||||
\(257\) | −19.9016 | − | 4.23021i | −1.24143 | − | 0.263873i | −0.460027 | − | 0.887905i | \(-0.652160\pi\) |
−0.781399 | + | 0.624032i | \(0.785494\pi\) | |||||||
\(258\) | 15.2237 | − | 1.60007i | 0.947786 | − | 0.0996163i | ||||
\(259\) | 8.33753 | − | 6.05757i | 0.518069 | − | 0.376399i | ||||
\(260\) | −10.9870 | + | 14.7367i | −0.681384 | + | 0.913934i | ||||
\(261\) | −3.23155 | + | 9.94569i | −0.200028 | + | 0.615623i | ||||
\(262\) | 20.5946 | + | 46.2562i | 1.27234 | + | 2.85772i | ||||
\(263\) | −1.42473 | + | 2.46770i | −0.0878524 | + | 0.152165i | −0.906603 | − | 0.421984i | \(-0.861334\pi\) |
0.818751 | + | 0.574149i | \(0.194667\pi\) | |||||||
\(264\) | 27.6478 | − | 4.38829i | 1.70160 | − | 0.270081i | ||||
\(265\) | − | 12.2675i | − | 0.753588i | ||||||
\(266\) | 28.0926 | + | 2.95266i | 1.72247 | + | 0.181039i | ||||
\(267\) | −2.82533 | − | 13.2921i | −0.172907 | − | 0.813465i | ||||
\(268\) | −31.9616 | + | 10.3849i | −1.95236 | + | 0.634362i | ||||
\(269\) | 24.3721 | + | 10.8511i | 1.48599 | + | 0.661605i | 0.979647 | − | 0.200727i | \(-0.0643303\pi\) |
0.506343 | + | 0.862332i | \(0.330997\pi\) | |||||||
\(270\) | −0.276505 | − | 2.63077i | −0.0168276 | − | 0.160104i | ||||
\(271\) | 1.47240 | − | 6.92710i | 0.0894420 | − | 0.420791i | −0.910531 | − | 0.413441i | \(-0.864327\pi\) |
0.999973 | − | 0.00735066i | \(-0.00233981\pi\) | |||||||
\(272\) | 10.3290 | − | 31.7895i | 0.626290 | − | 1.92752i | ||||
\(273\) | −7.44544 | − | 4.42190i | −0.450618 | − | 0.267625i | ||||
\(274\) | 5.26028 | 0.317785 | ||||||||
\(275\) | 11.1900 | + | 7.26165i | 0.674783 | + | 0.437894i | ||||
\(276\) | 13.3138 | − | 23.0601i | 0.801394 | − | 1.38805i | ||||
\(277\) | 2.65559 | − | 25.2663i | 0.159559 | − | 1.51810i | −0.562805 | − | 0.826589i | \(-0.690278\pi\) |
0.722364 | − | 0.691513i | \(-0.243055\pi\) | |||||||
\(278\) | −43.8171 | − | 14.2371i | −2.62798 | − | 0.853882i | ||||
\(279\) | −0.191196 | − | 0.172153i | −0.0114466 | − | 0.0103066i | ||||
\(280\) | −8.15373 | + | 18.3136i | −0.487278 | + | 1.09445i | ||||
\(281\) | 2.18032 | + | 3.00095i | 0.130067 | + | 0.179022i | 0.869083 | − | 0.494666i | \(-0.164709\pi\) |
−0.739016 | + | 0.673687i | \(0.764709\pi\) | |||||||
\(282\) | −11.5261 | + | 12.8011i | −0.686371 | + | 0.762292i | ||||
\(283\) | −4.90256 | − | 5.44485i | −0.291427 | − | 0.323663i | 0.579597 | − | 0.814904i | \(-0.303210\pi\) |
−0.871024 | + | 0.491241i | \(0.836543\pi\) | |||||||
\(284\) | 28.5198 | + | 64.0565i | 1.69234 | + | 3.80105i | ||||
\(285\) | −4.34802 | −0.257555 | ||||||||
\(286\) | −11.8209 | + | 29.7235i | −0.698986 | + | 1.75758i | ||||
\(287\) | −9.17932 | −0.541838 | ||||||||
\(288\) | 6.48053 | + | 14.5555i | 0.381869 | + | 0.857692i | ||||
\(289\) | −6.40722 | − | 7.11594i | −0.376895 | − | 0.418585i | ||||
\(290\) | −18.5101 | + | 20.5575i | −1.08695 | + | 1.20718i | ||||
\(291\) | −4.53377 | − | 6.24021i | −0.265775 | − | 0.365807i | ||||
\(292\) | 18.1378 | − | 40.7383i | 1.06144 | − | 2.38403i | ||||
\(293\) | −3.94880 | − | 3.55552i | −0.230691 | − | 0.207715i | 0.545676 | − | 0.837996i | \(-0.316273\pi\) |
−0.776367 | + | 0.630281i | \(0.782940\pi\) | |||||||
\(294\) | 3.13352 | + | 1.01814i | 0.182750 | + | 0.0593792i | ||||
\(295\) | −0.327876 | + | 3.11953i | −0.0190897 | + | 0.181626i | ||||
\(296\) | 18.1089 | − | 31.3656i | 1.05256 | − | 1.82309i | ||||
\(297\) | −1.18959 | − | 3.09595i | −0.0690270 | − | 0.179645i | ||||
\(298\) | −45.1112 | −2.61322 | ||||||||
\(299\) | 9.11180 | + | 16.2413i | 0.526949 | + | 0.939258i | ||||
\(300\) | −6.40755 | + | 19.7204i | −0.369940 | + | 1.13856i | ||||
\(301\) | −2.85754 | + | 13.4437i | −0.164706 | + | 0.774880i | ||||
\(302\) | −1.73369 | − | 16.4950i | −0.0997628 | − | 0.949180i | ||||
\(303\) | 8.95065 | + | 3.98509i | 0.514202 | + | 0.228937i | ||||
\(304\) | 51.2964 | − | 16.6672i | 2.94205 | − | 0.955931i | ||||
\(305\) | 1.53362 | + | 7.21512i | 0.0878149 | + | 0.413137i | ||||
\(306\) | −7.24879 | − | 0.761879i | −0.414386 | − | 0.0435537i | ||||
\(307\) | − | 3.26552i | − | 0.186373i | −0.995649 | − | 0.0931865i | \(-0.970295\pi\) | ||
0.995649 | − | 0.0931865i | \(-0.0297053\pi\) | |||||||
\(308\) | −6.41077 | + | 40.5623i | −0.365287 | + | 2.31125i | ||||
\(309\) | −5.88329 | + | 10.1902i | −0.334689 | + | 0.579698i | ||||
\(310\) | −0.276813 | − | 0.621733i | −0.0157219 | − | 0.0353121i | ||||
\(311\) | −8.14955 | + | 25.0817i | −0.462119 | + | 1.42226i | 0.400451 | + | 0.916318i | \(0.368853\pi\) |
−0.862570 | + | 0.505938i | \(0.831147\pi\) | |||||||
\(312\) | −30.2243 | − | 3.55395i | −1.71111 | − | 0.201203i | ||||
\(313\) | −11.6916 | + | 8.49443i | −0.660847 | + | 0.480133i | −0.866949 | − | 0.498397i | \(-0.833922\pi\) |
0.206102 | + | 0.978531i | \(0.433922\pi\) | |||||||
\(314\) | 45.1301 | − | 4.74337i | 2.54684 | − | 0.267684i | ||||
\(315\) | 2.32317 | + | 0.493805i | 0.130896 | + | 0.0278228i | ||||
\(316\) | −12.9502 | + | 2.75264i | −0.728503 | + | 0.154848i | ||||
\(317\) | 3.51417 | − | 4.83684i | 0.197375 | − | 0.271664i | −0.698845 | − | 0.715273i | \(-0.746302\pi\) |
0.896220 | + | 0.443609i | \(0.146302\pi\) | |||||||
\(318\) | 28.7376 | − | 16.5917i | 1.61153 | − | 0.930415i | ||||
\(319\) | −15.7359 | + | 30.9085i | −0.881041 | + | 1.73055i | ||||
\(320\) | 17.8851i | 0.999805i | ||||||||
\(321\) | −0.432244 | + | 4.11253i | −0.0241255 | + | 0.229539i | ||||
\(322\) | 22.2035 | + | 24.6595i | 1.23735 | + | 1.37422i | ||||
\(323\) | −2.49088 | + | 11.7187i | −0.138596 | + | 0.652044i | ||||
\(324\) | 4.17078 | − | 3.03025i | 0.231710 | − | 0.168347i | ||||
\(325\) | −9.56999 | − | 10.8957i | −0.530848 | − | 0.604387i | ||||
\(326\) | 0.444704 | + | 1.36866i | 0.0246299 | + | 0.0758030i | ||||
\(327\) | −1.45329 | + | 1.30855i | −0.0803673 | + | 0.0723630i | ||||
\(328\) | −29.4703 | + | 13.1210i | −1.62722 | + | 0.724486i | ||||
\(329\) | −7.73303 | − | 13.3940i | −0.426336 | − | 0.738436i | ||||
\(330\) | 0.456282 | − | 8.76148i | 0.0251175 | − | 0.482303i | ||||
\(331\) | −23.6406 | + | 13.6489i | −1.29940 | + | 0.750212i | −0.980301 | − | 0.197508i | \(-0.936715\pi\) |
−0.319103 | + | 0.947720i | \(0.603382\pi\) | |||||||
\(332\) | 15.2990 | + | 1.60799i | 0.839640 | + | 0.0882498i | ||||
\(333\) | −4.08096 | − | 1.32599i | −0.223635 | − | 0.0726636i | ||||
\(334\) | −14.3752 | + | 15.9653i | −0.786577 | + | 0.873582i | ||||
\(335\) | 0.673829 | + | 6.41105i | 0.0368152 | + | 0.350273i | ||||
\(336\) | −29.3008 | + | 3.07964i | −1.59849 | + | 0.168008i | ||||
\(337\) | 4.28118 | + | 13.1761i | 0.233211 | + | 0.717749i | 0.997354 | + | 0.0727018i | \(0.0231621\pi\) |
−0.764143 | + | 0.645047i | \(0.776838\pi\) | |||||||
\(338\) | 21.1273 | − | 27.6206i | 1.14917 | − | 1.50236i | ||||
\(339\) | −0.537794 | − | 0.390730i | −0.0292090 | − | 0.0212216i | ||||
\(340\) | −12.0304 | − | 6.94573i | −0.652438 | − | 0.376685i | ||||
\(341\) | −0.537216 | − | 0.662961i | −0.0290919 | − | 0.0359013i | ||||
\(342\) | −5.88064 | − | 10.1856i | −0.317989 | − | 0.550773i | ||||
\(343\) | −11.6207 | + | 15.9945i | −0.627459 | + | 0.863623i | ||||
\(344\) | 10.0423 | + | 47.2455i | 0.541447 | + | 2.54731i | ||||
\(345\) | −3.79575 | − | 3.41770i | −0.204356 | − | 0.184003i | ||||
\(346\) | 9.78820 | + | 13.4723i | 0.526217 | + | 0.724275i | ||||
\(347\) | −13.7247 | − | 6.11063i | −0.736780 | − | 0.328036i | 0.00380999 | − | 0.999993i | \(-0.498787\pi\) |
−0.740590 | + | 0.671957i | \(0.765454\pi\) | |||||||
\(348\) | −52.7342 | − | 11.2090i | −2.82685 | − | 0.600866i | ||||
\(349\) | −11.5342 | + | 10.3855i | −0.617414 | + | 0.555922i | −0.917372 | − | 0.398030i | \(-0.869694\pi\) |
0.299958 | + | 0.953952i | \(0.403027\pi\) | |||||||
\(350\) | −20.9049 | − | 15.1883i | −1.11741 | − | 0.811847i | ||||
\(351\) | 0.332647 | + | 3.59017i | 0.0177554 | + | 0.191629i | ||||
\(352\) | 13.6937 | + | 51.0386i | 0.729879 | + | 2.72037i | ||||
\(353\) | −0.336191 | − | 0.194100i | −0.0178936 | − | 0.0103309i | 0.491027 | − | 0.871145i | \(-0.336622\pi\) |
−0.508920 | + | 0.860814i | \(0.669955\pi\) | |||||||
\(354\) | −7.75118 | + | 3.45105i | −0.411971 | + | 0.183421i | ||||
\(355\) | 13.1562 | − | 2.79644i | 0.698259 | − | 0.148420i | ||||
\(356\) | 66.6279 | − | 21.6487i | 3.53127 | − | 1.14738i | ||||
\(357\) | 2.66178 | − | 5.97845i | 0.140876 | − | 0.316413i | ||||
\(358\) | 17.1770 | − | 38.5801i | 0.907832 | − | 2.03902i | ||||
\(359\) | −9.20842 | + | 2.99200i | −0.486002 | + | 0.157912i | −0.541761 | − | 0.840533i | \(-0.682242\pi\) |
0.0557591 | + | 0.998444i | \(0.482242\pi\) | |||||||
\(360\) | 8.16439 | − | 1.73540i | 0.430301 | − | 0.0914634i | ||||
\(361\) | −0.303324 | + | 0.135049i | −0.0159644 | + | 0.00710783i | ||||
\(362\) | 41.8894 | + | 24.1849i | 2.20166 | + | 1.27113i | ||||
\(363\) | −2.29410 | − | 10.7581i | −0.120409 | − | 0.564655i | ||||
\(364\) | 18.6594 | − | 40.5566i | 0.978020 | − | 2.12574i | ||||
\(365\) | −6.92027 | − | 5.02787i | −0.362224 | − | 0.263171i | ||||
\(366\) | −14.8278 | + | 13.3510i | −0.775060 | + | 0.697867i | ||||
\(367\) | −13.8474 | − | 2.94335i | −0.722826 | − | 0.153641i | −0.168214 | − | 0.985751i | \(-0.553800\pi\) |
−0.554612 | + | 0.832109i | \(0.687133\pi\) | |||||||
\(368\) | 57.8819 | + | 25.7707i | 3.01730 | + | 1.34339i | ||||
\(369\) | 2.24650 | + | 3.09204i | 0.116948 | + | 0.160965i | ||||
\(370\) | −8.43527 | − | 7.59515i | −0.438529 | − | 0.394853i | ||||
\(371\) | 6.19450 | + | 29.1428i | 0.321602 | + | 1.51302i | ||||
\(372\) | 0.779620 | − | 1.07306i | 0.0404214 | − | 0.0556353i | ||||
\(373\) | 2.39579 | + | 4.14963i | 0.124049 | + | 0.214860i | 0.921361 | − | 0.388708i | \(-0.127079\pi\) |
−0.797312 | + | 0.603568i | \(0.793745\pi\) | |||||||
\(374\) | −23.3523 | − | 6.24900i | −1.20752 | − | 0.323128i | ||||
\(375\) | 7.72663 | + | 4.46097i | 0.399001 | + | 0.230364i | ||||
\(376\) | −43.9724 | − | 31.9478i | −2.26771 | − | 1.64758i | ||||
\(377\) | 25.5732 | − | 27.7072i | 1.31708 | − | 1.42699i | ||||
\(378\) | 1.98528 | + | 6.11006i | 0.102112 | + | 0.314268i | ||||
\(379\) | 21.4276 | − | 2.25214i | 1.10066 | − | 0.115684i | 0.463266 | − | 0.886219i | \(-0.346677\pi\) |
0.637398 | + | 0.770535i | \(0.280011\pi\) | |||||||
\(380\) | −2.34308 | − | 22.2929i | −0.120197 | − | 1.14360i | ||||
\(381\) | 11.0416 | − | 12.2630i | 0.565680 | − | 0.628252i | ||||
\(382\) | 26.7670 | + | 8.69712i | 1.36952 | + | 0.444983i | ||||
\(383\) | −22.9927 | − | 2.41663i | −1.17487 | − | 0.123484i | −0.503090 | − | 0.864234i | \(-0.667803\pi\) |
−0.671780 | + | 0.740750i | \(0.734470\pi\) | |||||||
\(384\) | −14.3003 | + | 8.25631i | −0.729761 | + | 0.421328i | ||||
\(385\) | 7.35494 | + | 2.82053i | 0.374843 | + | 0.143747i | ||||
\(386\) | 24.1869 | + | 41.8929i | 1.23108 | + | 2.13229i | ||||
\(387\) | 5.22781 | − | 2.32757i | 0.265745 | − | 0.118317i | ||||
\(388\) | 29.5512 | − | 26.6080i | 1.50023 | − | 1.35082i | ||||
\(389\) | 7.05552 | + | 21.7147i | 0.357729 | + | 1.10098i | 0.954410 | + | 0.298499i | \(0.0964859\pi\) |
−0.596681 | + | 0.802479i | \(0.703514\pi\) | |||||||
\(390\) | −3.05890 | + | 9.03381i | −0.154893 | + | 0.457445i | ||||
\(391\) | −11.3858 | + | 8.27227i | −0.575804 | + | 0.418346i | ||||
\(392\) | −2.16150 | + | 10.1691i | −0.109172 | + | 0.513615i | ||||
\(393\) | 12.6659 | + | 14.0669i | 0.638908 | + | 0.709579i | ||||
\(394\) | 0.204482 | − | 1.94551i | 0.0103016 | − | 0.0980135i | ||||
\(395\) | 2.53959i | 0.127781i | ||||||||
\(396\) | 15.2323 | − | 7.76753i | 0.765450 | − | 0.390333i | ||||
\(397\) | −26.6623 | + | 15.3935i | −1.33814 | + | 0.772577i | −0.986532 | − | 0.163570i | \(-0.947699\pi\) |
−0.351610 | + | 0.936146i | \(0.614366\pi\) | |||||||
\(398\) | 35.5239 | − | 48.8944i | 1.78065 | − | 2.45086i | ||||
\(399\) | 10.3292 | − | 2.19554i | 0.517107 | − | 0.109914i | ||||
\(400\) | −48.2610 | − | 10.2582i | −2.41305 | − | 0.512910i | ||||
\(401\) | 3.75576 | − | 0.394746i | 0.187554 | − | 0.0197127i | −0.0102859 | − | 0.999947i | \(-0.503274\pi\) |
0.197840 | + | 0.980234i | \(0.436607\pi\) | |||||||
\(402\) | −14.1070 | + | 10.2494i | −0.703595 | + | 0.511192i | ||||
\(403\) | 0.366826 | + | 0.852022i | 0.0182729 | + | 0.0424423i | ||||
\(404\) | −15.6087 | + | 48.0387i | −0.776562 | + | 2.39001i | ||||
\(405\) | −0.402223 | − | 0.903407i | −0.0199866 | − | 0.0448906i | ||||
\(406\) | 33.5922 | − | 58.1833i | 1.66715 | − | 2.88759i | ||||
\(407\) | −12.6825 | − | 6.45683i | −0.628650 | − | 0.320053i | ||||
\(408\) | − | 22.9986i | − | 1.13860i | ||||||
\(409\) | 33.8615 | + | 3.55899i | 1.67435 | + | 0.175981i | 0.893599 | − | 0.448867i | \(-0.148172\pi\) |
0.780747 | + | 0.624848i | \(0.214839\pi\) | |||||||
\(410\) | 2.10201 | + | 9.88919i | 0.103811 | + | 0.488392i | ||||
\(411\) | 1.87025 | − | 0.607680i | 0.0922525 | − | 0.0299746i | ||||
\(412\) | −55.4167 | − | 24.6731i | −2.73018 | − | 1.21556i | ||||
\(413\) | −0.796305 | − | 7.57634i | −0.0391836 | − | 0.372807i | ||||
\(414\) | 2.87254 | − | 13.5142i | 0.141177 | − | 0.664188i | ||||
\(415\) | 0.911850 | − | 2.80639i | 0.0447610 | − | 0.137760i | ||||
\(416\) | 0.708229 | − | 57.4428i | 0.0347238 | − | 2.81637i | ||||
\(417\) | −17.2235 | −0.843439 | ||||||||
\(418\) | −13.9911 | − | 36.4123i | −0.684327 | − | 1.78098i | ||||
\(419\) | −5.82246 | + | 10.0848i | −0.284446 | + | 0.492675i | −0.972475 | − | 0.233009i | \(-0.925143\pi\) |
0.688029 | + | 0.725683i | \(0.258476\pi\) | |||||||
\(420\) | −1.27988 | + | 12.1773i | −0.0624520 | + | 0.594191i | ||||
\(421\) | 15.0654 | + | 4.89504i | 0.734241 | + | 0.238569i | 0.652187 | − | 0.758058i | \(-0.273852\pi\) |
0.0820545 | + | 0.996628i | \(0.473852\pi\) | |||||||
\(422\) | −7.94679 | − | 7.15532i | −0.386844 | − | 0.348316i | ||||
\(423\) | −2.61921 | + | 5.88283i | −0.127350 | + | 0.286033i | ||||
\(424\) | 61.5445 | + | 84.7087i | 2.98886 | + | 4.11382i | ||||
\(425\) | 7.33324 | − | 8.14439i | 0.355715 | − | 0.395061i | ||||
\(426\) | 24.3445 | + | 27.0373i | 1.17949 | + | 1.30996i | ||||
\(427\) | −7.28657 | − | 16.3659i | −0.352622 | − | 0.792001i | ||||
\(428\) | −21.3184 | −1.03046 | ||||||||
\(429\) | −0.769101 | + | 11.9335i | −0.0371325 | + | 0.576155i | ||||
\(430\) | 15.1377 | 0.730003 | ||||||||
\(431\) | 12.0071 | + | 26.9685i | 0.578364 | + | 1.29903i | 0.931598 | + | 0.363491i | \(0.118415\pi\) |
−0.353234 | + | 0.935535i | \(0.614918\pi\) | |||||||
\(432\) | 8.20829 | + | 9.11623i | 0.394922 | + | 0.438605i | ||||
\(433\) | 10.8107 | − | 12.0065i | 0.519530 | − | 0.576997i | −0.425095 | − | 0.905149i | \(-0.639759\pi\) |
0.944625 | + | 0.328152i | \(0.106426\pi\) | |||||||
\(434\) | 0.971545 | + | 1.33722i | 0.0466356 | + | 0.0641885i | ||||
\(435\) | −4.20625 | + | 9.44739i | −0.201674 | + | 0.452967i | ||||
\(436\) | −7.49227 | − | 6.74607i | −0.358814 | − | 0.323078i | ||||
\(437\) | −21.5981 | − | 7.01765i | −1.03318 | − | 0.335700i | ||||
\(438\) | 2.41860 | − | 23.0114i | 0.115565 | − | 1.09953i | ||||
\(439\) | 8.25681 | − | 14.3012i | 0.394076 | − | 0.682560i | −0.598907 | − | 0.800819i | \(-0.704398\pi\) |
0.992983 | + | 0.118259i | \(0.0377313\pi\) | |||||||
\(440\) | 27.6448 | − | 1.45791i | 1.31791 | − | 0.0695032i | ||||
\(441\) | 1.23171 | 0.0586530 | ||||||||
\(442\) | 22.5953 | + | 13.4195i | 1.07475 | + | 0.638301i | ||||
\(443\) | −7.65225 | + | 23.5512i | −0.363569 | + | 1.11895i | 0.587303 | + | 0.809367i | \(0.300190\pi\) |
−0.950872 | + | 0.309584i | \(0.899810\pi\) | |||||||
\(444\) | 4.59934 | − | 21.6382i | 0.218275 | − | 1.02690i | ||||
\(445\) | −1.40468 | − | 13.3646i | −0.0665882 | − | 0.633545i | ||||
\(446\) | −67.4276 | − | 30.0207i | −3.19279 | − | 1.42152i | ||||
\(447\) | −16.0389 | + | 5.21136i | −0.758615 | + | 0.246489i | ||||
\(448\) | −9.03108 | − | 42.4879i | −0.426678 | − | 2.00736i | ||||
\(449\) | −33.5437 | − | 3.52559i | −1.58303 | − | 0.166383i | −0.728225 | − | 0.685338i | \(-0.759654\pi\) |
−0.854801 | + | 0.518955i | \(0.826321\pi\) | |||||||
\(450\) | 10.7589i | 0.507177i | ||||||||
\(451\) | 5.75851 | + | 11.2925i | 0.271158 | + | 0.531745i | ||||
\(452\) | 1.71352 | − | 2.96790i | 0.0805971 | − | 0.139598i | ||||
\(453\) | −2.52194 | − | 5.66437i | −0.118491 | − | 0.266135i | ||||
\(454\) | 17.8002 | − | 54.7834i | 0.835405 | − | 2.57111i | ||||
\(455\) | −6.86539 | − | 5.11849i | −0.321854 | − | 0.239959i | ||||
\(456\) | 30.0236 | − | 21.8134i | 1.40598 | − | 1.02151i | ||||
\(457\) | −8.87447 | + | 0.932744i | −0.415130 | + | 0.0436319i | −0.309792 | − | 0.950804i | \(-0.600259\pi\) |
−0.105338 | + | 0.994436i | \(0.533593\pi\) | |||||||
\(458\) | 0.616075 | + | 0.130951i | 0.0287873 | + | 0.00611893i | ||||
\(459\) | −2.66526 | + | 0.566519i | −0.124404 | + | 0.0264428i | ||||
\(460\) | 15.4775 | − | 21.3030i | 0.721644 | − | 0.993258i | ||||
\(461\) | −31.7983 | + | 18.3587i | −1.48099 | + | 0.855052i | −0.999768 | − | 0.0215454i | \(-0.993141\pi\) |
−0.481225 | + | 0.876597i | \(0.659808\pi\) | |||||||
\(462\) | 3.34017 | + | 21.0442i | 0.155399 | + | 0.979066i | ||||
\(463\) | 13.8331i | 0.642877i | 0.946930 | + | 0.321438i | \(0.104166\pi\) | ||||
−0.946930 | + | 0.321438i | \(0.895834\pi\) | |||||||
\(464\) | 13.4093 | − | 127.581i | 0.622510 | − | 5.92278i | ||||
\(465\) | −0.170243 | − | 0.189074i | −0.00789482 | − | 0.00876808i | ||||
\(466\) | 0.126961 | − | 0.597302i | 0.00588133 | − | 0.0276695i | ||||
\(467\) | 27.1084 | − | 19.6954i | 1.25443 | − | 0.911395i | 0.255957 | − | 0.966688i | \(-0.417609\pi\) |
0.998470 | + | 0.0552930i | \(0.0176093\pi\) | |||||||
\(468\) | −18.2280 | + | 3.64021i | −0.842591 | + | 0.168269i | ||||
\(469\) | −4.83802 | − | 14.8899i | −0.223399 | − | 0.687552i | ||||
\(470\) | −12.6590 | + | 11.3982i | −0.583916 | + | 0.525760i | ||||
\(471\) | 15.4977 | − | 6.90000i | 0.714094 | − | 0.317935i | ||||
\(472\) | −13.3862 | − | 23.1856i | −0.616151 | − | 1.06720i | ||||
\(473\) | 18.3312 | − | 4.91830i | 0.842871 | − | 0.226143i | ||||
\(474\) | −5.94918 | + | 3.43476i | −0.273255 | + | 0.157764i | ||||
\(475\) | 17.5875 | + | 1.84852i | 0.806968 | + | 0.0848158i | ||||
\(476\) | 32.0867 | + | 10.4256i | 1.47069 | + | 0.477856i | ||||
\(477\) | 8.30070 | − | 9.21887i | 0.380063 | − | 0.422103i | ||||
\(478\) | 8.18315 | + | 77.8574i | 0.374288 | + | 3.56112i | ||||
\(479\) | −8.88834 | + | 0.934202i | −0.406119 | + | 0.0426848i | −0.305386 | − | 0.952229i | \(-0.598785\pi\) |
−0.100733 | + | 0.994914i | \(0.532119\pi\) | |||||||
\(480\) | 4.86892 | + | 14.9850i | 0.222235 | + | 0.683968i | ||||
\(481\) | 11.3689 | + | 10.4933i | 0.518379 | + | 0.478454i | ||||
\(482\) | −0.534077 | − | 0.388030i | −0.0243265 | − | 0.0176743i | ||||
\(483\) | 10.7430 | + | 6.20246i | 0.488822 | + | 0.282222i | ||||
\(484\) | 53.9220 | − | 17.5595i | 2.45100 | − | 0.798160i | ||||
\(485\) | −3.81386 | − | 6.60579i | −0.173178 | − | 0.299954i | ||||
\(486\) | 1.57230 | − | 2.16408i | 0.0713209 | − | 0.0981648i | ||||
\(487\) | 2.95550 | + | 13.9045i | 0.133926 | + | 0.630074i | 0.992989 | + | 0.118204i | \(0.0377137\pi\) |
−0.859063 | + | 0.511870i | \(0.828953\pi\) | |||||||
\(488\) | −46.7871 | − | 42.1273i | −2.11795 | − | 1.90701i | ||||
\(489\) | 0.316222 | + | 0.435242i | 0.0143000 | + | 0.0196823i | ||||
\(490\) | 2.97652 | + | 1.32523i | 0.134466 | + | 0.0598679i | ||||
\(491\) | 29.0834 | + | 6.18186i | 1.31251 | + | 0.278983i | 0.810430 | − | 0.585836i | \(-0.199234\pi\) |
0.502084 | + | 0.864819i | \(0.332567\pi\) | |||||||
\(492\) | −14.6427 | + | 13.1843i | −0.660143 | + | 0.594396i | ||||
\(493\) | 23.0527 | + | 16.7487i | 1.03824 | + | 0.754326i | ||||
\(494\) | 3.91236 | + | 42.2251i | 0.176025 | + | 1.89980i | ||||
\(495\) | −0.849920 | − | 3.16778i | −0.0382011 | − | 0.142381i | ||||
\(496\) | 2.73324 | + | 1.57804i | 0.122726 | + | 0.0708559i | ||||
\(497\) | −29.8419 | + | 13.2865i | −1.33859 | + | 0.595980i | ||||
\(498\) | 7.80744 | − | 1.65952i | 0.349860 | − | 0.0743650i | ||||
\(499\) | −8.74148 | + | 2.84028i | −0.391323 | + | 0.127148i | −0.498068 | − | 0.867138i | \(-0.665957\pi\) |
0.106745 | + | 0.994286i | \(0.465957\pi\) | |||||||
\(500\) | −18.7082 | + | 42.0194i | −0.836657 | + | 1.87916i | ||||
\(501\) | −3.26664 | + | 7.33698i | −0.145943 | + | 0.327792i | ||||
\(502\) | 15.3661 | − | 4.99275i | 0.685822 | − | 0.222837i | ||||
\(503\) | −35.5024 | + | 7.54627i | −1.58297 | + | 0.336472i | −0.913651 | − | 0.406499i | \(-0.866749\pi\) |
−0.669324 | + | 0.742971i | \(0.733416\pi\) | |||||||
\(504\) | −18.5191 | + | 8.24524i | −0.824907 | + | 0.367272i | ||||
\(505\) | 8.39090 | + | 4.84449i | 0.373390 | + | 0.215577i | ||||
\(506\) | 16.4074 | − | 42.7848i | 0.729398 | − | 1.90202i | ||||
\(507\) | 4.32083 | − | 12.2609i | 0.191895 | − | 0.544527i | ||||
\(508\) | 68.8240 | + | 50.0036i | 3.05357 | + | 2.21855i | ||||
\(509\) | −8.55607 | + | 7.70392i | −0.379241 | + | 0.341470i | −0.836602 | − | 0.547811i | \(-0.815461\pi\) |
0.457361 | + | 0.889281i | \(0.348795\pi\) | |||||||
\(510\) | −7.05032 | − | 1.49859i | −0.312193 | − | 0.0663588i | ||||
\(511\) | 18.9787 | + | 8.44985i | 0.839568 | + | 0.373800i | ||||
\(512\) | 6.83508 | + | 9.40768i | 0.302071 | + | 0.415765i | ||||
\(513\) | −3.26747 | − | 2.94205i | −0.144263 | − | 0.129895i | ||||
\(514\) | −11.3156 | − | 53.2358i | −0.499110 | − | 2.34813i | ||||
\(515\) | −6.83947 | + | 9.41372i | −0.301383 | + | 0.414818i | ||||
\(516\) | 14.7509 | + | 25.5494i | 0.649374 | + | 1.12475i | ||||
\(517\) | −11.6263 | + | 17.9158i | −0.511324 | + | 0.787937i | ||||
\(518\) | 23.8741 | + | 13.7837i | 1.04897 | + | 0.605621i | ||||
\(519\) | 5.03646 | + | 3.65920i | 0.221076 | + | 0.160621i | ||||
\(520\) | −29.3578 | − | 6.61949i | −1.28742 | − | 0.290284i | ||||
\(521\) | −1.68568 | − | 5.18800i | −0.0738511 | − | 0.227290i | 0.907317 | − | 0.420448i | \(-0.138127\pi\) |
−0.981168 | + | 0.193158i | \(0.938127\pi\) | |||||||
\(522\) | −27.8201 | + | 2.92401i | −1.21765 | + | 0.127981i | ||||
\(523\) | −1.16048 | − | 11.0412i | −0.0507442 | − | 0.482799i | −0.990152 | − | 0.139997i | \(-0.955291\pi\) |
0.939408 | − | 0.342802i | \(-0.111376\pi\) | |||||||
\(524\) | −65.2972 | + | 72.5198i | −2.85252 | + | 3.16804i | ||||
\(525\) | −9.18713 | − | 2.98508i | −0.400959 | − | 0.130280i | ||||
\(526\) | −7.58040 | − | 0.796732i | −0.330521 | − | 0.0347392i | ||||
\(527\) | −0.607114 | + | 0.350518i | −0.0264463 | + | 0.0152688i | ||||
\(528\) | 22.1701 | + | 34.1143i | 0.964828 | + | 1.48464i | ||||
\(529\) | −1.83862 | − | 3.18459i | −0.0799402 | − | 0.138460i | ||||
\(530\) | 29.9780 | − | 13.3471i | 1.30216 | − | 0.579760i | ||||
\(531\) | −2.35719 | + | 2.12243i | −0.102293 | + | 0.0921055i | ||||
\(532\) | 16.8230 | + | 51.7760i | 0.729371 | + | 2.24477i | ||||
\(533\) | −2.69869 | − | 13.5135i | −0.116893 | − | 0.585334i | ||||
\(534\) | 29.4079 | − | 21.3661i | 1.27260 | − | 0.924600i | ||||
\(535\) | −0.850211 | + | 3.99993i | −0.0367578 | + | 0.172932i | ||||
\(536\) | −36.8162 | − | 40.8886i | −1.59022 | − | 1.76612i | ||||
\(537\) | 1.65026 | − | 15.7012i | 0.0712139 | − | 0.677555i | ||||
\(538\) | 71.3638i | 3.07671i | ||||||||
\(539\) | 4.03505 | + | 0.637729i | 0.173802 | + | 0.0274689i | ||||
\(540\) | 4.41513 | − | 2.54908i | 0.189997 | − | 0.109695i | ||||
\(541\) | 19.9103 | − | 27.4041i | 0.856009 | − | 1.17820i | −0.126497 | − | 0.991967i | \(-0.540373\pi\) |
0.982506 | − | 0.186229i | \(-0.0596266\pi\) | |||||||
\(542\) | 18.5297 | − | 3.93860i | 0.795917 | − | 0.169177i | ||||
\(543\) | 17.6873 | + | 3.75956i | 0.759036 | + | 0.161338i | ||||
\(544\) | 43.1764 | − | 4.53803i | 1.85117 | − | 0.194566i | ||||
\(545\) | −1.56455 | + | 1.13671i | −0.0670181 | + | 0.0486915i | ||||
\(546\) | 2.70511 | − | 23.0054i | 0.115768 | − | 0.984539i | ||||
\(547\) | −2.50279 | + | 7.70281i | −0.107012 | + | 0.329348i | −0.990197 | − | 0.139675i | \(-0.955394\pi\) |
0.883186 | + | 0.469024i | \(0.155394\pi\) | |||||||
\(548\) | 4.12350 | + | 9.26153i | 0.176147 | + | 0.395633i | ||||
\(549\) | −3.72955 | + | 6.45977i | −0.159173 | + | 0.275696i | ||||
\(550\) | −5.57048 | + | 35.2456i | −0.237526 | + | 1.50288i | ||||
\(551\) | 45.9798i | 1.95881i | ||||||||
\(552\) | 43.3562 | + | 4.55692i | 1.84536 | + | 0.193955i | ||||
\(553\) | −1.28237 | − | 6.03307i | −0.0545319 | − | 0.256552i | ||||
\(554\) | 64.6322 | − | 21.0003i | 2.74596 | − | 0.892216i | ||||
\(555\) | −3.87650 | − | 1.72593i | −0.164548 | − | 0.0732616i | ||||
\(556\) | −9.28146 | − | 88.3072i | −0.393621 | − | 3.74506i | ||||
\(557\) | −7.62177 | + | 35.8576i | −0.322945 | + | 1.51934i | 0.454707 | + | 0.890641i | \(0.349744\pi\) |
−0.777652 | + | 0.628695i | \(0.783589\pi\) | |||||||
\(558\) | 0.212668 | − | 0.654526i | 0.00900297 | − | 0.0277083i | ||||
\(559\) | −20.6314 | − | 0.254370i | −0.872615 | − | 0.0107587i | ||||
\(560\) | −29.1352 | −1.23119 | ||||||||
\(561\) | −9.02461 | + | 0.475934i | −0.381019 | + | 0.0200940i | ||||
\(562\) | −4.96121 | + | 8.59306i | −0.209276 | + | 0.362477i | ||||
\(563\) | 0.578170 | − | 5.50092i | 0.0243669 | − | 0.231836i | −0.975560 | − | 0.219734i | \(-0.929481\pi\) |
0.999927 | − | 0.0121020i | \(-0.00385227\pi\) | |||||||
\(564\) | −31.5735 | − | 10.2589i | −1.32948 | − | 0.431976i | ||||
\(565\) | −0.488523 | − | 0.439868i | −0.0205523 | − | 0.0185054i | ||||
\(566\) | 7.97153 | − | 17.9044i | 0.335068 | − | 0.752576i | ||||
\(567\) | 1.41170 | + | 1.94304i | 0.0592858 | + | 0.0815999i | ||||
\(568\) | −76.8158 | + | 85.3126i | −3.22312 | + | 3.57964i | ||||
\(569\) | 5.38911 | + | 5.98521i | 0.225923 | + | 0.250913i | 0.845440 | − | 0.534070i | \(-0.179338\pi\) |
−0.619517 | + | 0.784983i | \(0.712672\pi\) | |||||||
\(570\) | −4.73065 | − | 10.6252i | −0.198145 | − | 0.445042i | ||||
\(571\) | −17.2248 | −0.720834 | −0.360417 | − | 0.932791i | \(-0.617366\pi\) | ||||
−0.360417 | + | 0.932791i | \(0.617366\pi\) | |||||||
\(572\) | −61.5991 | + | 2.48748i | −2.57559 | + | 0.104007i | ||||
\(573\) | 10.5215 | 0.439541 | ||||||||
\(574\) | −9.98712 | − | 22.4314i | −0.416854 | − | 0.936270i | ||||
\(575\) | 13.9005 | + | 15.4381i | 0.579692 | + | 0.643813i | ||||
\(576\) | −12.1017 | + | 13.4404i | −0.504239 | + | 0.560015i | ||||
\(577\) | −15.4783 | − | 21.3041i | −0.644370 | − | 0.886900i | 0.354469 | − | 0.935068i | \(-0.384662\pi\) |
−0.998839 | + | 0.0481681i | \(0.984662\pi\) | |||||||
\(578\) | 10.4181 | − | 23.3994i | 0.433336 | − | 0.973288i | ||||
\(579\) | 13.4390 | + | 12.1006i | 0.558507 | + | 0.502882i | ||||
\(580\) | −50.7046 | − | 16.4749i | −2.10540 | − | 0.684085i | ||||
\(581\) | −0.749111 | + | 7.12731i | −0.0310784 | + | 0.295691i | ||||
\(582\) | 10.3164 | − | 17.8685i | 0.427628 | − | 0.740673i | ||||
\(583\) | 31.9659 | − | 25.9029i | 1.32389 | − | 1.07279i | ||||
\(584\) | 73.0094 | 3.02115 | ||||||||
\(585\) | −0.0439572 | + | 3.56526i | −0.00181741 | + | 0.147406i | ||||
\(586\) | 4.39228 | − | 13.5181i | 0.181443 | − | 0.558426i | ||||
\(587\) | 1.79818 | − | 8.45979i | 0.0742190 | − | 0.349173i | −0.925331 | − | 0.379160i | \(-0.876213\pi\) |
0.999550 | + | 0.0299866i | \(0.00954647\pi\) | |||||||
\(588\) | 0.663749 | + | 6.31515i | 0.0273726 | + | 0.260433i | ||||
\(589\) | −1.03341 | − | 0.460105i | −0.0425810 | − | 0.0189583i | ||||
\(590\) | −7.97989 | + | 2.59283i | −0.328527 | + | 0.106745i | ||||
\(591\) | −0.152049 | − | 0.715333i | −0.00625445 | − | 0.0294249i | ||||
\(592\) | 52.3495 | + | 5.50216i | 2.15155 | + | 0.226137i | ||||
\(593\) | − | 5.13101i | − | 0.210705i | −0.994435 | − | 0.105353i | \(-0.966403\pi\) | ||
0.994435 | − | 0.105353i | \(-0.0335971\pi\) | |||||||
\(594\) | 6.27126 | − | 6.27538i | 0.257313 | − | 0.257482i | ||||
\(595\) | 3.23580 | − | 5.60457i | 0.132655 | − | 0.229765i | ||||
\(596\) | −35.3624 | − | 79.4253i | −1.44850 | − | 3.25339i | ||||
\(597\) | 6.98181 | − | 21.4878i | 0.285746 | − | 0.879437i | ||||
\(598\) | −29.7750 | + | 39.9370i | −1.21759 | + | 1.63314i | ||||
\(599\) | 2.83114 | − | 2.05694i | 0.115677 | − | 0.0840444i | −0.528443 | − | 0.848969i | \(-0.677224\pi\) |
0.644120 | + | 0.764925i | \(0.277224\pi\) | |||||||
\(600\) | −33.7622 | + | 3.54855i | −1.37834 | + | 0.144869i | ||||
\(601\) | −17.1222 | − | 3.63945i | −0.698431 | − | 0.148456i | −0.155006 | − | 0.987914i | \(-0.549540\pi\) |
−0.543425 | + | 0.839458i | \(0.682873\pi\) | |||||||
\(602\) | −35.9611 | + | 7.64378i | −1.46567 | + | 0.311537i | ||||
\(603\) | −3.83160 | + | 5.27375i | −0.156035 | + | 0.214764i | ||||
\(604\) | 27.6829 | − | 15.9828i | 1.12640 | − | 0.650329i | ||||
\(605\) | −1.14416 | − | 10.8176i | −0.0465168 | − | 0.439797i | ||||
\(606\) | 26.2084i | 1.06464i | ||||||||
\(607\) | 4.45686 | − | 42.4042i | 0.180898 | − | 1.72113i | −0.408047 | − | 0.912961i | \(-0.633790\pi\) |
0.588945 | − | 0.808173i | \(-0.299543\pi\) | |||||||
\(608\) | 46.8756 | + | 52.0606i | 1.90106 | + | 2.11134i | ||||
\(609\) | 5.22193 | − | 24.5672i | 0.211603 | − | 0.995515i | ||||
\(610\) | −15.9629 | + | 11.5978i | −0.646321 | + | 0.469579i | ||||
\(611\) | 17.4447 | − | 15.3221i | 0.705737 | − | 0.619866i | ||||
\(612\) | −4.34088 | − | 13.3598i | −0.175470 | − | 0.540040i | ||||
\(613\) | 15.7775 | − | 14.2061i | 0.637248 | − | 0.573780i | −0.285884 | − | 0.958264i | \(-0.592287\pi\) |
0.923132 | + | 0.384484i | \(0.125621\pi\) | |||||||
\(614\) | 7.97992 | − | 3.55289i | 0.322043 | − | 0.143383i | ||||
\(615\) | 1.88978 | + | 3.27319i | 0.0762031 | + | 0.131988i | ||||
\(616\) | −64.9369 | + | 17.4227i | −2.61638 | + | 0.701979i | ||||
\(617\) | −26.9117 | + | 15.5375i | −1.08342 | + | 0.625515i | −0.931818 | − | 0.362926i | \(-0.881778\pi\) |
−0.151606 | + | 0.988441i | \(0.548444\pi\) | |||||||
\(618\) | −31.3026 | − | 3.29004i | −1.25918 | − | 0.132345i | ||||
\(619\) | 0.873768 | + | 0.283904i | 0.0351197 | + | 0.0114111i | 0.326524 | − | 0.945189i | \(-0.394123\pi\) |
−0.291404 | + | 0.956600i | \(0.594123\pi\) | |||||||
\(620\) | 0.877664 | − | 0.974745i | 0.0352479 | − | 0.0391467i | ||||
\(621\) | −0.539890 | − | 5.13671i | −0.0216650 | − | 0.206129i | ||||
\(622\) | −70.1588 | + | 7.37398i | −2.81311 | + | 0.295670i | ||||
\(623\) | 10.0855 | + | 31.0399i | 0.404065 | + | 1.24359i | ||||
\(624\) | −13.1481 | − | 42.2302i | −0.526345 | − | 1.69056i | ||||
\(625\) | −9.13173 | − | 6.63459i | −0.365269 | − | 0.265384i | ||||
\(626\) | −33.4782 | − | 19.3286i | −1.33806 | − | 0.772528i | ||||
\(627\) | −9.18085 | − | 11.3298i | −0.366648 | − | 0.452468i | ||||
\(628\) | 43.7286 | + | 75.7402i | 1.74496 | + | 3.02236i | ||||
\(629\) | −6.87243 | + | 9.45909i | −0.274022 | + | 0.377159i | ||||
\(630\) | 1.32090 | + | 6.21437i | 0.0526261 | + | 0.247586i | ||||
\(631\) | −18.5380 | − | 16.6917i | −0.737986 | − | 0.664485i | 0.211826 | − | 0.977307i | \(-0.432059\pi\) |
−0.949812 | + | 0.312822i | \(0.898726\pi\) | |||||||
\(632\) | −12.7408 | − | 17.5362i | −0.506801 | − | 0.697551i | ||||
\(633\) | −3.65201 | − | 1.62598i | −0.145155 | − | 0.0646269i | ||||
\(634\) | 15.6432 | + | 3.32506i | 0.621269 | + | 0.132055i | ||||
\(635\) | 12.1269 | − | 10.9191i | 0.481241 | − | 0.433311i | ||||
\(636\) | 51.7394 | + | 37.5909i | 2.05160 | + | 1.49058i | ||||
\(637\) | −4.03448 | − | 1.85620i | −0.159852 | − | 0.0735453i | ||||
\(638\) | −92.6516 | − | 4.82513i | −3.66811 | − | 0.191029i | ||||
\(639\) | 11.7789 | + | 6.80054i | 0.465965 | + | 0.269025i | ||||
\(640\) | −14.9176 | + | 6.64175i | −0.589670 | + | 0.262538i | ||||
\(641\) | −28.7000 | + | 6.10038i | −1.13358 | + | 0.240951i | −0.736241 | − | 0.676720i | \(-0.763401\pi\) |
−0.397343 | + | 0.917670i | \(0.630068\pi\) | |||||||
\(642\) | −10.5200 | + | 3.41817i | −0.415193 | + | 0.134904i | ||||
\(643\) | −8.34449 | + | 18.7420i | −0.329075 | + | 0.739113i | −0.999997 | − | 0.00241396i | \(-0.999232\pi\) |
0.670923 | + | 0.741527i | \(0.265898\pi\) | |||||||
\(644\) | −26.0116 | + | 58.4230i | −1.02500 | + | 2.30219i | ||||
\(645\) | 5.38207 | − | 1.74874i | 0.211919 | − | 0.0688565i | ||||
\(646\) | −31.3469 | + | 6.66299i | −1.23333 | + | 0.262152i | ||||
\(647\) | 22.3572 | − | 9.95408i | 0.878953 | − | 0.391335i | 0.0828973 | − | 0.996558i | \(-0.473583\pi\) |
0.796056 | + | 0.605223i | \(0.206916\pi\) | |||||||
\(648\) | 7.30966 | + | 4.22023i | 0.287150 | + | 0.165786i | ||||
\(649\) | −8.82098 | + | 5.73253i | −0.346254 | + | 0.225022i | ||||
\(650\) | 16.2137 | − | 35.2407i | 0.635952 | − | 1.38225i | ||||
\(651\) | 0.499903 | + | 0.363201i | 0.0195927 | + | 0.0142350i | ||||
\(652\) | −2.06113 | + | 1.85585i | −0.0807202 | + | 0.0726808i | ||||
\(653\) | 20.4856 | + | 4.35434i | 0.801662 | + | 0.170398i | 0.590484 | − | 0.807049i | \(-0.298937\pi\) |
0.211178 | + | 0.977448i | \(0.432270\pi\) | |||||||
\(654\) | −4.77888 | − | 2.12769i | −0.186869 | − | 0.0831994i | ||||
\(655\) | 11.0026 | + | 15.1438i | 0.429907 | + | 0.591716i | ||||
\(656\) | −34.8420 | − | 31.3719i | −1.36035 | − | 1.22487i | ||||
\(657\) | −1.79842 | − | 8.46091i | −0.0701631 | − | 0.330091i | ||||
\(658\) | 24.3173 | − | 33.4698i | 0.947986 | − | 1.30479i | ||||
\(659\) | −14.5611 | − | 25.2205i | −0.567218 | − | 0.982451i | −0.996840 | − | 0.0794415i | \(-0.974686\pi\) |
0.429621 | − | 0.903009i | \(-0.358647\pi\) | |||||||
\(660\) | 15.7836 | − | 6.06471i | 0.614376 | − | 0.236069i | ||||
\(661\) | 3.73833 | + | 2.15832i | 0.145404 | + | 0.0839491i | 0.570937 | − | 0.820994i | \(-0.306580\pi\) |
−0.425533 | + | 0.904943i | \(0.639913\pi\) | |||||||
\(662\) | −59.0747 | − | 42.9203i | −2.29600 | − | 1.66814i | ||||
\(663\) | 9.58382 | + | 2.16093i | 0.372205 | + | 0.0839235i | ||||
\(664\) | 7.78282 | + | 23.9531i | 0.302032 | + | 0.929559i | ||||
\(665\) | 10.3856 | − | 1.09157i | 0.402734 | − | 0.0423291i | ||||
\(666\) | −1.19979 | − | 11.4153i | −0.0464911 | − | 0.442333i | ||||
\(667\) | −36.1418 | + | 40.1395i | −1.39942 | + | 1.55421i | ||||
\(668\) | −39.3780 | − | 12.7947i | −1.52358 | − | 0.495041i | ||||
\(669\) | −27.4414 | − | 2.88421i | −1.06095 | − | 0.111510i | ||||
\(670\) | −14.9335 | + | 8.62186i | −0.576932 | + | 0.333092i | ||||
\(671\) | −15.5625 | + | 19.2309i | −0.600782 | + | 0.742402i | ||||
\(672\) | −19.1333 | − | 33.1399i | −0.738084 | − | 1.27840i | ||||
\(673\) | 40.1655 | − | 17.8828i | 1.54827 | − | 0.689333i | 0.558171 | − | 0.829726i | \(-0.311503\pi\) |
0.990096 | + | 0.140393i | \(0.0448367\pi\) | |||||||
\(674\) | −27.5404 | + | 24.7975i | −1.06082 | + | 0.955164i | ||||
\(675\) | 1.24289 | + | 3.82522i | 0.0478388 | + | 0.147233i | ||||
\(676\) | 65.1918 | + | 15.5462i | 2.50738 | + | 0.597932i | ||||
\(677\) | 12.6242 | − | 9.17204i | 0.485189 | − | 0.352510i | −0.318142 | − | 0.948043i | \(-0.603059\pi\) |
0.803331 | + | 0.595533i | \(0.203059\pi\) | |||||||
\(678\) | 0.369703 | − | 1.73932i | 0.0141984 | − | 0.0667981i | ||||
\(679\) | 12.3958 | + | 13.7670i | 0.475708 | + | 0.528327i | ||||
\(680\) | 2.37733 | − | 22.6188i | 0.0911664 | − | 0.867390i | ||||
\(681\) | − | 21.5341i | − | 0.825188i | ||||||
\(682\) | 1.03558 | − | 2.03409i | 0.0396544 | − | 0.0778894i | ||||
\(683\) | 14.5664 | − | 8.40993i | 0.557369 | − | 0.321797i | −0.194720 | − | 0.980859i | \(-0.562380\pi\) |
0.752089 | + | 0.659062i | \(0.229046\pi\) | |||||||
\(684\) | 13.3235 | − | 18.3382i | 0.509436 | − | 0.701178i | ||||
\(685\) | 1.90217 | − | 0.404319i | 0.0726783 | − | 0.0154482i | ||||
\(686\) | −51.7290 | − | 10.9953i | −1.97502 | − | 0.419804i | ||||
\(687\) | 0.234168 | − | 0.0246120i | 0.00893406 | − | 0.000939008i | ||||
\(688\) | −56.7923 | + | 41.2620i | −2.16519 | + | 1.57310i | ||||
\(689\) | −41.0819 | + | 17.6872i | −1.56510 | + | 0.673830i | ||||
\(690\) | 4.22204 | − | 12.9941i | 0.160730 | − | 0.494677i | ||||
\(691\) | −17.6683 | − | 39.6837i | −0.672135 | − | 1.50964i | −0.850666 | − | 0.525706i | \(-0.823801\pi\) |
0.178531 | − | 0.983934i | \(-0.442866\pi\) | |||||||
\(692\) | −16.0471 | + | 27.7945i | −0.610021 | + | 1.05659i | ||||
\(693\) | 3.61865 | + | 7.09623i | 0.137461 | + | 0.269564i | ||||
\(694\) | − | 40.1873i | − | 1.52549i | ||||||
\(695\) | −16.9391 | − | 1.78037i | −0.642535 | − | 0.0675331i | ||||
\(696\) | −18.3516 | − | 86.3375i | −0.695615 | − | 3.27261i | ||||
\(697\) | 9.90442 | − | 3.21814i | 0.375157 | − | 0.121896i | ||||
\(698\) | −37.9282 | − | 16.8867i | −1.43560 | − | 0.639171i | ||||
\(699\) | −0.0238621 | − | 0.227033i | −0.000902547 | − | 0.00858716i | ||||
\(700\) | 10.3541 | − | 48.7122i | 0.391348 | − | 1.84115i | ||||
\(701\) | −5.91284 | + | 18.1979i | −0.223325 | + | 0.687324i | 0.775132 | + | 0.631799i | \(0.217683\pi\) |
−0.998457 | + | 0.0555248i | \(0.982317\pi\) | |||||||
\(702\) | −8.41135 | + | 4.71900i | −0.317466 | + | 0.178107i | ||||
\(703\) | −18.8667 | −0.711570 | ||||||||
\(704\) | −46.6037 | + | 37.7643i | −1.75644 | + | 1.42330i | ||||
\(705\) | −3.18405 | + | 5.51493i | −0.119918 | + | 0.207704i | ||||
\(706\) | 0.108544 | − | 1.03273i | 0.00408511 | − | 0.0388672i | ||||
\(707\) | −22.3797 | − | 7.27161i | −0.841675 | − | 0.273477i | ||||
\(708\) | −12.1522 | − | 10.9419i | −0.456708 | − | 0.411222i | ||||
\(709\) | 7.52363 | − | 16.8983i | 0.282556 | − | 0.634630i | −0.715388 | − | 0.698727i | \(-0.753750\pi\) |
0.997944 | + | 0.0640970i | \(0.0204167\pi\) | |||||||
\(710\) | 21.1476 | + | 29.1072i | 0.793655 | + | 1.09237i | ||||
\(711\) | −1.71839 | + | 1.90846i | −0.0644446 | + | 0.0715730i | ||||
\(712\) | 76.7480 | + | 85.2373i | 2.87625 | + | 3.19440i | ||||
\(713\) | −0.540491 | − | 1.21396i | −0.0202415 | − | 0.0454633i | ||||
\(714\) | 17.5055 | 0.655127 | ||||||||
\(715\) | −1.98995 | + | 11.6569i | −0.0744197 | + | 0.435944i | ||||
\(716\) | 81.3912 | 3.04173 | ||||||||
\(717\) | 11.9037 | + | 26.7362i | 0.444553 | + | 0.998482i | ||||
\(718\) | −17.3303 | − | 19.2472i | −0.646760 | − | 0.718300i | ||||
\(719\) | −1.82349 | + | 2.02519i | −0.0680048 | + | 0.0755270i | −0.776187 | − | 0.630503i | \(-0.782849\pi\) |
0.708182 | + | 0.706030i | \(0.249515\pi\) | |||||||
\(720\) | 7.13040 | + | 9.81415i | 0.265734 | + | 0.365752i | ||||
\(721\) | 11.4944 | − | 25.8169i | 0.428075 | − | 0.961471i | ||||
\(722\) | −0.660035 | − | 0.594298i | −0.0245639 | − | 0.0221175i | ||||
\(723\) | −0.234713 | − | 0.0762628i | −0.00872906 | − | 0.00283624i | ||||
\(724\) | −9.74433 | + | 92.7112i | −0.362145 | + | 3.44558i | ||||
\(725\) | 21.0304 | − | 36.4258i | 0.781051 | − | 1.35282i | ||||
\(726\) | 23.7935 | − | 17.3109i | 0.883061 | − | 0.642468i | ||||
\(727\) | 6.84723 | 0.253950 | 0.126975 | − | 0.991906i | \(-0.459473\pi\) | ||||
0.126975 | + | 0.991906i | \(0.459473\pi\) | |||||||
\(728\) | 73.0850 | + | 0.901087i | 2.70871 | + | 0.0333965i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 4.75730 | − | 22.3813i | 0.176076 | − | 0.828371i | ||||
\(731\) | −1.62989 | − | 15.5074i | −0.0602838 | − | 0.573562i | ||||
\(732\) | −35.1298 | − | 15.6408i | −1.29844 | − | 0.578101i | ||||
\(733\) | 14.6162 | − | 4.74909i | 0.539861 | − | 0.175412i | −0.0263786 | − | 0.999652i | \(-0.508398\pi\) |
0.566240 | + | 0.824240i | \(0.308398\pi\) | |||||||
\(734\) | −7.87331 | − | 37.0410i | −0.290609 | − | 1.36721i | ||||
\(735\) | 1.21137 | + | 0.127320i | 0.0446821 | + | 0.00469628i | ||||
\(736\) | 82.2939i | 3.03339i | ||||||||
\(737\) | −15.2827 | + | 15.2928i | −0.562946 | + | 0.563316i | ||||
\(738\) | −5.11179 | + | 8.85389i | −0.188168 | + | 0.325916i | ||||
\(739\) | −0.908374 | − | 2.04024i | −0.0334151 | − | 0.0750515i | 0.896067 | − | 0.443919i | \(-0.146412\pi\) |
−0.929482 | + | 0.368868i | \(0.879746\pi\) | |||||||
\(740\) | 6.76008 | − | 20.8054i | 0.248505 | − | 0.764821i | ||||
\(741\) | 6.26895 | + | 14.5608i | 0.230295 | + | 0.534904i | ||||
\(742\) | −64.4765 | + | 46.8449i | −2.36701 | + | 1.71973i | ||||
\(743\) | 49.4232 | − | 5.19459i | 1.81316 | − | 0.190571i | 0.863605 | − | 0.504169i | \(-0.168201\pi\) |
0.949556 | + | 0.313598i | \(0.101535\pi\) | |||||||
\(744\) | 2.12410 | + | 0.451492i | 0.0778734 | + | 0.0165525i | ||||
\(745\) | −16.3127 | + | 3.46737i | −0.597652 | + | 0.127035i | ||||
\(746\) | −7.53379 | + | 10.3694i | −0.275832 | + | 0.379650i | ||||
\(747\) | 2.58416 | − | 1.49196i | 0.0945493 | − | 0.0545881i | ||||
\(748\) | −7.30338 | − | 46.0139i | −0.267038 | − | 1.68243i | ||||
\(749\) | − | 9.93157i | − | 0.362892i | ||||||
\(750\) | −2.49465 | + | 23.7350i | −0.0910918 | + | 0.866681i | ||||
\(751\) | 29.7891 | + | 33.0841i | 1.08702 | + | 1.20726i | 0.976980 | + | 0.213330i | \(0.0684309\pi\) |
0.110039 | + | 0.993927i | \(0.464902\pi\) | |||||||
\(752\) | 16.4239 | − | 77.2686i | 0.598920 | − | 2.81770i | ||||
\(753\) | 4.88651 | − | 3.55026i | 0.178074 | − | 0.129379i | ||||
\(754\) | 95.5314 | + | 32.3475i | 3.47905 | + | 1.17802i | ||||
\(755\) | −1.89477 | − | 5.83151i | −0.0689578 | − | 0.212230i | ||||
\(756\) | −9.20146 | + | 8.28503i | −0.334654 | + | 0.301324i | ||||
\(757\) | −29.3424 | + | 13.0641i | −1.06647 | + | 0.474822i | −0.863492 | − | 0.504362i | \(-0.831728\pi\) |
−0.202975 | + | 0.979184i | \(0.565061\pi\) | |||||||
\(758\) | 28.8168 | + | 49.9122i | 1.04667 | + | 1.81289i | ||||
\(759\) | 0.890912 | − | 17.1072i | 0.0323381 | − | 0.620952i | ||||
\(760\) | 31.7826 | − | 18.3497i | 1.15287 | − | 0.665612i | ||||
\(761\) | 31.6100 | + | 3.32235i | 1.14586 | + | 0.120435i | 0.658372 | − | 0.752693i | \(-0.271246\pi\) |
0.487491 | + | 0.873128i | \(0.337912\pi\) | |||||||
\(762\) | 41.9803 | + | 13.6402i | 1.52078 | + | 0.494133i | ||||
\(763\) | 3.14278 | − | 3.49041i | 0.113776 | − | 0.126361i | ||||
\(764\) | 5.66985 | + | 53.9450i | 0.205128 | + | 1.95166i | ||||
\(765\) | −2.67980 | + | 0.281659i | −0.0968884 | + | 0.0101834i | ||||
\(766\) | −19.1106 | − | 58.8162i | −0.690492 | − | 2.12512i | ||||
\(767\) | 10.9195 | − | 3.39971i | 0.394281 | − | 0.122757i | ||||
\(768\) | −6.47125 | − | 4.70164i | −0.233511 | − | 0.169656i | ||||
\(769\) | −8.25780 | − | 4.76764i | −0.297784 | − | 0.171926i | 0.343663 | − | 0.939093i | \(-0.388332\pi\) |
−0.641447 | + | 0.767167i | \(0.721666\pi\) | |||||||
\(770\) | 1.10970 | + | 21.0419i | 0.0399907 | + | 0.758299i | ||||
\(771\) | −10.1731 | − | 17.6203i | −0.366375 | − | 0.634580i | ||||
\(772\) | −54.7990 | + | 75.4244i | −1.97226 | + | 2.71458i | ||||
\(773\) | 0.0204149 | + | 0.0960446i | 0.000734273 | + | 0.00345448i | 0.978513 | − | 0.206184i | \(-0.0661046\pi\) |
−0.977779 | + | 0.209639i | \(0.932771\pi\) | |||||||
\(774\) | 11.3757 | + | 10.2428i | 0.408892 | + | 0.368168i | ||||
\(775\) | 0.608238 | + | 0.837167i | 0.0218485 | + | 0.0300719i | ||||
\(776\) | 59.4755 | + | 26.4802i | 2.13504 | + | 0.950583i | ||||
\(777\) | 10.0805 | + | 2.14269i | 0.361638 | + | 0.0768685i | ||||
\(778\) | −45.3875 | + | 40.8671i | −1.62722 | + | 1.46516i | ||||
\(779\) | 13.5951 | + | 9.87745i | 0.487096 | + | 0.353896i | ||||
\(780\) | −18.3033 | + | 1.69589i | −0.655362 | + | 0.0607225i | ||||
\(781\) | 35.0661 | + | 28.3769i | 1.25476 | + | 1.01541i | ||||
\(782\) | −32.6026 | − | 18.8231i | −1.16587 | − | 0.673114i | ||||
\(783\) | −9.55341 | + | 4.25345i | −0.341411 | + | 0.152006i | ||||
\(784\) | −14.7794 | + | 3.14145i | −0.527835 | + | 0.112195i | ||||
\(785\) | 15.9549 | − | 5.18408i | 0.569456 | − | 0.185028i | ||||
\(786\) | −20.5946 | + | 46.2562i | −0.734584 | + | 1.64990i | ||||
\(787\) | 5.64779 | − | 12.6851i | 0.201322 | − | 0.452176i | −0.784466 | − | 0.620172i | \(-0.787063\pi\) |
0.985788 | + | 0.167996i | \(0.0537295\pi\) | |||||||
\(788\) | 3.58567 | − | 1.16505i | 0.127734 | − | 0.0415033i | ||||
\(789\) | −2.78719 | + | 0.592435i | −0.0992265 | + | 0.0210912i | ||||
\(790\) | −6.20597 | + | 2.76308i | −0.220799 | + | 0.0983059i | ||||
\(791\) | 1.38265 | + | 0.798274i | 0.0491614 | + | 0.0283834i | ||||
\(792\) | 21.7611 | + | 17.6100i | 0.773247 | + | 0.625743i | ||||
\(793\) | 21.9511 | − | 15.5385i | 0.779505 | − | 0.551790i | ||||
\(794\) | −66.6255 | − | 48.4063i | −2.36445 | − | 1.71787i | ||||
\(795\) | 9.11655 | − | 8.20858i | 0.323331 | − | 0.291128i | ||||
\(796\) | 113.933 | + | 24.2172i | 4.03825 | + | 0.858357i | ||||
\(797\) | −22.9041 | − | 10.1976i | −0.811305 | − | 0.361216i | −0.0412141 | − | 0.999150i | \(-0.513123\pi\) |
−0.770091 | + | 0.637934i | \(0.779789\pi\) | |||||||
\(798\) | 16.6034 | + | 22.8526i | 0.587754 | + | 0.808974i | ||||
\(799\) | 13.0396 | + | 11.7409i | 0.461309 | + | 0.415364i | ||||
\(800\) | −13.3237 | − | 62.6833i | −0.471065 | − | 2.21619i | ||||
\(801\) | 7.98746 | − | 10.9938i | 0.282223 | − | 0.388447i | ||||
\(802\) | 5.05091 | + | 8.74843i | 0.178354 | + | 0.308918i | ||||
\(803\) | −1.51086 | − | 28.6488i | −0.0533171 | − | 1.01099i | ||||
\(804\) | −29.1040 | − | 16.8032i | −1.02642 | − | 0.592603i | ||||
\(805\) | 9.92441 | + | 7.21050i | 0.349789 | + | 0.254137i | ||||
\(806\) | −1.68297 | + | 1.82341i | −0.0592801 | + | 0.0642269i | ||||
\(807\) | 8.24412 | + | 25.3728i | 0.290207 | + | 0.893165i | ||||
\(808\) | −82.2442 | + | 8.64422i | −2.89334 | + | 0.304102i | ||||
\(809\) | −2.68118 | − | 25.5097i | −0.0942652 | − | 0.896874i | −0.934814 | − | 0.355138i | \(-0.884434\pi\) |
0.840549 | − | 0.541736i | \(-0.182233\pi\) | |||||||
\(810\) | 1.77003 | − | 1.96581i | 0.0621924 | − | 0.0690717i | ||||
\(811\) | −30.1618 | − | 9.80016i | −1.05912 | − | 0.344130i | −0.272881 | − | 0.962048i | \(-0.587977\pi\) |
−0.786243 | + | 0.617917i | \(0.787977\pi\) | |||||||
\(812\) | 128.773 | + | 13.5346i | 4.51906 | + | 0.474972i | ||||
\(813\) | 6.13307 | − | 3.54093i | 0.215096 | − | 0.124186i | ||||
\(814\) | 1.97987 | − | 38.0172i | 0.0693944 | − | 1.33250i | ||||
\(815\) | 0.266009 | + | 0.460741i | 0.00931788 | + | 0.0161390i | ||||
\(816\) | 30.5357 | − | 13.5954i | 1.06896 | − | 0.475933i | ||||
\(817\) | 18.6983 | − | 16.8360i | 0.654170 | − | 0.589018i | ||||
\(818\) | 28.1443 | + | 86.6193i | 0.984043 | + | 3.02857i | ||||
\(819\) | −1.69586 | − | 8.49187i | −0.0592581 | − | 0.296730i | ||||
\(820\) | −15.7637 | + | 11.4530i | −0.550492 | + | 0.399956i | ||||
\(821\) | 9.06894 | − | 42.6660i | 0.316508 | − | 1.48905i | −0.476137 | − | 0.879371i | \(-0.657963\pi\) |
0.792645 | − | 0.609683i | \(-0.208703\pi\) | |||||||
\(822\) | 3.51981 | + | 3.90915i | 0.122768 | + | 0.136347i | ||||
\(823\) | 0.417396 | − | 3.97126i | 0.0145495 | − | 0.138429i | −0.984836 | − | 0.173490i | \(-0.944496\pi\) |
0.999385 | + | 0.0350603i | \(0.0111623\pi\) | |||||||
\(824\) | − | 99.3155i | − | 3.45982i | ||||||
\(825\) | 2.09112 | + | 13.1748i | 0.0728035 | + | 0.458687i | ||||
\(826\) | 17.6479 | − | 10.1890i | 0.614047 | − | 0.354520i | ||||
\(827\) | −14.2332 | + | 19.5903i | −0.494937 | + | 0.681223i | −0.981289 | − | 0.192540i | \(-0.938327\pi\) |
0.486352 | + | 0.873763i | \(0.338327\pi\) | |||||||
\(828\) | 26.0456 | − | 5.53617i | 0.905148 | − | 0.192395i | ||||
\(829\) | −32.8076 | − | 6.97348i | −1.13946 | − | 0.242199i | −0.400725 | − | 0.916198i | \(-0.631242\pi\) |
−0.738732 | + | 0.674000i | \(0.764575\pi\) | |||||||
\(830\) | 7.85004 | − | 0.825072i | 0.272479 | − | 0.0286387i | ||||
\(831\) | 20.5534 | − | 14.9329i | 0.712990 | − | 0.518018i | ||||
\(832\) | 59.8940 | − | 25.7865i | 2.07645 | − | 0.893987i | ||||
\(833\) | 1.03712 | − | 3.19191i | 0.0359339 | − | 0.110593i | ||||
\(834\) | −18.7392 | − | 42.0889i | −0.648885 | − | 1.45742i | ||||
\(835\) | −3.97110 | + | 6.87814i | −0.137425 | + | 0.238028i | ||||
\(836\) | 53.1419 | − | 53.1769i | 1.83795 | − | 1.83916i | ||||
\(837\) | − | 0.257279i | − | 0.00889287i | ||||||
\(838\) | −30.9790 | − | 3.25602i | −1.07015 | − | 0.112477i | ||||
\(839\) | −4.07757 | − | 19.1834i | −0.140773 | − | 0.662286i | −0.990776 | − | 0.135508i | \(-0.956733\pi\) |
0.850003 | − | 0.526778i | \(-0.176600\pi\) | |||||||
\(840\) | −19.0655 | + | 6.19477i | −0.657824 | + | 0.213740i | ||||
\(841\) | 73.4121 | + | 32.6852i | 2.53145 | + | 1.12708i | ||||
\(842\) | 4.42919 | + | 42.1409i | 0.152640 | + | 1.45227i | ||||
\(843\) | −0.771224 | + | 3.62832i | −0.0265623 | + | 0.124966i | ||||
\(844\) | 6.36861 | − | 19.6006i | 0.219216 | − | 0.674679i | ||||
\(845\) | 5.51686 | − | 11.6118i | 0.189786 | − | 0.399458i | ||||
\(846\) | −17.2255 | −0.592226 | ||||||||
\(847\) | 8.18043 | + | 25.1206i | 0.281083 | + | 0.863153i | ||||
\(848\) | −76.0880 | + | 131.788i | −2.61287 | + | 4.52563i | ||||
\(849\) | 0.765856 | − | 7.28663i | 0.0262841 | − | 0.250077i | ||||
\(850\) | 27.8810 | + | 9.05907i | 0.956309 | + | 0.310724i | ||||
\(851\) | −16.4703 | − | 14.8299i | −0.564593 | − | 0.508362i | ||||
\(852\) | −28.5198 | + | 64.0565i | −0.977072 | + | 2.19454i | ||||
\(853\) | −14.5292 | − | 19.9978i | −0.497472 | − | 0.684711i | 0.484272 | − | 0.874917i | \(-0.339084\pi\) |
−0.981744 | + | 0.190206i | \(0.939084\pi\) | |||||||
\(854\) | 32.0654 | − | 35.6122i | 1.09726 | − | 1.21863i | ||||
\(855\) | −2.90940 | − | 3.23121i | −0.0994992 | − | 0.110505i | ||||
\(856\) | −14.1963 | − | 31.8854i | −0.485219 | − | 1.08982i | ||||
\(857\) | 41.8252 | 1.42872 | 0.714361 | − | 0.699778i | \(-0.246718\pi\) | ||||
0.714361 | + | 0.699778i | \(0.246718\pi\) | |||||||
\(858\) | −29.9986 | + | 11.1042i | −1.02413 | + | 0.379092i | ||||
\(859\) | −45.8367 | −1.56393 | −0.781964 | − | 0.623324i | \(-0.785782\pi\) | ||||
−0.781964 | + | 0.623324i | \(0.785782\pi\) | |||||||
\(860\) | 11.8663 | + | 26.6522i | 0.404638 | + | 0.908832i | ||||
\(861\) | −6.14217 | − | 6.82157i | −0.209324 | − | 0.232478i | ||||
\(862\) | −52.8389 | + | 58.6835i | −1.79970 | + | 1.99877i | ||||
\(863\) | −9.61388 | − | 13.2324i | −0.327260 | − | 0.450435i | 0.613406 | − | 0.789768i | \(-0.289799\pi\) |
−0.940667 | + | 0.339332i | \(0.889799\pi\) | |||||||
\(864\) | −6.48053 | + | 14.5555i | −0.220472 | + | 0.495188i | ||||
\(865\) | 4.57504 | + | 4.11938i | 0.155556 | + | 0.140063i | ||||
\(866\) | 41.1023 | + | 13.3550i | 1.39671 | + | 0.453820i | ||||
\(867\) | 1.00091 | − | 9.52299i | 0.0339926 | − | 0.323418i | ||||
\(868\) | −1.59279 | + | 2.75879i | −0.0540627 | + | 0.0936394i | ||||
\(869\) | −6.61750 | + | 5.36235i | −0.224483 | + | 0.181905i | ||||
\(870\) | −27.6629 | −0.937860 | ||||||||
\(871\) | 20.4980 | − | 11.4999i | 0.694549 | − | 0.389661i | ||||
\(872\) | 5.10069 | − | 15.6983i | 0.172731 | − | 0.531611i | ||||
\(873\) | 1.60369 | − | 7.54476i | 0.0542766 | − | 0.255352i | ||||
\(874\) | −6.34980 | − | 60.4143i | −0.214785 | − | 2.04354i | ||||
\(875\) | −19.5755 | − | 8.71558i | −0.661773 | − | 0.294640i | ||||
\(876\) | 42.4110 | − | 13.7802i | 1.43294 | − | 0.465589i | ||||
\(877\) | −2.42341 | − | 11.4012i | −0.0818327 | − | 0.384993i | 0.918103 | − | 0.396342i | \(-0.129721\pi\) |
−0.999936 | + | 0.0113495i | \(0.996387\pi\) | |||||||
\(878\) | 43.9312 | + | 4.61735i | 1.48261 | + | 0.155828i | ||||
\(879\) | − | 5.31364i | − | 0.179224i | ||||||
\(880\) | 18.2776 | + | 35.8426i | 0.616136 | + | 1.20825i | ||||
\(881\) | −1.41473 | + | 2.45038i | −0.0476635 | + | 0.0825555i | −0.888873 | − | 0.458154i | \(-0.848511\pi\) |
0.841209 | + | 0.540709i | \(0.181844\pi\) | |||||||
\(882\) | 1.34011 | + | 3.00993i | 0.0451237 | + | 0.101350i | ||||
\(883\) | 15.7986 | − | 48.6231i | 0.531666 | − | 1.63630i | −0.219080 | − | 0.975707i | \(-0.570306\pi\) |
0.750746 | − | 0.660591i | \(-0.229694\pi\) | |||||||
\(884\) | −5.91480 | + | 50.3020i | −0.198936 | + | 1.69184i | ||||
\(885\) | −2.53765 | + | 1.84371i | −0.0853023 | + | 0.0619758i | ||||
\(886\) | −65.8775 | + | 6.92400i | −2.21320 | + | 0.232616i | ||||
\(887\) | −5.70554 | − | 1.21275i | −0.191573 | − | 0.0407202i | 0.111126 | − | 0.993806i | \(-0.464554\pi\) |
−0.302699 | + | 0.953086i | \(0.597888\pi\) | |||||||
\(888\) | 35.4264 | − | 7.53012i | 1.18883 | − | 0.252694i | ||||
\(889\) | −23.2951 | + | 32.0630i | −0.781293 | + | 1.07536i | ||||
\(890\) | 31.1308 | − | 17.9734i | 1.04351 | − | 0.602468i | ||||
\(891\) | 1.50474 | − | 2.95563i | 0.0504108 | − | 0.0990173i | ||||
\(892\) | − | 142.250i | − | 4.76288i | ||||||
\(893\) | −2.95958 | + | 28.1585i | −0.0990385 | + | 0.942288i | ||||
\(894\) | −30.1853 | − | 33.5242i | −1.00955 | − | 1.12122i | ||||
\(895\) | 3.24601 | − | 15.2713i | 0.108502 | − | 0.510462i | ||||
\(896\) | 32.0846 | − | 23.3108i | 1.07187 | − | 0.778761i | ||||
\(897\) | −5.97264 | + | 17.6389i | −0.199421 | + | 0.588947i | ||||
\(898\) | −27.8802 | − | 85.8063i | −0.930373 | − | 2.86339i | ||||
\(899\) | −1.99943 | + | 1.80030i | −0.0666848 | + | 0.0600432i | ||||
\(900\) | −18.9426 | + | 8.43380i | −0.631421 | + | 0.281127i | ||||
\(901\) | −16.9009 | − | 29.2732i | −0.563050 | − | 0.975231i | ||||
\(902\) | −21.3302 | + | 26.3583i | −0.710218 | + | 0.877636i | ||||
\(903\) | −11.9027 | + | 6.87200i | −0.396095 | + | 0.228686i | ||||
\(904\) | 5.58007 | + | 0.586489i | 0.185590 | + | 0.0195063i | ||||
\(905\) | 17.0066 | + | 5.52577i | 0.565318 | + | 0.183683i | ||||
\(906\) | 11.0981 | − | 12.3257i | 0.368710 | − | 0.409494i | ||||
\(907\) | −4.85402 | − | 46.1829i | −0.161175 | − | 1.53348i | −0.713979 | − | 0.700167i | \(-0.753109\pi\) |
0.552804 | − | 0.833312i | \(-0.313558\pi\) | |||||||
\(908\) | 110.408 | − | 11.6044i | 3.66402 | − | 0.385104i | ||||
\(909\) | 3.02766 | + | 9.31818i | 0.100421 | + | 0.309064i | ||||
\(910\) | 5.03846 | − | 22.3458i | 0.167023 | − | 0.740756i | ||||
\(911\) | 9.04197 | + | 6.56937i | 0.299574 | + | 0.217653i | 0.727410 | − | 0.686203i | \(-0.240724\pi\) |
−0.427836 | + | 0.903856i | \(0.640724\pi\) | |||||||
\(912\) | 46.7102 | + | 26.9681i | 1.54673 | + | 0.893004i | ||||
\(913\) | 9.23807 | − | 3.54965i | 0.305736 | − | 0.117476i | ||||
\(914\) | −11.9348 | − | 20.6716i | −0.394767 | − | 0.683757i | ||||
\(915\) | −4.33569 | + | 5.96756i | −0.143333 | + | 0.197282i | ||||
\(916\) | 0.252378 | + | 1.18735i | 0.00833881 | + | 0.0392310i | ||||
\(917\) | −33.7847 | − | 30.4199i | −1.11567 | − | 1.00455i | ||||
\(918\) | −4.28420 | − | 5.89670i | −0.141400 | − | 0.194620i | ||||
\(919\) | 4.83020 | + | 2.15054i | 0.159333 | + | 0.0709398i | 0.484854 | − | 0.874595i | \(-0.338873\pi\) |
−0.325520 | + | 0.945535i | \(0.605539\pi\) | |||||||
\(920\) | 42.1691 | + | 8.96332i | 1.39027 | + | 0.295512i | ||||
\(921\) | 2.42675 | − | 2.18506i | 0.0799643 | − | 0.0720002i | ||||
\(922\) | −79.4596 | − | 57.7308i | −2.61686 | − | 1.90126i | ||||
\(923\) | −28.3333 | − | 40.0260i | −0.932602 | − | 1.31747i | ||||
\(924\) | −34.4333 | + | 22.3773i | −1.13277 | + | 0.736160i | ||||
\(925\) | 14.9464 | + | 8.62932i | 0.491435 | + | 0.283730i | ||||
\(926\) | −33.8037 | + | 15.0504i | −1.11086 | + | 0.494586i | ||||
\(927\) | −11.5095 | + | 2.44641i | −0.378020 | + | 0.0803507i | ||||
\(928\) | 158.465 | − | 51.4882i | 5.20185 | − | 1.69018i | ||||
\(929\) | −1.99201 | + | 4.47412i | −0.0653556 | + | 0.146791i | −0.943270 | − | 0.332026i | \(-0.892268\pi\) |
0.877915 | + | 0.478817i | \(0.158934\pi\) | |||||||
\(930\) | 0.276813 | − | 0.621733i | 0.00907707 | − | 0.0203874i | ||||
\(931\) | 5.15056 | − | 1.67352i | 0.168803 | − | 0.0548474i | ||||
\(932\) | 1.15117 | − | 0.244688i | 0.0377077 | − | 0.00801502i | ||||
\(933\) | −24.0925 | + | 10.7267i | −0.788753 | + | 0.351175i | ||||
\(934\) | 77.6235 | + | 44.8159i | 2.53992 | + | 1.46642i | ||||
\(935\) | −8.92476 | − | 0.464786i | −0.291871 | − | 0.0152001i | ||||
\(936\) | −17.5829 | − | 24.8391i | −0.574715 | − | 0.811891i | ||||
\(937\) | 37.8709 | + | 27.5148i | 1.23719 | + | 0.898870i | 0.997408 | − | 0.0719569i | \(-0.0229244\pi\) |
0.239781 | + | 0.970827i | \(0.422924\pi\) | |||||||
\(938\) | 31.1225 | − | 28.0229i | 1.01619 | − | 0.914979i | ||||
\(939\) | −14.1358 | − | 3.00465i | −0.461304 | − | 0.0980531i | ||||
\(940\) | −29.9916 | − | 13.3531i | −0.978218 | − | 0.435531i | ||||
\(941\) | 15.7368 | + | 21.6598i | 0.513004 | + | 0.706090i | 0.984422 | − | 0.175820i | \(-0.0562576\pi\) |
−0.471418 | + | 0.881910i | \(0.656258\pi\) | |||||||
\(942\) | 33.7229 | + | 30.3643i | 1.09875 | + | 0.989322i | ||||
\(943\) | 4.10428 | + | 19.3091i | 0.133654 | + | 0.628791i | ||||
\(944\) | 22.8709 | − | 31.4790i | 0.744383 | − | 1.02456i | ||||
\(945\) | 1.18754 | + | 2.05687i | 0.0386305 | + | 0.0669100i | ||||
\(946\) | 31.9632 | + | 39.4447i | 1.03921 | + | 1.28246i | ||||
\(947\) | −22.8147 | − | 13.1721i | −0.741380 | − | 0.428036i | 0.0811910 | − | 0.996699i | \(-0.474128\pi\) |
−0.822571 | + | 0.568663i | \(0.807461\pi\) | |||||||
\(948\) | −10.7110 | − | 7.78196i | −0.347876 | − | 0.252746i | ||||
\(949\) | −6.85990 | + | 30.4240i | −0.222682 | + | 0.987604i | ||||
\(950\) | 14.6180 | + | 44.9895i | 0.474270 | + | 1.45965i | ||||
\(951\) | 5.94591 | − | 0.624940i | 0.192809 | − | 0.0202651i | ||||
\(952\) | 5.77377 | + | 54.9338i | 0.187129 | + | 1.78041i | ||||
\(953\) | 5.70612 | − | 6.33729i | 0.184839 | − | 0.205285i | −0.643603 | − | 0.765360i | \(-0.722561\pi\) |
0.828442 | + | 0.560075i | \(0.189228\pi\) | |||||||
\(954\) | 31.5592 | + | 10.2542i | 1.02177 | + | 0.331993i | ||||
\(955\) | 10.3477 | + | 1.08759i | 0.334844 | + | 0.0351936i | ||||
\(956\) | −130.665 | + | 75.4396i | −4.22602 | + | 2.43989i | ||||
\(957\) | −33.4989 | + | 8.98780i | −1.08287 | + | 0.290534i | ||||
\(958\) | −11.9534 | − | 20.7039i | −0.386198 | − | 0.668914i | ||||
\(959\) | −4.31466 | + | 1.92101i | −0.139327 | + | 0.0620326i | ||||
\(960\) | −13.2912 | + | 11.9674i | −0.428971 | + | 0.386247i | ||||
\(961\) | 9.55907 | + | 29.4198i | 0.308357 | + | 0.949026i | ||||
\(962\) | −13.2730 | + | 39.1989i | −0.427938 | + | 1.26382i | ||||
\(963\) | −3.34543 | + | 2.43060i | −0.107805 | + | 0.0783250i | ||||
\(964\) | 0.264526 | − | 1.24450i | 0.00851982 | − | 0.0400826i | ||||
\(965\) | 11.9663 | + | 13.2899i | 0.385207 | + | 0.427816i | ||||
\(966\) | −3.46852 | + | 33.0008i | −0.111598 | + | 1.06178i | ||||
\(967\) | 8.51969i | 0.273975i | 0.990573 | + | 0.136987i | \(0.0437420\pi\) | ||||
−0.990573 | + | 0.136987i | \(0.956258\pi\) | |||||||
\(968\) | 62.1709 | + | 68.9565i | 1.99825 | + | 2.21635i | ||||
\(969\) | −10.3754 | + | 5.99024i | −0.333306 | + | 0.192434i | ||||
\(970\) | 11.9930 | − | 16.5070i | 0.385073 | − | 0.530008i | ||||
\(971\) | −25.2900 | + | 5.37555i | −0.811594 | + | 0.172510i | −0.594972 | − | 0.803746i | \(-0.702837\pi\) |
−0.216621 | + | 0.976256i | \(0.569504\pi\) | |||||||
\(972\) | 5.04271 | + | 1.07186i | 0.161745 | + | 0.0343800i | ||||
\(973\) | 41.1395 | − | 4.32394i | 1.31887 | − | 0.138619i | ||||
\(974\) | −30.7628 | + | 22.3505i | −0.985703 | + | 0.716155i | ||||
\(975\) | 1.69354 | − | 14.4026i | 0.0542366 | − | 0.461251i | ||||
\(976\) | 28.2755 | − | 87.0231i | 0.905077 | − | 2.78554i | ||||
\(977\) | 12.8849 | + | 28.9400i | 0.412225 | + | 0.925873i | 0.993675 | + | 0.112291i | \(0.0358188\pi\) |
−0.581450 | + | 0.813582i | \(0.697515\pi\) | |||||||
\(978\) | −0.719547 | + | 1.24629i | −0.0230086 | + | 0.0398520i | ||||
\(979\) | 31.8587 | − | 31.8797i | 1.01821 | − | 1.01888i | ||||
\(980\) | 6.27946i | 0.200590i | ||||||||
\(981\) | −1.94489 | − | 0.204416i | −0.0620954 | − | 0.00652649i | ||||
\(982\) | 16.5362 | + | 77.7966i | 0.527691 | + | 2.48259i | ||||
\(983\) | 28.2506 | − | 9.17917i | 0.901053 | − | 0.292770i | 0.178382 | − | 0.983961i | \(-0.442914\pi\) |
0.722672 | + | 0.691191i | \(0.242914\pi\) | |||||||
\(984\) | −29.4703 | − | 13.1210i | −0.939477 | − | 0.418282i | ||||
\(985\) | −0.0755947 | − | 0.719236i | −0.00240865 | − | 0.0229168i | ||||
\(986\) | −15.8474 | + | 74.5563i | −0.504685 | + | 2.37436i | ||||
\(987\) | 4.77928 | − | 14.7091i | 0.152126 | − | 0.468196i | ||||
\(988\) | −71.2768 | + | 39.9883i | −2.26762 | + | 1.27220i | ||||
\(989\) | 29.5570 | 0.939858 | ||||||||
\(990\) | 6.81636 | − | 5.52349i | 0.216638 | − | 0.175548i | ||||
\(991\) | 21.1482 | − | 36.6297i | 0.671794 | − | 1.16358i | −0.305602 | − | 0.952160i | \(-0.598858\pi\) |
0.977395 | − | 0.211421i | \(-0.0678091\pi\) | |||||||
\(992\) | −0.428486 | + | 4.07677i | −0.0136044 | + | 0.129438i | ||||
\(993\) | −25.9618 | − | 8.43549i | −0.823871 | − | 0.267692i | ||||
\(994\) | −64.9361 | − | 58.4687i | −2.05965 | − | 1.85452i | ||||
\(995\) | 9.08766 | − | 20.4112i | 0.288098 | − | 0.647079i | ||||
\(996\) | 9.04205 | + | 12.4453i | 0.286508 | + | 0.394345i | ||||
\(997\) | 33.4882 | − | 37.1925i | 1.06058 | − | 1.17790i | 0.0770764 | − | 0.997025i | \(-0.475441\pi\) |
0.983507 | − | 0.180872i | \(-0.0578919\pi\) | |||||||
\(998\) | −16.4515 | − | 18.2713i | −0.520763 | − | 0.578366i | ||||
\(999\) | −1.74530 | − | 3.92000i | −0.0552188 | − | 0.124023i |
(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 | 429.2.bn.b.4.14 | ✓ | 112 | |
11.3 | even | 5 | inner | 429.2.bn.b.355.14 | yes | 112 | |
13.10 | even | 6 | inner | 429.2.bn.b.400.14 | yes | 112 | |
143.36 | even | 30 | inner | 429.2.bn.b.322.14 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bn.b.4.14 | ✓ | 112 | 1.1 | even | 1 | trivial | |
429.2.bn.b.322.14 | yes | 112 | 143.36 | even | 30 | inner | |
429.2.bn.b.355.14 | yes | 112 | 11.3 | even | 5 | inner | |
429.2.bn.b.400.14 | yes | 112 | 13.10 | even | 6 | inner |