Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(4,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.y (of order \(15\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 4.7 | ||
Character | \(\chi\) | \(=\) | 231.4 |
Dual form | 231.2.y.b.58.7 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.164728 | − | 1.56729i | 0.116481 | − | 1.10824i | −0.767608 | − | 0.640919i | \(-0.778553\pi\) |
0.884089 | − | 0.467319i | \(-0.154780\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −0.472952 | − | 0.100529i | −0.236476 | − | 0.0502646i | ||||
\(5\) | −3.79103 | − | 1.68787i | −1.69540 | − | 0.754840i | −0.999320 | − | 0.0368739i | \(-0.988260\pi\) |
−0.696078 | − | 0.717966i | \(-0.745073\pi\) | |||||||
\(6\) | 1.27494 | − | 0.926302i | 0.520494 | − | 0.378161i | ||||
\(7\) | 2.12208 | − | 1.58012i | 0.802071 | − | 0.597229i | ||||
\(8\) | 0.738505 | − | 2.27288i | 0.261101 | − | 0.803586i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −3.26987 | + | 5.66358i | −1.03402 | + | 1.79098i | ||||
\(11\) | 1.12120 | − | 3.12136i | 0.338056 | − | 0.941126i | ||||
\(12\) | −0.241759 | − | 0.418739i | −0.0697899 | − | 0.120880i | ||||
\(13\) | −1.57878 | − | 1.14705i | −0.437875 | − | 0.318135i | 0.346915 | − | 0.937897i | \(-0.387229\pi\) |
−0.784790 | + | 0.619762i | \(0.787229\pi\) | |||||||
\(14\) | −2.12693 | − | 3.58619i | −0.568447 | − | 0.958451i | ||||
\(15\) | −1.28236 | − | 3.94669i | −0.331103 | − | 1.01903i | ||||
\(16\) | −4.32404 | − | 1.92518i | −1.08101 | − | 0.481296i | ||||
\(17\) | 0.474916 | + | 4.51852i | 0.115184 | + | 1.09590i | 0.887546 | + | 0.460720i | \(0.152409\pi\) |
−0.772362 | + | 0.635183i | \(0.780925\pi\) | |||||||
\(18\) | 1.54148 | + | 0.327652i | 0.363330 | + | 0.0772283i | ||||
\(19\) | 4.93569 | − | 1.04911i | 1.13233 | − | 0.240683i | 0.396619 | − | 0.917983i | \(-0.370183\pi\) |
0.735707 | + | 0.677300i | \(0.236850\pi\) | |||||||
\(20\) | 1.62329 | + | 1.17939i | 0.362980 | + | 0.263720i | ||||
\(21\) | 2.59421 | + | 0.519706i | 0.566102 | + | 0.113409i | ||||
\(22\) | −4.70737 | − | 2.27142i | −1.00361 | − | 0.484269i | ||||
\(23\) | 0.495419 | + | 0.858091i | 0.103302 | + | 0.178924i | 0.913043 | − | 0.407863i | \(-0.133726\pi\) |
−0.809741 | + | 0.586787i | \(0.800393\pi\) | |||||||
\(24\) | 2.18324 | − | 0.972040i | 0.445651 | − | 0.198417i | ||||
\(25\) | 8.17730 | + | 9.08182i | 1.63546 | + | 1.81636i | ||||
\(26\) | −2.05783 | + | 2.28545i | −0.403573 | + | 0.448213i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −1.16249 | + | 0.533991i | −0.219690 | + | 0.100915i | ||||
\(29\) | 0.853348 | + | 2.62634i | 0.158463 | + | 0.487698i | 0.998495 | − | 0.0548378i | \(-0.0174642\pi\) |
−0.840032 | + | 0.542536i | \(0.817464\pi\) | |||||||
\(30\) | −6.39683 | + | 1.35969i | −1.16790 | + | 0.248244i | ||||
\(31\) | −4.24603 | + | 1.89045i | −0.762609 | + | 0.339535i | −0.750917 | − | 0.660396i | \(-0.770388\pi\) |
−0.0116915 | + | 0.999932i | \(0.503722\pi\) | |||||||
\(32\) | −1.33975 | + | 2.32052i | −0.236837 | + | 0.410214i | ||||
\(33\) | 3.06986 | − | 1.25538i | 0.534393 | − | 0.218534i | ||||
\(34\) | 7.16004 | 1.22794 | ||||||||
\(35\) | −10.7119 | + | 2.40847i | −1.81064 | + | 0.407106i | ||||
\(36\) | 0.149415 | − | 0.459853i | 0.0249026 | − | 0.0766422i | ||||
\(37\) | −2.13405 | + | 2.37011i | −0.350836 | + | 0.389643i | −0.892571 | − | 0.450906i | \(-0.851101\pi\) |
0.541735 | + | 0.840549i | \(0.317768\pi\) | |||||||
\(38\) | −0.831213 | − | 7.90846i | −0.134841 | − | 1.28292i | ||||
\(39\) | −0.203985 | − | 1.94079i | −0.0326638 | − | 0.310775i | ||||
\(40\) | −6.63603 | + | 7.37006i | −1.04925 | + | 1.16531i | ||||
\(41\) | −3.23441 | + | 9.95449i | −0.505130 | + | 1.55463i | 0.295422 | + | 0.955367i | \(0.404540\pi\) |
−0.800552 | + | 0.599263i | \(0.795460\pi\) | |||||||
\(42\) | 1.24187 | − | 3.98025i | 0.191624 | − | 0.614166i | ||||
\(43\) | 3.83062 | 0.584163 | 0.292082 | − | 0.956393i | \(-0.405652\pi\) | ||||
0.292082 | + | 0.956393i | \(0.405652\pi\) | |||||||
\(44\) | −0.844064 | + | 1.36354i | −0.127247 | + | 0.205562i | ||||
\(45\) | 2.07490 | − | 3.59383i | 0.309307 | − | 0.535736i | ||||
\(46\) | 1.42648 | − | 0.635111i | 0.210323 | − | 0.0936420i | ||||
\(47\) | 5.86007 | − | 1.24560i | 0.854779 | − | 0.181689i | 0.240375 | − | 0.970680i | \(-0.422730\pi\) |
0.614404 | + | 0.788991i | \(0.289396\pi\) | |||||||
\(48\) | −1.46265 | − | 4.50159i | −0.211116 | − | 0.649748i | ||||
\(49\) | 2.00644 | − | 6.70628i | 0.286634 | − | 0.958040i | ||||
\(50\) | 15.5808 | − | 11.3201i | 2.20346 | − | 1.60091i | ||||
\(51\) | −3.04014 | + | 3.37641i | −0.425704 | + | 0.472792i | ||||
\(52\) | 0.631376 | + | 0.701214i | 0.0875561 | + | 0.0972409i | ||||
\(53\) | 8.86428 | − | 3.94663i | 1.21760 | − | 0.542111i | 0.305546 | − | 0.952177i | \(-0.401161\pi\) |
0.912056 | + | 0.410066i | \(0.134494\pi\) | |||||||
\(54\) | 0.787959 | + | 1.36479i | 0.107228 | + | 0.185724i | ||||
\(55\) | −9.51898 | + | 9.94071i | −1.28354 | + | 1.34041i | ||||
\(56\) | −2.02426 | − | 5.99016i | −0.270504 | − | 0.800469i | ||||
\(57\) | 4.08227 | + | 2.96594i | 0.540710 | + | 0.392849i | ||||
\(58\) | 4.25679 | − | 0.904808i | 0.558944 | − | 0.118807i | ||||
\(59\) | 6.42889 | + | 1.36650i | 0.836970 | + | 0.177903i | 0.606408 | − | 0.795154i | \(-0.292610\pi\) |
0.230563 | + | 0.973057i | \(0.425943\pi\) | |||||||
\(60\) | 0.209737 | + | 1.99551i | 0.0270769 | + | 0.257619i | ||||
\(61\) | −6.90543 | − | 3.07450i | −0.884150 | − | 0.393649i | −0.0861326 | − | 0.996284i | \(-0.527451\pi\) |
−0.798017 | + | 0.602635i | \(0.794118\pi\) | |||||||
\(62\) | 2.26344 | + | 6.96614i | 0.287457 | + | 0.884701i | ||||
\(63\) | 1.34965 | + | 2.27562i | 0.170039 | + | 0.286701i | ||||
\(64\) | −4.24233 | − | 3.08223i | −0.530291 | − | 0.385279i | ||||
\(65\) | 4.04912 | + | 7.01328i | 0.502231 | + | 0.869890i | ||||
\(66\) | −1.46185 | − | 5.01814i | −0.179941 | − | 0.617690i | ||||
\(67\) | −0.922802 | + | 1.59834i | −0.112738 | + | 0.195268i | −0.916873 | − | 0.399178i | \(-0.869295\pi\) |
0.804135 | + | 0.594446i | \(0.202629\pi\) | |||||||
\(68\) | 0.229631 | − | 2.18479i | 0.0278468 | − | 0.264945i | ||||
\(69\) | −0.306186 | + | 0.942343i | −0.0368604 | + | 0.113445i | ||||
\(70\) | 2.01021 | + | 17.1853i | 0.240266 | + | 2.05404i | ||||
\(71\) | 3.33445 | − | 2.42262i | 0.395726 | − | 0.287512i | −0.372072 | − | 0.928204i | \(-0.621352\pi\) |
0.767798 | + | 0.640692i | \(0.221352\pi\) | |||||||
\(72\) | 2.18324 | + | 0.972040i | 0.257297 | + | 0.114556i | ||||
\(73\) | 4.60897 | + | 0.979667i | 0.539439 | + | 0.114661i | 0.469571 | − | 0.882895i | \(-0.344409\pi\) |
0.0698685 | + | 0.997556i | \(0.477742\pi\) | |||||||
\(74\) | 3.36309 | + | 3.73509i | 0.390952 | + | 0.434196i | ||||
\(75\) | −1.27742 | + | 12.1538i | −0.147504 | + | 1.40340i | ||||
\(76\) | −2.43982 | −0.279866 | ||||||||
\(77\) | −2.55284 | − | 8.39542i | −0.290923 | − | 0.956746i | ||||
\(78\) | −3.07537 | −0.348217 | ||||||||
\(79\) | 0.135587 | − | 1.29003i | 0.0152548 | − | 0.145139i | −0.984243 | − | 0.176819i | \(-0.943419\pi\) |
0.999498 | + | 0.0316801i | \(0.0100858\pi\) | |||||||
\(80\) | 13.1431 | + | 14.5969i | 1.46944 | + | 1.63198i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 15.0687 | + | 6.70903i | 1.66406 | + | 0.740888i | ||||
\(83\) | 1.10236 | − | 0.800908i | 0.120999 | − | 0.0879111i | −0.525640 | − | 0.850707i | \(-0.676174\pi\) |
0.646639 | + | 0.762796i | \(0.276174\pi\) | |||||||
\(84\) | −1.17469 | − | 0.506589i | −0.128169 | − | 0.0552734i | ||||
\(85\) | 5.82627 | − | 17.9314i | 0.631948 | − | 1.94494i | ||||
\(86\) | 0.631011 | − | 6.00367i | 0.0680436 | − | 0.647392i | ||||
\(87\) | −1.38075 | + | 2.39152i | −0.148032 | + | 0.256398i | ||||
\(88\) | −6.26648 | − | 4.85351i | −0.668009 | − | 0.517386i | ||||
\(89\) | −7.79893 | − | 13.5081i | −0.826685 | − | 1.43186i | −0.900625 | − | 0.434598i | \(-0.856891\pi\) |
0.0739396 | − | 0.997263i | \(-0.476443\pi\) | |||||||
\(90\) | −5.29076 | − | 3.84396i | −0.557695 | − | 0.405189i | ||||
\(91\) | −5.16278 | + | 0.0605292i | −0.541206 | + | 0.00634519i | ||||
\(92\) | −0.148047 | − | 0.455640i | −0.0154349 | − | 0.0475038i | ||||
\(93\) | −4.24603 | − | 1.89045i | −0.440292 | − | 0.196031i | ||||
\(94\) | −0.986885 | − | 9.38959i | −0.101789 | − | 0.968462i | ||||
\(95\) | −20.4821 | − | 4.35361i | −2.10142 | − | 0.446671i | ||||
\(96\) | −2.62095 | + | 0.557101i | −0.267500 | + | 0.0568589i | ||||
\(97\) | 3.00835 | + | 2.18569i | 0.305451 | + | 0.221923i | 0.729942 | − | 0.683509i | \(-0.239547\pi\) |
−0.424491 | + | 0.905432i | \(0.639547\pi\) | |||||||
\(98\) | −10.1801 | − | 4.24938i | −1.02835 | − | 0.429252i | ||||
\(99\) | 2.98706 | + | 1.44133i | 0.300211 | + | 0.144859i | ||||
\(100\) | −2.95449 | − | 5.11733i | −0.295449 | − | 0.511733i | ||||
\(101\) | −10.4864 | + | 4.66884i | −1.04344 | + | 0.464567i | −0.855602 | − | 0.517634i | \(-0.826813\pi\) |
−0.187833 | + | 0.982201i | \(0.560146\pi\) | |||||||
\(102\) | 4.79101 | + | 5.32095i | 0.474380 | + | 0.526853i | ||||
\(103\) | 3.99578 | − | 4.43777i | 0.393716 | − | 0.437266i | −0.513398 | − | 0.858151i | \(-0.671614\pi\) |
0.907114 | + | 0.420884i | \(0.138280\pi\) | |||||||
\(104\) | −3.77305 | + | 2.74128i | −0.369978 | + | 0.268805i | ||||
\(105\) | −8.95750 | − | 6.34891i | −0.874163 | − | 0.619590i | ||||
\(106\) | −4.72530 | − | 14.5430i | −0.458962 | − | 1.41254i | ||||
\(107\) | 3.73517 | − | 0.793935i | 0.361092 | − | 0.0767526i | −0.0237931 | − | 0.999717i | \(-0.507574\pi\) |
0.384885 | + | 0.922964i | \(0.374241\pi\) | |||||||
\(108\) | 0.441716 | − | 0.196665i | 0.0425042 | − | 0.0189241i | ||||
\(109\) | −2.52250 | + | 4.36909i | −0.241611 | + | 0.418483i | −0.961173 | − | 0.275945i | \(-0.911009\pi\) |
0.719562 | + | 0.694428i | \(0.244343\pi\) | |||||||
\(110\) | 14.0119 | + | 16.5565i | 1.33598 | + | 1.57860i | ||||
\(111\) | −3.18929 | −0.302714 | ||||||||
\(112\) | −12.2180 | + | 2.74710i | −1.15449 | + | 0.259577i | ||||
\(113\) | −4.75887 | + | 14.6463i | −0.447677 | + | 1.37781i | 0.431844 | + | 0.901949i | \(0.357863\pi\) |
−0.879521 | + | 0.475860i | \(0.842137\pi\) | |||||||
\(114\) | 5.32094 | − | 5.90950i | 0.498352 | − | 0.553476i | ||||
\(115\) | −0.429798 | − | 4.08925i | −0.0400788 | − | 0.381325i | ||||
\(116\) | −0.139570 | − | 1.32792i | −0.0129587 | − | 0.123294i | ||||
\(117\) | 1.30579 | − | 1.45023i | 0.120721 | − | 0.134074i | ||||
\(118\) | 3.20072 | − | 9.85080i | 0.294650 | − | 0.906840i | ||||
\(119\) | 8.14762 | + | 8.83824i | 0.746891 | + | 0.810200i | ||||
\(120\) | −9.91739 | −0.905330 | ||||||||
\(121\) | −8.48580 | − | 6.99937i | −0.771436 | − | 0.636306i | ||||
\(122\) | −5.95613 | + | 10.3163i | −0.539243 | + | 0.933996i | ||||
\(123\) | −9.56187 | + | 4.25722i | −0.862165 | + | 0.383860i | ||||
\(124\) | 2.19821 | − | 0.467245i | 0.197405 | − | 0.0419598i | ||||
\(125\) | −9.25963 | − | 28.4982i | −0.828206 | − | 2.54896i | ||||
\(126\) | 3.78887 | − | 1.74042i | 0.337540 | − | 0.155049i | ||||
\(127\) | −12.6872 | + | 9.21782i | −1.12581 | + | 0.817949i | −0.985080 | − | 0.172099i | \(-0.944945\pi\) |
−0.140731 | + | 0.990048i | \(0.544945\pi\) | |||||||
\(128\) | −9.11545 | + | 10.1237i | −0.805700 | + | 0.894820i | ||||
\(129\) | 2.56318 | + | 2.84670i | 0.225676 | + | 0.250638i | ||||
\(130\) | 11.6588 | − | 5.19084i | 1.02255 | − | 0.455267i | ||||
\(131\) | −5.39188 | − | 9.33900i | −0.471090 | − | 0.815952i | 0.528363 | − | 0.849019i | \(-0.322806\pi\) |
−0.999453 | + | 0.0330662i | \(0.989473\pi\) | |||||||
\(132\) | −1.57810 | + | 0.285126i | −0.137356 | + | 0.0248170i | ||||
\(133\) | 8.81621 | − | 10.0253i | 0.764462 | − | 0.869303i | ||||
\(134\) | 2.35304 | + | 1.70958i | 0.203272 | + | 0.147686i | ||||
\(135\) | 4.05911 | − | 0.862791i | 0.349353 | − | 0.0742572i | ||||
\(136\) | 10.6208 | + | 2.25752i | 0.910726 | + | 0.193581i | ||||
\(137\) | 1.62834 | + | 15.4926i | 0.139118 | + | 1.32362i | 0.811908 | + | 0.583786i | \(0.198429\pi\) |
−0.672790 | + | 0.739834i | \(0.734904\pi\) | |||||||
\(138\) | 1.42648 | + | 0.635111i | 0.121430 | + | 0.0540643i | ||||
\(139\) | 5.54456 | + | 17.0644i | 0.470284 | + | 1.44738i | 0.852214 | + | 0.523193i | \(0.175259\pi\) |
−0.381930 | + | 0.924191i | \(0.624741\pi\) | |||||||
\(140\) | 5.30834 | − | 0.0622359i | 0.448637 | − | 0.00525989i | ||||
\(141\) | 4.84681 | + | 3.52141i | 0.408175 | + | 0.296557i | ||||
\(142\) | −3.24766 | − | 5.62511i | −0.272537 | − | 0.472048i | ||||
\(143\) | −5.35050 | + | 3.64187i | −0.447431 | + | 0.304548i | ||||
\(144\) | 2.36662 | − | 4.09911i | 0.197219 | − | 0.341593i | ||||
\(145\) | 1.19786 | − | 11.3968i | 0.0994766 | − | 0.946457i | ||||
\(146\) | 2.29465 | − | 7.06219i | 0.189906 | − | 0.584471i | ||||
\(147\) | 6.32631 | − | 2.99630i | 0.521785 | − | 0.247131i | ||||
\(148\) | 1.24757 | − | 0.906413i | 0.102550 | − | 0.0745067i | ||||
\(149\) | 3.55557 | + | 1.58304i | 0.291284 | + | 0.129688i | 0.547176 | − | 0.837017i | \(-0.315703\pi\) |
−0.255893 | + | 0.966705i | \(0.582369\pi\) | |||||||
\(150\) | 18.8381 | + | 4.00416i | 1.53813 | + | 0.326939i | ||||
\(151\) | 1.08676 | + | 1.20697i | 0.0884395 | + | 0.0982220i | 0.785740 | − | 0.618557i | \(-0.212282\pi\) |
−0.697301 | + | 0.716779i | \(0.745616\pi\) | |||||||
\(152\) | 1.26052 | − | 11.9930i | 0.102242 | − | 0.972764i | ||||
\(153\) | −4.54341 | −0.367313 | ||||||||
\(154\) | −13.5785 | + | 2.61807i | −1.09419 | + | 0.210970i | ||||
\(155\) | 19.2876 | 1.54922 | ||||||||
\(156\) | −0.0986306 | + | 0.938408i | −0.00789677 | + | 0.0751327i | ||||
\(157\) | −5.54667 | − | 6.16020i | −0.442673 | − | 0.491638i | 0.479975 | − | 0.877282i | \(-0.340646\pi\) |
−0.922647 | + | 0.385645i | \(0.873979\pi\) | |||||||
\(158\) | −1.99950 | − | 0.425008i | −0.159072 | − | 0.0338118i | ||||
\(159\) | 8.86428 | + | 3.94663i | 0.702983 | + | 0.312988i | ||||
\(160\) | 8.99579 | − | 6.53582i | 0.711180 | − | 0.516702i | ||||
\(161\) | 2.40721 | + | 1.03812i | 0.189714 | + | 0.0818150i | ||||
\(162\) | −0.486986 | + | 1.49879i | −0.0382612 | + | 0.117756i | ||||
\(163\) | 0.269230 | − | 2.56155i | 0.0210877 | − | 0.200636i | −0.978906 | − | 0.204313i | \(-0.934504\pi\) |
0.999993 | + | 0.00367718i | \(0.00117049\pi\) | |||||||
\(164\) | 2.53044 | − | 4.38285i | 0.197594 | − | 0.342243i | ||||
\(165\) | −13.7568 | − | 0.422346i | −1.07097 | − | 0.0328796i | ||||
\(166\) | −1.07366 | − | 1.85964i | −0.0833324 | − | 0.144336i | ||||
\(167\) | 10.9144 | + | 7.92980i | 0.844584 | + | 0.613626i | 0.923647 | − | 0.383243i | \(-0.125193\pi\) |
−0.0790634 | + | 0.996870i | \(0.525193\pi\) | |||||||
\(168\) | 3.09706 | − | 5.51252i | 0.238944 | − | 0.425300i | ||||
\(169\) | −2.84040 | − | 8.74185i | −0.218492 | − | 0.672450i | ||||
\(170\) | −27.1439 | − | 12.0852i | −2.08184 | − | 0.926896i | ||||
\(171\) | 0.527447 | + | 5.01832i | 0.0403348 | + | 0.383760i | ||||
\(172\) | −1.81170 | − | 0.385089i | −0.138141 | − | 0.0293627i | ||||
\(173\) | −0.496584 | + | 0.105552i | −0.0377546 | + | 0.00802498i | −0.226750 | − | 0.973953i | \(-0.572810\pi\) |
0.188996 | + | 0.981978i | \(0.439477\pi\) | |||||||
\(174\) | 3.52075 | + | 2.55797i | 0.266907 | + | 0.193920i | ||||
\(175\) | 31.7033 | + | 6.35121i | 2.39654 | + | 0.480107i | ||||
\(176\) | −10.8573 | + | 11.3384i | −0.818402 | + | 0.854661i | ||||
\(177\) | 3.28626 | + | 5.69196i | 0.247010 | + | 0.427834i | ||||
\(178\) | −22.4558 | + | 9.99798i | −1.68313 | + | 0.749380i | ||||
\(179\) | −10.3026 | − | 11.4422i | −0.770053 | − | 0.855231i | 0.222764 | − | 0.974872i | \(-0.428492\pi\) |
−0.992817 | + | 0.119642i | \(0.961825\pi\) | |||||||
\(180\) | −1.34261 | + | 1.49112i | −0.100072 | + | 0.111142i | ||||
\(181\) | 18.9457 | − | 13.7649i | 1.40822 | − | 1.02313i | 0.414646 | − | 0.909983i | \(-0.363905\pi\) |
0.993578 | − | 0.113152i | \(-0.0360946\pi\) | |||||||
\(182\) | −0.755589 | + | 8.10151i | −0.0560080 | + | 0.600524i | ||||
\(183\) | −2.33584 | − | 7.18897i | −0.172670 | − | 0.531424i | ||||
\(184\) | 2.31621 | − | 0.492326i | 0.170753 | − | 0.0362947i | ||||
\(185\) | 12.0907 | − | 5.38312i | 0.888925 | − | 0.395775i | ||||
\(186\) | −3.66232 | + | 6.34332i | −0.268534 | + | 0.465115i | ||||
\(187\) | 14.6364 | + | 3.58380i | 1.07032 | + | 0.262074i | ||||
\(188\) | −2.89675 | −0.211267 | ||||||||
\(189\) | −0.788027 | + | 2.52567i | −0.0573205 | + | 0.183716i | ||||
\(190\) | −10.1973 | + | 31.3842i | −0.739792 | + | 2.27685i | ||||
\(191\) | −15.7352 | + | 17.4757i | −1.13856 | + | 1.26450i | −0.178736 | + | 0.983897i | \(0.557201\pi\) |
−0.959824 | + | 0.280602i | \(0.909466\pi\) | |||||||
\(192\) | −0.548127 | − | 5.21508i | −0.0395577 | − | 0.376366i | ||||
\(193\) | −2.26304 | − | 21.5314i | −0.162897 | − | 1.54986i | −0.704789 | − | 0.709417i | \(-0.748959\pi\) |
0.541892 | − | 0.840448i | \(-0.317708\pi\) | |||||||
\(194\) | 3.92116 | − | 4.35489i | 0.281523 | − | 0.312663i | ||||
\(195\) | −2.50249 | + | 7.70188i | −0.179207 | + | 0.551543i | ||||
\(196\) | −1.62313 | + | 2.97005i | −0.115938 | + | 0.212146i | ||||
\(197\) | −15.2088 | −1.08358 | −0.541790 | − | 0.840514i | \(-0.682253\pi\) | ||||
−0.541790 | + | 0.840514i | \(0.682253\pi\) | |||||||
\(198\) | 2.75104 | − | 4.44415i | 0.195508 | − | 0.315832i | ||||
\(199\) | −6.60469 | + | 11.4397i | −0.468194 | + | 0.810936i | −0.999339 | − | 0.0363450i | \(-0.988428\pi\) |
0.531145 | + | 0.847281i | \(0.321762\pi\) | |||||||
\(200\) | 26.6809 | − | 11.8791i | 1.88662 | − | 0.839979i | ||||
\(201\) | −1.80527 | + | 0.383722i | −0.127334 | + | 0.0270657i | ||||
\(202\) | 5.59000 | + | 17.2043i | 0.393311 | + | 1.21049i | ||||
\(203\) | 5.96080 | + | 4.22490i | 0.418366 | + | 0.296530i | ||||
\(204\) | 1.77727 | − | 1.29126i | 0.124434 | − | 0.0904063i | ||||
\(205\) | 29.0636 | − | 32.2784i | 2.02989 | − | 2.25442i | ||||
\(206\) | −6.29703 | − | 6.99356i | −0.438735 | − | 0.487264i | ||||
\(207\) | −0.905176 | + | 0.403010i | −0.0629141 | + | 0.0280111i | ||||
\(208\) | 4.61842 | + | 7.99933i | 0.320230 | + | 0.554654i | ||||
\(209\) | 2.25926 | − | 16.5824i | 0.156276 | − | 1.14703i | ||||
\(210\) | −11.4261 | + | 12.9931i | −0.788476 | + | 0.896610i | ||||
\(211\) | 9.82946 | + | 7.14152i | 0.676688 | + | 0.491643i | 0.872257 | − | 0.489047i | \(-0.162655\pi\) |
−0.195569 | + | 0.980690i | \(0.562655\pi\) | |||||||
\(212\) | −4.58913 | + | 0.975450i | −0.315183 | + | 0.0669942i | ||||
\(213\) | 4.03154 | + | 0.856930i | 0.276236 | + | 0.0587159i | ||||
\(214\) | −0.629034 | − | 5.98486i | −0.0429999 | − | 0.409117i | ||||
\(215\) | −14.5220 | − | 6.46559i | −0.990389 | − | 0.440950i | ||||
\(216\) | 0.738505 | + | 2.27288i | 0.0502489 | + | 0.154650i | ||||
\(217\) | −6.02326 | + | 10.7209i | −0.408886 | + | 0.727783i | ||||
\(218\) | 6.43209 | + | 4.67319i | 0.435636 | + | 0.316508i | ||||
\(219\) | 2.35597 | + | 4.08066i | 0.159202 | + | 0.275745i | ||||
\(220\) | 5.50136 | − | 3.74455i | 0.370901 | − | 0.252457i | ||||
\(221\) | 4.43319 | − | 7.67851i | 0.298208 | − | 0.516512i | ||||
\(222\) | −0.525367 | + | 4.99853i | −0.0352603 | + | 0.335479i | ||||
\(223\) | −3.00327 | + | 9.24310i | −0.201114 | + | 0.618964i | 0.798737 | + | 0.601680i | \(0.205502\pi\) |
−0.999851 | + | 0.0172836i | \(0.994498\pi\) | |||||||
\(224\) | 0.823639 | + | 7.04131i | 0.0550317 | + | 0.470467i | ||||
\(225\) | −9.88683 | + | 7.18320i | −0.659122 | + | 0.478880i | ||||
\(226\) | 22.1710 | + | 9.87118i | 1.47479 | + | 0.656621i | ||||
\(227\) | 19.1597 | + | 4.07251i | 1.27167 | + | 0.270302i | 0.793828 | − | 0.608142i | \(-0.208085\pi\) |
0.477844 | + | 0.878445i | \(0.341418\pi\) | |||||||
\(228\) | −1.63256 | − | 1.81314i | −0.108119 | − | 0.120078i | ||||
\(229\) | 0.340065 | − | 3.23550i | 0.0224721 | − | 0.213808i | −0.977523 | − | 0.210827i | \(-0.932384\pi\) |
0.999996 | − | 0.00298126i | \(-0.000948965\pi\) | |||||||
\(230\) | −6.47982 | −0.427267 | ||||||||
\(231\) | 4.53083 | − | 7.51476i | 0.298106 | − | 0.494435i | ||||
\(232\) | 6.59956 | 0.433282 | ||||||||
\(233\) | −2.97905 | + | 28.3438i | −0.195164 | + | 1.85686i | 0.258916 | + | 0.965900i | \(0.416635\pi\) |
−0.454080 | + | 0.890961i | \(0.650032\pi\) | |||||||
\(234\) | −2.05783 | − | 2.28545i | −0.134524 | − | 0.149404i | ||||
\(235\) | −24.3181 | − | 5.16897i | −1.58634 | − | 0.337186i | ||||
\(236\) | −2.90319 | − | 1.29258i | −0.188981 | − | 0.0841399i | ||||
\(237\) | 1.04940 | − | 0.762435i | 0.0681660 | − | 0.0495255i | ||||
\(238\) | 15.1942 | − | 11.3137i | 0.984893 | − | 0.733360i | ||||
\(239\) | 0.503891 | − | 1.55082i | 0.0325940 | − | 0.100314i | −0.933436 | − | 0.358744i | \(-0.883205\pi\) |
0.966030 | + | 0.258430i | \(0.0832051\pi\) | |||||||
\(240\) | −2.05315 | + | 19.5344i | −0.132530 | + | 1.26094i | ||||
\(241\) | −2.73011 | + | 4.72869i | −0.175862 | + | 0.304602i | −0.940459 | − | 0.339907i | \(-0.889605\pi\) |
0.764597 | + | 0.644508i | \(0.222938\pi\) | |||||||
\(242\) | −12.3679 | + | 12.1467i | −0.795036 | + | 0.780818i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 2.95686 | + | 2.14829i | 0.189294 | + | 0.137530i | ||||
\(245\) | −18.9258 | + | 22.0371i | −1.20913 | + | 1.40790i | ||||
\(246\) | 5.09716 | + | 15.6875i | 0.324983 | + | 1.00020i | ||||
\(247\) | −8.99576 | − | 4.00517i | −0.572387 | − | 0.254843i | ||||
\(248\) | 1.16107 | + | 11.0468i | 0.0737279 | + | 0.701474i | ||||
\(249\) | 1.33281 | + | 0.283298i | 0.0844635 | + | 0.0179533i | ||||
\(250\) | −46.1901 | + | 9.81802i | −2.92132 | + | 0.620946i | ||||
\(251\) | −15.8982 | − | 11.5507i | −1.00348 | − | 0.729073i | −0.0406509 | − | 0.999173i | \(-0.512943\pi\) |
−0.962832 | + | 0.270100i | \(0.912943\pi\) | |||||||
\(252\) | −0.409552 | − | 1.21194i | −0.0257994 | − | 0.0763450i | ||||
\(253\) | 3.23388 | − | 0.584287i | 0.203312 | − | 0.0367338i | ||||
\(254\) | 12.3570 | + | 21.4030i | 0.775347 | + | 1.34294i | ||||
\(255\) | 17.2242 | − | 7.66870i | 1.07862 | − | 0.480233i | ||||
\(256\) | 7.34762 | + | 8.16036i | 0.459226 | + | 0.510023i | ||||
\(257\) | −6.69460 | + | 7.43511i | −0.417598 | + | 0.463789i | −0.914836 | − | 0.403825i | \(-0.867681\pi\) |
0.497239 | + | 0.867614i | \(0.334347\pi\) | |||||||
\(258\) | 4.88382 | − | 3.54830i | 0.304054 | − | 0.220908i | ||||
\(259\) | −0.783578 | + | 8.40161i | −0.0486891 | + | 0.522051i | ||||
\(260\) | −1.21000 | − | 3.72400i | −0.0750411 | − | 0.230953i | ||||
\(261\) | −2.70115 | + | 0.574147i | −0.167197 | + | 0.0355388i | ||||
\(262\) | −15.5251 | + | 6.91221i | −0.959142 | + | 0.427038i | ||||
\(263\) | 3.33921 | − | 5.78367i | 0.205904 | − | 0.356637i | −0.744516 | − | 0.667604i | \(-0.767320\pi\) |
0.950420 | + | 0.310968i | \(0.100653\pi\) | |||||||
\(264\) | −0.586232 | − | 7.90453i | −0.0360801 | − | 0.486490i | ||||
\(265\) | −40.2661 | −2.47353 | ||||||||
\(266\) | −14.2602 | − | 15.4690i | −0.874350 | − | 0.948463i | ||||
\(267\) | 4.82000 | − | 14.8344i | 0.294979 | − | 0.907854i | ||||
\(268\) | 0.597121 | − | 0.663170i | 0.0364750 | − | 0.0405096i | ||||
\(269\) | −2.88285 | − | 27.4285i | −0.175771 | − | 1.67235i | −0.626299 | − | 0.779583i | \(-0.715431\pi\) |
0.450528 | − | 0.892762i | \(-0.351236\pi\) | |||||||
\(270\) | −0.683589 | − | 6.50391i | −0.0416019 | − | 0.395815i | ||||
\(271\) | 2.90164 | − | 3.22259i | 0.176262 | − | 0.195759i | −0.648540 | − | 0.761181i | \(-0.724620\pi\) |
0.824802 | + | 0.565422i | \(0.191287\pi\) | |||||||
\(272\) | 6.64544 | − | 20.4526i | 0.402939 | − | 1.24012i | ||||
\(273\) | −3.49955 | − | 3.79619i | −0.211803 | − | 0.229756i | ||||
\(274\) | 24.5495 | 1.48309 | ||||||||
\(275\) | 37.5161 | − | 15.3418i | 2.26230 | − | 0.925142i | ||||
\(276\) | 0.239544 | − | 0.414903i | 0.0144189 | − | 0.0249742i | ||||
\(277\) | −6.98732 | + | 3.11096i | −0.419827 | + | 0.186919i | −0.605767 | − | 0.795642i | \(-0.707134\pi\) |
0.185940 | + | 0.982561i | \(0.440467\pi\) | |||||||
\(278\) | 27.6581 | − | 5.87892i | 1.65883 | − | 0.352594i | ||||
\(279\) | −1.43627 | − | 4.42037i | −0.0859870 | − | 0.264641i | ||||
\(280\) | −2.43660 | + | 26.1256i | −0.145615 | + | 1.56130i | ||||
\(281\) | 9.49612 | − | 6.89934i | 0.566491 | − | 0.411580i | −0.267338 | − | 0.963603i | \(-0.586144\pi\) |
0.833829 | + | 0.552023i | \(0.186144\pi\) | |||||||
\(282\) | 6.31747 | − | 7.01626i | 0.376200 | − | 0.417812i | ||||
\(283\) | −5.06137 | − | 5.62122i | −0.300867 | − | 0.334147i | 0.573687 | − | 0.819075i | \(-0.305513\pi\) |
−0.874554 | + | 0.484928i | \(0.838846\pi\) | |||||||
\(284\) | −1.82058 | + | 0.810574i | −0.108032 | + | 0.0480987i | ||||
\(285\) | −10.4698 | − | 18.1343i | −0.620180 | − | 1.07418i | ||||
\(286\) | 4.82646 | + | 8.98567i | 0.285395 | + | 0.531334i | ||||
\(287\) | 8.86561 | + | 26.2350i | 0.523321 | + | 1.54860i | ||||
\(288\) | −2.16777 | − | 1.57498i | −0.127737 | − | 0.0928063i | ||||
\(289\) | −3.56299 | + | 0.757336i | −0.209587 | + | 0.0445492i | ||||
\(290\) | −17.6648 | − | 3.75477i | −1.03731 | − | 0.220488i | ||||
\(291\) | 0.388691 | + | 3.69815i | 0.0227855 | + | 0.216789i | ||||
\(292\) | −2.08134 | − | 0.926672i | −0.121801 | − | 0.0542294i | ||||
\(293\) | 4.69184 | + | 14.4400i | 0.274100 | + | 0.843594i | 0.989456 | + | 0.144834i | \(0.0462647\pi\) |
−0.715356 | + | 0.698760i | \(0.753735\pi\) | |||||||
\(294\) | −3.65394 | − | 10.4087i | −0.213102 | − | 0.607048i | ||||
\(295\) | −22.0656 | − | 16.0316i | −1.28471 | − | 0.933396i | ||||
\(296\) | 3.81097 | + | 6.60079i | 0.221508 | + | 0.383663i | ||||
\(297\) | 0.927617 | + | 3.18426i | 0.0538258 | + | 0.184770i | ||||
\(298\) | 3.06678 | − | 5.31182i | 0.177654 | − | 0.307706i | ||||
\(299\) | 0.202116 | − | 1.92301i | 0.0116887 | − | 0.111210i | ||||
\(300\) | 1.82597 | − | 5.61977i | 0.105423 | − | 0.324458i | ||||
\(301\) | 8.12887 | − | 6.05283i | 0.468540 | − | 0.348879i | ||||
\(302\) | 2.07069 | − | 1.50444i | 0.119155 | − | 0.0865711i | ||||
\(303\) | −10.4864 | − | 4.66884i | −0.602428 | − | 0.268218i | ||||
\(304\) | −23.3619 | − | 4.96572i | −1.33989 | − | 0.284803i | ||||
\(305\) | 20.9893 | + | 23.3110i | 1.20184 | + | 1.33478i | ||||
\(306\) | −0.748428 | + | 7.12082i | −0.0427848 | + | 0.407070i | ||||
\(307\) | −11.8851 | −0.678321 | −0.339161 | − | 0.940729i | \(-0.610143\pi\) | ||||
−0.339161 | + | 0.940729i | \(0.610143\pi\) | |||||||
\(308\) | 0.363389 | + | 4.22727i | 0.0207060 | + | 0.240871i | ||||
\(309\) | 5.97160 | 0.339713 | ||||||||
\(310\) | 3.17722 | − | 30.2292i | 0.180454 | − | 1.71690i | ||||
\(311\) | −11.8544 | − | 13.1657i | −0.672204 | − | 0.746558i | 0.306492 | − | 0.951873i | \(-0.400845\pi\) |
−0.978696 | + | 0.205315i | \(0.934178\pi\) | |||||||
\(312\) | −4.56183 | − | 0.969647i | −0.258263 | − | 0.0548955i | ||||
\(313\) | 11.9046 | + | 5.30028i | 0.672889 | + | 0.299589i | 0.714593 | − | 0.699541i | \(-0.246612\pi\) |
−0.0417040 | + | 0.999130i | \(0.513279\pi\) | |||||||
\(314\) | −10.5685 | + | 7.67846i | −0.596414 | + | 0.433320i | ||||
\(315\) | −1.27558 | − | 10.9050i | −0.0718709 | − | 0.614426i | ||||
\(316\) | −0.193812 | + | 0.596491i | −0.0109028 | + | 0.0335552i | ||||
\(317\) | 1.71202 | − | 16.2888i | 0.0961567 | − | 0.914870i | −0.835000 | − | 0.550250i | \(-0.814532\pi\) |
0.931157 | − | 0.364620i | \(-0.118801\pi\) | |||||||
\(318\) | 7.64569 | − | 13.2427i | 0.428749 | − | 0.742615i | ||||
\(319\) | 9.15452 | + | 0.281051i | 0.512555 | + | 0.0157358i | ||||
\(320\) | 10.8804 | + | 18.8453i | 0.608231 | + | 1.05349i | ||||
\(321\) | 3.08932 | + | 2.24453i | 0.172429 | + | 0.125277i | ||||
\(322\) | 2.02356 | − | 3.60177i | 0.112768 | − | 0.200719i | ||||
\(323\) | 7.08449 | + | 21.8038i | 0.394191 | + | 1.21320i | ||||
\(324\) | 0.441716 | + | 0.196665i | 0.0245398 | + | 0.0109258i | ||||
\(325\) | −2.49286 | − | 23.7180i | −0.138279 | − | 1.31564i | ||||
\(326\) | −3.97033 | − | 0.843920i | −0.219896 | − | 0.0467404i | ||||
\(327\) | −4.93475 | + | 1.04891i | −0.272892 | + | 0.0580050i | ||||
\(328\) | 20.2368 | + | 14.7029i | 1.11739 | + | 0.811830i | ||||
\(329\) | 10.4673 | − | 11.9029i | 0.577083 | − | 0.656226i | ||||
\(330\) | −2.92808 | + | 21.4913i | −0.161185 | + | 1.18306i | ||||
\(331\) | 1.64859 | + | 2.85543i | 0.0906145 | + | 0.156949i | 0.907770 | − | 0.419469i | \(-0.137784\pi\) |
−0.817155 | + | 0.576417i | \(0.804450\pi\) | |||||||
\(332\) | −0.601877 | + | 0.267973i | −0.0330323 | + | 0.0147069i | ||||
\(333\) | −2.13405 | − | 2.37011i | −0.116945 | − | 0.129881i | ||||
\(334\) | 14.2262 | − | 15.7998i | 0.778421 | − | 0.864525i | ||||
\(335\) | 6.19616 | − | 4.50177i | 0.338532 | − | 0.245958i | ||||
\(336\) | −10.2169 | − | 7.24155i | −0.557378 | − | 0.395059i | ||||
\(337\) | 9.76850 | + | 30.0644i | 0.532124 | + | 1.63771i | 0.749782 | + | 0.661685i | \(0.230158\pi\) |
−0.217658 | + | 0.976025i | \(0.569842\pi\) | |||||||
\(338\) | −14.1689 | + | 3.01169i | −0.770685 | + | 0.163814i | ||||
\(339\) | −14.0686 | + | 6.26376i | −0.764104 | + | 0.340201i | ||||
\(340\) | −4.55818 | + | 7.89500i | −0.247202 | + | 0.428167i | ||||
\(341\) | 1.14012 | + | 15.3730i | 0.0617411 | + | 0.832493i | ||||
\(342\) | 7.95202 | 0.429996 | ||||||||
\(343\) | −6.33890 | − | 17.4017i | −0.342268 | − | 0.939602i | ||||
\(344\) | 2.82893 | − | 8.70654i | 0.152526 | − | 0.469425i | ||||
\(345\) | 2.75131 | − | 3.05564i | 0.148126 | − | 0.164510i | ||||
\(346\) | 0.0836289 | + | 0.795676i | 0.00449592 | + | 0.0427758i | ||||
\(347\) | 3.50845 | + | 33.3806i | 0.188343 | + | 1.79197i | 0.525782 | + | 0.850619i | \(0.323773\pi\) |
−0.337439 | + | 0.941348i | \(0.609561\pi\) | |||||||
\(348\) | 0.893445 | − | 0.992271i | 0.0478937 | − | 0.0531913i | ||||
\(349\) | 3.38656 | − | 10.4228i | 0.181279 | − | 0.557918i | −0.818586 | − | 0.574384i | \(-0.805242\pi\) |
0.999864 | + | 0.0164660i | \(0.00524152\pi\) | |||||||
\(350\) | 15.1766 | − | 48.6418i | 0.811223 | − | 2.60001i | ||||
\(351\) | 1.95148 | 0.104162 | ||||||||
\(352\) | 5.74105 | + | 6.78364i | 0.305999 | + | 0.361569i | ||||
\(353\) | 15.1279 | − | 26.2023i | 0.805177 | − | 1.39461i | −0.110995 | − | 0.993821i | \(-0.535404\pi\) |
0.916172 | − | 0.400786i | \(-0.131263\pi\) | |||||||
\(354\) | 9.46227 | − | 4.21288i | 0.502914 | − | 0.223912i | ||||
\(355\) | −16.7301 | + | 3.55608i | −0.887939 | + | 0.188737i | ||||
\(356\) | 2.33056 | + | 7.17273i | 0.123520 | + | 0.380154i | ||||
\(357\) | −1.11627 | + | 11.9688i | −0.0590793 | + | 0.633456i | ||||
\(358\) | −19.6303 | + | 14.2623i | −1.03750 | + | 0.753785i | ||||
\(359\) | 13.5342 | − | 15.0313i | 0.714309 | − | 0.793320i | −0.271276 | − | 0.962502i | \(-0.587446\pi\) |
0.985585 | + | 0.169181i | \(0.0541123\pi\) | |||||||
\(360\) | −6.63603 | − | 7.37006i | −0.349749 | − | 0.388436i | ||||
\(361\) | 5.90308 | − | 2.62822i | 0.310688 | − | 0.138327i | ||||
\(362\) | −18.4526 | − | 31.9608i | −0.969846 | − | 1.67982i | ||||
\(363\) | −0.476562 | − | 10.9897i | −0.0250130 | − | 0.576808i | ||||
\(364\) | 2.44783 | + | 0.490382i | 0.128301 | + | 0.0257030i | ||||
\(365\) | −15.8192 | − | 11.4933i | −0.828013 | − | 0.601587i | ||||
\(366\) | −11.6520 | + | 2.47670i | −0.609057 | + | 0.129459i | ||||
\(367\) | −2.30627 | − | 0.490212i | −0.120386 | − | 0.0255889i | 0.147325 | − | 0.989088i | \(-0.452934\pi\) |
−0.267711 | + | 0.963499i | \(0.586267\pi\) | |||||||
\(368\) | −0.490226 | − | 4.66419i | −0.0255548 | − | 0.243138i | ||||
\(369\) | −9.56187 | − | 4.25722i | −0.497771 | − | 0.221622i | ||||
\(370\) | −6.44521 | − | 19.8363i | −0.335070 | − | 1.03124i | ||||
\(371\) | 12.5745 | − | 22.3817i | 0.652838 | − | 1.16200i | ||||
\(372\) | 1.81812 | + | 1.32094i | 0.0942653 | + | 0.0684877i | ||||
\(373\) | 8.05587 | + | 13.9532i | 0.417117 | + | 0.722468i | 0.995648 | − | 0.0931924i | \(-0.0297072\pi\) |
−0.578531 | + | 0.815660i | \(0.696374\pi\) | |||||||
\(374\) | 8.02788 | − | 22.3491i | 0.415112 | − | 1.15564i | ||||
\(375\) | 14.9824 | − | 25.9503i | 0.773688 | − | 1.34007i | ||||
\(376\) | 1.49659 | − | 14.2391i | 0.0771809 | − | 0.734327i | ||||
\(377\) | 1.66529 | − | 5.12524i | 0.0857669 | − | 0.263963i | ||||
\(378\) | 3.82864 | + | 1.65111i | 0.196924 | + | 0.0849241i | ||||
\(379\) | −22.4027 | + | 16.2765i | −1.15075 | + | 0.836069i | −0.988581 | − | 0.150694i | \(-0.951849\pi\) |
−0.162170 | + | 0.986763i | \(0.551849\pi\) | |||||||
\(380\) | 9.24940 | + | 4.11810i | 0.474484 | + | 0.211254i | ||||
\(381\) | −15.3396 | − | 3.26053i | −0.785871 | − | 0.167042i | ||||
\(382\) | 24.7974 | + | 27.5403i | 1.26875 | + | 1.40909i | ||||
\(383\) | −1.59063 | + | 15.1339i | −0.0812775 | + | 0.773304i | 0.875644 | + | 0.482957i | \(0.160437\pi\) |
−0.956921 | + | 0.290347i | \(0.906229\pi\) | |||||||
\(384\) | −13.6228 | −0.695187 | ||||||||
\(385\) | −4.49251 | + | 36.1361i | −0.228960 | + | 1.84167i | ||||
\(386\) | −34.1186 | −1.73659 | ||||||||
\(387\) | −0.400408 | + | 3.80963i | −0.0203539 | + | 0.193654i | ||||
\(388\) | −1.20308 | − | 1.33615i | −0.0610771 | − | 0.0678330i | ||||
\(389\) | 5.68142 | + | 1.20762i | 0.288059 | + | 0.0612289i | 0.349675 | − | 0.936871i | \(-0.386292\pi\) |
−0.0616157 | + | 0.998100i | \(0.519625\pi\) | |||||||
\(390\) | 11.6588 | + | 5.19084i | 0.590367 | + | 0.262848i | ||||
\(391\) | −3.64202 | + | 2.64608i | −0.184185 | + | 0.133818i | ||||
\(392\) | −13.7608 | − | 9.51302i | −0.695027 | − | 0.480480i | ||||
\(393\) | 3.33236 | − | 10.2560i | 0.168095 | − | 0.517345i | ||||
\(394\) | −2.50532 | + | 23.8365i | −0.126216 | + | 1.20087i | ||||
\(395\) | −2.69142 | + | 4.66167i | −0.135420 | + | 0.234554i | ||||
\(396\) | −1.26784 | − | 0.981970i | −0.0637115 | − | 0.0493458i | ||||
\(397\) | 10.5158 | + | 18.2139i | 0.527772 | + | 0.914127i | 0.999476 | + | 0.0323706i | \(0.0103057\pi\) |
−0.471704 | + | 0.881757i | \(0.656361\pi\) | |||||||
\(398\) | 16.8412 | + | 12.2359i | 0.844174 | + | 0.613329i | ||||
\(399\) | 13.3494 | − | 0.156511i | 0.668308 | − | 0.00783535i | ||||
\(400\) | −17.8748 | − | 55.0129i | −0.893739 | − | 2.75065i | ||||
\(401\) | −0.291963 | − | 0.129990i | −0.0145800 | − | 0.00649141i | 0.399434 | − | 0.916762i | \(-0.369207\pi\) |
−0.414014 | + | 0.910271i | \(0.635873\pi\) | |||||||
\(402\) | 0.304023 | + | 2.89259i | 0.0151633 | + | 0.144269i | ||||
\(403\) | 8.87199 | + | 1.88580i | 0.441945 | + | 0.0939383i | ||||
\(404\) | 5.42892 | − | 1.15395i | 0.270099 | − | 0.0574113i | ||||
\(405\) | 3.35725 | + | 2.43919i | 0.166823 | + | 0.121204i | ||||
\(406\) | 7.60354 | − | 8.64631i | 0.377357 | − | 0.429109i | ||||
\(407\) | 5.00525 | + | 9.31852i | 0.248101 | + | 0.461902i | ||||
\(408\) | 5.42904 | + | 9.40337i | 0.268777 | + | 0.465536i | ||||
\(409\) | −8.94987 | + | 3.98474i | −0.442543 | + | 0.197033i | −0.615897 | − | 0.787827i | \(-0.711206\pi\) |
0.173354 | + | 0.984860i | \(0.444539\pi\) | |||||||
\(410\) | −45.8019 | − | 50.8682i | −2.26200 | − | 2.51220i | ||||
\(411\) | −10.4237 | + | 11.5766i | −0.514161 | + | 0.571034i | ||||
\(412\) | −2.33594 | + | 1.69716i | −0.115084 | + | 0.0836131i | ||||
\(413\) | 15.8019 | − | 7.25859i | 0.777558 | − | 0.357172i | ||||
\(414\) | 0.482524 | + | 1.48506i | 0.0237148 | + | 0.0729865i | ||||
\(415\) | −5.53089 | + | 1.17563i | −0.271501 | + | 0.0577093i | ||||
\(416\) | 4.77694 | − | 2.12683i | 0.234209 | − | 0.104276i | ||||
\(417\) | −8.97129 | + | 15.5387i | −0.439326 | + | 0.760935i | ||||
\(418\) | −25.6171 | − | 6.27249i | −1.25297 | − | 0.306797i | ||||
\(419\) | −24.4796 | −1.19591 | −0.597953 | − | 0.801531i | \(-0.704019\pi\) | ||||
−0.597953 | + | 0.801531i | \(0.704019\pi\) | |||||||
\(420\) | 3.59822 | + | 3.90322i | 0.175575 | + | 0.190458i | ||||
\(421\) | −2.19524 | + | 6.75624i | −0.106989 | + | 0.329279i | −0.990192 | − | 0.139712i | \(-0.955382\pi\) |
0.883203 | + | 0.468991i | \(0.155382\pi\) | |||||||
\(422\) | 12.8120 | − | 14.2292i | 0.623678 | − | 0.692664i | ||||
\(423\) | 0.626229 | + | 5.95817i | 0.0304483 | + | 0.289696i | ||||
\(424\) | −2.42392 | − | 23.0621i | −0.117716 | − | 1.11999i | ||||
\(425\) | −37.1529 | + | 41.2624i | −1.80218 | + | 2.00152i | ||||
\(426\) | 2.00716 | − | 6.17741i | 0.0972473 | − | 0.299296i | ||||
\(427\) | −19.5119 | + | 4.38709i | −0.944249 | + | 0.212306i | ||||
\(428\) | −1.84637 | −0.0892477 | ||||||||
\(429\) | −6.28661 | − | 1.53931i | −0.303521 | − | 0.0743186i | ||||
\(430\) | −12.5256 | + | 21.6950i | −0.604038 | + | 1.04623i | ||||
\(431\) | −7.01206 | + | 3.12197i | −0.337759 | + | 0.150380i | −0.568606 | − | 0.822610i | \(-0.692517\pi\) |
0.230847 | + | 0.972990i | \(0.425850\pi\) | |||||||
\(432\) | 4.62981 | − | 0.984097i | 0.222752 | − | 0.0473474i | ||||
\(433\) | 1.06654 | + | 3.28247i | 0.0512547 | + | 0.157746i | 0.973408 | − | 0.229080i | \(-0.0735716\pi\) |
−0.922153 | + | 0.386825i | \(0.873572\pi\) | |||||||
\(434\) | 15.8105 | + | 11.2062i | 0.758930 | + | 0.537915i | ||||
\(435\) | 9.27103 | − | 6.73580i | 0.444512 | − | 0.322957i | ||||
\(436\) | 1.63224 | − | 1.81279i | 0.0781702 | − | 0.0868168i | ||||
\(437\) | 3.34547 | + | 3.71552i | 0.160036 | + | 0.177738i | ||||
\(438\) | 6.78365 | − | 3.02028i | 0.324135 | − | 0.144314i | ||||
\(439\) | −15.7554 | − | 27.2892i | −0.751965 | − | 1.30244i | −0.946869 | − | 0.321619i | \(-0.895773\pi\) |
0.194905 | − | 0.980822i | \(-0.437560\pi\) | |||||||
\(440\) | 15.5643 | + | 28.9768i | 0.741997 | + | 1.38141i | ||||
\(441\) | 6.45981 | + | 2.69645i | 0.307610 | + | 0.128402i | ||||
\(442\) | −11.3041 | − | 8.21294i | −0.537683 | − | 0.390650i | ||||
\(443\) | 9.54727 | − | 2.02933i | 0.453604 | − | 0.0964166i | 0.0245567 | − | 0.999698i | \(-0.492183\pi\) |
0.429048 | + | 0.903282i | \(0.358849\pi\) | |||||||
\(444\) | 1.50838 | + | 0.320617i | 0.0715847 | + | 0.0152158i | ||||
\(445\) | 6.76591 | + | 64.3733i | 0.320735 | + | 3.05159i | ||||
\(446\) | 13.9919 | + | 6.22957i | 0.662533 | + | 0.294979i | ||||
\(447\) | 1.20271 | + | 3.70157i | 0.0568863 | + | 0.175078i | ||||
\(448\) | −13.8729 | + | 0.162648i | −0.655431 | + | 0.00768438i | ||||
\(449\) | −13.4686 | − | 9.78552i | −0.635623 | − | 0.461807i | 0.222720 | − | 0.974882i | \(-0.428506\pi\) |
−0.858344 | + | 0.513075i | \(0.828506\pi\) | |||||||
\(450\) | 9.62948 | + | 16.6788i | 0.453938 | + | 0.786244i | ||||
\(451\) | 27.4451 | + | 21.2568i | 1.29234 | + | 1.00094i | ||||
\(452\) | 3.72310 | − | 6.44860i | 0.175120 | − | 0.303317i | ||||
\(453\) | −0.169769 | + | 1.61524i | −0.00797644 | + | 0.0758908i | ||||
\(454\) | 9.53893 | − | 29.3578i | 0.447684 | − | 1.37783i | ||||
\(455\) | 19.6744 | + | 8.48464i | 0.922349 | + | 0.397766i | ||||
\(456\) | 9.75601 | − | 7.08816i | 0.456867 | − | 0.331933i | ||||
\(457\) | −11.6409 | − | 5.18288i | −0.544541 | − | 0.242445i | 0.115982 | − | 0.993251i | \(-0.462999\pi\) |
−0.660523 | + | 0.750806i | \(0.729665\pi\) | |||||||
\(458\) | −5.01494 | − | 1.06596i | −0.234333 | − | 0.0498090i | ||||
\(459\) | −3.04014 | − | 3.37641i | −0.141901 | − | 0.157597i | ||||
\(460\) | −0.207815 | + | 1.97723i | −0.00968943 | + | 0.0921887i | ||||
\(461\) | 5.21592 | 0.242929 | 0.121465 | − | 0.992596i | \(-0.461241\pi\) | ||||
0.121465 | + | 0.992596i | \(0.461241\pi\) | |||||||
\(462\) | −11.0314 | − | 8.33899i | −0.513228 | − | 0.387965i | ||||
\(463\) | −10.6551 | −0.495186 | −0.247593 | − | 0.968864i | \(-0.579640\pi\) | ||||
−0.247593 | + | 0.968864i | \(0.579640\pi\) | |||||||
\(464\) | 1.36627 | − | 12.9992i | 0.0634277 | − | 0.603474i | ||||
\(465\) | 12.9059 | + | 14.3335i | 0.598499 | + | 0.664700i | ||||
\(466\) | 43.9320 | + | 9.33804i | 2.03511 | + | 0.432576i | ||||
\(467\) | −27.1213 | − | 12.0752i | −1.25503 | − | 0.558773i | −0.331915 | − | 0.943309i | \(-0.607695\pi\) |
−0.923110 | + | 0.384536i | \(0.874361\pi\) | |||||||
\(468\) | −0.763369 | + | 0.554620i | −0.0352868 | + | 0.0256373i | ||||
\(469\) | 0.567310 | + | 4.84994i | 0.0261959 | + | 0.223949i | ||||
\(470\) | −12.1071 | + | 37.2619i | −0.558460 | + | 1.71876i | ||||
\(471\) | 0.866475 | − | 8.24396i | 0.0399251 | − | 0.379862i | ||||
\(472\) | 7.85367 | − | 13.6029i | 0.361494 | − | 0.626126i | ||||
\(473\) | 4.29490 | − | 11.9567i | 0.197480 | − | 0.549771i | ||||
\(474\) | −1.02209 | − | 1.77031i | −0.0469460 | − | 0.0813129i | ||||
\(475\) | 49.8885 | + | 36.2461i | 2.28904 | + | 1.66309i | ||||
\(476\) | −2.96493 | − | 4.99914i | −0.135898 | − | 0.229135i | ||||
\(477\) | 2.99844 | + | 9.22825i | 0.137289 | + | 0.422533i | ||||
\(478\) | −2.34757 | − | 1.04520i | −0.107375 | − | 0.0478066i | ||||
\(479\) | 2.30834 | + | 21.9624i | 0.105471 | + | 1.00349i | 0.911413 | + | 0.411493i | \(0.134992\pi\) |
−0.805942 | + | 0.591994i | \(0.798341\pi\) | |||||||
\(480\) | 10.8764 | + | 2.31186i | 0.496439 | + | 0.105521i | ||||
\(481\) | 6.08783 | − | 1.29401i | 0.277581 | − | 0.0590017i | ||||
\(482\) | 6.96148 | + | 5.05781i | 0.317087 | + | 0.230377i | ||||
\(483\) | 0.839265 | + | 2.48354i | 0.0381879 | + | 0.113005i | ||||
\(484\) | 3.30974 | + | 4.16344i | 0.150443 | + | 0.189247i | ||||
\(485\) | −7.71555 | − | 13.3637i | −0.350345 | − | 0.606815i | ||||
\(486\) | −1.43967 | + | 0.640984i | −0.0653049 | + | 0.0290756i | ||||
\(487\) | −21.7035 | − | 24.1042i | −0.983480 | − | 1.09227i | −0.995727 | − | 0.0923406i | \(-0.970565\pi\) |
0.0122472 | − | 0.999925i | \(-0.496102\pi\) | |||||||
\(488\) | −12.0877 | + | 13.4247i | −0.547183 | + | 0.607708i | ||||
\(489\) | 2.08375 | − | 1.51394i | 0.0942306 | − | 0.0684626i | ||||
\(490\) | 31.4207 | + | 33.2923i | 1.41944 | + | 1.50399i | ||||
\(491\) | −1.64832 | − | 5.07301i | −0.0743877 | − | 0.228942i | 0.906949 | − | 0.421241i | \(-0.138405\pi\) |
−0.981336 | + | 0.192300i | \(0.938405\pi\) | |||||||
\(492\) | 4.95028 | − | 1.05222i | 0.223176 | − | 0.0474375i | ||||
\(493\) | −11.4619 | + | 5.10316i | −0.516217 | + | 0.229835i | ||||
\(494\) | −7.75911 | + | 13.4392i | −0.349099 | + | 0.604657i | ||||
\(495\) | −8.89125 | − | 10.5059i | −0.399632 | − | 0.472206i | ||||
\(496\) | 21.9994 | 0.987804 | ||||||||
\(497\) | 3.24794 | − | 10.4098i | 0.145690 | − | 0.466944i | ||||
\(498\) | 0.663560 | − | 2.04223i | 0.0297348 | − | 0.0915144i | ||||
\(499\) | −24.9790 | + | 27.7420i | −1.11821 | + | 1.24190i | −0.150837 | + | 0.988559i | \(0.548197\pi\) |
−0.967377 | + | 0.253343i | \(0.918470\pi\) | |||||||
\(500\) | 1.51446 | + | 14.4092i | 0.0677289 | + | 0.644397i | ||||
\(501\) | 1.41019 | + | 13.4171i | 0.0630027 | + | 0.599431i | ||||
\(502\) | −20.7221 | + | 23.0142i | −0.924873 | + | 1.02718i | ||||
\(503\) | −1.78265 | + | 5.48642i | −0.0794843 | + | 0.244627i | −0.982901 | − | 0.184137i | \(-0.941051\pi\) |
0.903416 | + | 0.428764i | \(0.141051\pi\) | |||||||
\(504\) | 6.16894 | − | 1.38703i | 0.274787 | − | 0.0617833i | ||||
\(505\) | 47.6346 | 2.11971 | ||||||||
\(506\) | −0.383032 | − | 5.16466i | −0.0170279 | − | 0.229597i | ||||
\(507\) | 4.59586 | − | 7.96027i | 0.204109 | − | 0.353528i | ||||
\(508\) | 6.92712 | − | 3.08415i | 0.307341 | − | 0.136837i | ||||
\(509\) | −3.26996 | + | 0.695052i | −0.144938 | + | 0.0308076i | −0.279810 | − | 0.960056i | \(-0.590271\pi\) |
0.134871 | + | 0.990863i | \(0.456938\pi\) | |||||||
\(510\) | −9.18173 | − | 28.2585i | −0.406574 | − | 1.25131i | ||||
\(511\) | 11.3286 | − | 5.20380i | 0.501147 | − | 0.230202i | ||||
\(512\) | −8.04222 | + | 5.84302i | −0.355419 | + | 0.258227i | ||||
\(513\) | −3.37641 | + | 3.74988i | −0.149072 | + | 0.165561i | ||||
\(514\) | 10.5501 | + | 11.7171i | 0.465347 | + | 0.516820i | ||||
\(515\) | −22.6385 | + | 10.0793i | −0.997572 | + | 0.444147i | ||||
\(516\) | −0.926087 | − | 1.60403i | −0.0407687 | − | 0.0706135i | ||||
\(517\) | 2.68238 | − | 19.6880i | 0.117971 | − | 0.865876i | ||||
\(518\) | 13.0386 | + | 2.61207i | 0.572885 | + | 0.114768i | ||||
\(519\) | −0.410720 | − | 0.298405i | −0.0180286 | − | 0.0130985i | ||||
\(520\) | 18.9307 | − | 4.02384i | 0.830164 | − | 0.176457i | ||||
\(521\) | −9.51115 | − | 2.02166i | −0.416691 | − | 0.0885704i | −0.00520499 | − | 0.999986i | \(-0.501657\pi\) |
−0.411486 | + | 0.911416i | \(0.634990\pi\) | |||||||
\(522\) | 0.454896 | + | 4.32805i | 0.0199103 | + | 0.189433i | ||||
\(523\) | 10.4166 | + | 4.63776i | 0.455485 | + | 0.202795i | 0.621637 | − | 0.783305i | \(-0.286468\pi\) |
−0.166153 | + | 0.986100i | \(0.553134\pi\) | |||||||
\(524\) | 1.61126 | + | 4.95895i | 0.0703882 | + | 0.216633i | ||||
\(525\) | 16.4937 | + | 27.8099i | 0.719846 | + | 1.21372i | ||||
\(526\) | −8.51461 | − | 6.18622i | −0.371254 | − | 0.269732i | ||||
\(527\) | −10.5586 | − | 18.2880i | −0.459938 | − | 0.796636i | ||||
\(528\) | −15.6910 | − | 0.481727i | −0.682864 | − | 0.0209645i | ||||
\(529\) | 11.0091 | − | 19.0684i | 0.478657 | − | 0.829059i | ||||
\(530\) | −6.63297 | + | 63.1085i | −0.288118 | + | 2.74126i | ||||
\(531\) | −2.03102 | + | 6.25083i | −0.0881387 | + | 0.271263i | ||||
\(532\) | −5.17748 | + | 3.85520i | −0.224472 | + | 0.167144i | ||||
\(533\) | 16.5247 | − | 12.0059i | 0.715765 | − | 0.520034i | ||||
\(534\) | −22.4558 | − | 9.99798i | −0.971758 | − | 0.432655i | ||||
\(535\) | −15.5002 | − | 3.29467i | −0.670131 | − | 0.142441i | ||||
\(536\) | 2.95135 | + | 3.27780i | 0.127479 | + | 0.141579i | ||||
\(537\) | 1.60943 | − | 15.3127i | 0.0694519 | − | 0.660790i | ||||
\(538\) | −43.4632 | −1.87383 | ||||||||
\(539\) | −18.6831 | − | 13.7819i | −0.804738 | − | 0.593630i | ||||
\(540\) | −2.00650 | −0.0863461 | ||||||||
\(541\) | −1.25117 | + | 11.9041i | −0.0537921 | + | 0.511798i | 0.934140 | + | 0.356908i | \(0.116169\pi\) |
−0.987932 | + | 0.154890i | \(0.950498\pi\) | |||||||
\(542\) | −4.57274 | − | 5.07854i | −0.196416 | − | 0.218142i | ||||
\(543\) | 22.9064 | + | 4.86892i | 0.983010 | + | 0.208945i | ||||
\(544\) | −11.1216 | − | 4.95166i | −0.476835 | − | 0.212301i | ||||
\(545\) | 16.9373 | − | 12.3057i | 0.725515 | − | 0.527118i | ||||
\(546\) | −6.52618 | + | 4.85946i | −0.279295 | + | 0.207966i | ||||
\(547\) | 0.385883 | − | 1.18762i | 0.0164991 | − | 0.0507791i | −0.942468 | − | 0.334296i | \(-0.891501\pi\) |
0.958967 | + | 0.283517i | \(0.0915013\pi\) | |||||||
\(548\) | 0.787330 | − | 7.49095i | 0.0336331 | − | 0.319997i | ||||
\(549\) | 3.77947 | − | 6.54623i | 0.161304 | − | 0.279386i | ||||
\(550\) | −17.8649 | − | 61.3256i | −0.761764 | − | 2.61493i | ||||
\(551\) | 6.96719 | + | 12.0675i | 0.296812 | + | 0.514094i | ||||
\(552\) | 1.91572 | + | 1.39185i | 0.0815383 | + | 0.0592410i | ||||
\(553\) | −1.75067 | − | 2.95178i | −0.0744461 | − | 0.125523i | ||||
\(554\) | 3.72475 | + | 11.4636i | 0.158249 | + | 0.487041i | ||||
\(555\) | 12.0907 | + | 5.38312i | 0.513221 | + | 0.228501i | ||||
\(556\) | −0.906844 | − | 8.62805i | −0.0384588 | − | 0.365911i | ||||
\(557\) | −1.32432 | − | 0.281493i | −0.0561132 | − | 0.0119272i | 0.179770 | − | 0.983709i | \(-0.442465\pi\) |
−0.235883 | + | 0.971782i | \(0.575798\pi\) | |||||||
\(558\) | −7.16458 | + | 1.52288i | −0.303301 | + | 0.0644686i | ||||
\(559\) | −6.04770 | − | 4.39391i | −0.255790 | − | 0.185843i | ||||
\(560\) | 50.9554 | + | 10.2081i | 2.15326 | + | 0.431369i | ||||
\(561\) | 7.13039 | + | 13.2750i | 0.301045 | + | 0.560471i | ||||
\(562\) | −9.24895 | − | 16.0197i | −0.390143 | − | 0.675748i | ||||
\(563\) | 23.9020 | − | 10.6419i | 1.00735 | − | 0.448501i | 0.164342 | − | 0.986403i | \(-0.447450\pi\) |
0.843007 | + | 0.537903i | \(0.180783\pi\) | |||||||
\(564\) | −1.93831 | − | 2.15271i | −0.0816174 | − | 0.0906453i | ||||
\(565\) | 42.7621 | − | 47.4922i | 1.79902 | − | 1.99801i | ||||
\(566\) | −9.64381 | + | 7.00664i | −0.405360 | + | 0.294511i | ||||
\(567\) | −2.40423 | + | 1.10439i | −0.100968 | + | 0.0463798i | ||||
\(568\) | −3.04382 | − | 9.36793i | −0.127716 | − | 0.393070i | ||||
\(569\) | −10.4810 | + | 2.22781i | −0.439388 | + | 0.0933948i | −0.422294 | − | 0.906459i | \(-0.638775\pi\) |
−0.0170943 | + | 0.999854i | \(0.505442\pi\) | |||||||
\(570\) | −30.1463 | + | 13.4220i | −1.26269 | + | 0.562186i | ||||
\(571\) | −0.748830 | + | 1.29701i | −0.0313376 | + | 0.0542783i | −0.881269 | − | 0.472615i | \(-0.843310\pi\) |
0.849931 | + | 0.526894i | \(0.176643\pi\) | |||||||
\(572\) | 2.89664 | − | 1.18455i | 0.121115 | − | 0.0495285i | ||||
\(573\) | −23.5159 | −0.982391 | ||||||||
\(574\) | 42.5781 | − | 9.57330i | 1.77718 | − | 0.399582i | ||||
\(575\) | −3.74183 | + | 11.5162i | −0.156045 | + | 0.480258i | ||||
\(576\) | 3.50879 | − | 3.89691i | 0.146200 | − | 0.162371i | ||||
\(577\) | −2.72972 | − | 25.9716i | −0.113640 | − | 1.08121i | −0.891577 | − | 0.452869i | \(-0.850400\pi\) |
0.777937 | − | 0.628342i | \(-0.216266\pi\) | |||||||
\(578\) | 0.600037 | + | 5.70897i | 0.0249582 | + | 0.237462i | ||||
\(579\) | 14.4867 | − | 16.0891i | 0.602046 | − | 0.668640i | ||||
\(580\) | −1.71225 | + | 5.26975i | −0.0710971 | + | 0.218814i | ||||
\(581\) | 1.07376 | − | 3.44145i | 0.0445469 | − | 0.142775i | ||||
\(582\) | 5.86008 | 0.242908 | ||||||||
\(583\) | −2.38019 | − | 32.0936i | −0.0985775 | − | 1.32918i | ||||
\(584\) | 5.63041 | − | 9.75216i | 0.232988 | − | 0.403547i | ||||
\(585\) | −7.39811 | + | 3.29385i | −0.305874 | + | 0.136184i | ||||
\(586\) | 23.4045 | − | 4.97478i | 0.966830 | − | 0.205506i | ||||
\(587\) | −6.81855 | − | 20.9853i | −0.281432 | − | 0.866158i | −0.987446 | − | 0.157960i | \(-0.949508\pi\) |
0.706014 | − | 0.708198i | \(-0.250492\pi\) | |||||||
\(588\) | −3.29326 | + | 0.781130i | −0.135812 | + | 0.0322132i | ||||
\(589\) | −18.9738 | + | 13.7853i | −0.781801 | + | 0.568012i | ||||
\(590\) | −28.7609 | + | 31.9422i | −1.18407 | + | 1.31504i | ||||
\(591\) | −10.1767 | − | 11.3023i | −0.418612 | − | 0.464916i | ||||
\(592\) | 13.7906 | − | 6.13998i | 0.566791 | − | 0.252351i | ||||
\(593\) | −5.52727 | − | 9.57352i | −0.226978 | − | 0.393137i | 0.729933 | − | 0.683519i | \(-0.239551\pi\) |
−0.956911 | + | 0.290381i | \(0.906218\pi\) | |||||||
\(594\) | 5.14345 | − | 0.929302i | 0.211038 | − | 0.0381297i | ||||
\(595\) | −15.9700 | − | 47.2581i | −0.654706 | − | 1.93739i | ||||
\(596\) | −1.52247 | − | 1.10614i | −0.0623630 | − | 0.0453094i | ||||
\(597\) | −12.9207 | + | 2.74638i | −0.528810 | + | 0.112402i | ||||
\(598\) | −2.98061 | − | 0.633548i | −0.121886 | − | 0.0259077i | ||||
\(599\) | 0.249776 | + | 2.37646i | 0.0102056 | + | 0.0970997i | 0.998439 | − | 0.0558540i | \(-0.0177881\pi\) |
−0.988233 | + | 0.152954i | \(0.951121\pi\) | |||||||
\(600\) | 26.6809 | + | 11.8791i | 1.08924 | + | 0.484962i | ||||
\(601\) | 5.39235 | + | 16.5959i | 0.219959 | + | 0.676963i | 0.998764 | + | 0.0496976i | \(0.0158257\pi\) |
−0.778806 | + | 0.627265i | \(0.784174\pi\) | |||||||
\(602\) | −8.14746 | − | 13.7373i | −0.332066 | − | 0.559892i | ||||
\(603\) | −1.49312 | − | 1.08482i | −0.0608047 | − | 0.0441772i | ||||
\(604\) | −0.392651 | − | 0.680092i | −0.0159768 | − | 0.0276725i | ||||
\(605\) | 20.3558 | + | 40.8577i | 0.827582 | + | 1.66110i | ||||
\(606\) | −9.04481 | + | 15.6661i | −0.367420 | + | 0.636391i | ||||
\(607\) | −5.06550 | + | 48.1950i | −0.205602 | + | 1.95618i | 0.0772501 | + | 0.997012i | \(0.475386\pi\) |
−0.282852 | + | 0.959163i | \(0.591281\pi\) | |||||||
\(608\) | −4.17813 | + | 12.8589i | −0.169445 | + | 0.521499i | ||||
\(609\) | 0.848840 | + | 7.25675i | 0.0343967 | + | 0.294058i | ||||
\(610\) | 39.9925 | − | 29.0562i | 1.61925 | − | 1.17645i | ||||
\(611\) | −10.6805 | − | 4.75528i | −0.432088 | − | 0.192378i | ||||
\(612\) | 2.14882 | + | 0.456745i | 0.0868608 | + | 0.0184628i | ||||
\(613\) | 3.32277 | + | 3.69031i | 0.134205 | + | 0.149050i | 0.806501 | − | 0.591232i | \(-0.201358\pi\) |
−0.672296 | + | 0.740283i | \(0.734692\pi\) | |||||||
\(614\) | −1.95782 | + | 18.6274i | −0.0790112 | + | 0.751741i | ||||
\(615\) | 43.4349 | 1.75147 | ||||||||
\(616\) | −20.9671 | − | 0.397742i | −0.844788 | − | 0.0160255i | ||||
\(617\) | −22.2393 | −0.895322 | −0.447661 | − | 0.894203i | \(-0.647743\pi\) | ||||
−0.447661 | + | 0.894203i | \(0.647743\pi\) | |||||||
\(618\) | 0.983692 | − | 9.35921i | 0.0395699 | − | 0.376482i | ||||
\(619\) | −19.5873 | − | 21.7539i | −0.787281 | − | 0.874364i | 0.207305 | − | 0.978276i | \(-0.433531\pi\) |
−0.994587 | + | 0.103912i | \(0.966864\pi\) | |||||||
\(620\) | −9.12213 | − | 1.93897i | −0.366354 | − | 0.0778709i | ||||
\(621\) | −0.905176 | − | 0.403010i | −0.0363235 | − | 0.0161722i | ||||
\(622\) | −22.5872 | + | 16.4105i | −0.905663 | + | 0.658003i | ||||
\(623\) | −37.8944 | − | 16.3421i | −1.51821 | − | 0.654733i | ||||
\(624\) | −2.85434 | + | 8.78475i | −0.114265 | + | 0.351672i | ||||
\(625\) | −6.61077 | + | 62.8973i | −0.264431 | + | 2.51589i | ||||
\(626\) | 10.2681 | − | 17.7848i | 0.410395 | − | 0.710825i | ||||
\(627\) | 13.8348 | − | 9.41681i | 0.552510 | − | 0.376071i | ||||
\(628\) | 2.00403 | + | 3.47109i | 0.0799696 | + | 0.138511i | ||||
\(629\) | −11.7229 | − | 8.51716i | −0.467421 | − | 0.339602i | ||||
\(630\) | −17.3013 | + | 0.202844i | −0.689301 | + | 0.00808148i | ||||
\(631\) | 10.5313 | + | 32.4119i | 0.419243 | + | 1.29030i | 0.908401 | + | 0.418101i | \(0.137304\pi\) |
−0.489158 | + | 0.872195i | \(0.662696\pi\) | |||||||
\(632\) | −2.83195 | − | 1.26086i | −0.112649 | − | 0.0501545i | ||||
\(633\) | 1.27001 | + | 12.0833i | 0.0504783 | + | 0.480269i | ||||
\(634\) | −25.2472 | − | 5.36645i | −1.00269 | − | 0.213129i | ||||
\(635\) | 63.6562 | − | 13.5305i | 2.52612 | − | 0.536943i | ||||
\(636\) | −3.79563 | − | 2.75769i | −0.150507 | − | 0.109349i | ||||
\(637\) | −10.8602 | + | 8.28625i | −0.430296 | + | 0.328313i | ||||
\(638\) | 1.94850 | − | 14.3015i | 0.0771417 | − | 0.566200i | ||||
\(639\) | 2.06080 | + | 3.56941i | 0.0815241 | + | 0.141204i | ||||
\(640\) | 51.6445 | − | 22.9936i | 2.04143 | − | 0.908902i | ||||
\(641\) | 18.8848 | + | 20.9737i | 0.745906 | + | 0.828413i | 0.989960 | − | 0.141349i | \(-0.0451439\pi\) |
−0.244053 | + | 0.969762i | \(0.578477\pi\) | |||||||
\(642\) | 4.02671 | − | 4.47212i | 0.158922 | − | 0.176500i | ||||
\(643\) | −4.28751 | + | 3.11506i | −0.169083 | + | 0.122846i | −0.669109 | − | 0.743165i | \(-0.733324\pi\) |
0.500026 | + | 0.866011i | \(0.333324\pi\) | |||||||
\(644\) | −1.03413 | − | 0.732974i | −0.0407506 | − | 0.0288832i | ||||
\(645\) | −4.91222 | − | 15.1182i | −0.193418 | − | 0.595280i | ||||
\(646\) | 35.3398 | − | 7.51171i | 1.39043 | − | 0.295544i | ||||
\(647\) | 21.1339 | − | 9.40942i | 0.830860 | − | 0.369923i | 0.0531813 | − | 0.998585i | \(-0.483064\pi\) |
0.777678 | + | 0.628662i | \(0.216397\pi\) | |||||||
\(648\) | −1.19493 | + | 2.06967i | −0.0469411 | + | 0.0813044i | ||||
\(649\) | 11.4735 | − | 18.5348i | 0.450372 | − | 0.727553i | ||||
\(650\) | −37.5835 | −1.47415 | ||||||||
\(651\) | −11.9975 | + | 2.69754i | −0.470221 | + | 0.105725i | ||||
\(652\) | −0.384844 | + | 1.18443i | −0.0150716 | + | 0.0463857i | ||||
\(653\) | −3.44677 | + | 3.82803i | −0.134883 | + | 0.149802i | −0.806802 | − | 0.590822i | \(-0.798803\pi\) |
0.671919 | + | 0.740624i | \(0.265470\pi\) | |||||||
\(654\) | 0.831053 | + | 7.90694i | 0.0324968 | + | 0.309186i | ||||
\(655\) | 4.67769 | + | 44.5052i | 0.182772 | + | 1.73896i | ||||
\(656\) | 33.1499 | − | 36.8167i | 1.29429 | − | 1.43745i | ||||
\(657\) | −1.45607 | + | 4.48132i | −0.0568067 | + | 0.174833i | ||||
\(658\) | −16.9309 | − | 18.3661i | −0.660036 | − | 0.715983i | ||||
\(659\) | −3.97856 | −0.154983 | −0.0774913 | − | 0.996993i | \(-0.524691\pi\) | ||||
−0.0774913 | + | 0.996993i | \(0.524691\pi\) | |||||||
\(660\) | 6.46387 | + | 1.58271i | 0.251606 | + | 0.0616070i | ||||
\(661\) | −9.08125 | + | 15.7292i | −0.353220 | + | 0.611794i | −0.986812 | − | 0.161873i | \(-0.948246\pi\) |
0.633592 | + | 0.773667i | \(0.281580\pi\) | |||||||
\(662\) | 4.74685 | − | 2.11343i | 0.184492 | − | 0.0821409i | ||||
\(663\) | 8.67262 | − | 1.84342i | 0.336817 | − | 0.0715926i | ||||
\(664\) | −1.00628 | − | 3.09700i | −0.0390511 | − | 0.120187i | ||||
\(665\) | −50.3439 | + | 23.1255i | −1.95225 | + | 0.896769i | ||||
\(666\) | −4.06617 | + | 2.95425i | −0.157561 | + | 0.114475i | ||||
\(667\) | −1.83087 | + | 2.03339i | −0.0708916 | + | 0.0787331i | ||||
\(668\) | −4.36483 | − | 4.84764i | −0.168880 | − | 0.187561i | ||||
\(669\) | −8.87854 | + | 3.95298i | −0.343264 | + | 0.152831i | ||||
\(670\) | −6.03488 | − | 10.4527i | −0.233148 | − | 0.403824i | ||||
\(671\) | −17.3390 | + | 18.1072i | −0.669365 | + | 0.699021i | ||||
\(672\) | −4.68159 | + | 5.32364i | −0.180596 | + | 0.205364i | ||||
\(673\) | −8.98748 | − | 6.52978i | −0.346442 | − | 0.251705i | 0.400933 | − | 0.916107i | \(-0.368686\pi\) |
−0.747375 | + | 0.664403i | \(0.768686\pi\) | |||||||
\(674\) | 48.7286 | − | 10.3576i | 1.87695 | − | 0.398959i | ||||
\(675\) | −11.9537 | − | 2.54085i | −0.460100 | − | 0.0977972i | ||||
\(676\) | 0.464563 | + | 4.42002i | 0.0178678 | + | 0.170001i | ||||
\(677\) | 18.8635 | + | 8.39856i | 0.724982 | + | 0.322783i | 0.735837 | − | 0.677158i | \(-0.236789\pi\) |
−0.0108552 | + | 0.999941i | \(0.503455\pi\) | |||||||
\(678\) | 7.49960 | + | 23.0814i | 0.288020 | + | 0.886435i | ||||
\(679\) | 9.83760 | − | 0.115338i | 0.377533 | − | 0.00442625i | ||||
\(680\) | −36.4533 | − | 26.4849i | −1.39792 | − | 1.01565i | ||||
\(681\) | 9.79385 | + | 16.9635i | 0.375301 | + | 0.650041i | ||||
\(682\) | 24.2816 | + | 0.745466i | 0.929792 | + | 0.0285454i | ||||
\(683\) | 11.4215 | − | 19.7826i | 0.437032 | − | 0.756961i | −0.560427 | − | 0.828204i | \(-0.689363\pi\) |
0.997459 | + | 0.0712425i | \(0.0226964\pi\) | |||||||
\(684\) | 0.255030 | − | 2.42645i | 0.00975132 | − | 0.0927776i | ||||
\(685\) | 19.9764 | − | 61.4812i | 0.763261 | − | 2.34907i | ||||
\(686\) | −28.3176 | + | 7.06832i | −1.08117 | + | 0.269870i | ||||
\(687\) | 2.63200 | − | 1.91226i | 0.100417 | − | 0.0729572i | ||||
\(688\) | −16.5637 | − | 7.37464i | −0.631486 | − | 0.281156i | ||||
\(689\) | −18.5217 | − | 3.93692i | −0.705622 | − | 0.149985i | ||||
\(690\) | −4.33585 | − | 4.81545i | −0.165063 | − | 0.183321i | ||||
\(691\) | −1.86223 | + | 17.7179i | −0.0708426 | + | 0.674022i | 0.900259 | + | 0.435355i | \(0.143377\pi\) |
−0.971101 | + | 0.238667i | \(0.923289\pi\) | |||||||
\(692\) | 0.245472 | 0.00933143 | ||||||||
\(693\) | 8.61627 | − | 1.66130i | 0.327305 | − | 0.0631074i | ||||
\(694\) | 52.8949 | 2.00786 | ||||||||
\(695\) | 7.78298 | − | 74.0501i | 0.295225 | − | 2.80888i | ||||
\(696\) | 4.41596 | + | 4.90443i | 0.167387 | + | 0.185902i | ||||
\(697\) | −46.5156 | − | 9.88720i | −1.76191 | − | 0.374505i | ||||
\(698\) | −15.7776 | − | 7.02464i | −0.597191 | − | 0.265887i | ||||
\(699\) | −23.0569 | + | 16.7518i | −0.872092 | + | 0.633612i | ||||
\(700\) | −14.3556 | − | 6.19092i | −0.542593 | − | 0.233995i | ||||
\(701\) | 11.2347 | − | 34.5768i | 0.424328 | − | 1.30595i | −0.479308 | − | 0.877647i | \(-0.659112\pi\) |
0.903636 | − | 0.428301i | \(-0.140888\pi\) | |||||||
\(702\) | 0.321464 | − | 3.05853i | 0.0121329 | − | 0.115437i | ||||
\(703\) | −8.04652 | + | 13.9370i | −0.303480 | + | 0.525643i | ||||
\(704\) | −14.3773 | + | 9.78603i | −0.541864 | + | 0.368825i | ||||
\(705\) | −12.4307 | − | 21.5306i | −0.468167 | − | 0.810888i | ||||
\(706\) | −38.5745 | − | 28.0260i | −1.45177 | − | 1.05477i | ||||
\(707\) | −14.8756 | + | 26.4774i | −0.559455 | + | 0.995786i | ||||
\(708\) | −0.982035 | − | 3.02239i | −0.0369071 | − | 0.113589i | ||||
\(709\) | −17.9367 | − | 7.98595i | −0.673628 | − | 0.299919i | 0.0412691 | − | 0.999148i | \(-0.486860\pi\) |
−0.714897 | + | 0.699229i | \(0.753527\pi\) | |||||||
\(710\) | 2.81748 | + | 26.8066i | 0.105738 | + | 1.00603i | ||||
\(711\) | 1.26879 | + | 0.269689i | 0.0475832 | + | 0.0101141i | ||||
\(712\) | −36.4620 | + | 7.75023i | −1.36647 | + | 0.290452i | ||||
\(713\) | −3.72574 | − | 2.70691i | −0.139530 | − | 0.101375i | ||||
\(714\) | 18.5746 | + | 3.72111i | 0.695138 | + | 0.139259i | ||||
\(715\) | 26.4309 | − | 4.77544i | 0.988459 | − | 0.178591i | ||||
\(716\) | 3.72237 | + | 6.44733i | 0.139112 | + | 0.240948i | ||||
\(717\) | 1.48965 | − | 0.663235i | 0.0556320 | − | 0.0247690i | ||||
\(718\) | −21.3288 | − | 23.6881i | −0.795985 | − | 0.884031i | ||||
\(719\) | 19.2474 | − | 21.3764i | 0.717806 | − | 0.797204i | −0.268298 | − | 0.963336i | \(-0.586461\pi\) |
0.986104 | + | 0.166132i | \(0.0531277\pi\) | |||||||
\(720\) | −15.8907 | + | 11.5453i | −0.592212 | + | 0.430267i | ||||
\(721\) | 1.46716 | − | 15.7311i | 0.0546400 | − | 0.585857i | ||||
\(722\) | −3.14677 | − | 9.68475i | −0.117111 | − | 0.360429i | ||||
\(723\) | −5.34090 | + | 1.13524i | −0.198630 | + | 0.0422202i | ||||
\(724\) | −10.3442 | + | 4.60553i | −0.384439 | + | 0.171163i | ||||
\(725\) | −16.8738 | + | 29.2263i | −0.626678 | + | 1.08544i | ||||
\(726\) | −17.3025 | − | 1.06340i | −0.642154 | − | 0.0394665i | ||||
\(727\) | 37.1335 | 1.37721 | 0.688603 | − | 0.725139i | \(-0.258224\pi\) | ||||
0.688603 | + | 0.725139i | \(0.258224\pi\) | |||||||
\(728\) | −3.67516 | + | 11.7791i | −0.136210 | + | 0.436562i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −20.6191 | + | 22.8999i | −0.763149 | + | 0.847563i | ||||
\(731\) | 1.81922 | + | 17.3087i | 0.0672863 | + | 0.640186i | ||||
\(732\) | 0.382039 | + | 3.63486i | 0.0141206 | + | 0.134348i | ||||
\(733\) | 18.8654 | − | 20.9521i | 0.696809 | − | 0.773884i | −0.286056 | − | 0.958213i | \(-0.592344\pi\) |
0.982865 | + | 0.184328i | \(0.0590110\pi\) | |||||||
\(734\) | −1.14821 | + | 3.53383i | −0.0423812 | + | 0.130436i | ||||
\(735\) | −29.0406 | + | 0.681047i | −1.07118 | + | 0.0251208i | ||||
\(736\) | −2.65496 | −0.0978631 | ||||||||
\(737\) | 3.95435 | + | 4.67246i | 0.145660 | + | 0.172112i | ||||
\(738\) | −8.24739 | + | 14.2849i | −0.303590 | + | 0.525834i | ||||
\(739\) | −7.45806 | + | 3.32054i | −0.274349 | + | 0.122148i | −0.539300 | − | 0.842114i | \(-0.681311\pi\) |
0.264951 | + | 0.964262i | \(0.414644\pi\) | |||||||
\(740\) | −6.25948 | + | 1.33049i | −0.230103 | + | 0.0489099i | ||||
\(741\) | −3.04292 | − | 9.36514i | −0.111784 | − | 0.344037i | ||||
\(742\) | −33.0071 | − | 23.3948i | −1.21173 | − | 0.858850i | ||||
\(743\) | 19.2134 | − | 13.9593i | 0.704871 | − | 0.512119i | −0.176644 | − | 0.984275i | \(-0.556524\pi\) |
0.881515 | + | 0.472156i | \(0.156524\pi\) | |||||||
\(744\) | −7.43249 | + | 8.25461i | −0.272488 | + | 0.302629i | ||||
\(745\) | −10.8073 | − | 12.0027i | −0.395948 | − | 0.439745i | ||||
\(746\) | 23.1956 | − | 10.3274i | 0.849252 | − | 0.378112i | ||||
\(747\) | 0.681293 | + | 1.18003i | 0.0249272 | + | 0.0431752i | ||||
\(748\) | −6.56205 | − | 3.16636i | −0.239932 | − | 0.115773i | ||||
\(749\) | 6.67181 | − | 7.58681i | 0.243783 | − | 0.277216i | ||||
\(750\) | −38.2035 | − | 27.7564i | −1.39499 | − | 1.01352i | ||||
\(751\) | 42.3913 | − | 9.01055i | 1.54688 | − | 0.328800i | 0.646162 | − | 0.763201i | \(-0.276373\pi\) |
0.900720 | + | 0.434401i | \(0.143040\pi\) | |||||||
\(752\) | −27.7372 | − | 5.89572i | −1.01147 | − | 0.214995i | ||||
\(753\) | −2.05411 | − | 19.5436i | −0.0748560 | − | 0.712207i | ||||
\(754\) | −7.75839 | − | 3.45426i | −0.282544 | − | 0.125797i | ||||
\(755\) | −2.08273 | − | 6.40998i | −0.0757983 | − | 0.233283i | ||||
\(756\) | 0.626603 | − | 1.11530i | 0.0227893 | − | 0.0405632i | ||||
\(757\) | 23.5693 | + | 17.1241i | 0.856643 | + | 0.622387i | 0.926969 | − | 0.375137i | \(-0.122404\pi\) |
−0.0703269 | + | 0.997524i | \(0.522404\pi\) | |||||||
\(758\) | 21.8196 | + | 37.7927i | 0.792524 | + | 1.37269i | ||||
\(759\) | 2.59810 | + | 2.01228i | 0.0943050 | + | 0.0730410i | ||||
\(760\) | −25.0214 | + | 43.3383i | −0.907621 | + | 1.57205i | ||||
\(761\) | 2.58653 | − | 24.6092i | 0.0937616 | − | 0.892082i | −0.842007 | − | 0.539467i | \(-0.818626\pi\) |
0.935769 | − | 0.352615i | \(-0.114707\pi\) | |||||||
\(762\) | −7.63705 | + | 23.5044i | −0.276661 | + | 0.851475i | ||||
\(763\) | 1.55075 | + | 13.2574i | 0.0561410 | + | 0.479950i | ||||
\(764\) | 9.19883 | − | 6.68334i | 0.332802 | − | 0.241795i | ||||
\(765\) | 17.2242 | + | 7.66870i | 0.622742 | + | 0.277263i | ||||
\(766\) | 23.4570 | + | 4.98595i | 0.847538 | + | 0.180150i | ||||
\(767\) | −8.58236 | − | 9.53167i | −0.309891 | − | 0.344169i | ||||
\(768\) | −1.14781 | + | 10.9207i | −0.0414181 | + | 0.394067i | ||||
\(769\) | −38.7769 | −1.39833 | −0.699165 | − | 0.714960i | \(-0.746445\pi\) | ||||
−0.699165 | + | 0.714960i | \(0.746445\pi\) | |||||||
\(770\) | 55.8955 | + | 12.9937i | 2.01434 | + | 0.468260i | ||||
\(771\) | −10.0049 | −0.360319 | ||||||||
\(772\) | −1.09422 | + | 10.4108i | −0.0393819 | + | 0.374694i | ||||
\(773\) | 9.32270 | + | 10.3539i | 0.335314 | + | 0.372404i | 0.887097 | − | 0.461584i | \(-0.152719\pi\) |
−0.551782 | + | 0.833988i | \(0.686052\pi\) | |||||||
\(774\) | 5.90482 | + | 1.25511i | 0.212244 | + | 0.0451139i | ||||
\(775\) | −51.8898 | − | 23.1028i | −1.86394 | − | 0.829878i | ||||
\(776\) | 7.18950 | − | 5.22348i | 0.258088 | − | 0.187512i | ||||
\(777\) | −6.76793 | + | 5.03946i | −0.242798 | + | 0.180790i | ||||
\(778\) | 2.82858 | − | 8.70547i | 0.101409 | − | 0.312106i | ||||
\(779\) | −5.52066 | + | 52.5256i | −0.197798 | + | 1.88192i | ||||
\(780\) | 1.95782 | − | 3.39105i | 0.0701014 | − | 0.121419i | ||||
\(781\) | −3.82327 | − | 13.1243i | −0.136807 | − | 0.469623i | ||||
\(782\) | 3.54722 | + | 6.14397i | 0.126848 | + | 0.219708i | ||||
\(783\) | −2.23409 | − | 1.62316i | −0.0798400 | − | 0.0580072i | ||||
\(784\) | −21.5868 | + | 25.1354i | −0.770955 | + | 0.897694i | ||||
\(785\) | 10.6299 | + | 32.7156i | 0.379398 | + | 1.16767i | ||||
\(786\) | −15.5251 | − | 6.91221i | −0.553761 | − | 0.246550i | ||||
\(787\) | −2.79628 | − | 26.6048i | −0.0996765 | − | 0.948358i | −0.924040 | − | 0.382297i | \(-0.875133\pi\) |
0.824363 | − | 0.566061i | \(-0.191533\pi\) | |||||||
\(788\) | 7.19303 | + | 1.52893i | 0.256241 | + | 0.0544657i | ||||
\(789\) | 6.53247 | − | 1.38852i | 0.232562 | − | 0.0494326i | ||||
\(790\) | 6.86281 | + | 4.98613i | 0.244168 | + | 0.177398i | ||||
\(791\) | 13.0442 | + | 38.6002i | 0.463799 | + | 1.37247i | ||||
\(792\) | 5.48194 | − | 5.72482i | 0.194792 | − | 0.203423i | ||||
\(793\) | 7.37555 | + | 12.7748i | 0.261914 | + | 0.453648i | ||||
\(794\) | 30.2786 | − | 13.4809i | 1.07455 | − | 0.478419i | ||||
\(795\) | −26.9433 | − | 29.9236i | −0.955580 | − | 1.06128i | ||||
\(796\) | 4.27372 | − | 4.74645i | 0.151478 | − | 0.168233i | ||||
\(797\) | 11.9802 | − | 8.70412i | 0.424360 | − | 0.308316i | −0.355029 | − | 0.934855i | \(-0.615529\pi\) |
0.779390 | + | 0.626539i | \(0.215529\pi\) | |||||||
\(798\) | 1.95373 | − | 20.9482i | 0.0691614 | − | 0.741557i | ||||
\(799\) | 8.41129 | + | 25.8873i | 0.297570 | + | 0.915827i | ||||
\(800\) | −32.0301 | + | 6.80822i | −1.13244 | + | 0.240707i | ||||
\(801\) | 14.2494 | − | 6.34422i | 0.503476 | − | 0.224162i | ||||
\(802\) | −0.251827 | + | 0.436177i | −0.00889231 | + | 0.0154019i | ||||
\(803\) | 8.22549 | − | 13.2879i | 0.290271 | − | 0.468918i | ||||
\(804\) | 0.892383 | 0.0314719 | ||||||||
\(805\) | −7.37357 | − | 7.99858i | −0.259884 | − | 0.281913i | ||||
\(806\) | 4.41705 | − | 13.5943i | 0.155584 | − | 0.478838i | ||||
\(807\) | 18.4543 | − | 20.4956i | 0.649624 | − | 0.721480i | ||||
\(808\) | 2.86749 | + | 27.2823i | 0.100878 | + | 0.959788i | ||||
\(809\) | 0.429971 | + | 4.09091i | 0.0151170 | + | 0.143829i | 0.999477 | − | 0.0323405i | \(-0.0102961\pi\) |
−0.984360 | + | 0.176169i | \(0.943629\pi\) | |||||||
\(810\) | 4.37594 | − | 4.85997i | 0.153755 | − | 0.170762i | ||||
\(811\) | 8.54601 | − | 26.3019i | 0.300091 | − | 0.923585i | −0.681373 | − | 0.731936i | \(-0.738617\pi\) |
0.981464 | − | 0.191648i | \(-0.0613832\pi\) | |||||||
\(812\) | −2.39445 | − | 2.59741i | −0.0840287 | − | 0.0911513i | ||||
\(813\) | 4.33643 | 0.152085 | ||||||||
\(814\) | 15.4293 | − | 6.30963i | 0.540796 | − | 0.221152i | ||||
\(815\) | −5.34423 | + | 9.25648i | −0.187200 | + | 0.324241i | ||||
\(816\) | 19.6459 | − | 8.74691i | 0.687743 | − | 0.306203i | ||||
\(817\) | 18.9067 | − | 4.01875i | 0.661463 | − | 0.140598i | ||||
\(818\) | 4.77093 | + | 14.6834i | 0.166812 | + | 0.513393i | ||||
\(819\) | 0.479459 | − | 5.14082i | 0.0167537 | − | 0.179635i | ||||
\(820\) | −16.9906 | + | 12.3444i | −0.593339 | + | 0.431086i | ||||
\(821\) | 15.0925 | − | 16.7620i | 0.526733 | − | 0.584996i | −0.419795 | − | 0.907619i | \(-0.637898\pi\) |
0.946528 | + | 0.322623i | \(0.104565\pi\) | |||||||
\(822\) | 16.4268 | + | 18.2438i | 0.572952 | + | 0.636327i | ||||
\(823\) | 41.4162 | − | 18.4397i | 1.44368 | − | 0.642767i | 0.472545 | − | 0.881307i | \(-0.343335\pi\) |
0.971133 | + | 0.238540i | \(0.0766688\pi\) | |||||||
\(824\) | −7.13562 | − | 12.3593i | −0.248581 | − | 0.430555i | ||||
\(825\) | 36.5043 | + | 17.6142i | 1.27092 | + | 0.613249i | ||||
\(826\) | −8.77327 | − | 25.9617i | −0.305261 | − | 0.903323i | ||||
\(827\) | 22.1062 | + | 16.0611i | 0.768708 | + | 0.558499i | 0.901569 | − | 0.432636i | \(-0.142416\pi\) |
−0.132861 | + | 0.991135i | \(0.542416\pi\) | |||||||
\(828\) | 0.468619 | − | 0.0996081i | 0.0162857 | − | 0.00346162i | ||||
\(829\) | 21.4477 | + | 4.55884i | 0.744908 | + | 0.158335i | 0.564703 | − | 0.825294i | \(-0.308991\pi\) |
0.180205 | + | 0.983629i | \(0.442324\pi\) | |||||||
\(830\) | 0.931449 | + | 8.86214i | 0.0323311 | + | 0.307609i | ||||
\(831\) | −6.98732 | − | 3.11096i | −0.242387 | − | 0.107918i | ||||
\(832\) | 3.16223 | + | 9.73234i | 0.109631 | + | 0.337408i | ||||
\(833\) | 31.2554 | + | 5.88123i | 1.08293 | + | 0.203773i | ||||
\(834\) | 22.8758 | + | 16.6202i | 0.792124 | + | 0.575512i | ||||
\(835\) | −27.9924 | − | 48.4842i | −0.968717 | − | 1.67787i | ||||
\(836\) | −2.73553 | + | 7.61555i | −0.0946104 | + | 0.263389i | ||||
\(837\) | 2.32393 | − | 4.02516i | 0.0803267 | − | 0.139130i | ||||
\(838\) | −4.03248 | + | 38.3665i | −0.139300 | + | 1.32535i | ||||
\(839\) | 6.51321 | − | 20.0456i | 0.224861 | − | 0.692051i | −0.773445 | − | 0.633864i | \(-0.781468\pi\) |
0.998306 | − | 0.0581871i | \(-0.0185320\pi\) | |||||||
\(840\) | −21.0455 | + | 15.6707i | −0.726138 | + | 0.540689i | ||||
\(841\) | 17.2921 | − | 12.5634i | 0.596278 | − | 0.433221i | ||||
\(842\) | 10.2273 | + | 4.55350i | 0.352457 | + | 0.156924i | ||||
\(843\) | 11.4814 | + | 2.44044i | 0.395439 | + | 0.0840531i | ||||
\(844\) | −3.93094 | − | 4.36575i | −0.135308 | − | 0.150275i | ||||
\(845\) | −3.98711 | + | 37.9348i | −0.137161 | + | 1.30500i | ||||
\(846\) | 9.44131 | 0.324599 | ||||||||
\(847\) | −29.0674 | − | 1.44464i | −0.998767 | − | 0.0496383i | ||||
\(848\) | −45.9274 | −1.57715 | ||||||||
\(849\) | 0.790664 | − | 7.52266i | 0.0271355 | − | 0.258177i | ||||
\(850\) | 58.5499 | + | 65.0262i | 2.00824 | + | 2.23038i | ||||
\(851\) | −3.09102 | − | 0.657016i | −0.105959 | − | 0.0225222i | ||||
\(852\) | −1.82058 | − | 0.810574i | −0.0623720 | − | 0.0277698i | ||||
\(853\) | −6.49921 | + | 4.72195i | −0.222529 | + | 0.161677i | −0.693464 | − | 0.720491i | \(-0.743916\pi\) |
0.470935 | + | 0.882168i | \(0.343916\pi\) | |||||||
\(854\) | 3.66164 | + | 31.3035i | 0.125299 | + | 1.07118i | ||||
\(855\) | 6.47072 | − | 19.9148i | 0.221294 | − | 0.681073i | ||||
\(856\) | 0.953918 | − | 9.07593i | 0.0326043 | − | 0.310209i | ||||
\(857\) | 1.46402 | − | 2.53576i | 0.0500099 | − | 0.0866198i | −0.839937 | − | 0.542684i | \(-0.817408\pi\) |
0.889947 | + | 0.456064i | \(0.150741\pi\) | |||||||
\(858\) | −3.44812 | + | 9.59935i | −0.117717 | + | 0.327716i | ||||
\(859\) | −12.8540 | − | 22.2638i | −0.438572 | − | 0.759629i | 0.559007 | − | 0.829163i | \(-0.311182\pi\) |
−0.997580 | + | 0.0695333i | \(0.977849\pi\) | |||||||
\(860\) | 6.21822 | + | 4.51780i | 0.212039 | + | 0.154056i | ||||
\(861\) | −13.5641 | + | 24.1431i | −0.462264 | + | 0.822793i | ||||
\(862\) | 3.73793 | + | 11.5042i | 0.127314 | + | 0.391834i | ||||
\(863\) | 1.42860 | + | 0.636052i | 0.0486300 | + | 0.0216515i | 0.430908 | − | 0.902396i | \(-0.358194\pi\) |
−0.382278 | + | 0.924048i | \(0.624860\pi\) | |||||||
\(864\) | −0.280085 | − | 2.66483i | −0.00952868 | − | 0.0906594i | ||||
\(865\) | 2.06072 | + | 0.438020i | 0.0700666 | + | 0.0148931i | ||||
\(866\) | 5.32026 | − | 1.13086i | 0.180790 | − | 0.0384281i | ||||
\(867\) | −2.94691 | − | 2.14106i | −0.100082 | − | 0.0727141i | ||||
\(868\) | 3.92648 | − | 4.46497i | 0.133273 | − | 0.151551i | ||||
\(869\) | −3.87462 | − | 1.86960i | −0.131437 | − | 0.0634219i | ||||
\(870\) | −9.02972 | − | 15.6399i | −0.306136 | − | 0.530243i | ||||
\(871\) | 3.29028 | − | 1.46493i | 0.111487 | − | 0.0496371i | ||||
\(872\) | 8.06756 | + | 8.95994i | 0.273202 | + | 0.303422i | ||||
\(873\) | −2.48818 | + | 2.76340i | −0.0842120 | + | 0.0935269i | ||||
\(874\) | 6.37438 | − | 4.63126i | 0.215617 | − | 0.156655i | ||||
\(875\) | −64.6803 | − | 45.8441i | −2.18659 | − | 1.54981i | ||||
\(876\) | −0.704036 | − | 2.16680i | −0.0237872 | − | 0.0732094i | ||||
\(877\) | −53.0728 | + | 11.2810i | −1.79214 | + | 0.380931i | −0.979438 | − | 0.201747i | \(-0.935338\pi\) |
−0.812703 | + | 0.582678i | \(0.802005\pi\) | |||||||
\(878\) | −45.3653 | + | 20.1979i | −1.53100 | + | 0.681647i | ||||
\(879\) | −7.59156 | + | 13.1490i | −0.256057 | + | 0.443504i | ||||
\(880\) | 60.2981 | − | 24.6582i | 2.03265 | − | 0.831228i | ||||
\(881\) | 44.2360 | 1.49035 | 0.745174 | − | 0.666870i | \(-0.232366\pi\) | ||||
0.745174 | + | 0.666870i | \(0.232366\pi\) | |||||||
\(882\) | 5.29022 | − | 9.68019i | 0.178131 | − | 0.325949i | ||||
\(883\) | 11.4908 | − | 35.3652i | 0.386698 | − | 1.19013i | −0.548543 | − | 0.836122i | \(-0.684817\pi\) |
0.935241 | − | 0.354011i | \(-0.115183\pi\) | |||||||
\(884\) | −2.86860 | + | 3.18590i | −0.0964815 | + | 0.107154i | ||||
\(885\) | −2.85097 | − | 27.1252i | −0.0958343 | − | 0.911803i | ||||
\(886\) | −1.60784 | − | 15.2976i | −0.0540165 | − | 0.513932i | ||||
\(887\) | −8.91643 | + | 9.90270i | −0.299384 | + | 0.332500i | −0.874002 | − | 0.485922i | \(-0.838484\pi\) |
0.574618 | + | 0.818422i | \(0.305151\pi\) | |||||||
\(888\) | −2.35531 | + | 7.24889i | −0.0790389 | + | 0.243257i | ||||
\(889\) | −12.3581 | + | 39.6083i | −0.414476 | + | 1.32842i | ||||
\(890\) | 102.006 | 3.41925 | ||||||||
\(891\) | −1.74567 | + | 2.82004i | −0.0584822 | + | 0.0944749i | ||||
\(892\) | 2.34960 | − | 4.06963i | 0.0786705 | − | 0.136261i | ||||
\(893\) | 27.6167 | − | 12.2958i | 0.924159 | − | 0.411462i | ||||
\(894\) | 5.99953 | − | 1.27524i | 0.200654 | − | 0.0426504i | ||||
\(895\) | 19.7445 | + | 60.7672i | 0.659985 | + | 2.03122i | ||||
\(896\) | −3.34699 | + | 35.8869i | −0.111815 | + | 1.19890i | ||||
\(897\) | 1.56432 | − | 1.13654i | 0.0522310 | − | 0.0379480i | ||||
\(898\) | −17.5554 | + | 19.4972i | −0.585830 | + | 0.650630i | ||||
\(899\) | −8.58830 | − | 9.53827i | −0.286436 | − | 0.318119i | ||||
\(900\) | 5.39812 | − | 2.40340i | 0.179937 | − | 0.0801133i | ||||
\(901\) | 22.0427 | + | 38.1791i | 0.734349 | + | 1.27193i | ||||
\(902\) | 37.8364 | − | 39.5127i | 1.25982 | − | 1.31563i | ||||
\(903\) | 9.93741 | + | 1.99079i | 0.330696 | + | 0.0662494i | ||||
\(904\) | 29.7749 | + | 21.6327i | 0.990299 | + | 0.719494i | ||||
\(905\) | −95.0570 | + | 20.2050i | −3.15980 | + | 0.671637i | ||||
\(906\) | 2.50358 | + | 0.532153i | 0.0831760 | + | 0.0176796i | ||||
\(907\) | −0.156697 | − | 1.49087i | −0.00520303 | − | 0.0495035i | 0.991612 | − | 0.129248i | \(-0.0412563\pi\) |
−0.996815 | + | 0.0797443i | \(0.974590\pi\) | |||||||
\(908\) | −8.65221 | − | 3.85221i | −0.287134 | − | 0.127840i | ||||
\(909\) | −3.54714 | − | 10.9170i | −0.117651 | − | 0.362093i | ||||
\(910\) | 16.5388 | − | 29.4377i | 0.548255 | − | 0.975850i | ||||
\(911\) | −16.7328 | − | 12.1571i | −0.554384 | − | 0.402784i | 0.275015 | − | 0.961440i | \(-0.411317\pi\) |
−0.829399 | + | 0.558656i | \(0.811317\pi\) | |||||||
\(912\) | −11.9419 | − | 20.6840i | −0.395435 | − | 0.684914i | ||||
\(913\) | −1.26396 | − | 4.33883i | −0.0418309 | − | 0.143594i | ||||
\(914\) | −10.0407 | + | 17.3909i | −0.332115 | + | 0.575241i | ||||
\(915\) | −3.27885 | + | 31.1962i | −0.108395 | + | 1.03131i | ||||
\(916\) | −0.486097 | + | 1.49605i | −0.0160611 | + | 0.0494310i | ||||
\(917\) | −26.1987 | − | 11.2983i | −0.865158 | − | 0.373103i | ||||
\(918\) | −5.79260 | + | 4.20857i | −0.191184 | + | 0.138903i | ||||
\(919\) | 10.7446 | + | 4.78381i | 0.354432 | + | 0.157803i | 0.576226 | − | 0.817290i | \(-0.304525\pi\) |
−0.221794 | + | 0.975094i | \(0.571191\pi\) | |||||||
\(920\) | −9.61180 | − | 2.04305i | −0.316892 | − | 0.0673574i | ||||
\(921\) | −7.95271 | − | 8.83238i | −0.262051 | − | 0.291037i | ||||
\(922\) | 0.859209 | − | 8.17483i | 0.0282965 | − | 0.269224i | ||||
\(923\) | −8.04323 | −0.264746 | ||||||||
\(924\) | −2.89832 | + | 3.09864i | −0.0953476 | + | 0.101938i | ||||
\(925\) | −38.9757 | −1.28151 | ||||||||
\(926\) | −1.75520 | + | 16.6996i | −0.0576795 | + | 0.548784i | ||||
\(927\) | 3.99578 | + | 4.43777i | 0.131239 | + | 0.145755i | ||||
\(928\) | −7.23775 | − | 1.53843i | −0.237591 | − | 0.0505015i | ||||
\(929\) | 25.7504 | + | 11.4648i | 0.844842 | + | 0.376148i | 0.783063 | − | 0.621942i | \(-0.213656\pi\) |
0.0617785 | + | 0.998090i | \(0.480323\pi\) | |||||||
\(930\) | 24.5907 | − | 17.8662i | 0.806360 | − | 0.585855i | ||||
\(931\) | 2.86753 | − | 35.2051i | 0.0939794 | − | 1.15380i | ||||
\(932\) | 4.25832 | − | 13.1058i | 0.139486 | − | 0.429294i | ||||
\(933\) | 1.85185 | − | 17.6191i | 0.0606267 | − | 0.576825i | ||||
\(934\) | −23.3929 | + | 40.5177i | −0.765440 | + | 1.32578i | ||||
\(935\) | −49.4380 | − | 38.2907i | −1.61680 | − | 1.25224i | ||||
\(936\) | −2.33187 | − | 4.03892i | −0.0762196 | − | 0.132016i | ||||
\(937\) | 21.6468 | + | 15.7273i | 0.707170 | + | 0.513789i | 0.882259 | − | 0.470763i | \(-0.156021\pi\) |
−0.175090 | + | 0.984553i | \(0.556021\pi\) | |||||||
\(938\) | 7.69469 | − | 0.0902138i | 0.251241 | − | 0.00294559i | ||||
\(939\) | 4.02687 | + | 12.3934i | 0.131412 | + | 0.404444i | ||||
\(940\) | 10.9817 | + | 4.88935i | 0.358182 | + | 0.159473i | ||||
\(941\) | 1.79849 | + | 17.1115i | 0.0586292 | + | 0.557820i | 0.983926 | + | 0.178576i | \(0.0571491\pi\) |
−0.925297 | + | 0.379244i | \(0.876184\pi\) | |||||||
\(942\) | −12.7779 | − | 2.71603i | −0.416327 | − | 0.0884930i | ||||
\(943\) | −10.1442 | + | 2.15623i | −0.330342 | + | 0.0702164i | ||||
\(944\) | −25.1680 | − | 18.2856i | −0.819148 | − | 0.595146i | ||||
\(945\) | 7.25044 | − | 8.24479i | 0.235857 | − | 0.268203i | ||||
\(946\) | −18.0321 | − | 8.70095i | −0.586275 | − | 0.282892i | ||||
\(947\) | −19.2943 | − | 33.4187i | −0.626980 | − | 1.08596i | −0.988154 | − | 0.153463i | \(-0.950957\pi\) |
0.361174 | − | 0.932498i | \(-0.382376\pi\) | |||||||
\(948\) | −0.572964 | + | 0.255100i | −0.0186090 | + | 0.00828527i | ||||
\(949\) | −6.15282 | − | 6.83340i | −0.199729 | − | 0.221822i | ||||
\(950\) | 65.0261 | − | 72.2188i | 2.10973 | − | 2.34309i | ||||
\(951\) | 13.2505 | − | 9.62705i | 0.429677 | − | 0.312178i | ||||
\(952\) | 26.1053 | − | 11.9915i | 0.846079 | − | 0.388647i | ||||
\(953\) | −6.61448 | − | 20.3573i | −0.214264 | − | 0.659437i | −0.999205 | − | 0.0398663i | \(-0.987307\pi\) |
0.784941 | − | 0.619571i | \(-0.212693\pi\) | |||||||
\(954\) | 14.9572 | − | 3.17926i | 0.484258 | − | 0.102932i | ||||
\(955\) | 89.1494 | − | 39.6919i | 2.88481 | − | 1.28440i | ||||
\(956\) | −0.394219 | + | 0.682807i | −0.0127500 | + | 0.0220836i | ||||
\(957\) | 5.91671 | + | 6.99120i | 0.191260 | + | 0.225993i | ||||
\(958\) | 34.8016 | 1.12439 | ||||||||
\(959\) | 27.9356 | + | 30.3035i | 0.902087 | + | 0.978551i | ||||
\(960\) | −6.72443 | + | 20.6957i | −0.217030 | + | 0.667950i | ||||
\(961\) | −6.28813 | + | 6.98367i | −0.202843 | + | 0.225280i | ||||
\(962\) | −1.02524 | − | 9.75453i | −0.0330551 | − | 0.314499i | ||||
\(963\) | 0.399154 | + | 3.79770i | 0.0128626 | + | 0.122379i | ||||
\(964\) | 1.76658 | − | 1.96199i | 0.0568978 | − | 0.0631914i | ||||
\(965\) | −27.7630 | + | 85.4458i | −0.893724 | + | 2.75060i | ||||
\(966\) | 4.03066 | − | 0.906258i | 0.129684 | − | 0.0291584i | ||||
\(967\) | −54.9040 | −1.76559 | −0.882796 | − | 0.469756i | \(-0.844342\pi\) | ||||
−0.882796 | + | 0.469756i | \(0.844342\pi\) | |||||||
\(968\) | −22.1756 | + | 14.1182i | −0.712749 | + | 0.453775i | ||||
\(969\) | −11.4629 | + | 19.8544i | −0.368243 | + | 0.637815i | ||||
\(970\) | −22.2157 | + | 9.89108i | −0.713304 | + | 0.317583i | ||||
\(971\) | −51.1777 | + | 10.8782i | −1.64237 | + | 0.349097i | −0.934146 | − | 0.356891i | \(-0.883837\pi\) |
−0.708225 | + | 0.705987i | \(0.750504\pi\) | |||||||
\(972\) | 0.149415 | + | 0.459853i | 0.00479250 | + | 0.0147498i | ||||
\(973\) | 38.7298 | + | 27.4510i | 1.24162 | + | 0.880037i | ||||
\(974\) | −41.3533 | + | 30.0450i | −1.32505 | + | 0.962703i | ||||
\(975\) | 15.9578 | − | 17.7230i | 0.511060 | − | 0.567590i | ||||
\(976\) | 23.9404 | + | 26.5885i | 0.766312 | + | 0.851076i | ||||
\(977\) | 56.3572 | − | 25.0918i | 1.80303 | − | 0.802758i | 0.835714 | − | 0.549164i | \(-0.185054\pi\) |
0.967311 | − | 0.253594i | \(-0.0816127\pi\) | |||||||
\(978\) | −2.02952 | − | 3.51523i | −0.0648968 | − | 0.112405i | ||||
\(979\) | −50.9080 | + | 9.19789i | −1.62703 | + | 0.293966i | ||||
\(980\) | 11.1664 | − | 8.51989i | 0.356697 | − | 0.272158i | ||||
\(981\) | −4.08149 | − | 2.96537i | −0.130312 | − | 0.0946771i | ||||
\(982\) | −8.22239 | + | 1.74772i | −0.262387 | + | 0.0557721i | ||||
\(983\) | −10.1573 | − | 2.15899i | −0.323967 | − | 0.0688612i | 0.0430577 | − | 0.999073i | \(-0.486290\pi\) |
−0.367024 | + | 0.930211i | \(0.619623\pi\) | |||||||
\(984\) | 2.61468 | + | 24.8770i | 0.0833528 | + | 0.793049i | ||||
\(985\) | 57.6569 | + | 25.6705i | 1.83710 | + | 0.817930i | ||||
\(986\) | 6.11001 | + | 18.8047i | 0.194582 | + | 0.598863i | ||||
\(987\) | 15.8496 | − | 0.185823i | 0.504498 | − | 0.00591481i | ||||
\(988\) | 3.85193 | + | 2.79859i | 0.122546 | + | 0.0890351i | ||||
\(989\) | 1.89776 | + | 3.28702i | 0.0603453 | + | 0.104521i | ||||
\(990\) | −17.9304 | + | 12.2045i | −0.569866 | + | 0.387885i | ||||
\(991\) | −21.8063 | + | 37.7696i | −0.692699 | + | 1.19979i | 0.278251 | + | 0.960508i | \(0.410245\pi\) |
−0.970950 | + | 0.239282i | \(0.923088\pi\) | |||||||
\(992\) | 1.30179 | − | 12.3857i | 0.0413320 | − | 0.393248i | ||||
\(993\) | −1.01888 | + | 3.13580i | −0.0323332 | + | 0.0995115i | ||||
\(994\) | −15.7801 | − | 6.80523i | −0.500515 | − | 0.215849i | ||||
\(995\) | 44.3472 | − | 32.2201i | 1.40590 | − | 1.02145i | ||||
\(996\) | −0.601877 | − | 0.267973i | −0.0190712 | − | 0.00849104i | ||||
\(997\) | −26.9635 | − | 5.73128i | −0.853944 | − | 0.181511i | −0.239914 | − | 0.970794i | \(-0.577119\pi\) |
−0.614030 | + | 0.789283i | \(0.710453\pi\) | |||||||
\(998\) | 39.3648 | + | 43.7191i | 1.24607 | + | 1.38390i | ||||
\(999\) | 0.333372 | − | 3.17182i | 0.0105474 | − | 0.100352i |
(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 | 231.2.y.b.4.7 | ✓ | 64 | |
3.2 | odd | 2 | 693.2.by.c.235.2 | 64 | |||
7.2 | even | 3 | inner | 231.2.y.b.37.2 | yes | 64 | |
11.3 | even | 5 | inner | 231.2.y.b.25.2 | yes | 64 | |
21.2 | odd | 6 | 693.2.by.c.37.7 | 64 | |||
33.14 | odd | 10 | 693.2.by.c.487.7 | 64 | |||
77.58 | even | 15 | inner | 231.2.y.b.58.7 | yes | 64 | |
231.212 | odd | 30 | 693.2.by.c.289.2 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.y.b.4.7 | ✓ | 64 | 1.1 | even | 1 | trivial | |
231.2.y.b.25.2 | yes | 64 | 11.3 | even | 5 | inner | |
231.2.y.b.37.2 | yes | 64 | 7.2 | even | 3 | inner | |
231.2.y.b.58.7 | yes | 64 | 77.58 | even | 15 | inner | |
693.2.by.c.37.7 | 64 | 21.2 | odd | 6 | |||
693.2.by.c.235.2 | 64 | 3.2 | odd | 2 | |||
693.2.by.c.289.2 | 64 | 231.212 | odd | 30 | |||
693.2.by.c.487.7 | 64 | 33.14 | odd | 10 |