Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.18 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.b.625.18 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.445939 | + | 0.304036i | 0.315326 | + | 0.214986i | 0.710632 | − | 0.703564i | \(-0.248409\pi\) |
−0.395306 | + | 0.918550i | \(0.629361\pi\) | |||||||
\(3\) | 0.759470 | + | 0.704685i | 0.438480 | + | 0.406850i | 0.868280 | − | 0.496074i | \(-0.165225\pi\) |
−0.429800 | + | 0.902924i | \(0.641416\pi\) | |||||||
\(4\) | −0.624259 | − | 1.59058i | −0.312129 | − | 0.795292i | ||||
\(5\) | −1.39712 | + | 0.430954i | −0.624811 | + | 0.192729i | −0.590963 | − | 0.806698i | \(-0.701252\pi\) |
−0.0338475 | + | 0.999427i | \(0.510776\pi\) | |||||||
\(6\) | 0.124428 | + | 0.545153i | 0.0507973 | + | 0.222558i | ||||
\(7\) | −2.52342 | − | 0.795220i | −0.953761 | − | 0.300565i | ||||
\(8\) | 0.445412 | − | 1.95148i | 0.157477 | − | 0.689952i | ||||
\(9\) | −0.143977 | − | 1.92124i | −0.0479922 | − | 0.640412i | ||||
\(10\) | −0.754055 | − | 0.232595i | −0.238453 | − | 0.0735531i | ||||
\(11\) | −0.221253 | + | 2.95241i | −0.0667102 | + | 0.890186i | 0.859006 | + | 0.511966i | \(0.171083\pi\) |
−0.925716 | + | 0.378220i | \(0.876536\pi\) | |||||||
\(12\) | 0.646756 | − | 1.64791i | 0.186702 | − | 0.475710i | ||||
\(13\) | −0.900969 | + | 0.433884i | −0.249884 | + | 0.120338i | ||||
\(14\) | −0.883513 | − | 1.12183i | −0.236129 | − | 0.299821i | ||||
\(15\) | −1.36476 | − | 0.657233i | −0.352379 | − | 0.169697i | ||||
\(16\) | −1.71319 | + | 1.58960i | −0.428297 | + | 0.397401i | ||||
\(17\) | −1.60960 | + | 0.242608i | −0.390385 | + | 0.0588411i | −0.341302 | − | 0.939954i | \(-0.610868\pi\) |
−0.0490828 | + | 0.998795i | \(0.515630\pi\) | |||||||
\(18\) | 0.519920 | − | 0.900528i | 0.122546 | − | 0.212256i | ||||
\(19\) | −3.14438 | − | 5.44623i | −0.721371 | − | 1.24945i | −0.960450 | − | 0.278451i | \(-0.910179\pi\) |
0.239080 | − | 0.971000i | \(-0.423154\pi\) | |||||||
\(20\) | 1.55763 | + | 1.95321i | 0.348297 | + | 0.436751i | ||||
\(21\) | −1.35608 | − | 2.38216i | −0.295921 | − | 0.519830i | ||||
\(22\) | −0.996305 | + | 1.24933i | −0.212413 | + | 0.266357i | ||||
\(23\) | −4.90272 | − | 0.738966i | −1.02229 | − | 0.154085i | −0.383558 | − | 0.923517i | \(-0.625301\pi\) |
−0.638729 | + | 0.769432i | \(0.720539\pi\) | |||||||
\(24\) | 1.71346 | − | 1.16821i | 0.349758 | − | 0.238461i | ||||
\(25\) | −2.36497 | + | 1.61241i | −0.472994 | + | 0.322482i | ||||
\(26\) | −0.533693 | − | 0.0804413i | −0.104666 | − | 0.0157758i | ||||
\(27\) | 3.18240 | − | 3.99060i | 0.612453 | − | 0.767992i | ||||
\(28\) | 0.310399 | + | 4.51013i | 0.0586599 | + | 0.852334i | ||||
\(29\) | −2.76636 | − | 3.46890i | −0.513700 | − | 0.644159i | 0.455558 | − | 0.890206i | \(-0.349440\pi\) |
−0.969258 | + | 0.246047i | \(0.920868\pi\) | |||||||
\(30\) | −0.408776 | − | 0.708021i | −0.0746320 | − | 0.129266i | ||||
\(31\) | 1.69569 | − | 2.93702i | 0.304555 | − | 0.527504i | −0.672607 | − | 0.740000i | \(-0.734826\pi\) |
0.977162 | + | 0.212495i | \(0.0681590\pi\) | |||||||
\(32\) | −5.20589 | + | 0.784662i | −0.920280 | + | 0.138710i | ||||
\(33\) | −2.24856 | + | 2.08636i | −0.391424 | + | 0.363188i | ||||
\(34\) | −0.791544 | − | 0.381187i | −0.135749 | − | 0.0653731i | ||||
\(35\) | 3.86822 | + | 0.0235405i | 0.653848 | + | 0.00397907i | ||||
\(36\) | −2.96601 | + | 1.42836i | −0.494335 | + | 0.238059i | ||||
\(37\) | 3.65447 | − | 9.31143i | 0.600791 | − | 1.53079i | −0.229413 | − | 0.973329i | \(-0.573681\pi\) |
0.830204 | − | 0.557460i | \(-0.188224\pi\) | |||||||
\(38\) | 0.253647 | − | 3.38469i | 0.0411471 | − | 0.549069i | ||||
\(39\) | −0.990011 | − | 0.305378i | −0.158529 | − | 0.0488996i | ||||
\(40\) | 0.218704 | + | 2.91840i | 0.0345801 | + | 0.461440i | ||||
\(41\) | −1.53474 | + | 6.72415i | −0.239687 | + | 1.05014i | 0.701611 | + | 0.712560i | \(0.252464\pi\) |
−0.941298 | + | 0.337577i | \(0.890393\pi\) | |||||||
\(42\) | 0.119534 | − | 1.47459i | 0.0184445 | − | 0.227535i | ||||
\(43\) | −1.07998 | − | 4.73170i | −0.164695 | − | 0.721578i | −0.988061 | − | 0.154066i | \(-0.950763\pi\) |
0.823365 | − | 0.567512i | \(-0.192094\pi\) | |||||||
\(44\) | 4.83418 | − | 1.49115i | 0.728780 | − | 0.224799i | ||||
\(45\) | 1.02912 | + | 2.62215i | 0.153412 | + | 0.390887i | ||||
\(46\) | −1.96164 | − | 1.82013i | −0.289228 | − | 0.268364i | ||||
\(47\) | 7.45360 | + | 5.08178i | 1.08722 | + | 0.741253i | 0.967833 | − | 0.251595i | \(-0.0809550\pi\) |
0.119386 | + | 0.992848i | \(0.461907\pi\) | |||||||
\(48\) | −2.42129 | −0.349482 | ||||||||
\(49\) | 5.73525 | + | 4.01334i | 0.819322 | + | 0.573334i | ||||
\(50\) | −1.54486 | −0.218477 | ||||||||
\(51\) | −1.39340 | − | 0.950007i | −0.195116 | − | 0.133028i | ||||
\(52\) | 1.25257 | + | 1.16221i | 0.173700 | + | 0.161170i | ||||
\(53\) | −1.40641 | − | 3.58348i | −0.193186 | − | 0.492229i | 0.801156 | − | 0.598455i | \(-0.204219\pi\) |
−0.994342 | + | 0.106226i | \(0.966123\pi\) | |||||||
\(54\) | 2.63244 | − | 0.812001i | 0.358230 | − | 0.110499i | ||||
\(55\) | −0.963239 | − | 4.22022i | −0.129883 | − | 0.569055i | ||||
\(56\) | −2.67582 | + | 4.57019i | −0.357571 | + | 0.610718i | ||||
\(57\) | 1.44981 | − | 6.35205i | 0.192033 | − | 0.841350i | ||||
\(58\) | −0.178955 | − | 2.38799i | −0.0234980 | − | 0.313559i | ||||
\(59\) | 14.4429 | + | 4.45505i | 1.88031 | + | 0.579998i | 0.992891 | + | 0.119031i | \(0.0379787\pi\) |
0.887417 | + | 0.460967i | \(0.152497\pi\) | |||||||
\(60\) | −0.193423 | + | 2.58105i | −0.0249708 | + | 0.333212i | ||||
\(61\) | −0.255188 | + | 0.650210i | −0.0326735 | + | 0.0832508i | −0.946279 | − | 0.323350i | \(-0.895191\pi\) |
0.913606 | + | 0.406601i | \(0.133286\pi\) | |||||||
\(62\) | 1.64913 | − | 0.794180i | 0.209440 | − | 0.100861i | ||||
\(63\) | −1.16449 | + | 4.96257i | −0.146712 | + | 0.625225i | ||||
\(64\) | 1.65116 | + | 0.795159i | 0.206396 | + | 0.0993948i | ||||
\(65\) | 1.07178 | − | 0.994464i | 0.132938 | − | 0.123348i | ||||
\(66\) | −1.63705 | + | 0.246745i | −0.201506 | + | 0.0303722i | ||||
\(67\) | −6.37686 | + | 11.0450i | −0.779057 | + | 1.34937i | 0.153429 | + | 0.988160i | \(0.450968\pi\) |
−0.932486 | + | 0.361207i | \(0.882365\pi\) | |||||||
\(68\) | 1.39069 | + | 2.40875i | 0.168646 | + | 0.292104i | ||||
\(69\) | −3.20273 | − | 4.01609i | −0.385563 | − | 0.483481i | ||||
\(70\) | 1.71783 | + | 1.18657i | 0.205320 | + | 0.141823i | ||||
\(71\) | −6.47848 | + | 8.12376i | −0.768854 | + | 0.964113i | −0.999961 | − | 0.00881562i | \(-0.997194\pi\) |
0.231107 | + | 0.972928i | \(0.425765\pi\) | |||||||
\(72\) | −3.81338 | − | 0.574775i | −0.449411 | − | 0.0677379i | ||||
\(73\) | 6.50680 | − | 4.43626i | 0.761564 | − | 0.519225i | −0.119149 | − | 0.992876i | \(-0.538017\pi\) |
0.880713 | + | 0.473651i | \(0.157064\pi\) | |||||||
\(74\) | 4.46068 | − | 3.04124i | 0.518543 | − | 0.353537i | ||||
\(75\) | −2.93237 | − | 0.441983i | −0.338601 | − | 0.0510358i | ||||
\(76\) | −6.69978 | + | 8.40126i | −0.768518 | + | 0.963691i | ||||
\(77\) | 2.90613 | − | 7.27422i | 0.331184 | − | 0.828974i | ||||
\(78\) | −0.348638 | − | 0.437179i | −0.0394755 | − | 0.0495007i | ||||
\(79\) | −2.81233 | − | 4.87109i | −0.316412 | − | 0.548041i | 0.663325 | − | 0.748331i | \(-0.269145\pi\) |
−0.979737 | + | 0.200291i | \(0.935811\pi\) | |||||||
\(80\) | 1.70848 | − | 2.95917i | 0.191014 | − | 0.330846i | ||||
\(81\) | −0.486256 | + | 0.0732913i | −0.0540284 | + | 0.00814347i | ||||
\(82\) | −2.72879 | + | 2.53194i | −0.301344 | + | 0.279606i | ||||
\(83\) | 10.7997 | + | 5.20086i | 1.18542 | + | 0.570868i | 0.919486 | − | 0.393123i | \(-0.128605\pi\) |
0.265934 | + | 0.963991i | \(0.414320\pi\) | |||||||
\(84\) | −2.94248 | + | 3.64404i | −0.321051 | + | 0.397598i | ||||
\(85\) | 2.14425 | − | 1.03262i | 0.232576 | − | 0.112003i | ||||
\(86\) | 0.957002 | − | 2.43840i | 0.103196 | − | 0.262940i | ||||
\(87\) | 0.343519 | − | 4.58394i | 0.0368291 | − | 0.491450i | ||||
\(88\) | 5.66302 | + | 1.74681i | 0.603680 | + | 0.186211i | ||||
\(89\) | −0.788139 | − | 10.5170i | −0.0835426 | − | 1.11480i | −0.868646 | − | 0.495434i | \(-0.835009\pi\) |
0.785103 | − | 0.619365i | \(-0.212610\pi\) | |||||||
\(90\) | −0.338304 | + | 1.48221i | −0.0356604 | + | 0.156238i | ||||
\(91\) | 2.61855 | − | 0.378401i | 0.274499 | − | 0.0396672i | ||||
\(92\) | 1.88517 | + | 8.25949i | 0.196543 | + | 0.861111i | ||||
\(93\) | 3.35750 | − | 1.03565i | 0.348157 | − | 0.107392i | ||||
\(94\) | 1.77880 | + | 4.53232i | 0.183470 | + | 0.467473i | ||||
\(95\) | 6.74016 | + | 6.25395i | 0.691525 | + | 0.641642i | ||||
\(96\) | −4.50666 | − | 3.07259i | −0.459959 | − | 0.313595i | ||||
\(97\) | −14.6532 | −1.48781 | −0.743904 | − | 0.668286i | \(-0.767028\pi\) | ||||
−0.743904 | + | 0.668286i | \(0.767028\pi\) | |||||||
\(98\) | 1.33737 | + | 3.53343i | 0.135095 | + | 0.356930i | ||||
\(99\) | 5.70414 | 0.573287 | ||||||||
\(100\) | 4.04103 | + | 2.75513i | 0.404103 | + | 0.275513i | ||||
\(101\) | −8.79041 | − | 8.15631i | −0.874679 | − | 0.811583i | 0.108525 | − | 0.994094i | \(-0.465387\pi\) |
−0.983204 | + | 0.182510i | \(0.941578\pi\) | |||||||
\(102\) | −0.332537 | − | 0.847290i | −0.0329260 | − | 0.0838942i | ||||
\(103\) | −0.977769 | + | 0.301602i | −0.0963424 | + | 0.0297177i | −0.342552 | − | 0.939499i | \(-0.611291\pi\) |
0.246209 | + | 0.969217i | \(0.420815\pi\) | |||||||
\(104\) | 0.445412 | + | 1.95148i | 0.0436763 | + | 0.191358i | ||||
\(105\) | 2.92121 | + | 2.74375i | 0.285081 | + | 0.267763i | ||||
\(106\) | 0.462333 | − | 2.02561i | 0.0449058 | − | 0.196745i | ||||
\(107\) | −1.24661 | − | 16.6348i | −0.120514 | − | 1.60815i | −0.650069 | − | 0.759875i | \(-0.725260\pi\) |
0.529555 | − | 0.848276i | \(-0.322359\pi\) | |||||||
\(108\) | −8.33403 | − | 2.57071i | −0.801943 | − | 0.247367i | ||||
\(109\) | −1.02079 | + | 13.6215i | −0.0977738 | + | 1.30470i | 0.705338 | + | 0.708872i | \(0.250795\pi\) |
−0.803111 | + | 0.595829i | \(0.796824\pi\) | |||||||
\(110\) | 0.853554 | − | 2.17482i | 0.0813832 | − | 0.207361i | ||||
\(111\) | 9.33709 | − | 4.49650i | 0.886237 | − | 0.426789i | ||||
\(112\) | 5.58717 | − | 2.64887i | 0.527938 | − | 0.250295i | ||||
\(113\) | −0.236091 | − | 0.113695i | −0.0222095 | − | 0.0106955i | 0.422746 | − | 0.906248i | \(-0.361066\pi\) |
−0.444956 | + | 0.895553i | \(0.646781\pi\) | |||||||
\(114\) | 2.57778 | − | 2.39183i | 0.241431 | − | 0.224015i | ||||
\(115\) | 7.16814 | − | 1.08042i | 0.668433 | − | 0.100750i | ||||
\(116\) | −3.79066 | + | 6.56562i | −0.351954 | + | 0.609603i | ||||
\(117\) | 0.963312 | + | 1.66850i | 0.0890582 | + | 0.154253i | ||||
\(118\) | 5.08616 | + | 6.37784i | 0.468219 | + | 0.587128i | ||||
\(119\) | 4.25461 | + | 0.667784i | 0.390020 | + | 0.0612157i | ||||
\(120\) | −1.89046 | + | 2.37056i | −0.172574 | + | 0.216401i | ||||
\(121\) | 2.20935 | + | 0.333006i | 0.200850 | + | 0.0302733i | ||||
\(122\) | −0.311485 | + | 0.212367i | −0.0282006 | + | 0.0192268i | ||||
\(123\) | −5.90401 | + | 4.02528i | −0.532346 | + | 0.362948i | ||||
\(124\) | −5.73013 | − | 0.863678i | −0.514581 | − | 0.0775605i | ||||
\(125\) | 7.16722 | − | 8.98741i | 0.641056 | − | 0.803858i | ||||
\(126\) | −2.02809 | + | 1.85895i | −0.180677 | + | 0.165609i | ||||
\(127\) | −12.7658 | − | 16.0078i | −1.13278 | − | 1.42046i | −0.893244 | − | 0.449573i | \(-0.851576\pi\) |
−0.239535 | − | 0.970888i | \(-0.576995\pi\) | |||||||
\(128\) | 5.75925 | + | 9.97532i | 0.509051 | + | 0.881702i | ||||
\(129\) | 2.51415 | − | 4.35463i | 0.221358 | − | 0.383404i | ||||
\(130\) | 0.780300 | − | 0.117611i | 0.0684368 | − | 0.0103152i | ||||
\(131\) | −1.84843 | + | 1.71509i | −0.161498 | + | 0.149848i | −0.756783 | − | 0.653667i | \(-0.773230\pi\) |
0.595284 | + | 0.803515i | \(0.297039\pi\) | |||||||
\(132\) | 4.72221 | + | 2.27410i | 0.411015 | + | 0.197935i | ||||
\(133\) | 3.60363 | + | 16.2436i | 0.312475 | + | 1.40850i | ||||
\(134\) | −6.20178 | + | 2.98662i | −0.535752 | + | 0.258004i | ||||
\(135\) | −2.72643 | + | 6.94682i | −0.234653 | + | 0.597887i | ||||
\(136\) | −0.243491 | + | 3.24916i | −0.0208792 | + | 0.278613i | ||||
\(137\) | 11.0744 | + | 3.41600i | 0.946149 | + | 0.291848i | 0.729173 | − | 0.684329i | \(-0.239905\pi\) |
0.216975 | + | 0.976177i | \(0.430381\pi\) | |||||||
\(138\) | −0.207184 | − | 2.76468i | −0.0176367 | − | 0.235345i | ||||
\(139\) | 0.413004 | − | 1.80949i | 0.0350306 | − | 0.153479i | −0.954388 | − | 0.298570i | \(-0.903490\pi\) |
0.989418 | + | 0.145091i | \(0.0463475\pi\) | |||||||
\(140\) | −2.37732 | − | 6.16742i | −0.200921 | − | 0.521242i | ||||
\(141\) | 2.07973 | + | 9.11190i | 0.175145 | + | 0.767360i | ||||
\(142\) | −5.35892 | + | 1.65301i | −0.449711 | + | 0.138717i | ||||
\(143\) | −1.08166 | − | 2.75603i | −0.0904531 | − | 0.230471i | ||||
\(144\) | 3.30067 | + | 3.06257i | 0.275055 | + | 0.255214i | ||||
\(145\) | 5.35987 | + | 3.65430i | 0.445113 | + | 0.303473i | ||||
\(146\) | 4.25042 | 0.351767 | ||||||||
\(147\) | 1.52761 | + | 7.08956i | 0.125995 | + | 0.584737i | ||||
\(148\) | −17.0920 | −1.40495 | ||||||||
\(149\) | −8.29319 | − | 5.65420i | −0.679405 | − | 0.463210i | 0.173804 | − | 0.984780i | \(-0.444394\pi\) |
−0.853208 | + | 0.521570i | \(0.825347\pi\) | |||||||
\(150\) | −1.17328 | − | 1.08864i | −0.0957977 | − | 0.0888873i | ||||
\(151\) | −1.46964 | − | 3.74457i | −0.119597 | − | 0.304729i | 0.858521 | − | 0.512778i | \(-0.171384\pi\) |
−0.978118 | + | 0.208050i | \(0.933288\pi\) | |||||||
\(152\) | −12.0288 | + | 3.71038i | −0.975661 | + | 0.300951i | ||||
\(153\) | 0.697852 | + | 3.05749i | 0.0564180 | + | 0.247183i | ||||
\(154\) | 3.50758 | − | 2.36029i | 0.282649 | − | 0.190197i | ||||
\(155\) | −1.10336 | + | 4.83413i | −0.0886239 | + | 0.388287i | ||||
\(156\) | 0.132293 | + | 1.76533i | 0.0105919 | + | 0.141340i | ||||
\(157\) | 4.49820 | + | 1.38751i | 0.358995 | + | 0.110735i | 0.469006 | − | 0.883195i | \(-0.344612\pi\) |
−0.110011 | + | 0.993930i | \(0.535089\pi\) | |||||||
\(158\) | 0.226862 | − | 3.02726i | 0.0180481 | − | 0.240836i | ||||
\(159\) | 1.45710 | − | 3.71263i | 0.115556 | − | 0.294431i | ||||
\(160\) | 6.93510 | − | 3.33977i | 0.548268 | − | 0.264032i | ||||
\(161\) | 11.7839 | + | 5.76345i | 0.928705 | + | 0.454224i | ||||
\(162\) | −0.239123 | − | 0.115156i | −0.0187873 | − | 0.00904749i | ||||
\(163\) | −10.2536 | + | 9.51396i | −0.803125 | + | 0.745191i | −0.970603 | − | 0.240685i | \(-0.922628\pi\) |
0.167479 | + | 0.985876i | \(0.446437\pi\) | |||||||
\(164\) | 11.6534 | − | 1.75647i | 0.909979 | − | 0.137157i | ||||
\(165\) | 2.24238 | − | 3.88391i | 0.174569 | − | 0.302362i | ||||
\(166\) | 3.23475 | + | 5.60276i | 0.251065 | + | 0.434858i | ||||
\(167\) | 0.812983 | + | 1.01945i | 0.0629105 | + | 0.0788873i | 0.812291 | − | 0.583252i | \(-0.198220\pi\) |
−0.749381 | + | 0.662139i | \(0.769649\pi\) | |||||||
\(168\) | −5.25275 | + | 1.58532i | −0.405258 | + | 0.122310i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | 1.27016 | + | 0.191445i | 0.0974165 | + | 0.0146832i | ||||
\(171\) | −10.0108 | + | 6.82523i | −0.765543 | + | 0.521939i | ||||
\(172\) | −6.85199 | + | 4.67160i | −0.522459 | + | 0.356207i | ||||
\(173\) | −2.19845 | − | 0.331363i | −0.167145 | − | 0.0251930i | 0.0649366 | − | 0.997889i | \(-0.479315\pi\) |
−0.232081 | + | 0.972696i | \(0.574554\pi\) | |||||||
\(174\) | 1.54687 | − | 1.93972i | 0.117268 | − | 0.147049i | ||||
\(175\) | 7.25003 | − | 2.18811i | 0.548051 | − | 0.165406i | ||||
\(176\) | −4.31412 | − | 5.40974i | −0.325189 | − | 0.407774i | ||||
\(177\) | 7.82956 | + | 13.5612i | 0.588506 | + | 1.01932i | ||||
\(178\) | 2.84608 | − | 4.92956i | 0.213323 | − | 0.369486i | ||||
\(179\) | −17.7476 | + | 2.67502i | −1.32652 | + | 0.199940i | −0.773801 | − | 0.633429i | \(-0.781647\pi\) |
−0.552716 | + | 0.833369i | \(0.686409\pi\) | |||||||
\(180\) | 3.52832 | − | 3.27380i | 0.262985 | − | 0.244015i | ||||
\(181\) | −18.1782 | − | 8.75416i | −1.35117 | − | 0.650691i | −0.388524 | − | 0.921439i | \(-0.627015\pi\) |
−0.962650 | + | 0.270747i | \(0.912729\pi\) | |||||||
\(182\) | 1.28276 | + | 0.627390i | 0.0950846 | + | 0.0465053i | ||||
\(183\) | −0.652001 | + | 0.313987i | −0.0481973 | + | 0.0232106i | ||||
\(184\) | −3.62581 | + | 9.23840i | −0.267298 | + | 0.681064i | ||||
\(185\) | −1.09293 | + | 14.5841i | −0.0803536 | + | 1.07224i | ||||
\(186\) | 1.81211 | + | 0.558963i | 0.132871 | + | 0.0409852i | ||||
\(187\) | −0.360151 | − | 4.80588i | −0.0263368 | − | 0.351440i | ||||
\(188\) | 3.43002 | − | 15.0279i | 0.250160 | − | 1.09602i | ||||
\(189\) | −11.2039 | + | 7.53924i | −0.814966 | + | 0.548399i | ||||
\(190\) | 1.10427 | + | 4.83813i | 0.0801122 | + | 0.350995i | ||||
\(191\) | 19.5770 | − | 6.03870i | 1.41654 | − | 0.436945i | 0.510406 | − | 0.859933i | \(-0.329495\pi\) |
0.906135 | + | 0.422988i | \(0.139019\pi\) | |||||||
\(192\) | 0.693673 | + | 1.76745i | 0.0500616 | + | 0.127555i | ||||
\(193\) | −5.96192 | − | 5.53185i | −0.429148 | − | 0.398192i | 0.435807 | − | 0.900040i | \(-0.356463\pi\) |
−0.864956 | + | 0.501849i | \(0.832653\pi\) | |||||||
\(194\) | −6.53443 | − | 4.45510i | −0.469145 | − | 0.319858i | ||||
\(195\) | 1.51477 | 0.108475 | ||||||||
\(196\) | 2.80328 | − | 11.6278i | 0.200234 | − | 0.830555i | ||||
\(197\) | 10.0603 | 0.716766 | 0.358383 | − | 0.933575i | \(-0.383328\pi\) | ||||
0.358383 | + | 0.933575i | \(0.383328\pi\) | |||||||
\(198\) | 2.54370 | + | 1.73426i | 0.180773 | + | 0.123249i | ||||
\(199\) | 18.1220 | + | 16.8147i | 1.28463 | + | 1.19196i | 0.970097 | + | 0.242717i | \(0.0780387\pi\) |
0.314534 | + | 0.949246i | \(0.398152\pi\) | |||||||
\(200\) | 2.09320 | + | 5.33338i | 0.148011 | + | 0.377127i | ||||
\(201\) | −12.6263 | + | 3.89470i | −0.890591 | + | 0.274711i | ||||
\(202\) | −1.44017 | − | 6.30982i | −0.101330 | − | 0.443957i | ||||
\(203\) | 4.22213 | + | 10.9533i | 0.296335 | + | 0.768774i | ||||
\(204\) | −0.641222 | + | 2.80938i | −0.0448945 | + | 0.196696i | ||||
\(205\) | −0.753582 | − | 10.0559i | −0.0526324 | − | 0.702331i | ||||
\(206\) | −0.527723 | − | 0.162781i | −0.0367682 | − | 0.0113415i | ||||
\(207\) | −0.713850 | + | 9.52567i | −0.0496160 | + | 0.662080i | ||||
\(208\) | 0.853824 | − | 2.17551i | 0.0592020 | − | 0.150844i | ||||
\(209\) | 16.7752 | − | 8.07852i | 1.16037 | − | 0.558803i | ||||
\(210\) | 0.468480 | + | 2.11170i | 0.0323282 | + | 0.145721i | ||||
\(211\) | 16.0320 | + | 7.72059i | 1.10369 | + | 0.531508i | 0.894816 | − | 0.446436i | \(-0.147307\pi\) |
0.208871 | + | 0.977943i | \(0.433021\pi\) | |||||||
\(212\) | −4.82187 | + | 4.47404i | −0.331167 | + | 0.307278i | ||||
\(213\) | −10.6449 | + | 1.60446i | −0.729377 | + | 0.109936i | ||||
\(214\) | 4.50168 | − | 7.79713i | 0.307728 | − | 0.533001i | ||||
\(215\) | 3.54801 | + | 6.14533i | 0.241972 | + | 0.419108i | ||||
\(216\) | −6.37010 | − | 7.98785i | −0.433430 | − | 0.543504i | ||||
\(217\) | −6.61450 | + | 6.06287i | −0.449022 | + | 0.411575i | ||||
\(218\) | −4.59663 | + | 5.76399i | −0.311323 | + | 0.390386i | ||||
\(219\) | 8.06790 | + | 1.21604i | 0.545178 | + | 0.0821723i | ||||
\(220\) | −6.11131 | + | 4.16662i | −0.412025 | + | 0.280914i | ||||
\(221\) | 1.34493 | − | 0.916961i | 0.0904701 | − | 0.0616814i | ||||
\(222\) | 5.53087 | + | 0.833644i | 0.371208 | + | 0.0559505i | ||||
\(223\) | 18.0922 | − | 22.6868i | 1.21154 | − | 1.51922i | 0.420701 | − | 0.907199i | \(-0.361784\pi\) |
0.790839 | − | 0.612024i | \(-0.209644\pi\) | |||||||
\(224\) | 13.7606 | + | 2.15980i | 0.919419 | + | 0.144308i | ||||
\(225\) | 3.43832 | + | 4.31152i | 0.229222 | + | 0.287435i | ||||
\(226\) | −0.0707145 | − | 0.122481i | −0.00470386 | − | 0.00814732i | ||||
\(227\) | 6.11724 | − | 10.5954i | 0.406015 | − | 0.703239i | −0.588424 | − | 0.808553i | \(-0.700251\pi\) |
0.994439 | + | 0.105314i | \(0.0335846\pi\) | |||||||
\(228\) | −11.0085 | + | 1.65927i | −0.729058 | + | 0.109888i | ||||
\(229\) | 7.17873 | − | 6.66089i | 0.474384 | − | 0.440164i | −0.406391 | − | 0.913699i | \(-0.633213\pi\) |
0.880775 | + | 0.473535i | \(0.157022\pi\) | |||||||
\(230\) | 3.52504 | + | 1.69757i | 0.232434 | + | 0.111934i | ||||
\(231\) | 7.33316 | − | 3.47665i | 0.482486 | − | 0.228747i | ||||
\(232\) | −8.00166 | + | 3.85340i | −0.525335 | + | 0.252988i | ||||
\(233\) | 9.08190 | − | 23.1403i | 0.594975 | − | 1.51597i | −0.242867 | − | 0.970060i | \(-0.578088\pi\) |
0.837842 | − | 0.545912i | \(-0.183817\pi\) | |||||||
\(234\) | −0.0777073 | + | 1.03693i | −0.00507989 | + | 0.0677864i | ||||
\(235\) | −12.6036 | − | 3.88769i | −0.822167 | − | 0.253605i | ||||
\(236\) | −1.92998 | − | 25.7538i | −0.125631 | − | 1.67643i | ||||
\(237\) | 1.29671 | − | 5.68126i | 0.0842303 | − | 0.369037i | ||||
\(238\) | 1.69427 | + | 1.59135i | 0.109823 | + | 0.103152i | ||||
\(239\) | −2.27176 | − | 9.95325i | −0.146948 | − | 0.643822i | −0.993723 | − | 0.111870i | \(-0.964316\pi\) |
0.846775 | − | 0.531952i | \(-0.178541\pi\) | |||||||
\(240\) | 3.38283 | − | 1.04346i | 0.218360 | − | 0.0673553i | ||||
\(241\) | 0.817596 | + | 2.08320i | 0.0526660 | + | 0.134191i | 0.954786 | − | 0.297295i | \(-0.0960846\pi\) |
−0.902120 | + | 0.431486i | \(0.857989\pi\) | |||||||
\(242\) | 0.883989 | + | 0.820222i | 0.0568250 | + | 0.0527259i | ||||
\(243\) | −13.0727 | − | 8.91284i | −0.838617 | − | 0.571759i | ||||
\(244\) | 1.19352 | 0.0764071 | ||||||||
\(245\) | −9.74240 | − | 3.13549i | −0.622419 | − | 0.200319i | ||||
\(246\) | −3.85666 | −0.245891 | ||||||||
\(247\) | 5.19602 | + | 3.54259i | 0.330615 | + | 0.225409i | ||||
\(248\) | −4.97625 | − | 4.61729i | −0.315992 | − | 0.293198i | ||||
\(249\) | 4.53707 | + | 11.5603i | 0.287525 | + | 0.732603i | ||||
\(250\) | 5.92864 | − | 1.82874i | 0.374960 | − | 0.115660i | ||||
\(251\) | 0.289512 | + | 1.26843i | 0.0182738 | + | 0.0800629i | 0.983243 | − | 0.182302i | \(-0.0583548\pi\) |
−0.964969 | + | 0.262365i | \(0.915498\pi\) | |||||||
\(252\) | 8.62033 | − | 1.24570i | 0.543030 | − | 0.0784719i | ||||
\(253\) | 3.26647 | − | 14.3113i | 0.205361 | − | 0.899746i | ||||
\(254\) | −0.825815 | − | 11.0197i | −0.0518163 | − | 0.691440i | ||||
\(255\) | 2.35616 | + | 0.726780i | 0.147549 | + | 0.0455127i | ||||
\(256\) | −0.190672 | + | 2.54434i | −0.0119170 | + | 0.159021i | ||||
\(257\) | 1.82918 | − | 4.66066i | 0.114101 | − | 0.290724i | −0.862404 | − | 0.506221i | \(-0.831042\pi\) |
0.976504 | + | 0.215497i | \(0.0691372\pi\) | |||||||
\(258\) | 2.44512 | − | 1.17751i | 0.152227 | − | 0.0733085i | ||||
\(259\) | −16.6264 | + | 20.5905i | −1.03311 | + | 1.27943i | ||||
\(260\) | −2.25085 | − | 1.08395i | −0.139591 | − | 0.0672237i | ||||
\(261\) | −6.26629 | + | 5.81427i | −0.387874 | + | 0.359894i | ||||
\(262\) | −1.34574 | + | 0.202837i | −0.0831399 | + | 0.0125313i | ||||
\(263\) | 10.3246 | − | 17.8828i | 0.636644 | − | 1.10270i | −0.349520 | − | 0.936929i | \(-0.613655\pi\) |
0.986164 | − | 0.165771i | \(-0.0530113\pi\) | |||||||
\(264\) | 3.06995 | + | 5.31730i | 0.188942 | + | 0.327257i | ||||
\(265\) | 3.50925 | + | 4.40046i | 0.215571 | + | 0.270318i | ||||
\(266\) | −3.33163 | + | 8.33927i | −0.204275 | + | 0.511314i | ||||
\(267\) | 6.81260 | − | 8.54273i | 0.416924 | − | 0.522807i | ||||
\(268\) | 21.5489 | + | 3.24797i | 1.31631 | + | 0.198401i | ||||
\(269\) | −6.39175 | + | 4.35782i | −0.389712 | + | 0.265701i | −0.742286 | − | 0.670083i | \(-0.766259\pi\) |
0.352575 | + | 0.935784i | \(0.385306\pi\) | |||||||
\(270\) | −3.32790 | + | 2.26892i | −0.202530 | + | 0.138082i | ||||
\(271\) | −20.5414 | − | 3.09611i | −1.24780 | − | 0.188076i | −0.508269 | − | 0.861198i | \(-0.669714\pi\) |
−0.739531 | + | 0.673123i | \(0.764953\pi\) | |||||||
\(272\) | 2.37189 | − | 2.97426i | 0.143817 | − | 0.180341i | ||||
\(273\) | 2.25537 | + | 1.55787i | 0.136501 | + | 0.0942867i | ||||
\(274\) | 3.89991 | + | 4.89033i | 0.235602 | + | 0.295436i | ||||
\(275\) | −4.23725 | − | 7.33912i | −0.255516 | − | 0.442566i | ||||
\(276\) | −4.38861 | + | 7.60129i | −0.264163 | + | 0.457544i | ||||
\(277\) | −4.86297 | + | 0.732974i | −0.292187 | + | 0.0440402i | −0.293500 | − | 0.955959i | \(-0.594820\pi\) |
0.00131292 | + | 0.999999i | \(0.499582\pi\) | |||||||
\(278\) | 0.734324 | − | 0.681353i | 0.0440418 | − | 0.0408649i | ||||
\(279\) | −5.88685 | − | 2.83496i | −0.352436 | − | 0.169724i | ||||
\(280\) | 1.76889 | − | 7.53826i | 0.105711 | − | 0.450497i | ||||
\(281\) | −19.1366 | + | 9.21570i | −1.14159 | + | 0.549763i | −0.906498 | − | 0.422210i | \(-0.861255\pi\) |
−0.235095 | + | 0.971972i | \(0.575540\pi\) | |||||||
\(282\) | −1.84291 | + | 4.69566i | −0.109744 | + | 0.279623i | ||||
\(283\) | −1.39323 | + | 18.5914i | −0.0828192 | + | 1.10515i | 0.788698 | + | 0.614780i | \(0.210755\pi\) |
−0.871517 | + | 0.490365i | \(0.836864\pi\) | |||||||
\(284\) | 16.9658 | + | 5.23325i | 1.00673 | + | 0.310536i | ||||
\(285\) | 0.711880 | + | 9.49938i | 0.0421681 | + | 0.562695i | ||||
\(286\) | 0.355577 | − | 1.55788i | 0.0210257 | − | 0.0921196i | ||||
\(287\) | 9.21998 | − | 15.7474i | 0.544238 | − | 0.929538i | ||||
\(288\) | 2.25705 | + | 9.88877i | 0.132998 | + | 0.582701i | ||||
\(289\) | −13.7128 | + | 4.22984i | −0.806635 | + | 0.248814i | ||||
\(290\) | 1.27914 | + | 3.25919i | 0.0751135 | + | 0.191386i | ||||
\(291\) | −11.1287 | − | 10.3259i | −0.652375 | − | 0.605315i | ||||
\(292\) | −11.1182 | − | 7.58025i | −0.650642 | − | 0.443600i | ||||
\(293\) | −17.4352 | −1.01858 | −0.509289 | − | 0.860596i | \(-0.670091\pi\) | ||||
−0.509289 | + | 0.860596i | \(0.670091\pi\) | |||||||
\(294\) | −1.47426 | + | 3.62596i | −0.0859806 | + | 0.211470i | ||||
\(295\) | −22.0984 | −1.28662 | ||||||||
\(296\) | −16.5433 | − | 11.2790i | −0.961561 | − | 0.655581i | ||||
\(297\) | 11.0778 | + | 10.2787i | 0.642799 | + | 0.596430i | ||||
\(298\) | −1.97917 | − | 5.04285i | −0.114651 | − | 0.292125i | ||||
\(299\) | 4.73782 | − | 1.46142i | 0.273995 | − | 0.0845163i | ||||
\(300\) | 1.12754 | + | 4.94009i | 0.0650988 | + | 0.285216i | ||||
\(301\) | −1.03750 | + | 12.7989i | −0.0598008 | + | 0.737715i | ||||
\(302\) | 0.483116 | − | 2.11667i | 0.0278002 | − | 0.121801i | ||||
\(303\) | −0.928424 | − | 12.3890i | −0.0533365 | − | 0.711727i | ||||
\(304\) | 14.0443 | + | 4.33208i | 0.805494 | + | 0.248462i | ||||
\(305\) | 0.0763182 | − | 1.01840i | 0.00436997 | − | 0.0583131i | ||||
\(306\) | −0.618387 | + | 1.57562i | −0.0353508 | + | 0.0900725i | ||||
\(307\) | 10.6258 | − | 5.11710i | 0.606445 | − | 0.292048i | −0.105351 | − | 0.994435i | \(-0.533597\pi\) |
0.711796 | + | 0.702387i | \(0.247882\pi\) | |||||||
\(308\) | −13.3844 | − | 0.0814526i | −0.762649 | − | 0.00464119i | ||||
\(309\) | −0.955121 | − | 0.459962i | −0.0543349 | − | 0.0261663i | ||||
\(310\) | −1.96178 | + | 1.82027i | −0.111422 | + | 0.103384i | ||||
\(311\) | −3.49850 | + | 0.527314i | −0.198382 | + | 0.0299012i | −0.247481 | − | 0.968893i | \(-0.579603\pi\) |
0.0490996 | + | 0.998794i | \(0.484365\pi\) | |||||||
\(312\) | −1.03690 | + | 1.79597i | −0.0587030 | + | 0.101677i | ||||
\(313\) | −11.1372 | − | 19.2901i | −0.629509 | − | 1.09034i | −0.987650 | − | 0.156675i | \(-0.949923\pi\) |
0.358141 | − | 0.933668i | \(-0.383411\pi\) | |||||||
\(314\) | 1.58407 | + | 1.98636i | 0.0893941 | + | 0.112097i | ||||
\(315\) | −0.511706 | − | 7.43515i | −0.0288314 | − | 0.418923i | ||||
\(316\) | −5.99227 | + | 7.51407i | −0.337091 | + | 0.422699i | ||||
\(317\) | −22.2335 | − | 3.35116i | −1.24876 | − | 0.188220i | −0.508808 | − | 0.860880i | \(-0.669914\pi\) |
−0.739952 | + | 0.672660i | \(0.765152\pi\) | |||||||
\(318\) | 1.77855 | − | 1.21259i | 0.0997361 | − | 0.0679989i | ||||
\(319\) | 10.8537 | − | 7.39993i | 0.607691 | − | 0.414316i | ||||
\(320\) | −2.64955 | − | 0.399356i | −0.148114 | − | 0.0223247i | ||||
\(321\) | 10.7756 | − | 13.5121i | 0.601433 | − | 0.754174i | ||||
\(322\) | 3.50262 | + | 6.15289i | 0.195194 | + | 0.342887i | ||||
\(323\) | 6.38249 | + | 8.00339i | 0.355131 | + | 0.445321i | ||||
\(324\) | 0.420125 | + | 0.727678i | 0.0233403 | + | 0.0404266i | ||||
\(325\) | 1.43117 | − | 2.47885i | 0.0793869 | − | 0.137502i | ||||
\(326\) | −7.46507 | + | 1.12518i | −0.413452 | + | 0.0623178i | ||||
\(327\) | −10.3741 | + | 9.62577i | −0.573690 | + | 0.532306i | ||||
\(328\) | 12.4385 | + | 5.99004i | 0.686799 | + | 0.330745i | ||||
\(329\) | −14.7674 | − | 18.7507i | −0.814152 | − | 1.03376i | ||||
\(330\) | 2.18081 | − | 1.05022i | 0.120050 | − | 0.0578129i | ||||
\(331\) | −13.1922 | + | 33.6132i | −0.725109 | + | 1.84755i | −0.247802 | + | 0.968811i | \(0.579708\pi\) |
−0.477307 | + | 0.878736i | \(0.658387\pi\) | |||||||
\(332\) | 1.53060 | − | 20.4245i | 0.0840028 | − | 1.12094i | ||||
\(333\) | −18.4156 | − | 5.68046i | −1.00917 | − | 0.311288i | ||||
\(334\) | 0.0525917 | + | 0.701787i | 0.00287769 | + | 0.0384001i | ||||
\(335\) | 4.14932 | − | 18.1794i | 0.226702 | − | 0.993245i | ||||
\(336\) | 6.10991 | + | 1.92545i | 0.333323 | + | 0.105042i | ||||
\(337\) | −3.58491 | − | 15.7065i | −0.195283 | − | 0.855589i | −0.973698 | − | 0.227840i | \(-0.926834\pi\) |
0.778416 | − | 0.627749i | \(-0.216024\pi\) | |||||||
\(338\) | 0.515743 | − | 0.159086i | 0.0280527 | − | 0.00865312i | ||||
\(339\) | −0.0991844 | − | 0.252718i | −0.00538696 | − | 0.0137257i | ||||
\(340\) | −2.98103 | − | 2.76599i | −0.161669 | − | 0.150007i | ||||
\(341\) | 8.29612 | + | 5.65620i | 0.449260 | + | 0.306300i | ||||
\(342\) | −6.53931 | −0.353605 | ||||||||
\(343\) | −11.2809 | − | 14.6881i | −0.609113 | − | 0.793083i | ||||
\(344\) | −9.71485 | −0.523790 | ||||||||
\(345\) | 6.20535 | + | 4.23073i | 0.334085 | + | 0.227775i | ||||
\(346\) | −0.879627 | − | 0.816174i | −0.0472890 | − | 0.0438778i | ||||
\(347\) | 2.80690 | + | 7.15187i | 0.150682 | + | 0.383932i | 0.986206 | − | 0.165522i | \(-0.0529309\pi\) |
−0.835524 | + | 0.549454i | \(0.814836\pi\) | |||||||
\(348\) | −7.50559 | + | 2.31517i | −0.402342 | + | 0.124106i | ||||
\(349\) | 1.88492 | + | 8.25838i | 0.100898 | + | 0.442061i | 0.999991 | + | 0.00430378i | \(0.00136994\pi\) |
−0.899093 | + | 0.437757i | \(0.855773\pi\) | |||||||
\(350\) | 3.89833 | + | 1.22851i | 0.208375 | + | 0.0656664i | ||||
\(351\) | −1.13579 | + | 4.97620i | −0.0606237 | + | 0.265610i | ||||
\(352\) | −1.16483 | − | 15.5435i | −0.0620855 | − | 0.828474i | ||||
\(353\) | 4.08290 | + | 1.25941i | 0.217311 | + | 0.0670316i | 0.401499 | − | 0.915859i | \(-0.368489\pi\) |
−0.184188 | + | 0.982891i | \(0.558966\pi\) | |||||||
\(354\) | −0.631586 | + | 8.42793i | −0.0335684 | + | 0.447939i | ||||
\(355\) | 5.55024 | − | 14.1418i | 0.294576 | − | 0.750568i | ||||
\(356\) | −16.2362 | + | 7.81892i | −0.860515 | + | 0.414402i | ||||
\(357\) | 2.76067 | + | 3.50532i | 0.146110 | + | 0.185521i | ||||
\(358\) | −8.72764 | − | 4.20301i | −0.461270 | − | 0.222136i | ||||
\(359\) | −3.90450 | + | 3.62285i | −0.206072 | + | 0.191207i | −0.776456 | − | 0.630171i | \(-0.782985\pi\) |
0.570384 | + | 0.821378i | \(0.306794\pi\) | |||||||
\(360\) | 5.57545 | − | 0.840364i | 0.293852 | − | 0.0442911i | ||||
\(361\) | −10.2743 | + | 17.7956i | −0.540752 | + | 0.936610i | ||||
\(362\) | −5.44478 | − | 9.43064i | −0.286171 | − | 0.495663i | ||||
\(363\) | 1.44327 | + | 1.80980i | 0.0757521 | + | 0.0949901i | ||||
\(364\) | −2.23653 | − | 3.92881i | −0.117226 | − | 0.205926i | ||||
\(365\) | −7.17896 | + | 9.00213i | −0.375764 | + | 0.471193i | ||||
\(366\) | −0.386216 | − | 0.0582127i | −0.0201878 | − | 0.00304283i | ||||
\(367\) | 5.55252 | − | 3.78564i | 0.289839 | − | 0.197609i | −0.409668 | − | 0.912235i | \(-0.634355\pi\) |
0.699507 | + | 0.714626i | \(0.253403\pi\) | |||||||
\(368\) | 9.57393 | − | 6.52739i | 0.499076 | − | 0.340264i | ||||
\(369\) | 13.1397 | + | 1.98048i | 0.684023 | + | 0.103100i | ||||
\(370\) | −4.92146 | + | 6.17132i | −0.255855 | + | 0.320832i | ||||
\(371\) | 0.699309 | + | 10.1610i | 0.0363063 | + | 0.527534i | ||||
\(372\) | −3.74324 | − | 4.69387i | −0.194078 | − | 0.243366i | ||||
\(373\) | −13.4142 | − | 23.2340i | −0.694559 | − | 1.20301i | −0.970329 | − | 0.241788i | \(-0.922266\pi\) |
0.275770 | − | 0.961224i | \(-0.411067\pi\) | |||||||
\(374\) | 1.30055 | − | 2.25262i | 0.0672500 | − | 0.116480i | ||||
\(375\) | 11.7766 | − | 1.77503i | 0.608140 | − | 0.0916624i | ||||
\(376\) | 13.2369 | − | 12.2821i | 0.682641 | − | 0.633398i | ||||
\(377\) | 3.99750 | + | 1.92510i | 0.205882 | + | 0.0991475i | ||||
\(378\) | −7.28846 | − | 0.0443548i | −0.374878 | − | 0.00228136i | ||||
\(379\) | 21.0063 | − | 10.1161i | 1.07902 | − | 0.519630i | 0.192019 | − | 0.981391i | \(-0.438497\pi\) |
0.887004 | + | 0.461761i | \(0.152782\pi\) | |||||||
\(380\) | 5.73984 | − | 14.6249i | 0.294448 | − | 0.750240i | ||||
\(381\) | 1.58522 | − | 21.1533i | 0.0812132 | − | 1.08372i | ||||
\(382\) | 10.5661 | + | 3.25922i | 0.540610 | + | 0.166756i | ||||
\(383\) | −2.57405 | − | 34.3483i | −0.131528 | − | 1.75511i | −0.539376 | − | 0.842065i | \(-0.681340\pi\) |
0.407848 | − | 0.913050i | \(-0.366279\pi\) | |||||||
\(384\) | −2.65548 | + | 11.6344i | −0.135512 | + | 0.593716i | ||||
\(385\) | −0.925355 | + | 11.4154i | −0.0471604 | + | 0.581781i | ||||
\(386\) | −0.976769 | − | 4.27951i | −0.0497162 | − | 0.217821i | ||||
\(387\) | −8.93522 | + | 2.75615i | −0.454203 | + | 0.140103i | ||||
\(388\) | 9.14739 | + | 23.3072i | 0.464388 | + | 1.18324i | ||||
\(389\) | −10.1182 | − | 9.38831i | −0.513013 | − | 0.476006i | 0.380667 | − | 0.924712i | \(-0.375695\pi\) |
−0.893679 | + | 0.448706i | \(0.851885\pi\) | |||||||
\(390\) | 0.675493 | + | 0.460544i | 0.0342049 | + | 0.0233205i | ||||
\(391\) | 8.07068 | 0.408152 | ||||||||
\(392\) | 10.3865 | − | 9.40463i | 0.524598 | − | 0.475006i | ||||
\(393\) | −2.61243 | −0.131780 | ||||||||
\(394\) | 4.48627 | + | 3.05869i | 0.226015 | + | 0.154095i | ||||
\(395\) | 6.02838 | + | 5.59352i | 0.303321 | + | 0.281440i | ||||
\(396\) | −3.56086 | − | 9.07291i | −0.178940 | − | 0.455931i | ||||
\(397\) | −26.4551 | + | 8.16033i | −1.32774 | + | 0.409555i | −0.875879 | − | 0.482531i | \(-0.839718\pi\) |
−0.451866 | + | 0.892086i | \(0.649241\pi\) | |||||||
\(398\) | 2.96900 | + | 13.0081i | 0.148823 | + | 0.652035i | ||||
\(399\) | −8.70976 | + | 14.8759i | −0.436033 | + | 0.744729i | ||||
\(400\) | 1.48854 | − | 6.52173i | 0.0744271 | − | 0.326087i | ||||
\(401\) | −1.07019 | − | 14.2807i | −0.0534427 | − | 0.713144i | −0.957996 | − | 0.286783i | \(-0.907414\pi\) |
0.904553 | − | 0.426361i | \(-0.140205\pi\) | |||||||
\(402\) | −6.81469 | − | 2.10205i | −0.339886 | − | 0.104841i | ||||
\(403\) | −0.253438 | + | 3.38189i | −0.0126246 | + | 0.168464i | ||||
\(404\) | −7.48582 | + | 19.0735i | −0.372433 | + | 0.948944i | ||||
\(405\) | 0.647772 | − | 0.311951i | 0.0321881 | − | 0.0155010i | ||||
\(406\) | −1.44740 | + | 6.16820i | −0.0718332 | + | 0.306123i | ||||
\(407\) | 26.6826 | + | 12.8497i | 1.32261 | + | 0.636935i | ||||
\(408\) | −2.47456 | + | 2.29605i | −0.122509 | + | 0.113672i | ||||
\(409\) | −6.14612 | + | 0.926378i | −0.303906 | + | 0.0458065i | −0.299225 | − | 0.954183i | \(-0.596728\pi\) |
−0.00468103 | + | 0.999989i | \(0.501490\pi\) | |||||||
\(410\) | 2.72129 | − | 4.71341i | 0.134395 | − | 0.232779i | ||||
\(411\) | 6.00346 | + | 10.3983i | 0.296129 | + | 0.512911i | ||||
\(412\) | 1.09010 | + | 1.36695i | 0.0537055 | + | 0.0673446i | ||||
\(413\) | −32.9027 | − | 22.7272i | −1.61904 | − | 1.11833i | ||||
\(414\) | −3.21448 | + | 4.03083i | −0.157983 | + | 0.198104i | ||||
\(415\) | −17.3298 | − | 2.61205i | −0.850686 | − | 0.128220i | ||||
\(416\) | 4.34989 | − | 2.96571i | 0.213271 | − | 0.145406i | ||||
\(417\) | 1.58879 | − | 1.08322i | 0.0778031 | − | 0.0530453i | ||||
\(418\) | 9.93688 | + | 1.49774i | 0.486029 | + | 0.0732571i | ||||
\(419\) | −17.2844 | + | 21.6739i | −0.844397 | + | 1.05884i | 0.153106 | + | 0.988210i | \(0.451073\pi\) |
−0.997503 | + | 0.0706304i | \(0.977499\pi\) | |||||||
\(420\) | 2.54059 | − | 6.35924i | 0.123968 | − | 0.310299i | ||||
\(421\) | −7.67213 | − | 9.62055i | −0.373917 | − | 0.468877i | 0.558896 | − | 0.829238i | \(-0.311225\pi\) |
−0.932813 | + | 0.360361i | \(0.882654\pi\) | |||||||
\(422\) | 4.80194 | + | 8.31721i | 0.233755 | + | 0.404875i | ||||
\(423\) | 8.69015 | − | 15.0518i | 0.422529 | − | 0.731842i | ||||
\(424\) | −7.61953 | + | 1.14846i | −0.370037 | + | 0.0557741i | ||||
\(425\) | 3.41547 | − | 3.16909i | 0.165675 | − | 0.153724i | ||||
\(426\) | −5.23479 | − | 2.52094i | −0.253626 | − | 0.122140i | ||||
\(427\) | 1.16101 | − | 1.43782i | 0.0561850 | − | 0.0695809i | ||||
\(428\) | −25.6809 | + | 12.3673i | −1.24133 | + | 0.597795i | ||||
\(429\) | 1.12064 | − | 2.85535i | 0.0541052 | − | 0.137858i | ||||
\(430\) | −0.286207 | + | 3.81916i | −0.0138021 | + | 0.184176i | ||||
\(431\) | 30.1931 | + | 9.31335i | 1.45435 | + | 0.448608i | 0.918404 | − | 0.395643i | \(-0.129478\pi\) |
0.535948 | + | 0.844251i | \(0.319954\pi\) | |||||||
\(432\) | 0.891437 | + | 11.8954i | 0.0428893 | + | 0.572318i | ||||
\(433\) | 1.10233 | − | 4.82962i | 0.0529745 | − | 0.232097i | −0.941509 | − | 0.336987i | \(-0.890592\pi\) |
0.994484 | + | 0.104891i | \(0.0334492\pi\) | |||||||
\(434\) | −4.79299 | + | 0.692624i | −0.230071 | + | 0.0332470i | ||||
\(435\) | 1.49553 | + | 6.55236i | 0.0717053 | + | 0.314161i | ||||
\(436\) | 22.3033 | − | 6.87967i | 1.06814 | − | 0.329476i | ||||
\(437\) | 11.3914 | + | 29.0249i | 0.544926 | + | 1.38845i | ||||
\(438\) | 3.22807 | + | 2.99521i | 0.154243 | + | 0.143117i | ||||
\(439\) | 17.0393 | + | 11.6172i | 0.813241 | + | 0.554458i | 0.897001 | − | 0.442028i | \(-0.145741\pi\) |
−0.0837608 | + | 0.996486i | \(0.526693\pi\) | |||||||
\(440\) | −8.66472 | −0.413074 | ||||||||
\(441\) | 6.88483 | − | 11.5966i | 0.327849 | − | 0.552219i | ||||
\(442\) | 0.878547 | 0.0417882 | ||||||||
\(443\) | 12.5433 | + | 8.55186i | 0.595949 | + | 0.406311i | 0.823386 | − | 0.567482i | \(-0.192082\pi\) |
−0.227437 | + | 0.973793i | \(0.573035\pi\) | |||||||
\(444\) | −12.9808 | − | 12.0444i | −0.616043 | − | 0.571604i | ||||
\(445\) | 5.63347 | + | 14.3538i | 0.267052 | + | 0.680437i | ||||
\(446\) | 14.9656 | − | 4.61628i | 0.708642 | − | 0.218587i | ||||
\(447\) | −2.31400 | − | 10.1383i | −0.109448 | − | 0.479525i | ||||
\(448\) | −3.53425 | − | 3.31955i | −0.166977 | − | 0.156834i | ||||
\(449\) | −1.90543 | + | 8.34825i | −0.0899230 | + | 0.393978i | −0.999781 | − | 0.0209421i | \(-0.993333\pi\) |
0.909858 | + | 0.414920i | \(0.136191\pi\) | |||||||
\(450\) | 0.222424 | + | 2.96805i | 0.0104852 | + | 0.139915i | ||||
\(451\) | −19.5129 | − | 6.01894i | −0.918827 | − | 0.283421i | ||||
\(452\) | −0.0334603 | + | 0.446497i | −0.00157384 | + | 0.0210015i | ||||
\(453\) | 1.52260 | − | 3.87952i | 0.0715380 | − | 0.182276i | ||||
\(454\) | 5.94928 | − | 2.86502i | 0.279214 | − | 0.134462i | ||||
\(455\) | −3.49536 | + | 1.65715i | −0.163865 | + | 0.0776883i | ||||
\(456\) | −11.7501 | − | 5.65856i | −0.550250 | − | 0.264987i | ||||
\(457\) | 4.01602 | − | 3.72633i | 0.187862 | − | 0.174310i | −0.580635 | − | 0.814164i | \(-0.697196\pi\) |
0.768497 | + | 0.639854i | \(0.221005\pi\) | |||||||
\(458\) | 5.22642 | − | 0.787757i | 0.244215 | − | 0.0368095i | ||||
\(459\) | −4.15423 | + | 7.19534i | −0.193903 | + | 0.335850i | ||||
\(460\) | −6.19328 | − | 10.7271i | −0.288763 | − | 0.500152i | ||||
\(461\) | −0.512179 | − | 0.642252i | −0.0238546 | − | 0.0299127i | 0.769761 | − | 0.638332i | \(-0.220375\pi\) |
−0.793616 | + | 0.608419i | \(0.791804\pi\) | |||||||
\(462\) | 4.32716 | + | 0.679171i | 0.201318 | + | 0.0315979i | ||||
\(463\) | −10.6615 | + | 13.3691i | −0.495482 | + | 0.621315i | −0.965203 | − | 0.261500i | \(-0.915783\pi\) |
0.469722 | + | 0.882815i | \(0.344354\pi\) | |||||||
\(464\) | 10.2535 | + | 1.54546i | 0.476006 | + | 0.0717463i | ||||
\(465\) | −4.24451 | + | 2.89386i | −0.196834 | + | 0.134199i | ||||
\(466\) | 11.0855 | − | 7.55794i | 0.513524 | − | 0.350115i | ||||
\(467\) | 26.1558 | + | 3.94236i | 1.21035 | + | 0.182431i | 0.723044 | − | 0.690802i | \(-0.242742\pi\) |
0.487304 | + | 0.873233i | \(0.337980\pi\) | |||||||
\(468\) | 2.05254 | − | 2.57381i | 0.0948788 | − | 0.118974i | ||||
\(469\) | 24.8747 | − | 22.8002i | 1.14861 | − | 1.05282i | ||||
\(470\) | −4.43843 | − | 5.56561i | −0.204729 | − | 0.256722i | ||||
\(471\) | 2.43849 | + | 4.22359i | 0.112360 | + | 0.194613i | ||||
\(472\) | 15.1270 | − | 26.2007i | 0.696276 | − | 1.20599i | ||||
\(473\) | 14.2089 | − | 2.14164i | 0.653325 | − | 0.0984729i | ||||
\(474\) | 2.30556 | − | 2.13925i | 0.105898 | − | 0.0982588i | ||||
\(475\) | 16.2179 | + | 7.81015i | 0.744130 | + | 0.358354i | ||||
\(476\) | −1.59381 | − | 7.18419i | −0.0730522 | − | 0.329287i | ||||
\(477\) | −6.68223 | + | 3.21799i | −0.305958 | + | 0.147342i | ||||
\(478\) | 2.01308 | − | 5.12924i | 0.0920760 | − | 0.234606i | ||||
\(479\) | −0.901009 | + | 12.0231i | −0.0411681 | + | 0.549351i | 0.938045 | + | 0.346515i | \(0.112635\pi\) |
−0.979213 | + | 0.202836i | \(0.934984\pi\) | |||||||
\(480\) | 7.62048 | + | 2.35061i | 0.347826 | + | 0.107290i | ||||
\(481\) | 0.747517 | + | 9.97492i | 0.0340838 | + | 0.454817i | ||||
\(482\) | −0.268770 | + | 1.17756i | −0.0122421 | + | 0.0536363i | ||||
\(483\) | 4.88814 | + | 12.6811i | 0.222418 | + | 0.577012i | ||||
\(484\) | −0.849531 | − | 3.72204i | −0.0386151 | − | 0.169184i | ||||
\(485\) | 20.4723 | − | 6.31486i | 0.929599 | − | 0.286743i | ||||
\(486\) | −3.11982 | − | 7.94917i | −0.141518 | − | 0.360581i | ||||
\(487\) | −25.7011 | − | 23.8471i | −1.16463 | − | 1.08062i | −0.995475 | − | 0.0950265i | \(-0.969706\pi\) |
−0.169153 | − | 0.985590i | \(-0.554103\pi\) | |||||||
\(488\) | 1.15521 | + | 0.787606i | 0.0522937 | + | 0.0356533i | ||||
\(489\) | −14.4917 | −0.655335 | ||||||||
\(490\) | −3.39121 | − | 4.36027i | −0.153199 | − | 0.196977i | ||||
\(491\) | 20.9665 | 0.946203 | 0.473102 | − | 0.881008i | \(-0.343134\pi\) | ||||
0.473102 | + | 0.881008i | \(0.343134\pi\) | |||||||
\(492\) | 10.0882 | + | 6.87800i | 0.454810 | + | 0.310084i | ||||
\(493\) | 5.29431 | + | 4.91240i | 0.238444 | + | 0.221243i | ||||
\(494\) | 1.24003 | + | 3.15955i | 0.0557918 | + | 0.142155i | ||||
\(495\) | −7.96936 | + | 2.45822i | −0.358196 | + | 0.110489i | ||||
\(496\) | 1.76367 | + | 7.72714i | 0.0791911 | + | 0.346959i | ||||
\(497\) | 22.8081 | − | 15.3478i | 1.02308 | − | 0.688443i | ||||
\(498\) | −1.49148 | + | 6.53461i | −0.0668349 | + | 0.292823i | ||||
\(499\) | 0.600635 | + | 8.01492i | 0.0268881 | + | 0.358797i | 0.994378 | + | 0.105888i | \(0.0337684\pi\) |
−0.967490 | + | 0.252909i | \(0.918613\pi\) | |||||||
\(500\) | −18.7694 | − | 5.78960i | −0.839395 | − | 0.258919i | ||||
\(501\) | −0.100954 | + | 1.34714i | −0.00451029 | + | 0.0601857i | ||||
\(502\) | −0.256545 | + | 0.653666i | −0.0114502 | + | 0.0291745i | ||||
\(503\) | −12.2254 | + | 5.88743i | −0.545103 | + | 0.262508i | −0.686106 | − | 0.727502i | \(-0.740681\pi\) |
0.141004 | + | 0.990009i | \(0.454967\pi\) | |||||||
\(504\) | 9.16567 | + | 4.48287i | 0.408272 | + | 0.199683i | ||||
\(505\) | 15.7963 | + | 7.60708i | 0.702924 | + | 0.338510i | ||||
\(506\) | 5.80781 | − | 5.38886i | 0.258189 | − | 0.239564i | ||||
\(507\) | 1.02447 | − | 0.154414i | 0.0454982 | − | 0.00685775i | ||||
\(508\) | −17.4926 | + | 30.2980i | −0.776108 | + | 1.34426i | ||||
\(509\) | 5.22294 | + | 9.04639i | 0.231503 | + | 0.400974i | 0.958251 | − | 0.285930i | \(-0.0923025\pi\) |
−0.726748 | + | 0.686904i | \(0.758969\pi\) | |||||||
\(510\) | 0.829737 | + | 1.04046i | 0.0367414 | + | 0.0460722i | ||||
\(511\) | −19.9472 | + | 6.02020i | −0.882411 | + | 0.266318i | ||||
\(512\) | 13.5047 | − | 16.9344i | 0.596831 | − | 0.748402i | ||||
\(513\) | −31.7404 | − | 4.78410i | −1.40137 | − | 0.211223i | ||||
\(514\) | 2.23271 | − | 1.52224i | 0.0984806 | − | 0.0671429i | ||||
\(515\) | 1.23608 | − | 0.842747i | 0.0544683 | − | 0.0371359i | ||||
\(516\) | −8.49589 | − | 1.28055i | −0.374011 | − | 0.0563731i | ||||
\(517\) | −16.6526 | + | 20.8817i | −0.732382 | + | 0.918378i | ||||
\(518\) | −13.6746 | + | 4.12709i | −0.600827 | + | 0.181334i | ||||
\(519\) | −1.43615 | − | 1.80087i | −0.0630400 | − | 0.0790496i | ||||
\(520\) | −1.46329 | − | 2.53450i | −0.0641696 | − | 0.111145i | ||||
\(521\) | −4.81852 | + | 8.34592i | −0.211103 | + | 0.365641i | −0.952060 | − | 0.305911i | \(-0.901039\pi\) |
0.740957 | + | 0.671553i | \(0.234372\pi\) | |||||||
\(522\) | −4.56213 | + | 0.687630i | −0.199679 | + | 0.0300968i | ||||
\(523\) | −9.33496 | + | 8.66157i | −0.408189 | + | 0.378744i | −0.857373 | − | 0.514695i | \(-0.827905\pi\) |
0.449184 | + | 0.893439i | \(0.351715\pi\) | |||||||
\(524\) | 3.88190 | + | 1.86942i | 0.169582 | + | 0.0816662i | ||||
\(525\) | 7.04811 | + | 3.44719i | 0.307605 | + | 0.150448i | ||||
\(526\) | 10.0412 | − | 4.83557i | 0.437815 | − | 0.210841i | ||||
\(527\) | −2.01683 | + | 5.13881i | −0.0878547 | + | 0.223850i | ||||
\(528\) | 0.535716 | − | 7.14863i | 0.0233140 | − | 0.311104i | ||||
\(529\) | 1.51238 | + | 0.466507i | 0.0657556 | + | 0.0202829i | ||||
\(530\) | 0.227012 | + | 3.02927i | 0.00986079 | + | 0.131583i | ||||
\(531\) | 6.47976 | − | 28.3897i | 0.281198 | − | 1.23201i | ||||
\(532\) | 23.5872 | − | 15.8721i | 1.02263 | − | 0.688142i | ||||
\(533\) | −1.53474 | − | 6.72415i | −0.0664772 | − | 0.291255i | ||||
\(534\) | 5.63530 | − | 1.73826i | 0.243863 | − | 0.0752219i | ||||
\(535\) | 8.91052 | + | 22.7036i | 0.385235 | + | 0.981563i | ||||
\(536\) | 18.7138 | + | 17.3639i | 0.808314 | + | 0.750006i | ||||
\(537\) | −15.3638 | − | 10.4749i | −0.662997 | − | 0.452024i | ||||
\(538\) | −4.17526 | −0.180008 | ||||||||
\(539\) | −13.1180 | + | 16.0449i | −0.565031 | + | 0.691101i | ||||
\(540\) | 12.7515 | 0.548737 | ||||||||
\(541\) | 6.71943 | + | 4.58123i | 0.288891 | + | 0.196963i | 0.699090 | − | 0.715033i | \(-0.253588\pi\) |
−0.410199 | + | 0.911996i | \(0.634541\pi\) | |||||||
\(542\) | −8.21886 | − | 7.62599i | −0.353030 | − | 0.327564i | ||||
\(543\) | −7.63687 | − | 19.4584i | −0.327729 | − | 0.835041i | ||||
\(544\) | 8.18902 | − | 2.52598i | 0.351102 | − | 0.108300i | ||||
\(545\) | −4.44407 | − | 19.4707i | −0.190363 | − | 0.834035i | ||||
\(546\) | 0.532106 | + | 1.38043i | 0.0227720 | + | 0.0590768i | ||||
\(547\) | −2.74014 | + | 12.0053i | −0.117160 | + | 0.513311i | 0.881958 | + | 0.471327i | \(0.156225\pi\) |
−0.999118 | + | 0.0419839i | \(0.986632\pi\) | |||||||
\(548\) | −1.47985 | − | 19.7472i | −0.0632160 | − | 0.843559i | ||||
\(549\) | 1.28595 | + | 0.396662i | 0.0548829 | + | 0.0169291i | ||||
\(550\) | 0.341805 | − | 4.56107i | 0.0145746 | − | 0.194485i | ||||
\(551\) | −10.1940 | + | 25.9738i | −0.434277 | + | 1.10652i | ||||
\(552\) | −9.26386 | + | 4.46124i | −0.394296 | + | 0.189883i | ||||
\(553\) | 3.22308 | + | 14.5282i | 0.137059 | + | 0.617802i | ||||
\(554\) | −2.39144 | − | 1.15165i | −0.101602 | − | 0.0489291i | ||||
\(555\) | −11.1072 | + | 10.3060i | −0.471476 | + | 0.437466i | ||||
\(556\) | −3.13597 | + | 0.472671i | −0.132995 | + | 0.0200457i | ||||
\(557\) | 20.0550 | − | 34.7363i | 0.849758 | − | 1.47182i | −0.0316659 | − | 0.999499i | \(-0.510081\pi\) |
0.881424 | − | 0.472326i | \(-0.156585\pi\) | |||||||
\(558\) | −1.76324 | − | 3.05403i | −0.0746441 | − | 0.129287i | ||||
\(559\) | 3.02604 | + | 3.79453i | 0.127988 | + | 0.160492i | ||||
\(560\) | −6.66440 | + | 6.10861i | −0.281622 | + | 0.258136i | ||||
\(561\) | 3.11311 | − | 3.90371i | 0.131435 | − | 0.164815i | ||||
\(562\) | −11.3357 | − | 1.70857i | −0.478166 | − | 0.0720719i | ||||
\(563\) | 10.2322 | − | 6.97622i | 0.431237 | − | 0.294013i | −0.328182 | − | 0.944615i | \(-0.606436\pi\) |
0.759419 | + | 0.650602i | \(0.225483\pi\) | |||||||
\(564\) | 13.1950 | − | 8.99617i | 0.555608 | − | 0.378807i | ||||
\(565\) | 0.378844 | + | 0.0571016i | 0.0159381 | + | 0.00240228i | ||||
\(566\) | −6.27375 | + | 7.86704i | −0.263706 | + | 0.330676i | ||||
\(567\) | 1.28531 | + | 0.201736i | 0.0539779 | + | 0.00847211i | ||||
\(568\) | 12.9677 | + | 16.2610i | 0.544115 | + | 0.682298i | ||||
\(569\) | −5.18985 | − | 8.98908i | −0.217570 | − | 0.376842i | 0.736495 | − | 0.676443i | \(-0.236480\pi\) |
−0.954064 | + | 0.299601i | \(0.903146\pi\) | |||||||
\(570\) | −2.57070 | + | 4.45258i | −0.107675 | + | 0.186498i | ||||
\(571\) | −16.4686 | + | 2.48224i | −0.689189 | + | 0.103879i | −0.484294 | − | 0.874905i | \(-0.660924\pi\) |
−0.204895 | + | 0.978784i | \(0.565685\pi\) | |||||||
\(572\) | −3.70846 | + | 3.44095i | −0.155059 | + | 0.143873i | ||||
\(573\) | 19.1235 | + | 9.20941i | 0.798897 | + | 0.384728i | ||||
\(574\) | 8.89931 | − | 4.21916i | 0.371450 | − | 0.176104i | ||||
\(575\) | 12.7863 | − | 6.15756i | 0.533226 | − | 0.256788i | ||||
\(576\) | 1.28996 | − | 3.28676i | 0.0537483 | − | 0.136948i | ||||
\(577\) | −2.83246 | + | 37.7965i | −0.117917 | + | 1.57349i | 0.553780 | + | 0.832663i | \(0.313185\pi\) |
−0.671697 | + | 0.740826i | \(0.734434\pi\) | |||||||
\(578\) | −7.40109 | − | 2.28293i | −0.307845 | − | 0.0949575i | ||||
\(579\) | −0.629685 | − | 8.40256i | −0.0261688 | − | 0.349198i | ||||
\(580\) | 2.46653 | − | 10.8066i | 0.102417 | − | 0.448718i | ||||
\(581\) | −23.1163 | − | 21.7120i | −0.959025 | − | 0.900768i | ||||
\(582\) | −1.82326 | − | 7.98824i | −0.0755767 | − | 0.331123i | ||||
\(583\) | 10.8911 | − | 3.35946i | 0.451063 | − | 0.139135i | ||||
\(584\) | −5.75907 | − | 14.6739i | −0.238312 | − | 0.607209i | ||||
\(585\) | −2.06491 | − | 1.91596i | −0.0853736 | − | 0.0792151i | ||||
\(586\) | −7.77504 | − | 5.30094i | −0.321184 | − | 0.218980i | ||||
\(587\) | 19.3774 | 0.799791 | 0.399896 | − | 0.916561i | \(-0.369046\pi\) | ||||
0.399896 | + | 0.916561i | \(0.369046\pi\) | |||||||
\(588\) | 10.3229 | − | 6.85551i | 0.425710 | − | 0.282717i | ||||
\(589\) | −21.3276 | −0.878788 | ||||||||
\(590\) | −9.85454 | − | 6.71871i | −0.405705 | − | 0.276605i | ||||
\(591\) | 7.64049 | + | 7.08934i | 0.314288 | + | 0.291616i | ||||
\(592\) | 8.54071 | + | 21.7614i | 0.351021 | + | 0.894387i | ||||
\(593\) | −18.2397 | + | 5.62620i | −0.749014 | + | 0.231040i | −0.645682 | − | 0.763606i | \(-0.723427\pi\) |
−0.103333 | + | 0.994647i | \(0.532951\pi\) | |||||||
\(594\) | 1.81493 | + | 7.95171i | 0.0744673 | + | 0.326263i | ||||
\(595\) | −6.23199 | + | 0.900569i | −0.255486 | + | 0.0369197i | ||||
\(596\) | −3.81639 | + | 16.7207i | −0.156325 | + | 0.684907i | ||||
\(597\) | 1.91400 | + | 25.5406i | 0.0783348 | + | 1.04531i | ||||
\(598\) | 2.55710 | + | 0.788762i | 0.104568 | + | 0.0322549i | ||||
\(599\) | 1.35319 | − | 18.0570i | 0.0552898 | − | 0.737791i | −0.898817 | − | 0.438324i | \(-0.855572\pi\) |
0.954107 | − | 0.299467i | \(-0.0968087\pi\) | |||||||
\(600\) | −2.16863 | + | 5.52559i | −0.0885341 | + | 0.225581i | ||||
\(601\) | −33.7644 | + | 16.2601i | −1.37728 | + | 0.663263i | −0.968418 | − | 0.249334i | \(-0.919788\pi\) |
−0.408861 | + | 0.912596i | \(0.634074\pi\) | |||||||
\(602\) | −4.35398 | + | 5.39207i | −0.177455 | + | 0.219765i | ||||
\(603\) | 22.1382 | + | 10.6612i | 0.901539 | + | 0.434158i | ||||
\(604\) | −5.03862 | + | 4.67516i | −0.205019 | + | 0.190230i | ||||
\(605\) | −3.23024 | + | 0.486880i | −0.131328 | + | 0.0197945i | ||||
\(606\) | 3.35267 | − | 5.80699i | 0.136193 | − | 0.235893i | ||||
\(607\) | 17.5564 | + | 30.4087i | 0.712594 | + | 1.23425i | 0.963880 | + | 0.266336i | \(0.0858132\pi\) |
−0.251286 | + | 0.967913i | \(0.580854\pi\) | |||||||
\(608\) | 20.6428 | + | 25.8852i | 0.837174 | + | 1.04978i | ||||
\(609\) | −4.51208 | + | 11.2940i | −0.182839 | + | 0.457657i | ||||
\(610\) | 0.343662 | − | 0.430938i | 0.0139145 | − | 0.0174482i | ||||
\(611\) | −8.92036 | − | 1.34453i | −0.360879 | − | 0.0543938i | ||||
\(612\) | 4.42755 | − | 3.01866i | 0.178973 | − | 0.122022i | ||||
\(613\) | −12.2350 | + | 8.34170i | −0.494168 | + | 0.336918i | −0.784626 | − | 0.619970i | \(-0.787145\pi\) |
0.290458 | + | 0.956888i | \(0.406192\pi\) | |||||||
\(614\) | 6.29422 | + | 0.948702i | 0.254014 | + | 0.0382865i | ||||
\(615\) | 6.51389 | − | 8.16816i | 0.262665 | − | 0.329372i | ||||
\(616\) | −12.9011 | − | 8.91128i | −0.519799 | − | 0.359046i | ||||
\(617\) | 8.83477 | + | 11.0785i | 0.355674 | + | 0.446002i | 0.927191 | − | 0.374589i | \(-0.122216\pi\) |
−0.571517 | + | 0.820591i | \(0.693645\pi\) | |||||||
\(618\) | −0.286080 | − | 0.495506i | −0.0115078 | − | 0.0199322i | ||||
\(619\) | 23.4325 | − | 40.5863i | 0.941831 | − | 1.63130i | 0.179856 | − | 0.983693i | \(-0.442437\pi\) |
0.761975 | − | 0.647606i | \(-0.224230\pi\) | |||||||
\(620\) | 8.37788 | − | 1.26276i | 0.336464 | − | 0.0507137i | ||||
\(621\) | −18.5513 | + | 17.2131i | −0.744439 | + | 0.690738i | ||||
\(622\) | −1.72044 | − | 0.828520i | −0.0689833 | − | 0.0332206i | ||||
\(623\) | −6.37452 | + | 27.1655i | −0.255390 | + | 1.08836i | ||||
\(624\) | 2.18150 | − | 1.05056i | 0.0873300 | − | 0.0420559i | ||||
\(625\) | −0.911658 | + | 2.32287i | −0.0364663 | + | 0.0929147i | ||||
\(626\) | 0.898400 | − | 11.9883i | 0.0359073 | − | 0.479149i | ||||
\(627\) | 18.4331 | + | 5.68586i | 0.736147 | + | 0.227071i | ||||
\(628\) | −0.601085 | − | 8.02093i | −0.0239859 | − | 0.320070i | ||||
\(629\) | −3.62320 | + | 15.8743i | −0.144466 | + | 0.632948i | ||||
\(630\) | 2.03236 | − | 3.47120i | 0.0809712 | − | 0.138296i | ||||
\(631\) | 0.834988 | + | 3.65832i | 0.0332404 | + | 0.145636i | 0.988825 | − | 0.149082i | \(-0.0476317\pi\) |
−0.955585 | + | 0.294717i | \(0.904775\pi\) | |||||||
\(632\) | −10.7585 | + | 3.31855i | −0.427949 | + | 0.132005i | ||||
\(633\) | 6.73522 | + | 17.1611i | 0.267701 | + | 0.682091i | ||||
\(634\) | −8.89591 | − | 8.25420i | −0.353302 | − | 0.327816i | ||||
\(635\) | 24.7339 | + | 16.8633i | 0.981536 | + | 0.669200i | ||||
\(636\) | −6.81486 | −0.270227 | ||||||||
\(637\) | −6.90861 | − | 1.12746i | −0.273729 | − | 0.0446717i | ||||
\(638\) | 7.08993 | 0.280693 | ||||||||
\(639\) | 16.5404 | + | 11.2771i | 0.654328 | + | 0.446114i | ||||
\(640\) | −12.3453 | − | 11.4547i | −0.487990 | − | 0.452788i | ||||
\(641\) | 10.1919 | + | 25.9687i | 0.402558 | + | 1.02570i | 0.978138 | + | 0.207955i | \(0.0666808\pi\) |
−0.575581 | + | 0.817745i | \(0.695224\pi\) | |||||||
\(642\) | 8.91341 | − | 2.74942i | 0.351784 | − | 0.108511i | ||||
\(643\) | 2.17689 | + | 9.53760i | 0.0858483 | + | 0.376126i | 0.999541 | − | 0.0302786i | \(-0.00963945\pi\) |
−0.913693 | + | 0.406405i | \(0.866782\pi\) | |||||||
\(644\) | 1.81103 | − | 22.3413i | 0.0713647 | − | 0.880369i | ||||
\(645\) | −1.63592 | + | 7.16743i | −0.0644142 | + | 0.282217i | ||||
\(646\) | 0.412882 | + | 5.50953i | 0.0162446 | + | 0.216769i | ||||
\(647\) | −16.0029 | − | 4.93623i | −0.629137 | − | 0.194063i | −0.0362423 | − | 0.999343i | \(-0.511539\pi\) |
−0.592895 | + | 0.805280i | \(0.702015\pi\) | |||||||
\(648\) | −0.0735580 | + | 0.981563i | −0.00288963 | + | 0.0385594i | ||||
\(649\) | −16.3487 | + | 41.6558i | −0.641742 | + | 1.63513i | ||||
\(650\) | 1.39187 | − | 0.670291i | 0.0545938 | − | 0.0262910i | ||||
\(651\) | −9.29594 | − | 0.0565715i | −0.364337 | − | 0.00221721i | ||||
\(652\) | 21.5337 | + | 10.3701i | 0.843323 | + | 0.406123i | ||||
\(653\) | −8.46948 | + | 7.85853i | −0.331436 | + | 0.307528i | −0.828283 | − | 0.560311i | \(-0.810682\pi\) |
0.496846 | + | 0.867839i | \(0.334491\pi\) | |||||||
\(654\) | −7.55280 | + | 1.13840i | −0.295338 | + | 0.0445150i | ||||
\(655\) | 1.84335 | − | 3.19278i | 0.0720257 | − | 0.124752i | ||||
\(656\) | −8.05944 | − | 13.9594i | −0.314668 | − | 0.545022i | ||||
\(657\) | −9.45994 | − | 11.8624i | −0.369067 | − | 0.462796i | ||||
\(658\) | −0.884472 | − | 12.8515i | −0.0344803 | − | 0.501002i | ||||
\(659\) | 13.0750 | − | 16.3955i | 0.509329 | − | 0.638679i | −0.458976 | − | 0.888449i | \(-0.651784\pi\) |
0.968305 | + | 0.249770i | \(0.0803550\pi\) | |||||||
\(660\) | −7.57752 | − | 1.14213i | −0.294955 | − | 0.0444572i | ||||
\(661\) | 17.7349 | − | 12.0914i | 0.689807 | − | 0.470302i | −0.166989 | − | 0.985959i | \(-0.553404\pi\) |
0.856795 | + | 0.515657i | \(0.172452\pi\) | |||||||
\(662\) | −16.1025 | + | 10.9785i | −0.625842 | + | 0.426692i | ||||
\(663\) | 1.66761 | + | 0.251351i | 0.0647645 | + | 0.00976167i | ||||
\(664\) | 14.9597 | − | 18.7588i | 0.580548 | − | 0.727984i | ||||
\(665\) | −12.0349 | − | 21.1412i | −0.466695 | − | 0.819821i | ||||
\(666\) | −6.48517 | − | 8.13215i | −0.251295 | − | 0.315114i | ||||
\(667\) | 10.9993 | + | 19.0513i | 0.425893 | + | 0.737669i | ||||
\(668\) | 1.11401 | − | 1.92952i | 0.0431022 | − | 0.0746553i | ||||
\(669\) | 29.7275 | − | 4.48071i | 1.14933 | − | 0.173234i | ||||
\(670\) | 7.37753 | − | 6.84534i | 0.285019 | − | 0.264459i | ||||
\(671\) | −1.86323 | − | 0.897282i | −0.0719290 | − | 0.0346392i | ||||
\(672\) | 8.92879 | + | 11.3372i | 0.344435 | + | 0.437342i | ||||
\(673\) | −13.7374 | + | 6.61559i | −0.529538 | + | 0.255012i | −0.679495 | − | 0.733680i | \(-0.737801\pi\) |
0.149956 | + | 0.988693i | \(0.452087\pi\) | |||||||
\(674\) | 3.17670 | − | 8.09409i | 0.122362 | − | 0.311773i | ||||
\(675\) | −1.09180 | + | 14.5690i | −0.0420232 | + | 0.560761i | ||||
\(676\) | −1.63279 | − | 0.503648i | −0.0627995 | − | 0.0193711i | ||||
\(677\) | 2.08561 | + | 27.8305i | 0.0801563 | + | 1.06961i | 0.881742 | + | 0.471732i | \(0.156371\pi\) |
−0.801586 | + | 0.597880i | \(0.796010\pi\) | |||||||
\(678\) | 0.0326051 | − | 0.142852i | 0.00125219 | − | 0.00548621i | ||||
\(679\) | 36.9761 | + | 11.6525i | 1.41901 | + | 0.447183i | ||||
\(680\) | −1.06005 | − | 4.64440i | −0.0406512 | − | 0.178104i | ||||
\(681\) | 12.1123 | − | 3.73614i | 0.464143 | − | 0.143169i | ||||
\(682\) | 1.97987 | + | 5.04463i | 0.0758133 | + | 0.193169i | ||||
\(683\) | 12.4642 | + | 11.5651i | 0.476931 | + | 0.442527i | 0.881643 | − | 0.471917i | \(-0.156438\pi\) |
−0.404712 | + | 0.914444i | \(0.632628\pi\) | |||||||
\(684\) | 17.1054 | + | 11.6623i | 0.654042 | + | 0.445918i | ||||
\(685\) | −16.9444 | −0.647411 | ||||||||
\(686\) | −0.564892 | − | 9.97980i | −0.0215677 | − | 0.381031i | ||||
\(687\) | 10.1459 | 0.387089 | ||||||||
\(688\) | 9.37174 | + | 6.38955i | 0.357294 | + | 0.243599i | ||||
\(689\) | 2.82195 | + | 2.61839i | 0.107508 | + | 0.0997526i | ||||
\(690\) | 1.48091 | + | 3.77330i | 0.0563773 | + | 0.143647i | ||||
\(691\) | 12.8134 | − | 3.95240i | 0.487443 | − | 0.150356i | −0.0412851 | − | 0.999147i | \(-0.513145\pi\) |
0.528728 | + | 0.848791i | \(0.322669\pi\) | |||||||
\(692\) | 0.845339 | + | 3.70367i | 0.0321350 | + | 0.140793i | ||||
\(693\) | −14.3939 | − | 4.53604i | −0.546779 | − | 0.172310i | ||||
\(694\) | −0.922718 | + | 4.04269i | −0.0350259 | + | 0.153459i | ||||
\(695\) | 0.202791 | + | 2.70606i | 0.00769231 | + | 0.102647i | ||||
\(696\) | −8.79246 | − | 2.71211i | −0.333277 | − | 0.102802i | ||||
\(697\) | 0.838989 | − | 11.1955i | 0.0317790 | − | 0.424061i | ||||
\(698\) | −1.67028 | + | 4.25582i | −0.0632212 | + | 0.161085i | ||||
\(699\) | 23.2041 | − | 11.1745i | 0.877659 | − | 0.422658i | ||||
\(700\) | −8.00627 | − | 10.1658i | −0.302608 | − | 0.384233i | ||||
\(701\) | 8.66771 | + | 4.17415i | 0.327375 | + | 0.157655i | 0.590350 | − | 0.807147i | \(-0.298990\pi\) |
−0.262976 | + | 0.964802i | \(0.584704\pi\) | |||||||
\(702\) | −2.01943 | + | 1.87376i | −0.0762186 | + | 0.0707206i | ||||
\(703\) | −62.2032 | + | 9.37563i | −2.34604 | + | 0.353609i | ||||
\(704\) | −2.71296 | + | 4.69899i | −0.102249 | + | 0.177100i | ||||
\(705\) | −6.83244 | − | 11.8341i | −0.257325 | − | 0.445700i | ||||
\(706\) | 1.43782 | + | 1.80297i | 0.0541130 | + | 0.0678556i | ||||
\(707\) | 15.6958 | + | 27.5721i | 0.590301 | + | 1.03695i | ||||
\(708\) | 16.6826 | − | 20.9193i | 0.626969 | − | 0.786194i | ||||
\(709\) | −20.1915 | − | 3.04338i | −0.758309 | − | 0.114297i | −0.241504 | − | 0.970400i | \(-0.577641\pi\) |
−0.516805 | + | 0.856103i | \(0.672879\pi\) | |||||||
\(710\) | 6.77468 | − | 4.61890i | 0.254249 | − | 0.173344i | ||||
\(711\) | −8.95361 | + | 6.10447i | −0.335787 | + | 0.228935i | ||||
\(712\) | −20.8747 | − | 3.14636i | −0.782314 | − | 0.117915i | ||||
\(713\) | −10.4838 | + | 13.1463i | −0.392623 | + | 0.492333i | ||||
\(714\) | 0.165347 | + | 2.40250i | 0.00618794 | + | 0.0899114i | ||||
\(715\) | 2.69893 | + | 3.38436i | 0.100934 | + | 0.126568i | ||||
\(716\) | 15.3339 | + | 26.5591i | 0.573056 | + | 0.992562i | ||||
\(717\) | 5.28857 | − | 9.16008i | 0.197505 | − | 0.342089i | ||||
\(718\) | −2.84265 | + | 0.428460i | −0.106087 | + | 0.0159900i | ||||
\(719\) | 6.48890 | − | 6.02082i | 0.241995 | − | 0.224539i | −0.549846 | − | 0.835266i | \(-0.685313\pi\) |
0.791841 | + | 0.610728i | \(0.209123\pi\) | |||||||
\(720\) | −5.93125 | − | 2.85634i | −0.221045 | − | 0.106450i | ||||
\(721\) | 2.70716 | + | 0.0164747i | 0.100820 | + | 0.000613550i | ||||
\(722\) | −9.99220 | + | 4.81199i | −0.371871 | + | 0.179084i | ||||
\(723\) | −0.847061 | + | 2.15828i | −0.0315025 | + | 0.0802671i | ||||
\(724\) | −2.57634 | + | 34.3788i | −0.0957488 | + | 1.27768i | ||||
\(725\) | 12.1357 | + | 3.74336i | 0.450707 | + | 0.139025i | ||||
\(726\) | 0.0933649 | + | 1.24587i | 0.00346510 | + | 0.0462385i | ||||
\(727\) | −0.511582 | + | 2.24139i | −0.0189735 | + | 0.0831284i | −0.983528 | − | 0.180754i | \(-0.942146\pi\) |
0.964555 | + | 0.263883i | \(0.0850032\pi\) | |||||||
\(728\) | 0.427895 | − | 5.27859i | 0.0158588 | − | 0.195638i | ||||
\(729\) | −3.31933 | − | 14.5430i | −0.122938 | − | 0.538628i | ||||
\(730\) | −5.93834 | + | 1.83174i | −0.219788 | + | 0.0677956i | ||||
\(731\) | 2.88628 | + | 7.35413i | 0.106753 | + | 0.272002i | ||||
\(732\) | 0.906441 | + | 0.841054i | 0.0335030 | + | 0.0310863i | ||||
\(733\) | −18.5889 | − | 12.6737i | −0.686598 | − | 0.468114i | 0.169094 | − | 0.985600i | \(-0.445916\pi\) |
−0.855692 | + | 0.517485i | \(0.826868\pi\) | |||||||
\(734\) | 3.62705 | 0.133877 | ||||||||
\(735\) | −5.18953 | − | 9.24663i | −0.191419 | − | 0.341067i | ||||
\(736\) | 26.1028 | 0.962163 | ||||||||
\(737\) | −31.1986 | − | 21.2709i | −1.14922 | − | 0.783522i | ||||
\(738\) | 5.25734 | + | 4.87810i | 0.193525 | + | 0.179565i | ||||
\(739\) | −5.08115 | − | 12.9466i | −0.186913 | − | 0.476247i | 0.806445 | − | 0.591309i | \(-0.201389\pi\) |
−0.993358 | + | 0.115062i | \(0.963293\pi\) | |||||||
\(740\) | 23.8795 | − | 7.36585i | 0.877828 | − | 0.270774i | ||||
\(741\) | 1.44981 | + | 6.35205i | 0.0532603 | + | 0.233348i | ||||
\(742\) | −2.77747 | + | 4.74381i | −0.101964 | + | 0.174151i | ||||
\(743\) | 11.1044 | − | 48.6514i | 0.407380 | − | 1.78485i | −0.188821 | − | 0.982012i | \(-0.560467\pi\) |
0.596201 | − | 0.802835i | \(-0.296676\pi\) | |||||||
\(744\) | −0.525580 | − | 7.01338i | −0.0192687 | − | 0.257123i | ||||
\(745\) | 14.0233 | + | 4.32561i | 0.513773 | + | 0.158478i | ||||
\(746\) | 1.08208 | − | 14.4393i | 0.0396177 | − | 0.528662i | ||||
\(747\) | 8.43717 | − | 21.4976i | 0.308700 | − | 0.786554i | ||||
\(748\) | −7.41933 | + | 3.57296i | −0.271277 | + | 0.130640i | ||||
\(749\) | −10.0826 | + | 42.9679i | −0.368412 | + | 1.57001i | ||||
\(750\) | 5.79131 | + | 2.78895i | 0.211469 | + | 0.101838i | ||||
\(751\) | 28.0850 | − | 26.0590i | 1.02483 | − | 0.950908i | 0.0260238 | − | 0.999661i | \(-0.491715\pi\) |
0.998811 | + | 0.0487538i | \(0.0155250\pi\) | |||||||
\(752\) | −20.8474 | + | 3.14224i | −0.760227 | + | 0.114586i | ||||
\(753\) | −0.673972 | + | 1.16735i | −0.0245609 | + | 0.0425407i | ||||
\(754\) | 1.19734 | + | 2.07386i | 0.0436047 | + | 0.0755255i | ||||
\(755\) | 3.66700 | + | 4.59827i | 0.133456 | + | 0.167348i | ||||
\(756\) | 18.9859 | + | 13.1144i | 0.690512 | + | 0.476964i | ||||
\(757\) | 12.2331 | − | 15.3399i | 0.444621 | − | 0.557537i | −0.508134 | − | 0.861278i | \(-0.669664\pi\) |
0.952754 | + | 0.303741i | \(0.0982359\pi\) | |||||||
\(758\) | 12.4432 | + | 1.87551i | 0.451957 | + | 0.0681216i | ||||
\(759\) | 12.5658 | − | 8.56721i | 0.456109 | − | 0.310970i | ||||
\(760\) | 15.2066 | − | 10.3677i | 0.551601 | − | 0.376076i | ||||
\(761\) | 49.5346 | + | 7.46615i | 1.79563 | + | 0.270648i | 0.960273 | − | 0.279062i | \(-0.0900234\pi\) |
0.835356 | + | 0.549709i | \(0.185261\pi\) | |||||||
\(762\) | 7.13827 | − | 8.95110i | 0.258592 | − | 0.324264i | ||||
\(763\) | 13.4079 | − | 33.5609i | 0.485400 | − | 1.21499i | ||||
\(764\) | −21.8262 | − | 27.3692i | −0.789643 | − | 0.990181i | ||||
\(765\) | −2.29262 | − | 3.97093i | −0.0828899 | − | 0.143569i | ||||
\(766\) | 9.29524 | − | 16.0998i | 0.335851 | − | 0.581710i | ||||
\(767\) | −14.9456 | + | 2.25269i | −0.539654 | + | 0.0813398i | ||||
\(768\) | −1.93777 | + | 1.79799i | −0.0699232 | + | 0.0648793i | ||||
\(769\) | 24.5061 | + | 11.8015i | 0.883711 | + | 0.425573i | 0.819979 | − | 0.572394i | \(-0.193985\pi\) |
0.0637324 | + | 0.997967i | \(0.479700\pi\) | |||||||
\(770\) | −3.88333 | + | 4.80921i | −0.139946 | + | 0.173312i | ||||
\(771\) | 4.67351 | − | 2.25064i | 0.168312 | − | 0.0810549i | ||||
\(772\) | −5.07710 | + | 12.9362i | −0.182729 | + | 0.465586i | ||||
\(773\) | 0.535407 | − | 7.14451i | 0.0192573 | − | 0.256970i | −0.979263 | − | 0.202592i | \(-0.935063\pi\) |
0.998520 | − | 0.0543779i | \(-0.0173176\pi\) | |||||||
\(774\) | −4.82253 | − | 1.48755i | −0.173342 | − | 0.0534690i | ||||
\(775\) | 0.725424 | + | 9.68012i | 0.0260580 | + | 0.347720i | ||||
\(776\) | −6.52672 | + | 28.5954i | −0.234296 | + | 1.02652i | ||||
\(777\) | −27.1371 | + | 3.92151i | −0.973537 | + | 0.140683i | ||||
\(778\) | −1.65771 | − | 7.26291i | −0.0594318 | − | 0.260388i | ||||
\(779\) | 41.4471 | − | 12.7847i | 1.48500 | − | 0.458061i | ||||
\(780\) | −0.945606 | − | 2.40937i | −0.0338581 | − | 0.0862691i | ||||
\(781\) | −22.5513 | − | 20.9246i | −0.806949 | − | 0.748739i | ||||
\(782\) | 3.59903 | + | 2.45378i | 0.128701 | + | 0.0877469i | ||||
\(783\) | −22.6467 | −0.809326 | ||||||||
\(784\) | −16.2052 | + | 2.24118i | −0.578756 | + | 0.0800422i | ||||
\(785\) | −6.88247 | −0.245646 | ||||||||
\(786\) | −1.16498 | − | 0.794272i | −0.0415536 | − | 0.0283308i | ||||
\(787\) | −10.3703 | − | 9.62227i | −0.369663 | − | 0.342997i | 0.473366 | − | 0.880866i | \(-0.343039\pi\) |
−0.843028 | + | 0.537869i | \(0.819229\pi\) | |||||||
\(788\) | −6.28022 | − | 16.0017i | −0.223724 | − | 0.570039i | ||||
\(789\) | 20.4430 | − | 6.30583i | 0.727790 | − | 0.224493i | ||||
\(790\) | 0.987657 | + | 4.32721i | 0.0351393 | + | 0.153955i | ||||
\(791\) | 0.505342 | + | 0.474644i | 0.0179679 | + | 0.0168764i | ||||
\(792\) | 2.54069 | − | 11.1315i | 0.0902796 | − | 0.395541i | ||||
\(793\) | −0.0521985 | − | 0.696541i | −0.00185362 | − | 0.0247349i | ||||
\(794\) | −14.2784 | − | 4.40430i | −0.506721 | − | 0.156303i | ||||
\(795\) | −0.435769 | + | 5.81493i | −0.0154551 | + | 0.206234i | ||||
\(796\) | 15.4324 | − | 39.3212i | 0.546989 | − | 1.39370i | ||||
\(797\) | −34.3493 | + | 16.5418i | −1.21671 | + | 0.585939i | −0.928395 | − | 0.371595i | \(-0.878811\pi\) |
−0.288320 | + | 0.957534i | \(0.593097\pi\) | |||||||
\(798\) | −8.40684 | + | 3.98568i | −0.297599 | + | 0.141092i | ||||
\(799\) | −13.2302 | − | 6.37131i | −0.468050 | − | 0.225401i | ||||
\(800\) | 11.0466 | − | 10.2497i | 0.390556 | − | 0.362383i | ||||
\(801\) | −20.0921 | + | 3.02840i | −0.709921 | + | 0.107003i | ||||
\(802\) | 3.86460 | − | 6.69369i | 0.136464 | − | 0.236362i | ||||
\(803\) | 11.6580 | + | 20.1923i | 0.411403 | + | 0.712571i | ||||
\(804\) | 14.0769 | + | 17.6519i | 0.496455 | + | 0.622535i | ||||
\(805\) | −18.9474 | − | 2.97389i | −0.667807 | − | 0.104816i | ||||
\(806\) | −1.14124 | + | 1.43106i | −0.0401983 | + | 0.0504071i | ||||
\(807\) | −7.92524 | − | 1.19454i | −0.278982 | − | 0.0420497i | ||||
\(808\) | −19.8322 | + | 13.5214i | −0.697696 | + | 0.475681i | ||||
\(809\) | 17.8234 | − | 12.1518i | 0.626637 | − | 0.427234i | −0.207927 | − | 0.978144i | \(-0.566672\pi\) |
0.834564 | + | 0.550910i | \(0.185719\pi\) | |||||||
\(810\) | 0.383711 | + | 0.0578351i | 0.0134822 | + | 0.00203212i | ||||
\(811\) | 12.2367 | − | 15.3443i | 0.429687 | − | 0.538810i | −0.519106 | − | 0.854710i | \(-0.673735\pi\) |
0.948793 | + | 0.315900i | \(0.102306\pi\) | |||||||
\(812\) | 14.7865 | − | 13.5534i | 0.518905 | − | 0.475630i | ||||
\(813\) | −13.4188 | − | 16.8266i | −0.470617 | − | 0.590135i | ||||
\(814\) | 7.99205 | + | 13.8426i | 0.280121 | + | 0.485184i | ||||
\(815\) | 10.2254 | − | 17.7110i | 0.358181 | − | 0.620388i | ||||
\(816\) | 3.89730 | − | 0.587423i | 0.136433 | − | 0.0205639i | ||||
\(817\) | −22.3741 | + | 20.7601i | −0.782770 | + | 0.726304i | ||||
\(818\) | −3.02244 | − | 1.45553i | −0.105677 | − | 0.0508915i | ||||
\(819\) | −1.10401 | − | 4.97638i | −0.0385771 | − | 0.173889i | ||||
\(820\) | −15.5243 | + | 7.47609i | −0.542131 | + | 0.261076i | ||||
\(821\) | −6.64848 | + | 16.9401i | −0.232034 | + | 0.591212i | −0.998708 | − | 0.0508246i | \(-0.983815\pi\) |
0.766674 | + | 0.642037i | \(0.221910\pi\) | |||||||
\(822\) | −0.484281 | + | 6.46227i | −0.0168912 | + | 0.225398i | ||||
\(823\) | −20.0121 | − | 6.17293i | −0.697579 | − | 0.215175i | −0.0743710 | − | 0.997231i | \(-0.523695\pi\) |
−0.623208 | + | 0.782056i | \(0.714171\pi\) | |||||||
\(824\) | 0.153059 | + | 2.04243i | 0.00533207 | + | 0.0711515i | ||||
\(825\) | 1.95371 | − | 8.55977i | 0.0680195 | − | 0.298013i | ||||
\(826\) | −7.76271 | − | 20.1386i | −0.270099 | − | 0.700710i | ||||
\(827\) | 12.0695 | + | 52.8801i | 0.419699 | + | 1.83882i | 0.534148 | + | 0.845391i | \(0.320633\pi\) |
−0.114449 | + | 0.993429i | \(0.536510\pi\) | |||||||
\(828\) | 15.5970 | − | 4.81104i | 0.542034 | − | 0.167195i | ||||
\(829\) | −0.355026 | − | 0.904590i | −0.0123305 | − | 0.0314177i | 0.924576 | − | 0.380998i | \(-0.124419\pi\) |
−0.936906 | + | 0.349580i | \(0.886324\pi\) | |||||||
\(830\) | −6.93387 | − | 6.43369i | −0.240678 | − | 0.223317i | ||||
\(831\) | −4.20980 | − | 2.87019i | −0.146036 | − | 0.0995658i | ||||
\(832\) | −1.83265 | −0.0635358 | ||||||||
\(833\) | −10.2051 | − | 5.06845i | −0.353586 | − | 0.175611i | ||||
\(834\) | 1.03784 | 0.0359374 | ||||||||
\(835\) | −1.57517 | − | 1.07393i | −0.0545110 | − | 0.0371650i | ||||
\(836\) | −23.3217 | − | 21.6393i | −0.806596 | − | 0.748412i | ||||
\(837\) | −6.32412 | − | 16.1136i | −0.218594 | − | 0.556967i | ||||
\(838\) | −14.2974 | + | 4.41017i | −0.493896 | + | 0.152347i | ||||
\(839\) | 8.34148 | + | 36.5464i | 0.287980 | + | 1.26172i | 0.887292 | + | 0.461207i | \(0.152584\pi\) |
−0.599312 | + | 0.800515i | \(0.704559\pi\) | |||||||
\(840\) | 6.65552 | − | 4.47857i | 0.229637 | − | 0.154525i | ||||
\(841\) | 2.07255 | − | 9.08044i | 0.0714673 | − | 0.313119i | ||||
\(842\) | −0.496309 | − | 6.62278i | −0.0171039 | − | 0.228236i | ||||
\(843\) | −21.0278 | − | 6.48623i | −0.724237 | − | 0.223398i | ||||
\(844\) | 2.27216 | − | 30.3199i | 0.0782110 | − | 1.04365i | ||||
\(845\) | −0.534156 | + | 1.36101i | −0.0183755 | + | 0.0468201i | ||||
\(846\) | 8.45155 | − | 4.07005i | 0.290570 | − | 0.139931i | ||||
\(847\) | −5.31029 | − | 2.59723i | −0.182464 | − | 0.0892419i | ||||
\(848\) | 8.10577 | + | 3.90353i | 0.278353 | + | 0.134048i | ||||
\(849\) | −14.1592 | + | 13.1378i | −0.485943 | + | 0.450889i | ||||
\(850\) | 2.48661 | − | 0.374796i | 0.0852900 | − | 0.0128554i | ||||
\(851\) | −24.7976 | + | 42.9508i | −0.850052 | + | 1.47233i | ||||
\(852\) | 9.19721 | + | 15.9300i | 0.315091 | + | 0.545754i | ||||
\(853\) | −18.1394 | − | 22.7461i | −0.621081 | − | 0.778810i | 0.367416 | − | 0.930057i | \(-0.380243\pi\) |
−0.988496 | + | 0.151247i | \(0.951671\pi\) | |||||||
\(854\) | 0.954886 | − | 0.288191i | 0.0326755 | − | 0.00986170i | ||||
\(855\) | 11.0449 | − | 13.8499i | 0.377727 | − | 0.473655i | ||||
\(856\) | −33.0178 | − | 4.97663i | −1.12853 | − | 0.170098i | ||||
\(857\) | 25.9261 | − | 17.6761i | 0.885619 | − | 0.603805i | −0.0327788 | − | 0.999463i | \(-0.510436\pi\) |
0.918398 | + | 0.395658i | \(0.129483\pi\) | |||||||
\(858\) | 1.36787 | − | 0.932597i | 0.0466983 | − | 0.0318383i | ||||
\(859\) | −0.465361 | − | 0.0701419i | −0.0158779 | − | 0.00239321i | 0.141099 | − | 0.989996i | \(-0.454937\pi\) |
−0.156976 | + | 0.987602i | \(0.550175\pi\) | |||||||
\(860\) | 7.55980 | − | 9.47968i | 0.257787 | − | 0.323255i | ||||
\(861\) | 18.0992 | − | 5.46248i | 0.616821 | − | 0.186161i | ||||
\(862\) | 10.6327 | + | 13.3330i | 0.362151 | + | 0.454123i | ||||
\(863\) | 4.78272 | + | 8.28392i | 0.162806 | + | 0.281988i | 0.935874 | − | 0.352335i | \(-0.114612\pi\) |
−0.773068 | + | 0.634323i | \(0.781279\pi\) | |||||||
\(864\) | −13.4359 | + | 23.2717i | −0.457100 | + | 0.791721i | ||||
\(865\) | 3.21430 | − | 0.484477i | 0.109289 | − | 0.0164727i | ||||
\(866\) | 1.95995 | − | 1.81857i | 0.0666018 | − | 0.0617974i | ||||
\(867\) | −13.3952 | − | 6.45077i | −0.454923 | − | 0.219080i | ||||
\(868\) | 13.7727 | + | 6.73613i | 0.467475 | + | 0.228639i | ||||
\(869\) | 15.0037 | − | 7.22541i | 0.508966 | − | 0.245105i | ||||
\(870\) | −1.32524 | + | 3.37665i | −0.0449297 | + | 0.114479i | ||||
\(871\) | 0.953086 | − | 12.7181i | 0.0322941 | − | 0.430935i | ||||
\(872\) | 26.1273 | + | 8.05922i | 0.884784 | + | 0.272920i | ||||
\(873\) | 2.10972 | + | 28.1523i | 0.0714033 | + | 0.952810i | ||||
\(874\) | −3.74473 | + | 16.4067i | −0.126667 | + | 0.554966i | ||||
\(875\) | −25.2328 | + | 16.9795i | −0.853026 | + | 0.574010i | ||||
\(876\) | −3.10224 | − | 13.5918i | −0.104815 | − | 0.459224i | ||||
\(877\) | 9.99552 | − | 3.08321i | 0.337525 | − | 0.104113i | −0.121360 | − | 0.992609i | \(-0.538725\pi\) |
0.458884 | + | 0.888496i | \(0.348249\pi\) | |||||||
\(878\) | 4.06643 | + | 10.3611i | 0.137236 | + | 0.349670i | ||||
\(879\) | −13.2415 | − | 12.2864i | −0.446626 | − | 0.414408i | ||||
\(880\) | 8.35869 | + | 5.69886i | 0.281772 | + | 0.192109i | ||||
\(881\) | −9.81474 | −0.330667 | −0.165333 | − | 0.986238i | \(-0.552870\pi\) | ||||
−0.165333 | + | 0.986238i | \(0.552870\pi\) | |||||||
\(882\) | 6.59600 | − | 3.07814i | 0.222099 | − | 0.103646i | ||||
\(883\) | 6.57910 | 0.221404 | 0.110702 | − | 0.993854i | \(-0.464690\pi\) | ||||
0.110702 | + | 0.993854i | \(0.464690\pi\) | |||||||
\(884\) | −2.29809 | − | 1.56681i | −0.0772931 | − | 0.0526976i | ||||
\(885\) | −16.7831 | − | 15.5724i | −0.564157 | − | 0.523461i | ||||
\(886\) | 2.99346 | + | 7.62721i | 0.100567 | + | 0.256241i | ||||
\(887\) | −10.2232 | + | 3.15345i | −0.343262 | + | 0.105882i | −0.461593 | − | 0.887092i | \(-0.652722\pi\) |
0.118331 | + | 0.992974i | \(0.462246\pi\) | |||||||
\(888\) | −4.61598 | − | 20.2239i | −0.154902 | − | 0.678671i | ||||
\(889\) | 19.4837 | + | 50.5459i | 0.653461 | + | 1.69525i | ||||
\(890\) | −1.85190 | + | 8.11371i | −0.0620759 | + | 0.271972i | ||||
\(891\) | −0.108801 | − | 1.45184i | −0.00364496 | − | 0.0486386i | ||||
\(892\) | −47.3795 | − | 14.6146i | −1.58638 | − | 0.489335i | ||||
\(893\) | 4.23956 | − | 56.5730i | 0.141872 | − | 1.89314i | ||||
\(894\) | 2.05050 | − | 5.22459i | 0.0685790 | − | 0.174737i | ||||
\(895\) | 23.6427 | − | 11.3857i | 0.790288 | − | 0.380583i | ||||
\(896\) | −6.60042 | − | 29.7517i | −0.220504 | − | 0.993936i | ||||
\(897\) | 4.62808 | + | 2.22876i | 0.154527 | + | 0.0744163i | ||||
\(898\) | −3.38787 | + | 3.14349i | −0.113055 | + | 0.104900i | ||||
\(899\) | −14.8791 | + | 2.24267i | −0.496247 | + | 0.0747971i | ||||
\(900\) | 4.71144 | − | 8.16045i | 0.157048 | − | 0.272015i | ||||
\(901\) | 3.13314 | + | 5.42676i | 0.104380 | + | 0.180792i | ||||
\(902\) | −6.87159 | − | 8.61670i | −0.228799 | − | 0.286905i | ||||
\(903\) | −9.80713 | + | 8.98925i | −0.326361 | + | 0.299143i | ||||
\(904\) | −0.327032 | + | 0.410085i | −0.0108769 | + | 0.0136392i | ||||
\(905\) | 29.1697 | + | 4.39663i | 0.969635 | + | 0.146149i | ||||
\(906\) | 1.85850 | − | 1.26710i | 0.0617445 | − | 0.0420967i | ||||
\(907\) | 26.6305 | − | 18.1564i | 0.884252 | − | 0.602873i | −0.0337577 | − | 0.999430i | \(-0.510747\pi\) |
0.918010 | + | 0.396557i | \(0.129795\pi\) | |||||||
\(908\) | −20.6716 | − | 3.11574i | −0.686010 | − | 0.103399i | ||||
\(909\) | −14.4046 | + | 18.0628i | −0.477770 | + | 0.599105i | ||||
\(910\) | −2.06255 | − | 0.323728i | −0.0683728 | − | 0.0107315i | ||||
\(911\) | 11.3752 | + | 14.2640i | 0.376877 | + | 0.472589i | 0.933707 | − | 0.358038i | \(-0.116554\pi\) |
−0.556830 | + | 0.830626i | \(0.687983\pi\) | |||||||
\(912\) | 7.61345 | + | 13.1869i | 0.252106 | + | 0.436661i | ||||
\(913\) | −17.7445 | + | 30.7344i | −0.587258 | + | 1.01716i | ||||
\(914\) | 2.92384 | − | 0.440698i | 0.0967119 | − | 0.0145770i | ||||
\(915\) | 0.775610 | − | 0.719661i | 0.0256409 | − | 0.0237912i | ||||
\(916\) | −15.0761 | − | 7.26027i | −0.498128 | − | 0.239886i | ||||
\(917\) | 6.02824 | − | 2.85798i | 0.199070 | − | 0.0943790i | ||||
\(918\) | −4.04018 | + | 1.94565i | −0.133346 | + | 0.0642159i | ||||
\(919\) | 17.0949 | − | 43.5570i | 0.563908 | − | 1.43681i | −0.310006 | − | 0.950734i | \(-0.600331\pi\) |
0.873914 | − | 0.486080i | \(-0.161574\pi\) | |||||||
\(920\) | 1.08436 | − | 14.4697i | 0.0357501 | − | 0.477052i | ||||
\(921\) | 11.6759 | + | 3.60154i | 0.384734 | + | 0.118675i | ||||
\(922\) | −0.0331328 | − | 0.442126i | −0.00109117 | − | 0.0145606i | ||||
\(923\) | 2.31214 | − | 10.1302i | 0.0761051 | − | 0.333438i | ||||
\(924\) | −10.1077 | − | 9.49368i | −0.332518 | − | 0.312319i | ||||
\(925\) | 6.37114 | + | 27.9138i | 0.209482 | + | 0.917799i | ||||
\(926\) | −8.81906 | + | 2.72032i | −0.289812 | + | 0.0893952i | ||||
\(927\) | 0.720224 | + | 1.83510i | 0.0236553 | + | 0.0602726i | ||||
\(928\) | 17.1233 | + | 15.8881i | 0.562099 | + | 0.521552i | ||||
\(929\) | 18.2693 | + | 12.4558i | 0.599396 | + | 0.408662i | 0.824654 | − | 0.565638i | \(-0.191370\pi\) |
−0.225257 | + | 0.974299i | \(0.572322\pi\) | |||||||
\(930\) | −2.77263 | −0.0909181 | ||||||||
\(931\) | 3.82375 | − | 43.8550i | 0.125318 | − | 1.43729i | ||||
\(932\) | −42.4761 | −1.39135 | ||||||||
\(933\) | −3.02860 | − | 2.06486i | −0.0991518 | − | 0.0676006i | ||||
\(934\) | 10.4653 | + | 9.71036i | 0.342434 | + | 0.317733i | ||||
\(935\) | 2.57429 | + | 6.55918i | 0.0841882 | + | 0.214508i | ||||
\(936\) | 3.68512 | − | 1.13671i | 0.120452 | − | 0.0371545i | ||||
\(937\) | −10.4445 | − | 45.7602i | −0.341206 | − | 1.49492i | −0.796533 | − | 0.604595i | \(-0.793335\pi\) |
0.455327 | − | 0.890324i | \(-0.349522\pi\) | |||||||
\(938\) | 18.0247 | − | 2.60470i | 0.588526 | − | 0.0850465i | ||||
\(939\) | 5.13513 | − | 22.4985i | 0.167579 | − | 0.734210i | ||||
\(940\) | 1.68419 | + | 22.4740i | 0.0549323 | + | 0.733020i | ||||
\(941\) | −1.14019 | − | 0.351703i | −0.0371692 | − | 0.0114652i | 0.276115 | − | 0.961125i | \(-0.410953\pi\) |
−0.313284 | + | 0.949659i | \(0.601429\pi\) | |||||||
\(942\) | −0.196705 | + | 2.62485i | −0.00640900 | + | 0.0855222i | ||||
\(943\) | 12.4933 | − | 31.8325i | 0.406839 | − | 1.03661i | ||||
\(944\) | −31.8252 | + | 15.3262i | −1.03582 | + | 0.498825i | ||||
\(945\) | 12.4042 | − | 15.3616i | 0.403507 | − | 0.499713i | ||||
\(946\) | 6.98743 | + | 3.36497i | 0.227181 | + | 0.109405i | ||||
\(947\) | −29.9226 | + | 27.7641i | −0.972354 | + | 0.902213i | −0.995233 | − | 0.0975253i | \(-0.968907\pi\) |
0.0228788 | + | 0.999738i | \(0.492717\pi\) | |||||||
\(948\) | −9.84600 | + | 1.48405i | −0.319783 | + | 0.0481996i | ||||
\(949\) | −3.93761 | + | 6.82013i | −0.127820 | + | 0.221391i | ||||
\(950\) | 4.85764 | + | 8.41368i | 0.157603 | + | 0.272976i | ||||
\(951\) | −14.5242 | − | 18.2127i | −0.470979 | − | 0.590589i | ||||
\(952\) | 3.19822 | − | 8.00535i | 0.103655 | − | 0.259455i | ||||
\(953\) | −12.3184 | + | 15.4468i | −0.399032 | + | 0.500371i | −0.940237 | − | 0.340520i | \(-0.889397\pi\) |
0.541205 | + | 0.840891i | \(0.317968\pi\) | |||||||
\(954\) | −3.95825 | − | 0.596610i | −0.128153 | − | 0.0193160i | ||||
\(955\) | −24.7490 | + | 16.8736i | −0.800859 | + | 0.546016i | ||||
\(956\) | −14.4133 | + | 9.82684i | −0.466160 | + | 0.317823i | ||||
\(957\) | 13.4577 | + | 2.02842i | 0.435025 | + | 0.0655695i | ||||
\(958\) | −4.05726 | + | 5.08764i | −0.131084 | + | 0.164374i | ||||
\(959\) | −25.2288 | − | 17.4265i | −0.814681 | − | 0.562733i | ||||
\(960\) | −1.73084 | − | 2.17040i | −0.0558625 | − | 0.0700493i | ||||
\(961\) | 9.74928 | + | 16.8862i | 0.314493 | + | 0.544718i | ||||
\(962\) | −2.69939 | + | 4.67548i | −0.0870317 | + | 0.150743i | ||||
\(963\) | −31.7800 | + | 4.79006i | −1.02410 | + | 0.154358i | ||||
\(964\) | 2.80311 | − | 2.60091i | 0.0902822 | − | 0.0837697i | ||||
\(965\) | 10.7135 | + | 5.15935i | 0.344880 | + | 0.166085i | ||||
\(966\) | −1.67571 | + | 7.14118i | −0.0539152 | + | 0.229764i | ||||
\(967\) | 45.4100 | − | 21.8683i | 1.46029 | − | 0.703238i | 0.475941 | − | 0.879477i | \(-0.342108\pi\) |
0.984347 | + | 0.176239i | \(0.0563932\pi\) | |||||||
\(968\) | 1.63393 | − | 4.16318i | 0.0525164 | − | 0.133810i | ||||
\(969\) | −0.792561 | + | 10.5760i | −0.0254607 | + | 0.339750i | ||||
\(970\) | 11.0493 | + | 3.40827i | 0.354773 | + | 0.109433i | ||||
\(971\) | 2.51808 | + | 33.6014i | 0.0808090 | + | 1.07832i | 0.879285 | + | 0.476295i | \(0.158021\pi\) |
−0.798476 | + | 0.602026i | \(0.794360\pi\) | |||||||
\(972\) | −6.01586 | + | 26.3572i | −0.192959 | + | 0.845408i | ||||
\(973\) | −2.48112 | + | 4.23766i | −0.0795412 | + | 0.135853i | ||||
\(974\) | −4.21073 | − | 18.4484i | −0.134920 | − | 0.591125i | ||||
\(975\) | 2.83374 | − | 0.874094i | 0.0907524 | − | 0.0279934i | ||||
\(976\) | −0.596391 | − | 1.51958i | −0.0190900 | − | 0.0486405i | ||||
\(977\) | −41.7658 | − | 38.7530i | −1.33621 | − | 1.23982i | −0.948009 | − | 0.318243i | \(-0.896907\pi\) |
−0.388197 | − | 0.921576i | \(-0.626902\pi\) | |||||||
\(978\) | −6.46239 | − | 4.40598i | −0.206645 | − | 0.140888i | ||||
\(979\) | 31.2249 | 0.997951 | ||||||||
\(980\) | 1.09452 | + | 17.4535i | 0.0349632 | + | 0.557530i | ||||
\(981\) | 26.3170 | 0.840238 | ||||||||
\(982\) | 9.34976 | + | 6.37456i | 0.298363 | + | 0.203420i | ||||
\(983\) | −0.660837 | − | 0.613167i | −0.0210774 | − | 0.0195570i | 0.669564 | − | 0.742755i | \(-0.266481\pi\) |
−0.690641 | + | 0.723198i | \(0.742672\pi\) | |||||||
\(984\) | 5.22554 | + | 13.3145i | 0.166584 | + | 0.424449i | ||||
\(985\) | −14.0554 | + | 4.33553i | −0.447843 | + | 0.138141i | ||||
\(986\) | 0.867391 | + | 3.80029i | 0.0276234 | + | 0.121026i | ||||
\(987\) | 1.99794 | − | 24.6469i | 0.0635950 | − | 0.784521i | ||||
\(988\) | 2.39113 | − | 10.4762i | 0.0760718 | − | 0.333292i | ||||
\(989\) | 1.79827 | + | 23.9963i | 0.0571817 | + | 0.763037i | ||||
\(990\) | −4.30124 | − | 1.32676i | −0.136702 | − | 0.0421671i | ||||
\(991\) | 3.47543 | − | 46.3764i | 0.110401 | − | 1.47319i | −0.616990 | − | 0.786971i | \(-0.711648\pi\) |
0.727391 | − | 0.686224i | \(-0.240733\pi\) | |||||||
\(992\) | −6.52300 | + | 16.6203i | −0.207106 | + | 0.527696i | ||||
\(993\) | −33.7058 | + | 16.2319i | −1.06962 | + | 0.515102i | ||||
\(994\) | 14.8373 | + | 0.0902940i | 0.470610 | + | 0.00286395i | ||||
\(995\) | −32.5649 | − | 15.6824i | −1.03238 | − | 0.497167i | ||||
\(996\) | 15.5553 | − | 14.4332i | 0.492888 | − | 0.457334i | ||||
\(997\) | 28.5681 | − | 4.30595i | 0.904762 | − | 0.136371i | 0.319851 | − | 0.947468i | \(-0.396367\pi\) |
0.584912 | + | 0.811097i | \(0.301129\pi\) | |||||||
\(998\) | −2.16898 | + | 3.75678i | −0.0686577 | + | 0.118919i | ||||
\(999\) | −25.5282 | − | 44.2162i | −0.807678 | − | 1.39894i |
(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 | 637.2.bl.b.53.18 | ✓ | 348 | |
49.37 | even | 21 | inner | 637.2.bl.b.625.18 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.b.53.18 | ✓ | 348 | 1.1 | even | 1 | trivial | |
637.2.bl.b.625.18 | yes | 348 | 49.37 | even | 21 | inner |