Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(47,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.bd (of order \(18\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 47.1 | ||
Character | \(\chi\) | \(=\) | 189.47 |
Dual form | 189.2.bd.a.185.1 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.68189 | − | 0.472890i | −1.89638 | − | 0.334384i | −0.901282 | − | 0.433232i | \(-0.857373\pi\) |
−0.995102 | + | 0.0988485i | \(0.968484\pi\) | |||||||
\(3\) | 0.605371 | + | 1.62281i | 0.349511 | + | 0.936932i | ||||
\(4\) | 5.08954 | + | 1.85244i | 2.54477 | + | 0.926221i | ||||
\(5\) | 2.55610 | + | 0.930344i | 1.14312 | + | 0.416062i | 0.843040 | − | 0.537851i | \(-0.180764\pi\) |
0.300082 | + | 0.953913i | \(0.402986\pi\) | |||||||
\(6\) | −0.856127 | − | 4.63849i | −0.349512 | − | 1.89365i | ||||
\(7\) | 2.58147 | − | 0.579686i | 0.975702 | − | 0.219101i | ||||
\(8\) | −8.05677 | − | 4.65158i | −2.84850 | − | 1.64458i | ||||
\(9\) | −2.26705 | + | 1.96481i | −0.755684 | + | 0.654936i | ||||
\(10\) | −6.41523 | − | 3.70384i | −2.02867 | − | 1.17126i | ||||
\(11\) | 0.0485071 | + | 0.133272i | 0.0146254 | + | 0.0401831i | 0.946791 | − | 0.321850i | \(-0.104305\pi\) |
−0.932165 | + | 0.362033i | \(0.882083\pi\) | |||||||
\(12\) | 0.0748907 | + | 9.38079i | 0.0216191 | + | 2.70800i | ||||
\(13\) | 0.695830 | − | 1.91178i | 0.192988 | − | 0.530231i | −0.805024 | − | 0.593242i | \(-0.797848\pi\) |
0.998013 | + | 0.0630103i | \(0.0200701\pi\) | |||||||
\(14\) | −7.19734 | + | 0.333907i | −1.92357 | + | 0.0892403i | ||||
\(15\) | 0.0376120 | + | 4.71128i | 0.00971138 | + | 1.21645i | ||||
\(16\) | 11.1096 | + | 9.32210i | 2.77741 | + | 2.33052i | ||||
\(17\) | 2.00080 | − | 3.46549i | 0.485266 | − | 0.840505i | −0.514591 | − | 0.857436i | \(-0.672056\pi\) |
0.999857 | + | 0.0169307i | \(0.00538946\pi\) | |||||||
\(18\) | 7.00913 | − | 4.19734i | 1.65207 | − | 0.989322i | ||||
\(19\) | −2.63555 | + | 1.52164i | −0.604638 | + | 0.349088i | −0.770864 | − | 0.637000i | \(-0.780175\pi\) |
0.166226 | + | 0.986088i | \(0.446842\pi\) | |||||||
\(20\) | 11.2860 | + | 9.47004i | 2.52362 | + | 2.11757i | ||||
\(21\) | 2.50347 | + | 3.83831i | 0.546301 | + | 0.837589i | ||||
\(22\) | −0.0670678 | − | 0.380360i | −0.0142989 | − | 0.0810931i | ||||
\(23\) | 1.29370 | − | 0.228114i | 0.269755 | − | 0.0475651i | −0.0371344 | − | 0.999310i | \(-0.511823\pi\) |
0.306889 | + | 0.951745i | \(0.400712\pi\) | |||||||
\(24\) | 2.67131 | − | 15.8906i | 0.545280 | − | 3.24365i | ||||
\(25\) | 1.83788 | + | 1.54216i | 0.367575 | + | 0.308432i | ||||
\(26\) | −2.77020 | + | 4.79813i | −0.543281 | + | 0.940990i | ||||
\(27\) | −4.56093 | − | 2.48957i | −0.877751 | − | 0.479118i | ||||
\(28\) | 14.2123 | + | 1.83168i | 2.68587 | + | 0.346154i | ||||
\(29\) | 2.12744 | + | 5.84511i | 0.395056 | + | 1.08541i | 0.964662 | + | 0.263491i | \(0.0848738\pi\) |
−0.569605 | + | 0.821918i | \(0.692904\pi\) | |||||||
\(30\) | 2.12704 | − | 12.6529i | 0.388343 | − | 2.31010i | ||||
\(31\) | −1.45503 | + | 3.99766i | −0.261331 | + | 0.718000i | 0.737748 | + | 0.675077i | \(0.235889\pi\) |
−0.999078 | + | 0.0429236i | \(0.986333\pi\) | |||||||
\(32\) | −13.4266 | − | 16.0012i | −2.37352 | − | 2.82865i | ||||
\(33\) | −0.186911 | + | 0.159397i | −0.0325371 | + | 0.0277475i | ||||
\(34\) | −7.00474 | + | 8.34792i | −1.20130 | + | 1.43166i | ||||
\(35\) | 7.13779 | + | 0.919915i | 1.20651 | + | 0.155494i | ||||
\(36\) | −15.1779 | + | 5.80039i | −2.52966 | + | 0.966732i | ||||
\(37\) | −9.38062 | −1.54217 | −0.771083 | − | 0.636735i | \(-0.780284\pi\) | ||||
−0.771083 | + | 0.636735i | \(0.780284\pi\) | |||||||
\(38\) | 7.78784 | − | 2.83454i | 1.26336 | − | 0.459824i | ||||
\(39\) | 3.52369 | − | 0.0281311i | 0.564242 | − | 0.00450458i | ||||
\(40\) | −16.2663 | − | 19.3854i | −2.57193 | − | 3.06511i | ||||
\(41\) | −0.303455 | − | 0.110449i | −0.0473917 | − | 0.0172492i | 0.318216 | − | 0.948018i | \(-0.396916\pi\) |
−0.365607 | + | 0.930769i | \(0.619139\pi\) | |||||||
\(42\) | −4.89893 | − | 11.4778i | −0.755921 | − | 1.77106i | ||||
\(43\) | 0.643705 | − | 3.65063i | 0.0981640 | − | 0.556716i | −0.895568 | − | 0.444925i | \(-0.853230\pi\) |
0.993732 | − | 0.111791i | \(-0.0356586\pi\) | |||||||
\(44\) | 0.768151i | 0.115803i | ||||||||
\(45\) | −7.62276 | + | 2.91311i | −1.13633 | + | 0.434260i | ||||
\(46\) | −3.57744 | −0.527464 | ||||||||
\(47\) | −6.27238 | + | 2.28296i | −0.914921 | + | 0.333004i | −0.756216 | − | 0.654322i | \(-0.772954\pi\) |
−0.158705 | + | 0.987326i | \(0.550732\pi\) | |||||||
\(48\) | −8.40258 | + | 23.6722i | −1.21281 | + | 3.41679i | ||||
\(49\) | 6.32793 | − | 2.99288i | 0.903990 | − | 0.427554i | ||||
\(50\) | −4.19971 | − | 5.00502i | −0.593929 | − | 0.707817i | ||||
\(51\) | 6.83508 | + | 1.14902i | 0.957102 | + | 0.160896i | ||||
\(52\) | 7.08291 | − | 8.44108i | 0.982222 | − | 1.17057i | ||||
\(53\) | 6.59926 | − | 3.81008i | 0.906477 | − | 0.523355i | 0.0271813 | − | 0.999631i | \(-0.491347\pi\) |
0.879296 | + | 0.476276i | \(0.158014\pi\) | |||||||
\(54\) | 11.0546 | + | 8.83357i | 1.50434 | + | 1.20210i | ||||
\(55\) | 0.385785i | 0.0520192i | ||||||||
\(56\) | −23.4947 | − | 7.33749i | −3.13961 | − | 0.980513i | ||||
\(57\) | −4.06482 | − | 3.35586i | −0.538399 | − | 0.444495i | ||||
\(58\) | −2.94149 | − | 16.6820i | −0.386236 | − | 2.19045i | ||||
\(59\) | −4.94316 | + | 4.14781i | −0.643545 | + | 0.539998i | −0.905105 | − | 0.425189i | \(-0.860208\pi\) |
0.261560 | + | 0.965187i | \(0.415763\pi\) | |||||||
\(60\) | −8.53593 | + | 24.0479i | −1.10198 | + | 3.10457i | ||||
\(61\) | −3.87584 | − | 10.6488i | −0.496251 | − | 1.36344i | −0.894872 | − | 0.446322i | \(-0.852733\pi\) |
0.398621 | − | 0.917116i | \(-0.369489\pi\) | |||||||
\(62\) | 5.79268 | − | 10.0332i | 0.735671 | − | 1.27422i | ||||
\(63\) | −4.71335 | + | 6.38626i | −0.593826 | + | 0.804594i | ||||
\(64\) | 13.9394 | + | 24.1437i | 1.74242 | + | 3.01796i | ||||
\(65\) | 3.55722 | − | 4.23933i | 0.441218 | − | 0.525824i | ||||
\(66\) | 0.576653 | − | 0.339098i | 0.0709811 | − | 0.0417400i | ||||
\(67\) | −0.311427 | − | 1.76619i | −0.0380469 | − | 0.215775i | 0.959857 | − | 0.280490i | \(-0.0904971\pi\) |
−0.997904 | + | 0.0647156i | \(0.979386\pi\) | |||||||
\(68\) | 16.6028 | − | 13.9314i | 2.01338 | − | 1.68943i | ||||
\(69\) | 1.15335 | + | 1.96134i | 0.138848 | + | 0.236118i | ||||
\(70\) | −18.7078 | − | 5.84250i | −2.23600 | − | 0.698313i | ||||
\(71\) | 6.03534 | − | 3.48450i | 0.716263 | − | 0.413534i | −0.0971130 | − | 0.995273i | \(-0.530961\pi\) |
0.813376 | + | 0.581739i | \(0.197627\pi\) | |||||||
\(72\) | 27.4046 | − | 5.28464i | 3.22966 | − | 0.622800i | ||||
\(73\) | − | 4.24105i | − | 0.496377i | −0.968712 | − | 0.248188i | \(-0.920165\pi\) | ||
0.968712 | − | 0.248188i | \(-0.0798352\pi\) | |||||||
\(74\) | 25.1578 | + | 4.43600i | 2.92454 | + | 0.515675i | ||||
\(75\) | −1.39004 | + | 3.91611i | −0.160508 | + | 0.452193i | ||||
\(76\) | −16.2325 | + | 2.86223i | −1.86200 | + | 0.328320i | ||||
\(77\) | 0.202475 | + | 0.315919i | 0.0230742 | + | 0.0360023i | ||||
\(78\) | −9.46347 | − | 1.59087i | −1.07153 | − | 0.180131i | ||||
\(79\) | −2.60094 | + | 14.7507i | −0.292628 | + | 1.65958i | 0.384060 | + | 0.923308i | \(0.374526\pi\) |
−0.676688 | + | 0.736270i | \(0.736585\pi\) | |||||||
\(80\) | 19.7246 | + | 34.1640i | 2.20528 | + | 3.81965i | ||||
\(81\) | 1.27905 | − | 8.90865i | 0.142117 | − | 0.989850i | ||||
\(82\) | 0.761604 | + | 0.439712i | 0.0841050 | + | 0.0485581i | ||||
\(83\) | 0.966634 | − | 0.351826i | 0.106102 | − | 0.0386179i | −0.288424 | − | 0.957503i | \(-0.593131\pi\) |
0.394526 | + | 0.918885i | \(0.370909\pi\) | |||||||
\(84\) | 5.63124 | + | 24.1728i | 0.614419 | + | 2.63747i | ||||
\(85\) | 8.33835 | − | 6.99670i | 0.904421 | − | 0.758899i | ||||
\(86\) | −3.45269 | + | 9.48620i | −0.372314 | + | 1.02292i | ||||
\(87\) | −8.19763 | + | 6.99090i | −0.878878 | + | 0.749503i | ||||
\(88\) | 0.229115 | − | 1.29938i | 0.0244238 | − | 0.138514i | ||||
\(89\) | −2.58608 | − | 4.47923i | −0.274124 | − | 0.474797i | 0.695790 | − | 0.718246i | \(-0.255055\pi\) |
−0.969914 | + | 0.243449i | \(0.921721\pi\) | |||||||
\(90\) | 21.8210 | − | 4.20791i | 2.30013 | − | 0.443553i | ||||
\(91\) | 0.688030 | − | 5.33855i | 0.0721251 | − | 0.559632i | ||||
\(92\) | 7.00690 | + | 1.23551i | 0.730520 | + | 0.128810i | ||||
\(93\) | −7.36829 | + | 0.0588240i | −0.764056 | + | 0.00609976i | ||||
\(94\) | 17.9015 | − | 3.15651i | 1.84639 | − | 0.325569i | ||||
\(95\) | −8.15238 | + | 1.43749i | −0.836417 | + | 0.147483i | ||||
\(96\) | 17.8390 | − | 31.4756i | 1.82068 | − | 3.21247i | ||||
\(97\) | 7.25860 | + | 1.27989i | 0.736999 | + | 0.129953i | 0.529533 | − | 0.848289i | \(-0.322367\pi\) |
0.207466 | + | 0.978242i | \(0.433478\pi\) | |||||||
\(98\) | −18.3861 | + | 5.03417i | −1.85728 | + | 0.508528i | ||||
\(99\) | −0.371822 | − | 0.206828i | −0.0373696 | − | 0.0207870i | ||||
\(100\) | 6.49718 | + | 11.2534i | 0.649718 | + | 1.12534i | ||||
\(101\) | 1.17079 | − | 6.63987i | 0.116498 | − | 0.660692i | −0.869500 | − | 0.493933i | \(-0.835559\pi\) |
0.985998 | − | 0.166759i | \(-0.0533302\pi\) | |||||||
\(102\) | −17.7876 | − | 6.31380i | −1.76123 | − | 0.625159i | ||||
\(103\) | −3.92540 | + | 10.7850i | −0.386781 | + | 1.06267i | 0.581660 | + | 0.813432i | \(0.302403\pi\) |
−0.968442 | + | 0.249241i | \(0.919819\pi\) | |||||||
\(104\) | −14.4989 | + | 12.1660i | −1.42174 | + | 1.19298i | ||||
\(105\) | 2.82815 | + | 12.1402i | 0.276000 | + | 1.18476i | ||||
\(106\) | −19.5002 | + | 7.09751i | −1.89403 | + | 0.689371i | ||||
\(107\) | −15.4754 | − | 8.93470i | −1.49606 | − | 0.863750i | −0.496069 | − | 0.868283i | \(-0.665224\pi\) |
−0.999990 | + | 0.00453289i | \(0.998557\pi\) | |||||||
\(108\) | −18.6012 | − | 21.1196i | −1.78991 | − | 2.03223i | ||||
\(109\) | −4.74241 | − | 8.21409i | −0.454240 | − | 0.786768i | 0.544404 | − | 0.838823i | \(-0.316756\pi\) |
−0.998644 | + | 0.0520558i | \(0.983423\pi\) | |||||||
\(110\) | 0.182434 | − | 1.03463i | 0.0173944 | − | 0.0986485i | ||||
\(111\) | −5.67876 | − | 15.2230i | −0.539004 | − | 1.44490i | ||||
\(112\) | 34.0830 | + | 17.6246i | 3.22055 | + | 1.66536i | ||||
\(113\) | −1.54842 | + | 0.273029i | −0.145663 | + | 0.0256844i | −0.246004 | − | 0.969269i | \(-0.579118\pi\) |
0.100341 | + | 0.994953i | \(0.468007\pi\) | |||||||
\(114\) | 9.31447 | + | 10.9223i | 0.872380 | + | 1.02296i | ||||
\(115\) | 3.51905 | + | 0.620503i | 0.328153 | + | 0.0578622i | ||||
\(116\) | 33.6899i | 3.12803i | ||||||||
\(117\) | 2.17879 | + | 5.70127i | 0.201429 | + | 0.527082i | ||||
\(118\) | 15.2185 | − | 8.78640i | 1.40098 | − | 0.808853i | ||||
\(119\) | 3.15611 | − | 10.1059i | 0.289320 | − | 0.926405i | ||||
\(120\) | 21.6118 | − | 38.1326i | 1.97288 | − | 3.48101i | ||||
\(121\) | 8.41108 | − | 7.05773i | 0.764644 | − | 0.641612i | ||||
\(122\) | 5.35889 | + | 30.3918i | 0.485171 | + | 2.75154i | ||||
\(123\) | −0.00446522 | − | 0.559313i | −0.000402616 | − | 0.0504316i | ||||
\(124\) | −14.8108 | + | 17.6509i | −1.33005 | + | 1.58510i | ||||
\(125\) | −3.53731 | − | 6.12679i | −0.316386 | − | 0.547997i | ||||
\(126\) | 15.6607 | − | 14.8984i | 1.39517 | − | 1.32725i | ||||
\(127\) | 9.03739 | − | 15.6532i | 0.801938 | − | 1.38900i | −0.116400 | − | 0.993202i | \(-0.537136\pi\) |
0.918339 | − | 0.395795i | \(-0.129531\pi\) | |||||||
\(128\) | −11.6783 | − | 32.0858i | −1.03222 | − | 2.83601i | ||||
\(129\) | 6.31398 | − | 1.16537i | 0.555915 | − | 0.102605i | ||||
\(130\) | −11.5448 | + | 9.68725i | −1.01255 | + | 0.849628i | ||||
\(131\) | 0.952268 | + | 5.40058i | 0.0832001 | + | 0.471851i | 0.997730 | + | 0.0673340i | \(0.0214493\pi\) |
−0.914530 | + | 0.404517i | \(0.867440\pi\) | |||||||
\(132\) | −1.24657 | + | 0.465016i | −0.108500 | + | 0.0404744i | ||||
\(133\) | −5.92152 | + | 5.45585i | −0.513461 | + | 0.473082i | ||||
\(134\) | 4.88401i | 0.421914i | ||||||||
\(135\) | −9.34202 | − | 10.6068i | −0.804033 | − | 0.912889i | ||||
\(136\) | −32.2400 | + | 18.6138i | −2.76456 | + | 1.59612i | ||||
\(137\) | 2.69106 | − | 3.20708i | 0.229913 | − | 0.273999i | −0.638738 | − | 0.769424i | \(-0.720543\pi\) |
0.868651 | + | 0.495425i | \(0.164988\pi\) | |||||||
\(138\) | −2.16567 | − | 5.80551i | −0.184354 | − | 0.494198i | ||||
\(139\) | 7.34520 | + | 8.75367i | 0.623012 | + | 0.742477i | 0.981585 | − | 0.191025i | \(-0.0611811\pi\) |
−0.358573 | + | 0.933502i | \(0.616737\pi\) | |||||||
\(140\) | 34.6240 | + | 17.9043i | 2.92626 | + | 1.51319i | ||||
\(141\) | −7.50194 | − | 8.79688i | −0.631777 | − | 0.740831i | ||||
\(142\) | −17.8339 | + | 6.49101i | −1.49659 | + | 0.544714i | ||||
\(143\) | 0.288539 | 0.0241289 | ||||||||
\(144\) | −43.5023 | + | 0.694637i | −3.62519 | + | 0.0578864i | ||||
\(145\) | 16.9199i | 1.40512i | ||||||||
\(146\) | −2.00555 | + | 11.3740i | −0.165980 | + | 0.941322i | ||||
\(147\) | 8.68763 | + | 8.45725i | 0.716544 | + | 0.697542i | ||||
\(148\) | −47.7431 | − | 17.3771i | −3.92446 | − | 1.42839i | ||||
\(149\) | −14.9103 | − | 17.7694i | −1.22150 | − | 1.45572i | −0.849581 | − | 0.527458i | \(-0.823145\pi\) |
−0.371917 | − | 0.928266i | \(-0.621299\pi\) | |||||||
\(150\) | 5.57984 | − | 9.84525i | 0.455592 | − | 0.803861i | ||||
\(151\) | −0.216400 | + | 0.0787632i | −0.0176104 | + | 0.00640965i | −0.350810 | − | 0.936447i | \(-0.614094\pi\) |
0.333200 | + | 0.942856i | \(0.391872\pi\) | |||||||
\(152\) | 28.3121 | 2.29641 | ||||||||
\(153\) | 2.27310 | + | 11.7876i | 0.183770 | + | 0.952975i | ||||
\(154\) | −0.393623 | − | 0.943009i | −0.0317190 | − | 0.0759898i | ||||
\(155\) | −7.43839 | + | 8.86472i | −0.597466 | + | 0.712032i | ||||
\(156\) | 17.9861 | + | 6.38426i | 1.44004 | + | 0.511150i | ||||
\(157\) | 6.32473 | + | 7.53752i | 0.504769 | + | 0.601560i | 0.956909 | − | 0.290387i | \(-0.0937840\pi\) |
−0.452141 | + | 0.891947i | \(0.649340\pi\) | |||||||
\(158\) | 13.9509 | − | 38.3297i | 1.10987 | − | 3.04935i | ||||
\(159\) | 10.1781 | + | 8.40285i | 0.807172 | + | 0.666390i | ||||
\(160\) | −19.4332 | − | 53.3921i | −1.53633 | − | 4.22102i | ||||
\(161\) | 3.20740 | − | 1.33881i | 0.252779 | − | 0.105513i | ||||
\(162\) | −7.64310 | + | 23.2872i | −0.600499 | + | 1.82961i | ||||
\(163\) | −0.272626 | + | 0.472203i | −0.0213537 | + | 0.0369858i | −0.876505 | − | 0.481393i | \(-0.840131\pi\) |
0.855151 | + | 0.518379i | \(0.173464\pi\) | |||||||
\(164\) | −1.33985 | − | 1.12426i | −0.104624 | − | 0.0877903i | ||||
\(165\) | −0.626057 | + | 0.233543i | −0.0487385 | + | 0.0181813i | ||||
\(166\) | −2.75878 | + | 0.486448i | −0.214123 | + | 0.0377557i | ||||
\(167\) | 2.22249 | + | 12.6044i | 0.171981 | + | 0.975354i | 0.941571 | + | 0.336815i | \(0.109350\pi\) |
−0.769590 | + | 0.638539i | \(0.779539\pi\) | |||||||
\(168\) | −2.31564 | − | 42.5695i | −0.178655 | − | 3.28431i | ||||
\(169\) | 6.78787 | + | 5.69570i | 0.522144 | + | 0.438131i | ||||
\(170\) | −25.6712 | + | 14.8213i | −1.96889 | + | 1.13674i | ||||
\(171\) | 2.98521 | − | 8.62800i | 0.228285 | − | 0.659799i | ||||
\(172\) | 10.0387 | − | 17.3876i | 0.765447 | − | 1.32579i | ||||
\(173\) | 2.57625 | + | 2.16173i | 0.195869 | + | 0.164353i | 0.735447 | − | 0.677582i | \(-0.236972\pi\) |
−0.539579 | + | 0.841935i | \(0.681416\pi\) | |||||||
\(174\) | 25.2911 | − | 14.8723i | 1.91731 | − | 1.12746i | ||||
\(175\) | 5.63838 | + | 2.91564i | 0.426221 | + | 0.220402i | ||||
\(176\) | −0.703479 | + | 1.93279i | −0.0530268 | + | 0.145690i | ||||
\(177\) | −9.72356 | − | 5.51087i | −0.730868 | − | 0.414223i | ||||
\(178\) | 4.81742 | + | 13.2357i | 0.361081 | + | 0.992061i | ||||
\(179\) | −1.15514 | − | 0.666922i | −0.0863395 | − | 0.0498481i | 0.456209 | − | 0.889873i | \(-0.349207\pi\) |
−0.542548 | + | 0.840025i | \(0.682540\pi\) | |||||||
\(180\) | −44.1927 | + | 0.705661i | −3.29393 | + | 0.0525969i | ||||
\(181\) | −2.64678 | − | 1.52812i | −0.196733 | − | 0.113584i | 0.398398 | − | 0.917213i | \(-0.369566\pi\) |
−0.595131 | + | 0.803629i | \(0.702900\pi\) | |||||||
\(182\) | −4.36977 | + | 13.9920i | −0.323909 | + | 1.03716i | ||||
\(183\) | 14.9347 | − | 12.7362i | 1.10400 | − | 0.941490i | ||||
\(184\) | −11.4841 | − | 4.17988i | −0.846621 | − | 0.308145i | ||||
\(185\) | −23.9778 | − | 8.72720i | −1.76288 | − | 0.641637i | ||||
\(186\) | 19.7888 | + | 3.32663i | 1.45098 | + | 0.243920i | ||||
\(187\) | 0.558907 | + | 0.0985503i | 0.0408713 | + | 0.00720671i | ||||
\(188\) | −36.1526 | −2.63670 | ||||||||
\(189\) | −13.2170 | − | 3.78283i | −0.961398 | − | 0.275160i | ||||
\(190\) | 22.5436 | 1.63548 | ||||||||
\(191\) | 14.9021 | + | 2.62764i | 1.07828 | + | 0.190130i | 0.684454 | − | 0.729056i | \(-0.260041\pi\) |
0.393825 | + | 0.919186i | \(0.371152\pi\) | |||||||
\(192\) | −30.7423 | + | 37.2369i | −2.21863 | + | 2.68734i | ||||
\(193\) | −4.48848 | − | 1.63367i | −0.323088 | − | 0.117594i | 0.175384 | − | 0.984500i | \(-0.443883\pi\) |
−0.498472 | + | 0.866906i | \(0.666105\pi\) | |||||||
\(194\) | −18.8615 | − | 6.86504i | −1.35418 | − | 0.492881i | ||||
\(195\) | 9.03307 | + | 3.20634i | 0.646872 | + | 0.229611i | ||||
\(196\) | 37.7504 | − | 3.51027i | 2.69646 | − | 0.250733i | ||||
\(197\) | 7.02585 | + | 4.05638i | 0.500571 | + | 0.289005i | 0.728949 | − | 0.684568i | \(-0.240009\pi\) |
−0.228378 | + | 0.973572i | \(0.573342\pi\) | |||||||
\(198\) | 0.899381 | + | 0.730521i | 0.0639162 | + | 0.0519159i | ||||
\(199\) | 4.36607 | + | 2.52075i | 0.309502 | + | 0.178691i | 0.646704 | − | 0.762741i | \(-0.276147\pi\) |
−0.337201 | + | 0.941433i | \(0.609480\pi\) | |||||||
\(200\) | −7.63386 | − | 20.9738i | −0.539795 | − | 1.48307i | ||||
\(201\) | 2.67767 | − | 1.57459i | 0.188869 | − | 0.111063i | ||||
\(202\) | −6.27986 | + | 17.2538i | −0.441850 | + | 1.21397i | ||||
\(203\) | 8.88025 | + | 13.8557i | 0.623271 | + | 0.972479i | ||||
\(204\) | 32.6589 | + | 18.5096i | 2.28658 | + | 1.29593i | ||||
\(205\) | −0.672905 | − | 0.564635i | −0.0469977 | − | 0.0394358i | ||||
\(206\) | 15.6276 | − | 27.0678i | 1.08883 | − | 1.88590i | ||||
\(207\) | −2.48468 | + | 3.05902i | −0.172697 | + | 0.212616i | ||||
\(208\) | 25.5522 | − | 14.7526i | 1.77172 | − | 1.02291i | ||||
\(209\) | −0.330635 | − | 0.277436i | −0.0228705 | − | 0.0191906i | ||||
\(210\) | −1.84383 | − | 33.8961i | −0.127237 | − | 2.33905i | ||||
\(211\) | −0.533965 | − | 3.02827i | −0.0367597 | − | 0.208474i | 0.960896 | − | 0.276910i | \(-0.0893104\pi\) |
−0.997656 | + | 0.0684355i | \(0.978199\pi\) | |||||||
\(212\) | 40.6451 | − | 7.16683i | 2.79152 | − | 0.492220i | ||||
\(213\) | 9.30832 | + | 7.68481i | 0.637795 | + | 0.526555i | ||||
\(214\) | 37.2781 | + | 31.2801i | 2.54828 | + | 2.13826i | ||||
\(215\) | 5.04171 | − | 8.73250i | 0.343842 | − | 0.595552i | ||||
\(216\) | 25.1659 | + | 41.2734i | 1.71232 | + | 2.80830i | ||||
\(217\) | −1.43872 | + | 11.1633i | −0.0976666 | + | 0.757812i | ||||
\(218\) | 8.83427 | + | 24.2720i | 0.598332 | + | 1.64390i | ||||
\(219\) | 6.88243 | − | 2.56741i | 0.465072 | − | 0.173489i | ||||
\(220\) | −0.714644 | + | 1.96347i | −0.0481813 | + | 0.132377i | ||||
\(221\) | −5.23303 | − | 6.23648i | −0.352011 | − | 0.419511i | ||||
\(222\) | 8.03100 | + | 43.5119i | 0.539006 | + | 2.92033i | ||||
\(223\) | 11.4325 | − | 13.6247i | 0.765576 | − | 0.912378i | −0.232611 | − | 0.972570i | \(-0.574727\pi\) |
0.998187 | + | 0.0601917i | \(0.0191712\pi\) | |||||||
\(224\) | −43.9361 | − | 33.5234i | −2.93560 | − | 2.23988i | ||||
\(225\) | −7.19661 | + | 0.114914i | −0.479774 | + | 0.00766095i | ||||
\(226\) | 4.28182 | 0.284822 | ||||||||
\(227\) | −6.79748 | + | 2.47408i | −0.451165 | + | 0.164211i | −0.557601 | − | 0.830109i | \(-0.688278\pi\) |
0.106436 | + | 0.994320i | \(0.466056\pi\) | |||||||
\(228\) | −14.4716 | − | 24.6096i | −0.958402 | − | 1.62981i | ||||
\(229\) | 9.76524 | + | 11.6378i | 0.645305 | + | 0.769045i | 0.985198 | − | 0.171419i | \(-0.0548353\pi\) |
−0.339893 | + | 0.940464i | \(0.610391\pi\) | |||||||
\(230\) | −9.14427 | − | 3.32824i | −0.602956 | − | 0.219458i | ||||
\(231\) | −0.390105 | + | 0.519828i | −0.0256670 | + | 0.0342022i | ||||
\(232\) | 10.0486 | − | 56.9886i | 0.659725 | − | 3.74149i | ||||
\(233\) | 12.3912i | 0.811776i | 0.913923 | + | 0.405888i | \(0.133038\pi\) | ||||
−0.913923 | + | 0.405888i | \(0.866962\pi\) | |||||||
\(234\) | −3.14721 | − | 16.3205i | −0.205740 | − | 1.06691i | ||||
\(235\) | −18.1568 | −1.18442 | ||||||||
\(236\) | −32.8420 | + | 11.9535i | −2.13783 | + | 0.778107i | ||||
\(237\) | −25.5121 | + | 4.70877i | −1.65719 | + | 0.305868i | ||||
\(238\) | −13.2433 | + | 25.6104i | −0.858436 | + | 1.66008i | ||||
\(239\) | 5.11974 | + | 6.10146i | 0.331168 | + | 0.394671i | 0.905775 | − | 0.423759i | \(-0.139290\pi\) |
−0.574607 | + | 0.818430i | \(0.694845\pi\) | |||||||
\(240\) | −43.5011 | + | 52.6912i | −2.80798 | + | 3.40120i | ||||
\(241\) | 0.352467 | − | 0.420054i | 0.0227044 | − | 0.0270581i | −0.754573 | − | 0.656216i | \(-0.772156\pi\) |
0.777277 | + | 0.629158i | \(0.216600\pi\) | |||||||
\(242\) | −25.8952 | + | 14.9506i | −1.66460 | + | 0.961059i | ||||
\(243\) | 15.2314 | − | 3.31737i | 0.977094 | − | 0.212809i | ||||
\(244\) | − | 61.3772i | − | 3.92927i | ||||||
\(245\) | 18.9592 | − | 1.76295i | 1.21126 | − | 0.112630i | ||||
\(246\) | −0.252518 | + | 1.50213i | −0.0161000 | + | 0.0957723i | ||||
\(247\) | 1.07513 | + | 6.09739i | 0.0684092 | + | 0.387968i | ||||
\(248\) | 30.3182 | − | 25.4400i | 1.92521 | − | 1.61544i | ||||
\(249\) | 1.15612 | + | 1.35568i | 0.0732661 | + | 0.0859129i | ||||
\(250\) | 6.58938 | + | 18.1042i | 0.416749 | + | 1.14501i | ||||
\(251\) | −8.86627 | + | 15.3568i | −0.559634 | + | 0.969314i | 0.437893 | + | 0.899027i | \(0.355725\pi\) |
−0.997527 | + | 0.0702870i | \(0.977608\pi\) | |||||||
\(252\) | −35.8189 | + | 23.7720i | −2.25638 | + | 1.49749i | ||||
\(253\) | 0.0931548 | + | 0.161349i | 0.00585659 | + | 0.0101439i | ||||
\(254\) | −31.6395 | + | 37.7065i | −1.98524 | + | 2.36592i | ||||
\(255\) | 16.4021 | + | 9.29599i | 1.02714 | + | 0.582137i | ||||
\(256\) | 6.46462 | + | 36.6627i | 0.404039 | + | 2.29142i | ||||
\(257\) | 21.4325 | − | 17.9840i | 1.33692 | − | 1.12181i | 0.354519 | − | 0.935049i | \(-0.384645\pi\) |
0.982405 | − | 0.186764i | \(-0.0597999\pi\) | |||||||
\(258\) | −17.4845 | + | 0.139586i | −1.08854 | + | 0.00869024i | ||||
\(259\) | −24.2158 | + | 5.43782i | −1.50469 | + | 0.337890i | ||||
\(260\) | 25.9577 | − | 14.9867i | 1.60983 | − | 0.929435i | ||||
\(261\) | −16.3075 | − | 9.07114i | −1.00941 | − | 0.561489i | ||||
\(262\) | − | 14.9341i | − | 0.922632i | ||||||
\(263\) | −10.9874 | − | 1.93738i | −0.677512 | − | 0.119464i | −0.175705 | − | 0.984443i | \(-0.556220\pi\) |
−0.501808 | + | 0.864979i | \(0.667331\pi\) | |||||||
\(264\) | 2.24735 | − | 0.414793i | 0.138315 | − | 0.0255288i | ||||
\(265\) | 20.4130 | − | 3.59937i | 1.25396 | − | 0.221107i | ||||
\(266\) | 18.4609 | − | 11.8318i | 1.13191 | − | 0.725453i | ||||
\(267\) | 5.70342 | − | 6.90833i | 0.349043 | − | 0.422783i | ||||
\(268\) | 1.68675 | − | 9.56601i | 0.103034 | − | 0.584337i | ||||
\(269\) | −2.38895 | − | 4.13779i | −0.145657 | − | 0.252286i | 0.783961 | − | 0.620810i | \(-0.213196\pi\) |
−0.929618 | + | 0.368525i | \(0.879863\pi\) | |||||||
\(270\) | 20.0384 | + | 32.8641i | 1.21950 | + | 2.00004i | ||||
\(271\) | −18.5269 | − | 10.6965i | −1.12543 | − | 0.649766i | −0.182647 | − | 0.983179i | \(-0.558467\pi\) |
−0.942781 | + | 0.333412i | \(0.891800\pi\) | |||||||
\(272\) | 54.5339 | − | 19.8487i | 3.30660 | − | 1.20350i | ||||
\(273\) | 9.07998 | − | 2.11526i | 0.549546 | − | 0.128021i | ||||
\(274\) | −8.73373 | + | 7.32847i | −0.527624 | + | 0.442729i | ||||
\(275\) | −0.116377 | + | 0.319743i | −0.00701780 | + | 0.0192812i | ||||
\(276\) | 2.23678 | + | 12.1188i | 0.134638 | + | 0.729468i | ||||
\(277\) | 2.15053 | − | 12.1962i | 0.129213 | − | 0.732801i | −0.849504 | − | 0.527583i | \(-0.823098\pi\) |
0.978716 | − | 0.205218i | \(-0.0657905\pi\) | |||||||
\(278\) | −15.5595 | − | 26.9499i | −0.933198 | − | 1.61635i | ||||
\(279\) | −4.55600 | − | 11.9217i | −0.272761 | − | 0.713736i | ||||
\(280\) | −53.2284 | − | 40.6135i | −3.18101 | − | 2.42712i | ||||
\(281\) | −15.3782 | − | 2.71159i | −0.917385 | − | 0.161760i | −0.305030 | − | 0.952343i | \(-0.598667\pi\) |
−0.612355 | + | 0.790583i | \(0.709778\pi\) | |||||||
\(282\) | 15.9594 | + | 27.1399i | 0.950371 | + | 1.61616i | ||||
\(283\) | −22.5207 | + | 3.97101i | −1.33872 | + | 0.236052i | −0.796730 | − | 0.604335i | \(-0.793439\pi\) |
−0.541987 | + | 0.840387i | \(0.682328\pi\) | |||||||
\(284\) | 37.1719 | − | 6.55441i | 2.20575 | − | 0.388933i | ||||
\(285\) | −7.26799 | − | 12.3596i | −0.430518 | − | 0.732119i | ||||
\(286\) | −0.773831 | − | 0.136447i | −0.0457576 | − | 0.00806830i | ||||
\(287\) | −0.847384 | − | 0.109211i | −0.0500195 | − | 0.00644649i | ||||
\(288\) | 61.8783 | + | 9.89489i | 3.64621 | + | 0.583062i | ||||
\(289\) | 0.493577 | + | 0.854901i | 0.0290340 | + | 0.0502883i | ||||
\(290\) | 8.00126 | − | 45.3774i | 0.469850 | − | 2.66465i | ||||
\(291\) | 2.31712 | + | 12.5542i | 0.135832 | + | 0.735938i | ||||
\(292\) | 7.85629 | − | 21.5850i | 0.459755 | − | 1.26317i | ||||
\(293\) | −25.2580 | + | 21.1939i | −1.47559 | + | 1.23816i | −0.564837 | + | 0.825203i | \(0.691061\pi\) |
−0.910749 | + | 0.412960i | \(0.864495\pi\) | |||||||
\(294\) | −19.2999 | − | 26.7897i | −1.12560 | − | 1.56241i | ||||
\(295\) | −16.4941 | + | 6.00336i | −0.960323 | + | 0.349529i | ||||
\(296\) | 75.5775 | + | 43.6347i | 4.39285 | + | 2.53622i | ||||
\(297\) | 0.110553 | − | 0.728606i | 0.00641492 | − | 0.0422780i | ||||
\(298\) | 31.5848 | + | 54.7065i | 1.82966 | + | 3.16906i | ||||
\(299\) | 0.464091 | − | 2.63199i | 0.0268391 | − | 0.152212i | ||||
\(300\) | −14.3290 | + | 17.3562i | −0.827288 | + | 1.00206i | ||||
\(301\) | −0.454519 | − | 9.79712i | −0.0261980 | − | 0.564697i | ||||
\(302\) | 0.617608 | − | 0.108901i | 0.0355393 | − | 0.00626654i | ||||
\(303\) | 11.4840 | − | 2.11961i | 0.659741 | − | 0.121769i | ||||
\(304\) | −43.4649 | − | 7.66404i | −2.49288 | − | 0.439563i | ||||
\(305\) | − | 30.8252i | − | 1.76505i | ||||||
\(306\) | −0.521958 | − | 32.6881i | −0.0298384 | − | 1.86866i | ||||
\(307\) | −13.5558 | + | 7.82647i | −0.773672 | + | 0.446680i | −0.834183 | − | 0.551488i | \(-0.814060\pi\) |
0.0605107 | + | 0.998168i | \(0.480727\pi\) | |||||||
\(308\) | 0.445286 | + | 1.98295i | 0.0253725 | + | 0.112989i | ||||
\(309\) | −19.8783 | + | 0.158696i | −1.13084 | + | 0.00902793i | ||||
\(310\) | 24.1410 | − | 20.2567i | 1.37112 | − | 1.15050i | ||||
\(311\) | 4.62000 | + | 26.2013i | 0.261976 | + | 1.48574i | 0.777509 | + | 0.628872i | \(0.216483\pi\) |
−0.515533 | + | 0.856870i | \(0.672406\pi\) | |||||||
\(312\) | −28.5204 | − | 16.1641i | −1.61465 | − | 0.915111i | ||||
\(313\) | −20.0560 | + | 23.9018i | −1.13363 | + | 1.35101i | −0.205544 | + | 0.978648i | \(0.565896\pi\) |
−0.928088 | + | 0.372362i | \(0.878548\pi\) | |||||||
\(314\) | −13.3978 | − | 23.2057i | −0.756084 | − | 1.30958i | ||||
\(315\) | −17.9892 | + | 11.9389i | −1.01358 | + | 0.672680i | ||||
\(316\) | −40.5623 | + | 70.2560i | −2.28181 | + | 3.95221i | ||||
\(317\) | −4.23367 | − | 11.6319i | −0.237787 | − | 0.653313i | −0.999982 | − | 0.00596653i | \(-0.998101\pi\) |
0.762196 | − | 0.647347i | \(-0.224121\pi\) | |||||||
\(318\) | −23.3228 | − | 27.3487i | −1.30788 | − | 1.53364i | ||||
\(319\) | −0.675794 | + | 0.567058i | −0.0378372 | + | 0.0317492i | ||||
\(320\) | 13.1685 | + | 74.6821i | 0.736140 | + | 4.17486i | ||||
\(321\) | 5.13103 | − | 30.5224i | 0.286386 | − | 1.70360i | ||||
\(322\) | −9.23503 | + | 2.07379i | −0.514648 | + | 0.115568i | ||||
\(323\) | 12.1780i | 0.677602i | ||||||||
\(324\) | 23.0125 | − | 42.9716i | 1.27847 | − | 2.38731i | ||||
\(325\) | 4.22711 | − | 2.44053i | 0.234478 | − | 0.135376i | ||||
\(326\) | 0.954455 | − | 1.13748i | 0.0528624 | − | 0.0629989i | ||||
\(327\) | 10.4590 | − | 12.6686i | 0.578386 | − | 0.700576i | ||||
\(328\) | 1.93111 | + | 2.30140i | 0.106627 | + | 0.127074i | ||||
\(329\) | −14.8685 | + | 9.52940i | −0.819729 | + | 0.525373i | ||||
\(330\) | 1.78946 | − | 0.330281i | 0.0985065 | − | 0.0181814i | ||||
\(331\) | 17.8661 | − | 6.50272i | 0.982008 | − | 0.357422i | 0.199388 | − | 0.979921i | \(-0.436105\pi\) |
0.782621 | + | 0.622499i | \(0.213882\pi\) | |||||||
\(332\) | 5.57146 | 0.305774 | ||||||||
\(333\) | 21.2664 | − | 18.4311i | 1.16539 | − | 1.01002i | ||||
\(334\) | − | 34.8545i | − | 1.90715i | ||||||
\(335\) | 0.847127 | − | 4.80430i | 0.0462835 | − | 0.262487i | ||||
\(336\) | −7.96852 | + | 65.9799i | −0.434718 | + | 3.59950i | ||||
\(337\) | 22.8085 | + | 8.30162i | 1.24246 | + | 0.452218i | 0.877847 | − | 0.478941i | \(-0.158979\pi\) |
0.364612 | + | 0.931159i | \(0.381201\pi\) | |||||||
\(338\) | −15.5109 | − | 18.4852i | −0.843682 | − | 1.00546i | ||||
\(339\) | −1.38044 | − | 2.34752i | −0.0749755 | − | 0.127500i | ||||
\(340\) | 55.3993 | − | 20.1637i | 3.00445 | − | 1.09353i | ||||
\(341\) | −0.603356 | −0.0326735 | ||||||||
\(342\) | −12.0861 | + | 21.7277i | −0.653542 | + | 1.17490i | ||||
\(343\) | 14.6004 | − | 11.3942i | 0.788347 | − | 0.615230i | ||||
\(344\) | −22.1674 | + | 26.4180i | −1.19518 | + | 1.42437i | ||||
\(345\) | 1.12337 | + | 6.08639i | 0.0604800 | + | 0.327680i | ||||
\(346\) | −5.88697 | − | 7.01582i | −0.316485 | − | 0.377173i | ||||
\(347\) | −10.4256 | + | 28.6441i | −0.559675 | + | 1.53769i | 0.260438 | + | 0.965491i | \(0.416133\pi\) |
−0.820112 | + | 0.572203i | \(0.806089\pi\) | |||||||
\(348\) | −54.6724 | + | 20.3949i | −2.93075 | + | 1.09328i | ||||
\(349\) | 3.07591 | + | 8.45099i | 0.164650 | + | 0.452371i | 0.994390 | − | 0.105779i | \(-0.0337336\pi\) |
−0.829740 | + | 0.558150i | \(0.811511\pi\) | |||||||
\(350\) | −13.7428 | − | 10.4858i | −0.734581 | − | 0.560488i | ||||
\(351\) | −7.93312 | + | 6.98716i | −0.423439 | + | 0.372947i | ||||
\(352\) | 1.48123 | − | 2.56557i | 0.0789500 | − | 0.136745i | ||||
\(353\) | −13.7471 | − | 11.5352i | −0.731685 | − | 0.613957i | 0.198905 | − | 0.980019i | \(-0.436261\pi\) |
−0.930590 | + | 0.366062i | \(0.880706\pi\) | |||||||
\(354\) | 23.4715 | + | 19.3778i | 1.24750 | + | 1.02992i | ||||
\(355\) | 18.6687 | − | 3.29179i | 0.990831 | − | 0.174710i | ||||
\(356\) | −4.86447 | − | 27.5878i | −0.257816 | − | 1.46215i | ||||
\(357\) | 18.3106 | − | 0.996034i | 0.969099 | − | 0.0527157i | ||||
\(358\) | 2.78259 | + | 2.33487i | 0.147064 | + | 0.123402i | ||||
\(359\) | 23.3898 | − | 13.5041i | 1.23447 | − | 0.712719i | 0.266508 | − | 0.963833i | \(-0.414130\pi\) |
0.967958 | + | 0.251114i | \(0.0807969\pi\) | |||||||
\(360\) | 74.9653 | + | 11.9876i | 3.95102 | + | 0.631803i | ||||
\(361\) | −4.86923 | + | 8.43376i | −0.256275 | + | 0.443882i | ||||
\(362\) | 6.37574 | + | 5.34988i | 0.335101 | + | 0.281184i | ||||
\(363\) | 16.5452 | + | 9.37708i | 0.868399 | + | 0.492169i | ||||
\(364\) | 13.3911 | − | 25.8962i | 0.701884 | − | 1.35733i | ||||
\(365\) | 3.94563 | − | 10.8405i | 0.206524 | − | 0.567419i | ||||
\(366\) | −46.0761 | + | 27.0948i | −2.40844 | + | 1.41627i | ||||
\(367\) | −5.49659 | − | 15.1017i | −0.286920 | − | 0.788305i | −0.996493 | − | 0.0836737i | \(-0.973335\pi\) |
0.709574 | − | 0.704631i | \(-0.248888\pi\) | |||||||
\(368\) | 16.4990 | + | 9.52572i | 0.860072 | + | 0.496563i | ||||
\(369\) | 0.904958 | − | 0.345838i | 0.0471103 | − | 0.0180036i | ||||
\(370\) | 60.1789 | + | 34.7443i | 3.12855 | + | 1.80627i | ||||
\(371\) | 14.8271 | − | 13.6611i | 0.769785 | − | 0.709249i | ||||
\(372\) | −37.6102 | − | 13.3499i | −1.95000 | − | 0.692161i | ||||
\(373\) | 18.4113 | + | 6.70115i | 0.953299 | + | 0.346972i | 0.771404 | − | 0.636346i | \(-0.219555\pi\) |
0.181895 | + | 0.983318i | \(0.441777\pi\) | |||||||
\(374\) | −1.45232 | − | 0.528603i | −0.0750979 | − | 0.0273334i | ||||
\(375\) | 7.80127 | − | 9.44937i | 0.402856 | − | 0.487964i | ||||
\(376\) | 61.1545 | + | 10.7832i | 3.15380 | + | 0.556101i | ||||
\(377\) | 12.6549 | 0.651759 | ||||||||
\(378\) | 33.6578 | + | 16.3953i | 1.73117 | + | 0.843286i | ||||
\(379\) | 4.00603 | 0.205776 | 0.102888 | − | 0.994693i | \(-0.467192\pi\) | ||||
0.102888 | + | 0.994693i | \(0.467192\pi\) | |||||||
\(380\) | −44.1547 | − | 7.78567i | −2.26509 | − | 0.399397i | ||||
\(381\) | 30.8732 | + | 5.19000i | 1.58168 | + | 0.265892i | ||||
\(382\) | −38.7233 | − | 14.0941i | −1.98126 | − | 0.721118i | ||||
\(383\) | −19.9066 | − | 7.24540i | −1.01718 | − | 0.370222i | −0.220993 | − | 0.975275i | \(-0.570930\pi\) |
−0.796185 | + | 0.605053i | \(0.793152\pi\) | |||||||
\(384\) | 44.9996 | − | 38.3754i | 2.29637 | − | 1.95834i | ||||
\(385\) | 0.223634 | + | 0.995891i | 0.0113975 | + | 0.0507553i | ||||
\(386\) | 11.2651 | + | 6.50390i | 0.573377 | + | 0.331040i | ||||
\(387\) | 5.71348 | + | 9.54093i | 0.290432 | + | 0.484993i | ||||
\(388\) | 34.5720 | + | 19.9602i | 1.75513 | + | 1.01332i | ||||
\(389\) | 6.11758 | + | 16.8079i | 0.310174 | + | 0.852195i | 0.992621 | + | 0.121260i | \(0.0386936\pi\) |
−0.682447 | + | 0.730935i | \(0.739084\pi\) | |||||||
\(390\) | −22.7095 | − | 12.8707i | −1.14994 | − | 0.651734i | ||||
\(391\) | 1.79791 | − | 4.93971i | 0.0909242 | − | 0.249812i | ||||
\(392\) | −64.9043 | − | 5.32191i | −3.27816 | − | 0.268797i | ||||
\(393\) | −8.18767 | + | 4.81471i | −0.413013 | + | 0.242870i | ||||
\(394\) | −16.9244 | − | 14.2012i | −0.852637 | − | 0.715447i | ||||
\(395\) | −20.3714 | + | 35.2844i | −1.02500 | + | 1.77535i | ||||
\(396\) | −1.50927 | − | 1.74144i | −0.0758436 | − | 0.0875105i | ||||
\(397\) | −13.9690 | + | 8.06502i | −0.701085 | + | 0.404772i | −0.807752 | − | 0.589523i | \(-0.799316\pi\) |
0.106666 | + | 0.994295i | \(0.465982\pi\) | |||||||
\(398\) | −10.5173 | − | 8.82505i | −0.527184 | − | 0.442360i | ||||
\(399\) | −12.4385 | − | 6.30672i | −0.622706 | − | 0.315731i | ||||
\(400\) | 6.04197 | + | 34.2657i | 0.302098 | + | 1.71328i | ||||
\(401\) | 2.93174 | − | 0.516945i | 0.146404 | − | 0.0258150i | −0.0999658 | − | 0.994991i | \(-0.531873\pi\) |
0.246370 | + | 0.969176i | \(0.420762\pi\) | |||||||
\(402\) | −7.92584 | + | 2.95664i | −0.395305 | + | 0.147464i | ||||
\(403\) | 6.63017 | + | 5.56337i | 0.330272 | + | 0.277131i | ||||
\(404\) | 18.2588 | − | 31.6251i | 0.908407 | − | 1.57341i | ||||
\(405\) | 11.5575 | − | 21.5814i | 0.574296 | − | 1.07239i | ||||
\(406\) | −17.2637 | − | 41.3589i | −0.856781 | − | 2.05261i | ||||
\(407\) | −0.455027 | − | 1.25018i | −0.0225548 | − | 0.0619689i | ||||
\(408\) | −49.7239 | − | 41.0513i | −2.46170 | − | 2.03234i | ||||
\(409\) | −7.88805 | + | 21.6722i | −0.390039 | + | 1.07162i | 0.576944 | + | 0.816783i | \(0.304245\pi\) |
−0.966983 | + | 0.254840i | \(0.917977\pi\) | |||||||
\(410\) | 1.53765 | + | 1.83250i | 0.0759391 | + | 0.0905007i | ||||
\(411\) | 6.83358 | + | 2.42562i | 0.337076 | + | 0.119647i | ||||
\(412\) | −39.9570 | + | 47.6189i | −1.96854 | + | 2.34601i | ||||
\(413\) | −10.3562 | + | 13.5729i | −0.509594 | + | 0.667879i | ||||
\(414\) | 8.11023 | − | 7.02898i | 0.398596 | − | 0.345455i | ||||
\(415\) | 2.79813 | 0.137355 | ||||||||
\(416\) | −39.9335 | + | 14.5346i | −1.95790 | + | 0.712617i | ||||
\(417\) | −9.75901 | + | 17.2191i | −0.477901 | + | 0.843224i | ||||
\(418\) | 0.755532 | + | 0.900407i | 0.0369543 | + | 0.0440404i | ||||
\(419\) | 7.21684 | + | 2.62672i | 0.352566 | + | 0.128323i | 0.512231 | − | 0.858848i | \(-0.328819\pi\) |
−0.159665 | + | 0.987171i | \(0.551041\pi\) | |||||||
\(420\) | −8.09498 | + | 67.0270i | −0.394995 | + | 3.27058i | ||||
\(421\) | 6.15920 | − | 34.9305i | 0.300181 | − | 1.70241i | −0.345183 | − | 0.938535i | \(-0.612183\pi\) |
0.645364 | − | 0.763875i | \(-0.276706\pi\) | |||||||
\(422\) | 8.37399i | 0.407639i | ||||||||
\(423\) | 9.73424 | − | 17.4996i | 0.473295 | − | 0.850861i | ||||
\(424\) | −70.8916 | −3.44280 | ||||||||
\(425\) | 9.02157 | − | 3.28358i | 0.437610 | − | 0.159277i | ||||
\(426\) | −21.3298 | − | 25.0117i | −1.03343 | − | 1.21182i | ||||
\(427\) | −16.1783 | − | 25.2427i | −0.782923 | − | 1.22158i | ||||
\(428\) | −62.2114 | − | 74.1407i | −3.00710 | − | 3.58373i | ||||
\(429\) | 0.174673 | + | 0.468246i | 0.00843330 | + | 0.0226071i | ||||
\(430\) | −17.6508 | + | 21.0355i | −0.851200 | + | 1.01442i | ||||
\(431\) | 12.6881 | − | 7.32548i | 0.611164 | − | 0.352856i | −0.162257 | − | 0.986749i | \(-0.551877\pi\) |
0.773421 | + | 0.633893i | \(0.218544\pi\) | |||||||
\(432\) | −27.4623 | − | 70.1756i | −1.32128 | − | 3.37633i | ||||
\(433\) | 20.7962i | 0.999403i | 0.866198 | + | 0.499701i | \(0.166557\pi\) | ||||
−0.866198 | + | 0.499701i | \(0.833443\pi\) | |||||||
\(434\) | 9.13749 | − | 29.2583i | 0.438614 | − | 1.40445i | ||||
\(435\) | −27.4579 | + | 10.2428i | −1.31650 | + | 0.491106i | ||||
\(436\) | −8.92056 | − | 50.5910i | −0.427217 | − | 2.42287i | ||||
\(437\) | −3.06251 | + | 2.56975i | −0.146500 | + | 0.122928i | ||||
\(438\) | −19.6720 | + | 3.63087i | −0.939967 | + | 0.173490i | ||||
\(439\) | −8.96881 | − | 24.6416i | −0.428058 | − | 1.17608i | −0.946990 | − | 0.321263i | \(-0.895892\pi\) |
0.518932 | − | 0.854815i | \(-0.326330\pi\) | |||||||
\(440\) | 1.79451 | − | 3.10818i | 0.0855498 | − | 0.148177i | ||||
\(441\) | −8.46531 | + | 19.2182i | −0.403110 | + | 0.915152i | ||||
\(442\) | 11.0852 | + | 19.2002i | 0.527272 | + | 0.913261i | ||||
\(443\) | −0.0928329 | + | 0.110634i | −0.00441063 | + | 0.00525638i | −0.768245 | − | 0.640156i | \(-0.778870\pi\) |
0.763835 | + | 0.645412i | \(0.223314\pi\) | |||||||
\(444\) | −0.702521 | − | 87.9977i | −0.0333402 | − | 4.17619i | ||||
\(445\) | −2.44306 | − | 13.8553i | −0.115812 | − | 0.656804i | ||||
\(446\) | −37.1037 | + | 31.1337i | −1.75691 | + | 1.47422i | ||||
\(447\) | 19.8102 | − | 34.9537i | 0.936988 | − | 1.65325i | ||||
\(448\) | 49.9798 | + | 54.2457i | 2.36132 | + | 2.56287i | ||||
\(449\) | 15.6193 | − | 9.01783i | 0.737122 | − | 0.425578i | −0.0838999 | − | 0.996474i | \(-0.526738\pi\) |
0.821022 | + | 0.570897i | \(0.193404\pi\) | |||||||
\(450\) | 19.3549 | + | 3.09502i | 0.912398 | + | 0.145901i | ||||
\(451\) | − | 0.0457996i | − | 0.00215662i | ||||||
\(452\) | −8.38653 | − | 1.47877i | −0.394469 | − | 0.0695556i | ||||
\(453\) | −0.258820 | − | 0.303496i | −0.0121604 | − | 0.0142595i | ||||
\(454\) | 19.4001 | − | 3.42076i | 0.910492 | − | 0.160544i | ||||
\(455\) | 6.72535 | − | 13.0057i | 0.315289 | − | 0.609719i | ||||
\(456\) | 17.1393 | + | 45.9452i | 0.802621 | + | 2.15158i | ||||
\(457\) | −3.40011 | + | 19.2830i | −0.159050 | + | 0.902020i | 0.795938 | + | 0.605378i | \(0.206978\pi\) |
−0.954989 | + | 0.296642i | \(0.904133\pi\) | |||||||
\(458\) | −20.6860 | − | 35.8291i | −0.966591 | − | 1.67418i | ||||
\(459\) | −17.7531 | + | 10.8247i | −0.828643 | + | 0.505255i | ||||
\(460\) | 16.7609 | + | 9.67690i | 0.781480 | + | 0.451188i | ||||
\(461\) | −12.6847 | + | 4.61684i | −0.590784 | + | 0.215028i | −0.620074 | − | 0.784543i | \(-0.712898\pi\) |
0.0292902 | + | 0.999571i | \(0.490675\pi\) | |||||||
\(462\) | 1.29204 | − | 1.20965i | 0.0601111 | − | 0.0562778i | ||||
\(463\) | −6.46334 | + | 5.42339i | −0.300377 | + | 0.252046i | −0.780501 | − | 0.625154i | \(-0.785036\pi\) |
0.480124 | + | 0.877200i | \(0.340592\pi\) | |||||||
\(464\) | −30.8535 | + | 84.7693i | −1.43234 | + | 3.93531i | ||||
\(465\) | −18.8888 | − | 6.70468i | −0.875946 | − | 0.310922i | ||||
\(466\) | 5.85969 | − | 33.2319i | 0.271445 | − | 1.53944i | ||||
\(467\) | 6.97283 | + | 12.0773i | 0.322664 | + | 0.558870i | 0.981037 | − | 0.193822i | \(-0.0620883\pi\) |
−0.658373 | + | 0.752692i | \(0.728755\pi\) | |||||||
\(468\) | 0.527783 | + | 33.0529i | 0.0243968 | + | 1.52787i | ||||
\(469\) | −1.82778 | − | 4.37883i | −0.0843989 | − | 0.202196i | ||||
\(470\) | 48.6945 | + | 8.58616i | 2.24611 | + | 0.396050i | ||||
\(471\) | −8.40319 | + | 14.8269i | −0.387199 | + | 0.683186i | ||||
\(472\) | 59.1197 | − | 10.4244i | 2.72121 | − | 0.479822i | ||||
\(473\) | 0.517752 | − | 0.0912936i | 0.0238063 | − | 0.00419768i | ||||
\(474\) | 70.6475 | − | 0.564007i | 3.24495 | − | 0.0259057i | ||||
\(475\) | −7.19043 | − | 1.26787i | −0.329920 | − | 0.0581737i | ||||
\(476\) | 34.7837 | − | 45.5878i | 1.59431 | − | 2.08951i | ||||
\(477\) | −7.47478 | + | 21.6039i | −0.342247 | + | 0.989176i | ||||
\(478\) | −10.8453 | − | 18.7845i | −0.496051 | − | 0.859185i | ||||
\(479\) | −3.80300 | + | 21.5679i | −0.173764 | + | 0.985462i | 0.765798 | + | 0.643082i | \(0.222344\pi\) |
−0.939561 | + | 0.342381i | \(0.888767\pi\) | |||||||
\(480\) | 74.8813 | − | 63.8584i | 3.41785 | − | 2.91473i | ||||
\(481\) | −6.52732 | + | 17.9337i | −0.297620 | + | 0.817704i | ||||
\(482\) | −1.14392 | + | 0.959862i | −0.0521041 | + | 0.0437205i | ||||
\(483\) | 4.11431 | + | 4.39455i | 0.187207 | + | 0.199959i | ||||
\(484\) | 55.8826 | − | 20.3396i | 2.54012 | − | 0.924527i | ||||
\(485\) | 17.3630 | + | 10.0245i | 0.788411 | + | 0.455189i | ||||
\(486\) | −42.4177 | + | 1.69405i | −1.92411 | + | 0.0768438i | ||||
\(487\) | 4.85645 | + | 8.41162i | 0.220067 | + | 0.381167i | 0.954828 | − | 0.297159i | \(-0.0960392\pi\) |
−0.734761 | + | 0.678326i | \(0.762706\pi\) | |||||||
\(488\) | −18.3069 | + | 103.824i | −0.828715 | + | 4.69987i | ||||
\(489\) | −0.931337 | − | 0.156564i | −0.0421165 | − | 0.00708008i | ||||
\(490\) | −51.6803 | − | 4.23759i | −2.33468 | − | 0.191435i | ||||
\(491\) | 26.7581 | − | 4.71818i | 1.20758 | − | 0.212928i | 0.466606 | − | 0.884465i | \(-0.345477\pi\) |
0.740971 | + | 0.671537i | \(0.234366\pi\) | |||||||
\(492\) | 1.01337 | − | 2.85492i | 0.0456862 | − | 0.128710i | ||||
\(493\) | 24.5128 | + | 4.32226i | 1.10400 | + | 0.194665i | ||||
\(494\) | − | 16.8610i | − | 0.758611i | ||||||
\(495\) | −0.757994 | − | 0.874595i | −0.0340693 | − | 0.0393101i | ||||
\(496\) | −53.4314 | + | 30.8486i | −2.39914 | + | 1.38514i | ||||
\(497\) | 13.5601 | − | 12.4937i | 0.608253 | − | 0.560420i | ||||
\(498\) | −2.45950 | − | 4.18251i | −0.110213 | − | 0.187423i | ||||
\(499\) | −24.8714 | + | 20.8696i | −1.11340 | + | 0.934253i | −0.998252 | − | 0.0590959i | \(-0.981178\pi\) |
−0.115147 | + | 0.993349i | \(0.536734\pi\) | |||||||
\(500\) | −6.65374 | − | 37.7352i | −0.297564 | − | 1.68757i | ||||
\(501\) | −19.1091 | + | 11.2370i | −0.853731 | + | 0.502032i | ||||
\(502\) | 31.0405 | − | 36.9926i | 1.38540 | − | 1.65106i | ||||
\(503\) | −12.9131 | − | 22.3661i | −0.575764 | − | 0.997253i | −0.995958 | − | 0.0898189i | \(-0.971371\pi\) |
0.420194 | − | 0.907434i | \(-0.361962\pi\) | |||||||
\(504\) | 67.6805 | − | 29.5282i | 3.01473 | − | 1.31529i | ||||
\(505\) | 9.17002 | − | 15.8829i | 0.408060 | − | 0.706781i | ||||
\(506\) | −0.173531 | − | 0.476773i | −0.00771439 | − | 0.0211951i | ||||
\(507\) | −5.13388 | + | 14.4635i | −0.228004 | + | 0.642345i | ||||
\(508\) | 74.9928 | − | 62.9264i | 3.32727 | − | 2.79191i | ||||
\(509\) | 5.07095 | + | 28.7588i | 0.224766 | + | 1.27471i | 0.863132 | + | 0.504978i | \(0.168499\pi\) |
−0.638367 | + | 0.769733i | \(0.720390\pi\) | |||||||
\(510\) | −39.5928 | − | 32.6873i | −1.75320 | − | 1.44742i | ||||
\(511\) | −2.45848 | − | 10.9481i | −0.108757 | − | 0.484316i | ||||
\(512\) | − | 33.0926i | − | 1.46250i | ||||||
\(513\) | 15.8088 | − | 0.378688i | 0.697975 | − | 0.0167195i | ||||
\(514\) | −65.9842 | + | 38.0960i | −2.91044 | + | 1.68034i | ||||
\(515\) | −20.0674 | + | 23.9154i | −0.884276 | + | 1.05384i | ||||
\(516\) | 34.2940 | + | 5.76506i | 1.50971 | + | 0.253793i | ||||
\(517\) | −0.608510 | − | 0.725194i | −0.0267623 | − | 0.0318940i | ||||
\(518\) | 67.5156 | − | 3.13225i | 2.96646 | − | 0.137623i | ||||
\(519\) | −1.94850 | + | 5.48943i | −0.0855297 | + | 0.240959i | ||||
\(520\) | −48.3792 | + | 17.6086i | −2.12157 | + | 0.772188i | ||||
\(521\) | −2.87036 | −0.125753 | −0.0628763 | − | 0.998021i | \(-0.520027\pi\) | ||||
−0.0628763 | + | 0.998021i | \(0.520027\pi\) | |||||||
\(522\) | 39.4454 | + | 32.0395i | 1.72648 | + | 1.40233i | ||||
\(523\) | 7.76370i | 0.339483i | 0.985489 | + | 0.169742i | \(0.0542933\pi\) | ||||
−0.985489 | + | 0.169742i | \(0.945707\pi\) | |||||||
\(524\) | −5.15765 | + | 29.2505i | −0.225313 | + | 1.27781i | ||||
\(525\) | −1.31824 | + | 10.9151i | −0.0575326 | + | 0.476374i | ||||
\(526\) | 28.5509 | + | 10.3917i | 1.24488 | + | 0.453098i | ||||
\(527\) | 10.9426 | + | 13.0409i | 0.476668 | + | 0.568071i | ||||
\(528\) | −3.56243 | + | 0.0284403i | −0.155035 | + | 0.00123771i | ||||
\(529\) | −19.9913 | + | 7.27624i | −0.869187 | + | 0.316358i | ||||
\(530\) | −56.4477 | −2.45193 | ||||||||
\(531\) | 3.05676 | − | 19.1157i | 0.132652 | − | 0.829549i | ||||
\(532\) | −40.2445 | + | 16.7985i | −1.74482 | + | 0.728308i | ||||
\(533\) | −0.422306 | + | 0.503284i | −0.0182921 | + | 0.0217997i | ||||
\(534\) | −18.5628 | + | 15.8303i | −0.803292 | + | 0.685044i | ||||
\(535\) | −31.2442 | − | 37.2354i | −1.35080 | − | 1.60983i | ||||
\(536\) | −5.70648 | + | 15.6784i | −0.246482 | + | 0.677205i | ||||
\(537\) | 0.383001 | − | 2.27832i | 0.0165277 | − | 0.0983167i | ||||
\(538\) | 4.45020 | + | 12.2268i | 0.191862 | + | 0.527136i | ||||
\(539\) | 0.705817 | + | 0.698161i | 0.0304017 | + | 0.0300719i | ||||
\(540\) | −27.8981 | − | 71.2893i | −1.20054 | − | 3.06780i | ||||
\(541\) | 0.0411054 | − | 0.0711966i | 0.00176726 | − | 0.00306098i | −0.865140 | − | 0.501530i | \(-0.832771\pi\) |
0.866908 | + | 0.498469i | \(0.166104\pi\) | |||||||
\(542\) | 44.6289 | + | 37.4481i | 1.91697 | + | 1.60853i | ||||
\(543\) | 0.877569 | − | 5.22030i | 0.0376601 | − | 0.224025i | ||||
\(544\) | −82.3163 | + | 14.5146i | −3.52928 | + | 0.622307i | ||||
\(545\) | −4.48013 | − | 25.4081i | −0.191908 | − | 1.08836i | ||||
\(546\) | −25.3518 | + | 1.37905i | −1.08496 | + | 0.0590180i | ||||
\(547\) | 0.989409 | + | 0.830213i | 0.0423041 | + | 0.0354973i | 0.663695 | − | 0.748004i | \(-0.268987\pi\) |
−0.621390 | + | 0.783501i | \(0.713432\pi\) | |||||||
\(548\) | 19.6372 | − | 11.3375i | 0.838859 | − | 0.484315i | ||||
\(549\) | 29.7096 | + | 16.5261i | 1.26797 | + | 0.705316i | ||||
\(550\) | 0.463314 | − | 0.802484i | 0.0197558 | − | 0.0342180i | ||||
\(551\) | −14.5011 | − | 12.1679i | −0.617769 | − | 0.518370i | ||||
\(552\) | −0.168985 | − | 21.1670i | −0.00719246 | − | 0.900926i | ||||
\(553\) | 1.83652 | + | 39.5860i | 0.0780967 | + | 1.68337i | ||||
\(554\) | −11.5350 | + | 31.6921i | −0.490074 | + | 1.34647i | ||||
\(555\) | −0.352824 | − | 44.1947i | −0.0149766 | − | 1.87596i | ||||
\(556\) | 21.1680 | + | 58.1587i | 0.897725 | + | 2.46648i | ||||
\(557\) | 35.2510 | + | 20.3522i | 1.49363 | + | 0.862350i | 0.999973 | − | 0.00730507i | \(-0.00232530\pi\) |
0.493660 | + | 0.869655i | \(0.335659\pi\) | |||||||
\(558\) | 6.58104 | + | 34.1273i | 0.278598 | + | 1.44473i | ||||
\(559\) | −6.53128 | − | 3.77084i | −0.276244 | − | 0.159489i | ||||
\(560\) | 70.7227 | + | 76.7591i | 2.98858 | + | 3.24366i | ||||
\(561\) | 0.178417 | + | 0.966661i | 0.00753277 | + | 0.0408125i | ||||
\(562\) | 39.9603 | + | 14.5444i | 1.68563 | + | 0.613517i | ||||
\(563\) | 32.9305 | + | 11.9857i | 1.38786 | + | 0.505138i | 0.924550 | − | 0.381060i | \(-0.124441\pi\) |
0.463306 | + | 0.886198i | \(0.346663\pi\) | |||||||
\(564\) | −21.8857 | − | 58.6690i | −0.921555 | − | 2.47041i | ||||
\(565\) | −4.21193 | − | 0.742677i | −0.177197 | − | 0.0312447i | ||||
\(566\) | 62.2760 | 2.61765 | ||||||||
\(567\) | −1.86238 | − | 23.7388i | −0.0782128 | − | 0.996937i | ||||
\(568\) | −64.8337 | −2.72036 | ||||||||
\(569\) | −5.97075 | − | 1.05280i | −0.250307 | − | 0.0441359i | 0.0470868 | − | 0.998891i | \(-0.485006\pi\) |
−0.297394 | + | 0.954755i | \(0.596117\pi\) | |||||||
\(570\) | 13.6472 | + | 36.5841i | 0.571620 | + | 1.53234i | ||||
\(571\) | 7.29077 | + | 2.65362i | 0.305109 | + | 0.111051i | 0.490038 | − | 0.871701i | \(-0.336983\pi\) |
−0.184928 | + | 0.982752i | \(0.559205\pi\) | |||||||
\(572\) | 1.46853 | + | 0.534502i | 0.0614024 | + | 0.0223486i | ||||
\(573\) | 4.75712 | + | 25.7741i | 0.198732 | + | 1.07673i | ||||
\(574\) | 2.22095 | + | 0.693610i | 0.0927006 | + | 0.0289507i | ||||
\(575\) | 2.72945 | + | 1.57585i | 0.113826 | + | 0.0657173i | ||||
\(576\) | −79.0391 | − | 27.3468i | −3.29329 | − | 1.13945i | ||||
\(577\) | 24.3850 | + | 14.0787i | 1.01516 | + | 0.586104i | 0.912699 | − | 0.408633i | \(-0.133994\pi\) |
0.102463 | + | 0.994737i | \(0.467328\pi\) | |||||||
\(578\) | −0.919447 | − | 2.52616i | −0.0382440 | − | 0.105074i | ||||
\(579\) | −0.0660463 | − | 8.27295i | −0.00274479 | − | 0.343812i | ||||
\(580\) | −31.3431 | + | 86.1146i | −1.30145 | + | 3.57571i | ||||
\(581\) | 2.29138 | − | 1.46857i | 0.0950626 | − | 0.0609266i | ||||
\(582\) | −0.277540 | − | 34.7647i | −0.0115044 | − | 1.44104i | ||||
\(583\) | 0.827889 | + | 0.694681i | 0.0342876 | + | 0.0287707i | ||||
\(584\) | −19.7276 | + | 34.1691i | −0.816332 | + | 1.41393i | ||||
\(585\) | 0.265066 | + | 16.6000i | 0.0109591 | + | 0.686327i | ||||
\(586\) | 77.7615 | − | 44.8956i | 3.21230 | − | 1.85462i | ||||
\(587\) | 14.0329 | + | 11.7750i | 0.579200 | + | 0.486006i | 0.884684 | − | 0.466191i | \(-0.154374\pi\) |
−0.305484 | + | 0.952197i | \(0.598818\pi\) | |||||||
\(588\) | 28.5495 | + | 59.1368i | 1.17736 | + | 2.43876i | ||||
\(589\) | −2.24818 | − | 12.7501i | −0.0926347 | − | 0.525357i | ||||
\(590\) | 47.0743 | − | 8.30047i | 1.93802 | − | 0.341725i | ||||
\(591\) | −2.32950 | + | 13.8573i | −0.0958229 | + | 0.570011i | ||||
\(592\) | −104.215 | − | 87.4471i | −4.28323 | − | 3.59405i | ||||
\(593\) | −10.2123 | + | 17.6882i | −0.419367 | + | 0.726366i | −0.995876 | − | 0.0907255i | \(-0.971081\pi\) |
0.576509 | + | 0.817091i | \(0.304415\pi\) | |||||||
\(594\) | −0.641041 | + | 1.90176i | −0.0263022 | + | 0.0780304i | ||||
\(595\) | 17.4693 | − | 22.8954i | 0.716170 | − | 0.938619i | ||||
\(596\) | −42.9697 | − | 118.058i | −1.76011 | − | 4.83586i | ||||
\(597\) | −1.44762 | + | 8.61130i | −0.0592471 | + | 0.352437i | ||||
\(598\) | −2.48929 | + | 6.83925i | −0.101794 | + | 0.279678i | ||||
\(599\) | −19.6942 | − | 23.4706i | −0.804684 | − | 0.958985i | 0.195079 | − | 0.980788i | \(-0.437504\pi\) |
−0.999762 | + | 0.0218030i | \(0.993059\pi\) | |||||||
\(600\) | 29.4153 | − | 25.0853i | 1.20088 | − | 1.02410i | ||||
\(601\) | 2.11771 | − | 2.52379i | 0.0863832 | − | 0.102947i | −0.721122 | − | 0.692809i | \(-0.756373\pi\) |
0.807505 | + | 0.589861i | \(0.200818\pi\) | |||||||
\(602\) | −3.41399 | + | 26.4898i | −0.139144 | + | 1.07964i | ||||
\(603\) | 4.17625 | + | 3.39216i | 0.170070 | + | 0.138139i | ||||
\(604\) | −1.24728 | −0.0507511 | ||||||||
\(605\) | 28.0657 | − | 10.2151i | 1.14103 | − | 0.415301i | ||||
\(606\) | −31.8013 | + | 0.253883i | −1.29184 | + | 0.0103133i | ||||
\(607\) | −28.1092 | − | 33.4993i | −1.14092 | − | 1.35969i | −0.923492 | − | 0.383618i | \(-0.874678\pi\) |
−0.217427 | − | 0.976077i | \(-0.569766\pi\) | |||||||
\(608\) | 59.7348 | + | 21.7417i | 2.42256 | + | 0.881741i | ||||
\(609\) | −17.1094 | + | 22.7988i | −0.693306 | + | 0.923855i | ||||
\(610\) | −14.5769 | + | 82.6699i | −0.590203 | + | 3.34721i | ||||
\(611\) | 13.5799i | 0.549386i | ||||||||
\(612\) | −10.2669 | + | 64.2045i | −0.415014 | + | 2.59531i | ||||
\(613\) | −20.8813 | −0.843387 | −0.421694 | − | 0.906738i | \(-0.638564\pi\) | ||||
−0.421694 | + | 0.906738i | \(0.638564\pi\) | |||||||
\(614\) | 40.0564 | − | 14.5793i | 1.61654 | − | 0.588374i | ||||
\(615\) | 0.508940 | − | 1.43381i | 0.0205224 | − | 0.0578169i | ||||
\(616\) | −0.161778 | − | 3.48711i | −0.00651822 | − | 0.140500i | ||||
\(617\) | 13.6109 | + | 16.2208i | 0.547954 | + | 0.653026i | 0.966951 | − | 0.254961i | \(-0.0820627\pi\) |
−0.418997 | + | 0.907988i | \(0.637618\pi\) | |||||||
\(618\) | 53.3865 | + | 8.97464i | 2.14752 | + | 0.361013i | ||||
\(619\) | 2.45683 | − | 2.92793i | 0.0987483 | − | 0.117684i | −0.714407 | − | 0.699730i | \(-0.753303\pi\) |
0.813155 | + | 0.582047i | \(0.197748\pi\) | |||||||
\(620\) | −54.2794 | + | 31.3382i | −2.17991 | + | 1.25857i | ||||
\(621\) | −6.46837 | − | 2.18034i | −0.259567 | − | 0.0874940i | ||||
\(622\) | − | 72.4539i | − | 2.90514i | ||||||
\(623\) | −9.27243 | − | 10.0639i | −0.371492 | − | 0.403200i | ||||
\(624\) | 39.4092 | + | 32.5357i | 1.57763 | + | 1.30247i | ||||
\(625\) | −5.42474 | − | 30.7652i | −0.216990 | − | 1.23061i | ||||
\(626\) | 65.0910 | − | 54.6178i | 2.60156 | − | 2.18297i | ||||
\(627\) | 0.250070 | − | 0.704511i | 0.00998683 | − | 0.0281355i | ||||
\(628\) | 18.2272 | + | 50.0787i | 0.727343 | + | 1.99836i | ||||
\(629\) | −18.7688 | + | 32.5085i | −0.748360 | + | 1.29620i | ||||
\(630\) | 53.8909 | − | 23.5119i | 2.14706 | − | 0.936737i | ||||
\(631\) | −20.3234 | − | 35.2011i | −0.809061 | − | 1.40133i | −0.913515 | − | 0.406805i | \(-0.866643\pi\) |
0.104454 | − | 0.994530i | \(-0.466690\pi\) | |||||||
\(632\) | 89.5690 | − | 106.744i | 3.56286 | − | 4.24605i | ||||
\(633\) | 4.59107 | − | 2.69975i | 0.182478 | − | 0.107305i | ||||
\(634\) | 5.85363 | + | 33.1976i | 0.232478 | + | 1.31845i | ||||
\(635\) | 37.6633 | − | 31.6033i | 1.49462 | − | 1.25414i | ||||
\(636\) | 36.2358 | + | 61.6209i | 1.43684 | + | 2.44343i | ||||
\(637\) | −1.31856 | − | 14.1801i | −0.0522431 | − | 0.561837i | ||||
\(638\) | 2.08056 | − | 1.20121i | 0.0823703 | − | 0.0475565i | ||||
\(639\) | −6.83604 | + | 19.7578i | −0.270430 | + | 0.781608i | ||||
\(640\) | − | 92.8792i | − | 3.67137i | ||||||
\(641\) | 10.4719 | + | 1.84648i | 0.413616 | + | 0.0729316i | 0.376584 | − | 0.926383i | \(-0.377099\pi\) |
0.0370316 | + | 0.999314i | \(0.488210\pi\) | |||||||
\(642\) | −28.1946 | + | 79.4315i | −1.11275 | + | 3.13491i | ||||
\(643\) | −41.6989 | + | 7.35263i | −1.64444 | + | 0.289960i | −0.917796 | − | 0.397052i | \(-0.870033\pi\) |
−0.726646 | + | 0.687012i | \(0.758922\pi\) | |||||||
\(644\) | 18.8043 | − | 0.872388i | 0.740992 | − | 0.0343769i | ||||
\(645\) | 17.2233 | + | 2.89536i | 0.678168 | + | 0.114005i | ||||
\(646\) | 5.75885 | − | 32.6601i | 0.226579 | − | 1.28499i | ||||
\(647\) | −20.0622 | − | 34.7487i | −0.788726 | − | 1.36611i | −0.926748 | − | 0.375685i | \(-0.877408\pi\) |
0.138021 | − | 0.990429i | \(-0.455926\pi\) | |||||||
\(648\) | −51.7443 | + | 65.8253i | −2.03271 | + | 2.58586i | ||||
\(649\) | −0.792565 | − | 0.457588i | −0.0311109 | − | 0.0179619i | ||||
\(650\) | −12.4908 | + | 4.54627i | −0.489928 | + | 0.178319i | ||||
\(651\) | −18.9869 | + | 4.42314i | −0.744154 | + | 0.173357i | ||||
\(652\) | −2.26227 | + | 1.89827i | −0.0885974 | + | 0.0743420i | ||||
\(653\) | 7.62691 | − | 20.9548i | 0.298464 | − | 0.820023i | −0.696293 | − | 0.717758i | \(-0.745169\pi\) |
0.994757 | − | 0.102266i | \(-0.0326092\pi\) | |||||||
\(654\) | −34.0409 | + | 29.0299i | −1.33110 | + | 1.13516i | ||||
\(655\) | −2.59031 | + | 14.6904i | −0.101212 | + | 0.574000i | ||||
\(656\) | −2.34166 | − | 4.05588i | −0.0914266 | − | 0.158355i | ||||
\(657\) | 8.33284 | + | 9.61468i | 0.325095 | + | 0.375104i | ||||
\(658\) | 44.3822 | − | 18.5256i | 1.73020 | − | 0.722205i | ||||
\(659\) | −14.8769 | − | 2.62320i | −0.579522 | − | 0.102185i | −0.123800 | − | 0.992307i | \(-0.539508\pi\) |
−0.455723 | + | 0.890122i | \(0.650619\pi\) | |||||||
\(660\) | −3.61897 | + | 0.0288917i | −0.140868 | + | 0.00112461i | ||||
\(661\) | −19.6850 | + | 3.47099i | −0.765656 | + | 0.135006i | −0.542819 | − | 0.839850i | \(-0.682643\pi\) |
−0.222837 | + | 0.974856i | \(0.571532\pi\) | |||||||
\(662\) | −50.9900 | + | 8.99091i | −1.98178 | + | 0.349442i | ||||
\(663\) | 6.95273 | − | 12.2676i | 0.270021 | − | 0.476435i | ||||
\(664\) | −9.42449 | − | 1.66179i | −0.365741 | − | 0.0644900i | ||||
\(665\) | −20.2118 | + | 8.43664i | −0.783780 | + | 0.327159i | ||||
\(666\) | −65.7500 | + | 39.3737i | −2.54776 | + | 1.52570i | ||||
\(667\) | 4.08562 | + | 7.07651i | 0.158196 | + | 0.274003i | ||||
\(668\) | −12.0374 | + | 68.2674i | −0.465740 | + | 2.64134i | ||||
\(669\) | 29.0313 | + | 10.3048i | 1.12241 | + | 0.398407i | ||||
\(670\) | −4.54381 | + | 12.4840i | −0.175543 | + | 0.482299i | ||||
\(671\) | 1.23118 | − | 1.03308i | 0.0475292 | − | 0.0398818i | ||||
\(672\) | 27.8047 | − | 91.5943i | 1.07259 | − | 3.53332i | ||||
\(673\) | 38.6509 | − | 14.0678i | 1.48988 | − | 0.542273i | 0.536463 | − | 0.843924i | \(-0.319760\pi\) |
0.953418 | + | 0.301651i | \(0.0975377\pi\) | |||||||
\(674\) | −57.2443 | − | 33.0500i | −2.20497 | − | 1.27304i | ||||
\(675\) | −4.54310 | − | 11.6092i | −0.174864 | − | 0.446838i | ||||
\(676\) | 23.9962 | + | 41.5626i | 0.922930 | + | 1.59856i | ||||
\(677\) | 3.61587 | − | 20.5066i | 0.138969 | − | 0.788134i | −0.833044 | − | 0.553207i | \(-0.813404\pi\) |
0.972013 | − | 0.234927i | \(-0.0754850\pi\) | |||||||
\(678\) | 2.59209 | + | 6.94859i | 0.0995485 | + | 0.266859i | ||||
\(679\) | 19.4798 | − | 0.903726i | 0.747564 | − | 0.0346818i | ||||
\(680\) | −99.7258 | + | 17.5844i | −3.82431 | + | 0.674329i | ||||
\(681\) | −8.12997 | − | 9.53332i | −0.311541 | − | 0.365318i | ||||
\(682\) | 1.61813 | + | 0.285321i | 0.0619616 | + | 0.0109255i | ||||
\(683\) | − | 26.1374i | − | 1.00012i | −0.865991 | − | 0.500060i | \(-0.833311\pi\) | ||
0.865991 | − | 0.500060i | \(-0.166689\pi\) | |||||||
\(684\) | 31.1762 | − | 38.3826i | 1.19205 | − | 1.46760i | ||||
\(685\) | 9.86230 | − | 5.69400i | 0.376819 | − | 0.217557i | ||||
\(686\) | −44.5449 | + | 23.6537i | −1.70073 | + | 0.903103i | ||||
\(687\) | −12.9743 | + | 22.8923i | −0.495002 | + | 0.873397i | ||||
\(688\) | 41.1829 | − | 34.5565i | 1.57008 | − | 1.31746i | ||||
\(689\) | −2.69207 | − | 15.2675i | −0.102560 | − | 0.581644i | ||||
\(690\) | −0.134555 | − | 16.8543i | −0.00512240 | − | 0.641631i | ||||
\(691\) | 19.9455 | − | 23.7702i | 0.758764 | − | 0.904260i | −0.239005 | − | 0.971018i | \(-0.576821\pi\) |
0.997769 | + | 0.0667585i | \(0.0212657\pi\) | |||||||
\(692\) | 9.10745 | + | 15.7746i | 0.346213 | + | 0.599659i | ||||
\(693\) | −1.07974 | − | 0.318379i | −0.0410160 | − | 0.0120942i | ||||
\(694\) | 41.5058 | − | 71.8901i | 1.57554 | − | 2.72891i | ||||
\(695\) | 10.6311 | + | 29.2088i | 0.403262 | + | 1.10795i | ||||
\(696\) | 98.5651 | − | 18.1922i | 3.73610 | − | 0.689573i | ||||
\(697\) | −0.989912 | + | 0.830635i | −0.0374956 | + | 0.0314625i | ||||
\(698\) | −4.25287 | − | 24.1192i | −0.160974 | − | 0.912926i | ||||
\(699\) | −20.1087 | + | 7.50129i | −0.760579 | + | 0.283725i | ||||
\(700\) | 23.2957 | + | 25.2841i | 0.880495 | + | 0.955647i | ||||
\(701\) | 35.8873i | 1.35545i | 0.735317 | + | 0.677723i | \(0.237033\pi\) | ||||
−0.735317 | + | 0.677723i | \(0.762967\pi\) | |||||||
\(702\) | 24.5799 | − | 14.9873i | 0.927710 | − | 0.565660i | ||||
\(703\) | 24.7232 | − | 14.2739i | 0.932451 | − | 0.538351i | ||||
\(704\) | −2.54153 | + | 3.02887i | −0.0957873 | + | 0.114155i | ||||
\(705\) | −10.9916 | − | 29.4651i | −0.413967 | − | 1.10972i | ||||
\(706\) | 31.4134 | + | 37.4370i | 1.18226 | + | 1.40896i | ||||
\(707\) | −0.826692 | − | 17.8193i | −0.0310909 | − | 0.670164i | ||||
\(708\) | −39.2799 | − | 46.0601i | −1.47623 | − | 1.73105i | ||||
\(709\) | 47.5071 | − | 17.2912i | 1.78417 | − | 0.649384i | 0.784598 | − | 0.620004i | \(-0.212869\pi\) |
0.999568 | − | 0.0293794i | \(-0.00935309\pi\) | |||||||
\(710\) | −51.6241 | −1.93742 | ||||||||
\(711\) | −23.0857 | − | 38.5509i | −0.865783 | − | 1.44577i | ||||
\(712\) | 48.1175i | 1.80328i | ||||||||
\(713\) | −0.970447 | + | 5.50368i | −0.0363435 | + | 0.206114i | ||||
\(714\) | −49.5781 | − | 5.98764i | −1.85541 | − | 0.224082i | ||||
\(715\) | 0.737535 | + | 0.268441i | 0.0275822 | + | 0.0100391i | ||||
\(716\) | −4.64371 | − | 5.53416i | −0.173544 | − | 0.206821i | ||||
\(717\) | −6.80221 | + | 12.0020i | −0.254033 | + | 0.448224i | ||||
\(718\) | −69.1148 | + | 25.1557i | −2.57934 | + | 0.938804i | ||||
\(719\) | 41.8931 | 1.56235 | 0.781175 | − | 0.624312i | \(-0.214621\pi\) | ||||
0.781175 | + | 0.624312i | \(0.214621\pi\) | |||||||
\(720\) | −111.842 | − | 38.6965i | −4.16812 | − | 1.44213i | ||||
\(721\) | −3.88140 | + | 30.1165i | −0.144551 | + | 1.12160i | ||||
\(722\) | 17.0470 | − | 20.3158i | 0.634424 | − | 0.756077i | ||||
\(723\) | 0.895043 | + | 0.317700i | 0.0332870 | + | 0.0118154i | ||||
\(724\) | −10.6401 | − | 12.6804i | −0.395437 | − | 0.471264i | ||||
\(725\) | −5.10411 | + | 14.0234i | −0.189562 | + | 0.520817i | ||||
\(726\) | −39.9382 | − | 32.9724i | −1.48224 | − | 1.22372i | ||||
\(727\) | 4.61680 | + | 12.6846i | 0.171228 | + | 0.470444i | 0.995390 | − | 0.0959094i | \(-0.0305759\pi\) |
−0.824162 | + | 0.566354i | \(0.808354\pi\) | |||||||
\(728\) | −30.3760 | + | 39.8110i | −1.12581 | + | 1.47549i | ||||
\(729\) | 14.6041 | + | 22.7095i | 0.540893 | + | 0.841092i | ||||
\(730\) | −15.7081 | + | 27.2073i | −0.581384 | + | 1.00699i | ||||
\(731\) | −11.3633 | − | 9.53495i | −0.420287 | − | 0.352663i | ||||
\(732\) | 99.6038 | − | 37.1560i | 3.68146 | − | 1.37332i | ||||
\(733\) | −26.9369 | + | 4.74970i | −0.994936 | + | 0.175434i | −0.647333 | − | 0.762208i | \(-0.724116\pi\) |
−0.347603 | + | 0.937642i | \(0.613004\pi\) | |||||||
\(734\) | 7.59979 | + | 43.1006i | 0.280513 | + | 1.59087i | ||||
\(735\) | 14.3383 | + | 29.7000i | 0.528876 | + | 1.09550i | ||||
\(736\) | −21.0201 | − | 17.6380i | −0.774813 | − | 0.650145i | ||||
\(737\) | 0.220278 | − | 0.127177i | 0.00811404 | − | 0.00468464i | ||||
\(738\) | −2.59055 | + | 0.499555i | −0.0953593 | + | 0.0183889i | ||||
\(739\) | −8.53378 | + | 14.7809i | −0.313920 | + | 0.543726i | −0.979207 | − | 0.202862i | \(-0.934976\pi\) |
0.665287 | + | 0.746588i | \(0.268309\pi\) | |||||||
\(740\) | −105.869 | − | 88.8349i | −3.89183 | − | 3.26564i | ||||
\(741\) | −9.24408 | + | 5.43593i | −0.339590 | + | 0.199694i | ||||
\(742\) | −46.2249 | + | 29.6260i | −1.69697 | + | 1.08760i | ||||
\(743\) | 2.70067 | − | 7.42004i | 0.0990781 | − | 0.272215i | −0.880244 | − | 0.474521i | \(-0.842621\pi\) |
0.979322 | + | 0.202306i | \(0.0648436\pi\) | |||||||
\(744\) | 59.6382 | + | 33.8002i | 2.18644 | + | 1.23918i | ||||
\(745\) | −21.5805 | − | 59.2920i | −0.790649 | − | 2.17229i | ||||
\(746\) | −46.2081 | − | 26.6783i | −1.69180 | − | 0.976761i | ||||
\(747\) | −1.50014 | + | 2.69686i | −0.0548872 | + | 0.0986729i | ||||
\(748\) | 2.66202 | + | 1.53692i | 0.0973331 | + | 0.0561953i | ||||
\(749\) | −45.1284 | − | 14.0938i | −1.64896 | − | 0.514975i | ||||
\(750\) | −25.3907 | + | 21.6531i | −0.927137 | + | 0.790658i | ||||
\(751\) | 6.02030 | + | 2.19121i | 0.219684 | + | 0.0799584i | 0.449517 | − | 0.893272i | \(-0.351596\pi\) |
−0.229834 | + | 0.973230i | \(0.573818\pi\) | |||||||
\(752\) | −90.9659 | − | 33.1089i | −3.31719 | − | 1.20736i | ||||
\(753\) | −30.2886 | − | 5.09173i | −1.10378 | − | 0.185553i | ||||
\(754\) | −33.9390 | − | 5.98436i | −1.23599 | − | 0.217938i | ||||
\(755\) | −0.626416 | −0.0227976 | ||||||||
\(756\) | −60.2612 | − | 43.7366i | −2.19168 | − | 1.59069i | ||||
\(757\) | −31.0889 | −1.12994 | −0.564972 | − | 0.825110i | \(-0.691113\pi\) | ||||
−0.564972 | + | 0.825110i | \(0.691113\pi\) | |||||||
\(758\) | −10.7437 | − | 1.89441i | −0.390230 | − | 0.0688081i | ||||
\(759\) | −0.205446 | + | 0.248849i | −0.00745722 | + | 0.00903264i | ||||
\(760\) | 72.3684 | + | 26.3400i | 2.62508 | + | 0.955451i | ||||
\(761\) | 9.23274 | + | 3.36044i | 0.334687 | + | 0.121816i | 0.503896 | − | 0.863764i | \(-0.331899\pi\) |
−0.169210 | + | 0.985580i | \(0.554122\pi\) | |||||||
\(762\) | −80.3444 | − | 28.5187i | −2.91057 | − | 1.03312i | ||||
\(763\) | −17.0040 | − | 18.4553i | −0.615585 | − | 0.668126i | ||||
\(764\) | 70.9773 | + | 40.9788i | 2.56787 | + | 1.48256i | ||||
\(765\) | −5.15629 | + | 32.2451i | −0.186426 | + | 1.16583i | ||||
\(766\) | 49.9610 | + | 28.8450i | 1.80516 | + | 1.04221i | ||||
\(767\) | 4.49008 | + | 12.3364i | 0.162127 | + | 0.445441i | ||||
\(768\) | −55.5833 | + | 32.6854i | −2.00569 | + | 1.17943i | ||||
\(769\) | 7.53988 | − | 20.7157i | 0.271895 | − | 0.747026i | −0.726323 | − | 0.687354i | \(-0.758772\pi\) |
0.998218 | − | 0.0596720i | \(-0.0190055\pi\) | |||||||
\(770\) | −0.128816 | − | 2.77663i | −0.00464221 | − | 0.100063i | ||||
\(771\) | 42.1594 | + | 23.8940i | 1.51833 | + | 0.860522i | ||||
\(772\) | −19.8180 | − | 16.6293i | −0.713266 | − | 0.598501i | ||||
\(773\) | −4.62590 | + | 8.01229i | −0.166382 | + | 0.288182i | −0.937145 | − | 0.348940i | \(-0.886542\pi\) |
0.770763 | + | 0.637122i | \(0.219875\pi\) | |||||||
\(774\) | −10.8111 | − | 28.2896i | −0.388598 | − | 1.01685i | ||||
\(775\) | −8.83919 | + | 5.10331i | −0.317513 | + | 0.183316i | ||||
\(776\) | −52.5274 | − | 44.0757i | −1.88562 | − | 1.58222i | ||||
\(777\) | −23.4841 | − | 36.0058i | −0.842487 | − | 1.29170i | ||||
\(778\) | −8.45840 | − | 47.9700i | −0.303248 | − | 1.71981i | ||||
\(779\) | 0.967835 | − | 0.170655i | 0.0346763 | − | 0.00611436i | ||||
\(780\) | 40.0346 | + | 33.0520i | 1.43347 | + | 1.18345i | ||||
\(781\) | 0.757144 | + | 0.635319i | 0.0270927 | + | 0.0227335i | ||||
\(782\) | −7.15774 | + | 12.3976i | −0.255960 | + | 0.443336i | ||||
\(783\) | 4.84867 | − | 31.9555i | 0.173277 | − | 1.14200i | ||||
\(784\) | 98.2009 | + | 25.7397i | 3.50718 | + | 0.919276i | ||||
\(785\) | 9.15415 | + | 25.1508i | 0.326726 | + | 0.897671i | ||||
\(786\) | 24.2353 | − | 9.04067i | 0.864444 | − | 0.322470i | ||||
\(787\) | 0.471591 | − | 1.29569i | 0.0168104 | − | 0.0461862i | −0.931004 | − | 0.365010i | \(-0.881066\pi\) |
0.947814 | + | 0.318824i | \(0.103288\pi\) | |||||||
\(788\) | 28.2441 | + | 33.6601i | 1.00616 | + | 1.19909i | ||||
\(789\) | −3.50745 | − | 19.0033i | −0.124869 | − | 0.676537i | ||||
\(790\) | 71.3196 | − | 84.9954i | 2.53744 | − | 3.02400i | ||||
\(791\) | −3.83893 | + | 1.60241i | −0.136497 | + | 0.0569753i | ||||
\(792\) | 2.03361 | + | 3.39592i | 0.0722612 | + | 0.120669i | ||||
\(793\) | −23.0550 | −0.818708 | ||||||||
\(794\) | 41.2773 | − | 15.0237i | 1.46488 | − | 0.533172i | ||||
\(795\) | 18.1986 | + | 30.9476i | 0.645436 | + | 1.09760i | ||||
\(796\) | 17.5517 | + | 20.9173i | 0.622105 | + | 0.741395i | ||||
\(797\) | 13.4666 | + | 4.90146i | 0.477013 | + | 0.173619i | 0.569327 | − | 0.822111i | \(-0.307204\pi\) |
−0.0923136 | + | 0.995730i | \(0.529426\pi\) | |||||||
\(798\) | 30.3765 | + | 22.7960i | 1.07532 | + | 0.806970i | ||||
\(799\) | −4.63822 | + | 26.3047i | −0.164088 | + | 0.930592i | ||||
\(800\) | − | 50.1143i | − | 1.77181i | ||||||
\(801\) | 14.6636 | + | 5.07349i | 0.518113 | + | 0.179263i | ||||
\(802\) | −8.10707 | −0.286271 | ||||||||
\(803\) | 0.565214 | − | 0.205721i | 0.0199460 | − | 0.00725973i | ||||
\(804\) | 16.5450 | − | 3.05371i | 0.583496 | − | 0.107696i | ||||
\(805\) | 9.44399 | − | 0.438136i | 0.332857 | − | 0.0154423i | ||||
\(806\) | −15.1505 | − | 18.0557i | −0.533655 | − | 0.635986i | ||||
\(807\) | 5.26866 | − | 6.38173i | 0.185466 | − | 0.224647i | ||||
\(808\) | −40.3187 | + | 48.0499i | −1.41841 | + | 1.69039i | ||||
\(809\) | 25.1012 | − | 14.4922i | 0.882512 | − | 0.509519i | 0.0110264 | − | 0.999939i | \(-0.496490\pi\) |
0.871486 | + | 0.490420i | \(0.163157\pi\) | |||||||
\(810\) | −41.2016 | + | 52.4136i | −1.44768 | + | 1.84163i | ||||
\(811\) | 16.8829i | 0.592840i | 0.955058 | + | 0.296420i | \(0.0957928\pi\) | ||||
−0.955058 | + | 0.296420i | \(0.904207\pi\) | |||||||
\(812\) | 19.5295 | + | 86.9692i | 0.685353 | + | 3.05202i | ||||
\(813\) | 6.14280 | − | 36.5411i | 0.215438 | − | 1.28155i | ||||
\(814\) | 0.629138 | + | 3.56802i | 0.0220513 | + | 0.125059i | ||||
\(815\) | −1.13617 | + | 0.953360i | −0.0397983 | + | 0.0333948i | ||||
\(816\) | 65.2239 | + | 76.4825i | 2.28329 | + | 2.67742i | ||||
\(817\) | 3.85842 | + | 10.6009i | 0.134989 | + | 0.370879i | ||||
\(818\) | 31.4035 | − | 54.3924i | 1.09800 | − | 1.90179i | ||||
\(819\) | 8.92942 | + | 13.4546i | 0.312019 | + | 0.470142i | ||||
\(820\) | −2.37883 | − | 4.12025i | −0.0830722 | − | 0.143885i | ||||
\(821\) | 2.60378 | − | 3.10306i | 0.0908725 | − | 0.108298i | −0.718692 | − | 0.695329i | \(-0.755259\pi\) |
0.809564 | + | 0.587031i | \(0.199703\pi\) | |||||||
\(822\) | −17.1799 | − | 9.73678i | −0.599217 | − | 0.339609i | ||||
\(823\) | −2.15078 | − | 12.1977i | −0.0749715 | − | 0.425184i | −0.999073 | − | 0.0430383i | \(-0.986296\pi\) |
0.924102 | − | 0.382146i | \(-0.124815\pi\) | |||||||
\(824\) | 81.7931 | − | 68.6325i | 2.84940 | − | 2.39093i | ||||
\(825\) | −0.589335 | + | 0.00470490i | −0.0205180 | + | 0.000163804i | ||||
\(826\) | 34.1926 | − | 31.5037i | 1.18971 | − | 1.09615i | ||||
\(827\) | −5.99133 | + | 3.45910i | −0.208339 | + | 0.120285i | −0.600539 | − | 0.799595i | \(-0.705047\pi\) |
0.392200 | + | 0.919880i | \(0.371714\pi\) | |||||||
\(828\) | −18.3125 | + | 10.9663i | −0.636405 | + | 0.381104i | ||||
\(829\) | 53.3178i | 1.85180i | 0.377765 | + | 0.925901i | \(0.376693\pi\) | ||||
−0.377765 | + | 0.925901i | \(0.623307\pi\) | |||||||
\(830\) | −7.50429 | − | 1.32321i | −0.260478 | − | 0.0459292i | ||||
\(831\) | 21.0941 | − | 3.89334i | 0.731747 | − | 0.135059i | ||||
\(832\) | 55.8568 | − | 9.84906i | 1.93649 | − | 0.341455i | ||||
\(833\) | 2.28914 | − | 27.9175i | 0.0793139 | − | 0.967286i | ||||
\(834\) | 34.3154 | − | 41.5649i | 1.18824 | − | 1.43927i | ||||
\(835\) | −6.04548 | + | 34.2856i | −0.209213 | + | 1.18650i | ||||
\(836\) | −1.16885 | − | 2.02450i | −0.0404254 | − | 0.0700189i | ||||
\(837\) | 16.5887 | − | 14.6106i | 0.573390 | − | 0.505017i | ||||
\(838\) | −18.1127 | − | 10.4573i | −0.625691 | − | 0.361243i | ||||
\(839\) | −40.8924 | + | 14.8836i | −1.41176 | + | 0.513840i | −0.931647 | − | 0.363365i | \(-0.881628\pi\) |
−0.480116 | + | 0.877205i | \(0.659406\pi\) | |||||||
\(840\) | 33.6852 | − | 110.966i | 1.16225 | − | 3.82869i | ||||
\(841\) | −7.42395 | + | 6.22943i | −0.255998 | + | 0.214808i | ||||
\(842\) | −33.0366 | + | 90.7674i | −1.13852 | + | 3.12805i | ||||
\(843\) | −4.90909 | − | 26.5974i | −0.169078 | − | 0.916064i | ||||
\(844\) | 2.89205 | − | 16.4016i | 0.0995484 | − | 0.564567i | ||||
\(845\) | 12.0515 | + | 20.8738i | 0.414584 | + | 0.718081i | ||||
\(846\) | −34.3816 | + | 42.3289i | −1.18206 | + | 1.45530i | ||||
\(847\) | 17.6216 | − | 23.0951i | 0.605487 | − | 0.793556i | ||||
\(848\) | 108.833 | + | 19.1902i | 3.73735 | + | 0.658996i | ||||
\(849\) | −20.0776 | − | 34.1430i | −0.689061 | − | 1.17178i | ||||
\(850\) | −25.7477 | + | 4.54001i | −0.883137 | + | 0.155721i | ||||
\(851\) | −12.1357 | + | 2.13985i | −0.416007 | + | 0.0733532i | ||||
\(852\) | 33.1394 | + | 56.3553i | 1.13534 | + | 1.93070i | ||||
\(853\) | −52.2783 | − | 9.21807i | −1.78997 | − | 0.315621i | −0.822533 | − | 0.568718i | \(-0.807440\pi\) |
−0.967441 | + | 0.253097i | \(0.918551\pi\) | |||||||
\(854\) | 31.4515 | + | 75.3488i | 1.07625 | + | 2.57838i | ||||
\(855\) | 15.6575 | − | 19.2767i | 0.535475 | − | 0.659250i | ||||
\(856\) | 83.1209 | + | 143.970i | 2.84101 | + | 4.92078i | ||||
\(857\) | 6.95408 | − | 39.4386i | 0.237547 | − | 1.34720i | −0.599636 | − | 0.800273i | \(-0.704688\pi\) |
0.837183 | − | 0.546923i | \(-0.184201\pi\) | |||||||
\(858\) | −0.247026 | − | 1.33839i | −0.00843333 | − | 0.0456917i | ||||
\(859\) | 3.46257 | − | 9.51334i | 0.118141 | − | 0.324591i | −0.866501 | − | 0.499176i | \(-0.833636\pi\) |
0.984642 | + | 0.174585i | \(0.0558584\pi\) | |||||||
\(860\) | 41.8364 | − | 35.1049i | 1.42661 | − | 1.19707i | ||||
\(861\) | −0.335753 | − | 1.44126i | −0.0114424 | − | 0.0491180i | ||||
\(862\) | −37.4923 | + | 13.6461i | −1.27699 | + | 0.464787i | ||||
\(863\) | 26.6005 | + | 15.3578i | 0.905490 | + | 0.522785i | 0.878977 | − | 0.476863i | \(-0.158226\pi\) |
0.0265129 | + | 0.999648i | \(0.491560\pi\) | |||||||
\(864\) | 21.4017 | + | 106.407i | 0.728102 | + | 3.62004i | ||||
\(865\) | 4.57400 | + | 7.92240i | 0.155521 | + | 0.269370i | ||||
\(866\) | 9.83433 | − | 55.7732i | 0.334184 | − | 1.89525i | ||||
\(867\) | −1.08855 | + | 1.31852i | −0.0369690 | + | 0.0447792i | ||||
\(868\) | −28.0017 | + | 54.1508i | −0.950440 | + | 1.83800i | ||||
\(869\) | −2.09202 | + | 0.368879i | −0.0709668 | + | 0.0125134i | ||||
\(870\) | 78.4828 | − | 14.4856i | 2.66082 | − | 0.491108i | ||||
\(871\) | −3.59326 | − | 0.633590i | −0.121753 | − | 0.0214684i | ||||
\(872\) | 88.2387i | 2.98814i | ||||||||
\(873\) | −18.9704 | + | 11.3602i | −0.642049 | + | 0.384484i | ||||
\(874\) | 9.42853 | − | 5.44356i | 0.318925 | − | 0.184131i | ||||
\(875\) | −12.6831 | − | 13.7656i | −0.428765 | − | 0.465362i | ||||
\(876\) | 39.7844 | − | 0.317615i | 1.34419 | − | 0.0107312i | ||||
\(877\) | −18.2996 | + | 15.3552i | −0.617935 | + | 0.518509i | −0.897154 | − | 0.441718i | \(-0.854369\pi\) |
0.279219 | + | 0.960228i | \(0.409925\pi\) | |||||||
\(878\) | 12.4006 | + | 70.3274i | 0.418500 | + | 2.37343i | ||||
\(879\) | −49.6843 | − | 28.1588i | −1.67581 | − | 0.949772i | ||||
\(880\) | −3.59632 | + | 4.28593i | −0.121232 | + | 0.144479i | ||||
\(881\) | 1.24040 | + | 2.14844i | 0.0417902 | + | 0.0723828i | 0.886164 | − | 0.463372i | \(-0.153361\pi\) |
−0.844374 | + | 0.535755i | \(0.820027\pi\) | |||||||
\(882\) | 31.7911 | − | 47.5379i | 1.07046 | − | 1.60069i | ||||
\(883\) | −17.2245 | + | 29.8337i | −0.579650 | + | 1.00398i | 0.415870 | + | 0.909424i | \(0.363477\pi\) |
−0.995519 | + | 0.0945585i | \(0.969856\pi\) | |||||||
\(884\) | −15.0810 | − | 41.4347i | −0.507229 | − | 1.39360i | ||||
\(885\) | −19.7274 | − | 23.1326i | −0.663128 | − | 0.777593i | ||||
\(886\) | 0.301286 | − | 0.252809i | 0.0101219 | − | 0.00849327i | ||||
\(887\) | −2.84453 | − | 16.1321i | −0.0955099 | − | 0.541664i | −0.994590 | − | 0.103879i | \(-0.966874\pi\) |
0.899080 | − | 0.437784i | \(-0.144237\pi\) | |||||||
\(888\) | −25.0586 | + | 149.063i | −0.840911 | + | 5.00224i | ||||
\(889\) | 14.2557 | − | 45.6471i | 0.478122 | − | 1.53095i | ||||
\(890\) | 38.3137i | 1.28428i | ||||||||
\(891\) | 1.24932 | − | 0.261670i | 0.0418537 | − | 0.00876629i | ||||
\(892\) | 83.4251 | − | 48.1655i | 2.79328 | − | 1.61270i | ||||
\(893\) | 13.0574 | − | 15.5612i | 0.436948 | − | 0.520735i | ||||
\(894\) | −69.6580 | + | 84.3740i | −2.32971 | + | 2.82189i | ||||
\(895\) | −2.33219 | − | 2.77940i | −0.0779566 | − | 0.0929050i | ||||
\(896\) | −48.7467 | − | 76.0586i | −1.62851 | − | 2.54094i | ||||
\(897\) | 4.55218 | − | 0.840197i | 0.151993 | − | 0.0280534i | ||||
\(898\) | −46.1538 | + | 16.7986i | −1.54017 | + | 0.560577i | ||||
\(899\) | −26.4622 | −0.882564 | ||||||||
\(900\) | −36.8403 | − | 12.7464i | −1.22801 | − | 0.424881i | ||||
\(901\) | − | 30.4929i | − | 1.01587i | ||||||
\(902\) | −0.0216582 | + | 0.122830i | −0.000721139 | + | 0.00408978i | ||||
\(903\) | 15.6238 | − | 6.66849i | 0.519926 | − | 0.221913i | ||||
\(904\) | 13.7453 | + | 5.00288i | 0.457162 | + | 0.166393i | ||||
\(905\) | −5.34375 | − | 6.36843i | −0.177632 | − | 0.211694i | ||||
\(906\) | 0.550608 | + | 0.936338i | 0.0182927 | + | 0.0311077i | ||||
\(907\) | 31.8395 | − | 11.5886i | 1.05721 | − | 0.384794i | 0.245832 | − | 0.969312i | \(-0.420939\pi\) |
0.811380 | + | 0.584519i | \(0.198717\pi\) | |||||||
\(908\) | −39.1792 | −1.30021 | ||||||||
\(909\) | 10.3918 | + | 17.3533i | 0.344676 | + | 0.575573i | ||||
\(910\) | −24.1870 | + | 31.6997i | −0.801790 | + | 1.05083i | ||||
\(911\) | −4.91968 | + | 5.86305i | −0.162996 | + | 0.194251i | −0.841360 | − | 0.540474i | \(-0.818245\pi\) |
0.678364 | + | 0.734726i | \(0.262689\pi\) | |||||||
\(912\) | −13.8751 | − | 75.1751i | −0.459450 | − | 2.48930i | ||||
\(913\) | 0.0937772 | + | 0.111759i | 0.00310357 | + | 0.00369869i | ||||
\(914\) | 18.2375 | − | 50.1070i | 0.603242 | − | 1.65739i | ||||
\(915\) | 50.0236 | − | 18.6607i | 1.65373 | − | 0.616903i | ||||
\(916\) | 28.1423 | + | 77.3204i | 0.929848 | + | 2.55474i | ||||
\(917\) | 5.58889 | + | 13.3894i | 0.184561 | + | 0.442157i | ||||
\(918\) | 52.7308 | − | 20.6355i | 1.74038 | − | 0.681072i | ||||
\(919\) | 9.69700 | − | 16.7957i | 0.319874 | − | 0.554039i | −0.660587 | − | 0.750749i | \(-0.729693\pi\) |
0.980462 | + | 0.196711i | \(0.0630260\pi\) | |||||||
\(920\) | −25.4658 | − | 21.3684i | −0.839583 | − | 0.704494i | ||||
\(921\) | −20.9072 | − | 17.2607i | −0.688916 | − | 0.568759i | ||||
\(922\) | 36.2022 | − | 6.38342i | 1.19226 | − | 0.210227i | ||||
\(923\) | −2.46202 | − | 13.9628i | −0.0810385 | − | 0.459592i | ||||
\(924\) | −2.94840 | + | 1.92304i | −0.0969954 | + | 0.0632634i | ||||
\(925\) | −17.2404 | − | 14.4664i | −0.566861 | − | 0.475653i | ||||
\(926\) | 19.8987 | − | 11.4885i | 0.653910 | − | 0.377535i | ||||
\(927\) | −12.2913 | − | 32.1627i | −0.403698 | − | 1.05636i | ||||
\(928\) | 64.9645 | − | 112.522i | 2.13257 | − | 3.69371i | ||||
\(929\) | −8.05873 | − | 6.76208i | −0.264398 | − | 0.221857i | 0.500944 | − | 0.865479i | \(-0.332986\pi\) |
−0.765343 | + | 0.643623i | \(0.777431\pi\) | |||||||
\(930\) | 47.4871 | + | 26.9135i | 1.55716 | + | 0.882530i | ||||
\(931\) | −12.1235 | + | 17.5167i | −0.397332 | + | 0.574087i | ||||
\(932\) | −22.9540 | + | 63.0656i | −0.751884 | + | 2.06578i | ||||
\(933\) | −39.7231 | + | 23.3589i | −1.30048 | + | 0.764737i | ||||
\(934\) | −12.9891 | − | 35.6874i | −0.425018 | − | 1.16773i | ||||
\(935\) | 1.33693 | + | 0.771880i | 0.0437224 | + | 0.0252432i | ||||
\(936\) | 8.96587 | − | 56.0686i | 0.293059 | − | 1.83266i | ||||
\(937\) | 42.2539 | + | 24.3953i | 1.38038 | + | 0.796960i | 0.992204 | − | 0.124627i | \(-0.0397733\pi\) |
0.388172 | + | 0.921587i | \(0.373107\pi\) | |||||||
\(938\) | 2.83119 | + | 12.6079i | 0.0924417 | + | 0.411663i | ||||
\(939\) | −50.9295 | − | 18.0777i | −1.66202 | − | 0.589944i | ||||
\(940\) | −92.4096 | − | 33.6343i | −3.01407 | − | 1.09703i | ||||
\(941\) | 1.76308 | + | 0.641710i | 0.0574749 | + | 0.0209192i | 0.370598 | − | 0.928794i | \(-0.379153\pi\) |
−0.313123 | + | 0.949713i | \(0.601375\pi\) | |||||||
\(942\) | 29.5479 | − | 35.7903i | 0.962724 | − | 1.16611i | ||||
\(943\) | −0.417774 | − | 0.0736649i | −0.0136046 | − | 0.00239886i | ||||
\(944\) | −93.5830 | −3.04587 | ||||||||
\(945\) | −30.2647 | − | 21.9657i | −0.984512 | − | 0.714543i | ||||
\(946\) | −1.43173 | −0.0465494 | ||||||||
\(947\) | −50.0909 | − | 8.83238i | −1.62774 | − | 0.287014i | −0.716095 | − | 0.698002i | \(-0.754072\pi\) |
−0.911640 | + | 0.410989i | \(0.865184\pi\) | |||||||
\(948\) | −138.568 | − | 23.2942i | −4.50047 | − | 0.756560i | ||||
\(949\) | −8.10793 | − | 2.95105i | −0.263195 | − | 0.0957950i | ||||
\(950\) | 18.6844 | + | 6.80057i | 0.606202 | + | 0.220640i | ||||
\(951\) | 16.3135 | − | 13.9121i | 0.529001 | − | 0.451130i | ||||
\(952\) | −72.4363 | + | 66.7399i | −2.34767 | + | 2.16305i | ||||
\(953\) | −42.4743 | − | 24.5225i | −1.37588 | − | 0.794363i | −0.384216 | − | 0.923243i | \(-0.625528\pi\) |
−0.991660 | + | 0.128880i | \(0.958862\pi\) | |||||||
\(954\) | 30.2628 | − | 54.4047i | 0.979796 | − | 1.76142i | ||||
\(955\) | 35.6466 | + | 20.5806i | 1.15350 | + | 0.665973i | ||||
\(956\) | 14.7545 | + | 40.5377i | 0.477195 | + | 1.31108i | ||||
\(957\) | −1.32934 | − | 0.753407i | −0.0429713 | − | 0.0243542i | ||||
\(958\) | 20.3985 | − | 56.0444i | 0.659045 | − | 1.81071i | ||||
\(959\) | 5.08778 | − | 9.83893i | 0.164293 | − | 0.317716i | ||||
\(960\) | −113.223 | + | 66.5803i | −3.65427 | + | 2.14887i | ||||
\(961\) | 9.88323 | + | 8.29301i | 0.318814 | + | 0.267517i | ||||
\(962\) | 25.9862 | − | 45.0094i | 0.837829 | − | 1.45116i | ||||
\(963\) | 52.6384 | − | 10.1507i | 1.69625 | − | 0.327101i | ||||
\(964\) | 2.57202 | − | 1.48496i | 0.0828393 | − | 0.0478273i | ||||
\(965\) | −9.95312 | − | 8.35166i | −0.320402 | − | 0.268849i | ||||
\(966\) | −8.95599 | − | 13.7313i | −0.288154 | − | 0.441798i | ||||
\(967\) | 9.57744 | + | 54.3164i | 0.307990 | + | 1.74670i | 0.609088 | + | 0.793103i | \(0.291536\pi\) |
−0.301098 | + | 0.953593i | \(0.597353\pi\) | |||||||
\(968\) | −100.596 | + | 17.7377i | −3.23327 | + | 0.570113i | ||||
\(969\) | −19.7626 | + | 7.37220i | −0.634867 | + | 0.236829i | ||||
\(970\) | −41.8251 | − | 35.0954i | −1.34292 | − | 1.12685i | ||||
\(971\) | −10.1506 | + | 17.5814i | −0.325749 | + | 0.564214i | −0.981664 | − | 0.190621i | \(-0.938950\pi\) |
0.655915 | + | 0.754835i | \(0.272283\pi\) | |||||||
\(972\) | 83.6660 | + | 11.3314i | 2.68359 | + | 0.363454i | ||||
\(973\) | 24.0358 | + | 18.3394i | 0.770552 | + | 0.587934i | ||||
\(974\) | −9.04671 | − | 24.8556i | −0.289875 | − | 0.796426i | ||||
\(975\) | 6.51949 | + | 5.38240i | 0.208791 | + | 0.172375i | ||||
\(976\) | 56.2098 | − | 154.435i | 1.79923 | − | 4.94335i | ||||
\(977\) | 14.5379 | + | 17.3256i | 0.465108 | + | 0.554294i | 0.946706 | − | 0.322098i | \(-0.104388\pi\) |
−0.481598 | + | 0.876392i | \(0.659944\pi\) | |||||||
\(978\) | 2.42371 | + | 0.860309i | 0.0775017 | + | 0.0275096i | ||||
\(979\) | 0.471513 | − | 0.561927i | 0.0150696 | − | 0.0179593i | ||||
\(980\) | 99.7594 | + | 26.1482i | 3.18670 | + | 0.835275i | ||||
\(981\) | 26.8904 | + | 9.30386i | 0.858545 | + | 0.297049i | ||||
\(982\) | −73.9936 | −2.36123 | ||||||||
\(983\) | 9.86200 | − | 3.58948i | 0.314549 | − | 0.114487i | −0.179921 | − | 0.983681i | \(-0.557584\pi\) |
0.494470 | + | 0.869195i | \(0.335362\pi\) | |||||||
\(984\) | −2.56571 | + | 4.52703i | −0.0817920 | + | 0.144316i | ||||
\(985\) | 14.1849 | + | 16.9049i | 0.451970 | + | 0.538636i | ||||
\(986\) | −63.6966 | − | 23.1837i | −2.02851 | − | 0.738319i | ||||
\(987\) | −24.4654 | − | 18.3601i | −0.778743 | − | 0.584407i | ||||
\(988\) | −5.82312 | + | 33.0245i | −0.185258 | + | 1.05065i | ||||
\(989\) | − | 4.86966i | − | 0.154846i | ||||||
\(990\) | 1.61927 | + | 2.70402i | 0.0514638 | + | 0.0859393i | ||||
\(991\) | −1.56002 | −0.0495557 | −0.0247779 | − | 0.999693i | \(-0.507888\pi\) | ||||
−0.0247779 | + | 0.999693i | \(0.507888\pi\) | |||||||
\(992\) | 83.5036 | − | 30.3928i | 2.65124 | − | 0.964973i | ||||
\(993\) | 21.3683 | + | 25.0568i | 0.678103 | + | 0.795153i | ||||
\(994\) | −42.2749 | + | 27.0944i | −1.34088 | + | 0.859382i | ||||
\(995\) | 8.81493 | + | 10.5052i | 0.279452 | + | 0.333038i | ||||
\(996\) | 3.37280 | + | 9.04144i | 0.106871 | + | 0.286489i | ||||
\(997\) | 19.9910 | − | 23.8243i | 0.633121 | − | 0.754524i | −0.350146 | − | 0.936695i | \(-0.613868\pi\) |
0.983267 | + | 0.182171i | \(0.0583125\pi\) | |||||||
\(998\) | 76.5716 | − | 44.2086i | 2.42383 | − | 1.39940i | ||||
\(999\) | 42.7843 | + | 23.3537i | 1.35364 | + | 0.738878i |
(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 | 189.2.bd.a.47.1 | yes | 132 | |
3.2 | odd | 2 | 567.2.bd.a.467.22 | 132 | |||
7.3 | odd | 6 | 189.2.ba.a.101.22 | ✓ | 132 | ||
21.17 | even | 6 | 567.2.ba.a.143.1 | 132 | |||
27.4 | even | 9 | 567.2.ba.a.341.1 | 132 | |||
27.23 | odd | 18 | 189.2.ba.a.131.22 | yes | 132 | ||
189.31 | odd | 18 | 567.2.bd.a.17.22 | 132 | |||
189.185 | even | 18 | inner | 189.2.bd.a.185.1 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.22 | ✓ | 132 | 7.3 | odd | 6 | ||
189.2.ba.a.131.22 | yes | 132 | 27.23 | odd | 18 | ||
189.2.bd.a.47.1 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.bd.a.185.1 | yes | 132 | 189.185 | even | 18 | inner | |
567.2.ba.a.143.1 | 132 | 21.17 | even | 6 | |||
567.2.ba.a.341.1 | 132 | 27.4 | even | 9 | |||
567.2.bd.a.17.22 | 132 | 189.31 | odd | 18 | |||
567.2.bd.a.467.22 | 132 | 3.2 | odd | 2 |