Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(2,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(196))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.i (of order \(196\), degree \(84\), 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: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(2688\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{196})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{196}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Character | \(\chi\) | \(=\) | 197.2 |
Dual form | 197.3.i.a.99.1 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{196}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.77189 | − | 0.0604630i | −1.88594 | − | 0.0302315i | −0.937642 | − | 0.347601i | \(-0.886996\pi\) |
−0.948302 | + | 0.317370i | \(0.897200\pi\) | |||||||
\(3\) | −3.32606 | + | 0.815453i | −1.10869 | + | 0.271818i | −0.749867 | − | 0.661589i | \(-0.769882\pi\) |
−0.358821 | + | 0.933406i | \(0.616821\pi\) | |||||||
\(4\) | 10.2255 | + | 0.327913i | 2.55639 | + | 0.0819783i | ||||
\(5\) | 0.114711 | + | 0.789665i | 0.0229423 | + | 0.157933i | 0.997929 | − | 0.0643321i | \(-0.0204917\pi\) |
−0.974986 | + | 0.222265i | \(0.928655\pi\) | |||||||
\(6\) | 12.5948 | − | 2.87469i | 2.09914 | − | 0.479115i | ||||
\(7\) | 1.23384 | − | 1.27404i | 0.176263 | − | 0.182006i | −0.624430 | − | 0.781081i | \(-0.714669\pi\) |
0.800693 | + | 0.599075i | \(0.204465\pi\) | |||||||
\(8\) | −23.4777 | − | 1.12981i | −2.93472 | − | 0.141226i | ||||
\(9\) | 2.41835 | − | 1.26165i | 0.268705 | − | 0.140183i | ||||
\(10\) | −0.384933 | − | 2.98546i | −0.0384933 | − | 0.298546i | ||||
\(11\) | −4.10405 | − | 2.05808i | −0.373096 | − | 0.187098i | 0.251851 | − | 0.967766i | \(-0.418961\pi\) |
−0.624946 | + | 0.780668i | \(0.714879\pi\) | |||||||
\(12\) | −34.2782 | + | 7.24778i | −2.85652 | + | 0.603982i | ||||
\(13\) | −13.2741 | − | 5.62338i | −1.02109 | − | 0.432567i | −0.185920 | − | 0.982565i | \(-0.559527\pi\) |
−0.835166 | + | 0.549997i | \(0.814629\pi\) | |||||||
\(14\) | −4.73094 | + | 4.73094i | −0.337924 | + | 0.337924i | ||||
\(15\) | −1.02547 | − | 2.53294i | −0.0683648 | − | 0.168862i | ||||
\(16\) | 47.6479 | + | 3.05910i | 2.97800 | + | 0.191194i | ||||
\(17\) | −8.49630 | + | 5.72642i | −0.499782 | + | 0.336848i | −0.782807 | − | 0.622264i | \(-0.786213\pi\) |
0.283025 | + | 0.959112i | \(0.408662\pi\) | |||||||
\(18\) | −9.19802 | + | 4.61258i | −0.511001 | + | 0.256255i | ||||
\(19\) | 16.0622 | − | 12.8092i | 0.845381 | − | 0.674169i | −0.101822 | − | 0.994803i | \(-0.532467\pi\) |
0.947203 | + | 0.320634i | \(0.103896\pi\) | |||||||
\(20\) | 0.914044 | + | 8.11237i | 0.0457022 | + | 0.405618i | ||||
\(21\) | −3.06491 | + | 5.24368i | −0.145948 | + | 0.249699i | ||||
\(22\) | 15.3556 | + | 8.01100i | 0.697981 | + | 0.364136i | ||||
\(23\) | −6.41916 | + | 17.4429i | −0.279094 | + | 0.758388i | 0.718902 | + | 0.695111i | \(0.244645\pi\) |
−0.997996 | + | 0.0632769i | \(0.979845\pi\) | |||||||
\(24\) | 79.0097 | − | 15.3871i | 3.29207 | − | 0.641131i | ||||
\(25\) | 23.3563 | − | 6.93202i | 0.934251 | − | 0.277281i | ||||
\(26\) | 49.7285 | + | 22.0133i | 1.91264 | + | 0.846667i | ||||
\(27\) | 16.1306 | − | 14.1843i | 0.597430 | − | 0.525345i | ||||
\(28\) | 13.0345 | − | 12.6232i | 0.465516 | − | 0.450827i | ||||
\(29\) | 16.3351 | + | 10.6329i | 0.563278 | + | 0.366653i | 0.795448 | − | 0.606022i | \(-0.207236\pi\) |
−0.232170 | + | 0.972675i | \(0.574583\pi\) | |||||||
\(30\) | 3.71482 | + | 9.61595i | 0.123827 | + | 0.320532i | ||||
\(31\) | 2.32438 | − | 2.82073i | 0.0749801 | − | 0.0909911i | −0.732906 | − | 0.680330i | \(-0.761836\pi\) |
0.807886 | + | 0.589339i | \(0.200612\pi\) | |||||||
\(32\) | −85.8199 | − | 6.89260i | −2.68187 | − | 0.215394i | ||||
\(33\) | 15.3286 | + | 3.49865i | 0.464503 | + | 0.106020i | ||||
\(34\) | 32.3933 | − | 21.0857i | 0.952745 | − | 0.620168i | ||||
\(35\) | 1.14760 | + | 0.828173i | 0.0327886 | + | 0.0236621i | ||||
\(36\) | 25.1426 | − | 12.1081i | 0.698406 | − | 0.336335i | ||||
\(37\) | 34.6937 | − | 2.22741i | 0.937668 | − | 0.0602003i | 0.412274 | − | 0.911060i | \(-0.364735\pi\) |
0.525393 | + | 0.850859i | \(0.323918\pi\) | |||||||
\(38\) | −61.3595 | + | 47.3437i | −1.61472 | + | 1.24589i | ||||
\(39\) | 48.7362 | + | 7.87929i | 1.24965 | + | 0.202033i | ||||
\(40\) | −1.80099 | − | 18.6691i | −0.0450247 | − | 0.466728i | ||||
\(41\) | 4.44808 | − | 22.8400i | 0.108490 | − | 0.557072i | −0.886965 | − | 0.461837i | \(-0.847191\pi\) |
0.995455 | − | 0.0952355i | \(-0.0303604\pi\) | |||||||
\(42\) | 11.8776 | − | 19.5933i | 0.282799 | − | 0.466506i | ||||
\(43\) | 19.8686 | + | 59.8412i | 0.462061 | + | 1.39165i | 0.876423 | + | 0.481543i | \(0.159923\pi\) |
−0.414361 | + | 0.910112i | \(0.635995\pi\) | |||||||
\(44\) | −41.2913 | − | 22.3908i | −0.938438 | − | 0.508881i | ||||
\(45\) | 1.27369 | + | 1.76496i | 0.0283043 | + | 0.0392213i | ||||
\(46\) | 25.2670 | − | 65.4047i | 0.549283 | − | 1.42184i | ||||
\(47\) | 0.915357 | + | 1.62531i | 0.0194757 | + | 0.0345811i | 0.880885 | − | 0.473330i | \(-0.156948\pi\) |
−0.861409 | + | 0.507911i | \(0.830418\pi\) | |||||||
\(48\) | −160.975 | + | 28.6799i | −3.35364 | + | 0.597497i | ||||
\(49\) | 1.46971 | + | 45.8309i | 0.0299940 | + | 0.935324i | ||||
\(50\) | −88.5164 | + | 24.7346i | −1.77033 | + | 0.494692i | ||||
\(51\) | 23.5896 | − | 25.9748i | 0.462541 | − | 0.509309i | ||||
\(52\) | −133.891 | − | 61.8548i | −2.57483 | − | 1.18952i | ||||
\(53\) | −37.2082 | − | 84.0539i | −0.702041 | − | 1.58592i | −0.806392 | − | 0.591382i | \(-0.798583\pi\) |
0.104351 | − | 0.994541i | \(-0.466724\pi\) | |||||||
\(54\) | −61.7005 | + | 52.5264i | −1.14260 | + | 0.972711i | ||||
\(55\) | 1.15441 | − | 3.47691i | 0.0209893 | − | 0.0632166i | ||||
\(56\) | −30.4072 | + | 28.5176i | −0.542985 | + | 0.509242i | ||||
\(57\) | −42.9788 | + | 55.7023i | −0.754013 | + | 0.977233i | ||||
\(58\) | −60.9711 | − | 41.0939i | −1.05123 | − | 0.708516i | ||||
\(59\) | 88.8840 | + | 11.4603i | 1.50651 | + | 0.194243i | 0.836441 | − | 0.548057i | \(-0.184632\pi\) |
0.670068 | + | 0.742300i | \(0.266265\pi\) | |||||||
\(60\) | −9.65542 | − | 26.2369i | −0.160924 | − | 0.437282i | ||||
\(61\) | 13.0530 | + | 21.5323i | 0.213984 | + | 0.352989i | 0.943723 | − | 0.330737i | \(-0.107297\pi\) |
−0.729739 | + | 0.683726i | \(0.760359\pi\) | |||||||
\(62\) | −8.93786 | + | 10.4989i | −0.144159 | + | 0.169337i | ||||
\(63\) | 1.37646 | − | 4.63775i | 0.0218486 | − | 0.0736151i | ||||
\(64\) | 133.185 | + | 12.8482i | 2.08101 | + | 0.200753i | ||||
\(65\) | 2.91789 | − | 11.1272i | 0.0448906 | − | 0.171187i | ||||
\(66\) | −57.6063 | − | 14.1233i | −0.872822 | − | 0.213990i | ||||
\(67\) | 113.303 | + | 31.6608i | 1.69109 | + | 0.472550i | 0.974396 | − | 0.224840i | \(-0.0721859\pi\) |
0.716692 | + | 0.697390i | \(0.245655\pi\) | |||||||
\(68\) | −88.7570 | + | 55.7697i | −1.30525 | + | 0.820143i | ||||
\(69\) | 7.12666 | − | 63.2508i | 0.103285 | − | 0.916679i | ||||
\(70\) | −4.27855 | − | 3.19316i | −0.0611221 | − | 0.0456166i | ||||
\(71\) | 86.5229 | + | 27.1959i | 1.21863 | + | 0.383040i | 0.840041 | − | 0.542523i | \(-0.182531\pi\) |
0.378591 | + | 0.925564i | \(0.376409\pi\) | |||||||
\(72\) | −58.2027 | + | 26.8884i | −0.808371 | + | 0.373450i | ||||
\(73\) | −42.0877 | − | 37.0095i | −0.576544 | − | 0.506980i | 0.321485 | − | 0.946915i | \(-0.395818\pi\) |
−0.898030 | + | 0.439935i | \(0.855002\pi\) | |||||||
\(74\) | −130.995 | + | 6.30385i | −1.77021 | + | 0.0851872i | ||||
\(75\) | −72.0318 | + | 42.1023i | −0.960424 | + | 0.561364i | ||||
\(76\) | 168.445 | − | 125.714i | 2.21639 | − | 1.65413i | ||||
\(77\) | −7.68582 | + | 2.68939i | −0.0998159 | + | 0.0349271i | ||||
\(78\) | −183.351 | − | 32.6665i | −2.35065 | − | 0.418802i | ||||
\(79\) | 13.7655 | − | 94.7607i | 0.174247 | − | 1.19950i | −0.700044 | − | 0.714100i | \(-0.746836\pi\) |
0.874291 | − | 0.485402i | \(-0.161327\pi\) | |||||||
\(80\) | 3.05010 | + | 37.9768i | 0.0381262 | + | 0.474710i | ||||
\(81\) | −56.1297 | + | 80.4661i | −0.692959 | + | 0.993409i | ||||
\(82\) | −18.1586 | + | 85.8808i | −0.221447 | + | 1.04733i | ||||
\(83\) | 59.4514 | + | 47.4109i | 0.716282 | + | 0.571216i | 0.912368 | − | 0.409371i | \(-0.134252\pi\) |
−0.196086 | + | 0.980587i | \(0.562823\pi\) | |||||||
\(84\) | −33.0598 | + | 52.6144i | −0.393570 | + | 0.626362i | ||||
\(85\) | −5.49658 | − | 6.05234i | −0.0646656 | − | 0.0712040i | ||||
\(86\) | −71.3241 | − | 226.915i | −0.829350 | − | 2.63855i | ||||
\(87\) | −63.0021 | − | 22.0454i | −0.724162 | − | 0.253395i | ||||
\(88\) | 94.0285 | + | 52.9559i | 1.06851 | + | 0.601771i | ||||
\(89\) | 12.0517 | + | 14.6252i | 0.135413 | + | 0.164329i | 0.835058 | − | 0.550162i | \(-0.185434\pi\) |
−0.699645 | + | 0.714491i | \(0.746659\pi\) | |||||||
\(90\) | −4.69751 | − | 6.73424i | −0.0521946 | − | 0.0748249i | ||||
\(91\) | −23.5426 | + | 9.97344i | −0.258709 | + | 0.109598i | ||||
\(92\) | −71.3591 | + | 176.258i | −0.775643 | + | 1.91585i | ||||
\(93\) | −5.43088 | + | 11.2773i | −0.0583966 | + | 0.121262i | ||||
\(94\) | −3.35435 | − | 6.18583i | −0.0356846 | − | 0.0658067i | ||||
\(95\) | 11.9575 | + | 11.2144i | 0.125869 | + | 0.118047i | ||||
\(96\) | 291.063 | − | 47.0568i | 3.03191 | − | 0.490175i | ||||
\(97\) | −36.2431 | − | 138.211i | −0.373640 | − | 1.42485i | −0.841121 | − | 0.540848i | \(-0.818104\pi\) |
0.467481 | − | 0.884003i | \(-0.345162\pi\) | |||||||
\(98\) | −2.77250 | − | 172.958i | −0.0282908 | − | 1.76488i | ||||
\(99\) | −12.5216 | + | 0.200720i | −0.126481 | + | 0.00202748i | ||||
\(100\) | 241.104 | − | 63.2248i | 2.41104 | − | 0.632248i | ||||
\(101\) | 6.43576 | + | 39.8074i | 0.0637204 | + | 0.394133i | 0.999172 | + | 0.0406790i | \(0.0129521\pi\) |
−0.935452 | + | 0.353454i | \(0.885007\pi\) | |||||||
\(102\) | −90.5479 | + | 96.5477i | −0.887724 | + | 0.946546i | ||||
\(103\) | 81.4512 | − | 44.1681i | 0.790788 | − | 0.428816i | −0.0303544 | − | 0.999539i | \(-0.509664\pi\) |
0.821143 | + | 0.570723i | \(0.193337\pi\) | |||||||
\(104\) | 305.293 | + | 147.021i | 2.93551 | + | 1.41367i | ||||
\(105\) | −4.49233 | − | 1.81874i | −0.0427841 | − | 0.0173214i | ||||
\(106\) | 135.263 | + | 319.292i | 1.27607 | + | 3.01219i | ||||
\(107\) | 92.5757 | − | 64.5768i | 0.865194 | − | 0.603522i | −0.0534667 | − | 0.998570i | \(-0.517027\pi\) |
0.918661 | + | 0.395048i | \(0.129272\pi\) | |||||||
\(108\) | 169.595 | − | 139.753i | 1.57033 | − | 1.29401i | ||||
\(109\) | −77.5835 | + | 137.757i | −0.711775 | + | 1.26383i | 0.244013 | + | 0.969772i | \(0.421536\pi\) |
−0.955788 | + | 0.294057i | \(0.904995\pi\) | |||||||
\(110\) | −4.56455 | + | 13.0447i | −0.0414959 | + | 0.118588i | ||||
\(111\) | −113.577 | + | 35.6996i | −1.02322 | + | 0.321618i | ||||
\(112\) | 62.6873 | − | 56.9310i | 0.559708 | − | 0.508312i | ||||
\(113\) | 51.6277 | + | 32.4398i | 0.456882 | + | 0.287078i | 0.740744 | − | 0.671787i | \(-0.234473\pi\) |
−0.283862 | + | 0.958865i | \(0.591616\pi\) | |||||||
\(114\) | 165.479 | − | 207.504i | 1.45157 | − | 1.82021i | ||||
\(115\) | −14.5104 | − | 3.06808i | −0.126178 | − | 0.0266790i | ||||
\(116\) | 163.548 | + | 114.084i | 1.40990 | + | 0.983483i | ||||
\(117\) | −39.1962 | + | 3.14803i | −0.335010 | + | 0.0269062i | ||||
\(118\) | −334.568 | − | 48.6013i | −2.83532 | − | 0.411875i | ||||
\(119\) | −3.18737 | + | 17.8901i | −0.0267847 | + | 0.150337i | ||||
\(120\) | 21.2140 | + | 60.6261i | 0.176783 | + | 0.505218i | ||||
\(121\) | −59.7638 | − | 80.0781i | −0.493916 | − | 0.661802i | ||||
\(122\) | −47.9326 | − | 82.0067i | −0.392890 | − | 0.672186i | ||||
\(123\) | 3.83030 | + | 79.5944i | 0.0311406 | + | 0.647109i | ||||
\(124\) | 24.6930 | − | 28.0812i | 0.199137 | − | 0.226462i | ||||
\(125\) | 16.5195 | + | 35.7582i | 0.132156 | + | 0.286065i | ||||
\(126\) | −5.47227 | + | 17.4098i | −0.0434307 | + | 0.138173i | ||||
\(127\) | −111.803 | + | 149.806i | −0.880341 | + | 1.17958i | 0.102428 | + | 0.994740i | \(0.467339\pi\) |
−0.982769 | + | 0.184836i | \(0.940824\pi\) | |||||||
\(128\) | −159.362 | − | 17.9557i | −1.24501 | − | 0.140279i | ||||
\(129\) | −114.882 | − | 182.834i | −0.890558 | − | 1.41731i | ||||
\(130\) | −11.6787 | + | 41.7940i | −0.0898364 | + | 0.321493i | ||||
\(131\) | 53.9915 | − | 220.220i | 0.412149 | − | 1.68107i | −0.280545 | − | 0.959841i | \(-0.590515\pi\) |
0.692694 | − | 0.721231i | \(-0.256423\pi\) | |||||||
\(132\) | 155.596 | + | 40.8021i | 1.17876 | + | 0.309107i | ||||
\(133\) | 3.49878 | − | 36.2685i | 0.0263066 | − | 0.272695i | ||||
\(134\) | −425.452 | − | 126.272i | −3.17501 | − | 0.942327i | ||||
\(135\) | 13.0512 | + | 11.1107i | 0.0966758 | + | 0.0823013i | ||||
\(136\) | 205.944 | − | 124.844i | 1.51429 | − | 0.917972i | ||||
\(137\) | −87.7016 | + | 32.2750i | −0.640158 | + | 0.235584i | −0.644736 | − | 0.764406i | \(-0.723033\pi\) |
0.00457791 | + | 0.999990i | \(0.498543\pi\) | |||||||
\(138\) | −30.7053 | + | 238.144i | −0.222502 | + | 1.72568i | ||||
\(139\) | −42.9187 | + | 63.6785i | −0.308768 | + | 0.458119i | −0.951356 | − | 0.308092i | \(-0.900309\pi\) |
0.642589 | + | 0.766211i | \(0.277860\pi\) | |||||||
\(140\) | 11.4633 | + | 8.84483i | 0.0818805 | + | 0.0631774i | ||||
\(141\) | −4.36990 | − | 4.65945i | −0.0309922 | − | 0.0330458i | ||||
\(142\) | −324.710 | − | 107.811i | −2.28669 | − | 0.759234i | ||||
\(143\) | 42.9043 | + | 50.3979i | 0.300030 | + | 0.352433i | ||||
\(144\) | 119.089 | − | 52.7171i | 0.827005 | − | 0.366091i | ||||
\(145\) | −6.52265 | + | 14.1189i | −0.0449838 | + | 0.0973720i | ||||
\(146\) | 156.512 | + | 142.141i | 1.07200 | + | 0.973565i | ||||
\(147\) | −42.2613 | − | 151.238i | −0.287492 | − | 1.02883i | ||||
\(148\) | 355.492 | − | 11.3999i | 2.40197 | − | 0.0770267i | ||||
\(149\) | −14.4818 | − | 81.2838i | −0.0971935 | − | 0.545529i | −0.994553 | − | 0.104229i | \(-0.966762\pi\) |
0.897360 | − | 0.441300i | \(-0.145482\pi\) | |||||||
\(150\) | 274.241 | − | 154.450i | 1.82828 | − | 1.02967i | ||||
\(151\) | −63.2505 | − | 24.4348i | −0.418878 | − | 0.161820i | 0.141723 | − | 0.989906i | \(-0.454736\pi\) |
−0.560601 | + | 0.828086i | \(0.689430\pi\) | |||||||
\(152\) | −391.577 | + | 282.584i | −2.57616 | + | 1.85910i | ||||
\(153\) | −13.3223 | + | 24.5678i | −0.0870736 | + | 0.160574i | ||||
\(154\) | 29.1527 | − | 9.67936i | 0.189303 | − | 0.0628530i | ||||
\(155\) | 2.49406 | + | 1.51191i | 0.0160907 | + | 0.00975429i | ||||
\(156\) | 495.770 | + | 96.5512i | 3.17801 | + | 0.618918i | ||||
\(157\) | 95.6299 | − | 9.22530i | 0.609107 | − | 0.0587599i | 0.213136 | − | 0.977023i | \(-0.431632\pi\) |
0.395972 | + | 0.918263i | \(0.370408\pi\) | |||||||
\(158\) | −57.6514 | + | 356.594i | −0.364882 | + | 2.25693i | ||||
\(159\) | 192.299 | + | 249.227i | 1.20943 | + | 1.56747i | ||||
\(160\) | −4.40167 | − | 68.5596i | −0.0275105 | − | 0.428498i | ||||
\(161\) | 14.3028 | + | 29.7001i | 0.0888372 | + | 0.184472i | ||||
\(162\) | 216.580 | − | 300.116i | 1.33691 | − | 1.85257i | ||||
\(163\) | 39.8357 | + | 61.1983i | 0.244391 | + | 0.375449i | 0.938988 | − | 0.343949i | \(-0.111765\pi\) |
−0.694598 | + | 0.719398i | \(0.744418\pi\) | |||||||
\(164\) | 52.9736 | − | 232.092i | 0.323010 | − | 1.41520i | ||||
\(165\) | −1.00440 | + | 12.5058i | −0.00608727 | + | 0.0757927i | ||||
\(166\) | −221.378 | − | 182.423i | −1.33360 | − | 1.09894i | ||||
\(167\) | −36.5431 | + | 14.1173i | −0.218821 | + | 0.0845344i | −0.467285 | − | 0.884107i | \(-0.654768\pi\) |
0.248465 | + | 0.968641i | \(0.420074\pi\) | |||||||
\(168\) | 77.8815 | − | 119.647i | 0.463580 | − | 0.712184i | ||||
\(169\) | 27.0097 | + | 27.8898i | 0.159821 | + | 0.165028i | ||||
\(170\) | 20.3665 | + | 23.1611i | 0.119803 | + | 0.136242i | ||||
\(171\) | 22.6833 | − | 51.2421i | 0.132651 | − | 0.299661i | ||||
\(172\) | 183.545 | + | 618.423i | 1.06712 | + | 3.59549i | ||||
\(173\) | −21.2271 | − | 108.997i | −0.122700 | − | 0.630038i | −0.990985 | − | 0.133973i | \(-0.957227\pi\) |
0.868285 | − | 0.496066i | \(-0.165222\pi\) | |||||||
\(174\) | 236.304 | + | 86.9620i | 1.35807 | + | 0.499782i | ||||
\(175\) | 19.9862 | − | 38.3099i | 0.114207 | − | 0.218914i | ||||
\(176\) | −189.254 | − | 110.618i | −1.07530 | − | 0.628512i | ||||
\(177\) | −304.979 | + | 34.3629i | −1.72305 | + | 0.194141i | ||||
\(178\) | −44.5735 | − | 55.8935i | −0.250413 | − | 0.314008i | ||||
\(179\) | 53.5002 | + | 106.685i | 0.298884 | + | 0.596008i | 0.992204 | − | 0.124621i | \(-0.0397714\pi\) |
−0.693321 | + | 0.720629i | \(0.743853\pi\) | |||||||
\(180\) | 12.4455 | + | 18.4653i | 0.0691414 | + | 0.102585i | ||||
\(181\) | −12.1531 | + | 189.295i | −0.0671443 | + | 1.04583i | 0.816403 | + | 0.577483i | \(0.195965\pi\) |
−0.883547 | + | 0.468343i | \(0.844851\pi\) | |||||||
\(182\) | 89.4029 | − | 36.1952i | 0.491225 | − | 0.198875i | ||||
\(183\) | −60.9737 | − | 60.9737i | −0.333190 | − | 0.333190i | ||||
\(184\) | 170.414 | − | 402.268i | 0.926165 | − | 2.18624i | ||||
\(185\) | 5.73867 | + | 27.1409i | 0.0310198 | + | 0.146708i | ||||
\(186\) | 21.1665 | − | 42.2085i | 0.113799 | − | 0.226927i | ||||
\(187\) | 46.6547 | − | 6.01546i | 0.249490 | − | 0.0321682i | ||||
\(188\) | 8.82706 | + | 16.9198i | 0.0469525 | + | 0.0899991i | ||||
\(189\) | 1.83118 | − | 38.0522i | 0.00968877 | − | 0.201335i | ||||
\(190\) | −44.4243 | − | 43.0226i | −0.233812 | − | 0.226435i | ||||
\(191\) | −81.8202 | − | 358.478i | −0.428378 | − | 1.87685i | −0.478475 | − | 0.878101i | \(-0.658810\pi\) |
0.0500968 | − | 0.998744i | \(-0.484047\pi\) | |||||||
\(192\) | −453.458 | + | 65.8720i | −2.36176 | + | 0.343083i | ||||
\(193\) | 11.3585 | − | 354.200i | 0.0588524 | − | 1.83523i | −0.366744 | − | 0.930322i | \(-0.619528\pi\) |
0.425597 | − | 0.904913i | \(-0.360064\pi\) | |||||||
\(194\) | 128.348 | + | 523.506i | 0.661589 | + | 2.69849i | ||||
\(195\) | −0.631404 | + | 39.3891i | −0.00323797 | + | 0.201995i | ||||
\(196\) | 469.128i | 2.39351i | ||||||||
\(197\) | −132.451 | + | 145.828i | −0.672338 | + | 0.740244i | ||||
\(198\) | 47.2422 | 0.238597 | ||||||||
\(199\) | −48.9893 | − | 0.785293i | −0.246177 | − | 0.00394620i | −0.107183 | − | 0.994239i | \(-0.534183\pi\) |
−0.138995 | + | 0.990293i | \(0.544387\pi\) | |||||||
\(200\) | −556.184 | + | 136.360i | −2.78092 | + | 0.681800i | ||||
\(201\) | −402.671 | − | 12.9129i | −2.00334 | − | 0.0642431i | ||||
\(202\) | −21.8681 | − | 150.538i | −0.108258 | − | 0.745239i | ||||
\(203\) | 33.7016 | − | 7.69218i | 0.166018 | − | 0.0378925i | ||||
\(204\) | 249.734 | − | 257.871i | 1.22419 | − | 1.26407i | ||||
\(205\) | 18.5462 | + | 0.892491i | 0.0904691 | + | 0.00435362i | ||||
\(206\) | −309.895 | + | 161.672i | −1.50435 | + | 0.784816i | ||||
\(207\) | 6.48312 | + | 50.2818i | 0.0313194 | + | 0.242907i | ||||
\(208\) | −615.282 | − | 308.549i | −2.95809 | − | 1.48341i | ||||
\(209\) | −92.2827 | + | 19.5122i | −0.441544 | + | 0.0933600i | ||||
\(210\) | 16.8346 | + | 7.13172i | 0.0801648 | + | 0.0339606i | ||||
\(211\) | −80.1667 | + | 80.1667i | −0.379937 | + | 0.379937i | −0.871079 | − | 0.491142i | \(-0.836580\pi\) |
0.491142 | + | 0.871079i | \(0.336580\pi\) | |||||||
\(212\) | −352.911 | − | 871.698i | −1.66468 | − | 4.11178i | ||||
\(213\) | −309.958 | − | 19.8999i | −1.45520 | − | 0.0934269i | ||||
\(214\) | −353.090 | + | 237.979i | −1.64995 | + | 1.11205i | ||||
\(215\) | −44.9753 | + | 22.5540i | −0.209188 | + | 0.104902i | ||||
\(216\) | −394.736 | + | 314.791i | −1.82748 | + | 1.45737i | ||||
\(217\) | −0.725803 | − | 6.44168i | −0.00334472 | − | 0.0296852i | ||||
\(218\) | 300.965 | − | 514.914i | 1.38058 | − | 2.36199i | ||||
\(219\) | 170.166 | + | 88.7755i | 0.777014 | + | 0.405368i | ||||
\(220\) | 12.9446 | − | 35.1748i | 0.0588392 | − | 0.159885i | ||||
\(221\) | 144.983 | − | 28.2354i | 0.656031 | − | 0.127762i | ||||
\(222\) | 430.559 | − | 127.788i | 1.93945 | − | 0.575620i | ||||
\(223\) | 205.654 | + | 91.0371i | 0.922217 | + | 0.408238i | 0.810658 | − | 0.585520i | \(-0.199110\pi\) |
0.111559 | + | 0.993758i | \(0.464416\pi\) | |||||||
\(224\) | −114.669 | + | 100.834i | −0.511917 | + | 0.450150i | ||||
\(225\) | 47.7378 | − | 46.2315i | 0.212168 | − | 0.205473i | ||||
\(226\) | −192.773 | − | 125.481i | −0.852976 | − | 0.555226i | ||||
\(227\) | 99.2569 | + | 256.930i | 0.437255 | + | 1.13185i | 0.960157 | + | 0.279460i | \(0.0901553\pi\) |
−0.522902 | + | 0.852393i | \(0.675151\pi\) | |||||||
\(228\) | −457.747 | + | 555.492i | −2.00766 | + | 2.43637i | ||||
\(229\) | 244.727 | + | 19.6552i | 1.06868 | + | 0.0858304i | 0.601921 | − | 0.798556i | \(-0.294402\pi\) |
0.466756 | + | 0.884386i | \(0.345423\pi\) | |||||||
\(230\) | 54.5462 | + | 12.4498i | 0.237157 | + | 0.0541296i | ||||
\(231\) | 23.3705 | − | 15.2125i | 0.101171 | − | 0.0658550i | ||||
\(232\) | −371.497 | − | 268.093i | −1.60128 | − | 1.15557i | ||||
\(233\) | 100.898 | − | 48.5898i | 0.433038 | − | 0.208540i | −0.204650 | − | 0.978835i | \(-0.565605\pi\) |
0.637687 | + | 0.770295i | \(0.279891\pi\) | |||||||
\(234\) | 148.034 | − | 9.50410i | 0.632624 | − | 0.0406158i | ||||
\(235\) | −1.17845 | + | 0.909267i | −0.00501467 | + | 0.00386922i | ||||
\(236\) | 905.129 | + | 146.334i | 3.83529 | + | 0.620061i | ||||
\(237\) | 31.4879 | + | 326.405i | 0.132860 | + | 1.37724i | ||||
\(238\) | 13.1041 | − | 67.2868i | 0.0550593 | − | 0.282718i | ||||
\(239\) | 190.983 | − | 315.046i | 0.799091 | − | 1.31818i | −0.145310 | − | 0.989386i | \(-0.546418\pi\) |
0.944400 | − | 0.328797i | \(-0.106643\pi\) | |||||||
\(240\) | −41.1131 | − | 123.826i | −0.171305 | − | 0.515942i | ||||
\(241\) | −102.706 | − | 55.6936i | −0.426165 | − | 0.231094i | 0.249391 | − | 0.968403i | \(-0.419770\pi\) |
−0.675556 | + | 0.737309i | \(0.736096\pi\) | |||||||
\(242\) | 220.581 | + | 305.659i | 0.911491 | + | 1.26305i | ||||
\(243\) | 51.4093 | − | 133.075i | 0.211561 | − | 0.547634i | ||||
\(244\) | 126.413 | + | 224.460i | 0.518088 | + | 0.919917i | ||||
\(245\) | −36.0225 | + | 6.41790i | −0.147030 | + | 0.0261955i | ||||
\(246\) | −9.63493 | − | 300.453i | −0.0391664 | − | 1.22135i | ||||
\(247\) | −285.243 | + | 79.7071i | −1.15483 | + | 0.322701i | ||||
\(248\) | −57.7581 | + | 63.5981i | −0.232896 | + | 0.256444i | ||||
\(249\) | −236.401 | − | 109.212i | −0.949400 | − | 0.438602i | ||||
\(250\) | −60.1477 | − | 135.875i | −0.240591 | − | 0.543498i | ||||
\(251\) | −172.710 | + | 147.030i | −0.688088 | + | 0.585778i | −0.922331 | − | 0.386400i | \(-0.873718\pi\) |
0.234243 | + | 0.972178i | \(0.424739\pi\) | |||||||
\(252\) | 15.5958 | − | 46.9721i | 0.0618882 | − | 0.186397i | ||||
\(253\) | 62.2435 | − | 58.3755i | 0.246022 | − | 0.230733i | ||||
\(254\) | 430.767 | − | 558.292i | 1.69593 | − | 2.19800i | ||||
\(255\) | 23.2174 | + | 15.6483i | 0.0910485 | + | 0.0613658i | ||||
\(256\) | 69.1904 | + | 8.92112i | 0.270275 | + | 0.0348481i | ||||
\(257\) | −149.773 | − | 406.982i | −0.582775 | − | 1.58359i | −0.795159 | − | 0.606401i | \(-0.792613\pi\) |
0.212385 | − | 0.977186i | \(-0.431877\pi\) | |||||||
\(258\) | 422.267 | + | 696.574i | 1.63670 | + | 2.69990i | ||||
\(259\) | 39.9687 | − | 46.9495i | 0.154319 | − | 0.181272i | ||||
\(260\) | 33.4857 | − | 112.825i | 0.128791 | − | 0.433941i | ||||
\(261\) | 52.9189 | + | 5.10502i | 0.202754 | + | 0.0195595i | ||||
\(262\) | −216.965 | + | 827.382i | −0.828112 | + | 3.15795i | ||||
\(263\) | 483.744 | + | 118.600i | 1.83933 | + | 0.450949i | 0.996226 | − | 0.0868013i | \(-0.0276645\pi\) |
0.843104 | + | 0.537750i | \(0.180726\pi\) | |||||||
\(264\) | −355.928 | − | 99.4589i | −1.34821 | − | 0.376738i | ||||
\(265\) | 62.1062 | − | 39.0239i | 0.234363 | − | 0.147260i | ||||
\(266\) | −15.3899 | + | 136.589i | −0.0578567 | + | 0.513493i | ||||
\(267\) | −52.0111 | − | 38.8169i | −0.194798 | − | 0.145382i | ||||
\(268\) | 1148.20 | + | 360.903i | 4.28433 | + | 1.34665i | ||||
\(269\) | 400.085 | − | 184.831i | 1.48730 | − | 0.687102i | 0.503114 | − | 0.864220i | \(-0.332188\pi\) |
0.984190 | + | 0.177118i | \(0.0566773\pi\) | |||||||
\(270\) | −48.5560 | − | 42.6973i | −0.179837 | − | 0.158138i | ||||
\(271\) | −132.152 | + | 6.35953i | −0.487647 | + | 0.0234669i | −0.290437 | − | 0.956894i | \(-0.593801\pi\) |
−0.197211 | + | 0.980361i | \(0.563188\pi\) | |||||||
\(272\) | −422.349 | + | 246.861i | −1.55275 | + | 0.907578i | ||||
\(273\) | 70.1712 | − | 52.3701i | 0.257037 | − | 0.191832i | ||||
\(274\) | 332.752 | − | 116.435i | 1.21442 | − | 0.424945i | ||||
\(275\) | −110.122 | − | 19.6198i | −0.400444 | − | 0.0713446i | ||||
\(276\) | 93.6147 | − | 644.437i | 0.339184 | − | 2.33492i | ||||
\(277\) | 6.41925 | + | 79.9262i | 0.0231742 | + | 0.288542i | 0.997882 | + | 0.0650573i | \(0.0207230\pi\) |
−0.974707 | + | 0.223485i | \(0.928257\pi\) | |||||||
\(278\) | 165.735 | − | 237.593i | 0.596168 | − | 0.854652i | ||||
\(279\) | 2.06240 | − | 9.75405i | 0.00739210 | − | 0.0349608i | ||||
\(280\) | −26.0074 | − | 20.7402i | −0.0928835 | − | 0.0740721i | ||||
\(281\) | −127.665 | + | 203.177i | −0.454323 | + | 0.723051i | −0.992825 | − | 0.119573i | \(-0.961847\pi\) |
0.538502 | + | 0.842624i | \(0.318990\pi\) | |||||||
\(282\) | 16.2011 | + | 17.8392i | 0.0574505 | + | 0.0632594i | ||||
\(283\) | 1.20460 | + | 3.83239i | 0.00425652 | + | 0.0135420i | 0.956089 | − | 0.293078i | \(-0.0946795\pi\) |
−0.951832 | + | 0.306620i | \(0.900802\pi\) | |||||||
\(284\) | 875.825 | + | 306.465i | 3.08389 | + | 1.07910i | ||||
\(285\) | −48.9163 | − | 27.5491i | −0.171636 | − | 0.0966636i | ||||
\(286\) | −158.783 | − | 192.689i | −0.555186 | − | 0.673739i | ||||
\(287\) | −23.6108 | − | 33.8479i | −0.0822677 | − | 0.117937i | ||||
\(288\) | −216.238 | + | 91.6060i | −0.750828 | + | 0.318076i | ||||
\(289\) | −69.0570 | + | 170.572i | −0.238952 | + | 0.590215i | ||||
\(290\) | 25.4564 | − | 52.8607i | 0.0877806 | − | 0.182278i | ||||
\(291\) | 233.251 | + | 430.143i | 0.801550 | + | 1.47815i | ||||
\(292\) | −418.234 | − | 392.243i | −1.43231 | − | 1.34330i | ||||
\(293\) | 468.953 | − | 75.8167i | 1.60052 | − | 0.258760i | 0.706811 | − | 0.707402i | \(-0.250133\pi\) |
0.893712 | + | 0.448642i | \(0.148092\pi\) | |||||||
\(294\) | 150.260 | + | 573.008i | 0.511090 | + | 1.94901i | ||||
\(295\) | 1.14619 | + | 71.5033i | 0.00388539 | + | 0.242384i | ||||
\(296\) | −817.046 | + | 13.0972i | −2.76029 | + | 0.0442472i | ||||
\(297\) | −95.3934 | + | 25.0151i | −0.321190 | + | 0.0842259i | ||||
\(298\) | 49.7092 | + | 307.469i | 0.166809 | + | 1.03178i | ||||
\(299\) | 183.297 | − | 195.442i | 0.613033 | − | 0.653653i | ||||
\(300\) | −750.370 | + | 406.899i | −2.50123 | + | 1.35633i | ||||
\(301\) | 100.755 | + | 48.5210i | 0.334734 | + | 0.161199i | ||||
\(302\) | 237.097 | + | 95.9898i | 0.785088 | + | 0.317847i | ||||
\(303\) | −53.8668 | − | 127.154i | −0.177778 | − | 0.419650i | ||||
\(304\) | 804.517 | − | 561.196i | 2.64644 | − | 1.84604i | ||||
\(305\) | −15.5060 | + | 12.7775i | −0.0508393 | + | 0.0418935i | ||||
\(306\) | 51.7355 | − | 91.8617i | 0.169070 | − | 0.300202i | ||||
\(307\) | 146.346 | − | 418.232i | 0.476696 | − | 1.36232i | −0.415056 | − | 0.909796i | \(-0.636238\pi\) |
0.891752 | − | 0.452524i | \(-0.149476\pi\) | |||||||
\(308\) | −79.4736 | + | 24.9801i | −0.258031 | + | 0.0811044i | ||||
\(309\) | −234.895 | + | 213.325i | −0.760178 | + | 0.690373i | ||||
\(310\) | −9.31590 | − | 5.85357i | −0.0300513 | − | 0.0188825i | ||||
\(311\) | 152.493 | − | 191.220i | 0.490330 | − | 0.614854i | −0.473688 | − | 0.880693i | \(-0.657078\pi\) |
0.964017 | + | 0.265839i | \(0.0856489\pi\) | |||||||
\(312\) | −1135.31 | − | 240.050i | −3.63882 | − | 0.769393i | ||||
\(313\) | 243.281 | + | 169.703i | 0.777257 | + | 0.542181i | 0.892441 | − | 0.451163i | \(-0.148991\pi\) |
−0.115185 | + | 0.993344i | \(0.536746\pi\) | |||||||
\(314\) | −361.263 | + | 29.0147i | −1.15052 | + | 0.0924036i | ||||
\(315\) | 3.82016 | + | 0.554940i | 0.0121275 | + | 0.00176171i | ||||
\(316\) | 171.833 | − | 964.465i | 0.543775 | − | 3.05210i | ||||
\(317\) | 127.916 | + | 365.563i | 0.403521 | + | 1.15320i | 0.949056 | + | 0.315108i | \(0.102041\pi\) |
−0.545535 | + | 0.838088i | \(0.683673\pi\) | |||||||
\(318\) | −710.260 | − | 951.684i | −2.23352 | − | 2.99272i | ||||
\(319\) | −45.1564 | − | 77.2570i | −0.141556 | − | 0.242185i | ||||
\(320\) | 5.13205 | + | 106.645i | 0.0160377 | + | 0.333266i | ||||
\(321\) | −255.254 | + | 290.278i | −0.795182 | + | 0.904292i | ||||
\(322\) | −52.1528 | − | 112.890i | −0.161965 | − | 0.350590i | ||||
\(323\) | −63.1186 | + | 200.810i | −0.195414 | + | 0.621703i | ||||
\(324\) | −600.342 | + | 804.404i | −1.85291 | + | 2.48273i | ||||
\(325\) | −349.016 | − | 39.3246i | −1.07389 | − | 0.120999i | ||||
\(326\) | −146.555 | − | 233.242i | −0.449556 | − | 0.715465i | ||||
\(327\) | 145.713 | − | 521.455i | 0.445606 | − | 1.59466i | ||||
\(328\) | −130.236 | + | 531.205i | −0.397060 | + | 1.61953i | ||||
\(329\) | 3.20012 | + | 0.839169i | 0.00972679 | + | 0.00255067i | ||||
\(330\) | 4.54462 | − | 47.1098i | 0.0137716 | − | 0.142757i | ||||
\(331\) | −162.435 | − | 48.2098i | −0.490740 | − | 0.145649i | 0.0296801 | − | 0.999559i | \(-0.490551\pi\) |
−0.520420 | + | 0.853910i | \(0.674225\pi\) | |||||||
\(332\) | 592.376 | + | 504.297i | 1.78427 | + | 1.51897i | ||||
\(333\) | 81.0912 | − | 49.1580i | 0.243517 | − | 0.147622i | ||||
\(334\) | 138.690 | − | 51.0392i | 0.415239 | − | 0.152812i | ||||
\(335\) | −12.0043 | + | 93.1032i | −0.0358338 | + | 0.277920i | ||||
\(336\) | −162.078 | + | 240.475i | −0.482374 | + | 0.715698i | ||||
\(337\) | 356.329 | + | 274.936i | 1.05736 | + | 0.815834i | 0.983404 | − | 0.181428i | \(-0.0580718\pi\) |
0.0739509 | + | 0.997262i | \(0.476439\pi\) | |||||||
\(338\) | −100.191 | − | 106.830i | −0.296424 | − | 0.316065i | ||||
\(339\) | −198.170 | − | 65.7970i | −0.584573 | − | 0.194092i | ||||
\(340\) | −54.2208 | − | 63.6909i | −0.159473 | − | 0.187326i | ||||
\(341\) | −15.3447 | + | 6.79263i | −0.0449990 | + | 0.0199197i | ||||
\(342\) | −88.6573 | + | 191.908i | −0.259232 | + | 0.561134i | ||||
\(343\) | 124.538 | + | 113.102i | 0.363083 | + | 0.329743i | ||||
\(344\) | −398.861 | − | 1427.38i | −1.15948 | − | 4.14937i | ||||
\(345\) | 50.7645 | − | 1.62792i | 0.147143 | − | 0.00471860i | ||||
\(346\) | 73.4760 | + | 412.407i | 0.212358 | + | 1.19193i | ||||
\(347\) | −54.0272 | + | 30.4276i | −0.155698 | + | 0.0876875i | −0.566604 | − | 0.823990i | \(-0.691743\pi\) |
0.410906 | + | 0.911678i | \(0.365212\pi\) | |||||||
\(348\) | −637.002 | − | 246.085i | −1.83046 | − | 0.707141i | ||||
\(349\) | −130.495 | + | 94.1727i | −0.373912 | + | 0.269836i | −0.756379 | − | 0.654133i | \(-0.773034\pi\) |
0.382467 | + | 0.923969i | \(0.375074\pi\) | |||||||
\(350\) | −77.7022 | + | 143.292i | −0.222006 | + | 0.409406i | ||||
\(351\) | −293.884 | + | 97.5761i | −0.837275 | + | 0.277994i | ||||
\(352\) | 338.024 | + | 204.912i | 0.960295 | + | 0.582136i | ||||
\(353\) | 369.853 | + | 72.0288i | 1.04774 | + | 0.204048i | 0.685527 | − | 0.728047i | \(-0.259572\pi\) |
0.362214 | + | 0.932095i | \(0.382021\pi\) | |||||||
\(354\) | 1152.43 | − | 111.173i | 3.25544 | − | 0.314048i | ||||
\(355\) | −11.5505 | + | 71.4438i | −0.0325365 | + | 0.201250i | ||||
\(356\) | 118.440 | + | 153.503i | 0.332696 | + | 0.431188i | ||||
\(357\) | −3.98714 | − | 62.1029i | −0.0111684 | − | 0.173958i | ||||
\(358\) | −195.346 | − | 405.641i | −0.545660 | − | 1.13307i | ||||
\(359\) | −172.749 | + | 239.379i | −0.481196 | + | 0.666794i | −0.979787 | − | 0.200044i | \(-0.935892\pi\) |
0.498591 | + | 0.866837i | \(0.333851\pi\) | |||||||
\(360\) | −27.9093 | − | 42.8763i | −0.0775260 | − | 0.119101i | ||||
\(361\) | 13.5897 | − | 59.5404i | 0.0376446 | − | 0.164932i | ||||
\(362\) | 57.2855 | − | 713.263i | 0.158247 | − | 1.97034i | ||||
\(363\) | 264.078 | + | 217.610i | 0.727488 | + | 0.599478i | ||||
\(364\) | −244.006 | + | 94.2639i | −0.670346 | + | 0.258967i | ||||
\(365\) | 24.3972 | − | 37.4806i | 0.0668416 | − | 0.102687i | ||||
\(366\) | 226.299 | + | 233.673i | 0.618305 | + | 0.638450i | ||||
\(367\) | 32.9315 | + | 37.4502i | 0.0897316 | + | 0.102044i | 0.794089 | − | 0.607802i | \(-0.207948\pi\) |
−0.704357 | + | 0.709846i | \(0.748765\pi\) | |||||||
\(368\) | −359.219 | + | 811.482i | −0.976139 | + | 2.20512i | ||||
\(369\) | −18.0590 | − | 60.8469i | −0.0489405 | − | 0.164897i | ||||
\(370\) | −20.0046 | − | 102.719i | −0.0540665 | − | 0.277620i | ||||
\(371\) | −152.997 | − | 56.3043i | −0.412391 | − | 0.151764i | ||||
\(372\) | −59.2317 | + | 113.536i | −0.159225 | + | 0.305204i | ||||
\(373\) | −305.876 | − | 178.783i | −0.820042 | − | 0.479311i | 0.0340583 | − | 0.999420i | \(-0.489157\pi\) |
−0.854100 | + | 0.520108i | \(0.825892\pi\) | |||||||
\(374\) | −176.340 | + | 19.8688i | −0.471497 | + | 0.0531250i | ||||
\(375\) | −84.1040 | − | 105.463i | −0.224277 | − | 0.281235i | ||||
\(376\) | −19.6542 | − | 39.1927i | −0.0522718 | − | 0.104236i | ||||
\(377\) | −157.041 | − | 233.001i | −0.416553 | − | 0.618040i | ||||
\(378\) | −9.20775 | + | 143.418i | −0.0243591 | + | 0.379413i | ||||
\(379\) | 101.281 | − | 41.0040i | 0.267232 | − | 0.108190i | −0.237732 | − | 0.971331i | \(-0.576404\pi\) |
0.504963 | + | 0.863141i | \(0.331506\pi\) | |||||||
\(380\) | 118.595 | + | 118.595i | 0.312091 | + | 0.312091i | ||||
\(381\) | 249.705 | − | 589.436i | 0.655394 | − | 1.54707i | ||||
\(382\) | 286.942 | + | 1357.08i | 0.751157 | + | 3.55258i | ||||
\(383\) | 46.8197 | − | 93.3639i | 0.122245 | − | 0.243770i | −0.824428 | − | 0.565967i | \(-0.808503\pi\) |
0.946673 | + | 0.322197i | \(0.104421\pi\) | |||||||
\(384\) | 544.689 | − | 70.2299i | 1.41846 | − | 0.182890i | ||||
\(385\) | −3.00537 | − | 5.76072i | −0.00780614 | − | 0.0149629i | ||||
\(386\) | −64.2591 | + | 1335.32i | −0.166474 | + | 3.45937i | ||||
\(387\) | 123.548 | + | 119.649i | 0.319245 | + | 0.309172i | ||||
\(388\) | −325.284 | − | 1425.16i | −0.838361 | − | 3.67310i | ||||
\(389\) | −424.004 | + | 61.5933i | −1.08999 | + | 0.158338i | −0.664986 | − | 0.746856i | \(-0.731562\pi\) |
−0.424999 | + | 0.905194i | \(0.639726\pi\) | |||||||
\(390\) | 4.76317 | − | 148.533i | 0.0122133 | − | 0.380854i | ||||
\(391\) | −45.3465 | − | 184.959i | −0.115976 | − | 0.473041i | ||||
\(392\) | 17.2749 | − | 1077.67i | 0.0440686 | − | 2.74915i | ||||
\(393\) | 776.495i | 1.97581i | ||||||||
\(394\) | 508.406 | − | 542.039i | 1.29037 | − | 1.37573i | ||||
\(395\) | 76.4082 | 0.193439 | ||||||||
\(396\) | −128.106 | − | 2.05353i | −0.323500 | − | 0.00518568i | ||||
\(397\) | 47.0385 | − | 11.5324i | 0.118485 | − | 0.0290490i | −0.178433 | − | 0.983952i | \(-0.557103\pi\) |
0.296917 | + | 0.954903i | \(0.404041\pi\) | |||||||
\(398\) | 184.735 | + | 5.92408i | 0.464157 | + | 0.0148846i | ||||
\(399\) | 17.9381 | + | 123.484i | 0.0449576 | + | 0.309485i | ||||
\(400\) | 1134.08 | − | 258.847i | 2.83521 | − | 0.647118i | ||||
\(401\) | 162.211 | − | 167.496i | 0.404517 | − | 0.417697i | −0.485061 | − | 0.874480i | \(-0.661203\pi\) |
0.889578 | + | 0.456784i | \(0.150999\pi\) | |||||||
\(402\) | 1518.05 | + | 73.0526i | 3.77624 | + | 0.181723i | ||||
\(403\) | −46.7161 | + | 24.3718i | −0.115921 | + | 0.0604759i | ||||
\(404\) | 52.7557 | + | 409.163i | 0.130583 | + | 1.01278i | ||||
\(405\) | −69.9800 | − | 35.0933i | −0.172790 | − | 0.0866501i | ||||
\(406\) | −127.584 | + | 26.9763i | −0.314246 | + | 0.0664442i | ||||
\(407\) | −146.969 | − | 62.2611i | −0.361103 | − | 0.152976i | ||||
\(408\) | −583.177 | + | 583.177i | −1.42936 | + | 1.42936i | ||||
\(409\) | −80.1757 | − | 198.036i | −0.196029 | − | 0.484194i | 0.796728 | − | 0.604338i | \(-0.206562\pi\) |
−0.992757 | + | 0.120144i | \(0.961664\pi\) | |||||||
\(410\) | −69.9001 | − | 4.48773i | −0.170488 | − | 0.0109457i | ||||
\(411\) | 265.383 | − | 178.865i | 0.645700 | − | 0.435195i | ||||
\(412\) | 847.366 | − | 424.933i | 2.05671 | − | 1.03139i | ||||
\(413\) | 124.270 | − | 99.1017i | 0.300895 | − | 0.239956i | ||||
\(414\) | −21.4134 | − | 190.049i | −0.0517232 | − | 0.459056i | ||||
\(415\) | −30.6190 | + | 52.3853i | −0.0737807 | + | 0.126230i | ||||
\(416\) | 1100.42 | + | 574.091i | 2.64525 | + | 1.38003i | ||||
\(417\) | 90.8236 | − | 246.797i | 0.217802 | − | 0.591839i | ||||
\(418\) | 349.260 | − | 68.0183i | 0.835550 | − | 0.162723i | ||||
\(419\) | −103.461 | + | 30.7066i | −0.246923 | + | 0.0732855i | −0.405620 | − | 0.914042i | \(-0.632944\pi\) |
0.158697 | + | 0.987327i | \(0.449271\pi\) | |||||||
\(420\) | −45.3401 | − | 20.0707i | −0.107953 | − | 0.0477875i | ||||
\(421\) | 34.2445 | − | 30.1126i | 0.0813408 | − | 0.0715264i | −0.618710 | − | 0.785620i | \(-0.712344\pi\) |
0.700051 | + | 0.714093i | \(0.253161\pi\) | |||||||
\(422\) | 307.227 | − | 297.533i | 0.728026 | − | 0.705054i | ||||
\(423\) | 4.26423 | + | 2.77570i | 0.0100809 | + | 0.00656195i | ||||
\(424\) | 778.598 | + | 2015.43i | 1.83632 | + | 4.75338i | ||||
\(425\) | −158.746 | + | 192.645i | −0.373521 | + | 0.453281i | ||||
\(426\) | 1167.92 | + | 93.8013i | 2.74160 | + | 0.220191i | ||||
\(427\) | 43.5384 | + | 9.93735i | 0.101963 | + | 0.0232725i | ||||
\(428\) | 967.813 | − | 629.976i | 2.26124 | − | 1.47191i | ||||
\(429\) | −183.800 | − | 132.640i | −0.428437 | − | 0.309184i | ||||
\(430\) | 171.006 | − | 82.3519i | 0.397687 | − | 0.191516i | ||||
\(431\) | −764.743 | + | 49.0981i | −1.77435 | + | 0.113917i | −0.916511 | − | 0.400009i | \(-0.869007\pi\) |
−0.857835 | + | 0.513925i | \(0.828191\pi\) | |||||||
\(432\) | 811.981 | − | 626.509i | 1.87959 | − | 1.45025i | ||||
\(433\) | −497.544 | − | 80.4391i | −1.14906 | − | 0.185772i | −0.444746 | − | 0.895657i | \(-0.646706\pi\) |
−0.704317 | + | 0.709885i | \(0.748747\pi\) | |||||||
\(434\) | 2.34817 | + | 24.3412i | 0.00541052 | + | 0.0560857i | ||||
\(435\) | 10.1814 | − | 52.2794i | 0.0234055 | − | 0.120183i | ||||
\(436\) | −838.505 | + | 1383.20i | −1.92318 | + | 3.17248i | ||||
\(437\) | 120.324 | + | 362.397i | 0.275341 | + | 0.829284i | ||||
\(438\) | −636.480 | − | 345.140i | −1.45315 | − | 0.787991i | ||||
\(439\) | −358.576 | − | 496.880i | −0.816802 | − | 1.13184i | −0.989165 | − | 0.146811i | \(-0.953099\pi\) |
0.172362 | − | 0.985034i | \(-0.444860\pi\) | |||||||
\(440\) | −31.0313 | + | 80.3257i | −0.0705256 | + | 0.182558i | ||||
\(441\) | 61.3769 | + | 108.981i | 0.139177 | + | 0.247122i | ||||
\(442\) | −548.566 | + | 97.7347i | −1.24110 | + | 0.221119i | ||||
\(443\) | −11.8886 | − | 370.730i | −0.0268366 | − | 0.836863i | −0.921101 | − | 0.389324i | \(-0.872709\pi\) |
0.894264 | − | 0.447539i | \(-0.147699\pi\) | |||||||
\(444\) | −1173.09 | + | 327.804i | −2.64210 | + | 0.738297i | ||||
\(445\) | −10.1666 | + | 11.1945i | −0.0228462 | + | 0.0251562i | ||||
\(446\) | −770.201 | − | 355.816i | −1.72691 | − | 0.797794i | ||||
\(447\) | 114.451 | + | 258.546i | 0.256042 | + | 0.578402i | ||||
\(448\) | 180.698 | − | 153.830i | 0.403343 | − | 0.343371i | ||||
\(449\) | −97.3648 | + | 293.247i | −0.216848 | + | 0.653112i | 0.782681 | + | 0.622423i | \(0.213852\pi\) |
−0.999529 | + | 0.0306886i | \(0.990230\pi\) | |||||||
\(450\) | −182.857 | + | 171.494i | −0.406349 | + | 0.381097i | ||||
\(451\) | −65.2617 | + | 84.5819i | −0.144704 | + | 0.187543i | ||||
\(452\) | 517.284 | + | 348.644i | 1.14443 | + | 0.771337i | ||||
\(453\) | 230.301 | + | 29.6940i | 0.508390 | + | 0.0655497i | ||||
\(454\) | −358.851 | − | 975.114i | −0.790421 | − | 2.14783i | ||||
\(455\) | −10.5763 | − | 17.4467i | −0.0232446 | − | 0.0383443i | ||||
\(456\) | 1071.98 | − | 1259.20i | 2.35083 | − | 2.76141i | ||||
\(457\) | 81.3673 | − | 274.153i | 0.178047 | − | 0.599898i | −0.821512 | − | 0.570191i | \(-0.806869\pi\) |
0.999559 | − | 0.0297069i | \(-0.00945739\pi\) | |||||||
\(458\) | −921.894 | − | 88.9340i | −2.01287 | − | 0.194179i | ||||
\(459\) | −55.8250 | + | 212.885i | −0.121623 | + | 0.463802i | ||||
\(460\) | −147.371 | − | 36.1310i | −0.320371 | − | 0.0785456i | ||||
\(461\) | −717.675 | − | 200.544i | −1.55678 | − | 0.435019i | −0.619903 | − | 0.784679i | \(-0.712828\pi\) |
−0.936877 | + | 0.349659i | \(0.886297\pi\) | |||||||
\(462\) | −89.0706 | + | 55.9668i | −0.192794 | + | 0.121140i | ||||
\(463\) | −90.2082 | + | 800.620i | −0.194834 | + | 1.72920i | 0.392409 | + | 0.919791i | \(0.371642\pi\) |
−0.587244 | + | 0.809410i | \(0.699787\pi\) | |||||||
\(464\) | 745.804 | + | 556.608i | 1.60734 | + | 1.19959i | ||||
\(465\) | −9.52830 | − | 2.99494i | −0.0204910 | − | 0.00644072i | ||||
\(466\) | −383.513 | + | 177.175i | −0.822990 | + | 0.380203i | ||||
\(467\) | −237.524 | − | 208.865i | −0.508616 | − | 0.447248i | 0.367024 | − | 0.930211i | \(-0.380377\pi\) |
−0.875640 | + | 0.482964i | \(0.839560\pi\) | |||||||
\(468\) | −401.835 | + | 19.3374i | −0.858621 | + | 0.0413192i | ||||
\(469\) | 180.135 | − | 105.288i | 0.384083 | − | 0.224495i | ||||
\(470\) | 4.49995 | − | 3.35840i | 0.00957437 | − | 0.00714553i | ||||
\(471\) | −310.548 | + | 108.666i | −0.659338 | + | 0.230712i | ||||
\(472\) | −2073.85 | − | 369.485i | −4.39374 | − | 0.782806i | ||||
\(473\) | 41.6161 | − | 286.483i | 0.0879834 | − | 0.605671i | ||||
\(474\) | −99.0335 | − | 1233.07i | −0.208931 | − | 2.60141i | ||||
\(475\) | 286.361 | − | 410.519i | 0.602864 | − | 0.864251i | ||||
\(476\) | −38.4590 | + | 181.891i | −0.0807963 | + | 0.382124i | ||||
\(477\) | −196.029 | − | 156.328i | −0.410962 | − | 0.327731i | ||||
\(478\) | −739.414 | + | 1176.77i | −1.54689 | + | 2.46186i | ||||
\(479\) | 323.017 | + | 355.678i | 0.674358 | + | 0.742543i | 0.977623 | − | 0.210363i | \(-0.0674646\pi\) |
−0.303265 | + | 0.952906i | \(0.598077\pi\) | |||||||
\(480\) | 70.5474 | + | 224.444i | 0.146974 | + | 0.467592i | ||||
\(481\) | −473.054 | − | 165.529i | −0.983481 | − | 0.344135i | ||||
\(482\) | 384.027 | + | 216.280i | 0.796737 | + | 0.448714i | ||||
\(483\) | −71.7910 | − | 87.1210i | −0.148636 | − | 0.180375i | ||||
\(484\) | −584.859 | − | 838.439i | −1.20839 | − | 1.73231i | ||||
\(485\) | 104.983 | − | 44.4742i | 0.216459 | − | 0.0916994i | ||||
\(486\) | −201.956 | + | 498.836i | −0.415548 | + | 1.02641i | ||||
\(487\) | −175.694 | + | 364.833i | −0.360768 | + | 0.749143i | −0.999799 | − | 0.0200381i | \(-0.993621\pi\) |
0.639031 | + | 0.769181i | \(0.279336\pi\) | |||||||
\(488\) | −282.128 | − | 520.277i | −0.578130 | − | 1.06614i | ||||
\(489\) | −182.400 | − | 171.065i | −0.373007 | − | 0.349827i | ||||
\(490\) | 136.261 | − | 22.0296i | 0.278083 | − | 0.0449583i | ||||
\(491\) | 101.025 | + | 385.254i | 0.205754 | + | 0.784631i | 0.987042 | + | 0.160460i | \(0.0512977\pi\) |
−0.781288 | + | 0.624171i | \(0.785437\pi\) | |||||||
\(492\) | 13.0668 | + | 815.152i | 0.0265585 | + | 1.65681i | ||||
\(493\) | −199.676 | + | 3.20079i | −0.405023 | + | 0.00649248i | ||||
\(494\) | 1080.73 | − | 283.399i | 2.18770 | − | 0.573683i | ||||
\(495\) | −1.59487 | − | 9.86485i | −0.00322196 | − | 0.0199290i | ||||
\(496\) | 119.381 | − | 127.291i | 0.240687 | − | 0.256635i | ||||
\(497\) | 141.404 | − | 76.6783i | 0.284515 | − | 0.154282i | ||||
\(498\) | 885.073 | + | 426.229i | 1.77726 | + | 0.855881i | ||||
\(499\) | 361.420 | + | 146.323i | 0.724288 | + | 0.293232i | 0.707585 | − | 0.706629i | \(-0.249785\pi\) |
0.0167037 | + | 0.999860i | \(0.494683\pi\) | |||||||
\(500\) | 157.195 | + | 371.063i | 0.314390 | + | 0.742127i | ||||
\(501\) | 110.033 | − | 76.7540i | 0.219626 | − | 0.153202i | ||||
\(502\) | 660.333 | − | 544.139i | 1.31540 | − | 1.08394i | ||||
\(503\) | 421.773 | − | 748.901i | 0.838515 | − | 1.48887i | −0.0335277 | − | 0.999438i | \(-0.510674\pi\) |
0.872043 | − | 0.489430i | \(-0.162795\pi\) | |||||||
\(504\) | −37.5559 | + | 107.329i | −0.0745157 | + | 0.212954i | ||||
\(505\) | −30.6963 | + | 9.64846i | −0.0607847 | + | 0.0191059i | ||||
\(506\) | −238.305 | + | 216.423i | −0.470959 | + | 0.427713i | ||||
\(507\) | −112.579 | − | 70.7380i | −0.222049 | − | 0.139523i | ||||
\(508\) | −1192.37 | + | 1495.19i | −2.34719 | + | 2.94328i | ||||
\(509\) | 641.576 | + | 135.655i | 1.26046 | + | 0.266512i | 0.788461 | − | 0.615085i | \(-0.210878\pi\) |
0.472003 | + | 0.881597i | \(0.343531\pi\) | |||||||
\(510\) | −86.6272 | − | 60.4274i | −0.169857 | − | 0.118485i | ||||
\(511\) | −99.0812 | + | 7.95767i | −0.193897 | + | 0.0155727i | ||||
\(512\) | 374.378 | + | 54.3843i | 0.731206 | + | 0.106219i | ||||
\(513\) | 77.4037 | − | 434.453i | 0.150884 | − | 0.846886i | ||||
\(514\) | 540.320 | + | 1544.15i | 1.05121 | + | 3.00417i | ||||
\(515\) | 44.2213 | + | 59.2526i | 0.0858667 | + | 0.115054i | ||||
\(516\) | −1114.78 | − | 1907.24i | −2.16042 | − | 3.69621i | ||||
\(517\) | −0.411653 | − | 8.55423i | −0.000796234 | − | 0.0165459i | ||||
\(518\) | −153.596 | + | 174.672i | −0.296517 | + | 0.337204i | ||||
\(519\) | 159.484 | + | 345.220i | 0.307291 | + | 0.665164i | ||||
\(520\) | −81.0770 | + | 257.944i | −0.155917 | + | 0.496046i | ||||
\(521\) | −370.522 | + | 496.466i | −0.711175 | + | 0.952910i | −0.999990 | − | 0.00447494i | \(-0.998576\pi\) |
0.288815 | + | 0.957385i | \(0.406739\pi\) | |||||||
\(522\) | −199.296 | − | 22.4552i | −0.381792 | − | 0.0430176i | ||||
\(523\) | 1.45151 | + | 2.31006i | 0.00277535 | + | 0.00441694i | 0.848109 | − | 0.529822i | \(-0.177741\pi\) |
−0.845334 | + | 0.534239i | \(0.820598\pi\) | |||||||
\(524\) | 624.306 | − | 2234.17i | 1.19142 | − | 4.26368i | ||||
\(525\) | −35.2356 | + | 143.719i | −0.0671155 | + | 0.273750i | ||||
\(526\) | −1817.46 | − | 476.593i | −3.45524 | − | 0.906071i | ||||
\(527\) | −3.59598 | + | 37.2761i | −0.00682350 | + | 0.0707327i | ||||
\(528\) | 719.674 | + | 213.595i | 1.36302 | + | 0.404537i | ||||
\(529\) | 139.755 | + | 118.975i | 0.264187 | + | 0.224905i | ||||
\(530\) | −236.617 | + | 143.439i | −0.446448 | + | 0.270639i | ||||
\(531\) | 229.412 | − | 84.4256i | 0.432037 | − | 0.158994i | ||||
\(532\) | 47.6698 | − | 369.717i | 0.0896049 | − | 0.694958i | ||||
\(533\) | −187.482 | + | 278.167i | −0.351749 | + | 0.521890i | ||||
\(534\) | 193.833 | + | 149.558i | 0.362983 | + | 0.280070i | ||||
\(535\) | 61.6136 | + | 65.6961i | 0.115166 | + | 0.122797i | ||||
\(536\) | −2624.32 | − | 871.335i | −4.89612 | − | 1.62563i | ||||
\(537\) | −264.942 | − | 311.216i | −0.493374 | − | 0.579546i | ||||
\(538\) | −1520.25 | + | 672.970i | −2.82574 | + | 1.25087i | ||||
\(539\) | 88.2920 | − | 191.117i | 0.163807 | − | 0.354577i | ||||
\(540\) | 129.813 | + | 117.892i | 0.240394 | + | 0.218319i | ||||
\(541\) | 135.365 | + | 484.423i | 0.250212 | + | 0.895421i | 0.977823 | + | 0.209431i | \(0.0671612\pi\) |
−0.727611 | + | 0.685990i | \(0.759369\pi\) | |||||||
\(542\) | 498.848 | − | 15.9971i | 0.920385 | − | 0.0295149i | ||||
\(543\) | −113.939 | − | 639.516i | −0.209832 | − | 1.17775i | ||||
\(544\) | 768.621 | − | 432.880i | 1.41291 | − | 0.795734i | ||||
\(545\) | −117.682 | − | 45.4626i | −0.215930 | − | 0.0834177i | ||||
\(546\) | −267.844 | + | 193.292i | −0.490558 | + | 0.354014i | ||||
\(547\) | 203.428 | − | 375.145i | 0.371897 | − | 0.685823i | −0.623483 | − | 0.781837i | \(-0.714283\pi\) |
0.995380 | + | 0.0960142i | \(0.0306094\pi\) | |||||||
\(548\) | −907.380 | + | 301.271i | −1.65580 | + | 0.549764i | ||||
\(549\) | 58.7330 | + | 35.6043i | 0.106982 | + | 0.0648530i | ||||
\(550\) | 414.182 | + | 80.6619i | 0.753058 | + | 0.146658i | ||||
\(551\) | 398.577 | − | 38.4503i | 0.723371 | − | 0.0697827i | ||||
\(552\) | −238.779 | + | 1476.93i | −0.432571 | + | 2.67560i | ||||
\(553\) | −103.745 | − | 134.457i | −0.187603 | − | 0.243142i | ||||
\(554\) | −19.3801 | − | 301.861i | −0.0349822 | − | 0.544875i | ||||
\(555\) | −41.2193 | − | 85.5928i | −0.0742690 | − | 0.154221i | ||||
\(556\) | −459.748 | + | 637.074i | −0.826885 | + | 1.14582i | ||||
\(557\) | −81.4192 | − | 125.082i | −0.146174 | − | 0.224563i | 0.757445 | − | 0.652898i | \(-0.226447\pi\) |
−0.903620 | + | 0.428335i | \(0.859100\pi\) | |||||||
\(558\) | −8.36889 | + | 36.6665i | −0.0149980 | + | 0.0657106i | ||||
\(559\) | 72.7706 | − | 906.068i | 0.130180 | − | 1.62087i | ||||
\(560\) | 52.1473 | + | 42.9714i | 0.0931203 | + | 0.0767346i | ||||
\(561\) | −150.271 | + | 58.0525i | −0.267863 | + | 0.103480i | ||||
\(562\) | 493.822 | − | 758.643i | 0.878687 | − | 1.34990i | ||||
\(563\) | −310.022 | − | 320.123i | −0.550660 | − | 0.568602i | 0.384366 | − | 0.923181i | \(-0.374420\pi\) |
−0.935026 | + | 0.354579i | \(0.884624\pi\) | |||||||
\(564\) | −43.1567 | − | 49.0784i | −0.0765190 | − | 0.0870184i | ||||
\(565\) | −19.6943 | + | 44.4898i | −0.0348572 | + | 0.0787430i | ||||
\(566\) | −4.31188 | − | 14.5282i | −0.00761817 | − | 0.0256681i | ||||
\(567\) | 33.2621 | + | 170.794i | 0.0586633 | + | 0.301224i | ||||
\(568\) | −2000.63 | − | 736.252i | −3.52224 | − | 1.29622i | ||||
\(569\) | 152.452 | − | 292.221i | 0.267929 | − | 0.513569i | −0.714634 | − | 0.699498i | \(-0.753407\pi\) |
0.982563 | + | 0.185929i | \(0.0595294\pi\) | |||||||
\(570\) | 182.841 | + | 106.870i | 0.320774 | + | 0.187491i | ||||
\(571\) | 314.708 | − | 35.4591i | 0.551153 | − | 0.0621000i | 0.168003 | − | 0.985786i | \(-0.446268\pi\) |
0.383149 | + | 0.923686i | \(0.374839\pi\) | |||||||
\(572\) | 422.194 | + | 529.414i | 0.738101 | + | 0.925550i | ||||
\(573\) | 564.461 | + | 1125.60i | 0.985097 | + | 1.96440i | ||||
\(574\) | 87.0108 | + | 129.098i | 0.151587 | + | 0.224909i | ||||
\(575\) | −29.0129 | + | 451.900i | −0.0504573 | + | 0.785913i | ||||
\(576\) | 338.297 | − | 136.961i | 0.587321 | − | 0.237780i | ||||
\(577\) | 18.7020 | + | 18.7020i | 0.0324125 | + | 0.0324125i | 0.723127 | − | 0.690715i | \(-0.242704\pi\) |
−0.690715 | + | 0.723127i | \(0.742704\pi\) | |||||||
\(578\) | 270.789 | − | 639.204i | 0.468492 | − | 1.10589i | ||||
\(579\) | 251.054 | + | 1187.36i | 0.433600 | + | 2.05070i | ||||
\(580\) | −71.3274 | + | 142.235i | −0.122978 | + | 0.245233i | ||||
\(581\) | 133.757 | − | 17.2461i | 0.230219 | − | 0.0296834i | ||||
\(582\) | −853.789 | − | 1636.55i | −1.46699 | − | 2.81195i | ||||
\(583\) | −20.2856 | + | 421.539i | −0.0347952 | + | 0.723051i | ||||
\(584\) | 946.310 | + | 916.450i | 1.62039 | + | 1.56926i | ||||
\(585\) | −6.98214 | − | 30.5907i | −0.0119353 | − | 0.0522919i | ||||
\(586\) | −1773.42 | + | 257.618i | −3.02632 | + | 0.439621i | ||||
\(587\) | −21.5869 | + | 673.159i | −0.0367749 | + | 1.14678i | 0.800269 | + | 0.599642i | \(0.204690\pi\) |
−0.837044 | + | 0.547136i | \(0.815718\pi\) | |||||||
\(588\) | −382.551 | − | 1560.35i | −0.650598 | − | 2.65365i | ||||
\(589\) | 1.20354 | − | 75.0807i | 0.00204336 | − | 0.127471i | ||||
\(590\) | − | 269.772i | − | 0.457240i | ||||||
\(591\) | 321.624 | − | 593.041i | 0.544202 | − | 1.00345i | ||||
\(592\) | 1659.90 | 2.80388 | ||||||||
\(593\) | 450.789 | + | 7.22610i | 0.760183 | + | 0.0121857i | 0.394916 | − | 0.918717i | \(-0.370774\pi\) |
0.365267 | + | 0.930903i | \(0.380978\pi\) | |||||||
\(594\) | 361.326 | − | 88.5863i | 0.608292 | − | 0.149135i | ||||
\(595\) | −14.4928 | − | 0.464757i | −0.0243577 | − | 0.000781104i | ||||
\(596\) | −121.431 | − | 835.920i | −0.203743 | − | 1.40255i | ||||
\(597\) | 163.582 | − | 37.3365i | 0.274006 | − | 0.0625402i | ||||
\(598\) | −703.192 | + | 726.104i | −1.17591 | + | 1.21422i | ||||
\(599\) | −128.020 | − | 6.16068i | −0.213723 | − | 0.0102849i | −0.0590705 | − | 0.998254i | \(-0.518814\pi\) |
−0.154653 | + | 0.987969i | \(0.549426\pi\) | |||||||
\(600\) | 1738.71 | − | 907.084i | 2.89785 | − | 1.51181i | ||||
\(601\) | 63.3427 | + | 491.273i | 0.105396 | + | 0.817427i | 0.956357 | + | 0.292199i | \(0.0943871\pi\) |
−0.850962 | + | 0.525227i | \(0.823980\pi\) | |||||||
\(602\) | −377.102 | − | 189.108i | −0.626416 | − | 0.314132i | ||||
\(603\) | 313.951 | − | 66.3817i | 0.520648 | − | 0.110086i | ||||
\(604\) | −638.759 | − | 270.600i | −1.05755 | − | 0.448013i | ||||
\(605\) | 56.3793 | − | 56.3793i | 0.0931889 | − | 0.0931889i | ||||
\(606\) | 195.492 | + | 482.868i | 0.322593 | + | 0.796812i | ||||
\(607\) | 34.5038 | + | 2.21522i | 0.0568432 | + | 0.00364945i | 0.0924658 | − | 0.995716i | \(-0.470525\pi\) |
−0.0356226 | + | 0.999365i | \(0.511341\pi\) | |||||||
\(608\) | −1466.75 | + | 988.575i | −2.41242 | + | 1.62595i | ||||
\(609\) | −105.821 | + | 53.0668i | −0.173762 | + | 0.0871376i | ||||
\(610\) | 59.2594 | − | 47.2578i | 0.0971466 | − | 0.0774718i | ||||
\(611\) | −3.01084 | − | 26.7220i | −0.00492773 | − | 0.0437348i | ||||
\(612\) | −144.283 | + | 246.851i | −0.235757 | + | 0.403351i | ||||
\(613\) | 677.535 | + | 353.470i | 1.10528 | + | 0.576623i | 0.914327 | − | 0.404977i | \(-0.132720\pi\) |
0.190951 | + | 0.981600i | \(0.438843\pi\) | |||||||
\(614\) | −577.287 | + | 1568.68i | −0.940207 | + | 2.55485i | ||||
\(615\) | −62.4135 | + | 12.1550i | −0.101485 | + | 0.0197643i | ||||
\(616\) | 183.484 | − | 54.4571i | 0.297864 | − | 0.0884044i | ||||
\(617\) | −243.348 | − | 107.723i | −0.394405 | − | 0.174591i | 0.198056 | − | 0.980191i | \(-0.436537\pi\) |
−0.592461 | + | 0.805599i | \(0.701843\pi\) | |||||||
\(618\) | 898.896 | − | 790.437i | 1.45452 | − | 1.27902i | ||||
\(619\) | 859.306 | − | 832.191i | 1.38822 | − | 1.34441i | 0.514907 | − | 0.857246i | \(-0.327827\pi\) |
0.873309 | − | 0.487166i | \(-0.161969\pi\) | |||||||
\(620\) | 25.0073 | + | 16.2780i | 0.0403344 | + | 0.0262548i | ||||
\(621\) | 143.871 | + | 372.417i | 0.231677 | + | 0.599705i | ||||
\(622\) | −586.746 | + | 712.039i | −0.943322 | + | 1.14476i | ||||
\(623\) | 33.5031 | + | 2.69079i | 0.0537770 | + | 0.00431908i | ||||
\(624\) | 2298.07 | + | 524.521i | 3.68281 | + | 0.840578i | ||||
\(625\) | 484.122 | − | 315.129i | 0.774596 | − | 0.504206i | ||||
\(626\) | −907.369 | − | 654.809i | −1.44947 | − | 1.04602i | ||||
\(627\) | 291.027 | − | 140.151i | 0.464158 | − | 0.223527i | ||||
\(628\) | 980.892 | − | 62.9754i | 1.56193 | − | 0.100279i | ||||
\(629\) | −282.013 | + | 217.596i | −0.448351 | + | 0.345939i | ||||
\(630\) | −14.3757 | − | 2.32415i | −0.0228185 | − | 0.00368912i | ||||
\(631\) | 65.0566 | + | 674.380i | 0.103101 | + | 1.06875i | 0.891327 | + | 0.453362i | \(0.149775\pi\) |
−0.788226 | + | 0.615386i | \(0.789000\pi\) | |||||||
\(632\) | −430.244 | + | 2209.21i | −0.680766 | + | 3.49559i | ||||
\(633\) | 201.268 | − | 332.012i | 0.317958 | − | 0.524505i | ||||
\(634\) | −460.382 | − | 1386.60i | −0.726155 | − | 2.18706i | ||||
\(635\) | −131.122 | − | 71.1027i | −0.206491 | − | 0.111973i | ||||
\(636\) | 1884.63 | + | 2611.54i | 2.96326 | + | 4.10620i | ||||
\(637\) | 238.215 | − | 616.630i | 0.373964 | − | 0.968022i | ||||
\(638\) | 165.654 | + | 294.135i | 0.259645 | + | 0.461027i | ||||
\(639\) | 243.554 | − | 43.3925i | 0.381149 | − | 0.0679070i | ||||
\(640\) | −4.10157 | − | 127.902i | −0.00640870 | − | 0.199847i | ||||
\(641\) | −20.5878 | + | 5.75295i | −0.0321182 | + | 0.00897496i | −0.285147 | − | 0.958484i | \(-0.592043\pi\) |
0.253029 | + | 0.967459i | \(0.418573\pi\) | |||||||
\(642\) | 980.339 | − | 1079.46i | 1.52701 | − | 1.68141i | ||||
\(643\) | 995.667 | + | 459.977i | 1.54847 | + | 0.715360i | 0.993212 | − | 0.116317i | \(-0.0371089\pi\) |
0.555259 | + | 0.831678i | \(0.312619\pi\) | |||||||
\(644\) | 136.515 | + | 308.389i | 0.211979 | + | 0.478865i | ||||
\(645\) | 131.199 | − | 111.691i | 0.203409 | − | 0.173165i | ||||
\(646\) | 250.218 | − | 753.617i | 0.387334 | − | 1.16659i | ||||
\(647\) | −243.589 | + | 228.451i | −0.376490 | + | 0.353093i | −0.849150 | − | 0.528151i | \(-0.822885\pi\) |
0.472661 | + | 0.881244i | \(0.343294\pi\) | |||||||
\(648\) | 1408.71 | − | 1825.75i | 2.17393 | − | 2.81751i | ||||
\(649\) | −341.198 | − | 229.964i | −0.525729 | − | 0.354337i | ||||
\(650\) | 1314.07 | + | 169.431i | 2.02165 | + | 0.260662i | ||||
\(651\) | 7.66695 | + | 20.8336i | 0.0117772 | + | 0.0320024i | ||||
\(652\) | 387.273 | + | 638.848i | 0.593978 | + | 0.979828i | ||||
\(653\) | 624.171 | − | 733.187i | 0.955851 | − | 1.12280i | −0.0364980 | − | 0.999334i | \(-0.511620\pi\) |
0.992349 | − | 0.123463i | \(-0.0394001\pi\) | |||||||
\(654\) | −581.142 | + | 1958.06i | −0.888597 | + | 2.99398i | ||||
\(655\) | 180.094 | + | 17.3734i | 0.274952 | + | 0.0265243i | ||||
\(656\) | 281.812 | − | 1074.67i | 0.429591 | − | 1.63822i | ||||
\(657\) | −148.476 | − | 36.4019i | −0.225991 | − | 0.0554062i | ||||
\(658\) | −12.0197 | − | 3.35874i | −0.0182671 | − | 0.00510447i | ||||
\(659\) | −400.356 | + | 251.561i | −0.607521 | + | 0.381731i | −0.800378 | − | 0.599496i | \(-0.795368\pi\) |
0.192857 | + | 0.981227i | \(0.438225\pi\) | |||||||
\(660\) | −14.3713 | + | 127.549i | −0.0217748 | + | 0.193256i | ||||
\(661\) | 53.5829 | + | 39.9899i | 0.0810634 | + | 0.0604992i | 0.637877 | − | 0.770138i | \(-0.279813\pi\) |
−0.556813 | + | 0.830638i | \(0.687976\pi\) | |||||||
\(662\) | 609.772 | + | 191.663i | 0.921105 | + | 0.289522i | ||||
\(663\) | −459.197 | + | 212.139i | −0.692605 | + | 0.319969i | ||||
\(664\) | −1342.22 | − | 1180.27i | −2.02141 | − | 1.77751i | ||||
\(665\) | 29.0413 | − | 1.39755i | 0.0436711 | − | 0.00210157i | ||||
\(666\) | −308.839 | + | 180.515i | −0.463723 | + | 0.271044i | ||||
\(667\) | −290.327 | + | 216.677i | −0.435273 | + | 0.324852i | ||||
\(668\) | −378.302 | + | 132.374i | −0.566320 | + | 0.198164i | ||||
\(669\) | −758.256 | − | 135.094i | −1.13342 | − | 0.201934i | ||||
\(670\) | 50.9083 | − | 350.449i | 0.0759825 | − | 0.523058i | ||||
\(671\) | −9.25497 | − | 115.234i | −0.0137928 | − | 0.171735i | ||||
\(672\) | 299.173 | − | 428.887i | 0.445198 | − | 0.638225i | ||||
\(673\) | −69.0999 | + | 326.806i | −0.102674 | + | 0.485596i | 0.896426 | + | 0.443193i | \(0.146154\pi\) |
−0.999101 | + | 0.0424030i | \(0.986499\pi\) | |||||||
\(674\) | −1327.41 | − | 1058.57i | −1.96945 | − | 1.57058i | ||||
\(675\) | 278.425 | − | 443.111i | 0.412482 | − | 0.656461i | ||||
\(676\) | 267.044 | + | 294.045i | 0.395035 | + | 0.434977i | ||||
\(677\) | −176.172 | − | 560.487i | −0.260225 | − | 0.827898i | −0.989608 | − | 0.143792i | \(-0.954070\pi\) |
0.729383 | − | 0.684105i | \(-0.239807\pi\) | |||||||
\(678\) | 743.498 | + | 260.161i | 1.09660 | + | 0.383718i | ||||
\(679\) | −220.804 | − | 124.355i | −0.325190 | − | 0.183144i | ||||
\(680\) | 122.209 | + | 148.305i | 0.179719 | + | 0.218096i | ||||
\(681\) | −539.649 | − | 773.628i | −0.792437 | − | 1.13602i | ||||
\(682\) | 58.2891 | − | 24.6933i | 0.0854679 | − | 0.0362071i | ||||
\(683\) | −273.325 | + | 675.119i | −0.400183 | + | 0.988461i | 0.584071 | + | 0.811703i | \(0.301459\pi\) |
−0.984254 | + | 0.176758i | \(0.943439\pi\) | |||||||
\(684\) | 248.752 | − | 516.540i | 0.363673 | − | 0.755175i | ||||
\(685\) | −35.5468 | − | 65.5526i | −0.0518932 | − | 0.0956972i | ||||
\(686\) | −462.903 | − | 434.137i | −0.674786 | − | 0.632853i | ||||
\(687\) | −830.005 | + | 134.189i | −1.20816 | + | 0.195326i | ||||
\(688\) | 763.639 | + | 2912.09i | 1.10994 | + | 4.23268i | ||||
\(689\) | 21.2393 | + | 1324.98i | 0.0308262 | + | 1.92304i | ||||
\(690\) | −191.576 | + | 3.07095i | −0.277647 | + | 0.00445065i | ||||
\(691\) | 1210.03 | − | 317.308i | 1.75113 | − | 0.459202i | 0.767752 | − | 0.640747i | \(-0.221375\pi\) |
0.983383 | + | 0.181546i | \(0.0581100\pi\) | |||||||
\(692\) | −181.317 | − | 1121.51i | −0.262019 | − | 1.62068i | ||||
\(693\) | −15.1939 | + | 16.2007i | −0.0219249 | + | 0.0233776i | ||||
\(694\) | 205.624 | − | 111.503i | 0.296289 | − | 0.160667i | ||||
\(695\) | −55.2080 | − | 26.5868i | −0.0794359 | − | 0.0382543i | ||||
\(696\) | 1454.24 | + | 588.756i | 2.08942 | + | 0.845914i | ||||
\(697\) | 92.9991 | + | 219.527i | 0.133428 | + | 0.314959i | ||||
\(698\) | 497.908 | − | 347.319i | 0.713335 | − | 0.497591i | ||||
\(699\) | −295.970 | + | 243.890i | −0.423419 | + | 0.348913i | ||||
\(700\) | 216.932 | − | 385.185i | 0.309903 | − | 0.550265i | ||||
\(701\) | −8.55142 | + | 24.4386i | −0.0121989 | + | 0.0348624i | −0.949822 | − | 0.312792i | \(-0.898736\pi\) |
0.937623 | + | 0.347654i | \(0.113022\pi\) | |||||||
\(702\) | 1114.40 | − | 350.277i | 1.58746 | − | 0.498970i | ||||
\(703\) | 528.727 | − | 480.176i | 0.752102 | − | 0.683039i | ||||
\(704\) | −520.154 | − | 326.835i | −0.738856 | − | 0.464254i | ||||
\(705\) | 3.17813 | − | 3.98525i | 0.00450799 | − | 0.00565284i | ||||
\(706\) | −1390.69 | − | 294.047i | −1.96981 | − | 0.416497i | ||||
\(707\) | 58.6570 | + | 40.9166i | 0.0829661 | + | 0.0578735i | ||||
\(708\) | −3129.85 | + | 251.373i | −4.42069 | + | 0.355046i | ||||
\(709\) | 942.284 | + | 136.882i | 1.32903 | + | 0.193063i | 0.771042 | − | 0.636785i | \(-0.219736\pi\) |
0.557990 | + | 0.829848i | \(0.311573\pi\) | |||||||
\(710\) | 47.8868 | − | 268.780i | 0.0674462 | − | 0.378563i | ||||
\(711\) | −86.2651 | − | 246.532i | −0.121329 | − | 0.346739i | ||||
\(712\) | −266.424 | − | 356.984i | −0.374191 | − | 0.501381i | ||||
\(713\) | 34.2811 | + | 58.6507i | 0.0480801 | + | 0.0822591i | ||||
\(714\) | 11.2841 | + | 234.486i | 0.0158041 | + | 0.328412i | ||||
\(715\) | −34.8758 | + | 39.6613i | −0.0487774 | + | 0.0554703i | ||||
\(716\) | 512.085 | + | 1108.46i | 0.715202 | + | 1.54813i | ||||
\(717\) | −378.316 | + | 1203.60i | −0.527637 | + | 1.67866i | ||||
\(718\) | 666.064 | − | 892.466i | 0.927666 | − | 1.24299i | ||||
\(719\) | 815.087 | + | 91.8383i | 1.13364 | + | 0.127731i | 0.658784 | − | 0.752332i | \(-0.271071\pi\) |
0.474857 | + | 0.880063i | \(0.342500\pi\) | |||||||
\(720\) | 55.2897 | + | 87.9930i | 0.0767912 | + | 0.122212i | ||||
\(721\) | 44.2258 | − | 158.268i | 0.0613395 | − | 0.219512i | ||||
\(722\) | −54.8589 | + | 223.758i | −0.0759818 | + | 0.309914i | ||||
\(723\) | 387.022 | + | 101.489i | 0.535299 | + | 0.140372i | ||||
\(724\) | −186.344 | + | 1931.65i | −0.257382 | + | 2.66803i | ||||
\(725\) | 455.234 | + | 135.111i | 0.627909 | + | 0.186360i | ||||
\(726\) | −982.916 | − | 836.769i | −1.35388 | − | 1.15257i | ||||
\(727\) | −649.828 | + | 393.930i | −0.893849 | + | 0.541857i | −0.888885 | − | 0.458131i | \(-0.848519\pi\) |
−0.00496454 | + | 0.999988i | \(0.501580\pi\) | |||||||
\(728\) | 563.994 | − | 207.555i | 0.774717 | − | 0.285103i | ||||
\(729\) | 50.4386 | − | 391.192i | 0.0691888 | − | 0.536614i | ||||
\(730\) | −94.2896 | + | 139.898i | −0.129164 | + | 0.191641i | ||||
\(731\) | −511.486 | − | 394.652i | −0.699707 | − | 0.539880i | ||||
\(732\) | −603.495 | − | 643.483i | −0.824447 | − | 0.879076i | ||||
\(733\) | −1206.95 | − | 400.734i | −1.64659 | − | 0.546704i | −0.666539 | − | 0.745470i | \(-0.732225\pi\) |
−0.980047 | + | 0.198765i | \(0.936307\pi\) | |||||||
\(734\) | −121.950 | − | 143.249i | −0.166144 | − | 0.195162i | ||||
\(735\) | 114.580 | − | 50.7210i | 0.155891 | − | 0.0690081i | ||||
\(736\) | 671.119 | − | 1452.71i | 0.911846 | − | 1.97378i | ||||
\(737\) | −399.840 | − | 363.124i | −0.542524 | − | 0.492706i | ||||
\(738\) | 64.4377 | + | 230.600i | 0.0873139 | + | 0.312466i | ||||
\(739\) | 910.652 | − | 29.2028i | 1.23228 | − | 0.0395167i | 0.590901 | − | 0.806744i | \(-0.298773\pi\) |
0.641375 | + | 0.767228i | \(0.278364\pi\) | |||||||
\(740\) | 49.7811 | + | 279.412i | 0.0672718 | + | 0.377584i | ||||
\(741\) | 883.740 | − | 497.713i | 1.19263 | − | 0.671678i | ||||
\(742\) | 573.683 | + | 221.624i | 0.773158 | + | 0.298685i | ||||
\(743\) | 205.724 | − | 148.462i | 0.276883 | − | 0.199815i | −0.438156 | − | 0.898899i | \(-0.644368\pi\) |
0.715039 | + | 0.699085i | \(0.246409\pi\) | |||||||
\(744\) | 140.246 | − | 258.630i | 0.188503 | − | 0.347621i | ||||
\(745\) | 62.5257 | − | 20.7600i | 0.0839272 | − | 0.0278657i | ||||
\(746\) | 1142.92 | + | 692.844i | 1.53206 | + | 0.928746i | ||||
\(747\) | 203.590 | + | 39.6492i | 0.272544 | + | 0.0530779i | ||||
\(748\) | 479.042 | − | 46.2126i | 0.640431 | − | 0.0617816i | ||||
\(749\) | 31.9501 | − | 197.623i | 0.0426570 | − | 0.263849i | ||||
\(750\) | 310.854 | + | 402.880i | 0.414472 | + | 0.537173i | ||||
\(751\) | 36.9028 | + | 574.792i | 0.0491383 | + | 0.765368i | 0.946224 | + | 0.323512i | \(0.104864\pi\) |
−0.897086 | + | 0.441856i | \(0.854320\pi\) | |||||||
\(752\) | 38.6429 | + | 80.2428i | 0.0513868 | + | 0.106706i | ||||
\(753\) | 454.549 | − | 629.869i | 0.603650 | − | 0.836479i | ||||
\(754\) | 578.251 | + | 888.349i | 0.766912 | + | 1.17818i | ||||
\(755\) | 12.0398 | − | 52.7497i | 0.0159467 | − | 0.0698672i | ||||
\(756\) | 31.2026 | − | 388.504i | 0.0412733 | − | 0.513895i | ||||
\(757\) | −208.757 | − | 172.024i | −0.275769 | − | 0.227244i | 0.487824 | − | 0.872942i | \(-0.337791\pi\) |
−0.763593 | + | 0.645698i | \(0.776566\pi\) | |||||||
\(758\) | −384.499 | + | 148.539i | −0.507254 | + | 0.195962i | ||||
\(759\) | −159.424 | + | 244.917i | −0.210044 | + | 0.322684i | ||||
\(760\) | −268.065 | − | 276.799i | −0.352717 | − | 0.364209i | ||||
\(761\) | −36.5988 | − | 41.6206i | −0.0480930 | − | 0.0546920i | 0.726414 | − | 0.687258i | \(-0.241186\pi\) |
−0.774507 | + | 0.632565i | \(0.782002\pi\) | |||||||
\(762\) | −977.499 | + | 2208.19i | −1.28281 | + | 2.89788i | ||||
\(763\) | 79.7829 | + | 268.815i | 0.104565 | + | 0.352313i | ||||
\(764\) | −719.106 | − | 3692.46i | −0.941238 | − | 4.83306i | ||||
\(765\) | −20.9286 | − | 7.70191i | −0.0273576 | − | 0.0100679i | ||||
\(766\) | −182.244 | + | 349.327i | −0.237916 | + | 0.456041i |