Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(13,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bh (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 13.9 | ||
Character | \(\chi\) | \(=\) | 570.13 |
Dual form | 570.2.bh.a.307.9 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.996195 | + | 0.0871557i | 0.704416 | + | 0.0616284i | ||||
\(3\) | 0.906308 | − | 0.422618i | 0.523257 | − | 0.243999i | ||||
\(4\) | 0.984808 | + | 0.173648i | 0.492404 | + | 0.0868241i | ||||
\(5\) | 0.998061 | + | 2.00097i | 0.446347 | + | 0.894860i | ||||
\(6\) | 0.939693 | − | 0.342020i | 0.383628 | − | 0.139629i | ||||
\(7\) | 0.394140 | + | 1.47095i | 0.148971 | + | 0.555967i | 0.999546 | + | 0.0301143i | \(0.00958712\pi\) |
−0.850575 | + | 0.525853i | \(0.823746\pi\) | |||||||
\(8\) | 0.965926 | + | 0.258819i | 0.341506 | + | 0.0915064i | ||||
\(9\) | 0.642788 | − | 0.766044i | 0.214263 | − | 0.255348i | ||||
\(10\) | 0.819868 | + | 2.08034i | 0.259265 | + | 0.657861i | ||||
\(11\) | −1.30477 | − | 2.25993i | −0.393403 | − | 0.681394i | 0.599493 | − | 0.800380i | \(-0.295369\pi\) |
−0.992896 | + | 0.118986i | \(0.962036\pi\) | |||||||
\(12\) | 0.965926 | − | 0.258819i | 0.278839 | − | 0.0747146i | ||||
\(13\) | 0.972392 | − | 2.08530i | 0.269693 | − | 0.578359i | −0.724088 | − | 0.689707i | \(-0.757739\pi\) |
0.993781 | + | 0.111349i | \(0.0355170\pi\) | |||||||
\(14\) | 0.264438 | + | 1.49971i | 0.0706742 | + | 0.400813i | ||||
\(15\) | 1.75020 | + | 1.39169i | 0.451899 | + | 0.359334i | ||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | −0.118246 | + | 1.35156i | −0.0286789 | + | 0.327801i | 0.968280 | + | 0.249869i | \(0.0803875\pi\) |
−0.996959 | + | 0.0779326i | \(0.975168\pi\) | |||||||
\(18\) | 0.707107 | − | 0.707107i | 0.166667 | − | 0.166667i | ||||
\(19\) | 2.17055 | + | 3.78004i | 0.497959 | + | 0.867200i | ||||
\(20\) | 0.635434 | + | 2.14388i | 0.142087 | + | 0.479386i | ||||
\(21\) | 0.978863 | + | 1.16656i | 0.213605 | + | 0.254565i | ||||
\(22\) | −1.10284 | − | 2.36505i | −0.235126 | − | 0.504230i | ||||
\(23\) | −1.48235 | + | 1.03795i | −0.309091 | + | 0.216428i | −0.717821 | − | 0.696228i | \(-0.754860\pi\) |
0.408731 | + | 0.912655i | \(0.365972\pi\) | |||||||
\(24\) | 0.984808 | − | 0.173648i | 0.201023 | − | 0.0354458i | ||||
\(25\) | −3.00775 | + | 3.99418i | −0.601549 | + | 0.798836i | ||||
\(26\) | 1.15044 | − | 1.99262i | 0.225619 | − | 0.390784i | ||||
\(27\) | 0.258819 | − | 0.965926i | 0.0498097 | − | 0.185893i | ||||
\(28\) | 0.132724 | + | 1.51705i | 0.0250825 | + | 0.286695i | ||||
\(29\) | −1.04343 | − | 0.875539i | −0.193760 | − | 0.162584i | 0.540747 | − | 0.841185i | \(-0.318142\pi\) |
−0.734506 | + | 0.678602i | \(0.762586\pi\) | |||||||
\(30\) | 1.62224 | + | 1.53894i | 0.296180 | + | 0.280970i | ||||
\(31\) | −6.80691 | − | 3.92997i | −1.22256 | − | 0.705843i | −0.257094 | − | 0.966386i | \(-0.582765\pi\) |
−0.965462 | + | 0.260543i | \(0.916098\pi\) | |||||||
\(32\) | 0.906308 | + | 0.422618i | 0.160214 | + | 0.0747091i | ||||
\(33\) | −2.13761 | − | 1.49677i | −0.372110 | − | 0.260554i | ||||
\(34\) | −0.235592 | + | 1.33611i | −0.0404038 | + | 0.229141i | ||||
\(35\) | −2.54995 | + | 2.25676i | −0.431020 | + | 0.381462i | ||||
\(36\) | 0.766044 | − | 0.642788i | 0.127674 | − | 0.107131i | ||||
\(37\) | 4.17901 | + | 4.17901i | 0.687024 | + | 0.687024i | 0.961573 | − | 0.274549i | \(-0.0885285\pi\) |
−0.274549 | + | 0.961573i | \(0.588528\pi\) | |||||||
\(38\) | 1.83284 | + | 3.95483i | 0.297326 | + | 0.641558i | ||||
\(39\) | − | 2.30088i | − | 0.368435i | ||||||
\(40\) | 0.446165 | + | 2.19110i | 0.0705448 | + | 0.346444i | ||||
\(41\) | 4.00476 | − | 11.0030i | 0.625438 | − | 1.71838i | −0.0678285 | − | 0.997697i | \(-0.521607\pi\) |
0.693267 | − | 0.720681i | \(-0.256171\pi\) | |||||||
\(42\) | 0.873465 | + | 1.24744i | 0.134779 | + | 0.192484i | ||||
\(43\) | 4.48916 | − | 6.41118i | 0.684590 | − | 0.977696i | −0.315001 | − | 0.949091i | \(-0.602005\pi\) |
0.999591 | − | 0.0286046i | \(-0.00910638\pi\) | |||||||
\(44\) | −0.892516 | − | 2.45217i | −0.134552 | − | 0.369678i | ||||
\(45\) | 2.17437 | + | 0.521638i | 0.324136 | + | 0.0777612i | ||||
\(46\) | −1.56717 | + | 0.904805i | −0.231066 | + | 0.133406i | ||||
\(47\) | −2.35543 | + | 0.206073i | −0.343575 | + | 0.0300589i | −0.257637 | − | 0.966242i | \(-0.582944\pi\) |
−0.0859373 | + | 0.996301i | \(0.527388\pi\) | |||||||
\(48\) | 0.996195 | − | 0.0871557i | 0.143788 | − | 0.0125798i | ||||
\(49\) | 4.05383 | − | 2.34048i | 0.579118 | − | 0.334354i | ||||
\(50\) | −3.34442 | + | 3.71684i | −0.472972 | + | 0.525640i | ||||
\(51\) | 0.464026 | + | 1.27490i | 0.0649767 | + | 0.178522i | ||||
\(52\) | 1.31973 | − | 1.88477i | 0.183013 | − | 0.261370i | ||||
\(53\) | −6.27045 | − | 8.95513i | −0.861312 | − | 1.23008i | −0.971706 | − | 0.236194i | \(-0.924100\pi\) |
0.110394 | − | 0.993888i | \(-0.464789\pi\) | |||||||
\(54\) | 0.342020 | − | 0.939693i | 0.0465430 | − | 0.127876i | ||||
\(55\) | 3.21980 | − | 4.86635i | 0.434158 | − | 0.656179i | ||||
\(56\) | 1.52284i | 0.203498i | ||||||||
\(57\) | 3.56470 | + | 2.50856i | 0.472156 | + | 0.332267i | ||||
\(58\) | −0.963148 | − | 0.963148i | −0.126468 | − | 0.126468i | ||||
\(59\) | −5.66938 | + | 4.75718i | −0.738091 | + | 0.619332i | −0.932324 | − | 0.361623i | \(-0.882223\pi\) |
0.194233 | + | 0.980955i | \(0.437778\pi\) | |||||||
\(60\) | 1.48194 | + | 1.67447i | 0.191318 | + | 0.216173i | ||||
\(61\) | −1.78456 | + | 10.1207i | −0.228489 | + | 1.29583i | 0.627411 | + | 0.778688i | \(0.284115\pi\) |
−0.855901 | + | 0.517140i | \(0.826997\pi\) | |||||||
\(62\) | −6.43848 | − | 4.50828i | −0.817688 | − | 0.572552i | ||||
\(63\) | 1.38016 | + | 0.643580i | 0.173884 | + | 0.0810835i | ||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | 5.14313 | − | 0.135533i | 0.637927 | − | 0.0168108i | ||||
\(66\) | −1.99902 | − | 1.67738i | −0.246063 | − | 0.206471i | ||||
\(67\) | −0.562296 | − | 6.42707i | −0.0686954 | − | 0.785192i | −0.949920 | − | 0.312494i | \(-0.898836\pi\) |
0.881224 | − | 0.472698i | \(-0.156720\pi\) | |||||||
\(68\) | −0.351146 | + | 1.31049i | −0.0425827 | + | 0.158921i | ||||
\(69\) | −0.904805 | + | 1.56717i | −0.108926 | + | 0.188665i | ||||
\(70\) | −2.73694 | + | 2.02593i | −0.327126 | + | 0.242145i | ||||
\(71\) | −4.79977 | + | 0.846329i | −0.569628 | + | 0.100441i | −0.451042 | − | 0.892503i | \(-0.648947\pi\) |
−0.118587 | + | 0.992944i | \(0.537836\pi\) | |||||||
\(72\) | 0.819152 | − | 0.573576i | 0.0965380 | − | 0.0675966i | ||||
\(73\) | −1.85998 | − | 3.98875i | −0.217695 | − | 0.466847i | 0.766885 | − | 0.641784i | \(-0.221806\pi\) |
−0.984580 | + | 0.174937i | \(0.944028\pi\) | |||||||
\(74\) | 3.79888 | + | 4.52733i | 0.441611 | + | 0.526291i | ||||
\(75\) | −1.03793 | + | 4.89108i | −0.119850 | + | 0.564774i | ||||
\(76\) | 1.48118 | + | 4.09952i | 0.169903 | + | 0.470248i | ||||
\(77\) | 2.80998 | − | 2.80998i | 0.320227 | − | 0.320227i | ||||
\(78\) | 0.200535 | − | 2.29212i | 0.0227061 | − | 0.259532i | ||||
\(79\) | −7.20261 | − | 2.62154i | −0.810357 | − | 0.294946i | −0.0965860 | − | 0.995325i | \(-0.530792\pi\) |
−0.713771 | + | 0.700379i | \(0.753014\pi\) | |||||||
\(80\) | 0.253499 | + | 2.22165i | 0.0283421 | + | 0.248388i | ||||
\(81\) | −0.173648 | − | 0.984808i | −0.0192942 | − | 0.109423i | ||||
\(82\) | 4.94849 | − | 10.6121i | 0.546470 | − | 1.17191i | ||||
\(83\) | −13.1868 | + | 3.53338i | −1.44744 | + | 0.387839i | −0.895131 | − | 0.445803i | \(-0.852918\pi\) |
−0.552305 | + | 0.833642i | \(0.686251\pi\) | |||||||
\(84\) | 0.761420 | + | 1.31882i | 0.0830778 | + | 0.143895i | ||||
\(85\) | −2.82244 | + | 1.11233i | −0.306137 | + | 0.120649i | ||||
\(86\) | 5.03085 | − | 5.99553i | 0.542490 | − | 0.646515i | ||||
\(87\) | −1.31568 | − | 0.352537i | −0.141056 | − | 0.0377959i | ||||
\(88\) | −0.675399 | − | 2.52062i | −0.0719978 | − | 0.268699i | ||||
\(89\) | −7.75612 | + | 2.82300i | −0.822148 | + | 0.299237i | −0.718632 | − | 0.695391i | \(-0.755231\pi\) |
−0.103516 | + | 0.994628i | \(0.533009\pi\) | |||||||
\(90\) | 2.12063 | + | 0.709162i | 0.223534 | + | 0.0747523i | ||||
\(91\) | 3.45064 | + | 0.608440i | 0.361725 | + | 0.0637819i | ||||
\(92\) | −1.64006 | + | 0.764774i | −0.170988 | + | 0.0797332i | ||||
\(93\) | −7.83003 | − | 0.685039i | −0.811936 | − | 0.0710352i | ||||
\(94\) | −2.36443 | −0.243872 | ||||||||
\(95\) | −5.39739 | + | 8.11592i | −0.553761 | + | 0.832676i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | 12.3616 | + | 1.08150i | 1.25513 | + | 0.109810i | 0.695252 | − | 0.718766i | \(-0.255293\pi\) |
0.559878 | + | 0.828575i | \(0.310848\pi\) | |||||||
\(98\) | 4.24239 | − | 1.97826i | 0.428546 | − | 0.199834i | ||||
\(99\) | −2.56990 | − | 0.453142i | −0.258284 | − | 0.0455425i | ||||
\(100\) | −3.65563 | + | 3.41121i | −0.365563 | + | 0.341121i | ||||
\(101\) | −0.681726 | + | 0.248128i | −0.0678343 | + | 0.0246897i | −0.375714 | − | 0.926735i | \(-0.622603\pi\) |
0.307880 | + | 0.951425i | \(0.400380\pi\) | |||||||
\(102\) | 0.351146 | + | 1.31049i | 0.0347686 | + | 0.129758i | ||||
\(103\) | 3.27493 | + | 0.877515i | 0.322688 | + | 0.0864641i | 0.416527 | − | 0.909123i | \(-0.363247\pi\) |
−0.0938386 | + | 0.995587i | \(0.529914\pi\) | |||||||
\(104\) | 1.47897 | − | 1.76257i | 0.145025 | − | 0.172835i | ||||
\(105\) | −1.35729 | + | 3.12298i | −0.132458 | + | 0.304771i | ||||
\(106\) | −5.46610 | − | 9.46756i | −0.530914 | − | 0.919571i | ||||
\(107\) | −0.244530 | + | 0.0655215i | −0.0236396 | + | 0.00633421i | −0.270619 | − | 0.962686i | \(-0.587229\pi\) |
0.246980 | + | 0.969021i | \(0.420562\pi\) | |||||||
\(108\) | 0.422618 | − | 0.906308i | 0.0406665 | − | 0.0872095i | ||||
\(109\) | −0.229524 | − | 1.30170i | −0.0219844 | − | 0.124680i | 0.971840 | − | 0.235640i | \(-0.0757186\pi\) |
−0.993825 | + | 0.110960i | \(0.964607\pi\) | |||||||
\(110\) | 3.63168 | − | 4.56721i | 0.346267 | − | 0.435466i | ||||
\(111\) | 5.55359 | + | 2.02134i | 0.527123 | + | 0.191857i | ||||
\(112\) | −0.132724 | + | 1.51705i | −0.0125413 | + | 0.143347i | ||||
\(113\) | −4.23487 | + | 4.23487i | −0.398383 | + | 0.398383i | −0.877663 | − | 0.479279i | \(-0.840898\pi\) |
0.479279 | + | 0.877663i | \(0.340898\pi\) | |||||||
\(114\) | 3.33250 | + | 2.80970i | 0.312117 | + | 0.263153i | ||||
\(115\) | −3.55638 | − | 1.93019i | −0.331634 | − | 0.179991i | ||||
\(116\) | −0.875539 | − | 1.04343i | −0.0812918 | − | 0.0968798i | ||||
\(117\) | −0.972392 | − | 2.08530i | −0.0898977 | − | 0.192786i | ||||
\(118\) | −6.06243 | + | 4.24496i | −0.558092 | + | 0.390780i | ||||
\(119\) | −2.03468 | + | 0.358770i | −0.186519 | + | 0.0328884i | ||||
\(120\) | 1.33036 | + | 1.79726i | 0.121445 | + | 0.164066i | ||||
\(121\) | 2.09515 | − | 3.62890i | 0.190468 | − | 0.329900i | ||||
\(122\) | −2.65985 | + | 9.92669i | −0.240811 | + | 0.898721i | ||||
\(123\) | −1.02052 | − | 11.6646i | −0.0920170 | − | 1.05176i | ||||
\(124\) | −6.02106 | − | 5.05227i | −0.540707 | − | 0.453707i | ||||
\(125\) | −10.9941 | − | 2.03197i | −0.983346 | − | 0.181745i | ||||
\(126\) | 1.31882 | + | 0.761420i | 0.117490 | + | 0.0678327i | ||||
\(127\) | 2.69851 | + | 1.25834i | 0.239454 | + | 0.111659i | 0.538642 | − | 0.842535i | \(-0.318938\pi\) |
−0.299187 | + | 0.954194i | \(0.596715\pi\) | |||||||
\(128\) | 0.819152 | + | 0.573576i | 0.0724035 | + | 0.0506975i | ||||
\(129\) | 1.35908 | − | 7.70770i | 0.119660 | − | 0.678626i | ||||
\(130\) | 5.13537 | + | 0.313236i | 0.450402 | + | 0.0274726i | ||||
\(131\) | −2.93255 | + | 2.46070i | −0.256218 | + | 0.214993i | −0.761845 | − | 0.647760i | \(-0.775706\pi\) |
0.505626 | + | 0.862753i | \(0.331262\pi\) | |||||||
\(132\) | −1.84522 | − | 1.84522i | −0.160606 | − | 0.160606i | ||||
\(133\) | −4.70475 | + | 4.68264i | −0.407954 | + | 0.406037i | ||||
\(134\) | − | 6.45162i | − | 0.557335i | ||||||
\(135\) | 2.19110 | − | 0.446165i | 0.188580 | − | 0.0383997i | ||||
\(136\) | −0.464026 | + | 1.27490i | −0.0397899 | + | 0.109322i | ||||
\(137\) | 2.37632 | + | 3.39374i | 0.203023 | + | 0.289946i | 0.907733 | − | 0.419549i | \(-0.137812\pi\) |
−0.704710 | + | 0.709495i | \(0.748923\pi\) | |||||||
\(138\) | −1.03795 | + | 1.48235i | −0.0883562 | + | 0.126186i | ||||
\(139\) | 2.72137 | + | 7.47690i | 0.230823 | + | 0.634182i | 0.999988 | − | 0.00486844i | \(-0.00154968\pi\) |
−0.769165 | + | 0.639051i | \(0.779327\pi\) | |||||||
\(140\) | −2.90309 | + | 1.77968i | −0.245356 | + | 0.150411i | ||||
\(141\) | −2.04765 | + | 1.18221i | −0.172444 | + | 0.0995604i | ||||
\(142\) | −4.85527 | + | 0.424781i | −0.407445 | + | 0.0356468i | ||||
\(143\) | −5.98138 | + | 0.523303i | −0.500188 | + | 0.0437608i | ||||
\(144\) | 0.866025 | − | 0.500000i | 0.0721688 | − | 0.0416667i | ||||
\(145\) | 0.710522 | − | 2.96171i | 0.0590056 | − | 0.245956i | ||||
\(146\) | −1.50526 | − | 4.13568i | −0.124576 | − | 0.342271i | ||||
\(147\) | 2.68489 | − | 3.83442i | 0.221446 | − | 0.316257i | ||||
\(148\) | 3.38984 | + | 4.84119i | 0.278643 | + | 0.397944i | ||||
\(149\) | −2.11745 | + | 5.81765i | −0.173468 | + | 0.476600i | −0.995709 | − | 0.0925397i | \(-0.970501\pi\) |
0.822241 | + | 0.569140i | \(0.192724\pi\) | |||||||
\(150\) | −1.46027 | + | 4.78201i | −0.119230 | + | 0.390449i | ||||
\(151\) | 10.2149i | 0.831273i | 0.909531 | + | 0.415637i | \(0.136441\pi\) | ||||
−0.909531 | + | 0.415637i | \(0.863559\pi\) | |||||||
\(152\) | 1.11825 | + | 4.21302i | 0.0907019 | + | 0.341721i | ||||
\(153\) | 0.959347 | + | 0.959347i | 0.0775586 | + | 0.0775586i | ||||
\(154\) | 3.04420 | − | 2.55438i | 0.245308 | − | 0.205838i | ||||
\(155\) | 1.07003 | − | 17.5428i | 0.0859471 | − | 1.40907i | ||||
\(156\) | 0.399543 | − | 2.26592i | 0.0319890 | − | 0.181419i | ||||
\(157\) | 14.3899 | + | 10.0759i | 1.14844 | + | 0.804144i | 0.983276 | − | 0.182123i | \(-0.0582968\pi\) |
0.165161 | + | 0.986267i | \(0.447186\pi\) | |||||||
\(158\) | −6.94672 | − | 3.23931i | −0.552652 | − | 0.257706i | ||||
\(159\) | −9.46756 | − | 5.46610i | −0.750826 | − | 0.433490i | ||||
\(160\) | 0.0589051 | + | 2.23529i | 0.00465686 | + | 0.176715i | ||||
\(161\) | −2.11103 | − | 1.77136i | −0.166372 | − | 0.139603i | ||||
\(162\) | −0.0871557 | − | 0.996195i | −0.00684760 | − | 0.0782684i | ||||
\(163\) | 5.36513 | − | 20.0229i | 0.420230 | − | 1.56832i | −0.353895 | − | 0.935285i | \(-0.615143\pi\) |
0.774125 | − | 0.633033i | \(-0.218190\pi\) | |||||||
\(164\) | 5.85457 | − | 10.1404i | 0.457165 | − | 0.791833i | ||||
\(165\) | 0.861525 | − | 5.77116i | 0.0670696 | − | 0.449284i | ||||
\(166\) | −13.4445 | + | 2.37064i | −1.04350 | + | 0.183997i | ||||
\(167\) | 17.3203 | − | 12.1278i | 1.34029 | − | 0.938480i | 0.340290 | − | 0.940320i | \(-0.389475\pi\) |
0.999998 | + | 0.00184029i | \(0.000585784\pi\) | |||||||
\(168\) | 0.643580 | + | 1.38016i | 0.0496533 | + | 0.106482i | ||||
\(169\) | 4.95330 | + | 5.90311i | 0.381023 | + | 0.454086i | ||||
\(170\) | −2.90865 | + | 0.862108i | −0.223083 | + | 0.0661206i | ||||
\(171\) | 4.29088 | + | 0.767022i | 0.328132 | + | 0.0586556i | ||||
\(172\) | 5.53425 | − | 5.53425i | 0.421982 | − | 0.421982i | ||||
\(173\) | 0.392518 | − | 4.48651i | 0.0298426 | − | 0.341103i | −0.966565 | − | 0.256420i | \(-0.917457\pi\) |
0.996408 | − | 0.0846824i | \(-0.0269876\pi\) | |||||||
\(174\) | −1.27995 | − | 0.465865i | −0.0970330 | − | 0.0353171i | ||||
\(175\) | −7.06071 | − | 2.84998i | −0.533740 | − | 0.215438i | ||||
\(176\) | −0.453142 | − | 2.56990i | −0.0341569 | − | 0.193713i | ||||
\(177\) | −3.12774 | + | 6.70745i | −0.235095 | + | 0.504163i | ||||
\(178\) | −7.97265 | + | 2.13627i | −0.597575 | + | 0.160120i | ||||
\(179\) | −4.88664 | − | 8.46390i | −0.365244 | − | 0.632622i | 0.623571 | − | 0.781767i | \(-0.285681\pi\) |
−0.988815 | + | 0.149145i | \(0.952348\pi\) | |||||||
\(180\) | 2.05076 | + | 0.891289i | 0.152854 | + | 0.0664328i | ||||
\(181\) | −4.77563 | + | 5.69137i | −0.354970 | + | 0.423036i | −0.913748 | − | 0.406280i | \(-0.866826\pi\) |
0.558779 | + | 0.829317i | \(0.311270\pi\) | |||||||
\(182\) | 3.38448 | + | 0.906868i | 0.250874 | + | 0.0672215i | ||||
\(183\) | 2.65985 | + | 9.92669i | 0.196622 | + | 0.733802i | ||||
\(184\) | −1.70048 | + | 0.618923i | −0.125361 | + | 0.0456276i | ||||
\(185\) | −4.19115 | + | 12.5330i | −0.308140 | + | 0.921442i | ||||
\(186\) | −7.74053 | − | 1.36486i | −0.567563 | − | 0.100077i | ||||
\(187\) | 3.20871 | − | 1.49625i | 0.234644 | − | 0.109416i | ||||
\(188\) | −2.35543 | − | 0.206073i | −0.171787 | − | 0.0150294i | ||||
\(189\) | 1.52284 | 0.110770 | ||||||||
\(190\) | −6.08420 | + | 7.61462i | −0.441394 | + | 0.552423i | ||||
\(191\) | −13.8262 | −1.00043 | −0.500215 | − | 0.865901i | \(-0.666746\pi\) | ||||
−0.500215 | + | 0.865901i | \(0.666746\pi\) | |||||||
\(192\) | 0.996195 | + | 0.0871557i | 0.0718942 | + | 0.00628992i | ||||
\(193\) | 23.8787 | − | 11.1348i | 1.71883 | − | 0.801502i | 0.725232 | − | 0.688504i | \(-0.241732\pi\) |
0.993595 | − | 0.112998i | \(-0.0360455\pi\) | |||||||
\(194\) | 12.2203 | + | 2.15477i | 0.877366 | + | 0.154703i | ||||
\(195\) | 4.60398 | − | 2.29642i | 0.329698 | − | 0.164450i | ||||
\(196\) | 4.39866 | − | 1.60098i | 0.314190 | − | 0.114356i | ||||
\(197\) | 2.14830 | + | 8.01756i | 0.153060 | + | 0.571227i | 0.999264 | + | 0.0383678i | \(0.0122159\pi\) |
−0.846204 | + | 0.532859i | \(0.821117\pi\) | |||||||
\(198\) | −2.52062 | − | 0.675399i | −0.179133 | − | 0.0479985i | ||||
\(199\) | −11.2439 | + | 13.4000i | −0.797061 | + | 0.949901i | −0.999568 | − | 0.0293800i | \(-0.990647\pi\) |
0.202507 | + | 0.979281i | \(0.435091\pi\) | |||||||
\(200\) | −3.93903 | + | 3.07962i | −0.278531 | + | 0.217762i | ||||
\(201\) | −3.22581 | − | 5.58727i | −0.227531 | − | 0.394096i | ||||
\(202\) | −0.700758 | + | 0.187767i | −0.0493051 | + | 0.0132113i | ||||
\(203\) | 0.876619 | − | 1.87991i | 0.0615266 | − | 0.131944i | ||||
\(204\) | 0.235592 | + | 1.33611i | 0.0164948 | + | 0.0935464i | ||||
\(205\) | 26.0136 | − | 2.96826i | 1.81687 | − | 0.207312i | ||||
\(206\) | 3.18599 | + | 1.15960i | 0.221978 | + | 0.0807935i | ||||
\(207\) | −0.157718 | + | 1.80272i | −0.0109622 | + | 0.125298i | ||||
\(208\) | 1.62697 | − | 1.62697i | 0.112810 | − | 0.112810i | ||||
\(209\) | 5.71055 | − | 9.83738i | 0.395007 | − | 0.680466i | ||||
\(210\) | −1.62431 | + | 2.99280i | −0.112088 | + | 0.206523i | ||||
\(211\) | −12.1279 | − | 14.4534i | −0.834918 | − | 0.995016i | −0.999962 | − | 0.00872989i | \(-0.997221\pi\) |
0.165044 | − | 0.986286i | \(-0.447223\pi\) | |||||||
\(212\) | −4.62014 | − | 9.90793i | −0.317313 | − | 0.680480i | ||||
\(213\) | −3.99240 | + | 2.79551i | −0.273555 | + | 0.191545i | ||||
\(214\) | −0.249310 | + | 0.0439600i | −0.0170425 | + | 0.00300505i | ||||
\(215\) | 17.3090 | + | 2.58391i | 1.18047 | + | 0.176221i | ||||
\(216\) | 0.500000 | − | 0.866025i | 0.0340207 | − | 0.0589256i | ||||
\(217\) | 3.09792 | − | 11.5616i | 0.210300 | − | 0.784852i | ||||
\(218\) | −0.115200 | − | 1.31675i | −0.00780236 | − | 0.0891814i | ||||
\(219\) | −3.37143 | − | 2.82897i | −0.227820 | − | 0.191164i | ||||
\(220\) | 4.01592 | − | 4.23331i | 0.270753 | − | 0.285410i | ||||
\(221\) | 2.70343 | + | 1.56083i | 0.181852 | + | 0.104992i | ||||
\(222\) | 5.35629 | + | 2.49768i | 0.359490 | + | 0.167633i | ||||
\(223\) | 5.35491 | + | 3.74955i | 0.358591 | + | 0.251088i | 0.738964 | − | 0.673745i | \(-0.235315\pi\) |
−0.380373 | + | 0.924833i | \(0.624204\pi\) | |||||||
\(224\) | −0.264438 | + | 1.49971i | −0.0176685 | + | 0.100203i | ||||
\(225\) | 1.12638 | + | 4.87148i | 0.0750917 | + | 0.324765i | ||||
\(226\) | −4.58785 | + | 3.84966i | −0.305179 | + | 0.256076i | ||||
\(227\) | 6.72873 | + | 6.72873i | 0.446601 | + | 0.446601i | 0.894223 | − | 0.447622i | \(-0.147729\pi\) |
−0.447622 | + | 0.894223i | \(0.647729\pi\) | |||||||
\(228\) | 3.07494 | + | 3.08946i | 0.203643 | + | 0.204604i | ||||
\(229\) | 13.9574i | 0.922332i | 0.887314 | + | 0.461166i | \(0.152569\pi\) | ||||
−0.887314 | + | 0.461166i | \(0.847431\pi\) | |||||||
\(230\) | −3.37462 | − | 2.23280i | −0.222516 | − | 0.147227i | ||||
\(231\) | 1.35916 | − | 3.73426i | 0.0894261 | − | 0.245696i | ||||
\(232\) | −0.781267 | − | 1.11576i | −0.0512927 | − | 0.0732535i | ||||
\(233\) | −9.65689 | + | 13.7915i | −0.632644 | + | 0.903509i | −0.999643 | − | 0.0267123i | \(-0.991496\pi\) |
0.366999 | + | 0.930221i | \(0.380385\pi\) | |||||||
\(234\) | −0.786946 | − | 2.16212i | −0.0514443 | − | 0.141342i | ||||
\(235\) | −2.76321 | − | 4.50747i | −0.180252 | − | 0.294035i | ||||
\(236\) | −6.40933 | + | 3.70043i | −0.417212 | + | 0.240877i | ||||
\(237\) | −7.63570 | + | 0.668037i | −0.495992 | + | 0.0433937i | ||||
\(238\) | −2.05821 | + | 0.180070i | −0.133414 | + | 0.0116722i | ||||
\(239\) | −21.8862 | + | 12.6360i | −1.41570 | + | 0.817355i | −0.995917 | − | 0.0902699i | \(-0.971227\pi\) |
−0.419783 | + | 0.907625i | \(0.637894\pi\) | |||||||
\(240\) | 1.16866 | + | 1.90637i | 0.0754366 | + | 0.123055i | ||||
\(241\) | 7.82661 | + | 21.5034i | 0.504156 | + | 1.38516i | 0.887182 | + | 0.461420i | \(0.152660\pi\) |
−0.383025 | + | 0.923738i | \(0.625118\pi\) | |||||||
\(242\) | 2.40345 | − | 3.43249i | 0.154500 | − | 0.220649i | ||||
\(243\) | −0.573576 | − | 0.819152i | −0.0367949 | − | 0.0525486i | ||||
\(244\) | −3.51490 | + | 9.65710i | −0.225018 | + | 0.618232i | ||||
\(245\) | 8.72919 | + | 5.77564i | 0.557688 | + | 0.368992i | ||||
\(246\) | − | 11.7091i | − | 0.746547i | ||||||
\(247\) | 9.99315 | − | 0.850579i | 0.635849 | − | 0.0541210i | ||||
\(248\) | −5.55782 | − | 5.55782i | −0.352922 | − | 0.352922i | ||||
\(249\) | −10.4580 | + | 8.77530i | −0.662749 | + | 0.556112i | ||||
\(250\) | −10.7752 | − | 2.98244i | −0.681484 | − | 0.188626i | ||||
\(251\) | 2.15841 | − | 12.2409i | 0.136237 | − | 0.772640i | −0.837753 | − | 0.546050i | \(-0.816131\pi\) |
0.973990 | − | 0.226591i | \(-0.0727579\pi\) | |||||||
\(252\) | 1.24744 | + | 0.873465i | 0.0785812 | + | 0.0550232i | ||||
\(253\) | 4.27981 | + | 1.99571i | 0.269070 | + | 0.125469i | ||||
\(254\) | 2.57857 | + | 1.48874i | 0.161794 | + | 0.0934119i | ||||
\(255\) | −2.08791 | + | 2.20093i | −0.130750 | + | 0.137828i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −0.197037 | − | 2.25214i | −0.0122908 | − | 0.140485i | 0.987570 | − | 0.157181i | \(-0.0502407\pi\) |
−0.999861 | + | 0.0166963i | \(0.994685\pi\) | |||||||
\(258\) | 2.02568 | − | 7.55992i | 0.126113 | − | 0.470660i | ||||
\(259\) | −4.50000 | + | 7.79423i | −0.279616 | + | 0.484310i | ||||
\(260\) | 5.08853 | + | 0.759621i | 0.315577 | + | 0.0471097i | ||||
\(261\) | −1.34140 | + | 0.236526i | −0.0830308 | + | 0.0146406i | ||||
\(262\) | −3.13586 | + | 2.19575i | −0.193734 | + | 0.135654i | ||||
\(263\) | −1.21053 | − | 2.59599i | −0.0746446 | − | 0.160076i | 0.865444 | − | 0.501005i | \(-0.167036\pi\) |
−0.940089 | + | 0.340929i | \(0.889258\pi\) | |||||||
\(264\) | −1.67738 | − | 1.99902i | −0.103236 | − | 0.123031i | ||||
\(265\) | 11.6606 | − | 21.4847i | 0.716307 | − | 1.31980i | ||||
\(266\) | −5.09497 | + | 4.25478i | −0.312392 | + | 0.260877i | ||||
\(267\) | −5.83639 | + | 5.83639i | −0.357181 | + | 0.357181i | ||||
\(268\) | 0.562296 | − | 6.42707i | 0.0343477 | − | 0.392596i | ||||
\(269\) | 18.2939 | + | 6.65843i | 1.11540 | + | 0.405972i | 0.832971 | − | 0.553317i | \(-0.186638\pi\) |
0.282428 | + | 0.959289i | \(0.408860\pi\) | |||||||
\(270\) | 2.22165 | − | 0.253499i | 0.135205 | − | 0.0154275i | ||||
\(271\) | −0.154300 | − | 0.875081i | −0.00937308 | − | 0.0531574i | 0.979762 | − | 0.200164i | \(-0.0641474\pi\) |
−0.989136 | + | 0.147006i | \(0.953036\pi\) | |||||||
\(272\) | −0.573376 | + | 1.22961i | −0.0347660 | + | 0.0745559i | ||||
\(273\) | 3.38448 | − | 0.906868i | 0.204838 | − | 0.0548861i | ||||
\(274\) | 2.07149 | + | 3.58793i | 0.125143 | + | 0.216755i | ||||
\(275\) | 12.9510 | + | 1.58581i | 0.780973 | + | 0.0956279i | ||||
\(276\) | −1.16320 | + | 1.38624i | −0.0700161 | + | 0.0834420i | ||||
\(277\) | −26.6558 | − | 7.14239i | −1.60159 | − | 0.429145i | −0.656068 | − | 0.754702i | \(-0.727781\pi\) |
−0.945522 | + | 0.325557i | \(0.894448\pi\) | |||||||
\(278\) | 2.05936 | + | 7.68563i | 0.123512 | + | 0.460953i | ||||
\(279\) | −7.38593 | + | 2.68826i | −0.442184 | + | 0.160942i | ||||
\(280\) | −3.04716 | + | 1.51989i | −0.182102 | + | 0.0908307i | ||||
\(281\) | −3.35930 | − | 0.592334i | −0.200399 | − | 0.0353357i | 0.0725476 | − | 0.997365i | \(-0.476887\pi\) |
−0.272946 | + | 0.962029i | \(0.587998\pi\) | |||||||
\(282\) | −2.14290 | + | 0.999250i | −0.127608 | + | 0.0595045i | ||||
\(283\) | 27.1089 | + | 2.37172i | 1.61145 | + | 0.140984i | 0.856981 | − | 0.515348i | \(-0.172337\pi\) |
0.754473 | + | 0.656332i | \(0.227893\pi\) | |||||||
\(284\) | −4.87382 | −0.289208 | ||||||||
\(285\) | −1.46176 | + | 9.63656i | −0.0865874 | + | 0.570820i | ||||
\(286\) | −6.00423 | −0.355038 | ||||||||
\(287\) | 17.7633 | + | 1.55409i | 1.04853 | + | 0.0917348i | ||||
\(288\) | 0.906308 | − | 0.422618i | 0.0534047 | − | 0.0249030i | ||||
\(289\) | 14.9290 | + | 2.63239i | 0.878177 | + | 0.154846i | ||||
\(290\) | 0.965948 | − | 2.88851i | 0.0567224 | − | 0.169619i | ||||
\(291\) | 11.6605 | − | 4.24407i | 0.683549 | − | 0.248792i | ||||
\(292\) | −1.13909 | − | 4.25113i | −0.0666600 | − | 0.248779i | ||||
\(293\) | 23.0953 | + | 6.18835i | 1.34924 | + | 0.361527i | 0.859854 | − | 0.510540i | \(-0.170555\pi\) |
0.489385 | + | 0.872068i | \(0.337221\pi\) | |||||||
\(294\) | 3.00886 | − | 3.58582i | 0.175480 | − | 0.209129i | ||||
\(295\) | −15.1774 | − | 6.59630i | −0.883660 | − | 0.384052i | ||||
\(296\) | 2.95500 | + | 5.11822i | 0.171756 | + | 0.297490i | ||||
\(297\) | −2.52062 | + | 0.675399i | −0.146261 | + | 0.0391906i | ||||
\(298\) | −2.61643 | + | 5.61096i | −0.151566 | + | 0.325034i | ||||
\(299\) | 0.723017 | + | 4.10043i | 0.0418132 | + | 0.237134i | ||||
\(300\) | −1.87149 | + | 4.63654i | −0.108051 | + | 0.267691i | ||||
\(301\) | 11.1999 | + | 4.07643i | 0.645551 | + | 0.234961i | ||||
\(302\) | −0.890283 | + | 10.1760i | −0.0512300 | + | 0.585562i | ||||
\(303\) | −0.512990 | + | 0.512990i | −0.0294705 | + | 0.0294705i | ||||
\(304\) | 0.746804 | + | 4.29445i | 0.0428321 | + | 0.246303i | ||||
\(305\) | −22.0324 | + | 6.53027i | −1.26157 | + | 0.373922i | ||||
\(306\) | 0.872084 | + | 1.03931i | 0.0498537 | + | 0.0594134i | ||||
\(307\) | −10.6780 | − | 22.8991i | −0.609428 | − | 1.30692i | −0.932713 | − | 0.360620i | \(-0.882565\pi\) |
0.323285 | − | 0.946302i | \(-0.395213\pi\) | |||||||
\(308\) | 3.25524 | − | 2.27934i | 0.185485 | − | 0.129878i | ||||
\(309\) | 3.33895 | − | 0.588747i | 0.189946 | − | 0.0334926i | ||||
\(310\) | 2.59491 | − | 17.3827i | 0.147381 | − | 0.987273i | ||||
\(311\) | 5.99155 | − | 10.3777i | 0.339749 | − | 0.588463i | −0.644636 | − | 0.764490i | \(-0.722991\pi\) |
0.984385 | + | 0.176026i | \(0.0563244\pi\) | |||||||
\(312\) | 0.595511 | − | 2.22248i | 0.0337142 | − | 0.125823i | ||||
\(313\) | 0.639055 | + | 7.30443i | 0.0361215 | + | 0.412871i | 0.992632 | + | 0.121172i | \(0.0386651\pi\) |
−0.956510 | + | 0.291699i | \(0.905779\pi\) | |||||||
\(314\) | 13.4569 | + | 11.2917i | 0.759419 | + | 0.637228i | ||||
\(315\) | 0.0897031 | + | 3.40399i | 0.00505420 | + | 0.191793i | ||||
\(316\) | −6.63797 | − | 3.83243i | −0.373415 | − | 0.215591i | ||||
\(317\) | 26.4519 | + | 12.3347i | 1.48569 | + | 0.692787i | 0.984954 | − | 0.172816i | \(-0.0552865\pi\) |
0.500732 | + | 0.865602i | \(0.333064\pi\) | |||||||
\(318\) | −8.95513 | − | 6.27045i | −0.502179 | − | 0.351629i | ||||
\(319\) | −0.617224 | + | 3.50045i | −0.0345579 | + | 0.195987i | ||||
\(320\) | −0.136138 | + | 2.23192i | −0.00761032 | + | 0.124768i | ||||
\(321\) | −0.193929 | + | 0.162725i | −0.0108240 | + | 0.00908245i | ||||
\(322\) | −1.94861 | − | 1.94861i | −0.108592 | − | 0.108592i | ||||
\(323\) | −5.36561 | + | 2.48666i | −0.298550 | + | 0.138361i | ||||
\(324\) | − | 1.00000i | − | 0.0555556i | ||||||
\(325\) | 5.40436 | + | 10.1560i | 0.299780 | + | 0.563352i | ||||
\(326\) | 7.08983 | − | 19.4791i | 0.392669 | − | 1.07885i | ||||
\(327\) | −0.758140 | − | 1.08274i | −0.0419253 | − | 0.0598755i | ||||
\(328\) | 6.71608 | − | 9.59156i | 0.370834 | − | 0.529605i | ||||
\(329\) | −1.23149 | − | 3.38350i | −0.0678944 | − | 0.186538i | ||||
\(330\) | 1.36124 | − | 5.67411i | 0.0749336 | − | 0.312350i | ||||
\(331\) | −29.1164 | + | 16.8104i | −1.60038 | + | 0.923982i | −0.608974 | + | 0.793190i | \(0.708419\pi\) |
−0.991410 | + | 0.130792i | \(0.958248\pi\) | |||||||
\(332\) | −13.6000 | + | 1.18985i | −0.746397 | + | 0.0653013i | ||||
\(333\) | 5.88752 | − | 0.515091i | 0.322634 | − | 0.0282268i | ||||
\(334\) | 18.3114 | − | 10.5721i | 1.00196 | − | 0.578481i | ||||
\(335\) | 12.2992 | − | 7.53975i | 0.671975 | − | 0.411941i | ||||
\(336\) | 0.520842 | + | 1.43100i | 0.0284143 | + | 0.0780676i | ||||
\(337\) | −8.67136 | + | 12.3840i | −0.472359 | + | 0.674598i | −0.982664 | − | 0.185395i | \(-0.940644\pi\) |
0.510305 | + | 0.859993i | \(0.329532\pi\) | |||||||
\(338\) | 4.41996 | + | 6.31236i | 0.240414 | + | 0.343347i | ||||
\(339\) | −2.04836 | + | 5.62783i | −0.111252 | + | 0.305662i | ||||
\(340\) | −2.97272 | + | 0.605321i | −0.161218 | + | 0.0328282i | ||||
\(341\) | 20.5108i | 1.11072i | ||||||||
\(342\) | 4.20770 | + | 1.13808i | 0.227527 | + | 0.0615402i | ||||
\(343\) | 12.5782 | + | 12.5782i | 0.679158 | + | 0.679158i | ||||
\(344\) | 5.99553 | − | 5.03085i | 0.323257 | − | 0.271245i | ||||
\(345\) | −4.03891 | − | 0.246356i | −0.217447 | − | 0.0132634i | ||||
\(346\) | 0.782050 | − | 4.43522i | 0.0420433 | − | 0.238439i | ||||
\(347\) | 23.4498 | + | 16.4197i | 1.25885 | + | 0.881456i | 0.996506 | − | 0.0835191i | \(-0.0266160\pi\) |
0.262343 | + | 0.964975i | \(0.415505\pi\) | |||||||
\(348\) | −1.23448 | − | 0.575647i | −0.0661750 | − | 0.0308579i | ||||
\(349\) | −0.949169 | − | 0.548003i | −0.0508078 | − | 0.0293339i | 0.474381 | − | 0.880320i | \(-0.342672\pi\) |
−0.525189 | + | 0.850986i | \(0.676005\pi\) | |||||||
\(350\) | −6.78545 | − | 3.45452i | −0.362698 | − | 0.184652i | ||||
\(351\) | −1.76257 | − | 1.47897i | −0.0940792 | − | 0.0789418i | ||||
\(352\) | −0.227437 | − | 2.59961i | −0.0121224 | − | 0.138560i | ||||
\(353\) | 7.98030 | − | 29.7829i | 0.424748 | − | 1.58518i | −0.339724 | − | 0.940525i | \(-0.610334\pi\) |
0.764472 | − | 0.644657i | \(-0.223000\pi\) | |||||||
\(354\) | −3.70043 | + | 6.40933i | −0.196676 | + | 0.340652i | ||||
\(355\) | −6.48394 | − | 8.75950i | −0.344132 | − | 0.464906i | ||||
\(356\) | −8.12850 | + | 1.43327i | −0.430810 | + | 0.0759634i | ||||
\(357\) | −1.69243 | + | 1.18505i | −0.0895727 | + | 0.0627195i | ||||
\(358\) | −4.13036 | − | 8.85759i | −0.218296 | − | 0.468138i | ||||
\(359\) | 2.01609 | + | 2.40269i | 0.106405 | + | 0.126809i | 0.816619 | − | 0.577178i | \(-0.195846\pi\) |
−0.710213 | + | 0.703987i | \(0.751402\pi\) | |||||||
\(360\) | 1.96527 | + | 1.06663i | 0.103579 | + | 0.0562165i | ||||
\(361\) | −9.57739 | + | 16.4096i | −0.504073 | + | 0.863661i | ||||
\(362\) | −5.25349 | + | 5.25349i | −0.276117 | + | 0.276117i | ||||
\(363\) | 0.365208 | − | 4.17435i | 0.0191685 | − | 0.219096i | ||||
\(364\) | 3.29256 | + | 1.19839i | 0.172577 | + | 0.0628129i | ||||
\(365\) | 6.12498 | − | 7.70278i | 0.320596 | − | 0.403182i | ||||
\(366\) | 1.78456 | + | 10.1207i | 0.0932804 | + | 0.529020i | ||||
\(367\) | −1.42950 | + | 3.06557i | −0.0746192 | + | 0.160021i | −0.940079 | − | 0.340957i | \(-0.889249\pi\) |
0.865460 | + | 0.500979i | \(0.167027\pi\) | |||||||
\(368\) | −1.74795 | + | 0.468362i | −0.0911182 | + | 0.0244150i | ||||
\(369\) | −5.85457 | − | 10.1404i | −0.304777 | − | 0.527889i | ||||
\(370\) | −5.26752 | + | 12.1200i | −0.273846 | + | 0.630088i | ||||
\(371\) | 10.7011 | − | 12.7531i | 0.555574 | − | 0.662108i | ||||
\(372\) | −7.59212 | − | 2.03430i | −0.393633 | − | 0.105474i | ||||
\(373\) | 0.814995 | + | 3.04160i | 0.0421988 | + | 0.157488i | 0.983810 | − | 0.179214i | \(-0.0573553\pi\) |
−0.941611 | + | 0.336702i | \(0.890689\pi\) | |||||||
\(374\) | 3.32691 | − | 1.21090i | 0.172030 | − | 0.0626139i | ||||
\(375\) | −10.8228 | + | 2.80473i | −0.558888 | + | 0.144836i | ||||
\(376\) | −2.32851 | − | 0.410579i | −0.120084 | − | 0.0211740i | ||||
\(377\) | −2.84038 | + | 1.32449i | −0.146287 | + | 0.0682149i | ||||
\(378\) | 1.51705 | + | 0.132724i | 0.0780284 | + | 0.00682660i | ||||
\(379\) | 5.11204 | 0.262588 | 0.131294 | − | 0.991343i | \(-0.458087\pi\) | ||||
0.131294 | + | 0.991343i | \(0.458087\pi\) | |||||||
\(380\) | −6.72471 | + | 7.05537i | −0.344970 | + | 0.361933i | ||||
\(381\) | 2.97748 | 0.152541 | ||||||||
\(382\) | −13.7736 | − | 1.20503i | −0.704719 | − | 0.0616549i | ||||
\(383\) | 13.5037 | − | 6.29686i | 0.690004 | − | 0.321754i | −0.0457979 | − | 0.998951i | \(-0.514583\pi\) |
0.735802 | + | 0.677196i | \(0.236805\pi\) | |||||||
\(384\) | 0.984808 | + | 0.173648i | 0.0502558 | + | 0.00886145i | ||||
\(385\) | 8.42722 | + | 2.81815i | 0.429491 | + | 0.143626i | ||||
\(386\) | 24.7583 | − | 9.01129i | 1.26017 | − | 0.458663i | ||||
\(387\) | −2.02568 | − | 7.55992i | −0.102971 | − | 0.384292i | ||||
\(388\) | 11.9860 | + | 3.21164i | 0.608497 | + | 0.163046i | ||||
\(389\) | 15.5406 | − | 18.5206i | 0.787942 | − | 0.939033i | −0.211321 | − | 0.977417i | \(-0.567777\pi\) |
0.999263 | + | 0.0383841i | \(0.0122210\pi\) | |||||||
\(390\) | 4.78661 | − | 1.88641i | 0.242379 | − | 0.0955223i | ||||
\(391\) | −1.22757 | − | 2.12621i | −0.0620808 | − | 0.107527i | ||||
\(392\) | 4.52146 | − | 1.21152i | 0.228368 | − | 0.0611910i | ||||
\(393\) | −1.61786 | + | 3.46951i | −0.0816101 | + | 0.175013i | ||||
\(394\) | 1.44135 | + | 8.17428i | 0.0726140 | + | 0.411814i | ||||
\(395\) | −1.94304 | − | 17.0287i | −0.0977649 | − | 0.856805i | ||||
\(396\) | −2.45217 | − | 0.892516i | −0.123226 | − | 0.0448506i | ||||
\(397\) | 0.893081 | − | 10.2080i | 0.0448224 | − | 0.512323i | −0.940286 | − | 0.340386i | \(-0.889442\pi\) |
0.985108 | − | 0.171936i | \(-0.0550024\pi\) | |||||||
\(398\) | −12.3690 | + | 12.3690i | −0.620004 | + | 0.620004i | ||||
\(399\) | −2.28498 | + | 6.23223i | −0.114392 | + | 0.312002i | ||||
\(400\) | −4.19245 | + | 2.72459i | −0.209622 | + | 0.136229i | ||||
\(401\) | 17.0688 | + | 20.3419i | 0.852377 | + | 1.01582i | 0.999643 | + | 0.0267267i | \(0.00850840\pi\) |
−0.147265 | + | 0.989097i | \(0.547047\pi\) | |||||||
\(402\) | −2.72657 | − | 5.84716i | −0.135989 | − | 0.291630i | ||||
\(403\) | −14.8142 | + | 10.3730i | −0.737946 | + | 0.516715i | ||||
\(404\) | −0.714456 | + | 0.125978i | −0.0355455 | + | 0.00626763i | ||||
\(405\) | 1.79726 | − | 1.33036i | 0.0893064 | − | 0.0661063i | ||||
\(406\) | 1.03713 | − | 1.79636i | 0.0514718 | − | 0.0891518i | ||||
\(407\) | 3.99161 | − | 14.8969i | 0.197857 | − | 0.738412i | ||||
\(408\) | 0.118246 | + | 1.35156i | 0.00585406 | + | 0.0669122i | ||||
\(409\) | −16.8871 | − | 14.1700i | −0.835015 | − | 0.700660i | 0.121422 | − | 0.992601i | \(-0.461255\pi\) |
−0.956436 | + | 0.291941i | \(0.905699\pi\) | |||||||
\(410\) | 26.1733 | − | 0.689728i | 1.29261 | − | 0.0340632i | ||||
\(411\) | 3.58793 | + | 2.07149i | 0.176980 | + | 0.102179i | ||||
\(412\) | 3.07280 | + | 1.43287i | 0.151386 | + | 0.0705924i | ||||
\(413\) | −9.23211 | − | 6.46439i | −0.454282 | − | 0.318092i | ||||
\(414\) | −0.314236 | + | 1.78212i | −0.0154438 | + | 0.0875863i | ||||
\(415\) | −20.2314 | − | 22.8598i | −0.993120 | − | 1.12214i | ||||
\(416\) | 1.76257 | − | 1.47897i | 0.0864173 | − | 0.0725127i | ||||
\(417\) | 5.62627 | + | 5.62627i | 0.275520 | + | 0.275520i | ||||
\(418\) | 6.54620 | − | 9.30224i | 0.320185 | − | 0.454987i | ||||
\(419\) | − | 15.0522i | − | 0.735348i | −0.929955 | − | 0.367674i | \(-0.880154\pi\) | ||
0.929955 | − | 0.367674i | \(-0.119846\pi\) | |||||||
\(420\) | −1.87897 | + | 2.83984i | −0.0916843 | + | 0.138570i | ||||
\(421\) | −0.916308 | + | 2.51754i | −0.0446581 | + | 0.122697i | −0.960017 | − | 0.279942i | \(-0.909685\pi\) |
0.915359 | + | 0.402639i | \(0.131907\pi\) | |||||||
\(422\) | −10.8220 | − | 15.4555i | −0.526808 | − | 0.752360i | ||||
\(423\) | −1.35618 | + | 1.93683i | −0.0659397 | + | 0.0941717i | ||||
\(424\) | −3.73903 | − | 10.2729i | −0.181583 | − | 0.498896i | ||||
\(425\) | −5.04271 | − | 4.53744i | −0.244608 | − | 0.220098i | ||||
\(426\) | −4.22085 | + | 2.43691i | −0.204501 | + | 0.118069i | ||||
\(427\) | −15.5905 | + | 1.36399i | −0.754476 | + | 0.0660081i | ||||
\(428\) | −0.252192 | + | 0.0220640i | −0.0121902 | + | 0.00106650i | ||||
\(429\) | −5.19982 | + | 3.00212i | −0.251050 | + | 0.144944i | ||||
\(430\) | 17.0180 | + | 4.08266i | 0.820679 | + | 0.196883i | ||||
\(431\) | 10.9992 | + | 30.2201i | 0.529813 | + | 1.45565i | 0.859291 | + | 0.511487i | \(0.170905\pi\) |
−0.329478 | + | 0.944163i | \(0.606873\pi\) | |||||||
\(432\) | 0.573576 | − | 0.819152i | 0.0275962 | − | 0.0394115i | ||||
\(433\) | 9.13877 | + | 13.0515i | 0.439181 | + | 0.627216i | 0.976334 | − | 0.216269i | \(-0.0693889\pi\) |
−0.537152 | + | 0.843485i | \(0.680500\pi\) | |||||||
\(434\) | 4.09379 | − | 11.2476i | 0.196508 | − | 0.539902i | ||||
\(435\) | −0.607719 | − | 2.98450i | −0.0291379 | − | 0.143096i | ||||
\(436\) | − | 1.32178i | − | 0.0633016i | ||||||
\(437\) | −7.14100 | − | 3.35040i | −0.341601 | − | 0.160271i | ||||
\(438\) | −3.11204 | − | 3.11204i | −0.148699 | − | 0.148699i | ||||
\(439\) | 7.67379 | − | 6.43908i | 0.366250 | − | 0.307320i | −0.441026 | − | 0.897494i | \(-0.645385\pi\) |
0.807276 | + | 0.590174i | \(0.200941\pi\) | |||||||
\(440\) | 4.36960 | − | 3.86719i | 0.208312 | − | 0.184361i | ||||
\(441\) | 0.812840 | − | 4.60984i | 0.0387066 | − | 0.219516i | ||||
\(442\) | 2.55711 | + | 1.79050i | 0.121629 | + | 0.0851656i | ||||
\(443\) | 16.0034 | + | 7.46250i | 0.760344 | + | 0.354554i | 0.763811 | − | 0.645440i | \(-0.223326\pi\) |
−0.00346713 | + | 0.999994i | \(0.501104\pi\) | |||||||
\(444\) | 5.11822 | + | 2.95500i | 0.242900 | + | 0.140238i | ||||
\(445\) | −13.3898 | − | 12.7022i | −0.634738 | − | 0.602144i | ||||
\(446\) | 5.00774 | + | 4.20199i | 0.237123 | + | 0.198970i | ||||
\(447\) | 0.539582 | + | 6.16745i | 0.0255214 | + | 0.291710i | ||||
\(448\) | −0.394140 | + | 1.47095i | −0.0186214 | + | 0.0694959i | ||||
\(449\) | −8.90508 | + | 15.4241i | −0.420257 | + | 0.727906i | −0.995964 | − | 0.0897494i | \(-0.971393\pi\) |
0.575707 | + | 0.817656i | \(0.304727\pi\) | |||||||
\(450\) | 0.697512 | + | 4.95111i | 0.0328810 | + | 0.233398i | ||||
\(451\) | −30.0913 | + | 5.30590i | −1.41694 | + | 0.249845i | ||||
\(452\) | −4.90591 | + | 3.43516i | −0.230755 | + | 0.161576i | ||||
\(453\) | 4.31698 | + | 9.25780i | 0.202830 | + | 0.434969i | ||||
\(454\) | 6.11668 | + | 7.28957i | 0.287070 | + | 0.342116i | ||||
\(455\) | 2.22648 | + | 7.51187i | 0.104379 | + | 0.352162i | ||||
\(456\) | 2.79397 | + | 3.34570i | 0.130840 | + | 0.156677i | ||||
\(457\) | −13.3190 | + | 13.3190i | −0.623035 | + | 0.623035i | −0.946306 | − | 0.323271i | \(-0.895217\pi\) |
0.323271 | + | 0.946306i | \(0.395217\pi\) | |||||||
\(458\) | −1.21647 | + | 13.9043i | −0.0568419 | + | 0.649705i | ||||
\(459\) | 1.27490 | + | 0.464026i | 0.0595073 | + | 0.0216589i | ||||
\(460\) | −3.16717 | − | 2.51842i | −0.147670 | − | 0.117422i | ||||
\(461\) | 1.68855 | + | 9.57623i | 0.0786435 | + | 0.446010i | 0.998548 | + | 0.0538673i | \(0.0171548\pi\) |
−0.919905 | + | 0.392142i | \(0.871734\pi\) | |||||||
\(462\) | 1.67945 | − | 3.60159i | 0.0781350 | − | 0.167561i | ||||
\(463\) | 24.7372 | − | 6.62832i | 1.14964 | − | 0.308044i | 0.366817 | − | 0.930293i | \(-0.380447\pi\) |
0.782820 | + | 0.622249i | \(0.213781\pi\) | |||||||
\(464\) | −0.681049 | − | 1.17961i | −0.0316169 | − | 0.0547620i | ||||
\(465\) | −6.44411 | − | 16.3514i | −0.298838 | − | 0.758276i | ||||
\(466\) | −10.8221 | + | 12.8973i | −0.501326 | + | 0.597457i | ||||
\(467\) | −21.3062 | − | 5.70897i | −0.985932 | − | 0.264180i | −0.270391 | − | 0.962751i | \(-0.587153\pi\) |
−0.715541 | + | 0.698571i | \(0.753820\pi\) | |||||||
\(468\) | −0.595511 | − | 2.22248i | −0.0275275 | − | 0.102734i | ||||
\(469\) | 9.23229 | − | 3.36028i | 0.426307 | − | 0.155163i | ||||
\(470\) | −2.35984 | − | 4.73114i | −0.108851 | − | 0.218231i | ||||
\(471\) | 17.2999 | + | 3.05044i | 0.797138 | + | 0.140557i | ||||
\(472\) | −6.70745 | + | 3.12774i | −0.308736 | + | 0.143966i | ||||
\(473\) | −20.3461 | − | 1.78006i | −0.935516 | − | 0.0818471i | ||||
\(474\) | −7.66486 | −0.352059 | ||||||||
\(475\) | −21.6266 | − | 2.69982i | −0.992298 | − | 0.123876i | ||||
\(476\) | −2.06607 | −0.0946982 | ||||||||
\(477\) | −10.8906 | − | 0.952803i | −0.498646 | − | 0.0436259i | ||||
\(478\) | −22.9042 | + | 10.6804i | −1.04761 | + | 0.488510i | ||||
\(479\) | 15.6282 | + | 2.75567i | 0.714070 | + | 0.125910i | 0.518869 | − | 0.854854i | \(-0.326353\pi\) |
0.195200 | + | 0.980763i | \(0.437464\pi\) | |||||||
\(480\) | 0.998061 | + | 2.00097i | 0.0455551 | + | 0.0913313i | ||||
\(481\) | 12.7781 | − | 4.65086i | 0.582632 | − | 0.212061i | ||||
\(482\) | 5.92268 | + | 22.1037i | 0.269771 | + | 1.00680i | ||||
\(483\) | −2.66185 | − | 0.713240i | −0.121118 | − | 0.0324535i | ||||
\(484\) | 2.69347 | − | 3.20995i | 0.122430 | − | 0.145907i | ||||
\(485\) | 10.1736 | + | 25.8146i | 0.461959 | + | 1.17218i | ||||
\(486\) | −0.500000 | − | 0.866025i | −0.0226805 | − | 0.0392837i | ||||
\(487\) | −16.6831 | + | 4.47023i | −0.755985 | + | 0.202565i | −0.616171 | − | 0.787612i | \(-0.711317\pi\) |
−0.139814 | + | 0.990178i | \(0.544650\pi\) | |||||||
\(488\) | −4.34319 | + | 9.31401i | −0.196607 | + | 0.421625i | ||||
\(489\) | −3.59960 | − | 20.4144i | −0.162780 | − | 0.923169i | ||||
\(490\) | 8.19259 | + | 6.51446i | 0.370104 | + | 0.294293i | ||||
\(491\) | −32.0550 | − | 11.6671i | −1.44662 | − | 0.526527i | −0.504975 | − | 0.863134i | \(-0.668498\pi\) |
−0.941645 | + | 0.336607i | \(0.890720\pi\) | |||||||
\(492\) | 1.02052 | − | 11.6646i | 0.0460085 | − | 0.525880i | ||||
\(493\) | 1.30672 | − | 1.30672i | 0.0588519 | − | 0.0588519i | ||||
\(494\) | 10.0293 | + | 0.0236186i | 0.451238 | + | 0.00106265i | ||||
\(495\) | −1.65819 | − | 5.59454i | −0.0745302 | − | 0.251456i | ||||
\(496\) | −5.05227 | − | 6.02106i | −0.226854 | − | 0.270354i | ||||
\(497\) | −3.13669 | − | 6.72666i | −0.140700 | − | 0.301732i | ||||
\(498\) | −11.1830 | + | 7.83043i | −0.501123 | + | 0.350890i | ||||
\(499\) | 2.15866 | − | 0.380630i | 0.0966350 | − | 0.0170394i | −0.125122 | − | 0.992141i | \(-0.539932\pi\) |
0.221757 | + | 0.975102i | \(0.428821\pi\) | |||||||
\(500\) | −10.4743 | − | 3.91021i | −0.468423 | − | 0.174870i | ||||
\(501\) | 10.5721 | − | 18.3114i | 0.472327 | − | 0.818095i | ||||
\(502\) | 3.21706 | − | 12.0062i | 0.143584 | − | 0.535864i | ||||
\(503\) | 2.64269 | + | 30.2060i | 0.117832 | + | 1.34682i | 0.793029 | + | 0.609184i | \(0.208503\pi\) |
−0.675198 | + | 0.737637i | \(0.735942\pi\) | |||||||
\(504\) | 1.16656 | + | 0.978863i | 0.0519629 | + | 0.0436020i | ||||
\(505\) | −1.17690 | − | 1.11647i | −0.0523714 | − | 0.0496820i | ||||
\(506\) | 4.08959 | + | 2.36113i | 0.181805 | + | 0.104965i | ||||
\(507\) | 6.98398 | + | 3.25668i | 0.310169 | + | 0.144634i | ||||
\(508\) | 2.43901 | + | 1.70781i | 0.108214 | + | 0.0757720i | ||||
\(509\) | 3.90440 | − | 22.1430i | 0.173060 | − | 0.981470i | −0.767300 | − | 0.641288i | \(-0.778400\pi\) |
0.940360 | − | 0.340182i | \(-0.110489\pi\) | |||||||
\(510\) | −2.27179 | + | 2.01058i | −0.100597 | + | 0.0890301i | ||||
\(511\) | 5.13416 | − | 4.30807i | 0.227122 | − | 0.190578i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 4.21302 | − | 1.11825i | 0.186009 | − | 0.0493718i | ||||
\(514\) | − | 2.26075i | − | 0.0997173i | ||||||
\(515\) | 1.51270 | + | 7.42885i | 0.0666576 | + | 0.327354i | ||||
\(516\) | 2.67686 | − | 7.35461i | 0.117842 | − | 0.323768i | ||||
\(517\) | 3.53901 | + | 5.05423i | 0.155645 | + | 0.222285i | ||||
\(518\) | −5.16219 | + | 7.37237i | −0.226813 | + | 0.323923i | ||||
\(519\) | −1.54034 | − | 4.23204i | −0.0676133 | − | 0.185766i | ||||
\(520\) | 5.00296 | + | 1.20022i | 0.219394 | + | 0.0526333i | ||||
\(521\) | 29.2828 | − | 16.9064i | 1.28290 | − | 0.740683i | 0.305523 | − | 0.952185i | \(-0.401169\pi\) |
0.977378 | + | 0.211502i | \(0.0678354\pi\) | |||||||
\(522\) | −1.35691 | + | 0.118715i | −0.0593905 | + | 0.00519600i | ||||
\(523\) | −31.7555 | + | 2.77824i | −1.38857 | + | 0.121484i | −0.756787 | − | 0.653661i | \(-0.773232\pi\) |
−0.631783 | + | 0.775145i | \(0.717677\pi\) | |||||||
\(524\) | −3.31530 | + | 1.91409i | −0.144829 | + | 0.0836173i | ||||
\(525\) | −7.60363 | + | 0.401025i | −0.331850 | + | 0.0175022i | ||||
\(526\) | −0.979670 | − | 2.69162i | −0.0427156 | − | 0.117360i | ||||
\(527\) | 6.11648 | − | 8.73524i | 0.266438 | − | 0.380513i | ||||
\(528\) | −1.49677 | − | 2.13761i | −0.0651386 | − | 0.0930276i | ||||
\(529\) | −6.74645 | + | 18.5357i | −0.293324 | + | 0.805901i | ||||
\(530\) | 13.4888 | − | 20.3867i | 0.585915 | − | 0.885541i | ||||
\(531\) | 7.40086i | 0.321170i | ||||||||
\(532\) | −5.44641 | + | 3.79453i | −0.236132 | + | 0.164514i | ||||
\(533\) | −19.0504 | − | 19.0504i | −0.825163 | − | 0.825163i | ||||
\(534\) | −6.32285 | + | 5.30550i | −0.273616 | + | 0.229592i | ||||
\(535\) | −0.375162 | − | 0.423902i | −0.0162197 | − | 0.0183269i | ||||
\(536\) | 1.12031 | − | 6.35361i | 0.0483901 | − | 0.274434i | ||||
\(537\) | −8.00579 | − | 5.60572i | −0.345476 | − | 0.241905i | ||||
\(538\) | 17.6440 | + | 8.22752i | 0.760685 | + | 0.354713i | ||||
\(539\) | −10.5786 | − | 6.10757i | −0.455654 | − | 0.263072i | ||||
\(540\) | 2.23529 | − | 0.0589051i | 0.0961917 | − | 0.00253487i | ||||
\(541\) | −13.3462 | − | 11.1988i | −0.573800 | − | 0.481475i | 0.309105 | − | 0.951028i | \(-0.399971\pi\) |
−0.882904 | + | 0.469553i | \(0.844415\pi\) | |||||||
\(542\) | −0.0774449 | − | 0.885199i | −0.00332654 | − | 0.0380225i | ||||
\(543\) | −1.92291 | + | 7.17640i | −0.0825200 | + | 0.307969i | ||||
\(544\) | −0.678361 | + | 1.17496i | −0.0290845 | + | 0.0503758i | ||||
\(545\) | 2.37557 | − | 1.75844i | 0.101758 | − | 0.0753234i | ||||
\(546\) | 3.45064 | − | 0.608440i | 0.147674 | − | 0.0260388i | ||||
\(547\) | −15.6040 | + | 10.9261i | −0.667180 | + | 0.467164i | −0.857450 | − | 0.514567i | \(-0.827953\pi\) |
0.190270 | + | 0.981732i | \(0.439064\pi\) | |||||||
\(548\) | 1.75090 | + | 3.75482i | 0.0747948 | + | 0.160398i | ||||
\(549\) | 6.60584 | + | 7.87254i | 0.281931 | + | 0.335992i | ||||
\(550\) | 12.7635 | + | 2.70853i | 0.544237 | + | 0.115492i | ||||
\(551\) | 1.04476 | − | 5.84460i | 0.0445082 | − | 0.248988i | ||||
\(552\) | −1.27959 | + | 1.27959i | −0.0544629 | + | 0.0544629i | ||||
\(553\) | 1.01731 | − | 11.6279i | 0.0432606 | − | 0.494471i | ||||
\(554\) | −25.9318 | − | 9.43842i | −1.10174 | − | 0.401000i | ||||
\(555\) | 1.49818 | + | 13.1300i | 0.0635944 | + | 0.557337i | ||||
\(556\) | 1.38167 | + | 7.83587i | 0.0585961 | + | 0.332315i | ||||
\(557\) | 9.25371 | − | 19.8447i | 0.392092 | − | 0.840845i | −0.606848 | − | 0.794818i | \(-0.707566\pi\) |
0.998940 | − | 0.0460268i | \(-0.0146560\pi\) | |||||||
\(558\) | −7.59212 | + | 2.03430i | −0.321400 | + | 0.0861189i | ||||
\(559\) | −9.00403 | − | 15.5954i | −0.380830 | − | 0.659617i | ||||
\(560\) | −3.16803 | + | 1.24853i | −0.133874 | + | 0.0527599i | ||||
\(561\) | 2.27574 | − | 2.71212i | 0.0960818 | − | 0.114506i | ||||
\(562\) | −3.29489 | − | 0.882862i | −0.138986 | − | 0.0372413i | ||||
\(563\) | −7.02983 | − | 26.2357i | −0.296272 | − | 1.10570i | −0.940202 | − | 0.340617i | \(-0.889364\pi\) |
0.643930 | − | 0.765084i | \(-0.277303\pi\) | |||||||
\(564\) | −2.22183 | + | 0.808682i | −0.0935561 | + | 0.0340516i | ||||
\(565\) | −12.7005 | − | 4.24718i | −0.534314 | − | 0.178680i | ||||
\(566\) | 26.7990 | + | 4.72538i | 1.12645 | + | 0.198623i | ||||
\(567\) | 1.38016 | − | 0.643580i | 0.0579614 | − | 0.0270278i | ||||
\(568\) | −4.85527 | − | 0.424781i | −0.203723 | − | 0.0178234i | ||||
\(569\) | −25.7340 | −1.07883 | −0.539413 | − | 0.842041i | \(-0.681354\pi\) | ||||
−0.539413 | + | 0.842041i | \(0.681354\pi\) | |||||||
\(570\) | −2.29608 | + | 9.47249i | −0.0961723 | + | 0.396759i | ||||
\(571\) | −46.0053 | −1.92526 | −0.962630 | − | 0.270819i | \(-0.912705\pi\) | ||||
−0.962630 | + | 0.270819i | \(0.912705\pi\) | |||||||
\(572\) | −5.98138 | − | 0.523303i | −0.250094 | − | 0.0218804i | ||||
\(573\) | −12.5308 | + | 5.84321i | −0.523482 | + | 0.244104i | ||||
\(574\) | 17.5602 | + | 3.09635i | 0.732951 | + | 0.129239i | ||||
\(575\) | 0.312765 | − | 9.04264i | 0.0130432 | − | 0.377104i | ||||
\(576\) | 0.939693 | − | 0.342020i | 0.0391539 | − | 0.0142508i | ||||
\(577\) | −6.60077 | − | 24.6344i | −0.274794 | − | 1.02554i | −0.955979 | − | 0.293434i | \(-0.905202\pi\) |
0.681186 | − | 0.732111i | \(-0.261465\pi\) | |||||||
\(578\) | 14.6428 | + | 3.92352i | 0.609059 | + | 0.163197i | ||||
\(579\) | 16.9357 | − | 20.1832i | 0.703823 | − | 0.838784i | ||||
\(580\) | 1.21402 | − | 2.79333i | 0.0504095 | − | 0.115987i | ||||
\(581\) | −10.3949 | − | 18.0044i | −0.431252 | − | 0.746950i | ||||
\(582\) | 11.9860 | − | 3.21164i | 0.496836 | − | 0.133127i | ||||
\(583\) | −12.0565 | + | 25.8552i | −0.499328 | + | 1.07081i | ||||
\(584\) | −0.764242 | − | 4.33423i | −0.0316246 | − | 0.179352i | ||||
\(585\) | 3.20212 | − | 4.02699i | 0.132391 | − | 0.166495i | ||||
\(586\) | 22.4680 | + | 8.17769i | 0.928145 | + | 0.337817i | ||||
\(587\) | −0.128520 | + | 1.46899i | −0.00530460 | + | 0.0606319i | −0.998386 | − | 0.0567994i | \(-0.981910\pi\) |
0.993081 | + | 0.117431i | \(0.0374660\pi\) | |||||||
\(588\) | 3.30994 | − | 3.30994i | 0.136499 | − | 0.136499i | ||||
\(589\) | 0.0806826 | − | 34.2606i | 0.00332447 | − | 1.41168i | ||||
\(590\) | −14.5447 | − | 7.89400i | −0.598796 | − | 0.324991i | ||||
\(591\) | 5.33538 | + | 6.35846i | 0.219468 | + | 0.261552i | ||||
\(592\) | 2.49768 | + | 5.35629i | 0.102654 | + | 0.220142i | ||||
\(593\) | −12.0542 | + | 8.44043i | −0.495006 | + | 0.346607i | −0.794272 | − | 0.607563i | \(-0.792147\pi\) |
0.299265 | + | 0.954170i | \(0.403258\pi\) | |||||||
\(594\) | −2.56990 | + | 0.453142i | −0.105444 | + | 0.0185926i | ||||
\(595\) | −2.74863 | − | 3.71326i | −0.112683 | − | 0.152229i | ||||
\(596\) | −3.09551 | + | 5.36157i | −0.126797 | + | 0.219619i | ||||
\(597\) | −4.52738 | + | 16.8964i | −0.185293 | + | 0.691524i | ||||
\(598\) | 0.362889 | + | 4.14785i | 0.0148397 | + | 0.169618i | ||||
\(599\) | −0.558874 | − | 0.468951i | −0.0228350 | − | 0.0191608i | 0.631299 | − | 0.775540i | \(-0.282522\pi\) |
−0.654134 | + | 0.756379i | \(0.726967\pi\) | |||||||
\(600\) | −2.26847 | + | 4.45579i | −0.0926099 | + | 0.181907i | ||||
\(601\) | 32.1918 | + | 18.5860i | 1.31313 | + | 0.758137i | 0.982614 | − | 0.185663i | \(-0.0594432\pi\) |
0.330518 | + | 0.943800i | \(0.392776\pi\) | |||||||
\(602\) | 10.8020 | + | 5.03705i | 0.440256 | + | 0.205295i | ||||
\(603\) | −5.28486 | − | 3.70050i | −0.215216 | − | 0.150696i | ||||
\(604\) | −1.77379 | + | 10.0597i | −0.0721745 | + | 0.409322i | ||||
\(605\) | 9.35240 | + | 0.570456i | 0.380229 | + | 0.0231924i | ||||
\(606\) | −0.555748 | + | 0.466328i | −0.0225757 | + | 0.0189433i | ||||
\(607\) | −11.6551 | − | 11.6551i | −0.473067 | − | 0.473067i | 0.429839 | − | 0.902906i | \(-0.358570\pi\) |
−0.902906 | + | 0.429839i | \(0.858570\pi\) | |||||||
\(608\) | 0.369676 | + | 4.34319i | 0.0149923 | + | 0.176140i | ||||
\(609\) | − | 2.07426i | − | 0.0840531i | ||||||
\(610\) | −22.5177 | + | 4.58518i | −0.911715 | + | 0.185648i | ||||
\(611\) | −1.86068 | + | 5.11217i | −0.0752749 | + | 0.206816i | ||||
\(612\) | 0.778184 | + | 1.11136i | 0.0314562 | + | 0.0449241i | ||||
\(613\) | −12.6904 | + | 18.1238i | −0.512562 | + | 0.732014i | −0.989117 | − | 0.147131i | \(-0.952996\pi\) |
0.476555 | + | 0.879144i | \(0.341885\pi\) | |||||||
\(614\) | −8.64161 | − | 23.7426i | −0.348747 | − | 0.958175i | ||||
\(615\) | 22.3219 | − | 13.6840i | 0.900106 | − | 0.551792i | ||||
\(616\) | 3.44151 | − | 1.98696i | 0.138662 | − | 0.0800568i | ||||
\(617\) | −19.1365 | + | 1.67423i | −0.770407 | + | 0.0674019i | −0.465580 | − | 0.885006i | \(-0.654154\pi\) |
−0.304827 | + | 0.952408i | \(0.598599\pi\) | |||||||
\(618\) | 3.37756 | − | 0.295498i | 0.135865 | − | 0.0118867i | ||||
\(619\) | −7.69314 | + | 4.44164i | −0.309213 | + | 0.178524i | −0.646574 | − | 0.762851i | \(-0.723799\pi\) |
0.337361 | + | 0.941375i | \(0.390466\pi\) | |||||||
\(620\) | 4.10004 | − | 17.0904i | 0.164662 | − | 0.686368i | ||||
\(621\) | 0.618923 | + | 1.70048i | 0.0248365 | + | 0.0682378i | ||||
\(622\) | 6.87322 | − | 9.81597i | 0.275591 | − | 0.393585i | ||||
\(623\) | −7.20949 | − | 10.2962i | −0.288842 | − | 0.412509i | ||||
\(624\) | 0.786946 | − | 2.16212i | 0.0315031 | − | 0.0865539i | ||||
\(625\) | −6.90692 | − | 24.0270i | −0.276277 | − | 0.961078i | ||||
\(626\) | 7.33233i | 0.293059i | ||||||||
\(627\) | 1.01806 | − | 11.3291i | 0.0406572 | − | 0.452440i | ||||
\(628\) | 12.4216 | + | 12.4216i | 0.495676 | + | 0.495676i | ||||
\(629\) | −6.14233 | + | 5.15402i | −0.244911 | + | 0.205504i | ||||
\(630\) | −0.207316 | + | 3.39886i | −0.00825966 | + | 0.135414i | ||||
\(631\) | −1.35263 | + | 7.67114i | −0.0538473 | + | 0.305383i | −0.999822 | − | 0.0188567i | \(-0.993997\pi\) |
0.945975 | + | 0.324240i | \(0.105108\pi\) | |||||||
\(632\) | −6.27869 | − | 4.39638i | −0.249753 | − | 0.174879i | ||||
\(633\) | −17.0999 | − | 7.97380i | −0.679659 | − | 0.316930i | ||||
\(634\) | 25.2762 | + | 14.5932i | 1.00385 | + | 0.579571i | ||||
\(635\) | 0.175389 | + | 6.65554i | 0.00696010 | + | 0.264117i | ||||
\(636\) | −8.37455 | − | 7.02708i | −0.332072 | − | 0.278642i | ||||
\(637\) | −0.938694 | − | 10.7293i | −0.0371924 | − | 0.425111i | ||||
\(638\) | −0.919959 | + | 3.43333i | −0.0364215 | + | 0.135927i | ||||
\(639\) | −2.43691 | + | 4.22085i | −0.0964026 | + | 0.166974i | ||||
\(640\) | −0.330144 | + | 2.21156i | −0.0130501 | + | 0.0874196i | ||||
\(641\) | −3.25927 | + | 0.574697i | −0.128733 | + | 0.0226992i | −0.237644 | − | 0.971352i | \(-0.576375\pi\) |
0.108910 | + | 0.994052i | \(0.465264\pi\) | |||||||
\(642\) | −0.207373 | + | 0.145204i | −0.00818436 | + | 0.00573075i | ||||
\(643\) | −6.76147 | − | 14.5000i | −0.266647 | − | 0.571825i | 0.726705 | − | 0.686950i | \(-0.241051\pi\) |
−0.993351 | + | 0.115125i | \(0.963273\pi\) | |||||||
\(644\) | −1.77136 | − | 2.11103i | −0.0698014 | − | 0.0831861i | ||||
\(645\) | 16.7793 | − | 4.97329i | 0.660685 | − | 0.195823i | ||||
\(646\) | −5.56192 | + | 2.00955i | −0.218831 | + | 0.0790647i | ||||
\(647\) | −27.6979 | + | 27.6979i | −1.08891 | + | 1.08891i | −0.0932744 | + | 0.995640i | \(0.529733\pi\) |
−0.995640 | + | 0.0932744i | \(0.970267\pi\) | |||||||
\(648\) | 0.0871557 | − | 0.996195i | 0.00342380 | − | 0.0391342i | ||||
\(649\) | 18.1481 | + | 6.60538i | 0.712377 | + | 0.259284i | ||||
\(650\) | 4.49864 | + | 10.5883i | 0.176451 | + | 0.415309i | ||||
\(651\) | −2.07847 | − | 11.7876i | −0.0814617 | − | 0.461992i | ||||
\(652\) | 8.76057 | − | 18.7871i | 0.343090 | − | 0.735760i | ||||
\(653\) | −23.7637 | + | 6.36746i | −0.929944 | + | 0.249178i | −0.691831 | − | 0.722060i | \(-0.743196\pi\) |
−0.238113 | + | 0.971237i | \(0.576529\pi\) | |||||||
\(654\) | −0.660889 | − | 1.14469i | −0.0258428 | − | 0.0447610i | ||||
\(655\) | −7.85066 | − | 3.41201i | −0.306751 | − | 0.133318i | ||||
\(656\) | 7.52649 | − | 8.96972i | 0.293860 | − | 0.350209i | ||||
\(657\) | −4.25113 | − | 1.13909i | −0.165852 | − | 0.0444400i | ||||
\(658\) | −0.931916 | − | 3.47796i | −0.0363299 | − | 0.135585i | ||||
\(659\) | 25.1578 | − | 9.15669i | 0.980009 | − | 0.356694i | 0.198165 | − | 0.980169i | \(-0.436502\pi\) |
0.781844 | + | 0.623475i | \(0.214280\pi\) | |||||||
\(660\) | 1.85059 | − | 5.53388i | 0.0720340 | − | 0.215406i | ||||
\(661\) | 33.1090 | + | 5.83801i | 1.28779 | + | 0.227072i | 0.775285 | − | 0.631611i | \(-0.217606\pi\) |
0.512506 | + | 0.858684i | \(0.328717\pi\) | |||||||
\(662\) | −30.4708 | + | 14.2087i | −1.18428 | + | 0.552239i | ||||
\(663\) | 3.10977 | + | 0.272070i | 0.120774 | + | 0.0105663i | ||||
\(664\) | −13.6519 | −0.529798 | ||||||||
\(665\) | −14.0654 | − | 4.74049i | −0.545435 | − | 0.183828i | ||||
\(666\) | 5.91001 | 0.229008 | ||||||||
\(667\) | 2.45549 | + | 0.214827i | 0.0950768 | + | 0.00831814i | ||||
\(668\) | 19.1632 | − | 8.93594i | 0.741446 | − | 0.345742i | ||||
\(669\) | 6.43782 | + | 1.13516i | 0.248901 | + | 0.0438879i | ||||
\(670\) | 12.9095 | − | 6.43912i | 0.498737 | − | 0.248765i | ||||
\(671\) | 25.2006 | − | 9.17227i | 0.972858 | − | 0.354091i | ||||
\(672\) | 0.394140 | + | 1.47095i | 0.0152043 | + | 0.0567432i | ||||
\(673\) | −11.1781 | − | 2.99517i | −0.430885 | − | 0.115455i | 0.0368564 | − | 0.999321i | \(-0.488266\pi\) |
−0.467742 | + | 0.883865i | \(0.654932\pi\) | |||||||
\(674\) | −9.71769 | + | 11.5811i | −0.374312 | + | 0.446087i | ||||
\(675\) | 3.07962 | + | 3.93903i | 0.118535 | + | 0.151613i | ||||
\(676\) | 3.85298 | + | 6.67356i | 0.148192 | + | 0.256676i | ||||
\(677\) | −30.2549 | + | 8.10679i | −1.16279 | + | 0.311569i | −0.788080 | − | 0.615572i | \(-0.788925\pi\) |
−0.374711 | + | 0.927141i | \(0.622258\pi\) | |||||||
\(678\) | −2.53107 | + | 5.42789i | −0.0972050 | + | 0.208457i | ||||
\(679\) | 3.28137 | + | 18.6096i | 0.125927 | + | 0.714170i | ||||
\(680\) | −3.01416 | + | 0.343928i | −0.115588 | + | 0.0131891i | ||||
\(681\) | 8.94198 | + | 3.25462i | 0.342657 | + | 0.124717i | ||||
\(682\) | −1.78764 | + | 20.4328i | −0.0684522 | + | 0.782412i | ||||
\(683\) | −7.56608 | + | 7.56608i | −0.289508 | + | 0.289508i | −0.836886 | − | 0.547378i | \(-0.815626\pi\) |
0.547378 | + | 0.836886i | \(0.315626\pi\) | |||||||
\(684\) | 4.09250 | + | 1.50047i | 0.156481 | + | 0.0573720i | ||||
\(685\) | −4.41904 | + | 8.14210i | −0.168843 | + | 0.311093i | ||||
\(686\) | 11.4341 | + | 13.6266i | 0.436554 | + | 0.520265i | ||||
\(687\) | 5.89866 | + | 12.6497i | 0.225048 | + | 0.482617i | ||||
\(688\) | 6.41118 | − | 4.48916i | 0.244424 | − | 0.171148i | ||||
\(689\) | −24.7715 | + | 4.36788i | −0.943719 | + | 0.166403i | ||||
\(690\) | −4.00207 | − | 0.597432i | −0.152356 | − | 0.0227439i | ||||
\(691\) | 13.5726 | − | 23.5084i | 0.516326 | − | 0.894304i | −0.483494 | − | 0.875348i | \(-0.660632\pi\) |
0.999820 | − | 0.0189559i | \(-0.00603420\pi\) | |||||||
\(692\) | 1.16563 | − | 4.35019i | 0.0443106 | − | 0.165369i | ||||
\(693\) | −0.346350 | − | 3.95879i | −0.0131567 | − | 0.150382i | ||||
\(694\) | 21.9295 | + | 18.4010i | 0.832431 | + | 0.698492i | ||||
\(695\) | −12.2449 | + | 12.9078i | −0.464477 | + | 0.489620i | ||||
\(696\) | −1.17961 | − | 0.681049i | −0.0447130 | − | 0.0258151i | ||||
\(697\) | 14.3976 | + | 6.71373i | 0.545350 | + | 0.254301i | ||||
\(698\) | −0.897795 | − | 0.628643i | −0.0339820 | − | 0.0237945i | ||||
\(699\) | −2.92359 | + | 16.5805i | −0.110580 | + | 0.627132i | ||||
\(700\) | −6.45855 | − | 4.03277i | −0.244110 | − | 0.152424i | ||||
\(701\) | −17.5107 | + | 14.6932i | −0.661369 | + | 0.554954i | −0.910497 | − | 0.413516i | \(-0.864300\pi\) |
0.249128 | + | 0.968471i | \(0.419856\pi\) | |||||||
\(702\) | −1.62697 | − | 1.62697i | −0.0614058 | − | 0.0614058i | ||||
\(703\) | −6.72605 | + | 24.8676i | −0.253678 | + | 0.937898i | ||||
\(704\) | − | 2.60954i | − | 0.0983508i | ||||||
\(705\) | −4.40926 | − | 2.91737i | −0.166062 | − | 0.109874i | ||||
\(706\) | 10.5457 | − | 28.9740i | 0.396892 | − | 1.09045i | ||||
\(707\) | −0.633680 | − | 0.904988i | −0.0238320 | − | 0.0340356i | ||||
\(708\) | −4.24496 | + | 6.06243i | −0.159535 | + | 0.227840i | ||||
\(709\) | −13.9788 | − | 38.4065i | −0.524985 | − | 1.44239i | −0.864907 | − | 0.501932i | \(-0.832623\pi\) |
0.339922 | − | 0.940454i | \(-0.389599\pi\) | |||||||
\(710\) | −5.69583 | − | 9.29128i | −0.213761 | − | 0.348696i | ||||
\(711\) | −6.63797 | + | 3.83243i | −0.248943 | + | 0.143727i | ||||
\(712\) | −8.22249 | + | 0.719374i | −0.308151 | + | 0.0269597i | ||||
\(713\) | 14.1693 | − | 1.23965i | 0.530645 | − | 0.0464254i | ||||
\(714\) | −1.78927 | + | 1.03304i | −0.0669618 | + | 0.0386604i | ||||
\(715\) | −7.01690 | − | 11.4463i | −0.262417 | − | 0.428066i | ||||
\(716\) | −3.34266 | − | 9.18387i | −0.124921 | − | 0.343217i | ||||
\(717\) | −14.4954 | + | 20.7016i | −0.541341 | + | 0.773116i | ||||
\(718\) | 1.79901 | + | 2.56926i | 0.0671386 | + | 0.0958838i | ||||
\(719\) | −11.3892 | + | 31.2916i | −0.424746 | + | 1.16698i | 0.524214 | + | 0.851586i | \(0.324359\pi\) |
−0.948961 | + | 0.315394i | \(0.897863\pi\) | |||||||
\(720\) | 1.86483 | + | 1.23386i | 0.0694981 | + | 0.0459832i | ||||
\(721\) | 5.16313i | 0.192285i | ||||||||
\(722\) | −10.9711 | + | 15.5124i | −0.408303 | + | 0.577311i | ||||
\(723\) | 16.1811 | + | 16.1811i | 0.601780 | + | 0.601780i | ||||
\(724\) | −5.69137 | + | 4.77563i | −0.211518 | + | 0.177485i | ||||
\(725\) | 6.63542 | − | 1.53423i | 0.246433 | − | 0.0569800i | ||||
\(726\) | 0.727637 | − | 4.12663i | 0.0270051 | − | 0.153154i | ||||
\(727\) | 18.7658 | + | 13.1400i | 0.695986 | + | 0.487335i | 0.867239 | − | 0.497892i | \(-0.165892\pi\) |
−0.171252 | + | 0.985227i | \(0.554781\pi\) | |||||||
\(728\) | 3.17558 | + | 1.48080i | 0.117695 | + | 0.0548820i | ||||
\(729\) | −0.866025 | − | 0.500000i | −0.0320750 | − | 0.0185185i | ||||
\(730\) | 6.77301 | − | 7.13964i | 0.250680 | − | 0.264250i | ||||
\(731\) | 8.13427 | + | 6.82546i | 0.300857 | + | 0.252449i | ||||
\(732\) | 0.895688 | + | 10.2378i | 0.0331056 | + | 0.378399i | ||||
\(733\) | 0.946470 | − | 3.53227i | 0.0349587 | − | 0.130467i | −0.946241 | − | 0.323462i | \(-0.895153\pi\) |
0.981200 | + | 0.192994i | \(0.0618199\pi\) | |||||||
\(734\) | −1.69124 | + | 2.92931i | −0.0624248 | + | 0.108123i | ||||
\(735\) | 10.3522 | + | 1.54539i | 0.381848 | + | 0.0570026i | ||||
\(736\) | −1.78212 | + | 0.314236i | −0.0656898 | + | 0.0115829i | ||||
\(737\) | −13.7911 | + | 9.65661i | −0.508000 | + | 0.355706i | ||||
\(738\) | −4.94849 | − | 10.6121i | −0.182157 | − | 0.390636i | ||||
\(739\) | −13.5906 | − | 16.1967i | −0.499939 | − | 0.595804i | 0.455777 | − | 0.890094i | \(-0.349361\pi\) |
−0.955716 | + | 0.294290i | \(0.904917\pi\) | |||||||
\(740\) | −6.30381 | + | 11.6148i | −0.231733 | + | 0.426968i | ||||
\(741\) | 8.69740 | − | 4.99418i | 0.319507 | − | 0.183466i | ||||
\(742\) | 11.7719 | − | 11.7719i | 0.432160 | − | 0.432160i | ||||
\(743\) | −0.0324582 | + | 0.370999i | −0.00119077 | + | 0.0136106i | −0.996767 | − | 0.0803484i | \(-0.974397\pi\) |
0.995576 | + | 0.0939590i | \(0.0299523\pi\) | |||||||
\(744\) | −7.38593 | − | 2.68826i | −0.270781 | − | 0.0985563i | ||||
\(745\) | −13.7543 | + | 1.56942i | −0.503918 | + | 0.0574990i | ||||
\(746\) | 0.546800 | + | 3.10106i | 0.0200198 | + | 0.113538i | ||||
\(747\) | −5.76956 | + | 12.3729i | −0.211097 | + | 0.452699i | ||||
\(748\) | 3.41979 | − | 0.916329i | 0.125040 | − | 0.0335043i | ||||
\(749\) | −0.192758 | − | 0.333867i | −0.00704322 | − | 0.0121992i | ||||
\(750\) | −11.0261 | + | 1.85079i | −0.402616 | + | 0.0675812i | ||||
\(751\) | 27.5664 | − | 32.8524i | 1.00591 | − | 1.19880i | 0.0259418 | − | 0.999663i | \(-0.491742\pi\) |
0.979972 | − | 0.199137i | \(-0.0638140\pi\) | |||||||
\(752\) | −2.28386 | − | 0.611959i | −0.0832839 | − | 0.0223158i | ||||
\(753\) | −3.21706 | − | 12.0062i | −0.117236 | − | 0.437531i | ||||
\(754\) | −2.94501 | + | 1.07190i | −0.107251 | + | 0.0390362i | ||||
\(755\) | −20.4396 | + | 10.1951i | −0.743873 | + | 0.371036i | ||||
\(756\) | 1.49971 | + | 0.264438i | 0.0545437 | + | 0.00961753i | ||||
\(757\) | −0.895830 | + | 0.417733i | −0.0325595 | + | 0.0151827i | −0.438830 | − | 0.898570i | \(-0.644607\pi\) |
0.406270 | + | 0.913753i | \(0.366829\pi\) | |||||||
\(758\) | 5.09259 | + | 0.445544i | 0.184971 | + | 0.0161829i | ||||
\(759\) | 4.72225 | 0.171407 | ||||||||
\(760\) | −7.31404 | + | 6.44243i | −0.265308 | + | 0.233691i | ||||
\(761\) | 5.06745 | 0.183695 | 0.0918475 | − | 0.995773i | \(-0.470723\pi\) | ||||
0.0918475 | + | 0.995773i | \(0.470723\pi\) | |||||||
\(762\) | 2.96615 | + | 0.259505i | 0.107452 | + | 0.00940086i | ||||
\(763\) | 1.82427 | − | 0.850670i | 0.0660429 | − | 0.0307963i | ||||
\(764\) | −13.6162 | − | 2.40090i | −0.492615 | − | 0.0868614i | ||||
\(765\) | −0.962136 | + | 2.87711i | −0.0347861 | + | 0.104022i | ||||
\(766\) | 14.0011 | − | 5.09597i | 0.505879 | − | 0.184125i | ||||
\(767\) | 4.40729 | + | 16.4482i | 0.159138 | + | 0.593911i | ||||
\(768\) | 0.965926 | + | 0.258819i | 0.0348548 | + | 0.00933933i | ||||
\(769\) | 31.4025 | − | 37.4240i | 1.13240 | − | 1.34954i | 0.203563 | − | 0.979062i | \(-0.434748\pi\) |
0.928839 | − | 0.370483i | \(-0.120808\pi\) | |||||||
\(770\) | 8.14953 | + | 3.54191i | 0.293689 | + | 0.127641i | ||||
\(771\) | −1.13037 | − | 1.95786i | −0.0407094 | − | 0.0705108i | ||||
\(772\) | 25.4495 | − | 6.81917i | 0.915947 | − | 0.245427i | ||||
\(773\) | 23.4769 | − | 50.3464i | 0.844405 | − | 1.81083i | 0.382020 | − | 0.924154i | \(-0.375229\pi\) |
0.462385 | − | 0.886679i | \(-0.346994\pi\) | |||||||
\(774\) | −1.35908 | − | 7.70770i | −0.0488510 | − | 0.277048i | ||||
\(775\) | 36.1705 | − | 15.3676i | 1.29928 | − | 0.552022i | ||||
\(776\) | 11.6605 | + | 4.24407i | 0.418587 | + | 0.152353i | ||||
\(777\) | −0.784402 | + | 8.96575i | −0.0281402 | + | 0.321645i | ||||
\(778\) | 17.0957 | − | 17.0957i | 0.612910 | − | 0.612910i | ||||
\(779\) | 50.2843 | − | 8.74442i | 1.80162 | − | 0.313302i | ||||
\(780\) | 4.93280 | − | 1.46206i | 0.176623 | − | 0.0523500i | ||||
\(781\) | 8.17525 | + | 9.74288i | 0.292533 | + | 0.348628i | ||||
\(782\) | −1.03759 | − | 2.22511i | −0.0371040 | − | 0.0795698i | ||||
\(783\) | −1.11576 | + | 0.781267i | −0.0398742 | + | 0.0279202i | ||||
\(784\) | 4.60984 | − | 0.812840i | 0.164637 | − | 0.0290300i | ||||
\(785\) | −5.79957 | + | 38.8500i | −0.206996 | + | 1.38662i | ||||
\(786\) | −1.91409 | + | 3.31530i | −0.0682733 | + | 0.118253i | ||||
\(787\) | −7.84380 | + | 29.2735i | −0.279601 | + | 1.04349i | 0.673093 | + | 0.739558i | \(0.264965\pi\) |
−0.952695 | + | 0.303929i | \(0.901701\pi\) | |||||||
\(788\) | 0.723426 | + | 8.26880i | 0.0257710 | + | 0.294564i | ||||
\(789\) | −2.19423 | − | 1.84118i | −0.0781166 | − | 0.0655476i | ||||
\(790\) | −0.451500 | − | 17.1332i | −0.0160636 | − | 0.609572i | ||||
\(791\) | −7.89842 | − | 4.56016i | −0.280836 | − | 0.162141i | ||||
\(792\) | −2.36505 | − | 1.10284i | −0.0840383 | − | 0.0391877i | ||||
\(793\) | 19.3695 | + | 13.5627i | 0.687832 | + | 0.481625i | ||||
\(794\) | 1.77936 | − | 10.0913i | 0.0631473 | − | 0.358126i | ||||
\(795\) | 1.48828 | − | 24.3998i | 0.0527839 | − | 0.865371i | ||||
\(796\) | −13.4000 | + | 11.2439i | −0.474950 | + | 0.398531i | ||||
\(797\) | −19.6393 | − | 19.6393i | −0.695658 | − | 0.695658i | 0.267813 | − | 0.963471i | \(-0.413699\pi\) |
−0.963471 | + | 0.267813i | \(0.913699\pi\) | |||||||
\(798\) | −2.81946 | + | 6.00936i | −0.0998078 | + | 0.212729i | ||||
\(799\) | − | 3.20787i | − | 0.113486i | ||||||
\(800\) | −4.41396 | + | 2.34883i | −0.156057 | + | 0.0830435i | ||||
\(801\) | −2.82300 | + | 7.75612i | −0.0997457 | + | 0.274049i | ||||
\(802\) | 15.2310 | + | 21.7521i | 0.537825 | + | 0.768093i | ||||
\(803\) | −6.58743 | + | 9.40783i | −0.232465 | + | 0.331995i | ||||
\(804\) | −2.20659 | − | 6.06254i | −0.0778203 | − | 0.213809i | ||||
\(805\) | 1.43750 | − | 5.99202i | 0.0506653 | − | 0.211191i | ||||
\(806\) | −15.6619 | + | 9.04237i | −0.551665 | + | 0.318504i | ||||
\(807\) | 19.3939 | − | 1.69674i | 0.682697 | − | 0.0597282i | ||||
\(808\) | −0.722717 | + | 0.0632295i | −0.0254251 | + | 0.00222441i | ||||
\(809\) | −7.80114 | + | 4.50399i | −0.274274 | + | 0.158352i | −0.630828 | − | 0.775923i | \(-0.717285\pi\) |
0.356555 | + | 0.934274i | \(0.383951\pi\) | |||||||
\(810\) | 1.90637 | − | 1.16866i | 0.0669829 | − | 0.0410625i | ||||
\(811\) | 15.3733 | + | 42.2378i | 0.539829 | + | 1.48317i | 0.847041 | + | 0.531527i | \(0.178382\pi\) |
−0.307212 | + | 0.951641i | \(0.599396\pi\) | |||||||
\(812\) | 1.18974 | − | 1.69913i | 0.0417519 | − | 0.0596278i | ||||
\(813\) | −0.509669 | − | 0.727882i | −0.0178749 | − | 0.0255279i | ||||
\(814\) | 5.27477 | − | 14.4923i | 0.184881 | − | 0.507956i | ||||
\(815\) | 45.4200 | − | 9.24867i | 1.59099 | − | 0.323967i | ||||
\(816\) | 1.35672i | 0.0474948i | ||||||||
\(817\) | 33.9785 | + | 3.05338i | 1.18876 | + | 0.106824i | ||||
\(818\) | −15.5879 | − | 15.5879i | −0.545017 | − | 0.545017i | ||||
\(819\) | 2.68412 | − | 2.25224i | 0.0937907 | − | 0.0786997i | ||||
\(820\) | 26.1339 | + | 1.59405i | 0.912634 | + | 0.0556668i | ||||
\(821\) | −0.666085 | + | 3.77755i | −0.0232465 | + | 0.131838i | −0.994222 | − | 0.107340i | \(-0.965767\pi\) |
0.970976 | + | 0.239178i | \(0.0768778\pi\) | |||||||
\(822\) | 3.39374 | + | 2.37632i | 0.118370 | + | 0.0828837i | ||||
\(823\) | 34.7747 | + | 16.2157i | 1.21217 | + | 0.565244i | 0.920299 | − | 0.391215i | \(-0.127945\pi\) |
0.291869 | + | 0.956458i | \(0.405723\pi\) | |||||||
\(824\) | 2.93622 | + | 1.69523i | 0.102288 | + | 0.0590561i | ||||
\(825\) | 12.4078 | − | 4.03609i | 0.431983 | − | 0.140519i | ||||
\(826\) | −8.63357 | − | 7.24442i | −0.300400 | − | 0.252066i | ||||
\(827\) | −0.849178 | − | 9.70614i | −0.0295288 | − | 0.337516i | −0.996561 | − | 0.0828618i | \(-0.973594\pi\) |
0.967032 | − | 0.254654i | \(-0.0819616\pi\) | |||||||
\(828\) | −0.468362 | + | 1.74795i | −0.0162767 | + | 0.0607454i | ||||
\(829\) | −12.6632 | + | 21.9333i | −0.439811 | + | 0.761775i | −0.997675 | − | 0.0681580i | \(-0.978288\pi\) |
0.557864 | + | 0.829933i | \(0.311621\pi\) | |||||||
\(830\) | −18.1620 | − | 24.5361i | −0.630414 | − | 0.851659i | ||||
\(831\) | −27.1768 | + | 4.79201i | −0.942754 | + | 0.166233i | ||||
\(832\) | 1.88477 | − | 1.31973i | 0.0653426 | − | 0.0457534i | ||||
\(833\) | 2.68395 | + | 5.75574i | 0.0929932 | + | 0.199425i | ||||
\(834\) | 5.11450 | + | 6.09522i | 0.177101 | + | 0.211060i | ||||
\(835\) | 41.5542 | + | 22.5531i | 1.43804 | + | 0.780483i | ||||
\(836\) | 7.33203 | − | 8.69630i | 0.253584 | − | 0.300768i | ||||
\(837\) | −5.55782 | + | 5.55782i | −0.192106 | + | 0.192106i | ||||
\(838\) | 1.31189 | − | 14.9949i | 0.0453183 | − | 0.517991i | ||||
\(839\) | 7.92991 | + | 2.88625i | 0.273771 | + | 0.0996444i | 0.475257 | − | 0.879847i | \(-0.342355\pi\) |
−0.201487 | + | 0.979491i | \(0.564577\pi\) | |||||||
\(840\) | −2.11933 | + | 2.66527i | −0.0731238 | + | 0.0919606i | ||||
\(841\) | −4.71363 | − | 26.7323i | −0.162539 | − | 0.921804i | ||||
\(842\) | −1.13224 | + | 2.42809i | −0.0390195 | + | 0.0836776i | ||||
\(843\) | −3.29489 | + | 0.882862i | −0.113482 | + | 0.0304074i | ||||
\(844\) | −9.43381 | − | 16.3398i | −0.324725 | − | 0.562441i | ||||
\(845\) | −6.86824 | + | 15.8031i | −0.236275 | + | 0.543642i | ||||
\(846\) | −1.51982 | + | 1.81126i | −0.0522526 | + | 0.0622723i | ||||
\(847\) | 6.16372 | + | 1.65156i | 0.211788 | + | 0.0567484i | ||||
\(848\) | −2.82946 | − | 10.5597i | −0.0971641 | − | 0.362621i | ||||
\(849\) | 25.5713 | − | 9.30719i | 0.877604 | − | 0.319422i | ||||
\(850\) | −4.62806 | − | 4.95968i | −0.158741 | − | 0.170116i | ||||
\(851\) | −10.5323 | − | 1.85713i | −0.361044 | − | 0.0636617i | ||||
\(852\) | −4.41718 | + | 2.05976i | −0.151330 | + | 0.0705663i | ||||
\(853\) | −39.7096 | − | 3.47414i | −1.35963 | − | 0.118952i | −0.616107 | − | 0.787662i | \(-0.711291\pi\) |
−0.743523 | + | 0.668710i | \(0.766847\pi\) | |||||||
\(854\) | −15.6500 | −0.535533 | ||||||||
\(855\) | 2.74778 | + | 9.35146i | 0.0939720 | + | 0.319813i | ||||
\(856\) | −0.253156 | −0.00865269 | ||||||||
\(857\) | −37.6359 | − | 3.29272i | −1.28562 | − | 0.112477i | −0.576226 | − | 0.817290i | \(-0.695475\pi\) |
−0.709393 | + | 0.704813i | \(0.751031\pi\) | |||||||
\(858\) | −5.44168 | + | 2.53750i | −0.185776 | + | 0.0866288i | ||||
\(859\) | 35.1548 | + | 6.19875i | 1.19947 | + | 0.211499i | 0.737468 | − | 0.675382i | \(-0.236021\pi\) |
0.462000 | + | 0.886880i | \(0.347132\pi\) | |||||||
\(860\) | 16.5974 | + | 5.55033i | 0.565966 | + | 0.189265i | ||||
\(861\) | 16.7558 | − | 6.09861i | 0.571036 | − | 0.207840i | ||||
\(862\) | 8.32350 | + | 31.0637i | 0.283500 | + | 1.05803i | ||||
\(863\) | 39.9742 | + | 10.7111i | 1.36074 | + | 0.364609i | 0.864087 | − | 0.503342i | \(-0.167896\pi\) |
0.496650 | + | 0.867951i | \(0.334563\pi\) | |||||||
\(864\) | 0.642788 | − | 0.766044i | 0.0218681 | − | 0.0260614i | ||||
\(865\) | 9.36911 | − | 3.69239i | 0.318559 | − | 0.125545i | ||||
\(866\) | 7.96648 | + | 13.7983i | 0.270712 | + | 0.468887i | ||||
\(867\) | 14.6428 | − | 3.92352i | 0.497294 | − | 0.133250i | ||||
\(868\) | 5.05850 | − | 10.8480i | 0.171697 | − | 0.368205i | ||||
\(869\) | 3.47327 | + | 19.6979i | 0.117823 | + | 0.668206i | ||||
\(870\) | −0.345291 | − | 3.02611i | −0.0117065 | − | 0.102595i | ||||
\(871\) | −13.9492 | − | 5.07708i | −0.472649 | − | 0.172030i | ||||
\(872\) | 0.115200 | − | 1.31675i | 0.00390118 | − | 0.0445907i | ||||
\(873\) | 8.77436 | − | 8.77436i | 0.296967 | − | 0.296967i | ||||
\(874\) | −6.82182 | − | 3.96003i | −0.230752 | − | 0.133950i | ||||
\(875\) | −1.34430 | − | 16.9727i | −0.0454457 | − | 0.573783i | ||||
\(876\) | −2.82897 | − | 3.37143i | −0.0955820 | − | 0.113910i | ||||
\(877\) | −5.84906 | − | 12.5433i | −0.197509 | − | 0.423559i | 0.782463 | − | 0.622698i | \(-0.213963\pi\) |
−0.979971 | + | 0.199139i | \(0.936186\pi\) | |||||||
\(878\) | 8.20579 | − | 5.74576i | 0.276932 | − | 0.193910i | ||||
\(879\) | 23.5467 | − | 4.15192i | 0.794211 | − | 0.140041i | ||||
\(880\) | 4.69002 | − | 3.47164i | 0.158100 | − | 0.117029i | ||||
\(881\) | −7.50296 | + | 12.9955i | −0.252781 | + | 0.437830i | −0.964290 | − | 0.264847i | \(-0.914679\pi\) |
0.711509 | + | 0.702677i | \(0.248012\pi\) | |||||||
\(882\) | 1.21152 | − | 4.52146i | 0.0407940 | − | 0.152245i | ||||
\(883\) | −2.23943 | − | 25.5968i | −0.0753629 | − | 0.861402i | −0.935958 | − | 0.352112i | \(-0.885464\pi\) |
0.860595 | − | 0.509290i | \(-0.170092\pi\) | |||||||
\(884\) | 2.39132 | + | 2.00656i | 0.0804289 | + | 0.0674878i | ||||
\(885\) | −16.5431 | + | 0.435948i | −0.556089 | + | 0.0146542i | ||||
\(886\) | 15.2921 | + | 8.82889i | 0.513748 | + | 0.296613i | ||||
\(887\) | 38.5103 | + | 17.9576i | 1.29305 | + | 0.602959i | 0.942694 | − | 0.333658i | \(-0.108283\pi\) |
0.350355 | + | 0.936617i | \(0.386061\pi\) | |||||||
\(888\) | 4.84119 | + | 3.38984i | 0.162460 | + | 0.113756i | ||||
\(889\) | −0.787361 | + | 4.46534i | −0.0264072 | + | 0.149763i | ||||
\(890\) | −12.2318 | − | 13.8209i | −0.410011 | − | 0.463277i | ||||
\(891\) | −1.99902 | + | 1.67738i | −0.0669698 | + | 0.0561944i | ||||
\(892\) | 4.62245 | + | 4.62245i | 0.154771 | + | 0.154771i | ||||
\(893\) | −5.89155 | − | 8.45632i | −0.197153 | − | 0.282980i | ||||
\(894\) | 6.19101i | 0.207058i | ||||||||
\(895\) | 12.0588 | − | 18.2255i | 0.403082 | − | 0.609211i | ||||
\(896\) | −0.520842 | + | 1.43100i | −0.0174001 | + | 0.0478064i | ||||
\(897\) | 2.38819 | + | 3.41070i | 0.0797395 | + | 0.113880i | ||||
\(898\) | −10.2155 | + | 14.5892i | −0.340895 | + | 0.486849i | ||||
\(899\) | 3.66167 | + | 10.0603i | 0.122123 | + | 0.335531i | ||||
\(900\) | 0.263340 | + | 4.99306i | 0.00877801 | + | 0.166435i | ||||
\(901\) | 12.8448 | − | 7.41597i | 0.427924 | − | 0.247062i | ||||
\(902\) | −30.4392 | + | 2.66308i | −1.01351 | + | 0.0886710i | ||||
\(903\) | 11.8733 | − | 1.03878i | 0.395119 | − | 0.0345685i | ||||
\(904\) | −5.18664 | + | 2.99451i | −0.172505 | + | 0.0995958i | ||||
\(905\) | −16.1546 | − | 3.87554i | −0.536998 | − | 0.128827i | ||||
\(906\) | 3.49369 | + | 9.59882i | 0.116070 | + | 0.318900i | ||||
\(907\) | 15.5947 | − | 22.2715i | 0.517813 | − | 0.739513i | −0.472045 | − | 0.881574i | \(-0.656484\pi\) |
0.989858 | + | 0.142061i | \(0.0453729\pi\) | |||||||
\(908\) | 5.45807 | + | 7.79493i | 0.181132 | + | 0.258684i | ||||
\(909\) | −0.248128 | + | 0.681726i | −0.00822989 | + | 0.0226114i | ||||
\(910\) | 1.56330 | + | 7.67734i | 0.0518229 | + | 0.254501i | ||||
\(911\) | 40.1806i | 1.33124i | 0.746289 | + | 0.665622i | \(0.231833\pi\) | ||||
−0.746289 | + | 0.665622i | \(0.768167\pi\) | |||||||
\(912\) | 2.49175 | + | 3.57648i | 0.0825100 | + | 0.118429i | ||||
\(913\) | 25.1909 | + | 25.1909i | 0.833697 | + | 0.833697i | ||||
\(914\) | −14.4291 | + | 12.1075i | −0.477272 | + | 0.400479i | ||||
\(915\) | −17.2083 | + | 15.2297i | −0.568889 | + | 0.503479i | ||||
\(916\) | −2.42368 | + | 13.7454i | −0.0800806 | + | 0.454160i | ||||
\(917\) | −4.77541 | − | 3.34378i | −0.157698 | − | 0.110421i | ||||
\(918\) | 1.22961 | + | 0.573376i | 0.0405831 | + | 0.0189242i | ||||
\(919\) | 20.7343 | + | 11.9709i | 0.683961 | + | 0.394885i | 0.801346 | − | 0.598201i | \(-0.204118\pi\) |
−0.117385 | + | 0.993087i | \(0.537451\pi\) | |||||||
\(920\) | −2.93563 | − | 2.78488i | −0.0967847 | − | 0.0918147i | ||||
\(921\) | −19.3552 | − | 16.2409i | −0.637775 | − | 0.535157i | ||||
\(922\) | 0.847499 | + | 9.68696i | 0.0279109 | + | 0.319023i | ||||
\(923\) | −2.90241 | + | 10.8319i | −0.0955340 | + | 0.356538i | ||||
\(924\) | 1.98696 | − | 3.44151i | 0.0653661 | − | 0.113217i | ||||
\(925\) | −29.2611 | + | 4.12230i | −0.962099 | + | 0.135540i | ||||
\(926\) | 25.2208 | − | 4.44711i | 0.828807 | − | 0.146141i | ||||
\(927\) | 2.77730 | − | 1.94469i | 0.0912185 | − | 0.0638719i | ||||
\(928\) | −0.575647 | − | 1.23448i | −0.0188965 | − | 0.0405238i | ||||
\(929\) | −22.2311 | − | 26.4940i | −0.729378 | − | 0.869239i | 0.266128 | − | 0.963938i | \(-0.414256\pi\) |
−0.995506 | + | 0.0946990i | \(0.969811\pi\) | |||||||
\(930\) | −4.99447 | − | 16.8508i | −0.163775 | − | 0.552558i | ||||
\(931\) | 17.6462 | + | 10.2435i | 0.578329 | + | 0.335717i | ||||
\(932\) | −11.9050 | + | 11.9050i | −0.389963 | + | 0.389963i | ||||
\(933\) | 1.04440 | − | 11.9375i | 0.0341920 | − | 0.390816i | ||||
\(934\) | −20.7275 | − | 7.54420i | −0.678225 | − | 0.246854i | ||||
\(935\) | 6.19643 | + | 4.92718i | 0.202645 | + | 0.161136i | ||||
\(936\) | −0.399543 | − | 2.26592i | −0.0130595 | − | 0.0740639i | ||||
\(937\) | −13.2198 | + | 28.3501i | −0.431874 | + | 0.926156i | 0.563135 | + | 0.826365i | \(0.309595\pi\) |
−0.995008 | + | 0.0997910i | \(0.968183\pi\) | |||||||
\(938\) | 9.49002 | − | 2.54284i | 0.309860 | − | 0.0830268i | ||||
\(939\) | 3.66617 | + | 6.34999i | 0.119641 | + | 0.207224i | ||||
\(940\) | −1.93852 | − | 4.91881i | −0.0632275 | − | 0.160434i | ||||
\(941\) | 30.3339 | − | 36.1505i | 0.988856 | − | 1.17847i | 0.00491343 | − | 0.999988i | \(-0.498436\pi\) |
0.983943 | − | 0.178485i | \(-0.0571196\pi\) | |||||||
\(942\) | 16.9682 | + | 4.54662i | 0.552854 | + | 0.148137i | ||||
\(943\) | 5.48411 | + | 20.4670i | 0.178587 | + | 0.666496i | ||||
\(944\) | −6.95453 | + | 2.53124i | −0.226351 | + | 0.0823849i | ||||
\(945\) | 1.51989 | + | 3.04716i | 0.0494420 | + | 0.0991240i | ||||
\(946\) | −20.1136 | − | 3.54657i | −0.653949 | − | 0.115309i | ||||
\(947\) | 2.05173 | − | 0.956736i | 0.0666722 | − | 0.0310898i | −0.388996 | − | 0.921239i | \(-0.627178\pi\) |
0.455668 | + | 0.890150i | \(0.349400\pi\) | |||||||
\(948\) | −7.63570 | − | 0.668037i | −0.247996 | − | 0.0216968i | ||||
\(949\) | −10.1264 | −0.328716 | ||||||||
\(950\) | −21.3090 | − | 4.57444i | −0.691356 | − | 0.148414i | ||||
\(951\) | 29.1864 | 0.946435 | ||||||||
\(952\) | −2.05821 | − | 0.180070i | −0.0667070 | − | 0.00583610i | ||||
\(953\) | 21.5463 | − | 10.0472i | 0.697954 | − | 0.325461i | −0.0410547 | − | 0.999157i | \(-0.513072\pi\) |
0.739009 | + | 0.673695i | \(0.235294\pi\) | |||||||
\(954\) | −10.7661 | − | 1.89836i | −0.348566 | − | 0.0614615i | ||||
\(955\) | −13.7994 | − | 27.6658i | −0.446538 | − | 0.895245i | ||||
\(956\) | −23.7479 | + | 8.64353i | −0.768062 | + | 0.279552i | ||||
\(957\) | 0.919959 | + | 3.43333i | 0.0297381 | + | 0.110984i | ||||
\(958\) | 15.3285 | + | 4.10727i | 0.495243 | + | 0.132700i | ||||
\(959\) | −4.05542 | + | 4.83306i | −0.130956 | + | 0.156068i | ||||
\(960\) | 0.819868 | + | 2.08034i | 0.0264611 | + | 0.0671427i | ||||
\(961\) | 15.3893 | + | 26.6551i | 0.496430 | + | 0.859841i | ||||
\(962\) | 13.1348 | − | 3.51947i | 0.423485 | − | 0.113472i | ||||
\(963\) | −0.106988 | + | 0.229437i | −0.00344765 | + | 0.00739351i | ||||
\(964\) | 3.97367 | + | 22.5358i | 0.127983 | + | 0.725830i | ||||
\(965\) | 46.1129 | + | 36.6673i | 1.48443 | + | 1.18036i | ||||
\(966\) | −2.58956 | − | 0.942521i | −0.0833176 | − | 0.0303251i | ||||
\(967\) | −1.69562 | + | 19.3810i | −0.0545274 | + | 0.623251i | 0.918936 | + | 0.394407i | \(0.129050\pi\) |
−0.973463 | + | 0.228844i | \(0.926506\pi\) | |||||||
\(968\) | 2.96299 | − | 2.96299i | 0.0952340 | − | 0.0952340i | ||||
\(969\) | −3.81198 | + | 4.52128i | −0.122459 | + | 0.145244i | ||||
\(970\) | 7.88499 | + | 26.6030i | 0.253172 | + | 0.854172i | ||||
\(971\) | −21.4736 | − | 25.5913i | −0.689122 | − | 0.821264i | 0.302127 | − | 0.953268i | \(-0.402303\pi\) |
−0.991249 | + | 0.132004i | \(0.957859\pi\) | |||||||
\(972\) | −0.422618 | − | 0.906308i | −0.0135555 | − | 0.0290698i | ||||
\(973\) | −9.92555 | + | 6.94994i | −0.318198 | + | 0.222805i | ||||
\(974\) | −17.0093 | + | 2.99919i | −0.545012 | + | 0.0961002i | ||||
\(975\) | 9.19011 | + | 6.92045i | 0.294319 | + | 0.221632i | ||||
\(976\) | −5.13844 | + | 8.90003i | −0.164477 | + | 0.284883i | ||||
\(977\) | 10.0204 | − | 37.3966i | 0.320581 | − | 1.19642i | −0.598100 | − | 0.801421i | \(-0.704077\pi\) |
0.918681 | − | 0.395001i | \(-0.129256\pi\) | |||||||
\(978\) | −1.80668 | − | 20.6504i | −0.0577711 | − | 0.660327i | ||||
\(979\) | 16.4997 | + | 13.8449i | 0.527334 | + | 0.442486i | ||||
\(980\) | 7.59365 | + | 7.20370i | 0.242570 | + | 0.230114i | ||||
\(981\) | −1.14469 | − | 0.660889i | −0.0365472 | − | 0.0211005i | ||||
\(982\) | −30.9161 | − | 14.4164i | −0.986573 | − | 0.460047i | ||||
\(983\) | 36.3907 | + | 25.4810i | 1.16068 | + | 0.812719i | 0.985140 | − | 0.171753i | \(-0.0549431\pi\) |
0.175543 | + | 0.984472i | \(0.443832\pi\) | |||||||
\(984\) | 2.03327 | − | 11.5312i | 0.0648183 | − | 0.367603i | ||||
\(985\) | −13.8987 | + | 12.3007i | −0.442851 | + | 0.391932i | ||||
\(986\) | 1.41564 | − | 1.18786i | 0.0450832 | − | 0.0378293i | ||||
\(987\) | −2.54604 | − | 2.54604i | −0.0810414 | − | 0.0810414i | ||||
\(988\) | 9.98904 | + | 0.897636i | 0.317794 | + | 0.0285576i | ||||
\(989\) | 14.1631i | 0.450361i | ||||||||
\(990\) | −1.16428 | − | 5.71778i | −0.0370034 | − | 0.181723i | ||||
\(991\) | −14.5985 | + | 40.1090i | −0.463736 | + | 1.27411i | 0.458918 | + | 0.888478i | \(0.348237\pi\) |
−0.922655 | + | 0.385627i | \(0.873985\pi\) | |||||||
\(992\) | −4.50828 | − | 6.43848i | −0.143138 | − | 0.204422i | ||||
\(993\) | −19.2841 | + | 27.5405i | −0.611962 | + | 0.873972i | ||||
\(994\) | −2.53849 | − | 6.97444i | −0.0805160 | − | 0.221216i | ||||
\(995\) | −38.0351 | − | 9.12473i | −1.20579 | − | 0.289274i | ||||
\(996\) | −11.8229 | + | 6.82597i | −0.374624 | + | 0.216289i | ||||
\(997\) | −54.0275 | + | 4.72680i | −1.71107 | + | 0.149699i | −0.900185 | − | 0.435507i | \(-0.856569\pi\) |
−0.810884 | + | 0.585207i | \(0.801013\pi\) | |||||||
\(998\) | 2.18362 | − | 0.191042i | 0.0691213 | − | 0.00604733i | ||||
\(999\) | 5.11822 | − | 2.95500i | 0.161933 | − | 0.0934922i |
(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 | 570.2.bh.a.13.9 | ✓ | 120 | |
5.2 | odd | 4 | inner | 570.2.bh.a.127.3 | yes | 120 | |
19.3 | odd | 18 | inner | 570.2.bh.a.193.3 | yes | 120 | |
95.22 | even | 36 | inner | 570.2.bh.a.307.9 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bh.a.13.9 | ✓ | 120 | 1.1 | even | 1 | trivial | |
570.2.bh.a.127.3 | yes | 120 | 5.2 | odd | 4 | inner | |
570.2.bh.a.193.3 | yes | 120 | 19.3 | odd | 18 | inner | |
570.2.bh.a.307.9 | yes | 120 | 95.22 | even | 36 | inner |