Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [164,2,Mod(7,164)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(164, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("164.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 164 = 2^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 164.o (of order \(40\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.30954659315\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 164.11 |
Dual form | 164.2.o.b.15.3 |
$q$-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 \(\left(\mathbb{Z}/164\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(129\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23657 | + | 0.686220i | −0.874386 | + | 0.485231i | ||||
\(3\) | −0.869335 | + | 2.09876i | −0.501911 | + | 1.21172i | 0.446531 | + | 0.894768i | \(0.352659\pi\) |
−0.948442 | + | 0.316952i | \(0.897341\pi\) | |||||||
\(4\) | 1.05820 | − | 1.69712i | 0.529102 | − | 0.848558i | ||||
\(5\) | 1.95666 | − | 3.84017i | 0.875046 | − | 1.71737i | 0.199723 | − | 0.979852i | \(-0.435996\pi\) |
0.675323 | − | 0.737522i | \(-0.264004\pi\) | |||||||
\(6\) | −0.365220 | − | 3.19182i | −0.149100 | − | 1.30305i | ||||
\(7\) | −0.861690 | − | 3.58920i | −0.325688 | − | 1.35659i | −0.859565 | − | 0.511026i | \(-0.829265\pi\) |
0.533877 | − | 0.845562i | \(-0.320735\pi\) | |||||||
\(8\) | −0.143945 | + | 2.82476i | −0.0508921 | + | 0.998704i | ||||
\(9\) | −1.52773 | − | 1.52773i | −0.509244 | − | 0.509244i | ||||
\(10\) | 0.215653 | + | 6.09133i | 0.0681955 | + | 1.92625i | ||||
\(11\) | 1.33744 | − | 1.56594i | 0.403253 | − | 0.472149i | −0.521206 | − | 0.853431i | \(-0.674518\pi\) |
0.924459 | + | 0.381283i | \(0.124518\pi\) | |||||||
\(12\) | 2.64191 | + | 3.69628i | 0.762653 | + | 1.06702i | ||||
\(13\) | −0.539305 | − | 0.880065i | −0.149576 | − | 0.244086i | 0.769073 | − | 0.639162i | \(-0.220718\pi\) |
−0.918649 | + | 0.395075i | \(0.870718\pi\) | |||||||
\(14\) | 3.52852 | + | 3.84698i | 0.943036 | + | 1.02815i | ||||
\(15\) | 6.35859 | + | 7.44496i | 1.64178 | + | 1.92228i | ||||
\(16\) | −1.76041 | − | 3.59179i | −0.440103 | − | 0.897947i | ||||
\(17\) | 0.209993 | + | 2.66821i | 0.0509307 | + | 0.647136i | 0.968412 | + | 0.249356i | \(0.0802190\pi\) |
−0.917481 | + | 0.397779i | \(0.869781\pi\) | |||||||
\(18\) | 2.93751 | + | 0.840784i | 0.692377 | + | 0.198175i | ||||
\(19\) | −0.0153290 | − | 0.00939360i | −0.00351670 | − | 0.00215504i | 0.520739 | − | 0.853716i | \(-0.325656\pi\) |
−0.524256 | + | 0.851561i | \(0.675656\pi\) | |||||||
\(20\) | −4.44666 | − | 7.38436i | −0.994304 | − | 1.65119i | ||||
\(21\) | 8.28196 | + | 1.31173i | 1.80727 | + | 0.286244i | ||||
\(22\) | −0.579255 | + | 2.85417i | −0.123498 | + | 0.608511i | ||||
\(23\) | 3.82860 | + | 2.78164i | 0.798318 | + | 0.580012i | 0.910420 | − | 0.413685i | \(-0.135758\pi\) |
−0.112103 | + | 0.993697i | \(0.535758\pi\) | |||||||
\(24\) | −5.80336 | − | 2.75777i | −1.18461 | − | 0.562927i | ||||
\(25\) | −7.97942 | − | 10.9827i | −1.59588 | − | 2.19655i | ||||
\(26\) | 1.27081 | + | 0.718179i | 0.249225 | + | 0.140846i | ||||
\(27\) | −1.76183 | + | 0.729773i | −0.339064 | + | 0.140445i | ||||
\(28\) | −7.00313 | − | 2.33571i | −1.32347 | − | 0.441408i | ||||
\(29\) | −0.347443 | + | 4.41468i | −0.0645186 | + | 0.819786i | 0.876494 | + | 0.481414i | \(0.159876\pi\) |
−0.941012 | + | 0.338373i | \(0.890124\pi\) | |||||||
\(30\) | −12.9717 | − | 4.84280i | −2.36830 | − | 0.884171i | ||||
\(31\) | 2.93653 | − | 9.03770i | 0.527416 | − | 1.62322i | −0.232072 | − | 0.972699i | \(-0.574551\pi\) |
0.759488 | − | 0.650521i | \(-0.225449\pi\) | |||||||
\(32\) | 4.64163 | + | 3.23346i | 0.820532 | + | 0.571601i | ||||
\(33\) | 2.12385 | + | 4.16829i | 0.369715 | + | 0.725606i | ||||
\(34\) | −2.09065 | − | 3.15532i | −0.358543 | − | 0.541133i | ||||
\(35\) | −15.4691 | − | 3.71381i | −2.61476 | − | 0.627749i | ||||
\(36\) | −4.20939 | + | 0.976089i | −0.701565 | + | 0.162681i | ||||
\(37\) | 1.09296 | + | 3.36379i | 0.179682 | + | 0.553003i | 0.999816 | − | 0.0191673i | \(-0.00610151\pi\) |
−0.820135 | + | 0.572171i | \(0.806102\pi\) | |||||||
\(38\) | 0.0254014 | + | 0.00109678i | 0.00412065 | + | 0.000177922i | ||||
\(39\) | 2.31588 | − | 0.366800i | 0.370838 | − | 0.0587350i | ||||
\(40\) | 10.5659 | + | 6.07988i | 1.67062 | + | 0.961313i | ||||
\(41\) | 6.09681 | + | 1.95675i | 0.952162 | + | 0.305593i | ||||
\(42\) | −11.1413 | + | 4.06120i | −1.71915 | + | 0.626657i | ||||
\(43\) | 0.739649 | + | 4.66996i | 0.112795 | + | 0.712162i | 0.977666 | + | 0.210166i | \(0.0674006\pi\) |
−0.864870 | + | 0.501995i | \(0.832599\pi\) | |||||||
\(44\) | −1.24230 | − | 3.92687i | −0.187284 | − | 0.591998i | ||||
\(45\) | −8.85600 | + | 2.87749i | −1.32017 | + | 0.428951i | ||||
\(46\) | −6.64314 | − | 0.812425i | −0.979477 | − | 0.119786i | ||||
\(47\) | −0.161108 | + | 0.671065i | −0.0235001 | + | 0.0978849i | −0.982887 | − | 0.184207i | \(-0.941028\pi\) |
0.959387 | + | 0.282092i | \(0.0910283\pi\) | |||||||
\(48\) | 9.06869 | − | 0.572214i | 1.30895 | − | 0.0825919i | ||||
\(49\) | −5.90277 | + | 3.00761i | −0.843253 | + | 0.429659i | ||||
\(50\) | 17.4037 | + | 8.10526i | 2.46125 | + | 1.14626i | ||||
\(51\) | −5.78248 | − | 1.87884i | −0.809710 | − | 0.263091i | ||||
\(52\) | −2.06427 | − | 0.0160249i | −0.286262 | − | 0.00222225i | ||||
\(53\) | 0.621948 | + | 0.0489484i | 0.0854312 | + | 0.00672358i | 0.121103 | − | 0.992640i | \(-0.461357\pi\) |
−0.0356715 | + | 0.999364i | \(0.511357\pi\) | |||||||
\(54\) | 1.67784 | − | 2.11142i | 0.228324 | − | 0.287327i | ||||
\(55\) | −3.39655 | − | 8.20000i | −0.457991 | − | 1.10569i | ||||
\(56\) | 10.2627 | − | 1.91742i | 1.37141 | − | 0.256226i | ||||
\(57\) | 0.0330409 | − | 0.0240056i | 0.00437638 | − | 0.00317962i | ||||
\(58\) | −2.59981 | − | 5.69748i | −0.341372 | − | 0.748116i | ||||
\(59\) | 1.67985 | − | 2.31211i | 0.218697 | − | 0.301011i | −0.685545 | − | 0.728030i | \(-0.740436\pi\) |
0.904243 | + | 0.427019i | \(0.140436\pi\) | |||||||
\(60\) | 19.3636 | − | 2.91300i | 2.49984 | − | 0.376067i | ||||
\(61\) | −0.0314575 | + | 0.198615i | −0.00402771 | + | 0.0254300i | −0.989620 | − | 0.143707i | \(-0.954098\pi\) |
0.985593 | + | 0.169136i | \(0.0540979\pi\) | |||||||
\(62\) | 2.57064 | + | 13.1908i | 0.326471 | + | 1.67524i | ||||
\(63\) | −4.16690 | + | 6.79976i | −0.524980 | + | 0.856689i | ||||
\(64\) | −7.95856 | − | 0.813219i | −0.994820 | − | 0.101652i | ||||
\(65\) | −4.43483 | + | 0.349029i | −0.550073 | + | 0.0432917i | ||||
\(66\) | −5.48665 | − | 3.69695i | −0.675360 | − | 0.455063i | ||||
\(67\) | −7.84431 | + | 6.69967i | −0.958335 | + | 0.818495i | −0.983448 | − | 0.181189i | \(-0.942005\pi\) |
0.0251134 | + | 0.999685i | \(0.492005\pi\) | |||||||
\(68\) | 4.75048 | + | 2.46713i | 0.576080 | + | 0.299183i | ||||
\(69\) | −9.16633 | + | 5.61713i | −1.10350 | + | 0.676223i | ||||
\(70\) | 21.6772 | − | 6.02286i | 2.59092 | − | 0.719869i | ||||
\(71\) | −1.54140 | − | 1.31648i | −0.182931 | − | 0.156238i | 0.553267 | − | 0.833004i | \(-0.313381\pi\) |
−0.736198 | + | 0.676766i | \(0.763381\pi\) | |||||||
\(72\) | 4.53539 | − | 4.09557i | 0.534501 | − | 0.482668i | ||||
\(73\) | 3.34006 | − | 3.34006i | 0.390924 | − | 0.390924i | −0.484093 | − | 0.875017i | \(-0.660850\pi\) |
0.875017 | + | 0.484093i | \(0.160850\pi\) | |||||||
\(74\) | −3.65982 | − | 3.40954i | −0.425446 | − | 0.396351i | ||||
\(75\) | 29.9869 | − | 7.19922i | 3.46259 | − | 0.831294i | ||||
\(76\) | −0.0321632 | + | 0.0160747i | −0.00368937 | + | 0.00184389i | ||||
\(77\) | −6.77292 | − | 3.45098i | −0.771846 | − | 0.393275i | ||||
\(78\) | −2.61204 | + | 2.04278i | −0.295755 | + | 0.231299i | ||||
\(79\) | 1.95198 | + | 0.808536i | 0.219615 | + | 0.0909674i | 0.489778 | − | 0.871847i | \(-0.337078\pi\) |
−0.270164 | + | 0.962814i | \(0.587078\pi\) | |||||||
\(80\) | −17.2376 | − | 0.267646i | −1.92722 | − | 0.0299238i | ||||
\(81\) | − | 10.8137i | − | 1.20152i | ||||||
\(82\) | −8.88189 | + | 1.76410i | −0.980840 | + | 0.194813i | ||||
\(83\) | 14.8802i | 1.63332i | 0.577121 | + | 0.816658i | \(0.304176\pi\) | ||||
−0.577121 | + | 0.816658i | \(0.695824\pi\) | |||||||
\(84\) | 10.9902 | − | 12.6674i | 1.19913 | − | 1.38212i | ||||
\(85\) | 10.6572 | + | 4.41438i | 1.15594 | + | 0.478806i | ||||
\(86\) | −4.11925 | − | 5.26716i | −0.444190 | − | 0.567973i | ||||
\(87\) | −8.96332 | − | 4.56704i | −0.960969 | − | 0.489638i | ||||
\(88\) | 4.23089 | + | 4.00336i | 0.451014 | + | 0.426759i | ||||
\(89\) | 3.06418 | − | 0.735646i | 0.324803 | − | 0.0779783i | −0.0677650 | − | 0.997701i | \(-0.521587\pi\) |
0.392568 | + | 0.919723i | \(0.371587\pi\) | |||||||
\(90\) | 8.97646 | − | 9.63538i | 0.946202 | − | 1.01566i | ||||
\(91\) | −2.69401 | + | 2.69401i | −0.282409 | + | 0.282409i | ||||
\(92\) | 8.77220 | − | 3.55404i | 0.914565 | − | 0.370534i | ||||
\(93\) | 16.4151 | + | 14.0199i | 1.70217 | + | 1.45379i | ||||
\(94\) | −0.261277 | − | 0.940374i | −0.0269486 | − | 0.0969922i | ||||
\(95\) | −0.0660666 | + | 0.0404856i | −0.00677829 | + | 0.00415374i | ||||
\(96\) | −10.8214 | + | 6.93070i | −1.10445 | + | 0.707362i | ||||
\(97\) | −2.16349 | + | 1.84779i | −0.219669 | + | 0.187615i | −0.752472 | − | 0.658624i | \(-0.771139\pi\) |
0.532803 | + | 0.846239i | \(0.321139\pi\) | |||||||
\(98\) | 5.23530 | − | 7.76972i | 0.528845 | − | 0.784861i | ||||
\(99\) | −4.43558 | + | 0.349088i | −0.445793 | + | 0.0350847i | ||||
\(100\) | −27.0828 | + | 1.92005i | −2.70828 | + | 0.192005i | ||||
\(101\) | −7.24965 | + | 11.8304i | −0.721367 | + | 1.17716i | 0.256217 | + | 0.966619i | \(0.417524\pi\) |
−0.977584 | + | 0.210545i | \(0.932476\pi\) | |||||||
\(102\) | 8.43974 | − | 1.64474i | 0.835659 | − | 0.162854i | ||||
\(103\) | −0.480440 | + | 3.03338i | −0.0473391 | + | 0.298888i | −0.999987 | − | 0.00518966i | \(-0.998348\pi\) |
0.952647 | + | 0.304077i | \(0.0983481\pi\) | |||||||
\(104\) | 2.56360 | − | 1.39673i | 0.251382 | − | 0.136960i | ||||
\(105\) | 21.2423 | − | 29.2375i | 2.07303 | − | 2.85329i | ||||
\(106\) | −0.802671 | + | 0.366265i | −0.0779623 | + | 0.0355748i | ||||
\(107\) | 9.75028 | − | 7.08399i | 0.942595 | − | 0.684835i | −0.00644893 | − | 0.999979i | \(-0.502053\pi\) |
0.949044 | + | 0.315144i | \(0.102053\pi\) | |||||||
\(108\) | −0.625862 | + | 3.76227i | −0.0602236 | + | 0.362025i | ||||
\(109\) | 4.33962 | + | 10.4768i | 0.415660 | + | 1.00349i | 0.983590 | + | 0.180416i | \(0.0577443\pi\) |
−0.567930 | + | 0.823077i | \(0.692256\pi\) | |||||||
\(110\) | 9.82708 | + | 7.80908i | 0.936975 | + | 0.744567i | ||||
\(111\) | −8.00993 | − | 0.630396i | −0.760269 | − | 0.0598345i | ||||
\(112\) | −11.3747 | + | 9.41347i | −1.07481 | + | 0.889489i | ||||
\(113\) | −4.46010 | − | 1.44917i | −0.419571 | − | 0.136327i | 0.0916200 | − | 0.995794i | \(-0.470795\pi\) |
−0.511191 | + | 0.859467i | \(0.670795\pi\) | |||||||
\(114\) | −0.0243842 | + | 0.0523579i | −0.00228379 | + | 0.00490377i | ||||
\(115\) | 18.1732 | − | 9.25972i | 1.69466 | − | 0.863473i | ||||
\(116\) | 7.12457 | + | 5.26129i | 0.661500 | + | 0.488498i | ||||
\(117\) | −0.520591 | + | 2.16842i | −0.0481286 | + | 0.200470i | ||||
\(118\) | −0.490628 | + | 4.01183i | −0.0451660 | + | 0.369319i | ||||
\(119\) | 9.39578 | − | 3.05287i | 0.861309 | − | 0.279856i | ||||
\(120\) | −21.9455 | + | 16.8899i | −2.00334 | + | 1.54183i | ||||
\(121\) | 1.05735 | + | 6.67587i | 0.0961231 | + | 0.606898i | ||||
\(122\) | −0.0973940 | − | 0.267187i | −0.00881764 | − | 0.0241900i | ||||
\(123\) | −9.40692 | + | 11.0947i | −0.848194 | + | 1.00037i | ||||
\(124\) | −12.2306 | − | 14.5474i | −1.09834 | − | 1.30639i | ||||
\(125\) | −36.5043 | + | 5.78171i | −3.26504 | + | 0.517132i | ||||
\(126\) | 0.486522 | − | 11.2678i | 0.0433428 | − | 1.00381i | ||||
\(127\) | −1.87165 | − | 5.76034i | −0.166082 | − | 0.511148i | 0.833032 | − | 0.553224i | \(-0.186603\pi\) |
−0.999114 | + | 0.0420763i | \(0.986603\pi\) | |||||||
\(128\) | 10.3994 | − | 4.45572i | 0.919182 | − | 0.393834i | ||||
\(129\) | −10.4441 | − | 2.50741i | −0.919554 | − | 0.220765i | ||||
\(130\) | 5.24446 | − | 3.47487i | 0.459970 | − | 0.304766i | ||||
\(131\) | 5.91575 | + | 11.6103i | 0.516862 | + | 1.01440i | 0.990989 | + | 0.133942i | \(0.0427635\pi\) |
−0.474128 | + | 0.880456i | \(0.657236\pi\) | |||||||
\(132\) | 9.32154 | + | 0.806477i | 0.811336 | + | 0.0701948i | ||||
\(133\) | −0.0205067 | + | 0.0631130i | −0.00177815 | + | 0.00547259i | ||||
\(134\) | 5.10257 | − | 13.6675i | 0.440795 | − | 1.18069i | ||||
\(135\) | −0.644853 | + | 8.19363i | −0.0555001 | + | 0.705195i | ||||
\(136\) | −7.56728 | + | 0.209104i | −0.648889 | + | 0.0179306i | ||||
\(137\) | −1.69788 | + | 0.703284i | −0.145059 | + | 0.0600856i | −0.454032 | − | 0.890985i | \(-0.650015\pi\) |
0.308973 | + | 0.951071i | \(0.400015\pi\) | |||||||
\(138\) | 7.48020 | − | 13.2361i | 0.636757 | − | 1.12673i | ||||
\(139\) | −3.30464 | − | 4.54845i | −0.280296 | − | 0.385794i | 0.645536 | − | 0.763730i | \(-0.276634\pi\) |
−0.925832 | + | 0.377936i | \(0.876634\pi\) | |||||||
\(140\) | −22.6723 | + | 22.3230i | −1.91616 | + | 1.88664i | ||||
\(141\) | −1.26835 | − | 0.921509i | −0.106814 | − | 0.0776050i | ||||
\(142\) | 2.80945 | + | 0.570179i | 0.235764 | + | 0.0478484i | ||||
\(143\) | −2.09942 | − | 0.332515i | −0.175562 | − | 0.0278063i | ||||
\(144\) | −2.79785 | + | 8.17673i | −0.233155 | + | 0.681394i | ||||
\(145\) | 16.2733 | + | 9.97229i | 1.35142 | + | 0.828153i | ||||
\(146\) | −1.83819 | + | 6.42223i | −0.152130 | + | 0.531507i | ||||
\(147\) | −1.18077 | − | 15.0031i | −0.0973885 | − | 1.23744i | ||||
\(148\) | 6.86532 | + | 1.70469i | 0.564326 | + | 0.140125i | ||||
\(149\) | −11.8134 | − | 13.8318i | −0.967794 | − | 1.13314i | −0.991061 | − | 0.133412i | \(-0.957407\pi\) |
0.0232661 | − | 0.999729i | \(-0.492593\pi\) | |||||||
\(150\) | −32.1406 | + | 29.4800i | −2.62427 | + | 2.40703i | ||||
\(151\) | 4.79935 | + | 7.83183i | 0.390566 | + | 0.637345i | 0.986132 | − | 0.165960i | \(-0.0530724\pi\) |
−0.595567 | + | 0.803306i | \(0.703072\pi\) | |||||||
\(152\) | 0.0287412 | − | 0.0419485i | 0.00233122 | − | 0.00340247i | ||||
\(153\) | 3.75549 | − | 4.39712i | 0.303614 | − | 0.355486i | ||||
\(154\) | 10.7433 | − | 0.380348i | 0.865721 | − | 0.0306494i | ||||
\(155\) | −28.9605 | − | 28.9605i | −2.32616 | − | 2.32616i | ||||
\(156\) | 1.82817 | − | 4.31847i | 0.146371 | − | 0.345754i | ||||
\(157\) | −4.03242 | − | 16.7962i | −0.321822 | − | 1.34049i | −0.865381 | − | 0.501114i | \(-0.832924\pi\) |
0.543559 | − | 0.839371i | \(-0.317076\pi\) | |||||||
\(158\) | −2.96859 | + | 0.339677i | −0.236168 | + | 0.0270233i | ||||
\(159\) | −0.643412 | + | 1.26277i | −0.0510259 | + | 0.100144i | ||||
\(160\) | 21.4991 | − | 11.4978i | 1.69966 | − | 0.908983i | ||||
\(161\) | 6.68478 | − | 16.1385i | 0.526835 | − | 1.27189i | ||||
\(162\) | 7.42057 | + | 13.3719i | 0.583015 | + | 1.05059i | ||||
\(163\) | −2.59627 | −0.203356 | −0.101678 | − | 0.994817i | \(-0.532421\pi\) | ||||
−0.101678 | + | 0.994817i | \(0.532421\pi\) | |||||||
\(164\) | 9.77250 | − | 8.27637i | 0.763104 | − | 0.646276i | ||||
\(165\) | 20.1626 | 1.56966 | ||||||||
\(166\) | −10.2111 | − | 18.4004i | −0.792536 | − | 1.42815i | ||||
\(167\) | 4.97935 | − | 12.0212i | 0.385314 | − | 0.930230i | −0.605605 | − | 0.795766i | \(-0.707069\pi\) |
0.990918 | − | 0.134464i | \(-0.0429313\pi\) | |||||||
\(168\) | −4.89748 | + | 23.2057i | −0.377849 | + | 1.79036i | ||||
\(169\) | 5.41821 | − | 10.6338i | 0.416785 | − | 0.817988i | ||||
\(170\) | −16.2077 | + | 1.85454i | −1.24307 | + | 0.142237i | ||||
\(171\) | 0.00906764 | + | 0.0377694i | 0.000693420 | + | 0.00288830i | ||||
\(172\) | 8.70816 | + | 3.68649i | 0.663991 | + | 0.281093i | ||||
\(173\) | −7.17636 | − | 7.17636i | −0.545608 | − | 0.545608i | 0.379559 | − | 0.925167i | \(-0.376076\pi\) |
−0.925167 | + | 0.379559i | \(0.876076\pi\) | |||||||
\(174\) | 14.2178 | − | 0.503355i | 1.07785 | − | 0.0381593i | ||||
\(175\) | −32.5434 | + | 38.1034i | −2.46005 | + | 2.88035i | ||||
\(176\) | −7.97897 | − | 2.04710i | −0.601437 | − | 0.154306i | ||||
\(177\) | 3.39222 | + | 5.53560i | 0.254975 | + | 0.416081i | ||||
\(178\) | −3.28426 | + | 3.01238i | −0.246166 | + | 0.225788i | ||||
\(179\) | 7.96834 | + | 9.32973i | 0.595582 | + | 0.697337i | 0.973548 | − | 0.228483i | \(-0.0733765\pi\) |
−0.377966 | + | 0.925819i | \(0.623376\pi\) | |||||||
\(180\) | −4.48801 | + | 18.0746i | −0.334517 | + | 1.34720i | ||||
\(181\) | 0.995377 | + | 12.6475i | 0.0739858 | + | 0.940079i | 0.916144 | + | 0.400849i | \(0.131285\pi\) |
−0.842158 | + | 0.539230i | \(0.818715\pi\) | |||||||
\(182\) | 1.48264 | − | 5.18002i | 0.109901 | − | 0.383968i | ||||
\(183\) | −0.389497 | − | 0.238684i | −0.0287925 | − | 0.0176440i | ||||
\(184\) | −8.40857 | + | 10.4145i | −0.619888 | + | 0.767765i | ||||
\(185\) | 15.0561 | + | 2.38465i | 1.10694 | + | 0.175323i | ||||
\(186\) | −29.9192 | − | 6.07211i | −2.19378 | − | 0.445229i | ||||
\(187\) | 4.45911 | + | 3.23973i | 0.326082 | + | 0.236913i | ||||
\(188\) | 0.968390 | + | 0.983543i | 0.0706271 | + | 0.0717323i | ||||
\(189\) | 4.13745 | + | 5.69471i | 0.300955 | + | 0.414229i | ||||
\(190\) | 0.0539138 | − | 0.0953995i | 0.00391132 | − | 0.00692101i | ||||
\(191\) | 4.76911 | − | 1.97543i | 0.345081 | − | 0.142937i | −0.203410 | − | 0.979094i | \(-0.565203\pi\) |
0.548491 | + | 0.836157i | \(0.315203\pi\) | |||||||
\(192\) | 8.62541 | − | 15.9962i | 0.622485 | − | 1.15442i | ||||
\(193\) | −0.784454 | + | 9.96743i | −0.0564662 | + | 0.717471i | 0.901903 | + | 0.431939i | \(0.142170\pi\) |
−0.958369 | + | 0.285532i | \(0.907830\pi\) | |||||||
\(194\) | 1.40731 | − | 3.76955i | 0.101039 | − | 0.270638i | ||||
\(195\) | 3.12283 | − | 9.61107i | 0.223630 | − | 0.688263i | ||||
\(196\) | −1.14206 | + | 13.2004i | −0.0815759 | + | 0.942883i | ||||
\(197\) | 3.54985 | + | 6.96697i | 0.252916 | + | 0.496376i | 0.982201 | − | 0.187835i | \(-0.0601469\pi\) |
−0.729284 | + | 0.684211i | \(0.760147\pi\) | |||||||
\(198\) | 5.24535 | − | 3.47546i | 0.372771 | − | 0.246990i | ||||
\(199\) | 15.1589 | + | 3.63932i | 1.07458 | + | 0.257985i | 0.731863 | − | 0.681452i | \(-0.238651\pi\) |
0.342721 | + | 0.939437i | \(0.388651\pi\) | |||||||
\(200\) | 32.1722 | − | 20.9591i | 2.27492 | − | 1.48203i | ||||
\(201\) | −7.24168 | − | 22.2876i | −0.510788 | − | 1.57205i | ||||
\(202\) | 0.846460 | − | 19.6039i | 0.0595567 | − | 1.37933i | ||||
\(203\) | 16.1446 | − | 2.55705i | 1.13313 | − | 0.179469i | ||||
\(204\) | −9.30766 | + | 7.82535i | −0.651667 | + | 0.547884i | ||||
\(205\) | 19.4436 | − | 19.5841i | 1.35800 | − | 1.36781i | ||||
\(206\) | −1.48747 | − | 4.08067i | −0.103637 | − | 0.284313i | ||||
\(207\) | −1.59947 | − | 10.0987i | −0.111171 | − | 0.701906i | ||||
\(208\) | −2.21161 | + | 3.48634i | −0.153348 | + | 0.241735i | ||||
\(209\) | −0.0352114 | + | 0.0114409i | −0.00243562 | + | 0.000791381i | ||||
\(210\) | −6.20417 | + | 50.7310i | −0.428129 | + | 3.50077i | ||||
\(211\) | −5.98663 | + | 24.9361i | −0.412137 | + | 1.71667i | 0.250835 | + | 0.968030i | \(0.419295\pi\) |
−0.662972 | + | 0.748644i | \(0.730705\pi\) | |||||||
\(212\) | 0.741219 | − | 1.00372i | 0.0509071 | − | 0.0689359i | ||||
\(213\) | 4.10298 | − | 2.09057i | 0.281132 | − | 0.143244i | ||||
\(214\) | −7.19571 | + | 15.4507i | −0.491888 | + | 1.05619i | ||||
\(215\) | 19.3807 | + | 6.29716i | 1.32175 | + | 0.429463i | ||||
\(216\) | −1.80783 | − | 5.08179i | −0.123007 | − | 0.345772i | ||||
\(217\) | −34.9685 | − | 2.75208i | −2.37381 | − | 0.186823i | ||||
\(218\) | −12.5556 | − | 9.97730i | −0.850373 | − | 0.675748i | ||||
\(219\) | 4.10635 | + | 9.91361i | 0.277482 | + | 0.669900i | ||||
\(220\) | −17.5106 | − | 2.91292i | −1.18056 | − | 0.196389i | ||||
\(221\) | 2.23495 | − | 1.62378i | 0.150339 | − | 0.109228i | ||||
\(222\) | 10.3374 | − | 4.71705i | 0.693802 | − | 0.316588i | ||||
\(223\) | 10.7018 | − | 14.7298i | 0.716646 | − | 0.986379i | −0.282982 | − | 0.959125i | \(-0.591324\pi\) |
0.999629 | − | 0.0272536i | \(-0.00867617\pi\) | |||||||
\(224\) | 7.60589 | − | 19.4460i | 0.508190 | − | 1.29929i | ||||
\(225\) | −4.58825 | + | 28.9691i | −0.305883 | + | 1.93127i | ||||
\(226\) | 6.50967 | − | 1.26861i | 0.433017 | − | 0.0843865i | ||||
\(227\) | 6.60481 | − | 10.7781i | 0.438376 | − | 0.715365i | −0.554800 | − | 0.831983i | \(-0.687205\pi\) |
0.993177 | + | 0.116618i | \(0.0372054\pi\) | |||||||
\(228\) | −0.00577635 | − | 0.0814771i | −0.000382548 | − | 0.00539595i | ||||
\(229\) | 21.5728 | − | 1.69781i | 1.42557 | − | 0.112195i | 0.657930 | − | 0.753079i | \(-0.271432\pi\) |
0.767638 | + | 0.640884i | \(0.221432\pi\) | |||||||
\(230\) | −16.1182 | + | 23.9211i | −1.06280 | + | 1.57731i | ||||
\(231\) | 13.1307 | − | 11.2147i | 0.863937 | − | 0.737872i | ||||
\(232\) | −12.4204 | − | 1.61692i | −0.815441 | − | 0.106156i | ||||
\(233\) | 6.67617 | − | 4.09116i | 0.437371 | − | 0.268021i | −0.286335 | − | 0.958129i | \(-0.592437\pi\) |
0.723706 | + | 0.690108i | \(0.242437\pi\) | |||||||
\(234\) | −0.844265 | − | 3.03863i | −0.0551913 | − | 0.198642i | ||||
\(235\) | 2.26177 | + | 1.93173i | 0.147541 | + | 0.126012i | ||||
\(236\) | −2.14630 | − | 5.29758i | −0.139712 | − | 0.344843i | ||||
\(237\) | −3.39384 | + | 3.39384i | −0.220454 | + | 0.220454i | ||||
\(238\) | −9.52358 | + | 10.2227i | −0.617322 | + | 0.662637i | ||||
\(239\) | −21.1671 | + | 5.08178i | −1.36919 | + | 0.328713i | −0.850376 | − | 0.526176i | \(-0.823625\pi\) |
−0.518811 | + | 0.854889i | \(0.673625\pi\) | |||||||
\(240\) | 15.5470 | − | 35.9449i | 1.00355 | − | 2.32023i | ||||
\(241\) | −1.98558 | − | 1.01171i | −0.127903 | − | 0.0651697i | 0.388868 | − | 0.921293i | \(-0.372866\pi\) |
−0.516771 | + | 0.856124i | \(0.672866\pi\) | |||||||
\(242\) | −5.88861 | − | 7.52960i | −0.378534 | − | 0.484021i | ||||
\(243\) | 17.4099 | + | 7.21140i | 1.11684 | + | 0.462612i | ||||
\(244\) | 0.303784 | + | 0.263562i | 0.0194478 | + | 0.0168728i | ||||
\(245\) | 28.5525i | 1.82415i | ||||||||
\(246\) | 4.01891 | − | 20.1746i | 0.256236 | − | 1.28628i | ||||
\(247\) | 0.0185565i | 0.00118072i | ||||||||
\(248\) | 25.1067 | + | 9.59592i | 1.59427 | + | 0.609342i | ||||
\(249\) | −31.2300 | − | 12.9359i | −1.97912 | − | 0.819779i | ||||
\(250\) | 41.1725 | − | 32.1994i | 2.60398 | − | 2.03647i | ||||
\(251\) | −14.4328 | − | 7.35387i | −0.910989 | − | 0.464172i | −0.0653104 | − | 0.997865i | \(-0.520804\pi\) |
−0.845678 | + | 0.533693i | \(0.820804\pi\) | |||||||
\(252\) | 7.13056 | + | 14.2672i | 0.449183 | + | 0.898752i | ||||
\(253\) | 9.47639 | − | 2.27508i | 0.595776 | − | 0.143033i | ||||
\(254\) | 6.26729 | + | 5.83870i | 0.393245 | + | 0.366352i | ||||
\(255\) | −18.5294 | + | 18.5294i | −1.16036 | + | 1.16036i | ||||
\(256\) | −9.80190 | + | 12.6461i | −0.612619 | + | 0.790378i | ||||
\(257\) | −8.49992 | − | 7.25961i | −0.530210 | − | 0.452842i | 0.343595 | − | 0.939118i | \(-0.388355\pi\) |
−0.873806 | + | 0.486275i | \(0.838355\pi\) | |||||||
\(258\) | 14.6355 | − | 4.06638i | 0.911167 | − | 0.253162i | ||||
\(259\) | 11.1315 | − | 6.82139i | 0.691678 | − | 0.423861i | ||||
\(260\) | −4.10061 | + | 7.89577i | −0.254309 | + | 0.489675i | ||||
\(261\) | 7.27525 | − | 6.21365i | 0.450327 | − | 0.384616i | ||||
\(262\) | −15.2825 | − | 10.2974i | −0.944154 | − | 0.636178i | ||||
\(263\) | −12.1068 | + | 0.952827i | −0.746538 | + | 0.0587538i | −0.446021 | − | 0.895023i | \(-0.647159\pi\) |
−0.300517 | + | 0.953776i | \(0.597159\pi\) | |||||||
\(264\) | −12.0801 | + | 5.39937i | −0.743482 | + | 0.332308i | ||||
\(265\) | 1.40491 | − | 2.29261i | 0.0863031 | − | 0.140834i | ||||
\(266\) | −0.0179515 | − | 0.0921156i | −0.00110068 | − | 0.00564797i | ||||
\(267\) | −1.11986 | + | 7.07051i | −0.0685343 | + | 0.432708i | ||||
\(268\) | 3.06925 | + | 20.4023i | 0.187485 | + | 1.24627i | ||||
\(269\) | −9.90223 | + | 13.6293i | −0.603750 | + | 0.830990i | −0.996045 | − | 0.0888492i | \(-0.971681\pi\) |
0.392295 | + | 0.919839i | \(0.371681\pi\) | |||||||
\(270\) | −4.82523 | − | 10.5745i | −0.293654 | − | 0.643543i | ||||
\(271\) | 22.1685 | − | 16.1064i | 1.34664 | − | 0.978394i | 0.347472 | − | 0.937690i | \(-0.387040\pi\) |
0.999171 | − | 0.0407033i | \(-0.0129598\pi\) | |||||||
\(272\) | 9.21397 | − | 5.45139i | 0.558679 | − | 0.330539i | ||||
\(273\) | −3.31209 | − | 7.99609i | −0.200457 | − | 0.483945i | ||||
\(274\) | 1.61693 | − | 2.03478i | 0.0976825 | − | 0.122925i | ||||
\(275\) | −27.8703 | − | 2.19344i | −1.68064 | − | 0.132269i | ||||
\(276\) | −0.166907 | + | 21.5004i | −0.0100466 | + | 1.29417i | ||||
\(277\) | −26.0020 | − | 8.44858i | −1.56231 | − | 0.507626i | −0.604887 | − | 0.796311i | \(-0.706782\pi\) |
−0.957424 | + | 0.288685i | \(0.906782\pi\) | |||||||
\(278\) | 7.20765 | + | 3.35676i | 0.432286 | + | 0.201325i | ||||
\(279\) | −18.2934 | + | 9.32096i | −1.09520 | + | 0.558031i | ||||
\(280\) | 12.7173 | − | 43.1621i | 0.760006 | − | 2.57943i | ||||
\(281\) | −6.04359 | + | 25.1734i | −0.360530 | + | 1.50172i | 0.437566 | + | 0.899186i | \(0.355841\pi\) |
−0.798096 | + | 0.602530i | \(0.794159\pi\) | |||||||
\(282\) | 2.20076 | + | 0.269142i | 0.131053 | + | 0.0160272i | ||||
\(283\) | 17.7644 | − | 5.77200i | 1.05598 | − | 0.343110i | 0.270970 | − | 0.962588i | \(-0.412656\pi\) |
0.785014 | + | 0.619478i | \(0.212656\pi\) | |||||||
\(284\) | −3.86534 | + | 1.22284i | −0.229366 | + | 0.0725619i | ||||
\(285\) | −0.0275357 | − | 0.173853i | −0.00163107 | − | 0.0102982i | ||||
\(286\) | 2.82425 | − | 1.02948i | 0.167001 | − | 0.0608747i | ||||
\(287\) | 1.76960 | − | 23.5688i | 0.104456 | − | 1.39122i | ||||
\(288\) | −2.15130 | − | 12.0310i | −0.126766 | − | 0.708935i | ||||
\(289\) | 9.71546 | − | 1.53878i | 0.571498 | − | 0.0905164i | ||||
\(290\) | −26.9662 | − | 1.16435i | −1.58351 | − | 0.0683730i | ||||
\(291\) | −1.99728 | − | 6.14699i | −0.117083 | − | 0.360343i | ||||
\(292\) | −2.13401 | − | 9.20293i | −0.124883 | − | 0.538561i | ||||
\(293\) | 17.7956 | + | 4.27234i | 1.03963 | + | 0.249593i | 0.717102 | − | 0.696968i | \(-0.245468\pi\) |
0.322526 | + | 0.946561i | \(0.395468\pi\) | |||||||
\(294\) | 11.7556 | + | 17.7421i | 0.685598 | + | 1.03474i | ||||
\(295\) | −5.59200 | − | 10.9749i | −0.325579 | − | 0.638984i | ||||
\(296\) | −9.65923 | + | 2.60315i | −0.561431 | + | 0.151305i | ||||
\(297\) | −1.21356 | + | 3.73494i | −0.0704177 | + | 0.216723i | ||||
\(298\) | 24.0998 | + | 8.99729i | 1.39606 | + | 0.521199i | ||||
\(299\) | 0.383243 | − | 4.86956i | 0.0221635 | − | 0.281614i | ||||
\(300\) | 19.5143 | − | 58.5095i | 1.12666 | − | 3.37805i | ||||
\(301\) | 16.1240 | − | 6.67880i | 0.929375 | − | 0.384960i | ||||
\(302\) | −11.3091 | − | 6.39118i | −0.650765 | − | 0.367771i | ||||
\(303\) | −18.5267 | − | 25.4998i | −1.06433 | − | 1.46493i | ||||
\(304\) | −0.00675455 | + | 0.0715950i | −0.000387400 | + | 0.00410625i | ||||
\(305\) | 0.701161 | + | 0.509423i | 0.0401484 | + | 0.0291695i | ||||
\(306\) | −1.62653 | + | 8.01444i | −0.0929827 | + | 0.458155i | ||||
\(307\) | −14.9585 | − | 2.36919i | −0.853726 | − | 0.135217i | −0.285793 | − | 0.958291i | \(-0.592257\pi\) |
−0.567933 | + | 0.823075i | \(0.692257\pi\) | |||||||
\(308\) | −13.0238 | + | 7.84261i | −0.742102 | + | 0.446874i | ||||
\(309\) | −5.94867 | − | 3.64535i | −0.338408 | − | 0.207377i | ||||
\(310\) | 55.6849 | + | 15.9384i | 3.16269 | + | 0.905238i | ||||
\(311\) | 2.44109 | + | 31.0170i | 0.138422 | + | 1.75881i | 0.538773 | + | 0.842451i | \(0.318888\pi\) |
−0.400351 | + | 0.916362i | \(0.631112\pi\) | |||||||
\(312\) | 0.702763 | + | 6.59461i | 0.0397861 | + | 0.373347i | ||||
\(313\) | −3.67861 | − | 4.30710i | −0.207928 | − | 0.243452i | 0.646636 | − | 0.762799i | \(-0.276175\pi\) |
−0.854564 | + | 0.519347i | \(0.826175\pi\) | |||||||
\(314\) | 16.5123 | + | 18.0026i | 0.931842 | + | 1.01594i | ||||
\(315\) | 17.9590 | + | 29.3064i | 1.01187 | + | 1.65123i | ||||
\(316\) | 3.43777 | − | 2.45714i | 0.193390 | − | 0.138225i | ||||
\(317\) | 4.23405 | − | 4.95743i | 0.237808 | − | 0.278437i | −0.628649 | − | 0.777689i | \(-0.716392\pi\) |
0.866457 | + | 0.499252i | \(0.166392\pi\) | |||||||
\(318\) | −0.0709135 | − | 2.00302i | −0.00397663 | − | 0.112324i | ||||
\(319\) | 6.44845 | + | 6.44845i | 0.361044 | + | 0.361044i | ||||
\(320\) | −18.6951 | + | 28.9710i | −1.04509 | + | 1.61953i | ||||
\(321\) | 6.39134 | + | 26.6219i | 0.356730 | + | 1.48589i | ||||
\(322\) | 2.80837 | + | 24.5436i | 0.156504 | + | 1.36776i | ||||
\(323\) | 0.0218451 | − | 0.0428734i | 0.00121549 | − | 0.00238554i | ||||
\(324\) | −18.3521 | − | 11.4431i | −1.01956 | − | 0.635727i | ||||
\(325\) | −5.36218 | + | 12.9454i | −0.297440 | + | 0.718084i | ||||
\(326\) | 3.21047 | − | 1.78161i | 0.177811 | − | 0.0986744i | ||||
\(327\) | −25.7608 | −1.42458 | ||||||||
\(328\) | −6.40495 | + | 16.9404i | −0.353654 | + | 0.935376i | ||||
\(329\) | 2.54741 | 0.140443 | ||||||||
\(330\) | −24.9324 | + | 13.8360i | −1.37248 | + | 0.761645i | ||||
\(331\) | −0.0384810 | + | 0.0929014i | −0.00211511 | + | 0.00510633i | −0.924934 | − | 0.380129i | \(-0.875880\pi\) |
0.922818 | + | 0.385235i | \(0.125880\pi\) | |||||||
\(332\) | 25.2535 | + | 15.7463i | 1.38596 | + | 0.864191i | ||||
\(333\) | 3.46921 | − | 6.80872i | 0.190112 | − | 0.373115i | ||||
\(334\) | 2.09189 | + | 18.2820i | 0.114463 | + | 1.00035i | ||||
\(335\) | 10.3792 | + | 43.2324i | 0.567076 | + | 2.36204i | ||||
\(336\) | −9.86819 | − | 32.0562i | −0.538354 | − | 1.74881i | ||||
\(337\) | 2.95470 | + | 2.95470i | 0.160953 | + | 0.160953i | 0.782989 | − | 0.622036i | \(-0.213694\pi\) |
−0.622036 | + | 0.782989i | \(0.713694\pi\) | |||||||
\(338\) | 0.597167 | + | 16.8676i | 0.0324816 | + | 0.917474i | ||||
\(339\) | 6.91879 | − | 8.10086i | 0.375777 | − | 0.439979i | ||||
\(340\) | 18.7692 | − | 13.4153i | 1.01791 | − | 0.727546i | ||||
\(341\) | −10.2251 | − | 16.6858i | −0.553719 | − | 0.903587i | ||||
\(342\) | −0.0371309 | − | 0.0404821i | −0.00200781 | − | 0.00218902i | ||||
\(343\) | −0.899350 | − | 1.05300i | −0.0485603 | − | 0.0568568i | ||||
\(344\) | −13.2980 | + | 1.41712i | −0.716979 | + | 0.0764057i | ||||
\(345\) | 3.63531 | + | 46.1910i | 0.195719 | + | 2.48684i | ||||
\(346\) | 13.7986 | + | 3.94950i | 0.741818 | + | 0.212326i | ||||
\(347\) | 9.42708 | + | 5.77692i | 0.506072 | + | 0.310121i | 0.751996 | − | 0.659168i | \(-0.229091\pi\) |
−0.245924 | + | 0.969289i | \(0.579091\pi\) | |||||||
\(348\) | −17.2358 | + | 10.3789i | −0.923937 | + | 0.556370i | ||||
\(349\) | −2.82487 | − | 0.447415i | −0.151212 | − | 0.0239496i | 0.0803696 | − | 0.996765i | \(-0.474390\pi\) |
−0.231581 | + | 0.972816i | \(0.574390\pi\) | |||||||
\(350\) | 14.0948 | − | 69.4494i | 0.753398 | − | 3.71223i | ||||
\(351\) | 1.59241 | + | 1.15695i | 0.0849965 | + | 0.0617536i | ||||
\(352\) | 11.2713 | − | 2.94395i | 0.600762 | − | 0.156913i | ||||
\(353\) | 12.1777 | + | 16.7612i | 0.648154 | + | 0.892108i | 0.999017 | − | 0.0443190i | \(-0.0141118\pi\) |
−0.350863 | + | 0.936427i | \(0.614112\pi\) | |||||||
\(354\) | −7.99335 | − | 4.51734i | −0.424842 | − | 0.240094i | ||||
\(355\) | −8.07152 | + | 3.34333i | −0.428392 | + | 0.177446i | ||||
\(356\) | 1.99405 | − | 5.97874i | 0.105685 | − | 0.316873i | ||||
\(357\) | −1.76083 | + | 22.3735i | −0.0931929 | + | 1.18413i | ||||
\(358\) | −16.2556 | − | 6.06881i | −0.859138 | − | 0.320747i | ||||
\(359\) | −0.367344 | + | 1.13057i | −0.0193877 | + | 0.0596691i | −0.960282 | − | 0.279030i | \(-0.909987\pi\) |
0.940895 | + | 0.338699i | \(0.109987\pi\) | |||||||
\(360\) | −6.85345 | − | 25.4303i | −0.361208 | − | 1.34029i | ||||
\(361\) | −8.62567 | − | 16.9288i | −0.453983 | − | 0.890991i | ||||
\(362\) | −9.90980 | − | 14.9564i | −0.520848 | − | 0.786091i | ||||
\(363\) | −14.9303 | − | 3.58444i | −0.783635 | − | 0.188134i | ||||
\(364\) | 1.72124 | + | 7.42287i | 0.0902176 | + | 0.389064i | ||||
\(365\) | −6.29101 | − | 19.3617i | −0.329287 | − | 1.01344i | ||||
\(366\) | 0.645430 | + | 0.0278685i | 0.0337372 | + | 0.00145671i | ||||
\(367\) | −19.4772 | + | 3.08489i | −1.01670 | + | 0.161030i | −0.642475 | − | 0.766306i | \(-0.722092\pi\) |
−0.374229 | + | 0.927336i | \(0.622092\pi\) | |||||||
\(368\) | 3.25115 | − | 18.6483i | 0.169478 | − | 0.972112i | ||||
\(369\) | −6.32491 | − | 12.3037i | −0.329262 | − | 0.640504i | ||||
\(370\) | −20.2542 | + | 7.38300i | −1.05297 | + | 0.383824i | ||||
\(371\) | −0.360241 | − | 2.27447i | −0.0187028 | − | 0.118085i | ||||
\(372\) | 41.1639 | − | 13.0226i | 2.13425 | − | 0.675188i | ||||
\(373\) | −20.4999 | + | 6.66083i | −1.06145 | + | 0.344885i | −0.787151 | − | 0.616761i | \(-0.788445\pi\) |
−0.274295 | + | 0.961646i | \(0.588445\pi\) | |||||||
\(374\) | −7.73716 | − | 0.946219i | −0.400079 | − | 0.0489278i | ||||
\(375\) | 19.6000 | − | 81.6399i | 1.01214 | − | 4.21587i | ||||
\(376\) | −1.87241 | − | 0.551689i | −0.0965621 | − | 0.0284512i | ||||
\(377\) | 4.07259 | − | 2.07509i | 0.209749 | − | 0.106872i | ||||
\(378\) | −9.02406 | − | 4.20269i | −0.464148 | − | 0.216163i | ||||
\(379\) | −36.2712 | − | 11.7852i | −1.86313 | − | 0.605367i | −0.993807 | − | 0.111117i | \(-0.964557\pi\) |
−0.869320 | − | 0.494250i | \(-0.835443\pi\) | |||||||
\(380\) | −0.00120299 | + | 0.154965i | −6.17120e−5 | + | 0.00794952i | ||||
\(381\) | 13.7167 | + | 1.07953i | 0.702726 | + | 0.0553058i | ||||
\(382\) | −4.54175 | + | 5.71541i | −0.232376 | + | 0.292426i | ||||
\(383\) | −7.78364 | − | 18.7914i | −0.397725 | − | 0.960194i | −0.988204 | − | 0.153141i | \(-0.951061\pi\) |
0.590479 | − | 0.807053i | \(-0.298939\pi\) | |||||||
\(384\) | 0.310977 | + | 25.6993i | 0.0158695 | + | 1.31146i | ||||
\(385\) | −26.5046 | + | 19.2568i | −1.35080 | + | 0.981415i | ||||
\(386\) | −5.86982 | − | 12.8637i | −0.298766 | − | 0.654746i | ||||
\(387\) | 6.00446 | − | 8.26443i | 0.305224 | − | 0.420104i | ||||
\(388\) | 0.846510 | + | 5.62703i | 0.0429751 | + | 0.285669i | ||||
\(389\) | −1.98100 | + | 12.5075i | −0.100441 | + | 0.634157i | 0.885189 | + | 0.465232i | \(0.154029\pi\) |
−0.985629 | + | 0.168924i | \(0.945971\pi\) | |||||||
\(390\) | 2.73372 | + | 14.0277i | 0.138428 | + | 0.710320i | ||||
\(391\) | −6.61801 | + | 10.7996i | −0.334687 | + | 0.546160i | ||||
\(392\) | −7.64612 | − | 17.1069i | −0.386187 | − | 0.864027i | ||||
\(393\) | −29.5100 | + | 2.32249i | −1.48858 | + | 0.117154i | ||||
\(394\) | −9.17051 | − | 6.17916i | −0.462004 | − | 0.311302i | ||||
\(395\) | 6.92427 | − | 5.91389i | 0.348398 | − | 0.297560i | ||||
\(396\) | −4.10131 | + | 7.89711i | −0.206098 | + | 0.396845i | ||||
\(397\) | 32.5139 | − | 19.9245i | 1.63183 | − | 0.999984i | 0.664214 | − | 0.747542i | \(-0.268766\pi\) |
0.967612 | − | 0.252442i | \(-0.0812338\pi\) | |||||||
\(398\) | −21.2424 | + | 5.90205i | −1.06478 | + | 0.295843i | ||||
\(399\) | −0.114632 | − | 0.0979049i | −0.00573877 | − | 0.00490138i | ||||
\(400\) | −25.4006 | + | 47.9945i | −1.27003 | + | 2.39973i | ||||
\(401\) | −10.5966 | + | 10.5966i | −0.529168 | + | 0.529168i | −0.920324 | − | 0.391156i | \(-0.872075\pi\) |
0.391156 | + | 0.920324i | \(0.372075\pi\) | |||||||
\(402\) | 24.2490 | + | 22.5907i | 1.20943 | + | 1.12672i | ||||
\(403\) | −9.53745 | + | 2.28974i | −0.475094 | + | 0.114060i | ||||
\(404\) | 12.4059 | + | 24.8224i | 0.617216 | + | 1.23496i | ||||
\(405\) | −41.5264 | − | 21.1587i | −2.06346 | − | 1.05139i | ||||
\(406\) | −18.2092 | + | 14.2407i | −0.903705 | + | 0.706753i | ||||
\(407\) | 6.72926 | + | 2.78735i | 0.333557 | + | 0.138164i | ||||
\(408\) | 6.13964 | − | 16.0637i | 0.303958 | − | 0.795271i | ||||
\(409\) | 16.6196i | 0.821786i | 0.911683 | + | 0.410893i | \(0.134783\pi\) | ||||
−0.911683 | + | 0.410893i | \(0.865217\pi\) | |||||||
\(410\) | −10.6044 | + | 37.5597i | −0.523714 | + | 1.85494i | ||||
\(411\) | − | 4.17483i | − | 0.205929i | ||||||
\(412\) | 4.63959 | + | 4.02529i | 0.228576 | + | 0.198312i | ||||
\(413\) | −9.74613 | − | 4.03698i | −0.479576 | − | 0.198647i | ||||
\(414\) | 8.90777 | + | 11.3901i | 0.437793 | + | 0.559793i | ||||
\(415\) | 57.1425 | + | 29.1156i | 2.80502 | + | 1.42923i | ||||
\(416\) | 0.342407 | − | 5.82876i | 0.0167879 | − | 0.285778i | ||||
\(417\) | 12.4189 | − | 2.98152i | 0.608158 | − | 0.146006i | ||||
\(418\) | 0.0356903 | − | 0.0383102i | 0.00174567 | − | 0.00187381i | ||||
\(419\) | 6.18450 | − | 6.18450i | 0.302132 | − | 0.302132i | −0.539715 | − | 0.841848i | \(-0.681468\pi\) |
0.841848 | + | 0.539715i | \(0.181468\pi\) | |||||||
\(420\) | −27.1408 | − | 66.9898i | −1.32433 | − | 3.26877i | ||||
\(421\) | 0.481574 | + | 0.411303i | 0.0234705 | + | 0.0200457i | 0.661106 | − | 0.750293i | \(-0.270087\pi\) |
−0.637635 | + | 0.770338i | \(0.720087\pi\) | |||||||
\(422\) | −9.70879 | − | 34.9434i | −0.472617 | − | 1.70102i | ||||
\(423\) | 1.27134 | − | 0.779077i | 0.0618146 | − | 0.0378800i | ||||
\(424\) | −0.227794 | + | 1.74981i | −0.0110626 | + | 0.0849783i | ||||
\(425\) | 27.6286 | − | 23.5971i | 1.34018 | − | 1.14463i | ||||
\(426\) | −3.63902 | + | 5.40068i | −0.176311 | + | 0.261664i | ||||
\(427\) | 0.739973 | − | 0.0582371i | 0.0358098 | − | 0.00281829i | ||||
\(428\) | −1.70459 | − | 24.0437i | −0.0823943 | − | 1.16219i | ||||
\(429\) | 2.52296 | − | 4.11710i | 0.121810 | − | 0.198776i | ||||
\(430\) | −28.2867 | + | 5.51253i | −1.36411 | + | 0.265838i | ||||
\(431\) | −2.67940 | + | 16.9171i | −0.129062 | + | 0.814868i | 0.835205 | + | 0.549938i | \(0.185349\pi\) |
−0.964268 | + | 0.264930i | \(0.914651\pi\) | |||||||
\(432\) | 5.72273 | + | 5.04341i | 0.275335 | + | 0.242651i | ||||
\(433\) | 13.8259 | − | 19.0297i | 0.664429 | − | 0.914508i | −0.335189 | − | 0.942151i | \(-0.608800\pi\) |
0.999618 | + | 0.0276428i | \(0.00880009\pi\) | |||||||
\(434\) | 45.1294 | − | 20.5929i | 2.16628 | − | 0.988493i | ||||
\(435\) | −35.0764 | + | 25.4845i | −1.68178 | + | 1.22189i | ||||
\(436\) | 22.3725 | + | 3.72171i | 1.07145 | + | 0.178237i | ||||
\(437\) | −0.0325588 | − | 0.0786039i | −0.00155750 | − | 0.00376013i | ||||
\(438\) | −11.8807 | − | 9.44100i | −0.567682 | − | 0.451108i | ||||
\(439\) | −6.02938 | − | 0.474523i | −0.287767 | − | 0.0226477i | −0.0662458 | − | 0.997803i | \(-0.521102\pi\) |
−0.221521 | + | 0.975156i | \(0.571102\pi\) | |||||||
\(440\) | 23.6520 | − | 8.41410i | 1.12756 | − | 0.401127i | ||||
\(441\) | 13.6127 | + | 4.42303i | 0.648223 | + | 0.210620i | ||||
\(442\) | −1.64939 | + | 3.54159i | −0.0784535 | + | 0.168456i | ||||
\(443\) | 4.92060 | − | 2.50717i | 0.233785 | − | 0.119119i | −0.333174 | − | 0.942865i | \(-0.608120\pi\) |
0.566959 | + | 0.823746i | \(0.308120\pi\) | |||||||
\(444\) | −9.54599 | + | 12.9267i | −0.453033 | + | 0.613474i | ||||
\(445\) | 3.17057 | − | 13.2064i | 0.150300 | − | 0.626043i | ||||
\(446\) | −3.12565 | + | 25.5582i | −0.148004 | + | 1.21021i | ||||
\(447\) | 39.2994 | − | 12.7691i | 1.85880 | − | 0.603960i | ||||
\(448\) | 3.93901 | + | 29.2656i | 0.186101 | + | 1.38267i | ||||
\(449\) | −0.894540 | − | 5.64791i | −0.0422160 | − | 0.266541i | 0.957548 | − | 0.288274i | \(-0.0930815\pi\) |
−0.999764 | + | 0.0217333i | \(0.993082\pi\) | |||||||
\(450\) | −14.2055 | − | 38.9708i | −0.669653 | − | 1.83710i | ||||
\(451\) | 11.2183 | − | 6.93021i | 0.528248 | − | 0.326331i | ||||
\(452\) | −7.17911 | + | 6.03579i | −0.337677 | + | 0.283900i | ||||
\(453\) | −20.6094 | + | 3.26421i | −0.968313 | + | 0.153366i | ||||
\(454\) | −0.771168 | + | 17.8602i | −0.0361927 | + | 0.838219i | ||||
\(455\) | 5.07418 | + | 15.6167i | 0.237881 | + | 0.732124i | ||||
\(456\) | 0.0630541 | + | 0.0967882i | 0.00295278 | + | 0.00453252i | ||||
\(457\) | −23.9165 | − | 5.74184i | −1.11877 | − | 0.268592i | −0.368434 | − | 0.929654i | \(-0.620106\pi\) |
−0.750331 | + | 0.661062i | \(0.770106\pi\) | |||||||
\(458\) | −25.5111 | + | 16.9031i | −1.19206 | + | 0.789831i | ||||
\(459\) | −2.31716 | − | 4.54768i | −0.108156 | − | 0.212267i | ||||
\(460\) | 3.51614 | − | 40.6408i | 0.163941 | − | 1.89488i | ||||
\(461\) | 6.26359 | − | 19.2773i | 0.291724 | − | 0.897835i | −0.692578 | − | 0.721343i | \(-0.743525\pi\) |
0.984302 | − | 0.176492i | \(-0.0564750\pi\) | |||||||
\(462\) | −8.54128 | + | 22.8783i | −0.397376 | + | 1.06439i | ||||
\(463\) | −0.163110 | + | 2.07251i | −0.00758036 | + | 0.0963176i | −0.999544 | − | 0.0302087i | \(-0.990383\pi\) |
0.991963 | + | 0.126526i | \(0.0403828\pi\) | |||||||
\(464\) | 16.4683 | − | 6.52372i | 0.764520 | − | 0.302856i | ||||
\(465\) | 85.9575 | − | 35.6048i | 3.98618 | − | 1.65113i | ||||
\(466\) | −5.44811 | + | 9.64033i | −0.252379 | + | 0.446580i | ||||
\(467\) | 11.4598 | + | 15.7730i | 0.530295 | + | 0.729889i | 0.987175 | − | 0.159639i | \(-0.0510332\pi\) |
−0.456880 | + | 0.889528i | \(0.651033\pi\) | |||||||
\(468\) | 3.12916 | + | 3.17813i | 0.144646 | + | 0.146909i | ||||
\(469\) | 30.8058 | + | 22.3817i | 1.42248 | + | 1.03349i | ||||
\(470\) | −4.12242 | − | 0.836648i | −0.190153 | − | 0.0385917i | ||||
\(471\) | 38.7568 | + | 6.13847i | 1.78582 | + | 0.282846i | ||||
\(472\) | 6.28936 | + | 5.07798i | 0.289491 | + | 0.233733i | ||||
\(473\) | 8.30211 | + | 5.08754i | 0.381731 | + | 0.233925i | ||||
\(474\) | 1.86780 | − | 6.52565i | 0.0857907 | − | 0.299733i | ||||
\(475\) | 0.0191489 | + | 0.243309i | 0.000878610 | + | 0.0111638i | ||||
\(476\) | 4.76156 | − | 19.1763i | 0.218246 | − | 0.878944i | ||||
\(477\) | −0.875390 | − | 1.02495i | −0.0400814 | − | 0.0469292i | ||||
\(478\) | 22.6874 | − | 20.8093i | 1.03770 | − | 0.951794i | ||||
\(479\) | −2.86815 | − | 4.68039i | −0.131049 | − | 0.213852i | 0.780385 | − | 0.625300i | \(-0.215023\pi\) |
−0.911433 | + | 0.411447i | \(0.865023\pi\) | |||||||
\(480\) | 5.44123 | + | 55.1170i | 0.248357 | + | 2.51574i | ||||
\(481\) | 2.37091 | − | 2.77598i | 0.108104 | − | 0.126574i | ||||
\(482\) | 3.14956 | − | 0.111505i | 0.143459 | − | 0.00507891i | ||||
\(483\) | 28.0595 | + | 28.0595i | 1.27675 | + | 1.27675i | ||||
\(484\) | 12.4486 | + | 5.26998i | 0.565847 | + | 0.239544i | ||||
\(485\) | 2.86262 | + | 11.9237i | 0.129985 | + | 0.541425i | ||||
\(486\) | −26.4771 | + | 3.02961i | −1.20103 | + | 0.137426i | ||||
\(487\) | −11.9778 | + | 23.5078i | −0.542767 | + | 1.06524i | 0.442905 | + | 0.896569i | \(0.353948\pi\) |
−0.985672 | + | 0.168672i | \(0.946052\pi\) | |||||||
\(488\) | −0.556511 | − | 0.117449i | −0.0251921 | − | 0.00531668i | ||||
\(489\) | 2.25703 | − | 5.44895i | 0.102066 | − | 0.246410i | ||||
\(490\) | −19.5933 | − | 35.3071i | −0.885136 | − | 1.59501i | ||||
\(491\) | −27.9739 | −1.26244 | −0.631222 | − | 0.775602i | \(-0.717446\pi\) | ||||
−0.631222 | + | 0.775602i | \(0.717446\pi\) | |||||||
\(492\) | 8.87453 | + | 27.7051i | 0.400095 | + | 1.24904i | ||||
\(493\) | −11.8523 | −0.533799 | ||||||||
\(494\) | −0.0127338 | − | 0.0229464i | −0.000572923 | − | 0.00103241i | ||||
\(495\) | −7.33838 | + | 17.7164i | −0.329836 | + | 0.796294i | ||||
\(496\) | −37.6310 | + | 5.36269i | −1.68968 | + | 0.240792i | ||||
\(497\) | −3.39690 | + | 6.66680i | −0.152372 | + | 0.299047i | ||||
\(498\) | 47.4949 | − | 5.43455i | 2.12830 | − | 0.243528i | ||||
\(499\) | −5.06177 | − | 21.0838i | −0.226596 | − | 0.943839i | −0.963471 | − | 0.267811i | \(-0.913700\pi\) |
0.736876 | − | 0.676028i | \(-0.236300\pi\) | |||||||
\(500\) | −28.8167 | + | 68.0702i | −1.28872 | + | 3.04419i | ||||
\(501\) | 20.9009 | + | 20.9009i | 0.933785 | + | 0.933785i | ||||
\(502\) | 22.8935 | − | 0.810504i | 1.02179 | − | 0.0361746i | ||||
\(503\) | 9.01031 | − | 10.5497i | 0.401750 | − | 0.470389i | −0.522244 | − | 0.852796i | \(-0.674905\pi\) |
0.923994 | + | 0.382408i | \(0.124905\pi\) | |||||||
\(504\) | −18.6079 | − | 12.7493i | −0.828862 | − | 0.567898i | ||||
\(505\) | 31.2454 | + | 50.9879i | 1.39040 | + | 2.26893i | ||||
\(506\) | −10.1570 | + | 9.31619i | −0.451534 | + | 0.414155i | ||||
\(507\) | 17.6076 | + | 20.6159i | 0.781983 | + | 0.915584i | ||||
\(508\) | −11.7566 | − | 2.91921i | −0.521613 | − | 0.129519i | ||||
\(509\) | −3.06441 | − | 38.9371i | −0.135828 | − | 1.72586i | −0.567113 | − | 0.823640i | \(-0.691940\pi\) |
0.431285 | − | 0.902216i | \(-0.358060\pi\) | |||||||
\(510\) | 10.1976 | − | 35.6282i | 0.451559 | − | 1.57764i | ||||
\(511\) | −14.8662 | − | 9.11003i | −0.657643 | − | 0.403004i | ||||
\(512\) | 3.44274 | − | 22.3640i | 0.152149 | − | 0.988358i | ||||
\(513\) | 0.0338622 | + | 0.00536324i | 0.00149505 | + | 0.000236793i | ||||
\(514\) | 15.4924 | + | 3.14420i | 0.683342 | + | 0.138685i | ||||
\(515\) | 10.7086 | + | 7.78026i | 0.471878 | + | 0.342839i | ||||
\(516\) | −15.3074 | + | 15.0715i | −0.673870 | + | 0.663488i | ||||
\(517\) | 0.835375 | + | 1.14979i | 0.0367397 | + | 0.0505679i | ||||
\(518\) | −9.08389 | + | 16.0738i | −0.399123 | + | 0.706241i | ||||
\(519\) | 21.3001 | − | 8.82280i | 0.934971 | − | 0.387278i | ||||
\(520\) | −0.347553 | − | 12.5776i | −0.0152412 | − | 0.551564i | ||||
\(521\) | 2.64879 | − | 33.6561i | 0.116046 | − | 1.47450i | −0.613026 | − | 0.790063i | \(-0.710048\pi\) |
0.729072 | − | 0.684437i | \(-0.239952\pi\) | |||||||
\(522\) | −4.73241 | + | 12.6760i | −0.207132 | + | 0.554815i | ||||
\(523\) | −5.22103 | + | 16.0687i | −0.228300 | + | 0.702634i | 0.769640 | + | 0.638478i | \(0.220436\pi\) |
−0.997940 | + | 0.0641564i | \(0.979564\pi\) | |||||||
\(524\) | 25.9641 | + | 2.24635i | 1.13425 | + | 0.0981324i | ||||
\(525\) | −51.6788 | − | 101.425i | −2.25545 | − | 4.42657i | ||||
\(526\) | 14.3171 | − | 9.48618i | 0.624253 | − | 0.413617i | ||||
\(527\) | 24.7311 | + | 5.93742i | 1.07730 | + | 0.258638i | ||||
\(528\) | 11.2328 | − | 14.9663i | 0.488844 | − | 0.651326i | ||||
\(529\) | −0.186750 | − | 0.574758i | −0.00811957 | − | 0.0249895i | ||||
\(530\) | −0.164036 | + | 3.79905i | −0.00712526 | + | 0.165020i | ||||
\(531\) | −6.09864 | + | 0.965930i | −0.264659 | + | 0.0419178i | ||||
\(532\) | 0.0854099 | + | 0.101589i | 0.00370299 | + | 0.00440442i | ||||
\(533\) | −1.56597 | − | 6.42088i | −0.0678298 | − | 0.278119i | ||||
\(534\) | −3.46715 | − | 9.51164i | −0.150038 | − | 0.411609i | ||||
\(535\) | −8.12570 | − | 51.3037i | −0.351305 | − | 2.21805i | ||||
\(536\) | −17.7958 | − | 23.1227i | −0.768663 | − | 0.998748i | ||||
\(537\) | −26.5080 | + | 8.61298i | −1.14391 | + | 0.371677i | ||||
\(538\) | 2.89212 | − | 23.6486i | 0.124688 | − | 1.01956i | ||||
\(539\) | −3.18486 | + | 13.2659i | −0.137182 | + | 0.571402i | ||||
\(540\) | 13.2232 | + | 9.76491i | 0.569034 | + | 0.420215i | ||||
\(541\) | 11.0564 | − | 5.63350i | 0.475351 | − | 0.242203i | −0.199865 | − | 0.979823i | \(-0.564050\pi\) |
0.675216 | + | 0.737620i | \(0.264050\pi\) | |||||||
\(542\) | −16.3604 | + | 35.1292i | −0.702739 | + | 1.50893i | ||||
\(543\) | −27.4093 | − | 8.90583i | −1.17625 | − | 0.382186i | ||||
\(544\) | −7.65285 | + | 13.0638i | −0.328113 | + | 0.560107i | ||||
\(545\) | 48.7237 | + | 3.83464i | 2.08709 | + | 0.164258i | ||||
\(546\) | 9.58270 | + | 7.61489i | 0.410102 | + | 0.325887i | ||||
\(547\) | 3.31752 | + | 8.00921i | 0.141847 | + | 0.342449i | 0.978798 | − | 0.204829i | \(-0.0656639\pi\) |
−0.836951 | + | 0.547278i | \(0.815664\pi\) | |||||||
\(548\) | −0.603144 | + | 3.62571i | −0.0257651 | + | 0.154883i | ||||
\(549\) | 0.351488 | − | 0.255371i | 0.0150012 | − | 0.0108990i | ||||
\(550\) | 35.9687 | − | 16.4128i | 1.53371 | − | 0.699845i | ||||
\(551\) | 0.0467957 | − | 0.0644088i | 0.00199356 | − | 0.00274391i | ||||
\(552\) | −14.5476 | − | 26.7012i | −0.619188 | − | 1.13648i | ||||
\(553\) | 1.21999 | − | 7.70274i | 0.0518794 | − | 0.327554i | ||||
\(554\) | 37.9509 | − | 7.39589i | 1.61238 | − | 0.314221i | ||||
\(555\) | −18.0936 | + | 29.5260i | −0.768029 | + | 1.25331i | ||||
\(556\) | −11.2162 | + | 0.795179i | −0.475674 | + | 0.0337231i | ||||
\(557\) | −29.4053 | + | 2.31424i | −1.24594 | + | 0.0980577i | −0.684224 | − | 0.729272i | \(-0.739859\pi\) |
−0.561717 | + | 0.827330i | \(0.689859\pi\) | |||||||
\(558\) | 16.2248 | − | 24.0793i | 0.686852 | − | 1.01936i | ||||
\(559\) | 3.71097 | − | 3.16947i | 0.156957 | − | 0.134054i | ||||
\(560\) | 13.8928 | + | 62.0997i | 0.587079 | + | 2.62419i | ||||
\(561\) | −10.6759 | + | 6.54218i | −0.450736 | + | 0.276211i | ||||
\(562\) | −9.80116 | − | 35.2758i | −0.413437 | − | 1.48802i | ||||
\(563\) | −11.4193 | − | 9.75297i | −0.481264 | − | 0.411039i | 0.375440 | − | 0.926847i | \(-0.377492\pi\) |
−0.856704 | + | 0.515808i | \(0.827492\pi\) | |||||||
\(564\) | −2.90608 | + | 1.17739i | −0.122368 | + | 0.0495771i | ||||
\(565\) | −14.2920 | + | 14.2920i | −0.601268 | + | 0.601268i | ||||
\(566\) | −18.0060 | + | 19.3278i | −0.756850 | + | 0.812407i | ||||
\(567\) | −38.8124 | + | 9.31804i | −1.62997 | + | 0.391321i | ||||
\(568\) | 3.94063 | − | 4.16460i | 0.165345 | − | 0.174743i | ||||
\(569\) | −3.00933 | − | 1.53333i | −0.126158 | − | 0.0642806i | 0.389773 | − | 0.920911i | \(-0.372554\pi\) |
−0.515930 | + | 0.856631i | \(0.672554\pi\) | |||||||
\(570\) | 0.153352 | + | 0.196086i | 0.00642319 | + | 0.00821315i | ||||
\(571\) | −20.7785 | − | 8.60672i | −0.869552 | − | 0.360180i | −0.0971160 | − | 0.995273i | \(-0.530962\pi\) |
−0.772436 | + | 0.635093i | \(0.780962\pi\) | |||||||
\(572\) | −2.78593 | + | 3.21109i | −0.116485 | + | 0.134262i | ||||
\(573\) | 11.7265i | 0.489883i | ||||||||
\(574\) | 13.9851 | + | 30.3587i | 0.583729 | + | 1.26715i | ||||
\(575\) | − | 64.2443i | − | 2.67917i | ||||||
\(576\) | 10.9162 | + | 13.4009i | 0.454840 | + | 0.558372i | ||||
\(577\) | −22.6018 | − | 9.36197i | −0.940925 | − | 0.389744i | −0.141112 | − | 0.989994i | \(-0.545068\pi\) |
−0.799813 | + | 0.600250i | \(0.795068\pi\) | |||||||
\(578\) | −10.9579 | + | 8.56975i | −0.455788 | + | 0.356455i | ||||
\(579\) | −20.2373 | − | 10.3114i | −0.841034 | − | 0.428528i | ||||
\(580\) | 34.1446 | − | 17.0650i | 1.41778 | − | 0.708584i | ||||
\(581\) | 53.4080 | − | 12.8221i | 2.21574 | − | 0.531952i | ||||
\(582\) | 6.68796 | + | 6.23060i | 0.277225 | + | 0.258267i | ||||
\(583\) | 0.908468 | − | 0.908468i | 0.0376249 | − | 0.0376249i | ||||
\(584\) | 8.95408 | + | 9.91565i | 0.370523 | + | 0.410313i | ||||
\(585\) | 7.30846 | + | 6.24201i | 0.302168 | + | 0.258075i | ||||
\(586\) | −24.9372 | + | 6.92864i | −1.03015 | + | 0.286219i | ||||
\(587\) | −20.3249 | + | 12.4551i | −0.838900 | + | 0.514079i | −0.874352 | − | 0.485293i | \(-0.838713\pi\) |
0.0354515 | + | 0.999371i | \(0.488713\pi\) | |||||||
\(588\) | −26.7116 | − | 13.8725i | −1.10157 | − | 0.572090i | ||||
\(589\) | −0.129910 | + | 0.110954i | −0.00535287 | + | 0.00457178i | ||||
\(590\) | 14.4461 | + | 9.73389i | 0.594736 | + | 0.400738i | ||||
\(591\) | −17.7080 | + | 1.39365i | −0.728410 | + | 0.0573271i | ||||
\(592\) | 10.1580 | − | 9.84734i | 0.417489 | − | 0.404723i | ||||
\(593\) | 2.34482 | − | 3.82639i | 0.0962900 | − | 0.157131i | −0.800868 | − | 0.598841i | \(-0.795628\pi\) |
0.897158 | + | 0.441710i | \(0.145628\pi\) | |||||||
\(594\) | −1.06235 | − | 5.45128i | −0.0435887 | − | 0.223669i | ||||
\(595\) | 6.66082 | − | 42.0548i | 0.273067 | − | 1.72408i | ||||
\(596\) | −35.9751 | + | 5.41197i | −1.47360 | + | 0.221683i | ||||
\(597\) | −20.8162 | + | 28.6511i | −0.851951 | + | 1.17261i | ||||
\(598\) | 2.86769 | + | 6.28454i | 0.117268 | + | 0.256994i | ||||
\(599\) | −17.9450 | + | 13.0378i | −0.733213 | + | 0.532710i | −0.890578 | − | 0.454830i | \(-0.849700\pi\) |
0.157365 | + | 0.987540i | \(0.449700\pi\) | |||||||
\(600\) | 16.0196 | + | 85.7422i | 0.653998 | + | 3.50041i | ||||
\(601\) | −8.78650 | − | 21.2125i | −0.358409 | − | 0.865275i | −0.995524 | − | 0.0945069i | \(-0.969873\pi\) |
0.637115 | − | 0.770768i | \(-0.280127\pi\) | |||||||
\(602\) | −15.3554 | + | 19.3234i | −0.625838 | + | 0.787565i | ||||
\(603\) | 22.2193 | + | 1.74870i | 0.904840 | + | 0.0712125i | ||||
\(604\) | 18.3702 | + | 0.142608i | 0.747474 | + | 0.00580262i | ||||
\(605\) | 27.7054 | + | 9.00201i | 1.12638 | + | 0.365984i | ||||
\(606\) | 40.4080 | + | 18.8189i | 1.64146 | + | 0.764465i | ||||
\(607\) | 15.7435 | − | 8.02169i | 0.639007 | − | 0.325590i | −0.104295 | − | 0.994546i | \(-0.533259\pi\) |
0.743302 | + | 0.668956i | \(0.233259\pi\) | |||||||
\(608\) | −0.0407775 | − | 0.0931672i | −0.00165374 | − | 0.00377843i | ||||
\(609\) | −8.66840 | + | 36.1065i | −0.351261 | + | 1.46311i | ||||
\(610\) | −1.21661 | − | 0.148786i | −0.0492591 | − | 0.00602416i | ||||
\(611\) | 0.677467 | − | 0.220123i | 0.0274074 | − | 0.00890520i | ||||
\(612\) | −3.48835 | − | 11.0266i | −0.141008 | − | 0.445722i | ||||
\(613\) | −5.42815 | − | 34.2720i | −0.219241 | − | 1.38423i | −0.814251 | − | 0.580513i | \(-0.802852\pi\) |
0.595010 | − | 0.803718i | \(-0.297148\pi\) | |||||||
\(614\) | 20.1230 | − | 7.33515i | 0.812098 | − | 0.296023i | ||||
\(615\) | 24.1992 | + | 57.8327i | 0.975808 | + | 2.33204i | ||||
\(616\) | 10.7231 | − | 18.6351i | 0.432047 | − | 0.750831i | ||||
\(617\) | −33.1851 | + | 5.25601i | −1.33598 | + | 0.211599i | −0.783223 | − | 0.621741i | \(-0.786426\pi\) |
−0.552761 | + | 0.833340i | \(0.686426\pi\) | |||||||
\(618\) | 9.85745 | + | 0.425626i | 0.396525 | + | 0.0171212i | ||||
\(619\) | −7.14784 | − | 21.9988i | −0.287296 | − | 0.884206i | −0.985701 | − | 0.168503i | \(-0.946107\pi\) |
0.698405 | − | 0.715702i | \(-0.253893\pi\) | |||||||
\(620\) | −79.7954 | + | 18.5032i | −3.20466 | + | 0.743108i | ||||
\(621\) | −8.77529 | − | 2.10676i | −0.352140 | − | 0.0845414i | ||||
\(622\) | −24.3031 | − | 36.6795i | −0.974464 | − | 1.47071i | ||||
\(623\) | −5.28075 | − | 10.3641i | −0.211569 | − | 0.415227i | ||||
\(624\) | −5.39437 | − | 7.67244i | −0.215948 | − | 0.307143i | ||||
\(625\) | −28.2486 | + | 86.9404i | −1.12995 | + | 3.47762i | ||||
\(626\) | 7.50448 | + | 2.80169i | 0.299939 | + | 0.111978i | ||||
\(627\) | 0.00659883 | − | 0.0838461i | 0.000263532 | − | 0.00334849i | ||||
\(628\) | −32.7723 | − | 10.9303i | −1.30776 | − | 0.436168i | ||||
\(629\) | −8.74577 | + | 3.62262i | −0.348717 | + | 0.144443i | ||||
\(630\) | −42.3182 | − | 23.9156i | −1.68600 | − | 0.952819i | ||||
\(631\) | 21.1924 | + | 29.1688i | 0.843656 | + | 1.16119i | 0.985225 | + | 0.171265i | \(0.0547853\pi\) |
−0.141569 | + | 0.989928i | \(0.545215\pi\) | |||||||
\(632\) | −2.56490 | + | 5.39749i | −0.102026 | + | 0.214701i | ||||
\(633\) | −47.1306 | − | 34.2424i | −1.87327 | − | 1.36101i | ||||
\(634\) | −1.83380 | + | 9.03569i | −0.0728294 | + | 0.358853i | ||||
\(635\) | −25.7829 | − | 4.08360i | −1.02316 | − | 0.162053i | ||||
\(636\) | 1.46220 | + | 2.42821i | 0.0579801 | + | 0.0962848i | ||||
\(637\) | 5.83029 | + | 3.57281i | 0.231004 | + | 0.141560i | ||||
\(638\) | −12.3990 | − | 3.54889i | −0.490881 | − | 0.140502i | ||||
\(639\) | 0.343618 | + | 4.36609i | 0.0135933 | + | 0.172720i | ||||
\(640\) | 3.23730 | − | 48.6536i | 0.127965 | − | 1.92320i | ||||
\(641\) | 24.3122 | + | 28.4659i | 0.960273 | + | 1.12433i | 0.992176 | + | 0.124844i | \(0.0398430\pi\) |
−0.0319038 | + | 0.999491i | \(0.510157\pi\) | |||||||
\(642\) | −26.1718 | − | 28.5339i | −1.03292 | − | 1.12614i | ||||
\(643\) | −3.97213 | − | 6.48193i | −0.156646 | − | 0.255623i | 0.764683 | − | 0.644406i | \(-0.222895\pi\) |
−0.921329 | + | 0.388784i | \(0.872895\pi\) | |||||||
\(644\) | −20.3151 | − | 28.4227i | −0.800525 | − | 1.12001i | ||||
\(645\) | −30.0645 | + | 35.2010i | −1.18379 | + | 1.38604i | ||||
\(646\) | 0.00240765 | + | 0.0680065i | 9.47278e−5 | + | 0.00267568i | ||||
\(647\) | 7.27507 | + | 7.27507i | 0.286012 | + | 0.286012i | 0.835501 | − | 0.549489i | \(-0.185177\pi\) |
−0.549489 | + | 0.835501i | \(0.685177\pi\) | |||||||
\(648\) | 30.5461 | + | 1.55657i | 1.19996 | + | 0.0611480i | ||||
\(649\) | −1.37393 | − | 5.72285i | −0.0539316 | − | 0.224641i | ||||
\(650\) | −2.25273 | − | 19.6876i | −0.0883592 | − | 0.772210i | ||||
\(651\) | 36.1753 | − | 70.9980i | 1.41782 | − | 2.78263i | ||||
\(652\) | −2.74738 | + | 4.40617i | −0.107596 | + | 0.172559i | ||||
\(653\) | −16.1999 | + | 39.1099i | −0.633949 | + | 1.53049i | 0.200668 | + | 0.979659i | \(0.435689\pi\) |
−0.834618 | + | 0.550830i | \(0.814311\pi\) | |||||||
\(654\) | 31.8550 | − | 17.6776i | 1.24563 | − | 0.691248i | ||||
\(655\) | 56.1607 | 2.19438 | ||||||||
\(656\) | −3.70467 | − | 25.3432i | −0.144643 | − | 0.989484i | ||||
\(657\) | −10.2054 | −0.398152 | ||||||||
\(658\) | −3.15005 | + | 1.74808i | −0.122802 | + | 0.0681474i | ||||
\(659\) | 9.96689 | − | 24.0622i | 0.388255 | − | 0.937330i | −0.602055 | − | 0.798455i | \(-0.705651\pi\) |
0.990310 | − | 0.138876i | \(-0.0443488\pi\) | |||||||
\(660\) | 21.3361 | − | 34.2183i | 0.830507 | − | 1.33194i | ||||
\(661\) | 11.5705 | − | 22.7084i | 0.450040 | − | 0.883254i | −0.548839 | − | 0.835928i | \(-0.684930\pi\) |
0.998879 | − | 0.0473260i | \(-0.0150700\pi\) | |||||||
\(662\) | −0.0161664 | − | 0.141285i | −0.000628326 | − | 0.00549122i | ||||
\(663\) | 1.46502 | + | 6.10223i | 0.0568965 | + | 0.236991i | ||||
\(664\) | −42.0331 | − | 2.14193i | −1.63120 | − | 0.0831230i | ||||
\(665\) | 0.202240 | + | 0.202240i | 0.00784252 | + | 0.00784252i | ||||
\(666\) | 0.382359 | + | 10.8001i | 0.0148161 | + | 0.418495i | ||||
\(667\) | −13.6103 | + | 15.9356i | −0.526992 | + | 0.617028i | ||||
\(668\) | −15.1322 | − | 21.1714i | −0.585484 | − | 0.819147i | ||||
\(669\) | 21.6108 | + | 35.2656i | 0.835522 | + | 1.36345i | ||||
\(670\) | −42.5016 | − | 46.3375i | −1.64198 | − | 1.79017i | ||||
\(671\) | 0.268946 | + | 0.314895i | 0.0103825 | + | 0.0121564i | ||||
\(672\) | 34.2003 | + | 32.8680i | 1.31931 | + | 1.26791i | ||||
\(673\) | 0.826021 | + | 10.4956i | 0.0318408 | + | 0.404575i | 0.992099 | + | 0.125461i | \(0.0400409\pi\) |
−0.960258 | + | 0.279114i | \(0.909959\pi\) | |||||||
\(674\) | −5.68126 | − | 1.62611i | −0.218834 | − | 0.0626355i | ||||
\(675\) | 22.0733 | + | 13.5265i | 0.849600 | + | 0.520636i | ||||
\(676\) | −12.3133 | − | 20.4481i | −0.473588 | − | 0.786465i | ||||
\(677\) | 16.2895 | + | 2.58000i | 0.626056 | + | 0.0991576i | 0.461398 | − | 0.887193i | \(-0.347348\pi\) |
0.164658 | + | 0.986351i | \(0.447348\pi\) | |||||||
\(678\) | −2.99658 | + | 14.7651i | −0.115083 | + | 0.567050i | ||||
\(679\) | 8.49634 | + | 6.17295i | 0.326060 | + | 0.236896i | ||||
\(680\) | −14.0036 | + | 29.4688i | −0.537014 | + | 1.13008i | ||||
\(681\) | 16.8788 | + | 23.2317i | 0.646796 | + | 0.890239i | ||||
\(682\) | 24.0941 | + | 13.6165i | 0.922612 | + | 0.521402i | ||||
\(683\) | −22.5799 | + | 9.35290i | −0.863996 | + | 0.357879i | −0.770269 | − | 0.637719i | \(-0.779878\pi\) |
−0.0937270 | + | 0.995598i | \(0.529878\pi\) | |||||||
\(684\) | 0.0736945 | + | 0.0245789i | 0.00281778 | + | 0.000939798i | ||||
\(685\) | −0.621446 | + | 7.89622i | −0.0237442 | + | 0.301699i | ||||
\(686\) | 1.83470 | + | 0.684958i | 0.0700492 | + | 0.0261518i | ||||
\(687\) | −15.1907 | + | 46.7520i | −0.579560 | + | 1.78370i | ||||
\(688\) | 15.4714 | − | 10.8777i | 0.589842 | − | 0.414709i | ||||
\(689\) | −0.292342 | − | 0.573753i | −0.0111373 | − | 0.0218582i | ||||
\(690\) | −36.1925 | − | 54.6238i | −1.37783 | − | 2.07949i | ||||
\(691\) | −40.3328 | − | 9.68306i | −1.53433 | − | 0.368361i | −0.623729 | − | 0.781640i | \(-0.714383\pi\) |
−0.910604 | + | 0.413280i | \(0.864383\pi\) | |||||||
\(692\) | −19.7732 | + | 4.58507i | −0.751663 | + | 0.174298i | ||||
\(693\) | 5.07504 | + | 15.6194i | 0.192785 | + | 0.593331i | ||||
\(694\) | −15.6215 | − | 0.674505i | −0.592983 | − | 0.0256039i | ||||
\(695\) | −23.9329 | + | 3.79059i | −0.907825 | + | 0.143785i | ||||
\(696\) | 14.1910 | − | 24.6618i | 0.537909 | − | 0.934805i | ||||
\(697\) | −3.94073 | + | 16.6785i | −0.149266 | + | 0.631742i | ||||
\(698\) | 3.80017 | − | 1.38522i | 0.143839 | − | 0.0524315i | ||||
\(699\) | 2.78254 | + | 17.5683i | 0.105245 | + | 0.664493i | ||||
\(700\) | 30.2284 | + | 95.5511i | 1.14253 | + | 3.61149i | ||||
\(701\) | 25.4960 | − | 8.28415i | 0.962970 | − | 0.312888i | 0.214995 | − | 0.976615i | \(-0.431026\pi\) |
0.747975 | + | 0.663727i | \(0.231026\pi\) | |||||||
\(702\) | −2.76305 | − | 0.337908i | −0.104284 | − | 0.0127535i | ||||
\(703\) | 0.0148441 | − | 0.0618302i | 0.000559856 | − | 0.00233197i | ||||
\(704\) | −11.9175 | + | 11.3750i | −0.449159 | + | 0.428711i | ||||
\(705\) | −6.02047 | + | 3.06758i | −0.226744 | + | 0.115532i | ||||
\(706\) | −26.5604 | − | 12.3698i | −0.999615 | − | 0.465542i | ||||
\(707\) | 48.7084 | + | 15.8263i | 1.83187 | + | 0.595210i | ||||
\(708\) | 12.9842 | + | 0.100796i | 0.487976 | + | 0.00378815i | ||||
\(709\) | −3.01604 | − | 0.237368i | −0.113270 | − | 0.00891453i | 0.0216975 | − | 0.999765i | \(-0.493093\pi\) |
−0.134967 | + | 0.990850i | \(0.543093\pi\) | |||||||
\(710\) | 7.68673 | − | 9.67310i | 0.288478 | − | 0.363025i | ||||
\(711\) | −1.74687 | − | 4.21732i | −0.0655128 | − | 0.158162i | ||||
\(712\) | 1.63695 | + | 8.76149i | 0.0613473 | + | 0.328351i | ||||
\(713\) | 36.3824 | − | 26.4334i | 1.36253 | − | 0.989937i | ||||
\(714\) | −13.1757 | − | 28.8746i | −0.493089 | − | 1.08061i | ||||
\(715\) | −5.38476 | + | 7.41149i | −0.201379 | + | 0.277174i | ||||
\(716\) | 24.2658 | − | 3.65046i | 0.906854 | − | 0.136424i | ||||
\(717\) | 7.73589 | − | 48.8425i | 0.288902 | − | 1.82406i | ||||
\(718\) | −0.321573 | − | 1.65010i | −0.0120010 | − | 0.0615813i | ||||
\(719\) | 25.6223 | − | 41.8119i | 0.955552 | − | 1.55932i | 0.132629 | − | 0.991166i | \(-0.457658\pi\) |
0.822923 | − | 0.568153i | \(-0.192342\pi\) | |||||||
\(720\) | 25.9255 | + | 26.7433i | 0.966188 | + | 0.996665i | ||||
\(721\) | 11.3014 | − | 0.889438i | 0.420885 | − | 0.0331244i | ||||
\(722\) | 22.2831 | + | 15.0146i | 0.829293 | + | 0.558784i | ||||
\(723\) | 3.84946 | − | 3.28775i | 0.143163 | − | 0.122273i | ||||
\(724\) | 22.5175 | + | 11.6943i | 0.836858 | + | 0.434616i | ||||
\(725\) | 51.2577 | − | 31.4108i | 1.90366 | − | 1.16657i | ||||
\(726\) | 20.9220 | − | 5.81304i | 0.776488 | − | 0.215742i | ||||
\(727\) | −7.19476 | − | 6.14491i | −0.266839 | − | 0.227902i | 0.505954 | − | 0.862561i | \(-0.331141\pi\) |
−0.772793 | + | 0.634659i | \(0.781141\pi\) | |||||||
\(728\) | −7.22216 | − | 7.99773i | −0.267671 | − | 0.296416i | ||||
\(729\) | −7.33071 | + | 7.33071i | −0.271508 | + | 0.271508i | ||||
\(730\) | 21.0657 | + | 19.6251i | 0.779676 | + | 0.726357i | ||||
\(731\) | −12.3051 | + | 2.95419i | −0.455121 | + | 0.109265i | ||||
\(732\) | −0.817242 | + | 0.408446i | −0.0302061 | + | 0.0150966i | ||||
\(733\) | −12.3525 | − | 6.29391i | −0.456250 | − | 0.232471i | 0.210733 | − | 0.977544i | \(-0.432415\pi\) |
−0.666983 | + | 0.745073i | \(0.732415\pi\) | |||||||
\(734\) | 21.9680 | − | 17.1804i | 0.810855 | − | 0.634139i | ||||
\(735\) | −59.9249 | − | 24.8217i | −2.21036 | − | 0.915562i | ||||
\(736\) | 8.77660 | + | 25.2910i | 0.323510 | + | 0.932237i | ||||
\(737\) | 21.2441i | 0.782537i | ||||||||
\(738\) | 16.2642 | + | 10.8741i | 0.598694 | + | 0.400280i | ||||
\(739\) | 23.1456i | 0.851425i | 0.904859 | + | 0.425712i | \(0.139976\pi\) | ||||
−0.904859 | + | 0.425712i | \(0.860024\pi\) | |||||||
\(740\) | 19.9794 | − | 23.0285i | 0.734457 | − | 0.846543i | ||||
\(741\) | −0.0389456 | − | 0.0161318i | −0.00143070 | − | 0.000592617i | ||||
\(742\) | 2.00625 | + | 2.56534i | 0.0736518 | + | 0.0941765i | ||||
\(743\) | 1.48566 | + | 0.756984i | 0.0545038 | + | 0.0277711i | 0.481030 | − | 0.876704i | \(-0.340263\pi\) |
−0.426526 | + | 0.904475i | \(0.640263\pi\) | |||||||
\(744\) | −41.9656 | + | 44.3508i | −1.53854 | + | 1.62598i | ||||
\(745\) | −76.2312 | + | 18.3015i | −2.79289 | + | 0.670514i | ||||
\(746\) | 20.7788 | − | 22.3040i | 0.760765 | − | 0.816609i | ||||
\(747\) | 22.7330 | − | 22.7330i | 0.831757 | − | 0.831757i | ||||
\(748\) | 10.2168 | − | 4.13933i | 0.373565 | − | 0.151349i | ||||
\(749\) | −33.8276 | − | 28.8915i | −1.23603 | − | 1.05567i | ||||
\(750\) | 31.7862 | + | 114.403i | 1.16067 | + | 4.17742i | ||||
\(751\) | −19.8253 | + | 12.1490i | −0.723436 | + | 0.443322i | −0.834868 | − | 0.550450i | \(-0.814456\pi\) |
0.111432 | + | 0.993772i | \(0.464456\pi\) | |||||||
\(752\) | 2.69394 | − | 0.602683i | 0.0982379 | − | 0.0219776i | ||||
\(753\) | 27.9809 | − | 23.8980i | 1.01968 | − | 0.870890i | ||||
\(754\) | −3.61207 | + | 5.36068i | −0.131544 | + | 0.195224i | ||||
\(755\) | 39.4663 | − | 3.10606i | 1.43632 | − | 0.113041i | ||||
\(756\) | 14.0428 | − | 0.995573i | 0.510733 | − | 0.0362086i | ||||
\(757\) | 8.84942 | − | 14.4409i | 0.321638 | − | 0.524865i | −0.650430 | − | 0.759566i | \(-0.725411\pi\) |
0.972068 | + | 0.234701i | \(0.0754112\pi\) | |||||||
\(758\) | 52.9391 | − | 10.3168i | 1.92283 | − | 0.374723i | ||||
\(759\) | −3.46331 | + | 21.8665i | −0.125710 | + | 0.793703i | ||||
\(760\) | −0.104852 | − | 0.192450i | −0.00380340 | − | 0.00698090i | ||||
\(761\) | −31.6751 | + | 43.5970i | −1.14822 | + | 1.58039i | −0.400619 | + | 0.916245i | \(0.631205\pi\) |
−0.747602 | + | 0.664147i | \(0.768795\pi\) | |||||||
\(762\) | −17.7024 | + | 8.07775i | −0.641290 | + | 0.292626i | ||||
\(763\) | 33.8638 | − | 24.6035i | 1.22595 | − | 0.890705i | ||||
\(764\) | 1.69415 | − | 10.1841i | 0.0612922 | − | 0.368449i | ||||
\(765\) | −9.53743 | − | 23.0254i | −0.344827 | − | 0.832485i | ||||
\(766\) | 22.5200 | + | 17.8955i | 0.813681 | + | 0.646591i | ||||
\(767\) | −2.94076 | − | 0.231443i | −0.106185 | − | 0.00835691i | ||||
\(768\) | −18.0199 | − | 31.5655i | −0.650237 | − | 1.13902i | ||||
\(769\) | 20.9032 | + | 6.79188i | 0.753790 | + | 0.244921i | 0.660611 | − | 0.750728i | \(-0.270297\pi\) |
0.0931789 | + | 0.995649i | \(0.470297\pi\) | |||||||
\(770\) | 19.5604 | − | 42.0003i | 0.704909 | − | 1.51359i | ||||
\(771\) | 22.6255 | − | 11.5283i | 0.814836 | − | 0.415180i | ||||
\(772\) | 16.0858 | + | 11.8789i | 0.578940 | + | 0.427530i | ||||
\(773\) | −10.0460 | + | 41.8447i | −0.361330 | + | 1.50505i | 0.435136 | + | 0.900365i | \(0.356700\pi\) |
−0.796466 | + | 0.604683i | \(0.793300\pi\) | |||||||
\(774\) | −1.75371 | + | 14.3399i | −0.0630356 | + | 0.515438i | ||||
\(775\) | −122.690 | + | 39.8645i | −4.40717 | + | 1.43198i | ||||
\(776\) | −4.90815 | − | 6.37731i | −0.176192 | − | 0.228932i | ||||
\(777\) | 4.63947 | + | 29.2924i | 0.166440 | + | 1.05086i | ||||
\(778\) | −6.13328 | − | 16.8258i | −0.219889 | − | 0.603234i | ||||
\(779\) | −0.0750769 | − | 0.0872659i | −0.00268991 | − | 0.00312663i | ||||
\(780\) | −13.0065 | − | 15.4703i | −0.465708 | − | 0.553925i | ||||
\(781\) | −4.12307 | + | 0.653030i | −0.147535 | + | 0.0233672i | ||||
\(782\) | 0.772711 | − | 17.8959i | 0.0276321 | − | 0.639955i | ||||
\(783\) | −2.60958 | − | 8.03147i | −0.0932588 | − | 0.287021i | ||||
\(784\) | 21.1940 | + | 15.9069i | 0.756930 | + | 0.568103i | ||||
\(785\) | −72.3904 | − | 17.3794i | −2.58372 | − | 0.620297i | ||||
\(786\) | 34.8974 | − | 23.1223i | 1.24475 | − | 0.824745i | ||||
\(787\) | 17.0371 | + | 33.4371i | 0.607305 | + | 1.19190i | 0.966023 | + | 0.258457i | \(0.0832142\pi\) |
−0.358717 | + | 0.933446i | \(0.616786\pi\) | |||||||
\(788\) | 15.5802 | + | 1.34796i | 0.555023 | + | 0.0480192i | ||||
\(789\) | 8.52512 | − | 26.2376i | 0.303502 | − | 0.934084i | ||||
\(790\) | −4.50411 | + | 12.0645i | −0.160249 | + | 0.429236i | ||||
\(791\) | −1.35815 | + | 17.2569i | −0.0482902 | + | 0.613585i | ||||
\(792\) | −0.347612 | − | 12.5797i | −0.0123518 | − | 0.447001i | ||||
\(793\) | 0.191759 | − | 0.0794291i | 0.00680956 | − | 0.00282061i | ||||
\(794\) | −26.5330 | + | 46.9498i | −0.941622 | + | 1.66619i | ||||
\(795\) | 3.59030 | + | 4.94162i | 0.127335 | + | 0.175261i | ||||
\(796\) | 22.2175 | − | 21.8752i | 0.787479 | − | 0.775347i | ||||
\(797\) | 40.2404 | + | 29.2364i | 1.42539 | + | 1.03560i | 0.990852 | + | 0.134950i | \(0.0430874\pi\) |
0.434535 | + | 0.900655i | \(0.356913\pi\) | |||||||
\(798\) | 0.208935 | + | 0.0424034i | 0.00739620 | + | 0.00150106i | ||||
\(799\) | −1.82437 | − | 0.288952i | −0.0645417 | − | 0.0102224i | ||||
\(800\) | −1.52525 | − | 76.7789i | −0.0539257 | − | 2.71454i | ||||
\(801\) | −5.80512 | − | 3.55738i | −0.205114 | − | 0.125694i | ||||
\(802\) | 5.83181 | − | 20.3750i | 0.205928 | − | 0.719466i | ||||
\(803\) | −0.763206 | − | 9.69745i | −0.0269330 | − | 0.342216i | ||||
\(804\) | −45.4878 | − | 11.2948i | −1.60423 | − | 0.398338i | ||||
\(805\) | −48.8946 | − | 57.2483i | −1.72331 | − | 2.01774i | ||||
\(806\) | 10.2224 | − | 9.37621i | 0.360070 | − | 0.330263i | ||||
\(807\) | −19.9962 | − | 32.6308i | −0.703899 | − | 1.14866i | ||||
\(808\) | −32.3744 | − | 22.1815i | −1.13893 | − | 0.780341i | ||||
\(809\) | 30.6215 | − | 35.8532i | 1.07660 | − | 1.26053i | 0.112878 | − | 0.993609i | \(-0.463993\pi\) |
0.963718 | − | 0.266923i | \(-0.0860069\pi\) | |||||||
\(810\) | 65.8697 | − | 2.33200i | 2.31443 | − | 0.0819383i | ||||
\(811\) | 13.5831 | + | 13.5831i | 0.476968 | + | 0.476968i | 0.904161 | − | 0.427193i | \(-0.140497\pi\) |
−0.427193 | + | 0.904161i | \(0.640497\pi\) | |||||||
\(812\) | 12.7446 | − | 30.1051i | 0.447248 | − | 1.05648i | ||||
\(813\) | 14.5316 | + | 60.5283i | 0.509644 | + | 2.12282i | ||||
\(814\) | −10.2339 | + | 1.17100i | −0.358699 | + | 0.0410437i | ||||
\(815\) | −5.08002 | + | 9.97011i | −0.177945 | + | 0.349238i | ||||
\(816\) | 3.43114 | + | 24.0770i | 0.120114 | + | 0.842864i | ||||
\(817\) | 0.0325297 | − | 0.0785335i | 0.00113807 | − | 0.00274754i | ||||
\(818\) | −11.4047 | − | 20.5513i | −0.398756 | − | 0.718559i | ||||
\(819\) | 8.23146 | 0.287630 | ||||||||
\(820\) | −12.6611 | − | 53.7221i | −0.442146 | − | 1.87606i | ||||
\(821\) | 14.1767 | 0.494770 | 0.247385 | − | 0.968917i | \(-0.420429\pi\) | ||||
0.247385 | + | 0.968917i | \(0.420429\pi\) | |||||||
\(822\) | 2.86485 | + | 5.16246i | 0.0999231 | + | 0.180061i | ||||
\(823\) | 14.4702 | − | 34.9342i | 0.504400 | − | 1.21773i | −0.442665 | − | 0.896687i | \(-0.645967\pi\) |
0.947065 | − | 0.321042i | \(-0.104033\pi\) | |||||||
\(824\) | −8.49941 | − | 1.79377i | −0.296091 | − | 0.0624888i | ||||
\(825\) | 28.8321 | − | 56.5862i | 1.00381 | − | 1.97008i | ||||
\(826\) | 14.8220 | − | 1.69599i | 0.515724 | − | 0.0590111i | ||||
\(827\) | 2.50888 | + | 10.4502i | 0.0872422 | + | 0.363390i | 0.998865 | − | 0.0476388i | \(-0.0151696\pi\) |
−0.911622 | + | 0.411029i | \(0.865170\pi\) | |||||||
\(828\) | −18.8312 | − | 7.97195i | −0.654429 | − | 0.277044i | ||||
\(829\) | −19.3019 | − | 19.3019i | −0.670382 | − | 0.670382i | 0.287422 | − | 0.957804i | \(-0.407202\pi\) |
−0.957804 | + | 0.287422i | \(0.907202\pi\) | |||||||
\(830\) | −90.6404 | + | 3.20897i | −3.14617 | + | 0.111385i | ||||
\(831\) | 40.3360 | − | 47.2274i | 1.39924 | − | 1.63830i | ||||
\(832\) | 3.57640 | + | 7.44262i | 0.123989 | + | 0.258027i | ||||
\(833\) | −9.26448 | − | 15.1183i | −0.320995 | − | 0.523817i | ||||
\(834\) | −13.3109 | + | 12.2090i | −0.460919 | + | 0.422763i | ||||
\(835\) | −36.4206 | − | 42.6430i | −1.26039 | − | 1.47572i | ||||
\(836\) | −0.0178443 | + | 0.0718645i | −0.000617158 | + | 0.00248549i | ||||
\(837\) | 1.42181 | + | 18.0659i | 0.0491451 | + | 0.624448i | ||||
\(838\) | −3.40363 | + | 11.8915i | −0.117576 | + | 0.410784i | ||||
\(839\) | −43.6140 | − | 26.7267i | −1.50572 | − | 0.922709i | −0.998131 | − | 0.0611117i | \(-0.980535\pi\) |
−0.507593 | − | 0.861597i | \(-0.669465\pi\) | |||||||
\(840\) | 79.5312 | + | 64.2129i | 2.74409 | + | 2.21556i | ||||
\(841\) | 9.27424 | + | 1.46889i | 0.319801 | + | 0.0506515i | ||||
\(842\) | −0.877744 | − | 0.178139i | −0.0302491 | − | 0.00613906i | ||||
\(843\) | −47.5790 | − | 34.5681i | −1.63871 | − | 1.19059i | ||||
\(844\) | 35.9844 | + | 36.5475i | 1.23864 | + | 1.25802i | ||||
\(845\) | −30.2341 | − | 41.6137i | −1.04008 | − | 1.43155i | ||||
\(846\) | −1.03748 | + | 1.83580i | −0.0356692 | + | 0.0631161i | ||||
\(847\) | 23.0499 | − | 9.54759i | 0.792004 | − | 0.328059i | ||||
\(848\) | −0.919073 | − | 2.32008i | −0.0315611 | − | 0.0796717i | ||||
\(849\) | −3.32916 | + | 42.3010i | −0.114257 | + | 1.45177i | ||||
\(850\) | −17.9719 | + | 48.1387i | −0.616430 | + | 1.65114i | ||||
\(851\) | −5.17233 | + | 15.9188i | −0.177305 | + | 0.545690i | ||||
\(852\) | 0.793841 | − | 9.17549i | 0.0271965 | − | 0.314347i | ||||
\(853\) | 2.41421 | + | 4.73816i | 0.0826611 | + | 0.162232i | 0.928637 | − | 0.370989i | \(-0.120981\pi\) |
−0.845976 | + | 0.533221i | \(0.820981\pi\) | |||||||
\(854\) | −0.875064 | + | 0.579799i | −0.0299441 | + | 0.0198403i | ||||
\(855\) | 0.162783 | + | 0.0390808i | 0.00556707 | + | 0.00133653i | ||||
\(856\) | 18.6071 | + | 28.5619i | 0.635977 | + | 0.976226i | ||||
\(857\) | −4.07561 | − | 12.5434i | −0.139220 | − | 0.428476i | 0.857002 | − | 0.515313i | \(-0.172324\pi\) |
−0.996223 | + | 0.0868366i | \(0.972324\pi\) | |||||||
\(858\) | −0.294578 | + | 6.82239i | −0.0100567 | + | 0.232913i | ||||
\(859\) | 45.4393 | − | 7.19688i | 1.55037 | − | 0.245554i | 0.678244 | − | 0.734837i | \(-0.262741\pi\) |
0.872125 | + | 0.489283i | \(0.162741\pi\) | |||||||
\(860\) | 31.1957 | − | 26.2276i | 1.06376 | − | 0.894353i | ||||
\(861\) | 47.9268 | + | 24.2031i | 1.63334 | + | 0.824840i | ||||
\(862\) | −8.29559 | − | 22.7578i | −0.282549 | − | 0.775134i | ||||
\(863\) | −0.293954 | − | 1.85595i | −0.0100063 | − | 0.0631773i | 0.982180 | − | 0.187943i | \(-0.0601820\pi\) |
−0.992186 | + | 0.124766i | \(0.960182\pi\) | |||||||
\(864\) | −10.5374 | − | 2.30947i | −0.358491 | − | 0.0785698i | ||||
\(865\) | −41.6001 | + | 13.5167i | −1.41445 | + | 0.459581i | ||||
\(866\) | −4.03808 | + | 33.0191i | −0.137220 | + | 1.12203i | ||||
\(867\) | −5.21647 | + | 21.7281i | −0.177160 | + | 0.737926i | ||||
\(868\) | −41.6743 | + | 56.4333i | −1.41452 | + | 1.91547i | ||||
\(869\) | 3.87677 | − | 1.97531i | 0.131510 | − | 0.0670079i | ||||
\(870\) | 25.8864 | − | 55.5834i | 0.877631 | − | 1.88446i | ||||
\(871\) | 10.1266 | + | 3.29034i | 0.343127 | + | 0.111489i | ||||
\(872\) | −30.2190 | + | 10.7503i | −1.02335 | + | 0.364052i | ||||
\(873\) | 6.12816 | + | 0.482296i | 0.207407 | + | 0.0163233i | ||||
\(874\) | 0.0942008 | + | 0.0748566i | 0.00318639 | + | 0.00253206i | ||||
\(875\) | 52.2070 | + | 126.039i | 1.76492 | + | 4.26089i | ||||
\(876\) | 21.1699 | + | 3.52166i | 0.715265 | + | 0.118986i | ||||
\(877\) | 7.56470 | − | 5.49608i | 0.255442 | − | 0.185589i | −0.452693 | − | 0.891666i | \(-0.649537\pi\) |
0.708135 | + | 0.706077i | \(0.249537\pi\) | |||||||
\(878\) | 7.78137 | − | 3.55071i | 0.262609 | − | 0.119831i | ||||
\(879\) | −24.4369 | + | 33.6345i | −0.824237 | + | 1.13446i | ||||
\(880\) | −23.4734 | + | 26.6351i | −0.791287 | + | 0.897868i | ||||
\(881\) | −4.87723 | + | 30.7936i | −0.164318 | + | 1.03746i | 0.758345 | + | 0.651854i | \(0.226009\pi\) |
−0.922662 | + | 0.385609i | \(0.873991\pi\) | |||||||
\(882\) | −19.8682 | + | 3.87192i | −0.668997 | + | 0.130374i | ||||
\(883\) | 10.4586 | − | 17.0670i | 0.351961 | − | 0.574349i | −0.626843 | − | 0.779145i | \(-0.715653\pi\) |
0.978805 | + | 0.204797i | \(0.0656533\pi\) | |||||||
\(884\) | −0.390723 | − | 5.51126i | −0.0131414 | − | 0.185364i | ||||
\(885\) | 27.8950 | − | 2.19539i | 0.937681 | − | 0.0737971i | ||||
\(886\) | −4.36419 | + | 6.47691i | −0.146618 | + | 0.217596i | ||||
\(887\) | −22.5997 | + | 19.3020i | −0.758825 | + | 0.648098i | −0.942240 | − | 0.334938i | \(-0.891285\pi\) |
0.183415 | + | 0.983036i | \(0.441285\pi\) | |||||||
\(888\) | 2.93371 | − | 22.5354i | 0.0984487 | − | 0.756239i | ||||
\(889\) | −19.0622 | + | 11.6813i | −0.639327 | + | 0.391780i | ||||
\(890\) | 5.14186 | + | 18.5063i | 0.172356 | + | 0.620333i | ||||
\(891\) | −16.9336 | − | 14.4626i | −0.567296 | − | 0.484517i | ||||
\(892\) | −13.6735 | − | 33.7493i | −0.457821 | − | 1.13001i | ||||
\(893\) | 0.00877334 | − | 0.00877334i | 0.000293589 | − | 0.000293589i | ||||
\(894\) | −39.8339 | + | 42.7580i | −1.33225 | + | 1.43004i | ||||
\(895\) | 51.4191 | − | 12.3446i | 1.71875 | − | 0.412635i | ||||
\(896\) | −24.9535 | − | 33.4859i | −0.833637 | − | 1.11868i | ||||
\(897\) | 9.88688 | + | 5.03762i | 0.330113 | + | 0.168201i | ||||
\(898\) | 4.98187 | + | 6.37017i | 0.166247 | + | 0.212575i | ||||
\(899\) | 38.8783 | + | 16.1039i | 1.29667 | + | 0.537096i | ||||
\(900\) | 44.3086 | + | 38.4420i | 1.47695 | + | 1.28140i | ||||
\(901\) | 1.66977i | 0.0556280i | ||||||||
\(902\) | −9.11650 | + | 16.2679i | −0.303546 | + | 0.541661i | ||||
\(903\) | 39.6466i | 1.31936i | ||||||||
\(904\) | 4.73558 | − | 12.3901i | 0.157503 | − | 0.412089i | ||||
\(905\) | 50.5160 | + | 20.9244i | 1.67921 | + | 0.695551i | ||||
\(906\) | 23.2450 | − | 18.1790i | 0.772262 | − | 0.603957i | ||||
\(907\) | 22.8468 | + | 11.6410i | 0.758614 | + | 0.386533i | 0.790106 | − | 0.612971i | \(-0.210026\pi\) |
−0.0314913 | + | 0.999504i | \(0.510026\pi\) | |||||||
\(908\) | −11.3024 | − | 22.6145i | −0.375083 | − | 0.750489i | ||||
\(909\) | 29.1491 | − | 6.99809i | 0.966816 | − | 0.232112i | ||||
\(910\) | −16.9911 | − | 15.8291i | −0.563249 | − | 0.524731i | ||||
\(911\) | −10.0980 | + | 10.0980i | −0.334562 | + | 0.334562i | −0.854316 | − | 0.519754i | \(-0.826024\pi\) |
0.519754 | + | 0.854316i | \(0.326024\pi\) | |||||||
\(912\) | −0.144389 | − | 0.0764162i | −0.00478119 | − | 0.00253039i | ||||
\(913\) | 23.3015 | + | 19.9014i | 0.771168 | + | 0.658640i | ||||
\(914\) | 33.5145 | − | 9.31180i | 1.10856 | − | 0.308007i | ||||
\(915\) | −1.67870 | + | 1.02871i | −0.0554962 | + | 0.0340081i | ||||
\(916\) | 19.9470 | − | 38.4081i | 0.659067 | − | 1.26904i | ||||
\(917\) | 36.5742 | − | 31.2373i | 1.20779 | − | 1.03155i | ||||
\(918\) | 5.98603 | + | 4.03343i | 0.197568 | + | 0.133123i | ||||
\(919\) | −47.5244 | + | 3.74025i | −1.56769 | + | 0.123380i | −0.832322 | − | 0.554293i | \(-0.812989\pi\) |
−0.735364 | + | 0.677672i | \(0.762989\pi\) | |||||||
\(920\) | 23.5406 | + | 52.6679i | 0.776109 | + | 1.73641i | ||||
\(921\) | 17.9763 | − | 29.3347i | 0.592339 | − | 0.966610i | ||||
\(922\) | 5.48315 | + | 28.1360i | 0.180578 | + | 0.926608i | ||||
\(923\) | −0.327305 | + | 2.06652i | −0.0107734 | + | 0.0680204i | ||||
\(924\) | −5.13767 | − | 34.1518i | −0.169017 | − | 1.12351i | ||||
\(925\) | 28.2224 | − | 38.8448i | 0.927946 | − | 1.27721i | ||||
\(926\) | −1.22050 | − | 2.67473i | −0.0401081 | − | 0.0878970i | ||||
\(927\) | 5.36817 | − | 3.90020i | 0.176314 | − | 0.128099i | ||||
\(928\) | −15.8874 | + | 19.3679i | −0.521530 | + | 0.635782i | ||||
\(929\) | −12.5384 | − | 30.2704i | −0.411372 | − | 0.993140i | −0.984770 | − | 0.173863i | \(-0.944375\pi\) |
0.573398 | − | 0.819277i | \(-0.305625\pi\) | |||||||
\(930\) | −81.8596 | + | 103.014i | −2.68428 | + | 3.37795i | ||||
\(931\) | 0.118736 | + | 0.00934470i | 0.00389140 | + | 0.000306260i | ||||
\(932\) | 0.121565 | − | 15.6595i | 0.00398198 | − | 0.512945i | ||||
\(933\) | −67.2194 | − | 21.8409i | −2.20066 | − | 0.715039i | ||||
\(934\) | −24.9946 | − | 11.6405i | −0.817848 | − | 0.380889i | ||||
\(935\) | 21.1661 | − | 10.7846i | 0.692204 | − | 0.352696i | ||||
\(936\) | −6.05032 | − | 1.78268i | −0.197761 | − | 0.0582686i | ||||
\(937\) | 2.72851 | − | 11.3651i | 0.0891365 | − | 0.371280i | −0.909916 | − | 0.414792i | \(-0.863854\pi\) |
0.999053 | + | 0.0435113i | \(0.0138545\pi\) | |||||||
\(938\) | −53.4523 | − | 6.53697i | −1.74528 | − | 0.213440i | ||||
\(939\) | 12.2375 | − | 3.97621i | 0.399357 | − | 0.129759i | ||||
\(940\) | 5.67178 | − | 1.79432i | 0.184993 | − | 0.0585242i | ||||
\(941\) | 3.90593 | + | 24.6611i | 0.127330 | + | 0.803928i | 0.965858 | + | 0.259071i | \(0.0834163\pi\) |
−0.838529 | + | 0.544858i | \(0.816584\pi\) | |||||||
\(942\) | −52.1378 | + | 19.0051i | −1.69874 | + | 0.619218i | ||||
\(943\) | 17.8993 | + | 24.4507i | 0.582880 | + | 0.796225i | ||||
\(944\) | −11.2618 | − | 1.96339i | −0.366542 | − | 0.0639029i | ||||
\(945\) | 29.9642 | − | 4.74586i | 0.974736 | − | 0.154383i | ||||
\(946\) | −13.7573 | − | 0.594014i | −0.447288 | − | 0.0193131i | ||||
\(947\) | −15.9068 | − | 48.9561i | −0.516902 | − | 1.59086i | −0.779795 | − | 0.626035i | \(-0.784677\pi\) |
0.262893 | − | 0.964825i | \(-0.415323\pi\) | |||||||
\(948\) | 2.16837 | + | 9.35113i | 0.0704255 | + | 0.303711i | ||||
\(949\) | −4.74078 | − | 1.13816i | −0.153892 | − | 0.0369462i | ||||
\(950\) | −0.190643 | − | 0.287728i | −0.00618526 | − | 0.00933514i | ||||
\(951\) | 6.72366 | + | 13.1959i | 0.218030 | + | 0.427907i | ||||
\(952\) | 7.27117 | + | 26.9803i | 0.235660 | + | 0.874436i | ||||
\(953\) | 11.1507 | − | 34.3183i | 0.361207 | − | 1.11168i | −0.591116 | − | 0.806587i | \(-0.701312\pi\) |
0.952322 | − | 0.305093i | \(-0.0986877\pi\) | |||||||
\(954\) | 1.78582 | + | 0.666711i | 0.0578181 | + | 0.0215856i | ||||
\(955\) | 1.74556 | − | 22.1794i | 0.0564849 | − | 0.717709i | ||||
\(956\) | −13.7747 | + | 41.3006i | −0.445507 | + | 1.33576i | ||||
\(957\) | −19.1396 | + | 7.92788i | −0.618696 | + | 0.256272i | ||||
\(958\) | 6.75844 | + | 3.81944i | 0.218355 | + | 0.123401i | ||||
\(959\) | 3.98727 | + | 5.48800i | 0.128756 | + | 0.177217i | ||||
\(960\) | −44.5509 | − | 64.4221i | −1.43787 | − | 2.07921i | ||||
\(961\) | −47.9774 | − | 34.8576i | −1.54766 | − | 1.12444i | ||||
\(962\) | −1.02686 | + | 5.05966i | −0.0331073 | + | 0.163130i | ||||
\(963\) | −25.7183 | − | 4.07337i | −0.828759 | − | 0.131263i | ||||
\(964\) | −3.81813 | + | 2.29918i | −0.122974 | + | 0.0740515i | ||||
\(965\) | 36.7417 | + | 22.5153i | 1.18276 | + | 0.724794i | ||||
\(966\) | −53.9525 | − | 15.4425i | −1.73589 | − | 0.496854i | ||||
\(967\) | −3.06057 | − | 38.8882i | −0.0984212 | − | 1.25056i | −0.825657 | − | 0.564173i | \(-0.809195\pi\) |
0.727236 | − | 0.686388i | \(-0.240805\pi\) | |||||||
\(968\) | −19.0100 | + | 2.02582i | −0.611003 | + | 0.0651123i | ||||
\(969\) | 0.0709904 | + | 0.0831190i | 0.00228054 | + | 0.00267017i | ||||
\(970\) | −11.7221 | − | 12.7800i | −0.376373 | − | 0.410342i | ||||
\(971\) | −5.17664 | − | 8.44750i | −0.166126 | − | 0.271093i | 0.758734 | − | 0.651401i | \(-0.225818\pi\) |
−0.924860 | + | 0.380307i | \(0.875818\pi\) | |||||||
\(972\) | 30.6618 | − | 21.9154i | 0.983476 | − | 0.702938i | ||||
\(973\) | −13.4777 | + | 15.7804i | −0.432075 | + | 0.505895i | ||||
\(974\) | −1.32013 | − | 37.2885i | −0.0422998 | − | 1.19480i | ||||
\(975\) | −22.5079 | − | 22.5079i | −0.720828 | − | 0.720828i | ||||
\(976\) | 0.768760 | − | 0.236655i | 0.0246074 | − | 0.00757513i | ||||
\(977\) | 4.59519 | + | 19.1403i | 0.147013 | + | 0.612354i | 0.996414 | + | 0.0846062i | \(0.0269632\pi\) |
−0.849401 | + | 0.527747i | \(0.823037\pi\) | |||||||
\(978\) | 0.948209 | + | 8.28682i | 0.0303204 | + | 0.264983i | ||||
\(979\) | 2.94618 | − | 5.78221i | 0.0941604 | − | 0.184800i | ||||
\(980\) | 48.4570 | + | 30.2144i | 1.54790 | + | 0.965163i | ||||
\(981\) | 9.37592 | − | 22.6355i | 0.299350 | − | 0.722695i | ||||
\(982\) | 34.5917 | − | 19.1963i | 1.10386 | − | 0.612577i | ||||
\(983\) | −18.4369 | −0.588047 | −0.294024 | − | 0.955798i | \(-0.594994\pi\) | ||||
−0.294024 | + | 0.955798i | \(0.594994\pi\) | |||||||
\(984\) | −29.9858 | − | 28.1693i | −0.955911 | − | 0.898006i | ||||
\(985\) | 33.7002 | 1.07378 | ||||||||
\(986\) | 14.6561 | − | 8.13326i | 0.466746 | − | 0.259016i | ||||
\(987\) | −2.21455 | + | 5.34640i | −0.0704900 | + | 0.170178i | ||||
\(988\) | 0.0314925 | + | 0.0196365i | 0.00100191 | + | 0.000624721i | ||||
\(989\) | −10.1583 | + | 19.9368i | −0.323016 | + | 0.633954i | ||||
\(990\) | −3.08296 | − | 26.9433i | −0.0979828 | − | 0.856315i | ||||
\(991\) | 7.14384 | + | 29.7562i | 0.226931 | + | 0.945237i | 0.963251 | + | 0.268603i | \(0.0865621\pi\) |
−0.736319 | + | 0.676634i | \(0.763438\pi\) | |||||||
\(992\) | 42.8534 | − | 32.4545i | 1.36060 | − | 1.03043i | ||||
\(993\) | −0.161525 | − | 0.161525i | −0.00512584 | − | 0.00512584i | ||||
\(994\) | −0.374389 | − | 10.5750i | −0.0118749 | − | 0.335418i | ||||
\(995\) | 43.6364 | − | 51.0917i | 1.38337 | − | 1.61971i | ||||
\(996\) | −55.0015 | + | 39.3122i | −1.74279 | + | 1.24565i | ||||
\(997\) | 0.578235 | + | 0.943594i | 0.0183129 | + | 0.0298839i | 0.861666 | − | 0.507476i | \(-0.169422\pi\) |
−0.843353 | + | 0.537360i | \(0.819422\pi\) | |||||||
\(998\) | 20.7273 | + | 22.5980i | 0.656112 | + | 0.715328i | ||||
\(999\) | −4.38041 | − | 5.12880i | −0.138590 | − | 0.162268i |
(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 | 164.2.o.b.11.3 | yes | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.11.1 | ✓ | 288 | |
41.15 | odd | 40 | inner | 164.2.o.b.15.1 | yes | 288 | |
164.15 | even | 40 | inner | 164.2.o.b.15.3 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.11.1 | ✓ | 288 | 4.3 | odd | 2 | inner | |
164.2.o.b.11.3 | yes | 288 | 1.1 | even | 1 | trivial | |
164.2.o.b.15.1 | yes | 288 | 41.15 | odd | 40 | inner | |
164.2.o.b.15.3 | yes | 288 | 164.15 | even | 40 | inner |