Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,3,Mod(61,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 0, 10]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.61");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bv (of order \(12\), degree \(4\), 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: | \(9.15533688251\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 325.39 | ||
Character | \(\chi\) | \(=\) | 336.325 |
Dual form | 336.3.bv.a.61.39 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.682388 | − | 1.87999i | 0.341194 | − | 0.939993i | ||||
\(3\) | −1.67303 | + | 0.448288i | −0.557678 | + | 0.149429i | ||||
\(4\) | −3.06869 | − | 2.56576i | −0.767174 | − | 0.641440i | ||||
\(5\) | −5.43160 | − | 1.45539i | −1.08632 | − | 0.291079i | −0.329138 | − | 0.944282i | \(-0.606758\pi\) |
−0.757183 | + | 0.653203i | \(0.773425\pi\) | |||||||
\(6\) | −0.298882 | + | 3.45118i | −0.0498137 | + | 0.575197i | ||||
\(7\) | 3.99510 | + | 5.74797i | 0.570729 | + | 0.821139i | ||||
\(8\) | −6.91763 | + | 4.01826i | −0.864704 | + | 0.502282i | ||||
\(9\) | 2.59808 | − | 1.50000i | 0.288675 | − | 0.166667i | ||||
\(10\) | −6.44258 | + | 9.21819i | −0.644258 | + | 0.921819i | ||||
\(11\) | −0.217255 | + | 0.0582132i | −0.0197504 | + | 0.00529211i | −0.268681 | − | 0.963229i | \(-0.586588\pi\) |
0.248930 | + | 0.968521i | \(0.419921\pi\) | |||||||
\(12\) | 6.28422 | + | 2.91694i | 0.523685 | + | 0.243078i | ||||
\(13\) | −6.38974 | − | 6.38974i | −0.491518 | − | 0.491518i | 0.417266 | − | 0.908784i | \(-0.362988\pi\) |
−0.908784 | + | 0.417266i | \(0.862988\pi\) | |||||||
\(14\) | 13.5323 | − | 3.58839i | 0.966594 | − | 0.256313i | ||||
\(15\) | 9.73968 | 0.649312 | ||||||||
\(16\) | 2.83377 | + | 15.7471i | 0.177110 | + | 0.984191i | ||||
\(17\) | 27.4518 | + | 15.8493i | 1.61481 | + | 0.932313i | 0.988233 | + | 0.152958i | \(0.0488798\pi\) |
0.626582 | + | 0.779356i | \(0.284454\pi\) | |||||||
\(18\) | −1.04708 | − | 5.90793i | −0.0581713 | − | 0.328218i | ||||
\(19\) | −6.66067 | + | 24.8579i | −0.350561 | + | 1.30831i | 0.535418 | + | 0.844587i | \(0.320154\pi\) |
−0.885979 | + | 0.463725i | \(0.846512\pi\) | |||||||
\(20\) | 12.9337 | + | 18.4023i | 0.646687 | + | 0.920117i | ||||
\(21\) | −9.26068 | − | 7.82559i | −0.440985 | − | 0.372647i | ||||
\(22\) | −0.0388119 | + | 0.448159i | −0.00176418 | + | 0.0203709i | ||||
\(23\) | 12.6487 | − | 7.30273i | 0.549943 | − | 0.317510i | −0.199156 | − | 0.979968i | \(-0.563820\pi\) |
0.749099 | + | 0.662458i | \(0.230487\pi\) | |||||||
\(24\) | 9.77208 | − | 9.82377i | 0.407170 | − | 0.409324i | ||||
\(25\) | 5.73350 | + | 3.31024i | 0.229340 | + | 0.132409i | ||||
\(26\) | −16.3729 | + | 7.65234i | −0.629727 | + | 0.294321i | ||||
\(27\) | −3.67423 | + | 3.67423i | −0.136083 | + | 0.136083i | ||||
\(28\) | 2.48816 | − | 27.8892i | 0.0888630 | − | 0.996044i | ||||
\(29\) | 21.2144 | − | 21.2144i | 0.731530 | − | 0.731530i | −0.239393 | − | 0.970923i | \(-0.576948\pi\) |
0.970923 | + | 0.239393i | \(0.0769484\pi\) | |||||||
\(30\) | 6.64624 | − | 18.3105i | 0.221541 | − | 0.610349i | ||||
\(31\) | 31.3113 | + | 18.0776i | 1.01004 | + | 0.583148i | 0.911204 | − | 0.411955i | \(-0.135154\pi\) |
0.0988381 | + | 0.995104i | \(0.468487\pi\) | |||||||
\(32\) | 31.5380 | + | 5.41815i | 0.985562 | + | 0.169317i | ||||
\(33\) | 0.337378 | − | 0.194785i | 0.0102236 | − | 0.00590258i | ||||
\(34\) | 48.5293 | − | 40.7937i | 1.42733 | − | 1.19981i | ||||
\(35\) | −13.3342 | − | 37.0351i | −0.380978 | − | 1.05815i | ||||
\(36\) | −11.8213 | − | 2.06299i | −0.328371 | − | 0.0573054i | ||||
\(37\) | −13.0802 | + | 48.8160i | −0.353519 | + | 1.31935i | 0.528818 | + | 0.848735i | \(0.322635\pi\) |
−0.882338 | + | 0.470617i | \(0.844031\pi\) | |||||||
\(38\) | 42.1874 | + | 29.4847i | 1.11020 | + | 0.775913i | ||||
\(39\) | 13.5547 | + | 7.82580i | 0.347556 | + | 0.200662i | ||||
\(40\) | 43.4220 | − | 11.7577i | 1.08555 | − | 0.293943i | ||||
\(41\) | −52.6739 | −1.28473 | −0.642365 | − | 0.766399i | \(-0.722046\pi\) | ||||
−0.642365 | + | 0.766399i | \(0.722046\pi\) | |||||||
\(42\) | −21.0314 | + | 12.0699i | −0.500747 | + | 0.287378i | ||||
\(43\) | 18.6117 | + | 18.6117i | 0.432831 | + | 0.432831i | 0.889590 | − | 0.456759i | \(-0.150990\pi\) |
−0.456759 | + | 0.889590i | \(0.650990\pi\) | |||||||
\(44\) | 0.816049 | + | 0.378784i | 0.0185466 | + | 0.00860873i | ||||
\(45\) | −16.2948 | + | 4.36618i | −0.362107 | + | 0.0970262i | ||||
\(46\) | −5.09771 | − | 28.7627i | −0.110820 | − | 0.625275i | ||||
\(47\) | 6.34972 | − | 3.66601i | 0.135100 | − | 0.0780003i | −0.430926 | − | 0.902387i | \(-0.641813\pi\) |
0.566027 | + | 0.824387i | \(0.308480\pi\) | |||||||
\(48\) | −11.8002 | − | 25.0750i | −0.245837 | − | 0.522396i | ||||
\(49\) | −17.0783 | + | 45.9274i | −0.348538 | + | 0.937295i | ||||
\(50\) | 10.1357 | − | 8.52003i | 0.202713 | − | 0.170401i | ||||
\(51\) | −53.0329 | − | 14.2101i | −1.03986 | − | 0.278630i | ||||
\(52\) | 3.21363 | + | 36.0027i | 0.0618005 | + | 0.692359i | ||||
\(53\) | −32.3244 | + | 8.66131i | −0.609895 | + | 0.163421i | −0.550530 | − | 0.834815i | \(-0.685574\pi\) |
−0.0593651 | + | 0.998236i | \(0.518908\pi\) | |||||||
\(54\) | 4.40026 | + | 9.41476i | 0.0814862 | + | 0.174347i | ||||
\(55\) | 1.26476 | 0.0229957 | ||||||||
\(56\) | −50.7335 | − | 23.7090i | −0.905955 | − | 0.423375i | ||||
\(57\) | − | 44.5740i | − | 0.782001i | ||||||
\(58\) | −25.4063 | − | 54.3591i | −0.438039 | − | 0.937226i | ||||
\(59\) | 13.9373 | + | 52.0148i | 0.236226 | + | 0.881607i | 0.977592 | + | 0.210507i | \(0.0675114\pi\) |
−0.741367 | + | 0.671100i | \(0.765822\pi\) | |||||||
\(60\) | −29.8881 | − | 24.9897i | −0.498135 | − | 0.416495i | ||||
\(61\) | −26.4297 | + | 98.6370i | −0.433274 | + | 1.61700i | 0.311890 | + | 0.950118i | \(0.399038\pi\) |
−0.745163 | + | 0.666882i | \(0.767629\pi\) | |||||||
\(62\) | 55.3521 | − | 46.5289i | 0.892775 | − | 0.750466i | ||||
\(63\) | 19.0015 | + | 8.94102i | 0.301612 | + | 0.141921i | ||||
\(64\) | 31.7072 | − | 55.5937i | 0.495425 | − | 0.868651i | ||||
\(65\) | 25.4069 | + | 44.0061i | 0.390876 | + | 0.677017i | ||||
\(66\) | −0.135971 | − | 0.767184i | −0.00206016 | − | 0.0116240i | ||||
\(67\) | −29.2081 | − | 109.006i | −0.435941 | − | 1.62696i | −0.738803 | − | 0.673921i | \(-0.764609\pi\) |
0.302862 | − | 0.953035i | \(-0.402058\pi\) | |||||||
\(68\) | −43.5758 | − | 119.072i | −0.640820 | − | 1.75105i | ||||
\(69\) | −17.8880 | + | 17.8880i | −0.259246 | + | 0.259246i | ||||
\(70\) | −78.7247 | − | 0.204140i | −1.12464 | − | 0.00291629i | ||||
\(71\) | − | 54.0413i | − | 0.761145i | −0.924751 | − | 0.380573i | \(-0.875727\pi\) | ||
0.924751 | − | 0.380573i | \(-0.124273\pi\) | |||||||
\(72\) | −11.9451 | + | 20.8162i | −0.165905 | + | 0.289114i | ||||
\(73\) | −71.4567 | + | 123.767i | −0.978858 | + | 1.69543i | −0.312293 | + | 0.949986i | \(0.601097\pi\) |
−0.666566 | + | 0.745446i | \(0.732236\pi\) | |||||||
\(74\) | 82.8477 | + | 57.9021i | 1.11956 | + | 0.782460i | ||||
\(75\) | −11.0763 | − | 2.96788i | −0.147684 | − | 0.0395717i | ||||
\(76\) | 84.2190 | − | 59.1918i | 1.10814 | − | 0.778839i | ||||
\(77\) | −1.20256 | − | 1.01621i | −0.0156177 | − | 0.0131975i | ||||
\(78\) | 23.9619 | − | 20.1424i | 0.307204 | − | 0.258236i | ||||
\(79\) | 34.1574 | + | 59.1624i | 0.432372 | + | 0.748891i | 0.997077 | − | 0.0764020i | \(-0.0243432\pi\) |
−0.564705 | + | 0.825293i | \(0.691010\pi\) | |||||||
\(80\) | 7.52626 | − | 89.6560i | 0.0940783 | − | 1.12070i | ||||
\(81\) | 4.50000 | − | 7.79423i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | −35.9440 | + | 99.0262i | −0.438342 | + | 1.20764i | ||||
\(83\) | 65.3100 | + | 65.3100i | 0.786867 | + | 0.786867i | 0.980979 | − | 0.194112i | \(-0.0621825\pi\) |
−0.194112 | + | 0.980979i | \(0.562183\pi\) | |||||||
\(84\) | 8.33962 | + | 47.7750i | 0.0992812 | + | 0.568750i | ||||
\(85\) | −126.040 | − | 126.040i | −1.48283 | − | 1.48283i | ||||
\(86\) | 47.6902 | − | 22.2894i | 0.554537 | − | 0.259179i | ||||
\(87\) | −25.9822 | + | 45.0025i | −0.298646 | + | 0.517270i | ||||
\(88\) | 1.26897 | − | 1.27568i | 0.0144201 | − | 0.0144964i | ||||
\(89\) | 31.3467 | + | 54.2940i | 0.352210 | + | 0.610045i | 0.986636 | − | 0.162938i | \(-0.0520971\pi\) |
−0.634427 | + | 0.772983i | \(0.718764\pi\) | |||||||
\(90\) | −2.91102 | + | 33.6134i | −0.0323446 | + | 0.373483i | ||||
\(91\) | 11.2004 | − | 62.2557i | 0.123081 | − | 0.684128i | ||||
\(92\) | −57.5520 | − | 10.0437i | −0.625565 | − | 0.109170i | ||||
\(93\) | −60.4888 | − | 16.2079i | −0.650417 | − | 0.174279i | ||||
\(94\) | −2.55908 | − | 14.4390i | −0.0272243 | − | 0.153607i | ||||
\(95\) | 72.3562 | − | 125.325i | 0.761644 | − | 1.31921i | ||||
\(96\) | −55.1929 | + | 5.07334i | −0.574927 | + | 0.0528473i | ||||
\(97\) | 37.0194i | 0.381643i | 0.981625 | + | 0.190822i | \(0.0611152\pi\) | ||||
−0.981625 | + | 0.190822i | \(0.938885\pi\) | |||||||
\(98\) | 74.6889 | + | 63.4474i | 0.762132 | + | 0.647422i | ||||
\(99\) | −0.477124 | + | 0.477124i | −0.00481944 | + | 0.00481944i | ||||
\(100\) | −9.10109 | − | 24.8689i | −0.0910109 | − | 0.248689i | ||||
\(101\) | −46.5756 | − | 173.822i | −0.461144 | − | 1.72101i | −0.669366 | − | 0.742933i | \(-0.733434\pi\) |
0.208222 | − | 0.978082i | \(-0.433232\pi\) | |||||||
\(102\) | −62.9038 | + | 90.0043i | −0.616704 | + | 0.882395i | ||||
\(103\) | −64.3530 | − | 111.463i | −0.624786 | − | 1.08216i | −0.988582 | − | 0.150683i | \(-0.951853\pi\) |
0.363796 | − | 0.931479i | \(-0.381481\pi\) | |||||||
\(104\) | 69.8775 | + | 18.5262i | 0.671899 | + | 0.178137i | ||||
\(105\) | 38.9110 | + | 55.9834i | 0.370581 | + | 0.533175i | ||||
\(106\) | −5.77466 | + | 66.6798i | −0.0544779 | + | 0.629055i | ||||
\(107\) | 9.07602 | − | 33.8722i | 0.0848226 | − | 0.316562i | −0.910458 | − | 0.413602i | \(-0.864271\pi\) |
0.995281 | + | 0.0970395i | \(0.0309373\pi\) | |||||||
\(108\) | 20.7023 | − | 1.84790i | 0.191688 | − | 0.0171102i | ||||
\(109\) | 13.0283 | + | 48.6222i | 0.119525 | + | 0.446075i | 0.999586 | − | 0.0287872i | \(-0.00916451\pi\) |
−0.880060 | + | 0.474862i | \(0.842498\pi\) | |||||||
\(110\) | 0.863059 | − | 2.37774i | 0.00784599 | − | 0.0216158i | ||||
\(111\) | − | 87.5345i | − | 0.788599i | ||||||
\(112\) | −79.1924 | + | 79.1995i | −0.707075 | + | 0.707138i | ||||
\(113\) | 30.8100 | 0.272655 | 0.136327 | − | 0.990664i | \(-0.456470\pi\) | ||||
0.136327 | + | 0.990664i | \(0.456470\pi\) | |||||||
\(114\) | −83.7986 | − | 30.4168i | −0.735075 | − | 0.266814i | ||||
\(115\) | −79.3310 | + | 21.2567i | −0.689835 | + | 0.184841i | ||||
\(116\) | −119.531 | + | 10.6695i | −1.03044 | + | 0.0919781i | ||||
\(117\) | −26.1856 | − | 7.01642i | −0.223809 | − | 0.0599694i | ||||
\(118\) | 107.298 | + | 9.29229i | 0.909303 | + | 0.0787482i | ||||
\(119\) | 18.5714 | + | 221.112i | 0.156062 | + | 1.85808i | ||||
\(120\) | −67.3755 | + | 39.1366i | −0.561463 | + | 0.326138i | ||||
\(121\) | −104.745 | + | 60.4747i | −0.865663 | + | 0.499791i | ||||
\(122\) | 167.401 | + | 116.996i | 1.37214 | + | 0.958985i | ||||
\(123\) | 88.1251 | − | 23.6131i | 0.716465 | − | 0.191976i | ||||
\(124\) | −49.7021 | − | 135.812i | −0.400823 | − | 1.09526i | ||||
\(125\) | 73.0808 | + | 73.0808i | 0.584647 | + | 0.584647i | ||||
\(126\) | 29.7754 | − | 29.6214i | 0.236313 | − | 0.235090i | ||||
\(127\) | 48.2386 | 0.379831 | 0.189916 | − | 0.981800i | \(-0.439179\pi\) | ||||
0.189916 | + | 0.981800i | \(0.439179\pi\) | |||||||
\(128\) | −82.8787 | − | 97.5455i | −0.647490 | − | 0.762074i | ||||
\(129\) | −39.4814 | − | 22.7946i | −0.306058 | − | 0.176703i | ||||
\(130\) | 100.068 | − | 17.7355i | 0.769756 | − | 0.136427i | ||||
\(131\) | −33.5871 | + | 125.349i | −0.256390 | + | 0.956860i | 0.710922 | + | 0.703271i | \(0.248278\pi\) |
−0.967312 | + | 0.253589i | \(0.918389\pi\) | |||||||
\(132\) | −1.53508 | − | 0.267894i | −0.0116294 | − | 0.00202950i | ||||
\(133\) | −169.493 | + | 61.0247i | −1.27438 | + | 0.458832i | ||||
\(134\) | −224.861 | − | 19.4736i | −1.67807 | − | 0.145325i | ||||
\(135\) | 25.3044 | − | 14.6095i | 0.187440 | − | 0.108219i | ||||
\(136\) | −253.588 | + | 0.668864i | −1.86462 | + | 0.00491812i | ||||
\(137\) | −11.7566 | − | 6.78766i | −0.0858144 | − | 0.0495450i | 0.456479 | − | 0.889734i | \(-0.349110\pi\) |
−0.542293 | + | 0.840189i | \(0.682444\pi\) | |||||||
\(138\) | 21.4226 | + | 45.8356i | 0.155236 | + | 0.332142i | ||||
\(139\) | −36.6458 | + | 36.6458i | −0.263639 | + | 0.263639i | −0.826531 | − | 0.562892i | \(-0.809689\pi\) |
0.562892 | + | 0.826531i | \(0.309689\pi\) | |||||||
\(140\) | −54.1045 | + | 147.862i | −0.386461 | + | 1.05616i | ||||
\(141\) | −8.97986 | + | 8.97986i | −0.0636870 | + | 0.0636870i | ||||
\(142\) | −101.597 | − | 36.8771i | −0.715471 | − | 0.259698i | ||||
\(143\) | 1.76017 | + | 1.01623i | 0.0123089 | + | 0.00710652i | ||||
\(144\) | 30.9829 | + | 36.6614i | 0.215159 | + | 0.254593i | ||||
\(145\) | −146.103 | + | 84.3527i | −1.00761 | + | 0.581743i | ||||
\(146\) | 183.918 | + | 218.794i | 1.25971 | + | 1.49859i | ||||
\(147\) | 7.98391 | − | 84.4941i | 0.0543123 | − | 0.574790i | ||||
\(148\) | 165.389 | − | 116.241i | 1.11750 | − | 0.785411i | ||||
\(149\) | 4.21037 | − | 15.7133i | 0.0282575 | − | 0.105458i | −0.950357 | − | 0.311162i | \(-0.899282\pi\) |
0.978614 | + | 0.205704i | \(0.0659484\pi\) | |||||||
\(150\) | −13.1379 | + | 18.7980i | −0.0875858 | + | 0.125320i | ||||
\(151\) | 81.6294 | + | 47.1288i | 0.540592 | + | 0.312111i | 0.745319 | − | 0.666708i | \(-0.232297\pi\) |
−0.204727 | + | 0.978819i | \(0.565631\pi\) | |||||||
\(152\) | −53.8097 | − | 198.722i | −0.354011 | − | 1.30738i | ||||
\(153\) | 95.0960 | 0.621542 | ||||||||
\(154\) | −2.73106 | + | 1.56735i | −0.0177342 | + | 0.0101776i | ||||
\(155\) | −143.761 | − | 143.761i | −0.927487 | − | 0.927487i | ||||
\(156\) | −21.5161 | − | 58.7930i | −0.137923 | − | 0.376878i | ||||
\(157\) | 176.242 | − | 47.2240i | 1.12256 | − | 0.300790i | 0.350642 | − | 0.936509i | \(-0.385963\pi\) |
0.771920 | + | 0.635720i | \(0.219297\pi\) | |||||||
\(158\) | 134.533 | − | 23.8438i | 0.851475 | − | 0.150910i | ||||
\(159\) | 50.1971 | − | 28.9813i | 0.315705 | − | 0.182272i | ||||
\(160\) | −163.416 | − | 75.3294i | −1.02135 | − | 0.470809i | ||||
\(161\) | 92.5087 | + | 43.5292i | 0.574588 | + | 0.270368i | ||||
\(162\) | −11.5823 | − | 13.7786i | −0.0714957 | − | 0.0850532i | ||||
\(163\) | 102.638 | + | 27.5018i | 0.629682 | + | 0.168723i | 0.559525 | − | 0.828813i | \(-0.310983\pi\) |
0.0701567 | + | 0.997536i | \(0.477650\pi\) | |||||||
\(164\) | 161.640 | + | 135.148i | 0.985610 | + | 0.824076i | ||||
\(165\) | −2.11599 | + | 0.566978i | −0.0128242 | + | 0.00343623i | ||||
\(166\) | 167.349 | − | 78.2151i | 1.00812 | − | 0.471176i | ||||
\(167\) | −26.7647 | −0.160268 | −0.0801340 | − | 0.996784i | \(-0.525535\pi\) | ||||
−0.0801340 | + | 0.996784i | \(0.525535\pi\) | |||||||
\(168\) | 95.5072 | + | 16.9227i | 0.568495 | + | 0.100730i | ||||
\(169\) | − | 87.3425i | − | 0.516819i | ||||||
\(170\) | −322.963 | + | 150.946i | −1.89978 | + | 0.887917i | ||||
\(171\) | 19.9820 | + | 74.5738i | 0.116854 | + | 0.436104i | ||||
\(172\) | −9.36051 | − | 104.867i | −0.0544215 | − | 0.609691i | ||||
\(173\) | 22.1590 | − | 82.6984i | 0.128086 | − | 0.478025i | −0.871844 | − | 0.489783i | \(-0.837076\pi\) |
0.999931 | + | 0.0117577i | \(0.00374268\pi\) | |||||||
\(174\) | 66.8741 | + | 79.5553i | 0.384334 | + | 0.457214i | ||||
\(175\) | 3.87876 | + | 46.1807i | 0.0221643 | + | 0.263890i | ||||
\(176\) | −1.53233 | − | 3.25616i | −0.00870645 | − | 0.0185009i | ||||
\(177\) | −46.6352 | − | 80.7745i | −0.263476 | − | 0.456353i | ||||
\(178\) | 123.463 | − | 21.8817i | 0.693610 | − | 0.122931i | ||||
\(179\) | 12.8834 | + | 48.0814i | 0.0719742 | + | 0.268611i | 0.992530 | − | 0.121999i | \(-0.0389306\pi\) |
−0.920556 | + | 0.390611i | \(0.872264\pi\) | |||||||
\(180\) | 61.2063 | + | 28.4101i | 0.340035 | + | 0.157834i | ||||
\(181\) | 163.954 | − | 163.954i | 0.905822 | − | 0.905822i | −0.0901097 | − | 0.995932i | \(-0.528722\pi\) |
0.995932 | + | 0.0901097i | \(0.0287218\pi\) | |||||||
\(182\) | −109.397 | − | 63.5391i | −0.601081 | − | 0.349116i | ||||
\(183\) | − | 176.871i | − | 0.966508i | ||||||
\(184\) | −58.1547 | + | 101.343i | −0.316058 | + | 0.550779i | ||||
\(185\) | 142.093 | − | 246.112i | 0.768071 | − | 1.33034i | ||||
\(186\) | −71.7475 | + | 102.658i | −0.385739 | + | 0.551925i | ||||
\(187\) | −6.88668 | − | 1.84528i | −0.0368272 | − | 0.00986781i | ||||
\(188\) | −28.8915 | − | 5.04198i | −0.153678 | − | 0.0268190i | ||||
\(189\) | −35.7983 | − | 6.44046i | −0.189409 | − | 0.0340765i | ||||
\(190\) | −186.233 | − | 221.549i | −0.980176 | − | 1.16604i | ||||
\(191\) | −15.2811 | − | 26.4676i | −0.0800057 | − | 0.138574i | 0.823246 | − | 0.567684i | \(-0.192161\pi\) |
−0.903252 | + | 0.429110i | \(0.858827\pi\) | |||||||
\(192\) | −28.1252 | + | 107.224i | −0.146485 | + | 0.558458i | ||||
\(193\) | 85.6657 | − | 148.377i | 0.443864 | − | 0.768794i | −0.554109 | − | 0.832444i | \(-0.686941\pi\) |
0.997972 | + | 0.0636501i | \(0.0202742\pi\) | |||||||
\(194\) | 69.5960 | + | 25.2616i | 0.358742 | + | 0.130214i | ||||
\(195\) | −62.2340 | − | 62.2340i | −0.319149 | − | 0.319149i | ||||
\(196\) | 170.247 | − | 97.1184i | 0.868607 | − | 0.495502i | ||||
\(197\) | 22.5141 | + | 22.5141i | 0.114285 | + | 0.114285i | 0.761937 | − | 0.647652i | \(-0.224249\pi\) |
−0.647652 | + | 0.761937i | \(0.724249\pi\) | |||||||
\(198\) | 0.571403 | + | 1.22257i | 0.00288587 | + | 0.00617460i | ||||
\(199\) | −2.54529 | + | 4.40857i | −0.0127904 | + | 0.0221536i | −0.872350 | − | 0.488882i | \(-0.837405\pi\) |
0.859559 | + | 0.511036i | \(0.170738\pi\) | |||||||
\(200\) | −52.9636 | + | 0.139697i | −0.264818 | + | 0.000698484i | ||||
\(201\) | 97.7321 | + | 169.277i | 0.486230 | + | 0.842174i | ||||
\(202\) | −358.566 | − | 31.0528i | −1.77508 | − | 0.153727i | ||||
\(203\) | 206.693 | + | 37.1860i | 1.01819 | + | 0.183182i | ||||
\(204\) | 126.282 | + | 179.676i | 0.619029 | + | 0.880765i | ||||
\(205\) | 286.104 | + | 76.6612i | 1.39563 | + | 0.373957i | ||||
\(206\) | −253.462 | + | 44.9220i | −1.23040 | + | 0.218068i | ||||
\(207\) | 21.9082 | − | 37.9461i | 0.105837 | − | 0.183314i | ||||
\(208\) | 82.5125 | − | 118.727i | 0.396695 | − | 0.570801i | ||||
\(209\) | − | 5.78824i | − | 0.0276949i | ||||||
\(210\) | 131.800 | − | 34.9498i | 0.627621 | − | 0.166427i | ||||
\(211\) | 47.6523 | − | 47.6523i | 0.225840 | − | 0.225840i | −0.585112 | − | 0.810952i | \(-0.698950\pi\) |
0.810952 | + | 0.585112i | \(0.198950\pi\) | |||||||
\(212\) | 121.417 | + | 56.3578i | 0.572720 | + | 0.265839i | ||||
\(213\) | 24.2261 | + | 90.4129i | 0.113737 | + | 0.424474i | ||||
\(214\) | −57.4858 | − | 40.1767i | −0.268625 | − | 0.187742i | ||||
\(215\) | −74.0041 | − | 128.179i | −0.344205 | − | 0.596181i | ||||
\(216\) | 10.6530 | − | 40.1810i | 0.0493193 | − | 0.186023i | ||||
\(217\) | 21.1823 | + | 252.198i | 0.0976145 | + | 1.16220i | ||||
\(218\) | 100.299 | + | 8.68621i | 0.460089 | + | 0.0398450i | ||||
\(219\) | 64.0663 | − | 239.099i | 0.292540 | − | 1.09177i | ||||
\(220\) | −3.88117 | − | 3.24508i | −0.0176417 | − | 0.0147504i | ||||
\(221\) | −74.1370 | − | 276.683i | −0.335462 | − | 1.25196i | ||||
\(222\) | −164.564 | − | 59.7325i | −0.741278 | − | 0.269065i | ||||
\(223\) | 26.1397i | 0.117218i | 0.998281 | + | 0.0586092i | \(0.0186666\pi\) | ||||
−0.998281 | + | 0.0586092i | \(0.981333\pi\) | |||||||
\(224\) | 94.8540 | + | 202.925i | 0.423455 | + | 0.905917i | ||||
\(225\) | 19.8614 | 0.0882730 | ||||||||
\(226\) | 21.0244 | − | 57.9224i | 0.0930281 | − | 0.256294i | ||||
\(227\) | −291.894 | + | 78.2127i | −1.28588 | + | 0.344549i | −0.836093 | − | 0.548588i | \(-0.815165\pi\) |
−0.449783 | + | 0.893138i | \(0.648499\pi\) | |||||||
\(228\) | −114.366 | + | 136.784i | −0.501606 | + | 0.599930i | ||||
\(229\) | −90.5018 | − | 24.2499i | −0.395204 | − | 0.105895i | 0.0557431 | − | 0.998445i | \(-0.482247\pi\) |
−0.450948 | + | 0.892550i | \(0.648914\pi\) | |||||||
\(230\) | −14.1722 | + | 163.647i | −0.0616185 | + | 0.711507i | ||||
\(231\) | 2.46748 | + | 1.16105i | 0.0106817 | + | 0.00502620i | ||||
\(232\) | −61.5083 | + | 231.998i | −0.265122 | + | 0.999991i | ||||
\(233\) | −295.697 | + | 170.721i | −1.26909 | + | 0.732707i | −0.974815 | − | 0.223014i | \(-0.928410\pi\) |
−0.294271 | + | 0.955722i | \(0.595077\pi\) | |||||||
\(234\) | −31.0595 | + | 44.4407i | −0.132733 | + | 0.189918i | ||||
\(235\) | −39.8247 | + | 10.6710i | −0.169467 | + | 0.0454084i | ||||
\(236\) | 90.6881 | − | 195.377i | 0.384271 | − | 0.827870i | ||||
\(237\) | −83.6683 | − | 83.6683i | −0.353031 | − | 0.353031i | ||||
\(238\) | 428.360 | + | 115.970i | 1.79983 | + | 0.487270i | ||||
\(239\) | 376.540 | 1.57548 | 0.787741 | − | 0.616007i | \(-0.211251\pi\) | ||||
0.787741 | + | 0.616007i | \(0.211251\pi\) | |||||||
\(240\) | 27.6000 | + | 153.371i | 0.115000 | + | 0.639047i | ||||
\(241\) | −222.935 | − | 128.711i | −0.925041 | − | 0.534072i | −0.0398010 | − | 0.999208i | \(-0.512672\pi\) |
−0.885240 | + | 0.465135i | \(0.846006\pi\) | |||||||
\(242\) | 42.2147 | + | 238.187i | 0.174441 | + | 0.984243i | ||||
\(243\) | −4.03459 | + | 15.0573i | −0.0166032 | + | 0.0619642i | ||||
\(244\) | 334.183 | − | 234.875i | 1.36960 | − | 0.962601i | ||||
\(245\) | 159.605 | − | 224.604i | 0.651450 | − | 0.916751i | ||||
\(246\) | 15.7433 | − | 181.787i | 0.0639971 | − | 0.738973i | ||||
\(247\) | 201.396 | − | 116.276i | 0.815367 | − | 0.470752i | ||||
\(248\) | −289.240 | + | 0.762900i | −1.16629 | + | 0.00307621i | ||||
\(249\) | −138.543 | − | 79.9881i | −0.556399 | − | 0.321237i | ||||
\(250\) | 187.260 | − | 87.5215i | 0.749042 | − | 0.350086i | ||||
\(251\) | 247.921 | − | 247.921i | 0.987731 | − | 0.987731i | −0.0121942 | − | 0.999926i | \(-0.503882\pi\) |
0.999926 | + | 0.0121942i | \(0.00388164\pi\) | |||||||
\(252\) | −35.3694 | − | 76.1906i | −0.140355 | − | 0.302344i | ||||
\(253\) | −2.32287 | + | 2.32287i | −0.00918131 | + | 0.00918131i | ||||
\(254\) | 32.9174 | − | 90.6878i | 0.129596 | − | 0.357039i | ||||
\(255\) | 267.372 | + | 154.367i | 1.04852 | + | 0.605363i | ||||
\(256\) | −239.940 | + | 89.2470i | −0.937264 | + | 0.348621i | ||||
\(257\) | 63.2957 | − | 36.5438i | 0.246287 | − | 0.142194i | −0.371776 | − | 0.928322i | \(-0.621251\pi\) |
0.618063 | + | 0.786129i | \(0.287918\pi\) | |||||||
\(258\) | −69.7952 | + | 58.6698i | −0.270524 | + | 0.227402i | ||||
\(259\) | −332.850 | + | 119.840i | −1.28513 | + | 0.462704i | ||||
\(260\) | 34.9429 | − | 200.229i | 0.134396 | − | 0.770113i | ||||
\(261\) | 23.2950 | − | 86.9381i | 0.0892528 | − | 0.333096i | ||||
\(262\) | 212.734 | + | 148.680i | 0.811963 | + | 0.567479i | ||||
\(263\) | 29.4953 | + | 17.0291i | 0.112150 | + | 0.0647496i | 0.555026 | − | 0.831833i | \(-0.312708\pi\) |
−0.442876 | + | 0.896583i | \(0.646042\pi\) | |||||||
\(264\) | −1.55116 | + | 2.70312i | −0.00587559 | + | 0.0102391i | ||||
\(265\) | 188.179 | 0.710110 | ||||||||
\(266\) | −0.934257 | + | 360.286i | −0.00351224 | + | 1.35446i | ||||
\(267\) | −76.7833 | − | 76.7833i | −0.287578 | − | 0.287578i | ||||
\(268\) | −190.052 | + | 409.447i | −0.709151 | + | 1.52779i | ||||
\(269\) | 76.7758 | − | 20.5720i | 0.285412 | − | 0.0764759i | −0.113273 | − | 0.993564i | \(-0.536133\pi\) |
0.398685 | + | 0.917088i | \(0.369467\pi\) | |||||||
\(270\) | −10.1983 | − | 57.5413i | −0.0377713 | − | 0.213116i | ||||
\(271\) | 313.145 | − | 180.794i | 1.15552 | − | 0.667137i | 0.205291 | − | 0.978701i | \(-0.434186\pi\) |
0.950225 | + | 0.311564i | \(0.100853\pi\) | |||||||
\(272\) | −171.788 | + | 477.199i | −0.631574 | + | 1.75441i | ||||
\(273\) | 9.16985 | + | 109.177i | 0.0335892 | + | 0.399915i | ||||
\(274\) | −20.7832 | + | 17.4704i | −0.0758512 | + | 0.0637605i | ||||
\(275\) | −1.43833 | − | 0.385399i | −0.00523028 | − | 0.00140145i | ||||
\(276\) | 100.789 | − | 8.99649i | 0.365177 | − | 0.0325960i | ||||
\(277\) | −414.439 | + | 111.049i | −1.49617 | + | 0.400897i | −0.911815 | − | 0.410601i | \(-0.865319\pi\) |
−0.584354 | + | 0.811499i | \(0.698652\pi\) | |||||||
\(278\) | 43.8870 | + | 93.9003i | 0.157867 | + | 0.337771i | ||||
\(279\) | 108.466 | 0.388765 | ||||||||
\(280\) | 241.058 | + | 202.615i | 0.860922 | + | 0.723625i | ||||
\(281\) | 212.095i | 0.754786i | 0.926053 | + | 0.377393i | \(0.123179\pi\) | ||||
−0.926053 | + | 0.377393i | \(0.876821\pi\) | |||||||
\(282\) | 10.7543 | + | 23.0098i | 0.0381357 | + | 0.0815949i | ||||
\(283\) | 20.4072 | + | 76.1607i | 0.0721102 | + | 0.269119i | 0.992563 | − | 0.121736i | \(-0.0388461\pi\) |
−0.920452 | + | 0.390855i | \(0.872179\pi\) | |||||||
\(284\) | −138.657 | + | 165.836i | −0.488229 | + | 0.583931i | ||||
\(285\) | −64.8728 | + | 242.108i | −0.227624 | + | 0.849503i | ||||
\(286\) | 3.11162 | − | 2.61562i | 0.0108798 | − | 0.00914554i | ||||
\(287\) | −210.438 | − | 302.768i | −0.733232 | − | 1.05494i | ||||
\(288\) | 90.0653 | − | 33.2302i | 0.312727 | − | 0.115383i | ||||
\(289\) | 357.902 | + | 619.905i | 1.23842 | + | 2.14500i | ||||
\(290\) | 58.8829 | + | 332.233i | 0.203045 | + | 1.14563i | ||||
\(291\) | −16.5953 | − | 61.9347i | −0.0570287 | − | 0.212834i | ||||
\(292\) | 536.834 | − | 196.461i | 1.83847 | − | 0.672812i | ||||
\(293\) | 61.4463 | − | 61.4463i | 0.209714 | − | 0.209714i | −0.594432 | − | 0.804146i | \(-0.702623\pi\) |
0.804146 | + | 0.594432i | \(0.202623\pi\) | |||||||
\(294\) | −153.400 | − | 72.6674i | −0.521767 | − | 0.247168i | ||||
\(295\) | − | 302.808i | − | 1.02647i | ||||||
\(296\) | −105.671 | − | 390.251i | −0.356998 | − | 1.31842i | ||||
\(297\) | 0.584355 | − | 1.01213i | 0.00196753 | − | 0.00340786i | ||||
\(298\) | −26.6677 | − | 18.6380i | −0.0894889 | − | 0.0625436i | ||||
\(299\) | −127.484 | − | 34.1593i | −0.426369 | − | 0.114245i | ||||
\(300\) | 26.3748 | + | 37.5265i | 0.0879161 | + | 0.125088i | ||||
\(301\) | −32.6240 | + | 181.335i | −0.108385 | + | 0.602443i | ||||
\(302\) | 144.304 | − | 121.302i | 0.477829 | − | 0.401663i | ||||
\(303\) | 155.845 | + | 269.931i | 0.514340 | + | 0.890862i | ||||
\(304\) | −410.314 | − | 34.4442i | −1.34972 | − | 0.113303i | ||||
\(305\) | 287.111 | − | 497.291i | 0.941349 | − | 1.63046i | ||||
\(306\) | 64.8923 | − | 178.779i | 0.212066 | − | 0.584245i | ||||
\(307\) | 304.997 | + | 304.997i | 0.993475 | + | 0.993475i | 0.999979 | − | 0.00650363i | \(-0.00207018\pi\) |
−0.00650363 | + | 0.999979i | \(0.502070\pi\) | |||||||
\(308\) | 1.08296 | + | 6.20391i | 0.00351609 | + | 0.0201425i | ||||
\(309\) | 157.632 | + | 157.632i | 0.510136 | + | 0.510136i | ||||
\(310\) | −368.368 | + | 172.167i | −1.18828 | + | 0.555379i | ||||
\(311\) | 68.9557 | − | 119.435i | 0.221722 | − | 0.384035i | −0.733609 | − | 0.679572i | \(-0.762165\pi\) |
0.955331 | + | 0.295538i | \(0.0954988\pi\) | |||||||
\(312\) | −125.212 | + | 0.330260i | −0.401322 | + | 0.00105853i | ||||
\(313\) | 137.215 | + | 237.664i | 0.438387 | + | 0.759309i | 0.997565 | − | 0.0697385i | \(-0.0222165\pi\) |
−0.559178 | + | 0.829048i | \(0.688883\pi\) | |||||||
\(314\) | 31.4851 | − | 363.558i | 0.100271 | − | 1.15783i | ||||
\(315\) | −90.1961 | − | 76.2187i | −0.286337 | − | 0.241964i | ||||
\(316\) | 46.9777 | − | 269.191i | 0.148664 | − | 0.851870i | ||||
\(317\) | −273.757 | − | 73.3530i | −0.863587 | − | 0.231397i | −0.200274 | − | 0.979740i | \(-0.564183\pi\) |
−0.663313 | + | 0.748342i | \(0.730850\pi\) | |||||||
\(318\) | −20.2306 | − | 114.146i | −0.0636181 | − | 0.358951i | ||||
\(319\) | −3.37396 | + | 5.84387i | −0.0105767 | + | 0.0183194i | ||||
\(320\) | −253.131 | + | 255.816i | −0.791036 | + | 0.799426i | ||||
\(321\) | 60.7379i | 0.189215i | ||||||||
\(322\) | 144.961 | − | 144.211i | 0.450190 | − | 0.447861i | ||||
\(323\) | −576.829 | + | 576.829i | −1.78585 | + | 1.78585i | ||||
\(324\) | −33.8072 | + | 12.3722i | −0.104343 | + | 0.0381858i | ||||
\(325\) | −15.4840 | − | 57.7871i | −0.0476431 | − | 0.177806i | ||||
\(326\) | 121.742 | − | 174.191i | 0.373442 | − | 0.534330i | ||||
\(327\) | −43.5935 | − | 75.5061i | −0.133313 | − | 0.230905i | ||||
\(328\) | 364.378 | − | 211.657i | 1.11091 | − | 0.645297i | ||||
\(329\) | 46.4399 | + | 21.8519i | 0.141155 | + | 0.0664192i | ||||
\(330\) | −0.378015 | + | 4.36493i | −0.00114550 | + | 0.0132271i | ||||
\(331\) | −107.835 | + | 402.446i | −0.325785 | + | 1.21585i | 0.587735 | + | 0.809054i | \(0.300020\pi\) |
−0.913520 | + | 0.406794i | \(0.866647\pi\) | |||||||
\(332\) | −32.8467 | − | 367.986i | −0.0989359 | − | 1.10839i | ||||
\(333\) | 39.2406 | + | 146.448i | 0.117840 | + | 0.439784i | ||||
\(334\) | −18.2639 | + | 50.3173i | −0.0546824 | + | 0.150651i | ||||
\(335\) | 634.587i | 1.89429i | ||||||||
\(336\) | 96.9874 | − | 168.004i | 0.288653 | − | 0.500013i | ||||
\(337\) | −240.937 | −0.714948 | −0.357474 | − | 0.933923i | \(-0.616362\pi\) | ||||
−0.357474 | + | 0.933923i | \(0.616362\pi\) | |||||||
\(338\) | −164.203 | − | 59.6014i | −0.485807 | − | 0.176336i | ||||
\(339\) | −51.5461 | + | 13.8117i | −0.152053 | + | 0.0407426i | ||||
\(340\) | 63.3903 | + | 710.169i | 0.186442 | + | 2.08873i | ||||
\(341\) | −7.85488 | − | 2.10471i | −0.0230348 | − | 0.00617216i | ||||
\(342\) | 153.833 | + | 13.3224i | 0.449805 | + | 0.0389543i | ||||
\(343\) | −332.219 | + | 85.3189i | −0.968569 | + | 0.248743i | ||||
\(344\) | −203.536 | − | 53.9623i | −0.591674 | − | 0.156867i | ||||
\(345\) | 123.194 | − | 71.1263i | 0.357085 | − | 0.206163i | ||||
\(346\) | −140.351 | − | 98.0909i | −0.405638 | − | 0.283500i | ||||
\(347\) | −355.695 | + | 95.3081i | −1.02506 | + | 0.274663i | −0.731908 | − | 0.681404i | \(-0.761370\pi\) |
−0.293149 | + | 0.956067i | \(0.594703\pi\) | |||||||
\(348\) | 195.197 | − | 71.4348i | 0.560910 | − | 0.205272i | ||||
\(349\) | −154.758 | − | 154.758i | −0.443434 | − | 0.443434i | 0.449731 | − | 0.893164i | \(-0.351520\pi\) |
−0.893164 | + | 0.449731i | \(0.851520\pi\) | |||||||
\(350\) | 89.4659 | + | 24.2211i | 0.255617 | + | 0.0692033i | ||||
\(351\) | 46.9548 | 0.133774 | ||||||||
\(352\) | −7.16718 | + | 0.658807i | −0.0203613 | + | 0.00187161i | ||||
\(353\) | −221.682 | − | 127.988i | −0.627994 | − | 0.362573i | 0.151981 | − | 0.988383i | \(-0.451435\pi\) |
−0.779975 | + | 0.625811i | \(0.784768\pi\) | |||||||
\(354\) | −183.678 | + | 32.5540i | −0.518865 | + | 0.0919604i | ||||
\(355\) | −78.6514 | + | 293.531i | −0.221553 | + | 0.826848i | ||||
\(356\) | 43.1120 | − | 247.040i | 0.121101 | − | 0.693932i | ||||
\(357\) | −130.192 | − | 361.602i | −0.364685 | − | 1.01289i | ||||
\(358\) | 99.1839 | + | 8.58960i | 0.277050 | + | 0.0239933i | ||||
\(359\) | 280.673 | − | 162.047i | 0.781819 | − | 0.451383i | −0.0552557 | − | 0.998472i | \(-0.517597\pi\) |
0.837074 | + | 0.547089i | \(0.184264\pi\) | |||||||
\(360\) | 95.1770 | − | 95.6804i | 0.264380 | − | 0.265779i | ||||
\(361\) | −260.918 | − | 150.641i | −0.722764 | − | 0.417288i | ||||
\(362\) | −196.351 | − | 420.111i | −0.542406 | − | 1.16053i | ||||
\(363\) | 148.132 | − | 148.132i | 0.408078 | − | 0.408078i | ||||
\(364\) | −194.104 | + | 162.306i | −0.533252 | + | 0.445896i | ||||
\(365\) | 568.253 | − | 568.253i | 1.55686 | − | 1.55686i | ||||
\(366\) | −332.515 | − | 120.695i | −0.908511 | − | 0.329767i | ||||
\(367\) | −21.1759 | − | 12.2259i | −0.0576999 | − | 0.0333131i | 0.470873 | − | 0.882201i | \(-0.343939\pi\) |
−0.528572 | + | 0.848888i | \(0.677273\pi\) | |||||||
\(368\) | 150.840 | + | 178.486i | 0.409891 | + | 0.485015i | ||||
\(369\) | −136.851 | + | 79.0108i | −0.370869 | + | 0.214122i | ||||
\(370\) | −365.725 | − | 435.077i | −0.988447 | − | 1.17588i | ||||
\(371\) | −178.924 | − | 151.197i | −0.482276 | − | 0.407539i | ||||
\(372\) | 144.036 | + | 204.937i | 0.387194 | + | 0.550905i | ||||
\(373\) | 163.526 | − | 610.286i | 0.438406 | − | 1.63615i | −0.294375 | − | 0.955690i | \(-0.595112\pi\) |
0.732781 | − | 0.680464i | \(-0.238222\pi\) | |||||||
\(374\) | −8.16848 | + | 11.6877i | −0.0218409 | + | 0.0312504i | ||||
\(375\) | −155.028 | − | 89.5054i | −0.413408 | − | 0.238681i | ||||
\(376\) | −29.1940 | + | 50.8749i | −0.0776437 | + | 0.135306i | ||||
\(377\) | −271.108 | −0.719121 | ||||||||
\(378\) | −36.5363 | + | 62.9055i | −0.0966569 | + | 0.166417i | ||||
\(379\) | 332.485 | + | 332.485i | 0.877270 | + | 0.877270i | 0.993251 | − | 0.115982i | \(-0.0370013\pi\) |
−0.115982 | + | 0.993251i | \(0.537001\pi\) | |||||||
\(380\) | −543.592 | + | 198.934i | −1.43050 | + | 0.523511i | ||||
\(381\) | −80.7047 | + | 21.6248i | −0.211823 | + | 0.0567579i | ||||
\(382\) | −60.1864 | + | 10.6671i | −0.157556 | + | 0.0279242i | ||||
\(383\) | −660.811 | + | 381.519i | −1.72535 | + | 0.996134i | −0.818754 | + | 0.574144i | \(0.805335\pi\) |
−0.906600 | + | 0.421990i | \(0.861332\pi\) | |||||||
\(384\) | 182.387 | + | 126.043i | 0.474967 | + | 0.328238i | ||||
\(385\) | 5.05286 | + | 7.26982i | 0.0131243 | + | 0.0188827i | ||||
\(386\) | −220.490 | − | 262.301i | −0.571218 | − | 0.679536i | ||||
\(387\) | 76.2723 | + | 20.4371i | 0.197086 | + | 0.0528090i | ||||
\(388\) | 94.9829 | − | 113.601i | 0.244801 | − | 0.292787i | ||||
\(389\) | −232.235 | + | 62.2271i | −0.597004 | + | 0.159967i | −0.544652 | − | 0.838662i | \(-0.683338\pi\) |
−0.0523518 | + | 0.998629i | \(0.516672\pi\) | |||||||
\(390\) | −159.467 | + | 74.5314i | −0.408889 | + | 0.191106i | ||||
\(391\) | 462.973 | 1.18408 | ||||||||
\(392\) | −66.4068 | − | 386.334i | −0.169405 | − | 0.985547i | ||||
\(393\) | − | 224.769i | − | 0.571931i | ||||||
\(394\) | 57.6896 | − | 26.9629i | 0.146420 | − | 0.0684337i | ||||
\(395\) | −99.4250 | − | 371.059i | −0.251709 | − | 0.939390i | ||||
\(396\) | 2.68833 | − | 0.239963i | 0.00678872 | − | 0.000605966i | ||||
\(397\) | 23.4795 | − | 87.6266i | 0.0591422 | − | 0.220722i | −0.930029 | − | 0.367485i | \(-0.880219\pi\) |
0.989172 | + | 0.146763i | \(0.0468855\pi\) | |||||||
\(398\) | 6.55117 | + | 7.79346i | 0.0164602 | + | 0.0195815i | ||||
\(399\) | 256.210 | − | 178.078i | 0.642131 | − | 0.446310i | ||||
\(400\) | −35.8791 | + | 99.6662i | −0.0896977 | + | 0.249165i | ||||
\(401\) | 309.324 | + | 535.765i | 0.771382 | + | 1.33607i | 0.936806 | + | 0.349850i | \(0.113768\pi\) |
−0.165424 | + | 0.986223i | \(0.552899\pi\) | |||||||
\(402\) | 384.930 | − | 68.2225i | 0.957536 | − | 0.169708i | ||||
\(403\) | −84.5600 | − | 315.582i | −0.209826 | − | 0.783082i | ||||
\(404\) | −303.060 | + | 652.910i | −0.750149 | + | 1.61611i | ||||
\(405\) | −35.7859 | + | 35.7859i | −0.0883602 | + | 0.0883602i | ||||
\(406\) | 210.954 | − | 363.205i | 0.519591 | − | 0.894593i | ||||
\(407\) | − | 11.3669i | − | 0.0279286i | ||||||
\(408\) | 423.962 | − | 114.800i | 1.03912 | − | 0.281372i | ||||
\(409\) | −53.0052 | + | 91.8077i | −0.129597 | + | 0.224469i | −0.923521 | − | 0.383549i | \(-0.874702\pi\) |
0.793923 | + | 0.608018i | \(0.208035\pi\) | |||||||
\(410\) | 339.356 | − | 485.558i | 0.827697 | − | 1.18429i | ||||
\(411\) | 22.7119 | + | 6.08565i | 0.0552602 | + | 0.0148069i | ||||
\(412\) | −88.5066 | + | 507.159i | −0.214822 | + | 1.23097i | ||||
\(413\) | −243.299 | + | 287.916i | −0.589101 | + | 0.697133i | ||||
\(414\) | −56.3882 | − | 67.0810i | −0.136203 | − | 0.162031i | ||||
\(415\) | −259.686 | − | 449.790i | −0.625750 | − | 1.08383i | ||||
\(416\) | −166.899 | − | 236.140i | −0.401199 | − | 0.567644i | ||||
\(417\) | 44.8818 | − | 77.7376i | 0.107630 | − | 0.186421i | ||||
\(418\) | −10.8818 | − | 3.94982i | −0.0260330 | − | 0.00944934i | ||||
\(419\) | −269.333 | − | 269.333i | −0.642800 | − | 0.642800i | 0.308443 | − | 0.951243i | \(-0.400192\pi\) |
−0.951243 | + | 0.308443i | \(0.900192\pi\) | |||||||
\(420\) | 24.2339 | − | 271.632i | 0.0576998 | − | 0.646743i | ||||
\(421\) | 288.683 | + | 288.683i | 0.685709 | + | 0.685709i | 0.961281 | − | 0.275572i | \(-0.0888671\pi\) |
−0.275572 | + | 0.961281i | \(0.588867\pi\) | |||||||
\(422\) | −57.0683 | − | 122.103i | −0.135233 | − | 0.289343i | ||||
\(423\) | 10.9980 | − | 19.0492i | 0.0260001 | − | 0.0450335i | ||||
\(424\) | 188.805 | − | 189.804i | 0.445295 | − | 0.447650i | ||||
\(425\) | 104.930 | + | 181.744i | 0.246894 | + | 0.427633i | ||||
\(426\) | 186.507 | + | 16.1520i | 0.437809 | + | 0.0379155i | ||||
\(427\) | −672.552 | + | 242.148i | −1.57506 | + | 0.567090i | ||||
\(428\) | −114.759 | + | 80.6564i | −0.268129 | + | 0.188450i | ||||
\(429\) | −3.40038 | − | 0.911129i | −0.00792630 | − | 0.00212384i | ||||
\(430\) | −291.474 | + | 51.6590i | −0.677847 | + | 0.120137i | ||||
\(431\) | −82.0819 | + | 142.170i | −0.190445 | + | 0.329861i | −0.945398 | − | 0.325918i | \(-0.894327\pi\) |
0.754953 | + | 0.655779i | \(0.227660\pi\) | |||||||
\(432\) | −68.2703 | − | 47.4465i | −0.158033 | − | 0.109830i | ||||
\(433\) | − | 544.577i | − | 1.25768i | −0.777533 | − | 0.628842i | \(-0.783529\pi\) | ||
0.777533 | − | 0.628842i | \(-0.216471\pi\) | |||||||
\(434\) | 488.584 | + | 132.274i | 1.12577 | + | 0.304780i | ||||
\(435\) | 206.621 | − | 206.621i | 0.474991 | − | 0.474991i | ||||
\(436\) | 84.7730 | − | 182.634i | 0.194433 | − | 0.418885i | ||||
\(437\) | 97.2821 | + | 363.062i | 0.222613 | + | 0.830805i | ||||
\(438\) | −405.784 | − | 283.602i | −0.926448 | − | 0.647492i | ||||
\(439\) | −276.890 | − | 479.588i | −0.630730 | − | 1.09246i | −0.987403 | − | 0.158226i | \(-0.949422\pi\) |
0.356673 | − | 0.934229i | \(-0.383911\pi\) | |||||||
\(440\) | −8.74916 | + | 5.08215i | −0.0198845 | + | 0.0115503i | ||||
\(441\) | 24.5203 | + | 144.941i | 0.0556017 | + | 0.328663i | ||||
\(442\) | −570.751 | − | 49.4286i | −1.29129 | − | 0.111829i | ||||
\(443\) | −81.0497 | + | 302.482i | −0.182956 | + | 0.682803i | 0.812102 | + | 0.583515i | \(0.198323\pi\) |
−0.995059 | + | 0.0992878i | \(0.968344\pi\) | |||||||
\(444\) | −224.592 | + | 268.617i | −0.505839 | + | 0.604992i | ||||
\(445\) | −91.2435 | − | 340.525i | −0.205041 | − | 0.765225i | ||||
\(446\) | 49.1423 | + | 17.8374i | 0.110185 | + | 0.0399942i | ||||
\(447\) | 28.1763i | 0.0630343i | ||||||||
\(448\) | 446.224 | − | 39.8503i | 0.996036 | − | 0.0889516i | ||||
\(449\) | 600.127 | 1.33659 | 0.668293 | − | 0.743899i | \(-0.267025\pi\) | ||||
0.668293 | + | 0.743899i | \(0.267025\pi\) | |||||||
\(450\) | 13.5532 | − | 37.3392i | 0.0301182 | − | 0.0829760i | ||||
\(451\) | 11.4436 | − | 3.06631i | 0.0253739 | − | 0.00679892i | ||||
\(452\) | −94.5464 | − | 79.0510i | −0.209174 | − | 0.174892i | ||||
\(453\) | −157.696 | − | 42.2545i | −0.348115 | − | 0.0932771i | ||||
\(454\) | −52.1459 | + | 602.128i | −0.114859 | + | 1.32627i | ||||
\(455\) | −151.443 | + | 321.847i | −0.332841 | + | 0.707356i | ||||
\(456\) | 179.110 | + | 308.347i | 0.392785 | + | 0.676199i | ||||
\(457\) | −622.494 | + | 359.397i | −1.36213 | + | 0.786427i | −0.989907 | − | 0.141716i | \(-0.954738\pi\) |
−0.372224 | + | 0.928143i | \(0.621405\pi\) | |||||||
\(458\) | −107.347 | + | 153.594i | −0.234382 | + | 0.335359i | ||||
\(459\) | −159.099 | + | 42.6304i | −0.346620 | + | 0.0928766i | ||||
\(460\) | 297.982 | + | 138.314i | 0.647787 | + | 0.300683i | ||||
\(461\) | −431.586 | − | 431.586i | −0.936196 | − | 0.936196i | 0.0618874 | − | 0.998083i | \(-0.480288\pi\) |
−0.998083 | + | 0.0618874i | \(0.980288\pi\) | |||||||
\(462\) | 3.86654 | − | 3.84653i | 0.00836912 | − | 0.00832583i | ||||
\(463\) | −104.170 | −0.224988 | −0.112494 | − | 0.993652i | \(-0.535884\pi\) | ||||
−0.112494 | + | 0.993652i | \(0.535884\pi\) | |||||||
\(464\) | 394.180 | + | 273.947i | 0.849527 | + | 0.590403i | ||||
\(465\) | 304.962 | + | 176.070i | 0.655833 | + | 0.378645i | ||||
\(466\) | 119.173 | + | 672.404i | 0.255735 | + | 1.44293i | ||||
\(467\) | −116.863 | + | 436.140i | −0.250242 | + | 0.933918i | 0.720433 | + | 0.693524i | \(0.243943\pi\) |
−0.970676 | + | 0.240393i | \(0.922724\pi\) | |||||||
\(468\) | 62.3533 | + | 88.7173i | 0.133233 | + | 0.189567i | ||||
\(469\) | 509.874 | − | 603.377i | 1.08715 | − | 1.28652i | ||||
\(470\) | −7.11455 | + | 82.1515i | −0.0151373 | + | 0.174790i | ||||
\(471\) | −273.689 | + | 158.014i | −0.581081 | + | 0.335487i | ||||
\(472\) | −305.422 | − | 303.815i | −0.647081 | − | 0.643677i | ||||
\(473\) | −5.12693 | − | 2.96004i | −0.0108392 | − | 0.00625800i | ||||
\(474\) | −214.389 | + | 100.201i | −0.452298 | + | 0.211394i | ||||
\(475\) | −120.475 | + | 120.475i | −0.253631 | + | 0.253631i | ||||
\(476\) | 510.330 | − | 726.175i | 1.07212 | − | 1.52558i | ||||
\(477\) | −70.9894 | + | 70.9894i | −0.148825 | + | 0.148825i | ||||
\(478\) | 256.946 | − | 707.890i | 0.537545 | − | 1.48094i | ||||
\(479\) | 64.2885 | + | 37.1170i | 0.134214 | + | 0.0774885i | 0.565604 | − | 0.824677i | \(-0.308643\pi\) |
−0.431390 | + | 0.902166i | \(0.641977\pi\) | |||||||
\(480\) | 307.170 | + | 52.7711i | 0.639937 | + | 0.109940i | ||||
\(481\) | 395.501 | − | 228.342i | 0.822247 | − | 0.474725i | ||||
\(482\) | −394.104 | + | 331.283i | −0.817643 | + | 0.687309i | ||||
\(483\) | −174.284 | − | 31.3553i | −0.360836 | − | 0.0649178i | ||||
\(484\) | 476.595 | + | 83.1727i | 0.984700 | + | 0.171844i | ||||
\(485\) | 53.8778 | − | 201.075i | 0.111088 | − | 0.414587i | ||||
\(486\) | 25.5543 | + | 17.8599i | 0.0525810 | + | 0.0367487i | ||||
\(487\) | 8.29449 | + | 4.78883i | 0.0170318 | + | 0.00983332i | 0.508492 | − | 0.861067i | \(-0.330203\pi\) |
−0.491460 | + | 0.870900i | \(0.663537\pi\) | |||||||
\(488\) | −213.518 | − | 788.536i | −0.437537 | − | 1.61585i | ||||
\(489\) | −184.046 | −0.376372 | ||||||||
\(490\) | −313.340 | − | 453.323i | −0.639468 | − | 0.925148i | ||||
\(491\) | −551.996 | − | 551.996i | −1.12423 | − | 1.12423i | −0.991099 | − | 0.133131i | \(-0.957497\pi\) |
−0.133131 | − | 0.991099i | \(-0.542503\pi\) | |||||||
\(492\) | −331.015 | − | 153.647i | −0.672794 | − | 0.312290i | ||||
\(493\) | 918.607 | − | 246.140i | 1.86330 | − | 0.499270i | ||||
\(494\) | −81.1670 | − | 457.966i | −0.164306 | − | 0.927057i | ||||
\(495\) | 3.28595 | − | 1.89715i | 0.00663829 | − | 0.00383262i | ||||
\(496\) | −195.940 | + | 544.289i | −0.395040 | + | 1.09736i | ||||
\(497\) | 310.628 | − | 215.901i | 0.625006 | − | 0.434407i | ||||
\(498\) | −244.917 | + | 205.877i | −0.491801 | + | 0.413407i | ||||
\(499\) | 892.499 | + | 239.144i | 1.78857 | + | 0.479247i | 0.992103 | − | 0.125428i | \(-0.0400305\pi\) |
0.796472 | + | 0.604675i | \(0.206697\pi\) | |||||||
\(500\) | −36.7550 | − | 411.770i | −0.0735099 | − | 0.823541i | ||||
\(501\) | 44.7783 | − | 11.9983i | 0.0893778 | − | 0.0239487i | ||||
\(502\) | −296.909 | − | 635.265i | −0.591453 | − | 1.26547i | ||||
\(503\) | −949.365 | −1.88740 | −0.943702 | − | 0.330796i | \(-0.892683\pi\) | ||||
−0.943702 | + | 0.330796i | \(0.892683\pi\) | |||||||
\(504\) | −167.373 | + | 14.5025i | −0.332089 | + | 0.0287747i | ||||
\(505\) | 1011.92i | 2.00380i | ||||||||
\(506\) | 2.78187 | + | 5.95207i | 0.00549776 | + | 0.0117630i | ||||
\(507\) | 39.1546 | + | 146.127i | 0.0772279 | + | 0.288219i | ||||
\(508\) | −148.029 | − | 123.768i | −0.291396 | − | 0.243639i | ||||
\(509\) | −196.046 | + | 731.655i | −0.385160 | + | 1.43744i | 0.452755 | + | 0.891635i | \(0.350441\pi\) |
−0.837915 | + | 0.545801i | \(0.816225\pi\) | |||||||
\(510\) | 472.660 | − | 397.318i | 0.926785 | − | 0.779054i | ||||
\(511\) | −996.883 | + | 83.7291i | −1.95085 | + | 0.163853i | ||||
\(512\) | 4.05130 | + | 511.984i | 0.00791269 | + | 0.999969i | ||||
\(513\) | −66.8611 | − | 115.807i | −0.130333 | − | 0.225744i | ||||
\(514\) | −25.5096 | − | 143.932i | −0.0496296 | − | 0.280023i | ||||
\(515\) | 187.318 | + | 699.079i | 0.363724 | + | 1.35744i | ||||
\(516\) | 62.6710 | + | 171.250i | 0.121455 | + | 0.331879i | ||||
\(517\) | −1.16610 | + | 1.16610i | −0.00225550 | + | 0.00225550i | ||||
\(518\) | −1.83469 | + | 707.531i | −0.00354188 | + | 1.36589i | ||||
\(519\) | 148.291i | 0.285724i | ||||||||
\(520\) | −352.584 | − | 202.326i | −0.678046 | − | 0.389089i | ||||
\(521\) | 480.348 | − | 831.987i | 0.921973 | − | 1.59690i | 0.125613 | − | 0.992079i | \(-0.459910\pi\) |
0.796359 | − | 0.604824i | \(-0.206757\pi\) | |||||||
\(522\) | −147.546 | − | 103.120i | −0.282655 | − | 0.197547i | ||||
\(523\) | 256.299 | + | 68.6751i | 0.490056 | + | 0.131310i | 0.495381 | − | 0.868676i | \(-0.335028\pi\) |
−0.00532540 | + | 0.999986i | \(0.501695\pi\) | |||||||
\(524\) | 424.683 | − | 298.480i | 0.810463 | − | 0.569619i | ||||
\(525\) | −27.1915 | − | 75.5230i | −0.0517934 | − | 0.143853i | ||||
\(526\) | 52.1418 | − | 43.8303i | 0.0991289 | − | 0.0833276i | ||||
\(527\) | 573.035 | + | 992.526i | 1.08735 | + | 1.88335i | ||||
\(528\) | 4.02334 | + | 4.76073i | 0.00761996 | + | 0.00901653i | ||||
\(529\) | −157.840 | + | 273.387i | −0.298375 | + | 0.516800i | ||||
\(530\) | 128.411 | − | 353.774i | 0.242285 | − | 0.667498i | ||||
\(531\) | 114.232 | + | 114.232i | 0.215127 | + | 0.215127i | ||||
\(532\) | 676.696 | + | 247.611i | 1.27198 | + | 0.465435i | ||||
\(533\) | 336.572 | + | 336.572i | 0.631468 | + | 0.631468i | ||||
\(534\) | −196.748 | + | 91.9556i | −0.368441 | + | 0.172201i | ||||
\(535\) | −98.5946 | + | 170.771i | −0.184289 | + | 0.319198i | ||||
\(536\) | 640.065 | + | 636.698i | 1.19415 | + | 1.18787i | ||||
\(537\) | −43.1086 | − | 74.6663i | −0.0802768 | − | 0.139043i | ||||
\(538\) | 13.7158 | − | 158.376i | 0.0254940 | − | 0.294378i | ||||
\(539\) | 1.03676 | − | 10.9721i | 0.00192350 | − | 0.0203565i | ||||
\(540\) | −115.136 | − | 20.0929i | −0.213215 | − | 0.0372091i | ||||
\(541\) | 172.690 | + | 46.2722i | 0.319206 | + | 0.0855309i | 0.414864 | − | 0.909883i | \(-0.363829\pi\) |
−0.0956586 | + | 0.995414i | \(0.530496\pi\) | |||||||
\(542\) | −126.204 | − | 712.080i | −0.232850 | − | 1.31380i | ||||
\(543\) | −200.802 | + | 347.799i | −0.369800 | + | 0.640513i | ||||
\(544\) | 779.901 | + | 648.594i | 1.43364 | + | 1.19227i | ||||
\(545\) | − | 283.058i | − | 0.519372i | ||||||
\(546\) | 211.508 | + | 57.2617i | 0.387378 | + | 0.104875i | ||||
\(547\) | 407.815 | − | 407.815i | 0.745548 | − | 0.745548i | −0.228091 | − | 0.973640i | \(-0.573249\pi\) |
0.973640 | + | 0.228091i | \(0.0732485\pi\) | |||||||
\(548\) | 18.6618 | + | 50.9938i | 0.0340544 | + | 0.0930543i | ||||
\(549\) | 79.2891 | + | 295.911i | 0.144425 | + | 0.539000i | ||||
\(550\) | −1.70604 | + | 2.44105i | −0.00310189 | + | 0.00443826i | ||||
\(551\) | 386.044 | + | 668.647i | 0.700624 | + | 1.21352i | ||||
\(552\) | 51.8638 | − | 195.621i | 0.0939562 | − | 0.354385i | ||||
\(553\) | −203.601 | + | 432.696i | −0.368176 | + | 0.782451i | ||||
\(554\) | −74.0382 | + | 854.917i | −0.133643 | + | 1.54317i | ||||
\(555\) | −127.397 | + | 475.453i | −0.229544 | + | 0.856671i | ||||
\(556\) | 206.479 | − | 18.4305i | 0.371365 | − | 0.0331484i | ||||
\(557\) | −123.888 | − | 462.355i | −0.222420 | − | 0.830081i | −0.983422 | − | 0.181332i | \(-0.941959\pi\) |
0.761002 | − | 0.648749i | \(-0.224707\pi\) | |||||||
\(558\) | 74.0155 | − | 203.914i | 0.132644 | − | 0.365437i | ||||
\(559\) | − | 237.848i | − | 0.425489i | ||||||
\(560\) | 545.408 | − | 314.924i | 0.973943 | − | 0.562364i | ||||
\(561\) | 12.3489 | 0.0220122 | ||||||||
\(562\) | 398.736 | + | 144.731i | 0.709494 | + | 0.257528i | ||||
\(563\) | −429.595 | + | 115.110i | −0.763047 | + | 0.204458i | −0.619298 | − | 0.785156i | \(-0.712583\pi\) |
−0.143749 | + | 0.989614i | \(0.545916\pi\) | |||||||
\(564\) | 50.5966 | − | 4.51629i | 0.0897103 | − | 0.00800761i | ||||
\(565\) | −167.348 | − | 44.8407i | −0.296190 | − | 0.0793640i | ||||
\(566\) | 157.107 | + | 13.6059i | 0.277574 | + | 0.0240386i | ||||
\(567\) | 62.7790 | − | 5.27286i | 0.110721 | − | 0.00929957i | ||||
\(568\) | 217.152 | + | 373.838i | 0.382310 | + | 0.658165i | ||||
\(569\) | 418.540 | − | 241.644i | 0.735571 | − | 0.424682i | −0.0848860 | − | 0.996391i | \(-0.527053\pi\) |
0.820457 | + | 0.571709i | \(0.193719\pi\) | |||||||
\(570\) | 410.892 | + | 287.172i | 0.720863 | + | 0.503810i | ||||
\(571\) | 72.2623 | − | 19.3626i | 0.126554 | − | 0.0339100i | −0.194986 | − | 0.980806i | \(-0.562466\pi\) |
0.321540 | + | 0.946896i | \(0.395800\pi\) | |||||||
\(572\) | −2.79401 | − | 7.63467i | −0.00488463 | − | 0.0133473i | ||||
\(573\) | 37.4309 | + | 37.4309i | 0.0653244 | + | 0.0653244i | ||||
\(574\) | −712.800 | + | 189.014i | −1.24181 | + | 0.329293i | ||||
\(575\) | 96.6951 | 0.168165 | ||||||||
\(576\) | −1.01283 | − | 191.997i | −0.00175839 | − | 0.333329i | ||||
\(577\) | 36.7248 | + | 21.2031i | 0.0636478 | + | 0.0367471i | 0.531486 | − | 0.847067i | \(-0.321634\pi\) |
−0.467838 | + | 0.883814i | \(0.654967\pi\) | |||||||
\(578\) | 1409.64 | − | 249.836i | 2.43883 | − | 0.432242i | ||||
\(579\) | −76.8057 | + | 286.643i | −0.132652 | + | 0.495065i | ||||
\(580\) | 664.775 | + | 116.013i | 1.14616 | + | 0.200022i | ||||
\(581\) | −114.480 | + | 636.320i | −0.197040 | + | 1.09522i | ||||
\(582\) | −127.761 | − | 11.0644i | −0.219520 | − | 0.0190111i | ||||
\(583\) | 6.51843 | − | 3.76342i | 0.0111808 | − | 0.00645526i | ||||
\(584\) | −3.01557 | − | 1143.30i | −0.00516365 | − | 1.95771i | ||||
\(585\) | 132.018 | + | 76.2208i | 0.225672 | + | 0.130292i | ||||
\(586\) | −73.5880 | − | 157.448i | −0.125577 | − | 0.268683i | ||||
\(587\) | −251.894 | + | 251.894i | −0.429121 | + | 0.429121i | −0.888329 | − | 0.459208i | \(-0.848133\pi\) |
0.459208 | + | 0.888329i | \(0.348133\pi\) | |||||||
\(588\) | −241.292 | + | 238.802i | −0.410360 | + | 0.406126i | ||||
\(589\) | −657.926 | + | 657.926i | −1.11702 | + | 1.11702i | ||||
\(590\) | −569.275 | − | 206.632i | −0.964873 | − | 0.350225i | ||||
\(591\) | −47.7597 | − | 27.5741i | −0.0808116 | − | 0.0466566i | ||||
\(592\) | −805.775 | − | 67.6416i | −1.36111 | − | 0.114259i | ||||
\(593\) | −454.362 | + | 262.326i | −0.766209 | + | 0.442371i | −0.831520 | − | 0.555494i | \(-0.812529\pi\) |
0.0653118 | + | 0.997865i | \(0.479196\pi\) | |||||||
\(594\) | −1.50404 | − | 1.78925i | −0.00253205 | − | 0.00301220i | ||||
\(595\) | 220.933 | − | 1228.02i | 0.371315 | − | 2.06390i | ||||
\(596\) | −53.2369 | + | 37.4165i | −0.0893236 | + | 0.0627794i | ||||
\(597\) | 2.28204 | − | 8.51670i | 0.00382252 | − | 0.0142658i | ||||
\(598\) | −151.213 | + | 216.359i | −0.252864 | + | 0.361804i | ||||
\(599\) | 705.307 | + | 407.209i | 1.17747 | + | 0.679815i | 0.955429 | − | 0.295221i | \(-0.0953934\pi\) |
0.222045 | + | 0.975036i | \(0.428727\pi\) | |||||||
\(600\) | 88.5472 | − | 23.9767i | 0.147579 | − | 0.0399611i | ||||
\(601\) | 286.337 | 0.476434 | 0.238217 | − | 0.971212i | \(-0.423437\pi\) | ||||
0.238217 | + | 0.971212i | \(0.423437\pi\) | |||||||
\(602\) | 318.646 | + | 185.074i | 0.529312 | + | 0.307431i | ||||
\(603\) | −239.394 | − | 239.394i | −0.397005 | − | 0.397005i | ||||
\(604\) | −129.575 | − | 354.065i | −0.214528 | − | 0.586201i | ||||
\(605\) | 656.949 | − | 176.029i | 1.08587 | − | 0.290957i | ||||
\(606\) | 613.814 | − | 108.788i | 1.01289 | − | 0.179519i | ||||
\(607\) | 409.425 | − | 236.382i | 0.674506 | − | 0.389426i | −0.123276 | − | 0.992372i | \(-0.539340\pi\) |
0.797782 | + | 0.602946i | \(0.206007\pi\) | |||||||
\(608\) | −344.748 | + | 747.881i | −0.567020 | + | 1.23007i | ||||
\(609\) | −362.474 | + | 30.4445i | −0.595196 | + | 0.0499910i | ||||
\(610\) | −738.980 | − | 879.111i | −1.21144 | − | 1.44117i | ||||
\(611\) | −63.9979 | − | 17.1482i | −0.104743 | − | 0.0280658i | ||||
\(612\) | −291.820 | − | 243.993i | −0.476831 | − | 0.398682i | ||||
\(613\) | 156.420 | − | 41.9127i | 0.255172 | − | 0.0683730i | −0.128965 | − | 0.991649i | \(-0.541166\pi\) |
0.384137 | + | 0.923276i | \(0.374499\pi\) | |||||||
\(614\) | 781.516 | − | 365.264i | 1.27283 | − | 0.594892i | ||||
\(615\) | −513.027 | −0.834190 | ||||||||
\(616\) | 12.4023 | + | 2.19753i | 0.0201335 | + | 0.00356741i | ||||
\(617\) | − | 1138.03i | − | 1.84446i | −0.386646 | − | 0.922228i | \(-0.626367\pi\) | ||
0.386646 | − | 0.922228i | \(-0.373633\pi\) | |||||||
\(618\) | 403.912 | − | 188.780i | 0.653579 | − | 0.305469i | ||||
\(619\) | 137.681 | + | 513.834i | 0.222425 | + | 0.830103i | 0.983420 | + | 0.181344i | \(0.0580448\pi\) |
−0.760994 | + | 0.648759i | \(0.775289\pi\) | |||||||
\(620\) | 72.3023 | + | 810.012i | 0.116617 | + | 1.30647i | ||||
\(621\) | −19.6423 | + | 73.3062i | −0.0316302 | + | 0.118045i | ||||
\(622\) | −177.481 | − | 211.137i | −0.285339 | − | 0.339448i | ||||
\(623\) | −186.847 | + | 397.090i | −0.299915 | + | 0.637383i | ||||
\(624\) | −84.8225 | + | 235.623i | −0.135933 | + | 0.377601i | ||||
\(625\) | −373.341 | − | 646.645i | −0.597345 | − | 1.03463i | ||||
\(626\) | 540.439 | − | 95.7839i | 0.863320 | − | 0.153009i | ||||
\(627\) | 2.59480 | + | 9.68391i | 0.00413843 | + | 0.0154448i | ||||
\(628\) | −661.999 | − | 307.279i | −1.05414 | − | 0.489298i | ||||
\(629\) | −1132.78 | + | 1132.78i | −1.80092 | + | 1.80092i | ||||
\(630\) | −204.839 | + | 117.557i | −0.325141 | + | 0.186598i | ||||
\(631\) | − | 321.327i | − | 0.509234i | −0.967042 | − | 0.254617i | \(-0.918051\pi\) | ||
0.967042 | − | 0.254617i | \(-0.0819495\pi\) | |||||||
\(632\) | −474.018 | − | 272.010i | −0.750029 | − | 0.430396i | ||||
\(633\) | −58.3619 | + | 101.086i | −0.0921988 | + | 0.159693i | ||||
\(634\) | −324.711 | + | 464.604i | −0.512163 | + | 0.732814i | ||||
\(635\) | −262.013 | − | 70.2061i | −0.412618 | − | 0.110561i | ||||
\(636\) | −228.398 | − | 39.8588i | −0.359117 | − | 0.0626711i | ||||
\(637\) | 402.591 | − | 184.338i | 0.632010 | − | 0.289385i | ||||
\(638\) | 8.68405 | + | 10.3308i | 0.0136114 | + | 0.0161925i | ||||
\(639\) | −81.0620 | − | 140.403i | −0.126858 | − | 0.219724i | ||||
\(640\) | 308.197 | + | 650.449i | 0.481558 | + | 1.01633i | ||||
\(641\) | 279.724 | − | 484.496i | 0.436387 | − | 0.755844i | −0.561021 | − | 0.827802i | \(-0.689591\pi\) |
0.997408 | + | 0.0719574i | \(0.0229246\pi\) | |||||||
\(642\) | 114.186 | + | 41.4468i | 0.177860 | + | 0.0645588i | ||||
\(643\) | −165.322 | − | 165.322i | −0.257111 | − | 0.257111i | 0.566767 | − | 0.823878i | \(-0.308194\pi\) |
−0.823878 | + | 0.566767i | \(0.808194\pi\) | |||||||
\(644\) | −172.195 | − | 370.933i | −0.267384 | − | 0.575983i | ||||
\(645\) | 181.272 | + | 181.272i | 0.281042 | + | 0.281042i | ||||
\(646\) | 690.810 | + | 1478.05i | 1.06936 | + | 2.28801i | ||||
\(647\) | −332.374 | + | 575.688i | −0.513715 | + | 0.889781i | 0.486158 | + | 0.873871i | \(0.338398\pi\) |
−0.999873 | + | 0.0159103i | \(0.994935\pi\) | |||||||
\(648\) | 0.189906 | + | 71.9997i | 0.000293065 | + | 0.111111i | ||||
\(649\) | −6.05590 | − | 10.4891i | −0.00933112 | − | 0.0161620i | ||||
\(650\) | −119.205 | − | 10.3235i | −0.183392 | − | 0.0158823i | ||||
\(651\) | −148.496 | − | 412.440i | −0.228105 | − | 0.633549i | ||||
\(652\) | −244.402 | − | 347.739i | −0.374850 | − | 0.533343i | ||||
\(653\) | 55.0427 | + | 14.7487i | 0.0842921 | + | 0.0225860i | 0.300719 | − | 0.953713i | \(-0.402774\pi\) |
−0.216427 | + | 0.976299i | \(0.569440\pi\) | |||||||
\(654\) | −171.698 | + | 30.4307i | −0.262535 | + | 0.0465301i | ||||
\(655\) | 364.863 | − | 631.961i | 0.557043 | − | 0.964827i | ||||
\(656\) | −149.266 | − | 829.459i | −0.227539 | − | 1.26442i | ||||
\(657\) | 428.740i | 0.652572i | ||||||||
\(658\) | 72.7713 | − | 72.3949i | 0.110595 | − | 0.110023i | ||||
\(659\) | 777.357 | − | 777.357i | 1.17960 | − | 1.17960i | 0.199755 | − | 0.979846i | \(-0.435985\pi\) |
0.979846 | − | 0.199755i | \(-0.0640148\pi\) | |||||||
\(660\) | 7.94806 | + | 3.68924i | 0.0120425 | + | 0.00558975i | ||||
\(661\) | −1.60777 | − | 6.00029i | −0.00243233 | − | 0.00907759i | 0.964699 | − | 0.263355i | \(-0.0848290\pi\) |
−0.967131 | + | 0.254277i | \(0.918162\pi\) | |||||||
\(662\) | 683.007 | + | 477.352i | 1.03173 | + | 0.721076i | ||||
\(663\) | 248.067 | + | 429.665i | 0.374159 | + | 0.648062i | ||||
\(664\) | −714.223 | − | 189.358i | −1.07564 | − | 0.285177i | ||||
\(665\) | 1009.43 | − | 84.7831i | 1.51794 | − | 0.127493i | ||||
\(666\) | 302.098 | + | 26.1625i | 0.453600 | + | 0.0392830i | ||||
\(667\) | 113.411 | − | 423.257i | 0.170032 | − | 0.634568i | ||||
\(668\) | 82.1328 | + | 68.6719i | 0.122953 | + | 0.102802i | ||||
\(669\) | −11.7181 | − | 43.7326i | −0.0175159 | − | 0.0653701i | ||||
\(670\) | 1193.01 | + | 433.034i | 1.78062 | + | 0.646320i | ||||
\(671\) | − | 22.9679i | − | 0.0342294i | ||||||
\(672\) | −249.663 | − | 296.979i | −0.371522 | − | 0.441933i | ||||
\(673\) | −740.367 | −1.10010 | −0.550050 | − | 0.835132i | \(-0.685391\pi\) | ||||
−0.550050 | + | 0.835132i | \(0.685391\pi\) | |||||||
\(674\) | −164.413 | + | 452.959i | −0.243936 | + | 0.672046i | ||||
\(675\) | −33.2288 | + | 8.90363i | −0.0492279 | + | 0.0131906i | ||||
\(676\) | −224.100 | + | 268.027i | −0.331508 | + | 0.396490i | ||||
\(677\) | 929.578 | + | 249.080i | 1.37308 | + | 0.367917i | 0.868604 | − | 0.495506i | \(-0.165017\pi\) |
0.504480 | + | 0.863423i | \(0.331684\pi\) | |||||||
\(678\) | −9.20856 | + | 106.331i | −0.0135819 | + | 0.156830i | ||||
\(679\) | −212.786 | + | 147.896i | −0.313382 | + | 0.217815i | ||||
\(680\) | 1378.36 | + | 365.438i | 2.02701 | + | 0.537409i | ||||
\(681\) | 453.286 | − | 261.705i | 0.665618 | − | 0.384295i | ||||
\(682\) | −9.31689 | + | 13.3308i | −0.0136611 | + | 0.0195467i | ||||
\(683\) | 1260.57 | − | 337.769i | 1.84564 | − | 0.494537i | 0.846364 | − | 0.532606i | \(-0.178787\pi\) |
0.999275 | + | 0.0380683i | \(0.0121204\pi\) | |||||||
\(684\) | 130.020 | − | 280.113i | 0.190087 | − | 0.409522i | ||||
\(685\) | 53.9783 | + | 53.9783i | 0.0788004 | + | 0.0788004i | ||||
\(686\) | −66.3040 | + | 682.788i | −0.0966530 | + | 0.995318i | ||||
\(687\) | 162.283 | 0.236220 | ||||||||
\(688\) | −240.339 | + | 345.821i | −0.349329 | + | 0.502647i | ||||
\(689\) | 261.888 | + | 151.201i | 0.380099 | + | 0.219450i | ||||
\(690\) | −49.6501 | − | 280.139i | −0.0719567 | − | 0.405999i | ||||
\(691\) | 46.2219 | − | 172.503i | 0.0668914 | − | 0.249642i | −0.924381 | − | 0.381470i | \(-0.875418\pi\) |
0.991273 | + | 0.131828i | \(0.0420846\pi\) | |||||||
\(692\) | −280.183 | + | 196.921i | −0.404889 | + | 0.284569i | ||||
\(693\) | −4.64865 | − | 0.836337i | −0.00670801 | − | 0.00120684i | ||||
\(694\) | −63.5438 | + | 733.738i | −0.0915617 | + | 1.05726i | ||||
\(695\) | 252.380 | − | 145.711i | 0.363136 | − | 0.209657i | ||||
\(696\) | −1.09649 | − | 415.714i | −0.00157541 | − | 0.597290i | ||||
\(697\) | −1446.00 | − | 834.846i | −2.07460 | − | 1.19777i | ||||
\(698\) | −396.549 | + | 185.338i | −0.568121 | + | 0.265528i | ||||
\(699\) | 418.179 | − | 418.179i | 0.598253 | − | 0.598253i | ||||
\(700\) | 106.586 | − | 151.666i | 0.152265 | − | 0.216666i | ||||
\(701\) | −458.612 | + | 458.612i | −0.654225 | + | 0.654225i | −0.954008 | − | 0.299782i | \(-0.903086\pi\) |
0.299782 | + | 0.954008i | \(0.403086\pi\) | |||||||
\(702\) | 32.0414 | − | 88.2744i | 0.0456430 | − | 0.125747i | ||||
\(703\) | −1126.34 | − | 650.294i | −1.60219 | − | 0.925028i | ||||
\(704\) | −3.65224 | + | 13.9238i | −0.00518785 | + | 0.0197781i | ||||
\(705\) | 61.8443 | − | 35.7058i | 0.0877224 | − | 0.0506465i | ||||
\(706\) | −391.889 | + | 329.421i | −0.555083 | + | 0.466603i | ||||
\(707\) | 813.052 | − | 962.153i | 1.15000 | − | 1.36090i | ||||
\(708\) | −64.1388 | + | 367.527i | −0.0905915 | + | 0.519106i | ||||
\(709\) | 6.64532 | − | 24.8007i | 0.00937281 | − | 0.0349798i | −0.961081 | − | 0.276267i | \(-0.910903\pi\) |
0.970454 | + | 0.241287i | \(0.0775694\pi\) | |||||||
\(710\) | 498.163 | + | 348.165i | 0.701639 | + | 0.490374i | ||||
\(711\) | 177.487 | + | 102.472i | 0.249630 | + | 0.144124i | ||||
\(712\) | −435.012 | − | 249.627i | −0.610972 | − | 0.350599i | ||||
\(713\) | 528.063 | 0.740621 | ||||||||
\(714\) | −768.649 | − | 1.99318i | −1.07654 | − | 0.00279157i | ||||
\(715\) | −8.08151 | − | 8.08151i | −0.0113028 | − | 0.0113028i | ||||
\(716\) | 83.8302 | − | 180.603i | 0.117081 | − | 0.252239i | ||||
\(717\) | −629.964 | + | 168.798i | −0.878611 | + | 0.235423i | ||||
\(718\) | −113.118 | − | 638.240i | −0.157545 | − | 0.888913i | ||||
\(719\) | 25.7848 | − | 14.8869i | 0.0358620 | − | 0.0207049i | −0.481962 | − | 0.876192i | \(-0.660076\pi\) |
0.517824 | + | 0.855487i | \(0.326742\pi\) | |||||||
\(720\) | −114.930 | − | 244.222i | −0.159625 | − | 0.339198i | ||||
\(721\) | 383.587 | − | 815.203i | 0.532021 | − | 1.13066i | ||||
\(722\) | −461.250 | + | 387.726i | −0.638850 | + | 0.537017i | ||||
\(723\) | 430.677 | + | 115.400i | 0.595680 | + | 0.159612i | ||||
\(724\) | −923.790 | + | 82.4582i | −1.27595 | + | 0.113893i | ||||
\(725\) | 191.857 | − | 51.4080i | 0.264631 | − | 0.0709075i | ||||
\(726\) | −177.403 | − | 379.570i | −0.244357 | − | 0.522824i | ||||
\(727\) | 145.182 | 0.199700 | 0.0998500 | − | 0.995003i | \(-0.468164\pi\) | ||||
0.0998500 | + | 0.995003i | \(0.468164\pi\) | |||||||
\(728\) | 172.679 | + | 475.668i | 0.237197 | + | 0.653390i | ||||
\(729\) | − | 27.0000i | − | 0.0370370i | ||||||
\(730\) | −680.539 | − | 1456.08i | −0.932245 | − | 1.99463i | ||||
\(731\) | 215.943 | + | 805.910i | 0.295408 | + | 1.10248i | ||||
\(732\) | −453.808 | + | 542.763i | −0.619957 | + | 0.741480i | ||||
\(733\) | −102.901 | + | 384.032i | −0.140383 | + | 0.523918i | 0.859534 | + | 0.511078i | \(0.170754\pi\) |
−0.999918 | + | 0.0128395i | \(0.995913\pi\) | |||||||
\(734\) | −37.4347 | + | 31.4675i | −0.0510009 | + | 0.0428713i | ||||
\(735\) | −166.338 | + | 447.319i | −0.226310 | + | 0.608597i | ||||
\(736\) | 438.482 | − | 161.781i | 0.595763 | − | 0.219811i | ||||
\(737\) | 12.6912 | + | 21.9818i | 0.0172200 | + | 0.0298260i | ||||
\(738\) | 55.1540 | + | 311.194i | 0.0747344 | + | 0.421672i | ||||
\(739\) | 136.737 | + | 510.311i | 0.185030 | + | 0.690542i | 0.994624 | + | 0.103552i | \(0.0330207\pi\) |
−0.809594 | + | 0.586990i | \(0.800313\pi\) | |||||||
\(740\) | −1067.51 | + | 390.667i | −1.44257 | + | 0.527929i | ||||
\(741\) | −284.816 | + | 284.816i | −0.384368 | + | 0.384368i | ||||
\(742\) | −406.344 | + | 233.200i | −0.547634 | + | 0.314286i | ||||
\(743\) | − | 900.097i | − | 1.21144i | −0.795679 | − | 0.605718i | \(-0.792886\pi\) | ||
0.795679 | − | 0.605718i | \(-0.207114\pi\) | |||||||
\(744\) | 483.567 | − | 130.939i | 0.649955 | − | 0.175994i | ||||
\(745\) | −45.7381 | + | 79.2207i | −0.0613934 | + | 0.106336i | ||||
\(746\) | −1035.74 | − | 723.877i | −1.38839 | − | 0.970344i | ||||
\(747\) | 267.645 | + | 71.7154i | 0.358294 | + | 0.0960045i | ||||
\(748\) | 16.3986 | + | 23.3321i | 0.0219232 | + | 0.0311927i | ||||
\(749\) | 230.956 | − | 83.1540i | 0.308352 | − | 0.111020i | ||||
\(750\) | −274.058 | + | 230.373i | −0.365411 | + | 0.307164i | ||||
\(751\) | −473.285 | − | 819.754i | −0.630207 | − | 1.09155i | −0.987509 | − | 0.157562i | \(-0.949637\pi\) |
0.357302 | − | 0.933989i | \(-0.383697\pi\) | |||||||
\(752\) | 75.7225 | + | 89.6008i | 0.100695 | + | 0.119150i | ||||
\(753\) | −303.639 | + | 525.919i | −0.403240 | + | 0.698432i | ||||
\(754\) | −185.001 | + | 509.680i | −0.245360 | + | 0.675968i | ||||
\(755\) | −374.788 | − | 374.788i | −0.496408 | − | 0.496408i | ||||
\(756\) | 93.3295 | + | 111.614i | 0.123452 | + | 0.147637i | ||||
\(757\) | 789.374 | + | 789.374i | 1.04277 | + | 1.04277i | 0.999044 | + | 0.0437228i | \(0.0139218\pi\) |
0.0437228 | + | 0.999044i | \(0.486078\pi\) | |||||||
\(758\) | 851.951 | − | 398.184i | 1.12395 | − | 0.525308i | ||||
\(759\) | 2.84493 | − | 4.92756i | 0.00374826 | − | 0.00649217i | ||||
\(760\) | 3.05353 | + | 1157.69i | 0.00401781 | + | 1.52328i | ||||
\(761\) | −504.141 | − | 873.198i | −0.662472 | − | 1.14744i | −0.979964 | − | 0.199174i | \(-0.936174\pi\) |
0.317492 | − | 0.948261i | \(-0.397159\pi\) | |||||||
\(762\) | −14.4176 | + | 166.480i | −0.0189208 | + | 0.218478i | ||||
\(763\) | −227.430 | + | 269.137i | −0.298073 | + | 0.352735i | ||||
\(764\) | −21.0165 | + | 120.429i | −0.0275086 | + | 0.157629i | ||||
\(765\) | −516.524 | − | 138.402i | −0.675194 | − | 0.180918i | ||||
\(766\) | 266.322 | + | 1502.66i | 0.347679 | + | 1.96170i | ||||
\(767\) | 243.305 | − | 421.417i | 0.317217 | − | 0.549435i | ||||
\(768\) | 361.418 | − | 256.875i | 0.470597 | − | 0.334473i | ||||
\(769\) | − | 1084.70i | − | 1.41053i | −0.708944 | − | 0.705264i | \(-0.750828\pi\) | ||
0.708944 | − | 0.705264i | \(-0.249172\pi\) | |||||||
\(770\) | 17.1152 | − | 4.53846i | 0.0222275 | − | 0.00589411i | ||||
\(771\) | −89.5136 | + | 89.5136i | −0.116101 | + | 0.116101i | ||||
\(772\) | −643.582 | + | 235.527i | −0.833655 | + | 0.305087i | ||||
\(773\) | −309.352 | − | 1154.52i | −0.400197 | − | 1.49356i | −0.812745 | − | 0.582620i | \(-0.802028\pi\) |
0.412548 | − | 0.910936i | \(-0.364639\pi\) | |||||||
\(774\) | 90.4687 | − | 129.445i | 0.116885 | − | 0.167241i | ||||
\(775\) | 119.682 | + | 207.296i | 0.154429 | + | 0.267478i | ||||
\(776\) | −148.754 | − | 256.087i | −0.191693 | − | 0.330008i | ||||
\(777\) | 503.146 | − | 349.709i | 0.647549 | − | 0.450076i | ||||
\(778\) | −41.4880 | + | 479.061i | −0.0533265 | + | 0.615759i | ||||
\(779\) | 350.843 | − | 1309.36i | 0.450376 | − | 1.68083i | ||||
\(780\) | 31.2997 | + | 350.655i | 0.0401278 | + | 0.449557i | ||||
\(781\) | 3.14592 | + | 11.7407i | 0.00402806 | + | 0.0150329i | ||||
\(782\) | 315.927 | − | 870.384i | 0.403999 | − | 1.11302i | ||||
\(783\) | 155.893i | 0.199097i | ||||||||
\(784\) | −771.618 | − | 138.786i | −0.984207 | − | 0.177023i | ||||
\(785\) | −1026.01 | −1.30702 | ||||||||
\(786\) | −422.563 | − | 153.380i | −0.537611 | − | 0.195139i | ||||
\(787\) | 1024.84 | − | 274.604i | 1.30221 | − | 0.348925i | 0.459923 | − | 0.887959i | \(-0.347877\pi\) |
0.842284 | + | 0.539033i | \(0.181210\pi\) | |||||||
\(788\) | −11.3232 | − | 126.855i | −0.0143695 | − | 0.160983i | ||||
\(789\) | −56.9806 | − | 15.2679i | −0.0722187 | − | 0.0193510i | ||||
\(790\) | −765.432 | − | 66.2886i | −0.968902 | − | 0.0839096i | ||||
\(791\) | 123.089 | + | 177.095i | 0.155612 | + | 0.223887i | ||||
\(792\) | 1.38336 | − | 5.21778i | 0.00174667 | − | 0.00658810i | ||||
\(793\) | 799.144 | − | 461.386i | 1.00775 | − | 0.581823i | ||||
\(794\) | −148.715 | − | 103.936i | −0.187298 | − | 0.130902i | ||||
\(795\) | −314.830 | + | 84.3584i | −0.396012 | + | 0.106111i | ||||
\(796\) | 19.1220 | − | 6.99795i | 0.0240226 | − | 0.00879139i | ||||
\(797\) | −345.273 | − | 345.273i | −0.433216 | − | 0.433216i | 0.456505 | − | 0.889721i | \(-0.349101\pi\) |
−0.889721 | + | 0.456505i | \(0.849101\pi\) | |||||||
\(798\) | −159.949 | − | 603.190i | −0.200437 | − | 0.755877i | ||||
\(799\) | 232.415 | 0.290883 | ||||||||
\(800\) | 162.888 | + | 135.463i | 0.203609 | + | 0.169329i | ||||
\(801\) | 162.882 | + | 94.0400i | 0.203348 | + | 0.117403i | ||||
\(802\) | 1218.31 | − | 215.926i | 1.51909 | − | 0.269234i | ||||
\(803\) | 8.31944 | − | 31.0486i | 0.0103604 | − | 0.0386657i | ||||
\(804\) | 134.414 | − | 770.216i | 0.167182 | − | 0.957981i | ||||
\(805\) | −439.118 | − | 371.070i | −0.545489 | − | 0.460956i | ||||
\(806\) | −650.993 | − | 56.3778i | −0.807683 | − | 0.0699476i | ||||
\(807\) | −119.226 | + | 68.8353i | −0.147740 | + | 0.0852978i | ||||
\(808\) | 1020.66 | + | 1015.29i | 1.26319 | + | 1.25654i | ||||
\(809\) | 305.931 | + | 176.630i | 0.378160 | + | 0.218331i | 0.677017 | − | 0.735967i | \(-0.263272\pi\) |
−0.298857 | + | 0.954298i | \(0.596606\pi\) | |||||||
\(810\) | 42.8571 | + | 91.6968i | 0.0529100 | + | 0.113206i | ||||
\(811\) | 796.093 | − | 796.093i | 0.981619 | − | 0.981619i | −0.0182149 | − | 0.999834i | \(-0.505798\pi\) |
0.999834 | + | 0.0182149i | \(0.00579832\pi\) | |||||||
\(812\) | −538.867 | − | 644.437i | −0.663630 | − | 0.793642i | ||||
\(813\) | −442.854 | + | 442.854i | −0.544715 | + | 0.544715i | ||||
\(814\) | −21.3697 | − | 7.75666i | −0.0262527 | − | 0.00952907i | ||||
\(815\) | −517.464 | − | 298.758i | −0.634925 | − | 0.366574i | ||||
\(816\) | 73.4847 | − | 875.380i | 0.0900548 | − | 1.07277i | ||||
\(817\) | −586.616 | + | 338.683i | −0.718012 | + | 0.414545i | ||||
\(818\) | 136.427 | + | 162.298i | 0.166781 | + | 0.198408i | ||||
\(819\) | −64.2841 | − | 178.546i | −0.0784909 | − | 0.218004i | ||||
\(820\) | −681.270 | − | 969.323i | −0.830817 | − | 1.18210i | ||||
\(821\) | 86.5633 | − | 323.059i | 0.105436 | − | 0.393494i | −0.892958 | − | 0.450140i | \(-0.851374\pi\) |
0.998394 | + | 0.0566461i | \(0.0180407\pi\) | |||||||
\(822\) | 26.9393 | − | 38.5454i | 0.0327729 | − | 0.0468922i | ||||
\(823\) | 929.795 | + | 536.818i | 1.12976 | + | 0.652269i | 0.943875 | − | 0.330302i | \(-0.107150\pi\) |
0.185888 | + | 0.982571i | \(0.440484\pi\) | |||||||
\(824\) | 893.056 | + | 512.470i | 1.08381 | + | 0.621930i | ||||
\(825\) | 2.57914 | 0.00312623 | ||||||||
\(826\) | 375.254 | + | 653.868i | 0.454302 | + | 0.791608i | ||||
\(827\) | 112.114 | + | 112.114i | 0.135567 | + | 0.135567i | 0.771634 | − | 0.636067i | \(-0.219440\pi\) |
−0.636067 | + | 0.771634i | \(0.719440\pi\) | |||||||
\(828\) | −164.590 | + | 60.2338i | −0.198780 | + | 0.0727462i | ||||
\(829\) | 707.751 | − | 189.641i | 0.853741 | − | 0.228759i | 0.194697 | − | 0.980864i | \(-0.437628\pi\) |
0.659044 | + | 0.752104i | \(0.270961\pi\) | |||||||
\(830\) | −1022.80 | + | 181.275i | −1.23230 | + | 0.218404i | ||||
\(831\) | 643.588 | − | 371.576i | 0.774474 | − | 0.447143i | ||||
\(832\) | −557.830 | + | 152.628i | −0.670468 | + | 0.183448i | ||||
\(833\) | −1196.75 | + | 990.113i | −1.43668 | + | 1.18861i | ||||
\(834\) | −115.519 | − | 137.424i | −0.138512 | − | 0.164777i | ||||
\(835\) | 145.375 | + | 38.9532i | 0.174102 | + | 0.0466506i | ||||
\(836\) | −14.8512 | + | 17.7623i | −0.0177646 | + | 0.0212468i | ||||
\(837\) | −181.466 | + | 48.6238i | −0.216806 | + | 0.0580929i | ||||
\(838\) | −690.133 | + | 322.553i | −0.823547 | + | 0.384908i | ||||
\(839\) | 801.988 | 0.955886 | 0.477943 | − | 0.878391i | \(-0.341383\pi\) | ||||
0.477943 | + | 0.878391i | \(0.341383\pi\) | |||||||
\(840\) | −494.128 | − | 230.918i | −0.588247 | − | 0.274902i | ||||
\(841\) | − | 59.0986i | − | 0.0702718i | ||||||
\(842\) | 739.715 | − | 345.727i | 0.878521 | − | 0.410602i | ||||
\(843\) | −95.0796 | − | 354.842i | −0.112787 | − | 0.420927i | ||||
\(844\) | −268.494 | + | 23.9660i | −0.318121 | + | 0.0283958i | ||||
\(845\) | −127.118 | + | 474.410i | −0.150435 | + | 0.561432i | ||||
\(846\) | −28.3072 | − | 33.6751i | −0.0334601 | − | 0.0398051i | ||||
\(847\) | −766.075 | − | 360.470i | −0.904457 | − | 0.425585i | ||||
\(848\) | −227.990 | − | 484.471i | −0.268856 | − | 0.571310i | ||||
\(849\) | −68.2838 | − | 118.271i | −0.0804285 | − | 0.139306i | ||||
\(850\) | 413.280 | − | 73.2470i | 0.486211 | − | 0.0861730i | ||||
\(851\) | 191.043 | + | 712.980i | 0.224492 | + | 0.837815i | ||||
\(852\) | 157.635 | − | 339.608i | 0.185018 | − | 0.398601i | ||||
\(853\) | 147.448 | − | 147.448i | 0.172858 | − | 0.172858i | −0.615376 | − | 0.788234i | \(-0.710996\pi\) |
0.788234 | + | 0.615376i | \(0.210996\pi\) | |||||||
\(854\) | −3.70716 | + | 1429.63i | −0.00434093 | + | 1.67404i | ||||
\(855\) | − | 434.137i | − | 0.507763i | ||||||
\(856\) | 73.3226 | + | 270.785i | 0.0856572 | + | 0.316337i | ||||
\(857\) | −144.361 | + | 250.041i | −0.168450 | + | 0.291764i | −0.937875 | − | 0.346973i | \(-0.887209\pi\) |
0.769425 | + | 0.638737i | \(0.220543\pi\) | |||||||
\(858\) | −4.03329 | + | 5.77092i | −0.00470080 | + | 0.00672602i | ||||
\(859\) | 802.102 | + | 214.923i | 0.933762 | + | 0.250201i | 0.693458 | − | 0.720497i | \(-0.256086\pi\) |
0.240304 | + | 0.970698i | \(0.422753\pi\) | |||||||
\(860\) | −101.780 | + | 583.219i | −0.118349 | + | 0.678161i | ||||
\(861\) | 487.796 | + | 412.204i | 0.566546 | + | 0.478751i | ||||
\(862\) | 211.266 | + | 251.328i | 0.245088 | + | 0.291564i | ||||
\(863\) | −280.131 | − | 485.200i | −0.324601 | − | 0.562225i | 0.656831 | − | 0.754038i | \(-0.271897\pi\) |
−0.981431 | + | 0.191813i | \(0.938563\pi\) | |||||||
\(864\) | −135.785 | + | 95.9703i | −0.157159 | + | 0.111077i | ||||
\(865\) | −240.717 | + | 416.935i | −0.278286 | + | 0.482005i | ||||
\(866\) | −1023.80 | − | 371.613i | −1.18221 | − | 0.429114i | ||||
\(867\) | −876.678 | − | 876.678i | −1.01116 | − | 1.01116i | ||||
\(868\) | 582.078 | − | 828.268i | 0.670596 | − | 0.954226i | ||||
\(869\) | −10.8649 | − | 10.8649i | −0.0125027 | − | 0.0125027i | ||||
\(870\) | −247.449 | − | 529.441i | −0.284424 | − | 0.608553i | ||||
\(871\) | −509.888 | + | 883.152i | −0.585405 | + | 1.01395i | ||||
\(872\) | −285.501 | − | 283.999i | −0.327410 | − | 0.325687i | ||||
\(873\) | 55.5291 | + | 96.1792i | 0.0636072 | + | 0.110171i | ||||
\(874\) | 748.935 | + | 64.8599i | 0.856905 | + | 0.0742104i | ||||
\(875\) | −128.101 | + | 712.032i | −0.146401 | + | 0.813751i | ||||
\(876\) | −810.069 | + | 569.342i | −0.924737 | + | 0.649934i | ||||
\(877\) | 836.787 | + | 224.216i | 0.954147 | + | 0.255663i | 0.702121 | − | 0.712058i | \(-0.252237\pi\) |
0.252026 | + | 0.967720i | \(0.418903\pi\) | |||||||
\(878\) | −1090.57 | + | 193.285i | −1.24210 | + | 0.220142i | ||||
\(879\) | −75.2560 | + | 130.347i | −0.0856155 | + | 0.148290i | ||||
\(880\) | 3.58405 | + | 19.9163i | 0.00407278 | + | 0.0226322i | ||||
\(881\) | 1043.70i | 1.18467i | 0.805691 | + | 0.592337i | \(0.201794\pi\) | ||||
−0.805691 | + | 0.592337i | \(0.798206\pi\) | |||||||
\(882\) | 289.219 | + | 52.8077i | 0.327912 | + | 0.0598727i | ||||
\(883\) | −737.560 | + | 737.560i | −0.835289 | + | 0.835289i | −0.988235 | − | 0.152945i | \(-0.951124\pi\) |
0.152945 | + | 0.988235i | \(0.451124\pi\) | |||||||
\(884\) | −482.398 | + | 1039.27i | −0.545699 | + | 1.17565i | ||||
\(885\) | 135.745 | + | 506.608i | 0.153384 | + | 0.572438i | ||||
\(886\) | 513.354 | + | 358.782i | 0.579406 | + | 0.404946i | ||||
\(887\) | −780.535 | − | 1351.93i | −0.879972 | − | 1.52416i | −0.851370 | − | 0.524566i | \(-0.824228\pi\) |
−0.0286025 | − | 0.999591i | \(-0.509106\pi\) | |||||||
\(888\) | 351.736 | + | 605.531i | 0.396100 | + | 0.681904i | ||||
\(889\) | 192.718 | + | 277.274i | 0.216781 | + | 0.311894i | ||||
\(890\) | −702.446 | − | 60.8338i | −0.789265 | − | 0.0683526i | ||||
\(891\) | −0.523919 | + | 1.95529i | −0.000588012 | + | 0.00219449i | ||||
\(892\) | 67.0682 | − | 80.2148i | 0.0751886 | − | 0.0899269i | ||||
\(893\) | 48.8362 | + | 182.259i | 0.0546878 | + | 0.204098i | ||||
\(894\) | 52.9711 | + | 19.2272i | 0.0592518 | + | 0.0215069i | ||||
\(895\) | − | 279.910i | − | 0.312748i | ||||||
\(896\) | 229.580 | − | 866.088i | 0.256227 | − | 0.966617i | ||||
\(897\) | 228.599 | 0.254848 | ||||||||
\(898\) | 409.519 | − | 1128.23i | 0.456035 | − | 1.25638i | ||||
\(899\) | 1047.75 | − | 280.745i | 1.16547 | − | 0.312286i | ||||
\(900\) | −60.9486 | − | 50.9596i | −0.0677207 | − | 0.0566218i | ||||
\(901\) | −1024.64 | − | 274.552i | −1.13723 | − | 0.304719i | ||||
\(902\) | 2.04437 | − | 23.6063i | 0.00226649 | − | 0.0261711i | ||||
\(903\) | −26.7095 | − | 318.005i | −0.0295786 | − | 0.352165i | ||||
\(904\) | −213.132 | + | 123.803i | −0.235766 | + | 0.136950i | ||||
\(905\) | −1129.15 | + | 651.915i | −1.24768 | + | 0.720348i | ||||
\(906\) | −187.048 | + | 267.632i | −0.206454 | + | 0.295400i | ||||
\(907\) | 843.102 | − | 225.909i | 0.929550 | − | 0.249072i | 0.237887 | − | 0.971293i | \(-0.423545\pi\) |
0.691663 | + | 0.722220i | \(0.256878\pi\) | |||||||
\(908\) | 1096.41 | + | 508.918i | 1.20750 | + | 0.560483i | ||||
\(909\) | −381.741 | − | 381.741i | −0.419957 | − | 0.419957i | ||||
\(910\) | 501.726 | + | 504.334i | 0.551347 | + | 0.554214i | ||||
\(911\) | 292.574 | 0.321157 | 0.160578 | − | 0.987023i | \(-0.448664\pi\) | ||||
0.160578 | + | 0.987023i | \(0.448664\pi\) | |||||||
\(912\) | 701.910 | − | 126.312i | 0.769638 | − | 0.138501i | ||||
\(913\) | −17.9908 | − | 10.3870i | −0.0197051 | − | 0.0113768i | ||||
\(914\) | 250.879 | + | 1415.53i | 0.274485 | + | 1.54872i | ||||
\(915\) | −257.417 | + | 960.693i | −0.281330 | + | 1.04994i | ||||
\(916\) | 215.503 | + | 306.621i | 0.235265 | + | 0.334739i | ||||
\(917\) | −854.684 | + | 307.723i | −0.932044 | + | 0.335576i | ||||
\(918\) | −28.4225 | + | 328.194i | −0.0309613 | + | 0.357509i | ||||
\(919\) | 1113.06 | − | 642.623i | 1.21116 | − | 0.699264i | 0.248148 | − | 0.968722i | \(-0.420178\pi\) |
0.963012 | + | 0.269458i | \(0.0868446\pi\) | |||||||
\(920\) | 463.368 | − | 465.819i | 0.503661 | − | 0.506325i | ||||
\(921\) | −646.996 | − | 373.543i | −0.702493 | − | 0.405585i | ||||
\(922\) | −1105.89 | + | 516.867i | −1.19944 | + | 0.560593i | ||||
\(923\) | −345.310 | + | 345.310i | −0.374117 | + | 0.374117i | ||||
\(924\) | −4.59295 | − | 9.89386i | −0.00497073 | − | 0.0107076i | ||||
\(925\) | −236.588 | + | 236.588i | −0.255771 | + | 0.255771i | ||||
\(926\) | −71.0841 | + | 195.837i | −0.0767647 | + | 0.211488i | ||||
\(927\) | −334.388 | − | 193.059i | −0.360720 | − | 0.208262i | ||||
\(928\) | 784.001 | − | 554.115i | 0.844828 | − | 0.597107i | ||||
\(929\) | 178.728 | − | 103.188i | 0.192387 | − | 0.111075i | −0.400712 | − | 0.916204i | \(-0.631237\pi\) |
0.593100 | + | 0.805129i | \(0.297904\pi\) | |||||||
\(930\) | 539.112 | − | 453.177i | 0.579690 | − | 0.487287i | ||||
\(931\) | −1027.91 | − | 730.440i | −1.10409 | − | 0.784576i | ||||
\(932\) | 1345.43 | + | 234.797i | 1.44360 | + | 0.251929i | ||||
\(933\) | −61.8240 | + | 230.730i | −0.0662636 | + | 0.247299i | ||||
\(934\) | 740.190 | + | 517.317i | 0.792495 | + | 0.553873i | ||||
\(935\) | 34.7201 | + | 20.0457i | 0.0371338 | + | 0.0214392i | ||||
\(936\) | 209.336 | − | 56.6837i | 0.223650 | − | 0.0605595i | ||||
\(937\) | −430.745 | −0.459707 | −0.229853 | − | 0.973225i | \(-0.573825\pi\) | ||||
−0.229853 | + | 0.973225i | \(0.573825\pi\) | |||||||
\(938\) | −786.409 | − | 1370.29i | −0.838389 | − | 1.46087i | ||||
\(939\) | −336.107 | − | 336.107i | −0.357942 | − | 0.357942i | ||||
\(940\) | 149.589 | + | 69.4345i | 0.159137 | + | 0.0738664i | ||||
\(941\) | −549.626 | + | 147.272i | −0.584087 | + | 0.156506i | −0.538750 | − | 0.842466i | \(-0.681103\pi\) |
−0.0453378 | + | 0.998972i | \(0.514436\pi\) | |||||||
\(942\) | 110.303 | + | 622.359i | 0.117094 | + | 0.660678i | ||||
\(943\) | −666.256 | + | 384.663i | −0.706528 | + | 0.407914i | ||||
\(944\) | −779.585 | + | 366.870i | −0.825832 | + | 0.388633i | ||||
\(945\) | 185.069 | + | 87.0827i | 0.195840 | + | 0.0921510i | ||||
\(946\) | −9.06338 | + | 7.61867i | −0.00958074 | + | 0.00805356i | ||||
\(947\) | 322.726 | + | 86.4742i | 0.340788 | + | 0.0913139i | 0.425154 | − | 0.905121i | \(-0.360220\pi\) |
−0.0843662 | + | 0.996435i | \(0.526887\pi\) | |||||||
\(948\) | 42.0798 | + | 471.425i | 0.0443879 | + | 0.497284i | ||||
\(949\) | 1247.43 | − | 334.247i | 1.31446 | − | 0.352209i | ||||
\(950\) | 144.280 | + | 308.701i | 0.151874 | + | 0.324948i | ||||
\(951\) | 490.888 | 0.516181 | ||||||||
\(952\) | −1016.96 | − | 1454.95i | −1.06823 | − | 1.52831i | ||||
\(953\) | − | 185.513i | − | 0.194662i | −0.995252 | − | 0.0973310i | \(-0.968969\pi\) | ||
0.995252 | − | 0.0973310i | \(-0.0310305\pi\) | |||||||
\(954\) | 85.0168 | + | 181.901i | 0.0891161 | + | 0.190672i | ||||
\(955\) | 44.4800 | + | 166.002i | 0.0465759 | + | 0.173824i | ||||
\(956\) | −1155.49 | − | 966.111i | −1.20867 | − | 1.01058i | ||||
\(957\) | 3.02501 | − | 11.2895i | 0.00316093 | − | 0.0117968i | ||||
\(958\) | 113.649 | − | 95.5333i | 0.118632 | − | 0.0997216i | ||||
\(959\) | −7.95341 | − | 94.6938i | −0.00829344 | − | 0.0987422i | ||||
\(960\) | 308.818 | − | 541.465i | 0.321685 | − | 0.564026i | ||||
\(961\) | 173.099 | + | 299.815i | 0.180123 | + | 0.311983i | ||||
\(962\) | −159.396 | − | 899.354i | −0.165692 | − | 0.934879i | ||||
\(963\) | −27.2280 | − | 101.616i | −0.0282742 | − | 0.105521i | ||||
\(964\) | 353.876 | + | 966.973i | 0.367091 | + | 1.00308i | ||||
\(965\) | −681.249 | + | 681.249i | −0.705958 | + | 0.705958i | ||||
\(966\) | −177.877 | + | 306.254i | −0.184137 | + | 0.317034i | ||||
\(967\) | 1398.42i | 1.44614i | 0.690776 | + | 0.723069i | \(0.257269\pi\) | ||||
−0.690776 | + | 0.723069i | \(0.742731\pi\) | |||||||
\(968\) | 481.586 | − | 839.235i | 0.497506 | − | 0.866979i | ||||
\(969\) | 706.469 | − | 1223.64i | 0.729070 | − | 1.26279i | ||||
\(970\) | −341.252 | − | 238.500i | −0.351806 | − | 0.245877i | ||||
\(971\) | −545.569 | − | 146.185i | −0.561863 | − | 0.150551i | −0.0333007 | − | 0.999445i | \(-0.510602\pi\) |
−0.528562 | + | 0.848895i | \(0.677269\pi\) | |||||||
\(972\) | 51.0143 | − | 35.8544i | 0.0524838 | − | 0.0368873i | ||||
\(973\) | −357.043 | − | 64.2354i | −0.366951 | − | 0.0660179i | ||||
\(974\) | 14.6630 | − | 12.3257i | 0.0150544 | − | 0.0126547i | ||||
\(975\) | 51.8105 | + | 89.7384i | 0.0531390 | + | 0.0920394i | ||||
\(976\) | −1628.14 | − | 136.676i | −1.66817 | − | 0.140037i | ||||
\(977\) | −80.7105 | + | 139.795i | −0.0826106 | + | 0.143086i | −0.904371 | − | 0.426748i | \(-0.859659\pi\) |
0.821760 | + | 0.569834i | \(0.192992\pi\) | |||||||
\(978\) | −125.591 | + | 346.003i | −0.128416 | + | 0.353787i | ||||
\(979\) | −9.97083 | − | 9.97083i | −0.0101847 | − | 0.0101847i | ||||
\(980\) | −1066.06 | + | 279.732i | −1.08782 | + | 0.285441i | ||||
\(981\) | 106.782 | + | 106.782i | 0.108850 | + | 0.108850i | ||||
\(982\) | −1414.42 | + | 661.070i | −1.44035 | + | 0.673187i | ||||
\(983\) | −824.636 | + | 1428.31i | −0.838897 | + | 1.45301i | 0.0519208 | + | 0.998651i | \(0.483466\pi\) |
−0.890818 | + | 0.454361i | \(0.849868\pi\) | |||||||
\(984\) | −514.734 | + | 517.456i | −0.523103 | + | 0.525870i | ||||
\(985\) | −89.5209 | − | 155.055i | −0.0908841 | − | 0.157416i | ||||
\(986\) | 164.106 | − | 1894.93i | 0.166436 | − | 1.92184i | ||||
\(987\) | −87.4914 | − | 15.7405i | −0.0886438 | − | 0.0159479i | ||||
\(988\) | −916.357 | − | 159.918i | −0.927487 | − | 0.161860i | ||||
\(989\) | 371.331 | + | 99.4977i | 0.375461 | + | 0.100604i | ||||
\(990\) | −1.32431 | − | 7.47213i | −0.00133769 | − | 0.00754761i | ||||
\(991\) | −454.076 | + | 786.483i | −0.458200 | + | 0.793626i | −0.998866 | − | 0.0476118i | \(-0.984839\pi\) |
0.540666 | + | 0.841237i | \(0.318172\pi\) | |||||||
\(992\) | 889.548 | + | 739.780i | 0.896722 | + | 0.745746i | ||||
\(993\) | − | 721.646i | − | 0.726733i | ||||||
\(994\) | −193.921 | − | 731.304i | −0.195092 | − | 0.735718i | ||||
\(995\) | 20.2412 | − | 20.2412i | 0.0203429 | − | 0.0203429i | ||||
\(996\) | 219.917 | + | 600.928i | 0.220800 | + | 0.603341i | ||||
\(997\) | −228.030 | − | 851.021i | −0.228717 | − | 0.853582i | −0.980881 | − | 0.194607i | \(-0.937657\pi\) |
0.752165 | − | 0.658975i | \(-0.229010\pi\) | |||||||
\(998\) | 1058.62 | − | 1514.70i | 1.06074 | − | 1.51773i | ||||
\(999\) | −131.302 | − | 227.421i | −0.131433 | − | 0.227649i |
(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 | 336.3.bv.a.325.39 | yes | 256 | |
7.5 | odd | 6 | inner | 336.3.bv.a.229.5 | yes | 256 | |
16.13 | even | 4 | inner | 336.3.bv.a.157.5 | yes | 256 | |
112.61 | odd | 12 | inner | 336.3.bv.a.61.39 | ✓ | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.3.bv.a.61.39 | ✓ | 256 | 112.61 | odd | 12 | inner | |
336.3.bv.a.157.5 | yes | 256 | 16.13 | even | 4 | inner | |
336.3.bv.a.229.5 | yes | 256 | 7.5 | odd | 6 | inner | |
336.3.bv.a.325.39 | yes | 256 | 1.1 | even | 1 | trivial |