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 | 325.20 | ||
Character | \(\chi\) | \(=\) | 336.325 |
Dual form | 336.3.bv.a.61.20 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08869 | + | 1.67772i | −0.544347 | + | 0.838860i | ||||
\(3\) | −1.67303 | + | 0.448288i | −0.557678 | + | 0.149429i | ||||
\(4\) | −1.62949 | − | 3.65305i | −0.407373 | − | 0.913262i | ||||
\(5\) | 4.74630 | + | 1.27177i | 0.949260 | + | 0.254354i | 0.700048 | − | 0.714095i | \(-0.253162\pi\) |
0.249212 | + | 0.968449i | \(0.419828\pi\) | |||||||
\(6\) | 1.06932 | − | 3.29493i | 0.178220 | − | 0.549155i | ||||
\(7\) | −6.99296 | − | 0.313761i | −0.998995 | − | 0.0448230i | ||||
\(8\) | 7.90281 | + | 1.24322i | 0.987851 | + | 0.155402i | ||||
\(9\) | 2.59808 | − | 1.50000i | 0.288675 | − | 0.166667i | ||||
\(10\) | −7.30094 | + | 6.57840i | −0.730094 | + | 0.657840i | ||||
\(11\) | −0.461633 | + | 0.123694i | −0.0419666 | + | 0.0112449i | −0.279741 | − | 0.960075i | \(-0.590249\pi\) |
0.237775 | + | 0.971320i | \(0.423582\pi\) | |||||||
\(12\) | 4.36381 | + | 5.38119i | 0.363651 | + | 0.448432i | ||||
\(13\) | 5.87506 | + | 5.87506i | 0.451927 | + | 0.451927i | 0.895994 | − | 0.444066i | \(-0.146465\pi\) |
−0.444066 | + | 0.895994i | \(0.646465\pi\) | |||||||
\(14\) | 8.13960 | − | 11.3907i | 0.581400 | − | 0.813618i | ||||
\(15\) | −8.51084 | −0.567389 | ||||||||
\(16\) | −10.6895 | + | 11.9052i | −0.668095 | + | 0.744076i | ||||
\(17\) | −3.44573 | − | 1.98939i | −0.202690 | − | 0.117023i | 0.395220 | − | 0.918587i | \(-0.370669\pi\) |
−0.597910 | + | 0.801564i | \(0.704002\pi\) | |||||||
\(18\) | −0.311929 | + | 5.99189i | −0.0173294 | + | 0.332883i | ||||
\(19\) | −6.74992 | + | 25.1911i | −0.355259 | + | 1.32584i | 0.524899 | + | 0.851164i | \(0.324103\pi\) |
−0.880158 | + | 0.474680i | \(0.842564\pi\) | |||||||
\(20\) | −3.08823 | − | 19.4108i | −0.154412 | − | 0.970540i | ||||
\(21\) | 11.8401 | − | 2.60993i | 0.563815 | − | 0.124282i | ||||
\(22\) | 0.295053 | − | 0.909156i | 0.0134115 | − | 0.0413253i | ||||
\(23\) | −22.3169 | + | 12.8847i | −0.970301 | + | 0.560203i | −0.899328 | − | 0.437275i | \(-0.855944\pi\) |
−0.0709729 | + | 0.997478i | \(0.522610\pi\) | |||||||
\(24\) | −13.7790 | + | 1.46279i | −0.574124 | + | 0.0609495i | ||||
\(25\) | −0.740644 | − | 0.427611i | −0.0296257 | − | 0.0171044i | ||||
\(26\) | −16.2528 | + | 3.46056i | −0.625109 | + | 0.133099i | ||||
\(27\) | −3.67423 | + | 3.67423i | −0.136083 | + | 0.136083i | ||||
\(28\) | 10.2488 | + | 26.0569i | 0.366028 | + | 0.930604i | ||||
\(29\) | −1.30568 | + | 1.30568i | −0.0450233 | + | 0.0450233i | −0.729260 | − | 0.684237i | \(-0.760136\pi\) |
0.684237 | + | 0.729260i | \(0.260136\pi\) | |||||||
\(30\) | 9.26569 | − | 14.2788i | 0.308856 | − | 0.475960i | ||||
\(31\) | −7.89680 | − | 4.55922i | −0.254735 | − | 0.147072i | 0.367195 | − | 0.930144i | \(-0.380318\pi\) |
−0.621931 | + | 0.783072i | \(0.713651\pi\) | |||||||
\(32\) | −8.33603 | − | 30.8952i | −0.260501 | − | 0.965474i | ||||
\(33\) | 0.716877 | − | 0.413889i | 0.0217235 | − | 0.0125421i | ||||
\(34\) | 7.08899 | − | 3.61513i | 0.208500 | − | 0.106327i | ||||
\(35\) | −32.7917 | − | 10.3826i | −0.936906 | − | 0.296647i | ||||
\(36\) | −9.71312 | − | 7.04666i | −0.269809 | − | 0.195741i | ||||
\(37\) | −2.45126 | + | 9.14823i | −0.0662503 | + | 0.247250i | −0.991107 | − | 0.133066i | \(-0.957518\pi\) |
0.924857 | + | 0.380315i | \(0.124185\pi\) | |||||||
\(38\) | −34.9149 | − | 38.7498i | −0.918814 | − | 1.01973i | ||||
\(39\) | −12.4629 | − | 7.19544i | −0.319561 | − | 0.184499i | ||||
\(40\) | 35.9280 | + | 15.9512i | 0.898201 | + | 0.398781i | ||||
\(41\) | −36.6020 | −0.892731 | −0.446366 | − | 0.894851i | \(-0.647282\pi\) | ||||
−0.446366 | + | 0.894851i | \(0.647282\pi\) | |||||||
\(42\) | −8.51153 | + | 22.7058i | −0.202655 | + | 0.540615i | ||||
\(43\) | −44.4923 | − | 44.4923i | −1.03470 | − | 1.03470i | −0.999376 | − | 0.0353291i | \(-0.988752\pi\) |
−0.0353291 | − | 0.999376i | \(-0.511248\pi\) | |||||||
\(44\) | 1.20409 | + | 1.48481i | 0.0273656 | + | 0.0337457i | ||||
\(45\) | 14.2389 | − | 3.81530i | 0.316420 | − | 0.0847845i | ||||
\(46\) | 2.67940 | − | 51.4690i | 0.0582478 | − | 1.11889i | ||||
\(47\) | −29.6352 | + | 17.1099i | −0.630536 | + | 0.364040i | −0.780960 | − | 0.624582i | \(-0.785270\pi\) |
0.150424 | + | 0.988622i | \(0.451936\pi\) | |||||||
\(48\) | 12.5469 | − | 24.7098i | 0.261395 | − | 0.514788i | ||||
\(49\) | 48.8031 | + | 4.38824i | 0.995982 | + | 0.0895559i | ||||
\(50\) | 1.52375 | − | 0.777056i | 0.0304749 | − | 0.0155411i | ||||
\(51\) | 6.65664 | + | 1.78364i | 0.130522 | + | 0.0349734i | ||||
\(52\) | 11.8885 | − | 31.0352i | 0.228625 | − | 0.596831i | ||||
\(53\) | −64.8766 | + | 17.3836i | −1.22409 | + | 0.327993i | −0.812274 | − | 0.583276i | \(-0.801771\pi\) |
−0.411812 | + | 0.911269i | \(0.635104\pi\) | |||||||
\(54\) | −2.16422 | − | 10.1645i | −0.0400782 | − | 0.188231i | ||||
\(55\) | −2.34836 | −0.0426975 | ||||||||
\(56\) | −54.8740 | − | 11.1734i | −0.979893 | − | 0.199525i | ||||
\(57\) | − | 45.1714i | − | 0.792480i | ||||||
\(58\) | −0.769078 | − | 3.61204i | −0.0132600 | − | 0.0622765i | ||||
\(59\) | −9.62420 | − | 35.9180i | −0.163122 | − | 0.608779i | −0.998272 | − | 0.0587577i | \(-0.981286\pi\) |
0.835150 | − | 0.550022i | \(-0.185381\pi\) | |||||||
\(60\) | 13.8683 | + | 31.0905i | 0.231139 | + | 0.518175i | ||||
\(61\) | 5.04685 | − | 18.8351i | 0.0827352 | − | 0.308772i | −0.912140 | − | 0.409878i | \(-0.865571\pi\) |
0.994876 | + | 0.101106i | \(0.0322380\pi\) | |||||||
\(62\) | 16.2463 | − | 8.28503i | 0.262037 | − | 0.133629i | ||||
\(63\) | −18.6389 | + | 9.67427i | −0.295855 | + | 0.153560i | ||||
\(64\) | 60.9088 | + | 19.6498i | 0.951700 | + | 0.307029i | ||||
\(65\) | 20.4131 | + | 35.3565i | 0.314047 | + | 0.543946i | ||||
\(66\) | −0.0860692 | + | 1.65332i | −0.00130408 | + | 0.0250503i | ||||
\(67\) | 27.3644 | + | 102.126i | 0.408425 | + | 1.52426i | 0.797651 | + | 0.603119i | \(0.206076\pi\) |
−0.389226 | + | 0.921142i | \(0.627258\pi\) | |||||||
\(68\) | −1.65256 | + | 15.8291i | −0.0243023 | + | 0.232781i | ||||
\(69\) | 31.5609 | − | 31.5609i | 0.457404 | − | 0.457404i | ||||
\(70\) | 53.1193 | − | 43.7118i | 0.758847 | − | 0.624454i | ||||
\(71\) | − | 36.6862i | − | 0.516707i | −0.966050 | − | 0.258353i | \(-0.916820\pi\) | ||
0.966050 | − | 0.258353i | \(-0.0831799\pi\) | |||||||
\(72\) | 22.3969 | − | 8.62424i | 0.311068 | − | 0.119781i | ||||
\(73\) | −35.8516 | + | 62.0967i | −0.491117 | + | 0.850640i | −0.999948 | − | 0.0102268i | \(-0.996745\pi\) |
0.508831 | + | 0.860867i | \(0.330078\pi\) | |||||||
\(74\) | −12.6795 | − | 14.0722i | −0.171345 | − | 0.190164i | ||||
\(75\) | 1.43081 | + | 0.383385i | 0.0190775 | + | 0.00511180i | ||||
\(76\) | 103.023 | − | 16.3908i | 1.35557 | − | 0.215669i | ||||
\(77\) | 3.26699 | − | 0.720147i | 0.0424285 | − | 0.00935256i | ||||
\(78\) | 25.6402 | − | 13.0756i | 0.328721 | − | 0.167636i | ||||
\(79\) | 31.4824 | + | 54.5291i | 0.398512 | + | 0.690242i | 0.993543 | − | 0.113461i | \(-0.0361935\pi\) |
−0.595031 | + | 0.803703i | \(0.702860\pi\) | |||||||
\(80\) | −65.8763 | + | 42.9112i | −0.823454 | + | 0.536390i | ||||
\(81\) | 4.50000 | − | 7.79423i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | 39.8484 | − | 61.4079i | 0.485955 | − | 0.748877i | ||||
\(83\) | −1.88968 | − | 1.88968i | −0.0227673 | − | 0.0227673i | 0.695632 | − | 0.718399i | \(-0.255125\pi\) |
−0.718399 | + | 0.695632i | \(0.755125\pi\) | |||||||
\(84\) | −28.8276 | − | 38.9996i | −0.343185 | − | 0.464281i | ||||
\(85\) | −13.8244 | − | 13.8244i | −0.162640 | − | 0.162640i | ||||
\(86\) | 123.084 | − | 26.2072i | 1.43121 | − | 0.304734i | ||||
\(87\) | 1.59912 | − | 2.76976i | 0.0183807 | − | 0.0318363i | ||||
\(88\) | −3.80198 | + | 0.403621i | −0.0432043 | + | 0.00458661i | ||||
\(89\) | −3.53701 | − | 6.12629i | −0.0397417 | − | 0.0688347i | 0.845470 | − | 0.534022i | \(-0.179320\pi\) |
−0.885212 | + | 0.465188i | \(0.845987\pi\) | |||||||
\(90\) | −9.10080 | + | 28.0426i | −0.101120 | + | 0.311584i | ||||
\(91\) | −39.2407 | − | 42.9274i | −0.431216 | − | 0.471730i | ||||
\(92\) | 83.4336 | + | 60.5293i | 0.906887 | + | 0.657927i | ||||
\(93\) | 15.2554 | + | 4.08768i | 0.164037 | + | 0.0439536i | ||||
\(94\) | 3.55804 | − | 68.3470i | 0.0378515 | − | 0.727096i | ||||
\(95\) | −64.0743 | + | 110.980i | −0.674467 | + | 1.16821i | ||||
\(96\) | 27.7964 | + | 47.9517i | 0.289546 | + | 0.499496i | ||||
\(97\) | 154.578i | 1.59359i | 0.604251 | + | 0.796794i | \(0.293472\pi\) | ||||
−0.604251 | + | 0.796794i | \(0.706528\pi\) | |||||||
\(98\) | −60.4939 | + | 77.1005i | −0.617284 | + | 0.786740i | ||||
\(99\) | −1.01382 | + | 1.01382i | −0.0102406 | + | 0.0102406i | ||||
\(100\) | −0.355210 | + | 3.40239i | −0.00355210 | + | 0.0340239i | ||||
\(101\) | −1.58012 | − | 5.89707i | −0.0156447 | − | 0.0583868i | 0.957662 | − | 0.287894i | \(-0.0929552\pi\) |
−0.973307 | + | 0.229507i | \(0.926288\pi\) | |||||||
\(102\) | −10.2395 | + | 9.22615i | −0.100387 | + | 0.0904524i | ||||
\(103\) | 31.4369 | + | 54.4503i | 0.305213 | + | 0.528644i | 0.977309 | − | 0.211820i | \(-0.0679392\pi\) |
−0.672096 | + | 0.740464i | \(0.734606\pi\) | |||||||
\(104\) | 39.1255 | + | 53.7334i | 0.376206 | + | 0.516668i | ||||
\(105\) | 59.5160 | + | 2.67037i | 0.566819 | + | 0.0254321i | ||||
\(106\) | 41.4659 | − | 127.770i | 0.391187 | − | 1.20538i | ||||
\(107\) | −18.6087 | + | 69.4487i | −0.173913 | + | 0.649053i | 0.822821 | + | 0.568301i | \(0.192399\pi\) |
−0.996734 | + | 0.0807525i | \(0.974268\pi\) | |||||||
\(108\) | 19.4093 | + | 7.43502i | 0.179716 | + | 0.0688428i | ||||
\(109\) | 35.1390 | + | 131.140i | 0.322376 | + | 1.20312i | 0.916924 | + | 0.399063i | \(0.130664\pi\) |
−0.594548 | + | 0.804060i | \(0.702669\pi\) | |||||||
\(110\) | 2.55665 | − | 3.93989i | 0.0232422 | − | 0.0358172i | ||||
\(111\) | − | 16.4042i | − | 0.147785i | ||||||
\(112\) | 78.4868 | − | 79.8988i | 0.700775 | − | 0.713383i | ||||
\(113\) | 140.502 | 1.24338 | 0.621690 | − | 0.783263i | \(-0.286446\pi\) | ||||
0.621690 | + | 0.783263i | \(0.286446\pi\) | |||||||
\(114\) | 75.7849 | + | 49.1778i | 0.664780 | + | 0.431384i | ||||
\(115\) | −122.309 | + | 32.7726i | −1.06356 | + | 0.284979i | ||||
\(116\) | 6.89728 | + | 2.64211i | 0.0594593 | + | 0.0227768i | ||||
\(117\) | 24.0764 | + | 6.45126i | 0.205781 | + | 0.0551390i | ||||
\(118\) | 70.7381 | + | 22.9570i | 0.599476 | + | 0.194551i | ||||
\(119\) | 23.4717 | + | 14.9929i | 0.197241 | + | 0.125991i | ||||
\(120\) | −67.2595 | − | 10.5808i | −0.560496 | − | 0.0881736i | ||||
\(121\) | −104.591 | + | 60.3858i | −0.864391 | + | 0.499056i | ||||
\(122\) | 26.1056 | + | 28.9729i | 0.213980 | + | 0.237482i | ||||
\(123\) | 61.2363 | − | 16.4082i | 0.497856 | − | 0.133400i | ||||
\(124\) | −3.78727 | + | 36.2766i | −0.0305425 | + | 0.292553i | ||||
\(125\) | −89.8349 | − | 89.8349i | −0.718679 | − | 0.718679i | ||||
\(126\) | 4.06133 | − | 41.8032i | 0.0322327 | − | 0.331771i | ||||
\(127\) | −152.373 | −1.19979 | −0.599894 | − | 0.800080i | \(-0.704790\pi\) | ||||
−0.599894 | + | 0.800080i | \(0.704790\pi\) | |||||||
\(128\) | −99.2780 | + | 80.7953i | −0.775609 | + | 0.631213i | ||||
\(129\) | 94.3824 | + | 54.4917i | 0.731647 | + | 0.422416i | ||||
\(130\) | −81.5419 | − | 4.24495i | −0.627246 | − | 0.0326535i | ||||
\(131\) | 58.9186 | − | 219.887i | 0.449761 | − | 1.67853i | −0.253291 | − | 0.967390i | \(-0.581513\pi\) |
0.703051 | − | 0.711139i | \(-0.251820\pi\) | |||||||
\(132\) | −2.68010 | − | 1.94436i | −0.0203038 | − | 0.0147300i | ||||
\(133\) | 55.1059 | − | 174.042i | 0.414330 | − | 1.30859i | ||||
\(134\) | −201.130 | − | 65.2735i | −1.50097 | − | 0.487116i | ||||
\(135\) | −22.1118 | + | 12.7663i | −0.163791 | + | 0.0945648i | ||||
\(136\) | −24.7577 | − | 20.0056i | −0.182042 | − | 0.147100i | ||||
\(137\) | 29.6539 | + | 17.1207i | 0.216452 | + | 0.124969i | 0.604306 | − | 0.796752i | \(-0.293450\pi\) |
−0.387854 | + | 0.921721i | \(0.626784\pi\) | |||||||
\(138\) | 18.5902 | + | 87.3105i | 0.134712 | + | 0.632685i | ||||
\(139\) | 24.5128 | − | 24.5128i | 0.176351 | − | 0.176351i | −0.613412 | − | 0.789763i | \(-0.710203\pi\) |
0.789763 | + | 0.613412i | \(0.210203\pi\) | |||||||
\(140\) | 15.5055 | + | 136.708i | 0.110754 | + | 0.976486i | ||||
\(141\) | 41.9105 | − | 41.9105i | 0.297237 | − | 0.297237i | ||||
\(142\) | 61.5492 | + | 39.9400i | 0.433445 | + | 0.281268i | ||||
\(143\) | −3.43883 | − | 1.98541i | −0.0240478 | − | 0.0138840i | ||||
\(144\) | −9.91433 | + | 46.9649i | −0.0688495 | + | 0.326145i | ||||
\(145\) | −7.85764 | + | 4.53661i | −0.0541907 | + | 0.0312870i | ||||
\(146\) | −65.1496 | − | 127.753i | −0.446230 | − | 0.875022i | ||||
\(147\) | −83.6164 | + | 14.5362i | −0.568819 | + | 0.0988855i | ||||
\(148\) | 37.4132 | − | 5.95240i | 0.252792 | − | 0.0402189i | ||||
\(149\) | 18.3741 | − | 68.5730i | 0.123316 | − | 0.460222i | −0.876458 | − | 0.481478i | \(-0.840100\pi\) |
0.999774 | + | 0.0212565i | \(0.00676668\pi\) | |||||||
\(150\) | −2.20093 | + | 1.98312i | −0.0146729 | + | 0.0132208i | ||||
\(151\) | 192.045 | + | 110.877i | 1.27182 | + | 0.734286i | 0.975330 | − | 0.220750i | \(-0.0708505\pi\) |
0.296490 | + | 0.955036i | \(0.404184\pi\) | |||||||
\(152\) | −84.6613 | + | 190.688i | −0.556982 | + | 1.25453i | ||||
\(153\) | −11.9364 | −0.0780155 | ||||||||
\(154\) | −2.34855 | + | 6.26512i | −0.0152503 | + | 0.0406826i | ||||
\(155\) | −31.6823 | − | 31.6823i | −0.204402 | − | 0.204402i | ||||
\(156\) | −5.97715 | + | 57.2524i | −0.0383150 | + | 0.367003i | ||||
\(157\) | 245.770 | − | 65.8539i | 1.56542 | − | 0.419452i | 0.631043 | − | 0.775748i | \(-0.282627\pi\) |
0.934373 | + | 0.356296i | \(0.115961\pi\) | |||||||
\(158\) | −125.759 | − | 6.54684i | −0.795945 | − | 0.0414357i | ||||
\(159\) | 100.748 | − | 58.1668i | 0.633634 | − | 0.365829i | ||||
\(160\) | −0.273851 | − | 157.239i | −0.00171157 | − | 0.982745i | ||||
\(161\) | 160.104 | − | 83.0999i | 0.994436 | − | 0.516149i | ||||
\(162\) | 8.17741 | + | 16.0353i | 0.0504779 | + | 0.0989831i | ||||
\(163\) | −242.427 | − | 64.9582i | −1.48728 | − | 0.398516i | −0.578464 | − | 0.815708i | \(-0.696348\pi\) |
−0.908819 | + | 0.417191i | \(0.863014\pi\) | |||||||
\(164\) | 59.6426 | + | 133.709i | 0.363675 | + | 0.815297i | ||||
\(165\) | 3.92888 | − | 1.05274i | 0.0238114 | − | 0.00638025i | ||||
\(166\) | 5.22765 | − | 1.11307i | 0.0314919 | − | 0.00670527i | ||||
\(167\) | 268.936 | 1.61040 | 0.805199 | − | 0.593005i | \(-0.202058\pi\) | ||||
0.805199 | + | 0.593005i | \(0.202058\pi\) | |||||||
\(168\) | 96.8149 | − | 5.90592i | 0.576279 | − | 0.0351543i | ||||
\(169\) | − | 99.9674i | − | 0.591523i | ||||||
\(170\) | 38.2441 | − | 8.14296i | 0.224965 | − | 0.0478998i | ||||
\(171\) | 20.2498 | + | 75.5732i | 0.118420 | + | 0.441948i | ||||
\(172\) | −90.0327 | + | 235.032i | −0.523446 | + | 1.36647i | ||||
\(173\) | 37.1536 | − | 138.659i | 0.214760 | − | 0.801497i | −0.771490 | − | 0.636241i | \(-0.780488\pi\) |
0.986251 | − | 0.165256i | \(-0.0528450\pi\) | |||||||
\(174\) | 2.90592 | + | 5.69829i | 0.0167007 | + | 0.0327488i | ||||
\(175\) | 5.04513 | + | 3.22265i | 0.0288293 | + | 0.0184152i | ||||
\(176\) | 3.46203 | − | 6.81808i | 0.0196706 | − | 0.0387391i | ||||
\(177\) | 32.2032 | + | 55.7776i | 0.181939 | + | 0.315127i | ||||
\(178\) | 14.1289 | + | 0.735530i | 0.0793760 | + | 0.00413219i | ||||
\(179\) | −51.7977 | − | 193.312i | −0.289373 | − | 1.07995i | −0.945584 | − | 0.325377i | \(-0.894509\pi\) |
0.656211 | − | 0.754577i | \(-0.272158\pi\) | |||||||
\(180\) | −37.1397 | − | 45.7984i | −0.206331 | − | 0.254436i | ||||
\(181\) | 242.030 | − | 242.030i | 1.33718 | − | 1.33718i | 0.438403 | − | 0.898779i | \(-0.355544\pi\) |
0.898779 | − | 0.438403i | \(-0.144456\pi\) | |||||||
\(182\) | 114.741 | − | 19.1001i | 0.630447 | − | 0.104946i | ||||
\(183\) | 33.7742i | 0.184558i | ||||||||
\(184\) | −192.385 | + | 74.0804i | −1.04557 | + | 0.402611i | ||||
\(185\) | −23.2689 | + | 40.3028i | −0.125778 | + | 0.217853i | ||||
\(186\) | −23.4665 | + | 21.1441i | −0.126164 | + | 0.113678i | ||||
\(187\) | 1.83674 | + | 0.492153i | 0.00982214 | + | 0.00263184i | ||||
\(188\) | 110.794 | + | 80.3783i | 0.589327 | + | 0.427544i | ||||
\(189\) | 26.8466 | − | 24.5410i | 0.142046 | − | 0.129846i | ||||
\(190\) | −116.436 | − | 228.322i | −0.612822 | − | 1.20170i | ||||
\(191\) | 110.575 | + | 191.522i | 0.578928 | + | 1.00273i | 0.995603 | + | 0.0936773i | \(0.0298622\pi\) |
−0.416674 | + | 0.909056i | \(0.636804\pi\) | |||||||
\(192\) | −110.711 | − | 5.57014i | −0.576621 | − | 0.0290111i | ||||
\(193\) | −83.4337 | + | 144.511i | −0.432299 | + | 0.748763i | −0.997071 | − | 0.0764836i | \(-0.975631\pi\) |
0.564772 | + | 0.825247i | \(0.308964\pi\) | |||||||
\(194\) | −259.339 | − | 168.288i | −1.33680 | − | 0.867464i | ||||
\(195\) | −50.0016 | − | 50.0016i | −0.256419 | − | 0.256419i | ||||
\(196\) | −63.4938 | − | 185.431i | −0.323948 | − | 0.946075i | ||||
\(197\) | −11.9643 | − | 11.9643i | −0.0607327 | − | 0.0607327i | 0.676088 | − | 0.736821i | \(-0.263674\pi\) |
−0.736821 | + | 0.676088i | \(0.763674\pi\) | |||||||
\(198\) | −0.597165 | − | 2.80464i | −0.00301599 | − | 0.0141648i | ||||
\(199\) | 62.2423 | − | 107.807i | 0.312776 | − | 0.541743i | −0.666187 | − | 0.745785i | \(-0.732075\pi\) |
0.978962 | + | 0.204042i | \(0.0654079\pi\) | |||||||
\(200\) | −5.32155 | − | 4.30011i | −0.0266078 | − | 0.0215005i | ||||
\(201\) | −91.5632 | − | 158.592i | −0.455538 | − | 0.789016i | ||||
\(202\) | 11.6139 | + | 3.76911i | 0.0574945 | + | 0.0186590i | ||||
\(203\) | 9.54021 | − | 8.72087i | 0.0469961 | − | 0.0429600i | ||||
\(204\) | −4.33122 | − | 27.2235i | −0.0212315 | − | 0.133448i | ||||
\(205\) | −173.724 | − | 46.5492i | −0.847435 | − | 0.227069i | ||||
\(206\) | −125.578 | − | 6.53738i | −0.609600 | − | 0.0317348i | ||||
\(207\) | −38.6540 | + | 66.9508i | −0.186734 | + | 0.323434i | ||||
\(208\) | −132.745 | + | 7.14236i | −0.638199 | + | 0.0343383i | ||||
\(209\) | − | 12.4640i | − | 0.0596361i | ||||||
\(210\) | −69.2748 | + | 96.9440i | −0.329880 | + | 0.461638i | ||||
\(211\) | −272.705 | + | 272.705i | −1.29244 | + | 1.29244i | −0.359170 | + | 0.933272i | \(0.616940\pi\) |
−0.933272 | + | 0.359170i | \(0.883060\pi\) | |||||||
\(212\) | 169.219 | + | 208.671i | 0.798203 | + | 0.984296i | ||||
\(213\) | 16.4460 | + | 61.3772i | 0.0772111 | + | 0.288156i | ||||
\(214\) | −96.2563 | − | 106.829i | −0.449796 | − | 0.499199i | ||||
\(215\) | −154.590 | − | 267.758i | −0.719023 | − | 1.24539i | ||||
\(216\) | −33.6047 | + | 24.4689i | −0.155577 | + | 0.113282i | ||||
\(217\) | 53.7915 | + | 34.3602i | 0.247887 | + | 0.158342i | ||||
\(218\) | −258.273 | − | 83.8184i | −1.18474 | − | 0.384488i | ||||
\(219\) | 32.1436 | − | 119.962i | 0.146775 | − | 0.547770i | ||||
\(220\) | 3.82663 | + | 8.57867i | 0.0173938 | + | 0.0389940i | ||||
\(221\) | −8.55607 | − | 31.9317i | −0.0387152 | − | 0.144487i | ||||
\(222\) | 27.5216 | + | 17.8591i | 0.123971 | + | 0.0804464i | ||||
\(223\) | − | 263.287i | − | 1.18066i | −0.807163 | − | 0.590329i | \(-0.798998\pi\) | ||
0.807163 | − | 0.590329i | \(-0.201002\pi\) | |||||||
\(224\) | 48.5999 | + | 218.664i | 0.216964 | + | 0.976180i | ||||
\(225\) | −2.56566 | −0.0114030 | ||||||||
\(226\) | −152.964 | + | 235.723i | −0.676830 | + | 1.04302i | ||||
\(227\) | −317.145 | + | 84.9789i | −1.39712 | + | 0.374356i | −0.877308 | − | 0.479927i | \(-0.840663\pi\) |
−0.519808 | + | 0.854283i | \(0.673997\pi\) | |||||||
\(228\) | −165.013 | + | 73.6064i | −0.723742 | + | 0.322835i | ||||
\(229\) | −59.1886 | − | 15.8595i | −0.258466 | − | 0.0692556i | 0.127259 | − | 0.991869i | \(-0.459382\pi\) |
−0.385725 | + | 0.922614i | \(0.626049\pi\) | |||||||
\(230\) | 78.1739 | − | 240.880i | 0.339886 | − | 1.04730i | ||||
\(231\) | −5.14296 | + | 2.66938i | −0.0222639 | + | 0.0115558i | ||||
\(232\) | −11.9417 | + | 8.69526i | −0.0514730 | + | 0.0374796i | ||||
\(233\) | −301.116 | + | 173.849i | −1.29234 | + | 0.746134i | −0.979069 | − | 0.203529i | \(-0.934759\pi\) |
−0.313273 | + | 0.949663i | \(0.601425\pi\) | |||||||
\(234\) | −37.0353 | + | 33.3701i | −0.158270 | + | 0.142607i | ||||
\(235\) | −162.417 | + | 43.5196i | −0.691138 | + | 0.185190i | ||||
\(236\) | −115.528 | + | 93.6857i | −0.489524 | + | 0.396973i | ||||
\(237\) | −77.1158 | − | 77.1158i | −0.325383 | − | 0.325383i | ||||
\(238\) | −50.7074 | + | 23.0563i | −0.213056 | + | 0.0968750i | ||||
\(239\) | 175.958 | 0.736225 | 0.368113 | − | 0.929781i | \(-0.380004\pi\) | ||||
0.368113 | + | 0.929781i | \(0.380004\pi\) | |||||||
\(240\) | 90.9767 | − | 101.323i | 0.379070 | − | 0.422181i | ||||
\(241\) | 59.9919 | + | 34.6363i | 0.248929 | + | 0.143719i | 0.619274 | − | 0.785175i | \(-0.287427\pi\) |
−0.370345 | + | 0.928894i | \(0.620760\pi\) | |||||||
\(242\) | 12.5574 | − | 241.217i | 0.0518900 | − | 0.996763i | ||||
\(243\) | −4.03459 | + | 15.0573i | −0.0166032 | + | 0.0619642i | ||||
\(244\) | −77.0293 | + | 12.2553i | −0.315694 | + | 0.0502265i | ||||
\(245\) | 226.053 | + | 82.8941i | 0.922667 | + | 0.338343i | ||||
\(246\) | −39.1392 | + | 120.601i | −0.159102 | + | 0.490248i | ||||
\(247\) | −187.655 | + | 108.343i | −0.759737 | + | 0.438634i | ||||
\(248\) | −56.7388 | − | 45.8481i | −0.228786 | − | 0.184871i | ||||
\(249\) | 4.00863 | + | 2.31438i | 0.0160989 | + | 0.00929470i | ||||
\(250\) | 248.520 | − | 52.9151i | 0.994082 | − | 0.211661i | ||||
\(251\) | 286.303 | − | 286.303i | 1.14065 | − | 1.14065i | 0.152315 | − | 0.988332i | \(-0.451327\pi\) |
0.988332 | − | 0.152315i | \(-0.0486730\pi\) | |||||||
\(252\) | 65.7125 | + | 52.3246i | 0.260764 | + | 0.207637i | ||||
\(253\) | 8.70847 | − | 8.70847i | 0.0344208 | − | 0.0344208i | ||||
\(254\) | 165.888 | − | 255.639i | 0.653100 | − | 1.00645i | ||||
\(255\) | 29.3261 | + | 16.9314i | 0.115004 | + | 0.0663977i | ||||
\(256\) | −27.4686 | − | 254.522i | −0.107299 | − | 0.994227i | ||||
\(257\) | −209.251 | + | 120.811i | −0.814208 | + | 0.470083i | −0.848415 | − | 0.529332i | \(-0.822443\pi\) |
0.0342070 | + | 0.999415i | \(0.489109\pi\) | |||||||
\(258\) | −194.175 | + | 99.0225i | −0.752618 | + | 0.383808i | ||||
\(259\) | 20.0119 | − | 63.2042i | 0.0772662 | − | 0.244032i | ||||
\(260\) | 95.8960 | − | 132.183i | 0.368831 | − | 0.508397i | ||||
\(261\) | −1.43373 | + | 5.35076i | −0.00549322 | + | 0.0205010i | ||||
\(262\) | 304.765 | + | 338.239i | 1.16323 | + | 1.29099i | ||||
\(263\) | 322.487 | + | 186.188i | 1.22619 | + | 0.707939i | 0.966230 | − | 0.257681i | \(-0.0829584\pi\) |
0.259957 | + | 0.965620i | \(0.416292\pi\) | |||||||
\(264\) | 6.17989 | − | 2.37965i | 0.0234087 | − | 0.00901383i | ||||
\(265\) | −330.032 | −1.24540 | ||||||||
\(266\) | 232.001 | + | 281.931i | 0.872183 | + | 1.05989i | ||||
\(267\) | 8.66388 | + | 8.66388i | 0.0324490 | + | 0.0324490i | ||||
\(268\) | 328.479 | − | 266.376i | 1.22567 | − | 0.993941i | ||||
\(269\) | −286.930 | + | 76.8826i | −1.06665 | + | 0.285809i | −0.749117 | − | 0.662437i | \(-0.769522\pi\) |
−0.317536 | + | 0.948246i | \(0.602855\pi\) | |||||||
\(270\) | 2.65477 | − | 50.9960i | 0.00983249 | − | 0.188874i | ||||
\(271\) | −2.25484 | + | 1.30184i | −0.00832046 | + | 0.00480382i | −0.504154 | − | 0.863614i | \(-0.668196\pi\) |
0.495834 | + | 0.868417i | \(0.334862\pi\) | |||||||
\(272\) | 60.5174 | − | 19.7566i | 0.222490 | − | 0.0726344i | ||||
\(273\) | 84.8948 | + | 54.2279i | 0.310970 | + | 0.198637i | ||||
\(274\) | −61.0077 | + | 31.1118i | −0.222656 | + | 0.113547i | ||||
\(275\) | 0.394799 | + | 0.105786i | 0.00143563 | + | 0.000384676i | ||||
\(276\) | −166.722 | − | 63.8652i | −0.604064 | − | 0.231396i | ||||
\(277\) | 229.376 | − | 61.4611i | 0.828072 | − | 0.221881i | 0.180200 | − | 0.983630i | \(-0.442326\pi\) |
0.647873 | + | 0.761749i | \(0.275659\pi\) | |||||||
\(278\) | 14.4387 | + | 67.8126i | 0.0519377 | + | 0.243930i | ||||
\(279\) | −27.3553 | −0.0980477 | ||||||||
\(280\) | −246.239 | − | 122.819i | −0.879424 | − | 0.438640i | ||||
\(281\) | 486.481i | 1.73125i | 0.500693 | + | 0.865625i | \(0.333078\pi\) | ||||
−0.500693 | + | 0.865625i | \(0.666922\pi\) | |||||||
\(282\) | 24.6864 | + | 115.942i | 0.0875404 | + | 0.411141i | ||||
\(283\) | 114.267 | + | 426.452i | 0.403772 | + | 1.50690i | 0.806310 | + | 0.591493i | \(0.201461\pi\) |
−0.402538 | + | 0.915403i | \(0.631872\pi\) | |||||||
\(284\) | −134.016 | + | 59.7798i | −0.471889 | + | 0.210492i | ||||
\(285\) | 57.4475 | − | 214.397i | 0.201570 | − | 0.752270i | ||||
\(286\) | 7.07480 | − | 3.60789i | 0.0247371 | − | 0.0126150i | ||||
\(287\) | 255.956 | + | 11.4843i | 0.891834 | + | 0.0400149i | ||||
\(288\) | −68.0004 | − | 67.7639i | −0.236112 | − | 0.235291i | ||||
\(289\) | −136.585 | − | 236.572i | −0.472611 | − | 0.818587i | ||||
\(290\) | 0.943400 | − | 18.1219i | 0.00325310 | − | 0.0624894i | ||||
\(291\) | −69.2954 | − | 258.614i | −0.238129 | − | 0.888708i | ||||
\(292\) | 285.262 | + | 29.7813i | 0.976925 | + | 0.101991i | ||||
\(293\) | 200.464 | − | 200.464i | 0.684178 | − | 0.684178i | −0.276761 | − | 0.960939i | \(-0.589261\pi\) |
0.960939 | + | 0.276761i | \(0.0892611\pi\) | |||||||
\(294\) | 66.6450 | − | 156.110i | 0.226684 | − | 0.530988i | ||||
\(295\) | − | 182.717i | − | 0.619381i | ||||||
\(296\) | −30.7451 | + | 69.2493i | −0.103869 | + | 0.233950i | ||||
\(297\) | 1.24167 | − | 2.15063i | 0.00418070 | − | 0.00724118i | ||||
\(298\) | 95.0426 | + | 105.482i | 0.318935 | + | 0.353965i | ||||
\(299\) | −206.811 | − | 55.4149i | −0.691677 | − | 0.185334i | ||||
\(300\) | −0.930974 | − | 5.85155i | −0.00310325 | − | 0.0195052i | ||||
\(301\) | 297.173 | + | 325.093i | 0.987286 | + | 1.08004i | ||||
\(302\) | −395.099 | + | 201.486i | −1.30827 | + | 0.667173i | ||||
\(303\) | 5.28717 | + | 9.15764i | 0.0174494 | + | 0.0302232i | ||||
\(304\) | −227.752 | − | 349.639i | −0.749183 | − | 1.15013i | ||||
\(305\) | 47.9078 | − | 82.9787i | 0.157075 | − | 0.272061i | ||||
\(306\) | 12.9950 | − | 20.0259i | 0.0424675 | − | 0.0654441i | ||||
\(307\) | 116.965 | + | 116.965i | 0.380993 | + | 0.380993i | 0.871460 | − | 0.490467i | \(-0.163174\pi\) |
−0.490467 | + | 0.871460i | \(0.663174\pi\) | |||||||
\(308\) | −7.95427 | − | 10.7610i | −0.0258256 | − | 0.0349384i | ||||
\(309\) | −77.0043 | − | 77.0043i | −0.249205 | − | 0.249205i | ||||
\(310\) | 87.6464 | − | 18.6617i | 0.282730 | − | 0.0601992i | ||||
\(311\) | 279.510 | − | 484.126i | 0.898747 | − | 1.55667i | 0.0696487 | − | 0.997572i | \(-0.477812\pi\) |
0.829098 | − | 0.559103i | \(-0.188855\pi\) | |||||||
\(312\) | −89.5462 | − | 72.3583i | −0.287007 | − | 0.231918i | ||||
\(313\) | −19.3439 | − | 33.5046i | −0.0618016 | − | 0.107044i | 0.833469 | − | 0.552566i | \(-0.186351\pi\) |
−0.895271 | + | 0.445522i | \(0.853018\pi\) | |||||||
\(314\) | −157.084 | + | 484.029i | −0.500268 | + | 1.54149i | ||||
\(315\) | −100.769 | + | 22.2127i | −0.319902 | + | 0.0705164i | ||||
\(316\) | 147.897 | − | 203.862i | 0.468029 | − | 0.645131i | ||||
\(317\) | −48.1007 | − | 12.8886i | −0.151737 | − | 0.0406579i | 0.182151 | − | 0.983271i | \(-0.441694\pi\) |
−0.333888 | + | 0.942613i | \(0.608361\pi\) | |||||||
\(318\) | −12.0959 | + | 232.352i | −0.0380375 | + | 0.730668i | ||||
\(319\) | 0.441238 | − | 0.764247i | 0.00138319 | − | 0.00239576i | ||||
\(320\) | 264.102 | + | 170.726i | 0.825318 | + | 0.533519i | ||||
\(321\) | − | 124.532i | − | 0.387950i | ||||||
\(322\) | −34.8859 | + | 359.080i | −0.108341 | + | 1.11516i | ||||
\(323\) | 73.3734 | − | 73.3734i | 0.227162 | − | 0.227162i | ||||
\(324\) | −35.8054 | − | 3.73808i | −0.110510 | − | 0.0115373i | ||||
\(325\) | −1.83909 | − | 6.86356i | −0.00565872 | − | 0.0211186i | ||||
\(326\) | 372.911 | − | 336.005i | 1.14390 | − | 1.03069i | ||||
\(327\) | −117.577 | − | 203.650i | −0.359564 | − | 0.622782i | ||||
\(328\) | −289.259 | − | 45.5043i | −0.881886 | − | 0.138732i | ||||
\(329\) | 212.606 | − | 110.350i | 0.646220 | − | 0.335412i | ||||
\(330\) | −2.51115 | + | 7.73768i | −0.00760953 | + | 0.0234475i | ||||
\(331\) | −96.0246 | + | 358.369i | −0.290105 | + | 1.08269i | 0.654923 | + | 0.755695i | \(0.272701\pi\) |
−0.945028 | + | 0.326990i | \(0.893966\pi\) | |||||||
\(332\) | −3.82388 | + | 9.98233i | −0.0115177 | + | 0.0300673i | ||||
\(333\) | 7.35379 | + | 27.4447i | 0.0220834 | + | 0.0824165i | ||||
\(334\) | −292.789 | + | 451.200i | −0.876615 | + | 1.35090i | ||||
\(335\) | 519.520i | 1.55081i | ||||||||
\(336\) | −95.4933 | + | 168.858i | −0.284206 | + | 0.502554i | ||||
\(337\) | 219.472 | 0.651251 | 0.325626 | − | 0.945499i | \(-0.394425\pi\) | ||||
0.325626 | + | 0.945499i | \(0.394425\pi\) | |||||||
\(338\) | 167.717 | + | 108.834i | 0.496205 | + | 0.321994i | ||||
\(339\) | −235.064 | + | 62.9853i | −0.693405 | + | 0.185797i | ||||
\(340\) | −27.9745 | + | 73.0281i | −0.0822780 | + | 0.214789i | ||||
\(341\) | 4.20937 | + | 1.12790i | 0.0123442 | + | 0.00330762i | ||||
\(342\) | −148.836 | − | 48.3026i | −0.435194 | − | 0.141236i | ||||
\(343\) | −339.902 | − | 45.9993i | −0.990967 | − | 0.134109i | ||||
\(344\) | −296.301 | − | 406.928i | −0.861339 | − | 1.18293i | ||||
\(345\) | 189.936 | − | 109.659i | 0.550538 | − | 0.317853i | ||||
\(346\) | 192.182 | + | 213.290i | 0.555440 | + | 0.616446i | ||||
\(347\) | 278.183 | − | 74.5389i | 0.801680 | − | 0.214809i | 0.165358 | − | 0.986234i | \(-0.447122\pi\) |
0.636321 | + | 0.771424i | \(0.280455\pi\) | |||||||
\(348\) | −12.7238 | − | 1.32836i | −0.0365626 | − | 0.00381714i | ||||
\(349\) | 215.487 | + | 215.487i | 0.617442 | + | 0.617442i | 0.944875 | − | 0.327433i | \(-0.106183\pi\) |
−0.327433 | + | 0.944875i | \(0.606183\pi\) | |||||||
\(350\) | −10.8993 | + | 4.95583i | −0.0311409 | + | 0.0141595i | ||||
\(351\) | −43.1727 | −0.122999 | ||||||||
\(352\) | 7.66974 | + | 13.2311i | 0.0217890 | + | 0.0375884i | ||||
\(353\) | −410.770 | − | 237.158i | −1.16366 | − | 0.671837i | −0.211478 | − | 0.977383i | \(-0.567828\pi\) |
−0.952177 | + | 0.305546i | \(0.901161\pi\) | |||||||
\(354\) | −128.639 | − | 6.69673i | −0.363386 | − | 0.0189173i | ||||
\(355\) | 46.6563 | − | 174.124i | 0.131426 | − | 0.490489i | ||||
\(356\) | −16.6161 | + | 22.9036i | −0.0466744 | + | 0.0643360i | ||||
\(357\) | −45.9900 | − | 14.5615i | −0.128824 | − | 0.0407886i | ||||
\(358\) | 380.715 | + | 123.555i | 1.06345 | + | 0.345126i | ||||
\(359\) | 244.461 | − | 141.139i | 0.680949 | − | 0.393146i | −0.119263 | − | 0.992863i | \(-0.538053\pi\) |
0.800213 | + | 0.599716i | \(0.204720\pi\) | |||||||
\(360\) | 117.271 | − | 12.4496i | 0.325752 | − | 0.0345821i | ||||
\(361\) | −276.393 | − | 159.575i | −0.765630 | − | 0.442037i | ||||
\(362\) | 142.562 | + | 669.555i | 0.393818 | + | 1.84960i | ||||
\(363\) | 147.914 | − | 147.914i | 0.407478 | − | 0.407478i | ||||
\(364\) | −92.8735 | + | 213.298i | −0.255147 | + | 0.585984i | ||||
\(365\) | −249.135 | + | 249.135i | −0.682561 | + | 0.682561i | ||||
\(366\) | −56.6636 | − | 36.7697i | −0.154819 | − | 0.100464i | ||||
\(367\) | 354.164 | + | 204.477i | 0.965025 | + | 0.557157i | 0.897716 | − | 0.440575i | \(-0.145225\pi\) |
0.0673088 | + | 0.997732i | \(0.478559\pi\) | |||||||
\(368\) | 85.1620 | − | 403.419i | 0.231419 | − | 1.09625i | ||||
\(369\) | −95.0947 | + | 54.9030i | −0.257709 | + | 0.148789i | ||||
\(370\) | −42.2842 | − | 82.9161i | −0.114282 | − | 0.224098i | ||||
\(371\) | 459.134 | − | 101.207i | 1.23756 | − | 0.272796i | ||||
\(372\) | −9.92612 | − | 62.3897i | −0.0266831 | − | 0.167714i | ||||
\(373\) | −59.4166 | + | 221.746i | −0.159294 | + | 0.594493i | 0.839405 | + | 0.543506i | \(0.182903\pi\) |
−0.998699 | + | 0.0509870i | \(0.983763\pi\) | |||||||
\(374\) | −2.82534 | + | 2.54573i | −0.00755439 | + | 0.00680677i | ||||
\(375\) | 190.569 | + | 110.025i | 0.508183 | + | 0.293399i | ||||
\(376\) | −255.473 | + | 98.3732i | −0.679448 | + | 0.261631i | ||||
\(377\) | −15.3418 | −0.0406945 | ||||||||
\(378\) | 11.9451 | + | 71.7587i | 0.0316008 | + | 0.189838i | ||||
\(379\) | −128.585 | − | 128.585i | −0.339273 | − | 0.339273i | 0.516821 | − | 0.856094i | \(-0.327115\pi\) |
−0.856094 | + | 0.516821i | \(0.827115\pi\) | |||||||
\(380\) | 509.824 | + | 53.2256i | 1.34164 | + | 0.140067i | ||||
\(381\) | 254.925 | − | 68.3069i | 0.669094 | − | 0.179283i | ||||
\(382\) | −441.703 | − | 22.9944i | −1.15629 | − | 0.0601948i | ||||
\(383\) | −12.1280 | + | 7.00211i | −0.0316658 | + | 0.0182823i | −0.515749 | − | 0.856740i | \(-0.672486\pi\) |
0.484084 | + | 0.875022i | \(0.339153\pi\) | |||||||
\(384\) | 129.876 | − | 179.678i | 0.338218 | − | 0.467912i | ||||
\(385\) | 16.4220 | + | 0.736824i | 0.0426546 | + | 0.00191383i | ||||
\(386\) | −151.616 | − | 297.307i | −0.392787 | − | 0.770225i | ||||
\(387\) | −182.333 | − | 48.8559i | −0.471144 | − | 0.126243i | ||||
\(388\) | 564.681 | − | 251.884i | 1.45536 | − | 0.649185i | ||||
\(389\) | −446.158 | + | 119.548i | −1.14694 | + | 0.307321i | −0.781737 | − | 0.623608i | \(-0.785666\pi\) |
−0.365200 | + | 0.930929i | \(0.618999\pi\) | |||||||
\(390\) | 138.325 | − | 29.4523i | 0.354680 | − | 0.0755187i | ||||
\(391\) | 102.531 | 0.262227 | ||||||||
\(392\) | 380.226 | + | 95.3523i | 0.969965 | + | 0.243246i | ||||
\(393\) | 394.291i | 1.00329i | ||||||||
\(394\) | 33.0983 | − | 7.04732i | 0.0840059 | − | 0.0178866i | ||||
\(395\) | 80.0766 | + | 298.850i | 0.202726 | + | 0.756583i | ||||
\(396\) | 5.35553 | + | 2.05151i | 0.0135241 | + | 0.00518059i | ||||
\(397\) | −107.803 | + | 402.325i | −0.271543 | + | 1.01341i | 0.686579 | + | 0.727055i | \(0.259111\pi\) |
−0.958123 | + | 0.286358i | \(0.907555\pi\) | |||||||
\(398\) | 113.107 | + | 221.794i | 0.284188 | + | 0.557271i | ||||
\(399\) | −14.1730 | + | 315.882i | −0.0355213 | + | 0.791684i | ||||
\(400\) | 13.0079 | − | 4.24658i | 0.0325198 | − | 0.0106164i | ||||
\(401\) | 90.5199 | + | 156.785i | 0.225735 | + | 0.390985i | 0.956540 | − | 0.291602i | \(-0.0941882\pi\) |
−0.730804 | + | 0.682587i | \(0.760855\pi\) | |||||||
\(402\) | 365.758 | + | 19.0408i | 0.909845 | + | 0.0473652i | ||||
\(403\) | −19.6085 | − | 73.1798i | −0.0486563 | − | 0.181588i | ||||
\(404\) | −18.9675 | + | 15.3815i | −0.0469492 | + | 0.0380729i | ||||
\(405\) | 31.2708 | − | 31.2708i | 0.0772119 | − | 0.0772119i | ||||
\(406\) | 4.24482 | + | 25.5002i | 0.0104552 | + | 0.0628083i | ||||
\(407\) | − | 4.52633i | − | 0.0111212i | ||||||
\(408\) | 50.3887 | + | 22.3714i | 0.123502 | + | 0.0548320i | ||||
\(409\) | 136.865 | − | 237.058i | 0.334634 | − | 0.579603i | −0.648781 | − | 0.760976i | \(-0.724721\pi\) |
0.983414 | + | 0.181373i | \(0.0580540\pi\) | |||||||
\(410\) | 267.229 | − | 240.783i | 0.651778 | − | 0.587275i | ||||
\(411\) | −57.2869 | − | 15.3500i | −0.139384 | − | 0.0373479i | ||||
\(412\) | 147.683 | − | 203.567i | 0.358455 | − | 0.494094i | ||||
\(413\) | 56.0320 | + | 254.193i | 0.135671 | + | 0.615479i | ||||
\(414\) | −70.2422 | − | 137.740i | −0.169667 | − | 0.332704i | ||||
\(415\) | −6.56577 | − | 11.3723i | −0.0158211 | − | 0.0274030i | ||||
\(416\) | 132.536 | − | 230.485i | 0.318596 | − | 0.554051i | ||||
\(417\) | −30.0219 | + | 51.9995i | −0.0719950 | + | 0.124699i | ||||
\(418\) | 20.9110 | + | 13.5694i | 0.0500264 | + | 0.0324627i | ||||
\(419\) | 451.112 | + | 451.112i | 1.07664 | + | 1.07664i | 0.996808 | + | 0.0798308i | \(0.0254380\pi\) |
0.0798308 | + | 0.996808i | \(0.474562\pi\) | |||||||
\(420\) | −87.2258 | − | 221.766i | −0.207681 | − | 0.528014i | ||||
\(421\) | −118.463 | − | 118.463i | −0.281384 | − | 0.281384i | 0.552277 | − | 0.833661i | \(-0.313759\pi\) |
−0.833661 | + | 0.552277i | \(0.813759\pi\) | |||||||
\(422\) | −160.631 | − | 754.416i | −0.380642 | − | 1.78772i | ||||
\(423\) | −51.3296 | + | 88.9056i | −0.121347 | + | 0.210179i | ||||
\(424\) | −534.319 | + | 56.7238i | −1.26019 | + | 0.133783i | ||||
\(425\) | 1.70137 | + | 2.94686i | 0.00400323 | + | 0.00693380i | ||||
\(426\) | −120.878 | − | 39.2292i | −0.283752 | − | 0.0920874i | ||||
\(427\) | −41.2022 | + | 130.130i | −0.0964922 | + | 0.304753i | ||||
\(428\) | 284.022 | − | 45.1875i | 0.663603 | − | 0.105578i | ||||
\(429\) | 6.64331 | + | 1.78007i | 0.0154856 | + | 0.00414935i | ||||
\(430\) | 617.524 | + | 32.1474i | 1.43610 | + | 0.0747613i | ||||
\(431\) | 130.773 | − | 226.505i | 0.303417 | − | 0.525534i | −0.673490 | − | 0.739196i | \(-0.735206\pi\) |
0.976908 | + | 0.213662i | \(0.0685390\pi\) | |||||||
\(432\) | −4.46680 | − | 83.0184i | −0.0103398 | − | 0.192172i | ||||
\(433\) | 385.127i | 0.889439i | 0.895670 | + | 0.444720i | \(0.146697\pi\) | ||||
−0.895670 | + | 0.444720i | \(0.853303\pi\) | |||||||
\(434\) | −116.209 | + | 52.8395i | −0.267763 | + | 0.121750i | ||||
\(435\) | 11.1124 | − | 11.1124i | 0.0255457 | − | 0.0255457i | ||||
\(436\) | 421.804 | − | 342.057i | 0.967439 | − | 0.784533i | ||||
\(437\) | −173.941 | − | 649.157i | −0.398035 | − | 1.48549i | ||||
\(438\) | 166.268 | + | 184.529i | 0.379606 | + | 0.421300i | ||||
\(439\) | −9.23347 | − | 15.9928i | −0.0210330 | − | 0.0364301i | 0.855317 | − | 0.518104i | \(-0.173362\pi\) |
−0.876350 | + | 0.481674i | \(0.840029\pi\) | |||||||
\(440\) | −18.5586 | − | 2.91952i | −0.0421787 | − | 0.00663528i | ||||
\(441\) | 133.377 | − | 61.8037i | 0.302441 | − | 0.140144i | ||||
\(442\) | 62.8874 | + | 20.4091i | 0.142279 | + | 0.0461745i | ||||
\(443\) | 161.761 | − | 603.700i | 0.365149 | − | 1.36275i | −0.502070 | − | 0.864827i | \(-0.667428\pi\) |
0.867219 | − | 0.497928i | \(-0.165905\pi\) | |||||||
\(444\) | −59.9252 | + | 26.7304i | −0.134967 | + | 0.0602037i | ||||
\(445\) | −8.99652 | − | 33.5755i | −0.0202169 | − | 0.0754505i | ||||
\(446\) | 441.722 | + | 286.639i | 0.990407 | + | 0.642688i | ||||
\(447\) | 122.962i | 0.275082i | ||||||||
\(448\) | −419.768 | − | 156.521i | −0.936982 | − | 0.349378i | ||||
\(449\) | −654.486 | −1.45765 | −0.728827 | − | 0.684698i | \(-0.759934\pi\) | ||||
−0.728827 | + | 0.684698i | \(0.759934\pi\) | |||||||
\(450\) | 2.79322 | − | 4.30447i | 0.00620716 | − | 0.00956548i | ||||
\(451\) | 16.8967 | − | 4.52745i | 0.0374649 | − | 0.0100387i | ||||
\(452\) | −228.947 | − | 513.260i | −0.506519 | − | 1.13553i | ||||
\(453\) | −371.002 | − | 99.4098i | −0.818990 | − | 0.219448i | ||||
\(454\) | 202.703 | − | 624.597i | 0.446483 | − | 1.37577i | ||||
\(455\) | −131.654 | − | 253.652i | −0.289351 | − | 0.557476i | ||||
\(456\) | 56.1579 | − | 356.981i | 0.123153 | − | 0.782852i | ||||
\(457\) | −361.990 | + | 208.995i | −0.792101 | + | 0.457319i | −0.840702 | − | 0.541499i | \(-0.817857\pi\) |
0.0486010 | + | 0.998818i | \(0.484524\pi\) | |||||||
\(458\) | 91.0461 | − | 82.0358i | 0.198791 | − | 0.179117i | ||||
\(459\) | 19.9699 | − | 5.35093i | 0.0435075 | − | 0.0116578i | ||||
\(460\) | 319.022 | + | 393.398i | 0.693526 | + | 0.855214i | ||||
\(461\) | −188.470 | − | 188.470i | −0.408829 | − | 0.408829i | 0.472501 | − | 0.881330i | \(-0.343351\pi\) |
−0.881330 | + | 0.472501i | \(0.843351\pi\) | |||||||
\(462\) | 1.12063 | − | 11.5346i | 0.00242560 | − | 0.0249666i | ||||
\(463\) | −688.952 | −1.48802 | −0.744009 | − | 0.668170i | \(-0.767078\pi\) | ||||
−0.744009 | + | 0.668170i | \(0.767078\pi\) | |||||||
\(464\) | −1.58732 | − | 29.5014i | −0.00342095 | − | 0.0635806i | ||||
\(465\) | 67.2084 | + | 38.8028i | 0.144534 | + | 0.0834468i | ||||
\(466\) | 36.1524 | − | 694.456i | 0.0775802 | − | 1.49025i | ||||
\(467\) | 141.316 | − | 527.397i | 0.302603 | − | 1.12933i | −0.632386 | − | 0.774654i | \(-0.717924\pi\) |
0.934989 | − | 0.354677i | \(-0.115409\pi\) | |||||||
\(468\) | −15.6656 | − | 98.4646i | −0.0334735 | − | 0.210394i | ||||
\(469\) | −159.316 | − | 722.746i | −0.339692 | − | 1.54104i | ||||
\(470\) | 103.809 | − | 319.870i | 0.220870 | − | 0.680575i | ||||
\(471\) | −381.660 | + | 220.352i | −0.810319 | + | 0.467838i | ||||
\(472\) | −31.4043 | − | 295.818i | −0.0665345 | − | 0.626733i | ||||
\(473\) | 26.0426 | + | 15.0357i | 0.0550583 | + | 0.0317879i | ||||
\(474\) | 213.334 | − | 45.4233i | 0.450073 | − | 0.0958297i | ||||
\(475\) | 15.7713 | − | 15.7713i | 0.0332026 | − | 0.0332026i | ||||
\(476\) | 16.5229 | − | 110.174i | 0.0347119 | − | 0.231458i | ||||
\(477\) | −142.479 | + | 142.479i | −0.298698 | + | 0.298698i | ||||
\(478\) | −191.564 | + | 295.208i | −0.400762 | + | 0.617590i | ||||
\(479\) | 511.956 | + | 295.578i | 1.06880 | + | 0.617073i | 0.927854 | − | 0.372944i | \(-0.121652\pi\) |
0.140948 | + | 0.990017i | \(0.454985\pi\) | |||||||
\(480\) | 70.9466 | + | 262.944i | 0.147805 | + | 0.547799i | ||||
\(481\) | −68.1477 | + | 39.3451i | −0.141679 | + | 0.0817985i | ||||
\(482\) | −123.423 | + | 62.9413i | −0.256064 | + | 0.130584i | ||||
\(483\) | −230.607 | + | 210.802i | −0.477447 | + | 0.436442i | ||||
\(484\) | 391.023 | + | 283.679i | 0.807898 | + | 0.586113i | ||||
\(485\) | −196.587 | + | 733.674i | −0.405335 | + | 1.51273i | ||||
\(486\) | −20.8695 | − | 23.1617i | −0.0429414 | − | 0.0476578i | ||||
\(487\) | 708.741 | + | 409.192i | 1.45532 | + | 0.840230i | 0.998776 | − | 0.0494708i | \(-0.0157535\pi\) |
0.456545 | + | 0.889700i | \(0.349087\pi\) | |||||||
\(488\) | 63.3004 | − | 142.576i | 0.129714 | − | 0.292164i | ||||
\(489\) | 434.708 | 0.888974 | ||||||||
\(490\) | −385.176 | + | 289.008i | −0.786074 | + | 0.589813i | ||||
\(491\) | 158.312 | + | 158.312i | 0.322428 | + | 0.322428i | 0.849698 | − | 0.527270i | \(-0.176784\pi\) |
−0.527270 | + | 0.849698i | \(0.676784\pi\) | |||||||
\(492\) | −159.724 | − | 196.962i | −0.324642 | − | 0.400329i | ||||
\(493\) | 7.09651 | − | 1.90150i | 0.0143945 | − | 0.00385701i | ||||
\(494\) | 22.5301 | − | 432.785i | 0.0456075 | − | 0.876082i | ||||
\(495\) | −6.10122 | + | 3.52254i | −0.0123257 | + | 0.00711624i | ||||
\(496\) | 138.691 | − | 45.2773i | 0.279620 | − | 0.0912849i | ||||
\(497\) | −11.5107 | + | 256.545i | −0.0231604 | + | 0.516188i | ||||
\(498\) | −8.24705 | + | 4.20570i | −0.0165603 | + | 0.00844518i | ||||
\(499\) | 246.911 | + | 66.1597i | 0.494812 | + | 0.132585i | 0.497591 | − | 0.867412i | \(-0.334218\pi\) |
−0.00277907 | + | 0.999996i | \(0.500885\pi\) | |||||||
\(500\) | −181.786 | + | 474.556i | −0.363572 | + | 0.949112i | ||||
\(501\) | −449.939 | + | 120.561i | −0.898083 | + | 0.240641i | ||||
\(502\) | 168.640 | + | 792.031i | 0.335936 | + | 1.57775i | ||||
\(503\) | −585.633 | −1.16428 | −0.582141 | − | 0.813088i | \(-0.697785\pi\) | ||||
−0.582141 | + | 0.813088i | \(0.697785\pi\) | |||||||
\(504\) | −159.327 | + | 53.2817i | −0.316125 | + | 0.105718i | ||||
\(505\) | − | 29.9988i | − | 0.0594036i | ||||||
\(506\) | 5.12952 | + | 24.0912i | 0.0101374 | + | 0.0476111i | ||||
\(507\) | 44.8142 | + | 167.249i | 0.0883909 | + | 0.329879i | ||||
\(508\) | 248.291 | + | 556.626i | 0.488761 | + | 1.09572i | ||||
\(509\) | 4.65947 | − | 17.3894i | 0.00915417 | − | 0.0341638i | −0.961198 | − | 0.275860i | \(-0.911037\pi\) |
0.970352 | + | 0.241697i | \(0.0777039\pi\) | |||||||
\(510\) | −60.3333 | + | 30.7678i | −0.118301 | + | 0.0603290i | ||||
\(511\) | 270.192 | − | 422.991i | 0.528752 | − | 0.827772i | ||||
\(512\) | 456.922 | + | 231.012i | 0.892425 | + | 0.451195i | ||||
\(513\) | −67.7570 | − | 117.359i | −0.132080 | − | 0.228769i | ||||
\(514\) | 25.1230 | − | 482.592i | 0.0488775 | − | 0.938895i | ||||
\(515\) | 79.9609 | + | 298.418i | 0.155264 | + | 0.579452i | ||||
\(516\) | 45.2654 | − | 433.577i | 0.0877237 | − | 0.840266i | ||||
\(517\) | 11.5642 | − | 11.5642i | 0.0223679 | − | 0.0223679i | ||||
\(518\) | 84.2520 | + | 102.384i | 0.162649 | + | 0.197653i | ||||
\(519\) | 248.636i | 0.479068i | ||||||||
\(520\) | 117.365 | + | 304.794i | 0.225702 | + | 0.586142i | ||||
\(521\) | 51.1015 | − | 88.5104i | 0.0980835 | − | 0.169886i | −0.812808 | − | 0.582532i | \(-0.802062\pi\) |
0.910891 | + | 0.412646i | \(0.135395\pi\) | |||||||
\(522\) | −7.41618 | − | 8.23073i | −0.0142072 | − | 0.0157677i | ||||
\(523\) | −247.725 | − | 66.3778i | −0.473662 | − | 0.126917i | 0.0140877 | − | 0.999901i | \(-0.495516\pi\) |
−0.487750 | + | 0.872983i | \(0.662182\pi\) | |||||||
\(524\) | −899.266 | + | 143.072i | −1.71616 | + | 0.273038i | ||||
\(525\) | −9.88534 | − | 3.12993i | −0.0188292 | − | 0.00596178i | ||||
\(526\) | −663.461 | + | 338.341i | −1.26133 | + | 0.643235i | ||||
\(527\) | 18.1402 | + | 31.4197i | 0.0344216 | + | 0.0596199i | ||||
\(528\) | −2.73562 | + | 12.9588i | −0.00518110 | + | 0.0245433i | ||||
\(529\) | 67.5299 | − | 116.965i | 0.127656 | − | 0.221106i | ||||
\(530\) | 359.304 | − | 553.701i | 0.677931 | − | 1.04472i | ||||
\(531\) | −78.8814 | − | 78.8814i | −0.148552 | − | 0.148552i | ||||
\(532\) | −725.579 | + | 82.2959i | −1.36387 | + | 0.154691i | ||||
\(533\) | −215.039 | − | 215.039i | −0.403450 | − | 0.403450i | ||||
\(534\) | −23.9679 | + | 5.10325i | −0.0448837 | + | 0.00955666i | ||||
\(535\) | −176.645 | + | 305.959i | −0.330178 | + | 0.571885i | ||||
\(536\) | 89.2917 | + | 841.098i | 0.166589 | + | 1.56921i | ||||
\(537\) | 173.319 | + | 300.197i | 0.322754 | + | 0.559025i | ||||
\(538\) | 183.391 | − | 565.090i | 0.340876 | − | 1.05035i | ||||
\(539\) | −23.0719 | + | 4.01091i | −0.0428051 | + | 0.00744138i | ||||
\(540\) | 82.6667 | + | 59.9730i | 0.153087 | + | 0.111061i | ||||
\(541\) | −221.770 | − | 59.4230i | −0.409926 | − | 0.109839i | 0.0479624 | − | 0.998849i | \(-0.484727\pi\) |
−0.457888 | + | 0.889010i | \(0.651394\pi\) | |||||||
\(542\) | 0.270720 | − | 5.20030i | 0.000499483 | − | 0.00959465i | ||||
\(543\) | −296.425 | + | 513.423i | −0.545902 | + | 0.945530i | ||||
\(544\) | −32.7389 | + | 123.040i | −0.0601818 | + | 0.226177i | ||||
\(545\) | 667.121i | 1.22407i | ||||||||
\(546\) | −183.404 | + | 83.3922i | −0.335904 | + | 0.152733i | ||||
\(547\) | 684.070 | − | 684.070i | 1.25059 | − | 1.25059i | 0.295127 | − | 0.955458i | \(-0.404638\pi\) |
0.955458 | − | 0.295127i | \(-0.0953621\pi\) | |||||||
\(548\) | 14.2219 | − | 136.225i | 0.0259524 | − | 0.248586i | ||||
\(549\) | −15.1406 | − | 56.5053i | −0.0275784 | − | 0.102924i | ||||
\(550\) | −0.607294 | + | 0.547193i | −0.00110417 | + | 0.000994897i | ||||
\(551\) | −24.0781 | − | 41.7045i | −0.0436990 | − | 0.0756888i | ||||
\(552\) | 288.657 | − | 210.183i | 0.522929 | − | 0.380766i | ||||
\(553\) | −203.046 | − | 391.198i | −0.367172 | − | 0.707411i | ||||
\(554\) | −146.606 | + | 451.741i | −0.264631 | + | 0.815417i | ||||
\(555\) | 20.8623 | − | 77.8591i | 0.0375897 | − | 0.140287i | ||||
\(556\) | −129.490 | − | 49.6030i | −0.232895 | − | 0.0892141i | ||||
\(557\) | −10.2832 | − | 38.3773i | −0.0184617 | − | 0.0689000i | 0.956080 | − | 0.293104i | \(-0.0946884\pi\) |
−0.974542 | + | 0.224204i | \(0.928022\pi\) | |||||||
\(558\) | 29.7816 | − | 45.8946i | 0.0533720 | − | 0.0822483i | ||||
\(559\) | − | 522.790i | − | 0.935223i | ||||||
\(560\) | 474.135 | − | 279.407i | 0.846669 | − | 0.498941i | ||||
\(561\) | −3.29355 | −0.00587086 | ||||||||
\(562\) | −816.179 | − | 529.629i | −1.45228 | − | 0.942400i | ||||
\(563\) | −512.829 | + | 137.412i | −0.910887 | + | 0.244071i | −0.683686 | − | 0.729776i | \(-0.739624\pi\) |
−0.227201 | + | 0.973848i | \(0.572957\pi\) | |||||||
\(564\) | −221.394 | − | 84.8082i | −0.392542 | − | 0.150369i | ||||
\(565\) | 666.865 | + | 178.686i | 1.18029 | + | 0.316258i | ||||
\(566\) | −839.869 | − | 272.567i | −1.48387 | − | 0.481566i | ||||
\(567\) | −33.9139 | + | 53.0928i | −0.0598128 | + | 0.0936382i | ||||
\(568\) | 45.6089 | − | 289.924i | 0.0802974 | − | 0.510430i | ||||
\(569\) | −438.433 | + | 253.129i | −0.770532 | + | 0.444867i | −0.833064 | − | 0.553176i | \(-0.813416\pi\) |
0.0625324 | + | 0.998043i | \(0.480082\pi\) | |||||||
\(570\) | 297.155 | + | 329.793i | 0.521325 | + | 0.578585i | ||||
\(571\) | −42.1936 | + | 11.3057i | −0.0738942 | + | 0.0197999i | −0.295577 | − | 0.955319i | \(-0.595512\pi\) |
0.221683 | + | 0.975119i | \(0.428845\pi\) | |||||||
\(572\) | −1.64925 | + | 15.7974i | −0.00288330 | + | 0.0276179i | ||||
\(573\) | −270.853 | − | 270.853i | −0.472693 | − | 0.472693i | ||||
\(574\) | −297.926 | + | 416.920i | −0.519034 | + | 0.726342i | ||||
\(575\) | 22.0385 | 0.0383278 | ||||||||
\(576\) | 187.721 | − | 40.3115i | 0.325904 | − | 0.0699852i | ||||
\(577\) | −130.713 | − | 75.4674i | −0.226540 | − | 0.130793i | 0.382435 | − | 0.923982i | \(-0.375086\pi\) |
−0.608975 | + | 0.793190i | \(0.708419\pi\) | |||||||
\(578\) | 545.600 | + | 28.4031i | 0.943944 | + | 0.0491403i | ||||
\(579\) | 74.8046 | − | 279.174i | 0.129196 | − | 0.482167i | ||||
\(580\) | 29.3764 | + | 21.3120i | 0.0506490 | + | 0.0367448i | ||||
\(581\) | 12.6216 | + | 13.8074i | 0.0217239 | + | 0.0237649i | ||||
\(582\) | 509.324 | + | 165.293i | 0.875126 | + | 0.284009i | ||||
\(583\) | 27.7989 | − | 16.0497i | 0.0476826 | − | 0.0275295i | ||||
\(584\) | −360.528 | + | 446.167i | −0.617342 | + | 0.763985i | ||||
\(585\) | 106.069 | + | 61.2393i | 0.181315 | + | 0.104682i | ||||
\(586\) | 118.079 | + | 554.567i | 0.201499 | + | 0.946359i | ||||
\(587\) | −704.233 | + | 704.233i | −1.19972 | + | 1.19972i | −0.225464 | + | 0.974251i | \(0.572390\pi\) |
−0.974251 | + | 0.225464i | \(0.927610\pi\) | |||||||
\(588\) | 189.354 | + | 281.768i | 0.322030 | + | 0.479197i | ||||
\(589\) | 168.154 | − | 168.154i | 0.285491 | − | 0.285491i | ||||
\(590\) | 306.549 | + | 198.923i | 0.519574 | + | 0.337158i | ||||
\(591\) | 25.3802 | + | 14.6533i | 0.0429445 | + | 0.0247940i | ||||
\(592\) | −82.7090 | − | 126.973i | −0.139711 | − | 0.214481i | ||||
\(593\) | −467.655 | + | 270.001i | −0.788626 | + | 0.455313i | −0.839479 | − | 0.543393i | \(-0.817139\pi\) |
0.0508527 | + | 0.998706i | \(0.483806\pi\) | |||||||
\(594\) | 2.25636 | + | 4.42455i | 0.00379859 | + | 0.00744873i | ||||
\(595\) | 92.3362 | + | 101.011i | 0.155187 | + | 0.169767i | ||||
\(596\) | −280.441 | + | 44.6178i | −0.470539 | + | 0.0748621i | ||||
\(597\) | −55.8050 | + | 208.267i | −0.0934756 | + | 0.348856i | ||||
\(598\) | 318.125 | − | 286.642i | 0.531982 | − | 0.479334i | ||||
\(599\) | −8.10018 | − | 4.67664i | −0.0135228 | − | 0.00780741i | 0.493223 | − | 0.869903i | \(-0.335819\pi\) |
−0.506746 | + | 0.862095i | \(0.669152\pi\) | |||||||
\(600\) | 10.8308 | + | 4.80863i | 0.0180514 | + | 0.00801439i | ||||
\(601\) | −896.701 | −1.49201 | −0.746007 | − | 0.665938i | \(-0.768032\pi\) | ||||
−0.746007 | + | 0.665938i | \(0.768032\pi\) | |||||||
\(602\) | −868.946 | + | 144.647i | −1.44343 | + | 0.240277i | ||||
\(603\) | 224.283 | + | 224.283i | 0.371946 | + | 0.371946i | ||||
\(604\) | 92.1040 | − | 882.223i | 0.152490 | − | 1.46063i | ||||
\(605\) | −573.218 | + | 153.593i | −0.947469 | + | 0.253873i | ||||
\(606\) | −21.1201 | − | 1.09948i | −0.0348516 | − | 0.00181432i | ||||
\(607\) | 531.237 | − | 306.710i | 0.875185 | − | 0.505288i | 0.00611707 | − | 0.999981i | \(-0.498053\pi\) |
0.869068 | + | 0.494693i | \(0.164720\pi\) | |||||||
\(608\) | 834.549 | − | 1.45347i | 1.37261 | − | 0.00239057i | ||||
\(609\) | −12.0516 | + | 18.8671i | −0.0197892 | + | 0.0309804i | ||||
\(610\) | 87.0581 | + | 170.714i | 0.142718 | + | 0.279859i | ||||
\(611\) | −274.630 | − | 73.5869i | −0.449476 | − | 0.120437i | ||||
\(612\) | 19.4502 | + | 43.6041i | 0.0317814 | + | 0.0712485i | ||||
\(613\) | −335.641 | + | 89.9346i | −0.547538 | + | 0.146712i | −0.521975 | − | 0.852961i | \(-0.674805\pi\) |
−0.0255630 | + | 0.999673i | \(0.508138\pi\) | |||||||
\(614\) | −323.573 | + | 68.8954i | −0.526992 | + | 0.112208i | ||||
\(615\) | 311.513 | 0.506526 | ||||||||
\(616\) | 26.7137 | − | 1.62960i | 0.0433665 | − | 0.00264545i | ||||
\(617\) | 815.272i | 1.32135i | 0.750672 | + | 0.660675i | \(0.229730\pi\) | ||||
−0.750672 | + | 0.660675i | \(0.770270\pi\) | |||||||
\(618\) | 213.026 | − | 45.3576i | 0.344702 | − | 0.0733942i | ||||
\(619\) | 91.2147 | + | 340.418i | 0.147358 | + | 0.549948i | 0.999639 | + | 0.0268637i | \(0.00855200\pi\) |
−0.852281 | + | 0.523084i | \(0.824781\pi\) | |||||||
\(620\) | −64.1110 | + | 167.363i | −0.103405 | + | 0.269941i | ||||
\(621\) | 34.6563 | − | 129.339i | 0.0558072 | − | 0.208275i | ||||
\(622\) | 507.927 | + | 996.005i | 0.816603 | + | 1.60129i | ||||
\(623\) | 22.8120 | + | 43.9507i | 0.0366164 | + | 0.0705468i | ||||
\(624\) | 218.885 | − | 71.4575i | 0.350778 | − | 0.114515i | ||||
\(625\) | −301.444 | − | 522.116i | −0.482310 | − | 0.835386i | ||||
\(626\) | 77.2710 | + | 4.02261i | 0.123436 | + | 0.00642590i | ||||
\(627\) | 5.58744 | + | 20.8526i | 0.00891138 | + | 0.0332577i | ||||
\(628\) | −641.048 | − | 790.502i | −1.02078 | − | 1.25876i | ||||
\(629\) | 26.6458 | − | 26.6458i | 0.0423622 | − | 0.0423622i | ||||
\(630\) | 72.4402 | − | 193.245i | 0.114984 | − | 0.306739i | ||||
\(631\) | − | 38.2521i | − | 0.0606214i | −0.999541 | − | 0.0303107i | \(-0.990350\pi\) | ||
0.999541 | − | 0.0303107i | \(-0.00964968\pi\) | |||||||
\(632\) | 181.008 | + | 470.073i | 0.286405 | + | 0.743786i | ||||
\(633\) | 333.994 | − | 578.495i | 0.527637 | − | 0.913895i | ||||
\(634\) | 73.9904 | − | 66.6679i | 0.116704 | − | 0.105154i | ||||
\(635\) | −723.208 | − | 193.783i | −1.13891 | − | 0.305170i | ||||
\(636\) | −376.654 | − | 273.254i | −0.592223 | − | 0.429645i | ||||
\(637\) | 260.940 | + | 312.502i | 0.409639 | + | 0.490584i | ||||
\(638\) | 0.801820 | + | 1.57231i | 0.00125677 | + | 0.00246443i | ||||
\(639\) | −55.0293 | − | 95.3135i | −0.0861178 | − | 0.149160i | ||||
\(640\) | −573.956 | + | 257.220i | −0.896807 | + | 0.401907i | ||||
\(641\) | 461.184 | − | 798.794i | 0.719476 | − | 1.24617i | −0.241732 | − | 0.970343i | \(-0.577716\pi\) |
0.961208 | − | 0.275825i | \(-0.0889511\pi\) | |||||||
\(642\) | 208.930 | + | 135.577i | 0.325436 | + | 0.211179i | ||||
\(643\) | 44.8400 | + | 44.8400i | 0.0697356 | + | 0.0697356i | 0.741114 | − | 0.671379i | \(-0.234298\pi\) |
−0.671379 | + | 0.741114i | \(0.734298\pi\) | |||||||
\(644\) | −564.456 | − | 449.457i | −0.876485 | − | 0.697915i | ||||
\(645\) | 378.667 | + | 378.667i | 0.587080 | + | 0.587080i | ||||
\(646\) | 43.2189 | + | 202.981i | 0.0669023 | + | 0.314212i | ||||
\(647\) | −468.981 | + | 812.300i | −0.724855 | + | 1.25549i | 0.234178 | + | 0.972194i | \(0.424760\pi\) |
−0.959033 | + | 0.283293i | \(0.908573\pi\) | |||||||
\(648\) | 45.2526 | − | 56.0018i | 0.0698342 | − | 0.0864226i | ||||
\(649\) | 8.88569 | + | 15.3905i | 0.0136914 | + | 0.0237141i | ||||
\(650\) | 13.5173 | + | 4.38684i | 0.0207959 | + | 0.00674899i | ||||
\(651\) | −105.398 | − | 33.3716i | −0.161902 | − | 0.0512621i | ||||
\(652\) | 157.738 | + | 991.447i | 0.241929 | + | 1.52062i | ||||
\(653\) | −903.088 | − | 241.982i | −1.38298 | − | 0.370569i | −0.510779 | − | 0.859712i | \(-0.670643\pi\) |
−0.872204 | + | 0.489143i | \(0.837310\pi\) | |||||||
\(654\) | 469.673 | + | 24.4505i | 0.718155 | + | 0.0373861i | ||||
\(655\) | 559.291 | − | 968.721i | 0.853880 | − | 1.47896i | ||||
\(656\) | 391.257 | − | 435.755i | 0.596429 | − | 0.664260i | ||||
\(657\) | 215.109i | 0.327411i | ||||||||
\(658\) | −46.3259 | + | 476.832i | −0.0704041 | + | 0.724668i | ||||
\(659\) | 267.197 | − | 267.197i | 0.405459 | − | 0.405459i | −0.474693 | − | 0.880152i | \(-0.657441\pi\) |
0.880152 | + | 0.474693i | \(0.157441\pi\) | |||||||
\(660\) | −10.2478 | − | 12.6370i | −0.0155270 | − | 0.0191469i | ||||
\(661\) | −84.6934 | − | 316.080i | −0.128129 | − | 0.478184i | 0.871803 | − | 0.489857i | \(-0.162951\pi\) |
−0.999932 | + | 0.0116727i | \(0.996284\pi\) | |||||||
\(662\) | −496.701 | − | 551.256i | −0.750304 | − | 0.832714i | ||||
\(663\) | 28.6292 | + | 49.5871i | 0.0431812 | + | 0.0747921i | ||||
\(664\) | −12.5845 | − | 17.2831i | −0.0189526 | − | 0.0260288i | ||||
\(665\) | 482.891 | − | 755.975i | 0.726152 | − | 1.13680i | ||||
\(666\) | −54.0506 | − | 17.5413i | −0.0811570 | − | 0.0263383i | ||||
\(667\) | 12.3154 | − | 45.9619i | 0.0184639 | − | 0.0689083i | ||||
\(668\) | −438.230 | − | 982.438i | −0.656033 | − | 1.47072i | ||||
\(669\) | 118.028 | + | 440.487i | 0.176425 | + | 0.658427i | ||||
\(670\) | −871.609 | − | 565.598i | −1.30091 | − | 0.844176i | ||||
\(671\) | 9.31917i | 0.0138885i | ||||||||
\(672\) | −179.334 | − | 344.046i | −0.266866 | − | 0.511973i | ||||
\(673\) | 668.360 | 0.993106 | 0.496553 | − | 0.868006i | \(-0.334599\pi\) | ||||
0.496553 | + | 0.868006i | \(0.334599\pi\) | |||||||
\(674\) | −238.937 | + | 368.212i | −0.354507 | + | 0.546309i | ||||
\(675\) | 4.29244 | − | 1.15016i | 0.00635917 | − | 0.00170393i | ||||
\(676\) | −365.186 | + | 162.896i | −0.540216 | + | 0.240971i | ||||
\(677\) | 1286.06 | + | 344.600i | 1.89965 | + | 0.509010i | 0.996884 | + | 0.0788822i | \(0.0251351\pi\) |
0.902768 | + | 0.430128i | \(0.141532\pi\) | |||||||
\(678\) | 150.241 | − | 462.944i | 0.221595 | − | 0.682808i | ||||
\(679\) | 48.5005 | − | 1080.96i | 0.0714294 | − | 1.59199i | ||||
\(680\) | −92.0651 | − | 126.439i | −0.135390 | − | 0.185939i | ||||
\(681\) | 492.500 | − | 284.345i | 0.723201 | − | 0.417540i | ||||
\(682\) | −6.47502 | + | 5.83422i | −0.00949416 | + | 0.00855457i | ||||
\(683\) | 835.054 | − | 223.752i | 1.22263 | − | 0.327602i | 0.410922 | − | 0.911670i | \(-0.365207\pi\) |
0.811704 | + | 0.584069i | \(0.198540\pi\) | |||||||
\(684\) | 243.076 | − | 197.119i | 0.355374 | − | 0.288186i | ||||
\(685\) | 118.973 | + | 118.973i | 0.173683 | + | 0.173683i | ||||
\(686\) | 447.223 | − | 520.181i | 0.651928 | − | 0.758281i | ||||
\(687\) | 106.134 | 0.154489 | ||||||||
\(688\) | 1005.29 | − | 54.0897i | 1.46118 | − | 0.0786188i | ||||
\(689\) | −483.283 | − | 279.024i | −0.701427 | − | 0.404969i | ||||
\(690\) | −22.8039 | + | 438.044i | −0.0330492 | + | 0.634847i | ||||
\(691\) | −13.7966 | + | 51.4895i | −0.0199661 | + | 0.0745145i | −0.975190 | − | 0.221369i | \(-0.928947\pi\) |
0.955224 | + | 0.295884i | \(0.0956141\pi\) | |||||||
\(692\) | −567.069 | + | 90.2199i | −0.819464 | + | 0.130376i | ||||
\(693\) | 7.40768 | − | 6.77149i | 0.0106893 | − | 0.00977127i | ||||
\(694\) | −177.801 | + | 547.863i | −0.256197 | + | 0.789428i | ||||
\(695\) | 147.520 | − | 85.1706i | 0.212259 | − | 0.122548i | ||||
\(696\) | 16.0809 | − | 19.9008i | 0.0231048 | − | 0.0285931i | ||||
\(697\) | 126.121 | + | 72.8158i | 0.180948 | + | 0.104470i | ||||
\(698\) | −596.127 | + | 126.928i | −0.854050 | + | 0.181845i | ||||
\(699\) | 425.842 | − | 425.842i | 0.609216 | − | 0.609216i | ||||
\(700\) | 3.55151 | − | 23.6814i | 0.00507358 | − | 0.0338305i | ||||
\(701\) | −276.351 | + | 276.351i | −0.394225 | + | 0.394225i | −0.876190 | − | 0.481966i | \(-0.839923\pi\) |
0.481966 | + | 0.876190i | \(0.339923\pi\) | |||||||
\(702\) | 47.0018 | − | 72.4317i | 0.0669542 | − | 0.103179i | ||||
\(703\) | −213.908 | − | 123.500i | −0.304279 | − | 0.175675i | ||||
\(704\) | −30.5481 | − | 1.53695i | −0.0433922 | − | 0.00218316i | ||||
\(705\) | 252.220 | − | 145.619i | 0.357759 | − | 0.206552i | ||||
\(706\) | 845.088 | − | 430.965i | 1.19701 | − | 0.610432i | ||||
\(707\) | 9.19942 | + | 41.7338i | 0.0130119 | + | 0.0590294i | ||||
\(708\) | 151.283 | − | 208.529i | 0.213677 | − | 0.294532i | ||||
\(709\) | −72.2905 | + | 269.792i | −0.101961 | + | 0.380524i | −0.997983 | − | 0.0634863i | \(-0.979778\pi\) |
0.896022 | + | 0.444011i | \(0.146445\pi\) | |||||||
\(710\) | 241.337 | + | 267.844i | 0.339911 | + | 0.377245i | ||||
\(711\) | 163.587 | + | 94.4472i | 0.230081 | + | 0.132837i | ||||
\(712\) | −20.3360 | − | 52.8122i | −0.0285618 | − | 0.0741744i | ||||
\(713\) | 234.976 | 0.329560 | ||||||||
\(714\) | 74.4993 | − | 61.3054i | 0.104341 | − | 0.0858618i | ||||
\(715\) | −13.7967 | − | 13.7967i | −0.0192962 | − | 0.0192962i | ||||
\(716\) | −621.773 | + | 504.220i | −0.868398 | + | 0.704217i | ||||
\(717\) | −294.383 | + | 78.8797i | −0.410576 | + | 0.110014i | ||||
\(718\) | −29.3503 | + | 563.794i | −0.0408779 | + | 0.785229i | ||||
\(719\) | −1005.04 | + | 580.258i | −1.39783 | + | 0.807035i | −0.994165 | − | 0.107874i | \(-0.965596\pi\) |
−0.403661 | + | 0.914909i | \(0.632262\pi\) | |||||||
\(720\) | −106.785 | + | 210.301i | −0.148312 | + | 0.292085i | ||||
\(721\) | −202.753 | − | 390.633i | −0.281210 | − | 0.541793i | ||||
\(722\) | 568.630 | − | 289.981i | 0.787576 | − | 0.401635i | ||||
\(723\) | −115.895 | − | 31.0541i | −0.160298 | − | 0.0429517i | ||||
\(724\) | −1278.53 | − | 489.761i | −1.76593 | − | 0.676465i | ||||
\(725\) | 1.52536 | − | 0.408719i | 0.00210395 | − | 0.000563751i | ||||
\(726\) | 87.1255 | + | 409.192i | 0.120008 | + | 0.563626i | ||||
\(727\) | −769.974 | −1.05911 | −0.529556 | − | 0.848275i | \(-0.677641\pi\) | ||||
−0.529556 | + | 0.848275i | \(0.677641\pi\) | |||||||
\(728\) | −256.744 | − | 388.032i | −0.352670 | − | 0.533011i | ||||
\(729\) | − | 27.0000i | − | 0.0370370i | ||||||
\(730\) | −146.747 | − | 689.210i | −0.201023 | − | 0.944124i | ||||
\(731\) | 64.7958 | + | 241.821i | 0.0886400 | + | 0.330809i | ||||
\(732\) | 123.379 | − | 55.0348i | 0.168550 | − | 0.0751841i | ||||
\(733\) | 316.504 | − | 1181.21i | 0.431793 | − | 1.61147i | −0.316833 | − | 0.948482i | \(-0.602619\pi\) |
0.748626 | − | 0.662993i | \(-0.230714\pi\) | |||||||
\(734\) | −728.631 | + | 371.576i | −0.992685 | + | 0.506234i | ||||
\(735\) | −415.355 | − | 37.3476i | −0.565109 | − | 0.0508130i | ||||
\(736\) | 584.109 | + | 582.078i | 0.793626 | + | 0.790866i | ||||
\(737\) | −25.2647 | − | 43.7597i | −0.0342804 | − | 0.0593754i | ||||
\(738\) | 11.4172 | − | 219.315i | 0.0154705 | − | 0.297175i | ||||
\(739\) | 314.410 | + | 1173.39i | 0.425453 | + | 1.58781i | 0.762932 | + | 0.646478i | \(0.223759\pi\) |
−0.337480 | + | 0.941333i | \(0.609574\pi\) | |||||||
\(740\) | 185.145 | + | 19.3291i | 0.250195 | + | 0.0261204i | ||||
\(741\) | 265.384 | − | 265.384i | 0.358143 | − | 0.358143i | ||||
\(742\) | −330.059 | + | 880.482i | −0.444823 | + | 1.18663i | ||||
\(743\) | − | 68.3881i | − | 0.0920433i | −0.998940 | − | 0.0460216i | \(-0.985346\pi\) | ||
0.998940 | − | 0.0460216i | \(-0.0146543\pi\) | |||||||
\(744\) | 115.479 | + | 51.2700i | 0.155214 | + | 0.0689113i | ||||
\(745\) | 174.418 | − | 302.101i | 0.234118 | − | 0.405504i | ||||
\(746\) | −307.341 | − | 341.098i | −0.411985 | − | 0.457235i | ||||
\(747\) | −7.74407 | − | 2.07502i | −0.0103669 | − | 0.00277780i | ||||
\(748\) | −1.19509 | − | 7.51166i | −0.00159772 | − | 0.0100423i | ||||
\(749\) | 151.920 | − | 479.814i | 0.202831 | − | 0.640606i | ||||
\(750\) | −392.062 | + | 199.937i | −0.522749 | + | 0.266583i | ||||
\(751\) | −533.902 | − | 924.745i | −0.710921 | − | 1.23135i | −0.964512 | − | 0.264040i | \(-0.914945\pi\) |
0.253591 | − | 0.967312i | \(-0.418388\pi\) | |||||||
\(752\) | 113.089 | − | 535.710i | 0.150384 | − | 0.712380i | ||||
\(753\) | −350.648 | + | 607.339i | −0.465667 | + | 0.806560i | ||||
\(754\) | 16.7026 | − | 25.7393i | 0.0221519 | − | 0.0341370i | ||||
\(755\) | 770.493 | + | 770.493i | 1.02052 | + | 1.02052i | ||||
\(756\) | −133.396 | − | 58.0827i | −0.176449 | − | 0.0768290i | ||||
\(757\) | 348.651 | + | 348.651i | 0.460570 | + | 0.460570i | 0.898842 | − | 0.438272i | \(-0.144409\pi\) |
−0.438272 | + | 0.898842i | \(0.644409\pi\) | |||||||
\(758\) | 355.718 | − | 75.7397i | 0.469285 | − | 0.0999205i | ||||
\(759\) | −10.6657 | + | 18.4735i | −0.0140522 | + | 0.0243392i | ||||
\(760\) | −644.340 | + | 797.396i | −0.847815 | + | 1.04920i | ||||
\(761\) | −233.726 | − | 404.825i | −0.307130 | − | 0.531965i | 0.670603 | − | 0.741816i | \(-0.266035\pi\) |
−0.977733 | + | 0.209852i | \(0.932702\pi\) | |||||||
\(762\) | −162.935 | + | 502.058i | −0.213826 | + | 0.658869i | ||||
\(763\) | −204.579 | − | 928.086i | −0.268124 | − | 1.21636i | ||||
\(764\) | 519.457 | − | 716.020i | 0.679918 | − | 0.937199i | ||||
\(765\) | −56.6536 | − | 15.1803i | −0.0740570 | − | 0.0198435i | ||||
\(766\) | 1.45610 | − | 27.9705i | 0.00190092 | − | 0.0365151i | ||||
\(767\) | 154.477 | − | 267.563i | 0.201405 | − | 0.348843i | ||||
\(768\) | 160.055 | + | 413.510i | 0.208405 | + | 0.538424i | ||||
\(769\) | 794.625i | 1.03332i | 0.856190 | + | 0.516661i | \(0.172825\pi\) | ||||
−0.856190 | + | 0.516661i | \(0.827175\pi\) | |||||||
\(770\) | −19.1147 | + | 26.7494i | −0.0248243 | + | 0.0347394i | ||||
\(771\) | 295.926 | − | 295.926i | 0.383821 | − | 0.383821i | ||||
\(772\) | 663.861 | + | 69.3071i | 0.859924 | + | 0.0897760i | ||||
\(773\) | 13.0468 | + | 48.6914i | 0.0168782 | + | 0.0629901i | 0.973851 | − | 0.227186i | \(-0.0729527\pi\) |
−0.956973 | + | 0.290176i | \(0.906286\pi\) | |||||||
\(774\) | 280.471 | − | 252.714i | 0.362366 | − | 0.326504i | ||||
\(775\) | 3.89914 | + | 6.75351i | 0.00503115 | + | 0.00871421i | ||||
\(776\) | −192.174 | + | 1221.60i | −0.247647 | + | 1.57423i | ||||
\(777\) | −5.14699 | + | 114.714i | −0.00662418 | + | 0.147637i | ||||
\(778\) | 285.162 | − | 878.680i | 0.366532 | − | 1.12941i | ||||
\(779\) | 247.061 | − | 922.043i | 0.317151 | − | 1.18362i | ||||
\(780\) | −101.181 | + | 264.136i | −0.129719 | + | 0.338635i | ||||
\(781\) | 4.53787 | + | 16.9356i | 0.00581033 | + | 0.0216845i | ||||
\(782\) | −111.625 | + | 172.018i | −0.142743 | + | 0.219972i | ||||
\(783\) | − | 9.59471i | − | 0.0122538i | ||||||
\(784\) | −573.924 | + | 534.104i | −0.732046 | + | 0.681255i | ||||
\(785\) | 1250.25 | 1.59268 | ||||||||
\(786\) | −661.510 | − | 429.262i | −0.841616 | − | 0.546135i | ||||
\(787\) | −78.9004 | + | 21.1413i | −0.100255 | + | 0.0268631i | −0.308598 | − | 0.951193i | \(-0.599860\pi\) |
0.208343 | + | 0.978056i | \(0.433193\pi\) | |||||||
\(788\) | −24.2105 | + | 63.2021i | −0.0307240 | + | 0.0802057i | ||||
\(789\) | −622.997 | − | 166.932i | −0.789604 | − | 0.211574i | ||||
\(790\) | −588.566 | − | 191.010i | −0.745020 | − | 0.241785i | ||||
\(791\) | −982.525 | − | 44.0840i | −1.24213 | − | 0.0557320i | ||||
\(792\) | −9.27240 | + | 6.75161i | −0.0117076 | + | 0.00852475i | ||||
\(793\) | 140.308 | − | 81.0067i | 0.176933 | − | 0.102152i | ||||
\(794\) | −557.625 | − | 618.872i | −0.702298 | − | 0.779435i | ||||
\(795\) | 552.154 | − | 147.949i | 0.694534 | − | 0.186100i | ||||
\(796\) | −495.247 | − | 51.7038i | −0.622170 | − | 0.0649545i | ||||
\(797\) | 181.021 | + | 181.021i | 0.227128 | + | 0.227128i | 0.811492 | − | 0.584364i | \(-0.198656\pi\) |
−0.584364 | + | 0.811492i | \(0.698656\pi\) | |||||||
\(798\) | −514.531 | − | 367.677i | −0.644776 | − | 0.460748i | ||||
\(799\) | 136.153 | 0.170405 | ||||||||
\(800\) | −7.03707 | + | 26.4469i | −0.00879634 | + | 0.0330586i | ||||
\(801\) | −18.3789 | − | 10.6110i | −0.0229449 | − | 0.0132472i | ||||
\(802\) | −361.590 | − | 18.8238i | −0.450860 | − | 0.0234711i | ||||
\(803\) | 8.86926 | − | 33.1005i | 0.0110452 | − | 0.0412211i | ||||
\(804\) | −430.143 | + | 592.909i | −0.535004 | + | 0.737450i | ||||
\(805\) | 865.586 | − | 190.802i | 1.07526 | − | 0.237021i | ||||
\(806\) | 144.123 | + | 46.7729i | 0.178813 | + | 0.0580309i | ||||
\(807\) | 445.577 | − | 257.254i | 0.552140 | − | 0.318778i | ||||
\(808\) | −5.15601 | − | 48.5679i | −0.00638119 | − | 0.0601087i | ||||
\(809\) | 457.698 | + | 264.252i | 0.565758 | + | 0.326641i | 0.755453 | − | 0.655202i | \(-0.227417\pi\) |
−0.189695 | + | 0.981843i | \(0.560750\pi\) | |||||||
\(810\) | 18.4193 | + | 86.5080i | 0.0227399 | + | 0.106800i | ||||
\(811\) | −995.155 | + | 995.155i | −1.22707 | + | 1.22707i | −0.262006 | + | 0.965066i | \(0.584384\pi\) |
−0.965066 | + | 0.262006i | \(0.915616\pi\) | |||||||
\(812\) | −47.4034 | − | 20.6403i | −0.0583786 | − | 0.0254190i | ||||
\(813\) | 3.18883 | − | 3.18883i | 0.00392230 | − | 0.00392230i | ||||
\(814\) | 7.59392 | + | 4.92779i | 0.00932914 | + | 0.00605380i | ||||
\(815\) | −1068.02 | − | 616.622i | −1.31045 | − | 0.756591i | ||||
\(816\) | −92.3909 | + | 60.1826i | −0.113224 | + | 0.0737531i | ||||
\(817\) | 1421.13 | − | 820.488i | 1.73945 | − | 1.00427i | ||||
\(818\) | 248.712 | + | 487.705i | 0.304049 | + | 0.596216i | ||||
\(819\) | −166.341 | − | 52.6677i | −0.203103 | − | 0.0643073i | ||||
\(820\) | 113.035 | + | 710.474i | 0.137848 | + | 0.866432i | ||||
\(821\) | −397.142 | + | 1482.15i | −0.483729 | + | 1.80530i | 0.101987 | + | 0.994786i | \(0.467480\pi\) |
−0.585716 | + | 0.810516i | \(0.699187\pi\) | |||||||
\(822\) | 88.1209 | − | 79.4000i | 0.107203 | − | 0.0965937i | ||||
\(823\) | 591.308 | + | 341.392i | 0.718479 | + | 0.414814i | 0.814193 | − | 0.580595i | \(-0.197180\pi\) |
−0.0957135 | + | 0.995409i | \(0.530513\pi\) | |||||||
\(824\) | 180.746 | + | 469.393i | 0.219352 | + | 0.569652i | ||||
\(825\) | −0.707933 | −0.000858101 | ||||||||
\(826\) | −487.466 | − | 182.732i | −0.590153 | − | 0.221225i | ||||
\(827\) | −264.449 | − | 264.449i | −0.319769 | − | 0.319769i | 0.528910 | − | 0.848678i | \(-0.322601\pi\) |
−0.848678 | + | 0.528910i | \(0.822601\pi\) | |||||||
\(828\) | 307.561 | + | 32.1093i | 0.371450 | + | 0.0387794i | ||||
\(829\) | 806.013 | − | 215.971i | 0.972272 | − | 0.260519i | 0.262485 | − | 0.964936i | \(-0.415458\pi\) |
0.709787 | + | 0.704417i | \(0.248791\pi\) | |||||||
\(830\) | 26.2276 | + | 1.36537i | 0.0315995 | + | 0.00164502i | ||||
\(831\) | −356.201 | + | 205.653i | −0.428642 | + | 0.247476i | ||||
\(832\) | 242.399 | + | 473.287i | 0.291345 | + | 0.568854i | ||||
\(833\) | −159.432 | − | 112.209i | −0.191396 | − | 0.134705i | ||||
\(834\) | −54.5559 | − | 106.980i | −0.0654148 | − | 0.128273i | ||||
\(835\) | 1276.45 | + | 342.025i | 1.52869 | + | 0.409610i | ||||
\(836\) | −45.5314 | + | 20.3099i | −0.0544634 | + | 0.0242941i | ||||
\(837\) | 45.7663 | − | 12.2631i | 0.0546790 | − | 0.0146512i | ||||
\(838\) | −1247.96 | + | 265.717i | −1.48922 | + | 0.317085i | ||||
\(839\) | 119.715 | 0.142688 | 0.0713441 | − | 0.997452i | \(-0.477271\pi\) | ||||
0.0713441 | + | 0.997452i | \(0.477271\pi\) | |||||||
\(840\) | 467.024 | + | 95.0948i | 0.555981 | + | 0.113208i | ||||
\(841\) | 837.590i | 0.995946i | ||||||||
\(842\) | 327.717 | − | 69.7778i | 0.389213 | − | 0.0828715i | ||||
\(843\) | −218.083 | − | 813.899i | −0.258699 | − | 0.965479i | ||||
\(844\) | 1440.58 | + | 551.834i | 1.70684 | + | 0.653832i | ||||
\(845\) | 127.135 | − | 474.476i | 0.150456 | − | 0.561510i | ||||
\(846\) | −93.2764 | − | 182.908i | −0.110256 | − | 0.216203i | ||||
\(847\) | 750.350 | − | 389.459i | 0.885891 | − | 0.459810i | ||||
\(848\) | 486.543 | − | 958.193i | 0.573754 | − | 1.12994i | ||||
\(849\) | −382.346 | − | 662.243i | −0.450349 | − | 0.780027i | ||||
\(850\) | −6.79629 | − | 0.353805i | −0.00799563 | − | 0.000416241i | ||||
\(851\) | −63.1674 | − | 235.744i | −0.0742273 | − | 0.277020i | ||||
\(852\) | 197.415 | − | 160.092i | 0.231708 | − | 0.187901i | ||||
\(853\) | 18.2725 | − | 18.2725i | 0.0214215 | − | 0.0214215i | −0.696315 | − | 0.717736i | \(-0.745178\pi\) |
0.717736 | + | 0.696315i | \(0.245178\pi\) | |||||||
\(854\) | −173.465 | − | 210.797i | −0.203120 | − | 0.246835i | ||||
\(855\) | 384.446i | 0.449645i | ||||||||
\(856\) | −233.401 | + | 525.705i | −0.272665 | + | 0.614142i | ||||
\(857\) | 670.958 | − | 1162.13i | 0.782914 | − | 1.35605i | −0.147323 | − | 0.989088i | \(-0.547066\pi\) |
0.930237 | − | 0.366959i | \(-0.119601\pi\) | |||||||
\(858\) | −10.2190 | + | 9.20767i | −0.0119102 | + | 0.0107315i | ||||
\(859\) | 297.288 | + | 79.6580i | 0.346086 | + | 0.0927334i | 0.427675 | − | 0.903933i | \(-0.359333\pi\) |
−0.0815891 | + | 0.996666i | \(0.526000\pi\) | |||||||
\(860\) | −726.229 | + | 1001.03i | −0.844452 | + | 1.16399i | ||||
\(861\) | −433.372 | + | 95.5285i | −0.503335 | + | 0.110951i | ||||
\(862\) | 237.641 | + | 465.995i | 0.275685 | + | 0.540598i | ||||
\(863\) | 151.816 | + | 262.954i | 0.175917 | + | 0.304697i | 0.940478 | − | 0.339854i | \(-0.110378\pi\) |
−0.764561 | + | 0.644551i | \(0.777044\pi\) | |||||||
\(864\) | 144.145 | + | 82.8875i | 0.166834 | + | 0.0959346i | ||||
\(865\) | 352.684 | − | 610.867i | 0.407727 | − | 0.706204i | ||||
\(866\) | −646.136 | − | 419.286i | −0.746115 | − | 0.484163i | ||||
\(867\) | 334.563 | + | 334.563i | 0.385885 | + | 0.385885i | ||||
\(868\) | 37.8665 | − | 252.493i | 0.0436250 | − | 0.290890i | ||||
\(869\) | −21.2783 | − | 21.2783i | −0.0244859 | − | 0.0244859i | ||||
\(870\) | 6.54549 | + | 30.7415i | 0.00752356 | + | 0.0353350i | ||||
\(871\) | −439.225 | + | 760.761i | −0.504277 | + | 0.873434i | ||||
\(872\) | 114.660 | + | 1080.06i | 0.131491 | + | 1.23860i | ||||
\(873\) | 231.867 | + | 401.605i | 0.265598 | + | 0.460029i | ||||
\(874\) | 1278.47 | + | 414.909i | 1.46278 | + | 0.474724i | ||||
\(875\) | 600.025 | + | 656.399i | 0.685743 | + | 0.750170i | ||||
\(876\) | −490.603 | + | 78.0543i | −0.560049 | + | 0.0891031i | ||||
\(877\) | 1586.29 | + | 425.044i | 1.80876 | + | 0.484657i | 0.995290 | − | 0.0969430i | \(-0.0309065\pi\) |
0.813475 | + | 0.581600i | \(0.197573\pi\) | |||||||
\(878\) | 36.8839 | + | 1.92012i | 0.0420090 | + | 0.00218693i | ||||
\(879\) | −245.517 | + | 425.248i | −0.279314 | + | 0.483787i | ||||
\(880\) | 25.1028 | − | 27.9578i | 0.0285259 | − | 0.0317702i | ||||
\(881\) | − | 576.277i | − | 0.654117i | −0.945004 | − | 0.327058i | \(-0.893943\pi\) | ||
0.945004 | − | 0.327058i | \(-0.106057\pi\) | |||||||
\(882\) | −41.5169 | + | 291.054i | −0.0470713 | + | 0.329993i | ||||
\(883\) | 299.829 | − | 299.829i | 0.339557 | − | 0.339557i | −0.516644 | − | 0.856201i | \(-0.672819\pi\) |
0.856201 | + | 0.516644i | \(0.172819\pi\) | |||||||
\(884\) | −102.706 | + | 83.2881i | −0.116183 | + | 0.0942173i | ||||
\(885\) | 81.9100 | + | 305.692i | 0.0925536 | + | 0.345415i | ||||
\(886\) | 836.732 | + | 928.635i | 0.944393 | + | 1.04812i | ||||
\(887\) | 307.801 | + | 533.127i | 0.347014 | + | 0.601045i | 0.985717 | − | 0.168408i | \(-0.0538625\pi\) |
−0.638704 | + | 0.769453i | \(0.720529\pi\) | |||||||
\(888\) | 20.3940 | − | 129.639i | 0.0229662 | − | 0.145990i | ||||
\(889\) | 1065.54 | + | 47.8087i | 1.19858 | + | 0.0537781i | ||||
\(890\) | 66.1247 | + | 21.4598i | 0.0742974 | + | 0.0241121i | ||||
\(891\) | −1.11325 | + | 4.15470i | −0.00124944 | + | 0.00466296i | ||||
\(892\) | −961.799 | + | 429.024i | −1.07825 | + | 0.480968i | ||||
\(893\) | −230.981 | − | 862.032i | −0.258657 | − | 0.965321i | ||||
\(894\) | −206.296 | − | 133.868i | −0.230756 | − | 0.149740i | ||||
\(895\) | − | 983.391i | − | 1.09876i | ||||||
\(896\) | 719.598 | − | 533.849i | 0.803123 | − | 0.595814i | ||||
\(897\) | 370.844 | 0.413427 | ||||||||
\(898\) | 712.535 | − | 1098.05i | 0.793469 | − | 1.22277i | ||||
\(899\) | 16.2635 | − | 4.35780i | 0.0180907 | − | 0.00484738i | ||||
\(900\) | 4.18073 | + | 9.37249i | 0.00464525 | + | 0.0104139i | ||||
\(901\) | 258.130 | + | 69.1658i | 0.286493 | + | 0.0767656i | ||||
\(902\) | −10.7995 | + | 33.2769i | −0.0119729 | + | 0.0368924i | ||||
\(903\) | −642.916 | − | 410.672i | −0.711977 | − | 0.454787i | ||||
\(904\) | 1110.36 | + | 174.675i | 1.22827 | + | 0.193224i | ||||
\(905\) | 1456.55 | − | 840.941i | 1.60945 | − | 0.929217i | ||||
\(906\) | 570.690 | − | 514.211i | 0.629900 | − | 0.567562i | ||||
\(907\) | 15.5077 | − | 4.15528i | 0.0170978 | − | 0.00458135i | −0.250260 | − | 0.968179i | \(-0.580516\pi\) |
0.267358 | + | 0.963597i | \(0.413849\pi\) | |||||||
\(908\) | 827.218 | + | 1020.08i | 0.911033 | + | 1.12343i | ||||
\(909\) | −12.9509 | − | 12.9509i | −0.0142474 | − | 0.0142474i | ||||
\(910\) | 568.888 | + | 55.2695i | 0.625151 | + | 0.0607357i | ||||
\(911\) | −909.033 | −0.997841 | −0.498920 | − | 0.866648i | \(-0.666270\pi\) | ||||
−0.498920 | + | 0.866648i | \(0.666270\pi\) | |||||||
\(912\) | 537.775 | + | 482.860i | 0.589666 | + | 0.529452i | ||||
\(913\) | 1.10608 | + | 0.638598i | 0.00121148 | + | 0.000699450i | ||||
\(914\) | 43.4610 | − | 834.849i | 0.0475503 | − | 0.913402i | ||||
\(915\) | −42.9529 | + | 160.302i | −0.0469431 | + | 0.175194i | ||||
\(916\) | 38.5117 | + | 242.062i | 0.0420433 | + | 0.264260i | ||||
\(917\) | −481.008 | + | 1519.18i | −0.524545 | + | 1.65668i | ||||
\(918\) | −12.7638 | + | 39.3295i | −0.0139039 | + | 0.0428426i | ||||
\(919\) | −613.945 | + | 354.462i | −0.668058 | + | 0.385703i | −0.795340 | − | 0.606163i | \(-0.792708\pi\) |
0.127282 | + | 0.991867i | \(0.459375\pi\) | |||||||
\(920\) | −1007.33 | + | 106.939i | −1.09492 | + | 0.116238i | ||||
\(921\) | −248.120 | − | 143.252i | −0.269403 | − | 0.155540i | ||||
\(922\) | 521.387 | − | 111.014i | 0.565495 | − | 0.120406i | ||||
\(923\) | 215.533 | − | 215.533i | 0.233514 | − | 0.233514i | ||||
\(924\) | 18.1318 | + | 14.4377i | 0.0196231 | + | 0.0156252i | ||||
\(925\) | 5.72739 | − | 5.72739i | 0.00619178 | − | 0.00619178i | ||||
\(926\) | 750.058 | − | 1155.87i | 0.809998 | − | 1.24824i | ||||
\(927\) | 163.351 | + | 94.3107i | 0.176215 | + | 0.101738i | ||||
\(928\) | 51.2232 | + | 29.4549i | 0.0551974 | + | 0.0317402i | ||||
\(929\) | 741.347 | − | 428.017i | 0.798006 | − | 0.460729i | −0.0447678 | − | 0.998997i | \(-0.514255\pi\) |
0.842773 | + | 0.538269i | \(0.180921\pi\) | |||||||
\(930\) | −138.270 | + | 70.5125i | −0.148677 | + | 0.0758199i | ||||
\(931\) | −439.962 | + | 1199.78i | −0.472569 | + | 1.28870i | ||||
\(932\) | 1125.74 | + | 816.704i | 1.20788 | + | 0.876292i | ||||
\(933\) | −250.602 | + | 935.259i | −0.268598 | + | 1.00242i | ||||
\(934\) | 730.976 | + | 811.262i | 0.782629 | + | 0.868589i | ||||
\(935\) | 8.09182 | + | 4.67182i | 0.00865435 | + | 0.00499659i | ||||
\(936\) | 182.251 | + | 80.9153i | 0.194713 | + | 0.0864480i | ||||
\(937\) | −1112.05 | −1.18682 | −0.593412 | − | 0.804899i | \(-0.702219\pi\) | ||||
−0.593412 | + | 0.804899i | \(0.702219\pi\) | |||||||
\(938\) | 1386.01 | + | 519.562i | 1.47762 | + | 0.553904i | ||||
\(939\) | 47.3827 | + | 47.3827i | 0.0504608 | + | 0.0504608i | ||||
\(940\) | 423.637 | + | 522.403i | 0.450678 | + | 0.555748i | ||||
\(941\) | 1111.64 | − | 297.862i | 1.18134 | − | 0.316538i | 0.385880 | − | 0.922549i | \(-0.373898\pi\) |
0.795457 | + | 0.606011i | \(0.207231\pi\) | |||||||
\(942\) | 45.8226 | − | 880.214i | 0.0486440 | − | 0.934410i | ||||
\(943\) | 816.843 | − | 471.605i | 0.866218 | − | 0.500111i | ||||
\(944\) | 530.490 | + | 269.368i | 0.561959 | + | 0.285347i | ||||
\(945\) | 158.633 | − | 82.3361i | 0.167865 | − | 0.0871282i | ||||
\(946\) | −53.5780 | + | 27.3229i | −0.0566364 | + | 0.0288825i | ||||
\(947\) | −1666.79 | − | 446.616i | −1.76008 | − | 0.471612i | −0.773348 | − | 0.633981i | \(-0.781420\pi\) |
−0.986730 | + | 0.162370i | \(0.948086\pi\) | |||||||
\(948\) | −156.048 | + | 407.368i | −0.164608 | + | 0.429713i | ||||
\(949\) | −575.452 | + | 154.192i | −0.606377 | + | 0.162478i | ||||
\(950\) | 9.28969 | + | 43.6298i | 0.00977862 | + | 0.0459261i | ||||
\(951\) | 86.2519 | 0.0906960 | ||||||||
\(952\) | 166.853 | + | 147.666i | 0.175266 | + | 0.155112i | ||||
\(953\) | 671.118i | 0.704216i | 0.935959 | + | 0.352108i | \(0.114535\pi\) | ||||
−0.935959 | + | 0.352108i | \(0.885465\pi\) | |||||||
\(954\) | −83.9239 | − | 394.156i | −0.0879705 | − | 0.413161i | ||||
\(955\) | 281.252 | + | 1049.65i | 0.294505 | + | 1.09911i | ||||
\(956\) | −286.722 | − | 642.782i | −0.299918 | − | 0.672366i | ||||
\(957\) | −0.395604 | + | 1.47641i | −0.000413379 | + | 0.00154275i | ||||
\(958\) | −1053.26 | + | 537.125i | −1.09944 | + | 0.560673i | ||||
\(959\) | −201.997 | − | 129.029i | −0.210633 | − | 0.134545i | ||||
\(960\) | −518.385 | − | 167.237i | −0.539984 | − | 0.174205i | ||||
\(961\) | −438.927 | − | 760.244i | −0.456740 | − | 0.791097i | ||||
\(962\) | 8.18191 | − | 157.168i | 0.00850510 | − | 0.163376i | ||||
\(963\) | 55.8262 | + | 208.346i | 0.0579711 | + | 0.216351i | ||||
\(964\) | 28.7719 | − | 275.593i | 0.0298464 | − | 0.285885i | ||||
\(965\) | −579.786 | + | 579.786i | −0.600815 | + | 0.600815i | ||||
\(966\) | −102.606 | − | 616.392i | −0.106217 | − | 0.638087i | ||||
\(967\) | − | 377.448i | − | 0.390329i | −0.980771 | − | 0.195165i | \(-0.937476\pi\) | ||
0.980771 | − | 0.195165i | \(-0.0625241\pi\) | |||||||
\(968\) | −901.638 | + | 347.188i | −0.931444 | + | 0.358665i | ||||
\(969\) | −89.8637 | + | 155.648i | −0.0927385 | + | 0.160628i | ||||
\(970\) | −1016.88 | − | 1128.56i | −1.04833 | − | 1.16347i | ||||
\(971\) | −326.613 | − | 87.5158i | −0.336368 | − | 0.0901295i | 0.0866816 | − | 0.996236i | \(-0.472374\pi\) |
−0.423050 | + | 0.906107i | \(0.639040\pi\) | |||||||
\(972\) | 61.5793 | − | 9.79719i | 0.0633532 | − | 0.0100794i | ||||
\(973\) | −179.108 | + | 163.726i | −0.184078 | + | 0.168269i | ||||
\(974\) | −1458.11 | + | 743.585i | −1.49703 | + | 0.763434i | ||||
\(975\) | 6.15370 | + | 10.6585i | 0.00631149 | + | 0.0109318i | ||||
\(976\) | 170.288 | + | 261.422i | 0.174475 | + | 0.267850i | ||||
\(977\) | −61.2092 | + | 106.017i | −0.0626501 | + | 0.108513i | −0.895649 | − | 0.444761i | \(-0.853289\pi\) |
0.832999 | + | 0.553274i | \(0.186622\pi\) | |||||||
\(978\) | −473.264 | + | 729.319i | −0.483910 | + | 0.745725i | ||||
\(979\) | 2.39059 | + | 2.39059i | 0.00244187 | + | 0.00244187i | ||||
\(980\) | −65.5361 | − | 960.859i | −0.0668736 | − | 0.980469i | ||||
\(981\) | 288.004 | + | 288.004i | 0.293582 | + | 0.293582i | ||||
\(982\) | −437.957 | + | 93.2501i | −0.445985 | + | 0.0949593i | ||||
\(983\) | −692.928 | + | 1200.19i | −0.704911 | + | 1.22094i | 0.261812 | + | 0.965119i | \(0.415680\pi\) |
−0.966723 | + | 0.255824i | \(0.917653\pi\) | |||||||
\(984\) | 504.338 | − | 53.5410i | 0.512539 | − | 0.0544115i | ||||
\(985\) | −41.5705 | − | 72.0023i | −0.0422036 | − | 0.0730987i | ||||
\(986\) | −4.53573 | + | 13.9761i | −0.00460014 | + | 0.0141746i | ||||
\(987\) | −306.228 | + | 279.929i | −0.310262 | + | 0.283616i | ||||
\(988\) | 701.563 | + | 508.969i | 0.710084 | + | 0.515151i | ||||
\(989\) | 1566.20 | + | 419.662i | 1.58362 | + | 0.424330i | ||||
\(990\) | 0.732521 | − | 14.0711i | 0.000739920 | − | 0.0142132i | ||||
\(991\) | −719.460 | + | 1246.14i | −0.725993 | + | 1.25746i | 0.232570 | + | 0.972580i | \(0.425286\pi\) |
−0.958564 | + | 0.284878i | \(0.908047\pi\) | |||||||
\(992\) | −75.0298 | + | 281.979i | −0.0756349 | + | 0.284253i | ||||
\(993\) | − | 642.609i | − | 0.647139i | ||||||
\(994\) | −417.880 | − | 298.611i | −0.420402 | − | 0.300413i | ||||
\(995\) | 432.526 | − | 432.526i | 0.434700 | − | 0.434700i | ||||
\(996\) | 1.92252 | − | 18.4150i | 0.00193024 | − | 0.0184889i | ||||
\(997\) | 245.467 | + | 916.097i | 0.246206 | + | 0.918853i | 0.972773 | + | 0.231758i | \(0.0744478\pi\) |
−0.726568 | + | 0.687095i | \(0.758886\pi\) | |||||||
\(998\) | −379.808 | + | 342.221i | −0.380569 | + | 0.342906i | ||||
\(999\) | −24.6062 | − | 42.6193i | −0.0246309 | − | 0.0426619i |
(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.325.20 | yes | 256 | |
7.5 | odd | 6 | inner | 336.3.bv.a.229.64 | yes | 256 | |
16.13 | even | 4 | inner | 336.3.bv.a.157.64 | yes | 256 | |
112.61 | odd | 12 | inner | 336.3.bv.a.61.20 | ✓ | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.3.bv.a.61.20 | ✓ | 256 | 112.61 | odd | 12 | inner | |
336.3.bv.a.157.64 | yes | 256 | 16.13 | even | 4 | inner | |
336.3.bv.a.229.64 | yes | 256 | 7.5 | odd | 6 | inner | |
336.3.bv.a.325.20 | yes | 256 | 1.1 | even | 1 | trivial |