Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(14,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.k (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 14.9 | ||
Character | \(\chi\) | \(=\) | 201.14 |
Dual form | 201.3.k.a.158.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.54256 | + | 1.16115i | −1.27128 | + | 0.580575i | −0.932799 | − | 0.360398i | \(-0.882641\pi\) |
−0.338483 | + | 0.940973i | \(0.609914\pi\) | |||||||
\(3\) | 2.76891 | + | 1.15463i | 0.922969 | + | 0.384875i | ||||
\(4\) | 2.49692 | − | 2.88159i | 0.624229 | − | 0.720398i | ||||
\(5\) | −7.65897 | + | 1.10119i | −1.53179 | + | 0.220239i | −0.856048 | − | 0.516897i | \(-0.827087\pi\) |
−0.675745 | + | 0.737135i | \(0.736178\pi\) | |||||||
\(6\) | −8.38081 | + | 0.279405i | −1.39680 | + | 0.0465675i | ||||
\(7\) | −3.95633 | − | 8.66315i | −0.565190 | − | 1.23759i | −0.949319 | − | 0.314314i | \(-0.898225\pi\) |
0.384129 | − | 0.923279i | \(-0.374502\pi\) | |||||||
\(8\) | 0.147343 | − | 0.501803i | 0.0184178 | − | 0.0627254i | ||||
\(9\) | 6.33368 | + | 6.39410i | 0.703742 | + | 0.710456i | ||||
\(10\) | 18.1948 | − | 11.6931i | 1.81948 | − | 1.16931i | ||||
\(11\) | 19.9062 | − | 2.86208i | 1.80966 | − | 0.260189i | 0.847132 | − | 0.531383i | \(-0.178327\pi\) |
0.962525 | + | 0.271193i | \(0.0874183\pi\) | |||||||
\(12\) | 10.2409 | − | 5.09586i | 0.853407 | − | 0.424655i | ||||
\(13\) | −2.32754 | + | 0.683427i | −0.179041 | + | 0.0525713i | −0.370024 | − | 0.929022i | \(-0.620651\pi\) |
0.190983 | + | 0.981593i | \(0.438832\pi\) | |||||||
\(14\) | 20.1184 | + | 17.4327i | 1.43703 | + | 1.24519i | ||||
\(15\) | −22.4784 | − | 5.79414i | −1.49856 | − | 0.386276i | ||||
\(16\) | 2.37857 | + | 16.5433i | 0.148660 | + | 1.03396i | ||||
\(17\) | 9.28344 | − | 8.04414i | 0.546085 | − | 0.473185i | −0.337586 | − | 0.941295i | \(-0.609610\pi\) |
0.883670 | + | 0.468110i | \(0.155065\pi\) | |||||||
\(18\) | −23.5283 | − | 8.90305i | −1.30713 | − | 0.494614i | ||||
\(19\) | 8.22218 | − | 18.0041i | 0.432746 | − | 0.947582i | −0.560127 | − | 0.828407i | \(-0.689248\pi\) |
0.992873 | − | 0.119175i | \(-0.0380250\pi\) | |||||||
\(20\) | −15.9506 | + | 24.8196i | −0.797530 | + | 1.24098i | ||||
\(21\) | −0.952004 | − | 28.5555i | −0.0453335 | − | 1.35979i | ||||
\(22\) | −47.2895 | + | 30.3911i | −2.14952 | + | 1.38142i | ||||
\(23\) | −13.1062 | + | 20.3937i | −0.569835 | + | 0.886681i | −0.999870 | − | 0.0161317i | \(-0.994865\pi\) |
0.430035 | + | 0.902812i | \(0.358501\pi\) | |||||||
\(24\) | 0.987373 | − | 1.21932i | 0.0411405 | − | 0.0508050i | ||||
\(25\) | 33.4598 | − | 9.82468i | 1.33839 | − | 0.392987i | ||||
\(26\) | 5.12435 | − | 4.44028i | 0.197090 | − | 0.170780i | ||||
\(27\) | 10.1546 | + | 25.0177i | 0.376095 | + | 0.926581i | ||||
\(28\) | −34.8423 | − | 10.2306i | −1.24437 | − | 0.365379i | ||||
\(29\) | − | 18.9358i | − | 0.652958i | −0.945204 | − | 0.326479i | \(-0.894138\pi\) | ||
0.945204 | − | 0.326479i | \(-0.105862\pi\) | |||||||
\(30\) | 63.8807 | − | 11.3688i | 2.12936 | − | 0.378961i | ||||
\(31\) | 9.31668 | + | 2.73562i | 0.300538 | + | 0.0882460i | 0.428525 | − | 0.903530i | \(-0.359033\pi\) |
−0.127987 | + | 0.991776i | \(0.540852\pi\) | |||||||
\(32\) | −24.1259 | − | 37.5406i | −0.753934 | − | 1.17314i | ||||
\(33\) | 58.4231 | + | 15.0594i | 1.77040 | + | 0.456345i | ||||
\(34\) | −14.2633 | + | 31.2322i | −0.419508 | + | 0.918594i | ||||
\(35\) | 39.8412 | + | 61.9941i | 1.13832 | + | 1.77126i | ||||
\(36\) | 34.2399 | − | 2.28556i | 0.951107 | − | 0.0634879i | ||||
\(37\) | 47.8005 | 1.29191 | 0.645953 | − | 0.763377i | \(-0.276460\pi\) | ||||
0.645953 | + | 0.763377i | \(0.276460\pi\) | |||||||
\(38\) | 55.3236i | 1.45588i | ||||||||
\(39\) | −7.23384 | − | 0.795091i | −0.185483 | − | 0.0203869i | ||||
\(40\) | −0.575910 | + | 4.00555i | −0.0143978 | + | 0.100139i | ||||
\(41\) | 47.9701 | − | 41.5664i | 1.17000 | − | 1.01381i | 0.170408 | − | 0.985374i | \(-0.445492\pi\) |
0.999596 | − | 0.0284400i | \(-0.00905395\pi\) | |||||||
\(42\) | 35.5778 | + | 71.4988i | 0.847090 | + | 1.70235i | ||||
\(43\) | −49.6368 | − | 57.2839i | −1.15434 | − | 1.33218i | −0.934214 | − | 0.356713i | \(-0.883897\pi\) |
−0.220130 | − | 0.975471i | \(-0.570648\pi\) | |||||||
\(44\) | 41.4568 | − | 64.5080i | 0.942200 | − | 1.46609i | ||||
\(45\) | −55.5506 | − | 41.9976i | −1.23446 | − | 0.933280i | ||||
\(46\) | 9.64327 | − | 67.0704i | 0.209636 | − | 1.45805i | ||||
\(47\) | 16.7965 | − | 26.1359i | 0.357373 | − | 0.556083i | −0.615291 | − | 0.788300i | \(-0.710962\pi\) |
0.972664 | + | 0.232217i | \(0.0745980\pi\) | |||||||
\(48\) | −12.5153 | + | 48.5532i | −0.260735 | + | 1.01152i | ||||
\(49\) | −27.3095 | + | 31.5169i | −0.557337 | + | 0.643201i | ||||
\(50\) | −73.6657 | + | 63.8317i | −1.47331 | + | 1.27663i | ||||
\(51\) | 34.9929 | − | 11.5546i | 0.686136 | − | 0.226560i | ||||
\(52\) | −3.84231 | + | 8.41348i | −0.0738905 | + | 0.161798i | ||||
\(53\) | −13.8708 | − | 12.0191i | −0.261713 | − | 0.226775i | 0.514113 | − | 0.857722i | \(-0.328121\pi\) |
−0.775826 | + | 0.630947i | \(0.782667\pi\) | |||||||
\(54\) | −54.8679 | − | 51.8181i | −1.01607 | − | 0.959594i | ||||
\(55\) | −149.309 | + | 43.8412i | −2.71472 | + | 0.797112i | ||||
\(56\) | −4.93013 | + | 0.708846i | −0.0880381 | + | 0.0126580i | ||||
\(57\) | 43.5544 | − | 40.3580i | 0.764112 | − | 0.708035i | ||||
\(58\) | 21.9873 | + | 48.1454i | 0.379091 | + | 0.830094i | ||||
\(59\) | −9.08244 | + | 30.9319i | −0.153940 | + | 0.524270i | −0.999961 | − | 0.00887943i | \(-0.997174\pi\) |
0.846021 | + | 0.533150i | \(0.178992\pi\) | |||||||
\(60\) | −72.8231 | + | 50.3062i | −1.21372 | + | 0.838437i | ||||
\(61\) | 11.2058 | − | 77.9380i | 0.183701 | − | 1.27767i | −0.664215 | − | 0.747542i | \(-0.731234\pi\) |
0.847916 | − | 0.530130i | \(-0.177857\pi\) | |||||||
\(62\) | −26.8647 | + | 3.86256i | −0.433302 | + | 0.0622994i | ||||
\(63\) | 30.3350 | − | 80.1668i | 0.481507 | − | 1.27249i | ||||
\(64\) | 48.6910 | + | 31.2918i | 0.760798 | + | 0.488935i | ||||
\(65\) | 17.0739 | − | 7.79741i | 0.262676 | − | 0.119960i | ||||
\(66\) | −166.031 | + | 29.5485i | −2.51562 | + | 0.447704i | ||||
\(67\) | 58.6122 | + | 32.4594i | 0.874809 | + | 0.484469i | ||||
\(68\) | − | 46.8366i | − | 0.688774i | ||||||
\(69\) | −59.8369 | + | 41.3353i | −0.867201 | + | 0.599063i | ||||
\(70\) | −173.283 | − | 111.362i | −2.47547 | − | 1.59089i | ||||
\(71\) | −4.33025 | − | 3.75218i | −0.0609895 | − | 0.0528477i | 0.623833 | − | 0.781558i | \(-0.285575\pi\) |
−0.684822 | + | 0.728710i | \(0.740120\pi\) | |||||||
\(72\) | 4.14180 | − | 2.23614i | 0.0575250 | − | 0.0310574i | ||||
\(73\) | 0.159107 | − | 1.10662i | 0.00217955 | − | 0.0151591i | −0.988703 | − | 0.149890i | \(-0.952108\pi\) |
0.990882 | + | 0.134731i | \(0.0430171\pi\) | |||||||
\(74\) | −121.536 | + | 55.5036i | −1.64238 | + | 0.750048i | ||||
\(75\) | 103.991 | + | 11.4299i | 1.38654 | + | 0.152399i | ||||
\(76\) | −31.3503 | − | 68.6476i | −0.412504 | − | 0.903257i | ||||
\(77\) | −103.550 | − | 161.127i | −1.34481 | − | 2.09256i | ||||
\(78\) | 19.3157 | − | 6.37800i | 0.247637 | − | 0.0817692i | ||||
\(79\) | 66.5092 | − | 19.5289i | 0.841889 | − | 0.247201i | 0.167772 | − | 0.985826i | \(-0.446343\pi\) |
0.674116 | + | 0.738625i | \(0.264525\pi\) | |||||||
\(80\) | −36.4347 | − | 124.085i | −0.455434 | − | 1.55107i | ||||
\(81\) | −0.769028 | + | 80.9963i | −0.00949417 | + | 0.999955i | ||||
\(82\) | −73.7023 | + | 161.386i | −0.898809 | + | 1.96812i | ||||
\(83\) | −63.5054 | + | 9.13070i | −0.765126 | + | 0.110008i | −0.513819 | − | 0.857899i | \(-0.671770\pi\) |
−0.251307 | + | 0.967907i | \(0.580860\pi\) | |||||||
\(84\) | −84.6625 | − | 68.5575i | −1.00789 | − | 0.816160i | ||||
\(85\) | −62.2434 | + | 71.8327i | −0.732275 | + | 0.845090i | ||||
\(86\) | 192.720 | + | 88.0122i | 2.24093 | + | 1.02340i | ||||
\(87\) | 21.8638 | − | 52.4314i | 0.251308 | − | 0.602660i | ||||
\(88\) | 1.49683 | − | 10.4107i | 0.0170095 | − | 0.118304i | ||||
\(89\) | 5.44998 | + | 8.48033i | 0.0612357 | + | 0.0952846i | 0.870521 | − | 0.492131i | \(-0.163782\pi\) |
−0.809286 | + | 0.587415i | \(0.800145\pi\) | |||||||
\(90\) | 190.006 | + | 42.2790i | 2.11118 | + | 0.469767i | ||||
\(91\) | 15.1291 | + | 17.4600i | 0.166254 | + | 0.191868i | ||||
\(92\) | 26.0411 | + | 88.6880i | 0.283056 | + | 0.964000i | ||||
\(93\) | 22.6384 | + | 18.3320i | 0.243424 | + | 0.197118i | ||||
\(94\) | −12.3585 | + | 85.9554i | −0.131474 | + | 0.914419i | ||||
\(95\) | −43.1474 | + | 146.947i | −0.454183 | + | 1.54681i | ||||
\(96\) | −23.4570 | − | 131.803i | −0.244343 | − | 1.37295i | ||||
\(97\) | −49.5406 | −0.510727 | −0.255364 | − | 0.966845i | \(-0.582195\pi\) | ||||
−0.255364 | + | 0.966845i | \(0.582195\pi\) | |||||||
\(98\) | 32.8404 | − | 111.844i | 0.335106 | − | 1.14127i | ||||
\(99\) | 144.380 | + | 109.155i | 1.45838 | + | 1.10257i | ||||
\(100\) | 55.2355 | − | 120.949i | 0.552355 | − | 1.20949i | ||||
\(101\) | 72.7239 | + | 33.2119i | 0.720039 | + | 0.328831i | 0.741513 | − | 0.670939i | \(-0.234109\pi\) |
−0.0214741 | + | 0.999769i | \(0.506836\pi\) | |||||||
\(102\) | −75.5551 | + | 70.0103i | −0.740737 | + | 0.686375i | ||||
\(103\) | −18.9161 | − | 5.55426i | −0.183651 | − | 0.0539248i | 0.188614 | − | 0.982051i | \(-0.439601\pi\) |
−0.372265 | + | 0.928127i | \(0.621419\pi\) | |||||||
\(104\) | 1.26866i | 0.0121987i | ||||||||
\(105\) | 38.7365 | + | 217.658i | 0.368919 | + | 2.07293i | ||||
\(106\) | 49.2233 | + | 14.4533i | 0.464371 | + | 0.136351i | ||||
\(107\) | −124.801 | − | 17.9437i | −1.16636 | − | 0.167698i | −0.468191 | − | 0.883627i | \(-0.655094\pi\) |
−0.698173 | + | 0.715929i | \(0.746003\pi\) | |||||||
\(108\) | 97.4459 | + | 33.2057i | 0.902277 | + | 0.307460i | ||||
\(109\) | −183.575 | + | 53.9025i | −1.68418 | + | 0.494519i | −0.977129 | − | 0.212648i | \(-0.931791\pi\) |
−0.707047 | + | 0.707167i | \(0.749973\pi\) | |||||||
\(110\) | 328.722 | − | 284.839i | 2.98838 | − | 2.58945i | ||||
\(111\) | 132.355 | + | 55.1917i | 1.19239 | + | 0.497223i | ||||
\(112\) | 133.907 | − | 86.0566i | 1.19560 | − | 0.768363i | ||||
\(113\) | −14.5488 | − | 2.09180i | −0.128750 | − | 0.0185115i | 0.0776384 | − | 0.996982i | \(-0.475262\pi\) |
−0.206389 | + | 0.978470i | \(0.566171\pi\) | |||||||
\(114\) | −63.8781 | + | 153.186i | −0.560334 | + | 1.34374i | ||||
\(115\) | 77.9226 | − | 170.627i | 0.677588 | − | 1.48371i | ||||
\(116\) | −54.5653 | − | 47.2811i | −0.470390 | − | 0.407595i | ||||
\(117\) | −19.1118 | − | 10.5539i | −0.163349 | − | 0.0902043i | ||||
\(118\) | −12.8239 | − | 89.1925i | −0.108677 | − | 0.755868i | ||||
\(119\) | −106.416 | − | 48.5986i | −0.894252 | − | 0.408391i | ||||
\(120\) | −6.21955 | + | 10.4260i | −0.0518296 | + | 0.0868835i | ||||
\(121\) | 271.968 | − | 79.8569i | 2.24767 | − | 0.659974i | ||||
\(122\) | 62.0062 | + | 211.174i | 0.508248 | + | 1.73093i | ||||
\(123\) | 180.818 | − | 59.7058i | 1.47007 | − | 0.485413i | ||||
\(124\) | 31.1459 | − | 20.0163i | 0.251177 | − | 0.161422i | ||||
\(125\) | −69.4865 | + | 31.7334i | −0.555892 | + | 0.253867i | ||||
\(126\) | 15.9571 | + | 239.053i | 0.126644 | + | 1.89724i | ||||
\(127\) | −28.7671 | − | 62.9913i | −0.226513 | − | 0.495994i | 0.761917 | − | 0.647675i | \(-0.224259\pi\) |
−0.988429 | + | 0.151681i | \(0.951531\pi\) | |||||||
\(128\) | 16.5471 | + | 2.37912i | 0.129275 | + | 0.0185869i | ||||
\(129\) | −71.2981 | − | 215.926i | −0.552699 | − | 1.67384i | ||||
\(130\) | −34.3576 | + | 39.6508i | −0.264289 | + | 0.305006i | ||||
\(131\) | −45.6342 | + | 71.0082i | −0.348352 | + | 0.542047i | −0.970577 | − | 0.240792i | \(-0.922593\pi\) |
0.622224 | + | 0.782839i | \(0.286229\pi\) | |||||||
\(132\) | 189.273 | − | 130.750i | 1.43388 | − | 0.990527i | ||||
\(133\) | −188.502 | −1.41730 | ||||||||
\(134\) | −186.715 | − | 14.4726i | −1.39340 | − | 0.108004i | ||||
\(135\) | −105.323 | − | 180.427i | −0.780169 | − | 1.33650i | ||||
\(136\) | −2.66873 | − | 5.84370i | −0.0196230 | − | 0.0429684i | ||||
\(137\) | 14.9221 | − | 23.2193i | 0.108921 | − | 0.169484i | −0.782514 | − | 0.622633i | \(-0.786063\pi\) |
0.891435 | + | 0.453149i | \(0.149699\pi\) | |||||||
\(138\) | 104.143 | − | 174.577i | 0.754656 | − | 1.26505i | ||||
\(139\) | 3.96504 | + | 27.5775i | 0.0285255 | + | 0.198399i | 0.999101 | − | 0.0423988i | \(-0.0135000\pi\) |
−0.970575 | + | 0.240798i | \(0.922591\pi\) | |||||||
\(140\) | 278.122 | + | 39.9879i | 1.98659 | + | 0.285628i | ||||
\(141\) | 76.6851 | − | 52.9741i | 0.543866 | − | 0.375703i | ||||
\(142\) | 15.3668 | + | 4.51210i | 0.108217 | + | 0.0317753i | ||||
\(143\) | −44.3765 | + | 20.2661i | −0.310325 | + | 0.141721i | ||||
\(144\) | −90.7144 | + | 119.989i | −0.629961 | + | 0.833255i | ||||
\(145\) | 20.8520 | + | 145.029i | 0.143807 | + | 1.00020i | ||||
\(146\) | 0.880407 | + | 2.99839i | 0.00603018 | + | 0.0205369i | ||||
\(147\) | −112.008 | + | 55.7350i | −0.761957 | + | 0.379149i | ||||
\(148\) | 119.354 | − | 137.742i | 0.806445 | − | 0.930688i | ||||
\(149\) | −108.875 | − | 49.7214i | −0.730702 | − | 0.333700i | 0.0150837 | − | 0.999886i | \(-0.495199\pi\) |
−0.745786 | + | 0.666186i | \(0.767926\pi\) | |||||||
\(150\) | −277.675 | + | 91.6876i | −1.85117 | + | 0.611251i | ||||
\(151\) | 178.014 | + | 205.439i | 1.17890 | + | 1.36052i | 0.918695 | + | 0.394968i | \(0.129244\pi\) |
0.260204 | + | 0.965554i | \(0.416210\pi\) | |||||||
\(152\) | −7.82301 | − | 6.77868i | −0.0514672 | − | 0.0445966i | ||||
\(153\) | 110.233 | + | 8.41020i | 0.720480 | + | 0.0549686i | ||||
\(154\) | 450.376 | + | 289.439i | 2.92452 | + | 1.87947i | ||||
\(155\) | −74.3686 | − | 10.6926i | −0.479797 | − | 0.0689844i | ||||
\(156\) | −20.3534 | + | 18.8597i | −0.130471 | + | 0.120896i | ||||
\(157\) | 117.926 | + | 75.7863i | 0.751120 | + | 0.482715i | 0.859336 | − | 0.511412i | \(-0.170877\pi\) |
−0.108216 | + | 0.994127i | \(0.534514\pi\) | |||||||
\(158\) | −146.428 | + | 126.880i | −0.926759 | + | 0.803041i | ||||
\(159\) | −24.5293 | − | 49.2953i | −0.154272 | − | 0.310033i | ||||
\(160\) | 226.119 | + | 260.955i | 1.41324 | + | 1.63097i | ||||
\(161\) | 228.526 | + | 32.8571i | 1.41942 | + | 0.204081i | ||||
\(162\) | −92.0936 | − | 206.831i | −0.568479 | − | 1.27674i | ||||
\(163\) | 8.64772 | 0.0530535 | 0.0265267 | − | 0.999648i | \(-0.491555\pi\) | ||||
0.0265267 | + | 0.999648i | \(0.491555\pi\) | |||||||
\(164\) | − | 242.018i | − | 1.47572i | ||||||
\(165\) | −464.044 | − | 51.0043i | −2.81239 | − | 0.309117i | ||||
\(166\) | 150.864 | − | 96.9547i | 0.908822 | − | 0.584064i | ||||
\(167\) | −207.622 | − | 94.8177i | −1.24324 | − | 0.567770i | −0.318342 | − | 0.947976i | \(-0.603126\pi\) |
−0.924902 | + | 0.380206i | \(0.875853\pi\) | |||||||
\(168\) | −14.4695 | − | 3.72973i | −0.0861282 | − | 0.0222008i | ||||
\(169\) | −137.221 | + | 88.1869i | −0.811961 | + | 0.521816i | ||||
\(170\) | 74.8492 | − | 254.913i | 0.440289 | − | 1.49949i | ||||
\(171\) | 167.196 | − | 61.4585i | 0.977756 | − | 0.359406i | ||||
\(172\) | −289.008 | −1.68028 | ||||||||
\(173\) | −42.1707 | + | 143.620i | −0.243761 | + | 0.830175i | 0.743179 | + | 0.669092i | \(0.233317\pi\) |
−0.986941 | + | 0.161083i | \(0.948501\pi\) | |||||||
\(174\) | 5.29076 | + | 158.697i | 0.0304067 | + | 0.912053i | ||||
\(175\) | −217.491 | − | 250.998i | −1.24280 | − | 1.43427i | ||||
\(176\) | 94.6966 | + | 322.507i | 0.538049 | + | 1.83243i | ||||
\(177\) | −60.8632 | + | 75.1608i | −0.343860 | + | 0.424637i | ||||
\(178\) | −23.7038 | − | 15.2335i | −0.133168 | − | 0.0855816i | ||||
\(179\) | 126.621 | + | 197.026i | 0.707378 | + | 1.10070i | 0.989945 | + | 0.141455i | \(0.0451779\pi\) |
−0.282566 | + | 0.959248i | \(0.591186\pi\) | |||||||
\(180\) | −259.725 | + | 55.2097i | −1.44292 | + | 0.306721i | ||||
\(181\) | 158.455 | + | 101.833i | 0.875439 | + | 0.562611i | 0.899412 | − | 0.437102i | \(-0.143995\pi\) |
−0.0239727 | + | 0.999713i | \(0.507631\pi\) | |||||||
\(182\) | −58.7404 | − | 26.8259i | −0.322750 | − | 0.147395i | ||||
\(183\) | 121.017 | − | 202.864i | 0.661295 | − | 1.10855i | ||||
\(184\) | 8.30250 | + | 9.58159i | 0.0451223 | + | 0.0520739i | ||||
\(185\) | −366.103 | + | 52.6376i | −1.97893 | + | 0.284528i | ||||
\(186\) | −78.8457 | − | 20.3236i | −0.423902 | − | 0.109267i | ||||
\(187\) | 161.775 | − | 186.698i | 0.865108 | − | 0.998388i | ||||
\(188\) | −33.3735 | − | 113.660i | −0.177519 | − | 0.604573i | ||||
\(189\) | 176.557 | − | 186.949i | 0.934166 | − | 0.989147i | ||||
\(190\) | −60.9220 | − | 423.722i | −0.320642 | − | 2.23011i | ||||
\(191\) | −15.4572 | − | 24.0519i | −0.0809279 | − | 0.125926i | 0.798430 | − | 0.602088i | \(-0.205664\pi\) |
−0.879358 | + | 0.476161i | \(0.842028\pi\) | |||||||
\(192\) | 98.6906 | + | 142.864i | 0.514013 | + | 0.744084i | ||||
\(193\) | 76.1163 | + | 22.3498i | 0.394385 | + | 0.115802i | 0.472911 | − | 0.881110i | \(-0.343203\pi\) |
−0.0785260 | + | 0.996912i | \(0.525021\pi\) | |||||||
\(194\) | 125.960 | − | 57.5240i | 0.649278 | − | 0.296515i | ||||
\(195\) | 56.2792 | − | 1.87628i | 0.288612 | − | 0.00962193i | ||||
\(196\) | 22.6293 | + | 157.390i | 0.115455 | + | 0.803010i | ||||
\(197\) | 107.327 | + | 92.9997i | 0.544809 | + | 0.472080i | 0.883246 | − | 0.468909i | \(-0.155353\pi\) |
−0.338437 | + | 0.940989i | \(0.609898\pi\) | |||||||
\(198\) | −493.841 | − | 109.886i | −2.49414 | − | 0.554981i | ||||
\(199\) | −69.3329 | − | 151.818i | −0.348407 | − | 0.762904i | −0.999991 | − | 0.00432782i | \(-0.998622\pi\) |
0.651584 | − | 0.758577i | \(-0.274105\pi\) | |||||||
\(200\) | − | 18.2378i | − | 0.0911891i | ||||||
\(201\) | 124.813 | + | 157.552i | 0.620961 | + | 0.783842i | ||||
\(202\) | −223.469 | −1.10628 | ||||||||
\(203\) | −164.044 | + | 74.9163i | −0.808097 | + | 0.369046i | ||||
\(204\) | 54.0788 | − | 129.686i | 0.265092 | − | 0.635717i | ||||
\(205\) | −321.629 | + | 371.180i | −1.56892 | + | 1.81063i | ||||
\(206\) | 54.5446 | − | 7.84233i | 0.264780 | − | 0.0380696i | ||||
\(207\) | −213.410 | + | 45.3645i | −1.03096 | + | 0.219152i | ||||
\(208\) | −16.8423 | − | 36.8796i | −0.0809728 | − | 0.177306i | ||||
\(209\) | 112.143 | − | 381.925i | 0.536571 | − | 1.82739i | ||||
\(210\) | −351.223 | − | 508.429i | −1.67249 | − | 2.42109i | ||||
\(211\) | −282.476 | + | 181.536i | −1.33875 | + | 0.860361i | −0.996845 | − | 0.0793737i | \(-0.974708\pi\) |
−0.341904 | + | 0.939735i | \(0.611072\pi\) | |||||||
\(212\) | −69.2683 | + | 9.95928i | −0.326737 | + | 0.0469777i | ||||
\(213\) | −7.65769 | − | 15.3893i | −0.0359516 | − | 0.0722501i | ||||
\(214\) | 338.149 | − | 99.2896i | 1.58014 | − | 0.463970i | ||||
\(215\) | 443.247 | + | 384.076i | 2.06161 | + | 1.78640i | ||||
\(216\) | 14.0502 | − | 1.40942i | 0.0650470 | − | 0.00652509i | ||||
\(217\) | −13.1607 | − | 91.5349i | −0.0606485 | − | 0.421820i | ||||
\(218\) | 404.163 | − | 350.209i | 1.85396 | − | 1.60646i | ||||
\(219\) | 1.71828 | − | 2.88041i | 0.00784604 | − | 0.0131525i | ||||
\(220\) | −246.480 | + | 539.717i | −1.12037 | + | 2.45326i | ||||
\(221\) | −16.1100 | + | 25.0676i | −0.0728958 | + | 0.113428i | ||||
\(222\) | −400.607 | + | 13.3557i | −1.80454 | + | 0.0601609i | ||||
\(223\) | 149.838 | − | 96.2948i | 0.671917 | − | 0.431815i | −0.159699 | − | 0.987166i | \(-0.551052\pi\) |
0.831616 | + | 0.555351i | \(0.187416\pi\) | |||||||
\(224\) | −229.770 | + | 357.530i | −1.02576 | + | 1.59611i | ||||
\(225\) | 274.744 | + | 151.719i | 1.22108 | + | 0.674306i | ||||
\(226\) | 39.4201 | − | 11.5748i | 0.174425 | − | 0.0512159i | ||||
\(227\) | 295.070 | − | 255.680i | 1.29987 | − | 1.12634i | 0.315747 | − | 0.948844i | \(-0.397745\pi\) |
0.984121 | − | 0.177498i | \(-0.0568004\pi\) | |||||||
\(228\) | −7.54376 | − | 226.276i | −0.0330867 | − | 0.992441i | ||||
\(229\) | 147.041 | + | 43.1751i | 0.642099 | + | 0.188537i | 0.586543 | − | 0.809918i | \(-0.300489\pi\) |
0.0555565 | + | 0.998456i | \(0.482307\pi\) | |||||||
\(230\) | 524.309i | 2.27960i | ||||||||
\(231\) | −100.679 | − | 565.708i | −0.435840 | − | 2.44895i | ||||
\(232\) | −9.50204 | − | 2.79005i | −0.0409571 | − | 0.0120261i | ||||
\(233\) | 90.6990 | + | 141.130i | 0.389266 | + | 0.605710i | 0.979481 | − | 0.201536i | \(-0.0645934\pi\) |
−0.590215 | + | 0.807246i | \(0.700957\pi\) | |||||||
\(234\) | 60.8476 | + | 4.64233i | 0.260032 | + | 0.0198390i | ||||
\(235\) | −99.8632 | + | 218.670i | −0.424950 | + | 0.930511i | ||||
\(236\) | 66.4552 | + | 103.406i | 0.281590 | + | 0.438162i | ||||
\(237\) | 206.706 | + | 22.7197i | 0.872178 | + | 0.0958635i | ||||
\(238\) | 327.000 | 1.37395 | ||||||||
\(239\) | 51.7653i | 0.216591i | 0.994119 | + | 0.108296i | \(0.0345393\pi\) | ||||
−0.994119 | + | 0.108296i | \(0.965461\pi\) | |||||||
\(240\) | 42.3877 | − | 385.649i | 0.176616 | − | 1.60687i | ||||
\(241\) | 45.9685 | − | 319.718i | 0.190741 | − | 1.32663i | −0.639312 | − | 0.768947i | \(-0.720781\pi\) |
0.830053 | − | 0.557684i | \(-0.188310\pi\) | |||||||
\(242\) | −598.769 | + | 518.836i | −2.47425 | + | 2.14395i | ||||
\(243\) | −95.6498 | + | 223.383i | −0.393621 | + | 0.919273i | ||||
\(244\) | −196.606 | − | 226.895i | −0.805761 | − | 0.929897i | ||||
\(245\) | 174.457 | − | 271.460i | 0.712067 | − | 1.10800i | ||||
\(246\) | −390.415 | + | 361.763i | −1.58705 | + | 1.47058i | ||||
\(247\) | −6.83297 | + | 47.5244i | −0.0276639 | + | 0.192406i | ||||
\(248\) | 2.74549 | − | 4.27207i | 0.0110705 | − | 0.0172261i | ||||
\(249\) | −186.383 | − | 48.0430i | −0.748527 | − | 0.192944i | ||||
\(250\) | 139.827 | − | 161.368i | 0.559306 | − | 0.645474i | ||||
\(251\) | 337.935 | − | 292.823i | 1.34636 | − | 1.16662i | 0.375537 | − | 0.926807i | \(-0.377458\pi\) |
0.970818 | − | 0.239816i | \(-0.0770873\pi\) | |||||||
\(252\) | −155.264 | − | 287.583i | −0.616128 | − | 1.14120i | ||||
\(253\) | −202.527 | + | 443.472i | −0.800501 | + | 1.75285i | ||||
\(254\) | 146.285 | + | 126.756i | 0.575923 | + | 0.499040i | ||||
\(255\) | −255.286 | + | 127.030i | −1.00112 | + | 0.498157i | ||||
\(256\) | −266.973 | + | 78.3904i | −1.04286 | + | 0.306213i | ||||
\(257\) | −103.476 | + | 14.8776i | −0.402631 | + | 0.0578896i | −0.340656 | − | 0.940188i | \(-0.610649\pi\) |
−0.0619753 | + | 0.998078i | \(0.519740\pi\) | |||||||
\(258\) | 432.002 | + | 466.217i | 1.67443 | + | 1.80704i | ||||
\(259\) | −189.115 | − | 414.104i | −0.730173 | − | 1.59886i | ||||
\(260\) | 20.1632 | − | 68.6697i | 0.0775509 | − | 0.264114i | ||||
\(261\) | 121.077 | − | 119.933i | 0.463898 | − | 0.459514i | ||||
\(262\) | 33.5767 | − | 233.531i | 0.128155 | − | 0.891339i | ||||
\(263\) | −197.138 | + | 28.3441i | −0.749573 | + | 0.107772i | −0.506505 | − | 0.862237i | \(-0.669063\pi\) |
−0.243068 | + | 0.970009i | \(0.578154\pi\) | |||||||
\(264\) | 16.1651 | − | 27.0980i | 0.0612313 | − | 0.102644i | ||||
\(265\) | 119.471 | + | 76.7794i | 0.450834 | + | 0.289734i | ||||
\(266\) | 479.277 | − | 218.878i | 1.80179 | − | 0.822851i | ||||
\(267\) | 5.29887 | + | 29.7739i | 0.0198459 | + | 0.111513i | ||||
\(268\) | 239.884 | − | 87.8481i | 0.895091 | − | 0.327791i | ||||
\(269\) | 207.131i | 0.770004i | 0.922916 | + | 0.385002i | \(0.125799\pi\) | ||||
−0.922916 | + | 0.385002i | \(0.874201\pi\) | |||||||
\(270\) | 477.293 | + | 336.453i | 1.76775 | + | 1.24612i | ||||
\(271\) | −248.762 | − | 159.869i | −0.917940 | − | 0.589924i | −0.00588078 | − | 0.999983i | \(-0.501872\pi\) |
−0.912059 | + | 0.410058i | \(0.865508\pi\) | |||||||
\(272\) | 155.158 | + | 134.445i | 0.570433 | + | 0.494283i | ||||
\(273\) | 21.7314 | + | 65.8135i | 0.0796024 | + | 0.241075i | ||||
\(274\) | −10.9794 | + | 76.3633i | −0.0400707 | + | 0.278698i | ||||
\(275\) | 637.939 | − | 291.337i | 2.31978 | − | 1.05941i | ||||
\(276\) | −30.2960 | + | 275.636i | −0.109768 | + | 0.998683i | ||||
\(277\) | 135.225 | + | 296.101i | 0.488177 | + | 1.06896i | 0.980134 | + | 0.198339i | \(0.0635545\pi\) |
−0.491957 | + | 0.870620i | \(0.663718\pi\) | |||||||
\(278\) | −42.1029 | − | 65.5134i | −0.151449 | − | 0.235660i | ||||
\(279\) | 41.5170 | + | 76.8984i | 0.148806 | + | 0.275621i | ||||
\(280\) | 36.9792 | − | 10.8581i | 0.132068 | − | 0.0387788i | ||||
\(281\) | −61.8224 | − | 210.548i | −0.220009 | − | 0.749280i | −0.993334 | − | 0.115271i | \(-0.963226\pi\) |
0.773326 | − | 0.634009i | \(-0.218592\pi\) | |||||||
\(282\) | −133.466 | + | 223.733i | −0.473283 | + | 0.793379i | ||||
\(283\) | −117.615 | + | 257.542i | −0.415602 | + | 0.910042i | 0.579845 | + | 0.814727i | \(0.303113\pi\) |
−0.995447 | + | 0.0953152i | \(0.969614\pi\) | |||||||
\(284\) | −21.6245 | + | 3.10914i | −0.0761428 | + | 0.0109477i | ||||
\(285\) | −289.139 | + | 357.062i | −1.01452 | + | 1.25285i | ||||
\(286\) | 89.2981 | − | 103.055i | 0.312231 | − | 0.360334i | ||||
\(287\) | −549.881 | − | 251.122i | −1.91596 | − | 0.874991i | ||||
\(288\) | 87.2329 | − | 392.034i | 0.302892 | − | 1.36123i | ||||
\(289\) | −19.6550 | + | 136.704i | −0.0680105 | + | 0.473024i | ||||
\(290\) | −221.417 | − | 344.532i | −0.763508 | − | 1.18804i | ||||
\(291\) | −137.173 | − | 57.2008i | −0.471385 | − | 0.196566i | ||||
\(292\) | −2.79154 | − | 3.22161i | −0.00956008 | − | 0.0110329i | ||||
\(293\) | 35.7190 | + | 121.648i | 0.121908 | + | 0.415180i | 0.997721 | − | 0.0674698i | \(-0.0214926\pi\) |
−0.875813 | + | 0.482650i | \(0.839674\pi\) | |||||||
\(294\) | 220.070 | − | 271.767i | 0.748537 | − | 0.924379i | ||||
\(295\) | 35.5000 | − | 246.908i | 0.120339 | − | 0.836977i | ||||
\(296\) | 7.04306 | − | 23.9865i | 0.0237941 | − | 0.0810354i | ||||
\(297\) | 273.742 | + | 468.945i | 0.921690 | + | 1.57894i | ||||
\(298\) | 334.555 | 1.12267 | ||||||||
\(299\) | 16.5676 | − | 56.4241i | 0.0554101 | − | 0.188710i | ||||
\(300\) | 292.593 | − | 271.120i | 0.975309 | − | 0.903733i | ||||
\(301\) | −299.880 | + | 656.645i | −0.996278 | + | 2.18155i | ||||
\(302\) | −691.156 | − | 315.640i | −2.28860 | − | 1.04517i | ||||
\(303\) | 163.018 | + | 175.930i | 0.538014 | + | 0.580625i | ||||
\(304\) | 317.403 | + | 93.1980i | 1.04409 | + | 0.306572i | ||||
\(305\) | 609.264i | 1.99759i | ||||||||
\(306\) | −290.041 | + | 106.614i | −0.947846 | + | 0.348412i | ||||
\(307\) | −330.365 | − | 97.0040i | −1.07611 | − | 0.315974i | −0.304788 | − | 0.952420i | \(-0.598586\pi\) |
−0.771321 | + | 0.636446i | \(0.780404\pi\) | |||||||
\(308\) | −722.860 | − | 103.932i | −2.34695 | − | 0.337440i | ||||
\(309\) | −45.9637 | − | 37.2202i | −0.148750 | − | 0.120454i | ||||
\(310\) | 201.503 | − | 59.1665i | 0.650008 | − | 0.190860i | ||||
\(311\) | 215.499 | − | 186.731i | 0.692923 | − | 0.600421i | −0.235532 | − | 0.971867i | \(-0.575683\pi\) |
0.928455 | + | 0.371445i | \(0.121138\pi\) | |||||||
\(312\) | −1.46483 | + | 3.51281i | −0.00469497 | + | 0.0112590i | ||||
\(313\) | 252.190 | − | 162.072i | 0.805717 | − | 0.517803i | −0.0717596 | − | 0.997422i | \(-0.522861\pi\) |
0.877477 | + | 0.479619i | \(0.159225\pi\) | |||||||
\(314\) | −387.833 | − | 55.7620i | −1.23514 | − | 0.177586i | ||||
\(315\) | −144.055 | + | 647.399i | −0.457318 | + | 2.05524i | ||||
\(316\) | 109.794 | − | 240.414i | 0.347448 | − | 0.760805i | ||||
\(317\) | 283.235 | + | 245.424i | 0.893484 | + | 0.774209i | 0.974940 | − | 0.222468i | \(-0.0714114\pi\) |
−0.0814555 | + | 0.996677i | \(0.525957\pi\) | |||||||
\(318\) | 119.607 | + | 96.8542i | 0.376121 | + | 0.304573i | ||||
\(319\) | −54.1958 | − | 376.940i | −0.169893 | − | 1.18163i | ||||
\(320\) | −407.381 | − | 186.045i | −1.27307 | − | 0.581390i | ||||
\(321\) | −324.844 | − | 193.783i | −1.01197 | − | 0.603684i | ||||
\(322\) | −619.193 | + | 181.812i | −1.92296 | + | 0.564632i | ||||
\(323\) | −68.4971 | − | 233.280i | −0.212065 | − | 0.722229i | ||||
\(324\) | 231.478 | + | 204.457i | 0.714439 | + | 0.631040i | ||||
\(325\) | −71.1645 | + | 45.7346i | −0.218968 | + | 0.140722i | ||||
\(326\) | −21.9874 | + | 10.0413i | −0.0674459 | + | 0.0308015i | ||||
\(327\) | −570.540 | − | 62.7096i | −1.74477 | − | 0.191772i | ||||
\(328\) | −13.7901 | − | 30.1961i | −0.0420429 | − | 0.0920612i | ||||
\(329\) | −292.872 | − | 42.1086i | −0.890188 | − | 0.127990i | ||||
\(330\) | 1239.08 | − | 409.143i | 3.75480 | − | 1.23983i | ||||
\(331\) | 0.156112 | − | 0.180163i | 0.000471638 | − | 0.000544299i | −0.755514 | − | 0.655133i | \(-0.772613\pi\) |
0.755985 | + | 0.654589i | \(0.227158\pi\) | |||||||
\(332\) | −132.257 | + | 205.795i | −0.398364 | + | 0.619866i | ||||
\(333\) | 302.753 | + | 305.641i | 0.909169 | + | 0.917842i | ||||
\(334\) | 637.989 | 1.91015 | ||||||||
\(335\) | −484.653 | − | 184.062i | −1.44672 | − | 0.549439i | ||||
\(336\) | 470.138 | − | 83.6705i | 1.39922 | − | 0.249019i | ||||
\(337\) | −123.770 | − | 271.018i | −0.367270 | − | 0.804208i | −0.999565 | − | 0.0294812i | \(-0.990614\pi\) |
0.632296 | − | 0.774727i | \(-0.282113\pi\) | |||||||
\(338\) | 246.496 | − | 383.555i | 0.729278 | − | 1.13478i | ||||
\(339\) | −37.8690 | − | 22.5904i | −0.111708 | − | 0.0666383i | ||||
\(340\) | 51.5762 | + | 358.720i | 0.151695 | + | 1.05506i | ||||
\(341\) | 193.290 | + | 27.7908i | 0.566832 | + | 0.0814981i | ||||
\(342\) | −353.745 | + | 350.402i | −1.03434 | + | 1.02457i | ||||
\(343\) | −66.6820 | − | 19.5796i | −0.194408 | − | 0.0570834i | ||||
\(344\) | −36.0589 | + | 16.4675i | −0.104822 | + | 0.0478707i | ||||
\(345\) | 412.770 | − | 382.478i | 1.19644 | − | 1.10863i | ||||
\(346\) | −59.5429 | − | 414.130i | −0.172089 | − | 1.19691i | ||||
\(347\) | −13.5657 | − | 46.2007i | −0.0390944 | − | 0.133143i | 0.937634 | − | 0.347625i | \(-0.113012\pi\) |
−0.976728 | + | 0.214482i | \(0.931194\pi\) | |||||||
\(348\) | −96.4941 | − | 193.919i | −0.277282 | − | 0.557239i | ||||
\(349\) | 133.442 | − | 154.000i | 0.382356 | − | 0.441262i | −0.531650 | − | 0.846964i | \(-0.678428\pi\) |
0.914005 | + | 0.405703i | \(0.132973\pi\) | |||||||
\(350\) | 844.430 | + | 385.638i | 2.41266 | + | 1.10182i | ||||
\(351\) | −40.7329 | − | 51.2897i | −0.116048 | − | 0.146125i | ||||
\(352\) | −587.700 | − | 678.242i | −1.66960 | − | 1.92682i | ||||
\(353\) | −236.857 | − | 205.238i | −0.670984 | − | 0.581411i | 0.251307 | − | 0.967907i | \(-0.419140\pi\) |
−0.922291 | + | 0.386497i | \(0.873685\pi\) | |||||||
\(354\) | 67.4756 | − | 261.772i | 0.190609 | − | 0.739470i | ||||
\(355\) | 37.2971 | + | 23.9694i | 0.105062 | + | 0.0675195i | ||||
\(356\) | 38.0450 | + | 5.47004i | 0.106868 | + | 0.0153653i | ||||
\(357\) | −238.543 | − | 257.435i | −0.668187 | − | 0.721108i | ||||
\(358\) | −550.718 | − | 353.925i | −1.53832 | − | 0.988616i | ||||
\(359\) | 317.501 | − | 275.116i | 0.884404 | − | 0.766340i | −0.0888567 | − | 0.996044i | \(-0.528321\pi\) |
0.973260 | + | 0.229704i | \(0.0737759\pi\) | |||||||
\(360\) | −29.2595 | + | 21.6874i | −0.0812764 | + | 0.0602428i | ||||
\(361\) | −20.1370 | − | 23.2394i | −0.0557812 | − | 0.0643750i | ||||
\(362\) | −521.123 | − | 74.9262i | −1.43957 | − | 0.206979i | ||||
\(363\) | 845.257 | + | 92.9046i | 2.32853 | + | 0.255935i | ||||
\(364\) | 88.0887 | 0.242002 | ||||||||
\(365\) | 8.65075i | 0.0237007i | ||||||||
\(366\) | −72.1373 | + | 656.314i | −0.197096 | + | 1.79321i | ||||
\(367\) | −212.667 | + | 136.673i | −0.579475 | + | 0.372406i | −0.797301 | − | 0.603581i | \(-0.793740\pi\) |
0.217826 | + | 0.975988i | \(0.430103\pi\) | |||||||
\(368\) | −368.552 | − | 168.312i | −1.00150 | − | 0.457370i | ||||
\(369\) | 569.607 | + | 43.4579i | 1.54365 | + | 0.117772i | ||||
\(370\) | 869.719 | − | 558.935i | 2.35059 | − | 1.51063i | ||||
\(371\) | −49.2459 | + | 167.716i | −0.132738 | + | 0.452065i | ||||
\(372\) | 109.351 | − | 19.4613i | 0.293955 | − | 0.0523153i | ||||
\(373\) | −86.8944 | −0.232961 | −0.116480 | − | 0.993193i | \(-0.537161\pi\) | ||||
−0.116480 | + | 0.993193i | \(0.537161\pi\) | |||||||
\(374\) | −194.539 | + | 662.538i | −0.520157 | + | 1.77149i | ||||
\(375\) | −229.042 | + | 7.63595i | −0.610778 | + | 0.0203625i | ||||
\(376\) | −10.6402 | − | 12.2795i | −0.0282985 | − | 0.0326582i | ||||
\(377\) | 12.9412 | + | 44.0738i | 0.0343269 | + | 0.116907i | ||||
\(378\) | −231.832 | + | 680.339i | −0.613313 | + | 1.79984i | ||||
\(379\) | 167.694 | + | 107.770i | 0.442464 | + | 0.284354i | 0.742843 | − | 0.669466i | \(-0.233477\pi\) |
−0.300379 | + | 0.953820i | \(0.597113\pi\) | |||||||
\(380\) | 315.705 | + | 491.247i | 0.830803 | + | 1.29275i | ||||
\(381\) | −6.92218 | − | 207.632i | −0.0181685 | − | 0.544966i | ||||
\(382\) | 67.2288 | + | 43.2054i | 0.175992 | + | 0.113103i | ||||
\(383\) | 97.6545 | + | 44.5973i | 0.254973 | + | 0.116442i | 0.538801 | − | 0.842433i | \(-0.318877\pi\) |
−0.283829 | + | 0.958875i | \(0.591605\pi\) | |||||||
\(384\) | 43.0705 | + | 25.6933i | 0.112163 | + | 0.0669097i | ||||
\(385\) | 970.520 | + | 1120.04i | 2.52083 | + | 2.90919i | ||||
\(386\) | −219.482 | + | 31.5567i | −0.568606 | + | 0.0817532i | ||||
\(387\) | 51.8956 | − | 680.200i | 0.134097 | − | 1.75762i | ||||
\(388\) | −123.699 | + | 142.756i | −0.318811 | + | 0.367927i | ||||
\(389\) | −84.3214 | − | 287.172i | −0.216764 | − | 0.738232i | −0.994035 | − | 0.109065i | \(-0.965214\pi\) |
0.777270 | − | 0.629167i | \(-0.216604\pi\) | |||||||
\(390\) | −140.915 | + | 70.1192i | −0.361320 | + | 0.179793i | ||||
\(391\) | 42.3789 | + | 294.751i | 0.108386 | + | 0.753840i | ||||
\(392\) | 11.7914 | + | 18.3478i | 0.0300801 | + | 0.0468056i | ||||
\(393\) | −208.345 | + | 143.925i | −0.530139 | + | 0.366220i | ||||
\(394\) | −380.873 | − | 111.835i | −0.966684 | − | 0.283844i | ||||
\(395\) | −487.887 | + | 222.810i | −1.23516 | + | 0.564077i | ||||
\(396\) | 675.045 | − | 143.494i | 1.70466 | − | 0.362359i | ||||
\(397\) | −17.4643 | − | 121.467i | −0.0439907 | − | 0.305962i | −0.999923 | − | 0.0123761i | \(-0.996060\pi\) |
0.955933 | − | 0.293586i | \(-0.0948486\pi\) | |||||||
\(398\) | 352.567 | + | 305.501i | 0.885846 | + | 0.767590i | ||||
\(399\) | −521.943 | − | 217.649i | −1.30813 | − | 0.545486i | ||||
\(400\) | 242.119 | + | 530.167i | 0.605297 | + | 1.32542i | ||||
\(401\) | 236.333i | 0.589358i | 0.955596 | + | 0.294679i | \(0.0952128\pi\) | ||||
−0.955596 | + | 0.294679i | \(0.904787\pi\) | |||||||
\(402\) | −500.287 | − | 255.660i | −1.24449 | − | 0.635969i | ||||
\(403\) | −23.5545 | −0.0584480 | ||||||||
\(404\) | 277.289 | − | 126.633i | 0.686358 | − | 0.313449i | ||||
\(405\) | −83.3027 | − | 621.195i | −0.205686 | − | 1.53381i | ||||
\(406\) | 330.102 | − | 380.959i | 0.813060 | − | 0.938322i | ||||
\(407\) | 951.528 | − | 136.809i | 2.33791 | − | 0.336140i | ||||
\(408\) | −0.642171 | − | 19.2620i | −0.00157395 | − | 0.0472109i | ||||
\(409\) | 271.175 | + | 593.789i | 0.663018 | + | 1.45181i | 0.879682 | + | 0.475562i | \(0.157755\pi\) |
−0.216664 | + | 0.976246i | \(0.569518\pi\) | |||||||
\(410\) | 386.767 | − | 1317.21i | 0.943334 | − | 3.21270i | ||||
\(411\) | 68.1275 | − | 47.0625i | 0.165760 | − | 0.114507i | ||||
\(412\) | −63.2369 | + | 40.6399i | −0.153488 | + | 0.0986405i | ||||
\(413\) | 303.901 | − | 43.6944i | 0.735839 | − | 0.105798i | ||||
\(414\) | 489.932 | − | 363.142i | 1.18341 | − | 0.877156i | ||||
\(415\) | 476.331 | − | 139.863i | 1.14779 | − | 0.337020i | ||||
\(416\) | 81.8102 | + | 70.8890i | 0.196659 | + | 0.170406i | ||||
\(417\) | −20.8628 | + | 80.9375i | −0.0500308 | + | 0.194095i | ||||
\(418\) | 158.341 | + | 1101.28i | 0.378806 | + | 2.63465i | ||||
\(419\) | 69.1664 | − | 59.9330i | 0.165075 | − | 0.143038i | −0.568406 | − | 0.822748i | \(-0.692440\pi\) |
0.733481 | + | 0.679710i | \(0.237894\pi\) | |||||||
\(420\) | 723.922 | + | 431.849i | 1.72362 | + | 1.02821i | ||||
\(421\) | 27.3096 | − | 59.7996i | 0.0648683 | − | 0.142042i | −0.874421 | − | 0.485168i | \(-0.838759\pi\) |
0.939289 | + | 0.343126i | \(0.111486\pi\) | |||||||
\(422\) | 507.422 | − | 789.564i | 1.20242 | − | 1.87101i | ||||
\(423\) | 273.499 | − | 58.1377i | 0.646570 | − | 0.137441i | ||||
\(424\) | −8.07498 | + | 5.18947i | −0.0190448 | + | 0.0122393i | ||||
\(425\) | 231.591 | − | 360.362i | 0.544919 | − | 0.847911i | ||||
\(426\) | 37.3394 | + | 30.2365i | 0.0876512 | + | 0.0709776i | ||||
\(427\) | −719.522 | + | 211.271i | −1.68506 | + | 0.494779i | ||||
\(428\) | −363.324 | + | 314.822i | −0.848887 | + | 0.735565i | ||||
\(429\) | −146.274 | + | 4.87658i | −0.340965 | + | 0.0113673i | ||||
\(430\) | −1572.95 | − | 461.861i | −3.65803 | − | 1.07409i | ||||
\(431\) | 716.157i | 1.66162i | 0.556559 | + | 0.830808i | \(0.312121\pi\) | ||||
−0.556559 | + | 0.830808i | \(0.687879\pi\) | |||||||
\(432\) | −389.722 | + | 227.496i | −0.902133 | + | 0.526612i | ||||
\(433\) | −162.859 | − | 47.8198i | −0.376118 | − | 0.110438i | 0.0882089 | − | 0.996102i | \(-0.471886\pi\) |
−0.464327 | + | 0.885664i | \(0.653704\pi\) | |||||||
\(434\) | 139.748 | + | 217.452i | 0.321999 | + | 0.501041i | ||||
\(435\) | −109.717 | + | 425.647i | −0.252222 | + | 0.978498i | ||||
\(436\) | −303.046 | + | 663.579i | −0.695061 | + | 1.52197i | ||||
\(437\) | 259.407 | + | 403.645i | 0.593608 | + | 0.923673i | ||||
\(438\) | −1.02426 | + | 9.31880i | −0.00233848 | + | 0.0212758i | ||||
\(439\) | −381.341 | −0.868659 | −0.434330 | − | 0.900754i | \(-0.643015\pi\) | ||||
−0.434330 | + | 0.900754i | \(0.643015\pi\) | |||||||
\(440\) | 81.3836i | 0.184963i | ||||||||
\(441\) | −374.492 | + | 24.9979i | −0.849188 | + | 0.0566846i | ||||
\(442\) | 11.8534 | − | 82.4420i | 0.0268176 | − | 0.186520i | ||||
\(443\) | 234.303 | − | 203.025i | 0.528902 | − | 0.458296i | −0.349010 | − | 0.937119i | \(-0.613482\pi\) |
0.877911 | + | 0.478823i | \(0.158936\pi\) | |||||||
\(444\) | 489.520 | − | 243.585i | 1.10252 | − | 0.548615i | ||||
\(445\) | −51.0797 | − | 58.9491i | −0.114786 | − | 0.132470i | ||||
\(446\) | −269.159 | + | 418.819i | −0.603495 | + | 0.939057i | ||||
\(447\) | −244.054 | − | 263.383i | −0.545982 | − | 0.589224i | ||||
\(448\) | 78.4481 | − | 545.619i | 0.175107 | − | 1.21790i | ||||
\(449\) | −240.332 | + | 373.964i | −0.535261 | + | 0.832883i | −0.998578 | − | 0.0533099i | \(-0.983023\pi\) |
0.463317 | + | 0.886193i | \(0.346659\pi\) | |||||||
\(450\) | −874.721 | − | 66.7364i | −1.94383 | − | 0.148303i | ||||
\(451\) | 835.938 | − | 964.724i | 1.85352 | − | 2.13908i | ||||
\(452\) | −42.3548 | + | 36.7006i | −0.0937053 | + | 0.0811961i | ||||
\(453\) | 255.698 | + | 774.380i | 0.564455 | + | 1.70945i | ||||
\(454\) | −453.352 | + | 992.702i | −0.998572 | + | 2.18657i | ||||
\(455\) | −135.100 | − | 117.065i | −0.296924 | − | 0.257286i | ||||
\(456\) | −13.8343 | − | 27.8022i | −0.0303385 | − | 0.0609697i | ||||
\(457\) | −734.831 | + | 215.766i | −1.60795 | + | 0.472135i | −0.957743 | − | 0.287625i | \(-0.907134\pi\) |
−0.650203 | + | 0.759761i | \(0.725316\pi\) | |||||||
\(458\) | −423.993 | + | 60.9610i | −0.925749 | + | 0.133103i | ||||
\(459\) | 295.515 | + | 150.565i | 0.643824 | + | 0.328029i | ||||
\(460\) | −297.111 | − | 650.582i | −0.645893 | − | 1.41431i | ||||
\(461\) | 28.6984 | − | 97.7377i | 0.0622524 | − | 0.212012i | −0.922493 | − | 0.386014i | \(-0.873852\pi\) |
0.984745 | + | 0.174002i | \(0.0556698\pi\) | |||||||
\(462\) | 912.855 | + | 1321.45i | 1.97588 | + | 2.86027i | ||||
\(463\) | 89.7784 | − | 624.423i | 0.193906 | − | 1.34864i | −0.627641 | − | 0.778503i | \(-0.715979\pi\) |
0.821546 | − | 0.570142i | \(-0.193112\pi\) | |||||||
\(464\) | 313.260 | − | 45.0400i | 0.675130 | − | 0.0970691i | ||||
\(465\) | −193.574 | − | 115.475i | −0.416288 | − | 0.248333i | ||||
\(466\) | −394.481 | − | 253.518i | −0.846527 | − | 0.544030i | ||||
\(467\) | −528.682 | + | 241.441i | −1.13208 | + | 0.517004i | −0.891227 | − | 0.453557i | \(-0.850155\pi\) |
−0.240854 | + | 0.970561i | \(0.577428\pi\) | |||||||
\(468\) | −78.1326 | + | 28.7202i | −0.166950 | + | 0.0613679i | ||||
\(469\) | 49.3117 | − | 636.186i | 0.105142 | − | 1.35647i | ||||
\(470\) | − | 671.938i | − | 1.42966i | ||||||
\(471\) | 239.021 | + | 346.005i | 0.507475 | + | 0.734618i | ||||
\(472\) | 14.1835 | + | 9.11519i | 0.0300498 | + | 0.0193118i | ||||
\(473\) | −1152.03 | − | 998.242i | −2.43559 | − | 2.11045i | ||||
\(474\) | −551.944 | + | 182.251i | −1.16444 | + | 0.384495i | ||||
\(475\) | 98.2282 | − | 683.192i | 0.206796 | − | 1.43830i | ||||
\(476\) | −405.753 | + | 185.301i | −0.852422 | + | 0.389288i | ||||
\(477\) | −11.0017 | − | 164.816i | −0.0230644 | − | 0.345527i | ||||
\(478\) | −60.1072 | − | 131.617i | −0.125747 | − | 0.275348i | ||||
\(479\) | 332.633 | + | 517.587i | 0.694432 | + | 1.08056i | 0.992047 | + | 0.125871i | \(0.0401726\pi\) |
−0.297614 | + | 0.954686i | \(0.596191\pi\) | |||||||
\(480\) | 324.796 | + | 983.643i | 0.676659 | + | 2.04926i | ||||
\(481\) | −111.258 | + | 32.6682i | −0.231305 | + | 0.0679172i | ||||
\(482\) | 254.363 | + | 866.280i | 0.527724 | + | 1.79726i | ||||
\(483\) | 594.829 | + | 354.840i | 1.23153 | + | 0.734658i | ||||
\(484\) | 448.965 | − | 983.096i | 0.927613 | − | 2.03119i | ||||
\(485\) | 379.429 | − | 54.5537i | 0.782329 | − | 0.112482i | ||||
\(486\) | −16.1857 | − | 679.030i | −0.0333040 | − | 1.39718i | ||||
\(487\) | 104.196 | − | 120.249i | 0.213956 | − | 0.246918i | −0.638619 | − | 0.769523i | \(-0.720494\pi\) |
0.852575 | + | 0.522605i | \(0.175040\pi\) | |||||||
\(488\) | −37.4584 | − | 17.1067i | −0.0767591 | − | 0.0350547i | ||||
\(489\) | 23.9447 | + | 9.98488i | 0.0489667 | + | 0.0204190i | ||||
\(490\) | −128.361 | + | 892.773i | −0.261962 | + | 1.82199i | ||||
\(491\) | 384.579 | + | 598.417i | 0.783257 | + | 1.21877i | 0.971591 | + | 0.236667i | \(0.0760551\pi\) |
−0.188333 | + | 0.982105i | \(0.560309\pi\) | |||||||
\(492\) | 279.440 | − | 670.125i | 0.567968 | − | 1.36204i | ||||
\(493\) | −152.322 | − | 175.789i | −0.308970 | − | 0.356570i | ||||
\(494\) | −37.8096 | − | 128.768i | −0.0765377 | − | 0.260664i | ||||
\(495\) | −1226.00 | − | 677.023i | −2.47677 | − | 1.36772i | ||||
\(496\) | −23.0959 | + | 160.635i | −0.0465643 | + | 0.323862i | ||||
\(497\) | −15.3738 | + | 52.3585i | −0.0309333 | + | 0.105349i | ||||
\(498\) | 529.676 | − | 94.2664i | 1.06361 | − | 0.189290i | ||||
\(499\) | −159.879 | −0.320399 | −0.160200 | − | 0.987085i | \(-0.551214\pi\) | ||||
−0.160200 | + | 0.987085i | \(0.551214\pi\) | |||||||
\(500\) | −82.0591 | + | 279.468i | −0.164118 | + | 0.558935i | ||||
\(501\) | −465.406 | − | 502.267i | −0.928954 | − | 1.00253i | ||||
\(502\) | −519.211 | + | 1136.91i | −1.03428 | + | 2.26477i | ||||
\(503\) | 203.699 | + | 93.0264i | 0.404969 | + | 0.184943i | 0.607477 | − | 0.794338i | \(-0.292182\pi\) |
−0.202508 | + | 0.979281i | \(0.564909\pi\) | |||||||
\(504\) | −35.7583 | − | 27.0342i | −0.0709491 | − | 0.0536392i | ||||
\(505\) | −593.563 | − | 174.286i | −1.17537 | − | 0.345120i | ||||
\(506\) | − | 1362.72i | − | 2.69312i | ||||||
\(507\) | −481.776 | + | 85.7417i | −0.950249 | + | 0.169116i | ||||
\(508\) | −253.344 | − | 74.3886i | −0.498709 | − | 0.146434i | ||||
\(509\) | −608.633 | − | 87.5081i | −1.19574 | − | 0.171922i | −0.484450 | − | 0.874819i | \(-0.660980\pi\) |
−0.711292 | + | 0.702897i | \(0.751889\pi\) | |||||||
\(510\) | 501.579 | − | 619.407i | 0.983489 | − | 1.21452i | ||||
\(511\) | −10.2163 | + | 2.99977i | −0.0199927 | + | 0.00587039i | ||||
\(512\) | 537.237 | − | 465.518i | 1.04929 | − | 0.909216i | ||||
\(513\) | 533.912 | + | 22.8765i | 1.04076 | + | 0.0445935i | ||||
\(514\) | 245.820 | − | 157.979i | 0.478248 | − | 0.307351i | ||||
\(515\) | 150.994 | + | 21.7096i | 0.293192 | + | 0.0421546i | ||||
\(516\) | −800.235 | − | 333.696i | −1.55084 | − | 0.646697i | ||||
\(517\) | 259.552 | − | 568.340i | 0.502035 | − | 1.09930i | ||||
\(518\) | 961.672 | + | 833.294i | 1.85651 | + | 1.60868i | ||||
\(519\) | −282.595 | + | 348.980i | −0.544498 | + | 0.672408i | ||||
\(520\) | −1.39704 | − | 9.71665i | −0.00268662 | − | 0.0186859i | ||||
\(521\) | −668.058 | − | 305.092i | −1.28226 | − | 0.585589i | −0.346443 | − | 0.938071i | \(-0.612610\pi\) |
−0.935819 | + | 0.352482i | \(0.885338\pi\) | |||||||
\(522\) | −168.586 | + | 445.527i | −0.322962 | + | 0.853500i | ||||
\(523\) | 147.782 | − | 43.3928i | 0.282566 | − | 0.0829690i | −0.137378 | − | 0.990519i | \(-0.543868\pi\) |
0.419945 | + | 0.907550i | \(0.362049\pi\) | |||||||
\(524\) | 90.6720 | + | 308.800i | 0.173038 | + | 0.589314i | ||||
\(525\) | −312.403 | − | 946.109i | −0.595053 | − | 1.80211i | ||||
\(526\) | 468.323 | − | 300.973i | 0.890348 | − | 0.572192i | ||||
\(527\) | 108.497 | − | 49.5487i | 0.205876 | − | 0.0940204i | ||||
\(528\) | −110.169 | + | 1002.33i | −0.208653 | + | 1.89835i | ||||
\(529\) | −24.3740 | − | 53.3715i | −0.0460755 | − | 0.100891i | ||||
\(530\) | −392.915 | − | 56.4927i | −0.741349 | − | 0.106590i | ||||
\(531\) | −255.307 | + | 137.839i | −0.480804 | + | 0.259584i | ||||
\(532\) | −470.672 | + | 543.185i | −0.884722 | + | 1.02102i | ||||
\(533\) | −83.2448 | + | 129.531i | −0.156182 | + | 0.243023i | ||||
\(534\) | −48.0447 | − | 69.5493i | −0.0899713 | − | 0.130242i | ||||
\(535\) | 975.605 | 1.82356 | ||||||||
\(536\) | 24.9243 | − | 24.6291i | 0.0465006 | − | 0.0459498i | ||||
\(537\) | 123.110 | + | 691.745i | 0.229255 | + | 1.28817i | ||||
\(538\) | −240.510 | − | 526.644i | −0.447045 | − | 0.978892i | ||||
\(539\) | −453.426 | + | 705.544i | −0.841235 | + | 1.30899i | ||||
\(540\) | −782.901 | − | 147.015i | −1.44982 | − | 0.272249i | ||||
\(541\) | −68.4121 | − | 475.817i | −0.126455 | − | 0.879513i | −0.949997 | − | 0.312259i | \(-0.898914\pi\) |
0.823542 | − | 0.567255i | \(-0.191995\pi\) | |||||||
\(542\) | 818.125 | + | 117.629i | 1.50946 | + | 0.217027i | ||||
\(543\) | 321.167 | + | 464.920i | 0.591468 | + | 0.856207i | ||||
\(544\) | −525.954 | − | 154.434i | −0.966826 | − | 0.283886i | ||||
\(545\) | 1346.64 | − | 614.989i | 2.47090 | − | 1.12842i | ||||
\(546\) | −131.673 | − | 142.101i | −0.241159 | − | 0.260259i | ||||
\(547\) | 141.365 | + | 983.216i | 0.258437 | + | 1.79747i | 0.543974 | + | 0.839102i | \(0.316919\pi\) |
−0.285537 | + | 0.958368i | \(0.592172\pi\) | |||||||
\(548\) | −29.6492 | − | 100.976i | −0.0541045 | − | 0.184263i | ||||
\(549\) | 569.317 | − | 421.983i | 1.03701 | − | 0.768639i | ||||
\(550\) | −1283.71 | + | 1481.49i | −2.33403 | + | 2.69361i | ||||
\(551\) | −340.921 | − | 155.693i | −0.618731 | − | 0.282565i | ||||
\(552\) | 11.9257 | + | 36.1168i | 0.0216045 | + | 0.0654290i | ||||
\(553\) | −432.314 | − | 498.917i | −0.781761 | − | 0.902200i | ||||
\(554\) | −687.636 | − | 595.840i | −1.24122 | − | 1.07552i | ||||
\(555\) | −1074.48 | − | 276.963i | −1.93600 | − | 0.499032i | ||||
\(556\) | 89.3674 | + | 57.4330i | 0.160733 | + | 0.103297i | ||||
\(557\) | 371.855 | + | 53.4647i | 0.667604 | + | 0.0959870i | 0.467780 | − | 0.883845i | \(-0.345054\pi\) |
0.199824 | + | 0.979832i | \(0.435963\pi\) | |||||||
\(558\) | −194.850 | − | 147.311i | −0.349194 | − | 0.263999i | ||||
\(559\) | 154.681 | + | 99.4074i | 0.276710 | + | 0.177831i | ||||
\(560\) | −930.822 | + | 806.562i | −1.66218 | + | 1.44029i | ||||
\(561\) | 663.507 | − | 330.161i | 1.18272 | − | 0.588522i | ||||
\(562\) | 401.665 | + | 463.546i | 0.714706 | + | 0.824815i | ||||
\(563\) | −416.710 | − | 59.9139i | −0.740161 | − | 0.106419i | −0.238087 | − | 0.971244i | \(-0.576520\pi\) |
−0.502074 | + | 0.864825i | \(0.667429\pi\) | |||||||
\(564\) | 38.8264 | − | 353.247i | 0.0688411 | − | 0.626325i | ||||
\(565\) | 113.732 | 0.201296 | ||||||||
\(566\) | − | 791.386i | − | 1.39821i | ||||||
\(567\) | 704.726 | − | 313.786i | 1.24290 | − | 0.553415i | ||||
\(568\) | −2.52089 | + | 1.62008i | −0.00443818 | + | 0.00285225i | ||||
\(569\) | 352.647 | + | 161.048i | 0.619766 | + | 0.283038i | 0.700449 | − | 0.713702i | \(-0.252983\pi\) |
−0.0806832 | + | 0.996740i | \(0.525710\pi\) | |||||||
\(570\) | 320.553 | − | 1243.59i | 0.562373 | − | 2.18173i | ||||
\(571\) | −263.877 | + | 169.584i | −0.462132 | + | 0.296994i | −0.750913 | − | 0.660401i | \(-0.770386\pi\) |
0.288781 | + | 0.957395i | \(0.406750\pi\) | |||||||
\(572\) | −52.4057 | + | 178.478i | −0.0916184 | + | 0.312024i | ||||
\(573\) | −15.0286 | − | 84.4448i | −0.0262280 | − | 0.147373i | ||||
\(574\) | 1689.70 | 2.94373 | ||||||||
\(575\) | −238.170 | + | 811.132i | −0.414208 | + | 1.41066i | ||||
\(576\) | 108.310 | + | 509.528i | 0.188039 | + | 0.884597i | ||||
\(577\) | −12.8705 | − | 14.8533i | −0.0223058 | − | 0.0257423i | 0.744487 | − | 0.667637i | \(-0.232694\pi\) |
−0.766793 | + | 0.641895i | \(0.778149\pi\) | |||||||
\(578\) | −108.759 | − | 370.400i | −0.188165 | − | 0.640831i | ||||
\(579\) | 184.953 | + | 149.770i | 0.319436 | + | 0.258671i | ||||
\(580\) | 469.979 | + | 302.037i | 0.810309 | + | 0.520754i | ||||
\(581\) | 330.349 | + | 514.033i | 0.568587 | + | 0.884739i | ||||
\(582\) | 415.190 | − | 13.8419i | 0.713385 | − | 0.0237833i | ||||
\(583\) | −310.514 | − | 199.555i | −0.532615 | − | 0.342291i | ||||
\(584\) | −0.531861 | − | 0.242893i | −0.000910720 | − | 0.000415912i | ||||
\(585\) | 157.998 | + | 59.7862i | 0.270083 | + | 0.102199i | ||||
\(586\) | −232.069 | − | 267.822i | −0.396022 | − | 0.457034i | ||||
\(587\) | 569.500 | − | 81.8818i | 0.970188 | − | 0.139492i | 0.361042 | − | 0.932550i | \(-0.382421\pi\) |
0.609146 | + | 0.793058i | \(0.291512\pi\) | |||||||
\(588\) | −119.068 | + | 461.926i | −0.202497 | + | 0.785589i | ||||
\(589\) | 125.856 | − | 145.245i | 0.213677 | − | 0.246596i | ||||
\(590\) | 196.436 | + | 669.000i | 0.332943 | + | 1.13390i | ||||
\(591\) | 189.800 | + | 381.431i | 0.321150 | + | 0.645399i | ||||
\(592\) | 113.697 | + | 790.778i | 0.192055 | + | 1.33577i | ||||
\(593\) | −199.959 | − | 311.142i | −0.337198 | − | 0.524691i | 0.630702 | − | 0.776025i | \(-0.282767\pi\) |
−0.967900 | + | 0.251334i | \(0.919131\pi\) | |||||||
\(594\) | −1240.52 | − | 874.466i | −2.08842 | − | 1.47216i | ||||
\(595\) | 868.553 | + | 255.030i | 1.45975 | + | 0.428622i | ||||
\(596\) | −415.127 | + | 189.582i | −0.696523 | + | 0.318091i | ||||
\(597\) | −16.6835 | − | 500.423i | −0.0279455 | − | 0.838230i | ||||
\(598\) | 23.3926 | + | 162.699i | 0.0391181 | + | 0.272073i | ||||
\(599\) | −231.355 | − | 200.470i | −0.386236 | − | 0.334675i | 0.440002 | − | 0.897997i | \(-0.354978\pi\) |
−0.826238 | + | 0.563322i | \(0.809523\pi\) | |||||||
\(600\) | 21.0579 | − | 50.4988i | 0.0350964 | − | 0.0841647i | ||||
\(601\) | 150.642 | + | 329.859i | 0.250652 | + | 0.548851i | 0.992575 | − | 0.121634i | \(-0.0388134\pi\) |
−0.741923 | + | 0.670485i | \(0.766086\pi\) | |||||||
\(602\) | − | 2017.77i | − | 3.35177i | ||||||
\(603\) | 163.682 | + | 580.360i | 0.271446 | + | 0.962454i | ||||
\(604\) | 1036.48 | 1.71602 | ||||||||
\(605\) | −1995.05 | + | 911.110i | −3.29761 | + | 1.50597i | ||||
\(606\) | −618.765 | − | 258.023i | −1.02106 | − | 0.425781i | ||||
\(607\) | 282.592 | − | 326.129i | 0.465555 | − | 0.537279i | −0.473615 | − | 0.880732i | \(-0.657051\pi\) |
0.939170 | + | 0.343453i | \(0.111597\pi\) | |||||||
\(608\) | −874.251 | + | 125.698i | −1.43791 | + | 0.206741i | ||||
\(609\) | −540.722 | + | 18.0270i | −0.887885 | + | 0.0296009i | ||||
\(610\) | −707.446 | − | 1549.09i | −1.15975 | − | 2.53949i | ||||
\(611\) | −21.2326 | + | 72.3114i | −0.0347505 | + | 0.118349i | ||||
\(612\) | 299.478 | − | 296.648i | 0.489343 | − | 0.484719i | ||||
\(613\) | −479.332 | + | 308.048i | −0.781944 | + | 0.502525i | −0.869678 | − | 0.493619i | \(-0.835674\pi\) |
0.0877340 | + | 0.996144i | \(0.472037\pi\) | |||||||
\(614\) | 952.611 | − | 136.965i | 1.55148 | − | 0.223070i | ||||
\(615\) | −1319.13 | + | 656.400i | −2.14493 | + | 1.06732i | ||||
\(616\) | −96.1116 | + | 28.2209i | −0.156025 | + | 0.0458132i | ||||
\(617\) | 297.729 | + | 257.984i | 0.482544 | + | 0.418127i | 0.861864 | − | 0.507139i | \(-0.169297\pi\) |
−0.379321 | + | 0.925265i | \(0.623842\pi\) | |||||||
\(618\) | 160.084 | + | 41.2639i | 0.259035 | + | 0.0667701i | ||||
\(619\) | −145.231 | − | 1010.10i | −0.234622 | − | 1.63183i | −0.677692 | − | 0.735346i | \(-0.737020\pi\) |
0.443070 | − | 0.896487i | \(-0.353889\pi\) | |||||||
\(620\) | −216.504 | + | 187.602i | −0.349200 | + | 0.302583i | ||||
\(621\) | −643.290 | − | 120.798i | −1.03589 | − | 0.194522i | ||||
\(622\) | −331.097 | + | 725.002i | −0.532311 | + | 1.16560i | ||||
\(623\) | 51.9045 | − | 80.7650i | 0.0833138 | − | 0.129639i | ||||
\(624\) | −4.05274 | − | 121.563i | −0.00649477 | − | 0.194812i | ||||
\(625\) | −236.163 | + | 151.772i | −0.377860 | + | 0.242836i | ||||
\(626\) | −453.017 | + | 704.909i | −0.723670 | + | 1.12605i | ||||
\(627\) | 751.495 | − | 928.031i | 1.19856 | − | 1.48011i | ||||
\(628\) | 512.836 | − | 150.582i | 0.816618 | − | 0.239781i | ||||
\(629\) | 443.753 | − | 384.514i | 0.705490 | − | 0.611311i | ||||
\(630\) | −385.458 | − | 1813.32i | −0.611838 | − | 2.87829i | ||||
\(631\) | −225.813 | − | 66.3047i | −0.357866 | − | 0.105079i | 0.0978574 | − | 0.995200i | \(-0.468801\pi\) |
−0.455723 | + | 0.890122i | \(0.650619\pi\) | |||||||
\(632\) | − | 36.2520i | − | 0.0573607i | ||||||
\(633\) | −991.756 | + | 176.503i | −1.56675 | + | 0.278835i | ||||
\(634\) | −1005.12 | − | 295.129i | −1.58536 | − | 0.465503i | ||||
\(635\) | 289.692 | + | 450.770i | 0.456208 | + | 0.709873i | ||||
\(636\) | −203.297 | − | 52.4026i | −0.319649 | − | 0.0823941i | ||||
\(637\) | 42.0245 | − | 92.0208i | 0.0659725 | − | 0.144460i | ||||
\(638\) | 575.480 | + | 895.465i | 0.902007 | + | 1.40355i | ||||
\(639\) | −3.43458 | − | 51.4532i | −0.00537493 | − | 0.0805214i | ||||
\(640\) | −129.354 | −0.202115 | ||||||||
\(641\) | 303.938i | 0.474162i | 0.971490 | + | 0.237081i | \(0.0761907\pi\) | ||||
−0.971490 | + | 0.237081i | \(0.923809\pi\) | |||||||
\(642\) | 1050.95 | + | 115.512i | 1.63699 | + | 0.179926i | ||||
\(643\) | −66.2555 | + | 460.817i | −0.103041 | + | 0.716667i | 0.871162 | + | 0.490995i | \(0.163367\pi\) |
−0.974203 | + | 0.225672i | \(0.927542\pi\) | |||||||
\(644\) | 665.290 | − | 576.477i | 1.03306 | − | 0.895151i | ||||
\(645\) | 783.846 | + | 1575.25i | 1.21526 | + | 2.44225i | ||||
\(646\) | 445.031 | + | 513.593i | 0.688903 | + | 0.795036i | ||||
\(647\) | 385.531 | − | 599.898i | 0.595875 | − | 0.927200i | −0.404047 | − | 0.914738i | \(-0.632397\pi\) |
0.999922 | − | 0.0124619i | \(-0.00396684\pi\) | |||||||
\(648\) | 40.5309 | + | 12.3201i | 0.0625477 | + | 0.0190125i | ||||
\(649\) | −92.2673 | + | 641.733i | −0.142168 | + | 0.988803i | ||||
\(650\) | 127.835 | − | 198.916i | 0.196670 | − | 0.306024i | ||||
\(651\) | 69.2477 | − | 268.647i | 0.106371 | − | 0.412669i | ||||
\(652\) | 21.5926 | − | 24.9192i | 0.0331175 | − | 0.0382196i | ||||
\(653\) | 160.023 | − | 138.661i | 0.245058 | − | 0.212344i | −0.523668 | − | 0.851923i | \(-0.675437\pi\) |
0.768726 | + | 0.639579i | \(0.220891\pi\) | |||||||
\(654\) | 1523.45 | − | 503.039i | 2.32943 | − | 0.769172i | ||||
\(655\) | 271.317 | − | 594.101i | 0.414224 | − | 0.907024i | ||||
\(656\) | 801.745 | + | 694.716i | 1.22217 | + | 1.05902i | ||||
\(657\) | 8.08355 | − | 5.99161i | 0.0123037 | − | 0.00911965i | ||||
\(658\) | 793.539 | − | 233.004i | 1.20599 | − | 0.354110i | ||||
\(659\) | −474.201 | + | 68.1798i | −0.719577 | + | 0.103460i | −0.492369 | − | 0.870387i | \(-0.663869\pi\) |
−0.227208 | + | 0.973846i | \(0.572960\pi\) | |||||||
\(660\) | −1305.65 | + | 1209.83i | −1.97826 | + | 1.83308i | ||||
\(661\) | 380.451 | + | 833.071i | 0.575568 | + | 1.26032i | 0.943779 | + | 0.330576i | \(0.107243\pi\) |
−0.368211 | + | 0.929742i | \(0.620030\pi\) | |||||||
\(662\) | −0.187729 | + | 0.639345i | −0.000283578 | + | 0.000965779i | ||||
\(663\) | −73.5507 | + | 50.8088i | −0.110936 | + | 0.0766348i | ||||
\(664\) | −4.77525 | + | 33.2126i | −0.00719164 | + | 0.0500189i | ||||
\(665\) | 1443.73 | − | 207.577i | 2.17102 | − | 0.312145i | ||||
\(666\) | −1124.66 | − | 425.571i | −1.68869 | − | 0.638995i | ||||
\(667\) | 386.170 | + | 248.176i | 0.578966 | + | 0.372079i | ||||
\(668\) | −791.640 | + | 361.530i | −1.18509 | + | 0.541212i | ||||
\(669\) | 526.071 | − | 93.6248i | 0.786354 | − | 0.139947i | ||||
\(670\) | 1445.98 | − | 94.7647i | 2.15818 | − | 0.141440i | ||||
\(671\) | − | 1583.52i | − | 2.35994i | ||||||
\(672\) | −1049.03 | + | 724.667i | −1.56105 | + | 1.07837i | ||||
\(673\) | 498.705 | + | 320.498i | 0.741018 | + | 0.476223i | 0.855891 | − | 0.517157i | \(-0.173010\pi\) |
−0.114873 | + | 0.993380i | \(0.536646\pi\) | |||||||
\(674\) | 629.385 | + | 545.366i | 0.933806 | + | 0.809148i | ||||
\(675\) | 585.561 | + | 737.321i | 0.867497 | + | 1.09233i | ||||
\(676\) | −88.5116 | + | 615.612i | −0.130934 | + | 0.910668i | ||||
\(677\) | −164.749 | + | 75.2382i | −0.243351 | + | 0.111135i | −0.533357 | − | 0.845890i | \(-0.679070\pi\) |
0.290006 | + | 0.957025i | \(0.406343\pi\) | |||||||
\(678\) | 122.515 | + | 13.4660i | 0.180701 | + | 0.0198613i | ||||
\(679\) | 195.999 | + | 429.177i | 0.288658 | + | 0.632073i | ||||
\(680\) | 26.8748 | + | 41.8179i | 0.0395217 | + | 0.0614970i | ||||
\(681\) | 1112.24 | − | 367.257i | 1.63324 | − | 0.539291i | ||||
\(682\) | −523.720 | + | 153.778i | −0.767918 | + | 0.225481i | ||||
\(683\) | −247.959 | − | 844.470i | −0.363044 | − | 1.23641i | −0.915312 | − | 0.402746i | \(-0.868056\pi\) |
0.552268 | − | 0.833667i | \(-0.313763\pi\) | |||||||
\(684\) | 240.377 | − | 635.248i | 0.351428 | − | 0.928726i | ||||
\(685\) | −88.7191 | + | 194.268i | −0.129517 | + | 0.283603i | ||||
\(686\) | 192.278 | − | 27.6454i | 0.280289 | − | 0.0402994i | ||||
\(687\) | 357.291 | + | 289.325i | 0.520074 | + | 0.421142i | ||||
\(688\) | 829.600 | − | 957.410i | 1.20581 | − | 1.39158i | ||||
\(689\) | 40.4989 | + | 18.4952i | 0.0587793 | + | 0.0268436i | ||||
\(690\) | −605.381 | + | 1451.76i | −0.877363 | + | 2.10400i | ||||
\(691\) | −10.0348 | + | 69.7937i | −0.0145222 | + | 0.101004i | −0.995793 | − | 0.0916275i | \(-0.970793\pi\) |
0.981271 | + | 0.192631i | \(0.0617022\pi\) | |||||||
\(692\) | 308.559 | + | 480.127i | 0.445894 | + | 0.693825i | ||||
\(693\) | 374.410 | − | 1682.64i | 0.540275 | − | 2.42805i | ||||
\(694\) | 88.1376 | + | 101.716i | 0.126999 | + | 0.146565i | ||||
\(695\) | −60.7362 | − | 206.849i | −0.0873902 | − | 0.297624i | ||||
\(696\) | −23.0888 | − | 18.6967i | −0.0331736 | − | 0.0268631i | ||||
\(697\) | 110.962 | − | 771.757i | 0.159199 | − | 1.10726i | ||||
\(698\) | −160.467 | + | 546.502i | −0.229896 | + | 0.782954i | ||||
\(699\) | 88.1842 | + | 495.500i | 0.126158 | + | 0.708870i | ||||
\(700\) | −1266.33 | −1.80904 | ||||||||
\(701\) | −169.960 | + | 578.830i | −0.242453 | + | 0.825720i | 0.744899 | + | 0.667178i | \(0.232498\pi\) |
−0.987352 | + | 0.158543i | \(0.949320\pi\) | |||||||
\(702\) | 163.121 | + | 83.1104i | 0.232366 | + | 0.118391i | ||||
\(703\) | 393.024 | − | 860.604i | 0.559068 | − | 1.22419i | ||||
\(704\) | 1058.81 | + | 483.544i | 1.50400 | + | 0.686853i | ||||
\(705\) | −528.994 | + | 490.172i | −0.750346 | + | 0.695279i | ||||
\(706\) | 840.536 | + | 246.804i | 1.19056 | + | 0.349580i | ||||
\(707\) | − | 761.416i | − | 1.07697i | ||||||
\(708\) | 64.6126 | + | 363.053i | 0.0912608 | + | 0.512787i | ||||
\(709\) | 171.803 | + | 50.4460i | 0.242318 | + | 0.0711510i | 0.400636 | − | 0.916237i | \(-0.368789\pi\) |
−0.158318 | + | 0.987388i | \(0.550607\pi\) | |||||||
\(710\) | −122.662 | − | 17.6362i | −0.172764 | − | 0.0248397i | ||||
\(711\) | 546.117 | + | 301.577i | 0.768098 | + | 0.424159i | ||||
\(712\) | 5.05847 | − | 1.48530i | 0.00710459 | − | 0.00208610i | ||||
\(713\) | −177.896 | + | 154.148i | −0.249503 | + | 0.216196i | ||||
\(714\) | 905.431 | + | 377.562i | 1.26811 | + | 0.528799i | ||||
\(715\) | 317.561 | − | 204.084i | 0.444141 | − | 0.285432i | ||||
\(716\) | 883.909 | + | 127.087i | 1.23451 | + | 0.177496i | ||||
\(717\) | −59.7695 | + | 143.333i | −0.0833606 | + | 0.199907i | ||||
\(718\) | −487.815 | + | 1068.17i | −0.679408 | + | 1.48770i | ||||
\(719\) | 501.422 | + | 434.485i | 0.697388 | + | 0.604290i | 0.929685 | − | 0.368355i | \(-0.120079\pi\) |
−0.232297 | + | 0.972645i | \(0.574624\pi\) | |||||||
\(720\) | 562.648 | − | 1018.88i | 0.781455 | − | 1.41512i | ||||
\(721\) | 26.7208 | + | 185.847i | 0.0370607 | + | 0.257763i | ||||
\(722\) | 78.1840 | + | 35.7055i | 0.108288 | + | 0.0494535i | ||||
\(723\) | 496.437 | − | 832.193i | 0.686635 | − | 1.15103i | ||||
\(724\) | 689.087 | − | 202.334i | 0.951778 | − | 0.279467i | ||||
\(725\) | −186.038 | − | 633.588i | −0.256604 | − | 0.873914i | ||||
\(726\) | −2257.00 | + | 745.255i | −3.10881 | + | 1.02652i | ||||
\(727\) | −818.719 | + | 526.159i | −1.12616 | + | 0.723740i | −0.964755 | − | 0.263148i | \(-0.915239\pi\) |
−0.161406 | + | 0.986888i | \(0.551603\pi\) | |||||||
\(728\) | 10.9906 | − | 5.01925i | 0.0150970 | − | 0.00689458i | ||||
\(729\) | −522.770 | + | 508.088i | −0.717105 | + | 0.696965i | ||||
\(730\) | −10.0448 | − | 21.9951i | −0.0137600 | − | 0.0301302i | ||||
\(731\) | −921.600 | − | 132.506i | −1.26074 | − | 0.181267i | ||||
\(732\) | −282.404 | − | 855.257i | −0.385797 | − | 1.16838i | ||||
\(733\) | 448.639 | − | 517.757i | 0.612058 | − | 0.706353i | −0.362120 | − | 0.932131i | \(-0.617947\pi\) |
0.974179 | + | 0.225778i | \(0.0724925\pi\) | |||||||
\(734\) | 382.023 | − | 594.439i | 0.520467 | − | 0.809862i | ||||
\(735\) | 796.488 | − | 550.214i | 1.08366 | − | 0.748591i | ||||
\(736\) | 1081.79 | 1.46982 | ||||||||
\(737\) | 1259.65 | + | 478.391i | 1.70916 | + | 0.649106i | ||||
\(738\) | −1498.72 | + | 550.904i | −2.03079 | + | 0.746483i | ||||
\(739\) | −50.9878 | − | 111.648i | −0.0689957 | − | 0.151080i | 0.871992 | − | 0.489520i | \(-0.162828\pi\) |
−0.940988 | + | 0.338440i | \(0.890101\pi\) | |||||||
\(740\) | −762.447 | + | 1186.39i | −1.03033 | + | 1.60323i | ||||
\(741\) | −73.7927 | + | 123.701i | −0.0995853 | + | 0.166938i | ||||
\(742\) | −69.5327 | − | 483.611i | −0.0937099 | − | 0.651766i | ||||
\(743\) | 842.841 | + | 121.182i | 1.13438 | + | 0.163099i | 0.683820 | − | 0.729650i | \(-0.260317\pi\) |
0.450555 | + | 0.892749i | \(0.351226\pi\) | |||||||
\(744\) | 12.5346 | − | 8.65893i | 0.0168476 | − | 0.0116384i | ||||
\(745\) | 888.620 | + | 260.922i | 1.19278 | + | 0.350231i | ||||
\(746\) | 220.934 | − | 100.897i | 0.296159 | − | 0.135251i | ||||
\(747\) | −460.606 | − | 348.229i | −0.616607 | − | 0.466170i | ||||
\(748\) | −134.050 | − | 932.341i | −0.179212 | − | 1.24644i | ||||
\(749\) | 338.305 | + | 1152.16i | 0.451675 | + | 1.53827i | ||||
\(750\) | 573.487 | − | 285.367i | 0.764649 | − | 0.380489i | ||||
\(751\) | 371.696 | − | 428.960i | 0.494934 | − | 0.571185i | −0.452243 | − | 0.891895i | \(-0.649376\pi\) |
0.947177 | + | 0.320710i | \(0.103922\pi\) | |||||||
\(752\) | 472.325 | + | 215.704i | 0.628092 | + | 0.286840i | ||||
\(753\) | 1273.81 | − | 420.609i | 1.69165 | − | 0.558578i | ||||
\(754\) | −84.0802 | − | 97.0337i | −0.111512 | − | 0.128692i | ||||
\(755\) | −1589.63 | − | 1377.42i | −2.10547 | − | 1.82440i | ||||
\(756\) | −97.8620 | − | 975.562i | −0.129447 | − | 1.29043i | ||||
\(757\) | −177.285 | − | 113.934i | −0.234194 | − | 0.150508i | 0.418281 | − | 0.908318i | \(-0.362633\pi\) |
−0.652475 | + | 0.757810i | \(0.726269\pi\) | |||||||
\(758\) | −551.510 | − | 79.2951i | −0.727585 | − | 0.104611i | ||||
\(759\) | −1072.82 | + | 994.089i | −1.41347 | + | 1.30973i | ||||
\(760\) | 67.3808 | + | 43.3030i | 0.0886590 | + | 0.0569777i | ||||
\(761\) | −33.9289 | + | 29.3995i | −0.0445846 | + | 0.0386328i | −0.676868 | − | 0.736104i | \(-0.736663\pi\) |
0.632283 | + | 0.774737i | \(0.282118\pi\) | |||||||
\(762\) | 258.692 | + | 519.880i | 0.339491 | + | 0.682257i | ||||
\(763\) | 1193.25 | + | 1377.08i | 1.56389 | + | 1.80483i | ||||
\(764\) | −107.903 | − | 15.5141i | −0.141235 | − | 0.0203065i | ||||
\(765\) | −853.535 | + | 56.9748i | −1.11573 | + | 0.0744768i | ||||
\(766\) | −300.077 | −0.391745 | ||||||||
\(767\) | − | 78.2025i | − | 0.101959i | ||||||
\(768\) | −829.735 | − | 91.1985i | −1.08038 | − | 0.118748i | ||||
\(769\) | 857.601 | − | 551.147i | 1.11522 | − | 0.716706i | 0.152793 | − | 0.988258i | \(-0.451173\pi\) |
0.962424 | + | 0.271552i | \(0.0875370\pi\) | |||||||
\(770\) | −3768.14 | − | 1720.85i | −4.89369 | − | 2.23487i | ||||
\(771\) | −303.694 | − | 78.2815i | −0.393896 | − | 0.101532i | ||||
\(772\) | 254.459 | − | 163.531i | 0.329610 | − | 0.211828i | ||||
\(773\) | 43.7522 | − | 149.006i | 0.0566005 | − | 0.192764i | −0.926340 | − | 0.376689i | \(-0.877062\pi\) |
0.982940 | + | 0.183926i | \(0.0588806\pi\) | |||||||
\(774\) | 657.867 | + | 1789.71i | 0.849957 | + | 2.31229i | ||||
\(775\) | 338.611 | 0.436917 | ||||||||
\(776\) | −7.29944 | + | 24.8596i | −0.00940649 | + | 0.0320356i | ||||
\(777\) | −45.5063 | − | 1364.97i | −0.0585667 | − | 1.75672i | ||||
\(778\) | 547.842 | + | 632.244i | 0.704167 | + | 0.812653i | ||||
\(779\) | −353.944 | − | 1205.42i | −0.454357 | − | 1.54740i | ||||
\(780\) | 135.118 | − | 166.859i | 0.173228 | − | 0.213922i | ||||
\(781\) | −96.9380 | − | 62.2983i | −0.124120 | − | 0.0797673i | ||||
\(782\) | −450.001 | − | 700.216i | −0.575449 | − | 0.895417i | ||||
\(783\) | 473.730 | − | 192.285i | 0.605019 | − | 0.245574i | ||||
\(784\) | −586.350 | − | 376.824i | −0.747896 | − | 0.480643i | ||||
\(785\) | −986.645 | − | 450.586i | −1.25687 | − | 0.573994i | ||||
\(786\) | 362.611 | − | 607.856i | 0.461338 | − | 0.773354i | ||||
\(787\) | 460.458 | + | 531.396i | 0.585080 | + | 0.675218i | 0.968689 | − | 0.248278i | \(-0.0798645\pi\) |
−0.383609 | + | 0.923495i | \(0.625319\pi\) | |||||||
\(788\) | 535.975 | − | 77.0616i | 0.680171 | − | 0.0977939i | ||||
\(789\) | −578.583 | − | 149.138i | −0.733311 | − | 0.189022i | ||||
\(790\) | 981.766 | − | 1133.02i | 1.24274 | − | 1.43420i | ||||
\(791\) | 39.4382 | + | 134.314i | 0.0498587 | + | 0.169803i | ||||
\(792\) | 76.0476 | − | 56.3672i | 0.0960197 | − | 0.0711707i | ||||
\(793\) | 27.1830 | + | 189.062i | 0.0342787 | + | 0.238413i | ||||
\(794\) | 185.445 | + | 288.558i | 0.233558 | + | 0.363424i | ||||
\(795\) | 242.153 | + | 350.539i | 0.304595 | + | 0.440930i | ||||
\(796\) | −610.596 | − | 179.287i | −0.767081 | − | 0.225235i | ||||
\(797\) | −1105.45 | + | 504.842i | −1.38701 | + | 0.633428i | −0.962323 | − | 0.271910i | \(-0.912345\pi\) |
−0.424692 | + | 0.905338i | \(0.639618\pi\) | |||||||
\(798\) | 1579.80 | − | 52.6683i | 1.97969 | − | 0.0660004i | ||||
\(799\) | −54.3114 | − | 377.744i | −0.0679743 | − | 0.472771i | ||||
\(800\) | −1176.07 | − | 1019.07i | −1.47009 | − | 1.27384i | ||||
\(801\) | −19.7057 | + | 88.5594i | −0.0246013 | + | 0.110561i | ||||
\(802\) | −274.418 | − | 600.891i | −0.342167 | − | 0.749240i | ||||
\(803\) | − | 22.4839i | − | 0.0279999i | ||||||
\(804\) | 765.649 | + | 33.7336i | 0.952300 | + | 0.0419573i | ||||
\(805\) | −1786.45 | −2.21920 | ||||||||
\(806\) | 59.8889 | − | 27.3503i | 0.0743038 | − | 0.0339334i | ||||
\(807\) | −239.159 | + | 573.527i | −0.296356 | + | 0.710690i | ||||
\(808\) | 27.3812 | − | 31.5996i | 0.0338876 | − | 0.0391084i | ||||
\(809\) | −1543.42 | + | 221.911i | −1.90782 | + | 0.274302i | −0.991895 | − | 0.127059i | \(-0.959446\pi\) |
−0.915920 | + | 0.401361i | \(0.868537\pi\) | |||||||
\(810\) | 933.103 | + | 1482.70i | 1.15198 | + | 1.83049i | ||||
\(811\) | −227.483 | − | 498.117i | −0.280496 | − | 0.614202i | 0.715976 | − | 0.698125i | \(-0.245982\pi\) |
−0.996472 | + | 0.0839236i | \(0.973255\pi\) | |||||||
\(812\) | −193.725 | + | 659.767i | −0.238578 | + | 0.812521i | ||||
\(813\) | −504.208 | − | 729.890i | −0.620183 | − | 0.897774i | ||||
\(814\) | −2260.47 | + | 1452.71i | −2.77698 | + | 1.78466i | ||||
\(815\) | −66.2326 | + | 9.52281i | −0.0812670 | + | 0.0116844i | ||||
\(816\) | 274.384 | + | 551.415i | 0.336255 | + | 0.675754i | ||||
\(817\) | −1439.46 | + | 422.665i | −1.76189 | + | 0.517338i | ||||
\(818\) | −1378.96 | − | 1194.87i | −1.68577 | − | 1.46072i | ||||
\(819\) | −15.8176 | + | 207.323i | −0.0193133 | + | 0.253142i | ||||
\(820\) | 266.509 | + | 1853.61i | 0.325011 | + | 2.26050i | ||||
\(821\) | −616.180 | + | 533.923i | −0.750524 | + | 0.650332i | −0.943689 | − | 0.330834i | \(-0.892670\pi\) |
0.193165 | + | 0.981166i | \(0.438125\pi\) | |||||||
\(822\) | −118.572 | + | 198.766i | −0.144248 | + | 0.241807i | ||||
\(823\) | −245.130 | + | 536.760i | −0.297849 | + | 0.652199i | −0.998095 | − | 0.0617035i | \(-0.980347\pi\) |
0.700245 | + | 0.713902i | \(0.253074\pi\) | |||||||
\(824\) | −5.57429 | + | 8.67376i | −0.00676491 | + | 0.0105264i | ||||
\(825\) | 2102.78 | − | 70.1039i | 2.54882 | − | 0.0849744i | ||||
\(826\) | −721.952 | + | 463.971i | −0.874035 | + | 0.561708i | ||||
\(827\) | 117.174 | − | 182.326i | 0.141686 | − | 0.220467i | −0.763157 | − | 0.646213i | \(-0.776352\pi\) |
0.904843 | + | 0.425746i | \(0.139988\pi\) | |||||||
\(828\) | −402.144 | + | 728.231i | −0.485681 | + | 0.879506i | ||||
\(829\) | 1075.00 | − | 315.649i | 1.29675 | − | 0.380759i | 0.440698 | − | 0.897656i | \(-0.354731\pi\) |
0.856048 | + | 0.516897i | \(0.172913\pi\) | |||||||
\(830\) | −1048.70 | + | 908.704i | −1.26349 | + | 1.09482i | ||||
\(831\) | 32.5389 | + | 976.011i | 0.0391564 | + | 1.17450i | ||||
\(832\) | −134.716 | − | 39.5562i | −0.161918 | − | 0.0475435i | ||||
\(833\) | 512.267i | 0.614966i | ||||||||
\(834\) | −40.9355 | − | 230.014i | −0.0490834 | − | 0.275796i | ||||
\(835\) | 1694.58 | + | 497.574i | 2.02944 | + | 0.595897i | ||||
\(836\) | −820.541 | − | 1276.79i | −0.981508 | − | 1.52726i | ||||
\(837\) | 26.1679 | + | 260.861i | 0.0312639 | + | 0.311662i | ||||
\(838\) | −106.269 | + | 232.696i | −0.126812 | + | 0.277680i | ||||
\(839\) | −163.105 | − | 253.796i | −0.194404 | − | 0.302498i | 0.730343 | − | 0.683080i | \(-0.239360\pi\) |
−0.924747 | + | 0.380582i | \(0.875724\pi\) | |||||||
\(840\) | 114.929 | + | 12.6321i | 0.136820 | + | 0.0150383i | ||||
\(841\) | 482.436 | 0.573645 | ||||||||
\(842\) | 183.755i | 0.218236i | ||||||||
\(843\) | 71.9235 | − | 654.369i | 0.0853185 | − | 0.776238i | ||||
\(844\) | −182.205 | + | 1267.26i | −0.215882 | + | 1.50149i | ||||
\(845\) | 953.864 | − | 826.528i | 1.12883 | − | 0.978139i | ||||
\(846\) | −627.882 | + | 465.392i | −0.742178 | + | 0.550109i | ||||
\(847\) | −1767.81 | − | 2040.16i | −2.08714 | − | 2.40869i | ||||
\(848\) | 165.843 | − | 258.056i | 0.195569 | − | 0.304312i | ||||
\(849\) | −623.031 | + | 577.307i | −0.733841 | + | 0.679985i | ||||
\(850\) | −170.400 | + | 1185.16i | −0.200470 | + | 1.39430i | ||||
\(851\) | −626.484 | + | 974.828i | −0.736174 | + | 1.14551i | ||||
\(852\) | −63.4662 | − | 16.3593i | −0.0744909 | − | 0.0192011i | ||||
\(853\) | −332.747 | + | 384.011i | −0.390091 | + | 0.450189i | −0.916495 | − | 0.400046i | \(-0.868994\pi\) |
0.526405 | + | 0.850234i | \(0.323540\pi\) | |||||||
\(854\) | 1584.11 | − | 1372.64i | 1.85493 | − | 1.60731i | ||||
\(855\) | −1212.87 | + | 654.824i | −1.41857 | + | 0.765876i | ||||
\(856\) | −27.3927 | + | 59.9816i | −0.0320008 | + | 0.0700720i | ||||
\(857\) | 766.465 | + | 664.146i | 0.894359 | + | 0.774966i | 0.975099 | − | 0.221769i | \(-0.0711831\pi\) |
−0.0807406 | + | 0.996735i | \(0.525729\pi\) | |||||||
\(858\) | 366.248 | − | 182.245i | 0.426863 | − | 0.212407i | ||||
\(859\) | −261.120 | + | 76.6716i | −0.303981 | + | 0.0892569i | −0.430166 | − | 0.902750i | \(-0.641545\pi\) |
0.126185 | + | 0.992007i | \(0.459727\pi\) | |||||||
\(860\) | 2213.50 | − | 318.253i | 2.57384 | − | 0.370062i | ||||
\(861\) | −1232.62 | − | 1330.24i | −1.43161 | − | 1.54500i | ||||
\(862\) | −831.565 | − | 1820.87i | −0.964692 | − | 2.11238i | ||||
\(863\) | 164.267 | − | 559.442i | 0.190344 | − | 0.648252i | −0.807917 | − | 0.589297i | \(-0.799405\pi\) |
0.998261 | − | 0.0589553i | \(-0.0187770\pi\) | |||||||
\(864\) | 694.192 | − | 984.783i | 0.803463 | − | 1.13980i | ||||
\(865\) | 164.831 | − | 1146.42i | 0.190555 | − | 1.32534i | ||||
\(866\) | 469.606 | − | 67.5191i | 0.542270 | − | 0.0779667i | ||||
\(867\) | −212.265 | + | 355.826i | −0.244827 | + | 0.410410i | ||||
\(868\) | −296.628 | − | 190.631i | −0.341737 | − | 0.219621i | ||||
\(869\) | 1268.05 | − | 579.101i | 1.45921 | − | 0.666399i | ||||
\(870\) | −215.278 | − | 1209.63i | −0.247446 | − | 1.39038i | ||||
\(871\) | −158.606 | − | 35.4934i | −0.182096 | − | 0.0407501i | ||||
\(872\) | 100.061i | 0.114749i | ||||||||
\(873\) | −313.774 | − | 316.767i | −0.359420 | − | 0.362849i | ||||
\(874\) | −1128.25 | − | 725.083i | −1.29090 | − | 0.829614i | ||||
\(875\) | 549.823 | + | 476.424i | 0.628369 | + | 0.544485i | ||||
\(876\) | −4.00976 | − | 12.1435i | −0.00457735 | − | 0.0138625i | ||||
\(877\) | −195.188 | + | 1357.56i | −0.222563 | + | 1.54796i | 0.505729 | + | 0.862692i | \(0.331224\pi\) |
−0.728292 | + | 0.685267i | \(0.759685\pi\) | |||||||
\(878\) | 969.585 | − | 442.794i | 1.10431 | − | 0.504322i | ||||
\(879\) | −41.5551 | + | 378.073i | −0.0472754 | + | 0.430117i | ||||
\(880\) | −1080.42 | − | 2365.79i | −1.22775 | − | 2.68840i | ||||
\(881\) | 336.670 | + | 523.869i | 0.382145 | + | 0.594629i | 0.978036 | − | 0.208436i | \(-0.0668373\pi\) |
−0.595891 | + | 0.803065i | \(0.703201\pi\) | |||||||
\(882\) | 923.143 | − | 498.400i | 1.04665 | − | 0.565079i | ||||
\(883\) | −567.315 | + | 166.579i | −0.642486 | + | 0.188651i | −0.586716 | − | 0.809793i | \(-0.699579\pi\) |
−0.0557697 | + | 0.998444i | \(0.517761\pi\) | |||||||
\(884\) | 32.0094 | + | 109.014i | 0.0362097 | + | 0.123319i | ||||
\(885\) | 383.383 | − | 642.676i | 0.433201 | − | 0.726188i | ||||
\(886\) | −359.989 | + | 788.266i | −0.406308 | + | 0.889690i | ||||
\(887\) | −252.757 | + | 36.3410i | −0.284957 | + | 0.0409707i | −0.283311 | − | 0.959028i | \(-0.591433\pi\) |
−0.00164583 | + | 0.999999i | \(0.500524\pi\) | |||||||
\(888\) | 47.1970 | − | 58.2842i | 0.0531497 | − | 0.0656353i | ||||
\(889\) | −431.891 | + | 498.428i | −0.485816 | + | 0.560662i | ||||
\(890\) | 198.322 | + | 90.5706i | 0.222834 | + | 0.101765i | ||||
\(891\) | 216.510 | + | 1614.53i | 0.242996 | + | 1.81205i | ||||
\(892\) | 96.6493 | − | 672.211i | 0.108351 | − | 0.753600i | ||||
\(893\) | −332.448 | − | 517.299i | −0.372282 | − | 0.579282i | ||||
\(894\) | 926.350 | + | 386.285i | 1.03619 | + | 0.432086i | ||||
\(895\) | −1186.75 | − | 1369.58i | −1.32597 | − | 1.53026i | ||||
\(896\) | −44.8553 | − | 152.763i | −0.0500617 | − | 0.170494i | ||||
\(897\) | 111.023 | − | 137.104i | 0.123771 | − | 0.152847i | ||||
\(898\) | 176.831 | − | 1229.89i | 0.196917 | − | 1.36959i | ||||
\(899\) | 51.8012 | − | 176.419i | 0.0576209 | − | 0.196239i | ||||
\(900\) | 1123.20 | − | 412.870i | 1.24800 | − | 0.458745i | ||||
\(901\) | −225.452 | −0.250224 | ||||||||
\(902\) | −1005.24 | + | 3423.52i | −1.11445 | + | 3.79548i | ||||
\(903\) | −1588.52 | + | 1471.94i | −1.75916 | + | 1.63006i | ||||
\(904\) | −3.19333 | + | 6.99241i | −0.00353244 | + | 0.00773497i | ||||
\(905\) | −1325.73 | − | 605.443i | −1.46490 | − | 0.668998i | ||||
\(906\) | −1549.30 | − | 1672.01i | −1.71004 | − | 1.84548i | ||||
\(907\) | 1171.86 | + | 344.090i | 1.29202 | + | 0.379371i | 0.854319 | − | 0.519749i | \(-0.173974\pi\) |
0.437701 | + | 0.899120i | \(0.355793\pi\) | |||||||
\(908\) | − | 1488.68i | − | 1.63952i | ||||||
\(909\) | 248.250 | + | 675.357i | 0.273102 | + | 0.742967i | ||||
\(910\) | 479.431 | + | 140.774i | 0.526848 | + | 0.154696i | ||||
\(911\) | 1193.91 | + | 171.659i | 1.31055 | + | 0.188429i | 0.761939 | − | 0.647649i | \(-0.224248\pi\) |
0.548611 | + | 0.836077i | \(0.315157\pi\) | |||||||
\(912\) | 771.251 | + | 624.539i | 0.845670 | + | 0.684801i | ||||
\(913\) | −1238.02 | + | 363.516i | −1.35599 | + | 0.398155i | ||||
\(914\) | 1617.82 | − | 1401.85i | 1.77004 | − | 1.53375i | ||||
\(915\) | −703.472 | + | 1686.99i | −0.768821 | + | 1.84371i | ||||
\(916\) | 491.561 | − | 315.907i | 0.536639 | − | 0.344877i | ||||
\(917\) | 795.698 | + | 114.404i | 0.867719 | + | 0.124759i | ||||
\(918\) | −926.195 | − | 39.6845i | −1.00893 | − | 0.0432293i | ||||
\(919\) | −590.079 | + | 1292.09i | −0.642088 | + | 1.40598i | 0.256223 | + | 0.966618i | \(0.417522\pi\) |
−0.898311 | + | 0.439360i | \(0.855205\pi\) | |||||||
\(920\) | −74.1397 | − | 64.2424i | −0.0805866 | − | 0.0698287i | ||||
\(921\) | −802.747 | − | 650.043i | −0.871604 | − | 0.705802i | ||||
\(922\) | 40.5207 | + | 281.827i | 0.0439487 | + | 0.305670i | ||||
\(923\) | 12.6432 | + | 5.77394i | 0.0136979 | + | 0.00625563i | ||||
\(924\) | −1881.53 | − | 1122.41i | −2.03629 | − | 1.21473i | ||||
\(925\) | 1599.40 | − | 469.625i | 1.72908 | − | 0.507703i | ||||
\(926\) | 496.781 | + | 1691.88i | 0.536480 | + | 1.82708i | ||||
\(927\) | −84.2938 | − | 156.130i | −0.0909318 | − | 0.168425i | ||||
\(928\) | −710.862 | + | 456.843i | −0.766015 | + | 0.492288i | ||||
\(929\) | −1140.46 | + | 520.829i | −1.22762 | + | 0.560634i | −0.920390 | − | 0.391002i | \(-0.872129\pi\) |
−0.307228 | + | 0.951636i | \(0.599401\pi\) | |||||||
\(930\) | 626.257 | + | 68.8336i | 0.673394 | + | 0.0740146i | ||||
\(931\) | 342.888 | + | 750.819i | 0.368300 | + | 0.806465i | ||||
\(932\) | 633.148 | + | 91.0329i | 0.679343 | + | 0.0976748i | ||||
\(933\) | 812.301 | − | 268.220i | 0.870634 | − | 0.287481i | ||||
\(934\) | 1063.86 | − | 1227.76i | 1.13903 | − | 1.31452i | ||||
\(935\) | −1033.44 | + | 1608.06i | −1.10528 | + | 1.71985i | ||||
\(936\) | −8.11196 | + | 8.03531i | −0.00866663 | + | 0.00858473i | ||||
\(937\) | 294.156 | 0.313934 | 0.156967 | − | 0.987604i | \(-0.449828\pi\) | ||||
0.156967 | + | 0.987604i | \(0.449828\pi\) | |||||||
\(938\) | 613.330 | + | 1674.80i | 0.653869 | + | 1.78550i | ||||
\(939\) | 885.422 | − | 157.579i | 0.942941 | − | 0.167815i | ||||
\(940\) | 380.768 | + | 833.766i | 0.405072 | + | 0.886985i | ||||
\(941\) | 181.888 | − | 283.023i | 0.193292 | − | 0.300769i | −0.731057 | − | 0.682317i | \(-0.760973\pi\) |
0.924349 | + | 0.381548i | \(0.124609\pi\) | |||||||
\(942\) | −1009.49 | − | 602.202i | −1.07164 | − | 0.639280i | ||||
\(943\) | 218.983 | + | 1523.06i | 0.232220 | + | 1.61513i | ||||
\(944\) | −533.319 | − | 76.6798i | −0.564957 | − | 0.0812286i | ||||
\(945\) | −1146.38 | + | 1626.26i | −1.21310 | + | 1.72091i | ||||
\(946\) | 4088.22 | + | 1200.41i | 4.32159 | + | 1.26893i | ||||
\(947\) | 337.413 | − | 154.092i | 0.356297 | − | 0.162715i | −0.229222 | − | 0.973374i | \(-0.573618\pi\) |
0.585519 | + | 0.810659i | \(0.300891\pi\) | |||||||
\(948\) | 581.597 | − | 538.914i | 0.613499 | − | 0.568475i | ||||
\(949\) | 0.385963 | + | 2.68443i | 0.000406705 | + | 0.00282869i | ||||
\(950\) | 543.537 | + | 1851.12i | 0.572144 | + | 1.94854i | ||||
\(951\) | 500.877 | + | 1006.59i | 0.526684 | + | 1.05845i | ||||
\(952\) | −40.0665 | + | 46.2392i | −0.0420867 | + | 0.0485706i | ||||
\(953\) | −1274.22 | − | 581.917i | −1.33706 | − | 0.610616i | −0.386828 | − | 0.922152i | \(-0.626429\pi\) |
−0.950234 | + | 0.311536i | \(0.899157\pi\) | |||||||
\(954\) | 219.349 | + | 406.281i | 0.229925 | + | 0.425871i | ||||
\(955\) | 144.872 | + | 167.191i | 0.151699 | + | 0.175070i | ||||
\(956\) | 149.167 | + | 129.254i | 0.156032 | + | 0.135202i | ||||
\(957\) | 285.162 | − | 1106.29i | 0.297975 | − | 1.15600i | ||||
\(958\) | −1446.74 | − | 929.761i | −1.51016 | − | 0.970523i | ||||
\(959\) | −260.189 | − | 37.4095i | −0.271313 | − | 0.0390089i | ||||
\(960\) | −913.188 | − | 985.514i | −0.951238 | − | 1.02658i | ||||
\(961\) | −729.128 | − | 468.582i | −0.758718 | − | 0.487598i | ||||
\(962\) | 244.947 | − | 212.248i | 0.254622 | − | 0.220632i | ||||
\(963\) | −675.715 | − | 911.639i | −0.701677 | − | 0.946666i | ||||
\(964\) | −806.518 | − | 930.772i | −0.836637 | − | 0.965531i | ||||
\(965\) | −607.584 | − | 87.3573i | −0.629620 | − | 0.0905257i | ||||
\(966\) | −1924.41 | − | 211.517i | −1.99215 | − | 0.218962i | ||||
\(967\) | −955.925 | −0.988547 | −0.494274 | − | 0.869306i | \(-0.664566\pi\) | ||||
−0.494274 | + | 0.869306i | \(0.664566\pi\) | |||||||
\(968\) | − | 148.241i | − | 0.153141i | ||||||
\(969\) | 79.6888 | − | 725.018i | 0.0822382 | − | 0.748213i | ||||
\(970\) | −901.378 | + | 579.280i | −0.929256 | + | 0.597196i | ||||
\(971\) | 544.134 | + | 248.498i | 0.560386 | + | 0.255919i | 0.675409 | − | 0.737443i | \(-0.263967\pi\) |
−0.115024 | + | 0.993363i | \(0.536694\pi\) | |||||||
\(972\) | 404.870 | + | 833.393i | 0.416533 | + | 0.857400i | ||||
\(973\) | 223.221 | − | 143.455i | 0.229415 | − | 0.147436i | ||||
\(974\) | −125.299 | + | 426.729i | −0.128644 | + | 0.438120i | ||||
\(975\) | −249.854 | + | 44.4666i | −0.256261 | + | 0.0456067i | ||||
\(976\) | 1316.00 | 1.34836 | ||||||||
\(977\) | 226.359 | − | 770.909i | 0.231688 | − | 0.789057i | −0.758784 | − | 0.651343i | \(-0.774206\pi\) |
0.990472 | − | 0.137715i | \(-0.0439757\pi\) | |||||||
\(978\) | −72.4749 | + | 2.41622i | −0.0741052 | + | 0.00247057i | ||||
\(979\) | 132.760 | + | 153.213i | 0.135608 | + | 0.156500i | ||||
\(980\) | −346.633 | − | 1180.52i | −0.353707 | − | 1.20462i | ||||
\(981\) | −1507.36 | − | 832.397i | −1.53656 | − | 0.848519i | ||||
\(982\) | −1672.67 | − | 1074.96i | −1.70333 | − | 1.09466i | ||||
\(983\) | 848.588 | + | 1320.43i | 0.863264 | + | 1.34326i | 0.938206 | + | 0.346077i | \(0.112486\pi\) |
−0.0749427 | + | 0.997188i | \(0.523877\pi\) | |||||||
\(984\) | −3.31828 | − | 99.5324i | −0.00337224 | − | 0.101151i | ||||
\(985\) | −924.428 | − | 594.094i | −0.938505 | − | 0.603141i | ||||
\(986\) | 591.407 | + | 270.086i | 0.599804 | + | 0.273921i | ||||
\(987\) | −762.314 | − | 454.752i | −0.772355 | − | 0.460742i | ||||
\(988\) | 119.885 | + | 138.354i | 0.121341 | + | 0.140035i | ||||
\(989\) | 1818.78 | − | 261.501i | 1.83901 | − | 0.264409i | ||||
\(990\) | 3903.31 | + | 297.801i | 3.94274 | + | 0.300809i | ||||
\(991\) | −749.879 | + | 865.407i | −0.756690 | + | 0.873266i | −0.995199 | − | 0.0978740i | \(-0.968796\pi\) |
0.238509 | + | 0.971140i | \(0.423341\pi\) | |||||||
\(992\) | −122.076 | − | 415.754i | −0.123061 | − | 0.419106i | ||||
\(993\) | 0.640281 | − | 0.318603i | 0.000644794 | − | 0.000320849i | ||||
\(994\) | −21.7071 | − | 150.976i | −0.0218381 | − | 0.151887i | ||||
\(995\) | 698.200 | + | 1086.42i | 0.701708 | + | 1.09188i | ||||
\(996\) | −603.823 | + | 417.121i | −0.606248 | + | 0.418796i | ||||
\(997\) | 1365.72 | + | 401.011i | 1.36983 | + | 0.402218i | 0.882217 | − | 0.470843i | \(-0.156050\pi\) |
0.487612 | + | 0.873061i | \(0.337868\pi\) | |||||||
\(998\) | 406.503 | − | 185.644i | 0.407317 | − | 0.186016i | ||||
\(999\) | 485.394 | + | 1195.86i | 0.485880 | + | 1.19706i |
(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 | 201.3.k.a.14.9 | ✓ | 440 | |
3.2 | odd | 2 | inner | 201.3.k.a.14.36 | yes | 440 | |
67.24 | even | 11 | inner | 201.3.k.a.158.36 | yes | 440 | |
201.158 | odd | 22 | inner | 201.3.k.a.158.9 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.k.a.14.9 | ✓ | 440 | 1.1 | even | 1 | trivial | |
201.3.k.a.14.36 | yes | 440 | 3.2 | odd | 2 | inner | |
201.3.k.a.158.9 | yes | 440 | 201.158 | odd | 22 | inner | |
201.3.k.a.158.36 | yes | 440 | 67.24 | even | 11 | inner |