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 | 14.17 | ||
Character | \(\chi\) | \(=\) | 201.14 |
Dual form | 201.3.k.a.158.17 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07136 | + | 0.489273i | −0.535679 | + | 0.244636i | −0.664838 | − | 0.746987i | \(-0.731499\pi\) |
0.129159 | + | 0.991624i | \(0.458772\pi\) | |||||||
\(3\) | 0.834932 | + | 2.88147i | 0.278311 | + | 0.960491i | ||||
\(4\) | −1.71102 | + | 1.97463i | −0.427756 | + | 0.493656i | ||||
\(5\) | −3.10066 | + | 0.445807i | −0.620131 | + | 0.0891614i | −0.445218 | − | 0.895422i | \(-0.646874\pi\) |
−0.174914 | + | 0.984584i | \(0.555965\pi\) | |||||||
\(6\) | −2.30434 | − | 2.67858i | −0.384056 | − | 0.446430i | ||||
\(7\) | −2.88988 | − | 6.32795i | −0.412840 | − | 0.903993i | −0.995805 | − | 0.0914960i | \(-0.970835\pi\) |
0.582966 | − | 0.812497i | \(-0.301892\pi\) | |||||||
\(8\) | 2.19428 | − | 7.47302i | 0.274285 | − | 0.934128i | ||||
\(9\) | −7.60578 | + | 4.81167i | −0.845086 | + | 0.534630i | ||||
\(10\) | 3.10379 | − | 1.99469i | 0.310379 | − | 0.199469i | ||||
\(11\) | −14.0186 | + | 2.01557i | −1.27442 | + | 0.183233i | −0.746111 | − | 0.665821i | \(-0.768081\pi\) |
−0.528305 | + | 0.849055i | \(0.677172\pi\) | |||||||
\(12\) | −7.11842 | − | 3.28159i | −0.593201 | − | 0.273466i | ||||
\(13\) | 18.0465 | − | 5.29892i | 1.38819 | − | 0.407609i | 0.499578 | − | 0.866269i | \(-0.333489\pi\) |
0.888612 | + | 0.458660i | \(0.151670\pi\) | |||||||
\(14\) | 6.19219 | + | 5.36556i | 0.442299 | + | 0.383254i | ||||
\(15\) | −3.87342 | − | 8.56224i | −0.258228 | − | 0.570816i | ||||
\(16\) | −0.181872 | − | 1.26495i | −0.0113670 | − | 0.0790594i | ||||
\(17\) | 12.6691 | − | 10.9778i | 0.745238 | − | 0.645753i | −0.197112 | − | 0.980381i | \(-0.563156\pi\) |
0.942350 | + | 0.334628i | \(0.108611\pi\) | |||||||
\(18\) | 5.79430 | − | 8.87632i | 0.321905 | − | 0.493129i | ||||
\(19\) | −6.46740 | + | 14.1616i | −0.340390 | + | 0.745349i | −0.999980 | − | 0.00627574i | \(-0.998002\pi\) |
0.659591 | + | 0.751625i | \(0.270730\pi\) | |||||||
\(20\) | 4.42499 | − | 6.88542i | 0.221250 | − | 0.344271i | ||||
\(21\) | 15.8210 | − | 13.6105i | 0.753379 | − | 0.648120i | ||||
\(22\) | 14.0328 | − | 9.01830i | 0.637852 | − | 0.409923i | ||||
\(23\) | 5.69560 | − | 8.86252i | 0.247635 | − | 0.385327i | −0.695077 | − | 0.718935i | \(-0.744630\pi\) |
0.942712 | + | 0.333608i | \(0.108266\pi\) | |||||||
\(24\) | 23.3654 | + | 0.0832895i | 0.973558 | + | 0.00347039i | ||||
\(25\) | −14.5720 | + | 4.27872i | −0.582880 | + | 0.171149i | ||||
\(26\) | −16.7416 | + | 14.5067i | −0.643908 | + | 0.557950i | ||||
\(27\) | −20.2150 | − | 17.8984i | −0.748703 | − | 0.662905i | ||||
\(28\) | 17.4400 | + | 5.12084i | 0.622856 | + | 0.182887i | ||||
\(29\) | − | 11.0751i | − | 0.381899i | −0.981600 | − | 0.190950i | \(-0.938843\pi\) | ||
0.981600 | − | 0.190950i | \(-0.0611567\pi\) | |||||||
\(30\) | 8.33909 | + | 7.27807i | 0.277970 | + | 0.242602i | ||||
\(31\) | −44.3459 | − | 13.0211i | −1.43051 | − | 0.420036i | −0.527465 | − | 0.849577i | \(-0.676857\pi\) |
−0.903048 | + | 0.429541i | \(0.858675\pi\) | |||||||
\(32\) | 17.6569 | + | 27.4747i | 0.551778 | + | 0.858584i | ||||
\(33\) | −17.5124 | − | 38.7113i | −0.530677 | − | 1.17307i | ||||
\(34\) | −8.20196 | + | 17.9598i | −0.241234 | + | 0.528229i | ||||
\(35\) | 11.7816 | + | 18.3325i | 0.336616 | + | 0.523785i | ||||
\(36\) | 3.51242 | − | 23.2514i | 0.0975672 | − | 0.645873i | ||||
\(37\) | −36.2777 | −0.980478 | −0.490239 | − | 0.871588i | \(-0.663090\pi\) | ||||
−0.490239 | + | 0.871588i | \(0.663090\pi\) | |||||||
\(38\) | − | 18.3365i | − | 0.482540i | ||||||
\(39\) | 30.3363 | + | 47.5762i | 0.777853 | + | 1.21990i | ||||
\(40\) | −3.47218 | + | 24.1495i | −0.0868044 | + | 0.603738i | ||||
\(41\) | −36.8922 | + | 31.9673i | −0.899809 | + | 0.779689i | −0.976083 | − | 0.217398i | \(-0.930243\pi\) |
0.0762737 | + | 0.997087i | \(0.475698\pi\) | |||||||
\(42\) | −10.2907 | + | 22.3225i | −0.245016 | + | 0.531488i | ||||
\(43\) | −53.5804 | − | 61.8350i | −1.24606 | − | 1.43802i | −0.855791 | − | 0.517321i | \(-0.826929\pi\) |
−0.390264 | − | 0.920703i | \(-0.627616\pi\) | |||||||
\(44\) | 20.0061 | − | 31.1301i | 0.454684 | − | 0.707503i | ||||
\(45\) | 21.4378 | − | 18.3100i | 0.476396 | − | 0.406890i | ||||
\(46\) | −1.76583 | + | 12.2816i | −0.0383877 | + | 0.266992i | ||||
\(47\) | 34.2391 | − | 53.2770i | 0.728491 | − | 1.13355i | −0.257423 | − | 0.966299i | \(-0.582873\pi\) |
0.985914 | − | 0.167255i | \(-0.0534904\pi\) | |||||||
\(48\) | 3.49307 | − | 1.58021i | 0.0727723 | − | 0.0329210i | ||||
\(49\) | 0.396630 | − | 0.457736i | 0.00809450 | − | 0.00934155i | ||||
\(50\) | 13.5184 | − | 11.7137i | 0.270367 | − | 0.234275i | ||||
\(51\) | 42.2100 | + | 27.3398i | 0.827647 | + | 0.536075i | ||||
\(52\) | −20.4145 | + | 44.7016i | −0.392587 | + | 0.859646i | ||||
\(53\) | −11.1364 | − | 9.64973i | −0.210120 | − | 0.182070i | 0.543442 | − | 0.839447i | \(-0.317121\pi\) |
−0.753562 | + | 0.657376i | \(0.771666\pi\) | |||||||
\(54\) | 30.4147 | + | 9.28499i | 0.563236 | + | 0.171944i | ||||
\(55\) | 42.5682 | − | 12.4992i | 0.773968 | − | 0.227257i | ||||
\(56\) | −53.6301 | + | 7.71085i | −0.957681 | + | 0.137694i | ||||
\(57\) | −46.2062 | − | 6.81165i | −0.810635 | − | 0.119503i | ||||
\(58\) | 5.41874 | + | 11.8654i | 0.0934265 | + | 0.204575i | ||||
\(59\) | −21.9006 | + | 74.5866i | −0.371197 | + | 1.26418i | 0.536267 | + | 0.844049i | \(0.319834\pi\) |
−0.907463 | + | 0.420131i | \(0.861984\pi\) | |||||||
\(60\) | 23.5347 | + | 7.00164i | 0.392245 | + | 0.116694i | ||||
\(61\) | −8.86818 | + | 61.6795i | −0.145380 | + | 1.01114i | 0.778277 | + | 0.627921i | \(0.216094\pi\) |
−0.923657 | + | 0.383219i | \(0.874815\pi\) | |||||||
\(62\) | 53.8812 | − | 7.74695i | 0.869052 | − | 0.124951i | ||||
\(63\) | 52.4277 | + | 34.2239i | 0.832186 | + | 0.543236i | ||||
\(64\) | −28.0591 | − | 18.0325i | −0.438424 | − | 0.281758i | ||||
\(65\) | −53.5936 | + | 24.4754i | −0.824517 | + | 0.376544i | ||||
\(66\) | 37.7024 | + | 32.9053i | 0.571248 | + | 0.498566i | ||||
\(67\) | 15.7827 | + | 65.1146i | 0.235563 | + | 0.971859i | ||||
\(68\) | 43.7999i | 0.644116i | ||||||||
\(69\) | 30.2926 | + | 9.01211i | 0.439022 | + | 0.130610i | ||||
\(70\) | −21.5919 | − | 13.8762i | −0.308455 | − | 0.198232i | ||||
\(71\) | −57.4202 | − | 49.7549i | −0.808735 | − | 0.700773i | 0.148870 | − | 0.988857i | \(-0.452436\pi\) |
−0.957605 | + | 0.288084i | \(0.906982\pi\) | |||||||
\(72\) | 19.2685 | + | 67.3963i | 0.267618 | + | 0.936060i | ||||
\(73\) | −6.70035 | + | 46.6020i | −0.0917857 | + | 0.638383i | 0.891051 | + | 0.453904i | \(0.149969\pi\) |
−0.982836 | + | 0.184480i | \(0.940940\pi\) | |||||||
\(74\) | 38.8664 | − | 17.7497i | 0.525221 | − | 0.239861i | ||||
\(75\) | −24.4956 | − | 38.4164i | −0.326609 | − | 0.512218i | ||||
\(76\) | −16.8981 | − | 37.0016i | −0.222343 | − | 0.486863i | ||||
\(77\) | 53.2664 | + | 82.8841i | 0.691771 | + | 1.07642i | ||||
\(78\) | −55.7787 | − | 36.1284i | −0.715112 | − | 0.463185i | ||||
\(79\) | −79.5693 | + | 23.3637i | −1.00721 | + | 0.295743i | −0.743410 | − | 0.668836i | \(-0.766793\pi\) |
−0.263797 | + | 0.964578i | \(0.584975\pi\) | |||||||
\(80\) | 1.12785 | + | 3.84110i | 0.0140981 | + | 0.0480137i | ||||
\(81\) | 34.6957 | − | 73.1929i | 0.428342 | − | 0.903617i | ||||
\(82\) | 23.8840 | − | 52.2987i | 0.291269 | − | 0.637789i | ||||
\(83\) | 79.6924 | − | 11.4580i | 0.960149 | − | 0.138049i | 0.355619 | − | 0.934631i | \(-0.384270\pi\) |
0.604530 | + | 0.796582i | \(0.293361\pi\) | |||||||
\(84\) | −0.194375 | + | 54.5284i | −0.00231398 | + | 0.649147i | ||||
\(85\) | −34.3884 | + | 39.6863i | −0.404569 | + | 0.466898i | ||||
\(86\) | 87.6580 | + | 40.0321i | 1.01928 | + | 0.465489i | ||||
\(87\) | 31.9125 | − | 9.24693i | 0.366811 | − | 0.106287i | ||||
\(88\) | −15.6983 | + | 109.184i | −0.178389 | + | 1.24073i | ||||
\(89\) | 5.96776 | + | 9.28602i | 0.0670535 | + | 0.104337i | 0.873161 | − | 0.487432i | \(-0.162066\pi\) |
−0.806108 | + | 0.591769i | \(0.798430\pi\) | |||||||
\(90\) | −14.0090 | + | 30.1056i | −0.155655 | + | 0.334506i | ||||
\(91\) | −85.6834 | − | 98.8839i | −0.941575 | − | 1.08664i | ||||
\(92\) | 7.75486 | + | 26.4106i | 0.0842920 | + | 0.287072i | ||||
\(93\) | 0.494250 | − | 138.653i | 0.00531452 | − | 1.49089i | ||||
\(94\) | −10.6153 | + | 73.8311i | −0.112929 | + | 0.785437i | ||||
\(95\) | 13.7398 | − | 46.7936i | 0.144630 | − | 0.492564i | ||||
\(96\) | −64.4253 | + | 73.8174i | −0.671097 | + | 0.768931i | ||||
\(97\) | 10.1703 | 0.104848 | 0.0524242 | − | 0.998625i | \(-0.483305\pi\) | ||||
0.0524242 | + | 0.998625i | \(0.483305\pi\) | |||||||
\(98\) | −0.200975 | + | 0.684459i | −0.00205077 | + | 0.00698428i | ||||
\(99\) | 96.9239 | − | 82.7827i | 0.979030 | − | 0.836188i | ||||
\(100\) | 16.4841 | − | 36.0952i | 0.164841 | − | 0.360952i | ||||
\(101\) | 83.6333 | + | 38.1940i | 0.828052 | + | 0.378159i | 0.783916 | − | 0.620867i | \(-0.213219\pi\) |
0.0441360 | + | 0.999026i | \(0.485947\pi\) | |||||||
\(102\) | −58.5987 | − | 8.63853i | −0.574497 | − | 0.0846915i | ||||
\(103\) | 149.475 | + | 43.8898i | 1.45121 | + | 0.426115i | 0.909943 | − | 0.414733i | \(-0.136125\pi\) |
0.541271 | + | 0.840848i | \(0.317943\pi\) | |||||||
\(104\) | − | 146.489i | − | 1.40855i | ||||||
\(105\) | −42.9877 | + | 49.2546i | −0.409407 | + | 0.469092i | ||||
\(106\) | 16.6524 | + | 4.88959i | 0.157098 | + | 0.0461282i | ||||
\(107\) | −134.482 | − | 19.3356i | −1.25684 | − | 0.180707i | −0.518469 | − | 0.855096i | \(-0.673498\pi\) |
−0.738376 | + | 0.674389i | \(0.764407\pi\) | |||||||
\(108\) | 69.9310 | − | 9.29241i | 0.647509 | − | 0.0860408i | ||||
\(109\) | 39.0668 | − | 11.4711i | 0.358411 | − | 0.105239i | −0.0975693 | − | 0.995229i | \(-0.531107\pi\) |
0.455981 | + | 0.889990i | \(0.349289\pi\) | |||||||
\(110\) | −39.4903 | + | 34.2186i | −0.359003 | + | 0.311078i | ||||
\(111\) | −30.2894 | − | 104.533i | −0.272877 | − | 0.941740i | ||||
\(112\) | −7.47895 | + | 4.80643i | −0.0667763 | + | 0.0429145i | ||||
\(113\) | −207.413 | − | 29.8215i | −1.83551 | − | 0.263907i | −0.864449 | − | 0.502721i | \(-0.832332\pi\) |
−0.971065 | + | 0.238814i | \(0.923241\pi\) | |||||||
\(114\) | 52.8362 | − | 15.3097i | 0.463475 | − | 0.134296i | ||||
\(115\) | −13.7091 | + | 30.0188i | −0.119210 | + | 0.261033i | ||||
\(116\) | 21.8691 | + | 18.9497i | 0.188527 | + | 0.163360i | ||||
\(117\) | −111.761 | + | 127.136i | −0.955220 | + | 1.08663i | ||||
\(118\) | −13.0298 | − | 90.6243i | −0.110422 | − | 0.768003i | ||||
\(119\) | −106.079 | − | 48.4446i | −0.891420 | − | 0.407098i | ||||
\(120\) | −72.4852 | + | 10.1582i | −0.604043 | + | 0.0846517i | ||||
\(121\) | 76.3593 | − | 22.4211i | 0.631068 | − | 0.185298i | ||||
\(122\) | −20.6771 | − | 70.4198i | −0.169485 | − | 0.577212i | ||||
\(123\) | −122.915 | − | 79.6134i | −0.999311 | − | 0.647263i | ||||
\(124\) | 101.589 | − | 65.2871i | 0.819263 | − | 0.526509i | ||||
\(125\) | 114.512 | − | 52.2958i | 0.916094 | − | 0.418366i | ||||
\(126\) | −72.9137 | − | 11.0145i | −0.578680 | − | 0.0874169i | ||||
\(127\) | −52.9963 | − | 116.046i | −0.417293 | − | 0.913745i | −0.995220 | − | 0.0976565i | \(-0.968865\pi\) |
0.577927 | − | 0.816089i | \(-0.303862\pi\) | |||||||
\(128\) | −90.4230 | − | 13.0009i | −0.706430 | − | 0.101569i | ||||
\(129\) | 133.440 | − | 206.018i | 1.03442 | − | 1.59704i | ||||
\(130\) | 45.4428 | − | 52.4438i | 0.349560 | − | 0.403414i | ||||
\(131\) | −23.3430 | + | 36.3225i | −0.178191 | + | 0.277271i | −0.918847 | − | 0.394614i | \(-0.870878\pi\) |
0.740656 | + | 0.671884i | \(0.234515\pi\) | |||||||
\(132\) | 106.404 | + | 31.6556i | 0.806093 | + | 0.239815i | ||||
\(133\) | 108.304 | 0.814317 | ||||||||
\(134\) | −48.7677 | − | 62.0390i | −0.363938 | − | 0.462977i | ||||
\(135\) | 70.6590 | + | 46.4849i | 0.523400 | + | 0.344333i | ||||
\(136\) | −54.2379 | − | 118.764i | −0.398808 | − | 0.873268i | ||||
\(137\) | −40.6843 | + | 63.3060i | −0.296966 | + | 0.462088i | −0.957387 | − | 0.288807i | \(-0.906741\pi\) |
0.660421 | + | 0.750895i | \(0.270378\pi\) | |||||||
\(138\) | −36.8636 | + | 5.16613i | −0.267127 | + | 0.0374357i | ||||
\(139\) | 5.16340 | + | 35.9122i | 0.0371467 | + | 0.258361i | 0.999929 | − | 0.0119170i | \(-0.00379340\pi\) |
−0.962782 | + | 0.270278i | \(0.912884\pi\) | |||||||
\(140\) | −56.3583 | − | 8.10310i | −0.402559 | − | 0.0578793i | ||||
\(141\) | 182.104 | + | 54.1763i | 1.29152 | + | 0.384229i | ||||
\(142\) | 85.8613 | + | 25.2112i | 0.604657 | + | 0.177543i | ||||
\(143\) | −242.305 | + | 110.657i | −1.69444 | + | 0.773826i | ||||
\(144\) | 7.46980 | + | 8.74582i | 0.0518736 | + | 0.0607349i | ||||
\(145\) | 4.93735 | + | 34.3400i | 0.0340507 | + | 0.236828i | ||||
\(146\) | −15.6226 | − | 53.2057i | −0.107004 | − | 0.364423i | ||||
\(147\) | 1.65011 | + | 0.760702i | 0.0112253 | + | 0.00517484i | ||||
\(148\) | 62.0719 | − | 71.6348i | 0.419405 | − | 0.484019i | ||||
\(149\) | 78.8478 | + | 36.0086i | 0.529180 | + | 0.241668i | 0.662043 | − | 0.749466i | \(-0.269690\pi\) |
−0.132863 | + | 0.991134i | \(0.542417\pi\) | |||||||
\(150\) | 45.0397 | + | 29.1726i | 0.300265 | + | 0.194484i | ||||
\(151\) | −64.9100 | − | 74.9101i | −0.429868 | − | 0.496094i | 0.498950 | − | 0.866631i | \(-0.333719\pi\) |
−0.928818 | + | 0.370537i | \(0.879174\pi\) | |||||||
\(152\) | 91.6390 | + | 79.4056i | 0.602888 | + | 0.522405i | ||||
\(153\) | −43.5365 | + | 144.454i | −0.284552 | + | 0.944143i | ||||
\(154\) | −97.6203 | − | 62.7368i | −0.633898 | − | 0.407382i | ||||
\(155\) | 143.306 | + | 20.6043i | 0.924557 | + | 0.132931i | ||||
\(156\) | −145.851 | − | 21.5012i | −0.934943 | − | 0.137828i | ||||
\(157\) | 86.6991 | + | 55.7181i | 0.552224 | + | 0.354893i | 0.786803 | − | 0.617204i | \(-0.211735\pi\) |
−0.234579 | + | 0.972097i | \(0.575371\pi\) | |||||||
\(158\) | 73.8161 | − | 63.9620i | 0.467190 | − | 0.404823i | ||||
\(159\) | 18.5073 | − | 40.1460i | 0.116398 | − | 0.252491i | ||||
\(160\) | −66.9964 | − | 77.3180i | −0.418728 | − | 0.483238i | ||||
\(161\) | −72.5412 | − | 10.4298i | −0.450566 | − | 0.0647816i | ||||
\(162\) | −1.36024 | + | 95.3915i | −0.00839652 | + | 0.588837i | ||||
\(163\) | −135.601 | −0.831907 | −0.415953 | − | 0.909386i | \(-0.636552\pi\) | ||||
−0.415953 | + | 0.909386i | \(0.636552\pi\) | |||||||
\(164\) | − | 127.545i | − | 0.777713i | ||||||
\(165\) | 71.5576 | + | 112.223i | 0.433682 | + | 0.680141i | ||||
\(166\) | −79.7730 | + | 51.2670i | −0.480560 | + | 0.308837i | ||||
\(167\) | 28.3551 | + | 12.9493i | 0.169791 | + | 0.0775409i | 0.498497 | − | 0.866891i | \(-0.333885\pi\) |
−0.328706 | + | 0.944432i | \(0.606613\pi\) | |||||||
\(168\) | −66.9961 | − | 148.096i | −0.398786 | − | 0.881522i | ||||
\(169\) | 155.425 | − | 99.8853i | 0.919672 | − | 0.591037i | ||||
\(170\) | 17.4249 | − | 59.3436i | 0.102499 | − | 0.349080i | ||||
\(171\) | −18.9514 | − | 138.829i | −0.110827 | − | 0.811867i | ||||
\(172\) | 213.778 | 1.24290 | ||||||||
\(173\) | 21.2279 | − | 72.2954i | 0.122704 | − | 0.417893i | −0.875114 | − | 0.483918i | \(-0.839213\pi\) |
0.997818 | + | 0.0660248i | \(0.0210317\pi\) | |||||||
\(174\) | −29.6655 | + | 25.5207i | −0.170491 | + | 0.146671i | ||||
\(175\) | 69.1868 | + | 79.8459i | 0.395353 | + | 0.456262i | ||||
\(176\) | 5.09918 | + | 17.3662i | 0.0289726 | + | 0.0986717i | ||||
\(177\) | −233.205 | − | 0.831294i | −1.31754 | − | 0.00469657i | ||||
\(178\) | −10.9370 | − | 7.02879i | −0.0614439 | − | 0.0394876i | ||||
\(179\) | −8.71419 | − | 13.5596i | −0.0486826 | − | 0.0757517i | 0.816059 | − | 0.577968i | \(-0.196154\pi\) |
−0.864742 | + | 0.502217i | \(0.832518\pi\) | |||||||
\(180\) | −0.525155 | + | 73.6606i | −0.00291753 | + | 0.409225i | ||||
\(181\) | 54.6568 | + | 35.1258i | 0.301971 | + | 0.194065i | 0.682848 | − | 0.730561i | \(-0.260741\pi\) |
−0.380876 | + | 0.924626i | \(0.624378\pi\) | |||||||
\(182\) | 140.179 | + | 64.0175i | 0.770213 | + | 0.351745i | ||||
\(183\) | −185.132 | + | 25.9448i | −1.01165 | + | 0.141775i | ||||
\(184\) | −53.7321 | − | 62.0102i | −0.292022 | − | 0.337012i | ||||
\(185\) | 112.485 | − | 16.1728i | 0.608025 | − | 0.0874208i | ||||
\(186\) | 67.3097 | + | 148.789i | 0.361880 | + | 0.799941i | ||||
\(187\) | −155.476 | + | 179.428i | −0.831420 | + | 0.959510i | ||||
\(188\) | 46.6184 | + | 158.768i | 0.247970 | + | 0.844508i | ||||
\(189\) | −54.8415 | + | 179.644i | −0.290167 | + | 0.950496i | ||||
\(190\) | 8.17455 | + | 56.8552i | 0.0430239 | + | 0.299238i | ||||
\(191\) | 91.4550 | + | 142.307i | 0.478822 | + | 0.745062i | 0.993684 | − | 0.112211i | \(-0.0357933\pi\) |
−0.514862 | + | 0.857273i | \(0.672157\pi\) | |||||||
\(192\) | 28.5328 | − | 95.9076i | 0.148608 | − | 0.499519i | ||||
\(193\) | 264.337 | + | 77.6164i | 1.36962 | + | 0.402157i | 0.882145 | − | 0.470978i | \(-0.156099\pi\) |
0.487477 | + | 0.873136i | \(0.337917\pi\) | |||||||
\(194\) | −10.8960 | + | 4.97605i | −0.0561651 | + | 0.0256497i | ||||
\(195\) | −115.272 | − | 133.993i | −0.591139 | − | 0.687145i | ||||
\(196\) | 0.225213 | + | 1.56639i | 0.00114905 | + | 0.00799180i | ||||
\(197\) | 86.3760 | + | 74.8452i | 0.438457 | + | 0.379925i | 0.845932 | − | 0.533291i | \(-0.179045\pi\) |
−0.407475 | + | 0.913216i | \(0.633591\pi\) | |||||||
\(198\) | −63.3369 | + | 136.112i | −0.319884 | + | 0.687435i | ||||
\(199\) | −82.9720 | − | 181.683i | −0.416945 | − | 0.912982i | −0.995267 | − | 0.0971737i | \(-0.969020\pi\) |
0.578323 | − | 0.815808i | \(-0.303708\pi\) | |||||||
\(200\) | 118.286i | 0.591428i | ||||||||
\(201\) | −174.448 | + | 99.8436i | −0.867903 | + | 0.496735i | ||||
\(202\) | −108.288 | −0.536082 | ||||||||
\(203\) | −70.0825 | + | 32.0056i | −0.345234 | + | 0.157663i | ||||
\(204\) | −126.208 | + | 36.5699i | −0.618668 | + | 0.179264i | ||||
\(205\) | 100.139 | − | 115.566i | 0.488482 | − | 0.563738i | ||||
\(206\) | −181.615 | + | 26.1124i | −0.881629 | + | 0.126759i | ||||
\(207\) | −0.675950 | + | 94.8117i | −0.00326546 | + | 0.458027i | ||||
\(208\) | −9.98502 | − | 21.8641i | −0.0480049 | − | 0.105116i | ||||
\(209\) | 62.1200 | − | 211.561i | 0.297225 | − | 1.01226i | ||||
\(210\) | 21.9563 | − | 73.8021i | 0.104554 | − | 0.351438i | ||||
\(211\) | 167.642 | − | 107.737i | 0.794512 | − | 0.510602i | −0.0793084 | − | 0.996850i | \(-0.525271\pi\) |
0.873821 | + | 0.486248i | \(0.161635\pi\) | |||||||
\(212\) | 38.1092 | − | 5.47928i | 0.179760 | − | 0.0258456i | ||||
\(213\) | 95.4255 | − | 206.997i | 0.448007 | − | 0.971816i | ||||
\(214\) | 153.539 | − | 45.0832i | 0.717473 | − | 0.210669i | ||||
\(215\) | 193.701 | + | 167.843i | 0.900934 | + | 0.780664i | ||||
\(216\) | −178.113 | + | 111.793i | −0.824596 | + | 0.517560i | ||||
\(217\) | 45.7571 | + | 318.248i | 0.210862 | + | 1.46658i | ||||
\(218\) | −36.2421 | + | 31.4040i | −0.166248 | + | 0.144055i | ||||
\(219\) | −139.877 | + | 19.6026i | −0.638707 | + | 0.0895095i | ||||
\(220\) | −48.1541 | + | 105.443i | −0.218882 | + | 0.479285i | ||||
\(221\) | 170.461 | − | 265.243i | 0.771317 | − | 1.20019i | ||||
\(222\) | 83.5960 | + | 97.1727i | 0.376559 | + | 0.437715i | ||||
\(223\) | −122.505 | + | 78.7291i | −0.549349 | + | 0.353045i | −0.785686 | − | 0.618626i | \(-0.787690\pi\) |
0.236337 | + | 0.971671i | \(0.424053\pi\) | |||||||
\(224\) | 122.832 | − | 191.131i | 0.548358 | − | 0.853261i | ||||
\(225\) | 90.2436 | − | 102.659i | 0.401083 | − | 0.456260i | ||||
\(226\) | 236.805 | − | 69.5321i | 1.04781 | − | 0.307664i | ||||
\(227\) | −145.170 | + | 125.791i | −0.639517 | + | 0.554144i | −0.913116 | − | 0.407699i | \(-0.866331\pi\) |
0.273600 | + | 0.961844i | \(0.411786\pi\) | |||||||
\(228\) | 92.5103 | − | 79.5851i | 0.405747 | − | 0.349057i | ||||
\(229\) | −283.089 | − | 83.1224i | −1.23620 | − | 0.362980i | −0.402611 | − | 0.915371i | \(-0.631897\pi\) |
−0.833585 | + | 0.552391i | \(0.813715\pi\) | |||||||
\(230\) | − | 38.8684i | − | 0.168993i | ||||||
\(231\) | −194.355 | + | 222.688i | −0.841362 | + | 0.964018i | ||||
\(232\) | −82.7643 | − | 24.3018i | −0.356743 | − | 0.104749i | ||||
\(233\) | −142.825 | − | 222.240i | −0.612982 | − | 0.953818i | −0.999503 | − | 0.0315377i | \(-0.989960\pi\) |
0.386521 | − | 0.922281i | \(-0.373677\pi\) | |||||||
\(234\) | 57.5316 | − | 190.890i | 0.245862 | − | 0.815768i | ||||
\(235\) | −82.4123 | + | 180.458i | −0.350691 | + | 0.767906i | ||||
\(236\) | −109.808 | − | 170.865i | −0.465289 | − | 0.724004i | ||||
\(237\) | −133.757 | − | 209.770i | −0.564374 | − | 0.885105i | ||||
\(238\) | 137.351 | 0.577106 | ||||||||
\(239\) | 412.584i | 1.72629i | 0.504953 | + | 0.863147i | \(0.331510\pi\) | ||||
−0.504953 | + | 0.863147i | \(0.668490\pi\) | |||||||
\(240\) | −10.1263 | + | 6.45691i | −0.0421931 | + | 0.0269038i | ||||
\(241\) | 7.68845 | − | 53.4743i | 0.0319023 | − | 0.221885i | −0.967633 | − | 0.252361i | \(-0.918793\pi\) |
0.999536 | + | 0.0304755i | \(0.00970215\pi\) | |||||||
\(242\) | −70.8381 | + | 61.3816i | −0.292719 | + | 0.253643i | ||||
\(243\) | 239.872 | + | 38.8637i | 0.987128 | + | 0.159933i | ||||
\(244\) | −106.620 | − | 123.046i | −0.436969 | − | 0.504289i | ||||
\(245\) | −1.02575 | + | 1.59610i | −0.00418675 | + | 0.00651470i | ||||
\(246\) | 170.639 | + | 25.1553i | 0.693654 | + | 0.102257i | ||||
\(247\) | −41.6724 | + | 289.838i | −0.168714 | + | 1.17343i | ||||
\(248\) | −194.614 | + | 302.826i | −0.784735 | + | 1.22107i | ||||
\(249\) | 99.5537 | + | 220.065i | 0.399814 | + | 0.883794i | ||||
\(250\) | −97.0962 | + | 112.055i | −0.388385 | + | 0.448220i | ||||
\(251\) | 296.262 | − | 256.712i | 1.18033 | − | 1.02276i | 0.181099 | − | 0.983465i | \(-0.442035\pi\) |
0.999228 | − | 0.0392939i | \(-0.0125109\pi\) | |||||||
\(252\) | −157.284 | + | 44.9674i | −0.624144 | + | 0.178442i | ||||
\(253\) | −61.9811 | + | 135.720i | −0.244985 | + | 0.536442i | ||||
\(254\) | 113.556 | + | 98.3968i | 0.447071 | + | 0.387389i | ||||
\(255\) | −143.067 | − | 65.9539i | −0.561047 | − | 0.258643i | ||||
\(256\) | 231.248 | − | 67.9005i | 0.903312 | − | 0.265236i | ||||
\(257\) | 297.214 | − | 42.7329i | 1.15648 | − | 0.166276i | 0.462732 | − | 0.886498i | \(-0.346869\pi\) |
0.693743 | + | 0.720222i | \(0.255960\pi\) | |||||||
\(258\) | −42.1629 | + | 286.008i | −0.163422 | + | 1.10856i | ||||
\(259\) | 104.838 | + | 229.563i | 0.404780 | + | 0.886345i | ||||
\(260\) | 43.3702 | − | 147.705i | 0.166808 | − | 0.568097i | ||||
\(261\) | 53.2896 | + | 84.2346i | 0.204175 | + | 0.322738i | ||||
\(262\) | 7.23715 | − | 50.3355i | 0.0276227 | − | 0.192120i | ||||
\(263\) | −135.096 | + | 19.4238i | −0.513671 | + | 0.0738548i | −0.394276 | − | 0.918992i | \(-0.629005\pi\) |
−0.119395 | + | 0.992847i | \(0.538096\pi\) | |||||||
\(264\) | −327.717 | + | 45.9269i | −1.24135 | + | 0.173966i | ||||
\(265\) | 38.8320 | + | 24.9558i | 0.146536 | + | 0.0941729i | ||||
\(266\) | −116.032 | + | 52.9903i | −0.436212 | + | 0.199212i | ||||
\(267\) | −21.7748 | + | 24.9491i | −0.0815534 | + | 0.0934425i | ||||
\(268\) | −155.581 | − | 80.2476i | −0.580528 | − | 0.299431i | ||||
\(269\) | 498.332i | 1.85254i | 0.376864 | + | 0.926268i | \(0.377002\pi\) | ||||
−0.376864 | + | 0.926268i | \(0.622998\pi\) | |||||||
\(270\) | −98.4449 | − | 15.2305i | −0.364611 | − | 0.0564091i | ||||
\(271\) | −194.260 | − | 124.843i | −0.716827 | − | 0.460677i | 0.130705 | − | 0.991421i | \(-0.458276\pi\) |
−0.847532 | + | 0.530745i | \(0.821912\pi\) | |||||||
\(272\) | −16.1905 | − | 14.0292i | −0.0595239 | − | 0.0515778i | ||||
\(273\) | 213.392 | − | 329.456i | 0.781654 | − | 1.20680i | ||||
\(274\) | 12.6136 | − | 87.7292i | 0.0460349 | − | 0.320179i | ||||
\(275\) | 195.655 | − | 89.3524i | 0.711471 | − | 0.324918i | ||||
\(276\) | −69.6268 | + | 44.3965i | −0.252271 | + | 0.160857i | ||||
\(277\) | −24.7106 | − | 54.1088i | −0.0892081 | − | 0.195338i | 0.859769 | − | 0.510683i | \(-0.170607\pi\) |
−0.948977 | + | 0.315344i | \(0.897880\pi\) | |||||||
\(278\) | −23.1027 | − | 35.9485i | −0.0831033 | − | 0.129311i | ||||
\(279\) | 399.938 | − | 114.342i | 1.43347 | − | 0.409827i | ||||
\(280\) | 162.851 | − | 47.8174i | 0.581611 | − | 0.170776i | ||||
\(281\) | −129.793 | − | 442.035i | −0.461898 | − | 1.57308i | −0.780478 | − | 0.625183i | \(-0.785024\pi\) |
0.318580 | − | 0.947896i | \(-0.396794\pi\) | |||||||
\(282\) | −221.605 | + | 31.0562i | −0.785834 | + | 0.110128i | ||||
\(283\) | 94.8727 | − | 207.742i | 0.335239 | − | 0.734072i | −0.664675 | − | 0.747132i | \(-0.731430\pi\) |
0.999915 | + | 0.0130607i | \(0.00415746\pi\) | |||||||
\(284\) | 196.495 | − | 28.2516i | 0.691882 | − | 0.0994776i | ||||
\(285\) | 146.306 | + | 0.521531i | 0.513355 | + | 0.00182993i | ||||
\(286\) | 205.454 | − | 237.107i | 0.718372 | − | 0.829045i | ||||
\(287\) | 308.901 | + | 141.070i | 1.07631 | + | 0.491535i | ||||
\(288\) | −266.494 | − | 124.007i | −0.925325 | − | 0.430581i | ||||
\(289\) | −1.13611 | + | 7.90183i | −0.00393118 | + | 0.0273420i | ||||
\(290\) | −22.0913 | − | 34.3748i | −0.0761769 | − | 0.118534i | ||||
\(291\) | 8.49150 | + | 29.3054i | 0.0291804 | + | 0.100706i | ||||
\(292\) | −80.5570 | − | 92.9677i | −0.275880 | − | 0.318383i | ||||
\(293\) | −37.8235 | − | 128.815i | −0.129090 | − | 0.439642i | 0.869428 | − | 0.494060i | \(-0.164488\pi\) |
−0.998518 | + | 0.0544184i | \(0.982670\pi\) | |||||||
\(294\) | −2.14005 | − | 0.00762854i | −0.00727909 | − | 2.59474e-5i | ||||
\(295\) | 34.6550 | − | 241.031i | 0.117475 | − | 0.817054i | ||||
\(296\) | −79.6033 | + | 271.104i | −0.268930 | + | 0.915892i | ||||
\(297\) | 319.461 | + | 210.166i | 1.07563 | + | 0.707629i | ||||
\(298\) | −102.092 | −0.342591 | ||||||||
\(299\) | 55.8236 | − | 190.118i | 0.186701 | − | 0.635845i | ||||
\(300\) | 117.771 | + | 17.3616i | 0.392569 | + | 0.0578719i | ||||
\(301\) | −236.448 | + | 517.749i | −0.785542 | + | 1.72010i | ||||
\(302\) | 106.193 | + | 48.4969i | 0.351634 | + | 0.160586i | ||||
\(303\) | −40.2270 | + | 272.876i | −0.132762 | + | 0.900582i | ||||
\(304\) | 19.0900 | + | 5.60533i | 0.0627961 | + | 0.0184386i | ||||
\(305\) | − | 195.201i | − | 0.640002i | ||||||
\(306\) | −24.0342 | − | 176.063i | −0.0785431 | − | 0.575370i | ||||
\(307\) | −0.923969 | − | 0.271302i | −0.00300967 | − | 0.000883719i | 0.280227 | − | 0.959934i | \(-0.409590\pi\) |
−0.283237 | + | 0.959050i | \(0.591408\pi\) | |||||||
\(308\) | −254.805 | − | 36.6354i | −0.827289 | − | 0.118946i | ||||
\(309\) | −1.66595 | + | 467.354i | −0.00539143 | + | 1.51247i | ||||
\(310\) | −163.613 | + | 48.0413i | −0.527785 | + | 0.154972i | ||||
\(311\) | −118.149 | + | 102.376i | −0.379899 | + | 0.329185i | −0.823789 | − | 0.566897i | \(-0.808144\pi\) |
0.443889 | + | 0.896082i | \(0.353598\pi\) | |||||||
\(312\) | 422.104 | − | 122.308i | 1.35290 | − | 0.392014i | ||||
\(313\) | 313.496 | − | 201.472i | 1.00158 | − | 0.643679i | 0.0663826 | − | 0.997794i | \(-0.478854\pi\) |
0.935202 | + | 0.354115i | \(0.115218\pi\) | |||||||
\(314\) | −120.147 | − | 17.2746i | −0.382634 | − | 0.0550145i | ||||
\(315\) | −177.818 | − | 82.7438i | −0.564501 | − | 0.262679i | ||||
\(316\) | 90.0104 | − | 197.095i | 0.284843 | − | 0.623720i | ||||
\(317\) | −167.468 | − | 145.112i | −0.528292 | − | 0.457767i | 0.349413 | − | 0.936969i | \(-0.386381\pi\) |
−0.877705 | + | 0.479201i | \(0.840926\pi\) | |||||||
\(318\) | −0.185597 | + | 52.0659i | −0.000583638 | + | 0.163729i | ||||
\(319\) | 22.3226 | + | 155.257i | 0.0699767 | + | 0.486699i | ||||
\(320\) | 95.0408 | + | 43.4037i | 0.297003 | + | 0.135637i | ||||
\(321\) | −56.5684 | − | 403.651i | −0.176226 | − | 1.25748i | ||||
\(322\) | 82.8206 | − | 24.3183i | 0.257207 | − | 0.0755227i | ||||
\(323\) | 73.5277 | + | 250.412i | 0.227640 | + | 0.775270i | ||||
\(324\) | 85.1634 | + | 193.746i | 0.262850 | + | 0.597981i | ||||
\(325\) | −240.300 | + | 154.432i | −0.739386 | + | 0.475174i | ||||
\(326\) | 145.277 | − | 66.3458i | 0.445635 | − | 0.203515i | ||||
\(327\) | 65.6717 | + | 102.993i | 0.200831 | + | 0.314962i | ||||
\(328\) | 157.940 | + | 345.841i | 0.481526 | + | 1.05439i | ||||
\(329\) | −436.081 | − | 62.6990i | −1.32547 | − | 0.190574i | ||||
\(330\) | −131.572 | − | 85.2202i | −0.398702 | − | 0.258243i | ||||
\(331\) | 46.6451 | − | 53.8313i | 0.140922 | − | 0.162632i | −0.680901 | − | 0.732375i | \(-0.738412\pi\) |
0.821823 | + | 0.569743i | \(0.192957\pi\) | |||||||
\(332\) | −113.730 | + | 176.968i | −0.342561 | + | 0.533035i | ||||
\(333\) | 275.920 | − | 174.556i | 0.828588 | − | 0.524192i | ||||
\(334\) | −36.7142 | −0.109923 | ||||||||
\(335\) | −77.9653 | − | 194.862i | −0.232732 | − | 0.581677i | ||||
\(336\) | −20.0940 | − | 17.5374i | −0.0598036 | − | 0.0521945i | ||||
\(337\) | 164.838 | + | 360.944i | 0.489133 | + | 1.07105i | 0.979850 | + | 0.199733i | \(0.0640075\pi\) |
−0.490717 | + | 0.871319i | \(0.663265\pi\) | |||||||
\(338\) | −117.644 | + | 183.058i | −0.348060 | + | 0.541591i | ||||
\(339\) | −87.2459 | − | 622.554i | −0.257362 | − | 1.83644i | ||||
\(340\) | −19.5263 | − | 135.808i | −0.0574303 | − | 0.399437i | ||||
\(341\) | 647.911 | + | 93.1555i | 1.90003 | + | 0.273183i | ||||
\(342\) | 88.2292 | + | 139.463i | 0.257980 | + | 0.407788i | ||||
\(343\) | −331.109 | − | 97.2222i | −0.965331 | − | 0.283447i | ||||
\(344\) | −579.665 | + | 264.724i | −1.68507 | + | 0.769547i | ||||
\(345\) | −97.9445 | − | 14.4388i | −0.283897 | − | 0.0418517i | ||||
\(346\) | 12.6296 | + | 87.8405i | 0.0365016 | + | 0.253874i | ||||
\(347\) | 34.0598 | + | 115.997i | 0.0981549 | + | 0.334285i | 0.993900 | − | 0.110283i | \(-0.0351756\pi\) |
−0.895745 | + | 0.444567i | \(0.853357\pi\) | |||||||
\(348\) | −36.3439 | + | 78.8370i | −0.104436 | + | 0.226543i | ||||
\(349\) | 236.113 | − | 272.488i | 0.676540 | − | 0.780769i | −0.308844 | − | 0.951113i | \(-0.599942\pi\) |
0.985385 | + | 0.170343i | \(0.0544877\pi\) | |||||||
\(350\) | −113.190 | − | 51.6923i | −0.323401 | − | 0.147692i | ||||
\(351\) | −459.652 | − | 215.886i | −1.30955 | − | 0.615059i | ||||
\(352\) | −302.902 | − | 349.567i | −0.860516 | − | 0.993089i | ||||
\(353\) | −480.739 | − | 416.563i | −1.36187 | − | 1.18006i | −0.965019 | − | 0.262179i | \(-0.915559\pi\) |
−0.396847 | − | 0.917885i | \(-0.629896\pi\) | |||||||
\(354\) | 250.253 | − | 113.210i | 0.706928 | − | 0.319803i | ||||
\(355\) | 200.221 | + | 128.675i | 0.564004 | + | 0.362463i | ||||
\(356\) | −28.5474 | − | 4.10450i | −0.0801893 | − | 0.0115295i | ||||
\(357\) | 51.0233 | − | 346.112i | 0.142922 | − | 0.969500i | ||||
\(358\) | 15.9703 | + | 10.2635i | 0.0446099 | + | 0.0286690i | ||||
\(359\) | −470.099 | + | 407.343i | −1.30947 | + | 1.13466i | −0.327659 | + | 0.944796i | \(0.606260\pi\) |
−0.981810 | + | 0.189865i | \(0.939195\pi\) | |||||||
\(360\) | −89.7908 | − | 200.383i | −0.249419 | − | 0.556619i | ||||
\(361\) | 77.6801 | + | 89.6476i | 0.215180 | + | 0.248331i | ||||
\(362\) | −75.7432 | − | 10.8902i | −0.209235 | − | 0.0300835i | ||||
\(363\) | 128.361 | + | 201.307i | 0.353610 | + | 0.554565i | ||||
\(364\) | 341.865 | 0.939189 | ||||||||
\(365\) | − | 147.484i | − | 0.404065i | ||||||
\(366\) | 185.649 | − | 118.376i | 0.507237 | − | 0.323433i | ||||
\(367\) | −217.254 | + | 139.621i | −0.591972 | + | 0.380438i | −0.802059 | − | 0.597245i | \(-0.796262\pi\) |
0.210086 | + | 0.977683i | \(0.432626\pi\) | |||||||
\(368\) | −12.2465 | − | 5.59280i | −0.0332786 | − | 0.0151978i | ||||
\(369\) | 126.778 | − | 420.649i | 0.343572 | − | 1.13997i | ||||
\(370\) | −112.598 | + | 72.3626i | −0.304320 | + | 0.195575i | ||||
\(371\) | −28.8802 | + | 98.3570i | −0.0778442 | + | 0.265113i | ||||
\(372\) | 272.942 | + | 238.215i | 0.733716 | + | 0.640362i | ||||
\(373\) | 421.221 | 1.12928 | 0.564639 | − | 0.825338i | \(-0.309015\pi\) | ||||
0.564639 | + | 0.825338i | \(0.309015\pi\) | |||||||
\(374\) | 78.7806 | − | 268.302i | 0.210643 | − | 0.717385i | ||||
\(375\) | 246.298 | + | 286.299i | 0.656796 | + | 0.763465i | ||||
\(376\) | −323.011 | − | 372.774i | −0.859071 | − | 0.991420i | ||||
\(377\) | −58.6860 | − | 199.866i | −0.155666 | − | 0.530149i | ||||
\(378\) | −29.1399 | − | 219.295i | −0.0770896 | − | 0.580146i | ||||
\(379\) | −308.308 | − | 198.137i | −0.813477 | − | 0.522790i | 0.0665112 | − | 0.997786i | \(-0.478813\pi\) |
−0.879988 | + | 0.474996i | \(0.842450\pi\) | |||||||
\(380\) | 68.8906 | + | 107.196i | 0.181291 | + | 0.282094i | ||||
\(381\) | 290.134 | − | 249.598i | 0.761507 | − | 0.655112i | ||||
\(382\) | −167.608 | − | 107.715i | −0.438764 | − | 0.281977i | ||||
\(383\) | −402.238 | − | 183.696i | −1.05023 | − | 0.479623i | −0.185909 | − | 0.982567i | \(-0.559523\pi\) |
−0.864319 | + | 0.502944i | \(0.832250\pi\) | |||||||
\(384\) | −38.0354 | − | 271.406i | −0.0990504 | − | 0.706787i | ||||
\(385\) | −202.111 | − | 233.249i | −0.524964 | − | 0.605840i | ||||
\(386\) | −321.175 | + | 46.1780i | −0.832060 | + | 0.119632i | ||||
\(387\) | 705.050 | + | 212.493i | 1.82183 | + | 0.549077i | ||||
\(388\) | −17.4016 | + | 20.0825i | −0.0448495 | + | 0.0517591i | ||||
\(389\) | −130.080 | − | 443.013i | −0.334397 | − | 1.13885i | −0.939456 | − | 0.342671i | \(-0.888669\pi\) |
0.605059 | − | 0.796181i | \(-0.293150\pi\) | |||||||
\(390\) | 189.057 | + | 87.1553i | 0.484762 | + | 0.223475i | ||||
\(391\) | −25.1331 | − | 174.805i | −0.0642791 | − | 0.447071i | ||||
\(392\) | −2.55035 | − | 3.96843i | −0.00650600 | − | 0.0101235i | ||||
\(393\) | −124.152 | − | 36.9356i | −0.315909 | − | 0.0939836i | ||||
\(394\) | −129.159 | − | 37.9246i | −0.327816 | − | 0.0962554i | ||||
\(395\) | 236.302 | − | 107.915i | 0.598232 | − | 0.273203i | ||||
\(396\) | −2.37431 | + | 333.031i | −0.00599574 | + | 0.840989i | ||||
\(397\) | 56.5548 | + | 393.347i | 0.142455 | + | 0.990799i | 0.928156 | + | 0.372192i | \(0.121394\pi\) |
−0.785700 | + | 0.618607i | \(0.787697\pi\) | |||||||
\(398\) | 177.786 | + | 154.052i | 0.446697 | + | 0.387065i | ||||
\(399\) | 90.4265 | + | 312.075i | 0.226633 | + | 0.782144i | ||||
\(400\) | 8.06261 | + | 17.6547i | 0.0201565 | + | 0.0441367i | ||||
\(401\) | − | 588.165i | − | 1.46675i | −0.679827 | − | 0.733373i | \(-0.737945\pi\) | ||
0.679827 | − | 0.733373i | \(-0.262055\pi\) | |||||||
\(402\) | 138.046 | − | 192.321i | 0.343398 | − | 0.478411i | ||||
\(403\) | −869.284 | −2.15703 | ||||||||
\(404\) | −218.517 | + | 99.7935i | −0.540884 | + | 0.247014i | ||||
\(405\) | −74.9496 | + | 242.414i | −0.185061 | + | 0.598553i | ||||
\(406\) | 59.4240 | − | 68.5790i | 0.146365 | − | 0.168914i | ||||
\(407\) | 508.561 | − | 73.1201i | 1.24954 | − | 0.179656i | ||||
\(408\) | 296.932 | − | 255.445i | 0.727774 | − | 0.626092i | ||||
\(409\) | 58.4847 | + | 128.064i | 0.142994 | + | 0.313114i | 0.967555 | − | 0.252659i | \(-0.0813051\pi\) |
−0.824561 | + | 0.565773i | \(0.808578\pi\) | |||||||
\(410\) | −50.7410 | + | 172.808i | −0.123759 | + | 0.421483i | ||||
\(411\) | −216.383 | − | 64.3746i | −0.526480 | − | 0.156629i | ||||
\(412\) | −342.421 | + | 220.061i | −0.831120 | + | 0.534128i | ||||
\(413\) | 535.270 | − | 76.9602i | 1.29605 | − | 0.186344i | ||||
\(414\) | −45.6646 | − | 101.908i | −0.110301 | − | 0.246155i | ||||
\(415\) | −241.991 | + | 71.0549i | −0.583110 | + | 0.171217i | ||||
\(416\) | 464.231 | + | 402.258i | 1.11594 | + | 0.966967i | ||||
\(417\) | −99.1690 | + | 44.8624i | −0.237815 | + | 0.107584i | ||||
\(418\) | 36.9585 | + | 257.052i | 0.0884174 | + | 0.614956i | ||||
\(419\) | −556.900 | + | 482.556i | −1.32912 | + | 1.15169i | −0.352712 | + | 0.935732i | \(0.614741\pi\) |
−0.976404 | + | 0.215954i | \(0.930714\pi\) | |||||||
\(420\) | −23.7064 | − | 169.160i | −0.0564439 | − | 0.402763i | ||||
\(421\) | −115.650 | + | 253.237i | −0.274702 | + | 0.601514i | −0.995824 | − | 0.0912943i | \(-0.970900\pi\) |
0.721122 | + | 0.692808i | \(0.243627\pi\) | |||||||
\(422\) | −126.892 | + | 197.448i | −0.300692 | + | 0.467886i | ||||
\(423\) | −4.06347 | + | 569.960i | −0.00960631 | + | 1.34742i | ||||
\(424\) | −96.5490 | + | 62.0483i | −0.227710 | + | 0.146340i | ||||
\(425\) | −137.642 | + | 214.176i | −0.323865 | + | 0.503943i | ||||
\(426\) | −0.956954 | + | 268.457i | −0.00224637 | + | 0.630180i | ||||
\(427\) | 415.933 | − | 122.129i | 0.974082 | − | 0.286016i | ||||
\(428\) | 268.283 | − | 232.469i | 0.626830 | − | 0.543151i | ||||
\(429\) | −521.164 | − | 605.805i | −1.21483 | − | 1.41213i | ||||
\(430\) | −289.644 | − | 85.0471i | −0.673590 | − | 0.197784i | ||||
\(431\) | 11.5510i | 0.0268005i | 0.999910 | + | 0.0134002i | \(0.00426556\pi\) | ||||
−0.999910 | + | 0.0134002i | \(0.995734\pi\) | |||||||
\(432\) | −18.9641 | + | 28.8262i | −0.0438983 | + | 0.0667273i | ||||
\(433\) | 172.394 | + | 50.6194i | 0.398138 | + | 0.116904i | 0.474671 | − | 0.880163i | \(-0.342567\pi\) |
−0.0765331 | + | 0.997067i | \(0.524385\pi\) | |||||||
\(434\) | −204.732 | − | 318.570i | −0.471734 | − | 0.734032i | ||||
\(435\) | −94.8275 | + | 42.8984i | −0.217994 | + | 0.0986170i | ||||
\(436\) | −44.1932 | + | 96.7696i | −0.101361 | + | 0.221949i | ||||
\(437\) | 88.6721 | + | 137.976i | 0.202911 | + | 0.315736i | ||||
\(438\) | 140.267 | − | 89.4393i | 0.320244 | − | 0.204199i | ||||
\(439\) | 289.491 | 0.659432 | 0.329716 | − | 0.944080i | \(-0.393047\pi\) | ||||
0.329716 | + | 0.944080i | \(0.393047\pi\) | |||||||
\(440\) | − | 345.540i | − | 0.785318i | ||||||
\(441\) | −0.814210 | + | 5.38989i | −0.00184628 | + | 0.0122220i | ||||
\(442\) | −52.8489 | + | 367.572i | −0.119568 | + | 0.831611i | ||||
\(443\) | 528.226 | − | 457.710i | 1.19238 | − | 1.03321i | 0.193745 | − | 0.981052i | \(-0.437937\pi\) |
0.998639 | − | 0.0521545i | \(-0.0166088\pi\) | |||||||
\(444\) | 258.240 | + | 119.048i | 0.581621 | + | 0.268127i | ||||
\(445\) | −22.6438 | − | 26.1323i | −0.0508849 | − | 0.0587243i | ||||
\(446\) | 92.7265 | − | 144.285i | 0.207907 | − | 0.323510i | ||||
\(447\) | −37.9252 | + | 257.262i | −0.0848440 | + | 0.575531i | ||||
\(448\) | −33.0214 | + | 229.669i | −0.0737084 | + | 0.512653i | ||||
\(449\) | 14.2905 | − | 22.2365i | 0.0318274 | − | 0.0495245i | −0.824975 | − | 0.565169i | \(-0.808811\pi\) |
0.856803 | + | 0.515644i | \(0.172447\pi\) | |||||||
\(450\) | −46.4551 | + | 154.138i | −0.103234 | + | 0.342529i | ||||
\(451\) | 452.744 | − | 522.494i | 1.00387 | − | 1.15852i | ||||
\(452\) | 413.775 | − | 358.538i | 0.915431 | − | 0.793225i | ||||
\(453\) | 161.656 | − | 249.581i | 0.356857 | − | 0.550952i | ||||
\(454\) | 93.9833 | − | 205.795i | 0.207012 | − | 0.453293i | ||||
\(455\) | 309.758 | + | 268.407i | 0.680787 | + | 0.589905i | ||||
\(456\) | −152.293 | + | 330.353i | −0.333976 | + | 0.724459i | ||||
\(457\) | −318.226 | + | 93.4395i | −0.696336 | + | 0.204463i | −0.610698 | − | 0.791864i | \(-0.709111\pi\) |
−0.0856381 | + | 0.996326i | \(0.527293\pi\) | |||||||
\(458\) | 343.959 | − | 49.4539i | 0.751002 | − | 0.107978i | ||||
\(459\) | −452.590 | − | 4.84014i | −0.986035 | − | 0.0105450i | ||||
\(460\) | −35.8192 | − | 78.4332i | −0.0778679 | − | 0.170507i | ||||
\(461\) | −157.514 | + | 536.445i | −0.341680 | + | 1.16365i | 0.592117 | + | 0.805852i | \(0.298292\pi\) |
−0.933797 | + | 0.357803i | \(0.883526\pi\) | |||||||
\(462\) | 99.2680 | − | 333.671i | 0.214866 | − | 0.722232i | ||||
\(463\) | 72.7707 | − | 506.131i | 0.157172 | − | 1.09316i | −0.746641 | − | 0.665227i | \(-0.768335\pi\) |
0.903813 | − | 0.427928i | \(-0.140756\pi\) | |||||||
\(464\) | −14.0094 | + | 2.01425i | −0.0301927 | + | 0.00434106i | ||||
\(465\) | 60.2801 | + | 430.136i | 0.129635 | + | 0.925025i | ||||
\(466\) | 261.752 | + | 168.218i | 0.561700 | + | 0.360983i | ||||
\(467\) | −167.722 | + | 76.5962i | −0.359148 | + | 0.164017i | −0.586814 | − | 0.809722i | \(-0.699618\pi\) |
0.227666 | + | 0.973739i | \(0.426891\pi\) | |||||||
\(468\) | −59.8207 | − | 438.218i | −0.127822 | − | 0.936364i | ||||
\(469\) | 366.432 | − | 288.045i | 0.781304 | − | 0.614169i | ||||
\(470\) | − | 233.657i | − | 0.497143i | ||||||
\(471\) | −88.1625 | + | 296.342i | −0.187181 | + | 0.629176i | ||||
\(472\) | 509.331 | + | 327.327i | 1.07909 | + | 0.693490i | ||||
\(473\) | 875.753 | + | 758.844i | 1.85149 | + | 1.60432i | ||||
\(474\) | 245.936 | + | 159.295i | 0.518853 | + | 0.336066i | ||||
\(475\) | 33.6492 | − | 234.036i | 0.0708405 | − | 0.492706i | ||||
\(476\) | 277.163 | − | 126.576i | 0.582276 | − | 0.265917i | ||||
\(477\) | 131.132 | + | 19.8092i | 0.274910 | + | 0.0415286i | ||||
\(478\) | −201.866 | − | 442.025i | −0.422314 | − | 0.924739i | ||||
\(479\) | −108.055 | − | 168.137i | −0.225585 | − | 0.351017i | 0.709949 | − | 0.704253i | \(-0.248718\pi\) |
−0.935534 | + | 0.353236i | \(0.885081\pi\) | |||||||
\(480\) | 166.852 | − | 257.604i | 0.347609 | − | 0.536674i | ||||
\(481\) | −654.684 | + | 192.233i | −1.36109 | + | 0.399652i | ||||
\(482\) | 17.9265 | + | 61.0519i | 0.0371918 | + | 0.126664i | ||||
\(483\) | −30.5136 | − | 217.734i | −0.0631751 | − | 0.450794i | ||||
\(484\) | −86.3792 | + | 189.144i | −0.178469 | + | 0.390793i | ||||
\(485\) | −31.5346 | + | 4.53399i | −0.0650198 | + | 0.00934843i | ||||
\(486\) | −276.004 | + | 75.7259i | −0.567909 | + | 0.155815i | ||||
\(487\) | −472.155 | + | 544.896i | −0.969517 | + | 1.11888i | 0.0233589 | + | 0.999727i | \(0.492564\pi\) |
−0.992876 | + | 0.119155i | \(0.961982\pi\) | |||||||
\(488\) | 441.473 | + | 201.614i | 0.904659 | + | 0.413144i | ||||
\(489\) | −113.217 | − | 390.730i | −0.231528 | − | 0.799039i | ||||
\(490\) | 0.318019 | − | 2.21187i | 0.000649018 | − | 0.00451402i | ||||
\(491\) | 158.941 | + | 247.317i | 0.323709 | + | 0.503701i | 0.964524 | − | 0.263994i | \(-0.0850400\pi\) |
−0.640815 | + | 0.767695i | \(0.721404\pi\) | |||||||
\(492\) | 367.517 | − | 106.491i | 0.746987 | − | 0.216446i | ||||
\(493\) | −121.580 | − | 140.311i | −0.246613 | − | 0.284606i | ||||
\(494\) | −97.1637 | − | 330.909i | −0.196688 | − | 0.669857i | ||||
\(495\) | −263.623 | + | 299.890i | −0.532571 | + | 0.605838i | ||||
\(496\) | −8.40578 | + | 58.4635i | −0.0169471 | + | 0.117870i | ||||
\(497\) | −148.909 | + | 507.138i | −0.299616 | + | 1.02040i | ||||
\(498\) | −214.329 | − | 187.059i | −0.430380 | − | 0.375621i | ||||
\(499\) | −878.697 | −1.76092 | −0.880458 | − | 0.474125i | \(-0.842765\pi\) | ||||
−0.880458 | + | 0.474125i | \(0.842765\pi\) | |||||||
\(500\) | −92.6677 | + | 315.597i | −0.185335 | + | 0.631194i | ||||
\(501\) | −13.6386 | + | 92.5162i | −0.0272228 | + | 0.184663i | ||||
\(502\) | −191.800 | + | 419.984i | −0.382072 | + | 0.836621i | ||||
\(503\) | −295.248 | − | 134.835i | −0.586974 | − | 0.268062i | 0.0997116 | − | 0.995016i | \(-0.468208\pi\) |
−0.686686 | + | 0.726954i | \(0.740935\pi\) | |||||||
\(504\) | 370.797 | − | 316.697i | 0.735708 | − | 0.628367i | ||||
\(505\) | −276.345 | − | 81.1423i | −0.547218 | − | 0.160678i | ||||
\(506\) | − | 175.730i | − | 0.347293i | ||||||
\(507\) | 417.586 | + | 364.454i | 0.823640 | + | 0.718845i | ||||
\(508\) | 319.824 | + | 93.9089i | 0.629576 | + | 0.184860i | ||||
\(509\) | −25.7116 | − | 3.69677i | −0.0505139 | − | 0.00726280i | 0.117012 | − | 0.993131i | \(-0.462669\pi\) |
−0.167525 | + | 0.985868i | \(0.553578\pi\) | |||||||
\(510\) | 185.546 | + | 0.661405i | 0.363815 | + | 0.00129687i | ||||
\(511\) | 314.258 | − | 92.2745i | 0.614987 | − | 0.180576i | ||||
\(512\) | 61.6319 | − | 53.4043i | 0.120375 | − | 0.104305i | ||||
\(513\) | 384.210 | − | 170.521i | 0.748947 | − | 0.332400i | ||||
\(514\) | −297.515 | + | 191.201i | −0.578822 | + | 0.371987i | ||||
\(515\) | −483.037 | − | 69.4503i | −0.937937 | − | 0.134855i | ||||
\(516\) | 178.490 | + | 615.996i | 0.345911 | + | 1.19379i | ||||
\(517\) | −372.600 | + | 815.879i | −0.720696 | + | 1.57810i | ||||
\(518\) | −224.638 | − | 194.650i | −0.433664 | − | 0.375772i | ||||
\(519\) | 226.041 | + | 0.805758i | 0.435532 | + | 0.00155252i | ||||
\(520\) | 65.3058 | + | 454.212i | 0.125588 | + | 0.873485i | ||||
\(521\) | −183.344 | − | 83.7303i | −0.351907 | − | 0.160711i | 0.231615 | − | 0.972807i | \(-0.425599\pi\) |
−0.583523 | + | 0.812097i | \(0.698326\pi\) | |||||||
\(522\) | −98.3059 | − | 64.1723i | −0.188326 | − | 0.122935i | ||||
\(523\) | 536.540 | − | 157.542i | 1.02589 | − | 0.301228i | 0.274851 | − | 0.961487i | \(-0.411372\pi\) |
0.751038 | + | 0.660259i | \(0.229553\pi\) | |||||||
\(524\) | −31.7828 | − | 108.242i | −0.0606542 | − | 0.206569i | ||||
\(525\) | −172.307 | + | 266.026i | −0.328205 | + | 0.506716i | ||||
\(526\) | 135.232 | − | 86.9084i | 0.257095 | − | 0.165225i | ||||
\(527\) | −704.764 | + | 321.855i | −1.33731 | + | 0.610730i | ||||
\(528\) | −45.7828 | + | 29.1928i | −0.0867099 | + | 0.0552893i | ||||
\(529\) | 173.650 | + | 380.241i | 0.328261 | + | 0.718791i | ||||
\(530\) | −53.8132 | − | 7.73717i | −0.101534 | − | 0.0145984i | ||||
\(531\) | −192.315 | − | 672.668i | −0.362175 | − | 1.26679i | ||||
\(532\) | −185.311 | + | 213.860i | −0.348328 | + | 0.401993i | ||||
\(533\) | −496.382 | + | 772.385i | −0.931298 | + | 1.44913i | ||||
\(534\) | 11.1216 | − | 37.3833i | 0.0208270 | − | 0.0700061i | ||||
\(535\) | 425.604 | 0.795521 | ||||||||
\(536\) | 521.234 | + | 24.9349i | 0.972452 | + | 0.0465204i | ||||
\(537\) | 31.7957 | − | 36.4310i | 0.0592099 | − | 0.0678417i | ||||
\(538\) | −243.821 | − | 533.893i | −0.453198 | − | 0.992365i | ||||
\(539\) | −4.63759 | + | 7.21624i | −0.00860407 | + | 0.0133882i | ||||
\(540\) | −212.689 | + | 59.9883i | −0.393869 | + | 0.111089i | ||||
\(541\) | 69.3803 | + | 482.551i | 0.128245 | + | 0.891961i | 0.947778 | + | 0.318930i | \(0.103323\pi\) |
−0.819534 | + | 0.573031i | \(0.805768\pi\) | |||||||
\(542\) | 269.205 | + | 38.7058i | 0.496688 | + | 0.0714129i | ||||
\(543\) | −55.5794 | + | 186.820i | −0.102356 | + | 0.344051i | ||||
\(544\) | 525.308 | + | 154.244i | 0.965639 | + | 0.283537i | ||||
\(545\) | −116.019 | + | 52.9841i | −0.212879 | + | 0.0972185i | ||||
\(546\) | −67.4250 | + | 457.372i | −0.123489 | + | 0.837677i | ||||
\(547\) | −84.7080 | − | 589.157i | −0.154859 | − | 1.07707i | −0.907927 | − | 0.419127i | \(-0.862336\pi\) |
0.753068 | − | 0.657942i | \(-0.228573\pi\) | |||||||
\(548\) | −55.3939 | − | 188.654i | −0.101084 | − | 0.344260i | ||||
\(549\) | −229.332 | − | 511.792i | −0.417727 | − | 0.932225i | ||||
\(550\) | −165.898 | + | 191.457i | −0.301633 | + | 0.348104i | ||||
\(551\) | 156.841 | + | 71.6270i | 0.284648 | + | 0.129995i | ||||
\(552\) | 133.818 | − | 206.602i | 0.242424 | − | 0.374279i | ||||
\(553\) | 377.790 | + | 435.993i | 0.683164 | + | 0.788413i | ||||
\(554\) | 52.9479 | + | 45.8796i | 0.0955738 | + | 0.0828152i | ||||
\(555\) | 140.519 | + | 310.618i | 0.253187 | + | 0.559672i | ||||
\(556\) | −79.7478 | − | 51.2508i | −0.143431 | − | 0.0921777i | ||||
\(557\) | 89.9006 | + | 12.9258i | 0.161402 | + | 0.0232060i | 0.222542 | − | 0.974923i | \(-0.428565\pi\) |
−0.0611403 | + | 0.998129i | \(0.519474\pi\) | |||||||
\(558\) | −372.533 | + | 318.180i | −0.667621 | + | 0.570215i | ||||
\(559\) | −1294.60 | − | 831.986i | −2.31591 | − | 1.48835i | ||||
\(560\) | 21.0469 | − | 18.2373i | 0.0375838 | − | 0.0325665i | ||||
\(561\) | −646.830 | − | 298.188i | −1.15299 | − | 0.531530i | ||||
\(562\) | 355.331 | + | 410.074i | 0.632261 | + | 0.729669i | ||||
\(563\) | −428.605 | − | 61.6240i | −0.761287 | − | 0.109457i | −0.249273 | − | 0.968433i | \(-0.580192\pi\) |
−0.512014 | + | 0.858977i | \(0.671101\pi\) | |||||||
\(564\) | −418.561 | + | 266.890i | −0.742130 | + | 0.473209i | ||||
\(565\) | 656.411 | 1.16179 | ||||||||
\(566\) | 268.985i | 0.475238i | ||||||||
\(567\) | −563.428 | − | 8.03420i | −0.993699 | − | 0.0141697i | ||||
\(568\) | −497.815 | + | 319.927i | −0.876436 | + | 0.563251i | ||||
\(569\) | 678.033 | + | 309.647i | 1.19162 | + | 0.544196i | 0.909710 | − | 0.415244i | \(-0.136304\pi\) |
0.281913 | + | 0.959440i | \(0.409031\pi\) | |||||||
\(570\) | −157.002 | + | 71.0250i | −0.275441 | + | 0.124605i | ||||
\(571\) | 625.872 | − | 402.224i | 1.09610 | − | 0.704420i | 0.137878 | − | 0.990449i | \(-0.455972\pi\) |
0.958221 | + | 0.286029i | \(0.0923355\pi\) | |||||||
\(572\) | 196.084 | − | 667.799i | 0.342803 | − | 1.16748i | ||||
\(573\) | −333.695 | + | 382.342i | −0.582364 | + | 0.667263i | ||||
\(574\) | −399.966 | −0.696804 | ||||||||
\(575\) | −45.0759 | + | 153.514i | −0.0783929 | + | 0.266982i | ||||
\(576\) | 300.178 | + | 2.14009i | 0.521143 | + | 0.00371543i | ||||
\(577\) | −435.873 | − | 503.024i | −0.755412 | − | 0.871792i | 0.239669 | − | 0.970855i | \(-0.422961\pi\) |
−0.995081 | + | 0.0990628i | \(0.968416\pi\) | |||||||
\(578\) | −2.64897 | − | 9.02156i | −0.00458299 | − | 0.0156082i | ||||
\(579\) | −2.94613 | + | 826.485i | −0.00508831 | + | 1.42743i | ||||
\(580\) | −76.2566 | − | 49.0071i | −0.131477 | − | 0.0844951i | ||||
\(581\) | −302.807 | − | 471.177i | −0.521183 | − | 0.810976i | ||||
\(582\) | −23.4358 | − | 27.2420i | −0.0402677 | − | 0.0468075i | ||||
\(583\) | 175.566 | + | 112.829i | 0.301142 | + | 0.193532i | ||||
\(584\) | 333.555 | + | 152.330i | 0.571156 | + | 0.260838i | ||||
\(585\) | 289.854 | − | 444.029i | 0.495476 | − | 0.759024i | ||||
\(586\) | 103.548 | + | 119.501i | 0.176703 | + | 0.203927i | ||||
\(587\) | 745.149 | − | 107.136i | 1.26942 | − | 0.182515i | 0.525505 | − | 0.850790i | \(-0.323876\pi\) |
0.743914 | + | 0.668276i | \(0.232967\pi\) | |||||||
\(588\) | −4.32548 | + | 1.95678i | −0.00735626 | + | 0.00332785i | ||||
\(589\) | 471.203 | − | 543.797i | 0.800005 | − | 0.923255i | ||||
\(590\) | 80.8020 | + | 275.186i | 0.136952 | + | 0.466417i | ||||
\(591\) | −143.546 | + | 311.381i | −0.242887 | + | 0.526871i | ||||
\(592\) | 6.59791 | + | 45.8894i | 0.0111451 | + | 0.0775159i | ||||
\(593\) | 353.324 | + | 549.782i | 0.595824 | + | 0.927120i | 0.999923 | + | 0.0124048i | \(0.00394869\pi\) |
−0.404099 | + | 0.914715i | \(0.632415\pi\) | |||||||
\(594\) | −445.086 | − | 68.8594i | −0.749302 | − | 0.115925i | ||||
\(595\) | 350.511 | + | 102.919i | 0.589095 | + | 0.172974i | ||||
\(596\) | −206.014 | + | 94.0833i | −0.345661 | + | 0.157858i | ||||
\(597\) | 454.240 | − | 390.775i | 0.760871 | − | 0.654564i | ||||
\(598\) | 33.2124 | + | 230.997i | 0.0555391 | + | 0.386283i | ||||
\(599\) | −310.696 | − | 269.220i | −0.518691 | − | 0.449448i | 0.355749 | − | 0.934581i | \(-0.384226\pi\) |
−0.874440 | + | 0.485133i | \(0.838771\pi\) | |||||||
\(600\) | −340.837 | + | 98.7604i | −0.568061 | + | 0.164601i | ||||
\(601\) | 195.816 | + | 428.777i | 0.325817 | + | 0.713440i | 0.999677 | − | 0.0254193i | \(-0.00809210\pi\) |
−0.673860 | + | 0.738859i | \(0.735365\pi\) | |||||||
\(602\) | − | 670.383i | − | 1.11359i | ||||||
\(603\) | −433.349 | − | 419.306i | −0.718656 | − | 0.695366i | ||||
\(604\) | 258.982 | 0.428778 | ||||||||
\(605\) | −226.768 | + | 103.562i | −0.374824 | + | 0.171176i | ||||
\(606\) | −90.4135 | − | 312.030i | −0.149197 | − | 0.514902i | ||||
\(607\) | −190.740 | + | 220.126i | −0.314235 | + | 0.362646i | −0.890793 | − | 0.454410i | \(-0.849850\pi\) |
0.576558 | + | 0.817056i | \(0.304395\pi\) | |||||||
\(608\) | −503.281 | + | 72.3609i | −0.827765 | + | 0.119015i | ||||
\(609\) | −150.737 | − | 175.218i | −0.247516 | − | 0.287715i | ||||
\(610\) | 95.5064 | + | 209.130i | 0.156568 | + | 0.342836i | ||||
\(611\) | 335.584 | − | 1142.89i | 0.549237 | − | 1.87053i | ||||
\(612\) | −210.750 | − | 333.132i | −0.344363 | − | 0.544334i | ||||
\(613\) | 466.885 | − | 300.049i | 0.761639 | − | 0.489476i | −0.101255 | − | 0.994861i | \(-0.532286\pi\) |
0.862894 | + | 0.505385i | \(0.168649\pi\) | |||||||
\(614\) | 1.12264 | − | 0.161412i | 0.00182841 | − | 0.000262885i | ||||
\(615\) | 416.610 | + | 192.057i | 0.677415 | + | 0.312288i | ||||
\(616\) | 736.276 | − | 216.190i | 1.19525 | − | 0.350958i | ||||
\(617\) | −102.875 | − | 89.1418i | −0.166734 | − | 0.144476i | 0.567497 | − | 0.823375i | \(-0.307912\pi\) |
−0.734231 | + | 0.678899i | \(0.762457\pi\) | |||||||
\(618\) | −226.879 | − | 501.518i | −0.367117 | − | 0.811518i | ||||
\(619\) | 44.6258 | + | 310.379i | 0.0720934 | + | 0.501421i | 0.993591 | + | 0.113036i | \(0.0360576\pi\) |
−0.921497 | + | 0.388384i | \(0.873033\pi\) | |||||||
\(620\) | −285.886 | + | 247.722i | −0.461107 | + | 0.399551i | ||||
\(621\) | −273.762 | + | 77.2135i | −0.440840 | + | 0.124337i | ||||
\(622\) | 76.4895 | − | 167.489i | 0.122974 | − | 0.269275i | ||||
\(623\) | 41.5154 | − | 64.5992i | 0.0666378 | − | 0.103690i | ||||
\(624\) | 54.6641 | − | 47.0266i | 0.0876028 | − | 0.0753632i | ||||
\(625\) | −12.3411 | + | 7.93116i | −0.0197458 | + | 0.0126898i | ||||
\(626\) | −237.292 | + | 369.233i | −0.379060 | + | 0.589830i | ||||
\(627\) | 661.475 | + | 2.35793i | 1.05498 | + | 0.00376065i | ||||
\(628\) | −258.367 | + | 75.8633i | −0.411412 | + | 0.120801i | ||||
\(629\) | −459.604 | + | 398.249i | −0.730690 | + | 0.633146i | ||||
\(630\) | 230.991 | + | 1.64682i | 0.366652 | + | 0.00261401i | ||||
\(631\) | −288.415 | − | 84.6862i | −0.457076 | − | 0.134210i | 0.0450862 | − | 0.998983i | \(-0.485644\pi\) |
−0.502162 | + | 0.864774i | \(0.667462\pi\) | |||||||
\(632\) | 645.890i | 1.02198i | ||||||||
\(633\) | 450.411 | + | 393.103i | 0.711550 | + | 0.621016i | ||||
\(634\) | 250.418 | + | 73.5294i | 0.394981 | + | 0.115977i | ||||
\(635\) | 216.057 | + | 336.192i | 0.340248 | + | 0.529436i | ||||
\(636\) | 47.6070 | + | 105.236i | 0.0748537 | + | 0.165465i | ||||
\(637\) | 4.73227 | − | 10.3622i | 0.00742899 | − | 0.0162672i | ||||
\(638\) | −99.8784 | − | 155.414i | −0.156549 | − | 0.243595i | ||||
\(639\) | 676.129 | + | 102.138i | 1.05811 | + | 0.159840i | ||||
\(640\) | 286.167 | 0.447135 | ||||||||
\(641\) | 49.6705i | 0.0774891i | 0.999249 | + | 0.0387445i | \(0.0123359\pi\) | ||||
−0.999249 | + | 0.0387445i | \(0.987664\pi\) | |||||||
\(642\) | 258.101 | + | 404.778i | 0.402026 | + | 0.630495i | ||||
\(643\) | 14.1569 | − | 98.4637i | 0.0220170 | − | 0.153132i | −0.975847 | − | 0.218454i | \(-0.929899\pi\) |
0.997864 | + | 0.0653226i | \(0.0208076\pi\) | |||||||
\(644\) | 144.715 | − | 125.396i | 0.224712 | − | 0.194714i | ||||
\(645\) | −321.907 | + | 698.281i | −0.499081 | + | 1.08261i | ||||
\(646\) | −201.294 | − | 232.306i | −0.311601 | − | 0.359607i | ||||
\(647\) | 548.960 | − | 854.198i | 0.848470 | − | 1.32024i | −0.0972497 | − | 0.995260i | \(-0.531005\pi\) |
0.945719 | − | 0.324985i | \(-0.105359\pi\) | |||||||
\(648\) | −470.841 | − | 419.888i | −0.726606 | − | 0.647975i | ||||
\(649\) | 156.681 | − | 1089.74i | 0.241419 | − | 1.67911i | ||||
\(650\) | 181.889 | − | 283.024i | 0.279829 | − | 0.435422i | ||||
\(651\) | −878.819 | + | 397.563i | −1.34995 | + | 0.610696i | ||||
\(652\) | 232.016 | − | 267.761i | 0.355853 | − | 0.410676i | ||||
\(653\) | 852.415 | − | 738.622i | 1.30538 | − | 1.13112i | 0.322565 | − | 0.946547i | \(-0.395455\pi\) |
0.982819 | − | 0.184574i | \(-0.0590904\pi\) | |||||||
\(654\) | −120.749 | − | 78.2105i | −0.184632 | − | 0.119588i | ||||
\(655\) | 56.1859 | − | 123.030i | 0.0857800 | − | 0.187832i | ||||
\(656\) | 47.1467 | + | 40.8528i | 0.0718699 | + | 0.0622756i | ||||
\(657\) | −173.272 | − | 386.684i | −0.263732 | − | 0.588561i | ||||
\(658\) | 497.876 | − | 146.190i | 0.756651 | − | 0.222173i | ||||
\(659\) | −231.232 | + | 33.2461i | −0.350883 | + | 0.0504494i | −0.315503 | − | 0.948925i | \(-0.602173\pi\) |
−0.0353800 | + | 0.999374i | \(0.511264\pi\) | |||||||
\(660\) | −344.036 | − | 50.7172i | −0.521266 | − | 0.0768443i | ||||
\(661\) | −388.032 | − | 849.672i | −0.587038 | − | 1.28543i | −0.937216 | − | 0.348750i | \(-0.886606\pi\) |
0.350178 | − | 0.936683i | \(-0.386121\pi\) | |||||||
\(662\) | −23.6354 | + | 80.4948i | −0.0357031 | + | 0.121593i | ||||
\(663\) | 906.613 | + | 269.720i | 1.36744 | + | 0.406817i | ||||
\(664\) | 89.2411 | − | 620.685i | 0.134399 | − | 0.934767i | ||||
\(665\) | −335.814 | + | 48.2827i | −0.504983 | + | 0.0726056i | ||||
\(666\) | −210.204 | + | 322.012i | −0.315621 | + | 0.483502i | ||||
\(667\) | −98.1531 | − | 63.0792i | −0.147156 | − | 0.0945715i | ||||
\(668\) | −74.0863 | + | 33.8341i | −0.110908 | + | 0.0506498i | ||||
\(669\) | −329.139 | − | 287.261i | −0.491986 | − | 0.429389i | ||||
\(670\) | 178.869 | + | 170.621i | 0.266969 | + | 0.254658i | ||||
\(671\) | − | 882.534i | − | 1.31525i | ||||||
\(672\) | 653.294 | + | 194.357i | 0.972164 | + | 0.289221i | ||||
\(673\) | −516.842 | − | 332.154i | −0.767967 | − | 0.493542i | 0.0970535 | − | 0.995279i | \(-0.469058\pi\) |
−0.865020 | + | 0.501737i | \(0.832695\pi\) | |||||||
\(674\) | −353.201 | − | 306.050i | −0.524037 | − | 0.454080i | ||||
\(675\) | 371.155 | + | 174.322i | 0.549860 | + | 0.258254i | ||||
\(676\) | −68.6989 | + | 477.811i | −0.101626 | + | 0.706821i | ||||
\(677\) | 287.023 | − | 131.079i | 0.423963 | − | 0.193618i | −0.191996 | − | 0.981396i | \(-0.561496\pi\) |
0.615959 | + | 0.787778i | \(0.288769\pi\) | |||||||
\(678\) | 398.070 | + | 624.291i | 0.587125 | + | 0.920784i | ||||
\(679\) | −29.3909 | − | 64.3571i | −0.0432856 | − | 0.0947822i | ||||
\(680\) | 221.119 | + | 344.068i | 0.325175 | + | 0.505983i | ||||
\(681\) | −483.670 | − | 313.278i | −0.710235 | − | 0.460026i | ||||
\(682\) | −739.723 | + | 217.202i | −1.08464 | + | 0.318478i | ||||
\(683\) | −55.2167 | − | 188.051i | −0.0808443 | − | 0.275330i | 0.909144 | − | 0.416483i | \(-0.136737\pi\) |
−0.989988 | + | 0.141152i | \(0.954919\pi\) | |||||||
\(684\) | 306.562 | + | 200.118i | 0.448190 | + | 0.292570i | ||||
\(685\) | 97.9258 | − | 214.428i | 0.142957 | − | 0.313033i | ||||
\(686\) | 402.304 | − | 57.8426i | 0.586449 | − | 0.0843186i | ||||
\(687\) | 3.15512 | − | 885.115i | 0.00459261 | − | 1.28838i | ||||
\(688\) | −68.4734 | + | 79.0226i | −0.0995253 | + | 0.114858i | ||||
\(689\) | −252.105 | − | 115.133i | −0.365901 | − | 0.167101i | ||||
\(690\) | 111.998 | − | 32.4524i | 0.162316 | − | 0.0470325i | ||||
\(691\) | 151.815 | − | 1055.89i | 0.219703 | − | 1.52807i | −0.519433 | − | 0.854511i | \(-0.673857\pi\) |
0.739136 | − | 0.673556i | \(-0.235234\pi\) | |||||||
\(692\) | 106.435 | + | 165.616i | 0.153808 | + | 0.239330i | ||||
\(693\) | −803.943 | − | 374.098i | −1.16009 | − | 0.539824i | ||||
\(694\) | −93.2443 | − | 107.610i | −0.134358 | − | 0.155057i | ||||
\(695\) | −32.0198 | − | 109.050i | −0.0460717 | − | 0.156906i | ||||
\(696\) | 0.922437 | − | 258.774i | 0.00132534 | − | 0.371801i | ||||
\(697\) | −116.459 | + | 809.990i | −0.167086 | + | 1.16211i | ||||
\(698\) | −119.640 | + | 407.456i | −0.171404 | + | 0.583748i | ||||
\(699\) | 521.129 | − | 597.101i | 0.745535 | − | 0.854221i | ||||
\(700\) | −276.046 | −0.394351 | ||||||||
\(701\) | −10.4627 | + | 35.6326i | −0.0149254 | + | 0.0508311i | −0.966619 | − | 0.256218i | \(-0.917523\pi\) |
0.951694 | + | 0.307049i | \(0.0993416\pi\) | |||||||
\(702\) | 598.079 | + | 6.39604i | 0.851964 | + | 0.00911117i | ||||
\(703\) | 234.622 | − | 513.751i | 0.333744 | − | 0.730798i | ||||
\(704\) | 429.695 | + | 196.235i | 0.610362 | + | 0.278743i | ||||
\(705\) | −588.793 | − | 86.7990i | −0.835168 | − | 0.123119i | ||||
\(706\) | 718.856 | + | 211.075i | 1.01821 | + | 0.298973i | ||||
\(707\) | − | 639.603i | − | 0.904672i | ||||||
\(708\) | 400.660 | − | 459.070i | 0.565904 | − | 0.648404i | ||||
\(709\) | −56.9999 | − | 16.7367i | −0.0803947 | − | 0.0236060i | 0.241288 | − | 0.970454i | \(-0.422430\pi\) |
−0.321683 | + | 0.946848i | \(0.604248\pi\) | |||||||
\(710\) | −277.466 | − | 39.8936i | −0.390797 | − | 0.0561881i | ||||
\(711\) | 492.769 | − | 560.560i | 0.693064 | − | 0.788411i | ||||
\(712\) | 82.4896 | − | 24.2211i | 0.115856 | − | 0.0340184i | ||||
\(713\) | −367.976 | + | 318.853i | −0.516096 | + | 0.447199i | ||||
\(714\) | 114.679 | + | 395.774i | 0.160615 | + | 0.554305i | ||||
\(715\) | 701.974 | − | 451.131i | 0.981782 | − | 0.630953i | ||||
\(716\) | 41.6852 | + | 5.99343i | 0.0582196 | + | 0.00837071i | ||||
\(717\) | −1188.85 | + | 344.480i | −1.65809 | + | 0.480446i | ||||
\(718\) | 304.343 | − | 666.418i | 0.423876 | − | 0.928158i | ||||
\(719\) | 263.105 | + | 227.982i | 0.365932 | + | 0.317082i | 0.818346 | − | 0.574726i | \(-0.194891\pi\) |
−0.452414 | + | 0.891808i | \(0.649437\pi\) | |||||||
\(720\) | −27.0602 | − | 23.7877i | −0.0375837 | − | 0.0330385i | ||||
\(721\) | −154.232 | − | 1072.71i | −0.213914 | − | 1.48780i | ||||
\(722\) | −127.085 | − | 58.0379i | −0.176019 | − | 0.0803850i | ||||
\(723\) | 160.504 | − | 22.4934i | 0.221998 | − | 0.0311111i | ||||
\(724\) | −162.879 | + | 47.8257i | −0.224972 | + | 0.0660576i | ||||
\(725\) | 47.3872 | + | 161.386i | 0.0653617 | + | 0.222601i | ||||
\(726\) | −236.014 | − | 152.869i | −0.325089 | − | 0.210563i | ||||
\(727\) | 299.677 | − | 192.591i | 0.412211 | − | 0.264912i | −0.318058 | − | 0.948071i | \(-0.603031\pi\) |
0.730270 | + | 0.683159i | \(0.239394\pi\) | |||||||
\(728\) | −926.975 | + | 423.335i | −1.27332 | + | 0.581504i | ||||
\(729\) | 88.2920 | + | 723.634i | 0.121114 | + | 0.992639i | ||||
\(730\) | 72.1599 | + | 158.008i | 0.0988491 | + | 0.216449i | ||||
\(731\) | −1357.62 | − | 195.197i | −1.85722 | − | 0.267027i | ||||
\(732\) | 265.534 | − | 409.959i | 0.362752 | − | 0.560053i | ||||
\(733\) | −78.3726 | + | 90.4468i | −0.106920 | + | 0.123393i | −0.806687 | − | 0.590979i | \(-0.798742\pi\) |
0.699767 | + | 0.714371i | \(0.253287\pi\) | |||||||
\(734\) | 164.444 | − | 255.880i | 0.224038 | − | 0.348610i | ||||
\(735\) | −5.45556 | − | 1.62304i | −0.00742253 | − | 0.00220822i | ||||
\(736\) | 344.062 | 0.467475 | ||||||||
\(737\) | −352.494 | − | 881.002i | −0.478282 | − | 1.19539i | ||||
\(738\) | 69.9874 | + | 512.695i | 0.0948339 | + | 0.694708i | ||||
\(739\) | 530.404 | + | 1161.42i | 0.717731 | + | 1.57161i | 0.817056 | + | 0.576558i | \(0.195604\pi\) |
−0.0993250 | + | 0.995055i | \(0.531668\pi\) | |||||||
\(740\) | −160.528 | + | 249.787i | −0.216930 | + | 0.337550i | ||||
\(741\) | −869.953 | + | 121.917i | −1.17403 | + | 0.164530i | ||||
\(742\) | −17.1823 | − | 119.506i | −0.0231568 | − | 0.161059i | ||||
\(743\) | −918.611 | − | 132.076i | −1.23635 | − | 0.177761i | −0.507030 | − | 0.861929i | \(-0.669257\pi\) |
−0.729325 | + | 0.684168i | \(0.760166\pi\) | |||||||
\(744\) | −1035.07 | − | 307.937i | −1.39123 | − | 0.413894i | ||||
\(745\) | −260.533 | − | 76.4993i | −0.349708 | − | 0.102684i | ||||
\(746\) | −451.278 | + | 206.092i | −0.604931 | + | 0.276263i | ||||
\(747\) | −550.990 | + | 470.600i | −0.737604 | + | 0.629987i | ||||
\(748\) | −88.2816 | − | 614.012i | −0.118024 | − | 0.820872i | ||||
\(749\) | 266.283 | + | 906.875i | 0.355518 | + | 1.21078i | ||||
\(750\) | −403.952 | − | 186.222i | −0.538603 | − | 0.248296i | ||||
\(751\) | −340.463 | + | 392.915i | −0.453346 | + | 0.523189i | −0.935704 | − | 0.352785i | \(-0.885235\pi\) |
0.482359 | + | 0.875974i | \(0.339780\pi\) | |||||||
\(752\) | −73.6199 | − | 33.6211i | −0.0978988 | − | 0.0447089i | ||||
\(753\) | 987.069 | + | 639.334i | 1.31085 | + | 0.849049i | ||||
\(754\) | 160.663 | + | 185.415i | 0.213081 | + | 0.245908i | ||||
\(755\) | 234.659 | + | 203.333i | 0.310807 | + | 0.269316i | ||||
\(756\) | −260.894 | − | 415.666i | −0.345098 | − | 0.549823i | ||||
\(757\) | 46.2761 | + | 29.7399i | 0.0611310 | + | 0.0392865i | 0.570849 | − | 0.821055i | \(-0.306614\pi\) |
−0.509718 | + | 0.860341i | \(0.670250\pi\) | |||||||
\(758\) | 427.251 | + | 61.4294i | 0.563656 | + | 0.0810415i | ||||
\(759\) | −442.823 | − | 65.2803i | −0.583429 | − | 0.0860083i | ||||
\(760\) | −319.541 | − | 205.356i | −0.420448 | − | 0.270206i | ||||
\(761\) | −430.025 | + | 372.619i | −0.565079 | + | 0.489644i | −0.889915 | − | 0.456127i | \(-0.849236\pi\) |
0.324836 | + | 0.945770i | \(0.394691\pi\) | |||||||
\(762\) | −188.716 | + | 409.363i | −0.247659 | + | 0.537222i | ||||
\(763\) | −185.487 | − | 214.063i | −0.243102 | − | 0.280554i | ||||
\(764\) | −437.484 | − | 62.9007i | −0.572623 | − | 0.0823308i | ||||
\(765\) | 70.5932 | − | 467.311i | 0.0922787 | − | 0.610864i | ||||
\(766\) | 520.818 | 0.679919 | ||||||||
\(767\) | 1462.07i | 1.90622i | ||||||||
\(768\) | 388.730 | + | 609.643i | 0.506159 | + | 0.793806i | ||||
\(769\) | 201.820 | − | 129.702i | 0.262445 | − | 0.168663i | −0.402801 | − | 0.915288i | \(-0.631963\pi\) |
0.665246 | + | 0.746625i | \(0.268327\pi\) | |||||||
\(770\) | 330.656 | + | 151.005i | 0.429423 | + | 0.196111i | ||||
\(771\) | 371.287 | + | 820.736i | 0.481566 | + | 1.06451i | ||||
\(772\) | −605.550 | + | 389.163i | −0.784391 | + | 0.504098i | ||||
\(773\) | 7.30959 | − | 24.8942i | 0.00945613 | − | 0.0322046i | −0.954630 | − | 0.297795i | \(-0.903749\pi\) |
0.964086 | + | 0.265591i | \(0.0855669\pi\) | |||||||
\(774\) | −859.328 | + | 117.306i | −1.11024 | + | 0.151558i | ||||
\(775\) | 701.922 | 0.905705 | ||||||||
\(776\) | 22.3165 | − | 76.0029i | 0.0287583 | − | 0.0979418i | ||||
\(777\) | −573.948 | + | 493.758i | −0.738672 | + | 0.635467i | ||||
\(778\) | 356.117 | + | 410.981i | 0.457734 | + | 0.528253i | ||||
\(779\) | −214.112 | − | 729.199i | −0.274855 | − | 0.936070i | ||||
\(780\) | 461.820 | + | 1.64623i | 0.592077 | + | 0.00211055i | ||||
\(781\) | 905.234 | + | 581.758i | 1.15907 | + | 0.744889i | ||||
\(782\) | 112.454 | + | 174.982i | 0.143803 | + | 0.223762i | ||||
\(783\) | −198.227 | + | 223.883i | −0.253163 | + | 0.285929i | ||||
\(784\) | −0.651149 | − | 0.418468i | −0.000830547 | − | 0.000533760i | ||||
\(785\) | −293.664 | − | 134.112i | −0.374094 | − | 0.170843i | ||||
\(786\) | 151.083 | − | 21.1730i | 0.192217 | − | 0.0269377i | ||||
\(787\) | −95.4464 | − | 110.151i | −0.121279 | − | 0.139963i | 0.691863 | − | 0.722029i | \(-0.256790\pi\) |
−0.813142 | + | 0.582066i | \(0.802245\pi\) | |||||||
\(788\) | −295.583 | + | 42.4984i | −0.375105 | + | 0.0539319i | ||||
\(789\) | −168.765 | − | 373.057i | −0.213897 | − | 0.472822i | ||||
\(790\) | −200.364 | + | 231.232i | −0.253625 | + | 0.292699i | ||||
\(791\) | 410.689 | + | 1398.68i | 0.519203 | + | 1.76824i | ||||
\(792\) | −405.959 | − | 905.963i | −0.512574 | − | 1.14389i | ||||
\(793\) | 166.796 | + | 1160.09i | 0.210335 | + | 1.46291i | ||||
\(794\) | −253.045 | − | 393.745i | −0.318696 | − | 0.495901i | ||||
\(795\) | −39.4875 | + | 132.730i | −0.0496698 | + | 0.166956i | ||||
\(796\) | 500.724 | + | 147.026i | 0.629050 | + | 0.184706i | ||||
\(797\) | −382.832 | + | 174.834i | −0.480342 | + | 0.219365i | −0.640845 | − | 0.767671i | \(-0.721416\pi\) |
0.160503 | + | 0.987035i | \(0.448688\pi\) | |||||||
\(798\) | −249.569 | − | 290.101i | −0.312743 | − | 0.363535i | ||||
\(799\) | −151.088 | − | 1050.84i | −0.189096 | − | 1.31519i | ||||
\(800\) | −374.853 | − | 324.812i | −0.468566 | − | 0.406015i | ||||
\(801\) | −90.0707 | − | 41.9125i | −0.112448 | − | 0.0523253i | ||||
\(802\) | 287.773 | + | 630.135i | 0.358819 | + | 0.785705i | ||||
\(803\) | − | 666.799i | − | 0.830384i | ||||||
\(804\) | 101.331 | − | 515.305i | 0.126034 | − | 0.640927i | ||||
\(805\) | 229.575 | 0.285186 | ||||||||
\(806\) | 931.315 | − | 425.317i | 1.15548 | − | 0.527689i | ||||
\(807\) | −1435.93 | + | 416.073i | −1.77935 | + | 0.515581i | ||||
\(808\) | 468.939 | − | 541.185i | 0.580371 | − | 0.669783i | ||||
\(809\) | 523.785 | − | 75.3090i | 0.647448 | − | 0.0930889i | 0.189236 | − | 0.981932i | \(-0.439399\pi\) |
0.458212 | + | 0.888843i | \(0.348490\pi\) | |||||||
\(810\) | −38.3086 | − | 296.383i | −0.0472946 | − | 0.365905i | ||||
\(811\) | 188.062 | + | 411.798i | 0.231889 | + | 0.507765i | 0.989428 | − | 0.145024i | \(-0.0463260\pi\) |
−0.757540 | + | 0.652789i | \(0.773599\pi\) | |||||||
\(812\) | 56.7137 | − | 193.149i | 0.0698444 | − | 0.237868i | ||||
\(813\) | 197.539 | − | 663.991i | 0.242975 | − | 0.816717i | ||||
\(814\) | −509.076 | + | 327.163i | −0.625400 | + | 0.401920i | ||||
\(815\) | 420.451 | − | 60.4518i | 0.515891 | − | 0.0741740i | ||||
\(816\) | 26.9067 | − | 58.3659i | 0.0329739 | − | 0.0715269i | ||||
\(817\) | 1222.21 | − | 358.874i | 1.49597 | − | 0.439258i | ||||
\(818\) | −125.316 | − | 108.587i | −0.153198 | − | 0.132747i | ||||
\(819\) | 1127.48 | + | 339.809i | 1.37666 | + | 0.414907i | ||||
\(820\) | 56.8605 | + | 395.473i | 0.0693420 | + | 0.482284i | ||||
\(821\) | 529.627 | − | 458.924i | 0.645100 | − | 0.558982i | −0.269672 | − | 0.962952i | \(-0.586915\pi\) |
0.914772 | + | 0.403970i | \(0.132370\pi\) | |||||||
\(822\) | 263.321 | − | 36.9023i | 0.320342 | − | 0.0448932i | ||||
\(823\) | −646.007 | + | 1414.56i | −0.784941 | + | 1.71878i | −0.0943464 | + | 0.995539i | \(0.530076\pi\) |
−0.690595 | + | 0.723242i | \(0.742651\pi\) | |||||||
\(824\) | 655.980 | − | 1020.72i | 0.796092 | − | 1.23874i | ||||
\(825\) | 420.825 | + | 489.170i | 0.510091 | + | 0.592934i | ||||
\(826\) | −535.812 | + | 344.345i | −0.648682 | + | 0.416883i | ||||
\(827\) | −434.002 | + | 675.320i | −0.524791 | + | 0.816590i | −0.997924 | − | 0.0644004i | \(-0.979487\pi\) |
0.473133 | + | 0.880991i | \(0.343123\pi\) | |||||||
\(828\) | −186.061 | − | 163.560i | −0.224711 | − | 0.197536i | ||||
\(829\) | −393.282 | + | 115.478i | −0.474405 | + | 0.139298i | −0.510190 | − | 0.860062i | \(-0.670425\pi\) |
0.0357853 | + | 0.999360i | \(0.488607\pi\) | |||||||
\(830\) | 224.493 | − | 194.525i | 0.270474 | − | 0.234367i | ||||
\(831\) | 135.281 | − | 116.380i | 0.162793 | − | 0.140048i | ||||
\(832\) | −601.921 | − | 176.740i | −0.723463 | − | 0.212428i | ||||
\(833\) | − | 10.1532i | − | 0.0121887i | ||||||
\(834\) | 84.2955 | − | 96.5844i | 0.101074 | − | 0.115809i | ||||
\(835\) | −93.6923 | − | 27.5105i | −0.112206 | − | 0.0329467i | ||||
\(836\) | 311.466 | + | 484.650i | 0.372567 | + | 0.579725i | ||||
\(837\) | 663.394 | + | 1056.94i | 0.792585 | + | 1.26278i | ||||
\(838\) | 360.537 | − | 789.466i | 0.430235 | − | 0.942084i | ||||
\(839\) | 250.954 | + | 390.491i | 0.299110 | + | 0.465425i | 0.957981 | − | 0.286831i | \(-0.0926019\pi\) |
−0.658871 | + | 0.752256i | \(0.728966\pi\) | |||||||
\(840\) | 273.754 | + | 429.327i | 0.325898 | + | 0.511103i | ||||
\(841\) | 718.343 | 0.854153 | ||||||||
\(842\) | − | 327.892i | − | 0.389421i | ||||||
\(843\) | 1165.34 | − | 743.065i | 1.38238 | − | 0.881453i | ||||
\(844\) | −74.0991 | + | 515.371i | −0.0877952 | + | 0.610629i | ||||
\(845\) | −437.388 | + | 378.999i | −0.517620 | + | 0.448520i | ||||
\(846\) | −274.513 | − | 612.620i | −0.324483 | − | 0.724137i | ||||
\(847\) | −362.549 | − | 418.403i | −0.428038 | − | 0.493983i | ||||
\(848\) | −10.1810 | + | 15.8420i | −0.0120059 | + | 0.0186816i | ||||
\(849\) | 677.816 | + | 99.9226i | 0.798370 | + | 0.117694i | ||||
\(850\) | 42.6739 | − | 296.804i | 0.0502046 | − | 0.349181i | ||||
\(851\) | −206.623 | + | 321.512i | −0.242800 | + | 0.377805i | ||||
\(852\) | 245.466 | + | 542.606i | 0.288105 | + | 0.636861i | ||||
\(853\) | 394.057 | − | 454.765i | 0.461965 | − | 0.533137i | −0.476194 | − | 0.879340i | \(-0.657984\pi\) |
0.938159 | + | 0.346204i | \(0.112529\pi\) | |||||||
\(854\) | −385.859 | + | 334.349i | −0.451825 | + | 0.391509i | ||||
\(855\) | 120.653 | + | 422.013i | 0.141115 | + | 0.493583i | ||||
\(856\) | −439.587 | + | 962.562i | −0.513537 | + | 1.12449i | ||||
\(857\) | −427.355 | − | 370.305i | −0.498664 | − | 0.432095i | 0.368864 | − | 0.929483i | \(-0.379747\pi\) |
−0.867528 | + | 0.497389i | \(0.834292\pi\) | |||||||
\(858\) | 854.758 | + | 394.043i | 0.996221 | + | 0.459258i | ||||
\(859\) | −195.242 | + | 57.3284i | −0.227290 | + | 0.0667385i | −0.393395 | − | 0.919370i | \(-0.628699\pi\) |
0.166104 | + | 0.986108i | \(0.446881\pi\) | |||||||
\(860\) | −662.853 | + | 95.3039i | −0.770759 | + | 0.110818i | ||||
\(861\) | −148.579 | + | 1007.87i | −0.172566 | + | 1.17059i | ||||
\(862\) | −5.65159 | − | 12.3753i | −0.00655637 | − | 0.0143565i | ||||
\(863\) | 375.141 | − | 1277.61i | 0.434694 | − | 1.48043i | −0.393151 | − | 0.919474i | \(-0.628615\pi\) |
0.827845 | − | 0.560957i | \(-0.189567\pi\) | |||||||
\(864\) | 134.820 | − | 871.432i | 0.156041 | − | 1.00860i | ||||
\(865\) | −33.5905 | + | 233.627i | −0.0388329 | + | 0.270089i | ||||
\(866\) | −209.462 | + | 30.1161i | −0.241873 | + | 0.0347761i | ||||
\(867\) | −23.7175 | + | 3.32381i | −0.0273558 | + | 0.00383369i | ||||
\(868\) | −706.712 | − | 454.176i | −0.814184 | − | 0.523244i | ||||
\(869\) | 1068.36 | − | 487.903i | 1.22941 | − | 0.561453i | ||||
\(870\) | 80.6052 | − | 92.3561i | 0.0926497 | − | 0.106156i | ||||
\(871\) | 629.859 | + | 1091.46i | 0.723145 | + | 1.25311i | ||||
\(872\) | − | 317.118i | − | 0.363668i | ||||||
\(873\) | −77.3530 | + | 48.9361i | −0.0886060 | + | 0.0560551i | ||||
\(874\) | −162.508 | − | 104.437i | −0.185936 | − | 0.119494i | ||||
\(875\) | −661.850 | − | 573.496i | −0.756400 | − | 0.655424i | ||||
\(876\) | 200.625 | − | 309.745i | 0.229023 | − | 0.353590i | ||||
\(877\) | 136.289 | − | 947.913i | 0.155404 | − | 1.08086i | −0.751564 | − | 0.659660i | \(-0.770700\pi\) |
0.906968 | − | 0.421199i | \(-0.138390\pi\) | |||||||
\(878\) | −310.148 | + | 141.640i | −0.353244 | + | 0.161321i | ||||
\(879\) | 339.597 | − | 216.539i | 0.386345 | − | 0.246347i | ||||
\(880\) | −23.5528 | − | 51.5734i | −0.0267645 | − | 0.0586062i | ||||
\(881\) | 600.404 | + | 934.247i | 0.681503 | + | 1.06044i | 0.993878 | + | 0.110481i | \(0.0352390\pi\) |
−0.312375 | + | 0.949959i | \(0.601125\pi\) | |||||||
\(882\) | −1.76482 | − | 6.17287i | −0.00200093 | − | 0.00699872i | ||||
\(883\) | −1472.48 | + | 432.359i | −1.66759 | + | 0.489648i | −0.973202 | − | 0.229953i | \(-0.926143\pi\) |
−0.694387 | + | 0.719602i | \(0.744324\pi\) | |||||||
\(884\) | 232.092 | + | 790.433i | 0.262548 | + | 0.894155i | ||||
\(885\) | 723.459 | − | 101.387i | 0.817467 | − | 0.114561i | ||||
\(886\) | −341.974 | + | 748.819i | −0.385975 | + | 0.845168i | ||||
\(887\) | 1505.56 | − | 216.467i | 1.69736 | − | 0.244044i | 0.775441 | − | 0.631420i | \(-0.217528\pi\) |
0.921922 | + | 0.387376i | \(0.126619\pi\) | |||||||
\(888\) | −847.642 | − | 3.02155i | −0.954552 | − | 0.00340264i | ||||
\(889\) | −581.178 | + | 670.715i | −0.653744 | + | 0.754460i | ||||
\(890\) | 37.0454 | + | 16.9181i | 0.0416241 | + | 0.0190091i | ||||
\(891\) | −338.859 | + | 1095.99i | −0.380314 | + | 1.23007i | ||||
\(892\) | 54.1481 | − | 376.608i | 0.0607042 | − | 0.422207i | ||||
\(893\) | 533.052 | + | 829.445i | 0.596923 | + | 0.928830i | ||||
\(894\) | −85.2400 | − | 294.176i | −0.0953468 | − | 0.329056i | ||||
\(895\) | 33.0647 | + | 38.1587i | 0.0369438 | + | 0.0426354i | ||||
\(896\) | 179.043 | + | 609.763i | 0.199824 | + | 0.680539i | ||||
\(897\) | 594.428 | + | 2.11893i | 0.662684 | + | 0.00236224i | ||||
\(898\) | −4.43056 | + | 30.8152i | −0.00493380 | + | 0.0343154i | ||||
\(899\) | −144.210 | + | 491.134i | −0.160412 | + | 0.546312i | ||||
\(900\) | 48.3035 | + | 353.848i | 0.0536705 | + | 0.393165i | ||||
\(901\) | −247.020 | −0.274162 | ||||||||
\(902\) | −229.409 | + | 781.294i | −0.254333 | + | 0.866179i | ||||
\(903\) | −1689.30 | − | 249.034i | −1.87076 | − | 0.275785i | ||||
\(904\) | −677.979 | + | 1484.57i | −0.749976 | + | 1.64222i | ||||
\(905\) | −185.131 | − | 84.5467i | −0.204565 | − | 0.0934218i | ||||
\(906\) | −51.0783 | + | 346.485i | −0.0563778 | + | 0.382434i | ||||
\(907\) | 102.977 | + | 30.2368i | 0.113536 | + | 0.0333372i | 0.338007 | − | 0.941144i | \(-0.390247\pi\) |
−0.224471 | + | 0.974481i | \(0.572065\pi\) | |||||||
\(908\) | − | 501.888i | − | 0.552740i | ||||||
\(909\) | −819.873 | + | 111.920i | −0.901950 | + | 0.123124i | ||||
\(910\) | −463.186 | − | 136.004i | −0.508995 | − | 0.149455i | ||||
\(911\) | 931.921 | + | 133.990i | 1.02296 | + | 0.147080i | 0.633324 | − | 0.773887i | \(-0.281690\pi\) |
0.389641 | + | 0.920967i | \(0.372599\pi\) | |||||||
\(912\) | −0.212765 | + | 59.6874i | −0.000233295 | + | 0.0654467i | ||||
\(913\) | −1094.08 | + | 321.251i | −1.19833 | + | 0.351863i | ||||
\(914\) | 295.216 | − | 255.806i | 0.322994 | − | 0.279876i | ||||
\(915\) | 562.465 | − | 162.979i | 0.614716 | − | 0.178119i | ||||
\(916\) | 648.507 | − | 416.770i | 0.707977 | − | 0.454989i | ||||
\(917\) | 297.305 | + | 42.7460i | 0.324215 | + | 0.0466151i | ||||
\(918\) | 487.254 | − | 216.255i | 0.530778 | − | 0.235571i | ||||
\(919\) | 524.664 | − | 1148.85i | 0.570908 | − | 1.25011i | −0.375405 | − | 0.926861i | \(-0.622496\pi\) |
0.946313 | − | 0.323252i | \(-0.104776\pi\) | |||||||
\(920\) | 194.249 | + | 168.318i | 0.211141 | + | 0.182954i | ||||
\(921\) | 0.0102980 | − | 2.88891i | 1.11813e−5 | − | 0.00313671i | ||||
\(922\) | −93.7135 | − | 651.792i | −0.101642 | − | 0.706933i | ||||
\(923\) | −1299.88 | − | 593.635i | −1.40832 | − | 0.643158i | ||||
\(924\) | −107.181 | − | 764.802i | −0.115996 | − | 0.827708i | ||||
\(925\) | 528.638 | − | 155.222i | 0.571501 | − | 0.167808i | ||||
\(926\) | 169.673 | + | 577.852i | 0.183232 | + | 0.624031i | ||||
\(927\) | −1348.06 | + | 385.408i | −1.45422 | + | 0.415758i | ||||
\(928\) | 304.284 | − | 195.552i | 0.327893 | − | 0.210724i | ||||
\(929\) | −456.057 | + | 208.274i | −0.490911 | + | 0.224192i | −0.645461 | − | 0.763793i | \(-0.723335\pi\) |
0.154549 | + | 0.987985i | \(0.450607\pi\) | |||||||
\(930\) | −275.036 | − | 431.337i | −0.295737 | − | 0.463803i | ||||
\(931\) | 3.91712 | + | 8.57730i | 0.00420743 | + | 0.00921299i | ||||
\(932\) | 683.217 | + | 98.2317i | 0.733065 | + | 0.105399i | ||||
\(933\) | −393.641 | − | 254.965i | −0.421909 | − | 0.273274i | ||||
\(934\) | 142.214 | − | 164.124i | 0.152264 | − | 0.175721i | ||||
\(935\) | 402.086 | − | 625.658i | 0.430038 | − | 0.669153i | ||||
\(936\) | 704.856 | + | 1114.16i | 0.753051 | + | 1.19034i | ||||
\(937\) | −527.533 | −0.563002 | −0.281501 | − | 0.959561i | \(-0.590832\pi\) | ||||
−0.281501 | + | 0.959561i | \(0.590832\pi\) | |||||||
\(938\) | −251.647 | + | 487.885i | −0.268280 | + | 0.520133i | ||||
\(939\) | 842.283 | + | 735.115i | 0.897000 | + | 0.782870i | ||||
\(940\) | −215.327 | − | 471.501i | −0.229072 | − | 0.501597i | ||||
\(941\) | −437.556 | + | 680.850i | −0.464990 | + | 0.723539i | −0.991989 | − | 0.126328i | \(-0.959681\pi\) |
0.526999 | + | 0.849866i | \(0.323317\pi\) | |||||||
\(942\) | −50.5385 | − | 360.624i | −0.0536502 | − | 0.382828i | ||||
\(943\) | 73.1875 | + | 509.030i | 0.0776114 | + | 0.539799i | ||||
\(944\) | 98.3314 | + | 14.1379i | 0.104165 | + | 0.0149766i | ||||
\(945\) | 89.9583 | − | 581.462i | 0.0951940 | − | 0.615304i | ||||
\(946\) | −1309.53 | − | 384.512i | −1.38428 | − | 0.406461i | ||||
\(947\) | 1343.48 | − | 613.547i | 1.41867 | − | 0.647885i | 0.449276 | − | 0.893393i | \(-0.351682\pi\) |
0.969395 | + | 0.245508i | \(0.0789547\pi\) | |||||||
\(948\) | 643.078 | + | 94.8015i | 0.678352 | + | 0.100002i | ||||
\(949\) | 126.023 | + | 876.506i | 0.132795 | + | 0.923610i | ||||
\(950\) | 78.4569 | + | 267.200i | 0.0825862 | + | 0.281263i | ||||
\(951\) | 278.312 | − | 603.715i | 0.292652 | − | 0.634821i | ||||
\(952\) | −594.795 | + | 686.430i | −0.624784 | + | 0.721039i | ||||
\(953\) | 480.624 | + | 219.494i | 0.504328 | + | 0.230319i | 0.651298 | − | 0.758822i | \(-0.274225\pi\) |
−0.146970 | + | 0.989141i | \(0.546952\pi\) | |||||||
\(954\) | −150.182 | + | 42.9367i | −0.157423 | + | 0.0450070i | ||||
\(955\) | −347.012 | − | 400.473i | −0.363363 | − | 0.419344i | ||||
\(956\) | −814.699 | − | 705.941i | −0.852196 | − | 0.738432i | ||||
\(957\) | −428.731 | + | 193.951i | −0.447994 | + | 0.202665i | ||||
\(958\) | 198.031 | + | 127.267i | 0.206713 | + | 0.132846i | ||||
\(959\) | 518.170 | + | 74.5016i | 0.540323 | + | 0.0776868i | ||||
\(960\) | −45.7140 | + | 310.097i | −0.0476187 | + | 0.323017i | ||||
\(961\) | 988.563 | + | 635.311i | 1.02868 | + | 0.661093i | ||||
\(962\) | 607.347 | − | 526.269i | 0.631338 | − | 0.547057i | ||||
\(963\) | 1115.88 | − | 500.022i | 1.15875 | − | 0.519233i | ||||
\(964\) | 92.4367 | + | 106.678i | 0.0958887 | + | 0.110661i | ||||
\(965\) | −854.221 | − | 122.818i | −0.885203 | − | 0.127273i | ||||
\(966\) | 139.222 | + | 218.341i | 0.144122 | + | 0.226026i | ||||
\(967\) | 1212.00 | 1.25336 | 0.626679 | − | 0.779278i | \(-0.284414\pi\) | ||||
0.626679 | + | 0.779278i | \(0.284414\pi\) | |||||||
\(968\) | − | 619.833i | − | 0.640323i | ||||||
\(969\) | −660.166 | + | 420.945i | −0.681286 | + | 0.434412i | ||||
\(970\) | 31.5665 | − | 20.2866i | 0.0325428 | − | 0.0209140i | ||||
\(971\) | −1332.29 | − | 608.437i | −1.37208 | − | 0.626609i | −0.413259 | − | 0.910613i | \(-0.635610\pi\) |
−0.958823 | + | 0.284004i | \(0.908337\pi\) | |||||||
\(972\) | −487.168 | + | 407.161i | −0.501201 | + | 0.418890i | ||||
\(973\) | 212.329 | − | 136.456i | 0.218221 | − | 0.140242i | ||||
\(974\) | 239.244 | − | 814.791i | 0.245631 | − | 0.836541i | ||||
\(975\) | −645.625 | − | 563.479i | −0.662180 | − | 0.577927i | ||||
\(976\) | 79.6344 | 0.0815926 | ||||||||
\(977\) | −389.297 | + | 1325.83i | −0.398462 | + | 1.35704i | 0.479178 | + | 0.877718i | \(0.340935\pi\) |
−0.877640 | + | 0.479320i | \(0.840883\pi\) | |||||||
\(978\) | 312.470 | + | 363.218i | 0.319499 | + | 0.371388i | ||||
\(979\) | −102.376 | − | 118.148i | −0.104572 | − | 0.120683i | ||||
\(980\) | −1.39662 | − | 4.75644i | −0.00142512 | − | 0.00485351i | ||||
\(981\) | −241.939 | + | 275.223i | −0.246625 | + | 0.280553i | ||||
\(982\) | −291.288 | − | 187.200i | −0.296628 | − | 0.190631i | ||||
\(983\) | 627.422 | + | 976.287i | 0.638272 | + | 0.993171i | 0.998187 | + | 0.0601858i | \(0.0191693\pi\) |
−0.359915 | + | 0.932985i | \(0.617194\pi\) | |||||||
\(984\) | −864.663 | + | 743.855i | −0.878723 | + | 0.755950i | ||||
\(985\) | −301.189 | − | 193.562i | −0.305775 | − | 0.196510i | ||||
\(986\) | 198.906 | + | 90.8373i | 0.201730 | + | 0.0921271i | ||||
\(987\) | −183.432 | − | 1308.91i | −0.185848 | − | 1.32615i | ||||
\(988\) | −501.018 | − | 578.206i | −0.507104 | − | 0.585229i | ||||
\(989\) | −853.186 | + | 122.670i | −0.862676 | + | 0.124034i | ||||
\(990\) | 135.706 | − | 450.273i | 0.137077 | − | 0.454821i | ||||
\(991\) | 117.666 | − | 135.794i | 0.118735 | − | 0.137027i | −0.693270 | − | 0.720678i | \(-0.743831\pi\) |
0.812005 | + | 0.583651i | \(0.198376\pi\) | |||||||
\(992\) | −425.260 | − | 1448.30i | −0.428689 | − | 1.45998i | ||||
\(993\) | 194.059 | + | 89.4612i | 0.195427 | + | 0.0900918i | ||||
\(994\) | −88.5938 | − | 616.183i | −0.0891286 | − | 0.619903i | ||||
\(995\) | 338.264 | + | 526.348i | 0.339963 | + | 0.528993i | ||||
\(996\) | −604.884 | − | 179.955i | −0.607313 | − | 0.180677i | ||||
\(997\) | −878.409 | − | 257.924i | −0.881052 | − | 0.258700i | −0.190243 | − | 0.981737i | \(-0.560927\pi\) |
−0.690809 | + | 0.723037i | \(0.742746\pi\) | |||||||
\(998\) | 941.399 | − | 429.923i | 0.943286 | − | 0.430784i | ||||
\(999\) | 733.353 | + | 649.314i | 0.734087 | + | 0.649964i |
(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.14.17 | ✓ | 440 | |
3.2 | odd | 2 | inner | 201.3.k.a.14.28 | yes | 440 | |
67.24 | even | 11 | inner | 201.3.k.a.158.28 | yes | 440 | |
201.158 | odd | 22 | inner | 201.3.k.a.158.17 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.k.a.14.17 | ✓ | 440 | 1.1 | even | 1 | trivial | |
201.3.k.a.14.28 | yes | 440 | 3.2 | odd | 2 | inner | |
201.3.k.a.158.17 | yes | 440 | 201.158 | odd | 22 | inner | |
201.3.k.a.158.28 | yes | 440 | 67.24 | even | 11 | inner |