Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 22.8 | ||
Character | \(\chi\) | \(=\) | 189.22 |
Dual form | 189.2.v.a.43.8 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.89179 | − | 1.58740i | 1.33770 | − | 1.12246i | 0.355486 | − | 0.934681i | \(-0.384315\pi\) |
0.982211 | − | 0.187780i | \(-0.0601292\pi\) | |||||||
\(3\) | −1.45321 | + | 0.942429i | −0.839013 | + | 0.544112i | ||||
\(4\) | 0.711733 | − | 4.03644i | 0.355867 | − | 2.01822i | ||||
\(5\) | 2.16637 | − | 0.788496i | 0.968832 | − | 0.352626i | 0.191344 | − | 0.981523i | \(-0.438716\pi\) |
0.777489 | + | 0.628897i | \(0.216493\pi\) | |||||||
\(6\) | −1.25316 | + | 4.08971i | −0.511601 | + | 1.66962i | ||||
\(7\) | 0.173648 | + | 0.984808i | 0.0656328 | + | 0.372222i | ||||
\(8\) | −2.59144 | − | 4.48850i | −0.916212 | − | 1.58693i | ||||
\(9\) | 1.22366 | − | 2.73910i | 0.407885 | − | 0.913033i | ||||
\(10\) | 2.84667 | − | 4.93057i | 0.900195 | − | 1.55918i | ||||
\(11\) | −4.00133 | − | 1.45636i | −1.20645 | − | 0.439110i | −0.340976 | − | 0.940072i | \(-0.610757\pi\) |
−0.865469 | + | 0.500962i | \(0.832980\pi\) | |||||||
\(12\) | 2.76976 | + | 6.53656i | 0.799560 | + | 1.88694i | ||||
\(13\) | 1.41582 | + | 1.18802i | 0.392679 | + | 0.329497i | 0.817656 | − | 0.575707i | \(-0.195273\pi\) |
−0.424977 | + | 0.905204i | \(0.639718\pi\) | |||||||
\(14\) | 1.89179 | + | 1.58740i | 0.505602 | + | 0.424251i | ||||
\(15\) | −2.40510 | + | 3.18751i | −0.620995 | + | 0.823010i | ||||
\(16\) | −4.32446 | − | 1.57397i | −1.08111 | − | 0.393493i | ||||
\(17\) | −2.58369 | + | 4.47509i | −0.626638 | + | 1.08537i | 0.361584 | + | 0.932339i | \(0.382236\pi\) |
−0.988222 | + | 0.153029i | \(0.951097\pi\) | |||||||
\(18\) | −2.03315 | − | 7.12423i | −0.479217 | − | 1.67920i | ||||
\(19\) | 0.742518 | + | 1.28608i | 0.170345 | + | 0.295047i | 0.938541 | − | 0.345169i | \(-0.112178\pi\) |
−0.768195 | + | 0.640216i | \(0.778845\pi\) | |||||||
\(20\) | −1.64083 | − | 9.30564i | −0.366902 | − | 2.08080i | ||||
\(21\) | −1.18046 | − | 1.26748i | −0.257597 | − | 0.276588i | ||||
\(22\) | −9.88150 | + | 3.59657i | −2.10674 | + | 0.766792i | ||||
\(23\) | −0.717017 | + | 4.06640i | −0.149508 | + | 0.847904i | 0.814128 | + | 0.580686i | \(0.197216\pi\) |
−0.963636 | + | 0.267218i | \(0.913896\pi\) | |||||||
\(24\) | 7.99601 | + | 4.08051i | 1.63218 | + | 0.832930i | ||||
\(25\) | 0.241230 | − | 0.202416i | 0.0482460 | − | 0.0404832i | ||||
\(26\) | 4.56430 | 0.895133 | ||||||||
\(27\) | 0.803173 | + | 5.13370i | 0.154571 | + | 0.987982i | ||||
\(28\) | 4.09871 | 0.774583 | ||||||||
\(29\) | 7.51467 | − | 6.30555i | 1.39544 | − | 1.17091i | 0.432357 | − | 0.901703i | \(-0.357682\pi\) |
0.963082 | − | 0.269209i | \(-0.0867624\pi\) | |||||||
\(30\) | 0.509899 | + | 9.84795i | 0.0930944 | + | 1.79798i | ||||
\(31\) | −0.813311 | + | 4.61252i | −0.146075 | + | 0.828432i | 0.820423 | + | 0.571757i | \(0.193738\pi\) |
−0.966498 | + | 0.256675i | \(0.917373\pi\) | |||||||
\(32\) | −0.938868 | + | 0.341720i | −0.165970 | + | 0.0604081i | ||||
\(33\) | 7.18730 | − | 1.65456i | 1.25115 | − | 0.288022i | ||||
\(34\) | 2.21595 | + | 12.5673i | 0.380032 | + | 2.15527i | ||||
\(35\) | 1.15270 | + | 1.99654i | 0.194842 | + | 0.337477i | ||||
\(36\) | −10.1853 | − | 6.88872i | −1.69755 | − | 1.14812i | ||||
\(37\) | −3.72208 | + | 6.44683i | −0.611906 | + | 1.05985i | 0.379013 | + | 0.925391i | \(0.376263\pi\) |
−0.990919 | + | 0.134461i | \(0.957070\pi\) | |||||||
\(38\) | 3.44621 | + | 1.25432i | 0.559049 | + | 0.203477i | ||||
\(39\) | −3.17712 | − | 0.392129i | −0.508746 | − | 0.0627909i | ||||
\(40\) | −9.15319 | − | 7.68044i | −1.44725 | − | 1.21438i | ||||
\(41\) | −6.88748 | − | 5.77928i | −1.07564 | − | 0.902572i | −0.0800919 | − | 0.996787i | \(-0.525521\pi\) |
−0.995552 | + | 0.0942152i | \(0.969966\pi\) | |||||||
\(42\) | −4.24519 | − | 0.523953i | −0.655046 | − | 0.0808478i | ||||
\(43\) | −5.92841 | − | 2.15777i | −0.904074 | − | 0.329056i | −0.152190 | − | 0.988351i | \(-0.548633\pi\) |
−0.751884 | + | 0.659295i | \(0.770855\pi\) | |||||||
\(44\) | −8.72640 | + | 15.1146i | −1.31555 | + | 2.27861i | ||||
\(45\) | 0.491129 | − | 6.89876i | 0.0732131 | − | 1.02841i | ||||
\(46\) | 5.09857 | + | 8.83097i | 0.751742 | + | 1.30206i | ||||
\(47\) | −1.69114 | − | 9.59096i | −0.246679 | − | 1.39899i | −0.816561 | − | 0.577259i | \(-0.804122\pi\) |
0.569882 | − | 0.821726i | \(-0.306989\pi\) | |||||||
\(48\) | 7.76772 | − | 1.78817i | 1.12117 | − | 0.258101i | ||||
\(49\) | −0.939693 | + | 0.342020i | −0.134242 | + | 0.0488600i | ||||
\(50\) | 0.135041 | − | 0.765857i | 0.0190977 | − | 0.108309i | ||||
\(51\) | −0.462795 | − | 8.93820i | −0.0648043 | − | 1.25160i | ||||
\(52\) | 5.80305 | − | 4.86934i | 0.804739 | − | 0.675256i | ||||
\(53\) | 10.2060 | 1.40190 | 0.700951 | − | 0.713209i | \(-0.252759\pi\) | ||||
0.700951 | + | 0.713209i | \(0.252759\pi\) | |||||||
\(54\) | 9.66868 | + | 8.43693i | 1.31574 | + | 1.14812i | ||||
\(55\) | −9.81671 | −1.32368 | ||||||||
\(56\) | 3.97031 | − | 3.33149i | 0.530556 | − | 0.445189i | ||||
\(57\) | −2.29108 | − | 1.16918i | −0.303460 | − | 0.154861i | ||||
\(58\) | 4.20673 | − | 23.8576i | 0.552371 | − | 3.13265i | ||||
\(59\) | −8.33107 | + | 3.03226i | −1.08461 | + | 0.394767i | −0.821623 | − | 0.570031i | \(-0.806931\pi\) |
−0.262990 | + | 0.964798i | \(0.584709\pi\) | |||||||
\(60\) | 11.1544 | + | 11.9767i | 1.44002 | + | 1.54619i | ||||
\(61\) | 0.844910 | + | 4.79172i | 0.108180 | + | 0.613517i | 0.989903 | + | 0.141750i | \(0.0452728\pi\) |
−0.881723 | + | 0.471768i | \(0.843616\pi\) | |||||||
\(62\) | 5.78329 | + | 10.0170i | 0.734479 | + | 1.27216i | ||||
\(63\) | 2.90997 | + | 0.729426i | 0.366622 | + | 0.0918991i | ||||
\(64\) | 3.36830 | − | 5.83406i | 0.421037 | − | 0.729258i | ||||
\(65\) | 4.00395 | + | 1.45732i | 0.496629 | + | 0.180758i | ||||
\(66\) | 10.9704 | − | 14.5392i | 1.35036 | − | 1.78965i | ||||
\(67\) | 0.364723 | + | 0.306039i | 0.0445581 | + | 0.0373886i | 0.664795 | − | 0.747026i | \(-0.268519\pi\) |
−0.620237 | + | 0.784415i | \(0.712963\pi\) | |||||||
\(68\) | 16.2245 | + | 13.6140i | 1.96751 | + | 1.65094i | ||||
\(69\) | −2.79032 | − | 6.58509i | −0.335915 | − | 0.792751i | ||||
\(70\) | 5.34998 | + | 1.94723i | 0.639445 | + | 0.232739i | ||||
\(71\) | 4.51932 | − | 7.82770i | 0.536345 | − | 0.928976i | −0.462752 | − | 0.886488i | \(-0.653138\pi\) |
0.999097 | − | 0.0424888i | \(-0.0135287\pi\) | |||||||
\(72\) | −15.4655 | + | 1.60582i | −1.82263 | + | 0.189248i | ||||
\(73\) | −5.54738 | − | 9.60834i | −0.649272 | − | 1.12457i | −0.983297 | − | 0.182007i | \(-0.941741\pi\) |
0.334026 | − | 0.942564i | \(-0.391593\pi\) | |||||||
\(74\) | 3.19231 | + | 18.1045i | 0.371098 | + | 2.10460i | ||||
\(75\) | −0.159796 | + | 0.521496i | −0.0184516 | + | 0.0602171i | ||||
\(76\) | 5.71966 | − | 2.08179i | 0.656090 | − | 0.238797i | ||||
\(77\) | 0.739415 | − | 4.19343i | 0.0842642 | − | 0.477886i | ||||
\(78\) | −6.63290 | + | 4.30153i | −0.751028 | + | 0.487052i | ||||
\(79\) | 3.28295 | − | 2.75472i | 0.369360 | − | 0.309930i | −0.439148 | − | 0.898415i | \(-0.644720\pi\) |
0.808508 | + | 0.588485i | \(0.200275\pi\) | |||||||
\(80\) | −10.6095 | −1.18617 | ||||||||
\(81\) | −6.00533 | − | 6.70343i | −0.667259 | − | 0.744826i | ||||
\(82\) | −22.2037 | −2.45199 | ||||||||
\(83\) | 4.66403 | − | 3.91358i | 0.511943 | − | 0.429572i | −0.349869 | − | 0.936799i | \(-0.613774\pi\) |
0.861812 | + | 0.507227i | \(0.169329\pi\) | |||||||
\(84\) | −5.95630 | + | 3.86274i | −0.649885 | + | 0.421460i | ||||
\(85\) | −2.06866 | + | 11.7319i | −0.224378 | + | 1.27251i | ||||
\(86\) | −14.6405 | + | 5.32872i | −1.57873 | + | 0.574611i | ||||
\(87\) | −4.97788 | + | 16.2454i | −0.533684 | + | 1.74168i | ||||
\(88\) | 3.83230 | + | 21.7340i | 0.408524 | + | 2.31686i | ||||
\(89\) | −5.05976 | − | 8.76376i | −0.536334 | − | 0.928957i | −0.999098 | − | 0.0424756i | \(-0.986476\pi\) |
0.462764 | − | 0.886482i | \(-0.346858\pi\) | |||||||
\(90\) | −10.0220 | − | 13.8306i | −1.05641 | − | 1.45788i | ||||
\(91\) | −0.924114 | + | 1.60061i | −0.0968735 | + | 0.167790i | ||||
\(92\) | 15.9035 | + | 5.78839i | 1.65805 | + | 0.603481i | ||||
\(93\) | −3.16505 | − | 7.46946i | −0.328201 | − | 0.774546i | ||||
\(94\) | −18.4240 | − | 15.4596i | −1.90029 | − | 1.59453i | ||||
\(95\) | 2.62264 | + | 2.20066i | 0.269077 | + | 0.225783i | ||||
\(96\) | 1.04233 | − | 1.38141i | 0.106382 | − | 0.140989i | ||||
\(97\) | 3.34126 | + | 1.21612i | 0.339254 | + | 0.123478i | 0.506029 | − | 0.862517i | \(-0.331113\pi\) |
−0.166775 | + | 0.985995i | \(0.553335\pi\) | |||||||
\(98\) | −1.23478 | + | 2.13870i | −0.124731 | + | 0.216041i | ||||
\(99\) | −8.88537 | + | 9.17794i | −0.893013 | + | 0.922418i | ||||
\(100\) | −0.645349 | − | 1.11778i | −0.0645349 | − | 0.111778i | ||||
\(101\) | 0.550590 | + | 3.12255i | 0.0547857 | + | 0.310705i | 0.999870 | − | 0.0161213i | \(-0.00513179\pi\) |
−0.945084 | + | 0.326827i | \(0.894021\pi\) | |||||||
\(102\) | −15.0640 | − | 16.1746i | −1.49156 | − | 1.60152i | ||||
\(103\) | 8.94161 | − | 3.25448i | 0.881043 | − | 0.320673i | 0.138412 | − | 0.990375i | \(-0.455800\pi\) |
0.742631 | + | 0.669701i | \(0.233578\pi\) | |||||||
\(104\) | 1.66340 | − | 9.43361i | 0.163110 | − | 0.925042i | ||||
\(105\) | −3.55672 | − | 1.81506i | −0.347101 | − | 0.177132i | ||||
\(106\) | 19.3076 | − | 16.2010i | 1.87532 | − | 1.57358i | ||||
\(107\) | 3.46942 | 0.335402 | 0.167701 | − | 0.985838i | \(-0.446366\pi\) | ||||
0.167701 | + | 0.985838i | \(0.446366\pi\) | |||||||
\(108\) | 21.2935 | + | 0.411867i | 2.04897 | + | 0.0396319i | ||||
\(109\) | 5.23503 | 0.501425 | 0.250712 | − | 0.968062i | \(-0.419335\pi\) | ||||
0.250712 | + | 0.968062i | \(0.419335\pi\) | |||||||
\(110\) | −18.5711 | + | 15.5830i | −1.77069 | + | 1.48578i | ||||
\(111\) | −0.666704 | − | 12.8764i | −0.0632808 | − | 1.22217i | ||||
\(112\) | 0.799128 | − | 4.53208i | 0.0755105 | − | 0.428241i | ||||
\(113\) | −15.1040 | + | 5.49742i | −1.42087 | + | 0.517154i | −0.934300 | − | 0.356489i | \(-0.883974\pi\) |
−0.486568 | + | 0.873643i | \(0.661752\pi\) | |||||||
\(114\) | −6.19019 | + | 1.42502i | −0.579764 | + | 0.133465i | ||||
\(115\) | 1.65302 | + | 9.37472i | 0.154145 | + | 0.874197i | ||||
\(116\) | −20.1036 | − | 34.8204i | −1.86657 | − | 3.23299i | ||||
\(117\) | 4.98658 | − | 2.42436i | 0.461010 | − | 0.224132i | ||||
\(118\) | −10.9472 | + | 18.9612i | −1.00777 | + | 1.74552i | ||||
\(119\) | −4.85575 | − | 1.76735i | −0.445126 | − | 0.162013i | ||||
\(120\) | 20.5398 | + | 2.53508i | 1.87502 | + | 0.231420i | ||||
\(121\) | 5.46313 | + | 4.58411i | 0.496648 | + | 0.416737i | ||||
\(122\) | 9.20478 | + | 7.72372i | 0.833361 | + | 0.699273i | ||||
\(123\) | 15.4555 | + | 1.90757i | 1.39358 | + | 0.172000i | ||||
\(124\) | 18.0393 | + | 6.56576i | 1.61998 | + | 0.589623i | ||||
\(125\) | −5.40053 | + | 9.35399i | −0.483038 | + | 0.836646i | ||||
\(126\) | 6.66295 | − | 3.23937i | 0.593582 | − | 0.288586i | ||||
\(127\) | 8.88379 | + | 15.3872i | 0.788309 | + | 1.36539i | 0.927002 | + | 0.375056i | \(0.122377\pi\) |
−0.138693 | + | 0.990335i | \(0.544290\pi\) | |||||||
\(128\) | −3.23587 | − | 18.3515i | −0.286013 | − | 1.62206i | ||||
\(129\) | 10.6488 | − | 2.45141i | 0.937573 | − | 0.215835i | ||||
\(130\) | 9.88799 | − | 3.59893i | 0.867234 | − | 0.315647i | ||||
\(131\) | 0.212585 | − | 1.20563i | 0.0185736 | − | 0.105336i | −0.974112 | − | 0.226068i | \(-0.927413\pi\) |
0.992685 | + | 0.120731i | \(0.0385240\pi\) | |||||||
\(132\) | −1.56309 | − | 30.1887i | −0.136049 | − | 2.62759i | ||||
\(133\) | −1.13760 | + | 0.954563i | −0.0986428 | + | 0.0827711i | ||||
\(134\) | 1.17579 | 0.101573 | ||||||||
\(135\) | 5.78788 | + | 10.4882i | 0.498141 | + | 0.902683i | ||||
\(136\) | 26.7819 | 2.29653 | ||||||||
\(137\) | 11.2460 | − | 9.43653i | 0.960813 | − | 0.806217i | −0.0202725 | − | 0.999794i | \(-0.506453\pi\) |
0.981085 | + | 0.193577i | \(0.0620089\pi\) | |||||||
\(138\) | −15.7319 | − | 8.02825i | −1.33919 | − | 0.683410i | ||||
\(139\) | −2.31501 | + | 13.1291i | −0.196356 | + | 1.11359i | 0.714118 | + | 0.700026i | \(0.246828\pi\) |
−0.910474 | + | 0.413566i | \(0.864283\pi\) | |||||||
\(140\) | 8.87934 | − | 3.23181i | 0.750441 | − | 0.273138i | ||||
\(141\) | 11.4964 | + | 12.3439i | 0.968171 | + | 1.03955i | ||||
\(142\) | −3.87608 | − | 21.9823i | −0.325273 | − | 1.84472i | ||||
\(143\) | −3.93499 | − | 6.81560i | −0.329060 | − | 0.569949i | ||||
\(144\) | −9.60292 | + | 9.91912i | −0.800243 | + | 0.826593i | ||||
\(145\) | 11.3077 | − | 19.5855i | 0.939052 | − | 1.62649i | ||||
\(146\) | −25.7468 | − | 9.37105i | −2.13082 | − | 0.775554i | ||||
\(147\) | 1.04324 | − | 1.38262i | 0.0860453 | − | 0.114037i | ||||
\(148\) | 23.3731 | + | 19.6124i | 1.92126 | + | 1.61213i | ||||
\(149\) | −0.678834 | − | 0.569609i | −0.0556122 | − | 0.0466642i | 0.614558 | − | 0.788872i | \(-0.289334\pi\) |
−0.670170 | + | 0.742208i | \(0.733779\pi\) | |||||||
\(150\) | 0.525522 | + | 1.24022i | 0.0429087 | + | 0.101264i | ||||
\(151\) | −2.66322 | − | 0.969332i | −0.216730 | − | 0.0788831i | 0.231374 | − | 0.972865i | \(-0.425678\pi\) |
−0.448103 | + | 0.893982i | \(0.647900\pi\) | |||||||
\(152\) | 3.84838 | − | 6.66559i | 0.312145 | − | 0.540651i | ||||
\(153\) | 9.09616 | + | 12.5530i | 0.735381 | + | 1.01485i | ||||
\(154\) | −5.25784 | − | 9.10684i | −0.423689 | − | 0.733850i | ||||
\(155\) | 1.87501 | + | 10.6337i | 0.150605 | + | 0.854122i | ||||
\(156\) | −3.84407 | + | 12.5452i | −0.307772 | + | 1.00442i | ||||
\(157\) | 0.665378 | − | 0.242178i | 0.0531029 | − | 0.0193279i | −0.315332 | − | 0.948981i | \(-0.602116\pi\) |
0.368435 | + | 0.929653i | \(0.379894\pi\) | |||||||
\(158\) | 1.83780 | − | 10.4227i | 0.146208 | − | 0.829186i | ||||
\(159\) | −14.8315 | + | 9.61843i | −1.17621 | + | 0.762791i | ||||
\(160\) | −1.76450 | + | 1.48059i | −0.139496 | + | 0.117051i | ||||
\(161\) | −4.12913 | −0.325421 | ||||||||
\(162\) | −22.0019 | − | 3.14862i | −1.72863 | − | 0.247379i | ||||
\(163\) | −15.0892 | −1.18187 | −0.590937 | − | 0.806717i | \(-0.701242\pi\) | ||||
−0.590937 | + | 0.806717i | \(0.701242\pi\) | |||||||
\(164\) | −28.2298 | + | 23.6876i | −2.20437 | + | 1.84969i | ||||
\(165\) | 14.2658 | − | 9.25155i | 1.11059 | − | 0.720232i | ||||
\(166\) | 2.61094 | − | 14.8074i | 0.202648 | − | 1.14927i | ||||
\(167\) | 7.22202 | − | 2.62860i | 0.558857 | − | 0.203407i | −0.0471205 | − | 0.998889i | \(-0.515004\pi\) |
0.605977 | + | 0.795482i | \(0.292782\pi\) | |||||||
\(168\) | −2.63002 | + | 8.58310i | −0.202911 | + | 0.662201i | ||||
\(169\) | −1.66425 | − | 9.43845i | −0.128019 | − | 0.726035i | ||||
\(170\) | 14.7098 | + | 25.4782i | 1.12819 | + | 1.95409i | ||||
\(171\) | 4.43129 | − | 0.460113i | 0.338869 | − | 0.0351857i | ||||
\(172\) | −12.9291 | + | 22.3939i | −0.985837 | + | 1.70752i | ||||
\(173\) | −11.6080 | − | 4.22498i | −0.882542 | − | 0.321219i | −0.139307 | − | 0.990249i | \(-0.544487\pi\) |
−0.743235 | + | 0.669030i | \(0.766710\pi\) | |||||||
\(174\) | 16.3708 | + | 38.6347i | 1.24107 | + | 2.92889i | ||||
\(175\) | 0.241230 | + | 0.202416i | 0.0182353 | + | 0.0153012i | ||||
\(176\) | 15.0113 | + | 12.5960i | 1.13152 | + | 0.949457i | ||||
\(177\) | 9.24913 | − | 12.2580i | 0.695207 | − | 0.921365i | ||||
\(178\) | −23.4836 | − | 8.54733i | −1.76017 | − | 0.640650i | ||||
\(179\) | 0.519986 | − | 0.900643i | 0.0388656 | − | 0.0673172i | −0.845938 | − | 0.533281i | \(-0.820959\pi\) |
0.884804 | + | 0.465964i | \(0.154292\pi\) | |||||||
\(180\) | −27.4969 | − | 6.89249i | −2.04950 | − | 0.513736i | ||||
\(181\) | 4.50940 | + | 7.81050i | 0.335181 | + | 0.580550i | 0.983520 | − | 0.180802i | \(-0.0578693\pi\) |
−0.648339 | + | 0.761352i | \(0.724536\pi\) | |||||||
\(182\) | 0.792583 | + | 4.49496i | 0.0587502 | + | 0.333189i | ||||
\(183\) | −5.74369 | − | 6.16713i | −0.424586 | − | 0.455887i | ||||
\(184\) | 20.1102 | − | 7.31950i | 1.48254 | − | 0.539601i | ||||
\(185\) | −2.98012 | + | 16.9011i | −0.219103 | + | 1.24259i | ||||
\(186\) | −17.8446 | − | 9.10643i | −1.30843 | − | 0.667716i | ||||
\(187\) | 16.8556 | − | 14.1435i | 1.23260 | − | 1.03427i | ||||
\(188\) | −39.9170 | −2.91124 | ||||||||
\(189\) | −4.91624 | + | 1.68243i | −0.357604 | + | 0.122379i | ||||
\(190\) | 8.45481 | 0.613376 | ||||||||
\(191\) | 3.35136 | − | 2.81213i | 0.242496 | − | 0.203478i | −0.513437 | − | 0.858127i | \(-0.671628\pi\) |
0.755933 | + | 0.654649i | \(0.227184\pi\) | |||||||
\(192\) | 0.603335 | + | 11.6525i | 0.0435419 | + | 0.840948i | ||||
\(193\) | −2.38109 | + | 13.5038i | −0.171395 | + | 0.972028i | 0.770829 | + | 0.637043i | \(0.219843\pi\) |
−0.942223 | + | 0.334985i | \(0.891269\pi\) | |||||||
\(194\) | 8.25144 | − | 3.00328i | 0.592419 | − | 0.215623i | ||||
\(195\) | −7.19202 | + | 1.65564i | −0.515031 | + | 0.118563i | ||||
\(196\) | 0.711733 | + | 4.03644i | 0.0508381 | + | 0.288317i | ||||
\(197\) | 8.02620 | + | 13.9018i | 0.571843 | + | 0.990461i | 0.996377 | + | 0.0850492i | \(0.0271047\pi\) |
−0.424534 | + | 0.905412i | \(0.639562\pi\) | |||||||
\(198\) | −2.24019 | + | 31.4674i | −0.159203 | + | 2.23629i | ||||
\(199\) | 0.866270 | − | 1.50042i | 0.0614083 | − | 0.106362i | −0.833687 | − | 0.552237i | \(-0.813774\pi\) |
0.895095 | + | 0.445875i | \(0.147108\pi\) | |||||||
\(200\) | −1.53368 | − | 0.558213i | −0.108447 | − | 0.0394716i | ||||
\(201\) | −0.818441 | − | 0.101014i | −0.0577284 | − | 0.00712501i | ||||
\(202\) | 5.99834 | + | 5.03320i | 0.422041 | + | 0.354135i | ||||
\(203\) | 7.51467 | + | 6.30555i | 0.527426 | + | 0.442563i | ||||
\(204\) | −36.4079 | − | 4.49357i | −2.54906 | − | 0.314613i | ||||
\(205\) | −19.4778 | − | 7.08934i | −1.36039 | − | 0.495141i | ||||
\(206\) | 11.7495 | − | 20.3507i | 0.818625 | − | 1.41790i | ||||
\(207\) | 10.2609 | + | 6.93986i | 0.713182 | + | 0.482354i | ||||
\(208\) | −4.25277 | − | 7.36601i | −0.294876 | − | 0.510741i | ||||
\(209\) | −1.09806 | − | 6.22740i | −0.0759543 | − | 0.430758i | ||||
\(210\) | −9.60980 | + | 2.21223i | −0.663139 | + | 0.152658i | ||||
\(211\) | −6.11404 | + | 2.22533i | −0.420908 | + | 0.153198i | −0.543786 | − | 0.839224i | \(-0.683010\pi\) |
0.122878 | + | 0.992422i | \(0.460788\pi\) | |||||||
\(212\) | 7.26395 | − | 41.1959i | 0.498890 | − | 2.82935i | ||||
\(213\) | 0.809508 | + | 15.6344i | 0.0554666 | + | 1.07125i | ||||
\(214\) | 6.56341 | − | 5.50736i | 0.448666 | − | 0.376475i | ||||
\(215\) | −14.5445 | −0.991930 | ||||||||
\(216\) | 20.9613 | − | 16.9087i | 1.42623 | − | 1.15049i | ||||
\(217\) | −4.68367 | −0.317948 | ||||||||
\(218\) | 9.90357 | − | 8.31009i | 0.670755 | − | 0.562830i | ||||
\(219\) | 17.1167 | + | 8.73496i | 1.15664 | + | 0.590254i | ||||
\(220\) | −6.98688 | + | 39.6245i | −0.471055 | + | 2.67149i | ||||
\(221\) | −8.97454 | + | 3.26647i | −0.603693 | + | 0.219726i | ||||
\(222\) | −21.7013 | − | 23.3011i | −1.45649 | − | 1.56387i | ||||
\(223\) | −4.26418 | − | 24.1834i | −0.285551 | − | 1.61944i | −0.703311 | − | 0.710882i | \(-0.748296\pi\) |
0.417760 | − | 0.908557i | \(-0.362815\pi\) | |||||||
\(224\) | −0.499561 | − | 0.865266i | −0.0333783 | − | 0.0578130i | ||||
\(225\) | −0.259255 | − | 0.908440i | −0.0172837 | − | 0.0605627i | ||||
\(226\) | −19.8471 | + | 34.3761i | −1.32021 | + | 2.28666i | ||||
\(227\) | 19.7657 | + | 7.19411i | 1.31189 | + | 0.477490i | 0.900852 | − | 0.434127i | \(-0.142943\pi\) |
0.411041 | + | 0.911617i | \(0.365165\pi\) | |||||||
\(228\) | −6.34995 | + | 8.41565i | −0.420535 | + | 0.557340i | ||||
\(229\) | 13.3188 | + | 11.1758i | 0.880131 | + | 0.738518i | 0.966206 | − | 0.257771i | \(-0.0829880\pi\) |
−0.0860749 | + | 0.996289i | \(0.527432\pi\) | |||||||
\(230\) | 18.0086 | + | 15.1110i | 1.18745 | + | 0.996390i | ||||
\(231\) | 2.87748 | + | 6.79080i | 0.189324 | + | 0.446802i | ||||
\(232\) | −47.7763 | − | 17.3892i | −3.13667 | − | 1.14165i | ||||
\(233\) | −0.973667 | + | 1.68644i | −0.0637870 | + | 0.110482i | −0.896155 | − | 0.443741i | \(-0.853651\pi\) |
0.832368 | + | 0.554223i | \(0.186985\pi\) | |||||||
\(234\) | 5.58514 | − | 12.5021i | 0.365112 | − | 0.817286i | ||||
\(235\) | −11.2261 | − | 19.4441i | −0.732309 | − | 1.26840i | ||||
\(236\) | 6.31004 | + | 35.7860i | 0.410749 | + | 2.32947i | ||||
\(237\) | −2.17469 | + | 7.09714i | −0.141262 | + | 0.461009i | ||||
\(238\) | −11.9916 | + | 4.36457i | −0.777297 | + | 0.282913i | ||||
\(239\) | −1.21595 | + | 6.89600i | −0.0786533 | + | 0.446065i | 0.919893 | + | 0.392169i | \(0.128275\pi\) |
−0.998547 | + | 0.0538963i | \(0.982836\pi\) | |||||||
\(240\) | 15.4178 | − | 9.99867i | 0.995216 | − | 0.645411i | ||||
\(241\) | 0.526166 | − | 0.441506i | 0.0338934 | − | 0.0284399i | −0.625684 | − | 0.780077i | \(-0.715180\pi\) |
0.659577 | + | 0.751637i | \(0.270735\pi\) | |||||||
\(242\) | 17.6119 | 1.13214 | ||||||||
\(243\) | 15.0445 | + | 4.08192i | 0.965107 | + | 0.261855i | ||||
\(244\) | 19.9429 | 1.27671 | ||||||||
\(245\) | −1.76604 | + | 1.48189i | −0.112828 | + | 0.0946743i | ||||
\(246\) | 32.2667 | − | 20.9254i | 2.05725 | − | 1.33416i | ||||
\(247\) | −0.476610 | + | 2.70299i | −0.0303260 | + | 0.171987i | ||||
\(248\) | 22.8109 | − | 8.30250i | 1.44850 | − | 0.527209i | ||||
\(249\) | −3.08955 | + | 10.0828i | −0.195792 | + | 0.638970i | ||||
\(250\) | 4.63186 | + | 26.2686i | 0.292945 | + | 1.66137i | ||||
\(251\) | −2.95629 | − | 5.12045i | −0.186600 | − | 0.323200i | 0.757515 | − | 0.652818i | \(-0.226413\pi\) |
−0.944114 | + | 0.329618i | \(0.893080\pi\) | |||||||
\(252\) | 5.01541 | − | 11.2268i | 0.315941 | − | 0.707220i | ||||
\(253\) | 8.79118 | − | 15.2268i | 0.552697 | − | 0.957299i | ||||
\(254\) | 41.2319 | + | 15.0072i | 2.58712 | + | 0.941634i | ||||
\(255\) | −8.05032 | − | 18.9986i | −0.504131 | − | 1.18974i | ||||
\(256\) | −24.9318 | − | 20.9202i | −1.55824 | − | 1.30751i | ||||
\(257\) | 4.67780 | + | 3.92514i | 0.291793 | + | 0.244843i | 0.776919 | − | 0.629601i | \(-0.216782\pi\) |
−0.485126 | + | 0.874444i | \(0.661226\pi\) | |||||||
\(258\) | 16.2539 | − | 21.5414i | 1.01192 | − | 1.34111i | ||||
\(259\) | −6.99522 | − | 2.54605i | −0.434662 | − | 0.158204i | ||||
\(260\) | 8.73213 | − | 15.1245i | 0.541544 | − | 0.937981i | ||||
\(261\) | −8.07617 | − | 28.2992i | −0.499903 | − | 1.75168i | ||||
\(262\) | −1.51165 | − | 2.61826i | −0.0933901 | − | 0.161756i | ||||
\(263\) | 0.140115 | + | 0.794630i | 0.00863984 | + | 0.0489990i | 0.988823 | − | 0.149095i | \(-0.0476360\pi\) |
−0.980183 | + | 0.198094i | \(0.936525\pi\) | |||||||
\(264\) | −26.0519 | − | 27.9725i | −1.60339 | − | 1.72159i | ||||
\(265\) | 22.1100 | − | 8.04739i | 1.35821 | − | 0.494347i | ||||
\(266\) | −0.636834 | + | 3.61167i | −0.0390468 | + | 0.221445i | ||||
\(267\) | 15.6121 | + | 7.96715i | 0.955447 | + | 0.487582i | ||||
\(268\) | 1.49489 | − | 1.25437i | 0.0913152 | − | 0.0766226i | ||||
\(269\) | −21.1169 | −1.28752 | −0.643761 | − | 0.765226i | \(-0.722627\pi\) | ||||
−0.643761 | + | 0.765226i | \(0.722627\pi\) | |||||||
\(270\) | 27.5985 | + | 10.6538i | 1.67959 | + | 0.648372i | ||||
\(271\) | −19.9724 | −1.21324 | −0.606620 | − | 0.794992i | \(-0.707475\pi\) | ||||
−0.606620 | + | 0.794992i | \(0.707475\pi\) | |||||||
\(272\) | 18.2167 | − | 15.2857i | 1.10455 | − | 0.926829i | ||||
\(273\) | −0.165529 | − | 3.19694i | −0.0100183 | − | 0.193488i | ||||
\(274\) | 6.29556 | − | 35.7039i | 0.380329 | − | 2.15695i | ||||
\(275\) | −1.26003 | + | 0.458614i | −0.0759827 | + | 0.0276555i | ||||
\(276\) | −28.5663 | + | 6.57612i | −1.71949 | + | 0.395836i | ||||
\(277\) | 1.28890 | + | 7.30974i | 0.0774427 | + | 0.439199i | 0.998733 | + | 0.0503238i | \(0.0160253\pi\) |
−0.921290 | + | 0.388876i | \(0.872864\pi\) | |||||||
\(278\) | 16.4616 | + | 28.5123i | 0.987299 | + | 1.71005i | ||||
\(279\) | 11.6389 | + | 7.87187i | 0.696804 | + | 0.471277i | ||||
\(280\) | 5.97432 | − | 10.3478i | 0.357034 | − | 0.618401i | ||||
\(281\) | −31.1604 | − | 11.3415i | −1.85887 | − | 0.676574i | −0.979831 | − | 0.199830i | \(-0.935961\pi\) |
−0.879042 | − | 0.476744i | \(-0.841817\pi\) | |||||||
\(282\) | 41.3435 | + | 5.10274i | 2.46197 | + | 0.303864i | ||||
\(283\) | 3.21218 | + | 2.69534i | 0.190944 | + | 0.160221i | 0.733248 | − | 0.679961i | \(-0.238003\pi\) |
−0.542304 | + | 0.840183i | \(0.682448\pi\) | |||||||
\(284\) | −28.3795 | − | 23.8132i | −1.68401 | − | 1.41305i | ||||
\(285\) | −5.88522 | − | 0.726371i | −0.348610 | − | 0.0430265i | ||||
\(286\) | −18.2633 | − | 6.64728i | −1.07993 | − | 0.393062i | ||||
\(287\) | 4.49548 | − | 7.78641i | 0.265360 | − | 0.459617i | ||||
\(288\) | −0.212846 | + | 2.98980i | −0.0125421 | + | 0.176176i | ||||
\(289\) | −4.85094 | − | 8.40207i | −0.285349 | − | 0.494239i | ||||
\(290\) | −9.69823 | − | 55.0014i | −0.569500 | − | 3.22979i | ||||
\(291\) | −6.00167 | + | 1.38162i | −0.351824 | + | 0.0809920i | ||||
\(292\) | −42.7317 | + | 15.5531i | −2.50069 | + | 0.910175i | ||||
\(293\) | −0.0506096 | + | 0.287021i | −0.00295665 | + | 0.0167680i | −0.986250 | − | 0.165258i | \(-0.947154\pi\) |
0.983294 | + | 0.182026i | \(0.0582655\pi\) | |||||||
\(294\) | −0.221175 | − | 4.27167i | −0.0128992 | − | 0.249129i | ||||
\(295\) | −15.6573 | + | 13.1380i | −0.911603 | + | 0.764926i | ||||
\(296\) | 38.5821 | 2.24254 | ||||||||
\(297\) | 4.26278 | − | 21.7113i | 0.247352 | − | 1.25982i | ||||
\(298\) | −2.18841 | −0.126771 | ||||||||
\(299\) | −5.84613 | + | 4.90549i | −0.338090 | + | 0.283692i | ||||
\(300\) | 1.99125 | + | 1.01617i | 0.114965 | + | 0.0586687i | ||||
\(301\) | 1.09553 | − | 6.21304i | 0.0631451 | − | 0.358114i | ||||
\(302\) | −6.57697 | + | 2.39382i | −0.378462 | + | 0.137749i | ||||
\(303\) | −3.74291 | − | 4.01884i | −0.215024 | − | 0.230876i | ||||
\(304\) | −1.18673 | − | 6.73030i | −0.0680638 | − | 0.386009i | ||||
\(305\) | 5.60865 | + | 9.71446i | 0.321150 | + | 0.556248i | ||||
\(306\) | 37.1346 | + | 9.30832i | 2.12284 | + | 0.532121i | ||||
\(307\) | 9.34124 | − | 16.1795i | 0.533133 | − | 0.923413i | −0.466118 | − | 0.884722i | \(-0.654348\pi\) |
0.999251 | − | 0.0386907i | \(-0.0123187\pi\) | |||||||
\(308\) | −16.4003 | − | 5.96921i | −0.934492 | − | 0.340127i | ||||
\(309\) | −9.92695 | + | 13.1563i | −0.564724 | + | 0.748435i | ||||
\(310\) | 20.4271 | + | 17.1404i | 1.16018 | + | 0.973508i | ||||
\(311\) | 9.19094 | + | 7.71211i | 0.521170 | + | 0.437314i | 0.865040 | − | 0.501704i | \(-0.167293\pi\) |
−0.343869 | + | 0.939018i | \(0.611738\pi\) | |||||||
\(312\) | 6.47323 | + | 15.2767i | 0.366475 | + | 0.864872i | ||||
\(313\) | 28.3852 | + | 10.3314i | 1.60442 | + | 0.583963i | 0.980326 | − | 0.197384i | \(-0.0632445\pi\) |
0.624098 | + | 0.781346i | \(0.285467\pi\) | |||||||
\(314\) | 0.874322 | − | 1.51437i | 0.0493408 | − | 0.0854608i | ||||
\(315\) | 6.87924 | − | 0.714290i | 0.387601 | − | 0.0402457i | ||||
\(316\) | −8.78268 | − | 15.2120i | −0.494064 | − | 0.855744i | ||||
\(317\) | −0.146198 | − | 0.829129i | −0.00821129 | − | 0.0465685i | 0.980427 | − | 0.196884i | \(-0.0630822\pi\) |
−0.988638 | + | 0.150315i | \(0.951971\pi\) | |||||||
\(318\) | −12.7898 | + | 41.7396i | −0.717215 | + | 2.34064i | ||||
\(319\) | −39.2518 | + | 14.2865i | −2.19768 | + | 0.799890i | ||||
\(320\) | 2.69686 | − | 15.2947i | 0.150759 | − | 0.854997i | ||||
\(321\) | −5.04181 | + | 3.26968i | −0.281406 | + | 0.182496i | ||||
\(322\) | −7.81145 | + | 6.55459i | −0.435315 | + | 0.365273i | ||||
\(323\) | −7.67376 | −0.426979 | ||||||||
\(324\) | −31.3322 | + | 19.4691i | −1.74068 | + | 1.08162i | ||||
\(325\) | 0.582013 | 0.0322843 | ||||||||
\(326\) | −28.5455 | + | 23.9525i | −1.58099 | + | 1.32661i | ||||
\(327\) | −7.60761 | + | 4.93364i | −0.420702 | + | 0.272831i | ||||
\(328\) | −8.09185 | + | 45.8911i | −0.446797 | + | 2.53391i | ||||
\(329\) | 9.15159 | − | 3.33091i | 0.504543 | − | 0.183639i | ||||
\(330\) | 12.3019 | − | 40.1475i | 0.677199 | − | 2.21004i | ||||
\(331\) | 0.771267 | + | 4.37407i | 0.0423927 | + | 0.240421i | 0.998640 | − | 0.0521392i | \(-0.0166040\pi\) |
−0.956247 | + | 0.292560i | \(0.905493\pi\) | |||||||
\(332\) | −12.4774 | − | 21.6115i | −0.684786 | − | 1.18608i | ||||
\(333\) | 13.1040 | + | 18.0838i | 0.718092 | + | 0.990988i | ||||
\(334\) | 9.48991 | − | 16.4370i | 0.519264 | − | 0.899392i | ||||
\(335\) | 1.03144 | + | 0.375413i | 0.0563535 | + | 0.0205110i | ||||
\(336\) | 3.10986 | + | 7.33919i | 0.169657 | + | 0.400386i | ||||
\(337\) | −0.678252 | − | 0.569121i | −0.0369467 | − | 0.0310020i | 0.624127 | − | 0.781323i | \(-0.285455\pi\) |
−0.661074 | + | 0.750321i | \(0.729899\pi\) | |||||||
\(338\) | −18.1310 | − | 15.2137i | −0.986197 | − | 0.827518i | ||||
\(339\) | 16.7685 | − | 22.2234i | 0.910737 | − | 1.20701i | ||||
\(340\) | 45.8830 | + | 16.7000i | 2.48835 | + | 0.905686i | ||||
\(341\) | 9.97182 | − | 17.2717i | 0.540004 | − | 0.935315i | ||||
\(342\) | 7.65268 | − | 7.90466i | 0.413810 | − | 0.427435i | ||||
\(343\) | −0.500000 | − | 0.866025i | −0.0269975 | − | 0.0467610i | ||||
\(344\) | 5.67798 | + | 32.2014i | 0.306136 | + | 1.73618i | ||||
\(345\) | −11.2372 | − | 12.0656i | −0.604990 | − | 0.649591i | ||||
\(346\) | −28.6667 | + | 10.4338i | −1.54113 | + | 0.560925i | ||||
\(347\) | −0.272248 | + | 1.54399i | −0.0146150 | + | 0.0828859i | −0.991243 | − | 0.132051i | \(-0.957844\pi\) |
0.976628 | + | 0.214937i | \(0.0689547\pi\) | |||||||
\(348\) | 62.0305 | + | 31.6553i | 3.32518 | + | 1.69690i | ||||
\(349\) | −9.94045 | + | 8.34103i | −0.532100 | + | 0.446485i | −0.868826 | − | 0.495118i | \(-0.835125\pi\) |
0.336726 | + | 0.941603i | \(0.390680\pi\) | |||||||
\(350\) | 0.777672 | 0.0415683 | ||||||||
\(351\) | −4.96178 | + | 8.22261i | −0.264840 | + | 0.438890i | ||||
\(352\) | 4.25439 | 0.226760 | ||||||||
\(353\) | −10.9864 | + | 9.21870i | −0.584748 | + | 0.490662i | −0.886502 | − | 0.462724i | \(-0.846872\pi\) |
0.301755 | + | 0.953386i | \(0.402428\pi\) | |||||||
\(354\) | −1.96088 | − | 37.8716i | −0.104220 | − | 2.01285i | ||||
\(355\) | 3.61844 | − | 20.5212i | 0.192047 | − | 1.08915i | ||||
\(356\) | −38.9756 | + | 14.1860i | −2.06570 | + | 0.751854i | ||||
\(357\) | 8.72205 | − | 2.00787i | 0.461620 | − | 0.106268i | ||||
\(358\) | −0.445976 | − | 2.52925i | −0.0235705 | − | 0.133675i | ||||
\(359\) | 6.74707 | + | 11.6863i | 0.356096 | + | 0.616777i | 0.987305 | − | 0.158836i | \(-0.0507741\pi\) |
−0.631209 | + | 0.775613i | \(0.717441\pi\) | |||||||
\(360\) | −32.2379 | + | 15.6733i | −1.69908 | + | 0.826055i | ||||
\(361\) | 8.39733 | − | 14.5446i | 0.441965 | − | 0.765506i | ||||
\(362\) | 20.9292 | + | 7.61762i | 1.10002 | + | 0.400373i | ||||
\(363\) | −12.2593 | − | 1.51308i | −0.643445 | − | 0.0794159i | ||||
\(364\) | 5.80305 | + | 4.86934i | 0.304163 | + | 0.255223i | ||||
\(365\) | −19.5938 | − | 16.4412i | −1.02559 | − | 0.860571i | ||||
\(366\) | −20.6556 | − | 2.54937i | −1.07968 | − | 0.133258i | ||||
\(367\) | 8.27396 | + | 3.01148i | 0.431897 | + | 0.157198i | 0.548815 | − | 0.835944i | \(-0.315079\pi\) |
−0.116918 | + | 0.993142i | \(0.537301\pi\) | |||||||
\(368\) | 9.50112 | − | 16.4564i | 0.495280 | − | 0.857851i | ||||
\(369\) | −24.2579 | + | 11.7936i | −1.26282 | + | 0.613952i | ||||
\(370\) | 21.1910 | + | 36.7039i | 1.10167 | + | 1.90815i | ||||
\(371\) | 1.77225 | + | 10.0509i | 0.0920108 | + | 0.521819i | ||||
\(372\) | −32.4027 | + | 7.45929i | −1.68000 | + | 0.386746i | ||||
\(373\) | 31.3184 | − | 11.3990i | 1.62161 | − | 0.590217i | 0.637919 | − | 0.770103i | \(-0.279795\pi\) |
0.983687 | + | 0.179887i | \(0.0575731\pi\) | |||||||
\(374\) | 9.43579 | − | 53.5130i | 0.487913 | − | 2.76709i | ||||
\(375\) | −0.967351 | − | 18.6830i | −0.0499538 | − | 0.964783i | ||||
\(376\) | −38.6666 | + | 32.4451i | −1.99408 | + | 1.67323i | ||||
\(377\) | 18.1306 | 0.933771 | ||||||||
\(378\) | −6.62981 | + | 10.9868i | −0.341000 | + | 0.565102i | ||||
\(379\) | 9.41165 | 0.483444 | 0.241722 | − | 0.970346i | \(-0.422288\pi\) | ||||
0.241722 | + | 0.970346i | \(0.422288\pi\) | |||||||
\(380\) | 10.7494 | − | 9.01985i | 0.551435 | − | 0.462709i | ||||
\(381\) | −27.4114 | − | 13.9885i | −1.40433 | − | 0.716653i | ||||
\(382\) | 1.87610 | − | 10.6399i | 0.0959897 | − | 0.544385i | ||||
\(383\) | −9.67096 | + | 3.51994i | −0.494163 | + | 0.179861i | −0.577067 | − | 0.816697i | \(-0.695803\pi\) |
0.0829039 | + | 0.996558i | \(0.473581\pi\) | |||||||
\(384\) | 21.9974 | + | 23.6191i | 1.12255 | + | 1.20531i | ||||
\(385\) | −1.70465 | − | 9.66757i | −0.0868772 | − | 0.492705i | ||||
\(386\) | 16.9315 | + | 29.3262i | 0.861790 | + | 1.49266i | ||||
\(387\) | −13.1647 | + | 13.5981i | −0.669198 | + | 0.691233i | ||||
\(388\) | 7.28688 | − | 12.6213i | 0.369935 | − | 0.640747i | ||||
\(389\) | 0.920349 | + | 0.334980i | 0.0466635 | + | 0.0169841i | 0.365246 | − | 0.930911i | \(-0.380985\pi\) |
−0.318583 | + | 0.947895i | \(0.603207\pi\) | |||||||
\(390\) | −10.9776 | + | 14.5487i | −0.555873 | + | 0.736704i | ||||
\(391\) | −16.3450 | − | 13.7150i | −0.826600 | − | 0.693600i | ||||
\(392\) | 3.97031 | + | 3.33149i | 0.200531 | + | 0.168266i | ||||
\(393\) | 0.827289 | + | 1.95238i | 0.0417312 | + | 0.0984847i | ||||
\(394\) | 37.2516 | + | 13.5585i | 1.87671 | + | 0.683066i | ||||
\(395\) | 4.94001 | − | 8.55634i | 0.248559 | − | 0.430516i | ||||
\(396\) | 30.7222 | + | 42.3975i | 1.54385 | + | 2.13055i | ||||
\(397\) | 8.29004 | + | 14.3588i | 0.416065 | + | 0.720646i | 0.995540 | − | 0.0943443i | \(-0.0300754\pi\) |
−0.579474 | + | 0.814990i | \(0.696742\pi\) | |||||||
\(398\) | −0.742972 | − | 4.21360i | −0.0372418 | − | 0.211209i | ||||
\(399\) | 0.753573 | − | 2.45929i | 0.0377259 | − | 0.123119i | ||||
\(400\) | −1.36179 | + | 0.495650i | −0.0680893 | + | 0.0247825i | ||||
\(401\) | −3.92159 | + | 22.2404i | −0.195835 | + | 1.11063i | 0.715390 | + | 0.698725i | \(0.246249\pi\) |
−0.911225 | + | 0.411909i | \(0.864862\pi\) | |||||||
\(402\) | −1.70867 | + | 1.10810i | −0.0852207 | + | 0.0552668i | ||||
\(403\) | −6.63126 | + | 5.56429i | −0.330326 | + | 0.277177i | ||||
\(404\) | 12.9959 | 0.646568 | ||||||||
\(405\) | −18.2954 | − | 9.78696i | −0.909107 | − | 0.486318i | ||||
\(406\) | 24.2256 | 1.20230 | ||||||||
\(407\) | 24.2822 | − | 20.3752i | 1.20362 | − | 1.00996i | ||||
\(408\) | −38.9198 | + | 25.2401i | −1.92682 | + | 1.24957i | ||||
\(409\) | 2.19453 | − | 12.4458i | 0.108512 | − | 0.615404i | −0.881247 | − | 0.472656i | \(-0.843295\pi\) |
0.989759 | − | 0.142748i | \(-0.0455937\pi\) | |||||||
\(410\) | −48.1015 | + | 17.5075i | −2.37557 | + | 0.864635i | ||||
\(411\) | −7.44961 | + | 24.3119i | −0.367462 | + | 1.19922i | ||||
\(412\) | −6.77247 | − | 38.4086i | −0.333656 | − | 1.89226i | ||||
\(413\) | −4.43287 | − | 7.67796i | −0.218127 | − | 0.377808i | ||||
\(414\) | 30.4278 | − | 3.15940i | 1.49545 | − | 0.155276i | ||||
\(415\) | 7.01818 | − | 12.1559i | 0.344509 | − | 0.596707i | ||||
\(416\) | −1.73524 | − | 0.631577i | −0.0850773 | − | 0.0309656i | ||||
\(417\) | −9.00900 | − | 21.2610i | −0.441173 | − | 1.04116i | ||||
\(418\) | −11.9627 | − | 10.0379i | −0.585113 | − | 0.490968i | ||||
\(419\) | −5.44354 | − | 4.56767i | −0.265934 | − | 0.223145i | 0.500063 | − | 0.865989i | \(-0.333310\pi\) |
−0.765998 | + | 0.642843i | \(0.777755\pi\) | |||||||
\(420\) | −9.85781 | + | 13.0647i | −0.481012 | + | 0.637490i | ||||
\(421\) | 2.70353 | + | 0.984003i | 0.131762 | + | 0.0479574i | 0.407059 | − | 0.913402i | \(-0.366554\pi\) |
−0.275298 | + | 0.961359i | \(0.588776\pi\) | |||||||
\(422\) | −8.03399 | + | 13.9153i | −0.391089 | + | 0.677385i | ||||
\(423\) | −28.3400 | − | 7.10382i | −1.37794 | − | 0.345400i | ||||
\(424\) | −26.4482 | − | 45.8097i | −1.28444 | − | 2.22471i | ||||
\(425\) | 0.282565 | + | 1.60251i | 0.0137064 | + | 0.0777330i | ||||
\(426\) | 26.3495 | + | 28.2921i | 1.27664 | + | 1.37076i | ||||
\(427\) | −4.57221 | + | 1.66415i | −0.221265 | + | 0.0805338i | ||||
\(428\) | 2.46930 | − | 14.0041i | 0.119358 | − | 0.676914i | ||||
\(429\) | 12.1416 | + | 6.19607i | 0.586202 | + | 0.299149i | ||||
\(430\) | −27.5152 | + | 23.0880i | −1.32690 | + | 1.11340i | ||||
\(431\) | −2.08942 | −0.100644 | −0.0503218 | − | 0.998733i | \(-0.516025\pi\) | ||||
−0.0503218 | + | 0.998733i | \(0.516025\pi\) | |||||||
\(432\) | 4.60703 | − | 23.4647i | 0.221656 | − | 1.12894i | ||||
\(433\) | −21.1971 | −1.01867 | −0.509334 | − | 0.860569i | \(-0.670108\pi\) | ||||
−0.509334 | + | 0.860569i | \(0.670108\pi\) | |||||||
\(434\) | −8.86052 | + | 7.43486i | −0.425319 | + | 0.356885i | ||||
\(435\) | 2.02545 | + | 39.1185i | 0.0971128 | + | 1.87559i | ||||
\(436\) | 3.72594 | − | 21.1309i | 0.178440 | − | 1.01199i | ||||
\(437\) | −5.76212 | + | 2.09724i | −0.275639 | + | 0.100325i | ||||
\(438\) | 46.2471 | − | 10.6463i | 2.20977 | − | 0.508702i | ||||
\(439\) | −5.75682 | − | 32.6486i | −0.274758 | − | 1.55823i | −0.739729 | − | 0.672905i | \(-0.765046\pi\) |
0.464971 | − | 0.885326i | \(-0.346065\pi\) | |||||||
\(440\) | 25.4394 | + | 44.0623i | 1.21278 | + | 2.10059i | ||||
\(441\) | −0.213033 | + | 2.99243i | −0.0101444 | + | 0.142497i | ||||
\(442\) | −11.7928 | + | 20.4257i | −0.560924 | + | 0.971549i | ||||
\(443\) | 18.9401 | + | 6.89363i | 0.899871 | + | 0.327526i | 0.750201 | − | 0.661210i | \(-0.229957\pi\) |
0.149670 | + | 0.988736i | \(0.452179\pi\) | |||||||
\(444\) | −52.4493 | − | 6.47345i | −2.48914 | − | 0.307217i | ||||
\(445\) | −17.8715 | − | 14.9960i | −0.847192 | − | 0.710878i | ||||
\(446\) | −46.4556 | − | 38.9809i | −2.19974 | − | 1.84580i | ||||
\(447\) | 1.52331 | + | 0.188011i | 0.0720499 | + | 0.00889261i | ||||
\(448\) | 6.33033 | + | 2.30405i | 0.299080 | + | 0.108856i | ||||
\(449\) | −9.86185 | + | 17.0812i | −0.465410 | + | 0.806113i | −0.999220 | − | 0.0394912i | \(-0.987426\pi\) |
0.533810 | + | 0.845604i | \(0.320760\pi\) | |||||||
\(450\) | −1.93251 | − | 1.30704i | −0.0910996 | − | 0.0616143i | ||||
\(451\) | 19.1423 | + | 33.1555i | 0.901377 | + | 1.56123i | ||||
\(452\) | 11.4400 | + | 64.8792i | 0.538090 | + | 3.05166i | ||||
\(453\) | 4.78375 | − | 1.10125i | 0.224760 | − | 0.0517411i | ||||
\(454\) | 48.8124 | − | 17.7663i | 2.29088 | − | 0.833812i | ||||
\(455\) | −0.739901 | + | 4.19619i | −0.0346871 | + | 0.196720i | ||||
\(456\) | 0.689328 | + | 13.3134i | 0.0322807 | + | 0.623455i | ||||
\(457\) | −5.28992 | + | 4.43877i | −0.247452 | + | 0.207637i | −0.758074 | − | 0.652168i | \(-0.773860\pi\) |
0.510622 | + | 0.859805i | \(0.329415\pi\) | |||||||
\(458\) | 42.9368 | 2.00631 | ||||||||
\(459\) | −25.0489 | − | 9.66964i | −1.16918 | − | 0.451340i | ||||
\(460\) | 39.0170 | 1.81918 | ||||||||
\(461\) | 10.3407 | − | 8.67688i | 0.481615 | − | 0.404123i | −0.369395 | − | 0.929272i | \(-0.620435\pi\) |
0.851010 | + | 0.525150i | \(0.175991\pi\) | |||||||
\(462\) | 16.2233 | + | 8.27904i | 0.754776 | + | 0.385176i | ||||
\(463\) | 5.03003 | − | 28.5267i | 0.233766 | − | 1.32575i | −0.611432 | − | 0.791297i | \(-0.709406\pi\) |
0.845198 | − | 0.534453i | \(-0.179483\pi\) | |||||||
\(464\) | −42.4216 | + | 15.4402i | −1.96938 | + | 0.716794i | ||||
\(465\) | −12.7463 | − | 13.6860i | −0.591097 | − | 0.634673i | ||||
\(466\) | 0.835083 | + | 4.73599i | 0.0386845 | + | 0.219390i | ||||
\(467\) | −16.4666 | − | 28.5210i | −0.761984 | − | 1.31980i | −0.941826 | − | 0.336100i | \(-0.890892\pi\) |
0.179842 | − | 0.983695i | \(-0.442441\pi\) | |||||||
\(468\) | −6.23666 | − | 21.8535i | −0.288290 | − | 1.01018i | ||||
\(469\) | −0.238056 | + | 0.412326i | −0.0109924 | + | 0.0190394i | ||||
\(470\) | −52.1030 | − | 18.9640i | −2.40333 | − | 0.874742i | ||||
\(471\) | −0.738700 | + | 0.979007i | −0.0340375 | + | 0.0451102i | ||||
\(472\) | 35.1998 | + | 29.5361i | 1.62020 | + | 1.35951i | ||||
\(473\) | 20.5790 | + | 17.2678i | 0.946224 | + | 0.793976i | ||||
\(474\) | 7.15193 | + | 16.8784i | 0.328499 | + | 0.775251i | ||||
\(475\) | 0.439441 | + | 0.159943i | 0.0201629 | + | 0.00733870i | ||||
\(476\) | −10.5898 | + | 18.3421i | −0.485383 | + | 0.840708i | ||||
\(477\) | 12.4886 | − | 27.9553i | 0.571815 | − | 1.27998i | ||||
\(478\) | 8.64639 | + | 14.9760i | 0.395477 | + | 0.684986i | ||||
\(479\) | −3.93413 | − | 22.3116i | −0.179755 | − | 1.01944i | −0.932511 | − | 0.361142i | \(-0.882387\pi\) |
0.752756 | − | 0.658300i | \(-0.228724\pi\) | |||||||
\(480\) | 1.16884 | − | 3.81452i | 0.0533500 | − | 0.174108i | ||||
\(481\) | −12.9288 | + | 4.70568i | −0.589500 | + | 0.214561i | ||||
\(482\) | 0.294550 | − | 1.67047i | 0.0134164 | − | 0.0760880i | ||||
\(483\) | 6.00051 | − | 3.89142i | 0.273033 | − | 0.177066i | ||||
\(484\) | 22.3918 | − | 18.7889i | 1.01781 | − | 0.854042i | ||||
\(485\) | 8.19733 | 0.372222 | ||||||||
\(486\) | 34.9407 | − | 16.1596i | 1.58494 | − | 0.733013i | ||||
\(487\) | −17.0293 | −0.771672 | −0.385836 | − | 0.922567i | \(-0.626087\pi\) | ||||
−0.385836 | + | 0.922567i | \(0.626087\pi\) | |||||||
\(488\) | 19.3181 | − | 16.2098i | 0.874491 | − | 0.733785i | ||||
\(489\) | 21.9278 | − | 14.2205i | 0.991608 | − | 0.643072i | ||||
\(490\) | −0.988637 | + | 5.60684i | −0.0446621 | + | 0.253291i | ||||
\(491\) | 21.8486 | − | 7.95225i | 0.986015 | − | 0.358880i | 0.201839 | − | 0.979419i | \(-0.435308\pi\) |
0.784176 | + | 0.620539i | \(0.213086\pi\) | |||||||
\(492\) | 18.7000 | − | 61.0277i | 0.843061 | − | 2.75134i | ||||
\(493\) | 8.80231 | + | 49.9204i | 0.396436 | + | 2.24830i | ||||
\(494\) | 3.38908 | + | 5.87006i | 0.152482 | + | 0.264106i | ||||
\(495\) | −12.0123 | + | 26.8889i | −0.539911 | + | 1.20857i | ||||
\(496\) | 10.7771 | − | 18.6665i | 0.483906 | − | 0.838151i | ||||
\(497\) | 8.49355 | + | 3.09140i | 0.380988 | + | 0.138668i | ||||
\(498\) | 10.1606 | + | 23.9789i | 0.455309 | + | 1.07452i | ||||
\(499\) | 16.8669 | + | 14.1530i | 0.755064 | + | 0.633574i | 0.936837 | − | 0.349766i | \(-0.113739\pi\) |
−0.181773 | + | 0.983341i | \(0.558183\pi\) | |||||||
\(500\) | 33.9131 | + | 28.4565i | 1.51664 | + | 1.27261i | ||||
\(501\) | −8.01787 | + | 10.6262i | −0.358212 | + | 0.474742i | ||||
\(502\) | −13.7209 | − | 4.99400i | −0.612394 | − | 0.222893i | ||||
\(503\) | 0.888647 | − | 1.53918i | 0.0396228 | − | 0.0686287i | −0.845534 | − | 0.533922i | \(-0.820718\pi\) |
0.885157 | + | 0.465293i | \(0.154051\pi\) | |||||||
\(504\) | −4.26698 | − | 14.9517i | −0.190066 | − | 0.666001i | ||||
\(505\) | 3.65490 | + | 6.33047i | 0.162641 | + | 0.281702i | ||||
\(506\) | −7.53991 | − | 42.7610i | −0.335190 | − | 1.90096i | ||||
\(507\) | 11.3136 | + | 12.1476i | 0.502454 | + | 0.539496i | ||||
\(508\) | 68.4323 | − | 24.9073i | 3.03619 | − | 1.10508i | ||||
\(509\) | 1.48161 | − | 8.40263i | 0.0656712 | − | 0.372440i | −0.934205 | − | 0.356735i | \(-0.883890\pi\) |
0.999877 | − | 0.0157045i | \(-0.00499911\pi\) | |||||||
\(510\) | −45.3879 | − | 23.1622i | −2.00981 | − | 1.02564i | ||||
\(511\) | 8.49908 | − | 7.13157i | 0.375977 | − | 0.315482i | ||||
\(512\) | −43.1052 | −1.90500 | ||||||||
\(513\) | −6.00598 | + | 4.84481i | −0.265171 | + | 0.213904i | ||||
\(514\) | 15.0802 | 0.665158 | ||||||||
\(515\) | 16.8047 | − | 14.1008i | 0.740505 | − | 0.621357i | ||||
\(516\) | −2.31589 | − | 44.7279i | −0.101951 | − | 1.96904i | ||||
\(517\) | −7.20110 | + | 40.8395i | −0.316704 | + | 1.79612i | ||||
\(518\) | −17.2751 | + | 6.28762i | −0.759024 | + | 0.276262i | ||||
\(519\) | 20.8507 | − | 4.79995i | 0.915243 | − | 0.210694i | ||||
\(520\) | −3.83481 | − | 21.7483i | −0.168168 | − | 0.953727i | ||||
\(521\) | 11.7032 | + | 20.2705i | 0.512726 | + | 0.888067i | 0.999891 | + | 0.0147572i | \(0.00469754\pi\) |
−0.487165 | + | 0.873310i | \(0.661969\pi\) | |||||||
\(522\) | −60.2007 | − | 40.7161i | −2.63491 | − | 1.78210i | ||||
\(523\) | −8.71910 | + | 15.1019i | −0.381260 | + | 0.660361i | −0.991243 | − | 0.132053i | \(-0.957843\pi\) |
0.609983 | + | 0.792415i | \(0.291176\pi\) | |||||||
\(524\) | −4.71515 | − | 1.71617i | −0.205982 | − | 0.0749714i | ||||
\(525\) | −0.541321 | − | 0.0668115i | −0.0236252 | − | 0.00291589i | ||||
\(526\) | 1.52646 | + | 1.28085i | 0.0665570 | + | 0.0558479i | ||||
\(527\) | −18.5401 | − | 15.5570i | −0.807618 | − | 0.677672i | ||||
\(528\) | −33.6854 | − | 4.15755i | −1.46597 | − | 0.180934i | ||||
\(529\) | 5.59140 | + | 2.03510i | 0.243104 | + | 0.0884828i | ||||
\(530\) | 29.0531 | − | 50.3214i | 1.26199 | − | 2.18582i | ||||
\(531\) | −1.88870 | + | 26.5301i | −0.0819625 | + | 1.15131i | ||||
\(532\) | 3.04337 | + | 5.27126i | 0.131947 | + | 0.228538i | ||||
\(533\) | −2.88557 | − | 16.3649i | −0.124988 | − | 0.708843i | ||||
\(534\) | 42.1819 | − | 9.71053i | 1.82539 | − | 0.420216i | ||||
\(535\) | 7.51606 | − | 2.73562i | 0.324948 | − | 0.118271i | ||||
\(536\) | 0.428500 | − | 2.43014i | 0.0185084 | − | 0.104966i | ||||
\(537\) | 0.0931408 | + | 1.79888i | 0.00401932 | + | 0.0776272i | ||||
\(538\) | −39.9488 | + | 33.5210i | −1.72232 | + | 1.44519i | ||||
\(539\) | 4.25812 | 0.183410 | ||||||||
\(540\) | 46.4545 | − | 15.8976i | 1.99908 | − | 0.684124i | ||||
\(541\) | 32.8652 | 1.41298 | 0.706492 | − | 0.707721i | \(-0.250277\pi\) | ||||
0.706492 | + | 0.707721i | \(0.250277\pi\) | |||||||
\(542\) | −37.7837 | + | 31.7043i | −1.62295 | + | 1.36181i | ||||
\(543\) | −13.9140 | − | 7.10054i | −0.597105 | − | 0.304713i | ||||
\(544\) | 0.896520 | − | 5.08442i | 0.0384380 | − | 0.217993i | ||||
\(545\) | 11.3410 | − | 4.12780i | 0.485796 | − | 0.176815i | ||||
\(546\) | −5.38797 | − | 5.78518i | −0.230584 | − | 0.247583i | ||||
\(547\) | 4.41613 | + | 25.0451i | 0.188820 | + | 1.07085i | 0.920948 | + | 0.389685i | \(0.127416\pi\) |
−0.732128 | + | 0.681167i | \(0.761473\pi\) | |||||||
\(548\) | −30.0858 | − | 52.1102i | −1.28520 | − | 2.22604i | ||||
\(549\) | 14.1589 | + | 3.54913i | 0.604287 | + | 0.151473i | ||||
\(550\) | −1.65571 | + | 2.86777i | −0.0705997 | + | 0.122282i | ||||
\(551\) | 13.6892 | + | 4.98247i | 0.583180 | + | 0.212260i | ||||
\(552\) | −22.3263 | + | 29.5892i | −0.950268 | + | 1.25940i | ||||
\(553\) | 3.28295 | + | 2.75472i | 0.139605 | + | 0.117143i | ||||
\(554\) | 14.0418 | + | 11.7825i | 0.596579 | + | 0.500589i | ||||
\(555\) | −11.5973 | − | 27.3694i | −0.492279 | − | 1.16177i | ||||
\(556\) | 51.3470 | + | 18.6888i | 2.17760 | + | 0.792580i | ||||
\(557\) | −16.9050 | + | 29.2804i | −0.716289 | + | 1.24065i | 0.246171 | + | 0.969226i | \(0.420827\pi\) |
−0.962460 | + | 0.271423i | \(0.912506\pi\) | |||||||
\(558\) | 34.5142 | − | 3.58371i | 1.46110 | − | 0.151710i | ||||
\(559\) | −5.83013 | − | 10.0981i | −0.246588 | − | 0.427103i | ||||
\(560\) | −1.84231 | − | 10.4483i | −0.0778520 | − | 0.441521i | ||||
\(561\) | −11.1655 | + | 36.4387i | −0.471407 | + | 1.53844i | ||||
\(562\) | −76.9523 | + | 28.0084i | −3.24604 | + | 1.18146i | ||||
\(563\) | −2.03505 | + | 11.5413i | −0.0857671 | + | 0.486410i | 0.911421 | + | 0.411474i | \(0.134986\pi\) |
−0.997188 | + | 0.0749351i | \(0.976125\pi\) | |||||||
\(564\) | 58.0079 | − | 37.6189i | 2.44257 | − | 1.58404i | ||||
\(565\) | −28.3863 | + | 23.8189i | −1.19422 | + | 1.00207i | ||||
\(566\) | 10.3554 | 0.435268 | ||||||||
\(567\) | 5.55878 | − | 7.07814i | 0.233447 | − | 0.297254i | ||||
\(568\) | −46.8462 | −1.96562 | ||||||||
\(569\) | −28.8259 | + | 24.1878i | −1.20844 | + | 1.01400i | −0.209096 | + | 0.977895i | \(0.567052\pi\) |
−0.999348 | + | 0.0361092i | \(0.988504\pi\) | |||||||
\(570\) | −12.2866 | + | 7.96806i | −0.514631 | + | 0.333745i | ||||
\(571\) | 1.37286 | − | 7.78588i | 0.0574525 | − | 0.325829i | −0.942513 | − | 0.334170i | \(-0.891544\pi\) |
0.999965 | + | 0.00834107i | \(0.00265508\pi\) | |||||||
\(572\) | −30.3114 | + | 11.0325i | −1.26738 | + | 0.461290i | ||||
\(573\) | −2.22001 | + | 7.24504i | −0.0927424 | + | 0.302666i | ||||
\(574\) | −3.85563 | − | 21.8664i | −0.160931 | − | 0.912685i | ||||
\(575\) | 0.650139 | + | 1.12607i | 0.0271127 | + | 0.0469605i | ||||
\(576\) | −11.8584 | − | 16.3650i | −0.494102 | − | 0.681874i | ||||
\(577\) | 15.5650 | − | 26.9593i | 0.647978 | − | 1.12233i | −0.335627 | − | 0.941995i | \(-0.608948\pi\) |
0.983605 | − | 0.180336i | \(-0.0577184\pi\) | |||||||
\(578\) | −22.5144 | − | 8.19457i | −0.936475 | − | 0.340849i | ||||
\(579\) | −9.26618 | − | 21.8680i | −0.385089 | − | 0.908802i | ||||
\(580\) | −71.0075 | − | 59.5824i | −2.94843 | − | 2.47402i | ||||
\(581\) | 4.66403 | + | 3.91358i | 0.193496 | + | 0.162363i | ||||
\(582\) | −9.16072 | + | 12.1408i | −0.379724 | + | 0.503252i | ||||
\(583\) | −40.8375 | − | 14.8636i | −1.69132 | − | 0.615589i | ||||
\(584\) | −28.7514 | + | 49.7989i | −1.18974 | + | 2.06069i | ||||
\(585\) | 8.89121 | − | 9.18397i | 0.367606 | − | 0.379710i | ||||
\(586\) | 0.359875 | + | 0.623322i | 0.0148663 | + | 0.0257492i | ||||
\(587\) | 7.01467 | + | 39.7822i | 0.289526 | + | 1.64199i | 0.688654 | + | 0.725090i | \(0.258202\pi\) |
−0.399128 | + | 0.916895i | \(0.630687\pi\) | |||||||
\(588\) | −4.83836 | − | 5.19505i | −0.199530 | − | 0.214240i | ||||
\(589\) | −6.53596 | + | 2.37890i | −0.269310 | + | 0.0980207i | ||||
\(590\) | −8.76500 | + | 49.7088i | −0.360849 | + | 2.04648i | ||||
\(591\) | −24.7652 | − | 12.6381i | −1.01871 | − | 0.519863i | ||||
\(592\) | 26.2431 | − | 22.0206i | 1.07858 | − | 0.905040i | ||||
\(593\) | −27.0218 | −1.10965 | −0.554826 | − | 0.831966i | \(-0.687215\pi\) | ||||
−0.554826 | + | 0.831966i | \(0.687215\pi\) | |||||||
\(594\) | −26.4003 | − | 47.8400i | −1.08322 | − | 1.96290i | ||||
\(595\) | −11.9129 | −0.488382 | ||||||||
\(596\) | −2.78234 | + | 2.33466i | −0.113969 | + | 0.0956315i | ||||
\(597\) | 0.155168 | + | 2.99683i | 0.00635059 | + | 0.122652i | ||||
\(598\) | −3.27268 | + | 18.5603i | −0.133830 | + | 0.758987i | ||||
\(599\) | 1.90984 | − | 0.695125i | 0.0780340 | − | 0.0284020i | −0.302708 | − | 0.953083i | \(-0.597891\pi\) |
0.380742 | + | 0.924681i | \(0.375669\pi\) | |||||||
\(600\) | 2.75484 | − | 0.634180i | 0.112466 | − | 0.0258903i | ||||
\(601\) | −3.25966 | − | 18.4865i | −0.132964 | − | 0.754078i | −0.976256 | − | 0.216622i | \(-0.930496\pi\) |
0.843291 | − | 0.537457i | \(-0.180615\pi\) | |||||||
\(602\) | −7.79007 | − | 13.4928i | −0.317500 | − | 0.549925i | ||||
\(603\) | 1.28457 | − | 0.624527i | 0.0523117 | − | 0.0254327i | ||||
\(604\) | −5.80815 | + | 10.0600i | −0.236330 | + | 0.409336i | ||||
\(605\) | 15.4497 | + | 5.62324i | 0.628121 | + | 0.228617i | ||||
\(606\) | −13.4603 | − | 1.66131i | −0.546787 | − | 0.0674861i | ||||
\(607\) | 15.1305 | + | 12.6960i | 0.614128 | + | 0.515315i | 0.895952 | − | 0.444152i | \(-0.146495\pi\) |
−0.281824 | + | 0.959466i | \(0.590939\pi\) | |||||||
\(608\) | −1.13661 | − | 0.953726i | −0.0460955 | − | 0.0386787i | ||||
\(609\) | −16.8629 | − | 2.08128i | −0.683321 | − | 0.0843375i | ||||
\(610\) | 26.0311 | + | 9.47455i | 1.05397 | + | 0.383613i | ||||
\(611\) | 8.99987 | − | 15.5882i | 0.364096 | − | 0.630632i | ||||
\(612\) | 57.1433 | − | 27.7817i | 2.30988 | − | 1.12301i | ||||
\(613\) | 13.3707 | + | 23.1587i | 0.540036 | + | 0.935370i | 0.998901 | + | 0.0468643i | \(0.0149228\pi\) |
−0.458865 | + | 0.888506i | \(0.651744\pi\) | |||||||
\(614\) | −8.01168 | − | 45.4365i | −0.323325 | − | 1.83367i | ||||
\(615\) | 34.9866 | − | 8.05412i | 1.41080 | − | 0.324773i | ||||
\(616\) | −20.7384 | + | 7.54815i | −0.835573 | + | 0.304124i | ||||
\(617\) | 2.62537 | − | 14.8892i | 0.105693 | − | 0.599416i | −0.885248 | − | 0.465119i | \(-0.846011\pi\) |
0.990941 | − | 0.134297i | \(-0.0428775\pi\) | |||||||
\(618\) | 2.10459 | + | 40.6470i | 0.0846588 | + | 1.63506i | ||||
\(619\) | 14.6021 | − | 12.2526i | 0.586907 | − | 0.492473i | −0.300300 | − | 0.953845i | \(-0.597087\pi\) |
0.887207 | + | 0.461372i | \(0.152643\pi\) | |||||||
\(620\) | 44.2569 | 1.77740 | ||||||||
\(621\) | −21.4516 | − | 0.414924i | −0.860823 | − | 0.0166503i | ||||
\(622\) | 29.6295 | 1.18804 | ||||||||
\(623\) | 7.75200 | − | 6.50470i | 0.310578 | − | 0.260605i | ||||
\(624\) | 13.1221 | + | 6.69645i | 0.525305 | + | 0.268072i | ||||
\(625\) | −4.59740 | + | 26.0731i | −0.183896 | + | 1.04293i | ||||
\(626\) | 70.0987 | − | 25.5139i | 2.80171 | − | 1.01974i | ||||
\(627\) | 7.46459 | + | 8.01490i | 0.298107 | + | 0.320084i | ||||
\(628\) | −0.503964 | − | 2.85812i | −0.0201104 | − | 0.114051i | ||||
\(629\) | −19.2334 | − | 33.3132i | −0.766886 | − | 1.32829i | ||||
\(630\) | 11.8802 | − | 12.2714i | 0.473319 | − | 0.488904i | ||||
\(631\) | 20.9950 | − | 36.3645i | 0.835799 | − | 1.44765i | −0.0575785 | − | 0.998341i | \(-0.518338\pi\) |
0.893378 | − | 0.449306i | \(-0.148329\pi\) | |||||||
\(632\) | −20.8721 | − | 7.59683i | −0.830249 | − | 0.302186i | ||||
\(633\) | 6.78779 | − | 8.99592i | 0.269790 | − | 0.357556i | ||||
\(634\) | −1.59274 | − | 1.33646i | −0.0632556 | − | 0.0530778i | ||||
\(635\) | 31.3784 | + | 26.3296i | 1.24521 | + | 1.04486i | ||||
\(636\) | 28.2681 | + | 66.7122i | 1.12090 | + | 2.64531i | ||||
\(637\) | −1.73677 | − | 0.632131i | −0.0688132 | − | 0.0250459i | ||||
\(638\) | −51.5778 | + | 89.3354i | −2.04198 | + | 3.53682i | ||||
\(639\) | −15.9107 | − | 21.9573i | −0.629419 | − | 0.868617i | ||||
\(640\) | −21.4802 | − | 37.2048i | −0.849080 | − | 1.47065i | ||||
\(641\) | 6.91815 | + | 39.2348i | 0.273250 | + | 1.54968i | 0.744465 | + | 0.667662i | \(0.232705\pi\) |
−0.471215 | + | 0.882019i | \(0.656184\pi\) | |||||||
\(642\) | −4.34775 | + | 14.1889i | −0.171592 | + | 0.559992i | ||||
\(643\) | 12.0097 | − | 4.37117i | 0.473616 | − | 0.172382i | −0.0941737 | − | 0.995556i | \(-0.530021\pi\) |
0.567790 | + | 0.823174i | \(0.307799\pi\) | |||||||
\(644\) | −2.93884 | + | 16.6670i | −0.115807 | + | 0.656772i | ||||
\(645\) | 21.1363 | − | 13.7072i | 0.832242 | − | 0.539720i | ||||
\(646\) | −14.5171 | + | 12.1813i | −0.571169 | + | 0.479268i | ||||
\(647\) | 20.4715 | 0.804816 | 0.402408 | − | 0.915460i | \(-0.368173\pi\) | ||||
0.402408 | + | 0.915460i | \(0.368173\pi\) | |||||||
\(648\) | −14.5259 | + | 44.3265i | −0.570632 | + | 1.74131i | ||||
\(649\) | 37.7514 | 1.48187 | ||||||||
\(650\) | 1.10105 | − | 0.923888i | 0.0431866 | − | 0.0362379i | ||||
\(651\) | 6.80637 | − | 4.41403i | 0.266763 | − | 0.172999i | ||||
\(652\) | −10.7395 | + | 60.9065i | −0.420590 | + | 2.38528i | ||||
\(653\) | 34.6720 | − | 12.6196i | 1.35682 | − | 0.493843i | 0.441752 | − | 0.897137i | \(-0.354357\pi\) |
0.915070 | + | 0.403295i | \(0.132135\pi\) | |||||||
\(654\) | −6.56034 | + | 21.4097i | −0.256530 | + | 0.837187i | ||||
\(655\) | −0.490095 | − | 2.77947i | −0.0191496 | − | 0.108603i | ||||
\(656\) | 20.6882 | + | 35.8330i | 0.807738 | + | 1.39904i | ||||
\(657\) | −33.1063 | + | 3.43752i | −1.29160 | + | 0.134110i | ||||
\(658\) | 12.0254 | − | 20.8286i | 0.468799 | − | 0.811983i | ||||
\(659\) | 30.1670 | + | 10.9799i | 1.17514 | + | 0.427715i | 0.854482 | − | 0.519481i | \(-0.173875\pi\) |
0.320656 | + | 0.947196i | \(0.396097\pi\) | |||||||
\(660\) | −27.1899 | − | 64.1675i | −1.05837 | − | 2.49772i | ||||
\(661\) | −22.3881 | − | 18.7859i | −0.870798 | − | 0.730686i | 0.0934683 | − | 0.995622i | \(-0.470205\pi\) |
−0.964266 | + | 0.264936i | \(0.914649\pi\) | |||||||
\(662\) | 8.40248 | + | 7.05052i | 0.326572 | + | 0.274026i | ||||
\(663\) | 9.96351 | − | 13.2047i | 0.386951 | − | 0.512829i | ||||
\(664\) | −29.6527 | − | 10.7927i | −1.15075 | − | 0.418838i | ||||
\(665\) | −1.71181 | + | 2.96494i | −0.0663810 | + | 0.114975i | ||||
\(666\) | 53.4962 | + | 13.4096i | 2.07294 | + | 0.519611i | ||||
\(667\) | 20.2528 | + | 35.0789i | 0.784191 | + | 1.35826i | ||||
\(668\) | −5.47004 | − | 31.0221i | −0.211642 | − | 1.20028i | ||||
\(669\) | 28.9879 | + | 31.1249i | 1.12074 | + | 1.20336i | ||||
\(670\) | 2.54719 | − | 0.927103i | 0.0984067 | − | 0.0358171i | ||||
\(671\) | 3.59773 | − | 20.4037i | 0.138889 | − | 0.787678i | ||||
\(672\) | 1.54142 | + | 0.786614i | 0.0594616 | + | 0.0303443i | ||||
\(673\) | −28.0872 | + | 23.5680i | −1.08268 | + | 0.908479i | −0.996141 | − | 0.0877689i | \(-0.972026\pi\) |
−0.0865426 | + | 0.996248i | \(0.527582\pi\) | |||||||
\(674\) | −2.18653 | −0.0842221 | ||||||||
\(675\) | 1.23289 | + | 1.07583i | 0.0474541 | + | 0.0414086i | ||||
\(676\) | −39.2822 | −1.51086 | ||||||||
\(677\) | −3.50587 | + | 2.94177i | −0.134741 | + | 0.113061i | −0.707668 | − | 0.706545i | \(-0.750253\pi\) |
0.572926 | + | 0.819607i | \(0.305808\pi\) | |||||||
\(678\) | −3.55503 | − | 68.6602i | −0.136530 | − | 2.63688i | ||||
\(679\) | −0.617440 | + | 3.50168i | −0.0236952 | + | 0.134382i | ||||
\(680\) | 58.0197 | − | 21.1174i | 2.22495 | − | 0.809817i | ||||
\(681\) | −35.5036 | + | 8.17315i | −1.36050 | + | 0.313196i | ||||
\(682\) | −8.55251 | − | 48.5037i | −0.327493 | − | 1.85730i | ||||
\(683\) | −8.88306 | − | 15.3859i | −0.339901 | − | 0.588726i | 0.644513 | − | 0.764594i | \(-0.277060\pi\) |
−0.984414 | + | 0.175868i | \(0.943727\pi\) | |||||||
\(684\) | 1.29668 | − | 18.2141i | 0.0495797 | − | 0.696433i | ||||
\(685\) | 16.9224 | − | 29.3105i | 0.646573 | − | 1.11990i | ||||
\(686\) | −2.32062 | − | 0.844638i | −0.0886018 | − | 0.0322484i | ||||
\(687\) | −29.8875 | − | 3.68880i | −1.14028 | − | 0.140736i | ||||
\(688\) | 22.2409 | + | 18.6623i | 0.847926 | + | 0.711495i | ||||
\(689\) | 14.4499 | + | 12.1249i | 0.550498 | + | 0.461922i | ||||
\(690\) | −40.4114 | − | 4.98769i | −1.53843 | − | 0.189878i | ||||
\(691\) | −22.0512 | − | 8.02596i | −0.838865 | − | 0.305322i | −0.113373 | − | 0.993552i | \(-0.536166\pi\) |
−0.725492 | + | 0.688230i | \(0.758388\pi\) | |||||||
\(692\) | −25.3157 | + | 43.8480i | −0.962358 | + | 1.66685i | ||||
\(693\) | −10.5814 | − | 7.15665i | −0.401956 | − | 0.271859i | ||||
\(694\) | 1.93590 | + | 3.35308i | 0.0734858 | + | 0.127281i | ||||
\(695\) | 5.33703 | + | 30.2678i | 0.202445 | + | 1.14812i | ||||
\(696\) | 85.8172 | − | 19.7556i | 3.25289 | − | 0.748835i | ||||
\(697\) | 43.6579 | − | 15.8902i | 1.65366 | − | 0.601884i | ||||
\(698\) | −5.56469 | + | 31.5589i | −0.210627 | + | 1.19452i | ||||
\(699\) | −0.174405 | − | 3.36837i | −0.00659659 | − | 0.127403i | ||||
\(700\) | 0.988731 | − | 0.829644i | 0.0373705 | − | 0.0313576i | ||||
\(701\) | 31.1815 | 1.17771 | 0.588855 | − | 0.808239i | \(-0.299579\pi\) | ||||
0.588855 | + | 0.808239i | \(0.299579\pi\) | |||||||
\(702\) | 3.66593 | + | 23.4318i | 0.138361 | + | 0.884375i | ||||
\(703\) | −11.0548 | −0.416941 | ||||||||
\(704\) | −21.9742 | + | 18.4385i | −0.828183 | + | 0.694928i | ||||
\(705\) | 34.6386 | + | 17.6767i | 1.30457 | + | 0.665743i | ||||
\(706\) | −6.15023 | + | 34.8797i | −0.231467 | + | 1.31271i | ||||
\(707\) | −2.97950 | + | 1.08445i | −0.112056 | + | 0.0407849i | ||||
\(708\) | −42.8956 | − | 46.0580i | −1.61212 | − | 1.73096i | ||||
\(709\) | −6.38759 | − | 36.2258i | −0.239891 | − | 1.36049i | −0.832065 | − | 0.554679i | \(-0.812841\pi\) |
0.592174 | − | 0.805810i | \(-0.298270\pi\) | |||||||
\(710\) | −25.7300 | − | 44.5657i | −0.965630 | − | 1.67252i | ||||
\(711\) | −3.52825 | − | 12.3631i | −0.132320 | − | 0.463654i | ||||
\(712\) | −26.2241 | + | 45.4215i | −0.982791 | + | 1.70224i | ||||
\(713\) | −18.1732 | − | 6.61450i | −0.680591 | − | 0.247715i | ||||
\(714\) | 13.3130 | − | 17.6438i | 0.498226 | − | 0.660304i | ||||
\(715\) | −13.8987 | − | 11.6624i | −0.519783 | − | 0.436150i | ||||
\(716\) | −3.26530 | − | 2.73991i | −0.122030 | − | 0.102395i | ||||
\(717\) | −4.73195 | − | 11.1673i | −0.176718 | − | 0.417051i | ||||
\(718\) | 31.3148 | + | 11.3977i | 1.16866 | + | 0.425357i | ||||
\(719\) | 1.96034 | − | 3.39541i | 0.0731084 | − | 0.126627i | −0.827154 | − | 0.561976i | \(-0.810041\pi\) |
0.900262 | + | 0.435348i | \(0.143375\pi\) | |||||||
\(720\) | −12.9823 | + | 29.0604i | −0.483823 | + | 1.08302i | ||||
\(721\) | 4.75773 | + | 8.24063i | 0.177187 | + | 0.306897i | ||||
\(722\) | −7.20212 | − | 40.8453i | −0.268035 | − | 1.52010i | ||||
\(723\) | −0.348544 | + | 1.13748i | −0.0129625 | + | 0.0423032i | ||||
\(724\) | 34.7361 | − | 12.6429i | 1.29096 | − | 0.469870i | ||||
\(725\) | 0.536418 | − | 3.04218i | 0.0199221 | − | 0.112984i | ||||
\(726\) | −25.5938 | + | 16.5980i | −0.949876 | + | 0.616008i | ||||
\(727\) | 27.0901 | − | 22.7313i | 1.00472 | − | 0.843059i | 0.0170869 | − | 0.999854i | \(-0.494561\pi\) |
0.987631 | + | 0.156795i | \(0.0501164\pi\) | |||||||
\(728\) | 9.57914 | 0.355027 | ||||||||
\(729\) | −25.7098 | + | 8.24651i | −0.952216 | + | 0.305426i | ||||
\(730\) | −63.1661 | −2.33788 | ||||||||
\(731\) | 24.9734 | − | 20.9552i | 0.923674 | − | 0.775054i | ||||
\(732\) | −28.9812 | + | 18.7947i | −1.07118 | + | 0.694673i | ||||
\(733\) | −1.46966 | + | 8.33484i | −0.0542830 | + | 0.307854i | −0.999845 | − | 0.0175867i | \(-0.994402\pi\) |
0.945562 | + | 0.325441i | \(0.105513\pi\) | |||||||
\(734\) | 20.4330 | − | 7.43701i | 0.754196 | − | 0.274505i | ||||
\(735\) | 1.16987 | − | 3.81787i | 0.0431511 | − | 0.140824i | ||||
\(736\) | −0.716388 | − | 4.06284i | −0.0264064 | − | 0.149758i | ||||
\(737\) | −1.01367 | − | 1.75573i | −0.0373391 | − | 0.0646732i | ||||
\(738\) | −27.1697 | + | 60.8181i | −1.00013 | + | 2.23875i | ||||
\(739\) | −23.4339 | + | 40.5887i | −0.862030 | + | 1.49308i | 0.00793649 | + | 0.999969i | \(0.497474\pi\) |
−0.869966 | + | 0.493111i | \(0.835860\pi\) | |||||||
\(740\) | 66.0991 | + | 24.0581i | 2.42985 | + | 0.884394i | ||||
\(741\) | −1.85476 | − | 4.37719i | −0.0681363 | − | 0.160800i | ||||
\(742\) | 19.3076 | + | 16.2010i | 0.708805 | + | 0.594758i | ||||
\(743\) | 5.94333 | + | 4.98705i | 0.218040 | + | 0.182957i | 0.745265 | − | 0.666769i | \(-0.232323\pi\) |
−0.527225 | + | 0.849726i | \(0.676768\pi\) | |||||||
\(744\) | −25.3246 | + | 33.5630i | −0.928446 | + | 1.23048i | ||||
\(745\) | −1.91974 | − | 0.698729i | −0.0703339 | − | 0.0255995i | ||||
\(746\) | 41.1531 | − | 71.2793i | 1.50672 | − | 2.60972i | ||||
\(747\) | −5.01253 | − | 17.5641i | −0.183399 | − | 0.642637i | ||||
\(748\) | −45.0927 | − | 78.1028i | −1.64875 | − | 2.85572i | ||||
\(749\) | 0.602459 | + | 3.41671i | 0.0220134 | + | 0.124844i | ||||
\(750\) | −31.4873 | − | 33.8086i | −1.14976 | − | 1.23452i | ||||
\(751\) | −36.7987 | + | 13.3936i | −1.34280 | + | 0.488740i | −0.910694 | − | 0.413081i | \(-0.864453\pi\) |
−0.432109 | + | 0.901821i | \(0.642230\pi\) | |||||||
\(752\) | −7.78264 | + | 44.1375i | −0.283804 | + | 1.60953i | ||||
\(753\) | 9.12179 | + | 4.65501i | 0.332416 | + | 0.169638i | ||||
\(754\) | 34.2992 | − | 28.7805i | 1.24910 | − | 1.04812i | ||||
\(755\) | −6.53384 | −0.237791 | ||||||||
\(756\) | 3.29197 | + | 21.0416i | 0.119728 | + | 0.765274i | ||||
\(757\) | −25.8155 | −0.938280 | −0.469140 | − | 0.883124i | \(-0.655436\pi\) | ||||
−0.469140 | + | 0.883124i | \(0.655436\pi\) | |||||||
\(758\) | 17.8049 | − | 14.9401i | 0.646702 | − | 0.542647i | ||||
\(759\) | 1.57469 | + | 30.4128i | 0.0571576 | + | 1.10391i | ||||
\(760\) | 3.08124 | − | 17.4746i | 0.111768 | − | 0.633870i | ||||
\(761\) | 0.464634 | − | 0.169113i | 0.0168430 | − | 0.00613034i | −0.333585 | − | 0.942720i | \(-0.608258\pi\) |
0.350428 | + | 0.936590i | \(0.386036\pi\) | |||||||
\(762\) | −74.0619 | + | 17.0495i | −2.68298 | + | 0.617638i | ||||
\(763\) | 0.909053 | + | 5.15550i | 0.0329099 | + | 0.186642i | ||||
\(764\) | −8.96570 | − | 15.5291i | −0.324368 | − | 0.561821i | ||||
\(765\) | 29.6036 | + | 20.0221i | 1.07032 | + | 0.723901i | ||||
\(766\) | −12.7079 | + | 22.0107i | −0.459154 | + | 0.795278i | ||||
\(767\) | −15.3977 | − | 5.60431i | −0.555980 | − | 0.202360i | ||||
\(768\) | 55.9470 | + | 6.90515i | 2.01881 | + | 0.249168i | ||||
\(769\) | 29.4108 | + | 24.6786i | 1.06058 | + | 0.889933i | 0.994166 | − | 0.107859i | \(-0.0343995\pi\) |
0.0664148 | + | 0.997792i | \(0.478844\pi\) | |||||||
\(770\) | −18.5711 | − | 15.5830i | −0.669258 | − | 0.561574i | ||||
\(771\) | −10.4970 | − | 1.29557i | −0.378040 | − | 0.0466588i | ||||
\(772\) | 52.8128 | + | 19.2223i | 1.90077 | + | 0.691825i | ||||
\(773\) | −26.4568 | + | 45.8246i | −0.951586 | + | 1.64819i | −0.209591 | + | 0.977789i | \(0.567213\pi\) |
−0.741995 | + | 0.670406i | \(0.766120\pi\) | |||||||
\(774\) | −3.31909 | + | 46.6224i | −0.119302 | + | 1.67581i | ||||
\(775\) | 0.737452 | + | 1.27730i | 0.0264901 | + | 0.0458821i | ||||
\(776\) | −3.20012 | − | 18.1488i | −0.114878 | − | 0.651503i | ||||
\(777\) | 12.5650 | − | 2.89254i | 0.450767 | − | 0.103769i | ||||
\(778\) | 2.27285 | − | 0.827251i | 0.0814857 | − | 0.0296584i | ||||
\(779\) | 2.31854 | − | 13.1491i | 0.0830702 | − | 0.471114i | ||||
\(780\) | 1.56411 | + | 30.2085i | 0.0560042 | + | 1.08164i | ||||
\(781\) | −29.4832 | + | 24.7394i | −1.05499 | + | 0.885245i | ||||
\(782\) | −52.6925 | −1.88428 | ||||||||
\(783\) | 38.4064 | + | 33.5136i | 1.37253 | + | 1.19768i | ||||
\(784\) | 4.60199 | 0.164357 | ||||||||
\(785\) | 1.25050 | − | 1.04929i | 0.0446323 | − | 0.0374509i | ||||
\(786\) | 4.66427 | + | 2.38026i | 0.166369 | + | 0.0849011i | ||||
\(787\) | 3.45256 | − | 19.5805i | 0.123071 | − | 0.697968i | −0.859364 | − | 0.511364i | \(-0.829141\pi\) |
0.982435 | − | 0.186605i | \(-0.0597483\pi\) | |||||||
\(788\) | 61.8262 | − | 22.5029i | 2.20247 | − | 0.801633i | ||||
\(789\) | −0.952499 | − | 1.02272i | −0.0339098 | − | 0.0364097i | ||||
\(790\) | −4.23689 | − | 24.0286i | −0.150742 | − | 0.854898i | ||||
\(791\) | −8.03669 | − | 13.9200i | −0.285752 | − | 0.494936i | ||||
\(792\) | 64.2211 | + | 16.0979i | 2.28200 | + | 0.572016i | ||||
\(793\) | −4.49641 | + | 7.78801i | −0.159672 | + | 0.276560i | ||||
\(794\) | 38.4761 | + | 14.0042i | 1.36547 | + | 0.496989i | ||||
\(795\) | −24.5465 | + | 32.5317i | −0.870574 | + | 1.15378i | ||||
\(796\) | −5.43982 | − | 4.56455i | −0.192809 | − | 0.161786i | ||||
\(797\) | −18.3195 | − | 15.3719i | −0.648910 | − | 0.544500i | 0.257830 | − | 0.966190i | \(-0.416992\pi\) |
−0.906740 | + | 0.421690i | \(0.861437\pi\) | |||||||
\(798\) | −2.47828 | − | 5.84869i | −0.0877302 | − | 0.207041i | ||||
\(799\) | 47.2898 | + | 17.2121i | 1.67299 | + | 0.608919i | ||||
\(800\) | −0.157314 | + | 0.272475i | −0.00556187 | + | 0.00963345i | ||||
\(801\) | −30.1962 | + | 3.13536i | −1.06693 | + | 0.110782i | ||||
\(802\) | 27.8856 | + | 48.2993i | 0.984676 | + | 1.70551i | ||||
\(803\) | 8.20363 | + | 46.5251i | 0.289500 | + | 1.64184i | ||||
\(804\) | −0.990250 | + | 3.23169i | −0.0349234 | + | 0.113973i | ||||
\(805\) | −8.94525 | + | 3.25581i | −0.315279 | + | 0.114752i | ||||
\(806\) | −3.71220 | + | 21.0529i | −0.130757 | + | 0.741557i | ||||
\(807\) | 30.6874 | − | 19.9012i | 1.08025 | − | 0.700556i | ||||
\(808\) | 12.5888 | − | 10.5632i | 0.442871 | − | 0.371613i | ||||
\(809\) | −10.8494 | −0.381446 | −0.190723 | − | 0.981644i | \(-0.561083\pi\) | ||||
−0.190723 | + | 0.981644i | \(0.561083\pi\) | |||||||
\(810\) | −50.1469 | + | 10.5273i | −1.76198 | + | 0.369891i | ||||
\(811\) | 34.8198 | 1.22269 | 0.611344 | − | 0.791365i | \(-0.290629\pi\) | ||||
0.611344 | + | 0.791365i | \(0.290629\pi\) | |||||||
\(812\) | 30.8004 | − | 25.8446i | 1.08088 | − | 0.906969i | ||||
\(813\) | 29.0242 | − | 18.8226i | 1.01792 | − | 0.660138i | ||||
\(814\) | 13.5932 | − | 77.0910i | 0.476442 | − | 2.70204i | ||||
\(815\) | −32.6888 | + | 11.8977i | −1.14504 | + | 0.416760i | ||||
\(816\) | −12.0672 | + | 39.3813i | −0.422435 | + | 1.37862i | ||||
\(817\) | −1.62690 | − | 9.22659i | −0.0569179 | − | 0.322797i | ||||
\(818\) | −15.6048 | − | 27.0284i | −0.545610 | − | 0.945025i | ||||
\(819\) | 3.25344 | + | 4.48984i | 0.113684 | + | 0.156888i | ||||
\(820\) | −42.4787 | + | 73.5753i | −1.48342 | + | 2.56936i | ||||
\(821\) | −48.5338 | − | 17.6649i | −1.69384 | − | 0.616508i | −0.698742 | − | 0.715374i | \(-0.746256\pi\) |
−0.995101 | + | 0.0988658i | \(0.968479\pi\) | |||||||
\(822\) | 24.4996 | + | 57.8185i | 0.854521 | + | 2.01665i | ||||
\(823\) | −25.4953 | − | 21.3931i | −0.888710 | − | 0.745716i | 0.0792407 | − | 0.996856i | \(-0.474750\pi\) |
−0.967951 | + | 0.251139i | \(0.919195\pi\) | |||||||
\(824\) | −37.7794 | − | 31.7007i | −1.31611 | − | 1.10434i | ||||
\(825\) | 1.39888 | − | 1.85395i | 0.0487028 | − | 0.0645464i | ||||
\(826\) | −20.5741 | − | 7.48834i | −0.715863 | − | 0.260553i | ||||
\(827\) | 15.1251 | − | 26.1975i | 0.525953 | − | 0.910977i | −0.473590 | − | 0.880745i | \(-0.657042\pi\) |
0.999543 | − | 0.0302318i | \(-0.00962455\pi\) | |||||||
\(828\) | 35.3153 | − | 36.4782i | 1.22729 | − | 1.26770i | ||||
\(829\) | 2.45328 | + | 4.24921i | 0.0852060 | + | 0.147581i | 0.905479 | − | 0.424391i | \(-0.139512\pi\) |
−0.820273 | + | 0.571972i | \(0.806178\pi\) | |||||||
\(830\) | −6.01927 | − | 34.1370i | −0.208932 | − | 1.18491i | ||||
\(831\) | −8.76196 | − | 9.40790i | −0.303949 | − | 0.326357i | ||||
\(832\) | 11.6999 | − | 4.25841i | 0.405621 | − | 0.147634i | ||||
\(833\) | 0.897307 | − | 5.08888i | 0.0310898 | − | 0.176319i | ||||
\(834\) | −50.7929 | − | 25.9205i | −1.75881 | − | 0.897555i | ||||
\(835\) | 13.5730 | − | 11.3891i | 0.469712 | − | 0.394135i | ||||
\(836\) | −25.9180 | −0.896394 | ||||||||
\(837\) | −24.3325 | − | 0.470648i | −0.841055 | − | 0.0162680i | ||||
\(838\) | −17.5488 | −0.606212 | ||||||||
\(839\) | 4.33870 | − | 3.64060i | 0.149788 | − | 0.125687i | −0.564814 | − | 0.825218i | \(-0.691052\pi\) |
0.714602 | + | 0.699531i | \(0.246608\pi\) | |||||||
\(840\) | 1.07013 | + | 20.6680i | 0.0369230 | + | 0.713113i | ||||
\(841\) | 11.6744 | − | 66.2089i | 0.402566 | − | 2.28306i | ||||
\(842\) | 6.67651 | − | 2.43005i | 0.230088 | − | 0.0837451i | ||||
\(843\) | 55.9712 | − | 12.8849i | 1.92775 | − | 0.443779i | ||||
\(844\) | 4.63084 | + | 26.2628i | 0.159400 | + | 0.904003i | ||||
\(845\) | −11.0476 | − | 19.1350i | −0.380048 | − | 0.658263i | ||||
\(846\) | −64.8899 | + | 31.5479i | −2.23096 | + | 1.08464i | ||||
\(847\) | −3.56580 | + | 6.17615i | −0.122522 | + | 0.212215i | ||||
\(848\) | −44.1354 | − | 16.0640i | −1.51562 | − | 0.551639i | ||||
\(849\) | −7.20816 | − | 0.889652i | −0.247383 | − | 0.0305328i | ||||
\(850\) | 3.07837 | + | 2.58306i | 0.105587 | + | 0.0885982i | ||||
\(851\) | −23.5466 | − | 19.7580i | −0.807167 | − | 0.677294i | ||||
\(852\) | 63.6837 | + | 7.86003i | 2.18177 | + | 0.269280i | ||||
\(853\) | −11.3983 | − | 4.14866i | −0.390272 | − | 0.142047i | 0.139429 | − | 0.990232i | \(-0.455473\pi\) |
−0.529700 | + | 0.848185i | \(0.677696\pi\) | |||||||
\(854\) | −6.00799 | + | 10.4061i | −0.205589 | + | 0.356091i | ||||
\(855\) | 9.23703 | − | 4.49083i | 0.315900 | − | 0.153583i | ||||
\(856\) | −8.99079 | − | 15.5725i | −0.307299 | − | 0.532257i | ||||
\(857\) | −2.43075 | − | 13.7855i | −0.0830330 | − | 0.470903i | −0.997764 | − | 0.0668395i | \(-0.978708\pi\) |
0.914731 | − | 0.404064i | \(-0.132403\pi\) | |||||||
\(858\) | 32.8050 | − | 7.55190i | 1.11994 | − | 0.257818i | ||||
\(859\) | 32.4970 | − | 11.8279i | 1.10878 | − | 0.403564i | 0.278235 | − | 0.960513i | \(-0.410250\pi\) |
0.830547 | + | 0.556949i | \(0.188028\pi\) | |||||||
\(860\) | −10.3518 | + | 58.7082i | −0.352995 | + | 2.00193i | ||||
\(861\) | 0.805238 | + | 15.5520i | 0.0274424 | + | 0.530010i | ||||
\(862\) | −3.95274 | + | 3.31674i | −0.134631 | + | 0.112969i | ||||
\(863\) | −44.4881 | −1.51439 | −0.757197 | − | 0.653187i | \(-0.773432\pi\) | ||||
−0.757197 | + | 0.653187i | \(0.773432\pi\) | |||||||
\(864\) | −2.50836 | − | 4.54541i | −0.0853363 | − | 0.154638i | ||||
\(865\) | −28.4787 | −0.968305 | ||||||||
\(866\) | −40.1005 | + | 33.6483i | −1.36267 | + | 1.14342i | ||||
\(867\) | 14.9678 | + | 7.63833i | 0.508333 | + | 0.259411i | ||||
\(868\) | −3.33352 | + | 18.9054i | −0.113147 | + | 0.641690i | ||||
\(869\) | −17.1480 | + | 6.24137i | −0.581707 | + | 0.211724i | ||||
\(870\) | 65.9285 | + | 70.7889i | 2.23519 | + | 2.39997i | ||||
\(871\) | 0.152804 | + | 0.866596i | 0.00517757 | + | 0.0293635i | ||||
\(872\) | −13.5663 | − | 23.4974i | −0.459411 | − | 0.795724i | ||||
\(873\) | 7.41963 | − | 7.66394i | 0.251116 | − | 0.259385i | ||||
\(874\) | −7.57156 | + | 13.1143i | −0.256112 | + | 0.443599i | ||||
\(875\) | −10.1497 | − | 3.69418i | −0.343122 | − | 0.124886i | ||||
\(876\) | 47.4407 | − | 62.8736i | 1.60287 | − | 2.12430i | ||||
\(877\) | 28.4199 | + | 23.8471i | 0.959671 | + | 0.805259i | 0.980899 | − | 0.194515i | \(-0.0623134\pi\) |
−0.0212287 | + | 0.999775i | \(0.506758\pi\) | |||||||
\(878\) | −62.7170 | − | 52.6258i | −2.11660 | − | 1.77604i | ||||
\(879\) | −0.196951 | − | 0.464799i | −0.00664298 | − | 0.0156773i | ||||
\(880\) | 42.4519 | + | 15.4512i | 1.43105 | + | 0.520861i | ||||
\(881\) | 6.15675 | − | 10.6638i | 0.207426 | − | 0.359273i | −0.743477 | − | 0.668762i | \(-0.766825\pi\) |
0.950903 | + | 0.309489i | \(0.100158\pi\) | |||||||
\(882\) | 4.34716 | + | 5.99921i | 0.146377 | + | 0.202004i | ||||
\(883\) | −14.8114 | − | 25.6540i | −0.498442 | − | 0.863327i | 0.501557 | − | 0.865125i | \(-0.332761\pi\) |
−0.999998 | + | 0.00179824i | \(0.999428\pi\) | |||||||
\(884\) | 6.79741 | + | 38.5500i | 0.228622 | + | 1.29658i | ||||
\(885\) | 10.3717 | − | 33.8482i | 0.348642 | − | 1.13780i | ||||
\(886\) | 46.7736 | − | 17.0242i | 1.57139 | − | 0.571939i | ||||
\(887\) | 1.63111 | − | 9.25051i | 0.0547675 | − | 0.310602i | −0.945102 | − | 0.326776i | \(-0.894038\pi\) |
0.999869 | + | 0.0161745i | \(0.00514874\pi\) | |||||||
\(888\) | −56.0681 | + | 36.3609i | −1.88152 | + | 1.22019i | ||||
\(889\) | −13.6108 | + | 11.4208i | −0.456490 | + | 0.383041i | ||||
\(890\) | −57.6138 | −1.93122 | ||||||||
\(891\) | 14.2667 | + | 35.5686i | 0.477951 | + | 1.19159i | ||||
\(892\) | −100.650 | −3.37000 | ||||||||
\(893\) | 11.0790 | − | 9.29641i | 0.370746 | − | 0.311093i | ||||
\(894\) | 3.18022 | − | 2.06242i | 0.106363 | − | 0.0689776i | ||||
\(895\) | 0.416332 | − | 2.36114i | 0.0139164 | − | 0.0789241i | ||||
\(896\) | 17.5108 | − | 6.37342i | 0.584996 | − | 0.212921i | ||||
\(897\) | 3.87260 | − | 12.6383i | 0.129302 | − | 0.421980i | ||||
\(898\) | 8.45819 | + | 47.9688i | 0.282254 | + | 1.60074i | ||||
\(899\) | 22.9727 | + | 39.7899i | 0.766183 | + | 1.32707i | ||||
\(900\) | −3.85139 | + | 0.399900i | −0.128380 | + | 0.0133300i | ||||
\(901\) | −26.3692 | + | 45.6727i | −0.878484 | + | 1.52158i | ||||
\(902\) | 88.8442 | + | 32.3367i | 2.95819 | + | 1.07669i | ||||
\(903\) | 4.26331 | + | 10.0613i | 0.141874 | + | 0.334820i | ||||
\(904\) | 63.8164 | + | 53.5483i | 2.12250 | + | 1.78099i | ||||
\(905\) | 15.9276 | + | 13.3648i | 0.529451 | + | 0.444262i | ||||
\(906\) | 7.30173 | − | 9.67705i | 0.242584 | − | 0.321499i | ||||
\(907\) | −7.22317 | − | 2.62902i | −0.239842 | − | 0.0872952i | 0.219303 | − | 0.975657i | \(-0.429622\pi\) |
−0.459144 | + | 0.888362i | \(0.651844\pi\) | |||||||
\(908\) | 43.1065 | − | 74.6626i | 1.43054 | − | 2.47777i | ||||
\(909\) | 9.22671 | + | 2.31281i | 0.306031 | + | 0.0767110i | ||||
\(910\) | 5.26129 | + | 9.11282i | 0.174410 | + | 0.302087i | ||||
\(911\) | −5.76536 | − | 32.6970i | −0.191015 | − | 1.08330i | −0.917981 | − | 0.396625i | \(-0.870181\pi\) |
0.726966 | − | 0.686674i | \(-0.240930\pi\) | |||||||
\(912\) | 8.06741 | + | 8.66215i | 0.267139 | + | 0.286832i | ||||
\(913\) | −24.3619 | + | 8.86700i | −0.806261 | + | 0.293455i | ||||
\(914\) | −2.96131 | + | 16.7944i | −0.0979515 | + | 0.555511i | ||||
\(915\) | −17.3057 | − | 8.83143i | −0.572110 | − | 0.291958i | ||||
\(916\) | 54.5899 | − | 45.8063i | 1.80370 | − | 1.51348i | ||||
\(917\) | 1.22423 | 0.0404276 | ||||||||
\(918\) | −62.7369 | + | 21.4697i | −2.07063 | + | 0.708607i | ||||
\(919\) | −12.4758 | −0.411539 | −0.205769 | − | 0.978601i | \(-0.565970\pi\) | ||||
−0.205769 | + | 0.978601i | \(0.565970\pi\) | |||||||
\(920\) | 37.7948 | − | 31.7136i | 1.24606 | − | 1.04557i | ||||
\(921\) | 1.67322 | + | 32.3157i | 0.0551344 | + | 1.06484i | ||||
\(922\) | 5.78876 | − | 32.8297i | 0.190643 | − | 1.08119i | ||||
\(923\) | 15.6980 | − | 5.71361i | 0.516706 | − | 0.188066i | ||||
\(924\) | 29.4586 | − | 6.78155i | 0.969118 | − | 0.223097i | ||||
\(925\) | 0.407064 | + | 2.30858i | 0.0133842 | + | 0.0759055i | ||||
\(926\) | −35.7676 | − | 61.9513i | −1.17540 | − | 2.03585i | ||||
\(927\) | 2.02711 | − | 28.4743i | 0.0665791 | − | 0.935219i | ||||
\(928\) | −4.90055 | + | 8.48800i | −0.160868 | + | 0.278632i | ||||
\(929\) | −34.4759 | − | 12.5482i | −1.13112 | − | 0.411693i | −0.292419 | − | 0.956290i | \(-0.594460\pi\) |
−0.838698 | + | 0.544597i | \(0.816682\pi\) | |||||||
\(930\) | −45.8385 | − | 5.65753i | −1.50310 | − | 0.185518i | ||||
\(931\) | −1.13760 | − | 0.954563i | −0.0372835 | − | 0.0312845i | ||||
\(932\) | 6.11422 | + | 5.13044i | 0.200278 | + | 0.168053i | ||||
\(933\) | −20.6245 | − | 2.54554i | −0.675216 | − | 0.0833372i | ||||
\(934\) | −76.4256 | − | 27.8167i | −2.50072 | − | 0.910189i | ||||
\(935\) | 25.3634 | − | 43.9306i | 0.829470 | − | 1.43668i | ||||
\(936\) | −23.8042 | − | 16.0997i | −0.778064 | − | 0.526236i | ||||
\(937\) | 1.60111 | + | 2.77321i | 0.0523061 | + | 0.0905969i | 0.890993 | − | 0.454017i | \(-0.150010\pi\) |
−0.838687 | + | 0.544614i | \(0.816676\pi\) | |||||||
\(938\) | 0.204173 | + | 1.15792i | 0.00666649 | + | 0.0378076i | ||||
\(939\) | −50.9862 | + | 11.7373i | −1.66387 | + | 0.383033i | ||||
\(940\) | −86.4751 | + | 31.4744i | −2.82051 | + | 1.02658i | ||||
\(941\) | 8.32334 | − | 47.2040i | 0.271333 | − | 1.53881i | −0.479040 | − | 0.877793i | \(-0.659015\pi\) |
0.750373 | − | 0.661014i | \(-0.229874\pi\) | |||||||
\(942\) | 0.156610 | + | 3.02469i | 0.00510262 | + | 0.0985497i | ||||
\(943\) | 28.4393 | − | 23.8634i | 0.926112 | − | 0.777100i | ||||
\(944\) | 40.8001 | 1.32793 | ||||||||
\(945\) | −9.32383 | + | 7.52121i | −0.303304 | + | 0.244665i | ||||
\(946\) | 66.3421 | 2.15697 | ||||||||
\(947\) | −29.3812 | + | 24.6538i | −0.954761 | + | 0.801139i | −0.980093 | − | 0.198540i | \(-0.936380\pi\) |
0.0253322 | + | 0.999679i | \(0.491936\pi\) | |||||||
\(948\) | 27.0994 | + | 13.8293i | 0.880147 | + | 0.449154i | ||||
\(949\) | 3.56077 | − | 20.1941i | 0.115587 | − | 0.655529i | ||||
\(950\) | 1.08522 | − | 0.394989i | 0.0352093 | − | 0.0128151i | ||||
\(951\) | 0.993852 | + | 1.06712i | 0.0322279 | + | 0.0346037i | ||||
\(952\) | 4.65063 | + | 26.3750i | 0.150728 | + | 0.854820i | ||||
\(953\) | 10.7999 | + | 18.7059i | 0.349842 | + | 0.605944i | 0.986221 | − | 0.165432i | \(-0.0529020\pi\) |
−0.636379 | + | 0.771376i | \(0.719569\pi\) | |||||||
\(954\) | −20.7503 | − | 72.7099i | −0.671816 | − | 2.35407i | ||||
\(955\) | 5.04295 | − | 8.73465i | 0.163186 | − | 0.282647i | ||||
\(956\) | 26.9699 | + | 9.81623i | 0.872268 | + | 0.317479i | ||||
\(957\) | 43.5772 | − | 57.7533i | 1.40865 | − | 1.86690i | ||||
\(958\) | −42.8600 | − | 35.9638i | −1.38474 | − | 1.16194i | ||||
\(959\) | 11.2460 | + | 9.43653i | 0.363153 | + | 0.304722i | ||||
\(960\) | 10.4950 | + | 24.7680i | 0.338725 | + | 0.799383i | ||||
\(961\) | 8.51664 | + | 3.09981i | 0.274730 | + | 0.0999937i | ||||
\(962\) | −16.9887 | + | 29.4253i | −0.547737 | + | 0.948709i | ||||
\(963\) | 4.24538 | − | 9.50309i | 0.136805 | − | 0.306233i | ||||
\(964\) | −1.40762 | − | 2.43807i | −0.0453365 | − | 0.0785251i | ||||
\(965\) | 5.48939 | + | 31.1319i | 0.176710 | + | 1.00217i | ||||
\(966\) | 5.17447 | − | 16.8870i | 0.166486 | − | 0.543329i | ||||
\(967\) | −21.0939 | + | 7.67754i | −0.678333 | + | 0.246893i | −0.658132 | − | 0.752903i | \(-0.728653\pi\) |
−0.0202013 | + | 0.999796i | \(0.506431\pi\) | |||||||
\(968\) | 6.41842 | − | 36.4007i | 0.206296 | − | 1.16996i | ||||
\(969\) | 11.1516 | − | 7.23197i | 0.358241 | − | 0.232324i | ||||
\(970\) | 15.5076 | − | 13.0124i | 0.497920 | − | 0.417804i | ||||
\(971\) | 8.75981 | 0.281116 | 0.140558 | − | 0.990072i | \(-0.455110\pi\) | ||||
0.140558 | + | 0.990072i | \(0.455110\pi\) | |||||||
\(972\) | 27.1841 | − | 57.8211i | 0.871930 | − | 1.85461i | ||||
\(973\) | −13.3316 | −0.427391 | ||||||||
\(974\) | −32.2159 | + | 27.0323i | −1.03226 | + | 0.866172i | ||||
\(975\) | −0.845789 | + | 0.548506i | −0.0270869 | + | 0.0175663i | ||||
\(976\) | 3.88827 | − | 22.0515i | 0.124460 | − | 0.705851i | ||||
\(977\) | 49.6848 | − | 18.0838i | 1.58956 | − | 0.578551i | 0.612303 | − | 0.790623i | \(-0.290243\pi\) |
0.977254 | + | 0.212072i | \(0.0680212\pi\) | |||||||
\(978\) | 18.9092 | − | 61.7103i | 0.604649 | − | 1.97328i | ||||
\(979\) | 7.48253 | + | 42.4355i | 0.239143 | + | 1.35625i | ||||
\(980\) | 4.72460 | + | 8.18324i | 0.150922 | + | 0.261404i | ||||
\(981\) | 6.40587 | − | 14.3393i | 0.204524 | − | 0.457817i | ||||
\(982\) | 28.7096 | − | 49.7265i | 0.916160 | − | 1.58684i | ||||
\(983\) | −55.0815 | − | 20.0480i | −1.75683 | − | 0.639432i | −0.756925 | − | 0.653502i | \(-0.773299\pi\) |
−0.999901 | + | 0.0140696i | \(0.995521\pi\) | |||||||
\(984\) | −31.4900 | − | 74.3156i | −1.00386 | − | 2.36909i | ||||
\(985\) | 28.3493 | + | 23.7878i | 0.903282 | + | 0.757944i | ||||
\(986\) | 95.8958 | + | 80.4661i | 3.05394 | + | 2.56256i | ||||
\(987\) | −10.1601 | + | 13.4652i | −0.323398 | + | 0.428603i | ||||
\(988\) | 10.5712 | + | 3.84761i | 0.336316 | + | 0.122409i | ||||
\(989\) | 13.0251 | − | 22.5602i | 0.414175 | − | 0.717371i | ||||
\(990\) | 19.9588 | + | 69.9365i | 0.634333 | + | 2.22273i | ||||
\(991\) | −4.71643 | − | 8.16910i | −0.149822 | − | 0.259500i | 0.781339 | − | 0.624106i | \(-0.214537\pi\) |
−0.931162 | + | 0.364606i | \(0.881204\pi\) | |||||||
\(992\) | −0.812597 | − | 4.60847i | −0.0258000 | − | 0.146319i | ||||
\(993\) | −5.24307 | − | 5.62960i | −0.166384 | − | 0.178650i | ||||
\(994\) | 20.9753 | − | 7.63438i | 0.665296 | − | 0.242148i | ||||
\(995\) | 0.693588 | − | 3.93353i | 0.0219882 | − | 0.124701i | ||||
\(996\) | 38.4996 | + | 19.6470i | 1.21991 | + | 0.622540i | ||||
\(997\) | 28.3470 | − | 23.7859i | 0.897757 | − | 0.753308i | −0.0719936 | − | 0.997405i | \(-0.522936\pi\) |
0.969751 | + | 0.244097i | \(0.0784917\pi\) | |||||||
\(998\) | 54.3750 | 1.72121 | ||||||||
\(999\) | −36.0856 | − | 13.9301i | −1.14170 | − | 0.440730i |
(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 | 189.2.v.a.22.8 | ✓ | 54 | |
3.2 | odd | 2 | 567.2.v.b.442.2 | 54 | |||
27.4 | even | 9 | 5103.2.a.i.1.24 | 27 | |||
27.11 | odd | 18 | 567.2.v.b.127.2 | 54 | |||
27.16 | even | 9 | inner | 189.2.v.a.43.8 | yes | 54 | |
27.23 | odd | 18 | 5103.2.a.f.1.4 | 27 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.a.22.8 | ✓ | 54 | 1.1 | even | 1 | trivial | |
189.2.v.a.43.8 | yes | 54 | 27.16 | even | 9 | inner | |
567.2.v.b.127.2 | 54 | 27.11 | odd | 18 | |||
567.2.v.b.442.2 | 54 | 3.2 | odd | 2 | |||
5103.2.a.f.1.4 | 27 | 27.23 | odd | 18 | |||
5103.2.a.i.1.24 | 27 | 27.4 | even | 9 |