Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), degree \(8\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 107.1 | ||
Character | \(\chi\) | \(=\) | 192.107 |
Dual form | 192.2.s.a.131.1 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40443 | − | 0.166076i | −0.993081 | − | 0.117434i | ||||
\(3\) | −1.73045 | + | 0.0744689i | −0.999075 | + | 0.0429946i | ||||
\(4\) | 1.94484 | + | 0.466485i | 0.972419 | + | 0.233242i | ||||
\(5\) | −0.720684 | − | 1.07858i | −0.322300 | − | 0.482355i | 0.634573 | − | 0.772863i | \(-0.281176\pi\) |
−0.956873 | + | 0.290507i | \(0.906176\pi\) | |||||||
\(6\) | 2.44266 | + | 0.182801i | 0.997211 | + | 0.0746280i | ||||
\(7\) | −0.767030 | + | 1.85177i | −0.289910 | + | 0.699905i | −0.999991 | − | 0.00421502i | \(-0.998658\pi\) |
0.710081 | + | 0.704120i | \(0.248658\pi\) | |||||||
\(8\) | −2.65391 | − | 0.978136i | −0.938300 | − | 0.345823i | ||||
\(9\) | 2.98891 | − | 0.257729i | 0.996303 | − | 0.0859098i | ||||
\(10\) | 0.833022 | + | 1.63448i | 0.263425 | + | 0.516867i | ||||
\(11\) | 0.967998 | + | 0.192547i | 0.291862 | + | 0.0580550i | 0.338850 | − | 0.940840i | \(-0.389962\pi\) |
−0.0469875 | + | 0.998895i | \(0.514962\pi\) | |||||||
\(12\) | −3.40018 | − | 0.662398i | −0.981548 | − | 0.191218i | ||||
\(13\) | 2.76775 | + | 1.84935i | 0.767637 | + | 0.512919i | 0.876654 | − | 0.481121i | \(-0.159770\pi\) |
−0.109017 | + | 0.994040i | \(0.534770\pi\) | |||||||
\(14\) | 1.38477 | − | 2.47330i | 0.370097 | − | 0.661017i | ||||
\(15\) | 1.32743 | + | 1.81276i | 0.342740 | + | 0.468052i | ||||
\(16\) | 3.56478 | + | 1.81447i | 0.891196 | + | 0.453618i | ||||
\(17\) | 4.20201 | + | 4.20201i | 1.01914 | + | 1.01914i | 0.999813 | + | 0.0193250i | \(0.00615171\pi\) |
0.0193250 | + | 0.999813i | \(0.493848\pi\) | |||||||
\(18\) | −4.24051 | − | 0.134425i | −0.999498 | − | 0.0316842i | ||||
\(19\) | 1.31593 | + | 0.879274i | 0.301894 | + | 0.201719i | 0.697285 | − | 0.716794i | \(-0.254391\pi\) |
−0.395391 | + | 0.918513i | \(0.629391\pi\) | |||||||
\(20\) | −0.898472 | − | 2.43385i | −0.200904 | − | 0.544225i | ||||
\(21\) | 1.18941 | − | 3.26152i | 0.259550 | − | 0.711722i | ||||
\(22\) | −1.32751 | − | 0.431180i | −0.283025 | − | 0.0919278i | ||||
\(23\) | 3.41948 | + | 8.25535i | 0.713011 | + | 1.72136i | 0.692337 | + | 0.721574i | \(0.256581\pi\) |
0.0206735 | + | 0.999786i | \(0.493419\pi\) | |||||||
\(24\) | 4.66530 | + | 1.49498i | 0.952301 | + | 0.305162i | ||||
\(25\) | 1.26947 | − | 3.06477i | 0.253894 | − | 0.612954i | ||||
\(26\) | −3.57998 | − | 3.05694i | −0.702091 | − | 0.599516i | ||||
\(27\) | −5.15296 | + | 0.668568i | −0.991688 | + | 0.128666i | ||||
\(28\) | −2.35557 | + | 3.24359i | −0.445162 | + | 0.612981i | ||||
\(29\) | −0.303195 | − | 1.52426i | −0.0563019 | − | 0.283049i | 0.942370 | − | 0.334573i | \(-0.108592\pi\) |
−0.998672 | + | 0.0515242i | \(0.983592\pi\) | |||||||
\(30\) | −1.56322 | − | 2.76634i | −0.285404 | − | 0.505063i | ||||
\(31\) | 1.85722 | 0.333566 | 0.166783 | − | 0.985994i | \(-0.446662\pi\) | ||||
0.166783 | + | 0.985994i | \(0.446662\pi\) | |||||||
\(32\) | −4.70514 | − | 3.14032i | −0.831759 | − | 0.555136i | ||||
\(33\) | −1.68941 | − | 0.261107i | −0.294089 | − | 0.0454528i | ||||
\(34\) | −5.20357 | − | 6.59928i | −0.892405 | − | 1.13177i | ||||
\(35\) | 2.55007 | − | 0.507241i | 0.431041 | − | 0.0857394i | ||||
\(36\) | 5.93317 | + | 0.893039i | 0.988861 | + | 0.148840i | ||||
\(37\) | −3.53974 | − | 5.29759i | −0.581929 | − | 0.870918i | 0.417355 | − | 0.908743i | \(-0.362957\pi\) |
−0.999284 | + | 0.0378252i | \(0.987957\pi\) | |||||||
\(38\) | −1.70210 | − | 1.45342i | −0.276117 | − | 0.235776i | ||||
\(39\) | −4.92718 | − | 2.99410i | −0.788980 | − | 0.479440i | ||||
\(40\) | 0.857634 | + | 3.56738i | 0.135604 | + | 0.564053i | ||||
\(41\) | 0.606016 | − | 0.251020i | 0.0946437 | − | 0.0392027i | −0.334859 | − | 0.942268i | \(-0.608689\pi\) |
0.429503 | + | 0.903065i | \(0.358689\pi\) | |||||||
\(42\) | −2.21210 | + | 4.38304i | −0.341334 | + | 0.676318i | ||||
\(43\) | −7.79176 | − | 1.54988i | −1.18823 | − | 0.236354i | −0.438892 | − | 0.898540i | \(-0.644629\pi\) |
−0.749340 | + | 0.662185i | \(0.769629\pi\) | |||||||
\(44\) | 1.79278 | + | 0.826028i | 0.270272 | + | 0.124528i | ||||
\(45\) | −2.43204 | − | 3.03803i | −0.362547 | − | 0.452883i | ||||
\(46\) | −3.43139 | − | 12.1619i | −0.505931 | − | 1.79318i | ||||
\(47\) | −3.56988 | + | 3.56988i | −0.520721 | + | 0.520721i | −0.917789 | − | 0.397068i | \(-0.870028\pi\) |
0.397068 | + | 0.917789i | \(0.370028\pi\) | |||||||
\(48\) | −6.30380 | − | 2.87439i | −0.909875 | − | 0.414882i | ||||
\(49\) | 2.10901 | + | 2.10901i | 0.301288 | + | 0.301288i | ||||
\(50\) | −2.29186 | + | 4.09342i | −0.324118 | + | 0.578897i | ||||
\(51\) | −7.58429 | − | 6.95845i | −1.06201 | − | 0.974378i | ||||
\(52\) | 4.52014 | + | 4.88781i | 0.626830 | + | 0.677817i | ||||
\(53\) | −0.605519 | + | 3.04415i | −0.0831744 | + | 0.418146i | 0.916655 | + | 0.399679i | \(0.130878\pi\) |
−0.999829 | + | 0.0184666i | \(0.994122\pi\) | |||||||
\(54\) | 7.34800 | − | 0.0831709i | 0.999936 | − | 0.0113181i | ||||
\(55\) | −0.489944 | − | 1.18283i | −0.0660640 | − | 0.159493i | ||||
\(56\) | 3.84692 | − | 4.16419i | 0.514066 | − | 0.556463i | ||||
\(57\) | −2.34262 | − | 1.42354i | −0.310288 | − | 0.188553i | ||||
\(58\) | 0.172671 | + | 2.19107i | 0.0226729 | + | 0.287702i | ||||
\(59\) | 6.01066 | − | 4.01619i | 0.782521 | − | 0.522864i | −0.0989555 | − | 0.995092i | \(-0.531550\pi\) |
0.881476 | + | 0.472228i | \(0.156550\pi\) | |||||||
\(60\) | 1.73601 | + | 4.14475i | 0.224117 | + | 0.535084i | ||||
\(61\) | 2.31440 | + | 11.6353i | 0.296328 | + | 1.48974i | 0.786214 | + | 0.617955i | \(0.212038\pi\) |
−0.489886 | + | 0.871787i | \(0.662962\pi\) | |||||||
\(62\) | −2.60833 | − | 0.308440i | −0.331258 | − | 0.0391719i | ||||
\(63\) | −1.81533 | + | 5.73247i | −0.228710 | + | 0.722224i | ||||
\(64\) | 6.08650 | + | 5.19177i | 0.760813 | + | 0.648972i | ||||
\(65\) | − | 4.31804i | − | 0.535587i | ||||||
\(66\) | 2.32929 | + | 0.647277i | 0.286716 | + | 0.0796742i | ||||
\(67\) | 12.2580 | − | 2.43827i | 1.49755 | − | 0.297882i | 0.622774 | − | 0.782402i | \(-0.286006\pi\) |
0.874780 | + | 0.484520i | \(0.161006\pi\) | |||||||
\(68\) | 6.21206 | + | 10.1324i | 0.753323 | + | 1.22874i | ||||
\(69\) | −6.53200 | − | 14.0308i | −0.786361 | − | 1.68911i | ||||
\(70\) | −3.66563 | + | 0.288877i | −0.438127 | + | 0.0345274i | ||||
\(71\) | −10.2302 | − | 4.23749i | −1.21410 | − | 0.502897i | −0.318572 | − | 0.947899i | \(-0.603203\pi\) |
−0.895530 | + | 0.445001i | \(0.853203\pi\) | |||||||
\(72\) | −8.18440 | − | 2.23957i | −0.964540 | − | 0.263936i | ||||
\(73\) | −8.22378 | + | 3.40640i | −0.962521 | + | 0.398689i | −0.807923 | − | 0.589288i | \(-0.799408\pi\) |
−0.154598 | + | 0.987977i | \(0.549408\pi\) | |||||||
\(74\) | 4.09150 | + | 8.02795i | 0.475627 | + | 0.933230i | ||||
\(75\) | −1.96852 | + | 5.39796i | −0.227305 | + | 0.623303i | ||||
\(76\) | 2.14909 | + | 2.32390i | 0.246518 | + | 0.266570i | ||||
\(77\) | −1.09904 | + | 1.64482i | −0.125247 | + | 0.187445i | ||||
\(78\) | 6.42262 | + | 5.02329i | 0.727218 | + | 0.568775i | ||||
\(79\) | 4.22403 | − | 4.22403i | 0.475241 | − | 0.475241i | −0.428365 | − | 0.903606i | \(-0.640910\pi\) |
0.903606 | + | 0.428365i | \(0.140910\pi\) | |||||||
\(80\) | −0.612028 | − | 5.15257i | −0.0684268 | − | 0.576074i | ||||
\(81\) | 8.86715 | − | 1.54066i | 0.985239 | − | 0.171184i | ||||
\(82\) | −0.892794 | + | 0.251894i | −0.0985926 | + | 0.0278171i | ||||
\(83\) | 8.63710 | − | 12.9263i | 0.948044 | − | 1.41885i | 0.0403648 | − | 0.999185i | \(-0.487148\pi\) |
0.907680 | − | 0.419664i | \(-0.137852\pi\) | |||||||
\(84\) | 3.83465 | − | 5.78829i | 0.418395 | − | 0.631554i | ||||
\(85\) | 1.50388 | − | 7.56053i | 0.163119 | − | 0.820055i | ||||
\(86\) | 10.6856 | + | 3.47072i | 1.15225 | + | 0.374257i | ||||
\(87\) | 0.638174 | + | 2.61508i | 0.0684194 | + | 0.280366i | ||||
\(88\) | −2.38064 | − | 1.45784i | −0.253778 | − | 0.155406i | ||||
\(89\) | 10.4476 | + | 4.32753i | 1.10744 | + | 0.458717i | 0.860056 | − | 0.510200i | \(-0.170429\pi\) |
0.247385 | + | 0.968917i | \(0.420429\pi\) | |||||||
\(90\) | 2.91108 | + | 4.67061i | 0.306855 | + | 0.492325i | ||||
\(91\) | −5.54754 | + | 3.70675i | −0.581540 | + | 0.388573i | ||||
\(92\) | 2.79933 | + | 17.6505i | 0.291851 | + | 1.84019i | ||||
\(93\) | −3.21382 | + | 0.138305i | −0.333258 | + | 0.0143416i | ||||
\(94\) | 5.60652 | − | 4.42077i | 0.578268 | − | 0.455968i | ||||
\(95\) | − | 2.05301i | − | 0.210634i | ||||||
\(96\) | 8.37587 | + | 5.08379i | 0.854858 | + | 0.518862i | ||||
\(97\) | 4.02440i | 0.408616i | 0.978907 | + | 0.204308i | \(0.0654945\pi\) | ||||
−0.978907 | + | 0.204308i | \(0.934506\pi\) | |||||||
\(98\) | −2.61170 | − | 3.31222i | −0.263822 | − | 0.334584i | ||||
\(99\) | 2.94288 | + | 0.326023i | 0.295771 | + | 0.0327666i | ||||
\(100\) | 3.89858 | − | 5.36829i | 0.389858 | − | 0.536829i | ||||
\(101\) | −13.9098 | + | 9.29424i | −1.38408 | + | 0.924811i | −0.384079 | + | 0.923300i | \(0.625481\pi\) |
−0.999999 | + | 0.00151063i | \(0.999519\pi\) | |||||||
\(102\) | 9.49596 | + | 11.0322i | 0.940240 | + | 1.09235i | ||||
\(103\) | −3.57072 | − | 1.47904i | −0.351833 | − | 0.145734i | 0.199765 | − | 0.979844i | \(-0.435982\pi\) |
−0.551599 | + | 0.834110i | \(0.685982\pi\) | |||||||
\(104\) | −5.53646 | − | 7.61526i | −0.542894 | − | 0.746738i | ||||
\(105\) | −4.37500 | + | 1.06766i | −0.426956 | + | 0.104193i | ||||
\(106\) | 1.35597 | − | 4.17472i | 0.131703 | − | 0.405485i | ||||
\(107\) | −0.469101 | + | 2.35833i | −0.0453497 | + | 0.227989i | −0.996813 | − | 0.0797738i | \(-0.974580\pi\) |
0.951463 | + | 0.307762i | \(0.0995802\pi\) | |||||||
\(108\) | −10.3335 | − | 1.10352i | −0.994346 | − | 0.106186i | ||||
\(109\) | −6.70309 | + | 10.0319i | −0.642040 | + | 0.960881i | 0.357595 | + | 0.933877i | \(0.383597\pi\) |
−0.999635 | + | 0.0270042i | \(0.991403\pi\) | |||||||
\(110\) | 0.491651 | + | 1.74257i | 0.0468771 | + | 0.166147i | ||||
\(111\) | 6.51984 | + | 8.90361i | 0.618836 | + | 0.845093i | ||||
\(112\) | −6.09429 | + | 5.20942i | −0.575857 | + | 0.492244i | ||||
\(113\) | 14.1735 | − | 14.1735i | 1.33333 | − | 1.33333i | 0.430958 | − | 0.902372i | \(-0.358176\pi\) |
0.902372 | − | 0.430958i | \(-0.141824\pi\) | |||||||
\(114\) | 3.05363 | + | 2.38832i | 0.285998 | + | 0.223686i | ||||
\(115\) | 6.43969 | − | 9.63768i | 0.600504 | − | 0.898718i | ||||
\(116\) | 0.121381 | − | 3.10588i | 0.0112699 | − | 0.288374i | ||||
\(117\) | 8.74920 | + | 4.81422i | 0.808864 | + | 0.445075i | ||||
\(118\) | −9.10853 | + | 4.64223i | −0.838508 | + | 0.427352i | ||||
\(119\) | −11.0043 | + | 4.55811i | −1.00876 | + | 0.417841i | ||||
\(120\) | −1.74975 | − | 6.10931i | −0.159730 | − | 0.557701i | ||||
\(121\) | −9.26273 | − | 3.83675i | −0.842066 | − | 0.348795i | ||||
\(122\) | −1.31806 | − | 16.7252i | −0.119332 | − | 1.51423i | ||||
\(123\) | −1.02999 | + | 0.479506i | −0.0928707 | + | 0.0432356i | ||||
\(124\) | 3.61199 | + | 0.866363i | 0.324366 | + | 0.0778017i | ||||
\(125\) | −10.5818 | + | 2.10486i | −0.946468 | + | 0.188264i | ||||
\(126\) | 3.50152 | − | 7.74936i | 0.311941 | − | 0.690368i | ||||
\(127\) | − | 0.155374i | − | 0.0137873i | −0.999976 | − | 0.00689363i | \(-0.997806\pi\) | ||
0.999976 | − | 0.00689363i | \(-0.00219433\pi\) | |||||||
\(128\) | −7.68582 | − | 8.30230i | −0.679337 | − | 0.733826i | ||||
\(129\) | 13.5987 | + | 2.10174i | 1.19730 | + | 0.185048i | ||||
\(130\) | −0.717125 | + | 6.06438i | −0.0628960 | + | 0.531881i | ||||
\(131\) | 3.39595 | + | 17.0726i | 0.296706 | + | 1.49164i | 0.785292 | + | 0.619125i | \(0.212513\pi\) |
−0.488586 | + | 0.872516i | \(0.662487\pi\) | |||||||
\(132\) | −3.16383 | − | 1.29589i | −0.275376 | − | 0.112793i | ||||
\(133\) | −2.63757 | + | 1.76237i | −0.228706 | + | 0.152817i | ||||
\(134\) | −17.6204 | + | 1.38861i | −1.52217 | + | 0.119958i | ||||
\(135\) | 4.43476 | + | 5.07605i | 0.381683 | + | 0.436877i | ||||
\(136\) | −7.04164 | − | 15.2619i | −0.603815 | − | 1.30870i | ||||
\(137\) | −5.24233 | − | 12.6561i | −0.447883 | − | 1.08128i | −0.973114 | − | 0.230325i | \(-0.926021\pi\) |
0.525231 | − | 0.850960i | \(-0.323979\pi\) | |||||||
\(138\) | 6.84354 | + | 20.7901i | 0.582561 | + | 1.76977i | ||||
\(139\) | 0.184246 | − | 0.926267i | 0.0156275 | − | 0.0785649i | −0.972185 | − | 0.234216i | \(-0.924748\pi\) |
0.987812 | + | 0.155651i | \(0.0497476\pi\) | |||||||
\(140\) | 5.19610 | + | 0.203069i | 0.439150 | + | 0.0171624i | ||||
\(141\) | 5.91165 | − | 6.44335i | 0.497851 | − | 0.542628i | ||||
\(142\) | 13.6638 | + | 7.65024i | 1.14664 | + | 0.641994i | ||||
\(143\) | 2.32309 | + | 2.32309i | 0.194267 | + | 0.194267i | ||||
\(144\) | 11.1225 | + | 4.50455i | 0.926871 | + | 0.375379i | ||||
\(145\) | −1.42553 | + | 1.42553i | −0.118384 | + | 0.118384i | ||||
\(146\) | 12.1154 | − | 3.41827i | 1.00268 | − | 0.282898i | ||||
\(147\) | −3.80660 | − | 3.49248i | −0.313963 | − | 0.288055i | ||||
\(148\) | −4.41297 | − | 11.9542i | −0.362743 | − | 0.982627i | ||||
\(149\) | 12.9342 | + | 2.57278i | 1.05961 | + | 0.210770i | 0.693984 | − | 0.719990i | \(-0.255854\pi\) |
0.365629 | + | 0.930761i | \(0.380854\pi\) | |||||||
\(150\) | 3.66112 | − | 7.25412i | 0.298929 | − | 0.592297i | ||||
\(151\) | 3.52819 | − | 1.46142i | 0.287120 | − | 0.118929i | −0.234475 | − | 0.972122i | \(-0.575337\pi\) |
0.521595 | + | 0.853193i | \(0.325337\pi\) | |||||||
\(152\) | −2.63230 | − | 3.62067i | −0.213508 | − | 0.293675i | ||||
\(153\) | 13.6424 | + | 11.4765i | 1.10292 | + | 0.927816i | ||||
\(154\) | 1.81668 | − | 2.12751i | 0.146393 | − | 0.171440i | ||||
\(155\) | −1.33847 | − | 2.00316i | −0.107508 | − | 0.160897i | ||||
\(156\) | −8.18585 | − | 8.12149i | −0.655393 | − | 0.650240i | ||||
\(157\) | −2.35944 | + | 0.469323i | −0.188304 | + | 0.0374560i | −0.288341 | − | 0.957528i | \(-0.593104\pi\) |
0.100037 | + | 0.994984i | \(0.468104\pi\) | |||||||
\(158\) | −6.63386 | + | 5.23084i | −0.527762 | + | 0.416143i | ||||
\(159\) | 0.821125 | − | 5.31283i | 0.0651194 | − | 0.421335i | ||||
\(160\) | 0.00382993 | + | 7.33805i | 0.000302782 | + | 0.580124i | ||||
\(161\) | −17.9099 | −1.41150 | ||||||||
\(162\) | −12.7091 | + | 0.691120i | −0.998525 | + | 0.0542995i | ||||
\(163\) | −2.38176 | − | 11.9739i | −0.186554 | − | 0.937869i | −0.954694 | − | 0.297588i | \(-0.903818\pi\) |
0.768141 | − | 0.640281i | \(-0.221182\pi\) | |||||||
\(164\) | 1.29570 | − | 0.205496i | 0.101177 | − | 0.0160465i | ||||
\(165\) | 0.935906 | + | 2.01034i | 0.0728602 | + | 0.156505i | ||||
\(166\) | −14.2769 | + | 16.7197i | −1.10811 | + | 1.29770i | ||||
\(167\) | 5.64526 | − | 13.6289i | 0.436843 | − | 1.05463i | −0.540189 | − | 0.841544i | \(-0.681647\pi\) |
0.977033 | − | 0.213090i | \(-0.0683527\pi\) | |||||||
\(168\) | −6.34679 | + | 7.49239i | −0.489666 | + | 0.578051i | ||||
\(169\) | −0.734533 | − | 1.77332i | −0.0565025 | − | 0.136409i | ||||
\(170\) | −3.36772 | + | 10.3685i | −0.258292 | + | 0.795225i | ||||
\(171\) | 4.15980 | + | 2.28892i | 0.318108 | + | 0.175038i | ||||
\(172\) | −14.4307 | − | 6.64900i | −1.10033 | − | 0.506981i | ||||
\(173\) | 7.13355 | + | 4.76648i | 0.542354 | + | 0.362389i | 0.796369 | − | 0.604811i | \(-0.206751\pi\) |
−0.254015 | + | 0.967200i | \(0.581751\pi\) | |||||||
\(174\) | −0.461966 | − | 3.77868i | −0.0350215 | − | 0.286461i | ||||
\(175\) | 4.70154 | + | 4.70154i | 0.355403 | + | 0.355403i | ||||
\(176\) | 3.10133 | + | 2.44279i | 0.233772 | + | 0.184133i | ||||
\(177\) | −10.1021 | + | 7.39742i | −0.759317 | + | 0.556024i | ||||
\(178\) | −13.9542 | − | 7.81280i | −1.04591 | − | 0.585594i | ||||
\(179\) | −5.74521 | − | 3.83883i | −0.429417 | − | 0.286928i | 0.322019 | − | 0.946733i | \(-0.395639\pi\) |
−0.751436 | + | 0.659806i | \(0.770639\pi\) | |||||||
\(180\) | −3.31273 | − | 7.04299i | −0.246916 | − | 0.524954i | ||||
\(181\) | −20.4058 | − | 4.05897i | −1.51675 | − | 0.301701i | −0.634665 | − | 0.772788i | \(-0.718862\pi\) |
−0.882087 | + | 0.471087i | \(0.843862\pi\) | |||||||
\(182\) | 8.40672 | − | 4.28454i | 0.623148 | − | 0.317592i | ||||
\(183\) | −4.87141 | − | 19.9619i | −0.360105 | − | 1.47562i | ||||
\(184\) | −1.00014 | − | 25.2537i | −0.0737314 | − | 1.86173i | ||||
\(185\) | −3.16284 | + | 7.63577i | −0.232537 | + | 0.561393i | ||||
\(186\) | 4.53655 | + | 0.339500i | 0.332636 | + | 0.0248934i | ||||
\(187\) | 3.25846 | + | 4.87663i | 0.238282 | + | 0.356614i | ||||
\(188\) | −8.60814 | + | 5.27754i | −0.627813 | + | 0.384905i | ||||
\(189\) | 2.71444 | − | 10.0549i | 0.197446 | − | 0.731389i | ||||
\(190\) | −0.340956 | + | 2.88330i | −0.0247356 | + | 0.209177i | ||||
\(191\) | −15.4616 | −1.11876 | −0.559382 | − | 0.828910i | \(-0.688962\pi\) | ||||
−0.559382 | + | 0.828910i | \(0.688962\pi\) | |||||||
\(192\) | −10.9190 | − | 8.53084i | −0.788011 | − | 0.615661i | ||||
\(193\) | −4.44552 | −0.319995 | −0.159998 | − | 0.987117i | \(-0.551149\pi\) | ||||
−0.159998 | + | 0.987117i | \(0.551149\pi\) | |||||||
\(194\) | 0.668359 | − | 5.65199i | 0.0479853 | − | 0.405789i | ||||
\(195\) | 0.321560 | + | 7.47215i | 0.0230274 | + | 0.535092i | ||||
\(196\) | 3.11787 | + | 5.08551i | 0.222705 | + | 0.363251i | ||||
\(197\) | −1.32687 | − | 1.98581i | −0.0945358 | − | 0.141483i | 0.781187 | − | 0.624297i | \(-0.214615\pi\) |
−0.875723 | + | 0.482814i | \(0.839615\pi\) | |||||||
\(198\) | −4.07892 | − | 0.946620i | −0.289876 | − | 0.0672733i | ||||
\(199\) | 7.94054 | − | 19.1702i | 0.562890 | − | 1.35894i | −0.344555 | − | 0.938766i | \(-0.611970\pi\) |
0.907445 | − | 0.420171i | \(-0.138030\pi\) | |||||||
\(200\) | −6.36682 | + | 6.89191i | −0.450202 | + | 0.487332i | ||||
\(201\) | −21.0303 | + | 5.13214i | −1.48336 | + | 0.361993i | ||||
\(202\) | 21.0789 | − | 10.7430i | 1.48310 | − | 0.755875i | ||||
\(203\) | 3.05515 | + | 0.607708i | 0.214430 | + | 0.0426527i | ||||
\(204\) | −11.5042 | − | 17.0710i | −0.805455 | − | 1.19521i | ||||
\(205\) | −0.707491 | − | 0.472730i | −0.0494133 | − | 0.0330169i | ||||
\(206\) | 4.76919 | + | 2.67022i | 0.332285 | + | 0.186043i | ||||
\(207\) | 12.3482 | + | 23.7932i | 0.858256 | + | 1.65374i | ||||
\(208\) | 6.51084 | + | 11.6146i | 0.451446 | + | 0.805325i | ||||
\(209\) | 1.10451 | + | 1.10451i | 0.0764007 | + | 0.0764007i | ||||
\(210\) | 6.32168 | − | 0.772862i | 0.436238 | − | 0.0533326i | ||||
\(211\) | 2.28666 | + | 1.52790i | 0.157420 | + | 0.105185i | 0.631785 | − | 0.775143i | \(-0.282322\pi\) |
−0.474365 | + | 0.880328i | \(0.657322\pi\) | |||||||
\(212\) | −2.59768 | + | 5.63791i | −0.178410 | + | 0.387213i | ||||
\(213\) | 18.0184 | + | 6.57093i | 1.23460 | + | 0.450232i | ||||
\(214\) | 1.05048 | − | 3.23420i | 0.0718095 | − | 0.221085i | ||||
\(215\) | 3.94373 | + | 9.52101i | 0.268960 | + | 0.649327i | ||||
\(216\) | 14.3295 | + | 3.26598i | 0.974996 | + | 0.222221i | ||||
\(217\) | −1.42454 | + | 3.43915i | −0.0967042 | + | 0.233465i | ||||
\(218\) | 11.0801 | − | 12.9758i | 0.750437 | − | 0.878835i | ||||
\(219\) | 13.9772 | − | 6.50702i | 0.944489 | − | 0.439704i | ||||
\(220\) | −0.401089 | − | 2.52896i | −0.0270414 | − | 0.170502i | ||||
\(221\) | 3.85913 | + | 19.4012i | 0.259593 | + | 1.30506i | ||||
\(222\) | −7.67796 | − | 13.5873i | −0.515311 | − | 0.911918i | ||||
\(223\) | 14.4098 | 0.964951 | 0.482476 | − | 0.875909i | \(-0.339738\pi\) | ||||
0.482476 | + | 0.875909i | \(0.339738\pi\) | |||||||
\(224\) | 9.42416 | − | 6.30414i | 0.629678 | − | 0.421213i | ||||
\(225\) | 3.00444 | − | 9.48749i | 0.200296 | − | 0.632499i | ||||
\(226\) | −22.2595 | + | 17.5518i | −1.48068 | + | 1.16753i | ||||
\(227\) | −4.85500 | + | 0.965719i | −0.322238 | + | 0.0640970i | −0.353559 | − | 0.935412i | \(-0.615029\pi\) |
0.0313212 | + | 0.999509i | \(0.490029\pi\) | |||||||
\(228\) | −3.89196 | − | 3.86136i | −0.257751 | − | 0.255725i | ||||
\(229\) | 2.62485 | + | 3.92837i | 0.173455 | + | 0.259594i | 0.908004 | − | 0.418962i | \(-0.137606\pi\) |
−0.734549 | + | 0.678556i | \(0.762606\pi\) | |||||||
\(230\) | −10.6447 | + | 12.4660i | −0.701889 | + | 0.821980i | ||||
\(231\) | 1.77934 | − | 2.92813i | 0.117072 | − | 0.192657i | ||||
\(232\) | −0.686284 | + | 4.34183i | −0.0450568 | + | 0.285055i | ||||
\(233\) | 4.22871 | − | 1.75159i | 0.277032 | − | 0.114751i | −0.239842 | − | 0.970812i | \(-0.577096\pi\) |
0.516874 | + | 0.856061i | \(0.327096\pi\) | |||||||
\(234\) | −11.4881 | − | 8.21426i | −0.751000 | − | 0.536983i | ||||
\(235\) | 6.42316 | + | 1.27765i | 0.419001 | + | 0.0833444i | ||||
\(236\) | 13.5632 | − | 5.00696i | 0.882892 | − | 0.325925i | ||||
\(237\) | −6.99492 | + | 7.62403i | −0.454369 | + | 0.495234i | ||||
\(238\) | 16.2117 | − | 4.57399i | 1.05085 | − | 0.296488i | ||||
\(239\) | 14.7182 | − | 14.7182i | 0.952039 | − | 0.952039i | −0.0468626 | − | 0.998901i | \(-0.514922\pi\) |
0.998901 | + | 0.0468626i | \(0.0149223\pi\) | |||||||
\(240\) | 1.44279 | + | 8.87068i | 0.0931316 | + | 0.572600i | ||||
\(241\) | 10.1915 | + | 10.1915i | 0.656494 | + | 0.656494i | 0.954549 | − | 0.298055i | \(-0.0963379\pi\) |
−0.298055 | + | 0.954549i | \(0.596338\pi\) | |||||||
\(242\) | 12.3716 | + | 6.92676i | 0.795279 | + | 0.445269i | ||||
\(243\) | −15.2294 | + | 3.32636i | −0.976968 | + | 0.213386i | ||||
\(244\) | −0.926544 | + | 23.7083i | −0.0593159 | + | 1.51777i | ||||
\(245\) | 0.754807 | − | 3.79467i | 0.0482229 | − | 0.242433i | ||||
\(246\) | 1.52618 | − | 0.502376i | 0.0973054 | − | 0.0320303i | ||||
\(247\) | 2.01607 | + | 4.86723i | 0.128280 | + | 0.309694i | ||||
\(248\) | −4.92889 | − | 1.81661i | −0.312985 | − | 0.115355i | ||||
\(249\) | −13.9834 | + | 23.0115i | −0.886165 | + | 1.45830i | ||||
\(250\) | 15.2110 | − | 1.19873i | 0.962028 | − | 0.0758143i | ||||
\(251\) | 9.56353 | − | 6.39015i | 0.603645 | − | 0.403343i | −0.215852 | − | 0.976426i | \(-0.569253\pi\) |
0.819497 | + | 0.573083i | \(0.194253\pi\) | |||||||
\(252\) | −6.20463 | + | 10.3019i | −0.390855 | + | 0.648959i | ||||
\(253\) | 1.72051 | + | 8.64958i | 0.108167 | + | 0.543794i | ||||
\(254\) | −0.0258040 | + | 0.218212i | −0.00161909 | + | 0.0136919i | ||||
\(255\) | −2.03937 | + | 13.1951i | −0.127710 | + | 0.826310i | ||||
\(256\) | 9.41537 | + | 12.9364i | 0.588461 | + | 0.808526i | ||||
\(257\) | 2.75570i | 0.171896i | 0.996300 | + | 0.0859479i | \(0.0273919\pi\) | ||||
−0.996300 | + | 0.0859479i | \(0.972608\pi\) | |||||||
\(258\) | −18.7493 | − | 5.21016i | −1.16728 | − | 0.324370i | ||||
\(259\) | 12.5250 | − | 2.49138i | 0.778267 | − | 0.154807i | ||||
\(260\) | 2.01430 | − | 8.39789i | 0.124922 | − | 0.520815i | ||||
\(261\) | −1.29907 | − | 4.47774i | −0.0804104 | − | 0.277165i | ||||
\(262\) | −1.93402 | − | 24.5412i | −0.119484 | − | 1.51616i | ||||
\(263\) | −4.46471 | − | 1.84934i | −0.275306 | − | 0.114035i | 0.240759 | − | 0.970585i | \(-0.422604\pi\) |
−0.516065 | + | 0.856549i | \(0.672604\pi\) | |||||||
\(264\) | 4.22815 | + | 2.34543i | 0.260225 | + | 0.144351i | ||||
\(265\) | 3.71974 | − | 1.54077i | 0.228502 | − | 0.0946486i | ||||
\(266\) | 3.99697 | − | 2.03708i | 0.245070 | − | 0.124902i | ||||
\(267\) | −18.4013 | − | 6.71055i | −1.12614 | − | 0.410679i | ||||
\(268\) | 24.9773 | + | 0.976136i | 1.52573 | + | 0.0596270i | ||||
\(269\) | 13.9475 | − | 20.8740i | 0.850396 | − | 1.27271i | −0.109961 | − | 0.993936i | \(-0.535073\pi\) |
0.960357 | − | 0.278772i | \(-0.0899273\pi\) | |||||||
\(270\) | −5.38529 | − | 7.86546i | −0.327738 | − | 0.478677i | ||||
\(271\) | −2.50752 | + | 2.50752i | −0.152321 | + | 0.152321i | −0.779154 | − | 0.626833i | \(-0.784351\pi\) |
0.626833 | + | 0.779154i | \(0.284351\pi\) | |||||||
\(272\) | 7.35483 | + | 22.6037i | 0.445952 | + | 1.37055i | ||||
\(273\) | 9.32369 | − | 6.82746i | 0.564296 | − | 0.413216i | ||||
\(274\) | 5.26060 | + | 18.6452i | 0.317804 | + | 1.12640i | ||||
\(275\) | 1.81895 | − | 2.72226i | 0.109687 | − | 0.164158i | ||||
\(276\) | −6.15852 | − | 30.3348i | −0.370699 | − | 1.82594i | ||||
\(277\) | 2.00578 | − | 10.0838i | 0.120516 | − | 0.605875i | −0.872570 | − | 0.488488i | \(-0.837548\pi\) |
0.993086 | − | 0.117386i | \(-0.0374515\pi\) | |||||||
\(278\) | −0.412591 | + | 1.27028i | −0.0247456 | + | 0.0761861i | ||||
\(279\) | 5.55105 | − | 0.478659i | 0.332333 | − | 0.0286566i | ||||
\(280\) | −7.26382 | − | 1.14814i | −0.434096 | − | 0.0686148i | ||||
\(281\) | −23.5087 | − | 9.73764i | −1.40241 | − | 0.580899i | −0.452037 | − | 0.891999i | \(-0.649302\pi\) |
−0.950377 | + | 0.311100i | \(0.899302\pi\) | |||||||
\(282\) | −9.37258 | + | 8.06743i | −0.558129 | + | 0.480408i | ||||
\(283\) | −14.0073 | + | 9.35938i | −0.832648 | + | 0.556357i | −0.897234 | − | 0.441555i | \(-0.854427\pi\) |
0.0645865 | + | 0.997912i | \(0.479427\pi\) | |||||||
\(284\) | −17.9194 | − | 13.0135i | −1.06332 | − | 0.772207i | ||||
\(285\) | 0.152885 | + | 3.55263i | 0.00905615 | + | 0.210440i | ||||
\(286\) | −2.87681 | − | 3.64843i | −0.170109 | − | 0.215736i | ||||
\(287\) | 1.31474i | 0.0776069i | ||||||||
\(288\) | −14.8726 | − | 8.17349i | −0.876376 | − | 0.481628i | ||||
\(289\) | 18.3139i | 1.07729i | ||||||||
\(290\) | 2.23881 | − | 1.76531i | 0.131467 | − | 0.103663i | ||||
\(291\) | −0.299693 | − | 6.96403i | −0.0175683 | − | 0.408239i | ||||
\(292\) | −17.5830 | + | 2.78863i | −1.02896 | + | 0.163192i | ||||
\(293\) | 3.61126 | − | 2.41296i | 0.210972 | − | 0.140967i | −0.445595 | − | 0.895235i | \(-0.647008\pi\) |
0.656567 | + | 0.754268i | \(0.272008\pi\) | |||||||
\(294\) | 4.76607 | + | 5.53713i | 0.277963 | + | 0.322932i | ||||
\(295\) | −8.66357 | − | 3.58857i | −0.504412 | − | 0.208934i | ||||
\(296\) | 4.21239 | + | 17.5217i | 0.244840 | + | 1.01843i | ||||
\(297\) | −5.11679 | − | 0.345013i | −0.296906 | − | 0.0200197i | ||||
\(298\) | −17.7379 | − | 5.76135i | −1.02753 | − | 0.333746i | ||||
\(299\) | −5.80279 | + | 29.1726i | −0.335584 | + | 1.68710i | ||||
\(300\) | −6.34652 | + | 9.57987i | −0.366416 | + | 0.553094i | ||||
\(301\) | 8.84654 | − | 13.2398i | 0.509906 | − | 0.763128i | ||||
\(302\) | −5.19780 | + | 1.46652i | −0.299100 | + | 0.0843886i | ||||
\(303\) | 23.3781 | − | 17.1191i | 1.34304 | − | 0.983464i | ||||
\(304\) | 3.09557 | + | 5.52213i | 0.177543 | + | 0.316716i | ||||
\(305\) | 10.8816 | − | 10.8816i | 0.623078 | − | 0.623078i | ||||
\(306\) | −17.2538 | − | 18.3835i | −0.986336 | − | 1.05092i | ||||
\(307\) | −1.92265 | + | 2.87744i | −0.109731 | + | 0.164224i | −0.882271 | − | 0.470742i | \(-0.843986\pi\) |
0.772540 | + | 0.634967i | \(0.218986\pi\) | |||||||
\(308\) | −2.90473 | + | 2.68623i | −0.165513 | + | 0.153062i | ||||
\(309\) | 6.28909 | + | 2.29350i | 0.357774 | + | 0.130472i | ||||
\(310\) | 1.54710 | + | 3.03558i | 0.0878696 | + | 0.172409i | ||||
\(311\) | −17.5455 | + | 7.26758i | −0.994913 | + | 0.412107i | −0.819929 | − | 0.572465i | \(-0.805987\pi\) |
−0.174984 | + | 0.984571i | \(0.555987\pi\) | |||||||
\(312\) | 10.1477 | + | 12.7655i | 0.574498 | + | 0.722706i | ||||
\(313\) | 12.3369 | + | 5.11012i | 0.697324 | + | 0.288841i | 0.703048 | − | 0.711143i | \(-0.251822\pi\) |
−0.00572401 | + | 0.999984i | \(0.501822\pi\) | |||||||
\(314\) | 3.39161 | − | 0.267282i | 0.191400 | − | 0.0150836i | ||||
\(315\) | 7.49120 | − | 2.17333i | 0.422082 | − | 0.122453i | ||||
\(316\) | 10.1855 | − | 6.24461i | 0.572979 | − | 0.351287i | ||||
\(317\) | −14.5474 | + | 2.89365i | −0.817062 | + | 0.162524i | −0.585892 | − | 0.810390i | \(-0.699256\pi\) |
−0.231171 | + | 0.972913i | \(0.574256\pi\) | |||||||
\(318\) | −2.03555 | + | 7.32512i | −0.114148 | + | 0.410773i | ||||
\(319\) | − | 1.53386i | − | 0.0858799i | ||||||
\(320\) | 1.21330 | − | 10.3064i | 0.0678254 | − | 0.576145i | ||||
\(321\) | 0.636134 | − | 4.11591i | 0.0355055 | − | 0.229728i | ||||
\(322\) | 25.1532 | + | 2.97441i | 1.40173 | + | 0.165757i | ||||
\(323\) | 1.83482 | + | 9.22426i | 0.102092 | + | 0.513252i | ||||
\(324\) | 17.9639 | + | 1.14006i | 0.997992 | + | 0.0633367i | ||||
\(325\) | 9.18142 | − | 6.13483i | 0.509293 | − | 0.340299i | ||||
\(326\) | 1.35643 | + | 17.2120i | 0.0751254 | + | 0.953287i | ||||
\(327\) | 10.8523 | − | 17.8588i | 0.600134 | − | 0.987597i | ||||
\(328\) | −1.85384 | + | 0.0734192i | −0.102361 | + | 0.00405389i | ||||
\(329\) | −3.87241 | − | 9.34883i | −0.213493 | − | 0.515417i | ||||
\(330\) | −0.980543 | − | 2.97881i | −0.0539771 | − | 0.163978i | ||||
\(331\) | −5.98155 | + | 30.0713i | −0.328776 | + | 1.65287i | 0.363766 | + | 0.931490i | \(0.381491\pi\) |
−0.692542 | + | 0.721378i | \(0.743509\pi\) | |||||||
\(332\) | 22.8277 | − | 21.1105i | 1.25283 | − | 1.15859i | ||||
\(333\) | −11.9453 | − | 14.9217i | −0.654598 | − | 0.817705i | ||||
\(334\) | −10.1918 | + | 18.2032i | −0.557670 | + | 0.996036i | ||||
\(335\) | −11.4640 | − | 11.4640i | −0.626346 | − | 0.626346i | ||||
\(336\) | 10.1579 | − | 9.46847i | 0.554160 | − | 0.516548i | ||||
\(337\) | 7.63954 | − | 7.63954i | 0.416152 | − | 0.416152i | −0.467723 | − | 0.883875i | \(-0.654925\pi\) |
0.883875 | + | 0.467723i | \(0.154925\pi\) | |||||||
\(338\) | 0.737092 | + | 2.61249i | 0.0400925 | + | 0.142101i | ||||
\(339\) | −23.4710 | + | 25.5820i | −1.27477 | + | 1.38942i | ||||
\(340\) | 6.45168 | − | 14.0025i | 0.349892 | − | 0.759390i | ||||
\(341\) | 1.79778 | + | 0.357601i | 0.0973554 | + | 0.0193652i | ||||
\(342\) | −5.46200 | − | 3.90546i | −0.295351 | − | 0.211183i | ||||
\(343\) | −18.4855 | + | 7.65695i | −0.998124 | + | 0.413437i | ||||
\(344\) | 19.1627 | + | 11.7346i | 1.03318 | + | 0.632689i | ||||
\(345\) | −10.4259 | + | 17.1571i | −0.561309 | + | 0.923706i | ||||
\(346\) | −9.22696 | − | 7.87890i | −0.496044 | − | 0.423572i | ||||
\(347\) | −2.16682 | − | 3.24287i | −0.116321 | − | 0.174086i | 0.768741 | − | 0.639561i | \(-0.220884\pi\) |
−0.885061 | + | 0.465474i | \(0.845884\pi\) | |||||||
\(348\) | 0.0212479 | + | 5.38361i | 0.00113901 | + | 0.288592i | ||||
\(349\) | 13.8459 | − | 2.75411i | 0.741151 | − | 0.147424i | 0.189947 | − | 0.981794i | \(-0.439168\pi\) |
0.551204 | + | 0.834370i | \(0.314168\pi\) | |||||||
\(350\) | −5.82216 | − | 7.38379i | −0.311207 | − | 0.394680i | ||||
\(351\) | −15.4986 | − | 7.67922i | −0.827251 | − | 0.409886i | ||||
\(352\) | −3.94991 | − | 3.94579i | −0.210531 | − | 0.210311i | ||||
\(353\) | −32.7904 | −1.74526 | −0.872628 | − | 0.488386i | \(-0.837586\pi\) | ||||
−0.872628 | + | 0.488386i | \(0.837586\pi\) | |||||||
\(354\) | 15.4161 | − | 8.71144i | 0.819359 | − | 0.463008i | ||||
\(355\) | 2.80227 | + | 14.0880i | 0.148729 | + | 0.747712i | ||||
\(356\) | 18.3001 | + | 13.2900i | 0.969904 | + | 0.704367i | ||||
\(357\) | 18.7029 | − | 8.70706i | 0.989861 | − | 0.460826i | ||||
\(358\) | 7.43120 | + | 6.34550i | 0.392751 | + | 0.335370i | ||||
\(359\) | 13.8677 | − | 33.4796i | 0.731909 | − | 1.76698i | 0.0957787 | − | 0.995403i | \(-0.469466\pi\) |
0.636130 | − | 0.771582i | \(-0.280534\pi\) | |||||||
\(360\) | 3.48281 | + | 10.4415i | 0.183560 | + | 0.550318i | ||||
\(361\) | −6.31245 | − | 15.2396i | −0.332234 | − | 0.802084i | ||||
\(362\) | 27.9844 | + | 9.08945i | 1.47083 | + | 0.477731i | ||||
\(363\) | 16.3144 | + | 5.94951i | 0.856284 | + | 0.312268i | ||||
\(364\) | −12.5182 | + | 4.62118i | −0.656132 | + | 0.242215i | ||||
\(365\) | 9.60082 | + | 6.41506i | 0.502530 | + | 0.335780i | ||||
\(366\) | 3.52635 | + | 28.8440i | 0.184325 | + | 1.50770i | ||||
\(367\) | −17.6364 | − | 17.6364i | −0.920615 | − | 0.920615i | 0.0764579 | − | 0.997073i | \(-0.475639\pi\) |
−0.997073 | + | 0.0764579i | \(0.975639\pi\) | |||||||
\(368\) | −2.78942 | + | 35.6331i | −0.145408 | + | 1.85750i | ||||
\(369\) | 1.74663 | − | 0.906463i | 0.0909259 | − | 0.0471886i | ||||
\(370\) | 5.71010 | − | 10.1986i | 0.296854 | − | 0.530201i | ||||
\(371\) | −5.17262 | − | 3.45624i | −0.268549 | − | 0.179439i | ||||
\(372\) | −6.31487 | − | 1.23022i | −0.327411 | − | 0.0637838i | ||||
\(373\) | 20.0315 | + | 3.98452i | 1.03719 | + | 0.206311i | 0.684184 | − | 0.729309i | \(-0.260158\pi\) |
0.353009 | + | 0.935620i | \(0.385158\pi\) | |||||||
\(374\) | −3.76638 | − | 7.39002i | −0.194755 | − | 0.382129i | ||||
\(375\) | 18.1546 | − | 4.43037i | 0.937499 | − | 0.228783i | ||||
\(376\) | 12.9660 | − | 5.98232i | 0.668670 | − | 0.308515i | ||||
\(377\) | 1.97973 | − | 4.77950i | 0.101962 | − | 0.246157i | ||||
\(378\) | −5.48212 | + | 13.6706i | −0.281970 | + | 0.703141i | ||||
\(379\) | −18.3728 | − | 27.4969i | −0.943749 | − | 1.41242i | −0.910747 | − | 0.412965i | \(-0.864493\pi\) |
−0.0330024 | − | 0.999455i | \(-0.510507\pi\) | |||||||
\(380\) | 0.957697 | − | 3.99277i | 0.0491288 | − | 0.204825i | ||||
\(381\) | 0.0115706 | + | 0.268868i | 0.000592778 | + | 0.0137745i | ||||
\(382\) | 21.7148 | + | 2.56781i | 1.11102 | + | 0.131381i | ||||
\(383\) | −12.1943 | −0.623098 | −0.311549 | − | 0.950230i | \(-0.600848\pi\) | ||||
−0.311549 | + | 0.950230i | \(0.600848\pi\) | |||||||
\(384\) | 13.9182 | + | 13.7943i | 0.710260 | + | 0.703940i | ||||
\(385\) | 2.56613 | 0.130782 | ||||||||
\(386\) | 6.24341 | + | 0.738296i | 0.317781 | + | 0.0375783i | ||||
\(387\) | −23.6883 | − | 2.62428i | −1.20414 | − | 0.133400i | ||||
\(388\) | −1.87732 | + | 7.82681i | −0.0953066 | + | 0.397346i | ||||
\(389\) | −0.354585 | − | 0.530674i | −0.0179782 | − | 0.0269062i | 0.822372 | − | 0.568951i | \(-0.192650\pi\) |
−0.840350 | + | 0.542044i | \(0.817650\pi\) | |||||||
\(390\) | 0.789340 | − | 10.5475i | 0.0399698 | − | 0.534094i | ||||
\(391\) | −20.3204 | + | 49.0578i | −1.02765 | + | 2.48096i | ||||
\(392\) | −3.53424 | − | 7.66004i | −0.178506 | − | 0.386890i | ||||
\(393\) | −7.14790 | − | 29.2904i | −0.360564 | − | 1.47750i | ||||
\(394\) | 1.53370 | + | 3.00928i | 0.0772668 | + | 0.151606i | ||||
\(395\) | −7.60015 | − | 1.51176i | −0.382405 | − | 0.0760651i | ||||
\(396\) | 5.57134 | + | 2.00687i | 0.279971 | + | 0.100849i | ||||
\(397\) | 12.2404 | + | 8.17878i | 0.614328 | + | 0.410481i | 0.823434 | − | 0.567412i | \(-0.192055\pi\) |
−0.209106 | + | 0.977893i | \(0.567055\pi\) | |||||||
\(398\) | −14.3356 | + | 25.6044i | −0.718580 | + | 1.28343i | ||||
\(399\) | 4.43294 | − | 3.24611i | 0.221925 | − | 0.162509i | ||||
\(400\) | 10.0863 | − | 8.62182i | 0.504316 | − | 0.431091i | ||||
\(401\) | −17.4419 | − | 17.4419i | −0.871007 | − | 0.871007i | 0.121575 | − | 0.992582i | \(-0.461205\pi\) |
−0.992582 | + | 0.121575i | \(0.961205\pi\) | |||||||
\(402\) | 30.3879 | − | 3.71509i | 1.51561 | − | 0.185292i | ||||
\(403\) | 5.14032 | + | 3.43465i | 0.256058 | + | 0.171092i | ||||
\(404\) | −31.3879 | + | 11.5871i | −1.56161 | + | 0.576478i | ||||
\(405\) | −8.05214 | − | 8.45360i | −0.400114 | − | 0.420063i | ||||
\(406\) | −4.18982 | − | 1.36087i | −0.207937 | − | 0.0675389i | ||||
\(407\) | −2.40642 | − | 5.80962i | −0.119282 | − | 0.287972i | ||||
\(408\) | 13.3217 | + | 25.8856i | 0.659524 | + | 1.28153i | ||||
\(409\) | 10.9078 | − | 26.3338i | 0.539357 | − | 1.30212i | −0.385816 | − | 0.922576i | \(-0.626080\pi\) |
0.925173 | − | 0.379546i | \(-0.123920\pi\) | |||||||
\(410\) | 0.915110 | + | 0.781413i | 0.0451941 | + | 0.0385912i | ||||
\(411\) | 10.0141 | + | 21.5104i | 0.493958 | + | 1.06103i | ||||
\(412\) | −6.25452 | − | 4.54218i | −0.308138 | − | 0.223777i | ||||
\(413\) | 2.82673 | + | 14.2109i | 0.139094 | + | 0.699274i | ||||
\(414\) | −13.3906 | − | 35.4666i | −0.658113 | − | 1.74309i | ||||
\(415\) | −20.1667 | −0.989944 | ||||||||
\(416\) | −7.21510 | − | 17.3931i | −0.353750 | − | 0.852768i | ||||
\(417\) | −0.249850 | + | 1.61658i | −0.0122352 | + | 0.0791642i | ||||
\(418\) | −1.36777 | − | 1.73464i | −0.0669001 | − | 0.0848441i | ||||
\(419\) | 4.25857 | − | 0.847083i | 0.208045 | − | 0.0413827i | −0.0899675 | − | 0.995945i | \(-0.528676\pi\) |
0.298012 | + | 0.954562i | \(0.403676\pi\) | |||||||
\(420\) | −9.00670 | + | 0.0355475i | −0.439482 | + | 0.00173454i | ||||
\(421\) | −11.3949 | − | 17.0536i | −0.555352 | − | 0.831143i | 0.442492 | − | 0.896772i | \(-0.354094\pi\) |
−0.997844 | + | 0.0656295i | \(0.979094\pi\) | |||||||
\(422\) | −2.95770 | − | 2.52558i | −0.143978 | − | 0.122943i | ||||
\(423\) | −9.74999 | + | 11.5901i | −0.474061 | + | 0.563531i | ||||
\(424\) | 4.58458 | − | 7.48662i | 0.222647 | − | 0.363582i | ||||
\(425\) | 18.2125 | − | 7.54387i | 0.883437 | − | 0.365932i | ||||
\(426\) | −24.2143 | − | 12.2208i | −1.17319 | − | 0.592101i | ||||
\(427\) | −23.3211 | − | 4.63885i | −1.12859 | − | 0.224490i | ||||
\(428\) | −2.01245 | + | 4.36774i | −0.0972755 | + | 0.211123i | ||||
\(429\) | −4.19299 | − | 3.84700i | −0.202440 | − | 0.185735i | ||||
\(430\) | −3.95747 | − | 14.0265i | −0.190846 | − | 0.676419i | ||||
\(431\) | −2.55834 | + | 2.55834i | −0.123231 | + | 0.123231i | −0.766033 | − | 0.642802i | \(-0.777772\pi\) |
0.642802 | + | 0.766033i | \(0.277772\pi\) | |||||||
\(432\) | −19.5823 | − | 6.96661i | −0.942154 | − | 0.335181i | ||||
\(433\) | −19.0584 | − | 19.0584i | −0.915888 | − | 0.915888i | 0.0808391 | − | 0.996727i | \(-0.474240\pi\) |
−0.996727 | + | 0.0808391i | \(0.974240\pi\) | |||||||
\(434\) | 2.57183 | − | 4.59345i | 0.123452 | − | 0.220493i | ||||
\(435\) | 2.36065 | − | 2.57297i | 0.113185 | − | 0.123364i | ||||
\(436\) | −17.7162 | + | 16.3835i | −0.848450 | + | 0.784627i | ||||
\(437\) | −2.75893 | + | 13.8701i | −0.131978 | + | 0.663496i | ||||
\(438\) | −20.7106 | + | 6.81737i | −0.989590 | + | 0.325746i | ||||
\(439\) | 7.14528 | + | 17.2502i | 0.341026 | + | 0.823309i | 0.997613 | + | 0.0690583i | \(0.0219994\pi\) |
−0.656587 | + | 0.754250i | \(0.728001\pi\) | |||||||
\(440\) | 0.143300 | + | 3.61835i | 0.00683158 | + | 0.172498i | ||||
\(441\) | 6.84720 | + | 5.76009i | 0.326057 | + | 0.274290i | ||||
\(442\) | −2.19780 | − | 27.8884i | −0.104539 | − | 1.32652i | ||||
\(443\) | 23.6417 | − | 15.7969i | 1.12325 | − | 0.750533i | 0.151951 | − | 0.988388i | \(-0.451444\pi\) |
0.971301 | + | 0.237855i | \(0.0764442\pi\) | |||||||
\(444\) | 8.52663 | + | 20.3575i | 0.404656 | + | 0.966123i | ||||
\(445\) | −2.86182 | − | 14.3873i | −0.135663 | − | 0.682024i | ||||
\(446\) | −20.2375 | − | 2.39313i | −0.958275 | − | 0.113318i | ||||
\(447\) | −22.5736 | − | 3.48886i | −1.06770 | − | 0.165018i | ||||
\(448\) | −14.2825 | + | 7.28858i | −0.674786 | + | 0.344353i | ||||
\(449\) | 29.0905i | 1.37286i | 0.727194 | + | 0.686432i | \(0.240824\pi\) | ||||
−0.727194 | + | 0.686432i | \(0.759176\pi\) | |||||||
\(450\) | −5.79517 | + | 12.8255i | −0.273187 | + | 0.604601i | ||||
\(451\) | 0.634955 | − | 0.126300i | 0.0298989 | − | 0.00594725i | ||||
\(452\) | 34.1769 | − | 20.9534i | 1.60754 | − | 0.985566i | ||||
\(453\) | −5.99652 | + | 2.79166i | −0.281741 | + | 0.131164i | ||||
\(454\) | 6.97888 | − | 0.549983i | 0.327535 | − | 0.0258120i | ||||
\(455\) | 7.99604 | + | 3.31207i | 0.374860 | + | 0.155272i | ||||
\(456\) | 4.82469 | + | 6.06936i | 0.225937 | + | 0.284224i | ||||
\(457\) | 28.0374 | − | 11.6135i | 1.31153 | − | 0.543255i | 0.386202 | − | 0.922414i | \(-0.373787\pi\) |
0.925331 | + | 0.379160i | \(0.123787\pi\) | |||||||
\(458\) | −3.03401 | − | 5.95303i | −0.141770 | − | 0.278167i | ||||
\(459\) | −24.4622 | − | 18.8435i | −1.14180 | − | 0.879539i | ||||
\(460\) | 17.0200 | − | 15.7397i | 0.793561 | − | 0.733868i | ||||
\(461\) | 7.06025 | − | 10.5664i | 0.328829 | − | 0.492127i | −0.629811 | − | 0.776748i | \(-0.716868\pi\) |
0.958640 | + | 0.284621i | \(0.0918678\pi\) | |||||||
\(462\) | −2.98525 | + | 3.81684i | −0.138886 | + | 0.177576i | ||||
\(463\) | 1.39596 | − | 1.39596i | 0.0648758 | − | 0.0648758i | −0.673924 | − | 0.738800i | \(-0.735393\pi\) |
0.738800 | + | 0.673924i | \(0.235393\pi\) | |||||||
\(464\) | 1.68491 | − | 5.98381i | 0.0782201 | − | 0.277791i | ||||
\(465\) | 2.46532 | + | 3.36669i | 0.114327 | + | 0.156126i | ||||
\(466\) | −6.22982 | + | 1.75769i | −0.288591 | + | 0.0814236i | ||||
\(467\) | −3.17450 | + | 4.75097i | −0.146898 | + | 0.219849i | −0.897620 | − | 0.440769i | \(-0.854706\pi\) |
0.750722 | + | 0.660618i | \(0.229706\pi\) | |||||||
\(468\) | 14.7700 | + | 13.4442i | 0.682744 | + | 0.621460i | ||||
\(469\) | −4.88714 | + | 24.5693i | −0.225667 | + | 1.13450i | ||||
\(470\) | −8.80868 | − | 2.86110i | −0.406314 | − | 0.131973i | ||||
\(471\) | 4.04795 | − | 0.987844i | 0.186520 | − | 0.0455175i | ||||
\(472\) | −19.8801 | + | 4.77938i | −0.915057 | + | 0.219989i | ||||
\(473\) | −7.24399 | − | 3.00056i | −0.333079 | − | 0.137966i | ||||
\(474\) | 11.0900 | − | 9.54572i | 0.509382 | − | 0.438449i | ||||
\(475\) | 4.36530 | − | 2.91680i | 0.200293 | − | 0.133832i | ||||
\(476\) | −23.5278 | + | 3.73147i | −1.07839 | + | 0.171032i | ||||
\(477\) | −1.02527 | + | 9.25474i | −0.0469441 | + | 0.423745i | ||||
\(478\) | −23.1149 | + | 18.2263i | −1.05725 | + | 0.833650i | ||||
\(479\) | 4.95212i | 0.226268i | 0.993580 | + | 0.113134i | \(0.0360889\pi\) | ||||
−0.993580 | + | 0.113134i | \(0.963911\pi\) | |||||||
\(480\) | −0.553084 | − | 12.6978i | −0.0252447 | − | 0.579574i | ||||
\(481\) | − | 21.2086i | − | 0.967031i | ||||||
\(482\) | −12.6207 | − | 16.0058i | −0.574857 | − | 0.729046i | ||||
\(483\) | 30.9922 | − | 1.33373i | 1.41019 | − | 0.0606868i | ||||
\(484\) | −16.2247 | − | 11.7828i | −0.737487 | − | 0.535581i | ||||
\(485\) | 4.34064 | − | 2.90032i | 0.197098 | − | 0.131697i | ||||
\(486\) | 21.9411 | − | 2.14238i | 0.995267 | − | 0.0971805i | ||||
\(487\) | 30.9423 | + | 12.8167i | 1.40213 | + | 0.580781i | 0.950303 | − | 0.311325i | \(-0.100773\pi\) |
0.451826 | + | 0.892106i | \(0.350773\pi\) | |||||||
\(488\) | 5.23865 | − | 33.1427i | 0.237143 | − | 1.50030i | ||||
\(489\) | 5.01319 | + | 20.5429i | 0.226704 | + | 0.928981i | ||||
\(490\) | −1.69028 | + | 5.20399i | −0.0763590 | + | 0.235092i | ||||
\(491\) | −4.34757 | + | 21.8567i | −0.196203 | + | 0.986380i | 0.749662 | + | 0.661821i | \(0.230216\pi\) |
−0.945865 | + | 0.324559i | \(0.894784\pi\) | |||||||
\(492\) | −2.22684 | + | 0.452089i | −0.100394 | + | 0.0203818i | ||||
\(493\) | 5.13095 | − | 7.67901i | 0.231086 | − | 0.345845i | ||||
\(494\) | −2.02310 | − | 7.17049i | −0.0910234 | − | 0.322616i | ||||
\(495\) | −1.76925 | − | 3.40909i | −0.0795217 | − | 0.153227i | ||||
\(496\) | 6.62058 | + | 3.36987i | 0.297273 | + | 0.151312i | ||||
\(497\) | 15.6937 | − | 15.6937i | 0.703961 | − | 0.703961i | ||||
\(498\) | 23.4604 | − | 29.9957i | 1.05129 | − | 1.34414i | ||||
\(499\) | −8.51962 | + | 12.7505i | −0.381390 | + | 0.570791i | −0.971650 | − | 0.236422i | \(-0.924025\pi\) |
0.590260 | + | 0.807213i | \(0.299025\pi\) | |||||||
\(500\) | −21.5618 | − | 0.842659i | −0.964275 | − | 0.0376848i | ||||
\(501\) | −8.75391 | + | 24.0045i | −0.391096 | + | 1.07244i | ||||
\(502\) | −14.4926 | + | 7.38623i | −0.646834 | + | 0.329664i | ||||
\(503\) | −2.92455 | + | 1.21139i | −0.130399 | + | 0.0540131i | −0.446929 | − | 0.894569i | \(-0.647482\pi\) |
0.316530 | + | 0.948583i | \(0.397482\pi\) | |||||||
\(504\) | 10.4249 | − | 13.4378i | 0.464360 | − | 0.598569i | ||||
\(505\) | 20.0491 | + | 8.30463i | 0.892175 | + | 0.369551i | ||||
\(506\) | −0.979839 | − | 12.4334i | −0.0435592 | − | 0.552734i | ||||
\(507\) | 1.40313 | + | 3.01394i | 0.0623152 | + | 0.133854i | ||||
\(508\) | 0.0724798 | − | 0.302178i | 0.00321577 | − | 0.0134070i | ||||
\(509\) | −21.4086 | + | 4.25843i | −0.948919 | + | 0.188752i | −0.645203 | − | 0.764011i | \(-0.723227\pi\) |
−0.303716 | + | 0.952763i | \(0.598227\pi\) | |||||||
\(510\) | 5.05554 | − | 18.1929i | 0.223863 | − | 0.805595i | ||||
\(511\) | − | 17.8414i | − | 0.789257i | ||||||
\(512\) | −11.0748 | − | 19.7319i | −0.489441 | − | 0.872037i | ||||
\(513\) | −7.36877 | − | 3.65108i | −0.325339 | − | 0.161199i | ||||
\(514\) | 0.457656 | − | 3.87018i | 0.0201864 | − | 0.170706i | ||||
\(515\) | 0.978097 | + | 4.91723i | 0.0431001 | + | 0.216679i | ||||
\(516\) | 25.4668 | + | 10.4311i | 1.12111 | + | 0.459204i | ||||
\(517\) | −4.14301 | + | 2.76827i | −0.182209 | + | 0.121748i | ||||
\(518\) | −18.0043 | + | 1.41886i | −0.791062 | + | 0.0623410i | ||||
\(519\) | −12.6992 | − | 7.71693i | −0.557433 | − | 0.338736i | ||||
\(520\) | −4.22363 | + | 11.4597i | −0.185219 | + | 0.502541i | ||||
\(521\) | 10.3999 | + | 25.1077i | 0.455630 | + | 1.09999i | 0.970149 | + | 0.242509i | \(0.0779705\pi\) |
−0.514519 | + | 0.857479i | \(0.672030\pi\) | |||||||
\(522\) | 1.08080 | + | 6.50441i | 0.0473054 | + | 0.284690i | ||||
\(523\) | 5.49571 | − | 27.6288i | 0.240310 | − | 1.20812i | −0.652535 | − | 0.757759i | \(-0.726294\pi\) |
0.892845 | − | 0.450363i | \(-0.148706\pi\) | |||||||
\(524\) | −1.35954 | + | 34.7876i | −0.0593916 | + | 1.51970i | ||||
\(525\) | −8.48589 | − | 7.78566i | −0.370355 | − | 0.339794i | ||||
\(526\) | 5.96324 | + | 3.33875i | 0.260009 | + | 0.145577i | ||||
\(527\) | 7.80405 | + | 7.80405i | 0.339950 | + | 0.339950i | ||||
\(528\) | −5.54861 | − | 3.99618i | −0.241472 | − | 0.173911i | ||||
\(529\) | −40.1946 | + | 40.1946i | −1.74759 | + | 1.74759i | ||||
\(530\) | −5.48000 | + | 1.54614i | −0.238036 | + | 0.0671599i | ||||
\(531\) | 16.9302 | − | 13.5532i | 0.734709 | − | 0.588157i | ||||
\(532\) | −5.95176 | + | 2.19713i | −0.258042 | + | 0.0952578i | ||||
\(533\) | 2.14153 | + | 0.425976i | 0.0927598 | + | 0.0184511i | ||||
\(534\) | 24.7288 | + | 12.4805i | 1.07012 | + | 0.540084i | ||||
\(535\) | 2.88172 | − | 1.19365i | 0.124588 | − | 0.0516059i | ||||
\(536\) | −34.9166 | − | 5.51905i | −1.50817 | − | 0.238386i | ||||
\(537\) | 10.2277 | + | 6.21506i | 0.441357 | + | 0.268200i | ||||
\(538\) | −23.0550 | + | 26.9996i | −0.993971 | + | 1.16404i | ||||
\(539\) | 1.63544 | + | 2.44760i | 0.0704433 | + | 0.105426i | ||||
\(540\) | 6.25699 | + | 11.9408i | 0.269258 | + | 0.513852i | ||||
\(541\) | 26.1330 | − | 5.19818i | 1.12355 | − | 0.223487i | 0.401856 | − | 0.915703i | \(-0.368365\pi\) |
0.721691 | + | 0.692216i | \(0.243365\pi\) | |||||||
\(542\) | 3.93807 | − | 3.10519i | 0.169154 | − | 0.133379i | ||||
\(543\) | 35.6135 | + | 5.50424i | 1.52832 | + | 0.236209i | ||||
\(544\) | −6.57539 | − | 32.9668i | −0.281917 | − | 1.41344i | ||||
\(545\) | 15.6510 | 0.670415 | ||||||||
\(546\) | −14.2283 | + | 8.04023i | −0.608917 | + | 0.344090i | ||||
\(547\) | −0.671852 | − | 3.37763i | −0.0287263 | − | 0.144417i | 0.963760 | − | 0.266769i | \(-0.0859562\pi\) |
−0.992487 | + | 0.122352i | \(0.960956\pi\) | |||||||
\(548\) | −4.29160 | − | 27.0595i | −0.183328 | − | 1.15593i | ||||
\(549\) | 9.91626 | + | 34.1802i | 0.423216 | + | 1.45878i | ||||
\(550\) | −3.00669 | + | 3.52113i | −0.128206 | + | 0.150141i | ||||
\(551\) | 0.941263 | − | 2.27241i | 0.0400991 | − | 0.0968079i | ||||
\(552\) | 3.61131 | + | 43.6258i | 0.153708 | + | 1.85684i | ||||
\(553\) | 4.58200 | + | 11.0619i | 0.194846 | + | 0.470401i | ||||
\(554\) | −4.49166 | + | 13.8288i | −0.190832 | + | 0.587530i | ||||
\(555\) | 4.90451 | − | 13.4488i | 0.208185 | − | 0.570872i | ||||
\(556\) | 0.790417 | − | 1.71549i | 0.0335212 | − | 0.0727530i | ||||
\(557\) | 7.56429 | + | 5.05430i | 0.320509 | + | 0.214157i | 0.705408 | − | 0.708801i | \(-0.250764\pi\) |
−0.384899 | + | 0.922959i | \(0.625764\pi\) | |||||||
\(558\) | −7.87555 | − | 0.249656i | −0.333399 | − | 0.0105688i | ||||
\(559\) | −18.6994 | − | 18.6994i | −0.790901 | − | 0.790901i | ||||
\(560\) | 10.0108 | + | 2.81884i | 0.423035 | + | 0.119118i | ||||
\(561\) | −6.00175 | − | 8.19610i | −0.253394 | − | 0.346040i | ||||
\(562\) | 31.3991 | + | 17.5801i | 1.32449 | + | 0.741570i | ||||
\(563\) | 23.8770 | + | 15.9541i | 1.00630 | + | 0.672386i | 0.945452 | − | 0.325762i | \(-0.105621\pi\) |
0.0608444 | + | 0.998147i | \(0.480621\pi\) | |||||||
\(564\) | 14.5029 | − | 9.77356i | 0.610683 | − | 0.411541i | ||||
\(565\) | −25.5018 | − | 5.07263i | −1.07287 | − | 0.213407i | ||||
\(566\) | 21.2266 | − | 10.8183i | 0.892222 | − | 0.454727i | ||||
\(567\) | −3.94842 | + | 17.6017i | −0.165818 | + | 0.739202i | ||||
\(568\) | 23.0052 | + | 21.2524i | 0.965277 | + | 0.891733i | ||||
\(569\) | −0.967449 | + | 2.33563i | −0.0405576 | + | 0.0979147i | −0.942860 | − | 0.333188i | \(-0.891875\pi\) |
0.902303 | + | 0.431103i | \(0.141875\pi\) | |||||||
\(570\) | 0.375291 | − | 5.01480i | 0.0157192 | − | 0.210047i | ||||
\(571\) | 13.9993 | + | 20.9514i | 0.585850 | + | 0.876787i | 0.999433 | − | 0.0336797i | \(-0.0107226\pi\) |
−0.413582 | + | 0.910467i | \(0.635723\pi\) | |||||||
\(572\) | 3.43435 | + | 5.60173i | 0.143597 | + | 0.234220i | ||||
\(573\) | 26.7556 | − | 1.15141i | 1.11773 | − | 0.0481009i | ||||
\(574\) | 0.218348 | − | 1.84646i | 0.00911367 | − | 0.0770699i | ||||
\(575\) | 29.6417 | 1.23614 | ||||||||
\(576\) | 19.5301 | + | 13.9491i | 0.813753 | + | 0.581211i | ||||
\(577\) | −23.0087 | −0.957866 | −0.478933 | − | 0.877852i | \(-0.658976\pi\) | ||||
−0.478933 | + | 0.877852i | \(0.658976\pi\) | |||||||
\(578\) | 3.04150 | − | 25.7205i | 0.126510 | − | 1.06983i | ||||
\(579\) | 7.69274 | − | 0.331053i | 0.319700 | − | 0.0137581i | ||||
\(580\) | −3.43742 | + | 2.10744i | −0.142731 | + | 0.0875067i | ||||
\(581\) | 17.3117 | + | 25.9088i | 0.718212 | + | 1.07488i | ||||
\(582\) | −0.735663 | + | 9.83025i | −0.0304942 | + | 0.407477i | ||||
\(583\) | −1.17228 | + | 2.83014i | −0.0485509 | + | 0.117212i | ||||
\(584\) | 25.1571 | − | 0.996316i | 1.04101 | − | 0.0412279i | ||||
\(585\) | −1.11289 | − | 12.9062i | −0.0460122 | − | 0.533607i | ||||
\(586\) | −5.47249 | + | 2.78909i | −0.226066 | + | 0.115216i | ||||
\(587\) | 0.289296 | + | 0.0575446i | 0.0119405 | + | 0.00237512i | 0.201057 | − | 0.979580i | \(-0.435562\pi\) |
−0.189116 | + | 0.981955i | \(0.560562\pi\) | |||||||
\(588\) | −5.77402 | − | 8.56803i | −0.238117 | − | 0.353340i | ||||
\(589\) | 2.44396 | + | 1.63300i | 0.100702 | + | 0.0672867i | ||||
\(590\) | 11.5714 | + | 6.47870i | 0.476386 | + | 0.266724i | ||||
\(591\) | 2.44397 | + | 3.33753i | 0.100531 | + | 0.137287i | ||||
\(592\) | −3.00606 | − | 25.3075i | −0.123548 | − | 1.04013i | ||||
\(593\) | 19.2525 | + | 19.2525i | 0.790607 | + | 0.790607i | 0.981593 | − | 0.190986i | \(-0.0611684\pi\) |
−0.190986 | + | 0.981593i | \(0.561168\pi\) | |||||||
\(594\) | 7.12886 | + | 1.33432i | 0.292501 | + | 0.0547480i | ||||
\(595\) | 12.8469 | + | 8.58401i | 0.526671 | + | 0.351910i | ||||
\(596\) | 23.9548 | + | 11.0373i | 0.981227 | + | 0.452104i | ||||
\(597\) | −12.3131 | + | 33.7643i | −0.503943 | + | 1.38188i | ||||
\(598\) | 12.9945 | − | 40.0071i | 0.531384 | − | 1.63601i | ||||
\(599\) | 3.30506 | + | 7.97913i | 0.135041 | + | 0.326018i | 0.976906 | − | 0.213670i | \(-0.0685419\pi\) |
−0.841865 | + | 0.539689i | \(0.818542\pi\) | |||||||
\(600\) | 10.5042 | − | 12.4002i | 0.428833 | − | 0.506237i | ||||
\(601\) | 8.94164 | − | 21.5870i | 0.364737 | − | 0.880553i | −0.629857 | − | 0.776711i | \(-0.716886\pi\) |
0.994594 | − | 0.103842i | \(-0.0331136\pi\) | |||||||
\(602\) | −14.6231 | + | 17.1251i | −0.595995 | + | 0.697968i | ||||
\(603\) | 36.0097 | − | 10.4470i | 1.46643 | − | 0.425435i | ||||
\(604\) | 7.54349 | − | 1.19639i | 0.306940 | − | 0.0486802i | ||||
\(605\) | 2.53726 | + | 12.7557i | 0.103154 | + | 0.518592i | ||||
\(606\) | −35.6759 | + | 20.1599i | −1.44923 | + | 0.818941i | ||||
\(607\) | −16.1373 | −0.654991 | −0.327496 | − | 0.944853i | \(-0.606205\pi\) | ||||
−0.327496 | + | 0.944853i | \(0.606205\pi\) | |||||||
\(608\) | −3.43041 | − | 8.26954i | −0.139122 | − | 0.335374i | ||||
\(609\) | −5.33204 | − | 0.824093i | −0.216065 | − | 0.0333940i | ||||
\(610\) | −17.0896 | + | 13.4752i | −0.691938 | + | 0.545597i | ||||
\(611\) | −16.4825 | + | 3.27858i | −0.666812 | + | 0.132637i | ||||
\(612\) | 21.1787 | + | 28.6838i | 0.856098 | + | 1.15947i | ||||
\(613\) | −7.46059 | − | 11.1656i | −0.301330 | − | 0.450973i | 0.649646 | − | 0.760237i | \(-0.274917\pi\) |
−0.950976 | + | 0.309264i | \(0.899917\pi\) | |||||||
\(614\) | 3.17809 | − | 3.72186i | 0.128257 | − | 0.150202i | ||||
\(615\) | 1.25948 | + | 0.765349i | 0.0507871 | + | 0.0308619i | ||||
\(616\) | 4.52561 | − | 3.29021i | 0.182342 | − | 0.132566i | ||||
\(617\) | 11.9765 | − | 4.96085i | 0.482157 | − | 0.199716i | −0.128346 | − | 0.991729i | \(-0.540967\pi\) |
0.610504 | + | 0.792013i | \(0.290967\pi\) | |||||||
\(618\) | −8.45168 | − | 4.26552i | −0.339976 | − | 0.171584i | ||||
\(619\) | −0.0735165 | − | 0.0146233i | −0.00295488 | − | 0.000587762i | 0.193613 | − | 0.981078i | \(-0.437979\pi\) |
−0.196568 | + | 0.980490i | \(0.562979\pi\) | |||||||
\(620\) | −1.66866 | − | 4.52019i | −0.0670149 | − | 0.181535i | ||||
\(621\) | −23.1397 | − | 40.2534i | −0.928565 | − | 1.61531i | ||||
\(622\) | 25.8483 | − | 7.29290i | 1.03642 | − | 0.292419i | ||||
\(623\) | −16.0272 | + | 16.0272i | −0.642117 | + | 0.642117i | ||||
\(624\) | −12.1316 | − | 19.6136i | −0.485653 | − | 0.785171i | ||||
\(625\) | −1.83194 | − | 1.83194i | −0.0732776 | − | 0.0732776i | ||||
\(626\) | −16.4776 | − | 9.22566i | −0.658579 | − | 0.368732i | ||||
\(627\) | −1.99355 | − | 1.82905i | −0.0796149 | − | 0.0730452i | ||||
\(628\) | −4.80767 | − | 0.187889i | −0.191847 | − | 0.00749757i | ||||
\(629\) | 7.38652 | − | 37.1346i | 0.294520 | − | 1.48065i | ||||
\(630\) | −10.8818 | + | 1.80817i | −0.433541 | + | 0.0720391i | ||||
\(631\) | 8.89318 | + | 21.4700i | 0.354032 | + | 0.854708i | 0.996114 | + | 0.0880725i | \(0.0280707\pi\) |
−0.642082 | + | 0.766636i | \(0.721929\pi\) | |||||||
\(632\) | −15.3419 | + | 7.07853i | −0.610268 | + | 0.281569i | ||||
\(633\) | −4.07072 | − | 2.47366i | −0.161797 | − | 0.0983192i | ||||
\(634\) | 20.9113 | − | 1.64795i | 0.830494 | − | 0.0654485i | ||||
\(635\) | −0.167584 | + | 0.111976i | −0.00665036 | + | 0.00444363i | ||||
\(636\) | 4.07531 | − | 9.94956i | 0.161597 | − | 0.394526i | ||||
\(637\) | 1.93692 | + | 9.73754i | 0.0767435 | + | 0.385816i | ||||
\(638\) | −0.254739 | + | 2.15420i | −0.0100852 | + | 0.0852857i | ||||
\(639\) | −31.6693 | − | 10.0288i | −1.25282 | − | 0.396735i | ||||
\(640\) | −3.41564 | + | 14.2731i | −0.135015 | + | 0.564194i | ||||
\(641\) | 9.61269i | 0.379678i | 0.981815 | + | 0.189839i | \(0.0607967\pi\) | ||||
−0.981815 | + | 0.189839i | \(0.939203\pi\) | |||||||
\(642\) | −1.57696 | + | 5.67485i | −0.0622376 | + | 0.223968i | ||||
\(643\) | −25.0712 | + | 4.98697i | −0.988710 | + | 0.196667i | −0.662851 | − | 0.748751i | \(-0.730654\pi\) |
−0.325860 | + | 0.945418i | \(0.605654\pi\) | |||||||
\(644\) | −34.8318 | − | 8.35469i | −1.37257 | − | 0.329221i | ||||
\(645\) | −7.53344 | − | 16.1819i | −0.296629 | − | 0.637163i | ||||
\(646\) | −1.04494 | − | 13.2595i | −0.0411126 | − | 0.521689i | ||||
\(647\) | 37.7603 | + | 15.6408i | 1.48451 | + | 0.614905i | 0.970115 | − | 0.242647i | \(-0.0780156\pi\) |
0.514398 | + | 0.857552i | \(0.328016\pi\) | |||||||
\(648\) | −25.0396 | − | 4.58450i | −0.983649 | − | 0.180096i | ||||
\(649\) | 6.59161 | − | 2.73033i | 0.258743 | − | 0.107175i | ||||
\(650\) | −13.9135 | + | 7.09111i | −0.545732 | + | 0.278136i | ||||
\(651\) | 2.20899 | − | 6.05735i | 0.0865770 | − | 0.237406i | ||||
\(652\) | 0.953512 | − | 24.3983i | 0.0373424 | − | 0.955513i | ||||
\(653\) | 16.1634 | − | 24.1903i | 0.632523 | − | 0.946638i | −0.367340 | − | 0.930087i | \(-0.619731\pi\) |
0.999863 | − | 0.0165511i | \(-0.00526862\pi\) | |||||||
\(654\) | −18.2072 | + | 23.2792i | −0.711958 | + | 0.910287i | ||||
\(655\) | 15.9668 | − | 15.9668i | 0.623873 | − | 0.623873i | ||||
\(656\) | 2.61578 | + | 0.204768i | 0.102129 | + | 0.00799483i | ||||
\(657\) | −23.7022 | + | 12.3009i | −0.924711 | + | 0.479905i | ||||
\(658\) | 3.88590 | + | 13.7729i | 0.151488 | + | 0.536922i | ||||
\(659\) | 0.185192 | − | 0.277160i | 0.00721407 | − | 0.0107966i | −0.827845 | − | 0.560957i | \(-0.810433\pi\) |
0.835059 | + | 0.550160i | \(0.185433\pi\) | |||||||
\(660\) | 0.882393 | + | 4.34637i | 0.0343471 | + | 0.169182i | ||||
\(661\) | 6.23540 | − | 31.3475i | 0.242529 | − | 1.21928i | −0.647033 | − | 0.762462i | \(-0.723991\pi\) |
0.889562 | − | 0.456814i | \(-0.151009\pi\) | |||||||
\(662\) | 13.3948 | − | 41.2396i | 0.520603 | − | 1.60282i | ||||
\(663\) | −8.12281 | − | 33.2853i | −0.315464 | − | 1.29270i | ||||
\(664\) | −35.5658 | + | 25.8571i | −1.38022 | + | 1.00345i | ||||
\(665\) | 3.80171 | + | 1.57472i | 0.147424 | + | 0.0610650i | ||||
\(666\) | 14.2982 | + | 22.9403i | 0.554042 | + | 0.888919i | ||||
\(667\) | 11.5466 | − | 7.71517i | 0.447085 | − | 0.298733i | ||||
\(668\) | 17.3368 | − | 23.8725i | 0.670780 | − | 0.923655i | ||||
\(669\) | −24.9354 | + | 1.07308i | −0.964059 | + | 0.0414877i | ||||
\(670\) | 14.1965 | + | 18.0043i | 0.548458 | + | 0.695567i | ||||
\(671\) | 11.7085i | 0.452003i | ||||||||
\(672\) | −15.8386 | + | 11.6108i | −0.610986 | + | 0.447896i | ||||
\(673\) | 21.8536i | 0.842395i | 0.906969 | + | 0.421197i | \(0.138390\pi\) | ||||
−0.906969 | + | 0.421197i | \(0.861610\pi\) | |||||||
\(674\) | −11.9979 | + | 9.46044i | −0.462143 | + | 0.364402i | ||||
\(675\) | −4.49252 | + | 16.6414i | −0.172917 | + | 0.640526i | ||||
\(676\) | −0.601321 | − | 3.79147i | −0.0231277 | − | 0.145826i | ||||
\(677\) | −29.3203 | + | 19.5912i | −1.12687 | + | 0.752951i | −0.971999 | − | 0.234984i | \(-0.924496\pi\) |
−0.154871 | + | 0.987935i | \(0.549496\pi\) | |||||||
\(678\) | 37.2119 | − | 32.0301i | 1.42912 | − | 1.23011i | ||||
\(679\) | −7.45229 | − | 3.08684i | −0.285993 | − | 0.118462i | ||||
\(680\) | −11.3864 | + | 18.5940i | −0.436649 | + | 0.713047i | ||||
\(681\) | 8.32941 | − | 2.03267i | 0.319184 | − | 0.0778923i | ||||
\(682\) | −2.46547 | − | 0.800794i | −0.0944076 | − | 0.0306640i | ||||
\(683\) | 1.35779 | − | 6.82609i | 0.0519545 | − | 0.261193i | −0.946074 | − | 0.323950i | \(-0.894989\pi\) |
0.998029 | + | 0.0627565i | \(0.0199892\pi\) | |||||||
\(684\) | 7.02238 | + | 6.39205i | 0.268508 | + | 0.244406i | ||||
\(685\) | −9.87256 | + | 14.7753i | −0.377211 | + | 0.564536i | ||||
\(686\) | 27.2332 | − | 7.68363i | 1.03977 | − | 0.293362i | ||||
\(687\) | −4.83471 | − | 6.60237i | −0.184456 | − | 0.251896i | ||||
\(688\) | −24.9637 | − | 19.6629i | −0.951733 | − | 0.749642i | ||||
\(689\) | −7.30563 | + | 7.30563i | −0.278322 | + | 0.278322i | ||||
\(690\) | 17.4917 | − | 22.3644i | 0.665899 | − | 0.851398i | ||||
\(691\) | 3.67684 | − | 5.50279i | 0.139874 | − | 0.209336i | −0.754918 | − | 0.655819i | \(-0.772324\pi\) |
0.894792 | + | 0.446483i | \(0.147324\pi\) | |||||||
\(692\) | 11.6501 | + | 12.5977i | 0.442870 | + | 0.478894i | ||||
\(693\) | −2.86100 | + | 5.19949i | −0.108680 | + | 0.197512i | ||||
\(694\) | 2.50457 | + | 4.91423i | 0.0950723 | + | 0.186542i | ||||
\(695\) | −1.13184 | + | 0.468822i | −0.0429330 | + | 0.0177834i | ||||
\(696\) | 0.864249 | − | 7.56442i | 0.0327593 | − | 0.286729i | ||||
\(697\) | 3.60128 | + | 1.49170i | 0.136408 | + | 0.0565021i | ||||
\(698\) | −19.9029 | + | 1.56848i | −0.753336 | + | 0.0593679i | ||||
\(699\) | −7.18713 | + | 3.34595i | −0.271842 | + | 0.126555i | ||||
\(700\) | 6.95053 | + | 11.3369i | 0.262705 | + | 0.428495i | ||||
\(701\) | −17.0957 | + | 3.40054i | −0.645695 | + | 0.128437i | −0.507065 | − | 0.861908i | \(-0.669270\pi\) |
−0.138630 | + | 0.990344i | \(0.544270\pi\) | |||||||
\(702\) | 20.4913 | + | 13.3589i | 0.773393 | + | 0.504197i | ||||
\(703\) | − | 10.0836i | − | 0.380311i | ||||||
\(704\) | 4.89206 | + | 6.19756i | 0.184376 | + | 0.233579i | ||||
\(705\) | −11.2101 | − | 1.73258i | −0.422197 | − | 0.0652526i | ||||
\(706\) | 46.0517 | + | 5.44571i | 1.73318 | + | 0.204952i | ||||
\(707\) | −6.54159 | − | 32.8868i | −0.246022 | − | 1.23683i | ||||
\(708\) | −23.0976 | + | 9.67433i | −0.868062 | + | 0.363584i | ||||
\(709\) | −30.5589 | + | 20.4188i | −1.14766 | + | 0.766844i | −0.975884 | − | 0.218292i | \(-0.929952\pi\) |
−0.171779 | + | 0.985135i | \(0.554952\pi\) | |||||||
\(710\) | −1.59591 | − | 20.2509i | −0.0598935 | − | 0.760004i | ||||
\(711\) | 11.5366 | − | 13.7139i | 0.432656 | − | 0.514312i | ||||
\(712\) | −23.4940 | − | 21.7040i | −0.880476 | − | 0.813393i | ||||
\(713\) | 6.35072 | + | 15.3320i | 0.237836 | + | 0.574187i | ||||
\(714\) | −27.7129 | + | 9.12233i | −1.03713 | + | 0.341395i | ||||
\(715\) | 0.831425 | − | 4.17986i | 0.0310935 | − | 0.156318i | ||||
\(716\) | −9.38275 | − | 10.1460i | −0.350650 | − | 0.379172i | ||||
\(717\) | −24.3730 | + | 26.5651i | −0.910226 | + | 0.992091i | ||||
\(718\) | −25.0363 | + | 44.7166i | −0.934348 | + | 1.66881i | ||||
\(719\) | −1.15249 | − | 1.15249i | −0.0429805 | − | 0.0429805i | 0.685290 | − | 0.728270i | \(-0.259676\pi\) |
−0.728270 | + | 0.685290i | \(0.759676\pi\) | |||||||
\(720\) | −3.15726 | − | 15.2428i | −0.117664 | − | 0.568066i | ||||
\(721\) | 5.47770 | − | 5.47770i | 0.204000 | − | 0.204000i | ||||
\(722\) | 6.33444 | + | 22.4513i | 0.235743 | + | 0.835550i | ||||
\(723\) | −18.3949 | − | 16.8770i | −0.684112 | − | 0.627661i | ||||
\(724\) | −37.7925 | − | 17.4130i | −1.40455 | − | 0.647150i | ||||
\(725\) | −5.05641 | − | 1.00578i | −0.187790 | − | 0.0373538i | ||||
\(726\) | −21.9243 | − | 11.0651i | −0.813688 | − | 0.410664i | ||||
\(727\) | 20.8812 | − | 8.64926i | 0.774440 | − | 0.320783i | 0.0397704 | − | 0.999209i | \(-0.487337\pi\) |
0.734669 | + | 0.678425i | \(0.237337\pi\) | |||||||
\(728\) | 18.3484 | − | 4.41113i | 0.680036 | − | 0.163487i | ||||
\(729\) | 26.1060 | − | 6.89021i | 0.966890 | − | 0.255193i | ||||
\(730\) | −12.4183 | − | 10.6040i | −0.459621 | − | 0.392470i | ||||
\(731\) | −26.2285 | − | 39.2537i | −0.970096 | − | 1.45185i | ||||
\(732\) | −0.162193 | − | 41.0950i | −0.00599483 | − | 1.51892i | ||||
\(733\) | −4.76718 | + | 0.948252i | −0.176080 | + | 0.0350245i | −0.282343 | − | 0.959314i | \(-0.591112\pi\) |
0.106263 | + | 0.994338i | \(0.466112\pi\) | |||||||
\(734\) | 21.8401 | + | 27.6981i | 0.806134 | + | 1.02236i | ||||
\(735\) | −1.02357 | + | 6.62270i | −0.0377550 | + | 0.244282i | ||||
\(736\) | 9.83535 | − | 49.5809i | 0.362536 | − | 1.82758i | ||||
\(737\) | 12.3352 | 0.454373 | ||||||||
\(738\) | −2.60356 | + | 0.982989i | −0.0958383 | + | 0.0361843i | ||||
\(739\) | 4.90789 | + | 24.6736i | 0.180540 | + | 0.907634i | 0.959747 | + | 0.280867i | \(0.0906221\pi\) |
−0.779207 | + | 0.626767i | \(0.784378\pi\) | |||||||
\(740\) | −9.71318 | + | 13.3749i | −0.357064 | + | 0.491672i | ||||
\(741\) | −3.85117 | − | 8.27235i | −0.141476 | − | 0.303892i | ||||
\(742\) | 6.69058 | + | 5.71309i | 0.245619 | + | 0.209734i | ||||
\(743\) | −3.84400 | + | 9.28024i | −0.141023 | + | 0.340459i | −0.978573 | − | 0.205902i | \(-0.933987\pi\) |
0.837550 | + | 0.546361i | \(0.183987\pi\) | |||||||
\(744\) | 8.66448 | + | 2.77650i | 0.317655 | + | 0.101792i | ||||
\(745\) | −6.54655 | − | 15.8048i | −0.239847 | − | 0.579042i | ||||
\(746\) | −27.4711 | − | 8.92273i | −1.00579 | − | 0.326684i | ||||
\(747\) | 22.4840 | − | 40.8616i | 0.822646 | − | 1.49505i | ||||
\(748\) | 4.06230 | + | 11.0043i | 0.148532 | + | 0.402356i | ||||
\(749\) | −4.00728 | − | 2.67758i | −0.146423 | − | 0.0978367i | ||||
\(750\) | −26.2326 | + | 3.20709i | −0.957879 | + | 0.117106i | ||||
\(751\) | 7.79992 | + | 7.79992i | 0.284623 | + | 0.284623i | 0.834950 | − | 0.550327i | \(-0.185497\pi\) |
−0.550327 | + | 0.834950i | \(0.685497\pi\) | |||||||
\(752\) | −19.2033 | + | 6.24840i | −0.700273 | + | 0.227856i | ||||
\(753\) | −16.0733 | + | 11.7700i | −0.585745 | + | 0.428923i | ||||
\(754\) | −3.57416 | + | 6.38368i | −0.130163 | + | 0.232480i | ||||
\(755\) | −4.11897 | − | 2.75221i | −0.149905 | − | 0.100163i | ||||
\(756\) | 9.96962 | − | 18.2890i | 0.362591 | − | 0.665163i | ||||
\(757\) | 29.7399 | + | 5.91564i | 1.08092 | + | 0.215008i | 0.703256 | − | 0.710937i | \(-0.251729\pi\) |
0.377660 | + | 0.925944i | \(0.376729\pi\) | |||||||
\(758\) | 21.2367 | + | 41.6687i | 0.771353 | + | 1.51348i | ||||
\(759\) | −3.62138 | − | 14.8395i | −0.131448 | − | 0.538641i | ||||
\(760\) | −2.00812 | + | 5.44851i | −0.0728422 | + | 0.197638i | ||||
\(761\) | −0.0147356 | + | 0.0355749i | −0.000534165 | + | 0.00128959i | −0.924146 | − | 0.382039i | \(-0.875222\pi\) |
0.923612 | + | 0.383328i | \(0.125222\pi\) | |||||||
\(762\) | 0.0284025 | − | 0.379527i | 0.00102892 | − | 0.0137488i | ||||
\(763\) | −13.4353 | − | 20.1074i | −0.486391 | − | 0.727936i | ||||
\(764\) | −30.0704 | − | 7.21262i | −1.08791 | − | 0.260943i | ||||
\(765\) | 2.54640 | − | 22.9853i | 0.0920653 | − | 0.831037i | ||||
\(766\) | 17.1260 | + | 2.02518i | 0.618787 | + | 0.0731727i | ||||
\(767\) | 24.0634 | 0.868878 | ||||||||
\(768\) | −17.2562 | − | 21.6847i | −0.622679 | − | 0.782478i | ||||
\(769\) | 7.77174 | 0.280256 | 0.140128 | − | 0.990133i | \(-0.455249\pi\) | ||||
0.140128 | + | 0.990133i | \(0.455249\pi\) | |||||||
\(770\) | −3.60395 | − | 0.426174i | −0.129877 | − | 0.0153582i | ||||
\(771\) | −0.205214 | − | 4.76860i | −0.00739060 | − | 0.171737i | ||||
\(772\) | −8.64581 | − | 2.07377i | −0.311170 | − | 0.0746365i | ||||
\(773\) | −9.12175 | − | 13.6517i | −0.328087 | − | 0.491016i | 0.630354 | − | 0.776308i | \(-0.282910\pi\) |
−0.958441 | + | 0.285291i | \(0.907910\pi\) | |||||||
\(774\) | 32.8327 | + | 7.61968i | 1.18015 | + | 0.273884i | ||||
\(775\) | 2.35768 | − | 5.69194i | 0.0846903 | − | 0.204461i | ||||
\(776\) | 3.93641 | − | 10.6804i | 0.141309 | − | 0.383405i | ||||
\(777\) | −21.4884 | + | 5.24393i | −0.770892 | + | 0.188125i | ||||
\(778\) | 0.409857 | + | 0.804182i | 0.0146941 | + | 0.0288313i | ||||
\(779\) | 1.01819 | + | 0.202530i | 0.0364803 | + | 0.00725639i | ||||
\(780\) | −2.86026 | + | 14.6821i | −0.102414 | + | 0.525704i | ||||
\(781\) | −9.08690 | − | 6.07167i | −0.325155 | − | 0.217262i | ||||
\(782\) | 36.6859 | − | 65.5234i | 1.31189 | − | 2.34311i | ||||
\(783\) | 2.58143 | + | 7.65177i | 0.0922527 | + | 0.273452i | ||||
\(784\) | 3.69143 | + | 11.3449i | 0.131837 | + | 0.405176i | ||||
\(785\) | 2.20662 | + | 2.20662i | 0.0787575 | + | 0.0787575i | ||||
\(786\) | 5.17427 | + | 42.3233i | 0.184560 | + | 1.50962i | ||||
\(787\) | −12.7036 | − | 8.48825i | −0.452833 | − | 0.302574i | 0.308159 | − | 0.951335i | \(-0.400287\pi\) |
−0.760992 | + | 0.648762i | \(0.775287\pi\) | |||||||
\(788\) | −1.65420 | − | 4.48104i | −0.0589286 | − | 0.159630i | ||||
\(789\) | 7.86368 | + | 2.86771i | 0.279954 | + | 0.102093i | ||||
\(790\) | 10.4228 | + | 3.38537i | 0.370826 | + | 0.120446i | ||||
\(791\) | 15.3746 | + | 37.1176i | 0.546658 | + | 1.31975i | ||||
\(792\) | −7.49126 | − | 3.74378i | −0.266190 | − | 0.133029i | ||||
\(793\) | −15.1120 | + | 36.4836i | −0.536644 | + | 1.29557i | ||||
\(794\) | −15.8325 | − | 13.5193i | −0.561873 | − | 0.479784i | ||||
\(795\) | −6.32209 | + | 2.94323i | −0.224221 | + | 0.104385i | ||||
\(796\) | 24.3856 | − | 33.5787i | 0.864326 | − | 1.19017i | ||||
\(797\) | −9.43393 | − | 47.4276i | −0.334167 | − | 1.67997i | −0.673407 | − | 0.739272i | \(-0.735170\pi\) |
0.339240 | − | 0.940700i | \(-0.389830\pi\) | |||||||
\(798\) | −6.76485 | + | 3.82272i | −0.239473 | + | 0.135323i | ||||
\(799\) | −30.0014 | −1.06137 | ||||||||
\(800\) | −15.5974 | + | 10.4336i | −0.551451 | + | 0.368884i | ||||
\(801\) | 32.3422 | + | 10.2419i | 1.14275 | + | 0.361881i | ||||
\(802\) | 21.5992 | + | 27.3926i | 0.762695 | + | 0.967266i | ||||
\(803\) | −8.61650 | + | 1.71393i | −0.304070 | + | 0.0604832i | ||||
\(804\) | −43.2946 | + | 0.170874i | −1.52688 | + | 0.00602627i | ||||
\(805\) | 12.9074 | + | 19.3173i | 0.454925 | + | 0.680844i | ||||
\(806\) | −6.64880 | − | 5.67741i | −0.234194 | − | 0.199978i | ||||
\(807\) | −22.5810 | + | 37.1600i | −0.794890 | + | 1.30809i | ||||
\(808\) | 46.0064 | − | 11.0604i | 1.61850 | − | 0.389104i | ||||
\(809\) | −20.3048 | + | 8.41051i | −0.713878 | + | 0.295698i | −0.709908 | − | 0.704294i | \(-0.751264\pi\) |
−0.00396971 | + | 0.999992i | \(0.501264\pi\) | |||||||
\(810\) | 9.90470 | + | 13.2097i | 0.348016 | + | 0.464143i | ||||
\(811\) | 10.6456 | + | 2.11755i | 0.373819 | + | 0.0743572i | 0.378424 | − | 0.925632i | \(-0.376466\pi\) |
−0.00460559 | + | 0.999989i | \(0.501466\pi\) | |||||||
\(812\) | 5.65829 | + | 2.60707i | 0.198567 | + | 0.0914904i | ||||
\(813\) | 4.15240 | − | 4.52586i | 0.145631 | − | 0.158729i | ||||
\(814\) | 2.41481 | + | 8.55884i | 0.0846390 | + | 0.299987i | ||||
\(815\) | −11.1983 | + | 11.1983i | −0.392260 | + | 0.392260i | ||||
\(816\) | −14.4104 | − | 38.5669i | −0.504466 | − | 1.35011i | ||||
\(817\) | −8.89061 | − | 8.89061i | −0.311043 | − | 0.311043i | ||||
\(818\) | −19.6927 | + | 35.1724i | −0.688538 | + | 1.22977i | ||||
\(819\) | −15.6257 | + | 12.5089i | −0.546008 | + | 0.437096i | ||||
\(820\) | −1.15543 | − | 1.24942i | −0.0403495 | − | 0.0436315i | ||||
\(821\) | 8.77241 | − | 44.1019i | 0.306159 | − | 1.53917i | −0.454935 | − | 0.890524i | \(-0.650338\pi\) |
0.761094 | − | 0.648641i | \(-0.224662\pi\) | |||||||
\(822\) | −10.4917 | − | 31.8729i | −0.365940 | − | 1.11169i | ||||
\(823\) | 1.14321 | + | 2.75996i | 0.0398499 | + | 0.0962062i | 0.942551 | − | 0.334061i | \(-0.108419\pi\) |
−0.902701 | + | 0.430267i | \(0.858419\pi\) | |||||||
\(824\) | 8.02967 | + | 7.41789i | 0.279727 | + | 0.258415i | ||||
\(825\) | −2.94488 | + | 4.84618i | −0.102528 | + | 0.168722i | ||||
\(826\) | −1.60984 | − | 20.4277i | −0.0560134 | − | 0.710770i | ||||
\(827\) | −32.6221 | + | 21.7974i | −1.13438 | + | 0.757971i | −0.973429 | − | 0.228991i | \(-0.926457\pi\) |
−0.160955 | + | 0.986962i | \(0.551457\pi\) | |||||||
\(828\) | 12.9160 | + | 52.0341i | 0.448862 | + | 1.80831i | ||||
\(829\) | −1.57093 | − | 7.89760i | −0.0545607 | − | 0.274295i | 0.943869 | − | 0.330321i | \(-0.107157\pi\) |
−0.998429 | + | 0.0560260i | \(0.982157\pi\) | |||||||
\(830\) | 28.3227 | + | 3.34921i | 0.983094 | + | 0.116253i | ||||
\(831\) | −2.71998 | + | 17.5988i | −0.0943551 | + | 0.610496i | ||||
\(832\) | 7.24451 | + | 25.6256i | 0.251158 | + | 0.888409i | ||||
\(833\) | 17.7242i | 0.614108i | ||||||||
\(834\) | 0.619372 | − | 2.22887i | 0.0214471 | − | 0.0771796i | ||||
\(835\) | −18.7683 | + | 3.73324i | −0.649503 | + | 0.129194i | ||||
\(836\) | 1.63286 | + | 2.66333i | 0.0564736 | + | 0.0921134i | ||||
\(837\) | −9.57017 | + | 1.24168i | −0.330793 | + | 0.0429186i | ||||
\(838\) | −6.12154 | + | 0.482419i | −0.211465 | + | 0.0166649i | ||||
\(839\) | −28.7150 | − | 11.8941i | −0.991351 | − | 0.410631i | −0.172732 | − | 0.984969i | \(-0.555260\pi\) |
−0.818618 | + | 0.574338i | \(0.805260\pi\) | |||||||
\(840\) | 12.6552 | + | 1.44588i | 0.436645 | + | 0.0498875i | ||||
\(841\) | 24.5611 | − | 10.1735i | 0.846933 | − | 0.350811i | ||||
\(842\) | 13.1711 | + | 25.8430i | 0.453905 | + | 0.890609i | ||||
\(843\) | 41.4058 | + | 15.0998i | 1.42609 | + | 0.520065i | ||||
\(844\) | 3.73444 | + | 4.03820i | 0.128545 | + | 0.139000i | ||||
\(845\) | −1.38330 | + | 2.07026i | −0.0475870 | + | 0.0712189i | ||||
\(846\) | 15.6180 | − | 14.6582i | 0.536958 | − | 0.503961i | ||||
\(847\) | 14.2096 | − | 14.2096i | 0.488247 | − | 0.488247i | ||||
\(848\) | −7.68207 | + | 9.75303i | −0.263803 | + | 0.334920i | ||||
\(849\) | 23.5419 | − | 17.2390i | 0.807957 | − | 0.591642i | ||||
\(850\) | −26.8310 | + | 7.57016i | −0.920297 | + | 0.259654i | ||||
\(851\) | 31.6294 | − | 47.3368i | 1.08424 | − | 1.62268i | ||||
\(852\) | 31.9776 | + | 21.1847i | 1.09554 | + | 0.725776i | ||||
\(853\) | −7.11679 | + | 35.7785i | −0.243674 | + | 1.22503i | 0.644168 | + | 0.764884i | \(0.277204\pi\) |
−0.887842 | + | 0.460148i | \(0.847796\pi\) | |||||||
\(854\) | 31.9824 | + | 10.3880i | 1.09441 | + | 0.355470i | ||||
\(855\) | −0.529121 | − | 6.13626i | −0.0180955 | − | 0.209856i | ||||
\(856\) | 3.55172 | − | 5.79996i | 0.121395 | − | 0.198239i | ||||
\(857\) | −9.18228 | − | 3.80342i | −0.313661 | − | 0.129923i | 0.220299 | − | 0.975432i | \(-0.429297\pi\) |
−0.533960 | + | 0.845510i | \(0.679297\pi\) | |||||||
\(858\) | 5.24986 | + | 6.09919i | 0.179227 | + | 0.208223i | ||||
\(859\) | 12.6718 | − | 8.46703i | 0.432356 | − | 0.288891i | −0.320286 | − | 0.947321i | \(-0.603779\pi\) |
0.752642 | + | 0.658430i | \(0.228779\pi\) | |||||||
\(860\) | 3.22851 | + | 20.3565i | 0.110091 | + | 0.694151i | ||||
\(861\) | −0.0979075 | − | 2.27510i | −0.00333668 | − | 0.0775351i | ||||
\(862\) | 4.01788 | − | 3.16812i | 0.136850 | − | 0.107907i | ||||
\(863\) | 4.88131i | 0.166162i | 0.996543 | + | 0.0830808i | \(0.0264760\pi\) | ||||
−0.996543 | + | 0.0830808i | \(0.973524\pi\) | |||||||
\(864\) | 26.3449 | + | 13.0363i | 0.896273 | + | 0.443503i | ||||
\(865\) | − | 11.1292i | − | 0.378405i | ||||||
\(866\) | 23.6010 | + | 29.9313i | 0.801995 | + | 1.01711i | ||||
\(867\) | −1.36381 | − | 31.6912i | −0.0463175 | − | 1.07629i | ||||
\(868\) | −4.37481 | + | 6.02406i | −0.148491 | + | 0.204470i | ||||
\(869\) | 4.90218 | − | 3.27553i | 0.166295 | − | 0.111115i | ||||
\(870\) | −3.74268 | + | 3.22150i | −0.126889 | + | 0.109219i | ||||
\(871\) | 38.4364 | + | 15.9209i | 1.30237 | + | 0.539458i | ||||
\(872\) | 27.6020 | − | 20.0672i | 0.934721 | − | 0.679562i | ||||
\(873\) | 1.03721 | + | 12.0286i | 0.0351041 | + | 0.407106i | ||||
\(874\) | 6.17822 | − | 19.0214i | 0.208981 | − | 0.643407i | ||||
\(875\) | 4.21887 | − | 21.2097i | 0.142624 | − | 0.717018i | ||||
\(876\) | 30.2187 | − | 6.13496i | 1.02100 | − | 0.207281i | ||||
\(877\) | 11.9657 | − | 17.9080i | 0.404054 | − | 0.604709i | −0.572520 | − | 0.819890i | \(-0.694034\pi\) |
0.976574 | + | 0.215181i | \(0.0690343\pi\) | |||||||
\(878\) | −7.17018 | − | 25.4134i | −0.241982 | − | 0.857660i | ||||
\(879\) | −6.06940 | + | 4.44444i | −0.204716 | + | 0.149907i | ||||
\(880\) | 0.399668 | − | 5.10552i | 0.0134728 | − | 0.172107i | ||||
\(881\) | −10.5213 | + | 10.5213i | −0.354471 | + | 0.354471i | −0.861770 | − | 0.507299i | \(-0.830644\pi\) |
0.507299 | + | 0.861770i | \(0.330644\pi\) | |||||||
\(882\) | −8.65979 | − | 9.22680i | −0.291590 | − | 0.310682i | ||||
\(883\) | 6.61033 | − | 9.89306i | 0.222455 | − | 0.332928i | −0.703408 | − | 0.710786i | \(-0.748339\pi\) |
0.925863 | + | 0.377858i | \(0.123339\pi\) | |||||||
\(884\) | −1.54496 | + | 39.5323i | −0.0519627 | + | 1.32962i | ||||
\(885\) | 15.2591 | + | 5.56467i | 0.512929 | + | 0.187054i | ||||
\(886\) | −35.8266 | + | 18.2593i | −1.20362 | + | 0.613432i | ||||
\(887\) | −17.5114 | + | 7.25345i | −0.587975 | + | 0.243547i | −0.656779 | − | 0.754083i | \(-0.728082\pi\) |
0.0688044 | + | 0.997630i | \(0.478082\pi\) | |||||||
\(888\) | −8.59414 | − | 30.0067i | −0.288400 | − | 1.00696i | ||||
\(889\) | 0.287719 | + | 0.119177i | 0.00964977 | + | 0.00399707i | ||||
\(890\) | 1.62982 | + | 20.6812i | 0.0546317 | + | 0.693237i | ||||
\(891\) | 8.88003 | + | 0.215987i | 0.297492 | + | 0.00723583i | ||||
\(892\) | 28.0247 | + | 6.72195i | 0.938337 | + | 0.225068i | ||||
\(893\) | −7.83660 | + | 1.55880i | −0.262242 | + | 0.0521632i | ||||
\(894\) | 31.1236 | + | 8.64881i | 1.04093 | + | 0.289259i | ||||
\(895\) | 8.96325i | 0.299608i | ||||||||
\(896\) | 21.2692 | − | 7.86430i | 0.710555 | − | 0.262728i | ||||
\(897\) | 7.86899 | − | 50.9139i | 0.262738 | − | 1.69996i | ||||
\(898\) | 4.83124 | − | 40.8555i | 0.161221 | − | 1.36337i | ||||
\(899\) | −0.563099 | − | 2.83089i | −0.0187804 | − | 0.0944154i | ||||
\(900\) | 10.2689 | − | 17.0501i | 0.342297 | − | 0.568337i | ||||
\(901\) | −15.3359 | + | 10.2472i | −0.510915 | + | 0.341382i | ||||
\(902\) | −0.912724 | + | 0.0719288i | −0.0303904 | + | 0.00239497i | ||||
\(903\) | −14.3225 | + | 23.5696i | −0.476624 | + | 0.784346i | ||||
\(904\) | −51.4788 | + | 23.7516i | −1.71216 | + | 0.789967i | ||||
\(905\) | 10.3282 | + | 24.9345i | 0.343322 | + | 0.828851i | ||||
\(906\) | 8.88532 | − | 2.92481i | 0.295195 | − | 0.0971702i | ||||
\(907\) | 1.64264 | − | 8.25812i | 0.0545430 | − | 0.274206i | −0.943884 | − | 0.330278i | \(-0.892858\pi\) |
0.998427 | + | 0.0560716i | \(0.0178575\pi\) | |||||||
\(908\) | −9.89267 | − | 0.386616i | −0.328300 | − | 0.0128303i | ||||
\(909\) | −39.1797 | + | 31.3646i | −1.29951 | + | 1.04030i | ||||
\(910\) | −10.6798 | − | 5.97952i | −0.354032 | − | 0.198219i | ||||
\(911\) | −14.3917 | − | 14.3917i | −0.476820 | − | 0.476820i | 0.427293 | − | 0.904113i | \(-0.359467\pi\) |
−0.904113 | + | 0.427293i | \(0.859467\pi\) | |||||||
\(912\) | −5.76796 | − | 9.32525i | −0.190996 | − | 0.308790i | ||||
\(913\) | 10.8496 | − | 10.8496i | 0.359070 | − | 0.359070i | ||||
\(914\) | −41.3052 | + | 11.6539i | −1.36625 | + | 0.385478i | ||||
\(915\) | −18.0197 | + | 19.6404i | −0.595713 | + | 0.649291i | ||||
\(916\) | 3.27238 | + | 8.86449i | 0.108123 | + | 0.292891i | ||||
\(917\) | −34.2194 | − | 6.80667i | −1.13002 | − | 0.224776i | ||||
\(918\) | 31.2259 | + | 30.5269i | 1.03061 | + | 1.00754i | ||||
\(919\) | 16.1957 | − | 6.70847i | 0.534246 | − | 0.221292i | −0.0992157 | − | 0.995066i | \(-0.531633\pi\) |
0.633462 | + | 0.773774i | \(0.281633\pi\) | |||||||
\(920\) | −26.5173 | + | 19.2787i | −0.874251 | + | 0.635599i | ||||
\(921\) | 3.11276 | − | 5.12245i | 0.102569 | − | 0.168790i | ||||
\(922\) | −11.6705 | + | 13.6672i | −0.384346 | + | 0.450106i | ||||
\(923\) | −20.4781 | − | 30.6476i | −0.674044 | − | 1.00878i | ||||
\(924\) | 4.82645 | − | 4.86470i | 0.158779 | − | 0.160037i | ||||
\(925\) | −20.7295 | + | 4.12335i | −0.681580 | + | 0.135575i | ||||
\(926\) | −2.19236 | + | 1.72869i | −0.0720455 | + | 0.0568083i | ||||
\(927\) | −11.0537 | − | 3.50044i | −0.363053 | − | 0.114969i | ||||
\(928\) | −3.36011 | + | 8.12401i | −0.110301 | + | 0.266684i | ||||
\(929\) | 10.1436 | 0.332802 | 0.166401 | − | 0.986058i | \(-0.446785\pi\) | ||||
0.166401 | + | 0.986058i | \(0.446785\pi\) | |||||||
\(930\) | −2.90324 | − | 5.13770i | −0.0952010 | − | 0.168472i | ||||
\(931\) | 0.920906 | + | 4.62971i | 0.0301815 | + | 0.151732i | ||||
\(932\) | 9.04125 | − | 1.43393i | 0.296156 | − | 0.0469699i | ||||
\(933\) | 29.8204 | − | 13.8828i | 0.976275 | − | 0.454501i | ||||
\(934\) | 5.24738 | − | 6.14519i | 0.171700 | − | 0.201077i | ||||
\(935\) | 2.91151 | − | 7.02901i | 0.0952166 | − | 0.229873i | ||||
\(936\) | −18.5106 | − | 21.3344i | −0.605039 | − | 0.697337i | ||||
\(937\) | 17.5554 | + | 42.3824i | 0.573508 | + | 1.38457i | 0.898550 | + | 0.438872i | \(0.144622\pi\) |
−0.325041 | + | 0.945700i | \(0.605378\pi\) | |||||||
\(938\) | 10.9440 | − | 33.6942i | 0.357335 | − | 1.10015i | ||||
\(939\) | −21.7290 | − | 7.92408i | −0.709098 | − | 0.258593i | ||||
\(940\) | 11.8960 | + | 5.48112i | 0.388005 | + | 0.178774i | ||||
\(941\) | 6.87719 | + | 4.59519i | 0.224190 | + | 0.149799i | 0.662593 | − | 0.748979i | \(-0.269456\pi\) |
−0.438403 | + | 0.898778i | \(0.644456\pi\) | |||||||
\(942\) | −5.84911 | + | 0.715088i | −0.190574 | + | 0.0232988i | ||||
\(943\) | 4.14452 | + | 4.14452i | 0.134964 | + | 0.134964i | ||||
\(944\) | 28.7140 | − | 3.41068i | 0.934560 | − | 0.111008i | ||||
\(945\) | −12.8013 | + | 4.31869i | −0.416426 | + | 0.140487i | ||||
\(946\) | 9.67534 | + | 5.41712i | 0.314572 | + | 0.176126i | ||||
\(947\) | −22.1380 | − | 14.7922i | −0.719389 | − | 0.480680i | 0.141200 | − | 0.989981i | \(-0.454904\pi\) |
−0.860589 | + | 0.509301i | \(0.829904\pi\) | |||||||
\(948\) | −17.1605 | + | 11.5645i | −0.557346 | + | 0.375597i | ||||
\(949\) | −29.0610 | − | 5.78060i | −0.943362 | − | 0.187646i | ||||
\(950\) | −6.61515 | + | 3.37146i | −0.214624 | + | 0.109385i | ||||
\(951\) | 24.9580 | − | 6.09065i | 0.809319 | − | 0.197503i | ||||
\(952\) | 33.6628 | − | 1.33317i | 1.09102 | − | 0.0432084i | ||||
\(953\) | 9.52957 | − | 23.0064i | 0.308693 | − | 0.745251i | −0.691055 | − | 0.722802i | \(-0.742854\pi\) |
0.999748 | − | 0.0224487i | \(-0.00714623\pi\) | |||||||
\(954\) | 2.97692 | − | 12.8273i | 0.0963812 | − | 0.415301i | ||||
\(955\) | 11.1430 | + | 16.6766i | 0.360578 | + | 0.539642i | ||||
\(956\) | 35.4902 | − | 21.7586i | 1.14784 | − | 0.703724i | ||||
\(957\) | 0.114225 | + | 2.65427i | 0.00369237 | + | 0.0858005i | ||||
\(958\) | 0.822430 | − | 6.95490i | 0.0265715 | − | 0.224702i | ||||
\(959\) | 27.4573 | 0.886642 | ||||||||
\(960\) | −1.33204 | + | 17.9251i | −0.0429915 | + | 0.578529i | ||||
\(961\) | −27.5507 | −0.888734 | ||||||||
\(962\) | −3.52225 | + | 29.7860i | −0.113562 | + | 0.960340i | ||||
\(963\) | −0.794290 | + | 7.16974i | −0.0255956 | + | 0.231042i | ||||
\(964\) | 15.0667 | + | 24.5750i | 0.485265 | + | 0.791509i | ||||
\(965\) | 3.20381 | + | 4.79485i | 0.103134 | + | 0.154352i | ||||
\(966\) | −43.7478 | − | 3.27394i | −1.40756 | − | 0.105337i | ||||
\(967\) | 6.44006 | − | 15.5477i | 0.207098 | − | 0.499980i | −0.785865 | − | 0.618397i | \(-0.787782\pi\) |
0.992964 | + | 0.118418i | \(0.0377822\pi\) | |||||||
\(968\) | 20.8296 | + | 19.2426i | 0.669489 | + | 0.618481i | ||||
\(969\) | −3.86198 | − | 15.8255i | −0.124065 | − | 0.508388i | ||||
\(970\) | −6.57779 | + | 3.35242i | −0.211200 | + | 0.107640i | ||||
\(971\) | 28.6135 | + | 5.69159i | 0.918252 | + | 0.182652i | 0.631521 | − | 0.775359i | \(-0.282431\pi\) |
0.286732 | + | 0.958011i | \(0.407431\pi\) | |||||||
\(972\) | −31.1704 | − | 0.635066i | −0.999793 | − | 0.0203698i | ||||
\(973\) | 1.57391 | + | 1.05166i | 0.0504574 | + | 0.0337146i | ||||
\(974\) | −41.3277 | − | 23.1389i | −1.32422 | − | 0.741420i | ||||
\(975\) | −15.4311 | + | 11.2997i | −0.494191 | + | 0.361881i | ||||
\(976\) | −12.8615 | + | 45.6766i | −0.411688 | + | 1.46207i | ||||
\(977\) | 0.0787675 | + | 0.0787675i | 0.00252000 | + | 0.00252000i | 0.708366 | − | 0.705846i | \(-0.249433\pi\) |
−0.705846 | + | 0.708366i | \(0.749433\pi\) | |||||||
\(978\) | −3.62899 | − | 29.6836i | −0.116042 | − | 0.949175i | ||||
\(979\) | 9.27998 | + | 6.20068i | 0.296589 | + | 0.198175i | ||||
\(980\) | 3.23813 | − | 7.02791i | 0.103438 | − | 0.224498i | ||||
\(981\) | −17.4494 | + | 31.7120i | −0.557117 | + | 1.01249i | ||||
\(982\) | 9.73574 | − | 29.9742i | 0.310680 | − | 0.956514i | ||||
\(983\) | −5.37333 | − | 12.9724i | −0.171383 | − | 0.413754i | 0.814728 | − | 0.579843i | \(-0.196886\pi\) |
−0.986111 | + | 0.166089i | \(0.946886\pi\) | |||||||
\(984\) | 3.20251 | − | 0.265102i | 0.102092 | − | 0.00845114i | ||||
\(985\) | −1.18559 | + | 2.86228i | −0.0377762 | + | 0.0911997i | ||||
\(986\) | −8.48135 | + | 9.93249i | −0.270101 | + | 0.316315i | ||||
\(987\) | 7.39721 | + | 15.8893i | 0.235456 | + | 0.505762i | ||||
\(988\) | 1.65044 | + | 10.4064i | 0.0525076 | + | 0.331073i | ||||
\(989\) | −13.8490 | − | 69.6235i | −0.440372 | − | 2.21390i | ||||
\(990\) | 1.91861 | + | 5.08166i | 0.0609774 | + | 0.161506i | ||||
\(991\) | 47.6831 | 1.51471 | 0.757353 | − | 0.653006i | \(-0.226492\pi\) | ||||
0.757353 | + | 0.653006i | \(0.226492\pi\) | |||||||
\(992\) | −8.73847 | − | 5.83226i | −0.277447 | − | 0.185175i | ||||
\(993\) | 8.11140 | − | 52.4823i | 0.257407 | − | 1.66548i | ||||
\(994\) | −24.6471 | + | 19.4344i | −0.781759 | + | 0.616421i | ||||
\(995\) | −26.3992 | + | 5.25112i | −0.836910 | + | 0.166472i | ||||
\(996\) | −37.9301 | + | 38.2307i | −1.20186 | + | 1.21138i | ||||
\(997\) | 20.2564 | + | 30.3158i | 0.641525 | + | 0.960110i | 0.999650 | + | 0.0264367i | \(0.00841606\pi\) |
−0.358125 | + | 0.933674i | \(0.616584\pi\) | |||||||
\(998\) | 14.0827 | − | 16.4923i | 0.445782 | − | 0.522054i | ||||
\(999\) | 21.7819 | + | 24.9317i | 0.689149 | + | 0.788805i |
(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 | 192.2.s.a.107.1 | ✓ | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.107.30 | yes | 240 | |
4.3 | odd | 2 | 768.2.s.a.335.30 | 240 | |||
12.11 | even | 2 | 768.2.s.a.335.27 | 240 | |||
64.3 | odd | 16 | inner | 192.2.s.a.131.30 | yes | 240 | |
64.61 | even | 16 | 768.2.s.a.431.27 | 240 | |||
192.125 | odd | 16 | 768.2.s.a.431.30 | 240 | |||
192.131 | even | 16 | inner | 192.2.s.a.131.1 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.107.1 | ✓ | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.107.30 | yes | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.131.1 | yes | 240 | 192.131 | even | 16 | inner | |
192.2.s.a.131.30 | yes | 240 | 64.3 | odd | 16 | inner | |
768.2.s.a.335.27 | 240 | 12.11 | even | 2 | |||
768.2.s.a.335.30 | 240 | 4.3 | odd | 2 | |||
768.2.s.a.431.27 | 240 | 64.61 | even | 16 | |||
768.2.s.a.431.30 | 240 | 192.125 | odd | 16 |