Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(11,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.q (of order \(15\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.14 | ||
Character | \(\chi\) | \(=\) | 175.11 |
Dual form | 175.2.q.a.16.14 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37473 | + | 0.612069i | 0.972080 | + | 0.432798i | 0.830433 | − | 0.557119i | \(-0.188093\pi\) |
0.141648 | + | 0.989917i | \(0.454760\pi\) | |||||||
\(3\) | 2.04628 | + | 2.27262i | 1.18142 | + | 1.31210i | 0.939798 | + | 0.341730i | \(0.111013\pi\) |
0.241623 | + | 0.970370i | \(0.422320\pi\) | |||||||
\(4\) | 0.176990 | + | 0.196568i | 0.0884952 | + | 0.0982839i | ||||
\(5\) | −2.23021 | + | 0.161703i | −0.997382 | + | 0.0723156i | ||||
\(6\) | 1.42208 | + | 4.37671i | 0.580561 | + | 1.78678i | ||||
\(7\) | 0.781664 | − | 2.52765i | 0.295441 | − | 0.955361i | ||||
\(8\) | −0.807034 | − | 2.48380i | −0.285330 | − | 0.878154i | ||||
\(9\) | −0.663974 | + | 6.31729i | −0.221325 | + | 2.10576i | ||||
\(10\) | −3.16491 | − | 1.14275i | −1.00083 | − | 0.361368i | ||||
\(11\) | −0.173826 | − | 1.65384i | −0.0524104 | − | 0.498651i | −0.988967 | − | 0.148135i | \(-0.952673\pi\) |
0.936557 | − | 0.350516i | \(-0.113994\pi\) | |||||||
\(12\) | −0.0845528 | + | 0.804466i | −0.0244083 | + | 0.232229i | ||||
\(13\) | 2.02688 | + | 1.47261i | 0.562155 | + | 0.408429i | 0.832247 | − | 0.554405i | \(-0.187054\pi\) |
−0.270092 | + | 0.962834i | \(0.587054\pi\) | |||||||
\(14\) | 2.62167 | − | 2.99640i | 0.700671 | − | 0.800821i | ||||
\(15\) | −4.93113 | − | 4.73755i | −1.27321 | − | 1.22323i | ||||
\(16\) | 0.466098 | − | 4.43462i | 0.116524 | − | 1.10866i | ||||
\(17\) | −1.90980 | − | 0.405941i | −0.463195 | − | 0.0984551i | −0.0295977 | − | 0.999562i | \(-0.509423\pi\) |
−0.433597 | + | 0.901107i | \(0.642756\pi\) | |||||||
\(18\) | −4.77940 | + | 8.27817i | −1.12652 | + | 1.95118i | ||||
\(19\) | −3.04406 | + | 3.38077i | −0.698356 | + | 0.775603i | −0.983114 | − | 0.182997i | \(-0.941420\pi\) |
0.284758 | + | 0.958600i | \(0.408087\pi\) | |||||||
\(20\) | −0.426512 | − | 0.409768i | −0.0953710 | − | 0.0916270i | ||||
\(21\) | 7.34390 | − | 3.39585i | 1.60257 | − | 0.741034i | ||||
\(22\) | 0.773301 | − | 2.37997i | 0.164868 | − | 0.507412i | ||||
\(23\) | −4.39757 | − | 1.95792i | −0.916957 | − | 0.408255i | −0.106674 | − | 0.994294i | \(-0.534020\pi\) |
−0.810283 | + | 0.586039i | \(0.800687\pi\) | |||||||
\(24\) | 3.99332 | − | 6.91663i | 0.815133 | − | 1.41185i | ||||
\(25\) | 4.94770 | − | 0.721262i | 0.989541 | − | 0.144252i | ||||
\(26\) | 1.88507 | + | 3.26503i | 0.369692 | + | 0.640326i | ||||
\(27\) | −8.29330 | + | 6.02544i | −1.59605 | + | 1.15960i | ||||
\(28\) | 0.635201 | − | 0.293719i | 0.120042 | − | 0.0555077i | ||||
\(29\) | 0.834262 | − | 2.56759i | 0.154919 | − | 0.476790i | −0.843234 | − | 0.537547i | \(-0.819351\pi\) |
0.998153 | + | 0.0607562i | \(0.0193512\pi\) | |||||||
\(30\) | −3.87926 | − | 9.53104i | −0.708253 | − | 1.74012i | ||||
\(31\) | 8.67545 | + | 1.84402i | 1.55816 | + | 0.331197i | 0.904795 | − | 0.425848i | \(-0.140024\pi\) |
0.653363 | + | 0.757045i | \(0.273358\pi\) | |||||||
\(32\) | 0.743436 | − | 1.28767i | 0.131422 | − | 0.227630i | ||||
\(33\) | 3.40286 | − | 3.77926i | 0.592362 | − | 0.657885i | ||||
\(34\) | −2.37700 | − | 1.72699i | −0.407651 | − | 0.296176i | ||||
\(35\) | −1.33455 | + | 5.76359i | −0.225580 | + | 0.974225i | ||||
\(36\) | −1.35929 | + | 0.987584i | −0.226549 | + | 0.164597i | ||||
\(37\) | −1.03237 | + | 9.82235i | −0.169721 | + | 1.61478i | 0.495822 | + | 0.868424i | \(0.334867\pi\) |
−0.665543 | + | 0.746360i | \(0.731800\pi\) | |||||||
\(38\) | −6.25403 | + | 2.78447i | −1.01454 | + | 0.451701i | ||||
\(39\) | 0.800864 | + | 7.61971i | 0.128241 | + | 1.22013i | ||||
\(40\) | 2.20149 | + | 5.40890i | 0.348087 | + | 0.855221i | ||||
\(41\) | −2.14571 | − | 1.55895i | −0.335103 | − | 0.243467i | 0.407490 | − | 0.913210i | \(-0.366404\pi\) |
−0.742593 | + | 0.669743i | \(0.766404\pi\) | |||||||
\(42\) | 12.1744 | − | 0.173397i | 1.87854 | − | 0.0267557i | ||||
\(43\) | −5.04923 | −0.770000 | −0.385000 | − | 0.922916i | \(-0.625799\pi\) | ||||
−0.385000 | + | 0.922916i | \(0.625799\pi\) | |||||||
\(44\) | 0.294326 | − | 0.326882i | 0.0443713 | − | 0.0492794i | ||||
\(45\) | 0.459282 | − | 14.1963i | 0.0684657 | − | 2.11626i | ||||
\(46\) | −4.84708 | − | 5.38323i | −0.714663 | − | 0.793714i | ||||
\(47\) | 10.7868 | − | 2.29281i | 1.57342 | − | 0.334441i | 0.663159 | − | 0.748478i | \(-0.269215\pi\) |
0.910260 | + | 0.414038i | \(0.135882\pi\) | |||||||
\(48\) | 11.0320 | − | 8.01522i | 1.59233 | − | 1.15690i | ||||
\(49\) | −5.77800 | − | 3.95154i | −0.825429 | − | 0.564506i | ||||
\(50\) | 7.24322 | + | 2.03680i | 1.02435 | + | 0.288046i | ||||
\(51\) | −2.98544 | − | 5.17093i | −0.418045 | − | 0.724075i | ||||
\(52\) | 0.0692697 | + | 0.659057i | 0.00960598 | + | 0.0913948i | ||||
\(53\) | −3.66706 | − | 4.07269i | −0.503710 | − | 0.559426i | 0.436640 | − | 0.899636i | \(-0.356168\pi\) |
−0.940349 | + | 0.340210i | \(0.889502\pi\) | |||||||
\(54\) | −15.0890 | + | 3.20727i | −2.05336 | + | 0.436454i | ||||
\(55\) | 0.655098 | + | 3.66031i | 0.0883334 | + | 0.493556i | ||||
\(56\) | −6.90899 | + | 0.0984032i | −0.923253 | + | 0.0131497i | ||||
\(57\) | −13.9122 | −1.84272 | ||||||||
\(58\) | 2.71843 | − | 3.01912i | 0.356947 | − | 0.396430i | ||||
\(59\) | −10.5881 | + | 4.71414i | −1.37846 | + | 0.613729i | −0.956191 | − | 0.292743i | \(-0.905432\pi\) |
−0.422266 | + | 0.906472i | \(0.638765\pi\) | |||||||
\(60\) | 0.0584865 | − | 1.80780i | 0.00755058 | − | 0.233386i | ||||
\(61\) | −1.99410 | − | 0.887833i | −0.255319 | − | 0.113675i | 0.275086 | − | 0.961420i | \(-0.411294\pi\) |
−0.530405 | + | 0.847744i | \(0.677960\pi\) | |||||||
\(62\) | 10.7977 | + | 7.84501i | 1.37131 | + | 0.996317i | ||||
\(63\) | 15.4489 | + | 6.61629i | 1.94638 | + | 0.833575i | ||||
\(64\) | −5.40473 | + | 3.92677i | −0.675591 | + | 0.490846i | ||||
\(65\) | −4.75850 | − | 2.95649i | −0.590219 | − | 0.366707i | ||||
\(66\) | 6.99118 | − | 3.11267i | 0.860555 | − | 0.383144i | ||||
\(67\) | −5.11084 | − | 1.08634i | −0.624388 | − | 0.132718i | −0.115157 | − | 0.993347i | \(-0.536737\pi\) |
−0.509232 | + | 0.860629i | \(0.670070\pi\) | |||||||
\(68\) | −0.258222 | − | 0.447253i | −0.0313140 | − | 0.0542374i | ||||
\(69\) | −4.54903 | − | 14.0005i | −0.547639 | − | 1.68546i | ||||
\(70\) | −5.36236 | + | 7.10654i | −0.640925 | + | 0.849394i | ||||
\(71\) | 0.553049 | − | 1.70211i | 0.0656348 | − | 0.202003i | −0.912861 | − | 0.408271i | \(-0.866132\pi\) |
0.978496 | + | 0.206268i | \(0.0661318\pi\) | |||||||
\(72\) | 16.2267 | − | 3.44909i | 1.91234 | − | 0.406480i | ||||
\(73\) | 0.408116 | + | 3.88296i | 0.0477663 | + | 0.454466i | 0.992097 | + | 0.125470i | \(0.0400438\pi\) |
−0.944331 | + | 0.328997i | \(0.893290\pi\) | |||||||
\(74\) | −7.43118 | + | 12.8712i | −0.863857 | + | 1.49624i | ||||
\(75\) | 11.7636 | + | 9.76837i | 1.35834 | + | 1.12795i | ||||
\(76\) | −1.20332 | −0.138030 | ||||||||
\(77\) | −4.31620 | − | 0.853378i | −0.491876 | − | 0.0972514i | ||||
\(78\) | −3.56282 | + | 10.9652i | −0.403410 | + | 1.24157i | ||||
\(79\) | 6.20527 | − | 1.31897i | 0.698148 | − | 0.148396i | 0.154853 | − | 0.987938i | \(-0.450510\pi\) |
0.543295 | + | 0.839542i | \(0.317176\pi\) | |||||||
\(80\) | −0.322408 | + | 9.96553i | −0.0360463 | + | 1.11418i | ||||
\(81\) | −12.0241 | − | 2.55581i | −1.33602 | − | 0.283979i | ||||
\(82\) | −1.99558 | − | 3.45645i | −0.220375 | − | 0.381701i | ||||
\(83\) | −0.0720813 | − | 0.221843i | −0.00791195 | − | 0.0243505i | 0.947023 | − | 0.321167i | \(-0.104075\pi\) |
−0.954935 | + | 0.296816i | \(0.904075\pi\) | |||||||
\(84\) | 1.96731 | + | 0.842542i | 0.214652 | + | 0.0919288i | ||||
\(85\) | 4.32491 | + | 0.596515i | 0.469102 | + | 0.0647011i | ||||
\(86\) | −6.94132 | − | 3.09048i | −0.748502 | − | 0.333255i | ||||
\(87\) | 7.54231 | − | 3.35805i | 0.808621 | − | 0.360021i | ||||
\(88\) | −3.96752 | + | 1.76645i | −0.422939 | + | 0.188304i | ||||
\(89\) | 8.49075 | + | 3.78032i | 0.900017 | + | 0.400714i | 0.803975 | − | 0.594664i | \(-0.202715\pi\) |
0.0960428 | + | 0.995377i | \(0.469381\pi\) | |||||||
\(90\) | 9.32049 | − | 19.2349i | 0.982465 | − | 2.02754i | ||||
\(91\) | 5.30658 | − | 3.97214i | 0.556281 | − | 0.416394i | ||||
\(92\) | −0.393463 | − | 1.21095i | −0.0410213 | − | 0.126251i | ||||
\(93\) | 13.5616 | + | 23.4894i | 1.40628 | + | 2.43574i | ||||
\(94\) | 16.2323 | + | 3.45028i | 1.67423 | + | 0.355870i | ||||
\(95\) | 6.24223 | − | 8.03208i | 0.640439 | − | 0.824074i | ||||
\(96\) | 4.44767 | − | 0.945381i | 0.453938 | − | 0.0964875i | ||||
\(97\) | −2.71325 | + | 8.35052i | −0.275489 | + | 0.847867i | 0.713601 | + | 0.700552i | \(0.247063\pi\) |
−0.989090 | + | 0.147315i | \(0.952937\pi\) | |||||||
\(98\) | −5.52457 | − | 8.96884i | −0.558066 | − | 0.905989i | ||||
\(99\) | 10.5632 | 1.06164 | ||||||||
\(100\) | 1.01747 | + | 0.844903i | 0.101747 | + | 0.0844903i | ||||
\(101\) | 0.206720 | − | 0.358050i | 0.0205694 | − | 0.0356273i | −0.855557 | − | 0.517708i | \(-0.826785\pi\) |
0.876127 | + | 0.482081i | \(0.160119\pi\) | |||||||
\(102\) | −0.939203 | − | 8.93592i | −0.0929950 | − | 0.884788i | ||||
\(103\) | −4.57190 | + | 0.971787i | −0.450482 | + | 0.0957530i | −0.427566 | − | 0.903984i | \(-0.640629\pi\) |
−0.0229170 | + | 0.999737i | \(0.507295\pi\) | |||||||
\(104\) | 2.02191 | − | 6.22280i | 0.198265 | − | 0.610196i | ||||
\(105\) | −15.8293 | + | 8.76099i | −1.54479 | + | 0.854985i | ||||
\(106\) | −2.54845 | − | 7.84333i | −0.247528 | − | 0.761812i | ||||
\(107\) | 3.50214 | + | 6.06588i | 0.338564 | + | 0.586411i | 0.984163 | − | 0.177266i | \(-0.0567254\pi\) |
−0.645599 | + | 0.763677i | \(0.723392\pi\) | |||||||
\(108\) | −2.65224 | − | 0.563751i | −0.255212 | − | 0.0542470i | ||||
\(109\) | 15.2353 | − | 6.78321i | 1.45928 | − | 0.649713i | 0.484890 | − | 0.874575i | \(-0.338860\pi\) |
0.974391 | + | 0.224862i | \(0.0721931\pi\) | |||||||
\(110\) | −1.33978 | + | 5.43290i | −0.127743 | + | 0.518006i | ||||
\(111\) | −24.4350 | + | 17.7531i | −2.31927 | + | 1.68505i | ||||
\(112\) | −10.8448 | − | 4.64452i | −1.02474 | − | 0.438866i | ||||
\(113\) | −0.762152 | − | 0.553736i | −0.0716973 | − | 0.0520911i | 0.551359 | − | 0.834268i | \(-0.314109\pi\) |
−0.623057 | + | 0.782177i | \(0.714109\pi\) | |||||||
\(114\) | −19.1256 | − | 8.51525i | −1.79127 | − | 0.797526i | ||||
\(115\) | 10.1241 | + | 3.65549i | 0.944079 | + | 0.340876i | ||||
\(116\) | 0.652363 | − | 0.290451i | 0.0605704 | − | 0.0269677i | ||||
\(117\) | −10.6487 | + | 11.8266i | −0.984475 | + | 1.09337i | ||||
\(118\) | −17.4412 | −1.60559 | ||||||||
\(119\) | −2.51890 | + | 4.51000i | −0.230907 | + | 0.413431i | ||||
\(120\) | −7.78751 | + | 16.0713i | −0.710900 | + | 1.46710i | ||||
\(121\) | 8.05465 | − | 1.71207i | 0.732241 | − | 0.155643i | ||||
\(122\) | −2.19794 | − | 2.44106i | −0.198992 | − | 0.221003i | ||||
\(123\) | −0.847817 | − | 8.06644i | −0.0764451 | − | 0.727326i | ||||
\(124\) | 1.17300 | + | 2.03169i | 0.105338 | + | 0.182451i | ||||
\(125\) | −10.9178 | + | 2.40863i | −0.976518 | + | 0.215434i | ||||
\(126\) | 17.1884 | + | 18.5514i | 1.53126 | + | 1.65269i | ||||
\(127\) | 15.7162 | − | 11.4185i | 1.39459 | − | 1.01323i | 0.399242 | − | 0.916845i | \(-0.369273\pi\) |
0.995344 | − | 0.0963813i | \(-0.0307268\pi\) | |||||||
\(128\) | −12.7423 | + | 2.70845i | −1.12627 | + | 0.239395i | ||||
\(129\) | −10.3321 | − | 11.4750i | −0.909694 | − | 1.01032i | ||||
\(130\) | −4.73207 | − | 6.97690i | −0.415030 | − | 0.611915i | ||||
\(131\) | −2.98047 | + | 3.31015i | −0.260405 | + | 0.289209i | −0.859143 | − | 0.511736i | \(-0.829002\pi\) |
0.598738 | + | 0.800945i | \(0.295669\pi\) | |||||||
\(132\) | 1.34515 | 0.117081 | ||||||||
\(133\) | 6.16597 | + | 10.3369i | 0.534657 | + | 0.896327i | ||||
\(134\) | −6.36110 | − | 4.62161i | −0.549516 | − | 0.399246i | ||||
\(135\) | 17.5215 | − | 14.7791i | 1.50801 | − | 1.27198i | ||||
\(136\) | 0.533001 | + | 5.07117i | 0.0457045 | + | 0.434849i | ||||
\(137\) | −2.03454 | + | 0.905835i | −0.173822 | + | 0.0773907i | −0.491803 | − | 0.870707i | \(-0.663662\pi\) |
0.317981 | + | 0.948097i | \(0.396995\pi\) | |||||||
\(138\) | 2.31557 | − | 22.0312i | 0.197115 | − | 1.87542i | ||||
\(139\) | 14.2516 | − | 10.3544i | 1.20880 | − | 0.878245i | 0.213680 | − | 0.976904i | \(-0.431455\pi\) |
0.995121 | + | 0.0986585i | \(0.0314551\pi\) | |||||||
\(140\) | −1.36914 | + | 0.757770i | −0.115713 | + | 0.0640433i | ||||
\(141\) | 27.2835 | + | 19.8227i | 2.29769 | + | 1.66937i | ||||
\(142\) | 1.80210 | − | 2.00143i | 0.151229 | − | 0.167957i | ||||
\(143\) | 2.08314 | − | 3.60811i | 0.174201 | − | 0.301725i | ||||
\(144\) | 27.7053 | + | 5.88895i | 2.30878 | + | 0.490746i | ||||
\(145\) | −1.44540 | + | 5.86119i | −0.120034 | + | 0.486745i | ||||
\(146\) | −1.81559 | + | 5.58781i | −0.150259 | + | 0.462451i | ||||
\(147\) | −2.84304 | − | 21.2172i | −0.234490 | − | 1.74997i | ||||
\(148\) | −2.11348 | + | 1.53553i | −0.173727 | + | 0.126220i | ||||
\(149\) | −6.85631 | − | 11.8755i | −0.561691 | − | 0.972877i | −0.997349 | − | 0.0727650i | \(-0.976818\pi\) |
0.435658 | − | 0.900112i | \(-0.356516\pi\) | |||||||
\(150\) | 10.1928 | + | 20.6290i | 0.832237 | + | 1.68435i | ||||
\(151\) | 0.549666 | − | 0.952050i | 0.0447312 | − | 0.0774767i | −0.842793 | − | 0.538238i | \(-0.819090\pi\) |
0.887524 | + | 0.460761i | \(0.152424\pi\) | |||||||
\(152\) | 10.8538 | + | 4.83243i | 0.880361 | + | 0.391962i | ||||
\(153\) | 3.83251 | − | 11.7952i | 0.309840 | − | 0.953589i | ||||
\(154\) | −5.41127 | − | 3.81497i | −0.436053 | − | 0.307419i | ||||
\(155\) | −19.6463 | − | 2.70973i | −1.57803 | − | 0.217650i | ||||
\(156\) | −1.35604 | + | 1.50604i | −0.108570 | + | 0.120580i | ||||
\(157\) | −5.57792 | + | 9.66124i | −0.445167 | + | 0.771051i | −0.998064 | − | 0.0621984i | \(-0.980189\pi\) |
0.552897 | + | 0.833249i | \(0.313522\pi\) | |||||||
\(158\) | 9.33787 | + | 1.98483i | 0.742881 | + | 0.157904i | ||||
\(159\) | 1.75185 | − | 16.6677i | 0.138931 | − | 1.32184i | ||||
\(160\) | −1.44980 | + | 2.99199i | −0.114617 | + | 0.236538i | ||||
\(161\) | −8.38636 | + | 9.58506i | −0.660938 | + | 0.755409i | ||||
\(162\) | −14.9656 | − | 10.8731i | −1.17581 | − | 0.854275i | ||||
\(163\) | 0.0434300 | − | 0.413209i | 0.00340170 | − | 0.0323650i | −0.992689 | − | 0.120697i | \(-0.961487\pi\) |
0.996091 | + | 0.0883321i | \(0.0281537\pi\) | |||||||
\(164\) | −0.0733308 | − | 0.697696i | −0.00572617 | − | 0.0544809i | ||||
\(165\) | −6.97799 | + | 8.97881i | −0.543236 | + | 0.698999i | ||||
\(166\) | 0.0366912 | − | 0.349093i | 0.00284779 | − | 0.0270949i | ||||
\(167\) | 0.680400 | + | 2.09405i | 0.0526509 | + | 0.162043i | 0.973925 | − | 0.226872i | \(-0.0728500\pi\) |
−0.921274 | + | 0.388915i | \(0.872850\pi\) | |||||||
\(168\) | −14.3614 | − | 15.5002i | −1.10800 | − | 1.19586i | ||||
\(169\) | −2.07758 | − | 6.39412i | −0.159814 | − | 0.491855i | ||||
\(170\) | 5.58047 | + | 3.46719i | 0.428002 | + | 0.265921i | ||||
\(171\) | −19.3362 | − | 21.4750i | −1.47867 | − | 1.64223i | ||||
\(172\) | −0.893665 | − | 0.992516i | −0.0681413 | − | 0.0756786i | ||||
\(173\) | −6.85795 | − | 3.05336i | −0.521400 | − | 0.232142i | 0.129123 | − | 0.991629i | \(-0.458784\pi\) |
−0.650523 | + | 0.759486i | \(0.725450\pi\) | |||||||
\(174\) | 12.4240 | 0.941861 | ||||||||
\(175\) | 2.04435 | − | 13.0698i | 0.154538 | − | 0.987987i | ||||
\(176\) | −7.41518 | −0.558940 | ||||||||
\(177\) | −32.3798 | − | 14.4164i | −2.43381 | − | 1.08360i | ||||
\(178\) | 9.35866 | + | 10.3938i | 0.701461 | + | 0.779051i | ||||
\(179\) | 16.3529 | + | 18.1617i | 1.22227 | + | 1.35747i | 0.913763 | + | 0.406247i | \(0.133163\pi\) |
0.308508 | + | 0.951222i | \(0.400170\pi\) | |||||||
\(180\) | 2.87182 | − | 2.42232i | 0.214053 | − | 0.180549i | ||||
\(181\) | −7.21645 | − | 22.2100i | −0.536395 | − | 1.65085i | −0.740616 | − | 0.671929i | \(-0.765466\pi\) |
0.204221 | − | 0.978925i | \(-0.434534\pi\) | |||||||
\(182\) | 9.72634 | − | 2.21263i | 0.720964 | − | 0.164011i | ||||
\(183\) | −2.06279 | − | 6.34861i | −0.152486 | − | 0.469303i | ||||
\(184\) | −1.31409 | + | 12.5028i | −0.0968763 | + | 0.921717i | ||||
\(185\) | 0.714107 | − | 22.0729i | 0.0525022 | − | 1.62283i | ||||
\(186\) | 4.26642 | + | 40.5923i | 0.312829 | + | 2.97637i | ||||
\(187\) | −0.339389 | + | 3.22907i | −0.0248186 | + | 0.236133i | ||||
\(188\) | 2.35986 | + | 1.71454i | 0.172110 | + | 0.125045i | ||||
\(189\) | 8.74760 | + | 25.6724i | 0.636294 | + | 1.86739i | ||||
\(190\) | 13.4976 | − | 7.22126i | 0.979216 | − | 0.523885i | ||||
\(191\) | 0.180230 | − | 1.71477i | 0.0130410 | − | 0.124077i | −0.986065 | − | 0.166363i | \(-0.946798\pi\) |
0.999106 | + | 0.0422866i | \(0.0134643\pi\) | |||||||
\(192\) | −19.9837 | − | 4.24766i | −1.44220 | − | 0.306548i | ||||
\(193\) | −2.03465 | + | 3.52411i | −0.146457 | + | 0.253671i | −0.929916 | − | 0.367773i | \(-0.880120\pi\) |
0.783459 | + | 0.621444i | \(0.213454\pi\) | |||||||
\(194\) | −8.84108 | + | 9.81901i | −0.634752 | + | 0.704964i | ||||
\(195\) | −3.01823 | − | 16.8641i | −0.216140 | − | 1.20766i | ||||
\(196\) | −0.245905 | − | 1.83515i | −0.0175646 | − | 0.131082i | ||||
\(197\) | −3.38343 | + | 10.4131i | −0.241060 | + | 0.741906i | 0.755200 | + | 0.655495i | \(0.227540\pi\) |
−0.996260 | + | 0.0864109i | \(0.972460\pi\) | |||||||
\(198\) | 14.5215 | + | 6.46541i | 1.03200 | + | 0.459476i | ||||
\(199\) | 2.86361 | − | 4.95992i | 0.202996 | − | 0.351600i | −0.746496 | − | 0.665390i | \(-0.768265\pi\) |
0.949492 | + | 0.313790i | \(0.101599\pi\) | |||||||
\(200\) | −5.78443 | − | 11.7070i | −0.409021 | − | 0.827810i | ||||
\(201\) | −7.98936 | − | 13.8380i | −0.563526 | − | 0.976056i | ||||
\(202\) | 0.503336 | − | 0.365695i | 0.0354146 | − | 0.0257302i | ||||
\(203\) | −5.83786 | − | 4.11572i | −0.409738 | − | 0.288867i | ||||
\(204\) | 0.488044 | − | 1.50205i | 0.0341699 | − | 0.105164i | ||||
\(205\) | 5.03747 | + | 3.12982i | 0.351832 | + | 0.218596i | ||||
\(206\) | −6.87992 | − | 1.46237i | −0.479347 | − | 0.101888i | ||||
\(207\) | 15.2886 | − | 26.4807i | 1.06263 | − | 1.84054i | ||||
\(208\) | 7.47521 | − | 8.30206i | 0.518312 | − | 0.575644i | ||||
\(209\) | 6.12039 | + | 4.44673i | 0.423357 | + | 0.307587i | ||||
\(210\) | −27.1234 | + | 2.35534i | −1.87169 | + | 0.162534i | ||||
\(211\) | 19.1729 | − | 13.9299i | 1.31992 | − | 0.958975i | 0.319983 | − | 0.947423i | \(-0.396323\pi\) |
0.999933 | − | 0.0115518i | \(-0.00367714\pi\) | |||||||
\(212\) | 0.151524 | − | 1.44165i | 0.0104067 | − | 0.0990131i | ||||
\(213\) | 4.99995 | − | 2.22612i | 0.342591 | − | 0.152531i | ||||
\(214\) | 1.10175 | + | 10.4825i | 0.0753143 | + | 0.716568i | ||||
\(215\) | 11.2609 | − | 0.816473i | 0.767984 | − | 0.0556830i | ||||
\(216\) | 21.6589 | + | 15.7361i | 1.47370 | + | 1.07071i | ||||
\(217\) | 11.4423 | − | 20.4871i | 0.776756 | − | 1.39075i | ||||
\(218\) | 25.0962 | 1.69973 | ||||||||
\(219\) | −7.98940 | + | 8.87312i | −0.539873 | + | 0.599590i | ||||
\(220\) | −0.603552 | + | 0.776610i | −0.0406915 | + | 0.0523591i | ||||
\(221\) | −3.27314 | − | 3.63519i | −0.220175 | − | 0.244529i | ||||
\(222\) | −44.4576 | + | 9.44976i | −2.98380 | + | 0.634227i | ||||
\(223\) | −8.55475 | + | 6.21539i | −0.572869 | + | 0.416213i | −0.836146 | − | 0.548507i | \(-0.815197\pi\) |
0.263278 | + | 0.964720i | \(0.415197\pi\) | |||||||
\(224\) | −2.67366 | − | 2.88567i | −0.178641 | − | 0.192807i | ||||
\(225\) | 1.27128 | + | 31.7350i | 0.0847518 | + | 2.11567i | ||||
\(226\) | −0.708828 | − | 1.22773i | −0.0471506 | − | 0.0816672i | ||||
\(227\) | 2.67588 | + | 25.4593i | 0.177604 | + | 1.68979i | 0.613421 | + | 0.789756i | \(0.289793\pi\) |
−0.435817 | + | 0.900035i | \(0.643540\pi\) | |||||||
\(228\) | −2.46233 | − | 2.73470i | −0.163072 | − | 0.181110i | ||||
\(229\) | 2.53872 | − | 0.539622i | 0.167764 | − | 0.0356592i | −0.123264 | − | 0.992374i | \(-0.539336\pi\) |
0.291028 | + | 0.956715i | \(0.406003\pi\) | |||||||
\(230\) | 11.6805 | + | 11.2220i | 0.770190 | + | 0.739955i | ||||
\(231\) | −6.89274 | − | 11.5553i | −0.453509 | − | 0.760286i | ||||
\(232\) | −7.05066 | −0.462898 | ||||||||
\(233\) | −0.357715 | + | 0.397283i | −0.0234347 | + | 0.0260269i | −0.754748 | − | 0.656015i | \(-0.772241\pi\) |
0.731314 | + | 0.682041i | \(0.238908\pi\) | |||||||
\(234\) | −21.8778 | + | 9.74062i | −1.43020 | + | 0.636765i | ||||
\(235\) | −23.6862 | + | 6.85771i | −1.54511 | + | 0.447348i | ||||
\(236\) | −2.80065 | − | 1.24693i | −0.182307 | − | 0.0811681i | ||||
\(237\) | 15.6953 | + | 11.4033i | 1.01952 | + | 0.740722i | ||||
\(238\) | −6.22323 | + | 4.65828i | −0.403392 | + | 0.301952i | ||||
\(239\) | 15.6645 | − | 11.3809i | 1.01325 | − | 0.736171i | 0.0483638 | − | 0.998830i | \(-0.484599\pi\) |
0.964889 | + | 0.262659i | \(0.0845993\pi\) | |||||||
\(240\) | −23.3076 | + | 19.6596i | −1.50450 | + | 1.26902i | ||||
\(241\) | −6.76306 | + | 3.01111i | −0.435647 | + | 0.193963i | −0.612829 | − | 0.790216i | \(-0.709969\pi\) |
0.177182 | + | 0.984178i | \(0.443302\pi\) | |||||||
\(242\) | 12.1209 | + | 2.57637i | 0.779159 | + | 0.165615i | ||||
\(243\) | −3.41974 | − | 5.92317i | −0.219377 | − | 0.379972i | ||||
\(244\) | −0.178418 | − | 0.549115i | −0.0114221 | − | 0.0351535i | ||||
\(245\) | 13.5252 | + | 7.87847i | 0.864090 | + | 0.503337i | ||||
\(246\) | 3.77170 | − | 11.6081i | 0.240475 | − | 0.740105i | ||||
\(247\) | −11.1485 | + | 2.36969i | −0.709363 | + | 0.150780i | ||||
\(248\) | −2.42121 | − | 23.0362i | −0.153747 | − | 1.46280i | ||||
\(249\) | 0.356668 | − | 0.617767i | 0.0226029 | − | 0.0391494i | ||||
\(250\) | −16.4833 | − | 3.37124i | −1.04249 | − | 0.213216i | ||||
\(251\) | 0.684344 | 0.0431954 | 0.0215977 | − | 0.999767i | \(-0.493125\pi\) | ||||
0.0215977 | + | 0.999767i | \(0.493125\pi\) | |||||||
\(252\) | 1.43375 | + | 4.20777i | 0.0903180 | + | 0.265065i | ||||
\(253\) | −2.47368 | + | 7.61321i | −0.155519 | + | 0.478638i | ||||
\(254\) | 28.5944 | − | 6.07793i | 1.79417 | − | 0.381363i | ||||
\(255\) | 7.49432 | + | 11.0495i | 0.469312 | + | 0.691948i | ||||
\(256\) | −6.10565 | − | 1.29780i | −0.381603 | − | 0.0811122i | ||||
\(257\) | −9.53512 | − | 16.5153i | −0.594785 | − | 1.03020i | −0.993577 | − | 0.113156i | \(-0.963904\pi\) |
0.398793 | − | 0.917041i | \(-0.369429\pi\) | |||||||
\(258\) | −7.18040 | − | 22.0990i | −0.447032 | − | 1.37582i | ||||
\(259\) | 24.0205 | + | 10.2872i | 1.49256 | + | 0.639218i | ||||
\(260\) | −0.261057 | − | 1.45864i | −0.0161901 | − | 0.0904609i | ||||
\(261\) | 15.6663 | + | 6.97509i | 0.969721 | + | 0.431747i | ||||
\(262\) | −6.12337 | + | 2.72630i | −0.378303 | + | 0.168431i | ||||
\(263\) | 15.9948 | − | 7.12133i | 0.986280 | − | 0.439120i | 0.150754 | − | 0.988571i | \(-0.451830\pi\) |
0.835526 | + | 0.549451i | \(0.185163\pi\) | |||||||
\(264\) | −12.1331 | − | 5.40202i | −0.746743 | − | 0.332471i | ||||
\(265\) | 8.83690 | + | 8.48998i | 0.542846 | + | 0.521536i | ||||
\(266\) | 2.14961 | + | 17.9845i | 0.131801 | + | 1.10270i | ||||
\(267\) | 8.78319 | + | 27.0319i | 0.537523 | + | 1.65432i | ||||
\(268\) | −0.691030 | − | 1.19690i | −0.0422114 | − | 0.0731122i | ||||
\(269\) | −24.6737 | − | 5.24456i | −1.50438 | − | 0.319766i | −0.619282 | − | 0.785168i | \(-0.712576\pi\) |
−0.885099 | + | 0.465402i | \(0.845910\pi\) | |||||||
\(270\) | 33.1331 | − | 9.59283i | 2.01642 | − | 0.583801i | ||||
\(271\) | −11.1323 | + | 2.36624i | −0.676239 | + | 0.143739i | −0.533215 | − | 0.845980i | \(-0.679016\pi\) |
−0.143025 | + | 0.989719i | \(0.545683\pi\) | |||||||
\(272\) | −2.69035 | + | 8.28004i | −0.163126 | + | 0.502051i | ||||
\(273\) | 19.8860 | + | 3.93176i | 1.20355 | + | 0.237961i | ||||
\(274\) | −3.35137 | −0.202464 | ||||||||
\(275\) | −2.05289 | − | 8.05734i | −0.123794 | − | 0.485876i | ||||
\(276\) | 1.94691 | − | 3.37215i | 0.117190 | − | 0.202979i | ||||
\(277\) | 0.0470796 | + | 0.447933i | 0.00282874 | + | 0.0269137i | 0.995845 | − | 0.0910621i | \(-0.0290262\pi\) |
−0.993016 | + | 0.117976i | \(0.962359\pi\) | |||||||
\(278\) | 25.9296 | − | 5.51151i | 1.55515 | − | 0.330558i | ||||
\(279\) | −17.4095 | + | 53.5810i | −1.04228 | + | 3.20781i | ||||
\(280\) | 15.3926 | − | 1.33666i | 0.919884 | − | 0.0798808i | ||||
\(281\) | −0.655012 | − | 2.01592i | −0.0390747 | − | 0.120260i | 0.929616 | − | 0.368529i | \(-0.120138\pi\) |
−0.968691 | + | 0.248269i | \(0.920138\pi\) | |||||||
\(282\) | 25.3747 | + | 43.9502i | 1.51104 | + | 2.61720i | ||||
\(283\) | −5.22456 | − | 1.11051i | −0.310568 | − | 0.0660132i | 0.0499911 | − | 0.998750i | \(-0.484081\pi\) |
−0.360559 | + | 0.932736i | \(0.617414\pi\) | |||||||
\(284\) | 0.432464 | − | 0.192545i | 0.0256620 | − | 0.0114255i | ||||
\(285\) | 31.0273 | − | 2.24964i | 1.83790 | − | 0.133257i | ||||
\(286\) | 5.07217 | − | 3.68515i | 0.299924 | − | 0.217907i | ||||
\(287\) | −5.61770 | + | 4.20502i | −0.331602 | + | 0.248214i | ||||
\(288\) | 7.64096 | + | 5.55148i | 0.450248 | + | 0.327124i | ||||
\(289\) | −12.0477 | − | 5.36399i | −0.708689 | − | 0.315529i | ||||
\(290\) | −5.57448 | + | 7.17286i | −0.327345 | + | 0.421205i | ||||
\(291\) | −24.5297 | + | 10.9213i | −1.43796 | + | 0.640219i | ||||
\(292\) | −0.691032 | + | 0.767469i | −0.0404396 | + | 0.0449127i | ||||
\(293\) | −18.8890 | −1.10351 | −0.551755 | − | 0.834006i | \(-0.686042\pi\) | ||||
−0.551755 | + | 0.834006i | \(0.686042\pi\) | |||||||
\(294\) | 9.07798 | − | 30.9080i | 0.529438 | − | 1.80259i | ||||
\(295\) | 22.8515 | − | 12.2257i | 1.33047 | − | 0.711806i | ||||
\(296\) | 25.2299 | − | 5.36277i | 1.46646 | − | 0.311705i | ||||
\(297\) | 11.4067 | + | 12.6684i | 0.661884 | + | 0.735096i | ||||
\(298\) | −2.15696 | − | 20.5221i | −0.124949 | − | 1.18881i | ||||
\(299\) | −6.03007 | − | 10.4444i | −0.348728 | − | 0.604015i | ||||
\(300\) | 0.161889 | + | 4.04124i | 0.00934666 | + | 0.233321i | ||||
\(301\) | −3.94680 | + | 12.7627i | −0.227490 | + | 0.735628i | ||||
\(302\) | 1.33836 | − | 0.972377i | 0.0770141 | − | 0.0559540i | ||||
\(303\) | 1.23672 | − | 0.262873i | 0.0710478 | − | 0.0151017i | ||||
\(304\) | 13.5736 | + | 15.0750i | 0.778501 | + | 0.864613i | ||||
\(305\) | 4.59084 | + | 1.65760i | 0.262871 | + | 0.0949142i | ||||
\(306\) | 12.4882 | − | 13.8695i | 0.713900 | − | 0.792867i | ||||
\(307\) | −0.704608 | −0.0402141 | −0.0201070 | − | 0.999798i | \(-0.506401\pi\) | ||||
−0.0201070 | + | 0.999798i | \(0.506401\pi\) | |||||||
\(308\) | −0.596179 | − | 0.999465i | −0.0339704 | − | 0.0569498i | ||||
\(309\) | −11.5639 | − | 8.40166i | −0.657847 | − | 0.477954i | ||||
\(310\) | −25.3498 | − | 15.7500i | −1.43977 | − | 0.894541i | ||||
\(311\) | 1.01262 | + | 9.63441i | 0.0574203 | + | 0.546318i | 0.984983 | + | 0.172650i | \(0.0552331\pi\) |
−0.927563 | + | 0.373667i | \(0.878100\pi\) | |||||||
\(312\) | 18.2795 | − | 8.13855i | 1.03487 | − | 0.460755i | ||||
\(313\) | −2.07818 | + | 19.7725i | −0.117465 | + | 1.11761i | 0.763953 | + | 0.645272i | \(0.223256\pi\) |
−0.881418 | + | 0.472337i | \(0.843411\pi\) | |||||||
\(314\) | −13.5815 | + | 9.86752i | −0.766447 | + | 0.556856i | ||||
\(315\) | −35.5242 | − | 12.2576i | −2.00156 | − | 0.690639i | ||||
\(316\) | 1.35754 | + | 0.986312i | 0.0763677 | + | 0.0554844i | ||||
\(317\) | −3.59550 | + | 3.99321i | −0.201943 | + | 0.224281i | −0.835607 | − | 0.549328i | \(-0.814884\pi\) |
0.633663 | + | 0.773609i | \(0.281550\pi\) | |||||||
\(318\) | 12.6101 | − | 21.8413i | 0.707140 | − | 1.22480i | ||||
\(319\) | −4.39141 | − | 0.933422i | −0.245872 | − | 0.0522616i | ||||
\(320\) | 11.4187 | − | 9.63149i | 0.638327 | − | 0.538417i | ||||
\(321\) | −6.61911 | + | 20.3715i | −0.369443 | + | 1.13703i | ||||
\(322\) | −17.3957 | + | 8.04383i | −0.969424 | + | 0.448265i | ||||
\(323\) | 7.18595 | − | 5.22090i | 0.399837 | − | 0.290499i | ||||
\(324\) | −1.62577 | − | 2.81591i | −0.0903204 | − | 0.156440i | ||||
\(325\) | 11.0905 | + | 5.82414i | 0.615192 | + | 0.323065i | ||||
\(326\) | 0.312617 | − | 0.541468i | 0.0173142 | − | 0.0299892i | ||||
\(327\) | 46.5915 | + | 20.7439i | 2.57651 | + | 1.14714i | ||||
\(328\) | −2.14045 | + | 6.58763i | −0.118187 | + | 0.363741i | ||||
\(329\) | 2.63626 | − | 29.0575i | 0.145342 | − | 1.60199i | ||||
\(330\) | −15.0885 | + | 8.07242i | −0.830594 | + | 0.444372i | ||||
\(331\) | −5.08865 | + | 5.65152i | −0.279697 | + | 0.310635i | −0.866582 | − | 0.499036i | \(-0.833688\pi\) |
0.586884 | + | 0.809671i | \(0.300354\pi\) | |||||||
\(332\) | 0.0308496 | − | 0.0534330i | 0.00169309 | − | 0.00293252i | ||||
\(333\) | −61.3652 | − | 13.0436i | −3.36279 | − | 0.714783i | ||||
\(334\) | −0.346340 | + | 3.29521i | −0.0189509 | + | 0.180306i | ||||
\(335\) | 11.5739 | + | 1.59634i | 0.632351 | + | 0.0872174i | ||||
\(336\) | −11.6363 | − | 34.1502i | −0.634814 | − | 1.86305i | ||||
\(337\) | −26.9389 | − | 19.5723i | −1.46746 | − | 1.06617i | −0.981341 | − | 0.192277i | \(-0.938413\pi\) |
−0.486117 | − | 0.873894i | \(-0.661587\pi\) | |||||||
\(338\) | 1.05754 | − | 10.0618i | 0.0575225 | − | 0.547290i | ||||
\(339\) | −0.301143 | − | 2.86519i | −0.0163559 | − | 0.155616i | ||||
\(340\) | 0.648211 | + | 0.955715i | 0.0351542 | + | 0.0518309i | ||||
\(341\) | 1.54171 | − | 14.6683i | 0.0834880 | − | 0.794336i | ||||
\(342\) | −13.4378 | − | 41.3573i | −0.726634 | − | 2.23635i | ||||
\(343\) | −14.5046 | + | 11.5160i | −0.783173 | + | 0.621804i | ||||
\(344\) | 4.07490 | + | 12.5413i | 0.219704 | + | 0.676179i | ||||
\(345\) | 12.4092 | + | 30.4885i | 0.668091 | + | 1.64144i | ||||
\(346\) | −7.55896 | − | 8.39508i | −0.406372 | − | 0.451322i | ||||
\(347\) | −0.362883 | − | 0.403022i | −0.0194806 | − | 0.0216354i | 0.733326 | − | 0.679877i | \(-0.237967\pi\) |
−0.752806 | + | 0.658242i | \(0.771300\pi\) | |||||||
\(348\) | 1.99500 | + | 0.888232i | 0.106943 | + | 0.0476143i | ||||
\(349\) | 12.5359 | 0.671029 | 0.335514 | − | 0.942035i | \(-0.391090\pi\) | ||||
0.335514 | + | 0.942035i | \(0.391090\pi\) | |||||||
\(350\) | 10.8101 | − | 16.7162i | 0.577822 | − | 0.893519i | ||||
\(351\) | −25.6827 | −1.37084 | ||||||||
\(352\) | −2.25883 | − | 1.00569i | −0.120396 | − | 0.0536037i | ||||
\(353\) | −3.40368 | − | 3.78017i | −0.181160 | − | 0.201198i | 0.645724 | − | 0.763570i | \(-0.276555\pi\) |
−0.826884 | + | 0.562372i | \(0.809889\pi\) | |||||||
\(354\) | −35.6896 | − | 39.6373i | −1.89688 | − | 2.10670i | ||||
\(355\) | −0.958181 | + | 3.88549i | −0.0508550 | + | 0.206221i | ||||
\(356\) | 0.759691 | + | 2.33809i | 0.0402635 | + | 0.123918i | ||||
\(357\) | −15.4039 | + | 3.50420i | −0.815261 | + | 0.185462i | ||||
\(358\) | 11.3646 | + | 34.9765i | 0.600635 | + | 1.84857i | ||||
\(359\) | −0.858602 | + | 8.16906i | −0.0453153 | + | 0.431146i | 0.948219 | + | 0.317616i | \(0.102882\pi\) |
−0.993535 | + | 0.113530i | \(0.963784\pi\) | |||||||
\(360\) | −35.6313 | + | 10.3161i | −1.87793 | + | 0.543707i | ||||
\(361\) | −0.177276 | − | 1.68667i | −0.00933030 | − | 0.0887719i | ||||
\(362\) | 3.67336 | − | 34.9496i | 0.193067 | − | 1.83691i | ||||
\(363\) | 20.3730 | + | 14.8018i | 1.06930 | + | 0.776895i | ||||
\(364\) | 1.72001 | + | 0.340072i | 0.0901530 | + | 0.0178246i | ||||
\(365\) | −1.53807 | − | 8.59384i | −0.0805063 | − | 0.449822i | ||||
\(366\) | 1.05001 | − | 9.99018i | 0.0548849 | − | 0.522195i | ||||
\(367\) | −18.7148 | − | 3.97796i | −0.976907 | − | 0.207648i | −0.308320 | − | 0.951283i | \(-0.599767\pi\) |
−0.668586 | + | 0.743635i | \(0.733100\pi\) | |||||||
\(368\) | −10.7324 | + | 18.5890i | −0.559463 | + | 0.969018i | ||||
\(369\) | 11.2730 | − | 12.5200i | 0.586850 | − | 0.651763i | ||||
\(370\) | 14.4918 | − | 29.9071i | 0.753394 | − | 1.55480i | ||||
\(371\) | −13.1607 | + | 6.08557i | −0.683271 | + | 0.315947i | ||||
\(372\) | −2.21699 | + | 6.82319i | −0.114945 | + | 0.353766i | ||||
\(373\) | −22.3548 | − | 9.95300i | −1.15749 | − | 0.515347i | −0.264039 | − | 0.964512i | \(-0.585055\pi\) |
−0.893449 | + | 0.449165i | \(0.851722\pi\) | |||||||
\(374\) | −2.44298 | + | 4.23136i | −0.126323 | + | 0.218799i | ||||
\(375\) | −27.8148 | − | 19.8834i | −1.43635 | − | 1.02677i | ||||
\(376\) | −14.4002 | − | 24.9419i | −0.742633 | − | 1.28628i | ||||
\(377\) | 5.47202 | − | 3.97566i | 0.281823 | − | 0.204757i | ||||
\(378\) | −3.68770 | + | 40.6467i | −0.189675 | + | 2.09064i | ||||
\(379\) | −0.130877 | + | 0.402797i | −0.00672268 | + | 0.0206903i | −0.954362 | − | 0.298654i | \(-0.903462\pi\) |
0.947639 | + | 0.319344i | \(0.103462\pi\) | |||||||
\(380\) | 2.68366 | − | 0.194580i | 0.137669 | − | 0.00998175i | ||||
\(381\) | 58.1097 | + | 12.3516i | 2.97705 | + | 0.632791i | ||||
\(382\) | 1.29733 | − | 2.24703i | 0.0663770 | − | 0.114968i | ||||
\(383\) | 19.0926 | − | 21.2045i | 0.975587 | − | 1.08350i | −0.0209028 | − | 0.999782i | \(-0.506654\pi\) |
0.996490 | − | 0.0837173i | \(-0.0266793\pi\) | |||||||
\(384\) | −32.2295 | − | 23.4161i | −1.64471 | − | 1.19495i | ||||
\(385\) | 9.76403 | + | 1.20527i | 0.497621 | + | 0.0614265i | ||||
\(386\) | −4.95409 | + | 3.59935i | −0.252156 | + | 0.183202i | ||||
\(387\) | 3.35256 | − | 31.8975i | 0.170420 | − | 1.62144i | ||||
\(388\) | −2.12166 | + | 0.944625i | −0.107711 | + | 0.0479561i | ||||
\(389\) | −0.493899 | − | 4.69914i | −0.0250417 | − | 0.238256i | −0.999882 | − | 0.0153521i | \(-0.995113\pi\) |
0.974840 | − | 0.222904i | \(-0.0715536\pi\) | |||||||
\(390\) | 6.17274 | − | 25.0309i | 0.312569 | − | 1.26749i | ||||
\(391\) | 7.60368 | + | 5.52440i | 0.384535 | + | 0.279381i | ||||
\(392\) | −5.15178 | + | 17.5404i | −0.260204 | + | 0.885924i | ||||
\(393\) | −13.6216 | −0.687119 | ||||||||
\(394\) | −11.0249 | + | 12.2444i | −0.555425 | + | 0.616862i | ||||
\(395\) | −13.6258 | + | 3.94500i | −0.685589 | + | 0.198494i | ||||
\(396\) | 1.86959 | + | 2.07639i | 0.0939502 | + | 0.104342i | ||||
\(397\) | −12.2273 | + | 2.59900i | −0.613671 | + | 0.130440i | −0.504253 | − | 0.863556i | \(-0.668232\pi\) |
−0.109418 | + | 0.993996i | \(0.534899\pi\) | |||||||
\(398\) | 6.97250 | − | 5.06582i | 0.349500 | − | 0.253927i | ||||
\(399\) | −10.8747 | + | 35.1652i | −0.544416 | + | 1.76046i | ||||
\(400\) | −0.892414 | − | 22.2774i | −0.0446207 | − | 1.11387i | ||||
\(401\) | −5.46674 | − | 9.46866i | −0.272996 | − | 0.472843i | 0.696632 | − | 0.717429i | \(-0.254681\pi\) |
−0.969628 | + | 0.244586i | \(0.921348\pi\) | |||||||
\(402\) | −2.51341 | − | 23.9135i | −0.125358 | − | 1.19270i | ||||
\(403\) | 14.8686 | + | 16.5132i | 0.740655 | + | 0.822581i | ||||
\(404\) | 0.106969 | − | 0.0227369i | 0.00532189 | − | 0.00113120i | ||||
\(405\) | 27.2297 | + | 3.75567i | 1.35305 | + | 0.186621i | ||||
\(406\) | −5.50637 | − | 9.23117i | −0.273277 | − | 0.458135i | ||||
\(407\) | 16.4240 | 0.814109 | ||||||||
\(408\) | −10.4342 | + | 11.5883i | −0.516569 | + | 0.573708i | ||||
\(409\) | 21.6200 | − | 9.62586i | 1.06904 | − | 0.475968i | 0.204675 | − | 0.978830i | \(-0.434386\pi\) |
0.864367 | + | 0.502862i | \(0.167720\pi\) | |||||||
\(410\) | 5.00950 | + | 7.38594i | 0.247401 | + | 0.364765i | ||||
\(411\) | −6.22186 | − | 2.77015i | −0.306902 | − | 0.136641i | ||||
\(412\) | −1.00020 | − | 0.726691i | −0.0492765 | − | 0.0358015i | ||||
\(413\) | 3.63932 | + | 30.4479i | 0.179079 | + | 1.49824i | ||||
\(414\) | 37.2258 | − | 27.0461i | 1.82955 | − | 1.32924i | ||||
\(415\) | 0.196629 | + | 0.483102i | 0.00965215 | + | 0.0237146i | ||||
\(416\) | 3.40309 | − | 1.51515i | 0.166850 | − | 0.0742866i | ||||
\(417\) | 52.6943 | + | 11.2005i | 2.58045 | + | 0.548491i | ||||
\(418\) | 5.69218 | + | 9.85915i | 0.278414 | + | 0.482227i | ||||
\(419\) | 5.20299 | + | 16.0131i | 0.254183 | + | 0.782294i | 0.993990 | + | 0.109474i | \(0.0349168\pi\) |
−0.739807 | + | 0.672819i | \(0.765083\pi\) | |||||||
\(420\) | −4.52377 | − | 1.56093i | −0.220737 | − | 0.0761655i | ||||
\(421\) | −6.22222 | + | 19.1500i | −0.303253 | + | 0.933315i | 0.677071 | + | 0.735918i | \(0.263249\pi\) |
−0.980324 | + | 0.197398i | \(0.936751\pi\) | |||||||
\(422\) | 34.8836 | − | 7.41474i | 1.69811 | − | 0.360944i | ||||
\(423\) | 7.32217 | + | 69.6658i | 0.356016 | + | 3.38727i | ||||
\(424\) | −7.15627 | + | 12.3950i | −0.347539 | + | 0.601956i | ||||
\(425\) | −9.74192 | − | 0.631007i | −0.472553 | − | 0.0306084i | ||||
\(426\) | 8.23611 | 0.399041 | ||||||||
\(427\) | −3.80285 | + | 4.34641i | −0.184033 | + | 0.210337i | ||||
\(428\) | −0.572512 | + | 1.76201i | −0.0276734 | + | 0.0851700i | ||||
\(429\) | 12.4626 | − | 2.64900i | 0.601699 | − | 0.127895i | ||||
\(430\) | 15.9804 | + | 5.76999i | 0.770642 | + | 0.278254i | ||||
\(431\) | 25.8435 | + | 5.49321i | 1.24484 | + | 0.264599i | 0.782807 | − | 0.622265i | \(-0.213787\pi\) |
0.462032 | + | 0.886863i | \(0.347121\pi\) | |||||||
\(432\) | 22.8551 | + | 39.5861i | 1.09961 | + | 1.90459i | ||||
\(433\) | −4.86132 | − | 14.9616i | −0.233620 | − | 0.719009i | −0.997301 | − | 0.0734156i | \(-0.976610\pi\) |
0.763681 | − | 0.645594i | \(-0.223390\pi\) | |||||||
\(434\) | 28.2696 | − | 21.1607i | 1.35698 | − | 1.01575i | ||||
\(435\) | −16.2780 | + | 8.70879i | −0.780469 | + | 0.417555i | ||||
\(436\) | 4.02987 | + | 1.79421i | 0.192996 | + | 0.0859272i | ||||
\(437\) | 20.0058 | − | 8.90715i | 0.957006 | − | 0.426087i | ||||
\(438\) | −16.4142 | + | 7.30808i | −0.784302 | + | 0.349194i | ||||
\(439\) | −16.3462 | − | 7.27778i | −0.780160 | − | 0.347350i | −0.0222870 | − | 0.999752i | \(-0.507095\pi\) |
−0.757873 | + | 0.652402i | \(0.773761\pi\) | |||||||
\(440\) | 8.56277 | − | 4.58112i | 0.408214 | − | 0.218396i | ||||
\(441\) | 28.7995 | − | 33.8776i | 1.37140 | − | 1.61322i | ||||
\(442\) | −2.27469 | − | 7.00079i | −0.108196 | − | 0.332994i | ||||
\(443\) | −12.6798 | − | 21.9620i | −0.602434 | − | 1.04345i | −0.992451 | − | 0.122639i | \(-0.960864\pi\) |
0.390017 | − | 0.920808i | \(-0.372469\pi\) | |||||||
\(444\) | −7.81445 | − | 1.66101i | −0.370857 | − | 0.0788282i | ||||
\(445\) | −19.5475 | − | 7.05795i | −0.926639 | − | 0.334579i | ||||
\(446\) | −15.5647 | + | 3.30838i | −0.737011 | + | 0.156656i | ||||
\(447\) | 12.9586 | − | 39.8824i | 0.612919 | − | 1.88637i | ||||
\(448\) | 5.70080 | + | 16.7307i | 0.269337 | + | 0.790450i | ||||
\(449\) | −14.8178 | −0.699296 | −0.349648 | − | 0.936881i | \(-0.613699\pi\) | ||||
−0.349648 | + | 0.936881i | \(0.613699\pi\) | |||||||
\(450\) | −17.6763 | + | 44.4051i | −0.833271 | + | 2.09328i | ||||
\(451\) | −2.20527 | + | 3.81964i | −0.103842 | + | 0.179860i | ||||
\(452\) | −0.0260470 | − | 0.247821i | −0.00122515 | − | 0.0116565i | ||||
\(453\) | 3.28842 | − | 0.698976i | 0.154504 | − | 0.0328408i | ||||
\(454\) | −11.9042 | + | 36.6374i | −0.558693 | + | 1.71948i | ||||
\(455\) | −11.1925 | + | 9.71682i | −0.524713 | + | 0.455531i | ||||
\(456\) | 11.2277 | + | 34.5552i | 0.525783 | + | 1.61819i | ||||
\(457\) | 0.803950 | + | 1.39248i | 0.0376072 | + | 0.0651375i | 0.884216 | − | 0.467078i | \(-0.154693\pi\) |
−0.846609 | + | 0.532215i | \(0.821360\pi\) | |||||||
\(458\) | 3.82034 | + | 0.812039i | 0.178513 | + | 0.0379441i | ||||
\(459\) | 18.2845 | − | 8.14080i | 0.853449 | − | 0.379980i | ||||
\(460\) | 1.07332 | + | 2.63706i | 0.0500438 | + | 0.122954i | ||||
\(461\) | 22.3564 | − | 16.2429i | 1.04124 | − | 0.756507i | 0.0707151 | − | 0.997497i | \(-0.477472\pi\) |
0.970528 | + | 0.240989i | \(0.0774719\pi\) | |||||||
\(462\) | −2.40299 | − | 20.1043i | −0.111797 | − | 0.935337i | ||||
\(463\) | 3.80880 | + | 2.76725i | 0.177010 | + | 0.128605i | 0.672762 | − | 0.739859i | \(-0.265108\pi\) |
−0.495753 | + | 0.868464i | \(0.665108\pi\) | |||||||
\(464\) | −10.9975 | − | 4.89639i | −0.510545 | − | 0.227309i | ||||
\(465\) | −34.0436 | − | 50.1935i | −1.57874 | − | 2.32767i | ||||
\(466\) | −0.734926 | + | 0.327210i | −0.0340448 | + | 0.0151577i | ||||
\(467\) | 4.80910 | − | 5.34105i | 0.222539 | − | 0.247154i | −0.621529 | − | 0.783391i | \(-0.713488\pi\) |
0.844067 | + | 0.536237i | \(0.180155\pi\) | |||||||
\(468\) | −4.20945 | −0.194582 | ||||||||
\(469\) | −6.74085 | + | 12.0692i | −0.311264 | + | 0.557306i | ||||
\(470\) | −36.7594 | − | 5.07006i | −1.69559 | − | 0.233865i | ||||
\(471\) | −33.3704 | + | 7.09309i | −1.53763 | + | 0.326832i | ||||
\(472\) | 20.2539 | + | 22.4943i | 0.932263 | + | 1.03538i | ||||
\(473\) | 0.877685 | + | 8.35062i | 0.0403560 | + | 0.383962i | ||||
\(474\) | 14.5971 | + | 25.2830i | 0.670469 | + | 1.16129i | ||||
\(475\) | −12.6227 | + | 18.9226i | −0.579169 | + | 0.868230i | ||||
\(476\) | −1.33234 | + | 0.303092i | −0.0610677 | + | 0.0138922i | ||||
\(477\) | 28.1632 | − | 20.4617i | 1.28950 | − | 0.936879i | ||||
\(478\) | 28.5004 | − | 6.05794i | 1.30358 | − | 0.277084i | ||||
\(479\) | −5.30614 | − | 5.89306i | −0.242444 | − | 0.269261i | 0.609626 | − | 0.792689i | \(-0.291320\pi\) |
−0.852070 | + | 0.523428i | \(0.824653\pi\) | |||||||
\(480\) | −9.76638 | + | 2.82760i | −0.445772 | + | 0.129062i | ||||
\(481\) | −16.5570 | + | 18.3884i | −0.754934 | + | 0.838439i | ||||
\(482\) | −11.1404 | −0.507430 | ||||||||
\(483\) | −38.9441 | + | 0.554672i | −1.77202 | + | 0.0252385i | ||||
\(484\) | 1.76213 | + | 1.28027i | 0.0800970 | + | 0.0581939i | ||||
\(485\) | 4.70083 | − | 19.0622i | 0.213453 | − | 0.865570i | ||||
\(486\) | −1.07583 | − | 10.2359i | −0.0488008 | − | 0.464309i | ||||
\(487\) | −37.6920 | + | 16.7816i | −1.70799 | + | 0.760446i | −0.709547 | + | 0.704658i | \(0.751100\pi\) |
−0.998443 | + | 0.0557876i | \(0.982233\pi\) | |||||||
\(488\) | −0.595884 | + | 5.66946i | −0.0269744 | + | 0.256644i | ||||
\(489\) | 1.02794 | − | 0.746841i | 0.0464850 | − | 0.0337733i | ||||
\(490\) | 13.7713 | + | 19.1091i | 0.622122 | + | 0.863260i | ||||
\(491\) | 8.78260 | + | 6.38094i | 0.396353 | + | 0.287968i | 0.768054 | − | 0.640385i | \(-0.221225\pi\) |
−0.371701 | + | 0.928353i | \(0.621225\pi\) | |||||||
\(492\) | 1.43555 | − | 1.59434i | 0.0647194 | − | 0.0718782i | ||||
\(493\) | −2.63557 | + | 4.56494i | −0.118700 | + | 0.205594i | ||||
\(494\) | −16.7766 | − | 3.56598i | −0.754815 | − | 0.160441i | ||||
\(495\) | −23.5582 | + | 1.70810i | −1.05886 | + | 0.0767732i | ||||
\(496\) | 12.2212 | − | 37.6129i | 0.548747 | − | 1.68887i | ||||
\(497\) | −3.87003 | − | 2.72839i | −0.173595 | − | 0.122385i | ||||
\(498\) | 0.868438 | − | 0.630957i | 0.0389156 | − | 0.0282739i | ||||
\(499\) | −0.160617 | − | 0.278196i | −0.00719020 | − | 0.0124538i | 0.862408 | − | 0.506214i | \(-0.168955\pi\) |
−0.869598 | + | 0.493760i | \(0.835622\pi\) | |||||||
\(500\) | −2.40581 | − | 1.71979i | −0.107591 | − | 0.0769111i | ||||
\(501\) | −3.36671 | + | 5.83132i | −0.150414 | + | 0.260524i | ||||
\(502\) | 0.940788 | + | 0.418866i | 0.0419894 | + | 0.0186949i | ||||
\(503\) | −11.8883 | + | 36.5885i | −0.530074 | + | 1.63140i | 0.223984 | + | 0.974593i | \(0.428094\pi\) |
−0.754058 | + | 0.656808i | \(0.771906\pi\) | |||||||
\(504\) | 3.96575 | − | 43.7114i | 0.176648 | − | 1.94706i | ||||
\(505\) | −0.403133 | + | 0.831955i | −0.0179392 | + | 0.0370215i | ||||
\(506\) | −8.06045 | + | 8.95204i | −0.358331 | + | 0.397967i | ||||
\(507\) | 10.2801 | − | 17.8057i | 0.456557 | − | 0.790780i | ||||
\(508\) | 5.02612 | + | 1.06834i | 0.222998 | + | 0.0473997i | ||||
\(509\) | −1.46373 | + | 13.9265i | −0.0648788 | + | 0.617280i | 0.912979 | + | 0.408008i | \(0.133776\pi\) |
−0.977857 | + | 0.209273i | \(0.932890\pi\) | |||||||
\(510\) | 3.53959 | + | 19.7771i | 0.156735 | + | 0.875747i | ||||
\(511\) | 10.1338 | + | 2.00360i | 0.448291 | + | 0.0886340i | ||||
\(512\) | 13.4787 | + | 9.79287i | 0.595682 | + | 0.432788i | ||||
\(513\) | 4.87469 | − | 46.3796i | 0.215223 | − | 2.04771i | ||||
\(514\) | −2.99970 | − | 28.5402i | −0.132311 | − | 1.25886i | ||||
\(515\) | 10.0392 | − | 2.90658i | 0.442379 | − | 0.128079i | ||||
\(516\) | 0.426926 | − | 4.06193i | 0.0187944 | − | 0.178817i | ||||
\(517\) | −5.66696 | − | 17.4411i | −0.249233 | − | 0.767059i | ||||
\(518\) | 26.7251 | + | 28.8443i | 1.17423 | + | 1.26735i | ||||
\(519\) | −7.09416 | − | 21.8336i | −0.311399 | − | 0.958388i | ||||
\(520\) | −3.50305 | + | 14.2051i | −0.153619 | + | 0.622936i | ||||
\(521\) | 6.94338 | + | 7.71141i | 0.304195 | + | 0.337843i | 0.875789 | − | 0.482694i | \(-0.160341\pi\) |
−0.571594 | + | 0.820536i | \(0.693675\pi\) | |||||||
\(522\) | 17.2677 | + | 19.1777i | 0.755787 | + | 0.839386i | ||||
\(523\) | 22.4543 | + | 9.99730i | 0.981858 | + | 0.437151i | 0.833944 | − | 0.551849i | \(-0.186078\pi\) |
0.147914 | + | 0.989000i | \(0.452744\pi\) | |||||||
\(524\) | −1.17818 | −0.0514691 | ||||||||
\(525\) | 33.8861 | − | 22.0985i | 1.47891 | − | 0.964459i | ||||
\(526\) | 26.3472 | 1.14879 | ||||||||
\(527\) | −15.8198 | − | 7.04344i | −0.689123 | − | 0.306817i | ||||
\(528\) | −15.1735 | − | 16.8519i | −0.660343 | − | 0.733386i | ||||
\(529\) | 0.115144 | + | 0.127880i | 0.00500624 | + | 0.00555999i | ||||
\(530\) | 6.95188 | + | 17.0802i | 0.301970 | + | 0.741917i | ||||
\(531\) | −22.7504 | − | 70.0184i | −0.987281 | − | 3.03854i | ||||
\(532\) | −0.940593 | + | 3.04157i | −0.0407799 | + | 0.131869i | ||||
\(533\) | −2.05336 | − | 6.31960i | −0.0889410 | − | 0.273732i | ||||
\(534\) | −4.47086 | + | 42.5374i | −0.193473 | + | 1.84077i | ||||
\(535\) | −8.79138 | − | 12.9619i | −0.380085 | − | 0.560392i | ||||
\(536\) | 1.42637 | + | 13.5710i | 0.0616098 | + | 0.586178i | ||||
\(537\) | −7.81217 | + | 74.3279i | −0.337120 | + | 3.20748i | ||||
\(538\) | −30.7096 | − | 22.3118i | −1.32399 | − | 0.961932i | ||||
\(539\) | −5.53085 | + | 10.2428i | −0.238231 | + | 0.441187i | ||||
\(540\) | 6.00623 | + | 0.828412i | 0.258467 | + | 0.0356492i | ||||
\(541\) | −2.47503 | + | 23.5483i | −0.106410 | + | 1.01242i | 0.802847 | + | 0.596185i | \(0.203317\pi\) |
−0.909257 | + | 0.416235i | \(0.863349\pi\) | |||||||
\(542\) | −16.7522 | − | 3.56079i | −0.719569 | − | 0.152949i | ||||
\(543\) | 35.7080 | − | 61.8481i | 1.53238 | − | 2.65416i | ||||
\(544\) | −1.94253 | + | 2.15740i | −0.0832854 | + | 0.0924978i | ||||
\(545\) | −32.8812 | + | 17.5916i | −1.40848 | + | 0.753541i | ||||
\(546\) | 24.9313 | + | 17.5767i | 1.06696 | + | 0.752212i | ||||
\(547\) | −2.88556 | + | 8.88085i | −0.123378 | + | 0.379718i | −0.993602 | − | 0.112938i | \(-0.963974\pi\) |
0.870224 | + | 0.492656i | \(0.163974\pi\) | |||||||
\(548\) | −0.538152 | − | 0.239601i | −0.0229887 | − | 0.0102352i | ||||
\(549\) | 6.93273 | − | 12.0078i | 0.295882 | − | 0.512482i | ||||
\(550\) | 2.10948 | − | 12.3332i | 0.0899484 | − | 0.525888i | ||||
\(551\) | 6.14091 | + | 10.6364i | 0.261612 | + | 0.453125i | ||||
\(552\) | −31.1031 | + | 22.5977i | −1.32384 | + | 0.961824i | ||||
\(553\) | 1.51655 | − | 16.7157i | 0.0644901 | − | 0.710825i | ||||
\(554\) | −0.209444 | + | 0.644602i | −0.00889842 | + | 0.0273865i | ||||
\(555\) | 51.6246 | − | 43.5444i | 2.19134 | − | 1.84836i | ||||
\(556\) | 4.55772 | + | 0.968774i | 0.193290 | + | 0.0410852i | ||||
\(557\) | −1.47150 | + | 2.54871i | −0.0623493 | + | 0.107992i | −0.895515 | − | 0.445031i | \(-0.853193\pi\) |
0.833166 | + | 0.553023i | \(0.186526\pi\) | |||||||
\(558\) | −56.7286 | + | 63.0035i | −2.40151 | + | 2.66715i | ||||
\(559\) | −10.2342 | − | 7.43556i | −0.432859 | − | 0.314491i | ||||
\(560\) | 24.9373 | + | 8.60463i | 1.05379 | + | 0.363612i | ||||
\(561\) | −8.03295 | + | 5.83628i | −0.339151 | + | 0.246408i | ||||
\(562\) | 0.333417 | − | 3.17225i | 0.0140644 | − | 0.133813i | ||||
\(563\) | −21.9206 | + | 9.75968i | −0.923843 | + | 0.411321i | −0.812832 | − | 0.582498i | \(-0.802075\pi\) |
−0.111011 | + | 0.993819i | \(0.535409\pi\) | |||||||
\(564\) | 0.932431 | + | 8.87149i | 0.0392624 | + | 0.373557i | ||||
\(565\) | 1.78930 | + | 1.11171i | 0.0752766 | + | 0.0467699i | ||||
\(566\) | −6.50264 | − | 4.72445i | −0.273326 | − | 0.198583i | ||||
\(567\) | −15.8590 | + | 28.3950i | −0.666017 | + | 1.19248i | ||||
\(568\) | −4.67402 | −0.196117 | ||||||||
\(569\) | −1.77179 | + | 1.96777i | −0.0742774 | + | 0.0824934i | −0.779138 | − | 0.626852i | \(-0.784343\pi\) |
0.704861 | + | 0.709346i | \(0.251010\pi\) | |||||||
\(570\) | 44.0310 | + | 15.8982i | 1.84426 | + | 0.665901i | ||||
\(571\) | 24.1313 | + | 26.8006i | 1.00987 | + | 1.12157i | 0.992565 | + | 0.121719i | \(0.0388406\pi\) |
0.0173007 | + | 0.999850i | \(0.494493\pi\) | |||||||
\(572\) | 1.07793 | − | 0.229122i | 0.0450707 | − | 0.00958007i | ||||
\(573\) | 4.26584 | − | 3.09931i | 0.178208 | − | 0.129476i | ||||
\(574\) | −10.2966 | + | 2.34235i | −0.429771 | + | 0.0977677i | ||||
\(575\) | −23.1700 | − | 6.51543i | −0.966258 | − | 0.271712i | ||||
\(576\) | −21.2179 | − | 36.7505i | −0.884081 | − | 1.53127i | ||||
\(577\) | 0.204495 | + | 1.94564i | 0.00851325 | + | 0.0809982i | 0.997954 | − | 0.0639427i | \(-0.0203675\pi\) |
−0.989440 | + | 0.144941i | \(0.953701\pi\) | |||||||
\(578\) | −13.2792 | − | 14.7481i | −0.552343 | − | 0.613439i | ||||
\(579\) | −12.1724 | + | 2.58733i | −0.505869 | + | 0.107526i | ||||
\(580\) | −1.40794 | + | 0.753256i | −0.0584616 | + | 0.0312772i | ||||
\(581\) | −0.617085 | + | 0.00878901i | −0.0256010 | + | 0.000364629i | ||||
\(582\) | −40.4063 | −1.67489 | ||||||||
\(583\) | −6.09814 | + | 6.77267i | −0.252559 | + | 0.280495i | ||||
\(584\) | 9.31512 | − | 4.14736i | 0.385462 | − | 0.171619i | ||||
\(585\) | 21.8365 | − | 28.0978i | 0.902829 | − | 1.16170i | ||||
\(586\) | −25.9673 | − | 11.5614i | −1.07270 | − | 0.477597i | ||||
\(587\) | 29.8465 | + | 21.6848i | 1.23190 | + | 0.895026i | 0.997031 | − | 0.0770015i | \(-0.0245346\pi\) |
0.234867 | + | 0.972028i | \(0.424535\pi\) | |||||||
\(588\) | 3.66743 | − | 4.31409i | 0.151242 | − | 0.177910i | ||||
\(589\) | −32.6429 | + | 23.7164i | −1.34503 | + | 0.977218i | ||||
\(590\) | 38.8976 | − | 2.82028i | 1.60139 | − | 0.116109i | ||||
\(591\) | −30.5886 | + | 13.6189i | −1.25825 | + | 0.560208i | ||||
\(592\) | 43.0772 | + | 9.15635i | 1.77046 | + | 0.376324i | ||||
\(593\) | −0.175157 | − | 0.303381i | −0.00719284 | − | 0.0124584i | 0.862407 | − | 0.506216i | \(-0.168956\pi\) |
−0.869599 | + | 0.493758i | \(0.835623\pi\) | |||||||
\(594\) | 7.92717 | + | 24.3973i | 0.325256 | + | 1.00103i | ||||
\(595\) | 4.88841 | − | 10.4656i | 0.200405 | − | 0.429046i | ||||
\(596\) | 1.12084 | − | 3.44958i | 0.0459112 | − | 0.141300i | ||||
\(597\) | 17.1318 | − | 3.64148i | 0.701158 | − | 0.149036i | ||||
\(598\) | −1.89703 | − | 18.0490i | −0.0775753 | − | 0.738080i | ||||
\(599\) | −15.3405 | + | 26.5705i | −0.626795 | + | 1.08564i | 0.361396 | + | 0.932412i | \(0.382300\pi\) |
−0.988191 | + | 0.153228i | \(0.951033\pi\) | |||||||
\(600\) | 14.7691 | − | 37.1017i | 0.602944 | − | 1.51467i | ||||
\(601\) | −9.41922 | −0.384218 | −0.192109 | − | 0.981374i | \(-0.561533\pi\) | ||||
−0.192109 | + | 0.981374i | \(0.561533\pi\) | |||||||
\(602\) | −13.2374 | + | 15.1295i | −0.539517 | + | 0.616632i | ||||
\(603\) | 10.2562 | − | 31.5654i | 0.417665 | − | 1.28544i | ||||
\(604\) | 0.284428 | − | 0.0604570i | 0.0115732 | − | 0.00245996i | ||||
\(605\) | −17.6868 | + | 5.12074i | −0.719069 | + | 0.208188i | ||||
\(606\) | 1.86105 | + | 0.395579i | 0.0756001 | + | 0.0160693i | ||||
\(607\) | −11.6815 | − | 20.2329i | −0.474136 | − | 0.821228i | 0.525425 | − | 0.850840i | \(-0.323906\pi\) |
−0.999561 | + | 0.0296115i | \(0.990573\pi\) | |||||||
\(608\) | 2.09025 | + | 6.43314i | 0.0847709 | + | 0.260898i | ||||
\(609\) | −2.59242 | − | 21.6892i | −0.105050 | − | 0.878890i | ||||
\(610\) | 5.29660 | + | 5.08867i | 0.214453 | + | 0.206034i | ||||
\(611\) | 25.2400 | + | 11.2376i | 1.02110 | + | 0.454623i | ||||
\(612\) | 2.99688 | − | 1.33430i | 0.121142 | − | 0.0539358i | ||||
\(613\) | 7.29631 | − | 3.24853i | 0.294695 | − | 0.131207i | −0.254064 | − | 0.967188i | \(-0.581767\pi\) |
0.548759 | + | 0.835981i | \(0.315101\pi\) | |||||||
\(614\) | −0.968645 | − | 0.431268i | −0.0390913 | − | 0.0174046i | ||||
\(615\) | 3.19518 | + | 17.8528i | 0.128842 | + | 0.719894i | ||||
\(616\) | 1.36370 | + | 11.4093i | 0.0549451 | + | 0.459692i | ||||
\(617\) | −0.922217 | − | 2.83829i | −0.0371271 | − | 0.114265i | 0.930775 | − | 0.365592i | \(-0.119133\pi\) |
−0.967902 | + | 0.251326i | \(0.919133\pi\) | |||||||
\(618\) | −10.7548 | − | 18.6279i | −0.432623 | − | 0.749324i | ||||
\(619\) | 2.87634 | + | 0.611384i | 0.115610 | + | 0.0245736i | 0.265353 | − | 0.964151i | \(-0.414511\pi\) |
−0.149743 | + | 0.988725i | \(0.547845\pi\) | |||||||
\(620\) | −2.94456 | − | 4.34142i | −0.118256 | − | 0.174356i | ||||
\(621\) | 48.2677 | − | 10.2596i | 1.93692 | − | 0.411704i | ||||
\(622\) | −4.50485 | + | 13.8645i | −0.180628 | + | 0.555916i | ||||
\(623\) | 16.1922 | − | 18.5067i | 0.648728 | − | 0.741454i | ||||
\(624\) | 34.1638 | 1.36765 | ||||||||
\(625\) | 23.9596 | − | 7.13719i | 0.958382 | − | 0.285487i | ||||
\(626\) | −14.9591 | + | 25.9099i | −0.597885 | + | 1.03557i | ||||
\(627\) | 2.41830 | + | 23.0086i | 0.0965777 | + | 0.918875i | ||||
\(628\) | −2.88633 | + | 0.613508i | −0.115177 | + | 0.0244816i | ||||
\(629\) | 5.95891 | − | 18.3396i | 0.237597 | − | 0.731250i | ||||
\(630\) | −41.3336 | − | 38.5942i | −1.64677 | − | 1.53763i | ||||
\(631\) | −8.98859 | − | 27.6640i | −0.357830 | − | 1.10129i | −0.954350 | − | 0.298690i | \(-0.903450\pi\) |
0.596520 | − | 0.802598i | \(-0.296550\pi\) | |||||||
\(632\) | −8.28392 | − | 14.3482i | −0.329517 | − | 0.570740i | ||||
\(633\) | 70.8906 | + | 15.0683i | 2.81765 | + | 0.598910i | ||||
\(634\) | −7.38695 | + | 3.28888i | −0.293373 | + | 0.130618i | ||||
\(635\) | −33.2041 | + | 28.0070i | −1.31766 | + | 1.11142i | ||||
\(636\) | 3.58640 | − | 2.60567i | 0.142210 | − | 0.103322i | ||||
\(637\) | −5.89221 | − | 16.5181i | −0.233458 | − | 0.654469i | ||||
\(638\) | −5.46567 | − | 3.97104i | −0.216388 | − | 0.157215i | ||||
\(639\) | 10.3855 | + | 4.62392i | 0.410844 | + | 0.182920i | ||||
\(640\) | 27.9800 | − | 8.10088i | 1.10601 | − | 0.320215i | ||||
\(641\) | 19.6013 | − | 8.72706i | 0.774205 | − | 0.344698i | 0.0186862 | − | 0.999825i | \(-0.494052\pi\) |
0.755519 | + | 0.655127i | \(0.227385\pi\) | |||||||
\(642\) | −21.5683 | + | 23.9540i | −0.851232 | + | 0.945388i | ||||
\(643\) | 43.6085 | 1.71975 | 0.859876 | − | 0.510503i | \(-0.170541\pi\) | ||||
0.859876 | + | 0.510503i | \(0.170541\pi\) | |||||||
\(644\) | −3.36842 | + | 0.0479757i | −0.132734 | + | 0.00189051i | ||||
\(645\) | 24.8984 | + | 23.9210i | 0.980374 | + | 0.941888i | ||||
\(646\) | 13.0743 | − | 2.77902i | 0.514401 | − | 0.109339i | ||||
\(647\) | −25.0513 | − | 27.8223i | −0.984868 | − | 1.09381i | −0.995585 | − | 0.0938637i | \(-0.970078\pi\) |
0.0107175 | − | 0.999943i | \(-0.496588\pi\) | |||||||
\(648\) | 3.35578 | + | 31.9281i | 0.131828 | + | 1.25426i | ||||
\(649\) | 9.63692 | + | 16.6916i | 0.378282 | + | 0.655204i | ||||
\(650\) | 11.6817 | + | 14.7948i | 0.458194 | + | 0.580299i | ||||
\(651\) | 69.9737 | − | 15.9182i | 2.74248 | − | 0.623882i | ||||
\(652\) | 0.0889103 | − | 0.0645971i | 0.00348199 | − | 0.00252982i | ||||
\(653\) | 45.9381 | − | 9.76445i | 1.79770 | − | 0.382112i | 0.816844 | − | 0.576859i | \(-0.195722\pi\) |
0.980854 | + | 0.194746i | \(0.0623884\pi\) | |||||||
\(654\) | 51.3540 | + | 57.0344i | 2.00810 | + | 2.23022i | ||||
\(655\) | 6.11182 | − | 7.86428i | 0.238809 | − | 0.307283i | ||||
\(656\) | −7.91346 | + | 8.78879i | −0.308969 | + | 0.343145i | ||||
\(657\) | −24.8008 | −0.967570 | ||||||||
\(658\) | 21.4093 | − | 38.3326i | 0.834622 | − | 1.49436i | ||||
\(659\) | −8.77480 | − | 6.37526i | −0.341817 | − | 0.248345i | 0.403611 | − | 0.914931i | \(-0.367755\pi\) |
−0.745428 | + | 0.666586i | \(0.767755\pi\) | |||||||
\(660\) | −2.99998 | + | 0.217515i | −0.116774 | + | 0.00846676i | ||||
\(661\) | −4.59726 | − | 43.7400i | −0.178813 | − | 1.70129i | −0.604651 | − | 0.796490i | \(-0.706687\pi\) |
0.425838 | − | 0.904799i | \(-0.359979\pi\) | |||||||
\(662\) | −10.4546 | + | 4.65470i | −0.406331 | + | 0.180910i | ||||
\(663\) | 1.56366 | − | 14.8772i | 0.0607276 | − | 0.577784i | ||||
\(664\) | −0.492841 | + | 0.358070i | −0.0191260 | + | 0.0138958i | ||||
\(665\) | −15.4229 | − | 22.0565i | −0.598076 | − | 0.855316i | ||||
\(666\) | −76.3769 | − | 55.4911i | −2.95954 | − | 2.15024i | ||||
\(667\) | −8.69588 | + | 9.65775i | −0.336706 | + | 0.373950i | ||||
\(668\) | −0.291199 | + | 0.504372i | −0.0112668 | + | 0.0195147i | ||||
\(669\) | −31.6307 | − | 6.72331i | −1.22291 | − | 0.259938i | ||||
\(670\) | 14.9339 | + | 9.27857i | 0.576949 | + | 0.358463i | ||||
\(671\) | −1.12171 | + | 3.45226i | −0.0433030 | + | 0.133273i | ||||
\(672\) | 1.08699 | − | 11.9811i | 0.0419317 | − | 0.462181i | ||||
\(673\) | −24.7093 | + | 17.9523i | −0.952472 | + | 0.692011i | −0.951390 | − | 0.307988i | \(-0.900344\pi\) |
−0.00108177 | + | 0.999999i | \(0.500344\pi\) | |||||||
\(674\) | −25.0542 | − | 43.3951i | −0.965050 | − | 1.67152i | ||||
\(675\) | −36.6869 | + | 35.7937i | −1.41208 | + | 1.37770i | ||||
\(676\) | 0.889167 | − | 1.54008i | 0.0341987 | − | 0.0592339i | ||||
\(677\) | −27.9610 | − | 12.4491i | −1.07463 | − | 0.478456i | −0.208370 | − | 0.978050i | \(-0.566816\pi\) |
−0.866260 | + | 0.499594i | \(0.833483\pi\) | |||||||
\(678\) | 1.33970 | − | 4.12317i | 0.0514509 | − | 0.158350i | ||||
\(679\) | 18.9863 | + | 13.3854i | 0.728628 | + | 0.513686i | ||||
\(680\) | −2.00873 | − | 11.2236i | −0.0770311 | − | 0.430405i | ||||
\(681\) | −52.3838 | + | 58.1781i | −2.00735 | + | 2.22939i | ||||
\(682\) | 11.0975 | − | 19.2214i | 0.424944 | − | 0.736024i | ||||
\(683\) | 1.67924 | + | 0.356933i | 0.0642543 | + | 0.0136577i | 0.239927 | − | 0.970791i | \(-0.422877\pi\) |
−0.175672 | + | 0.984449i | \(0.556210\pi\) | |||||||
\(684\) | 0.798974 | − | 7.60173i | 0.0305495 | − | 0.290659i | ||||
\(685\) | 4.39098 | − | 2.34919i | 0.167771 | − | 0.0897581i | ||||
\(686\) | −26.9884 | + | 6.95355i | −1.03042 | + | 0.265488i | ||||
\(687\) | 6.42130 | + | 4.66535i | 0.244988 | + | 0.177994i | ||||
\(688\) | −2.35344 | + | 22.3914i | −0.0897239 | + | 0.853666i | ||||
\(689\) | −1.43520 | − | 13.6550i | −0.0546767 | − | 0.520214i | ||||
\(690\) | −1.60172 | + | 49.5087i | −0.0609764 | + | 1.88476i | ||||
\(691\) | 0.0163009 | − | 0.155093i | 0.000620117 | − | 0.00590002i | −0.994207 | − | 0.107478i | \(-0.965722\pi\) |
0.994828 | + | 0.101578i | \(0.0323891\pi\) | |||||||
\(692\) | −0.613600 | − | 1.88847i | −0.0233256 | − | 0.0717888i | ||||
\(693\) | 8.25688 | − | 26.7001i | 0.313653 | − | 1.01425i | ||||
\(694\) | −0.252188 | − | 0.776156i | −0.00957294 | − | 0.0294625i | ||||
\(695\) | −30.1097 | + | 25.3969i | −1.14213 | + | 0.963361i | ||||
\(696\) | −14.4276 | − | 16.0235i | −0.546878 | − | 0.607369i | ||||
\(697\) | 3.46504 | + | 3.84831i | 0.131248 | + | 0.145765i | ||||
\(698\) | 17.2334 | + | 7.67280i | 0.652294 | + | 0.290420i | ||||
\(699\) | −1.63486 | −0.0618361 | ||||||||
\(700\) | 2.93094 | − | 1.91138i | 0.110779 | − | 0.0722435i | ||||
\(701\) | 28.2201 | 1.06586 | 0.532929 | − | 0.846160i | \(-0.321091\pi\) | ||||
0.532929 | + | 0.846160i | \(0.321091\pi\) | |||||||
\(702\) | −35.3067 | − | 15.7195i | −1.33256 | − | 0.593296i | ||||
\(703\) | −30.0645 | − | 33.3900i | −1.13391 | − | 1.25933i | ||||
\(704\) | 7.43372 | + | 8.25599i | 0.280169 | + | 0.311159i | ||||
\(705\) | −64.0535 | − | 39.7969i | −2.41239 | − | 1.49884i | ||||
\(706\) | −2.36541 | − | 7.28000i | −0.0890235 | − | 0.273986i | ||||
\(707\) | −0.743439 | − | 0.802391i | −0.0279599 | − | 0.0301770i | ||||
\(708\) | −2.89711 | − | 8.91638i | −0.108880 | − | 0.335098i | ||||
\(709\) | −1.74930 | + | 16.6435i | −0.0656963 | + | 0.625059i | 0.911291 | + | 0.411762i | \(0.135087\pi\) |
−0.976988 | + | 0.213296i | \(0.931580\pi\) | |||||||
\(710\) | −3.69543 | + | 4.75503i | −0.138687 | + | 0.178453i | ||||
\(711\) | 4.21219 | + | 40.0763i | 0.157969 | + | 1.50298i | ||||
\(712\) | 2.53723 | − | 24.1401i | 0.0950867 | − | 0.904690i | ||||
\(713\) | −34.5404 | − | 25.0951i | −1.29355 | − | 0.939819i | ||||
\(714\) | −23.3210 | − | 4.61092i | −0.872767 | − | 0.172559i | ||||
\(715\) | −4.06241 | + | 8.38370i | −0.151926 | + | 0.313533i | ||||
\(716\) | −0.675704 | + | 6.42889i | −0.0252522 | + | 0.240259i | ||||
\(717\) | 57.9186 | + | 12.3110i | 2.16301 | + | 0.459762i | ||||
\(718\) | −6.18037 | + | 10.7047i | −0.230649 | + | 0.399496i | ||||
\(719\) | −32.9911 | + | 36.6403i | −1.23036 | + | 1.36645i | −0.322834 | + | 0.946456i | \(0.604635\pi\) |
−0.907526 | + | 0.419997i | \(0.862031\pi\) | |||||||
\(720\) | −62.7411 | − | 8.65360i | −2.33822 | − | 0.322500i | ||||
\(721\) | −1.11735 | + | 12.3158i | −0.0416125 | + | 0.458663i | ||||
\(722\) | 0.788649 | − | 2.42721i | 0.0293505 | − | 0.0903315i | ||||
\(723\) | −20.6822 | − | 9.20833i | −0.769181 | − | 0.342461i | ||||
\(724\) | 3.08852 | − | 5.34947i | 0.114784 | − | 0.198812i | ||||
\(725\) | 2.27577 | − | 13.3054i | 0.0845201 | − | 0.494151i | ||||
\(726\) | 18.9476 | + | 32.8182i | 0.703211 | + | 1.21800i | ||||
\(727\) | 31.1301 | − | 22.6174i | 1.15455 | − | 0.838832i | 0.165474 | − | 0.986214i | \(-0.447085\pi\) |
0.989080 | + | 0.147382i | \(0.0470847\pi\) | |||||||
\(728\) | −14.1486 | − | 9.97482i | −0.524382 | − | 0.369691i | ||||
\(729\) | −4.93264 | + | 15.1811i | −0.182690 | + | 0.562263i | ||||
\(730\) | 3.14559 | − | 12.7556i | 0.116424 | − | 0.472106i | ||||
\(731\) | 9.64303 | + | 2.04969i | 0.356660 | + | 0.0758105i | ||||
\(732\) | 0.882838 | − | 1.52912i | 0.0326306 | − | 0.0565179i | ||||
\(733\) | 14.5078 | − | 16.1125i | 0.535856 | − | 0.595129i | −0.413041 | − | 0.910712i | \(-0.635534\pi\) |
0.948898 | + | 0.315583i | \(0.102200\pi\) | |||||||
\(734\) | −23.2930 | − | 16.9234i | −0.859762 | − | 0.624654i | ||||
\(735\) | 9.77146 | + | 46.8592i | 0.360426 | + | 1.72843i | ||||
\(736\) | −5.79047 | + | 4.20702i | −0.213440 | + | 0.155073i | ||||
\(737\) | −0.908242 | + | 8.64134i | −0.0334555 | + | 0.318308i | ||||
\(738\) | 23.1604 | − | 10.3117i | 0.852547 | − | 0.379579i | ||||
\(739\) | 0.550384 | + | 5.23656i | 0.0202462 | + | 0.192630i | 0.999970 | − | 0.00772218i | \(-0.00245807\pi\) |
−0.979724 | + | 0.200352i | \(0.935791\pi\) | |||||||
\(740\) | 4.46520 | − | 3.76631i | 0.164144 | − | 0.138452i | ||||
\(741\) | −28.1984 | − | 20.4873i | −1.03589 | − | 0.752621i | ||||
\(742\) | −21.8172 | + | 0.310738i | −0.800935 | + | 0.0114075i | ||||
\(743\) | 8.08769 | 0.296709 | 0.148354 | − | 0.988934i | \(-0.452602\pi\) | ||||
0.148354 | + | 0.988934i | \(0.452602\pi\) | |||||||
\(744\) | 47.3983 | − | 52.6411i | 1.73771 | − | 1.92992i | ||||
\(745\) | 17.2113 | + | 25.3762i | 0.630574 | + | 0.929711i | ||||
\(746\) | −24.6399 | − | 27.3654i | −0.902130 | − | 1.00192i | ||||
\(747\) | 1.44931 | − | 0.308060i | 0.0530274 | − | 0.0112713i | ||||
\(748\) | −0.694799 | + | 0.504801i | −0.0254044 | + | 0.0184574i | ||||
\(749\) | 18.0699 | − | 4.11069i | 0.660260 | − | 0.150201i | ||||
\(750\) | −26.0678 | − | 44.3588i | −0.951863 | − | 1.61975i | ||||
\(751\) | 3.53280 | + | 6.11898i | 0.128914 | + | 0.223285i | 0.923256 | − | 0.384185i | \(-0.125518\pi\) |
−0.794342 | + | 0.607470i | \(0.792184\pi\) | |||||||
\(752\) | −5.14003 | − | 48.9042i | −0.187438 | − | 1.78335i | ||||
\(753\) | 1.40036 | + | 1.55526i | 0.0510320 | + | 0.0566767i | ||||
\(754\) | 9.95592 | − | 2.11620i | 0.362573 | − | 0.0770673i | ||||
\(755\) | −1.07192 | + | 2.21216i | −0.0390113 | + | 0.0805086i | ||||
\(756\) | −3.49813 | + | 6.26327i | −0.127226 | + | 0.227793i | ||||
\(757\) | 21.6894 | 0.788316 | 0.394158 | − | 0.919043i | \(-0.371036\pi\) | ||||
0.394158 | + | 0.919043i | \(0.371036\pi\) | |||||||
\(758\) | −0.426459 | + | 0.473631i | −0.0154897 | + | 0.0172030i | ||||
\(759\) | −22.3638 | + | 9.95701i | −0.811755 | + | 0.361417i | ||||
\(760\) | −24.9877 | − | 9.02226i | −0.906401 | − | 0.327272i | ||||
\(761\) | 0.266359 | + | 0.118591i | 0.00965552 | + | 0.00429891i | 0.411559 | − | 0.911383i | \(-0.364985\pi\) |
−0.401903 | + | 0.915682i | \(0.631651\pi\) | |||||||
\(762\) | 72.3250 | + | 52.5472i | 2.62006 | + | 1.90358i | ||||
\(763\) | −5.23664 | − | 43.8117i | −0.189579 | − | 1.58609i | ||||
\(764\) | 0.368968 | − | 0.268071i | 0.0133488 | − | 0.00969847i | ||||
\(765\) | −6.63999 | + | 26.9256i | −0.240069 | + | 0.973498i | ||||
\(766\) | 39.2258 | − | 17.4644i | 1.41728 | − | 0.631016i | ||||
\(767\) | −28.4030 | − | 6.03723i | −1.02557 | − | 0.217992i | ||||
\(768\) | −9.54447 | − | 16.5315i | −0.344406 | − | 0.596529i | ||||
\(769\) | 1.35263 | + | 4.16297i | 0.0487772 | + | 0.150121i | 0.972478 | − | 0.232993i | \(-0.0748518\pi\) |
−0.923701 | + | 0.383113i | \(0.874852\pi\) | |||||||
\(770\) | 12.6852 | + | 7.63319i | 0.457142 | + | 0.275081i | ||||
\(771\) | 18.0216 | − | 55.4647i | 0.649032 | − | 1.99751i | ||||
\(772\) | −1.05284 | + | 0.223788i | −0.0378925 | + | 0.00805431i | ||||
\(773\) | 0.337761 | + | 3.21358i | 0.0121484 | + | 0.115584i | 0.998916 | − | 0.0465597i | \(-0.0148258\pi\) |
−0.986767 | + | 0.162144i | \(0.948159\pi\) | |||||||
\(774\) | 24.1323 | − | 41.7984i | 0.867418 | − | 1.50241i | ||||
\(775\) | 44.2536 | + | 2.86641i | 1.58964 | + | 0.102964i | ||||
\(776\) | 22.9307 | 0.823163 | ||||||||
\(777\) | 25.7736 | + | 75.6401i | 0.924621 | + | 2.71357i | ||||
\(778\) | 2.19722 | − | 6.76234i | 0.0787741 | − | 0.242442i | ||||
\(779\) | 11.8021 | − | 2.50862i | 0.422855 | − | 0.0898806i | ||||
\(780\) | 2.78074 | − | 3.57807i | 0.0995664 | − | 0.128115i | ||||
\(781\) | −2.91115 | − | 0.618784i | −0.104169 | − | 0.0221418i | ||||
\(782\) | 7.07169 | + | 12.2485i | 0.252883 | + | 0.438006i | ||||
\(783\) | 8.55209 | + | 26.3206i | 0.305627 | + | 0.940623i | ||||
\(784\) | −20.2167 | + | 23.7815i | −0.722026 | + | 0.849338i | ||||
\(785\) | 10.8777 | − | 22.4486i | 0.388242 | − | 0.801225i | ||||
\(786\) | −18.7260 | − | 8.33735i | −0.667934 | − | 0.297384i | ||||
\(787\) | −27.9747 | + | 12.4552i | −0.997191 | + | 0.443978i | −0.839412 | − | 0.543496i | \(-0.817100\pi\) |
−0.157780 | + | 0.987474i | \(0.550434\pi\) | |||||||
\(788\) | −2.64572 | + | 1.17795i | −0.0942500 | + | 0.0419628i | ||||
\(789\) | 48.9139 | + | 21.7779i | 1.74138 | + | 0.775313i | ||||
\(790\) | −21.1464 | − | 2.91663i | −0.752355 | − | 0.103769i | ||||
\(791\) | −1.99540 | + | 1.49362i | −0.0709482 | + | 0.0531069i | ||||
\(792\) | −8.52487 | − | 26.2368i | −0.302918 | − | 0.932285i | ||||
\(793\) | −2.73437 | − | 4.73607i | −0.0971004 | − | 0.168183i | ||||
\(794\) | −18.4000 | − | 3.91104i | −0.652992 | − | 0.138798i | ||||
\(795\) | −1.21178 | + | 37.4558i | −0.0429775 | + | 1.32842i | ||||
\(796\) | 1.48179 | − | 0.314965i | 0.0525208 | − | 0.0111636i | ||||
\(797\) | 12.9372 | − | 39.8167i | 0.458261 | − | 1.41038i | −0.409003 | − | 0.912533i | \(-0.634124\pi\) |
0.867264 | − | 0.497849i | \(-0.165876\pi\) | |||||||
\(798\) | −36.4733 | + | 41.6866i | −1.29114 | + | 1.47569i | ||||
\(799\) | −21.5314 | −0.761727 | ||||||||
\(800\) | 2.74955 | − | 6.90722i | 0.0972114 | − | 0.244207i | ||||
\(801\) | −29.5190 | + | 51.1285i | −1.04300 | + | 1.80654i | ||||
\(802\) | −1.71981 | − | 16.3629i | −0.0607285 | − | 0.577793i | ||||
\(803\) | 6.35085 | − | 1.34992i | 0.224117 | − | 0.0476375i | ||||
\(804\) | 1.30606 | − | 4.01964i | 0.0460612 | − | 0.141762i | ||||
\(805\) | 17.1535 | − | 22.7328i | 0.604580 | − | 0.801227i | ||||
\(806\) | 10.3330 | + | 31.8018i | 0.363965 | + | 1.12017i | ||||
\(807\) | −38.5704 | − | 66.8059i | −1.35774 | − | 2.35168i | ||||
\(808\) | −1.05615 | − | 0.224492i | −0.0371554 | − | 0.00789762i | ||||
\(809\) | 48.4821 | − | 21.5856i | 1.70454 | − | 0.758910i | 0.705817 | − | 0.708395i | \(-0.250580\pi\) |
0.998723 | − | 0.0505154i | \(-0.0160864\pi\) | |||||||
\(810\) | 35.1347 | + | 21.8295i | 1.23451 | + | 0.767009i | ||||
\(811\) | 11.4667 | − | 8.33105i | 0.402650 | − | 0.292543i | −0.367969 | − | 0.929838i | \(-0.619947\pi\) |
0.770620 | + | 0.637295i | \(0.219947\pi\) | |||||||
\(812\) | −0.224228 | − | 1.87598i | −0.00786886 | − | 0.0658339i | ||||
\(813\) | −28.1574 | − | 20.4576i | −0.987523 | − | 0.717478i | ||||
\(814\) | 22.5786 | + | 10.0526i | 0.791379 | + | 0.352345i | ||||
\(815\) | −0.0300413 | + | 0.928567i | −0.00105230 | + | 0.0325263i | ||||
\(816\) | −24.3226 | + | 10.8291i | −0.851463 | + | 0.379096i | ||||
\(817\) | 15.3702 | − | 17.0703i | 0.537734 | − | 0.597215i | ||||
\(818\) | 35.6134 | 1.24519 | ||||||||
\(819\) | 21.5698 | + | 36.1606i | 0.753708 | + | 1.26356i | ||||
\(820\) | 0.276363 | + | 1.54415i | 0.00965100 | + | 0.0539242i | ||||
\(821\) | 0.869300 | − | 0.184775i | 0.0303388 | − | 0.00644871i | −0.192717 | − | 0.981254i | \(-0.561730\pi\) |
0.223056 | + | 0.974806i | \(0.428397\pi\) | |||||||
\(822\) | −6.85785 | − | 7.61641i | −0.239195 | − | 0.265653i | ||||
\(823\) | −2.60127 | − | 24.7495i | −0.0906747 | − | 0.862713i | −0.941443 | − | 0.337172i | \(-0.890530\pi\) |
0.850768 | − | 0.525541i | \(-0.176137\pi\) | |||||||
\(824\) | 6.10340 | + | 10.5714i | 0.212622 | + | 0.368272i | ||||
\(825\) | 14.1105 | − | 21.1530i | 0.491265 | − | 0.736454i | ||||
\(826\) | −13.6332 | + | 44.0852i | −0.474358 | + | 1.53392i | ||||
\(827\) | −36.9670 | + | 26.8581i | −1.28547 | + | 0.933947i | −0.999703 | − | 0.0243524i | \(-0.992248\pi\) |
−0.285765 | + | 0.958300i | \(0.592248\pi\) | |||||||
\(828\) | 7.91120 | − | 1.68158i | 0.274933 | − | 0.0584389i | ||||
\(829\) | 3.87867 | + | 4.30770i | 0.134712 | + | 0.149613i | 0.806726 | − | 0.590926i | \(-0.201237\pi\) |
−0.672014 | + | 0.740538i | \(0.734571\pi\) | |||||||
\(830\) | −0.0253799 | + | 0.784485i | −0.000880949 | + | 0.0272299i | ||||
\(831\) | −0.921645 | + | 1.02359i | −0.0319715 | + | 0.0355079i | ||||
\(832\) | −16.7373 | −0.580263 | ||||||||
\(833\) | 9.43074 | + | 9.89219i | 0.326756 | + | 0.342744i | ||||
\(834\) | 65.5848 | + | 47.6502i | 2.27102 | + | 1.64999i | ||||
\(835\) | −1.85605 | − | 4.56017i | −0.0642313 | − | 0.157811i | ||||
\(836\) | 0.209168 | + | 1.99010i | 0.00723423 | + | 0.0688291i | ||||
\(837\) | −83.0592 | + | 36.9803i | −2.87095 | + | 1.27823i | ||||
\(838\) | −2.64845 | + | 25.1983i | −0.0914892 | + | 0.870462i | ||||
\(839\) | 20.5929 | − | 14.9616i | 0.710946 | − | 0.516533i | −0.172533 | − | 0.985004i | \(-0.555195\pi\) |
0.883479 | + | 0.468471i | \(0.155195\pi\) | |||||||
\(840\) | 34.5353 | + | 32.2464i | 1.19158 | + | 1.11261i | ||||
\(841\) | 17.5649 | + | 12.7617i | 0.605688 | + | 0.440058i | ||||
\(842\) | −20.2750 | + | 22.5177i | −0.698723 | + | 0.776010i | ||||
\(843\) | 3.24109 | − | 5.61373i | 0.111629 | − | 0.193347i | ||||
\(844\) | 6.13159 | + | 1.30331i | 0.211058 | + | 0.0448618i | ||||
\(845\) | 5.66738 | + | 13.9243i | 0.194964 | + | 0.479011i | ||||
\(846\) | −32.5743 | + | 100.253i | −1.11993 | + | 3.44678i | ||||
\(847\) | 1.96853 | − | 21.6976i | 0.0676394 | − | 0.745538i | ||||
\(848\) | −19.7700 | + | 14.3638i | −0.678906 | + | 0.493254i | ||||
\(849\) | −8.16713 | − | 14.1459i | −0.280295 | − | 0.485486i | ||||
\(850\) | −13.0063 | − | 6.83019i | −0.446112 | − | 0.234274i | ||||
\(851\) | 23.7713 | − | 41.1731i | 0.814870 | − | 1.41140i | ||||
\(852\) | 1.32253 | + | 0.588826i | 0.0453090 | + | 0.0201729i | ||||
\(853\) | −8.62045 | + | 26.5310i | −0.295159 | + | 0.908405i | 0.688010 | + | 0.725702i | \(0.258485\pi\) |
−0.983168 | + | 0.182703i | \(0.941515\pi\) | |||||||
\(854\) | −7.88819 | + | 3.64753i | −0.269928 | + | 0.124816i | ||||
\(855\) | 46.5963 | + | 44.7671i | 1.59356 | + | 1.53100i | ||||
\(856\) | 12.2401 | − | 13.5940i | 0.418357 | − | 0.464632i | ||||
\(857\) | −23.7838 | + | 41.1947i | −0.812438 | + | 1.40718i | 0.0987143 | + | 0.995116i | \(0.468527\pi\) |
−0.911153 | + | 0.412069i | \(0.864806\pi\) | |||||||
\(858\) | 18.7540 | + | 3.98629i | 0.640252 | + | 0.136090i | ||||
\(859\) | 3.70441 | − | 35.2451i | 0.126393 | − | 1.20255i | −0.728981 | − | 0.684534i | \(-0.760006\pi\) |
0.855373 | − | 0.518012i | \(-0.173328\pi\) | |||||||
\(860\) | 2.15356 | + | 2.06901i | 0.0734357 | + | 0.0705528i | ||||
\(861\) | −21.0518 | − | 4.16226i | −0.717444 | − | 0.141850i | ||||
\(862\) | 32.1656 | + | 23.3697i | 1.09556 | + | 0.795975i | ||||
\(863\) | −4.30256 | + | 40.9361i | −0.146461 | + | 1.39348i | 0.636436 | + | 0.771330i | \(0.280408\pi\) |
−0.782896 | + | 0.622152i | \(0.786259\pi\) | |||||||
\(864\) | 1.59323 | + | 15.1586i | 0.0542027 | + | 0.515705i | ||||
\(865\) | 15.7884 | + | 5.70069i | 0.536823 | + | 0.193829i | ||||
\(866\) | 2.47453 | − | 23.5436i | 0.0840881 | − | 0.800045i | ||||
\(867\) | −12.4627 | − | 38.3562i | −0.423255 | − | 1.30264i | ||||
\(868\) | 6.05228 | − | 1.37682i | 0.205428 | − | 0.0467324i | ||||
\(869\) | −3.26000 | − | 10.0333i | −0.110588 | − | 0.340355i | ||||
\(870\) | −27.7082 | + | 2.00899i | −0.939395 | + | 0.0681112i | ||||
\(871\) | −8.75929 | − | 9.72817i | −0.296797 | − | 0.329627i | ||||
\(872\) | −29.1435 | − | 32.3672i | −0.986925 | − | 1.09609i | ||||
\(873\) | −50.9512 | − | 22.6849i | −1.72444 | − | 0.767768i | ||||
\(874\) | 32.9543 | 1.11470 | ||||||||
\(875\) | −2.44590 | + | 29.4791i | −0.0826867 | + | 0.996576i | ||||
\(876\) | −3.15822 | −0.106706 | ||||||||
\(877\) | −12.8871 | − | 5.73771i | −0.435166 | − | 0.193749i | 0.177449 | − | 0.984130i | \(-0.443216\pi\) |
−0.612615 | + | 0.790382i | \(0.709882\pi\) | |||||||
\(878\) | −18.0171 | − | 20.0100i | −0.608046 | − | 0.675304i | ||||
\(879\) | −38.6523 | − | 42.9277i | −1.30371 | − | 1.44792i | ||||
\(880\) | 16.5374 | − | 1.19905i | 0.557477 | − | 0.0404201i | ||||
\(881\) | 8.83704 | + | 27.1976i | 0.297727 | + | 0.916311i | 0.982292 | + | 0.187358i | \(0.0599926\pi\) |
−0.684564 | + | 0.728953i | \(0.740007\pi\) | |||||||
\(882\) | 60.3269 | − | 28.9452i | 2.03131 | − | 0.974637i | ||||
\(883\) | 11.0596 | + | 34.0380i | 0.372186 | + | 1.14547i | 0.945358 | + | 0.326034i | \(0.105713\pi\) |
−0.573172 | + | 0.819435i | \(0.694287\pi\) | |||||||
\(884\) | 0.135247 | − | 1.28679i | 0.00454884 | − | 0.0432794i | ||||
\(885\) | 74.5449 | + | 26.9158i | 2.50580 | + | 0.904763i | ||||
\(886\) | −3.98899 | − | 37.9527i | −0.134013 | − | 1.27505i | ||||
\(887\) | 2.42871 | − | 23.1076i | 0.0815481 | − | 0.775878i | −0.874965 | − | 0.484187i | \(-0.839115\pi\) |
0.956513 | − | 0.291691i | \(-0.0942179\pi\) | |||||||
\(888\) | 63.8149 | + | 46.3643i | 2.14149 | + | 1.55588i | ||||
\(889\) | −16.5771 | − | 48.6504i | −0.555979 | − | 1.63168i | ||||
\(890\) | −22.5525 | − | 21.6672i | −0.755962 | − | 0.726285i | ||||
\(891\) | −2.13680 | + | 20.3303i | −0.0715854 | + | 0.681090i | ||||
\(892\) | −2.73585 | − | 0.581524i | −0.0916032 | − | 0.0194709i | ||||
\(893\) | −25.0843 | + | 43.4472i | −0.839413 | + | 1.45391i | ||||
\(894\) | 42.2253 | − | 46.8959i | 1.41222 | − | 1.56843i | ||||
\(895\) | −39.4072 | − | 37.8602i | −1.31724 | − | 1.26553i | ||||
\(896\) | −3.11416 | + | 34.3250i | −0.104037 | + | 1.14672i | ||||
\(897\) | 11.3970 | − | 35.0762i | 0.380534 | − | 1.17116i | ||||
\(898\) | −20.3705 | − | 9.06952i | −0.679772 | − | 0.302654i | ||||
\(899\) | 11.9723 | − | 20.7366i | 0.399299 | − | 0.691606i | ||||
\(900\) | −6.01307 | + | 5.86668i | −0.200436 | + | 0.195556i | ||||
\(901\) | 5.35009 | + | 9.26663i | 0.178237 | + | 0.308716i | ||||
\(902\) | −5.36953 | + | 3.90120i | −0.178786 | + | 0.129896i | ||||
\(903\) | −37.0810 | + | 17.1464i | −1.23398 | + | 0.570597i | ||||
\(904\) | −0.760284 | + | 2.33991i | −0.0252867 | + | 0.0778244i | ||||
\(905\) | 19.6856 | + | 48.3660i | 0.654373 | + | 1.60774i | ||||
\(906\) | 4.94851 | + | 1.05184i | 0.164403 | + | 0.0349450i | ||||
\(907\) | 7.75627 | − | 13.4343i | 0.257543 | − | 0.446077i | −0.708040 | − | 0.706172i | \(-0.750421\pi\) |
0.965583 | + | 0.260095i | \(0.0837539\pi\) | |||||||
\(908\) | −4.53087 | + | 5.03204i | −0.150362 | + | 0.166994i | ||||
\(909\) | 2.12465 | + | 1.54365i | 0.0704702 | + | 0.0511996i | ||||
\(910\) | −21.3340 | + | 6.50740i | −0.707216 | + | 0.215718i | ||||
\(911\) | −21.6075 | + | 15.6988i | −0.715889 | + | 0.520123i | −0.885068 | − | 0.465462i | \(-0.845888\pi\) |
0.169179 | + | 0.985585i | \(0.445888\pi\) | |||||||
\(912\) | −6.48446 | + | 61.6956i | −0.214722 | + | 2.04294i | ||||
\(913\) | −0.354364 | + | 0.157773i | −0.0117277 | + | 0.00522152i | ||||
\(914\) | 0.252918 | + | 2.40636i | 0.00836580 | + | 0.0795952i | ||||
\(915\) | 5.62704 | + | 13.8252i | 0.186024 | + | 0.457047i | ||||
\(916\) | 0.555402 | + | 0.403523i | 0.0183510 | + | 0.0133328i | ||||
\(917\) | 6.03715 | + | 10.1210i | 0.199364 | + | 0.334225i | ||||
\(918\) | 30.1190 | 0.994075 | ||||||||
\(919\) | 26.1329 | − | 29.0235i | 0.862045 | − | 0.957398i | −0.137406 | − | 0.990515i | \(-0.543877\pi\) |
0.999451 | + | 0.0331165i | \(0.0105432\pi\) | |||||||
\(920\) | 0.908981 | − | 28.0963i | 0.0299682 | − | 0.926309i | ||||
\(921\) | −1.44182 | − | 1.60131i | −0.0475097 | − | 0.0527649i | ||||
\(922\) | 40.6758 | − | 8.64591i | 1.33959 | − | 0.284738i | ||||
\(923\) | 3.62751 | − | 2.63554i | 0.119401 | − | 0.0867498i | ||||
\(924\) | 1.05146 | − | 3.40008i | 0.0345905 | − | 0.111854i | ||||
\(925\) | 1.97663 | + | 49.3427i | 0.0649911 | + | 1.62238i | ||||
\(926\) | 3.54231 | + | 6.13547i | 0.116408 | + | 0.201624i | ||||
\(927\) | −3.10344 | − | 29.5273i | −0.101930 | − | 0.969802i | ||||
\(928\) | −2.68599 | − | 2.98310i | −0.0881720 | − | 0.0979249i | ||||
\(929\) | −33.2808 | + | 7.07405i | −1.09191 | + | 0.232092i | −0.718466 | − | 0.695562i | \(-0.755155\pi\) |
−0.373441 | + | 0.927654i | \(0.621822\pi\) | |||||||
\(930\) | −16.0789 | − | 89.8396i | −0.527248 | − | 2.94595i | ||||
\(931\) | 30.9479 | − | 7.50537i | 1.01428 | − | 0.245979i | ||||
\(932\) | −0.141405 | −0.00463188 | ||||||||
\(933\) | −19.8233 | + | 22.0160i | −0.648986 | + | 0.720772i | ||||
\(934\) | 9.88030 | − | 4.39899i | 0.323293 | − | 0.143939i | ||||
\(935\) | 0.234761 | − | 7.25639i | 0.00767750 | − | 0.237309i | ||||
\(936\) | 37.9687 | + | 16.9048i | 1.24105 | + | 0.552550i | ||||
\(937\) | 6.17967 | + | 4.48979i | 0.201881 | + | 0.146675i | 0.684133 | − | 0.729358i | \(-0.260181\pi\) |
−0.482252 | + | 0.876033i | \(0.660181\pi\) | |||||||
\(938\) | −16.6541 | + | 12.4661i | −0.543774 | + | 0.407032i | ||||
\(939\) | −49.1880 | + | 35.7372i | −1.60519 | + | 1.16624i | ||||
\(940\) | −5.54023 | − | 3.44219i | −0.180702 | − | 0.112272i | ||||
\(941\) | −45.4117 | + | 20.2186i | −1.48038 | + | 0.659108i | −0.978578 | − | 0.205875i | \(-0.933996\pi\) |
−0.501802 | + | 0.864983i | \(0.667329\pi\) | |||||||
\(942\) | −50.2167 | − | 10.6739i | −1.63615 | − | 0.347774i | ||||
\(943\) | 6.38360 | + | 11.0567i | 0.207879 | + | 0.360056i | ||||
\(944\) | 15.9703 | + | 49.1516i | 0.519790 | + | 1.59975i | ||||
\(945\) | −23.6603 | − | 55.8405i | −0.769670 | − | 1.81649i | ||||
\(946\) | −3.90457 | + | 12.0170i | −0.126949 | + | 0.390708i | ||||
\(947\) | 2.62094 | − | 0.557098i | 0.0851692 | − | 0.0181033i | −0.165130 | − | 0.986272i | \(-0.552804\pi\) |
0.250299 | + | 0.968169i | \(0.419471\pi\) | |||||||
\(948\) | 0.536395 | + | 5.10345i | 0.0174213 | + | 0.165752i | ||||
\(949\) | −4.89090 | + | 8.47129i | −0.158765 | + | 0.274990i | ||||
\(950\) | −28.9347 | + | 18.2875i | −0.938767 | + | 0.593326i | ||||
\(951\) | −16.4325 | −0.532859 | ||||||||
\(952\) | 13.2347 | + | 2.61671i | 0.428941 | + | 0.0848081i | ||||
\(953\) | 1.99086 | − | 6.12723i | 0.0644902 | − | 0.198481i | −0.913619 | − | 0.406570i | \(-0.866725\pi\) |
0.978110 | + | 0.208090i | \(0.0667246\pi\) | |||||||
\(954\) | 51.2407 | − | 10.8916i | 1.65898 | − | 0.352627i | ||||
\(955\) | −0.124668 | + | 3.85345i | −0.00403416 | + | 0.124695i | ||||
\(956\) | 5.00959 | + | 1.06482i | 0.162022 | + | 0.0344388i | ||||
\(957\) | −6.86473 | − | 11.8901i | −0.221905 | − | 0.384351i | ||||
\(958\) | −3.68754 | − | 11.3491i | −0.119139 | − | 0.366672i | ||||
\(959\) | 0.699305 | + | 5.85065i | 0.0225817 | + | 0.188927i | ||||
\(960\) | 45.2547 | + | 6.24178i | 1.46059 | + | 0.201453i | ||||
\(961\) | 43.5432 | + | 19.3867i | 1.40462 | + | 0.625376i | ||||
\(962\) | −34.0164 | + | 15.1451i | −1.09673 | + | 0.488296i | ||||
\(963\) | −40.6453 | + | 18.0964i | −1.30978 | + | 0.583149i | ||||
\(964\) | −1.78888 | − | 0.796462i | −0.0576161 | − | 0.0256523i | ||||
\(965\) | 3.96784 | − | 8.18853i | 0.127729 | − | 0.263598i | ||||
\(966\) | −53.8771 | − | 23.0740i | −1.73347 | − | 0.742392i | ||||
\(967\) | −8.60954 | − | 26.4974i | −0.276864 | − | 0.852100i | −0.988720 | − | 0.149775i | \(-0.952145\pi\) |
0.711856 | − | 0.702326i | \(-0.247855\pi\) | |||||||
\(968\) | −10.7528 | − | 18.6244i | −0.345608 | − | 0.598611i | ||||
\(969\) | 26.5696 | + | 5.64755i | 0.853539 | + | 0.181425i | ||||
\(970\) | 18.1297 | − | 23.3281i | 0.582111 | − | 0.749021i | ||||
\(971\) | 42.1681 | − | 8.96310i | 1.35324 | − | 0.287640i | 0.526475 | − | 0.850190i | \(-0.323513\pi\) |
0.826763 | + | 0.562551i | \(0.190180\pi\) | |||||||
\(972\) | 0.559042 | − | 1.72056i | 0.0179313 | − | 0.0551868i | ||||
\(973\) | −15.0322 | − | 44.1165i | −0.481911 | − | 1.41431i | ||||
\(974\) | −62.0878 | −1.98942 | ||||||||
\(975\) | 9.45825 | + | 37.1225i | 0.302906 | + | 1.18887i | ||||
\(976\) | −4.86665 | + | 8.42929i | −0.155778 | + | 0.269815i | ||||
\(977\) | −4.27311 | − | 40.6560i | −0.136709 | − | 1.30070i | −0.820763 | − | 0.571268i | \(-0.806452\pi\) |
0.684054 | − | 0.729431i | \(-0.260215\pi\) | |||||||
\(978\) | 1.87026 | − | 0.397535i | 0.0598042 | − | 0.0127118i | ||||
\(979\) | 4.77614 | − | 14.6994i | 0.152646 | − | 0.469796i | ||||
\(980\) | 0.845169 | + | 4.05302i | 0.0269979 | + | 0.129469i | ||||
\(981\) | 32.7356 | + | 100.750i | 1.04517 | + | 3.21670i | ||||
\(982\) | 8.16813 | + | 14.1476i | 0.260655 | + | 0.451469i | ||||
\(983\) | 40.7430 | + | 8.66019i | 1.29950 | + | 0.276217i | 0.805163 | − | 0.593053i | \(-0.202078\pi\) |
0.494337 | + | 0.869271i | \(0.335411\pi\) | |||||||
\(984\) | −19.3512 | + | 8.61569i | −0.616893 | + | 0.274658i | ||||
\(985\) | 5.86195 | − | 23.7706i | 0.186777 | − | 0.757395i | ||||
\(986\) | −6.41724 | + | 4.66240i | −0.204367 | + | 0.148481i | ||||
\(987\) | 71.4313 | − | 53.4685i | 2.27368 | − | 1.70192i | ||||
\(988\) | −2.43899 | − | 1.77203i | −0.0775945 | − | 0.0563757i | ||||
\(989\) | 22.2043 | + | 9.88601i | 0.706057 | + | 0.314357i | ||||
\(990\) | −33.4316 | − | 12.0711i | −1.06253 | − | 0.383644i | ||||
\(991\) | −41.5064 | + | 18.4798i | −1.31849 | + | 0.587031i | −0.940820 | − | 0.338907i | \(-0.889943\pi\) |
−0.377674 | + | 0.925939i | \(0.623276\pi\) | |||||||
\(992\) | 8.82414 | − | 9.80020i | 0.280167 | − | 0.311157i | ||||
\(993\) | −23.2566 | −0.738025 | ||||||||
\(994\) | −3.65028 | − | 6.11952i | −0.115780 | − | 0.194099i | ||||
\(995\) | −5.58444 | + | 11.5247i | −0.177038 | + | 0.365359i | ||||
\(996\) | 0.184560 | − | 0.0392294i | 0.00584801 | − | 0.00124303i | ||||
\(997\) | 29.0046 | + | 32.2129i | 0.918585 | + | 1.02019i | 0.999724 | + | 0.0234897i | \(0.00747769\pi\) |
−0.0811386 | + | 0.996703i | \(0.525856\pi\) | |||||||
\(998\) | −0.0505292 | − | 0.480753i | −0.00159947 | − | 0.0152180i | ||||
\(999\) | −50.6222 | − | 87.6802i | −1.60161 | − | 2.77408i |
(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 | 175.2.q.a.11.14 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.u.b.74.10 | 288 | |||
5.3 | odd | 4 | 875.2.u.b.74.27 | 288 | |||
5.4 | even | 2 | 875.2.q.a.676.5 | 144 | |||
7.2 | even | 3 | inner | 175.2.q.a.86.5 | yes | 144 | |
25.9 | even | 10 | 875.2.q.a.326.14 | 144 | |||
25.12 | odd | 20 | 875.2.u.b.424.10 | 288 | |||
25.13 | odd | 20 | 875.2.u.b.424.27 | 288 | |||
25.16 | even | 5 | inner | 175.2.q.a.116.5 | yes | 144 | |
35.2 | odd | 12 | 875.2.u.b.324.27 | 288 | |||
35.9 | even | 6 | 875.2.q.a.51.14 | 144 | |||
35.23 | odd | 12 | 875.2.u.b.324.10 | 288 | |||
175.9 | even | 30 | 875.2.q.a.576.5 | 144 | |||
175.16 | even | 15 | inner | 175.2.q.a.16.14 | yes | 144 | |
175.37 | odd | 60 | 875.2.u.b.674.27 | 288 | |||
175.163 | odd | 60 | 875.2.u.b.674.10 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.q.a.11.14 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.q.a.16.14 | yes | 144 | 175.16 | even | 15 | inner | |
175.2.q.a.86.5 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.q.a.116.5 | yes | 144 | 25.16 | even | 5 | inner | |
875.2.q.a.51.14 | 144 | 35.9 | even | 6 | |||
875.2.q.a.326.14 | 144 | 25.9 | even | 10 | |||
875.2.q.a.576.5 | 144 | 175.9 | even | 30 | |||
875.2.q.a.676.5 | 144 | 5.4 | even | 2 | |||
875.2.u.b.74.10 | 288 | 5.2 | odd | 4 | |||
875.2.u.b.74.27 | 288 | 5.3 | odd | 4 | |||
875.2.u.b.324.10 | 288 | 35.23 | odd | 12 | |||
875.2.u.b.324.27 | 288 | 35.2 | odd | 12 | |||
875.2.u.b.424.10 | 288 | 25.12 | odd | 20 | |||
875.2.u.b.424.27 | 288 | 25.13 | odd | 20 | |||
875.2.u.b.674.10 | 288 | 175.163 | odd | 60 | |||
875.2.u.b.674.27 | 288 | 175.37 | odd | 60 |