Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.35 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.35 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.558490 | + | 1.29926i | −0.394912 | + | 0.918719i | ||||
\(3\) | −0.103681 | − | 1.72894i | −0.0598602 | − | 0.998207i | ||||
\(4\) | −1.37618 | − | 1.45125i | −0.688089 | − | 0.725626i | ||||
\(5\) | −0.832536 | − | 0.949325i | −0.372321 | − | 0.424551i | 0.535090 | − | 0.844795i | \(-0.320278\pi\) |
−0.907411 | + | 0.420244i | \(0.861944\pi\) | |||||||
\(6\) | 2.30426 | + | 0.830889i | 0.940711 | + | 0.339209i | ||||
\(7\) | −0.877285 | − | 0.115497i | −0.331583 | − | 0.0436537i | −0.0371030 | − | 0.999311i | \(-0.511813\pi\) |
−0.294480 | + | 0.955658i | \(0.595146\pi\) | |||||||
\(8\) | 2.65414 | − | 0.977509i | 0.938381 | − | 0.345602i | ||||
\(9\) | −2.97850 | + | 0.358517i | −0.992834 | + | 0.119506i | ||||
\(10\) | 1.69839 | − | 0.551496i | 0.537077 | − | 0.174398i | ||||
\(11\) | −0.764844 | − | 1.55095i | −0.230609 | − | 0.467629i | 0.750554 | − | 0.660809i | \(-0.229787\pi\) |
−0.981163 | + | 0.193180i | \(0.938120\pi\) | |||||||
\(12\) | −2.36645 | + | 2.52980i | −0.683136 | + | 0.730291i | ||||
\(13\) | −0.0664904 | − | 0.195874i | −0.0184411 | − | 0.0543258i | 0.937320 | − | 0.348470i | \(-0.113299\pi\) |
−0.955761 | + | 0.294144i | \(0.904965\pi\) | |||||||
\(14\) | 0.640016 | − | 1.07532i | 0.171051 | − | 0.287392i | ||||
\(15\) | −1.55501 | + | 1.53784i | −0.401502 | + | 0.397067i | ||||
\(16\) | −0.212269 | + | 3.99436i | −0.0530672 | + | 0.998591i | ||||
\(17\) | −1.23907 | − | 1.23907i | −0.300518 | − | 0.300518i | 0.540699 | − | 0.841216i | \(-0.318160\pi\) |
−0.841216 | + | 0.540699i | \(0.818160\pi\) | |||||||
\(18\) | 1.19765 | − | 4.07009i | 0.282290 | − | 0.959329i | ||||
\(19\) | −1.64561 | + | 8.27306i | −0.377530 | + | 1.89797i | 0.0589603 | + | 0.998260i | \(0.481221\pi\) |
−0.436490 | + | 0.899709i | \(0.643779\pi\) | |||||||
\(20\) | −0.231993 | + | 2.51466i | −0.0518753 | + | 0.562295i | ||||
\(21\) | −0.108730 | + | 1.52875i | −0.0237268 | + | 0.333601i | ||||
\(22\) | 2.44225 | − | 0.127545i | 0.520690 | − | 0.0271926i | ||||
\(23\) | 0.139552 | + | 1.06001i | 0.0290987 | + | 0.221027i | 0.999816 | − | 0.0191995i | \(-0.00611176\pi\) |
−0.970717 | + | 0.240226i | \(0.922778\pi\) | |||||||
\(24\) | −1.96524 | − | 4.48752i | −0.401154 | − | 0.916011i | ||||
\(25\) | 0.444529 | − | 3.37653i | 0.0889057 | − | 0.675306i | ||||
\(26\) | 0.291627 | + | 0.0230053i | 0.0571927 | + | 0.00451170i | ||||
\(27\) | 0.928670 | + | 5.11249i | 0.178723 | + | 0.983899i | ||||
\(28\) | 1.03969 | + | 1.43211i | 0.196482 | + | 0.270643i | ||||
\(29\) | −7.86257 | + | 0.515340i | −1.46004 | + | 0.0956962i | −0.774610 | − | 0.632440i | \(-0.782054\pi\) |
−0.685433 | + | 0.728136i | \(0.740387\pi\) | |||||||
\(30\) | −1.12960 | − | 2.87924i | −0.206235 | − | 0.525675i | ||||
\(31\) | −1.77296 | + | 1.02362i | −0.318432 | + | 0.183847i | −0.650694 | − | 0.759340i | \(-0.725522\pi\) |
0.332261 | + | 0.943187i | \(0.392188\pi\) | |||||||
\(32\) | −5.07119 | − | 2.50661i | −0.896468 | − | 0.443109i | ||||
\(33\) | −2.60221 | + | 1.48318i | −0.452986 | + | 0.258188i | ||||
\(34\) | 2.30188 | − | 0.917869i | 0.394770 | − | 0.157413i | ||||
\(35\) | 0.620727 | + | 0.928984i | 0.104922 | + | 0.157027i | ||||
\(36\) | 4.61925 | + | 3.82917i | 0.769874 | + | 0.638196i | ||||
\(37\) | 1.88482 | + | 9.47565i | 0.309863 | + | 1.55779i | 0.750972 | + | 0.660334i | \(0.229585\pi\) |
−0.441109 | + | 0.897454i | \(0.645415\pi\) | |||||||
\(38\) | −9.82983 | − | 6.75851i | −1.59461 | − | 1.09637i | ||||
\(39\) | −0.331762 | + | 0.135267i | −0.0531245 | + | 0.0216600i | ||||
\(40\) | −3.13764 | − | 1.70583i | −0.496105 | − | 0.269716i | ||||
\(41\) | −0.845937 | − | 6.42553i | −0.132113 | − | 1.00350i | −0.921165 | − | 0.389173i | \(-0.872761\pi\) |
0.789052 | − | 0.614327i | \(-0.210572\pi\) | |||||||
\(42\) | −1.92553 | − | 0.995062i | −0.297116 | − | 0.153541i | ||||
\(43\) | −2.65477 | + | 1.30919i | −0.404848 | + | 0.199649i | −0.633300 | − | 0.773906i | \(-0.718300\pi\) |
0.228452 | + | 0.973555i | \(0.426634\pi\) | |||||||
\(44\) | −1.19826 | + | 3.24437i | −0.180645 | + | 0.489107i | ||||
\(45\) | 2.82006 | + | 2.52909i | 0.420389 | + | 0.377014i | ||||
\(46\) | −1.45517 | − | 0.410687i | −0.214553 | − | 0.0605525i | ||||
\(47\) | −8.46311 | + | 2.26768i | −1.23447 | + | 0.330776i | −0.816319 | − | 0.577601i | \(-0.803989\pi\) |
−0.418153 | + | 0.908377i | \(0.637322\pi\) | |||||||
\(48\) | 6.92804 | − | 0.0471380i | 0.999977 | − | 0.00680379i | ||||
\(49\) | −6.00519 | − | 1.60909i | −0.857884 | − | 0.229869i | ||||
\(50\) | 4.13874 | + | 2.46332i | 0.585307 | + | 0.348366i | ||||
\(51\) | −2.01381 | + | 2.27075i | −0.281990 | + | 0.317968i | ||||
\(52\) | −0.192761 | + | 0.366052i | −0.0267311 | + | 0.0507623i | ||||
\(53\) | 0.236729 | − | 0.354291i | 0.0325173 | − | 0.0486655i | −0.814855 | − | 0.579665i | \(-0.803183\pi\) |
0.847372 | + | 0.531000i | \(0.178183\pi\) | |||||||
\(54\) | −7.16113 | − | 1.64869i | −0.974507 | − | 0.224358i | ||||
\(55\) | −0.835596 | + | 2.01731i | −0.112672 | + | 0.272014i | ||||
\(56\) | −2.44134 | + | 0.551009i | −0.326238 | + | 0.0736317i | ||||
\(57\) | 14.4743 | + | 1.98742i | 1.91716 | + | 0.263240i | ||||
\(58\) | 3.72160 | − | 10.5034i | 0.488670 | − | 1.37916i | ||||
\(59\) | −1.23769 | − | 1.41131i | −0.161133 | − | 0.183737i | 0.665639 | − | 0.746274i | \(-0.268159\pi\) |
−0.826773 | + | 0.562536i | \(0.809826\pi\) | |||||||
\(60\) | 4.37176 | + | 0.140381i | 0.564392 | + | 0.0181232i | ||||
\(61\) | −0.0941635 | − | 1.43666i | −0.0120564 | − | 0.183945i | −0.999640 | − | 0.0268478i | \(-0.991453\pi\) |
0.987583 | − | 0.157097i | \(-0.0502136\pi\) | |||||||
\(62\) | −0.339771 | − | 2.87522i | −0.0431510 | − | 0.365153i | ||||
\(63\) | 2.65440 | + | 0.0294854i | 0.334423 | + | 0.00371481i | ||||
\(64\) | 6.08895 | − | 5.18890i | 0.761119 | − | 0.648612i | ||||
\(65\) | −0.130593 | + | 0.226193i | −0.0161980 | + | 0.0280558i | ||||
\(66\) | −0.473733 | − | 4.20930i | −0.0583125 | − | 0.518129i | ||||
\(67\) | 1.75901 | + | 0.867446i | 0.214897 | + | 0.105975i | 0.546552 | − | 0.837425i | \(-0.315940\pi\) |
−0.331655 | + | 0.943401i | \(0.607607\pi\) | |||||||
\(68\) | −0.0930228 | + | 3.50338i | −0.0112807 | + | 0.424847i | ||||
\(69\) | 1.81822 | − | 0.351181i | 0.218888 | − | 0.0422772i | ||||
\(70\) | −1.55367 | + | 0.287661i | −0.185699 | + | 0.0343820i | ||||
\(71\) | −3.07366 | − | 7.42046i | −0.364776 | − | 0.880647i | −0.994588 | − | 0.103899i | \(-0.966868\pi\) |
0.629812 | − | 0.776748i | \(-0.283132\pi\) | |||||||
\(72\) | −7.55491 | + | 3.86307i | −0.890355 | + | 0.455267i | ||||
\(73\) | 6.36028 | − | 15.3551i | 0.744414 | − | 1.79717i | 0.157512 | − | 0.987517i | \(-0.449653\pi\) |
0.586902 | − | 0.809658i | \(-0.300347\pi\) | |||||||
\(74\) | −13.3640 | − | 2.84317i | −1.55354 | − | 0.330512i | ||||
\(75\) | −5.88392 | − | 0.418484i | −0.679417 | − | 0.0483223i | ||||
\(76\) | 14.2710 | − | 8.99700i | 1.63699 | − | 1.03203i | ||||
\(77\) | 0.491857 | + | 1.44896i | 0.0560523 | + | 0.165125i | ||||
\(78\) | 0.00953867 | − | 0.506592i | 0.00108004 | − | 0.0573602i | ||||
\(79\) | 2.71740 | + | 10.1415i | 0.305732 | + | 1.14101i | 0.932314 | + | 0.361651i | \(0.117787\pi\) |
−0.626582 | + | 0.779356i | \(0.715547\pi\) | |||||||
\(80\) | 3.96867 | − | 3.12394i | 0.443711 | − | 0.349267i | ||||
\(81\) | 8.74293 | − | 2.13569i | 0.971437 | − | 0.237299i | ||||
\(82\) | 8.82091 | + | 2.48950i | 0.974107 | + | 0.274919i | ||||
\(83\) | −1.77455 | − | 1.55624i | −0.194783 | − | 0.170820i | 0.556399 | − | 0.830915i | \(-0.312183\pi\) |
−0.751182 | + | 0.660095i | \(0.770516\pi\) | |||||||
\(84\) | 2.36824 | − | 1.94604i | 0.258396 | − | 0.212330i | ||||
\(85\) | −0.144710 | + | 2.20784i | −0.0156960 | + | 0.239474i | ||||
\(86\) | −0.218319 | − | 4.18041i | −0.0235419 | − | 0.450785i | ||||
\(87\) | 1.70619 | + | 13.5405i | 0.182923 | + | 1.45170i | ||||
\(88\) | −3.54608 | − | 3.36880i | −0.378013 | − | 0.359116i | ||||
\(89\) | 8.28056 | − | 3.42992i | 0.877738 | − | 0.363571i | 0.102119 | − | 0.994772i | \(-0.467438\pi\) |
0.775619 | + | 0.631201i | \(0.217438\pi\) | |||||||
\(90\) | −4.86093 | + | 2.25153i | −0.512387 | + | 0.237332i | ||||
\(91\) | 0.0357082 | + | 0.179517i | 0.00374323 | + | 0.0188185i | ||||
\(92\) | 1.34629 | − | 1.66128i | 0.140360 | − | 0.173201i | ||||
\(93\) | 1.95360 | + | 2.95922i | 0.202579 | + | 0.306856i | ||||
\(94\) | 1.78024 | − | 12.2623i | 0.183618 | − | 1.26476i | ||||
\(95\) | 9.22385 | − | 5.32539i | 0.946347 | − | 0.546374i | ||||
\(96\) | −3.80800 | + | 9.02769i | −0.388652 | + | 0.921385i | ||||
\(97\) | −3.16745 | − | 1.82873i | −0.321606 | − | 0.185679i | 0.330502 | − | 0.943805i | \(-0.392782\pi\) |
−0.652108 | + | 0.758126i | \(0.726115\pi\) | |||||||
\(98\) | 5.44447 | − | 6.90368i | 0.549974 | − | 0.697376i | ||||
\(99\) | 2.83413 | + | 4.34530i | 0.284841 | + | 0.436719i | ||||
\(100\) | −5.51195 | + | 4.00158i | −0.551195 | + | 0.400158i | ||||
\(101\) | −0.680206 | − | 0.230899i | −0.0676830 | − | 0.0229753i | 0.287393 | − | 0.957813i | \(-0.407212\pi\) |
−0.355076 | + | 0.934838i | \(0.615545\pi\) | |||||||
\(102\) | −1.82561 | − | 3.88466i | −0.180762 | − | 0.384639i | ||||
\(103\) | 11.5457 | + | 8.85930i | 1.13763 | + | 0.872933i | 0.993181 | − | 0.116580i | \(-0.0371931\pi\) |
0.144447 | + | 0.989513i | \(0.453860\pi\) | |||||||
\(104\) | −0.367944 | − | 0.454884i | −0.0360799 | − | 0.0446050i | ||||
\(105\) | 1.54180 | − | 1.16952i | 0.150465 | − | 0.114134i | ||||
\(106\) | 0.328106 | + | 0.505442i | 0.0318685 | + | 0.0490929i | ||||
\(107\) | −10.5857 | − | 7.07311i | −1.02335 | − | 0.683783i | −0.0737632 | − | 0.997276i | \(-0.523501\pi\) |
−0.949591 | + | 0.313493i | \(0.898501\pi\) | |||||||
\(108\) | 6.14150 | − | 8.38343i | 0.590966 | − | 0.806696i | ||||
\(109\) | 0.524468 | − | 2.63668i | 0.0502350 | − | 0.252548i | −0.947505 | − | 0.319741i | \(-0.896404\pi\) |
0.997740 | + | 0.0671925i | \(0.0214042\pi\) | |||||||
\(110\) | −2.15434 | − | 2.21231i | −0.205409 | − | 0.210935i | ||||
\(111\) | 16.1875 | − | 4.24120i | 1.53645 | − | 0.402557i | ||||
\(112\) | 0.647556 | − | 3.47968i | 0.0611883 | − | 0.328799i | ||||
\(113\) | −10.3318 | − | 2.76839i | −0.971931 | − | 0.260428i | −0.262288 | − | 0.964990i | \(-0.584477\pi\) |
−0.709643 | + | 0.704562i | \(0.751144\pi\) | |||||||
\(114\) | −10.6659 | + | 17.6960i | −0.998955 | + | 1.65738i | ||||
\(115\) | 0.890108 | − | 1.01497i | 0.0830030 | − | 0.0946468i | ||||
\(116\) | 11.5682 | + | 10.7014i | 1.07408 | + | 0.993598i | ||||
\(117\) | 0.268266 | + | 0.559574i | 0.0248012 | + | 0.0517326i | ||||
\(118\) | 2.52490 | − | 0.819880i | 0.232436 | − | 0.0754761i | ||||
\(119\) | 0.943906 | + | 1.23012i | 0.0865278 | + | 0.112765i | ||||
\(120\) | −2.62398 | + | 5.60167i | −0.239535 | + | 0.511360i | ||||
\(121\) | 4.87591 | − | 6.35441i | 0.443265 | − | 0.577674i | ||||
\(122\) | 1.91919 | + | 0.680015i | 0.173755 | + | 0.0615657i | ||||
\(123\) | −11.0217 | + | 2.12878i | −0.993792 | + | 0.191946i | ||||
\(124\) | 3.92543 | + | 1.16433i | 0.352514 | + | 0.104560i | ||||
\(125\) | −8.82487 | + | 5.89659i | −0.789320 | + | 0.527407i | ||||
\(126\) | −1.52077 | + | 3.43230i | −0.135481 | + | 0.305774i | ||||
\(127\) | −22.3348 | −1.98189 | −0.990945 | − | 0.134265i | \(-0.957133\pi\) | ||||
−0.990945 | + | 0.134265i | \(0.957133\pi\) | |||||||
\(128\) | 3.34114 | + | 10.8091i | 0.295317 | + | 0.955399i | ||||
\(129\) | 2.53876 | + | 4.45421i | 0.223525 | + | 0.392171i | ||||
\(130\) | −0.220950 | − | 0.296001i | −0.0193786 | − | 0.0259610i | ||||
\(131\) | 7.57919 | + | 3.73764i | 0.662197 | + | 0.326559i | 0.742145 | − | 0.670240i | \(-0.233809\pi\) |
−0.0799477 | + | 0.996799i | \(0.525475\pi\) | |||||||
\(132\) | 5.73357 | + | 1.73535i | 0.499043 | + | 0.151043i | ||||
\(133\) | 2.39918 | − | 7.06777i | 0.208036 | − | 0.612853i | ||||
\(134\) | −2.10943 | + | 1.80095i | −0.182227 | + | 0.155579i | ||||
\(135\) | 4.08026 | − | 5.13794i | 0.351173 | − | 0.442204i | ||||
\(136\) | −4.49986 | − | 2.07746i | −0.385860 | − | 0.178141i | ||||
\(137\) | 3.29453 | + | 4.29352i | 0.281471 | + | 0.366820i | 0.912597 | − | 0.408860i | \(-0.134074\pi\) |
−0.631126 | + | 0.775680i | \(0.717407\pi\) | |||||||
\(138\) | −0.559182 | + | 2.55848i | −0.0476008 | + | 0.217793i | ||||
\(139\) | −6.24857 | − | 0.409553i | −0.529996 | − | 0.0347378i | −0.201944 | − | 0.979397i | \(-0.564726\pi\) |
−0.328053 | + | 0.944659i | \(0.606392\pi\) | |||||||
\(140\) | 0.493959 | − | 2.17928i | 0.0417472 | − | 0.184183i | ||||
\(141\) | 4.79816 | + | 14.3971i | 0.404078 | + | 1.21246i | ||||
\(142\) | 11.3577 | + | 0.150761i | 0.953121 | + | 0.0126516i | ||||
\(143\) | −0.252937 | + | 0.252937i | −0.0211516 | + | 0.0211516i | ||||
\(144\) | −0.799805 | − | 11.9733i | −0.0666504 | − | 0.997776i | ||||
\(145\) | 7.03509 | + | 7.03509i | 0.584233 | + | 0.584233i | ||||
\(146\) | 16.3981 | + | 16.8393i | 1.35712 | + | 1.39363i | ||||
\(147\) | −2.15940 | + | 10.5495i | −0.178104 | + | 0.870106i | ||||
\(148\) | 11.1577 | − | 15.7755i | 0.917158 | − | 1.29674i | ||||
\(149\) | 0.301219 | − | 4.59572i | 0.0246768 | − | 0.376496i | −0.967603 | − | 0.252477i | \(-0.918755\pi\) |
0.992280 | − | 0.124019i | \(-0.0395784\pi\) | |||||||
\(150\) | 3.82983 | − | 7.41106i | 0.312705 | − | 0.605110i | ||||
\(151\) | −10.1691 | + | 7.80302i | −0.827549 | + | 0.635001i | −0.933182 | − | 0.359404i | \(-0.882980\pi\) |
0.105633 | + | 0.994405i | \(0.466313\pi\) | |||||||
\(152\) | 3.71930 | + | 23.5665i | 0.301675 | + | 1.91149i | ||||
\(153\) | 4.13479 | + | 3.24633i | 0.334278 | + | 0.262451i | ||||
\(154\) | −2.15728 | − | 0.170179i | −0.173839 | − | 0.0137134i | ||||
\(155\) | 2.44780 | + | 0.830915i | 0.196612 | + | 0.0667407i | ||||
\(156\) | 0.652870 | + | 0.295320i | 0.0522714 | + | 0.0236445i | ||||
\(157\) | −4.14530 | + | 8.40584i | −0.330831 | + | 0.670859i | −0.997201 | − | 0.0747618i | \(-0.976180\pi\) |
0.666370 | + | 0.745621i | \(0.267847\pi\) | |||||||
\(158\) | −14.6941 | − | 2.13329i | −1.16900 | − | 0.169716i | ||||
\(159\) | −0.637093 | − | 0.372559i | −0.0505248 | − | 0.0295458i | ||||
\(160\) | 1.84236 | + | 6.90104i | 0.145651 | + | 0.545575i | ||||
\(161\) | − | 0.946045i | − | 0.0745588i | ||||||
\(162\) | −2.10802 | + | 12.5521i | −0.165621 | + | 0.986189i | ||||
\(163\) | −5.24135 | − | 7.84423i | −0.410534 | − | 0.614408i | 0.567370 | − | 0.823463i | \(-0.307961\pi\) |
−0.977904 | + | 0.209056i | \(0.932961\pi\) | |||||||
\(164\) | −8.16091 | + | 10.0703i | −0.637260 | + | 0.786362i | ||||
\(165\) | 3.57445 | + | 1.23554i | 0.278271 | + | 0.0961869i | ||||
\(166\) | 3.01304 | − | 1.43647i | 0.233857 | − | 0.111492i | ||||
\(167\) | 3.48051 | + | 2.67069i | 0.269330 | + | 0.206664i | 0.734593 | − | 0.678508i | \(-0.237373\pi\) |
−0.465262 | + | 0.885173i | \(0.654040\pi\) | |||||||
\(168\) | 1.20578 | + | 4.16381i | 0.0930283 | + | 0.321245i | ||||
\(169\) | 10.2796 | − | 7.88785i | 0.790742 | − | 0.606758i | ||||
\(170\) | −2.78776 | − | 1.42108i | −0.213811 | − | 0.108991i | ||||
\(171\) | 1.93543 | − | 25.2313i | 0.148006 | − | 1.92948i | ||||
\(172\) | 5.55339 | + | 2.05106i | 0.423442 | + | 0.156392i | ||||
\(173\) | −1.92779 | − | 1.69062i | −0.146567 | − | 0.128536i | 0.582923 | − | 0.812528i | \(-0.301909\pi\) |
−0.729490 | + | 0.683992i | \(0.760242\pi\) | |||||||
\(174\) | −18.5456 | − | 5.34545i | −1.40594 | − | 0.405237i | ||||
\(175\) | −0.779957 | + | 2.91084i | −0.0589592 | + | 0.220039i | ||||
\(176\) | 6.35742 | − | 2.72585i | 0.479208 | − | 0.205469i | ||||
\(177\) | −2.31176 | + | 2.28622i | −0.173762 | + | 0.171843i | ||||
\(178\) | −0.168235 | + | 12.6742i | −0.0126098 | + | 0.949973i | ||||
\(179\) | 9.94158 | + | 1.97750i | 0.743069 | + | 0.147806i | 0.552085 | − | 0.833788i | \(-0.313832\pi\) |
0.190983 | + | 0.981593i | \(0.438832\pi\) | |||||||
\(180\) | −0.210557 | − | 7.57309i | −0.0156940 | − | 0.564465i | ||||
\(181\) | 6.12021 | − | 9.15953i | 0.454911 | − | 0.680823i | −0.531136 | − | 0.847286i | \(-0.678235\pi\) |
0.986048 | + | 0.166464i | \(0.0532348\pi\) | |||||||
\(182\) | −0.253183 | − | 0.0538641i | −0.0187672 | − | 0.00399267i | ||||
\(183\) | −2.47414 | + | 0.311757i | −0.182894 | + | 0.0230458i | ||||
\(184\) | 1.40656 | + | 2.67699i | 0.103693 | + | 0.197351i | ||||
\(185\) | 7.42629 | − | 9.67813i | 0.545992 | − | 0.711550i | ||||
\(186\) | −4.93587 | + | 0.885551i | −0.361916 | + | 0.0649317i | ||||
\(187\) | −0.974039 | + | 2.86943i | −0.0712288 | + | 0.209833i | ||||
\(188\) | 14.9377 | + | 9.16138i | 1.08945 | + | 0.668162i | ||||
\(189\) | −0.224232 | − | 4.59237i | −0.0163105 | − | 0.334046i | ||||
\(190\) | 1.76767 | + | 14.9584i | 0.128240 | + | 1.08520i | ||||
\(191\) | 2.04121 | − | 3.53548i | 0.147697 | − | 0.255819i | −0.782679 | − | 0.622426i | \(-0.786147\pi\) |
0.930376 | + | 0.366607i | \(0.119481\pi\) | |||||||
\(192\) | −9.60263 | − | 9.98947i | −0.693010 | − | 0.720928i | ||||
\(193\) | 0.658806 | + | 1.14109i | 0.0474219 | + | 0.0821372i | 0.888762 | − | 0.458369i | \(-0.151566\pi\) |
−0.841340 | + | 0.540506i | \(0.818233\pi\) | |||||||
\(194\) | 4.14499 | − | 3.09403i | 0.297593 | − | 0.222138i | ||||
\(195\) | 0.404616 | + | 0.202336i | 0.0289751 | + | 0.0144896i | ||||
\(196\) | 5.92902 | + | 10.9294i | 0.423501 | + | 0.780674i | ||||
\(197\) | 14.4739 | − | 2.87904i | 1.03122 | − | 0.205123i | 0.349655 | − | 0.936879i | \(-0.386299\pi\) |
0.681567 | + | 0.731756i | \(0.261299\pi\) | |||||||
\(198\) | −7.22853 | + | 1.25548i | −0.513709 | + | 0.0892232i | ||||
\(199\) | −6.01873 | − | 14.5305i | −0.426656 | − | 1.03004i | −0.980341 | − | 0.197313i | \(-0.936778\pi\) |
0.553684 | − | 0.832727i | \(-0.313222\pi\) | |||||||
\(200\) | −2.12075 | − | 9.39633i | −0.149959 | − | 0.664421i | ||||
\(201\) | 1.31739 | − | 3.13116i | 0.0929216 | − | 0.220855i | ||||
\(202\) | 0.679887 | − | 0.754813i | 0.0478367 | − | 0.0531084i | ||||
\(203\) | 6.95723 | + | 0.456001i | 0.488302 | + | 0.0320050i | ||||
\(204\) | 6.06679 | − | 0.202402i | 0.424760 | − | 0.0141710i | ||||
\(205\) | −5.39564 | + | 6.15255i | −0.376848 | + | 0.429713i | ||||
\(206\) | −17.9587 | + | 10.0530i | −1.25124 | + | 0.700429i | ||||
\(207\) | −0.795688 | − | 3.10720i | −0.0553041 | − | 0.215965i | ||||
\(208\) | 0.796507 | − | 0.224009i | 0.0552278 | − | 0.0155322i | ||||
\(209\) | 14.0897 | − | 3.77534i | 0.974608 | − | 0.261145i | ||||
\(210\) | 0.658435 | + | 2.65638i | 0.0454363 | + | 0.183307i | ||||
\(211\) | 1.77250 | − | 0.601681i | 0.122024 | − | 0.0414214i | −0.259760 | − | 0.965673i | \(-0.583643\pi\) |
0.381783 | + | 0.924252i | \(0.375310\pi\) | |||||||
\(212\) | −0.839947 | + | 0.144013i | −0.0576878 | + | 0.00989083i | ||||
\(213\) | −12.5109 | + | 6.08354i | −0.857232 | + | 0.416837i | ||||
\(214\) | 15.1018 | − | 9.80331i | 1.03234 | − | 0.670140i | ||||
\(215\) | 3.45303 | + | 1.43029i | 0.235495 | + | 0.0975451i | ||||
\(216\) | 7.46233 | + | 12.6615i | 0.507747 | + | 0.861506i | ||||
\(217\) | 1.67361 | − | 0.693233i | 0.113612 | − | 0.0470597i | ||||
\(218\) | 3.13284 | + | 2.15398i | 0.212182 | + | 0.145886i | ||||
\(219\) | −27.2075 | − | 9.40454i | −1.83851 | − | 0.635500i | ||||
\(220\) | 4.07755 | − | 1.56351i | 0.274909 | − | 0.105412i | ||||
\(221\) | −0.160315 | + | 0.325087i | −0.0107840 | + | 0.0218677i | ||||
\(222\) | −3.53009 | + | 23.4005i | −0.236924 | + | 1.57054i | ||||
\(223\) | 3.17817 | + | 1.83492i | 0.212826 | + | 0.122875i | 0.602624 | − | 0.798025i | \(-0.294122\pi\) |
−0.389798 | + | 0.920900i | \(0.627455\pi\) | |||||||
\(224\) | 4.15937 | + | 2.78471i | 0.277910 | + | 0.186061i | ||||
\(225\) | −0.113485 | + | 10.2164i | −0.00756563 | + | 0.681091i | ||||
\(226\) | 9.36705 | − | 11.8776i | 0.623087 | − | 0.790085i | ||||
\(227\) | −22.1233 | + | 1.45004i | −1.46838 | + | 0.0962424i | −0.778482 | − | 0.627668i | \(-0.784010\pi\) |
−0.689894 | + | 0.723910i | \(0.742343\pi\) | |||||||
\(228\) | −17.0349 | − | 23.7409i | −1.12817 | − | 1.57228i | ||||
\(229\) | −10.9125 | + | 9.56998i | −0.721116 | + | 0.632402i | −0.939137 | − | 0.343542i | \(-0.888373\pi\) |
0.218021 | + | 0.975944i | \(0.430040\pi\) | |||||||
\(230\) | 0.821603 | + | 1.72334i | 0.0541749 | + | 0.113634i | ||||
\(231\) | 2.45418 | − | 1.00062i | 0.161473 | − | 0.0658362i | ||||
\(232\) | −20.3646 | + | 9.05352i | −1.33700 | + | 0.594393i | ||||
\(233\) | −14.0401 | − | 5.81560i | −0.919797 | − | 0.380992i | −0.127998 | − | 0.991774i | \(-0.540855\pi\) |
−0.791799 | + | 0.610782i | \(0.790855\pi\) | |||||||
\(234\) | −0.876859 | + | 0.0360321i | −0.0573220 | + | 0.00235549i | ||||
\(235\) | 9.19861 | + | 6.14632i | 0.600051 | + | 0.400941i | ||||
\(236\) | −0.344892 | + | 3.73841i | −0.0224506 | + | 0.243350i | ||||
\(237\) | 17.2523 | − | 5.74972i | 1.12066 | − | 0.373484i | ||||
\(238\) | −2.12542 | + | 0.539373i | −0.137770 | + | 0.0349624i | ||||
\(239\) | 5.97064 | − | 22.2827i | 0.386209 | − | 1.44135i | −0.450044 | − | 0.893006i | \(-0.648592\pi\) |
0.836253 | − | 0.548344i | \(-0.184742\pi\) | |||||||
\(240\) | −5.81259 | − | 6.53772i | −0.375201 | − | 0.422008i | ||||
\(241\) | −5.49799 | − | 20.5188i | −0.354157 | − | 1.32173i | −0.881543 | − | 0.472105i | \(-0.843494\pi\) |
0.527386 | − | 0.849626i | \(-0.323172\pi\) | |||||||
\(242\) | 5.53292 | + | 9.88398i | 0.355669 | + | 0.635366i | ||||
\(243\) | −4.59896 | − | 14.8946i | −0.295023 | − | 0.955490i | ||||
\(244\) | −1.95537 | + | 2.11375i | −0.125180 | + | 0.135319i | ||||
\(245\) | 3.47199 | + | 7.04050i | 0.221817 | + | 0.449801i | ||||
\(246\) | 3.38964 | − | 15.5090i | 0.216116 | − | 0.988817i | ||||
\(247\) | 1.72990 | − | 0.227745i | 0.110071 | − | 0.0144911i | ||||
\(248\) | −3.70509 | + | 4.44991i | −0.235273 | + | 0.282569i | ||||
\(249\) | −2.50667 | + | 3.22946i | −0.158854 | + | 0.204659i | ||||
\(250\) | −2.73263 | − | 14.7590i | −0.172827 | − | 0.933443i | ||||
\(251\) | 9.21281 | − | 1.83254i | 0.581507 | − | 0.115669i | 0.104433 | − | 0.994532i | \(-0.466697\pi\) |
0.477074 | + | 0.878863i | \(0.341697\pi\) | |||||||
\(252\) | −3.61014 | − | 3.89278i | −0.227417 | − | 0.245222i | ||||
\(253\) | 1.53728 | − | 1.02718i | 0.0966481 | − | 0.0645782i | ||||
\(254\) | 12.4737 | − | 29.0188i | 0.782673 | − | 1.82080i | ||||
\(255\) | 3.83224 | + | 0.0212838i | 0.239984 | + | 0.00133285i | ||||
\(256\) | −15.9099 | − | 1.69576i | −0.994368 | − | 0.105985i | ||||
\(257\) | −8.56276 | − | 14.8311i | −0.534130 | − | 0.925141i | −0.999205 | − | 0.0398692i | \(-0.987306\pi\) |
0.465075 | − | 0.885271i | \(-0.346027\pi\) | |||||||
\(258\) | −7.20506 | + | 0.810890i | −0.448568 | + | 0.0504838i | ||||
\(259\) | −0.559121 | − | 8.53054i | −0.0347421 | − | 0.530062i | ||||
\(260\) | 0.507983 | − | 0.121759i | 0.0315037 | − | 0.00755118i | ||||
\(261\) | 23.2339 | − | 4.35381i | 1.43814 | − | 0.269494i | ||||
\(262\) | −9.08909 | + | 7.75994i | −0.561526 | + | 0.479411i | ||||
\(263\) | 1.79497 | + | 0.236312i | 0.110683 | + | 0.0145716i | 0.185664 | − | 0.982613i | \(-0.440556\pi\) |
−0.0749814 | + | 0.997185i | \(0.523890\pi\) | |||||||
\(264\) | −5.45682 | + | 6.48025i | −0.335844 | + | 0.398832i | ||||
\(265\) | −0.533422 | + | 0.0702264i | −0.0327679 | + | 0.00431397i | ||||
\(266\) | 7.84298 | + | 7.06445i | 0.480884 | + | 0.433149i | ||||
\(267\) | −6.78868 | − | 13.9610i | −0.415461 | − | 0.854401i | ||||
\(268\) | −1.16182 | − | 3.74652i | −0.0709696 | − | 0.228855i | ||||
\(269\) | −22.5442 | − | 4.48431i | −1.37454 | − | 0.273413i | −0.548089 | − | 0.836420i | \(-0.684645\pi\) |
−0.826452 | + | 0.563007i | \(0.809645\pi\) | |||||||
\(270\) | 4.39676 | + | 8.17083i | 0.267578 | + | 0.497261i | ||||
\(271\) | −14.4621 | + | 14.4621i | −0.878509 | + | 0.878509i | −0.993380 | − | 0.114871i | \(-0.963354\pi\) |
0.114871 | + | 0.993380i | \(0.463354\pi\) | |||||||
\(272\) | 5.21230 | − | 4.68627i | 0.316042 | − | 0.284147i | ||||
\(273\) | 0.306673 | − | 0.0803499i | 0.0185607 | − | 0.00486300i | ||||
\(274\) | −7.41839 | + | 1.88258i | −0.448161 | + | 0.113731i | ||||
\(275\) | −5.57683 | + | 1.89308i | −0.336295 | + | 0.114157i | ||||
\(276\) | −3.01185 | − | 2.15541i | −0.181292 | − | 0.129741i | ||||
\(277\) | −9.82861 | + | 4.84693i | −0.590544 | + | 0.291224i | −0.712904 | − | 0.701262i | \(-0.752620\pi\) |
0.122360 | + | 0.992486i | \(0.460954\pi\) | |||||||
\(278\) | 4.02188 | − | 7.88981i | 0.241216 | − | 0.473199i | ||||
\(279\) | 4.91377 | − | 3.68448i | 0.294180 | − | 0.220584i | ||||
\(280\) | 2.55559 | + | 1.85889i | 0.152726 | + | 0.111090i | ||||
\(281\) | −2.78315 | + | 21.1401i | −0.166029 | + | 1.26111i | 0.682075 | + | 0.731282i | \(0.261078\pi\) |
−0.848104 | + | 0.529830i | \(0.822256\pi\) | |||||||
\(282\) | −21.3854 | − | 1.80657i | −1.27348 | − | 0.107580i | ||||
\(283\) | −5.09489 | + | 4.46810i | −0.302860 | + | 0.265601i | −0.797263 | − | 0.603632i | \(-0.793720\pi\) |
0.494404 | + | 0.869232i | \(0.335386\pi\) | |||||||
\(284\) | −6.53907 | + | 14.6725i | −0.388022 | + | 0.870654i | ||||
\(285\) | −10.1636 | − | 15.3954i | −0.602043 | − | 0.911944i | ||||
\(286\) | −0.187369 | − | 0.469894i | −0.0110794 | − | 0.0277854i | ||||
\(287\) | 5.73472i | 0.338510i | ||||||||
\(288\) | 16.0032 | + | 5.64782i | 0.942997 | + | 0.332801i | ||||
\(289\) | − | 13.9294i | − | 0.819378i | ||||||
\(290\) | −13.0695 | + | 5.21142i | −0.767466 | + | 0.306025i | ||||
\(291\) | −2.83337 | + | 5.66595i | −0.166095 | + | 0.332144i | ||||
\(292\) | −31.0370 | + | 11.9009i | −1.81630 | + | 0.696450i | ||||
\(293\) | −18.1711 | + | 15.9356i | −1.06157 | + | 0.930968i | −0.997753 | − | 0.0669942i | \(-0.978659\pi\) |
−0.0638119 | + | 0.997962i | \(0.520326\pi\) | |||||||
\(294\) | −12.5006 | − | 8.69741i | −0.729048 | − | 0.507243i | ||||
\(295\) | −0.309375 | + | 2.34994i | −0.0180125 | + | 0.136819i | ||||
\(296\) | 14.2651 | + | 23.3073i | 0.829144 | + | 1.35471i | ||||
\(297\) | 7.21894 | − | 5.35058i | 0.418885 | − | 0.310472i | ||||
\(298\) | 5.80283 | + | 2.95803i | 0.336149 | + | 0.171354i | ||||
\(299\) | 0.198349 | − | 0.0978150i | 0.0114708 | − | 0.00565679i | ||||
\(300\) | 7.49000 | + | 9.11497i | 0.432435 | + | 0.526253i | ||||
\(301\) | 2.48019 | − | 0.841912i | 0.142956 | − | 0.0485270i | ||||
\(302\) | −4.45885 | − | 17.5703i | −0.256578 | − | 1.01105i | ||||
\(303\) | −0.328687 | + | 1.19998i | −0.0188826 | + | 0.0689369i | ||||
\(304\) | −32.6963 | − | 8.32929i | −1.87526 | − | 0.477718i | ||||
\(305\) | −1.28546 | + | 1.28546i | −0.0736052 | + | 0.0736052i | ||||
\(306\) | −6.52709 | + | 3.55914i | −0.373129 | + | 0.203462i | ||||
\(307\) | 12.2346 | + | 2.43362i | 0.698268 | + | 0.138894i | 0.531445 | − | 0.847093i | \(-0.321649\pi\) |
0.166823 | + | 0.985987i | \(0.446649\pi\) | |||||||
\(308\) | 1.42593 | − | 2.70784i | 0.0812499 | − | 0.154293i | ||||
\(309\) | 14.1202 | − | 20.8804i | 0.803269 | − | 1.18784i | ||||
\(310\) | −2.44665 | + | 2.71628i | −0.138960 | + | 0.154274i | ||||
\(311\) | 19.4129 | − | 2.55576i | 1.10080 | − | 0.144924i | 0.441837 | − | 0.897095i | \(-0.354327\pi\) |
0.658967 | + | 0.752171i | \(0.270994\pi\) | |||||||
\(312\) | −0.748320 | + | 0.683318i | −0.0423653 | + | 0.0386852i | ||||
\(313\) | −11.8890 | − | 1.56521i | −0.672004 | − | 0.0884710i | −0.213200 | − | 0.977009i | \(-0.568389\pi\) |
−0.458804 | + | 0.888538i | \(0.651722\pi\) | |||||||
\(314\) | −8.60630 | − | 10.0804i | −0.485682 | − | 0.568871i | ||||
\(315\) | −2.18189 | − | 2.54444i | −0.122936 | − | 0.143363i | ||||
\(316\) | 10.9782 | − | 17.9001i | 0.617574 | − | 1.00696i | ||||
\(317\) | −1.77310 | − | 27.0522i | −0.0995870 | − | 1.51940i | −0.696767 | − | 0.717297i | \(-0.745379\pi\) |
0.597180 | − | 0.802107i | \(-0.296288\pi\) | |||||||
\(318\) | 0.839863 | − | 0.619682i | 0.0470972 | − | 0.0347501i | ||||
\(319\) | 6.81291 | + | 11.8003i | 0.381450 | + | 0.660690i | ||||
\(320\) | −9.99522 | − | 1.46045i | −0.558750 | − | 0.0816416i | ||||
\(321\) | −11.1315 | + | 19.0354i | −0.621299 | + | 1.06245i | ||||
\(322\) | 1.22916 | + | 0.528357i | 0.0684986 | + | 0.0294442i | ||||
\(323\) | 12.2899 | − | 8.21185i | 0.683828 | − | 0.456919i | ||||
\(324\) | −15.1313 | − | 9.74912i | −0.840625 | − | 0.541618i | ||||
\(325\) | −0.690933 | + | 0.137435i | −0.0383260 | + | 0.00762353i | ||||
\(326\) | 13.1190 | − | 2.42897i | 0.726593 | − | 0.134528i | ||||
\(327\) | −4.61305 | − | 0.633404i | −0.255102 | − | 0.0350273i | ||||
\(328\) | −8.52625 | − | 16.2274i | −0.470784 | − | 0.896006i | ||||
\(329\) | 7.68647 | − | 1.01194i | 0.423769 | − | 0.0557902i | ||||
\(330\) | −3.60159 | + | 3.95412i | −0.198261 | + | 0.217667i | ||||
\(331\) | −11.7757 | − | 23.8788i | −0.647251 | − | 1.31249i | −0.934952 | − | 0.354775i | \(-0.884558\pi\) |
0.287701 | − | 0.957720i | \(-0.407109\pi\) | |||||||
\(332\) | 0.183601 | + | 4.71699i | 0.0100764 | + | 0.258879i | ||||
\(333\) | −9.01113 | − | 27.5475i | −0.493807 | − | 1.50959i | ||||
\(334\) | −5.41377 | + | 3.03055i | −0.296228 | + | 0.165825i | ||||
\(335\) | −0.640947 | − | 2.39205i | −0.0350187 | − | 0.130692i | ||||
\(336\) | −6.08331 | − | 0.758813i | −0.331872 | − | 0.0413966i | ||||
\(337\) | −7.87591 | + | 29.3933i | −0.429028 | + | 1.60116i | 0.325937 | + | 0.945391i | \(0.394320\pi\) |
−0.754966 | + | 0.655764i | \(0.772347\pi\) | |||||||
\(338\) | 4.50733 | + | 17.7613i | 0.245166 | + | 0.966086i | ||||
\(339\) | −3.71518 | + | 18.1501i | −0.201781 | + | 0.985777i | ||||
\(340\) | 3.40329 | − | 2.82838i | 0.184569 | − | 0.153390i | ||||
\(341\) | 2.94362 | + | 1.96686i | 0.159406 | + | 0.106512i | ||||
\(342\) | 31.7012 | + | 16.6061i | 1.71420 | + | 0.897952i | ||||
\(343\) | 10.8049 | + | 4.47554i | 0.583411 | + | 0.241657i | ||||
\(344\) | −5.76639 | + | 6.06982i | −0.310903 | + | 0.327263i | ||||
\(345\) | −1.84712 | − | 1.43371i | −0.0994456 | − | 0.0771886i | ||||
\(346\) | 3.27322 | − | 1.56051i | 0.175969 | − | 0.0838934i | ||||
\(347\) | 15.5588 | − | 13.6447i | 0.835242 | − | 0.732487i | −0.130652 | − | 0.991428i | \(-0.541707\pi\) |
0.965893 | + | 0.258941i | \(0.0833736\pi\) | |||||||
\(348\) | 17.3027 | − | 21.1103i | 0.927521 | − | 1.13163i | ||||
\(349\) | 10.3511 | − | 0.678448i | 0.554083 | − | 0.0363165i | 0.214209 | − | 0.976788i | \(-0.431283\pi\) |
0.339873 | + | 0.940471i | \(0.389616\pi\) | |||||||
\(350\) | −3.34635 | − | 2.63904i | −0.178870 | − | 0.141063i | ||||
\(351\) | 0.939658 | − | 0.521834i | 0.0501553 | − | 0.0278535i | ||||
\(352\) | −0.00895453 | + | 9.78233i | −0.000477278 | + | 0.521400i | ||||
\(353\) | 12.5365 | + | 7.23794i | 0.667250 | + | 0.385237i | 0.795034 | − | 0.606565i | \(-0.207453\pi\) |
−0.127784 | + | 0.991802i | \(0.540786\pi\) | |||||||
\(354\) | −1.67931 | − | 4.28042i | −0.0892544 | − | 0.227501i | ||||
\(355\) | −4.48550 | + | 9.09570i | −0.238066 | + | 0.482749i | ||||
\(356\) | −16.3732 | − | 7.29701i | −0.867778 | − | 0.386741i | ||||
\(357\) | 2.02895 | − | 1.75950i | 0.107383 | − | 0.0931227i | ||||
\(358\) | −8.12157 | + | 11.8123i | −0.429238 | + | 0.624301i | ||||
\(359\) | 26.0464 | − | 10.7888i | 1.37468 | − | 0.569410i | 0.431625 | − | 0.902053i | \(-0.357940\pi\) |
0.943053 | + | 0.332642i | \(0.107940\pi\) | |||||||
\(360\) | 9.95704 | + | 3.95593i | 0.524782 | + | 0.208496i | ||||
\(361\) | −48.1817 | − | 19.9575i | −2.53588 | − | 1.05040i | ||||
\(362\) | 8.48259 | + | 13.0673i | 0.445835 | + | 0.686801i | ||||
\(363\) | −11.4920 | − | 7.77135i | −0.603172 | − | 0.407890i | ||||
\(364\) | 0.211384 | − | 0.298869i | 0.0110795 | − | 0.0156650i | ||||
\(365\) | −19.8721 | + | 6.74567i | −1.04015 | + | 0.353085i | ||||
\(366\) | 0.976726 | − | 3.38867i | 0.0510543 | − | 0.177129i | ||||
\(367\) | 6.02629 | − | 1.61474i | 0.314570 | − | 0.0842887i | −0.0980798 | − | 0.995179i | \(-0.531270\pi\) |
0.412650 | + | 0.910890i | \(0.364603\pi\) | |||||||
\(368\) | −4.26367 | + | 0.332417i | −0.222259 | + | 0.0173284i | ||||
\(369\) | 4.82329 | + | 18.8352i | 0.251090 | + | 0.980519i | ||||
\(370\) | 8.42694 | + | 15.0539i | 0.438096 | + | 0.782613i | ||||
\(371\) | −0.248599 | + | 0.283472i | −0.0129066 | + | 0.0147171i | ||||
\(372\) | 1.60607 | − | 6.90757i | 0.0832708 | − | 0.358141i | ||||
\(373\) | −9.68679 | − | 0.634906i | −0.501563 | − | 0.0328742i | −0.187477 | − | 0.982269i | \(-0.560031\pi\) |
−0.314085 | + | 0.949395i | \(0.601698\pi\) | |||||||
\(374\) | −3.18415 | − | 2.86808i | −0.164649 | − | 0.148305i | ||||
\(375\) | 11.1098 | + | 14.6463i | 0.573710 | + | 0.756334i | ||||
\(376\) | −20.2456 | + | 14.2915i | −1.04409 | + | 0.737029i | ||||
\(377\) | 0.623727 | + | 1.50581i | 0.0321236 | + | 0.0775532i | ||||
\(378\) | 6.09194 | + | 2.27346i | 0.313335 | + | 0.116934i | ||||
\(379\) | −6.44185 | + | 1.28136i | −0.330896 | + | 0.0658193i | −0.357742 | − | 0.933820i | \(-0.616453\pi\) |
0.0268466 | + | 0.999640i | \(0.491453\pi\) | |||||||
\(380\) | −20.4222 | − | 6.05745i | −1.04763 | − | 0.310741i | ||||
\(381\) | 2.31569 | + | 38.6156i | 0.118636 | + | 1.97834i | ||||
\(382\) | 3.45353 | + | 4.62661i | 0.176698 | + | 0.236718i | ||||
\(383\) | 6.60102 | + | 11.4333i | 0.337296 | + | 0.584214i | 0.983923 | − | 0.178592i | \(-0.0571543\pi\) |
−0.646627 | + | 0.762806i | \(0.723821\pi\) | |||||||
\(384\) | 18.3419 | − | 6.89734i | 0.936008 | − | 0.351978i | ||||
\(385\) | 0.966049 | − | 1.67325i | 0.0492344 | − | 0.0852765i | ||||
\(386\) | −1.85051 | + | 0.218679i | −0.0941885 | + | 0.0111305i | ||||
\(387\) | 7.43786 | − | 4.85119i | 0.378087 | − | 0.246600i | ||||
\(388\) | 1.70503 | + | 7.11343i | 0.0865597 | + | 0.361129i | ||||
\(389\) | −3.29095 | + | 9.69483i | −0.166858 | + | 0.491547i | −0.997908 | − | 0.0646502i | \(-0.979407\pi\) |
0.831050 | + | 0.556197i | \(0.187740\pi\) | |||||||
\(390\) | −0.488862 | + | 0.412701i | −0.0247545 | + | 0.0208979i | ||||
\(391\) | 1.14050 | − | 1.48633i | 0.0576777 | − | 0.0751671i | ||||
\(392\) | −17.5115 | + | 1.59939i | −0.884466 | + | 0.0807812i | ||||
\(393\) | 5.67636 | − | 13.4915i | 0.286335 | − | 0.680558i | ||||
\(394\) | −4.34289 | + | 20.4133i | −0.218792 | + | 1.02841i | ||||
\(395\) | 7.36523 | − | 11.0228i | 0.370585 | − | 0.554620i | ||||
\(396\) | 2.40586 | − | 10.0929i | 0.120899 | − | 0.507190i | ||||
\(397\) | 23.3100 | + | 4.63664i | 1.16989 | + | 0.232706i | 0.741542 | − | 0.670906i | \(-0.234095\pi\) |
0.428351 | + | 0.903612i | \(0.359095\pi\) | |||||||
\(398\) | 22.2404 | + | 0.295215i | 1.11481 | + | 0.0147978i | ||||
\(399\) | −12.4685 | − | 3.41526i | −0.624207 | − | 0.170977i | ||||
\(400\) | 13.3927 | + | 2.49234i | 0.669637 | + | 0.124617i | ||||
\(401\) | 6.31275 | − | 23.5595i | 0.315244 | − | 1.17651i | −0.608519 | − | 0.793540i | \(-0.708236\pi\) |
0.923762 | − | 0.382966i | \(-0.125097\pi\) | |||||||
\(402\) | 3.33246 | + | 3.46036i | 0.166208 | + | 0.172587i | ||||
\(403\) | 0.318385 | + | 0.279216i | 0.0158599 | + | 0.0139087i | ||||
\(404\) | 0.600992 | + | 1.30491i | 0.0299005 | + | 0.0649216i | ||||
\(405\) | −9.30626 | − | 6.52185i | −0.462432 | − | 0.324073i | ||||
\(406\) | −4.47801 | + | 8.78462i | −0.222240 | + | 0.435973i | ||||
\(407\) | 13.2547 | − | 10.1707i | 0.657010 | − | 0.504141i | ||||
\(408\) | −3.12527 | + | 7.99540i | −0.154724 | + | 0.395831i | ||||
\(409\) | 17.0813 | + | 13.1069i | 0.844616 | + | 0.648096i | 0.937655 | − | 0.347566i | \(-0.112992\pi\) |
−0.0930400 | + | 0.995662i | \(0.529658\pi\) | |||||||
\(410\) | −4.98038 | − | 10.4465i | −0.245964 | − | 0.515916i | ||||
\(411\) | 7.08168 | − | 6.14122i | 0.349314 | − | 0.302924i | ||||
\(412\) | −3.03180 | − | 28.9476i | −0.149366 | − | 1.42615i | ||||
\(413\) | 0.922803 | + | 1.38107i | 0.0454082 | + | 0.0679581i | ||||
\(414\) | 4.48146 | + | 0.701530i | 0.220251 | + | 0.0344783i | ||||
\(415\) | 2.98025i | 0.146295i | ||||||||
\(416\) | −0.153795 | + | 1.15998i | −0.00754040 | + | 0.0568727i | ||||
\(417\) | −0.0602368 | + | 10.8459i | −0.00294981 | + | 0.531125i | ||||
\(418\) | −2.96382 | + | 20.4148i | −0.144965 | + | 0.998520i | ||||
\(419\) | −9.62703 | + | 19.5217i | −0.470311 | + | 0.953696i | 0.524447 | + | 0.851443i | \(0.324272\pi\) |
−0.994758 | + | 0.102254i | \(0.967395\pi\) | |||||||
\(420\) | −3.81907 | − | 0.628079i | −0.186351 | − | 0.0306471i | ||||
\(421\) | 30.8979 | + | 10.4884i | 1.50587 | + | 0.511174i | 0.947867 | − | 0.318665i | \(-0.103235\pi\) |
0.558002 | + | 0.829839i | \(0.311568\pi\) | |||||||
\(422\) | −0.208178 | + | 2.63897i | −0.0101339 | + | 0.128463i | ||||
\(423\) | 24.3944 | − | 9.78847i | 1.18610 | − | 0.475932i | ||||
\(424\) | 0.281991 | − | 1.17174i | 0.0136947 | − | 0.0569049i | ||||
\(425\) | −4.73455 | + | 3.63295i | −0.229659 | + | 0.176224i | ||||
\(426\) | −0.916925 | − | 19.6526i | −0.0444252 | − | 0.952169i | ||||
\(427\) | −0.0833210 | + | 1.27123i | −0.00403219 | + | 0.0615193i | ||||
\(428\) | 4.30288 | + | 25.0963i | 0.207987 | + | 1.21308i | ||||
\(429\) | 0.463538 | + | 0.411089i | 0.0223798 | + | 0.0198476i | ||||
\(430\) | −3.78681 | + | 3.68760i | −0.182616 | + | 0.177832i | ||||
\(431\) | 10.0845 | + | 10.0845i | 0.485751 | + | 0.485751i | 0.906963 | − | 0.421211i | \(-0.138395\pi\) |
−0.421211 | + | 0.906963i | \(0.638395\pi\) | |||||||
\(432\) | −20.6183 | + | 2.62422i | −0.991997 | + | 0.126258i | ||||
\(433\) | −16.0076 | + | 16.0076i | −0.769275 | + | 0.769275i | −0.977979 | − | 0.208704i | \(-0.933076\pi\) |
0.208704 | + | 0.977979i | \(0.433076\pi\) | |||||||
\(434\) | −0.0340026 | + | 2.56163i | −0.00163218 | + | 0.122962i | ||||
\(435\) | 11.4339 | − | 12.8927i | 0.548213 | − | 0.618157i | ||||
\(436\) | −4.54825 | + | 2.86741i | −0.217822 | + | 0.137324i | ||||
\(437\) | −8.99914 | − | 0.589835i | −0.430487 | − | 0.0282156i | ||||
\(438\) | 27.4141 | − | 30.0974i | 1.30990 | − | 1.43811i | ||||
\(439\) | 18.3122 | + | 23.8650i | 0.873995 | + | 1.13901i | 0.989331 | + | 0.145686i | \(0.0465391\pi\) |
−0.115335 | + | 0.993327i | \(0.536794\pi\) | |||||||
\(440\) | −0.245855 | + | 6.17103i | −0.0117207 | + | 0.294192i | ||||
\(441\) | 18.4634 | + | 2.63970i | 0.879207 | + | 0.125700i | ||||
\(442\) | −0.332840 | − | 0.389850i | −0.0158316 | − | 0.0185433i | ||||
\(443\) | −7.42959 | + | 21.8869i | −0.352991 | + | 1.03988i | 0.614922 | + | 0.788588i | \(0.289188\pi\) |
−0.967912 | + | 0.251288i | \(0.919146\pi\) | |||||||
\(444\) | −28.4319 | − | 17.6554i | −1.34932 | − | 0.837890i | ||||
\(445\) | −10.1500 | − | 5.00541i | −0.481155 | − | 0.237279i | ||||
\(446\) | −4.15902 | + | 3.10450i | −0.196935 | + | 0.147002i | ||||
\(447\) | −7.97697 | − | 0.0443032i | −0.377298 | − | 0.00209547i | ||||
\(448\) | −5.94105 | + | 3.84889i | −0.280688 | + | 0.181843i | ||||
\(449\) | −12.8707 | −0.607408 | −0.303704 | − | 0.952766i | \(-0.598223\pi\) | ||||
−0.303704 | + | 0.952766i | \(0.598223\pi\) | |||||||
\(450\) | −13.2104 | − | 5.85319i | −0.622744 | − | 0.275922i | ||||
\(451\) | −9.31867 | + | 6.22654i | −0.438799 | + | 0.293196i | ||||
\(452\) | 10.2007 | + | 18.8038i | 0.479801 | + | 0.884456i | ||||
\(453\) | 14.5453 | + | 16.7728i | 0.683399 | + | 0.788054i | ||||
\(454\) | 10.4717 | − | 29.5539i | 0.491460 | − | 1.38703i | ||||
\(455\) | 0.140692 | − | 0.183353i | 0.00659573 | − | 0.00859572i | ||||
\(456\) | 40.3595 | − | 8.87385i | 1.89001 | − | 0.415556i | ||||
\(457\) | −20.5504 | − | 26.7817i | −0.961305 | − | 1.25280i | −0.967514 | − | 0.252816i | \(-0.918643\pi\) |
0.00620916 | − | 0.999981i | \(-0.498024\pi\) | |||||||
\(458\) | −6.33943 | − | 19.5229i | −0.296222 | − | 0.912247i | ||||
\(459\) | 5.18403 | − | 7.48540i | 0.241970 | − | 0.349389i | ||||
\(460\) | −2.69793 | + | 0.105013i | −0.125792 | + | 0.00489624i | ||||
\(461\) | −22.1720 | + | 25.2823i | −1.03265 | + | 1.17751i | −0.0487494 | + | 0.998811i | \(0.515524\pi\) |
−0.983903 | + | 0.178703i | \(0.942810\pi\) | |||||||
\(462\) | −0.0705614 | + | 3.74747i | −0.00328282 | + | 0.174348i | ||||
\(463\) | −3.65829 | − | 0.980235i | −0.170015 | − | 0.0455554i | 0.172807 | − | 0.984956i | \(-0.444716\pi\) |
−0.342822 | + | 0.939400i | \(0.611383\pi\) | |||||||
\(464\) | −0.389476 | − | 31.5153i | −0.0180810 | − | 1.46306i | ||||
\(465\) | 1.18282 | − | 4.31825i | 0.0548518 | − | 0.200254i | ||||
\(466\) | 15.3972 | − | 14.9938i | 0.713264 | − | 0.694576i | ||||
\(467\) | −5.95704 | + | 29.9481i | −0.275659 | + | 1.38583i | 0.556294 | + | 0.830986i | \(0.312223\pi\) |
−0.831953 | + | 0.554846i | \(0.812777\pi\) | |||||||
\(468\) | 0.442901 | − | 1.15939i | 0.0204731 | − | 0.0535931i | ||||
\(469\) | −1.44296 | − | 0.964157i | −0.0666298 | − | 0.0445206i | ||||
\(470\) | −13.1230 | + | 8.51878i | −0.605320 | + | 0.392942i | ||||
\(471\) | 14.9630 | + | 6.29547i | 0.689460 | + | 0.290080i | ||||
\(472\) | −4.66457 | − | 2.53597i | −0.214704 | − | 0.116728i | ||||
\(473\) | 4.06097 | + | 3.11609i | 0.186723 | + | 0.143278i | ||||
\(474\) | −2.16485 | + | 25.6265i | −0.0994346 | + | 1.17706i | ||||
\(475\) | 27.2027 | + | 9.23408i | 1.24815 | + | 0.423688i | ||||
\(476\) | 0.486236 | − | 3.06271i | 0.0222866 | − | 0.140379i | ||||
\(477\) | −0.578079 | + | 1.14013i | −0.0264684 | + | 0.0522028i | ||||
\(478\) | 25.6166 | + | 20.2021i | 1.17168 | + | 0.924024i | ||||
\(479\) | −3.98933 | − | 2.30324i | −0.182277 | − | 0.105238i | 0.406085 | − | 0.913835i | \(-0.366894\pi\) |
−0.588362 | + | 0.808598i | \(0.700227\pi\) | |||||||
\(480\) | 11.7405 | − | 3.90084i | 0.535878 | − | 0.178048i | ||||
\(481\) | 1.73071 | − | 0.999228i | 0.0789138 | − | 0.0455609i | ||||
\(482\) | 29.7299 | + | 4.31619i | 1.35416 | + | 0.196597i | ||||
\(483\) | −1.63566 | + | 0.0980869i | −0.0744251 | + | 0.00446311i | ||||
\(484\) | −15.9320 | + | 1.66862i | −0.724181 | + | 0.0758464i | ||||
\(485\) | 0.900958 | + | 4.52942i | 0.0409104 | + | 0.205670i | ||||
\(486\) | 21.9205 | + | 2.34323i | 0.994335 | + | 0.106291i | ||||
\(487\) | −0.782908 | + | 0.324291i | −0.0354770 | + | 0.0146950i | −0.400351 | − | 0.916362i | \(-0.631112\pi\) |
0.364874 | + | 0.931057i | \(0.381112\pi\) | |||||||
\(488\) | −1.65427 | − | 3.72105i | −0.0748852 | − | 0.168444i | ||||
\(489\) | −13.0188 | + | 9.87530i | −0.588731 | + | 0.446576i | ||||
\(490\) | −11.0865 | + | 0.578986i | −0.500839 | + | 0.0261559i | ||||
\(491\) | 0.305103 | − | 4.65497i | 0.0137691 | − | 0.210076i | −0.985431 | − | 0.170078i | \(-0.945598\pi\) |
0.999200 | − | 0.0399980i | \(-0.0127352\pi\) | |||||||
\(492\) | 18.2572 | + | 13.0657i | 0.823098 | + | 0.589045i | ||||
\(493\) | 10.3808 | + | 9.10371i | 0.467527 | + | 0.410010i | ||||
\(494\) | −0.670229 | + | 2.37479i | −0.0301550 | + | 0.106847i | ||||
\(495\) | 1.76558 | − | 6.30813i | 0.0793571 | − | 0.283529i | ||||
\(496\) | −3.71236 | − | 7.29912i | −0.166690 | − | 0.327740i | ||||
\(497\) | 1.83943 | + | 6.86486i | 0.0825098 | + | 0.307931i | ||||
\(498\) | −2.79597 | − | 5.06045i | −0.125290 | − | 0.226764i | ||||
\(499\) | −2.47121 | − | 7.27994i | −0.110626 | − | 0.325895i | 0.877492 | − | 0.479592i | \(-0.159215\pi\) |
−0.988118 | + | 0.153697i | \(0.950882\pi\) | |||||||
\(500\) | 20.7020 | + | 4.69236i | 0.925823 | + | 0.209849i | ||||
\(501\) | 4.25662 | − | 6.29452i | 0.190172 | − | 0.281218i | ||||
\(502\) | −2.76430 | + | 12.9933i | −0.123377 | + | 0.579921i | ||||
\(503\) | −15.4049 | + | 37.1906i | −0.686869 | + | 1.65825i | 0.0641282 | + | 0.997942i | \(0.479573\pi\) |
−0.750997 | + | 0.660306i | \(0.770427\pi\) | |||||||
\(504\) | 7.07398 | − | 2.51644i | 0.315100 | − | 0.112091i | ||||
\(505\) | 0.347098 | + | 0.837968i | 0.0154456 | + | 0.0372891i | ||||
\(506\) | 0.476021 | + | 2.57101i | 0.0211617 | + | 0.114295i | ||||
\(507\) | −14.7035 | − | 16.9551i | −0.653004 | − | 0.753003i | ||||
\(508\) | 30.7366 | + | 32.4134i | 1.36372 | + | 1.43811i | ||||
\(509\) | −31.3094 | − | 15.4401i | −1.38776 | − | 0.684369i | −0.413652 | − | 0.910435i | \(-0.635747\pi\) |
−0.974112 | + | 0.226066i | \(0.927414\pi\) | |||||||
\(510\) | −2.16792 | + | 4.96721i | −0.0959973 | + | 0.219952i | ||||
\(511\) | −7.35324 | + | 12.7362i | −0.325288 | + | 0.563415i | ||||
\(512\) | 11.0888 | − | 19.7241i | 0.490058 | − | 0.871690i | ||||
\(513\) | −43.8242 | − | 0.730243i | −1.93488 | − | 0.0322410i | ||||
\(514\) | 24.0518 | − | 2.84225i | 1.06088 | − | 0.125366i | ||||
\(515\) | −1.20182 | − | 18.3363i | −0.0529586 | − | 0.807992i | ||||
\(516\) | 2.97040 | − | 9.81416i | 0.130764 | − | 0.432044i | ||||
\(517\) | 9.99003 | + | 11.3914i | 0.439361 | + | 0.500995i | ||||
\(518\) | 11.3957 | + | 4.03777i | 0.500698 | + | 0.177410i | ||||
\(519\) | −2.72312 | + | 3.50832i | −0.119532 | + | 0.153998i | ||||
\(520\) | −0.125506 | + | 0.728005i | −0.00550380 | + | 0.0319251i | ||||
\(521\) | 4.68836 | − | 11.3187i | 0.205401 | − | 0.495881i | −0.787288 | − | 0.616586i | \(-0.788515\pi\) |
0.992688 | + | 0.120705i | \(0.0385154\pi\) | |||||||
\(522\) | −7.31916 | + | 32.6186i | −0.320351 | + | 1.42768i | ||||
\(523\) | −3.17194 | + | 4.74714i | −0.138699 | + | 0.207578i | −0.894316 | − | 0.447436i | \(-0.852337\pi\) |
0.755617 | + | 0.655014i | \(0.227337\pi\) | |||||||
\(524\) | −5.00605 | − | 16.1430i | −0.218690 | − | 0.705210i | ||||
\(525\) | 5.11354 | + | 1.04670i | 0.223173 | + | 0.0456819i | ||||
\(526\) | −1.30951 | + | 2.20016i | −0.0570972 | + | 0.0959317i | ||||
\(527\) | 3.46514 | + | 0.928482i | 0.150944 | + | 0.0404453i | ||||
\(528\) | −5.37198 | − | 10.7090i | −0.233786 | − | 0.466050i | ||||
\(529\) | 21.1122 | − | 5.65699i | 0.917920 | − | 0.245956i | ||||
\(530\) | 0.206668 | − | 0.732278i | 0.00897710 | − | 0.0318081i | ||||
\(531\) | 4.19243 | + | 3.75986i | 0.181936 | + | 0.163164i | ||||
\(532\) | −13.5588 | + | 6.24468i | −0.587849 | + | 0.270741i | ||||
\(533\) | −1.20235 | + | 0.592933i | −0.0520796 | + | 0.0256828i | ||||
\(534\) | 21.9305 | − | 1.02321i | 0.949024 | − | 0.0442784i | ||||
\(535\) | 2.09826 | + | 15.9378i | 0.0907155 | + | 0.689053i | ||||
\(536\) | 5.51659 | + | 0.582881i | 0.238280 | + | 0.0251766i | ||||
\(537\) | 2.38824 | − | 17.3935i | 0.103060 | − | 0.750584i | ||||
\(538\) | 18.4170 | − | 26.7864i | 0.794013 | − | 1.15484i | ||||
\(539\) | 2.09742 | + | 10.5445i | 0.0903424 | + | 0.454182i | ||||
\(540\) | −13.0716 | + | 1.14923i | −0.562513 | + | 0.0494548i | ||||
\(541\) | −18.6957 | − | 27.9801i | −0.803791 | − | 1.20296i | −0.975973 | − | 0.217892i | \(-0.930082\pi\) |
0.172182 | − | 0.985065i | \(-0.444918\pi\) | |||||||
\(542\) | −10.7131 | − | 26.8670i | −0.460169 | − | 1.15404i | ||||
\(543\) | −16.4709 | − | 9.63183i | −0.706833 | − | 0.413341i | ||||
\(544\) | 3.17769 | + | 9.38939i | 0.136242 | + | 0.402567i | ||||
\(545\) | −2.93971 | + | 1.69724i | −0.125923 | + | 0.0727018i | ||||
\(546\) | −0.0668779 | + | 0.443324i | −0.00286211 | + | 0.0189725i | ||||
\(547\) | 7.94776 | − | 0.520924i | 0.339822 | − | 0.0222731i | 0.105463 | − | 0.994423i | \(-0.466368\pi\) |
0.234359 | + | 0.972150i | \(0.424701\pi\) | |||||||
\(548\) | 1.69712 | − | 10.6899i | 0.0724973 | − | 0.456648i | ||||
\(549\) | 0.795532 | + | 4.24532i | 0.0339525 | + | 0.181186i | ||||
\(550\) | 0.654993 | − | 8.30304i | 0.0279290 | − | 0.354043i | ||||
\(551\) | 8.67531 | − | 65.8955i | 0.369581 | − | 2.80724i | ||||
\(552\) | 4.48254 | − | 2.70941i | 0.190790 | − | 0.115320i | ||||
\(553\) | −1.21263 | − | 9.21082i | −0.0515662 | − | 0.391684i | ||||
\(554\) | −0.808270 | − | 15.4769i | −0.0343401 | − | 0.657552i | ||||
\(555\) | −17.5029 | − | 11.8362i | −0.742957 | − | 0.502419i | ||||
\(556\) | 8.00477 | + | 9.63187i | 0.339478 | + | 0.408482i | ||||
\(557\) | −7.25161 | + | 36.4563i | −0.307261 | + | 1.54470i | 0.450863 | + | 0.892593i | \(0.351116\pi\) |
−0.758124 | + | 0.652111i | \(0.773884\pi\) | |||||||
\(558\) | 2.04282 | + | 8.44203i | 0.0864797 | + | 0.357380i | ||||
\(559\) | 0.432952 | + | 0.432952i | 0.0183119 | + | 0.0183119i | ||||
\(560\) | −3.84246 | + | 2.28222i | −0.162374 | + | 0.0964412i | ||||
\(561\) | 5.06207 | + | 1.38655i | 0.213721 | + | 0.0585404i | ||||
\(562\) | −25.9122 | − | 15.4226i | −1.09304 | − | 0.650562i | ||||
\(563\) | 12.6785 | + | 37.3497i | 0.534336 | + | 1.57410i | 0.793691 | + | 0.608321i | \(0.208157\pi\) |
−0.259355 | + | 0.965782i | \(0.583510\pi\) | |||||||
\(564\) | 14.2908 | − | 26.7764i | 0.601750 | − | 1.12749i | ||||
\(565\) | 5.97346 | + | 12.1130i | 0.251305 | + | 0.509597i | ||||
\(566\) | −2.95980 | − | 9.11500i | −0.124410 | − | 0.383132i | ||||
\(567\) | −7.91671 | + | 0.863826i | −0.332470 | + | 0.0362773i | ||||
\(568\) | −15.4115 | − | 16.6904i | −0.646652 | − | 0.700315i | ||||
\(569\) | 18.7130 | + | 2.46362i | 0.784491 | + | 0.103280i | 0.512122 | − | 0.858913i | \(-0.328860\pi\) |
0.272369 | + | 0.962193i | \(0.412193\pi\) | |||||||
\(570\) | 25.6790 | − | 4.60710i | 1.07557 | − | 0.192970i | ||||
\(571\) | 12.0255 | + | 13.7125i | 0.503253 | + | 0.573850i | 0.946563 | − | 0.322519i | \(-0.104529\pi\) |
−0.443311 | + | 0.896368i | \(0.646196\pi\) | |||||||
\(572\) | 0.715161 | + | 0.0189892i | 0.0299024 | + | 0.000793978i | ||||
\(573\) | −6.32429 | − | 3.16258i | −0.264201 | − | 0.132119i | ||||
\(574\) | −7.45093 | − | 3.20279i | −0.310996 | − | 0.133682i | ||||
\(575\) | 3.64118 | 0.151848 | ||||||||
\(576\) | −16.2756 | + | 17.6381i | −0.678151 | + | 0.734922i | ||||
\(577\) | 17.6303 | 0.733959 | 0.366979 | − | 0.930229i | \(-0.380392\pi\) | ||||
0.366979 | + | 0.930229i | \(0.380392\pi\) | |||||||
\(578\) | 18.0980 | + | 7.77945i | 0.752778 | + | 0.323582i | ||||
\(579\) | 1.90457 | − | 1.25735i | 0.0791512 | − | 0.0522536i | ||||
\(580\) | 0.528159 | − | 19.8912i | 0.0219306 | − | 0.825939i | ||||
\(581\) | 1.37705 | + | 1.57022i | 0.0571296 | + | 0.0651438i | ||||
\(582\) | −5.77916 | − | 6.84567i | −0.239554 | − | 0.283762i | ||||
\(583\) | −0.730548 | − | 0.0961785i | −0.0302562 | − | 0.00398331i | ||||
\(584\) | 1.87136 | − | 46.9718i | 0.0774376 | − | 1.94371i | ||||
\(585\) | 0.307876 | − | 0.720537i | 0.0127291 | − | 0.0297905i | ||||
\(586\) | −10.5562 | − | 32.5089i | −0.436073 | − | 1.34293i | ||||
\(587\) | −9.41911 | − | 19.1001i | −0.388768 | − | 0.788344i | 0.611227 | − | 0.791455i | \(-0.290676\pi\) |
−0.999995 | + | 0.00311153i | \(0.999010\pi\) | |||||||
\(588\) | 18.2817 | − | 11.3841i | 0.753923 | − | 0.469473i | ||||
\(589\) | −5.55084 | − | 16.3523i | −0.228718 | − | 0.673783i | ||||
\(590\) | −2.88041 | − | 1.71438i | −0.118584 | − | 0.0705797i | ||||
\(591\) | −6.47836 | − | 24.7261i | −0.266484 | − | 1.01709i | ||||
\(592\) | −38.2493 | + | 5.51729i | −1.57204 | + | 0.226759i | ||||
\(593\) | 24.2021 | + | 24.2021i | 0.993861 | + | 0.993861i | 0.999981 | − | 0.00612074i | \(-0.00194830\pi\) |
−0.00612074 | + | 0.999981i | \(0.501948\pi\) | |||||||
\(594\) | 2.92012 | + | 12.3676i | 0.119814 | + | 0.507447i | ||||
\(595\) | 0.381951 | − | 1.92019i | 0.0156584 | − | 0.0787203i | ||||
\(596\) | −7.08408 | + | 5.88738i | −0.290175 | + | 0.241156i | ||||
\(597\) | −24.4984 | + | 11.9126i | −1.00265 | + | 0.487550i | ||||
\(598\) | 0.0163115 | + | 0.312337i | 0.000667028 | + | 0.0127724i | ||||
\(599\) | −5.52003 | − | 41.9288i | −0.225542 | − | 1.71316i | −0.612002 | − | 0.790856i | \(-0.709635\pi\) |
0.386460 | − | 0.922306i | \(-0.373698\pi\) | |||||||
\(600\) | −16.0258 | + | 4.64088i | −0.654253 | + | 0.189463i | ||||
\(601\) | 2.09240 | − | 15.8933i | 0.0853506 | − | 0.648303i | −0.894282 | − | 0.447504i | \(-0.852313\pi\) |
0.979633 | − | 0.200799i | \(-0.0643537\pi\) | |||||||
\(602\) | −0.291296 | + | 3.69263i | −0.0118723 | + | 0.150500i | ||||
\(603\) | −5.55020 | − | 1.95305i | −0.226021 | − | 0.0795345i | ||||
\(604\) | 25.3186 | + | 4.01958i | 1.03020 | + | 0.163554i | ||||
\(605\) | −10.0918 | + | 0.661450i | −0.410289 | + | 0.0268918i | ||||
\(606\) | −1.37552 | − | 1.09723i | −0.0558767 | − | 0.0445718i | ||||
\(607\) | −39.3110 | + | 22.6962i | −1.59558 | + | 0.921210i | −0.603259 | + | 0.797546i | \(0.706131\pi\) |
−0.992324 | + | 0.123664i | \(0.960535\pi\) | |||||||
\(608\) | 29.0825 | − | 37.8293i | 1.17945 | − | 1.53418i | ||||
\(609\) | 0.0670684 | − | 12.0760i | 0.00271775 | − | 0.489342i | ||||
\(610\) | −0.952236 | − | 2.38807i | −0.0385549 | − | 0.0966901i | ||||
\(611\) | 1.00690 | + | 1.50693i | 0.0407347 | + | 0.0609638i | ||||
\(612\) | −0.978952 | − | 10.4682i | −0.0395718 | − | 0.423150i | ||||
\(613\) | 4.28627 | + | 21.5485i | 0.173121 | + | 0.870337i | 0.965519 | + | 0.260333i | \(0.0838323\pi\) |
−0.792398 | + | 0.610004i | \(0.791168\pi\) | |||||||
\(614\) | −9.99484 | + | 14.5369i | −0.403359 | + | 0.586661i | ||||
\(615\) | 11.1968 | + | 8.69087i | 0.451501 | + | 0.350450i | ||||
\(616\) | 2.72183 | + | 3.36496i | 0.109666 | + | 0.135578i | ||||
\(617\) | 2.01187 | + | 15.2817i | 0.0809948 | + | 0.615216i | 0.983015 | + | 0.183523i | \(0.0587503\pi\) |
−0.902021 | + | 0.431693i | \(0.857916\pi\) | |||||||
\(618\) | 19.2431 | + | 30.0073i | 0.774072 | + | 1.20707i | ||||
\(619\) | 32.7579 | − | 16.1544i | 1.31665 | − | 0.649301i | 0.357957 | − | 0.933738i | \(-0.383473\pi\) |
0.958695 | + | 0.284437i | \(0.0918067\pi\) | |||||||
\(620\) | −2.16273 | − | 4.69586i | −0.0868575 | − | 0.188590i | ||||
\(621\) | −5.28967 | + | 1.69786i | −0.212267 | + | 0.0681327i | ||||
\(622\) | −7.52131 | + | 26.6499i | −0.301577 | + | 1.06856i | ||||
\(623\) | −7.66056 | + | 2.05264i | −0.306914 | + | 0.0822373i | ||||
\(624\) | −0.469881 | − | 1.35389i | −0.0188103 | − | 0.0541990i | ||||
\(625\) | −3.50332 | − | 0.938710i | −0.140133 | − | 0.0375484i | ||||
\(626\) | 8.67349 | − | 14.5728i | 0.346662 | − | 0.582445i | ||||
\(627\) | −7.98819 | − | 23.9690i | −0.319017 | − | 0.957228i | ||||
\(628\) | 17.9037 | − | 5.55205i | 0.714434 | − | 0.221551i | ||||
\(629\) | 9.40554 | − | 14.0764i | 0.375024 | − | 0.561262i | ||||
\(630\) | 4.52446 | − | 1.41381i | 0.180259 | − | 0.0563277i | ||||
\(631\) | 18.0099 | − | 43.4797i | 0.716962 | − | 1.73090i | 0.0351391 | − | 0.999382i | \(-0.488813\pi\) |
0.681823 | − | 0.731517i | \(-0.261187\pi\) | |||||||
\(632\) | 17.1258 | + | 24.2607i | 0.681227 | + | 0.965038i | ||||
\(633\) | −1.22405 | − | 3.00216i | −0.0486515 | − | 0.119325i | ||||
\(634\) | 36.1383 | + | 12.8047i | 1.43523 | + | 0.508539i | ||||
\(635\) | 18.5945 | + | 21.2030i | 0.737900 | + | 0.841414i | ||||
\(636\) | 0.336076 | + | 1.43729i | 0.0133263 | + | 0.0569923i | ||||
\(637\) | 0.0841088 | + | 1.28325i | 0.00333251 | + | 0.0508443i | ||||
\(638\) | −19.1367 | + | 2.26142i | −0.757628 | + | 0.0895305i | ||||
\(639\) | 11.8152 | + | 20.9999i | 0.467404 | + | 0.830743i | ||||
\(640\) | 7.47974 | − | 12.1708i | 0.295663 | − | 0.481093i | ||||
\(641\) | −15.4691 | + | 26.7933i | −0.610994 | + | 1.05827i | 0.380079 | + | 0.924954i | \(0.375897\pi\) |
−0.991073 | + | 0.133319i | \(0.957436\pi\) | |||||||
\(642\) | −18.5151 | − | 25.0938i | −0.730735 | − | 0.990373i | ||||
\(643\) | −19.0995 | − | 9.41884i | −0.753211 | − | 0.371443i | 0.0248004 | − | 0.999692i | \(-0.492105\pi\) |
−0.778012 | + | 0.628250i | \(0.783772\pi\) | |||||||
\(644\) | −1.37295 | + | 1.30193i | −0.0541018 | + | 0.0513031i | ||||
\(645\) | 2.11488 | − | 6.11839i | 0.0832734 | − | 0.240911i | ||||
\(646\) | 3.80558 | + | 20.5541i | 0.149728 | + | 0.808689i | ||||
\(647\) | −7.76894 | − | 18.7559i | −0.305428 | − | 0.737369i | −0.999842 | − | 0.0177930i | \(-0.994336\pi\) |
0.694413 | − | 0.719576i | \(-0.255664\pi\) | |||||||
\(648\) | 21.1173 | − | 14.2147i | 0.829567 | − | 0.558407i | ||||
\(649\) | −1.24224 | + | 2.99903i | −0.0487621 | + | 0.117722i | ||||
\(650\) | 0.207314 | − | 0.974461i | 0.00813154 | − | 0.0382215i | ||||
\(651\) | −1.37208 | − | 2.82171i | −0.0537762 | − | 0.110592i | ||||
\(652\) | −4.17094 | + | 18.4016i | −0.163346 | + | 0.720661i | ||||
\(653\) | −1.37746 | − | 4.05787i | −0.0539042 | − | 0.158797i | 0.916643 | − | 0.399706i | \(-0.130888\pi\) |
−0.970548 | + | 0.240909i | \(0.922554\pi\) | |||||||
\(654\) | 3.39930 | − | 5.63983i | 0.132923 | − | 0.220535i | ||||
\(655\) | −2.76171 | − | 10.3068i | −0.107909 | − | 0.402722i | ||||
\(656\) | 25.8455 | − | 2.01504i | 1.00910 | − | 0.0786741i | ||||
\(657\) | −13.4390 | + | 48.0154i | −0.524307 | + | 1.87326i | ||||
\(658\) | −2.97804 | + | 10.5519i | −0.116096 | + | 0.411357i | ||||
\(659\) | 24.0189 | + | 21.0640i | 0.935644 | + | 0.820538i | 0.983977 | − | 0.178294i | \(-0.0570577\pi\) |
−0.0483336 | + | 0.998831i | \(0.515391\pi\) | |||||||
\(660\) | −3.12599 | − | 6.88776i | −0.121679 | − | 0.268106i | ||||
\(661\) | −0.925532 | + | 14.1209i | −0.0359990 | + | 0.549239i | 0.941327 | + | 0.337497i | \(0.109580\pi\) |
−0.977326 | + | 0.211742i | \(0.932086\pi\) | |||||||
\(662\) | 37.6014 | − | 1.96370i | 1.46142 | − | 0.0763216i | ||||
\(663\) | 0.578680 | + | 0.243471i | 0.0224741 | + | 0.00945563i | ||||
\(664\) | −6.23116 | − | 2.39585i | −0.241816 | − | 0.0929768i | ||||
\(665\) | −8.70701 | + | 3.60656i | −0.337643 | + | 0.139856i | ||||
\(666\) | 40.8241 | + | 3.67715i | 1.58190 | + | 0.142487i | ||||
\(667\) | −1.64350 | − | 8.26245i | −0.0636367 | − | 0.319923i | ||||
\(668\) | −0.913957 | − | 8.72645i | −0.0353620 | − | 0.337637i | ||||
\(669\) | 2.84296 | − | 5.68513i | 0.109915 | − | 0.219800i | ||||
\(670\) | 3.46587 | + | 0.503175i | 0.133898 | + | 0.0194393i | ||||
\(671\) | −2.15616 | + | 1.24486i | −0.0832378 | + | 0.0480574i | ||||
\(672\) | 4.38337 | − | 7.48004i | 0.169092 | − | 0.288549i | ||||
\(673\) | −0.689637 | − | 0.398162i | −0.0265835 | − | 0.0153480i | 0.486649 | − | 0.873597i | \(-0.338219\pi\) |
−0.513233 | + | 0.858249i | \(0.671552\pi\) | |||||||
\(674\) | −33.7911 | − | 26.6488i | −1.30158 | − | 1.02647i | ||||
\(675\) | 17.6753 | − | 0.863034i | 0.680323 | − | 0.0332182i | ||||
\(676\) | −25.5939 | − | 4.06328i | −0.984380 | − | 0.156280i | ||||
\(677\) | 25.5447 | + | 8.67124i | 0.981761 | + | 0.333263i | 0.765757 | − | 0.643130i | \(-0.222364\pi\) |
0.216003 | + | 0.976393i | \(0.430698\pi\) | |||||||
\(678\) | −21.5069 | − | 14.9636i | −0.825966 | − | 0.574675i | ||||
\(679\) | 2.56754 | + | 1.97015i | 0.0985333 | + | 0.0756073i | ||||
\(680\) | 1.77411 | + | 6.00139i | 0.0680339 | + | 0.230143i | ||||
\(681\) | 4.80080 | + | 38.0997i | 0.183967 | + | 1.45998i | ||||
\(682\) | −4.19945 | + | 2.72606i | −0.160805 | + | 0.104386i | ||||
\(683\) | 8.60496 | + | 5.74965i | 0.329260 | + | 0.220004i | 0.709201 | − | 0.705006i | \(-0.249056\pi\) |
−0.379941 | + | 0.925011i | \(0.624056\pi\) | |||||||
\(684\) | −39.2805 | + | 31.9139i | −1.50193 | + | 1.22026i | ||||
\(685\) | 1.33313 | − | 6.70209i | 0.0509362 | − | 0.256074i | ||||
\(686\) | −11.8494 | + | 11.5389i | −0.452410 | + | 0.440557i | ||||
\(687\) | 17.6774 | + | 17.8748i | 0.674434 | + | 0.681968i | ||||
\(688\) | −4.66584 | − | 10.8820i | −0.177883 | − | 0.414872i | ||||
\(689\) | −0.0851367 | − | 0.0228123i | −0.00324345 | − | 0.000869079i | ||||
\(690\) | 2.89437 | − | 1.59918i | 0.110187 | − | 0.0608799i | ||||
\(691\) | 7.68412 | − | 8.76206i | 0.292318 | − | 0.333324i | −0.586976 | − | 0.809604i | \(-0.699682\pi\) |
0.879294 | + | 0.476280i | \(0.158015\pi\) | |||||||
\(692\) | 0.199455 | + | 5.12430i | 0.00758215 | + | 0.194797i | ||||
\(693\) | −1.98447 | − | 4.13940i | −0.0753839 | − | 0.157243i | ||||
\(694\) | 9.03866 | + | 27.8355i | 0.343103 | + | 1.05662i | ||||
\(695\) | 4.81336 | + | 6.27289i | 0.182581 | + | 0.237944i | ||||
\(696\) | 17.7645 | + | 34.2706i | 0.673360 | + | 1.29903i | ||||
\(697\) | −6.91349 | + | 9.00983i | −0.261867 | + | 0.341272i | ||||
\(698\) | −4.89951 | + | 13.8277i | −0.185449 | + | 0.523388i | ||||
\(699\) | −8.59915 | + | 24.8775i | −0.325250 | + | 0.940954i | ||||
\(700\) | 5.29772 | − | 2.87392i | 0.200235 | − | 0.108624i | ||||
\(701\) | 24.5775 | − | 16.4222i | 0.928281 | − | 0.620257i | 0.00318645 | − | 0.999995i | \(-0.498986\pi\) |
0.925094 | + | 0.379738i | \(0.123986\pi\) | |||||||
\(702\) | 0.153211 | + | 1.51230i | 0.00578258 | + | 0.0570782i | ||||
\(703\) | −81.4943 | −3.07362 | ||||||||
\(704\) | −12.7048 | − | 5.47497i | −0.478831 | − | 0.206346i | ||||
\(705\) | 9.67292 | − | 16.5411i | 0.364303 | − | 0.622976i | ||||
\(706\) | −16.4055 | + | 12.2459i | −0.617429 | + | 0.460880i | ||||
\(707\) | 0.570066 | + | 0.281126i | 0.0214395 | + | 0.0105728i | ||||
\(708\) | 6.49927 | + | 0.208698i | 0.244258 | + | 0.00784334i | ||||
\(709\) | 5.41061 | − | 15.9391i | 0.203200 | − | 0.598607i | −0.796784 | − | 0.604264i | \(-0.793467\pi\) |
0.999984 | + | 0.00565700i | \(0.00180069\pi\) | |||||||
\(710\) | −9.31261 | − | 10.9077i | −0.349496 | − | 0.409359i | ||||
\(711\) | −11.7297 | − | 29.2322i | −0.439897 | − | 1.09629i | ||||
\(712\) | 18.6250 | − | 17.1978i | 0.698002 | − | 0.644516i | ||||
\(713\) | −1.33246 | − | 1.73650i | −0.0499011 | − | 0.0650323i | ||||
\(714\) | 1.15291 | + | 3.61881i | 0.0431466 | + | 0.135430i | ||||
\(715\) | 0.450698 | + | 0.0295403i | 0.0168552 | + | 0.00110474i | ||||
\(716\) | −10.8115 | − | 17.1491i | −0.404046 | − | 0.640893i | ||||
\(717\) | −39.1447 | − | 8.01261i | −1.46188 | − | 0.299237i | ||||
\(718\) | −0.529183 | + | 39.8667i | −0.0197489 | + | 1.48781i | ||||
\(719\) | −26.3752 | + | 26.3752i | −0.983627 | + | 0.983627i | −0.999868 | − | 0.0162407i | \(-0.994830\pi\) |
0.0162407 | + | 0.999868i | \(0.494830\pi\) | |||||||
\(720\) | −10.7007 | + | 10.7275i | −0.398792 | + | 0.399790i | ||||
\(721\) | −9.10562 | − | 9.10562i | −0.339111 | − | 0.339111i | ||||
\(722\) | 52.8391 | − | 51.4547i | 1.96647 | − | 1.91495i | ||||
\(723\) | −34.9058 | + | 11.6331i | −1.29816 | + | 0.432641i | ||||
\(724\) | −21.7153 | + | 3.72318i | −0.807042 | + | 0.138371i | ||||
\(725\) | −1.75508 | + | 26.7773i | −0.0651819 | + | 0.994483i | ||||
\(726\) | 16.5152 | − | 10.5909i | 0.612936 | − | 0.393065i | ||||
\(727\) | 18.1144 | − | 13.8997i | 0.671825 | − | 0.515510i | −0.215588 | − | 0.976484i | \(-0.569167\pi\) |
0.887413 | + | 0.460975i | \(0.152500\pi\) | |||||||
\(728\) | 0.270254 | + | 0.441559i | 0.0100163 | + | 0.0163653i | ||||
\(729\) | −25.2751 | + | 9.49564i | −0.936116 | + | 0.351690i | ||||
\(730\) | 2.33396 | − | 29.5865i | 0.0863837 | − | 1.09505i | ||||
\(731\) | 4.91160 | + | 1.66726i | 0.181662 | + | 0.0616660i | ||||
\(732\) | 3.85729 | + | 3.16157i | 0.142570 | + | 0.116855i | ||||
\(733\) | 19.2701 | − | 39.0760i | 0.711759 | − | 1.44330i | −0.176660 | − | 0.984272i | \(-0.556529\pi\) |
0.888419 | − | 0.459033i | \(-0.151804\pi\) | |||||||
\(734\) | −1.26765 | + | 8.73156i | −0.0467898 | + | 0.322288i | ||||
\(735\) | 11.8127 | − | 6.73284i | 0.435716 | − | 0.248345i | ||||
\(736\) | 1.94932 | − | 5.72529i | 0.0718529 | − | 0.211037i | ||||
\(737\) | − | 3.39159i | − | 0.124931i | ||||||
\(738\) | −27.1656 | − | 4.25252i | −0.999980 | − | 0.156538i | ||||
\(739\) | −6.28764 | − | 9.41012i | −0.231295 | − | 0.346157i | 0.697609 | − | 0.716479i | \(-0.254247\pi\) |
−0.928903 | + | 0.370322i | \(0.879247\pi\) | |||||||
\(740\) | −24.2653 | + | 2.54140i | −0.892010 | + | 0.0934239i | ||||
\(741\) | −0.573116 | − | 2.96728i | −0.0210540 | − | 0.109006i | ||||
\(742\) | −0.229466 | − | 0.481312i | −0.00842395 | − | 0.0176695i | ||||
\(743\) | −41.8794 | − | 32.1352i | −1.53641 | − | 1.17893i | −0.920267 | − | 0.391291i | \(-0.872029\pi\) |
−0.616140 | − | 0.787636i | \(-0.711305\pi\) | |||||||
\(744\) | 8.07779 | + | 5.94452i | 0.296146 | + | 0.217937i | ||||
\(745\) | −4.61361 | + | 3.54014i | −0.169029 | + | 0.129701i | ||||
\(746\) | 6.23488 | − | 12.2311i | 0.228275 | − | 0.447813i | ||||
\(747\) | 5.84345 | + | 3.99906i | 0.213801 | + | 0.146318i | ||||
\(748\) | 5.50471 | − | 2.53526i | 0.201272 | − | 0.0926984i | ||||
\(749\) | 8.46971 | + | 7.42774i | 0.309477 | + | 0.271404i | ||||
\(750\) | −25.2342 | + | 6.25479i | −0.921423 | + | 0.228393i | ||||
\(751\) | 6.42133 | − | 23.9647i | 0.234318 | − | 0.874486i | −0.744137 | − | 0.668027i | \(-0.767139\pi\) |
0.978455 | − | 0.206459i | \(-0.0661941\pi\) | |||||||
\(752\) | −7.26150 | − | 34.2861i | −0.264800 | − | 1.25029i | ||||
\(753\) | −4.12356 | − | 15.7384i | −0.150271 | − | 0.573541i | ||||
\(754\) | −2.30479 | − | 0.0305934i | −0.0839356 | − | 0.00111415i | ||||
\(755\) | 15.8737 | + | 3.15748i | 0.577704 | + | 0.114913i | ||||
\(756\) | −6.35611 | + | 6.64534i | −0.231169 | + | 0.241689i | ||||
\(757\) | −11.8732 | + | 17.7695i | −0.431539 | + | 0.645844i | −0.981970 | − | 0.189037i | \(-0.939464\pi\) |
0.550431 | + | 0.834881i | \(0.314464\pi\) | |||||||
\(758\) | 1.93288 | − | 9.08530i | 0.0702053 | − | 0.329993i | ||||
\(759\) | −1.93532 | − | 2.55138i | −0.0702478 | − | 0.0926091i | ||||
\(760\) | 19.2758 | − | 23.1508i | 0.699207 | − | 0.839766i | ||||
\(761\) | −30.5210 | + | 39.7758i | −1.10639 | + | 1.44187i | −0.222040 | + | 0.975037i | \(0.571272\pi\) |
−0.884346 | + | 0.466833i | \(0.845395\pi\) | |||||||
\(762\) | −51.4652 | − | 18.5577i | −1.86439 | − | 0.672276i | ||||
\(763\) | −0.764636 | + | 2.25255i | −0.0276817 | + | 0.0815477i | ||||
\(764\) | −7.93995 | + | 1.90314i | −0.287257 | + | 0.0688532i | ||||
\(765\) | −0.360532 | − | 6.62795i | −0.0130351 | − | 0.239634i | ||||
\(766\) | −18.5415 | + | 2.19109i | −0.669931 | + | 0.0791672i | ||||
\(767\) | −0.194146 | + | 0.336270i | −0.00701019 | + | 0.0121420i | ||||
\(768\) | −1.28232 | + | 27.6831i | −0.0462718 | + | 0.998929i | ||||
\(769\) | 12.6034 | + | 21.8297i | 0.454489 | + | 0.787198i | 0.998659 | − | 0.0517770i | \(-0.0164885\pi\) |
−0.544170 | + | 0.838975i | \(0.683155\pi\) | |||||||
\(770\) | 1.63446 | + | 2.18964i | 0.0589019 | + | 0.0789093i | ||||
\(771\) | −24.7544 | + | 16.3422i | −0.891508 | + | 0.588551i | ||||
\(772\) | 0.749369 | − | 2.52643i | 0.0269704 | − | 0.0909283i | ||||
\(773\) | −11.8355 | + | 2.35423i | −0.425694 | + | 0.0846758i | −0.403288 | − | 0.915073i | \(-0.632133\pi\) |
−0.0224060 | + | 0.999749i | \(0.507133\pi\) | |||||||
\(774\) | 2.14901 | + | 12.3731i | 0.0772446 | + | 0.444741i | ||||
\(775\) | 2.66814 | + | 6.44147i | 0.0958426 | + | 0.231384i | ||||
\(776\) | −10.1945 | − | 1.75749i | −0.365960 | − | 0.0630904i | ||||
\(777\) | −14.6909 | + | 1.85114i | −0.527032 | + | 0.0664094i | ||||
\(778\) | −10.7582 | − | 9.69028i | −0.385700 | − | 0.347413i | ||||
\(779\) | 54.5509 | + | 3.57545i | 1.95449 | + | 0.128104i | ||||
\(780\) | −0.263183 | − | 0.865650i | −0.00942346 | − | 0.0309952i | ||||
\(781\) | −9.15790 | + | 10.4426i | −0.327696 | + | 0.373665i | ||||
\(782\) | 1.29418 | + | 2.31192i | 0.0462798 | + | 0.0826740i | ||||
\(783\) | −9.93640 | − | 39.7187i | −0.355098 | − | 1.41943i | ||||
\(784\) | 7.70199 | − | 23.6454i | 0.275071 | − | 0.844477i | ||||
\(785\) | 11.4310 | − | 3.06292i | 0.407989 | − | 0.109320i | ||||
\(786\) | 14.3589 | + | 14.9100i | 0.512164 | + | 0.531821i | ||||
\(787\) | 39.0856 | − | 13.2678i | 1.39325 | − | 0.472945i | 0.478901 | − | 0.877869i | \(-0.341035\pi\) |
0.914350 | + | 0.404924i | \(0.132702\pi\) | |||||||
\(788\) | −24.0969 | − | 17.0432i | −0.858415 | − | 0.607139i | ||||
\(789\) | 0.222467 | − | 3.12791i | 0.00792003 | − | 0.111356i | ||||
\(790\) | 10.2082 | + | 15.7255i | 0.363191 | + | 0.559489i | ||||
\(791\) | 8.74416 | + | 3.62195i | 0.310907 | + | 0.128782i | ||||
\(792\) | 11.7698 | + | 8.76265i | 0.418220 | + | 0.311367i | ||||
\(793\) | −0.275143 | + | 0.113968i | −0.00977062 | + | 0.00404713i | ||||
\(794\) | −19.0426 | + | 27.6963i | −0.675797 | + | 0.982905i | ||||
\(795\) | 0.176723 | + | 0.914977i | 0.00626773 | + | 0.0324509i | ||||
\(796\) | −12.8046 | + | 28.7313i | −0.453846 | + | 1.01835i | ||||
\(797\) | −14.1019 | + | 28.5958i | −0.499515 | + | 1.01292i | 0.490432 | + | 0.871479i | \(0.336839\pi\) |
−0.989947 | + | 0.141437i | \(0.954828\pi\) | |||||||
\(798\) | 11.4009 | − | 14.2925i | 0.403587 | − | 0.505950i | ||||
\(799\) | 13.2962 | + | 7.67655i | 0.470385 | + | 0.271577i | ||||
\(800\) | −10.7179 | + | 16.0088i | −0.378936 | + | 0.565995i | ||||
\(801\) | −23.4340 | + | 13.1847i | −0.827999 | + | 0.465860i | ||||
\(802\) | 27.0844 | + | 21.3597i | 0.956385 | + | 0.754237i | ||||
\(803\) | −28.6796 | + | 1.87976i | −1.01208 | + | 0.0663353i | ||||
\(804\) | −6.35707 | + | 2.39717i | −0.224197 | + | 0.0845416i | ||||
\(805\) | −0.898104 | + | 0.787616i | −0.0316540 | + | 0.0277598i | ||||
\(806\) | −0.540590 | + | 0.257727i | −0.0190415 | + | 0.00907805i | ||||
\(807\) | −5.41573 | + | 39.4425i | −0.190643 | + | 1.38844i | ||||
\(808\) | −2.03107 | + | 0.0520691i | −0.0714528 | + | 0.00183179i | ||||
\(809\) | 32.3533 | + | 13.4012i | 1.13748 | + | 0.471160i | 0.870318 | − | 0.492491i | \(-0.163913\pi\) |
0.267164 | + | 0.963651i | \(0.413913\pi\) | |||||||
\(810\) | 13.6711 | − | 8.44891i | 0.480352 | − | 0.296865i | ||||
\(811\) | 20.7894 | + | 13.8910i | 0.730015 | + | 0.487780i | 0.864183 | − | 0.503178i | \(-0.167836\pi\) |
−0.134168 | + | 0.990959i | \(0.542836\pi\) | |||||||
\(812\) | −8.91262 | − | 10.7242i | −0.312772 | − | 0.376347i | ||||
\(813\) | 26.5036 | + | 23.5047i | 0.929521 | + | 0.824346i | ||||
\(814\) | 5.81179 | + | 22.9016i | 0.203703 | + | 0.802699i | ||||
\(815\) | −3.08312 | + | 11.5063i | −0.107997 | + | 0.403050i | ||||
\(816\) | −8.64271 | − | 8.52590i | −0.302556 | − | 0.298466i | ||||
\(817\) | −6.46225 | − | 24.1174i | −0.226085 | − | 0.843763i | ||||
\(818\) | −26.5691 | + | 14.8730i | −0.928967 | + | 0.520023i | ||||
\(819\) | −0.170717 | − | 0.521890i | −0.00596533 | − | 0.0182363i | ||||
\(820\) | 16.3543 | − | 0.636564i | 0.571116 | − | 0.0222298i | ||||
\(821\) | 9.03662 | + | 18.3245i | 0.315380 | + | 0.639528i | 0.995623 | − | 0.0934590i | \(-0.0297924\pi\) |
−0.680243 | + | 0.732987i | \(0.738126\pi\) | |||||||
\(822\) | 4.02403 | + | 12.6308i | 0.140354 | + | 0.440549i | ||||
\(823\) | 28.9210 | − | 3.80752i | 1.00812 | − | 0.132722i | 0.391663 | − | 0.920109i | \(-0.371900\pi\) |
0.616459 | + | 0.787387i | \(0.288567\pi\) | |||||||
\(824\) | 39.3039 | + | 12.2279i | 1.36922 | + | 0.425977i | ||||
\(825\) | 3.85124 | + | 9.44575i | 0.134083 | + | 0.328859i | ||||
\(826\) | −2.30975 | + | 0.427650i | −0.0803666 | + | 0.0148799i | ||||
\(827\) | −41.0675 | + | 8.16884i | −1.42806 | + | 0.284058i | −0.847775 | − | 0.530356i | \(-0.822058\pi\) |
−0.580283 | + | 0.814415i | \(0.697058\pi\) | |||||||
\(828\) | −3.41432 | + | 5.43080i | −0.118656 | + | 0.188733i | ||||
\(829\) | −1.63136 | + | 1.09004i | −0.0566595 | + | 0.0378586i | −0.583577 | − | 0.812058i | \(-0.698348\pi\) |
0.526918 | + | 0.849916i | \(0.323348\pi\) | |||||||
\(830\) | −3.87214 | − | 1.66444i | −0.134404 | − | 0.0577736i | ||||
\(831\) | 9.39912 | + | 16.4906i | 0.326052 | + | 0.572052i | ||||
\(832\) | −1.42123 | − | 0.847658i | −0.0492722 | − | 0.0293872i | ||||
\(833\) | 5.44707 | + | 9.43460i | 0.188730 | + | 0.326889i | ||||
\(834\) | −14.0580 | − | 6.13558i | −0.486790 | − | 0.212458i | ||||
\(835\) | −0.362297 | − | 5.52758i | −0.0125378 | − | 0.191290i | ||||
\(836\) | −24.8690 | − | 15.2522i | −0.860111 | − | 0.527510i | ||||
\(837\) | −6.87973 | − | 8.11363i | −0.237798 | − | 0.280448i | ||||
\(838\) | −19.9872 | − | 23.4107i | −0.690447 | − | 0.808710i | ||||
\(839\) | −30.1689 | − | 3.97181i | −1.04155 | − | 0.137122i | −0.409704 | − | 0.912219i | \(-0.634368\pi\) |
−0.631843 | + | 0.775097i | \(0.717701\pi\) | |||||||
\(840\) | 2.94895 | − | 4.61120i | 0.101748 | − | 0.159102i | ||||
\(841\) | 32.8025 | − | 4.31853i | 1.13112 | − | 0.148915i | ||||
\(842\) | −30.8834 | + | 34.2868i | −1.06431 | + | 1.18160i | ||||
\(843\) | 36.8386 | + | 2.62008i | 1.26879 | + | 0.0902404i | ||||
\(844\) | −3.31246 | − | 1.74432i | −0.114020 | − | 0.0600419i | ||||
\(845\) | −16.0463 | − | 3.19181i | −0.552010 | − | 0.109802i | ||||
\(846\) | −0.906203 | + | 37.1615i | −0.0311559 | + | 1.27764i | ||||
\(847\) | −5.01148 | + | 5.01148i | −0.172196 | + | 0.172196i | ||||
\(848\) | 1.36491 | + | 1.02079i | 0.0468714 | + | 0.0350540i | ||||
\(849\) | 8.25334 | + | 8.34553i | 0.283254 | + | 0.286418i | ||||
\(850\) | −2.07596 | − | 8.18040i | −0.0712049 | − | 0.280585i | ||||
\(851\) | −9.78122 | + | 3.32028i | −0.335296 | + | 0.113818i | ||||
\(852\) | 26.0460 | + | 9.78443i | 0.892320 | + | 0.335209i | ||||
\(853\) | 4.15202 | − | 2.04755i | 0.142162 | − | 0.0701067i | −0.369816 | − | 0.929105i | \(-0.620579\pi\) |
0.511979 | + | 0.858998i | \(0.328913\pi\) | |||||||
\(854\) | −1.60513 | − | 0.818227i | −0.0549266 | − | 0.0279992i | ||||
\(855\) | −25.5640 | + | 19.1686i | −0.874270 | + | 0.655552i | ||||
\(856\) | −35.0099 | − | 8.42547i | −1.19661 | − | 0.287976i | ||||
\(857\) | −1.73062 | + | 13.1454i | −0.0591168 | + | 0.449037i | 0.936130 | + | 0.351654i | \(0.114381\pi\) |
−0.995247 | + | 0.0973830i | \(0.968953\pi\) | |||||||
\(858\) | −0.792995 | + | 0.372670i | −0.0270724 | + | 0.0127227i | ||||
\(859\) | 28.4754 | − | 24.9723i | 0.971569 | − | 0.852043i | −0.0174476 | − | 0.999848i | \(-0.505554\pi\) |
0.989017 | + | 0.147805i | \(0.0472207\pi\) | |||||||
\(860\) | −2.67627 | − | 6.97955i | −0.0912600 | − | 0.238001i | ||||
\(861\) | 9.91502 | − | 0.594582i | 0.337903 | − | 0.0202633i | ||||
\(862\) | −18.7344 | + | 7.47031i | −0.638098 | + | 0.254440i | ||||
\(863\) | 4.37104i | 0.148792i | 0.997229 | + | 0.0743959i | \(0.0237029\pi\) | ||||
−0.997229 | + | 0.0743959i | \(0.976297\pi\) | |||||||
\(864\) | 8.10554 | − | 28.2542i | 0.275756 | − | 0.961228i | ||||
\(865\) | 3.23760i | 0.110082i | ||||||||
\(866\) | −11.8580 | − | 29.7382i | −0.402952 | − | 1.01054i | ||||
\(867\) | −24.0832 | + | 1.44422i | −0.817909 | + | 0.0490481i | ||||
\(868\) | −3.30925 | − | 1.47482i | −0.112323 | − | 0.0500588i | ||||
\(869\) | 13.6506 | − | 11.9712i | 0.463063 | − | 0.406096i | ||||
\(870\) | 10.3653 | + | 22.0561i | 0.351417 | + | 0.747771i | ||||
\(871\) | 0.0529534 | − | 0.402221i | 0.00179426 | − | 0.0136287i | ||||
\(872\) | −1.18537 | − | 7.51080i | −0.0401416 | − | 0.254348i | ||||
\(873\) | 10.0899 | + | 4.31128i | 0.341491 | + | 0.145915i | ||||
\(874\) | 5.79228 | − | 11.3628i | 0.195927 | − | 0.384354i | ||||
\(875\) | 8.42296 | − | 4.15374i | 0.284748 | − | 0.140422i | ||||
\(876\) | 23.7940 | + | 52.4273i | 0.803925 | + | 1.77135i | ||||
\(877\) | 39.5975 | − | 13.4415i | 1.33711 | − | 0.453888i | 0.440916 | − | 0.897548i | \(-0.354654\pi\) |
0.896195 | + | 0.443660i | \(0.146320\pi\) | |||||||
\(878\) | −41.2341 | + | 10.4641i | −1.39158 | + | 0.353146i | ||||
\(879\) | 29.4358 | + | 29.7646i | 0.992844 | + | 1.00393i | ||||
\(880\) | −7.88049 | − | 3.76589i | −0.265651 | − | 0.126948i | ||||
\(881\) | 20.8689 | − | 20.8689i | 0.703092 | − | 0.703092i | −0.261981 | − | 0.965073i | \(-0.584376\pi\) |
0.965073 | + | 0.261981i | \(0.0843757\pi\) | |||||||
\(882\) | −13.7413 | + | 22.5145i | −0.462692 | + | 0.758104i | ||||
\(883\) | 40.2037 | + | 7.99700i | 1.35296 | + | 0.269121i | 0.817738 | − | 0.575590i | \(-0.195228\pi\) |
0.535223 | + | 0.844711i | \(0.320228\pi\) | |||||||
\(884\) | 0.692406 | − | 0.214720i | 0.0232882 | − | 0.00722181i | ||||
\(885\) | 4.09499 | + | 0.291249i | 0.137651 | + | 0.00979022i | ||||
\(886\) | −24.2875 | − | 21.8766i | −0.815954 | − | 0.734959i | ||||
\(887\) | −31.2620 | + | 4.11572i | −1.04968 | + | 0.138192i | −0.635575 | − | 0.772039i | \(-0.719237\pi\) |
−0.414100 | + | 0.910231i | \(0.635904\pi\) | |||||||
\(888\) | 38.8180 | − | 27.0801i | 1.30265 | − | 0.908750i | ||||
\(889\) | 19.5940 | + | 2.57959i | 0.657160 | + | 0.0865168i | ||||
\(890\) | 12.1720 | − | 10.3920i | 0.408007 | − | 0.348342i | ||||
\(891\) | −9.99933 | − | 11.9264i | −0.334990 | − | 0.399549i | ||||
\(892\) | −1.71080 | − | 7.13750i | −0.0572818 | − | 0.238981i | ||||
\(893\) | −4.83367 | − | 73.7476i | −0.161753 | − | 2.46787i | ||||
\(894\) | 4.51262 | − | 10.3395i | 0.150925 | − | 0.345803i | ||||
\(895\) | −6.39943 | − | 11.0841i | −0.213909 | − | 0.370502i | ||||
\(896\) | −1.68271 | − | 9.86856i | −0.0562154 | − | 0.329685i | ||||
\(897\) | −0.189682 | − | 0.332793i | −0.00633329 | − | 0.0111116i | ||||
\(898\) | 7.18818 | − | 16.7225i | 0.239873 | − | 0.558037i | ||||
\(899\) | 13.4125 | − | 8.96194i | 0.447331 | − | 0.298897i | ||||
\(900\) | 14.9827 | − | 13.8948i | 0.499424 | − | 0.463162i | ||||
\(901\) | −0.732313 | + | 0.145666i | −0.0243969 | + | 0.00485284i | ||||
\(902\) | −2.88554 | − | 15.5849i | −0.0960779 | − | 0.518920i | ||||
\(903\) | −1.71277 | − | 4.20083i | −0.0569974 | − | 0.139795i | ||||
\(904\) | −30.1281 | + | 2.75170i | −1.00205 | + | 0.0915201i | ||||
\(905\) | −13.7907 | + | 1.81558i | −0.458417 | + | 0.0603518i | ||||
\(906\) | −29.9157 | + | 9.53081i | −0.993883 | + | 0.316640i | ||||
\(907\) | 15.6415 | + | 31.7178i | 0.519367 | + | 1.05317i | 0.985692 | + | 0.168558i | \(0.0539110\pi\) |
−0.466325 | + | 0.884613i | \(0.654422\pi\) | |||||||
\(908\) | 32.5500 | + | 30.1110i | 1.08021 | + | 0.999269i | ||||
\(909\) | 2.10877 | + | 0.443867i | 0.0699436 | + | 0.0147221i | ||||
\(910\) | 0.159649 | + | 0.285197i | 0.00529232 | + | 0.00945417i | ||||
\(911\) | −3.35807 | − | 12.5325i | −0.111258 | − | 0.415219i | 0.887722 | − | 0.460380i | \(-0.152287\pi\) |
−0.998980 | + | 0.0451605i | \(0.985620\pi\) | |||||||
\(912\) | −11.0109 | + | 57.3937i | −0.364607 | + | 1.90049i | ||||
\(913\) | −1.05640 | + | 3.94253i | −0.0349617 | + | 0.130479i | ||||
\(914\) | 46.2737 | − | 11.7430i | 1.53060 | − | 0.388424i | ||||
\(915\) | 2.35577 | + | 2.08921i | 0.0778792 | + | 0.0690672i | ||||
\(916\) | 28.9060 | + | 2.66676i | 0.955080 | + | 0.0881122i | ||||
\(917\) | −6.21743 | − | 4.15435i | −0.205317 | − | 0.137189i | ||||
\(918\) | 6.83029 | + | 10.9160i | 0.225433 | + | 0.360280i | ||||
\(919\) | −36.6496 | − | 15.1808i | −1.20896 | − | 0.500768i | −0.315076 | − | 0.949066i | \(-0.602030\pi\) |
−0.893884 | + | 0.448299i | \(0.852030\pi\) | |||||||
\(920\) | 1.37033 | − | 3.56397i | 0.0451784 | − | 0.117501i | ||||
\(921\) | 2.93910 | − | 21.4053i | 0.0968466 | − | 0.705330i | ||||
\(922\) | −20.4656 | − | 42.9272i | −0.673998 | − | 1.41373i | ||||
\(923\) | −1.24911 | + | 1.09544i | −0.0411149 | + | 0.0360568i | ||||
\(924\) | −4.82955 | − | 2.18460i | −0.158880 | − | 0.0718681i | ||||
\(925\) | 32.8327 | − | 2.15197i | 1.07953 | − | 0.0707563i | ||||
\(926\) | 3.31670 | − | 4.20563i | 0.108994 | − | 0.138206i | ||||
\(927\) | −37.5650 | − | 22.2481i | −1.23380 | − | 0.730724i | ||||
\(928\) | 41.1643 | + | 17.0950i | 1.35128 | + | 0.561170i | ||||
\(929\) | 48.4915 | + | 27.9966i | 1.59095 | + | 0.918538i | 0.993144 | + | 0.116901i | \(0.0372959\pi\) |
0.597811 | + | 0.801637i | \(0.296037\pi\) | |||||||
\(930\) | 4.94996 | + | 3.94849i | 0.162316 | + | 0.129476i | ||||
\(931\) | 23.1943 | − | 47.0334i | 0.760162 | − | 1.54146i | ||||
\(932\) | 10.8818 | + | 28.3790i | 0.356444 | + | 0.929585i | ||||
\(933\) | −6.43151 | − | 33.2989i | −0.210558 | − | 1.09016i | ||||
\(934\) | −35.5835 | − | 24.4655i | −1.16433 | − | 0.800535i | ||||
\(935\) | 3.53494 | − | 1.46422i | 0.115605 | − | 0.0478851i | ||||
\(936\) | 1.25901 | + | 1.22296i | 0.0411519 | + | 0.0399736i | ||||
\(937\) | −19.4179 | − | 8.04314i | −0.634354 | − | 0.262758i | 0.0422480 | − | 0.999107i | \(-0.486548\pi\) |
−0.676602 | + | 0.736349i | \(0.736548\pi\) | |||||||
\(938\) | 2.05857 | − | 1.33632i | 0.0672149 | − | 0.0436323i | ||||
\(939\) | −1.47351 | + | 20.7176i | −0.0480861 | + | 0.676095i | ||||
\(940\) | −3.73907 | − | 21.8079i | −0.121955 | − | 0.711296i | ||||
\(941\) | −35.4803 | + | 12.0439i | −1.15662 | + | 0.392621i | −0.832842 | − | 0.553511i | \(-0.813288\pi\) |
−0.323782 | + | 0.946132i | \(0.604954\pi\) | |||||||
\(942\) | −16.5362 | + | 15.9250i | −0.538778 | + | 0.518864i | ||||
\(943\) | 6.69305 | − | 1.79340i | 0.217956 | − | 0.0584011i | ||||
\(944\) | 5.90002 | − | 4.64420i | 0.192029 | − | 0.151156i | ||||
\(945\) | −4.17297 | + | 4.03618i | −0.135747 | + | 0.131297i | ||||
\(946\) | −6.31663 | + | 3.53597i | −0.205371 | + | 0.114964i | ||||
\(947\) | −19.0598 | + | 21.7336i | −0.619362 | + | 0.706247i | −0.973433 | − | 0.228972i | \(-0.926464\pi\) |
0.354071 | + | 0.935218i | \(0.384797\pi\) | |||||||
\(948\) | −32.0866 | − | 17.1249i | −1.04212 | − | 0.556189i | ||||
\(949\) | −3.43056 | − | 0.224851i | −0.111361 | − | 0.00729897i | ||||
\(950\) | −27.1899 | + | 30.1864i | −0.882158 | + | 0.979376i | ||||
\(951\) | −46.5880 | + | 5.87039i | −1.51072 | + | 0.190360i | ||||
\(952\) | 3.70772 | + | 2.34224i | 0.120168 | + | 0.0759126i | ||||
\(953\) | −20.2969 | − | 49.0011i | −0.657481 | − | 1.58730i | −0.801681 | − | 0.597752i | \(-0.796061\pi\) |
0.144199 | − | 0.989549i | \(-0.453939\pi\) | |||||||
\(954\) | −1.15847 | − | 1.38783i | −0.0375070 | − | 0.0449326i | ||||
\(955\) | −5.05570 | + | 1.00564i | −0.163599 | + | 0.0325418i | ||||
\(956\) | −40.5545 | + | 22.0001i | −1.31163 | + | 0.711534i | ||||
\(957\) | 19.6957 | − | 13.0026i | 0.636672 | − | 0.420315i | ||||
\(958\) | 5.22052 | − | 3.89686i | 0.168667 | − | 0.125902i | ||||
\(959\) | −2.39436 | − | 4.14715i | −0.0773178 | − | 0.133918i | ||||
\(960\) | −1.48872 | + | 17.4326i | −0.0480483 | + | 0.562635i | ||||
\(961\) | −13.4044 | + | 23.2171i | −0.432400 | + | 0.748940i | ||||
\(962\) | 0.331676 | + | 2.80672i | 0.0106937 | + | 0.0904921i | ||||
\(963\) | 34.0652 | + | 17.2721i | 1.09774 | + | 0.556586i | ||||
\(964\) | −22.2117 | + | 36.2165i | −0.715391 | + | 1.16645i | ||||
\(965\) | 0.534782 | − | 1.57542i | 0.0172152 | − | 0.0507144i | ||||
\(966\) | 0.786059 | − | 2.17994i | 0.0252910 | − | 0.0701383i | ||||
\(967\) | −28.3901 | + | 36.9987i | −0.912963 | + | 1.18980i | 0.0684049 | + | 0.997658i | \(0.478209\pi\) |
−0.981368 | + | 0.192139i | \(0.938458\pi\) | |||||||
\(968\) | 6.72987 | − | 21.6318i | 0.216306 | − | 0.695272i | ||||
\(969\) | −15.4721 | − | 20.3971i | −0.497034 | − | 0.655250i | ||||
\(970\) | −6.38809 | − | 1.35905i | −0.205109 | − | 0.0436366i | ||||
\(971\) | −20.5761 | + | 30.7944i | −0.660320 | + | 0.988238i | 0.338561 | + | 0.940944i | \(0.390060\pi\) |
−0.998881 | + | 0.0472938i | \(0.984940\pi\) | |||||||
\(972\) | −15.2869 | + | 27.1719i | −0.490326 | + | 0.871539i | ||||
\(973\) | 5.43447 | + | 1.08098i | 0.174221 | + | 0.0346547i | ||||
\(974\) | 0.0159063 | − | 1.19832i | 0.000509670 | − | 0.0383966i | ||||
\(975\) | 0.309254 | + | 1.18034i | 0.00990406 | + | 0.0378010i | ||||
\(976\) | 5.75852 | − | 0.0711655i | 0.184326 | − | 0.00227795i | ||||
\(977\) | 7.97723 | − | 29.7714i | 0.255214 | − | 0.952473i | −0.712757 | − | 0.701411i | \(-0.752554\pi\) |
0.967971 | − | 0.251061i | \(-0.0807796\pi\) | |||||||
\(978\) | −5.55975 | − | 22.4301i | −0.177781 | − | 0.717237i | ||||
\(979\) | −11.6530 | − | 10.2194i | −0.372431 | − | 0.326613i | ||||
\(980\) | 5.43947 | − | 14.7277i | 0.173757 | − | 0.470460i | ||||
\(981\) | −0.616834 | + | 8.04139i | −0.0196940 | + | 0.256742i | ||||
\(982\) | 5.87764 | + | 2.99616i | 0.187563 | + | 0.0956113i | ||||
\(983\) | −13.4203 | + | 10.2977i | −0.428040 | + | 0.328447i | −0.800212 | − | 0.599717i | \(-0.795280\pi\) |
0.372172 | + | 0.928164i | \(0.378613\pi\) | |||||||
\(984\) | −27.1722 | + | 16.4239i | −0.866219 | + | 0.523575i | ||||
\(985\) | −14.7832 | − | 11.3435i | −0.471031 | − | 0.361435i | ||||
\(986\) | −17.6257 | + | 8.40306i | −0.561316 | + | 0.267608i | ||||
\(987\) | −2.54653 | − | 13.1846i | −0.0810571 | − | 0.419669i | ||||
\(988\) | −2.71116 | − | 2.19710i | −0.0862536 | − | 0.0698991i | ||||
\(989\) | −1.75822 | − | 2.63137i | −0.0559083 | − | 0.0836726i | ||||
\(990\) | 7.20987 | + | 5.81699i | 0.229145 | + | 0.184876i | ||||
\(991\) | − | 46.5008i | − | 1.47715i | −0.674172 | − | 0.738574i | \(-0.735500\pi\) | ||
0.674172 | − | 0.738574i | \(-0.264500\pi\) | |||||||
\(992\) | 11.5568 | − | 0.746849i | 0.366929 | − | 0.0237125i | ||||
\(993\) | −40.0641 | + | 22.8353i | −1.27140 | + | 0.724656i | ||||
\(994\) | −9.94657 | − | 1.44404i | −0.315486 | − | 0.0458023i | ||||
\(995\) | −8.78336 | + | 17.8109i | −0.278451 | + | 0.564643i | ||||
\(996\) | 8.13638 | − | 0.806499i | 0.257811 | − | 0.0255549i | ||||
\(997\) | 50.0899 | + | 17.0032i | 1.58636 | + | 0.538497i | 0.968761 | − | 0.247994i | \(-0.0797715\pi\) |
0.617601 | + | 0.786492i | \(0.288105\pi\) | |||||||
\(998\) | 10.8387 | + | 0.855022i | 0.343094 | + | 0.0270653i | ||||
\(999\) | −46.6938 | + | 18.4359i | −1.47733 | + | 0.583286i |
(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 | 576.2.bm.a.205.35 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.28 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.28 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.35 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.28 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.28 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.35 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.35 | yes | 1504 | 576.517 | even | 48 | inner |