Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,2,Mod(41,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 294 = 2 \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 294.j (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.34760181943\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 251.15 | ||
Character | \(\chi\) | \(=\) | 294.251 |
Dual form | 294.2.j.a.41.15 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.781831 | + | 0.623490i | 0.552838 | + | 0.440874i | ||||
\(3\) | −0.423824 | − | 1.67940i | −0.244695 | − | 0.969600i | ||||
\(4\) | 0.222521 | + | 0.974928i | 0.111260 | + | 0.487464i | ||||
\(5\) | −2.99870 | − | 1.44410i | −1.34106 | − | 0.645820i | −0.380730 | − | 0.924686i | \(-0.624327\pi\) |
−0.960330 | + | 0.278866i | \(0.910041\pi\) | |||||||
\(6\) | 0.715728 | − | 1.57726i | 0.292195 | − | 0.643912i | ||||
\(7\) | −2.37504 | − | 1.16585i | −0.897680 | − | 0.440648i | ||||
\(8\) | −0.433884 | + | 0.900969i | −0.153401 | + | 0.318541i | ||||
\(9\) | −2.64075 | + | 1.42354i | −0.880249 | + | 0.474512i | ||||
\(10\) | −1.44410 | − | 2.99870i | −0.456664 | − | 0.948273i | ||||
\(11\) | −1.67851 | − | 1.33856i | −0.506089 | − | 0.403592i | 0.336886 | − | 0.941545i | \(-0.390626\pi\) |
−0.842975 | + | 0.537953i | \(0.819198\pi\) | |||||||
\(12\) | 1.54298 | − | 0.786899i | 0.445420 | − | 0.227158i | ||||
\(13\) | 0.710524 | + | 0.566624i | 0.197064 | + | 0.157153i | 0.717051 | − | 0.697021i | \(-0.245492\pi\) |
−0.519987 | + | 0.854174i | \(0.674063\pi\) | |||||||
\(14\) | −1.12999 | − | 2.39231i | −0.302001 | − | 0.639371i | ||||
\(15\) | −1.15429 | + | 5.64805i | −0.298037 | + | 1.45832i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | 0.575231 | − | 2.52025i | 0.139514 | − | 0.611251i | −0.856028 | − | 0.516930i | \(-0.827075\pi\) |
0.995542 | − | 0.0943213i | \(-0.0300681\pi\) | |||||||
\(18\) | −2.95218 | − | 0.533512i | −0.695835 | − | 0.125750i | ||||
\(19\) | − | 1.40567i | − | 0.322484i | −0.986915 | − | 0.161242i | \(-0.948450\pi\) | ||
0.986915 | − | 0.161242i | \(-0.0515499\pi\) | |||||||
\(20\) | 0.740618 | − | 3.24486i | 0.165607 | − | 0.725573i | ||||
\(21\) | −0.951320 | + | 4.48274i | −0.207595 | + | 0.978215i | ||||
\(22\) | −0.477728 | − | 2.09306i | −0.101852 | − | 0.446243i | ||||
\(23\) | 3.48656 | − | 0.795785i | 0.726998 | − | 0.165933i | 0.157023 | − | 0.987595i | \(-0.449810\pi\) |
0.569975 | + | 0.821662i | \(0.306953\pi\) | |||||||
\(24\) | 1.69697 | + | 0.346811i | 0.346393 | + | 0.0707924i | ||||
\(25\) | 3.78934 | + | 4.75168i | 0.757868 | + | 0.950336i | ||||
\(26\) | 0.202226 | + | 0.886009i | 0.0396597 | + | 0.173761i | ||||
\(27\) | 3.50990 | + | 3.83153i | 0.675480 | + | 0.737379i | ||||
\(28\) | 0.608120 | − | 2.57492i | 0.114924 | − | 0.486613i | ||||
\(29\) | −2.07865 | − | 0.474438i | −0.385996 | − | 0.0881010i | 0.0251194 | − | 0.999684i | \(-0.492003\pi\) |
−0.411115 | + | 0.911583i | \(0.634861\pi\) | |||||||
\(30\) | −4.42396 | + | 3.69614i | −0.807702 | + | 0.674819i | ||||
\(31\) | − | 10.3551i | − | 1.85984i | −0.367764 | − | 0.929919i | \(-0.619877\pi\) | ||
0.367764 | − | 0.929919i | \(-0.380123\pi\) | |||||||
\(32\) | −0.974928 | − | 0.222521i | −0.172345 | − | 0.0393365i | ||||
\(33\) | −1.53659 | + | 3.38620i | −0.267486 | + | 0.589461i | ||||
\(34\) | 2.02109 | − | 1.61176i | 0.346613 | − | 0.276415i | ||||
\(35\) | 5.43843 | + | 6.92581i | 0.919263 | + | 1.17068i | ||||
\(36\) | −1.97547 | − | 2.25777i | −0.329245 | − | 0.376295i | ||||
\(37\) | 0.219886 | − | 0.963384i | 0.0361490 | − | 0.158379i | −0.953632 | − | 0.300975i | \(-0.902688\pi\) |
0.989781 | + | 0.142596i | \(0.0455450\pi\) | |||||||
\(38\) | 0.876424 | − | 1.09900i | 0.142175 | − | 0.178281i | ||||
\(39\) | 0.650449 | − | 1.43340i | 0.104155 | − | 0.229528i | ||||
\(40\) | 2.60218 | − | 2.07517i | 0.411440 | − | 0.328112i | ||||
\(41\) | 3.83518 | + | 1.84693i | 0.598955 | + | 0.288442i | 0.708691 | − | 0.705519i | \(-0.249286\pi\) |
−0.109736 | + | 0.993961i | \(0.535000\pi\) | |||||||
\(42\) | −3.53872 | + | 2.91161i | −0.546036 | + | 0.449271i | ||||
\(43\) | −8.38225 | + | 4.03668i | −1.27828 | + | 0.615588i | −0.944948 | − | 0.327221i | \(-0.893888\pi\) |
−0.333333 | + | 0.942809i | \(0.608173\pi\) | |||||||
\(44\) | 0.931501 | − | 1.93428i | 0.140429 | − | 0.291604i | ||||
\(45\) | 9.97454 | − | 0.455266i | 1.48692 | − | 0.0678670i | ||||
\(46\) | 3.22207 | + | 1.55167i | 0.475068 | + | 0.228781i | ||||
\(47\) | 8.09957 | − | 10.1565i | 1.18144 | − | 1.48148i | 0.340597 | − | 0.940209i | \(-0.389371\pi\) |
0.840847 | − | 0.541274i | \(-0.182058\pi\) | |||||||
\(48\) | 1.11052 | + | 1.32919i | 0.160289 | + | 0.191853i | ||||
\(49\) | 4.28161 | + | 5.53786i | 0.611658 | + | 0.791122i | ||||
\(50\) | 6.07763i | 0.859506i | ||||||||
\(51\) | −4.47630 | + | 0.102102i | −0.626808 | + | 0.0142972i | ||||
\(52\) | −0.394311 | + | 0.818796i | −0.0546811 | + | 0.113547i | ||||
\(53\) | −2.54258 | + | 0.580328i | −0.349251 | + | 0.0797142i | −0.393548 | − | 0.919304i | \(-0.628752\pi\) |
0.0442969 | + | 0.999018i | \(0.485895\pi\) | |||||||
\(54\) | 0.355226 | + | 5.18400i | 0.0483402 | + | 0.705452i | ||||
\(55\) | 3.10032 | + | 6.43789i | 0.418047 | + | 0.868084i | ||||
\(56\) | 2.08088 | − | 1.63399i | 0.278069 | − | 0.218352i | ||||
\(57\) | −2.36068 | + | 0.595759i | −0.312680 | + | 0.0789101i | ||||
\(58\) | −1.32935 | − | 1.66695i | −0.174552 | − | 0.218881i | ||||
\(59\) | −10.4774 | + | 5.04565i | −1.36404 | + | 0.656887i | −0.965534 | − | 0.260278i | \(-0.916186\pi\) |
−0.398507 | + | 0.917165i | \(0.630471\pi\) | |||||||
\(60\) | −5.76330 | + | 0.131458i | −0.744039 | + | 0.0169712i | ||||
\(61\) | −11.6752 | − | 2.66479i | −1.49486 | − | 0.341191i | −0.604555 | − | 0.796563i | \(-0.706649\pi\) |
−0.890301 | + | 0.455372i | \(0.849506\pi\) | |||||||
\(62\) | 6.45632 | − | 8.09597i | 0.819954 | − | 1.02819i | ||||
\(63\) | 7.93150 | − | 0.302250i | 0.999275 | − | 0.0380800i | ||||
\(64\) | −0.623490 | − | 0.781831i | −0.0779362 | − | 0.0977289i | ||||
\(65\) | −1.31239 | − | 2.72520i | −0.162782 | − | 0.338020i | ||||
\(66\) | −3.31261 | + | 1.68939i | −0.407754 | + | 0.207949i | ||||
\(67\) | 10.8344 | 1.32363 | 0.661815 | − | 0.749667i | \(-0.269786\pi\) | ||||
0.661815 | + | 0.749667i | \(0.269786\pi\) | |||||||
\(68\) | 2.58507 | 0.313485 | ||||||||
\(69\) | −2.81413 | − | 5.51804i | −0.338781 | − | 0.664295i | ||||
\(70\) | −0.0662367 | + | 8.80562i | −0.00791679 | + | 1.05247i | ||||
\(71\) | 15.3625 | − | 3.50639i | 1.82319 | − | 0.416131i | 0.832702 | − | 0.553722i | \(-0.186793\pi\) |
0.990489 | + | 0.137590i | \(0.0439358\pi\) | |||||||
\(72\) | −0.136786 | − | 2.99688i | −0.0161204 | − | 0.353186i | ||||
\(73\) | −8.78824 | + | 7.00839i | −1.02859 | + | 0.820270i | −0.983898 | − | 0.178731i | \(-0.942801\pi\) |
−0.0446877 | + | 0.999001i | \(0.514229\pi\) | |||||||
\(74\) | 0.772574 | − | 0.616107i | 0.0898099 | − | 0.0716210i | ||||
\(75\) | 6.37394 | − | 8.37768i | 0.736000 | − | 0.967371i | ||||
\(76\) | 1.37043 | − | 0.312792i | 0.157199 | − | 0.0358797i | ||||
\(77\) | 2.42596 | + | 5.13602i | 0.276463 | + | 0.585304i | ||||
\(78\) | 1.40225 | − | 0.715129i | 0.158774 | − | 0.0809724i | ||||
\(79\) | −4.17117 | −0.469293 | −0.234647 | − | 0.972081i | \(-0.575393\pi\) | ||||
−0.234647 | + | 0.972081i | \(0.575393\pi\) | |||||||
\(80\) | 3.32831 | 0.372116 | ||||||||
\(81\) | 4.94708 | − | 7.51840i | 0.549676 | − | 0.835378i | ||||
\(82\) | 1.84693 | + | 3.83518i | 0.203959 | + | 0.423525i | ||||
\(83\) | −0.660744 | − | 0.828546i | −0.0725260 | − | 0.0909448i | 0.744245 | − | 0.667907i | \(-0.232810\pi\) |
−0.816771 | + | 0.576962i | \(0.804238\pi\) | |||||||
\(84\) | −4.58204 | + | 0.0700356i | −0.499942 | + | 0.00764151i | ||||
\(85\) | −5.36444 | + | 6.72680i | −0.581855 | + | 0.729623i | ||||
\(86\) | −9.07033 | − | 2.07024i | −0.978079 | − | 0.223240i | ||||
\(87\) | 0.0842117 | + | 3.69196i | 0.00902844 | + | 0.395819i | ||||
\(88\) | 1.93428 | − | 0.931501i | 0.206195 | − | 0.0992984i | ||||
\(89\) | −4.11724 | − | 5.16285i | −0.436426 | − | 0.547261i | 0.514171 | − | 0.857688i | \(-0.328100\pi\) |
−0.950597 | + | 0.310426i | \(0.899528\pi\) | |||||||
\(90\) | 8.08226 | + | 5.86308i | 0.851945 | + | 0.618023i | ||||
\(91\) | −1.02692 | − | 2.17412i | −0.107651 | − | 0.227909i | ||||
\(92\) | 1.55167 | + | 3.22207i | 0.161772 | + | 0.335924i | ||||
\(93\) | −17.3904 | + | 4.38876i | −1.80330 | + | 0.455093i | ||||
\(94\) | 12.6650 | − | 2.89070i | 1.30629 | − | 0.298153i | ||||
\(95\) | −2.02993 | + | 4.21520i | −0.208267 | + | 0.432470i | ||||
\(96\) | 0.0394970 | + | 1.73160i | 0.00403114 | + | 0.176731i | ||||
\(97\) | 19.0032i | 1.92948i | 0.263209 | + | 0.964739i | \(0.415219\pi\) | ||||
−0.263209 | + | 0.964739i | \(0.584781\pi\) | |||||||
\(98\) | −0.105303 | + | 6.99921i | −0.0106372 | + | 0.707027i | ||||
\(99\) | 6.33801 | + | 1.14539i | 0.636994 | + | 0.115116i | ||||
\(100\) | −3.78934 | + | 4.75168i | −0.378934 | + | 0.475168i | ||||
\(101\) | −12.0818 | − | 5.81829i | −1.20218 | − | 0.578942i | −0.277887 | − | 0.960614i | \(-0.589634\pi\) |
−0.924298 | + | 0.381672i | \(0.875348\pi\) | |||||||
\(102\) | −3.56337 | − | 2.71110i | −0.352827 | − | 0.268439i | ||||
\(103\) | −2.84231 | + | 5.90212i | −0.280061 | + | 0.581554i | −0.992787 | − | 0.119889i | \(-0.961746\pi\) |
0.712726 | + | 0.701443i | \(0.247460\pi\) | |||||||
\(104\) | −0.818796 | + | 0.394311i | −0.0802895 | + | 0.0386654i | ||||
\(105\) | 9.32625 | − | 12.0686i | 0.910149 | − | 1.17778i | ||||
\(106\) | −2.34970 | − | 1.13156i | −0.228223 | − | 0.109906i | ||||
\(107\) | 1.23750 | − | 0.986869i | 0.119633 | − | 0.0954043i | −0.561846 | − | 0.827242i | \(-0.689909\pi\) |
0.681479 | + | 0.731838i | \(0.261337\pi\) | |||||||
\(108\) | −2.95444 | + | 4.27449i | −0.284291 | + | 0.411313i | ||||
\(109\) | 5.20422 | − | 6.52589i | 0.498474 | − | 0.625066i | −0.467410 | − | 0.884040i | \(-0.654813\pi\) |
0.965884 | + | 0.258974i | \(0.0833844\pi\) | |||||||
\(110\) | −1.59003 | + | 6.96636i | −0.151603 | + | 0.664216i | ||||
\(111\) | −1.71110 | + | 0.0390293i | −0.162410 | + | 0.00370450i | ||||
\(112\) | 2.64568 | + | 0.0199010i | 0.249993 | + | 0.00188047i | ||||
\(113\) | −1.40133 | + | 1.11752i | −0.131826 | + | 0.105127i | −0.687183 | − | 0.726484i | \(-0.741153\pi\) |
0.555357 | + | 0.831612i | \(0.312582\pi\) | |||||||
\(114\) | −2.21711 | − | 1.00608i | −0.207651 | − | 0.0942280i | ||||
\(115\) | −11.6043 | − | 2.64862i | −1.08211 | − | 0.246985i | ||||
\(116\) | − | 2.13211i | − | 0.197961i | ||||||
\(117\) | −2.68292 | − | 0.484853i | −0.248036 | − | 0.0448247i | ||||
\(118\) | −11.3375 | − | 2.58770i | −1.04370 | − | 0.238217i | ||||
\(119\) | −4.30442 | + | 5.31506i | −0.394586 | + | 0.487231i | ||||
\(120\) | −4.58789 | − | 3.49058i | −0.418815 | − | 0.318645i | ||||
\(121\) | −1.42210 | − | 6.23063i | −0.129282 | − | 0.566421i | ||||
\(122\) | −7.46657 | − | 9.36279i | −0.675992 | − | 0.847667i | ||||
\(123\) | 1.47628 | − | 7.22357i | 0.133112 | − | 0.651327i | ||||
\(124\) | 10.0955 | − | 2.30424i | 0.906604 | − | 0.206926i | ||||
\(125\) | −0.798111 | − | 3.49675i | −0.0713852 | − | 0.312759i | ||||
\(126\) | 6.38954 | + | 4.70890i | 0.569226 | + | 0.419502i | ||||
\(127\) | 1.54639 | − | 6.77517i | 0.137220 | − | 0.601200i | −0.858819 | − | 0.512279i | \(-0.828801\pi\) |
0.996039 | − | 0.0889202i | \(-0.0283416\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 10.3318 | + | 12.3663i | 0.909663 | + | 1.08879i | ||||
\(130\) | 0.673070 | − | 2.94891i | 0.0590321 | − | 0.258637i | ||||
\(131\) | 15.9694 | − | 7.69048i | 1.39526 | − | 0.671920i | 0.423063 | − | 0.906100i | \(-0.360955\pi\) |
0.972193 | + | 0.234180i | \(0.0752406\pi\) | |||||||
\(132\) | −3.64322 | − | 0.744565i | −0.317102 | − | 0.0648060i | ||||
\(133\) | −1.63880 | + | 3.33853i | −0.142102 | + | 0.289487i | ||||
\(134\) | 8.47066 | + | 6.75512i | 0.731753 | + | 0.583554i | ||||
\(135\) | −4.99202 | − | 16.5583i | −0.429645 | − | 1.42511i | ||||
\(136\) | 2.02109 | + | 1.61176i | 0.173307 | + | 0.138208i | ||||
\(137\) | −0.953498 | − | 1.97996i | −0.0814628 | − | 0.169159i | 0.856259 | − | 0.516547i | \(-0.172783\pi\) |
−0.937721 | + | 0.347388i | \(0.887069\pi\) | |||||||
\(138\) | 1.24027 | − | 6.06876i | 0.105579 | − | 0.516607i | ||||
\(139\) | 8.66404 | − | 17.9911i | 0.734874 | − | 1.52598i | −0.111718 | − | 0.993740i | \(-0.535635\pi\) |
0.846592 | − | 0.532242i | \(-0.178650\pi\) | |||||||
\(140\) | −5.54200 | + | 6.84322i | −0.468385 | + | 0.578357i | ||||
\(141\) | −20.4896 | − | 9.29780i | −1.72554 | − | 0.783016i | ||||
\(142\) | 14.1971 | + | 6.83695i | 1.19139 | + | 0.573744i | ||||
\(143\) | −0.434157 | − | 1.90217i | −0.0363060 | − | 0.159067i | ||||
\(144\) | 1.76158 | − | 2.42834i | 0.146798 | − | 0.202362i | ||||
\(145\) | 5.54811 | + | 4.42447i | 0.460746 | + | 0.367432i | ||||
\(146\) | −11.2406 | −0.930277 | ||||||||
\(147\) | 7.48561 | − | 9.53759i | 0.617403 | − | 0.786647i | ||||
\(148\) | 0.988159 | 0.0812262 | ||||||||
\(149\) | 2.48116 | + | 1.97866i | 0.203265 | + | 0.162098i | 0.719832 | − | 0.694148i | \(-0.244219\pi\) |
−0.516567 | + | 0.856247i | \(0.672790\pi\) | |||||||
\(150\) | 10.2067 | − | 2.57584i | 0.833377 | − | 0.210317i | ||||
\(151\) | −3.66448 | − | 16.0551i | −0.298211 | − | 1.30655i | −0.872789 | − | 0.488098i | \(-0.837691\pi\) |
0.574578 | − | 0.818450i | \(-0.305166\pi\) | |||||||
\(152\) | 1.26647 | + | 0.609899i | 0.102724 | + | 0.0494694i | ||||
\(153\) | 2.06863 | + | 7.47421i | 0.167239 | + | 0.604254i | ||||
\(154\) | −1.30557 | + | 5.52806i | −0.105206 | + | 0.445464i | ||||
\(155\) | −14.9538 | + | 31.0520i | −1.20112 | + | 2.49415i | ||||
\(156\) | 1.54220 | + | 0.315180i | 0.123475 | + | 0.0252346i | ||||
\(157\) | −4.00137 | − | 8.30892i | −0.319344 | − | 0.663124i | 0.678070 | − | 0.734997i | \(-0.262817\pi\) |
−0.997414 | + | 0.0718730i | \(0.977102\pi\) | |||||||
\(158\) | −3.26115 | − | 2.60068i | −0.259443 | − | 0.206899i | ||||
\(159\) | 2.05221 | + | 4.02405i | 0.162751 | + | 0.319128i | ||||
\(160\) | 2.60218 | + | 2.07517i | 0.205720 | + | 0.164056i | ||||
\(161\) | −9.20847 | − | 2.17477i | −0.725729 | − | 0.171396i | ||||
\(162\) | 8.55543 | − | 2.79367i | 0.672178 | − | 0.219491i | ||||
\(163\) | 18.6794 | − | 8.99555i | 1.46309 | − | 0.704586i | 0.478275 | − | 0.878210i | \(-0.341262\pi\) |
0.984812 | + | 0.173624i | \(0.0555479\pi\) | |||||||
\(164\) | −0.947212 | + | 4.15001i | −0.0739648 | + | 0.324061i | ||||
\(165\) | 9.49777 | − | 7.93520i | 0.739401 | − | 0.617755i | ||||
\(166\) | − | 1.05975i | − | 0.0822526i | ||||||
\(167\) | 1.33896 | − | 5.86637i | 0.103612 | − | 0.453953i | −0.896332 | − | 0.443383i | \(-0.853778\pi\) |
0.999944 | − | 0.0105703i | \(-0.00336470\pi\) | |||||||
\(168\) | −3.62605 | − | 2.80210i | −0.279756 | − | 0.216187i | ||||
\(169\) | −2.70899 | − | 11.8689i | −0.208384 | − | 0.912989i | ||||
\(170\) | −8.38818 | + | 1.91455i | −0.643344 | + | 0.146839i | ||||
\(171\) | 2.00103 | + | 3.71203i | 0.153023 | + | 0.283866i | ||||
\(172\) | −5.80070 | − | 7.27384i | −0.442299 | − | 0.554625i | ||||
\(173\) | −1.39979 | − | 6.13288i | −0.106424 | − | 0.466275i | −0.999854 | − | 0.0170724i | \(-0.994565\pi\) |
0.893430 | − | 0.449202i | \(-0.148292\pi\) | |||||||
\(174\) | −2.23606 | + | 2.93899i | −0.169515 | + | 0.222804i | ||||
\(175\) | −3.46009 | − | 15.7032i | −0.261558 | − | 1.18705i | ||||
\(176\) | 2.09306 | + | 0.477728i | 0.157771 | + | 0.0360101i | ||||
\(177\) | 12.9142 | + | 15.4572i | 0.970692 | + | 1.16184i | ||||
\(178\) | − | 6.60354i | − | 0.494956i | ||||||
\(179\) | −5.92396 | − | 1.35211i | −0.442778 | − | 0.101061i | −0.00468118 | − | 0.999989i | \(-0.501490\pi\) |
−0.438097 | + | 0.898928i | \(0.644347\pi\) | |||||||
\(180\) | 2.66339 | + | 9.62315i | 0.198518 | + | 0.717267i | ||||
\(181\) | 1.10146 | − | 0.878387i | 0.0818711 | − | 0.0652900i | −0.581699 | − | 0.813404i | \(-0.697612\pi\) |
0.663570 | + | 0.748114i | \(0.269040\pi\) | |||||||
\(182\) | 0.552657 | − | 2.34007i | 0.0409656 | − | 0.173457i | ||||
\(183\) | 0.472994 | + | 20.7367i | 0.0349647 | + | 1.53290i | ||||
\(184\) | −0.795785 | + | 3.48656i | −0.0586660 | + | 0.257033i | ||||
\(185\) | −2.05059 | + | 2.57136i | −0.150763 | + | 0.189050i | ||||
\(186\) | −16.3327 | − | 7.41146i | −1.19757 | − | 0.543435i | ||||
\(187\) | −4.33905 | + | 3.46028i | −0.317303 | + | 0.253041i | ||||
\(188\) | 11.7042 | + | 5.63645i | 0.853618 | + | 0.411081i | ||||
\(189\) | −3.86916 | − | 13.1920i | −0.281440 | − | 0.959579i | ||||
\(190\) | −4.21520 | + | 2.02993i | −0.305803 | + | 0.147267i | ||||
\(191\) | −5.92000 | + | 12.2930i | −0.428356 | + | 0.889491i | 0.569369 | + | 0.822082i | \(0.307187\pi\) |
−0.997725 | + | 0.0674089i | \(0.978527\pi\) | |||||||
\(192\) | −1.04876 | + | 1.37845i | −0.0756874 | + | 0.0994807i | ||||
\(193\) | 9.50599 | + | 4.57784i | 0.684256 | + | 0.329520i | 0.743512 | − | 0.668722i | \(-0.233159\pi\) |
−0.0592561 | + | 0.998243i | \(0.518873\pi\) | |||||||
\(194\) | −11.8483 | + | 14.8573i | −0.850656 | + | 1.06669i | ||||
\(195\) | −4.02047 | + | 3.35903i | −0.287912 | + | 0.240545i | ||||
\(196\) | −4.44626 | + | 5.40655i | −0.317590 | + | 0.386182i | ||||
\(197\) | − | 0.750328i | − | 0.0534587i | −0.999643 | − | 0.0267293i | \(-0.991491\pi\) | ||
0.999643 | − | 0.0267293i | \(-0.00850922\pi\) | |||||||
\(198\) | 4.24111 | + | 4.84719i | 0.301403 | + | 0.344475i | ||||
\(199\) | −5.54729 | + | 11.5191i | −0.393237 | + | 0.816565i | 0.606532 | + | 0.795059i | \(0.292560\pi\) |
−0.999769 | + | 0.0215054i | \(0.993154\pi\) | |||||||
\(200\) | −5.92525 | + | 1.35240i | −0.418978 | + | 0.0956291i | ||||
\(201\) | −4.59187 | − | 18.1952i | −0.323886 | − | 1.28339i | ||||
\(202\) | −5.81829 | − | 12.0818i | −0.409373 | − | 0.850073i | ||||
\(203\) | 4.38375 | + | 3.55019i | 0.307679 | + | 0.249175i | ||||
\(204\) | −1.09561 | − | 4.34135i | −0.0767083 | − | 0.303955i | ||||
\(205\) | −8.83342 | − | 11.0768i | −0.616953 | − | 0.773635i | ||||
\(206\) | −5.90212 | + | 2.84231i | −0.411220 | + | 0.198033i | ||||
\(207\) | −8.07429 | + | 7.06471i | −0.561202 | + | 0.491032i | ||||
\(208\) | −0.886009 | − | 0.202226i | −0.0614337 | − | 0.0140218i | ||||
\(209\) | −1.88159 | + | 2.35943i | −0.130152 | + | 0.163205i | ||||
\(210\) | 14.8162 | − | 3.62080i | 1.02242 | − | 0.249859i | ||||
\(211\) | 0.931840 | + | 1.16849i | 0.0641505 | + | 0.0804422i | 0.812871 | − | 0.582443i | \(-0.197903\pi\) |
−0.748721 | + | 0.662885i | \(0.769332\pi\) | |||||||
\(212\) | −1.13156 | − | 2.34970i | −0.0777156 | − | 0.161378i | ||||
\(213\) | −12.3996 | − | 24.3136i | −0.849607 | − | 1.66594i | ||||
\(214\) | 1.58282 | 0.108199 | ||||||||
\(215\) | 30.9652 | 2.11181 | ||||||||
\(216\) | −4.97498 | + | 1.49987i | −0.338504 | + | 0.102053i | ||||
\(217\) | −12.0725 | + | 24.5938i | −0.819535 | + | 1.66954i | ||||
\(218\) | 8.13765 | − | 1.85736i | 0.551151 | − | 0.125797i | ||||
\(219\) | 15.4945 | + | 11.7886i | 1.04702 | + | 0.796601i | ||||
\(220\) | −5.58659 | + | 4.45515i | −0.376648 | + | 0.300366i | ||||
\(221\) | 1.83675 | − | 1.46476i | 0.123553 | − | 0.0985305i | ||||
\(222\) | −1.36212 | − | 1.03634i | −0.0914197 | − | 0.0695544i | ||||
\(223\) | 3.88430 | − | 0.886567i | 0.260112 | − | 0.0593689i | −0.0904760 | − | 0.995899i | \(-0.528839\pi\) |
0.350588 | + | 0.936530i | \(0.385982\pi\) | |||||||
\(224\) | 2.05607 | + | 1.66511i | 0.137377 | + | 0.111255i | ||||
\(225\) | −16.7709 | − | 7.15372i | −1.11806 | − | 0.476915i | ||||
\(226\) | −1.79236 | −0.119226 | ||||||||
\(227\) | −13.3977 | −0.889237 | −0.444619 | − | 0.895720i | \(-0.646661\pi\) | ||||
−0.444619 | + | 0.895720i | \(0.646661\pi\) | |||||||
\(228\) | −1.10612 | − | 2.16893i | −0.0732548 | − | 0.143641i | ||||
\(229\) | 11.2782 | + | 23.4194i | 0.745283 | + | 1.54760i | 0.834141 | + | 0.551552i | \(0.185964\pi\) |
−0.0888577 | + | 0.996044i | \(0.528322\pi\) | |||||||
\(230\) | −7.42126 | − | 9.30596i | −0.489343 | − | 0.613617i | ||||
\(231\) | 7.59724 | − | 6.25091i | 0.499862 | − | 0.411280i | ||||
\(232\) | 1.32935 | − | 1.66695i | 0.0872759 | − | 0.109440i | ||||
\(233\) | 21.2530 | + | 4.85086i | 1.39233 | + | 0.317790i | 0.851947 | − | 0.523628i | \(-0.175422\pi\) |
0.540384 | + | 0.841419i | \(0.318279\pi\) | |||||||
\(234\) | −1.79529 | − | 2.05185i | −0.117362 | − | 0.134134i | ||||
\(235\) | −38.9552 | + | 18.7598i | −2.54116 | + | 1.22376i | ||||
\(236\) | −7.25058 | − | 9.09194i | −0.471973 | − | 0.591835i | ||||
\(237\) | 1.76784 | + | 7.00504i | 0.114834 | + | 0.455027i | ||||
\(238\) | −6.67922 | + | 1.47172i | −0.432950 | + | 0.0953975i | ||||
\(239\) | −2.06770 | − | 4.29363i | −0.133749 | − | 0.277732i | 0.823329 | − | 0.567565i | \(-0.192114\pi\) |
−0.957077 | + | 0.289833i | \(0.906400\pi\) | |||||||
\(240\) | −1.41062 | − | 5.58955i | −0.0910549 | − | 0.360804i | ||||
\(241\) | 4.25738 | − | 0.971719i | 0.274242 | − | 0.0625939i | −0.0831881 | − | 0.996534i | \(-0.526510\pi\) |
0.357430 | + | 0.933940i | \(0.383653\pi\) | |||||||
\(242\) | 2.77289 | − | 5.75796i | 0.178248 | − | 0.370136i | ||||
\(243\) | −14.7231 | − | 5.12163i | −0.944486 | − | 0.328553i | ||||
\(244\) | − | 11.9755i | − | 0.766650i | ||||||
\(245\) | −4.84205 | − | 22.7894i | −0.309347 | − | 1.45596i | ||||
\(246\) | 5.65802 | − | 4.72717i | 0.360742 | − | 0.301393i | ||||
\(247\) | 0.796489 | − | 0.998765i | 0.0506794 | − | 0.0635499i | ||||
\(248\) | 9.32966 | + | 4.49293i | 0.592434 | + | 0.285301i | ||||
\(249\) | −1.11142 | + | 1.46081i | −0.0704333 | + | 0.0925750i | ||||
\(250\) | 1.55620 | − | 3.23148i | 0.0984228 | − | 0.204377i | ||||
\(251\) | −12.1551 | + | 5.85357i | −0.767221 | + | 0.369474i | −0.776201 | − | 0.630486i | \(-0.782856\pi\) |
0.00898020 | + | 0.999960i | \(0.497141\pi\) | |||||||
\(252\) | 2.05960 | + | 7.66538i | 0.129742 | + | 0.482874i | ||||
\(253\) | −6.91743 | − | 3.33126i | −0.434895 | − | 0.209434i | ||||
\(254\) | 5.43327 | − | 4.33289i | 0.340914 | − | 0.271870i | ||||
\(255\) | 13.5705 | + | 6.15805i | 0.849820 | + | 0.385632i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | −5.36600 | + | 23.5100i | −0.334722 | + | 1.46651i | 0.475150 | + | 0.879905i | \(0.342394\pi\) |
−0.809872 | + | 0.586607i | \(0.800463\pi\) | |||||||
\(258\) | 0.367464 | + | 16.1101i | 0.0228773 | + | 1.00297i | ||||
\(259\) | −1.64539 | + | 2.03172i | −0.102240 | + | 0.126245i | ||||
\(260\) | 2.36484 | − | 1.88590i | 0.146661 | − | 0.116958i | ||||
\(261\) | 6.16457 | − | 1.70616i | 0.381577 | − | 0.105609i | ||||
\(262\) | 17.2803 | + | 3.94413i | 1.06758 | + | 0.243669i | ||||
\(263\) | 27.0347i | 1.66703i | 0.552496 | + | 0.833515i | \(0.313675\pi\) | ||||
−0.552496 | + | 0.833515i | \(0.686325\pi\) | |||||||
\(264\) | −2.38416 | − | 2.85363i | −0.146735 | − | 0.175629i | ||||
\(265\) | 8.46250 | + | 1.93151i | 0.519847 | + | 0.118652i | ||||
\(266\) | −3.36280 | + | 1.58839i | −0.206187 | + | 0.0973906i | ||||
\(267\) | −6.92549 | + | 9.10262i | −0.423833 | + | 0.557071i | ||||
\(268\) | 2.41088 | + | 10.5627i | 0.147268 | + | 0.645222i | ||||
\(269\) | −0.807485 | − | 1.01255i | −0.0492332 | − | 0.0617365i | 0.756605 | − | 0.653872i | \(-0.226856\pi\) |
−0.805838 | + | 0.592135i | \(0.798285\pi\) | |||||||
\(270\) | 6.42098 | − | 16.0582i | 0.390769 | − | 0.977273i | ||||
\(271\) | 17.6032 | − | 4.01782i | 1.06932 | − | 0.244065i | 0.348585 | − | 0.937277i | \(-0.386662\pi\) |
0.720733 | + | 0.693212i | \(0.243805\pi\) | |||||||
\(272\) | 0.575231 | + | 2.52025i | 0.0348785 | + | 0.152813i | ||||
\(273\) | −3.21597 | + | 2.64606i | −0.194639 | + | 0.160147i | ||||
\(274\) | 0.489010 | − | 2.14249i | 0.0295421 | − | 0.129433i | ||||
\(275\) | − | 13.0480i | − | 0.786824i | ||||||
\(276\) | 4.75349 | − | 3.97145i | 0.286127 | − | 0.239053i | ||||
\(277\) | 1.05676 | − | 4.62998i | 0.0634947 | − | 0.278188i | −0.933207 | − | 0.359339i | \(-0.883002\pi\) |
0.996702 | + | 0.0811505i | \(0.0258594\pi\) | |||||||
\(278\) | 17.9911 | − | 8.66404i | 1.07903 | − | 0.519634i | ||||
\(279\) | 14.7409 | + | 27.3453i | 0.882516 | + | 1.63712i | ||||
\(280\) | −8.59959 | + | 1.89486i | −0.513924 | + | 0.113240i | ||||
\(281\) | −4.45103 | − | 3.54958i | −0.265526 | − | 0.211750i | 0.481672 | − | 0.876352i | \(-0.340030\pi\) |
−0.747198 | + | 0.664602i | \(0.768601\pi\) | |||||||
\(282\) | −10.2224 | − | 20.0444i | −0.608733 | − | 1.19363i | ||||
\(283\) | 2.47722 | + | 1.97552i | 0.147255 | + | 0.117432i | 0.694347 | − | 0.719641i | \(-0.255693\pi\) |
−0.547091 | + | 0.837073i | \(0.684265\pi\) | |||||||
\(284\) | 6.83695 | + | 14.1971i | 0.405698 | + | 0.842441i | ||||
\(285\) | 7.93932 | + | 1.62256i | 0.470285 | + | 0.0961121i | ||||
\(286\) | 0.846543 | − | 1.75787i | 0.0500571 | − | 0.103945i | ||||
\(287\) | −6.95547 | − | 8.85775i | −0.410568 | − | 0.522857i | ||||
\(288\) | 2.89130 | − | 0.800225i | 0.170372 | − | 0.0471537i | ||||
\(289\) | 9.29568 | + | 4.47657i | 0.546805 | + | 0.263327i | ||||
\(290\) | 1.57908 | + | 6.91838i | 0.0927265 | + | 0.406262i | ||||
\(291\) | 31.9138 | − | 8.05399i | 1.87082 | − | 0.472133i | ||||
\(292\) | −8.78824 | − | 7.00839i | −0.514293 | − | 0.410135i | ||||
\(293\) | 11.6416 | 0.680112 | 0.340056 | − | 0.940405i | \(-0.389554\pi\) | ||||
0.340056 | + | 0.940405i | \(0.389554\pi\) | |||||||
\(294\) | 11.7991 | − | 2.78959i | 0.688136 | − | 0.162692i | ||||
\(295\) | 38.7050 | 2.25349 | ||||||||
\(296\) | 0.772574 | + | 0.616107i | 0.0449049 | + | 0.0358105i | ||||
\(297\) | −0.762632 | − | 11.1295i | −0.0442524 | − | 0.645798i | ||||
\(298\) | 0.706177 | + | 3.09396i | 0.0409077 | + | 0.179228i | ||||
\(299\) | 2.92820 | + | 1.41014i | 0.169342 | + | 0.0815508i | ||||
\(300\) | 9.58597 | + | 4.34993i | 0.553446 | + | 0.251143i | ||||
\(301\) | 24.6143 | + | 0.185151i | 1.41874 | + | 0.0106719i | ||||
\(302\) | 7.14521 | − | 14.8372i | 0.411160 | − | 0.853783i | ||||
\(303\) | −4.65066 | + | 22.7561i | −0.267173 | + | 1.30730i | ||||
\(304\) | 0.609899 | + | 1.26647i | 0.0349801 | + | 0.0726370i | ||||
\(305\) | 31.1622 | + | 24.8510i | 1.78434 | + | 1.42297i | ||||
\(306\) | −3.04277 | + | 7.13335i | −0.173944 | + | 0.407786i | ||||
\(307\) | 6.29243 | + | 5.01805i | 0.359128 | + | 0.286395i | 0.786387 | − | 0.617734i | \(-0.211949\pi\) |
−0.427259 | + | 0.904129i | \(0.640521\pi\) | |||||||
\(308\) | −4.46743 | + | 3.50801i | −0.254555 | + | 0.199887i | ||||
\(309\) | 11.1166 | + | 2.27191i | 0.632404 | + | 0.129244i | ||||
\(310\) | −31.0520 | + | 14.9538i | −1.76363 | + | 0.849321i | ||||
\(311\) | 4.60224 | − | 20.1637i | 0.260969 | − | 1.14338i | −0.659233 | − | 0.751938i | \(-0.729119\pi\) |
0.920203 | − | 0.391442i | \(-0.128024\pi\) | |||||||
\(312\) | 1.00923 | + | 1.20796i | 0.0571364 | + | 0.0683875i | ||||
\(313\) | − | 6.39771i | − | 0.361620i | −0.983518 | − | 0.180810i | \(-0.942128\pi\) | ||
0.983518 | − | 0.180810i | \(-0.0578719\pi\) | |||||||
\(314\) | 2.05213 | − | 8.99099i | 0.115809 | − | 0.507391i | ||||
\(315\) | −24.2207 | − | 10.5475i | −1.36468 | − | 0.594284i | ||||
\(316\) | −0.928172 | − | 4.06659i | −0.0522138 | − | 0.228763i | ||||
\(317\) | 22.5375 | − | 5.14403i | 1.26583 | − | 0.288918i | 0.463660 | − | 0.886013i | \(-0.346536\pi\) |
0.802170 | + | 0.597096i | \(0.203679\pi\) | |||||||
\(318\) | −0.904472 | + | 4.42566i | −0.0507203 | + | 0.248179i | ||||
\(319\) | 2.85396 | + | 3.57876i | 0.159791 | + | 0.200372i | ||||
\(320\) | 0.740618 | + | 3.24486i | 0.0414018 | + | 0.181393i | ||||
\(321\) | −2.18183 | − | 1.65999i | −0.121778 | − | 0.0926514i | ||||
\(322\) | −5.84352 | − | 7.44170i | −0.325647 | − | 0.414710i | ||||
\(323\) | −3.54266 | − | 0.808588i | −0.197119 | − | 0.0449910i | ||||
\(324\) | 8.43073 | + | 3.15005i | 0.468374 | + | 0.175003i | ||||
\(325\) | 5.52331i | 0.306378i | ||||||||
\(326\) | 20.2128 | + | 4.61344i | 1.11948 | + | 0.255515i | ||||
\(327\) | −13.1652 | − | 5.97412i | −0.728039 | − | 0.330370i | ||||
\(328\) | −3.32805 | + | 2.65403i | −0.183761 | + | 0.146544i | ||||
\(329\) | −31.0777 | + | 14.6793i | −1.71337 | + | 0.809296i | ||||
\(330\) | 12.3732 | − | 0.282226i | 0.681121 | − | 0.0155360i | ||||
\(331\) | −4.67614 | + | 20.4875i | −0.257024 | + | 1.12610i | 0.667391 | + | 0.744708i | \(0.267411\pi\) |
−0.924415 | + | 0.381388i | \(0.875446\pi\) | |||||||
\(332\) | 0.660744 | − | 0.828546i | 0.0362630 | − | 0.0454724i | ||||
\(333\) | 0.790749 | + | 2.85707i | 0.0433328 | + | 0.156566i | ||||
\(334\) | 4.70446 | − | 3.75168i | 0.257417 | − | 0.205283i | ||||
\(335\) | −32.4891 | − | 15.6459i | −1.77507 | − | 0.854827i | ||||
\(336\) | −1.08788 | − | 4.45157i | −0.0593487 | − | 0.242853i | ||||
\(337\) | 17.3883 | − | 8.37376i | 0.947201 | − | 0.456148i | 0.104497 | − | 0.994525i | \(-0.466677\pi\) |
0.842704 | + | 0.538377i | \(0.180962\pi\) | |||||||
\(338\) | 5.28214 | − | 10.9685i | 0.287311 | − | 0.596607i | ||||
\(339\) | 2.47068 | + | 1.87975i | 0.134189 | + | 0.102094i | ||||
\(340\) | −7.75184 | − | 3.73309i | −0.420403 | − | 0.202455i | ||||
\(341\) | −13.8610 | + | 17.3812i | −0.750617 | + | 0.941244i | ||||
\(342\) | −0.749944 | + | 4.14980i | −0.0405523 | + | 0.224396i | ||||
\(343\) | −3.71268 | − | 18.1443i | −0.200466 | − | 0.979701i | ||||
\(344\) | − | 9.30359i | − | 0.501616i | ||||||
\(345\) | 0.470123 | + | 20.6108i | 0.0253106 | + | 1.10965i | ||||
\(346\) | 2.72939 | − | 5.66764i | 0.146733 | − | 0.304694i | ||||
\(347\) | −25.6529 | + | 5.85511i | −1.37712 | + | 0.314319i | −0.846093 | − | 0.533035i | \(-0.821051\pi\) |
−0.531028 | + | 0.847354i | \(0.678194\pi\) | |||||||
\(348\) | −3.58065 | + | 0.903638i | −0.191943 | + | 0.0484401i | ||||
\(349\) | 3.95094 | + | 8.20422i | 0.211489 | + | 0.439162i | 0.979546 | − | 0.201220i | \(-0.0644906\pi\) |
−0.768057 | + | 0.640381i | \(0.778776\pi\) | |||||||
\(350\) | 7.08558 | − | 14.4346i | 0.378740 | − | 0.771561i | ||||
\(351\) | 0.322828 | + | 4.71119i | 0.0172313 | + | 0.251465i | ||||
\(352\) | 1.33856 | + | 1.67851i | 0.0713457 | + | 0.0894647i | ||||
\(353\) | −13.7970 | + | 6.64430i | −0.734342 | + | 0.353641i | −0.763390 | − | 0.645937i | \(-0.776467\pi\) |
0.0290480 | + | 0.999578i | \(0.490752\pi\) | |||||||
\(354\) | 0.459311 | + | 20.1368i | 0.0244121 | + | 1.07026i | ||||
\(355\) | −51.1310 | − | 11.6703i | −2.71375 | − | 0.619397i | ||||
\(356\) | 4.11724 | − | 5.16285i | 0.218213 | − | 0.273631i | ||||
\(357\) | 10.7504 | + | 4.97618i | 0.568973 | + | 0.263368i | ||||
\(358\) | −3.78852 | − | 4.75065i | −0.200229 | − | 0.251080i | ||||
\(359\) | −10.4479 | − | 21.6954i | −0.551422 | − | 1.14504i | −0.971388 | − | 0.237499i | \(-0.923672\pi\) |
0.419966 | − | 0.907540i | \(-0.362042\pi\) | |||||||
\(360\) | −3.91761 | + | 9.18428i | −0.206476 | + | 0.484054i | ||||
\(361\) | 17.0241 | 0.896004 | ||||||||
\(362\) | 1.40882 | 0.0740461 | ||||||||
\(363\) | −9.86097 | + | 5.02896i | −0.517567 | + | 0.263952i | ||||
\(364\) | 1.89109 | − | 1.48496i | 0.0991202 | − | 0.0778333i | ||||
\(365\) | 36.4741 | − | 8.32498i | 1.90914 | − | 0.435749i | ||||
\(366\) | −12.5593 | + | 16.5075i | −0.656486 | + | 0.862862i | ||||
\(367\) | −2.74971 | + | 2.19282i | −0.143534 | + | 0.114464i | −0.692624 | − | 0.721298i | \(-0.743546\pi\) |
0.549091 | + | 0.835763i | \(0.314974\pi\) | |||||||
\(368\) | −2.79600 | + | 2.22974i | −0.145752 | + | 0.116233i | ||||
\(369\) | −12.7569 | + | 0.582261i | −0.664098 | + | 0.0303113i | ||||
\(370\) | −3.20644 | + | 0.731848i | −0.166695 | + | 0.0380470i | ||||
\(371\) | 6.71531 | + | 1.58596i | 0.348641 | + | 0.0823390i | ||||
\(372\) | −8.14845 | − | 15.9778i | −0.422477 | − | 0.828410i | ||||
\(373\) | −26.6702 | −1.38093 | −0.690467 | − | 0.723364i | \(-0.742595\pi\) | ||||
−0.690467 | + | 0.723364i | \(0.742595\pi\) | |||||||
\(374\) | −5.54986 | −0.286976 | ||||||||
\(375\) | −5.53417 | + | 2.82235i | −0.285783 | + | 0.145746i | ||||
\(376\) | 5.63645 | + | 11.7042i | 0.290678 | + | 0.603599i | ||||
\(377\) | −1.20810 | − | 1.51491i | −0.0622205 | − | 0.0780220i | ||||
\(378\) | 5.20007 | − | 12.7263i | 0.267463 | − | 0.654571i | ||||
\(379\) | 5.62600 | − | 7.05478i | 0.288988 | − | 0.362380i | −0.616052 | − | 0.787705i | \(-0.711269\pi\) |
0.905040 | + | 0.425325i | \(0.139840\pi\) | |||||||
\(380\) | −4.56122 | − | 1.04107i | −0.233985 | − | 0.0534056i | ||||
\(381\) | −12.0336 | + | 0.274481i | −0.616500 | + | 0.0140621i | ||||
\(382\) | −12.2930 | + | 5.92000i | −0.628965 | + | 0.302894i | ||||
\(383\) | −6.89488 | − | 8.64591i | −0.352312 | − | 0.441785i | 0.573822 | − | 0.818980i | \(-0.305460\pi\) |
−0.926134 | + | 0.377195i | \(0.876889\pi\) | |||||||
\(384\) | −1.67940 | + | 0.423824i | −0.0857014 | + | 0.0216282i | ||||
\(385\) | 0.142203 | − | 18.9047i | 0.00724733 | − | 0.963474i | ||||
\(386\) | 4.57784 | + | 9.50599i | 0.233006 | + | 0.483842i | ||||
\(387\) | 16.3890 | − | 22.5923i | 0.833101 | − | 1.14843i | ||||
\(388\) | −18.5267 | + | 4.22860i | −0.940551 | + | 0.214675i | ||||
\(389\) | −8.10779 | + | 16.8360i | −0.411081 | + | 0.853619i | 0.587919 | + | 0.808919i | \(0.299947\pi\) |
−0.999000 | + | 0.0446991i | \(0.985767\pi\) | |||||||
\(390\) | −5.23765 | + | 0.119468i | −0.265219 | + | 0.00604951i | ||||
\(391\) | − | 9.24478i | − | 0.467528i | ||||||
\(392\) | −6.84716 | + | 1.45481i | −0.345834 | + | 0.0734789i | ||||
\(393\) | −19.6836 | − | 23.5596i | −0.992906 | − | 1.18843i | ||||
\(394\) | 0.467822 | − | 0.586630i | 0.0235685 | − | 0.0295540i | ||||
\(395\) | 12.5081 | + | 6.02358i | 0.629350 | + | 0.303079i | ||||
\(396\) | 0.293665 | + | 6.43398i | 0.0147572 | + | 0.323319i | ||||
\(397\) | 1.55775 | − | 3.23469i | 0.0781810 | − | 0.162345i | −0.858214 | − | 0.513291i | \(-0.828426\pi\) |
0.936395 | + | 0.350947i | \(0.114140\pi\) | |||||||
\(398\) | −11.5191 | + | 5.54729i | −0.577398 | + | 0.278060i | ||||
\(399\) | 6.30128 | + | 1.33725i | 0.315458 | + | 0.0669461i | ||||
\(400\) | −5.47575 | − | 2.63698i | −0.273788 | − | 0.131849i | ||||
\(401\) | −7.94093 | + | 6.33268i | −0.396551 | + | 0.316239i | −0.801382 | − | 0.598153i | \(-0.795902\pi\) |
0.404831 | + | 0.914391i | \(0.367330\pi\) | |||||||
\(402\) | 7.75446 | − | 17.0886i | 0.386758 | − | 0.852301i | ||||
\(403\) | 5.86747 | − | 7.35758i | 0.292280 | − | 0.366507i | ||||
\(404\) | 2.98396 | − | 13.0736i | 0.148458 | − | 0.650435i | ||||
\(405\) | −25.6921 | + | 15.4014i | −1.27665 | + | 0.765300i | ||||
\(406\) | 1.21384 | + | 5.50888i | 0.0602420 | + | 0.273401i | ||||
\(407\) | −1.65863 | + | 1.32271i | −0.0822153 | + | 0.0655645i | ||||
\(408\) | 1.85020 | − | 4.07731i | 0.0915987 | − | 0.201857i | ||||
\(409\) | 20.7668 | + | 4.73988i | 1.02685 | + | 0.234372i | 0.702589 | − | 0.711595i | \(-0.252027\pi\) |
0.324262 | + | 0.945967i | \(0.394884\pi\) | |||||||
\(410\) | − | 14.1677i | − | 0.699693i | ||||||
\(411\) | −2.92102 | + | 2.44046i | −0.144083 | + | 0.120379i | ||||
\(412\) | −6.38662 | − | 1.45770i | −0.314646 | − | 0.0718159i | ||||
\(413\) | 30.7666 | + | 0.231429i | 1.51393 | + | 0.0113879i | ||||
\(414\) | −10.7175 | + | 0.489177i | −0.526737 | + | 0.0240417i | ||||
\(415\) | 0.784870 | + | 3.43874i | 0.0385278 | + | 0.168801i | ||||
\(416\) | −0.566624 | − | 0.710524i | −0.0277810 | − | 0.0348363i | ||||
\(417\) | −33.8861 | − | 6.92531i | −1.65941 | − | 0.339134i | ||||
\(418\) | −2.94217 | + | 0.671530i | −0.143906 | + | 0.0328456i | ||||
\(419\) | −4.99870 | − | 21.9007i | −0.244202 | − | 1.06992i | −0.937148 | − | 0.348931i | \(-0.886545\pi\) |
0.692946 | − | 0.720990i | \(-0.256312\pi\) | |||||||
\(420\) | 13.8413 | + | 6.40690i | 0.675387 | + | 0.312625i | ||||
\(421\) | 3.93329 | − | 17.2329i | 0.191697 | − | 0.839878i | −0.784002 | − | 0.620759i | \(-0.786825\pi\) |
0.975698 | − | 0.219119i | \(-0.0703183\pi\) | |||||||
\(422\) | 1.49456i | 0.0727538i | ||||||||
\(423\) | −6.93069 | + | 38.3509i | −0.336982 | + | 1.86468i | ||||
\(424\) | 0.580328 | − | 2.54258i | 0.0281832 | − | 0.123479i | ||||
\(425\) | 14.1552 | − | 6.81678i | 0.686627 | − | 0.330662i | ||||
\(426\) | 5.46489 | − | 26.7402i | 0.264775 | − | 1.29557i | ||||
\(427\) | 24.6223 | + | 19.9405i | 1.19156 | + | 0.964987i | ||||
\(428\) | 1.23750 | + | 0.986869i | 0.0598166 | + | 0.0477021i | ||||
\(429\) | −3.01048 | + | 1.53530i | −0.145348 | + | 0.0741252i | ||||
\(430\) | 24.2096 | + | 19.3065i | 1.16749 | + | 0.931042i | ||||
\(431\) | −6.89063 | − | 14.3085i | −0.331910 | − | 0.689218i | 0.666505 | − | 0.745500i | \(-0.267789\pi\) |
−0.998415 | + | 0.0562827i | \(0.982075\pi\) | |||||||
\(432\) | −4.82475 | − | 1.92920i | −0.232131 | − | 0.0928189i | ||||
\(433\) | −0.556227 | + | 1.15502i | −0.0267306 | + | 0.0555066i | −0.913907 | − | 0.405925i | \(-0.866950\pi\) |
0.887176 | + | 0.461431i | \(0.152664\pi\) | |||||||
\(434\) | −24.7727 | + | 11.7012i | −1.18913 | + | 0.561674i | ||||
\(435\) | 5.07902 | − | 11.1927i | 0.243520 | − | 0.536648i | ||||
\(436\) | 7.52032 | + | 3.62159i | 0.360158 | + | 0.173443i | ||||
\(437\) | −1.11861 | − | 4.90097i | −0.0535106 | − | 0.234445i | ||||
\(438\) | 4.76403 | + | 18.8774i | 0.227634 | + | 0.901997i | ||||
\(439\) | −19.8904 | − | 15.8621i | −0.949318 | − | 0.757056i | 0.0207760 | − | 0.999784i | \(-0.493386\pi\) |
−0.970094 | + | 0.242728i | \(0.921958\pi\) | |||||||
\(440\) | −7.14551 | −0.340649 | ||||||||
\(441\) | −19.1900 | − | 8.52905i | −0.913809 | − | 0.406145i | ||||
\(442\) | 2.34929 | 0.111745 | ||||||||
\(443\) | 10.0434 | + | 8.00933i | 0.477176 | + | 0.380535i | 0.832337 | − | 0.554270i | \(-0.187003\pi\) |
−0.355161 | + | 0.934805i | \(0.615574\pi\) | |||||||
\(444\) | −0.418805 | − | 1.65951i | −0.0198756 | − | 0.0787569i | ||||
\(445\) | 4.89070 | + | 21.4275i | 0.231841 | + | 1.01576i | ||||
\(446\) | 3.58964 | + | 1.72868i | 0.169974 | + | 0.0818552i | ||||
\(447\) | 2.27138 | − | 5.00546i | 0.107433 | − | 0.236750i | ||||
\(448\) | 0.569316 | + | 2.58377i | 0.0268977 | + | 0.122072i | ||||
\(449\) | −4.19412 | + | 8.70919i | −0.197933 | + | 0.411012i | −0.976185 | − | 0.216940i | \(-0.930392\pi\) |
0.778252 | + | 0.627952i | \(0.216107\pi\) | |||||||
\(450\) | −8.65173 | − | 16.0495i | −0.407846 | − | 0.756579i | ||||
\(451\) | −3.96515 | − | 8.23372i | −0.186712 | − | 0.387711i | ||||
\(452\) | −1.40133 | − | 1.11752i | −0.0659128 | − | 0.0525637i | ||||
\(453\) | −25.4098 | + | 12.9587i | −1.19386 | + | 0.608851i | ||||
\(454\) | −10.4748 | − | 8.35334i | −0.491604 | − | 0.392041i | ||||
\(455\) | −0.0601955 | + | 8.00250i | −0.00282201 | + | 0.375163i | ||||
\(456\) | 0.487503 | − | 2.38539i | 0.0228294 | − | 0.111706i | ||||
\(457\) | 29.4897 | − | 14.2015i | 1.37947 | − | 0.664317i | 0.410582 | − | 0.911824i | \(-0.365325\pi\) |
0.968886 | + | 0.247507i | \(0.0796112\pi\) | |||||||
\(458\) | −5.78411 | + | 25.3418i | −0.270274 | + | 1.18415i | ||||
\(459\) | 11.6754 | − | 6.64181i | 0.544963 | − | 0.310013i | ||||
\(460\) | − | 11.9028i | − | 0.554970i | ||||||
\(461\) | 1.39141 | − | 6.09617i | 0.0648044 | − | 0.283927i | −0.932134 | − | 0.362113i | \(-0.882056\pi\) |
0.996939 | + | 0.0781858i | \(0.0249127\pi\) | |||||||
\(462\) | 9.83714 | − | 0.150359i | 0.457665 | − | 0.00699533i | ||||
\(463\) | 6.41734 | + | 28.1162i | 0.298239 | + | 1.30667i | 0.872748 | + | 0.488172i | \(0.162336\pi\) |
−0.574509 | + | 0.818498i | \(0.694807\pi\) | |||||||
\(464\) | 2.07865 | − | 0.474438i | 0.0964989 | − | 0.0220252i | ||||
\(465\) | 58.4864 | + | 11.9529i | 2.71224 | + | 0.554301i | ||||
\(466\) | 13.5918 | + | 17.0436i | 0.629628 | + | 0.789529i | ||||
\(467\) | 3.27555 | + | 14.3511i | 0.151574 | + | 0.664091i | 0.992428 | + | 0.122828i | \(0.0391964\pi\) |
−0.840854 | + | 0.541263i | \(0.817946\pi\) | |||||||
\(468\) | −0.124310 | − | 2.72355i | −0.00574625 | − | 0.125896i | ||||
\(469\) | −25.7321 | − | 12.6312i | −1.18820 | − | 0.583255i | ||||
\(470\) | −42.1530 | − | 9.62114i | −1.94437 | − | 0.443790i | ||||
\(471\) | −12.2581 | + | 10.2414i | −0.564824 | + | 0.471899i | ||||
\(472\) | − | 11.6290i | − | 0.535269i | ||||||
\(473\) | 19.4730 | + | 4.44459i | 0.895370 | + | 0.204362i | ||||
\(474\) | −2.98542 | + | 6.57900i | −0.137125 | + | 0.302183i | ||||
\(475\) | 6.67932 | − | 5.32658i | 0.306468 | − | 0.244400i | ||||
\(476\) | −6.13963 | − | 3.01379i | −0.281409 | − | 0.138137i | ||||
\(477\) | 5.88820 | − | 5.15196i | 0.269602 | − | 0.235892i | ||||
\(478\) | 1.06044 | − | 4.64609i | 0.0485034 | − | 0.212507i | ||||
\(479\) | 18.5880 | − | 23.3086i | 0.849306 | − | 1.06500i | −0.147804 | − | 0.989017i | \(-0.547220\pi\) |
0.997109 | − | 0.0759790i | \(-0.0242082\pi\) | |||||||
\(480\) | 2.38216 | − | 5.24959i | 0.108730 | − | 0.239610i | ||||
\(481\) | 0.702111 | − | 0.559915i | 0.0320135 | − | 0.0255299i | ||||
\(482\) | 3.93441 | + | 1.89471i | 0.179207 | + | 0.0863017i | ||||
\(483\) | 0.250463 | + | 16.3864i | 0.0113965 | + | 0.745607i | ||||
\(484\) | 5.75796 | − | 2.77289i | 0.261726 | − | 0.126040i | ||||
\(485\) | 27.4424 | − | 56.9848i | 1.24610 | − | 2.58754i | ||||
\(486\) | −8.31767 | − | 13.1839i | −0.377297 | − | 0.598036i | ||||
\(487\) | −34.8914 | − | 16.8028i | −1.58108 | − | 0.761407i | −0.582405 | − | 0.812899i | \(-0.697888\pi\) |
−0.998673 | + | 0.0514919i | \(0.983602\pi\) | |||||||
\(488\) | 7.46657 | − | 9.36279i | 0.337996 | − | 0.423833i | ||||
\(489\) | −23.0239 | − | 27.5577i | −1.04118 | − | 1.24620i | ||||
\(490\) | 10.4233 | − | 20.8365i | 0.470877 | − | 0.941295i | ||||
\(491\) | − | 27.5851i | − | 1.24490i | −0.782661 | − | 0.622449i | \(-0.786138\pi\) | ||
0.782661 | − | 0.622449i | \(-0.213862\pi\) | |||||||
\(492\) | 7.37096 | − | 0.168128i | 0.332308 | − | 0.00757980i | ||||
\(493\) | −2.39141 | + | 4.96581i | −0.107704 | + | 0.223649i | ||||
\(494\) | 1.24544 | − | 0.284264i | 0.0560350 | − | 0.0127896i | ||||
\(495\) | −17.3517 | − | 12.5874i | −0.779902 | − | 0.565761i | ||||
\(496\) | 4.49293 | + | 9.32966i | 0.201738 | + | 0.418914i | ||||
\(497\) | −40.5744 | − | 9.58249i | −1.82001 | − | 0.429833i | ||||
\(498\) | −1.77974 | + | 0.449148i | −0.0797521 | + | 0.0201268i | ||||
\(499\) | −2.51672 | − | 3.15586i | −0.112664 | − | 0.141276i | 0.722302 | − | 0.691578i | \(-0.243084\pi\) |
−0.834966 | + | 0.550302i | \(0.814513\pi\) | |||||||
\(500\) | 3.23148 | − | 1.55620i | 0.144516 | − | 0.0695954i | ||||
\(501\) | −10.4194 | + | 0.237663i | −0.465507 | + | 0.0106180i | ||||
\(502\) | −13.1529 | − | 3.00205i | −0.587040 | − | 0.133988i | ||||
\(503\) | 7.65965 | − | 9.60490i | 0.341527 | − | 0.428261i | −0.581173 | − | 0.813780i | \(-0.697406\pi\) |
0.922700 | + | 0.385519i | \(0.125977\pi\) | |||||||
\(504\) | −3.16903 | + | 7.27717i | −0.141160 | + | 0.324151i | ||||
\(505\) | 27.8275 | + | 34.8946i | 1.23831 | + | 1.55279i | ||||
\(506\) | −3.33126 | − | 6.91743i | −0.148092 | − | 0.307517i | ||||
\(507\) | −18.7844 | + | 9.57978i | −0.834244 | + | 0.425453i | ||||
\(508\) | 6.94941 | 0.308330 | ||||||||
\(509\) | −13.4674 | −0.596932 | −0.298466 | − | 0.954420i | \(-0.596475\pi\) | ||||
−0.298466 | + | 0.954420i | \(0.596475\pi\) | |||||||
\(510\) | 6.77039 | + | 13.2756i | 0.299798 | + | 0.587855i | ||||
\(511\) | 29.0431 | − | 6.39945i | 1.28479 | − | 0.283095i | ||||
\(512\) | 0.974928 | − | 0.222521i | 0.0430861 | − | 0.00983413i | ||||
\(513\) | 5.38588 | − | 4.93377i | 0.237793 | − | 0.217831i | ||||
\(514\) | −18.8535 | + | 15.0352i | −0.831594 | + | 0.663174i | ||||
\(515\) | 17.0465 | − | 13.5941i | 0.751158 | − | 0.599029i | ||||
\(516\) | −9.75719 | + | 12.8245i | −0.429536 | + | 0.564567i | ||||
\(517\) | −27.1904 | + | 6.20602i | −1.19583 | + | 0.272941i | ||||
\(518\) | −2.55318 | + | 0.562575i | −0.112180 | + | 0.0247181i | ||||
\(519\) | −9.70628 | + | 4.95007i | −0.426058 | + | 0.217284i | ||||
\(520\) | 3.02475 | 0.132644 | ||||||||
\(521\) | 22.9088 | 1.00365 | 0.501826 | − | 0.864969i | \(-0.332662\pi\) | ||||
0.501826 | + | 0.864969i | \(0.332662\pi\) | |||||||
\(522\) | 5.88343 | + | 2.50961i | 0.257511 | + | 0.109843i | ||||
\(523\) | 3.87409 | + | 8.04463i | 0.169402 | + | 0.351767i | 0.968336 | − | 0.249652i | \(-0.0803163\pi\) |
−0.798933 | + | 0.601420i | \(0.794602\pi\) | |||||||
\(524\) | 11.0512 | + | 13.8578i | 0.482774 | + | 0.605379i | ||||
\(525\) | −24.9054 | + | 12.4663i | −1.08696 | + | 0.544072i | ||||
\(526\) | −16.8559 | + | 21.1366i | −0.734950 | + | 0.921598i | ||||
\(527\) | −26.0976 | − | 5.95660i | −1.13683 | − | 0.259474i | ||||
\(528\) | −0.0847957 | − | 3.71756i | −0.00369026 | − | 0.161786i | ||||
\(529\) | −9.19946 | + | 4.43022i | −0.399976 | + | 0.192618i | ||||
\(530\) | 5.41197 | + | 6.78640i | 0.235081 | + | 0.294782i | ||||
\(531\) | 20.4855 | − | 28.2392i | 0.888994 | − | 1.22548i | ||||
\(532\) | −3.61949 | − | 0.854819i | −0.156925 | − | 0.0370611i | ||||
\(533\) | 1.67848 | + | 3.48539i | 0.0727029 | + | 0.150969i | ||||
\(534\) | −11.0900 | + | 2.79874i | −0.479909 | + | 0.121113i | ||||
\(535\) | −5.13601 | + | 1.17226i | −0.222049 | + | 0.0506813i | ||||
\(536\) | −4.70086 | + | 9.76144i | −0.203046 | + | 0.421630i | ||||
\(537\) | 0.239996 | + | 10.5217i | 0.0103566 | + | 0.454047i | ||||
\(538\) | − | 1.29511i | − | 0.0558359i | ||||||
\(539\) | 0.226075 | − | 15.0265i | 0.00973772 | − | 0.647239i | ||||
\(540\) | 15.0323 | − | 8.55142i | 0.646886 | − | 0.367994i | ||||
\(541\) | 12.6874 | − | 15.9094i | 0.545472 | − | 0.684001i | −0.430326 | − | 0.902674i | \(-0.641601\pi\) |
0.975798 | + | 0.218673i | \(0.0701728\pi\) | |||||||
\(542\) | 16.2678 | + | 7.83416i | 0.698762 | + | 0.336506i | ||||
\(543\) | −1.94199 | − | 1.47751i | −0.0833386 | − | 0.0634061i | ||||
\(544\) | −1.12162 | + | 2.32906i | −0.0480890 | + | 0.0998578i | ||||
\(545\) | −25.0299 | + | 12.0538i | −1.07216 | + | 0.516327i | ||||
\(546\) | −4.16413 | + | 0.0636480i | −0.178208 | + | 0.00272388i | ||||
\(547\) | −34.2100 | − | 16.4747i | −1.46271 | − | 0.704406i | −0.477963 | − | 0.878380i | \(-0.658625\pi\) |
−0.984750 | + | 0.173974i | \(0.944339\pi\) | |||||||
\(548\) | 1.71814 | − | 1.37017i | 0.0733955 | − | 0.0585309i | ||||
\(549\) | 34.6247 | − | 9.58306i | 1.47775 | − | 0.408995i | ||||
\(550\) | 8.13530 | − | 10.2013i | 0.346890 | − | 0.434987i | ||||
\(551\) | −0.666906 | + | 2.92190i | −0.0284111 | + | 0.124477i | ||||
\(552\) | 6.19259 | − | 0.141250i | 0.263574 | − | 0.00601200i | ||||
\(553\) | 9.90668 | + | 4.86294i | 0.421275 | + | 0.206793i | ||||
\(554\) | 3.71295 | − | 2.96098i | 0.157748 | − | 0.125800i | ||||
\(555\) | 5.18743 | + | 2.35395i | 0.220194 | + | 0.0999198i | ||||
\(556\) | 19.4679 | + | 4.44342i | 0.825623 | + | 0.188443i | ||||
\(557\) | 24.0853i | 1.02053i | 0.860018 | + | 0.510263i | \(0.170452\pi\) | ||||
−0.860018 | + | 0.510263i | \(0.829548\pi\) | |||||||
\(558\) | −5.52459 | + | 30.5702i | −0.233875 | + | 1.29414i | ||||
\(559\) | −8.24307 | − | 1.88143i | −0.348645 | − | 0.0795759i | ||||
\(560\) | −7.90485 | − | 3.88029i | −0.334041 | − | 0.163972i | ||||
\(561\) | 7.65018 | + | 5.82044i | 0.322991 | + | 0.245739i | ||||
\(562\) | −1.26683 | − | 5.55034i | −0.0534380 | − | 0.234127i | ||||
\(563\) | −5.00702 | − | 6.27860i | −0.211021 | − | 0.264611i | 0.665045 | − | 0.746803i | \(-0.268412\pi\) |
−0.876066 | + | 0.482192i | \(0.839841\pi\) | |||||||
\(564\) | 4.50531 | − | 22.0449i | 0.189708 | − | 0.928257i | ||||
\(565\) | 5.81597 | − | 1.32746i | 0.244680 | − | 0.0558465i | ||||
\(566\) | 0.705054 | + | 3.08904i | 0.0296356 | + | 0.129842i | ||||
\(567\) | −20.5148 | + | 12.0889i | −0.861541 | + | 0.507688i | ||||
\(568\) | −3.50639 | + | 15.3625i | −0.147125 | + | 0.644595i | ||||
\(569\) | 0.285344i | 0.0119622i | 0.999982 | + | 0.00598111i | \(0.00190386\pi\) | ||||
−0.999982 | + | 0.00598111i | \(0.998096\pi\) | |||||||
\(570\) | 5.19556 | + | 6.21865i | 0.217618 | + | 0.260471i | ||||
\(571\) | −4.05854 | + | 17.7816i | −0.169845 | + | 0.744137i | 0.816216 | + | 0.577748i | \(0.196068\pi\) |
−0.986060 | + | 0.166390i | \(0.946789\pi\) | |||||||
\(572\) | 1.75787 | − | 0.846543i | 0.0735000 | − | 0.0353957i | ||||
\(573\) | 23.1539 | + | 4.73196i | 0.967267 | + | 0.197680i | ||||
\(574\) | 0.0847132 | − | 11.2619i | 0.00353586 | − | 0.470064i | ||||
\(575\) | 16.9931 | + | 13.5515i | 0.708660 | + | 0.565138i | ||||
\(576\) | 2.75944 | + | 1.17706i | 0.114977 | + | 0.0490441i | ||||
\(577\) | −21.1737 | − | 16.8854i | −0.881471 | − | 0.702950i | 0.0742450 | − | 0.997240i | \(-0.476345\pi\) |
−0.955716 | + | 0.294290i | \(0.904917\pi\) | |||||||
\(578\) | 4.47657 | + | 9.29568i | 0.186201 | + | 0.386650i | ||||
\(579\) | 3.65915 | − | 17.9045i | 0.152069 | − | 0.744087i | ||||
\(580\) | −3.07897 | + | 6.39355i | −0.127847 | + | 0.265478i | ||||
\(581\) | 0.603333 | + | 2.73815i | 0.0250305 | + | 0.113598i | ||||
\(582\) | 29.9728 | + | 13.6011i | 1.24241 | + | 0.563783i | ||||
\(583\) | 5.04455 | + | 2.42933i | 0.208924 | + | 0.100613i | ||||
\(584\) | −2.50126 | − | 10.9588i | −0.103503 | − | 0.453477i | ||||
\(585\) | 7.34511 | + | 5.32834i | 0.303683 | + | 0.220300i | ||||
\(586\) | 9.10181 | + | 7.25845i | 0.375992 | + | 0.299844i | ||||
\(587\) | 36.5623 | 1.50909 | 0.754544 | − | 0.656250i | \(-0.227858\pi\) | ||||
0.754544 | + | 0.656250i | \(0.227858\pi\) | |||||||
\(588\) | 10.9642 | + | 5.17562i | 0.452155 | + | 0.213439i | ||||
\(589\) | −14.5560 | −0.599768 | ||||||||
\(590\) | 30.2608 | + | 24.1322i | 1.24582 | + | 0.993505i | ||||
\(591\) | −1.26010 | + | 0.318007i | −0.0518335 | + | 0.0130811i | ||||
\(592\) | 0.219886 | + | 0.963384i | 0.00903726 | + | 0.0395948i | ||||
\(593\) | 10.9940 | + | 5.29441i | 0.451468 | + | 0.217415i | 0.645779 | − | 0.763525i | \(-0.276533\pi\) |
−0.194311 | + | 0.980940i | \(0.562247\pi\) | |||||||
\(594\) | 6.34286 | − | 9.17687i | 0.260251 | − | 0.376531i | ||||
\(595\) | 20.5832 | − | 9.72228i | 0.843827 | − | 0.398575i | ||||
\(596\) | −1.37694 | + | 2.85925i | −0.0564018 | + | 0.117119i | ||||
\(597\) | 21.6961 | + | 4.43404i | 0.887964 | + | 0.181473i | ||||
\(598\) | 1.41014 | + | 2.92820i | 0.0576651 | + | 0.119743i | ||||
\(599\) | −3.30701 | − | 2.63726i | −0.135121 | − | 0.107755i | 0.553597 | − | 0.832785i | \(-0.313255\pi\) |
−0.688718 | + | 0.725029i | \(0.741826\pi\) | |||||||
\(600\) | 4.78248 | + | 9.37766i | 0.195244 | + | 0.382842i | ||||
\(601\) | −18.1349 | − | 14.4621i | −0.739737 | − | 0.589921i | 0.179438 | − | 0.983769i | \(-0.442572\pi\) |
−0.919175 | + | 0.393849i | \(0.871143\pi\) | |||||||
\(602\) | 19.1288 | + | 15.4915i | 0.779631 | + | 0.631387i | ||||
\(603\) | −28.6108 | + | 15.4231i | −1.16512 | + | 0.628079i | ||||
\(604\) | 14.8372 | − | 7.14521i | 0.603716 | − | 0.290734i | ||||
\(605\) | −4.73318 | + | 20.7374i | −0.192431 | + | 0.843097i | ||||
\(606\) | −17.8242 | + | 14.8918i | −0.724059 | + | 0.604937i | ||||
\(607\) | 26.5340i | 1.07698i | 0.842632 | + | 0.538490i | \(0.181005\pi\) | ||||
−0.842632 | + | 0.538490i | \(0.818995\pi\) | |||||||
\(608\) | −0.312792 | + | 1.37043i | −0.0126854 | + | 0.0555783i | ||||
\(609\) | 4.10425 | − | 8.86671i | 0.166312 | − | 0.359297i | ||||
\(610\) | 8.86924 | + | 38.8587i | 0.359105 | + | 1.57334i | ||||
\(611\) | 11.5099 | − | 2.62705i | 0.465640 | − | 0.106279i | ||||
\(612\) | −6.82650 | + | 3.67994i | −0.275945 | + | 0.148753i | ||||
\(613\) | 5.38174 | + | 6.74849i | 0.217367 | + | 0.272569i | 0.878545 | − | 0.477660i | \(-0.158515\pi\) |
−0.661178 | + | 0.750229i | \(0.729943\pi\) | |||||||
\(614\) | 1.79092 | + | 7.84653i | 0.0722756 | + | 0.316660i | ||||
\(615\) | −14.8585 | + | 19.5294i | −0.599151 | + | 0.787502i | ||||
\(616\) | −5.67998 | − | 0.0427253i | −0.228853 | − | 0.00172145i | ||||
\(617\) | −18.8483 | − | 4.30201i | −0.758805 | − | 0.173192i | −0.174423 | − | 0.984671i | \(-0.555806\pi\) |
−0.584382 | + | 0.811479i | \(0.698663\pi\) | |||||||
\(618\) | 7.27483 | + | 8.70737i | 0.292637 | + | 0.350262i | ||||
\(619\) | 9.02598i | 0.362785i | 0.983411 | + | 0.181392i | \(0.0580604\pi\) | ||||
−0.983411 | + | 0.181392i | \(0.941940\pi\) | |||||||
\(620\) | −33.6010 | − | 7.66920i | −1.34945 | − | 0.308003i | ||||
\(621\) | 15.2865 | + | 10.5657i | 0.613428 | + | 0.423989i | ||||
\(622\) | 16.1701 | − | 12.8952i | 0.648360 | − | 0.517050i | ||||
\(623\) | 3.75950 | + | 17.0620i | 0.150621 | + | 0.683576i | ||||
\(624\) | 0.0358946 | + | 1.57367i | 0.00143694 | + | 0.0629972i | ||||
\(625\) | 4.10564 | − | 17.9880i | 0.164226 | − | 0.719519i | ||||
\(626\) | 3.98891 | − | 5.00193i | 0.159429 | − | 0.199917i | ||||
\(627\) | 4.75989 | + | 2.15994i | 0.190092 | + | 0.0862599i | ||||
\(628\) | 7.21021 | − | 5.74995i | 0.287719 | − | 0.229448i | ||||
\(629\) | −2.30149 | − | 1.10834i | −0.0917662 | − | 0.0441923i | ||||
\(630\) | −12.3602 | − | 23.3477i | −0.492443 | − | 0.930195i | ||||
\(631\) | −0.967317 | + | 0.465835i | −0.0385083 | + | 0.0185446i | −0.453039 | − | 0.891491i | \(-0.649660\pi\) |
0.414531 | + | 0.910035i | \(0.363946\pi\) | |||||||
\(632\) | 1.80980 | − | 3.75809i | 0.0719900 | − | 0.149489i | ||||
\(633\) | 1.56742 | − | 2.06016i | 0.0622995 | − | 0.0818842i | ||||
\(634\) | 20.8278 | + | 10.0301i | 0.827176 | + | 0.398347i | ||||
\(635\) | −14.4212 | + | 18.0836i | −0.572287 | + | 0.717625i | ||||
\(636\) | −3.46650 | + | 2.89619i | −0.137456 | + | 0.114841i | ||||
\(637\) | −0.0956990 | + | 6.36084i | −0.00379173 | + | 0.252026i | ||||
\(638\) | 4.57740i | 0.181221i | ||||||||
\(639\) | −35.5769 | + | 31.1285i | −1.40740 | + | 1.23143i | ||||
\(640\) | −1.44410 | + | 2.99870i | −0.0570830 | + | 0.118534i | ||||
\(641\) | 29.0733 | − | 6.63579i | 1.14833 | − | 0.262098i | 0.394325 | − | 0.918971i | \(-0.370979\pi\) |
0.754001 | + | 0.656873i | \(0.228121\pi\) | |||||||
\(642\) | −0.670835 | − | 2.65818i | −0.0264758 | − | 0.104910i | ||||
\(643\) | −3.57306 | − | 7.41953i | −0.140908 | − | 0.292598i | 0.818558 | − | 0.574424i | \(-0.194774\pi\) |
−0.959465 | + | 0.281827i | \(0.909060\pi\) | |||||||
\(644\) | 0.0711704 | − | 9.46153i | 0.00280451 | − | 0.372837i | ||||
\(645\) | −13.1238 | − | 52.0029i | −0.516749 | − | 2.04761i | ||||
\(646\) | −2.26561 | − | 2.84099i | −0.0891394 | − | 0.111777i | ||||
\(647\) | 31.9678 | − | 15.3949i | 1.25678 | − | 0.605236i | 0.317462 | − | 0.948271i | \(-0.397169\pi\) |
0.939322 | + | 0.343035i | \(0.111455\pi\) | |||||||
\(648\) | 4.62739 | + | 7.71928i | 0.181781 | + | 0.303242i | ||||
\(649\) | 24.3403 | + | 5.55552i | 0.955440 | + | 0.218073i | ||||
\(650\) | −3.44373 | + | 4.31830i | −0.135074 | + | 0.169378i | ||||
\(651\) | 46.4194 | + | 9.85105i | 1.81932 | + | 0.386093i | ||||
\(652\) | 12.9266 | + | 16.2094i | 0.506244 | + | 0.634810i | ||||
\(653\) | 2.84812 | + | 5.91418i | 0.111456 | + | 0.231440i | 0.949234 | − | 0.314570i | \(-0.101860\pi\) |
−0.837779 | + | 0.546010i | \(0.816146\pi\) | |||||||
\(654\) | −6.56818 | − | 12.8791i | −0.256836 | − | 0.503614i | ||||
\(655\) | −58.9934 | −2.30506 | ||||||||
\(656\) | −4.25673 | −0.166197 | ||||||||
\(657\) | 13.2308 | − | 31.0178i | 0.516183 | − | 1.21012i | ||||
\(658\) | −33.4499 | − | 7.89991i | −1.30401 | − | 0.307971i | ||||
\(659\) | −21.4339 | + | 4.89215i | −0.834946 | + | 0.190571i | −0.618561 | − | 0.785737i | \(-0.712284\pi\) |
−0.216385 | + | 0.976308i | \(0.569427\pi\) | |||||||
\(660\) | 9.84970 | + | 7.49389i | 0.383399 | + | 0.291699i | ||||
\(661\) | 19.9653 | − | 15.9218i | 0.776562 | − | 0.619287i | −0.152885 | − | 0.988244i | \(-0.548856\pi\) |
0.929447 | + | 0.368957i | \(0.120285\pi\) | |||||||
\(662\) | −16.4297 | + | 13.1023i | −0.638559 | + | 0.509234i | ||||
\(663\) | −3.23837 | − | 2.46383i | −0.125768 | − | 0.0956874i | ||||
\(664\) | 1.03318 | − | 0.235817i | 0.0400952 | − | 0.00915146i | ||||
\(665\) | 9.73544 | − | 7.64466i | 0.377524 | − | 0.296447i | ||||
\(666\) | −1.16312 | + | 2.72677i | −0.0450700 | + | 0.105660i | ||||
\(667\) | −7.62489 | −0.295237 | ||||||||
\(668\) | 6.01723 | 0.232814 | ||||||||
\(669\) | −3.13516 | − | 6.14754i | −0.121212 | − | 0.237677i | ||||
\(670\) | −15.6459 | − | 32.4891i | −0.604454 | − | 1.25516i | ||||
\(671\) | 16.0299 | + | 20.1009i | 0.618828 | + | 0.775986i | ||||
\(672\) | 1.92497 | − | 4.15866i | 0.0742574 | − | 0.160424i | ||||
\(673\) | −3.71310 | + | 4.65608i | −0.143129 | + | 0.179479i | −0.848229 | − | 0.529630i | \(-0.822331\pi\) |
0.705100 | + | 0.709108i | \(0.250902\pi\) | |||||||
\(674\) | 18.8157 | + | 4.29456i | 0.724753 | + | 0.165420i | ||||
\(675\) | −4.90603 | + | 31.1969i | −0.188833 | + | 1.20077i | ||||
\(676\) | 10.9685 | − | 5.28214i | 0.421865 | − | 0.203159i | ||||
\(677\) | −27.7958 | − | 34.8549i | −1.06828 | − | 1.33958i | −0.937428 | − | 0.348179i | \(-0.886800\pi\) |
−0.130852 | − | 0.991402i | \(-0.541771\pi\) | |||||||
\(678\) | 0.759647 | + | 3.01009i | 0.0291741 | + | 0.115602i | ||||
\(679\) | 22.1548 | − | 45.1332i | 0.850221 | − | 1.73205i | ||||
\(680\) | −3.73309 | − | 7.75184i | −0.143157 | − | 0.297270i | ||||
\(681\) | 5.67827 | + | 22.5001i | 0.217592 | + | 0.862205i | ||||
\(682\) | −21.6740 | + | 4.94694i | −0.829939 | + | 0.189428i | ||||
\(683\) | 9.31972 | − | 19.3526i | 0.356609 | − | 0.740507i | −0.643071 | − | 0.765807i | \(-0.722340\pi\) |
0.999680 | + | 0.0253000i | \(0.00805411\pi\) | |||||||
\(684\) | −3.17369 | + | 2.77686i | −0.121349 | + | 0.106176i | ||||
\(685\) | 7.31425i | 0.279463i | ||||||||
\(686\) | 8.41010 | − | 16.5006i | 0.321099 | − | 0.629996i | ||||
\(687\) | 34.5505 | − | 28.8662i | 1.31818 | − | 1.10132i | ||||
\(688\) | 5.80070 | − | 7.27384i | 0.221149 | − | 0.277313i | ||||
\(689\) | −2.13540 | − | 1.02835i | −0.0813521 | − | 0.0391771i | ||||
\(690\) | −12.4831 | + | 16.4073i | −0.475223 | + | 0.624616i | ||||
\(691\) | −8.55898 | + | 17.7729i | −0.325599 | + | 0.676113i | −0.997942 | − | 0.0641269i | \(-0.979574\pi\) |
0.672343 | + | 0.740240i | \(0.265288\pi\) | |||||||
\(692\) | 5.66764 | − | 2.72939i | 0.215451 | − | 0.103756i | ||||
\(693\) | −13.7177 | − | 10.1095i | −0.521091 | − | 0.384028i | ||||
\(694\) | −23.7069 | − | 11.4166i | −0.899900 | − | 0.433369i | ||||
\(695\) | −51.9617 | + | 41.4381i | −1.97102 | + | 1.57184i | ||||
\(696\) | −3.36288 | − | 1.52601i | −0.127469 | − | 0.0578432i | ||||
\(697\) | 6.86084 | − | 8.60322i | 0.259873 | − | 0.325870i | ||||
\(698\) | −2.02627 | + | 8.87769i | −0.0766956 | + | 0.336025i | ||||
\(699\) | −0.861017 | − | 37.7481i | −0.0325667 | − | 1.42777i | ||||
\(700\) | 14.5396 | − | 6.86763i | 0.549543 | − | 0.259572i | ||||
\(701\) | 35.4420 | − | 28.2641i | 1.33863 | − | 1.06752i | 0.347071 | − | 0.937839i | \(-0.387176\pi\) |
0.991556 | − | 0.129681i | \(-0.0413952\pi\) | |||||||
\(702\) | −2.68498 | + | 3.88463i | −0.101338 | + | 0.146616i | ||||
\(703\) | −1.35420 | − | 0.309088i | −0.0510748 | − | 0.0116575i | ||||
\(704\) | 2.14689i | 0.0809140i | ||||||||
\(705\) | 48.0154 | + | 57.4704i | 1.80836 | + | 2.16446i | ||||
\(706\) | −14.9296 | − | 3.40759i | −0.561884 | − | 0.128246i | ||||
\(707\) | 21.9115 | + | 27.9042i | 0.824067 | + | 1.04944i | ||||
\(708\) | −12.1960 | + | 16.0300i | −0.458354 | + | 0.602444i | ||||
\(709\) | −2.08770 | − | 9.14683i | −0.0784054 | − | 0.343516i | 0.920476 | − | 0.390799i | \(-0.127801\pi\) |
−0.998882 | + | 0.0472823i | \(0.984944\pi\) | |||||||
\(710\) | −32.6995 | − | 41.0039i | −1.22719 | − | 1.53885i | ||||
\(711\) | 11.0150 | − | 5.93781i | 0.413095 | − | 0.222685i | ||||
\(712\) | 6.43797 | − | 1.46942i | 0.241273 | − | 0.0550690i | ||||
\(713\) | −8.24046 | − | 36.1038i | −0.308608 | − | 1.35210i | ||||
\(714\) | 5.30242 | + | 10.5933i | 0.198438 | + | 0.396445i | ||||
\(715\) | −1.44501 | + | 6.33099i | −0.0540402 | + | 0.236766i | ||||
\(716\) | − | 6.07631i | − | 0.227082i | ||||||
\(717\) | −6.33437 | + | 5.29224i | −0.236561 | + | 0.197642i | ||||
\(718\) | 5.35832 | − | 23.4763i | 0.199971 | − | 0.876129i | ||||
\(719\) | 2.87407 | − | 1.38408i | 0.107185 | − | 0.0516174i | −0.379523 | − | 0.925182i | \(-0.623912\pi\) |
0.486708 | + | 0.873565i | \(0.338198\pi\) | |||||||
\(720\) | −8.78921 | + | 4.73797i | −0.327555 | + | 0.176574i | ||||
\(721\) | 13.6316 | − | 10.7041i | 0.507666 | − | 0.398640i | ||||
\(722\) | 13.3100 | + | 10.6143i | 0.495345 | + | 0.395025i | ||||
\(723\) | −3.43628 | − | 6.73799i | −0.127797 | − | 0.250588i | ||||
\(724\) | 1.10146 | + | 0.878387i | 0.0409355 | + | 0.0326450i | ||||
\(725\) | −5.62233 | − | 11.6749i | −0.208808 | − | 0.433594i | ||||
\(726\) | −10.8451 | − | 2.21642i | −0.402500 | − | 0.0822590i | ||||
\(727\) | −16.7712 | + | 34.8257i | −0.622008 | + | 1.29161i | 0.317231 | + | 0.948348i | \(0.397247\pi\) |
−0.939239 | + | 0.343264i | \(0.888467\pi\) | |||||||
\(728\) | 2.40438 | + | 0.0180859i | 0.0891121 | + | 0.000670309i | ||||
\(729\) | −2.36126 | + | 26.8966i | −0.0874542 | + | 0.996169i | ||||
\(730\) | 33.7071 | + | 16.2325i | 1.24756 | + | 0.600792i | ||||
\(731\) | 5.35172 | + | 23.4474i | 0.197940 | + | 0.867234i | ||||
\(732\) | −20.1115 | + | 5.07549i | −0.743344 | + | 0.187595i | ||||
\(733\) | 12.3848 | + | 9.87658i | 0.457445 | + | 0.364800i | 0.824935 | − | 0.565227i | \(-0.191212\pi\) |
−0.367491 | + | 0.930027i | \(0.619783\pi\) | |||||||
\(734\) | −3.51702 | −0.129815 | ||||||||
\(735\) | −36.2203 | + | 17.7904i | −1.33601 | + | 0.656210i | ||||
\(736\) | −3.57622 | −0.131821 | ||||||||
\(737\) | −18.1856 | − | 14.5025i | −0.669874 | − | 0.534207i | ||||
\(738\) | −10.3368 | − | 7.49858i | −0.380503 | − | 0.276026i | ||||
\(739\) | 6.15020 | + | 26.9458i | 0.226239 | + | 0.991217i | 0.952677 | + | 0.303985i | \(0.0983173\pi\) |
−0.726438 | + | 0.687232i | \(0.758826\pi\) | |||||||
\(740\) | −2.96319 | − | 1.42700i | −0.108929 | − | 0.0524575i | ||||
\(741\) | −2.01489 | − | 0.914320i | −0.0740190 | − | 0.0335884i | ||||
\(742\) | 4.26141 | + | 5.42688i | 0.156441 | + | 0.199227i | ||||
\(743\) | −18.3000 | + | 38.0004i | −0.671362 | + | 1.39410i | 0.235167 | + | 0.971955i | \(0.424436\pi\) |
−0.906529 | + | 0.422143i | \(0.861278\pi\) | |||||||
\(744\) | 3.59127 | − | 17.5724i | 0.131662 | − | 0.644236i | ||||
\(745\) | −4.58289 | − | 9.51646i | −0.167904 | − | 0.348656i | ||||
\(746\) | −20.8516 | − | 16.6286i | −0.763433 | − | 0.608817i | ||||
\(747\) | 2.92432 | + | 1.24739i | 0.106995 | + | 0.0456395i | ||||
\(748\) | −4.33905 | − | 3.46028i | −0.158651 | − | 0.126520i | ||||
\(749\) | −4.08964 | + | 0.901123i | −0.149432 | + | 0.0329263i | ||||
\(750\) | −6.08650 | − | 1.24390i | −0.222247 | − | 0.0454207i | ||||
\(751\) | −3.13095 | + | 1.50778i | −0.114250 | + | 0.0550198i | −0.490136 | − | 0.871646i | \(-0.663053\pi\) |
0.375886 | + | 0.926666i | \(0.377338\pi\) | |||||||
\(752\) | −2.89070 | + | 12.6650i | −0.105413 | + | 0.461845i | ||||
\(753\) | 14.9821 | + | 17.9323i | 0.545977 | + | 0.653489i | ||||
\(754\) | − | 1.93765i | − | 0.0705649i | ||||||
\(755\) | −12.1965 | + | 53.4364i | −0.443876 | + | 1.94475i | ||||
\(756\) | 12.0003 | − | 6.70765i | 0.436447 | − | 0.243955i | ||||
\(757\) | −1.47280 | − | 6.45275i | −0.0535298 | − | 0.234529i | 0.941085 | − | 0.338170i | \(-0.109808\pi\) |
−0.994615 | + | 0.103641i | \(0.966951\pi\) | |||||||
\(758\) | 8.79717 | − | 2.00790i | 0.319528 | − | 0.0729301i | ||||
\(759\) | −2.66273 | + | 13.0290i | −0.0966510 | + | 0.472922i | ||||
\(760\) | −2.91701 | − | 3.65781i | −0.105811 | − | 0.132683i | ||||
\(761\) | −0.0972160 | − | 0.425931i | −0.00352408 | − | 0.0154400i | 0.973135 | − | 0.230234i | \(-0.0739491\pi\) |
−0.976659 | + | 0.214794i | \(0.931092\pi\) | |||||||
\(762\) | −9.57939 | − | 7.28823i | −0.347025 | − | 0.264025i | ||||
\(763\) | −19.9684 | + | 9.43190i | −0.722904 | + | 0.341458i | ||||
\(764\) | −13.3021 | − | 3.03612i | −0.481254 | − | 0.109843i | ||||
\(765\) | 4.59028 | − | 25.4002i | 0.165962 | − | 0.918348i | ||||
\(766\) | − | 11.0585i | − | 0.399561i | ||||||
\(767\) | −10.3034 | − | 2.35169i | −0.372035 | − | 0.0849146i | ||||
\(768\) | −1.57726 | − | 0.715728i | −0.0569143 | − | 0.0258266i | ||||
\(769\) | 2.92291 | − | 2.33094i | 0.105403 | − | 0.0840560i | −0.569370 | − | 0.822081i | \(-0.692813\pi\) |
0.674773 | + | 0.738025i | \(0.264241\pi\) | |||||||
\(770\) | 11.8981 | − | 14.6916i | 0.428777 | − | 0.529450i | ||||
\(771\) | 41.7568 | − | 0.952453i | 1.50383 | − | 0.0343017i | ||||
\(772\) | −2.34779 | + | 10.2863i | −0.0844986 | + | 0.370213i | ||||
\(773\) | −1.26192 | + | 1.58240i | −0.0453882 | + | 0.0569151i | −0.804008 | − | 0.594619i | \(-0.797303\pi\) |
0.758619 | + | 0.651534i | \(0.225874\pi\) | |||||||
\(774\) | 26.8995 | − | 7.44497i | 0.966883 | − | 0.267604i | ||||
\(775\) | 49.2043 | − | 39.2391i | 1.76747 | − | 1.40951i | ||||
\(776\) | −17.1212 | − | 8.24516i | −0.614617 | − | 0.295984i | ||||
\(777\) | 4.10942 | + | 1.90218i | 0.147425 | + | 0.0682403i | ||||
\(778\) | −16.8360 | + | 8.10779i | −0.603599 | + | 0.290678i | ||||
\(779\) | 2.59618 | − | 5.39102i | 0.0930177 | − | 0.193153i | ||||
\(780\) | −4.16945 | − | 3.17222i | −0.149290 | − | 0.113584i | ||||
\(781\) | −30.4796 | − | 14.6782i | −1.09064 | − | 0.525227i | ||||
\(782\) | 5.76402 | − | 7.22786i | 0.206121 | − | 0.258468i | ||||
\(783\) | −5.47802 | − | 9.62964i | −0.195768 | − | 0.344135i | ||||
\(784\) | −6.26038 | − | 3.13172i | −0.223585 | − | 0.111847i | ||||
\(785\) | 30.6943i | 1.09553i | ||||||||
\(786\) | −0.700073 | − | 30.6922i | −0.0249708 | − | 1.09475i | ||||
\(787\) | −7.96937 | + | 16.5486i | −0.284077 | + | 0.589893i | −0.993362 | − | 0.115029i | \(-0.963304\pi\) |
0.709285 | + | 0.704922i | \(0.249018\pi\) | |||||||
\(788\) | 0.731516 | − | 0.166964i | 0.0260592 | − | 0.00594784i | ||||
\(789\) | 45.4020 | − | 11.4580i | 1.61635 | − | 0.407914i | ||||
\(790\) | 6.02358 | + | 12.5081i | 0.214309 | + | 0.445018i | ||||
\(791\) | 4.63106 | − | 1.02042i | 0.164661 | − | 0.0362820i | ||||
\(792\) | −3.78192 | + | 5.21338i | −0.134385 | + | 0.185249i | ||||
\(793\) | −6.78558 | − | 8.50885i | −0.240963 | − | 0.302158i | ||||
\(794\) | 3.23469 | − | 1.55775i | 0.114795 | − | 0.0552823i | ||||
\(795\) | −0.342839 | − | 15.0305i | −0.0121592 | − | 0.533078i | ||||
\(796\) | −12.4646 | − | 2.84497i | −0.441797 | − | 0.100837i | ||||
\(797\) | 0.395321 | − | 0.495717i | 0.0140030 | − | 0.0175592i | −0.774781 | − | 0.632230i | \(-0.782140\pi\) |
0.788784 | + | 0.614671i | \(0.210711\pi\) | |||||||
\(798\) | 4.09278 | + | 4.97428i | 0.144883 | + | 0.176088i | ||||
\(799\) | −20.9379 | − | 26.2553i | −0.740730 | − | 0.928846i | ||||
\(800\) | −2.63698 | − | 5.47575i | −0.0932315 | − | 0.193597i | ||||
\(801\) | 18.2221 | + | 7.77274i | 0.643846 | + | 0.274636i | ||||
\(802\) | −10.1568 | −0.358650 | ||||||||
\(803\) | 24.1323 | 0.851610 | ||||||||
\(804\) | 16.7172 | − | 8.52556i | 0.589572 | − | 0.300673i | ||||
\(805\) | 24.4729 | + | 19.8194i | 0.862555 | + | 0.698543i | ||||
\(806\) | 9.17475 | − | 2.09408i | 0.323167 | − | 0.0737607i | ||||
\(807\) | −1.35825 | + | 1.78523i | −0.0478126 | + | 0.0628431i | ||||
\(808\) | 10.4842 | − | 8.36087i | 0.368833 | − | 0.294134i | ||||
\(809\) | −17.4184 | + | 13.8907i | −0.612399 | + | 0.488372i | −0.879883 | − | 0.475190i | \(-0.842379\pi\) |
0.267484 | + | 0.963562i | \(0.413808\pi\) | |||||||
\(810\) | −29.6895 | − | 3.97751i | −1.04318 | − | 0.139755i | ||||
\(811\) | 1.31409 | − | 0.299932i | 0.0461439 | − | 0.0105320i | −0.199387 | − | 0.979921i | \(-0.563895\pi\) |
0.245531 | + | 0.969389i | \(0.421038\pi\) | |||||||
\(812\) | −2.48571 | + | 5.06383i | −0.0872312 | + | 0.177706i | ||||
\(813\) | −14.2082 | − | 27.8599i | −0.498302 | − | 0.977090i | ||||
\(814\) | −2.12147 | −0.0743575 | ||||||||
\(815\) | −69.0045 | −2.41712 | ||||||||
\(816\) | 3.98871 | − | 2.03419i | 0.139633 | − | 0.0712107i | ||||
\(817\) | 5.67425 | + | 11.7827i | 0.198517 | + | 0.412225i | ||||
\(818\) | 13.2809 | + | 16.6537i | 0.464354 | + | 0.582282i | ||||
\(819\) | 5.80678 | + | 4.27942i | 0.202905 | + | 0.149535i | ||||
\(820\) | 8.83342 | − | 11.0768i | 0.308477 | − | 0.386817i | ||||
\(821\) | −24.9931 | − | 5.70451i | −0.872266 | − | 0.199089i | −0.237119 | − | 0.971481i | \(-0.576203\pi\) |
−0.635147 | + | 0.772392i | \(0.719060\pi\) | |||||||
\(822\) | −3.80535 | + | 0.0867981i | −0.132727 | + | 0.00302743i | ||||
\(823\) | 42.3374 | − | 20.3886i | 1.47579 | − | 0.710703i | 0.488936 | − | 0.872320i | \(-0.337385\pi\) |
0.986854 | + | 0.161617i | \(0.0516708\pi\) | |||||||
\(824\) | −4.08440 | − | 5.12167i | −0.142287 | − | 0.178422i | ||||
\(825\) | −21.9128 | + | 5.53006i | −0.762905 | + | 0.192532i | ||||
\(826\) | 23.9100 | + | 19.3636i | 0.831937 | + | 0.673747i | ||||
\(827\) | −17.7617 | − | 36.8825i | −0.617634 | − | 1.28253i | −0.941686 | − | 0.336492i | \(-0.890760\pi\) |
0.324052 | − | 0.946039i | \(-0.394955\pi\) | |||||||
\(828\) | −8.68429 | − | 6.29981i | −0.301800 | − | 0.218933i | ||||
\(829\) | −30.0739 | + | 6.86417i | −1.04451 | + | 0.238403i | −0.710156 | − | 0.704045i | \(-0.751375\pi\) |
−0.334355 | + | 0.942447i | \(0.608518\pi\) | |||||||
\(830\) | −1.53038 | + | 3.17788i | −0.0531204 | + | 0.110306i | ||||
\(831\) | −8.22345 | + | 0.187573i | −0.285268 | + | 0.00650683i | ||||
\(832\) | − | 0.908794i | − | 0.0315068i | ||||||
\(833\) | 16.4197 | − | 7.60518i | 0.568909 | − | 0.263504i | ||||
\(834\) | −22.1754 | − | 26.5421i | −0.767871 | − | 0.919078i | ||||
\(835\) | −12.4868 | + | 15.6579i | −0.432122 | + | 0.541864i | ||||
\(836\) | −2.71897 | − | 1.30939i | −0.0940376 | − | 0.0452861i | ||||
\(837\) | 39.6760 | − | 36.3455i | 1.37140 | − | 1.25628i | ||||
\(838\) | 9.74674 | − | 20.2393i | 0.336696 | − | 0.699156i | ||||
\(839\) | −6.69255 | + | 3.22296i | −0.231052 | + | 0.111269i | −0.545828 | − | 0.837897i | \(-0.683785\pi\) |
0.314776 | + | 0.949166i | \(0.398071\pi\) | |||||||
\(840\) | 6.82693 | + | 13.6390i | 0.235552 | + | 0.470591i | ||||
\(841\) | −22.0324 | − | 10.6102i | −0.759738 | − | 0.365871i | ||||
\(842\) | 13.8197 | − | 11.0208i | 0.476257 | − | 0.379803i | ||||
\(843\) | −4.07470 | + | 8.97944i | −0.140340 | + | 0.309268i | ||||
\(844\) | −0.931840 | + | 1.16849i | −0.0320753 | + | 0.0402211i | ||||
\(845\) | −9.01635 | + | 39.5032i | −0.310172 | + | 1.35895i | ||||
\(846\) | −29.3300 | + | 25.6627i | −1.00839 | + | 0.882302i | ||||
\(847\) | −3.88641 | + | 16.4559i | −0.133539 | + | 0.565432i | ||||
\(848\) | 2.03899 | − | 1.62604i | 0.0700194 | − | 0.0558386i | ||||
\(849\) | 2.26777 | − | 4.99751i | 0.0778297 | − | 0.171514i | ||||
\(850\) | 15.3172 | + | 3.49604i | 0.525374 | + | 0.119913i | ||||
\(851\) | − | 3.53388i | − | 0.121140i | ||||||
\(852\) | 20.9448 | − | 17.4990i | 0.717558 | − | 0.599506i | ||||
\(853\) | 25.3140 | + | 5.77776i | 0.866735 | + | 0.197827i | 0.632696 | − | 0.774401i | \(-0.281948\pi\) |
0.234039 | + | 0.972227i | \(0.424806\pi\) | |||||||
\(854\) | 6.81782 | + | 30.9418i | 0.233301 | + | 1.05881i | ||||
\(855\) | −0.639955 | − | 14.0209i | −0.0218860 | − | 0.479506i | ||||
\(856\) | 0.352210 | + | 1.54313i | 0.0120383 | + | 0.0527431i | ||||
\(857\) | 29.7384 | + | 37.2908i | 1.01584 | + | 1.27383i | 0.961354 | + | 0.275314i | \(0.0887818\pi\) |
0.0544899 | + | 0.998514i | \(0.482647\pi\) | |||||||
\(858\) | −3.31094 | − | 0.676656i | −0.113034 | − | 0.0231007i | ||||
\(859\) | −24.0156 | + | 5.48141i | −0.819402 | + | 0.187023i | −0.611620 | − | 0.791152i | \(-0.709482\pi\) |
−0.207782 | + | 0.978175i | \(0.566625\pi\) | |||||||
\(860\) | 6.89041 | + | 30.1889i | 0.234961 | + | 1.02943i | ||||
\(861\) | −11.9278 | + | 15.4351i | −0.406498 | + | 0.526028i | ||||
\(862\) | 3.53392 | − | 15.4831i | 0.120366 | − | 0.527356i | ||||
\(863\) | 29.9144i | 1.01830i | 0.860679 | + | 0.509148i | \(0.170040\pi\) | ||||
−0.860679 | + | 0.509148i | \(0.829960\pi\) | |||||||
\(864\) | −2.56930 | − | 4.51649i | −0.0874093 | − | 0.153654i | ||||
\(865\) | −4.65893 | + | 20.4121i | −0.158409 | + | 0.694033i | ||||
\(866\) | −1.15502 | + | 0.556227i | −0.0392491 | + | 0.0189014i | ||||
\(867\) | 3.57820 | − | 17.5084i | 0.121522 | − | 0.594617i | ||||
\(868\) | −26.6636 | − | 6.29717i | −0.905022 | − | 0.213740i | ||||
\(869\) | 7.00133 | + | 5.58338i | 0.237504 | + | 0.189403i | ||||
\(870\) | 10.9495 | − | 5.58407i | 0.371222 | − | 0.189318i | ||||
\(871\) | 7.69809 | + | 6.13902i | 0.260840 | + | 0.208013i | ||||
\(872\) | 3.62159 | + | 7.52032i | 0.122643 | + | 0.254670i | ||||
\(873\) | −27.0517 | − | 50.1825i | −0.915561 | − | 1.69842i | ||||
\(874\) | 2.18114 | − | 4.52918i | 0.0737780 | − | 0.153202i | ||||
\(875\) | −2.18113 | + | 9.23539i | −0.0737357 | + | 0.312213i | ||||
\(876\) | −8.04519 | + | 17.7293i | −0.271822 | + | 0.599016i | ||||
\(877\) | −13.8229 | − | 6.65675i | −0.466765 | − | 0.224782i | 0.185692 | − | 0.982608i | \(-0.440547\pi\) |
−0.652457 | + | 0.757826i | \(0.726262\pi\) | |||||||
\(878\) | −5.66111 | − | 24.8030i | −0.191053 | − | 0.837059i | ||||
\(879\) | −4.93401 | − | 19.5509i | −0.166420 | − | 0.659437i | ||||
\(880\) | −5.58659 | − | 4.45515i | −0.188324 | − | 0.150183i | ||||
\(881\) | −9.04088 | −0.304595 | −0.152298 | − | 0.988335i | \(-0.548667\pi\) | ||||
−0.152298 | + | 0.988335i | \(0.548667\pi\) | |||||||
\(882\) | −9.68555 | − | 18.6330i | −0.326130 | − | 0.627407i | ||||
\(883\) | 24.8146 | 0.835078 | 0.417539 | − | 0.908659i | \(-0.362893\pi\) | ||||
0.417539 | + | 0.908659i | \(0.362893\pi\) | |||||||
\(884\) | 1.83675 | + | 1.46476i | 0.0617767 | + | 0.0492652i | ||||
\(885\) | −16.4041 | − | 65.0010i | −0.551418 | − | 2.18498i | ||||
\(886\) | 2.85850 | + | 12.5239i | 0.0960331 | + | 0.420748i | ||||
\(887\) | −38.1766 | − | 18.3849i | −1.28185 | − | 0.617304i | −0.335982 | − | 0.941869i | \(-0.609068\pi\) |
−0.945864 | + | 0.324564i | \(0.894782\pi\) | |||||||
\(888\) | 0.707253 | − | 1.55858i | 0.0237338 | − | 0.0523025i | ||||
\(889\) | −11.5715 | + | 14.2884i | −0.388097 | + | 0.479219i | ||||
\(890\) | −9.53616 | + | 19.8020i | −0.319653 | + | 0.663766i | ||||
\(891\) | −18.3676 | + | 5.99770i | −0.615337 | + | 0.200931i | ||||
\(892\) | 1.72868 | + | 3.58964i | 0.0578804 | + | 0.120190i | ||||
\(893\) | −14.2768 | − | 11.3854i | −0.477754 | − | 0.380996i | ||||
\(894\) | 4.89669 | − | 2.49725i | 0.163770 | − | 0.0835204i | ||||
\(895\) | 15.8116 | + | 12.6093i | 0.528524 | + | 0.421484i | ||||
\(896\) | −1.16585 | + | 2.37504i | −0.0389482 | + | 0.0793444i | ||||
\(897\) | 1.12715 | − | 5.51526i | 0.0376345 | − | 0.184149i | ||||
\(898\) | −8.70919 | + | 4.19412i | −0.290629 | + | 0.139960i | ||||
\(899\) | −4.91287 | + | 21.5247i | −0.163854 | + | 0.717889i | ||||
\(900\) | 3.24249 | − | 17.9422i | 0.108083 | − | 0.598075i | ||||
\(901\) | 6.74178i | 0.224601i | ||||||||
\(902\) | 2.03356 | − | 8.90961i | 0.0677102 | − | 0.296658i | ||||
\(903\) | −10.1212 | − | 41.4156i | −0.336812 | − | 1.37823i | ||||
\(904\) | −0.398838 | − | 1.74742i | −0.0132652 | − | 0.0581185i | ||||
\(905\) | −4.57143 | + | 1.04340i | −0.151960 | + | 0.0346838i | ||||
\(906\) | −27.9458 | − | 5.71128i | −0.928437 | − | 0.189745i | ||||
\(907\) | 1.08980 | + | 1.36657i | 0.0361863 | + | 0.0453761i | 0.799595 | − | 0.600539i | \(-0.205047\pi\) |
−0.763409 | + | 0.645915i | \(0.776476\pi\) | |||||||
\(908\) | −2.98127 | − | 13.0618i | −0.0989370 | − | 0.433471i | ||||
\(909\) | 40.1875 | − | 1.83427i | 1.33294 | − | 0.0608389i | ||||
\(910\) | −5.03654 | + | 6.21908i | −0.166960 | + | 0.206160i | ||||
\(911\) | 29.9302 | + | 6.83138i | 0.991633 | + | 0.226334i | 0.687412 | − | 0.726268i | \(-0.258747\pi\) |
0.304221 | + | 0.952601i | \(0.401604\pi\) | |||||||
\(912\) | 1.86841 | − | 1.56102i | 0.0618694 | − | 0.0516906i | ||||
\(913\) | 2.27517i | 0.0752971i | ||||||||
\(914\) | 31.9104 | + | 7.28335i | 1.05550 | + | 0.240912i | ||||
\(915\) | 28.5275 | − | 62.8662i | 0.943089 | − | 2.07829i | ||||
\(916\) | −20.3226 | + | 16.2067i | −0.671477 | + | 0.535485i | ||||
\(917\) | −46.8939 | − | 0.352740i | −1.54857 | − | 0.0116485i | ||||
\(918\) | 13.2693 | + | 2.08674i | 0.437953 | + | 0.0688726i | ||||
\(919\) | 0.413327 | − | 1.81090i | 0.0136344 | − | 0.0597362i | −0.967653 | − | 0.252285i | \(-0.918818\pi\) |
0.981287 | + | 0.192548i | \(0.0616752\pi\) | |||||||
\(920\) | 7.42126 | − | 9.30596i | 0.244672 | − | 0.306808i | ||||
\(921\) | 5.76041 | − | 12.6943i | 0.189812 | − | 0.418290i | ||||
\(922\) | 4.88875 | − | 3.89864i | 0.161002 | − | 0.128395i | ||||
\(923\) | 12.9022 | + | 6.21338i | 0.424682 | + | 0.204516i | ||||
\(924\) | 7.78474 | + | 6.01580i | 0.256099 | + | 0.197905i | ||||
\(925\) | 5.41091 | − | 2.60576i | 0.177910 | − | 0.0856768i | ||||
\(926\) | −12.5129 | + | 25.9833i | −0.411199 | + | 0.853863i | ||||
\(927\) | −0.896066 | − | 19.6322i | −0.0294307 | − | 0.644804i | ||||
\(928\) | 1.92096 | + | 0.925086i | 0.0630586 | + | 0.0303674i | ||||
\(929\) | 10.7548 | − | 13.4860i | 0.352852 | − | 0.442463i | −0.573452 | − | 0.819239i | \(-0.694396\pi\) |
0.926304 | + | 0.376777i | \(0.122968\pi\) | |||||||
\(930\) | 38.2740 | + | 45.8108i | 1.25505 | + | 1.50219i | ||||
\(931\) | 7.78442 | − | 6.01854i | 0.255124 | − | 0.197250i | ||||
\(932\) | 21.7996i | 0.714069i | ||||||||
\(933\) | −35.8135 | + | 0.816888i | −1.17248 | + | 0.0267437i | ||||
\(934\) | −6.38685 | + | 13.2624i | −0.208984 | + | 0.433960i | ||||
\(935\) | 18.0085 | − | 4.11032i | 0.588941 | − | 0.134422i | ||||
\(936\) | 1.60091 | − | 2.20686i | 0.0523275 | − | 0.0721335i | ||||
\(937\) | 16.6245 | + | 34.5211i | 0.543098 | + | 1.12775i | 0.974249 | + | 0.225475i | \(0.0723932\pi\) |
−0.431151 | + | 0.902280i | \(0.641892\pi\) | |||||||
\(938\) | −12.2427 | − | 25.9192i | −0.399738 | − | 0.846290i | ||||
\(939\) | −10.7443 | + | 2.71150i | −0.350627 | + | 0.0884865i | ||||
\(940\) | −26.9578 | − | 33.8041i | −0.879268 | − | 1.10257i | ||||
\(941\) | −40.8988 | + | 19.6958i | −1.33326 | + | 0.642066i | −0.958510 | − | 0.285059i | \(-0.907987\pi\) |
−0.374753 | + | 0.927125i | \(0.622273\pi\) | |||||||
\(942\) | −15.9692 | + | 0.364249i | −0.520304 | + | 0.0118679i | ||||
\(943\) | 14.8414 | + | 3.38744i | 0.483301 | + | 0.110310i | ||||
\(944\) | 7.25058 | − | 9.09194i | 0.235986 | − | 0.295917i | ||||
\(945\) | −7.44814 | + | 45.1464i | −0.242288 | + | 1.46861i | ||||
\(946\) | 12.4535 | + | 15.6162i | 0.404897 | + | 0.507725i | ||||
\(947\) | 10.8559 | + | 22.5425i | 0.352770 | + | 0.732533i | 0.999545 | − | 0.0301466i | \(-0.00959741\pi\) |
−0.646776 | + | 0.762680i | \(0.723883\pi\) | |||||||
\(948\) | −6.43603 | + | 3.28229i | −0.209033 | + | 0.106604i | ||||
\(949\) | −10.2154 | −0.331605 | ||||||||
\(950\) | 8.54316 | 0.277177 | ||||||||
\(951\) | −18.1908 | − | 35.6692i | −0.589877 | − | 1.15665i | ||||
\(952\) | −2.92109 | − | 6.18427i | −0.0946730 | − | 0.200433i | ||||
\(953\) | 13.5586 | − | 3.09467i | 0.439207 | − | 0.100246i | 0.00280103 | − | 0.999996i | \(-0.499108\pi\) |
0.436406 | + | 0.899750i | \(0.356251\pi\) | |||||||
\(954\) | 7.81578 | − | 0.356734i | 0.253045 | − | 0.0115497i | ||||
\(955\) | 35.5046 | − | 28.3140i | 1.14890 | − | 0.916219i | ||||
\(956\) | 3.72587 | − | 2.97129i | 0.120503 | − | 0.0960982i | ||||
\(957\) | 4.80057 | − | 6.30970i | 0.155180 | − | 0.203964i | ||||
\(958\) | 29.0653 | − | 6.63397i | 0.939058 | − | 0.214334i | ||||
\(959\) | −0.0437342 | + | 5.81411i | −0.00141225 | + | 0.187747i | ||||
\(960\) | 5.13551 | − | 2.61904i | 0.165748 | − | 0.0845292i | ||||
\(961\) | −76.2289 | −2.45900 | ||||||||
\(962\) | 0.898033 | 0.0289538 | ||||||||
\(963\) | −1.86307 | + | 4.36769i | −0.0600364 | + | 0.140747i | ||||
\(964\) | 1.89471 | + | 3.93441i | 0.0610245 | + | 0.126719i | ||||
\(965\) | −21.8948 | − | 27.4552i | −0.704817 | − | 0.883813i | ||||
\(966\) | −10.0209 | + | 12.9676i | −0.322418 | + | 0.417225i | ||||
\(967\) | 3.32553 | − | 4.17008i | 0.106942 | − | 0.134101i | −0.725480 | − | 0.688243i | \(-0.758382\pi\) |
0.832422 | + | 0.554142i | \(0.186954\pi\) | |||||||
\(968\) | 6.23063 | + | 1.42210i | 0.200260 | + | 0.0457080i | ||||
\(969\) | 0.143523 | + | 6.29222i | 0.00461061 | + | 0.202135i | ||||
\(970\) | 56.9848 | − | 27.4424i | 1.82967 | − | 0.881123i | ||||
\(971\) | −4.71804 | − | 5.91623i | −0.151409 | − | 0.189861i | 0.700342 | − | 0.713807i | \(-0.253031\pi\) |
−0.851751 | + | 0.523946i | \(0.824459\pi\) | |||||||
\(972\) | 1.71703 | − | 15.4936i | 0.0550739 | − | 0.496958i | ||||
\(973\) | −41.5522 | + | 32.6285i | −1.33210 | + | 1.04602i | ||||
\(974\) | −16.8028 | − | 34.8914i | −0.538396 | − | 1.11799i | ||||
\(975\) | 9.27584 | − | 2.34091i | 0.297065 | − | 0.0749692i | ||||
\(976\) | 11.6752 | − | 2.66479i | 0.373714 | − | 0.0852978i | ||||
\(977\) | 3.74095 | − | 7.76815i | 0.119683 | − | 0.248525i | −0.832517 | − | 0.554000i | \(-0.813101\pi\) |
0.952200 | + | 0.305475i | \(0.0988151\pi\) | |||||||
\(978\) | −0.818876 | − | 35.9006i | −0.0261848 | − | 1.14798i | ||||
\(979\) | 14.1771i | 0.453101i | ||||||||
\(980\) | 21.1406 | − | 9.79177i | 0.675312 | − | 0.312787i | ||||
\(981\) | −4.45318 | + | 24.6416i | −0.142179 | + | 0.786746i | ||||
\(982\) | 17.1990 | − | 21.5669i | 0.548843 | − | 0.688227i | ||||
\(983\) | 3.52600 | + | 1.69803i | 0.112462 | + | 0.0541588i | 0.489269 | − | 0.872133i | \(-0.337264\pi\) |
−0.376807 | + | 0.926292i | \(0.622978\pi\) | |||||||
\(984\) | 5.86767 | + | 4.46427i | 0.187055 | + | 0.142316i | ||||
\(985\) | −1.08355 | + | 2.25001i | −0.0345247 | + | 0.0716913i | ||||
\(986\) | −4.96581 | + | 2.39141i | −0.158144 | + | 0.0761580i | ||||
\(987\) | 37.8239 | + | 45.9704i | 1.20395 | + | 1.46325i | ||||
\(988\) | 1.15096 | + | 0.554273i | 0.0366169 | + | 0.0176338i | ||||
\(989\) | −26.0129 | + | 20.7446i | −0.827162 | + | 0.659639i | ||||
\(990\) | −5.71802 | − | 20.6599i | −0.181731 | − | 0.656613i | ||||
\(991\) | 8.03495 | − | 10.0755i | 0.255239 | − | 0.320059i | −0.637659 | − | 0.770319i | \(-0.720097\pi\) |
0.892898 | + | 0.450260i | \(0.148669\pi\) | |||||||
\(992\) | −2.30424 | + | 10.0955i | −0.0731595 | + | 0.320533i | ||||
\(993\) | 36.3885 | − | 0.830005i | 1.15476 | − | 0.0263394i | ||||
\(994\) | −25.7477 | − | 32.7896i | −0.816669 | − | 1.04002i | ||||
\(995\) | 33.2693 | − | 26.5314i | 1.05471 | − | 0.841102i | ||||
\(996\) | −1.67150 | − | 0.758493i | −0.0529634 | − | 0.0240338i | ||||
\(997\) | 15.6975 | + | 3.58285i | 0.497145 | + | 0.113470i | 0.463739 | − | 0.885972i | \(-0.346508\pi\) |
0.0334057 | + | 0.999442i | \(0.489365\pi\) | |||||||
\(998\) | − | 4.03650i | − | 0.127773i | ||||||
\(999\) | 4.46301 | − | 2.53888i | 0.141203 | − | 0.0803265i |
(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 | 294.2.j.a.251.15 | yes | 120 | |
3.2 | odd | 2 | inner | 294.2.j.a.251.10 | yes | 120 | |
49.41 | odd | 14 | inner | 294.2.j.a.41.10 | ✓ | 120 | |
147.41 | even | 14 | inner | 294.2.j.a.41.15 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
294.2.j.a.41.10 | ✓ | 120 | 49.41 | odd | 14 | inner | |
294.2.j.a.41.15 | yes | 120 | 147.41 | even | 14 | inner | |
294.2.j.a.251.10 | yes | 120 | 3.2 | odd | 2 | inner | |
294.2.j.a.251.15 | yes | 120 | 1.1 | even | 1 | trivial |