Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(155,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.ba (of order \(6\), degree \(2\), 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: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 239.2 | ||
Character | \(\chi\) | \(=\) | 252.239 |
Dual form | 252.2.ba.a.155.2 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40378 | − | 0.171499i | −0.992620 | − | 0.121268i | ||||
\(3\) | −1.10270 | + | 1.33569i | −0.636642 | + | 0.771159i | ||||
\(4\) | 1.94118 | + | 0.481494i | 0.970588 | + | 0.240747i | ||||
\(5\) | 3.64166 | + | 2.10251i | 1.62860 | + | 0.940271i | 0.984512 | + | 0.175318i | \(0.0560955\pi\) |
0.644086 | + | 0.764953i | \(0.277238\pi\) | |||||||
\(6\) | 1.77701 | − | 1.68589i | 0.725461 | − | 0.688263i | ||||
\(7\) | 0.866025 | − | 0.500000i | 0.327327 | − | 0.188982i | ||||
\(8\) | −2.64240 | − | 1.00882i | −0.934230 | − | 0.356672i | ||||
\(9\) | −0.568119 | − | 2.94572i | −0.189373 | − | 0.981905i | ||||
\(10\) | −4.75149 | − | 3.57600i | −1.50255 | − | 1.13083i | ||||
\(11\) | 1.11389 | + | 1.92931i | 0.335850 | + | 0.581710i | 0.983648 | − | 0.180103i | \(-0.0576430\pi\) |
−0.647797 | + | 0.761813i | \(0.724310\pi\) | |||||||
\(12\) | −2.78365 | + | 2.06186i | −0.803572 | + | 0.595208i | ||||
\(13\) | 1.14629 | − | 1.98544i | 0.317925 | − | 0.550662i | −0.662130 | − | 0.749389i | \(-0.730347\pi\) |
0.980055 | + | 0.198727i | \(0.0636806\pi\) | |||||||
\(14\) | −1.30146 | + | 0.553365i | −0.347829 | + | 0.147893i | ||||
\(15\) | −6.82394 | + | 2.54568i | −1.76193 | + | 0.657292i | ||||
\(16\) | 3.53633 | + | 1.86933i | 0.884082 | + | 0.467332i | ||||
\(17\) | 3.74182i | 0.907524i | 0.891123 | + | 0.453762i | \(0.149918\pi\) | ||||
−0.891123 | + | 0.453762i | \(0.850082\pi\) | |||||||
\(18\) | 0.292323 | + | 4.23256i | 0.0689013 | + | 0.997623i | ||||
\(19\) | − | 4.90288i | − | 1.12480i | −0.826866 | − | 0.562399i | \(-0.809879\pi\) | ||
0.826866 | − | 0.562399i | \(-0.190121\pi\) | |||||||
\(20\) | 6.05675 | + | 5.83478i | 1.35433 | + | 1.30470i | ||||
\(21\) | −0.287120 | + | 1.70809i | −0.0626548 | + | 0.372735i | ||||
\(22\) | −1.23278 | − | 2.89936i | −0.262829 | − | 0.618145i | ||||
\(23\) | −2.71771 | + | 4.70721i | −0.566682 | + | 0.981522i | 0.430209 | + | 0.902729i | \(0.358440\pi\) |
−0.996891 | + | 0.0787925i | \(0.974894\pi\) | |||||||
\(24\) | 4.26123 | − | 2.41700i | 0.869821 | − | 0.493368i | ||||
\(25\) | 6.34110 | + | 10.9831i | 1.26822 | + | 2.19662i | ||||
\(26\) | −1.94964 | + | 2.59053i | −0.382357 | + | 0.508044i | ||||
\(27\) | 4.56102 | + | 2.48940i | 0.877768 | + | 0.479086i | ||||
\(28\) | 1.92185 | − | 0.553602i | 0.363196 | − | 0.104621i | ||||
\(29\) | 0.985523 | − | 0.568992i | 0.183007 | − | 0.105659i | −0.405698 | − | 0.914007i | \(-0.632971\pi\) |
0.588705 | + | 0.808348i | \(0.299638\pi\) | |||||||
\(30\) | 10.0159 | − | 2.40326i | 1.82864 | − | 0.438774i | ||||
\(31\) | 1.45004 | + | 0.837182i | 0.260435 | + | 0.150362i | 0.624533 | − | 0.780998i | \(-0.285289\pi\) |
−0.364098 | + | 0.931361i | \(0.618623\pi\) | |||||||
\(32\) | −4.64362 | − | 3.23060i | −0.820885 | − | 0.571094i | ||||
\(33\) | −3.80524 | − | 0.639641i | −0.662408 | − | 0.111347i | ||||
\(34\) | 0.641719 | − | 5.25267i | 0.110054 | − | 0.900826i | ||||
\(35\) | 4.20502 | 0.710778 | ||||||||
\(36\) | 0.315525 | − | 5.99170i | 0.0525874 | − | 0.998616i | ||||
\(37\) | −11.8022 | −1.94026 | −0.970132 | − | 0.242576i | \(-0.922008\pi\) | ||||
−0.970132 | + | 0.242576i | \(0.922008\pi\) | |||||||
\(38\) | −0.840841 | + | 6.88255i | −0.136402 | + | 1.11650i | ||||
\(39\) | 1.38791 | + | 3.72043i | 0.222244 | + | 0.595746i | ||||
\(40\) | −7.50166 | − | 9.22945i | −1.18612 | − | 1.45930i | ||||
\(41\) | −2.39482 | − | 1.38265i | −0.374008 | − | 0.215934i | 0.301200 | − | 0.953561i | \(-0.402613\pi\) |
−0.675208 | + | 0.737627i | \(0.735946\pi\) | |||||||
\(42\) | 0.695988 | − | 2.34853i | 0.107393 | − | 0.362386i | ||||
\(43\) | 0.416255 | − | 0.240325i | 0.0634783 | − | 0.0366492i | −0.467925 | − | 0.883768i | \(-0.654998\pi\) |
0.531403 | + | 0.847119i | \(0.321665\pi\) | |||||||
\(44\) | 1.23330 | + | 4.28147i | 0.185928 | + | 0.645456i | ||||
\(45\) | 4.12451 | − | 11.9218i | 0.614845 | − | 1.77719i | ||||
\(46\) | 4.62234 | − | 6.14179i | 0.681527 | − | 0.905557i | ||||
\(47\) | −1.47406 | − | 2.55314i | −0.215014 | − | 0.372414i | 0.738263 | − | 0.674513i | \(-0.235646\pi\) |
−0.953277 | + | 0.302098i | \(0.902313\pi\) | |||||||
\(48\) | −6.39633 | + | 2.66213i | −0.923231 | + | 0.384245i | ||||
\(49\) | 0.500000 | − | 0.866025i | 0.0714286 | − | 0.123718i | ||||
\(50\) | −7.01789 | − | 16.5053i | −0.992480 | − | 2.33421i | ||||
\(51\) | −4.99790 | − | 4.12609i | −0.699845 | − | 0.577768i | ||||
\(52\) | 3.18114 | − | 3.30216i | 0.441144 | − | 0.457927i | ||||
\(53\) | − | 4.61318i | − | 0.633670i | −0.948481 | − | 0.316835i | \(-0.897380\pi\) | ||
0.948481 | − | 0.316835i | \(-0.102620\pi\) | |||||||
\(54\) | −5.97572 | − | 4.27678i | −0.813192 | − | 0.581996i | ||||
\(55\) | 9.36786i | 1.26316i | ||||||||
\(56\) | −2.79280 | + | 0.447537i | −0.373203 | + | 0.0598046i | ||||
\(57\) | 6.54871 | + | 5.40639i | 0.867398 | + | 0.716094i | ||||
\(58\) | −1.48104 | + | 0.629721i | −0.194469 | + | 0.0826864i | ||||
\(59\) | 1.12516 | − | 1.94884i | 0.146484 | − | 0.253718i | −0.783442 | − | 0.621465i | \(-0.786538\pi\) |
0.929926 | + | 0.367748i | \(0.119871\pi\) | |||||||
\(60\) | −14.4722 | + | 1.65593i | −1.86835 | + | 0.213779i | ||||
\(61\) | −2.35467 | − | 4.07841i | −0.301485 | − | 0.522187i | 0.674988 | − | 0.737829i | \(-0.264149\pi\) |
−0.976472 | + | 0.215642i | \(0.930815\pi\) | |||||||
\(62\) | −1.89196 | − | 1.42390i | −0.240279 | − | 0.180835i | ||||
\(63\) | −1.96486 | − | 2.26701i | −0.247549 | − | 0.285616i | ||||
\(64\) | 5.96457 | + | 5.33141i | 0.745571 | + | 0.666427i | ||||
\(65\) | 8.34882 | − | 4.82020i | 1.03554 | − | 0.597872i | ||||
\(66\) | 5.23201 | + | 1.55051i | 0.644016 | + | 0.190854i | ||||
\(67\) | 11.4941 | + | 6.63610i | 1.40422 | + | 0.810729i | 0.994823 | − | 0.101626i | \(-0.0324045\pi\) |
0.409401 | + | 0.912355i | \(0.365738\pi\) | |||||||
\(68\) | −1.80166 | + | 7.26353i | −0.218483 | + | 0.880832i | ||||
\(69\) | −3.29055 | − | 8.82064i | −0.396136 | − | 1.06188i | ||||
\(70\) | −5.90291 | − | 0.721159i | −0.705533 | − | 0.0861949i | ||||
\(71\) | 1.00681 | 0.119486 | 0.0597431 | − | 0.998214i | \(-0.480972\pi\) | ||||
0.0597431 | + | 0.998214i | \(0.480972\pi\) | |||||||
\(72\) | −1.47050 | + | 8.35689i | −0.173300 | + | 0.984869i | ||||
\(73\) | −5.14489 | −0.602163 | −0.301082 | − | 0.953598i | \(-0.597348\pi\) | ||||
−0.301082 | + | 0.953598i | \(0.597348\pi\) | |||||||
\(74\) | 16.5676 | + | 2.02407i | 1.92595 | + | 0.235293i | ||||
\(75\) | −21.6623 | − | 3.64132i | −2.50135 | − | 0.420463i | ||||
\(76\) | 2.36070 | − | 9.51735i | 0.270791 | − | 1.09172i | ||||
\(77\) | 1.92931 | + | 1.11389i | 0.219866 | + | 0.126940i | ||||
\(78\) | −1.31027 | − | 5.46068i | −0.148358 | − | 0.618300i | ||||
\(79\) | 11.6396 | − | 6.72012i | 1.30956 | − | 0.756073i | 0.327535 | − | 0.944839i | \(-0.393782\pi\) |
0.982022 | + | 0.188766i | \(0.0604489\pi\) | |||||||
\(80\) | 8.94781 | + | 14.2426i | 1.00040 | + | 1.59237i | ||||
\(81\) | −8.35448 | + | 3.34703i | −0.928276 | + | 0.371893i | ||||
\(82\) | 3.12467 | + | 2.35164i | 0.345062 | + | 0.259695i | ||||
\(83\) | −6.65730 | − | 11.5308i | −0.730734 | − | 1.26567i | −0.956570 | − | 0.291503i | \(-0.905845\pi\) |
0.225836 | − | 0.974165i | \(-0.427489\pi\) | |||||||
\(84\) | −1.37978 | + | 3.17745i | −0.150547 | + | 0.346688i | ||||
\(85\) | −7.86721 | + | 13.6264i | −0.853319 | + | 1.47799i | ||||
\(86\) | −0.625544 | + | 0.265975i | −0.0674542 | + | 0.0286808i | ||||
\(87\) | −0.326738 | + | 1.94378i | −0.0350300 | + | 0.208395i | ||||
\(88\) | −0.997014 | − | 6.22174i | −0.106282 | − | 0.663239i | ||||
\(89\) | − | 12.3797i | − | 1.31225i | −0.754652 | − | 0.656125i | \(-0.772194\pi\) | ||
0.754652 | − | 0.656125i | \(-0.227806\pi\) | |||||||
\(90\) | −7.83446 | + | 16.0281i | −0.825824 | + | 1.68951i | ||||
\(91\) | − | 2.29259i | − | 0.240329i | ||||||
\(92\) | −7.54205 | + | 7.82897i | −0.786313 | + | 0.816226i | ||||
\(93\) | −2.71717 | + | 1.01364i | −0.281757 | + | 0.105110i | ||||
\(94\) | 1.63139 | + | 3.83684i | 0.168265 | + | 0.395740i | ||||
\(95\) | 10.3084 | − | 17.8546i | 1.05762 | − | 1.83184i | ||||
\(96\) | 9.43558 | − | 2.64006i | 0.963014 | − | 0.269450i | ||||
\(97\) | 2.52467 | + | 4.37286i | 0.256342 | + | 0.443997i | 0.965259 | − | 0.261295i | \(-0.0841495\pi\) |
−0.708917 | + | 0.705291i | \(0.750816\pi\) | |||||||
\(98\) | −0.850411 | + | 1.12996i | −0.0859045 | + | 0.114143i | ||||
\(99\) | 5.05039 | − | 4.37728i | 0.507583 | − | 0.439933i | ||||
\(100\) | 7.02090 | + | 24.3734i | 0.702090 | + | 2.43734i | ||||
\(101\) | 5.74352 | − | 3.31603i | 0.571502 | − | 0.329957i | −0.186247 | − | 0.982503i | \(-0.559632\pi\) |
0.757749 | + | 0.652546i | \(0.226299\pi\) | |||||||
\(102\) | 6.30831 | + | 6.64924i | 0.624615 | + | 0.658373i | ||||
\(103\) | 3.08323 | + | 1.78010i | 0.303799 | + | 0.175399i | 0.644148 | − | 0.764901i | \(-0.277212\pi\) |
−0.340349 | + | 0.940299i | \(0.610545\pi\) | |||||||
\(104\) | −5.03192 | + | 4.08993i | −0.493421 | + | 0.401050i | ||||
\(105\) | −4.63686 | + | 5.61659i | −0.452512 | + | 0.548123i | ||||
\(106\) | −0.791158 | + | 6.47588i | −0.0768441 | + | 0.628993i | ||||
\(107\) | −5.03423 | −0.486678 | −0.243339 | − | 0.969941i | \(-0.578243\pi\) | ||||
−0.243339 | + | 0.969941i | \(0.578243\pi\) | |||||||
\(108\) | 7.65510 | + | 7.02847i | 0.736613 | + | 0.676315i | ||||
\(109\) | 4.77634 | 0.457491 | 0.228745 | − | 0.973486i | \(-0.426538\pi\) | ||||
0.228745 | + | 0.973486i | \(0.426538\pi\) | |||||||
\(110\) | 1.60658 | − | 13.1504i | 0.153182 | − | 1.25384i | ||||
\(111\) | 13.0142 | − | 15.7640i | 1.23525 | − | 1.49625i | ||||
\(112\) | 3.99721 | − | 0.149279i | 0.377701 | − | 0.0141055i | ||||
\(113\) | −4.55672 | − | 2.63082i | −0.428660 | − | 0.247487i | 0.270116 | − | 0.962828i | \(-0.412938\pi\) |
−0.698776 | + | 0.715341i | \(0.746271\pi\) | |||||||
\(114\) | −8.26573 | − | 8.71246i | −0.774157 | − | 0.815997i | ||||
\(115\) | −19.7939 | + | 11.4280i | −1.84579 | + | 1.06567i | ||||
\(116\) | 2.18704 | − | 0.629991i | 0.203062 | − | 0.0584932i | ||||
\(117\) | −6.49978 | − | 2.24869i | −0.600905 | − | 0.207892i | ||||
\(118\) | −1.91370 | + | 2.54277i | −0.176171 | + | 0.234081i | ||||
\(119\) | 1.87091 | + | 3.24051i | 0.171506 | + | 0.297057i | ||||
\(120\) | 20.5997 | + | 0.157419i | 1.88049 | + | 0.0143703i | ||||
\(121\) | 3.01850 | − | 5.22819i | 0.274409 | − | 0.475290i | ||||
\(122\) | 2.60599 | + | 6.12900i | 0.235935 | + | 0.554893i | ||||
\(123\) | 4.48755 | − | 1.67409i | 0.404629 | − | 0.150947i | ||||
\(124\) | 2.41169 | + | 2.32330i | 0.216576 | + | 0.208639i | ||||
\(125\) | 32.3038i | 2.88934i | ||||||||
\(126\) | 2.36944 | + | 3.51934i | 0.211086 | + | 0.313528i | ||||
\(127\) | − | 8.20958i | − | 0.728482i | −0.931305 | − | 0.364241i | \(-0.881328\pi\) | ||
0.931305 | − | 0.364241i | \(-0.118672\pi\) | |||||||
\(128\) | −7.45858 | − | 8.50703i | −0.659252 | − | 0.751922i | ||||
\(129\) | −0.138004 | + | 0.820992i | −0.0121506 | + | 0.0722843i | ||||
\(130\) | −12.5465 | + | 5.33466i | −1.10040 | + | 0.467880i | ||||
\(131\) | −0.563287 | + | 0.975641i | −0.0492146 | + | 0.0852422i | −0.889583 | − | 0.456773i | \(-0.849005\pi\) |
0.840369 | + | 0.542015i | \(0.182338\pi\) | |||||||
\(132\) | −7.07866 | − | 3.07385i | −0.616119 | − | 0.267545i | ||||
\(133\) | −2.45144 | − | 4.24602i | −0.212567 | − | 0.368176i | ||||
\(134\) | −14.9970 | − | 11.2868i | −1.29554 | − | 0.975033i | ||||
\(135\) | 11.3757 | + | 18.6551i | 0.979060 | + | 1.60558i | ||||
\(136\) | 3.77482 | − | 9.88738i | 0.323688 | − | 0.847836i | ||||
\(137\) | −3.55214 | + | 2.05083i | −0.303480 | + | 0.175214i | −0.644005 | − | 0.765021i | \(-0.722729\pi\) |
0.340525 | + | 0.940235i | \(0.389395\pi\) | |||||||
\(138\) | 3.10646 | + | 12.9465i | 0.264440 | + | 1.10208i | ||||
\(139\) | −4.91308 | − | 2.83657i | −0.416722 | − | 0.240595i | 0.276952 | − | 0.960884i | \(-0.410676\pi\) |
−0.693674 | + | 0.720289i | \(0.744009\pi\) | |||||||
\(140\) | 8.16269 | + | 2.02469i | 0.689873 | + | 0.171118i | ||||
\(141\) | 5.03564 | + | 0.846464i | 0.424078 | + | 0.0712851i | ||||
\(142\) | −1.41333 | − | 0.172667i | −0.118604 | − | 0.0144899i | ||||
\(143\) | 5.10739 | 0.427101 | ||||||||
\(144\) | 3.49745 | − | 11.4790i | 0.291454 | − | 0.956585i | ||||
\(145\) | 4.78525 | 0.397393 | ||||||||
\(146\) | 7.22227 | + | 0.882345i | 0.597719 | + | 0.0730234i | ||||
\(147\) | 0.605390 | + | 1.62281i | 0.0499317 | + | 0.133847i | ||||
\(148\) | −22.9101 | − | 5.68267i | −1.88320 | − | 0.467113i | ||||
\(149\) | 13.9530 | + | 8.05575i | 1.14307 | + | 0.659953i | 0.947189 | − | 0.320675i | \(-0.103910\pi\) |
0.195882 | + | 0.980627i | \(0.437243\pi\) | |||||||
\(150\) | 29.7846 | + | 8.82667i | 2.43190 | + | 0.720694i | ||||
\(151\) | −11.1164 | + | 6.41803i | −0.904637 | + | 0.522292i | −0.878702 | − | 0.477371i | \(-0.841590\pi\) |
−0.0259350 | + | 0.999664i | \(0.508256\pi\) | |||||||
\(152\) | −4.94612 | + | 12.9554i | −0.401183 | + | 1.05082i | ||||
\(153\) | 11.0223 | − | 2.12580i | 0.891103 | − | 0.171860i | ||||
\(154\) | −2.51729 | − | 1.89453i | −0.202849 | − | 0.152665i | ||||
\(155\) | 3.52037 | + | 6.09746i | 0.282763 | + | 0.489760i | ||||
\(156\) | 0.902817 | + | 7.89028i | 0.0722832 | + | 0.631728i | ||||
\(157\) | 7.29242 | − | 12.6308i | 0.581999 | − | 1.00805i | −0.413244 | − | 0.910620i | \(-0.635604\pi\) |
0.995242 | − | 0.0974306i | \(-0.0310624\pi\) | |||||||
\(158\) | −17.4919 | + | 7.43737i | −1.39158 | + | 0.591685i | ||||
\(159\) | 6.16177 | + | 5.08694i | 0.488660 | + | 0.403421i | ||||
\(160\) | −10.1181 | − | 21.5280i | −0.799908 | − | 1.70194i | ||||
\(161\) | 5.43542i | 0.428371i | ||||||||
\(162\) | 12.3018 | − | 3.26570i | 0.966524 | − | 0.256577i | ||||
\(163\) | − | 14.4179i | − | 1.12930i | −0.825330 | − | 0.564650i | \(-0.809011\pi\) | ||
0.825330 | − | 0.564650i | \(-0.190989\pi\) | |||||||
\(164\) | −3.98303 | − | 3.83706i | −0.311022 | − | 0.299624i | ||||
\(165\) | −12.5125 | − | 10.3299i | −0.974099 | − | 0.804183i | ||||
\(166\) | 7.36784 | + | 17.3284i | 0.571855 | + | 1.34494i | ||||
\(167\) | 0.239831 | − | 0.415400i | 0.0185587 | − | 0.0321446i | −0.856597 | − | 0.515986i | \(-0.827426\pi\) |
0.875156 | + | 0.483842i | \(0.160759\pi\) | |||||||
\(168\) | 2.48184 | − | 4.22380i | 0.191478 | − | 0.325873i | ||||
\(169\) | 3.87202 | + | 6.70653i | 0.297847 | + | 0.515887i | ||||
\(170\) | 13.3807 | − | 17.7792i | 1.02625 | − | 1.36360i | ||||
\(171\) | −14.4425 | + | 2.78542i | −1.10444 | + | 0.213006i | ||||
\(172\) | 0.923739 | − | 0.266089i | 0.0704344 | − | 0.0202891i | ||||
\(173\) | 9.61948 | − | 5.55381i | 0.731356 | − | 0.422248i | −0.0875622 | − | 0.996159i | \(-0.527908\pi\) |
0.818918 | + | 0.573911i | \(0.194574\pi\) | |||||||
\(174\) | 0.792024 | − | 2.67259i | 0.0600432 | − | 0.202609i | ||||
\(175\) | 10.9831 | + | 6.34110i | 0.830245 | + | 0.479342i | ||||
\(176\) | 0.332561 | + | 8.90491i | 0.0250677 | + | 0.671233i | ||||
\(177\) | 1.36233 | + | 3.65185i | 0.102399 | + | 0.274490i | ||||
\(178\) | −2.12312 | + | 17.3784i | −0.159134 | + | 1.30256i | ||||
\(179\) | −18.9784 | −1.41851 | −0.709257 | − | 0.704950i | \(-0.750969\pi\) | ||||
−0.709257 | + | 0.704950i | \(0.750969\pi\) | |||||||
\(180\) | 13.7466 | − | 21.1563i | 1.02461 | − | 1.57690i | ||||
\(181\) | −12.0972 | −0.899177 | −0.449588 | − | 0.893236i | \(-0.648429\pi\) | ||||
−0.449588 | + | 0.893236i | \(0.648429\pi\) | |||||||
\(182\) | −0.393178 | + | 3.21828i | −0.0291443 | + | 0.238555i | ||||
\(183\) | 8.04396 | + | 1.35215i | 0.594627 | + | 0.0999535i | ||||
\(184\) | 11.9300 | − | 9.69666i | 0.879492 | − | 0.714848i | ||||
\(185\) | −42.9794 | − | 24.8142i | −3.15991 | − | 1.82438i | ||||
\(186\) | 3.98814 | − | 0.956936i | 0.292424 | − | 0.0701660i | ||||
\(187\) | −7.21914 | + | 4.16797i | −0.527916 | + | 0.304792i | ||||
\(188\) | −1.63208 | − | 5.66585i | −0.119032 | − | 0.413225i | ||||
\(189\) | 5.19466 | − | 0.124622i | 0.377856 | − | 0.00906492i | ||||
\(190\) | −17.5327 | + | 23.2960i | −1.27195 | + | 1.69007i | ||||
\(191\) | 2.09590 | + | 3.63021i | 0.151654 | + | 0.262672i | 0.931836 | − | 0.362881i | \(-0.118207\pi\) |
−0.780182 | + | 0.625553i | \(0.784873\pi\) | |||||||
\(192\) | −13.6982 | + | 2.08786i | −0.988583 | + | 0.150678i | ||||
\(193\) | −6.58318 | + | 11.4024i | −0.473867 | + | 0.820762i | −0.999552 | − | 0.0299170i | \(-0.990476\pi\) |
0.525685 | + | 0.850679i | \(0.323809\pi\) | |||||||
\(194\) | −2.79413 | − | 6.57150i | −0.200607 | − | 0.471806i | ||||
\(195\) | −2.76795 | + | 16.4666i | −0.198217 | + | 1.17920i | ||||
\(196\) | 1.38757 | − | 1.44036i | 0.0991124 | − | 0.102883i | ||||
\(197\) | 7.04171i | 0.501701i | 0.968026 | + | 0.250851i | \(0.0807103\pi\) | ||||
−0.968026 | + | 0.250851i | \(0.919290\pi\) | |||||||
\(198\) | −7.84032 | + | 5.27859i | −0.557187 | + | 0.375133i | ||||
\(199\) | 2.66860i | 0.189172i | 0.995517 | + | 0.0945859i | \(0.0301527\pi\) | ||||
−0.995517 | + | 0.0945859i | \(0.969847\pi\) | |||||||
\(200\) | −5.67576 | − | 35.4188i | −0.401337 | − | 2.50449i | ||||
\(201\) | −21.5382 | + | 8.03486i | −1.51919 | + | 0.566735i | ||||
\(202\) | −8.63132 | + | 3.66995i | −0.607298 | + | 0.258217i | ||||
\(203\) | 0.568992 | − | 0.985523i | 0.0399354 | − | 0.0691702i | ||||
\(204\) | −7.71511 | − | 10.4159i | −0.540166 | − | 0.729260i | ||||
\(205\) | −5.81407 | − | 10.0703i | −0.406072 | − | 0.703338i | ||||
\(206\) | −4.02287 | − | 3.02764i | −0.280287 | − | 0.210945i | ||||
\(207\) | 15.4101 | + | 5.33135i | 1.07108 | + | 0.370554i | ||||
\(208\) | 7.76511 | − | 4.87837i | 0.538414 | − | 0.338254i | ||||
\(209\) | 9.45919 | − | 5.46127i | 0.654306 | − | 0.377764i | ||||
\(210\) | 7.47236 | − | 7.08922i | 0.515642 | − | 0.489203i | ||||
\(211\) | −2.44886 | − | 1.41385i | −0.168587 | − | 0.0973335i | 0.413333 | − | 0.910580i | \(-0.364365\pi\) |
−0.581919 | + | 0.813247i | \(0.697698\pi\) | |||||||
\(212\) | 2.22122 | − | 8.95500i | 0.152554 | − | 0.615032i | ||||
\(213\) | −1.11021 | + | 1.34478i | −0.0760700 | + | 0.0921429i | ||||
\(214\) | 7.06694 | + | 0.863368i | 0.483086 | + | 0.0590186i | ||||
\(215\) | 2.02114 | 0.137841 | ||||||||
\(216\) | −9.54068 | − | 11.1792i | −0.649161 | − | 0.760651i | ||||
\(217\) | 1.67436 | 0.113663 | ||||||||
\(218\) | −6.70492 | − | 0.819140i | −0.454114 | − | 0.0554791i | ||||
\(219\) | 5.67325 | − | 6.87196i | 0.383363 | − | 0.464364i | ||||
\(220\) | −4.51057 | + | 18.1847i | −0.304102 | + | 1.22601i | ||||
\(221\) | 7.42916 | + | 4.28923i | 0.499739 | + | 0.288525i | ||||
\(222\) | −20.9726 | + | 19.8972i | −1.40759 | + | 1.33541i | ||||
\(223\) | 5.39092 | − | 3.11245i | 0.361003 | − | 0.208425i | −0.308518 | − | 0.951219i | \(-0.599833\pi\) |
0.669521 | + | 0.742794i | \(0.266500\pi\) | |||||||
\(224\) | −5.63679 | − | 0.475965i | −0.376624 | − | 0.0318018i | ||||
\(225\) | 28.7506 | − | 24.9188i | 1.91671 | − | 1.66125i | ||||
\(226\) | 5.94543 | + | 4.47456i | 0.395484 | + | 0.297643i | ||||
\(227\) | −11.2546 | − | 19.4936i | −0.746995 | − | 1.29383i | −0.949257 | − | 0.314501i | \(-0.898163\pi\) |
0.202262 | − | 0.979331i | \(-0.435171\pi\) | |||||||
\(228\) | 10.1091 | + | 13.6479i | 0.669489 | + | 0.903855i | ||||
\(229\) | 10.3710 | − | 17.9631i | 0.685334 | − | 1.18703i | −0.287997 | − | 0.957631i | \(-0.592989\pi\) |
0.973332 | − | 0.229403i | \(-0.0736773\pi\) | |||||||
\(230\) | 29.7462 | − | 12.6478i | 1.96140 | − | 0.833968i | ||||
\(231\) | −3.61526 | + | 1.34868i | −0.237866 | + | 0.0887364i | ||||
\(232\) | −3.17816 | + | 0.509290i | −0.208656 | + | 0.0334365i | ||||
\(233\) | 4.33562i | 0.284036i | 0.989864 | + | 0.142018i | \(0.0453591\pi\) | ||||
−0.989864 | + | 0.142018i | \(0.954641\pi\) | |||||||
\(234\) | 8.73858 | + | 4.27137i | 0.571259 | + | 0.279228i | ||||
\(235\) | − | 12.3969i | − | 0.808685i | ||||||
\(236\) | 3.12250 | − | 3.24129i | 0.203257 | − | 0.210990i | ||||
\(237\) | −3.85897 | + | 22.9571i | −0.250667 | + | 1.49122i | ||||
\(238\) | −2.07059 | − | 4.86981i | −0.134217 | − | 0.315663i | ||||
\(239\) | 3.20026 | − | 5.54301i | 0.207008 | − | 0.358548i | −0.743763 | − | 0.668444i | \(-0.766961\pi\) |
0.950771 | + | 0.309896i | \(0.100294\pi\) | |||||||
\(240\) | −28.8904 | − | 3.75382i | −1.86487 | − | 0.242308i | ||||
\(241\) | 3.59496 | + | 6.22666i | 0.231572 | + | 0.401094i | 0.958271 | − | 0.285862i | \(-0.0922798\pi\) |
−0.726699 | + | 0.686956i | \(0.758946\pi\) | |||||||
\(242\) | −5.13393 | + | 6.82154i | −0.330021 | + | 0.438505i | ||||
\(243\) | 4.74187 | − | 14.8497i | 0.304191 | − | 0.952611i | ||||
\(244\) | −2.60710 | − | 9.05066i | −0.166903 | − | 0.579409i | ||||
\(245\) | 3.64166 | − | 2.10251i | 0.232657 | − | 0.134324i | ||||
\(246\) | −6.58662 | + | 1.58043i | −0.419947 | + | 0.100765i | ||||
\(247\) | −9.73438 | − | 5.62015i | −0.619384 | − | 0.357601i | ||||
\(248\) | −2.98703 | − | 3.67500i | −0.189676 | − | 0.233363i | ||||
\(249\) | 22.7425 | + | 3.82289i | 1.44125 | + | 0.242266i | ||||
\(250\) | 5.54009 | − | 45.3474i | 0.350386 | − | 2.86802i | ||||
\(251\) | −19.1515 | −1.20883 | −0.604416 | − | 0.796669i | \(-0.706594\pi\) | ||||
−0.604416 | + | 0.796669i | \(0.706594\pi\) | |||||||
\(252\) | −2.72260 | − | 5.34672i | −0.171507 | − | 0.336812i | ||||
\(253\) | −12.1089 | −0.761282 | ||||||||
\(254\) | −1.40794 | + | 11.5244i | −0.0883419 | + | 0.723106i | ||||
\(255\) | −9.52547 | − | 25.5339i | −0.596508 | − | 1.59900i | ||||
\(256\) | 9.01123 | + | 13.2211i | 0.563202 | + | 0.826319i | ||||
\(257\) | 9.23895 | + | 5.33411i | 0.576310 | + | 0.332733i | 0.759666 | − | 0.650314i | \(-0.225363\pi\) |
−0.183356 | + | 0.983047i | \(0.558696\pi\) | |||||||
\(258\) | 0.334527 | − | 1.12882i | 0.0208267 | − | 0.0702773i | ||||
\(259\) | −10.2210 | + | 5.90109i | −0.635101 | + | 0.366676i | ||||
\(260\) | 18.5274 | − | 5.33694i | 1.14902 | − | 0.330983i | ||||
\(261\) | −2.23598 | − | 2.57982i | −0.138404 | − | 0.159687i | ||||
\(262\) | 0.958051 | − | 1.27298i | 0.0591886 | − | 0.0786449i | ||||
\(263\) | 11.3306 | + | 19.6253i | 0.698678 | + | 1.21015i | 0.968925 | + | 0.247354i | \(0.0795612\pi\) |
−0.270247 | + | 0.962791i | \(0.587105\pi\) | |||||||
\(264\) | 9.40969 | + | 5.52899i | 0.579127 | + | 0.340286i | ||||
\(265\) | 9.69927 | − | 16.7996i | 0.595821 | − | 1.03199i | ||||
\(266\) | 2.71308 | + | 6.38088i | 0.166350 | + | 0.391237i | ||||
\(267\) | 16.5355 | + | 13.6511i | 1.01195 | + | 0.835434i | ||||
\(268\) | 19.1168 | + | 18.4162i | 1.16774 | + | 1.12495i | ||||
\(269\) | − | 25.6002i | − | 1.56087i | −0.625235 | − | 0.780436i | \(-0.714997\pi\) | ||
0.625235 | − | 0.780436i | \(-0.285003\pi\) | |||||||
\(270\) | −12.7695 | − | 28.1386i | −0.777129 | − | 1.71246i | ||||
\(271\) | 30.6496i | 1.86183i | 0.365237 | + | 0.930914i | \(0.380988\pi\) | ||||
−0.365237 | + | 0.930914i | \(0.619012\pi\) | |||||||
\(272\) | −6.99468 | + | 13.2323i | −0.424115 | + | 0.802326i | ||||
\(273\) | 3.06218 | + | 2.52803i | 0.185332 | + | 0.153003i | ||||
\(274\) | 5.33813 | − | 2.26972i | 0.322488 | − | 0.137119i | ||||
\(275\) | −14.1266 | + | 24.4680i | −0.851865 | + | 1.47547i | ||||
\(276\) | −2.14046 | − | 18.7068i | −0.128840 | − | 1.12602i | ||||
\(277\) | 3.60137 | + | 6.23775i | 0.216385 | + | 0.374790i | 0.953700 | − | 0.300759i | \(-0.0972400\pi\) |
−0.737315 | + | 0.675549i | \(0.763907\pi\) | |||||||
\(278\) | 6.41040 | + | 4.82450i | 0.384470 | + | 0.289354i | ||||
\(279\) | 1.64230 | − | 4.74703i | 0.0983222 | − | 0.284197i | ||||
\(280\) | −11.1114 | − | 4.24211i | −0.664030 | − | 0.253514i | ||||
\(281\) | −19.5163 | + | 11.2677i | −1.16424 | + | 0.672176i | −0.952317 | − | 0.305110i | \(-0.901307\pi\) |
−0.211926 | + | 0.977286i | \(0.567973\pi\) | |||||||
\(282\) | −6.92375 | − | 2.05186i | −0.412303 | − | 0.122186i | ||||
\(283\) | 16.5283 | + | 9.54263i | 0.982507 | + | 0.567251i | 0.903026 | − | 0.429586i | \(-0.141340\pi\) |
0.0794809 | + | 0.996836i | \(0.474674\pi\) | |||||||
\(284\) | 1.95439 | + | 0.484772i | 0.115972 | + | 0.0287659i | ||||
\(285\) | 12.4812 | + | 33.4569i | 0.739320 | + | 1.98182i | ||||
\(286\) | −7.16963 | − | 0.875914i | −0.423949 | − | 0.0517939i | ||||
\(287\) | −2.76530 | −0.163230 | ||||||||
\(288\) | −6.87829 | + | 15.5142i | −0.405307 | + | 0.914181i | ||||
\(289\) | 2.99880 | 0.176400 | ||||||||
\(290\) | −6.71742 | − | 0.820667i | −0.394460 | − | 0.0481912i | ||||
\(291\) | −8.62472 | − | 1.44977i | −0.505590 | − | 0.0849869i | ||||
\(292\) | −9.98713 | − | 2.47723i | −0.584453 | − | 0.144969i | ||||
\(293\) | 5.97263 | + | 3.44830i | 0.348925 | + | 0.201452i | 0.664212 | − | 0.747545i | \(-0.268767\pi\) |
−0.315287 | + | 0.948996i | \(0.602101\pi\) | |||||||
\(294\) | −0.571522 | − | 2.38188i | −0.0333318 | − | 0.138914i | ||||
\(295\) | 8.19493 | − | 4.73134i | 0.477127 | − | 0.275469i | ||||
\(296\) | 31.1861 | + | 11.9063i | 1.81265 | + | 0.692037i | ||||
\(297\) | 0.277630 | + | 11.5726i | 0.0161098 | + | 0.671508i | ||||
\(298\) | −18.2053 | − | 13.7014i | −1.05460 | − | 0.793700i | ||||
\(299\) | 6.23060 | + | 10.7917i | 0.360325 | + | 0.624101i | ||||
\(300\) | −40.2971 | − | 17.4987i | −2.32655 | − | 1.01029i | ||||
\(301\) | 0.240325 | − | 0.416255i | 0.0138521 | − | 0.0239925i | ||||
\(302\) | 16.7056 | − | 7.10303i | 0.961298 | − | 0.408734i | ||||
\(303\) | −1.90420 | + | 11.3281i | −0.109393 | + | 0.650784i | ||||
\(304\) | 9.16509 | − | 17.3382i | 0.525654 | − | 0.994413i | ||||
\(305\) | − | 19.8029i | − | 1.13391i | ||||||
\(306\) | −15.8375 | + | 1.09382i | −0.905367 | + | 0.0625295i | ||||
\(307\) | − | 23.7896i | − | 1.35775i | −0.734255 | − | 0.678873i | \(-0.762468\pi\) | ||
0.734255 | − | 0.678873i | \(-0.237532\pi\) | |||||||
\(308\) | 3.20881 | + | 3.09121i | 0.182839 | + | 0.176138i | ||||
\(309\) | −5.77752 | + | 2.15531i | −0.328672 | + | 0.122611i | ||||
\(310\) | −3.89610 | − | 9.16321i | −0.221284 | − | 0.520435i | ||||
\(311\) | −10.2030 | + | 17.6722i | −0.578562 | + | 1.00210i | 0.417083 | + | 0.908868i | \(0.363053\pi\) |
−0.995645 | + | 0.0932300i | \(0.970281\pi\) | |||||||
\(312\) | 0.0858251 | − | 11.2310i | 0.00485889 | − | 0.635831i | ||||
\(313\) | −0.690627 | − | 1.19620i | −0.0390365 | − | 0.0676133i | 0.845847 | − | 0.533426i | \(-0.179096\pi\) |
−0.884884 | + | 0.465812i | \(0.845762\pi\) | |||||||
\(314\) | −12.4031 | + | 16.4802i | −0.699948 | + | 0.930033i | ||||
\(315\) | −2.38895 | − | 12.3868i | −0.134602 | − | 0.697917i | ||||
\(316\) | 25.8302 | − | 7.44055i | 1.45306 | − | 0.418564i | ||||
\(317\) | −19.0330 | + | 10.9887i | −1.06900 | + | 0.617188i | −0.927908 | − | 0.372808i | \(-0.878395\pi\) |
−0.141093 | + | 0.989996i | \(0.545062\pi\) | |||||||
\(318\) | −7.77734 | − | 8.19767i | −0.436131 | − | 0.459703i | ||||
\(319\) | 2.19553 | + | 1.26759i | 0.122926 | + | 0.0709714i | ||||
\(320\) | 10.5115 | + | 31.9557i | 0.587613 | + | 1.78638i | ||||
\(321\) | 5.55123 | − | 6.72416i | 0.309840 | − | 0.375306i | ||||
\(322\) | 0.932171 | − | 7.63012i | 0.0519479 | − | 0.425210i | ||||
\(323\) | 18.3457 | 1.02078 | ||||||||
\(324\) | −17.8291 | + | 2.47455i | −0.990505 | + | 0.137475i | ||||
\(325\) | 29.0751 | 1.61280 | ||||||||
\(326\) | −2.47267 | + | 20.2396i | −0.136948 | + | 1.12097i | ||||
\(327\) | −5.26686 | + | 6.37970i | −0.291258 | + | 0.352798i | ||||
\(328\) | 4.93323 | + | 6.06946i | 0.272392 | + | 0.335130i | ||||
\(329\) | −2.55314 | − | 1.47406i | −0.140759 | − | 0.0812675i | ||||
\(330\) | 15.7932 | + | 16.6468i | 0.869388 | + | 0.916375i | ||||
\(331\) | −29.4795 | + | 17.0200i | −1.62034 | + | 0.935504i | −0.633511 | + | 0.773733i | \(0.718387\pi\) |
−0.986828 | + | 0.161770i | \(0.948280\pi\) | |||||||
\(332\) | −7.37100 | − | 25.5887i | −0.404536 | − | 1.40436i | ||||
\(333\) | 6.70503 | + | 34.7658i | 0.367434 | + | 1.90516i | ||||
\(334\) | −0.407910 | + | 0.541997i | −0.0223198 | + | 0.0296568i | ||||
\(335\) | 27.9049 | + | 48.3328i | 1.52461 | + | 2.64070i | ||||
\(336\) | −4.20833 | + | 5.50364i | −0.229583 | + | 0.300248i | ||||
\(337\) | −4.98567 | + | 8.63543i | −0.271587 | + | 0.470402i | −0.969268 | − | 0.246006i | \(-0.920882\pi\) |
0.697682 | + | 0.716408i | \(0.254215\pi\) | |||||||
\(338\) | −4.28528 | − | 10.0785i | −0.233088 | − | 0.548199i | ||||
\(339\) | 8.53864 | − | 3.18535i | 0.463755 | − | 0.173004i | ||||
\(340\) | −21.8327 | + | 22.6632i | −1.18404 | + | 1.22909i | ||||
\(341\) | 3.73012i | 0.201997i | ||||||||
\(342\) | 20.7517 | − | 1.43323i | 1.12212 | − | 0.0775000i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | −1.34236 | + | 0.215109i | −0.0723750 | + | 0.0115979i | ||||
\(345\) | 6.56244 | − | 39.0402i | 0.353310 | − | 2.10185i | ||||
\(346\) | −14.4561 | + | 6.14657i | −0.777164 | + | 0.330442i | ||||
\(347\) | 9.75697 | − | 16.8996i | 0.523782 | − | 0.907217i | −0.475835 | − | 0.879535i | \(-0.657854\pi\) |
0.999617 | − | 0.0276820i | \(-0.00881258\pi\) | |||||||
\(348\) | −1.57017 | + | 3.61589i | −0.0841700 | + | 0.193832i | ||||
\(349\) | −7.72518 | − | 13.3804i | −0.413520 | − | 0.716237i | 0.581752 | − | 0.813366i | \(-0.302367\pi\) |
−0.995272 | + | 0.0971292i | \(0.969034\pi\) | |||||||
\(350\) | −14.3303 | − | 10.7851i | −0.765989 | − | 0.576487i | ||||
\(351\) | 10.1708 | − | 6.20204i | 0.542879 | − | 0.331040i | ||||
\(352\) | 1.06035 | − | 12.5575i | 0.0565166 | − | 0.669319i | ||||
\(353\) | 1.20451 | − | 0.695424i | 0.0641096 | − | 0.0370137i | −0.467603 | − | 0.883939i | \(-0.654882\pi\) |
0.531712 | + | 0.846925i | \(0.321549\pi\) | |||||||
\(354\) | −1.28611 | − | 5.36002i | −0.0683561 | − | 0.284882i | ||||
\(355\) | 3.66645 | + | 2.11683i | 0.194595 | + | 0.112350i | ||||
\(356\) | 5.96076 | − | 24.0312i | 0.315920 | − | 1.27365i | ||||
\(357\) | −6.39135 | − | 1.07435i | −0.338266 | − | 0.0568607i | ||||
\(358\) | 26.6414 | + | 3.25479i | 1.40804 | + | 0.172021i | ||||
\(359\) | −29.0848 | −1.53504 | −0.767519 | − | 0.641026i | \(-0.778509\pi\) | ||||
−0.767519 | + | 0.641026i | \(0.778509\pi\) | |||||||
\(360\) | −22.9255 | + | 27.3412i | −1.20828 | + | 1.44101i | ||||
\(361\) | −5.03823 | −0.265170 | ||||||||
\(362\) | 16.9817 | + | 2.07466i | 0.892541 | + | 0.109042i | ||||
\(363\) | 3.65474 | + | 9.79688i | 0.191824 | + | 0.514203i | ||||
\(364\) | 1.10387 | − | 4.45032i | 0.0578584 | − | 0.233260i | ||||
\(365\) | −18.7359 | − | 10.8172i | −0.980682 | − | 0.566197i | ||||
\(366\) | −11.0600 | − | 3.27765i | −0.578117 | − | 0.171325i | ||||
\(367\) | −9.75962 | + | 5.63472i | −0.509448 | + | 0.294130i | −0.732607 | − | 0.680652i | \(-0.761697\pi\) |
0.223159 | + | 0.974782i | \(0.428363\pi\) | |||||||
\(368\) | −18.4100 | + | 11.5660i | −0.959690 | + | 0.602917i | ||||
\(369\) | −2.71235 | + | 7.83997i | −0.141199 | + | 0.408132i | ||||
\(370\) | 56.0779 | + | 42.2045i | 2.91535 | + | 2.19411i | ||||
\(371\) | −2.30659 | − | 3.99513i | −0.119752 | − | 0.207417i | ||||
\(372\) | −5.76257 | + | 0.659361i | −0.298775 | + | 0.0341863i | ||||
\(373\) | 2.00707 | − | 3.47635i | 0.103922 | − | 0.179998i | −0.809375 | − | 0.587292i | \(-0.800194\pi\) |
0.913297 | + | 0.407294i | \(0.133527\pi\) | |||||||
\(374\) | 10.8489 | − | 4.61282i | 0.560981 | − | 0.238523i | ||||
\(375\) | −43.1478 | − | 35.6214i | −2.22814 | − | 1.83948i | ||||
\(376\) | 1.31939 | + | 8.23349i | 0.0680424 | + | 0.424610i | ||||
\(377\) | − | 2.60893i | − | 0.134367i | ||||||
\(378\) | −7.31351 | − | 0.715939i | −0.376166 | − | 0.0368239i | ||||
\(379\) | 0.667011i | 0.0342620i | 0.999853 | + | 0.0171310i | \(0.00545324\pi\) | ||||
−0.999853 | + | 0.0171310i | \(0.994547\pi\) | |||||||
\(380\) | 28.6072 | − | 29.6955i | 1.46752 | − | 1.52335i | ||||
\(381\) | 10.9654 | + | 9.05268i | 0.561776 | + | 0.463783i | ||||
\(382\) | −2.31960 | − | 5.45544i | −0.118681 | − | 0.279125i | ||||
\(383\) | 4.84288 | − | 8.38811i | 0.247460 | − | 0.428613i | −0.715361 | − | 0.698755i | \(-0.753738\pi\) |
0.962820 | + | 0.270143i | \(0.0870709\pi\) | |||||||
\(384\) | 19.5873 | − | 0.581654i | 0.999559 | − | 0.0296824i | ||||
\(385\) | 4.68393 | + | 8.11281i | 0.238715 | + | 0.413467i | ||||
\(386\) | 11.1968 | − | 14.8774i | 0.569903 | − | 0.757240i | ||||
\(387\) | −0.944411 | − | 1.08964i | −0.0480071 | − | 0.0553893i | ||||
\(388\) | 2.79533 | + | 9.70410i | 0.141911 | + | 0.492651i | ||||
\(389\) | −28.0925 | + | 16.2192i | −1.42435 | + | 0.822348i | −0.996667 | − | 0.0815814i | \(-0.974003\pi\) |
−0.427682 | + | 0.903929i | \(0.640670\pi\) | |||||||
\(390\) | 6.70960 | − | 22.6408i | 0.339754 | − | 1.14646i | ||||
\(391\) | −17.6135 | − | 10.1692i | −0.890755 | − | 0.514277i | ||||
\(392\) | −2.19486 | + | 1.78398i | −0.110857 | + | 0.0901044i | ||||
\(393\) | −0.682017 | − | 1.82821i | −0.0344032 | − | 0.0922211i | ||||
\(394\) | 1.20765 | − | 9.88499i | 0.0608405 | − | 0.497999i | ||||
\(395\) | 56.5165 | 2.84365 | ||||||||
\(396\) | 11.9113 | − | 6.06535i | 0.598567 | − | 0.304795i | ||||
\(397\) | 25.7154 | 1.29062 | 0.645310 | − | 0.763921i | \(-0.276728\pi\) | ||||
0.645310 | + | 0.763921i | \(0.276728\pi\) | |||||||
\(398\) | 0.457663 | − | 3.74611i | 0.0229406 | − | 0.187776i | ||||
\(399\) | 8.37455 | + | 1.40772i | 0.419252 | + | 0.0704739i | ||||
\(400\) | 1.89319 | + | 50.6935i | 0.0946594 | + | 2.53467i | ||||
\(401\) | 10.6993 | + | 6.17724i | 0.534298 | + | 0.308477i | 0.742765 | − | 0.669553i | \(-0.233514\pi\) |
−0.208467 | + | 0.978029i | \(0.566847\pi\) | |||||||
\(402\) | 31.6128 | − | 7.58536i | 1.57670 | − | 0.378323i | ||||
\(403\) | 3.32435 | − | 1.91932i | 0.165598 | − | 0.0956079i | ||||
\(404\) | 12.7458 | − | 3.67152i | 0.634129 | − | 0.182665i | ||||
\(405\) | −37.4613 | − | 5.37665i | −1.86147 | − | 0.267168i | ||||
\(406\) | −0.967754 | + | 1.28587i | −0.0480288 | + | 0.0638168i | ||||
\(407\) | −13.1463 | − | 22.7701i | −0.651639 | − | 1.12867i | ||||
\(408\) | 9.04396 | + | 15.9448i | 0.447743 | + | 0.789383i | ||||
\(409\) | −5.59145 | + | 9.68467i | −0.276479 | + | 0.478876i | −0.970507 | − | 0.241072i | \(-0.922501\pi\) |
0.694028 | + | 0.719948i | \(0.255834\pi\) | |||||||
\(410\) | 6.43461 | + | 15.1335i | 0.317783 | + | 0.747391i | ||||
\(411\) | 1.17767 | − | 7.00600i | 0.0580902 | − | 0.345580i | ||||
\(412\) | 5.12798 | + | 4.94004i | 0.252637 | + | 0.243378i | ||||
\(413\) | − | 2.25033i | − | 0.110731i | ||||||
\(414\) | −20.7180 | − | 10.1268i | −1.01823 | − | 0.497707i | ||||
\(415\) | − | 55.9882i | − | 2.74835i | ||||||
\(416\) | −11.7371 | + | 5.51643i | −0.575460 | + | 0.270465i | ||||
\(417\) | 9.20641 | − | 3.43446i | 0.450840 | − | 0.168186i | ||||
\(418\) | −14.2152 | + | 6.04415i | −0.695288 | + | 0.295629i | ||||
\(419\) | −16.0870 | + | 27.8635i | −0.785901 | + | 1.36122i | 0.142559 | + | 0.989786i | \(0.454467\pi\) |
−0.928459 | + | 0.371434i | \(0.878866\pi\) | |||||||
\(420\) | −11.7053 | + | 8.67017i | −0.571161 | + | 0.423061i | ||||
\(421\) | 8.29402 | + | 14.3657i | 0.404226 | + | 0.700140i | 0.994231 | − | 0.107260i | \(-0.0342077\pi\) |
−0.590005 | + | 0.807399i | \(0.700874\pi\) | |||||||
\(422\) | 3.19518 | + | 2.40471i | 0.155539 | + | 0.117059i | ||||
\(423\) | −6.68340 | + | 5.79265i | −0.324958 | + | 0.281648i | ||||
\(424\) | −4.65387 | + | 12.1899i | −0.226012 | + | 0.591993i | ||||
\(425\) | −41.0968 | + | 23.7273i | −1.99349 | + | 1.15094i | ||||
\(426\) | 1.78911 | − | 1.69737i | 0.0866826 | − | 0.0822380i | ||||
\(427\) | −4.07841 | − | 2.35467i | −0.197368 | − | 0.113950i | ||||
\(428\) | −9.77233 | − | 2.42395i | −0.472364 | − | 0.117166i | ||||
\(429\) | −5.63190 | + | 6.82187i | −0.271911 | + | 0.329363i | ||||
\(430\) | −2.83723 | − | 0.346625i | −0.136823 | − | 0.0167157i | ||||
\(431\) | 14.0003 | 0.674370 | 0.337185 | − | 0.941438i | \(-0.390525\pi\) | ||||
0.337185 | + | 0.941438i | \(0.390525\pi\) | |||||||
\(432\) | 11.4757 | + | 17.3294i | 0.552127 | + | 0.833760i | ||||
\(433\) | −28.9725 | −1.39233 | −0.696164 | − | 0.717883i | \(-0.745111\pi\) | ||||
−0.696164 | + | 0.717883i | \(0.745111\pi\) | |||||||
\(434\) | −2.35043 | − | 0.287152i | −0.112824 | − | 0.0137838i | ||||
\(435\) | −5.27668 | + | 6.39159i | −0.252997 | + | 0.306453i | ||||
\(436\) | 9.27172 | + | 2.29978i | 0.444035 | + | 0.110139i | ||||
\(437\) | 23.0789 | + | 13.3246i | 1.10401 | + | 0.637402i | ||||
\(438\) | −9.14251 | + | 8.67373i | −0.436846 | + | 0.414447i | ||||
\(439\) | 26.3297 | − | 15.2014i | 1.25665 | − | 0.725525i | 0.284225 | − | 0.958758i | \(-0.408264\pi\) |
0.972421 | + | 0.233232i | \(0.0749303\pi\) | |||||||
\(440\) | 9.45048 | − | 24.7537i | 0.450534 | − | 1.18008i | ||||
\(441\) | −2.83512 | − | 0.980853i | −0.135006 | − | 0.0467073i | ||||
\(442\) | −9.69328 | − | 7.29521i | −0.461062 | − | 0.346998i | ||||
\(443\) | −10.9707 | − | 19.0019i | −0.521235 | − | 0.902805i | −0.999695 | − | 0.0246960i | \(-0.992138\pi\) |
0.478460 | − | 0.878109i | \(-0.341195\pi\) | |||||||
\(444\) | 32.8532 | − | 24.3344i | 1.55914 | − | 1.15486i | ||||
\(445\) | 26.0285 | − | 45.0827i | 1.23387 | − | 2.13713i | ||||
\(446\) | −8.10143 | + | 3.44464i | −0.383614 | + | 0.163109i | ||||
\(447\) | −26.1458 | + | 9.75374i | −1.23666 | + | 0.461336i | ||||
\(448\) | 7.83117 | + | 1.63486i | 0.369988 | + | 0.0772397i | ||||
\(449\) | − | 21.1481i | − | 0.998043i | −0.866590 | − | 0.499021i | \(-0.833693\pi\) | ||
0.866590 | − | 0.499021i | \(-0.166307\pi\) | |||||||
\(450\) | −44.6330 | + | 30.0497i | −2.10402 | + | 1.41656i | ||||
\(451\) | − | 6.16048i | − | 0.290086i | ||||||
\(452\) | −7.57867 | − | 7.30092i | −0.356471 | − | 0.343406i | ||||
\(453\) | 3.68549 | − | 21.9251i | 0.173160 | − | 1.03013i | ||||
\(454\) | 12.4558 | + | 29.2947i | 0.584581 | + | 1.37487i | ||||
\(455\) | 4.82020 | − | 8.34882i | 0.225974 | − | 0.391399i | ||||
\(456\) | −11.8502 | − | 20.8923i | −0.554939 | − | 0.978373i | ||||
\(457\) | −13.6365 | − | 23.6191i | −0.637887 | − | 1.10485i | −0.985896 | − | 0.167361i | \(-0.946475\pi\) |
0.348009 | − | 0.937491i | \(-0.386858\pi\) | |||||||
\(458\) | −17.6392 | + | 23.4375i | −0.824226 | + | 1.09516i | ||||
\(459\) | −9.31489 | + | 17.0665i | −0.434782 | + | 0.796596i | ||||
\(460\) | −43.9260 | + | 12.6532i | −2.04806 | + | 0.589957i | ||||
\(461\) | 21.9447 | − | 12.6698i | 1.02206 | − | 0.590089i | 0.107363 | − | 0.994220i | \(-0.465759\pi\) |
0.914701 | + | 0.404130i | \(0.132426\pi\) | |||||||
\(462\) | 5.30631 | − | 1.27323i | 0.246872 | − | 0.0592358i | ||||
\(463\) | −7.18441 | − | 4.14792i | −0.333888 | − | 0.192770i | 0.323678 | − | 0.946167i | \(-0.395081\pi\) |
−0.657566 | + | 0.753397i | \(0.728414\pi\) | |||||||
\(464\) | 4.54876 | − | 0.169877i | 0.211171 | − | 0.00788635i | ||||
\(465\) | −12.0262 | − | 2.02154i | −0.557701 | − | 0.0937466i | ||||
\(466\) | 0.743557 | − | 6.08625i | 0.0344446 | − | 0.281940i | ||||
\(467\) | 23.3145 | 1.07887 | 0.539434 | − | 0.842028i | \(-0.318638\pi\) | ||||
0.539434 | + | 0.842028i | \(0.318638\pi\) | |||||||
\(468\) | −11.5345 | − | 7.49471i | −0.533181 | − | 0.346443i | ||||
\(469\) | 13.2722 | 0.612853 | ||||||||
\(470\) | −2.12606 | + | 17.4025i | −0.0980679 | + | 0.802716i | ||||
\(471\) | 8.82952 | + | 23.6684i | 0.406843 | + | 1.09058i | ||||
\(472\) | −4.93917 | + | 4.01454i | −0.227344 | + | 0.184784i | ||||
\(473\) | 0.927324 | + | 0.535391i | 0.0426384 | + | 0.0246173i | ||||
\(474\) | 9.35425 | − | 31.5648i | 0.429655 | − | 1.44982i | ||||
\(475\) | 53.8489 | − | 31.0897i | 2.47076 | − | 1.42649i | ||||
\(476\) | 2.07148 | + | 7.19123i | 0.0949461 | + | 0.329609i | ||||
\(477\) | −13.5891 | + | 2.62084i | −0.622203 | + | 0.120000i | ||||
\(478\) | −5.44307 | + | 7.23231i | −0.248960 | + | 0.330798i | ||||
\(479\) | −12.1862 | − | 21.1071i | −0.556802 | − | 0.964410i | −0.997761 | − | 0.0668826i | \(-0.978695\pi\) |
0.440958 | − | 0.897528i | \(-0.354639\pi\) | |||||||
\(480\) | 39.9119 | + | 10.2242i | 1.82172 | + | 0.466669i | ||||
\(481\) | −13.5288 | + | 23.4325i | −0.616859 | + | 1.06843i | ||||
\(482\) | −3.97865 | − | 9.35737i | −0.181223 | − | 0.426216i | ||||
\(483\) | −7.26002 | − | 5.99362i | −0.330342 | − | 0.272719i | ||||
\(484\) | 8.37678 | − | 8.69545i | 0.380763 | − | 0.395248i | ||||
\(485\) | 21.2326i | 0.964123i | ||||||||
\(486\) | −9.20325 | + | 20.0325i | −0.417468 | + | 0.908692i | ||||
\(487\) | 19.2798i | 0.873652i | 0.899546 | + | 0.436826i | \(0.143897\pi\) | ||||
−0.899546 | + | 0.436826i | \(0.856103\pi\) | |||||||
\(488\) | 2.10760 | + | 13.1522i | 0.0954067 | + | 0.595373i | ||||
\(489\) | 19.2578 | + | 15.8986i | 0.870870 | + | 0.718960i | ||||
\(490\) | −5.47265 | + | 2.32691i | −0.247229 | + | 0.105119i | ||||
\(491\) | −5.83130 | + | 10.1001i | −0.263163 | + | 0.455812i | −0.967081 | − | 0.254470i | \(-0.918099\pi\) |
0.703918 | + | 0.710282i | \(0.251432\pi\) | |||||||
\(492\) | 9.51718 | − | 1.08897i | 0.429068 | − | 0.0490945i | ||||
\(493\) | 2.12906 | + | 3.68765i | 0.0958882 | + | 0.166083i | ||||
\(494\) | 12.7010 | + | 9.55887i | 0.571447 | + | 0.430074i | ||||
\(495\) | 27.5951 | − | 5.32206i | 1.24031 | − | 0.239209i | ||||
\(496\) | 3.56286 | + | 5.67115i | 0.159977 | + | 0.254642i | ||||
\(497\) | 0.871922 | − | 0.503405i | 0.0391111 | − | 0.0225808i | ||||
\(498\) | −31.2698 | − | 9.26681i | −1.40123 | − | 0.415256i | ||||
\(499\) | 7.81906 | + | 4.51434i | 0.350029 | + | 0.202089i | 0.664698 | − | 0.747112i | \(-0.268560\pi\) |
−0.314669 | + | 0.949201i | \(0.601893\pi\) | |||||||
\(500\) | −15.5541 | + | 62.7074i | −0.695600 | + | 2.80436i | ||||
\(501\) | 0.290383 | + | 0.778399i | 0.0129733 | + | 0.0347763i | ||||
\(502\) | 26.8844 | + | 3.28447i | 1.19991 | + | 0.146593i | ||||
\(503\) | 31.2652 | 1.39405 | 0.697023 | − | 0.717049i | \(-0.254508\pi\) | ||||
0.697023 | + | 0.717049i | \(0.254508\pi\) | |||||||
\(504\) | 2.90496 | + | 7.97253i | 0.129397 | + | 0.355125i | ||||
\(505\) | 27.8879 | 1.24100 | ||||||||
\(506\) | 16.9982 | + | 2.07667i | 0.755663 | + | 0.0923194i | ||||
\(507\) | −13.2275 | − | 2.22347i | −0.587453 | − | 0.0987477i | ||||
\(508\) | 3.95286 | − | 15.9362i | 0.175380 | − | 0.707056i | ||||
\(509\) | −14.7396 | − | 8.50991i | −0.653321 | − | 0.377195i | 0.136406 | − | 0.990653i | \(-0.456445\pi\) |
−0.789728 | + | 0.613458i | \(0.789778\pi\) | |||||||
\(510\) | 8.99257 | + | 37.4775i | 0.398198 | + | 1.65953i | ||||
\(511\) | −4.45560 | + | 2.57244i | −0.197104 | + | 0.113798i | ||||
\(512\) | −10.3823 | − | 20.1049i | −0.458839 | − | 0.888519i | ||||
\(513\) | 12.2052 | − | 22.3621i | 0.538875 | − | 0.987311i | ||||
\(514\) | −12.0546 | − | 9.07237i | −0.531707 | − | 0.400165i | ||||
\(515\) | 7.48536 | + | 12.9650i | 0.329845 | + | 0.571308i | ||||
\(516\) | −0.663193 | + | 1.52724i | −0.0291954 | + | 0.0672331i | ||||
\(517\) | 3.28388 | − | 5.68785i | 0.144425 | − | 0.250151i | ||||
\(518\) | 15.3600 | − | 6.53091i | 0.674880 | − | 0.286952i | ||||
\(519\) | −3.18922 | + | 18.9728i | −0.139991 | + | 0.832813i | ||||
\(520\) | −26.9236 | + | 4.31443i | −1.18068 | + | 0.189200i | ||||
\(521\) | 26.5870i | 1.16480i | 0.812904 | + | 0.582398i | \(0.197885\pi\) | ||||
−0.812904 | + | 0.582398i | \(0.802115\pi\) | |||||||
\(522\) | 2.69638 | + | 4.00495i | 0.118017 | + | 0.175292i | ||||
\(523\) | 10.3523i | 0.452675i | 0.974049 | + | 0.226338i | \(0.0726753\pi\) | ||||
−0.974049 | + | 0.226338i | \(0.927325\pi\) | |||||||
\(524\) | −1.56320 | + | 1.62267i | −0.0682889 | + | 0.0708868i | ||||
\(525\) | −20.5808 | + | 7.67768i | −0.898219 | + | 0.335082i | ||||
\(526\) | −12.5400 | − | 29.4927i | −0.546769 | − | 1.28594i | ||||
\(527\) | −3.13258 | + | 5.42579i | −0.136457 | + | 0.236351i | ||||
\(528\) | −12.2609 | − | 9.37522i | −0.533587 | − | 0.408004i | ||||
\(529\) | −3.27190 | − | 5.66710i | −0.142257 | − | 0.246396i | ||||
\(530\) | −16.4967 | + | 21.9195i | −0.716572 | + | 0.952122i | ||||
\(531\) | −6.37996 | − | 2.20724i | −0.276867 | − | 0.0957861i | ||||
\(532\) | −2.71425 | − | 9.42262i | −0.117677 | − | 0.408522i | ||||
\(533\) | −5.49034 | + | 3.16985i | −0.237813 | + | 0.137301i | ||||
\(534\) | −20.8709 | − | 21.9989i | −0.903173 | − | 0.951986i | ||||
\(535\) | −18.3329 | − | 10.5845i | −0.792602 | − | 0.457609i | ||||
\(536\) | −23.6773 | − | 29.1307i | −1.02270 | − | 1.25825i | ||||
\(537\) | 20.9274 | − | 25.3492i | 0.903086 | − | 1.09390i | ||||
\(538\) | −4.39042 | + | 35.9370i | −0.189284 | + | 1.54935i | ||||
\(539\) | 2.22778 | 0.0959573 | ||||||||
\(540\) | 13.0998 | + | 41.6902i | 0.563726 | + | 1.79406i | ||||
\(541\) | −10.3163 | −0.443534 | −0.221767 | − | 0.975100i | \(-0.571182\pi\) | ||||
−0.221767 | + | 0.975100i | \(0.571182\pi\) | |||||||
\(542\) | 5.25638 | − | 43.0251i | 0.225781 | − | 1.84809i | ||||
\(543\) | 13.3395 | − | 16.1581i | 0.572454 | − | 0.693408i | ||||
\(544\) | 12.0883 | − | 17.3756i | 0.518282 | − | 0.744973i | ||||
\(545\) | 17.3938 | + | 10.0423i | 0.745068 | + | 0.430165i | ||||
\(546\) | −3.86506 | − | 4.07395i | −0.165409 | − | 0.174349i | ||||
\(547\) | −33.4294 | + | 19.3005i | −1.42934 | + | 0.825229i | −0.997068 | − | 0.0765150i | \(-0.975621\pi\) |
−0.432270 | + | 0.901744i | \(0.642287\pi\) | |||||||
\(548\) | −7.88280 | + | 2.27069i | −0.336736 | + | 0.0969991i | ||||
\(549\) | −10.6761 | + | 9.25321i | −0.455645 | + | 0.394917i | ||||
\(550\) | 24.0268 | − | 31.9248i | 1.02451 | − | 1.36128i | ||||
\(551\) | −2.78970 | − | 4.83190i | −0.118845 | − | 0.205846i | ||||
\(552\) | −0.203480 | + | 26.6272i | −0.00866067 | + | 1.13333i | ||||
\(553\) | 6.72012 | − | 11.6396i | 0.285769 | − | 0.494966i | ||||
\(554\) | −3.98574 | − | 9.37404i | −0.169338 | − | 0.398265i | ||||
\(555\) | 80.5373 | − | 30.0445i | 3.41862 | − | 1.27532i | ||||
\(556\) | −8.17137 | − | 7.87190i | −0.346543 | − | 0.333843i | ||||
\(557\) | − | 33.9277i | − | 1.43756i | −0.695236 | − | 0.718781i | \(-0.744700\pi\) | ||
0.695236 | − | 0.718781i | \(-0.255300\pi\) | |||||||
\(558\) | −3.11954 | + | 6.38211i | −0.132061 | + | 0.270176i | ||||
\(559\) | − | 1.10193i | − | 0.0466068i | ||||||
\(560\) | 14.8703 | + | 7.86056i | 0.628386 | + | 0.332169i | ||||
\(561\) | 2.39342 | − | 14.2385i | 0.101050 | − | 0.601151i | ||||
\(562\) | 29.3289 | − | 12.4703i | 1.23716 | − | 0.526029i | ||||
\(563\) | −11.2520 | + | 19.4890i | −0.474216 | + | 0.821366i | −0.999564 | − | 0.0295216i | \(-0.990602\pi\) |
0.525349 | + | 0.850887i | \(0.323935\pi\) | |||||||
\(564\) | 9.36750 | + | 4.06776i | 0.394443 | + | 0.171284i | ||||
\(565\) | −11.0627 | − | 19.1611i | −0.465410 | − | 0.806114i | ||||
\(566\) | −21.5655 | − | 16.2303i | −0.906466 | − | 0.682211i | ||||
\(567\) | −5.56168 | + | 7.07586i | −0.233568 | + | 0.297158i | ||||
\(568\) | −2.66039 | − | 1.01569i | −0.111628 | − | 0.0426174i | ||||
\(569\) | −15.4975 | + | 8.94749i | −0.649690 | + | 0.375098i | −0.788337 | − | 0.615243i | \(-0.789058\pi\) |
0.138648 | + | 0.990342i | \(0.455724\pi\) | |||||||
\(570\) | −11.7829 | − | 49.1066i | −0.493532 | − | 2.05685i | ||||
\(571\) | −24.0060 | − | 13.8599i | −1.00462 | − | 0.580017i | −0.0950074 | − | 0.995477i | \(-0.530287\pi\) |
−0.909612 | + | 0.415459i | \(0.863621\pi\) | |||||||
\(572\) | 9.91434 | + | 2.45917i | 0.414539 | + | 0.102823i | ||||
\(573\) | −7.15996 | − | 1.20355i | −0.299112 | − | 0.0502790i | ||||
\(574\) | 3.88186 | + | 0.474247i | 0.162026 | + | 0.0197947i | ||||
\(575\) | −68.9331 | −2.87471 | ||||||||
\(576\) | 12.3162 | − | 20.5988i | 0.513177 | − | 0.858283i | ||||
\(577\) | −42.5735 | −1.77236 | −0.886179 | − | 0.463344i | \(-0.846650\pi\) | ||||
−0.886179 | + | 0.463344i | \(0.846650\pi\) | |||||||
\(578\) | −4.20965 | − | 0.514293i | −0.175098 | − | 0.0213918i | ||||
\(579\) | −7.97078 | − | 21.3664i | −0.331254 | − | 0.887959i | ||||
\(580\) | 9.28901 | + | 2.30407i | 0.385705 | + | 0.0956711i | ||||
\(581\) | −11.5308 | − | 6.65730i | −0.478378 | − | 0.276191i | ||||
\(582\) | 11.8585 | + | 3.51428i | 0.491552 | + | 0.145672i | ||||
\(583\) | 8.90028 | − | 5.13858i | 0.368612 | − | 0.212818i | ||||
\(584\) | 13.5949 | + | 5.19026i | 0.562559 | + | 0.214775i | ||||
\(585\) | −18.9420 | − | 21.8548i | −0.783157 | − | 0.903585i | ||||
\(586\) | −7.79286 | − | 5.86494i | −0.321920 | − | 0.242279i | ||||
\(587\) | −23.6978 | − | 41.0459i | −0.978115 | − | 1.69414i | −0.669248 | − | 0.743039i | \(-0.733384\pi\) |
−0.308867 | − | 0.951105i | \(-0.599950\pi\) | |||||||
\(588\) | 0.393798 | + | 3.44165i | 0.0162400 | + | 0.141931i | ||||
\(589\) | 4.10460 | − | 7.10938i | 0.169127 | − | 0.292937i | ||||
\(590\) | −12.3153 | + | 5.23632i | −0.507011 | + | 0.215576i | ||||
\(591\) | −9.40553 | − | 7.76488i | −0.386892 | − | 0.319404i | ||||
\(592\) | −41.7363 | − | 22.0621i | −1.71535 | − | 0.906748i | ||||
\(593\) | − | 9.85416i | − | 0.404662i | −0.979317 | − | 0.202331i | \(-0.935148\pi\) | ||
0.979317 | − | 0.202331i | \(-0.0648517\pi\) | |||||||
\(594\) | 1.59495 | − | 16.2929i | 0.0654418 | − | 0.668505i | ||||
\(595\) | 15.7344i | 0.645048i | ||||||||
\(596\) | 23.2064 | + | 22.3559i | 0.950570 | + | 0.915733i | ||||
\(597\) | −3.56441 | − | 2.94265i | −0.145882 | − | 0.120435i | ||||
\(598\) | −6.89559 | − | 16.2177i | −0.281982 | − | 0.663191i | ||||
\(599\) | −14.3947 | + | 24.9324i | −0.588153 | + | 1.01871i | 0.406322 | + | 0.913730i | \(0.366811\pi\) |
−0.994474 | + | 0.104980i | \(0.966522\pi\) | |||||||
\(600\) | 53.5671 | + | 31.4752i | 2.18687 | + | 1.28497i | ||||
\(601\) | 11.9480 | + | 20.6946i | 0.487370 | + | 0.844150i | 0.999895 | − | 0.0145229i | \(-0.00462295\pi\) |
−0.512524 | + | 0.858673i | \(0.671290\pi\) | |||||||
\(602\) | −0.408750 | + | 0.543113i | −0.0166594 | + | 0.0221356i | ||||
\(603\) | 13.0181 | − | 37.6283i | 0.530137 | − | 1.53234i | ||||
\(604\) | −24.6691 | + | 7.10608i | −1.00377 | + | 0.289142i | ||||
\(605\) | 21.9847 | − | 12.6928i | 0.893804 | − | 0.516038i | ||||
\(606\) | 4.61583 | − | 15.5756i | 0.187505 | − | 0.632715i | ||||
\(607\) | 0.492088 | + | 0.284107i | 0.0199732 | + | 0.0115316i | 0.509953 | − | 0.860202i | \(-0.329663\pi\) |
−0.489980 | + | 0.871734i | \(0.662996\pi\) | |||||||
\(608\) | −15.8392 | + | 22.7671i | −0.642365 | + | 0.923329i | ||||
\(609\) | 0.688924 | + | 1.84673i | 0.0279166 | + | 0.0748332i | ||||
\(610\) | −3.39618 | + | 27.7988i | −0.137507 | + | 1.12554i | ||||
\(611\) | −6.75883 | −0.273433 | ||||||||
\(612\) | 22.4198 | + | 1.18064i | 0.906268 | + | 0.0477244i | ||||
\(613\) | −43.0269 | −1.73784 | −0.868919 | − | 0.494953i | \(-0.835185\pi\) | ||||
−0.868919 | + | 0.494953i | \(0.835185\pi\) | |||||||
\(614\) | −4.07991 | + | 33.3953i | −0.164652 | + | 1.34773i | ||||
\(615\) | 19.8619 | + | 3.33868i | 0.800909 | + | 0.134628i | ||||
\(616\) | −3.97431 | − | 4.88967i | −0.160129 | − | 0.197011i | ||||
\(617\) | 19.4820 | + | 11.2480i | 0.784317 | + | 0.452826i | 0.837958 | − | 0.545735i | \(-0.183749\pi\) |
−0.0536409 | + | 0.998560i | \(0.517083\pi\) | |||||||
\(618\) | 8.47998 | − | 2.03473i | 0.341115 | − | 0.0818490i | ||||
\(619\) | 37.3543 | − | 21.5665i | 1.50139 | − | 0.866830i | 0.501396 | − | 0.865218i | \(-0.332820\pi\) |
0.999999 | − | 0.00161224i | \(-0.000513192\pi\) | |||||||
\(620\) | 3.89777 | + | 13.5313i | 0.156538 | + | 0.543429i | ||||
\(621\) | −24.1137 | + | 14.7042i | −0.967648 | + | 0.590059i | ||||
\(622\) | 17.3536 | − | 23.0580i | 0.695815 | − | 0.924541i | ||||
\(623\) | −6.18987 | − | 10.7212i | −0.247992 | − | 0.429534i | ||||
\(624\) | −2.04659 | + | 15.7511i | −0.0819293 | + | 0.630550i | ||||
\(625\) | −36.2137 | + | 62.7239i | −1.44855 | + | 2.50896i | ||||
\(626\) | 0.764338 | + | 1.79764i | 0.0305491 | + | 0.0718482i | ||||
\(627\) | −3.13608 | + | 18.6566i | −0.125243 | + | 0.745075i | ||||
\(628\) | 20.2375 | − | 21.0074i | 0.807566 | − | 0.838288i | ||||
\(629\) | − | 44.1616i | − | 1.76084i | ||||||
\(630\) | 1.22923 | + | 17.7980i | 0.0489735 | + | 0.709089i | ||||
\(631\) | 2.16073i | 0.0860171i | 0.999075 | + | 0.0430086i | \(0.0136943\pi\) | ||||
−0.999075 | + | 0.0430086i | \(0.986306\pi\) | |||||||
\(632\) | −37.5359 | + | 6.01501i | −1.49310 | + | 0.239264i | ||||
\(633\) | 4.58882 | − | 1.71186i | 0.182389 | − | 0.0680405i | ||||
\(634\) | 28.6027 | − | 12.1616i | 1.13596 | − | 0.482997i | ||||
\(635\) | 17.2607 | − | 29.8965i | 0.684971 | − | 1.18641i | ||||
\(636\) | 9.51175 | + | 12.8415i | 0.377165 | + | 0.509199i | ||||
\(637\) | −1.14629 | − | 1.98544i | −0.0454179 | − | 0.0786660i | ||||
\(638\) | −2.86464 | − | 2.15594i | −0.113412 | − | 0.0853546i | ||||
\(639\) | −0.571987 | − | 2.96577i | −0.0226275 | − | 0.117324i | ||||
\(640\) | −9.27547 | − | 46.6614i | −0.366645 | − | 1.84445i | ||||
\(641\) | 2.13825 | − | 1.23452i | 0.0844557 | − | 0.0487605i | −0.457177 | − | 0.889376i | \(-0.651140\pi\) |
0.541633 | + | 0.840615i | \(0.317806\pi\) | |||||||
\(642\) | −8.94588 | + | 8.48718i | −0.353066 | + | 0.334962i | ||||
\(643\) | 25.6821 | + | 14.8276i | 1.01280 | + | 0.584742i | 0.912011 | − | 0.410166i | \(-0.134529\pi\) |
0.100792 | + | 0.994908i | \(0.467862\pi\) | |||||||
\(644\) | −2.61712 | + | 10.5511i | −0.103129 | + | 0.415772i | ||||
\(645\) | −2.22871 | + | 2.69961i | −0.0877553 | + | 0.106297i | ||||
\(646\) | −25.7532 | − | 3.14627i | −1.01325 | − | 0.123788i | ||||
\(647\) | 18.8904 | 0.742656 | 0.371328 | − | 0.928502i | \(-0.378902\pi\) | ||||
0.371328 | + | 0.928502i | \(0.378902\pi\) | |||||||
\(648\) | 25.4524 | − | 0.416036i | 0.999866 | − | 0.0163435i | ||||
\(649\) | 5.01324 | 0.196787 | ||||||||
\(650\) | −40.8149 | − | 4.98636i | −1.60089 | − | 0.195581i | ||||
\(651\) | −1.84632 | + | 2.23643i | −0.0723628 | + | 0.0876525i | ||||
\(652\) | 6.94214 | − | 27.9878i | 0.271875 | − | 1.09608i | ||||
\(653\) | 31.1731 | + | 17.9978i | 1.21990 | + | 0.704308i | 0.964896 | − | 0.262632i | \(-0.0845906\pi\) |
0.255002 | + | 0.966941i | \(0.417924\pi\) | |||||||
\(654\) | 8.48760 | − | 8.05241i | 0.331892 | − | 0.314874i | ||||
\(655\) | −4.10259 | + | 2.36863i | −0.160302 | + | 0.0925502i | ||||
\(656\) | −5.88424 | − | 9.36621i | −0.229741 | − | 0.365689i | ||||
\(657\) | 2.92291 | + | 15.1554i | 0.114033 | + | 0.591267i | ||||
\(658\) | 3.33124 | + | 2.50711i | 0.129865 | + | 0.0977374i | ||||
\(659\) | 17.9267 | + | 31.0499i | 0.698324 | + | 1.20953i | 0.969047 | + | 0.246876i | \(0.0794039\pi\) |
−0.270723 | + | 0.962657i | \(0.587263\pi\) | |||||||
\(660\) | −19.3152 | − | 26.0769i | −0.751845 | − | 1.01504i | ||||
\(661\) | −1.41764 | + | 2.45542i | −0.0551397 | + | 0.0955048i | −0.892278 | − | 0.451487i | \(-0.850894\pi\) |
0.837138 | + | 0.546992i | \(0.184227\pi\) | |||||||
\(662\) | 44.3015 | − | 18.8366i | 1.72183 | − | 0.732103i | ||||
\(663\) | −13.9212 | + | 5.19331i | −0.540654 | + | 0.201692i | ||||
\(664\) | 5.95878 | + | 37.1850i | 0.231245 | + | 1.44306i | ||||
\(665\) | − | 20.6167i | − | 0.799482i | ||||||
\(666\) | −3.45005 | − | 49.9534i | −0.133687 | − | 1.93565i | ||||
\(667\) | 6.18542i | 0.239500i | ||||||||
\(668\) | 0.665566 | − | 0.690886i | 0.0257515 | − | 0.0267312i | ||||
\(669\) | −1.78729 | + | 10.6327i | −0.0691008 | + | 0.411083i | ||||
\(670\) | −30.8833 | − | 72.6341i | −1.19312 | − | 2.80610i | ||||
\(671\) | 5.24569 | − | 9.08579i | 0.202507 | − | 0.350753i | ||||
\(672\) | 6.85142 | − | 7.00415i | 0.264299 | − | 0.270191i | ||||
\(673\) | −0.243115 | − | 0.421088i | −0.00937141 | − | 0.0162318i | 0.861302 | − | 0.508094i | \(-0.169650\pi\) |
−0.870673 | + | 0.491862i | \(0.836316\pi\) | |||||||
\(674\) | 8.47974 | − | 11.2672i | 0.326627 | − | 0.433996i | ||||
\(675\) | 1.58048 | + | 65.8797i | 0.0608328 | + | 2.53571i | ||||
\(676\) | 4.28711 | + | 14.8829i | 0.164889 | + | 0.572419i | ||||
\(677\) | 31.6074 | − | 18.2485i | 1.21477 | − | 0.701348i | 0.250976 | − | 0.967993i | \(-0.419248\pi\) |
0.963795 | + | 0.266645i | \(0.0859151\pi\) | |||||||
\(678\) | −12.5326 | + | 3.00715i | −0.481312 | + | 0.115489i | ||||
\(679\) | 4.37286 | + | 2.52467i | 0.167815 | + | 0.0968880i | ||||
\(680\) | 34.5349 | − | 28.0698i | 1.32435 | − | 1.07643i | ||||
\(681\) | 38.4477 | + | 6.46285i | 1.47332 | + | 0.247657i | ||||
\(682\) | 0.639712 | − | 5.23625i | 0.0244959 | − | 0.200506i | ||||
\(683\) | 1.99318 | 0.0762668 | 0.0381334 | − | 0.999273i | \(-0.487859\pi\) | ||||
0.0381334 | + | 0.999273i | \(0.487859\pi\) | |||||||
\(684\) | −29.3766 | − | 1.54698i | −1.12324 | − | 0.0591502i | ||||
\(685\) | −17.2476 | −0.658996 | ||||||||
\(686\) | −0.171499 | + | 1.40378i | −0.00654788 | + | 0.0535964i | ||||
\(687\) | 12.5570 | + | 33.6602i | 0.479079 | + | 1.28422i | ||||
\(688\) | 1.92126 | − | 0.0717509i | 0.0732473 | − | 0.00273548i | ||||
\(689\) | −9.15920 | − | 5.28807i | −0.348938 | − | 0.201459i | ||||
\(690\) | −15.9076 | + | 53.6782i | −0.605590 | + | 2.04349i | ||||
\(691\) | −37.5981 | + | 21.7073i | −1.43030 | + | 0.825783i | −0.997143 | − | 0.0755366i | \(-0.975933\pi\) |
−0.433155 | + | 0.901319i | \(0.642600\pi\) | |||||||
\(692\) | 21.3472 | − | 6.14921i | 0.811500 | − | 0.233758i | ||||
\(693\) | 2.18512 | − | 6.31603i | 0.0830060 | − | 0.239926i | ||||
\(694\) | −16.5949 | + | 22.0499i | −0.629933 | + | 0.837003i | ||||
\(695\) | −11.9278 | − | 20.6596i | −0.452449 | − | 0.783664i | ||||
\(696\) | 2.82429 | − | 4.80662i | 0.107055 | − | 0.182194i | ||||
\(697\) | 5.17362 | − | 8.96098i | 0.195965 | − | 0.339421i | ||||
\(698\) | 8.54970 | + | 20.1080i | 0.323611 | + | 0.761098i | ||||
\(699\) | −5.79103 | − | 4.78088i | −0.219037 | − | 0.180829i | ||||
\(700\) | 18.2670 | + | 17.5975i | 0.690426 | + | 0.665123i | ||||
\(701\) | 8.04511i | 0.303860i | 0.988391 | + | 0.151930i | \(0.0485488\pi\) | ||||
−0.988391 | + | 0.151930i | \(0.951451\pi\) | |||||||
\(702\) | −15.3412 | + | 6.96198i | −0.579017 | + | 0.262763i | ||||
\(703\) | 57.8646i | 2.18241i | ||||||||
\(704\) | −3.64210 | + | 17.4461i | −0.137267 | + | 0.657526i | ||||
\(705\) | 16.5584 | + | 13.6700i | 0.623624 | + | 0.514843i | ||||
\(706\) | −1.81013 | + | 0.769647i | −0.0681250 | + | 0.0289660i | ||||
\(707\) | 3.31603 | − | 5.74352i | 0.124712 | − | 0.216007i | ||||
\(708\) | 0.886175 | + | 7.74484i | 0.0333045 | + | 0.291069i | ||||
\(709\) | 8.65512 | + | 14.9911i | 0.325050 | + | 0.563003i | 0.981522 | − | 0.191347i | \(-0.0612856\pi\) |
−0.656473 | + | 0.754350i | \(0.727952\pi\) | |||||||
\(710\) | −4.78384 | − | 3.60035i | −0.179534 | − | 0.135119i | ||||
\(711\) | −26.4082 | − | 30.4691i | −0.990386 | − | 1.14268i | ||||
\(712\) | −12.4889 | + | 32.7122i | −0.468042 | + | 1.22594i | ||||
\(713\) | −7.88159 | + | 4.55044i | −0.295168 | + | 0.170415i | ||||
\(714\) | 8.78778 | + | 2.60426i | 0.328874 | + | 0.0974620i | ||||
\(715\) | 18.5993 | + | 10.7383i | 0.695576 | + | 0.401591i | ||||
\(716\) | −36.8404 | − | 9.13798i | −1.37679 | − | 0.341502i | ||||
\(717\) | 3.87481 | + | 10.3868i | 0.144708 | + | 0.387902i | ||||
\(718\) | 40.8286 | + | 4.98803i | 1.52371 | + | 0.186152i | ||||
\(719\) | −11.2806 | −0.420694 | −0.210347 | − | 0.977627i | \(-0.567459\pi\) | ||||
−0.210347 | + | 0.977627i | \(0.567459\pi\) | |||||||
\(720\) | 36.8713 | − | 34.4492i | 1.37411 | − | 1.28385i | ||||
\(721\) | 3.56020 | 0.132589 | ||||||||
\(722\) | 7.07254 | + | 0.864053i | 0.263213 | + | 0.0321567i | ||||
\(723\) | −12.2810 | − | 2.06437i | −0.456736 | − | 0.0767748i | ||||
\(724\) | −23.4828 | − | 5.82472i | −0.872730 | − | 0.216474i | ||||
\(725\) | 12.4986 | + | 7.21607i | 0.464187 | + | 0.267998i | ||||
\(726\) | −3.45028 | − | 14.3794i | −0.128052 | − | 0.533670i | ||||
\(727\) | −40.7358 | + | 23.5188i | −1.51081 | + | 0.872265i | −0.510887 | + | 0.859648i | \(0.670683\pi\) |
−0.999920 | + | 0.0126169i | \(0.995984\pi\) | |||||||
\(728\) | −2.31281 | + | 6.05794i | −0.0857184 | + | 0.224522i | ||||
\(729\) | 14.6057 | + | 22.7084i | 0.540954 | + | 0.841052i | ||||
\(730\) | 24.4459 | + | 18.3981i | 0.904783 | + | 0.680944i | ||||
\(731\) | 0.899252 | + | 1.55755i | 0.0332600 | + | 0.0576081i | ||||
\(732\) | 14.9637 | + | 6.49787i | 0.553074 | + | 0.240168i | ||||
\(733\) | −0.645488 | + | 1.11802i | −0.0238416 | + | 0.0412949i | −0.877700 | − | 0.479210i | \(-0.840923\pi\) |
0.853858 | + | 0.520505i | \(0.174256\pi\) | |||||||
\(734\) | 14.6667 | − | 6.23612i | 0.541357 | − | 0.230179i | ||||
\(735\) | −1.20735 | + | 7.18254i | −0.0445336 | + | 0.264932i | ||||
\(736\) | 27.8271 | − | 13.0787i | 1.02572 | − | 0.482088i | ||||
\(737\) | 29.5675i | 1.08913i | ||||||||
\(738\) | 5.15208 | − | 10.5404i | 0.189651 | − | 0.387997i | ||||
\(739\) | 40.5049i | 1.49000i | 0.667067 | + | 0.744998i | \(0.267549\pi\) | ||||
−0.667067 | + | 0.744998i | \(0.732451\pi\) | |||||||
\(740\) | −71.4828 | − | 68.8630i | −2.62776 | − | 2.53146i | ||||
\(741\) | 18.2408 | − | 6.80476i | 0.670093 | − | 0.249979i | ||||
\(742\) | 2.55278 | + | 6.00385i | 0.0937154 | + | 0.220408i | ||||
\(743\) | 17.6790 | − | 30.6209i | 0.648580 | − | 1.12337i | −0.334882 | − | 0.942260i | \(-0.608697\pi\) |
0.983462 | − | 0.181113i | \(-0.0579701\pi\) | |||||||
\(744\) | 8.20244 | + | 0.0626813i | 0.300716 | + | 0.00229801i | ||||
\(745\) | 33.8746 | + | 58.6725i | 1.24107 | + | 2.14959i | ||||
\(746\) | −3.41367 | + | 4.53580i | −0.124983 | + | 0.166067i | ||||
\(747\) | −30.1843 | + | 26.1614i | −1.10438 | + | 0.957195i | ||||
\(748\) | −16.0205 | + | 4.61480i | −0.585767 | + | 0.168734i | ||||
\(749\) | −4.35977 | + | 2.51712i | −0.159303 | + | 0.0919735i | ||||
\(750\) | 54.4608 | + | 57.4042i | 1.98863 | + | 2.09611i | ||||
\(751\) | 43.2698 | + | 24.9818i | 1.57894 | + | 0.911600i | 0.995008 | + | 0.0997964i | \(0.0318191\pi\) |
0.583930 | + | 0.811804i | \(0.301514\pi\) | |||||||
\(752\) | −0.440092 | − | 11.7843i | −0.0160485 | − | 0.429728i | ||||
\(753\) | 21.1183 | − | 25.5804i | 0.769594 | − | 0.932202i | ||||
\(754\) | −0.447430 | + | 3.66235i | −0.0162944 | + | 0.133375i | ||||
\(755\) | −53.9759 | −1.96439 | ||||||||
\(756\) | 10.1437 | + | 2.25928i | 0.368925 | + | 0.0821693i | ||||
\(757\) | 15.8751 | 0.576990 | 0.288495 | − | 0.957481i | \(-0.406845\pi\) | ||||
0.288495 | + | 0.957481i | \(0.406845\pi\) | |||||||
\(758\) | 0.114392 | − | 0.936334i | 0.00415490 | − | 0.0340092i | ||||
\(759\) | 13.3525 | − | 16.1737i | 0.484664 | − | 0.587069i | ||||
\(760\) | −45.2509 | + | 36.7797i | −1.64142 | + | 1.33414i | ||||
\(761\) | −2.50431 | − | 1.44587i | −0.0907813 | − | 0.0524126i | 0.453922 | − | 0.891041i | \(-0.350024\pi\) |
−0.544703 | + | 0.838629i | \(0.683358\pi\) | |||||||
\(762\) | −13.8405 | − | 14.5885i | −0.501388 | − | 0.528486i | ||||
\(763\) | 4.13643 | − | 2.38817i | 0.149749 | − | 0.0864576i | ||||
\(764\) | 2.32059 | + | 8.05603i | 0.0839560 | + | 0.291457i | ||||
\(765\) | 44.6090 | + | 15.4331i | 1.61284 | + | 0.557987i | ||||
\(766\) | −8.23688 | + | 10.9445i | −0.297610 | + | 0.395440i | ||||
\(767\) | −2.57954 | − | 4.46790i | −0.0931418 | − | 0.161326i | ||||
\(768\) | −27.5959 | − | 2.54269i | −0.995782 | − | 0.0917516i | ||||
\(769\) | −3.77761 | + | 6.54301i | −0.136224 | + | 0.235947i | −0.926064 | − | 0.377366i | \(-0.876830\pi\) |
0.789840 | + | 0.613312i | \(0.210163\pi\) | |||||||
\(770\) | −5.18385 | − | 12.1919i | −0.186813 | − | 0.439364i | ||||
\(771\) | −17.3125 | + | 6.45844i | −0.623493 | + | 0.232595i | ||||
\(772\) | −18.2693 | + | 18.9643i | −0.657526 | + | 0.682540i | ||||
\(773\) | 20.1829i | 0.725928i | 0.931803 | + | 0.362964i | \(0.118235\pi\) | ||||
−0.931803 | + | 0.362964i | \(0.881765\pi\) | |||||||
\(774\) | 1.13887 | + | 1.69157i | 0.0409358 | + | 0.0608022i | ||||
\(775\) | 21.2346i | 0.762771i | ||||||||
\(776\) | −2.25977 | − | 14.1018i | −0.0811209 | − | 0.506225i | ||||
\(777\) | 3.38864 | − | 20.1591i | 0.121567 | − | 0.723205i | ||||
\(778\) | 42.2172 | − | 17.9503i | 1.51356 | − | 0.643550i | ||||
\(779\) | −6.77897 | + | 11.7415i | −0.242882 | + | 0.420683i | ||||
\(780\) | −13.3017 | + | 30.6319i | −0.476276 | + | 1.09680i | ||||
\(781\) | 1.12147 | + | 1.94245i | 0.0401295 | + | 0.0695064i | ||||
\(782\) | 22.9815 | + | 17.2960i | 0.821815 | + | 0.618502i | ||||
\(783\) | 5.91144 | − | 0.141818i | 0.211258 | − | 0.00506816i | ||||
\(784\) | 3.38705 | − | 2.12789i | 0.120966 | − | 0.0759959i | ||||
\(785\) | 53.1130 | − | 30.6648i | 1.89568 | − | 1.09447i | ||||
\(786\) | 0.643862 | + | 2.68337i | 0.0229658 | + | 0.0957125i | ||||
\(787\) | 3.41708 | + | 1.97285i | 0.121806 | + | 0.0703245i | 0.559665 | − | 0.828719i | \(-0.310930\pi\) |
−0.437859 | + | 0.899044i | \(0.644263\pi\) | |||||||
\(788\) | −3.39054 | + | 13.6692i | −0.120783 | + | 0.486945i | ||||
\(789\) | −38.7075 | − | 6.50652i | −1.37802 | − | 0.231638i | ||||
\(790\) | −79.3366 | − | 9.69255i | −2.82267 | − | 0.344845i | ||||
\(791\) | −5.26165 | −0.187083 | ||||||||
\(792\) | −17.7610 | + | 6.47160i | −0.631111 | + | 0.229958i | ||||
\(793\) | −10.7966 | −0.383398 | ||||||||
\(794\) | −36.0987 | − | 4.41018i | −1.28109 | − | 0.156511i | ||||
\(795\) | 11.7437 | + | 31.4801i | 0.416506 | + | 1.11648i | ||||
\(796\) | −1.28491 | + | 5.18021i | −0.0455425 | + | 0.183608i | ||||
\(797\) | 4.92647 | + | 2.84430i | 0.174505 | + | 0.100750i | 0.584708 | − | 0.811244i | \(-0.301209\pi\) |
−0.410204 | + | 0.911994i | \(0.634542\pi\) | |||||||
\(798\) | −11.5146 | − | 3.41235i | −0.407611 | − | 0.120796i | ||||
\(799\) | 9.55340 | − | 5.51566i | 0.337975 | − | 0.195130i | ||||
\(800\) | 6.03629 | − | 71.4870i | 0.213415 | − | 2.52745i | ||||
\(801\) | −36.4672 | + | 7.03316i | −1.28850 | + | 0.248505i | ||||
\(802\) | −13.9600 | − | 10.5064i | −0.492946 | − | 0.370994i | ||||
\(803\) | −5.73084 | − | 9.92610i | −0.202237 | − | 0.350285i | ||||
\(804\) | −45.6782 | + | 5.22657i | −1.61095 | + | 0.184327i | ||||
\(805\) | −11.4280 | + | 19.7939i | −0.402785 | + | 0.697644i | ||||
\(806\) | −4.99581 | + | 2.12417i | −0.175970 | + | 0.0748205i | ||||
\(807\) | 34.1939 | + | 28.2293i | 1.20368 | + | 0.993718i | ||||
\(808\) | −18.5220 | + | 2.96809i | −0.651601 | + | 0.104417i | ||||
\(809\) | 27.9065i | 0.981140i | 0.871402 | + | 0.490570i | \(0.163211\pi\) | ||||
−0.871402 | + | 0.490570i | \(0.836789\pi\) | |||||||
\(810\) | 51.6652 | + | 13.9722i | 1.81533 | + | 0.490933i | ||||
\(811\) | 2.79493i | 0.0981434i | 0.998795 | + | 0.0490717i | \(0.0156263\pi\) | ||||
−0.998795 | + | 0.0490717i | \(0.984374\pi\) | |||||||
\(812\) | 1.57904 | − | 1.63911i | 0.0554133 | − | 0.0575214i | ||||
\(813\) | −40.9382 | − | 33.7972i | −1.43577 | − | 1.18532i | ||||
\(814\) | 14.5494 | + | 34.2187i | 0.509957 | + | 1.19937i | ||||
\(815\) | 30.3139 | − | 52.5052i | 1.06185 | − | 1.83918i | ||||
\(816\) | −9.96119 | − | 23.9339i | −0.348711 | − | 0.837855i | ||||
\(817\) | −1.17828 | − | 2.04085i | −0.0412229 | − | 0.0714002i | ||||
\(818\) | 9.51005 | − | 12.6362i | 0.332511 | − | 0.441814i | ||||
\(819\) | −6.75332 | + | 1.30246i | −0.235980 | + | 0.0455118i | ||||
\(820\) | −6.43737 | − | 22.3476i | −0.224803 | − | 0.780412i | ||||
\(821\) | 48.0901 | − | 27.7648i | 1.67836 | − | 0.969000i | 0.715648 | − | 0.698461i | \(-0.246131\pi\) |
0.962709 | − | 0.270539i | \(-0.0872019\pi\) | |||||||
\(822\) | −2.85471 | + | 9.63288i | −0.0995694 | + | 0.335985i | ||||
\(823\) | −0.695088 | − | 0.401309i | −0.0242292 | − | 0.0139888i | 0.487836 | − | 0.872935i | \(-0.337786\pi\) |
−0.512066 | + | 0.858946i | \(0.671120\pi\) | |||||||
\(824\) | −6.35132 | − | 7.81416i | −0.221259 | − | 0.272219i | ||||
\(825\) | −17.1042 | − | 45.8494i | −0.595492 | − | 1.59627i | ||||
\(826\) | −0.385930 | + | 3.15896i | −0.0134282 | + | 0.109914i | ||||
\(827\) | −10.7060 | −0.372284 | −0.186142 | − | 0.982523i | \(-0.559598\pi\) | ||||
−0.186142 | + | 0.982523i | \(0.559598\pi\) | |||||||
\(828\) | 27.3467 | + | 17.7689i | 0.950363 | + | 0.617513i | ||||
\(829\) | 37.9248 | 1.31718 | 0.658591 | − | 0.752501i | \(-0.271153\pi\) | ||||
0.658591 | + | 0.752501i | \(0.271153\pi\) | |||||||
\(830\) | −9.60194 | + | 78.5949i | −0.333288 | + | 2.72807i | ||||
\(831\) | −12.3029 | − | 2.06805i | −0.426783 | − | 0.0717398i | ||||
\(832\) | 17.4224 | − | 5.73092i | 0.604012 | − | 0.198684i | ||||
\(833\) | 3.24051 | + | 1.87091i | 0.112277 | + | 0.0648231i | ||||
\(834\) | −13.5127 | + | 3.24232i | −0.467908 | + | 0.112272i | ||||
\(835\) | 1.74676 | − | 1.00849i | 0.0604493 | − | 0.0349004i | ||||
\(836\) | 20.9915 | − | 6.04674i | 0.726007 | − | 0.209131i | ||||
\(837\) | 4.52958 | + | 7.42814i | 0.156565 | + | 0.256754i | ||||
\(838\) | 27.3611 | − | 36.3552i | 0.945174 | − | 1.25587i | ||||
\(839\) | −3.18205 | − | 5.51147i | −0.109856 | − | 0.190277i | 0.805856 | − | 0.592112i | \(-0.201706\pi\) |
−0.915712 | + | 0.401835i | \(0.868372\pi\) | |||||||
\(840\) | 17.9186 | − | 10.1635i | 0.618250 | − | 0.350675i | ||||
\(841\) | −13.8525 | + | 23.9932i | −0.477672 | + | 0.827353i | ||||
\(842\) | −9.17925 | − | 21.5886i | −0.316338 | − | 0.743992i | ||||
\(843\) | 6.47038 | − | 38.4925i | 0.222852 | − | 1.32575i | ||||
\(844\) | −4.07291 | − | 3.92365i | −0.140195 | − | 0.135057i | ||||
\(845\) | 32.5638i | 1.12023i | ||||||||
\(846\) | 10.3754 | − | 6.98538i | 0.356715 | − | 0.240162i | ||||
\(847\) | − | 6.03700i | − | 0.207434i | ||||||
\(848\) | 8.62355 | − | 16.3137i | 0.296134 | − | 0.560216i | ||||
\(849\) | −30.9717 | + | 11.5540i | −1.06295 | + | 0.396533i | ||||
\(850\) | 61.7599 | − | 26.2597i | 2.11835 | − | 0.900699i | ||||
\(851\) | 32.0749 | − | 55.5553i | 1.09951 | − | 1.90441i | ||||
\(852\) | −2.80261 | + | 2.07590i | −0.0960158 | + | 0.0711192i | ||||
\(853\) | 9.54388 | + | 16.5305i | 0.326776 | + | 0.565993i | 0.981870 | − | 0.189554i | \(-0.0607043\pi\) |
−0.655094 | + | 0.755547i | \(0.727371\pi\) | |||||||
\(854\) | 5.32135 | + | 4.00487i | 0.182093 | + | 0.137044i | ||||
\(855\) | −58.4509 | − | 20.2220i | −1.99898 | − | 0.691576i | ||||
\(856\) | 13.3025 | + | 5.07863i | 0.454669 | + | 0.173584i | ||||
\(857\) | −11.8392 | + | 6.83538i | −0.404420 | + | 0.233492i | −0.688389 | − | 0.725341i | \(-0.741682\pi\) |
0.283969 | + | 0.958833i | \(0.408349\pi\) | |||||||
\(858\) | 9.07587 | − | 8.61051i | 0.309845 | − | 0.293958i | ||||
\(859\) | −23.5993 | − | 13.6251i | −0.805198 | − | 0.464881i | 0.0400874 | − | 0.999196i | \(-0.487236\pi\) |
−0.845286 | + | 0.534315i | \(0.820570\pi\) | |||||||
\(860\) | 3.92339 | + | 0.973167i | 0.133787 | + | 0.0331847i | ||||
\(861\) | 3.04929 | − | 3.69357i | 0.103919 | − | 0.125877i | ||||
\(862\) | −19.6533 | − | 2.40104i | −0.669393 | − | 0.0817798i | ||||
\(863\) | 30.3896 | 1.03447 | 0.517237 | − | 0.855842i | \(-0.326961\pi\) | ||||
0.517237 | + | 0.855842i | \(0.326961\pi\) | |||||||
\(864\) | −13.1374 | − | 26.2947i | −0.446943 | − | 0.894562i | ||||
\(865\) | 46.7078 | 1.58811 | ||||||||
\(866\) | 40.6708 | + | 4.96876i | 1.38205 | + | 0.168845i | ||||
\(867\) | −3.30677 | + | 4.00546i | −0.112304 | + | 0.136033i | ||||
\(868\) | 3.25024 | + | 0.806196i | 0.110320 | + | 0.0273641i | ||||
\(869\) | 25.9305 | + | 14.9710i | 0.879630 | + | 0.507855i | ||||
\(870\) | 8.50343 | − | 8.06742i | 0.288293 | − | 0.273511i | ||||
\(871\) | 26.3512 | − | 15.2139i | 0.892876 | − | 0.515502i | ||||
\(872\) | −12.6210 | − | 4.81847i | −0.427401 | − | 0.163174i | ||||
\(873\) | 11.4469 | − | 9.92127i | 0.387418 | − | 0.335784i | ||||
\(874\) | −30.1124 | − | 22.6628i | −1.01857 | − | 0.766580i | ||||
\(875\) | 16.1519 | + | 27.9759i | 0.546035 | + | 0.945760i | ||||
\(876\) | 14.3216 | − | 10.6080i | 0.483881 | − | 0.358413i | ||||
\(877\) | 3.44779 | − | 5.97175i | 0.116424 | − | 0.201652i | −0.801924 | − | 0.597426i | \(-0.796190\pi\) |
0.918348 | + | 0.395774i | \(0.129524\pi\) | |||||||
\(878\) | −39.5680 | + | 16.8239i | −1.33536 | + | 0.567779i | ||||
\(879\) | −11.1919 | + | 4.17513i | −0.377492 | + | 0.140824i | ||||
\(880\) | −17.5116 | + | 33.1278i | −0.590316 | + | 1.11674i | ||||
\(881\) | − | 4.57217i | − | 0.154040i | −0.997030 | − | 0.0770202i | \(-0.975459\pi\) | ||
0.997030 | − | 0.0770202i | \(-0.0245406\pi\) | |||||||
\(882\) | 3.81166 | + | 1.86312i | 0.128345 | + | 0.0627345i | ||||
\(883\) | 11.7784i | 0.396374i | 0.980164 | + | 0.198187i | \(0.0635053\pi\) | ||||
−0.980164 | + | 0.198187i | \(0.936495\pi\) | |||||||
\(884\) | 12.3561 | + | 11.9032i | 0.415580 | + | 0.400349i | ||||
\(885\) | −2.71693 | + | 16.1631i | −0.0913285 | + | 0.543316i | ||||
\(886\) | 12.1416 | + | 28.5558i | 0.407906 | + | 0.959352i | ||||
\(887\) | −4.62869 | + | 8.01713i | −0.155416 | + | 0.269189i | −0.933211 | − | 0.359330i | \(-0.883005\pi\) |
0.777794 | + | 0.628519i | \(0.216339\pi\) | |||||||
\(888\) | −50.2918 | + | 28.5258i | −1.68768 | + | 0.957264i | ||||
\(889\) | −4.10479 | − | 7.10971i | −0.137670 | − | 0.238452i | ||||
\(890\) | −44.2699 | + | 58.8222i | −1.48393 | + | 1.97172i | ||||
\(891\) | −15.7635 | − | 12.3902i | −0.528096 | − | 0.415087i | ||||
\(892\) | 11.9633 | − | 3.44612i | 0.400563 | − | 0.115385i | ||||
\(893\) | −12.5178 | + | 7.22713i | −0.418891 | + | 0.241847i | ||||
\(894\) | 38.3757 | − | 9.20808i | 1.28347 | − | 0.307964i | ||||
\(895\) | −69.1128 | − | 39.9023i | −2.31019 | − | 1.33379i | ||||
\(896\) | −10.7128 | − | 3.63801i | −0.357891 | − | 0.121537i | ||||
\(897\) | −21.2848 | − | 3.57786i | −0.710679 | − | 0.119461i | ||||
\(898\) | −3.62689 | + | 29.6873i | −0.121031 | + | 0.990677i | ||||
\(899\) | 1.90540 | 0.0635486 | ||||||||
\(900\) | 67.8083 | − | 34.5285i | 2.26028 | − | 1.15095i | ||||
\(901\) | 17.2617 | 0.575070 | ||||||||
\(902\) | −1.05652 | + | 8.64794i | −0.0351782 | + | 0.287945i | ||||
\(903\) | 0.290981 | + | 0.780002i | 0.00968323 | + | 0.0259568i | ||||
\(904\) | 9.38665 | + | 11.5486i | 0.312195 | + | 0.384101i | ||||
\(905\) | −44.0538 | − | 25.4345i | −1.46440 | − | 0.845470i | ||||
\(906\) | −8.93375 | + | 30.1459i | −0.296804 | + | 1.00153i | ||||
\(907\) | 24.9384 | − | 14.3982i | 0.828066 | − | 0.478084i | −0.0251243 | − | 0.999684i | \(-0.507998\pi\) |
0.853190 | + | 0.521600i | \(0.174665\pi\) | |||||||
\(908\) | −12.4612 | − | 43.2594i | −0.413538 | − | 1.43561i | ||||
\(909\) | −13.0311 | − | 15.0349i | −0.432213 | − | 0.498676i | ||||
\(910\) | −8.19829 | + | 10.8932i | −0.271771 | + | 0.361107i | ||||
\(911\) | 14.4485 | + | 25.0256i | 0.478701 | + | 0.829134i | 0.999702 | − | 0.0244220i | \(-0.00777453\pi\) |
−0.521001 | + | 0.853556i | \(0.674441\pi\) | |||||||
\(912\) | 13.0521 | + | 31.3605i | 0.432198 | + | 1.03845i | ||||
\(913\) | 14.8310 | − | 25.6881i | 0.490835 | − | 0.850151i | ||||
\(914\) | 15.0919 | + | 35.4945i | 0.499196 | + | 1.17405i | ||||
\(915\) | 26.4504 | + | 21.8366i | 0.874424 | + | 0.721895i | ||||
\(916\) | 28.7810 | − | 29.8759i | 0.950952 | − | 0.987129i | ||||
\(917\) | 1.12657i | 0.0372027i | ||||||||
\(918\) | 16.0029 | − | 22.3600i | 0.528175 | − | 0.737991i | ||||
\(919\) | − | 32.1365i | − | 1.06009i | −0.847971 | − | 0.530043i | \(-0.822176\pi\) | ||
0.847971 | − | 0.530043i | \(-0.177824\pi\) | |||||||
\(920\) | 63.8323 | − | 10.2289i | 2.10449 | − | 0.337238i | ||||
\(921\) | 31.7755 | + | 26.2328i | 1.04704 | + | 0.864399i | ||||
\(922\) | −32.9783 | + | 14.0220i | −1.08608 | + | 0.461790i | ||||
\(923\) | 1.15410 | − | 1.99896i | 0.0379877 | − | 0.0657966i | ||||
\(924\) | −7.66723 | + | 0.877295i | −0.252233 | + | 0.0288609i | ||||
\(925\) | −74.8388 | − | 129.625i | −2.46068 | − | 4.26203i | ||||
\(926\) | 9.37394 | + | 7.05488i | 0.308047 | + | 0.231838i | ||||
\(927\) | 3.49203 | − | 10.0936i | 0.114693 | − | 0.331518i | ||||
\(928\) | −6.41458 | − | 0.541641i | −0.210569 | − | 0.0177802i | ||||
\(929\) | 15.5033 | − | 8.95081i | 0.508645 | − | 0.293666i | −0.223631 | − | 0.974674i | \(-0.571791\pi\) |
0.732277 | + | 0.681007i | \(0.238458\pi\) | |||||||
\(930\) | 16.5354 | + | 4.90027i | 0.542217 | + | 0.160686i | ||||
\(931\) | −4.24602 | − | 2.45144i | −0.139158 | − | 0.0803427i | ||||
\(932\) | −2.08757 | + | 8.41621i | −0.0683808 | + | 0.275682i | ||||
\(933\) | −12.3537 | − | 33.1152i | −0.404440 | − | 1.08414i | ||||
\(934\) | −32.7284 | − | 3.99843i | −1.07091 | − | 0.130833i | ||||
\(935\) | −35.0528 | −1.14635 | ||||||||
\(936\) | 14.9065 | + | 12.4991i | 0.487234 | + | 0.408544i | ||||
\(937\) | 5.71581 | 0.186727 | 0.0933637 | − | 0.995632i | \(-0.470238\pi\) | ||||
0.0933637 | + | 0.995632i | \(0.470238\pi\) | |||||||
\(938\) | −18.6312 | − | 2.27617i | −0.608330 | − | 0.0743197i | ||||
\(939\) | 2.35930 | + | 0.396586i | 0.0769929 | + | 0.0129421i | ||||
\(940\) | 5.96903 | − | 24.0646i | 0.194688 | − | 0.784899i | ||||
\(941\) | 21.8244 | + | 12.6003i | 0.711454 | + | 0.410758i | 0.811599 | − | 0.584215i | \(-0.198597\pi\) |
−0.100145 | + | 0.994973i | \(0.531931\pi\) | |||||||
\(942\) | −8.33556 | − | 34.7394i | −0.271587 | − | 1.13187i | ||||
\(943\) | 13.0169 | − | 7.51529i | 0.423887 | − | 0.244731i | ||||
\(944\) | 7.62198 | − | 4.78845i | 0.248074 | − | 0.155851i | ||||
\(945\) | 19.1792 | + | 10.4680i | 0.623899 | + | 0.340524i | ||||
\(946\) | −1.20994 | − | 0.910605i | −0.0393384 | − | 0.0296063i | ||||
\(947\) | 20.3041 | + | 35.1677i | 0.659794 | + | 1.14280i | 0.980669 | + | 0.195675i | \(0.0626896\pi\) |
−0.320875 | + | 0.947121i | \(0.603977\pi\) | |||||||
\(948\) | −18.5446 | + | 42.7057i | −0.602302 | + | 1.38702i | ||||
\(949\) | −5.89756 | + | 10.2149i | −0.191443 | + | 0.331589i | ||||
\(950\) | −80.9236 | + | 34.4079i | −2.62551 | + | 1.11634i | ||||
\(951\) | 6.31017 | − | 37.5394i | 0.204621 | − | 1.21730i | ||||
\(952\) | −1.67460 | − | 10.4501i | −0.0542742 | − | 0.338691i | ||||
\(953\) | 7.17192i | 0.232321i | 0.993230 | + | 0.116161i | \(0.0370588\pi\) | ||||
−0.993230 | + | 0.116161i | \(0.962941\pi\) | |||||||
\(954\) | 19.5256 | − | 1.34854i | 0.632164 | − | 0.0436606i | ||||
\(955\) | 17.6266i | 0.570384i | ||||||||
\(956\) | 8.88119 | − | 9.21906i | 0.287238 | − | 0.298166i | ||||
\(957\) | −4.11410 | + | 1.53477i | −0.132990 | + | 0.0496121i | ||||
\(958\) | 13.4869 | + | 31.7196i | 0.435741 | + | 1.02482i | ||||
\(959\) | −2.05083 | + | 3.55214i | −0.0662248 | + | 0.114705i | ||||
\(960\) | −54.2739 | − | 21.1974i | −1.75168 | − | 0.684142i | ||||
\(961\) | −14.0983 | − | 24.4189i | −0.454782 | − | 0.787706i | ||||
\(962\) | 23.0100 | − | 30.5738i | 0.741873 | − | 0.985740i | ||||
\(963\) | 2.86004 | + | 14.8294i | 0.0921636 | + | 0.477871i | ||||
\(964\) | 3.98036 | + | 13.8180i | 0.128199 | + | 0.445047i | ||||
\(965\) | −47.9473 | + | 27.6824i | −1.54348 | + | 0.891128i | ||||
\(966\) | 9.16354 | + | 9.65879i | 0.294832 | + | 0.310767i | ||||
\(967\) | −20.7638 | − | 11.9880i | −0.667717 | − | 0.385507i | 0.127494 | − | 0.991839i | \(-0.459307\pi\) |
−0.795211 | + | 0.606333i | \(0.792640\pi\) | |||||||
\(968\) | −13.2504 | + | 10.7699i | −0.425883 | + | 0.346156i | ||||
\(969\) | −20.2297 | + | 24.5041i | −0.649872 | + | 0.787185i | ||||
\(970\) | 3.64138 | − | 29.8058i | 0.116918 | − | 0.957007i | ||||
\(971\) | 49.7729 | 1.59729 | 0.798645 | − | 0.601803i | \(-0.205551\pi\) | ||||
0.798645 | + | 0.601803i | \(0.205551\pi\) | |||||||
\(972\) | 16.3549 | − | 26.5428i | 0.524583 | − | 0.851360i | ||||
\(973\) | −5.67314 | −0.181872 | ||||||||
\(974\) | 3.30648 | − | 27.0646i | 0.105946 | − | 0.867204i | ||||
\(975\) | −32.0610 | + | 38.8352i | −1.02677 | + | 1.24372i | ||||
\(976\) | −0.703006 | − | 18.8242i | −0.0225027 | − | 0.602549i | ||||
\(977\) | −12.1846 | − | 7.03477i | −0.389819 | − | 0.225062i | 0.292263 | − | 0.956338i | \(-0.405592\pi\) |
−0.682082 | + | 0.731276i | \(0.738925\pi\) | |||||||
\(978\) | −24.3071 | − | 25.6208i | −0.777256 | − | 0.819263i | ||||
\(979\) | 23.8844 | − | 13.7897i | 0.763349 | − | 0.440720i | ||||
\(980\) | 8.08144 | − | 2.32791i | 0.258152 | − | 0.0743623i | ||||
\(981\) | −2.71353 | − | 14.0697i | −0.0866363 | − | 0.449212i | ||||
\(982\) | 9.91801 | − | 13.1782i | 0.316496 | − | 0.420534i | ||||
\(983\) | 13.3486 | + | 23.1205i | 0.425756 | + | 0.737430i | 0.996491 | − | 0.0837040i | \(-0.0266750\pi\) |
−0.570735 | + | 0.821134i | \(0.693342\pi\) | |||||||
\(984\) | −13.5468 | − | 0.103521i | −0.431855 | − | 0.00330014i | ||||
\(985\) | −14.8053 | + | 25.6435i | −0.471735 | + | 0.817070i | ||||
\(986\) | −2.35630 | − | 5.54176i | −0.0750399 | − | 0.176486i | ||||
\(987\) | 4.78423 | − | 1.78476i | 0.152284 | − | 0.0568096i | ||||
\(988\) | −16.1901 | − | 15.5967i | −0.515075 | − | 0.496198i | ||||
\(989\) | 2.61253i | 0.0830738i | ||||||||
\(990\) | −39.6500 | + | 2.73844i | −1.26016 | + | 0.0870335i | ||||
\(991\) | − | 0.190124i | − | 0.00603949i | −0.999995 | − | 0.00301974i | \(-0.999039\pi\) | ||
0.999995 | − | 0.00301974i | \(-0.000961215\pi\) | |||||||
\(992\) | −4.02885 | − | 8.57206i | −0.127916 | − | 0.272163i | ||||
\(993\) | 9.77357 | − | 58.1433i | 0.310155 | − | 1.84512i | ||||
\(994\) | −1.31032 | + | 0.557133i | −0.0415607 | + | 0.0176712i | ||||
\(995\) | −5.61075 | + | 9.71811i | −0.177873 | + | 0.308085i | ||||
\(996\) | 42.3065 | + | 18.3713i | 1.34053 | + | 0.582116i | ||||
\(997\) | −4.35056 | − | 7.53539i | −0.137784 | − | 0.238648i | 0.788874 | − | 0.614555i | \(-0.210665\pi\) |
−0.926657 | + | 0.375907i | \(0.877331\pi\) | |||||||
\(998\) | −10.2020 | − | 7.67808i | −0.322939 | − | 0.243045i | ||||
\(999\) | −53.8299 | − | 29.3804i | −1.70310 | − | 0.929553i |
(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 | 252.2.ba.a.239.2 | yes | 72 | |
3.2 | odd | 2 | 756.2.ba.a.71.35 | 72 | |||
4.3 | odd | 2 | inner | 252.2.ba.a.239.14 | yes | 72 | |
9.2 | odd | 6 | inner | 252.2.ba.a.155.14 | yes | 72 | |
9.7 | even | 3 | 756.2.ba.a.575.23 | 72 | |||
12.11 | even | 2 | 756.2.ba.a.71.23 | 72 | |||
36.7 | odd | 6 | 756.2.ba.a.575.35 | 72 | |||
36.11 | even | 6 | inner | 252.2.ba.a.155.2 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.ba.a.155.2 | ✓ | 72 | 36.11 | even | 6 | inner | |
252.2.ba.a.155.14 | yes | 72 | 9.2 | odd | 6 | inner | |
252.2.ba.a.239.2 | yes | 72 | 1.1 | even | 1 | trivial | |
252.2.ba.a.239.14 | yes | 72 | 4.3 | odd | 2 | inner | |
756.2.ba.a.71.23 | 72 | 12.11 | even | 2 | |||
756.2.ba.a.71.35 | 72 | 3.2 | odd | 2 | |||
756.2.ba.a.575.23 | 72 | 9.7 | even | 3 | |||
756.2.ba.a.575.35 | 72 | 36.7 | odd | 6 |