Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 267.4 | ||
Root | \(0.339278 - 0.0446668i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.267 |
Dual form | 370.2.q.e.273.4 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 0.465926 | − | 0.124844i | 0.269002 | − | 0.0720790i | −0.121796 | − | 0.992555i | \(-0.538865\pi\) |
0.390799 | + | 0.920476i | \(0.372199\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.0994727 | − | 2.23385i | −0.0444856 | − | 0.999010i | ||||
\(6\) | −0.341081 | − | 0.341081i | −0.139246 | − | 0.139246i | ||||
\(7\) | −4.54399 | + | 1.21756i | −1.71747 | + | 0.460193i | −0.977235 | − | 0.212160i | \(-0.931950\pi\) |
−0.740230 | + | 0.672354i | \(0.765283\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −2.39658 | + | 1.38366i | −0.798858 | + | 0.461221i | ||||
\(10\) | −1.88484 | + | 1.20307i | −0.596038 | + | 0.380445i | ||||
\(11\) | − | 1.91095i | − | 0.576173i | −0.957604 | − | 0.288087i | \(-0.906981\pi\) | ||
0.957604 | − | 0.288087i | \(-0.0930191\pi\) | |||||||
\(12\) | −0.124844 | + | 0.465926i | −0.0360395 | + | 0.134501i | ||||
\(13\) | −2.72701 | + | 4.72333i | −0.756338 | + | 1.31002i | 0.188369 | + | 0.982098i | \(0.439680\pi\) |
−0.944707 | + | 0.327917i | \(0.893653\pi\) | |||||||
\(14\) | 3.32643 | + | 3.32643i | 0.889025 | + | 0.889025i | ||||
\(15\) | −0.325231 | − | 1.02839i | −0.0839743 | − | 0.265530i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −0.281601 | + | 0.162582i | −0.0682982 | + | 0.0394320i | −0.533760 | − | 0.845636i | \(-0.679222\pi\) |
0.465462 | + | 0.885068i | \(0.345888\pi\) | |||||||
\(18\) | 2.39658 | + | 1.38366i | 0.564878 | + | 0.326133i | ||||
\(19\) | −1.07793 | − | 4.02290i | −0.247295 | − | 0.922917i | −0.972216 | − | 0.234085i | \(-0.924790\pi\) |
0.724921 | − | 0.688832i | \(-0.241876\pi\) | |||||||
\(20\) | 1.98431 | + | 1.03078i | 0.443705 | + | 0.230490i | ||||
\(21\) | −1.96515 | + | 1.13458i | −0.428832 | + | 0.247586i | ||||
\(22\) | −1.65493 | + | 0.955475i | −0.352833 | + | 0.203708i | ||||
\(23\) | 2.87357 | 0.599181 | 0.299590 | − | 0.954068i | \(-0.403150\pi\) | ||||
0.299590 | + | 0.954068i | \(0.403150\pi\) | |||||||
\(24\) | 0.465926 | − | 0.124844i | 0.0951067 | − | 0.0254838i | ||||
\(25\) | −4.98021 | + | 0.444415i | −0.996042 | + | 0.0888830i | ||||
\(26\) | 5.45403 | 1.06962 | ||||||||
\(27\) | −1.96713 | + | 1.96713i | −0.378574 | + | 0.378574i | ||||
\(28\) | 1.21756 | − | 4.54399i | 0.230097 | − | 0.858733i | ||||
\(29\) | −1.73064 | − | 1.73064i | −0.321372 | − | 0.321372i | 0.527921 | − | 0.849293i | \(-0.322972\pi\) |
−0.849293 | + | 0.527921i | \(0.822972\pi\) | |||||||
\(30\) | −0.727998 | + | 0.795854i | −0.132914 | + | 0.145302i | ||||
\(31\) | 2.83892 | − | 2.83892i | 0.509886 | − | 0.509886i | −0.404606 | − | 0.914491i | \(-0.632591\pi\) |
0.914491 | + | 0.404606i | \(0.132591\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −0.238572 | − | 0.890361i | −0.0415300 | − | 0.154992i | ||||
\(34\) | 0.281601 | + | 0.162582i | 0.0482941 | + | 0.0278826i | ||||
\(35\) | 3.17185 | + | 10.0295i | 0.536140 | + | 1.69529i | ||||
\(36\) | − | 2.76733i | − | 0.461221i | ||||||
\(37\) | −6.05437 | + | 0.586988i | −0.995333 | + | 0.0965003i | ||||
\(38\) | −2.94497 | + | 2.94497i | −0.477737 | + | 0.477737i | ||||
\(39\) | −0.680905 | + | 2.54117i | −0.109032 | + | 0.406913i | ||||
\(40\) | −0.0994727 | − | 2.23385i | −0.0157280 | − | 0.353203i | ||||
\(41\) | −10.4672 | − | 6.04322i | −1.63470 | − | 0.943792i | −0.982618 | − | 0.185640i | \(-0.940564\pi\) |
−0.652078 | − | 0.758152i | \(-0.726103\pi\) | |||||||
\(42\) | 1.96515 | + | 1.13458i | 0.303230 | + | 0.175070i | ||||
\(43\) | 2.45934 | 0.375045 | 0.187523 | − | 0.982260i | \(-0.439954\pi\) | ||||
0.187523 | + | 0.982260i | \(0.439954\pi\) | |||||||
\(44\) | 1.65493 | + | 0.955475i | 0.249490 | + | 0.144043i | ||||
\(45\) | 3.32930 | + | 5.21596i | 0.496302 | + | 0.777550i | ||||
\(46\) | −1.43679 | − | 2.48858i | −0.211842 | − | 0.366922i | ||||
\(47\) | 8.46521 | + | 8.46521i | 1.23478 | + | 1.23478i | 0.962108 | + | 0.272670i | \(0.0879068\pi\) |
0.272670 | + | 0.962108i | \(0.412093\pi\) | |||||||
\(48\) | −0.341081 | − | 0.341081i | −0.0492309 | − | 0.0492309i | ||||
\(49\) | 13.1032 | − | 7.56512i | 1.87188 | − | 1.08073i | ||||
\(50\) | 2.87498 | + | 4.09078i | 0.406584 | + | 0.578524i | ||||
\(51\) | −0.110908 | + | 0.110908i | −0.0155302 | + | 0.0155302i | ||||
\(52\) | −2.72701 | − | 4.72333i | −0.378169 | − | 0.655008i | ||||
\(53\) | −8.97931 | − | 2.40600i | −1.23340 | − | 0.330489i | −0.417499 | − | 0.908677i | \(-0.637093\pi\) |
−0.815904 | + | 0.578188i | \(0.803760\pi\) | |||||||
\(54\) | 2.68715 | + | 0.720019i | 0.365674 | + | 0.0979821i | ||||
\(55\) | −4.26879 | + | 0.190087i | −0.575603 | + | 0.0256314i | ||||
\(56\) | −4.54399 | + | 1.21756i | −0.607216 | + | 0.162703i | ||||
\(57\) | −1.00447 | − | 1.73980i | −0.133046 | − | 0.230442i | ||||
\(58\) | −0.633459 | + | 2.36410i | −0.0831772 | + | 0.310422i | ||||
\(59\) | −4.67260 | − | 1.25202i | −0.608320 | − | 0.162999i | −0.0585077 | − | 0.998287i | \(-0.518634\pi\) |
−0.549813 | + | 0.835288i | \(0.685301\pi\) | |||||||
\(60\) | 1.05323 | + | 0.232537i | 0.135971 | + | 0.0300204i | ||||
\(61\) | 2.59133 | + | 9.67096i | 0.331785 | + | 1.23824i | 0.907312 | + | 0.420457i | \(0.138130\pi\) |
−0.575527 | + | 0.817783i | \(0.695203\pi\) | |||||||
\(62\) | −3.87804 | − | 1.03912i | −0.492512 | − | 0.131968i | ||||
\(63\) | 9.20531 | − | 9.20531i | 1.15976 | − | 1.15976i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 10.8225 | + | 5.62191i | 1.34236 | + | 0.697312i | ||||
\(66\) | −0.651790 | + | 0.651790i | −0.0802298 | + | 0.0802298i | ||||
\(67\) | −2.17645 | − | 8.12261i | −0.265895 | − | 0.992335i | −0.961700 | − | 0.274104i | \(-0.911619\pi\) |
0.695805 | − | 0.718231i | \(-0.255048\pi\) | |||||||
\(68\) | − | 0.325164i | − | 0.0394320i | ||||||
\(69\) | 1.33887 | − | 0.358749i | 0.161181 | − | 0.0431883i | ||||
\(70\) | 7.09987 | − | 7.76164i | 0.848596 | − | 0.927694i | ||||
\(71\) | 6.64478 | − | 11.5091i | 0.788591 | − | 1.36588i | −0.138240 | − | 0.990399i | \(-0.544145\pi\) |
0.926830 | − | 0.375480i | \(-0.122522\pi\) | |||||||
\(72\) | −2.39658 | + | 1.38366i | −0.282439 | + | 0.163066i | ||||
\(73\) | −5.52677 | − | 5.52677i | −0.646860 | − | 0.646860i | 0.305373 | − | 0.952233i | \(-0.401219\pi\) |
−0.952233 | + | 0.305373i | \(0.901219\pi\) | |||||||
\(74\) | 3.53553 | + | 4.94975i | 0.410997 | + | 0.575396i | ||||
\(75\) | −2.26493 | + | 0.828816i | −0.261531 | + | 0.0957034i | ||||
\(76\) | 4.02290 | + | 1.07793i | 0.461459 | + | 0.123647i | ||||
\(77\) | 2.32669 | + | 8.68333i | 0.265151 | + | 0.989558i | ||||
\(78\) | 2.54117 | − | 0.680905i | 0.287731 | − | 0.0770973i | ||||
\(79\) | 2.31420 | + | 8.63670i | 0.260367 | + | 0.971704i | 0.965025 | + | 0.262157i | \(0.0844339\pi\) |
−0.704658 | + | 0.709547i | \(0.748899\pi\) | |||||||
\(80\) | −1.88484 | + | 1.20307i | −0.210731 | + | 0.134508i | ||||
\(81\) | 3.48004 | − | 6.02761i | 0.386671 | − | 0.669734i | ||||
\(82\) | 12.0864i | 1.33472i | ||||||||
\(83\) | 1.07135 | + | 0.287067i | 0.117596 | + | 0.0315097i | 0.317137 | − | 0.948380i | \(-0.397278\pi\) |
−0.199541 | + | 0.979889i | \(0.563945\pi\) | |||||||
\(84\) | − | 2.26917i | − | 0.247586i | ||||||
\(85\) | 0.391197 | + | 0.612882i | 0.0424312 | + | 0.0664764i | ||||
\(86\) | −1.22967 | − | 2.12985i | −0.132598 | − | 0.229667i | ||||
\(87\) | −1.02241 | − | 0.590290i | −0.109614 | − | 0.0632857i | ||||
\(88\) | − | 1.91095i | − | 0.203708i | ||||||
\(89\) | 0.363814 | − | 1.35777i | 0.0385642 | − | 0.143924i | −0.943959 | − | 0.330062i | \(-0.892930\pi\) |
0.982524 | + | 0.186138i | \(0.0595972\pi\) | |||||||
\(90\) | 2.85251 | − | 5.49124i | 0.300681 | − | 0.578827i | ||||
\(91\) | 6.64059 | − | 24.7830i | 0.696123 | − | 2.59797i | ||||
\(92\) | −1.43679 | + | 2.48858i | −0.149795 | + | 0.259453i | ||||
\(93\) | 0.968304 | − | 1.67715i | 0.100408 | − | 0.173913i | ||||
\(94\) | 3.09848 | − | 11.5637i | 0.319584 | − | 1.19270i | ||||
\(95\) | −8.87935 | + | 2.80812i | −0.911003 | + | 0.288107i | ||||
\(96\) | −0.124844 | + | 0.465926i | −0.0127419 | + | 0.0475534i | ||||
\(97\) | − | 7.73607i | − | 0.785479i | −0.919650 | − | 0.392739i | \(-0.871527\pi\) | ||
0.919650 | − | 0.392739i | \(-0.128473\pi\) | |||||||
\(98\) | −13.1032 | − | 7.56512i | −1.32362 | − | 0.764193i | ||||
\(99\) | 2.64411 | + | 4.57974i | 0.265743 | + | 0.460281i | ||||
\(100\) | 2.10523 | − | 4.53520i | 0.210523 | − | 0.453520i | ||||
\(101\) | − | 2.99759i | − | 0.298272i | −0.988817 | − | 0.149136i | \(-0.952351\pi\) | ||
0.988817 | − | 0.149136i | \(-0.0476492\pi\) | |||||||
\(102\) | 0.151502 | + | 0.0405950i | 0.0150010 | + | 0.00401950i | ||||
\(103\) | − | 12.2297i | − | 1.20503i | −0.798109 | − | 0.602513i | \(-0.794166\pi\) | ||
0.798109 | − | 0.602513i | \(-0.205834\pi\) | |||||||
\(104\) | −2.72701 | + | 4.72333i | −0.267406 | + | 0.463160i | ||||
\(105\) | 2.72997 | + | 4.27701i | 0.266418 | + | 0.417393i | ||||
\(106\) | 2.40600 | + | 8.97931i | 0.233691 | + | 0.872148i | ||||
\(107\) | −9.02595 | + | 2.41850i | −0.872571 | + | 0.233805i | −0.667199 | − | 0.744879i | \(-0.732507\pi\) |
−0.205372 | + | 0.978684i | \(0.565840\pi\) | |||||||
\(108\) | −0.720019 | − | 2.68715i | −0.0692838 | − | 0.258571i | ||||
\(109\) | −3.19987 | − | 0.857402i | −0.306492 | − | 0.0821242i | 0.102295 | − | 0.994754i | \(-0.467381\pi\) |
−0.408787 | + | 0.912630i | \(0.634048\pi\) | |||||||
\(110\) | 2.29901 | + | 3.60183i | 0.219202 | + | 0.343421i | ||||
\(111\) | −2.74761 | + | 1.02935i | −0.260791 | + | 0.0977014i | ||||
\(112\) | 3.32643 | + | 3.32643i | 0.314318 | + | 0.314318i | ||||
\(113\) | −6.56880 | + | 3.79250i | −0.617940 | + | 0.356768i | −0.776067 | − | 0.630651i | \(-0.782788\pi\) |
0.158126 | + | 0.987419i | \(0.449455\pi\) | |||||||
\(114\) | −1.00447 | + | 1.73980i | −0.0940776 | + | 0.162947i | ||||
\(115\) | −0.285842 | − | 6.41914i | −0.0266549 | − | 0.598588i | ||||
\(116\) | 2.36410 | − | 0.633459i | 0.219501 | − | 0.0588152i | ||||
\(117\) | − | 15.0931i | − | 1.39536i | ||||||
\(118\) | 1.25202 | + | 4.67260i | 0.115258 | + | 0.430147i | ||||
\(119\) | 1.08164 | − | 1.08164i | 0.0991534 | − | 0.0991534i | ||||
\(120\) | −0.325231 | − | 1.02839i | −0.0296894 | − | 0.0938789i | ||||
\(121\) | 7.34827 | 0.668024 | ||||||||
\(122\) | 7.07964 | − | 7.07964i | 0.640960 | − | 0.640960i | ||||
\(123\) | −5.63138 | − | 1.50892i | −0.507765 | − | 0.136055i | ||||
\(124\) | 1.03912 | + | 3.87804i | 0.0933156 | + | 0.348258i | ||||
\(125\) | 1.48815 | + | 11.0809i | 0.133105 | + | 0.991102i | ||||
\(126\) | −12.5747 | − | 3.36938i | −1.12024 | − | 0.300168i | ||||
\(127\) | −1.51178 | + | 5.64206i | −0.134149 | + | 0.500652i | 0.865851 | + | 0.500302i | \(0.166778\pi\) |
−1.00000 | 0.000349241i | \(0.999889\pi\) | ||||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 1.14587 | − | 0.307034i | 0.100888 | − | 0.0270329i | ||||
\(130\) | −0.542527 | − | 12.1835i | −0.0475828 | − | 1.06856i | ||||
\(131\) | 6.23376 | + | 1.67033i | 0.544646 | + | 0.145938i | 0.520643 | − | 0.853774i | \(-0.325692\pi\) |
0.0240031 | + | 0.999712i | \(0.492359\pi\) | |||||||
\(132\) | 0.890361 | + | 0.238572i | 0.0774960 | + | 0.0207650i | ||||
\(133\) | 9.79623 | + | 16.9676i | 0.849441 | + | 1.47127i | ||||
\(134\) | −5.94617 | + | 5.94617i | −0.513671 | + | 0.513671i | ||||
\(135\) | 4.58995 | + | 4.19860i | 0.395040 | + | 0.361358i | ||||
\(136\) | −0.281601 | + | 0.162582i | −0.0241471 | + | 0.0139413i | ||||
\(137\) | 10.8117 | + | 10.8117i | 0.923708 | + | 0.923708i | 0.997289 | − | 0.0735809i | \(-0.0234427\pi\) |
−0.0735809 | + | 0.997289i | \(0.523443\pi\) | |||||||
\(138\) | −0.980121 | − | 0.980121i | −0.0834335 | − | 0.0834335i | ||||
\(139\) | −1.53525 | − | 2.65913i | −0.130218 | − | 0.225544i | 0.793543 | − | 0.608515i | \(-0.208234\pi\) |
−0.923761 | + | 0.382971i | \(0.874901\pi\) | |||||||
\(140\) | −10.2717 | − | 2.26784i | −0.868118 | − | 0.191668i | ||||
\(141\) | 5.00099 | + | 2.88733i | 0.421160 | + | 0.243157i | ||||
\(142\) | −13.2896 | −1.11524 | ||||||||
\(143\) | 9.02605 | + | 5.21119i | 0.754796 | + | 0.435782i | ||||
\(144\) | 2.39658 | + | 1.38366i | 0.199715 | + | 0.115305i | ||||
\(145\) | −3.69385 | + | 4.03815i | −0.306757 | + | 0.335350i | ||||
\(146\) | −2.02294 | + | 7.54971i | −0.167420 | + | 0.624819i | ||||
\(147\) | 5.16065 | − | 5.16065i | 0.425643 | − | 0.425643i | ||||
\(148\) | 2.51884 | − | 5.53674i | 0.207047 | − | 0.455117i | ||||
\(149\) | 23.7300i | 1.94404i | 0.234897 | + | 0.972020i | \(0.424525\pi\) | ||||
−0.234897 | + | 0.972020i | \(0.575475\pi\) | |||||||
\(150\) | 1.85024 | + | 1.54708i | 0.151071 | + | 0.126318i | ||||
\(151\) | 11.9781 | + | 6.91554i | 0.974761 | + | 0.562779i | 0.900684 | − | 0.434474i | \(-0.143066\pi\) |
0.0740769 | + | 0.997253i | \(0.476399\pi\) | |||||||
\(152\) | −1.07793 | − | 4.02290i | −0.0874320 | − | 0.326301i | ||||
\(153\) | 0.449918 | − | 0.779281i | 0.0363737 | − | 0.0630011i | ||||
\(154\) | 6.35664 | − | 6.35664i | 0.512233 | − | 0.512233i | ||||
\(155\) | −6.62414 | − | 6.05935i | −0.532064 | − | 0.486698i | ||||
\(156\) | −1.86027 | − | 1.86027i | −0.148941 | − | 0.148941i | ||||
\(157\) | −1.71166 | + | 6.38801i | −0.136606 | + | 0.509819i | 0.863381 | + | 0.504553i | \(0.168343\pi\) |
−0.999986 | + | 0.00526573i | \(0.998324\pi\) | |||||||
\(158\) | 6.32250 | − | 6.32250i | 0.502991 | − | 0.502991i | ||||
\(159\) | −4.48407 | −0.355610 | ||||||||
\(160\) | 1.98431 | + | 1.03078i | 0.156874 | + | 0.0814904i | ||||
\(161\) | −13.0575 | + | 3.49874i | −1.02907 | + | 0.275739i | ||||
\(162\) | −6.96008 | −0.546835 | ||||||||
\(163\) | −17.5264 | + | 10.1189i | −1.37277 | + | 0.792571i | −0.991276 | − | 0.131800i | \(-0.957924\pi\) |
−0.381496 | + | 0.924370i | \(0.624591\pi\) | |||||||
\(164\) | 10.4672 | − | 6.04322i | 0.817348 | − | 0.471896i | ||||
\(165\) | −1.96521 | + | 0.621501i | −0.152991 | + | 0.0483838i | ||||
\(166\) | −0.287067 | − | 1.07135i | −0.0222807 | − | 0.0831528i | ||||
\(167\) | −0.225059 | − | 0.129938i | −0.0174156 | − | 0.0100549i | 0.491267 | − | 0.871009i | \(-0.336534\pi\) |
−0.508683 | + | 0.860954i | \(0.669867\pi\) | |||||||
\(168\) | −1.96515 | + | 1.13458i | −0.151615 | + | 0.0875350i | ||||
\(169\) | −8.37321 | − | 14.5028i | −0.644093 | − | 1.11560i | ||||
\(170\) | 0.335173 | − | 0.645227i | 0.0257066 | − | 0.0494867i | ||||
\(171\) | 8.14969 | + | 8.14969i | 0.623223 | + | 0.623223i | ||||
\(172\) | −1.22967 | + | 2.12985i | −0.0937613 | + | 0.162399i | ||||
\(173\) | −0.240624 | + | 0.898022i | −0.0182943 | + | 0.0682754i | −0.974470 | − | 0.224520i | \(-0.927919\pi\) |
0.956175 | + | 0.292795i | \(0.0945854\pi\) | |||||||
\(174\) | 1.18058i | 0.0894995i | ||||||||
\(175\) | 22.0889 | − | 8.08311i | 1.66976 | − | 0.611025i | ||||
\(176\) | −1.65493 | + | 0.955475i | −0.124745 | + | 0.0720217i | ||||
\(177\) | −2.33339 | −0.175388 | ||||||||
\(178\) | −1.35777 | + | 0.363814i | −0.101769 | + | 0.0272690i | ||||
\(179\) | 2.22094 | + | 2.22094i | 0.166001 | + | 0.166001i | 0.785219 | − | 0.619218i | \(-0.212550\pi\) |
−0.619218 | + | 0.785219i | \(0.712550\pi\) | |||||||
\(180\) | −6.18181 | + | 0.275274i | −0.460765 | + | 0.0205177i | ||||
\(181\) | −5.70435 | + | 9.88022i | −0.424001 | + | 0.734391i | −0.996327 | − | 0.0856353i | \(-0.972708\pi\) |
0.572326 | + | 0.820026i | \(0.306041\pi\) | |||||||
\(182\) | −24.7830 | + | 6.64059i | −1.83704 | + | 0.492233i | ||||
\(183\) | 2.41473 | + | 4.18244i | 0.178502 | + | 0.309175i | ||||
\(184\) | 2.87357 | 0.211842 | ||||||||
\(185\) | 1.91349 | + | 13.4662i | 0.140683 | + | 0.990055i | ||||
\(186\) | −1.93661 | −0.141999 | ||||||||
\(187\) | 0.310687 | + | 0.538125i | 0.0227197 | + | 0.0393516i | ||||
\(188\) | −11.5637 | + | 3.09848i | −0.843369 | + | 0.225980i | ||||
\(189\) | 6.54351 | − | 11.3337i | 0.475970 | − | 0.824405i | ||||
\(190\) | 6.87158 | + | 6.28569i | 0.498517 | + | 0.456012i | ||||
\(191\) | 8.98072 | + | 8.98072i | 0.649822 | + | 0.649822i | 0.952950 | − | 0.303128i | \(-0.0980309\pi\) |
−0.303128 | + | 0.952950i | \(0.598031\pi\) | |||||||
\(192\) | 0.465926 | − | 0.124844i | 0.0336253 | − | 0.00900987i | ||||
\(193\) | −21.5361 | −1.55020 | −0.775102 | − | 0.631837i | \(-0.782301\pi\) | ||||
−0.775102 | + | 0.631837i | \(0.782301\pi\) | |||||||
\(194\) | −6.69963 | + | 3.86803i | −0.481005 | + | 0.277709i | ||||
\(195\) | 5.74434 | + | 1.26827i | 0.411361 | + | 0.0908224i | ||||
\(196\) | 15.1302i | 1.08073i | ||||||||
\(197\) | 4.62766 | − | 17.2707i | 0.329707 | − | 1.23048i | −0.579787 | − | 0.814768i | \(-0.696864\pi\) |
0.909494 | − | 0.415717i | \(-0.136469\pi\) | |||||||
\(198\) | 2.64411 | − | 4.57974i | 0.187909 | − | 0.325468i | ||||
\(199\) | −11.0205 | − | 11.0205i | −0.781222 | − | 0.781222i | 0.198815 | − | 0.980037i | \(-0.436291\pi\) |
−0.980037 | + | 0.198815i | \(0.936291\pi\) | |||||||
\(200\) | −4.98021 | + | 0.444415i | −0.352154 | + | 0.0314249i | ||||
\(201\) | −2.02813 | − | 3.51282i | −0.143053 | − | 0.247775i | ||||
\(202\) | −2.59599 | + | 1.49880i | −0.182653 | + | 0.105455i | ||||
\(203\) | 9.97116 | + | 5.75685i | 0.699839 | + | 0.404052i | ||||
\(204\) | −0.0405950 | − | 0.151502i | −0.00284222 | − | 0.0106073i | ||||
\(205\) | −12.4585 | + | 23.9832i | −0.870137 | + | 1.67506i | ||||
\(206\) | −10.5912 | + | 6.11483i | −0.737924 | + | 0.426041i | ||||
\(207\) | −6.88673 | + | 3.97605i | −0.478661 | + | 0.276355i | ||||
\(208\) | 5.45403 | 0.378169 | ||||||||
\(209\) | −7.68757 | + | 2.05988i | −0.531760 | + | 0.142485i | ||||
\(210\) | 2.33901 | − | 4.50273i | 0.161407 | − | 0.310718i | ||||
\(211\) | −18.9690 | −1.30588 | −0.652940 | − | 0.757410i | \(-0.726465\pi\) | ||||
−0.652940 | + | 0.757410i | \(0.726465\pi\) | |||||||
\(212\) | 6.57331 | − | 6.57331i | 0.451457 | − | 0.451457i | ||||
\(213\) | 1.65913 | − | 6.19195i | 0.113682 | − | 0.424265i | ||||
\(214\) | 6.60745 | + | 6.60745i | 0.451676 | + | 0.451676i | ||||
\(215\) | −0.244637 | − | 5.49380i | −0.0166841 | − | 0.374674i | ||||
\(216\) | −1.96713 | + | 1.96713i | −0.133846 | + | 0.133846i | ||||
\(217\) | −9.44348 | + | 16.3566i | −0.641065 | + | 1.11036i | ||||
\(218\) | 0.857402 | + | 3.19987i | 0.0580706 | + | 0.216722i | ||||
\(219\) | −3.26505 | − | 1.88508i | −0.220632 | − | 0.127382i | ||||
\(220\) | 1.96977 | − | 3.79192i | 0.132802 | − | 0.255651i | ||||
\(221\) | − | 1.77346i | − | 0.119296i | ||||||
\(222\) | 2.26525 | + | 1.86482i | 0.152033 | + | 0.125159i | ||||
\(223\) | 2.14486 | − | 2.14486i | 0.143631 | − | 0.143631i | −0.631635 | − | 0.775266i | \(-0.717616\pi\) |
0.775266 | + | 0.631635i | \(0.217616\pi\) | |||||||
\(224\) | 1.21756 | − | 4.54399i | 0.0813515 | − | 0.303608i | ||||
\(225\) | 11.3205 | − | 7.95601i | 0.754702 | − | 0.530401i | ||||
\(226\) | 6.56880 | + | 3.79250i | 0.436950 | + | 0.252273i | ||||
\(227\) | −10.1843 | − | 5.87992i | −0.675957 | − | 0.390264i | 0.122373 | − | 0.992484i | \(-0.460950\pi\) |
−0.798330 | + | 0.602220i | \(0.794283\pi\) | |||||||
\(228\) | 2.00895 | 0.133046 | ||||||||
\(229\) | −11.9595 | − | 6.90484i | −0.790308 | − | 0.456285i | 0.0497627 | − | 0.998761i | \(-0.484154\pi\) |
−0.840071 | + | 0.542476i | \(0.817487\pi\) | |||||||
\(230\) | −5.41622 | + | 3.45712i | −0.357135 | + | 0.227955i | ||||
\(231\) | 2.16813 | + | 3.75531i | 0.142653 | + | 0.247082i | ||||
\(232\) | −1.73064 | − | 1.73064i | −0.113622 | − | 0.113622i | ||||
\(233\) | 6.84816 | + | 6.84816i | 0.448638 | + | 0.448638i | 0.894901 | − | 0.446264i | \(-0.147246\pi\) |
−0.446264 | + | 0.894901i | \(0.647246\pi\) | |||||||
\(234\) | −13.0710 | + | 7.54654i | −0.854477 | + | 0.493333i | ||||
\(235\) | 18.0680 | − | 19.7521i | 1.17863 | − | 1.28849i | ||||
\(236\) | 3.42058 | − | 3.42058i | 0.222661 | − | 0.222661i | ||||
\(237\) | 2.15649 | + | 3.73515i | 0.140079 | + | 0.242624i | ||||
\(238\) | −1.47754 | − | 0.395906i | −0.0957748 | − | 0.0256628i | ||||
\(239\) | −9.81663 | − | 2.63036i | −0.634985 | − | 0.170144i | −0.0730543 | − | 0.997328i | \(-0.523275\pi\) |
−0.561931 | + | 0.827184i | \(0.689941\pi\) | |||||||
\(240\) | −0.727998 | + | 0.795854i | −0.0469921 | + | 0.0513722i | ||||
\(241\) | −23.3607 | + | 6.25949i | −1.50480 | + | 0.403209i | −0.914704 | − | 0.404126i | \(-0.867576\pi\) |
−0.590094 | + | 0.807335i | \(0.700909\pi\) | |||||||
\(242\) | −3.67413 | − | 6.36379i | −0.236182 | − | 0.409080i | ||||
\(243\) | 3.02898 | − | 11.3043i | 0.194309 | − | 0.725173i | ||||
\(244\) | −9.67096 | − | 2.59133i | −0.619120 | − | 0.165893i | ||||
\(245\) | −18.2028 | − | 28.5181i | −1.16293 | − | 1.82195i | ||||
\(246\) | 1.50892 | + | 5.63138i | 0.0962055 | + | 0.359044i | ||||
\(247\) | 21.9410 | + | 5.87908i | 1.39607 | + | 0.374077i | ||||
\(248\) | 2.83892 | − | 2.83892i | 0.180272 | − | 0.180272i | ||||
\(249\) | 0.535008 | 0.0339048 | ||||||||
\(250\) | 8.85223 | − | 6.82921i | 0.559864 | − | 0.431917i | ||||
\(251\) | −3.97203 | + | 3.97203i | −0.250712 | + | 0.250712i | −0.821263 | − | 0.570551i | \(-0.806730\pi\) |
0.570551 | + | 0.821263i | \(0.306730\pi\) | |||||||
\(252\) | 3.36938 | + | 12.5747i | 0.212251 | + | 0.792131i | ||||
\(253\) | − | 5.49125i | − | 0.345232i | ||||||
\(254\) | 5.64206 | − | 1.51178i | 0.354014 | − | 0.0948578i | ||||
\(255\) | 0.258784 | + | 0.236719i | 0.0162057 | + | 0.0148239i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 4.30715 | − | 2.48674i | 0.268673 | − | 0.155118i | −0.359612 | − | 0.933102i | \(-0.617091\pi\) |
0.628284 | + | 0.777984i | \(0.283757\pi\) | |||||||
\(258\) | −0.838834 | − | 0.838834i | −0.0522235 | − | 0.0522235i | ||||
\(259\) | 26.7963 | − | 10.0388i | 1.66504 | − | 0.623782i | ||||
\(260\) | −10.2800 | + | 6.56159i | −0.637536 | + | 0.406933i | ||||
\(261\) | 6.54224 | + | 1.75299i | 0.404954 | + | 0.108507i | ||||
\(262\) | −1.67033 | − | 6.23376i | −0.103193 | − | 0.385123i | ||||
\(263\) | 2.62382 | − | 0.703051i | 0.161792 | − | 0.0433520i | −0.177014 | − | 0.984208i | \(-0.556644\pi\) |
0.338806 | + | 0.940856i | \(0.389977\pi\) | |||||||
\(264\) | −0.238572 | − | 0.890361i | −0.0146831 | − | 0.0547980i | ||||
\(265\) | −4.48145 | + | 20.2978i | −0.275294 | + | 1.24688i | ||||
\(266\) | 9.79623 | − | 16.9676i | 0.600645 | − | 1.04035i | ||||
\(267\) | − | 0.678041i | − | 0.0414955i | ||||||
\(268\) | 8.12261 | + | 2.17645i | 0.496168 | + | 0.132948i | ||||
\(269\) | 0.875890i | 0.0534040i | 0.999643 | + | 0.0267020i | \(0.00850052\pi\) | ||||
−0.999643 | + | 0.0267020i | \(0.991499\pi\) | |||||||
\(270\) | 1.34112 | − | 6.07432i | 0.0816179 | − | 0.369671i | ||||
\(271\) | 1.36060 | + | 2.35662i | 0.0826503 | + | 0.143155i | 0.904388 | − | 0.426712i | \(-0.140328\pi\) |
−0.821737 | + | 0.569867i | \(0.806995\pi\) | |||||||
\(272\) | 0.281601 | + | 0.162582i | 0.0170745 | + | 0.00985799i | ||||
\(273\) | − | 12.3761i | − | 0.749035i | ||||||
\(274\) | 3.95737 | − | 14.7691i | 0.239073 | − | 0.892234i | ||||
\(275\) | 0.849255 | + | 9.51694i | 0.0512120 | + | 0.573893i | ||||
\(276\) | −0.358749 | + | 1.33887i | −0.0215942 | + | 0.0805905i | ||||
\(277\) | 10.6283 | − | 18.4088i | 0.638595 | − | 1.10608i | −0.347146 | − | 0.937811i | \(-0.612849\pi\) |
0.985741 | − | 0.168268i | \(-0.0538175\pi\) | |||||||
\(278\) | −1.53525 | + | 2.65913i | −0.0920780 | + | 0.159484i | ||||
\(279\) | −2.87558 | + | 10.7318i | −0.172156 | + | 0.642497i | ||||
\(280\) | 3.17185 | + | 10.0295i | 0.189554 | + | 0.599377i | ||||
\(281\) | 0.709898 | − | 2.64937i | 0.0423490 | − | 0.158048i | −0.941513 | − | 0.336976i | \(-0.890596\pi\) |
0.983862 | + | 0.178927i | \(0.0572627\pi\) | |||||||
\(282\) | − | 5.77465i | − | 0.343875i | ||||||
\(283\) | 1.59801 | + | 0.922612i | 0.0949919 | + | 0.0548436i | 0.546743 | − | 0.837300i | \(-0.315867\pi\) |
−0.451752 | + | 0.892144i | \(0.649201\pi\) | |||||||
\(284\) | 6.64478 | + | 11.5091i | 0.394295 | + | 0.682939i | ||||
\(285\) | −3.78654 | + | 2.41691i | −0.224295 | + | 0.143165i | ||||
\(286\) | − | 10.4224i | − | 0.616288i | ||||||
\(287\) | 54.9206 | + | 14.7159i | 3.24186 | + | 0.868654i | ||||
\(288\) | − | 2.76733i | − | 0.163066i | ||||||
\(289\) | −8.44713 | + | 14.6309i | −0.496890 | + | 0.860639i | ||||
\(290\) | 5.34407 | + | 1.17989i | 0.313814 | + | 0.0692856i | ||||
\(291\) | −0.965805 | − | 3.60443i | −0.0566165 | − | 0.211296i | ||||
\(292\) | 7.54971 | − | 2.02294i | 0.441813 | − | 0.118384i | ||||
\(293\) | −0.856934 | − | 3.19812i | −0.0500626 | − | 0.186836i | 0.936366 | − | 0.351024i | \(-0.114166\pi\) |
−0.986429 | + | 0.164188i | \(0.947500\pi\) | |||||||
\(294\) | −7.04957 | − | 1.88893i | −0.411139 | − | 0.110164i | ||||
\(295\) | −2.33203 | + | 10.5624i | −0.135776 | + | 0.614969i | ||||
\(296\) | −6.05437 | + | 0.586988i | −0.351903 | + | 0.0341180i | ||||
\(297\) | 3.75908 | + | 3.75908i | 0.218124 | + | 0.218124i | ||||
\(298\) | 20.5508 | − | 11.8650i | 1.19048 | − | 0.687322i | ||||
\(299\) | −7.83627 | + | 13.5728i | −0.453183 | + | 0.784936i | ||||
\(300\) | 0.414687 | − | 2.37589i | 0.0239420 | − | 0.137172i | ||||
\(301\) | −11.1752 | + | 2.99438i | −0.644127 | + | 0.172593i | ||||
\(302\) | − | 13.8311i | − | 0.795889i | ||||||
\(303\) | −0.374233 | − | 1.39666i | −0.0214991 | − | 0.0802358i | ||||
\(304\) | −2.94497 | + | 2.94497i | −0.168906 | + | 0.168906i | ||||
\(305\) | 21.3458 | − | 6.75064i | 1.22225 | − | 0.386541i | ||||
\(306\) | −0.899836 | −0.0514402 | ||||||||
\(307\) | 22.9767 | − | 22.9767i | 1.31135 | − | 1.31135i | 0.390933 | − | 0.920419i | \(-0.372152\pi\) |
0.920419 | − | 0.390933i | \(-0.127848\pi\) | |||||||
\(308\) | −8.68333 | − | 2.32669i | −0.494779 | − | 0.132576i | ||||
\(309\) | −1.52681 | − | 5.69812i | −0.0868570 | − | 0.324155i | ||||
\(310\) | −1.93548 | + | 8.76635i | −0.109928 | + | 0.497895i | ||||
\(311\) | −7.89651 | − | 2.11586i | −0.447770 | − | 0.119980i | 0.0278858 | − | 0.999611i | \(-0.491123\pi\) |
−0.475656 | + | 0.879632i | \(0.657789\pi\) | |||||||
\(312\) | −0.680905 | + | 2.54117i | −0.0385487 | + | 0.143866i | ||||
\(313\) | 16.6518 | + | 28.8417i | 0.941214 | + | 1.63023i | 0.763160 | + | 0.646209i | \(0.223647\pi\) |
0.178054 | + | 0.984021i | \(0.443020\pi\) | |||||||
\(314\) | 6.38801 | − | 1.71166i | 0.360497 | − | 0.0965948i | ||||
\(315\) | −21.4790 | − | 19.6477i | −1.21021 | − | 1.10702i | ||||
\(316\) | −8.63670 | − | 2.31420i | −0.485852 | − | 0.130184i | ||||
\(317\) | 2.80328 | + | 0.751135i | 0.157448 | + | 0.0421880i | 0.336682 | − | 0.941618i | \(-0.390695\pi\) |
−0.179234 | + | 0.983806i | \(0.557362\pi\) | |||||||
\(318\) | 2.24203 | + | 3.88332i | 0.125727 | + | 0.217766i | ||||
\(319\) | −3.30717 | + | 3.30717i | −0.185166 | + | 0.185166i | ||||
\(320\) | −0.0994727 | − | 2.23385i | −0.00556069 | − | 0.124876i | ||||
\(321\) | −3.90349 | + | 2.25368i | −0.217871 | + | 0.125788i | ||||
\(322\) | 9.55873 | + | 9.55873i | 0.532687 | + | 0.532687i | ||||
\(323\) | 0.957599 | + | 0.957599i | 0.0532822 | + | 0.0532822i | ||||
\(324\) | 3.48004 | + | 6.02761i | 0.193336 | + | 0.334867i | ||||
\(325\) | 11.4820 | − | 24.7351i | 0.636906 | − | 1.37206i | ||||
\(326\) | 17.5264 | + | 10.1189i | 0.970697 | + | 0.560432i | ||||
\(327\) | −1.59794 | −0.0883664 | ||||||||
\(328\) | −10.4672 | − | 6.04322i | −0.577952 | − | 0.333681i | ||||
\(329\) | −48.7727 | − | 28.1589i | −2.68892 | − | 1.55245i | ||||
\(330\) | 1.52084 | + | 1.39117i | 0.0837194 | + | 0.0765813i | ||||
\(331\) | 7.63989 | − | 28.5124i | 0.419926 | − | 1.56719i | −0.354833 | − | 0.934930i | \(-0.615462\pi\) |
0.774760 | − | 0.632256i | \(-0.217871\pi\) | |||||||
\(332\) | −0.784282 | + | 0.784282i | −0.0430431 | + | 0.0430431i | ||||
\(333\) | 13.6976 | − | 9.78398i | 0.750622 | − | 0.536159i | ||||
\(334\) | 0.259876i | 0.0142198i | ||||||||
\(335\) | −17.9282 | + | 5.66985i | −0.979524 | + | 0.309777i | ||||
\(336\) | 1.96515 | + | 1.13458i | 0.107208 | + | 0.0618966i | ||||
\(337\) | 1.88042 | + | 7.01784i | 0.102433 | + | 0.382286i | 0.998041 | − | 0.0625579i | \(-0.0199258\pi\) |
−0.895608 | + | 0.444844i | \(0.853259\pi\) | |||||||
\(338\) | −8.37321 | + | 14.5028i | −0.455443 | + | 0.788850i | ||||
\(339\) | −2.58710 | + | 2.58710i | −0.140512 | + | 0.140512i | ||||
\(340\) | −0.726370 | + | 0.0323450i | −0.0393929 | + | 0.00175415i | ||||
\(341\) | −5.42504 | − | 5.42504i | −0.293783 | − | 0.293783i | ||||
\(342\) | 2.98299 | − | 11.1327i | 0.161302 | − | 0.601987i | ||||
\(343\) | −27.0447 | + | 27.0447i | −1.46028 | + | 1.46028i | ||||
\(344\) | 2.45934 | 0.132598 | ||||||||
\(345\) | −0.934575 | − | 2.95516i | −0.0503158 | − | 0.159100i | ||||
\(346\) | 0.898022 | − | 0.240624i | 0.0482780 | − | 0.0129360i | ||||
\(347\) | −32.3909 | −1.73884 | −0.869418 | − | 0.494077i | \(-0.835506\pi\) | ||||
−0.869418 | + | 0.494077i | \(0.835506\pi\) | |||||||
\(348\) | 1.02241 | − | 0.590290i | 0.0548070 | − | 0.0316428i | ||||
\(349\) | −12.2807 | + | 7.09028i | −0.657372 | + | 0.379534i | −0.791275 | − | 0.611461i | \(-0.790582\pi\) |
0.133903 | + | 0.990994i | \(0.457249\pi\) | |||||||
\(350\) | −18.0446 | − | 15.0880i | −0.964526 | − | 0.806487i | ||||
\(351\) | −3.92700 | − | 14.6558i | −0.209608 | − | 0.782267i | ||||
\(352\) | 1.65493 | + | 0.955475i | 0.0882082 | + | 0.0509270i | ||||
\(353\) | 23.7720 | − | 13.7248i | 1.26526 | − | 0.730497i | 0.291171 | − | 0.956671i | \(-0.405955\pi\) |
0.974087 | + | 0.226174i | \(0.0726217\pi\) | |||||||
\(354\) | 1.16670 | + | 2.02078i | 0.0620092 | + | 0.107403i | ||||
\(355\) | −26.3706 | − | 13.6986i | −1.39961 | − | 0.727048i | ||||
\(356\) | 0.993958 | + | 0.993958i | 0.0526797 | + | 0.0526797i | ||||
\(357\) | 0.368926 | − | 0.638998i | 0.0195256 | − | 0.0338194i | ||||
\(358\) | 0.812920 | − | 3.03386i | 0.0429641 | − | 0.160344i | ||||
\(359\) | − | 5.73798i | − | 0.302839i | −0.988470 | − | 0.151420i | \(-0.951616\pi\) | ||
0.988470 | − | 0.151420i | \(-0.0483844\pi\) | |||||||
\(360\) | 3.32930 | + | 5.21596i | 0.175469 | + | 0.274905i | ||||
\(361\) | 1.43267 | − | 0.827155i | 0.0754039 | − | 0.0435345i | ||||
\(362\) | 11.4087 | 0.599628 | ||||||||
\(363\) | 3.42375 | − | 0.917390i | 0.179700 | − | 0.0481505i | ||||
\(364\) | 18.1424 | + | 18.1424i | 0.950922 | + | 0.950922i | ||||
\(365\) | −11.7962 | + | 12.8958i | −0.617443 | + | 0.674995i | ||||
\(366\) | 2.41473 | − | 4.18244i | 0.126220 | − | 0.218620i | ||||
\(367\) | −34.6305 | + | 9.27922i | −1.80770 | + | 0.484371i | −0.995137 | − | 0.0985034i | \(-0.968594\pi\) |
−0.812562 | + | 0.582875i | \(0.801928\pi\) | |||||||
\(368\) | −1.43679 | − | 2.48858i | −0.0748976 | − | 0.129726i | ||||
\(369\) | 33.4471 | 1.74119 | ||||||||
\(370\) | 10.7053 | − | 8.39023i | 0.556543 | − | 0.436187i | ||||
\(371\) | 43.7313 | 2.27042 | ||||||||
\(372\) | 0.968304 | + | 1.67715i | 0.0502042 | + | 0.0869563i | ||||
\(373\) | −10.4103 | + | 2.78944i | −0.539027 | + | 0.144432i | −0.518054 | − | 0.855348i | \(-0.673343\pi\) |
−0.0209735 | + | 0.999780i | \(0.506677\pi\) | |||||||
\(374\) | 0.310687 | − | 0.538125i | 0.0160652 | − | 0.0278258i | ||||
\(375\) | 2.07675 | + | 4.97707i | 0.107243 | + | 0.257015i | ||||
\(376\) | 8.46521 | + | 8.46521i | 0.436560 | + | 0.436560i | ||||
\(377\) | 12.8939 | − | 3.45490i | 0.664068 | − | 0.177937i | ||||
\(378\) | −13.0870 | −0.673124 | ||||||||
\(379\) | −3.24154 | + | 1.87150i | −0.166507 | + | 0.0961326i | −0.580938 | − | 0.813948i | \(-0.697314\pi\) |
0.414431 | + | 0.910081i | \(0.363981\pi\) | |||||||
\(380\) | 2.00778 | − | 9.09380i | 0.102997 | − | 0.466502i | ||||
\(381\) | 2.81752i | 0.144346i | ||||||||
\(382\) | 3.28717 | − | 12.2679i | 0.168186 | − | 0.627680i | ||||
\(383\) | −15.0051 | + | 25.9896i | −0.766726 | + | 1.32801i | 0.172603 | + | 0.984992i | \(0.444782\pi\) |
−0.939329 | + | 0.343017i | \(0.888551\pi\) | |||||||
\(384\) | −0.341081 | − | 0.341081i | −0.0174057 | − | 0.0174057i | ||||
\(385\) | 19.1659 | − | 6.06125i | 0.976783 | − | 0.308910i | ||||
\(386\) | 10.7681 | + | 18.6508i | 0.548080 | + | 0.949302i | ||||
\(387\) | −5.89398 | + | 3.40289i | −0.299608 | + | 0.172979i | ||||
\(388\) | 6.69963 | + | 3.86803i | 0.340122 | + | 0.196370i | ||||
\(389\) | −3.39248 | − | 12.6609i | −0.172005 | − | 0.641933i | −0.997042 | − | 0.0768540i | \(-0.975512\pi\) |
0.825037 | − | 0.565079i | \(-0.191154\pi\) | |||||||
\(390\) | −1.77382 | − | 5.60888i | −0.0898209 | − | 0.284017i | ||||
\(391\) | −0.809199 | + | 0.467191i | −0.0409230 | + | 0.0236269i | ||||
\(392\) | 13.1032 | − | 7.56512i | 0.661810 | − | 0.382096i | ||||
\(393\) | 3.11300 | 0.157030 | ||||||||
\(394\) | −17.2707 | + | 4.62766i | −0.870084 | + | 0.233138i | ||||
\(395\) | 19.0629 | − | 6.02869i | 0.959160 | − | 0.303336i | ||||
\(396\) | −5.28823 | −0.265743 | ||||||||
\(397\) | 20.7980 | − | 20.7980i | 1.04382 | − | 1.04382i | 0.0448253 | − | 0.998995i | \(-0.485727\pi\) |
0.998995 | − | 0.0448253i | \(-0.0142731\pi\) | |||||||
\(398\) | −4.03378 | + | 15.0543i | −0.202195 | + | 0.754602i | ||||
\(399\) | 6.68262 | + | 6.68262i | 0.334550 | + | 0.334550i | ||||
\(400\) | 2.87498 | + | 4.09078i | 0.143749 | + | 0.204539i | ||||
\(401\) | 16.1162 | − | 16.1162i | 0.804805 | − | 0.804805i | −0.179038 | − | 0.983842i | \(-0.557298\pi\) |
0.983842 | + | 0.179038i | \(0.0572984\pi\) | |||||||
\(402\) | −2.02813 | + | 3.51282i | −0.101154 | + | 0.175203i | ||||
\(403\) | 5.66738 | + | 21.1510i | 0.282312 | + | 1.05360i | ||||
\(404\) | 2.59599 | + | 1.49880i | 0.129155 | + | 0.0745679i | ||||
\(405\) | −13.8110 | − | 7.17432i | −0.686272 | − | 0.356495i | ||||
\(406\) | − | 11.5137i | − | 0.571416i | ||||||
\(407\) | 1.12171 | + | 11.5696i | 0.0556009 | + | 0.573484i | ||||
\(408\) | −0.110908 | + | 0.110908i | −0.00549074 | + | 0.00549074i | ||||
\(409\) | 4.05950 | − | 15.1503i | 0.200730 | − | 0.749133i | −0.789979 | − | 0.613134i | \(-0.789909\pi\) |
0.990709 | − | 0.136000i | \(-0.0434246\pi\) | |||||||
\(410\) | 26.9993 | − | 1.20227i | 1.33340 | − | 0.0593759i | ||||
\(411\) | 6.38725 | + | 3.68768i | 0.315060 | + | 0.181900i | ||||
\(412\) | 10.5912 | + | 6.11483i | 0.521791 | + | 0.301256i | ||||
\(413\) | 22.7566 | 1.11978 | ||||||||
\(414\) | 6.88673 | + | 3.97605i | 0.338464 | + | 0.195412i | ||||
\(415\) | 0.534696 | − | 2.42179i | 0.0262472 | − | 0.118881i | ||||
\(416\) | −2.72701 | − | 4.72333i | −0.133703 | − | 0.231580i | ||||
\(417\) | −1.04729 | − | 1.04729i | −0.0512859 | − | 0.0512859i | ||||
\(418\) | 5.62769 | + | 5.62769i | 0.275259 | + | 0.275259i | ||||
\(419\) | 27.4386 | − | 15.8417i | 1.34046 | − | 0.773916i | 0.353588 | − | 0.935401i | \(-0.384962\pi\) |
0.986875 | + | 0.161485i | \(0.0516283\pi\) | |||||||
\(420\) | −5.06898 | + | 0.225720i | −0.247341 | + | 0.0110140i | ||||
\(421\) | −11.4598 | + | 11.4598i | −0.558516 | + | 0.558516i | −0.928885 | − | 0.370369i | \(-0.879231\pi\) |
0.370369 | + | 0.928885i | \(0.379231\pi\) | |||||||
\(422\) | 9.48450 | + | 16.4276i | 0.461698 | + | 0.799685i | ||||
\(423\) | −32.0005 | − | 8.57451i | −1.55592 | − | 0.416907i | ||||
\(424\) | −8.97931 | − | 2.40600i | −0.436074 | − | 0.116846i | ||||
\(425\) | 1.33018 | − | 0.934841i | 0.0645230 | − | 0.0453465i | ||||
\(426\) | −6.19195 | + | 1.65913i | −0.300001 | + | 0.0803850i | ||||
\(427\) | −23.5499 | − | 40.7896i | −1.13966 | − | 1.97395i | ||||
\(428\) | 2.41850 | − | 9.02595i | 0.116902 | − | 0.436286i | ||||
\(429\) | 4.85606 | + | 1.30118i | 0.234453 | + | 0.0628214i | ||||
\(430\) | −4.63545 | + | 2.95876i | −0.223541 | + | 0.142684i | ||||
\(431\) | 5.09414 | + | 19.0116i | 0.245376 | + | 0.915756i | 0.973194 | + | 0.229986i | \(0.0738680\pi\) |
−0.727818 | + | 0.685771i | \(0.759465\pi\) | |||||||
\(432\) | 2.68715 | + | 0.720019i | 0.129285 | + | 0.0346419i | ||||
\(433\) | 4.81336 | − | 4.81336i | 0.231315 | − | 0.231315i | −0.581926 | − | 0.813242i | \(-0.697701\pi\) |
0.813242 | + | 0.581926i | \(0.197701\pi\) | |||||||
\(434\) | 18.8870 | 0.906603 | ||||||||
\(435\) | −1.21692 | + | 2.34264i | −0.0583468 | + | 0.112321i | ||||
\(436\) | 2.34246 | − | 2.34246i | 0.112184 | − | 0.112184i | ||||
\(437\) | −3.09752 | − | 11.5601i | −0.148174 | − | 0.552994i | ||||
\(438\) | 3.77016i | 0.180145i | ||||||||
\(439\) | −17.1646 | + | 4.59924i | −0.819221 | + | 0.219510i | −0.644006 | − | 0.765020i | \(-0.722729\pi\) |
−0.175215 | + | 0.984530i | \(0.556062\pi\) | |||||||
\(440\) | −4.26879 | + | 0.190087i | −0.203506 | + | 0.00906206i | ||||
\(441\) | −20.9352 | + | 36.2608i | −0.996913 | + | 1.72670i | ||||
\(442\) | −1.53586 | + | 0.886728i | −0.0730533 | + | 0.0421773i | ||||
\(443\) | 4.32917 | + | 4.32917i | 0.205685 | + | 0.205685i | 0.802431 | − | 0.596745i | \(-0.203540\pi\) |
−0.596745 | + | 0.802431i | \(0.703540\pi\) | |||||||
\(444\) | 0.482362 | − | 2.89417i | 0.0228919 | − | 0.137351i | ||||
\(445\) | −3.06925 | − | 0.677646i | −0.145497 | − | 0.0321235i | ||||
\(446\) | −2.92994 | − | 0.785075i | −0.138737 | − | 0.0371744i | ||||
\(447\) | 2.96256 | + | 11.0564i | 0.140124 | + | 0.522952i | ||||
\(448\) | −4.54399 | + | 1.21756i | −0.214683 | + | 0.0575242i | ||||
\(449\) | 2.31024 | + | 8.62193i | 0.109027 | + | 0.406894i | 0.998771 | − | 0.0495659i | \(-0.0157838\pi\) |
−0.889744 | + | 0.456460i | \(0.849117\pi\) | |||||||
\(450\) | −12.5504 | − | 5.82586i | −0.591630 | − | 0.274634i | ||||
\(451\) | −11.5483 | + | 20.0022i | −0.543788 | + | 0.941868i | ||||
\(452\) | − | 7.58499i | − | 0.356768i | ||||||
\(453\) | 6.44426 | + | 1.72673i | 0.302778 | + | 0.0811290i | ||||
\(454\) | 11.7598i | 0.551917i | ||||||||
\(455\) | −56.0222 | − | 12.3689i | −2.62636 | − | 0.579862i | ||||
\(456\) | −1.00447 | − | 1.73980i | −0.0470388 | − | 0.0814736i | ||||
\(457\) | −8.25284 | − | 4.76478i | −0.386052 | − | 0.222887i | 0.294396 | − | 0.955683i | \(-0.404881\pi\) |
−0.680448 | + | 0.732796i | \(0.738215\pi\) | |||||||
\(458\) | 13.8097i | 0.645284i | ||||||||
\(459\) | 0.234124 | − | 0.873764i | 0.0109280 | − | 0.0407838i | ||||
\(460\) | 5.70206 | + | 2.96202i | 0.265860 | + | 0.138105i | ||||
\(461\) | −2.78931 | + | 10.4099i | −0.129911 | + | 0.484836i | −0.999967 | − | 0.00811777i | \(-0.997416\pi\) |
0.870056 | + | 0.492953i | \(0.164083\pi\) | |||||||
\(462\) | 2.16813 | − | 3.75531i | 0.100871 | − | 0.174713i | ||||
\(463\) | −7.44658 | + | 12.8979i | −0.346072 | + | 0.599414i | −0.985548 | − | 0.169397i | \(-0.945818\pi\) |
0.639476 | + | 0.768811i | \(0.279151\pi\) | |||||||
\(464\) | −0.633459 | + | 2.36410i | −0.0294076 | + | 0.109751i | ||||
\(465\) | −3.84283 | − | 1.99622i | −0.178207 | − | 0.0925725i | ||||
\(466\) | 2.50660 | − | 9.35476i | 0.116116 | − | 0.433351i | ||||
\(467\) | − | 14.9484i | − | 0.691729i | −0.938284 | − | 0.345864i | \(-0.887586\pi\) | ||
0.938284 | − | 0.345864i | \(-0.112414\pi\) | |||||||
\(468\) | 13.0710 | + | 7.54654i | 0.604207 | + | 0.348839i | ||||
\(469\) | 19.7795 | + | 34.2591i | 0.913332 | + | 1.58194i | ||||
\(470\) | −26.1398 | − | 5.77128i | −1.20574 | − | 0.266210i | ||||
\(471\) | 3.19003i | 0.146989i | ||||||||
\(472\) | −4.67260 | − | 1.25202i | −0.215074 | − | 0.0576288i | ||||
\(473\) | − | 4.69967i | − | 0.216091i | ||||||
\(474\) | 2.15649 | − | 3.73515i | 0.0990508 | − | 0.171561i | ||||
\(475\) | 7.15618 | + | 19.5559i | 0.328348 | + | 0.897284i | ||||
\(476\) | 0.395906 | + | 1.47754i | 0.0181463 | + | 0.0677230i | ||||
\(477\) | 24.8487 | − | 6.65819i | 1.13774 | − | 0.304857i | ||||
\(478\) | 2.63036 | + | 9.81663i | 0.120310 | + | 0.449002i | ||||
\(479\) | 11.7479 | + | 3.14783i | 0.536774 | + | 0.143828i | 0.517015 | − | 0.855977i | \(-0.327043\pi\) |
0.0197595 | + | 0.999805i | \(0.493710\pi\) | |||||||
\(480\) | 1.05323 | + | 0.232537i | 0.0480731 | + | 0.0106138i | ||||
\(481\) | 13.7378 | − | 30.1975i | 0.626391 | − | 1.37689i | ||||
\(482\) | 17.1012 | + | 17.1012i | 0.778940 | + | 0.778940i | ||||
\(483\) | −5.64701 | + | 3.26030i | −0.256948 | + | 0.148349i | ||||
\(484\) | −3.67413 | + | 6.36379i | −0.167006 | + | 0.289263i | ||||
\(485\) | −17.2812 | + | 0.769528i | −0.784701 | + | 0.0349425i | ||||
\(486\) | −11.3043 | + | 3.02898i | −0.512774 | + | 0.137397i | ||||
\(487\) | − | 21.2624i | − | 0.963492i | −0.876311 | − | 0.481746i | \(-0.840003\pi\) | ||
0.876311 | − | 0.481746i | \(-0.159997\pi\) | |||||||
\(488\) | 2.59133 | + | 9.67096i | 0.117304 | + | 0.437784i | ||||
\(489\) | −6.90271 | + | 6.90271i | −0.312151 | + | 0.312151i | ||||
\(490\) | −15.5960 | + | 30.0231i | −0.704554 | + | 1.35631i | ||||
\(491\) | −23.6185 | −1.06589 | −0.532945 | − | 0.846150i | \(-0.678915\pi\) | ||||
−0.532945 | + | 0.846150i | \(0.678915\pi\) | |||||||
\(492\) | 4.12246 | − | 4.12246i | 0.185855 | − | 0.185855i | ||||
\(493\) | 0.768721 | + | 0.205978i | 0.0346215 | + | 0.00927679i | ||||
\(494\) | −5.87908 | − | 21.9410i | −0.264512 | − | 0.987174i | ||||
\(495\) | 9.96745 | − | 6.36212i | 0.448004 | − | 0.285956i | ||||
\(496\) | −3.87804 | − | 1.03912i | −0.174129 | − | 0.0466578i | ||||
\(497\) | −16.1808 | + | 60.3876i | −0.725808 | + | 2.70875i | ||||
\(498\) | −0.267504 | − | 0.463331i | −0.0119871 | − | 0.0207623i | ||||
\(499\) | 29.3919 | − | 7.87554i | 1.31576 | − | 0.352558i | 0.468374 | − | 0.883530i | \(-0.344840\pi\) |
0.847389 | + | 0.530973i | \(0.178173\pi\) | |||||||
\(500\) | −10.3404 | − | 4.25165i | −0.462436 | − | 0.190140i | ||||
\(501\) | −0.121083 | − | 0.0324441i | −0.00540959 | − | 0.00144949i | ||||
\(502\) | 5.42589 | + | 1.45386i | 0.242169 | + | 0.0648890i | ||||
\(503\) | −14.4145 | − | 24.9667i | −0.642711 | − | 1.11321i | −0.984825 | − | 0.173550i | \(-0.944476\pi\) |
0.342114 | − | 0.939659i | \(-0.388857\pi\) | |||||||
\(504\) | 9.20531 | − | 9.20531i | 0.410037 | − | 0.410037i | ||||
\(505\) | −6.69618 | + | 0.298179i | −0.297976 | + | 0.0132688i | ||||
\(506\) | −4.75556 | + | 2.74563i | −0.211411 | + | 0.122058i | ||||
\(507\) | −5.71189 | − | 5.71189i | −0.253674 | − | 0.253674i | ||||
\(508\) | −4.13027 | − | 4.13027i | −0.183251 | − | 0.183251i | ||||
\(509\) | −9.59508 | − | 16.6192i | −0.425294 | − | 0.736632i | 0.571153 | − | 0.820843i | \(-0.306496\pi\) |
−0.996448 | + | 0.0842118i | \(0.973163\pi\) | |||||||
\(510\) | 0.0756129 | − | 0.342473i | 0.00334819 | − | 0.0151649i | ||||
\(511\) | 31.8427 | + | 18.3844i | 1.40864 | + | 0.813278i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 10.0340 | + | 5.79313i | 0.443012 | + | 0.255773i | ||||
\(514\) | −4.30715 | − | 2.48674i | −0.189980 | − | 0.109685i | ||||
\(515\) | −27.3193 | + | 1.21652i | −1.20383 | + | 0.0536062i | ||||
\(516\) | −0.307034 | + | 1.14587i | −0.0135164 | + | 0.0504440i | ||||
\(517\) | 16.1766 | − | 16.1766i | 0.711446 | − | 0.711446i | ||||
\(518\) | −22.0920 | − | 18.1869i | −0.970667 | − | 0.799085i | ||||
\(519\) | 0.448452i | 0.0196849i | ||||||||
\(520\) | 10.8225 | + | 5.62191i | 0.474598 | + | 0.246537i | ||||
\(521\) | −18.0440 | − | 10.4177i | −0.790523 | − | 0.456409i | 0.0496237 | − | 0.998768i | \(-0.484198\pi\) |
−0.840147 | + | 0.542359i | \(0.817531\pi\) | |||||||
\(522\) | −1.75299 | − | 6.54224i | −0.0767262 | − | 0.286346i | ||||
\(523\) | 1.03668 | − | 1.79558i | 0.0453307 | − | 0.0785150i | −0.842470 | − | 0.538744i | \(-0.818899\pi\) |
0.887800 | + | 0.460229i | \(0.152233\pi\) | |||||||
\(524\) | −4.56343 | + | 4.56343i | −0.199354 | + | 0.199354i | ||||
\(525\) | 9.28266 | − | 6.52381i | 0.405128 | − | 0.284722i | ||||
\(526\) | −1.92077 | − | 1.92077i | −0.0837496 | − | 0.0837496i | ||||
\(527\) | −0.337884 | + | 1.26100i | −0.0147185 | + | 0.0549301i | ||||
\(528\) | −0.651790 | + | 0.651790i | −0.0283655 | + | 0.0283655i | ||||
\(529\) | −14.7426 | −0.640982 | ||||||||
\(530\) | 19.8191 | − | 6.26785i | 0.860888 | − | 0.272258i | ||||
\(531\) | 12.9306 | − | 3.46475i | 0.561140 | − | 0.150357i | ||||
\(532\) | −19.5925 | −0.849441 | ||||||||
\(533\) | 57.0882 | − | 32.9599i | 2.47276 | − | 1.42765i | ||||
\(534\) | −0.587201 | + | 0.339021i | −0.0254107 | + | 0.0146709i | ||||
\(535\) | 6.30040 | + | 19.9221i | 0.272390 | + | 0.861307i | ||||
\(536\) | −2.17645 | − | 8.12261i | −0.0940082 | − | 0.350844i | ||||
\(537\) | 1.31206 | + | 0.757521i | 0.0566198 | + | 0.0326894i | ||||
\(538\) | 0.758543 | − | 0.437945i | 0.0327031 | − | 0.0188812i | ||||
\(539\) | −14.4566 | − | 25.0395i | −0.622689 | − | 1.07853i | ||||
\(540\) | −5.93107 | + | 1.87571i | −0.255233 | + | 0.0807179i | ||||
\(541\) | 1.38201 | + | 1.38201i | 0.0594171 | + | 0.0594171i | 0.736191 | − | 0.676774i | \(-0.236623\pi\) |
−0.676774 | + | 0.736191i | \(0.736623\pi\) | |||||||
\(542\) | 1.36060 | − | 2.35662i | 0.0584426 | − | 0.101226i | ||||
\(543\) | −1.42431 | + | 5.31561i | −0.0611231 | + | 0.228115i | ||||
\(544\) | − | 0.325164i | − | 0.0139413i | ||||||
\(545\) | −1.59701 | + | 7.23332i | −0.0684084 | + | 0.309842i | ||||
\(546\) | −10.7180 | + | 6.18805i | −0.458689 | + | 0.264824i | ||||
\(547\) | −27.3892 | −1.17108 | −0.585540 | − | 0.810644i | \(-0.699117\pi\) | ||||
−0.585540 | + | 0.810644i | \(0.699117\pi\) | |||||||
\(548\) | −14.7691 | + | 3.95737i | −0.630905 | + | 0.169050i | ||||
\(549\) | −19.5917 | − | 19.5917i | −0.836152 | − | 0.836152i | ||||
\(550\) | 7.81728 | − | 5.49395i | 0.333330 | − | 0.234263i | ||||
\(551\) | −5.09669 | + | 8.82772i | −0.217126 | + | 0.376073i | ||||
\(552\) | 1.33887 | − | 0.358749i | 0.0569861 | − | 0.0152694i | ||||
\(553\) | −21.0313 | − | 36.4274i | −0.894344 | − | 1.54905i | ||||
\(554\) | −21.2567 | −0.903110 | ||||||||
\(555\) | 2.57273 | + | 6.03536i | 0.109206 | + | 0.256187i | ||||
\(556\) | 3.07049 | 0.130218 | ||||||||
\(557\) | 10.4061 | + | 18.0238i | 0.440919 | + | 0.763694i | 0.997758 | − | 0.0669264i | \(-0.0213193\pi\) |
−0.556839 | + | 0.830621i | \(0.687986\pi\) | |||||||
\(558\) | 10.7318 | − | 2.87558i | 0.454314 | − | 0.121733i | ||||
\(559\) | −6.70664 | + | 11.6162i | −0.283661 | + | 0.491315i | ||||
\(560\) | 7.09987 | − | 7.76164i | 0.300024 | − | 0.327989i | ||||
\(561\) | 0.211939 | + | 0.211939i | 0.00894806 | + | 0.00894806i | ||||
\(562\) | −2.64937 | + | 0.709898i | −0.111757 | + | 0.0299452i | ||||
\(563\) | 24.4930 | 1.03226 | 0.516129 | − | 0.856511i | \(-0.327373\pi\) | ||||
0.516129 | + | 0.856511i | \(0.327373\pi\) | |||||||
\(564\) | −5.00099 | + | 2.88733i | −0.210580 | + | 0.121578i | ||||
\(565\) | 9.12530 | + | 14.2965i | 0.383904 | + | 0.601458i | ||||
\(566\) | − | 1.84522i | − | 0.0775605i | ||||||
\(567\) | −8.47430 | + | 31.6265i | −0.355887 | + | 1.32819i | ||||
\(568\) | 6.64478 | − | 11.5091i | 0.278809 | − | 0.482911i | ||||
\(569\) | 20.9645 | + | 20.9645i | 0.878879 | + | 0.878879i | 0.993419 | − | 0.114540i | \(-0.0365393\pi\) |
−0.114540 | + | 0.993419i | \(0.536539\pi\) | |||||||
\(570\) | 3.98638 | + | 2.07079i | 0.166971 | + | 0.0867357i | ||||
\(571\) | 1.88090 | + | 3.25781i | 0.0787132 | + | 0.136335i | 0.902695 | − | 0.430281i | \(-0.141586\pi\) |
−0.823982 | + | 0.566616i | \(0.808252\pi\) | |||||||
\(572\) | −9.02605 | + | 5.21119i | −0.377398 | + | 0.217891i | ||||
\(573\) | 5.30554 | + | 3.06316i | 0.221642 | + | 0.127965i | ||||
\(574\) | −14.7159 | − | 54.9206i | −0.614231 | − | 2.29234i | ||||
\(575\) | −14.3110 | + | 1.27706i | −0.596809 | + | 0.0532570i | ||||
\(576\) | −2.39658 | + | 1.38366i | −0.0998573 | + | 0.0576526i | ||||
\(577\) | 1.48355 | − | 0.856526i | 0.0617609 | − | 0.0356576i | −0.468802 | − | 0.883303i | \(-0.655314\pi\) |
0.530562 | + | 0.847646i | \(0.321981\pi\) | |||||||
\(578\) | 16.8943 | 0.702709 | ||||||||
\(579\) | −10.0342 | + | 2.68866i | −0.417008 | + | 0.111737i | ||||
\(580\) | −1.65022 | − | 5.21804i | −0.0685216 | − | 0.216667i | ||||
\(581\) | −5.21772 | −0.216467 | ||||||||
\(582\) | −2.63863 | + | 2.63863i | −0.109375 | + | 0.109375i | ||||
\(583\) | −4.59775 | + | 17.1590i | −0.190419 | + | 0.710654i | ||||
\(584\) | −5.52677 | − | 5.52677i | −0.228699 | − | 0.228699i | ||||
\(585\) | −33.7157 | + | 1.50135i | −1.39397 | + | 0.0620732i | ||||
\(586\) | −2.34119 | + | 2.34119i | −0.0967136 | + | 0.0967136i | ||||
\(587\) | 6.73328 | − | 11.6624i | 0.277912 | − | 0.481358i | −0.692954 | − | 0.720982i | \(-0.743691\pi\) |
0.970866 | + | 0.239624i | \(0.0770243\pi\) | |||||||
\(588\) | 1.88893 | + | 7.04957i | 0.0778981 | + | 0.290720i | ||||
\(589\) | −14.4809 | − | 8.36054i | −0.596675 | − | 0.344490i | ||||
\(590\) | 10.3134 | − | 3.26162i | 0.424594 | − | 0.134279i | ||||
\(591\) | − | 8.62459i | − | 0.354768i | ||||||
\(592\) | 3.53553 | + | 4.94975i | 0.145310 | + | 0.203433i | ||||
\(593\) | −7.08621 | + | 7.08621i | −0.290996 | + | 0.290996i | −0.837474 | − | 0.546478i | \(-0.815968\pi\) |
0.546478 | + | 0.837474i | \(0.315968\pi\) | |||||||
\(594\) | 1.37592 | − | 5.13500i | 0.0564547 | − | 0.210692i | ||||
\(595\) | −2.52381 | − | 2.30862i | −0.103466 | − | 0.0946444i | ||||
\(596\) | −20.5508 | − | 11.8650i | −0.841794 | − | 0.486010i | ||||
\(597\) | −6.51058 | − | 3.75888i | −0.266460 | − | 0.153841i | ||||
\(598\) | 15.6725 | 0.640898 | ||||||||
\(599\) | 26.4564 | + | 15.2746i | 1.08098 | + | 0.624104i | 0.931160 | − | 0.364610i | \(-0.118798\pi\) |
0.149819 | + | 0.988713i | \(0.452131\pi\) | |||||||
\(600\) | −2.26493 | + | 0.828816i | −0.0924652 | + | 0.0338363i | ||||
\(601\) | 2.28313 | + | 3.95450i | 0.0931308 | + | 0.161307i | 0.908827 | − | 0.417173i | \(-0.136979\pi\) |
−0.815696 | + | 0.578481i | \(0.803646\pi\) | |||||||
\(602\) | 8.18080 | + | 8.18080i | 0.333425 | + | 0.333425i | ||||
\(603\) | 16.4550 | + | 16.4550i | 0.670099 | + | 0.670099i | ||||
\(604\) | −11.9781 | + | 6.91554i | −0.487381 | + | 0.281389i | ||||
\(605\) | −0.730952 | − | 16.4150i | −0.0297174 | − | 0.667363i | ||||
\(606\) | −1.02242 | + | 1.02242i | −0.0415331 | + | 0.0415331i | ||||
\(607\) | −18.9717 | − | 32.8600i | −0.770040 | − | 1.33375i | −0.937541 | − | 0.347876i | \(-0.886903\pi\) |
0.167501 | − | 0.985872i | \(-0.446430\pi\) | |||||||
\(608\) | 4.02290 | + | 1.07793i | 0.163150 | + | 0.0437160i | ||||
\(609\) | 5.36453 | + | 1.43742i | 0.217382 | + | 0.0582473i | ||||
\(610\) | −16.5191 | − | 15.1106i | −0.668839 | − | 0.611812i | ||||
\(611\) | −63.0687 | + | 16.8992i | −2.55149 | + | 0.683669i | ||||
\(612\) | 0.449918 | + | 0.779281i | 0.0181869 | + | 0.0315006i | ||||
\(613\) | −7.04706 | + | 26.3000i | −0.284628 | + | 1.06225i | 0.664483 | + | 0.747304i | \(0.268652\pi\) |
−0.949111 | + | 0.314943i | \(0.898015\pi\) | |||||||
\(614\) | −31.3868 | − | 8.41007i | −1.26667 | − | 0.339403i | ||||
\(615\) | −2.81055 | + | 12.7298i | −0.113332 | + | 0.513314i | ||||
\(616\) | 2.32669 | + | 8.68333i | 0.0937451 | + | 0.349861i | ||||
\(617\) | −8.21970 | − | 2.20246i | −0.330913 | − | 0.0886678i | 0.0895375 | − | 0.995983i | \(-0.471461\pi\) |
−0.420450 | + | 0.907316i | \(0.638128\pi\) | |||||||
\(618\) | −4.17131 | + | 4.17131i | −0.167795 | + | 0.167795i | ||||
\(619\) | 9.02320 | 0.362673 | 0.181336 | − | 0.983421i | \(-0.441958\pi\) | ||||
0.181336 | + | 0.983421i | \(0.441958\pi\) | |||||||
\(620\) | 8.55962 | − | 2.70700i | 0.343763 | − | 0.108716i | ||||
\(621\) | −5.65268 | + | 5.65268i | −0.226834 | + | 0.226834i | ||||
\(622\) | 2.11586 | + | 7.89651i | 0.0848384 | + | 0.316621i | ||||
\(623\) | 6.61266i | 0.264931i | ||||||||
\(624\) | 2.54117 | − | 0.680905i | 0.101728 | − | 0.0272580i | ||||
\(625\) | 24.6050 | − | 4.42656i | 0.984200 | − | 0.177062i | ||||
\(626\) | 16.6518 | − | 28.8417i | 0.665539 | − | 1.15275i | ||||
\(627\) | −3.32467 | + | 1.91950i | −0.132775 | + | 0.0766575i | ||||
\(628\) | −4.67635 | − | 4.67635i | −0.186607 | − | 0.186607i | ||||
\(629\) | 1.60948 | − | 1.14963i | 0.0641742 | − | 0.0458387i | ||||
\(630\) | −6.27586 | + | 28.4252i | −0.250036 | + | 1.13249i | ||||
\(631\) | −4.27383 | − | 1.14517i | −0.170138 | − | 0.0455884i | 0.172744 | − | 0.984967i | \(-0.444737\pi\) |
−0.342883 | + | 0.939378i | \(0.611403\pi\) | |||||||
\(632\) | 2.31420 | + | 8.63670i | 0.0920538 | + | 0.343549i | ||||
\(633\) | −8.83814 | + | 2.36817i | −0.351285 | + | 0.0941265i | ||||
\(634\) | −0.751135 | − | 2.80328i | −0.0298314 | − | 0.111332i | ||||
\(635\) | 12.7539 | + | 2.81588i | 0.506124 | + | 0.111745i | ||||
\(636\) | 2.24203 | − | 3.88332i | 0.0889024 | − | 0.153984i | ||||
\(637\) | 82.5208i | 3.26959i | ||||||||
\(638\) | 4.51768 | + | 1.21051i | 0.178857 | + | 0.0479245i | ||||
\(639\) | 36.7766i | 1.45486i | ||||||||
\(640\) | −1.88484 | + | 1.20307i | −0.0745048 | + | 0.0475556i | ||||
\(641\) | −5.39495 | − | 9.34433i | −0.213088 | − | 0.369079i | 0.739592 | − | 0.673056i | \(-0.235019\pi\) |
−0.952679 | + | 0.303977i | \(0.901685\pi\) | |||||||
\(642\) | 3.90349 | + | 2.25368i | 0.154058 | + | 0.0889456i | ||||
\(643\) | 15.9654i | 0.629614i | 0.949156 | + | 0.314807i | \(0.101940\pi\) | ||||
−0.949156 | + | 0.314807i | \(0.898060\pi\) | |||||||
\(644\) | 3.49874 | − | 13.0575i | 0.137870 | − | 0.514536i | ||||
\(645\) | −0.799853 | − | 2.52916i | −0.0314942 | − | 0.0995856i | ||||
\(646\) | 0.350506 | − | 1.30810i | 0.0137905 | − | 0.0514667i | ||||
\(647\) | 21.2204 | − | 36.7549i | 0.834261 | − | 1.44498i | −0.0603689 | − | 0.998176i | \(-0.519228\pi\) |
0.894630 | − | 0.446807i | \(-0.147439\pi\) | |||||||
\(648\) | 3.48004 | − | 6.02761i | 0.136709 | − | 0.236787i | ||||
\(649\) | −2.39255 | + | 8.92910i | −0.0939157 | + | 0.350498i | ||||
\(650\) | −27.1622 | + | 2.42385i | −1.06539 | + | 0.0950713i | ||||
\(651\) | −2.35793 | + | 8.79992i | −0.0924146 | + | 0.344896i | ||||
\(652\) | − | 20.2377i | − | 0.792571i | ||||||
\(653\) | −25.8783 | − | 14.9408i | −1.01269 | − | 0.584679i | −0.100715 | − | 0.994915i | \(-0.532113\pi\) |
−0.911979 | + | 0.410236i | \(0.865446\pi\) | |||||||
\(654\) | 0.798971 | + | 1.38386i | 0.0312422 | + | 0.0541132i | ||||
\(655\) | 3.11119 | − | 14.0915i | 0.121564 | − | 0.550599i | ||||
\(656\) | 12.0864i | 0.471896i | ||||||||
\(657\) | 20.8925 | + | 5.59813i | 0.815095 | + | 0.218404i | ||||
\(658\) | 56.3178i | 2.19550i | ||||||||
\(659\) | 9.79067 | − | 16.9579i | 0.381390 | − | 0.660587i | −0.609871 | − | 0.792501i | \(-0.708779\pi\) |
0.991261 | + | 0.131913i | \(0.0421121\pi\) | |||||||
\(660\) | 0.444368 | − | 2.01267i | 0.0172970 | − | 0.0783430i | ||||
\(661\) | 2.39638 | + | 8.94340i | 0.0932082 | + | 0.347858i | 0.996742 | − | 0.0806597i | \(-0.0257027\pi\) |
−0.903533 | + | 0.428517i | \(0.859036\pi\) | |||||||
\(662\) | −28.5124 | + | 7.63989i | −1.10817 | + | 0.296933i | ||||
\(663\) | −0.221406 | − | 0.826299i | −0.00859870 | − | 0.0320908i | ||||
\(664\) | 1.07135 | + | 0.287067i | 0.0415764 | + | 0.0111404i | ||||
\(665\) | 36.9286 | − | 23.5712i | 1.43203 | − | 0.914050i | ||||
\(666\) | −15.3220 | − | 6.97045i | −0.593714 | − | 0.270100i | ||||
\(667\) | −4.97312 | − | 4.97312i | −0.192560 | − | 0.192560i | ||||
\(668\) | 0.225059 | − | 0.129938i | 0.00870780 | − | 0.00502745i | ||||
\(669\) | 0.731573 | − | 1.26712i | 0.0282843 | − | 0.0489898i | ||||
\(670\) | 13.8744 | + | 12.6914i | 0.536013 | + | 0.490311i | ||||
\(671\) | 18.4807 | − | 4.95190i | 0.713441 | − | 0.191166i | ||||
\(672\) | − | 2.26917i | − | 0.0875350i | ||||||
\(673\) | −2.06660 | − | 7.71264i | −0.0796614 | − | 0.297300i | 0.914588 | − | 0.404386i | \(-0.132515\pi\) |
−0.994250 | + | 0.107086i | \(0.965848\pi\) | |||||||
\(674\) | 5.13742 | − | 5.13742i | 0.197886 | − | 0.197886i | ||||
\(675\) | 8.92249 | − | 10.6709i | 0.343427 | − | 0.410724i | ||||
\(676\) | 16.7464 | 0.644093 | ||||||||
\(677\) | 6.77376 | − | 6.77376i | 0.260337 | − | 0.260337i | −0.564854 | − | 0.825191i | \(-0.691068\pi\) |
0.825191 | + | 0.564854i | \(0.191068\pi\) | |||||||
\(678\) | 3.53404 | + | 0.946944i | 0.135724 | + | 0.0363672i | ||||
\(679\) | 9.41910 | + | 35.1526i | 0.361472 | + | 1.34903i | ||||
\(680\) | 0.391197 | + | 0.612882i | 0.0150017 | + | 0.0235030i | ||||
\(681\) | −5.47921 | − | 1.46815i | −0.209964 | − | 0.0562597i | ||||
\(682\) | −1.98570 | + | 7.41075i | −0.0760365 | + | 0.283772i | ||||
\(683\) | −17.5198 | − | 30.3452i | −0.670377 | − | 1.16113i | −0.977797 | − | 0.209554i | \(-0.932799\pi\) |
0.307420 | − | 0.951574i | \(-0.400534\pi\) | |||||||
\(684\) | −11.1327 | + | 2.98299i | −0.425669 | + | 0.114058i | ||||
\(685\) | 23.0764 | − | 25.2273i | 0.881702 | − | 0.963886i | ||||
\(686\) | 36.9437 | + | 9.89904i | 1.41052 | + | 0.377947i | ||||
\(687\) | −6.43429 | − | 1.72406i | −0.245483 | − | 0.0657771i | ||||
\(688\) | −1.22967 | − | 2.12985i | −0.0468806 | − | 0.0811997i | ||||
\(689\) | 35.8510 | − | 35.8510i | 1.36582 | − | 1.36582i | ||||
\(690\) | −2.09195 | + | 2.28694i | −0.0796393 | + | 0.0870625i | ||||
\(691\) | 21.8014 | − | 12.5870i | 0.829363 | − | 0.478833i | −0.0242713 | − | 0.999705i | \(-0.507727\pi\) |
0.853635 | + | 0.520872i | \(0.174393\pi\) | |||||||
\(692\) | −0.657398 | − | 0.657398i | −0.0249905 | − | 0.0249905i | ||||
\(693\) | −17.5909 | − | 17.5909i | −0.668223 | − | 0.668223i | ||||
\(694\) | 16.1955 | + | 28.0514i | 0.614771 | + | 1.06482i | ||||
\(695\) | −5.78739 | + | 3.69403i | −0.219528 | + | 0.140123i | ||||
\(696\) | −1.02241 | − | 0.590290i | −0.0387544 | − | 0.0223749i | ||||
\(697\) | 3.93008 | 0.148862 | ||||||||
\(698\) | 12.2807 | + | 7.09028i | 0.464832 | + | 0.268371i | ||||
\(699\) | 4.04569 | + | 2.33578i | 0.153022 | + | 0.0883473i | ||||
\(700\) | −4.04428 | + | 23.1711i | −0.152859 | + | 0.875785i | ||||
\(701\) | −3.09394 | + | 11.5467i | −0.116856 | + | 0.436114i | −0.999419 | − | 0.0340806i | \(-0.989150\pi\) |
0.882563 | + | 0.470195i | \(0.155816\pi\) | |||||||
\(702\) | −10.7288 | + | 10.7288i | −0.404931 | + | 0.404931i | ||||
\(703\) | 8.88761 | + | 23.7234i | 0.335203 | + | 0.894746i | ||||
\(704\) | − | 1.91095i | − | 0.0720217i | ||||||
\(705\) | 5.95240 | − | 11.4587i | 0.224180 | − | 0.431560i | ||||
\(706\) | −23.7720 | − | 13.7248i | −0.894673 | − | 0.516540i | ||||
\(707\) | 3.64974 | + | 13.6210i | 0.137263 | + | 0.512271i | ||||
\(708\) | 1.16670 | − | 2.02078i | 0.0438471 | − | 0.0759454i | ||||
\(709\) | −32.8380 | + | 32.8380i | −1.23326 | + | 1.23326i | −0.270551 | + | 0.962706i | \(0.587206\pi\) |
−0.962706 | + | 0.270551i | \(0.912794\pi\) | |||||||
\(710\) | 1.32195 | + | 29.6869i | 0.0496119 | + | 1.11413i | ||||
\(711\) | −17.4964 | − | 17.4964i | −0.656167 | − | 0.656167i | ||||
\(712\) | 0.363814 | − | 1.35777i | 0.0136345 | − | 0.0508847i | ||||
\(713\) | 8.15785 | − | 8.15785i | 0.305514 | − | 0.305514i | ||||
\(714\) | −0.737852 | −0.0276134 | ||||||||
\(715\) | 10.7432 | − | 20.6812i | 0.401773 | − | 0.773435i | ||||
\(716\) | −3.03386 | + | 0.812920i | −0.113381 | + | 0.0303802i | ||||
\(717\) | −4.90221 | −0.183076 | ||||||||
\(718\) | −4.96924 | + | 2.86899i | −0.185450 | + | 0.107070i | ||||
\(719\) | 37.1722 | − | 21.4614i | 1.38629 | − | 0.800375i | 0.393395 | − | 0.919370i | \(-0.371301\pi\) |
0.992895 | + | 0.118995i | \(0.0379673\pi\) | |||||||
\(720\) | 2.85251 | − | 5.49124i | 0.106307 | − | 0.204646i | ||||
\(721\) | 14.8903 | + | 55.5714i | 0.554545 | + | 2.06959i | ||||
\(722\) | −1.43267 | − | 0.827155i | −0.0533186 | − | 0.0307835i | ||||
\(723\) | −10.1029 | + | 5.83292i | −0.375731 | + | 0.216928i | ||||
\(724\) | −5.70435 | − | 9.88022i | −0.212000 | − | 0.367196i | ||||
\(725\) | 9.38808 | + | 7.84984i | 0.348665 | + | 0.291536i | ||||
\(726\) | −2.50636 | − | 2.50636i | −0.0930196 | − | 0.0930196i | ||||
\(727\) | −19.0390 | + | 32.9764i | −0.706116 | + | 1.22303i | 0.260172 | + | 0.965562i | \(0.416221\pi\) |
−0.966287 | + | 0.257466i | \(0.917112\pi\) | |||||||
\(728\) | 6.64059 | − | 24.7830i | 0.246117 | − | 0.918520i | ||||
\(729\) | 15.2351i | 0.564263i | ||||||||
\(730\) | 17.0662 | + | 3.76796i | 0.631648 | + | 0.139458i | ||||
\(731\) | −0.692550 | + | 0.399844i | −0.0256149 | + | 0.0147888i | ||||
\(732\) | −4.82946 | −0.178502 | ||||||||
\(733\) | 24.2354 | − | 6.49385i | 0.895154 | − | 0.239856i | 0.218220 | − | 0.975900i | \(-0.429975\pi\) |
0.676934 | + | 0.736044i | \(0.263308\pi\) | |||||||
\(734\) | 25.3513 | + | 25.3513i | 0.935734 | + | 0.935734i | ||||
\(735\) | −12.0415 | − | 11.0148i | −0.444156 | − | 0.406287i | ||||
\(736\) | −1.43679 | + | 2.48858i | −0.0529606 | + | 0.0917305i | ||||
\(737\) | −15.5219 | + | 4.15909i | −0.571757 | + | 0.153202i | ||||
\(738\) | −16.7236 | − | 28.9661i | −0.615603 | − | 1.06626i | ||||
\(739\) | 0.687987 | 0.0253080 | 0.0126540 | − | 0.999920i | \(-0.495972\pi\) | ||||
0.0126540 | + | 0.999920i | \(0.495972\pi\) | |||||||
\(740\) | −12.6188 | − | 5.07597i | −0.463877 | − | 0.186596i | ||||
\(741\) | 10.9569 | 0.402510 | ||||||||
\(742\) | −21.8656 | − | 37.8724i | −0.802713 | − | 1.39034i | ||||
\(743\) | 0.204732 | − | 0.0548577i | 0.00751088 | − | 0.00201254i | −0.255062 | − | 0.966925i | \(-0.582096\pi\) |
0.262573 | + | 0.964912i | \(0.415429\pi\) | |||||||
\(744\) | 0.968304 | − | 1.67715i | 0.0354998 | − | 0.0614874i | ||||
\(745\) | 53.0094 | − | 2.36049i | 1.94212 | − | 0.0864817i | ||||
\(746\) | 7.62090 | + | 7.62090i | 0.279021 | + | 0.279021i | ||||
\(747\) | −2.96477 | + | 0.794409i | −0.108475 | + | 0.0290659i | ||||
\(748\) | −0.621373 | −0.0227197 | ||||||||
\(749\) | 38.0691 | − | 21.9792i | 1.39102 | − | 0.803103i | ||||
\(750\) | 3.27189 | − | 4.28706i | 0.119473 | − | 0.156541i | ||||
\(751\) | − | 44.1323i | − | 1.61041i | −0.592997 | − | 0.805204i | \(-0.702056\pi\) | ||
0.592997 | − | 0.805204i | \(-0.297944\pi\) | |||||||
\(752\) | 3.09848 | − | 11.5637i | 0.112990 | − | 0.421684i | ||||
\(753\) | −1.35478 | + | 2.34655i | −0.0493711 | + | 0.0855132i | ||||
\(754\) | −9.43897 | − | 9.43897i | −0.343747 | − | 0.343747i | ||||
\(755\) | 14.2568 | − | 27.4452i | 0.518859 | − | 0.998832i | ||||
\(756\) | 6.54351 | + | 11.3337i | 0.237985 | + | 0.412202i | ||||
\(757\) | 8.61975 | − | 4.97661i | 0.313290 | − | 0.180878i | −0.335108 | − | 0.942180i | \(-0.608773\pi\) |
0.648398 | + | 0.761302i | \(0.275439\pi\) | |||||||
\(758\) | 3.24154 | + | 1.87150i | 0.117738 | + | 0.0679760i | ||||
\(759\) | −0.685552 | − | 2.55852i | −0.0248840 | − | 0.0928682i | ||||
\(760\) | −8.87935 | + | 2.80812i | −0.322088 | + | 0.101861i | ||||
\(761\) | 37.8033 | − | 21.8257i | 1.37037 | − | 0.791182i | 0.379393 | − | 0.925236i | \(-0.376133\pi\) |
0.990974 | + | 0.134054i | \(0.0427994\pi\) | |||||||
\(762\) | 2.44004 | − | 1.40876i | 0.0883934 | − | 0.0510340i | ||||
\(763\) | 15.5841 | 0.564182 | ||||||||
\(764\) | −12.2679 | + | 3.28717i | −0.443837 | + | 0.118926i | ||||
\(765\) | −1.78555 | − | 0.927534i | −0.0645569 | − | 0.0335351i | ||||
\(766\) | 30.0103 | 1.08431 | ||||||||
\(767\) | 18.6559 | − | 18.6559i | 0.673627 | − | 0.673627i | ||||
\(768\) | −0.124844 | + | 0.465926i | −0.00450494 | + | 0.0168127i | ||||
\(769\) | 1.12417 | + | 1.12417i | 0.0405388 | + | 0.0405388i | 0.727086 | − | 0.686547i | \(-0.240874\pi\) |
−0.686547 | + | 0.727086i | \(0.740874\pi\) | |||||||
\(770\) | −14.8321 | − | 13.5675i | −0.534513 | − | 0.488939i | ||||
\(771\) | 1.69636 | − | 1.69636i | 0.0610929 | − | 0.0610929i | ||||
\(772\) | 10.7681 | − | 18.6508i | 0.387551 | − | 0.671258i | ||||
\(773\) | −13.5600 | − | 50.6065i | −0.487718 | − | 1.82019i | −0.567495 | − | 0.823377i | \(-0.692088\pi\) |
0.0797772 | − | 0.996813i | \(-0.474579\pi\) | |||||||
\(774\) | 5.89398 | + | 3.40289i | 0.211855 | + | 0.122314i | ||||
\(775\) | −12.8768 | + | 15.4001i | −0.462548 | + | 0.553188i | ||||
\(776\) | − | 7.73607i | − | 0.277709i | ||||||
\(777\) | 11.2318 | − | 8.02271i | 0.402938 | − | 0.287813i | ||||
\(778\) | −9.26841 | + | 9.26841i | −0.332289 | + | 0.332289i | ||||
\(779\) | −13.0284 | + | 48.6226i | −0.466790 | + | 1.74208i | ||||
\(780\) | −3.97052 | + | 4.34061i | −0.142167 | + | 0.155419i | ||||
\(781\) | −21.9933 | − | 12.6979i | −0.786983 | − | 0.454365i | ||||
\(782\) | 0.809199 | + | 0.467191i | 0.0289369 | + | 0.0167067i | ||||
\(783\) | 6.80879 | 0.243326 | ||||||||
\(784\) | −13.1032 | − | 7.56512i | −0.467971 | − | 0.270183i | ||||
\(785\) | 14.4402 | + | 3.18817i | 0.515391 | + | 0.113791i | ||||
\(786\) | −1.55650 | − | 2.69594i | −0.0555186 | − | 0.0961610i | ||||
\(787\) | 6.36141 | + | 6.36141i | 0.226760 | + | 0.226760i | 0.811338 | − | 0.584578i | \(-0.198740\pi\) |
−0.584578 | + | 0.811338i | \(0.698740\pi\) | |||||||
\(788\) | 12.6430 | + | 12.6430i | 0.450389 | + | 0.450389i | ||||
\(789\) | 1.13473 | − | 0.655139i | 0.0403976 | − | 0.0233236i | ||||
\(790\) | −14.7525 | − | 13.4946i | −0.524869 | − | 0.480117i | ||||
\(791\) | 25.2309 | − | 25.2309i | 0.897109 | − | 0.897109i | ||||
\(792\) | 2.64411 | + | 4.57974i | 0.0939545 | + | 0.162734i | ||||
\(793\) | −52.7457 | − | 14.1332i | −1.87306 | − | 0.501884i | ||||
\(794\) | −28.4106 | − | 7.61259i | −1.00825 | − | 0.270161i | ||||
\(795\) | 0.446042 | + | 10.0168i | 0.0158195 | + | 0.355258i | ||||
\(796\) | 15.0543 | − | 4.03378i | 0.533584 | − | 0.142974i | ||||
\(797\) | 2.06615 | + | 3.57868i | 0.0731869 | + | 0.126763i | 0.900296 | − | 0.435277i | \(-0.143350\pi\) |
−0.827109 | + | 0.562041i | \(0.810016\pi\) | |||||||
\(798\) | 2.44601 | − | 9.12863i | 0.0865878 | − | 0.323150i | ||||
\(799\) | −3.76010 | − | 1.00752i | −0.133023 | − | 0.0356433i | ||||
\(800\) | 2.10523 | − | 4.53520i | 0.0744311 | − | 0.160343i | ||||
\(801\) | 1.00679 | + | 3.75740i | 0.0355733 | + | 0.132761i | ||||
\(802\) | −22.0151 | − | 5.89894i | −0.777382 | − | 0.208299i | ||||
\(803\) | −10.5614 | + | 10.5614i | −0.372703 | + | 0.372703i | ||||
\(804\) | 4.05625 | 0.143053 | ||||||||
\(805\) | 9.11453 | + | 28.8204i | 0.321245 | + | 1.01579i | ||||
\(806\) | 15.4836 | − | 15.4836i | 0.545386 | − | 0.545386i | ||||
\(807\) | 0.109350 | + | 0.408100i | 0.00384930 | + | 0.0143658i | ||||
\(808\) | − | 2.99759i | − | 0.105455i | ||||||
\(809\) | −24.6333 | + | 6.60047i | −0.866060 | + | 0.232060i | −0.664383 | − | 0.747392i | \(-0.731306\pi\) |
−0.201677 | + | 0.979452i | \(0.564639\pi\) | |||||||
\(810\) | 0.692338 | + | 15.5478i | 0.0243263 | + | 0.546294i | ||||
\(811\) | 10.4650 | − | 18.1260i | 0.367477 | − | 0.636489i | −0.621693 | − | 0.783261i | \(-0.713555\pi\) |
0.989170 | + | 0.146772i | \(0.0468883\pi\) | |||||||
\(812\) | −9.97116 | + | 5.75685i | −0.349919 | + | 0.202026i | ||||
\(813\) | 0.928148 | + | 0.928148i | 0.0325516 | + | 0.0325516i | ||||
\(814\) | 9.45872 | − | 6.75623i | 0.331528 | − | 0.236806i | ||||
\(815\) | 24.3475 | + | 38.1448i | 0.852855 | + | 1.33616i | ||||
\(816\) | 0.151502 | + | 0.0405950i | 0.00530365 | + | 0.00142111i | ||||
\(817\) | −2.65100 | − | 9.89367i | −0.0927468 | − | 0.346136i | ||||
\(818\) | −15.1503 | + | 4.05950i | −0.529717 | + | 0.141937i | ||||
\(819\) | 18.3767 | + | 68.5827i | 0.642133 | + | 2.39647i | ||||
\(820\) | −14.5409 | − | 22.7810i | −0.507789 | − | 0.795546i | ||||
\(821\) | −23.3330 | + | 40.4139i | −0.814326 | + | 1.41045i | 0.0954843 | + | 0.995431i | \(0.469560\pi\) |
−0.909811 | + | 0.415024i | \(0.863773\pi\) | |||||||
\(822\) | − | 7.37536i | − | 0.257245i | ||||||
\(823\) | 7.38766 | + | 1.97952i | 0.257517 | + | 0.0690016i | 0.385268 | − | 0.922805i | \(-0.374109\pi\) |
−0.127750 | + | 0.991806i | \(0.540776\pi\) | |||||||
\(824\) | − | 12.2297i | − | 0.426041i | ||||||
\(825\) | 1.58383 | + | 4.32816i | 0.0551418 | + | 0.150687i | ||||
\(826\) | −11.3783 | − | 19.7078i | −0.395902 | − | 0.685722i | ||||
\(827\) | 20.3522 | + | 11.7504i | 0.707716 | + | 0.408600i | 0.810215 | − | 0.586133i | \(-0.199350\pi\) |
−0.102499 | + | 0.994733i | \(0.532684\pi\) | |||||||
\(828\) | − | 7.95211i | − | 0.276355i | ||||||
\(829\) | 8.07674 | − | 30.1428i | 0.280517 | − | 1.04690i | −0.671537 | − | 0.740971i | \(-0.734366\pi\) |
0.952054 | − | 0.305931i | \(-0.0989678\pi\) | |||||||
\(830\) | −2.36468 | + | 0.747836i | −0.0820793 | + | 0.0259578i | ||||
\(831\) | 2.65378 | − | 9.90404i | 0.0920586 | − | 0.343567i | ||||
\(832\) | −2.72701 | + | 4.72333i | −0.0945422 | + | 0.163752i | ||||
\(833\) | −2.45991 | + | 4.26069i | −0.0852308 | + | 0.147624i | ||||
\(834\) | −0.383334 | + | 1.43062i | −0.0132738 | + | 0.0495384i | ||||
\(835\) | −0.267875 | + | 0.515675i | −0.00927021 | + | 0.0178457i | ||||
\(836\) | 2.05988 | − | 7.68757i | 0.0712424 | − | 0.265880i | ||||
\(837\) | 11.1691i | 0.386059i | ||||||||
\(838\) | −27.4386 | − | 15.8417i | −0.947850 | − | 0.547242i | ||||
\(839\) | −4.31759 | − | 7.47828i | −0.149060 | − | 0.258179i | 0.781820 | − | 0.623504i | \(-0.214291\pi\) |
−0.930880 | + | 0.365325i | \(0.880958\pi\) | |||||||
\(840\) | 2.72997 | + | 4.27701i | 0.0941930 | + | 0.147571i | ||||
\(841\) | − | 23.0098i | − | 0.793440i | ||||||
\(842\) | 15.6544 | + | 4.19458i | 0.539485 | + | 0.144555i | ||||
\(843\) | − | 1.32304i | − | 0.0455679i | ||||||
\(844\) | 9.48450 | − | 16.4276i | 0.326470 | − | 0.565462i | ||||
\(845\) | −31.5643 | + | 20.1472i | −1.08585 | + | 0.693084i | ||||
\(846\) | 8.57451 | + | 32.0005i | 0.294798 | + | 1.10020i | ||||
\(847\) | −33.3904 | + | 8.94694i | −1.14731 | + | 0.307420i | ||||
\(848\) | 2.40600 | + | 8.97931i | 0.0826223 | + | 0.308351i | ||||
\(849\) | 0.859737 | + | 0.230366i | 0.0295061 | + | 0.00790614i | ||||
\(850\) | −1.47468 | − | 0.684546i | −0.0505813 | − | 0.0234797i | ||||
\(851\) | −17.3977 | + | 1.68675i | −0.596384 | + | 0.0578211i | ||||
\(852\) | 4.53282 | + | 4.53282i | 0.155292 | + | 0.155292i | ||||
\(853\) | −13.9856 | + | 8.07457i | −0.478857 | + | 0.276468i | −0.719940 | − | 0.694036i | \(-0.755831\pi\) |
0.241083 | + | 0.970504i | \(0.422497\pi\) | |||||||
\(854\) | −23.5499 | + | 40.7896i | −0.805861 | + | 1.39579i | ||||
\(855\) | 17.3946 | − | 19.0159i | 0.594881 | − | 0.650330i | ||||
\(856\) | −9.02595 | + | 2.41850i | −0.308501 | + | 0.0826625i | ||||
\(857\) | − | 58.0749i | − | 1.98380i | −0.127017 | − | 0.991901i | \(-0.540540\pi\) | ||
0.127017 | − | 0.991901i | \(-0.459460\pi\) | |||||||
\(858\) | −1.30118 | − | 4.85606i | −0.0444214 | − | 0.165783i | ||||
\(859\) | −14.5696 | + | 14.5696i | −0.497109 | + | 0.497109i | −0.910537 | − | 0.413428i | \(-0.864331\pi\) |
0.413428 | + | 0.910537i | \(0.364331\pi\) | |||||||
\(860\) | 4.88009 | + | 2.53504i | 0.166410 | + | 0.0864440i | ||||
\(861\) | 27.4261 | 0.934680 | ||||||||
\(862\) | 13.9175 | − | 13.9175i | 0.474030 | − | 0.474030i | ||||
\(863\) | −25.8546 | − | 6.92772i | −0.880101 | − | 0.235822i | −0.209650 | − | 0.977776i | \(-0.567233\pi\) |
−0.670451 | + | 0.741954i | \(0.733899\pi\) | |||||||
\(864\) | −0.720019 | − | 2.68715i | −0.0244955 | − | 0.0914186i | ||||
\(865\) | 2.02999 | + | 0.448191i | 0.0690216 | + | 0.0152389i | ||||
\(866\) | −6.57517 | − | 1.76181i | −0.223433 | − | 0.0598688i | ||||
\(867\) | −2.10916 | + | 7.87148i | −0.0716307 | + | 0.267329i | ||||
\(868\) | −9.44348 | − | 16.3566i | −0.320532 | − | 0.555179i | ||||
\(869\) | 16.5043 | − | 4.42232i | 0.559870 | − | 0.150017i | ||||
\(870\) | 2.63724 | − | 0.117435i | 0.0894109 | − | 0.00398143i | ||||
\(871\) | 44.3010 | + | 11.8704i | 1.50108 | + | 0.402213i | ||||
\(872\) | −3.19987 | − | 0.857402i | −0.108361 | − | 0.0290353i | ||||
\(873\) | 10.7041 | + | 18.5401i | 0.362279 | + | 0.627486i | ||||
\(874\) | −8.46258 | + | 8.46258i | −0.286251 | + | 0.286251i | ||||
\(875\) | −20.2537 | − | 48.5393i | −0.684701 | − | 1.64093i | ||||
\(876\) | 3.26505 | − | 1.88508i | 0.110316 | − | 0.0636909i | ||||
\(877\) | −25.0150 | − | 25.0150i | −0.844697 | − | 0.844697i | 0.144769 | − | 0.989465i | \(-0.453756\pi\) |
−0.989465 | + | 0.144769i | \(0.953756\pi\) | |||||||
\(878\) | 12.5654 | + | 12.5654i | 0.424060 | + | 0.424060i | ||||
\(879\) | −0.798536 | − | 1.38310i | −0.0269339 | − | 0.0466510i | ||||
\(880\) | 2.29901 | + | 3.60183i | 0.0774997 | + | 0.121418i | ||||
\(881\) | −10.7234 | − | 6.19117i | −0.361281 | − | 0.208586i | 0.308362 | − | 0.951269i | \(-0.400219\pi\) |
−0.669643 | + | 0.742684i | \(0.733553\pi\) | |||||||
\(882\) | 41.8703 | 1.40985 | ||||||||
\(883\) | −45.1461 | − | 26.0651i | −1.51929 | − | 0.877161i | −0.999742 | − | 0.0227176i | \(-0.992768\pi\) |
−0.519545 | − | 0.854443i | \(-0.673899\pi\) | |||||||
\(884\) | 1.53586 | + | 0.886728i | 0.0516565 | + | 0.0298239i | ||||
\(885\) | 0.232109 | + | 5.21246i | 0.00780225 | + | 0.175215i | ||||
\(886\) | 1.58459 | − | 5.91376i | 0.0532352 | − | 0.198677i | ||||
\(887\) | −3.12493 | + | 3.12493i | −0.104925 | + | 0.104925i | −0.757620 | − | 0.652696i | \(-0.773638\pi\) |
0.652696 | + | 0.757620i | \(0.273638\pi\) | |||||||
\(888\) | −2.74761 | + | 1.02935i | −0.0922037 | + | 0.0345427i | ||||
\(889\) | − | 27.4781i | − | 0.921586i | ||||||
\(890\) | 0.947769 | + | 2.99688i | 0.0317693 | + | 0.100456i | ||||
\(891\) | −11.5185 | − | 6.65018i | −0.385883 | − | 0.222790i | ||||
\(892\) | 0.785075 | + | 2.92994i | 0.0262862 | + | 0.0981016i | ||||
\(893\) | 24.9298 | − | 43.1797i | 0.834243 | − | 1.44495i | ||||
\(894\) | 8.09387 | − | 8.09387i | 0.270700 | − | 0.270700i | ||||
\(895\) | 4.74033 | − | 5.18218i | 0.158452 | − | 0.173221i | ||||
\(896\) | 3.32643 | + | 3.32643i | 0.111128 | + | 0.111128i | ||||
\(897\) | −1.95663 | + | 7.30224i | −0.0653299 | + | 0.243815i | ||||
\(898\) | 6.31169 | − | 6.31169i | 0.210624 | − | 0.210624i | ||||
\(899\) | −9.82632 | −0.327726 | ||||||||
\(900\) | 1.22984 | + | 13.7819i | 0.0409947 | + | 0.459396i | ||||
\(901\) | 2.91975 | − | 0.782345i | 0.0972710 | − | 0.0260637i | ||||
\(902\) | 23.0966 | 0.769032 | ||||||||
\(903\) | −4.83298 | + | 2.79032i | −0.160831 | + | 0.0928560i | ||||
\(904\) | −6.56880 | + | 3.79250i | −0.218475 | + | 0.126137i | ||||
\(905\) | 22.6384 | + | 11.7599i | 0.752526 | + | 0.390911i | ||||
\(906\) | −1.72673 | − | 6.44426i | −0.0573669 | − | 0.214096i | ||||
\(907\) | 17.3281 | + | 10.0044i | 0.575370 | + | 0.332190i | 0.759291 | − | 0.650751i | \(-0.225546\pi\) |
−0.183922 | + | 0.982941i | \(0.558879\pi\) | |||||||
\(908\) | 10.1843 | − | 5.87992i | 0.337979 | − | 0.195132i | ||||
\(909\) | 4.14766 | + | 7.18396i | 0.137569 | + | 0.238277i | ||||
\(910\) | 17.2993 | + | 54.7011i | 0.573468 | + | 1.81332i | ||||
\(911\) | 30.9529 | + | 30.9529i | 1.02551 | + | 1.02551i | 0.999666 | + | 0.0258481i | \(0.00822863\pi\) |
0.0258481 | + | 0.999666i | \(0.491771\pi\) | |||||||
\(912\) | −1.00447 | + | 1.73980i | −0.0332615 | + | 0.0576105i | ||||
\(913\) | 0.548571 | − | 2.04730i | 0.0181551 | − | 0.0677556i | ||||
\(914\) | 9.52956i | 0.315210i | ||||||||
\(915\) | 9.10276 | − | 5.81020i | 0.300928 | − | 0.192079i | ||||
\(916\) | 11.9595 | − | 6.90484i | 0.395154 | − | 0.228142i | ||||
\(917\) | −30.3598 | −1.00257 | ||||||||
\(918\) | −0.873764 | + | 0.234124i | −0.0288385 | + | 0.00772726i | ||||
\(919\) | −0.705891 | − | 0.705891i | −0.0232852 | − | 0.0232852i | 0.695368 | − | 0.718654i | \(-0.255241\pi\) |
−0.718654 | + | 0.695368i | \(0.755241\pi\) | |||||||
\(920\) | −0.285842 | − | 6.41914i | −0.00942393 | − | 0.211633i | ||||
\(921\) | 7.83694 | − | 13.5740i | 0.258236 | − | 0.447278i | ||||
\(922\) | 10.4099 | − | 2.78931i | 0.342831 | − | 0.0918612i | ||||
\(923\) | 36.2408 | + | 62.7710i | 1.19288 | + | 2.06613i | ||||
\(924\) | −4.33626 | −0.142653 | ||||||||
\(925\) | 29.8912 | − | 5.61398i | 0.982816 | − | 0.184587i | ||||
\(926\) | 14.8932 | 0.489420 | ||||||||
\(927\) | 16.9217 | + | 29.3093i | 0.555783 | + | 0.962644i | ||||
\(928\) | 2.36410 | − | 0.633459i | 0.0776054 | − | 0.0207943i | ||||
\(929\) | 27.7665 | − | 48.0930i | 0.910989 | − | 1.57788i | 0.0983200 | − | 0.995155i | \(-0.468653\pi\) |
0.812669 | − | 0.582725i | \(-0.198014\pi\) | |||||||
\(930\) | 0.192640 | + | 4.32610i | 0.00631690 | + | 0.141858i | ||||
\(931\) | −44.5581 | − | 44.5581i | −1.46033 | − | 1.46033i | ||||
\(932\) | −9.35476 | + | 2.50660i | −0.306425 | + | 0.0821064i | ||||
\(933\) | −3.94334 | −0.129099 | ||||||||
\(934\) | −12.9457 | + | 7.47419i | −0.423596 | + | 0.244563i | ||||
\(935\) | 1.17119 | − | 0.747557i | 0.0383019 | − | 0.0244477i | ||||
\(936\) | − | 15.0931i | − | 0.493333i | ||||||
\(937\) | 1.90979 | − | 7.12742i | 0.0623900 | − | 0.232843i | −0.927689 | − | 0.373354i | \(-0.878208\pi\) |
0.990079 | + | 0.140511i | \(0.0448745\pi\) | |||||||
\(938\) | 19.7795 | − | 34.2591i | 0.645823 | − | 1.11860i | ||||
\(939\) | 11.3592 | + | 11.3592i | 0.370694 | + | 0.370694i | ||||
\(940\) | 8.07183 | + | 25.5234i | 0.263274 | + | 0.832481i | ||||
\(941\) | −5.21250 | − | 9.02832i | −0.169923 | − | 0.294315i | 0.768470 | − | 0.639886i | \(-0.221019\pi\) |
−0.938393 | + | 0.345571i | \(0.887685\pi\) | |||||||
\(942\) | 2.76265 | − | 1.59502i | 0.0900120 | − | 0.0519684i | ||||
\(943\) | −30.0781 | − | 17.3656i | −0.979478 | − | 0.565502i | ||||
\(944\) | 1.25202 | + | 4.67260i | 0.0407497 | + | 0.152080i | ||||
\(945\) | −25.9687 | − | 13.4899i | −0.844762 | − | 0.438825i | ||||
\(946\) | −4.07003 | + | 2.34983i | −0.132328 | + | 0.0763997i | ||||
\(947\) | −26.6694 | + | 15.3976i | −0.866637 | + | 0.500353i | −0.866229 | − | 0.499647i | \(-0.833463\pi\) |
−0.000408080 | 1.00000i | \(0.500130\pi\) | ||||||||
\(948\) | −4.31298 | −0.140079 | ||||||||
\(949\) | 41.1763 | − | 11.0332i | 1.33664 | − | 0.358152i | ||||
\(950\) | 13.3578 | − | 15.9754i | 0.433384 | − | 0.518309i | ||||
\(951\) | 1.39989 | 0.0453947 | ||||||||
\(952\) | 1.08164 | − | 1.08164i | 0.0350560 | − | 0.0350560i | ||||
\(953\) | −3.13576 | + | 11.7028i | −0.101577 | + | 0.379091i | −0.997934 | − | 0.0642413i | \(-0.979537\pi\) |
0.896357 | + | 0.443333i | \(0.146204\pi\) | |||||||
\(954\) | −18.1905 | − | 18.1905i | −0.588939 | − | 0.588939i | ||||
\(955\) | 19.1683 | − | 20.9550i | 0.620271 | − | 0.678086i | ||||
\(956\) | 7.18627 | − | 7.18627i | 0.232421 | − | 0.232421i | ||||
\(957\) | −1.12801 | + | 1.95378i | −0.0364635 | + | 0.0631567i | ||||
\(958\) | −3.14783 | − | 11.7479i | −0.101702 | − | 0.379557i | ||||
\(959\) | −62.2922 | − | 35.9644i | −2.01152 | − | 1.16135i | ||||
\(960\) | −0.325231 | − | 1.02839i | −0.0104968 | − | 0.0331912i | ||||
\(961\) | 14.8810i | 0.480033i | ||||||||
\(962\) | −33.0207 | + | 3.20145i | −1.06463 | + | 0.103219i | ||||
\(963\) | 18.2850 | − | 18.2850i | 0.589225 | − | 0.589225i | ||||
\(964\) | 6.25949 | − | 23.3607i | 0.201605 | − | 0.752399i | ||||
\(965\) | 2.14226 | + | 48.1085i | 0.0689617 | + | 1.54867i | ||||
\(966\) | 5.64701 | + | 3.26030i | 0.181690 | + | 0.104899i | ||||
\(967\) | 28.0117 | + | 16.1726i | 0.900795 | + | 0.520074i | 0.877458 | − | 0.479653i | \(-0.159238\pi\) |
0.0233370 | + | 0.999728i | \(0.492571\pi\) | |||||||
\(968\) | 7.34827 | 0.236182 | ||||||||
\(969\) | 0.565721 | + | 0.326619i | 0.0181736 | + | 0.0104925i | ||||
\(970\) | 9.30705 | + | 14.5812i | 0.298832 | + | 0.468175i | ||||
\(971\) | 9.25347 | + | 16.0275i | 0.296958 | + | 0.514346i | 0.975438 | − | 0.220272i | \(-0.0706946\pi\) |
−0.678481 | + | 0.734618i | \(0.737361\pi\) | |||||||
\(972\) | 8.27534 | + | 8.27534i | 0.265432 | + | 0.265432i | ||||
\(973\) | 10.2138 | + | 10.2138i | 0.327439 | + | 0.327439i | ||||
\(974\) | −18.4138 | + | 10.6312i | −0.590016 | + | 0.340646i | ||||
\(975\) | 2.26172 | − | 12.9582i | 0.0724329 | − | 0.414994i | ||||
\(976\) | 7.07964 | − | 7.07964i | 0.226614 | − | 0.226614i | ||||
\(977\) | 1.28381 | + | 2.22362i | 0.0410726 | + | 0.0711399i | 0.885831 | − | 0.464008i | \(-0.153589\pi\) |
−0.844758 | + | 0.535148i | \(0.820256\pi\) | |||||||
\(978\) | 9.42928 | + | 2.52657i | 0.301515 | + | 0.0807907i | ||||
\(979\) | −2.59464 | − | 0.695231i | −0.0829249 | − | 0.0222197i | ||||
\(980\) | 33.7988 | − | 1.50505i | 1.07966 | − | 0.0480770i | ||||
\(981\) | 8.85508 | − | 2.37271i | 0.282721 | − | 0.0757548i | ||||
\(982\) | 11.8093 | + | 20.4542i | 0.376849 | + | 0.652721i | ||||
\(983\) | −3.31406 | + | 12.3683i | −0.105702 | + | 0.394486i | −0.998424 | − | 0.0561225i | \(-0.982126\pi\) |
0.892722 | + | 0.450608i | \(0.148793\pi\) | |||||||
\(984\) | −5.63138 | − | 1.50892i | −0.179522 | − | 0.0481028i | ||||
\(985\) | −39.0405 | − | 8.61957i | −1.24393 | − | 0.274642i | ||||
\(986\) | −0.205978 | − | 0.768721i | −0.00655968 | − | 0.0244811i | ||||
\(987\) | −26.2399 | − | 7.03097i | −0.835226 | − | 0.223798i | ||||
\(988\) | −16.0619 | + | 16.0619i | −0.510999 | + | 0.510999i | ||||
\(989\) | 7.06707 | 0.224720 | ||||||||
\(990\) | −10.4935 | − | 5.45100i | −0.333505 | − | 0.173244i | ||||
\(991\) | −39.6203 | + | 39.6203i | −1.25858 | + | 1.25858i | −0.306808 | + | 0.951771i | \(0.599261\pi\) |
−0.951771 | + | 0.306808i | \(0.900739\pi\) | |||||||
\(992\) | 1.03912 | + | 3.87804i | 0.0329920 | + | 0.123128i | ||||
\(993\) | − | 14.2385i | − | 0.451845i | ||||||
\(994\) | 60.3876 | − | 16.1808i | 1.91538 | − | 0.513224i | ||||
\(995\) | −23.5219 | + | 25.7144i | −0.745695 | + | 0.815202i | ||||
\(996\) | −0.267504 | + | 0.463331i | −0.00847619 | + | 0.0146812i | ||||
\(997\) | −44.4320 | + | 25.6529i | −1.40718 | + | 0.812434i | −0.995115 | − | 0.0987219i | \(-0.968525\pi\) |
−0.412062 | + | 0.911156i | \(0.635191\pi\) | |||||||
\(998\) | −21.5164 | − | 21.5164i | −0.681089 | − | 0.681089i | ||||
\(999\) | 10.7550 | − | 13.0644i | 0.340275 | − | 0.413340i |
(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 | 370.2.q.e.267.4 | ✓ | 16 | |
5.3 | odd | 4 | 370.2.r.e.193.4 | yes | 16 | ||
37.14 | odd | 12 | 370.2.r.e.347.4 | yes | 16 | ||
185.88 | even | 12 | inner | 370.2.q.e.273.4 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.e.267.4 | ✓ | 16 | 1.1 | even | 1 | trivial | |
370.2.q.e.273.4 | yes | 16 | 185.88 | even | 12 | inner | |
370.2.r.e.193.4 | yes | 16 | 5.3 | odd | 4 | ||
370.2.r.e.347.4 | yes | 16 | 37.14 | odd | 12 |