Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(4,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bs (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 101.7 | ||
Character | \(\chi\) | \(=\) | 403.101 |
Dual form | 403.2.bs.a.4.7 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.364510 | − | 1.71488i | −0.257747 | − | 1.21261i | −0.896447 | − | 0.443150i | \(-0.853861\pi\) |
0.638700 | − | 0.769456i | \(-0.279473\pi\) | |||||||
\(3\) | −0.797644 | + | 0.885874i | −0.460520 | + | 0.511459i | −0.928018 | − | 0.372535i | \(-0.878489\pi\) |
0.467498 | + | 0.883994i | \(0.345155\pi\) | |||||||
\(4\) | −0.980870 | + | 0.436711i | −0.490435 | + | 0.218356i | ||||
\(5\) | − | 3.57659i | − | 1.59950i | −0.600333 | − | 0.799750i | \(-0.704965\pi\) | ||
0.600333 | − | 0.799750i | \(-0.295035\pi\) | |||||||
\(6\) | 1.80992 | + | 1.04496i | 0.738897 | + | 0.426602i | ||||
\(7\) | 0.0329582 | + | 0.0740253i | 0.0124570 | + | 0.0279789i | 0.919667 | − | 0.392699i | \(-0.128459\pi\) |
−0.907210 | + | 0.420678i | \(0.861792\pi\) | |||||||
\(8\) | −0.954559 | − | 1.31384i | −0.337488 | − | 0.464512i | ||||
\(9\) | 0.165050 | + | 1.57034i | 0.0550165 | + | 0.523447i | ||||
\(10\) | −6.13344 | + | 1.30370i | −1.93956 | + | 0.412267i | ||||
\(11\) | −0.0769876 | − | 0.00809172i | −0.0232126 | − | 0.00243975i | 0.0929150 | − | 0.995674i | \(-0.470382\pi\) |
−0.116128 | + | 0.993234i | \(0.537048\pi\) | |||||||
\(12\) | 0.395514 | − | 1.21727i | 0.114175 | − | 0.351395i | ||||
\(13\) | −2.41736 | − | 2.67514i | −0.670456 | − | 0.741949i | ||||
\(14\) | 0.114931 | − | 0.0835025i | 0.0307167 | − | 0.0223170i | ||||
\(15\) | 3.16841 | + | 2.85285i | 0.818079 | + | 0.736602i | ||||
\(16\) | −3.34202 | + | 3.71169i | −0.835505 | + | 0.927922i | ||||
\(17\) | −0.393147 | − | 3.74054i | −0.0953521 | − | 0.907215i | −0.932726 | − | 0.360585i | \(-0.882577\pi\) |
0.837374 | − | 0.546630i | \(-0.184090\pi\) | |||||||
\(18\) | 2.63279 | − | 0.855446i | 0.620555 | − | 0.201631i | ||||
\(19\) | 1.72739 | − | 1.55535i | 0.396291 | − | 0.356822i | −0.446762 | − | 0.894653i | \(-0.647423\pi\) |
0.843053 | + | 0.537831i | \(0.180756\pi\) | |||||||
\(20\) | 1.56194 | + | 3.50817i | 0.349260 | + | 0.784450i | ||||
\(21\) | −0.0918660 | − | 0.0298491i | −0.0200468 | − | 0.00651360i | ||||
\(22\) | 0.0141864 | + | 0.134974i | 0.00302454 | + | 0.0287766i | ||||
\(23\) | 1.36132 | + | 0.606098i | 0.283855 | + | 0.126380i | 0.543725 | − | 0.839263i | \(-0.317013\pi\) |
−0.259871 | + | 0.965643i | \(0.583680\pi\) | |||||||
\(24\) | 1.92529 | + | 0.202356i | 0.392999 | + | 0.0413058i | ||||
\(25\) | −7.79200 | −1.55840 | ||||||||
\(26\) | −3.70639 | + | 5.12061i | −0.726884 | + | 1.00424i | ||||
\(27\) | −4.41597 | − | 3.20839i | −0.849853 | − | 0.617454i | ||||
\(28\) | −0.0646554 | − | 0.0582160i | −0.0122187 | − | 0.0110018i | ||||
\(29\) | −4.71782 | + | 1.00280i | −0.876077 | + | 0.186216i | −0.623937 | − | 0.781475i | \(-0.714468\pi\) |
−0.252140 | + | 0.967691i | \(0.581134\pi\) | |||||||
\(30\) | 3.73739 | − | 6.47334i | 0.682350 | − | 1.18186i | ||||
\(31\) | −0.935150 | + | 5.48867i | −0.167958 | + | 0.985794i | ||||
\(32\) | 4.77048 | + | 2.75424i | 0.843309 | + | 0.486885i | ||||
\(33\) | 0.0685769 | − | 0.0617470i | 0.0119377 | − | 0.0107488i | ||||
\(34\) | −6.27129 | + | 2.03767i | −1.07552 | + | 0.349457i | ||||
\(35\) | 0.264758 | − | 0.117878i | 0.0447523 | − | 0.0199250i | ||||
\(36\) | −0.847678 | − | 1.46822i | −0.141280 | − | 0.244704i | ||||
\(37\) | −9.56193 | + | 5.52058i | −1.57197 | + | 0.907578i | −0.576044 | + | 0.817418i | \(0.695404\pi\) |
−0.995927 | + | 0.0901597i | \(0.971262\pi\) | |||||||
\(38\) | −3.29690 | − | 2.39534i | −0.534827 | − | 0.388575i | ||||
\(39\) | 4.29803 | − | 0.00767347i | 0.688235 | − | 0.00122874i | ||||
\(40\) | −4.69906 | + | 3.41407i | −0.742987 | + | 0.539811i | ||||
\(41\) | 0.179754 | + | 0.845678i | 0.0280729 | + | 0.132073i | 0.989952 | − | 0.141401i | \(-0.0451607\pi\) |
−0.961879 | + | 0.273474i | \(0.911827\pi\) | |||||||
\(42\) | −0.0177016 | + | 0.168420i | −0.00273142 | + | 0.0259877i | ||||
\(43\) | −4.87542 | − | 5.41470i | −0.743494 | − | 0.825734i | 0.246157 | − | 0.969230i | \(-0.420832\pi\) |
−0.989651 | + | 0.143496i | \(0.954166\pi\) | |||||||
\(44\) | 0.0790485 | − | 0.0256844i | 0.0119170 | − | 0.00387207i | ||||
\(45\) | 5.61647 | − | 0.590315i | 0.837254 | − | 0.0879989i | ||||
\(46\) | 0.543174 | − | 2.55543i | 0.0800867 | − | 0.376778i | ||||
\(47\) | 11.4478 | − | 3.71960i | 1.66983 | − | 0.542560i | 0.686932 | − | 0.726722i | \(-0.258957\pi\) |
0.982896 | + | 0.184162i | \(0.0589572\pi\) | |||||||
\(48\) | −0.622344 | − | 5.92121i | −0.0898277 | − | 0.854653i | ||||
\(49\) | 4.67952 | − | 5.19713i | 0.668503 | − | 0.742448i | ||||
\(50\) | 2.84026 | + | 13.3624i | 0.401673 | + | 1.88972i | ||||
\(51\) | 3.62724 | + | 2.63534i | 0.507915 | + | 0.369022i | ||||
\(52\) | 3.53938 | + | 1.56827i | 0.490824 | + | 0.217480i | ||||
\(53\) | 5.44280 | − | 3.95443i | 0.747626 | − | 0.543182i | −0.147464 | − | 0.989067i | \(-0.547111\pi\) |
0.895090 | + | 0.445885i | \(0.147111\pi\) | |||||||
\(54\) | −3.89235 | + | 8.74236i | −0.529682 | + | 1.18968i | ||||
\(55\) | −0.0289408 | + | 0.275353i | −0.00390237 | + | 0.0371286i | ||||
\(56\) | 0.0657967 | − | 0.113963i | 0.00879246 | − | 0.0152290i | ||||
\(57\) | 2.77087i | 0.367010i | ||||||||
\(58\) | 3.43938 | + | 7.72498i | 0.451613 | + | 1.01434i | ||||
\(59\) | 1.92245 | − | 9.04442i | 0.250282 | − | 1.17748i | −0.655984 | − | 0.754775i | \(-0.727746\pi\) |
0.906266 | − | 0.422709i | \(-0.138921\pi\) | |||||||
\(60\) | −4.35366 | − | 1.41459i | −0.562056 | − | 0.182623i | ||||
\(61\) | 0.787045 | − | 1.36320i | 0.100771 | − | 0.174540i | −0.811232 | − | 0.584725i | \(-0.801202\pi\) |
0.912002 | + | 0.410185i | \(0.134536\pi\) | |||||||
\(62\) | 9.75330 | − | 0.397000i | 1.23867 | − | 0.0504190i | ||||
\(63\) | −0.110805 | + | 0.0639735i | −0.0139602 | + | 0.00805990i | ||||
\(64\) | −0.102503 | + | 0.315473i | −0.0128129 | + | 0.0394342i | ||||
\(65\) | −9.56786 | + | 8.64592i | −1.18675 | + | 1.07239i | ||||
\(66\) | −0.130886 | − | 0.0950941i | −0.0161109 | − | 0.0117053i | ||||
\(67\) | 10.3712 | − | 5.98779i | 1.26704 | − | 0.731526i | 0.292613 | − | 0.956231i | \(-0.405475\pi\) |
0.974427 | + | 0.224705i | \(0.0721420\pi\) | |||||||
\(68\) | 2.01916 | + | 3.49729i | 0.244860 | + | 0.424109i | ||||
\(69\) | −1.62277 | + | 0.722506i | −0.195359 | + | 0.0869795i | ||||
\(70\) | −0.298654 | − | 0.411062i | −0.0356960 | − | 0.0491313i | ||||
\(71\) | 4.26214 | − | 0.447969i | 0.505823 | − | 0.0531641i | 0.151819 | − | 0.988408i | \(-0.451487\pi\) |
0.354003 | + | 0.935244i | \(0.384820\pi\) | |||||||
\(72\) | 1.90563 | − | 1.71583i | 0.224580 | − | 0.202213i | ||||
\(73\) | 4.60271 | − | 6.33509i | 0.538706 | − | 0.741466i | −0.449720 | − | 0.893170i | \(-0.648476\pi\) |
0.988426 | + | 0.151704i | \(0.0484761\pi\) | |||||||
\(74\) | 12.9526 | + | 14.3853i | 1.50571 | + | 1.67226i | ||||
\(75\) | 6.21524 | − | 6.90272i | 0.717674 | − | 0.797058i | ||||
\(76\) | −1.01511 | + | 2.27997i | −0.116441 | + | 0.261530i | ||||
\(77\) | −0.00193838 | − | 0.00596572i | −0.000220899 | − | 0.000679857i | ||||
\(78\) | −1.57983 | − | 7.36782i | −0.178881 | − | 0.834242i | ||||
\(79\) | −0.437356 | + | 0.317758i | −0.0492064 | + | 0.0357506i | −0.612117 | − | 0.790768i | \(-0.709682\pi\) |
0.562910 | + | 0.826518i | \(0.309682\pi\) | |||||||
\(80\) | 13.2752 | + | 11.9530i | 1.48421 | + | 1.33639i | ||||
\(81\) | 1.73113 | − | 0.367964i | 0.192348 | − | 0.0408849i | ||||
\(82\) | 1.38472 | − | 0.616516i | 0.152916 | − | 0.0680828i | ||||
\(83\) | −6.28282 | − | 2.04141i | −0.689629 | − | 0.224074i | −0.0568228 | − | 0.998384i | \(-0.518097\pi\) |
−0.632806 | + | 0.774310i | \(0.718097\pi\) | |||||||
\(84\) | 0.103144 | − | 0.0108409i | 0.0112539 | − | 0.00118284i | ||||
\(85\) | −13.3784 | + | 1.40613i | −1.45109 | + | 0.152516i | ||||
\(86\) | −7.50845 | + | 10.3345i | −0.809656 | + | 1.11440i | ||||
\(87\) | 2.87478 | − | 4.97927i | 0.308209 | − | 0.533834i | ||||
\(88\) | 0.0628580 | + | 0.108873i | 0.00670068 | + | 0.0116059i | ||||
\(89\) | 10.3155 | + | 1.08420i | 1.09344 | + | 0.114925i | 0.634038 | − | 0.773302i | \(-0.281396\pi\) |
0.459404 | + | 0.888227i | \(0.348063\pi\) | |||||||
\(90\) | −3.05958 | − | 9.41642i | −0.322508 | − | 0.992578i | ||||
\(91\) | 0.118356 | − | 0.267114i | 0.0124071 | − | 0.0280011i | ||||
\(92\) | −1.59997 | −0.166808 | ||||||||
\(93\) | −4.11635 | − | 5.20643i | −0.426846 | − | 0.539882i | ||||
\(94\) | −10.5515 | − | 18.2758i | −1.08831 | − | 1.88500i | ||||
\(95\) | −5.56285 | − | 6.17817i | −0.570736 | − | 0.633867i | ||||
\(96\) | −6.24505 | + | 2.02914i | −0.637382 | + | 0.207098i | ||||
\(97\) | 6.21335 | + | 13.9554i | 0.630870 | + | 1.41696i | 0.892170 | + | 0.451700i | \(0.149182\pi\) |
−0.261300 | + | 0.965258i | \(0.584151\pi\) | |||||||
\(98\) | −10.6182 | − | 6.13043i | −1.07260 | − | 0.619267i | ||||
\(99\) | − | 0.122232i | − | 0.0122848i | ||||||
\(100\) | 7.64293 | − | 3.40285i | 0.764293 | − | 0.340285i | ||||
\(101\) | −11.9811 | − | 5.33433i | −1.19216 | − | 0.530786i | −0.287859 | − | 0.957673i | \(-0.592944\pi\) |
−0.904305 | + | 0.426887i | \(0.859610\pi\) | |||||||
\(102\) | 3.19714 | − | 7.18090i | 0.316565 | − | 0.711016i | ||||
\(103\) | 0.852050 | − | 2.62234i | 0.0839550 | − | 0.258387i | −0.900263 | − | 0.435346i | \(-0.856626\pi\) |
0.984218 | + | 0.176959i | \(0.0566260\pi\) | |||||||
\(104\) | −1.20718 | + | 5.72960i | −0.118373 | + | 0.561833i | ||||
\(105\) | −0.106758 | + | 0.328567i | −0.0104185 | + | 0.0320649i | ||||
\(106\) | −8.76534 | − | 7.89235i | −0.851365 | − | 0.766572i | ||||
\(107\) | 14.3312 | + | 6.38065i | 1.38545 | + | 0.616840i | 0.957887 | − | 0.287147i | \(-0.0927068\pi\) |
0.427559 | + | 0.903987i | \(0.359373\pi\) | |||||||
\(108\) | 5.73263 | + | 1.21851i | 0.551622 | + | 0.117251i | ||||
\(109\) | 13.1387 | − | 4.26902i | 1.25846 | − | 0.408898i | 0.397514 | − | 0.917596i | \(-0.369873\pi\) |
0.860945 | + | 0.508698i | \(0.169873\pi\) | |||||||
\(110\) | 0.482748 | − | 0.0507388i | 0.0460282 | − | 0.00483776i | ||||
\(111\) | 2.73648 | − | 12.8741i | 0.259735 | − | 1.22196i | ||||
\(112\) | −0.384906 | − | 0.125064i | −0.0363702 | − | 0.0118174i | ||||
\(113\) | 2.66380 | − | 1.18600i | 0.250589 | − | 0.111570i | −0.277598 | − | 0.960697i | \(-0.589538\pi\) |
0.528188 | + | 0.849128i | \(0.322872\pi\) | |||||||
\(114\) | 4.75171 | − | 1.01001i | 0.445039 | − | 0.0945959i | ||||
\(115\) | 2.16777 | − | 4.86888i | 0.202145 | − | 0.454026i | ||||
\(116\) | 4.18963 | − | 3.04394i | 0.388997 | − | 0.282623i | ||||
\(117\) | 3.80189 | − | 4.23762i | 0.351485 | − | 0.391768i | ||||
\(118\) | −16.2109 | −1.49233 | ||||||||
\(119\) | 0.263938 | − | 0.152384i | 0.0241951 | − | 0.0139691i | ||||
\(120\) | 0.723746 | − | 6.88598i | 0.0660687 | − | 0.628601i | ||||
\(121\) | −10.7538 | − | 2.28578i | −0.977615 | − | 0.207798i | ||||
\(122\) | −2.62462 | − | 0.852791i | −0.237622 | − | 0.0772081i | ||||
\(123\) | −0.892544 | − | 0.515310i | −0.0804779 | − | 0.0464640i | ||||
\(124\) | −1.47970 | − | 5.79206i | −0.132881 | − | 0.520142i | ||||
\(125\) | 9.98583i | 0.893160i | ||||||||
\(126\) | 0.150097 | + | 0.166699i | 0.0133717 | + | 0.0148508i | ||||
\(127\) | 2.01098 | − | 2.23342i | 0.178445 | − | 0.198184i | −0.647286 | − | 0.762247i | \(-0.724096\pi\) |
0.825731 | + | 0.564064i | \(0.190763\pi\) | |||||||
\(128\) | 11.5350 | + | 1.21237i | 1.01956 | + | 0.107160i | ||||
\(129\) | 8.68559 | 0.764723 | ||||||||
\(130\) | 18.3143 | + | 13.2563i | 1.60627 | + | 1.16265i | ||||
\(131\) | 0.750616 | + | 0.545354i | 0.0655816 | + | 0.0476478i | 0.620093 | − | 0.784528i | \(-0.287095\pi\) |
−0.554511 | + | 0.832176i | \(0.687095\pi\) | |||||||
\(132\) | −0.0402994 | + | 0.0905140i | −0.00350762 | + | 0.00787824i | ||||
\(133\) | 0.172067 | + | 0.0766092i | 0.0149201 | + | 0.00664286i | ||||
\(134\) | −14.0488 | − | 15.6027i | −1.21363 | − | 1.34787i | ||||
\(135\) | −11.4751 | + | 15.7941i | −0.987618 | + | 1.35934i | ||||
\(136\) | −4.53919 | + | 4.08710i | −0.389232 | + | 0.350466i | ||||
\(137\) | 2.58265 | − | 12.1504i | 0.220651 | − | 1.03808i | −0.718752 | − | 0.695266i | \(-0.755286\pi\) |
0.939403 | − | 0.342815i | \(-0.111380\pi\) | |||||||
\(138\) | 1.83053 | + | 2.51951i | 0.155825 | + | 0.214475i | ||||
\(139\) | 4.08675 | + | 0.868665i | 0.346633 | + | 0.0736792i | 0.377939 | − | 0.925831i | \(-0.376633\pi\) |
−0.0313052 | + | 0.999510i | \(0.509966\pi\) | |||||||
\(140\) | −0.208215 | + | 0.231246i | −0.0175974 | + | 0.0195438i | ||||
\(141\) | −5.83614 | + | 13.1082i | −0.491492 | + | 1.10391i | ||||
\(142\) | −2.32181 | − | 7.14578i | −0.194842 | − | 0.599661i | ||||
\(143\) | 0.164461 | + | 0.225513i | 0.0137529 | + | 0.0188583i | ||||
\(144\) | −6.38022 | − | 4.63550i | −0.531685 | − | 0.386292i | ||||
\(145\) | 3.58662 | + | 16.8737i | 0.297852 | + | 1.40128i | ||||
\(146\) | −12.5417 | − | 5.58391i | −1.03796 | − | 0.462128i | ||||
\(147\) | 0.871412 | + | 8.29093i | 0.0718728 | + | 0.683824i | ||||
\(148\) | 6.96811 | − | 9.59078i | 0.572775 | − | 0.788357i | ||||
\(149\) | −7.21825 | − | 4.16746i | −0.591342 | − | 0.341412i | 0.174286 | − | 0.984695i | \(-0.444238\pi\) |
−0.765628 | + | 0.643283i | \(0.777572\pi\) | |||||||
\(150\) | −14.1029 | − | 8.14231i | −1.15150 | − | 0.664817i | ||||
\(151\) | 7.57038 | − | 10.4197i | 0.616069 | − | 0.847946i | −0.380991 | − | 0.924579i | \(-0.624417\pi\) |
0.997059 | + | 0.0766330i | \(0.0244170\pi\) | |||||||
\(152\) | −3.69237 | − | 0.784839i | −0.299491 | − | 0.0636588i | ||||
\(153\) | 5.80904 | − | 1.23475i | 0.469633 | − | 0.0998237i | ||||
\(154\) | −0.00952396 | + | 0.00549866i | −0.000767463 | + | 0.000443095i | ||||
\(155\) | 19.6307 | + | 3.34465i | 1.57678 | + | 0.268649i | ||||
\(156\) | −4.21245 | + | 1.88452i | −0.337266 | + | 0.150883i | ||||
\(157\) | −1.99901 | + | 6.15233i | −0.159539 | + | 0.491010i | −0.998592 | − | 0.0530389i | \(-0.983109\pi\) |
0.839054 | + | 0.544049i | \(0.183109\pi\) | |||||||
\(158\) | 0.704339 | + | 0.634190i | 0.0560342 | + | 0.0504534i | ||||
\(159\) | −0.838296 | + | 7.97586i | −0.0664812 | + | 0.632527i | ||||
\(160\) | 9.85077 | − | 17.0620i | 0.778772 | − | 1.34887i | ||||
\(161\) | 0.120748i | 0.00951628i | ||||||||
\(162\) | −1.26203 | − | 2.83457i | −0.0991545 | − | 0.222705i | ||||
\(163\) | −14.3810 | + | 1.51151i | −1.12641 | + | 0.118390i | −0.649356 | − | 0.760485i | \(-0.724961\pi\) |
−0.477052 | + | 0.878875i | \(0.658295\pi\) | |||||||
\(164\) | −0.545633 | − | 0.750999i | −0.0426068 | − | 0.0586432i | ||||
\(165\) | −0.220844 | − | 0.245272i | −0.0171926 | − | 0.0190944i | ||||
\(166\) | −1.21063 | + | 11.5184i | −0.0939635 | + | 0.894003i | ||||
\(167\) | 0.173434 | + | 0.815940i | 0.0134207 | + | 0.0631394i | 0.984348 | − | 0.176234i | \(-0.0563914\pi\) |
−0.970928 | + | 0.239373i | \(0.923058\pi\) | |||||||
\(168\) | 0.0484747 | + | 0.149190i | 0.00373990 | + | 0.0115102i | ||||
\(169\) | −1.31270 | + | 12.9336i | −0.100977 | + | 0.994889i | ||||
\(170\) | 7.28790 | + | 22.4298i | 0.558956 | + | 1.72029i | ||||
\(171\) | 2.72754 | + | 2.45589i | 0.208580 | + | 0.187806i | ||||
\(172\) | 7.14681 | + | 3.18197i | 0.544939 | + | 0.242623i | ||||
\(173\) | −10.7312 | − | 2.28099i | −0.815878 | − | 0.173420i | −0.218972 | − | 0.975731i | \(-0.570270\pi\) |
−0.596906 | + | 0.802311i | \(0.703604\pi\) | |||||||
\(174\) | −9.58676 | − | 3.11493i | −0.726770 | − | 0.236142i | ||||
\(175\) | −0.256810 | − | 0.576805i | −0.0194130 | − | 0.0436024i | ||||
\(176\) | 0.287328 | − | 0.258711i | 0.0216582 | − | 0.0195011i | ||||
\(177\) | 6.47878 | + | 8.91728i | 0.486975 | + | 0.670264i | ||||
\(178\) | −1.90082 | − | 18.0851i | −0.142473 | − | 1.35554i | ||||
\(179\) | −2.20457 | + | 20.9751i | −0.164777 | + | 1.56775i | 0.529668 | + | 0.848205i | \(0.322317\pi\) |
−0.694445 | + | 0.719546i | \(0.744350\pi\) | |||||||
\(180\) | −5.25123 | + | 3.03180i | −0.391403 | + | 0.225977i | ||||
\(181\) | −19.8268 | −1.47371 | −0.736856 | − | 0.676050i | \(-0.763690\pi\) | ||||
−0.736856 | + | 0.676050i | \(0.763690\pi\) | |||||||
\(182\) | −0.501211 | − | 0.105601i | −0.0371522 | − | 0.00782765i | ||||
\(183\) | 0.579843 | + | 1.78457i | 0.0428632 | + | 0.131919i | ||||
\(184\) | −0.503145 | − | 2.36711i | −0.0370923 | − | 0.174506i | ||||
\(185\) | 19.7449 | + | 34.1991i | 1.45167 | + | 2.51437i | ||||
\(186\) | −7.42797 | + | 8.95686i | −0.544646 | + | 0.656749i | ||||
\(187\) | 0.291157i | 0.0212915i | ||||||||
\(188\) | −9.60437 | + | 8.64781i | −0.700471 | + | 0.630707i | ||||
\(189\) | 0.0919596 | − | 0.432636i | 0.00668908 | − | 0.0314696i | ||||
\(190\) | −8.56713 | + | 11.7916i | −0.621525 | + | 0.855456i | ||||
\(191\) | −1.99636 | + | 3.45780i | −0.144452 | + | 0.250197i | −0.929168 | − | 0.369657i | \(-0.879475\pi\) |
0.784717 | + | 0.619855i | \(0.212808\pi\) | |||||||
\(192\) | −0.197708 | − | 0.342441i | −0.0142684 | − | 0.0247135i | ||||
\(193\) | −0.912747 | − | 0.0959336i | −0.0657010 | − | 0.00690545i | 0.0716209 | − | 0.997432i | \(-0.477183\pi\) |
−0.137322 | + | 0.990526i | \(0.543849\pi\) | |||||||
\(194\) | 21.6671 | − | 15.7421i | 1.55561 | − | 1.13021i | ||||
\(195\) | −0.0274448 | − | 15.3723i | −0.00196537 | − | 1.10083i | ||||
\(196\) | −2.32035 | + | 7.14131i | −0.165739 | + | 0.510094i | ||||
\(197\) | −9.56120 | − | 1.00492i | −0.681207 | − | 0.0715978i | −0.242397 | − | 0.970177i | \(-0.577934\pi\) |
−0.438811 | + | 0.898579i | \(0.644600\pi\) | |||||||
\(198\) | −0.209614 | + | 0.0445549i | −0.0148966 | + | 0.00316638i | ||||
\(199\) | 12.4118 | + | 2.63821i | 0.879850 | + | 0.187018i | 0.625622 | − | 0.780127i | \(-0.284845\pi\) |
0.254228 | + | 0.967144i | \(0.418179\pi\) | |||||||
\(200\) | 7.43792 | + | 10.2374i | 0.525940 | + | 0.723895i | ||||
\(201\) | −2.96807 | + | 13.9637i | −0.209351 | + | 0.984921i | ||||
\(202\) | −4.78053 | + | 22.4906i | −0.336357 | + | 1.58243i | ||||
\(203\) | −0.229724 | − | 0.316188i | −0.0161234 | − | 0.0221920i | ||||
\(204\) | −4.70873 | − | 1.00087i | −0.329677 | − | 0.0700751i | ||||
\(205\) | 3.02464 | − | 0.642908i | 0.211250 | − | 0.0449026i | ||||
\(206\) | −4.80759 | − | 0.505298i | −0.334961 | − | 0.0352058i | ||||
\(207\) | −0.727097 | + | 2.23777i | −0.0505367 | + | 0.155536i | ||||
\(208\) | 18.0081 | − | 0.0321508i | 1.24864 | − | 0.00222925i | ||||
\(209\) | −0.145573 | + | 0.105765i | −0.0100695 | + | 0.00731592i | ||||
\(210\) | 0.602369 | + | 0.0633115i | 0.0415674 | + | 0.00436891i | ||||
\(211\) | 7.49459 | + | 12.9810i | 0.515949 | + | 0.893650i | 0.999829 | + | 0.0185155i | \(0.00589401\pi\) |
−0.483879 | + | 0.875135i | \(0.660773\pi\) | |||||||
\(212\) | −3.61174 | + | 6.25571i | −0.248055 | + | 0.429644i | ||||
\(213\) | −3.00282 | + | 4.13303i | −0.205750 | + | 0.283191i | ||||
\(214\) | 5.71822 | − | 26.9021i | 0.390889 | − | 1.83899i | ||||
\(215\) | −19.3662 | + | 17.4374i | −1.32076 | + | 1.18922i | ||||
\(216\) | 8.86446i | 0.603150i | ||||||||
\(217\) | −0.437121 | + | 0.111672i | −0.0296737 | + | 0.00758078i | ||||
\(218\) | −12.1101 | − | 20.9753i | −0.820197 | − | 1.42062i | ||||
\(219\) | 1.94076 | + | 9.13056i | 0.131144 | + | 0.616986i | ||||
\(220\) | −0.0918627 | − | 0.282724i | −0.00619338 | − | 0.0190613i | ||||
\(221\) | −9.05608 | + | 10.0940i | −0.609178 | + | 0.678994i | ||||
\(222\) | −23.0751 | −1.54870 | ||||||||
\(223\) | 14.5832 | − | 8.41960i | 0.976562 | − | 0.563818i | 0.0753317 | − | 0.997159i | \(-0.475998\pi\) |
0.901230 | + | 0.433340i | \(0.142665\pi\) | |||||||
\(224\) | −0.0466569 | + | 0.443911i | −0.00311740 | + | 0.0296600i | ||||
\(225\) | −1.28607 | − | 12.2361i | −0.0857377 | − | 0.815740i | ||||
\(226\) | −3.00484 | − | 4.13580i | −0.199879 | − | 0.275109i | ||||
\(227\) | 0.135620 | − | 0.122113i | 0.00900139 | − | 0.00810489i | −0.664618 | − | 0.747184i | \(-0.731406\pi\) |
0.673619 | + | 0.739079i | \(0.264739\pi\) | |||||||
\(228\) | −1.21007 | − | 2.71786i | −0.0801388 | − | 0.179995i | ||||
\(229\) | 3.61666 | + | 1.17512i | 0.238995 | + | 0.0776543i | 0.426066 | − | 0.904692i | \(-0.359899\pi\) |
−0.187070 | + | 0.982347i | \(0.559899\pi\) | |||||||
\(230\) | −9.13974 | − | 1.94271i | −0.602657 | − | 0.128099i | ||||
\(231\) | 0.00683101 | + | 0.00304136i | 0.000449448 | + | 0.000200107i | ||||
\(232\) | 5.82096 | + | 5.24121i | 0.382165 | + | 0.344103i | ||||
\(233\) | −4.80972 | − | 14.8028i | −0.315095 | − | 0.969763i | −0.975715 | − | 0.219043i | \(-0.929707\pi\) |
0.660620 | − | 0.750720i | \(-0.270293\pi\) | |||||||
\(234\) | −8.65285 | − | 4.97515i | −0.565655 | − | 0.325236i | ||||
\(235\) | −13.3035 | − | 40.9439i | −0.867824 | − | 2.67089i | ||||
\(236\) | 2.06413 | + | 9.71096i | 0.134363 | + | 0.632129i | ||||
\(237\) | 0.0673613 | − | 0.640900i | 0.00437559 | − | 0.0416309i | ||||
\(238\) | −0.357529 | − | 0.397077i | −0.0231752 | − | 0.0257387i | ||||
\(239\) | −17.6239 | − | 24.2572i | −1.14000 | − | 1.56907i | −0.767515 | − | 0.641031i | \(-0.778507\pi\) |
−0.372482 | − | 0.928039i | \(-0.621493\pi\) | |||||||
\(240\) | −21.1777 | + | 2.22587i | −1.36702 | + | 0.143679i | ||||
\(241\) | 3.23784 | + | 7.27230i | 0.208567 | + | 0.468450i | 0.987292 | − | 0.158916i | \(-0.0507998\pi\) |
−0.778725 | + | 0.627366i | \(0.784133\pi\) | |||||||
\(242\) | 19.2746i | 1.23902i | ||||||||
\(243\) | 7.13279 | − | 12.3544i | 0.457569 | − | 0.792533i | ||||
\(244\) | −0.176663 | + | 1.68084i | −0.0113097 | + | 0.107604i | ||||
\(245\) | −18.5880 | − | 16.7367i | −1.18754 | − | 1.06927i | ||||
\(246\) | −0.558357 | + | 1.71844i | −0.0355995 | + | 0.109564i | ||||
\(247\) | −8.33651 | − | 0.861157i | −0.530439 | − | 0.0547941i | ||||
\(248\) | 8.10388 | − | 4.01062i | 0.514597 | − | 0.254675i | ||||
\(249\) | 6.81989 | − | 3.93746i | 0.432193 | − | 0.249527i | ||||
\(250\) | 17.1245 | − | 3.63993i | 1.08305 | − | 0.230210i | ||||
\(251\) | 12.0468 | + | 2.56062i | 0.760386 | + | 0.161625i | 0.571756 | − | 0.820423i | \(-0.306262\pi\) |
0.188629 | + | 0.982048i | \(0.439596\pi\) | |||||||
\(252\) | 0.0807477 | − | 0.111140i | 0.00508663 | − | 0.00700114i | ||||
\(253\) | −0.0999003 | − | 0.0576775i | −0.00628068 | − | 0.00362615i | ||||
\(254\) | −4.56307 | − | 2.63449i | −0.286313 | − | 0.165303i | ||||
\(255\) | 9.42554 | − | 12.9731i | 0.590250 | − | 0.812410i | ||||
\(256\) | −2.05618 | − | 19.5633i | −0.128511 | − | 1.22270i | ||||
\(257\) | 10.9642 | + | 4.88156i | 0.683925 | + | 0.304503i | 0.719129 | − | 0.694877i | \(-0.244541\pi\) |
−0.0352033 | + | 0.999380i | \(0.511208\pi\) | |||||||
\(258\) | −3.16598 | − | 14.8948i | −0.197105 | − | 0.927308i | ||||
\(259\) | −0.723807 | − | 0.525877i | −0.0449752 | − | 0.0326764i | ||||
\(260\) | 5.60905 | − | 12.6589i | 0.347859 | − | 0.785073i | ||||
\(261\) | −2.35342 | − | 7.24308i | −0.145673 | − | 0.448335i | ||||
\(262\) | 0.661613 | − | 1.48601i | 0.0408746 | − | 0.0918058i | ||||
\(263\) | −19.1918 | + | 21.3146i | −1.18342 | + | 1.31432i | −0.244711 | + | 0.969596i | \(0.578693\pi\) |
−0.938705 | + | 0.344721i | \(0.887973\pi\) | |||||||
\(264\) | −0.146586 | − | 0.0311579i | −0.00902176 | − | 0.00191763i | ||||
\(265\) | −14.1434 | − | 19.4667i | −0.868820 | − | 1.19583i | ||||
\(266\) | 0.0686557 | − | 0.323000i | 0.00420955 | − | 0.0198044i | ||||
\(267\) | −9.18858 | + | 8.27343i | −0.562332 | + | 0.506326i | ||||
\(268\) | −7.55782 | + | 10.4025i | −0.461668 | + | 0.635431i | ||||
\(269\) | 10.7963 | + | 11.9905i | 0.658263 | + | 0.731075i | 0.976161 | − | 0.217050i | \(-0.0696434\pi\) |
−0.317897 | + | 0.948125i | \(0.602977\pi\) | |||||||
\(270\) | 31.2678 | + | 13.9213i | 1.90290 | + | 0.847226i | ||||
\(271\) | 0.832979 | − | 1.87090i | 0.0505999 | − | 0.113649i | −0.886476 | − | 0.462774i | \(-0.846854\pi\) |
0.937076 | + | 0.349124i | \(0.113521\pi\) | |||||||
\(272\) | 15.1976 | + | 11.0417i | 0.921492 | + | 0.669503i | ||||
\(273\) | 0.142223 | + | 0.317910i | 0.00860775 | + | 0.0192408i | ||||
\(274\) | −21.7780 | −1.31566 | ||||||||
\(275\) | 0.599887 | + | 0.0630507i | 0.0361745 | + | 0.00380210i | ||||
\(276\) | 1.27620 | − | 1.41737i | 0.0768185 | − | 0.0853156i | ||||
\(277\) | 2.39747 | + | 2.66266i | 0.144050 | + | 0.159984i | 0.810852 | − | 0.585251i | \(-0.199004\pi\) |
−0.666802 | + | 0.745235i | \(0.732337\pi\) | |||||||
\(278\) | − | 7.32494i | − | 0.439320i | ||||||
\(279\) | −8.77344 | − | 0.562603i | −0.525252 | − | 0.0336822i | ||||
\(280\) | −0.407600 | − | 0.235328i | −0.0243588 | − | 0.0140635i | ||||
\(281\) | 8.30828 | + | 2.69952i | 0.495630 | + | 0.161040i | 0.546157 | − | 0.837683i | \(-0.316090\pi\) |
−0.0505270 | + | 0.998723i | \(0.516090\pi\) | |||||||
\(282\) | 24.6064 | + | 5.23024i | 1.46529 | + | 0.311456i | ||||
\(283\) | 0.623499 | − | 5.93220i | 0.0370632 | − | 0.352633i | −0.960236 | − | 0.279189i | \(-0.909934\pi\) |
0.997299 | − | 0.0734437i | \(-0.0233989\pi\) | |||||||
\(284\) | −3.98497 | + | 2.30072i | −0.236464 | + | 0.136523i | ||||
\(285\) | 9.91025 | 0.587033 | ||||||||
\(286\) | 0.326781 | − | 0.364233i | 0.0193230 | − | 0.0215375i | ||||
\(287\) | −0.0566772 | + | 0.0411784i | −0.00334555 | + | 0.00243068i | ||||
\(288\) | −3.53773 | + | 7.94587i | −0.208463 | + | 0.468215i | ||||
\(289\) | 2.79141 | − | 0.593333i | 0.164201 | − | 0.0349019i | ||||
\(290\) | 27.6291 | − | 12.3013i | 1.62244 | − | 0.722355i | ||||
\(291\) | −17.3188 | − | 5.62721i | −1.01524 | − | 0.329873i | ||||
\(292\) | −1.74805 | + | 8.22395i | −0.102297 | + | 0.481270i | ||||
\(293\) | −8.40749 | + | 0.883663i | −0.491171 | + | 0.0516242i | −0.346877 | − | 0.937911i | \(-0.612758\pi\) |
−0.144294 | + | 0.989535i | \(0.546091\pi\) | |||||||
\(294\) | 13.9003 | − | 4.51649i | 0.810684 | − | 0.263407i | ||||
\(295\) | −32.3482 | − | 6.87582i | −1.88338 | − | 0.400326i | ||||
\(296\) | 16.3806 | + | 7.29310i | 0.952102 | + | 0.423903i | ||||
\(297\) | 0.314013 | + | 0.282739i | 0.0182209 | + | 0.0164062i | ||||
\(298\) | −4.51559 | + | 13.8976i | −0.261581 | + | 0.805063i | ||||
\(299\) | −1.66941 | − | 5.10687i | −0.0965445 | − | 0.295338i | ||||
\(300\) | −3.08184 | + | 9.48494i | −0.177930 | + | 0.547613i | ||||
\(301\) | 0.240140 | − | 0.539363i | 0.0138414 | − | 0.0310884i | ||||
\(302\) | −20.6281 | − | 9.18423i | −1.18701 | − | 0.528493i | ||||
\(303\) | 14.2822 | − | 6.35885i | 0.820491 | − | 0.365306i | ||||
\(304\) | 11.6095i | 0.665853i | ||||||||
\(305\) | −4.87562 | − | 2.81494i | −0.279177 | − | 0.161183i | ||||
\(306\) | −4.23491 | − | 9.51176i | −0.242094 | − | 0.543751i | ||||
\(307\) | 7.70396 | − | 2.50317i | 0.439688 | − | 0.142863i | −0.0808037 | − | 0.996730i | \(-0.525749\pi\) |
0.520492 | + | 0.853867i | \(0.325749\pi\) | |||||||
\(308\) | 0.00450660 | + | 0.00500508i | 0.000256787 | + | 0.000285191i | ||||
\(309\) | 1.64343 | + | 2.84650i | 0.0934914 | + | 0.161932i | ||||
\(310\) | −1.41991 | − | 34.8836i | −0.0806452 | − | 1.98125i | ||||
\(311\) | 18.8701 | 1.07003 | 0.535013 | − | 0.844844i | \(-0.320307\pi\) | ||||
0.535013 | + | 0.844844i | \(0.320307\pi\) | |||||||
\(312\) | −4.11280 | − | 5.63959i | −0.232842 | − | 0.319279i | ||||
\(313\) | 2.99199 | + | 9.20838i | 0.169117 | + | 0.520489i | 0.999316 | − | 0.0369784i | \(-0.0117733\pi\) |
−0.830199 | + | 0.557467i | \(0.811773\pi\) | |||||||
\(314\) | 11.2792 | + | 1.18549i | 0.636522 | + | 0.0669012i | ||||
\(315\) | 0.228807 | + | 0.396305i | 0.0128918 | + | 0.0223293i | ||||
\(316\) | 0.290221 | − | 0.502678i | 0.0163262 | − | 0.0282778i | ||||
\(317\) | 19.4870 | − | 26.8216i | 1.09450 | − | 1.50645i | 0.252023 | − | 0.967721i | \(-0.418904\pi\) |
0.842478 | − | 0.538731i | \(-0.181096\pi\) | |||||||
\(318\) | 13.9832 | − | 1.46970i | 0.784141 | − | 0.0824166i | ||||
\(319\) | 0.371328 | − | 0.0390281i | 0.0207904 | − | 0.00218516i | ||||
\(320\) | 1.12832 | + | 0.366613i | 0.0630749 | + | 0.0204943i | ||||
\(321\) | −17.0836 | + | 7.60611i | −0.953514 | + | 0.424532i | ||||
\(322\) | 0.207069 | − | 0.0440139i | 0.0115395 | − | 0.00245280i | ||||
\(323\) | −6.49697 | − | 5.84990i | −0.361501 | − | 0.325497i | ||||
\(324\) | −1.53732 | + | 1.11693i | −0.0854068 | + | 0.0620517i | ||||
\(325\) | 18.8361 | + | 20.8446i | 1.04484 | + | 1.15625i | ||||
\(326\) | 7.83408 | + | 24.1108i | 0.433889 | + | 1.33537i | ||||
\(327\) | −6.69819 | + | 15.0444i | −0.370411 | + | 0.831957i | ||||
\(328\) | 0.939497 | − | 1.04342i | 0.0518751 | − | 0.0576131i | ||||
\(329\) | 0.652642 | + | 0.724833i | 0.0359813 | + | 0.0399613i | ||||
\(330\) | −0.340113 | + | 0.468125i | −0.0187226 | + | 0.0257694i | ||||
\(331\) | −3.32920 | + | 2.99763i | −0.182989 | + | 0.164764i | −0.755535 | − | 0.655109i | \(-0.772623\pi\) |
0.572545 | + | 0.819873i | \(0.305956\pi\) | |||||||
\(332\) | 7.05414 | − | 0.741419i | 0.387146 | − | 0.0406907i | ||||
\(333\) | −10.2474 | − | 14.1043i | −0.561554 | − | 0.772913i | ||||
\(334\) | 1.33603 | − | 0.594837i | 0.0731041 | − | 0.0325480i | ||||
\(335\) | −21.4159 | − | 37.0934i | −1.17007 | − | 2.02663i | ||||
\(336\) | 0.417808 | − | 0.241222i | 0.0227933 | − | 0.0131597i | ||||
\(337\) | −15.8619 | − | 11.5244i | −0.864055 | − | 0.627773i | 0.0649303 | − | 0.997890i | \(-0.479318\pi\) |
−0.928985 | + | 0.370117i | \(0.879318\pi\) | |||||||
\(338\) | 22.6580 | − | 2.46329i | 1.23243 | − | 0.133985i | ||||
\(339\) | −1.07412 | + | 3.30580i | −0.0583381 | + | 0.179546i | ||||
\(340\) | 12.5084 | − | 7.22172i | 0.678363 | − | 0.391653i | ||||
\(341\) | 0.116408 | − | 0.414992i | 0.00630383 | − | 0.0224731i | ||||
\(342\) | 3.21735 | − | 5.57261i | 0.173974 | − | 0.301332i | ||||
\(343\) | 1.07840 | + | 0.350394i | 0.0582283 | + | 0.0189195i | ||||
\(344\) | −2.46016 | + | 11.5742i | −0.132643 | + | 0.624037i | ||||
\(345\) | 2.58411 | + | 5.80400i | 0.139124 | + | 0.312477i | ||||
\(346\) | 19.2342i | 1.03404i | ||||||||
\(347\) | 7.95448 | − | 13.7776i | 0.427019 | − | 0.739618i | −0.569588 | − | 0.821931i | \(-0.692897\pi\) |
0.996607 | + | 0.0823122i | \(0.0262305\pi\) | |||||||
\(348\) | −0.645284 | + | 6.13947i | −0.0345909 | + | 0.329110i | ||||
\(349\) | −8.07968 | + | 18.1473i | −0.432495 | + | 0.971401i | 0.557484 | + | 0.830188i | \(0.311767\pi\) |
−0.989979 | + | 0.141213i | \(0.954900\pi\) | |||||||
\(350\) | −0.895544 | + | 0.650651i | −0.0478689 | + | 0.0347788i | ||||
\(351\) | 2.09213 | + | 19.5692i | 0.111670 | + | 1.04452i | ||||
\(352\) | −0.344981 | − | 0.250643i | −0.0183875 | − | 0.0133593i | ||||
\(353\) | 6.11992 | + | 28.7920i | 0.325731 | + | 1.53244i | 0.770877 | + | 0.636984i | \(0.219818\pi\) |
−0.445146 | + | 0.895458i | \(0.646848\pi\) | |||||||
\(354\) | 12.9305 | − | 14.3608i | 0.687249 | − | 0.763268i | ||||
\(355\) | −1.60220 | − | 15.2439i | −0.0850359 | − | 0.809063i | ||||
\(356\) | −10.5917 | + | 3.44144i | −0.561357 | + | 0.182396i | ||||
\(357\) | −0.0755349 | + | 0.355364i | −0.00399773 | + | 0.0188078i | ||||
\(358\) | 36.7734 | − | 3.86504i | 1.94354 | − | 0.204274i | ||||
\(359\) | −20.8978 | + | 6.79010i | −1.10294 | + | 0.358368i | −0.803234 | − | 0.595663i | \(-0.796889\pi\) |
−0.299708 | + | 0.954031i | \(0.596889\pi\) | |||||||
\(360\) | −6.13683 | − | 6.81564i | −0.323439 | − | 0.359216i | ||||
\(361\) | −1.42127 | + | 13.5225i | −0.0748039 | + | 0.711712i | ||||
\(362\) | 7.22705 | + | 34.0006i | 0.379845 | + | 1.78703i | ||||
\(363\) | 10.6026 | − | 7.70323i | 0.556492 | − | 0.404315i | ||||
\(364\) | 0.000560047 | 0.313691i | 2.93545e−5 | 0.0164419i | ||||||
\(365\) | −22.6580 | − | 16.4620i | −1.18597 | − | 0.861661i | ||||
\(366\) | 2.84898 | − | 1.64486i | 0.148918 | − | 0.0859781i | ||||
\(367\) | −5.67969 | − | 9.83751i | −0.296477 | − | 0.513514i | 0.678850 | − | 0.734277i | \(-0.262479\pi\) |
−0.975327 | + | 0.220763i | \(0.929145\pi\) | |||||||
\(368\) | −6.79920 | + | 3.02720i | −0.354433 | + | 0.157804i | ||||
\(369\) | −1.29834 | + | 0.421855i | −0.0675886 | + | 0.0219609i | ||||
\(370\) | 51.4503 | − | 46.3261i | 2.67477 | − | 2.40838i | ||||
\(371\) | 0.472113 | + | 0.272574i | 0.0245109 | + | 0.0141514i | ||||
\(372\) | 6.31131 | + | 3.30917i | 0.327226 | + | 0.171573i | ||||
\(373\) | −11.7455 | + | 20.3439i | −0.608161 | + | 1.05337i | 0.383382 | + | 0.923590i | \(0.374759\pi\) |
−0.991543 | + | 0.129776i | \(0.958574\pi\) | |||||||
\(374\) | 0.499300 | − | 0.106129i | 0.0258182 | − | 0.00548782i | ||||
\(375\) | −8.84618 | − | 7.96514i | −0.456815 | − | 0.411318i | ||||
\(376\) | −15.8145 | − | 11.4899i | −0.815572 | − | 0.592547i | ||||
\(377\) | 14.0873 | + | 10.1967i | 0.725534 | + | 0.525155i | ||||
\(378\) | −0.775441 | −0.0398844 | ||||||||
\(379\) | −19.5846 | − | 2.05842i | −1.00599 | − | 0.105734i | −0.412822 | − | 0.910812i | \(-0.635457\pi\) |
−0.593169 | + | 0.805078i | \(0.702123\pi\) | |||||||
\(380\) | 8.15451 | + | 3.63062i | 0.418317 | + | 0.186247i | ||||
\(381\) | 0.374480 | + | 3.56294i | 0.0191852 | + | 0.182535i | ||||
\(382\) | 6.65741 | + | 2.16313i | 0.340623 | + | 0.110675i | ||||
\(383\) | −3.65674 | − | 8.21317i | −0.186851 | − | 0.419673i | 0.795694 | − | 0.605698i | \(-0.207106\pi\) |
−0.982545 | + | 0.186025i | \(0.940439\pi\) | |||||||
\(384\) | −10.2748 | + | 9.25147i | −0.524334 | + | 0.472112i | ||||
\(385\) | −0.0213369 | + | 0.00693279i | −0.00108743 | + | 0.000353328i | ||||
\(386\) | 0.168190 | + | 1.60022i | 0.00856066 | + | 0.0814493i | ||||
\(387\) | 7.69825 | − | 8.54977i | 0.391324 | − | 0.434609i | ||||
\(388\) | −12.1890 | − | 10.9750i | −0.618801 | − | 0.557171i | ||||
\(389\) | 0.294793 | − | 0.214180i | 0.0149466 | − | 0.0108593i | −0.580287 | − | 0.814412i | \(-0.697060\pi\) |
0.595233 | + | 0.803553i | \(0.297060\pi\) | |||||||
\(390\) | −26.3517 | + | 5.65041i | −1.33437 | + | 0.286120i | ||||
\(391\) | 1.73194 | − | 5.33036i | 0.0875879 | − | 0.269568i | ||||
\(392\) | −11.2951 | − | 1.18716i | −0.570487 | − | 0.0599606i | ||||
\(393\) | −1.08184 | + | 0.229952i | −0.0545716 | + | 0.0115995i | ||||
\(394\) | 1.76183 | + | 16.7627i | 0.0887595 | + | 0.844491i | ||||
\(395\) | 1.13649 | + | 1.56424i | 0.0571830 | + | 0.0787057i | ||||
\(396\) | 0.0533803 | + | 0.119894i | 0.00268246 | + | 0.00602490i | ||||
\(397\) | −14.1718 | − | 8.18210i | −0.711263 | − | 0.410648i | 0.100265 | − | 0.994961i | \(-0.468031\pi\) |
−0.811529 | + | 0.584313i | \(0.801364\pi\) | |||||||
\(398\) | − | 22.2465i | − | 1.11511i | ||||||
\(399\) | −0.205114 | + | 0.0913228i | −0.0102686 | + | 0.00457186i | ||||
\(400\) | 26.0410 | − | 28.9215i | 1.30205 | − | 1.44607i | ||||
\(401\) | 0.509157 | + | 2.39540i | 0.0254261 | + | 0.119620i | 0.989030 | − | 0.147712i | \(-0.0471910\pi\) |
−0.963604 | + | 0.267333i | \(0.913858\pi\) | |||||||
\(402\) | 25.0280 | 1.24828 | ||||||||
\(403\) | 16.9435 | − | 10.7665i | 0.844017 | − | 0.536316i | ||||
\(404\) | 14.0815 | 0.700579 | ||||||||
\(405\) | −1.31606 | − | 6.19155i | −0.0653953 | − | 0.307661i | ||||
\(406\) | −0.458488 | + | 0.509203i | −0.0227544 | + | 0.0252713i | ||||
\(407\) | 0.780821 | − | 0.347644i | 0.0387039 | − | 0.0172321i | ||||
\(408\) | − | 7.28120i | − | 0.360473i | ||||||
\(409\) | 29.0404 | + | 16.7665i | 1.43596 | + | 0.829051i | 0.997566 | − | 0.0697333i | \(-0.0222148\pi\) |
0.438392 | + | 0.898784i | \(0.355548\pi\) | |||||||
\(410\) | −2.20502 | − | 4.95257i | −0.108898 | − | 0.244590i | ||||
\(411\) | 8.70370 | + | 11.9796i | 0.429322 | + | 0.590911i | ||||
\(412\) | 0.309456 | + | 2.94428i | 0.0152458 | + | 0.145054i | ||||
\(413\) | 0.732877 | − | 0.155778i | 0.0360625 | − | 0.00766532i | ||||
\(414\) | 4.10256 | + | 0.431196i | 0.201630 | + | 0.0211921i | ||||
\(415\) | −7.30129 | + | 22.4711i | −0.358406 | + | 1.10306i | ||||
\(416\) | −4.16403 | − | 19.4197i | −0.204158 | − | 0.952127i | ||||
\(417\) | −4.02930 | + | 2.92746i | −0.197316 | + | 0.143358i | ||||
\(418\) | 0.234438 | + | 0.211089i | 0.0114667 | + | 0.0103247i | ||||
\(419\) | 8.51752 | − | 9.45966i | 0.416108 | − | 0.462135i | −0.498255 | − | 0.867031i | \(-0.666026\pi\) |
0.914363 | + | 0.404896i | \(0.132692\pi\) | |||||||
\(420\) | −0.0387734 | − | 0.368904i | −0.00189195 | − | 0.0180007i | ||||
\(421\) | 20.6428 | − | 6.70726i | 1.00607 | − | 0.326892i | 0.240782 | − | 0.970579i | \(-0.422596\pi\) |
0.765289 | + | 0.643687i | \(0.222596\pi\) | |||||||
\(422\) | 19.5291 | − | 17.5841i | 0.950661 | − | 0.855979i | ||||
\(423\) | 7.73050 | + | 17.3630i | 0.375870 | + | 0.844217i | ||||
\(424\) | −10.3909 | − | 3.37622i | −0.504629 | − | 0.163964i | ||||
\(425\) | 3.06340 | + | 29.1463i | 0.148597 | + | 1.41380i | ||||
\(426\) | 8.18223 | + | 3.64296i | 0.396430 | + | 0.176502i | ||||
\(427\) | 0.126851 | + | 0.0133326i | 0.00613876 | + | 0.000645209i | ||||
\(428\) | −16.8435 | −0.814162 | ||||||||
\(429\) | −0.330957 | − | 0.0341877i | −0.0159787 | − | 0.00165060i | ||||
\(430\) | 36.9622 | + | 26.8546i | 1.78248 | + | 1.29505i | ||||
\(431\) | −17.1512 | − | 15.4430i | −0.826143 | − | 0.743863i | 0.143168 | − | 0.989698i | \(-0.454271\pi\) |
−0.969312 | + | 0.245836i | \(0.920938\pi\) | |||||||
\(432\) | 26.6668 | − | 5.66820i | 1.28301 | − | 0.272711i | ||||
\(433\) | 1.73396 | − | 3.00331i | 0.0833290 | − | 0.144330i | −0.821349 | − | 0.570426i | \(-0.806778\pi\) |
0.904678 | + | 0.426096i | \(0.140111\pi\) | |||||||
\(434\) | 0.350839 | + | 0.708907i | 0.0168408 | + | 0.0340286i | ||||
\(435\) | −17.8088 | − | 10.2819i | −0.853867 | − | 0.492980i | ||||
\(436\) | −11.0230 | + | 9.92518i | −0.527907 | + | 0.475330i | ||||
\(437\) | 3.29423 | − | 1.07036i | 0.157584 | − | 0.0512022i | ||||
\(438\) | 14.9504 | − | 6.65636i | 0.714359 | − | 0.318053i | ||||
\(439\) | 19.3969 | + | 33.5964i | 0.925764 | + | 1.60347i | 0.790328 | + | 0.612683i | \(0.209910\pi\) |
0.135435 | + | 0.990786i | \(0.456757\pi\) | |||||||
\(440\) | 0.389395 | − | 0.224817i | 0.0185637 | − | 0.0107177i | ||||
\(441\) | 8.93363 | + | 6.49066i | 0.425411 | + | 0.309079i | ||||
\(442\) | 20.6110 | + | 11.8508i | 0.980367 | + | 0.563684i | ||||
\(443\) | 12.5609 | − | 9.12606i | 0.596788 | − | 0.433592i | −0.247949 | − | 0.968773i | \(-0.579757\pi\) |
0.844737 | + | 0.535181i | \(0.179757\pi\) | |||||||
\(444\) | 2.93815 | + | 13.8229i | 0.139438 | + | 0.656005i | ||||
\(445\) | 3.87776 | − | 36.8944i | 0.183823 | − | 1.74896i | ||||
\(446\) | −19.7544 | − | 21.9394i | −0.935396 | − | 1.03886i | ||||
\(447\) | 9.44944 | − | 3.07031i | 0.446943 | − | 0.145221i | ||||
\(448\) | −0.0267313 | + | 0.00280958i | −0.00126294 | + | 0.000132740i | ||||
\(449\) | −2.54883 | + | 11.9913i | −0.120287 | + | 0.565905i | 0.876185 | + | 0.481975i | \(0.160081\pi\) |
−0.996472 | + | 0.0839299i | \(0.973253\pi\) | |||||||
\(450\) | −20.5147 | + | 6.66563i | −0.967073 | + | 0.314221i | ||||
\(451\) | −0.00699587 | − | 0.0665612i | −0.000329422 | − | 0.00313425i | ||||
\(452\) | −2.09490 | + | 2.32662i | −0.0985359 | + | 0.109435i | ||||
\(453\) | 3.19210 | + | 15.0176i | 0.149978 | + | 0.705590i | ||||
\(454\) | −0.258844 | − | 0.188061i | −0.0121481 | − | 0.00882613i | ||||
\(455\) | −0.955357 | − | 0.423310i | −0.0447878 | − | 0.0198451i | ||||
\(456\) | 3.64047 | − | 2.64496i | 0.170481 | − | 0.123861i | ||||
\(457\) | −0.694206 | + | 1.55921i | −0.0324736 | + | 0.0729368i | −0.929054 | − | 0.369944i | \(-0.879377\pi\) |
0.896580 | + | 0.442881i | \(0.146044\pi\) | |||||||
\(458\) | 0.696893 | − | 6.63049i | 0.0325636 | − | 0.309822i | ||||
\(459\) | −10.2650 | + | 17.7795i | −0.479129 | + | 0.829875i | ||||
\(460\) | 5.72243i | 0.266810i | ||||||||
\(461\) | 5.64532 | + | 12.6796i | 0.262929 | + | 0.590548i | 0.995975 | − | 0.0896312i | \(-0.0285688\pi\) |
−0.733046 | + | 0.680179i | \(0.761902\pi\) | |||||||
\(462\) | 0.00272561 | − | 0.0128230i | 0.000126807 | − | 0.000596580i | ||||
\(463\) | −3.13677 | − | 1.01920i | −0.145778 | − | 0.0473662i | 0.235219 | − | 0.971942i | \(-0.424419\pi\) |
−0.380997 | + | 0.924576i | \(0.624419\pi\) | |||||||
\(464\) | 12.0449 | − | 20.8625i | 0.559173 | − | 0.968515i | ||||
\(465\) | −18.6213 | + | 14.7225i | −0.863540 | + | 0.682739i | ||||
\(466\) | −23.6319 | + | 13.6439i | −1.09473 | + | 0.632040i | ||||
\(467\) | −10.9776 | + | 33.7854i | −0.507981 | + | 1.56340i | 0.287721 | + | 0.957714i | \(0.407102\pi\) |
−0.795701 | + | 0.605689i | \(0.792898\pi\) | |||||||
\(468\) | −1.87854 | + | 5.81688i | −0.0868358 | + | 0.268885i | ||||
\(469\) | 0.785063 | + | 0.570382i | 0.0362509 | + | 0.0263378i | ||||
\(470\) | −65.3649 | + | 37.7384i | −3.01506 | + | 1.74074i | ||||
\(471\) | −3.85569 | − | 6.67824i | −0.177661 | − | 0.307717i | ||||
\(472\) | −13.7180 | + | 6.10765i | −0.631422 | + | 0.281127i | ||||
\(473\) | 0.331532 | + | 0.456315i | 0.0152439 | + | 0.0209814i | ||||
\(474\) | −1.12362 | + | 0.118098i | −0.0516097 | + | 0.00542440i | ||||
\(475\) | −13.4598 | + | 12.1193i | −0.617579 | + | 0.556071i | ||||
\(476\) | −0.192340 | + | 0.264734i | −0.00881591 | + | 0.0121341i | ||||
\(477\) | 7.10813 | + | 7.89438i | 0.325459 | + | 0.361459i | ||||
\(478\) | −35.1743 | + | 39.0650i | −1.60883 | + | 1.78679i | ||||
\(479\) | 0.832846 | − | 1.87060i | 0.0380537 | − | 0.0854701i | −0.893518 | − | 0.449026i | \(-0.851771\pi\) |
0.931572 | + | 0.363556i | \(0.118438\pi\) | |||||||
\(480\) | 7.25740 | + | 22.3360i | 0.331253 | + | 1.01949i | ||||
\(481\) | 37.8830 | + | 12.2342i | 1.72732 | + | 0.557831i | ||||
\(482\) | 11.2909 | − | 8.20334i | 0.514288 | − | 0.373652i | ||||
\(483\) | −0.106967 | − | 0.0963140i | −0.00486719 | − | 0.00438244i | ||||
\(484\) | 11.5463 | − | 2.45423i | 0.524830 | − | 0.111556i | ||||
\(485\) | 49.9128 | − | 22.2226i | 2.26642 | − | 1.00908i | ||||
\(486\) | −23.7863 | − | 7.72863i | −1.07897 | − | 0.350578i | ||||
\(487\) | −24.6800 | + | 2.59397i | −1.11836 | + | 0.117544i | −0.645620 | − | 0.763659i | \(-0.723401\pi\) |
−0.472738 | + | 0.881203i | \(0.656734\pi\) | |||||||
\(488\) | −2.54231 | + | 0.267207i | −0.115085 | + | 0.0120959i | ||||
\(489\) | 10.1319 | − | 13.9454i | 0.458182 | − | 0.630633i | ||||
\(490\) | −21.9260 | + | 37.9770i | −0.990517 | + | 1.71563i | ||||
\(491\) | −10.4275 | − | 18.0609i | −0.470586 | − | 0.815078i | 0.528849 | − | 0.848716i | \(-0.322624\pi\) |
−0.999434 | + | 0.0336382i | \(0.989291\pi\) | |||||||
\(492\) | 1.10051 | + | 0.115668i | 0.0496149 | + | 0.00521473i | ||||
\(493\) | 5.60583 | + | 17.2530i | 0.252474 | + | 0.777034i | ||||
\(494\) | 1.56195 | + | 14.6100i | 0.0702757 | + | 0.657337i | ||||
\(495\) | −0.437175 | −0.0196496 | ||||||||
\(496\) | −17.2469 | − | 21.8142i | −0.774410 | − | 0.979488i | ||||
\(497\) | 0.173633 | + | 0.300742i | 0.00778852 | + | 0.0134901i | ||||
\(498\) | −9.23821 | − | 10.2601i | −0.413974 | − | 0.459765i | ||||
\(499\) | 29.5244 | − | 9.59305i | 1.32169 | − | 0.429444i | 0.438616 | − | 0.898674i | \(-0.355469\pi\) |
0.883076 | + | 0.469231i | \(0.155469\pi\) | |||||||
\(500\) | −4.36092 | − | 9.79480i | −0.195026 | − | 0.438037i | ||||
\(501\) | −0.861158 | − | 0.497190i | −0.0384737 | − | 0.0222128i | ||||
\(502\) | − | 21.5922i | − | 0.963707i | ||||||
\(503\) | 7.60562 | − | 3.38624i | 0.339118 | − | 0.150985i | −0.230110 | − | 0.973165i | \(-0.573909\pi\) |
0.569228 | + | 0.822180i | \(0.307242\pi\) | |||||||
\(504\) | 0.189821 | + | 0.0845138i | 0.00845530 | + | 0.00376454i | ||||
\(505\) | −19.0787 | + | 42.8515i | −0.848992 | + | 1.90687i | ||||
\(506\) | −0.0624955 | + | 0.192341i | −0.00277827 | + | 0.00855062i | ||||
\(507\) | −10.4104 | − | 11.4793i | −0.462343 | − | 0.509812i | ||||
\(508\) | −0.997148 | + | 3.06891i | −0.0442413 | + | 0.136161i | ||||
\(509\) | −30.4887 | − | 27.4521i | −1.35139 | − | 1.21679i | −0.954241 | − | 0.299038i | \(-0.903334\pi\) |
−0.397145 | − | 0.917756i | \(-0.629999\pi\) | |||||||
\(510\) | −25.6832 | − | 11.4349i | −1.13727 | − | 0.506345i | ||||
\(511\) | 0.620654 | + | 0.131924i | 0.0274561 | + | 0.00583598i | ||||
\(512\) | −10.7376 | + | 3.48885i | −0.474538 | + | 0.154187i | ||||
\(513\) | −12.6183 | + | 1.32623i | −0.557110 | + | 0.0585546i | ||||
\(514\) | 4.37476 | − | 20.5816i | 0.192962 | − | 0.907817i | ||||
\(515\) | −9.37904 | − | 3.04743i | −0.413290 | − | 0.134286i | ||||
\(516\) | −8.51943 | + | 3.79309i | −0.375047 | + | 0.166982i | ||||
\(517\) | −0.911433 | + | 0.193731i | −0.0400848 | + | 0.00852029i | ||||
\(518\) | −0.637983 | + | 1.43293i | −0.0280313 | + | 0.0629594i | ||||
\(519\) | 10.5803 | − | 7.68707i | 0.464426 | − | 0.337425i | ||||
\(520\) | 20.4924 | + | 4.31758i | 0.898652 | + | 0.189338i | ||||
\(521\) | −4.31189 | −0.188907 | −0.0944536 | − | 0.995529i | \(-0.530110\pi\) | ||||
−0.0944536 | + | 0.995529i | \(0.530110\pi\) | |||||||
\(522\) | −11.5632 | + | 6.67601i | −0.506107 | + | 0.292201i | ||||
\(523\) | −2.10679 | + | 20.0447i | −0.0921234 | + | 0.876495i | 0.846694 | + | 0.532080i | \(0.178589\pi\) |
−0.938817 | + | 0.344415i | \(0.888077\pi\) | |||||||
\(524\) | −0.974419 | − | 0.207119i | −0.0425677 | − | 0.00904804i | ||||
\(525\) | 0.715820 | + | 0.232584i | 0.0312409 | + | 0.0101508i | ||||
\(526\) | 43.5477 | + | 25.1423i | 1.89877 | + | 1.09626i | ||||
\(527\) | 20.8983 | + | 1.34012i | 0.910342 | + | 0.0583764i | ||||
\(528\) | 0.460896i | 0.0200579i | ||||||||
\(529\) | −13.9042 | − | 15.4421i | −0.604529 | − | 0.671398i | ||||
\(530\) | −28.2277 | + | 31.3500i | −1.22613 | + | 1.36176i | ||||
\(531\) | 14.5201 | + | 1.52613i | 0.630120 | + | 0.0662283i | ||||
\(532\) | −0.202231 | −0.00876784 | ||||||||
\(533\) | 1.82777 | − | 2.52518i | 0.0791695 | − | 0.109378i | ||||
\(534\) | 17.5373 | + | 12.7416i | 0.758914 | + | 0.551383i | ||||
\(535\) | 22.8210 | − | 51.2567i | 0.986636 | − | 2.21602i | ||||
\(536\) | −17.7669 | − | 7.91033i | −0.767412 | − | 0.341674i | ||||
\(537\) | −16.8228 | − | 18.6836i | −0.725958 | − | 0.806258i | ||||
\(538\) | 16.6270 | − | 22.8851i | 0.716841 | − | 0.986647i | ||||
\(539\) | −0.402319 | + | 0.362249i | −0.0173291 | + | 0.0156032i | ||||
\(540\) | 4.35810 | − | 20.5033i | 0.187543 | − | 0.882320i | ||||
\(541\) | 6.85191 | + | 9.43085i | 0.294587 | + | 0.405464i | 0.930497 | − | 0.366299i | \(-0.119375\pi\) |
−0.635911 | + | 0.771763i | \(0.719375\pi\) | |||||||
\(542\) | −3.51201 | − | 0.746501i | −0.150854 | − | 0.0320650i | ||||
\(543\) | 15.8147 | − | 17.5640i | 0.678674 | − | 0.753744i | ||||
\(544\) | 8.42684 | − | 18.9270i | 0.361298 | − | 0.811488i | ||||
\(545\) | −15.2685 | − | 46.9918i | −0.654033 | − | 2.01291i | ||||
\(546\) | 0.493337 | − | 0.359778i | 0.0211129 | − | 0.0153971i | ||||
\(547\) | 32.4808 | + | 23.5987i | 1.38878 | + | 1.00901i | 0.995998 | + | 0.0893727i | \(0.0284862\pi\) |
0.392779 | + | 0.919633i | \(0.371514\pi\) | |||||||
\(548\) | 2.77298 | + | 13.0459i | 0.118456 | + | 0.557292i | ||||
\(549\) | 2.27060 | + | 1.01093i | 0.0969067 | + | 0.0431456i | ||||
\(550\) | −0.110540 | − | 1.05172i | −0.00471345 | − | 0.0448455i | ||||
\(551\) | −6.58981 | + | 9.07009i | −0.280735 | + | 0.386399i | ||||
\(552\) | 2.49829 | + | 1.44239i | 0.106334 | + | 0.0613921i | ||||
\(553\) | −0.0379366 | − | 0.0219027i | −0.00161323 | − | 0.000931398i | ||||
\(554\) | 3.69225 | − | 5.08195i | 0.156869 | − | 0.215911i | ||||
\(555\) | −46.0455 | − | 9.78726i | −1.95452 | − | 0.415446i | ||||
\(556\) | −4.38792 | + | 0.932682i | −0.186089 | + | 0.0395545i | ||||
\(557\) | 32.7196 | − | 18.8907i | 1.38637 | − | 0.800423i | 0.393469 | − | 0.919338i | \(-0.371275\pi\) |
0.992904 | + | 0.118915i | \(0.0379417\pi\) | |||||||
\(558\) | 2.23320 | + | 15.2505i | 0.0945391 | + | 0.645605i | ||||
\(559\) | −2.69939 | + | 26.1317i | −0.114172 | + | 1.10525i | ||||
\(560\) | −0.447301 | + | 1.37665i | −0.0189019 | + | 0.0581741i | ||||
\(561\) | −0.257928 | − | 0.232239i | −0.0108897 | − | 0.00980515i | ||||
\(562\) | 1.60092 | − | 15.2317i | 0.0675307 | − | 0.642512i | ||||
\(563\) | 2.51944 | − | 4.36380i | 0.106182 | − | 0.183912i | −0.808039 | − | 0.589129i | \(-0.799471\pi\) |
0.914220 | + | 0.405217i | \(0.132804\pi\) | |||||||
\(564\) | − | 15.4061i | − | 0.648715i | ||||||
\(565\) | −4.24184 | − | 9.52732i | −0.178455 | − | 0.400818i | ||||
\(566\) | −10.4003 | + | 1.09312i | −0.437158 | + | 0.0459471i | ||||
\(567\) | 0.0842937 | + | 0.116020i | 0.00354000 | + | 0.00487239i | ||||
\(568\) | −4.65702 | − | 5.17214i | −0.195404 | − | 0.217018i | ||||
\(569\) | 0.446526 | − | 4.24841i | 0.0187194 | − | 0.178103i | −0.981167 | − | 0.193160i | \(-0.938126\pi\) |
0.999887 | + | 0.0150572i | \(0.00479304\pi\) | |||||||
\(570\) | −3.61238 | − | 16.9949i | −0.151306 | − | 0.711839i | ||||
\(571\) | 4.18260 | + | 12.8727i | 0.175036 | + | 0.538707i | 0.999635 | − | 0.0270113i | \(-0.00859901\pi\) |
−0.824599 | + | 0.565718i | \(0.808599\pi\) | |||||||
\(572\) | −0.259798 | − | 0.149377i | −0.0108627 | − | 0.00624576i | ||||
\(573\) | −1.47079 | − | 4.52661i | −0.0614430 | − | 0.189102i | ||||
\(574\) | 0.0912756 | + | 0.0821849i | 0.00380977 | + | 0.00343033i | ||||
\(575\) | −10.6074 | − | 4.72272i | −0.442359 | − | 0.196951i | ||||
\(576\) | −0.512319 | − | 0.108897i | −0.0213466 | − | 0.00453737i | ||||
\(577\) | −38.6811 | − | 12.5683i | −1.61032 | − | 0.523224i | −0.640688 | − | 0.767802i | \(-0.721351\pi\) |
−0.969630 | + | 0.244578i | \(0.921351\pi\) | |||||||
\(578\) | −2.03499 | − | 4.57067i | −0.0846446 | − | 0.190115i | ||||
\(579\) | 0.813032 | − | 0.732058i | 0.0337885 | − | 0.0304233i | ||||
\(580\) | −10.8869 | − | 14.9846i | −0.452056 | − | 0.622201i | ||||
\(581\) | −0.0559542 | − | 0.532369i | −0.00232137 | − | 0.0220864i | ||||
\(582\) | −3.33715 | + | 31.7509i | −0.138329 | + | 1.31612i | ||||
\(583\) | −0.451026 | + | 0.260400i | −0.0186796 | + | 0.0107847i | ||||
\(584\) | −12.7168 | −0.526226 | ||||||||
\(585\) | −15.1562 | − | 13.5978i | −0.626633 | − | 0.562200i | ||||
\(586\) | 4.58000 | + | 14.0958i | 0.189198 | + | 0.582291i | ||||
\(587\) | −6.54326 | − | 30.7836i | −0.270069 | − | 1.27058i | −0.878797 | − | 0.477196i | \(-0.841653\pi\) |
0.608728 | − | 0.793379i | \(-0.291680\pi\) | |||||||
\(588\) | −4.47548 | − | 7.75176i | −0.184566 | − | 0.319677i | ||||
\(589\) | 6.92143 | + | 10.9356i | 0.285193 | + | 0.450592i | ||||
\(590\) | 57.9797i | 2.38699i | ||||||||
\(591\) | 8.51667 | − | 7.66844i | 0.350329 | − | 0.315438i | ||||
\(592\) | 11.4655 | − | 53.9408i | 0.471228 | − | 2.21695i | ||||
\(593\) | 12.1057 | − | 16.6620i | 0.497121 | − | 0.684228i | −0.484561 | − | 0.874758i | \(-0.661020\pi\) |
0.981681 | + | 0.190530i | \(0.0610205\pi\) | |||||||
\(594\) | 0.370403 | − | 0.641557i | 0.0151978 | − | 0.0263234i | ||||
\(595\) | −0.545017 | − | 0.943996i | −0.0223435 | − | 0.0387001i | ||||
\(596\) | 8.90014 | + | 0.935443i | 0.364564 | + | 0.0383172i | ||||
\(597\) | −12.2373 | + | 8.89094i | −0.500840 | + | 0.363882i | ||||
\(598\) | −8.14918 | + | 4.72435i | −0.333245 | + | 0.193193i | ||||
\(599\) | 8.02164 | − | 24.6881i | 0.327755 | − | 1.00873i | −0.642426 | − | 0.766348i | \(-0.722072\pi\) |
0.970181 | − | 0.242380i | \(-0.0779280\pi\) | |||||||
\(600\) | −15.0019 | − | 1.57676i | −0.612449 | − | 0.0643710i | ||||
\(601\) | −30.8354 | + | 6.55426i | −1.25780 | + | 0.267354i | −0.788142 | − | 0.615494i | \(-0.788957\pi\) |
−0.469659 | + | 0.882848i | \(0.655623\pi\) | |||||||
\(602\) | −1.01248 | − | 0.215209i | −0.0412656 | − | 0.00877126i | ||||
\(603\) | 11.1146 | + | 15.2980i | 0.452623 | + | 0.622982i | ||||
\(604\) | −2.87514 | + | 13.5265i | −0.116988 | + | 0.550384i | ||||
\(605\) | −8.17531 | + | 38.4618i | −0.332374 | + | 1.56369i | ||||
\(606\) | −16.1107 | − | 22.1745i | −0.654452 | − | 0.900776i | ||||
\(607\) | 32.3490 | + | 6.87600i | 1.31301 | + | 0.279088i | 0.810629 | − | 0.585560i | \(-0.199125\pi\) |
0.502378 | + | 0.864648i | \(0.332459\pi\) | |||||||
\(608\) | 12.5243 | − | 2.66212i | 0.507927 | − | 0.107963i | ||||
\(609\) | 0.463340 | + | 0.0486990i | 0.0187755 | + | 0.00197338i | ||||
\(610\) | −3.05008 | + | 9.38719i | −0.123494 | + | 0.380076i | ||||
\(611\) | −37.6239 | − | 21.6327i | −1.52210 | − | 0.875164i | ||||
\(612\) | −5.15869 | + | 3.74800i | −0.208528 | + | 0.151504i | ||||
\(613\) | −36.8404 | − | 3.87208i | −1.48797 | − | 0.156392i | −0.674619 | − | 0.738166i | \(-0.735692\pi\) |
−0.813350 | + | 0.581774i | \(0.802359\pi\) | |||||||
\(614\) | −7.10081 | − | 12.2990i | −0.286565 | − | 0.496346i | ||||
\(615\) | −1.84305 | + | 3.19226i | −0.0743191 | + | 0.128724i | ||||
\(616\) | −0.00598769 | + | 0.00824135i | −0.000241251 | + | 0.000332053i | ||||
\(617\) | 9.67713 | − | 45.5273i | 0.389586 | − | 1.83286i | −0.147155 | − | 0.989113i | \(-0.547012\pi\) |
0.536742 | − | 0.843747i | \(-0.319655\pi\) | |||||||
\(618\) | 4.28238 | − | 3.85587i | 0.172263 | − | 0.155106i | ||||
\(619\) | 29.9297i | 1.20297i | 0.798882 | + | 0.601487i | \(0.205425\pi\) | ||||
−0.798882 | + | 0.601487i | \(0.794575\pi\) | |||||||
\(620\) | −20.7158 | + | 5.29229i | −0.831968 | + | 0.212544i | ||||
\(621\) | −4.06694 | − | 7.04415i | −0.163201 | − | 0.282672i | ||||
\(622\) | −6.87834 | − | 32.3600i | −0.275796 | − | 1.29752i | ||||
\(623\) | 0.259722 | + | 0.799343i | 0.0104056 | + | 0.0320250i | ||||
\(624\) | −14.3356 | + | 15.9786i | −0.573884 | + | 0.639655i | ||||
\(625\) | −3.24477 | −0.129791 | ||||||||
\(626\) | 14.7007 | − | 8.48746i | 0.587558 | − | 0.339227i | ||||
\(627\) | 0.0224211 | − | 0.213322i | 0.000895412 | − | 0.00851927i | ||||
\(628\) | −0.726021 | − | 6.90763i | −0.0289714 | − | 0.275644i | ||||
\(629\) | 24.4092 | + | 33.5964i | 0.973259 | + | 1.33958i | ||||
\(630\) | 0.596215 | − | 0.536835i | 0.0237538 | − | 0.0213880i | ||||
\(631\) | 14.5890 | + | 32.7675i | 0.580780 | + | 1.30445i | 0.930051 | + | 0.367431i | \(0.119762\pi\) |
−0.349271 | + | 0.937022i | \(0.613571\pi\) | |||||||
\(632\) | 0.834965 | + | 0.271297i | 0.0332131 | + | 0.0107916i | ||||
\(633\) | −17.4776 | − | 3.71497i | −0.694671 | − | 0.147657i | ||||
\(634\) | −53.0992 | − | 23.6413i | −2.10884 | − | 0.938915i | ||||
\(635\) | −7.98802 | − | 7.19244i | −0.316995 | − | 0.285423i | ||||
\(636\) | −2.66089 | − | 8.18937i | −0.105511 | − | 0.324730i | ||||
\(637\) | −25.2151 | + | 0.0450178i | −0.999060 | + | 0.00178367i | ||||
\(638\) | −0.202281 | − | 0.622558i | −0.00800840 | − | 0.0246473i | ||||
\(639\) | 1.40693 | + | 6.61908i | 0.0556572 | + | 0.261847i | ||||
\(640\) | 4.33616 | − | 41.2558i | 0.171402 | − | 1.63078i | ||||
\(641\) | −25.3085 | − | 28.1080i | −0.999627 | − | 1.11020i | −0.993908 | − | 0.110215i | \(-0.964846\pi\) |
−0.00571941 | − | 0.999984i | \(-0.501821\pi\) | |||||||
\(642\) | 19.2708 | + | 26.5239i | 0.760556 | + | 1.04682i | ||||
\(643\) | 37.3318 | − | 3.92373i | 1.47222 | − | 0.154737i | 0.665824 | − | 0.746109i | \(-0.268080\pi\) |
0.806399 | + | 0.591372i | \(0.201414\pi\) | |||||||
\(644\) | −0.0527320 | − | 0.118438i | −0.00207793 | − | 0.00466712i | ||||
\(645\) | − | 31.0648i | − | 1.22317i | ||||||
\(646\) | −7.66369 | + | 13.2739i | −0.301524 | + | 0.522255i | ||||
\(647\) | −3.74115 | + | 35.5946i | −0.147080 | + | 1.39937i | 0.633224 | + | 0.773969i | \(0.281731\pi\) |
−0.780304 | + | 0.625401i | \(0.784936\pi\) | |||||||
\(648\) | −2.13591 | − | 1.92319i | −0.0839066 | − | 0.0755499i | ||||
\(649\) | −0.221190 | + | 0.680752i | −0.00868246 | + | 0.0267219i | ||||
\(650\) | 28.8802 | − | 39.8998i | 1.13278 | − | 1.56500i | ||||
\(651\) | 0.249740 | − | 0.476309i | 0.00978809 | − | 0.0186680i | ||||
\(652\) | 13.4458 | − | 7.76294i | 0.526579 | − | 0.304020i | ||||
\(653\) | −25.1213 | + | 5.33969i | −0.983071 | + | 0.208958i | −0.671289 | − | 0.741195i | \(-0.734259\pi\) |
−0.311782 | + | 0.950154i | \(0.600926\pi\) | |||||||
\(654\) | 28.2409 | + | 6.00280i | 1.10431 | + | 0.234728i | ||||
\(655\) | 1.95051 | − | 2.68464i | 0.0762127 | − | 0.104898i | ||||
\(656\) | −3.73963 | − | 2.15908i | −0.146008 | − | 0.0842979i | ||||
\(657\) | 10.7079 | + | 6.18222i | 0.417756 | + | 0.241192i | ||||
\(658\) | 1.00511 | − | 1.38342i | 0.0391833 | − | 0.0539311i | ||||
\(659\) | 1.40452 | + | 13.3631i | 0.0547123 | + | 0.520552i | 0.987216 | + | 0.159391i | \(0.0509530\pi\) |
−0.932503 | + | 0.361161i | \(0.882380\pi\) | |||||||
\(660\) | 0.323732 | + | 0.144135i | 0.0126012 | + | 0.00561043i | ||||
\(661\) | −0.310572 | − | 1.46113i | −0.0120799 | − | 0.0568313i | 0.971695 | − | 0.236240i | \(-0.0759150\pi\) |
−0.983775 | + | 0.179408i | \(0.942582\pi\) | |||||||
\(662\) | 6.35411 | + | 4.61653i | 0.246959 | + | 0.179426i | ||||
\(663\) | −1.71846 | − | 16.0739i | −0.0667394 | − | 0.624260i | ||||
\(664\) | 3.31524 | + | 10.2033i | 0.128656 | + | 0.395963i | ||||
\(665\) | 0.274000 | − | 0.615413i | 0.0106252 | − | 0.0238647i | ||||
\(666\) | −20.4520 | + | 22.7143i | −0.792500 | + | 0.880160i | ||||
\(667\) | −7.03026 | − | 1.49433i | −0.272213 | − | 0.0578606i | ||||
\(668\) | −0.526446 | − | 0.724591i | −0.0203688 | − | 0.0280353i | ||||
\(669\) | −4.17348 | + | 19.6347i | −0.161356 | + | 0.759121i | ||||
\(670\) | −55.8046 | + | 50.2467i | −2.15592 | + | 1.94120i | ||||
\(671\) | −0.0716234 | + | 0.0985811i | −0.00276499 | + | 0.00380568i | ||||
\(672\) | −0.356033 | − | 0.395415i | −0.0137343 | − | 0.0152535i | ||||
\(673\) | 15.1169 | + | 6.73048i | 0.582714 | + | 0.259441i | 0.676853 | − | 0.736118i | \(-0.263343\pi\) |
−0.0941393 | + | 0.995559i | \(0.530010\pi\) | |||||||
\(674\) | −13.9811 | + | 31.4021i | −0.538533 | + | 1.20957i | ||||
\(675\) | 34.4092 | + | 24.9997i | 1.32441 | + | 0.962241i | ||||
\(676\) | −4.36065 | − | 13.2594i | −0.167717 | − | 0.509977i | ||||
\(677\) | −19.0895 | −0.733667 | −0.366834 | − | 0.930287i | \(-0.619558\pi\) | ||||
−0.366834 | + | 0.930287i | \(0.619558\pi\) | |||||||
\(678\) | 6.06059 | + | 0.636993i | 0.232755 | + | 0.0244636i | ||||
\(679\) | −0.828273 | + | 0.919890i | −0.0317862 | + | 0.0353022i | ||||
\(680\) | 14.6179 | + | 16.2348i | 0.560570 | + | 0.622576i | ||||
\(681\) | 0.217544i | 0.00833631i | ||||||||
\(682\) | −0.754096 | − | 0.0483570i | −0.0288758 | − | 0.00185168i | ||||
\(683\) | 40.8382 | + | 23.5779i | 1.56263 | + | 0.902184i | 0.996990 | + | 0.0775305i | \(0.0247035\pi\) |
0.565638 | + | 0.824653i | \(0.308630\pi\) | |||||||
\(684\) | −3.74787 | − | 1.21776i | −0.143303 | − | 0.0465621i | ||||
\(685\) | −43.4571 | − | 9.23709i | −1.66041 | − | 0.352931i | ||||
\(686\) | 0.207797 | − | 1.97706i | 0.00793373 | − | 0.0754844i | ||||
\(687\) | −3.92581 | + | 2.26657i | −0.149779 | + | 0.0864750i | ||||
\(688\) | 36.3914 | 1.38741 | ||||||||
\(689\) | −23.7359 | − | 5.00094i | −0.904264 | − | 0.190521i | ||||
\(690\) | 9.01126 | − | 6.54706i | 0.343053 | − | 0.249242i | ||||
\(691\) | −4.27102 | + | 9.59287i | −0.162477 | + | 0.364930i | −0.976377 | − | 0.216076i | \(-0.930674\pi\) |
0.813899 | + | 0.581006i | \(0.197341\pi\) | |||||||
\(692\) | 11.5220 | − | 2.44909i | 0.438002 | − | 0.0931003i | ||||
\(693\) | 0.00904829 | − | 0.00402856i | 0.000343716 | − | 0.000153032i | ||||
\(694\) | −26.5264 | − | 8.61895i | −1.00693 | − | 0.327171i | ||||
\(695\) | 3.10686 | − | 14.6166i | 0.117850 | − | 0.554440i | ||||
\(696\) | −9.28610 | + | 0.976009i | −0.351989 | + | 0.0369955i | ||||
\(697\) | 3.09262 | − | 1.00485i | 0.117142 | − | 0.0380616i | ||||
\(698\) | 34.0656 | + | 7.24086i | 1.28940 | + | 0.274071i | ||||
\(699\) | 16.9498 | + | 7.54656i | 0.641102 | + | 0.285437i | ||||
\(700\) | 0.503795 | + | 0.453619i | 0.0190417 | + | 0.0171452i | ||||
\(701\) | 10.6060 | − | 32.6418i | 0.400582 | − | 1.23287i | −0.523946 | − | 0.851752i | \(-0.675541\pi\) |
0.924528 | − | 0.381114i | \(-0.124459\pi\) | |||||||
\(702\) | 32.7962 | − | 10.7209i | 1.23781 | − | 0.404635i | ||||
\(703\) | −7.93076 | + | 24.4084i | −0.299114 | + | 0.920579i | ||||
\(704\) | 0.0104442 | − | 0.0234581i | 0.000393631 | − | 0.000884110i | ||||
\(705\) | 46.8826 | + | 20.8735i | 1.76570 | + | 0.786141i | ||||
\(706\) | 47.1441 | − | 20.9899i | 1.77429 | − | 0.789966i | ||||
\(707\) | − | 1.06272i | − | 0.0399675i | ||||||
\(708\) | −10.2491 | − | 5.91733i | −0.385185 | − | 0.222387i | ||||
\(709\) | 9.14917 | + | 20.5494i | 0.343604 | + | 0.771748i | 0.999852 | + | 0.0172025i | \(0.00547601\pi\) |
−0.656248 | + | 0.754546i | \(0.727857\pi\) | |||||||
\(710\) | −25.5575 | + | 8.30415i | −0.959157 | + | 0.311649i | ||||
\(711\) | −0.571174 | − | 0.634353i | −0.0214207 | − | 0.0237901i | ||||
\(712\) | −8.42230 | − | 14.5879i | −0.315639 | − | 0.546703i | ||||
\(713\) | −4.59971 | + | 6.90504i | −0.172261 | + | 0.258596i | ||||
\(714\) | 0.636941 | 0.0238369 | ||||||||
\(715\) | 0.806567 | − | 0.588208i | 0.0301639 | − | 0.0219977i | ||||
\(716\) | −6.99766 | − | 21.5366i | −0.261515 | − | 0.804860i | ||||
\(717\) | 35.5465 | + | 3.73608i | 1.32751 | + | 0.139527i | ||||
\(718\) | 19.2617 | + | 33.3622i | 0.718840 | + | 1.24507i | ||||
\(719\) | 16.9759 | − | 29.4031i | 0.633094 | − | 1.09655i | −0.353822 | − | 0.935313i | \(-0.615118\pi\) |
0.986916 | − | 0.161238i | \(-0.0515487\pi\) | |||||||
\(720\) | −16.5793 | + | 22.8194i | −0.617873 | + | 0.850430i | ||||
\(721\) | 0.222202 | − | 0.0233543i | 0.00827522 | − | 0.000869761i | ||||
\(722\) | 23.7076 | − | 2.49177i | 0.882306 | − | 0.0927341i | ||||
\(723\) | −9.02498 | − | 2.93239i | −0.335642 | − | 0.109057i | ||||
\(724\) | 19.4475 | − | 8.65857i | 0.722760 | − | 0.321793i | ||||
\(725\) | 36.7612 | − | 7.81384i | 1.36528 | − | 0.290199i | ||||
\(726\) | −17.0749 | − | 15.3743i | −0.633709 | − | 0.570594i | ||||
\(727\) | −31.8278 | + | 23.1243i | −1.18043 | + | 0.857632i | −0.992220 | − | 0.124497i | \(-0.960268\pi\) |
−0.188209 | + | 0.982129i | \(0.560268\pi\) | |||||||
\(728\) | −0.463922 | + | 0.0994757i | −0.0171941 | + | 0.00368681i | ||||
\(729\) | 6.89567 | + | 21.2227i | 0.255395 | + | 0.786026i | ||||
\(730\) | −19.9714 | + | 44.8564i | −0.739173 | + | 1.66021i | ||||
\(731\) | −18.3372 | + | 20.3655i | −0.678224 | + | 0.753245i | ||||
\(732\) | −1.34809 | − | 1.49721i | −0.0498270 | − | 0.0553385i | ||||
\(733\) | 26.0574 | − | 35.8649i | 0.962452 | − | 1.32470i | 0.0166835 | − | 0.999861i | \(-0.494689\pi\) |
0.945769 | − | 0.324841i | \(-0.105311\pi\) | |||||||
\(734\) | −14.7999 | + | 13.3259i | −0.546274 | + | 0.491867i | ||||
\(735\) | 29.6532 | − | 3.11668i | 1.09378 | − | 0.114961i | ||||
\(736\) | 4.82480 | + | 6.64077i | 0.177845 | + | 0.244782i | ||||
\(737\) | −0.846903 | + | 0.377065i | −0.0311961 | + | 0.0138894i | ||||
\(738\) | 1.19669 | + | 2.07272i | 0.0440507 | + | 0.0762980i | ||||
\(739\) | 20.3564 | − | 11.7528i | 0.748821 | − | 0.432332i | −0.0764468 | − | 0.997074i | \(-0.524358\pi\) |
0.825268 | + | 0.564742i | \(0.191024\pi\) | |||||||
\(740\) | −34.3023 | − | 24.9221i | −1.26098 | − | 0.916153i | ||||
\(741\) | 7.41244 | − | 6.69819i | 0.272303 | − | 0.246064i | ||||
\(742\) | 0.295344 | − | 0.908975i | 0.0108424 | − | 0.0333695i | ||||
\(743\) | −34.3845 | + | 19.8519i | −1.26145 | + | 0.728296i | −0.973354 | − | 0.229306i | \(-0.926354\pi\) |
−0.288092 | + | 0.957603i | \(0.593021\pi\) | |||||||
\(744\) | −2.91111 | + | 10.3781i | −0.106726 | + | 0.380478i | ||||
\(745\) | −14.9053 | + | 25.8167i | −0.546088 | + | 0.945852i | ||||
\(746\) | 39.1688 | + | 12.7267i | 1.43407 | + | 0.465958i | ||||
\(747\) | 2.16874 | − | 10.2031i | 0.0793500 | − | 0.373312i | ||||
\(748\) | −0.127151 | − | 0.285587i | −0.00464912 | − | 0.0104421i | ||||
\(749\) | 1.27116i | 0.0464473i | ||||||||
\(750\) | −10.4348 | + | 18.0735i | −0.381024 | + | 0.659953i | ||||
\(751\) | −2.59496 | + | 24.6894i | −0.0946915 | + | 0.900930i | 0.839308 | + | 0.543656i | \(0.182960\pi\) |
−0.934000 | + | 0.357274i | \(0.883706\pi\) | |||||||
\(752\) | −24.4526 | + | 54.9215i | −0.891696 | + | 2.00278i | ||||
\(753\) | −11.8774 | + | 8.62945i | −0.432837 | + | 0.314475i | ||||
\(754\) | 12.3511 | − | 27.8749i | 0.449801 | − | 1.01514i | ||||
\(755\) | −37.2671 | − | 27.0761i | −1.35629 | − | 0.985402i | ||||
\(756\) | 0.0987367 | + | 0.464520i | 0.00359102 | + | 0.0168944i | ||||
\(757\) | −9.63962 | + | 10.7059i | −0.350358 | + | 0.389112i | −0.892404 | − | 0.451237i | \(-0.850983\pi\) |
0.542046 | + | 0.840349i | \(0.317650\pi\) | |||||||
\(758\) | 3.60881 | + | 34.3356i | 0.131078 | + | 1.24712i | ||||
\(759\) | 0.130780 | − | 0.0424929i | 0.00474701 | − | 0.00154240i | ||||
\(760\) | −2.80705 | + | 13.2061i | −0.101822 | + | 0.479036i | ||||
\(761\) | 12.7478 | − | 1.33985i | 0.462109 | − | 0.0485696i | 0.129386 | − | 0.991594i | \(-0.458699\pi\) |
0.332723 | + | 0.943025i | \(0.392033\pi\) | |||||||
\(762\) | 5.97353 | − | 1.94092i | 0.216398 | − | 0.0703121i | ||||
\(763\) | 0.749044 | + | 0.831898i | 0.0271172 | + | 0.0301167i | ||||
\(764\) | 0.448110 | − | 4.26348i | 0.0162120 | − | 0.154247i | ||||
\(765\) | −4.41620 | − | 20.7766i | −0.159668 | − | 0.751178i | ||||
\(766\) | −12.7517 | + | 9.26466i | −0.460738 | + | 0.334746i | ||||
\(767\) | −28.8423 | + | 16.7208i | −1.04144 | + | 0.603755i | ||||
\(768\) | 18.9707 | + | 13.7830i | 0.684545 | + | 0.497351i | ||||
\(769\) | 39.7191 | − | 22.9319i | 1.43231 | − | 0.826944i | 0.435012 | − | 0.900425i | \(-0.356744\pi\) |
0.997297 | + | 0.0734805i | \(0.0234107\pi\) | |||||||
\(770\) | 0.0196665 | + | 0.0340633i | 0.000708730 | + | 0.00122756i | ||||
\(771\) | −13.0699 | + | 5.81911i | −0.470702 | + | 0.209570i | ||||
\(772\) | 0.937181 | − | 0.304509i | 0.0337299 | − | 0.0109595i | ||||
\(773\) | −25.0662 | + | 22.5697i | −0.901569 | + | 0.811776i | −0.982753 | − | 0.184923i | \(-0.940797\pi\) |
0.0811840 | + | 0.996699i | \(0.474130\pi\) | |||||||
\(774\) | −17.4679 | − | 10.0851i | −0.627872 | − | 0.362502i | ||||
\(775\) | 7.28669 | − | 42.7677i | 0.261746 | − | 1.53626i | ||||
\(776\) | 12.4041 | − | 21.4846i | 0.445283 | − | 0.771252i | ||||
\(777\) | 1.04320 | − | 0.221739i | 0.0374246 | − | 0.00795485i | ||||
\(778\) | −0.474749 | − | 0.427466i | −0.0170206 | − | 0.0153254i | ||||
\(779\) | 1.62583 | + | 1.18124i | 0.0582514 | + | 0.0423222i | ||||
\(780\) | 6.74017 | + | 15.0662i | 0.241337 | + | 0.539457i | ||||
\(781\) | −0.331756 | −0.0118712 | ||||||||
\(782\) | −9.77226 | − | 1.02711i | −0.349455 | − | 0.0367292i | ||||
\(783\) | 24.0511 | + | 10.7082i | 0.859517 | + | 0.382681i | ||||
\(784\) | 3.65109 | + | 34.7378i | 0.130396 | + | 1.24064i | ||||
\(785\) | 22.0044 | + | 7.14965i | 0.785370 | + | 0.255182i | ||||
\(786\) | 0.788682 | + | 1.77141i | 0.0281314 | + | 0.0631841i | ||||
\(787\) | 37.7863 | − | 34.0229i | 1.34693 | − | 1.21279i | 0.390583 | − | 0.920568i | \(-0.372273\pi\) |
0.956352 | − | 0.292218i | \(-0.0943932\pi\) | |||||||
\(788\) | 9.81715 | − | 3.18979i | 0.349722 | − | 0.113631i | ||||
\(789\) | −3.57386 | − | 34.0030i | −0.127233 | − | 1.21054i | ||||
\(790\) | 2.26824 | − | 2.51913i | 0.0807002 | − | 0.0896267i | ||||
\(791\) | 0.175588 | + | 0.158100i | 0.00624320 | + | 0.00562140i | ||||
\(792\) | −0.160594 | + | 0.116678i | −0.00570644 | + | 0.00414597i | ||||
\(793\) | −5.54933 | + | 1.18990i | −0.197062 | + | 0.0422548i | ||||
\(794\) | −8.86559 | + | 27.2855i | −0.314628 | + | 0.968326i | ||||
\(795\) | 28.5264 | + | 2.99824i | 1.01173 | + | 0.106337i | ||||
\(796\) | −13.3265 | + | 2.83264i | −0.472345 | + | 0.100400i | ||||
\(797\) | −3.76483 | − | 35.8200i | −0.133357 | − | 1.26881i | −0.832580 | − | 0.553905i | \(-0.813137\pi\) |
0.699223 | − | 0.714904i | \(-0.253529\pi\) | |||||||
\(798\) | 0.231374 | + | 0.318459i | 0.00819056 | + | 0.0112733i | ||||
\(799\) | −18.4140 | − | 41.3585i | −0.651440 | − | 1.46316i | ||||
\(800\) | −37.1715 | − | 21.4610i | −1.31421 | − | 0.758761i | ||||
\(801\) | 16.3778i | 0.578682i | ||||||||
\(802\) | 3.92224 | − | 1.74629i | 0.138499 | − | 0.0616637i | ||||
\(803\) | −0.405613 | + | 0.450479i | −0.0143138 | + | 0.0158971i | ||||
\(804\) | −3.18680 | − | 14.9927i | −0.112390 | − | 0.528753i | ||||
\(805\) | 0.431866 | 0.0152213 | ||||||||
\(806\) | −24.6393 | − | 25.1317i | −0.867883 | − | 0.885227i | ||||
\(807\) | −19.2337 | −0.677059 | ||||||||
\(808\) | 4.42823 | + | 20.8332i | 0.155784 | + | 0.732908i | ||||
\(809\) | 11.9629 | − | 13.2862i | 0.420594 | − | 0.467117i | −0.495192 | − | 0.868784i | \(-0.664902\pi\) |
0.915786 | + | 0.401667i | \(0.131569\pi\) | |||||||
\(810\) | −10.1381 | + | 4.51377i | −0.356216 | + | 0.158598i | ||||
\(811\) | 4.04402i | 0.142005i | 0.997476 | + | 0.0710023i | \(0.0226198\pi\) | ||||
−0.997476 | + | 0.0710023i | \(0.977380\pi\) | |||||||
\(812\) | 0.363412 | + | 0.209816i | 0.0127533 | + | 0.00736309i | ||||
\(813\) | 0.992962 | + | 2.23023i | 0.0348247 | + | 0.0782175i | ||||
\(814\) | −0.880786 | − | 1.21230i | −0.0308715 | − | 0.0424910i | ||||
\(815\) | 5.40603 | + | 51.4350i | 0.189365 | + | 1.80169i | ||||
\(816\) | −21.9039 | + | 4.65581i | −0.766789 | + | 0.162986i | ||||
\(817\) | −16.8435 | − | 1.77032i | −0.589280 | − | 0.0619358i | ||||
\(818\) | 18.1671 | − | 55.9126i | 0.635198 | − | 1.95494i | ||||
\(819\) | 0.438995 | + | 0.141772i | 0.0153397 | + | 0.00495392i | ||||
\(820\) | −2.68602 | + | 1.95150i | −0.0937997 | + | 0.0681495i | ||||
\(821\) | 17.2044 | + | 15.4909i | 0.600438 | + | 0.540637i | 0.912317 | − | 0.409485i | \(-0.134292\pi\) |
−0.311879 | + | 0.950122i | \(0.600958\pi\) | |||||||
\(822\) | 17.3711 | − | 19.2925i | 0.605886 | − | 0.672905i | ||||
\(823\) | 4.94882 | + | 47.0849i | 0.172505 | + | 1.64128i | 0.648059 | + | 0.761590i | \(0.275581\pi\) |
−0.475554 | + | 0.879687i | \(0.657752\pi\) | |||||||
\(824\) | −4.25866 | + | 1.38372i | −0.148358 | + | 0.0482043i | ||||
\(825\) | −0.534351 | + | 0.481132i | −0.0186037 | + | 0.0167509i | ||||
\(826\) | −0.534282 | − | 1.20002i | −0.0185900 | − | 0.0417539i | ||||
\(827\) | 48.1224 | + | 15.6359i | 1.67338 | + | 0.543714i | 0.983609 | − | 0.180313i | \(-0.0577112\pi\) |
0.689771 | + | 0.724028i | \(0.257711\pi\) | |||||||
\(828\) | −0.264074 | − | 2.51250i | −0.00917720 | − | 0.0873153i | ||||
\(829\) | 17.2322 | + | 7.67228i | 0.598500 | + | 0.266469i | 0.683546 | − | 0.729908i | \(-0.260437\pi\) |
−0.0850460 | + | 0.996377i | \(0.527104\pi\) | |||||||
\(830\) | 41.1967 | + | 4.32995i | 1.42996 | + | 0.150295i | ||||
\(831\) | −4.27111 | −0.148163 | ||||||||
\(832\) | 1.09172 | − | 0.488403i | 0.0378487 | − | 0.0169323i | ||||
\(833\) | −21.2798 | − | 15.4607i | −0.737303 | − | 0.535682i | ||||
\(834\) | 6.48897 | + | 5.84269i | 0.224695 | + | 0.202316i | ||||
\(835\) | 2.91828 | − | 0.620301i | 0.100991 | − | 0.0214664i | ||||
\(836\) | 0.0965995 | − | 0.167315i | 0.00334096 | − | 0.00578672i | ||||
\(837\) | 21.7394 | − | 21.2375i | 0.751423 | − | 0.734074i | ||||
\(838\) | −19.3269 | − | 11.1584i | −0.667638 | − | 0.385461i | ||||
\(839\) | 11.8721 | − | 10.6897i | 0.409872 | − | 0.369050i | −0.438249 | − | 0.898854i | \(-0.644401\pi\) |
0.848120 | + | 0.529804i | \(0.177734\pi\) | |||||||
\(840\) | 0.533591 | − | 0.173374i | 0.0184106 | − | 0.00598197i | ||||
\(841\) | −5.24062 | + | 2.33327i | −0.180711 | + | 0.0804577i | ||||
\(842\) | −19.0267 | − | 32.9552i | −0.655703 | − | 1.13571i | ||||
\(843\) | −9.01848 | + | 5.20682i | −0.310613 | + | 0.179333i | ||||
\(844\) | −13.0202 | − | 9.45971i | −0.448173 | − | 0.325617i | ||||
\(845\) | 46.2580 | + | 4.69498i | 1.59132 | + | 0.161512i | ||||
\(846\) | 26.9577 | − | 19.5859i | 0.926823 | − | 0.673377i | ||||
\(847\) | −0.185219 | − | 0.871386i | −0.00636419 | − | 0.0299412i | ||||
\(848\) | −3.51235 | + | 33.4177i | −0.120614 | + | 1.14757i | ||||
\(849\) | 4.75785 | + | 5.28413i | 0.163289 | + | 0.181351i | ||||
\(850\) | 48.8659 | − | 15.8775i | 1.67609 | − | 0.544593i | ||||
\(851\) | −16.3629 | + | 1.71981i | −0.560912 | + | 0.0589542i | ||||
\(852\) | 1.14044 | − | 5.36533i | 0.0390707 | − | 0.183813i | ||||
\(853\) | 8.98029 | − | 2.91787i | 0.307479 | − | 0.0999060i | −0.151213 | − | 0.988501i | \(-0.548318\pi\) |
0.458692 | + | 0.888595i | \(0.348318\pi\) | |||||||
\(854\) | −0.0233746 | − | 0.222395i | −0.000799864 | − | 0.00761020i | ||||
\(855\) | 8.78370 | − | 9.75528i | 0.300396 | − | 0.333624i | ||||
\(856\) | −5.29681 | − | 24.9195i | −0.181041 | − | 0.851732i | ||||
\(857\) | −11.4758 | − | 8.33769i | −0.392007 | − | 0.284810i | 0.374270 | − | 0.927320i | \(-0.377893\pi\) |
−0.766278 | + | 0.642510i | \(0.777893\pi\) | |||||||
\(858\) | 0.0620091 | + | 0.580015i | 0.00211696 | + | 0.0198014i | ||||
\(859\) | 18.3843 | − | 13.3570i | 0.627266 | − | 0.455735i | −0.228186 | − | 0.973618i | \(-0.573279\pi\) |
0.855452 | + | 0.517882i | \(0.173279\pi\) | |||||||
\(860\) | 11.3806 | − | 25.5612i | 0.388075 | − | 0.871630i | ||||
\(861\) | 0.00872938 | − | 0.0830545i | 0.000297497 | − | 0.00283049i | ||||
\(862\) | −20.2312 | + | 35.0414i | −0.689076 | + | 1.19352i | ||||
\(863\) | 18.7050i | 0.636726i | 0.947969 | + | 0.318363i | \(0.103133\pi\) | ||||
−0.947969 | + | 0.318363i | \(0.896867\pi\) | |||||||
\(864\) | −12.2296 | − | 27.4682i | −0.416060 | − | 0.934485i | ||||
\(865\) | −8.15816 | + | 38.3811i | −0.277386 | + | 1.30500i | ||||
\(866\) | −5.78238 | − | 1.87881i | −0.196493 | − | 0.0638446i | ||||
\(867\) | −1.70093 | + | 2.94610i | −0.0577668 | + | 0.100055i | ||||
\(868\) | 0.379991 | − | 0.300431i | 0.0128977 | − | 0.0101973i | ||||
\(869\) | 0.0362422 | − | 0.0209245i | 0.00122943 | − | 0.000709814i | ||||
\(870\) | −11.1408 | + | 34.2879i | −0.377709 | + | 1.16247i | ||||
\(871\) | −41.0890 | − | 13.2696i | −1.39225 | − | 0.449623i | ||||
\(872\) | −18.1505 | − | 13.1871i | −0.614653 | − | 0.446571i | ||||
\(873\) | −20.8893 | + | 12.0604i | −0.706994 | + | 0.408183i | ||||
\(874\) | −3.03632 | − | 5.25906i | −0.102705 | − | 0.177890i | ||||
\(875\) | −0.739204 | + | 0.329115i | −0.0249897 | + | 0.0111261i | ||||
\(876\) | −5.89105 | − | 8.10834i | −0.199040 | − | 0.273955i | ||||
\(877\) | −23.3167 | + | 2.45069i | −0.787350 | + | 0.0827538i | −0.489666 | − | 0.871910i | \(-0.662881\pi\) |
−0.297685 | + | 0.954664i | \(0.596214\pi\) | |||||||
\(878\) | 50.5436 | − | 45.5097i | 1.70576 | − | 1.53588i | ||||
\(879\) | 5.92337 | − | 8.15282i | 0.199790 | − | 0.274988i | ||||
\(880\) | −0.925304 | − | 1.02765i | −0.0311920 | − | 0.0346422i | ||||
\(881\) | −24.9118 | + | 27.6674i | −0.839300 | + | 0.932137i | −0.998480 | − | 0.0551126i | \(-0.982448\pi\) |
0.159180 | + | 0.987250i | \(0.449115\pi\) | |||||||
\(882\) | 7.87434 | − | 17.6861i | 0.265143 | − | 0.595521i | ||||
\(883\) | −0.793811 | − | 2.44310i | −0.0267139 | − | 0.0822169i | 0.936811 | − | 0.349837i | \(-0.113763\pi\) |
−0.963525 | + | 0.267620i | \(0.913763\pi\) | |||||||
\(884\) | 4.47468 | − | 13.8558i | 0.150500 | − | 0.466020i | ||||
\(885\) | 31.8935 | − | 23.1719i | 1.07209 | − | 0.778917i | ||||
\(886\) | −20.2287 | − | 18.2140i | −0.679597 | − | 0.611912i | ||||
\(887\) | 17.3364 | − | 3.68496i | 0.582099 | − | 0.123729i | 0.0925551 | − | 0.995708i | \(-0.470497\pi\) |
0.489544 | + | 0.871979i | \(0.337163\pi\) | |||||||
\(888\) | −19.5266 | + | 8.69382i | −0.655271 | + | 0.291745i | ||||
\(889\) | 0.231608 | + | 0.0752539i | 0.00776787 | + | 0.00252393i | ||||
\(890\) | −64.6831 | + | 6.79846i | −2.16818 | + | 0.227885i | ||||
\(891\) | −0.136253 | + | 0.0143208i | −0.00456466 | + | 0.000479765i | ||||
\(892\) | −10.6273 | + | 14.6272i | −0.355827 | + | 0.489754i | ||||
\(893\) | 13.9895 | − | 24.2305i | 0.468140 | − | 0.810842i | ||||
\(894\) | −8.70964 | − | 15.0855i | −0.291294 | − | 0.504536i | ||||
\(895\) | 75.0193 | + | 7.88484i | 2.50762 | + | 0.263561i | ||||
\(896\) | 0.290425 | + | 0.893837i | 0.00970242 | + | 0.0298610i | ||||
\(897\) | 5.85564 | + | 2.59458i | 0.195514 | + | 0.0866306i | ||||
\(898\) | 21.4928 | 0.717224 | ||||||||
\(899\) | −1.09219 | − | 26.8323i | −0.0364264 | − | 0.894908i | ||||
\(900\) | 6.60511 | + | 11.4404i | 0.220170 | + | 0.381346i | ||||
\(901\) | −16.9315 | − | 18.8044i | −0.564071 | − | 0.626464i | ||||
\(902\) | −0.111595 | + | 0.0362593i | −0.00371570 | + | 0.00120730i | ||||
\(903\) | 0.286261 | + | 0.642953i | 0.00952618 | + | 0.0213962i | ||||
\(904\) | −4.10097 | − | 2.36769i | −0.136396 | − | 0.0787484i | ||||
\(905\) | 70.9122i | 2.35720i | ||||||||
\(906\) | 24.5900 | − | 10.9482i | 0.816947 | − | 0.363728i | ||||
\(907\) | −23.4247 | − | 10.4294i | −0.777805 | − | 0.346301i | −0.0208620 | − | 0.999782i | \(-0.506641\pi\) |
−0.756943 | + | 0.653481i | \(0.773308\pi\) | |||||||
\(908\) | −0.0796973 | + | 0.179003i | −0.00264485 | + | 0.00594043i | ||||
\(909\) | 6.39925 | − | 19.6949i | 0.212250 | − | 0.653237i | ||||
\(910\) | −0.377691 | + | 1.79263i | −0.0125203 | + | 0.0594250i | ||||
\(911\) | 1.68471 | − | 5.18499i | 0.0558168 | − | 0.171786i | −0.919262 | − | 0.393647i | \(-0.871213\pi\) |
0.975078 | + | 0.221861i | \(0.0712131\pi\) | |||||||
\(912\) | −10.2846 | − | 9.26029i | −0.340557 | − | 0.306639i | ||||
\(913\) | 0.467181 | + | 0.208002i | 0.0154614 | + | 0.00688387i | ||||
\(914\) | 2.92691 | + | 0.622134i | 0.0968136 | + | 0.0205784i | ||||
\(915\) | 6.38269 | − | 2.07386i | 0.211005 | − | 0.0685597i | ||||
\(916\) | −4.06066 | + | 0.426792i | −0.134168 | + | 0.0141016i | ||||
\(917\) | −0.0156311 | + | 0.0735385i | −0.000516184 | + | 0.00242845i | ||||
\(918\) | 34.2314 | + | 11.1225i | 1.12981 | + | 0.367096i | ||||
\(919\) | −42.6766 | + | 19.0008i | −1.40777 | + | 0.626780i | −0.963156 | − | 0.268943i | \(-0.913326\pi\) |
−0.444614 | + | 0.895722i | \(0.646659\pi\) | |||||||
\(920\) | −8.46618 | + | 1.79954i | −0.279122 | + | 0.0593292i | ||||
\(921\) | −3.92753 | + | 8.82137i | −0.129416 | + | 0.290674i | ||||
\(922\) | 19.6863 | − | 14.3029i | 0.648333 | − | 0.471041i | ||||
\(923\) | −11.5015 | − | 10.3189i | −0.378577 | − | 0.339650i | ||||
\(924\) | −0.00802853 | −0.000264119 | ||||||||
\(925\) | 74.5065 | − | 43.0164i | 2.44976 | − | 1.41437i | ||||
\(926\) | −0.604423 | + | 5.75070i | −0.0198626 | + | 0.188980i | ||||
\(927\) | 4.25860 | + | 0.905194i | 0.139871 | + | 0.0297305i | ||||
\(928\) | −25.2682 | − | 8.21014i | −0.829469 | − | 0.269511i | ||||
\(929\) | −0.106045 | − | 0.0612251i | −0.00347922 | − | 0.00200873i | 0.498259 | − | 0.867028i | \(-0.333973\pi\) |
−0.501739 | + | 0.865019i | \(0.667306\pi\) | |||||||
\(930\) | 32.0350 | + | 26.5668i | 1.05047 | + | 0.871160i | ||||
\(931\) | − | 16.2558i | − | 0.532762i | ||||||
\(932\) | 11.1823 | + | 12.4192i | 0.366287 | + | 0.406803i | ||||
\(933\) | −15.0516 | + | 16.7165i | −0.492768 | + | 0.547274i | ||||
\(934\) | 61.9395 | + | 6.51011i | 2.02672 | + | 0.213017i | ||||
\(935\) | 1.04135 | 0.0340557 | ||||||||
\(936\) | −9.19668 | − | 0.950012i | −0.300603 | − | 0.0310521i | ||||
\(937\) | −29.1249 | − | 21.1604i | −0.951468 | − | 0.691282i | −0.000314018 | − | 1.00000i | \(-0.500100\pi\) |
−0.951154 | + | 0.308718i | \(0.900100\pi\) | |||||||
\(938\) | 0.691976 | − | 1.55420i | 0.0225938 | − | 0.0507465i | ||||
\(939\) | −10.5440 | − | 4.69449i | −0.344091 | − | 0.153199i | ||||
\(940\) | 30.9297 | + | 34.3509i | 1.00881 | + | 1.12040i | ||||
\(941\) | 22.9704 | − | 31.6160i | 0.748812 | − | 1.03065i | −0.249251 | − | 0.968439i | \(-0.580184\pi\) |
0.998063 | − | 0.0622127i | \(-0.0198157\pi\) | |||||||
\(942\) | −10.0470 | + | 9.04634i | −0.327348 | + | 0.294746i | ||||
\(943\) | −0.267861 | + | 1.26019i | −0.00872275 | + | 0.0410373i | ||||
\(944\) | 27.1452 | + | 37.3622i | 0.883501 | + | 1.21604i | ||||
\(945\) | −1.54736 | − | 0.328902i | −0.0503357 | − | 0.0106992i | ||||
\(946\) | 0.661681 | − | 0.734871i | 0.0215131 | − | 0.0238927i | ||||
\(947\) | −8.28718 | + | 18.6133i | −0.269297 | + | 0.604851i | −0.996683 | − | 0.0813771i | \(-0.974068\pi\) |
0.727386 | + | 0.686228i | \(0.240735\pi\) | |||||||
\(948\) | 0.213816 | + | 0.658057i | 0.00694441 | + | 0.0213727i | ||||
\(949\) | −28.0736 | + | 3.00134i | −0.911309 | + | 0.0974277i | ||||
\(950\) | 25.6894 | + | 18.6644i | 0.833474 | + | 0.605555i | ||||
\(951\) | 8.21683 | + | 38.6572i | 0.266449 | + | 1.25354i | ||||
\(952\) | −0.452152 | − | 0.201311i | −0.0146543 | − | 0.00652453i | ||||
\(953\) | 2.85380 | + | 27.1521i | 0.0924437 | + | 0.879543i | 0.938228 | + | 0.346018i | \(0.112466\pi\) |
−0.845784 | + | 0.533525i | \(0.820867\pi\) | |||||||
\(954\) | 10.9470 | − | 15.0672i | 0.354421 | − | 0.487819i | ||||
\(955\) | 12.3671 | + | 7.14016i | 0.400191 | + | 0.231050i | ||||
\(956\) | 27.8802 | + | 16.0966i | 0.901710 | + | 0.520602i | ||||
\(957\) | −0.261613 | + | 0.360080i | −0.00845676 | + | 0.0116397i | ||||
\(958\) | −3.51145 | − | 0.746382i | −0.113450 | − | 0.0241145i | ||||
\(959\) | 0.984559 | − | 0.209275i | 0.0317931 | − | 0.00675783i | ||||
\(960\) | −1.22477 | + | 0.707121i | −0.0395293 | + | 0.0228222i | ||||
\(961\) | −29.2510 | − | 10.2655i | −0.943580 | − | 0.331144i | ||||
\(962\) | 7.17151 | − | 69.4244i | 0.231219 | − | 2.23833i | ||||
\(963\) | −7.65444 | + | 23.5580i | −0.246661 | + | 0.759144i | ||||
\(964\) | −6.35179 | − | 5.71918i | −0.204577 | − | 0.184202i | ||||
\(965\) | −0.343115 | + | 3.26452i | −0.0110453 | + | 0.105089i | ||||
\(966\) | −0.126177 | + | 0.218544i | −0.00405967 | + | 0.00703155i | ||||
\(967\) | 5.95599i | 0.191532i | 0.995404 | + | 0.0957659i | \(0.0305300\pi\) | ||||
−0.995404 | + | 0.0957659i | \(0.969470\pi\) | |||||||
\(968\) | 7.26195 | + | 16.3106i | 0.233408 | + | 0.524243i | ||||
\(969\) | 10.3645 | − | 1.08936i | 0.332957 | − | 0.0349952i | ||||
\(970\) | −56.3029 | − | 77.4943i | −1.80778 | − | 2.48819i | ||||
\(971\) | −4.27173 | − | 4.74424i | −0.137086 | − | 0.152250i | 0.670692 | − | 0.741736i | \(-0.265997\pi\) |
−0.807779 | + | 0.589486i | \(0.799330\pi\) | |||||||
\(972\) | −1.60105 | + | 15.2330i | −0.0513538 | + | 0.488598i | ||||
\(973\) | 0.0703886 | + | 0.331152i | 0.00225656 | + | 0.0106163i | ||||
\(974\) | 13.4445 | + | 41.3778i | 0.430789 | + | 1.32583i | ||||
\(975\) | −33.4902 | + | 0.0597916i | −1.07255 | + | 0.00191486i | ||||
\(976\) | 2.42946 | + | 7.47712i | 0.0777652 | + | 0.239337i | ||||
\(977\) | −40.9500 | − | 36.8715i | −1.31011 | − | 1.17963i | −0.971055 | − | 0.238857i | \(-0.923227\pi\) |
−0.339052 | − | 0.940768i | \(-0.610106\pi\) | |||||||
\(978\) | −27.6079 | − | 12.2918i | −0.882804 | − | 0.393050i | ||||
\(979\) | −0.785394 | − | 0.166941i | −0.0251013 | − | 0.00533544i | ||||
\(980\) | 25.5415 | + | 8.29895i | 0.815895 | + | 0.265100i | ||||
\(981\) | 8.87237 | + | 19.9277i | 0.283273 | + | 0.636241i | ||||
\(982\) | −27.1715 | + | 24.4653i | −0.867077 | + | 0.780719i | ||||
\(983\) | −9.18977 | − | 12.6486i | −0.293108 | − | 0.403429i | 0.636912 | − | 0.770936i | \(-0.280211\pi\) |
−0.930021 | + | 0.367507i | \(0.880211\pi\) | |||||||
\(984\) | 0.174951 | + | 1.66455i | 0.00557725 | + | 0.0530640i | ||||
\(985\) | −3.59420 | + | 34.1965i | −0.114521 | + | 1.08959i | ||||
\(986\) | 27.5434 | − | 15.9022i | 0.877162 | − | 0.506430i | ||||
\(987\) | −1.16269 | −0.0370087 | ||||||||
\(988\) | 8.55310 | − | 2.79596i | 0.272110 | − | 0.0889515i | ||||
\(989\) | −3.35516 | − | 10.3261i | −0.106688 | − | 0.328351i | ||||
\(990\) | 0.159355 | + | 0.749705i | 0.00506462 | + | 0.0238272i | ||||
\(991\) | 1.89710 | + | 3.28587i | 0.0602634 | + | 0.104379i | 0.894583 | − | 0.446902i | \(-0.147473\pi\) |
−0.834320 | + | 0.551281i | \(0.814139\pi\) | |||||||
\(992\) | −19.5782 | + | 23.6079i | −0.621609 | + | 0.749553i | ||||
\(993\) | − | 5.34029i | − | 0.169469i | ||||||
\(994\) | 0.452446 | − | 0.407385i | 0.0143507 | − | 0.0129215i | ||||
\(995\) | 9.43580 | − | 44.3919i | 0.299135 | − | 1.40732i | ||||
\(996\) | −4.96989 | + | 6.84046i | −0.157477 | + | 0.216748i | ||||
\(997\) | 28.2757 | − | 48.9750i | 0.895502 | − | 1.55105i | 0.0623193 | − | 0.998056i | \(-0.480150\pi\) |
0.833182 | − | 0.552998i | \(-0.186516\pi\) | |||||||
\(998\) | −27.2129 | − | 47.1341i | −0.861409 | − | 1.49200i | ||||
\(999\) | 59.9373 | + | 6.29967i | 1.89633 | + | 0.199313i |
(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 | 403.2.bs.a.101.7 | yes | 288 | |
13.4 | even | 6 | inner | 403.2.bs.a.225.30 | yes | 288 | |
31.4 | even | 5 | inner | 403.2.bs.a.283.30 | yes | 288 | |
403.4 | even | 30 | inner | 403.2.bs.a.4.7 | ✓ | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bs.a.4.7 | ✓ | 288 | 403.4 | even | 30 | inner | |
403.2.bs.a.101.7 | yes | 288 | 1.1 | even | 1 | trivial | |
403.2.bs.a.225.30 | yes | 288 | 13.4 | even | 6 | inner | |
403.2.bs.a.283.30 | yes | 288 | 31.4 | even | 5 | inner |