Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [342,2,Mod(25,342)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(342, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([12, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("342.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 342 = 2 \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 342.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.73088374913\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 283.2 | ||
Character | \(\chi\) | \(=\) | 342.283 |
Dual form | 342.2.v.b.313.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/342\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | −1.71473 | − | 0.244308i | −0.990002 | − | 0.141051i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.582433 | + | 3.30314i | −0.260472 | + | 1.47721i | 0.521154 | + | 0.853462i | \(0.325502\pi\) |
−0.781626 | + | 0.623747i | \(0.785609\pi\) | |||||||
\(6\) | 1.69488 | − | 0.356899i | 0.691932 | − | 0.145703i | ||||
\(7\) | 1.43346 | − | 2.48282i | 0.541796 | − | 0.938418i | −0.457005 | − | 0.889464i | \(-0.651078\pi\) |
0.998801 | − | 0.0489538i | \(-0.0155887\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 2.88063 | + | 0.837847i | 0.960209 | + | 0.279282i | ||||
\(10\) | −0.582433 | − | 3.30314i | −0.184181 | − | 1.04454i | ||||
\(11\) | −4.22426 | −1.27366 | −0.636832 | − | 0.771003i | \(-0.719755\pi\) | ||||
−0.636832 | + | 0.771003i | \(0.719755\pi\) | |||||||
\(12\) | −1.47060 | + | 0.915059i | −0.424526 | + | 0.264155i | ||||
\(13\) | 0.835794 | + | 4.74002i | 0.231808 | + | 1.31465i | 0.849234 | + | 0.528017i | \(0.177064\pi\) |
−0.617426 | + | 0.786629i | \(0.711825\pi\) | |||||||
\(14\) | −0.497834 | + | 2.82336i | −0.133052 | + | 0.754574i | ||||
\(15\) | 1.80570 | − | 5.52172i | 0.466230 | − | 1.42570i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 0.584402 | − | 3.31431i | 0.141738 | − | 0.803838i | −0.828190 | − | 0.560447i | \(-0.810629\pi\) |
0.969928 | − | 0.243391i | \(-0.0782597\pi\) | |||||||
\(18\) | −2.99346 | + | 0.197914i | −0.705566 | + | 0.0466488i | ||||
\(19\) | −4.26775 | − | 0.886729i | −0.979090 | − | 0.203429i | ||||
\(20\) | 1.67705 | + | 2.90473i | 0.374999 | + | 0.649518i | ||||
\(21\) | −3.06457 | + | 3.90717i | −0.668744 | + | 0.852615i | ||||
\(22\) | 3.96951 | − | 1.44478i | 0.846302 | − | 0.308029i | ||||
\(23\) | −3.72609 | + | 3.12656i | −0.776944 | + | 0.651933i | −0.942477 | − | 0.334271i | \(-0.891510\pi\) |
0.165533 | + | 0.986204i | \(0.447066\pi\) | |||||||
\(24\) | 1.06894 | − | 1.36285i | 0.218197 | − | 0.278190i | ||||
\(25\) | −5.87305 | − | 2.13762i | −1.17461 | − | 0.427523i | ||||
\(26\) | −2.40657 | − | 4.16831i | −0.471968 | − | 0.817472i | ||||
\(27\) | −4.73482 | − | 2.14044i | −0.911216 | − | 0.411929i | ||||
\(28\) | −0.497834 | − | 2.82336i | −0.0940818 | − | 0.533565i | ||||
\(29\) | −4.88250 | + | 4.09690i | −0.906657 | + | 0.760776i | −0.971480 | − | 0.237121i | \(-0.923796\pi\) |
0.0648227 | + | 0.997897i | \(0.479352\pi\) | |||||||
\(30\) | 0.191734 | + | 5.80630i | 0.0350056 | + | 1.06008i | ||||
\(31\) | −10.5571 | −1.89610 | −0.948052 | − | 0.318116i | \(-0.896950\pi\) | ||||
−0.948052 | + | 0.318116i | \(0.896950\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 7.24349 | + | 1.03202i | 1.26093 | + | 0.179652i | ||||
\(34\) | 0.584402 | + | 3.31431i | 0.100224 | + | 0.568399i | ||||
\(35\) | 7.36621 | + | 6.18099i | 1.24512 | + | 1.04478i | ||||
\(36\) | 2.74525 | − | 1.20980i | 0.457541 | − | 0.201634i | ||||
\(37\) | −7.65590 | −1.25862 | −0.629311 | − | 0.777154i | \(-0.716663\pi\) | ||||
−0.629311 | + | 0.777154i | \(0.716663\pi\) | |||||||
\(38\) | 4.31365 | − | 0.626405i | 0.699767 | − | 0.101616i | ||||
\(39\) | −0.275139 | − | 8.33207i | −0.0440575 | − | 1.33420i | ||||
\(40\) | −2.56939 | − | 2.15597i | −0.406256 | − | 0.340889i | ||||
\(41\) | 3.61180 | − | 1.31459i | 0.564068 | − | 0.205304i | −0.0442178 | − | 0.999022i | \(-0.514080\pi\) |
0.608286 | + | 0.793718i | \(0.291857\pi\) | |||||||
\(42\) | 1.54342 | − | 4.71968i | 0.238155 | − | 0.728263i | ||||
\(43\) | 8.32002 | + | 6.98133i | 1.26879 | + | 1.06464i | 0.994687 | + | 0.102943i | \(0.0328258\pi\) |
0.274104 | + | 0.961700i | \(0.411619\pi\) | |||||||
\(44\) | −3.23597 | + | 2.71531i | −0.487842 | + | 0.409348i | ||||
\(45\) | −4.44530 | + | 9.02713i | −0.662666 | + | 1.34568i | ||||
\(46\) | 2.43203 | − | 4.21241i | 0.358584 | − | 0.621086i | ||||
\(47\) | 1.85247 | − | 1.55441i | 0.270210 | − | 0.226733i | −0.497606 | − | 0.867403i | \(-0.665788\pi\) |
0.767817 | + | 0.640670i | \(0.221343\pi\) | |||||||
\(48\) | −0.538357 | + | 1.64626i | −0.0777051 | + | 0.237617i | ||||
\(49\) | −0.609597 | − | 1.05585i | −0.0870852 | − | 0.150836i | ||||
\(50\) | 6.24997 | 0.883879 | ||||||||
\(51\) | −1.81181 | + | 5.54038i | −0.253704 | + | 0.775809i | ||||
\(52\) | 3.68708 | + | 3.09383i | 0.511306 | + | 0.429037i | ||||
\(53\) | −0.393836 | − | 0.143345i | −0.0540976 | − | 0.0196899i | 0.314830 | − | 0.949148i | \(-0.398053\pi\) |
−0.368927 | + | 0.929458i | \(0.620275\pi\) | |||||||
\(54\) | 5.18135 | + | 0.391957i | 0.705092 | + | 0.0533386i | ||||
\(55\) | 2.46035 | − | 13.9533i | 0.331754 | − | 1.88147i | ||||
\(56\) | 1.43346 | + | 2.48282i | 0.191554 | + | 0.331781i | ||||
\(57\) | 7.10143 | + | 2.56315i | 0.940607 | + | 0.339498i | ||||
\(58\) | 3.18683 | − | 5.51974i | 0.418451 | − | 0.724778i | ||||
\(59\) | −3.25373 | − | 2.73020i | −0.423599 | − | 0.355442i | 0.405931 | − | 0.913904i | \(-0.366947\pi\) |
−0.829530 | + | 0.558462i | \(0.811392\pi\) | |||||||
\(60\) | −2.16604 | − | 5.39056i | −0.279635 | − | 0.695919i | ||||
\(61\) | −2.18094 | − | 12.3687i | −0.279241 | − | 1.58365i | −0.725160 | − | 0.688581i | \(-0.758234\pi\) |
0.445919 | − | 0.895073i | \(-0.352877\pi\) | |||||||
\(62\) | 9.92039 | − | 3.61073i | 1.25989 | − | 0.458563i | ||||
\(63\) | 6.20948 | − | 5.95106i | 0.782321 | − | 0.749763i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −16.1438 | −2.00239 | ||||||||
\(66\) | −7.15963 | + | 1.50764i | −0.881289 | + | 0.185577i | ||||
\(67\) | 7.88148 | + | 2.86862i | 0.962876 | + | 0.350458i | 0.775160 | − | 0.631765i | \(-0.217669\pi\) |
0.187716 | + | 0.982223i | \(0.439892\pi\) | |||||||
\(68\) | −1.68272 | − | 2.91455i | −0.204060 | − | 0.353442i | ||||
\(69\) | 7.15310 | − | 4.45091i | 0.861132 | − | 0.535827i | ||||
\(70\) | −9.03600 | − | 3.28883i | −1.08001 | − | 0.393091i | ||||
\(71\) | −0.368096 | + | 0.133976i | −0.0436850 | + | 0.0159000i | −0.363770 | − | 0.931489i | \(-0.618511\pi\) |
0.320085 | + | 0.947389i | \(0.396288\pi\) | |||||||
\(72\) | −2.16591 | + | 2.07577i | −0.255255 | + | 0.244632i | ||||
\(73\) | 6.25923 | + | 5.25212i | 0.732588 | + | 0.614714i | 0.930836 | − | 0.365438i | \(-0.119081\pi\) |
−0.198248 | + | 0.980152i | \(0.563525\pi\) | |||||||
\(74\) | 7.19419 | − | 2.61847i | 0.836308 | − | 0.304391i | ||||
\(75\) | 9.54848 | + | 5.10028i | 1.10256 | + | 0.588929i | ||||
\(76\) | −3.83927 | + | 2.06398i | −0.440394 | + | 0.236755i | ||||
\(77\) | −6.05530 | + | 10.4881i | −0.690066 | + | 1.19523i | ||||
\(78\) | 3.10828 | + | 7.73548i | 0.351944 | + | 0.875871i | ||||
\(79\) | −1.44744 | + | 8.20884i | −0.162850 | + | 0.923567i | 0.788404 | + | 0.615158i | \(0.210908\pi\) |
−0.951254 | + | 0.308409i | \(0.900203\pi\) | |||||||
\(80\) | 3.15182 | + | 1.14717i | 0.352384 | + | 0.128257i | ||||
\(81\) | 7.59603 | + | 4.82705i | 0.844003 | + | 0.536339i | ||||
\(82\) | −2.94437 | + | 2.47062i | −0.325151 | + | 0.272834i | ||||
\(83\) | 2.62126 | − | 4.54016i | 0.287721 | − | 0.498347i | −0.685545 | − | 0.728031i | \(-0.740436\pi\) |
0.973265 | + | 0.229684i | \(0.0737692\pi\) | |||||||
\(84\) | 0.163884 | + | 4.96293i | 0.0178812 | + | 0.541501i | ||||
\(85\) | 10.6073 | + | 3.86072i | 1.15052 | + | 0.418754i | ||||
\(86\) | −10.2060 | − | 3.71469i | −1.10054 | − | 0.400565i | ||||
\(87\) | 9.37310 | − | 5.83227i | 1.00490 | − | 0.625285i | ||||
\(88\) | 2.11213 | − | 3.65832i | 0.225154 | − | 0.389978i | ||||
\(89\) | 1.76943 | − | 1.48473i | 0.187559 | − | 0.157381i | −0.544173 | − | 0.838973i | \(-0.683157\pi\) |
0.731732 | + | 0.681592i | \(0.238712\pi\) | |||||||
\(90\) | 1.08975 | − | 10.0031i | 0.114870 | − | 1.05442i | ||||
\(91\) | 12.9667 | + | 4.71949i | 1.35928 | + | 0.494737i | ||||
\(92\) | −0.844637 | + | 4.79017i | −0.0880595 | + | 0.499410i | ||||
\(93\) | 18.1026 | + | 2.57917i | 1.87715 | + | 0.267448i | ||||
\(94\) | −1.20911 | + | 2.09425i | −0.124711 | + | 0.216005i | ||||
\(95\) | 5.41467 | − | 13.5805i | 0.555533 | − | 1.39333i | ||||
\(96\) | −0.0571640 | − | 1.73111i | −0.00583428 | − | 0.176680i | ||||
\(97\) | −3.72053 | + | 1.35416i | −0.377763 | + | 0.137494i | −0.523921 | − | 0.851767i | \(-0.675531\pi\) |
0.146158 | + | 0.989261i | \(0.453309\pi\) | |||||||
\(98\) | 0.933956 | + | 0.783682i | 0.0943438 | + | 0.0791639i | ||||
\(99\) | −12.1685 | − | 3.53929i | −1.22298 | − | 0.355712i | ||||
\(100\) | −5.87305 | + | 2.13762i | −0.587305 | + | 0.213762i | ||||
\(101\) | −0.418958 | − | 0.152488i | −0.0416879 | − | 0.0151732i | 0.321092 | − | 0.947048i | \(-0.395950\pi\) |
−0.362780 | + | 0.931875i | \(0.618172\pi\) | |||||||
\(102\) | −0.192382 | − | 5.82593i | −0.0190487 | − | 0.576853i | ||||
\(103\) | 3.61500 | + | 6.26137i | 0.356197 | + | 0.616951i | 0.987322 | − | 0.158730i | \(-0.0507400\pi\) |
−0.631125 | + | 0.775681i | \(0.717407\pi\) | |||||||
\(104\) | −4.52288 | − | 1.64619i | −0.443505 | − | 0.161422i | ||||
\(105\) | −11.1210 | − | 12.3984i | −1.08530 | − | 1.20996i | ||||
\(106\) | 0.419112 | 0.0407077 | ||||||||
\(107\) | 4.68164 | + | 8.10884i | 0.452592 | + | 0.783912i | 0.998546 | − | 0.0539032i | \(-0.0171662\pi\) |
−0.545955 | + | 0.837815i | \(0.683833\pi\) | |||||||
\(108\) | −5.00293 | + | 1.40381i | −0.481407 | + | 0.135081i | ||||
\(109\) | −14.3044 | + | 5.20639i | −1.37012 | + | 0.498681i | −0.919167 | − | 0.393869i | \(-0.871137\pi\) |
−0.450949 | + | 0.892550i | \(0.648914\pi\) | |||||||
\(110\) | 2.46035 | + | 13.9533i | 0.234585 | + | 1.33040i | ||||
\(111\) | 13.1278 | + | 1.87040i | 1.24604 | + | 0.177530i | ||||
\(112\) | −2.19618 | − | 1.84282i | −0.207520 | − | 0.174130i | ||||
\(113\) | −2.94975 | + | 5.10911i | −0.277489 | + | 0.480625i | −0.970760 | − | 0.240052i | \(-0.922836\pi\) |
0.693271 | + | 0.720677i | \(0.256169\pi\) | |||||||
\(114\) | −7.54981 | + | 0.0202576i | −0.707104 | + | 0.00189730i | ||||
\(115\) | −8.15728 | − | 14.1288i | −0.760670 | − | 1.31752i | ||||
\(116\) | −1.10677 | + | 6.27682i | −0.102761 | + | 0.582788i | ||||
\(117\) | −1.56380 | + | 14.3545i | −0.144574 | + | 1.32707i | ||||
\(118\) | 3.99129 | + | 1.45271i | 0.367428 | + | 0.133733i | ||||
\(119\) | −7.39112 | − | 6.20188i | −0.677542 | − | 0.568526i | ||||
\(120\) | 3.87910 | + | 4.32464i | 0.354111 | + | 0.394784i | ||||
\(121\) | 6.84441 | 0.622219 | ||||||||
\(122\) | 6.27977 | + | 10.8769i | 0.568544 | + | 0.984747i | ||||
\(123\) | −6.51444 | + | 1.37178i | −0.587387 | + | 0.123689i | ||||
\(124\) | −8.08718 | + | 6.78595i | −0.726250 | + | 0.609396i | ||||
\(125\) | 2.09626 | − | 3.63083i | 0.187495 | − | 0.324751i | ||||
\(126\) | −3.79962 | + | 7.71593i | −0.338497 | + | 0.687390i | ||||
\(127\) | 0.0627247 | − | 0.0526323i | 0.00556592 | − | 0.00467036i | −0.640000 | − | 0.768375i | \(-0.721066\pi\) |
0.645566 | + | 0.763704i | \(0.276621\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | −12.5610 | − | 14.0038i | −1.10594 | − | 1.23296i | ||||
\(130\) | 15.1702 | − | 5.52149i | 1.33051 | − | 0.484267i | ||||
\(131\) | −8.23943 | − | 6.91370i | −0.719882 | − | 0.604053i | 0.207470 | − | 0.978241i | \(-0.433477\pi\) |
−0.927353 | + | 0.374188i | \(0.877921\pi\) | |||||||
\(132\) | 6.21221 | − | 3.86545i | 0.540703 | − | 0.336444i | ||||
\(133\) | −8.31923 | + | 9.32497i | −0.721368 | + | 0.808578i | ||||
\(134\) | −8.38729 | −0.724552 | ||||||||
\(135\) | 9.82791 | − | 14.3931i | 0.845851 | − | 1.23876i | ||||
\(136\) | 2.57807 | + | 2.16326i | 0.221068 | + | 0.185498i | ||||
\(137\) | 0.934575 | + | 5.30024i | 0.0798461 | + | 0.452830i | 0.998350 | + | 0.0574184i | \(0.0182869\pi\) |
−0.918504 | + | 0.395412i | \(0.870602\pi\) | |||||||
\(138\) | −5.19942 | + | 6.62899i | −0.442604 | + | 0.564297i | ||||
\(139\) | 3.08408 | + | 17.4907i | 0.261588 | + | 1.48354i | 0.778578 | + | 0.627548i | \(0.215941\pi\) |
−0.516990 | + | 0.855991i | \(0.672948\pi\) | |||||||
\(140\) | 9.61591 | 0.812693 | ||||||||
\(141\) | −3.55625 | + | 2.21282i | −0.299490 | + | 0.186353i | ||||
\(142\) | 0.300075 | − | 0.251793i | 0.0251817 | − | 0.0211300i | ||||
\(143\) | −3.53061 | − | 20.0231i | −0.295245 | − | 1.67442i | ||||
\(144\) | 1.32533 | − | 2.69137i | 0.110444 | − | 0.224281i | ||||
\(145\) | −10.6889 | − | 18.5138i | −0.887667 | − | 1.53748i | ||||
\(146\) | −7.67809 | − | 2.79459i | −0.635443 | − | 0.231282i | ||||
\(147\) | 0.787343 | + | 1.95944i | 0.0649390 | + | 0.161612i | ||||
\(148\) | −5.86476 | + | 4.92112i | −0.482080 | + | 0.404513i | ||||
\(149\) | −2.78398 | + | 1.01329i | −0.228073 | + | 0.0830116i | −0.453529 | − | 0.891242i | \(-0.649835\pi\) |
0.225456 | + | 0.974253i | \(0.427613\pi\) | |||||||
\(150\) | −10.7170 | − | 1.52692i | −0.875042 | − | 0.124672i | ||||
\(151\) | 3.86980 | + | 6.70268i | 0.314920 | + | 0.545457i | 0.979420 | − | 0.201831i | \(-0.0646891\pi\) |
−0.664501 | + | 0.747288i | \(0.731356\pi\) | |||||||
\(152\) | 2.90181 | − | 3.25262i | 0.235368 | − | 0.263822i | ||||
\(153\) | 4.46033 | − | 9.05765i | 0.360596 | − | 0.732267i | ||||
\(154\) | 2.10298 | − | 11.9266i | 0.169463 | − | 0.961074i | ||||
\(155\) | 6.14878 | − | 34.8715i | 0.493882 | − | 2.80094i | ||||
\(156\) | −5.56652 | − | 6.20588i | −0.445678 | − | 0.496868i | ||||
\(157\) | 1.19805 | − | 6.79445i | 0.0956144 | − | 0.542256i | −0.898943 | − | 0.438066i | \(-0.855664\pi\) |
0.994557 | − | 0.104191i | \(-0.0332252\pi\) | |||||||
\(158\) | −1.44744 | − | 8.20884i | −0.115152 | − | 0.653061i | ||||
\(159\) | 0.640304 | + | 0.342015i | 0.0507794 | + | 0.0271236i | ||||
\(160\) | −3.35410 | −0.265165 | ||||||||
\(161\) | 2.42150 | + | 13.7330i | 0.190841 | + | 1.08231i | ||||
\(162\) | −8.78888 | − | 1.93795i | −0.690519 | − | 0.152260i | ||||
\(163\) | 6.93114 | − | 12.0051i | 0.542889 | − | 0.940310i | −0.455848 | − | 0.890058i | \(-0.650664\pi\) |
0.998737 | − | 0.0502529i | \(-0.0160027\pi\) | |||||||
\(164\) | 1.92180 | − | 3.32865i | 0.150067 | − | 0.259924i | ||||
\(165\) | −7.62776 | + | 23.3252i | −0.593820 | + | 1.81586i | ||||
\(166\) | −0.910354 | + | 5.16287i | −0.0706572 | + | 0.400717i | ||||
\(167\) | −9.37759 | + | 7.86873i | −0.725660 | + | 0.608901i | −0.928945 | − | 0.370219i | \(-0.879283\pi\) |
0.203285 | + | 0.979120i | \(0.434838\pi\) | |||||||
\(168\) | −1.85142 | − | 4.60758i | −0.142841 | − | 0.355483i | ||||
\(169\) | −9.55326 | + | 3.47710i | −0.734866 | + | 0.267469i | ||||
\(170\) | −11.2880 | −0.865750 | ||||||||
\(171\) | −11.5509 | − | 6.13006i | −0.883316 | − | 0.468777i | ||||
\(172\) | 10.8610 | 0.828145 | ||||||||
\(173\) | 18.0436 | − | 6.56734i | 1.37183 | − | 0.499306i | 0.452140 | − | 0.891947i | \(-0.350661\pi\) |
0.919692 | + | 0.392641i | \(0.128439\pi\) | |||||||
\(174\) | −6.81308 | + | 8.68633i | −0.516498 | + | 0.658509i | ||||
\(175\) | −13.7261 | + | 11.5175i | −1.03759 | + | 0.870645i | ||||
\(176\) | −0.733536 | + | 4.16009i | −0.0552923 | + | 0.313578i | ||||
\(177\) | 4.91227 | + | 5.47648i | 0.369229 | + | 0.411637i | ||||
\(178\) | −1.15491 | + | 2.00037i | −0.0865644 | + | 0.149934i | ||||
\(179\) | 3.99236 | − | 6.91498i | 0.298403 | − | 0.516850i | −0.677368 | − | 0.735645i | \(-0.736879\pi\) |
0.975771 | + | 0.218795i | \(0.0702126\pi\) | |||||||
\(180\) | 2.39723 | + | 9.77256i | 0.178679 | + | 0.728404i | ||||
\(181\) | −2.62487 | − | 14.8864i | −0.195105 | − | 1.10649i | −0.912270 | − | 0.409590i | \(-0.865672\pi\) |
0.717165 | − | 0.696904i | \(-0.245439\pi\) | |||||||
\(182\) | −13.7989 | −1.02284 | ||||||||
\(183\) | 0.717954 | + | 21.7419i | 0.0530727 | + | 1.60721i | ||||
\(184\) | −0.844637 | − | 4.79017i | −0.0622674 | − | 0.353136i | ||||
\(185\) | 4.45905 | − | 25.2885i | 0.327836 | − | 1.85925i | ||||
\(186\) | −17.8930 | + | 3.76781i | −1.31198 | + | 0.276269i | ||||
\(187\) | −2.46867 | + | 14.0005i | −0.180527 | + | 1.02382i | ||||
\(188\) | 0.419921 | − | 2.38149i | 0.0306259 | − | 0.173688i | ||||
\(189\) | −12.1015 | + | 8.68746i | −0.880254 | + | 0.631920i | ||||
\(190\) | −0.443310 | + | 14.6134i | −0.0321611 | + | 1.06017i | ||||
\(191\) | 9.14194 | + | 15.8343i | 0.661488 | + | 1.14573i | 0.980225 | + | 0.197887i | \(0.0634080\pi\) |
−0.318737 | + | 0.947843i | \(0.603259\pi\) | |||||||
\(192\) | 0.645790 | + | 1.60716i | 0.0466059 | + | 0.115987i | ||||
\(193\) | 8.90883 | − | 3.24255i | 0.641272 | − | 0.233404i | −0.000858261 | − | 1.00000i | \(-0.500273\pi\) |
0.642130 | + | 0.766596i | \(0.278051\pi\) | |||||||
\(194\) | 3.03300 | − | 2.54499i | 0.217757 | − | 0.182720i | ||||
\(195\) | 27.6823 | + | 3.94405i | 1.98237 | + | 0.282439i | ||||
\(196\) | −1.14567 | − | 0.416989i | −0.0818334 | − | 0.0297849i | ||||
\(197\) | −0.491564 | − | 0.851414i | −0.0350225 | − | 0.0606607i | 0.847983 | − | 0.530024i | \(-0.177817\pi\) |
−0.883005 | + | 0.469363i | \(0.844484\pi\) | |||||||
\(198\) | 12.6452 | − | 0.836042i | 0.898654 | − | 0.0594149i | ||||
\(199\) | 1.69252 | + | 9.59875i | 0.119979 | + | 0.680437i | 0.984164 | + | 0.177262i | \(0.0567239\pi\) |
−0.864184 | + | 0.503175i | \(0.832165\pi\) | |||||||
\(200\) | 4.78775 | − | 4.01740i | 0.338545 | − | 0.284073i | ||||
\(201\) | −12.8138 | − | 6.84443i | −0.903817 | − | 0.482769i | ||||
\(202\) | 0.445846 | 0.0313696 | ||||||||
\(203\) | 3.17302 | + | 17.9951i | 0.222703 | + | 1.26301i | ||||
\(204\) | 2.17337 | + | 5.40879i | 0.152166 | + | 0.378691i | ||||
\(205\) | 2.23864 | + | 12.6959i | 0.156353 | + | 0.886723i | ||||
\(206\) | −5.53850 | − | 4.64736i | −0.385886 | − | 0.323797i | ||||
\(207\) | −13.3531 | + | 5.88457i | −0.928102 | + | 0.409006i | ||||
\(208\) | 4.81315 | 0.333732 | ||||||||
\(209\) | 18.0281 | + | 3.74578i | 1.24703 | + | 0.259101i | ||||
\(210\) | 14.6908 | + | 7.84704i | 1.01376 | + | 0.541497i | ||||
\(211\) | 6.50343 | + | 5.45703i | 0.447715 | + | 0.375677i | 0.838587 | − | 0.544768i | \(-0.183382\pi\) |
−0.390872 | + | 0.920445i | \(0.627827\pi\) | |||||||
\(212\) | −0.393836 | + | 0.143345i | −0.0270488 | + | 0.00984495i | ||||
\(213\) | 0.663918 | − | 0.139804i | 0.0454909 | − | 0.00957924i | ||||
\(214\) | −7.17269 | − | 6.01860i | −0.490315 | − | 0.411423i | ||||
\(215\) | −27.9062 | + | 23.4161i | −1.90318 | + | 1.59696i | ||||
\(216\) | 4.22109 | − | 3.03025i | 0.287209 | − | 0.206182i | ||||
\(217\) | −15.1331 | + | 26.2113i | −1.02730 | + | 1.77934i | ||||
\(218\) | 11.6611 | − | 9.78480i | 0.789788 | − | 0.662711i | ||||
\(219\) | −9.44979 | − | 10.5352i | −0.638557 | − | 0.711901i | ||||
\(220\) | −7.08430 | − | 12.2704i | −0.477623 | − | 0.827268i | ||||
\(221\) | 16.1983 | 1.08962 | ||||||||
\(222\) | −12.9758 | + | 2.73238i | −0.870881 | + | 0.183386i | ||||
\(223\) | 0.104340 | + | 0.0875515i | 0.00698711 | + | 0.00586288i | 0.646274 | − | 0.763105i | \(-0.276326\pi\) |
−0.639287 | + | 0.768968i | \(0.720771\pi\) | |||||||
\(224\) | 2.69402 | + | 0.980542i | 0.180002 | + | 0.0655152i | ||||
\(225\) | −15.1271 | − | 11.0784i | −1.00847 | − | 0.738559i | ||||
\(226\) | 1.02444 | − | 5.80987i | 0.0681445 | − | 0.386467i | ||||
\(227\) | −10.1447 | − | 17.5711i | −0.673326 | − | 1.16624i | −0.976955 | − | 0.213445i | \(-0.931532\pi\) |
0.303629 | − | 0.952790i | \(-0.401802\pi\) | |||||||
\(228\) | 7.08757 | − | 2.60122i | 0.469386 | − | 0.172270i | ||||
\(229\) | 2.52074 | − | 4.36605i | 0.166575 | − | 0.288517i | −0.770638 | − | 0.637273i | \(-0.780063\pi\) |
0.937214 | + | 0.348756i | \(0.113396\pi\) | |||||||
\(230\) | 12.4977 | + | 10.4868i | 0.824073 | + | 0.691479i | ||||
\(231\) | 12.9456 | − | 16.5049i | 0.851755 | − | 1.08594i | ||||
\(232\) | −1.10677 | − | 6.27682i | −0.0726632 | − | 0.412093i | ||||
\(233\) | −2.17708 | + | 0.792393i | −0.142625 | + | 0.0519114i | −0.412347 | − | 0.911027i | \(-0.635291\pi\) |
0.269721 | + | 0.962938i | \(0.413068\pi\) | |||||||
\(234\) | −3.44004 | − | 14.0237i | −0.224882 | − | 0.916756i | ||||
\(235\) | 4.05548 | + | 7.02431i | 0.264551 | + | 0.458215i | ||||
\(236\) | −4.24744 | −0.276485 | ||||||||
\(237\) | 4.48746 | − | 13.7224i | 0.291492 | − | 0.891363i | ||||
\(238\) | 9.06655 | + | 3.29995i | 0.587697 | + | 0.213904i | ||||
\(239\) | −4.65356 | − | 8.06020i | −0.301014 | − | 0.521371i | 0.675352 | − | 0.737495i | \(-0.263992\pi\) |
−0.976366 | + | 0.216124i | \(0.930658\pi\) | |||||||
\(240\) | −5.12427 | − | 2.73710i | −0.330770 | − | 0.176679i | ||||
\(241\) | 23.1095 | + | 8.41116i | 1.48861 | + | 0.541811i | 0.953084 | − | 0.302707i | \(-0.0978903\pi\) |
0.535528 | + | 0.844517i | \(0.320112\pi\) | |||||||
\(242\) | −6.43164 | + | 2.34093i | −0.413442 | + | 0.150480i | ||||
\(243\) | −11.8459 | − | 10.1329i | −0.759913 | − | 0.650024i | ||||
\(244\) | −9.62117 | − | 8.07312i | −0.615932 | − | 0.516828i | ||||
\(245\) | 3.84268 | − | 1.39862i | 0.245500 | − | 0.0893546i | ||||
\(246\) | 5.65240 | − | 3.51712i | 0.360384 | − | 0.224243i | ||||
\(247\) | 0.636152 | − | 20.9704i | 0.0404774 | − | 1.33431i | ||||
\(248\) | 5.27853 | − | 9.14268i | 0.335187 | − | 0.580561i | ||||
\(249\) | −5.60396 | + | 7.14476i | −0.355137 | + | 0.452781i | ||||
\(250\) | −0.728023 | + | 4.12883i | −0.0460442 | + | 0.261130i | ||||
\(251\) | 6.06911 | + | 2.20898i | 0.383079 | + | 0.139429i | 0.526379 | − | 0.850250i | \(-0.323549\pi\) |
−0.143300 | + | 0.989679i | \(0.545771\pi\) | |||||||
\(252\) | 0.931467 | − | 8.55015i | 0.0586769 | − | 0.538609i | ||||
\(253\) | 15.7400 | − | 13.2074i | 0.989565 | − | 0.830344i | ||||
\(254\) | −0.0409406 | + | 0.0709113i | −0.00256884 | + | 0.00444937i | ||||
\(255\) | −17.2454 | − | 9.21155i | −1.07995 | − | 0.576850i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 13.4434 | + | 4.89301i | 0.838578 | + | 0.305217i | 0.725374 | − | 0.688355i | \(-0.241667\pi\) |
0.113203 | + | 0.993572i | \(0.463889\pi\) | |||||||
\(258\) | 16.5931 | + | 8.86311i | 1.03304 | + | 0.551793i | ||||
\(259\) | −10.9744 | + | 19.0082i | −0.681916 | + | 1.18111i | ||||
\(260\) | −12.3668 | + | 10.3770i | −0.766959 | + | 0.643555i | ||||
\(261\) | −17.4972 | + | 7.71087i | −1.08305 | + | 0.477291i | ||||
\(262\) | 10.1072 | + | 3.67870i | 0.624422 | + | 0.227271i | ||||
\(263\) | −4.11500 | + | 23.3373i | −0.253741 | + | 1.43904i | 0.545541 | + | 0.838084i | \(0.316324\pi\) |
−0.799283 | + | 0.600955i | \(0.794787\pi\) | |||||||
\(264\) | −4.51550 | + | 5.75704i | −0.277910 | + | 0.354321i | ||||
\(265\) | 0.702871 | − | 1.21741i | 0.0431770 | − | 0.0747848i | ||||
\(266\) | 4.62819 | − | 11.6080i | 0.283772 | − | 0.711729i | ||||
\(267\) | −3.39683 | + | 2.11363i | −0.207883 | + | 0.129352i | ||||
\(268\) | 7.88148 | − | 2.86862i | 0.481438 | − | 0.175229i | ||||
\(269\) | −5.94160 | − | 4.98559i | −0.362266 | − | 0.303977i | 0.443427 | − | 0.896310i | \(-0.353762\pi\) |
−0.805693 | + | 0.592333i | \(0.798207\pi\) | |||||||
\(270\) | −4.31248 | + | 16.8864i | −0.262449 | + | 1.02768i | ||||
\(271\) | −8.27147 | + | 3.01057i | −0.502456 | + | 0.182879i | −0.580798 | − | 0.814048i | \(-0.697259\pi\) |
0.0783424 | + | 0.996927i | \(0.475037\pi\) | |||||||
\(272\) | −3.16248 | − | 1.15105i | −0.191753 | − | 0.0697925i | ||||
\(273\) | −21.0814 | − | 11.2605i | −1.27591 | − | 0.681519i | ||||
\(274\) | −2.69100 | − | 4.66095i | −0.162569 | − | 0.281578i | ||||
\(275\) | 24.8093 | + | 9.02985i | 1.49606 | + | 0.544521i | ||||
\(276\) | 2.61861 | − | 8.00752i | 0.157622 | − | 0.481996i | ||||
\(277\) | 0.968448 | 0.0581884 | 0.0290942 | − | 0.999577i | \(-0.490738\pi\) | ||||
0.0290942 | + | 0.999577i | \(0.490738\pi\) | |||||||
\(278\) | −8.88024 | − | 15.3810i | −0.532602 | − | 0.922493i | ||||
\(279\) | −30.4110 | − | 8.84520i | −1.82066 | − | 0.529548i | ||||
\(280\) | −9.03600 | + | 3.28883i | −0.540004 | + | 0.196545i | ||||
\(281\) | −4.61476 | − | 26.1716i | −0.275294 | − | 1.56127i | −0.738027 | − | 0.674771i | \(-0.764242\pi\) |
0.462733 | − | 0.886497i | \(-0.346869\pi\) | |||||||
\(282\) | 2.58495 | − | 3.29568i | 0.153932 | − | 0.196255i | ||||
\(283\) | −2.37338 | − | 1.99150i | −0.141083 | − | 0.118382i | 0.569515 | − | 0.821981i | \(-0.307131\pi\) |
−0.710598 | + | 0.703598i | \(0.751575\pi\) | |||||||
\(284\) | −0.195860 | + | 0.339239i | −0.0116221 | + | 0.0201301i | ||||
\(285\) | −12.6026 | + | 21.9642i | −0.746511 | + | 1.30104i | ||||
\(286\) | 10.1660 | + | 17.6080i | 0.601128 | + | 1.04118i | ||||
\(287\) | 1.91347 | − | 10.8519i | 0.112949 | − | 0.640565i | ||||
\(288\) | −0.324902 | + | 2.98235i | −0.0191451 | + | 0.175737i | ||||
\(289\) | 5.33166 | + | 1.94057i | 0.313627 | + | 0.114151i | ||||
\(290\) | 16.3764 | + | 13.7414i | 0.961654 | + | 0.806924i | ||||
\(291\) | 6.71055 | − | 1.41307i | 0.393380 | − | 0.0828358i | ||||
\(292\) | 8.17085 | 0.478163 | ||||||||
\(293\) | 4.65805 | + | 8.06797i | 0.272126 | + | 0.471336i | 0.969406 | − | 0.245463i | \(-0.0789399\pi\) |
−0.697280 | + | 0.716799i | \(0.745607\pi\) | |||||||
\(294\) | −1.41003 | − | 1.57198i | −0.0822344 | − | 0.0916797i | ||||
\(295\) | 10.9133 | − | 9.15736i | 0.635398 | − | 0.533162i | ||||
\(296\) | 3.82795 | − | 6.63020i | 0.222495 | − | 0.385373i | ||||
\(297\) | 20.0011 | + | 9.04181i | 1.16058 | + | 0.524659i | ||||
\(298\) | 2.26952 | − | 1.90435i | 0.131470 | − | 0.110316i | ||||
\(299\) | −17.9342 | − | 15.0486i | −1.03716 | − | 0.870283i | ||||
\(300\) | 10.5930 | − | 2.23061i | 0.611585 | − | 0.128784i | ||||
\(301\) | 29.2598 | − | 10.6497i | 1.68651 | − | 0.613838i | ||||
\(302\) | −5.92887 | − | 4.97491i | −0.341168 | − | 0.286274i | ||||
\(303\) | 0.681148 | + | 0.363832i | 0.0391309 | + | 0.0209016i | ||||
\(304\) | −1.61434 | + | 4.04894i | −0.0925890 | + | 0.232222i | ||||
\(305\) | 42.1259 | 2.41212 | ||||||||
\(306\) | −1.09344 | + | 10.0369i | −0.0625077 | + | 0.573773i | ||||
\(307\) | 8.52088 | + | 7.14987i | 0.486312 | + | 0.408064i | 0.852702 | − | 0.522397i | \(-0.174962\pi\) |
−0.366390 | + | 0.930461i | \(0.619406\pi\) | |||||||
\(308\) | 2.10298 | + | 11.9266i | 0.119829 | + | 0.679582i | ||||
\(309\) | −4.66906 | − | 11.6198i | −0.265614 | − | 0.661025i | ||||
\(310\) | 6.14878 | + | 34.8715i | 0.349227 | + | 1.98057i | ||||
\(311\) | −28.3861 | −1.60963 | −0.804815 | − | 0.593525i | \(-0.797736\pi\) | ||||
−0.804815 | + | 0.593525i | \(0.797736\pi\) | |||||||
\(312\) | 7.35335 | + | 3.92776i | 0.416302 | + | 0.222366i | ||||
\(313\) | −3.90688 | + | 3.27827i | −0.220830 | + | 0.185299i | −0.746491 | − | 0.665396i | \(-0.768263\pi\) |
0.525660 | + | 0.850695i | \(0.323818\pi\) | |||||||
\(314\) | 1.19805 | + | 6.79445i | 0.0676096 | + | 0.383433i | ||||
\(315\) | 16.0406 | + | 23.9769i | 0.903785 | + | 1.35094i | ||||
\(316\) | 4.16774 | + | 7.21874i | 0.234454 | + | 0.406086i | ||||
\(317\) | 16.1770 | + | 5.88793i | 0.908588 | + | 0.330699i | 0.753689 | − | 0.657231i | \(-0.228272\pi\) |
0.154899 | + | 0.987930i | \(0.450495\pi\) | |||||||
\(318\) | −0.718665 | − | 0.102392i | −0.0403007 | − | 0.00574188i | ||||
\(319\) | 20.6250 | − | 17.3064i | 1.15478 | − | 0.968973i | ||||
\(320\) | 3.15182 | − | 1.14717i | 0.176192 | − | 0.0641287i | ||||
\(321\) | −6.04672 | − | 15.0483i | −0.337495 | − | 0.839913i | ||||
\(322\) | −6.97243 | − | 12.0766i | −0.388558 | − | 0.673003i | ||||
\(323\) | −5.43298 | + | 13.6264i | −0.302299 | + | 0.758196i | ||||
\(324\) | 8.92166 | − | 1.18490i | 0.495648 | − | 0.0658277i | ||||
\(325\) | 5.22369 | − | 29.6250i | 0.289758 | − | 1.64330i | ||||
\(326\) | −2.40716 | + | 13.6517i | −0.133320 | + | 0.756096i | ||||
\(327\) | 25.8003 | − | 5.43288i | 1.42676 | − | 0.300439i | ||||
\(328\) | −0.667434 | + | 3.78520i | −0.0368529 | + | 0.209003i | ||||
\(329\) | −1.20388 | − | 6.82752i | −0.0663719 | − | 0.376414i | ||||
\(330\) | −0.809934 | − | 24.5274i | −0.0445854 | − | 1.35019i | ||||
\(331\) | 6.30929 | 0.346790 | 0.173395 | − | 0.984852i | \(-0.444526\pi\) | ||||
0.173395 | + | 0.984852i | \(0.444526\pi\) | |||||||
\(332\) | −0.910354 | − | 5.16287i | −0.0499622 | − | 0.283350i | ||||
\(333\) | −22.0538 | − | 6.41447i | −1.20854 | − | 0.351511i | ||||
\(334\) | 6.12079 | − | 10.6015i | 0.334915 | − | 0.580089i | ||||
\(335\) | −14.0659 | + | 24.3629i | −0.768502 | + | 1.33108i | ||||
\(336\) | 3.31566 | + | 3.69649i | 0.180884 | + | 0.201660i | ||||
\(337\) | −0.232685 | + | 1.31962i | −0.0126751 | + | 0.0718843i | −0.990489 | − | 0.137590i | \(-0.956064\pi\) |
0.977814 | + | 0.209475i | \(0.0671754\pi\) | |||||||
\(338\) | 7.78789 | − | 6.53482i | 0.423605 | − | 0.355447i | ||||
\(339\) | 6.30623 | − | 8.04013i | 0.342508 | − | 0.436680i | ||||
\(340\) | 10.6073 | − | 3.86072i | 0.575259 | − | 0.209377i | ||||
\(341\) | 44.5958 | 2.41500 | ||||||||
\(342\) | 12.9509 | + | 1.80974i | 0.700302 | + | 0.0978596i | ||||
\(343\) | 16.5731 | 0.894862 | ||||||||
\(344\) | −10.2060 | + | 3.71469i | −0.550272 | + | 0.200283i | ||||
\(345\) | 10.5358 | + | 26.2201i | 0.567227 | + | 1.41164i | ||||
\(346\) | −14.7093 | + | 12.3426i | −0.790777 | + | 0.663541i | ||||
\(347\) | −2.17881 | + | 12.3566i | −0.116965 | + | 0.663339i | 0.868794 | + | 0.495173i | \(0.164895\pi\) |
−0.985759 | + | 0.168166i | \(0.946216\pi\) | |||||||
\(348\) | 3.43130 | − | 10.4927i | 0.183937 | − | 0.562467i | ||||
\(349\) | −7.15255 | + | 12.3886i | −0.382867 | + | 0.663146i | −0.991471 | − | 0.130329i | \(-0.958397\pi\) |
0.608603 | + | 0.793475i | \(0.291730\pi\) | |||||||
\(350\) | 8.95906 | − | 15.5175i | 0.478882 | − | 0.829448i | ||||
\(351\) | 6.18843 | − | 24.2321i | 0.330314 | − | 1.29341i | ||||
\(352\) | −0.733536 | − | 4.16009i | −0.0390976 | − | 0.221733i | ||||
\(353\) | −25.2300 | −1.34286 | −0.671429 | − | 0.741069i | \(-0.734319\pi\) | ||||
−0.671429 | + | 0.741069i | \(0.734319\pi\) | |||||||
\(354\) | −6.48909 | − | 3.46611i | −0.344891 | − | 0.184222i | ||||
\(355\) | −0.228150 | − | 1.29391i | −0.0121090 | − | 0.0686734i | ||||
\(356\) | 0.401097 | − | 2.27473i | 0.0212581 | − | 0.120561i | ||||
\(357\) | 11.1586 | + | 12.4403i | 0.590577 | + | 0.658410i | ||||
\(358\) | −1.38653 | + | 7.86342i | −0.0732806 | + | 0.415595i | ||||
\(359\) | 0.556396 | − | 3.15548i | 0.0293655 | − | 0.166540i | −0.966598 | − | 0.256296i | \(-0.917498\pi\) |
0.995964 | + | 0.0897564i | \(0.0286088\pi\) | |||||||
\(360\) | −5.59507 | − | 8.36331i | −0.294886 | − | 0.440785i | ||||
\(361\) | 17.4274 | + | 7.56868i | 0.917233 | + | 0.398351i | ||||
\(362\) | 7.55800 | + | 13.0908i | 0.397240 | + | 0.688039i | ||||
\(363\) | −11.7363 | − | 1.67215i | −0.615999 | − | 0.0877649i | ||||
\(364\) | 12.9667 | − | 4.71949i | 0.679640 | − | 0.247369i | ||||
\(365\) | −20.9941 | + | 17.6161i | −1.09888 | + | 0.922070i | ||||
\(366\) | −8.11083 | − | 20.1852i | −0.423960 | − | 1.05510i | ||||
\(367\) | −5.48497 | − | 1.99636i | −0.286313 | − | 0.104209i | 0.194871 | − | 0.980829i | \(-0.437571\pi\) |
−0.481184 | + | 0.876619i | \(0.659793\pi\) | |||||||
\(368\) | 2.43203 | + | 4.21241i | 0.126779 | + | 0.219587i | ||||
\(369\) | 11.5057 | − | 0.760702i | 0.598961 | − | 0.0396006i | ||||
\(370\) | 4.45905 | + | 25.2885i | 0.231815 | + | 1.31469i | ||||
\(371\) | −0.920446 | + | 0.772346i | −0.0477872 | + | 0.0400982i | ||||
\(372\) | 15.5252 | − | 9.66033i | 0.804945 | − | 0.500865i | ||||
\(373\) | −28.4672 | −1.47397 | −0.736987 | − | 0.675907i | \(-0.763752\pi\) | ||||
−0.736987 | + | 0.675907i | \(0.763752\pi\) | |||||||
\(374\) | −2.46867 | − | 14.0005i | −0.127652 | − | 0.723949i | ||||
\(375\) | −4.48157 | + | 5.71377i | −0.231427 | + | 0.295058i | ||||
\(376\) | 0.419921 | + | 2.38149i | 0.0216558 | + | 0.122816i | ||||
\(377\) | −23.5002 | − | 19.7190i | −1.21032 | − | 1.01558i | ||||
\(378\) | 8.40040 | − | 12.3025i | 0.432070 | − | 0.632772i | ||||
\(379\) | −13.2102 | −0.678564 | −0.339282 | − | 0.940685i | \(-0.610184\pi\) | ||||
−0.339282 | + | 0.940685i | \(0.610184\pi\) | |||||||
\(380\) | −4.58152 | − | 13.8838i | −0.235027 | − | 0.712222i | ||||
\(381\) | −0.120415 | + | 0.0749262i | −0.00616903 | + | 0.00383859i | ||||
\(382\) | −14.0063 | − | 11.7527i | −0.716623 | − | 0.601318i | ||||
\(383\) | 5.47403 | − | 1.99239i | 0.279710 | − | 0.101806i | −0.198356 | − | 0.980130i | \(-0.563560\pi\) |
0.478066 | + | 0.878324i | \(0.341338\pi\) | |||||||
\(384\) | −1.15652 | − | 1.28936i | −0.0590186 | − | 0.0657974i | ||||
\(385\) | −31.1168 | − | 26.1101i | −1.58586 | − | 1.33070i | ||||
\(386\) | −7.26255 | + | 6.09400i | −0.369654 | + | 0.310176i | ||||
\(387\) | 18.1176 | + | 27.0815i | 0.920969 | + | 1.37663i | ||||
\(388\) | −1.97965 | + | 3.42886i | −0.100502 | + | 0.174074i | ||||
\(389\) | −8.74208 | + | 7.33548i | −0.443241 | + | 0.371923i | −0.836921 | − | 0.547324i | \(-0.815646\pi\) |
0.393679 | + | 0.919248i | \(0.371202\pi\) | |||||||
\(390\) | −27.3618 | + | 5.76169i | −1.38552 | + | 0.291755i | ||||
\(391\) | 8.18486 | + | 14.1766i | 0.413926 | + | 0.716941i | ||||
\(392\) | 1.21919 | 0.0615786 | ||||||||
\(393\) | 12.4394 | + | 13.8681i | 0.627483 | + | 0.699554i | ||||
\(394\) | 0.753120 | + | 0.631943i | 0.0379416 | + | 0.0318368i | ||||
\(395\) | −26.2719 | − | 9.56220i | −1.32188 | − | 0.481127i | ||||
\(396\) | −11.5966 | + | 5.11053i | −0.582753 | + | 0.256814i | ||||
\(397\) | −4.36152 | + | 24.7354i | −0.218898 | + | 1.24143i | 0.655114 | + | 0.755530i | \(0.272621\pi\) |
−0.874012 | + | 0.485904i | \(0.838490\pi\) | |||||||
\(398\) | −4.87341 | − | 8.44100i | −0.244282 | − | 0.423109i | ||||
\(399\) | 16.5434 | − | 13.9574i | 0.828207 | − | 0.698744i | ||||
\(400\) | −3.12498 | + | 5.41263i | −0.156249 | + | 0.270632i | ||||
\(401\) | 21.2320 | + | 17.8158i | 1.06028 | + | 0.889677i | 0.994136 | − | 0.108133i | \(-0.0344874\pi\) |
0.0661393 | + | 0.997810i | \(0.478932\pi\) | |||||||
\(402\) | 14.3820 | + | 2.04908i | 0.717308 | + | 0.102199i | ||||
\(403\) | −8.82353 | − | 50.0407i | −0.439531 | − | 2.49271i | ||||
\(404\) | −0.418958 | + | 0.152488i | −0.0208439 | + | 0.00758658i | ||||
\(405\) | −20.3686 | + | 22.2793i | −1.01212 | + | 1.10707i | ||||
\(406\) | −9.13635 | − | 15.8246i | −0.453430 | − | 0.785363i | ||||
\(407\) | 32.3405 | 1.60306 | ||||||||
\(408\) | −3.89221 | − | 4.33926i | −0.192693 | − | 0.214825i | ||||
\(409\) | −28.4295 | − | 10.3475i | −1.40575 | − | 0.511651i | −0.475870 | − | 0.879516i | \(-0.657867\pi\) |
−0.929879 | + | 0.367865i | \(0.880089\pi\) | |||||||
\(410\) | −6.44590 | − | 11.1646i | −0.318340 | − | 0.551381i | ||||
\(411\) | −0.307657 | − | 9.31682i | −0.0151756 | − | 0.459565i | ||||
\(412\) | 6.79398 | + | 2.47281i | 0.334715 | + | 0.121826i | ||||
\(413\) | −11.4427 | + | 4.16479i | −0.563057 | + | 0.204936i | ||||
\(414\) | 10.5351 | − | 10.0967i | 0.517774 | − | 0.496226i | ||||
\(415\) | 13.4701 | + | 11.3027i | 0.661219 | + | 0.554829i | ||||
\(416\) | −4.52288 | + | 1.64619i | −0.221752 | + | 0.0807112i | ||||
\(417\) | −1.01526 | − | 30.7453i | −0.0497176 | − | 1.50560i | ||||
\(418\) | −18.2220 | + | 2.64610i | −0.891268 | + | 0.129425i | ||||
\(419\) | 9.58059 | − | 16.5941i | 0.468042 | − | 0.810673i | −0.531291 | − | 0.847190i | \(-0.678293\pi\) |
0.999333 | + | 0.0365164i | \(0.0116261\pi\) | |||||||
\(420\) | −16.4887 | − | 2.34924i | −0.804567 | − | 0.114631i | ||||
\(421\) | 0.195808 | − | 1.11048i | 0.00954308 | − | 0.0541215i | −0.979664 | − | 0.200643i | \(-0.935697\pi\) |
0.989207 | + | 0.146522i | \(0.0468079\pi\) | |||||||
\(422\) | −7.97764 | − | 2.90362i | −0.388346 | − | 0.141346i | ||||
\(423\) | 6.63863 | − | 2.92558i | 0.322781 | − | 0.142247i | ||||
\(424\) | 0.321058 | − | 0.269400i | 0.0155920 | − | 0.0130832i | ||||
\(425\) | −10.5169 | + | 18.2159i | −0.510146 | + | 0.883600i | ||||
\(426\) | −0.576063 | + | 0.358447i | −0.0279104 | + | 0.0173668i | ||||
\(427\) | −33.8356 | − | 12.3152i | −1.63742 | − | 0.595972i | ||||
\(428\) | 8.79861 | + | 3.20243i | 0.425297 | + | 0.154795i | ||||
\(429\) | 1.16226 | + | 35.1969i | 0.0561144 | + | 1.69932i | ||||
\(430\) | 18.2145 | − | 31.5484i | 0.878379 | − | 1.52140i | ||||
\(431\) | −17.4919 | + | 14.6774i | −0.842555 | + | 0.706987i | −0.958137 | − | 0.286311i | \(-0.907571\pi\) |
0.115582 | + | 0.993298i | \(0.463127\pi\) | |||||||
\(432\) | −2.93012 | + | 4.29120i | −0.140975 | + | 0.206460i | ||||
\(433\) | −21.4763 | − | 7.81672i | −1.03208 | − | 0.375648i | −0.230210 | − | 0.973141i | \(-0.573941\pi\) |
−0.801874 | + | 0.597493i | \(0.796163\pi\) | |||||||
\(434\) | 5.25567 | − | 29.8064i | 0.252280 | − | 1.43075i | ||||
\(435\) | 13.8056 | + | 34.3576i | 0.661928 | + | 1.64732i | ||||
\(436\) | −7.61123 | + | 13.1830i | −0.364512 | + | 0.631353i | ||||
\(437\) | 18.6745 | − | 10.0394i | 0.893320 | − | 0.480248i | ||||
\(438\) | 12.4831 | + | 6.66781i | 0.596467 | + | 0.318600i | ||||
\(439\) | 12.0709 | − | 4.39346i | 0.576114 | − | 0.209688i | −0.0374969 | − | 0.999297i | \(-0.511938\pi\) |
0.613611 | + | 0.789608i | \(0.289716\pi\) | |||||||
\(440\) | 10.8538 | + | 9.10740i | 0.517433 | + | 0.434178i | ||||
\(441\) | −0.871378 | − | 3.55227i | −0.0414942 | − | 0.169156i | ||||
\(442\) | −15.2215 | + | 5.54016i | −0.724011 | + | 0.263518i | ||||
\(443\) | 13.3346 | + | 4.85339i | 0.633544 | + | 0.230591i | 0.638773 | − | 0.769395i | \(-0.279442\pi\) |
−0.00522882 | + | 0.999986i | \(0.501664\pi\) | |||||||
\(444\) | 11.2588 | − | 7.00560i | 0.534318 | − | 0.332471i | ||||
\(445\) | 3.87369 | + | 6.70943i | 0.183631 | + | 0.318057i | ||||
\(446\) | −0.127992 | − | 0.0465852i | −0.00606059 | − | 0.00220587i | ||||
\(447\) | 5.02134 | − | 1.05737i | 0.237501 | − | 0.0500118i | ||||
\(448\) | −2.86691 | −0.135449 | ||||||||
\(449\) | −4.59625 | − | 7.96094i | −0.216910 | − | 0.375700i | 0.736951 | − | 0.675946i | \(-0.236265\pi\) |
−0.953862 | + | 0.300246i | \(0.902931\pi\) | |||||||
\(450\) | 18.0038 | + | 5.23652i | 0.848709 | + | 0.246852i | ||||
\(451\) | −15.2572 | + | 5.55317i | −0.718433 | + | 0.261488i | ||||
\(452\) | 1.02444 | + | 5.80987i | 0.0481855 | + | 0.273273i | ||||
\(453\) | −4.99815 | − | 12.4387i | −0.234834 | − | 0.584423i | ||||
\(454\) | 15.5426 | + | 13.0418i | 0.729448 | + | 0.612080i | ||||
\(455\) | −23.1414 | + | 40.0820i | −1.08488 | + | 1.87908i | ||||
\(456\) | −5.77047 | + | 4.86844i | −0.270227 | + | 0.227986i | ||||
\(457\) | −16.8603 | − | 29.2029i | −0.788691 | − | 1.36605i | −0.926769 | − | 0.375631i | \(-0.877426\pi\) |
0.138078 | − | 0.990421i | \(-0.455907\pi\) | |||||||
\(458\) | −0.875443 | + | 4.96489i | −0.0409068 | + | 0.231994i | ||||
\(459\) | −9.86113 | + | 14.4418i | −0.460278 | + | 0.674084i | ||||
\(460\) | −15.3307 | − | 5.57991i | −0.714796 | − | 0.260165i | ||||
\(461\) | 8.54018 | + | 7.16606i | 0.397756 | + | 0.333757i | 0.819625 | − | 0.572900i | \(-0.194182\pi\) |
−0.421870 | + | 0.906656i | \(0.638626\pi\) | |||||||
\(462\) | −6.51983 | + | 19.9372i | −0.303330 | + | 0.927562i | ||||
\(463\) | −25.6860 | −1.19373 | −0.596864 | − | 0.802343i | \(-0.703587\pi\) | ||||
−0.596864 | + | 0.802343i | \(0.703587\pi\) | |||||||
\(464\) | 3.18683 | + | 5.51974i | 0.147945 | + | 0.256248i | ||||
\(465\) | −19.0629 | + | 58.2931i | −0.884021 | + | 2.70328i | ||||
\(466\) | 1.77477 | − | 1.48921i | 0.0822148 | − | 0.0689864i | ||||
\(467\) | 15.9599 | − | 27.6433i | 0.738534 | − | 1.27918i | −0.214621 | − | 0.976697i | \(-0.568852\pi\) |
0.953155 | − | 0.302481i | \(-0.0978150\pi\) | |||||||
\(468\) | 8.02896 | + | 12.0014i | 0.371139 | + | 0.554764i | ||||
\(469\) | 18.4200 | − | 15.4562i | 0.850558 | − | 0.713703i | ||||
\(470\) | −6.21336 | − | 5.21363i | −0.286601 | − | 0.240487i | ||||
\(471\) | −3.71427 | + | 11.3580i | −0.171144 | + | 0.523348i | ||||
\(472\) | 3.99129 | − | 1.45271i | 0.183714 | − | 0.0668664i | ||||
\(473\) | −35.1460 | − | 29.4910i | −1.61601 | − | 1.35600i | ||||
\(474\) | 0.476490 | + | 14.4296i | 0.0218859 | + | 0.662774i | ||||
\(475\) | 23.1692 | + | 14.3306i | 1.06308 | + | 0.657534i | ||||
\(476\) | −9.64842 | −0.442234 | ||||||||
\(477\) | −1.01439 | − | 0.742897i | −0.0464459 | − | 0.0340149i | ||||
\(478\) | 7.12967 | + | 5.98250i | 0.326103 | + | 0.273633i | ||||
\(479\) | −4.78413 | − | 27.1321i | −0.218592 | − | 1.23970i | −0.874563 | − | 0.484912i | \(-0.838852\pi\) |
0.655971 | − | 0.754786i | \(-0.272260\pi\) | |||||||
\(480\) | 5.75139 | + | 0.819433i | 0.262514 | + | 0.0374018i | ||||
\(481\) | −6.39875 | − | 36.2891i | −0.291758 | − | 1.65464i | ||||
\(482\) | −24.5926 | −1.12016 | ||||||||
\(483\) | −0.797145 | − | 24.1401i | −0.0362713 | − | 1.09841i | ||||
\(484\) | 5.24312 | − | 4.39950i | 0.238324 | − | 0.199977i | ||||
\(485\) | −2.30603 | − | 13.0781i | −0.104711 | − | 0.593848i | ||||
\(486\) | 14.5971 | + | 5.47026i | 0.662139 | + | 0.248136i | ||||
\(487\) | −11.8195 | − | 20.4719i | −0.535591 | − | 0.927672i | −0.999134 | − | 0.0415971i | \(-0.986755\pi\) |
0.463543 | − | 0.886074i | \(-0.346578\pi\) | |||||||
\(488\) | 11.8021 | + | 4.29562i | 0.534256 | + | 0.194453i | ||||
\(489\) | −14.8180 | + | 18.8922i | −0.670093 | + | 0.854334i | ||||
\(490\) | −3.13258 | + | 2.62855i | −0.141516 | + | 0.118746i | ||||
\(491\) | −5.94175 | + | 2.16262i | −0.268148 | + | 0.0975977i | −0.472595 | − | 0.881280i | \(-0.656683\pi\) |
0.204447 | + | 0.978878i | \(0.434460\pi\) | |||||||
\(492\) | −4.10859 | + | 5.23824i | −0.185230 | + | 0.236158i | ||||
\(493\) | 10.7251 | + | 18.5763i | 0.483032 | + | 0.836637i | ||||
\(494\) | 6.57450 | + | 19.9233i | 0.295801 | + | 0.896391i | ||||
\(495\) | 18.7781 | − | 38.1330i | 0.844014 | − | 1.71395i | ||||
\(496\) | −1.83321 | + | 10.3967i | −0.0823137 | + | 0.466824i | ||||
\(497\) | −0.195011 | + | 1.10597i | −0.00874746 | + | 0.0496093i | ||||
\(498\) | 2.82235 | − | 8.63055i | 0.126472 | − | 0.386744i | ||||
\(499\) | 0.0400636 | − | 0.227212i | 0.00179349 | − | 0.0101714i | −0.983898 | − | 0.178732i | \(-0.942801\pi\) |
0.985691 | + | 0.168560i | \(0.0539117\pi\) | |||||||
\(500\) | −0.728023 | − | 4.12883i | −0.0325582 | − | 0.184647i | ||||
\(501\) | 18.0025 | − | 11.2018i | 0.804291 | − | 0.500458i | ||||
\(502\) | −6.45861 | −0.288262 | ||||||||
\(503\) | 7.23002 | + | 41.0035i | 0.322371 | + | 1.82826i | 0.527542 | + | 0.849529i | \(0.323114\pi\) |
−0.205171 | + | 0.978726i | \(0.565775\pi\) | |||||||
\(504\) | 2.04903 | + | 8.35310i | 0.0912711 | + | 0.372076i | ||||
\(505\) | 0.747705 | − | 1.29506i | 0.0332724 | − | 0.0576296i | ||||
\(506\) | −10.2736 | + | 17.7943i | −0.456715 | + | 0.791054i | ||||
\(507\) | 17.2308 | − | 3.62837i | 0.765246 | − | 0.161142i | ||||
\(508\) | 0.0142185 | − | 0.0806373i | 0.000630845 | − | 0.00357770i | ||||
\(509\) | −2.98199 | + | 2.50219i | −0.132174 | + | 0.110907i | −0.706478 | − | 0.707735i | \(-0.749717\pi\) |
0.574304 | + | 0.818642i | \(0.305273\pi\) | |||||||
\(510\) | 19.3559 | + | 2.75775i | 0.857095 | + | 0.122115i | ||||
\(511\) | 22.0124 | − | 8.01186i | 0.973772 | − | 0.354424i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 18.3090 | + | 13.3334i | 0.808364 | + | 0.588683i | ||||
\(514\) | −14.3062 | −0.631019 | ||||||||
\(515\) | −22.7877 | + | 8.29403i | −1.00414 | + | 0.365479i | ||||
\(516\) | −18.6238 | − | 2.65343i | −0.819865 | − | 0.116811i | ||||
\(517\) | −7.82532 | + | 6.56622i | −0.344157 | + | 0.288782i | ||||
\(518\) | 3.81137 | − | 21.6153i | 0.167462 | − | 0.949724i | ||||
\(519\) | −32.5445 | + | 6.85305i | −1.42854 | + | 0.300815i | ||||
\(520\) | 8.07188 | − | 13.9809i | 0.353975 | − | 0.613103i | ||||
\(521\) | −9.07936 | + | 15.7259i | −0.397774 | + | 0.688965i | −0.993451 | − | 0.114259i | \(-0.963551\pi\) |
0.595677 | + | 0.803224i | \(0.296884\pi\) | |||||||
\(522\) | 13.8048 | − | 13.2303i | 0.604218 | − | 0.579072i | ||||
\(523\) | 0.0448143 | + | 0.254155i | 0.00195959 | + | 0.0111134i | 0.985772 | − | 0.168089i | \(-0.0537595\pi\) |
−0.983812 | + | 0.179202i | \(0.942648\pi\) | |||||||
\(524\) | −10.7558 | −0.469870 | ||||||||
\(525\) | 26.3504 | − | 16.3961i | 1.15003 | − | 0.715586i | ||||
\(526\) | −4.11500 | − | 23.3373i | −0.179422 | − | 1.01755i | ||||
\(527\) | −6.16957 | + | 34.9894i | −0.268751 | + | 1.52416i | ||||
\(528\) | 2.27416 | − | 6.95424i | 0.0989702 | − | 0.302644i | ||||
\(529\) | 0.114463 | − | 0.649150i | 0.00497664 | − | 0.0282239i | ||||
\(530\) | −0.244104 | + | 1.38439i | −0.0106032 | + | 0.0601339i | ||||
\(531\) | −7.08528 | − | 10.5908i | −0.307475 | − | 0.459602i | ||||
\(532\) | −0.378919 | + | 12.4908i | −0.0164282 | + | 0.541547i | ||||
\(533\) | 9.24989 | + | 16.0213i | 0.400657 | + | 0.693959i | ||||
\(534\) | 2.46907 | − | 3.14794i | 0.106847 | − | 0.136225i | ||||
\(535\) | −29.5114 | + | 10.7413i | −1.27589 | + | 0.464386i | ||||
\(536\) | −6.42504 | + | 5.39125i | −0.277519 | + | 0.232866i | ||||
\(537\) | −8.53523 | + | 10.8820i | −0.368322 | + | 0.469592i | ||||
\(538\) | 7.28845 | + | 2.65278i | 0.314227 | + | 0.114369i | ||||
\(539\) | 2.57510 | + | 4.46020i | 0.110917 | + | 0.192114i | ||||
\(540\) | −1.72310 | − | 17.3430i | −0.0741503 | − | 0.746324i | ||||
\(541\) | 4.75043 | + | 26.9410i | 0.204237 | + | 1.15828i | 0.898636 | + | 0.438695i | \(0.144559\pi\) |
−0.694399 | + | 0.719590i | \(0.744330\pi\) | |||||||
\(542\) | 6.74296 | − | 5.65802i | 0.289635 | − | 0.243033i | ||||
\(543\) | 0.864091 | + | 26.1674i | 0.0370817 | + | 1.12295i | ||||
\(544\) | 3.36544 | 0.144292 | ||||||||
\(545\) | −8.86606 | − | 50.2819i | −0.379780 | − | 2.15384i | ||||
\(546\) | 23.6614 | + | 3.37118i | 1.01261 | + | 0.144273i | ||||
\(547\) | 2.77408 | + | 15.7326i | 0.118611 | + | 0.672677i | 0.984899 | + | 0.173131i | \(0.0553885\pi\) |
−0.866288 | + | 0.499545i | \(0.833500\pi\) | |||||||
\(548\) | 4.12285 | + | 3.45948i | 0.176120 | + | 0.147782i | ||||
\(549\) | 4.08062 | − | 37.4570i | 0.174157 | − | 1.59863i | ||||
\(550\) | −26.4015 | −1.12576 | ||||||||
\(551\) | 24.4701 | − | 13.1551i | 1.04246 | − | 0.560427i | ||||
\(552\) | 0.278050 | + | 8.42022i | 0.0118346 | + | 0.358389i | ||||
\(553\) | 18.3062 | + | 15.3608i | 0.778460 | + | 0.653206i | ||||
\(554\) | −0.910043 | + | 0.331229i | −0.0386640 | + | 0.0140726i | ||||
\(555\) | −13.8243 | + | 42.2737i | −0.586807 | + | 1.79442i | ||||
\(556\) | 13.6053 | + | 11.4162i | 0.576994 | + | 0.484156i | ||||
\(557\) | 20.8766 | − | 17.5176i | 0.884570 | − | 0.742243i | −0.0825433 | − | 0.996587i | \(-0.526304\pi\) |
0.967114 | + | 0.254345i | \(0.0818598\pi\) | |||||||
\(558\) | 31.6022 | − | 2.08939i | 1.33783 | − | 0.0884510i | ||||
\(559\) | −26.1378 | + | 45.2721i | −1.10551 | + | 1.91480i | ||||
\(560\) | 7.36621 | − | 6.18099i | 0.311279 | − | 0.261194i | ||||
\(561\) | 7.65355 | − | 23.4040i | 0.323133 | − | 0.988120i | ||||
\(562\) | 13.2877 | + | 23.0149i | 0.560507 | + | 0.970827i | ||||
\(563\) | −15.0416 | −0.633926 | −0.316963 | − | 0.948438i | \(-0.602663\pi\) | ||||
−0.316963 | + | 0.948438i | \(0.602663\pi\) | |||||||
\(564\) | −1.30187 | + | 3.98103i | −0.0548186 | + | 0.167632i | ||||
\(565\) | −15.1581 | − | 12.7192i | −0.637706 | − | 0.535099i | ||||
\(566\) | 2.91138 | + | 1.05966i | 0.122374 | + | 0.0445407i | ||||
\(567\) | 22.8733 | − | 11.9402i | 0.960587 | − | 0.501441i | ||||
\(568\) | 0.0680214 | − | 0.385769i | 0.00285411 | − | 0.0161865i | ||||
\(569\) | 17.0082 | + | 29.4590i | 0.713020 | + | 1.23499i | 0.963718 | + | 0.266922i | \(0.0860065\pi\) |
−0.250698 | + | 0.968065i | \(0.580660\pi\) | |||||||
\(570\) | 4.33034 | − | 24.9499i | 0.181378 | − | 1.04504i | ||||
\(571\) | −14.6241 | + | 25.3298i | −0.612002 | + | 1.06002i | 0.378901 | + | 0.925437i | \(0.376302\pi\) |
−0.990903 | + | 0.134581i | \(0.957031\pi\) | |||||||
\(572\) | −15.5752 | − | 13.0692i | −0.651233 | − | 0.546449i | ||||
\(573\) | −11.8076 | − | 29.3851i | −0.493268 | − | 1.22758i | ||||
\(574\) | 1.91347 | + | 10.8519i | 0.0798669 | + | 0.452948i | ||||
\(575\) | 28.5669 | − | 10.3975i | 1.19132 | − | 0.433606i | ||||
\(576\) | −0.714717 | − | 2.91362i | −0.0297799 | − | 0.121401i | ||||
\(577\) | −12.1402 | − | 21.0274i | −0.505402 | − | 0.875382i | −0.999980 | − | 0.00624895i | \(-0.998011\pi\) |
0.494578 | − | 0.869133i | \(-0.335322\pi\) | |||||||
\(578\) | −5.67383 | −0.236000 | ||||||||
\(579\) | −16.0685 | + | 3.38361i | −0.667782 | + | 0.140618i | ||||
\(580\) | −20.0886 | − | 7.31165i | −0.834134 | − | 0.303600i | ||||
\(581\) | −7.51493 | − | 13.0162i | −0.311772 | − | 0.540004i | ||||
\(582\) | −5.82256 | + | 3.62300i | −0.241353 | + | 0.150178i | ||||
\(583\) | 1.66367 | + | 0.605526i | 0.0689021 | + | 0.0250783i | ||||
\(584\) | −7.67809 | + | 2.79459i | −0.317721 | + | 0.115641i | ||||
\(585\) | −46.5042 | − | 13.5260i | −1.92271 | − | 0.559231i | ||||
\(586\) | −7.13654 | − | 5.98827i | −0.294808 | − | 0.247373i | ||||
\(587\) | 10.9740 | − | 3.99422i | 0.452946 | − | 0.164859i | −0.105465 | − | 0.994423i | \(-0.533633\pi\) |
0.558412 | + | 0.829564i | \(0.311411\pi\) | |||||||
\(588\) | 1.86264 | + | 0.994921i | 0.0768140 | + | 0.0410298i | ||||
\(589\) | 45.0549 | + | 9.36125i | 1.85646 | + | 0.385723i | ||||
\(590\) | −7.12316 | + | 12.3377i | −0.293256 | + | 0.507934i | ||||
\(591\) | 0.634895 | + | 1.58004i | 0.0261161 | + | 0.0649942i | ||||
\(592\) | −1.32943 | + | 7.53959i | −0.0546393 | + | 0.309875i | ||||
\(593\) | 35.2980 | + | 12.8474i | 1.44952 | + | 0.527581i | 0.942456 | − | 0.334330i | \(-0.108510\pi\) |
0.507060 | + | 0.861911i | \(0.330732\pi\) | |||||||
\(594\) | −21.8874 | − | 1.65573i | −0.898050 | − | 0.0679355i | ||||
\(595\) | 24.7905 | − | 20.8017i | 1.01631 | − | 0.852787i | ||||
\(596\) | −1.48132 | + | 2.56573i | −0.0606774 | + | 0.105096i | ||||
\(597\) | −0.557168 | − | 16.8728i | −0.0228034 | − | 0.690558i | ||||
\(598\) | 21.9996 | + | 8.00719i | 0.899630 | + | 0.327439i | ||||
\(599\) | 7.47459 | + | 2.72053i | 0.305403 | + | 0.111158i | 0.490176 | − | 0.871624i | \(-0.336933\pi\) |
−0.184772 | + | 0.982781i | \(0.559155\pi\) | |||||||
\(600\) | −9.19121 | + | 5.71909i | −0.375230 | + | 0.233481i | ||||
\(601\) | 18.7603 | − | 32.4938i | 0.765250 | − | 1.32545i | −0.174864 | − | 0.984593i | \(-0.555949\pi\) |
0.940114 | − | 0.340859i | \(-0.110718\pi\) | |||||||
\(602\) | −23.8528 | + | 20.0149i | −0.972167 | + | 0.815745i | ||||
\(603\) | 20.3001 | + | 14.8669i | 0.826685 | + | 0.605427i | ||||
\(604\) | 7.27284 | + | 2.64710i | 0.295928 | + | 0.107709i | ||||
\(605\) | −3.98641 | + | 22.6081i | −0.162071 | + | 0.919148i | ||||
\(606\) | −0.764507 | − | 0.108924i | −0.0310560 | − | 0.00442472i | ||||
\(607\) | 17.2781 | − | 29.9266i | 0.701298 | − | 1.21468i | −0.266713 | − | 0.963776i | \(-0.585938\pi\) |
0.968011 | − | 0.250908i | \(-0.0807291\pi\) | |||||||
\(608\) | 0.132170 | − | 4.35689i | 0.00536019 | − | 0.176695i | ||||
\(609\) | −1.04454 | − | 31.6320i | −0.0423270 | − | 1.28179i | ||||
\(610\) | −39.5854 | + | 14.4079i | −1.60277 | + | 0.583359i | ||||
\(611\) | 8.91621 | + | 7.48158i | 0.360711 | + | 0.302673i | ||||
\(612\) | −2.40534 | − | 9.80560i | −0.0972299 | − | 0.396368i | ||||
\(613\) | −20.1533 | + | 7.33519i | −0.813983 | + | 0.296265i | −0.715268 | − | 0.698850i | \(-0.753695\pi\) |
−0.0987148 | + | 0.995116i | \(0.531473\pi\) | |||||||
\(614\) | −10.4524 | − | 3.80436i | −0.421825 | − | 0.153532i | ||||
\(615\) | −0.736947 | − | 22.3171i | −0.0297166 | − | 0.899912i | ||||
\(616\) | −6.05530 | − | 10.4881i | −0.243975 | − | 0.422577i | ||||
\(617\) | −22.1224 | − | 8.05190i | −0.890614 | − | 0.324157i | −0.144129 | − | 0.989559i | \(-0.546038\pi\) |
−0.746485 | + | 0.665402i | \(0.768260\pi\) | |||||||
\(618\) | 8.36167 | + | 9.32208i | 0.336356 | + | 0.374989i | ||||
\(619\) | −2.63057 | −0.105731 | −0.0528657 | − | 0.998602i | \(-0.516836\pi\) | ||||
−0.0528657 | + | 0.998602i | \(0.516836\pi\) | |||||||
\(620\) | −17.7047 | − | 30.6654i | −0.711038 | − | 1.23155i | ||||
\(621\) | 24.3346 | − | 6.82821i | 0.976514 | − | 0.274007i | ||||
\(622\) | 26.6743 | − | 9.70863i | 1.06954 | − | 0.389281i | ||||
\(623\) | −1.14991 | − | 6.52147i | −0.0460702 | − | 0.261277i | ||||
\(624\) | −8.25327 | − | 1.17589i | −0.330395 | − | 0.0470733i | ||||
\(625\) | −13.1666 | − | 11.0481i | −0.526663 | − | 0.441922i | ||||
\(626\) | 2.55004 | − | 4.41680i | 0.101920 | − | 0.176531i | ||||
\(627\) | −29.9983 | − | 10.8274i | −1.19802 | − | 0.432406i | ||||
\(628\) | −3.44963 | − | 5.97494i | −0.137655 | − | 0.238426i | ||||
\(629\) | −4.47412 | + | 25.3740i | −0.178395 | + | 1.01173i | ||||
\(630\) | −23.2738 | − | 17.0447i | −0.927250 | − | 0.679077i | ||||
\(631\) | −41.6655 | − | 15.1650i | −1.65868 | − | 0.603710i | −0.668524 | − | 0.743690i | \(-0.733074\pi\) |
−0.990154 | + | 0.139981i | \(0.955296\pi\) | |||||||
\(632\) | −6.38535 | − | 5.35794i | −0.253995 | − | 0.213128i | ||||
\(633\) | −9.81846 | − | 10.9462i | −0.390249 | − | 0.435072i | ||||
\(634\) | −17.2152 | −0.683701 | ||||||||
\(635\) | 0.137319 | + | 0.237843i | 0.00544933 | + | 0.00943852i | ||||
\(636\) | 0.710345 | − | 0.149581i | 0.0281670 | − | 0.00593126i | ||||
\(637\) | 4.49527 | − | 3.77198i | 0.178109 | − | 0.149451i | ||||
\(638\) | −13.4620 | + | 23.3169i | −0.532965 | + | 0.923123i | ||||
\(639\) | −1.17260 | + | 0.0775269i | −0.0463873 | + | 0.00306691i | ||||
\(640\) | −2.56939 | + | 2.15597i | −0.101564 | + | 0.0852223i | ||||
\(641\) | 32.4001 | + | 27.1869i | 1.27973 | + | 1.07382i | 0.993282 | + | 0.115723i | \(0.0369184\pi\) |
0.286446 | + | 0.958096i | \(0.407526\pi\) | |||||||
\(642\) | 10.8289 | + | 12.0727i | 0.427381 | + | 0.476470i | ||||
\(643\) | −27.4528 | + | 9.99200i | −1.08263 | + | 0.394046i | −0.820887 | − | 0.571091i | \(-0.806520\pi\) |
−0.261746 | + | 0.965137i | \(0.584298\pi\) | |||||||
\(644\) | 10.6824 | + | 8.96359i | 0.420945 | + | 0.353215i | ||||
\(645\) | 53.5724 | − | 33.3346i | 2.10941 | − | 1.31255i | ||||
\(646\) | 0.444809 | − | 14.6629i | 0.0175008 | − | 0.576902i | ||||
\(647\) | −43.5379 | −1.71165 | −0.855825 | − | 0.517265i | \(-0.826950\pi\) | ||||
−0.855825 | + | 0.517265i | \(0.826950\pi\) | |||||||
\(648\) | −7.97836 | + | 4.16483i | −0.313420 | + | 0.163610i | ||||
\(649\) | 13.7446 | + | 11.5331i | 0.539523 | + | 0.452713i | ||||
\(650\) | 5.22369 | + | 29.6250i | 0.204890 | + | 1.16199i | ||||
\(651\) | 32.3529 | − | 41.2482i | 1.26801 | − | 1.61665i | ||||
\(652\) | −2.40716 | − | 13.6517i | −0.0942716 | − | 0.534641i | ||||
\(653\) | 29.9822 | 1.17329 | 0.586647 | − | 0.809843i | \(-0.300448\pi\) | ||||
0.586647 | + | 0.809843i | \(0.300448\pi\) | |||||||
\(654\) | −22.3862 | + | 13.9294i | −0.875368 | + | 0.544684i | ||||
\(655\) | 27.6359 | − | 23.1892i | 1.07982 | − | 0.906078i | ||||
\(656\) | −0.667434 | − | 3.78520i | −0.0260589 | − | 0.147787i | ||||
\(657\) | 13.6300 | + | 20.3737i | 0.531759 | + | 0.794853i | ||||
\(658\) | 3.46642 | + | 6.00402i | 0.135135 | + | 0.234061i | ||||
\(659\) | −32.6438 | − | 11.8814i | −1.27162 | − | 0.462833i | −0.383969 | − | 0.923346i | \(-0.625443\pi\) |
−0.887653 | + | 0.460513i | \(0.847665\pi\) | |||||||
\(660\) | 9.14994 | + | 22.7712i | 0.356161 | + | 0.886366i | ||||
\(661\) | 0.106754 | − | 0.0895776i | 0.00415227 | − | 0.00348417i | −0.640709 | − | 0.767784i | \(-0.721360\pi\) |
0.644861 | + | 0.764300i | \(0.276915\pi\) | |||||||
\(662\) | −5.92879 | + | 2.15790i | −0.230429 | + | 0.0838693i | ||||
\(663\) | −27.7758 | − | 3.95738i | −1.07872 | − | 0.153692i | ||||
\(664\) | 2.62126 | + | 4.54016i | 0.101725 | + | 0.176192i | ||||
\(665\) | −25.9563 | − | 32.9108i | −1.00654 | − | 1.27622i | ||||
\(666\) | 22.9177 | − | 1.51521i | 0.888041 | − | 0.0587132i | ||||
\(667\) | 5.38342 | − | 30.5309i | 0.208447 | − | 1.18216i | ||||
\(668\) | −2.12573 | + | 12.0556i | −0.0822468 | + | 0.466445i | ||||
\(669\) | −0.157526 | − | 0.175619i | −0.00609029 | − | 0.00678981i | ||||
\(670\) | 4.88504 | − | 27.7044i | 0.188725 | − | 1.07031i | ||||
\(671\) | 9.21288 | + | 52.2488i | 0.355659 | + | 2.01704i | ||||
\(672\) | −4.37997 | − | 2.33954i | −0.168961 | − | 0.0902497i | ||||
\(673\) | 18.9188 | 0.729267 | 0.364633 | − | 0.931151i | \(-0.381194\pi\) | ||||
0.364633 | + | 0.931151i | \(0.381194\pi\) | |||||||
\(674\) | −0.232685 | − | 1.31962i | −0.00896268 | − | 0.0508299i | ||||
\(675\) | 23.2324 | + | 22.6922i | 0.894214 | + | 0.873422i | ||||
\(676\) | −5.08318 | + | 8.80433i | −0.195507 | + | 0.338628i | ||||
\(677\) | −13.7274 | + | 23.7765i | −0.527587 | + | 0.913807i | 0.471896 | + | 0.881654i | \(0.343570\pi\) |
−0.999483 | + | 0.0321527i | \(0.989764\pi\) | |||||||
\(678\) | −3.17604 | + | 9.71211i | −0.121975 | + | 0.372991i | ||||
\(679\) | −1.97108 | + | 11.1785i | −0.0756431 | + | 0.428993i | ||||
\(680\) | −8.64711 | + | 7.25579i | −0.331602 | + | 0.278247i | ||||
\(681\) | 13.1027 | + | 32.6082i | 0.502096 | + | 1.24955i | ||||
\(682\) | −41.9064 | + | 15.2527i | −1.60468 | + | 0.584055i | ||||
\(683\) | 46.6042 | 1.78326 | 0.891630 | − | 0.452765i | \(-0.149562\pi\) | ||||
0.891630 | + | 0.452765i | \(0.149562\pi\) | |||||||
\(684\) | −12.7888 | + | 2.72885i | −0.488992 | + | 0.104340i | ||||
\(685\) | −18.0518 | −0.689722 | ||||||||
\(686\) | −15.5736 | + | 5.66832i | −0.594603 | + | 0.216418i | ||||
\(687\) | −5.38906 | + | 6.87077i | −0.205605 | + | 0.262136i | ||||
\(688\) | 8.32002 | − | 6.98133i | 0.317198 | − | 0.266161i | ||||
\(689\) | 0.350291 | − | 1.98660i | 0.0133450 | − | 0.0756834i | ||||
\(690\) | −18.8682 | − | 21.0354i | −0.718300 | − | 0.800802i | ||||
\(691\) | 2.66638 | − | 4.61831i | 0.101434 | − | 0.175689i | −0.810842 | − | 0.585266i | \(-0.800990\pi\) |
0.912276 | + | 0.409577i | \(0.134324\pi\) | |||||||
\(692\) | 9.60081 | − | 16.6291i | 0.364968 | − | 0.632143i | ||||
\(693\) | −26.2305 | + | 25.1389i | −0.996413 | + | 0.954946i | ||||
\(694\) | −2.17881 | − | 12.3566i | −0.0827064 | − | 0.469051i | ||||
\(695\) | −59.5704 | −2.25963 | ||||||||
\(696\) | 0.364344 | + | 11.0335i | 0.0138104 | + | 0.418223i | ||||
\(697\) | −2.24621 | − | 12.7389i | −0.0850811 | − | 0.482519i | ||||
\(698\) | 2.48406 | − | 14.0878i | 0.0940229 | − | 0.533230i | ||||
\(699\) | 3.92671 | − | 0.826865i | 0.148522 | − | 0.0312749i | ||||
\(700\) | −3.11145 | + | 17.6459i | −0.117602 | + | 0.666953i | ||||
\(701\) | −3.05797 | + | 17.3426i | −0.115498 | + | 0.655021i | 0.871005 | + | 0.491275i | \(0.163469\pi\) |
−0.986503 | + | 0.163746i | \(0.947642\pi\) | |||||||
\(702\) | 2.47265 | + | 24.8873i | 0.0933243 | + | 0.939311i | ||||
\(703\) | 32.6735 | + | 6.78870i | 1.23230 | + | 0.256041i | ||||
\(704\) | 2.11213 | + | 3.65832i | 0.0796040 | + | 0.137878i | ||||
\(705\) | −5.23798 | − | 13.0356i | −0.197274 | − | 0.490949i | ||||
\(706\) | 23.7085 | − | 8.62917i | 0.892279 | − | 0.324763i | ||||
\(707\) | −0.979159 | + | 0.821612i | −0.0368251 | + | 0.0308999i | ||||
\(708\) | 7.28323 | + | 1.03768i | 0.273720 | + | 0.0389985i | ||||
\(709\) | 10.4124 | + | 3.78979i | 0.391045 | + | 0.142329i | 0.530057 | − | 0.847962i | \(-0.322171\pi\) |
−0.139012 | + | 0.990291i | \(0.544393\pi\) | |||||||
\(710\) | 0.656933 | + | 1.13784i | 0.0246543 | + | 0.0427024i | ||||
\(711\) | −11.0473 | + | 22.4339i | −0.414306 | + | 0.841336i | ||||
\(712\) | 0.401097 | + | 2.27473i | 0.0150317 | + | 0.0852493i | ||||
\(713\) | 39.3366 | − | 33.0073i | 1.47317 | − | 1.23613i | ||||
\(714\) | −14.7405 | − | 7.87357i | −0.551650 | − | 0.294661i | ||||
\(715\) | 68.1955 | 2.55037 | ||||||||
\(716\) | −1.38653 | − | 7.86342i | −0.0518172 | − | 0.293870i | ||||
\(717\) | 6.01045 | + | 14.9580i | 0.224464 | + | 0.558617i | ||||
\(718\) | 0.556396 | + | 3.15548i | 0.0207645 | + | 0.117762i | ||||
\(719\) | 27.6570 | + | 23.2070i | 1.03143 | + | 0.865473i | 0.991021 | − | 0.133710i | \(-0.0426890\pi\) |
0.0404104 | + | 0.999183i | \(0.487133\pi\) | |||||||
\(720\) | 8.11807 | + | 5.94531i | 0.302543 | + | 0.221569i | ||||
\(721\) | 20.7278 | 0.771943 | ||||||||
\(722\) | −18.9651 | − | 1.15170i | −0.705807 | − | 0.0428618i | ||||
\(723\) | −37.5717 | − | 20.0687i | −1.39731 | − | 0.746364i | ||||
\(724\) | −11.5795 | − | 9.71638i | −0.430350 | − | 0.361106i | ||||
\(725\) | 37.4328 | − | 13.6244i | 1.39022 | − | 0.505998i | ||||
\(726\) | 11.6005 | − | 2.44277i | 0.430534 | − | 0.0906595i | ||||
\(727\) | 38.3694 | + | 32.1958i | 1.42304 | + | 1.19407i | 0.949686 | + | 0.313204i | \(0.101402\pi\) |
0.473357 | + | 0.880871i | \(0.343042\pi\) | |||||||
\(728\) | −10.5705 | + | 8.86974i | −0.391771 | + | 0.328735i | ||||
\(729\) | 17.8370 | + | 20.2692i | 0.660629 | + | 0.750712i | ||||
\(730\) | 13.7029 | − | 23.7341i | 0.507168 | − | 0.878440i | ||||
\(731\) | 28.0005 | − | 23.4952i | 1.03564 | − | 0.869002i | ||||
\(732\) | 14.5254 | + | 16.1938i | 0.536875 | + | 0.598539i | ||||
\(733\) | −14.5319 | − | 25.1699i | −0.536747 | − | 0.929673i | −0.999077 | − | 0.0429647i | \(-0.986320\pi\) |
0.462330 | − | 0.886708i | \(-0.347014\pi\) | |||||||
\(734\) | 5.83698 | 0.215447 | ||||||||
\(735\) | −6.93087 | + | 1.45947i | −0.255649 | + | 0.0538332i | ||||
\(736\) | −3.72609 | − | 3.12656i | −0.137346 | − | 0.115247i | ||||
\(737\) | −33.2934 | − | 12.1178i | −1.22638 | − | 0.446366i | ||||
\(738\) | −10.5516 | + | 4.65000i | −0.388410 | + | 0.171169i | ||||
\(739\) | −2.86018 | + | 16.2209i | −0.105213 | + | 0.596695i | 0.885921 | + | 0.463835i | \(0.153527\pi\) |
−0.991135 | + | 0.132860i | \(0.957584\pi\) | |||||||
\(740\) | −12.8393 | − | 22.2383i | −0.471983 | − | 0.817498i | ||||
\(741\) | −6.21406 | + | 35.8032i | −0.228279 | + | 1.31526i | ||||
\(742\) | 0.600779 | − | 1.04058i | 0.0220553 | − | 0.0382009i | ||||
\(743\) | −36.2338 | − | 30.4038i | −1.32929 | − | 1.11541i | −0.984243 | − | 0.176820i | \(-0.943419\pi\) |
−0.345046 | − | 0.938586i | \(-0.612137\pi\) | |||||||
\(744\) | −11.2849 | + | 14.3877i | −0.413725 | + | 0.527478i | ||||
\(745\) | −1.72554 | − | 9.78605i | −0.0632191 | − | 0.358533i | ||||
\(746\) | 26.7504 | − | 9.73634i | 0.979401 | − | 0.356473i | ||||
\(747\) | 11.3548 | − | 10.8823i | 0.415451 | − | 0.398162i | ||||
\(748\) | 7.10825 | + | 12.3118i | 0.259903 | + | 0.450166i | ||||
\(749\) | 26.8437 | 0.980849 | ||||||||
\(750\) | 2.25707 | − | 6.90198i | 0.0824166 | − | 0.252025i | ||||
\(751\) | 5.01125 | + | 1.82395i | 0.182863 | + | 0.0665567i | 0.431829 | − | 0.901956i | \(-0.357868\pi\) |
−0.248966 | + | 0.968512i | \(0.580091\pi\) | |||||||
\(752\) | −1.20911 | − | 2.09425i | −0.0440918 | − | 0.0763693i | ||||
\(753\) | −9.86724 | − | 5.27054i | −0.359582 | − | 0.192069i | ||||
\(754\) | 28.8272 | + | 10.4923i | 1.04983 | + | 0.382105i | ||||
\(755\) | −24.3938 | + | 8.87862i | −0.887782 | + | 0.323126i | ||||
\(756\) | −3.68609 | + | 14.4337i | −0.134062 | + | 0.524948i | ||||
\(757\) | −25.8273 | − | 21.6716i | −0.938708 | − | 0.787669i | 0.0386522 | − | 0.999253i | \(-0.487694\pi\) |
−0.977360 | + | 0.211583i | \(0.932138\pi\) | |||||||
\(758\) | 12.4136 | − | 4.51817i | 0.450881 | − | 0.164107i | ||||
\(759\) | −30.2166 | + | 18.8018i | −1.09679 | + | 0.682463i | ||||
\(760\) | 9.05375 | + | 11.4795i | 0.328414 | + | 0.416405i | ||||
\(761\) | −15.0316 | + | 26.0355i | −0.544894 | + | 0.943785i | 0.453719 | + | 0.891145i | \(0.350097\pi\) |
−0.998614 | + | 0.0526401i | \(0.983236\pi\) | |||||||
\(762\) | 0.0875265 | − | 0.111592i | 0.00317075 | − | 0.00404255i | ||||
\(763\) | −7.57826 | + | 42.9784i | −0.274351 | + | 1.55592i | ||||
\(764\) | 17.1812 | + | 6.25346i | 0.621595 | + | 0.226242i | ||||
\(765\) | 27.3208 | + | 20.0086i | 0.987787 | + | 0.723411i | ||||
\(766\) | −4.46247 | + | 3.74446i | −0.161236 | + | 0.135293i | ||||
\(767\) | 10.2218 | − | 17.7046i | 0.369087 | − | 0.639277i | ||||
\(768\) | 1.52776 | + | 0.816048i | 0.0551285 | + | 0.0294466i | ||||
\(769\) | −45.1064 | − | 16.4174i | −1.62658 | − | 0.592027i | −0.641960 | − | 0.766738i | \(-0.721878\pi\) |
−0.984620 | + | 0.174712i | \(0.944101\pi\) | |||||||
\(770\) | 38.1704 | + | 13.8929i | 1.37557 | + | 0.500666i | ||||
\(771\) | −21.8565 | − | 11.6745i | −0.787143 | − | 0.420448i | ||||
\(772\) | 4.74029 | − | 8.21042i | 0.170607 | − | 0.295500i | ||||
\(773\) | 9.11125 | − | 7.64525i | 0.327709 | − | 0.274980i | −0.464057 | − | 0.885806i | \(-0.653607\pi\) |
0.791766 | + | 0.610825i | \(0.209162\pi\) | |||||||
\(774\) | −26.2874 | − | 19.2517i | −0.944881 | − | 0.691988i | ||||
\(775\) | 62.0021 | + | 22.5669i | 2.22718 | + | 0.810628i | ||||
\(776\) | 0.687526 | − | 3.89916i | 0.0246808 | − | 0.139972i | ||||
\(777\) | 23.4620 | − | 29.9129i | 0.841696 | − | 1.07312i | ||||
\(778\) | 5.70599 | − | 9.88306i | 0.204570 | − | 0.354325i | ||||
\(779\) | −16.5799 | + | 2.40765i | −0.594038 | + | 0.0862629i | ||||
\(780\) | 23.7410 | − | 14.7725i | 0.850065 | − | 0.528940i | ||||
\(781\) | 1.55494 | − | 0.565950i | 0.0556400 | − | 0.0202513i | ||||
\(782\) | −12.5399 | − | 10.5223i | −0.448427 | − | 0.376275i | ||||
\(783\) | 31.8869 | − | 8.94737i | 1.13955 | − | 0.319753i | ||||
\(784\) | −1.14567 | + | 0.416989i | −0.0409167 | + | 0.0148925i | ||||
\(785\) | 21.7453 | + | 7.91462i | 0.776121 | + | 0.282485i | ||||
\(786\) | −16.4324 | − | 8.77726i | −0.586123 | − | 0.313075i | ||||
\(787\) | −6.30924 | − | 10.9279i | −0.224900 | − | 0.389538i | 0.731389 | − | 0.681960i | \(-0.238872\pi\) |
−0.956289 | + | 0.292422i | \(0.905539\pi\) | |||||||
\(788\) | −0.923838 | − | 0.336250i | −0.0329104 | − | 0.0119784i | ||||
\(789\) | 12.7576 | − | 39.0119i | 0.454183 | − | 1.38886i | ||||
\(790\) | 27.9580 | 0.994701 | ||||||||
\(791\) | 8.45668 | + | 14.6474i | 0.300685 | + | 0.520801i | ||||
\(792\) | 9.14938 | − | 8.76861i | 0.325109 | − | 0.311579i | ||||
\(793\) | 56.8053 | − | 20.6754i | 2.01721 | − | 0.734206i | ||||
\(794\) | −4.36152 | − | 24.7354i | −0.154784 | − | 0.877826i | ||||
\(795\) | −1.50266 | + | 1.91581i | −0.0532938 | + | 0.0679469i | ||||
\(796\) | 7.46650 | + | 6.26514i | 0.264643 | + | 0.222062i | ||||
\(797\) | −18.8589 | + | 32.6646i | −0.668016 | + | 1.15704i | 0.310442 | + | 0.950592i | \(0.399523\pi\) |
−0.978458 | + | 0.206445i | \(0.933810\pi\) | |||||||
\(798\) | −10.7720 | + | 18.7739i | −0.381326 | + | 0.664587i | ||||
\(799\) | −4.06920 | − | 7.04805i | −0.143958 | − | 0.249342i | ||||
\(800\) | 1.08530 | − | 6.15502i | 0.0383710 | − | 0.217613i | ||||
\(801\) | 6.34104 | − | 2.79444i | 0.224050 | − | 0.0987365i | ||||
\(802\) | −26.0449 | − | 9.47957i | −0.919678 | − | 0.334735i | ||||
\(803\) | −26.4407 | − | 22.1863i | −0.933071 | − | 0.782939i | ||||
\(804\) | −14.2155 | + | 2.99342i | −0.501341 | + | 0.105570i | ||||
\(805\) | −46.7724 | −1.64851 | ||||||||
\(806\) | 25.4063 | + | 44.0051i | 0.894900 | + | 1.55001i | ||||
\(807\) | 8.97024 | + | 10.0005i | 0.315768 | + | 0.352036i | ||||
\(808\) | 0.341538 | − | 0.286584i | 0.0120153 | − | 0.0100820i | ||||
\(809\) | 5.28592 | − | 9.15549i | 0.185843 | − | 0.321890i | −0.758017 | − | 0.652235i | \(-0.773832\pi\) |
0.943860 | + | 0.330345i | \(0.107165\pi\) | |||||||
\(810\) | 11.5202 | − | 27.9022i | 0.404780 | − | 0.980383i | ||||
\(811\) | −23.2506 | + | 19.5095i | −0.816437 | + | 0.685072i | −0.952135 | − | 0.305678i | \(-0.901117\pi\) |
0.135697 | + | 0.990750i | \(0.456672\pi\) | |||||||
\(812\) | 13.9977 | + | 11.7455i | 0.491223 | + | 0.412185i | ||||
\(813\) | 14.9189 | − | 3.14154i | 0.523228 | − | 0.110179i | ||||
\(814\) | −30.3902 | + | 11.0611i | −1.06517 | + | 0.387692i | ||||
\(815\) | 35.6176 | + | 29.8867i | 1.24763 | + | 1.04688i | ||||
\(816\) | 5.14160 | + | 2.74636i | 0.179992 | + | 0.0961418i | ||||
\(817\) | −29.3173 | − | 37.1722i | −1.02568 | − | 1.30049i | ||||
\(818\) | 30.2541 | 1.05781 | ||||||||
\(819\) | 33.3980 | + | 24.4592i | 1.16702 | + | 0.854674i | ||||
\(820\) | 9.87569 | + | 8.28669i | 0.344874 | + | 0.289384i | ||||
\(821\) | −7.82491 | − | 44.3773i | −0.273091 | − | 1.54878i | −0.744960 | − | 0.667109i | \(-0.767532\pi\) |
0.471869 | − | 0.881669i | \(-0.343580\pi\) | |||||||
\(822\) | 3.47564 | + | 8.64973i | 0.121227 | + | 0.301694i | ||||
\(823\) | −1.24265 | − | 7.04744i | −0.0433162 | − | 0.245658i | 0.955460 | − | 0.295121i | \(-0.0953601\pi\) |
−0.998776 | + | 0.0494631i | \(0.984249\pi\) | |||||||
\(824\) | −7.23000 | −0.251869 | ||||||||
\(825\) | −40.3353 | − | 21.5449i | −1.40430 | − | 0.750098i | ||||
\(826\) | 9.32815 | − | 7.82725i | 0.324568 | − | 0.272345i | ||||
\(827\) | 4.32748 | + | 24.5424i | 0.150481 | + | 0.853422i | 0.962801 | + | 0.270210i | \(0.0870931\pi\) |
−0.812320 | + | 0.583212i | \(0.801796\pi\) | |||||||
\(828\) | −6.44651 | + | 13.0910i | −0.224032 | + | 0.454945i | ||||
\(829\) | −4.99759 | − | 8.65608i | −0.173574 | − | 0.300638i | 0.766093 | − | 0.642730i | \(-0.222198\pi\) |
−0.939667 | + | 0.342091i | \(0.888865\pi\) | |||||||
\(830\) | −16.5235 | − | 6.01406i | −0.573538 | − | 0.208751i | ||||
\(831\) | −1.66063 | − | 0.236600i | −0.0576066 | − | 0.00820755i | ||||
\(832\) | 3.68708 | − | 3.09383i | 0.127827 | − | 0.107259i | ||||
\(833\) | −3.85567 | + | 1.40335i | −0.133591 | + | 0.0486232i | ||||
\(834\) | 11.4695 | + | 28.5439i | 0.397158 | + | 0.988394i | ||||
\(835\) | −20.5297 | − | 35.5585i | −0.710460 | − | 1.23055i | ||||
\(836\) | 16.2181 | − | 8.71882i | 0.560914 | − | 0.301547i | ||||
\(837\) | 49.9857 | + | 22.5968i | 1.72776 | + | 0.781060i | ||||
\(838\) | −3.32730 | + | 18.8701i | −0.114940 | + | 0.651856i | ||||
\(839\) | 6.38464 | − | 36.2091i | 0.220422 | − | 1.25008i | −0.650823 | − | 0.759229i | \(-0.725576\pi\) |
0.871246 | − | 0.490847i | \(-0.163313\pi\) | |||||||
\(840\) | 16.2978 | − | 3.43191i | 0.562328 | − | 0.118412i | ||||
\(841\) | 2.01839 | − | 11.4468i | 0.0695996 | − | 0.394719i | ||||
\(842\) | 0.195808 | + | 1.11048i | 0.00674798 | + | 0.0382697i | ||||
\(843\) | 1.51916 | + | 46.0048i | 0.0523225 | + | 1.58449i | ||||
\(844\) | 8.48963 | 0.292225 | ||||||||
\(845\) | −5.92123 | − | 33.5810i | −0.203696 | − | 1.15522i | ||||
\(846\) | −5.23766 | + | 5.01969i | −0.180075 | + | 0.172581i | ||||
\(847\) | 9.81117 | − | 16.9934i | 0.337116 | − | 0.583902i | ||||
\(848\) | −0.209556 | + | 0.362961i | −0.00719618 | + | 0.0124641i | ||||
\(849\) | 3.58318 | + | 3.99473i | 0.122974 | + | 0.137099i | ||||
\(850\) | 3.65249 | − | 20.7143i | 0.125280 | − | 0.710496i | ||||
\(851\) | 28.5266 | − | 23.9366i | 0.977879 | − | 0.820538i | ||||
\(852\) | 0.418726 | − | 0.533855i | 0.0143453 | − | 0.0182896i | ||||
\(853\) | −21.1459 | + | 7.69648i | −0.724022 | + | 0.263523i | −0.677632 | − | 0.735401i | \(-0.736994\pi\) |
−0.0463900 | + | 0.998923i | \(0.514772\pi\) | |||||||
\(854\) | 36.0071 | 1.23214 | ||||||||
\(855\) | 26.9760 | − | 34.5838i | 0.922561 | − | 1.18274i | ||||
\(856\) | −9.36329 | −0.320031 | ||||||||
\(857\) | −36.2947 | + | 13.2102i | −1.23980 | + | 0.451251i | −0.876944 | − | 0.480593i | \(-0.840422\pi\) |
−0.362859 | + | 0.931844i | \(0.618199\pi\) | |||||||
\(858\) | −13.1302 | − | 32.6767i | −0.448258 | − | 1.11557i | ||||
\(859\) | −24.2292 | + | 20.3307i | −0.826690 | + | 0.693675i | −0.954528 | − | 0.298120i | \(-0.903640\pi\) |
0.127839 | + | 0.991795i | \(0.459196\pi\) | |||||||
\(860\) | −6.32581 | + | 35.8755i | −0.215708 | + | 1.22334i | ||||
\(861\) | −5.93229 | + | 18.1406i | −0.202172 | + | 0.618229i | ||||
\(862\) | 11.4170 | − | 19.7749i | 0.388865 | − | 0.673534i | ||||
\(863\) | 12.9113 | − | 22.3630i | 0.439505 | − | 0.761244i | −0.558147 | − | 0.829742i | \(-0.688487\pi\) |
0.997651 | + | 0.0684980i | \(0.0218207\pi\) | |||||||
\(864\) | 1.28573 | − | 5.03457i | 0.0437416 | − | 0.171280i | ||||
\(865\) | 11.1837 | + | 63.4257i | 0.380256 | + | 2.15654i | ||||
\(866\) | 22.8546 | 0.776630 | ||||||||
\(867\) | −8.66828 | − | 4.63012i | −0.294390 | − | 0.157247i | ||||
\(868\) | 5.25567 | + | 29.8064i | 0.178389 | + | 1.01169i | ||||
\(869\) | 6.11437 | − | 34.6763i | 0.207416 | − | 1.17631i | ||||
\(870\) | −24.7240 | − | 27.5638i | −0.838222 | − | 0.934499i | ||||
\(871\) | −7.01005 | + | 39.7560i | −0.237526 | + | 1.34708i | ||||
\(872\) | 2.64335 | − | 14.9912i | 0.0895152 | − | 0.507666i | ||||
\(873\) | −11.8520 | + | 0.783603i | −0.401131 | + | 0.0265209i | ||||
\(874\) | −14.1146 | + | 15.8210i | −0.477433 | + | 0.535152i | ||||
\(875\) | −6.00980 | − | 10.4093i | −0.203168 | − | 0.351898i | ||||
\(876\) | −14.0108 | − | 1.99620i | −0.473382 | − | 0.0674455i | ||||
\(877\) | 27.2130 | − | 9.90473i | 0.918919 | − | 0.334459i | 0.161110 | − | 0.986936i | \(-0.448492\pi\) |
0.757808 | + | 0.652477i | \(0.226270\pi\) | |||||||
\(878\) | −9.84032 | + | 8.25701i | −0.332095 | + | 0.278660i | ||||
\(879\) | −6.01624 | − | 14.9724i | −0.202923 | − | 0.505008i | ||||
\(880\) | −13.3141 | − | 4.84595i | −0.448819 | − | 0.163357i | ||||
\(881\) | 1.71677 | + | 2.97353i | 0.0578395 | + | 0.100181i | 0.893495 | − | 0.449072i | \(-0.148246\pi\) |
−0.835656 | + | 0.549253i | \(0.814912\pi\) | |||||||
\(882\) | 2.03377 | + | 3.04001i | 0.0684807 | + | 0.102362i | ||||
\(883\) | 3.64358 | + | 20.6638i | 0.122616 | + | 0.695391i | 0.982695 | + | 0.185230i | \(0.0593030\pi\) |
−0.860079 | + | 0.510161i | \(0.829586\pi\) | |||||||
\(884\) | 12.4086 | − | 10.4121i | 0.417348 | − | 0.350197i | ||||
\(885\) | −20.9507 | + | 13.0362i | −0.704248 | + | 0.438208i | ||||
\(886\) | −14.1904 | −0.476734 | ||||||||
\(887\) | −0.772087 | − | 4.37872i | −0.0259241 | − | 0.147023i | 0.969098 | − | 0.246675i | \(-0.0793381\pi\) |
−0.995022 | + | 0.0996522i | \(0.968227\pi\) | |||||||
\(888\) | −8.18373 | + | 10.4338i | −0.274628 | + | 0.350137i | ||||
\(889\) | −0.0407633 | − | 0.231180i | −0.00136716 | − | 0.00775354i | ||||
\(890\) | −5.93484 | − | 4.97992i | −0.198936 | − | 0.166927i | ||||
\(891\) | −32.0876 | − | 20.3907i | −1.07498 | − | 0.683115i | ||||
\(892\) | 0.136206 | 0.00456051 | ||||||||
\(893\) | −9.28422 | + | 4.99118i | −0.310685 | + | 0.167024i | ||||
\(894\) | −4.35688 | + | 2.71100i | −0.145716 | + | 0.0906694i | ||||
\(895\) | 20.5159 | + | 17.2149i | 0.685770 | + | 0.575429i | ||||
\(896\) | 2.69402 | − | 0.980542i | 0.0900008 | − | 0.0327576i | ||||
\(897\) | 27.0759 | + | 30.1858i | 0.904039 | + | 1.00788i | ||||
\(898\) | 7.04186 | + | 5.90882i | 0.234990 | + | 0.197180i | ||||
\(899\) | 51.5448 | − | 43.2513i | 1.71912 | − | 1.44251i | ||||
\(900\) | −18.7091 | + | 1.23696i | −0.623635 | + | 0.0412319i | ||||
\(901\) | −0.705247 | + | 1.22152i | −0.0234952 | + | 0.0406949i | ||||
\(902\) | 12.4378 | − | 10.4365i | 0.414133 | − | 0.347499i | ||||
\(903\) | −52.7745 | + | 11.1130i | −1.75623 | + | 0.369817i | ||||
\(904\) | −2.94975 | − | 5.10911i | −0.0981072 | − | 0.169927i | ||||
\(905\) | 50.7005 | 1.68534 | ||||||||
\(906\) | 8.95103 | + | 9.97913i | 0.297378 | + | 0.331534i | ||||
\(907\) | −22.2177 | − | 18.6429i | −0.737727 | − | 0.619026i | 0.194499 | − | 0.980903i | \(-0.437692\pi\) |
−0.932226 | + | 0.361876i | \(0.882136\pi\) | |||||||
\(908\) | −19.0658 | − | 6.93937i | −0.632720 | − | 0.230291i | ||||
\(909\) | −1.07910 | − | 0.790285i | −0.0357915 | − | 0.0262121i | ||||
\(910\) | 8.03692 | − | 45.5796i | 0.266421 | − | 1.51095i | ||||
\(911\) | 6.04672 | + | 10.4732i | 0.200337 | + | 0.346993i | 0.948637 | − | 0.316367i | \(-0.102463\pi\) |
−0.748300 | + | 0.663360i | \(0.769130\pi\) | |||||||
\(912\) | 3.75736 | − | 6.54845i | 0.124419 | − | 0.216841i | ||||
\(913\) | −11.0729 | + | 19.1788i | −0.366459 | + | 0.634726i | ||||
\(914\) | 25.8315 | + | 21.6752i | 0.854429 | + | 0.716951i | ||||
\(915\) | −72.2348 | − | 10.2917i | −2.38801 | − | 0.340233i | ||||
\(916\) | −0.875443 | − | 4.96489i | −0.0289255 | − | 0.164044i | ||||
\(917\) | −28.9763 | + | 10.5465i | −0.956883 | + | 0.348277i | ||||
\(918\) | 4.32706 | − | 16.9435i | 0.142814 | − | 0.559220i | ||||
\(919\) | 8.80911 | + | 15.2578i | 0.290586 | + | 0.503309i | 0.973948 | − | 0.226770i | \(-0.0728166\pi\) |
−0.683363 | + | 0.730079i | \(0.739483\pi\) | |||||||
\(920\) | 16.3146 | 0.537875 | ||||||||
\(921\) | −12.8643 | − | 14.3418i | −0.423892 | − | 0.472580i | ||||
\(922\) | −10.4761 | − | 3.81298i | −0.345011 | − | 0.125574i | ||||
\(923\) | −0.942702 | − | 1.63281i | −0.0310294 | − | 0.0537445i | ||||
\(924\) | −0.692291 | − | 20.9648i | −0.0227747 | − | 0.689690i | ||||
\(925\) | 44.9635 | + | 16.3654i | 1.47839 | + | 0.538090i | ||||
\(926\) | 24.1369 | − | 8.78511i | 0.793188 | − | 0.288697i | ||||
\(927\) | 5.16741 | + | 21.0655i | 0.169720 | + | 0.691881i | ||||
\(928\) | −4.88250 | − | 4.09690i | −0.160276 | − | 0.134487i | ||||
\(929\) | −36.9905 | + | 13.4634i | −1.21362 | + | 0.441721i | −0.867957 | − | 0.496639i | \(-0.834567\pi\) |
−0.345660 | + | 0.938360i | \(0.612345\pi\) | |||||||
\(930\) | −2.02414 | − | 61.2975i | −0.0663743 | − | 2.01002i | ||||
\(931\) | 1.66535 | + | 5.04666i | 0.0545798 | + | 0.165398i | ||||
\(932\) | −1.15840 | + | 2.00641i | −0.0379447 | + | 0.0657222i | ||||
\(933\) | 48.6747 | + | 6.93496i | 1.59354 | + | 0.227041i | ||||
\(934\) | −5.54280 | + | 31.4348i | −0.181366 | + | 1.02858i | ||||
\(935\) | −44.8078 | − | 16.3087i | −1.46537 | − | 0.533352i | ||||
\(936\) | −11.6495 | − | 8.53155i | −0.380775 | − | 0.278862i | ||||
\(937\) | −7.40544 | + | 6.21391i | −0.241925 | + | 0.202999i | −0.755686 | − | 0.654934i | \(-0.772696\pi\) |
0.513761 | + | 0.857934i | \(0.328252\pi\) | |||||||
\(938\) | −12.0228 | + | 20.8241i | −0.392559 | + | 0.679932i | ||||
\(939\) | 7.50018 | − | 4.66687i | 0.244759 | − | 0.152298i | ||||
\(940\) | 7.62182 | + | 2.77412i | 0.248596 | + | 0.0904817i | ||||
\(941\) | 29.6613 | + | 10.7958i | 0.966932 | + | 0.351934i | 0.776746 | − | 0.629814i | \(-0.216869\pi\) |
0.190186 | + | 0.981748i | \(0.439091\pi\) | |||||||
\(942\) | −0.394390 | − | 11.9434i | −0.0128499 | − | 0.389136i | ||||
\(943\) | −9.34776 | + | 16.1908i | −0.304405 | + | 0.527245i | ||||
\(944\) | −3.25373 | + | 2.73020i | −0.105900 | + | 0.0888605i | ||||
\(945\) | −21.6476 | − | 45.0328i | −0.704197 | − | 1.46492i | ||||
\(946\) | 43.1129 | + | 15.6918i | 1.40172 | + | 0.510185i | ||||
\(947\) | 3.38620 | − | 19.2041i | 0.110037 | − | 0.624049i | −0.879052 | − | 0.476726i | \(-0.841823\pi\) |
0.989088 | − | 0.147323i | \(-0.0470656\pi\) | |||||||
\(948\) | −5.38297 | − | 13.3964i | −0.174831 | − | 0.435096i | ||||
\(949\) | −19.6637 | + | 34.0586i | −0.638312 | + | 1.10559i | ||||
\(950\) | −26.6733 | − | 5.54203i | −0.865397 | − | 0.179807i | ||||
\(951\) | −26.3007 | − | 14.0484i | −0.852859 | − | 0.455551i | ||||
\(952\) | 9.06655 | − | 3.29995i | 0.293848 | − | 0.106952i | ||||
\(953\) | −27.3488 | − | 22.9484i | −0.885915 | − | 0.743371i | 0.0814714 | − | 0.996676i | \(-0.474038\pi\) |
−0.967387 | + | 0.253305i | \(0.918483\pi\) | |||||||
\(954\) | 1.20730 | + | 0.351151i | 0.0390879 | + | 0.0113689i | ||||
\(955\) | −57.6275 | + | 20.9747i | −1.86478 | + | 0.678726i | ||||
\(956\) | −8.74583 | − | 3.18322i | −0.282860 | − | 0.102953i | ||||
\(957\) | −39.5944 | + | 24.6370i | −1.27991 | + | 0.796402i | ||||
\(958\) | 13.7753 | + | 23.8596i | 0.445061 | + | 0.770868i | ||||
\(959\) | 14.4992 | + | 5.27728i | 0.468204 | + | 0.170412i | ||||
\(960\) | −5.68480 | + | 1.19707i | −0.183476 | + | 0.0386354i | ||||
\(961\) | 80.4515 | 2.59521 | ||||||||
\(962\) | 18.4245 | + | 31.9121i | 0.594029 | + | 1.02889i | ||||
\(963\) | 6.69210 | + | 27.2811i | 0.215650 | + | 0.879120i | ||||
\(964\) | 23.1095 | − | 8.41116i | 0.744306 | − | 0.270905i | ||||
\(965\) | 5.52180 | + | 31.3157i | 0.177753 | + | 1.00809i | ||||
\(966\) | 9.00546 | + | 22.4116i | 0.289746 | + | 0.721081i | ||||
\(967\) | 30.4639 | + | 25.5623i | 0.979654 | + | 0.822027i | 0.984037 | − | 0.177963i | \(-0.0569508\pi\) |
−0.00438340 | + | 0.999990i | \(0.501395\pi\) | |||||||
\(968\) | −3.42221 | + | 5.92744i | −0.109994 | + | 0.190515i | ||||
\(969\) | 12.6452 | − | 22.0384i | 0.406221 | − | 0.707976i | ||||
\(970\) | 6.63995 | + | 11.5007i | 0.213196 | + | 0.369266i | ||||
\(971\) | −5.31301 | + | 30.1316i | −0.170503 | + | 0.966969i | 0.772705 | + | 0.634765i | \(0.218903\pi\) |
−0.943208 | + | 0.332204i | \(0.892208\pi\) | |||||||
\(972\) | −15.5878 | − | 0.147848i | −0.499978 | − | 0.00474224i | ||||
\(973\) | 47.8471 | + | 17.4149i | 1.53391 | + | 0.558296i | ||||
\(974\) | 18.1085 | + | 15.1948i | 0.580233 | + | 0.486873i | ||||
\(975\) | −16.1949 | + | 49.5228i | −0.518651 | + | 1.58600i | ||||
\(976\) | −12.5595 | −0.402021 | ||||||||
\(977\) | −2.01959 | − | 3.49804i | −0.0646125 | − | 0.111912i | 0.831910 | − | 0.554911i | \(-0.187248\pi\) |
−0.896522 | + | 0.442999i | \(0.853914\pi\) | |||||||
\(978\) | 7.46285 | − | 22.8209i | 0.238636 | − | 0.729732i | ||||
\(979\) | −7.47454 | + | 6.27188i | −0.238887 | + | 0.200450i | ||||
\(980\) | 2.04465 | − | 3.54143i | 0.0653138 | − | 0.113127i | ||||
\(981\) | −45.5679 | + | 3.01274i | −1.45487 | + | 0.0961893i | ||||
\(982\) | 4.84376 | − | 4.06440i | 0.154571 | − | 0.129700i | ||||
\(983\) | −8.17951 | − | 6.86343i | −0.260886 | − | 0.218909i | 0.502957 | − | 0.864311i | \(-0.332245\pi\) |
−0.763843 | + | 0.645402i | \(0.776690\pi\) | |||||||
\(984\) | 2.06923 | − | 6.32756i | 0.0659645 | − | 0.201715i | ||||
\(985\) | 3.09864 | − | 1.12781i | 0.0987310 | − | 0.0359351i | ||||
\(986\) | −16.4317 | − | 13.7879i | −0.523293 | − | 0.439095i | ||||
\(987\) | 0.396310 | + | 12.0015i | 0.0126147 | + | 0.382012i | ||||
\(988\) | −12.9922 | − | 16.4731i | −0.413336 | − | 0.524081i | ||||
\(989\) | −52.8287 | −1.67986 | ||||||||
\(990\) | −4.60341 | + | 42.2558i | −0.146306 | + | 1.34298i | ||||
\(991\) | 35.5299 | + | 29.8131i | 1.12864 | + | 0.947045i | 0.999009 | − | 0.0445168i | \(-0.0141748\pi\) |
0.129636 | + | 0.991562i | \(0.458619\pi\) | |||||||
\(992\) | −1.83321 | − | 10.3967i | −0.0582046 | − | 0.330095i | ||||
\(993\) | −10.8187 | − | 1.54141i | −0.343323 | − | 0.0489151i | ||||
\(994\) | −0.195011 | − | 1.10597i | −0.00618539 | − | 0.0350791i | ||||
\(995\) | −32.6918 | −1.03640 | ||||||||
\(996\) | 0.299684 | + | 9.07536i | 0.00949584 | + | 0.287564i | ||||
\(997\) | −2.79215 | + | 2.34289i | −0.0884283 | + | 0.0742002i | −0.685930 | − | 0.727667i | \(-0.740604\pi\) |
0.597502 | + | 0.801867i | \(0.296160\pi\) | |||||||
\(998\) | 0.0400636 | + | 0.227212i | 0.00126819 | + | 0.00719226i | ||||
\(999\) | 36.2493 | + | 16.3870i | 1.14688 | + | 0.518463i |
(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 | 342.2.v.b.283.2 | ✓ | 66 | |
9.7 | even | 3 | 342.2.w.b.169.5 | yes | 66 | ||
19.9 | even | 9 | 342.2.w.b.85.5 | yes | 66 | ||
171.142 | even | 9 | inner | 342.2.v.b.313.2 | yes | 66 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
342.2.v.b.283.2 | ✓ | 66 | 1.1 | even | 1 | trivial | |
342.2.v.b.313.2 | yes | 66 | 171.142 | even | 9 | inner | |
342.2.w.b.85.5 | yes | 66 | 19.9 | even | 9 | ||
342.2.w.b.169.5 | yes | 66 | 9.7 | even | 3 |