Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(83,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.83");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.11 | ||
Character | \(\chi\) | \(=\) | 570.83 |
Dual form | 570.2.v.c.467.11 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | + | 0.965926i | −0.183013 | + | 0.683013i | ||||
\(3\) | 0.00494183 | − | 1.73204i | 0.00285317 | − | 0.999996i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 0.471665 | − | 2.18576i | 0.210935 | − | 0.977500i | ||||
\(6\) | 1.67175 | + | 0.453059i | 0.682488 | + | 0.184961i | ||||
\(7\) | 2.57943 | − | 2.57943i | 0.974934 | − | 0.974934i | −0.0247599 | − | 0.999693i | \(-0.507882\pi\) |
0.999693 | + | 0.0247599i | \(0.00788212\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | −2.99995 | − | 0.0171189i | −0.999984 | − | 0.00570631i | ||||
\(10\) | 1.98920 | + | 1.02131i | 0.629041 | + | 0.322966i | ||||
\(11\) | 1.00285i | 0.302372i | 0.988505 | + | 0.151186i | \(0.0483092\pi\) | ||||
−0.988505 | + | 0.151186i | \(0.951691\pi\) | |||||||
\(12\) | −0.870302 | + | 1.49752i | −0.251234 | + | 0.432298i | ||||
\(13\) | 1.25446 | − | 0.336130i | 0.347923 | − | 0.0932258i | −0.0806252 | − | 0.996744i | \(-0.525692\pi\) |
0.428549 | + | 0.903519i | \(0.359025\pi\) | |||||||
\(14\) | 1.82393 | + | 3.15915i | 0.487467 | + | 0.844317i | ||||
\(15\) | −3.78350 | − | 0.827746i | −0.976894 | − | 0.213723i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −0.999182 | + | 3.72900i | −0.242337 | + | 0.904415i | 0.732366 | + | 0.680911i | \(0.238416\pi\) |
−0.974703 | + | 0.223504i | \(0.928251\pi\) | |||||||
\(18\) | 0.792980 | − | 2.89330i | 0.186907 | − | 0.681957i | ||||
\(19\) | −2.61300 | − | 3.48887i | −0.599463 | − | 0.800403i | ||||
\(20\) | −1.50135 | + | 1.65709i | −0.335713 | + | 0.370536i | ||||
\(21\) | −4.45494 | − | 4.48044i | −0.972148 | − | 0.977711i | ||||
\(22\) | −0.968682 | − | 0.259557i | −0.206524 | − | 0.0553378i | ||||
\(23\) | −1.31024 | − | 4.88989i | −0.273205 | − | 1.01961i | −0.957035 | − | 0.289972i | \(-0.906354\pi\) |
0.683831 | − | 0.729641i | \(-0.260313\pi\) | |||||||
\(24\) | −1.22125 | − | 1.22823i | −0.249286 | − | 0.250712i | ||||
\(25\) | −4.55506 | − | 2.06189i | −0.911013 | − | 0.412378i | ||||
\(26\) | 1.29871i | 0.254698i | ||||||||
\(27\) | −0.0444760 | + | 5.19596i | −0.00855940 | + | 0.999963i | ||||
\(28\) | −3.52357 | + | 0.944138i | −0.665892 | + | 0.178425i | ||||
\(29\) | −1.42329 | + | 2.46521i | −0.264298 | + | 0.457777i | −0.967379 | − | 0.253332i | \(-0.918474\pi\) |
0.703081 | + | 0.711109i | \(0.251807\pi\) | |||||||
\(30\) | 1.77878 | − | 3.44034i | 0.324760 | − | 0.628117i | ||||
\(31\) | 2.15582 | 0.387197 | 0.193598 | − | 0.981081i | \(-0.437984\pi\) | ||||
0.193598 | + | 0.981081i | \(0.437984\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | 1.73699 | + | 0.00495593i | 0.302370 | + | 0.000862716i | ||||
\(34\) | −3.34333 | − | 1.93027i | −0.573376 | − | 0.331039i | ||||
\(35\) | −4.42138 | − | 6.85464i | −0.747350 | − | 1.15865i | ||||
\(36\) | 2.58947 | + | 1.51480i | 0.431579 | + | 0.252467i | ||||
\(37\) | 4.21563 | − | 4.21563i | 0.693045 | − | 0.693045i | −0.269856 | − | 0.962901i | \(-0.586976\pi\) |
0.962901 | + | 0.269856i | \(0.0869761\pi\) | |||||||
\(38\) | 4.04629 | − | 1.62097i | 0.656394 | − | 0.262957i | ||||
\(39\) | −0.575993 | − | 2.17443i | −0.0922328 | − | 0.348188i | ||||
\(40\) | −1.21205 | − | 1.87908i | −0.191641 | − | 0.297109i | ||||
\(41\) | 1.20856 | − | 0.697761i | 0.188745 | − | 0.108972i | −0.402650 | − | 0.915354i | \(-0.631911\pi\) |
0.591395 | + | 0.806382i | \(0.298577\pi\) | |||||||
\(42\) | 5.48079 | − | 3.14352i | 0.845705 | − | 0.485056i | ||||
\(43\) | −1.47295 | + | 5.49714i | −0.224623 | + | 0.838306i | 0.757932 | + | 0.652334i | \(0.226210\pi\) |
−0.982555 | + | 0.185972i | \(0.940457\pi\) | |||||||
\(44\) | 0.501426 | − | 0.868496i | 0.0755929 | − | 0.130931i | ||||
\(45\) | −1.45239 | + | 6.54909i | −0.216509 | + | 0.976281i | ||||
\(46\) | 5.06239 | 0.746409 | ||||||||
\(47\) | 3.53121 | − | 0.946184i | 0.515079 | − | 0.138015i | 0.00808979 | − | 0.999967i | \(-0.497425\pi\) |
0.506990 | + | 0.861952i | \(0.330758\pi\) | |||||||
\(48\) | 1.50246 | − | 0.861742i | 0.216862 | − | 0.124382i | ||||
\(49\) | − | 6.30694i | − | 0.900991i | ||||||
\(50\) | 3.17057 | − | 3.86620i | 0.448386 | − | 0.546763i | ||||
\(51\) | 6.45385 | + | 1.74906i | 0.903720 | + | 0.244917i | ||||
\(52\) | −1.25446 | − | 0.336130i | −0.173962 | − | 0.0466129i | ||||
\(53\) | −0.861275 | − | 3.21432i | −0.118305 | − | 0.441521i | 0.881208 | − | 0.472729i | \(-0.156731\pi\) |
−0.999513 | + | 0.0312082i | \(0.990065\pi\) | |||||||
\(54\) | −5.00740 | − | 1.38777i | −0.681421 | − | 0.188852i | ||||
\(55\) | 2.19199 | + | 0.473011i | 0.295568 | + | 0.0637807i | ||||
\(56\) | − | 3.64787i | − | 0.487467i | ||||||
\(57\) | −6.05580 | + | 4.50858i | −0.802110 | + | 0.597177i | ||||
\(58\) | −2.01283 | − | 2.01283i | −0.264298 | − | 0.264298i | ||||
\(59\) | −6.47590 | − | 11.2166i | −0.843090 | − | 1.46028i | −0.887269 | − | 0.461252i | \(-0.847401\pi\) |
0.0441790 | − | 0.999024i | \(-0.485933\pi\) | |||||||
\(60\) | 2.86273 | + | 2.60860i | 0.369577 | + | 0.336768i | ||||
\(61\) | 0.457987 | − | 0.793257i | 0.0586393 | − | 0.101566i | −0.835216 | − | 0.549923i | \(-0.814657\pi\) |
0.893855 | + | 0.448357i | \(0.147990\pi\) | |||||||
\(62\) | −0.557968 | + | 2.08236i | −0.0708620 | + | 0.264460i | ||||
\(63\) | −7.78233 | + | 7.69401i | −0.980481 | + | 0.969354i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −0.143016 | − | 2.90048i | −0.0177390 | − | 0.359760i | ||||
\(66\) | −0.454352 | + | 1.67652i | −0.0559269 | + | 0.206365i | ||||
\(67\) | 3.98451 | + | 14.8704i | 0.486785 | + | 1.81671i | 0.571885 | + | 0.820334i | \(0.306212\pi\) |
−0.0850998 | + | 0.996372i | \(0.527121\pi\) | |||||||
\(68\) | 2.72982 | − | 2.72982i | 0.331039 | − | 0.331039i | ||||
\(69\) | −8.47598 | + | 2.24523i | −1.02039 | + | 0.270294i | ||||
\(70\) | 7.76541 | − | 2.49662i | 0.928144 | − | 0.298403i | ||||
\(71\) | 11.0688 | − | 6.39060i | 1.31363 | − | 0.758425i | 0.330935 | − | 0.943654i | \(-0.392636\pi\) |
0.982695 | + | 0.185229i | \(0.0593027\pi\) | |||||||
\(72\) | −2.13339 | + | 2.10918i | −0.251423 | + | 0.248569i | ||||
\(73\) | −0.0635858 | + | 0.237305i | −0.00744216 | + | 0.0277745i | −0.969547 | − | 0.244905i | \(-0.921243\pi\) |
0.962105 | + | 0.272680i | \(0.0879099\pi\) | |||||||
\(74\) | 2.98090 | + | 5.16307i | 0.346522 | + | 0.600194i | ||||
\(75\) | −3.59379 | + | 7.87938i | −0.414976 | + | 0.909833i | ||||
\(76\) | 0.518485 | + | 4.32795i | 0.0594743 | + | 0.496450i | ||||
\(77\) | 2.58679 | + | 2.58679i | 0.294792 | + | 0.294792i | ||||
\(78\) | 2.24942 | + | 0.00641799i | 0.254697 | + | 0.000726695i | ||||
\(79\) | 12.7804 | − | 7.37876i | 1.43791 | − | 0.830176i | 0.440203 | − | 0.897899i | \(-0.354907\pi\) |
0.997704 | + | 0.0677227i | \(0.0215733\pi\) | |||||||
\(80\) | 2.12875 | − | 0.684404i | 0.238002 | − | 0.0765187i | ||||
\(81\) | 8.99941 | + | 0.102712i | 0.999935 | + | 0.0114124i | ||||
\(82\) | 0.361188 | + | 1.34797i | 0.0398865 | + | 0.148859i | ||||
\(83\) | −5.85272 | + | 5.85272i | −0.642420 | + | 0.642420i | −0.951150 | − | 0.308730i | \(-0.900096\pi\) |
0.308730 | + | 0.951150i | \(0.400096\pi\) | |||||||
\(84\) | 1.61787 | + | 6.10764i | 0.176525 | + | 0.666398i | ||||
\(85\) | 7.67940 | + | 3.94281i | 0.832948 | + | 0.427657i | ||||
\(86\) | −4.92860 | − | 2.84553i | −0.531465 | − | 0.306841i | ||||
\(87\) | 4.26281 | + | 2.47738i | 0.457022 | + | 0.265603i | ||||
\(88\) | 0.709124 | + | 0.709124i | 0.0755929 | + | 0.0755929i | ||||
\(89\) | −5.12512 | + | 8.87697i | −0.543262 | + | 0.940957i | 0.455452 | + | 0.890260i | \(0.349478\pi\) |
−0.998714 | + | 0.0506968i | \(0.983856\pi\) | |||||||
\(90\) | −5.95003 | − | 3.09793i | −0.627188 | − | 0.326550i | ||||
\(91\) | 2.36876 | − | 4.10281i | 0.248313 | − | 0.430091i | ||||
\(92\) | −1.31024 | + | 4.88989i | −0.136602 | + | 0.509807i | ||||
\(93\) | 0.0106537 | − | 3.73398i | 0.00110474 | − | 0.387195i | ||||
\(94\) | 3.65577i | 0.377064i | ||||||||
\(95\) | −8.85829 | + | 4.06580i | −0.908841 | + | 0.417142i | ||||
\(96\) | 0.443512 | + | 1.67430i | 0.0452658 | + | 0.170883i | ||||
\(97\) | −8.47766 | − | 2.27158i | −0.860776 | − | 0.230644i | −0.198681 | − | 0.980064i | \(-0.563666\pi\) |
−0.662095 | + | 0.749420i | \(0.730332\pi\) | |||||||
\(98\) | 6.09203 | + | 1.63236i | 0.615388 | + | 0.164893i | ||||
\(99\) | 0.0171678 | − | 3.00851i | 0.00172542 | − | 0.302367i | ||||
\(100\) | 2.91386 | + | 4.06318i | 0.291386 | + | 0.406318i | ||||
\(101\) | −10.9276 | − | 6.30906i | −1.08734 | − | 0.627775i | −0.154472 | − | 0.987997i | \(-0.549368\pi\) |
−0.932867 | + | 0.360222i | \(0.882701\pi\) | |||||||
\(102\) | −3.35984 | + | 5.78125i | −0.332673 | + | 0.572429i | ||||
\(103\) | 11.4510 | + | 11.4510i | 1.12830 | + | 1.12830i | 0.990453 | + | 0.137848i | \(0.0440184\pi\) |
0.137848 | + | 0.990453i | \(0.455982\pi\) | |||||||
\(104\) | 0.649354 | − | 1.12471i | 0.0636744 | − | 0.110287i | ||||
\(105\) | −11.8944 | + | 7.62415i | −1.16077 | + | 0.744041i | ||||
\(106\) | 3.32771 | 0.323216 | ||||||||
\(107\) | 9.01561 | + | 9.01561i | 0.871572 | + | 0.871572i | 0.992644 | − | 0.121072i | \(-0.0386332\pi\) |
−0.121072 | + | 0.992644i | \(0.538633\pi\) | |||||||
\(108\) | 2.63650 | − | 4.47760i | 0.253697 | − | 0.430857i | ||||
\(109\) | 5.66247 | − | 3.26923i | 0.542367 | − | 0.313135i | −0.203671 | − | 0.979039i | \(-0.565287\pi\) |
0.746038 | + | 0.665904i | \(0.231954\pi\) | |||||||
\(110\) | −1.02422 | + | 1.99488i | −0.0976558 | + | 0.190204i | ||||
\(111\) | −7.28082 | − | 7.32248i | −0.691065 | − | 0.695019i | ||||
\(112\) | 3.52357 | + | 0.944138i | 0.332946 | + | 0.0892126i | ||||
\(113\) | 3.94478 | − | 3.94478i | 0.371094 | − | 0.371094i | −0.496782 | − | 0.867876i | \(-0.665485\pi\) |
0.867876 | + | 0.496782i | \(0.165485\pi\) | |||||||
\(114\) | −2.78760 | − | 7.01636i | −0.261083 | − | 0.657142i | ||||
\(115\) | −11.3061 | + | 0.557481i | −1.05430 | + | 0.0519854i | ||||
\(116\) | 2.46521 | − | 1.42329i | 0.228889 | − | 0.132149i | ||||
\(117\) | −3.76906 | + | 0.986900i | −0.348450 | + | 0.0912389i | ||||
\(118\) | 12.5105 | − | 3.35217i | 1.15168 | − | 0.308592i | ||||
\(119\) | 7.04138 | + | 12.1960i | 0.645482 | + | 1.11801i | ||||
\(120\) | −3.26064 | + | 2.09003i | −0.297654 | + | 0.190793i | ||||
\(121\) | 9.99429 | 0.908571 | ||||||||
\(122\) | 0.647692 | + | 0.647692i | 0.0586393 | + | 0.0586393i | ||||
\(123\) | −1.20258 | − | 2.09672i | −0.108433 | − | 0.189055i | ||||
\(124\) | −1.86700 | − | 1.07791i | −0.167661 | − | 0.0967992i | ||||
\(125\) | −6.65525 | + | 8.98374i | −0.595264 | + | 0.803530i | ||||
\(126\) | −5.41763 | − | 9.50851i | −0.482641 | − | 0.847085i | ||||
\(127\) | −2.39744 | − | 8.94739i | −0.212739 | − | 0.793952i | −0.986950 | − | 0.161025i | \(-0.948520\pi\) |
0.774212 | − | 0.632927i | \(-0.218147\pi\) | |||||||
\(128\) | 0.965926 | + | 0.258819i | 0.0853766 | + | 0.0228766i | ||||
\(129\) | 9.51401 | + | 2.57839i | 0.837662 | + | 0.227014i | ||||
\(130\) | 2.83866 | + | 0.612555i | 0.248967 | + | 0.0537246i | ||||
\(131\) | 4.22773 | − | 2.44088i | 0.369378 | − | 0.213261i | −0.303808 | − | 0.952733i | \(-0.598258\pi\) |
0.673187 | + | 0.739472i | \(0.264925\pi\) | |||||||
\(132\) | −1.50180 | − | 0.872785i | −0.130715 | − | 0.0759661i | ||||
\(133\) | −15.7394 | − | 2.25926i | −1.36478 | − | 0.195903i | ||||
\(134\) | −15.3950 | −1.32992 | ||||||||
\(135\) | 11.3361 | + | 2.54797i | 0.975659 | + | 0.219294i | ||||
\(136\) | 1.93027 | + | 3.34333i | 0.165519 | + | 0.286688i | ||||
\(137\) | −9.43419 | + | 2.52788i | −0.806017 | + | 0.215972i | −0.638224 | − | 0.769851i | \(-0.720331\pi\) |
−0.167793 | + | 0.985822i | \(0.553664\pi\) | |||||||
\(138\) | 0.0250175 | − | 8.76828i | 0.00212963 | − | 0.746406i | ||||
\(139\) | 10.3794 | + | 5.99254i | 0.880368 | + | 0.508281i | 0.870780 | − | 0.491673i | \(-0.163615\pi\) |
0.00958808 | + | 0.999954i | \(0.496948\pi\) | |||||||
\(140\) | 0.401711 | + | 8.14698i | 0.0339508 | + | 0.688546i | ||||
\(141\) | −1.62138 | − | 6.12088i | −0.136545 | − | 0.515471i | ||||
\(142\) | 3.30802 | + | 12.3457i | 0.277603 | + | 1.03603i | ||||
\(143\) | 0.337089 | + | 1.25803i | 0.0281888 | + | 0.105202i | ||||
\(144\) | −1.48515 | − | 2.60659i | −0.123763 | − | 0.217216i | ||||
\(145\) | 4.71703 | + | 4.27371i | 0.391728 | + | 0.354913i | ||||
\(146\) | −0.212762 | − | 0.122838i | −0.0176083 | − | 0.0101662i | ||||
\(147\) | −10.9239 | − | 0.0311678i | −0.900987 | − | 0.00257068i | ||||
\(148\) | −5.75865 | + | 1.54303i | −0.473358 | + | 0.126836i | ||||
\(149\) | −8.24387 | − | 14.2788i | −0.675364 | − | 1.16976i | −0.976362 | − | 0.216140i | \(-0.930653\pi\) |
0.300998 | − | 0.953625i | \(-0.402680\pi\) | |||||||
\(150\) | −6.68076 | − | 5.51067i | −0.545481 | − | 0.449944i | ||||
\(151\) | −3.94609 | −0.321128 | −0.160564 | − | 0.987025i | \(-0.551331\pi\) | ||||
−0.160564 | + | 0.987025i | \(0.551331\pi\) | |||||||
\(152\) | −4.31467 | − | 0.619338i | −0.349966 | − | 0.0502350i | ||||
\(153\) | 3.06133 | − | 11.1697i | 0.247494 | − | 0.903018i | ||||
\(154\) | −3.16816 | + | 1.82914i | −0.255297 | + | 0.147396i | ||||
\(155\) | 1.01683 | − | 4.71210i | 0.0816734 | − | 0.378485i | ||||
\(156\) | −0.588392 | + | 2.17111i | −0.0471091 | + | 0.173828i | ||||
\(157\) | −3.47060 | − | 0.929945i | −0.276984 | − | 0.0742177i | 0.117653 | − | 0.993055i | \(-0.462463\pi\) |
−0.394637 | + | 0.918837i | \(0.629130\pi\) | |||||||
\(158\) | 3.81953 | + | 14.2547i | 0.303865 | + | 1.13404i | ||||
\(159\) | −5.57160 | + | 1.47588i | −0.441857 | + | 0.117045i | ||||
\(160\) | 0.110122 | + | 2.23335i | 0.00870592 | + | 0.176562i | ||||
\(161\) | −15.9928 | − | 9.23346i | −1.26041 | − | 0.727699i | ||||
\(162\) | −2.42843 | + | 8.66618i | −0.190796 | + | 0.680880i | ||||
\(163\) | 16.2576 | + | 16.2576i | 1.27339 | + | 1.27339i | 0.944297 | + | 0.329094i | \(0.106743\pi\) |
0.329094 | + | 0.944297i | \(0.393257\pi\) | |||||||
\(164\) | −1.39552 | −0.108972 | ||||||||
\(165\) | 0.830107 | − | 3.79429i | 0.0646238 | − | 0.295385i | ||||
\(166\) | −4.13850 | − | 7.16809i | −0.321210 | − | 0.556352i | ||||
\(167\) | 18.5062 | − | 4.95873i | 1.43205 | − | 0.383718i | 0.542310 | − | 0.840178i | \(-0.317550\pi\) |
0.889744 | + | 0.456460i | \(0.150883\pi\) | |||||||
\(168\) | −6.31827 | − | 0.0180271i | −0.487465 | − | 0.00139082i | ||||
\(169\) | −9.79765 | + | 5.65668i | −0.753666 | + | 0.435129i | ||||
\(170\) | −5.79604 | + | 6.39726i | −0.444536 | + | 0.490648i | ||||
\(171\) | 7.77914 | + | 10.5112i | 0.594886 | + | 0.803810i | ||||
\(172\) | 4.02419 | − | 4.02419i | 0.306841 | − | 0.306841i | ||||
\(173\) | 12.3800 | + | 3.31722i | 0.941236 | + | 0.252203i | 0.696639 | − | 0.717422i | \(-0.254678\pi\) |
0.244596 | + | 0.969625i | \(0.421345\pi\) | |||||||
\(174\) | −3.49626 | + | 3.47637i | −0.265051 | + | 0.263543i | ||||
\(175\) | −17.0680 | + | 6.43097i | −1.29022 | + | 0.486136i | ||||
\(176\) | −0.868496 | + | 0.501426i | −0.0654654 | + | 0.0377964i | ||||
\(177\) | −19.4596 | + | 11.1611i | −1.46267 | + | 0.838921i | ||||
\(178\) | −7.24802 | − | 7.24802i | −0.543262 | − | 0.543262i | ||||
\(179\) | 24.5931 | 1.83818 | 0.919088 | − | 0.394053i | \(-0.128927\pi\) | ||||
0.919088 | + | 0.394053i | \(0.128927\pi\) | |||||||
\(180\) | 4.53235 | − | 4.94548i | 0.337821 | − | 0.368615i | ||||
\(181\) | −10.7455 | + | 18.6118i | −0.798709 | + | 1.38340i | 0.121749 | + | 0.992561i | \(0.461150\pi\) |
−0.920457 | + | 0.390843i | \(0.872184\pi\) | |||||||
\(182\) | 3.34993 | + | 3.34993i | 0.248313 | + | 0.248313i | ||||
\(183\) | −1.37169 | − | 0.797174i | −0.101398 | − | 0.0589288i | ||||
\(184\) | −4.38416 | − | 2.53119i | −0.323204 | − | 0.186602i | ||||
\(185\) | −7.22597 | − | 11.2027i | −0.531264 | − | 0.823639i | ||||
\(186\) | 3.60399 | + | 0.976715i | 0.264257 | + | 0.0716162i | ||||
\(187\) | −3.73964 | − | 1.00203i | −0.273469 | − | 0.0732759i | ||||
\(188\) | −3.53121 | − | 0.946184i | −0.257540 | − | 0.0690076i | ||||
\(189\) | 13.2879 | + | 13.5174i | 0.966553 | + | 0.983243i | ||||
\(190\) | −1.63456 | − | 9.60876i | −0.118584 | − | 0.697092i | ||||
\(191\) | 12.4070i | 0.897742i | 0.893597 | + | 0.448871i | \(0.148174\pi\) | ||||
−0.893597 | + | 0.448871i | \(0.851826\pi\) | |||||||
\(192\) | −1.73204 | − | 0.00494183i | −0.124999 | − | 0.000356646i | ||||
\(193\) | −0.0648413 | + | 0.241991i | −0.00466738 | + | 0.0174189i | −0.968220 | − | 0.250099i | \(-0.919537\pi\) |
0.963553 | + | 0.267518i | \(0.0862035\pi\) | |||||||
\(194\) | 4.38836 | − | 7.60086i | 0.315066 | − | 0.545710i | ||||
\(195\) | −5.02446 | + | 0.233377i | −0.359809 | + | 0.0167125i | ||||
\(196\) | −3.15347 | + | 5.46197i | −0.225248 | + | 0.390140i | ||||
\(197\) | −2.94005 | − | 2.94005i | −0.209470 | − | 0.209470i | 0.594572 | − | 0.804042i | \(-0.297321\pi\) |
−0.804042 | + | 0.594572i | \(0.797321\pi\) | |||||||
\(198\) | 2.90155 | + | 0.795242i | 0.206204 | + | 0.0565154i | ||||
\(199\) | 16.1446 | + | 9.32111i | 1.14446 | + | 0.660756i | 0.947532 | − | 0.319662i | \(-0.103569\pi\) |
0.196931 | + | 0.980417i | \(0.436903\pi\) | |||||||
\(200\) | −4.67889 | + | 1.76294i | −0.330848 | + | 0.124659i | ||||
\(201\) | 25.7758 | − | 6.82785i | 1.81809 | − | 0.481600i | ||||
\(202\) | 8.92236 | − | 8.92236i | 0.627775 | − | 0.627775i | ||||
\(203\) | 2.68756 | + | 10.0301i | 0.188630 | + | 0.703976i | ||||
\(204\) | −4.71467 | − | 4.74165i | −0.330093 | − | 0.331982i | ||||
\(205\) | −0.955102 | − | 2.97072i | −0.0667072 | − | 0.207484i | ||||
\(206\) | −14.0246 | + | 8.09708i | −0.977137 | + | 0.564151i | ||||
\(207\) | 3.84695 | + | 14.6919i | 0.267382 | + | 1.02116i | ||||
\(208\) | 0.918326 | + | 0.918326i | 0.0636744 | + | 0.0636744i | ||||
\(209\) | 3.49883 | − | 2.62045i | 0.242019 | − | 0.181260i | ||||
\(210\) | −4.28587 | − | 13.4624i | −0.295753 | − | 0.928992i | ||||
\(211\) | −11.0642 | − | 19.1638i | −0.761694 | − | 1.31929i | −0.941977 | − | 0.335678i | \(-0.891035\pi\) |
0.180283 | − | 0.983615i | \(-0.442299\pi\) | |||||||
\(212\) | −0.861275 | + | 3.21432i | −0.0591526 | + | 0.220761i | ||||
\(213\) | −11.0141 | − | 19.2033i | −0.754674 | − | 1.31579i | ||||
\(214\) | −11.0418 | + | 6.37500i | −0.754803 | + | 0.435786i | ||||
\(215\) | 11.3207 | + | 5.81233i | 0.772063 | + | 0.396398i | ||||
\(216\) | 3.64265 | + | 3.70555i | 0.247851 | + | 0.252131i | ||||
\(217\) | 5.56079 | − | 5.56079i | 0.377491 | − | 0.377491i | ||||
\(218\) | 1.69228 | + | 6.31567i | 0.114616 | + | 0.427751i | ||||
\(219\) | 0.410709 | + | 0.111306i | 0.0277532 | + | 0.00752137i | ||||
\(220\) | −1.66182 | − | 1.50564i | −0.112040 | − | 0.101510i | ||||
\(221\) | 5.01372i | 0.337259i | ||||||||
\(222\) | 8.95739 | − | 5.13753i | 0.601181 | − | 0.344809i | ||||
\(223\) | −2.40370 | + | 8.97075i | −0.160964 | + | 0.600726i | 0.837557 | + | 0.546350i | \(0.183983\pi\) |
−0.998521 | + | 0.0543751i | \(0.982683\pi\) | |||||||
\(224\) | −1.82393 | + | 3.15915i | −0.121867 | + | 0.211079i | ||||
\(225\) | 13.6297 | + | 6.26355i | 0.908645 | + | 0.417570i | ||||
\(226\) | 2.78938 | + | 4.83135i | 0.185547 | + | 0.321377i | ||||
\(227\) | −15.8077 | − | 15.8077i | −1.04919 | − | 1.04919i | −0.998726 | − | 0.0504691i | \(-0.983928\pi\) |
−0.0504691 | − | 0.998726i | \(-0.516072\pi\) | |||||||
\(228\) | 7.49877 | − | 0.876651i | 0.496618 | − | 0.0580576i | ||||
\(229\) | − | 1.27444i | − | 0.0842172i | −0.999113 | − | 0.0421086i | \(-0.986592\pi\) | ||
0.999113 | − | 0.0421086i | \(-0.0134076\pi\) | |||||||
\(230\) | 2.38775 | − | 11.0652i | 0.157444 | − | 0.729615i | ||||
\(231\) | 4.49322 | − | 4.46765i | 0.295632 | − | 0.293950i | ||||
\(232\) | 0.736748 | + | 2.74958i | 0.0483699 | + | 0.180519i | ||||
\(233\) | 24.8525 | + | 6.65921i | 1.62814 | + | 0.436259i | 0.953379 | − | 0.301775i | \(-0.0975792\pi\) |
0.674763 | + | 0.738035i | \(0.264246\pi\) | |||||||
\(234\) | 0.0222325 | − | 3.89606i | 0.00145338 | − | 0.254694i | ||||
\(235\) | −0.402581 | − | 8.16464i | −0.0262615 | − | 0.532602i | ||||
\(236\) | 12.9518i | 0.843090i | ||||||||
\(237\) | −12.7172 | − | 22.1727i | −0.826070 | − | 1.44027i | ||||
\(238\) | −13.6029 | + | 3.64488i | −0.881745 | + | 0.236263i | ||||
\(239\) | −3.71907 | −0.240567 | −0.120283 | − | 0.992740i | \(-0.538380\pi\) | ||||
−0.120283 | + | 0.992740i | \(0.538380\pi\) | |||||||
\(240\) | −1.17490 | − | 3.69048i | −0.0758394 | − | 0.238219i | ||||
\(241\) | 8.19712 | − | 14.1978i | 0.528023 | − | 0.914563i | −0.471443 | − | 0.881896i | \(-0.656267\pi\) |
0.999466 | − | 0.0326664i | \(-0.0103999\pi\) | |||||||
\(242\) | −2.58671 | + | 9.65374i | −0.166280 | + | 0.620566i | ||||
\(243\) | 0.222375 | − | 15.5869i | 0.0142654 | − | 0.999898i | ||||
\(244\) | −0.793257 | + | 0.457987i | −0.0507831 | + | 0.0293196i | ||||
\(245\) | −13.7854 | − | 2.97476i | −0.880719 | − | 0.190050i | ||||
\(246\) | 2.33653 | − | 0.618932i | 0.148972 | − | 0.0394617i | ||||
\(247\) | −4.45061 | − | 3.49833i | −0.283185 | − | 0.222593i | ||||
\(248\) | 1.52440 | − | 1.52440i | 0.0967992 | − | 0.0967992i | ||||
\(249\) | 10.1083 | + | 10.1661i | 0.640584 | + | 0.644250i | ||||
\(250\) | −6.95512 | − | 8.75364i | −0.439880 | − | 0.553629i | ||||
\(251\) | −7.80948 | − | 4.50881i | −0.492930 | − | 0.284593i | 0.232859 | − | 0.972510i | \(-0.425192\pi\) |
−0.725789 | + | 0.687917i | \(0.758525\pi\) | |||||||
\(252\) | 10.5867 | − | 2.77205i | 0.666899 | − | 0.174623i | ||||
\(253\) | 4.90384 | − | 1.31398i | 0.308302 | − | 0.0826093i | ||||
\(254\) | 9.26301 | 0.581213 | ||||||||
\(255\) | 6.86707 | − | 13.2816i | 0.430032 | − | 0.831725i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 20.8542 | − | 5.58788i | 1.30085 | − | 0.348562i | 0.459080 | − | 0.888395i | \(-0.348179\pi\) |
0.841772 | + | 0.539833i | \(0.181513\pi\) | |||||||
\(258\) | −4.95294 | + | 8.52249i | −0.308356 | + | 0.530587i | ||||
\(259\) | − | 21.7478i | − | 1.35135i | ||||||
\(260\) | −1.32638 | + | 2.58339i | −0.0822587 | + | 0.160215i | ||||
\(261\) | 4.31200 | − | 7.37114i | 0.266906 | − | 0.456262i | ||||
\(262\) | 1.26349 | + | 4.71542i | 0.0780588 | + | 0.291320i | ||||
\(263\) | 18.2420 | + | 4.88792i | 1.12485 | + | 0.301402i | 0.772844 | − | 0.634596i | \(-0.218834\pi\) |
0.352004 | + | 0.935998i | \(0.385500\pi\) | |||||||
\(264\) | 1.23174 | − | 1.22473i | 0.0758083 | − | 0.0753769i | ||||
\(265\) | −7.43196 | + | 0.366455i | −0.456542 | + | 0.0225111i | ||||
\(266\) | 6.25593 | − | 14.6183i | 0.383576 | − | 0.896306i | ||||
\(267\) | 15.3500 | + | 8.92080i | 0.939403 | + | 0.545944i | ||||
\(268\) | 3.98451 | − | 14.8704i | 0.243393 | − | 0.908353i | ||||
\(269\) | −0.915939 | − | 1.58645i | −0.0558458 | − | 0.0967278i | 0.836751 | − | 0.547584i | \(-0.184452\pi\) |
−0.892597 | + | 0.450856i | \(0.851119\pi\) | |||||||
\(270\) | −5.39515 | + | 10.2904i | −0.328339 | + | 0.626254i | ||||
\(271\) | −15.8789 | − | 27.5030i | −0.964572 | − | 1.67069i | −0.710762 | − | 0.703433i | \(-0.751650\pi\) |
−0.253810 | − | 0.967254i | \(-0.581684\pi\) | |||||||
\(272\) | −3.72900 | + | 0.999182i | −0.226104 | + | 0.0605843i | ||||
\(273\) | −7.09454 | − | 4.12307i | −0.429381 | − | 0.249539i | ||||
\(274\) | − | 9.76699i | − | 0.590045i | ||||||
\(275\) | 2.06777 | − | 4.56806i | 0.124691 | − | 0.275464i | ||||
\(276\) | 8.46303 | + | 2.29356i | 0.509415 | + | 0.138056i | ||||
\(277\) | 2.50877 | − | 2.50877i | 0.150737 | − | 0.150737i | −0.627710 | − | 0.778447i | \(-0.716008\pi\) |
0.778447 | + | 0.627710i | \(0.216008\pi\) | |||||||
\(278\) | −8.47473 | + | 8.47473i | −0.508281 | + | 0.508281i | ||||
\(279\) | −6.46736 | − | 0.0369053i | −0.387191 | − | 0.00220946i | ||||
\(280\) | −7.97335 | − | 1.72057i | −0.476499 | − | 0.102824i | ||||
\(281\) | −4.56311 | − | 2.63451i | −0.272212 | − | 0.157162i | 0.357680 | − | 0.933844i | \(-0.383568\pi\) |
−0.629893 | + | 0.776682i | \(0.716901\pi\) | |||||||
\(282\) | 6.33196 | + | 0.0180662i | 0.377063 | + | 0.00107583i | ||||
\(283\) | −0.830817 | + | 3.10065i | −0.0493869 | + | 0.184315i | −0.986213 | − | 0.165481i | \(-0.947082\pi\) |
0.936826 | + | 0.349796i | \(0.113749\pi\) | |||||||
\(284\) | −12.7812 | −0.758425 | ||||||||
\(285\) | 6.99836 | + | 15.3630i | 0.414547 | + | 0.910028i | ||||
\(286\) | −1.30241 | −0.0770133 | ||||||||
\(287\) | 1.31757 | − | 4.91722i | 0.0777734 | − | 0.290254i | ||||
\(288\) | 2.90216 | − | 0.759909i | 0.171011 | − | 0.0447781i | ||||
\(289\) | 1.81536 | + | 1.04810i | 0.106786 | + | 0.0616530i | ||||
\(290\) | −5.34895 | + | 3.45018i | −0.314101 | + | 0.202602i | ||||
\(291\) | −3.97637 | + | 14.6724i | −0.233099 | + | 0.860114i | ||||
\(292\) | 0.173720 | − | 0.173720i | 0.0101662 | − | 0.0101662i | ||||
\(293\) | 0.745568 | − | 0.745568i | 0.0435566 | − | 0.0435566i | −0.684993 | − | 0.728550i | \(-0.740195\pi\) |
0.728550 | + | 0.684993i | \(0.240195\pi\) | |||||||
\(294\) | 2.85742 | − | 10.5436i | 0.166648 | − | 0.614915i | ||||
\(295\) | −27.5712 | + | 8.86427i | −1.60526 | + | 0.516098i | ||||
\(296\) | − | 5.96180i | − | 0.346522i | ||||||
\(297\) | −5.21079 | − | 0.0446028i | −0.302360 | − | 0.00258812i | ||||
\(298\) | 15.9259 | − | 4.26734i | 0.922564 | − | 0.247200i | ||||
\(299\) | −3.28728 | − | 5.69374i | −0.190109 | − | 0.329278i | ||||
\(300\) | 7.05201 | − | 5.02685i | 0.407148 | − | 0.290225i | ||||
\(301\) | 10.3801 | + | 17.9789i | 0.598300 | + | 1.03629i | ||||
\(302\) | 1.02132 | − | 3.81163i | 0.0587706 | − | 0.219335i | ||||
\(303\) | −10.9816 | + | 18.8959i | −0.630875 | + | 1.08554i | ||||
\(304\) | 1.71496 | − | 4.00736i | 0.0983594 | − | 0.229838i | ||||
\(305\) | −1.51785 | − | 1.37520i | −0.0869119 | − | 0.0787438i | ||||
\(306\) | 9.99678 | + | 5.84796i | 0.571478 | + | 0.334305i | ||||
\(307\) | −7.67912 | − | 2.05761i | −0.438271 | − | 0.117434i | 0.0329353 | − | 0.999457i | \(-0.489514\pi\) |
−0.471206 | + | 0.882023i | \(0.656181\pi\) | |||||||
\(308\) | −0.946831 | − | 3.53362i | −0.0539507 | − | 0.201347i | ||||
\(309\) | 19.8902 | − | 19.7771i | 1.13152 | − | 1.12508i | ||||
\(310\) | 4.28837 | + | 2.20176i | 0.243563 | + | 0.125052i | ||||
\(311\) | − | 16.5280i | − | 0.937218i | −0.883406 | − | 0.468609i | \(-0.844755\pi\) | ||
0.883406 | − | 0.468609i | \(-0.155245\pi\) | |||||||
\(312\) | −1.94485 | − | 1.13027i | −0.110105 | − | 0.0639888i | ||||
\(313\) | 8.48763 | − | 2.27425i | 0.479749 | − | 0.128548i | −0.0108367 | − | 0.999941i | \(-0.503449\pi\) |
0.490586 | + | 0.871393i | \(0.336783\pi\) | |||||||
\(314\) | 1.79652 | − | 3.11166i | 0.101383 | − | 0.175601i | ||||
\(315\) | 13.1466 | + | 20.6393i | 0.740726 | + | 1.16289i | ||||
\(316\) | −14.7575 | −0.830176 | ||||||||
\(317\) | 17.9486 | − | 4.80932i | 1.00810 | − | 0.270118i | 0.283262 | − | 0.959043i | \(-0.408583\pi\) |
0.724833 | + | 0.688924i | \(0.241917\pi\) | |||||||
\(318\) | 0.0164450 | − | 5.76374i | 0.000922188 | − | 0.323215i | ||||
\(319\) | −2.47224 | − | 1.42735i | −0.138419 | − | 0.0799162i | ||||
\(320\) | −2.18576 | − | 0.471665i | −0.122188 | − | 0.0263669i | ||||
\(321\) | 15.6600 | − | 15.5709i | 0.874055 | − | 0.869081i | ||||
\(322\) | 13.0581 | − | 13.0581i | 0.727699 | − | 0.727699i | ||||
\(323\) | 15.6209 | − | 6.25784i | 0.869168 | − | 0.348196i | ||||
\(324\) | −7.74237 | − | 4.58866i | −0.430131 | − | 0.254925i | ||||
\(325\) | −6.40719 | − | 1.05545i | −0.355407 | − | 0.0585460i | ||||
\(326\) | −19.9114 | + | 11.4958i | −1.10279 | + | 0.636696i | ||||
\(327\) | −5.63447 | − | 9.82381i | −0.311587 | − | 0.543258i | ||||
\(328\) | 0.361188 | − | 1.34797i | 0.0199433 | − | 0.0744293i | ||||
\(329\) | 6.66789 | − | 11.5491i | 0.367613 | − | 0.636724i | ||||
\(330\) | 3.45015 | + | 1.78386i | 0.189925 | + | 0.0981981i | ||||
\(331\) | −4.88020 | −0.268240 | −0.134120 | − | 0.990965i | \(-0.542821\pi\) | ||||
−0.134120 | + | 0.990965i | \(0.542821\pi\) | |||||||
\(332\) | 7.99497 | − | 2.14225i | 0.438781 | − | 0.117571i | ||||
\(333\) | −12.7188 | + | 12.5745i | −0.696988 | + | 0.689079i | ||||
\(334\) | 19.1590i | 1.04834i | ||||||||
\(335\) | 34.3824 | − | 1.69532i | 1.87851 | − | 0.0926255i | ||||
\(336\) | 1.65270 | − | 6.09831i | 0.0901622 | − | 0.332690i | ||||
\(337\) | −3.99162 | − | 1.06955i | −0.217438 | − | 0.0582622i | 0.148456 | − | 0.988919i | \(-0.452570\pi\) |
−0.365893 | + | 0.930657i | \(0.619236\pi\) | |||||||
\(338\) | −2.92811 | − | 10.9279i | −0.159268 | − | 0.594397i | ||||
\(339\) | −6.81304 | − | 6.85203i | −0.370034 | − | 0.372151i | ||||
\(340\) | −4.67916 | − | 7.25427i | −0.253763 | − | 0.393418i | ||||
\(341\) | 2.16197i | 0.117077i | ||||||||
\(342\) | −12.1664 | + | 4.79358i | −0.657884 | + | 0.259207i | ||||
\(343\) | 1.78771 | + | 1.78771i | 0.0965273 | + | 0.0965273i | ||||
\(344\) | 2.84553 | + | 4.92860i | 0.153421 | + | 0.265732i | ||||
\(345\) | 0.909709 | + | 19.5854i | 0.0489771 | + | 1.05444i | ||||
\(346\) | −6.40837 | + | 11.0996i | −0.344516 | + | 0.596719i | ||||
\(347\) | −2.75201 | + | 10.2707i | −0.147736 | + | 0.551357i | 0.851883 | + | 0.523733i | \(0.175461\pi\) |
−0.999618 | + | 0.0276246i | \(0.991206\pi\) | |||||||
\(348\) | −2.45301 | − | 4.27688i | −0.131495 | − | 0.229265i | ||||
\(349\) | − | 4.52146i | − | 0.242028i | −0.992651 | − | 0.121014i | \(-0.961385\pi\) | ||
0.992651 | − | 0.121014i | \(-0.0386147\pi\) | |||||||
\(350\) | −1.79433 | − | 18.1509i | −0.0959107 | − | 0.970204i | ||||
\(351\) | 1.69073 | + | 6.53306i | 0.0902444 | + | 0.348709i | ||||
\(352\) | −0.259557 | − | 0.968682i | −0.0138345 | − | 0.0516309i | ||||
\(353\) | −17.8842 | + | 17.8842i | −0.951878 | + | 0.951878i | −0.998894 | − | 0.0470159i | \(-0.985029\pi\) |
0.0470159 | + | 0.998894i | \(0.485029\pi\) | |||||||
\(354\) | −5.74428 | − | 21.6853i | −0.305305 | − | 1.15256i | ||||
\(355\) | −8.74751 | − | 27.2080i | −0.464270 | − | 1.44405i | ||||
\(356\) | 8.87697 | − | 5.12512i | 0.470478 | − | 0.271631i | ||||
\(357\) | 21.1588 | − | 12.1357i | 1.11984 | − | 0.642289i | ||||
\(358\) | −6.36516 | + | 23.7551i | −0.336409 | + | 1.25550i | ||||
\(359\) | 13.4034 | + | 23.2154i | 0.707407 | + | 1.22526i | 0.965816 | + | 0.259229i | \(0.0834683\pi\) |
−0.258409 | + | 0.966035i | \(0.583198\pi\) | |||||||
\(360\) | 3.60391 | + | 5.65790i | 0.189943 | + | 0.298197i | ||||
\(361\) | −5.34449 | + | 18.2328i | −0.281289 | + | 0.959623i | ||||
\(362\) | −15.1965 | − | 15.1965i | −0.798709 | − | 0.798709i | ||||
\(363\) | 0.0493900 | − | 17.3105i | 0.00259230 | − | 0.908568i | ||||
\(364\) | −4.10281 | + | 2.36876i | −0.215046 | + | 0.124157i | ||||
\(365\) | 0.488701 | + | 0.250912i | 0.0255798 | + | 0.0131333i | ||||
\(366\) | 1.12503 | − | 1.11863i | 0.0588063 | − | 0.0584717i | ||||
\(367\) | 4.96914 | + | 18.5451i | 0.259387 | + | 0.968045i | 0.965597 | + | 0.260043i | \(0.0837367\pi\) |
−0.706210 | + | 0.708002i | \(0.749597\pi\) | |||||||
\(368\) | 3.57965 | − | 3.57965i | 0.186602 | − | 0.186602i | ||||
\(369\) | −3.63756 | + | 2.07256i | −0.189364 | + | 0.107893i | ||||
\(370\) | 12.6912 | − | 4.08028i | 0.659784 | − | 0.212124i | ||||
\(371\) | −10.5127 | − | 6.06953i | −0.545794 | − | 0.315114i | ||||
\(372\) | −1.87621 | + | 3.22839i | −0.0972772 | + | 0.167384i | ||||
\(373\) | −14.2502 | − | 14.2502i | −0.737846 | − | 0.737846i | 0.234314 | − | 0.972161i | \(-0.424715\pi\) |
−0.972161 | + | 0.234314i | \(0.924715\pi\) | |||||||
\(374\) | 1.93578 | − | 3.35287i | 0.100097 | − | 0.173373i | ||||
\(375\) | 15.5273 | + | 11.5716i | 0.801829 | + | 0.597554i | ||||
\(376\) | 1.82789 | − | 3.16599i | 0.0942661 | − | 0.163274i | ||||
\(377\) | −0.956821 | + | 3.57090i | −0.0492788 | + | 0.183911i | ||||
\(378\) | −16.4959 | + | 9.33658i | −0.848459 | + | 0.480222i | ||||
\(379\) | 19.5499i | 1.00421i | 0.864806 | + | 0.502107i | \(0.167441\pi\) | ||||
−0.864806 | + | 0.502107i | \(0.832559\pi\) | |||||||
\(380\) | 9.70440 | + | 0.908061i | 0.497825 | + | 0.0465826i | ||||
\(381\) | −15.5091 | + | 4.10826i | −0.794556 | + | 0.210473i | ||||
\(382\) | −11.9843 | − | 3.21118i | −0.613169 | − | 0.164298i | ||||
\(383\) | 9.47939 | + | 2.54000i | 0.484374 | + | 0.129788i | 0.492739 | − | 0.870177i | \(-0.335996\pi\) |
−0.00836437 | + | 0.999965i | \(0.502662\pi\) | |||||||
\(384\) | 0.453059 | − | 1.67175i | 0.0231201 | − | 0.0853110i | ||||
\(385\) | 6.87419 | − | 4.43400i | 0.350341 | − | 0.225977i | ||||
\(386\) | −0.216963 | − | 0.125264i | −0.0110431 | − | 0.00637576i | ||||
\(387\) | 4.51290 | − | 16.4659i | 0.229403 | − | 0.837011i | ||||
\(388\) | 6.20608 | + | 6.20608i | 0.315066 | + | 0.315066i | ||||
\(389\) | −15.5929 | + | 27.0077i | −0.790592 | + | 1.36935i | 0.135009 | + | 0.990844i | \(0.456894\pi\) |
−0.925601 | + | 0.378501i | \(0.876440\pi\) | |||||||
\(390\) | 1.07500 | − | 4.91366i | 0.0544348 | − | 0.248813i | ||||
\(391\) | 19.5436 | 0.988361 | ||||||||
\(392\) | −4.45968 | − | 4.45968i | −0.225248 | − | 0.225248i | ||||
\(393\) | −4.20682 | − | 7.33467i | −0.212206 | − | 0.369985i | ||||
\(394\) | 3.60081 | − | 2.07893i | 0.181406 | − | 0.104735i | ||||
\(395\) | −10.1001 | − | 31.4151i | −0.508192 | − | 1.58067i | ||||
\(396\) | −1.51912 | + | 2.59686i | −0.0763388 | + | 0.130497i | ||||
\(397\) | −10.5464 | − | 2.82590i | −0.529308 | − | 0.141828i | −0.0157393 | − | 0.999876i | \(-0.505010\pi\) |
−0.513569 | + | 0.858048i | \(0.671677\pi\) | |||||||
\(398\) | −13.1820 | + | 13.1820i | −0.660756 | + | 0.660756i | ||||
\(399\) | −3.99093 | + | 27.2501i | −0.199796 | + | 1.36421i | ||||
\(400\) | −0.491883 | − | 4.97575i | −0.0245942 | − | 0.248787i | ||||
\(401\) | −7.77240 | + | 4.48740i | −0.388135 | + | 0.224090i | −0.681352 | − | 0.731956i | \(-0.738608\pi\) |
0.293217 | + | 0.956046i | \(0.405274\pi\) | |||||||
\(402\) | −0.0760792 | + | 26.6647i | −0.00379449 | + | 1.32992i | ||||
\(403\) | 2.70438 | − | 0.724637i | 0.134715 | − | 0.0360968i | ||||
\(404\) | 6.30906 | + | 10.9276i | 0.313888 | + | 0.543669i | ||||
\(405\) | 4.46921 | − | 19.6221i | 0.222077 | − | 0.975029i | ||||
\(406\) | −10.3839 | −0.515346 | ||||||||
\(407\) | 4.22765 | + | 4.22765i | 0.209557 | + | 0.209557i | ||||
\(408\) | 5.80033 | − | 3.32679i | 0.287159 | − | 0.164701i | ||||
\(409\) | −25.2024 | − | 14.5506i | −1.24618 | − | 0.719482i | −0.275834 | − | 0.961205i | \(-0.588954\pi\) |
−0.970345 | + | 0.241724i | \(0.922287\pi\) | |||||||
\(410\) | 3.11670 | − | 0.153678i | 0.153923 | − | 0.00758961i | ||||
\(411\) | 4.33178 | + | 16.3529i | 0.213671 | + | 0.806630i | ||||
\(412\) | −4.19136 | − | 15.6424i | −0.206493 | − | 0.770644i | ||||
\(413\) | −45.6366 | − | 12.2283i | −2.24563 | − | 0.601714i | ||||
\(414\) | −15.1869 | − | 0.0866626i | −0.746396 | − | 0.00425924i | ||||
\(415\) | 10.0321 | + | 15.5532i | 0.492457 | + | 0.763474i | ||||
\(416\) | −1.12471 | + | 0.649354i | −0.0551437 | + | 0.0318372i | ||||
\(417\) | 10.4306 | − | 17.9479i | 0.510790 | − | 0.878914i | ||||
\(418\) | 1.62560 | + | 4.05783i | 0.0795107 | + | 0.198475i | ||||
\(419\) | −16.1638 | −0.789651 | −0.394826 | − | 0.918756i | \(-0.629195\pi\) | ||||
−0.394826 | + | 0.918756i | \(0.629195\pi\) | |||||||
\(420\) | 14.1129 | − | 0.655520i | 0.688640 | − | 0.0319861i | ||||
\(421\) | −8.55942 | − | 14.8253i | −0.417161 | − | 0.722543i | 0.578492 | − | 0.815688i | \(-0.303641\pi\) |
−0.995653 | + | 0.0931447i | \(0.970308\pi\) | |||||||
\(422\) | 21.3745 | − | 5.72727i | 1.04049 | − | 0.278799i | ||||
\(423\) | −10.6096 | + | 2.77806i | −0.515859 | + | 0.135074i | ||||
\(424\) | −2.88188 | − | 1.66386i | −0.139957 | − | 0.0808040i | ||||
\(425\) | 12.2401 | − | 14.9256i | 0.593733 | − | 0.723999i | ||||
\(426\) | 21.3996 | − | 5.66862i | 1.03682 | − | 0.274646i | ||||
\(427\) | −0.864806 | − | 3.22750i | −0.0418509 | − | 0.156190i | ||||
\(428\) | −3.29994 | − | 12.3155i | −0.159509 | − | 0.595294i | ||||
\(429\) | 2.18064 | − | 0.577637i | 0.105282 | − | 0.0278886i | ||||
\(430\) | −8.54428 | + | 9.43059i | −0.412042 | + | 0.454783i | ||||
\(431\) | 24.6924 | + | 14.2562i | 1.18939 | + | 0.686697i | 0.958169 | − | 0.286204i | \(-0.0923935\pi\) |
0.231225 | + | 0.972900i | \(0.425727\pi\) | |||||||
\(432\) | −4.52207 | + | 2.55946i | −0.217568 | + | 0.123142i | ||||
\(433\) | 23.8901 | − | 6.40132i | 1.14808 | − | 0.307628i | 0.365886 | − | 0.930660i | \(-0.380766\pi\) |
0.782197 | + | 0.623032i | \(0.214099\pi\) | |||||||
\(434\) | 3.93208 | + | 6.81055i | 0.188746 | + | 0.326917i | ||||
\(435\) | 7.42557 | − | 8.14898i | 0.356029 | − | 0.390714i | ||||
\(436\) | −6.53846 | −0.313135 | ||||||||
\(437\) | −13.6366 | + | 17.3486i | −0.652325 | + | 0.829894i | ||||
\(438\) | −0.213813 | + | 0.367906i | −0.0102164 | + | 0.0175793i | ||||
\(439\) | −18.0042 | + | 10.3948i | −0.859296 | + | 0.496115i | −0.863776 | − | 0.503875i | \(-0.831907\pi\) |
0.00448059 | + | 0.999990i | \(0.498574\pi\) | |||||||
\(440\) | 1.88444 | − | 1.21550i | 0.0898372 | − | 0.0579469i | ||||
\(441\) | −0.107968 | + | 18.9205i | −0.00514133 | + | 0.900976i | ||||
\(442\) | −4.84288 | − | 1.29765i | −0.230352 | − | 0.0617227i | ||||
\(443\) | −6.36624 | − | 23.7591i | −0.302469 | − | 1.12883i | −0.935102 | − | 0.354378i | \(-0.884693\pi\) |
0.632633 | − | 0.774451i | \(-0.281974\pi\) | |||||||
\(444\) | 2.64413 | + | 9.98187i | 0.125485 | + | 0.473718i | ||||
\(445\) | 16.9856 | + | 15.3892i | 0.805193 | + | 0.729519i | ||||
\(446\) | −8.04295 | − | 4.64360i | −0.380845 | − | 0.219881i | ||||
\(447\) | −24.7722 | + | 14.2082i | −1.17169 | + | 0.672024i | ||||
\(448\) | −2.57943 | − | 2.57943i | −0.121867 | − | 0.121867i | ||||
\(449\) | −16.5014 | −0.778748 | −0.389374 | − | 0.921080i | \(-0.627309\pi\) | ||||
−0.389374 | + | 0.921080i | \(0.627309\pi\) | |||||||
\(450\) | −9.57774 | + | 11.5441i | −0.451499 | + | 0.544195i | ||||
\(451\) | 0.699752 | + | 1.21201i | 0.0329500 | + | 0.0570711i | ||||
\(452\) | −5.38867 | + | 1.44389i | −0.253462 | + | 0.0679149i | ||||
\(453\) | −0.0195009 | + | 6.83480i | −0.000916232 | + | 0.321127i | ||||
\(454\) | 19.3604 | − | 11.1777i | 0.908629 | − | 0.524597i | ||||
\(455\) | −7.85048 | − | 7.11268i | −0.368036 | − | 0.333448i | ||||
\(456\) | −1.09404 | + | 7.47015i | −0.0512333 | + | 0.349822i | ||||
\(457\) | −14.3251 | + | 14.3251i | −0.670100 | + | 0.670100i | −0.957739 | − | 0.287639i | \(-0.907130\pi\) |
0.287639 | + | 0.957739i | \(0.407130\pi\) | |||||||
\(458\) | 1.23101 | + | 0.329849i | 0.0575214 | + | 0.0154128i | ||||
\(459\) | −19.3313 | − | 5.35756i | −0.902308 | − | 0.250070i | ||||
\(460\) | 10.0701 | + | 5.17026i | 0.469522 | + | 0.241065i | ||||
\(461\) | −27.5546 | + | 15.9086i | −1.28334 | + | 0.740939i | −0.977458 | − | 0.211129i | \(-0.932286\pi\) |
−0.305886 | + | 0.952068i | \(0.598953\pi\) | |||||||
\(462\) | 3.15249 | + | 5.49643i | 0.146667 | + | 0.255717i | ||||
\(463\) | −21.0915 | − | 21.0915i | −0.980204 | − | 0.980204i | 0.0196042 | − | 0.999808i | \(-0.493759\pi\) |
−0.999808 | + | 0.0196042i | \(0.993759\pi\) | |||||||
\(464\) | −2.84658 | −0.132149 | ||||||||
\(465\) | −8.15654 | − | 1.78447i | −0.378250 | − | 0.0827529i | ||||
\(466\) | −12.8646 | + | 22.2821i | −0.595941 | + | 1.03220i | ||||
\(467\) | −19.0082 | − | 19.0082i | −0.879595 | − | 0.879595i | 0.113897 | − | 0.993493i | \(-0.463667\pi\) |
−0.993493 | + | 0.113897i | \(0.963667\pi\) | |||||||
\(468\) | 3.75755 | + | 1.02985i | 0.173693 | + | 0.0476048i | ||||
\(469\) | 48.6349 | + | 28.0794i | 2.24575 | + | 1.29658i | ||||
\(470\) | 7.99063 | + | 1.72430i | 0.368580 | + | 0.0795360i | ||||
\(471\) | −1.62786 | + | 6.00664i | −0.0750077 | + | 0.276771i | ||||
\(472\) | −12.5105 | − | 3.35217i | −0.575841 | − | 0.154296i | ||||
\(473\) | −5.51282 | − | 1.47716i | −0.253480 | − | 0.0679197i | ||||
\(474\) | 24.7086 | − | 6.54515i | 1.13490 | − | 0.300629i | ||||
\(475\) | 4.70870 | + | 21.2798i | 0.216050 | + | 0.976382i | ||||
\(476\) | − | 14.0828i | − | 0.645482i | ||||||
\(477\) | 2.52876 | + | 9.65756i | 0.115784 | + | 0.442189i | ||||
\(478\) | 0.962566 | − | 3.59234i | 0.0440267 | − | 0.164310i | ||||
\(479\) | −15.4307 | + | 26.7268i | −0.705047 | + | 1.22118i | 0.261628 | + | 0.965169i | \(0.415741\pi\) |
−0.966675 | + | 0.256008i | \(0.917593\pi\) | |||||||
\(480\) | 3.86881 | − | 0.179699i | 0.176586 | − | 0.00820212i | ||||
\(481\) | 3.87132 | − | 6.70532i | 0.176517 | − | 0.305736i | ||||
\(482\) | 11.5925 | + | 11.5925i | 0.528023 | + | 0.528023i | ||||
\(483\) | −16.0718 | + | 27.6546i | −0.731292 | + | 1.25833i | ||||
\(484\) | −8.65531 | − | 4.99714i | −0.393423 | − | 0.227143i | ||||
\(485\) | −8.96374 | + | 17.4587i | −0.407022 | + | 0.792757i | ||||
\(486\) | 14.9982 | + | 4.24898i | 0.680332 | + | 0.192738i | ||||
\(487\) | −22.7763 | + | 22.7763i | −1.03209 | + | 1.03209i | −0.0326266 | + | 0.999468i | \(0.510387\pi\) |
−0.999468 | + | 0.0326266i | \(0.989613\pi\) | |||||||
\(488\) | −0.237072 | − | 0.884764i | −0.0107317 | − | 0.0400514i | ||||
\(489\) | 28.2392 | − | 28.0785i | 1.27702 | − | 1.26975i | ||||
\(490\) | 6.44133 | − | 12.5458i | 0.290990 | − | 0.566760i | ||||
\(491\) | −31.3455 | + | 18.0973i | −1.41460 | + | 0.816721i | −0.995818 | − | 0.0913644i | \(-0.970877\pi\) |
−0.418785 | + | 0.908085i | \(0.637544\pi\) | |||||||
\(492\) | −0.00689643 | + | 2.41711i | −0.000310915 | + | 0.108972i | ||||
\(493\) | −7.77063 | − | 7.77063i | −0.349972 | − | 0.349972i | ||||
\(494\) | 4.53103 | − | 3.39352i | 0.203861 | − | 0.152682i | ||||
\(495\) | −6.56777 | − | 1.45653i | −0.295199 | − | 0.0654663i | ||||
\(496\) | 1.07791 | + | 1.86700i | 0.0483996 | + | 0.0838306i | ||||
\(497\) | 12.0672 | − | 45.0354i | 0.541288 | − | 2.02012i | ||||
\(498\) | −12.4359 | + | 7.13264i | −0.557266 | + | 0.319621i | ||||
\(499\) | −4.97753 | + | 2.87378i | −0.222825 | + | 0.128648i | −0.607258 | − | 0.794505i | \(-0.707730\pi\) |
0.384433 | + | 0.923153i | \(0.374397\pi\) | |||||||
\(500\) | 10.2555 | − | 4.45252i | 0.458639 | − | 0.199123i | ||||
\(501\) | −8.49728 | − | 32.0781i | −0.379630 | − | 1.43314i | ||||
\(502\) | 6.37641 | − | 6.37641i | 0.284593 | − | 0.284593i | ||||
\(503\) | 2.83189 | + | 10.5688i | 0.126268 | + | 0.471238i | 0.999882 | − | 0.0153817i | \(-0.00489634\pi\) |
−0.873614 | + | 0.486620i | \(0.838230\pi\) | |||||||
\(504\) | −0.0624476 | + | 10.9434i | −0.00278164 | + | 0.487459i | ||||
\(505\) | −18.9442 | + | 20.9093i | −0.843008 | + | 0.930453i | ||||
\(506\) | 5.07683i | 0.225693i | ||||||||
\(507\) | 9.74920 | + | 16.9979i | 0.432977 | + | 0.754904i | ||||
\(508\) | −2.39744 | + | 8.94739i | −0.106369 | + | 0.396976i | ||||
\(509\) | −18.0493 | + | 31.2623i | −0.800020 | + | 1.38568i | 0.119582 | + | 0.992824i | \(0.461844\pi\) |
−0.919602 | + | 0.392851i | \(0.871489\pi\) | |||||||
\(510\) | 11.0517 | + | 10.0706i | 0.489377 | + | 0.445934i | ||||
\(511\) | 0.448098 | + | 0.776128i | 0.0198227 | + | 0.0343339i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 18.2443 | − | 13.4219i | 0.805504 | − | 0.592590i | ||||
\(514\) | 21.5899i | 0.952290i | ||||||||
\(515\) | 30.4301 | − | 19.6281i | 1.34091 | − | 0.864916i | ||||
\(516\) | −6.95018 | − | 6.98995i | −0.305965 | − | 0.307716i | ||||
\(517\) | 0.948883 | + | 3.54128i | 0.0417318 | + | 0.155745i | ||||
\(518\) | 21.0068 | + | 5.62876i | 0.922986 | + | 0.247313i | ||||
\(519\) | 5.80674 | − | 21.4263i | 0.254888 | − | 0.940512i | ||||
\(520\) | −2.15207 | − | 1.94982i | −0.0943747 | − | 0.0855052i | ||||
\(521\) | 16.7535i | 0.733984i | 0.930224 | + | 0.366992i | \(0.119612\pi\) | ||||
−0.930224 | + | 0.366992i | \(0.880388\pi\) | |||||||
\(522\) | 6.00394 | + | 6.07286i | 0.262785 | + | 0.265802i | ||||
\(523\) | −0.0599115 | + | 0.0160532i | −0.00261974 | + | 0.000701959i | −0.260129 | − | 0.965574i | \(-0.583765\pi\) |
0.257509 | + | 0.966276i | \(0.417098\pi\) | |||||||
\(524\) | −4.88176 | −0.213261 | ||||||||
\(525\) | 11.0544 | + | 29.5943i | 0.482453 | + | 1.29160i | ||||
\(526\) | −9.44274 | + | 16.3553i | −0.411723 | + | 0.713125i | ||||
\(527\) | −2.15406 | + | 8.03906i | −0.0938323 | + | 0.350187i | ||||
\(528\) | 0.864201 | + | 1.50675i | 0.0376095 | + | 0.0655729i | ||||
\(529\) | −2.27573 | + | 1.31389i | −0.0989449 | + | 0.0571258i | ||||
\(530\) | 1.56956 | − | 7.27357i | 0.0681775 | − | 0.315944i | ||||
\(531\) | 19.2354 | + | 33.7601i | 0.834744 | + | 1.46506i | ||||
\(532\) | 12.5011 | + | 9.82626i | 0.541989 | + | 0.426022i | ||||
\(533\) | 1.28154 | − | 1.28154i | 0.0555098 | − | 0.0555098i | ||||
\(534\) | −12.5897 | + | 12.5181i | −0.544810 | + | 0.541710i | ||||
\(535\) | 23.9583 | − | 15.4536i | 1.03581 | − | 0.668116i | ||||
\(536\) | 13.3324 | + | 7.69748i | 0.575873 | + | 0.332480i | ||||
\(537\) | 0.121535 | − | 42.5963i | 0.00524462 | − | 1.83817i | ||||
\(538\) | 1.76946 | − | 0.474125i | 0.0762868 | − | 0.0204410i | ||||
\(539\) | 6.32493 | 0.272434 | ||||||||
\(540\) | −8.54339 | − | 7.87467i | −0.367649 | − | 0.338872i | ||||
\(541\) | 17.7682 | − | 30.7754i | 0.763914 | − | 1.32314i | −0.176905 | − | 0.984228i | \(-0.556609\pi\) |
0.940819 | − | 0.338910i | \(-0.110058\pi\) | |||||||
\(542\) | 30.6756 | − | 8.21950i | 1.31763 | − | 0.353058i | ||||
\(543\) | 32.1833 | + | 18.7037i | 1.38112 | + | 0.802652i | ||||
\(544\) | − | 3.86054i | − | 0.165519i | ||||||
\(545\) | −4.47495 | − | 13.9188i | −0.191686 | − | 0.596215i | ||||
\(546\) | 5.81878 | − | 5.78567i | 0.249021 | − | 0.247604i | ||||
\(547\) | 7.81708 | + | 29.1738i | 0.334234 | + | 1.24738i | 0.904697 | + | 0.426056i | \(0.140097\pi\) |
−0.570463 | + | 0.821324i | \(0.693236\pi\) | |||||||
\(548\) | 9.43419 | + | 2.52788i | 0.403008 | + | 0.107986i | ||||
\(549\) | −1.38752 | + | 2.37189i | −0.0592179 | + | 0.101230i | ||||
\(550\) | 3.87723 | + | 3.17962i | 0.165326 | + | 0.135579i | ||||
\(551\) | 12.3198 | − | 1.47591i | 0.524843 | − | 0.0628758i | ||||
\(552\) | −4.40581 | + | 7.58104i | −0.187524 | + | 0.322671i | ||||
\(553\) | 13.9331 | − | 51.9992i | 0.592497 | − | 2.21123i | ||||
\(554\) | 1.77397 | + | 3.07260i | 0.0753686 | + | 0.130542i | ||||
\(555\) | −19.4393 | + | 12.4603i | −0.825151 | + | 0.528912i | ||||
\(556\) | −5.99254 | − | 10.3794i | −0.254140 | − | 0.440184i | ||||
\(557\) | −31.1885 | + | 8.35693i | −1.32150 | + | 0.354095i | −0.849539 | − | 0.527525i | \(-0.823120\pi\) |
−0.471960 | + | 0.881620i | \(0.656453\pi\) | |||||||
\(558\) | 1.70952 | − | 6.23744i | 0.0723699 | − | 0.264052i | ||||
\(559\) | 7.39103i | 0.312607i | ||||||||
\(560\) | 3.72560 | − | 7.25635i | 0.157435 | − | 0.306637i | ||||
\(561\) | −1.75405 | + | 6.47226i | −0.0740559 | + | 0.273259i | ||||
\(562\) | 3.72577 | − | 3.72577i | 0.157162 | − | 0.157162i | ||||
\(563\) | 14.2598 | − | 14.2598i | 0.600980 | − | 0.600980i | −0.339593 | − | 0.940573i | \(-0.610289\pi\) |
0.940573 | + | 0.339593i | \(0.110289\pi\) | |||||||
\(564\) | −1.65628 | + | 6.11153i | −0.0697421 | + | 0.257342i | ||||
\(565\) | −6.76172 | − | 10.4829i | −0.284468 | − | 0.441021i | ||||
\(566\) | −2.77997 | − | 1.60502i | −0.116851 | − | 0.0674638i | ||||
\(567\) | 23.4783 | − | 22.9484i | 0.985996 | − | 0.963744i | ||||
\(568\) | 3.30802 | − | 12.3457i | 0.138801 | − | 0.518014i | ||||
\(569\) | 27.3079 | 1.14481 | 0.572403 | − | 0.819972i | \(-0.306011\pi\) | ||||
0.572403 | + | 0.819972i | \(0.306011\pi\) | |||||||
\(570\) | −16.6509 | + | 2.78365i | −0.697428 | + | 0.116594i | ||||
\(571\) | −41.8367 | −1.75081 | −0.875405 | − | 0.483391i | \(-0.839405\pi\) | ||||
−0.875405 | + | 0.483391i | \(0.839405\pi\) | |||||||
\(572\) | 0.337089 | − | 1.25803i | 0.0140944 | − | 0.0526011i | ||||
\(573\) | 21.4895 | + | 0.0613134i | 0.897738 | + | 0.00256141i | ||||
\(574\) | 4.40866 | + | 2.54534i | 0.184014 | + | 0.106240i | ||||
\(575\) | −4.11418 | + | 24.9754i | −0.171573 | + | 1.04154i | ||||
\(576\) | −0.0171189 | + | 2.99995i | −0.000713288 | + | 0.124998i | ||||
\(577\) | −15.4858 | + | 15.4858i | −0.644681 | + | 0.644681i | −0.951703 | − | 0.307021i | \(-0.900668\pi\) |
0.307021 | + | 0.951703i | \(0.400668\pi\) | |||||||
\(578\) | −1.48224 | + | 1.48224i | −0.0616530 | + | 0.0616530i | ||||
\(579\) | 0.418819 | + | 0.113504i | 0.0174055 | + | 0.00471706i | ||||
\(580\) | −1.94821 | − | 6.05966i | −0.0808950 | − | 0.251614i | ||||
\(581\) | 30.1934i | 1.25263i | ||||||||
\(582\) | −13.1433 | − | 7.63839i | −0.544809 | − | 0.316621i | ||||
\(583\) | 3.22349 | − | 0.863732i | 0.133503 | − | 0.0357721i | ||||
\(584\) | 0.122838 | + | 0.212762i | 0.00508309 | + | 0.00880416i | ||||
\(585\) | 0.379389 | + | 8.70374i | 0.0156858 | + | 0.359855i | ||||
\(586\) | 0.527196 | + | 0.913131i | 0.0217783 | + | 0.0377211i | ||||
\(587\) | 7.96209 | − | 29.7149i | 0.328631 | − | 1.22647i | −0.581981 | − | 0.813203i | \(-0.697722\pi\) |
0.910611 | − | 0.413264i | \(-0.135611\pi\) | |||||||
\(588\) | 9.44478 | + | 5.48894i | 0.389496 | + | 0.226360i | ||||
\(589\) | −5.63316 | − | 7.52139i | −0.232110 | − | 0.309913i | ||||
\(590\) | −1.42628 | − | 28.9260i | −0.0587190 | − | 1.19086i | ||||
\(591\) | −5.10683 | + | 5.07777i | −0.210067 | + | 0.208872i | ||||
\(592\) | 5.75865 | + | 1.54303i | 0.236679 | + | 0.0634180i | ||||
\(593\) | −2.73035 | − | 10.1898i | −0.112122 | − | 0.418444i | 0.886934 | − | 0.461897i | \(-0.152831\pi\) |
−0.999055 | + | 0.0434524i | \(0.986164\pi\) | |||||||
\(594\) | 1.39173 | − | 5.02169i | 0.0571035 | − | 0.206042i | ||||
\(595\) | 29.9787 | − | 9.63830i | 1.22901 | − | 0.395132i | ||||
\(596\) | 16.4877i | 0.675364i | ||||||||
\(597\) | 16.2243 | − | 27.9171i | 0.664018 | − | 1.14257i | ||||
\(598\) | 6.35055 | − | 1.70162i | 0.259693 | − | 0.0695846i | ||||
\(599\) | 4.93118 | − | 8.54106i | 0.201483 | − | 0.348978i | −0.747524 | − | 0.664235i | \(-0.768757\pi\) |
0.949006 | + | 0.315257i | \(0.102091\pi\) | |||||||
\(600\) | 3.03037 | + | 8.11276i | 0.123714 | + | 0.331202i | ||||
\(601\) | −0.236940 | −0.00966499 | −0.00483250 | − | 0.999988i | \(-0.501538\pi\) | ||||
−0.00483250 | + | 0.999988i | \(0.501538\pi\) | |||||||
\(602\) | −20.0528 | + | 5.37314i | −0.817293 | + | 0.218993i | ||||
\(603\) | −11.6988 | − | 44.6786i | −0.476410 | − | 1.81945i | ||||
\(604\) | 3.41742 | + | 1.97305i | 0.139053 | + | 0.0802821i | ||||
\(605\) | 4.71395 | − | 21.8451i | 0.191650 | − | 0.888129i | ||||
\(606\) | −15.4098 | − | 15.4980i | −0.625981 | − | 0.629564i | ||||
\(607\) | 8.95827 | − | 8.95827i | 0.363605 | − | 0.363605i | −0.501533 | − | 0.865138i | \(-0.667231\pi\) |
0.865138 | + | 0.501533i | \(0.167231\pi\) | |||||||
\(608\) | 3.42695 | + | 2.69370i | 0.138981 | + | 0.109244i | ||||
\(609\) | 17.3859 | − | 4.60540i | 0.704511 | − | 0.186620i | ||||
\(610\) | 1.72119 | − | 1.11020i | 0.0696890 | − | 0.0449508i | ||||
\(611\) | 4.11170 | − | 2.37389i | 0.166342 | − | 0.0960374i | ||||
\(612\) | −8.23605 | + | 8.14259i | −0.332923 | + | 0.329144i | ||||
\(613\) | −11.0267 | + | 41.1521i | −0.445364 | + | 1.66212i | 0.269611 | + | 0.962969i | \(0.413105\pi\) |
−0.714975 | + | 0.699150i | \(0.753562\pi\) | |||||||
\(614\) | 3.97501 | − | 6.88491i | 0.160418 | − | 0.277852i | ||||
\(615\) | −5.15014 | + | 1.63960i | −0.207674 | + | 0.0661150i | ||||
\(616\) | 3.65827 | 0.147396 | ||||||||
\(617\) | 41.3650 | − | 11.0837i | 1.66529 | − | 0.446214i | 0.701457 | − | 0.712712i | \(-0.252533\pi\) |
0.963836 | + | 0.266498i | \(0.0858665\pi\) | |||||||
\(618\) | 13.9552 | + | 24.3312i | 0.561360 | + | 0.978743i | ||||
\(619\) | − | 40.5223i | − | 1.62873i | −0.580353 | − | 0.814365i | \(-0.697086\pi\) | ||
0.580353 | − | 0.814365i | \(-0.302914\pi\) | |||||||
\(620\) | −3.23665 | + | 3.57239i | −0.129987 | + | 0.143470i | ||||
\(621\) | 25.4660 | − | 6.59049i | 1.02191 | − | 0.264467i | ||||
\(622\) | 15.9648 | + | 4.27777i | 0.640132 | + | 0.171523i | ||||
\(623\) | 9.67764 | + | 36.1174i | 0.387726 | + | 1.44701i | ||||
\(624\) | 1.59512 | − | 1.58604i | 0.0638558 | − | 0.0634925i | ||||
\(625\) | 16.4972 | + | 18.7841i | 0.659889 | + | 0.751363i | ||||
\(626\) | 8.78704i | 0.351201i | ||||||||
\(627\) | −4.52145 | − | 6.07307i | −0.180569 | − | 0.242535i | ||||
\(628\) | 2.54066 | + | 2.54066i | 0.101383 | + | 0.101383i | ||||
\(629\) | 11.5079 | + | 19.9323i | 0.458850 | + | 0.794751i | ||||
\(630\) | −23.3386 | + | 7.35679i | −0.929832 | + | 0.293102i | ||||
\(631\) | 3.26416 | − | 5.65370i | 0.129944 | − | 0.225070i | −0.793710 | − | 0.608296i | \(-0.791853\pi\) |
0.923655 | + | 0.383226i | \(0.125187\pi\) | |||||||
\(632\) | 3.81953 | − | 14.2547i | 0.151933 | − | 0.567021i | ||||
\(633\) | −33.2473 | + | 19.0690i | −1.32146 | + | 0.757927i | ||||
\(634\) | 18.5818i | 0.737977i | ||||||||
\(635\) | −20.6876 | + | 1.02006i | −0.820962 | + | 0.0404799i | ||||
\(636\) | 5.56309 | + | 1.50765i | 0.220591 | + | 0.0597822i | ||||
\(637\) | −2.11995 | − | 7.91177i | −0.0839956 | − | 0.313476i | ||||
\(638\) | 2.01858 | − | 2.01858i | 0.0799162 | − | 0.0799162i | ||||
\(639\) | −33.3154 | + | 18.9820i | −1.31794 | + | 0.750916i | ||||
\(640\) | 1.02131 | − | 1.98920i | 0.0403708 | − | 0.0786302i | ||||
\(641\) | 0.267937 | − | 0.154693i | 0.0105829 | − | 0.00611002i | −0.494699 | − | 0.869064i | \(-0.664722\pi\) |
0.505282 | + | 0.862954i | \(0.331388\pi\) | |||||||
\(642\) | 10.9872 | + | 19.1564i | 0.433630 | + | 0.756043i | ||||
\(643\) | −12.4148 | + | 46.3327i | −0.489593 | + | 1.82718i | 0.0688306 | + | 0.997628i | \(0.478073\pi\) |
−0.558423 | + | 0.829556i | \(0.688593\pi\) | |||||||
\(644\) | 9.23346 | + | 15.9928i | 0.363849 | + | 0.630206i | ||||
\(645\) | 10.1232 | − | 19.5792i | 0.398599 | − | 0.770929i | ||||
\(646\) | 2.00163 | + | 16.7083i | 0.0787533 | + | 0.657377i | ||||
\(647\) | 2.84803 | + | 2.84803i | 0.111967 | + | 0.111967i | 0.760871 | − | 0.648903i | \(-0.224772\pi\) |
−0.648903 | + | 0.760871i | \(0.724772\pi\) | |||||||
\(648\) | 6.43617 | − | 6.29092i | 0.252837 | − | 0.247131i | ||||
\(649\) | 11.2486 | − | 6.49438i | 0.441546 | − | 0.254927i | ||||
\(650\) | 2.67779 | − | 5.91570i | 0.105032 | − | 0.232033i | ||||
\(651\) | −9.60406 | − | 9.65902i | −0.376413 | − | 0.378567i | ||||
\(652\) | −5.95068 | − | 22.2083i | −0.233047 | − | 0.869742i | ||||
\(653\) | −13.6912 | + | 13.6912i | −0.535778 | + | 0.535778i | −0.922286 | − | 0.386508i | \(-0.873681\pi\) |
0.386508 | + | 0.922286i | \(0.373681\pi\) | |||||||
\(654\) | 10.9474 | − | 2.89989i | 0.428076 | − | 0.113395i | ||||
\(655\) | −3.34110 | − | 10.3921i | −0.130548 | − | 0.406052i | ||||
\(656\) | 1.20856 | + | 0.697761i | 0.0471863 | + | 0.0272430i | ||||
\(657\) | 0.194817 | − | 0.710816i | 0.00760052 | − | 0.0277316i | ||||
\(658\) | 9.42982 | + | 9.42982i | 0.367613 | + | 0.367613i | ||||
\(659\) | 9.22808 | − | 15.9835i | 0.359475 | − | 0.622629i | −0.628398 | − | 0.777892i | \(-0.716289\pi\) |
0.987873 | + | 0.155263i | \(0.0496224\pi\) | |||||||
\(660\) | −2.61604 | + | 2.87090i | −0.101829 | + | 0.111750i | ||||
\(661\) | −12.0330 | + | 20.8418i | −0.468030 | + | 0.810652i | −0.999333 | − | 0.0365302i | \(-0.988369\pi\) |
0.531302 | + | 0.847182i | \(0.321703\pi\) | |||||||
\(662\) | 1.26309 | − | 4.71391i | 0.0490913 | − | 0.183211i | ||||
\(663\) | 8.68398 | + | 0.0247769i | 0.337258 | + | 0.000962257i | ||||
\(664\) | 8.27700i | 0.321210i | ||||||||
\(665\) | −12.3619 | + | 33.3368i | −0.479374 | + | 1.29275i | ||||
\(666\) | −8.85416 | − | 15.5400i | −0.343092 | − | 0.602162i | ||||
\(667\) | 13.9195 | + | 3.72971i | 0.538963 | + | 0.144415i | ||||
\(668\) | −18.5062 | − | 4.95873i | −0.716027 | − | 0.191859i | ||||
\(669\) | 15.5258 | + | 4.20765i | 0.600264 | + | 0.162677i | ||||
\(670\) | −7.26126 | + | 33.6496i | −0.280527 | + | 1.30000i | ||||
\(671\) | 0.795520 | + | 0.459294i | 0.0307107 | + | 0.0177308i | ||||
\(672\) | 5.46277 | + | 3.17474i | 0.210731 | + | 0.122468i | ||||
\(673\) | 11.1013 | + | 11.1013i | 0.427923 | + | 0.427923i | 0.887920 | − | 0.459997i | \(-0.152150\pi\) |
−0.459997 | + | 0.887920i | \(0.652150\pi\) | |||||||
\(674\) | 2.06622 | − | 3.57879i | 0.0795877 | − | 0.137850i | ||||
\(675\) | 10.9161 | − | 23.5762i | 0.420161 | − | 0.907450i | ||||
\(676\) | 11.3134 | 0.435129 | ||||||||
\(677\) | −21.7544 | − | 21.7544i | −0.836089 | − | 0.836089i | 0.152253 | − | 0.988342i | \(-0.451347\pi\) |
−0.988342 | + | 0.152253i | \(0.951347\pi\) | |||||||
\(678\) | 8.38190 | − | 4.80746i | 0.321905 | − | 0.184629i | ||||
\(679\) | −27.7269 | + | 16.0081i | −1.06406 | + | 0.614336i | ||||
\(680\) | 8.21815 | − | 2.64217i | 0.315151 | − | 0.101323i | ||||
\(681\) | −27.4578 | + | 27.3015i | −1.05218 | + | 1.04620i | ||||
\(682\) | −2.08830 | − | 0.559559i | −0.0799653 | − | 0.0214266i | ||||
\(683\) | −13.0263 | + | 13.0263i | −0.498438 | + | 0.498438i | −0.910951 | − | 0.412513i | \(-0.864651\pi\) |
0.412513 | + | 0.910951i | \(0.364651\pi\) | |||||||
\(684\) | −1.48134 | − | 12.9925i | −0.0566405 | − | 0.496782i | ||||
\(685\) | 1.07556 | + | 21.8131i | 0.0410951 | + | 0.833438i | ||||
\(686\) | −2.18949 | + | 1.26410i | −0.0835951 | + | 0.0482637i | ||||
\(687\) | −2.20738 | − | 0.00629805i | −0.0842169 | − | 0.000240286i | ||||
\(688\) | −5.49714 | + | 1.47295i | −0.209577 | + | 0.0561559i | ||||
\(689\) | −2.16086 | − | 3.74273i | −0.0823223 | − | 0.142586i | ||||
\(690\) | −19.1535 | − | 4.19037i | −0.729162 | − | 0.159525i | ||||
\(691\) | 27.7036 | 1.05390 | 0.526948 | − | 0.849898i | \(-0.323336\pi\) | ||||
0.526948 | + | 0.849898i | \(0.323336\pi\) | |||||||
\(692\) | −9.06281 | − | 9.06281i | −0.344516 | − | 0.344516i | ||||
\(693\) | −7.71596 | − | 7.80453i | −0.293105 | − | 0.296470i | ||||
\(694\) | −9.20841 | − | 5.31648i | −0.349547 | − | 0.201811i | ||||
\(695\) | 17.9938 | − | 19.8603i | 0.682545 | − | 0.753345i | ||||
\(696\) | 4.76604 | − | 1.26249i | 0.180656 | − | 0.0478546i | ||||
\(697\) | 1.39438 | + | 5.20390i | 0.0528160 | + | 0.197112i | ||||
\(698\) | 4.36740 | + | 1.17024i | 0.165308 | + | 0.0442943i | ||||
\(699\) | 11.6569 | − | 43.0127i | 0.440903 | − | 1.62689i | ||||
\(700\) | 17.9968 | + | 2.96460i | 0.680215 | + | 0.112051i | ||||
\(701\) | −8.89766 | + | 5.13707i | −0.336060 | + | 0.194024i | −0.658528 | − | 0.752556i | \(-0.728821\pi\) |
0.322468 | + | 0.946580i | \(0.395487\pi\) | |||||||
\(702\) | −6.74804 | − | 0.0577613i | −0.254688 | − | 0.00218006i | ||||
\(703\) | −25.7232 | − | 3.69237i | −0.970170 | − | 0.139260i | ||||
\(704\) | 1.00285 | 0.0377964 | ||||||||
\(705\) | −14.1435 | + | 0.656940i | −0.532675 | + | 0.0247418i | ||||
\(706\) | −12.6460 | − | 21.9035i | −0.475939 | − | 0.824351i | ||||
\(707\) | −44.4608 | + | 11.9132i | −1.67212 | + | 0.448044i | ||||
\(708\) | 22.4331 | + | 0.0640056i | 0.843087 | + | 0.00240548i | ||||
\(709\) | −24.4919 | − | 14.1404i | −0.919813 | − | 0.531054i | −0.0362378 | − | 0.999343i | \(-0.511537\pi\) |
−0.883575 | + | 0.468289i | \(0.844871\pi\) | |||||||
\(710\) | 28.5450 | − | 1.40749i | 1.07127 | − | 0.0528223i | ||||
\(711\) | −38.4669 | + | 21.9171i | −1.44262 | + | 0.821957i | ||||
\(712\) | 2.65296 | + | 9.90097i | 0.0994238 | + | 0.371055i | ||||
\(713\) | −2.82465 | − | 10.5417i | −0.105784 | − | 0.394791i | ||||
\(714\) | 6.24588 | + | 23.5788i | 0.233746 | + | 0.882415i | ||||
\(715\) | 2.90875 | − | 0.143425i | 0.108781 | − | 0.00536377i | ||||
\(716\) | −21.2983 | − | 12.2966i | −0.795953 | − | 0.459544i | ||||
\(717\) | −0.0183790 | + | 6.44159i | −0.000686376 | + | 0.240566i | ||||
\(718\) | −25.8935 | + | 6.93813i | −0.966335 | + | 0.258929i | ||||
\(719\) | −3.33293 | − | 5.77281i | −0.124297 | − | 0.215289i | 0.797161 | − | 0.603767i | \(-0.206334\pi\) |
−0.921458 | + | 0.388478i | \(0.873001\pi\) | |||||||
\(720\) | −6.39787 | + | 2.01674i | −0.238435 | + | 0.0751594i | ||||
\(721\) | 59.0742 | 2.20004 | ||||||||
\(722\) | −16.2283 | − | 9.88139i | −0.603955 | − | 0.367747i | ||||
\(723\) | −24.5508 | − | 14.2679i | −0.913053 | − | 0.530630i | ||||
\(724\) | 18.6118 | − | 10.7455i | 0.691702 | − | 0.399354i | ||||
\(725\) | 11.5662 | − | 8.29451i | 0.429556 | − | 0.308051i | ||||
\(726\) | 16.7079 | + | 4.52800i | 0.620089 | + | 0.168050i | ||||
\(727\) | −2.36732 | − | 0.634322i | −0.0877991 | − | 0.0235257i | 0.214652 | − | 0.976691i | \(-0.431138\pi\) |
−0.302451 | + | 0.953165i | \(0.597805\pi\) | |||||||
\(728\) | −1.22616 | − | 4.57609i | −0.0454445 | − | 0.169601i | ||||
\(729\) | −26.9960 | − | 0.462191i | −0.999853 | − | 0.0171182i | ||||
\(730\) | −0.368847 | + | 0.407108i | −0.0136516 | + | 0.0150677i | ||||
\(731\) | −19.0271 | − | 10.9853i | −0.703742 | − | 0.406306i | ||||
\(732\) | 0.789334 | + | 1.37622i | 0.0291746 | + | 0.0508665i | ||||
\(733\) | −7.33673 | − | 7.33673i | −0.270988 | − | 0.270988i | 0.558510 | − | 0.829498i | \(-0.311373\pi\) |
−0.829498 | + | 0.558510i | \(0.811373\pi\) | |||||||
\(734\) | −19.1993 | −0.708658 | ||||||||
\(735\) | −5.22054 | + | 23.8623i | −0.192563 | + | 0.880173i | ||||
\(736\) | 2.53119 | + | 4.38416i | 0.0933011 | + | 0.161602i | ||||
\(737\) | −14.9128 | + | 3.99587i | −0.549320 | + | 0.147190i | ||||
\(738\) | −1.06047 | − | 4.05003i | −0.0390365 | − | 0.149084i | ||||
\(739\) | 16.0448 | − | 9.26344i | 0.590216 | − | 0.340761i | −0.174967 | − | 0.984574i | \(-0.555982\pi\) |
0.765183 | + | 0.643813i | \(0.222649\pi\) | |||||||
\(740\) | 0.656526 | + | 13.3148i | 0.0241344 | + | 0.489462i | ||||
\(741\) | −6.08126 | + | 7.69136i | −0.223401 | + | 0.282549i | ||||
\(742\) | 8.58361 | − | 8.58361i | 0.315114 | − | 0.315114i | ||||
\(743\) | −22.1069 | − | 5.92353i | −0.811024 | − | 0.217313i | −0.170606 | − | 0.985339i | \(-0.554572\pi\) |
−0.640419 | + | 0.768026i | \(0.721239\pi\) | |||||||
\(744\) | −2.63279 | − | 2.64785i | −0.0965227 | − | 0.0970750i | ||||
\(745\) | −35.0983 | + | 11.2843i | −1.28590 | + | 0.413424i | ||||
\(746\) | 17.4528 | − | 10.0764i | 0.638994 | − | 0.368923i | ||||
\(747\) | 17.6581 | − | 17.4577i | 0.646075 | − | 0.638744i | ||||
\(748\) | 2.73760 | + | 2.73760i | 0.100097 | + | 0.100097i | ||||
\(749\) | 46.5103 | 1.69945 | ||||||||
\(750\) | −15.1961 | + | 12.0033i | −0.554882 | + | 0.438299i | ||||
\(751\) | 9.50744 | − | 16.4674i | 0.346931 | − | 0.600903i | −0.638771 | − | 0.769397i | \(-0.720557\pi\) |
0.985703 | + | 0.168494i | \(0.0538903\pi\) | |||||||
\(752\) | 2.58502 | + | 2.58502i | 0.0942661 | + | 0.0942661i | ||||
\(753\) | −7.84804 | + | 13.5041i | −0.285999 | + | 0.492116i | ||||
\(754\) | −3.20159 | − | 1.84844i | −0.116595 | − | 0.0673161i | ||||
\(755\) | −1.86123 | + | 8.62520i | −0.0677372 | + | 0.313903i | ||||
\(756\) | −4.74899 | − | 18.3503i | −0.172719 | − | 0.667395i | ||||
\(757\) | 22.0388 | + | 5.90528i | 0.801013 | + | 0.214631i | 0.636029 | − | 0.771665i | \(-0.280576\pi\) |
0.164985 | + | 0.986296i | \(0.447243\pi\) | |||||||
\(758\) | −18.8838 | − | 5.05990i | −0.685890 | − | 0.183784i | ||||
\(759\) | −2.25164 | − | 8.50016i | −0.0817293 | − | 0.308536i | ||||
\(760\) | −3.38880 | + | 9.13871i | −0.122925 | + | 0.331496i | ||||
\(761\) | 28.5250i | 1.03403i | 0.855976 | + | 0.517015i | \(0.172957\pi\) | ||||
−0.855976 | + | 0.517015i | \(0.827043\pi\) | |||||||
\(762\) | 0.0457762 | − | 16.0439i | 0.00165830 | − | 0.581211i | ||||
\(763\) | 6.17321 | − | 23.0387i | 0.223485 | − | 0.834058i | ||||
\(764\) | 6.20352 | − | 10.7448i | 0.224435 | − | 0.388734i | ||||
\(765\) | −22.9703 | − | 11.9597i | −0.830495 | − | 0.432404i | ||||
\(766\) | −4.90690 | + | 8.49899i | −0.177293 | + | 0.307081i | ||||
\(767\) | −11.8940 | − | 11.8940i | −0.429466 | − | 0.429466i | ||||
\(768\) | 1.49752 | + | 0.870302i | 0.0540372 | + | 0.0314043i | ||||
\(769\) | −30.7535 | − | 17.7555i | −1.10900 | − | 0.640281i | −0.170429 | − | 0.985370i | \(-0.554515\pi\) |
−0.938570 | + | 0.345089i | \(0.887849\pi\) | |||||||
\(770\) | 2.50374 | + | 7.78756i | 0.0902285 | + | 0.280644i | ||||
\(771\) | −9.57539 | − | 36.1481i | −0.344849 | − | 1.30184i | ||||
\(772\) | 0.177150 | − | 0.177150i | 0.00637576 | − | 0.00637576i | ||||
\(773\) | 3.38083 | + | 12.6174i | 0.121600 | + | 0.453817i | 0.999696 | − | 0.0246677i | \(-0.00785277\pi\) |
−0.878096 | + | 0.478485i | \(0.841186\pi\) | |||||||
\(774\) | 14.7369 | + | 8.62082i | 0.529705 | + | 0.309869i | ||||
\(775\) | −9.81991 | − | 4.44507i | −0.352741 | − | 0.159671i | ||||
\(776\) | −7.60086 | + | 4.38836i | −0.272855 | + | 0.157533i | ||||
\(777\) | −37.6682 | − | 0.107474i | −1.35134 | − | 0.00385561i | ||||
\(778\) | −22.0517 | − | 22.0517i | −0.790592 | − | 0.790592i | ||||
\(779\) | −5.59236 | − | 2.39326i | −0.200367 | − | 0.0857474i | ||||
\(780\) | 4.46800 | + | 2.31012i | 0.159980 | + | 0.0827155i | ||||
\(781\) | 6.40883 | + | 11.1004i | 0.229326 | + | 0.397204i | ||||
\(782\) | −5.05825 | + | 18.8776i | −0.180883 | + | 0.675063i | ||||
\(783\) | −12.7458 | − | 7.50499i | −0.455498 | − | 0.268207i | ||||
\(784\) | 5.46197 | − | 3.15347i | 0.195070 | − | 0.112624i | ||||
\(785\) | −3.66960 | + | 7.14727i | −0.130974 | + | 0.255097i | ||||
\(786\) | 8.17356 | − | 2.16512i | 0.291541 | − | 0.0772273i | ||||
\(787\) | 10.7682 | − | 10.7682i | 0.383844 | − | 0.383844i | −0.488641 | − | 0.872485i | \(-0.662507\pi\) |
0.872485 | + | 0.488641i | \(0.162507\pi\) | |||||||
\(788\) | 1.07613 | + | 4.01619i | 0.0383357 | + | 0.143071i | ||||
\(789\) | 8.55624 | − | 31.5717i | 0.304610 | − | 1.12398i | ||||
\(790\) | 32.9588 | − | 1.62513i | 1.17262 | − | 0.0578195i | ||||
\(791\) | − | 20.3506i | − | 0.723584i | ||||||
\(792\) | −2.11520 | − | 2.13948i | −0.0751603 | − | 0.0760230i | ||||
\(793\) | 0.307887 | − | 1.14905i | 0.0109334 | − | 0.0408040i | ||||
\(794\) | 5.45921 | − | 9.45563i | 0.193740 | − | 0.335568i | ||||
\(795\) | 0.597988 | + | 12.8743i | 0.0212084 | + | 0.456604i | ||||
\(796\) | −9.32111 | − | 16.1446i | −0.330378 | − | 0.572231i | ||||
\(797\) | 21.1984 | + | 21.1984i | 0.750886 | + | 0.750886i | 0.974645 | − | 0.223759i | \(-0.0718328\pi\) |
−0.223759 | + | 0.974645i | \(0.571833\pi\) | |||||||
\(798\) | −25.2886 | − | 10.9078i | −0.895208 | − | 0.386131i | ||||
\(799\) | 14.1133i | 0.499292i | ||||||||
\(800\) | 4.93351 | + | 0.812695i | 0.174426 | + | 0.0287331i | ||||
\(801\) | 15.5271 | − | 26.5427i | 0.548622 | − | 0.937842i | ||||
\(802\) | −2.32285 | − | 8.66899i | −0.0820226 | − | 0.306113i | ||||
\(803\) | −0.237982 | − | 0.0637672i | −0.00839822 | − | 0.00225030i | ||||
\(804\) | −25.7365 | − | 6.97483i | −0.907655 | − | 0.245983i | ||||
\(805\) | −27.7254 | + | 30.6013i | −0.977191 | + | 1.07856i | ||||
\(806\) | 2.79978i | 0.0986182i | ||||||||
\(807\) | −2.75233 | + | 1.57861i | −0.0968867 | + | 0.0555696i | ||||
\(808\) | −12.1882 | + | 3.26581i | −0.428778 | + | 0.114891i | ||||
\(809\) | −12.4578 | −0.437993 | −0.218996 | − | 0.975726i | \(-0.570278\pi\) | ||||
−0.218996 | + | 0.975726i | \(0.570278\pi\) | |||||||
\(810\) | 17.7968 | + | 9.39550i | 0.625314 | + | 0.330124i | ||||
\(811\) | 25.9752 | − | 44.9905i | 0.912114 | − | 1.57983i | 0.101042 | − | 0.994882i | \(-0.467782\pi\) |
0.811072 | − | 0.584946i | \(-0.198884\pi\) | |||||||
\(812\) | 2.68756 | − | 10.0301i | 0.0943148 | − | 0.351988i | ||||
\(813\) | −47.7148 | + | 27.3670i | −1.67343 | + | 0.959801i | ||||
\(814\) | −5.17780 | + | 2.98940i | −0.181482 | + | 0.104779i | ||||
\(815\) | 43.2032 | − | 27.8670i | 1.51334 | − | 0.976137i | ||||
\(816\) | 1.71220 | + | 6.46373i | 0.0599390 | + | 0.226276i | ||||
\(817\) | 23.0277 | − | 9.22506i | 0.805636 | − | 0.322744i | ||||
\(818\) | 20.5777 | − | 20.5777i | 0.719482 | − | 0.719482i | ||||
\(819\) | −7.17639 | + | 12.2677i | −0.250763 | + | 0.428667i | ||||
\(820\) | −0.658219 | + | 3.05027i | −0.0229860 | + | 0.106520i | ||||
\(821\) | 23.1639 | + | 13.3737i | 0.808425 | + | 0.466744i | 0.846409 | − | 0.532534i | \(-0.178760\pi\) |
−0.0379838 | + | 0.999278i | \(0.512094\pi\) | |||||||
\(822\) | −16.9169 | − | 0.0482668i | −0.590043 | − | 0.00168350i | ||||
\(823\) | −8.37100 | + | 2.24300i | −0.291795 | + | 0.0781862i | −0.401747 | − | 0.915751i | \(-0.631597\pi\) |
0.109952 | + | 0.993937i | \(0.464930\pi\) | |||||||
\(824\) | 16.1942 | 0.564151 | ||||||||
\(825\) | −7.90186 | − | 3.60405i | −0.275107 | − | 0.125477i | ||||
\(826\) | 23.6232 | − | 40.9166i | 0.821957 | − | 1.42367i | ||||
\(827\) | 35.8851 | − | 9.61539i | 1.24785 | − | 0.334360i | 0.426343 | − | 0.904562i | \(-0.359802\pi\) |
0.821505 | + | 0.570202i | \(0.193135\pi\) | |||||||
\(828\) | 4.01437 | − | 14.6470i | 0.139509 | − | 0.509019i | ||||
\(829\) | − | 32.7355i | − | 1.13695i | −0.822700 | − | 0.568476i | \(-0.807533\pi\) | ||
0.822700 | − | 0.568476i | \(-0.192467\pi\) | |||||||
\(830\) | −17.6197 | + | 5.66482i | −0.611589 | + | 0.196629i | ||||
\(831\) | −4.33290 | − | 4.35769i | −0.150307 | − | 0.151167i | ||||
\(832\) | −0.336130 | − | 1.25446i | −0.0116532 | − | 0.0434904i | ||||
\(833\) | 23.5186 | + | 6.30178i | 0.814870 | + | 0.218344i | ||||
\(834\) | 14.6367 | + | 14.7205i | 0.506828 | + | 0.509729i | ||||
\(835\) | −2.10983 | − | 42.7889i | −0.0730138 | − | 1.48077i | ||||
\(836\) | −4.34030 | + | 0.519964i | −0.150112 | + | 0.0179833i | ||||
\(837\) | −0.0958822 | + | 11.2016i | −0.00331417 | + | 0.387183i | ||||
\(838\) | 4.18349 | − | 15.6130i | 0.144516 | − | 0.539342i | ||||
\(839\) | −9.31491 | − | 16.1339i | −0.321586 | − | 0.557004i | 0.659229 | − | 0.751942i | \(-0.270883\pi\) |
−0.980816 | + | 0.194938i | \(0.937549\pi\) | |||||||
\(840\) | −3.01951 | + | 13.8017i | −0.104183 | + | 0.476204i | ||||
\(841\) | 10.4485 | + | 18.0973i | 0.360293 | + | 0.624046i | ||||
\(842\) | 16.5355 | − | 4.43068i | 0.569852 | − | 0.152691i | ||||
\(843\) | −4.58564 | + | 7.89049i | −0.157938 | + | 0.271763i | ||||
\(844\) | 22.1285i | 0.761694i | ||||||||
\(845\) | 7.74291 | + | 24.0833i | 0.266364 | + | 0.828492i | ||||
\(846\) | 0.0625829 | − | 10.9671i | 0.00215164 | − | 0.377058i | ||||
\(847\) | 25.7796 | − | 25.7796i | 0.885797 | − | 0.885797i | ||||
\(848\) | 2.35305 | − | 2.35305i | 0.0808040 | − | 0.0808040i | ||||
\(849\) | 5.36636 | + | 1.45433i | 0.184173 | + | 0.0499126i | ||||
\(850\) | 11.2491 | + | 15.6861i | 0.385840 | + | 0.538028i | ||||
\(851\) | −26.1375 | − | 15.0905i | −0.895981 | − | 0.517295i | ||||
\(852\) | −0.0631625 | + | 22.1376i | −0.00216391 | + | 0.758422i | ||||
\(853\) | 5.15658 | − | 19.2446i | 0.176558 | − | 0.658923i | −0.819723 | − | 0.572760i | \(-0.805873\pi\) |
0.996281 | − | 0.0861632i | \(-0.0274607\pi\) | |||||||
\(854\) | 3.34135 | 0.114339 | ||||||||
\(855\) | 26.6440 | − | 12.0455i | 0.911207 | − | 0.411949i | ||||
\(856\) | 12.7500 | 0.435786 | ||||||||
\(857\) | −8.41685 | + | 31.4121i | −0.287514 | + | 1.07302i | 0.659469 | + | 0.751732i | \(0.270781\pi\) |
−0.946983 | + | 0.321285i | \(0.895885\pi\) | |||||||
\(858\) | −0.00643630 | + | 2.25584i | −0.000219732 | + | 0.0770130i | ||||
\(859\) | 22.3849 | + | 12.9239i | 0.763764 | + | 0.440959i | 0.830645 | − | 0.556802i | \(-0.187972\pi\) |
−0.0668818 | + | 0.997761i | \(0.521305\pi\) | |||||||
\(860\) | −6.89782 | − | 10.6940i | −0.235214 | − | 0.364661i | ||||
\(861\) | −8.51033 | − | 2.30638i | −0.290031 | − | 0.0786013i | ||||
\(862\) | −20.1613 | + | 20.1613i | −0.686697 | + | 0.686697i | ||||
\(863\) | −33.4722 | + | 33.4722i | −1.13941 | + | 1.13941i | −0.150850 | + | 0.988557i | \(0.548201\pi\) |
−0.988557 | + | 0.150850i | \(0.951799\pi\) | |||||||
\(864\) | −1.30185 | − | 5.03043i | −0.0442900 | − | 0.171139i | ||||
\(865\) | 13.0899 | − | 25.4951i | 0.445068 | − | 0.866859i | ||||
\(866\) | 24.7328i | 0.840455i | ||||||||
\(867\) | 1.82433 | − | 3.13911i | 0.0619574 | − | 0.106610i | ||||
\(868\) | −7.59619 | + | 2.03539i | −0.257831 | + | 0.0690857i | ||||
\(869\) | 7.39982 | + | 12.8169i | 0.251022 | + | 0.434782i | ||||
\(870\) | 5.94943 | + | 9.28166i | 0.201705 | + | 0.314678i | ||||
\(871\) | 9.99678 | + | 17.3149i | 0.338728 | + | 0.586694i | ||||
\(872\) | 1.69228 | − | 6.31567i | 0.0573078 | − | 0.213876i | ||||
\(873\) | 25.3937 | + | 6.95976i | 0.859446 | + | 0.235552i | ||||
\(874\) | −13.2280 | − | 17.6620i | −0.447444 | − | 0.597427i | ||||
\(875\) | 6.00618 | + | 40.3397i | 0.203046 | + | 1.36373i | ||||
\(876\) | −0.300032 | − | 0.301749i | −0.0101371 | − | 0.0101951i | ||||
\(877\) | −5.21808 | − | 1.39818i | −0.176202 | − | 0.0472132i | 0.169639 | − | 0.985506i | \(-0.445740\pi\) |
−0.345841 | + | 0.938293i | \(0.612406\pi\) | |||||||
\(878\) | −5.38072 | − | 20.0811i | −0.181591 | − | 0.677705i | ||||
\(879\) | −1.28767 | − | 1.29504i | −0.0434321 | − | 0.0436807i | ||||
\(880\) | 0.686357 | + | 2.13483i | 0.0231371 | + | 0.0719650i | ||||
\(881\) | − | 0.534352i | − | 0.0180028i | −0.999959 | − | 0.00900140i | \(-0.997135\pi\) | ||
0.999959 | − | 0.00900140i | \(-0.00286527\pi\) | |||||||
\(882\) | −18.2479 | − | 5.00127i | −0.614437 | − | 0.168402i | ||||
\(883\) | −7.67669 | + | 2.05696i | −0.258341 | + | 0.0692223i | −0.385665 | − | 0.922639i | \(-0.626028\pi\) |
0.127324 | + | 0.991861i | \(0.459361\pi\) | |||||||
\(884\) | 2.50686 | − | 4.34201i | 0.0843148 | − | 0.146038i | ||||
\(885\) | 15.2171 | + | 47.7983i | 0.511516 | + | 1.60672i | ||||
\(886\) | 24.5972 | 0.826361 | ||||||||
\(887\) | −27.4644 | + | 7.35907i | −0.922165 | + | 0.247093i | −0.688511 | − | 0.725226i | \(-0.741735\pi\) |
−0.233655 | + | 0.972320i | \(0.575068\pi\) | |||||||
\(888\) | −10.3261 | − | 0.0294622i | −0.346521 | − | 0.000988686i | ||||
\(889\) | −29.2632 | − | 16.8951i | −0.981457 | − | 0.566644i | ||||
\(890\) | −19.2610 | + | 12.4238i | −0.645631 | + | 0.416445i | ||||
\(891\) | −0.103005 | + | 9.02509i | −0.00345079 | + | 0.302352i | ||||
\(892\) | 6.56704 | − | 6.56704i | 0.219881 | − | 0.219881i | ||||
\(893\) | −12.5282 | − | 9.84756i | −0.419239 | − | 0.329536i | ||||
\(894\) | −7.31252 | − | 27.6055i | −0.244567 | − | 0.923266i | ||||
\(895\) | 11.5997 | − | 53.7546i | 0.387735 | − | 1.79682i | ||||
\(896\) | 3.15915 | − | 1.82393i | 0.105540 | − | 0.0609333i | ||||
\(897\) | −9.87806 | + | 5.66558i | −0.329819 | + | 0.189168i | ||||
\(898\) | 4.27087 | − | 15.9391i | 0.142521 | − | 0.531895i | ||||
\(899\) | −3.06835 | + | 5.31455i | −0.102335 | + | 0.177250i | ||||
\(900\) | −8.67187 | − | 12.2392i | −0.289062 | − | 0.407974i | ||||
\(901\) | 12.8468 | 0.427988 | ||||||||
\(902\) | −1.35182 | + | 0.362218i | −0.0450106 | + | 0.0120606i | ||||
\(903\) | 31.1915 | − | 17.8900i | 1.03799 | − | 0.595341i | ||||
\(904\) | − | 5.57876i | − | 0.185547i | ||||||
\(905\) | 35.6126 | + | 32.2656i | 1.18380 | + | 1.07255i | ||||
\(906\) | −6.59687 | − | 1.78781i | −0.219166 | − | 0.0593961i | ||||
\(907\) | −2.19022 | − | 0.586868i | −0.0727251 | − | 0.0194866i | 0.222273 | − | 0.974984i | \(-0.428652\pi\) |
−0.294998 | + | 0.955498i | \(0.595319\pi\) | |||||||
\(908\) | 5.78602 | + | 21.5937i | 0.192016 | + | 0.716613i | ||||
\(909\) | 32.6743 | + | 19.1139i | 1.08374 | + | 0.633969i | ||||
\(910\) | 8.90218 | − | 5.74209i | 0.295104 | − | 0.190348i | ||||
\(911\) | − | 31.6155i | − | 1.04747i | −0.851882 | − | 0.523734i | \(-0.824538\pi\) | ||
0.851882 | − | 0.523734i | \(-0.175462\pi\) | |||||||
\(912\) | −6.93245 | − | 2.99018i | −0.229556 | − | 0.0990148i | ||||
\(913\) | −5.86942 | − | 5.86942i | −0.194250 | − | 0.194250i | ||||
\(914\) | −10.1294 | − | 17.5446i | −0.335050 | − | 0.580323i | ||||
\(915\) | −2.38941 | + | 2.62219i | −0.0789914 | + | 0.0866869i | ||||
\(916\) | −0.637219 | + | 1.10370i | −0.0210543 | + | 0.0364671i | ||||
\(917\) | 4.60905 | − | 17.2012i | 0.152204 | − | 0.568034i | ||||
\(918\) | 10.1783 | − | 17.2860i | 0.335935 | − | 0.570522i | ||||
\(919\) | 36.2597i | 1.19610i | 0.801459 | + | 0.598049i | \(0.204057\pi\) | ||||
−0.801459 | + | 0.598049i | \(0.795943\pi\) | |||||||
\(920\) | −7.60043 | + | 8.38883i | −0.250579 | + | 0.276571i | ||||
\(921\) | −3.60183 | + | 13.2904i | −0.118684 | + | 0.437934i | ||||
\(922\) | −8.23492 | − | 30.7331i | −0.271203 | − | 1.01214i | ||||
\(923\) | 11.7373 | − | 11.7373i | 0.386338 | − | 0.386338i | ||||
\(924\) | −6.12507 | + | 1.62249i | −0.201500 | + | 0.0533760i | ||||
\(925\) | −27.8946 | + | 10.5103i | −0.917169 | + | 0.345576i | ||||
\(926\) | 25.8317 | − | 14.9139i | 0.848881 | − | 0.490102i | ||||
\(927\) | −34.1564 | − | 34.5485i | −1.12184 | − | 1.13472i | ||||
\(928\) | 0.736748 | − | 2.74958i | 0.0241849 | − | 0.0902594i | ||||
\(929\) | 5.85331 | + | 10.1382i | 0.192041 | + | 0.332625i | 0.945926 | − | 0.324381i | \(-0.105156\pi\) |
−0.753885 | + | 0.657006i | \(0.771823\pi\) | |||||||
\(930\) | 3.83474 | − | 7.41676i | 0.125746 | − | 0.243205i | ||||
\(931\) | −22.0041 | + | 16.4800i | −0.721155 | + | 0.540110i | ||||
\(932\) | −18.1933 | − | 18.1933i | −0.595941 | − | 0.595941i | ||||
\(933\) | −28.6273 | − | 0.0816786i | −0.937214 | − | 0.00267404i | ||||
\(934\) | 23.2802 | − | 13.4408i | 0.761752 | − | 0.439798i | ||||
\(935\) | −3.95406 | + | 7.70131i | −0.129311 | + | 0.251860i | ||||
\(936\) | −1.96728 | + | 3.36297i | −0.0643027 | + | 0.109922i | ||||
\(937\) | 5.78729 | + | 21.5985i | 0.189063 | + | 0.705591i | 0.993724 | + | 0.111858i | \(0.0356801\pi\) |
−0.804662 | + | 0.593734i | \(0.797653\pi\) | |||||||
\(938\) | −39.7102 | + | 39.7102i | −1.29658 | + | 1.29658i | ||||
\(939\) | −3.89716 | − | 14.7122i | −0.127179 | − | 0.480114i | ||||
\(940\) | −3.73367 | + | 7.27208i | −0.121779 | + | 0.237189i | ||||
\(941\) | −4.04535 | − | 2.33558i | −0.131875 | − | 0.0761378i | 0.432611 | − | 0.901581i | \(-0.357592\pi\) |
−0.564486 | + | 0.825443i | \(0.690926\pi\) | |||||||
\(942\) | −5.38065 | − | 3.12702i | −0.175311 | − | 0.101884i | ||||
\(943\) | −4.99548 | − | 4.99548i | −0.162675 | − | 0.162675i | ||||
\(944\) | 6.47590 | − | 11.2166i | 0.210773 | − | 0.365069i | ||||
\(945\) | 35.8131 | − | 22.6685i | 1.16500 | − | 0.737405i | ||||
\(946\) | 2.85365 | − | 4.94266i | 0.0927801 | − | 0.160700i | ||||
\(947\) | 1.35140 | − | 5.04348i | 0.0439145 | − | 0.163891i | −0.940486 | − | 0.339832i | \(-0.889630\pi\) |
0.984401 | + | 0.175940i | \(0.0562966\pi\) | |||||||
\(948\) | −0.0729292 | + | 25.5607i | −0.00236863 | + | 0.830172i | ||||
\(949\) | 0.319062i | 0.0103572i | ||||||||
\(950\) | −21.7734 | − | 0.959354i | −0.706421 | − | 0.0311255i | ||||
\(951\) | −8.24126 | − | 31.1116i | −0.267241 | − | 1.00886i | ||||
\(952\) | 13.6029 | + | 3.64488i | 0.440872 | + | 0.118131i | ||||
\(953\) | 7.95313 | + | 2.13103i | 0.257627 | + | 0.0690310i | 0.385321 | − | 0.922783i | \(-0.374091\pi\) |
−0.127694 | + | 0.991814i | \(0.540757\pi\) | |||||||
\(954\) | −9.98297 | − | 0.0569668i | −0.323211 | − | 0.00184437i | ||||
\(955\) | 27.1188 | + | 5.85196i | 0.877543 | + | 0.189365i | ||||
\(956\) | 3.22081 | + | 1.85953i | 0.104168 | + | 0.0601416i | ||||
\(957\) | −2.48445 | + | 4.27497i | −0.0803108 | + | 0.138190i | ||||
\(958\) | −21.8223 | − | 21.8223i | −0.705047 | − | 0.705047i | ||||
\(959\) | −17.8143 | + | 30.8553i | −0.575255 | + | 0.996371i | ||||
\(960\) | −0.827746 | + | 3.78350i | −0.0267154 | + | 0.122112i | ||||
\(961\) | −26.3524 | −0.850079 | ||||||||
\(962\) | 5.47487 | + | 5.47487i | 0.176517 | + | 0.176517i | ||||
\(963\) | −26.8920 | − | 27.2007i | −0.866584 | − | 0.876531i | ||||
\(964\) | −14.1978 | + | 8.19712i | −0.457281 | + | 0.264012i | ||||
\(965\) | 0.498350 | + | 0.255866i | 0.0160425 | + | 0.00823662i | ||||
\(966\) | −22.5526 | − | 22.6817i | −0.725620 | − | 0.729772i | ||||
\(967\) | −0.0575755 | − | 0.0154273i | −0.00185150 | − | 0.000496108i | 0.257893 | − | 0.966173i | \(-0.416972\pi\) |
−0.259745 | + | 0.965677i | \(0.583638\pi\) | |||||||
\(968\) | 7.06703 | − | 7.06703i | 0.227143 | − | 0.227143i | ||||
\(969\) | −10.7617 | − | 27.0870i | −0.345714 | − | 0.870158i | ||||
\(970\) | −14.5438 | − | 13.1769i | −0.466973 | − | 0.423086i | ||||
\(971\) | −4.55713 | + | 2.63106i | −0.146245 | + | 0.0844348i | −0.571337 | − | 0.820715i | \(-0.693575\pi\) |
0.425092 | + | 0.905150i | \(0.360242\pi\) | |||||||
\(972\) | −7.98602 | + | 13.3874i | −0.256152 | + | 0.429402i | ||||
\(973\) | 42.2303 | − | 11.3156i | 1.35384 | − | 0.362760i | ||||
\(974\) | −16.1053 | − | 27.8952i | −0.516047 | − | 0.893820i | ||||
\(975\) | −1.85976 | + | 11.0923i | −0.0595598 | + | 0.355239i | ||||
\(976\) | 0.915975 | 0.0293196 | ||||||||
\(977\) | 15.9346 | + | 15.9346i | 0.509793 | + | 0.509793i | 0.914463 | − | 0.404670i | \(-0.132614\pi\) |
−0.404670 | + | 0.914463i | \(0.632614\pi\) | |||||||
\(978\) | 19.8129 | + | 34.5442i | 0.633547 | + | 1.10460i | ||||
\(979\) | −8.90230 | − | 5.13974i | −0.284519 | − | 0.164267i | ||||
\(980\) | 10.4512 | + | 9.46893i | 0.333850 | + | 0.302474i | ||||
\(981\) | −17.0431 | + | 9.71060i | −0.544145 | + | 0.310035i | ||||
\(982\) | −9.36787 | − | 34.9614i | −0.298941 | − | 1.11566i | ||||
\(983\) | 47.4634 | + | 12.7178i | 1.51385 | + | 0.405634i | 0.917711 | − | 0.397249i | \(-0.130035\pi\) |
0.596136 | + | 0.802883i | \(0.296702\pi\) | |||||||
\(984\) | −2.33296 | − | 0.632255i | −0.0743721 | − | 0.0201555i | ||||
\(985\) | −7.81296 | + | 5.03952i | −0.248942 | + | 0.160572i | ||||
\(986\) | 9.51704 | − | 5.49467i | 0.303084 | − | 0.174986i | ||||
\(987\) | −19.9706 | − | 11.6061i | −0.635672 | − | 0.369428i | ||||
\(988\) | 2.10517 | + | 5.25495i | 0.0669745 | + | 0.167182i | ||||
\(989\) | 28.8104 | 0.916116 | ||||||||
\(990\) | 3.10677 | − | 5.96700i | 0.0987396 | − | 0.189644i | ||||
\(991\) | 2.36265 | + | 4.09223i | 0.0750520 | + | 0.129994i | 0.901109 | − | 0.433593i | \(-0.142754\pi\) |
−0.826057 | + | 0.563587i | \(0.809421\pi\) | |||||||
\(992\) | −2.08236 | + | 0.557968i | −0.0661151 | + | 0.0177155i | ||||
\(993\) | −0.0241171 | + | 8.45272i | −0.000765333 | + | 0.268239i | ||||
\(994\) | 40.3777 | + | 23.3121i | 1.28070 | + | 0.739414i | ||||
\(995\) | 27.9885 | − | 30.8918i | 0.887296 | − | 0.979336i | ||||
\(996\) | −3.67095 | − | 13.8582i | −0.116319 | − | 0.439115i | ||||
\(997\) | −1.50043 | − | 5.59967i | −0.0475190 | − | 0.177343i | 0.938088 | − | 0.346398i | \(-0.112595\pi\) |
−0.985607 | + | 0.169054i | \(0.945929\pi\) | |||||||
\(998\) | −1.48758 | − | 5.55172i | −0.0470884 | − | 0.175736i | ||||
\(999\) | 21.7167 | + | 22.0917i | 0.687087 | + | 0.698952i |
(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 | 570.2.v.c.83.11 | ✓ | 144 | |
3.2 | odd | 2 | inner | 570.2.v.c.83.30 | yes | 144 | |
5.2 | odd | 4 | inner | 570.2.v.c.197.1 | yes | 144 | |
15.2 | even | 4 | inner | 570.2.v.c.197.21 | yes | 144 | |
19.11 | even | 3 | inner | 570.2.v.c.353.21 | yes | 144 | |
57.11 | odd | 6 | inner | 570.2.v.c.353.1 | yes | 144 | |
95.87 | odd | 12 | inner | 570.2.v.c.467.30 | yes | 144 | |
285.182 | even | 12 | inner | 570.2.v.c.467.11 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.v.c.83.11 | ✓ | 144 | 1.1 | even | 1 | trivial | |
570.2.v.c.83.30 | yes | 144 | 3.2 | odd | 2 | inner | |
570.2.v.c.197.1 | yes | 144 | 5.2 | odd | 4 | inner | |
570.2.v.c.197.21 | yes | 144 | 15.2 | even | 4 | inner | |
570.2.v.c.353.1 | yes | 144 | 57.11 | odd | 6 | inner | |
570.2.v.c.353.21 | yes | 144 | 19.11 | even | 3 | inner | |
570.2.v.c.467.11 | yes | 144 | 285.182 | even | 12 | inner | |
570.2.v.c.467.30 | yes | 144 | 95.87 | odd | 12 | inner |