Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(36,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 47]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.36");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.bg (of order \(78\), degree \(24\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(1440\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 621.8 | ||
Character | \(\chi\) | \(=\) | 845.621 |
Dual form | 845.2.bg.a.381.8 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{17}{78}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.81669 | − | 1.48328i | −1.28460 | − | 1.04884i | −0.995810 | − | 0.0914470i | \(-0.970851\pi\) |
−0.288786 | − | 0.957394i | \(-0.593252\pi\) | |||||||
\(3\) | 2.31724 | + | 0.187067i | 1.33786 | + | 0.108003i | 0.728585 | − | 0.684956i | \(-0.240178\pi\) |
0.609275 | + | 0.792959i | \(0.291461\pi\) | |||||||
\(4\) | 0.700192 | + | 3.42977i | 0.350096 | + | 1.71488i | ||||
\(5\) | 0.992709 | − | 0.120537i | 0.443953 | − | 0.0539056i | ||||
\(6\) | −3.93224 | − | 3.77697i | −1.60533 | − | 1.54194i | ||||
\(7\) | −1.01235 | − | 1.60091i | −0.382634 | − | 0.605087i | 0.597868 | − | 0.801594i | \(-0.296015\pi\) |
−0.980502 | + | 0.196507i | \(0.937040\pi\) | |||||||
\(8\) | 1.63544 | − | 3.11607i | 0.578215 | − | 1.10170i | ||||
\(9\) | 2.37346 | + | 0.385725i | 0.791154 | + | 0.128575i | ||||
\(10\) | −1.98224 | − | 1.25349i | −0.626839 | − | 0.396389i | ||||
\(11\) | −0.802936 | − | 4.94067i | −0.242094 | − | 1.48967i | −0.768729 | − | 0.639575i | \(-0.779110\pi\) |
0.526634 | − | 0.850092i | \(-0.323454\pi\) | |||||||
\(12\) | 0.980917 | + | 8.07858i | 0.283166 | + | 2.33208i | ||||
\(13\) | 1.52988 | − | 3.26488i | 0.424313 | − | 0.905515i | ||||
\(14\) | −0.535468 | + | 4.40997i | −0.143110 | + | 1.17862i | ||||
\(15\) | 2.32289 | − | 0.0936094i | 0.599769 | − | 0.0241699i | ||||
\(16\) | −1.15232 | + | 0.490956i | −0.288079 | + | 0.122739i | ||||
\(17\) | −0.255210 | + | 0.161385i | −0.0618976 | + | 0.0391417i | −0.565056 | − | 0.825052i | \(-0.691146\pi\) |
0.503159 | + | 0.864194i | \(0.332171\pi\) | |||||||
\(18\) | −3.73971 | − | 4.22126i | −0.881459 | − | 0.994961i | ||||
\(19\) | −2.60166 | − | 1.50207i | −0.596861 | − | 0.344598i | 0.170945 | − | 0.985281i | \(-0.445318\pi\) |
−0.767806 | + | 0.640683i | \(0.778651\pi\) | |||||||
\(20\) | 1.10850 | + | 3.32036i | 0.247868 | + | 0.742455i | ||||
\(21\) | −2.04639 | − | 3.89908i | −0.446559 | − | 0.850848i | ||||
\(22\) | −5.86972 | + | 10.1667i | −1.25143 | + | 2.16754i | ||||
\(23\) | 3.17393 | + | 5.49741i | 0.661810 | + | 1.14629i | 0.980140 | + | 0.198309i | \(0.0635449\pi\) |
−0.318329 | + | 0.947980i | \(0.603122\pi\) | |||||||
\(24\) | 4.37262 | − | 6.91475i | 0.892557 | − | 1.41147i | ||||
\(25\) | 0.970942 | − | 0.239316i | 0.194188 | − | 0.0478631i | ||||
\(26\) | −7.62208 | + | 3.66204i | −1.49481 | + | 0.718185i | ||||
\(27\) | −1.34395 | − | 0.331254i | −0.258643 | − | 0.0637499i | ||||
\(28\) | 4.78191 | − | 4.59308i | 0.903696 | − | 0.868011i | ||||
\(29\) | 4.15866 | − | 5.09343i | 0.772244 | − | 0.945827i | −0.227365 | − | 0.973810i | \(-0.573011\pi\) |
0.999608 | + | 0.0279829i | \(0.00890838\pi\) | |||||||
\(30\) | −4.35884 | − | 3.27545i | −0.795811 | − | 0.598013i | ||||
\(31\) | −1.77546 | + | 7.20334i | −0.318883 | + | 1.29376i | 0.564627 | + | 0.825346i | \(0.309020\pi\) |
−0.883510 | + | 0.468412i | \(0.844826\pi\) | |||||||
\(32\) | −3.93882 | − | 1.14089i | −0.696291 | − | 0.201683i | ||||
\(33\) | −0.936362 | − | 11.5989i | −0.163000 | − | 2.01911i | ||||
\(34\) | 0.703019 | + | 0.0853620i | 0.120567 | + | 0.0146395i | ||||
\(35\) | −1.19794 | − | 1.46721i | −0.202489 | − | 0.248004i | ||||
\(36\) | 0.338932 | + | 8.41050i | 0.0564886 | + | 1.40175i | ||||
\(37\) | −9.84499 | + | 2.85163i | −1.61851 | + | 0.468806i | −0.959120 | − | 0.282999i | \(-0.908671\pi\) |
−0.659385 | + | 0.751805i | \(0.729183\pi\) | |||||||
\(38\) | 2.49842 | + | 6.58779i | 0.405297 | + | 1.06868i | ||||
\(39\) | 4.15586 | − | 7.27933i | 0.665470 | − | 1.16563i | ||||
\(40\) | 1.24791 | − | 3.29048i | 0.197313 | − | 0.520270i | ||||
\(41\) | 0.182813 | − | 2.26454i | 0.0285506 | − | 0.353662i | −0.966671 | − | 0.256021i | \(-0.917588\pi\) |
0.995222 | − | 0.0976409i | \(-0.0311296\pi\) | |||||||
\(42\) | −2.06577 | + | 10.1188i | −0.318755 | + | 1.56137i | ||||
\(43\) | −0.792581 | + | 2.73631i | −0.120868 | + | 0.417283i | −0.998018 | − | 0.0629330i | \(-0.979955\pi\) |
0.877150 | + | 0.480216i | \(0.159442\pi\) | |||||||
\(44\) | 16.3831 | − | 6.21330i | 2.46985 | − | 0.936690i | ||||
\(45\) | 2.40265 | + | 0.0968235i | 0.358166 | + | 0.0144336i | ||||
\(46\) | 2.38816 | − | 14.6950i | 0.352115 | − | 2.16665i | ||||
\(47\) | 6.85935 | − | 7.74261i | 1.00054 | − | 1.12938i | 0.00894913 | − | 0.999960i | \(-0.497151\pi\) |
0.991590 | − | 0.129416i | \(-0.0413102\pi\) | |||||||
\(48\) | −2.76203 | + | 0.922102i | −0.398665 | + | 0.133094i | ||||
\(49\) | 1.46279 | − | 3.08277i | 0.208971 | − | 0.440396i | ||||
\(50\) | −2.11888 | − | 1.00542i | −0.299654 | − | 0.142188i | ||||
\(51\) | −0.621574 | + | 0.326227i | −0.0870378 | + | 0.0456809i | ||||
\(52\) | 12.2690 | + | 2.96110i | 1.70140 | + | 0.410630i | ||||
\(53\) | −2.05213 | − | 1.07704i | −0.281882 | − | 0.147943i | 0.317857 | − | 0.948139i | \(-0.397037\pi\) |
−0.599739 | + | 0.800196i | \(0.704729\pi\) | |||||||
\(54\) | 1.95020 | + | 2.59525i | 0.265389 | + | 0.353169i | ||||
\(55\) | −1.39261 | − | 4.80786i | −0.187780 | − | 0.648292i | ||||
\(56\) | −6.64419 | + | 0.536375i | −0.887868 | + | 0.0716761i | ||||
\(57\) | −5.74768 | − | 3.96734i | −0.761298 | − | 0.525486i | ||||
\(58\) | −15.1100 | + | 3.08473i | −1.98404 | + | 0.405045i | ||||
\(59\) | 2.32423 | − | 5.45517i | 0.302589 | − | 0.710202i | −0.697390 | − | 0.716692i | \(-0.745655\pi\) |
0.999979 | + | 0.00648941i | \(0.00206566\pi\) | |||||||
\(60\) | 1.94753 | + | 7.90144i | 0.251425 | + | 1.02007i | ||||
\(61\) | 0.380670 | − | 9.44624i | 0.0487398 | − | 1.20947i | −0.771039 | − | 0.636787i | \(-0.780263\pi\) |
0.819779 | − | 0.572680i | \(-0.194096\pi\) | |||||||
\(62\) | 13.9101 | − | 10.4527i | 1.76658 | − | 1.32750i | ||||
\(63\) | −1.78527 | − | 4.19019i | −0.224923 | − | 0.527915i | ||||
\(64\) | 6.88641 | + | 9.97669i | 0.860801 | + | 1.24709i | ||||
\(65\) | 1.12519 | − | 3.42548i | 0.139563 | − | 0.424879i | ||||
\(66\) | −15.5034 | + | 22.4606i | −1.90834 | + | 2.76471i | ||||
\(67\) | 6.08393 | + | 1.24204i | 0.743270 | + | 0.151740i | 0.556714 | − | 0.830705i | \(-0.312062\pi\) |
0.186557 | + | 0.982444i | \(0.440267\pi\) | |||||||
\(68\) | −0.732210 | − | 0.762311i | −0.0887935 | − | 0.0924438i | ||||
\(69\) | 6.32638 | + | 13.3326i | 0.761607 | + | 1.60505i | ||||
\(70\) | 4.44236i | 0.530964i | ||||||||
\(71\) | 11.7373 | − | 5.56942i | 1.39296 | − | 0.660969i | 0.423429 | − | 0.905929i | \(-0.360826\pi\) |
0.969533 | + | 0.244961i | \(0.0787751\pi\) | |||||||
\(72\) | 5.08360 | − | 6.76504i | 0.599108 | − | 0.797268i | ||||
\(73\) | −0.270775 | − | 0.102692i | −0.0316919 | − | 0.0120191i | 0.338708 | − | 0.940892i | \(-0.390010\pi\) |
−0.370400 | + | 0.928872i | \(0.620779\pi\) | |||||||
\(74\) | 22.1151 | + | 9.42237i | 2.57083 | + | 1.09533i | ||||
\(75\) | 2.29467 | − | 0.372921i | 0.264966 | − | 0.0430612i | ||||
\(76\) | 3.33008 | − | 9.97481i | 0.381986 | − | 1.14419i | ||||
\(77\) | −7.09671 | + | 6.28714i | −0.808745 | + | 0.716486i | ||||
\(78\) | −18.3472 | + | 7.05999i | −2.07742 | + | 0.799386i | ||||
\(79\) | −7.14938 | − | 6.33380i | −0.804368 | − | 0.712608i | 0.157082 | − | 0.987586i | \(-0.449791\pi\) |
−0.961451 | + | 0.274977i | \(0.911330\pi\) | |||||||
\(80\) | −1.08474 | + | 0.626272i | −0.121277 | + | 0.0700194i | ||||
\(81\) | −9.89485 | − | 3.30338i | −1.09943 | − | 0.367043i | ||||
\(82\) | −3.69108 | + | 3.84282i | −0.407611 | + | 0.424368i | ||||
\(83\) | 2.14560 | − | 1.48100i | 0.235510 | − | 0.162561i | −0.444465 | − | 0.895796i | \(-0.646606\pi\) |
0.679975 | + | 0.733236i | \(0.261991\pi\) | |||||||
\(84\) | 11.9400 | − | 9.74875i | 1.30277 | − | 1.06368i | ||||
\(85\) | −0.233897 | + | 0.190971i | −0.0253697 | + | 0.0207137i | ||||
\(86\) | 5.49860 | − | 3.79541i | 0.592929 | − | 0.409270i | ||||
\(87\) | 10.5894 | − | 11.0248i | 1.13531 | − | 1.18198i | ||||
\(88\) | −16.7086 | − | 5.57815i | −1.78114 | − | 0.594633i | ||||
\(89\) | 5.05753 | − | 2.91997i | 0.536097 | − | 0.309516i | −0.207399 | − | 0.978257i | \(-0.566500\pi\) |
0.743496 | + | 0.668741i | \(0.233166\pi\) | |||||||
\(90\) | −4.22126 | − | 3.73971i | −0.444960 | − | 0.394200i | ||||
\(91\) | −6.77557 | + | 0.856012i | −0.710273 | + | 0.0897344i | ||||
\(92\) | −16.6325 | + | 14.7351i | −1.73405 | + | 1.53624i | ||||
\(93\) | −5.46169 | + | 16.3598i | −0.566351 | + | 1.69643i | ||||
\(94\) | −23.9458 | + | 3.89158i | −2.46982 | + | 0.401386i | ||||
\(95\) | −2.76374 | − | 1.17752i | −0.283554 | − | 0.120811i | ||||
\(96\) | −8.91377 | − | 3.38055i | −0.909758 | − | 0.345026i | ||||
\(97\) | −7.67223 | + | 10.2099i | −0.778997 | + | 1.03666i | 0.219143 | + | 0.975693i | \(0.429674\pi\) |
−0.998140 | + | 0.0609640i | \(0.980583\pi\) | |||||||
\(98\) | −7.23008 | + | 3.43072i | −0.730348 | + | 0.346555i | ||||
\(99\) | − | 12.0362i | − | 1.20968i | ||||||
\(100\) | 1.50064 | + | 3.16254i | 0.150064 | + | 0.316254i | ||||
\(101\) | 9.92969 | + | 10.3379i | 0.988041 | + | 1.02866i | 0.999587 | + | 0.0287263i | \(0.00914513\pi\) |
−0.0115463 | + | 0.999933i | \(0.503675\pi\) | |||||||
\(102\) | 1.61310 | + | 0.329316i | 0.159720 | + | 0.0326072i | ||||
\(103\) | −4.40021 | + | 6.37480i | −0.433565 | + | 0.628128i | −0.977484 | − | 0.211010i | \(-0.932325\pi\) |
0.543919 | + | 0.839138i | \(0.316940\pi\) | |||||||
\(104\) | −7.67157 | − | 10.1067i | −0.752259 | − | 0.991047i | ||||
\(105\) | −2.50145 | − | 3.62398i | −0.244117 | − | 0.353664i | ||||
\(106\) | 2.13053 | + | 5.00055i | 0.206936 | + | 0.485696i | ||||
\(107\) | 1.42136 | − | 1.06808i | 0.137408 | − | 0.103256i | −0.529816 | − | 0.848113i | \(-0.677739\pi\) |
0.667224 | + | 0.744857i | \(0.267482\pi\) | |||||||
\(108\) | 0.195101 | − | 4.84138i | 0.0187736 | − | 0.465862i | ||||
\(109\) | −0.294253 | − | 1.19383i | −0.0281843 | − | 0.114348i | 0.955165 | − | 0.296074i | \(-0.0956777\pi\) |
−0.983349 | + | 0.181726i | \(0.941832\pi\) | |||||||
\(110\) | −4.60147 | + | 10.8001i | −0.438733 | + | 1.02974i | ||||
\(111\) | −23.3467 | + | 4.76625i | −2.21597 | + | 0.452393i | ||||
\(112\) | 1.95253 | + | 1.34773i | 0.184497 | + | 0.127349i | ||||
\(113\) | −14.6291 | + | 1.18098i | −1.37619 | + | 0.111098i | −0.746312 | − | 0.665596i | \(-0.768177\pi\) |
−0.629878 | + | 0.776694i | \(0.716895\pi\) | |||||||
\(114\) | 4.55708 | + | 15.7329i | 0.426810 | + | 1.47352i | ||||
\(115\) | 3.81343 | + | 5.07475i | 0.355604 | + | 0.473223i | ||||
\(116\) | 20.3811 | + | 10.6968i | 1.89234 | + | 0.993177i | ||||
\(117\) | 4.89047 | − | 7.15896i | 0.452124 | − | 0.661846i | ||||
\(118\) | −12.3140 | + | 6.46288i | −1.13359 | + | 0.594956i | ||||
\(119\) | 0.516727 | + | 0.245190i | 0.0473683 | + | 0.0224765i | ||||
\(120\) | 3.50726 | − | 7.39139i | 0.320167 | − | 0.674739i | ||||
\(121\) | −13.3316 | + | 4.45074i | −1.21196 | + | 0.404612i | ||||
\(122\) | −14.7030 | + | 16.5963i | −1.33115 | + | 1.50256i | ||||
\(123\) | 0.847242 | − | 5.21329i | 0.0763933 | − | 0.470067i | ||||
\(124\) | −25.9489 | − | 1.04571i | −2.33028 | − | 0.0939072i | ||||
\(125\) | 0.935016 | − | 0.354605i | 0.0836304 | − | 0.0317168i | ||||
\(126\) | −2.97195 | + | 10.2604i | −0.264762 | + | 0.914066i | ||||
\(127\) | 2.67549 | − | 13.1054i | 0.237411 | − | 1.16292i | −0.669898 | − | 0.742453i | \(-0.733662\pi\) |
0.907310 | − | 0.420463i | \(-0.138132\pi\) | |||||||
\(128\) | 1.62783 | − | 20.1642i | 0.143881 | − | 1.78228i | ||||
\(129\) | −2.34848 | + | 6.19242i | −0.206772 | + | 0.545212i | ||||
\(130\) | −7.12510 | + | 4.55408i | −0.624912 | + | 0.399419i | ||||
\(131\) | 4.53871 | + | 11.9676i | 0.396549 | + | 1.04561i | 0.973470 | + | 0.228814i | \(0.0734849\pi\) |
−0.576921 | + | 0.816800i | \(0.695746\pi\) | |||||||
\(132\) | 39.1259 | − | 11.3330i | 3.40548 | − | 0.986408i | ||||
\(133\) | 0.229124 | + | 5.68564i | 0.0198675 | + | 0.493008i | ||||
\(134\) | −9.21033 | − | 11.2806i | −0.795651 | − | 0.974496i | ||||
\(135\) | −1.37408 | − | 0.166844i | −0.118262 | − | 0.0143596i | ||||
\(136\) | 0.0855066 | + | 1.05919i | 0.00733213 | + | 0.0908247i | ||||
\(137\) | 15.1368 | + | 4.38442i | 1.29322 | + | 0.374586i | 0.852344 | − | 0.522981i | \(-0.175180\pi\) |
0.440877 | + | 0.897567i | \(0.354667\pi\) | |||||||
\(138\) | 8.28289 | − | 33.6050i | 0.705086 | − | 2.86065i | ||||
\(139\) | 13.1644 | + | 9.89239i | 1.11659 | + | 0.839061i | 0.988277 | − | 0.152673i | \(-0.0487880\pi\) |
0.128311 | + | 0.991734i | \(0.459044\pi\) | |||||||
\(140\) | 4.19341 | − | 5.13599i | 0.354408 | − | 0.434070i | ||||
\(141\) | 17.3432 | − | 16.6583i | 1.46056 | − | 1.40288i | ||||
\(142\) | −29.5841 | − | 7.29183i | −2.48264 | − | 0.611917i | ||||
\(143\) | −17.3591 | − | 4.93715i | −1.45164 | − | 0.412865i | ||||
\(144\) | −2.92435 | + | 0.720788i | −0.243696 | + | 0.0600656i | ||||
\(145\) | 3.51439 | − | 5.55757i | 0.291854 | − | 0.461531i | ||||
\(146\) | 0.339595 | + | 0.588196i | 0.0281051 | + | 0.0486794i | ||||
\(147\) | 3.96633 | − | 6.86989i | 0.327138 | − | 0.566619i | ||||
\(148\) | −16.6738 | − | 31.7693i | −1.37058 | − | 2.61142i | ||||
\(149\) | 5.21793 | + | 15.6296i | 0.427469 | + | 1.28043i | 0.913626 | + | 0.406555i | \(0.133270\pi\) |
−0.486157 | + | 0.873871i | \(0.661602\pi\) | |||||||
\(150\) | −4.72187 | − | 2.72617i | −0.385539 | − | 0.222591i | ||||
\(151\) | 9.91431 | + | 11.1909i | 0.806815 | + | 0.910706i | 0.997480 | − | 0.0709494i | \(-0.0226029\pi\) |
−0.190665 | + | 0.981655i | \(0.561064\pi\) | |||||||
\(152\) | −8.93539 | + | 5.65040i | −0.724756 | + | 0.458308i | ||||
\(153\) | −0.667983 | + | 0.284601i | −0.0540032 | + | 0.0230086i | ||||
\(154\) | 22.2182 | − | 0.895361i | 1.79039 | − | 0.0721503i | ||||
\(155\) | −0.894252 | + | 7.36483i | −0.0718281 | + | 0.591558i | ||||
\(156\) | 27.8763 | + | 9.15670i | 2.23189 | + | 0.733123i | ||||
\(157\) | 0.332677 | + | 2.73984i | 0.0265505 | + | 0.218663i | 0.999945 | − | 0.0104720i | \(-0.00333340\pi\) |
−0.973395 | + | 0.229135i | \(0.926410\pi\) | |||||||
\(158\) | 3.59341 | + | 22.1111i | 0.285876 | + | 1.75907i | ||||
\(159\) | −4.55380 | − | 2.87965i | −0.361140 | − | 0.228371i | ||||
\(160\) | −4.04762 | − | 0.657802i | −0.319992 | − | 0.0520038i | ||||
\(161\) | 5.58772 | − | 10.6465i | 0.440374 | − | 0.839063i | ||||
\(162\) | 13.0760 | + | 20.6781i | 1.02735 | + | 1.62463i | ||||
\(163\) | 11.1790 | + | 10.7376i | 0.875606 | + | 0.841031i | 0.988288 | − | 0.152600i | \(-0.0487646\pi\) |
−0.112682 | + | 0.993631i | \(0.535944\pi\) | |||||||
\(164\) | 7.89485 | − | 0.958609i | 0.616484 | − | 0.0748548i | ||||
\(165\) | −2.32763 | − | 11.4015i | −0.181206 | − | 0.887604i | ||||
\(166\) | −6.09463 | − | 0.492010i | −0.473035 | − | 0.0381874i | ||||
\(167\) | −1.41570 | − | 1.15588i | −0.109550 | − | 0.0894451i | 0.576087 | − | 0.817388i | \(-0.304579\pi\) |
−0.685637 | + | 0.727943i | \(0.740476\pi\) | |||||||
\(168\) | −15.4965 | −1.19558 | ||||||||
\(169\) | −8.31891 | − | 9.98978i | −0.639916 | − | 0.768445i | ||||
\(170\) | 0.708183 | 0.0543152 | ||||||||
\(171\) | −5.59555 | − | 4.56862i | −0.427902 | − | 0.349371i | ||||
\(172\) | −9.93985 | − | 0.802428i | −0.757907 | − | 0.0611846i | ||||
\(173\) | −1.81309 | − | 8.88111i | −0.137847 | − | 0.675218i | −0.988711 | − | 0.149833i | \(-0.952126\pi\) |
0.850865 | − | 0.525385i | \(-0.176079\pi\) | |||||||
\(174\) | −35.5906 | + | 4.32148i | −2.69812 | + | 0.327611i | ||||
\(175\) | −1.36606 | − | 1.31212i | −0.103264 | − | 0.0991869i | ||||
\(176\) | 3.35088 | + | 5.29900i | 0.252582 | + | 0.399427i | ||||
\(177\) | 6.40628 | − | 12.2062i | 0.481526 | − | 0.917471i | ||||
\(178\) | −13.5191 | − | 2.19707i | −1.01330 | − | 0.164677i | ||||
\(179\) | 21.8948 | + | 13.8454i | 1.63649 | + | 1.03486i | 0.952120 | + | 0.305725i | \(0.0988988\pi\) |
0.684374 | + | 0.729131i | \(0.260076\pi\) | |||||||
\(180\) | 1.35023 | + | 8.30832i | 0.100641 | + | 0.619266i | ||||
\(181\) | 0.0530603 | + | 0.436991i | 0.00394394 | + | 0.0324813i | 0.994548 | − | 0.104280i | \(-0.0332538\pi\) |
−0.990604 | + | 0.136761i | \(0.956331\pi\) | |||||||
\(182\) | 13.5788 | + | 8.49499i | 1.00653 | + | 0.629690i | ||||
\(183\) | 2.64918 | − | 21.8180i | 0.195833 | − | 1.61283i | ||||
\(184\) | 22.3211 | − | 0.899509i | 1.64553 | − | 0.0663127i | ||||
\(185\) | −9.42948 | + | 4.01753i | −0.693269 | + | 0.295374i | ||||
\(186\) | 34.1884 | − | 21.6194i | 2.50681 | − | 1.58521i | ||||
\(187\) | 1.00227 | + | 1.13133i | 0.0732931 | + | 0.0827309i | ||||
\(188\) | 31.3582 | + | 18.1047i | 2.28703 | + | 1.32042i | ||||
\(189\) | 0.830246 | + | 2.48689i | 0.0603915 | + | 0.180895i | ||||
\(190\) | 3.27427 | + | 6.23861i | 0.237541 | + | 0.452596i | ||||
\(191\) | 5.90420 | − | 10.2264i | 0.427213 | − | 0.739954i | −0.569412 | − | 0.822053i | \(-0.692829\pi\) |
0.996624 | + | 0.0820987i | \(0.0261623\pi\) | |||||||
\(192\) | 14.0912 | + | 24.4066i | 1.01694 | + | 1.76140i | ||||
\(193\) | −11.0885 | + | 17.5351i | −0.798167 | + | 1.26220i | 0.163107 | + | 0.986608i | \(0.447848\pi\) |
−0.961275 | + | 0.275593i | \(0.911126\pi\) | |||||||
\(194\) | 29.0823 | − | 7.16813i | 2.08798 | − | 0.514642i | ||||
\(195\) | 3.24813 | − | 7.72719i | 0.232604 | − | 0.553355i | ||||
\(196\) | 11.5974 | + | 2.85851i | 0.828388 | + | 0.204179i | ||||
\(197\) | −0.0384103 | + | 0.0368936i | −0.00273662 | + | 0.00262856i | −0.694091 | − | 0.719887i | \(-0.744194\pi\) |
0.691355 | + | 0.722515i | \(0.257014\pi\) | |||||||
\(198\) | −17.8531 | + | 21.8661i | −1.26876 | + | 1.55395i | ||||
\(199\) | 2.56298 | + | 1.92595i | 0.181685 | + | 0.136527i | 0.687693 | − | 0.726001i | \(-0.258623\pi\) |
−0.506009 | + | 0.862528i | \(0.668880\pi\) | |||||||
\(200\) | 0.842192 | − | 3.41691i | 0.0595520 | − | 0.241612i | ||||
\(201\) | 13.8656 | + | 4.01622i | 0.978003 | + | 0.283282i | ||||
\(202\) | −2.70515 | − | 33.5094i | −0.190334 | − | 2.35771i | ||||
\(203\) | −12.3642 | − | 1.50128i | −0.867795 | − | 0.105369i | ||||
\(204\) | −1.55410 | − | 1.90343i | −0.108809 | − | 0.133267i | ||||
\(205\) | −0.0914806 | − | 2.27007i | −0.00638928 | − | 0.158548i | ||||
\(206\) | 17.4495 | − | 5.05430i | 1.21576 | − | 0.352150i | ||||
\(207\) | 5.41271 | + | 14.2722i | 0.376210 | + | 0.991983i | ||||
\(208\) | −0.159996 | + | 4.51328i | −0.0110937 | + | 0.312940i | ||||
\(209\) | −5.33225 | + | 14.0600i | −0.368839 | + | 0.972549i | ||||
\(210\) | −0.831020 | + | 10.2940i | −0.0573458 | + | 0.710356i | ||||
\(211\) | 2.10369 | − | 10.3045i | 0.144824 | − | 0.709394i | −0.840923 | − | 0.541155i | \(-0.817987\pi\) |
0.985746 | − | 0.168238i | \(-0.0538078\pi\) | |||||||
\(212\) | 2.25711 | − | 7.79246i | 0.155019 | − | 0.535189i | ||||
\(213\) | 28.2400 | − | 10.7100i | 1.93497 | − | 0.733839i | ||||
\(214\) | −4.16645 | − | 0.167902i | −0.284813 | − | 0.0114776i | ||||
\(215\) | −0.456977 | + | 2.81189i | −0.0311656 | + | 0.191769i | ||||
\(216\) | −3.23016 | + | 3.64610i | −0.219785 | + | 0.248085i | ||||
\(217\) | 13.3293 | − | 4.44998i | 0.904853 | − | 0.302084i | ||||
\(218\) | −1.23622 | + | 2.60528i | −0.0837275 | + | 0.176452i | ||||
\(219\) | −0.608242 | − | 0.288614i | −0.0411012 | − | 0.0195027i | ||||
\(220\) | 15.5147 | − | 8.14276i | 1.04600 | − | 0.548985i | ||||
\(221\) | 0.136462 | + | 1.08013i | 0.00917941 | + | 0.0726576i | ||||
\(222\) | 49.4834 | + | 25.9709i | 3.32111 | + | 1.74305i | ||||
\(223\) | 8.55080 | + | 11.3790i | 0.572604 | + | 0.761997i | 0.989117 | − | 0.147133i | \(-0.0470044\pi\) |
−0.416513 | + | 0.909130i | \(0.636748\pi\) | |||||||
\(224\) | 2.16101 | + | 7.46069i | 0.144389 | + | 0.498488i | ||||
\(225\) | 2.39680 | − | 0.193490i | 0.159787 | − | 0.0128993i | ||||
\(226\) | 28.3283 | + | 19.5536i | 1.88437 | + | 1.30069i | ||||
\(227\) | −11.1015 | + | 2.26638i | −0.736829 | + | 0.150425i | −0.553761 | − | 0.832676i | \(-0.686808\pi\) |
−0.183068 | + | 0.983100i | \(0.558603\pi\) | |||||||
\(228\) | 9.58255 | − | 22.4911i | 0.634620 | − | 1.48951i | ||||
\(229\) | 0.321604 | + | 1.30480i | 0.0212522 | + | 0.0862235i | 0.980610 | − | 0.195968i | \(-0.0627848\pi\) |
−0.959358 | + | 0.282191i | \(0.908939\pi\) | |||||||
\(230\) | 0.599469 | − | 14.8757i | 0.0395278 | − | 0.980873i | ||||
\(231\) | −17.6209 | + | 13.2413i | −1.15937 | + | 0.871210i | ||||
\(232\) | −9.07025 | − | 21.2887i | −0.595491 | − | 1.39767i | ||||
\(233\) | 15.9051 | + | 23.0425i | 1.04198 | + | 1.50956i | 0.849023 | + | 0.528356i | \(0.177191\pi\) |
0.192954 | + | 0.981208i | \(0.438193\pi\) | |||||||
\(234\) | −19.5033 | + | 5.75168i | −1.27497 | + | 0.375999i | ||||
\(235\) | 5.87607 | − | 8.51296i | 0.383313 | − | 0.555324i | ||||
\(236\) | 20.3374 | + | 4.15190i | 1.32385 | + | 0.270266i | ||||
\(237\) | −15.3820 | − | 16.0144i | −0.999168 | − | 1.04024i | ||||
\(238\) | −0.575048 | − | 1.21189i | −0.0372748 | − | 0.0785550i | ||||
\(239\) | 14.2985i | 0.924890i | 0.886648 | + | 0.462445i | \(0.153028\pi\) | ||||
−0.886648 | + | 0.462445i | \(0.846972\pi\) | |||||||
\(240\) | −2.63075 | + | 1.24831i | −0.169814 | + | 0.0805778i | ||||
\(241\) | 3.71099 | − | 4.93843i | 0.239046 | − | 0.318112i | −0.663937 | − | 0.747788i | \(-0.731116\pi\) |
0.902983 | + | 0.429676i | \(0.141372\pi\) | |||||||
\(242\) | 30.8211 | + | 11.6889i | 1.98126 | + | 0.751391i | ||||
\(243\) | −18.4906 | − | 7.87809i | −1.18617 | − | 0.505380i | ||||
\(244\) | 32.6649 | − | 5.30857i | 2.09116 | − | 0.339846i | ||||
\(245\) | 1.08054 | − | 3.23662i | 0.0690333 | − | 0.206780i | ||||
\(246\) | −9.27198 | + | 8.21425i | −0.591160 | + | 0.523722i | ||||
\(247\) | −8.88430 | + | 6.19611i | −0.565295 | + | 0.394249i | ||||
\(248\) | 19.5424 | + | 17.3131i | 1.24095 | + | 1.09938i | ||||
\(249\) | 5.24891 | − | 3.03046i | 0.332636 | − | 0.192048i | ||||
\(250\) | −2.22462 | − | 0.742687i | −0.140697 | − | 0.0469716i | ||||
\(251\) | −2.05027 | + | 2.13456i | −0.129412 | + | 0.134732i | −0.782755 | − | 0.622330i | \(-0.786186\pi\) |
0.653343 | + | 0.757062i | \(0.273366\pi\) | |||||||
\(252\) | 13.1213 | − | 9.05701i | 0.826567 | − | 0.570538i | ||||
\(253\) | 24.6124 | − | 20.0954i | 1.54737 | − | 1.26339i | ||||
\(254\) | −24.2996 | + | 19.8400i | −1.52469 | + | 1.24487i | ||||
\(255\) | −0.577720 | + | 0.398771i | −0.0361782 | + | 0.0249720i | ||||
\(256\) | −16.0714 | + | 16.7321i | −1.00446 | + | 1.04575i | ||||
\(257\) | −12.5195 | − | 4.17962i | −0.780944 | − | 0.260718i | −0.101880 | − | 0.994797i | \(-0.532486\pi\) |
−0.679064 | + | 0.734079i | \(0.737614\pi\) | |||||||
\(258\) | 13.4516 | − | 7.76627i | 0.837459 | − | 0.483507i | ||||
\(259\) | 14.5318 | + | 12.8741i | 0.902964 | + | 0.799956i | ||||
\(260\) | 12.5365 | + | 1.46065i | 0.777478 | + | 0.0905854i | ||||
\(261\) | 11.8351 | − | 10.4850i | 0.732573 | − | 0.649003i | ||||
\(262\) | 9.50591 | − | 28.4737i | 0.587277 | − | 1.75911i | ||||
\(263\) | −0.255054 | + | 0.0414502i | −0.0157273 | + | 0.00255593i | −0.168270 | − | 0.985741i | \(-0.553818\pi\) |
0.152543 | + | 0.988297i | \(0.451254\pi\) | |||||||
\(264\) | −37.6744 | − | 16.0516i | −2.31870 | − | 0.987905i | ||||
\(265\) | −2.16699 | − | 0.821832i | −0.133117 | − | 0.0504847i | ||||
\(266\) | 8.01718 | − | 10.6689i | 0.491565 | − | 0.654154i | ||||
\(267\) | 12.2657 | − | 5.82017i | 0.750652 | − | 0.356189i | ||||
\(268\) | 21.7361i | 1.32774i | ||||||||
\(269\) | 4.11034 | + | 8.66235i | 0.250612 | + | 0.528153i | 0.989300 | − | 0.145894i | \(-0.0466058\pi\) |
−0.738689 | + | 0.674047i | \(0.764555\pi\) | |||||||
\(270\) | 2.24881 | + | 2.34125i | 0.136858 | + | 0.142484i | ||||
\(271\) | −7.03854 | − | 1.43693i | −0.427561 | − | 0.0872871i | −0.0185739 | − | 0.999827i | \(-0.505913\pi\) |
−0.408987 | + | 0.912540i | \(0.634118\pi\) | |||||||
\(272\) | 0.214850 | − | 0.311264i | 0.0130272 | − | 0.0188731i | ||||
\(273\) | −15.8608 | + | 0.716100i | −0.959937 | + | 0.0433403i | ||||
\(274\) | −20.9955 | − | 30.4173i | −1.26839 | − | 1.83758i | ||||
\(275\) | −1.96198 | − | 4.60494i | −0.118312 | − | 0.277689i | ||||
\(276\) | −41.2979 | + | 31.0333i | −2.48584 | + | 1.86799i | ||||
\(277\) | 0.480365 | − | 11.9201i | 0.0288624 | − | 0.716212i | −0.918381 | − | 0.395697i | \(-0.870503\pi\) |
0.947243 | − | 0.320515i | \(-0.103856\pi\) | |||||||
\(278\) | −9.24241 | − | 37.4979i | −0.554323 | − | 2.24898i | ||||
\(279\) | −6.99251 | + | 16.4120i | −0.418630 | + | 0.982562i | ||||
\(280\) | −6.53110 | + | 1.33333i | −0.390308 | + | 0.0796819i | ||||
\(281\) | −7.06684 | − | 4.87789i | −0.421572 | − | 0.290990i | 0.338330 | − | 0.941027i | \(-0.390138\pi\) |
−0.759902 | + | 0.650037i | \(0.774753\pi\) | |||||||
\(282\) | −56.2163 | + | 4.53825i | −3.34763 | + | 0.270249i | ||||
\(283\) | 4.84208 | + | 16.7168i | 0.287832 | + | 0.993711i | 0.965944 | + | 0.258752i | \(0.0833114\pi\) |
−0.678112 | + | 0.734959i | \(0.737201\pi\) | |||||||
\(284\) | 27.3202 | + | 36.3565i | 1.62115 | + | 2.15736i | ||||
\(285\) | −6.18398 | − | 3.24560i | −0.366307 | − | 0.192253i | ||||
\(286\) | 24.2130 | + | 34.7178i | 1.43174 | + | 2.05290i | ||||
\(287\) | −3.81040 | + | 1.99985i | −0.224921 | + | 0.118048i | ||||
\(288\) | −8.90856 | − | 4.22717i | −0.524942 | − | 0.249088i | ||||
\(289\) | −7.24869 | + | 15.2763i | −0.426393 | + | 0.898605i | ||||
\(290\) | −14.6280 | + | 4.88355i | −0.858987 | + | 0.286772i | ||||
\(291\) | −19.6883 | + | 22.2235i | −1.15415 | + | 1.30277i | ||||
\(292\) | 0.162613 | − | 1.00060i | 0.00951622 | − | 0.0585557i | ||||
\(293\) | −22.7768 | − | 0.917874i | −1.33064 | − | 0.0536228i | −0.635276 | − | 0.772285i | \(-0.719114\pi\) |
−0.695359 | + | 0.718662i | \(0.744755\pi\) | |||||||
\(294\) | −17.3956 | + | 6.59728i | −1.01453 | + | 0.384761i | ||||
\(295\) | 1.64974 | − | 5.69555i | 0.0960513 | − | 0.331608i | ||||
\(296\) | −7.21498 | + | 35.3413i | −0.419362 | + | 2.05417i | ||||
\(297\) | −0.557509 | + | 6.90599i | −0.0323500 | + | 0.400726i | ||||
\(298\) | 13.7038 | − | 36.1339i | 0.793838 | − | 2.09318i | ||||
\(299\) | 22.8041 | − | 1.95211i | 1.31880 | − | 0.112894i | ||||
\(300\) | 2.88574 | + | 7.60908i | 0.166608 | + | 0.439310i | ||||
\(301\) | 5.18296 | − | 1.50126i | 0.298741 | − | 0.0865313i | ||||
\(302\) | −1.41191 | − | 35.0362i | −0.0812464 | − | 2.01611i | ||||
\(303\) | 21.0756 | + | 25.8129i | 1.21076 | + | 1.48291i | ||||
\(304\) | 3.73538 | + | 0.453557i | 0.214239 | + | 0.0260133i | ||||
\(305\) | −0.760723 | − | 9.42325i | −0.0435589 | − | 0.539574i | ||||
\(306\) | 1.63566 | + | 0.473776i | 0.0935047 | + | 0.0270840i | ||||
\(307\) | −5.38047 | + | 21.8294i | −0.307080 | + | 1.24587i | 0.591228 | + | 0.806504i | \(0.298643\pi\) |
−0.898308 | + | 0.439366i | \(0.855203\pi\) | |||||||
\(308\) | −26.5325 | − | 19.9379i | −1.51183 | − | 1.13606i | ||||
\(309\) | −11.3889 | + | 13.9488i | −0.647889 | + | 0.793520i | ||||
\(310\) | 12.5487 | − | 12.0532i | 0.712720 | − | 0.684576i | ||||
\(311\) | −29.6877 | − | 7.31737i | −1.68344 | − | 0.414930i | −0.722428 | − | 0.691446i | \(-0.756974\pi\) |
−0.961009 | + | 0.276516i | \(0.910820\pi\) | |||||||
\(312\) | −15.8862 | − | 24.8548i | −0.899381 | − | 1.40713i | ||||
\(313\) | −13.3124 | + | 3.28122i | −0.752463 | + | 0.185465i | −0.596850 | − | 0.802353i | \(-0.703581\pi\) |
−0.155613 | + | 0.987818i | \(0.549735\pi\) | |||||||
\(314\) | 3.45959 | − | 5.47090i | 0.195236 | − | 0.308741i | ||||
\(315\) | −2.27733 | − | 3.94445i | −0.128313 | − | 0.222245i | ||||
\(316\) | 16.7175 | − | 28.9556i | 0.940434 | − | 1.62888i | ||||
\(317\) | 1.28025 | + | 2.43931i | 0.0719059 | + | 0.137005i | 0.918755 | − | 0.394828i | \(-0.129196\pi\) |
−0.846849 | + | 0.531833i | \(0.821503\pi\) | |||||||
\(318\) | 4.00152 | + | 11.9860i | 0.224394 | + | 0.672143i | ||||
\(319\) | −28.5041 | − | 16.4568i | −1.59592 | − | 0.921407i | ||||
\(320\) | 8.03876 | + | 9.07388i | 0.449380 | + | 0.507245i | ||||
\(321\) | 3.49344 | − | 2.20912i | 0.194985 | − | 0.123301i | ||||
\(322\) | −25.9430 | + | 11.0533i | −1.44575 | + | 0.615975i | ||||
\(323\) | 0.906381 | − | 0.0365259i | 0.0504324 | − | 0.00203236i | ||||
\(324\) | 4.40155 | − | 36.2500i | 0.244530 | − | 2.01389i | ||||
\(325\) | 0.704090 | − | 3.53614i | 0.0390559 | − | 0.196150i | ||||
\(326\) | −4.38194 | − | 36.0885i | −0.242693 | − | 1.99876i | ||||
\(327\) | −0.458528 | − | 2.82144i | −0.0253567 | − | 0.156026i | ||||
\(328\) | −6.75749 | − | 4.27318i | −0.373120 | − | 0.235947i | ||||
\(329\) | −19.3393 | − | 3.14295i | −1.06621 | − | 0.173276i | ||||
\(330\) | −12.6831 | + | 24.1655i | −0.698179 | + | 1.33027i | ||||
\(331\) | −10.2349 | − | 16.1852i | −0.562561 | − | 0.889619i | 0.437393 | − | 0.899271i | \(-0.355902\pi\) |
−0.999953 | + | 0.00965195i | \(0.996928\pi\) | |||||||
\(332\) | 6.58181 | + | 6.32191i | 0.361224 | + | 0.346960i | ||||
\(333\) | −24.4666 | + | 2.97079i | −1.34076 | + | 0.162798i | ||||
\(334\) | 0.857391 | + | 4.19978i | 0.0469143 | + | 0.229802i | ||||
\(335\) | 6.18928 | + | 0.499650i | 0.338157 | + | 0.0272988i | ||||
\(336\) | 4.27236 | + | 3.48828i | 0.233076 | + | 0.190301i | ||||
\(337\) | 9.61965 | 0.524016 | 0.262008 | − | 0.965066i | \(-0.415615\pi\) | ||||
0.262008 | + | 0.965066i | \(0.415615\pi\) | |||||||
\(338\) | 0.295232 | + | 30.4877i | 0.0160585 | + | 1.65831i | ||||
\(339\) | −34.1201 | −1.85315 | ||||||||
\(340\) | −0.818758 | − | 0.668495i | −0.0444034 | − | 0.0362542i | ||||
\(341\) | 37.0149 | + | 2.98815i | 2.00447 | + | 0.161818i | ||||
\(342\) | 3.38883 | + | 16.5996i | 0.183247 | + | 0.897602i | ||||
\(343\) | −19.5784 | + | 2.37725i | −1.05714 | + | 0.128360i | ||||
\(344\) | 7.23030 | + | 6.94480i | 0.389832 | + | 0.374439i | ||||
\(345\) | 7.88732 | + | 12.4728i | 0.424639 | + | 0.671513i | ||||
\(346\) | −9.87938 | + | 18.8236i | −0.531119 | + | 1.01196i | ||||
\(347\) | 22.1051 | + | 3.59243i | 1.18667 | + | 0.192852i | 0.721527 | − | 0.692386i | \(-0.243440\pi\) |
0.465139 | + | 0.885238i | \(0.346005\pi\) | |||||||
\(348\) | 45.2270 | + | 28.5998i | 2.42442 | + | 1.53311i | ||||
\(349\) | −4.89645 | − | 30.1291i | −0.262101 | − | 1.61277i | −0.700269 | − | 0.713879i | \(-0.746936\pi\) |
0.438167 | − | 0.898893i | \(-0.355628\pi\) | |||||||
\(350\) | 0.535468 | + | 4.40997i | 0.0286220 | + | 0.235723i | ||||
\(351\) | −3.13759 | + | 3.88106i | −0.167472 | + | 0.207156i | ||||
\(352\) | −2.47415 | + | 20.3765i | −0.131873 | + | 1.08607i | ||||
\(353\) | 10.8435 | − | 0.436978i | 0.577141 | − | 0.0232580i | 0.250021 | − | 0.968241i | \(-0.419563\pi\) |
0.327121 | + | 0.944983i | \(0.393922\pi\) | |||||||
\(354\) | −29.7435 | + | 12.6725i | −1.58085 | + | 0.673536i | ||||
\(355\) | 10.9804 | − | 6.94359i | 0.582779 | − | 0.368527i | ||||
\(356\) | 13.5560 | + | 15.3016i | 0.718469 | + | 0.810984i | ||||
\(357\) | 1.15151 | + | 0.664827i | 0.0609446 | + | 0.0351864i | ||||
\(358\) | −19.2394 | − | 57.6291i | −1.01684 | − | 3.04579i | ||||
\(359\) | −1.72777 | − | 3.29199i | −0.0911883 | − | 0.173745i | 0.835590 | − | 0.549354i | \(-0.185126\pi\) |
−0.926778 | + | 0.375609i | \(0.877434\pi\) | |||||||
\(360\) | 4.23110 | − | 7.32847i | 0.222998 | − | 0.386245i | ||||
\(361\) | −4.98759 | − | 8.63876i | −0.262505 | − | 0.454672i | ||||
\(362\) | 0.551787 | − | 0.872582i | 0.0290013 | − | 0.0458619i | ||||
\(363\) | −31.7251 | + | 7.81953i | −1.66513 | + | 0.410419i | ||||
\(364\) | −7.68012 | − | 22.6392i | −0.402548 | − | 1.18662i | ||||
\(365\) | −0.281179 | − | 0.0693044i | −0.0147176 | − | 0.00362756i | ||||
\(366\) | −37.1751 | + | 35.7071i | −1.94317 | + | 1.86644i | ||||
\(367\) | 22.2058 | − | 27.1972i | 1.15914 | − | 1.41968i | 0.269506 | − | 0.962999i | \(-0.413139\pi\) |
0.889629 | − | 0.456684i | \(-0.150963\pi\) | |||||||
\(368\) | −6.35635 | − | 4.77649i | −0.331348 | − | 0.248992i | ||||
\(369\) | 1.30739 | − | 5.30429i | 0.0680600 | − | 0.276130i | ||||
\(370\) | 23.0896 | + | 6.68799i | 1.20037 | + | 0.347692i | ||||
\(371\) | 0.353237 | + | 4.37563i | 0.0183392 | + | 0.227171i | ||||
\(372\) | −59.9344 | − | 7.27735i | −3.10745 | − | 0.377313i | ||||
\(373\) | 19.6154 | + | 24.0245i | 1.01564 | + | 1.24394i | 0.969522 | + | 0.245003i | \(0.0787891\pi\) |
0.0461226 | + | 0.998936i | \(0.485314\pi\) | |||||||
\(374\) | −0.142735 | − | 3.54193i | −0.00738064 | − | 0.183149i | ||||
\(375\) | 2.23299 | − | 0.646794i | 0.115311 | − | 0.0334003i | ||||
\(376\) | −12.9084 | − | 34.0368i | −0.665702 | − | 1.75531i | ||||
\(377\) | −10.2672 | − | 21.3699i | −0.528787 | − | 1.10061i | ||||
\(378\) | 2.18046 | − | 5.74941i | 0.112151 | − | 0.295718i | ||||
\(379\) | 0.286715 | − | 3.55160i | 0.0147275 | − | 0.182433i | −0.985211 | − | 0.171346i | \(-0.945189\pi\) |
0.999939 | − | 0.0110877i | \(-0.00352941\pi\) | |||||||
\(380\) | 2.10347 | − | 10.3035i | 0.107906 | − | 0.528557i | ||||
\(381\) | 8.65134 | − | 29.8679i | 0.443221 | − | 1.53018i | ||||
\(382\) | −25.8947 | + | 9.82057i | −1.32489 | + | 0.502464i | ||||
\(383\) | 11.9812 | + | 0.482827i | 0.612212 | + | 0.0246713i | 0.344436 | − | 0.938810i | \(-0.388070\pi\) |
0.267776 | + | 0.963481i | \(0.413711\pi\) | |||||||
\(384\) | 7.54413 | − | 46.4209i | 0.384985 | − | 2.36891i | ||||
\(385\) | −6.28714 | + | 7.09671i | −0.320422 | + | 0.361682i | ||||
\(386\) | 46.1539 | − | 15.4084i | 2.34917 | − | 0.784268i | ||||
\(387\) | −2.93662 | + | 6.18880i | −0.149277 | + | 0.314595i | ||||
\(388\) | −40.3895 | − | 19.1651i | −2.05047 | − | 0.972959i | ||||
\(389\) | 16.3950 | − | 8.60478i | 0.831262 | − | 0.436280i | 0.00528642 | − | 0.999986i | \(-0.498317\pi\) |
0.825975 | + | 0.563706i | \(0.190625\pi\) | |||||||
\(390\) | −17.3625 | + | 9.22003i | −0.879183 | + | 0.466874i | ||||
\(391\) | −1.69722 | − | 0.890770i | −0.0858322 | − | 0.0450482i | ||||
\(392\) | −7.21382 | − | 9.59985i | −0.364353 | − | 0.484866i | ||||
\(393\) | 8.27855 | + | 28.5809i | 0.417598 | + | 1.44171i | ||||
\(394\) | 0.124503 | − | 0.0100510i | 0.00627239 | − | 0.000506360i | ||||
\(395\) | −7.86071 | − | 5.42586i | −0.395515 | − | 0.273005i | ||||
\(396\) | 41.2813 | − | 8.42765i | 2.07447 | − | 0.423505i | ||||
\(397\) | −14.4037 | + | 33.8068i | −0.722902 | + | 1.69671i | −0.00556861 | + | 0.999984i | \(0.501773\pi\) |
−0.717334 | + | 0.696730i | \(0.754638\pi\) | |||||||
\(398\) | −1.79941 | − | 7.30049i | −0.0901962 | − | 0.365940i | ||||
\(399\) | −0.532662 | + | 13.2179i | −0.0266665 | + | 0.661721i | ||||
\(400\) | −1.00134 | + | 0.752456i | −0.0500669 | + | 0.0376228i | ||||
\(401\) | 3.20522 | + | 7.52293i | 0.160061 | + | 0.375677i | 0.980630 | − | 0.195871i | \(-0.0627533\pi\) |
−0.820569 | + | 0.571548i | \(0.806343\pi\) | |||||||
\(402\) | −19.2323 | − | 27.8628i | −0.959221 | − | 1.38967i | ||||
\(403\) | 20.8018 | + | 16.8170i | 1.03621 | + | 0.837712i | ||||
\(404\) | −28.5039 | + | 41.2950i | −1.41812 | + | 2.05450i | ||||
\(405\) | −10.2209 | − | 2.08661i | −0.507880 | − | 0.103684i | ||||
\(406\) | 20.2351 | + | 21.0670i | 1.00425 | + | 1.04554i | ||||
\(407\) | 21.9939 | + | 46.3511i | 1.09020 | + | 2.29754i | ||||
\(408\) | 2.47039i | 0.122303i | ||||||||
\(409\) | 20.0976 | − | 9.53644i | 0.993764 | − | 0.471547i | 0.138848 | − | 0.990314i | \(-0.455660\pi\) |
0.854916 | + | 0.518767i | \(0.173609\pi\) | |||||||
\(410\) | −3.20096 | + | 4.25971i | −0.158084 | + | 0.210372i | ||||
\(411\) | 34.2554 | + | 12.9913i | 1.68969 | + | 0.640816i | ||||
\(412\) | −24.9451 | − | 10.6281i | −1.22895 | − | 0.523609i | ||||
\(413\) | −11.0862 | + | 1.80168i | −0.545516 | + | 0.0886549i | ||||
\(414\) | 11.3364 | − | 33.9567i | 0.557155 | − | 1.66888i | ||||
\(415\) | 1.95144 | − | 1.72882i | 0.0957923 | − | 0.0848646i | ||||
\(416\) | −9.75081 | + | 11.1143i | −0.478073 | + | 0.544926i | ||||
\(417\) | 28.6545 | + | 25.3857i | 1.40322 | + | 1.24314i | ||||
\(418\) | 30.5420 | − | 17.6334i | 1.49386 | − | 0.862480i | ||||
\(419\) | −2.58047 | − | 0.861487i | −0.126064 | − | 0.0420864i | 0.252936 | − | 0.967483i | \(-0.418604\pi\) |
−0.379000 | + | 0.925397i | \(0.623732\pi\) | |||||||
\(420\) | 10.6779 | − | 11.1169i | 0.521029 | − | 0.542448i | ||||
\(421\) | −22.8731 | + | 15.7881i | −1.11476 | + | 0.769467i | −0.975327 | − | 0.220764i | \(-0.929145\pi\) |
−0.139438 | + | 0.990231i | \(0.544529\pi\) | |||||||
\(422\) | −19.1063 | + | 15.5998i | −0.930081 | + | 0.759387i | ||||
\(423\) | 19.2669 | − | 15.7310i | 0.936790 | − | 0.764866i | ||||
\(424\) | −6.71227 | + | 4.63315i | −0.325977 | + | 0.225005i | ||||
\(425\) | −0.209172 | + | 0.217772i | −0.0101464 | + | 0.0105635i | ||||
\(426\) | −67.1895 | − | 22.4311i | −3.25534 | − | 1.08679i | ||||
\(427\) | −15.5080 | + | 8.95352i | −0.750483 | + | 0.433291i | ||||
\(428\) | 4.65850 | + | 4.12707i | 0.225177 | + | 0.199490i | ||||
\(429\) | −39.3016 | − | 14.6879i | −1.89750 | − | 0.709138i | ||||
\(430\) | 5.00102 | − | 4.43052i | 0.241171 | − | 0.213659i | ||||
\(431\) | 12.2869 | − | 36.8038i | 0.591840 | − | 1.77278i | −0.0417723 | − | 0.999127i | \(-0.513300\pi\) |
0.633612 | − | 0.773651i | \(-0.281571\pi\) | |||||||
\(432\) | 1.71129 | − | 0.278111i | 0.0823343 | − | 0.0133806i | ||||
\(433\) | 2.39967 | + | 1.02241i | 0.115321 | + | 0.0491337i | 0.448856 | − | 0.893604i | \(-0.351831\pi\) |
−0.333536 | + | 0.942738i | \(0.608242\pi\) | |||||||
\(434\) | −30.8159 | − | 11.6869i | −1.47921 | − | 0.560990i | ||||
\(435\) | 9.18333 | − | 12.2208i | 0.440307 | − | 0.585942i | ||||
\(436\) | 3.88852 | − | 1.84513i | 0.186226 | − | 0.0883655i | ||||
\(437\) | − | 19.0698i | − | 0.912233i | ||||||
\(438\) | 0.676892 | + | 1.42652i | 0.0323431 | + | 0.0681617i | ||||
\(439\) | −8.90466 | − | 9.27074i | −0.424996 | − | 0.442468i | 0.473934 | − | 0.880561i | \(-0.342834\pi\) |
−0.898930 | + | 0.438093i | \(0.855654\pi\) | |||||||
\(440\) | −17.2592 | − | 3.52348i | −0.822798 | − | 0.167975i | ||||
\(441\) | 4.66099 | − | 6.75261i | 0.221952 | − | 0.321553i | ||||
\(442\) | 1.35423 | − | 2.16468i | 0.0644144 | − | 0.102963i | ||||
\(443\) | −0.351673 | − | 0.509486i | −0.0167085 | − | 0.0242064i | 0.814541 | − | 0.580107i | \(-0.196989\pi\) |
−0.831249 | + | 0.555900i | \(0.812374\pi\) | |||||||
\(444\) | −32.6943 | − | 76.7363i | −1.55160 | − | 3.64174i | ||||
\(445\) | 4.66869 | − | 3.50829i | 0.221317 | − | 0.166309i | ||||
\(446\) | 1.34418 | − | 33.3555i | 0.0636488 | − | 1.57943i | ||||
\(447\) | 9.16741 | + | 37.1936i | 0.433604 | + | 1.75920i | ||||
\(448\) | 9.00030 | − | 21.1245i | 0.425224 | − | 0.998038i | ||||
\(449\) | 1.60580 | − | 0.327826i | 0.0757822 | − | 0.0154710i | −0.161985 | − | 0.986793i | \(-0.551790\pi\) |
0.237767 | + | 0.971322i | \(0.423584\pi\) | |||||||
\(450\) | −4.64126 | − | 3.20363i | −0.218791 | − | 0.151021i | ||||
\(451\) | −11.3351 | + | 0.915067i | −0.533751 | + | 0.0430888i | ||||
\(452\) | −14.2937 | − | 49.3475i | −0.672318 | − | 2.32111i | ||||
\(453\) | 20.8804 | + | 27.7867i | 0.981046 | + | 1.30554i | ||||
\(454\) | 23.5296 | + | 12.3493i | 1.10430 | + | 0.579581i | ||||
\(455\) | −6.62299 | + | 1.66648i | −0.310490 | + | 0.0781256i | ||||
\(456\) | −21.7625 | + | 11.4218i | −1.01912 | + | 0.534876i | ||||
\(457\) | 3.47987 | + | 1.65122i | 0.162781 | + | 0.0772407i | 0.508340 | − | 0.861156i | \(-0.330259\pi\) |
−0.345559 | + | 0.938397i | \(0.612311\pi\) | |||||||
\(458\) | 1.35113 | − | 2.84745i | 0.0631343 | − | 0.133053i | ||||
\(459\) | 0.396450 | − | 0.132354i | 0.0185047 | − | 0.00617777i | ||||
\(460\) | −14.7351 | + | 16.6325i | −0.687027 | + | 0.775493i | ||||
\(461\) | −1.66129 | + | 10.2223i | −0.0773741 | + | 0.476102i | 0.919227 | + | 0.393727i | \(0.128815\pi\) |
−0.996601 | + | 0.0823747i | \(0.973750\pi\) | |||||||
\(462\) | 51.6523 | + | 2.08152i | 2.40308 | + | 0.0968410i | ||||
\(463\) | 13.5021 | − | 5.12068i | 0.627497 | − | 0.237978i | −0.0202969 | − | 0.999794i | \(-0.506461\pi\) |
0.647794 | + | 0.761816i | \(0.275692\pi\) | |||||||
\(464\) | −2.29144 | + | 7.91096i | −0.106377 | + | 0.367257i | ||||
\(465\) | −3.44992 | + | 16.8988i | −0.159986 | + | 0.783663i | ||||
\(466\) | 5.28391 | − | 65.4529i | 0.244772 | − | 3.03205i | ||||
\(467\) | −4.89011 | + | 12.8942i | −0.226287 | + | 0.596670i | −0.999288 | − | 0.0377350i | \(-0.987986\pi\) |
0.773001 | + | 0.634405i | \(0.218755\pi\) | |||||||
\(468\) | 27.9778 | + | 11.7605i | 1.29328 | + | 0.543630i | ||||
\(469\) | −4.17069 | − | 10.9972i | −0.192585 | − | 0.507804i | ||||
\(470\) | −23.3022 | + | 6.74956i | −1.07485 | + | 0.311334i | ||||
\(471\) | 0.258358 | + | 6.41110i | 0.0119045 | + | 0.295408i | ||||
\(472\) | −13.1975 | − | 16.1641i | −0.607466 | − | 0.744011i | ||||
\(473\) | 14.1556 | + | 1.71880i | 0.650874 | + | 0.0790304i | ||||
\(474\) | 4.19053 | + | 51.9091i | 0.192478 | + | 2.38426i | ||||
\(475\) | −2.88552 | − | 0.835802i | −0.132397 | − | 0.0383492i | ||||
\(476\) | −0.479136 | + | 1.94393i | −0.0219612 | + | 0.0891000i | ||||
\(477\) | −4.45521 | − | 3.34788i | −0.203990 | − | 0.153289i | ||||
\(478\) | 21.2087 | − | 25.9759i | 0.970063 | − | 1.18811i | ||||
\(479\) | 11.1869 | − | 10.7452i | 0.511142 | − | 0.490959i | −0.392199 | − | 0.919880i | \(-0.628286\pi\) |
0.903342 | + | 0.428921i | \(0.141106\pi\) | |||||||
\(480\) | −9.25626 | − | 2.28146i | −0.422488 | − | 0.104134i | ||||
\(481\) | −5.75143 | + | 36.5054i | −0.262243 | + | 1.66450i | ||||
\(482\) | −14.0668 | + | 3.46716i | −0.640726 | + | 0.157925i | ||||
\(483\) | 14.9397 | − | 23.6253i | 0.679780 | − | 1.07499i | ||||
\(484\) | −24.5996 | − | 42.6078i | −1.11817 | − | 1.93672i | ||||
\(485\) | −6.38563 | + | 11.0602i | −0.289956 | + | 0.502219i | ||||
\(486\) | 21.9062 | + | 41.7388i | 0.993687 | + | 1.89331i | ||||
\(487\) | −8.30020 | − | 24.8621i | −0.376118 | − | 1.12661i | −0.951216 | − | 0.308526i | \(-0.900164\pi\) |
0.575098 | − | 0.818085i | \(-0.304964\pi\) | |||||||
\(488\) | −28.8126 | − | 16.6349i | −1.30428 | − | 0.753028i | ||||
\(489\) | 23.8958 | + | 26.9727i | 1.08060 | + | 1.21975i | ||||
\(490\) | −6.76384 | + | 4.27719i | −0.305559 | + | 0.193224i | ||||
\(491\) | 4.21799 | − | 1.79712i | 0.190355 | − | 0.0811027i | −0.294686 | − | 0.955594i | \(-0.595215\pi\) |
0.485041 | + | 0.874491i | \(0.338805\pi\) | |||||||
\(492\) | 18.4736 | − | 0.744461i | 0.832854 | − | 0.0335629i | ||||
\(493\) | −0.239328 | + | 1.97104i | −0.0107788 | + | 0.0887713i | ||||
\(494\) | 25.3307 | + | 1.92151i | 1.13968 | + | 0.0864527i | ||||
\(495\) | −1.45080 | − | 11.9484i | −0.0652088 | − | 0.537042i | ||||
\(496\) | −1.49063 | − | 9.17220i | −0.0669311 | − | 0.411844i | ||||
\(497\) | −20.7985 | − | 13.1522i | −0.932939 | − | 0.589955i | ||||
\(498\) | −14.0307 | − | 2.28021i | −0.628731 | − | 0.102179i | ||||
\(499\) | −16.0742 | + | 30.6268i | −0.719580 | + | 1.37105i | 0.200648 | + | 0.979663i | \(0.435695\pi\) |
−0.920228 | + | 0.391382i | \(0.871997\pi\) | |||||||
\(500\) | 1.87090 | + | 2.95860i | 0.0836693 | + | 0.132312i | ||||
\(501\) | −3.06430 | − | 2.94330i | −0.136903 | − | 0.131497i | ||||
\(502\) | 6.89088 | − | 0.836705i | 0.307555 | − | 0.0373440i | ||||
\(503\) | −2.77125 | − | 13.5745i | −0.123564 | − | 0.605256i | −0.993665 | − | 0.112383i | \(-0.964152\pi\) |
0.870101 | − | 0.492873i | \(-0.164053\pi\) | |||||||
\(504\) | −15.9766 | − | 1.28977i | −0.711656 | − | 0.0574508i | ||||
\(505\) | 11.1034 | + | 9.06563i | 0.494094 | + | 0.403415i | ||||
\(506\) | −74.5204 | −3.31284 | ||||||||
\(507\) | −17.4082 | − | 24.7049i | −0.773124 | − | 1.09718i | ||||
\(508\) | 46.8218 | 2.07738 | ||||||||
\(509\) | −9.40359 | − | 7.67779i | −0.416807 | − | 0.340312i | 0.400722 | − | 0.916200i | \(-0.368759\pi\) |
−0.817529 | + | 0.575887i | \(0.804657\pi\) | |||||||
\(510\) | 1.64103 | + | 0.132478i | 0.0726661 | + | 0.00586621i | ||||
\(511\) | 0.109721 | + | 0.537447i | 0.00485376 | + | 0.0237753i | ||||
\(512\) | 13.8504 | − | 1.68175i | 0.612109 | − | 0.0743235i | ||||
\(513\) | 2.99893 | + | 2.88051i | 0.132406 | + | 0.127178i | ||||
\(514\) | 16.5445 | + | 26.1631i | 0.729747 | + | 1.15400i | ||||
\(515\) | −3.59973 | + | 6.85871i | −0.158623 | + | 0.302231i | ||||
\(516\) | −22.8829 | − | 3.71884i | −1.00736 | − | 0.163713i | ||||
\(517\) | −43.7613 | − | 27.6730i | −1.92462 | − | 1.21706i | ||||
\(518\) | −7.30396 | − | 44.9431i | −0.320918 | − | 1.97469i | ||||
\(519\) | −2.54001 | − | 20.9188i | −0.111494 | − | 0.918235i | ||||
\(520\) | −8.83386 | − | 9.10834i | −0.387391 | − | 0.399427i | ||||
\(521\) | 3.80064 | − | 31.3011i | 0.166509 | − | 1.37133i | −0.634615 | − | 0.772828i | \(-0.718841\pi\) |
0.801124 | − | 0.598498i | \(-0.204235\pi\) | |||||||
\(522\) | −37.0529 | + | 1.49318i | −1.62176 | + | 0.0653548i | ||||
\(523\) | 27.2355 | − | 11.6040i | 1.19093 | − | 0.507406i | 0.296677 | − | 0.954978i | \(-0.404121\pi\) |
0.894248 | + | 0.447572i | \(0.147711\pi\) | |||||||
\(524\) | −37.8681 | + | 23.9463i | −1.65428 | + | 1.04610i | ||||
\(525\) | −2.92004 | − | 3.29604i | −0.127441 | − | 0.143851i | ||||
\(526\) | 0.524837 | + | 0.303015i | 0.0228840 | + | 0.0132121i | ||||
\(527\) | −0.709397 | − | 2.12490i | −0.0309018 | − | 0.0925622i | ||||
\(528\) | 6.77354 | + | 12.9059i | 0.294780 | + | 0.561657i | ||||
\(529\) | −8.64767 | + | 14.9782i | −0.375986 | + | 0.651227i | ||||
\(530\) | 2.71775 | + | 4.70728i | 0.118052 | + | 0.204471i | ||||
\(531\) | 7.62067 | − | 12.0511i | 0.330709 | − | 0.522974i | ||||
\(532\) | −19.3400 | + | 4.76688i | −0.838495 | + | 0.206671i | ||||
\(533\) | −7.11378 | − | 4.06135i | −0.308132 | − | 0.175917i | ||||
\(534\) | −30.9161 | − | 7.62013i | −1.33787 | − | 0.329755i | ||||
\(535\) | 1.28225 | − | 1.23162i | 0.0554367 | − | 0.0532477i | ||||
\(536\) | 13.8202 | − | 16.9267i | 0.596941 | − | 0.731120i | ||||
\(537\) | 48.1455 | + | 36.1790i | 2.07763 | + | 1.56124i | ||||
\(538\) | 5.38151 | − | 21.8336i | 0.232013 | − | 0.941315i | ||||
\(539\) | −16.4055 | − | 4.75191i | −0.706634 | − | 0.204679i | ||||
\(540\) | −0.389885 | − | 4.82959i | −0.0167780 | − | 0.207833i | ||||
\(541\) | −18.6295 | − | 2.26203i | −0.800943 | − | 0.0972521i | −0.290178 | − | 0.956973i | \(-0.593715\pi\) |
−0.510765 | + | 0.859721i | \(0.670638\pi\) | |||||||
\(542\) | 10.6555 | + | 13.0506i | 0.457693 | + | 0.560572i | ||||
\(543\) | 0.0412069 | + | 1.02254i | 0.00176836 | + | 0.0438813i | ||||
\(544\) | 1.18935 | − | 0.344500i | 0.0509930 | − | 0.0147703i | ||||
\(545\) | −0.436007 | − | 1.14966i | −0.0186765 | − | 0.0492459i | ||||
\(546\) | 29.8763 | + | 22.2251i | 1.27859 | + | 0.951146i | ||||
\(547\) | −3.85088 | + | 10.1539i | −0.164652 | + | 0.434151i | −0.991795 | − | 0.127840i | \(-0.959196\pi\) |
0.827143 | + | 0.561992i | \(0.189965\pi\) | |||||||
\(548\) | −4.43889 | + | 54.9855i | −0.189620 | + | 2.34886i | ||||
\(549\) | 4.54716 | − | 22.2735i | 0.194068 | − | 0.950608i | ||||
\(550\) | −3.26612 | + | 11.2760i | −0.139268 | + | 0.480808i | ||||
\(551\) | −18.4701 | + | 7.00478i | −0.786852 | + | 0.298414i | ||||
\(552\) | 51.8916 | + | 2.09116i | 2.20865 | + | 0.0890056i | ||||
\(553\) | −2.90214 | + | 17.8576i | −0.123412 | + | 0.759382i | ||||
\(554\) | −18.5536 | + | 20.9427i | −0.788269 | + | 0.889772i | ||||
\(555\) | −22.6019 | + | 7.54563i | −0.959398 | + | 0.320294i | ||||
\(556\) | −24.7110 | + | 52.0773i | −1.04798 | + | 2.20857i | ||||
\(557\) | −23.5725 | − | 11.1853i | −0.998801 | − | 0.473937i | −0.142156 | − | 0.989844i | \(-0.545404\pi\) |
−0.856644 | + | 0.515907i | \(0.827455\pi\) | |||||||
\(558\) | 37.0469 | − | 19.4437i | 1.56832 | − | 0.823119i | ||||
\(559\) | 7.72117 | + | 6.77392i | 0.326571 | + | 0.286506i | ||||
\(560\) | 2.10074 | + | 1.10256i | 0.0887726 | + | 0.0465915i | ||||
\(561\) | 2.11086 | + | 2.80905i | 0.0891208 | + | 0.118598i | ||||
\(562\) | 5.60299 | + | 19.3438i | 0.236348 | + | 0.815967i | ||||
\(563\) | −15.4388 | + | 1.24635i | −0.650670 | + | 0.0525275i | −0.401395 | − | 0.915905i | \(-0.631474\pi\) |
−0.249275 | + | 0.968433i | \(0.580192\pi\) | |||||||
\(564\) | 69.2777 | + | 47.8190i | 2.91712 | + | 2.01354i | ||||
\(565\) | −14.3801 | + | 2.93572i | −0.604975 | + | 0.123507i | ||||
\(566\) | 15.9992 | − | 37.5515i | 0.672497 | − | 1.57841i | ||||
\(567\) | 4.72867 | + | 19.1850i | 0.198585 | + | 0.805693i | ||||
\(568\) | 1.84095 | − | 45.6827i | 0.0772445 | − | 1.91680i | ||||
\(569\) | −16.4137 | + | 12.3341i | −0.688097 | + | 0.517072i | −0.886313 | − | 0.463087i | \(-0.846742\pi\) |
0.198216 | + | 0.980158i | \(0.436485\pi\) | |||||||
\(570\) | 6.42024 | + | 15.0689i | 0.268914 | + | 0.631165i | ||||
\(571\) | 5.43649 | + | 7.87611i | 0.227510 | + | 0.329605i | 0.920069 | − | 0.391756i | \(-0.128132\pi\) |
−0.692559 | + | 0.721361i | \(0.743517\pi\) | |||||||
\(572\) | 4.77858 | − | 62.9946i | 0.199802 | − | 2.63394i | ||||
\(573\) | 15.5945 | − | 22.5925i | 0.651468 | − | 0.943814i | ||||
\(574\) | 9.88868 | + | 2.01879i | 0.412746 | + | 0.0842626i | ||||
\(575\) | 4.39732 | + | 4.57809i | 0.183381 | + | 0.190920i | ||||
\(576\) | 12.4964 | + | 26.3356i | 0.520682 | + | 1.09731i | ||||
\(577\) | 31.8999i | 1.32801i | 0.747728 | + | 0.664005i | \(0.231145\pi\) | ||||
−0.747728 | + | 0.664005i | \(0.768855\pi\) | |||||||
\(578\) | 35.8277 | − | 17.0005i | 1.49024 | − | 0.707126i | ||||
\(579\) | −28.9750 | + | 38.5587i | −1.20416 | + | 1.60244i | ||||
\(580\) | 21.5219 | + | 8.16218i | 0.893648 | + | 0.338916i | ||||
\(581\) | −4.54305 | − | 1.93561i | −0.188478 | − | 0.0803028i | ||||
\(582\) | 68.7315 | − | 11.1700i | 2.84901 | − | 0.463010i | ||||
\(583\) | −3.67357 | + | 11.0037i | −0.152144 | + | 0.455726i | ||||
\(584\) | −0.762830 | + | 0.675809i | −0.0315661 | + | 0.0279652i | ||||
\(585\) | 3.99189 | − | 7.69624i | 0.165044 | − | 0.318200i | ||||
\(586\) | 40.0170 | + | 35.4520i | 1.65309 | + | 1.46451i | ||||
\(587\) | 30.8320 | − | 17.8008i | 1.27257 | − | 0.734720i | 0.297100 | − | 0.954846i | \(-0.403980\pi\) |
0.975471 | + | 0.220127i | \(0.0706471\pi\) | |||||||
\(588\) | 26.3393 | + | 8.79335i | 1.08621 | + | 0.362632i | ||||
\(589\) | 15.4391 | − | 16.0738i | 0.636155 | − | 0.662308i | ||||
\(590\) | −11.4452 | + | 7.90004i | −0.471191 | + | 0.325240i | ||||
\(591\) | −0.0959075 | + | 0.0783061i | −0.00394511 | + | 0.00322108i | ||||
\(592\) | 9.94450 | − | 8.11943i | 0.408716 | − | 0.333707i | ||||
\(593\) | −17.8859 | + | 12.3457i | −0.734486 | + | 0.506979i | −0.875614 | − | 0.483012i | \(-0.839543\pi\) |
0.141128 | + | 0.989991i | \(0.454927\pi\) | |||||||
\(594\) | 11.2564 | − | 11.7191i | 0.461854 | − | 0.480841i | ||||
\(595\) | 0.542514 | + | 0.181118i | 0.0222409 | + | 0.00742510i | ||||
\(596\) | −49.9523 | + | 28.8400i | −2.04613 | + | 1.18133i | ||||
\(597\) | 5.57875 | + | 4.94234i | 0.228323 | + | 0.202277i | ||||
\(598\) | −44.3237 | − | 30.2786i | −1.81253 | − | 1.23819i | ||||
\(599\) | 21.1084 | − | 18.7004i | 0.862467 | − | 0.764080i | −0.110779 | − | 0.993845i | \(-0.535334\pi\) |
0.973246 | + | 0.229766i | \(0.0737960\pi\) | |||||||
\(600\) | 2.59075 | − | 7.76025i | 0.105767 | − | 0.316811i | ||||
\(601\) | 45.7548 | − | 7.43588i | 1.86638 | − | 0.303316i | 0.880924 | − | 0.473258i | \(-0.156922\pi\) |
0.985454 | + | 0.169942i | \(0.0543581\pi\) | |||||||
\(602\) | −11.6426 | − | 4.96047i | −0.474519 | − | 0.202174i | ||||
\(603\) | 13.9609 | + | 5.29467i | 0.568531 | + | 0.215615i | ||||
\(604\) | −31.4404 | + | 41.8396i | −1.27929 | + | 1.70243i | ||||
\(605\) | −12.6979 | + | 6.02523i | −0.516243 | + | 0.244960i | ||||
\(606\) | − | 78.1553i | − | 3.17484i | ||||||
\(607\) | 11.8429 | + | 24.9583i | 0.480687 | + | 1.01303i | 0.988453 | + | 0.151531i | \(0.0484202\pi\) |
−0.507766 | + | 0.861495i | \(0.669529\pi\) | |||||||
\(608\) | 8.53375 | + | 8.88458i | 0.346089 | + | 0.360317i | ||||
\(609\) | −28.3699 | − | 5.79176i | −1.14961 | − | 0.234694i | ||||
\(610\) | −12.5954 | + | 18.2475i | −0.509971 | + | 0.738821i | ||||
\(611\) | −14.7847 | − | 34.2403i | −0.598125 | − | 1.38521i | ||||
\(612\) | −1.44383 | − | 2.09175i | −0.0583634 | − | 0.0845539i | ||||
\(613\) | −17.4536 | − | 40.9651i | −0.704944 | − | 1.65456i | −0.754923 | − | 0.655813i | \(-0.772326\pi\) |
0.0499798 | − | 0.998750i | \(-0.484084\pi\) | |||||||
\(614\) | 42.1539 | − | 31.6766i | 1.70119 | − | 1.27836i | ||||
\(615\) | 0.212672 | − | 5.27741i | 0.00857577 | − | 0.212806i | ||||
\(616\) | 7.98491 | + | 32.3961i | 0.321721 | + | 1.30527i | ||||
\(617\) | −3.48099 | + | 8.17018i | −0.140139 | + | 0.328919i | −0.975230 | − | 0.221193i | \(-0.929005\pi\) |
0.835091 | + | 0.550112i | \(0.185415\pi\) | |||||||
\(618\) | 41.3801 | − | 8.44781i | 1.66455 | − | 0.339821i | ||||
\(619\) | 6.57746 | + | 4.54009i | 0.264370 | + | 0.182482i | 0.692875 | − | 0.721058i | \(-0.256344\pi\) |
−0.428504 | + | 0.903540i | \(0.640959\pi\) | |||||||
\(620\) | −25.8858 | + | 2.08972i | −1.03960 | + | 0.0839251i | ||||
\(621\) | −2.44457 | − | 8.43962i | −0.0980971 | − | 0.338670i | ||||
\(622\) | 43.0798 | + | 57.3288i | 1.72734 | + | 2.29867i | ||||
\(623\) | −9.79462 | − | 5.14061i | −0.392413 | − | 0.205954i | ||||
\(624\) | −1.21503 | + | 10.4284i | −0.0486403 | + | 0.417471i | ||||
\(625\) | 0.885456 | − | 0.464723i | 0.0354182 | − | 0.0185889i | ||||
\(626\) | 29.0516 | + | 13.7851i | 1.16113 | + | 0.550965i | ||||
\(627\) | −14.9863 | + | 31.5829i | −0.598494 | + | 1.26130i | ||||
\(628\) | −9.16406 | + | 3.05941i | −0.365686 | + | 0.122084i | ||||
\(629\) | 2.05233 | − | 2.31660i | 0.0818318 | − | 0.0923690i | ||||
\(630\) | −1.71353 | + | 10.5438i | −0.0682687 | + | 0.420074i | ||||
\(631\) | 33.6424 | + | 1.35574i | 1.33928 | + | 0.0539713i | 0.699527 | − | 0.714606i | \(-0.253394\pi\) |
0.639757 | + | 0.768577i | \(0.279035\pi\) | |||||||
\(632\) | −31.4289 | + | 11.9194i | −1.25018 | + | 0.474129i | ||||
\(633\) | 6.80239 | − | 23.4846i | 0.270371 | − | 0.933428i | ||||
\(634\) | 1.29237 | − | 6.33045i | 0.0513266 | − | 0.251414i | ||||
\(635\) | 1.07630 | − | 13.3323i | 0.0427116 | − | 0.529078i | ||||
\(636\) | 6.68799 | − | 17.6348i | 0.265196 | − | 0.699265i | ||||
\(637\) | −7.82699 | − | 9.49213i | −0.310117 | − | 0.376092i | ||||
\(638\) | 27.3730 | + | 72.1767i | 1.08371 | + | 2.85750i | ||||
\(639\) | 30.0063 | − | 8.69143i | 1.18703 | − | 0.343828i | ||||
\(640\) | −0.814574 | − | 20.2134i | −0.0321989 | − | 0.799006i | ||||
\(641\) | −6.03392 | − | 7.39021i | −0.238325 | − | 0.291896i | 0.641569 | − | 0.767066i | \(-0.278284\pi\) |
−0.879894 | + | 0.475170i | \(0.842387\pi\) | |||||||
\(642\) | −9.62326 | − | 1.16848i | −0.379800 | − | 0.0461160i | ||||
\(643\) | 3.64802 | + | 45.1889i | 0.143864 | + | 1.78208i | 0.518672 | + | 0.854973i | \(0.326427\pi\) |
−0.374808 | + | 0.927103i | \(0.622291\pi\) | |||||||
\(644\) | 40.4275 | + | 11.7100i | 1.59307 | + | 0.461438i | ||||
\(645\) | −1.58494 | + | 6.43035i | −0.0624069 | + | 0.253195i | ||||
\(646\) | −1.70080 | − | 1.27806i | −0.0669169 | − | 0.0502848i | ||||
\(647\) | −17.9707 | + | 22.0101i | −0.706500 | + | 0.865305i | −0.995764 | − | 0.0919443i | \(-0.970692\pi\) |
0.289265 | + | 0.957249i | \(0.406589\pi\) | |||||||
\(648\) | −26.4760 | + | 25.4305i | −1.04008 | + | 0.999006i | ||||
\(649\) | −28.8184 | − | 7.10309i | −1.13122 | − | 0.278821i | ||||
\(650\) | −6.52421 | + | 5.37971i | −0.255901 | + | 0.211010i | ||||
\(651\) | 31.7197 | − | 7.81820i | 1.24319 | − | 0.306419i | ||||
\(652\) | −28.9999 | + | 45.8597i | −1.13572 | + | 1.79600i | ||||
\(653\) | −19.4982 | − | 33.7719i | −0.763025 | − | 1.32160i | −0.941284 | − | 0.337615i | \(-0.890380\pi\) |
0.178259 | − | 0.983984i | \(-0.442953\pi\) | |||||||
\(654\) | −3.35199 | + | 5.80581i | −0.131073 | + | 0.227025i | ||||
\(655\) | 5.94816 | + | 11.3333i | 0.232414 | + | 0.442827i | ||||
\(656\) | 0.901132 | + | 2.69922i | 0.0351833 | + | 0.105387i | ||||
\(657\) | −0.603064 | − | 0.348179i | −0.0235278 | − | 0.0135838i | ||||
\(658\) | 30.4718 | + | 34.3955i | 1.18791 | + | 1.34088i | ||||
\(659\) | 21.0815 | − | 13.3312i | 0.821221 | − | 0.519308i | −0.0565443 | − | 0.998400i | \(-0.518008\pi\) |
0.877765 | + | 0.479092i | \(0.159034\pi\) | |||||||
\(660\) | 37.4746 | − | 15.9664i | 1.45870 | − | 0.621493i | ||||
\(661\) | 22.1386 | − | 0.892154i | 0.861091 | − | 0.0347008i | 0.394209 | − | 0.919021i | \(-0.371019\pi\) |
0.466881 | + | 0.884320i | \(0.345377\pi\) | |||||||
\(662\) | −5.41358 | + | 44.5848i | −0.210405 | + | 1.73284i | ||||
\(663\) | 0.114158 | + | 2.52846i | 0.00443351 | + | 0.0981971i | ||||
\(664\) | −1.10590 | − | 9.10791i | −0.0429173 | − | 0.353455i | ||||
\(665\) | 0.912782 | + | 5.61657i | 0.0353962 | + | 0.217801i | ||||
\(666\) | 48.8549 | + | 30.8940i | 1.89309 | + | 1.19712i | ||||
\(667\) | 41.2000 | + | 6.69565i | 1.59527 | + | 0.259257i | ||||
\(668\) | 2.97315 | − | 5.66487i | 0.115035 | − | 0.219180i | ||||
\(669\) | 17.6856 | + | 27.9676i | 0.683765 | + | 1.08129i | ||||
\(670\) | −10.5029 | − | 10.0882i | −0.405763 | − | 0.389740i | ||||
\(671\) | −46.9764 | + | 5.70396i | −1.81350 | + | 0.220199i | ||||
\(672\) | 3.61194 | + | 17.6925i | 0.139334 | + | 0.682502i | ||||
\(673\) | −33.0145 | − | 2.66521i | −1.27262 | − | 0.102736i | −0.574371 | − | 0.818595i | \(-0.694753\pi\) |
−0.698245 | + | 0.715859i | \(0.746036\pi\) | |||||||
\(674\) | −17.4760 | − | 14.2687i | −0.673148 | − | 0.549609i | ||||
\(675\) | −1.38417 | −0.0532768 | ||||||||
\(676\) | 28.4378 | − | 35.5267i | 1.09376 | − | 1.36641i | ||||
\(677\) | −6.66085 | −0.255997 | −0.127999 | − | 0.991774i | \(-0.540855\pi\) | ||||
−0.127999 | + | 0.991774i | \(0.540855\pi\) | |||||||
\(678\) | 61.9857 | + | 50.6098i | 2.38055 | + | 1.94366i | ||||
\(679\) | 24.1121 | + | 1.94653i | 0.925339 | + | 0.0747011i | ||||
\(680\) | 0.212554 | + | 1.04116i | 0.00815108 | + | 0.0399266i | ||||
\(681\) | −26.1487 | + | 3.17503i | −1.00202 | + | 0.121667i | ||||
\(682\) | −62.8125 | − | 60.3322i | −2.40521 | − | 2.31024i | ||||
\(683\) | 8.48742 | + | 13.4218i | 0.324762 | + | 0.513570i | 0.967619 | − | 0.252416i | \(-0.0812252\pi\) |
−0.642857 | + | 0.765987i | \(0.722251\pi\) | |||||||
\(684\) | 11.7513 | − | 22.3903i | 0.449324 | − | 0.856116i | ||||
\(685\) | 15.5549 | + | 2.52792i | 0.594322 | + | 0.0965867i | ||||
\(686\) | 39.0942 | + | 24.7217i | 1.49262 | + | 0.943877i | ||||
\(687\) | 0.501149 | + | 3.08370i | 0.0191200 | + | 0.117650i | ||||
\(688\) | −0.430102 | − | 3.54221i | −0.0163975 | − | 0.135046i | ||||
\(689\) | −6.65594 | + | 5.05222i | −0.253571 | + | 0.192474i | ||||
\(690\) | 4.17186 | − | 34.3584i | 0.158820 | − | 1.30800i | ||||
\(691\) | −4.87147 | + | 0.196314i | −0.185320 | + | 0.00746812i | −0.132752 | − | 0.991149i | \(-0.542381\pi\) |
−0.0525674 | + | 0.998617i | \(0.516740\pi\) | |||||||
\(692\) | 29.1906 | − | 12.4370i | 1.10966 | − | 0.472782i | ||||
\(693\) | −19.2689 | + | 12.1849i | −0.731964 | + | 0.462866i | ||||
\(694\) | −34.8297 | − | 39.3146i | −1.32212 | − | 1.49236i | ||||
\(695\) | 14.2608 | + | 8.23347i | 0.540943 | + | 0.312313i | ||||
\(696\) | −17.0356 | − | 51.0277i | −0.645731 | − | 1.93420i | ||||
\(697\) | 0.318808 | + | 0.607438i | 0.0120757 | + | 0.0230084i | ||||
\(698\) | −35.7946 | + | 61.9981i | −1.35485 | + | 2.34666i | ||||
\(699\) | 32.5454 | + | 56.3703i | 1.23098 | + | 2.13212i | ||||
\(700\) | 3.54376 | − | 5.60400i | 0.133941 | − | 0.211811i | ||||
\(701\) | −2.37447 | + | 0.585255i | −0.0896826 | + | 0.0221048i | −0.283902 | − | 0.958853i | \(-0.591629\pi\) |
0.194219 | + | 0.980958i | \(0.437783\pi\) | |||||||
\(702\) | 11.4568 | − | 2.39675i | 0.432408 | − | 0.0904597i | ||||
\(703\) | 29.8966 | + | 7.36885i | 1.12757 | + | 0.277922i | ||||
\(704\) | 43.7621 | − | 42.0341i | 1.64935 | − | 1.58422i | ||||
\(705\) | 15.2088 | − | 18.6274i | 0.572795 | − | 0.701547i | ||||
\(706\) | −20.3475 | − | 15.2901i | −0.765788 | − | 0.575452i | ||||
\(707\) | 6.49769 | − | 26.3622i | 0.244371 | − | 0.991452i | ||||
\(708\) | 46.3499 | + | 13.4254i | 1.74194 | + | 0.504558i | ||||
\(709\) | −1.17258 | − | 14.5250i | −0.0440371 | − | 0.545498i | −0.980733 | − | 0.195354i | \(-0.937415\pi\) |
0.936696 | − | 0.350144i | \(-0.113867\pi\) | |||||||
\(710\) | −30.2474 | − | 3.67269i | −1.13516 | − | 0.137834i | ||||
\(711\) | −14.5257 | − | 17.7907i | −0.544756 | − | 0.667205i | ||||
\(712\) | −0.827534 | − | 20.5350i | −0.0310131 | − | 0.769583i | ||||
\(713\) | −45.2349 | + | 13.1025i | −1.69406 | + | 0.490691i | ||||
\(714\) | −1.10582 | − | 2.91581i | −0.0413843 | − | 0.109121i | ||||
\(715\) | −17.8276 | − | 2.80875i | −0.666716 | − | 0.105041i | ||||
\(716\) | −32.1560 | + | 84.7885i | −1.20173 | + | 3.16869i | ||||
\(717\) | −2.67477 | + | 33.1330i | −0.0998911 | + | 1.23737i | ||||
\(718\) | −1.74413 | + | 8.54332i | −0.0650904 | + | 0.318834i | ||||
\(719\) | −1.11309 | + | 3.84283i | −0.0415112 | + | 0.143313i | −0.978597 | − | 0.205786i | \(-0.934025\pi\) |
0.937086 | + | 0.349099i | \(0.113512\pi\) | |||||||
\(720\) | −2.81615 | + | 1.06802i | −0.104952 | + | 0.0398029i | ||||
\(721\) | 14.6601 | + | 0.590780i | 0.545969 | + | 0.0220018i | ||||
\(722\) | −3.75281 | + | 23.0920i | −0.139665 | + | 0.859395i | ||||
\(723\) | 9.52307 | − | 10.7493i | 0.354167 | − | 0.399772i | ||||
\(724\) | −1.46162 | + | 0.487962i | −0.0543208 | + | 0.0181350i | ||||
\(725\) | 2.81888 | − | 5.94066i | 0.104691 | − | 0.220631i | ||||
\(726\) | 69.2333 | + | 32.8516i | 2.56949 | + | 1.21924i | ||||
\(727\) | 44.7206 | − | 23.4712i | 1.65859 | − | 0.870497i | 0.666428 | − | 0.745569i | \(-0.267822\pi\) |
0.992166 | − | 0.124928i | \(-0.0398699\pi\) | |||||||
\(728\) | −8.41364 | + | 22.5131i | −0.311830 | + | 0.834391i | ||||
\(729\) | −13.6629 | − | 7.17086i | −0.506034 | − | 0.265587i | ||||
\(730\) | 0.408018 | + | 0.542974i | 0.0151014 | + | 0.0200964i | ||||
\(731\) | −0.239325 | − | 0.826245i | −0.00885175 | − | 0.0305598i | ||||
\(732\) | 76.6856 | − | 6.19070i | 2.83438 | − | 0.228815i | ||||
\(733\) | 3.75846 | + | 2.59428i | 0.138822 | + | 0.0958218i | 0.635452 | − | 0.772141i | \(-0.280814\pi\) |
−0.496630 | + | 0.867962i | \(0.665429\pi\) | |||||||
\(734\) | −80.6824 | + | 16.4714i | −2.97804 | + | 0.607972i | ||||
\(735\) | 3.10934 | − | 7.29789i | 0.114690 | − | 0.269187i | ||||
\(736\) | −6.22958 | − | 25.2744i | −0.229625 | − | 0.931627i | ||||
\(737\) | 1.25151 | − | 31.0559i | 0.0461000 | − | 1.14396i | ||||
\(738\) | −10.2429 | + | 7.69704i | −0.377046 | + | 0.283332i | ||||
\(739\) | 0.212642 | + | 0.499088i | 0.00782215 | + | 0.0183593i | 0.923845 | − | 0.382767i | \(-0.125029\pi\) |
−0.916023 | + | 0.401127i | \(0.868619\pi\) | |||||||
\(740\) | −20.3816 | − | 29.5279i | −0.749243 | − | 1.08547i | ||||
\(741\) | −21.7462 | + | 12.6959i | −0.798865 | + | 0.466397i | ||||
\(742\) | 5.84858 | − | 8.47313i | 0.214708 | − | 0.311058i | ||||
\(743\) | −12.5703 | − | 2.56624i | −0.461159 | − | 0.0941463i | −0.0361718 | − | 0.999346i | \(-0.511516\pi\) |
−0.424987 | + | 0.905199i | \(0.639721\pi\) | |||||||
\(744\) | 42.0459 | + | 43.7744i | 1.54148 | + | 1.60485i | ||||
\(745\) | 7.06382 | + | 14.8867i | 0.258798 | + | 0.545406i | ||||
\(746\) | − | 72.7402i | − | 2.66321i | ||||||
\(747\) | 5.66375 | − | 2.68748i | 0.207226 | − | 0.0983299i | ||||
\(748\) | −3.17841 | + | 4.22969i | −0.116214 | + | 0.154653i | ||||
\(749\) | −3.14883 | − | 1.19419i | −0.115056 | − | 0.0436349i | ||||
\(750\) | −5.01604 | − | 2.13714i | −0.183160 | − | 0.0780372i | ||||
\(751\) | −34.7793 | + | 5.65219i | −1.26911 | + | 0.206251i | −0.757427 | − | 0.652920i | \(-0.773544\pi\) |
−0.511688 | + | 0.859171i | \(0.670980\pi\) | |||||||
\(752\) | −4.10286 | + | 12.2896i | −0.149616 | + | 0.448154i | ||||
\(753\) | −5.15029 | + | 4.56276i | −0.187687 | + | 0.166276i | ||||
\(754\) | −13.0453 | + | 54.0517i | −0.475081 | + | 1.96845i | ||||
\(755\) | 11.1909 | + | 9.91431i | 0.407280 | + | 0.360819i | ||||
\(756\) | −7.94812 | + | 4.58885i | −0.289071 | + | 0.166895i | ||||
\(757\) | −6.49681 | − | 2.16895i | −0.236131 | − | 0.0788320i | 0.196140 | − | 0.980576i | \(-0.437159\pi\) |
−0.432271 | + | 0.901744i | \(0.642287\pi\) | |||||||
\(758\) | −5.78890 | + | 6.02688i | −0.210262 | + | 0.218906i | ||||
\(759\) | 60.7921 | − | 41.9617i | 2.20661 | − | 1.52311i | ||||
\(760\) | −8.18916 | + | 6.68624i | −0.297052 | + | 0.242536i | ||||
\(761\) | −25.5876 | + | 20.8916i | −0.927549 | + | 0.757320i | −0.970335 | − | 0.241764i | \(-0.922274\pi\) |
0.0427865 | + | 0.999084i | \(0.486376\pi\) | |||||||
\(762\) | −60.0194 | + | 41.4284i | −2.17427 | + | 1.50079i | ||||
\(763\) | −1.61333 | + | 1.67965i | −0.0584064 | + | 0.0608075i | ||||
\(764\) | 39.2081 | + | 13.0896i | 1.41850 | + | 0.473565i | ||||
\(765\) | −0.628807 | + | 0.363042i | −0.0227346 | + | 0.0131258i | ||||
\(766\) | −21.0500 | − | 18.6487i | −0.760569 | − | 0.673805i | ||||
\(767\) | −14.2547 | − | 15.9341i | −0.514707 | − | 0.575347i | ||||
\(768\) | −40.3712 | + | 35.7658i | −1.45677 | + | 1.29059i | ||||
\(769\) | −0.753329 | + | 2.25650i | −0.0271657 | + | 0.0813713i | −0.961246 | − | 0.275691i | \(-0.911093\pi\) |
0.934081 | + | 0.357062i | \(0.116222\pi\) | |||||||
\(770\) | 21.9482 | − | 3.56694i | 0.790960 | − | 0.128543i | ||||
\(771\) | −28.2288 | − | 12.0272i | −1.01664 | − | 0.433148i | ||||
\(772\) | −67.9052 | − | 25.7530i | −2.44396 | − | 0.926873i | ||||
\(773\) | 15.5125 | − | 20.6434i | 0.557945 | − | 0.742490i | −0.429043 | − | 0.903284i | \(-0.641149\pi\) |
0.986988 | + | 0.160794i | \(0.0514054\pi\) | |||||||
\(774\) | 14.5147 | − | 6.88731i | 0.521720 | − | 0.247559i | ||||
\(775\) | 7.41892i | 0.266496i | ||||||||
\(776\) | 19.2672 | + | 40.6048i | 0.691653 | + | 1.45763i | ||||
\(777\) | 31.2654 | + | 32.5508i | 1.12164 | + | 1.16775i | ||||
\(778\) | −42.5481 | − | 8.68626i | −1.52542 | − | 0.311418i | ||||
\(779\) | −3.87711 | + | 5.61696i | −0.138912 | + | 0.201249i | ||||
\(780\) | 28.7768 | + | 5.72983i | 1.03037 | + | 0.205161i | ||||
\(781\) | −36.9410 | − | 53.5182i | −1.32185 | − | 1.91503i | ||||
\(782\) | 1.76207 | + | 4.13572i | 0.0630113 | + | 0.147893i | ||||
\(783\) | −7.27625 | + | 5.46775i | −0.260032 | + | 0.195401i | ||||
\(784\) | −0.172095 | + | 4.27049i | −0.00614625 | + | 0.152518i | ||||
\(785\) | 0.660502 | + | 2.67976i | 0.0235743 | + | 0.0956448i | ||||
\(786\) | 27.3540 | − | 64.2021i | 0.975684 | − | 2.29001i | ||||
\(787\) | 37.9774 | − | 7.75315i | 1.35375 | − | 0.276370i | 0.532254 | − | 0.846585i | \(-0.321345\pi\) |
0.821495 | + | 0.570215i | \(0.193140\pi\) | |||||||
\(788\) | −0.153431 | − | 0.105906i | −0.00546575 | − | 0.00377274i | ||||
\(789\) | −0.598775 | + | 0.0483381i | −0.0213169 | + | 0.00172088i | ||||
\(790\) | 6.23242 | + | 21.5168i | 0.221739 | + | 0.765533i | ||||
\(791\) | 16.7005 | + | 22.2243i | 0.593801 | + | 0.790206i | ||||
\(792\) | −37.5056 | − | 19.6845i | −1.33270 | − | 0.699457i | ||||
\(793\) | −30.2585 | − | 15.6945i | −1.07451 | − | 0.557328i | ||||
\(794\) | 76.3122 | − | 40.0518i | 2.70822 | − | 1.42138i | ||||
\(795\) | −4.86770 | − | 2.30975i | −0.172640 | − | 0.0819186i | ||||
\(796\) | −4.81099 | + | 10.1389i | −0.170521 | + | 0.359365i | ||||
\(797\) | 36.8054 | − | 12.2875i | 1.30372 | − | 0.435244i | 0.421816 | − | 0.906681i | \(-0.361393\pi\) |
0.881900 | + | 0.471437i | \(0.156265\pi\) | |||||||
\(798\) | 20.5735 | − | 23.2227i | 0.728296 | − | 0.822076i | ||||
\(799\) | −0.501035 | + | 3.08299i | −0.0177254 | + | 0.109068i | ||||
\(800\) | −4.09740 | − | 0.165119i | −0.144865 | − | 0.00583785i | ||||
\(801\) | 13.1302 | − | 4.97961i | 0.463931 | − | 0.175946i | ||||
\(802\) | 5.33574 | − | 18.4211i | 0.188412 | − | 0.650472i | ||||
\(803\) | −0.289949 | + | 1.42027i | −0.0102321 | + | 0.0501201i | ||||
\(804\) | −4.06611 | + | 50.3678i | −0.143401 | + | 1.77634i | ||||
\(805\) | 4.26368 | − | 11.2424i | 0.150275 | − | 0.396243i | ||||
\(806\) | −12.8462 | − | 61.4063i | −0.452488 | − | 2.16294i | ||||
\(807\) | 7.90420 | + | 20.8417i | 0.278241 | + | 0.733662i | ||||
\(808\) | 48.4530 | − | 14.0346i | 1.70457 | − | 0.493735i | ||||
\(809\) | −1.05459 | − | 26.1693i | −0.0370774 | − | 0.920065i | −0.905527 | − | 0.424288i | \(-0.860524\pi\) |
0.868450 | − | 0.495777i | \(-0.165117\pi\) | |||||||
\(810\) | 15.4732 | + | 18.9512i | 0.543672 | + | 0.665877i | ||||
\(811\) | 4.57530 | + | 0.555542i | 0.160660 | + | 0.0195077i | 0.200472 | − | 0.979700i | \(-0.435753\pi\) |
−0.0398112 | + | 0.999207i | \(0.512676\pi\) | |||||||
\(812\) | −3.50824 | − | 43.4574i | −0.123115 | − | 1.52506i | ||||
\(813\) | −16.0412 | − | 4.64639i | −0.562589 | − | 0.162956i | ||||
\(814\) | 28.7957 | − | 116.829i | 1.00929 | − | 4.09485i | ||||
\(815\) | 12.3918 | + | 9.31180i | 0.434064 | + | 0.326178i | ||||
\(816\) | 0.556086 | − | 0.681082i | 0.0194669 | − | 0.0238426i | ||||
\(817\) | 6.17214 | − | 5.92842i | 0.215936 | − | 0.207409i | ||||
\(818\) | −50.6565 | − | 12.4857i | −1.77116 | − | 0.436552i | ||||
\(819\) | −16.4117 | − | 0.581796i | −0.573473 | − | 0.0203296i | ||||
\(820\) | 7.72174 | − | 1.90324i | 0.269655 | − | 0.0664640i | ||||
\(821\) | −13.6653 | + | 21.6100i | −0.476923 | + | 0.754194i | −0.994864 | − | 0.101223i | \(-0.967725\pi\) |
0.517940 | + | 0.855417i | \(0.326699\pi\) | |||||||
\(822\) | −42.9616 | − | 74.4117i | −1.49846 | − | 2.59541i | ||||
\(823\) | 9.45833 | − | 16.3823i | 0.329697 | − | 0.571051i | −0.652755 | − | 0.757569i | \(-0.726387\pi\) |
0.982452 | + | 0.186518i | \(0.0597202\pi\) | |||||||
\(824\) | 12.6680 | + | 24.1369i | 0.441312 | + | 0.840850i | ||||
\(825\) | −3.68496 | − | 11.0378i | −0.128294 | − | 0.384287i | ||||
\(826\) | 22.8126 | + | 13.1709i | 0.793752 | + | 0.458273i | ||||
\(827\) | −19.1278 | − | 21.5908i | −0.665137 | − | 0.750785i | 0.315003 | − | 0.949091i | \(-0.397995\pi\) |
−0.980140 | + | 0.198306i | \(0.936456\pi\) | |||||||
\(828\) | −45.1602 | + | 28.5576i | −1.56943 | + | 0.992445i | ||||
\(829\) | −11.2533 | + | 4.79458i | −0.390843 | + | 0.166523i | −0.578443 | − | 0.815723i | \(-0.696339\pi\) |
0.187600 | + | 0.982246i | \(0.439929\pi\) | |||||||
\(830\) | −6.10950 | + | 0.246205i | −0.212064 | + | 0.00854588i | ||||
\(831\) | 3.34299 | − | 27.5320i | 0.115967 | − | 0.955074i | ||||
\(832\) | 43.1081 | − | 7.22015i | 1.49451 | − | 0.250314i | ||||
\(833\) | 0.124194 | + | 1.02283i | 0.00430307 | + | 0.0354389i | ||||
\(834\) | −14.4023 | − | 88.6207i | −0.498710 | − | 3.06869i | ||||
\(835\) | −1.54471 | − | 0.976813i | −0.0534568 | − | 0.0338040i | ||||
\(836\) | −51.9560 | − | 8.44368i | −1.79694 | − | 0.292031i | ||||
\(837\) | 4.77227 | − | 9.09281i | 0.164954 | − | 0.314293i | ||||
\(838\) | 3.41009 | + | 5.39262i | 0.117800 | + | 0.186285i | ||||
\(839\) | −2.35411 | − | 2.26116i | −0.0812731 | − | 0.0780638i | 0.650987 | − | 0.759089i | \(-0.274355\pi\) |
−0.732260 | + | 0.681025i | \(0.761535\pi\) | |||||||
\(840\) | −15.3835 | + | 1.86790i | −0.530783 | + | 0.0644487i | ||||
\(841\) | −2.84787 | − | 13.9498i | −0.0982024 | − | 0.481027i | ||||
\(842\) | 64.9716 | + | 5.24505i | 2.23907 | + | 0.180756i | ||||
\(843\) | −15.4631 | − | 12.6252i | −0.532577 | − | 0.434835i | ||||
\(844\) | 36.8151 | 1.26723 | ||||||||
\(845\) | −9.46239 | − | 8.91421i | −0.325516 | − | 0.306658i | ||||
\(846\) | −58.3356 | −2.00562 | ||||||||
\(847\) | 20.6215 | + | 16.8369i | 0.708564 | + | 0.578524i | ||||
\(848\) | 2.89348 | + | 0.233586i | 0.0993626 | + | 0.00802138i | ||||
\(849\) | 8.09311 | + | 39.6427i | 0.277755 | + | 1.36053i | ||||
\(850\) | 0.703019 | − | 0.0853620i | 0.0241134 | − | 0.00292789i | ||||
\(851\) | −46.9239 | − | 45.0710i | −1.60853 | − | 1.54501i | ||||
\(852\) | 56.5063 | + | 89.3576i | 1.93587 | + | 3.06134i | ||||
\(853\) | 19.6550 | − | 37.4495i | 0.672975 | − | 1.28225i | −0.274244 | − | 0.961660i | \(-0.588428\pi\) |
0.947219 | − | 0.320586i | \(-0.103880\pi\) | |||||||
\(854\) | 41.4538 | + | 6.73690i | 1.41852 | + | 0.230532i | ||||
\(855\) | −6.10544 | − | 3.86084i | −0.208801 | − | 0.132038i | ||||
\(856\) | −1.00367 | − | 6.17584i | −0.0343048 | − | 0.211086i | ||||
\(857\) | −5.40530 | − | 44.5166i | −0.184641 | − | 1.52066i | −0.730576 | − | 0.682831i | \(-0.760748\pi\) |
0.545935 | − | 0.837828i | \(-0.316175\pi\) | |||||||
\(858\) | 49.6127 | + | 84.9789i | 1.69375 | + | 2.90113i | ||||
\(859\) | −0.104073 | + | 0.857122i | −0.00355094 | + | 0.0292446i | −0.994377 | − | 0.105901i | \(-0.966227\pi\) |
0.990826 | + | 0.135146i | \(0.0431503\pi\) | |||||||
\(860\) | −9.96410 | + | 0.401540i | −0.339773 | + | 0.0136924i | ||||
\(861\) | −9.20373 | + | 3.92134i | −0.313662 | + | 0.133639i | ||||
\(862\) | −76.9121 | + | 48.6363i | −2.61964 | + | 1.65656i | ||||
\(863\) | 36.7415 | + | 41.4726i | 1.25070 | + | 1.41174i | 0.874372 | + | 0.485256i | \(0.161273\pi\) |
0.376324 | + | 0.926488i | \(0.377188\pi\) | |||||||
\(864\) | 4.91565 | + | 2.83805i | 0.167234 | + | 0.0965525i | ||||
\(865\) | −2.87037 | − | 8.59781i | −0.0975955 | − | 0.292334i | ||||
\(866\) | −2.84295 | − | 5.41679i | −0.0966075 | − | 0.184070i | ||||
\(867\) | −19.6546 | + | 34.0428i | −0.667507 | + | 1.15616i | ||||
\(868\) | 24.5955 | + | 42.6006i | 0.834824 | + | 1.44596i | ||||
\(869\) | −25.5527 | + | 40.4084i | −0.866816 | + | 1.37076i | ||||
\(870\) | −34.8102 | + | 8.57995i | −1.18018 | + | 0.290888i | ||||
\(871\) | 13.3628 | − | 17.9631i | 0.452782 | − | 0.608657i | ||||
\(872\) | −4.20129 | − | 1.03552i | −0.142274 | − | 0.0350673i | ||||
\(873\) | −22.1480 | + | 21.2734i | −0.749595 | + | 0.719995i | ||||
\(874\) | −28.2860 | + | 34.6440i | −0.956787 | + | 1.17185i | ||||
\(875\) | −1.51426 | − | 1.13789i | −0.0511913 | − | 0.0384678i | ||||
\(876\) | 0.563993 | − | 2.28821i | 0.0190556 | − | 0.0773115i | ||||
\(877\) | 1.17671 | + | 0.340839i | 0.0397348 | + | 0.0115093i | 0.298025 | − | 0.954558i | \(-0.403672\pi\) |
−0.258291 | + | 0.966067i | \(0.583159\pi\) | |||||||
\(878\) | 2.42591 | + | 30.0502i | 0.0818704 | + | 1.01415i | ||||
\(879\) | −52.6076 | − | 6.38772i | −1.77441 | − | 0.215453i | ||||
\(880\) | 3.96518 | + | 4.85646i | 0.133666 | + | 0.163711i | ||||
\(881\) | −0.543521 | − | 13.4873i | −0.0183117 | − | 0.454399i | −0.982171 | − | 0.187989i | \(-0.939803\pi\) |
0.963860 | − | 0.266411i | \(-0.0858378\pi\) | |||||||
\(882\) | −18.4836 | + | 5.35385i | −0.622376 | + | 0.180273i | ||||
\(883\) | 8.46200 | + | 22.3124i | 0.284769 | + | 0.750874i | 0.998715 | + | 0.0506734i | \(0.0161368\pi\) |
−0.713946 | + | 0.700200i | \(0.753094\pi\) | |||||||
\(884\) | −3.60905 | + | 1.22433i | −0.121386 | + | 0.0411787i | ||||
\(885\) | 4.88829 | − | 12.8894i | 0.164318 | − | 0.433271i | ||||
\(886\) | −0.116831 | + | 1.44721i | −0.00392501 | + | 0.0486200i | ||||
\(887\) | 9.99448 | − | 48.9562i | 0.335582 | − | 1.64379i | −0.365575 | − | 0.930782i | \(-0.619128\pi\) |
0.701157 | − | 0.713007i | \(-0.252667\pi\) | |||||||
\(888\) | −23.3301 | + | 80.5447i | −0.782905 | + | 2.70290i | ||||
\(889\) | −23.6891 | + | 8.98410i | −0.794508 | + | 0.301317i | ||||
\(890\) | −13.6854 | − | 0.551502i | −0.458735 | − | 0.0184864i | ||||
\(891\) | −8.37599 | + | 51.5395i | −0.280606 | + | 1.72664i | ||||
\(892\) | −33.0403 | + | 37.2947i | −1.10627 | + | 1.24872i | ||||
\(893\) | −29.4756 | + | 9.84040i | −0.986363 | + | 0.329296i | ||||
\(894\) | 38.5144 | − | 81.1673i | 1.28811 | − | 2.71464i | ||||
\(895\) | 23.4040 | + | 11.1054i | 0.782311 | + | 0.371211i | ||||
\(896\) | −33.9291 | + | 17.8074i | −1.13349 | + | 0.594902i | ||||
\(897\) | 53.2079 | − | 0.257618i | 1.77656 | − | 0.00860160i | ||||
\(898\) | −3.40350 | − | 1.78629i | −0.113576 | − | 0.0596094i | ||||
\(899\) | 29.3062 | + | 38.9995i | 0.977416 | + | 1.30070i | ||||
\(900\) | 2.34185 | + | 8.08499i | 0.0780616 | + | 0.269500i | ||||
\(901\) | 0.697544 | − | 0.0563116i | 0.0232386 | − | 0.00187601i | ||||
\(902\) | 21.9498 | + | 15.1508i | 0.730848 | + | 0.504468i | ||||
\(903\) | 12.2910 | − | 2.50923i | 0.409019 | − | 0.0835018i | ||||
\(904\) | −20.2450 | + | 47.5167i | −0.673338 | + | 1.58038i | ||||
\(905\) | 0.105347 | + | 0.427409i | 0.00350185 | + | 0.0142076i | ||||
\(906\) | 3.28239 | − | 81.4516i | 0.109050 | − | 2.70605i | ||||
\(907\) | 14.4426 | − | 10.8529i | 0.479558 | − | 0.360364i | −0.333306 | − | 0.942819i | \(-0.608164\pi\) |
0.812863 | + | 0.582455i | \(0.197908\pi\) | |||||||
\(908\) | −15.5463 | − | 36.4885i | −0.515922 | − | 1.21091i | ||||
\(909\) | 19.5802 | + | 28.3667i | 0.649433 | + | 0.940866i | ||||
\(910\) | 14.5038 | + | 6.79630i | 0.480796 | + | 0.225295i | ||||
\(911\) | 14.3212 | − | 20.7478i | 0.474483 | − | 0.687407i | −0.510536 | − | 0.859857i | \(-0.670553\pi\) |
0.985018 | + | 0.172450i | \(0.0551682\pi\) | |||||||
\(912\) | 8.57092 | + | 1.74977i | 0.283812 | + | 0.0579406i | ||||
\(913\) | −9.03990 | − | 9.41153i | −0.299177 | − | 0.311476i | ||||
\(914\) | −3.87263 | − | 8.16139i | −0.128095 | − | 0.269955i | ||||
\(915\) | − | 21.9782i | − | 0.726578i | ||||||
\(916\) | −4.24997 | + | 2.01664i | −0.140423 | + | 0.0666315i | ||||
\(917\) | 14.5643 | − | 19.3815i | 0.480955 | − | 0.640035i | ||||
\(918\) | −0.916547 | − | 0.347600i | −0.0302506 | − | 0.0114725i | ||||
\(919\) | 27.1669 | + | 11.5747i | 0.896153 | + | 0.381815i | 0.790410 | − | 0.612578i | \(-0.209868\pi\) |
0.105743 | + | 0.994393i | \(0.466278\pi\) | |||||||
\(920\) | 22.0499 | − | 3.58346i | 0.726964 | − | 0.118143i | ||||
\(921\) | −16.5514 | + | 49.5775i | −0.545387 | + | 1.63363i | ||||
\(922\) | 18.1807 | − | 16.1067i | 0.598749 | − | 0.530446i | ||||
\(923\) | −0.226793 | − | 46.8415i | −0.00746499 | − | 1.54181i | ||||
\(924\) | −57.7524 | − | 51.1642i | −1.89991 | − | 1.68318i | ||||
\(925\) | −8.87647 | + | 5.12483i | −0.291856 | + | 0.168503i | ||||
\(926\) | −32.1246 | − | 10.7248i | −1.05568 | − | 0.352438i | ||||
\(927\) | −12.9026 | + | 13.4331i | −0.423778 | + | 0.441200i | ||||
\(928\) | −22.1913 | + | 15.3175i | −0.728464 | + | 0.502822i | ||||
\(929\) | −21.9846 | + | 17.9499i | −0.721293 | + | 0.588917i | −0.920362 | − | 0.391068i | \(-0.872106\pi\) |
0.199069 | + | 0.979985i | \(0.436208\pi\) | |||||||
\(930\) | 31.3332 | − | 25.5827i | 1.02746 | − | 0.838891i | ||||
\(931\) | −8.43622 | + | 5.82310i | −0.276486 | + | 0.190844i | ||||
\(932\) | −67.8938 | + | 70.6849i | −2.22393 | + | 2.31536i | ||||
\(933\) | −67.4248 | − | 22.5097i | −2.20739 | − | 0.736935i | ||||
\(934\) | 28.0095 | − | 16.1713i | 0.916500 | − | 0.529141i | ||||
\(935\) | 1.13133 | + | 1.00227i | 0.0369984 | + | 0.0327777i | ||||
\(936\) | −14.3097 | − | 26.9471i | −0.467729 | − | 0.880793i | ||||
\(937\) | −35.4371 | + | 31.3945i | −1.15768 | + | 1.02561i | −0.158411 | + | 0.987373i | \(0.550637\pi\) |
−0.999269 | + | 0.0382416i | \(0.987824\pi\) | |||||||
\(938\) | −8.73513 | + | 26.1649i | −0.285212 | + | 0.854314i | ||||
\(939\) | −31.4619 | + | 5.11306i | −1.02672 | + | 0.166858i | ||||
\(940\) | 33.3118 | + | 14.1928i | 1.08651 | + | 0.462920i | ||||
\(941\) | 23.2813 | + | 8.82943i | 0.758949 | + | 0.287831i | 0.703562 | − | 0.710634i | \(-0.251592\pi\) |
0.0553865 | + | 0.998465i | \(0.482361\pi\) | |||||||
\(942\) | 9.04012 | − | 12.0302i | 0.294543 | − | 0.391966i | ||||
\(943\) | 13.0294 | − | 6.18250i | 0.424294 | − | 0.201330i | ||||
\(944\) | 7.42717i | 0.241734i | ||||||||
\(945\) | 1.12395 | + | 2.36868i | 0.0365623 | + | 0.0770533i | ||||
\(946\) | −23.1669 | − | 24.1193i | −0.753220 | − | 0.784185i | ||||
\(947\) | −5.67520 | − | 1.15860i | −0.184419 | − | 0.0376495i | 0.106928 | − | 0.994267i | \(-0.465898\pi\) |
−0.291348 | + | 0.956617i | \(0.594104\pi\) | |||||||
\(948\) | 44.1552 | − | 63.9698i | 1.43409 | − | 2.07764i | ||||
\(949\) | −0.749530 | + | 0.726943i | −0.0243308 | + | 0.0235976i | ||||
\(950\) | 4.00238 | + | 5.79845i | 0.129854 | + | 0.188127i | ||||
\(951\) | 2.51033 | + | 5.89196i | 0.0814030 | + | 0.191060i | ||||
\(952\) | 1.60910 | − | 1.20916i | 0.0521514 | − | 0.0391892i | ||||
\(953\) | 0.232781 | − | 5.77640i | 0.00754051 | − | 0.187116i | −0.991029 | − | 0.133647i | \(-0.957331\pi\) |
0.998570 | − | 0.0534689i | \(-0.0170278\pi\) | |||||||
\(954\) | 3.12791 | + | 12.6904i | 0.101270 | + | 0.410867i | ||||
\(955\) | 4.62849 | − | 10.8635i | 0.149775 | − | 0.351534i | ||||
\(956\) | −49.0404 | + | 10.0117i | −1.58608 | + | 0.323800i | ||||
\(957\) | −62.9723 | − | 43.4667i | −2.03561 | − | 1.40508i | ||||
\(958\) | −36.2613 | + | 2.92731i | −1.17155 | + | 0.0945773i | ||||
\(959\) | −8.30472 | − | 28.6712i | −0.268173 | − | 0.925842i | ||||
\(960\) | 16.9303 | + | 22.5302i | 0.546424 | + | 0.727158i | ||||
\(961\) | −21.2867 | − | 11.1721i | −0.686669 | − | 0.360392i | ||||
\(962\) | 64.5965 | − | 57.7881i | 2.08267 | − | 1.86316i | ||||
\(963\) | 3.78553 | − | 1.98680i | 0.121987 | − | 0.0640238i | ||||
\(964\) | 19.5361 | + | 9.26998i | 0.629214 | + | 0.298566i | ||||
\(965\) | −8.89403 | + | 18.7438i | −0.286309 | + | 0.603383i | ||||
\(966\) | −62.1838 | + | 20.7600i | −2.00073 | + | 0.667943i | ||||
\(967\) | 1.77514 | − | 2.00372i | 0.0570847 | − | 0.0644353i | −0.719275 | − | 0.694726i | \(-0.755526\pi\) |
0.776359 | + | 0.630290i | \(0.217064\pi\) | |||||||
\(968\) | −7.93419 | + | 48.8210i | −0.255014 | + | 1.56917i | ||||
\(969\) | 2.10714 | + | 0.0849147i | 0.0676910 | + | 0.00272785i | ||||
\(970\) | 28.0062 | − | 10.6213i | 0.899225 | − | 0.341031i | ||||
\(971\) | −13.8027 | + | 47.6524i | −0.442949 | + | 1.52924i | 0.359862 | + | 0.933005i | \(0.382824\pi\) |
−0.802811 | + | 0.596233i | \(0.796663\pi\) | |||||||
\(972\) | 14.0731 | − | 68.9345i | 0.451394 | − | 2.21107i | ||||
\(973\) | 2.50981 | − | 31.0896i | 0.0804609 | − | 0.996687i | ||||
\(974\) | −21.7987 | + | 57.4785i | −0.698475 | + | 1.84173i | ||||
\(975\) | 2.29304 | − | 8.06237i | 0.0734361 | − | 0.258202i | ||||
\(976\) | 4.19903 | + | 11.0719i | 0.134408 | + | 0.354404i | ||||
\(977\) | −33.2061 | + | 9.61826i | −1.06236 | + | 0.307715i | −0.762982 | − | 0.646420i | \(-0.776265\pi\) |
−0.299375 | + | 0.954136i | \(0.596778\pi\) | |||||||
\(978\) | −3.40304 | − | 84.4454i | −0.108817 | − | 2.70027i | ||||
\(979\) | −18.4875 | − | 22.6430i | −0.590862 | − | 0.723674i | ||||
\(980\) | 11.8574 | + | 1.43975i | 0.378772 | + | 0.0459912i | ||||
\(981\) | −0.237907 | − | 2.94701i | −0.00759579 | − | 0.0940908i | ||||
\(982\) | −10.3284 | − | 2.99166i | −0.329593 | − | 0.0954678i | ||||
\(983\) | 8.32612 | − | 33.7804i | 0.265562 | − | 1.07743i | −0.675003 | − | 0.737815i | \(-0.735858\pi\) |
0.940565 | − | 0.339613i | \(-0.110296\pi\) | |||||||
\(984\) | −14.8594 | − | 11.1661i | −0.473699 | − | 0.355962i | ||||
\(985\) | −0.0336832 | + | 0.0412545i | −0.00107324 | + | 0.00131448i | ||||
\(986\) | 3.35840 | − | 3.22579i | 0.106953 | − | 0.102730i | ||||
\(987\) | −44.2259 | − | 10.9007i | −1.40773 | − | 0.346974i | ||||
\(988\) | −27.4719 | − | 26.1326i | −0.873999 | − | 0.831389i | ||||
\(989\) | −17.5582 | + | 4.32771i | −0.558318 | + | 0.137613i | ||||
\(990\) | −15.0873 | + | 23.8586i | −0.479505 | + | 0.758276i | ||||
\(991\) | −18.9120 | − | 32.7565i | −0.600759 | − | 1.04055i | −0.992706 | − | 0.120558i | \(-0.961532\pi\) |
0.391947 | − | 0.919988i | \(-0.371802\pi\) | |||||||
\(992\) | 15.2115 | − | 26.3470i | 0.482965 | − | 0.836520i | ||||
\(993\) | −20.6890 | − | 39.4196i | −0.656546 | − | 1.25094i | ||||
\(994\) | 18.2761 | + | 54.7435i | 0.579681 | + | 1.73636i | ||||
\(995\) | 2.77644 | + | 1.60298i | 0.0880189 | + | 0.0508178i | ||||
\(996\) | 14.0690 | + | 15.8806i | 0.445794 | + | 0.503197i | ||||
\(997\) | −39.5416 | + | 25.0046i | −1.25230 | + | 0.791904i | −0.985141 | − | 0.171749i | \(-0.945058\pi\) |
−0.267156 | + | 0.963653i | \(0.586084\pi\) | |||||||
\(998\) | 74.6302 | − | 31.7970i | 2.36238 | − | 1.00652i | ||||
\(999\) | 14.1758 | − | 0.571265i | 0.448502 | − | 0.0180740i |
(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 | 845.2.bg.a.621.8 | yes | 1440 | |
169.43 | even | 78 | inner | 845.2.bg.a.381.8 | ✓ | 1440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.bg.a.381.8 | ✓ | 1440 | 169.43 | even | 78 | inner | |
845.2.bg.a.621.8 | yes | 1440 | 1.1 | even | 1 | trivial |