Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Character | \(\chi\) | \(=\) | 43.17 |
Dual form | 43.2.g.a.38.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.178150 | − | 0.780524i | −0.125971 | − | 0.551914i | −0.998043 | − | 0.0625363i | \(-0.980081\pi\) |
0.872072 | − | 0.489378i | \(-0.162776\pi\) | |||||||
\(3\) | −0.711521 | + | 0.219475i | −0.410797 | + | 0.126714i | −0.493264 | − | 0.869880i | \(-0.664196\pi\) |
0.0824671 | + | 0.996594i | \(0.473720\pi\) | |||||||
\(4\) | 1.22446 | − | 0.589667i | 0.612228 | − | 0.294834i | ||||
\(5\) | 0.511972 | − | 1.30448i | 0.228961 | − | 0.583382i | −0.769512 | − | 0.638632i | \(-0.779500\pi\) |
0.998473 | + | 0.0552503i | \(0.0175957\pi\) | |||||||
\(6\) | 0.298063 | + | 0.516260i | 0.121684 | + | 0.210762i | ||||
\(7\) | −2.37928 | + | 4.12103i | −0.899283 | + | 1.55760i | −0.0708714 | + | 0.997485i | \(0.522578\pi\) |
−0.828412 | + | 0.560119i | \(0.810755\pi\) | |||||||
\(8\) | −1.67671 | − | 2.10253i | −0.592808 | − | 0.743358i | ||||
\(9\) | −2.02062 | + | 1.37764i | −0.673541 | + | 0.459213i | ||||
\(10\) | −1.10939 | − | 0.167213i | −0.350819 | − | 0.0528775i | ||||
\(11\) | 2.39760 | + | 1.15462i | 0.722904 | + | 0.348132i | 0.758889 | − | 0.651220i | \(-0.225742\pi\) |
−0.0359847 | + | 0.999352i | \(0.511457\pi\) | |||||||
\(12\) | −0.741809 | + | 0.688298i | −0.214142 | + | 0.198695i | ||||
\(13\) | 0.611008 | − | 0.0920946i | 0.169463 | − | 0.0255424i | −0.0637626 | − | 0.997965i | \(-0.520310\pi\) |
0.233226 | + | 0.972423i | \(0.425072\pi\) | |||||||
\(14\) | 3.64044 | + | 1.12293i | 0.972947 | + | 0.300115i | ||||
\(15\) | −0.0779770 | + | 1.04053i | −0.0201336 | + | 0.268664i | ||||
\(16\) | 0.352328 | − | 0.441805i | 0.0880820 | − | 0.110451i | ||||
\(17\) | −2.15975 | − | 5.50296i | −0.523817 | − | 1.33466i | −0.910903 | − | 0.412621i | \(-0.864613\pi\) |
0.387086 | − | 0.922044i | \(-0.373482\pi\) | |||||||
\(18\) | 1.43525 | + | 1.33172i | 0.338293 | + | 0.313890i | ||||
\(19\) | −1.48286 | − | 1.01100i | −0.340191 | − | 0.231938i | 0.381158 | − | 0.924510i | \(-0.375525\pi\) |
−0.721349 | + | 0.692572i | \(0.756478\pi\) | |||||||
\(20\) | −0.142323 | − | 1.89917i | −0.0318245 | − | 0.424668i | ||||
\(21\) | 0.788443 | − | 3.45439i | 0.172052 | − | 0.753810i | ||||
\(22\) | 0.474081 | − | 2.07708i | 0.101074 | − | 0.442836i | ||||
\(23\) | 0.178184 | + | 2.37770i | 0.0371540 | + | 0.495785i | 0.984478 | + | 0.175508i | \(0.0561569\pi\) |
−0.947324 | + | 0.320277i | \(0.896224\pi\) | |||||||
\(24\) | 1.65447 | + | 1.12800i | 0.337717 | + | 0.230252i | ||||
\(25\) | 2.22570 | + | 2.06515i | 0.445140 | + | 0.413030i | ||||
\(26\) | −0.180733 | − | 0.460500i | −0.0354446 | − | 0.0903114i | ||||
\(27\) | 2.52811 | − | 3.17015i | 0.486535 | − | 0.610096i | ||||
\(28\) | −0.483287 | + | 6.44901i | −0.0913326 | + | 1.21875i | ||||
\(29\) | −1.79980 | − | 0.555165i | −0.334215 | − | 0.103092i | 0.123106 | − | 0.992394i | \(-0.460715\pi\) |
−0.457320 | + | 0.889302i | \(0.651191\pi\) | |||||||
\(30\) | 0.826051 | − | 0.124507i | 0.150816 | − | 0.0227318i | ||||
\(31\) | 5.49565 | − | 5.09922i | 0.987048 | − | 0.915847i | −0.00940813 | − | 0.999956i | \(-0.502995\pi\) |
0.996457 | + | 0.0841086i | \(0.0268043\pi\) | |||||||
\(32\) | −5.25345 | − | 2.52993i | −0.928688 | − | 0.447232i | ||||
\(33\) | −1.95935 | − | 0.295325i | −0.341080 | − | 0.0514095i | ||||
\(34\) | −3.91044 | + | 2.66609i | −0.670635 | + | 0.457231i | ||||
\(35\) | 4.15769 | + | 5.21358i | 0.702778 | + | 0.881256i | ||||
\(36\) | −1.66182 | + | 2.87835i | −0.276970 | + | 0.479726i | ||||
\(37\) | 1.11406 | + | 1.92960i | 0.183150 | + | 0.317225i | 0.942951 | − | 0.332930i | \(-0.108037\pi\) |
−0.759802 | + | 0.650155i | \(0.774704\pi\) | |||||||
\(38\) | −0.524936 | + | 1.33752i | −0.0851559 | + | 0.216974i | ||||
\(39\) | −0.414532 | + | 0.199628i | −0.0663783 | + | 0.0319661i | ||||
\(40\) | −3.60115 | + | 1.11081i | −0.569391 | + | 0.175634i | ||||
\(41\) | −0.583954 | − | 2.55847i | −0.0911984 | − | 0.399566i | 0.908639 | − | 0.417582i | \(-0.137122\pi\) |
−0.999838 | + | 0.0180157i | \(0.994265\pi\) | |||||||
\(42\) | −2.83670 | −0.437712 | ||||||||
\(43\) | −6.54183 | + | 0.452170i | −0.997620 | + | 0.0689553i | ||||
\(44\) | 3.61660 | 0.545224 | ||||||||
\(45\) | 0.762602 | + | 3.34118i | 0.113682 | + | 0.498074i | ||||
\(46\) | 1.82411 | − | 0.562664i | 0.268951 | − | 0.0829603i | ||||
\(47\) | −8.07377 | + | 3.88812i | −1.17768 | + | 0.567141i | −0.917235 | − | 0.398348i | \(-0.869584\pi\) |
−0.260446 | + | 0.965489i | \(0.583869\pi\) | |||||||
\(48\) | −0.153723 | + | 0.391681i | −0.0221881 | + | 0.0565342i | ||||
\(49\) | −7.82195 | − | 13.5480i | −1.11742 | − | 1.93543i | ||||
\(50\) | 1.21539 | − | 2.10512i | 0.171882 | − | 0.297709i | ||||
\(51\) | 2.74447 | + | 3.44146i | 0.384303 | + | 0.481901i | ||||
\(52\) | 0.693847 | − | 0.473057i | 0.0962193 | − | 0.0656012i | ||||
\(53\) | 13.5894 | + | 2.04828i | 1.86665 | + | 0.281352i | 0.982558 | − | 0.185957i | \(-0.0595386\pi\) |
0.884094 | + | 0.467310i | \(0.154777\pi\) | |||||||
\(54\) | −2.92476 | − | 1.40849i | −0.398010 | − | 0.191671i | ||||
\(55\) | 2.73369 | − | 2.53650i | 0.368611 | − | 0.342021i | ||||
\(56\) | 12.6540 | − | 1.90728i | 1.69096 | − | 0.254871i | ||||
\(57\) | 1.27697 | + | 0.393894i | 0.169139 | + | 0.0521725i | ||||
\(58\) | −0.112686 | + | 1.50369i | −0.0147964 | + | 0.197444i | ||||
\(59\) | −4.23034 | + | 5.30467i | −0.550743 | + | 0.690610i | −0.976816 | − | 0.214079i | \(-0.931325\pi\) |
0.426073 | + | 0.904689i | \(0.359897\pi\) | |||||||
\(60\) | 0.518087 | + | 1.32007i | 0.0668848 | + | 0.170420i | ||||
\(61\) | 3.03226 | + | 2.81353i | 0.388242 | + | 0.360236i | 0.850011 | − | 0.526764i | \(-0.176595\pi\) |
−0.461770 | + | 0.887000i | \(0.652785\pi\) | |||||||
\(62\) | −4.95912 | − | 3.38107i | −0.629808 | − | 0.429396i | ||||
\(63\) | −0.869663 | − | 11.6048i | −0.109567 | − | 1.46207i | ||||
\(64\) | −0.787282 | + | 3.44931i | −0.0984103 | + | 0.431164i | ||||
\(65\) | 0.192683 | − | 0.844198i | 0.0238994 | − | 0.104710i | ||||
\(66\) | 0.118550 | + | 1.58194i | 0.0145925 | + | 0.194723i | ||||
\(67\) | 4.65539 | + | 3.17399i | 0.568747 | + | 0.387765i | 0.813277 | − | 0.581877i | \(-0.197681\pi\) |
−0.244530 | + | 0.969642i | \(0.578634\pi\) | |||||||
\(68\) | −5.88944 | − | 5.46460i | −0.714200 | − | 0.662681i | ||||
\(69\) | −0.648628 | − | 1.65268i | −0.0780856 | − | 0.198959i | ||||
\(70\) | 3.32864 | − | 4.17398i | 0.397848 | − | 0.498886i | ||||
\(71\) | −0.641465 | + | 8.55975i | −0.0761278 | + | 1.01586i | 0.820088 | + | 0.572237i | \(0.193924\pi\) |
−0.896216 | + | 0.443618i | \(0.853695\pi\) | |||||||
\(72\) | 6.28454 | + | 1.93852i | 0.740640 | + | 0.228457i | ||||
\(73\) | 8.41561 | − | 1.26845i | 0.984972 | − | 0.148461i | 0.363244 | − | 0.931694i | \(-0.381669\pi\) |
0.621728 | + | 0.783233i | \(0.286431\pi\) | |||||||
\(74\) | 1.30763 | − | 1.21331i | 0.152009 | − | 0.141044i | ||||
\(75\) | −2.03688 | − | 0.980910i | −0.235199 | − | 0.113266i | ||||
\(76\) | −2.41185 | − | 0.363527i | −0.276658 | − | 0.0416994i | ||||
\(77\) | −10.4628 | + | 7.13343i | −1.19235 | + | 0.812930i | ||||
\(78\) | 0.229663 | + | 0.287989i | 0.0260043 | + | 0.0326083i | ||||
\(79\) | 3.09616 | − | 5.36270i | 0.348345 | − | 0.603351i | −0.637611 | − | 0.770359i | \(-0.720077\pi\) |
0.985956 | + | 0.167007i | \(0.0534104\pi\) | |||||||
\(80\) | −0.395945 | − | 0.685797i | −0.0442680 | − | 0.0766745i | ||||
\(81\) | 1.57737 | − | 4.01906i | 0.175263 | − | 0.446563i | ||||
\(82\) | −1.89292 | + | 0.911581i | −0.209038 | + | 0.100667i | ||||
\(83\) | −1.21371 | + | 0.374380i | −0.133222 | + | 0.0410935i | −0.360649 | − | 0.932702i | \(-0.617445\pi\) |
0.227427 | + | 0.973795i | \(0.426969\pi\) | |||||||
\(84\) | −1.07153 | − | 4.69467i | −0.116913 | − | 0.512231i | ||||
\(85\) | −8.28425 | −0.898553 | ||||||||
\(86\) | 1.51835 | + | 5.02550i | 0.163728 | + | 0.541914i | ||||
\(87\) | 1.40244 | 0.150357 | ||||||||
\(88\) | −1.59246 | − | 6.97702i | −0.169757 | − | 0.743752i | ||||
\(89\) | −9.04506 | + | 2.79003i | −0.958774 | + | 0.295743i | −0.734367 | − | 0.678753i | \(-0.762521\pi\) |
−0.224408 | + | 0.974495i | \(0.572045\pi\) | |||||||
\(90\) | 2.47202 | − | 1.19046i | 0.260573 | − | 0.125485i | ||||
\(91\) | −1.07423 | + | 2.73710i | −0.112610 | + | 0.286926i | ||||
\(92\) | 1.62023 | + | 2.80632i | 0.168921 | + | 0.292579i | ||||
\(93\) | −2.79112 | + | 4.83436i | −0.289426 | + | 0.501300i | ||||
\(94\) | 4.47311 | + | 5.60911i | 0.461366 | + | 0.578535i | ||||
\(95\) | −2.07801 | + | 1.41676i | −0.213199 | + | 0.145357i | ||||
\(96\) | 4.29319 | + | 0.647095i | 0.438172 | + | 0.0660439i | ||||
\(97\) | 4.06114 | + | 1.95574i | 0.412346 | + | 0.198575i | 0.628544 | − | 0.777774i | \(-0.283651\pi\) |
−0.216198 | + | 0.976350i | \(0.569366\pi\) | |||||||
\(98\) | −9.18108 | + | 8.51880i | −0.927429 | + | 0.860528i | ||||
\(99\) | −6.43531 | + | 0.969967i | −0.646773 | + | 0.0974853i | ||||
\(100\) | 3.94302 | + | 1.21626i | 0.394302 | + | 0.121626i | ||||
\(101\) | −0.836983 | + | 11.1688i | −0.0832829 | + | 1.11133i | 0.786398 | + | 0.617720i | \(0.211943\pi\) |
−0.869681 | + | 0.493614i | \(0.835676\pi\) | |||||||
\(102\) | 2.19722 | − | 2.75522i | 0.217557 | − | 0.272808i | ||||
\(103\) | −3.78337 | − | 9.63986i | −0.372786 | − | 0.949844i | −0.987002 | − | 0.160706i | \(-0.948623\pi\) |
0.614216 | − | 0.789138i | \(-0.289472\pi\) | |||||||
\(104\) | −1.21812 | − | 1.13025i | −0.119446 | − | 0.110830i | ||||
\(105\) | −4.10253 | − | 2.79706i | −0.400366 | − | 0.272965i | ||||
\(106\) | −0.822221 | − | 10.9718i | −0.0798612 | − | 1.06567i | ||||
\(107\) | 1.06717 | − | 4.67559i | 0.103168 | − | 0.452007i | −0.896787 | − | 0.442463i | \(-0.854105\pi\) |
0.999954 | − | 0.00954399i | \(-0.00303799\pi\) | |||||||
\(108\) | 1.22623 | − | 5.37246i | 0.117994 | − | 0.516965i | ||||
\(109\) | 1.33576 | + | 17.8244i | 0.127942 | + | 1.70727i | 0.579453 | + | 0.815006i | \(0.303266\pi\) |
−0.451511 | + | 0.892266i | \(0.649115\pi\) | |||||||
\(110\) | −2.46680 | − | 1.68184i | −0.235200 | − | 0.160357i | ||||
\(111\) | −1.21617 | − | 1.12844i | −0.115434 | − | 0.107107i | ||||
\(112\) | 0.982408 | + | 2.50313i | 0.0928288 | + | 0.236524i | ||||
\(113\) | 0.802598 | − | 1.00643i | 0.0755021 | − | 0.0946766i | −0.742646 | − | 0.669684i | \(-0.766429\pi\) |
0.818148 | + | 0.575008i | \(0.195001\pi\) | |||||||
\(114\) | 0.0799516 | − | 1.06688i | 0.00748815 | − | 0.0999224i | ||||
\(115\) | 3.19290 | + | 0.984878i | 0.297739 | + | 0.0918403i | ||||
\(116\) | −2.53114 | + | 0.381508i | −0.235011 | + | 0.0354221i | ||||
\(117\) | −1.10774 | + | 1.02784i | −0.102411 | + | 0.0950235i | ||||
\(118\) | 4.89406 | + | 2.35686i | 0.450535 | + | 0.216966i | ||||
\(119\) | 27.8166 | + | 4.19267i | 2.54994 | + | 0.384342i | ||||
\(120\) | 2.31850 | − | 1.58072i | 0.211649 | − | 0.144300i | ||||
\(121\) | −2.44305 | − | 3.06348i | −0.222095 | − | 0.278499i | ||||
\(122\) | 1.65583 | − | 2.86799i | 0.149912 | − | 0.259655i | ||||
\(123\) | 0.977016 | + | 1.69224i | 0.0880946 | + | 0.152584i | ||||
\(124\) | 3.72235 | − | 9.48438i | 0.334276 | − | 0.851723i | ||||
\(125\) | 10.1463 | − | 4.88621i | 0.907514 | − | 0.437036i | ||||
\(126\) | −8.90294 | + | 2.74619i | −0.793137 | + | 0.244650i | ||||
\(127\) | −0.977712 | − | 4.28364i | −0.0867579 | − | 0.380111i | 0.912844 | − | 0.408307i | \(-0.133881\pi\) |
−0.999602 | + | 0.0281961i | \(0.991024\pi\) | |||||||
\(128\) | −8.82926 | −0.780404 | ||||||||
\(129\) | 4.55541 | − | 1.75750i | 0.401081 | − | 0.154739i | ||||
\(130\) | −0.693244 | −0.0608015 | ||||||||
\(131\) | −3.14191 | − | 13.7656i | −0.274510 | − | 1.20271i | −0.904626 | − | 0.426206i | \(-0.859850\pi\) |
0.630116 | − | 0.776501i | \(-0.283007\pi\) | |||||||
\(132\) | −2.57329 | + | 0.793754i | −0.223976 | + | 0.0690875i | ||||
\(133\) | 7.69448 | − | 3.70547i | 0.667196 | − | 0.321305i | ||||
\(134\) | 1.64802 | − | 4.19909i | 0.142367 | − | 0.362746i | ||||
\(135\) | −2.84109 | − | 4.92090i | −0.244522 | − | 0.423524i | ||||
\(136\) | −7.94887 | + | 13.7679i | −0.681610 | + | 1.18058i | ||||
\(137\) | −5.86675 | − | 7.35668i | −0.501231 | − | 0.628523i | 0.465276 | − | 0.885166i | \(-0.345955\pi\) |
−0.966506 | + | 0.256642i | \(0.917384\pi\) | |||||||
\(138\) | −1.17440 | + | 0.800694i | −0.0999717 | + | 0.0681596i | ||||
\(139\) | −16.5348 | − | 2.49223i | −1.40247 | − | 0.211388i | −0.596151 | − | 0.802873i | \(-0.703304\pi\) |
−0.806316 | + | 0.591485i | \(0.798542\pi\) | |||||||
\(140\) | 8.16519 | + | 3.93215i | 0.690085 | + | 0.332327i | ||||
\(141\) | 4.89131 | − | 4.53847i | 0.411922 | − | 0.382208i | ||||
\(142\) | 6.79537 | − | 1.02424i | 0.570255 | − | 0.0859521i | ||||
\(143\) | 1.57129 | + | 0.484678i | 0.131398 | + | 0.0405308i | ||||
\(144\) | −0.103275 | + | 1.37810i | −0.00860621 | + | 0.114842i | ||||
\(145\) | −1.64565 | + | 2.06358i | −0.136664 | + | 0.171371i | ||||
\(146\) | −2.48929 | − | 6.34261i | −0.206015 | − | 0.524918i | ||||
\(147\) | 8.53893 | + | 7.92297i | 0.704279 | + | 0.653475i | ||||
\(148\) | 2.50194 | + | 1.70579i | 0.205658 | + | 0.140215i | ||||
\(149\) | 0.871916 | + | 11.6349i | 0.0714302 | + | 0.953169i | 0.911662 | + | 0.410942i | \(0.134800\pi\) |
−0.840231 | + | 0.542228i | \(0.817581\pi\) | |||||||
\(150\) | −0.402755 | + | 1.76458i | −0.0328848 | + | 0.144078i | ||||
\(151\) | −1.79030 | + | 7.84381i | −0.145692 | + | 0.638320i | 0.848360 | + | 0.529419i | \(0.177590\pi\) |
−0.994053 | + | 0.108901i | \(0.965267\pi\) | |||||||
\(152\) | 0.360678 | + | 4.81291i | 0.0292548 | + | 0.390378i | ||||
\(153\) | 11.9451 | + | 8.14406i | 0.965708 | + | 0.658408i | ||||
\(154\) | 7.43176 | + | 6.89567i | 0.598868 | + | 0.555669i | ||||
\(155\) | −3.83823 | − | 9.77964i | −0.308294 | − | 0.785519i | ||||
\(156\) | −0.389862 | + | 0.488872i | −0.0312140 | + | 0.0391411i | ||||
\(157\) | 0.566002 | − | 7.55278i | 0.0451719 | − | 0.602777i | −0.927982 | − | 0.372624i | \(-0.878458\pi\) |
0.973154 | − | 0.230153i | \(-0.0739228\pi\) | |||||||
\(158\) | −4.73730 | − | 1.46126i | −0.376879 | − | 0.116252i | ||||
\(159\) | −10.1187 | + | 1.52515i | −0.802465 | + | 0.120952i | ||||
\(160\) | −5.98987 | + | 5.55778i | −0.473540 | + | 0.439381i | ||||
\(161\) | −10.2225 | − | 4.92292i | −0.805649 | − | 0.387980i | ||||
\(162\) | −3.41798 | − | 0.515178i | −0.268542 | − | 0.0404762i | ||||
\(163\) | 5.09936 | − | 3.47669i | 0.399413 | − | 0.272315i | −0.346911 | − | 0.937898i | \(-0.612769\pi\) |
0.746324 | + | 0.665583i | \(0.231817\pi\) | |||||||
\(164\) | −2.22367 | − | 2.78840i | −0.173640 | − | 0.217737i | ||||
\(165\) | −1.38838 | + | 2.40475i | −0.108085 | + | 0.187209i | ||||
\(166\) | 0.508435 | + | 0.880635i | 0.0394622 | + | 0.0683505i | ||||
\(167\) | −3.21985 | + | 8.20404i | −0.249159 | + | 0.634848i | −0.999661 | − | 0.0260204i | \(-0.991717\pi\) |
0.750502 | + | 0.660868i | \(0.229812\pi\) | |||||||
\(168\) | −8.58497 | + | 4.13430i | −0.662345 | + | 0.318968i | ||||
\(169\) | −12.0576 | + | 3.71928i | −0.927508 | + | 0.286098i | ||||
\(170\) | 1.47584 | + | 6.46606i | 0.113191 | + | 0.495924i | ||||
\(171\) | 4.38908 | 0.335642 | ||||||||
\(172\) | −7.74356 | + | 4.41117i | −0.590441 | + | 0.336348i | ||||
\(173\) | 6.12350 | 0.465561 | 0.232780 | − | 0.972529i | \(-0.425218\pi\) | ||||
0.232780 | + | 0.972529i | \(0.425218\pi\) | |||||||
\(174\) | −0.249844 | − | 1.09464i | −0.0189406 | − | 0.0829844i | ||||
\(175\) | −13.8061 | + | 4.25862i | −1.04364 | + | 0.321922i | ||||
\(176\) | 1.35486 | − | 0.652467i | 0.102127 | − | 0.0491816i | ||||
\(177\) | 1.84573 | − | 4.70284i | 0.138733 | − | 0.353487i | ||||
\(178\) | 3.78906 | + | 6.56285i | 0.284002 | + | 0.491906i | ||||
\(179\) | 12.2987 | − | 21.3020i | 0.919250 | − | 1.59219i | 0.118693 | − | 0.992931i | \(-0.462130\pi\) |
0.800557 | − | 0.599257i | \(-0.204537\pi\) | |||||||
\(180\) | 2.90396 | + | 3.64145i | 0.216448 | + | 0.271418i | ||||
\(181\) | −4.71852 | + | 3.21703i | −0.350725 | + | 0.239120i | −0.725848 | − | 0.687855i | \(-0.758553\pi\) |
0.375124 | + | 0.926975i | \(0.377600\pi\) | |||||||
\(182\) | 2.32775 | + | 0.350852i | 0.172544 | + | 0.0260069i | ||||
\(183\) | −2.77502 | − | 1.33638i | −0.205135 | − | 0.0987879i | ||||
\(184\) | 4.70043 | − | 4.36137i | 0.346521 | − | 0.321524i | ||||
\(185\) | 3.08750 | − | 0.465365i | 0.226997 | − | 0.0342143i | ||||
\(186\) | 4.27057 | + | 1.31730i | 0.313134 | + | 0.0965889i | ||||
\(187\) | 1.17562 | − | 15.6876i | 0.0859702 | − | 1.14719i | ||||
\(188\) | −7.59328 | + | 9.52167i | −0.553797 | + | 0.694439i | ||||
\(189\) | 7.04922 | + | 17.9611i | 0.512755 | + | 1.30648i | ||||
\(190\) | 1.47601 | + | 1.36954i | 0.107081 | + | 0.0993568i | ||||
\(191\) | 0.303915 | + | 0.207206i | 0.0219905 | + | 0.0149929i | 0.574265 | − | 0.818669i | \(-0.305288\pi\) |
−0.552275 | + | 0.833662i | \(0.686240\pi\) | |||||||
\(192\) | −0.196870 | − | 2.62704i | −0.0142078 | − | 0.189590i | ||||
\(193\) | 1.96944 | − | 8.62869i | 0.141764 | − | 0.621107i | −0.853262 | − | 0.521483i | \(-0.825379\pi\) |
0.995025 | − | 0.0996237i | \(-0.0317639\pi\) | |||||||
\(194\) | 0.803013 | − | 3.51823i | 0.0576530 | − | 0.252594i | ||||
\(195\) | 0.0481827 | + | 0.642954i | 0.00345044 | + | 0.0460429i | ||||
\(196\) | −17.5665 | − | 11.9766i | −1.25475 | − | 0.855472i | ||||
\(197\) | 2.76426 | + | 2.56486i | 0.196945 | + | 0.182738i | 0.772480 | − | 0.635039i | \(-0.219016\pi\) |
−0.575535 | + | 0.817777i | \(0.695206\pi\) | |||||||
\(198\) | 1.90353 | + | 4.85012i | 0.135278 | + | 0.344683i | ||||
\(199\) | 7.05704 | − | 8.84925i | 0.500260 | − | 0.627307i | −0.466028 | − | 0.884770i | \(-0.654315\pi\) |
0.966288 | + | 0.257464i | \(0.0828867\pi\) | |||||||
\(200\) | 0.610179 | − | 8.14227i | 0.0431462 | − | 0.575746i | ||||
\(201\) | −4.00902 | − | 1.23662i | −0.282774 | − | 0.0872244i | ||||
\(202\) | 8.86660 | − | 1.33642i | 0.623852 | − | 0.0940305i | ||||
\(203\) | 6.57009 | − | 6.09615i | 0.461130 | − | 0.427866i | ||||
\(204\) | 5.38980 | + | 2.59559i | 0.377362 | + | 0.181728i | ||||
\(205\) | −3.63645 | − | 0.548106i | −0.253981 | − | 0.0382814i | ||||
\(206\) | −6.85014 | + | 4.67035i | −0.477272 | + | 0.325399i | ||||
\(207\) | −3.63566 | − | 4.55897i | −0.252696 | − | 0.316870i | ||||
\(208\) | 0.174587 | − | 0.302394i | 0.0121054 | − | 0.0209672i | ||||
\(209\) | −2.38798 | − | 4.13611i | −0.165180 | − | 0.286101i | ||||
\(210\) | −1.45231 | + | 3.70042i | −0.100219 | + | 0.255353i | ||||
\(211\) | 2.57368 | − | 1.23942i | 0.177180 | − | 0.0853253i | −0.343191 | − | 0.939266i | \(-0.611508\pi\) |
0.520371 | + | 0.853940i | \(0.325794\pi\) | |||||||
\(212\) | 17.8475 | − | 5.50521i | 1.22577 | − | 0.378100i | ||||
\(213\) | −1.42224 | − | 6.23122i | −0.0974500 | − | 0.426956i | ||||
\(214\) | −3.83953 | −0.262465 | ||||||||
\(215\) | −2.75938 | + | 8.76520i | −0.188188 | + | 0.597782i | ||||
\(216\) | −10.9043 | −0.741942 | ||||||||
\(217\) | 7.93837 | + | 34.7803i | 0.538891 | + | 2.36104i | ||||
\(218\) | 13.6744 | − | 4.21801i | 0.926150 | − | 0.285679i | ||||
\(219\) | −5.70948 | + | 2.74954i | −0.385811 | + | 0.185797i | ||||
\(220\) | 1.85160 | − | 4.71780i | 0.124835 | − | 0.318074i | ||||
\(221\) | −1.82642 | − | 3.16345i | −0.122858 | − | 0.212797i | ||||
\(222\) | −0.664117 | + | 1.15029i | −0.0445726 | + | 0.0772021i | ||||
\(223\) | 2.73391 | + | 3.42821i | 0.183076 | + | 0.229570i | 0.864897 | − | 0.501949i | \(-0.167383\pi\) |
−0.681822 | + | 0.731519i | \(0.738812\pi\) | |||||||
\(224\) | 22.9254 | − | 15.6302i | 1.53177 | − | 1.04434i | ||||
\(225\) | −7.34233 | − | 1.10668i | −0.489489 | − | 0.0737786i | ||||
\(226\) | −0.928523 | − | 0.447153i | −0.0617644 | − | 0.0297442i | ||||
\(227\) | 9.09730 | − | 8.44106i | 0.603809 | − | 0.560253i | −0.317905 | − | 0.948122i | \(-0.602979\pi\) |
0.921714 | + | 0.387870i | \(0.126789\pi\) | |||||||
\(228\) | 1.79586 | − | 0.270683i | 0.118934 | − | 0.0179264i | ||||
\(229\) | 9.76205 | + | 3.01119i | 0.645094 | + | 0.198985i | 0.600003 | − | 0.799998i | \(-0.295166\pi\) |
0.0450911 | + | 0.998983i | \(0.485642\pi\) | |||||||
\(230\) | 0.199908 | − | 2.66759i | 0.0131816 | − | 0.175896i | ||||
\(231\) | 5.87890 | − | 7.37191i | 0.386803 | − | 0.485036i | ||||
\(232\) | 1.85050 | + | 4.71500i | 0.121491 | + | 0.309555i | ||||
\(233\) | −14.9717 | − | 13.8917i | −0.980830 | − | 0.910077i | 0.0151294 | − | 0.999886i | \(-0.495184\pi\) |
−0.995959 | + | 0.0898086i | \(0.971374\pi\) | |||||||
\(234\) | 0.999595 | + | 0.681513i | 0.0653456 | + | 0.0445519i | ||||
\(235\) | 0.938446 | + | 12.5227i | 0.0612175 | + | 0.816891i | ||||
\(236\) | −2.05187 | + | 8.98984i | −0.133565 | + | 0.585188i | ||||
\(237\) | −1.02600 | + | 4.49520i | −0.0666459 | + | 0.291995i | ||||
\(238\) | −1.68303 | − | 22.4584i | −0.109094 | − | 1.45576i | ||||
\(239\) | 1.59638 | + | 1.08839i | 0.103261 | + | 0.0704022i | 0.613850 | − | 0.789423i | \(-0.289620\pi\) |
−0.510589 | + | 0.859825i | \(0.670572\pi\) | |||||||
\(240\) | 0.432239 | + | 0.401059i | 0.0279009 | + | 0.0258882i | ||||
\(241\) | 5.18733 | + | 13.2171i | 0.334145 | + | 0.851388i | 0.994907 | + | 0.100793i | \(0.0321380\pi\) |
−0.660762 | + | 0.750595i | \(0.729767\pi\) | |||||||
\(242\) | −1.95590 | + | 2.45262i | −0.125730 | + | 0.157660i | ||||
\(243\) | −1.14929 | + | 15.3362i | −0.0737267 | + | 0.983815i | ||||
\(244\) | 5.37192 | + | 1.65702i | 0.343902 | + | 0.106080i | ||||
\(245\) | −21.6778 | + | 3.26740i | −1.38494 | + | 0.208746i | ||||
\(246\) | 1.14678 | − | 1.06406i | 0.0731161 | − | 0.0678418i | ||||
\(247\) | −0.999145 | − | 0.481163i | −0.0635741 | − | 0.0306157i | ||||
\(248\) | −19.9359 | − | 3.00486i | −1.26593 | − | 0.190809i | ||||
\(249\) | 0.781412 | − | 0.532758i | 0.0495200 | − | 0.0337622i | ||||
\(250\) | −5.62137 | − | 7.04897i | −0.355527 | − | 0.445816i | ||||
\(251\) | −4.31293 | + | 7.47021i | −0.272230 | + | 0.471516i | −0.969432 | − | 0.245358i | \(-0.921094\pi\) |
0.697203 | + | 0.716874i | \(0.254428\pi\) | |||||||
\(252\) | −7.90786 | − | 13.6968i | −0.498149 | − | 0.862819i | ||||
\(253\) | −2.31814 | + | 5.90652i | −0.145740 | + | 0.371340i | ||||
\(254\) | −3.16930 | + | 1.52626i | −0.198860 | + | 0.0957658i | ||||
\(255\) | 5.89441 | − | 1.81819i | 0.369123 | − | 0.113859i | ||||
\(256\) | 3.14749 | + | 13.7901i | 0.196718 | + | 0.861879i | ||||
\(257\) | 12.4670 | 0.777670 | 0.388835 | − | 0.921307i | \(-0.372878\pi\) | ||||
0.388835 | + | 0.921307i | \(0.372878\pi\) | |||||||
\(258\) | −2.18331 | − | 3.24251i | −0.135927 | − | 0.201870i | ||||
\(259\) | −10.6026 | −0.658814 | ||||||||
\(260\) | −0.261864 | − | 1.14730i | −0.0162401 | − | 0.0711527i | ||||
\(261\) | 4.40154 | − | 1.35769i | 0.272448 | − | 0.0840392i | ||||
\(262\) | −10.1847 | + | 4.90468i | −0.629211 | + | 0.303012i | ||||
\(263\) | −6.48661 | + | 16.5276i | −0.399982 | + | 1.01914i | 0.579025 | + | 0.815310i | \(0.303433\pi\) |
−0.979007 | + | 0.203827i | \(0.934662\pi\) | |||||||
\(264\) | 2.66435 | + | 4.61478i | 0.163979 | + | 0.284020i | ||||
\(265\) | 9.62934 | − | 16.6785i | 0.591526 | − | 1.02455i | ||||
\(266\) | −4.26298 | − | 5.34560i | −0.261380 | − | 0.327760i | ||||
\(267\) | 5.82340 | − | 3.97033i | 0.356387 | − | 0.242980i | ||||
\(268\) | 7.57193 | + | 1.14128i | 0.462529 | + | 0.0697150i | ||||
\(269\) | −25.8191 | − | 12.4338i | −1.57422 | − | 0.758105i | −0.575984 | − | 0.817461i | \(-0.695381\pi\) |
−0.998237 | + | 0.0593567i | \(0.981095\pi\) | |||||||
\(270\) | −3.33475 | + | 3.09419i | −0.202946 | + | 0.188307i | ||||
\(271\) | −18.1205 | + | 2.73123i | −1.10074 | + | 0.165910i | −0.674194 | − | 0.738554i | \(-0.735509\pi\) |
−0.426549 | + | 0.904464i | \(0.640271\pi\) | |||||||
\(272\) | −3.19218 | − | 0.984657i | −0.193554 | − | 0.0597036i | ||||
\(273\) | 0.163614 | − | 2.18327i | 0.00990235 | − | 0.132138i | ||||
\(274\) | −4.69691 | + | 5.88973i | −0.283750 | + | 0.355812i | ||||
\(275\) | 2.95187 | + | 7.52125i | 0.178005 | + | 0.453549i | ||||
\(276\) | −1.76875 | − | 1.64116i | −0.106466 | − | 0.0987860i | ||||
\(277\) | 5.46901 | + | 3.72871i | 0.328601 | + | 0.224036i | 0.716371 | − | 0.697720i | \(-0.245802\pi\) |
−0.387770 | + | 0.921756i | \(0.626754\pi\) | |||||||
\(278\) | 1.00043 | + | 13.3498i | 0.0600019 | + | 0.800670i | ||||
\(279\) | −4.07977 | + | 17.8746i | −0.244249 | + | 1.07013i | ||||
\(280\) | 3.99047 | − | 17.4834i | 0.238476 | − | 1.04483i | ||||
\(281\) | −0.962331 | − | 12.8414i | −0.0574079 | − | 0.766055i | −0.949413 | − | 0.314030i | \(-0.898321\pi\) |
0.892005 | − | 0.452025i | \(-0.149298\pi\) | |||||||
\(282\) | −4.41377 | − | 3.00926i | −0.262836 | − | 0.179199i | ||||
\(283\) | −0.459412 | − | 0.426272i | −0.0273092 | − | 0.0253393i | 0.666400 | − | 0.745594i | \(-0.267834\pi\) |
−0.693709 | + | 0.720255i | \(0.744025\pi\) | |||||||
\(284\) | 4.26196 | + | 10.8593i | 0.252901 | + | 0.644380i | ||||
\(285\) | 1.16760 | − | 1.46412i | 0.0691627 | − | 0.0867273i | ||||
\(286\) | 0.0983788 | − | 1.31277i | 0.00581726 | − | 0.0776260i | ||||
\(287\) | 11.9329 | + | 3.68082i | 0.704379 | + | 0.217272i | ||||
\(288\) | 14.1006 | − | 2.12532i | 0.830885 | − | 0.125236i | ||||
\(289\) | −13.1562 | + | 12.2072i | −0.773893 | + | 0.718068i | ||||
\(290\) | 1.90385 | + | 0.916844i | 0.111798 | + | 0.0538389i | ||||
\(291\) | −3.31882 | − | 0.500231i | −0.194553 | − | 0.0293241i | ||||
\(292\) | 9.55658 | − | 6.51557i | 0.559257 | − | 0.381295i | ||||
\(293\) | 13.5001 | + | 16.9285i | 0.788682 | + | 0.988976i | 0.999933 | + | 0.0115444i | \(0.00367477\pi\) |
−0.211251 | + | 0.977432i | \(0.567754\pi\) | |||||||
\(294\) | 4.66286 | − | 8.07632i | 0.271944 | − | 0.471020i | ||||
\(295\) | 4.75404 | + | 8.23424i | 0.276791 | + | 0.479416i | ||||
\(296\) | 2.18910 | − | 5.57773i | 0.127239 | − | 0.324199i | ||||
\(297\) | 9.72174 | − | 4.68174i | 0.564113 | − | 0.271662i | ||||
\(298\) | 8.92600 | − | 2.75331i | 0.517070 | − | 0.159495i | ||||
\(299\) | 0.327845 | + | 1.43638i | 0.0189598 | + | 0.0830683i | ||||
\(300\) | −3.07248 | −0.177390 | ||||||||
\(301\) | 13.7014 | − | 28.0349i | 0.789738 | − | 1.61591i | ||||
\(302\) | 6.44123 | 0.370651 | ||||||||
\(303\) | −1.85573 | − | 8.13050i | −0.106609 | − | 0.467085i | ||||
\(304\) | −0.969115 | + | 0.298932i | −0.0555826 | + | 0.0171450i | ||||
\(305\) | 5.22263 | − | 2.51509i | 0.299047 | − | 0.144013i | ||||
\(306\) | 4.22862 | − | 10.7743i | 0.241734 | − | 0.615928i | ||||
\(307\) | 4.16103 | + | 7.20711i | 0.237482 | + | 0.411332i | 0.959991 | − | 0.280030i | \(-0.0903445\pi\) |
−0.722509 | + | 0.691362i | \(0.757011\pi\) | |||||||
\(308\) | −8.60492 | + | 14.9042i | −0.490311 | + | 0.849243i | ||||
\(309\) | 4.80765 | + | 6.02860i | 0.273498 | + | 0.342955i | ||||
\(310\) | −6.94947 | + | 4.73807i | −0.394703 | + | 0.269104i | ||||
\(311\) | −13.6228 | − | 2.05331i | −0.772481 | − | 0.116433i | −0.249038 | − | 0.968494i | \(-0.580114\pi\) |
−0.523443 | + | 0.852061i | \(0.675353\pi\) | |||||||
\(312\) | 1.11478 | + | 0.536848i | 0.0631118 | + | 0.0303930i | ||||
\(313\) | −3.60094 | + | 3.34119i | −0.203537 | + | 0.188855i | −0.775355 | − | 0.631526i | \(-0.782429\pi\) |
0.571818 | + | 0.820381i | \(0.306238\pi\) | |||||||
\(314\) | −5.99596 | + | 0.903745i | −0.338372 | + | 0.0510013i | ||||
\(315\) | −15.5836 | − | 4.80689i | −0.878034 | − | 0.270838i | ||||
\(316\) | 0.628901 | − | 8.39210i | 0.0353785 | − | 0.472093i | ||||
\(317\) | 11.7522 | − | 14.7368i | 0.660071 | − | 0.827703i | −0.333280 | − | 0.942828i | \(-0.608155\pi\) |
0.993351 | + | 0.115125i | \(0.0367269\pi\) | |||||||
\(318\) | 2.99306 | + | 7.62619i | 0.167842 | + | 0.427655i | ||||
\(319\) | −3.67420 | − | 3.40916i | −0.205716 | − | 0.190876i | ||||
\(320\) | 4.09650 | + | 2.79294i | 0.229001 | + | 0.156130i | ||||
\(321\) | 0.266860 | + | 3.56100i | 0.0148947 | + | 0.198756i | ||||
\(322\) | −2.02132 | + | 8.85596i | −0.112643 | + | 0.493523i | ||||
\(323\) | −2.36086 | + | 10.3436i | −0.131362 | + | 0.575534i | ||||
\(324\) | −0.438494 | − | 5.85129i | −0.0243608 | − | 0.325072i | ||||
\(325\) | 1.55011 | + | 1.05685i | 0.0859846 | + | 0.0586233i | ||||
\(326\) | −3.62209 | − | 3.36081i | −0.200609 | − | 0.186138i | ||||
\(327\) | −4.86244 | − | 12.3893i | −0.268893 | − | 0.685129i | ||||
\(328\) | −4.40015 | + | 5.51761i | −0.242957 | + | 0.304659i | ||||
\(329\) | 3.18667 | − | 42.5232i | 0.175687 | − | 2.34438i | ||||
\(330\) | 2.12430 | + | 0.655260i | 0.116939 | + | 0.0360709i | ||||
\(331\) | −3.20077 | + | 0.482439i | −0.175930 | + | 0.0265172i | −0.236416 | − | 0.971652i | \(-0.575973\pi\) |
0.0604862 | + | 0.998169i | \(0.480735\pi\) | |||||||
\(332\) | −1.26538 | + | 1.17410i | −0.0694465 | + | 0.0644369i | ||||
\(333\) | −4.90938 | − | 2.36423i | −0.269033 | − | 0.129559i | ||||
\(334\) | 6.97707 | + | 1.05162i | 0.381768 | + | 0.0575423i | ||||
\(335\) | 6.52385 | − | 4.44788i | 0.356436 | − | 0.243014i | ||||
\(336\) | −1.24838 | − | 1.56542i | −0.0681046 | − | 0.0854005i | ||||
\(337\) | −4.83669 | + | 8.37738i | −0.263471 | + | 0.456345i | −0.967162 | − | 0.254161i | \(-0.918201\pi\) |
0.703691 | + | 0.710506i | \(0.251534\pi\) | |||||||
\(338\) | 5.05104 | + | 8.74866i | 0.274740 | + | 0.475864i | ||||
\(339\) | −0.350180 | + | 0.892243i | −0.0190192 | + | 0.0484600i | ||||
\(340\) | −10.1437 | + | 4.88495i | −0.550120 | + | 0.264924i | ||||
\(341\) | 19.0641 | − | 5.88049i | 1.03238 | − | 0.318446i | ||||
\(342\) | −0.781914 | − | 3.42579i | −0.0422810 | − | 0.185245i | ||||
\(343\) | 41.1325 | 2.22095 | ||||||||
\(344\) | 11.9195 | + | 12.9963i | 0.642655 | + | 0.700711i | ||||
\(345\) | −2.48797 | −0.133948 | ||||||||
\(346\) | −1.09090 | − | 4.77954i | −0.0586471 | − | 0.256950i | ||||
\(347\) | 10.4815 | − | 3.23310i | 0.562674 | − | 0.173562i | −0.000353651 | − | 1.00000i | \(-0.500113\pi\) |
0.563028 | + | 0.826438i | \(0.309636\pi\) | |||||||
\(348\) | 1.71723 | − | 0.826973i | 0.0920531 | − | 0.0443304i | ||||
\(349\) | 7.84116 | − | 19.9790i | 0.419728 | − | 1.06945i | −0.552104 | − | 0.833775i | \(-0.686175\pi\) |
0.971832 | − | 0.235674i | \(-0.0757297\pi\) | |||||||
\(350\) | 5.78351 | + | 10.0173i | 0.309142 | + | 0.535449i | ||||
\(351\) | 1.25274 | − | 2.16981i | 0.0668664 | − | 0.115816i | ||||
\(352\) | −9.67457 | − | 12.1315i | −0.515656 | − | 0.646613i | ||||
\(353\) | −27.5239 | + | 18.7655i | −1.46495 | + | 0.998785i | −0.471828 | + | 0.881690i | \(0.656406\pi\) |
−0.993121 | + | 0.117095i | \(0.962642\pi\) | |||||||
\(354\) | −3.99950 | − | 0.602827i | −0.212571 | − | 0.0320399i | ||||
\(355\) | 10.8376 | + | 5.21913i | 0.575202 | + | 0.277003i | ||||
\(356\) | −9.43009 | + | 8.74985i | −0.499794 | + | 0.463741i | ||||
\(357\) | −20.7122 | + | 3.12187i | −1.09621 | + | 0.165227i | ||||
\(358\) | −18.8178 | − | 5.80451i | −0.994550 | − | 0.306778i | ||||
\(359\) | −0.560334 | + | 7.47713i | −0.0295733 | + | 0.394628i | 0.962701 | + | 0.270567i | \(0.0872110\pi\) |
−0.992275 | + | 0.124061i | \(0.960408\pi\) | |||||||
\(360\) | 5.74628 | − | 7.20560i | 0.302855 | − | 0.379769i | ||||
\(361\) | −5.76472 | − | 14.6883i | −0.303407 | − | 0.773067i | ||||
\(362\) | 3.35158 | + | 3.10981i | 0.176155 | + | 0.163448i | ||||
\(363\) | 2.41064 | + | 1.64354i | 0.126526 | + | 0.0862637i | ||||
\(364\) | 0.298627 | + | 3.98490i | 0.0156523 | + | 0.208866i | ||||
\(365\) | 2.65388 | − | 11.6274i | 0.138911 | − | 0.608607i | ||||
\(366\) | −0.548707 | + | 2.40404i | −0.0286814 | + | 0.125661i | ||||
\(367\) | −0.382393 | − | 5.10269i | −0.0199608 | − | 0.266358i | −0.998251 | − | 0.0591184i | \(-0.981171\pi\) |
0.978290 | − | 0.207240i | \(-0.0664480\pi\) | |||||||
\(368\) | 1.11326 | + | 0.759008i | 0.0580327 | + | 0.0395660i | ||||
\(369\) | 4.70460 | + | 4.36523i | 0.244912 | + | 0.227245i | ||||
\(370\) | −0.913265 | − | 2.32696i | −0.0474784 | − | 0.120973i | ||||
\(371\) | −40.7741 | + | 51.1291i | −2.11688 | + | 2.65449i | ||||
\(372\) | −0.566940 | + | 7.56529i | −0.0293945 | + | 0.392242i | ||||
\(373\) | −31.4395 | − | 9.69781i | −1.62788 | − | 0.502134i | −0.659517 | − | 0.751690i | \(-0.729239\pi\) |
−0.968360 | + | 0.249556i | \(0.919715\pi\) | |||||||
\(374\) | −12.4540 | + | 1.87714i | −0.643982 | + | 0.0970646i | ||||
\(375\) | −6.14691 | + | 5.70350i | −0.317425 | + | 0.294528i | ||||
\(376\) | 21.7123 | + | 10.4561i | 1.11973 | + | 0.539232i | ||||
\(377\) | −1.15082 | − | 0.173458i | −0.0592703 | − | 0.00893355i | ||||
\(378\) | 12.7633 | − | 8.70185i | 0.656472 | − | 0.447575i | ||||
\(379\) | −5.54243 | − | 6.94999i | −0.284695 | − | 0.356997i | 0.618835 | − | 0.785521i | \(-0.287605\pi\) |
−0.903530 | + | 0.428524i | \(0.859034\pi\) | |||||||
\(380\) | −1.70901 | + | 2.96009i | −0.0876704 | + | 0.151850i | ||||
\(381\) | 1.63581 | + | 2.83331i | 0.0838053 | + | 0.145155i | ||||
\(382\) | 0.107587 | − | 0.274127i | 0.00550463 | − | 0.0140256i | ||||
\(383\) | 12.2349 | − | 5.89201i | 0.625173 | − | 0.301067i | −0.0943467 | − | 0.995539i | \(-0.530076\pi\) |
0.719520 | + | 0.694472i | \(0.244362\pi\) | |||||||
\(384\) | 6.28220 | − | 1.93780i | 0.320587 | − | 0.0988880i | ||||
\(385\) | 3.94876 | + | 17.3007i | 0.201248 | + | 0.881724i | ||||
\(386\) | −7.08576 | −0.360656 | ||||||||
\(387\) | 12.5957 | − | 9.92594i | 0.640273 | − | 0.504564i | ||||
\(388\) | 6.12592 | 0.310997 | ||||||||
\(389\) | 0.872197 | + | 3.82135i | 0.0442222 | + | 0.193750i | 0.992214 | − | 0.124545i | \(-0.0397470\pi\) |
−0.947992 | + | 0.318295i | \(0.896890\pi\) | |||||||
\(390\) | 0.493257 | − | 0.152150i | 0.0249771 | − | 0.00770440i | ||||
\(391\) | 12.6996 | − | 6.11579i | 0.642245 | − | 0.309289i | ||||
\(392\) | −15.3700 | + | 39.1621i | −0.776301 | + | 1.97798i | ||||
\(393\) | 5.25674 | + | 9.10494i | 0.265168 | + | 0.459284i | ||||
\(394\) | 1.50948 | − | 2.61450i | 0.0760466 | − | 0.131717i | ||||
\(395\) | −5.41041 | − | 6.78444i | −0.272227 | − | 0.341362i | ||||
\(396\) | −7.30780 | + | 4.98237i | −0.367231 | + | 0.250374i | ||||
\(397\) | 0.912545 | + | 0.137544i | 0.0457993 | + | 0.00690313i | 0.171902 | − | 0.985114i | \(-0.445009\pi\) |
−0.126103 | + | 0.992017i | \(0.540247\pi\) | |||||||
\(398\) | −8.16426 | − | 3.93170i | −0.409238 | − | 0.197078i | ||||
\(399\) | −4.66152 | + | 4.32526i | −0.233368 | + | 0.216534i | ||||
\(400\) | 1.69657 | − | 0.255717i | 0.0848285 | − | 0.0127858i | ||||
\(401\) | −12.9927 | − | 4.00771i | −0.648823 | − | 0.200136i | −0.0471626 | − | 0.998887i | \(-0.515018\pi\) |
−0.601661 | + | 0.798752i | \(0.705494\pi\) | |||||||
\(402\) | −0.251006 | + | 3.34944i | −0.0125190 | + | 0.167055i | ||||
\(403\) | 2.88828 | − | 3.62178i | 0.143875 | − | 0.180414i | ||||
\(404\) | 5.56100 | + | 14.1692i | 0.276670 | + | 0.704944i | ||||
\(405\) | −4.43523 | − | 4.11529i | −0.220388 | − | 0.204490i | ||||
\(406\) | −5.92865 | − | 4.04209i | −0.294234 | − | 0.200605i | ||||
\(407\) | 0.443098 | + | 5.91274i | 0.0219636 | + | 0.293083i | ||||
\(408\) | 2.63409 | − | 11.5407i | 0.130407 | − | 0.571349i | ||||
\(409\) | −3.60394 | + | 15.7899i | −0.178204 | + | 0.780761i | 0.804256 | + | 0.594283i | \(0.202564\pi\) |
−0.982459 | + | 0.186477i | \(0.940293\pi\) | |||||||
\(410\) | 0.220021 | + | 2.93598i | 0.0108661 | + | 0.144998i | ||||
\(411\) | 5.78892 | + | 3.94682i | 0.285546 | + | 0.194682i | ||||
\(412\) | −10.3169 | − | 9.57266i | −0.508276 | − | 0.471611i | ||||
\(413\) | −11.7956 | − | 30.0547i | −0.580423 | − | 1.47889i | ||||
\(414\) | −2.91070 | + | 3.64990i | −0.143053 | + | 0.179383i | ||||
\(415\) | −0.133013 | + | 1.77493i | −0.00652935 | + | 0.0871281i | ||||
\(416\) | −3.44289 | − | 1.06199i | −0.168802 | − | 0.0520684i | ||||
\(417\) | 12.3119 | − | 1.85571i | 0.602914 | − | 0.0908747i | ||||
\(418\) | −2.80292 | + | 2.60073i | −0.137095 | + | 0.127206i | ||||
\(419\) | 22.4254 | + | 10.7995i | 1.09555 | + | 0.527590i | 0.892257 | − | 0.451527i | \(-0.149121\pi\) |
0.203295 | + | 0.979117i | \(0.434835\pi\) | |||||||
\(420\) | −6.67271 | − | 1.00575i | −0.325595 | − | 0.0490755i | ||||
\(421\) | 25.5011 | − | 17.3863i | 1.24285 | − | 0.847359i | 0.250175 | − | 0.968201i | \(-0.419512\pi\) |
0.992672 | + | 0.120842i | \(0.0385594\pi\) | |||||||
\(422\) | −1.42590 | − | 1.78802i | −0.0694117 | − | 0.0870395i | ||||
\(423\) | 10.9576 | − | 18.9792i | 0.532778 | − | 0.922799i | ||||
\(424\) | −18.4790 | − | 32.0066i | −0.897421 | − | 1.55438i | ||||
\(425\) | 6.55747 | − | 16.7082i | 0.318084 | − | 0.810465i | ||||
\(426\) | −4.61025 | + | 2.22018i | −0.223367 | + | 0.107568i | ||||
\(427\) | −18.8093 | + | 5.80189i | −0.910244 | + | 0.280773i | ||||
\(428\) | −1.45034 | − | 6.35434i | −0.0701047 | − | 0.307149i | ||||
\(429\) | −1.22438 | −0.0591136 | ||||||||
\(430\) | 7.33304 | + | 0.592249i | 0.353630 | + | 0.0285608i | ||||
\(431\) | −2.13534 | −0.102856 | −0.0514278 | − | 0.998677i | \(-0.516377\pi\) | ||||
−0.0514278 | + | 0.998677i | \(0.516377\pi\) | |||||||
\(432\) | −0.509865 | − | 2.23387i | −0.0245309 | − | 0.107477i | ||||
\(433\) | 18.6448 | − | 5.75116i | 0.896012 | − | 0.276383i | 0.187653 | − | 0.982235i | \(-0.439912\pi\) |
0.708359 | + | 0.705852i | \(0.249436\pi\) | |||||||
\(434\) | 25.7326 | − | 12.3922i | 1.23521 | − | 0.594844i | ||||
\(435\) | 0.718010 | − | 1.82946i | 0.0344259 | − | 0.0877158i | ||||
\(436\) | 12.1461 | + | 21.0376i | 0.581691 | + | 1.00752i | ||||
\(437\) | 2.13962 | − | 3.70594i | 0.102352 | − | 0.177279i | ||||
\(438\) | 3.16323 | + | 3.96656i | 0.151145 | + | 0.189530i | ||||
\(439\) | 11.8985 | − | 8.11229i | 0.567887 | − | 0.387179i | −0.245068 | − | 0.969506i | \(-0.578810\pi\) |
0.812954 | + | 0.582327i | \(0.197858\pi\) | |||||||
\(440\) | −9.91669 | − | 1.49470i | −0.472759 | − | 0.0712570i | ||||
\(441\) | 34.4695 | + | 16.5996i | 1.64140 | + | 0.790459i | ||||
\(442\) | −2.14378 | + | 1.98913i | −0.101969 | + | 0.0946134i | ||||
\(443\) | −20.4362 | + | 3.08026i | −0.970951 | + | 0.146347i | −0.615319 | − | 0.788278i | \(-0.710973\pi\) |
−0.355633 | + | 0.934626i | \(0.615735\pi\) | |||||||
\(444\) | −2.15456 | − | 0.664593i | −0.102251 | − | 0.0315402i | ||||
\(445\) | −0.991267 | + | 13.2275i | −0.0469906 | + | 0.627045i | ||||
\(446\) | 2.18876 | − | 2.74462i | 0.103641 | − | 0.129961i | ||||
\(447\) | −3.17396 | − | 8.08712i | −0.150123 | − | 0.382508i | ||||
\(448\) | −12.3416 | − | 11.4513i | −0.583084 | − | 0.541023i | ||||
\(449\) | 27.0107 | + | 18.4156i | 1.27471 | + | 0.869084i | 0.995829 | − | 0.0912409i | \(-0.0290833\pi\) |
0.278883 | + | 0.960325i | \(0.410036\pi\) | |||||||
\(450\) | 0.444244 | + | 5.92802i | 0.0209419 | + | 0.279450i | ||||
\(451\) | 1.55398 | − | 6.80845i | 0.0731742 | − | 0.320597i | ||||
\(452\) | 0.389290 | − | 1.70559i | 0.0183107 | − | 0.0802243i | ||||
\(453\) | −0.447686 | − | 5.97396i | −0.0210341 | − | 0.280681i | ||||
\(454\) | −8.20913 | − | 5.59689i | −0.385274 | − | 0.262675i | ||||
\(455\) | 3.02052 | + | 2.80264i | 0.141604 | + | 0.131390i | ||||
\(456\) | −1.31294 | − | 3.34532i | −0.0614842 | − | 0.156659i | ||||
\(457\) | 1.92198 | − | 2.41009i | 0.0899066 | − | 0.112739i | −0.734843 | − | 0.678237i | \(-0.762744\pi\) |
0.824750 | + | 0.565497i | \(0.191316\pi\) | |||||||
\(458\) | 0.611205 | − | 8.15596i | 0.0285597 | − | 0.381103i | ||||
\(459\) | −22.9053 | − | 7.06536i | −1.06913 | − | 0.329783i | ||||
\(460\) | 4.49031 | − | 0.676806i | 0.209362 | − | 0.0315562i | ||||
\(461\) | 15.8067 | − | 14.6665i | 0.736193 | − | 0.683087i | −0.220107 | − | 0.975476i | \(-0.570641\pi\) |
0.956300 | + | 0.292389i | \(0.0944501\pi\) | |||||||
\(462\) | −6.80128 | − | 3.27532i | −0.316424 | − | 0.152382i | ||||
\(463\) | −27.1728 | − | 4.09564i | −1.26283 | − | 0.190340i | −0.516713 | − | 0.856159i | \(-0.672844\pi\) |
−0.746114 | + | 0.665818i | \(0.768083\pi\) | |||||||
\(464\) | −0.879395 | + | 0.599562i | −0.0408249 | + | 0.0278339i | ||||
\(465\) | 4.87736 | + | 6.11602i | 0.226182 | + | 0.283624i | ||||
\(466\) | −8.17562 | + | 14.1606i | −0.378728 | + | 0.655977i | ||||
\(467\) | 15.8517 | + | 27.4559i | 0.733529 | + | 1.27051i | 0.955366 | + | 0.295426i | \(0.0954616\pi\) |
−0.221836 | + | 0.975084i | \(0.571205\pi\) | |||||||
\(468\) | −0.750303 | + | 1.91174i | −0.0346828 | + | 0.0883703i | ||||
\(469\) | −24.1566 | + | 11.6332i | −1.11545 | + | 0.537172i | ||||
\(470\) | 9.60709 | − | 2.96339i | 0.443142 | − | 0.136691i | ||||
\(471\) | 1.25492 | + | 5.49818i | 0.0578238 | + | 0.253343i | ||||
\(472\) | 18.2463 | 0.839855 | ||||||||
\(473\) | −16.2068 | − | 6.46923i | −0.745189 | − | 0.297456i | ||||
\(474\) | 3.69140 | 0.169552 | ||||||||
\(475\) | −1.21254 | − | 5.31249i | −0.0556352 | − | 0.243754i | ||||
\(476\) | 36.5325 | − | 11.2688i | 1.67446 | − | 0.516503i | ||||
\(477\) | −30.2809 | + | 14.5825i | −1.38647 | + | 0.667688i | ||||
\(478\) | 0.565122 | − | 1.43991i | 0.0258481 | − | 0.0658598i | ||||
\(479\) | −1.49373 | − | 2.58721i | −0.0682502 | − | 0.118213i | 0.829881 | − | 0.557941i | \(-0.188408\pi\) |
−0.898131 | + | 0.439728i | \(0.855075\pi\) | |||||||
\(480\) | 3.04212 | − | 5.26910i | 0.138853 | − | 0.240501i | ||||
\(481\) | 0.858403 | + | 1.07640i | 0.0391398 | + | 0.0490798i | ||||
\(482\) | 9.39215 | − | 6.40346i | 0.427801 | − | 0.291670i | ||||
\(483\) | 8.35401 | + | 1.25916i | 0.380120 | + | 0.0572939i | ||||
\(484\) | −4.79784 | − | 2.31052i | −0.218084 | − | 0.105024i | ||||
\(485\) | 4.63041 | − | 4.29640i | 0.210256 | − | 0.195089i | ||||
\(486\) | 12.1750 | − | 1.83508i | 0.552269 | − | 0.0832411i | ||||
\(487\) | −30.1329 | − | 9.29475i | −1.36545 | − | 0.421186i | −0.476494 | − | 0.879178i | \(-0.658093\pi\) |
−0.888956 | + | 0.457992i | \(0.848569\pi\) | |||||||
\(488\) | 0.831300 | − | 11.0929i | 0.0376312 | − | 0.502153i | ||||
\(489\) | −2.86526 | + | 3.59292i | −0.129571 | + | 0.162477i | ||||
\(490\) | 6.41217 | + | 16.3379i | 0.289672 | + | 0.738073i | ||||
\(491\) | 13.8180 | + | 12.8213i | 0.623600 | + | 0.578616i | 0.927378 | − | 0.374127i | \(-0.122058\pi\) |
−0.303778 | + | 0.952743i | \(0.598248\pi\) | |||||||
\(492\) | 2.19417 | + | 1.49596i | 0.0989210 | + | 0.0674432i | ||||
\(493\) | 0.832074 | + | 11.1033i | 0.0374747 | + | 0.500066i | ||||
\(494\) | −0.197562 | + | 0.865576i | −0.00888874 | + | 0.0389441i | ||||
\(495\) | −2.02939 | + | 8.89134i | −0.0912143 | + | 0.399636i | ||||
\(496\) | −0.316591 | − | 4.22461i | −0.0142153 | − | 0.189690i | ||||
\(497\) | −33.7488 | − | 23.0095i | −1.51384 | − | 1.03212i | ||||
\(498\) | −0.555039 | − | 0.515001i | −0.0248719 | − | 0.0230777i | ||||
\(499\) | 11.4840 | + | 29.2608i | 0.514096 | + | 1.30989i | 0.918539 | + | 0.395331i | \(0.129370\pi\) |
−0.404443 | + | 0.914563i | \(0.632535\pi\) | |||||||
\(500\) | 9.54249 | − | 11.9659i | 0.426753 | − | 0.535131i | ||||
\(501\) | 0.490407 | − | 6.54402i | 0.0219097 | − | 0.292365i | ||||
\(502\) | 6.59903 | + | 2.03553i | 0.294529 | + | 0.0908502i | ||||
\(503\) | 22.4500 | − | 3.38379i | 1.00100 | − | 0.150876i | 0.371957 | − | 0.928250i | \(-0.378687\pi\) |
0.629039 | + | 0.777374i | \(0.283449\pi\) | |||||||
\(504\) | −22.9414 | + | 21.2865i | −1.02189 | + | 0.948177i | ||||
\(505\) | 14.1409 | + | 6.80992i | 0.629263 | + | 0.303037i | ||||
\(506\) | 5.02316 | + | 0.757119i | 0.223307 | + | 0.0336581i | ||||
\(507\) | 7.76294 | − | 5.29268i | 0.344764 | − | 0.235056i | ||||
\(508\) | −3.72309 | − | 4.66860i | −0.165185 | − | 0.207136i | ||||
\(509\) | −8.84121 | + | 15.3134i | −0.391880 | + | 0.678755i | −0.992697 | − | 0.120631i | \(-0.961508\pi\) |
0.600818 | + | 0.799386i | \(0.294842\pi\) | |||||||
\(510\) | −2.46923 | − | 4.27682i | −0.109339 | − | 0.189381i | ||||
\(511\) | −14.7958 | + | 37.6990i | −0.654526 | + | 1.66771i | ||||
\(512\) | −5.70701 | + | 2.74835i | −0.252217 | + | 0.121461i | ||||
\(513\) | −6.95384 | + | 2.14498i | −0.307019 | + | 0.0947030i | ||||
\(514\) | −2.22099 | − | 9.73080i | −0.0979637 | − | 0.429207i | ||||
\(515\) | −14.5120 | −0.639475 | ||||||||
\(516\) | 4.54156 | − | 4.83815i | 0.199931 | − | 0.212988i | ||||
\(517\) | −23.8470 | −1.04879 | ||||||||
\(518\) | 1.88885 | + | 8.27560i | 0.0829913 | + | 0.363609i | ||||
\(519\) | −4.35699 | + | 1.34395i | −0.191251 | + | 0.0589931i | ||||
\(520\) | −2.09803 | + | 1.01036i | −0.0920047 | + | 0.0443071i | ||||
\(521\) | −12.4384 | + | 31.6925i | −0.544936 | + | 1.38847i | 0.347662 | + | 0.937620i | \(0.386976\pi\) |
−0.892598 | + | 0.450854i | \(0.851120\pi\) | |||||||
\(522\) | −1.84385 | − | 3.19364i | −0.0807030 | − | 0.139782i | ||||
\(523\) | 4.21809 | − | 7.30594i | 0.184444 | − | 0.319466i | −0.758945 | − | 0.651155i | \(-0.774285\pi\) |
0.943389 | + | 0.331688i | \(0.107618\pi\) | |||||||
\(524\) | −11.9643 | − | 15.0027i | −0.522661 | − | 0.655397i | ||||
\(525\) | 8.88867 | − | 6.06019i | 0.387933 | − | 0.264489i | ||||
\(526\) | 14.0558 | + | 2.11857i | 0.612862 | + | 0.0923741i | ||||
\(527\) | −39.9301 | − | 19.2293i | −1.73938 | − | 0.837642i | ||||
\(528\) | −0.820812 | + | 0.761602i | −0.0357212 | + | 0.0331445i | ||||
\(529\) | 17.1214 | − | 2.58063i | 0.744408 | − | 0.112201i | ||||
\(530\) | −14.7334 | − | 4.54467i | −0.639980 | − | 0.197408i | ||||
\(531\) | 1.24000 | − | 16.5466i | 0.0538113 | − | 0.718062i | ||||
\(532\) | 7.23657 | − | 9.07437i | 0.313745 | − | 0.393424i | ||||
\(533\) | −0.592422 | − | 1.50947i | −0.0256606 | − | 0.0653823i | ||||
\(534\) | −4.13638 | − | 3.83800i | −0.178999 | − | 0.166086i | ||||
\(535\) | −5.55287 | − | 3.78588i | −0.240071 | − | 0.163678i | ||||
\(536\) | −1.13234 | − | 15.1100i | −0.0489095 | − | 0.652652i | ||||
\(537\) | −4.07554 | + | 17.8561i | −0.175872 | + | 0.770547i | ||||
\(538\) | −5.10525 | + | 22.3675i | −0.220103 | + | 0.964333i | ||||
\(539\) | −3.11106 | − | 41.5142i | −0.134003 | − | 1.78814i | ||||
\(540\) | −6.38048 | − | 4.35014i | −0.274572 | − | 0.187200i | ||||
\(541\) | −7.39584 | − | 6.86234i | −0.317972 | − | 0.295035i | 0.504997 | − | 0.863121i | \(-0.331494\pi\) |
−0.822969 | + | 0.568086i | \(0.807684\pi\) | |||||||
\(542\) | 5.35995 | + | 13.6569i | 0.230230 | + | 0.586616i | ||||
\(543\) | 2.65127 | − | 3.32458i | 0.113777 | − | 0.142671i | ||||
\(544\) | −2.57594 | + | 34.3736i | −0.110443 | + | 1.47375i | ||||
\(545\) | 23.9355 | + | 7.38313i | 1.02529 | + | 0.316259i | ||||
\(546\) | −1.73324 | + | 0.261245i | −0.0741760 | + | 0.0111802i | ||||
\(547\) | 13.5257 | − | 12.5500i | 0.578318 | − | 0.536600i | −0.335861 | − | 0.941911i | \(-0.609027\pi\) |
0.914179 | + | 0.405311i | \(0.132837\pi\) | |||||||
\(548\) | −11.5216 | − | 5.54850i | −0.492177 | − | 0.237020i | ||||
\(549\) | −10.0031 | − | 1.50772i | −0.426922 | − | 0.0643481i | ||||
\(550\) | 5.34465 | − | 3.64392i | 0.227896 | − | 0.155377i | ||||
\(551\) | 2.10758 | + | 2.64282i | 0.0897859 | + | 0.112588i | ||||
\(552\) | −2.38724 | + | 4.13483i | −0.101608 | + | 0.175990i | ||||
\(553\) | 14.7333 | + | 25.5188i | 0.626522 | + | 1.08517i | ||||
\(554\) | 1.93605 | − | 4.93296i | 0.0822547 | − | 0.209582i | ||||
\(555\) | −2.09468 | + | 1.00875i | −0.0889143 | + | 0.0428189i | ||||
\(556\) | −21.7158 | + | 6.69843i | −0.920954 | + | 0.284077i | ||||
\(557\) | 0.981857 | + | 4.30180i | 0.0416026 | + | 0.182273i | 0.991460 | − | 0.130410i | \(-0.0416294\pi\) |
−0.949858 | + | 0.312683i | \(0.898772\pi\) | |||||||
\(558\) | 14.6784 | 0.621386 | ||||||||
\(559\) | −3.95547 | + | 0.878747i | −0.167298 | + | 0.0371670i | ||||
\(560\) | 3.76826 | 0.159238 | ||||||||
\(561\) | 2.60656 | + | 11.4201i | 0.110049 | + | 0.482156i | ||||
\(562\) | −9.85160 | + | 3.03882i | −0.415565 | + | 0.128185i | ||||
\(563\) | 8.26616 | − | 3.98077i | 0.348377 | − | 0.167769i | −0.251509 | − | 0.967855i | \(-0.580927\pi\) |
0.599886 | + | 0.800085i | \(0.295213\pi\) | |||||||
\(564\) | 3.31301 | − | 8.44140i | 0.139503 | − | 0.355447i | ||||
\(565\) | −0.901958 | − | 1.56224i | −0.0379457 | − | 0.0657238i | ||||
\(566\) | −0.250872 | + | 0.434523i | −0.0105449 | + | 0.0182644i | ||||
\(567\) | 12.8097 | + | 16.0629i | 0.537957 | + | 0.674577i | ||||
\(568\) | 19.0727 | − | 13.0036i | 0.800273 | − | 0.545617i | ||||
\(569\) | 2.08305 | + | 0.313969i | 0.0873259 | + | 0.0131623i | 0.192560 | − | 0.981285i | \(-0.438321\pi\) |
−0.105234 | + | 0.994447i | \(0.533559\pi\) | |||||||
\(570\) | −1.35079 | − | 0.650507i | −0.0565785 | − | 0.0272468i | ||||
\(571\) | 21.4978 | − | 19.9470i | 0.899654 | − | 0.834757i | −0.0872298 | − | 0.996188i | \(-0.527801\pi\) |
0.986884 | + | 0.161431i | \(0.0516110\pi\) | |||||||
\(572\) | 2.20977 | − | 0.333070i | 0.0923953 | − | 0.0139263i | ||||
\(573\) | −0.261719 | − | 0.0807295i | −0.0109335 | − | 0.00337252i | ||||
\(574\) | 0.747125 | − | 9.96969i | 0.0311844 | − | 0.416127i | ||||
\(575\) | −4.51372 | + | 5.66003i | −0.188235 | + | 0.236040i | ||||
\(576\) | −3.16110 | − | 8.05435i | −0.131712 | − | 0.335598i | ||||
\(577\) | −12.2136 | − | 11.3326i | −0.508459 | − | 0.471781i | 0.383729 | − | 0.923446i | \(-0.374640\pi\) |
−0.892188 | + | 0.451665i | \(0.850830\pi\) | |||||||
\(578\) | 11.8718 | + | 8.09402i | 0.493800 | + | 0.336667i | ||||
\(579\) | 0.492483 | + | 6.57173i | 0.0204669 | + | 0.273112i | ||||
\(580\) | −0.798202 | + | 3.49715i | −0.0331435 | + | 0.145211i | ||||
\(581\) | 1.34492 | − | 5.89249i | 0.0557968 | − | 0.244462i | ||||
\(582\) | 0.200803 | + | 2.67953i | 0.00832357 | + | 0.111070i | ||||
\(583\) | 30.2171 | + | 20.6016i | 1.25146 | + | 0.853233i | ||||
\(584\) | −16.7775 | − | 15.5673i | −0.694259 | − | 0.644178i | ||||
\(585\) | 0.773661 | + | 1.97125i | 0.0319869 | + | 0.0815014i | ||||
\(586\) | 10.8081 | − | 13.5529i | 0.446479 | − | 0.559867i | ||||
\(587\) | 1.69281 | − | 22.5890i | 0.0698698 | − | 0.932348i | −0.846596 | − | 0.532236i | \(-0.821352\pi\) |
0.916466 | − | 0.400112i | \(-0.131029\pi\) | |||||||
\(588\) | 15.1275 | + | 4.66620i | 0.623846 | + | 0.192431i | ||||
\(589\) | −13.3046 | + | 2.00534i | −0.548205 | + | 0.0826286i | ||||
\(590\) | 5.58010 | − | 5.17757i | 0.229729 | − | 0.213157i | ||||
\(591\) | −2.52975 | − | 1.21826i | −0.104060 | − | 0.0501126i | ||||
\(592\) | 1.24502 | + | 0.187657i | 0.0511701 | + | 0.00771265i | ||||
\(593\) | −29.4226 | + | 20.0600i | −1.20824 | + | 0.823765i | −0.988415 | − | 0.151775i | \(-0.951501\pi\) |
−0.219826 | + | 0.975539i | \(0.570549\pi\) | |||||||
\(594\) | −5.38614 | − | 6.75401i | −0.220996 | − | 0.277120i | ||||
\(595\) | 19.7106 | − | 34.1397i | 0.808054 | − | 1.39959i | ||||
\(596\) | 7.92835 | + | 13.7323i | 0.324758 | + | 0.562497i | ||||
\(597\) | −3.07904 | + | 7.84527i | −0.126017 | + | 0.321085i | ||||
\(598\) | 1.06273 | − | 0.511783i | 0.0434582 | − | 0.0209283i | ||||
\(599\) | 29.6180 | − | 9.13596i | 1.21016 | − | 0.373285i | 0.376946 | − | 0.926235i | \(-0.376974\pi\) |
0.833214 | + | 0.552950i | \(0.186498\pi\) | |||||||
\(600\) | 1.35287 | + | 5.92731i | 0.0552307 | + | 0.241982i | ||||
\(601\) | 21.0632 | 0.859187 | 0.429594 | − | 0.903022i | \(-0.358657\pi\) | ||||
0.429594 | + | 0.903022i | \(0.358657\pi\) | |||||||
\(602\) | −24.3229 | − | 5.69989i | −0.991326 | − | 0.232310i | ||||
\(603\) | −13.7794 | −0.561141 | ||||||||
\(604\) | 2.43310 | + | 10.6601i | 0.0990012 | + | 0.433753i | ||||
\(605\) | −5.24703 | + | 1.61849i | −0.213322 | + | 0.0658012i | ||||
\(606\) | −6.01545 | + | 2.89689i | −0.244361 | + | 0.117678i | ||||
\(607\) | 1.57042 | − | 4.00136i | 0.0637413 | − | 0.162410i | −0.895454 | − | 0.445153i | \(-0.853149\pi\) |
0.959196 | + | 0.282743i | \(0.0912444\pi\) | |||||||
\(608\) | 5.23238 | + | 9.06274i | 0.212201 | + | 0.367543i | ||||
\(609\) | −3.33680 | + | 5.77951i | −0.135214 | + | 0.234197i | ||||
\(610\) | −2.89350 | − | 3.62833i | −0.117154 | − | 0.146907i | ||||
\(611\) | −4.57506 | + | 3.11922i | −0.185087 | + | 0.126190i | ||||
\(612\) | 19.4286 | + | 2.92839i | 0.785354 | + | 0.118373i | ||||
\(613\) | 0.154163 | + | 0.0742412i | 0.00622660 | + | 0.00299857i | 0.436994 | − | 0.899464i | \(-0.356043\pi\) |
−0.430768 | + | 0.902463i | \(0.641757\pi\) | |||||||
\(614\) | 4.88404 | − | 4.53173i | 0.197104 | − | 0.182886i | ||||
\(615\) | 2.70770 | − | 0.408121i | 0.109185 | − | 0.0164570i | ||||
\(616\) | 32.5414 | + | 10.0377i | 1.31113 | + | 0.404430i | ||||
\(617\) | 0.435808 | − | 5.81545i | 0.0175450 | − | 0.234121i | −0.981537 | − | 0.191274i | \(-0.938738\pi\) |
0.999082 | − | 0.0428472i | \(-0.0136429\pi\) | |||||||
\(618\) | 3.84899 | − | 4.82648i | 0.154829 | − | 0.194150i | ||||
\(619\) | 0.320011 | + | 0.815375i | 0.0128623 | + | 0.0327727i | 0.937161 | − | 0.348898i | \(-0.113444\pi\) |
−0.924298 | + | 0.381671i | \(0.875349\pi\) | |||||||
\(620\) | −10.4665 | − | 9.71147i | −0.420344 | − | 0.390022i | ||||
\(621\) | 7.98815 | + | 5.44623i | 0.320553 | + | 0.218550i | ||||
\(622\) | 0.824243 | + | 10.9988i | 0.0330491 | + | 0.441010i | ||||
\(623\) | 10.0229 | − | 43.9133i | 0.401560 | − | 1.75935i | ||||
\(624\) | −0.0578545 | + | 0.253477i | −0.00231603 | + | 0.0101472i | ||||
\(625\) | −0.0448653 | − | 0.598685i | −0.00179461 | − | 0.0239474i | ||||
\(626\) | 3.24938 | + | 2.21539i | 0.129871 | + | 0.0885449i | ||||
\(627\) | 2.60687 | + | 2.41882i | 0.104108 | + | 0.0965985i | ||||
\(628\) | −3.76058 | − | 9.58180i | −0.150063 | − | 0.382355i | ||||
\(629\) | 8.21244 | − | 10.2981i | 0.327452 | − | 0.410611i | ||||
\(630\) | −0.975691 | + | 13.0197i | −0.0388725 | + | 0.518717i | ||||
\(631\) | −21.9032 | − | 6.75624i | −0.871953 | − | 0.268962i | −0.173687 | − | 0.984801i | \(-0.555568\pi\) |
−0.698265 | + | 0.715839i | \(0.746044\pi\) | |||||||
\(632\) | −16.4666 | + | 2.48195i | −0.655008 | + | 0.0987265i | ||||
\(633\) | −1.55921 | + | 1.44673i | −0.0619729 | + | 0.0575025i | ||||
\(634\) | −13.5961 | − | 6.54754i | −0.539970 | − | 0.260036i | ||||
\(635\) | −6.08849 | − | 0.917692i | −0.241614 | − | 0.0364175i | ||||
\(636\) | −11.4906 | + | 7.83415i | −0.455631 | + | 0.310644i | ||||
\(637\) | −6.02697 | − | 7.55758i | −0.238797 | − | 0.299442i | ||||
\(638\) | −2.00638 | + | 3.47514i | −0.0794332 | + | 0.137582i | ||||
\(639\) | −10.4961 | − | 18.1797i | −0.415218 | − | 0.719180i | ||||
\(640\) | −4.52033 | + | 11.5176i | −0.178682 | + | 0.455274i | ||||
\(641\) | 29.9739 | − | 14.4347i | 1.18390 | − | 0.570136i | 0.264854 | − | 0.964288i | \(-0.414676\pi\) |
0.919045 | + | 0.394153i | \(0.128962\pi\) | |||||||
\(642\) | 2.73191 | − | 0.842681i | 0.107820 | − | 0.0332580i | ||||
\(643\) | 8.85495 | + | 38.7961i | 0.349205 | + | 1.52997i | 0.778990 | + | 0.627037i | \(0.215732\pi\) |
−0.429785 | + | 0.902931i | \(0.641410\pi\) | |||||||
\(644\) | −15.4199 | −0.607631 | ||||||||
\(645\) | 0.0396153 | − | 6.84223i | 0.00155985 | − | 0.269413i | ||||
\(646\) | 8.49403 | 0.334193 | ||||||||
\(647\) | −1.59035 | − | 6.96776i | −0.0625229 | − | 0.273931i | 0.933998 | − | 0.357279i | \(-0.116296\pi\) |
−0.996520 | + | 0.0833487i | \(0.973438\pi\) | |||||||
\(648\) | −11.0950 | + | 3.42236i | −0.435853 | + | 0.134443i | ||||
\(649\) | −16.2676 | + | 7.83405i | −0.638558 | + | 0.307513i | ||||
\(650\) | 0.548743 | − | 1.39817i | 0.0215235 | − | 0.0548409i | ||||
\(651\) | −13.2817 | − | 23.0046i | −0.520551 | − | 0.901621i | ||||
\(652\) | 4.19386 | − | 7.26398i | 0.164244 | − | 0.284479i | ||||
\(653\) | 13.6325 | + | 17.0946i | 0.533482 | + | 0.668965i | 0.973411 | − | 0.229068i | \(-0.0735677\pi\) |
−0.439929 | + | 0.898033i | \(0.644996\pi\) | |||||||
\(654\) | −8.80390 | + | 6.00240i | −0.344260 | + | 0.234712i | ||||
\(655\) | −19.5656 | − | 2.94903i | −0.764490 | − | 0.115228i | ||||
\(656\) | −1.33609 | − | 0.643427i | −0.0521655 | − | 0.0251216i | ||||
\(657\) | −15.2573 | + | 14.1567i | −0.595245 | + | 0.552306i | ||||
\(658\) | −33.7581 | + | 5.08822i | −1.31603 | + | 0.198359i | ||||
\(659\) | 22.0315 | + | 6.79582i | 0.858225 | + | 0.264727i | 0.692476 | − | 0.721441i | \(-0.256520\pi\) |
0.165749 | + | 0.986168i | \(0.446996\pi\) | |||||||
\(660\) | −0.282012 | + | 3.76319i | −0.0109773 | + | 0.146482i | ||||
\(661\) | 12.0427 | − | 15.1011i | 0.468407 | − | 0.587364i | −0.490373 | − | 0.871513i | \(-0.663139\pi\) |
0.958780 | + | 0.284149i | \(0.0917109\pi\) | |||||||
\(662\) | 0.946771 | + | 2.41233i | 0.0367973 | + | 0.0937580i | ||||
\(663\) | 1.99383 | + | 1.85001i | 0.0774341 | + | 0.0718483i | ||||
\(664\) | 2.82219 | + | 1.92414i | 0.109522 | + | 0.0746710i | ||||
\(665\) | −0.894360 | − | 11.9344i | −0.0346818 | − | 0.462796i | ||||
\(666\) | −0.970738 | + | 4.25308i | −0.0376153 | + | 0.164804i | ||||
\(667\) | 0.999321 | − | 4.37831i | 0.0386939 | − | 0.169529i | ||||
\(668\) | 0.895089 | + | 11.9441i | 0.0346320 | + | 0.462132i | ||||
\(669\) | −2.69764 | − | 1.83922i | −0.104297 | − | 0.0711083i | ||||
\(670\) | −4.63390 | − | 4.29963i | −0.179023 | − | 0.166109i | ||||
\(671\) | 4.02159 | + | 10.2469i | 0.155252 | + | 0.395575i | ||||
\(672\) | −12.8814 | + | 16.1528i | −0.496911 | + | 0.623107i | ||||
\(673\) | −0.885315 | + | 11.8137i | −0.0341264 | + | 0.455385i | 0.953798 | + | 0.300448i | \(0.0971363\pi\) |
−0.987924 | + | 0.154936i | \(0.950483\pi\) | |||||||
\(674\) | 7.40041 | + | 2.28272i | 0.285053 | + | 0.0879272i | ||||
\(675\) | 12.1737 | − | 1.83488i | 0.468564 | − | 0.0706247i | ||||
\(676\) | −12.5709 | + | 11.6641i | −0.483495 | + | 0.448618i | ||||
\(677\) | 39.6619 | + | 19.1002i | 1.52433 | + | 0.734079i | 0.993546 | − | 0.113428i | \(-0.0361830\pi\) |
0.530785 | + | 0.847507i | \(0.321897\pi\) | |||||||
\(678\) | 0.758802 | + | 0.114371i | 0.0291416 | + | 0.00439239i | ||||
\(679\) | −17.7223 | + | 12.0828i | −0.680118 | + | 0.463696i | ||||
\(680\) | 13.8903 | + | 17.4179i | 0.532670 | + | 0.667946i | ||||
\(681\) | −4.62031 | + | 8.00261i | −0.177051 | + | 0.306661i | ||||
\(682\) | −7.98612 | − | 13.8324i | −0.305804 | − | 0.529669i | ||||
\(683\) | −3.21492 | + | 8.19149i | −0.123016 | + | 0.313439i | −0.979094 | − | 0.203407i | \(-0.934799\pi\) |
0.856079 | + | 0.516845i | \(0.172894\pi\) | |||||||
\(684\) | 5.37424 | − | 2.58810i | 0.205489 | − | 0.0989584i | ||||
\(685\) | −12.6003 | + | 3.88667i | −0.481431 | + | 0.148502i | ||||
\(686\) | −7.32774 | − | 32.1049i | −0.279775 | − | 1.22577i | ||||
\(687\) | −7.60678 | −0.290217 | ||||||||
\(688\) | −2.10510 | + | 3.04953i | −0.0802561 | + | 0.116262i | ||||
\(689\) | 8.49188 | 0.323515 | ||||||||
\(690\) | 0.443230 | + | 1.94192i | 0.0168735 | + | 0.0739276i | ||||
\(691\) | −23.4565 | + | 7.23537i | −0.892327 | + | 0.275247i | −0.706818 | − | 0.707396i | \(-0.749870\pi\) |
−0.185510 | + | 0.982642i | \(0.559394\pi\) | |||||||
\(692\) | 7.49796 | − | 3.61083i | 0.285030 | − | 0.137263i | ||||
\(693\) | 11.3141 | − | 28.8280i | 0.429789 | − | 1.09508i | ||||
\(694\) | −4.39078 | − | 7.60506i | −0.166672 | − | 0.288684i | ||||
\(695\) | −11.7164 | + | 20.2935i | −0.444430 | + | 0.769775i | ||||
\(696\) | −2.35149 | − | 2.94868i | −0.0891331 | − | 0.111769i | ||||
\(697\) | −12.8180 | + | 8.73915i | −0.485515 | + | 0.331019i | ||||
\(698\) | −16.9910 | − | 2.56098i | −0.643117 | − | 0.0969343i | ||||
\(699\) | 13.7016 | + | 6.59833i | 0.518241 | + | 0.249572i | ||||
\(700\) | −14.3938 | + | 13.3555i | −0.544035 | + | 0.504791i | ||||
\(701\) | −7.74950 | + | 1.16805i | −0.292695 | + | 0.0441166i | −0.293748 | − | 0.955883i | \(-0.594903\pi\) |
0.00105353 | + | 0.999999i | \(0.499665\pi\) | |||||||
\(702\) | −1.91677 | − | 0.591244i | −0.0723437 | − | 0.0223151i | ||||
\(703\) | 0.298832 | − | 3.98763i | 0.0112707 | − | 0.150396i | ||||
\(704\) | −5.87025 | + | 7.36106i | −0.221243 | + | 0.277430i | ||||
\(705\) | −3.41614 | − | 8.70419i | −0.128659 | − | 0.327819i | ||||
\(706\) | 19.5503 | + | 18.1400i | 0.735784 | + | 0.682708i | ||||
\(707\) | −44.0354 | − | 30.0228i | −1.65612 | − | 1.12913i | ||||
\(708\) | −0.513096 | − | 6.84679i | −0.0192833 | − | 0.257318i | ||||
\(709\) | −1.33852 | + | 5.86443i | −0.0502691 | + | 0.220243i | −0.993823 | − | 0.110975i | \(-0.964603\pi\) |
0.943554 | + | 0.331218i | \(0.107460\pi\) | |||||||
\(710\) | 2.14294 | − | 9.38882i | 0.0804230 | − | 0.352356i | ||||
\(711\) | 1.13169 | + | 15.1014i | 0.0424418 | + | 0.566347i | ||||
\(712\) | 21.0321 | + | 14.3395i | 0.788212 | + | 0.537394i | ||||
\(713\) | 13.1037 | + | 12.1584i | 0.490736 | + | 0.455337i | ||||
\(714\) | 6.12657 | + | 15.6103i | 0.229281 | + | 0.584199i | ||||
\(715\) | 1.43671 | − | 1.80158i | 0.0537299 | − | 0.0673751i | ||||
\(716\) | 2.49815 | − | 33.3356i | 0.0933604 | − | 1.24581i | ||||
\(717\) | −1.37473 | − | 0.424048i | −0.0513402 | − | 0.0158364i | ||||
\(718\) | 5.93591 | − | 0.894694i | 0.221526 | − | 0.0333897i | ||||
\(719\) | 10.4800 | − | 9.72406i | 0.390840 | − | 0.362646i | −0.460139 | − | 0.887847i | \(-0.652200\pi\) |
0.850978 | + | 0.525201i | \(0.176010\pi\) | |||||||
\(720\) | 1.74484 | + | 0.840269i | 0.0650262 | + | 0.0313150i | ||||
\(721\) | 48.7279 | + | 7.34455i | 1.81472 | + | 0.273525i | ||||
\(722\) | −10.4376 | + | 7.11622i | −0.388446 | + | 0.264838i | ||||
\(723\) | −6.59172 | − | 8.26575i | −0.245149 | − | 0.307407i | ||||
\(724\) | −3.88064 | + | 6.72147i | −0.144223 | + | 0.249802i | ||||
\(725\) | −2.85932 | − | 4.95249i | −0.106192 | − | 0.183931i | ||||
\(726\) | 0.853372 | − | 2.17436i | 0.0316716 | − | 0.0806980i | ||||
\(727\) | −6.01941 | + | 2.89879i | −0.223247 | + | 0.107510i | −0.542165 | − | 0.840272i | \(-0.682395\pi\) |
0.318917 | + | 0.947783i | \(0.396681\pi\) | |||||||
\(728\) | 7.55603 | − | 2.33073i | 0.280045 | − | 0.0863825i | ||||
\(729\) | 0.334052 | + | 1.46358i | 0.0123723 | + | 0.0542065i | ||||
\(730\) | −9.54827 | −0.353397 | ||||||||
\(731\) | 16.6170 | + | 35.0229i | 0.614603 | + | 1.29537i | ||||
\(732\) | −4.18591 | −0.154716 | ||||||||
\(733\) | −8.12555 | − | 35.6004i | −0.300124 | − | 1.31493i | −0.869940 | − | 0.493157i | \(-0.835843\pi\) |
0.569816 | − | 0.821772i | \(-0.307014\pi\) | |||||||
\(734\) | −3.91465 | + | 1.20751i | −0.144492 | + | 0.0445700i | ||||
\(735\) | 14.7071 | − | 7.08255i | 0.542478 | − | 0.261244i | ||||
\(736\) | 5.07934 | − | 12.9419i | 0.187227 | − | 0.477046i | ||||
\(737\) | 7.49701 | + | 12.9852i | 0.276156 | + | 0.478316i | ||||
\(738\) | 2.56905 | − | 4.44972i | 0.0945679 | − | 0.163796i | ||||
\(739\) | −12.8940 | − | 16.1686i | −0.474313 | − | 0.594770i | 0.485908 | − | 0.874010i | \(-0.338489\pi\) |
−0.960221 | + | 0.279240i | \(0.909917\pi\) | |||||||
\(740\) | 3.50610 | − | 2.39042i | 0.128887 | − | 0.0878734i | ||||
\(741\) | 0.816515 | + | 0.123070i | 0.0299954 | + | 0.00452108i | ||||
\(742\) | 47.1714 | + | 22.7165i | 1.73172 | + | 0.833950i | ||||
\(743\) | 4.99436 | − | 4.63408i | 0.183225 | − | 0.170008i | −0.583228 | − | 0.812309i | \(-0.698210\pi\) |
0.766453 | + | 0.642301i | \(0.222020\pi\) | |||||||
\(744\) | 14.8443 | − | 2.23742i | 0.544219 | − | 0.0820278i | ||||
\(745\) | 15.6239 | + | 4.81935i | 0.572417 | + | 0.176567i | ||||
\(746\) | −1.96844 | + | 26.2670i | −0.0720696 | + | 0.961702i | ||||
\(747\) | 1.93669 | − | 2.42853i | 0.0708598 | − | 0.0888554i | ||||
\(748\) | −7.81098 | − | 19.9020i | −0.285598 | − | 0.727691i | ||||
\(749\) | 16.7292 | + | 15.5224i | 0.611271 | + | 0.567177i | ||||
\(750\) | 5.54679 | + | 3.78174i | 0.202540 | + | 0.138090i | ||||
\(751\) | −1.46930 | − | 19.6065i | −0.0536156 | − | 0.715450i | −0.957640 | − | 0.287969i | \(-0.907020\pi\) |
0.904024 | − | 0.427481i | \(-0.140599\pi\) | |||||||
\(752\) | −1.12682 | + | 4.93693i | −0.0410910 | + | 0.180031i | ||||
\(753\) | 1.42921 | − | 6.26179i | 0.0520834 | − | 0.228192i | ||||
\(754\) | 0.0696298 | + | 0.929145i | 0.00253577 | + | 0.0338375i | ||||
\(755\) | 9.31553 | + | 6.35122i | 0.339027 | + | 0.231145i | ||||
\(756\) | 19.2225 | + | 17.8359i | 0.699117 | + | 0.648686i | ||||
\(757\) | −14.3182 | − | 36.4821i | −0.520403 | − | 1.32597i | −0.913638 | − | 0.406528i | \(-0.866739\pi\) |
0.393235 | − | 0.919438i | \(-0.371356\pi\) | |||||||
\(758\) | −4.43725 | + | 5.56414i | −0.161168 | + | 0.202099i | ||||
\(759\) | 0.353069 | − | 4.71138i | 0.0128156 | − | 0.171012i | ||||
\(760\) | 6.46301 | + | 1.99357i | 0.234438 | + | 0.0723145i | ||||
\(761\) | −42.8441 | + | 6.45772i | −1.55310 | + | 0.234092i | −0.868820 | − | 0.495128i | \(-0.835121\pi\) |
−0.684279 | + | 0.729220i | \(0.739883\pi\) | |||||||
\(762\) | 1.92005 | − | 1.78155i | 0.0695561 | − | 0.0645386i | ||||
\(763\) | −76.6333 | − | 36.9046i | −2.77431 | − | 1.33604i | ||||
\(764\) | 0.494314 | + | 0.0745058i | 0.0178836 | + | 0.00269553i | ||||
\(765\) | 16.7394 | − | 11.4127i | 0.605213 | − | 0.412627i | ||||
\(766\) | −6.77849 | − | 8.49996i | −0.244917 | − | 0.307116i | ||||
\(767\) | −2.09624 | + | 3.63079i | −0.0756907 | + | 0.131100i | ||||
\(768\) | −5.26608 | − | 9.12112i | −0.190023 | − | 0.329130i | ||||
\(769\) | 17.9092 | − | 45.6318i | 0.645821 | − | 1.64553i | −0.112505 | − | 0.993651i | \(-0.535888\pi\) |
0.758327 | − | 0.651875i | \(-0.226017\pi\) | |||||||
\(770\) | 12.8001 | − | 6.16422i | 0.461284 | − | 0.222143i | ||||
\(771\) | −8.87053 | + | 2.73620i | −0.319464 | + | 0.0985417i | ||||
\(772\) | −2.67656 | − | 11.7268i | −0.0963315 | − | 0.422056i | ||||
\(773\) | −45.8099 | −1.64767 | −0.823833 | − | 0.566832i | \(-0.808169\pi\) | ||||
−0.823833 | + | 0.566832i | \(0.808169\pi\) | |||||||
\(774\) | −9.99135 | − | 8.06291i | −0.359132 | − | 0.289815i | ||||
\(775\) | 22.7623 | 0.817647 | ||||||||
\(776\) | −2.69736 | − | 11.8179i | −0.0968295 | − | 0.424238i | ||||
\(777\) | 7.54398 | − | 2.32701i | 0.270639 | − | 0.0834810i | ||||
\(778\) | 2.82727 | − | 1.36154i | 0.101363 | − | 0.0488137i | ||||
\(779\) | −1.72068 | + | 4.38422i | −0.0616498 | + | 0.157081i | ||||
\(780\) | 0.438126 | + | 0.758857i | 0.0156874 | + | 0.0271714i | ||||
\(781\) | −11.4213 | + | 19.7822i | −0.408685 | + | 0.707864i | ||||
\(782\) | −7.03595 | − | 8.82280i | −0.251605 | − | 0.315503i | ||||
\(783\) | −6.31006 | + | 4.30212i | −0.225503 | + | 0.153745i | ||||
\(784\) | −8.74148 | − | 1.31757i | −0.312196 | − | 0.0470559i | ||||
\(785\) | −9.56269 | − | 4.60515i | −0.341307 | − | 0.164365i | ||||
\(786\) | 6.17014 | − | 5.72506i | 0.220082 | − | 0.204206i | ||||
\(787\) | 47.1951 | − | 7.11352i | 1.68233 | − | 0.253570i | 0.762810 | − | 0.646623i | \(-0.223819\pi\) |
0.919516 | + | 0.393053i | \(0.128581\pi\) | |||||||
\(788\) | 4.89713 | + | 1.51056i | 0.174453 | + | 0.0538116i | ||||
\(789\) | 0.987958 | − | 13.1834i | 0.0351722 | − | 0.469341i | ||||
\(790\) | −4.33156 | + | 5.43160i | −0.154110 | + | 0.193248i | ||||
\(791\) | 2.23791 | + | 5.70211i | 0.0795710 | + | 0.202744i | ||||
\(792\) | 12.8296 | + | 11.9041i | 0.455879 | + | 0.422994i | ||||
\(793\) | 2.11185 | + | 1.43983i | 0.0749939 | + | 0.0511300i | ||||
\(794\) | −0.0552130 | − | 0.736767i | −0.00195944 | − | 0.0261469i | ||||
\(795\) | −3.19096 | + | 13.9805i | −0.113172 | + | 0.495837i | ||||
\(796\) | 3.42293 | − | 14.9968i | 0.121322 | − | 0.531548i | ||||
\(797\) | 2.36014 | + | 31.4939i | 0.0836004 | + | 1.11557i | 0.868415 | + | 0.495839i | \(0.165139\pi\) |
−0.784814 | + | 0.619731i | \(0.787242\pi\) | |||||||
\(798\) | 4.20642 | + | 2.86789i | 0.148906 | + | 0.101522i | ||||
\(799\) | 38.8335 | + | 36.0323i | 1.37383 | + | 1.27473i | ||||
\(800\) | −6.46793 | − | 16.4800i | −0.228676 | − | 0.582657i | ||||
\(801\) | 14.4330 | − | 18.0984i | 0.509965 | − | 0.639476i | ||||
\(802\) | −0.813475 | + | 10.8551i | −0.0287248 | + | 0.383306i | ||||
\(803\) | 21.6419 | + | 6.67563i | 0.763725 | + | 0.235578i | ||||
\(804\) | −5.63806 | + | 0.849801i | −0.198839 | + | 0.0299702i | ||||
\(805\) | −11.6555 | + | 10.8147i | −0.410803 | + | 0.381169i | ||||
\(806\) | −3.34144 | − | 1.60915i | −0.117697 | − | 0.0566799i | ||||
\(807\) | 21.0998 | + | 3.18028i | 0.742747 | + | 0.111951i | ||||
\(808\) | 24.8861 | − | 16.9670i | 0.875489 | − | 0.596898i | ||||
\(809\) | 31.3024 | + | 39.2520i | 1.10054 | + | 1.38003i | 0.917883 | + | 0.396850i | \(0.129897\pi\) |
0.182652 | + | 0.983178i | \(0.441532\pi\) | |||||||
\(810\) | −2.42195 | + | 4.19494i | −0.0850987 | + | 0.147395i | ||||
\(811\) | −18.3687 | − | 31.8155i | −0.645012 | − | 1.11719i | −0.984299 | − | 0.176511i | \(-0.943519\pi\) |
0.339287 | − | 0.940683i | \(-0.389814\pi\) | |||||||
\(812\) | 4.45009 | − | 11.3386i | 0.156167 | − | 0.397908i | ||||
\(813\) | 12.2937 | − | 5.92033i | 0.431158 | − | 0.207635i | ||||
\(814\) | 4.53610 | − | 1.39920i | 0.158990 | − | 0.0490420i | ||||
\(815\) | −1.92455 | − | 8.43199i | −0.0674140 | − | 0.295360i | ||||
\(816\) | 2.48741 | 0.0870767 | ||||||||
\(817\) | 10.1577 | + | 5.94326i | 0.355375 | + | 0.207928i | ||||
\(818\) | 12.9664 | 0.453361 | ||||||||
\(819\) | −1.60011 | − | 7.01056i | −0.0559125 | − | 0.244969i | ||||
\(820\) | −4.77587 | + | 1.47316i | −0.166781 | + | 0.0514450i | ||||
\(821\) | −8.74383 | + | 4.21081i | −0.305162 | + | 0.146958i | −0.580197 | − | 0.814476i | \(-0.697025\pi\) |
0.275036 | + | 0.961434i | \(0.411310\pi\) | |||||||
\(822\) | 2.04930 | − | 5.22152i | 0.0714774 | − | 0.182121i | ||||
\(823\) | 5.78962 | + | 10.0279i | 0.201814 | + | 0.349551i | 0.949113 | − | 0.314936i | \(-0.101983\pi\) |
−0.747299 | + | 0.664488i | \(0.768650\pi\) | |||||||
\(824\) | −13.9245 | + | 24.1179i | −0.485083 | + | 0.840188i | ||||
\(825\) | −3.75105 | − | 4.70366i | −0.130595 | − | 0.163761i | ||||
\(826\) | −21.3570 | + | 14.5610i | −0.743106 | + | 0.506641i | ||||
\(827\) | 13.5650 | + | 2.04459i | 0.471701 | + | 0.0710974i | 0.380591 | − | 0.924743i | \(-0.375721\pi\) |
0.0911095 | + | 0.995841i | \(0.470959\pi\) | |||||||
\(828\) | −7.13998 | − | 3.43843i | −0.248131 | − | 0.119494i | ||||
\(829\) | −25.3708 | + | 23.5407i | −0.881166 | + | 0.817602i | −0.984197 | − | 0.177076i | \(-0.943336\pi\) |
0.103031 | + | 0.994678i | \(0.467146\pi\) | |||||||
\(830\) | 1.40908 | − | 0.212384i | 0.0489097 | − | 0.00737196i | ||||
\(831\) | −4.70967 | − | 1.45274i | −0.163377 | − | 0.0503950i | ||||
\(832\) | −0.163373 | + | 2.18006i | −0.00566393 | + | 0.0755799i | ||||
\(833\) | −57.6607 | + | 72.3043i | −1.99783 | + | 2.50519i | ||||
\(834\) | −3.64178 | − | 9.27911i | −0.126105 | − | 0.321309i | ||||
\(835\) | 9.05356 | + | 8.40047i | 0.313311 | + | 0.290710i | ||||
\(836\) | −5.36291 | − | 3.65637i | −0.185480 | − | 0.126458i | ||||
\(837\) | −2.27168 | − | 30.3135i | −0.0785207 | − | 1.04779i | ||||
\(838\) | 4.43420 | − | 19.4275i | 0.153177 | − | 0.671112i | ||||
\(839\) | 5.36544 | − | 23.5075i | 0.185235 | − | 0.811570i | −0.793849 | − | 0.608115i | \(-0.791926\pi\) |
0.979084 | − | 0.203455i | \(-0.0652169\pi\) | |||||||
\(840\) | 0.997865 | + | 13.3156i | 0.0344296 | + | 0.459431i | ||||
\(841\) | −21.0298 | − | 14.3379i | −0.725167 | − | 0.494411i | ||||
\(842\) | −18.1135 | − | 16.8069i | −0.624232 | − | 0.579202i | ||||
\(843\) | 3.50309 | + | 8.92573i | 0.120653 | + | 0.307418i | ||||
\(844\) | 2.42052 | − | 3.03523i | 0.0833177 | − | 0.104477i | ||||
\(845\) | −1.32142 | + | 17.6331i | −0.0454581 | + | 0.606597i | ||||
\(846\) | −16.7658 | − | 5.17156i | −0.576420 | − | 0.177802i | ||||
\(847\) | 18.4374 | − | 2.77899i | 0.633517 | − | 0.0954874i | ||||
\(848\) | 5.69287 | − | 5.28222i | 0.195494 | − | 0.181392i | ||||
\(849\) | 0.420437 | + | 0.202472i | 0.0144294 | + | 0.00694882i | ||||
\(850\) | −14.2093 | − | 2.14171i | −0.487376 | − | 0.0734601i | ||||
\(851\) | −4.38951 | + | 2.99272i | −0.150471 | + | 0.102589i | ||||
\(852\) | −5.41581 | − | 6.79122i | −0.185543 | − | 0.232663i | ||||
\(853\) | −7.47416 | + | 12.9456i | −0.255911 | + | 0.443250i | −0.965142 | − | 0.261725i | \(-0.915709\pi\) |
0.709232 | + | 0.704975i | \(0.249042\pi\) | |||||||
\(854\) | 7.87938 | + | 13.6475i | 0.269627 | + | 0.467007i | ||||
\(855\) | 2.24709 | − | 5.72548i | 0.0768487 | − | 0.195807i | ||||
\(856\) | −11.6199 | + | 5.59587i | −0.397161 | + | 0.191263i | ||||
\(857\) | −33.2780 | + | 10.2649i | −1.13675 | + | 0.350642i | −0.805322 | − | 0.592837i | \(-0.798008\pi\) |
−0.331431 | + | 0.943479i | \(0.607531\pi\) | |||||||
\(858\) | 0.218123 | + | 0.955657i | 0.00744658 | + | 0.0326256i | ||||
\(859\) | −34.5111 | −1.17750 | −0.588752 | − | 0.808314i | \(-0.700381\pi\) | ||||
−0.588752 | + | 0.808314i | \(0.700381\pi\) | |||||||
\(860\) | 1.78981 | + | 12.3597i | 0.0610319 | + | 0.421463i | ||||
\(861\) | −9.29838 | −0.316888 | ||||||||
\(862\) | 0.380410 | + | 1.66668i | 0.0129568 | + | 0.0567675i | ||||
\(863\) | −19.4875 | + | 6.01110i | −0.663363 | + | 0.204620i | −0.608111 | − | 0.793852i | \(-0.708072\pi\) |
−0.0552518 | + | 0.998472i | \(0.517596\pi\) | |||||||
\(864\) | −21.3016 | + | 10.2583i | −0.724694 | + | 0.348994i | ||||
\(865\) | 3.13506 | − | 7.98799i | 0.106595 | − | 0.271600i | ||||
\(866\) | −7.81049 | − | 13.5282i | −0.265411 | − | 0.459706i | ||||
\(867\) | 6.68173 | − | 11.5731i | 0.226923 | − | 0.393043i | ||||
\(868\) | 30.2290 | + | 37.9059i | 1.02604 | + | 1.28661i | ||||
\(869\) | 13.6153 | − | 9.28273i | 0.461866 | − | 0.314895i | ||||
\(870\) | −1.55585 | − | 0.234507i | −0.0527483 | − | 0.00795052i | ||||
\(871\) | 3.13679 | + | 1.51060i | 0.106286 | + | 0.0511846i | ||||
\(872\) | 35.2368 | − | 32.6950i | 1.19327 | − | 1.10719i | ||||
\(873\) | −10.9003 | + | 1.64296i | −0.368920 | + | 0.0556058i | ||||
\(874\) | −3.27375 | − | 1.00982i | −0.110736 | − | 0.0341576i | ||||
\(875\) | −4.00470 | + | 53.4390i | −0.135384 | + | 1.80657i | ||||
\(876\) | −5.36970 | + | 6.73339i | −0.181425 | + | 0.227500i | ||||
\(877\) | 12.4401 | + | 31.6968i | 0.420072 | + | 1.07032i | 0.971697 | + | 0.236233i | \(0.0759128\pi\) |
−0.551625 | + | 0.834092i | \(0.685992\pi\) | |||||||
\(878\) | −8.45156 | − | 7.84191i | −0.285226 | − | 0.264651i | ||||
\(879\) | −13.3210 | − | 9.08208i | −0.449305 | − | 0.306331i | ||||
\(880\) | −0.157481 | − | 2.10144i | −0.00530868 | − | 0.0708394i | ||||
\(881\) | −6.70780 | + | 29.3888i | −0.225991 | + | 0.990133i | 0.726881 | + | 0.686763i | \(0.240969\pi\) |
−0.952873 | + | 0.303370i | \(0.901888\pi\) | |||||||
\(882\) | 6.81569 | − | 29.8615i | 0.229496 | − | 1.00549i | ||||
\(883\) | 3.54420 | + | 47.2941i | 0.119272 | + | 1.59157i | 0.660585 | + | 0.750751i | \(0.270308\pi\) |
−0.541313 | + | 0.840821i | \(0.682073\pi\) | |||||||
\(884\) | −4.10175 | − | 2.79653i | −0.137957 | − | 0.0940575i | ||||
\(885\) | −5.18981 | − | 4.81544i | −0.174454 | − | 0.161869i | ||||
\(886\) | 6.04491 | + | 15.4022i | 0.203083 | + | 0.517446i | ||||
\(887\) | −5.58398 | + | 7.00209i | −0.187492 | + | 0.235107i | −0.866689 | − | 0.498848i | \(-0.833756\pi\) |
0.679198 | + | 0.733955i | \(0.262328\pi\) | |||||||
\(888\) | −0.333416 | + | 4.44912i | −0.0111887 | + | 0.149303i | ||||
\(889\) | 19.9793 | + | 6.16279i | 0.670083 | + | 0.206693i | ||||
\(890\) | 10.5010 | − | 1.58277i | 0.351995 | − | 0.0530547i | ||||
\(891\) | 8.42241 | − | 7.81485i | 0.282161 | − | 0.261807i | ||||
\(892\) | 5.36905 | + | 2.58560i | 0.179769 | + | 0.0865723i | ||||
\(893\) | 15.9031 | + | 2.39701i | 0.532178 | + | 0.0802129i | ||||
\(894\) | −5.74675 | + | 3.91807i | −0.192200 | + | 0.131040i | ||||
\(895\) | −21.4915 | − | 26.9495i | −0.718382 | − | 0.900822i | ||||
\(896\) | 21.0073 | − | 36.3857i | 0.701804 | − | 1.21556i | ||||
\(897\) | −0.548519 | − | 0.950063i | −0.0183145 | − | 0.0317217i | ||||
\(898\) | 9.56186 | − | 24.3632i | 0.319083 | − | 0.813011i | ||||
\(899\) | −12.7220 | + | 6.12659i | −0.424302 | + | 0.204333i | ||||
\(900\) | −9.64294 | + | 2.97445i | −0.321431 | + | 0.0991484i | ||||
\(901\) | −18.0782 | − | 79.2059i | −0.602273 | − | 2.63873i | ||||
\(902\) | −5.59100 | −0.186160 | ||||||||
\(903\) | −3.59588 | + | 22.9546i | −0.119664 | + | 0.763880i | ||||
\(904\) | −3.46177 | −0.115137 | ||||||||
\(905\) | 1.78081 | + | 7.80225i | 0.0591963 | + | 0.259356i | ||||
\(906\) | −4.58306 | + | 1.41369i | −0.152262 | + | 0.0469666i | ||||
\(907\) | 17.1208 | − | 8.24496i | 0.568488 | − | 0.273769i | −0.127481 | − | 0.991841i | \(-0.540689\pi\) |
0.695969 | + | 0.718072i | \(0.254975\pi\) | |||||||
\(908\) | 6.16183 | − | 15.7001i | 0.204488 | − | 0.521026i | ||||
\(909\) | −13.6953 | − | 23.7209i | −0.454244 | − | 0.786773i | ||||
\(910\) | 1.64942 | − | 2.85688i | 0.0546778 | − | 0.0947047i | ||||
\(911\) | −21.2968 | − | 26.7054i | −0.705595 | − | 0.884788i | 0.291832 | − | 0.956469i | \(-0.405735\pi\) |
−0.997428 | + | 0.0716811i | \(0.977164\pi\) | |||||||
\(912\) | 0.623937 | − | 0.425393i | 0.0206606 | − | 0.0140862i | ||||
\(913\) | −3.34226 | − | 0.503765i | −0.110613 | − | 0.0166722i | ||||
\(914\) | −2.22354 | − | 1.07080i | −0.0735481 | − | 0.0354189i | ||||
\(915\) | −3.16401 | + | 2.93577i | −0.104599 | + | 0.0970537i | ||||
\(916\) | 13.7288 | − | 2.06928i | 0.453612 | − | 0.0683711i | ||||
\(917\) | 64.2040 | + | 19.8043i | 2.12020 | + | 0.653996i | ||||
\(918\) | −1.43411 | + | 19.1369i | −0.0473327 | + | 0.631611i | ||||
\(919\) | 28.1861 | − | 35.3443i | 0.929774 | − | 1.16590i | −0.0561022 | − | 0.998425i | \(-0.517867\pi\) |
0.985876 | − | 0.167475i | \(-0.0535613\pi\) | |||||||
\(920\) | −3.28284 | − | 8.36453i | −0.108232 | − | 0.275770i | ||||
\(921\) | −4.54244 | − | 4.21477i | −0.149678 | − | 0.138881i | ||||
\(922\) | −14.2635 | − | 9.72471i | −0.469744 | − | 0.320266i | ||||
\(923\) | 0.396367 | + | 5.28915i | 0.0130466 | + | 0.174094i | ||||
\(924\) | 2.85149 | − | 12.4932i | 0.0938070 | − | 0.410995i | ||||
\(925\) | −1.50536 | + | 6.59541i | −0.0494959 | + | 0.216856i | ||||
\(926\) | 1.64408 | + | 21.9387i | 0.0540277 | + | 0.720949i | ||||
\(927\) | 20.9250 | + | 14.2664i | 0.687267 | + | 0.468571i | ||||
\(928\) | 8.05064 | + | 7.46990i | 0.264275 | + | 0.245212i | ||||
\(929\) | −7.73067 | − | 19.6974i | −0.253635 | − | 0.646251i | 0.746175 | − | 0.665750i | \(-0.231888\pi\) |
−0.999810 | + | 0.0194985i | \(0.993793\pi\) | |||||||
\(930\) | 3.90480 | − | 4.89647i | 0.128043 | − | 0.160561i | ||||
\(931\) | −2.09814 | + | 27.9977i | −0.0687638 | + | 0.917589i | ||||
\(932\) | −26.5237 | − | 8.18148i | −0.868813 | − | 0.267993i | ||||
\(933\) | 10.1436 | − | 1.52890i | 0.332086 | − | 0.0500539i | ||||
\(934\) | 18.6061 | − | 17.2639i | 0.608809 | − | 0.564892i | ||||
\(935\) | −19.8623 | − | 9.56520i | −0.649568 | − | 0.312815i | ||||
\(936\) | 4.01843 | + | 0.605681i | 0.131346 | + | 0.0197973i | ||||
\(937\) | −41.6658 | + | 28.4073i | −1.36116 | + | 0.928025i | −0.999990 | − | 0.00447367i | \(-0.998576\pi\) |
−0.361173 | + | 0.932499i | \(0.617624\pi\) | |||||||
\(938\) | 13.3835 | + | 16.7824i | 0.436987 | + | 0.547964i | ||||
\(939\) | 1.82884 | − | 3.16764i | 0.0596818 | − | 0.103372i | ||||
\(940\) | 8.53331 | + | 14.7801i | 0.278326 | + | 0.482075i | ||||
\(941\) | −7.34488 | + | 18.7144i | −0.239436 | + | 0.610074i | −0.999194 | − | 0.0401322i | \(-0.987222\pi\) |
0.759758 | + | 0.650206i | \(0.225317\pi\) | |||||||
\(942\) | 4.06790 | − | 1.95900i | 0.132539 | − | 0.0638276i | ||||
\(943\) | 5.97923 | − | 1.84435i | 0.194711 | − | 0.0600603i | ||||
\(944\) | 0.853167 | + | 3.73797i | 0.0277682 | + | 0.121661i | ||||
\(945\) | 27.0390 | 0.879577 | ||||||||
\(946\) | −2.16216 | + | 13.8023i | −0.0702979 | + | 0.448751i | ||||
\(947\) | 11.6359 | 0.378117 | 0.189059 | − | 0.981966i | \(-0.439456\pi\) | ||||
0.189059 | + | 0.981966i | \(0.439456\pi\) | |||||||
\(948\) | 1.39438 | + | 6.10918i | 0.0452874 | + | 0.198417i | ||||
\(949\) | 5.02518 | − | 1.55006i | 0.163124 | − | 0.0503172i | ||||
\(950\) | −3.93052 | + | 1.89284i | −0.127523 | + | 0.0614118i | ||||
\(951\) | −5.12759 | + | 13.0649i | −0.166273 | + | 0.423658i | ||||
\(952\) | −37.8252 | − | 65.5152i | −1.22592 | − | 2.12336i | ||||
\(953\) | 21.3921 | − | 37.0523i | 0.692959 | − | 1.20024i | −0.277905 | − | 0.960609i | \(-0.589640\pi\) |
0.970864 | − | 0.239632i | \(-0.0770267\pi\) | |||||||
\(954\) | 16.7765 | + | 21.0371i | 0.543161 | + | 0.681102i | ||||
\(955\) | 0.425893 | − | 0.290369i | 0.0137816 | − | 0.00939611i | ||||
\(956\) | 2.59648 | + | 0.391357i | 0.0839762 | + | 0.0126574i | ||||
\(957\) | 3.36250 | + | 1.61929i | 0.108694 | + | 0.0523443i | ||||
\(958\) | −1.75328 | + | 1.62680i | −0.0566458 | + | 0.0525596i | ||||
\(959\) | 44.2758 | − | 6.67350i | 1.42974 | − | 0.215499i | ||||
\(960\) | −3.52772 | − | 1.08816i | −0.113857 | − | 0.0351202i | ||||
\(961\) | 1.88352 | − | 25.1338i | 0.0607586 | − | 0.810767i | ||||
\(962\) | 0.687235 | − | 0.861765i | 0.0221573 | − | 0.0277844i | ||||
\(963\) | 4.28492 | + | 10.9178i | 0.138080 | + | 0.351821i | ||||
\(964\) | 14.1454 | + | 13.1250i | 0.455591 | + | 0.422727i | ||||
\(965\) | −10.2477 | − | 6.98675i | −0.329884 | − | 0.224911i | ||||
\(966\) | −0.505455 | − | 6.74483i | −0.0162627 | − | 0.217011i | ||||
\(967\) | −11.0286 | + | 48.3194i | −0.354655 | + | 1.55385i | 0.411633 | + | 0.911350i | \(0.364958\pi\) |
−0.766289 | + | 0.642497i | \(0.777899\pi\) | |||||||
\(968\) | −2.34479 | + | 10.2732i | −0.0753643 | + | 0.330192i | ||||
\(969\) | −0.590363 | − | 7.87784i | −0.0189652 | − | 0.253073i | ||||
\(970\) | −4.17835 | − | 2.84875i | −0.134159 | − | 0.0914679i | ||||
\(971\) | −16.0648 | − | 14.9060i | −0.515544 | − | 0.478355i | 0.378961 | − | 0.925413i | \(-0.376281\pi\) |
−0.894505 | + | 0.447058i | \(0.852472\pi\) | |||||||
\(972\) | 7.63598 | + | 19.4562i | 0.244924 | + | 0.624056i | ||||
\(973\) | 49.6116 | − | 62.2109i | 1.59047 | − | 1.99439i | ||||
\(974\) | −1.88663 | + | 25.1753i | −0.0604514 | + | 0.806668i | ||||
\(975\) | −1.33489 | − | 0.411758i | −0.0427506 | − | 0.0131868i | ||||
\(976\) | 2.31138 | − | 0.348385i | 0.0739856 | − | 0.0111515i | ||||
\(977\) | 21.5917 | − | 20.0342i | 0.690781 | − | 0.640951i | −0.254551 | − | 0.967059i | \(-0.581928\pi\) |
0.945333 | + | 0.326108i | \(0.105737\pi\) | |||||||
\(978\) | 3.31480 | + | 1.59633i | 0.105996 | + | 0.0510449i | ||||
\(979\) | −24.9079 | − | 3.75426i | −0.796060 | − | 0.119987i | ||||
\(980\) | −24.6168 | + | 16.7835i | −0.786355 | + | 0.536128i | ||||
\(981\) | −27.2547 | − | 34.1763i | −0.870175 | − | 1.09117i | ||||
\(982\) | 7.54564 | − | 13.0694i | 0.240791 | − | 0.417062i | ||||
\(983\) | −2.13856 | − | 3.70410i | −0.0682095 | − | 0.118142i | 0.829904 | − | 0.557907i | \(-0.188395\pi\) |
−0.898113 | + | 0.439764i | \(0.855062\pi\) | |||||||
\(984\) | 1.91982 | − | 4.89161i | 0.0612015 | − | 0.155939i | ||||
\(985\) | 4.76103 | − | 2.29279i | 0.151699 | − | 0.0730544i | ||||
\(986\) | 8.51813 | − | 2.62750i | 0.271273 | − | 0.0836765i | ||||
\(987\) | 7.06540 | + | 30.9555i | 0.224894 | + | 0.985325i | ||||
\(988\) | −1.50714 | −0.0479484 | ||||||||
\(989\) | −2.24078 | − | 15.4740i | −0.0712525 | − | 0.492043i | ||||
\(990\) | 7.30144 | 0.232055 | ||||||||
\(991\) | 11.3481 | + | 49.7191i | 0.360483 | + | 1.57938i | 0.751971 | + | 0.659197i | \(0.229103\pi\) |
−0.391487 | + | 0.920183i | \(0.628039\pi\) | |||||||
\(992\) | −41.7718 | + | 12.8849i | −1.32626 | + | 0.409096i | ||||
\(993\) | 2.17153 | − | 1.04575i | 0.0689114 | − | 0.0331860i | ||||
\(994\) | −11.9472 | + | 30.4409i | −0.378941 | + | 0.965527i | ||||
\(995\) | −7.93068 | − | 13.7363i | −0.251420 | − | 0.435471i | ||||
\(996\) | 0.642656 | − | 1.11311i | 0.0203633 | − | 0.0352703i | ||||
\(997\) | 25.9035 | + | 32.4820i | 0.820373 | + | 1.02872i | 0.998996 | + | 0.0447976i | \(0.0142643\pi\) |
−0.178623 | + | 0.983918i | \(0.557164\pi\) | |||||||
\(998\) | 20.7929 | − | 14.1764i | 0.658188 | − | 0.448745i | ||||
\(999\) | 8.93359 | + | 1.34652i | 0.282646 | + | 0.0426021i |
(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 | 43.2.g.a.17.2 | ✓ | 36 | |
3.2 | odd | 2 | 387.2.y.c.361.2 | 36 | |||
4.3 | odd | 2 | 688.2.bg.c.17.2 | 36 | |||
43.9 | even | 21 | 1849.2.a.n.1.12 | 18 | |||
43.34 | odd | 42 | 1849.2.a.o.1.7 | 18 | |||
43.38 | even | 21 | inner | 43.2.g.a.38.2 | yes | 36 | |
129.38 | odd | 42 | 387.2.y.c.253.2 | 36 | |||
172.167 | odd | 42 | 688.2.bg.c.81.2 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.g.a.17.2 | ✓ | 36 | 1.1 | even | 1 | trivial | |
43.2.g.a.38.2 | yes | 36 | 43.38 | even | 21 | inner | |
387.2.y.c.253.2 | 36 | 129.38 | odd | 42 | |||
387.2.y.c.361.2 | 36 | 3.2 | odd | 2 | |||
688.2.bg.c.17.2 | 36 | 4.3 | odd | 2 | |||
688.2.bg.c.81.2 | 36 | 172.167 | odd | 42 | |||
1849.2.a.n.1.12 | 18 | 43.9 | even | 21 | |||
1849.2.a.o.1.7 | 18 | 43.34 | odd | 42 |