Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 3.8 | ||
Character | \(\chi\) | \(=\) | 175.3 |
Dual form | 175.2.x.a.117.8 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.365924 | + | 0.563474i | −0.258748 | + | 0.398436i | −0.944040 | − | 0.329832i | \(-0.893008\pi\) |
0.685292 | + | 0.728268i | \(0.259675\pi\) | |||||||
\(3\) | −0.784887 | + | 2.04470i | −0.453155 | + | 1.18051i | 0.496729 | + | 0.867906i | \(0.334534\pi\) |
−0.949884 | + | 0.312603i | \(0.898799\pi\) | |||||||
\(4\) | 0.629871 | + | 1.41471i | 0.314935 | + | 0.707356i | ||||
\(5\) | 1.68811 | + | 1.46639i | 0.754944 | + | 0.655790i | ||||
\(6\) | −0.864927 | − | 1.19047i | −0.353105 | − | 0.486007i | ||||
\(7\) | 0.965333 | − | 2.46336i | 0.364861 | − | 0.931062i | ||||
\(8\) | −2.35483 | − | 0.372968i | −0.832557 | − | 0.131864i | ||||
\(9\) | −1.33532 | − | 1.20233i | −0.445106 | − | 0.400776i | ||||
\(10\) | −1.44399 | + | 0.414616i | −0.456630 | + | 0.131113i | ||||
\(11\) | 1.59366 | + | 1.76994i | 0.480508 | + | 0.533658i | 0.933843 | − | 0.357682i | \(-0.116433\pi\) |
−0.453336 | + | 0.891340i | \(0.649766\pi\) | |||||||
\(12\) | −3.38704 | + | 0.177507i | −0.977755 | + | 0.0512420i | ||||
\(13\) | −4.81814 | − | 2.45497i | −1.33631 | − | 0.680885i | −0.367813 | − | 0.929900i | \(-0.619893\pi\) |
−0.968500 | + | 0.249014i | \(0.919893\pi\) | |||||||
\(14\) | 1.03480 | + | 1.44534i | 0.276562 | + | 0.386284i | ||||
\(15\) | −4.32330 | + | 2.30072i | −1.11627 | + | 0.594043i | ||||
\(16\) | −1.00058 | + | 1.11126i | −0.250145 | + | 0.277814i | ||||
\(17\) | 3.46071 | − | 4.27363i | 0.839347 | − | 1.03651i | −0.159438 | − | 0.987208i | \(-0.550968\pi\) |
0.998784 | − | 0.0492986i | \(-0.0156986\pi\) | |||||||
\(18\) | 1.16611 | − | 0.312457i | 0.274854 | − | 0.0736469i | ||||
\(19\) | −0.578397 | − | 0.257519i | −0.132693 | − | 0.0590789i | 0.339316 | − | 0.940672i | \(-0.389804\pi\) |
−0.472009 | + | 0.881594i | \(0.656471\pi\) | |||||||
\(20\) | −1.01123 | + | 3.31182i | −0.226118 | + | 0.740546i | ||||
\(21\) | 4.27915 | + | 3.90727i | 0.933788 | + | 0.852637i | ||||
\(22\) | −1.58048 | + | 0.250323i | −0.336959 | + | 0.0533691i | ||||
\(23\) | 3.37220 | + | 2.18993i | 0.703153 | + | 0.456633i | 0.846049 | − | 0.533105i | \(-0.178975\pi\) |
−0.142896 | + | 0.989738i | \(0.545641\pi\) | |||||||
\(24\) | 2.61088 | − | 4.52218i | 0.532944 | − | 0.923086i | ||||
\(25\) | 0.699401 | + | 4.95084i | 0.139880 | + | 0.990168i | ||||
\(26\) | 3.14639 | − | 1.81657i | 0.617057 | − | 0.356258i | ||||
\(27\) | −2.34790 | + | 1.19631i | −0.451853 | + | 0.230231i | ||||
\(28\) | 4.09298 | − | 0.185929i | 0.773500 | − | 0.0351372i | ||||
\(29\) | 3.54543 | − | 4.87987i | 0.658371 | − | 0.906170i | −0.341055 | − | 0.940043i | \(-0.610784\pi\) |
0.999426 | + | 0.0338736i | \(0.0107844\pi\) | |||||||
\(30\) | 0.285605 | − | 3.27796i | 0.0521441 | − | 0.598471i | ||||
\(31\) | −0.869443 | + | 0.0913822i | −0.156157 | + | 0.0164127i | −0.182284 | − | 0.983246i | \(-0.558349\pi\) |
0.0261275 | + | 0.999659i | \(0.491682\pi\) | |||||||
\(32\) | −1.49417 | − | 5.57632i | −0.264135 | − | 0.985763i | ||||
\(33\) | −4.86985 | + | 1.86936i | −0.847732 | + | 0.325414i | ||||
\(34\) | 1.14172 | + | 3.51385i | 0.195803 | + | 0.602620i | ||||
\(35\) | 5.24183 | − | 2.74285i | 0.886030 | − | 0.463627i | ||||
\(36\) | 0.859869 | − | 2.64640i | 0.143311 | − | 0.441067i | ||||
\(37\) | −0.210511 | − | 4.01679i | −0.0346078 | − | 0.660356i | −0.959771 | − | 0.280786i | \(-0.909405\pi\) |
0.925163 | − | 0.379571i | \(-0.123928\pi\) | |||||||
\(38\) | 0.356755 | − | 0.231679i | 0.0578733 | − | 0.0375834i | ||||
\(39\) | 8.80137 | − | 7.92479i | 1.40935 | − | 1.26898i | ||||
\(40\) | −3.42828 | − | 4.08271i | −0.542059 | − | 0.645532i | ||||
\(41\) | 4.20425 | − | 1.36604i | 0.656594 | − | 0.213340i | 0.0382745 | − | 0.999267i | \(-0.487814\pi\) |
0.618319 | + | 0.785927i | \(0.287814\pi\) | |||||||
\(42\) | −3.76750 | + | 0.981425i | −0.581337 | + | 0.151437i | ||||
\(43\) | 4.81389 | + | 4.81389i | 0.734112 | + | 0.734112i | 0.971432 | − | 0.237320i | \(-0.0762690\pi\) |
−0.237320 | + | 0.971432i | \(0.576269\pi\) | |||||||
\(44\) | −1.50016 | + | 3.36941i | −0.226157 | + | 0.507958i | ||||
\(45\) | −0.491080 | − | 3.98775i | −0.0732059 | − | 0.594459i | ||||
\(46\) | −2.46794 | + | 1.09880i | −0.363878 | + | 0.162009i | ||||
\(47\) | −7.66549 | + | 6.20739i | −1.11813 | + | 0.905441i | −0.996200 | − | 0.0870983i | \(-0.972241\pi\) |
−0.121927 | + | 0.992539i | \(0.538907\pi\) | |||||||
\(48\) | −1.48684 | − | 2.91810i | −0.214607 | − | 0.421191i | ||||
\(49\) | −5.13627 | − | 4.75592i | −0.733752 | − | 0.679417i | ||||
\(50\) | −3.04560 | − | 1.41754i | −0.430713 | − | 0.200470i | ||||
\(51\) | 6.02202 | + | 10.4304i | 0.843251 | + | 1.46055i | ||||
\(52\) | 0.438265 | − | 8.36260i | 0.0607765 | − | 1.15968i | ||||
\(53\) | 9.74454 | + | 3.74058i | 1.33852 | + | 0.513808i | 0.919114 | − | 0.393993i | \(-0.128906\pi\) |
0.419402 | + | 0.907801i | \(0.362240\pi\) | |||||||
\(54\) | 0.185061 | − | 1.76074i | 0.0251836 | − | 0.239606i | ||||
\(55\) | 0.0948463 | + | 5.32478i | 0.0127891 | + | 0.717994i | ||||
\(56\) | −3.19195 | + | 5.44075i | −0.426542 | + | 0.727050i | ||||
\(57\) | 0.980526 | − | 0.980526i | 0.129874 | − | 0.129874i | ||||
\(58\) | 1.45232 | + | 3.78343i | 0.190699 | + | 0.496788i | ||||
\(59\) | 3.31734 | + | 0.705123i | 0.431881 | + | 0.0917992i | 0.418722 | − | 0.908114i | \(-0.362478\pi\) |
0.0131587 | + | 0.999913i | \(0.495811\pi\) | |||||||
\(60\) | −5.97798 | − | 4.66707i | −0.771754 | − | 0.602517i | ||||
\(61\) | −0.387026 | − | 1.82082i | −0.0495537 | − | 0.233132i | 0.946400 | − | 0.322996i | \(-0.104690\pi\) |
−0.995954 | + | 0.0898643i | \(0.971357\pi\) | |||||||
\(62\) | 0.266659 | − | 0.523348i | 0.0338657 | − | 0.0664652i | ||||
\(63\) | −4.25079 | + | 2.12872i | −0.535549 | + | 0.268194i | ||||
\(64\) | 0.844556 | + | 0.274413i | 0.105570 | + | 0.0343016i | ||||
\(65\) | −4.53360 | − | 11.2095i | −0.562324 | − | 1.39037i | ||||
\(66\) | 0.728661 | − | 3.42808i | 0.0896919 | − | 0.421967i | ||||
\(67\) | 7.37349 | + | 5.97093i | 0.900815 | + | 0.729466i | 0.963257 | − | 0.268583i | \(-0.0865554\pi\) |
−0.0624416 | + | 0.998049i | \(0.519889\pi\) | |||||||
\(68\) | 8.22576 | + | 2.20409i | 0.997520 | + | 0.267285i | ||||
\(69\) | −7.12456 | + | 5.17630i | −0.857696 | + | 0.623153i | ||||
\(70\) | −0.372585 | + | 3.95731i | −0.0445324 | + | 0.472989i | ||||
\(71\) | −5.22766 | − | 3.79812i | −0.620410 | − | 0.450754i | 0.232655 | − | 0.972559i | \(-0.425259\pi\) |
−0.853065 | + | 0.521805i | \(0.825259\pi\) | |||||||
\(72\) | 2.69602 | + | 3.32930i | 0.317729 | + | 0.392362i | ||||
\(73\) | −9.02783 | − | 0.473128i | −1.05663 | − | 0.0553755i | −0.483901 | − | 0.875123i | \(-0.660781\pi\) |
−0.572726 | + | 0.819747i | \(0.694114\pi\) | |||||||
\(74\) | 2.34039 | + | 1.35122i | 0.272065 | + | 0.157077i | ||||
\(75\) | −10.6719 | − | 2.45579i | −1.23229 | − | 0.283570i | ||||
\(76\) | − | 0.980470i | − | 0.112468i | ||||||
\(77\) | 5.89842 | − | 2.21718i | 0.672187 | − | 0.252671i | ||||
\(78\) | 1.24478 | + | 7.85922i | 0.140943 | + | 0.889882i | ||||
\(79\) | −10.2665 | − | 1.07905i | −1.15507 | − | 0.121403i | −0.492438 | − | 0.870348i | \(-0.663894\pi\) |
−0.662632 | + | 0.748945i | \(0.730561\pi\) | |||||||
\(80\) | −3.31862 | + | 0.408678i | −0.371033 | + | 0.0456916i | ||||
\(81\) | −1.16673 | − | 11.1007i | −0.129637 | − | 1.23341i | ||||
\(82\) | −0.768708 | + | 2.86886i | −0.0848896 | + | 0.316812i | ||||
\(83\) | −1.39322 | + | 8.79644i | −0.152926 | + | 0.965535i | 0.785201 | + | 0.619242i | \(0.212560\pi\) |
−0.938126 | + | 0.346293i | \(0.887440\pi\) | |||||||
\(84\) | −2.83236 | + | 8.51485i | −0.309036 | + | 0.929046i | ||||
\(85\) | 12.1089 | − | 2.13958i | 1.31339 | − | 0.232070i | ||||
\(86\) | −4.47402 | + | 0.950983i | −0.482446 | + | 0.102547i | ||||
\(87\) | 7.19511 | + | 11.0795i | 0.771397 | + | 1.18785i | ||||
\(88\) | −3.09267 | − | 4.76230i | −0.329680 | − | 0.507663i | ||||
\(89\) | 14.2051 | − | 3.01939i | 1.50574 | − | 0.320055i | 0.620135 | − | 0.784495i | \(-0.287078\pi\) |
0.885604 | + | 0.464441i | \(0.153745\pi\) | |||||||
\(90\) | 2.42669 | + | 1.18251i | 0.255796 | + | 0.124647i | ||||
\(91\) | −10.6986 | + | 9.49895i | −1.12152 | + | 0.995761i | ||||
\(92\) | −0.974077 | + | 6.15008i | −0.101554 | + | 0.641190i | ||||
\(93\) | 0.495566 | − | 1.84948i | 0.0513878 | − | 0.191782i | ||||
\(94\) | −0.692715 | − | 6.59074i | −0.0714481 | − | 0.679783i | ||||
\(95\) | −0.598772 | − | 1.28287i | −0.0614327 | − | 0.131620i | ||||
\(96\) | 12.5747 | + | 1.32165i | 1.28340 | + | 0.134890i | ||||
\(97\) | −1.14852 | − | 7.25146i | −0.116614 | − | 0.736275i | −0.974824 | − | 0.222975i | \(-0.928423\pi\) |
0.858210 | − | 0.513299i | \(-0.171577\pi\) | |||||||
\(98\) | 4.55932 | − | 1.15385i | 0.460561 | − | 0.116556i | ||||
\(99\) | − | 4.27954i | − | 0.430110i | ||||||
\(100\) | −6.56349 | + | 4.10784i | −0.656349 | + | 0.410784i | ||||
\(101\) | −7.48294 | − | 4.32028i | −0.744581 | − | 0.429884i | 0.0791518 | − | 0.996863i | \(-0.474779\pi\) |
−0.823732 | + | 0.566979i | \(0.808112\pi\) | |||||||
\(102\) | −8.08089 | − | 0.423501i | −0.800127 | − | 0.0419329i | ||||
\(103\) | −12.3272 | − | 15.2229i | −1.21464 | − | 1.49995i | −0.811011 | − | 0.585031i | \(-0.801082\pi\) |
−0.403628 | − | 0.914923i | \(-0.632251\pi\) | |||||||
\(104\) | 10.4303 | + | 7.57804i | 1.02277 | + | 0.743088i | ||||
\(105\) | 1.49407 | + | 12.8708i | 0.145807 | + | 1.25606i | ||||
\(106\) | −5.67348 | + | 4.12203i | −0.551058 | + | 0.400367i | ||||
\(107\) | −5.05946 | − | 1.35568i | −0.489117 | − | 0.131058i | 0.00582782 | − | 0.999983i | \(-0.498145\pi\) |
−0.494944 | + | 0.868925i | \(0.664812\pi\) | |||||||
\(108\) | −3.17131 | − | 2.56808i | −0.305160 | − | 0.247113i | ||||
\(109\) | −0.843741 | + | 3.96949i | −0.0808158 | + | 0.380208i | −0.999904 | − | 0.0138431i | \(-0.995593\pi\) |
0.919088 | + | 0.394051i | \(0.128927\pi\) | |||||||
\(110\) | −3.03508 | − | 1.89502i | −0.289384 | − | 0.180684i | ||||
\(111\) | 8.37836 | + | 2.72230i | 0.795239 | + | 0.258389i | ||||
\(112\) | 1.77153 | + | 3.53752i | 0.167394 | + | 0.334264i | ||||
\(113\) | −2.16130 | + | 4.24179i | −0.203318 | + | 0.399034i | −0.970040 | − | 0.242945i | \(-0.921886\pi\) |
0.766722 | + | 0.641979i | \(0.221886\pi\) | |||||||
\(114\) | 0.193703 | + | 0.911299i | 0.0181419 | + | 0.0853510i | ||||
\(115\) | 2.48134 | + | 8.64181i | 0.231386 | + | 0.805853i | ||||
\(116\) | 9.13678 | + | 1.94208i | 0.848329 | + | 0.180318i | ||||
\(117\) | 3.48209 | + | 9.07115i | 0.321919 | + | 0.838628i | ||||
\(118\) | −1.61121 | + | 1.61121i | −0.148324 | + | 0.148324i | ||||
\(119\) | −7.18673 | − | 12.6504i | −0.658807 | − | 1.15966i | ||||
\(120\) | 11.0387 | − | 3.80535i | 1.00769 | − | 0.347379i | ||||
\(121\) | 0.556879 | − | 5.29835i | 0.0506254 | − | 0.481668i | ||||
\(122\) | 1.16761 | + | 0.448202i | 0.105710 | + | 0.0405783i | ||||
\(123\) | −0.506711 | + | 9.66863i | −0.0456886 | + | 0.871791i | ||||
\(124\) | −0.676917 | − | 1.17245i | −0.0607889 | − | 0.105289i | ||||
\(125\) | −6.07920 | + | 9.38314i | −0.543740 | + | 0.839253i | ||||
\(126\) | 0.355986 | − | 3.17416i | 0.0317138 | − | 0.282777i | ||||
\(127\) | −5.95516 | − | 11.6877i | −0.528435 | − | 1.03711i | −0.988781 | − | 0.149372i | \(-0.952275\pi\) |
0.460346 | − | 0.887740i | \(-0.347725\pi\) | |||||||
\(128\) | 8.50931 | − | 6.89070i | 0.752124 | − | 0.609058i | ||||
\(129\) | −13.6213 | + | 6.06461i | −1.19929 | + | 0.533959i | ||||
\(130\) | 7.97523 | + | 1.54727i | 0.699474 | + | 0.135705i | ||||
\(131\) | 2.06205 | − | 4.63143i | 0.180162 | − | 0.404650i | −0.800778 | − | 0.598961i | \(-0.795580\pi\) |
0.980940 | + | 0.194311i | \(0.0622471\pi\) | |||||||
\(132\) | −5.71198 | − | 5.71198i | −0.497164 | − | 0.497164i | ||||
\(133\) | −1.19271 | + | 1.17621i | −0.103421 | + | 0.101990i | ||||
\(134\) | −6.06261 | + | 1.96986i | −0.523729 | + | 0.170170i | ||||
\(135\) | −5.71776 | − | 1.42343i | −0.492106 | − | 0.122509i | ||||
\(136\) | −9.74331 | + | 8.77292i | −0.835482 | + | 0.752271i | ||||
\(137\) | 2.18673 | − | 1.42008i | 0.186825 | − | 0.121325i | −0.447838 | − | 0.894115i | \(-0.647806\pi\) |
0.634663 | + | 0.772789i | \(0.281139\pi\) | |||||||
\(138\) | −0.309659 | − | 5.90864i | −0.0263599 | − | 0.502977i | ||||
\(139\) | 1.39562 | − | 4.29528i | 0.118375 | − | 0.364321i | −0.874261 | − | 0.485456i | \(-0.838654\pi\) |
0.992636 | + | 0.121135i | \(0.0386535\pi\) | |||||||
\(140\) | 7.18203 | + | 5.68804i | 0.606992 | + | 0.480727i | ||||
\(141\) | −6.67571 | − | 20.5457i | −0.562196 | − | 1.73026i | ||||
\(142\) | 4.05307 | − | 1.55583i | 0.340126 | − | 0.130562i | ||||
\(143\) | −3.33335 | − | 12.4402i | −0.278749 | − | 1.04030i | ||||
\(144\) | 2.67219 | − | 0.280858i | 0.222682 | − | 0.0234048i | ||||
\(145\) | 13.1409 | − | 3.03875i | 1.09129 | − | 0.252354i | ||||
\(146\) | 3.57010 | − | 4.91382i | 0.295463 | − | 0.406670i | ||||
\(147\) | 13.7558 | − | 6.76927i | 1.13456 | − | 0.558320i | ||||
\(148\) | 5.55001 | − | 2.82787i | 0.456208 | − | 0.232450i | ||||
\(149\) | −3.79735 | + | 2.19240i | −0.311091 | + | 0.179608i | −0.647415 | − | 0.762138i | \(-0.724150\pi\) |
0.336324 | + | 0.941746i | \(0.390816\pi\) | |||||||
\(150\) | 5.28890 | − | 5.11473i | 0.431837 | − | 0.417616i | ||||
\(151\) | −1.93684 | + | 3.35470i | −0.157618 | + | 0.273002i | −0.934009 | − | 0.357249i | \(-0.883715\pi\) |
0.776391 | + | 0.630251i | \(0.217048\pi\) | |||||||
\(152\) | 1.26598 | + | 0.822136i | 0.102684 | + | 0.0666841i | ||||
\(153\) | −9.75945 | + | 1.54575i | −0.789005 | + | 0.124966i | ||||
\(154\) | −0.909052 | + | 4.13493i | −0.0732535 | + | 0.333202i | ||||
\(155\) | −1.60171 | − | 1.12068i | −0.128653 | − | 0.0900152i | ||||
\(156\) | 16.7550 | + | 7.45982i | 1.34148 | + | 0.597264i | ||||
\(157\) | 13.6785 | − | 3.66515i | 1.09166 | − | 0.292511i | 0.332299 | − | 0.943174i | \(-0.392176\pi\) |
0.759366 | + | 0.650664i | \(0.225509\pi\) | |||||||
\(158\) | 4.36478 | − | 5.39005i | 0.347243 | − | 0.428809i | ||||
\(159\) | −15.2967 | + | 16.9887i | −1.21311 | + | 1.34729i | ||||
\(160\) | 5.65474 | − | 11.6045i | 0.447047 | − | 0.917413i | ||||
\(161\) | 8.64989 | − | 6.19293i | 0.681707 | − | 0.488071i | ||||
\(162\) | 6.68191 | + | 3.40461i | 0.524981 | + | 0.267491i | ||||
\(163\) | 22.8098 | − | 1.19541i | 1.78660 | − | 0.0936319i | 0.869907 | − | 0.493216i | \(-0.164179\pi\) |
0.916696 | + | 0.399585i | \(0.130846\pi\) | |||||||
\(164\) | 4.58070 | + | 5.08738i | 0.357692 | + | 0.397258i | ||||
\(165\) | −10.9620 | − | 3.98542i | −0.853393 | − | 0.310265i | ||||
\(166\) | −4.44675 | − | 4.00388i | −0.345135 | − | 0.310761i | ||||
\(167\) | −3.49037 | − | 0.552820i | −0.270093 | − | 0.0427785i | 0.0199188 | − | 0.999802i | \(-0.493659\pi\) |
−0.290012 | + | 0.957023i | \(0.593659\pi\) | |||||||
\(168\) | −8.61938 | − | 10.7969i | −0.665000 | − | 0.833002i | ||||
\(169\) | 9.54644 | + | 13.1396i | 0.734342 | + | 1.01073i | ||||
\(170\) | −3.22533 | + | 7.60595i | −0.247371 | + | 0.583350i | ||||
\(171\) | 0.462723 | + | 1.03929i | 0.0353853 | + | 0.0794767i | ||||
\(172\) | −3.77815 | + | 9.84240i | −0.288081 | + | 0.750476i | ||||
\(173\) | 2.13861 | − | 3.29316i | 0.162595 | − | 0.250375i | −0.747977 | − | 0.663725i | \(-0.768975\pi\) |
0.910572 | + | 0.413350i | \(0.135641\pi\) | |||||||
\(174\) | −8.87588 | −0.672879 | ||||||||
\(175\) | 12.8709 | + | 3.05633i | 0.972945 | + | 0.231037i | ||||
\(176\) | −3.56145 | −0.268454 | ||||||||
\(177\) | −4.04550 | + | 6.22953i | −0.304079 | + | 0.468240i | ||||
\(178\) | −3.49665 | + | 9.10908i | −0.262085 | + | 0.682755i | ||||
\(179\) | 2.09248 | + | 4.69980i | 0.156400 | + | 0.351279i | 0.974702 | − | 0.223509i | \(-0.0717511\pi\) |
−0.818302 | + | 0.574788i | \(0.805084\pi\) | |||||||
\(180\) | 5.33221 | − | 3.20651i | 0.397439 | − | 0.238999i | ||||
\(181\) | −10.5053 | − | 14.4592i | −0.780849 | − | 1.07475i | −0.995188 | − | 0.0979875i | \(-0.968759\pi\) |
0.214338 | − | 0.976759i | \(-0.431241\pi\) | |||||||
\(182\) | −1.43755 | − | 9.50427i | −0.106558 | − | 0.704503i | ||||
\(183\) | 4.02680 | + | 0.637782i | 0.297669 | + | 0.0471462i | ||||
\(184\) | −7.12418 | − | 6.41464i | −0.525202 | − | 0.472894i | ||||
\(185\) | 5.53482 | − | 7.08946i | 0.406928 | − | 0.521227i | ||||
\(186\) | 0.860793 | + | 0.956007i | 0.0631164 | + | 0.0700978i | ||||
\(187\) | 13.0793 | − | 0.685457i | 0.956452 | − | 0.0501256i | ||||
\(188\) | −13.6099 | − | 6.93461i | −0.992607 | − | 0.505758i | ||||
\(189\) | 0.680446 | + | 6.93855i | 0.0494952 | + | 0.504705i | ||||
\(190\) | 0.941972 | + | 0.132043i | 0.0683378 | + | 0.00957938i | ||||
\(191\) | −5.77770 | + | 6.41679i | −0.418060 | + | 0.464302i | −0.914983 | − | 0.403492i | \(-0.867796\pi\) |
0.496923 | + | 0.867794i | \(0.334463\pi\) | |||||||
\(192\) | −1.22397 | + | 1.51148i | −0.0883327 | + | 0.109082i | ||||
\(193\) | −15.7828 | + | 4.22898i | −1.13607 | + | 0.304409i | −0.777369 | − | 0.629045i | \(-0.783446\pi\) |
−0.358699 | + | 0.933453i | \(0.616780\pi\) | |||||||
\(194\) | 4.50628 | + | 2.00633i | 0.323532 | + | 0.144046i | ||||
\(195\) | 26.4785 | − | 0.471641i | 1.89616 | − | 0.0337749i | ||||
\(196\) | 3.49308 | − | 10.2620i | 0.249506 | − | 0.732997i | ||||
\(197\) | −24.2100 | + | 3.83449i | −1.72489 | + | 0.273196i | −0.938687 | − | 0.344770i | \(-0.887957\pi\) |
−0.786205 | + | 0.617966i | \(0.787957\pi\) | |||||||
\(198\) | 2.41141 | + | 1.56599i | 0.171372 | + | 0.111290i | ||||
\(199\) | 8.73867 | − | 15.1358i | 0.619468 | − | 1.07295i | −0.370115 | − | 0.928986i | \(-0.620682\pi\) |
0.989583 | − | 0.143964i | \(-0.0459848\pi\) | |||||||
\(200\) | 0.199537 | − | 11.9192i | 0.0141094 | − | 0.842817i | ||||
\(201\) | −17.9961 | + | 10.3901i | −1.26935 | + | 0.732859i | ||||
\(202\) | 5.17256 | − | 2.63555i | 0.363940 | − | 0.185437i | ||||
\(203\) | −8.59835 | − | 13.4444i | −0.603486 | − | 0.943610i | ||||
\(204\) | −10.9630 | + | 15.0893i | −0.767562 | + | 1.05646i | ||||
\(205\) | 9.10037 | + | 3.85905i | 0.635598 | + | 0.269527i | ||||
\(206\) | 13.0885 | − | 1.37566i | 0.911921 | − | 0.0958468i | ||||
\(207\) | −1.86995 | − | 6.97875i | −0.129971 | − | 0.485057i | ||||
\(208\) | 7.54903 | − | 2.89780i | 0.523431 | − | 0.200926i | ||||
\(209\) | −0.465977 | − | 1.43413i | −0.0322323 | − | 0.0992007i | ||||
\(210\) | −7.79908 | − | 3.86787i | −0.538188 | − | 0.266908i | ||||
\(211\) | 1.48748 | − | 4.57800i | 0.102403 | − | 0.315163i | −0.886710 | − | 0.462327i | \(-0.847015\pi\) |
0.989112 | + | 0.147164i | \(0.0470146\pi\) | |||||||
\(212\) | 0.845956 | + | 16.1418i | 0.0581005 | + | 1.10862i | ||||
\(213\) | 11.8691 | − | 7.70791i | 0.813260 | − | 0.528138i | ||||
\(214\) | 2.61527 | − | 2.35480i | 0.178776 | − | 0.160971i | ||||
\(215\) | 1.06732 | + | 15.1854i | 0.0727903 | + | 1.03564i | ||||
\(216\) | 5.97508 | − | 1.94142i | 0.406553 | − | 0.132097i | ||||
\(217\) | −0.614195 | + | 2.22996i | −0.0416943 | + | 0.151380i | ||||
\(218\) | −1.92796 | − | 1.92796i | −0.130578 | − | 0.130578i | ||||
\(219\) | 8.05323 | − | 18.0879i | 0.544187 | − | 1.22226i | ||||
\(220\) | −7.47330 | + | 3.48811i | −0.503850 | + | 0.235168i | ||||
\(221\) | −27.1658 | + | 12.0950i | −1.82737 | + | 0.813598i | ||||
\(222\) | −4.59979 | + | 3.72484i | −0.308718 | + | 0.249995i | ||||
\(223\) | 2.94413 | + | 5.77818i | 0.197154 | + | 0.386936i | 0.968325 | − | 0.249691i | \(-0.0803291\pi\) |
−0.771172 | + | 0.636627i | \(0.780329\pi\) | |||||||
\(224\) | −15.1788 | − | 1.70233i | −1.01418 | − | 0.113742i | ||||
\(225\) | 5.01861 | − | 7.45186i | 0.334574 | − | 0.496791i | ||||
\(226\) | −1.59927 | − | 2.77001i | −0.106382 | − | 0.184258i | ||||
\(227\) | −1.18298 | + | 22.5726i | −0.0785172 | + | 1.49820i | 0.621129 | + | 0.783708i | \(0.286674\pi\) |
−0.699646 | + | 0.714489i | \(0.746659\pi\) | |||||||
\(228\) | 2.00477 | + | 0.769558i | 0.132769 | + | 0.0509652i | ||||
\(229\) | −1.37076 | + | 13.0419i | −0.0905822 | + | 0.861832i | 0.851026 | + | 0.525123i | \(0.175981\pi\) |
−0.941609 | + | 0.336709i | \(0.890686\pi\) | |||||||
\(230\) | −5.77742 | − | 1.76408i | −0.380952 | − | 0.116320i | ||||
\(231\) | −0.0961221 | + | 13.8007i | −0.00632437 | + | 0.908022i | ||||
\(232\) | −10.1689 | + | 10.1689i | −0.667623 | + | 0.667623i | ||||
\(233\) | −7.21933 | − | 18.8070i | −0.472954 | − | 1.23209i | −0.937949 | − | 0.346774i | \(-0.887277\pi\) |
0.464994 | − | 0.885314i | \(-0.346056\pi\) | |||||||
\(234\) | −6.38554 | − | 1.35729i | −0.417436 | − | 0.0887287i | ||||
\(235\) | −22.0426 | − | 0.761865i | −1.43790 | − | 0.0496986i | ||||
\(236\) | 1.09195 | + | 5.13722i | 0.0710799 | + | 0.334405i | ||||
\(237\) | 10.2644 | − | 20.1450i | 0.666743 | − | 1.30856i | ||||
\(238\) | 9.75800 | + | 0.579571i | 0.632517 | + | 0.0375680i | ||||
\(239\) | 13.8342 | + | 4.49501i | 0.894861 | + | 0.290758i | 0.720114 | − | 0.693855i | \(-0.244089\pi\) |
0.174747 | + | 0.984613i | \(0.444089\pi\) | |||||||
\(240\) | 1.76912 | − | 7.10635i | 0.114196 | − | 0.458713i | ||||
\(241\) | −5.97347 | + | 28.1030i | −0.384785 | + | 1.81027i | 0.178420 | + | 0.983954i | \(0.442901\pi\) |
−0.563205 | + | 0.826317i | \(0.690432\pi\) | |||||||
\(242\) | 2.78171 | + | 2.25258i | 0.178815 | + | 0.144802i | ||||
\(243\) | 15.9775 | + | 4.28115i | 1.02496 | + | 0.274636i | ||||
\(244\) | 2.33216 | − | 1.69441i | 0.149301 | − | 0.108474i | ||||
\(245\) | −1.69652 | − | 15.5603i | −0.108387 | − | 0.994109i | ||||
\(246\) | −5.26260 | − | 3.82351i | −0.335531 | − | 0.243778i | ||||
\(247\) | 2.15460 | + | 2.66071i | 0.137094 | + | 0.169297i | ||||
\(248\) | 2.08147 | + | 0.109085i | 0.132174 | + | 0.00692692i | ||||
\(249\) | −16.8926 | − | 9.75293i | −1.07052 | − | 0.618067i | ||||
\(250\) | −3.06263 | − | 6.85899i | −0.193698 | − | 0.433801i | ||||
\(251\) | − | 10.7051i | − | 0.675699i | −0.941200 | − | 0.337850i | \(-0.890300\pi\) | ||
0.941200 | − | 0.337850i | \(-0.109700\pi\) | |||||||
\(252\) | −5.68898 | − | 4.67282i | −0.358372 | − | 0.294360i | ||||
\(253\) | 1.49810 | + | 9.45863i | 0.0941847 | + | 0.594659i | ||||
\(254\) | 8.76483 | + | 0.921221i | 0.549955 | + | 0.0578026i | ||||
\(255\) | −5.12929 | + | 26.4383i | −0.321209 | + | 1.65563i | ||||
\(256\) | 0.954615 | + | 9.08256i | 0.0596635 | + | 0.567660i | ||||
\(257\) | 1.51351 | − | 5.64851i | 0.0944103 | − | 0.352344i | −0.902519 | − | 0.430650i | \(-0.858284\pi\) |
0.996929 | + | 0.0783057i | \(0.0249510\pi\) | |||||||
\(258\) | 1.56713 | − | 9.89446i | 0.0975651 | − | 0.616002i | ||||
\(259\) | −10.0980 | − | 3.35898i | −0.627460 | − | 0.208717i | ||||
\(260\) | 13.0027 | − | 13.4743i | 0.806392 | − | 0.835640i | ||||
\(261\) | −10.6015 | + | 2.25342i | −0.656216 | + | 0.139483i | ||||
\(262\) | 1.85514 | + | 2.85667i | 0.114611 | + | 0.176485i | ||||
\(263\) | 1.38185 | + | 2.12786i | 0.0852085 | + | 0.131210i | 0.878705 | − | 0.477365i | \(-0.158408\pi\) |
−0.793496 | + | 0.608575i | \(0.791741\pi\) | |||||||
\(264\) | 12.1649 | − | 2.58572i | 0.748696 | − | 0.159140i | ||||
\(265\) | 10.9647 | + | 20.6038i | 0.673554 | + | 1.26568i | ||||
\(266\) | −0.226322 | − | 1.10246i | −0.0138767 | − | 0.0675963i | ||||
\(267\) | −4.97566 | + | 31.4151i | −0.304505 | + | 1.92257i | ||||
\(268\) | −3.80281 | + | 14.1923i | −0.232294 | + | 0.866932i | ||||
\(269\) | 2.44295 | + | 23.2431i | 0.148949 | + | 1.41716i | 0.772321 | + | 0.635232i | \(0.219096\pi\) |
−0.623372 | + | 0.781926i | \(0.714238\pi\) | |||||||
\(270\) | 2.89433 | − | 2.70094i | 0.176144 | − | 0.164374i | ||||
\(271\) | −19.9516 | − | 2.09700i | −1.21197 | − | 0.127384i | −0.523104 | − | 0.852269i | \(-0.675226\pi\) |
−0.688870 | + | 0.724885i | \(0.741893\pi\) | |||||||
\(272\) | 1.28637 | + | 8.12184i | 0.0779978 | + | 0.492459i | ||||
\(273\) | −11.0253 | − | 29.3310i | −0.667284 | − | 1.77519i | ||||
\(274\) | 1.75181i | 0.105831i | ||||||||
\(275\) | −7.64810 | + | 9.12788i | −0.461198 | + | 0.550432i | ||||
\(276\) | −11.8105 | − | 6.81881i | −0.710910 | − | 0.410444i | ||||
\(277\) | 10.5667 | + | 0.553779i | 0.634894 | + | 0.0332734i | 0.367068 | − | 0.930194i | \(-0.380362\pi\) |
0.267826 | + | 0.963467i | \(0.413695\pi\) | |||||||
\(278\) | 1.90959 | + | 2.35814i | 0.114529 | + | 0.141432i | ||||
\(279\) | 1.27086 | + | 0.923331i | 0.0760841 | + | 0.0552784i | ||||
\(280\) | −13.3666 | + | 4.50392i | −0.798807 | + | 0.269160i | ||||
\(281\) | −10.1750 | + | 7.39260i | −0.606992 | + | 0.441006i | −0.848354 | − | 0.529430i | \(-0.822406\pi\) |
0.241362 | + | 0.970435i | \(0.422406\pi\) | |||||||
\(282\) | 14.0198 | + | 3.75659i | 0.834867 | + | 0.223702i | ||||
\(283\) | 19.0277 | + | 15.4083i | 1.13108 | + | 0.915929i | 0.997179 | − | 0.0750662i | \(-0.0239168\pi\) |
0.133899 | + | 0.990995i | \(0.457250\pi\) | |||||||
\(284\) | 2.08050 | − | 9.78797i | 0.123455 | − | 0.580809i | ||||
\(285\) | 3.09306 | − | 0.217398i | 0.183217 | − | 0.0128775i | ||||
\(286\) | 8.22951 | + | 2.67393i | 0.486621 | + | 0.158113i | ||||
\(287\) | 0.693446 | − | 11.6753i | 0.0409328 | − | 0.689169i | ||||
\(288\) | −4.70936 | + | 9.24265i | −0.277502 | + | 0.544628i | ||||
\(289\) | −2.75284 | − | 12.9511i | −0.161932 | − | 0.761829i | ||||
\(290\) | −3.09631 | + | 8.51649i | −0.181821 | + | 0.500106i | ||||
\(291\) | 15.7285 | + | 3.34320i | 0.922023 | + | 0.195982i | ||||
\(292\) | −5.01702 | − | 13.0698i | −0.293599 | − | 0.764852i | ||||
\(293\) | 2.01237 | − | 2.01237i | 0.117564 | − | 0.117564i | −0.645877 | − | 0.763441i | \(-0.723508\pi\) |
0.763441 | + | 0.645877i | \(0.223508\pi\) | |||||||
\(294\) | −1.21928 | + | 10.2281i | −0.0711101 | + | 0.596514i | ||||
\(295\) | 4.56604 | + | 6.05484i | 0.265845 | + | 0.352526i | ||||
\(296\) | −1.00242 | + | 9.53736i | −0.0582643 | + | 0.554348i | ||||
\(297\) | −5.85916 | − | 2.24912i | −0.339983 | − | 0.130507i | ||||
\(298\) | 0.154182 | − | 2.94196i | 0.00893150 | − | 0.170423i | ||||
\(299\) | −10.8715 | − | 18.8301i | −0.628718 | − | 1.08897i | ||||
\(300\) | −3.24771 | − | 16.6446i | −0.187507 | − | 0.960974i | ||||
\(301\) | 16.5053 | − | 7.21133i | 0.951352 | − | 0.415654i | ||||
\(302\) | −1.18155 | − | 2.31893i | −0.0679907 | − | 0.133439i | ||||
\(303\) | 14.7069 | − | 11.9094i | 0.844892 | − | 0.684180i | ||||
\(304\) | 0.864902 | − | 0.385079i | 0.0496055 | − | 0.0220858i | ||||
\(305\) | 2.01669 | − | 3.64126i | 0.115475 | − | 0.208498i | ||||
\(306\) | 2.70023 | − | 6.06483i | 0.154362 | − | 0.346703i | ||||
\(307\) | −0.990654 | − | 0.990654i | −0.0565396 | − | 0.0565396i | 0.678272 | − | 0.734811i | \(-0.262729\pi\) |
−0.734811 | + | 0.678272i | \(0.762729\pi\) | |||||||
\(308\) | 6.85192 | + | 6.94803i | 0.390424 | + | 0.395901i | ||||
\(309\) | 40.8017 | − | 13.2573i | 2.32113 | − | 0.754180i | ||||
\(310\) | 1.21758 | − | 0.492440i | 0.0691539 | − | 0.0279687i | ||||
\(311\) | 12.3549 | − | 11.1244i | 0.700582 | − | 0.630807i | −0.239841 | − | 0.970812i | \(-0.577095\pi\) |
0.940424 | + | 0.340005i | \(0.110429\pi\) | |||||||
\(312\) | −23.6814 | + | 15.3789i | −1.34070 | + | 0.870658i | ||||
\(313\) | 1.53132 | + | 29.2193i | 0.0865553 | + | 1.65157i | 0.604826 | + | 0.796358i | \(0.293243\pi\) |
−0.518271 | + | 0.855217i | \(0.673424\pi\) | |||||||
\(314\) | −2.94009 | + | 9.04866i | −0.165919 | + | 0.510646i | ||||
\(315\) | −10.2973 | − | 2.63980i | −0.580188 | − | 0.148736i | ||||
\(316\) | −4.94001 | − | 15.2038i | −0.277898 | − | 0.855281i | ||||
\(317\) | 0.225984 | − | 0.0867471i | 0.0126925 | − | 0.00487220i | −0.352013 | − | 0.935995i | \(-0.614503\pi\) |
0.364706 | + | 0.931123i | \(0.381170\pi\) | |||||||
\(318\) | −3.97527 | − | 14.8359i | −0.222922 | − | 0.831956i | ||||
\(319\) | 14.2873 | − | 1.50166i | 0.799937 | − | 0.0840767i | ||||
\(320\) | 1.02330 | + | 1.70169i | 0.0572044 | + | 0.0951272i | ||||
\(321\) | 6.74306 | − | 9.28103i | 0.376361 | − | 0.518017i | ||||
\(322\) | 0.324349 | + | 7.14014i | 0.0180753 | + | 0.397904i | ||||
\(323\) | −3.10221 | + | 1.58065i | −0.172611 | + | 0.0879499i | ||||
\(324\) | 14.9695 | − | 8.64262i | 0.831637 | − | 0.480146i | ||||
\(325\) | 8.78434 | − | 25.5709i | 0.487267 | − | 1.41842i | ||||
\(326\) | −7.67309 | + | 13.2902i | −0.424973 | + | 0.736075i | ||||
\(327\) | −7.45418 | − | 4.84080i | −0.412217 | − | 0.267697i | ||||
\(328\) | −10.4098 | + | 1.64875i | −0.574784 | + | 0.0910368i | ||||
\(329\) | 7.89128 | + | 24.8750i | 0.435060 | + | 1.37141i | ||||
\(330\) | 6.25696 | − | 4.71846i | 0.344434 | − | 0.259743i | ||||
\(331\) | −31.2161 | − | 13.8983i | −1.71579 | − | 0.763919i | −0.997686 | − | 0.0679844i | \(-0.978343\pi\) |
−0.718105 | − | 0.695935i | \(-0.754990\pi\) | |||||||
\(332\) | −13.3220 | + | 3.56962i | −0.731139 | + | 0.195908i | ||||
\(333\) | −4.54840 | + | 5.61680i | −0.249251 | + | 0.307799i | ||||
\(334\) | 1.58871 | − | 1.76444i | 0.0869304 | − | 0.0965460i | ||||
\(335\) | 3.69151 | + | 20.8920i | 0.201689 | + | 1.14145i | ||||
\(336\) | −8.62361 | + | 0.845696i | −0.470457 | + | 0.0461365i | ||||
\(337\) | −7.42698 | − | 3.78424i | −0.404574 | − | 0.206141i | 0.239849 | − | 0.970810i | \(-0.422902\pi\) |
−0.644422 | + | 0.764670i | \(0.722902\pi\) | |||||||
\(338\) | −10.8971 | + | 0.571091i | −0.592723 | + | 0.0310633i | ||||
\(339\) | −6.97681 | − | 7.74853i | −0.378928 | − | 0.420843i | ||||
\(340\) | 10.6539 | + | 15.7829i | 0.577789 | + | 0.855948i | ||||
\(341\) | −1.54734 | − | 1.39323i | −0.0837933 | − | 0.0754478i | ||||
\(342\) | −0.754936 | − | 0.119570i | −0.0408223 | − | 0.00646561i | ||||
\(343\) | −16.6737 | + | 8.06141i | −0.900297 | + | 0.435275i | ||||
\(344\) | −9.54046 | − | 13.1313i | −0.514387 | − | 0.707993i | ||||
\(345\) | −19.6175 | − | 1.70925i | −1.05617 | − | 0.0920229i | ||||
\(346\) | 1.07304 | + | 2.41010i | 0.0576872 | + | 0.129568i | ||||
\(347\) | 2.30283 | − | 5.99909i | 0.123623 | − | 0.322048i | −0.857778 | − | 0.514021i | \(-0.828155\pi\) |
0.981400 | + | 0.191973i | \(0.0614886\pi\) | |||||||
\(348\) | −11.1423 | + | 17.1577i | −0.597291 | + | 0.919748i | ||||
\(349\) | 6.49322 | 0.347574 | 0.173787 | − | 0.984783i | \(-0.444400\pi\) | ||||
0.173787 | + | 0.984783i | \(0.444400\pi\) | |||||||
\(350\) | −6.43192 | + | 6.13401i | −0.343801 | + | 0.327876i | ||||
\(351\) | 14.2494 | 0.760577 | ||||||||
\(352\) | 7.48856 | − | 11.5314i | 0.399142 | − | 0.614624i | ||||
\(353\) | −7.17503 | + | 18.6916i | −0.381888 | + | 0.994853i | 0.599081 | + | 0.800689i | \(0.295533\pi\) |
−0.980969 | + | 0.194164i | \(0.937801\pi\) | |||||||
\(354\) | −2.02983 | − | 4.55907i | −0.107884 | − | 0.242312i | ||||
\(355\) | −3.25532 | − | 14.0774i | −0.172775 | − | 0.747152i | ||||
\(356\) | 13.2190 | + | 18.1943i | 0.700603 | + | 0.964298i | ||||
\(357\) | 31.5072 | − | 4.76554i | 1.66754 | − | 0.252219i | ||||
\(358\) | −3.41391 | − | 0.540710i | −0.180431 | − | 0.0285774i | ||||
\(359\) | −7.19201 | − | 6.47572i | −0.379580 | − | 0.341775i | 0.457151 | − | 0.889389i | \(-0.348870\pi\) |
−0.836731 | + | 0.547614i | \(0.815536\pi\) | |||||||
\(360\) | −0.330896 | + | 9.57363i | −0.0174398 | + | 0.504575i | ||||
\(361\) | −12.4453 | − | 13.8219i | −0.655013 | − | 0.727466i | ||||
\(362\) | 11.9915 | − | 0.628450i | 0.630261 | − | 0.0330306i | ||||
\(363\) | 10.3965 | + | 5.29726i | 0.545672 | + | 0.278034i | ||||
\(364\) | −20.1770 | − | 9.15230i | −1.05756 | − | 0.479711i | ||||
\(365\) | −14.5461 | − | 14.0370i | −0.761379 | − | 0.734730i | ||||
\(366\) | −1.83288 | + | 2.03562i | −0.0958060 | + | 0.106403i | ||||
\(367\) | 12.4036 | − | 15.3172i | 0.647463 | − | 0.799550i | −0.342704 | − | 0.939443i | \(-0.611343\pi\) |
0.990167 | + | 0.139894i | \(0.0446761\pi\) | |||||||
\(368\) | −5.80774 | + | 1.55618i | −0.302749 | + | 0.0811214i | ||||
\(369\) | −7.25645 | − | 3.23078i | −0.377756 | − | 0.168188i | ||||
\(370\) | 1.96940 | + | 5.71293i | 0.102384 | + | 0.297001i | ||||
\(371\) | 18.6211 | − | 20.3934i | 0.966760 | − | 1.05877i | ||||
\(372\) | 2.92862 | − | 0.463848i | 0.151842 | − | 0.0240494i | ||||
\(373\) | −12.9185 | − | 8.38938i | −0.668896 | − | 0.434386i | 0.165011 | − | 0.986292i | \(-0.447234\pi\) |
−0.833906 | + | 0.551906i | \(0.813901\pi\) | |||||||
\(374\) | −4.39979 | + | 7.62067i | −0.227508 | + | 0.394055i | ||||
\(375\) | −14.4142 | − | 19.7949i | −0.744347 | − | 1.02220i | ||||
\(376\) | 20.3661 | − | 11.7584i | 1.05030 | − | 0.606391i | ||||
\(377\) | −29.0623 | + | 14.8080i | −1.49679 | + | 0.762651i | ||||
\(378\) | −4.15869 | − | 2.15557i | −0.213900 | − | 0.110871i | ||||
\(379\) | 2.05068 | − | 2.82252i | 0.105336 | − | 0.144983i | −0.753095 | − | 0.657912i | \(-0.771440\pi\) |
0.858431 | + | 0.512929i | \(0.171440\pi\) | |||||||
\(380\) | 1.43775 | − | 1.65514i | 0.0737551 | − | 0.0849067i | ||||
\(381\) | 28.5719 | − | 3.00303i | 1.46378 | − | 0.153850i | ||||
\(382\) | −1.50149 | − | 5.60364i | −0.0768230 | − | 0.286707i | ||||
\(383\) | 10.9441 | − | 4.20103i | 0.559216 | − | 0.214663i | −0.0623097 | − | 0.998057i | \(-0.519847\pi\) |
0.621525 | + | 0.783394i | \(0.286513\pi\) | |||||||
\(384\) | 7.41058 | + | 22.8074i | 0.378169 | + | 1.16389i | ||||
\(385\) | 13.2084 | + | 4.90655i | 0.673163 | + | 0.250061i | ||||
\(386\) | 3.39238 | − | 10.4407i | 0.172668 | − | 0.531416i | ||||
\(387\) | −0.640211 | − | 12.2160i | −0.0325438 | − | 0.620972i | ||||
\(388\) | 9.53532 | − | 6.19231i | 0.484083 | − | 0.314367i | ||||
\(389\) | −6.13295 | + | 5.52213i | −0.310953 | + | 0.279983i | −0.809799 | − | 0.586707i | \(-0.800424\pi\) |
0.498846 | + | 0.866691i | \(0.333757\pi\) | |||||||
\(390\) | −9.42337 | + | 15.0925i | −0.477171 | + | 0.764240i | ||||
\(391\) | 21.0292 | − | 6.83280i | 1.06349 | − | 0.345550i | ||||
\(392\) | 10.3212 | + | 13.1150i | 0.521300 | + | 0.662409i | ||||
\(393\) | 7.85142 | + | 7.85142i | 0.396052 | + | 0.396052i | ||||
\(394\) | 6.69840 | − | 15.0449i | 0.337460 | − | 0.757949i | ||||
\(395\) | −15.7486 | − | 16.8762i | −0.792399 | − | 0.849135i | ||||
\(396\) | 6.05433 | − | 2.69556i | 0.304241 | − | 0.135457i | ||||
\(397\) | 5.71547 | − | 4.62830i | 0.286851 | − | 0.232288i | −0.475084 | − | 0.879940i | \(-0.657582\pi\) |
0.761936 | + | 0.647653i | \(0.224249\pi\) | |||||||
\(398\) | 5.33095 | + | 10.4626i | 0.267216 | + | 0.524442i | ||||
\(399\) | −1.46885 | − | 3.36192i | −0.0735346 | − | 0.168306i | ||||
\(400\) | −6.20146 | − | 4.17650i | −0.310073 | − | 0.208825i | ||||
\(401\) | 2.56742 | + | 4.44689i | 0.128211 | + | 0.222067i | 0.922983 | − | 0.384840i | \(-0.125743\pi\) |
−0.794773 | + | 0.606907i | \(0.792410\pi\) | |||||||
\(402\) | 0.730687 | − | 13.9423i | 0.0364433 | − | 0.695380i | ||||
\(403\) | 4.41344 | + | 1.69416i | 0.219849 | + | 0.0843922i | ||||
\(404\) | 1.39867 | − | 13.3074i | 0.0695863 | − | 0.662070i | ||||
\(405\) | 14.3084 | − | 20.4501i | 0.710992 | − | 1.01617i | ||||
\(406\) | 10.7219 | + | 0.0746780i | 0.532119 | + | 0.00370621i | ||||
\(407\) | 6.77401 | − | 6.77401i | 0.335775 | − | 0.335775i | ||||
\(408\) | −10.2906 | − | 26.8079i | −0.509460 | − | 1.32719i | ||||
\(409\) | −10.2396 | − | 2.17650i | −0.506316 | − | 0.107621i | −0.0523306 | − | 0.998630i | \(-0.516665\pi\) |
−0.453986 | + | 0.891009i | \(0.649998\pi\) | |||||||
\(410\) | −5.50452 | + | 3.71571i | −0.271849 | + | 0.183506i | ||||
\(411\) | 1.18730 | + | 5.58581i | 0.0585652 | + | 0.275528i | ||||
\(412\) | 13.7714 | − | 27.0279i | 0.678470 | − | 1.33157i | ||||
\(413\) | 4.93931 | − | 7.49112i | 0.243047 | − | 0.368614i | ||||
\(414\) | 4.61661 | + | 1.50003i | 0.226894 | + | 0.0737223i | ||||
\(415\) | −15.2509 | + | 12.8063i | −0.748638 | + | 0.628638i | ||||
\(416\) | −6.49055 | + | 30.5357i | −0.318226 | + | 1.49713i | ||||
\(417\) | 7.68715 | + | 6.22493i | 0.376441 | + | 0.304836i | ||||
\(418\) | 0.978607 | + | 0.262217i | 0.0478652 | + | 0.0128254i | ||||
\(419\) | −21.3548 | + | 15.5152i | −1.04325 | + | 0.757966i | −0.970917 | − | 0.239414i | \(-0.923045\pi\) |
−0.0723335 | + | 0.997381i | \(0.523045\pi\) | |||||||
\(420\) | −17.2674 | + | 10.2206i | −0.842563 | + | 0.498715i | ||||
\(421\) | 27.2318 | + | 19.7850i | 1.32719 | + | 0.964263i | 0.999812 | + | 0.0193712i | \(0.00616644\pi\) |
0.327382 | + | 0.944892i | \(0.393834\pi\) | |||||||
\(422\) | 2.03528 | + | 2.51336i | 0.0990758 | + | 0.122348i | ||||
\(423\) | 17.6992 | + | 0.927575i | 0.860564 | + | 0.0451002i | ||||
\(424\) | −21.5516 | − | 12.4428i | −1.04664 | − | 0.604277i | ||||
\(425\) | 23.5785 | + | 14.1445i | 1.14372 | + | 0.686108i | ||||
\(426\) | 9.50847i | 0.460687i | ||||||||
\(427\) | −4.85893 | − | 0.804309i | −0.235140 | − | 0.0389232i | ||||
\(428\) | −1.26891 | − | 8.01159i | −0.0613351 | − | 0.387255i | ||||
\(429\) | 28.0529 | + | 2.94847i | 1.35440 | + | 0.142354i | ||||
\(430\) | −8.94714 | − | 4.95530i | −0.431469 | − | 0.238966i | ||||
\(431\) | −3.12841 | − | 29.7649i | −0.150690 | − | 1.43372i | −0.764681 | − | 0.644409i | \(-0.777103\pi\) |
0.613990 | − | 0.789313i | \(-0.289563\pi\) | |||||||
\(432\) | 1.01985 | − | 3.80612i | 0.0490674 | − | 0.183122i | ||||
\(433\) | 1.02047 | − | 6.44298i | 0.0490405 | − | 0.309630i | −0.950959 | − | 0.309316i | \(-0.899900\pi\) |
1.00000 | 0.000314104i | \(-9.99825e-5\pi\) | ||||||||
\(434\) | −1.03178 | − | 1.16208i | −0.0495269 | − | 0.0557817i | ||||
\(435\) | −4.10076 | + | 29.2542i | −0.196616 | + | 1.40263i | ||||
\(436\) | −6.14714 | + | 1.30661i | −0.294395 | + | 0.0625755i | ||||
\(437\) | −1.38652 | − | 2.13506i | −0.0663264 | − | 0.102134i | ||||
\(438\) | 7.24516 | + | 11.1566i | 0.346187 | + | 0.533082i | ||||
\(439\) | 20.1537 | − | 4.28381i | 0.961886 | − | 0.204455i | 0.299899 | − | 0.953971i | \(-0.403047\pi\) |
0.661986 | + | 0.749516i | \(0.269714\pi\) | |||||||
\(440\) | 1.76263 | − | 12.5743i | 0.0840300 | − | 0.599457i | ||||
\(441\) | 1.14038 | + | 12.5261i | 0.0543040 | + | 0.596483i | ||||
\(442\) | 3.12542 | − | 19.7331i | 0.148661 | − | 0.938608i | ||||
\(443\) | −4.88967 | + | 18.2485i | −0.232315 | + | 0.867013i | 0.747025 | + | 0.664796i | \(0.231481\pi\) |
−0.979341 | + | 0.202217i | \(0.935185\pi\) | |||||||
\(444\) | 1.42602 | + | 13.5677i | 0.0676759 | + | 0.643893i | ||||
\(445\) | 28.4073 | + | 15.7332i | 1.34664 | + | 0.745824i | ||||
\(446\) | −4.33318 | − | 0.455436i | −0.205182 | − | 0.0215655i | ||||
\(447\) | −1.50231 | − | 9.48523i | −0.0710570 | − | 0.448636i | ||||
\(448\) | 1.49125 | − | 1.81554i | 0.0704552 | − | 0.0857764i | ||||
\(449\) | − | 11.0725i | − | 0.522542i | −0.965265 | − | 0.261271i | \(-0.915858\pi\) | ||
0.965265 | − | 0.261271i | \(-0.0841416\pi\) | |||||||
\(450\) | 2.36250 | + | 5.55467i | 0.111369 | + | 0.261850i | ||||
\(451\) | 9.11799 | + | 5.26427i | 0.429349 | + | 0.247885i | ||||
\(452\) | −7.36225 | − | 0.385839i | −0.346291 | − | 0.0181484i | ||||
\(453\) | −5.33916 | − | 6.59332i | −0.250856 | − | 0.309781i | ||||
\(454\) | −12.2862 | − | 8.92645i | −0.576620 | − | 0.418939i | ||||
\(455\) | −31.9895 | + | 0.346955i | −1.49969 | + | 0.0162655i | ||||
\(456\) | −2.67467 | + | 1.94326i | −0.125253 | + | 0.0910017i | ||||
\(457\) | 21.8583 | + | 5.85690i | 1.02249 | + | 0.273974i | 0.730838 | − | 0.682551i | \(-0.239130\pi\) |
0.291648 | + | 0.956526i | \(0.405796\pi\) | |||||||
\(458\) | −6.84717 | − | 5.54473i | −0.319947 | − | 0.259088i | ||||
\(459\) | −3.01280 | + | 14.1741i | −0.140626 | + | 0.661592i | ||||
\(460\) | −10.6628 | + | 8.95360i | −0.497154 | + | 0.417464i | ||||
\(461\) | 6.07862 | + | 1.97506i | 0.283110 | + | 0.0919879i | 0.447130 | − | 0.894469i | \(-0.352446\pi\) |
−0.164020 | + | 0.986457i | \(0.552446\pi\) | |||||||
\(462\) | −7.74119 | − | 5.10419i | −0.360153 | − | 0.237468i | ||||
\(463\) | −15.7094 | + | 30.8314i | −0.730078 | + | 1.43286i | 0.164699 | + | 0.986344i | \(0.447335\pi\) |
−0.894776 | + | 0.446514i | \(0.852665\pi\) | |||||||
\(464\) | 1.87530 | + | 8.82258i | 0.0870585 | + | 0.409578i | ||||
\(465\) | 3.54862 | − | 2.39542i | 0.164563 | − | 0.111085i | ||||
\(466\) | 13.2390 | + | 2.81403i | 0.613285 | + | 0.130358i | ||||
\(467\) | −6.72242 | − | 17.5125i | −0.311076 | − | 0.810382i | −0.996605 | − | 0.0823356i | \(-0.973762\pi\) |
0.685528 | − | 0.728046i | \(-0.259571\pi\) | |||||||
\(468\) | −10.6398 | + | 10.6398i | −0.491825 | + | 0.491825i | ||||
\(469\) | 21.8264 | − | 12.3996i | 1.00785 | − | 0.572561i | ||||
\(470\) | 8.49522 | − | 12.1417i | 0.391855 | − | 0.560053i | ||||
\(471\) | −3.24196 | + | 30.8452i | −0.149382 | + | 1.42127i | ||||
\(472\) | −7.54878 | − | 2.89771i | −0.347461 | − | 0.133378i | ||||
\(473\) | −0.848589 | + | 16.1920i | −0.0390182 | + | 0.744511i | ||||
\(474\) | 7.59518 | + | 13.1552i | 0.348858 | + | 0.604240i | ||||
\(475\) | 0.870404 | − | 3.04366i | 0.0399369 | − | 0.139653i | ||||
\(476\) | 13.3700 | − | 18.1353i | 0.612815 | − | 0.831231i | ||||
\(477\) | −8.51467 | − | 16.7110i | −0.389860 | − | 0.765144i | ||||
\(478\) | −7.59510 | + | 6.15039i | −0.347392 | + | 0.281312i | ||||
\(479\) | 6.87432 | − | 3.06064i | 0.314096 | − | 0.139844i | −0.243634 | − | 0.969867i | \(-0.578339\pi\) |
0.557729 | + | 0.830023i | \(0.311673\pi\) | |||||||
\(480\) | 19.2893 | + | 20.6704i | 0.880432 | + | 0.943472i | ||||
\(481\) | −8.84682 | + | 19.8703i | −0.403380 | + | 0.906007i | ||||
\(482\) | −13.6495 | − | 13.6495i | −0.621716 | − | 0.621716i | ||||
\(483\) | 5.87350 | + | 22.5472i | 0.267254 | + | 1.02593i | ||||
\(484\) | 7.84641 | − | 2.54945i | 0.356655 | − | 0.115884i | ||||
\(485\) | 8.69465 | − | 13.9254i | 0.394804 | − | 0.632320i | ||||
\(486\) | −8.25887 | + | 7.43632i | −0.374630 | + | 0.337318i | ||||
\(487\) | −6.83663 | + | 4.43976i | −0.309797 | + | 0.201185i | −0.690168 | − | 0.723650i | \(-0.742463\pi\) |
0.380370 | + | 0.924834i | \(0.375797\pi\) | |||||||
\(488\) | 0.232274 | + | 4.43206i | 0.0105146 | + | 0.200630i | ||||
\(489\) | −15.4589 | + | 47.5775i | −0.699074 | + | 2.15153i | ||||
\(490\) | 9.38861 | + | 4.73793i | 0.424134 | + | 0.214038i | ||||
\(491\) | −2.32350 | − | 7.15101i | −0.104858 | − | 0.322721i | 0.884839 | − | 0.465897i | \(-0.154268\pi\) |
−0.989697 | + | 0.143177i | \(0.954268\pi\) | |||||||
\(492\) | −13.9975 | + | 5.37314i | −0.631056 | + | 0.242240i | ||||
\(493\) | −8.58501 | − | 32.0397i | −0.386650 | − | 1.44300i | ||||
\(494\) | −2.28766 | + | 0.240443i | −0.102927 | + | 0.0108180i | ||||
\(495\) | 6.27548 | − | 7.22432i | 0.282062 | − | 0.324709i | ||||
\(496\) | 0.768398 | − | 1.05761i | 0.0345021 | − | 0.0474881i | ||||
\(497\) | −14.4026 | + | 9.21116i | −0.646043 | + | 0.413177i | ||||
\(498\) | 11.6769 | − | 5.94969i | 0.523256 | − | 0.266612i | ||||
\(499\) | −13.1695 | + | 7.60340i | −0.589547 | + | 0.340375i | −0.764918 | − | 0.644127i | \(-0.777221\pi\) |
0.175372 | + | 0.984502i | \(0.443887\pi\) | |||||||
\(500\) | −17.1036 | − | 2.69016i | −0.764894 | − | 0.120308i | ||||
\(501\) | 3.86990 | − | 6.70286i | 0.172894 | − | 0.299462i | ||||
\(502\) | 6.03204 | + | 3.91725i | 0.269223 | + | 0.174836i | ||||
\(503\) | −7.60536 | + | 1.20457i | −0.339106 | + | 0.0537092i | −0.323665 | − | 0.946172i | \(-0.604915\pi\) |
−0.0154410 | + | 0.999881i | \(0.504915\pi\) | |||||||
\(504\) | 10.8038 | − | 3.42737i | 0.481240 | − | 0.152667i | ||||
\(505\) | −6.29678 | − | 18.2660i | −0.280203 | − | 0.812826i | ||||
\(506\) | −5.87789 | − | 2.61700i | −0.261304 | − | 0.116340i | ||||
\(507\) | −34.3593 | + | 9.20656i | −1.52595 | + | 0.408877i | ||||
\(508\) | 12.7837 | − | 15.7866i | 0.567185 | − | 0.700415i | ||||
\(509\) | −9.53931 | + | 10.5945i | −0.422822 | + | 0.469592i | −0.916489 | − | 0.400059i | \(-0.868990\pi\) |
0.493667 | + | 0.869651i | \(0.335656\pi\) | |||||||
\(510\) | −13.0204 | − | 12.5646i | −0.576552 | − | 0.556372i | ||||
\(511\) | −9.88034 | + | 21.7820i | −0.437081 | + | 0.963581i | ||||
\(512\) | 14.0449 | + | 7.15625i | 0.620704 | + | 0.316264i | ||||
\(513\) | 1.66609 | − | 0.0873161i | 0.0735597 | − | 0.00385510i | ||||
\(514\) | 2.62896 | + | 2.91975i | 0.115958 | + | 0.128785i | ||||
\(515\) | 1.51299 | − | 43.7744i | 0.0666701 | − | 1.92893i | ||||
\(516\) | −17.1594 | − | 15.4504i | −0.755399 | − | 0.680164i | ||||
\(517\) | −23.2029 | − | 3.67498i | −1.02046 | − | 0.161626i | ||||
\(518\) | 5.58780 | − | 4.46084i | 0.245514 | − | 0.195998i | ||||
\(519\) | 5.05497 | + | 6.95757i | 0.221889 | + | 0.305403i | ||||
\(520\) | 6.49505 | + | 28.0874i | 0.284827 | + | 1.23171i | ||||
\(521\) | 7.75601 | + | 17.4203i | 0.339797 | + | 0.763197i | 0.999927 | + | 0.0120456i | \(0.00383433\pi\) |
−0.660130 | + | 0.751151i | \(0.729499\pi\) | |||||||
\(522\) | 2.60960 | − | 6.79825i | 0.114219 | − | 0.297551i | ||||
\(523\) | −21.5346 | + | 33.1604i | −0.941644 | + | 1.45001i | −0.0492305 | + | 0.998787i | \(0.515677\pi\) |
−0.892414 | + | 0.451218i | \(0.850990\pi\) | |||||||
\(524\) | 7.85097 | 0.342971 | ||||||||
\(525\) | −16.3515 | + | 23.9182i | −0.713636 | + | 1.04387i | ||||
\(526\) | −1.70465 | −0.0743262 | ||||||||
\(527\) | −2.61836 | + | 4.03192i | −0.114058 | + | 0.175633i | ||||
\(528\) | 2.79533 | − | 7.28209i | 0.121651 | − | 0.316912i | ||||
\(529\) | −2.77900 | − | 6.24173i | −0.120826 | − | 0.271380i | ||||
\(530\) | −15.6219 | − | 1.36112i | −0.678574 | − | 0.0591234i | ||||
\(531\) | −3.58192 | − | 4.93009i | −0.155442 | − | 0.213948i | ||||
\(532\) | −2.41525 | − | 0.946479i | −0.104714 | − | 0.0410351i | ||||
\(533\) | −23.6103 | − | 3.73950i | −1.02268 | − | 0.161976i | ||||
\(534\) | −15.8809 | − | 14.2992i | −0.687233 | − | 0.618787i | ||||
\(535\) | −6.55295 | − | 9.70767i | −0.283309 | − | 0.419699i | ||||
\(536\) | −15.1363 | − | 16.8106i | −0.653790 | − | 0.726107i | ||||
\(537\) | −11.2520 | + | 0.589695i | −0.485561 | + | 0.0254472i | ||||
\(538\) | −13.9908 | − | 7.12868i | −0.603188 | − | 0.307339i | ||||
\(539\) | 0.232227 | − | 16.6702i | 0.0100027 | − | 0.718038i | ||||
\(540\) | −1.58771 | − | 8.98556i | −0.0683240 | − | 0.386677i | ||||
\(541\) | 19.6181 | − | 21.7881i | 0.843448 | − | 0.936744i | −0.155244 | − | 0.987876i | \(-0.549616\pi\) |
0.998692 | + | 0.0511326i | \(0.0162831\pi\) | |||||||
\(542\) | 8.48239 | − | 10.4749i | 0.364350 | − | 0.449935i | ||||
\(543\) | 37.8103 | − | 10.1312i | 1.62259 | − | 0.434773i | ||||
\(544\) | −29.0020 | − | 12.9125i | −1.24345 | − | 0.553620i | ||||
\(545\) | −7.24515 | + | 5.46367i | −0.310348 | + | 0.234038i | ||||
\(546\) | 20.5617 | + | 4.52043i | 0.879960 | + | 0.193456i | ||||
\(547\) | −24.3999 | + | 3.86457i | −1.04327 | + | 0.165237i | −0.654471 | − | 0.756087i | \(-0.727109\pi\) |
−0.388795 | + | 0.921324i | \(0.627109\pi\) | |||||||
\(548\) | 3.38636 | + | 2.19913i | 0.144658 | + | 0.0939421i | ||||
\(549\) | −1.67241 | + | 2.89670i | −0.0713768 | + | 0.123628i | ||||
\(550\) | −2.34470 | − | 7.64962i | −0.0999783 | − | 0.326181i | ||||
\(551\) | −3.30733 | + | 1.90949i | −0.140897 | + | 0.0813469i | ||||
\(552\) | 18.7077 | − | 9.53205i | 0.796253 | − | 0.405711i | ||||
\(553\) | −12.5687 | + | 24.2484i | −0.534474 | + | 1.03115i | ||||
\(554\) | −4.17867 | + | 5.75144i | −0.177535 | + | 0.244355i | ||||
\(555\) | 10.1516 | + | 16.8815i | 0.430912 | + | 0.716578i | ||||
\(556\) | 6.95565 | − | 0.731068i | 0.294985 | − | 0.0310042i | ||||
\(557\) | 10.6550 | + | 39.7652i | 0.451469 | + | 1.68490i | 0.698267 | + | 0.715837i | \(0.253955\pi\) |
−0.246799 | + | 0.969067i | \(0.579379\pi\) | |||||||
\(558\) | −0.985310 | + | 0.378225i | −0.0417115 | + | 0.0160115i | ||||
\(559\) | −11.3761 | − | 35.0120i | −0.481157 | − | 1.48085i | ||||
\(560\) | −2.19685 | + | 8.56945i | −0.0928339 | + | 0.362126i | ||||
\(561\) | −8.86421 | + | 27.2812i | −0.374247 | + | 1.15181i | ||||
\(562\) | −0.442243 | − | 8.43851i | −0.0186549 | − | 0.355957i | ||||
\(563\) | −23.5631 | + | 15.3020i | −0.993064 | + | 0.644904i | −0.935459 | − | 0.353436i | \(-0.885013\pi\) |
−0.0576056 | + | 0.998339i | \(0.518347\pi\) | |||||||
\(564\) | 24.8615 | − | 22.3854i | 1.04686 | − | 0.942594i | ||||
\(565\) | −9.86862 | + | 3.99128i | −0.415176 | + | 0.167914i | ||||
\(566\) | −15.6449 | + | 5.08333i | −0.657603 | + | 0.213668i | ||||
\(567\) | −28.4714 | − | 7.84182i | −1.19569 | − | 0.329325i | ||||
\(568\) | 10.8937 | + | 10.8937i | 0.457088 | + | 0.457088i | ||||
\(569\) | −0.00209224 | + | 0.00469924i | −8.77111e−5 | + | 0.000197002i | −0.913589 | − | 0.406638i | \(-0.866701\pi\) |
0.913502 | + | 0.406835i | \(0.133368\pi\) | |||||||
\(570\) | −1.00933 | + | 1.82241i | −0.0422762 | + | 0.0763325i | ||||
\(571\) | −15.5920 | + | 6.94199i | −0.652504 | + | 0.290513i | −0.706167 | − | 0.708046i | \(-0.749577\pi\) |
0.0536628 | + | 0.998559i | \(0.482910\pi\) | |||||||
\(572\) | 15.4998 | − | 12.5515i | 0.648078 | − | 0.524804i | ||||
\(573\) | −8.58557 | − | 16.8501i | −0.358667 | − | 0.703924i | ||||
\(574\) | 6.32496 | + | 4.66300i | 0.263999 | + | 0.194630i | ||||
\(575\) | −8.48350 | + | 18.2269i | −0.353786 | + | 0.760114i | ||||
\(576\) | −0.797818 | − | 1.38186i | −0.0332424 | − | 0.0575775i | ||||
\(577\) | −0.00180688 | + | 0.0344773i | −7.52213e−5 | + | 0.00143531i | −0.998667 | − | 0.0516183i | \(-0.983562\pi\) |
0.998592 | + | 0.0530536i | \(0.0168954\pi\) | |||||||
\(578\) | 8.30494 | + | 3.18797i | 0.345440 | + | 0.132602i | ||||
\(579\) | 3.74069 | − | 35.5903i | 0.155458 | − | 1.47908i | ||||
\(580\) | 12.5760 | + | 16.6765i | 0.522190 | + | 0.692455i | ||||
\(581\) | 20.3239 | + | 11.9235i | 0.843176 | + | 0.494670i | ||||
\(582\) | −7.63926 | + | 7.63926i | −0.316658 | + | 0.316658i | ||||
\(583\) | 8.90891 | + | 23.2085i | 0.368969 | + | 0.961198i | ||||
\(584\) | 21.0825 | + | 4.48123i | 0.872401 | + | 0.185434i | ||||
\(585\) | −7.42371 | + | 20.4192i | −0.306933 | + | 0.844228i | ||||
\(586\) | 0.397543 | + | 1.87029i | 0.0164224 | + | 0.0772611i | ||||
\(587\) | −0.603907 | + | 1.18523i | −0.0249259 | + | 0.0489198i | −0.903134 | − | 0.429359i | \(-0.858739\pi\) |
0.878208 | + | 0.478279i | \(0.158739\pi\) | |||||||
\(588\) | 18.2410 | + | 15.1968i | 0.752244 | + | 0.626705i | ||||
\(589\) | 0.526416 | + | 0.171043i | 0.0216906 | + | 0.00704770i | ||||
\(590\) | −5.08257 | + | 0.357232i | −0.209246 | + | 0.0147070i | ||||
\(591\) | 11.1617 | − | 52.5119i | 0.459133 | − | 2.16005i | ||||
\(592\) | 4.67432 | + | 3.78519i | 0.192113 | + | 0.155570i | ||||
\(593\) | 31.1654 | + | 8.35074i | 1.27981 | + | 0.342924i | 0.833781 | − | 0.552096i | \(-0.186172\pi\) |
0.446027 | + | 0.895019i | \(0.352838\pi\) | |||||||
\(594\) | 3.41133 | − | 2.47848i | 0.139969 | − | 0.101693i | ||||
\(595\) | 6.41853 | − | 31.8938i | 0.263134 | − | 1.30752i | ||||
\(596\) | −5.49346 | − | 3.99123i | −0.225021 | − | 0.163487i | ||||
\(597\) | 24.0893 | + | 29.7479i | 0.985911 | + | 1.21750i | ||||
\(598\) | 14.5884 | + | 0.764547i | 0.596565 | + | 0.0312647i | ||||
\(599\) | 33.4655 | + | 19.3213i | 1.36736 | + | 0.789448i | 0.990591 | − | 0.136857i | \(-0.0437001\pi\) |
0.376774 | + | 0.926305i | \(0.377033\pi\) | |||||||
\(600\) | 24.2147 | + | 9.76325i | 0.988559 | + | 0.398583i | ||||
\(601\) | 14.4856i | 0.590882i | 0.955361 | + | 0.295441i | \(0.0954666\pi\) | ||||
−0.955361 | + | 0.295441i | \(0.904533\pi\) | |||||||
\(602\) | −1.97631 | + | 11.9391i | −0.0805484 | + | 0.486603i | ||||
\(603\) | −2.66695 | − | 16.8384i | −0.108607 | − | 0.685714i | ||||
\(604\) | −5.96590 | − | 0.627041i | −0.242749 | − | 0.0255140i | ||||
\(605\) | 8.70952 | − | 8.12758i | 0.354092 | − | 0.330433i | ||||
\(606\) | 1.32904 | + | 12.6449i | 0.0539884 | + | 0.513666i | ||||
\(607\) | −3.63954 | + | 13.5829i | −0.147724 | + | 0.551315i | 0.851895 | + | 0.523713i | \(0.175454\pi\) |
−0.999619 | + | 0.0276015i | \(0.991213\pi\) | |||||||
\(608\) | −0.571784 | + | 3.61010i | −0.0231889 | + | 0.146409i | ||||
\(609\) | 34.2385 | − | 7.02873i | 1.38741 | − | 0.284819i | ||||
\(610\) | 1.31380 | + | 2.46878i | 0.0531943 | + | 0.0999579i | ||||
\(611\) | 52.1724 | − | 11.0896i | 2.11067 | − | 0.448636i | ||||
\(612\) | −8.33398 | − | 12.8332i | −0.336881 | − | 0.518752i | ||||
\(613\) | −23.3225 | − | 35.9136i | −0.941988 | − | 1.45053i | −0.892130 | − | 0.451779i | \(-0.850790\pi\) |
−0.0498583 | − | 0.998756i | \(-0.515877\pi\) | |||||||
\(614\) | 0.920713 | − | 0.195703i | 0.0371569 | − | 0.00789795i | ||||
\(615\) | −15.0334 | + | 15.5786i | −0.606204 | + | 0.628191i | ||||
\(616\) | −14.7167 | + | 3.02116i | −0.592953 | + | 0.121726i | ||||
\(617\) | 3.46495 | − | 21.8768i | 0.139494 | − | 0.880729i | −0.814339 | − | 0.580390i | \(-0.802900\pi\) |
0.953833 | − | 0.300339i | \(-0.0970998\pi\) | |||||||
\(618\) | −7.46021 | + | 27.8419i | −0.300094 | + | 1.11996i | ||||
\(619\) | −1.82338 | − | 17.3483i | −0.0732877 | − | 0.697286i | −0.968052 | − | 0.250748i | \(-0.919323\pi\) |
0.894765 | − | 0.446538i | \(-0.147343\pi\) | |||||||
\(620\) | 0.576568 | − | 2.97185i | 0.0231555 | − | 0.119352i | ||||
\(621\) | −10.5374 | − | 1.10753i | −0.422853 | − | 0.0444436i | ||||
\(622\) | 1.74735 | + | 11.0324i | 0.0700625 | + | 0.442357i | ||||
\(623\) | 6.27482 | − | 37.9070i | 0.251395 | − | 1.51871i | ||||
\(624\) | 17.7100i | 0.708966i | ||||||||
\(625\) | −24.0217 | + | 6.92525i | −0.960867 | + | 0.277010i | ||||
\(626\) | −17.0247 | − | 9.82921i | −0.680443 | − | 0.392854i | ||||
\(627\) | 3.29810 | + | 0.172846i | 0.131714 | + | 0.00690281i | ||||
\(628\) | 13.8008 | + | 17.0426i | 0.550713 | + | 0.680074i | ||||
\(629\) | −17.8948 | − | 13.0013i | −0.713512 | − | 0.518397i | ||||
\(630\) | 5.25550 | − | 4.83631i | 0.209384 | − | 0.192683i | ||||
\(631\) | −15.1958 | + | 11.0404i | −0.604937 | + | 0.439513i | −0.847628 | − | 0.530591i | \(-0.821970\pi\) |
0.242691 | + | 0.970104i | \(0.421970\pi\) | |||||||
\(632\) | 23.7734 | + | 6.37005i | 0.945654 | + | 0.253387i | ||||
\(633\) | 8.19314 | + | 6.63467i | 0.325648 | + | 0.263704i | ||||
\(634\) | −0.0338133 | + | 0.159079i | −0.00134290 | + | 0.00631784i | ||||
\(635\) | 7.08573 | − | 28.4626i | 0.281189 | − | 1.12950i | ||||
\(636\) | −33.6692 | − | 10.9398i | −1.33507 | − | 0.433790i | ||||
\(637\) | 13.0716 | + | 35.5241i | 0.517917 | + | 1.40752i | ||||
\(638\) | −4.38194 | + | 8.60003i | −0.173483 | + | 0.340479i | ||||
\(639\) | 2.41402 | + | 11.3571i | 0.0954971 | + | 0.449278i | ||||
\(640\) | 24.4691 | + | 0.845731i | 0.967225 | + | 0.0334305i | ||||
\(641\) | 20.6162 | + | 4.38211i | 0.814292 | + | 0.173083i | 0.596190 | − | 0.802843i | \(-0.296680\pi\) |
0.218101 | + | 0.975926i | \(0.430014\pi\) | |||||||
\(642\) | 2.76217 | + | 7.19570i | 0.109014 | + | 0.283992i | ||||
\(643\) | 3.39326 | − | 3.39326i | 0.133817 | − | 0.133817i | −0.637026 | − | 0.770843i | \(-0.719835\pi\) |
0.770843 | + | 0.637026i | \(0.219835\pi\) | |||||||
\(644\) | 14.2095 | + | 8.33637i | 0.559934 | + | 0.328499i | ||||
\(645\) | −31.8873 | − | 9.73648i | −1.25556 | − | 0.383374i | ||||
\(646\) | 0.244516 | − | 2.32641i | 0.00962035 | − | 0.0915315i | ||||
\(647\) | 5.05316 | + | 1.93973i | 0.198660 | + | 0.0762585i | 0.455664 | − | 0.890152i | \(-0.349402\pi\) |
−0.257004 | + | 0.966410i | \(0.582735\pi\) | |||||||
\(648\) | −1.39276 | + | 26.5755i | −0.0547128 | + | 1.04398i | ||||
\(649\) | 4.03870 | + | 6.99524i | 0.158533 | + | 0.274587i | ||||
\(650\) | 11.1941 | + | 14.3068i | 0.439070 | + | 0.561157i | ||||
\(651\) | −4.07754 | − | 3.00612i | −0.159811 | − | 0.117819i | ||||
\(652\) | 16.0584 | + | 31.5164i | 0.628896 | + | 1.23428i | ||||
\(653\) | 25.4214 | − | 20.5858i | 0.994814 | − | 0.805585i | 0.0138760 | − | 0.999904i | \(-0.495583\pi\) |
0.980938 | + | 0.194319i | \(0.0622497\pi\) | |||||||
\(654\) | 5.45533 | − | 2.42887i | 0.213320 | − | 0.0949764i | ||||
\(655\) | 10.2724 | − | 4.79458i | 0.401378 | − | 0.187340i | ||||
\(656\) | −2.68866 | + | 6.03884i | −0.104975 | + | 0.235777i | ||||
\(657\) | 11.4862 | + | 11.4862i | 0.448118 | + | 0.448118i | ||||
\(658\) | −16.9041 | − | 4.65585i | −0.658989 | − | 0.181504i | ||||
\(659\) | −7.46494 | + | 2.42551i | −0.290793 | + | 0.0944843i | −0.450781 | − | 0.892635i | \(-0.648854\pi\) |
0.159988 | + | 0.987119i | \(0.448854\pi\) | |||||||
\(660\) | −1.26644 | − | 18.0184i | −0.0492960 | − | 0.701366i | ||||
\(661\) | −3.70517 | + | 3.33615i | −0.144115 | + | 0.129761i | −0.738035 | − | 0.674762i | \(-0.764246\pi\) |
0.593920 | + | 0.804524i | \(0.297579\pi\) | |||||||
\(662\) | 19.2541 | − | 12.5037i | 0.748330 | − | 0.485971i | ||||
\(663\) | −3.40856 | − | 65.0392i | −0.132378 | − | 2.52591i | ||||
\(664\) | 6.56158 | − | 20.1945i | 0.254639 | − | 0.783698i | ||||
\(665\) | −3.73819 | + | 0.236589i | −0.144961 | + | 0.00917453i | ||||
\(666\) | −1.50055 | − | 4.61823i | −0.0581453 | − | 0.178953i | ||||
\(667\) | 22.6425 | − | 8.69165i | 0.876722 | − | 0.336542i | ||||
\(668\) | −1.41640 | − | 5.28608i | −0.0548022 | − | 0.204524i | ||||
\(669\) | −14.1255 | + | 1.48465i | −0.546122 | + | 0.0573997i | ||||
\(670\) | −13.1229 | − | 5.56481i | −0.506982 | − | 0.214987i | ||||
\(671\) | 2.60595 | − | 3.58678i | 0.100602 | − | 0.138466i | ||||
\(672\) | 15.3944 | − | 29.7001i | 0.593853 | − | 1.14570i | ||||
\(673\) | 34.8935 | − | 17.7791i | 1.34505 | − | 0.685335i | 0.374720 | − | 0.927138i | \(-0.377739\pi\) |
0.970325 | + | 0.241803i | \(0.0777387\pi\) | |||||||
\(674\) | 4.85004 | − | 2.80017i | 0.186816 | − | 0.107858i | ||||
\(675\) | −7.56488 | − | 10.7874i | −0.291172 | − | 0.415206i | ||||
\(676\) | −12.5757 | + | 21.7817i | −0.483680 | + | 0.837758i | ||||
\(677\) | −9.63579 | − | 6.25756i | −0.370334 | − | 0.240497i | 0.346032 | − | 0.938223i | \(-0.387529\pi\) |
−0.716365 | + | 0.697725i | \(0.754196\pi\) | |||||||
\(678\) | 6.91908 | − | 1.09588i | 0.265726 | − | 0.0420868i | ||||
\(679\) | −18.9717 | − | 4.17086i | −0.728065 | − | 0.160063i | ||||
\(680\) | −29.3123 | + | 0.522117i | −1.12407 | + | 0.0200223i | ||||
\(681\) | −45.2258 | − | 20.1358i | −1.73305 | − | 0.771606i | ||||
\(682\) | 1.35126 | − | 0.362069i | 0.0517425 | − | 0.0138643i | ||||
\(683\) | 0.603122 | − | 0.744794i | 0.0230778 | − | 0.0284988i | −0.765476 | − | 0.643464i | \(-0.777497\pi\) |
0.788554 | + | 0.614965i | \(0.210830\pi\) | |||||||
\(684\) | −1.17884 | + | 1.30924i | −0.0450743 | + | 0.0500600i | ||||
\(685\) | 5.77382 | + | 0.809355i | 0.220606 | + | 0.0309239i | ||||
\(686\) | 1.55893 | − | 12.3451i | 0.0595202 | − | 0.471338i | ||||
\(687\) | −25.5909 | − | 13.0392i | −0.976353 | − | 0.497476i | ||||
\(688\) | −10.1661 | + | 0.532785i | −0.387581 | + | 0.0203122i | ||||
\(689\) | −37.7676 | − | 41.9452i | −1.43883 | − | 1.59798i | ||||
\(690\) | 8.14163 | − | 10.4285i | 0.309947 | − | 0.397006i | ||||
\(691\) | 3.29963 | + | 2.97100i | 0.125524 | + | 0.113022i | 0.729502 | − | 0.683979i | \(-0.239752\pi\) |
−0.603978 | + | 0.797001i | \(0.706419\pi\) | |||||||
\(692\) | 6.00593 | + | 0.951245i | 0.228311 | + | 0.0361609i | ||||
\(693\) | −10.5420 | − | 4.13118i | −0.400459 | − | 0.156931i | ||||
\(694\) | 2.53767 | + | 3.49280i | 0.0963286 | + | 0.132585i | ||||
\(695\) | 8.65451 | − | 5.20436i | 0.328284 | − | 0.197413i | ||||
\(696\) | −12.8110 | − | 28.7739i | −0.485598 | − | 1.09067i | ||||
\(697\) | 8.71175 | − | 22.6949i | 0.329981 | − | 0.859630i | ||||
\(698\) | −2.37603 | + | 3.65876i | −0.0899339 | + | 0.138486i | ||||
\(699\) | 44.1211 | 1.66881 | ||||||||
\(700\) | 3.78314 | + | 20.1337i | 0.142989 | + | 0.760981i | ||||
\(701\) | −14.7676 | −0.557765 | −0.278882 | − | 0.960325i | \(-0.589964\pi\) | ||||
−0.278882 | + | 0.960325i | \(0.589964\pi\) | |||||||
\(702\) | −5.21421 | + | 8.02918i | −0.196798 | + | 0.303042i | ||||
\(703\) | −0.912641 | + | 2.37751i | −0.0344209 | + | 0.0896695i | ||||
\(704\) | 0.860243 | + | 1.93214i | 0.0324216 | + | 0.0728202i | ||||
\(705\) | 18.8587 | − | 44.4726i | 0.710261 | − | 1.67493i | ||||
\(706\) | −7.90671 | − | 10.8827i | −0.297573 | − | 0.409574i | ||||
\(707\) | −17.8659 | + | 14.2627i | −0.671917 | + | 0.536402i | ||||
\(708\) | −11.3611 | − | 1.79943i | −0.426978 | − | 0.0676266i | ||||
\(709\) | 30.5967 | + | 27.5494i | 1.14908 | + | 1.03464i | 0.998943 | + | 0.0459729i | \(0.0146388\pi\) |
0.150139 | + | 0.988665i | \(0.452028\pi\) | |||||||
\(710\) | 9.12347 | + | 3.31698i | 0.342398 | + | 0.124484i | ||||
\(711\) | 12.4117 | + | 13.7846i | 0.465474 | + | 0.516961i | ||||
\(712\) | −34.5767 | + | 1.81209i | −1.29582 | + | 0.0679109i | ||||
\(713\) | −3.13206 | − | 1.59586i | −0.117297 | − | 0.0597656i | ||||
\(714\) | −8.84398 | + | 19.4973i | −0.330978 | + | 0.729668i | ||||
\(715\) | 12.6152 | − | 25.8884i | 0.471781 | − | 0.968172i | ||||
\(716\) | −5.33087 | + | 5.92053i | −0.199224 | + | 0.221261i | ||||
\(717\) | −20.0493 | + | 24.7588i | −0.748753 | + | 0.924633i | ||||
\(718\) | 6.28063 | − | 1.68289i | 0.234391 | − | 0.0628049i | ||||
\(719\) | 0.341982 | + | 0.152260i | 0.0127538 | + | 0.00567835i | 0.413104 | − | 0.910684i | \(-0.364445\pi\) |
−0.400350 | + | 0.916362i | \(0.631111\pi\) | |||||||
\(720\) | 4.92278 | + | 3.44435i | 0.183461 | + | 0.128363i | ||||
\(721\) | −49.3993 | + | 15.6713i | −1.83973 | + | 0.583628i | ||||
\(722\) | 12.3423 | − | 1.95483i | 0.459332 | − | 0.0727511i | ||||
\(723\) | −52.7737 | − | 34.2716i | −1.96267 | − | 1.27458i | ||||
\(724\) | 13.8387 | − | 23.9694i | 0.514312 | − | 0.890815i | ||||
\(725\) | 26.6392 | + | 14.1399i | 0.989354 | + | 0.525143i | ||||
\(726\) | −6.78919 | + | 3.91974i | −0.251970 | + | 0.145475i | ||||
\(727\) | 4.38289 | − | 2.23320i | 0.162552 | − | 0.0828246i | −0.370822 | − | 0.928704i | \(-0.620924\pi\) |
0.533374 | + | 0.845880i | \(0.320924\pi\) | |||||||
\(728\) | 28.7361 | − | 18.3782i | 1.06503 | − | 0.681140i | ||||
\(729\) | −1.61184 | + | 2.21850i | −0.0596976 | + | 0.0821667i | ||||
\(730\) | 13.2323 | − | 3.05989i | 0.489749 | − | 0.113252i | ||||
\(731\) | 37.2323 | − | 3.91327i | 1.37709 | − | 0.144738i | ||||
\(732\) | 1.63408 | + | 6.09848i | 0.0603975 | + | 0.225406i | ||||
\(733\) | −20.5816 | + | 7.90052i | −0.760197 | + | 0.291812i | −0.707419 | − | 0.706794i | \(-0.750141\pi\) |
−0.0527775 | + | 0.998606i | \(0.516807\pi\) | |||||||
\(734\) | 4.09205 | + | 12.5940i | 0.151040 | + | 0.464854i | ||||
\(735\) | 33.1477 | + | 8.74416i | 1.22267 | + | 0.322533i | ||||
\(736\) | 7.17313 | − | 22.0766i | 0.264405 | − | 0.813755i | ||||
\(737\) | 1.18265 | + | 22.5663i | 0.0435635 | + | 0.831241i | ||||
\(738\) | 4.47577 | − | 2.90660i | 0.164755 | − | 0.106993i | ||||
\(739\) | −28.4642 | + | 25.6293i | −1.04707 | + | 0.942788i | −0.998429 | − | 0.0560287i | \(-0.982156\pi\) |
−0.0486425 | + | 0.998816i | \(0.515489\pi\) | |||||||
\(740\) | 13.5158 | + | 3.36473i | 0.496849 | + | 0.123690i | ||||
\(741\) | −7.13147 | + | 2.31716i | −0.261981 | + | 0.0851228i | ||||
\(742\) | 4.67723 | + | 17.9550i | 0.171707 | + | 0.659147i | ||||
\(743\) | −5.35160 | − | 5.35160i | −0.196331 | − | 0.196331i | 0.602094 | − | 0.798425i | \(-0.294333\pi\) |
−0.798425 | + | 0.602094i | \(0.794333\pi\) | |||||||
\(744\) | −1.85677 | + | 4.17037i | −0.0680724 | + | 0.152893i | ||||
\(745\) | −9.62524 | − | 1.86739i | −0.352642 | − | 0.0684159i | ||||
\(746\) | 9.45440 | − | 4.20937i | 0.346150 | − | 0.154116i | ||||
\(747\) | 12.4366 | − | 10.0710i | 0.455031 | − | 0.368477i | ||||
\(748\) | 9.20799 | + | 18.0717i | 0.336677 | + | 0.660767i | ||||
\(749\) | −8.22359 | + | 11.1546i | −0.300483 | + | 0.407580i | ||||
\(750\) | 16.4284 | − | 0.878623i | 0.599881 | − | 0.0320828i | ||||
\(751\) | 0.941197 | + | 1.63020i | 0.0343448 | + | 0.0594869i | 0.882687 | − | 0.469962i | \(-0.155732\pi\) |
−0.848342 | + | 0.529448i | \(0.822399\pi\) | |||||||
\(752\) | 0.771930 | − | 14.7293i | 0.0281494 | − | 0.537122i | ||||
\(753\) | 21.8887 | + | 8.40229i | 0.797669 | + | 0.306196i | ||||
\(754\) | 2.29069 | − | 21.7945i | 0.0834221 | − | 0.793709i | ||||
\(755\) | −8.18889 | + | 2.82293i | −0.298024 | + | 0.102737i | ||||
\(756\) | −9.38746 | + | 5.33303i | −0.341419 | + | 0.193960i | ||||
\(757\) | 11.5638 | − | 11.5638i | 0.420295 | − | 0.420295i | −0.465010 | − | 0.885305i | \(-0.653949\pi\) |
0.885305 | + | 0.465010i | \(0.153949\pi\) | |||||||
\(758\) | 0.840022 | + | 2.18833i | 0.0305110 | + | 0.0794838i | ||||
\(759\) | −20.5159 | − | 4.36079i | −0.744680 | − | 0.158287i | ||||
\(760\) | 0.931534 | + | 3.24427i | 0.0337903 | + | 0.117682i | ||||
\(761\) | 2.24272 | + | 10.5512i | 0.0812986 | + | 0.382480i | 0.999920 | − | 0.0126595i | \(-0.00402974\pi\) |
−0.918621 | + | 0.395139i | \(0.870696\pi\) | |||||||
\(762\) | −8.76303 | + | 17.1984i | −0.317451 | + | 0.623033i | ||||
\(763\) | 8.96379 | + | 5.91032i | 0.324511 | + | 0.213968i | ||||
\(764\) | −12.7171 | − | 4.13204i | −0.460089 | − | 0.149492i | ||||
\(765\) | −18.7417 | − | 11.7018i | −0.677606 | − | 0.423079i | ||||
\(766\) | −1.63753 | + | 7.70396i | −0.0591663 | + | 0.278355i | ||||
\(767\) | −14.2524 | − | 11.5413i | −0.514624 | − | 0.416734i | ||||
\(768\) | −19.3204 | − | 5.17688i | −0.697164 | − | 0.186805i | ||||
\(769\) | −17.9924 | + | 13.0722i | −0.648821 | + | 0.471396i | −0.862869 | − | 0.505427i | \(-0.831335\pi\) |
0.214049 | + | 0.976823i | \(0.431335\pi\) | |||||||
\(770\) | −7.59799 | + | 5.64717i | −0.273813 | + | 0.203510i | ||||
\(771\) | 10.3616 | + | 7.52812i | 0.373163 | + | 0.271119i | ||||
\(772\) | −15.9239 | − | 19.6644i | −0.573113 | − | 0.707736i | ||||
\(773\) | 18.8389 | + | 0.987307i | 0.677590 | + | 0.0355110i | 0.388027 | − | 0.921648i | \(-0.373157\pi\) |
0.289563 | + | 0.957159i | \(0.406490\pi\) | |||||||
\(774\) | 7.11764 | + | 4.10937i | 0.255838 | + | 0.147708i | ||||
\(775\) | −1.06051 | − | 4.24056i | −0.0380946 | − | 0.152326i | ||||
\(776\) | 17.5043i | 0.628368i | ||||||||
\(777\) | 14.7939 | − | 18.0110i | 0.530728 | − | 0.646141i | ||||
\(778\) | −0.867383 | − | 5.47644i | −0.0310972 | − | 0.196340i | ||||
\(779\) | −2.78351 | − | 0.292559i | −0.0997296 | − | 0.0104820i | ||||
\(780\) | 17.3453 | + | 37.1624i | 0.621060 | + | 1.33063i | ||||
\(781\) | −1.60868 | − | 15.3056i | −0.0575632 | − | 0.547677i | ||||
\(782\) | −3.84499 | + | 14.3497i | −0.137497 | + | 0.513144i | ||||
\(783\) | −2.48646 | + | 15.6989i | −0.0888588 | + | 0.561032i | ||||
\(784\) | 10.4243 | − | 0.949030i | 0.372296 | − | 0.0338939i | ||||
\(785\) | 28.4653 | + | 13.8709i | 1.01597 | + | 0.495073i | ||||
\(786\) | −7.29710 | + | 1.55105i | −0.260279 | + | 0.0553240i | ||||
\(787\) | 11.5833 | + | 17.8368i | 0.412901 | + | 0.635812i | 0.982533 | − | 0.186088i | \(-0.0595810\pi\) |
−0.569632 | + | 0.821900i | \(0.692914\pi\) | |||||||
\(788\) | −20.6739 | − | 31.8350i | −0.736477 | − | 1.13407i | ||||
\(789\) | −5.43544 | + | 1.15534i | −0.193507 | + | 0.0411311i | ||||
\(790\) | 15.2721 | − | 2.69851i | 0.543358 | − | 0.0960087i | ||||
\(791\) | 8.36267 | + | 9.41879i | 0.297342 | + | 0.334894i | ||||
\(792\) | −1.59613 | + | 10.0776i | −0.0567161 | + | 0.358092i | ||||
\(793\) | −2.60530 | + | 9.72309i | −0.0925167 | + | 0.345277i | ||||
\(794\) | 0.516496 | + | 4.91413i | 0.0183298 | + | 0.174396i | ||||
\(795\) | −50.7346 | + | 6.24782i | −1.79937 | + | 0.221587i | ||||
\(796\) | 26.9171 | + | 2.82910i | 0.954050 | + | 0.100275i | ||||
\(797\) | 2.99428 | + | 18.9052i | 0.106063 | + | 0.669655i | 0.982235 | + | 0.187656i | \(0.0600891\pi\) |
−0.876172 | + | 0.481999i | \(0.839911\pi\) | |||||||
\(798\) | 2.43184 | + | 0.402548i | 0.0860863 | + | 0.0142500i | ||||
\(799\) | 54.2414i | 1.91892i | ||||||||
\(800\) | 26.5625 | − | 11.2975i | 0.939125 | − | 0.399426i | ||||
\(801\) | −22.5987 | − | 13.0473i | −0.798484 | − | 0.461005i | ||||
\(802\) | −3.44519 | − | 0.180555i | −0.121654 | − | 0.00637561i | ||||
\(803\) | −13.5499 | − | 16.7327i | −0.478166 | − | 0.590486i | ||||
\(804\) | −26.0342 | − | 18.9150i | −0.918155 | − | 0.667079i | ||||
\(805\) | 23.6832 | + | 2.22980i | 0.834723 | + | 0.0785900i | ||||
\(806\) | −2.56960 | + | 1.86693i | −0.0905104 | + | 0.0657597i | ||||
\(807\) | −49.4427 | − | 13.2481i | −1.74046 | − | 0.466356i | ||||
\(808\) | 16.0097 | + | 12.9644i | 0.563220 | + | 0.456086i | ||||
\(809\) | −2.79580 | + | 13.1532i | −0.0982953 | + | 0.462443i | 0.901278 | + | 0.433241i | \(0.142630\pi\) |
−0.999574 | + | 0.0292022i | \(0.990703\pi\) | |||||||
\(810\) | 6.28730 | + | 15.5456i | 0.220913 | + | 0.546218i | ||||
\(811\) | 11.0873 | + | 3.60249i | 0.389328 | + | 0.126500i | 0.497139 | − | 0.867671i | \(-0.334384\pi\) |
−0.107811 | + | 0.994171i | \(0.534384\pi\) | |||||||
\(812\) | 13.6041 | − | 20.6324i | 0.477410 | − | 0.724056i | ||||
\(813\) | 19.9475 | − | 39.1492i | 0.699589 | − | 1.37302i | ||||
\(814\) | 1.33820 | + | 6.29575i | 0.0469040 | + | 0.220666i | ||||
\(815\) | 40.2583 | + | 31.4301i | 1.41019 | + | 1.10095i | ||||
\(816\) | −17.6164 | − | 3.74448i | −0.616697 | − | 0.131083i | ||||
\(817\) | −1.54467 | − | 4.02401i | −0.0540412 | − | 0.140782i | ||||
\(818\) | 4.97332 | − | 4.97332i | 0.173888 | − | 0.173888i | ||||
\(819\) | 25.7069 | + | 0.179048i | 0.898270 | + | 0.00625645i | ||||
\(820\) | 0.272618 | + | 15.3051i | 0.00952024 | + | 0.534478i | ||||
\(821\) | −1.10519 | + | 10.5152i | −0.0385713 | + | 0.366982i | 0.958162 | + | 0.286225i | \(0.0924004\pi\) |
−0.996734 | + | 0.0807570i | \(0.974266\pi\) | |||||||
\(822\) | −3.58192 | − | 1.37497i | −0.124934 | − | 0.0479576i | ||||
\(823\) | 1.06570 | − | 20.3349i | 0.0371481 | − | 0.708829i | −0.915049 | − | 0.403343i | \(-0.867848\pi\) |
0.952197 | − | 0.305485i | \(-0.0988187\pi\) | |||||||
\(824\) | 23.3509 | + | 40.4449i | 0.813466 | + | 1.40897i | ||||
\(825\) | −12.6609 | − | 22.8024i | −0.440796 | − | 0.793879i | ||||
\(826\) | 2.41364 | + | 5.52436i | 0.0839813 | + | 0.192217i | ||||
\(827\) | 10.1913 | + | 20.0015i | 0.354385 | + | 0.695519i | 0.997531 | − | 0.0702240i | \(-0.0223714\pi\) |
−0.643147 | + | 0.765743i | \(0.722371\pi\) | |||||||
\(828\) | 8.69511 | − | 7.04116i | 0.302176 | − | 0.244697i | ||||
\(829\) | −43.2519 | + | 19.2570i | −1.50220 | + | 0.668823i | −0.982625 | − | 0.185602i | \(-0.940576\pi\) |
−0.519575 | + | 0.854425i | \(0.673910\pi\) | |||||||
\(830\) | −1.63535 | − | 13.2796i | −0.0567638 | − | 0.460943i | ||||
\(831\) | −9.42601 | + | 21.1712i | −0.326985 | + | 0.734420i | ||||
\(832\) | −3.39552 | − | 3.39552i | −0.117718 | − | 0.117718i | ||||
\(833\) | −38.1002 | + | 5.49160i | −1.32009 | + | 0.190273i | ||||
\(834\) | −6.32051 | + | 2.05366i | −0.218861 | + | 0.0711123i | ||||
\(835\) | −5.08146 | − | 6.05146i | −0.175851 | − | 0.209419i | ||||
\(836\) | 1.73538 | − | 1.56254i | 0.0600192 | − | 0.0540415i | ||||
\(837\) | 1.93204 | − | 1.25468i | 0.0667811 | − | 0.0433682i | ||||
\(838\) | −0.928156 | − | 17.7103i | −0.0320626 | − | 0.611791i | ||||
\(839\) | 6.43734 | − | 19.8121i | 0.222242 | − | 0.683989i | −0.776318 | − | 0.630341i | \(-0.782915\pi\) |
0.998560 | − | 0.0536483i | \(-0.0170850\pi\) | |||||||
\(840\) | 1.28211 | − | 30.8658i | 0.0442370 | − | 1.06497i | ||||
\(841\) | −2.28155 | − | 7.02190i | −0.0786743 | − | 0.242135i | ||||
\(842\) | −21.1131 | + | 8.10457i | −0.727606 | + | 0.279302i | ||||
\(843\) | −7.12940 | − | 26.6073i | −0.245550 | − | 0.916403i | ||||
\(844\) | 7.41348 | − | 0.779188i | 0.255182 | − | 0.0268208i | ||||
\(845\) | −3.15230 | + | 36.1798i | −0.108442 | + | 1.24462i | ||||
\(846\) | −6.99923 | + | 9.63361i | −0.240638 | + | 0.331210i | ||||
\(847\) | −12.5142 | − | 6.48647i | −0.429992 | − | 0.222878i | ||||
\(848\) | −13.9069 | + | 7.08593i | −0.477566 | + | 0.243332i | ||||
\(849\) | −46.4400 | + | 26.8121i | −1.59382 | + | 0.920190i | ||||
\(850\) | −16.5980 | + | 8.11006i | −0.569306 | + | 0.278173i | ||||
\(851\) | 8.08662 | − | 14.0064i | 0.277206 | − | 0.480135i | ||||
\(852\) | 18.3805 | + | 11.9364i | 0.629706 | + | 0.408936i | ||||
\(853\) | 6.88501 | − | 1.09048i | 0.235738 | − | 0.0373373i | −0.0374474 | − | 0.999299i | \(-0.511923\pi\) |
0.273186 | + | 0.961961i | \(0.411923\pi\) | |||||||
\(854\) | 2.23121 | − | 2.44357i | 0.0763504 | − | 0.0836171i | ||||
\(855\) | −0.742883 | + | 2.43297i | −0.0254061 | + | 0.0832057i | ||||
\(856\) | 11.4085 | + | 5.07941i | 0.389936 | + | 0.173611i | ||||
\(857\) | 13.5562 | − | 3.63237i | 0.463071 | − | 0.124079i | −0.0197380 | − | 0.999805i | \(-0.506283\pi\) |
0.482809 | + | 0.875726i | \(0.339617\pi\) | |||||||
\(858\) | −11.9266 | + | 14.7281i | −0.407168 | + | 0.502811i | ||||
\(859\) | −16.8029 | + | 18.6616i | −0.573309 | + | 0.636724i | −0.958153 | − | 0.286257i | \(-0.907589\pi\) |
0.384844 | + | 0.922982i | \(0.374255\pi\) | |||||||
\(860\) | −20.8107 | + | 11.0748i | −0.709639 | + | 0.377647i | ||||
\(861\) | 23.3281 | + | 10.5817i | 0.795021 | + | 0.360622i | ||||
\(862\) | 17.9165 | + | 9.12891i | 0.610238 | + | 0.310932i | ||||
\(863\) | 41.6835 | − | 2.18454i | 1.41892 | − | 0.0743626i | 0.672629 | − | 0.739980i | \(-0.265165\pi\) |
0.746294 | + | 0.665617i | \(0.231831\pi\) | |||||||
\(864\) | 10.1792 | + | 11.3051i | 0.346303 | + | 0.384608i | ||||
\(865\) | 8.43925 | − | 2.42318i | 0.286943 | − | 0.0823905i | ||||
\(866\) | 3.25704 | + | 2.93265i | 0.110679 | + | 0.0996555i | ||||
\(867\) | 28.6418 | + | 4.53641i | 0.972726 | + | 0.154065i | ||||
\(868\) | −3.54162 | + | 0.535680i | −0.120211 | + | 0.0181822i | ||||
\(869\) | −14.4515 | − | 19.8907i | −0.490233 | − | 0.674747i | ||||
\(870\) | −14.9834 | − | 13.0155i | −0.507986 | − | 0.441267i | ||||
\(871\) | −20.8681 | − | 46.8705i | −0.707088 | − | 1.58815i | ||||
\(872\) | 3.46736 | − | 9.03278i | 0.117420 | − | 0.305888i | ||||
\(873\) | −7.18499 | + | 11.0639i | −0.243175 | + | 0.374457i | ||||
\(874\) | 1.71041 | 0.0578556 | ||||||||
\(875\) | 17.2456 | + | 24.0331i | 0.583007 | + | 0.812467i | ||||
\(876\) | 30.6616 | 1.03596 | ||||||||
\(877\) | 1.15649 | − | 1.78083i | 0.0390518 | − | 0.0601344i | −0.818606 | − | 0.574356i | \(-0.805252\pi\) |
0.857657 | + | 0.514222i | \(0.171919\pi\) | |||||||
\(878\) | −4.96093 | + | 12.9237i | −0.167423 | + | 0.436153i | ||||
\(879\) | 2.53521 | + | 5.69417i | 0.0855105 | + | 0.192060i | ||||
\(880\) | −6.01210 | − | 5.22247i | −0.202668 | − | 0.176049i | ||||
\(881\) | −19.7829 | − | 27.2288i | −0.666502 | − | 0.917361i | 0.333173 | − | 0.942866i | \(-0.391881\pi\) |
−0.999675 | + | 0.0255045i | \(0.991881\pi\) | |||||||
\(882\) | −7.47545 | − | 3.94104i | −0.251712 | − | 0.132702i | ||||
\(883\) | 8.94861 | + | 1.41732i | 0.301145 | + | 0.0476967i | 0.305178 | − | 0.952295i | \(-0.401284\pi\) |
−0.00403352 | + | 0.999992i | \(0.501284\pi\) | |||||||
\(884\) | −34.2219 | − | 30.8136i | −1.15101 | − | 1.03637i | ||||
\(885\) | −15.9642 | + | 4.58382i | −0.536629 | + | 0.154083i | ||||
\(886\) | −8.49331 | − | 9.43278i | −0.285338 | − | 0.316900i | ||||
\(887\) | 3.27425 | − | 0.171596i | 0.109938 | − | 0.00576163i | 0.00271260 | − | 0.999996i | \(-0.499137\pi\) |
0.107226 | + | 0.994235i | \(0.465803\pi\) | |||||||
\(888\) | −18.7143 | − | 9.53540i | −0.628010 | − | 0.319987i | ||||
\(889\) | −34.5396 | + | 3.38721i | −1.15842 | + | 0.113603i | ||||
\(890\) | −19.2602 | + | 10.2496i | −0.645603 | + | 0.343569i | ||||
\(891\) | 17.7883 | − | 19.7559i | 0.595930 | − | 0.661847i | ||||
\(892\) | −6.32005 | + | 7.80461i | −0.211611 | + | 0.261318i | ||||
\(893\) | 6.03222 | − | 1.61633i | 0.201860 | − | 0.0540883i | ||||
\(894\) | 5.89442 | + | 2.62436i | 0.197139 | + | 0.0877718i | ||||
\(895\) | −3.35940 | + | 11.0022i | −0.112292 | + | 0.367761i | ||||
\(896\) | −8.75995 | − | 27.6133i | −0.292649 | − | 0.922495i | ||||
\(897\) | 47.0348 | − | 7.44958i | 1.57045 | − | 0.248734i | ||||
\(898\) | 6.23905 | + | 4.05169i | 0.208200 | + | 0.135207i | ||||
\(899\) | −2.63662 | + | 4.56676i | −0.0879362 | + | 0.152310i | ||||
\(900\) | 13.7033 | + | 2.40618i | 0.456777 | + | 0.0802059i | ||||
\(901\) | 49.7089 | − | 28.6994i | 1.65604 | − | 0.956117i | ||||
\(902\) | −6.30277 | + | 3.21142i | −0.209859 | + | 0.106929i | ||||
\(903\) | 1.79018 | + | 39.4086i | 0.0595735 | + | 1.31144i | ||||
\(904\) | 6.67154 | − | 9.18258i | 0.221892 | − | 0.305408i | ||||
\(905\) | 3.46891 | − | 39.8135i | 0.115310 | − | 1.32345i | ||||
\(906\) | 5.66890 | − | 0.595825i | 0.188336 | − | 0.0197950i | ||||
\(907\) | −6.07553 | − | 22.6742i | −0.201735 | − | 0.752884i | −0.990420 | − | 0.138087i | \(-0.955905\pi\) |
0.788686 | − | 0.614797i | \(-0.210762\pi\) | |||||||
\(908\) | −32.6789 | + | 12.5443i | −1.08449 | + | 0.416296i | ||||
\(909\) | 4.79773 | + | 14.7659i | 0.159131 | + | 0.489754i | ||||
\(910\) | 11.5102 | − | 18.1522i | 0.381561 | − | 0.601740i | ||||
\(911\) | −1.84178 | + | 5.66842i | −0.0610209 | + | 0.187803i | −0.976920 | − | 0.213606i | \(-0.931479\pi\) |
0.915899 | + | 0.401409i | \(0.131479\pi\) | |||||||
\(912\) | 0.108521 | + | 2.07071i | 0.00359350 | + | 0.0685680i | ||||
\(913\) | −17.7895 | + | 11.5527i | −0.588747 | + | 0.382337i | ||||
\(914\) | −11.2987 | + | 10.1734i | −0.373727 | + | 0.336506i | ||||
\(915\) | 5.86242 | + | 6.98150i | 0.193806 | + | 0.230801i | ||||
\(916\) | −19.3139 | + | 6.27548i | −0.638150 | + | 0.207348i | ||||
\(917\) | −9.41832 | − | 9.55044i | −0.311020 | − | 0.315383i | ||||
\(918\) | −6.88430 | − | 6.88430i | −0.227216 | − | 0.227216i | ||||
\(919\) | −10.7259 | + | 24.0907i | −0.353814 | + | 0.794680i | 0.645702 | + | 0.763589i | \(0.276565\pi\) |
−0.999517 | + | 0.0310906i | \(0.990102\pi\) | |||||||
\(920\) | −2.62001 | − | 21.2754i | −0.0863790 | − | 0.701430i | ||||
\(921\) | 2.80314 | − | 1.24804i | 0.0923667 | − | 0.0411243i | ||||
\(922\) | −3.33721 | + | 2.70242i | −0.109905 | + | 0.0889996i | ||||
\(923\) | 15.8634 | + | 31.1336i | 0.522149 | + | 1.02478i | ||||
\(924\) | −19.5846 | + | 8.55670i | −0.644287 | + | 0.281495i | ||||
\(925\) | 19.7393 | − | 3.85155i | 0.649023 | − | 0.126638i | ||||
\(926\) | −11.6243 | − | 20.1338i | −0.381997 | − | 0.661638i | ||||
\(927\) | −1.84207 | + | 35.1488i | −0.0605015 | + | 1.15444i | ||||
\(928\) | −32.5092 | − | 12.4791i | −1.06717 | − | 0.409647i | ||||
\(929\) | −1.89320 | + | 18.0126i | −0.0621139 | + | 0.590974i | 0.918554 | + | 0.395295i | \(0.129358\pi\) |
−0.980668 | + | 0.195679i | \(0.937309\pi\) | |||||||
\(930\) | 0.0512297 | + | 2.87610i | 0.00167989 | + | 0.0943110i | ||||
\(931\) | 1.74606 | + | 4.07350i | 0.0572248 | + | 0.133503i | ||||
\(932\) | 22.0593 | − | 22.0593i | 0.722575 | − | 0.722575i | ||||
\(933\) | 13.0489 | + | 33.9935i | 0.427201 | + | 1.11290i | ||||
\(934\) | 12.3277 | + | 2.62034i | 0.403376 | + | 0.0857402i | ||||
\(935\) | 23.0844 | + | 18.0222i | 0.754940 | + | 0.589390i | ||||
\(936\) | −4.81647 | − | 22.6597i | −0.157431 | − | 0.740655i | ||||
\(937\) | −8.01861 | + | 15.7374i | −0.261957 | + | 0.514119i | −0.984098 | − | 0.177627i | \(-0.943158\pi\) |
0.722141 | + | 0.691746i | \(0.243158\pi\) | |||||||
\(938\) | −0.999961 | + | 16.8359i | −0.0326499 | + | 0.549713i | ||||
\(939\) | −60.9467 | − | 19.8028i | −1.98892 | − | 0.646239i | ||||
\(940\) | −12.8062 | − | 31.6638i | −0.417691 | − | 1.03276i | ||||
\(941\) | −11.8742 | + | 55.8639i | −0.387089 | + | 1.82111i | 0.163754 | + | 0.986501i | \(0.447640\pi\) |
−0.550843 | + | 0.834609i | \(0.685694\pi\) | |||||||
\(942\) | −16.1942 | − | 13.1138i | −0.527635 | − | 0.427270i | ||||
\(943\) | 17.1691 | + | 4.60046i | 0.559104 | + | 0.149812i | ||||
\(944\) | −4.10284 | + | 2.98088i | −0.133536 | + | 0.0970195i | ||||
\(945\) | −9.02596 | + | 12.7108i | −0.293614 | + | 0.413483i | ||||
\(946\) | −8.81328 | − | 6.40322i | −0.286544 | − | 0.208187i | ||||
\(947\) | −15.4267 | − | 19.0504i | −0.501299 | − | 0.619053i | 0.462196 | − | 0.886778i | \(-0.347062\pi\) |
−0.963496 | + | 0.267725i | \(0.913728\pi\) | |||||||
\(948\) | 34.9646 | + | 1.83242i | 1.13560 | + | 0.0595141i | ||||
\(949\) | 42.3359 | + | 24.4426i | 1.37428 | + | 0.793441i | ||||
\(950\) | 1.39652 | + | 1.60420i | 0.0453092 | + | 0.0520471i | ||||
\(951\) | 0.530156i | 0.0171915i | ||||||||
\(952\) | 12.2053 | + | 32.4701i | 0.395576 | + | 1.05236i | ||||
\(953\) | −0.0716264 | − | 0.452231i | −0.00232021 | − | 0.0146492i | 0.986501 | − | 0.163755i | \(-0.0523606\pi\) |
−0.988821 | + | 0.149106i | \(0.952361\pi\) | |||||||
\(954\) | 12.5319 | + | 1.31716i | 0.405736 | + | 0.0426446i | ||||
\(955\) | −19.1629 | + | 2.35985i | −0.620096 | + | 0.0763630i | ||||
\(956\) | 2.35462 | + | 22.4027i | 0.0761539 | + | 0.724556i | ||||
\(957\) | −8.14350 | + | 30.3919i | −0.263242 | + | 0.982432i | ||||
\(958\) | −0.790887 | + | 4.99347i | −0.0255524 | + | 0.161332i | ||||
\(959\) | −1.38724 | − | 6.75755i | −0.0447963 | − | 0.218213i | ||||
\(960\) | −4.28262 | + | 0.756718i | −0.138221 | + | 0.0244230i | ||||
\(961\) | −29.5750 | + | 6.28636i | −0.954032 | + | 0.202786i | ||||
\(962\) | −7.95912 | − | 12.2560i | −0.256612 | − | 0.395148i | ||||
\(963\) | 5.12603 | + | 7.89339i | 0.165184 | + | 0.254361i | ||||
\(964\) | −43.5201 | + | 9.25049i | −1.40169 | + | 0.297938i | ||||
\(965\) | −32.8443 | − | 16.0047i | −1.05730 | − | 0.515210i | ||||
\(966\) | −14.8540 | − | 4.94100i | −0.477920 | − | 0.158974i | ||||
\(967\) | 5.43506 | − | 34.3156i | 0.174780 | − | 1.10352i | −0.731812 | − | 0.681506i | \(-0.761325\pi\) |
0.906592 | − | 0.422009i | \(-0.138675\pi\) | |||||||
\(968\) | −3.28747 | + | 12.2690i | −0.105663 | + | 0.394341i | ||||
\(969\) | −0.797081 | − | 7.58372i | −0.0256059 | − | 0.243624i | ||||
\(970\) | 4.66503 | + | 9.99486i | 0.149785 | + | 0.320916i | ||||
\(971\) | 32.3905 | + | 3.40438i | 1.03946 | + | 0.109252i | 0.608850 | − | 0.793285i | \(-0.291631\pi\) |
0.430612 | + | 0.902537i | \(0.358298\pi\) | |||||||
\(972\) | 4.00715 | + | 25.3001i | 0.128529 | + | 0.811502i | ||||
\(973\) | −9.23357 | − | 7.58428i | −0.296015 | − | 0.243141i | ||||
\(974\) | − | 5.47688i | − | 0.175491i | ||||||
\(975\) | 45.3901 | + | 38.0316i | 1.45365 | + | 1.21799i | ||||
\(976\) | 2.41064 | + | 1.39179i | 0.0771628 | + | 0.0445500i | ||||
\(977\) | 55.8181 | + | 2.92530i | 1.78578 | + | 0.0935887i | 0.916327 | − | 0.400430i | \(-0.131139\pi\) |
0.869451 | + | 0.494019i | \(0.164473\pi\) | |||||||
\(978\) | −21.1519 | − | 26.1205i | −0.676364 | − | 0.835240i | ||||
\(979\) | 27.9823 | + | 20.3303i | 0.894319 | + | 0.649761i | ||||
\(980\) | 20.9447 | − | 12.2011i | 0.669054 | − | 0.389748i | ||||
\(981\) | 5.89929 | − | 4.28608i | 0.188350 | − | 0.136844i | ||||
\(982\) | 4.87964 | + | 1.30750i | 0.155716 | + | 0.0417238i | ||||
\(983\) | −22.1102 | − | 17.9045i | −0.705206 | − | 0.571065i | 0.208213 | − | 0.978083i | \(-0.433235\pi\) |
−0.913420 | + | 0.407018i | \(0.866568\pi\) | |||||||
\(984\) | 4.79931 | − | 22.5790i | 0.152996 | − | 0.719791i | ||||
\(985\) | −46.4919 | − | 29.0283i | −1.48136 | − | 0.924918i | ||||
\(986\) | 21.1950 | + | 6.88668i | 0.674987 | + | 0.219317i | ||||
\(987\) | −57.0558 | − | 3.38880i | −1.81611 | − | 0.107867i | ||||
\(988\) | −2.40702 | + | 4.72404i | −0.0765775 | + | 0.150292i | ||||
\(989\) | 5.69132 | + | 26.7755i | 0.180973 | + | 0.851412i | ||||
\(990\) | 1.77437 | + | 6.17963i | 0.0563931 | + | 0.196401i | ||||
\(991\) | 1.46471 | + | 0.311334i | 0.0465281 | + | 0.00988985i | 0.231117 | − | 0.972926i | \(-0.425762\pi\) |
−0.184589 | + | 0.982816i | \(0.559095\pi\) | |||||||
\(992\) | 1.80867 | + | 4.71175i | 0.0574254 | + | 0.149598i | ||||
\(993\) | 52.9190 | − | 52.9190i | 1.67933 | − | 1.67933i | ||||
\(994\) | 0.0800003 | − | 11.4861i | 0.00253746 | − | 0.364316i | ||||
\(995\) | 36.9468 | − | 12.7366i | 1.17129 | − | 0.403776i | ||||
\(996\) | 3.15746 | − | 30.0412i | 0.100048 | − | 0.951893i | ||||
\(997\) | 26.2820 | + | 10.0887i | 0.832358 | + | 0.319512i | 0.736968 | − | 0.675928i | \(-0.236257\pi\) |
0.0953902 | + | 0.995440i | \(0.469590\pi\) | |||||||
\(998\) | 0.534713 | − | 10.2029i | 0.0169260 | − | 0.322968i | ||||
\(999\) | 5.29960 | + | 9.17917i | 0.167672 | + | 0.290416i |
(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 | 175.2.x.a.3.8 | ✓ | 288 | |
5.2 | odd | 4 | 875.2.bb.b.507.8 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.507.11 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.493.11 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.103.11 | yes | 288 | |
25.6 | even | 5 | 875.2.bb.b.143.8 | 288 | |||
25.8 | odd | 20 | 875.2.bb.c.857.8 | 288 | |||
25.17 | odd | 20 | inner | 175.2.x.a.17.11 | yes | 288 | |
25.19 | even | 10 | 875.2.bb.a.143.11 | 288 | |||
35.12 | even | 12 | 875.2.bb.b.257.8 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.243.8 | 288 | |||
35.33 | even | 12 | 875.2.bb.a.257.11 | 288 | |||
175.19 | odd | 30 | 875.2.bb.a.768.11 | 288 | |||
175.33 | even | 60 | 875.2.bb.c.607.11 | 288 | |||
175.117 | even | 60 | inner | 175.2.x.a.117.8 | yes | 288 | |
175.131 | odd | 30 | 875.2.bb.b.768.8 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.3.8 | ✓ | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.17.11 | yes | 288 | 25.17 | odd | 20 | inner | |
175.2.x.a.103.11 | yes | 288 | 7.5 | odd | 6 | inner | |
175.2.x.a.117.8 | yes | 288 | 175.117 | even | 60 | inner | |
875.2.bb.a.143.11 | 288 | 25.19 | even | 10 | |||
875.2.bb.a.257.11 | 288 | 35.33 | even | 12 | |||
875.2.bb.a.507.11 | 288 | 5.3 | odd | 4 | |||
875.2.bb.a.768.11 | 288 | 175.19 | odd | 30 | |||
875.2.bb.b.143.8 | 288 | 25.6 | even | 5 | |||
875.2.bb.b.257.8 | 288 | 35.12 | even | 12 | |||
875.2.bb.b.507.8 | 288 | 5.2 | odd | 4 | |||
875.2.bb.b.768.8 | 288 | 175.131 | odd | 30 | |||
875.2.bb.c.243.8 | 288 | 35.19 | odd | 6 | |||
875.2.bb.c.493.11 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.607.11 | 288 | 175.33 | even | 60 | |||
875.2.bb.c.857.8 | 288 | 25.8 | odd | 20 |