Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [84,2,Mod(19,84)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(84, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("84.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 84 = 2^{2} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 84.o (of order \(6\), degree \(2\), 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: | \(0.670743376979\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.562828176.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + x^{6} + 2x^{5} - 6x^{4} + 4x^{3} + 4x^{2} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.4 | ||
Root | \(0.0777157 - 1.41208i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 84.19 |
Dual form | 84.2.o.a.31.4 |
$q$-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 \(\left(\mathbb{Z}/84\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(43\) | \(73\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.26175 | + | 0.638735i | 0.892193 | + | 0.451654i | ||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 1.18404 | + | 1.61185i | 0.592018 | + | 0.805925i | ||||
\(5\) | 0.380152 | + | 0.219481i | 0.170009 | + | 0.0981549i | 0.582590 | − | 0.812766i | \(-0.302039\pi\) |
−0.412581 | + | 0.910921i | \(0.635373\pi\) | |||||||
\(6\) | −0.0777157 | − | 1.41208i | −0.0317273 | − | 0.576478i | ||||
\(7\) | −2.02350 | − | 1.70453i | −0.764813 | − | 0.644253i | ||||
\(8\) | 0.464416 | + | 2.79004i | 0.164196 | + | 0.986428i | ||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0.339468 | + | 0.519747i | 0.107349 | + | 0.164358i | ||||
\(11\) | −1.83249 | + | 1.05799i | −0.552516 | + | 0.318995i | −0.750136 | − | 0.661283i | \(-0.770012\pi\) |
0.197620 | + | 0.980279i | \(0.436679\pi\) | |||||||
\(12\) | 0.803884 | − | 1.83133i | 0.232061 | − | 0.528659i | ||||
\(13\) | − | 3.84803i | − | 1.06725i | −0.845721 | − | 0.533625i | \(-0.820829\pi\) | ||
0.845721 | − | 0.533625i | \(-0.179171\pi\) | |||||||
\(14\) | −1.46442 | − | 3.44318i | −0.391382 | − | 0.920228i | ||||
\(15\) | − | 0.438962i | − | 0.113339i | ||||||
\(16\) | −1.19612 | + | 3.81698i | −0.299029 | + | 0.954244i | ||||
\(17\) | −4.89158 | + | 2.82415i | −1.18638 | + | 0.684958i | −0.957482 | − | 0.288492i | \(-0.906846\pi\) |
−0.228899 | + | 0.973450i | \(0.573513\pi\) | |||||||
\(18\) | −1.18404 | + | 0.773342i | −0.279080 | + | 0.182278i | ||||
\(19\) | 1.48792 | − | 2.57715i | 0.341352 | − | 0.591240i | −0.643332 | − | 0.765588i | \(-0.722448\pi\) |
0.984684 | + | 0.174348i | \(0.0557817\pi\) | |||||||
\(20\) | 0.0963438 | + | 0.872621i | 0.0215431 | + | 0.195124i | ||||
\(21\) | −0.464416 | + | 2.60467i | −0.101344 | + | 0.568386i | ||||
\(22\) | −2.98792 | + | 0.164445i | −0.637027 | + | 0.0350597i | ||||
\(23\) | 4.13127 | + | 2.38519i | 0.861430 | + | 0.497347i | 0.864491 | − | 0.502649i | \(-0.167641\pi\) |
−0.00306100 | + | 0.999995i | \(0.500974\pi\) | |||||||
\(24\) | 2.18404 | − | 1.79722i | 0.445815 | − | 0.366855i | ||||
\(25\) | −2.40366 | − | 4.16325i | −0.480731 | − | 0.832651i | ||||
\(26\) | 2.45787 | − | 4.85526i | 0.482028 | − | 0.952194i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0.351547 | − | 5.27981i | 0.0664362 | − | 0.997791i | ||||
\(29\) | 7.02285 | 1.30411 | 0.652055 | − | 0.758172i | \(-0.273907\pi\) | ||||
0.652055 | + | 0.758172i | \(0.273907\pi\) | |||||||
\(30\) | 0.280380 | − | 0.553861i | 0.0511902 | − | 0.101121i | ||||
\(31\) | 3.71264 | + | 6.43048i | 0.666810 | + | 1.15495i | 0.978791 | + | 0.204861i | \(0.0656741\pi\) |
−0.311981 | + | 0.950088i | \(0.600993\pi\) | |||||||
\(32\) | −3.94724 | + | 4.05208i | −0.697779 | + | 0.716313i | ||||
\(33\) | 1.83249 | + | 1.05799i | 0.318995 | + | 0.184172i | ||||
\(34\) | −7.97584 | + | 0.438962i | −1.36785 | + | 0.0752813i | ||||
\(35\) | −0.395127 | − | 1.09210i | −0.0667887 | − | 0.184599i | ||||
\(36\) | −1.98792 | + | 0.219481i | −0.331320 | + | 0.0365802i | ||||
\(37\) | 2.64335 | − | 4.57842i | 0.434564 | − | 0.752688i | −0.562696 | − | 0.826664i | \(-0.690236\pi\) |
0.997260 | + | 0.0739766i | \(0.0235690\pi\) | |||||||
\(38\) | 3.52350 | − | 2.30134i | 0.571588 | − | 0.373327i | ||||
\(39\) | −3.33249 | + | 1.92401i | −0.533625 | + | 0.308089i | ||||
\(40\) | −0.435811 | + | 1.16257i | −0.0689078 | + | 0.183818i | ||||
\(41\) | 6.81813i | 1.06481i | 0.846489 | + | 0.532407i | \(0.178712\pi\) | ||||
−0.846489 | + | 0.532407i | \(0.821288\pi\) | |||||||
\(42\) | −2.24967 | + | 2.98981i | −0.347132 | + | 0.461338i | ||||
\(43\) | 4.38646i | 0.668928i | 0.942408 | + | 0.334464i | \(0.108555\pi\) | ||||
−0.942408 | + | 0.334464i | \(0.891445\pi\) | |||||||
\(44\) | −3.87505 | − | 1.70100i | −0.584186 | − | 0.256435i | ||||
\(45\) | −0.380152 | + | 0.219481i | −0.0566697 | + | 0.0327183i | ||||
\(46\) | 3.68914 | + | 5.64831i | 0.543934 | + | 0.832797i | ||||
\(47\) | 0.844569 | − | 1.46284i | 0.123193 | − | 0.213377i | −0.797832 | − | 0.602880i | \(-0.794020\pi\) |
0.921025 | + | 0.389503i | \(0.127353\pi\) | |||||||
\(48\) | 3.90366 | − | 0.872621i | 0.563444 | − | 0.125952i | ||||
\(49\) | 1.18914 | + | 6.89826i | 0.169877 | + | 0.985465i | ||||
\(50\) | −0.373604 | − | 6.78829i | −0.0528355 | − | 0.960010i | ||||
\(51\) | 4.89158 | + | 2.82415i | 0.684958 | + | 0.395461i | ||||
\(52\) | 6.20244 | − | 4.55620i | 0.860124 | − | 0.631832i | ||||
\(53\) | −5.35599 | − | 9.27685i | −0.735702 | − | 1.27427i | −0.954415 | − | 0.298484i | \(-0.903519\pi\) |
0.218712 | − | 0.975789i | \(-0.429814\pi\) | |||||||
\(54\) | 1.26175 | + | 0.638735i | 0.171703 | + | 0.0869208i | ||||
\(55\) | −0.928833 | −0.125244 | ||||||||
\(56\) | 3.81596 | − | 6.43727i | 0.509930 | − | 0.860216i | ||||
\(57\) | −2.97584 | −0.394160 | ||||||||
\(58\) | 8.86109 | + | 4.48574i | 1.16352 | + | 0.589006i | ||||
\(59\) | −4.05909 | − | 7.03055i | −0.528448 | − | 0.915299i | −0.999450 | − | 0.0331668i | \(-0.989441\pi\) |
0.471002 | − | 0.882132i | \(-0.343893\pi\) | |||||||
\(60\) | 0.707540 | − | 0.519747i | 0.0913431 | − | 0.0670990i | ||||
\(61\) | 5.35787 | + | 3.09337i | 0.686005 | + | 0.396065i | 0.802114 | − | 0.597171i | \(-0.203709\pi\) |
−0.116109 | + | 0.993237i | \(0.537042\pi\) | |||||||
\(62\) | 0.577061 | + | 10.4851i | 0.0732868 | + | 1.33160i | ||||
\(63\) | 2.48792 | − | 0.900140i | 0.313449 | − | 0.113407i | ||||
\(64\) | −7.56863 | + | 2.59148i | −0.946079 | + | 0.323935i | ||||
\(65\) | 0.844569 | − | 1.46284i | 0.104756 | − | 0.181442i | ||||
\(66\) | 1.63637 | + | 2.50539i | 0.201424 | + | 0.308393i | ||||
\(67\) | 6.79878 | − | 3.92528i | 0.830604 | − | 0.479549i | −0.0234557 | − | 0.999725i | \(-0.507467\pi\) |
0.854059 | + | 0.520176i | \(0.174134\pi\) | |||||||
\(68\) | −10.3439 | − | 4.54058i | −1.25438 | − | 0.550627i | ||||
\(69\) | − | 4.77038i | − | 0.574287i | ||||||
\(70\) | 0.199011 | − | 1.63034i | 0.0237864 | − | 0.194863i | ||||
\(71\) | − | 1.16982i | − | 0.138833i | −0.997588 | − | 0.0694163i | \(-0.977886\pi\) | ||
0.997588 | − | 0.0694163i | \(-0.0221137\pi\) | |||||||
\(72\) | −2.64845 | − | 0.992823i | −0.312123 | − | 0.117005i | ||||
\(73\) | −8.69036 | + | 5.01738i | −1.01713 | + | 0.587240i | −0.913271 | − | 0.407352i | \(-0.866452\pi\) |
−0.103858 | + | 0.994592i | \(0.533119\pi\) | |||||||
\(74\) | 6.25965 | − | 4.08843i | 0.727669 | − | 0.475270i | ||||
\(75\) | −2.40366 | + | 4.16325i | −0.277550 | + | 0.480731i | ||||
\(76\) | 5.91574 | − | 0.653140i | 0.678581 | − | 0.0749203i | ||||
\(77\) | 5.51142 | + | 0.982694i | 0.628085 | + | 0.111988i | ||||
\(78\) | −5.43371 | + | 0.299052i | −0.615246 | + | 0.0338610i | ||||
\(79\) | −13.4958 | − | 7.79180i | −1.51840 | − | 0.876646i | −0.999766 | − | 0.0216472i | \(-0.993109\pi\) |
−0.518630 | − | 0.854999i | \(-0.673558\pi\) | |||||||
\(80\) | −1.29246 | + | 1.18851i | −0.144501 | + | 0.132879i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −4.35498 | + | 8.60279i | −0.480927 | + | 0.950019i | ||||
\(83\) | −5.49645 | −0.603314 | −0.301657 | − | 0.953417i | \(-0.597540\pi\) | ||||
−0.301657 | + | 0.953417i | \(0.597540\pi\) | |||||||
\(84\) | −4.74822 | + | 2.33546i | −0.518074 | + | 0.254819i | ||||
\(85\) | −2.47939 | −0.268928 | ||||||||
\(86\) | −2.80178 | + | 5.53462i | −0.302124 | + | 0.596814i | ||||
\(87\) | −3.51142 | − | 6.08197i | −0.376464 | − | 0.652055i | ||||
\(88\) | −3.80287 | − | 4.62137i | −0.405387 | − | 0.492640i | ||||
\(89\) | −9.02285 | − | 5.20934i | −0.956420 | − | 0.552189i | −0.0613507 | − | 0.998116i | \(-0.519541\pi\) |
−0.895069 | + | 0.445927i | \(0.852874\pi\) | |||||||
\(90\) | −0.619848 | + | 0.0341142i | −0.0653377 | + | 0.00359595i | ||||
\(91\) | −6.55909 | + | 7.78650i | −0.687579 | + | 0.816247i | ||||
\(92\) | 1.04701 | + | 9.48314i | 0.109158 | + | 0.988686i | ||||
\(93\) | 3.71264 | − | 6.43048i | 0.384983 | − | 0.666810i | ||||
\(94\) | 2.00000 | − | 1.30628i | 0.206284 | − | 0.134733i | ||||
\(95\) | 1.13127 | − | 0.653140i | 0.116066 | − | 0.0670108i | ||||
\(96\) | 5.48282 | + | 1.39237i | 0.559588 | + | 0.142108i | ||||
\(97\) | 2.22605i | 0.226021i | 0.993594 | + | 0.113011i | \(0.0360494\pi\) | ||||
−0.993594 | + | 0.113011i | \(0.963951\pi\) | |||||||
\(98\) | −2.90576 | + | 9.46343i | −0.293526 | + | 0.955951i | ||||
\(99\) | − | 2.11598i | − | 0.212664i | ||||||
\(100\) | 3.86452 | − | 8.80378i | 0.386452 | − | 0.880378i | ||||
\(101\) | −0.664978 | + | 0.383925i | −0.0661678 | + | 0.0382020i | −0.532719 | − | 0.846292i | \(-0.678830\pi\) |
0.466551 | + | 0.884494i | \(0.345496\pi\) | |||||||
\(102\) | 4.36807 | + | 6.68780i | 0.432504 | + | 0.662191i | ||||
\(103\) | 4.31939 | − | 7.48141i | 0.425602 | − | 0.737165i | −0.570874 | − | 0.821038i | \(-0.693396\pi\) |
0.996476 | + | 0.0838727i | \(0.0267289\pi\) | |||||||
\(104\) | 10.7361 | − | 1.78709i | 1.05277 | − | 0.175238i | ||||
\(105\) | −0.748225 | + | 0.888241i | −0.0730193 | + | 0.0866835i | ||||
\(106\) | −0.832489 | − | 15.1261i | −0.0808585 | − | 1.46918i | ||||
\(107\) | −2.20346 | − | 1.27217i | −0.213016 | − | 0.122985i | 0.389696 | − | 0.920943i | \(-0.372580\pi\) |
−0.602712 | + | 0.797959i | \(0.705913\pi\) | |||||||
\(108\) | 1.18404 | + | 1.61185i | 0.113934 | + | 0.155100i | ||||
\(109\) | 3.40366 | + | 5.89531i | 0.326011 | + | 0.564668i | 0.981716 | − | 0.190349i | \(-0.0609620\pi\) |
−0.655705 | + | 0.755017i | \(0.727629\pi\) | |||||||
\(110\) | −1.17196 | − | 0.593278i | −0.111742 | − | 0.0565668i | ||||
\(111\) | −5.28670 | −0.501792 | ||||||||
\(112\) | 8.92651 | − | 5.68485i | 0.843475 | − | 0.537168i | ||||
\(113\) | 13.6408 | 1.28322 | 0.641610 | − | 0.767031i | \(-0.278267\pi\) | ||||
0.641610 | + | 0.767031i | \(0.278267\pi\) | |||||||
\(114\) | −3.75477 | − | 1.90077i | −0.351667 | − | 0.178024i | ||||
\(115\) | 1.04701 | + | 1.81347i | 0.0976340 | + | 0.169107i | ||||
\(116\) | 8.31531 | + | 11.3198i | 0.772057 | + | 1.05101i | ||||
\(117\) | 3.33249 | + | 1.92401i | 0.308089 | + | 0.177875i | ||||
\(118\) | −0.630909 | − | 11.4635i | −0.0580799 | − | 1.05530i | ||||
\(119\) | 14.7120 | + | 2.62317i | 1.34865 | + | 0.240465i | ||||
\(120\) | 1.22472 | − | 0.203861i | 0.111801 | − | 0.0186099i | ||||
\(121\) | −3.26132 | + | 5.64878i | −0.296484 | + | 0.513525i | ||||
\(122\) | 4.78446 | + | 7.32532i | 0.433165 | + | 0.663203i | ||||
\(123\) | 5.90467 | − | 3.40907i | 0.532407 | − | 0.307385i | ||||
\(124\) | −5.96907 | + | 13.5981i | −0.536038 | + | 1.22115i | ||||
\(125\) | − | 4.30504i | − | 0.385054i | ||||||
\(126\) | 3.71409 | + | 0.453368i | 0.330877 | + | 0.0403892i | ||||
\(127\) | − | 3.51914i | − | 0.312273i | −0.987735 | − | 0.156137i | \(-0.950096\pi\) | ||
0.987735 | − | 0.156137i | \(-0.0499040\pi\) | |||||||
\(128\) | −11.2050 | − | 1.56454i | −0.990392 | − | 0.138287i | ||||
\(129\) | 3.79878 | − | 2.19323i | 0.334464 | − | 0.193103i | ||||
\(130\) | 2.00000 | − | 1.30628i | 0.175412 | − | 0.114568i | ||||
\(131\) | −9.80833 | + | 16.9885i | −0.856958 | + | 1.48429i | 0.0178590 | + | 0.999841i | \(0.494315\pi\) |
−0.874817 | + | 0.484454i | \(0.839018\pi\) | |||||||
\(132\) | 0.464416 | + | 4.20639i | 0.0404223 | + | 0.366119i | ||||
\(133\) | −7.40366 | + | 2.67867i | −0.641978 | + | 0.232270i | ||||
\(134\) | 11.0856 | − | 0.610111i | 0.957649 | − | 0.0527056i | ||||
\(135\) | 0.380152 | + | 0.219481i | 0.0327183 | + | 0.0188899i | ||||
\(136\) | −10.1512 | − | 12.3361i | −0.870460 | − | 1.05781i | ||||
\(137\) | 1.68914 | + | 2.92567i | 0.144313 | + | 0.249957i | 0.929116 | − | 0.369788i | \(-0.120570\pi\) |
−0.784804 | + | 0.619745i | \(0.787236\pi\) | |||||||
\(138\) | 3.04701 | − | 6.01904i | 0.259379 | − | 0.512375i | ||||
\(139\) | 16.4481 | 1.39511 | 0.697556 | − | 0.716530i | \(-0.254271\pi\) | ||||
0.697556 | + | 0.716530i | \(0.254271\pi\) | |||||||
\(140\) | 1.29246 | − | 1.92997i | 0.109233 | − | 0.163113i | ||||
\(141\) | −1.68914 | −0.142251 | ||||||||
\(142\) | 0.747207 | − | 1.47603i | 0.0627042 | − | 0.123866i | ||||
\(143\) | 4.07117 | + | 7.05147i | 0.340448 | + | 0.589673i | ||||
\(144\) | −2.70754 | − | 2.94435i | −0.225628 | − | 0.245363i | ||||
\(145\) | 2.66975 | + | 1.54138i | 0.221711 | + | 0.128005i | ||||
\(146\) | −14.1699 | + | 0.779858i | −1.17271 | + | 0.0645415i | ||||
\(147\) | 5.37950 | − | 4.47895i | 0.443693 | − | 0.369418i | ||||
\(148\) | 10.5095 | − | 1.16033i | 0.863879 | − | 0.0953786i | ||||
\(149\) | −3.23970 | + | 5.61132i | −0.265406 | + | 0.459697i | −0.967670 | − | 0.252220i | \(-0.918839\pi\) |
0.702264 | + | 0.711917i | \(0.252173\pi\) | |||||||
\(150\) | −5.69203 | + | 3.71770i | −0.464753 | + | 0.303549i | ||||
\(151\) | −6.72827 | + | 3.88457i | −0.547539 | + | 0.316122i | −0.748129 | − | 0.663554i | \(-0.769047\pi\) |
0.200590 | + | 0.979675i | \(0.435714\pi\) | |||||||
\(152\) | 7.88137 | + | 2.95448i | 0.639264 | + | 0.239640i | ||||
\(153\) | − | 5.64831i | − | 0.456639i | ||||||
\(154\) | 6.32637 | + | 4.76025i | 0.509793 | + | 0.383592i | ||||
\(155\) | 3.25942i | 0.261803i | ||||||||
\(156\) | −7.04701 | − | 3.09337i | −0.564212 | − | 0.247668i | ||||
\(157\) | 7.32996 | − | 4.23195i | 0.584994 | − | 0.337747i | −0.178121 | − | 0.984009i | \(-0.557002\pi\) |
0.763116 | + | 0.646262i | \(0.223669\pi\) | |||||||
\(158\) | −12.0515 | − | 18.4516i | −0.958762 | − | 1.46793i | ||||
\(159\) | −5.35599 | + | 9.27685i | −0.424758 | + | 0.735702i | ||||
\(160\) | −2.38990 | + | 0.674063i | −0.188939 | + | 0.0532893i | ||||
\(161\) | −4.29401 | − | 11.8683i | −0.338415 | − | 0.935356i | ||||
\(162\) | −0.0777157 | − | 1.41208i | −0.00610592 | − | 0.110943i | ||||
\(163\) | −6.02285 | − | 3.47729i | −0.471746 | − | 0.272363i | 0.245224 | − | 0.969466i | \(-0.421138\pi\) |
−0.716970 | + | 0.697104i | \(0.754472\pi\) | |||||||
\(164\) | −10.9898 | + | 8.07291i | −0.858159 | + | 0.630389i | ||||
\(165\) | 0.464416 | + | 0.804393i | 0.0361548 | + | 0.0626219i | ||||
\(166\) | −6.93516 | − | 3.51077i | −0.538273 | − | 0.272489i | ||||
\(167\) | 8.12021 | 0.628361 | 0.314180 | − | 0.949363i | \(-0.398270\pi\) | ||||
0.314180 | + | 0.949363i | \(0.398270\pi\) | |||||||
\(168\) | −7.48282 | − | 0.0860874i | −0.577312 | − | 0.00664178i | ||||
\(169\) | −1.80731 | −0.139024 | ||||||||
\(170\) | −3.12838 | − | 1.58367i | −0.239936 | − | 0.121462i | ||||
\(171\) | 1.48792 | + | 2.57715i | 0.113784 | + | 0.197080i | ||||
\(172\) | −7.07031 | + | 5.19372i | −0.539106 | + | 0.396018i | ||||
\(173\) | −1.22660 | − | 0.708177i | −0.0932565 | − | 0.0538417i | 0.452646 | − | 0.891690i | \(-0.350480\pi\) |
−0.545903 | + | 0.837848i | \(0.683813\pi\) | |||||||
\(174\) | −0.545785 | − | 9.91680i | −0.0413759 | − | 0.751791i | ||||
\(175\) | −2.23260 | + | 12.5215i | −0.168768 | + | 0.946534i | ||||
\(176\) | −1.84645 | − | 8.26004i | −0.139181 | − | 0.622624i | ||||
\(177\) | −4.05909 | + | 7.03055i | −0.305100 | + | 0.528448i | ||||
\(178\) | −8.05721 | − | 12.3361i | −0.603913 | − | 0.924630i | ||||
\(179\) | 9.29401 | − | 5.36590i | 0.694667 | − | 0.401066i | −0.110691 | − | 0.993855i | \(-0.535306\pi\) |
0.805358 | + | 0.592789i | \(0.201973\pi\) | |||||||
\(180\) | −0.803884 | − | 0.352875i | −0.0599180 | − | 0.0263017i | ||||
\(181\) | 1.21426i | 0.0902549i | 0.998981 | + | 0.0451275i | \(0.0143694\pi\) | ||||
−0.998981 | + | 0.0451275i | \(0.985631\pi\) | |||||||
\(182\) | −13.2494 | + | 5.63511i | −0.982114 | + | 0.417702i | ||||
\(183\) | − | 6.18674i | − | 0.457337i | ||||||
\(184\) | −4.73615 | + | 12.6341i | −0.349153 | + | 0.931401i | ||||
\(185\) | 2.00975 | − | 1.16033i | 0.147760 | − | 0.0853092i | ||||
\(186\) | 8.79180 | − | 5.74228i | 0.644646 | − | 0.421045i | ||||
\(187\) | 5.97584 | − | 10.3505i | 0.436997 | − | 0.756901i | ||||
\(188\) | 3.35787 | − | 0.370733i | 0.244898 | − | 0.0270385i | ||||
\(189\) | −2.02350 | − | 1.70453i | −0.147188 | − | 0.123987i | ||||
\(190\) | 1.84457 | − | 0.101518i | 0.133819 | − | 0.00736493i | ||||
\(191\) | 5.67473 | + | 3.27631i | 0.410609 | + | 0.237065i | 0.691051 | − | 0.722806i | \(-0.257148\pi\) |
−0.280442 | + | 0.959871i | \(0.590481\pi\) | |||||||
\(192\) | 6.02861 | + | 5.25889i | 0.435077 | + | 0.379528i | ||||
\(193\) | 1.61818 | + | 2.80276i | 0.116479 | + | 0.201747i | 0.918370 | − | 0.395723i | \(-0.129506\pi\) |
−0.801891 | + | 0.597470i | \(0.796173\pi\) | |||||||
\(194\) | −1.42185 | + | 2.80872i | −0.102083 | + | 0.201654i | ||||
\(195\) | −1.68914 | −0.120962 | ||||||||
\(196\) | −9.71097 | + | 10.0845i | −0.693641 | + | 0.720321i | ||||
\(197\) | −19.2554 | −1.37189 | −0.685947 | − | 0.727652i | \(-0.740612\pi\) | ||||
−0.685947 | + | 0.727652i | \(0.740612\pi\) | |||||||
\(198\) | 1.35155 | − | 2.66984i | 0.0960503 | − | 0.189737i | ||||
\(199\) | 4.31086 | + | 7.46663i | 0.305589 | + | 0.529296i | 0.977392 | − | 0.211434i | \(-0.0678133\pi\) |
−0.671803 | + | 0.740730i | \(0.734480\pi\) | |||||||
\(200\) | 10.4993 | − | 8.63978i | 0.742416 | − | 0.610925i | ||||
\(201\) | −6.79878 | − | 3.92528i | −0.479549 | − | 0.276868i | ||||
\(202\) | −1.08426 | + | 0.0596741i | −0.0762886 | + | 0.00419865i | ||||
\(203\) | −14.2108 | − | 11.9707i | −0.997400 | − | 0.840177i | ||||
\(204\) | 1.23970 | + | 11.2284i | 0.0867961 | + | 0.786144i | ||||
\(205\) | −1.49645 | + | 2.59193i | −0.104517 | + | 0.181028i | ||||
\(206\) | 10.2286 | − | 6.68073i | 0.712663 | − | 0.465469i | ||||
\(207\) | −4.13127 | + | 2.38519i | −0.287143 | + | 0.165782i | ||||
\(208\) | 14.6878 | + | 4.60269i | 1.01842 | + | 0.319139i | ||||
\(209\) | 6.29681i | 0.435559i | ||||||||
\(210\) | −1.51142 | + | 0.642823i | −0.104298 | + | 0.0443590i | ||||
\(211\) | 6.09787i | 0.419795i | 0.977723 | + | 0.209897i | \(0.0673130\pi\) | ||||
−0.977723 | + | 0.209897i | \(0.932687\pi\) | |||||||
\(212\) | 8.61120 | − | 19.6172i | 0.591419 | − | 1.34731i | ||||
\(213\) | −1.01310 | + | 0.584912i | −0.0694163 | + | 0.0400775i | ||||
\(214\) | −1.96764 | − | 3.01258i | −0.134505 | − | 0.205936i | ||||
\(215\) | −0.962744 | + | 1.66752i | −0.0656586 | + | 0.113724i | ||||
\(216\) | 0.464416 | + | 2.79004i | 0.0315995 | + | 0.189838i | ||||
\(217\) | 3.44842 | − | 19.3404i | 0.234094 | − | 1.31291i | ||||
\(218\) | 0.529035 | + | 9.61245i | 0.0358308 | + | 0.651037i | ||||
\(219\) | 8.69036 | + | 5.01738i | 0.587240 | + | 0.339043i | ||||
\(220\) | −1.09977 | − | 1.49714i | −0.0741466 | − | 0.100937i | ||||
\(221\) | 10.8674 | + | 18.8229i | 0.731022 | + | 1.26617i | ||||
\(222\) | −6.67051 | − | 3.37680i | −0.447695 | − | 0.226636i | ||||
\(223\) | 2.44944 | 0.164027 | 0.0820134 | − | 0.996631i | \(-0.473865\pi\) | ||||
0.0820134 | + | 0.996631i | \(0.473865\pi\) | |||||||
\(224\) | 14.8941 | − | 1.47120i | 0.995157 | − | 0.0982988i | ||||
\(225\) | 4.80731 | 0.320487 | ||||||||
\(226\) | 17.2113 | + | 8.71286i | 1.14488 | + | 0.579571i | ||||
\(227\) | −11.6398 | − | 20.1607i | −0.772561 | − | 1.33811i | −0.936155 | − | 0.351587i | \(-0.885642\pi\) |
0.163595 | − | 0.986528i | \(-0.447691\pi\) | |||||||
\(228\) | −3.52350 | − | 4.79661i | −0.233350 | − | 0.317663i | ||||
\(229\) | −10.1385 | − | 5.85346i | −0.669970 | − | 0.386808i | 0.126095 | − | 0.992018i | \(-0.459756\pi\) |
−0.796065 | + | 0.605211i | \(0.793089\pi\) | |||||||
\(230\) | 0.162738 | + | 2.95691i | 0.0107306 | + | 0.194973i | ||||
\(231\) | −1.90467 | − | 5.26438i | −0.125318 | − | 0.346371i | ||||
\(232\) | 3.26153 | + | 19.5940i | 0.214130 | + | 1.28641i | ||||
\(233\) | 4.08426 | − | 7.07415i | 0.267569 | − | 0.463443i | −0.700664 | − | 0.713491i | \(-0.747113\pi\) |
0.968234 | + | 0.250048i | \(0.0804463\pi\) | |||||||
\(234\) | 2.97584 | + | 4.55620i | 0.194537 | + | 0.297848i | ||||
\(235\) | 0.642129 | − | 0.370733i | 0.0418879 | − | 0.0241840i | ||||
\(236\) | 6.52607 | − | 14.8671i | 0.424811 | − | 0.967763i | ||||
\(237\) | 15.5836i | 1.01226i | ||||||||
\(238\) | 16.8874 | + | 12.7068i | 1.09465 | + | 0.823662i | ||||
\(239\) | − | 18.1984i | − | 1.17716i | −0.808439 | − | 0.588579i | \(-0.799687\pi\) | ||
0.808439 | − | 0.588579i | \(-0.200313\pi\) | |||||||
\(240\) | 1.67551 | + | 0.525049i | 0.108154 | + | 0.0338918i | ||||
\(241\) | 25.0409 | − | 14.4574i | 1.61303 | − | 0.931282i | 0.624364 | − | 0.781133i | \(-0.285358\pi\) |
0.988663 | − | 0.150149i | \(-0.0479753\pi\) | |||||||
\(242\) | −7.72305 | + | 5.04424i | −0.496456 | + | 0.324256i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 1.35787 | + | 12.2987i | 0.0869288 | + | 0.787346i | ||||
\(245\) | −1.06198 | + | 2.88338i | −0.0678476 | + | 0.184212i | ||||
\(246\) | 9.62772 | − | 0.529876i | 0.613841 | − | 0.0337836i | ||||
\(247\) | −9.91696 | − | 5.72556i | −0.631001 | − | 0.364309i | ||||
\(248\) | −16.2171 | + | 13.3448i | −1.02979 | + | 0.847398i | ||||
\(249\) | 2.74822 | + | 4.76007i | 0.174162 | + | 0.301657i | ||||
\(250\) | 2.74978 | − | 5.43189i | 0.173911 | − | 0.343543i | ||||
\(251\) | −20.3586 | −1.28502 | −0.642512 | − | 0.766276i | \(-0.722108\pi\) | ||||
−0.642512 | + | 0.766276i | \(0.722108\pi\) | |||||||
\(252\) | 4.39668 | + | 2.94435i | 0.276965 | + | 0.185477i | ||||
\(253\) | −10.0940 | −0.634605 | ||||||||
\(254\) | 2.24780 | − | 4.44028i | 0.141039 | − | 0.278608i | ||||
\(255\) | 1.23970 | + | 2.14722i | 0.0776328 | + | 0.134464i | ||||
\(256\) | −13.1386 | − | 9.13109i | −0.821163 | − | 0.570693i | ||||
\(257\) | 18.4350 | + | 10.6435i | 1.14995 | + | 0.663922i | 0.948874 | − | 0.315655i | \(-0.102224\pi\) |
0.201072 | + | 0.979577i | \(0.435558\pi\) | |||||||
\(258\) | 6.19401 | − | 0.340896i | 0.385622 | − | 0.0212233i | ||||
\(259\) | −13.1529 | + | 4.75877i | −0.817281 | + | 0.295696i | ||||
\(260\) | 3.35787 | − | 0.370733i | 0.208246 | − | 0.0229919i | ||||
\(261\) | −3.51142 | + | 6.08197i | −0.217352 | + | 0.376464i | ||||
\(262\) | −23.2268 | + | 15.1704i | −1.43496 | + | 0.937230i | ||||
\(263\) | −17.4760 | + | 10.0898i | −1.07762 | + | 0.622164i | −0.930253 | − | 0.366918i | \(-0.880413\pi\) |
−0.147366 | + | 0.989082i | \(0.547080\pi\) | |||||||
\(264\) | −2.10079 | + | 5.60406i | −0.129295 | + | 0.344906i | ||||
\(265\) | − | 4.70215i | − | 0.288851i | ||||||
\(266\) | −11.0525 | − | 1.34915i | −0.677675 | − | 0.0827217i | ||||
\(267\) | 10.4187i | 0.637613i | ||||||||
\(268\) | 14.3770 | + | 6.31094i | 0.878213 | + | 0.385502i | ||||
\(269\) | 14.1764 | − | 8.18475i | 0.864351 | − | 0.499033i | −0.00111621 | − | 0.999999i | \(-0.500355\pi\) |
0.865467 | + | 0.500966i | \(0.167022\pi\) | |||||||
\(270\) | 0.339468 | + | 0.519747i | 0.0206593 | + | 0.0316308i | ||||
\(271\) | 6.72696 | − | 11.6514i | 0.408634 | − | 0.707775i | −0.586103 | − | 0.810236i | \(-0.699339\pi\) |
0.994737 | + | 0.102462i | \(0.0326720\pi\) | |||||||
\(272\) | −4.92883 | − | 22.0490i | −0.298854 | − | 1.33692i | ||||
\(273\) | 10.0228 | + | 1.78709i | 0.606610 | + | 0.108159i | ||||
\(274\) | 0.262545 | + | 4.77038i | 0.0158609 | + | 0.288189i | ||||
\(275\) | 8.80935 | + | 5.08608i | 0.531224 | + | 0.306702i | ||||
\(276\) | 7.68914 | − | 5.64831i | 0.462832 | − | 0.339988i | ||||
\(277\) | −1.40366 | − | 2.43120i | −0.0843375 | − | 0.146077i | 0.820771 | − | 0.571257i | \(-0.193544\pi\) |
−0.905109 | + | 0.425180i | \(0.860211\pi\) | |||||||
\(278\) | 20.7535 | + | 10.5060i | 1.24471 | + | 0.630107i | ||||
\(279\) | −7.42528 | −0.444540 | ||||||||
\(280\) | 2.86350 | − | 1.60961i | 0.171127 | − | 0.0961926i | ||||
\(281\) | −25.4502 | −1.51823 | −0.759115 | − | 0.650957i | \(-0.774368\pi\) | ||||
−0.759115 | + | 0.650957i | \(0.774368\pi\) | |||||||
\(282\) | −2.13127 | − | 1.07891i | −0.126915 | − | 0.0642482i | ||||
\(283\) | −2.36975 | − | 4.10452i | −0.140867 | − | 0.243988i | 0.786957 | − | 0.617008i | \(-0.211656\pi\) |
−0.927823 | + | 0.373020i | \(0.878322\pi\) | |||||||
\(284\) | 1.88558 | − | 1.38511i | 0.111889 | − | 0.0821914i | ||||
\(285\) | −1.13127 | − | 0.653140i | −0.0670108 | − | 0.0386887i | ||||
\(286\) | 0.632787 | + | 11.4976i | 0.0374175 | + | 0.679867i | ||||
\(287\) | 11.6217 | − | 13.7965i | 0.686009 | − | 0.814382i | ||||
\(288\) | −1.53558 | − | 5.44445i | −0.0904851 | − | 0.320817i | ||||
\(289\) | 7.45168 | − | 12.9067i | 0.438334 | − | 0.759217i | ||||
\(290\) | 2.38403 | + | 3.65010i | 0.139995 | + | 0.214341i | ||||
\(291\) | 1.92782 | − | 1.11302i | 0.113011 | − | 0.0652467i | ||||
\(292\) | −18.3770 | − | 8.06679i | −1.07543 | − | 0.472073i | ||||
\(293\) | 3.22818i | 0.188592i | 0.995544 | + | 0.0942960i | \(0.0300600\pi\) | ||||
−0.995544 | + | 0.0942960i | \(0.969940\pi\) | |||||||
\(294\) | 9.64845 | − | 2.21526i | 0.562709 | − | 0.129196i | ||||
\(295\) | − | 3.56357i | − | 0.207479i | ||||||
\(296\) | 14.0016 | + | 5.24876i | 0.813826 | + | 0.305078i | ||||
\(297\) | −1.83249 | + | 1.05799i | −0.106332 | + | 0.0613907i | ||||
\(298\) | −7.67183 | + | 5.01079i | −0.444417 | + | 0.290267i | ||||
\(299\) | 9.17828 | − | 15.8972i | 0.530794 | − | 0.919362i | ||||
\(300\) | −9.55656 | + | 1.05511i | −0.551748 | + | 0.0609170i | ||||
\(301\) | 7.47686 | − | 8.87601i | 0.430959 | − | 0.511605i | ||||
\(302\) | −10.9706 | + | 0.603784i | −0.631288 | + | 0.0347439i | ||||
\(303\) | 0.664978 | + | 0.383925i | 0.0382020 | + | 0.0220559i | ||||
\(304\) | 8.05721 | + | 8.76193i | 0.462113 | + | 0.502531i | ||||
\(305\) | 1.35787 | + | 2.35190i | 0.0777515 | + | 0.134669i | ||||
\(306\) | 3.60777 | − | 7.12676i | 0.206242 | − | 0.407410i | ||||
\(307\) | 5.45523 | 0.311347 | 0.155673 | − | 0.987809i | \(-0.450245\pi\) | ||||
0.155673 | + | 0.987809i | \(0.450245\pi\) | |||||||
\(308\) | 4.94177 | + | 10.0471i | 0.281584 | + | 0.572488i | ||||
\(309\) | −8.63878 | −0.491443 | ||||||||
\(310\) | −2.08190 | + | 4.11258i | −0.118244 | + | 0.233579i | ||||
\(311\) | 15.2625 | + | 26.4355i | 0.865460 | + | 1.49902i | 0.866590 | + | 0.499020i | \(0.166307\pi\) |
−0.00113066 | + | 0.999999i | \(0.500360\pi\) | |||||||
\(312\) | −6.91574 | − | 8.40423i | −0.391526 | − | 0.475796i | ||||
\(313\) | −16.3093 | − | 9.41621i | −0.921859 | − | 0.532235i | −0.0376312 | − | 0.999292i | \(-0.511981\pi\) |
−0.884228 | + | 0.467056i | \(0.845315\pi\) | |||||||
\(314\) | 11.9517 | − | 0.657778i | 0.674472 | − | 0.0371206i | ||||
\(315\) | 1.14335 | + | 0.203861i | 0.0644206 | + | 0.0114863i | ||||
\(316\) | −3.42030 | − | 30.9790i | −0.192407 | − | 1.74270i | ||||
\(317\) | −8.58259 | + | 14.8655i | −0.482046 | + | 0.834929i | −0.999788 | − | 0.0206085i | \(-0.993440\pi\) |
0.517741 | + | 0.855537i | \(0.326773\pi\) | |||||||
\(318\) | −12.6834 | + | 8.28403i | −0.711249 | + | 0.464545i | ||||
\(319\) | −12.8693 | + | 7.43009i | −0.720542 | + | 0.416005i | ||||
\(320\) | −3.44601 | − | 0.676014i | −0.192638 | − | 0.0377904i | ||||
\(321\) | 2.54433i | 0.142011i | ||||||||
\(322\) | 2.16274 | − | 17.7176i | 0.120525 | − | 0.987365i | ||||
\(323\) | 16.8085i | 0.935248i | ||||||||
\(324\) | 0.803884 | − | 1.83133i | 0.0446602 | − | 0.101741i | ||||
\(325\) | −16.0203 | + | 9.24933i | −0.888647 | + | 0.513061i | ||||
\(326\) | −5.37827 | − | 8.23448i | −0.297875 | − | 0.456066i | ||||
\(327\) | 3.40366 | − | 5.89531i | 0.188223 | − | 0.326011i | ||||
\(328\) | −19.0228 | + | 3.16645i | −1.05036 | + | 0.174838i | ||||
\(329\) | −4.20244 | + | 1.52046i | −0.231688 | + | 0.0838256i | ||||
\(330\) | 0.0721849 | + | 1.31158i | 0.00397365 | + | 0.0722003i | ||||
\(331\) | 18.6081 | + | 10.7434i | 1.02280 | + | 0.590511i | 0.914912 | − | 0.403652i | \(-0.132259\pi\) |
0.107883 | + | 0.994164i | \(0.465593\pi\) | |||||||
\(332\) | −6.50800 | − | 8.85945i | −0.357173 | − | 0.486225i | ||||
\(333\) | 2.64335 | + | 4.57842i | 0.144855 | + | 0.250896i | ||||
\(334\) | 10.2457 | + | 5.18666i | 0.560619 | + | 0.283801i | ||||
\(335\) | 3.44610 | 0.188280 | ||||||||
\(336\) | −9.38648 | − | 4.88816i | −0.512074 | − | 0.266671i | ||||
\(337\) | 5.91046 | 0.321964 | 0.160982 | − | 0.986957i | \(-0.448534\pi\) | ||||
0.160982 | + | 0.986957i | \(0.448534\pi\) | |||||||
\(338\) | −2.28038 | − | 1.15439i | −0.124036 | − | 0.0627907i | ||||
\(339\) | −6.82041 | − | 11.8133i | −0.370434 | − | 0.641610i | ||||
\(340\) | −2.93569 | − | 3.99640i | −0.159210 | − | 0.216735i | ||||
\(341\) | −13.6068 | − | 7.85586i | −0.736847 | − | 0.425419i | ||||
\(342\) | 0.231269 | + | 4.20212i | 0.0125056 | + | 0.227224i | ||||
\(343\) | 9.35208 | − | 15.9856i | 0.504965 | − | 0.863140i | ||||
\(344\) | −12.2384 | + | 2.03714i | −0.659850 | + | 0.109835i | ||||
\(345\) | 1.04701 | − | 1.81347i | 0.0563690 | − | 0.0976340i | ||||
\(346\) | −1.09533 | − | 1.67701i | −0.0588851 | − | 0.0901569i | ||||
\(347\) | −2.43838 | + | 1.40780i | −0.130899 | + | 0.0755746i | −0.564020 | − | 0.825761i | \(-0.690746\pi\) |
0.433121 | + | 0.901336i | \(0.357412\pi\) | |||||||
\(348\) | 5.64556 | − | 12.8612i | 0.302634 | − | 0.689430i | ||||
\(349\) | 9.54077i | 0.510705i | 0.966848 | + | 0.255353i | \(0.0821916\pi\) | ||||
−0.966848 | + | 0.255353i | \(0.917808\pi\) | |||||||
\(350\) | −10.8149 | + | 14.3730i | −0.578080 | + | 0.768267i | ||||
\(351\) | − | 3.84803i | − | 0.205392i | ||||||
\(352\) | 2.94622 | − | 11.6015i | 0.157034 | − | 0.618363i | ||||
\(353\) | 8.63351 | − | 4.98456i | 0.459516 | − | 0.265301i | −0.252325 | − | 0.967643i | \(-0.581195\pi\) |
0.711841 | + | 0.702341i | \(0.247862\pi\) | |||||||
\(354\) | −9.61221 | + | 6.27813i | −0.510883 | + | 0.333679i | ||||
\(355\) | 0.256754 | − | 0.444711i | 0.0136271 | − | 0.0236028i | ||||
\(356\) | −2.28670 | − | 20.7115i | −0.121195 | − | 1.09771i | ||||
\(357\) | −5.08426 | − | 14.0525i | −0.269088 | − | 0.743739i | ||||
\(358\) | 15.1541 | − | 0.834029i | 0.800920 | − | 0.0440798i | ||||
\(359\) | 6.00000 | + | 3.46410i | 0.316668 | + | 0.182828i | 0.649906 | − | 0.760014i | \(-0.274808\pi\) |
−0.333238 | + | 0.942843i | \(0.608141\pi\) | |||||||
\(360\) | −0.788909 | − | 0.958709i | −0.0415792 | − | 0.0505284i | ||||
\(361\) | 5.07218 | + | 8.78528i | 0.266957 | + | 0.462383i | ||||
\(362\) | −0.775587 | + | 1.53209i | −0.0407639 | + | 0.0805248i | ||||
\(363\) | 6.52264 | 0.342350 | ||||||||
\(364\) | −20.3169 | − | 1.35276i | −1.06489 | − | 0.0709040i | ||||
\(365\) | −4.40488 | −0.230562 | ||||||||
\(366\) | 3.95168 | − | 7.80613i | 0.206558 | − | 0.408033i | ||||
\(367\) | 8.95234 | + | 15.5059i | 0.467308 | + | 0.809402i | 0.999302 | − | 0.0373465i | \(-0.0118905\pi\) |
−0.531994 | + | 0.846748i | \(0.678557\pi\) | |||||||
\(368\) | −14.0457 | + | 12.9160i | −0.732183 | + | 0.673293i | ||||
\(369\) | −5.90467 | − | 3.40907i | −0.307385 | − | 0.177469i | ||||
\(370\) | 3.27695 | − | 0.180352i | 0.170361 | − | 0.00937604i | ||||
\(371\) | −4.97482 | + | 27.9012i | −0.258280 | + | 1.44856i | ||||
\(372\) | 14.7609 | − | 1.62971i | 0.765316 | − | 0.0844964i | ||||
\(373\) | −7.23716 | + | 12.5351i | −0.374726 | + | 0.649045i | −0.990286 | − | 0.139045i | \(-0.955597\pi\) |
0.615560 | + | 0.788090i | \(0.288930\pi\) | |||||||
\(374\) | 14.1512 | − | 9.24274i | 0.731742 | − | 0.477931i | ||||
\(375\) | −3.72827 | + | 2.15252i | −0.192527 | + | 0.111156i | ||||
\(376\) | 4.47360 | + | 1.67701i | 0.230708 | + | 0.0864854i | ||||
\(377\) | − | 27.0241i | − | 1.39181i | ||||||
\(378\) | −1.46442 | − | 3.44318i | −0.0753215 | − | 0.177098i | ||||
\(379\) | 21.5969i | 1.10936i | 0.832064 | + | 0.554679i | \(0.187159\pi\) | ||||
−0.832064 | + | 0.554679i | \(0.812841\pi\) | |||||||
\(380\) | 2.39223 | + | 1.05010i | 0.122719 | + | 0.0538689i | ||||
\(381\) | −3.04766 | + | 1.75957i | −0.156137 | + | 0.0901455i | ||||
\(382\) | 5.06741 | + | 7.75853i | 0.259271 | + | 0.396961i | ||||
\(383\) | −0.318169 | + | 0.551085i | −0.0162577 | + | 0.0281591i | −0.874040 | − | 0.485854i | \(-0.838509\pi\) |
0.857782 | + | 0.514013i | \(0.171842\pi\) | |||||||
\(384\) | 4.24757 | + | 10.4861i | 0.216758 | + | 0.535116i | ||||
\(385\) | 1.87950 | + | 1.58323i | 0.0957881 | + | 0.0806887i | ||||
\(386\) | 0.251515 | + | 4.56997i | 0.0128018 | + | 0.232606i | ||||
\(387\) | −3.79878 | − | 2.19323i | −0.193103 | − | 0.111488i | ||||
\(388\) | −3.58806 | + | 2.63572i | −0.182156 | + | 0.133809i | ||||
\(389\) | 0.509547 | + | 0.882561i | 0.0258351 | + | 0.0447476i | 0.878654 | − | 0.477459i | \(-0.158442\pi\) |
−0.852819 | + | 0.522207i | \(0.825109\pi\) | |||||||
\(390\) | −2.13127 | − | 1.07891i | −0.107921 | − | 0.0546327i | ||||
\(391\) | −26.9446 | −1.36265 | ||||||||
\(392\) | −18.6942 | + | 6.52140i | −0.944197 | + | 0.329381i | ||||
\(393\) | 19.6167 | 0.989530 | ||||||||
\(394\) | −24.2956 | − | 12.2991i | −1.22399 | − | 0.619621i | ||||
\(395\) | −3.42030 | − | 5.92414i | −0.172094 | − | 0.298076i | ||||
\(396\) | 3.41063 | − | 2.50539i | 0.171391 | − | 0.125901i | ||||
\(397\) | 25.8035 | + | 14.8976i | 1.29504 | + | 0.747691i | 0.979543 | − | 0.201236i | \(-0.0644957\pi\) |
0.315496 | + | 0.948927i | \(0.397829\pi\) | |||||||
\(398\) | 0.670043 | + | 12.1745i | 0.0335862 | + | 0.610254i | ||||
\(399\) | 6.02163 | + | 5.07242i | 0.301458 | + | 0.253939i | ||||
\(400\) | 18.7661 | − | 4.19496i | 0.938305 | − | 0.209748i | ||||
\(401\) | 3.39513 | − | 5.88053i | 0.169545 | − | 0.293660i | −0.768715 | − | 0.639591i | \(-0.779104\pi\) |
0.938260 | + | 0.345931i | \(0.112437\pi\) | |||||||
\(402\) | −6.07117 | − | 9.29535i | −0.302802 | − | 0.463610i | ||||
\(403\) | 24.7447 | − | 14.2863i | 1.23262 | − | 0.711654i | ||||
\(404\) | −1.40619 | − | 0.617263i | −0.0699605 | − | 0.0307100i | ||||
\(405\) | − | 0.438962i | − | 0.0218122i | ||||||
\(406\) | −10.2844 | − | 24.1809i | −0.510405 | − | 1.20008i | ||||
\(407\) | 11.1865i | 0.554496i | ||||||||
\(408\) | −5.60777 | + | 14.9593i | −0.277626 | + | 0.740594i | ||||
\(409\) | 3.21574 | − | 1.85661i | 0.159008 | − | 0.0918034i | −0.418384 | − | 0.908270i | \(-0.637404\pi\) |
0.577393 | + | 0.816467i | \(0.304070\pi\) | |||||||
\(410\) | −3.54370 | + | 2.31454i | −0.175011 | + | 0.114307i | ||||
\(411\) | 1.68914 | − | 2.92567i | 0.0833190 | − | 0.144313i | ||||
\(412\) | 17.1732 | − | 1.89605i | 0.846064 | − | 0.0934116i | ||||
\(413\) | −3.77021 | + | 21.1452i | −0.185520 | + | 1.04049i | ||||
\(414\) | −6.73615 | + | 0.370733i | −0.331063 | + | 0.0182206i | ||||
\(415\) | −2.08949 | − | 1.20637i | −0.102569 | − | 0.0592182i | ||||
\(416\) | 15.5925 | + | 15.1891i | 0.764485 | + | 0.744705i | ||||
\(417\) | −8.22407 | − | 14.2445i | −0.402734 | − | 0.697556i | ||||
\(418\) | −4.02199 | + | 7.94501i | −0.196722 | + | 0.388603i | ||||
\(419\) | 20.7082 | 1.01166 | 0.505832 | − | 0.862632i | \(-0.331186\pi\) | ||||
0.505832 | + | 0.862632i | \(0.331186\pi\) | |||||||
\(420\) | −2.31764 | − | 0.154316i | −0.113089 | − | 0.00752984i | ||||
\(421\) | 15.6579 | 0.763118 | 0.381559 | − | 0.924344i | \(-0.375387\pi\) | ||||
0.381559 | + | 0.924344i | \(0.375387\pi\) | |||||||
\(422\) | −3.89492 | + | 7.69400i | −0.189602 | + | 0.374538i | ||||
\(423\) | 0.844569 | + | 1.46284i | 0.0410643 | + | 0.0711255i | ||||
\(424\) | 23.3954 | − | 19.2518i | 1.13618 | − | 0.934948i | ||||
\(425\) | 23.5153 | + | 13.5766i | 1.14066 | + | 0.658561i | ||||
\(426\) | −1.65188 | + | 0.0909137i | −0.0800339 | + | 0.00440478i | ||||
\(427\) | −5.56893 | − | 15.3921i | −0.269499 | − | 0.744876i | ||||
\(428\) | −0.558433 | − | 5.05793i | −0.0269929 | − | 0.244484i | ||||
\(429\) | 4.07117 | − | 7.05147i | 0.196558 | − | 0.340448i | ||||
\(430\) | −2.27985 | + | 1.48906i | −0.109944 | + | 0.0718089i | ||||
\(431\) | 10.2723 | − | 5.93071i | 0.494799 | − | 0.285672i | −0.231764 | − | 0.972772i | \(-0.574450\pi\) |
0.726563 | + | 0.687100i | \(0.241116\pi\) | |||||||
\(432\) | −1.19612 | + | 3.81698i | −0.0575481 | + | 0.183644i | ||||
\(433\) | 16.9269i | 0.813454i | 0.913550 | + | 0.406727i | \(0.133330\pi\) | ||||
−0.913550 | + | 0.406727i | \(0.866670\pi\) | |||||||
\(434\) | 16.7045 | − | 22.2002i | 0.801839 | − | 1.06564i | ||||
\(435\) | − | 3.08276i | − | 0.147807i | ||||||
\(436\) | −5.47229 | + | 12.4664i | −0.262075 | + | 0.597034i | ||||
\(437\) | 12.2940 | − | 7.09795i | 0.588102 | − | 0.339541i | ||||
\(438\) | 7.76030 | + | 11.8815i | 0.370802 | + | 0.567721i | ||||
\(439\) | −1.17640 | + | 2.03759i | −0.0561467 | + | 0.0972489i | −0.892733 | − | 0.450587i | \(-0.851215\pi\) |
0.836586 | + | 0.547836i | \(0.184548\pi\) | |||||||
\(440\) | −0.431365 | − | 2.59148i | −0.0205645 | − | 0.123544i | ||||
\(441\) | −6.56863 | − | 2.41931i | −0.312792 | − | 0.115205i | ||||
\(442\) | 1.68914 | + | 30.6913i | 0.0803441 | + | 1.45983i | ||||
\(443\) | −1.38904 | − | 0.801965i | −0.0659955 | − | 0.0381025i | 0.466639 | − | 0.884448i | \(-0.345465\pi\) |
−0.532635 | + | 0.846345i | \(0.678798\pi\) | |||||||
\(444\) | −6.25965 | − | 8.52137i | −0.297070 | − | 0.404406i | ||||
\(445\) | −2.28670 | − | 3.96069i | −0.108400 | − | 0.187755i | ||||
\(446\) | 3.09059 | + | 1.56454i | 0.146344 | + | 0.0740833i | ||||
\(447\) | 6.47939 | 0.306465 | ||||||||
\(448\) | 19.7324 | + | 7.65711i | 0.932269 | + | 0.361765i | ||||
\(449\) | 1.35208 | 0.0638086 | 0.0319043 | − | 0.999491i | \(-0.489843\pi\) | ||||
0.0319043 | + | 0.999491i | \(0.489843\pi\) | |||||||
\(450\) | 6.06564 | + | 3.07060i | 0.285937 | + | 0.144749i | ||||
\(451\) | −7.21350 | − | 12.4942i | −0.339670 | − | 0.588327i | ||||
\(452\) | 16.1512 | + | 21.9869i | 0.759690 | + | 1.03418i | ||||
\(453\) | 6.72827 | + | 3.88457i | 0.316122 | + | 0.182513i | ||||
\(454\) | −1.80919 | − | 32.8726i | −0.0849095 | − | 1.54279i | ||||
\(455\) | −4.20244 | + | 1.52046i | −0.197013 | + | 0.0712802i | ||||
\(456\) | −1.38203 | − | 8.30271i | −0.0647195 | − | 0.388810i | ||||
\(457\) | −11.0734 | + | 19.1797i | −0.517992 | + | 0.897189i | 0.481789 | + | 0.876287i | \(0.339987\pi\) |
−0.999782 | + | 0.0209017i | \(0.993346\pi\) | |||||||
\(458\) | −9.05345 | − | 13.8614i | −0.423040 | − | 0.647702i | ||||
\(459\) | −4.89158 | + | 2.82415i | −0.228319 | + | 0.131820i | ||||
\(460\) | −1.68335 | + | 3.83484i | −0.0784864 | + | 0.178800i | ||||
\(461\) | − | 30.7842i | − | 1.43376i | −0.697195 | − | 0.716882i | \(-0.745569\pi\) | ||
0.697195 | − | 0.716882i | \(-0.254431\pi\) | |||||||
\(462\) | 0.959316 | − | 7.85892i | 0.0446314 | − | 0.365630i | ||||
\(463\) | − | 13.8120i | − | 0.641897i | −0.947097 | − | 0.320948i | \(-0.895998\pi\) | ||
0.947097 | − | 0.320948i | \(-0.104002\pi\) | |||||||
\(464\) | −8.40014 | + | 26.8060i | −0.389967 | + | 1.24444i | ||||
\(465\) | 2.82274 | − | 1.62971i | 0.130901 | − | 0.0755759i | ||||
\(466\) | 9.67183 | − | 6.31707i | 0.448039 | − | 0.292632i | ||||
\(467\) | −8.51330 | + | 14.7455i | −0.393949 | + | 0.682339i | −0.992966 | − | 0.118397i | \(-0.962225\pi\) |
0.599018 | + | 0.800736i | \(0.295558\pi\) | |||||||
\(468\) | 0.844569 | + | 7.64957i | 0.0390402 | + | 0.353602i | ||||
\(469\) | −20.4481 | − | 3.64593i | −0.944207 | − | 0.168353i | ||||
\(470\) | 1.04701 | − | 0.0576236i | 0.0482949 | − | 0.00265798i | ||||
\(471\) | −7.32996 | − | 4.23195i | −0.337747 | − | 0.194998i | ||||
\(472\) | 17.7304 | − | 14.5901i | 0.816107 | − | 0.671564i | ||||
\(473\) | −4.64082 | − | 8.03814i | −0.213385 | − | 0.369594i | ||||
\(474\) | −9.95378 | + | 19.6626i | −0.457192 | + | 0.903135i | ||||
\(475\) | −14.3058 | −0.656395 | ||||||||
\(476\) | 13.1914 | + | 26.8194i | 0.604626 | + | 1.22927i | ||||
\(477\) | 10.7120 | 0.490468 | ||||||||
\(478\) | 11.6240 | − | 22.9619i | 0.531668 | − | 1.05025i | ||||
\(479\) | −15.8903 | − | 27.5227i | −0.726045 | − | 1.25755i | −0.958543 | − | 0.284950i | \(-0.908023\pi\) |
0.232498 | − | 0.972597i | \(-0.425310\pi\) | |||||||
\(480\) | 1.77871 | + | 1.73269i | 0.0811865 | + | 0.0790859i | ||||
\(481\) | −17.6179 | − | 10.1717i | −0.803306 | − | 0.463789i | ||||
\(482\) | 40.8299 | − | 2.24713i | 1.85975 | − | 0.102354i | ||||
\(483\) | −8.13127 | + | 9.65289i | −0.369986 | + | 0.439222i | ||||
\(484\) | −12.9665 | + | 1.43160i | −0.589386 | + | 0.0650726i | ||||
\(485\) | −0.488575 | + | 0.846237i | −0.0221851 | + | 0.0384257i | ||||
\(486\) | −1.18404 | + | 0.773342i | −0.0537090 | + | 0.0350795i | ||||
\(487\) | −4.99690 | + | 2.88496i | −0.226431 | + | 0.130730i | −0.608925 | − | 0.793228i | \(-0.708399\pi\) |
0.382493 | + | 0.923958i | \(0.375065\pi\) | |||||||
\(488\) | −6.14233 | + | 16.3853i | −0.278050 | + | 0.741727i | ||||
\(489\) | 6.95459i | 0.314497i | ||||||||
\(490\) | −3.18167 | + | 2.95979i | −0.143733 | + | 0.133709i | ||||
\(491\) | − | 22.6443i | − | 1.02192i | −0.859603 | − | 0.510962i | \(-0.829289\pi\) | ||
0.859603 | − | 0.510962i | \(-0.170711\pi\) | |||||||
\(492\) | 12.4862 | + | 5.48099i | 0.562924 | + | 0.247102i | ||||
\(493\) | −34.3528 | + | 19.8336i | −1.54717 | + | 0.893261i | ||||
\(494\) | −8.85563 | − | 13.5585i | −0.398434 | − | 0.610028i | ||||
\(495\) | 0.464416 | − | 0.804393i | 0.0208740 | − | 0.0361548i | ||||
\(496\) | −28.9858 | + | 6.47946i | −1.30150 | + | 0.290936i | ||||
\(497\) | −1.99400 | + | 2.36714i | −0.0894433 | + | 0.106181i | ||||
\(498\) | 0.427160 | + | 7.76141i | 0.0191415 | + | 0.347797i | ||||
\(499\) | −16.8383 | − | 9.72159i | −0.753785 | − | 0.435198i | 0.0732749 | − | 0.997312i | \(-0.476655\pi\) |
−0.827060 | + | 0.562114i | \(0.809988\pi\) | |||||||
\(500\) | 6.93907 | − | 5.09732i | 0.310325 | − | 0.227959i | ||||
\(501\) | −4.06011 | − | 7.03231i | −0.181392 | − | 0.314180i | ||||
\(502\) | −25.6875 | − | 13.0037i | −1.14649 | − | 0.580385i | ||||
\(503\) | −11.7570 | −0.524217 | −0.262108 | − | 0.965038i | \(-0.584418\pi\) | ||||
−0.262108 | + | 0.965038i | \(0.584418\pi\) | |||||||
\(504\) | 3.66686 | + | 6.52336i | 0.163335 | + | 0.290573i | ||||
\(505\) | −0.337057 | −0.0149989 | ||||||||
\(506\) | −12.7361 | − | 6.44740i | −0.566191 | − | 0.286622i | ||||
\(507\) | 0.903656 | + | 1.56518i | 0.0401328 | + | 0.0695120i | ||||
\(508\) | 5.67232 | − | 4.16679i | 0.251669 | − | 0.184871i | ||||
\(509\) | −17.4476 | − | 10.0734i | −0.773350 | − | 0.446494i | 0.0607186 | − | 0.998155i | \(-0.480661\pi\) |
−0.834068 | + | 0.551661i | \(0.813994\pi\) | |||||||
\(510\) | 0.192688 | + | 3.50109i | 0.00853235 | + | 0.155031i | ||||
\(511\) | 26.1373 | + | 4.66031i | 1.15624 | + | 0.206160i | ||||
\(512\) | −10.7453 | − | 19.9133i | −0.474881 | − | 0.880050i | ||||
\(513\) | 1.48792 | − | 2.57715i | 0.0656933 | − | 0.113784i | ||||
\(514\) | 16.4621 | + | 25.2045i | 0.726112 | + | 1.11172i | ||||
\(515\) | 3.28405 | − | 1.89605i | 0.144713 | − | 0.0835499i | ||||
\(516\) | 8.03305 | + | 3.52620i | 0.353635 | + | 0.155232i | ||||
\(517\) | 3.57417i | 0.157192i | ||||||||
\(518\) | −19.6353 | − | 2.39682i | −0.862725 | − | 0.105310i | ||||
\(519\) | 1.41635i | 0.0621710i | ||||||||
\(520\) | 4.47360 | + | 1.67701i | 0.196180 | + | 0.0735419i | ||||
\(521\) | −31.0965 | + | 17.9536i | −1.36236 | + | 0.786559i | −0.989938 | − | 0.141504i | \(-0.954806\pi\) |
−0.372423 | + | 0.928063i | \(0.621473\pi\) | |||||||
\(522\) | −8.31531 | + | 5.43106i | −0.363951 | + | 0.237711i | ||||
\(523\) | −22.6480 | + | 39.2276i | −0.990330 | + | 1.71530i | −0.375017 | + | 0.927018i | \(0.622363\pi\) |
−0.615312 | + | 0.788283i | \(0.710970\pi\) | |||||||
\(524\) | −38.9964 | + | 4.30548i | −1.70356 | + | 0.188086i | ||||
\(525\) | 11.9602 | − | 4.32725i | 0.521986 | − | 0.188857i | ||||
\(526\) | −28.4951 | + | 1.56827i | −1.24245 | + | 0.0683799i | ||||
\(527\) | −36.3213 | − | 20.9701i | −1.58218 | − | 0.913473i | ||||
\(528\) | −6.23018 | + | 5.72909i | −0.271134 | + | 0.249327i | ||||
\(529\) | −0.121725 | − | 0.210835i | −0.00529241 | − | 0.00916672i | ||||
\(530\) | 3.00343 | − | 5.93295i | 0.130461 | − | 0.257711i | ||||
\(531\) | 8.11818 | 0.352299 | ||||||||
\(532\) | −13.0838 | − | 8.76193i | −0.567255 | − | 0.379878i | ||||
\(533\) | 26.2364 | 1.13642 | ||||||||
\(534\) | −6.65478 | + | 13.1458i | −0.287980 | + | 0.568874i | ||||
\(535\) | −0.558433 | − | 0.967234i | −0.0241432 | − | 0.0418172i | ||||
\(536\) | 14.1091 | + | 17.1459i | 0.609422 | + | 0.740590i | ||||
\(537\) | −9.29401 | − | 5.36590i | −0.401066 | − | 0.231556i | ||||
\(538\) | 23.1150 | − | 1.27217i | 0.996558 | − | 0.0548470i | ||||
\(539\) | −9.47736 | − | 11.3829i | −0.408219 | − | 0.490296i | ||||
\(540\) | 0.0963438 | + | 0.872621i | 0.00414598 | + | 0.0375516i | ||||
\(541\) | 16.9491 | − | 29.3568i | 0.728701 | − | 1.26215i | −0.228732 | − | 0.973490i | \(-0.573458\pi\) |
0.957432 | − | 0.288657i | \(-0.0932089\pi\) | |||||||
\(542\) | 15.9299 | − | 10.4045i | 0.684249 | − | 0.446911i | ||||
\(543\) | 1.05158 | − | 0.607128i | 0.0451275 | − | 0.0260543i | ||||
\(544\) | 7.86452 | − | 30.9686i | 0.337189 | − | 1.32777i | ||||
\(545\) | 2.98815i | 0.127998i | ||||||||
\(546\) | 11.5049 | + | 8.65680i | 0.492363 | + | 0.370477i | ||||
\(547\) | − | 7.83251i | − | 0.334894i | −0.985881 | − | 0.167447i | \(-0.946448\pi\) | ||
0.985881 | − | 0.167447i | \(-0.0535523\pi\) | |||||||
\(548\) | −2.71574 | + | 6.18674i | −0.116011 | + | 0.264284i | ||||
\(549\) | −5.35787 | + | 3.09337i | −0.228668 | + | 0.132022i | ||||
\(550\) | 7.86656 | + | 12.0442i | 0.335431 | + | 0.513567i | ||||
\(551\) | 10.4494 | − | 18.0990i | 0.445161 | − | 0.771042i | ||||
\(552\) | 13.3096 | − | 2.21544i | 0.566492 | − | 0.0942956i | ||||
\(553\) | 14.0274 | + | 38.7708i | 0.596506 | + | 1.64870i | ||||
\(554\) | −0.218172 | − | 3.96414i | −0.00926925 | − | 0.168420i | ||||
\(555\) | −2.00975 | − | 1.16033i | −0.0853092 | − | 0.0492533i | ||||
\(556\) | 19.4752 | + | 26.5119i | 0.825932 | + | 1.12436i | ||||
\(557\) | −7.69701 | − | 13.3316i | −0.326133 | − | 0.564879i | 0.655608 | − | 0.755101i | \(-0.272412\pi\) |
−0.981741 | + | 0.190223i | \(0.939079\pi\) | |||||||
\(558\) | −9.36887 | − | 4.74278i | −0.396616 | − | 0.200778i | ||||
\(559\) | 16.8792 | 0.713914 | ||||||||
\(560\) | 4.64115 | − | 0.201909i | 0.196124 | − | 0.00853223i | ||||
\(561\) | −11.9517 | −0.504600 | ||||||||
\(562\) | −32.1118 | − | 16.2559i | −1.35455 | − | 0.685714i | ||||
\(563\) | 8.22052 | + | 14.2384i | 0.346453 | + | 0.600075i | 0.985617 | − | 0.168996i | \(-0.0540525\pi\) |
−0.639163 | + | 0.769071i | \(0.720719\pi\) | |||||||
\(564\) | −2.00000 | − | 2.72263i | −0.0842152 | − | 0.114644i | ||||
\(565\) | 5.18559 | + | 2.99390i | 0.218159 | + | 0.125954i | ||||
\(566\) | −0.368333 | − | 6.69252i | −0.0154822 | − | 0.281308i | ||||
\(567\) | −0.464416 | + | 2.60467i | −0.0195037 | + | 0.109386i | ||||
\(568\) | 3.26385 | − | 0.543286i | 0.136948 | − | 0.0227958i | ||||
\(569\) | 18.6146 | − | 32.2415i | 0.780366 | − | 1.35163i | −0.151363 | − | 0.988478i | \(-0.548366\pi\) |
0.931729 | − | 0.363155i | \(-0.118300\pi\) | |||||||
\(570\) | −1.01020 | − | 1.54668i | −0.0423127 | − | 0.0647835i | ||||
\(571\) | 17.9660 | − | 10.3727i | 0.751854 | − | 0.434083i | −0.0745095 | − | 0.997220i | \(-0.523739\pi\) |
0.826363 | + | 0.563137i | \(0.190406\pi\) | |||||||
\(572\) | −6.54549 | + | 14.9113i | −0.273681 | + | 0.623473i | ||||
\(573\) | − | 6.55261i | − | 0.273739i | ||||||
\(574\) | 23.4760 | − | 9.98458i | 0.979871 | − | 0.416748i | ||||
\(575\) | − | 22.9327i | − | 0.956361i | ||||||
\(576\) | 1.54003 | − | 7.85037i | 0.0641679 | − | 0.327099i | ||||
\(577\) | −13.3550 | + | 7.71054i | −0.555978 | + | 0.320994i | −0.751530 | − | 0.659699i | \(-0.770684\pi\) |
0.195552 | + | 0.980693i | \(0.437350\pi\) | |||||||
\(578\) | 17.6461 | − | 11.5254i | 0.733982 | − | 0.479393i | ||||
\(579\) | 1.61818 | − | 2.80276i | 0.0672491 | − | 0.116479i | ||||
\(580\) | 0.676608 | + | 6.12829i | 0.0280946 | + | 0.254463i | ||||
\(581\) | 11.1221 | + | 9.36888i | 0.461422 | + | 0.388687i | ||||
\(582\) | 3.14335 | − | 0.172999i | 0.130296 | − | 0.00717104i | ||||
\(583\) | 19.6296 | + | 11.3332i | 0.812975 | + | 0.469371i | ||||
\(584\) | −18.0346 | − | 21.9163i | −0.746279 | − | 0.906902i | ||||
\(585\) | 0.844569 | + | 1.46284i | 0.0349186 | + | 0.0604808i | ||||
\(586\) | −2.06195 | + | 4.07316i | −0.0851783 | + | 0.168261i | ||||
\(587\) | 34.0410 | 1.40502 | 0.702512 | − | 0.711672i | \(-0.252062\pi\) | ||||
0.702512 | + | 0.711672i | \(0.252062\pi\) | |||||||
\(588\) | 13.5889 | + | 3.36770i | 0.560397 | + | 0.138881i | ||||
\(589\) | 22.0965 | 0.910469 | ||||||||
\(590\) | 2.27618 | − | 4.49634i | 0.0937086 | − | 0.185111i | ||||
\(591\) | 9.62772 | + | 16.6757i | 0.396032 | + | 0.685947i | ||||
\(592\) | 14.3140 | + | 15.5659i | 0.588300 | + | 0.639756i | ||||
\(593\) | 27.5697 | + | 15.9173i | 1.13215 | + | 0.653647i | 0.944475 | − | 0.328584i | \(-0.106571\pi\) |
0.187675 | + | 0.982231i | \(0.439905\pi\) | |||||||
\(594\) | −2.98792 | + | 0.164445i | −0.122596 | + | 0.00674724i | ||||
\(595\) | 5.01706 | + | 4.22620i | 0.205679 | + | 0.173257i | ||||
\(596\) | −12.8805 | + | 1.42210i | −0.527606 | + | 0.0582516i | ||||
\(597\) | 4.31086 | − | 7.46663i | 0.176432 | − | 0.305589i | ||||
\(598\) | 21.7348 | − | 14.1959i | 0.888804 | − | 0.580514i | ||||
\(599\) | −18.0000 | + | 10.3923i | −0.735460 | + | 0.424618i | −0.820416 | − | 0.571767i | \(-0.806258\pi\) |
0.0849563 | + | 0.996385i | \(0.472925\pi\) | |||||||
\(600\) | −12.7319 | − | 4.77281i | −0.519779 | − | 0.194849i | ||||
\(601\) | − | 15.8614i | − | 0.646999i | −0.946228 | − | 0.323499i | \(-0.895141\pi\) | ||
0.946228 | − | 0.323499i | \(-0.104859\pi\) | |||||||
\(602\) | 15.1034 | − | 6.42360i | 0.615567 | − | 0.261806i | ||||
\(603\) | 7.85056i | 0.319699i | ||||||||
\(604\) | −14.2279 | − | 6.24549i | −0.578923 | − | 0.254125i | ||||
\(605\) | −2.47960 | + | 1.43160i | −0.100810 | + | 0.0582027i | ||||
\(606\) | 0.593811 | + | 0.909163i | 0.0241219 | + | 0.0369322i | ||||
\(607\) | −21.7151 | + | 37.6116i | −0.881388 | + | 1.52661i | −0.0315900 | + | 0.999501i | \(0.510057\pi\) |
−0.849798 | + | 0.527108i | \(0.823276\pi\) | |||||||
\(608\) | 4.56965 | + | 16.2018i | 0.185324 | + | 0.657070i | ||||
\(609\) | −3.26153 | + | 18.2922i | −0.132164 | + | 0.741238i | ||||
\(610\) | 0.211056 | + | 3.83484i | 0.00854539 | + | 0.155268i | ||||
\(611\) | −5.62903 | − | 3.24992i | −0.227726 | − | 0.131478i | ||||
\(612\) | 9.10422 | − | 6.68780i | 0.368016 | − | 0.270338i | ||||
\(613\) | −7.76030 | − | 13.4412i | −0.313436 | − | 0.542887i | 0.665668 | − | 0.746248i | \(-0.268147\pi\) |
−0.979104 | + | 0.203361i | \(0.934813\pi\) | |||||||
\(614\) | 6.88315 | + | 3.48445i | 0.277781 | + | 0.140621i | ||||
\(615\) | 2.99290 | 0.120685 | ||||||||
\(616\) | −0.182159 | + | 15.8335i | −0.00733939 | + | 0.637949i | ||||
\(617\) | −19.8053 | −0.797330 | −0.398665 | − | 0.917097i | \(-0.630526\pi\) | ||||
−0.398665 | + | 0.917097i | \(0.630526\pi\) | |||||||
\(618\) | −10.9000 | − | 5.51789i | −0.438462 | − | 0.221962i | ||||
\(619\) | −8.15665 | − | 14.1277i | −0.327844 | − | 0.567842i | 0.654240 | − | 0.756287i | \(-0.272989\pi\) |
−0.982084 | + | 0.188445i | \(0.939655\pi\) | |||||||
\(620\) | −5.25369 | + | 3.85927i | −0.210993 | + | 0.154992i | ||||
\(621\) | 4.13127 | + | 2.38519i | 0.165782 | + | 0.0957144i | ||||
\(622\) | 2.37228 | + | 43.1038i | 0.0951197 | + | 1.72830i | ||||
\(623\) | 9.37827 | + | 25.9209i | 0.375733 | + | 1.03850i | ||||
\(624\) | −3.35787 | − | 15.0214i | −0.134422 | − | 0.601336i | ||||
\(625\) | −11.0734 | + | 19.1797i | −0.442936 | + | 0.767188i | ||||
\(626\) | −14.5639 | − | 22.2983i | −0.582090 | − | 0.891218i | ||||
\(627\) | 5.45320 | − | 3.14840i | 0.217780 | − | 0.125735i | ||||
\(628\) | 15.5002 | + | 6.80400i | 0.618526 | + | 0.271509i | ||||
\(629\) | 29.8609i | 1.19063i | ||||||||
\(630\) | 1.31241 | + | 0.987521i | 0.0522878 | + | 0.0393438i | ||||
\(631\) | − | 27.3095i | − | 1.08717i | −0.839353 | − | 0.543587i | \(-0.817066\pi\) | ||
0.839353 | − | 0.543587i | \(-0.182934\pi\) | |||||||
\(632\) | 15.4718 | − | 41.2724i | 0.615433 | − | 1.64173i | ||||
\(633\) | 5.28091 | − | 3.04894i | 0.209897 | − | 0.121184i | ||||
\(634\) | −20.3242 | + | 13.2746i | −0.807177 | + | 0.527200i | ||||
\(635\) | 0.772384 | − | 1.33781i | 0.0306511 | − | 0.0530893i | ||||
\(636\) | −21.2946 | + | 2.35108i | −0.844385 | + | 0.0932263i | ||||
\(637\) | 26.5447 | − | 4.57583i | 1.05174 | − | 0.181301i | ||||
\(638\) | −20.9837 | + | 1.15487i | −0.830753 | + | 0.0457217i | ||||
\(639\) | 1.01310 | + | 0.584912i | 0.0400775 | + | 0.0231388i | ||||
\(640\) | −3.91622 | − | 3.05405i | −0.154802 | − | 0.120722i | ||||
\(641\) | −4.89533 | − | 8.47896i | −0.193354 | − | 0.334899i | 0.753006 | − | 0.658014i | \(-0.228603\pi\) |
−0.946360 | + | 0.323115i | \(0.895270\pi\) | |||||||
\(642\) | −1.62515 | + | 3.21032i | −0.0641397 | + | 0.126701i | ||||
\(643\) | −7.26458 | −0.286487 | −0.143244 | − | 0.989687i | \(-0.545753\pi\) | ||||
−0.143244 | + | 0.989687i | \(0.545753\pi\) | |||||||
\(644\) | 14.0457 | − | 20.9738i | 0.553478 | − | 0.826485i | ||||
\(645\) | 1.92549 | 0.0758160 | ||||||||
\(646\) | −10.7361 | + | 21.2081i | −0.422408 | + | 0.834422i | ||||
\(647\) | 23.0419 | + | 39.9098i | 0.905872 | + | 1.56902i | 0.819742 | + | 0.572733i | \(0.194117\pi\) |
0.0861302 | + | 0.996284i | \(0.472550\pi\) | |||||||
\(648\) | 2.18404 | − | 1.79722i | 0.0857971 | − | 0.0706013i | ||||
\(649\) | 14.8765 | + | 8.58893i | 0.583952 | + | 0.337145i | ||||
\(650\) | −26.1215 | + | 1.43764i | −1.02457 | + | 0.0563887i | ||||
\(651\) | −18.4735 | + | 6.68379i | −0.724034 | + | 0.261958i | ||||
\(652\) | −1.52640 | − | 13.8252i | −0.0597784 | − | 0.541435i | ||||
\(653\) | 3.38990 | − | 5.87149i | 0.132657 | − | 0.229769i | −0.792043 | − | 0.610465i | \(-0.790982\pi\) |
0.924700 | + | 0.380696i | \(0.124316\pi\) | |||||||
\(654\) | 8.06011 | − | 5.26438i | 0.315175 | − | 0.205854i | ||||
\(655\) | −7.45732 | + | 4.30548i | −0.291381 | + | 0.168229i | ||||
\(656\) | −26.0246 | − | 8.15527i | −1.01609 | − | 0.318410i | ||||
\(657\) | − | 10.0348i | − | 0.391493i | ||||||
\(658\) | −6.27361 | − | 0.765800i | −0.244571 | − | 0.0298540i | ||||
\(659\) | 29.3184i | 1.14208i | 0.820921 | + | 0.571041i | \(0.193460\pi\) | ||||
−0.820921 | + | 0.571041i | \(0.806540\pi\) | |||||||
\(660\) | −0.746674 | + | 1.70100i | −0.0290643 | + | 0.0662113i | ||||
\(661\) | 26.4813 | − | 15.2890i | 1.03000 | − | 0.594674i | 0.113019 | − | 0.993593i | \(-0.463948\pi\) |
0.916986 | + | 0.398919i | \(0.130615\pi\) | |||||||
\(662\) | 16.6167 | + | 25.4412i | 0.645825 | + | 0.988799i | ||||
\(663\) | 10.8674 | − | 18.8229i | 0.422056 | − | 0.731022i | ||||
\(664\) | −2.55264 | − | 15.3353i | −0.0990617 | − | 0.595125i | ||||
\(665\) | −3.40243 | − | 0.606658i | −0.131941 | − | 0.0235252i | ||||
\(666\) | 0.410860 | + | 7.46523i | 0.0159205 | + | 0.289272i | ||||
\(667\) | 29.0133 | + | 16.7508i | 1.12340 | + | 0.648595i | ||||
\(668\) | 9.61462 | + | 13.0886i | 0.372001 | + | 0.506411i | ||||
\(669\) | −1.22472 | − | 2.12128i | −0.0473504 | − | 0.0820134i | ||||
\(670\) | 4.34812 | + | 2.20114i | 0.167982 | + | 0.0850375i | ||||
\(671\) | −13.0910 | −0.505372 | ||||||||
\(672\) | −8.72117 | − | 12.1631i | −0.336426 | − | 0.469202i | ||||
\(673\) | −6.37827 | −0.245864 | −0.122932 | − | 0.992415i | \(-0.539230\pi\) | ||||
−0.122932 | + | 0.992415i | \(0.539230\pi\) | |||||||
\(674\) | 7.45754 | + | 3.77522i | 0.287254 | + | 0.145416i | ||||
\(675\) | −2.40366 | − | 4.16325i | −0.0925168 | − | 0.160244i | ||||
\(676\) | −2.13992 | − | 2.91312i | −0.0823048 | − | 0.112043i | ||||
\(677\) | −10.8219 | − | 6.24801i | −0.415919 | − | 0.240131i | 0.277411 | − | 0.960751i | \(-0.410524\pi\) |
−0.693330 | + | 0.720621i | \(0.743857\pi\) | |||||||
\(678\) | −1.06011 | − | 19.2619i | −0.0407131 | − | 0.739748i | ||||
\(679\) | 3.79437 | − | 4.50442i | 0.145615 | − | 0.172864i | ||||
\(680\) | −1.15147 | − | 6.91760i | −0.0441569 | − | 0.265278i | ||||
\(681\) | −11.6398 | + | 20.1607i | −0.446038 | + | 0.772561i | ||||
\(682\) | −12.1505 | − | 18.6033i | −0.465268 | − | 0.712355i | ||||
\(683\) | 39.1917 | − | 22.6273i | 1.49963 | − | 0.865811i | 0.499629 | − | 0.866240i | \(-0.333470\pi\) |
1.00000 | 0.000428478i | \(0.000136389\pi\) | ||||||||
\(684\) | −2.39223 | + | 5.44975i | −0.0914693 | + | 0.208376i | ||||
\(685\) | 1.48293i | 0.0566600i | ||||||||
\(686\) | 22.0105 | − | 14.1963i | 0.840367 | − | 0.542019i | ||||
\(687\) | 11.7069i | 0.446647i | ||||||||
\(688\) | −16.7430 | − | 5.24671i | −0.638321 | − | 0.200029i | ||||
\(689\) | −35.6976 | + | 20.6100i | −1.35997 | + | 0.785179i | ||||
\(690\) | 2.47939 | − | 1.61939i | 0.0943888 | − | 0.0616492i | ||||
\(691\) | −5.29654 | + | 9.17388i | −0.201490 | + | 0.348991i | −0.949009 | − | 0.315250i | \(-0.897912\pi\) |
0.747519 | + | 0.664241i | \(0.231245\pi\) | |||||||
\(692\) | −0.310863 | − | 2.81560i | −0.0118172 | − | 0.107033i | ||||
\(693\) | −3.60675 | + | 4.28169i | −0.137009 | + | 0.162648i | ||||
\(694\) | −3.97584 | + | 0.218816i | −0.150921 | + | 0.00830615i | ||||
\(695\) | 6.25279 | + | 3.61005i | 0.237182 | + | 0.136937i | ||||
\(696\) | 15.3382 | − | 12.6216i | 0.581391 | − | 0.478420i | ||||
\(697\) | −19.2554 | − | 33.3514i | −0.729352 | − | 1.26327i | ||||
\(698\) | −6.09402 | + | 12.0381i | −0.230662 | + | 0.455648i | ||||
\(699\) | −8.16853 | −0.308962 | ||||||||
\(700\) | −22.8262 | + | 11.2273i | −0.862749 | + | 0.424351i | ||||
\(701\) | 29.6566 | 1.12011 | 0.560057 | − | 0.828454i | \(-0.310779\pi\) | ||||
0.560057 | + | 0.828454i | \(0.310779\pi\) | |||||||
\(702\) | 2.45787 | − | 4.85526i | 0.0927662 | − | 0.183250i | ||||
\(703\) | −7.86620 | − | 13.6246i | −0.296679 | − | 0.513863i | ||||
\(704\) | 11.1277 | − | 12.7564i | 0.419390 | − | 0.480774i | ||||
\(705\) | −0.642129 | − | 0.370733i | −0.0241840 | − | 0.0139626i | ||||
\(706\) | 14.0772 | − | 0.774757i | 0.529801 | − | 0.0291584i | ||||
\(707\) | 2.00000 | + | 0.356603i | 0.0752177 | + | 0.0134114i | ||||
\(708\) | −16.1383 | + | 1.78178i | −0.606514 | + | 0.0669636i | ||||
\(709\) | 17.8506 | − | 30.9181i | 0.670392 | − | 1.16115i | −0.307401 | − | 0.951580i | \(-0.599459\pi\) |
0.977793 | − | 0.209573i | \(-0.0672074\pi\) | |||||||
\(710\) | 0.608012 | − | 0.397117i | 0.0228183 | − | 0.0149036i | ||||
\(711\) | 13.4958 | − | 7.79180i | 0.506132 | − | 0.292215i | ||||
\(712\) | 10.3439 | − | 27.5934i | 0.387655 | − | 1.03411i | ||||
\(713\) | 35.4214i | 1.32654i | ||||||||
\(714\) | 2.56076 | − | 20.9783i | 0.0958340 | − | 0.785094i | ||||
\(715\) | 3.57417i | 0.133667i | ||||||||
\(716\) | 19.6535 | + | 8.62712i | 0.734485 | + | 0.322411i | ||||
\(717\) | −15.7603 | + | 9.09922i | −0.588579 | + | 0.339816i | ||||
\(718\) | 5.35787 | + | 8.20324i | 0.199954 | + | 0.306142i | ||||
\(719\) | −6.40447 | + | 11.0929i | −0.238846 | + | 0.413694i | −0.960384 | − | 0.278682i | \(-0.910103\pi\) |
0.721537 | + | 0.692376i | \(0.243436\pi\) | |||||||
\(720\) | −0.383048 | − | 1.71356i | −0.0142753 | − | 0.0638605i | ||||
\(721\) | −21.4926 | + | 7.77611i | −0.800427 | + | 0.289598i | ||||
\(722\) | 0.788376 | + | 14.3246i | 0.0293403 | + | 0.533107i | ||||
\(723\) | −25.0409 | − | 14.4574i | −0.931282 | − | 0.537676i | ||||
\(724\) | −1.95720 | + | 1.43772i | −0.0727387 | + | 0.0534325i | ||||
\(725\) | −16.8805 | − | 29.2379i | −0.626927 | − | 1.08587i | ||||
\(726\) | 8.22996 | + | 4.16624i | 0.305442 | + | 0.154624i | ||||
\(727\) | 19.3286 | 0.716860 | 0.358430 | − | 0.933557i | \(-0.383312\pi\) | ||||
0.358430 | + | 0.933557i | \(0.383312\pi\) | |||||||
\(728\) | −24.7708 | − | 14.6839i | −0.918066 | − | 0.544223i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −5.55786 | − | 2.81355i | −0.205706 | − | 0.104134i | ||||
\(731\) | −12.3880 | − | 21.4567i | −0.458188 | − | 0.793604i | ||||
\(732\) | 9.97209 | − | 7.32532i | 0.368579 | − | 0.270752i | ||||
\(733\) | −32.6407 | − | 18.8451i | −1.20561 | − | 0.696061i | −0.243815 | − | 0.969822i | \(-0.578399\pi\) |
−0.961798 | + | 0.273761i | \(0.911732\pi\) | |||||||
\(734\) | 1.39147 | + | 25.2828i | 0.0513602 | + | 0.933204i | ||||
\(735\) | 3.02807 | − | 0.521986i | 0.111692 | − | 0.0192537i | ||||
\(736\) | −25.9721 | + | 7.32532i | −0.957344 | + | 0.270015i | ||||
\(737\) | −8.30580 | + | 14.3861i | −0.305948 | + | 0.529917i | ||||
\(738\) | −5.27275 | − | 8.07291i | −0.194092 | − | 0.297168i | ||||
\(739\) | −12.0072 | + | 6.93237i | −0.441693 | + | 0.255011i | −0.704315 | − | 0.709887i | \(-0.748746\pi\) |
0.262623 | + | 0.964899i | \(0.415413\pi\) | |||||||
\(740\) | 4.24990 | + | 1.86554i | 0.156229 | + | 0.0685787i | ||||
\(741\) | 11.4511i | 0.420667i | ||||||||
\(742\) | −24.0985 | + | 32.0268i | −0.884682 | + | 1.17574i | ||||
\(743\) | 18.9927i | 0.696773i | 0.937351 | + | 0.348387i | \(0.113270\pi\) | ||||
−0.937351 | + | 0.348387i | \(0.886730\pi\) | |||||||
\(744\) | 19.6655 | + | 7.37199i | 0.720973 | + | 0.270270i | ||||
\(745\) | −2.46315 | + | 1.42210i | −0.0902430 | + | 0.0521018i | ||||
\(746\) | −17.1381 | + | 11.1936i | −0.627471 | + | 0.409827i | ||||
\(747\) | 2.74822 | − | 4.76007i | 0.100552 | − | 0.174162i | ||||
\(748\) | 23.7590 | − | 2.62317i | 0.868715 | − | 0.0959125i | ||||
\(749\) | 2.29026 | + | 6.33010i | 0.0836841 | + | 0.231297i | ||||
\(750\) | −6.07904 | + | 0.334569i | −0.221975 | + | 0.0122167i | ||||
\(751\) | 25.2868 | + | 14.5993i | 0.922728 | + | 0.532737i | 0.884504 | − | 0.466532i | \(-0.154497\pi\) |
0.0382233 | + | 0.999269i | \(0.487830\pi\) | |||||||
\(752\) | 4.57341 | + | 4.97342i | 0.166775 | + | 0.181362i | ||||
\(753\) | 10.1793 | + | 17.6311i | 0.370954 | + | 0.642512i | ||||
\(754\) | 17.2612 | − | 34.0977i | 0.628617 | − | 1.24177i | ||||
\(755\) | −3.41036 | −0.124116 | ||||||||
\(756\) | 0.351547 | − | 5.27981i | 0.0127856 | − | 0.192025i | ||||
\(757\) | −10.8022 | −0.392614 | −0.196307 | − | 0.980542i | \(-0.562895\pi\) | ||||
−0.196307 | + | 0.980542i | \(0.562895\pi\) | |||||||
\(758\) | −13.7947 | + | 27.2499i | −0.501045 | + | 0.989762i | ||||
\(759\) | 5.04701 | + | 8.74167i | 0.183195 | + | 0.317303i | ||||
\(760\) | 2.34767 | + | 2.85296i | 0.0851589 | + | 0.103488i | ||||
\(761\) | −0.203165 | − | 0.117298i | −0.00736474 | − | 0.00425204i | 0.496313 | − | 0.868144i | \(-0.334687\pi\) |
−0.503678 | + | 0.863892i | \(0.668020\pi\) | |||||||
\(762\) | −4.96929 | + | 0.273492i | −0.180018 | + | 0.00990758i | ||||
\(763\) | 3.16143 | − | 17.7308i | 0.114451 | − | 0.641899i | ||||
\(764\) | 1.43817 | + | 13.0261i | 0.0520313 | + | 0.471267i | ||||
\(765\) | 1.23970 | − | 2.14722i | 0.0448213 | − | 0.0776328i | ||||
\(766\) | −0.753448 | + | 0.492107i | −0.0272232 | + | 0.0177806i | ||||
\(767\) | −27.0537 | + | 15.6195i | −0.976854 | + | 0.563987i | ||||
\(768\) | −1.33845 | + | 15.9439i | −0.0482971 | + | 0.575327i | ||||
\(769\) | − | 34.8540i | − | 1.25687i | −0.777863 | − | 0.628434i | \(-0.783696\pi\) | ||
0.777863 | − | 0.628434i | \(-0.216304\pi\) | |||||||
\(770\) | 1.36020 | + | 3.19814i | 0.0490181 | + | 0.115253i | ||||
\(771\) | − | 21.2869i | − | 0.766631i | ||||||
\(772\) | −2.60165 | + | 5.92683i | −0.0936355 | + | 0.213311i | ||||
\(773\) | 17.0362 | − | 9.83583i | 0.612748 | − | 0.353770i | −0.161292 | − | 0.986907i | \(-0.551566\pi\) |
0.774040 | + | 0.633137i | \(0.218233\pi\) | |||||||
\(774\) | −3.39223 | − | 5.19372i | −0.121931 | − | 0.186685i | ||||
\(775\) | 17.8478 | − | 30.9133i | 0.641113 | − | 1.11044i | ||||
\(776\) | −6.21076 | + | 1.03381i | −0.222953 | + | 0.0371118i | ||||
\(777\) | 10.6977 | + | 9.01136i | 0.383777 | + | 0.323281i | ||||
\(778\) | 0.0791996 | + | 1.43904i | 0.00283944 | + | 0.0515920i | ||||
\(779\) | 17.5714 | + | 10.1448i | 0.629560 | + | 0.363476i | ||||
\(780\) | −2.00000 | − | 2.72263i | −0.0716115 | − | 0.0974860i | ||||
\(781\) | 1.23766 | + | 2.14369i | 0.0442870 | + | 0.0767073i | ||||
\(782\) | −33.9974 | − | 17.2104i | −1.21574 | − | 0.615444i | ||||
\(783\) | 7.02285 | 0.250976 | ||||||||
\(784\) | −27.7528 | − | 3.71221i | −0.991172 | − | 0.132579i | ||||
\(785\) | 3.71533 | 0.132606 | ||||||||
\(786\) | 24.7514 | + | 12.5298i | 0.882852 | + | 0.446925i | ||||
\(787\) | −19.4781 | − | 33.7370i | −0.694319 | − | 1.20260i | −0.970410 | − | 0.241464i | \(-0.922373\pi\) |
0.276091 | − | 0.961131i | \(-0.410961\pi\) | |||||||
\(788\) | −22.7991 | − | 31.0369i | −0.812186 | − | 1.10564i | ||||
\(789\) | 17.4760 | + | 10.0898i | 0.622164 | + | 0.359206i | ||||
\(790\) | −0.531622 | − | 9.65946i | −0.0189143 | − | 0.343668i | ||||
\(791\) | −27.6023 | − | 23.2512i | −0.981423 | − | 0.826718i | ||||
\(792\) | 5.90366 | − | 0.982694i | 0.209777 | − | 0.0349185i | ||||
\(793\) | 11.9034 | − | 20.6172i | 0.422701 | − | 0.732139i | ||||
\(794\) | 23.0419 | + | 35.2787i | 0.817728 | + | 1.25199i | ||||
\(795\) | −4.07218 | + | 2.35108i | −0.144426 | + | 0.0833841i | ||||
\(796\) | −6.93087 | + | 15.7892i | −0.245658 | + | 0.559634i | ||||
\(797\) | − | 20.4557i | − | 0.724579i | −0.932066 | − | 0.362289i | \(-0.881995\pi\) | ||
0.932066 | − | 0.362289i | \(-0.118005\pi\) | |||||||
\(798\) | 4.35787 | + | 10.2464i | 0.154267 | + | 0.362717i | ||||
\(799\) | 9.54077i | 0.337528i | ||||||||
\(800\) | 26.3576 | + | 6.69355i | 0.931883 | + | 0.236653i | ||||
\(801\) | 9.02285 | − | 5.20934i | 0.318807 | − | 0.184063i | ||||
\(802\) | 8.03991 | − | 5.25119i | 0.283899 | − | 0.185426i | ||||
\(803\) | 10.6167 | − | 18.3886i | 0.374654 | − | 0.648919i | ||||
\(804\) | −1.72305 | − | 15.6063i | −0.0607672 | − | 0.550391i | ||||
\(805\) | 0.972496 | − | 5.45423i | 0.0342760 | − | 0.192236i | ||||
\(806\) | 40.3468 | − | 2.22055i | 1.42116 | − | 0.0782154i | ||||
\(807\) | −14.1764 | − | 8.18475i | −0.499033 | − | 0.288117i | ||||
\(808\) | −1.37999 | − | 1.67701i | −0.0485480 | − | 0.0589972i | ||||
\(809\) | 24.4650 | + | 42.3746i | 0.860143 | + | 1.48981i | 0.871790 | + | 0.489879i | \(0.162959\pi\) |
−0.0116472 | + | 0.999932i | \(0.503708\pi\) | |||||||
\(810\) | 0.280380 | − | 0.553861i | 0.00985155 | − | 0.0194607i | ||||
\(811\) | −51.9424 | −1.82394 | −0.911972 | − | 0.410253i | \(-0.865440\pi\) | ||||
−0.911972 | + | 0.410253i | \(0.865440\pi\) | |||||||
\(812\) | 2.46886 | − | 37.0793i | 0.0866401 | − | 1.30123i | ||||
\(813\) | −13.4539 | −0.471850 | ||||||||
\(814\) | −7.14523 | + | 14.1146i | −0.250440 | + | 0.494718i | ||||
\(815\) | −1.52640 | − | 2.64380i | −0.0534674 | − | 0.0926083i | ||||
\(816\) | −16.6306 | + | 15.2930i | −0.582188 | + | 0.535363i | ||||
\(817\) | 11.3046 | + | 6.52670i | 0.395497 | + | 0.228340i | ||||
\(818\) | 5.24335 | − | 0.288575i | 0.183329 | − | 0.0100898i | ||||
\(819\) | −3.46376 | − | 9.57359i | −0.121034 | − | 0.334528i | ||||
\(820\) | −5.94965 | + | 0.656884i | −0.207771 | + | 0.0229394i | ||||
\(821\) | −15.7322 | + | 27.2490i | −0.549059 | + | 0.950998i | 0.449281 | + | 0.893391i | \(0.351680\pi\) |
−0.998339 | + | 0.0576069i | \(0.981653\pi\) | |||||||
\(822\) | 4.00000 | − | 2.61256i | 0.139516 | − | 0.0911236i | ||||
\(823\) | −35.9504 | + | 20.7560i | −1.25315 | + | 0.723507i | −0.971734 | − | 0.236078i | \(-0.924138\pi\) |
−0.281417 | + | 0.959586i | \(0.590804\pi\) | |||||||
\(824\) | 22.8794 | + | 8.57678i | 0.797042 | + | 0.298786i | ||||
\(825\) | − | 10.1722i | − | 0.354149i | ||||||
\(826\) | −18.2632 | + | 24.2718i | −0.635459 | + | 0.844524i | ||||
\(827\) | 38.6850i | 1.34521i | 0.740003 | + | 0.672604i | \(0.234824\pi\) | ||||
−0.740003 | + | 0.672604i | \(0.765176\pi\) | |||||||
\(828\) | −8.73615 | − | 3.83484i | −0.303602 | − | 0.133270i | ||||
\(829\) | 8.94508 | − | 5.16444i | 0.310675 | − | 0.179369i | −0.336553 | − | 0.941664i | \(-0.609261\pi\) |
0.647229 | + | 0.762296i | \(0.275928\pi\) | |||||||
\(830\) | −1.86587 | − | 2.85676i | −0.0647652 | − | 0.0991597i | ||||
\(831\) | −1.40366 | + | 2.43120i | −0.0486923 | + | 0.0843375i | ||||
\(832\) | 9.97209 | + | 29.1243i | 0.345720 | + | 1.00970i | ||||
\(833\) | −25.2985 | − | 30.3850i | −0.876541 | − | 1.05278i | ||||
\(834\) | −1.27828 | − | 23.2260i | −0.0442631 | − | 0.804251i | ||||
\(835\) | 3.08692 | + | 1.78223i | 0.106827 | + | 0.0616767i | ||||
\(836\) | −10.1495 | + | 7.45565i | −0.351028 | + | 0.257859i | ||||
\(837\) | 3.71264 | + | 6.43048i | 0.128328 | + | 0.222270i | ||||
\(838\) | 26.1287 | + | 13.2271i | 0.902599 | + | 0.456921i | ||||
\(839\) | −10.4794 | −0.361789 | −0.180894 | − | 0.983503i | \(-0.557899\pi\) | ||||
−0.180894 | + | 0.983503i | \(0.557899\pi\) | |||||||
\(840\) | −2.82572 | − | 1.67506i | −0.0974964 | − | 0.0577952i | ||||
\(841\) | 20.3204 | 0.700704 | ||||||||
\(842\) | 19.7564 | + | 10.0012i | 0.680849 | + | 0.344665i | ||||
\(843\) | 12.7251 | + | 22.0405i | 0.438275 | + | 0.759115i | ||||
\(844\) | −9.82885 | + | 7.22010i | −0.338323 | + | 0.248526i | ||||
\(845\) | −0.687054 | − | 0.396671i | −0.0236354 | − | 0.0136459i | ||||
\(846\) | 0.131272 | + | 2.38519i | 0.00451324 | + | 0.0820046i | ||||
\(847\) | 16.2278 | − | 5.87129i | 0.557595 | − | 0.201740i | ||||
\(848\) | 41.8159 | − | 9.34751i | 1.43596 | − | 0.320995i | ||||
\(849\) | −2.36975 | + | 4.10452i | −0.0813295 | + | 0.140867i | ||||
\(850\) | 20.9987 | + | 32.1503i | 0.720249 | + | 1.10275i | ||||
\(851\) | 21.8408 | − | 12.6098i | 0.748693 | − | 0.432258i | ||||
\(852\) | −2.14233 | − | 0.940403i | −0.0733952 | − | 0.0322177i | ||||
\(853\) | − | 25.5157i | − | 0.873642i | −0.899548 | − | 0.436821i | \(-0.856104\pi\) | ||
0.899548 | − | 0.436821i | \(-0.143896\pi\) | |||||||
\(854\) | 2.80487 | − | 22.9781i | 0.0959806 | − | 0.786294i | ||||
\(855\) | 1.30628i | 0.0446739i | ||||||||
\(856\) | 2.52607 | − | 6.73855i | 0.0863394 | − | 0.230319i | ||||
\(857\) | −9.99828 | + | 5.77251i | −0.341535 | + | 0.197185i | −0.660951 | − | 0.750429i | \(-0.729847\pi\) |
0.319416 | + | 0.947615i | \(0.396513\pi\) | |||||||
\(858\) | 9.64082 | − | 6.29681i | 0.329132 | − | 0.214970i | ||||
\(859\) | 16.4552 | − | 28.5013i | 0.561445 | − | 0.972452i | −0.435925 | − | 0.899983i | \(-0.643579\pi\) |
0.997371 | − | 0.0724689i | \(-0.0230878\pi\) | |||||||
\(860\) | −3.82772 | + | 0.422608i | −0.130524 | + | 0.0144108i | ||||
\(861\) | −17.7590 | − | 3.16645i | −0.605225 | − | 0.107912i | ||||
\(862\) | 16.7492 | − | 0.921819i | 0.570481 | − | 0.0313973i | ||||
\(863\) | −49.6075 | − | 28.6409i | −1.68866 | − | 0.974948i | −0.955546 | − | 0.294842i | \(-0.904733\pi\) |
−0.733114 | − | 0.680106i | \(-0.761934\pi\) | |||||||
\(864\) | −3.94724 | + | 4.05208i | −0.134288 | + | 0.137854i | ||||
\(865\) | −0.310863 | − | 0.538430i | −0.0105696 | − | 0.0183072i | ||||
\(866\) | −10.8118 | + | 21.3575i | −0.367399 | + | 0.725758i | ||||
\(867\) | −14.9034 | −0.506145 | ||||||||
\(868\) | 35.2569 | − | 17.3414i | 1.19670 | − | 0.588606i | ||||
\(869\) | 32.9745 | 1.11858 | ||||||||
\(870\) | 1.96907 | − | 3.88968i | 0.0667576 | − | 0.131873i | ||||
\(871\) | −15.1046 | − | 26.1619i | −0.511799 | − | 0.886462i | ||||
\(872\) | −14.8674 | + | 12.2342i | −0.503474 | + | 0.414303i | ||||
\(873\) | −1.92782 | − | 1.11302i | −0.0652467 | − | 0.0376702i | ||||
\(874\) | 20.0457 | − | 1.10324i | 0.678056 | − | 0.0373178i | ||||
\(875\) | −7.33808 | + | 8.71126i | −0.248072 | + | 0.294494i | ||||
\(876\) | 2.20244 | + | 19.9483i | 0.0744135 | + | 0.673991i | ||||
\(877\) | −17.0215 | + | 29.4822i | −0.574777 | + | 0.995542i | 0.421289 | + | 0.906926i | \(0.361578\pi\) |
−0.996066 | + | 0.0886159i | \(0.971756\pi\) | |||||||
\(878\) | −2.78581 | + | 1.81952i | −0.0940165 | + | 0.0614060i | ||||
\(879\) | 2.79568 | − | 1.61409i | 0.0942960 | − | 0.0544418i | ||||
\(880\) | 1.11099 | − | 3.54533i | 0.0374515 | − | 0.119513i | ||||
\(881\) | 23.4638i | 0.790514i | 0.918571 | + | 0.395257i | \(0.129344\pi\) | ||||
−0.918571 | + | 0.395257i | \(0.870656\pi\) | |||||||
\(882\) | −6.74269 | − | 7.24818i | −0.227038 | − | 0.244059i | ||||
\(883\) | − | 8.14468i | − | 0.274090i | −0.990565 | − | 0.137045i | \(-0.956239\pi\) | ||
0.990565 | − | 0.137045i | \(-0.0437606\pi\) | |||||||
\(884\) | −17.4723 | + | 39.8037i | −0.587657 | + | 1.33874i | ||||
\(885\) | −3.08614 | + | 1.78178i | −0.103740 | + | 0.0598940i | ||||
\(886\) | −1.24039 | − | 1.89911i | −0.0416716 | − | 0.0638019i | ||||
\(887\) | 14.6109 | − | 25.3068i | 0.490585 | − | 0.849718i | −0.509356 | − | 0.860556i | \(-0.670116\pi\) |
0.999941 | + | 0.0108376i | \(0.00344978\pi\) | |||||||
\(888\) | −2.45523 | − | 14.7501i | −0.0823922 | − | 0.494981i | ||||
\(889\) | −5.99849 | + | 7.12099i | −0.201183 | + | 0.238830i | ||||
\(890\) | −0.355425 | − | 6.45800i | −0.0119139 | − | 0.216473i | ||||
\(891\) | 1.83249 | + | 1.05799i | 0.0613907 | + | 0.0354439i | ||||
\(892\) | 2.90023 | + | 3.94813i | 0.0971068 | + | 0.132193i | ||||
\(893\) | −2.51330 | − | 4.35317i | −0.0841044 | − | 0.145673i | ||||
\(894\) | 8.17539 | + | 4.13861i | 0.273426 | + | 0.138416i | ||||
\(895\) | 4.71085 | 0.157466 | ||||||||
\(896\) | 20.0066 | + | 22.2652i | 0.668372 | + | 0.743827i | ||||
\(897\) | −18.3566 | −0.612908 | ||||||||
\(898\) | 1.70599 | + | 0.863620i | 0.0569296 | + | 0.0288194i | ||||
\(899\) | 26.0733 | + | 45.1603i | 0.869594 | + | 1.50618i | ||||
\(900\) | 5.69203 | + | 7.74866i | 0.189734 | + | 0.258289i | ||||
\(901\) | 52.3985 | + | 30.2523i | 1.74565 | + | 1.00785i | ||||
\(902\) | −1.12120 | − | 20.3720i | −0.0373320 | − | 0.678314i | ||||
\(903\) | −11.4253 | − | 2.03714i | −0.380210 | − | 0.0677919i | ||||
\(904\) | 6.33502 | + | 38.0584i | 0.210700 | + | 1.26580i | ||||
\(905\) | −0.266506 | + | 0.461602i | −0.00885896 | + | 0.0153442i | ||||
\(906\) | 6.00820 | + | 9.19894i | 0.199609 | + | 0.305614i | ||||
\(907\) | −48.5997 | + | 28.0591i | −1.61373 | + | 0.931686i | −0.625231 | + | 0.780440i | \(0.714995\pi\) |
−0.988496 | + | 0.151246i | \(0.951671\pi\) | |||||||
\(908\) | 18.7141 | − | 42.6326i | 0.621049 | − | 1.41481i | ||||
\(909\) | − | 0.767851i | − | 0.0254680i | ||||||
\(910\) | −6.27361 | − | 0.765800i | −0.207968 | − | 0.0253860i | ||||
\(911\) | − | 43.1536i | − | 1.42974i | −0.699256 | − | 0.714871i | \(-0.746485\pi\) | ||
0.699256 | − | 0.714871i | \(-0.253515\pi\) | |||||||
\(912\) | 3.55945 | − | 11.3587i | 0.117865 | − | 0.376125i | ||||
\(913\) | 10.0722 | − | 5.81518i | 0.333341 | − | 0.192454i | ||||
\(914\) | −26.2226 | + | 17.1271i | −0.867368 | + | 0.566513i | ||||
\(915\) | 1.35787 | − | 2.35190i | 0.0448898 | − | 0.0777515i | ||||
\(916\) | −2.56945 | − | 23.2724i | −0.0848969 | − | 0.768943i | ||||
\(917\) | 48.8047 | − | 17.6577i | 1.61167 | − | 0.583110i | ||||
\(918\) | −7.97584 | + | 0.438962i | −0.263242 | + | 0.0144879i | ||||
\(919\) | 33.3617 | + | 19.2614i | 1.10050 | + | 0.635375i | 0.936353 | − | 0.351060i | \(-0.114179\pi\) |
0.164149 | + | 0.986435i | \(0.447512\pi\) | |||||||
\(920\) | −4.57341 | + | 3.76340i | −0.150781 | + | 0.124076i | ||||
\(921\) | −2.72762 | − | 4.72437i | −0.0898780 | − | 0.155673i | ||||
\(922\) | 19.6629 | − | 38.8420i | 0.647565 | − | 1.27919i | ||||
\(923\) | −4.50151 | −0.148169 | ||||||||
\(924\) | 6.23018 | − | 9.30327i | 0.204958 | − | 0.306055i | ||||
\(925\) | −25.4148 | −0.835635 | ||||||||
\(926\) | 8.82219 | − | 17.4273i | 0.289915 | − | 0.572696i | ||||
\(927\) | 4.31939 | + | 7.48141i | 0.141867 | + | 0.245722i | ||||
\(928\) | −27.7208 | + | 28.4571i | −0.909981 | + | 0.934151i | ||||
\(929\) | −41.3034 | − | 23.8465i | −1.35512 | − | 0.782379i | −0.366159 | − | 0.930552i | \(-0.619327\pi\) |
−0.988961 | + | 0.148173i | \(0.952661\pi\) | |||||||
\(930\) | 4.60255 | − | 0.253308i | 0.150923 | − | 0.00830629i | ||||
\(931\) | 19.5472 | + | 7.19947i | 0.640634 | + | 0.235953i | ||||
\(932\) | 16.2384 | − | 1.79284i | 0.531906 | − | 0.0587263i | ||||
\(933\) | 15.2625 | − | 26.4355i | 0.499673 | − | 0.865460i | ||||
\(934\) | −20.1601 | + | 13.1674i | −0.659659 | + | 0.430850i | ||||
\(935\) | 4.54346 | − | 2.62317i | 0.148587 | − | 0.0857867i | ||||
\(936\) | −3.82041 | + | 10.1913i | −0.124874 | + | 0.333114i | ||||
\(937\) | 6.18932i | 0.202196i | 0.994876 | + | 0.101098i | \(0.0322356\pi\) | ||||
−0.994876 | + | 0.101098i | \(0.967764\pi\) | |||||||
\(938\) | −23.4717 | − | 17.6612i | −0.766378 | − | 0.576658i | ||||
\(939\) | 18.8324i | 0.614573i | ||||||||
\(940\) | 1.35787 | + | 0.596054i | 0.0442889 | + | 0.0194411i | ||||
\(941\) | −6.33052 | + | 3.65493i | −0.206369 | + | 0.119147i | −0.599623 | − | 0.800283i | \(-0.704683\pi\) |
0.393254 | + | 0.919430i | \(0.371349\pi\) | |||||||
\(942\) | −6.54549 | − | 10.0216i | −0.213264 | − | 0.326520i | ||||
\(943\) | −16.2625 | + | 28.1676i | −0.529581 | + | 0.917262i | ||||
\(944\) | 31.6906 | − | 7.08409i | 1.03144 | − | 0.230568i | ||||
\(945\) | −0.395127 | − | 1.09210i | −0.0128535 | − | 0.0355261i | ||||
\(946\) | −0.721329 | − | 13.1064i | −0.0234524 | − | 0.426125i | ||||
\(947\) | 13.1805 | + | 7.60978i | 0.428309 | + | 0.247285i | 0.698626 | − | 0.715487i | \(-0.253795\pi\) |
−0.270317 | + | 0.962771i | \(0.587128\pi\) | |||||||
\(948\) | −25.1184 | + | 18.4516i | −0.815808 | + | 0.599279i | ||||
\(949\) | 19.3070 | + | 33.4407i | 0.626732 | + | 1.08553i | ||||
\(950\) | −18.0504 | − | 9.13761i | −0.585631 | − | 0.296463i | ||||
\(951\) | 17.1652 | 0.556619 | ||||||||
\(952\) | −0.486248 | + | 42.2653i | −0.0157594 | + | 1.36982i | ||||
\(953\) | 17.5899 | 0.569792 | 0.284896 | − | 0.958558i | \(-0.408041\pi\) | ||||
0.284896 | + | 0.958558i | \(0.408041\pi\) | |||||||
\(954\) | 13.5159 | + | 6.84212i | 0.437592 | + | 0.221522i | ||||
\(955\) | 1.43817 | + | 2.49099i | 0.0465382 | + | 0.0806066i | ||||
\(956\) | 29.3331 | − | 21.5476i | 0.948701 | − | 0.696899i | ||||
\(957\) | 12.8693 | + | 7.43009i | 0.416005 | + | 0.240181i | ||||
\(958\) | −2.46985 | − | 44.8765i | −0.0797971 | − | 1.44990i | ||||
\(959\) | 1.56893 | − | 8.79930i | 0.0506633 | − | 0.284144i | ||||
\(960\) | 1.13756 | + | 3.32234i | 0.0367146 | + | 0.107228i | ||||
\(961\) | −12.0674 | + | 20.9014i | −0.389271 | + | 0.674238i | ||||
\(962\) | −15.7324 | − | 24.0873i | −0.507233 | − | 0.776606i | ||||
\(963\) | 2.20346 | − | 1.27217i | 0.0710054 | − | 0.0409950i | ||||
\(964\) | 52.9525 | + | 23.2441i | 1.70548 | + | 0.748643i | ||||
\(965\) | 1.42063i | 0.0457318i | ||||||||
\(966\) | −16.4253 | + | 6.98583i | −0.528475 | + | 0.224765i | ||||
\(967\) | 15.0905i | 0.485279i | 0.970117 | + | 0.242640i | \(0.0780132\pi\) | ||||
−0.970117 | + | 0.242640i | \(0.921987\pi\) | |||||||
\(968\) | −17.2749 | − | 6.47583i | −0.555237 | − | 0.208141i | ||||
\(969\) | 14.5566 | − | 8.40423i | 0.467624 | − | 0.269983i | ||||
\(970\) | −1.15698 | + | 0.755672i | −0.0371485 | + | 0.0242632i | ||||
\(971\) | 22.4660 | − | 38.9123i | 0.720968 | − | 1.24875i | −0.239644 | − | 0.970861i | \(-0.577031\pi\) |
0.960612 | − | 0.277893i | \(-0.0896360\pi\) | |||||||
\(972\) | −1.98792 | + | 0.219481i | −0.0637626 | + | 0.00703985i | ||||
\(973\) | −33.2829 | − | 28.0364i | −1.06700 | − | 0.898805i | ||||
\(974\) | −8.14757 | + | 0.448413i | −0.261065 | + | 0.0143681i | ||||
\(975\) | 16.0203 | + | 9.24933i | 0.513061 | + | 0.296216i | ||||
\(976\) | −18.2159 | + | 16.7508i | −0.583078 | + | 0.536181i | ||||
\(977\) | −6.04122 | − | 10.4637i | −0.193276 | − | 0.334763i | 0.753058 | − | 0.657954i | \(-0.228578\pi\) |
−0.946334 | + | 0.323191i | \(0.895245\pi\) | |||||||
\(978\) | −4.44214 | + | 8.77496i | −0.142044 | + | 0.280592i | ||||
\(979\) | 22.0457 | 0.704584 | ||||||||
\(980\) | −5.90500 | + | 1.70227i | −0.188628 | + | 0.0543770i | ||||
\(981\) | −6.80731 | −0.217341 | ||||||||
\(982\) | 14.4637 | − | 28.5715i | 0.461556 | − | 0.911755i | ||||
\(983\) | −8.67473 | − | 15.0251i | −0.276681 | − | 0.479225i | 0.693877 | − | 0.720094i | \(-0.255901\pi\) |
−0.970558 | + | 0.240868i | \(0.922568\pi\) | |||||||
\(984\) | 12.2537 | + | 14.8910i | 0.390632 | + | 0.474709i | ||||
\(985\) | −7.32000 | − | 4.22620i | −0.233235 | − | 0.134658i | ||||
\(986\) | −56.0131 | + | 3.08276i | −1.78382 | + | 0.0981752i | ||||
\(987\) | 3.41798 | + | 2.87919i | 0.108795 | + | 0.0916456i | ||||
\(988\) | −2.51330 | − | 22.7639i | −0.0799588 | − | 0.724216i | ||||
\(989\) | −10.4625 | + | 18.1216i | −0.332689 | + | 0.576235i | ||||
\(990\) | 1.09977 | − | 0.718306i | 0.0349530 | − | 0.0228293i | ||||
\(991\) | 42.5136 | − | 24.5452i | 1.35049 | − | 0.779705i | 0.362171 | − | 0.932112i | \(-0.382036\pi\) |
0.988318 | + | 0.152407i | \(0.0487025\pi\) | |||||||
\(992\) | −40.7115 | − | 10.3387i | −1.29259 | − | 0.328255i | ||||
\(993\) | − | 21.4868i | − | 0.681864i | ||||||
\(994\) | −4.02791 | + | 1.71311i | −0.127758 | + | 0.0543365i | ||||
\(995\) | 3.78461i | 0.119980i | ||||||||
\(996\) | −4.41851 | + | 10.0658i | −0.140006 | + | 0.318948i | ||||
\(997\) | 7.88043 | − | 4.54977i | 0.249576 | − | 0.144093i | −0.369994 | − | 0.929034i | \(-0.620640\pi\) |
0.619570 | + | 0.784941i | \(0.287307\pi\) | |||||||
\(998\) | −15.0362 | − | 23.0214i | −0.475963 | − | 0.728730i | ||||
\(999\) | 2.64335 | − | 4.57842i | 0.0836320 | − | 0.144855i |
(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 | 84.2.o.a.19.4 | ✓ | 8 | |
3.2 | odd | 2 | 252.2.bf.g.19.1 | 8 | |||
4.3 | odd | 2 | 84.2.o.b.19.1 | yes | 8 | ||
7.2 | even | 3 | 588.2.b.b.391.5 | 8 | |||
7.3 | odd | 6 | 84.2.o.b.31.1 | yes | 8 | ||
7.4 | even | 3 | 588.2.o.b.31.1 | 8 | |||
7.5 | odd | 6 | 588.2.b.a.391.5 | 8 | |||
7.6 | odd | 2 | 588.2.o.d.19.4 | 8 | |||
8.3 | odd | 2 | 1344.2.bl.i.1279.3 | 8 | |||
8.5 | even | 2 | 1344.2.bl.j.1279.3 | 8 | |||
12.11 | even | 2 | 252.2.bf.f.19.4 | 8 | |||
21.2 | odd | 6 | 1764.2.b.i.1567.4 | 8 | |||
21.5 | even | 6 | 1764.2.b.j.1567.4 | 8 | |||
21.17 | even | 6 | 252.2.bf.f.199.4 | 8 | |||
28.3 | even | 6 | inner | 84.2.o.a.31.4 | yes | 8 | |
28.11 | odd | 6 | 588.2.o.d.31.4 | 8 | |||
28.19 | even | 6 | 588.2.b.b.391.6 | 8 | |||
28.23 | odd | 6 | 588.2.b.a.391.6 | 8 | |||
28.27 | even | 2 | 588.2.o.b.19.1 | 8 | |||
56.3 | even | 6 | 1344.2.bl.j.703.3 | 8 | |||
56.45 | odd | 6 | 1344.2.bl.i.703.3 | 8 | |||
84.23 | even | 6 | 1764.2.b.j.1567.3 | 8 | |||
84.47 | odd | 6 | 1764.2.b.i.1567.3 | 8 | |||
84.59 | odd | 6 | 252.2.bf.g.199.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.2.o.a.19.4 | ✓ | 8 | 1.1 | even | 1 | trivial | |
84.2.o.a.31.4 | yes | 8 | 28.3 | even | 6 | inner | |
84.2.o.b.19.1 | yes | 8 | 4.3 | odd | 2 | ||
84.2.o.b.31.1 | yes | 8 | 7.3 | odd | 6 | ||
252.2.bf.f.19.4 | 8 | 12.11 | even | 2 | |||
252.2.bf.f.199.4 | 8 | 21.17 | even | 6 | |||
252.2.bf.g.19.1 | 8 | 3.2 | odd | 2 | |||
252.2.bf.g.199.1 | 8 | 84.59 | odd | 6 | |||
588.2.b.a.391.5 | 8 | 7.5 | odd | 6 | |||
588.2.b.a.391.6 | 8 | 28.23 | odd | 6 | |||
588.2.b.b.391.5 | 8 | 7.2 | even | 3 | |||
588.2.b.b.391.6 | 8 | 28.19 | even | 6 | |||
588.2.o.b.19.1 | 8 | 28.27 | even | 2 | |||
588.2.o.b.31.1 | 8 | 7.4 | even | 3 | |||
588.2.o.d.19.4 | 8 | 7.6 | odd | 2 | |||
588.2.o.d.31.4 | 8 | 28.11 | odd | 6 | |||
1344.2.bl.i.703.3 | 8 | 56.45 | odd | 6 | |||
1344.2.bl.i.1279.3 | 8 | 8.3 | odd | 2 | |||
1344.2.bl.j.703.3 | 8 | 56.3 | even | 6 | |||
1344.2.bl.j.1279.3 | 8 | 8.5 | even | 2 | |||
1764.2.b.i.1567.3 | 8 | 84.47 | odd | 6 | |||
1764.2.b.i.1567.4 | 8 | 21.2 | odd | 6 | |||
1764.2.b.j.1567.3 | 8 | 84.23 | even | 6 | |||
1764.2.b.j.1567.4 | 8 | 21.5 | even | 6 |