Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.16 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.16 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.489086 | + | 1.24617i | −0.345836 | + | 0.881176i | 0.647087 | + | 0.762416i | \(0.275987\pi\) |
−0.992923 | + | 0.118760i | \(0.962108\pi\) | |||||||
\(3\) | −0.370108 | − | 1.69205i | −0.213682 | − | 0.976903i | ||||
\(4\) | 0.152367 | + | 0.141376i | 0.0761835 | + | 0.0706880i | ||||
\(5\) | −1.59932 | + | 0.770194i | −0.715239 | + | 0.344441i | −0.755860 | − | 0.654734i | \(-0.772781\pi\) |
0.0406204 | + | 0.999175i | \(0.487067\pi\) | |||||||
\(6\) | 2.28959 | + | 0.366338i | 0.934723 | + | 0.149557i | ||||
\(7\) | 1.91094 | + | 1.82984i | 0.722268 | + | 0.691613i | ||||
\(8\) | −2.66297 | + | 1.28242i | −0.941503 | + | 0.453404i | ||||
\(9\) | −2.72604 | + | 1.25248i | −0.908680 | + | 0.417493i | ||||
\(10\) | −0.177586 | − | 2.36972i | −0.0561577 | − | 0.749372i | ||||
\(11\) | −1.93844 | − | 2.43073i | −0.584462 | − | 0.732892i | 0.398405 | − | 0.917210i | \(-0.369564\pi\) |
−0.982867 | + | 0.184318i | \(0.940992\pi\) | |||||||
\(12\) | 0.182822 | − | 0.310136i | 0.0527763 | − | 0.0895287i | ||||
\(13\) | −0.697617 | + | 1.77750i | −0.193484 | + | 0.492989i | −0.994387 | − | 0.105805i | \(-0.966258\pi\) |
0.800903 | + | 0.598794i | \(0.204353\pi\) | |||||||
\(14\) | −3.21490 | + | 1.48641i | −0.859219 | + | 0.397261i | ||||
\(15\) | 1.89513 | + | 2.42108i | 0.489319 | + | 0.625119i | ||||
\(16\) | −0.264626 | − | 3.53119i | −0.0661565 | − | 0.882797i | ||||
\(17\) | 1.30790 | − | 1.21355i | 0.317212 | − | 0.294329i | −0.505455 | − | 0.862853i | \(-0.668676\pi\) |
0.822667 | + | 0.568523i | \(0.192485\pi\) | |||||||
\(18\) | −0.227535 | − | 4.00968i | −0.0536305 | − | 0.945091i | ||||
\(19\) | −2.00146 | + | 3.46663i | −0.459167 | + | 0.795301i | −0.998917 | − | 0.0465247i | \(-0.985185\pi\) |
0.539750 | + | 0.841825i | \(0.318519\pi\) | |||||||
\(20\) | −0.352571 | − | 0.108754i | −0.0788373 | − | 0.0243181i | ||||
\(21\) | 2.38891 | − | 3.91064i | 0.521303 | − | 0.853372i | ||||
\(22\) | 3.97717 | − | 1.22679i | 0.847934 | − | 0.261553i | ||||
\(23\) | −1.48713 | + | 6.51554i | −0.310088 | + | 1.35858i | 0.544275 | + | 0.838907i | \(0.316805\pi\) |
−0.854363 | + | 0.519677i | \(0.826052\pi\) | |||||||
\(24\) | 3.15550 | + | 4.03124i | 0.644114 | + | 0.822873i | ||||
\(25\) | −1.15281 | + | 1.44558i | −0.230562 | + | 0.289116i | ||||
\(26\) | −1.87387 | − | 1.73870i | −0.367497 | − | 0.340987i | ||||
\(27\) | 3.12818 | + | 4.14903i | 0.602019 | + | 0.798482i | ||||
\(28\) | 0.0324699 | + | 0.548968i | 0.00613624 | + | 0.103745i | ||||
\(29\) | −8.28375 | − | 2.55520i | −1.53825 | − | 0.474489i | −0.594210 | − | 0.804310i | \(-0.702535\pi\) |
−0.944043 | + | 0.329821i | \(0.893012\pi\) | |||||||
\(30\) | −3.94395 | + | 1.17754i | −0.720064 | + | 0.214988i | ||||
\(31\) | −1.17977 | + | 2.04343i | −0.211894 | + | 0.367010i | −0.952307 | − | 0.305141i | \(-0.901296\pi\) |
0.740414 | + | 0.672152i | \(0.234630\pi\) | |||||||
\(32\) | −1.11884 | − | 0.345116i | −0.197785 | − | 0.0610085i | ||||
\(33\) | −3.39547 | + | 4.17956i | −0.591076 | + | 0.727568i | ||||
\(34\) | 0.872618 | + | 2.22339i | 0.149653 | + | 0.381309i | ||||
\(35\) | −4.46554 | − | 1.45470i | −0.754815 | − | 0.245890i | ||||
\(36\) | −0.592429 | − | 0.194560i | −0.0987382 | − | 0.0324267i | ||||
\(37\) | −3.32469 | − | 1.02553i | −0.546575 | − | 0.168596i | 0.00915617 | − | 0.999958i | \(-0.497085\pi\) |
−0.555731 | + | 0.831362i | \(0.687562\pi\) | |||||||
\(38\) | −3.34113 | − | 4.18965i | −0.542003 | − | 0.679650i | ||||
\(39\) | 3.26580 | + | 0.522534i | 0.522947 | + | 0.0836723i | ||||
\(40\) | 3.27124 | − | 4.10201i | 0.517229 | − | 0.648585i | ||||
\(41\) | 9.54953 | + | 6.51076i | 1.49139 | + | 1.01681i | 0.988291 | + | 0.152579i | \(0.0487580\pi\) |
0.503096 | + | 0.864231i | \(0.332194\pi\) | |||||||
\(42\) | 3.70494 | + | 4.88963i | 0.571685 | + | 0.754486i | ||||
\(43\) | −5.37684 | + | 3.66587i | −0.819961 | + | 0.559040i | −0.899059 | − | 0.437827i | \(-0.855748\pi\) |
0.0790986 | + | 0.996867i | \(0.474796\pi\) | |||||||
\(44\) | 0.0482920 | − | 0.644412i | 0.00728029 | − | 0.0971487i | ||||
\(45\) | 3.39517 | − | 4.10270i | 0.506122 | − | 0.611594i | ||||
\(46\) | −7.39214 | − | 5.03988i | −1.08991 | − | 0.743089i | ||||
\(47\) | 2.35535 | − | 6.00134i | 0.343563 | − | 0.875385i | −0.649772 | − | 0.760129i | \(-0.725136\pi\) |
0.993336 | − | 0.115256i | \(-0.0367690\pi\) | |||||||
\(48\) | −5.87700 | + | 1.75468i | −0.848271 | + | 0.253266i | ||||
\(49\) | 0.303404 | + | 6.99342i | 0.0433434 | + | 0.999060i | ||||
\(50\) | −1.23761 | − | 2.14361i | −0.175025 | − | 0.303152i | ||||
\(51\) | −2.53745 | − | 1.76388i | −0.355314 | − | 0.246992i | ||||
\(52\) | −0.357589 | + | 0.172206i | −0.0495887 | + | 0.0238807i | ||||
\(53\) | 5.96378 | − | 1.83958i | 0.819188 | − | 0.252686i | 0.143290 | − | 0.989681i | \(-0.454232\pi\) |
0.675898 | + | 0.736995i | \(0.263756\pi\) | |||||||
\(54\) | −6.70035 | + | 1.86901i | −0.911803 | + | 0.254341i | ||||
\(55\) | 4.97232 | + | 2.39455i | 0.670468 | + | 0.322880i | ||||
\(56\) | −7.43541 | − | 2.42217i | −0.993598 | − | 0.323676i | ||||
\(57\) | 6.60646 | + | 2.10354i | 0.875047 | + | 0.278620i | ||||
\(58\) | 7.23568 | − | 9.07326i | 0.950091 | − | 1.19138i | ||||
\(59\) | −4.76254 | + | 3.24704i | −0.620029 | + | 0.422729i | −0.832178 | − | 0.554508i | \(-0.812906\pi\) |
0.212149 | + | 0.977237i | \(0.431954\pi\) | |||||||
\(60\) | −0.0535271 | + | 0.636817i | −0.00691032 | + | 0.0822128i | ||||
\(61\) | 5.52212 | − | 5.12378i | 0.707035 | − | 0.656033i | −0.242335 | − | 0.970193i | \(-0.577913\pi\) |
0.949370 | + | 0.314160i | \(0.101723\pi\) | |||||||
\(62\) | −1.96945 | − | 2.46961i | −0.250120 | − | 0.313641i | ||||
\(63\) | −7.50114 | − | 2.59479i | −0.945055 | − | 0.326913i | ||||
\(64\) | 5.39295 | − | 6.76255i | 0.674119 | − | 0.845318i | ||||
\(65\) | −0.253303 | − | 3.38010i | −0.0314184 | − | 0.419249i | ||||
\(66\) | −3.54777 | − | 6.27550i | −0.436700 | − | 0.772461i | ||||
\(67\) | 6.50009 | − | 11.2585i | 0.794113 | − | 1.37544i | −0.129289 | − | 0.991607i | \(-0.541269\pi\) |
0.923401 | − | 0.383836i | \(-0.125397\pi\) | |||||||
\(68\) | 0.370848 | 0.0449719 | ||||||||
\(69\) | 11.5750 | + | 0.104839i | 1.39347 | + | 0.0126211i | ||||
\(70\) | 3.99684 | − | 4.85336i | 0.477714 | − | 0.580087i | ||||
\(71\) | −2.35944 | + | 10.3374i | −0.280014 | + | 1.22682i | 0.617761 | + | 0.786366i | \(0.288040\pi\) |
−0.897775 | + | 0.440455i | \(0.854817\pi\) | |||||||
\(72\) | 5.65317 | − | 6.83125i | 0.666232 | − | 0.805070i | ||||
\(73\) | 2.62074 | + | 0.395012i | 0.306734 | + | 0.0462327i | 0.300606 | − | 0.953749i | \(-0.402811\pi\) |
0.00612829 | + | 0.999981i | \(0.498049\pi\) | |||||||
\(74\) | 2.90404 | − | 3.64156i | 0.337588 | − | 0.423322i | ||||
\(75\) | 2.87265 | + | 1.41559i | 0.331705 | + | 0.163458i | ||||
\(76\) | −0.795056 | + | 0.245242i | −0.0911992 | + | 0.0281312i | ||||
\(77\) | 0.743583 | − | 8.19201i | 0.0847391 | − | 0.933566i | ||||
\(78\) | −2.24843 | + | 3.81419i | −0.254584 | + | 0.431871i | ||||
\(79\) | −4.61010 | − | 7.98493i | −0.518677 | − | 0.898375i | −0.999764 | − | 0.0217023i | \(-0.993091\pi\) |
0.481087 | − | 0.876673i | \(-0.340242\pi\) | |||||||
\(80\) | 3.14292 | + | 5.44370i | 0.351389 | + | 0.608624i | ||||
\(81\) | 5.86259 | − | 6.82862i | 0.651399 | − | 0.758735i | ||||
\(82\) | −12.7841 | + | 8.71603i | −1.41176 | + | 0.962524i | ||||
\(83\) | 0.832488 | + | 2.12114i | 0.0913774 | + | 0.232826i | 0.969255 | − | 0.246060i | \(-0.0791360\pi\) |
−0.877877 | + | 0.478886i | \(0.841041\pi\) | |||||||
\(84\) | 0.916862 | − | 0.258118i | 0.100038 | − | 0.0281630i | ||||
\(85\) | −1.15708 | + | 2.94820i | −0.125503 | + | 0.319777i | ||||
\(86\) | −1.93856 | − | 8.49339i | −0.209040 | − | 0.915866i | ||||
\(87\) | −1.25763 | + | 14.9622i | −0.134832 | + | 1.60411i | ||||
\(88\) | 8.27923 | + | 3.98707i | 0.882569 | + | 0.425023i | ||||
\(89\) | 5.06502 | + | 12.9055i | 0.536891 | + | 1.36798i | 0.899861 | + | 0.436176i | \(0.143667\pi\) |
−0.362970 | + | 0.931801i | \(0.618237\pi\) | |||||||
\(90\) | 3.45213 | + | 6.23753i | 0.363887 | + | 0.657494i | ||||
\(91\) | −4.58564 | + | 2.12017i | −0.480705 | + | 0.222255i | ||||
\(92\) | −1.14773 | + | 0.782509i | −0.119659 | + | 0.0815822i | ||||
\(93\) | 3.89422 | + | 1.23994i | 0.403812 | + | 0.128576i | ||||
\(94\) | 6.32672 | + | 5.87034i | 0.652552 | + | 0.605480i | ||||
\(95\) | 0.531006 | − | 7.08579i | 0.0544801 | − | 0.726986i | ||||
\(96\) | −0.169861 | + | 2.02086i | −0.0173364 | + | 0.206253i | ||||
\(97\) | 8.43468 | − | 14.6093i | 0.856412 | − | 1.48335i | −0.0189178 | − | 0.999821i | \(-0.506022\pi\) |
0.875329 | − | 0.483527i | \(-0.160645\pi\) | |||||||
\(98\) | −8.86339 | − | 3.04229i | −0.895337 | − | 0.307318i | ||||
\(99\) | 8.32870 | + | 4.19840i | 0.837066 | + | 0.421955i | ||||
\(100\) | −0.380020 | + | 0.0572789i | −0.0380020 | + | 0.00572789i | ||||
\(101\) | −5.81267 | + | 2.79923i | −0.578382 | + | 0.278534i | −0.700117 | − | 0.714029i | \(-0.746869\pi\) |
0.121735 | + | 0.992563i | \(0.461154\pi\) | |||||||
\(102\) | 3.43912 | − | 2.29941i | 0.340524 | − | 0.227675i | ||||
\(103\) | −0.623996 | + | 0.300500i | −0.0614841 | + | 0.0296092i | −0.464373 | − | 0.885640i | \(-0.653720\pi\) |
0.402889 | + | 0.915249i | \(0.368006\pi\) | |||||||
\(104\) | −0.421766 | − | 5.62807i | −0.0413575 | − | 0.551878i | ||||
\(105\) | −0.808692 | + | 8.09430i | −0.0789203 | + | 0.789923i | ||||
\(106\) | −0.624367 | + | 8.33160i | −0.0606439 | + | 0.809237i | ||||
\(107\) | 3.37177 | + | 8.59113i | 0.325961 | + | 0.830536i | 0.996094 | + | 0.0882949i | \(0.0281418\pi\) |
−0.670133 | + | 0.742241i | \(0.733763\pi\) | |||||||
\(108\) | −0.109942 | + | 1.07443i | −0.0105791 | + | 0.103387i | ||||
\(109\) | −2.55684 | + | 6.51473i | −0.244901 | + | 0.623998i | −0.999481 | − | 0.0322101i | \(-0.989745\pi\) |
0.754580 | + | 0.656208i | \(0.227841\pi\) | |||||||
\(110\) | −5.41591 | + | 5.02523i | −0.516386 | + | 0.479137i | ||||
\(111\) | −0.504751 | + | 6.00508i | −0.0479089 | + | 0.569977i | ||||
\(112\) | 5.95581 | − | 7.23212i | 0.562771 | − | 0.683371i | ||||
\(113\) | 6.20553 | + | 0.935334i | 0.583767 | + | 0.0879888i | 0.434285 | − | 0.900776i | \(-0.357001\pi\) |
0.149483 | + | 0.988764i | \(0.452239\pi\) | |||||||
\(114\) | −5.85250 | + | 7.20397i | −0.548136 | + | 0.674714i | ||||
\(115\) | −2.63983 | − | 11.5658i | −0.246165 | − | 1.07852i | ||||
\(116\) | −0.900927 | − | 1.56045i | −0.0836490 | − | 0.144884i | ||||
\(117\) | −0.324549 | − | 5.71928i | −0.0300046 | − | 0.528748i | ||||
\(118\) | −1.71708 | − | 7.52302i | −0.158070 | − | 0.692550i | ||||
\(119\) | 4.71992 | + | 0.0742100i | 0.432674 | + | 0.00680282i | ||||
\(120\) | −8.15150 | − | 4.01691i | −0.744127 | − | 0.366692i | ||||
\(121\) | 0.296846 | − | 1.30057i | 0.0269860 | − | 0.118234i | ||||
\(122\) | 3.68431 | + | 9.38748i | 0.333562 | + | 0.849902i | ||||
\(123\) | 7.48215 | − | 18.5679i | 0.674643 | − | 1.67421i | ||||
\(124\) | −0.468650 | + | 0.144559i | −0.0420860 | + | 0.0129818i | ||||
\(125\) | 2.70534 | − | 11.8529i | 0.241973 | − | 1.06015i | ||||
\(126\) | 6.90225 | − | 8.07862i | 0.614902 | − | 0.719701i | ||||
\(127\) | −1.99047 | − | 8.72083i | −0.176626 | − | 0.773848i | −0.983173 | − | 0.182678i | \(-0.941523\pi\) |
0.806547 | − | 0.591170i | \(-0.201334\pi\) | |||||||
\(128\) | 4.61881 | + | 8.00002i | 0.408249 | + | 0.707109i | ||||
\(129\) | 8.19283 | + | 7.74110i | 0.721338 | + | 0.681566i | ||||
\(130\) | 4.33607 | + | 1.33750i | 0.380298 | + | 0.117306i | ||||
\(131\) | 2.81830 | + | 1.35722i | 0.246236 | + | 0.118581i | 0.552931 | − | 0.833227i | \(-0.313509\pi\) |
−0.306696 | + | 0.951808i | \(0.599223\pi\) | |||||||
\(132\) | −1.10825 | + | 0.156790i | −0.0964606 | + | 0.0136468i | ||||
\(133\) | −10.1681 | + | 2.96219i | −0.881682 | + | 0.256855i | ||||
\(134\) | 10.8509 | + | 13.6066i | 0.937375 | + | 1.17543i | ||||
\(135\) | −8.19854 | − | 4.22634i | −0.705618 | − | 0.363746i | ||||
\(136\) | −1.92661 | + | 4.90893i | −0.165206 | + | 0.420937i | ||||
\(137\) | 2.01972 | + | 0.972647i | 0.172556 | + | 0.0830988i | 0.518168 | − | 0.855279i | \(-0.326614\pi\) |
−0.345612 | + | 0.938378i | \(0.612328\pi\) | |||||||
\(138\) | −5.79181 | + | 14.3731i | −0.493032 | + | 1.22352i | ||||
\(139\) | 15.8649 | + | 10.8165i | 1.34564 | + | 0.917444i | 0.999783 | − | 0.0208427i | \(-0.00663492\pi\) |
0.345860 | + | 0.938286i | \(0.387587\pi\) | |||||||
\(140\) | −0.474742 | − | 0.852970i | −0.0401230 | − | 0.0720891i | ||||
\(141\) | −11.0263 | − | 1.76422i | −0.928580 | − | 0.148574i | ||||
\(142\) | −11.7282 | − | 7.99613i | −0.984206 | − | 0.671020i | ||||
\(143\) | 5.67290 | − | 1.74986i | 0.474392 | − | 0.146331i | ||||
\(144\) | 5.14412 | + | 9.29473i | 0.428677 | + | 0.774560i | ||||
\(145\) | 15.2164 | − | 2.29350i | 1.26365 | − | 0.190465i | ||||
\(146\) | −1.77402 | + | 3.07269i | −0.146819 | + | 0.254298i | ||||
\(147\) | 11.7209 | − | 3.10169i | 0.966724 | − | 0.255823i | ||||
\(148\) | −0.361587 | − | 0.626288i | −0.0297223 | − | 0.0514805i | ||||
\(149\) | 2.59527 | + | 3.25437i | 0.212613 | + | 0.266608i | 0.876690 | − | 0.481056i | \(-0.159747\pi\) |
−0.664077 | + | 0.747664i | \(0.731175\pi\) | |||||||
\(150\) | −3.16904 | + | 2.88747i | −0.258751 | + | 0.235761i | ||||
\(151\) | −1.69994 | + | 7.44791i | −0.138339 | + | 0.606103i | 0.857461 | + | 0.514549i | \(0.172041\pi\) |
−0.995800 | + | 0.0915540i | \(0.970817\pi\) | |||||||
\(152\) | 0.884158 | − | 11.7983i | 0.0717147 | − | 0.956966i | ||||
\(153\) | −2.04543 | + | 4.94631i | −0.165363 | + | 0.399885i | ||||
\(154\) | 9.84496 | + | 4.93323i | 0.793330 | + | 0.397531i | ||||
\(155\) | 0.313005 | − | 4.17676i | 0.0251411 | − | 0.335485i | ||||
\(156\) | 0.423727 | + | 0.541323i | 0.0339253 | + | 0.0433405i | ||||
\(157\) | −11.8781 | + | 8.09834i | −0.947974 | + | 0.646318i | −0.935396 | − | 0.353603i | \(-0.884956\pi\) |
−0.0125788 | + | 0.999921i | \(0.504004\pi\) | |||||||
\(158\) | 12.2053 | − | 1.83966i | 0.971004 | − | 0.146355i | ||||
\(159\) | −5.31990 | − | 9.41014i | −0.421895 | − | 0.746273i | ||||
\(160\) | 2.05519 | − | 0.309770i | 0.162477 | − | 0.0244895i | ||||
\(161\) | −14.7642 | + | 9.72962i | −1.16358 | + | 0.766802i | ||||
\(162\) | 5.64231 | + | 10.6456i | 0.443302 | + | 0.836395i | ||||
\(163\) | 9.98420 | − | 6.80711i | 0.782023 | − | 0.533174i | −0.105235 | − | 0.994447i | \(-0.533560\pi\) |
0.887258 | + | 0.461273i | \(0.152607\pi\) | |||||||
\(164\) | 0.534569 | + | 2.34210i | 0.0417428 | + | 0.182887i | ||||
\(165\) | 2.21138 | − | 9.29964i | 0.172156 | − | 0.723976i | ||||
\(166\) | −3.05047 | −0.236762 | ||||||||
\(167\) | 14.3081 | − | 13.2760i | 1.10719 | − | 1.02732i | 0.107741 | − | 0.994179i | \(-0.465638\pi\) |
0.999451 | − | 0.0331451i | \(-0.0105523\pi\) | |||||||
\(168\) | −1.34652 | + | 13.4775i | −0.103886 | + | 1.03981i | ||||
\(169\) | 6.85684 | + | 6.36222i | 0.527449 | + | 0.489401i | ||||
\(170\) | −3.10804 | − | 2.88384i | −0.238376 | − | 0.221181i | ||||
\(171\) | 1.11418 | − | 11.9570i | 0.0852034 | − | 0.914373i | ||||
\(172\) | −1.33752 | − | 0.201599i | −0.101985 | − | 0.0153717i | ||||
\(173\) | 13.8001 | − | 4.25677i | 1.04920 | − | 0.323636i | 0.278237 | − | 0.960512i | \(-0.410250\pi\) |
0.770966 | + | 0.636876i | \(0.219774\pi\) | |||||||
\(174\) | −18.0304 | − | 8.88502i | −1.36688 | − | 0.673572i | ||||
\(175\) | −4.84813 | + | 0.652964i | −0.366484 | + | 0.0493595i | ||||
\(176\) | −8.07040 | + | 7.48823i | −0.608329 | + | 0.564447i | ||||
\(177\) | 7.25680 | + | 6.85668i | 0.545454 | + | 0.515379i | ||||
\(178\) | −18.5596 | −1.39110 | ||||||||
\(179\) | −15.1518 | + | 14.0588i | −1.13250 | + | 1.05080i | −0.134290 | + | 0.990942i | \(0.542875\pi\) |
−0.998207 | + | 0.0598608i | \(0.980934\pi\) | |||||||
\(180\) | 1.09734 | − | 0.145121i | 0.0817905 | − | 0.0108167i | ||||
\(181\) | −5.28681 | + | 6.62945i | −0.392965 | + | 0.492763i | −0.938478 | − | 0.345340i | \(-0.887764\pi\) |
0.545512 | + | 0.838103i | \(0.316335\pi\) | |||||||
\(182\) | −0.399329 | − | 6.75143i | −0.0296002 | − | 0.500450i | ||||
\(183\) | −10.7135 | − | 7.44733i | −0.791961 | − | 0.550523i | ||||
\(184\) | −4.39547 | − | 19.2578i | −0.324039 | − | 1.41971i | ||||
\(185\) | 6.10711 | − | 0.920498i | 0.449003 | − | 0.0676764i | ||||
\(186\) | −3.44979 | + | 4.24642i | −0.252951 | + | 0.311363i | ||||
\(187\) | −5.48509 | − | 0.826745i | −0.401110 | − | 0.0604576i | ||||
\(188\) | 1.20732 | − | 0.581416i | 0.0880531 | − | 0.0424041i | ||||
\(189\) | −1.61427 | + | 13.6526i | −0.117421 | + | 0.993082i | ||||
\(190\) | 8.57039 | + | 4.12728i | 0.621762 | + | 0.299425i | ||||
\(191\) | −11.3859 | − | 7.76276i | −0.823853 | − | 0.561694i | 0.0763915 | − | 0.997078i | \(-0.475660\pi\) |
−0.900245 | + | 0.435384i | \(0.856612\pi\) | |||||||
\(192\) | −13.4385 | − | 6.62225i | −0.969841 | − | 0.477920i | ||||
\(193\) | −0.872782 | + | 11.6465i | −0.0628242 | + | 0.838331i | 0.873417 | + | 0.486973i | \(0.161899\pi\) |
−0.936241 | + | 0.351358i | \(0.885720\pi\) | |||||||
\(194\) | 14.0804 | + | 17.6562i | 1.01091 | + | 1.26764i | ||||
\(195\) | −5.62553 | + | 1.67960i | −0.402853 | + | 0.120279i | ||||
\(196\) | −0.942473 | + | 1.10846i | −0.0673195 | + | 0.0791758i | ||||
\(197\) | −13.0812 | −0.931999 | −0.465999 | − | 0.884785i | \(-0.654305\pi\) | ||||
−0.465999 | + | 0.884785i | \(0.654305\pi\) | |||||||
\(198\) | −9.30538 | + | 8.32560i | −0.661305 | + | 0.591675i | ||||
\(199\) | −20.6501 | − | 14.0790i | −1.46384 | − | 0.998032i | −0.993289 | − | 0.115661i | \(-0.963101\pi\) |
−0.470555 | − | 0.882371i | \(-0.655946\pi\) | |||||||
\(200\) | 1.21606 | − | 5.32792i | 0.0859887 | − | 0.376741i | ||||
\(201\) | −21.4556 | − | 6.83160i | −1.51336 | − | 0.481864i | ||||
\(202\) | −0.645428 | − | 8.61264i | −0.0454122 | − | 0.605983i | ||||
\(203\) | −11.1542 | − | 20.0407i | −0.782870 | − | 1.40658i | ||||
\(204\) | −0.137254 | − | 0.627491i | −0.00960967 | − | 0.0439332i | ||||
\(205\) | −20.2873 | − | 3.05783i | −1.41693 | − | 0.213568i | ||||
\(206\) | −0.0692874 | − | 0.924576i | −0.00482748 | − | 0.0644182i | ||||
\(207\) | −4.10660 | − | 19.6242i | −0.285429 | − | 1.36398i | ||||
\(208\) | 6.46129 | + | 1.99304i | 0.448010 | + | 0.138193i | ||||
\(209\) | 12.3062 | − | 1.85485i | 0.851235 | − | 0.128303i | ||||
\(210\) | −9.69137 | − | 4.96658i | −0.668768 | − | 0.342727i | ||||
\(211\) | −5.52058 | − | 0.832093i | −0.380052 | − | 0.0572837i | −0.0437619 | − | 0.999042i | \(-0.513934\pi\) |
−0.336290 | + | 0.941758i | \(0.609172\pi\) | |||||||
\(212\) | 1.16876 | + | 0.562843i | 0.0802705 | + | 0.0386562i | ||||
\(213\) | 18.3646 | + | 0.166334i | 1.25832 | + | 0.0113970i | ||||
\(214\) | −12.3551 | −0.844577 | ||||||||
\(215\) | 5.77588 | − | 10.0041i | 0.393912 | − | 0.682275i | ||||
\(216\) | −13.6511 | − | 7.03712i | −0.928838 | − | 0.478815i | ||||
\(217\) | −5.99362 | + | 1.74608i | −0.406873 | + | 0.118532i | ||||
\(218\) | −6.86795 | − | 6.37253i | −0.465156 | − | 0.431602i | ||||
\(219\) | −0.301576 | − | 4.58060i | −0.0203786 | − | 0.309529i | ||||
\(220\) | 0.419087 | + | 1.06782i | 0.0282549 | + | 0.0719922i | ||||
\(221\) | 1.24468 | + | 3.17138i | 0.0837259 | + | 0.213330i | ||||
\(222\) | −7.23649 | − | 3.56601i | −0.485681 | − | 0.239335i | ||||
\(223\) | 0.509176 | + | 0.472447i | 0.0340970 | + | 0.0316374i | 0.697037 | − | 0.717035i | \(-0.254501\pi\) |
−0.662940 | + | 0.748672i | \(0.730692\pi\) | |||||||
\(224\) | −1.50653 | − | 2.70679i | −0.100659 | − | 0.180855i | ||||
\(225\) | 1.33205 | − | 5.38458i | 0.0888034 | − | 0.358972i | ||||
\(226\) | −4.20062 | + | 7.27570i | −0.279421 | + | 0.483972i | ||||
\(227\) | 3.28194 | 0.217830 | 0.108915 | − | 0.994051i | \(-0.465262\pi\) | ||||
0.108915 | + | 0.994051i | \(0.465262\pi\) | |||||||
\(228\) | 0.709218 | + | 1.25450i | 0.0469691 | + | 0.0830816i | ||||
\(229\) | −11.8262 | − | 5.69518i | −0.781494 | − | 0.376348i | 0.000207574 | − | 1.00000i | \(-0.499934\pi\) |
−0.781702 | + | 0.623652i | \(0.785648\pi\) | |||||||
\(230\) | 15.7041 | + | 2.36701i | 1.03550 | + | 0.156076i | ||||
\(231\) | −14.1365 | + | 1.77375i | −0.930111 | + | 0.116704i | ||||
\(232\) | 25.3362 | − | 3.81882i | 1.66341 | − | 0.250718i | ||||
\(233\) | −0.0793043 | − | 0.0244621i | −0.00519540 | − | 0.00160257i | 0.292156 | − | 0.956371i | \(-0.405627\pi\) |
−0.297352 | + | 0.954768i | \(0.596103\pi\) | |||||||
\(234\) | 7.28594 | + | 2.39278i | 0.476297 | + | 0.156421i | ||||
\(235\) | 0.855223 | + | 11.4122i | 0.0557886 | + | 0.744447i | ||||
\(236\) | −1.18471 | − | 0.178566i | −0.0771179 | − | 0.0116237i | ||||
\(237\) | −11.8046 | + | 10.7558i | −0.766794 | + | 0.698664i | ||||
\(238\) | −2.40092 | + | 5.84553i | −0.155629 | + | 0.378909i | ||||
\(239\) | 1.09508 | + | 14.6129i | 0.0708351 | + | 0.945229i | 0.913513 | + | 0.406811i | \(0.133359\pi\) |
−0.842677 | + | 0.538419i | \(0.819022\pi\) | |||||||
\(240\) | 8.04778 | − | 7.33273i | 0.519482 | − | 0.473326i | ||||
\(241\) | −6.03109 | + | 26.4239i | −0.388497 | + | 1.70212i | 0.281341 | + | 0.959608i | \(0.409221\pi\) |
−0.669837 | + | 0.742508i | \(0.733636\pi\) | |||||||
\(242\) | 1.47555 | + | 1.00601i | 0.0948518 | + | 0.0646689i | ||||
\(243\) | −13.7241 | − | 7.39245i | −0.880403 | − | 0.474226i | ||||
\(244\) | 1.56577 | 0.100238 | ||||||||
\(245\) | −5.87153 | − | 10.9511i | −0.375118 | − | 0.699638i | ||||
\(246\) | 19.4794 | + | 18.4054i | 1.24196 | + | 1.17348i | ||||
\(247\) | −4.76569 | − | 5.97598i | −0.303233 | − | 0.380243i | ||||
\(248\) | 0.521172 | − | 6.95456i | 0.0330945 | − | 0.441615i | ||||
\(249\) | 3.28096 | − | 2.19366i | 0.207923 | − | 0.139018i | ||||
\(250\) | 13.4476 | + | 9.16840i | 0.850499 | + | 0.579861i | ||||
\(251\) | −6.52421 | − | 3.14189i | −0.411804 | − | 0.198315i | 0.216499 | − | 0.976283i | \(-0.430536\pi\) |
−0.628304 | + | 0.777968i | \(0.716250\pi\) | |||||||
\(252\) | −0.776085 | − | 1.45584i | −0.0488888 | − | 0.0917094i | ||||
\(253\) | 18.7202 | − | 9.01518i | 1.17693 | − | 0.566779i | ||||
\(254\) | 11.8412 | + | 1.78477i | 0.742980 | + | 0.111986i | ||||
\(255\) | 5.41673 | + | 0.866685i | 0.339209 | + | 0.0542739i | ||||
\(256\) | 4.87763 | − | 0.735185i | 0.304852 | − | 0.0459491i | ||||
\(257\) | 1.55077 | + | 6.79435i | 0.0967342 | + | 0.423820i | 0.999986 | − | 0.00529074i | \(-0.00168410\pi\) |
−0.903252 | + | 0.429111i | \(0.858827\pi\) | |||||||
\(258\) | −13.6537 | + | 6.42360i | −0.850044 | + | 0.399916i | ||||
\(259\) | −4.47673 | − | 8.04336i | −0.278171 | − | 0.499790i | ||||
\(260\) | 0.439269 | − | 0.550826i | 0.0272423 | − | 0.0341608i | ||||
\(261\) | 25.7822 | − | 3.40965i | 1.59588 | − | 0.211052i | ||||
\(262\) | −3.06972 | + | 2.84828i | −0.189648 | + | 0.175967i | ||||
\(263\) | −21.2831 | −1.31237 | −0.656185 | − | 0.754600i | \(-0.727831\pi\) | ||||
−0.656185 | + | 0.754600i | \(0.727831\pi\) | |||||||
\(264\) | 3.68209 | − | 15.4845i | 0.226617 | − | 0.953004i | ||||
\(265\) | −8.12118 | + | 7.53535i | −0.498880 | + | 0.462893i | ||||
\(266\) | 1.28165 | − | 14.1199i | 0.0785832 | − | 0.865746i | ||||
\(267\) | 19.9620 | − | 13.3467i | 1.22166 | − | 0.816803i | ||||
\(268\) | 2.58208 | − | 0.796466i | 0.157726 | − | 0.0486519i | ||||
\(269\) | 5.67274 | + | 0.855028i | 0.345873 | + | 0.0521320i | 0.319682 | − | 0.947525i | \(-0.396424\pi\) |
0.0261914 | + | 0.999657i | \(0.491662\pi\) | |||||||
\(270\) | 9.27653 | − | 8.14973i | 0.564552 | − | 0.495977i | ||||
\(271\) | −7.20945 | − | 6.68939i | −0.437943 | − | 0.406352i | 0.430147 | − | 0.902759i | \(-0.358462\pi\) |
−0.868090 | + | 0.496407i | \(0.834652\pi\) | |||||||
\(272\) | −4.63138 | − | 4.29730i | −0.280819 | − | 0.260562i | ||||
\(273\) | 5.28461 | + | 6.97442i | 0.319839 | + | 0.422111i | ||||
\(274\) | −2.19990 | + | 2.04121i | −0.132901 | + | 0.123314i | ||||
\(275\) | 5.74846 | 0.346645 | ||||||||
\(276\) | 1.74883 | + | 1.65240i | 0.105267 | + | 0.0994628i | ||||
\(277\) | 5.09053 | + | 22.3031i | 0.305860 | + | 1.34006i | 0.861127 | + | 0.508390i | \(0.169759\pi\) |
−0.555267 | + | 0.831672i | \(0.687384\pi\) | |||||||
\(278\) | −21.2385 | + | 14.4802i | −1.27380 | + | 0.868463i | ||||
\(279\) | 0.656759 | − | 7.04811i | 0.0393191 | − | 0.421959i | ||||
\(280\) | 13.7572 | − | 1.85287i | 0.822148 | − | 0.110730i | ||||
\(281\) | 21.4828 | − | 3.23801i | 1.28155 | − | 0.193163i | 0.527263 | − | 0.849702i | \(-0.323218\pi\) |
0.754292 | + | 0.656539i | \(0.227980\pi\) | |||||||
\(282\) | 7.59132 | − | 12.8778i | 0.452056 | − | 0.766860i | ||||
\(283\) | −28.8411 | + | 4.34709i | −1.71442 | + | 0.258408i | −0.931508 | − | 0.363721i | \(-0.881506\pi\) |
−0.782915 | + | 0.622129i | \(0.786268\pi\) | |||||||
\(284\) | −1.82096 | + | 1.24151i | −0.108054 | + | 0.0736699i | ||||
\(285\) | −12.1860 | + | 1.72402i | −0.721837 | + | 0.102122i | ||||
\(286\) | −0.593915 | + | 7.92524i | −0.0351189 | + | 0.468629i | ||||
\(287\) | 6.33499 | + | 29.9158i | 0.373943 | + | 1.76587i | ||||
\(288\) | 3.48225 | − | 0.460522i | 0.205194 | − | 0.0271365i | ||||
\(289\) | −1.03252 | + | 13.7781i | −0.0607366 | + | 0.810474i | ||||
\(290\) | −4.58403 | + | 20.0840i | −0.269184 | + | 1.17937i | ||||
\(291\) | −27.8413 | − | 8.86485i | −1.63209 | − | 0.519667i | ||||
\(292\) | 0.343469 | + | 0.430696i | 0.0201000 | + | 0.0252046i | ||||
\(293\) | −5.15282 | − | 8.92495i | −0.301031 | − | 0.521401i | 0.675339 | − | 0.737508i | \(-0.263997\pi\) |
−0.976370 | + | 0.216107i | \(0.930664\pi\) | |||||||
\(294\) | −1.86729 | + | 16.1232i | −0.108902 | + | 0.940326i | ||||
\(295\) | 5.11599 | − | 8.86115i | 0.297864 | − | 0.515916i | ||||
\(296\) | 10.1687 | − | 1.53269i | 0.591044 | − | 0.0890856i | ||||
\(297\) | 4.02137 | − | 15.6464i | 0.233344 | − | 0.907897i | ||||
\(298\) | −5.32481 | + | 1.64249i | −0.308458 | + | 0.0951467i | ||||
\(299\) | −10.5439 | − | 7.18872i | −0.609771 | − | 0.415735i | ||||
\(300\) | 0.237567 | + | 0.621813i | 0.0137159 | + | 0.0359004i | ||||
\(301\) | −16.9828 | − | 2.83347i | −0.978871 | − | 0.163319i | ||||
\(302\) | −8.44996 | − | 5.76108i | −0.486240 | − | 0.331513i | ||||
\(303\) | 6.88774 | + | 8.79928i | 0.395691 | + | 0.505506i | ||||
\(304\) | 12.7710 | + | 6.15018i | 0.732466 | + | 0.352737i | ||||
\(305\) | −4.88536 | + | 12.4477i | −0.279735 | + | 0.712752i | ||||
\(306\) | −5.16355 | − | 4.96813i | −0.295180 | − | 0.284009i | ||||
\(307\) | 5.35437 | + | 6.71416i | 0.305590 | + | 0.383198i | 0.910786 | − | 0.412879i | \(-0.135477\pi\) |
−0.605196 | + | 0.796076i | \(0.706905\pi\) | |||||||
\(308\) | 1.27145 | − | 1.14307i | 0.0724476 | − | 0.0651323i | ||||
\(309\) | 0.739406 | + | 0.944612i | 0.0420634 | + | 0.0537371i | ||||
\(310\) | 5.05187 | + | 2.43285i | 0.286927 | + | 0.138177i | ||||
\(311\) | 7.70694 | + | 2.37728i | 0.437020 | + | 0.134803i | 0.505456 | − | 0.862853i | \(-0.331324\pi\) |
−0.0684352 | + | 0.997656i | \(0.521801\pi\) | |||||||
\(312\) | −9.36685 | + | 2.79664i | −0.530294 | + | 0.158329i | ||||
\(313\) | 6.67943 | + | 11.5691i | 0.377544 | + | 0.653925i | 0.990704 | − | 0.136034i | \(-0.0434355\pi\) |
−0.613161 | + | 0.789958i | \(0.710102\pi\) | |||||||
\(314\) | −4.28251 | − | 18.7629i | −0.241676 | − | 1.05885i | ||||
\(315\) | 13.9952 | − | 1.62742i | 0.788542 | − | 0.0916948i | ||||
\(316\) | 0.426450 | − | 1.86840i | 0.0239897 | − | 0.105106i | ||||
\(317\) | −0.906591 | + | 0.279646i | −0.0509192 | + | 0.0157065i | −0.320110 | − | 0.947380i | \(-0.603720\pi\) |
0.269191 | + | 0.963087i | \(0.413244\pi\) | |||||||
\(318\) | 14.3285 | − | 2.02713i | 0.803504 | − | 0.113676i | ||||
\(319\) | 9.84656 | + | 25.0886i | 0.551302 | + | 1.40469i | ||||
\(320\) | −3.41660 | + | 14.9691i | −0.190994 | + | 0.836799i | ||||
\(321\) | 13.2887 | − | 8.88483i | 0.741701 | − | 0.495903i | ||||
\(322\) | −4.90381 | − | 23.1573i | −0.273279 | − | 1.29051i | ||||
\(323\) | 1.58923 | + | 6.96288i | 0.0884272 | + | 0.387425i | ||||
\(324\) | 1.85867 | − | 0.211627i | 0.103259 | − | 0.0117571i | ||||
\(325\) | −1.76529 | − | 3.05758i | −0.0979209 | − | 0.169604i | ||||
\(326\) | 3.59969 | + | 15.7713i | 0.199369 | + | 0.873491i | ||||
\(327\) | 11.9695 | + | 1.91514i | 0.661917 | + | 0.105908i | ||||
\(328\) | −33.7797 | − | 5.09147i | −1.86517 | − | 0.281129i | ||||
\(329\) | 15.4824 | − | 7.15831i | 0.853573 | − | 0.394650i | ||||
\(330\) | 10.5074 | + | 7.30409i | 0.578413 | + | 0.402077i | ||||
\(331\) | 5.27792 | − | 4.89719i | 0.290101 | − | 0.269174i | −0.521674 | − | 0.853145i | \(-0.674692\pi\) |
0.811775 | + | 0.583971i | \(0.198502\pi\) | |||||||
\(332\) | −0.173035 | + | 0.440886i | −0.00949654 | + | 0.0241968i | ||||
\(333\) | 10.3477 | − | 1.36847i | 0.567050 | − | 0.0749914i | ||||
\(334\) | 9.54623 | + | 24.3234i | 0.522346 | + | 1.33092i | ||||
\(335\) | −1.72453 | + | 23.0123i | −0.0942213 | + | 1.25730i | ||||
\(336\) | −14.4414 | − | 7.40084i | −0.787842 | − | 0.403749i | ||||
\(337\) | 1.22673 | + | 16.3696i | 0.0668244 | + | 0.891710i | 0.925392 | + | 0.379010i | \(0.123736\pi\) |
−0.858568 | + | 0.512700i | \(0.828645\pi\) | |||||||
\(338\) | −11.2820 | + | 5.43312i | −0.613660 | + | 0.295523i | ||||
\(339\) | −0.714089 | − | 10.8462i | −0.0387840 | − | 0.589086i | ||||
\(340\) | −0.593105 | + | 0.285624i | −0.0321657 | + | 0.0154902i | ||||
\(341\) | 7.25394 | − | 1.09335i | 0.392823 | − | 0.0592085i | ||||
\(342\) | 14.3555 | + | 7.23645i | 0.776257 | + | 0.391302i | ||||
\(343\) | −12.2170 | + | 13.9192i | −0.659657 | + | 0.751566i | ||||
\(344\) | 9.61720 | − | 16.6575i | 0.518525 | − | 0.898111i | ||||
\(345\) | −18.5929 | + | 8.74732i | −1.00101 | + | 0.470940i | ||||
\(346\) | −1.44478 | + | 19.2792i | −0.0776718 | + | 1.03646i | ||||
\(347\) | 17.6949 | + | 16.4185i | 0.949915 | + | 0.881392i | 0.993052 | − | 0.117677i | \(-0.0375448\pi\) |
−0.0431374 | + | 0.999069i | \(0.513735\pi\) | |||||||
\(348\) | −2.30692 | + | 2.10195i | −0.123664 | + | 0.112676i | ||||
\(349\) | 14.2875 | − | 9.74104i | 0.764791 | − | 0.521426i | −0.116962 | − | 0.993136i | \(-0.537316\pi\) |
0.881753 | + | 0.471711i | \(0.156363\pi\) | |||||||
\(350\) | 1.55745 | − | 6.36095i | 0.0832490 | − | 0.340007i | ||||
\(351\) | −9.55717 | + | 2.66590i | −0.510124 | + | 0.142295i | ||||
\(352\) | 1.32992 | + | 3.38858i | 0.0708849 | + | 0.180612i | ||||
\(353\) | −6.42961 | − | 3.09634i | −0.342214 | − | 0.164802i | 0.254880 | − | 0.966973i | \(-0.417964\pi\) |
−0.597094 | + | 0.802171i | \(0.703678\pi\) | |||||||
\(354\) | −12.0938 | + | 5.68971i | −0.642778 | + | 0.302404i | ||||
\(355\) | −4.18828 | − | 18.3500i | −0.222291 | − | 0.973919i | ||||
\(356\) | −1.05278 | + | 2.68244i | −0.0557972 | + | 0.142169i | ||||
\(357\) | −1.62131 | − | 8.01378i | −0.0858089 | − | 0.424134i | ||||
\(358\) | −10.1091 | − | 25.7576i | −0.534284 | − | 1.36133i | ||||
\(359\) | −1.51496 | + | 1.03288i | −0.0799564 | + | 0.0545133i | −0.602638 | − | 0.798014i | \(-0.705884\pi\) |
0.522682 | + | 0.852528i | \(0.324931\pi\) | |||||||
\(360\) | −3.77986 | + | 15.2794i | −0.199216 | + | 0.805296i | ||||
\(361\) | 1.48830 | + | 2.57780i | 0.0783314 | + | 0.135674i | ||||
\(362\) | −5.67572 | − | 9.83064i | −0.298309 | − | 0.516687i | ||||
\(363\) | −2.31049 | − | 0.0209269i | −0.121269 | − | 0.00109838i | ||||
\(364\) | −0.998442 | − | 0.325254i | −0.0523326 | − | 0.0170479i | ||||
\(365\) | −4.49564 | + | 1.38672i | −0.235313 | + | 0.0725843i | ||||
\(366\) | 14.5204 | − | 9.70841i | 0.758996 | − | 0.507467i | ||||
\(367\) | −0.206174 | + | 0.258534i | −0.0107622 | + | 0.0134954i | −0.787183 | − | 0.616719i | \(-0.788462\pi\) |
0.776421 | + | 0.630214i | \(0.217033\pi\) | |||||||
\(368\) | 23.4011 | + | 3.52715i | 1.21987 | + | 0.183866i | ||||
\(369\) | −34.1870 | − | 5.78801i | −1.77970 | − | 0.301312i | ||||
\(370\) | −1.83980 | + | 8.06070i | −0.0956468 | + | 0.419056i | ||||
\(371\) | 14.7626 | + | 7.39740i | 0.766435 | + | 0.384054i | ||||
\(372\) | 0.418052 | + | 0.739475i | 0.0216750 | + | 0.0383400i | ||||
\(373\) | 21.1992 | 1.09765 | 0.548827 | − | 0.835936i | \(-0.315075\pi\) | ||||
0.548827 | + | 0.835936i | \(0.315075\pi\) | |||||||
\(374\) | 3.71295 | − | 6.43101i | 0.191992 | − | 0.332540i | ||||
\(375\) | −21.0569 | − | 0.190720i | −1.08737 | − | 0.00984872i | ||||
\(376\) | 1.42400 | + | 19.0020i | 0.0734372 | + | 0.979951i | ||||
\(377\) | 10.3207 | − | 12.9418i | 0.531546 | − | 0.666537i | ||||
\(378\) | −16.2240 | − | 8.68897i | −0.834472 | − | 0.446912i | ||||
\(379\) | −11.7957 | − | 14.7914i | −0.605905 | − | 0.759781i | 0.380380 | − | 0.924830i | \(-0.375793\pi\) |
−0.986285 | + | 0.165049i | \(0.947222\pi\) | |||||||
\(380\) | 1.08267 | − | 1.00457i | 0.0555397 | − | 0.0515333i | ||||
\(381\) | −14.0194 | + | 6.59562i | −0.718233 | + | 0.337904i | ||||
\(382\) | 15.2424 | − | 10.3921i | 0.779869 | − | 0.531706i | ||||
\(383\) | 17.1009 | − | 21.4438i | 0.873813 | − | 1.09573i | −0.120862 | − | 0.992669i | \(-0.538566\pi\) |
0.994675 | − | 0.103058i | \(-0.0328626\pi\) | |||||||
\(384\) | 11.8269 | − | 10.7761i | 0.603541 | − | 0.549916i | ||||
\(385\) | 5.12020 | + | 13.6744i | 0.260950 | + | 0.696911i | ||||
\(386\) | −14.0866 | − | 6.78376i | −0.716990 | − | 0.345284i | ||||
\(387\) | 10.0661 | − | 16.7277i | 0.511687 | − | 0.850316i | ||||
\(388\) | 3.35057 | − | 1.03351i | 0.170099 | − | 0.0524687i | ||||
\(389\) | −1.34797 | + | 0.649150i | −0.0683450 | + | 0.0329132i | −0.467744 | − | 0.883864i | \(-0.654933\pi\) |
0.399399 | + | 0.916777i | \(0.369219\pi\) | |||||||
\(390\) | 0.658298 | − | 7.83184i | 0.0333342 | − | 0.396581i | ||||
\(391\) | 5.96193 | + | 10.3264i | 0.301508 | + | 0.522227i | ||||
\(392\) | −9.77646 | − | 18.2342i | −0.493786 | − | 0.920966i | ||||
\(393\) | 1.25341 | − | 5.27101i | 0.0632259 | − | 0.265887i | ||||
\(394\) | 6.39784 | − | 16.3014i | 0.322319 | − | 0.821255i | ||||
\(395\) | 13.5230 | + | 9.21982i | 0.680416 | + | 0.463899i | ||||
\(396\) | 0.675466 | + | 1.81718i | 0.0339435 | + | 0.0913166i | ||||
\(397\) | −1.23689 | + | 16.5052i | −0.0620779 | + | 0.828372i | 0.876080 | + | 0.482165i | \(0.160149\pi\) |
−0.938158 | + | 0.346207i | \(0.887470\pi\) | |||||||
\(398\) | 27.6445 | − | 18.8477i | 1.38569 | − | 0.944748i | ||||
\(399\) | 8.77544 | + | 16.1085i | 0.439322 | + | 0.806433i | ||||
\(400\) | 5.40968 | + | 3.68825i | 0.270484 | + | 0.184413i | ||||
\(401\) | −16.2170 | + | 20.3354i | −0.809836 | + | 1.01550i | 0.189598 | + | 0.981862i | \(0.439282\pi\) |
−0.999434 | + | 0.0336406i | \(0.989290\pi\) | |||||||
\(402\) | 19.0070 | − | 23.3961i | 0.947982 | − | 1.16689i | ||||
\(403\) | −2.80916 | − | 3.52258i | −0.139934 | − | 0.175472i | ||||
\(404\) | −1.28140 | − | 0.395261i | −0.0637522 | − | 0.0196649i | ||||
\(405\) | −4.11682 | + | 15.4365i | −0.204567 | + | 0.767046i | ||||
\(406\) | 30.4295 | − | 4.09837i | 1.51019 | − | 0.203399i | ||||
\(407\) | 3.95192 | + | 10.0693i | 0.195890 | + | 0.499118i | ||||
\(408\) | 9.01919 | + | 1.44308i | 0.446516 | + | 0.0714433i | ||||
\(409\) | 7.01106 | + | 2.16262i | 0.346674 | + | 0.106935i | 0.463202 | − | 0.886252i | \(-0.346700\pi\) |
−0.116528 | + | 0.993187i | \(0.537176\pi\) | |||||||
\(410\) | 13.7328 | − | 23.7860i | 0.678216 | − | 1.17470i | ||||
\(411\) | 0.898248 | − | 3.77745i | 0.0443073 | − | 0.186328i | ||||
\(412\) | −0.137560 | − | 0.0424316i | −0.00677709 | − | 0.00209046i | ||||
\(413\) | −15.0425 | − | 2.50975i | −0.740193 | − | 0.123497i | ||||
\(414\) | 26.4636 | + | 4.48040i | 1.30062 | + | 0.220200i | ||||
\(415\) | −2.96511 | − | 2.75122i | −0.145552 | − | 0.135052i | ||||
\(416\) | 1.39396 | − | 1.74798i | 0.0683447 | − | 0.0857016i | ||||
\(417\) | 12.4303 | − | 30.8474i | 0.608714 | − | 1.51060i | ||||
\(418\) | −3.70730 | + | 16.2428i | −0.181330 | + | 0.794459i | ||||
\(419\) | −14.5476 | + | 4.48734i | −0.710697 | + | 0.219221i | −0.628965 | − | 0.777433i | \(-0.716521\pi\) |
−0.0817318 | + | 0.996654i | \(0.526045\pi\) | |||||||
\(420\) | −1.26756 | + | 1.11898i | −0.0618505 | + | 0.0546004i | ||||
\(421\) | 27.7438 | + | 8.55783i | 1.35215 | + | 0.417083i | 0.884380 | − | 0.466767i | \(-0.154581\pi\) |
0.467770 | + | 0.883850i | \(0.345057\pi\) | |||||||
\(422\) | 3.73697 | − | 6.47262i | 0.181913 | − | 0.315082i | ||||
\(423\) | 1.09577 | + | 19.3099i | 0.0532781 | + | 0.938880i | ||||
\(424\) | −13.5223 | + | 12.5468i | −0.656699 | + | 0.609328i | ||||
\(425\) | 0.246526 | + | 3.28966i | 0.0119583 | + | 0.159572i | ||||
\(426\) | −9.18913 | + | 22.8040i | −0.445215 | + | 1.10486i | ||||
\(427\) | 19.9281 | + | 0.313325i | 0.964390 | + | 0.0151628i | ||||
\(428\) | −0.700833 | + | 1.78569i | −0.0338760 | + | 0.0863147i | ||||
\(429\) | −5.06043 | − | 8.95118i | −0.244320 | − | 0.432167i | ||||
\(430\) | 9.64194 | + | 12.0906i | 0.464976 | + | 0.583061i | ||||
\(431\) | −1.84853 | − | 24.6669i | −0.0890405 | − | 1.18816i | −0.845447 | − | 0.534060i | \(-0.820666\pi\) |
0.756406 | − | 0.654102i | \(-0.226953\pi\) | |||||||
\(432\) | 13.8232 | − | 12.1441i | 0.665070 | − | 0.584285i | ||||
\(433\) | 4.13010 | − | 1.98895i | 0.198480 | − | 0.0955830i | −0.332004 | − | 0.943278i | \(-0.607725\pi\) |
0.530484 | + | 0.847695i | \(0.322010\pi\) | |||||||
\(434\) | 0.755478 | − | 8.32305i | 0.0362641 | − | 0.399519i | ||||
\(435\) | −9.51242 | − | 24.8980i | −0.456086 | − | 1.19377i | ||||
\(436\) | −1.31061 | + | 0.631154i | −0.0627666 | + | 0.0302268i | ||||
\(437\) | −19.6106 | − | 18.1959i | −0.938100 | − | 0.870430i | ||||
\(438\) | 5.85571 | + | 1.86449i | 0.279797 | + | 0.0890890i | ||||
\(439\) | −2.78834 | + | 7.10458i | −0.133080 | + | 0.339083i | −0.981844 | − | 0.189689i | \(-0.939252\pi\) |
0.848764 | + | 0.528772i | \(0.177347\pi\) | |||||||
\(440\) | −16.3120 | −0.777643 | ||||||||
\(441\) | −9.58621 | − | 18.6843i | −0.456486 | − | 0.889731i | ||||
\(442\) | −4.56084 | −0.216937 | ||||||||
\(443\) | 11.8728 | − | 30.2515i | 0.564095 | − | 1.43729i | −0.309623 | − | 0.950859i | \(-0.600203\pi\) |
0.873718 | − | 0.486432i | \(-0.161702\pi\) | |||||||
\(444\) | −0.925881 | + | 0.843617i | −0.0439404 | + | 0.0400363i | ||||
\(445\) | −18.0403 | − | 16.7390i | −0.855193 | − | 0.793503i | ||||
\(446\) | −0.837780 | + | 0.403454i | −0.0396701 | + | 0.0191041i | ||||
\(447\) | 4.54601 | − | 5.59579i | 0.215019 | − | 0.264672i | ||||
\(448\) | 22.6800 | − | 3.05462i | 1.07153 | − | 0.144317i | ||||
\(449\) | −21.6370 | + | 10.4198i | −1.02111 | + | 0.491741i | −0.868051 | − | 0.496476i | \(-0.834627\pi\) |
−0.153060 | + | 0.988217i | \(0.548913\pi\) | |||||||
\(450\) | 6.05862 | + | 4.29348i | 0.285606 | + | 0.202397i | ||||
\(451\) | −2.68531 | − | 35.8330i | −0.126447 | − | 1.68731i | ||||
\(452\) | 0.813285 | + | 1.01983i | 0.0382537 | + | 0.0479686i | ||||
\(453\) | 13.2314 | + | 0.119841i | 0.621664 | + | 0.00563063i | ||||
\(454\) | −1.60515 | + | 4.08986i | −0.0753335 | + | 0.191947i | ||||
\(455\) | 5.70097 | − | 6.92267i | 0.267266 | − | 0.324540i | ||||
\(456\) | −20.2905 | + | 2.87060i | −0.950187 | + | 0.134428i | ||||
\(457\) | 0.804066 | + | 10.7295i | 0.0376126 | + | 0.501906i | 0.983917 | + | 0.178628i | \(0.0571658\pi\) |
−0.946304 | + | 0.323278i | \(0.895215\pi\) | |||||||
\(458\) | 12.8812 | − | 11.9520i | 0.601898 | − | 0.558479i | ||||
\(459\) | 9.12641 | + | 1.63030i | 0.425984 | + | 0.0760959i | ||||
\(460\) | 1.23291 | − | 2.13546i | 0.0574847 | − | 0.0995664i | ||||
\(461\) | −14.4700 | − | 4.46341i | −0.673936 | − | 0.207882i | −0.0611477 | − | 0.998129i | \(-0.519476\pi\) |
−0.612789 | + | 0.790247i | \(0.709952\pi\) | |||||||
\(462\) | 4.70355 | − | 18.4840i | 0.218829 | − | 0.859952i | ||||
\(463\) | −26.5750 | + | 8.19729i | −1.23504 | + | 0.380960i | −0.842461 | − | 0.538757i | \(-0.818894\pi\) |
−0.392582 | + | 0.919717i | \(0.628418\pi\) | |||||||
\(464\) | −6.83079 | + | 29.9277i | −0.317112 | + | 1.38936i | ||||
\(465\) | −7.18311 | + | 1.01623i | −0.333109 | + | 0.0471267i | ||||
\(466\) | 0.0692706 | − | 0.0868626i | 0.00320890 | − | 0.00402383i | ||||
\(467\) | −0.608006 | − | 0.564148i | −0.0281352 | − | 0.0261056i | 0.665980 | − | 0.745970i | \(-0.268014\pi\) |
−0.694115 | + | 0.719864i | \(0.744204\pi\) | |||||||
\(468\) | 0.759119 | − | 0.917314i | 0.0350903 | − | 0.0424029i | ||||
\(469\) | 33.0225 | − | 9.62023i | 1.52484 | − | 0.444221i | ||||
\(470\) | −14.6398 | − | 4.51577i | −0.675283 | − | 0.208297i | ||||
\(471\) | 18.0989 | + | 17.1010i | 0.833955 | + | 0.787973i | ||||
\(472\) | 8.51843 | − | 14.7544i | 0.392093 | − | 0.679124i | ||||
\(473\) | 19.3334 | + | 5.96357i | 0.888951 | + | 0.274205i | ||||
\(474\) | −7.63007 | − | 19.9711i | −0.350461 | − | 0.917303i | ||||
\(475\) | −2.70399 | − | 6.88964i | −0.124067 | − | 0.316119i | ||||
\(476\) | 0.708668 | + | 0.678590i | 0.0324818 | + | 0.0311031i | ||||
\(477\) | −13.9535 | + | 12.4843i | −0.638885 | + | 0.571616i | ||||
\(478\) | −18.7458 | − | 5.78230i | −0.857411 | − | 0.264476i | ||||
\(479\) | 7.51117 | + | 9.41871i | 0.343194 | + | 0.430352i | 0.923235 | − | 0.384235i | \(-0.125535\pi\) |
−0.580041 | + | 0.814587i | \(0.696963\pi\) | |||||||
\(480\) | −1.28479 | − | 3.36283i | −0.0586423 | − | 0.153492i | ||||
\(481\) | 4.14224 | − | 5.19420i | 0.188870 | − | 0.236835i | ||||
\(482\) | −29.9790 | − | 20.4394i | −1.36551 | − | 0.930987i | ||||
\(483\) | 21.9273 | + | 21.3807i | 0.997727 | + | 0.972854i | ||||
\(484\) | 0.229099 | − | 0.156197i | 0.0104136 | − | 0.00709986i | ||||
\(485\) | −2.23780 | + | 29.8613i | −0.101613 | + | 1.35593i | ||||
\(486\) | 15.9245 | − | 13.4871i | 0.722352 | − | 0.611786i | ||||
\(487\) | −35.0306 | − | 23.8835i | −1.58739 | − | 1.08226i | −0.950239 | − | 0.311523i | \(-0.899161\pi\) |
−0.637150 | − | 0.770740i | \(-0.719887\pi\) | |||||||
\(488\) | −8.13442 | + | 20.7262i | −0.368228 | + | 0.938229i | ||||
\(489\) | −15.2132 | − | 14.3744i | −0.687964 | − | 0.650031i | ||||
\(490\) | 16.5186 | − | 1.96092i | 0.746234 | − | 0.0885852i | ||||
\(491\) | −8.58315 | − | 14.8665i | −0.387352 | − | 0.670914i | 0.604740 | − | 0.796423i | \(-0.293277\pi\) |
−0.992092 | + | 0.125509i | \(0.959944\pi\) | |||||||
\(492\) | 3.76509 | − | 1.77135i | 0.169744 | − | 0.0798584i | ||||
\(493\) | −13.9352 | + | 6.71082i | −0.627608 | + | 0.302240i | ||||
\(494\) | 9.77792 | − | 3.01609i | 0.439930 | − | 0.135700i | ||||
\(495\) | −16.5539 | − | 0.299893i | −0.744041 | − | 0.0134792i | ||||
\(496\) | 7.52793 | + | 3.62526i | 0.338014 | + | 0.162779i | ||||
\(497\) | −23.4245 | + | 15.4367i | −1.05073 | + | 0.692433i | ||||
\(498\) | 1.12900 | + | 5.16153i | 0.0505918 | + | 0.231294i | ||||
\(499\) | 1.13858 | − | 1.42774i | 0.0509700 | − | 0.0639143i | −0.755693 | − | 0.654926i | \(-0.772700\pi\) |
0.806663 | + | 0.591012i | \(0.201271\pi\) | |||||||
\(500\) | 2.08792 | − | 1.42352i | 0.0933745 | − | 0.0636617i | ||||
\(501\) | −27.7591 | − | 19.2964i | −1.24018 | − | 0.862099i | ||||
\(502\) | 7.10624 | − | 6.59362i | 0.317167 | − | 0.294288i | ||||
\(503\) | 16.7454 | + | 20.9981i | 0.746641 | + | 0.936259i | 0.999512 | − | 0.0312416i | \(-0.00994612\pi\) |
−0.252871 | + | 0.967500i | \(0.581375\pi\) | |||||||
\(504\) | 23.3029 | − | 2.70976i | 1.03800 | − | 0.120702i | ||||
\(505\) | 7.14039 | − | 8.95376i | 0.317743 | − | 0.398437i | ||||
\(506\) | 2.07866 | + | 27.7378i | 0.0924077 | + | 1.23309i | ||||
\(507\) | 8.22740 | − | 13.9568i | 0.365392 | − | 0.619843i | ||||
\(508\) | 0.929633 | − | 1.61017i | 0.0412458 | − | 0.0714398i | ||||
\(509\) | 12.1522 | 0.538636 | 0.269318 | − | 0.963051i | \(-0.413202\pi\) | ||||
0.269318 | + | 0.963051i | \(0.413202\pi\) | |||||||
\(510\) | −3.72928 | + | 6.32629i | −0.165135 | + | 0.280133i | ||||
\(511\) | 4.28527 | + | 5.55036i | 0.189569 | + | 0.245534i | ||||
\(512\) | −5.58055 | + | 24.4500i | −0.246628 | + | 1.08055i | ||||
\(513\) | −20.6441 | + | 2.54013i | −0.911460 | + | 0.112149i | ||||
\(514\) | −9.22538 | − | 1.39050i | −0.406914 | − | 0.0613325i | ||||
\(515\) | 0.766528 | − | 0.961195i | 0.0337772 | − | 0.0423553i | ||||
\(516\) | 0.153912 | + | 2.33776i | 0.00677561 | + | 0.102914i | ||||
\(517\) | −19.1533 | + | 5.90802i | −0.842362 | + | 0.259834i | ||||
\(518\) | 12.2129 | − | 1.64488i | 0.536604 | − | 0.0722719i | ||||
\(519\) | −12.3102 | − | 21.7750i | −0.540357 | − | 0.955815i | ||||
\(520\) | 5.00924 | + | 8.67627i | 0.219670 | + | 0.380479i | ||||
\(521\) | 2.04605 | + | 3.54387i | 0.0896392 | + | 0.155260i | 0.907359 | − | 0.420357i | \(-0.138095\pi\) |
−0.817719 | + | 0.575617i | \(0.804762\pi\) | |||||||
\(522\) | −8.36069 | + | 33.7966i | −0.365937 | + | 1.47924i | ||||
\(523\) | −9.56587 | + | 6.52190i | −0.418286 | + | 0.285183i | −0.754118 | − | 0.656739i | \(-0.771935\pi\) |
0.335831 | + | 0.941922i | \(0.390983\pi\) | |||||||
\(524\) | 0.237537 | + | 0.605235i | 0.0103769 | + | 0.0264398i | ||||
\(525\) | 2.89918 | + | 7.96158i | 0.126530 | + | 0.347472i | ||||
\(526\) | 10.4092 | − | 26.5223i | 0.453865 | − | 1.15643i | ||||
\(527\) | 0.936782 | + | 4.10431i | 0.0408069 | + | 0.178787i | ||||
\(528\) | 15.6574 | + | 10.8840i | 0.681399 | + | 0.473667i | ||||
\(529\) | −19.5184 | − | 9.39958i | −0.848627 | − | 0.408677i | ||||
\(530\) | −5.41838 | − | 13.8058i | −0.235359 | − | 0.599686i | ||||
\(531\) | 8.91601 | − | 14.8165i | 0.386922 | − | 0.642983i | ||||
\(532\) | −1.96806 | − | 0.986178i | −0.0853262 | − | 0.0427562i | ||||
\(533\) | −18.2348 | + | 12.4323i | −0.789836 | + | 0.538501i | ||||
\(534\) | 6.86907 | + | 31.4038i | 0.297254 | + | 1.35897i | ||||
\(535\) | −12.0094 | − | 11.1431i | −0.519211 | − | 0.481757i | ||||
\(536\) | −2.87145 | + | 38.3169i | −0.124028 | + | 1.65504i | ||||
\(537\) | 29.3959 | + | 20.4342i | 1.26853 | + | 0.881802i | ||||
\(538\) | −3.83997 | + | 6.65102i | −0.165553 | + | 0.286746i | ||||
\(539\) | 16.4110 | − | 14.2938i | 0.706870 | − | 0.615678i | ||||
\(540\) | −0.651684 | − | 1.80303i | −0.0280440 | − | 0.0775901i | ||||
\(541\) | −9.81409 | + | 1.47924i | −0.421940 | + | 0.0635973i | −0.356581 | − | 0.934264i | \(-0.616058\pi\) |
−0.0653597 | + | 0.997862i | \(0.520819\pi\) | |||||||
\(542\) | 11.8622 | − | 5.71252i | 0.509524 | − | 0.245374i | ||||
\(543\) | 13.1740 | + | 6.49191i | 0.565351 | + | 0.278595i | ||||
\(544\) | −1.88214 | + | 0.906392i | −0.0806962 | + | 0.0388612i | ||||
\(545\) | −0.928385 | − | 12.3884i | −0.0397676 | − | 0.530662i | ||||
\(546\) | −11.2759 | + | 3.17444i | −0.482566 | + | 0.135854i | ||||
\(547\) | 0.805262 | − | 10.7455i | 0.0344305 | − | 0.459443i | −0.953168 | − | 0.302442i | \(-0.902198\pi\) |
0.987598 | − | 0.157001i | \(-0.0501827\pi\) | |||||||
\(548\) | 0.170230 | + | 0.433739i | 0.00727187 | + | 0.0185284i | ||||
\(549\) | −8.63610 | + | 20.8840i | −0.368580 | + | 0.891306i | ||||
\(550\) | −2.81149 | + | 7.16356i | −0.119882 | + | 0.305455i | ||||
\(551\) | 25.4376 | − | 23.6026i | 1.08368 | − | 1.00550i | ||||
\(552\) | −30.9583 | + | 14.5648i | −1.31767 | + | 0.619920i | ||||
\(553\) | 5.80147 | − | 23.6945i | 0.246704 | − | 1.00759i | ||||
\(554\) | −30.2831 | − | 4.56445i | −1.28661 | − | 0.193925i | ||||
\(555\) | −3.81781 | − | 9.99282i | −0.162057 | − | 0.424172i | ||||
\(556\) | 0.888094 | + | 3.89099i | 0.0376636 | + | 0.165015i | ||||
\(557\) | 6.47529 | + | 11.2155i | 0.274367 | + | 0.475217i | 0.969975 | − | 0.243204i | \(-0.0781984\pi\) |
−0.695608 | + | 0.718421i | \(0.744865\pi\) | |||||||
\(558\) | 8.46194 | + | 4.26557i | 0.358222 | + | 0.180576i | ||||
\(559\) | −2.76510 | − | 12.1147i | −0.116951 | − | 0.512397i | ||||
\(560\) | −3.95513 | + | 16.1536i | −0.167135 | + | 0.682616i | ||||
\(561\) | 0.631186 | + | 9.58702i | 0.0266487 | + | 0.404764i | ||||
\(562\) | −6.47181 | + | 28.3549i | −0.272997 | + | 1.19608i | ||||
\(563\) | 6.93089 | + | 17.6596i | 0.292102 | + | 0.744264i | 0.999306 | + | 0.0372540i | \(0.0118611\pi\) |
−0.707204 | + | 0.707010i | \(0.750044\pi\) | |||||||
\(564\) | −1.43062 | − | 1.82766i | −0.0602401 | − | 0.0769584i | ||||
\(565\) | −10.6450 | + | 3.28356i | −0.447840 | + | 0.138140i | ||||
\(566\) | 8.68854 | − | 38.0670i | 0.365207 | − | 1.60007i | ||||
\(567\) | 23.6983 | − | 2.32152i | 0.995236 | − | 0.0974947i | ||||
\(568\) | −6.97374 | − | 30.5539i | −0.292612 | − | 1.28202i | ||||
\(569\) | −1.68578 | − | 2.91986i | −0.0706716 | − | 0.122407i | 0.828524 | − | 0.559953i | \(-0.189181\pi\) |
−0.899196 | + | 0.437546i | \(0.855848\pi\) | |||||||
\(570\) | 3.81158 | − | 16.0290i | 0.159650 | − | 0.671383i | ||||
\(571\) | −40.2433 | − | 12.4134i | −1.68413 | − | 0.519485i | −0.702729 | − | 0.711458i | \(-0.748035\pi\) |
−0.981400 | + | 0.191973i | \(0.938511\pi\) | |||||||
\(572\) | 1.11175 | + | 0.535391i | 0.0464847 | + | 0.0223858i | ||||
\(573\) | −8.92094 | + | 22.1385i | −0.372678 | + | 0.924849i | ||||
\(574\) | −40.3785 | − | 6.73691i | −1.68537 | − | 0.281193i | ||||
\(575\) | −7.70435 | − | 9.66095i | −0.321293 | − | 0.402889i | ||||
\(576\) | −6.23145 | + | 25.1895i | −0.259644 | + | 1.04956i | ||||
\(577\) | 14.4595 | − | 36.8422i | 0.601957 | − | 1.53376i | −0.226678 | − | 0.973970i | \(-0.572786\pi\) |
0.828634 | − | 0.559790i | \(-0.189118\pi\) | |||||||
\(578\) | −16.6648 | − | 8.02536i | −0.693165 | − | 0.333811i | ||||
\(579\) | 20.0294 | − | 2.83366i | 0.832392 | − | 0.117763i | ||||
\(580\) | 2.64272 | + | 1.80178i | 0.109733 | + | 0.0748148i | ||||
\(581\) | −2.29051 | + | 5.57670i | −0.0950263 | + | 0.231361i | ||||
\(582\) | 24.6639 | − | 30.3594i | 1.02235 | − | 1.25844i | ||||
\(583\) | −16.0319 | − | 10.9304i | −0.663976 | − | 0.452691i | ||||
\(584\) | −7.48552 | + | 2.30898i | −0.309753 | + | 0.0955462i | ||||
\(585\) | 4.92402 | + | 8.89702i | 0.203583 | + | 0.367847i | ||||
\(586\) | 13.6422 | − | 2.05623i | 0.563553 | − | 0.0849420i | ||||
\(587\) | −2.78989 | + | 4.83223i | −0.115151 | + | 0.199448i | −0.917840 | − | 0.396950i | \(-0.870069\pi\) |
0.802689 | + | 0.596398i | \(0.203402\pi\) | |||||||
\(588\) | 2.22438 | + | 1.18446i | 0.0917321 | + | 0.0488462i | ||||
\(589\) | −4.72255 | − | 8.17969i | −0.194589 | − | 0.337038i | ||||
\(590\) | 8.54035 | + | 10.7093i | 0.351601 | + | 0.440893i | ||||
\(591\) | 4.84147 | + | 22.1340i | 0.199151 | + | 0.910473i | ||||
\(592\) | −2.74154 | + | 12.0115i | −0.112677 | + | 0.493669i | ||||
\(593\) | 2.49013 | − | 33.2285i | 0.102257 | − | 1.36453i | −0.676147 | − | 0.736766i | \(-0.736352\pi\) |
0.778405 | − | 0.627763i | \(-0.216029\pi\) | |||||||
\(594\) | 17.5313 | + | 12.6638i | 0.719318 | + | 0.519600i | ||||
\(595\) | −7.60583 | + | 3.51657i | −0.311809 | + | 0.144165i | ||||
\(596\) | −0.0646555 | + | 0.862768i | −0.00264839 | + | 0.0353403i | ||||
\(597\) | −16.1795 | + | 40.1516i | −0.662184 | + | 1.64330i | ||||
\(598\) | 14.1153 | − | 9.62362i | 0.577216 | − | 0.393539i | ||||
\(599\) | −20.9752 | + | 3.16150i | −0.857023 | + | 0.129175i | −0.562832 | − | 0.826571i | \(-0.690288\pi\) |
−0.294191 | + | 0.955747i | \(0.595050\pi\) | |||||||
\(600\) | −9.46517 | − | 0.0857293i | −0.386414 | − | 0.00349988i | ||||
\(601\) | 42.7896 | − | 6.44949i | 1.74542 | − | 0.263080i | 0.802635 | − | 0.596471i | \(-0.203431\pi\) |
0.942789 | + | 0.333390i | \(0.108193\pi\) | |||||||
\(602\) | 11.8370 | − | 19.7776i | 0.482441 | − | 0.806076i | ||||
\(603\) | −3.61849 | + | 38.8323i | −0.147356 | + | 1.58137i | ||||
\(604\) | −1.31197 | + | 0.894486i | −0.0533833 | + | 0.0363961i | ||||
\(605\) | 0.526937 | + | 2.30866i | 0.0214230 | + | 0.0938604i | ||||
\(606\) | −14.3341 | + | 4.27970i | −0.582283 | + | 0.173851i | ||||
\(607\) | 39.7138 | 1.61193 | 0.805967 | − | 0.591961i | \(-0.201646\pi\) | ||||
0.805967 | + | 0.591961i | \(0.201646\pi\) | |||||||
\(608\) | 3.43571 | − | 3.18787i | 0.139336 | − | 0.129285i | ||||
\(609\) | −29.7816 | + | 26.2906i | −1.20681 | + | 1.06535i | ||||
\(610\) | −13.1226 | − | 12.1760i | −0.531318 | − | 0.492991i | ||||
\(611\) | 9.02424 | + | 8.37327i | 0.365082 | + | 0.338746i | ||||
\(612\) | −1.01095 | + | 0.464479i | −0.0408650 | + | 0.0187754i | ||||
\(613\) | 47.4114 | + | 7.14611i | 1.91493 | + | 0.288629i | 0.994705 | − | 0.102769i | \(-0.0327702\pi\) |
0.920222 | + | 0.391398i | \(0.128008\pi\) | |||||||
\(614\) | −10.9857 | + | 3.38865i | −0.443348 | + | 0.136755i | ||||
\(615\) | 2.33453 | + | 35.4589i | 0.0941372 | + | 1.42984i | ||||
\(616\) | 8.52545 | + | 22.7687i | 0.343500 | + | 0.917376i | ||||
\(617\) | 11.3147 | − | 10.4985i | 0.455512 | − | 0.422654i | −0.418754 | − | 0.908099i | \(-0.637533\pi\) |
0.874267 | + | 0.485446i | \(0.161343\pi\) | |||||||
\(618\) | −1.53878 | + | 0.459430i | −0.0618988 | + | 0.0184810i | ||||
\(619\) | 0.547754 | 0.0220161 | 0.0110081 | − | 0.999939i | \(-0.496496\pi\) | ||||
0.0110081 | + | 0.999939i | \(0.496496\pi\) | |||||||
\(620\) | 0.638185 | − | 0.592149i | 0.0256301 | − | 0.0237813i | ||||
\(621\) | −31.6852 | + | 14.2116i | −1.27148 | + | 0.570294i | ||||
\(622\) | −6.73185 | + | 8.44147i | −0.269922 | + | 0.338472i | ||||
\(623\) | −13.9359 | + | 33.9298i | −0.558331 | + | 1.35937i | ||||
\(624\) | 0.980948 | − | 11.6704i | 0.0392694 | − | 0.467192i | ||||
\(625\) | 2.74513 | + | 12.0272i | 0.109805 | + | 0.481088i | ||||
\(626\) | −17.6839 | + | 2.66542i | −0.706791 | + | 0.106532i | ||||
\(627\) | −7.69311 | − | 20.1361i | −0.307233 | − | 0.804158i | ||||
\(628\) | −2.95474 | − | 0.445355i | −0.117907 | − | 0.0177716i | ||||
\(629\) | −5.59288 | + | 2.69339i | −0.223003 | + | 0.107393i | ||||
\(630\) | −4.81683 | + | 18.2364i | −0.191907 | + | 0.726556i | ||||
\(631\) | 26.5380 | + | 12.7800i | 1.05646 | + | 0.508764i | 0.879719 | − | 0.475493i | \(-0.157730\pi\) |
0.176740 | + | 0.984258i | \(0.443445\pi\) | |||||||
\(632\) | 22.5166 | + | 15.3516i | 0.895663 | + | 0.610653i | ||||
\(633\) | 0.635270 | + | 9.64904i | 0.0252497 | + | 0.383515i | ||||
\(634\) | 0.0949140 | − | 1.26654i | 0.00376951 | − | 0.0503007i | ||||
\(635\) | 9.90014 | + | 12.4144i | 0.392875 | + | 0.492650i | ||||
\(636\) | 0.519791 | − | 2.18590i | 0.0206110 | − | 0.0866767i | ||||
\(637\) | −12.6425 | − | 4.33943i | −0.500912 | − | 0.171934i | ||||
\(638\) | −36.0805 | −1.42844 | ||||||||
\(639\) | −6.51543 | − | 31.1353i | −0.257746 | − | 1.23169i | ||||
\(640\) | −13.5485 | − | 9.23724i | −0.535553 | − | 0.365134i | ||||
\(641\) | 5.25526 | − | 23.0248i | 0.207570 | − | 0.909425i | −0.758608 | − | 0.651548i | \(-0.774120\pi\) |
0.966178 | − | 0.257877i | \(-0.0830229\pi\) | |||||||
\(642\) | 4.57272 | + | 20.9054i | 0.180471 | + | 0.825070i | ||||
\(643\) | −0.411757 | − | 5.49452i | −0.0162381 | − | 0.216683i | −0.999420 | − | 0.0340536i | \(-0.989158\pi\) |
0.983182 | − | 0.182629i | \(-0.0584607\pi\) | |||||||
\(644\) | −3.62511 | − | 0.604827i | −0.142849 | − | 0.0238335i | ||||
\(645\) | −19.0651 | − | 6.07045i | −0.750689 | − | 0.239024i | ||||
\(646\) | −9.45421 | − | 1.42499i | −0.371971 | − | 0.0560656i | ||||
\(647\) | 2.51711 | + | 33.5886i | 0.0989580 | + | 1.32050i | 0.796797 | + | 0.604247i | \(0.206526\pi\) |
−0.697839 | + | 0.716255i | \(0.745855\pi\) | |||||||
\(648\) | −6.85476 | + | 25.7027i | −0.269281 | + | 1.00970i | ||||
\(649\) | 17.1246 | + | 5.28223i | 0.672198 | + | 0.207346i | ||||
\(650\) | 4.67365 | − | 0.704439i | 0.183316 | − | 0.0276304i | ||||
\(651\) | 5.17274 | + | 9.49524i | 0.202736 | + | 0.372148i | ||||
\(652\) | 2.48363 | + | 0.374346i | 0.0972663 | + | 0.0146605i | ||||
\(653\) | −17.2318 | − | 8.29840i | −0.674333 | − | 0.324742i | 0.0651902 | − | 0.997873i | \(-0.479235\pi\) |
−0.739523 | + | 0.673131i | \(0.764949\pi\) | |||||||
\(654\) | −8.24073 | + | 13.9794i | −0.322238 | + | 0.546638i | ||||
\(655\) | −5.55269 | −0.216962 | ||||||||
\(656\) | 20.4637 | − | 35.4441i | 0.798972 | − | 1.38386i | ||||
\(657\) | −7.63898 | + | 2.20560i | −0.298025 | + | 0.0860486i | ||||
\(658\) | 1.34825 | + | 22.7948i | 0.0525601 | + | 0.888632i | ||||
\(659\) | 8.67727 | + | 8.05133i | 0.338018 | + | 0.313635i | 0.830858 | − | 0.556485i | \(-0.187850\pi\) |
−0.492839 | + | 0.870120i | \(0.664041\pi\) | |||||||
\(660\) | 1.65169 | − | 1.10432i | 0.0642919 | − | 0.0429857i | ||||
\(661\) | −13.7161 | − | 34.9480i | −0.533493 | − | 1.35932i | −0.902820 | − | 0.430019i | \(-0.858507\pi\) |
0.369326 | − | 0.929300i | \(-0.379588\pi\) | |||||||
\(662\) | 3.52138 | + | 8.97233i | 0.136862 | + | 0.348720i | ||||
\(663\) | 4.90546 | − | 3.27980i | 0.190512 | − | 0.127377i | ||||
\(664\) | −4.93709 | − | 4.58095i | −0.191596 | − | 0.177775i | ||||
\(665\) | 13.9805 | − | 12.5689i | 0.542142 | − | 0.487400i | ||||
\(666\) | −3.35557 | + | 13.5643i | −0.130026 | + | 0.525605i | ||||
\(667\) | 28.9675 | − | 50.1732i | 1.12163 | − | 1.94271i | ||||
\(668\) | 4.05698 | 0.156969 | ||||||||
\(669\) | 0.610951 | − | 1.03641i | 0.0236207 | − | 0.0400698i | ||||
\(670\) | −27.8338 | − | 13.4041i | −1.07531 | − | 0.517844i | ||||
\(671\) | −23.1588 | − | 3.49063i | −0.894036 | − | 0.134754i | ||||
\(672\) | −4.02243 | + | 3.55092i | −0.155169 | + | 0.136980i | ||||
\(673\) | −38.9412 | + | 5.86944i | −1.50107 | + | 0.226250i | −0.847574 | − | 0.530677i | \(-0.821938\pi\) |
−0.653499 | + | 0.756928i | \(0.726699\pi\) | |||||||
\(674\) | −20.9993 | − | 6.47743i | −0.808864 | − | 0.249501i | ||||
\(675\) | −9.60395 | − | 0.261016i | −0.369656 | − | 0.0100465i | ||||
\(676\) | 0.145292 | + | 1.93879i | 0.00558815 | + | 0.0745687i | ||||
\(677\) | 41.3049 | + | 6.22571i | 1.58747 | + | 0.239273i | 0.882623 | − | 0.470081i | \(-0.155775\pi\) |
0.704852 | + | 0.709355i | \(0.251013\pi\) | |||||||
\(678\) | 13.8655 | + | 4.41486i | 0.532501 | + | 0.169552i | ||||
\(679\) | 42.8508 | − | 12.4834i | 1.64446 | − | 0.479070i | ||||
\(680\) | −0.699549 | − | 9.33483i | −0.0268265 | − | 0.357975i | ||||
\(681\) | −1.21467 | − | 5.55320i | −0.0465464 | − | 0.212799i | ||||
\(682\) | −2.18529 | + | 9.57439i | −0.0836791 | + | 0.366622i | ||||
\(683\) | 36.7677 | + | 25.0678i | 1.40688 | + | 0.959193i | 0.998933 | + | 0.0461871i | \(0.0147071\pi\) |
0.407946 | + | 0.913006i | \(0.366245\pi\) | |||||||
\(684\) | 1.86019 | − | 1.66433i | 0.0711263 | − | 0.0636373i | ||||
\(685\) | −3.97932 | −0.152042 | ||||||||
\(686\) | −11.3705 | − | 22.0322i | −0.434129 | − | 0.841193i | ||||
\(687\) | −5.25955 | + | 22.1182i | −0.200664 | + | 0.843863i | ||||
\(688\) | 14.3677 | + | 18.0166i | 0.547764 | + | 0.686875i | ||||
\(689\) | −0.890578 | + | 11.8839i | −0.0339283 | + | 0.452742i | ||||
\(690\) | −1.80712 | − | 27.4481i | −0.0687959 | − | 1.04493i | ||||
\(691\) | 26.6606 | + | 18.1769i | 1.01422 | + | 0.691482i | 0.951848 | − | 0.306571i | \(-0.0991818\pi\) |
0.0623697 | + | 0.998053i | \(0.480134\pi\) | |||||||
\(692\) | 2.70449 | + | 1.30241i | 0.102809 | + | 0.0495103i | ||||
\(693\) | 8.23328 | + | 23.2631i | 0.312757 | + | 0.883691i | ||||
\(694\) | −29.1146 | + | 14.0209i | −1.10518 | + | 0.532225i | ||||
\(695\) | −33.7039 | − | 5.08005i | −1.27846 | − | 0.192697i | ||||
\(696\) | −15.8388 | − | 41.4567i | −0.600367 | − | 1.57141i | ||||
\(697\) | 20.3910 | − | 3.07344i | 0.772363 | − | 0.116415i | ||||
\(698\) | 5.15119 | + | 22.5688i | 0.194975 | + | 0.854243i | ||||
\(699\) | −0.0120399 | + | 0.143240i | −0.000455391 | + | 0.00541784i | ||||
\(700\) | −0.831008 | − | 0.585918i | −0.0314092 | − | 0.0221456i | ||||
\(701\) | 16.2136 | − | 20.3312i | 0.612378 | − | 0.767898i | −0.374872 | − | 0.927077i | \(-0.622313\pi\) |
0.987250 | + | 0.159179i | \(0.0508846\pi\) | |||||||
\(702\) | 1.35211 | − | 13.2137i | 0.0510321 | − | 0.498720i | ||||
\(703\) | 10.2094 | − | 9.47291i | 0.385054 | − | 0.357278i | ||||
\(704\) | −26.8918 | −1.01352 | ||||||||
\(705\) | 18.9934 | − | 5.67081i | 0.715332 | − | 0.213575i | ||||
\(706\) | 7.00320 | − | 6.49802i | 0.263569 | − | 0.244556i | ||||
\(707\) | −16.2298 | − | 5.28705i | −0.610385 | − | 0.198840i | ||||
\(708\) | 0.136328 | + | 2.07067i | 0.00512351 | + | 0.0778205i | ||||
\(709\) | −20.2060 | + | 6.23272i | −0.758851 | + | 0.234075i | −0.649949 | − | 0.759978i | \(-0.725210\pi\) |
−0.108902 | + | 0.994052i | \(0.534734\pi\) | |||||||
\(710\) | 24.9157 | + | 3.75544i | 0.935070 | + | 0.140939i | ||||
\(711\) | 22.5683 | + | 15.9932i | 0.846377 | + | 0.599791i | ||||
\(712\) | −30.0382 | − | 27.8714i | −1.12573 | − | 1.04453i | ||||
\(713\) | −11.5596 | − | 10.7257i | −0.432909 | − | 0.401681i | ||||
\(714\) | 10.7795 | + | 1.89900i | 0.403413 | + | 0.0710682i | ||||
\(715\) | −7.72508 | + | 7.16783i | −0.288902 | + | 0.268062i | ||||
\(716\) | −4.29620 | −0.160557 | ||||||||
\(717\) | 24.3204 | − | 7.26128i | 0.908261 | − | 0.271178i | ||||
\(718\) | −0.546201 | − | 2.39306i | −0.0203840 | − | 0.0893083i | ||||
\(719\) | −19.0987 | + | 13.0213i | −0.712261 | + | 0.485611i | −0.864436 | − | 0.502742i | \(-0.832325\pi\) |
0.152175 | + | 0.988353i | \(0.451372\pi\) | |||||||
\(720\) | −15.3859 | − | 10.9033i | −0.573397 | − | 0.406342i | ||||
\(721\) | −1.74229 | − | 0.567570i | −0.0648861 | − | 0.0211374i | ||||
\(722\) | −3.94029 | + | 0.593903i | −0.146642 | + | 0.0221028i | ||||
\(723\) | 46.9427 | + | 0.425176i | 1.74582 | + | 0.0158125i | ||||
\(724\) | −1.74278 | + | 0.262682i | −0.0647699 | + | 0.00976249i | ||||
\(725\) | 13.2433 | − | 9.02915i | 0.491845 | − | 0.335334i | ||||
\(726\) | 1.15611 | − | 2.86903i | 0.0429071 | − | 0.106480i | ||||
\(727\) | −2.03010 | + | 27.0898i | −0.0752924 | + | 1.00471i | 0.823781 | + | 0.566908i | \(0.191861\pi\) |
−0.899073 | + | 0.437798i | \(0.855758\pi\) | |||||||
\(728\) | 9.49247 | − | 11.5267i | 0.351814 | − | 0.427207i | ||||
\(729\) | −7.42896 | + | 25.9579i | −0.275146 | + | 0.961402i | ||||
\(730\) | 0.470663 | − | 6.28056i | 0.0174200 | − | 0.232454i | ||||
\(731\) | −2.58364 | + | 11.3197i | −0.0955593 | + | 0.418673i | ||||
\(732\) | −0.579503 | − | 2.64935i | −0.0214191 | − | 0.0979229i | ||||
\(733\) | −15.2180 | − | 19.0827i | −0.562089 | − | 0.704837i | 0.416854 | − | 0.908974i | \(-0.363133\pi\) |
−0.978942 | + | 0.204137i | \(0.934561\pi\) | |||||||
\(734\) | −0.221341 | − | 0.383373i | −0.00816983 | − | 0.0141506i | ||||
\(735\) | −16.3566 | + | 13.9880i | −0.603323 | + | 0.515954i | ||||
\(736\) | 3.91248 | − | 6.77661i | 0.144216 | − | 0.249789i | ||||
\(737\) | −39.9664 | + | 6.02396i | −1.47218 | + | 0.221895i | ||||
\(738\) | 23.9332 | − | 39.7720i | 0.880994 | − | 1.46403i | ||||
\(739\) | −31.6943 | + | 9.77641i | −1.16590 | + | 0.359631i | −0.816501 | − | 0.577344i | \(-0.804089\pi\) |
−0.349395 | + | 0.936976i | \(0.613613\pi\) | |||||||
\(740\) | 1.06066 | + | 0.723145i | 0.0389906 | + | 0.0265833i | ||||
\(741\) | −8.34782 | + | 10.2755i | −0.306665 | + | 0.377481i | ||||
\(742\) | −16.4386 | + | 14.7787i | −0.603480 | + | 0.542544i | ||||
\(743\) | 16.0411 | + | 10.9366i | 0.588491 | + | 0.401226i | 0.820633 | − | 0.571455i | \(-0.193621\pi\) |
−0.232142 | + | 0.972682i | \(0.574573\pi\) | |||||||
\(744\) | −11.9603 | + | 1.69209i | −0.438487 | + | 0.0620350i | ||||
\(745\) | −6.65717 | − | 3.20593i | −0.243900 | − | 0.117456i | ||||
\(746\) | −10.3682 | + | 26.4179i | −0.379608 | + | 0.967226i | ||||
\(747\) | −4.92608 | − | 4.73965i | −0.180236 | − | 0.173415i | ||||
\(748\) | −0.718866 | − | 0.901429i | −0.0262843 | − | 0.0329595i | ||||
\(749\) | −9.27710 | + | 22.5869i | −0.338978 | + | 0.825309i | ||||
\(750\) | 10.5363 | − | 26.1472i | 0.384731 | − | 0.954761i | ||||
\(751\) | 10.4433 | + | 5.02924i | 0.381082 | + | 0.183520i | 0.614611 | − | 0.788830i | \(-0.289313\pi\) |
−0.233529 | + | 0.972350i | \(0.575027\pi\) | |||||||
\(752\) | −21.8152 | − | 6.72908i | −0.795517 | − | 0.245384i | ||||
\(753\) | −2.90157 | + | 12.2021i | −0.105739 | + | 0.444669i | ||||
\(754\) | 11.0800 | + | 19.1911i | 0.403509 | + | 0.698898i | ||||
\(755\) | −3.01759 | − | 13.2209i | −0.109821 | − | 0.481158i | ||||
\(756\) | −2.17611 | + | 1.85199i | −0.0791445 | + | 0.0673563i | ||||
\(757\) | 9.36879 | − | 41.0474i | 0.340515 | − | 1.49189i | −0.457476 | − | 0.889222i | \(-0.651246\pi\) |
0.797991 | − | 0.602670i | \(-0.205896\pi\) | |||||||
\(758\) | 24.2017 | − | 7.46523i | 0.879044 | − | 0.271149i | ||||
\(759\) | −22.1826 | − | 28.3389i | −0.805177 | − | 1.02864i | ||||
\(760\) | 7.67290 | + | 19.5502i | 0.278325 | + | 0.709161i | ||||
\(761\) | 11.8963 | − | 52.1210i | 0.431240 | − | 1.88939i | −0.0252942 | − | 0.999680i | \(-0.508052\pi\) |
0.456534 | − | 0.889706i | \(-0.349091\pi\) | |||||||
\(762\) | −1.36260 | − | 20.6963i | −0.0493617 | − | 0.749749i | ||||
\(763\) | −16.8069 | + | 7.77067i | −0.608449 | + | 0.281317i | ||||
\(764\) | −0.637365 | − | 2.79248i | −0.0230591 | − | 0.101028i | ||||
\(765\) | −0.538304 | − | 9.48612i | −0.0194624 | − | 0.342972i | ||||
\(766\) | 18.3588 | + | 31.7985i | 0.663332 | + | 1.14892i | ||||
\(767\) | −2.44919 | − | 10.7306i | −0.0884351 | − | 0.387459i | ||||
\(768\) | −3.04922 | − | 7.98108i | −0.110029 | − | 0.287992i | ||||
\(769\) | 22.5835 | + | 3.40391i | 0.814381 | + | 0.122748i | 0.543009 | − | 0.839727i | \(-0.317285\pi\) |
0.271371 | + | 0.962475i | \(0.412523\pi\) | |||||||
\(770\) | −19.5448 | − | 0.307298i | −0.704347 | − | 0.0110743i | ||||
\(771\) | 10.9224 | − | 5.13861i | 0.393361 | − | 0.185063i | ||||
\(772\) | −1.77951 | + | 1.65115i | −0.0640461 | + | 0.0594261i | ||||
\(773\) | 19.3568 | − | 49.3203i | 0.696216 | − | 1.77393i | 0.0655828 | − | 0.997847i | \(-0.479109\pi\) |
0.630633 | − | 0.776081i | \(-0.282795\pi\) | |||||||
\(774\) | 15.9224 | + | 20.7253i | 0.572318 | + | 0.744956i | ||||
\(775\) | −1.59388 | − | 4.06114i | −0.0572539 | − | 0.145880i | ||||
\(776\) | −3.72607 | + | 49.7209i | −0.133758 | + | 1.78488i | ||||
\(777\) | −11.9529 | + | 10.5518i | −0.428806 | + | 0.378542i | ||||
\(778\) | −0.149677 | − | 1.99730i | −0.00536617 | − | 0.0716066i | ||||
\(779\) | −41.6835 | + | 20.0737i | −1.49347 | + | 0.719215i | ||||
\(780\) | −1.09460 | − | 0.539399i | −0.0391930 | − | 0.0193136i | ||||
\(781\) | 29.7010 | − | 14.3032i | 1.06278 | − | 0.511810i | ||||
\(782\) | −15.7843 | + | 2.37910i | −0.564446 | + | 0.0850765i | ||||
\(783\) | −15.3115 | − | 42.3627i | −0.547187 | − | 1.51392i | ||||
\(784\) | 24.6148 | − | 2.92202i | 0.879100 | − | 0.104358i | ||||
\(785\) | 12.7596 | − | 22.1003i | 0.455410 | − | 0.788794i | ||||
\(786\) | 5.95555 | + | 4.13993i | 0.212427 | + | 0.147667i | ||||
\(787\) | 2.89006 | − | 38.5652i | 0.103020 | − | 1.37470i | −0.670962 | − | 0.741492i | \(-0.734119\pi\) |
0.773981 | − | 0.633208i | \(-0.218262\pi\) | |||||||
\(788\) | −1.99315 | − | 1.84937i | −0.0710030 | − | 0.0658811i | ||||
\(789\) | 7.87703 | + | 36.0119i | 0.280430 | + | 1.28206i | ||||
\(790\) | −18.1034 | + | 12.3427i | −0.644089 | + | 0.439133i | ||||
\(791\) | 10.1469 | + | 13.1425i | 0.360783 | + | 0.467293i | ||||
\(792\) | −27.5632 | − | 0.499340i | −0.979417 | − | 0.0177433i | ||||
\(793\) | 5.25519 | + | 13.3900i | 0.186617 | + | 0.475493i | ||||
\(794\) | −19.9633 | − | 9.61384i | −0.708472 | − | 0.341182i | ||||
\(795\) | 15.7559 | + | 10.9525i | 0.558803 | + | 0.388446i | ||||
\(796\) | −1.15596 | − | 5.06459i | −0.0409719 | − | 0.179510i | ||||
\(797\) | −13.4774 | + | 34.3400i | −0.477395 | + | 1.21638i | 0.466021 | + | 0.884774i | \(0.345687\pi\) |
−0.943417 | + | 0.331610i | \(0.892408\pi\) | |||||||
\(798\) | −24.3659 | + | 3.05727i | −0.862542 | + | 0.108226i | ||||
\(799\) | −4.20238 | − | 10.7075i | −0.148669 | − | 0.378803i | ||||
\(800\) | 1.78870 | − | 1.21952i | 0.0632401 | − | 0.0431164i | ||||
\(801\) | −29.9713 | − | 28.8370i | −1.05898 | − | 1.01890i | ||||
\(802\) | −17.4099 | − | 30.1549i | −0.614766 | − | 1.06481i | ||||
\(803\) | −4.11997 | − | 7.13600i | −0.145391 | − | 0.251824i | ||||
\(804\) | −2.30331 | − | 4.07422i | −0.0812313 | − | 0.143687i | ||||
\(805\) | 16.1190 | − | 26.9321i | 0.568121 | − | 0.949232i | ||||
\(806\) | 5.76365 | − | 1.77785i | 0.203016 | − | 0.0626221i | ||||
\(807\) | −0.652780 | − | 9.91500i | −0.0229789 | − | 0.349024i | ||||
\(808\) | 11.8892 | − | 14.9086i | 0.418260 | − | 0.524481i | ||||
\(809\) | −12.0068 | − | 1.80973i | −0.422137 | − | 0.0636268i | −0.0654609 | − | 0.997855i | \(-0.520852\pi\) |
−0.356676 | + | 0.934228i | \(0.616090\pi\) | |||||||
\(810\) | −17.2230 | − | 12.6800i | −0.605156 | − | 0.445531i | ||||
\(811\) | −10.3657 | + | 45.4151i | −0.363989 | + | 1.59474i | 0.378973 | + | 0.925408i | \(0.376277\pi\) |
−0.742962 | + | 0.669333i | \(0.766580\pi\) | |||||||
\(812\) | 1.13375 | − | 4.63048i | 0.0397868 | − | 0.162498i | ||||
\(813\) | −8.65048 | + | 14.6745i | −0.303386 | + | 0.514658i | ||||
\(814\) | −14.4809 | −0.507557 | ||||||||
\(815\) | −10.7252 | + | 18.5765i | −0.375687 | + | 0.650708i | ||||
\(816\) | −5.55711 | + | 9.42698i | −0.194538 | + | 0.330010i | ||||
\(817\) | −1.94668 | − | 25.9766i | −0.0681057 | − | 0.908808i | ||||
\(818\) | −6.12401 | + | 7.67927i | −0.214121 | + | 0.268499i | ||||
\(819\) | 9.84516 | − | 11.5231i | 0.344018 | − | 0.402650i | ||||
\(820\) | −2.65882 | − | 3.33406i | −0.0928500 | − | 0.116430i | ||||
\(821\) | 2.07554 | − | 1.92582i | 0.0724367 | − | 0.0672115i | −0.643124 | − | 0.765762i | \(-0.722362\pi\) |
0.715560 | + | 0.698551i | \(0.246171\pi\) | |||||||
\(822\) | 4.26802 | + | 2.96687i | 0.148864 | + | 0.103481i | ||||
\(823\) | −16.7734 | + | 11.4359i | −0.584682 | + | 0.398630i | −0.819222 | − | 0.573477i | \(-0.805594\pi\) |
0.234539 | + | 0.972107i | \(0.424642\pi\) | |||||||
\(824\) | 1.27632 | − | 1.60045i | 0.0444626 | − | 0.0557543i | ||||
\(825\) | −2.12755 | − | 9.72666i | −0.0740718 | − | 0.338639i | ||||
\(826\) | 10.4846 | − | 17.5180i | 0.364807 | − | 0.609530i | ||||
\(827\) | −20.6671 | − | 9.95277i | −0.718667 | − | 0.346092i | 0.0385487 | − | 0.999257i | \(-0.487727\pi\) |
−0.757216 | + | 0.653165i | \(0.773441\pi\) | |||||||
\(828\) | 2.14868 | − | 3.57066i | 0.0746719 | − | 0.124089i | ||||
\(829\) | −18.7337 | + | 5.77859i | −0.650649 | + | 0.200699i | −0.602472 | − | 0.798140i | \(-0.705817\pi\) |
−0.0481771 | + | 0.998839i | \(0.515341\pi\) | |||||||
\(830\) | 4.87868 | − | 2.34945i | 0.169342 | − | 0.0815506i | ||||
\(831\) | 35.8538 | − | 16.8680i | 1.24375 | − | 0.585143i | ||||
\(832\) | 8.25820 | + | 14.3036i | 0.286302 | + | 0.495889i | ||||
\(833\) | 8.88370 | + | 8.77848i | 0.307802 | + | 0.304156i | ||||
\(834\) | 32.3616 | + | 30.5773i | 1.12059 | + | 1.05881i | ||||
\(835\) | −12.6582 | + | 32.2525i | −0.438055 | + | 1.11615i | ||||
\(836\) | 2.13728 | + | 1.45718i | 0.0739195 | + | 0.0503975i | ||||
\(837\) | −12.1688 | + | 1.49729i | −0.420615 | + | 0.0517541i | ||||
\(838\) | 1.52304 | − | 20.3235i | 0.0526124 | − | 0.702064i | ||||
\(839\) | −27.4068 | + | 18.6857i | −0.946189 | + | 0.645101i | −0.934929 | − | 0.354836i | \(-0.884537\pi\) |
−0.0112602 | + | 0.999937i | \(0.503584\pi\) | |||||||
\(840\) | −8.22677 | − | 22.5920i | −0.283851 | − | 0.779498i | ||||
\(841\) | 38.1306 | + | 25.9970i | 1.31485 | + | 0.896448i | ||||
\(842\) | −24.2336 | + | 30.3880i | −0.835146 | + | 1.04724i | ||||
\(843\) | −13.4298 | − | 35.1514i | −0.462547 | − | 1.21068i | ||||
\(844\) | −0.723516 | − | 0.907261i | −0.0249045 | − | 0.0312292i | ||||
\(845\) | −15.8665 | − | 4.89415i | −0.545823 | − | 0.168364i | ||||
\(846\) | −24.5994 | − | 8.07870i | −0.845744 | − | 0.277751i | ||||
\(847\) | 2.94708 | − | 1.94213i | 0.101263 | − | 0.0667325i | ||||
\(848\) | −8.07408 | − | 20.5724i | −0.277265 | − | 0.706460i | ||||
\(849\) | 18.0298 | + | 47.1915i | 0.618780 | + | 1.61961i | ||||
\(850\) | −4.22006 | − | 1.30171i | −0.144747 | − | 0.0446484i | ||||
\(851\) | 11.6261 | − | 20.1370i | 0.398538 | − | 0.690289i | ||||
\(852\) | 2.77464 | + | 2.62165i | 0.0950576 | + | 0.0898163i | ||||
\(853\) | 46.9254 | + | 14.4746i | 1.60670 | + | 0.495600i | 0.962959 | − | 0.269647i | \(-0.0869072\pi\) |
0.643736 | + | 0.765247i | \(0.277383\pi\) | |||||||
\(854\) | −10.1370 | + | 24.6806i | −0.346882 | + | 0.844553i | ||||
\(855\) | 7.42726 | + | 19.9812i | 0.254007 | + | 0.683343i | ||||
\(856\) | −19.9964 | − | 18.5539i | −0.683462 | − | 0.634160i | ||||
\(857\) | −0.880241 | + | 1.10379i | −0.0300684 | + | 0.0377046i | −0.796638 | − | 0.604456i | \(-0.793390\pi\) |
0.766570 | + | 0.642161i | \(0.221962\pi\) | |||||||
\(858\) | 13.6297 | − | 1.92826i | 0.465310 | − | 0.0658298i | ||||
\(859\) | −9.69694 | + | 42.4851i | −0.330855 | + | 1.44957i | 0.486623 | + | 0.873612i | \(0.338229\pi\) |
−0.817478 | + | 0.575959i | \(0.804629\pi\) | |||||||
\(860\) | 2.29440 | − | 0.707728i | 0.0782383 | − | 0.0241333i | ||||
\(861\) | 48.2742 | − | 21.7912i | 1.64518 | − | 0.742641i | ||||
\(862\) | 31.6433 | + | 9.76065i | 1.07777 | + | 0.332449i | ||||
\(863\) | 24.1059 | − | 41.7526i | 0.820573 | − | 1.42127i | −0.0846832 | − | 0.996408i | \(-0.526988\pi\) |
0.905256 | − | 0.424866i | \(-0.139679\pi\) | |||||||
\(864\) | −2.06803 | − | 5.72169i | −0.0703559 | − | 0.194656i | ||||
\(865\) | −18.7923 | + | 17.4367i | −0.638958 | + | 0.592866i | ||||
\(866\) | 0.458599 | + | 6.11958i | 0.0155838 | + | 0.207952i | ||||
\(867\) | 23.6953 | − | 3.35229i | 0.804733 | − | 0.113850i | ||||
\(868\) | −1.16008 | − | 0.581308i | −0.0393758 | − | 0.0197309i | ||||
\(869\) | −10.4728 | + | 26.6842i | −0.355265 | + | 0.905200i | ||||
\(870\) | 35.6796 | + | 0.323162i | 1.20965 | + | 0.0109562i | ||||
\(871\) | 15.4774 | + | 19.4080i | 0.524431 | + | 0.657616i | ||||
\(872\) | −1.54582 | − | 20.6275i | −0.0523480 | − | 0.698535i | ||||
\(873\) | −4.69544 | + | 50.3898i | −0.158916 | + | 1.70543i | ||||
\(874\) | 32.2665 | − | 15.5387i | 1.09143 | − | 0.525605i | ||||
\(875\) | 26.8586 | − | 17.6998i | 0.907986 | − | 0.598364i | ||||
\(876\) | 0.601637 | − | 0.740569i | 0.0203274 | − | 0.0250215i | ||||
\(877\) | 15.8743 | − | 7.64464i | 0.536035 | − | 0.258141i | −0.146224 | − | 0.989252i | \(-0.546712\pi\) |
0.682259 | + | 0.731110i | \(0.260998\pi\) | |||||||
\(878\) | −7.48978 | − | 6.94950i | −0.252768 | − | 0.234534i | ||||
\(879\) | −13.1943 | + | 12.0220i | −0.445034 | + | 0.405492i | ||||
\(880\) | 7.13979 | − | 18.1919i | 0.240682 | − | 0.613248i | ||||
\(881\) | −34.1724 | −1.15130 | −0.575649 | − | 0.817697i | \(-0.695251\pi\) | ||||
−0.575649 | + | 0.817697i | \(0.695251\pi\) | |||||||
\(882\) | 27.9724 | − | 2.80780i | 0.941878 | − | 0.0945436i | ||||
\(883\) | −29.0087 | −0.976220 | −0.488110 | − | 0.872782i | \(-0.662313\pi\) | ||||
−0.488110 | + | 0.872782i | \(0.662313\pi\) | |||||||
\(884\) | −0.258710 | + | 0.659181i | −0.00870134 | + | 0.0221707i | ||||
\(885\) | −16.8869 | − | 5.37690i | −0.567648 | − | 0.180743i | ||||
\(886\) | 31.8917 | + | 29.5912i | 1.07142 | + | 0.994135i | ||||
\(887\) | −0.640618 | + | 0.308506i | −0.0215099 | + | 0.0103586i | −0.444608 | − | 0.895725i | \(-0.646657\pi\) |
0.423098 | + | 0.906084i | \(0.360943\pi\) | |||||||
\(888\) | −6.35690 | − | 16.6387i | −0.213323 | − | 0.558357i | ||||
\(889\) | 12.1540 | − | 20.3072i | 0.407632 | − | 0.681083i | ||||
\(890\) | 29.6829 | − | 14.2945i | 0.994973 | − | 0.479154i | ||||
\(891\) | −27.9628 | − | 1.01349i | −0.936789 | − | 0.0339532i | ||||
\(892\) | 0.0107891 | + | 0.143971i | 0.000361246 | + | 0.00482049i | ||||
\(893\) | 16.0903 | + | 20.1766i | 0.538441 | + | 0.675184i | ||||
\(894\) | 4.74992 | + | 8.40193i | 0.158861 | + | 0.281002i | ||||
\(895\) | 13.4046 | − | 34.1544i | 0.448066 | − | 1.14165i | ||||
\(896\) | −5.81243 | + | 23.7393i | −0.194180 | + | 0.793073i | ||||
\(897\) | −8.26126 | + | 20.5014i | −0.275836 | + | 0.684522i | ||||
\(898\) | −2.40253 | − | 32.0595i | −0.0801734 | − | 1.06984i | ||||
\(899\) | 14.9943 | − | 13.9127i | 0.500088 | − | 0.464014i | ||||
\(900\) | 0.964210 | − | 0.632112i | 0.0321403 | − | 0.0210704i | ||||
\(901\) | 5.56758 | − | 9.64334i | 0.185483 | − | 0.321266i | ||||
\(902\) | 45.9674 | + | 14.1791i | 1.53055 | + | 0.472112i | ||||
\(903\) | 1.49109 | + | 29.7843i | 0.0496205 | + | 0.991160i | ||||
\(904\) | −17.7247 | + | 5.46733i | −0.589513 | + | 0.181841i | ||||
\(905\) | 3.34936 | − | 14.6745i | 0.111336 | − | 0.487797i | ||||
\(906\) | −6.62062 | + | 16.4299i | −0.219955 | + | 0.545848i | ||||
\(907\) | 35.9745 | − | 45.1106i | 1.19451 | − | 1.49787i | 0.372856 | − | 0.927889i | \(-0.378379\pi\) |
0.821657 | − | 0.569983i | \(-0.193050\pi\) | |||||||
\(908\) | 0.500060 | + | 0.463988i | 0.0165951 | + | 0.0153980i | ||||
\(909\) | 12.3396 | − | 14.9111i | 0.409278 | − | 0.494569i | ||||
\(910\) | 5.83857 | + | 10.4902i | 0.193547 | + | 0.347746i | ||||
\(911\) | −33.8989 | − | 10.4564i | −1.12312 | − | 0.346437i | −0.323074 | − | 0.946374i | \(-0.604716\pi\) |
−0.800047 | + | 0.599937i | \(0.795192\pi\) | |||||||
\(912\) | 5.67975 | − | 23.8853i | 0.188075 | − | 0.790922i | ||||
\(913\) | 3.54220 | − | 6.13526i | 0.117230 | − | 0.203048i | ||||
\(914\) | −13.7641 | − | 4.24565i | −0.455275 | − | 0.140434i | ||||
\(915\) | 22.8702 | + | 3.65926i | 0.756065 | + | 0.120971i | ||||
\(916\) | −0.996756 | − | 2.53969i | −0.0329337 | − | 0.0839138i | ||||
\(917\) | 2.90211 | + | 7.75059i | 0.0958362 | + | 0.255947i | ||||
\(918\) | −6.49523 | + | 10.5757i | −0.214375 | + | 0.349050i | ||||
\(919\) | 15.5698 | + | 4.80265i | 0.513601 | + | 0.158425i | 0.540712 | − | 0.841208i | \(-0.318155\pi\) |
−0.0271115 | + | 0.999632i | \(0.508631\pi\) | |||||||
\(920\) | 21.8621 | + | 27.4141i | 0.720771 | + | 0.903818i | ||||
\(921\) | 9.37898 | − | 11.5448i | 0.309048 | − | 0.380414i | ||||
\(922\) | 12.6393 | − | 15.8491i | 0.416252 | − | 0.521963i | ||||
\(923\) | −16.7287 | − | 11.4054i | −0.550632 | − | 0.375414i | ||||
\(924\) | −2.40470 | − | 1.72829i | −0.0791087 | − | 0.0568567i | ||||
\(925\) | 5.31522 | − | 3.62385i | 0.174763 | − | 0.119152i | ||||
\(926\) | 2.78222 | − | 37.1261i | 0.0914294 | − | 1.22004i | ||||
\(927\) | 1.32467 | − | 1.60072i | 0.0435078 | − | 0.0525745i | ||||
\(928\) | 8.38634 | + | 5.71771i | 0.275295 | + | 0.187693i | ||||
\(929\) | 9.36683 | − | 23.8663i | 0.307316 | − | 0.783028i | −0.690879 | − | 0.722970i | \(-0.742776\pi\) |
0.998195 | − | 0.0600577i | \(-0.0191285\pi\) | |||||||
\(930\) | 2.24676 | − | 9.44841i | 0.0736742 | − | 0.309826i | ||||
\(931\) | −24.8509 | − | 12.9453i | −0.814455 | − | 0.424264i | ||||
\(932\) | −0.00862501 | − | 0.0149389i | −0.000282521 | − | 0.000489342i | ||||
\(933\) | 1.17006 | − | 13.9203i | 0.0383061 | − | 0.455732i | ||||
\(934\) | 1.00039 | − | 0.481763i | 0.0327338 | − | 0.0157638i | ||||
\(935\) | 9.40920 | − | 2.90235i | 0.307714 | − | 0.0949171i | ||||
\(936\) | 8.19879 | + | 14.8141i | 0.267986 | + | 0.484214i | ||||
\(937\) | −20.3521 | − | 9.80104i | −0.664873 | − | 0.320186i | 0.0708319 | − | 0.997488i | \(-0.477435\pi\) |
−0.735705 | + | 0.677302i | \(0.763149\pi\) | |||||||
\(938\) | −4.16239 | + | 45.8568i | −0.135907 | + | 1.49728i | ||||
\(939\) | 17.1034 | − | 15.5837i | 0.558147 | − | 0.508555i | ||||
\(940\) | −1.48310 | + | 1.85975i | −0.0483733 | + | 0.0606582i | ||||
\(941\) | 12.2334 | − | 8.34061i | 0.398799 | − | 0.271896i | −0.347270 | − | 0.937765i | \(-0.612891\pi\) |
0.746069 | + | 0.665869i | \(0.231939\pi\) | |||||||
\(942\) | −30.1627 | + | 14.1905i | −0.982754 | + | 0.462352i | ||||
\(943\) | −56.6225 | + | 52.5380i | −1.84388 | + | 1.71087i | ||||
\(944\) | 12.7262 | + | 15.9582i | 0.414203 | + | 0.519394i | ||||
\(945\) | −7.93342 | − | 23.0783i | −0.258074 | − | 0.750736i | ||||
\(946\) | −16.8873 | + | 21.1760i | −0.549054 | + | 0.688492i | ||||
\(947\) | 0.531001 | + | 7.08571i | 0.0172552 | + | 0.230255i | 0.999163 | + | 0.0408970i | \(0.0130215\pi\) |
−0.981908 | + | 0.189358i | \(0.939359\pi\) | |||||||
\(948\) | −3.31925 | − | 0.0300636i | −0.107804 | − | 0.000976420i | ||||
\(949\) | −2.53040 | + | 4.38279i | −0.0821404 | + | 0.142271i | ||||
\(950\) | 9.90815 | 0.321463 | ||||||||
\(951\) | 0.808711 | + | 1.43049i | 0.0262243 | + | 0.0463870i | ||||
\(952\) | −12.6642 | + | 5.85530i | −0.410448 | + | 0.189771i | ||||
\(953\) | −11.6902 | + | 51.2181i | −0.378682 | + | 1.65912i | 0.322829 | + | 0.946457i | \(0.395366\pi\) |
−0.701511 | + | 0.712658i | \(0.747491\pi\) | |||||||
\(954\) | −8.73311 | − | 23.4943i | −0.282745 | − | 0.760656i | ||||
\(955\) | 24.1885 | + | 3.64584i | 0.782723 | + | 0.117976i | ||||
\(956\) | −1.89906 | + | 2.38134i | −0.0614199 | + | 0.0770181i | ||||
\(957\) | 38.8068 | − | 25.9463i | 1.25445 | − | 0.838726i | ||||
\(958\) | −15.4109 | + | 4.75364i | −0.497904 | + | 0.153583i | ||||
\(959\) | 2.07979 | + | 5.55443i | 0.0671599 | + | 0.179362i | ||||
\(960\) | 26.5930 | + | 0.240862i | 0.858284 | + | 0.00777378i | ||||
\(961\) | 12.7163 | + | 22.0252i | 0.410202 | + | 0.710491i | ||||
\(962\) | 4.44695 | + | 7.70234i | 0.143375 | + | 0.248334i | ||||
\(963\) | −19.9518 | − | 19.1967i | −0.642938 | − | 0.618605i | ||||
\(964\) | −4.65465 | + | 3.17349i | −0.149916 | + | 0.102211i | ||||
\(965\) | −7.57417 | − | 19.2987i | −0.243821 | − | 0.621246i | ||||
\(966\) | −37.3683 | + | 16.8682i | −1.20231 | + | 0.542725i | ||||
\(967\) | −2.33545 | + | 5.95063i | −0.0751031 | + | 0.191360i | −0.963495 | − | 0.267726i | \(-0.913728\pi\) |
0.888392 | + | 0.459086i | \(0.151823\pi\) | |||||||
\(968\) | 0.877382 | + | 3.84406i | 0.0282001 | + | 0.123553i | ||||
\(969\) | 11.1933 | − | 5.26607i | 0.359582 | − | 0.169171i | ||||
\(970\) | −36.1178 | − | 17.3934i | −1.15967 | − | 0.558469i | ||||
\(971\) | 9.80672 | + | 24.9871i | 0.314713 | + | 0.801875i | 0.997461 | + | 0.0712208i | \(0.0226895\pi\) |
−0.682748 | + | 0.730654i | \(0.739215\pi\) | |||||||
\(972\) | −1.04599 | − | 3.06663i | −0.0335502 | − | 0.0983621i | ||||
\(973\) | 10.5245 | + | 49.6999i | 0.337399 | + | 1.59330i | ||||
\(974\) | 46.8959 | − | 31.9731i | 1.50264 | − | 1.02448i | ||||
\(975\) | −4.52022 | + | 4.11859i | −0.144763 | + | 0.131901i | ||||
\(976\) | −19.5543 | − | 18.1438i | −0.625919 | − | 0.580768i | ||||
\(977\) | 2.36103 | − | 31.5058i | 0.0755361 | − | 1.00796i | −0.822709 | − | 0.568463i | \(-0.807538\pi\) |
0.898245 | − | 0.439495i | \(-0.144843\pi\) | |||||||
\(978\) | 25.3535 | − | 11.9279i | 0.810714 | − | 0.381413i | ||||
\(979\) | 21.5514 | − | 37.3282i | 0.688786 | − | 1.19301i | ||||
\(980\) | 0.653590 | − | 2.49868i | 0.0208782 | − | 0.0798173i | ||||
\(981\) | −1.18951 | − | 20.9618i | −0.0379781 | − | 0.669259i | ||||
\(982\) | 22.7240 | − | 3.42510i | 0.725153 | − | 0.109299i | ||||
\(983\) | −41.7580 | + | 20.1096i | −1.33187 | + | 0.641396i | −0.958182 | − | 0.286158i | \(-0.907622\pi\) |
−0.373690 | + | 0.927554i | \(0.621907\pi\) | |||||||
\(984\) | 3.88713 | + | 59.0412i | 0.123917 | + | 1.88216i | ||||
\(985\) | 20.9211 | − | 10.0751i | 0.666602 | − | 0.321019i | ||||
\(986\) | −1.54734 | − | 20.6478i | −0.0492772 | − | 0.657559i | ||||
\(987\) | −17.8423 | − | 23.5476i | −0.567928 | − | 0.749528i | ||||
\(988\) | 0.118727 | − | 1.58430i | 0.00377720 | − | 0.0504032i | ||||
\(989\) | −15.8891 | − | 40.4846i | −0.505242 | − | 1.28734i | ||||
\(990\) | 8.46999 | − | 20.4823i | 0.269194 | − | 0.650970i | ||||
\(991\) | −15.5528 | + | 39.6278i | −0.494050 | + | 1.25882i | 0.438811 | + | 0.898580i | \(0.355400\pi\) |
−0.932860 | + | 0.360238i | \(0.882695\pi\) | |||||||
\(992\) | 2.02520 | − | 1.87911i | 0.0643000 | − | 0.0596617i | ||||
\(993\) | −10.2397 | − | 7.11799i | −0.324946 | − | 0.225883i | ||||
\(994\) | −7.78026 | − | 36.7408i | −0.246775 | − | 1.16535i | ||||
\(995\) | 43.8697 | + | 6.61229i | 1.39076 | + | 0.209624i | ||||
\(996\) | 0.810042 | + | 0.129608i | 0.0256672 | + | 0.00410678i | ||||
\(997\) | −2.08803 | − | 9.14825i | −0.0661285 | − | 0.289728i | 0.931041 | − | 0.364915i | \(-0.118902\pi\) |
−0.997169 | + | 0.0751868i | \(0.976045\pi\) | |||||||
\(998\) | 1.22234 | + | 2.11716i | 0.0386925 | + | 0.0670174i | ||||
\(999\) | −6.14527 | − | 17.0023i | −0.194428 | − | 0.537928i |
(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 | 441.2.z.a.142.16 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.16 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.16 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.16 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.16 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.16 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.16 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.16 | yes | 648 | 441.382 | even | 21 | inner |