Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [133,2,Mod(10,133)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(133, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([3, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("133.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 133 = 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 133.bf (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.06201034688\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 10.5 | ||
Character | \(\chi\) | \(=\) | 133.10 |
Dual form | 133.2.bf.a.40.5 |
$q$-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 \(\left(\mathbb{Z}/133\mathbb{Z}\right)^\times\).
\(n\) | \(78\) | \(115\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.432162 | − | 0.515031i | −0.305585 | − | 0.364182i | 0.591296 | − | 0.806455i | \(-0.298617\pi\) |
−0.896880 | + | 0.442273i | \(0.854172\pi\) | |||||||
\(3\) | −0.514014 | − | 2.91512i | −0.296766 | − | 1.68304i | −0.659937 | − | 0.751321i | \(-0.729417\pi\) |
0.363171 | − | 0.931722i | \(-0.381694\pi\) | |||||||
\(4\) | 0.268804 | − | 1.52446i | 0.134402 | − | 0.762231i | ||||
\(5\) | 0.960858 | − | 0.169425i | 0.429709 | − | 0.0757692i | 0.0453891 | − | 0.998969i | \(-0.485547\pi\) |
0.384319 | + | 0.923200i | \(0.374436\pi\) | |||||||
\(6\) | −1.27924 | + | 1.52454i | −0.522247 | + | 0.622389i | ||||
\(7\) | −0.595102 | + | 2.57796i | −0.224927 | + | 0.974376i | ||||
\(8\) | −2.06581 | + | 1.19270i | −0.730375 | + | 0.421682i | ||||
\(9\) | −5.41462 | + | 1.97076i | −1.80487 | + | 0.656920i | ||||
\(10\) | −0.502506 | − | 0.421652i | −0.158906 | − | 0.133338i | ||||
\(11\) | 5.38077 | 1.62236 | 0.811182 | − | 0.584794i | \(-0.198825\pi\) | ||||
0.811182 | + | 0.584794i | \(0.198825\pi\) | |||||||
\(12\) | −4.58215 | −1.32275 | ||||||||
\(13\) | −0.689632 | − | 0.578670i | −0.191269 | − | 0.160494i | 0.542124 | − | 0.840298i | \(-0.317620\pi\) |
−0.733394 | + | 0.679804i | \(0.762065\pi\) | |||||||
\(14\) | 1.58491 | − | 0.807599i | 0.423584 | − | 0.215840i | ||||
\(15\) | −0.987788 | − | 2.71393i | −0.255046 | − | 0.700733i | ||||
\(16\) | −1.40221 | − | 0.510362i | −0.350552 | − | 0.127590i | ||||
\(17\) | 0.422070 | − | 1.15963i | 0.102367 | − | 0.281251i | −0.877927 | − | 0.478794i | \(-0.841074\pi\) |
0.980294 | + | 0.197543i | \(0.0632963\pi\) | |||||||
\(18\) | 3.35499 | + | 1.93701i | 0.790780 | + | 0.456557i | ||||
\(19\) | 1.71809 | − | 4.00602i | 0.394157 | − | 0.919043i | ||||
\(20\) | − | 1.51033i | − | 0.337721i | ||||||
\(21\) | 7.82093 | + | 0.409687i | 1.70667 | + | 0.0894010i | ||||
\(22\) | −2.32537 | − | 2.77126i | −0.495770 | − | 0.590836i | ||||
\(23\) | 2.99395 | + | 2.51223i | 0.624282 | + | 0.523835i | 0.899146 | − | 0.437648i | \(-0.144188\pi\) |
−0.274864 | + | 0.961483i | \(0.588633\pi\) | |||||||
\(24\) | 4.53871 | + | 5.40902i | 0.926460 | + | 1.10411i | ||||
\(25\) | −3.80392 | + | 1.38451i | −0.760784 | + | 0.276903i | ||||
\(26\) | 0.605261i | 0.118701i | ||||||||
\(27\) | 4.08805 | + | 7.08071i | 0.786746 | + | 1.36268i | ||||
\(28\) | 3.77003 | + | 1.60017i | 0.712468 | + | 0.302404i | ||||
\(29\) | 1.10369 | + | 0.194610i | 0.204950 | + | 0.0361382i | 0.275181 | − | 0.961393i | \(-0.411262\pi\) |
−0.0702305 | + | 0.997531i | \(0.522373\pi\) | |||||||
\(30\) | −0.970871 | + | 1.68160i | −0.177256 | + | 0.307016i | ||||
\(31\) | −2.12005 | − | 3.67204i | −0.380773 | − | 0.659518i | 0.610400 | − | 0.792093i | \(-0.291009\pi\) |
−0.991173 | + | 0.132575i | \(0.957675\pi\) | |||||||
\(32\) | 1.97484 | + | 5.42582i | 0.349105 | + | 0.959158i | ||||
\(33\) | −2.76579 | − | 15.6856i | −0.481462 | − | 2.73051i | ||||
\(34\) | −0.779646 | + | 0.283768i | −0.133708 | + | 0.0486658i | ||||
\(35\) | −0.135038 | + | 2.57787i | −0.0228255 | + | 0.435740i | ||||
\(36\) | 1.54888 | + | 8.78412i | 0.258146 | + | 1.46402i | ||||
\(37\) | −6.56438 | + | 3.78994i | −1.07918 | + | 0.623063i | −0.930674 | − | 0.365849i | \(-0.880779\pi\) |
−0.148503 | + | 0.988912i | \(0.547445\pi\) | |||||||
\(38\) | −2.80572 | + | 0.846380i | −0.455147 | + | 0.137301i | ||||
\(39\) | −1.33241 | + | 2.30780i | −0.213356 | + | 0.369544i | ||||
\(40\) | −1.78288 | + | 1.49601i | −0.281898 | + | 0.236540i | ||||
\(41\) | 5.67466 | − | 4.76161i | 0.886233 | − | 0.743638i | −0.0812179 | − | 0.996696i | \(-0.525881\pi\) |
0.967451 | + | 0.253059i | \(0.0814365\pi\) | |||||||
\(42\) | −3.16891 | − | 4.20507i | −0.488973 | − | 0.648857i | ||||
\(43\) | 10.7063 | + | 3.89676i | 1.63269 | + | 0.594251i | 0.985739 | − | 0.168280i | \(-0.0538211\pi\) |
0.646952 | + | 0.762531i | \(0.276043\pi\) | |||||||
\(44\) | 1.44637 | − | 8.20278i | 0.218049 | − | 1.23662i | ||||
\(45\) | −4.86878 | + | 2.81099i | −0.725795 | + | 0.419038i | ||||
\(46\) | − | 2.62767i | − | 0.387428i | ||||||
\(47\) | 2.42268 | + | 6.65627i | 0.353385 | + | 0.970916i | 0.981275 | + | 0.192614i | \(0.0616966\pi\) |
−0.627890 | + | 0.778302i | \(0.716081\pi\) | |||||||
\(48\) | −0.767010 | + | 4.34993i | −0.110708 | + | 0.627858i | ||||
\(49\) | −6.29171 | − | 3.06829i | −0.898815 | − | 0.438327i | ||||
\(50\) | 2.35698 | + | 1.36080i | 0.333327 | + | 0.192446i | ||||
\(51\) | −3.59740 | − | 0.634318i | −0.503737 | − | 0.0888223i | ||||
\(52\) | −1.06754 | + | 0.895769i | −0.148041 | + | 0.124221i | ||||
\(53\) | −1.25845 | − | 0.221898i | −0.172861 | − | 0.0304801i | 0.0865476 | − | 0.996248i | \(-0.472417\pi\) |
−0.259409 | + | 0.965768i | \(0.583528\pi\) | |||||||
\(54\) | 1.88008 | − | 5.16549i | 0.255847 | − | 0.702934i | ||||
\(55\) | 5.17016 | − | 0.911638i | 0.697144 | − | 0.122925i | ||||
\(56\) | −1.84535 | − | 6.03535i | −0.246596 | − | 0.806507i | ||||
\(57\) | −12.5611 | − | 2.94928i | −1.66376 | − | 0.390642i | ||||
\(58\) | −0.376743 | − | 0.652538i | −0.0494688 | − | 0.0856824i | ||||
\(59\) | 7.87914 | + | 2.86777i | 1.02578 | + | 0.373352i | 0.799471 | − | 0.600704i | \(-0.205113\pi\) |
0.226305 | + | 0.974056i | \(0.427335\pi\) | |||||||
\(60\) | −4.40280 | + | 0.776332i | −0.568399 | + | 0.100224i | ||||
\(61\) | 0.846652 | − | 1.00900i | 0.108403 | − | 0.129189i | −0.709115 | − | 0.705093i | \(-0.750905\pi\) |
0.817518 | + | 0.575904i | \(0.195350\pi\) | |||||||
\(62\) | −0.975008 | + | 2.67881i | −0.123826 | + | 0.340209i | ||||
\(63\) | −1.85828 | − | 15.1314i | −0.234121 | − | 1.90638i | ||||
\(64\) | 0.448815 | − | 0.777371i | 0.0561019 | − | 0.0971714i | ||||
\(65\) | −0.760679 | − | 0.439178i | −0.0943506 | − | 0.0544734i | ||||
\(66\) | −6.88329 | + | 8.20318i | −0.847274 | + | 1.00974i | ||||
\(67\) | −1.94340 | + | 2.31606i | −0.237425 | + | 0.282952i | −0.871579 | − | 0.490255i | \(-0.836904\pi\) |
0.634155 | + | 0.773206i | \(0.281348\pi\) | |||||||
\(68\) | −1.65435 | − | 0.955141i | −0.200620 | − | 0.115828i | ||||
\(69\) | 5.78450 | − | 10.0190i | 0.696372 | − | 1.20615i | ||||
\(70\) | 1.38604 | − | 1.04451i | 0.165664 | − | 0.124843i | ||||
\(71\) | 1.40774 | − | 3.86775i | 0.167068 | − | 0.459017i | −0.827700 | − | 0.561171i | \(-0.810351\pi\) |
0.994769 | + | 0.102154i | \(0.0325734\pi\) | |||||||
\(72\) | 8.83507 | − | 10.5292i | 1.04122 | − | 1.24088i | ||||
\(73\) | −5.92975 | + | 1.04558i | −0.694025 | + | 0.122375i | −0.509523 | − | 0.860457i | \(-0.670178\pi\) |
−0.184502 | + | 0.982832i | \(0.559067\pi\) | |||||||
\(74\) | 4.78881 | + | 1.74299i | 0.556688 | + | 0.202618i | ||||
\(75\) | 5.99129 | + | 10.3772i | 0.691814 | + | 1.19826i | ||||
\(76\) | −5.64519 | − | 3.69599i | −0.647548 | − | 0.423960i | ||||
\(77\) | −3.20211 | + | 13.8714i | −0.364914 | + | 1.58079i | ||||
\(78\) | 1.76441 | − | 0.311112i | 0.199780 | − | 0.0352265i | ||||
\(79\) | −4.77215 | + | 13.1114i | −0.536909 | + | 1.47515i | 0.313790 | + | 0.949492i | \(0.398401\pi\) |
−0.850699 | + | 0.525653i | \(0.823821\pi\) | |||||||
\(80\) | −1.43379 | − | 0.252816i | −0.160303 | − | 0.0282657i | ||||
\(81\) | 5.29768 | − | 4.44528i | 0.588631 | − | 0.493920i | ||||
\(82\) | −4.90475 | − | 0.864839i | −0.541639 | − | 0.0955055i | ||||
\(83\) | −7.30853 | − | 4.21958i | −0.802216 | − | 0.463159i | 0.0420296 | − | 0.999116i | \(-0.486618\pi\) |
−0.844245 | + | 0.535957i | \(0.819951\pi\) | |||||||
\(84\) | 2.72685 | − | 11.8126i | 0.297523 | − | 1.28886i | ||||
\(85\) | 0.209079 | − | 1.18575i | 0.0226778 | − | 0.128612i | ||||
\(86\) | −2.61989 | − | 7.19810i | −0.282510 | − | 0.776191i | ||||
\(87\) | − | 3.31742i | − | 0.355665i | ||||||
\(88\) | −11.1157 | + | 6.41764i | −1.18493 | + | 0.684122i | ||||
\(89\) | −0.824161 | + | 4.67405i | −0.0873609 | + | 0.495448i | 0.909461 | + | 0.415789i | \(0.136494\pi\) |
−0.996822 | + | 0.0796595i | \(0.974617\pi\) | |||||||
\(90\) | 3.55185 | + | 1.29277i | 0.374398 | + | 0.136270i | ||||
\(91\) | 1.90219 | − | 1.43347i | 0.199403 | − | 0.150269i | ||||
\(92\) | 4.63458 | − | 3.88887i | 0.483188 | − | 0.405443i | ||||
\(93\) | −9.61470 | + | 8.06769i | −0.996998 | + | 0.836580i | ||||
\(94\) | 2.38119 | − | 4.12434i | 0.245601 | − | 0.425394i | ||||
\(95\) | 0.972119 | − | 4.14030i | 0.0997374 | − | 0.424786i | ||||
\(96\) | 14.8018 | − | 8.54582i | 1.51070 | − | 0.872204i | ||||
\(97\) | −2.12450 | − | 12.0486i | −0.215710 | − | 1.22335i | −0.879670 | − | 0.475585i | \(-0.842236\pi\) |
0.663959 | − | 0.747769i | \(-0.268875\pi\) | |||||||
\(98\) | 1.13877 | + | 4.56642i | 0.115033 | + | 0.461278i | ||||
\(99\) | −29.1348 | + | 10.6042i | −2.92816 | + | 1.06576i | ||||
\(100\) | 1.08813 | + | 6.17109i | 0.108813 | + | 0.617109i | ||||
\(101\) | 6.35643 | + | 17.4642i | 0.632489 | + | 1.73775i | 0.674127 | + | 0.738615i | \(0.264520\pi\) |
−0.0416384 | + | 0.999133i | \(0.513258\pi\) | |||||||
\(102\) | 1.22797 | + | 2.12690i | 0.121587 | + | 0.210594i | ||||
\(103\) | −3.13042 | + | 5.42205i | −0.308450 | + | 0.534250i | −0.978023 | − | 0.208495i | \(-0.933143\pi\) |
0.669574 | + | 0.742746i | \(0.266477\pi\) | |||||||
\(104\) | 2.11483 | + | 0.372901i | 0.207376 | + | 0.0365660i | ||||
\(105\) | 7.58421 | − | 0.931411i | 0.740143 | − | 0.0908965i | ||||
\(106\) | 0.429569 | + | 0.744036i | 0.0417234 | + | 0.0722671i | ||||
\(107\) | − | 10.0002i | − | 0.966754i | −0.875412 | − | 0.483377i | \(-0.839410\pi\) | ||
0.875412 | − | 0.483377i | \(-0.160590\pi\) | |||||||
\(108\) | 11.8932 | − | 4.32876i | 1.14442 | − | 0.416535i | ||||
\(109\) | 4.50773 | + | 5.37210i | 0.431762 | + | 0.514554i | 0.937430 | − | 0.348174i | \(-0.113198\pi\) |
−0.505668 | + | 0.862728i | \(0.668754\pi\) | |||||||
\(110\) | −2.70387 | − | 2.26881i | −0.257804 | − | 0.216323i | ||||
\(111\) | 14.4223 | + | 17.1878i | 1.36891 | + | 1.63140i | ||||
\(112\) | 2.15015 | − | 3.31111i | 0.203170 | − | 0.312870i | ||||
\(113\) | 12.0079i | 1.12960i | 0.825226 | + | 0.564802i | \(0.191048\pi\) | ||||
−0.825226 | + | 0.564802i | \(0.808952\pi\) | |||||||
\(114\) | 3.90947 | + | 7.74394i | 0.366156 | + | 0.725286i | ||||
\(115\) | 3.30240 | + | 1.90664i | 0.307950 | + | 0.177795i | ||||
\(116\) | 0.593352 | − | 1.63022i | 0.0550914 | − | 0.151362i | ||||
\(117\) | 4.87451 | + | 1.77418i | 0.450649 | + | 0.164023i | ||||
\(118\) | −1.92808 | − | 5.29734i | −0.177494 | − | 0.487660i | ||||
\(119\) | 2.73829 | + | 1.77817i | 0.251019 | + | 0.163005i | ||||
\(120\) | 5.27748 | + | 4.42833i | 0.481766 | + | 0.404249i | ||||
\(121\) | 17.9527 | 1.63207 | ||||||||
\(122\) | −0.885557 | −0.0801746 | ||||||||
\(123\) | −16.7975 | − | 14.0948i | −1.51458 | − | 1.27088i | ||||
\(124\) | −6.16777 | + | 2.24488i | −0.553882 | + | 0.201597i | ||||
\(125\) | −7.64528 | + | 4.41400i | −0.683814 | + | 0.394800i | ||||
\(126\) | −6.99008 | + | 7.49631i | −0.622726 | + | 0.667824i | ||||
\(127\) | 8.08727 | − | 9.63803i | 0.717629 | − | 0.855237i | −0.276769 | − | 0.960936i | \(-0.589264\pi\) |
0.994398 | + | 0.105699i | \(0.0337081\pi\) | |||||||
\(128\) | 10.7783 | − | 1.90050i | 0.952675 | − | 0.167982i | ||||
\(129\) | 5.85635 | − | 33.2130i | 0.515623 | − | 2.92424i | ||||
\(130\) | 0.102546 | + | 0.581569i | 0.00899391 | + | 0.0510070i | ||||
\(131\) | −7.42454 | − | 8.84822i | −0.648685 | − | 0.773073i | 0.337030 | − | 0.941494i | \(-0.390578\pi\) |
−0.985715 | + | 0.168421i | \(0.946133\pi\) | |||||||
\(132\) | −24.6555 | −2.14599 | ||||||||
\(133\) | 9.30489 | + | 6.81315i | 0.806837 | + | 0.590775i | ||||
\(134\) | 2.03271 | 0.175599 | ||||||||
\(135\) | 5.12769 | + | 6.11094i | 0.441321 | + | 0.525946i | ||||
\(136\) | 0.511167 | + | 2.89897i | 0.0438322 | + | 0.248585i | ||||
\(137\) | −0.879631 | + | 4.98863i | −0.0751519 | + | 0.426208i | 0.923898 | + | 0.382638i | \(0.124984\pi\) |
−0.999050 | + | 0.0435699i | \(0.986127\pi\) | |||||||
\(138\) | −7.65996 | + | 1.35066i | −0.652059 | + | 0.114976i | ||||
\(139\) | −3.06915 | + | 3.65767i | −0.260322 | + | 0.310240i | −0.880336 | − | 0.474351i | \(-0.842683\pi\) |
0.620014 | + | 0.784591i | \(0.287127\pi\) | |||||||
\(140\) | 3.89357 | + | 0.898802i | 0.329067 | + | 0.0759626i | ||||
\(141\) | 18.1585 | − | 10.4838i | 1.52922 | − | 0.882897i | ||||
\(142\) | −2.60038 | + | 0.946462i | −0.218219 | + | 0.0794253i | ||||
\(143\) | −3.71075 | − | 3.11369i | −0.310309 | − | 0.260380i | ||||
\(144\) | 8.59821 | 0.716518 | ||||||||
\(145\) | 1.09346 | 0.0908070 | ||||||||
\(146\) | 3.10112 | + | 2.60215i | 0.256650 | + | 0.215355i | ||||
\(147\) | −5.71041 | + | 19.9182i | −0.470986 | + | 1.64283i | ||||
\(148\) | 4.01310 | + | 11.0259i | 0.329875 | + | 0.906323i | ||||
\(149\) | −14.0256 | − | 5.10490i | −1.14902 | − | 0.418209i | −0.303857 | − | 0.952717i | \(-0.598275\pi\) |
−0.845163 | + | 0.534508i | \(0.820497\pi\) | |||||||
\(150\) | 2.75538 | − | 7.57034i | 0.224976 | − | 0.618115i | ||||
\(151\) | 11.2899 | + | 6.51822i | 0.918758 | + | 0.530445i | 0.883239 | − | 0.468924i | \(-0.155358\pi\) |
0.0355195 | + | 0.999369i | \(0.488691\pi\) | |||||||
\(152\) | 1.22872 | + | 10.3248i | 0.0996620 | + | 0.837455i | ||||
\(153\) | 7.11074i | 0.574869i | ||||||||
\(154\) | 8.52803 | − | 4.34551i | 0.687208 | − | 0.350171i | ||||
\(155\) | −2.65921 | − | 3.16912i | −0.213593 | − | 0.254550i | ||||
\(156\) | 3.16000 | + | 2.65155i | 0.253002 | + | 0.212294i | ||||
\(157\) | −5.66581 | − | 6.75225i | −0.452181 | − | 0.538888i | 0.491004 | − | 0.871157i | \(-0.336630\pi\) |
−0.943185 | + | 0.332269i | \(0.892186\pi\) | |||||||
\(158\) | 8.81511 | − | 3.20844i | 0.701292 | − | 0.255250i | ||||
\(159\) | 3.78258i | 0.299978i | ||||||||
\(160\) | 2.81681 | + | 4.87885i | 0.222688 | + | 0.385707i | ||||
\(161\) | −8.25811 | + | 6.22325i | −0.650830 | + | 0.490461i | ||||
\(162\) | −4.57891 | − | 0.807386i | −0.359753 | − | 0.0634342i | ||||
\(163\) | 4.07343 | − | 7.05538i | 0.319055 | − | 0.552620i | −0.661236 | − | 0.750178i | \(-0.729968\pi\) |
0.980291 | + | 0.197558i | \(0.0633011\pi\) | |||||||
\(164\) | −5.73352 | − | 9.93074i | −0.447712 | − | 0.775461i | ||||
\(165\) | −5.31506 | − | 14.6030i | −0.413777 | − | 1.13684i | ||||
\(166\) | 0.985256 | + | 5.58766i | 0.0764707 | + | 0.433687i | ||||
\(167\) | −23.2908 | + | 8.47715i | −1.80229 | + | 0.655981i | −0.804194 | + | 0.594367i | \(0.797403\pi\) |
−0.998100 | + | 0.0616149i | \(0.980375\pi\) | |||||||
\(168\) | −16.6452 | + | 8.48167i | −1.28421 | + | 0.654375i | ||||
\(169\) | −2.11669 | − | 12.0044i | −0.162823 | − | 0.923413i | ||||
\(170\) | −0.701052 | + | 0.404752i | −0.0537682 | + | 0.0310431i | ||||
\(171\) | −1.40790 | + | 25.0770i | −0.107665 | + | 1.91769i | ||||
\(172\) | 8.81836 | − | 15.2738i | 0.672393 | − | 1.16462i | ||||
\(173\) | −5.54337 | + | 4.65144i | −0.421455 | + | 0.353642i | −0.828716 | − | 0.559669i | \(-0.810928\pi\) |
0.407261 | + | 0.913312i | \(0.366484\pi\) | |||||||
\(174\) | −1.70857 | + | 1.43366i | −0.129527 | + | 0.108686i | ||||
\(175\) | −1.30549 | − | 10.6303i | −0.0986861 | − | 0.803572i | ||||
\(176\) | −7.54496 | − | 2.74614i | −0.568723 | − | 0.206998i | ||||
\(177\) | 4.30991 | − | 24.4427i | 0.323952 | − | 1.83723i | ||||
\(178\) | 2.76345 | − | 1.59548i | 0.207129 | − | 0.119586i | ||||
\(179\) | − | 1.87430i | − | 0.140092i | −0.997544 | − | 0.0700460i | \(-0.977685\pi\) | ||
0.997544 | − | 0.0700460i | \(-0.0223146\pi\) | |||||||
\(180\) | 2.97650 | + | 8.17788i | 0.221855 | + | 0.609543i | ||||
\(181\) | 0.677074 | − | 3.83988i | 0.0503265 | − | 0.285416i | −0.949250 | − | 0.314523i | \(-0.898155\pi\) |
0.999576 | + | 0.0291074i | \(0.00926647\pi\) | |||||||
\(182\) | −1.56034 | − | 0.360192i | −0.115660 | − | 0.0266992i | ||||
\(183\) | −3.37654 | − | 1.94945i | −0.249601 | − | 0.144107i | ||||
\(184\) | −9.18127 | − | 1.61891i | −0.676852 | − | 0.119347i | ||||
\(185\) | −5.66532 | + | 4.75377i | −0.416523 | + | 0.349504i | ||||
\(186\) | 8.31022 | + | 1.46532i | 0.609335 | + | 0.107442i | ||||
\(187\) | 2.27106 | − | 6.23969i | 0.166076 | − | 0.456291i | ||||
\(188\) | 10.7985 | − | 1.90406i | 0.787558 | − | 0.138868i | ||||
\(189\) | −20.6866 | + | 6.32507i | −1.50473 | + | 0.460081i | ||||
\(190\) | −2.55250 | + | 1.28861i | −0.185177 | + | 0.0934855i | ||||
\(191\) | 4.10210 | + | 7.10504i | 0.296817 | + | 0.514102i | 0.975406 | − | 0.220416i | \(-0.0707415\pi\) |
−0.678589 | + | 0.734518i | \(0.737408\pi\) | |||||||
\(192\) | −2.49683 | − | 0.908770i | −0.180193 | − | 0.0655848i | ||||
\(193\) | −1.94971 | + | 0.343786i | −0.140343 | + | 0.0247463i | −0.243378 | − | 0.969931i | \(-0.578256\pi\) |
0.103035 | + | 0.994678i | \(0.467145\pi\) | |||||||
\(194\) | −5.28729 | + | 6.30115i | −0.379605 | + | 0.452396i | ||||
\(195\) | −0.889256 | + | 2.44321i | −0.0636810 | + | 0.174962i | ||||
\(196\) | −6.36873 | + | 8.76670i | −0.454909 | + | 0.626193i | ||||
\(197\) | 9.72142 | − | 16.8380i | 0.692623 | − | 1.19966i | −0.278353 | − | 0.960479i | \(-0.589788\pi\) |
0.970976 | − | 0.239179i | \(-0.0768782\pi\) | |||||||
\(198\) | 18.0525 | + | 10.4226i | 1.28293 | + | 0.740702i | ||||
\(199\) | 1.42527 | − | 1.69857i | 0.101035 | − | 0.120409i | −0.713158 | − | 0.701004i | \(-0.752736\pi\) |
0.814192 | + | 0.580595i | \(0.197180\pi\) | |||||||
\(200\) | 6.20688 | − | 7.39707i | 0.438893 | − | 0.523052i | ||||
\(201\) | 7.75052 | + | 4.47476i | 0.546680 | + | 0.315626i | ||||
\(202\) | 6.24757 | − | 10.8211i | 0.439577 | − | 0.761370i | ||||
\(203\) | −1.15850 | + | 2.72945i | −0.0813111 | + | 0.191570i | ||||
\(204\) | −1.93399 | + | 5.31359i | −0.135406 | + | 0.372026i | ||||
\(205\) | 4.64581 | − | 5.53666i | 0.324477 | − | 0.386697i | ||||
\(206\) | 4.14537 | − | 0.730941i | 0.288822 | − | 0.0509271i | ||||
\(207\) | −21.1621 | − | 7.70238i | −1.47087 | − | 0.535352i | ||||
\(208\) | 0.671676 | + | 1.16338i | 0.0465723 | + | 0.0806656i | ||||
\(209\) | 9.24465 | − | 21.5555i | 0.639466 | − | 1.49102i | ||||
\(210\) | −3.75732 | − | 3.50358i | −0.259279 | − | 0.241770i | ||||
\(211\) | −18.6256 | + | 3.28420i | −1.28224 | + | 0.226094i | −0.772931 | − | 0.634490i | \(-0.781210\pi\) |
−0.509310 | + | 0.860583i | \(0.670099\pi\) | |||||||
\(212\) | −0.676551 | + | 1.85881i | −0.0464657 | + | 0.127664i | ||||
\(213\) | −11.9985 | − | 2.11566i | −0.822126 | − | 0.144963i | ||||
\(214\) | −5.15040 | + | 4.32170i | −0.352074 | + | 0.295425i | ||||
\(215\) | 10.9474 | + | 1.93032i | 0.746608 | + | 0.131647i | ||||
\(216\) | −16.8903 | − | 9.75162i | −1.14924 | − | 0.663513i | ||||
\(217\) | 10.7280 | − | 3.28017i | 0.728265 | − | 0.222672i | ||||
\(218\) | 0.818728 | − | 4.64324i | 0.0554513 | − | 0.314480i | ||||
\(219\) | 6.09595 | + | 16.7485i | 0.411926 | + | 1.13176i | ||||
\(220\) | − | 8.12676i | − | 0.547906i | ||||||
\(221\) | −0.962114 | + | 0.555477i | −0.0647188 | + | 0.0373654i | ||||
\(222\) | 2.61949 | − | 14.8559i | 0.175809 | − | 0.997061i | ||||
\(223\) | 2.95629 | + | 1.07600i | 0.197968 | + | 0.0720545i | 0.439101 | − | 0.898438i | \(-0.355297\pi\) |
−0.241133 | + | 0.970492i | \(0.577519\pi\) | |||||||
\(224\) | −15.1627 | + | 1.86212i | −1.01310 | + | 0.124418i | ||||
\(225\) | 17.8682 | − | 14.9932i | 1.19122 | − | 0.999548i | ||||
\(226\) | 6.18442 | − | 5.18934i | 0.411381 | − | 0.345190i | ||||
\(227\) | 4.98731 | − | 8.63828i | 0.331019 | − | 0.573343i | −0.651693 | − | 0.758483i | \(-0.725941\pi\) |
0.982712 | + | 0.185141i | \(0.0592741\pi\) | |||||||
\(228\) | −7.87255 | + | 18.3562i | −0.521372 | + | 1.21567i | ||||
\(229\) | −21.9450 | + | 12.6699i | −1.45017 | + | 0.837253i | −0.998490 | − | 0.0549290i | \(-0.982507\pi\) |
−0.451675 | + | 0.892182i | \(0.649173\pi\) | |||||||
\(230\) | −0.445193 | − | 2.52481i | −0.0293551 | − | 0.166481i | ||||
\(231\) | 42.0827 | + | 2.20443i | 2.76884 | + | 0.145041i | ||||
\(232\) | −2.51213 | + | 0.914340i | −0.164929 | + | 0.0600294i | ||||
\(233\) | −0.721538 | − | 4.09204i | −0.0472695 | − | 0.268079i | 0.952008 | − | 0.306072i | \(-0.0990147\pi\) |
−0.999278 | + | 0.0379929i | \(0.987904\pi\) | |||||||
\(234\) | −1.19282 | − | 3.27726i | −0.0779773 | − | 0.214241i | ||||
\(235\) | 3.45559 | + | 5.98526i | 0.225418 | + | 0.390436i | ||||
\(236\) | 6.48975 | − | 11.2406i | 0.422447 | − | 0.731700i | ||||
\(237\) | 40.6742 | + | 7.17195i | 2.64207 | + | 0.465868i | ||||
\(238\) | −0.267572 | − | 2.17876i | −0.0173441 | − | 0.141228i | ||||
\(239\) | −7.34008 | − | 12.7134i | −0.474791 | − | 0.822361i | 0.524793 | − | 0.851230i | \(-0.324143\pi\) |
−0.999583 | + | 0.0288686i | \(0.990810\pi\) | |||||||
\(240\) | 4.30961i | 0.278184i | ||||||||
\(241\) | −3.64330 | + | 1.32605i | −0.234686 | + | 0.0854186i | −0.456686 | − | 0.889628i | \(-0.650964\pi\) |
0.222000 | + | 0.975047i | \(0.428741\pi\) | |||||||
\(242\) | −7.75849 | − | 9.24621i | −0.498734 | − | 0.594369i | ||||
\(243\) | 3.10818 | + | 2.60808i | 0.199390 | + | 0.167308i | ||||
\(244\) | −1.31060 | − | 1.56191i | −0.0839025 | − | 0.0999911i | ||||
\(245\) | −6.56528 | − | 1.88222i | −0.419440 | − | 0.120251i | ||||
\(246\) | 14.7424i | 0.939944i | ||||||||
\(247\) | −3.50301 | + | 1.76847i | −0.222891 | + | 0.112525i | ||||
\(248\) | 8.75927 | + | 5.05717i | 0.556214 | + | 0.321131i | ||||
\(249\) | −8.54389 | + | 23.4742i | −0.541447 | + | 1.48761i | ||||
\(250\) | 5.57735 | + | 2.02999i | 0.352742 | + | 0.128388i | ||||
\(251\) | −1.30689 | − | 3.59065i | −0.0824901 | − | 0.226640i | 0.891590 | − | 0.452844i | \(-0.149591\pi\) |
−0.974080 | + | 0.226204i | \(0.927368\pi\) | |||||||
\(252\) | −23.5668 | − | 1.23451i | −1.48457 | − | 0.0777668i | ||||
\(253\) | 16.1098 | + | 13.5177i | 1.01281 | + | 0.849851i | ||||
\(254\) | −8.45890 | −0.530758 | ||||||||
\(255\) | −3.56406 | −0.223190 | ||||||||
\(256\) | −7.01204 | − | 5.88380i | −0.438252 | − | 0.367737i | ||||
\(257\) | −10.9048 | + | 3.96903i | −0.680224 | + | 0.247581i | −0.658944 | − | 0.752192i | \(-0.728996\pi\) |
−0.0212803 | + | 0.999774i | \(0.506774\pi\) | |||||||
\(258\) | −19.6366 | + | 11.3372i | −1.22252 | + | 0.705824i | ||||
\(259\) | −5.86383 | − | 19.1781i | −0.364361 | − | 1.19167i | ||||
\(260\) | −0.873984 | + | 1.04157i | −0.0542022 | + | 0.0645956i | ||||
\(261\) | −6.35959 | + | 1.12137i | −0.393649 | + | 0.0694109i | ||||
\(262\) | −1.34850 | + | 7.64774i | −0.0833107 | + | 0.472479i | ||||
\(263\) | −3.05653 | − | 17.3344i | −0.188473 | − | 1.06889i | −0.921411 | − | 0.388590i | \(-0.872962\pi\) |
0.732937 | − | 0.680296i | \(-0.238149\pi\) | |||||||
\(264\) | 24.4218 | + | 29.1047i | 1.50306 | + | 1.79127i | ||||
\(265\) | −1.24678 | −0.0765894 | ||||||||
\(266\) | −0.512243 | − | 7.73669i | −0.0314076 | − | 0.474367i | ||||
\(267\) | 14.0490 | 0.859786 | ||||||||
\(268\) | 3.00835 | + | 3.58521i | 0.183764 | + | 0.219002i | ||||
\(269\) | 3.41151 | + | 19.3476i | 0.208003 | + | 1.17965i | 0.892643 | + | 0.450764i | \(0.148848\pi\) |
−0.684640 | + | 0.728882i | \(0.740040\pi\) | |||||||
\(270\) | 0.931330 | − | 5.28183i | 0.0566789 | − | 0.321442i | ||||
\(271\) | 12.8903 | − | 2.27292i | 0.783033 | − | 0.138070i | 0.232181 | − | 0.972673i | \(-0.425414\pi\) |
0.550852 | + | 0.834603i | \(0.314303\pi\) | |||||||
\(272\) | −1.18366 | + | 1.41063i | −0.0717698 | + | 0.0855320i | ||||
\(273\) | −5.15649 | − | 4.80827i | −0.312085 | − | 0.291010i | ||||
\(274\) | 2.94944 | − | 1.70286i | 0.178182 | − | 0.102874i | ||||
\(275\) | −20.4680 | + | 7.44976i | −1.23427 | + | 0.449237i | ||||
\(276\) | −13.7188 | − | 11.5114i | −0.825772 | − | 0.692905i | ||||
\(277\) | 0.442632 | 0.0265952 | 0.0132976 | − | 0.999912i | \(-0.495767\pi\) | ||||
0.0132976 | + | 0.999912i | \(0.495767\pi\) | |||||||
\(278\) | 3.21019 | 0.192534 | ||||||||
\(279\) | 18.7160 | + | 15.7046i | 1.12050 | + | 0.940209i | ||||
\(280\) | −2.79566 | − | 5.48646i | −0.167073 | − | 0.327879i | ||||
\(281\) | 1.16804 | + | 3.20916i | 0.0696793 | + | 0.191442i | 0.969644 | − | 0.244520i | \(-0.0786304\pi\) |
−0.899965 | + | 0.435962i | \(0.856408\pi\) | |||||||
\(282\) | −13.2469 | − | 4.82148i | −0.788842 | − | 0.287115i | ||||
\(283\) | −4.62844 | + | 12.7165i | −0.275132 | + | 0.755919i | 0.722765 | + | 0.691094i | \(0.242871\pi\) |
−0.997897 | + | 0.0648249i | \(0.979351\pi\) | |||||||
\(284\) | −5.51782 | − | 3.18572i | −0.327423 | − | 0.189037i | ||||
\(285\) | −12.5691 | − | 0.705671i | −0.744532 | − | 0.0418003i | ||||
\(286\) | 3.25677i | 0.192577i | ||||||||
\(287\) | 8.89821 | + | 17.4627i | 0.525244 | + | 1.03079i | ||||
\(288\) | −21.3860 | − | 25.4868i | −1.26018 | − | 1.50182i | ||||
\(289\) | 11.8562 | + | 9.94850i | 0.697421 | + | 0.585206i | ||||
\(290\) | −0.472553 | − | 0.563166i | −0.0277492 | − | 0.0330703i | ||||
\(291\) | −34.0312 | + | 12.3863i | −1.99494 | + | 0.726100i | ||||
\(292\) | 9.32073i | 0.545455i | ||||||||
\(293\) | −2.05942 | − | 3.56701i | −0.120312 | − | 0.208387i | 0.799578 | − | 0.600562i | \(-0.205056\pi\) |
−0.919891 | + | 0.392174i | \(0.871723\pi\) | |||||||
\(294\) | 12.7263 | − | 5.66686i | 0.742214 | − | 0.330498i | ||||
\(295\) | 8.05661 | + | 1.42060i | 0.469074 | + | 0.0827104i | ||||
\(296\) | 9.04051 | − | 15.6586i | 0.525469 | − | 0.910139i | ||||
\(297\) | 21.9969 | + | 38.0997i | 1.27639 | + | 2.21077i | ||||
\(298\) | 3.43215 | + | 9.42975i | 0.198819 | + | 0.546251i | ||||
\(299\) | −0.610977 | − | 3.46502i | −0.0353337 | − | 0.200387i | ||||
\(300\) | 17.4301 | − | 6.34405i | 1.00633 | − | 0.366274i | ||||
\(301\) | −16.4170 | + | 25.2813i | −0.946261 | + | 1.45719i | ||||
\(302\) | −1.52198 | − | 8.63157i | −0.0875800 | − | 0.496691i | ||||
\(303\) | 47.6428 | − | 27.5066i | 2.73700 | − | 1.58021i | ||||
\(304\) | −4.45363 | + | 4.74042i | −0.255433 | + | 0.271882i | ||||
\(305\) | 0.642562 | − | 1.11295i | 0.0367930 | − | 0.0637273i | ||||
\(306\) | 3.66225 | − | 3.07299i | 0.209357 | − | 0.175671i | ||||
\(307\) | −1.89802 | + | 1.59263i | −0.108326 | + | 0.0908960i | −0.695342 | − | 0.718679i | \(-0.744747\pi\) |
0.587016 | + | 0.809575i | \(0.300303\pi\) | |||||||
\(308\) | 20.2857 | + | 8.61017i | 1.15588 | + | 0.490610i | ||||
\(309\) | 17.4150 | + | 6.33854i | 0.990704 | + | 0.360587i | ||||
\(310\) | −0.482986 | + | 2.73915i | −0.0274317 | + | 0.155573i | ||||
\(311\) | 11.4970 | − | 6.63778i | 0.651934 | − | 0.376394i | −0.137263 | − | 0.990535i | \(-0.543831\pi\) |
0.789197 | + | 0.614141i | \(0.210497\pi\) | |||||||
\(312\) | − | 6.35665i | − | 0.359874i | ||||||
\(313\) | −0.314524 | − | 0.864147i | −0.0177779 | − | 0.0488445i | 0.930486 | − | 0.366327i | \(-0.119385\pi\) |
−0.948264 | + | 0.317482i | \(0.897163\pi\) | |||||||
\(314\) | −1.02907 | + | 5.83613i | −0.0580736 | + | 0.329352i | ||||
\(315\) | −4.34919 | − | 14.2243i | −0.245049 | − | 0.801450i | ||||
\(316\) | 18.7050 | + | 10.7994i | 1.05224 | + | 0.607511i | ||||
\(317\) | 10.9347 | + | 1.92808i | 0.614153 | + | 0.108292i | 0.472067 | − | 0.881563i | \(-0.343508\pi\) |
0.142086 | + | 0.989854i | \(0.454619\pi\) | |||||||
\(318\) | 1.94815 | − | 1.63469i | 0.109247 | − | 0.0916688i | ||||
\(319\) | 5.93871 | + | 1.04715i | 0.332504 | + | 0.0586294i | ||||
\(320\) | 0.299542 | − | 0.822984i | 0.0167449 | − | 0.0460062i | ||||
\(321\) | −29.1517 | + | 5.14023i | −1.62709 | + | 0.286900i | ||||
\(322\) | 6.77401 | + | 1.56373i | 0.377501 | + | 0.0871432i | ||||
\(323\) | −3.92033 | − | 3.68316i | −0.218133 | − | 0.204937i | ||||
\(324\) | −5.35262 | − | 9.27102i | −0.297368 | − | 0.515056i | ||||
\(325\) | 3.42448 | + | 1.24641i | 0.189956 | + | 0.0691383i | ||||
\(326\) | −5.39412 | + | 0.951129i | −0.298753 | + | 0.0526782i | ||||
\(327\) | 13.3433 | − | 15.9019i | 0.737885 | − | 0.879377i | ||||
\(328\) | −6.04363 | + | 16.6047i | −0.333704 | + | 0.916843i | ||||
\(329\) | −18.6013 | + | 2.28441i | −1.02552 | + | 0.125944i | ||||
\(330\) | −5.22403 | + | 9.04829i | −0.287574 | + | 0.498092i | ||||
\(331\) | −28.1236 | − | 16.2372i | −1.54581 | − | 0.892476i | −0.998454 | − | 0.0555787i | \(-0.982300\pi\) |
−0.547360 | − | 0.836897i | \(-0.684367\pi\) | |||||||
\(332\) | −8.39716 | + | 10.0073i | −0.460854 | + | 0.549224i | ||||
\(333\) | 28.0745 | − | 33.4579i | 1.53847 | − | 1.83348i | ||||
\(334\) | 14.4314 | + | 8.33196i | 0.789650 | + | 0.455905i | ||||
\(335\) | −1.47494 | + | 2.55467i | −0.0805844 | + | 0.139576i | ||||
\(336\) | −10.7575 | − | 4.56597i | −0.586868 | − | 0.249094i | ||||
\(337\) | 4.41763 | − | 12.1373i | 0.240644 | − | 0.661163i | −0.759302 | − | 0.650738i | \(-0.774460\pi\) |
0.999946 | − | 0.0104244i | \(-0.00331824\pi\) | |||||||
\(338\) | −5.26786 | + | 6.27799i | −0.286534 | + | 0.341478i | ||||
\(339\) | 35.0043 | − | 6.17221i | 1.90117 | − | 0.335228i | ||||
\(340\) | −1.75142 | − | 0.637466i | −0.0949843 | − | 0.0345714i | ||||
\(341\) | −11.4075 | − | 19.7584i | −0.617753 | − | 1.06998i | ||||
\(342\) | 13.5239 | − | 10.1122i | 0.731287 | − | 0.546806i | ||||
\(343\) | 11.6541 | − | 14.3938i | 0.629264 | − | 0.777192i | ||||
\(344\) | −26.7648 | + | 4.71936i | −1.44306 | + | 0.254451i | ||||
\(345\) | 3.86060 | − | 10.6069i | 0.207848 | − | 0.571057i | ||||
\(346\) | 4.79127 | + | 0.844830i | 0.257580 | + | 0.0454184i | ||||
\(347\) | 10.7138 | − | 8.98996i | 0.575148 | − | 0.482606i | −0.308202 | − | 0.951321i | \(-0.599727\pi\) |
0.883350 | + | 0.468715i | \(0.155283\pi\) | |||||||
\(348\) | −5.05728 | − | 0.891734i | −0.271099 | − | 0.0478020i | ||||
\(349\) | 15.5386 | + | 8.97121i | 0.831762 | + | 0.480218i | 0.854456 | − | 0.519525i | \(-0.173891\pi\) |
−0.0226937 | + | 0.999742i | \(0.507224\pi\) | |||||||
\(350\) | −4.91073 | + | 5.26637i | −0.262489 | + | 0.281499i | ||||
\(351\) | 1.27814 | − | 7.24871i | 0.0682223 | − | 0.386908i | ||||
\(352\) | 10.6261 | + | 29.1951i | 0.566375 | + | 1.55610i | ||||
\(353\) | 26.1591i | 1.39231i | 0.717893 | + | 0.696153i | \(0.245107\pi\) | ||||
−0.717893 | + | 0.696153i | \(0.754893\pi\) | |||||||
\(354\) | −14.4513 | + | 8.34347i | −0.768079 | + | 0.443451i | ||||
\(355\) | 0.697349 | − | 3.95486i | 0.0370114 | − | 0.209902i | ||||
\(356\) | 6.90387 | + | 2.51280i | 0.365904 | + | 0.133178i | ||||
\(357\) | 3.77606 | − | 8.89645i | 0.199850 | − | 0.470850i | ||||
\(358\) | −0.965324 | + | 0.810003i | −0.0510190 | + | 0.0428100i | ||||
\(359\) | 8.20897 | − | 6.88815i | 0.433253 | − | 0.363543i | −0.399924 | − | 0.916548i | \(-0.630964\pi\) |
0.833178 | + | 0.553006i | \(0.186519\pi\) | |||||||
\(360\) | 6.70533 | − | 11.6140i | 0.353402 | − | 0.612110i | ||||
\(361\) | −13.0963 | − | 13.7654i | −0.689281 | − | 0.724494i | ||||
\(362\) | −2.27026 | + | 1.31074i | −0.119322 | + | 0.0688908i | ||||
\(363\) | −9.22795 | − | 52.3343i | −0.484342 | − | 2.74684i | ||||
\(364\) | −1.67396 | − | 3.28513i | −0.0877393 | − | 0.172188i | ||||
\(365\) | −5.52050 | + | 2.00930i | −0.288956 | + | 0.105171i | ||||
\(366\) | 0.455188 | + | 2.58150i | 0.0237931 | + | 0.134937i | ||||
\(367\) | −7.02316 | − | 19.2960i | −0.366606 | − | 1.00724i | −0.976643 | − | 0.214869i | \(-0.931068\pi\) |
0.610037 | − | 0.792373i | \(-0.291155\pi\) | |||||||
\(368\) | −2.91600 | − | 5.05066i | −0.152007 | − | 0.263284i | ||||
\(369\) | −21.3421 | + | 36.9657i | −1.11103 | + | 1.92436i | ||||
\(370\) | 4.89667 | + | 0.863416i | 0.254566 | + | 0.0448868i | ||||
\(371\) | 1.32095 | − | 3.11217i | 0.0685802 | − | 0.161576i | ||||
\(372\) | 9.71442 | + | 16.8259i | 0.503669 | + | 0.872380i | ||||
\(373\) | 0.636127i | 0.0329374i | 0.999864 | + | 0.0164687i | \(0.00524239\pi\) | ||||
−0.999864 | + | 0.0164687i | \(0.994758\pi\) | |||||||
\(374\) | −4.19510 | + | 1.52689i | −0.216923 | + | 0.0789537i | ||||
\(375\) | 16.7971 | + | 20.0180i | 0.867399 | + | 1.03373i | ||||
\(376\) | −12.9437 | − | 10.8611i | −0.667522 | − | 0.560117i | ||||
\(377\) | −0.648525 | − | 0.772882i | −0.0334007 | − | 0.0398054i | ||||
\(378\) | 12.1976 | + | 7.92076i | 0.627375 | + | 0.407400i | ||||
\(379\) | 22.9830i | 1.18056i | 0.807200 | + | 0.590278i | \(0.200982\pi\) | ||||
−0.807200 | + | 0.590278i | \(0.799018\pi\) | |||||||
\(380\) | −6.05042 | − | 2.59489i | −0.310380 | − | 0.133115i | ||||
\(381\) | −32.2530 | − | 18.6213i | −1.65237 | − | 0.953996i | ||||
\(382\) | 1.88654 | − | 5.18323i | 0.0965239 | − | 0.265197i | ||||
\(383\) | −33.1798 | − | 12.0765i | −1.69541 | − | 0.617078i | −0.700119 | − | 0.714026i | \(-0.746870\pi\) |
−0.995289 | + | 0.0969484i | \(0.969092\pi\) | |||||||
\(384\) | −11.0804 | − | 30.4431i | −0.565443 | − | 1.55354i | ||||
\(385\) | −0.726608 | + | 13.8710i | −0.0370314 | + | 0.706929i | ||||
\(386\) | 1.01965 | + | 0.855589i | 0.0518989 | + | 0.0435483i | ||||
\(387\) | −65.6500 | −3.33718 | ||||||||
\(388\) | −18.9388 | −0.961470 | ||||||||
\(389\) | −5.71344 | − | 4.79414i | −0.289683 | − | 0.243073i | 0.486352 | − | 0.873763i | \(-0.338327\pi\) |
−0.776035 | + | 0.630690i | \(0.782772\pi\) | |||||||
\(390\) | 1.64263 | − | 0.597869i | 0.0831779 | − | 0.0302743i | ||||
\(391\) | 4.17690 | − | 2.41154i | 0.211235 | − | 0.121957i | ||||
\(392\) | 16.6570 | − | 1.16559i | 0.841307 | − | 0.0588710i | ||||
\(393\) | −21.9773 | + | 26.1915i | −1.10861 | + | 1.32119i | ||||
\(394\) | −12.8733 | + | 2.26991i | −0.648549 | + | 0.114357i | ||||
\(395\) | −2.36396 | + | 13.4067i | −0.118944 | + | 0.674564i | ||||
\(396\) | 8.33416 | + | 47.2654i | 0.418807 | + | 2.37517i | ||||
\(397\) | −17.3630 | − | 20.6924i | −0.871425 | − | 1.03852i | −0.998910 | − | 0.0466837i | \(-0.985135\pi\) |
0.127484 | − | 0.991841i | \(-0.459310\pi\) | |||||||
\(398\) | −1.49077 | −0.0747253 | ||||||||
\(399\) | 15.0783 | − | 30.6269i | 0.754858 | − | 1.53326i | ||||
\(400\) | 6.04049 | 0.302024 | ||||||||
\(401\) | 21.5699 | + | 25.7060i | 1.07715 | + | 1.28370i | 0.956731 | + | 0.290975i | \(0.0939795\pi\) |
0.120420 | + | 0.992723i | \(0.461576\pi\) | |||||||
\(402\) | −1.04484 | − | 5.92558i | −0.0521119 | − | 0.295541i | ||||
\(403\) | −0.662843 | + | 3.75917i | −0.0330186 | + | 0.187258i | ||||
\(404\) | 28.3321 | − | 4.99571i | 1.40957 | − | 0.248546i | ||||
\(405\) | 4.33717 | − | 5.16884i | 0.215516 | − | 0.256842i | ||||
\(406\) | 1.90641 | − | 0.582900i | 0.0946137 | − | 0.0289288i | ||||
\(407\) | −35.3214 | + | 20.3928i | −1.75082 | + | 1.01084i | ||||
\(408\) | 8.18810 | − | 2.98023i | 0.405371 | − | 0.147543i | ||||
\(409\) | −8.53318 | − | 7.16019i | −0.421939 | − | 0.354049i | 0.406961 | − | 0.913445i | \(-0.366588\pi\) |
−0.828900 | + | 0.559397i | \(0.811033\pi\) | |||||||
\(410\) | −4.85929 | −0.239983 | ||||||||
\(411\) | 14.9946 | 0.739629 | ||||||||
\(412\) | 7.42424 | + | 6.22968i | 0.365766 | + | 0.306914i | ||||
\(413\) | −12.0819 | + | 18.6055i | −0.594511 | + | 0.915515i | ||||
\(414\) | 5.17850 | + | 14.2278i | 0.254509 | + | 0.699259i | ||||
\(415\) | −7.73736 | − | 2.81617i | −0.379812 | − | 0.138240i | ||||
\(416\) | 1.77785 | − | 4.88459i | 0.0871661 | − | 0.239487i | ||||
\(417\) | 12.2401 | + | 7.06684i | 0.599402 | + | 0.346065i | ||||
\(418\) | −15.0969 | + | 4.55418i | −0.738414 | + | 0.222752i | ||||
\(419\) | − | 2.18170i | − | 0.106583i | −0.998579 | − | 0.0532914i | \(-0.983029\pi\) | ||
0.998579 | − | 0.0532914i | \(-0.0169712\pi\) | |||||||
\(420\) | 0.618764 | − | 11.8122i | 0.0301926 | − | 0.576377i | ||||
\(421\) | −12.0344 | − | 14.3421i | −0.586523 | − | 0.698990i | 0.388411 | − | 0.921486i | \(-0.373024\pi\) |
−0.974934 | + | 0.222496i | \(0.928580\pi\) | |||||||
\(422\) | 9.74076 | + | 8.17347i | 0.474173 | + | 0.397878i | ||||
\(423\) | −26.2358 | − | 31.2666i | −1.27563 | − | 1.52023i | ||||
\(424\) | 2.86438 | − | 1.04255i | 0.139106 | − | 0.0506306i | ||||
\(425\) | 4.99549i | 0.242317i | ||||||||
\(426\) | 4.09568 | + | 7.09392i | 0.198436 | + | 0.343702i | ||||
\(427\) | 2.09731 | + | 2.78309i | 0.101496 | + | 0.134683i | ||||
\(428\) | −15.2449 | − | 2.68809i | −0.736890 | − | 0.129934i | ||||
\(429\) | −7.16939 | + | 12.4178i | −0.346142 | + | 0.599535i | ||||
\(430\) | −3.73688 | − | 6.47247i | −0.180208 | − | 0.312130i | ||||
\(431\) | 1.47380 | + | 4.04924i | 0.0709905 | + | 0.195045i | 0.970114 | − | 0.242651i | \(-0.0780169\pi\) |
−0.899123 | + | 0.437696i | \(0.855795\pi\) | |||||||
\(432\) | −2.11857 | − | 12.0150i | −0.101930 | − | 0.578072i | ||||
\(433\) | −29.0851 | + | 10.5861i | −1.39774 | + | 0.508737i | −0.927508 | − | 0.373804i | \(-0.878053\pi\) |
−0.470235 | + | 0.882541i | \(0.655831\pi\) | |||||||
\(434\) | −6.32563 | − | 4.10769i | −0.303640 | − | 0.197176i | ||||
\(435\) | −0.562054 | − | 3.18757i | −0.0269484 | − | 0.152832i | ||||
\(436\) | 9.40126 | − | 5.42782i | 0.450239 | − | 0.259945i | ||||
\(437\) | 15.2079 | − | 7.67760i | 0.727492 | − | 0.367269i | ||||
\(438\) | 5.99154 | − | 10.3777i | 0.286287 | − | 0.495864i | ||||
\(439\) | 14.5429 | − | 12.2030i | 0.694097 | − | 0.582416i | −0.225991 | − | 0.974129i | \(-0.572562\pi\) |
0.920087 | + | 0.391713i | \(0.128117\pi\) | |||||||
\(440\) | −9.59327 | + | 8.04971i | −0.457341 | + | 0.383755i | ||||
\(441\) | 40.1141 | + | 4.21418i | 1.91019 | + | 0.200675i | ||||
\(442\) | 0.701877 | + | 0.255462i | 0.0333849 | + | 0.0121511i | ||||
\(443\) | −0.845949 | + | 4.79762i | −0.0401923 | + | 0.227942i | −0.998287 | − | 0.0585106i | \(-0.981365\pi\) |
0.958095 | + | 0.286452i | \(0.0924760\pi\) | |||||||
\(444\) | 30.0790 | − | 17.3661i | 1.42749 | − | 0.824159i | ||||
\(445\) | 4.63073i | 0.219518i | ||||||||
\(446\) | −0.723424 | − | 1.98759i | −0.0342551 | − | 0.0941151i | ||||
\(447\) | −7.67202 | + | 43.5102i | −0.362874 | + | 2.05796i | ||||
\(448\) | 1.73694 | + | 1.61964i | 0.0820626 | + | 0.0765209i | ||||
\(449\) | −14.0978 | − | 8.13935i | −0.665314 | − | 0.384119i | 0.128984 | − | 0.991647i | \(-0.458828\pi\) |
−0.794299 | + | 0.607527i | \(0.792162\pi\) | |||||||
\(450\) | −15.4439 | − | 2.72318i | −0.728035 | − | 0.128372i | ||||
\(451\) | 30.5341 | − | 25.6211i | 1.43779 | − | 1.20645i | ||||
\(452\) | 18.3055 | + | 3.22776i | 0.861020 | + | 0.151821i | ||||
\(453\) | 13.1982 | − | 36.2618i | 0.620106 | − | 1.70373i | ||||
\(454\) | −6.60431 | + | 1.16452i | −0.309955 | + | 0.0546535i | ||||
\(455\) | 1.58486 | − | 1.69964i | 0.0742996 | − | 0.0796804i | ||||
\(456\) | 29.4665 | − | 8.88896i | 1.37990 | − | 0.416264i | ||||
\(457\) | −14.8865 | − | 25.7843i | −0.696363 | − | 1.20614i | −0.969719 | − | 0.244223i | \(-0.921467\pi\) |
0.273356 | − | 0.961913i | \(-0.411866\pi\) | |||||||
\(458\) | 16.0092 | + | 5.82687i | 0.748061 | + | 0.272272i | ||||
\(459\) | 9.93643 | − | 1.75206i | 0.463793 | − | 0.0817792i | ||||
\(460\) | 3.79430 | − | 4.52187i | 0.176910 | − | 0.210833i | ||||
\(461\) | 8.26215 | − | 22.7001i | 0.384807 | − | 1.05725i | −0.584500 | − | 0.811394i | \(-0.698709\pi\) |
0.969307 | − | 0.245854i | \(-0.0790685\pi\) | |||||||
\(462\) | −17.0512 | − | 22.6265i | −0.793293 | − | 1.05268i | ||||
\(463\) | −0.371652 | + | 0.643720i | −0.0172721 | + | 0.0299162i | −0.874532 | − | 0.484967i | \(-0.838831\pi\) |
0.857260 | + | 0.514884i | \(0.172165\pi\) | |||||||
\(464\) | −1.44828 | − | 0.836165i | −0.0672347 | − | 0.0388180i | ||||
\(465\) | −7.87149 | + | 9.38087i | −0.365031 | + | 0.435028i | ||||
\(466\) | −1.79571 | + | 2.14004i | −0.0831845 | + | 0.0991355i | ||||
\(467\) | 13.6182 | + | 7.86249i | 0.630176 | + | 0.363833i | 0.780820 | − | 0.624756i | \(-0.214801\pi\) |
−0.150644 | + | 0.988588i | \(0.548135\pi\) | |||||||
\(468\) | 4.01495 | − | 6.95410i | 0.185591 | − | 0.321453i | ||||
\(469\) | −4.81417 | − | 6.38830i | −0.222298 | − | 0.294984i | ||||
\(470\) | 1.58922 | − | 4.36634i | 0.0733052 | − | 0.201404i | ||||
\(471\) | −16.7713 | + | 19.9872i | −0.772780 | + | 0.920963i | ||||
\(472\) | −19.6972 | + | 3.47315i | −0.906638 | + | 0.159865i | ||||
\(473\) | 57.6080 | + | 20.9676i | 2.64882 | + | 0.964092i | ||||
\(474\) | −13.8841 | − | 24.0479i | −0.637716 | − | 1.10456i | ||||
\(475\) | −0.989090 | + | 17.6173i | −0.0453826 | + | 0.808337i | ||||
\(476\) | 3.44682 | − | 3.69644i | 0.157985 | − | 0.169426i | ||||
\(477\) | 7.25132 | − | 1.27860i | 0.332015 | − | 0.0585432i | ||||
\(478\) | −3.37569 | + | 9.27462i | −0.154400 | + | 0.424211i | ||||
\(479\) | 2.41148 | + | 0.425209i | 0.110183 | + | 0.0194283i | 0.228468 | − | 0.973551i | \(-0.426628\pi\) |
−0.118285 | + | 0.992980i | \(0.537739\pi\) | |||||||
\(480\) | 12.7745 | − | 10.7191i | 0.583075 | − | 0.489258i | ||||
\(481\) | 6.72013 | + | 1.18494i | 0.306411 | + | 0.0540286i | ||||
\(482\) | 2.25746 | + | 1.30334i | 0.102824 | + | 0.0593657i | ||||
\(483\) | 22.3863 | + | 20.8745i | 1.01861 | + | 0.949824i | ||||
\(484\) | 4.82576 | − | 27.3682i | 0.219353 | − | 1.24401i | ||||
\(485\) | −4.08268 | − | 11.2171i | −0.185385 | − | 0.509341i | ||||
\(486\) | − | 2.72792i | − | 0.123741i | ||||||
\(487\) | 0.450068 | − | 0.259847i | 0.0203945 | − | 0.0117748i | −0.489768 | − | 0.871853i | \(-0.662919\pi\) |
0.510163 | + | 0.860078i | \(0.329585\pi\) | |||||||
\(488\) | −0.545592 | + | 3.09420i | −0.0246978 | + | 0.140068i | ||||
\(489\) | −22.6611 | − | 8.24795i | −1.02477 | − | 0.372985i | ||||
\(490\) | 1.86787 | + | 4.19475i | 0.0843816 | + | 0.189499i | ||||
\(491\) | 7.38459 | − | 6.19640i | 0.333262 | − | 0.279640i | −0.460766 | − | 0.887522i | \(-0.652425\pi\) |
0.794027 | + | 0.607882i | \(0.207981\pi\) | |||||||
\(492\) | −26.0022 | + | 21.8184i | −1.17227 | + | 0.983650i | ||||
\(493\) | 0.691510 | − | 1.19773i | 0.0311440 | − | 0.0539430i | ||||
\(494\) | 2.42468 | + | 1.03989i | 0.109092 | + | 0.0467870i | ||||
\(495\) | −26.1978 | + | 15.1253i | −1.17750 | + | 0.679832i | ||||
\(496\) | 1.09869 | + | 6.23096i | 0.0493325 | + | 0.279778i | ||||
\(497\) | 9.13312 | + | 5.93080i | 0.409677 | + | 0.266033i | ||||
\(498\) | 15.7823 | − | 5.74427i | 0.707220 | − | 0.257407i | ||||
\(499\) | 3.41390 | + | 19.3612i | 0.152827 | + | 0.866726i | 0.960745 | + | 0.277431i | \(0.0894831\pi\) |
−0.807918 | + | 0.589294i | \(0.799406\pi\) | |||||||
\(500\) | 4.67390 | + | 12.8414i | 0.209023 | + | 0.574286i | ||||
\(501\) | 36.6837 | + | 63.5380i | 1.63890 | + | 2.83867i | ||||
\(502\) | −1.28451 | + | 2.22483i | −0.0573303 | + | 0.0992991i | ||||
\(503\) | 22.8333 | + | 4.02612i | 1.01808 | + | 0.179516i | 0.657694 | − | 0.753285i | \(-0.271532\pi\) |
0.360391 | + | 0.932801i | \(0.382643\pi\) | |||||||
\(504\) | 21.8861 | + | 29.0424i | 0.974884 | + | 1.29365i | ||||
\(505\) | 9.06649 | + | 15.7036i | 0.403454 | + | 0.698802i | ||||
\(506\) | − | 14.1389i | − | 0.628550i | ||||||
\(507\) | −33.9061 | + | 12.3408i | −1.50582 | + | 0.548075i | ||||
\(508\) | −12.5189 | − | 14.9195i | −0.555437 | − | 0.661945i | ||||
\(509\) | 8.53942 | + | 7.16542i | 0.378503 | + | 0.317602i | 0.812114 | − | 0.583498i | \(-0.198316\pi\) |
−0.433611 | + | 0.901100i | \(0.642761\pi\) | |||||||
\(510\) | 1.54025 | + | 1.83560i | 0.0682035 | + | 0.0812817i | ||||
\(511\) | 0.833360 | − | 15.9089i | 0.0368657 | − | 0.703766i | ||||
\(512\) | − | 15.7350i | − | 0.695393i | ||||||
\(513\) | 35.3891 | − | 4.21150i | 1.56247 | − | 0.185942i | ||||
\(514\) | 6.75682 | + | 3.90105i | 0.298031 | + | 0.172068i | ||||
\(515\) | −2.08926 | + | 5.74019i | −0.0920637 | + | 0.252943i | ||||
\(516\) | −49.0578 | − | 17.8556i | −2.15965 | − | 0.786048i | ||||
\(517\) | 13.0359 | + | 35.8159i | 0.573319 | + | 1.57518i | ||||
\(518\) | −7.34317 | + | 11.3081i | −0.322640 | + | 0.496849i | ||||
\(519\) | 16.4089 | + | 13.7687i | 0.720269 | + | 0.604378i | ||||
\(520\) | 2.09523 | 0.0918818 | ||||||||
\(521\) | −19.4173 | −0.850686 | −0.425343 | − | 0.905032i | \(-0.639846\pi\) | ||||
−0.425343 | + | 0.905032i | \(0.639846\pi\) | |||||||
\(522\) | 3.32591 | + | 2.79077i | 0.145571 | + | 0.122149i | ||||
\(523\) | 35.0280 | − | 12.7492i | 1.53167 | − | 0.557482i | 0.567640 | − | 0.823277i | \(-0.307857\pi\) |
0.964029 | + | 0.265795i | \(0.0856345\pi\) | |||||||
\(524\) | −15.4845 | + | 8.93999i | −0.676445 | + | 0.390545i | ||||
\(525\) | −30.3174 | + | 9.26977i | −1.32316 | + | 0.404566i | ||||
\(526\) | −7.60685 | + | 9.06549i | −0.331674 | + | 0.395274i | ||||
\(527\) | −5.15301 | + | 0.908615i | −0.224469 | + | 0.0395799i | ||||
\(528\) | −4.12711 | + | 23.4060i | −0.179609 | + | 1.01861i | ||||
\(529\) | −1.34143 | − | 7.60761i | −0.0583229 | − | 0.330765i | ||||
\(530\) | 0.538813 | + | 0.642133i | 0.0234045 | + | 0.0278925i | ||||
\(531\) | −48.3142 | −2.09666 | ||||||||
\(532\) | 12.8876 | − | 12.3536i | 0.558747 | − | 0.535595i | ||||
\(533\) | −6.66882 | −0.288859 | ||||||||
\(534\) | −6.07146 | − | 7.23568i | −0.262738 | − | 0.313119i | ||||
\(535\) | −1.69428 | − | 9.60875i | −0.0732502 | − | 0.415423i | ||||
\(536\) | 1.25235 | − | 7.10244i | 0.0540934 | − | 0.306779i | ||||
\(537\) | −5.46381 | + | 0.963418i | −0.235781 | + | 0.0415745i | ||||
\(538\) | 8.49030 | − | 10.1183i | 0.366043 | − | 0.436233i | ||||
\(539\) | −33.8543 | − | 16.5098i | −1.45821 | − | 0.711127i | ||||
\(540\) | 10.6942 | − | 6.17432i | 0.460207 | − | 0.265700i | ||||
\(541\) | 10.0288 | − | 3.65017i | 0.431170 | − | 0.156933i | −0.117312 | − | 0.993095i | \(-0.537428\pi\) |
0.548483 | + | 0.836162i | \(0.315206\pi\) | |||||||
\(542\) | −6.74134 | − | 5.65666i | −0.289565 | − | 0.242974i | ||||
\(543\) | −11.5417 | −0.495303 | ||||||||
\(544\) | 7.12544 | 0.305501 | ||||||||
\(545\) | 5.24146 | + | 4.39810i | 0.224519 | + | 0.188394i | ||||
\(546\) | −0.247967 | + | 4.73370i | −0.0106120 | + | 0.202584i | ||||
\(547\) | 6.73115 | + | 18.4937i | 0.287803 | + | 0.790733i | 0.996373 | + | 0.0850921i | \(0.0271185\pi\) |
−0.708570 | + | 0.705641i | \(0.750659\pi\) | |||||||
\(548\) | 7.36853 | + | 2.68193i | 0.314768 | + | 0.114566i | ||||
\(549\) | −2.59580 | + | 7.13190i | −0.110786 | + | 0.304382i | ||||
\(550\) | 12.6824 | + | 7.32217i | 0.540778 | + | 0.312218i | ||||
\(551\) | 2.67585 | − | 4.08704i | 0.113995 | − | 0.174114i | ||||
\(552\) | 27.5966i | 1.17459i | ||||||||
\(553\) | −30.9606 | − | 20.1050i | −1.31658 | − | 0.854952i | ||||
\(554\) | −0.191289 | − | 0.227969i | −0.00812708 | − | 0.00968548i | ||||
\(555\) | 16.7698 | + | 14.0716i | 0.711840 | + | 0.597305i | ||||
\(556\) | 4.75098 | + | 5.66200i | 0.201487 | + | 0.240122i | ||||
\(557\) | 6.85309 | − | 2.49432i | 0.290375 | − | 0.105688i | −0.192726 | − | 0.981253i | \(-0.561733\pi\) |
0.483101 | + | 0.875565i | \(0.339511\pi\) | |||||||
\(558\) | − | 16.4262i | − | 0.695378i | ||||||
\(559\) | −5.12845 | − | 8.88273i | −0.216910 | − | 0.375699i | ||||
\(560\) | 1.50500 | − | 3.54579i | 0.0635978 | − | 0.149837i | ||||
\(561\) | −19.3568 | − | 3.41312i | −0.817244 | − | 0.144102i | ||||
\(562\) | 1.14803 | − | 1.98845i | 0.0484268 | − | 0.0838778i | ||||
\(563\) | 15.4558 | + | 26.7702i | 0.651384 | + | 1.12823i | 0.982787 | + | 0.184741i | \(0.0591445\pi\) |
−0.331404 | + | 0.943489i | \(0.607522\pi\) | |||||||
\(564\) | −11.1011 | − | 30.5000i | −0.467441 | − | 1.28428i | ||||
\(565\) | 2.03443 | + | 11.5378i | 0.0855893 | + | 0.485401i | ||||
\(566\) | 8.54964 | − | 3.11181i | 0.359368 | − | 0.130799i | ||||
\(567\) | 8.30707 | + | 16.3026i | 0.348864 | + | 0.684644i | ||||
\(568\) | 1.70491 | + | 9.66905i | 0.0715366 | + | 0.405704i | ||||
\(569\) | −25.2163 | + | 14.5586i | −1.05712 | + | 0.610330i | −0.924635 | − | 0.380854i | \(-0.875630\pi\) |
−0.132488 | + | 0.991185i | \(0.542297\pi\) | |||||||
\(570\) | 5.06846 | + | 6.77846i | 0.212295 | + | 0.283918i | ||||
\(571\) | −19.2485 | + | 33.3394i | −0.805525 | + | 1.39521i | 0.110411 | + | 0.993886i | \(0.464783\pi\) |
−0.915936 | + | 0.401324i | \(0.868550\pi\) | |||||||
\(572\) | −5.74417 | + | 4.81993i | −0.240176 | + | 0.201531i | ||||
\(573\) | 18.6035 | − | 15.6102i | 0.777172 | − | 0.652124i | ||||
\(574\) | 5.14834 | − | 12.1296i | 0.214888 | − | 0.506278i | ||||
\(575\) | −14.8670 | − | 5.41114i | −0.619996 | − | 0.225660i | ||||
\(576\) | −0.898152 | + | 5.09368i | −0.0374230 | + | 0.212236i | ||||
\(577\) | 22.8392 | − | 13.1862i | 0.950807 | − | 0.548949i | 0.0574755 | − | 0.998347i | \(-0.481695\pi\) |
0.893332 | + | 0.449398i | \(0.148362\pi\) | |||||||
\(578\) | − | 10.4057i | − | 0.432818i | ||||||
\(579\) | 2.00435 | + | 5.50692i | 0.0832981 | + | 0.228860i | ||||
\(580\) | 0.293926 | − | 1.66694i | 0.0122046 | − | 0.0692159i | ||||
\(581\) | 15.2272 | − | 16.3300i | 0.631732 | − | 0.677482i | ||||
\(582\) | 21.0863 | + | 12.1742i | 0.874056 | + | 0.504637i | ||||
\(583\) | −6.77142 | − | 1.19398i | −0.280444 | − | 0.0494498i | ||||
\(584\) | 11.0027 | − | 9.23236i | 0.455295 | − | 0.382038i | ||||
\(585\) | 4.98430 | + | 0.878867i | 0.206075 | + | 0.0363367i | ||||
\(586\) | −0.947120 | + | 2.60219i | −0.0391252 | + | 0.107496i | ||||
\(587\) | 40.8208 | − | 7.19782i | 1.68486 | − | 0.297086i | 0.752491 | − | 0.658603i | \(-0.228852\pi\) |
0.932366 | + | 0.361517i | \(0.117741\pi\) | |||||||
\(588\) | 28.8296 | + | 14.0594i | 1.18891 | + | 0.579799i | ||||
\(589\) | −18.3527 | + | 2.18408i | −0.756210 | + | 0.0899933i | ||||
\(590\) | −2.75011 | − | 4.76333i | −0.113220 | − | 0.196103i | ||||
\(591\) | −54.0817 | − | 19.6841i | −2.22462 | − | 0.809697i | ||||
\(592\) | 11.1389 | − | 1.96408i | 0.457804 | − | 0.0807232i | ||||
\(593\) | 4.85871 | − | 5.79039i | 0.199523 | − | 0.237783i | −0.657000 | − | 0.753890i | \(-0.728175\pi\) |
0.856524 | + | 0.516107i | \(0.172620\pi\) | |||||||
\(594\) | 10.1163 | − | 27.7943i | 0.415077 | − | 1.14041i | ||||
\(595\) | 2.93238 | + | 1.24464i | 0.120216 | + | 0.0510251i | ||||
\(596\) | −11.5523 | + | 20.0093i | −0.473203 | + | 0.819611i | ||||
\(597\) | −5.68414 | − | 3.28174i | −0.232637 | − | 0.134313i | ||||
\(598\) | −1.52055 | + | 1.81212i | −0.0621800 | + | 0.0741032i | ||||
\(599\) | 18.3175 | − | 21.8299i | 0.748431 | − | 0.891945i | −0.248627 | − | 0.968599i | \(-0.579979\pi\) |
0.997058 | + | 0.0766539i | \(0.0244237\pi\) | |||||||
\(600\) | −24.7538 | − | 14.2916i | −1.01057 | − | 0.583452i | ||||
\(601\) | −2.96468 | + | 5.13498i | −0.120932 | + | 0.209460i | −0.920135 | − | 0.391600i | \(-0.871922\pi\) |
0.799204 | + | 0.601060i | \(0.205255\pi\) | |||||||
\(602\) | 20.1155 | − | 2.47037i | 0.819845 | − | 0.100685i | ||||
\(603\) | 5.95840 | − | 16.3706i | 0.242645 | − | 0.666661i | ||||
\(604\) | 12.9715 | − | 15.4589i | 0.527805 | − | 0.629013i | ||||
\(605\) | 17.2500 | − | 3.04164i | 0.701313 | − | 0.123660i | ||||
\(606\) | −34.7561 | − | 12.6502i | −1.41187 | − | 0.513879i | ||||
\(607\) | −13.7334 | − | 23.7870i | −0.557423 | − | 0.965485i | −0.997711 | − | 0.0676280i | \(-0.978457\pi\) |
0.440288 | − | 0.897857i | \(-0.354876\pi\) | |||||||
\(608\) | 25.1288 | + | 1.41081i | 1.01911 | + | 0.0572160i | ||||
\(609\) | 8.55216 | + | 1.97420i | 0.346551 | + | 0.0799987i | ||||
\(610\) | −0.850894 | + | 0.150036i | −0.0344517 | + | 0.00607476i | ||||
\(611\) | 2.18102 | − | 5.99231i | 0.0882347 | − | 0.242423i | ||||
\(612\) | 10.8400 | + | 1.91139i | 0.438183 | + | 0.0772635i | ||||
\(613\) | −28.0952 | + | 23.5747i | −1.13475 | + | 0.952171i | −0.999255 | − | 0.0386062i | \(-0.987708\pi\) |
−0.135499 | + | 0.990777i | \(0.543264\pi\) | |||||||
\(614\) | 1.64050 | + | 0.289265i | 0.0662053 | + | 0.0116738i | ||||
\(615\) | −18.5280 | − | 10.6971i | −0.747121 | − | 0.431351i | ||||
\(616\) | −9.92942 | − | 32.4748i | −0.400068 | − | 1.30845i | ||||
\(617\) | −0.661579 | + | 3.75200i | −0.0266342 | + | 0.151050i | −0.995225 | − | 0.0976119i | \(-0.968880\pi\) |
0.968590 | + | 0.248662i | \(0.0799907\pi\) | |||||||
\(618\) | −4.26156 | − | 11.7085i | −0.171425 | − | 0.470986i | ||||
\(619\) | − | 9.44811i | − | 0.379752i | −0.981808 | − | 0.189876i | \(-0.939191\pi\) | ||
0.981808 | − | 0.189876i | \(-0.0608085\pi\) | |||||||
\(620\) | −5.54601 | + | 3.20199i | −0.222733 | + | 0.128595i | ||||
\(621\) | −5.54891 | + | 31.4694i | −0.222670 | + | 1.26282i | ||||
\(622\) | −8.38722 | − | 3.05270i | −0.336297 | − | 0.122402i | ||||
\(623\) | −11.5590 | − | 4.90618i | −0.463103 | − | 0.196562i | ||||
\(624\) | 3.04613 | − | 2.55600i | 0.121943 | − | 0.102322i | ||||
\(625\) | 8.90674 | − | 7.47364i | 0.356270 | − | 0.298946i | ||||
\(626\) | −0.309137 | + | 0.535441i | −0.0123556 | + | 0.0214005i | ||||
\(627\) | −67.5886 | − | 15.8694i | −2.69923 | − | 0.633764i | ||||
\(628\) | −11.8165 | + | 6.82228i | −0.471531 | + | 0.272239i | ||||
\(629\) | 1.62430 | + | 9.21185i | 0.0647650 | + | 0.367301i | ||||
\(630\) | −5.44641 | + | 8.38718i | −0.216990 | + | 0.334153i | ||||
\(631\) | 8.31668 | − | 3.02702i | 0.331082 | − | 0.120504i | −0.171130 | − | 0.985248i | \(-0.554742\pi\) |
0.502212 | + | 0.864744i | \(0.332520\pi\) | |||||||
\(632\) | −5.77954 | − | 32.7774i | −0.229898 | − | 1.30381i | ||||
\(633\) | 19.1477 | + | 52.6078i | 0.761051 | + | 2.09097i | ||||
\(634\) | −3.73254 | − | 6.46494i | −0.148238 | − | 0.256756i | ||||
\(635\) | 6.13779 | − | 10.6310i | 0.243571 | − | 0.421877i | ||||
\(636\) | 5.76640 | + | 1.01677i | 0.228653 | + | 0.0403176i | ||||
\(637\) | 2.56343 | + | 5.75681i | 0.101567 | + | 0.228093i | ||||
\(638\) | −2.02717 | − | 3.51116i | −0.0802563 | − | 0.139008i | ||||
\(639\) | 23.7167i | 0.938218i | ||||||||
\(640\) | 10.0344 | − | 3.65223i | 0.396645 | − | 0.144367i | ||||
\(641\) | −0.208544 | − | 0.248533i | −0.00823697 | − | 0.00981644i | 0.761910 | − | 0.647683i | \(-0.224262\pi\) |
−0.770147 | + | 0.637866i | \(0.779817\pi\) | |||||||
\(642\) | 15.2456 | + | 12.7926i | 0.601697 | + | 0.504884i | ||||
\(643\) | −29.7753 | − | 35.4849i | −1.17422 | − | 1.39939i | −0.898967 | − | 0.438016i | \(-0.855681\pi\) |
−0.275258 | − | 0.961370i | \(-0.588763\pi\) | |||||||
\(644\) | 7.26729 | + | 14.2620i | 0.286371 | + | 0.562002i | ||||
\(645\) | − | 32.9052i | − | 1.29564i | ||||||
\(646\) | −0.202723 | + | 3.61082i | −0.00797601 | + | 0.142066i | ||||
\(647\) | −11.0505 | − | 6.38004i | −0.434442 | − | 0.250825i | 0.266795 | − | 0.963753i | \(-0.414035\pi\) |
−0.701237 | + | 0.712928i | \(0.747369\pi\) | |||||||
\(648\) | −5.64214 | + | 15.5016i | −0.221644 | + | 0.608962i | ||||
\(649\) | 42.3959 | + | 15.4308i | 1.66418 | + | 0.605713i | ||||
\(650\) | −0.837992 | − | 2.30236i | −0.0328687 | − | 0.0903061i | ||||
\(651\) | −15.0764 | − | 29.5874i | −0.590891 | − | 1.15962i | ||||
\(652\) | −9.66071 | − | 8.10630i | −0.378343 | − | 0.317467i | ||||
\(653\) | 28.2527 | 1.10561 | 0.552807 | − | 0.833309i | \(-0.313556\pi\) | ||||
0.552807 | + | 0.833309i | \(0.313556\pi\) | |||||||
\(654\) | −13.9564 | −0.545739 | ||||||||
\(655\) | −8.63304 | − | 7.24398i | −0.337321 | − | 0.283046i | ||||
\(656\) | −10.3872 | + | 3.78063i | −0.405552 | + | 0.147609i | ||||
\(657\) | 30.0468 | − | 17.3475i | 1.17224 | − | 0.676791i | ||||
\(658\) | 9.21532 | + | 8.59301i | 0.359251 | + | 0.334990i | ||||
\(659\) | 8.02056 | − | 9.55853i | 0.312437 | − | 0.372347i | −0.586859 | − | 0.809689i | \(-0.699636\pi\) |
0.899295 | + | 0.437342i | \(0.144080\pi\) | |||||||
\(660\) | −23.6905 | + | 4.17727i | −0.922150 | + | 0.162600i | ||||
\(661\) | 1.72246 | − | 9.76854i | 0.0669958 | − | 0.379952i | −0.932812 | − | 0.360363i | \(-0.882653\pi\) |
0.999808 | − | 0.0195896i | \(-0.00623596\pi\) | |||||||
\(662\) | 3.79132 | + | 21.5016i | 0.147354 | + | 0.835684i | ||||
\(663\) | 2.11382 | + | 2.51915i | 0.0820939 | + | 0.0978357i | ||||
\(664\) | 20.1307 | 0.781225 | ||||||||
\(665\) | 10.0950 | + | 4.96998i | 0.391467 | + | 0.192728i | ||||
\(666\) | −29.3646 | −1.13786 | ||||||||
\(667\) | 2.81549 | + | 3.35537i | 0.109016 | + | 0.129921i | ||||
\(668\) | 6.66244 | + | 37.7846i | 0.257778 | + | 1.46193i | ||||
\(669\) | 1.61710 | − | 9.17102i | 0.0625206 | − | 0.354572i | ||||
\(670\) | 1.95314 | − | 0.344392i | 0.0754565 | − | 0.0133050i | ||||
\(671\) | 4.55564 | − | 5.42920i | 0.175869 | − | 0.209592i | ||||
\(672\) | 13.2222 | + | 43.2440i | 0.510056 | + | 1.66817i | ||||
\(673\) | −22.9469 | + | 13.2484i | −0.884538 | + | 0.510688i | −0.872152 | − | 0.489235i | \(-0.837276\pi\) |
−0.0123858 | + | 0.999923i | \(0.503943\pi\) | |||||||
\(674\) | −8.16023 | + | 2.97008i | −0.314320 | + | 0.114403i | ||||
\(675\) | −25.3540 | − | 21.2745i | −0.975875 | − | 0.818856i | ||||
\(676\) | −18.8692 | −0.725737 | ||||||||
\(677\) | −8.90312 | −0.342175 | −0.171087 | − | 0.985256i | \(-0.554728\pi\) | ||||
−0.171087 | + | 0.985256i | \(0.554728\pi\) | |||||||
\(678\) | −18.3064 | − | 15.3609i | −0.703054 | − | 0.589932i | ||||
\(679\) | 32.3251 | + | 1.69330i | 1.24053 | + | 0.0649829i | ||||
\(680\) | 0.982318 | + | 2.69890i | 0.0376702 | + | 0.103498i | ||||
\(681\) | −27.7451 | − | 10.0984i | −1.06320 | − | 0.386972i | ||||
\(682\) | −5.24630 | + | 14.4141i | −0.200891 | + | 0.551944i | ||||
\(683\) | 21.6523 | + | 12.5010i | 0.828504 | + | 0.478337i | 0.853340 | − | 0.521354i | \(-0.174573\pi\) |
−0.0248361 | + | 0.999692i | \(0.507906\pi\) | |||||||
\(684\) | 37.8505 | + | 8.88708i | 1.44725 | + | 0.339806i | ||||
\(685\) | 4.94240i | 0.188839i | ||||||||
\(686\) | −12.4497 | + | 0.218219i | −0.475333 | + | 0.00833164i | ||||
\(687\) | 48.2144 | + | 57.4597i | 1.83949 | + | 2.19222i | ||||
\(688\) | −13.0237 | − | 10.9281i | −0.496522 | − | 0.416631i | ||||
\(689\) | 0.739460 | + | 0.881254i | 0.0281712 | + | 0.0335731i | ||||
\(690\) | −7.13129 | + | 2.59558i | −0.271484 | + | 0.0988120i | ||||
\(691\) | − | 2.32070i | − | 0.0882837i | −0.999025 | − | 0.0441418i | \(-0.985945\pi\) | ||
0.999025 | − | 0.0441418i | \(-0.0140554\pi\) | |||||||
\(692\) | 5.60086 | + | 9.70098i | 0.212913 | + | 0.368776i | ||||
\(693\) | −9.99899 | − | 81.4189i | −0.379830 | − | 3.09285i | ||||
\(694\) | −9.26022 | − | 1.63283i | −0.351513 | − | 0.0619812i | ||||
\(695\) | −2.32932 | + | 4.03449i | −0.0883560 | + | 0.153037i | ||||
\(696\) | 3.95668 | + | 6.85316i | 0.149977 | + | 0.259769i | ||||
\(697\) | −3.12658 | − | 8.59022i | −0.118428 | − | 0.325378i | ||||
\(698\) | −2.09474 | − | 11.8799i | −0.0792872 | − | 0.449660i | ||||
\(699\) | −11.5579 | + | 4.20673i | −0.437160 | + | 0.159113i | ||||
\(700\) | −16.5564 | − | 0.867278i | −0.625771 | − | 0.0327800i | ||||
\(701\) | −0.0484593 | − | 0.274826i | −0.00183028 | − | 0.0103800i | 0.983879 | − | 0.178836i | \(-0.0572331\pi\) |
−0.985709 | + | 0.168456i | \(0.946122\pi\) | |||||||
\(702\) | −4.28568 | + | 2.47434i | −0.161752 | + | 0.0933878i | ||||
\(703\) | 3.90440 | + | 32.8085i | 0.147257 | + | 1.23739i | ||||
\(704\) | 2.41497 | − | 4.18286i | 0.0910178 | − | 0.157647i | ||||
\(705\) | 15.6715 | − | 13.1500i | 0.590223 | − | 0.495256i | ||||
\(706\) | 13.4727 | − | 11.3050i | 0.507053 | − | 0.425468i | ||||
\(707\) | −48.8045 | + | 5.99365i | −1.83548 | + | 0.225414i | ||||
\(708\) | −36.1034 | − | 13.1406i | −1.35685 | − | 0.493853i | ||||
\(709\) | 3.49448 | − | 19.8182i | 0.131238 | − | 0.744287i | −0.846168 | − | 0.532916i | \(-0.821096\pi\) |
0.977406 | − | 0.211371i | \(-0.0677928\pi\) | |||||||
\(710\) | −2.33824 | + | 1.34998i | −0.0877527 | + | 0.0506640i | ||||
\(711\) | − | 80.3979i | − | 3.01516i | ||||||
\(712\) | −3.87216 | − | 10.6387i | −0.145115 | − | 0.398701i | ||||
\(713\) | 2.87765 | − | 16.3200i | 0.107769 | − | 0.611188i | ||||
\(714\) | −6.21382 | + | 1.89992i | −0.232546 | + | 0.0711027i | ||||
\(715\) | −4.09304 | − | 2.36312i | −0.153071 | − | 0.0883756i | ||||
\(716\) | −2.85730 | − | 0.503820i | −0.106782 | − | 0.0188286i | ||||
\(717\) | −33.2881 | + | 27.9321i | −1.24317 | + | 1.04314i | ||||
\(718\) | −7.09522 | − | 1.25108i | −0.264791 | − | 0.0466898i | ||||
\(719\) | −11.3334 | + | 31.1383i | −0.422664 | + | 1.16126i | 0.527512 | + | 0.849548i | \(0.323125\pi\) |
−0.950176 | + | 0.311713i | \(0.899097\pi\) | |||||||
\(720\) | 8.26166 | − | 1.45675i | 0.307894 | − | 0.0542900i | ||||
\(721\) | −12.1149 | − | 11.2968i | −0.451182 | − | 0.420713i | ||||
\(722\) | −1.42986 | + | 12.6939i | −0.0532138 | + | 0.472418i | ||||
\(723\) | 5.73831 | + | 9.93904i | 0.213410 | + | 0.369637i | ||||
\(724\) | −5.67175 | − | 2.06435i | −0.210789 | − | 0.0767209i | ||||
\(725\) | −4.46779 | + | 0.787792i | −0.165930 | + | 0.0292579i | ||||
\(726\) | −22.9658 | + | 27.3696i | −0.852341 | + | 1.01578i | ||||
\(727\) | −4.38166 | + | 12.0385i | −0.162507 | + | 0.446484i | −0.994043 | − | 0.108986i | \(-0.965239\pi\) |
0.831536 | + | 0.555470i | \(0.187462\pi\) | |||||||
\(728\) | −2.21986 | + | 5.23002i | −0.0822735 | + | 0.193837i | ||||
\(729\) | 16.3786 | − | 28.3686i | 0.606616 | − | 1.05069i | ||||
\(730\) | 3.42060 | + | 1.97489i | 0.126602 | + | 0.0730938i | ||||
\(731\) | 9.03759 | − | 10.7706i | 0.334267 | − | 0.398364i | ||||
\(732\) | −3.87949 | + | 4.62339i | −0.143390 | + | 0.170886i | ||||
\(733\) | −15.5378 | − | 8.97073i | −0.573900 | − | 0.331341i | 0.184805 | − | 0.982775i | \(-0.440835\pi\) |
−0.758706 | + | 0.651434i | \(0.774168\pi\) | |||||||
\(734\) | −6.90288 | + | 11.9561i | −0.254790 | + | 0.441309i | ||||
\(735\) | −2.11224 | + | 20.1060i | −0.0779112 | + | 0.741623i | ||||
\(736\) | −7.71831 | + | 21.2059i | −0.284501 | + | 0.781659i | ||||
\(737\) | −10.4570 | + | 12.4622i | −0.385189 | + | 0.459051i | ||||
\(738\) | 28.2617 | − | 4.98330i | 1.04033 | − | 0.183438i | ||||
\(739\) | −4.89470 | − | 1.78152i | −0.180054 | − | 0.0655345i | 0.250420 | − | 0.968137i | \(-0.419431\pi\) |
−0.430474 | + | 0.902603i | \(0.641654\pi\) | |||||||
\(740\) | 5.72408 | + | 9.91439i | 0.210421 | + | 0.364460i | ||||
\(741\) | 6.95589 | + | 9.30266i | 0.255531 | + | 0.341742i | ||||
\(742\) | −2.17373 | + | 0.664633i | −0.0798001 | + | 0.0243994i | ||||
\(743\) | 26.0780 | − | 4.59826i | 0.956711 | − | 0.168694i | 0.326568 | − | 0.945174i | \(-0.394108\pi\) |
0.630142 | + | 0.776480i | \(0.282997\pi\) | |||||||
\(744\) | 10.2398 | − | 28.1338i | 0.375411 | − | 1.03143i | ||||
\(745\) | −14.3415 | − | 2.52879i | −0.525432 | − | 0.0926478i | ||||
\(746\) | 0.327625 | − | 0.274910i | 0.0119952 | − | 0.0100652i | ||||
\(747\) | 47.8887 | + | 8.44407i | 1.75216 | + | 0.308952i | ||||
\(748\) | −8.90170 | − | 5.13940i | −0.325478 | − | 0.187915i | ||||
\(749\) | 25.7800 | + | 5.95113i | 0.941982 | + | 0.217449i | ||||
\(750\) | 3.05082 | − | 17.3021i | 0.111400 | − | 0.631782i | ||||
\(751\) | 7.56497 | + | 20.7846i | 0.276050 | + | 0.758440i | 0.997801 | + | 0.0662873i | \(0.0211154\pi\) |
−0.721751 | + | 0.692153i | \(0.756662\pi\) | |||||||
\(752\) | − | 10.5699i | − | 0.385445i | ||||||
\(753\) | −9.79540 | + | 5.65538i | −0.356964 | + | 0.206093i | ||||
\(754\) | −0.117790 | + | 0.668020i | −0.00428966 | + | 0.0243279i | ||||
\(755\) | 11.9523 | + | 4.35029i | 0.434990 | + | 0.158323i | ||||
\(756\) | 4.08170 | + | 33.2361i | 0.148450 | + | 1.20878i | ||||
\(757\) | 1.81337 | − | 1.52160i | 0.0659082 | − | 0.0553036i | −0.609238 | − | 0.792987i | \(-0.708525\pi\) |
0.675147 | + | 0.737684i | \(0.264080\pi\) | |||||||
\(758\) | 11.8369 | − | 9.93237i | 0.429937 | − | 0.360760i | ||||
\(759\) | 31.1251 | − | 53.9102i | 1.12977 | − | 1.95682i | ||||
\(760\) | 2.92991 | + | 9.71253i | 0.106279 | + | 0.352310i | ||||
\(761\) | 42.0900 | − | 24.3006i | 1.52576 | − | 0.880898i | 0.526227 | − | 0.850344i | \(-0.323606\pi\) |
0.999533 | − | 0.0305534i | \(-0.00972695\pi\) | |||||||
\(762\) | 4.34799 | + | 24.6587i | 0.157511 | + | 0.893289i | ||||
\(763\) | −16.5316 | + | 8.42378i | −0.598484 | + | 0.304961i | ||||
\(764\) | 11.9340 | − | 4.34363i | 0.431758 | − | 0.157147i | ||||
\(765\) | 1.20474 | + | 6.83241i | 0.0435574 | + | 0.247026i | ||||
\(766\) | 8.11930 | + | 22.3076i | 0.293362 | + | 0.806006i | ||||
\(767\) | −3.77421 | − | 6.53713i | −0.136279 | − | 0.236042i | ||||
\(768\) | −13.5477 | + | 23.4653i | −0.488860 | + | 0.846730i | ||||
\(769\) | 16.4109 | + | 2.89369i | 0.591793 | + | 0.104349i | 0.461521 | − | 0.887129i | \(-0.347304\pi\) |
0.130272 | + | 0.991478i | \(0.458415\pi\) | |||||||
\(770\) | 7.45798 | − | 5.62028i | 0.268767 | − | 0.202541i | ||||
\(771\) | 17.1754 | + | 29.7487i | 0.618557 | + | 1.07137i | ||||
\(772\) | 3.06467i | 0.110300i | ||||||||
\(773\) | 26.7669 | − | 9.74236i | 0.962739 | − | 0.350408i | 0.187633 | − | 0.982239i | \(-0.439918\pi\) |
0.775106 | + | 0.631831i | \(0.217696\pi\) | |||||||
\(774\) | 28.3714 | + | 33.8118i | 1.01979 | + | 1.21534i | ||||
\(775\) | 13.1485 | + | 11.0329i | 0.472309 | + | 0.396314i | ||||
\(776\) | 18.7592 | + | 22.3563i | 0.673416 | + | 0.802546i | ||||
\(777\) | −52.8922 | + | 26.9516i | −1.89750 | + | 0.966882i | ||||
\(778\) | 5.01444i | 0.179776i | ||||||||
\(779\) | −9.32550 | − | 30.9136i | −0.334121 | − | 1.10760i | ||||
\(780\) | 3.48555 | + | 2.01238i | 0.124803 | + | 0.0720548i | ||||
\(781\) | 7.57475 | − | 20.8115i | 0.271046 | − | 0.744693i | ||||
\(782\) | −3.04711 | − | 1.10906i | −0.108965 | − | 0.0396599i | ||||
\(783\) | 3.13396 | + | 8.61049i | 0.111999 | + | 0.307714i | ||||
\(784\) | 7.25634 | + | 7.51343i | 0.259155 | + | 0.268337i | ||||
\(785\) | −6.58804 | − | 5.52802i | −0.235137 | − | 0.197303i | ||||
\(786\) | 22.9872 | 0.819926 | ||||||||
\(787\) | 44.5314 | 1.58737 | 0.793686 | − | 0.608327i | \(-0.208159\pi\) | ||||
0.793686 | + | 0.608327i | \(0.208159\pi\) | |||||||
\(788\) | −23.0557 | − | 19.3461i | −0.821326 | − | 0.689175i | ||||
\(789\) | −48.9608 | + | 17.8203i | −1.74305 | + | 0.634418i | ||||
\(790\) | 7.92648 | − | 4.57635i | 0.282011 | − | 0.162819i | ||||
\(791\) | −30.9557 | − | 7.14590i | −1.10066 | − | 0.254079i | ||||
\(792\) | 47.5395 | − | 56.6554i | 1.68924 | − | 2.01316i | ||||
\(793\) | −1.16776 | + | 0.205907i | −0.0414682 | + | 0.00731196i | ||||
\(794\) | −3.15361 | + | 17.8850i | −0.111917 | + | 0.634714i | ||||
\(795\) | 0.640864 | + | 3.63452i | 0.0227291 | + | 0.128903i | ||||
\(796\) | −2.20629 | − | 2.62935i | −0.0781999 | − | 0.0931950i | ||||
\(797\) | −14.8427 | −0.525756 | −0.262878 | − | 0.964829i | \(-0.584672\pi\) | ||||
−0.262878 | + | 0.964829i | \(0.584672\pi\) | |||||||
\(798\) | −22.2901 | + | 5.47001i | −0.789059 | + | 0.193636i | ||||
\(799\) | 8.74133 | 0.309246 | ||||||||
\(800\) | −15.0242 | − | 17.9052i | −0.531187 | − | 0.633044i | ||||
\(801\) | −4.74891 | − | 26.9324i | −0.167794 | − | 0.951610i | ||||
\(802\) | 3.91769 | − | 22.2183i | 0.138339 | − | 0.784557i | ||||
\(803\) | −31.9066 | + | 5.62600i | −1.12596 | + | 0.198537i | ||||
\(804\) | 8.90498 | − | 10.6125i | 0.314054 | − | 0.374275i | ||||
\(805\) | −6.88050 | + | 7.37879i | −0.242506 | + | 0.260068i | ||||
\(806\) | 2.22254 | − | 1.28319i | 0.0782858 | − | 0.0451983i | ||||
\(807\) | 54.6470 | − | 19.8899i | 1.92367 | − | 0.700158i | ||||
\(808\) | −33.9607 | − | 28.4964i | −1.19473 | − | 1.00250i | ||||
\(809\) | 14.1393 | 0.497112 | 0.248556 | − | 0.968618i | \(-0.420044\pi\) | ||||
0.248556 | + | 0.968618i | \(0.420044\pi\) | |||||||
\(810\) | −4.53647 | −0.159395 | ||||||||
\(811\) | −21.1869 | − | 17.7779i | −0.743974 | − | 0.624268i | 0.189928 | − | 0.981798i | \(-0.439175\pi\) |
−0.933902 | + | 0.357530i | \(0.883619\pi\) | |||||||
\(812\) | 3.84953 | + | 2.49978i | 0.135092 | + | 0.0877252i | ||||
\(813\) | −13.2516 | − | 36.4085i | −0.464755 | − | 1.27690i | ||||
\(814\) | 25.7675 | + | 9.37861i | 0.903151 | + | 0.328720i | ||||
\(815\) | 2.71862 | − | 7.46936i | 0.0952293 | − | 0.261640i | ||||
\(816\) | 4.72057 | + | 2.72542i | 0.165253 | + | 0.0954088i | ||||
\(817\) | 34.0048 | − | 36.1945i | 1.18968 | − | 1.26629i | ||||
\(818\) | 7.48922i | 0.261854i | ||||||||
\(819\) | −7.47458 | + | 11.5105i | −0.261183 | + | 0.402208i | ||||
\(820\) | −7.19161 | − | 8.57063i | −0.251142 | − | 0.299299i | ||||
\(821\) | 25.4147 | + | 21.3255i | 0.886979 | + | 0.744263i | 0.967602 | − | 0.252481i | \(-0.0812466\pi\) |
−0.0806231 | + | 0.996745i | \(0.525691\pi\) | |||||||
\(822\) | −6.48009 | − | 7.72268i | −0.226019 | − | 0.269359i | ||||
\(823\) | −11.1488 | + | 4.05783i | −0.388622 | + | 0.141447i | −0.528939 | − | 0.848660i | \(-0.677410\pi\) |
0.140317 | + | 0.990107i | \(0.455188\pi\) | |||||||
\(824\) | − | 14.9346i | − | 0.520271i | ||||||
\(825\) | 32.2378 | + | 55.8374i | 1.12237 | + | 1.94401i | ||||
\(826\) | 14.8037 | − | 1.81803i | 0.515087 | − | 0.0632575i | ||||
\(827\) | 19.4197 | + | 3.42421i | 0.675288 | + | 0.119072i | 0.500767 | − | 0.865582i | \(-0.333051\pi\) |
0.174521 | + | 0.984653i | \(0.444162\pi\) | |||||||
\(828\) | −17.4304 | + | 30.1904i | −0.605749 | + | 1.04919i | ||||
\(829\) | 14.3635 | + | 24.8784i | 0.498867 | + | 0.864062i | 0.999999 | − | 0.00130833i | \(-0.000416453\pi\) |
−0.501133 | + | 0.865370i | \(0.667083\pi\) | |||||||
\(830\) | 1.89338 | + | 5.20202i | 0.0657202 | + | 0.180565i | ||||
\(831\) | −0.227519 | − | 1.29032i | −0.00789254 | − | 0.0447608i | ||||
\(832\) | −0.759359 | + | 0.276384i | −0.0263260 | + | 0.00958189i | ||||
\(833\) | −6.21361 | + | 6.00100i | −0.215289 | + | 0.207922i | ||||
\(834\) | −1.65008 | − | 9.35807i | −0.0571376 | − | 0.324043i | ||||
\(835\) | −20.9429 | + | 12.0914i | −0.724758 | + | 0.418439i | ||||
\(836\) | −30.3755 | − | 19.8873i | −1.05056 | − | 0.687817i | ||||
\(837\) | 17.3338 | − | 30.0230i | 0.599143 | − | 1.03775i | ||||
\(838\) | −1.12364 | + | 0.942847i | −0.0388155 | + | 0.0325701i | ||||
\(839\) | −37.6991 | + | 31.6333i | −1.30152 | + | 1.09210i | −0.311638 | + | 0.950201i | \(0.600877\pi\) |
−0.989881 | + | 0.141902i | \(0.954678\pi\) | |||||||
\(840\) | −14.5567 | + | 10.9698i | −0.502253 | + | 0.378494i | ||||
\(841\) | −26.0708 | − | 9.48901i | −0.898994 | − | 0.327207i | ||||
\(842\) | −2.18579 | + | 12.3962i | −0.0753272 | + | 0.427202i | ||||
\(843\) | 8.75468 | − | 5.05452i | 0.301527 | − | 0.174087i | ||||
\(844\) | 29.2769i | 1.00775i | ||||||||
\(845\) | −4.06768 | − | 11.1759i | −0.139933 | − | 0.384461i | ||||
\(846\) | −4.76515 | + | 27.0245i | −0.163829 | + | 0.929121i | ||||
\(847\) | −10.6837 | + | 46.2813i | −0.367096 | + | 1.59024i | ||||
\(848\) | 1.65136 | + | 0.953411i | 0.0567078 | + | 0.0327403i | ||||
\(849\) | 39.4492 | + | 6.95597i | 1.35389 | + | 0.238728i | ||||
\(850\) | 2.57283 | − | 2.15886i | 0.0882474 | − | 0.0740484i | ||||
\(851\) | −29.1746 | − | 5.14427i | −1.00009 | − | 0.176343i | ||||
\(852\) | −6.45050 | + | 17.7226i | −0.220990 | + | 0.607166i | ||||
\(853\) | −16.4087 | + | 2.89329i | −0.561822 | + | 0.0990645i | −0.447345 | − | 0.894361i | \(-0.647630\pi\) |
−0.114477 | + | 0.993426i | \(0.536519\pi\) | |||||||
\(854\) | 0.526997 | − | 2.28293i | 0.0180335 | − | 0.0781201i | ||||
\(855\) | 2.89588 | + | 24.3340i | 0.0990370 | + | 0.832204i | ||||
\(856\) | 11.9272 | + | 20.6585i | 0.407663 | + | 0.706093i | ||||
\(857\) | 34.4740 | + | 12.5475i | 1.17761 | + | 0.428614i | 0.855357 | − | 0.518040i | \(-0.173338\pi\) |
0.322252 | + | 0.946654i | \(0.395560\pi\) | |||||||
\(858\) | 9.49387 | − | 1.67402i | 0.324115 | − | 0.0571503i | ||||
\(859\) | −32.0210 | + | 38.1612i | −1.09254 | + | 1.30204i | −0.142544 | + | 0.989788i | \(0.545528\pi\) |
−0.949999 | + | 0.312253i | \(0.898916\pi\) | |||||||
\(860\) | 5.88541 | − | 16.1700i | 0.200691 | − | 0.551394i | ||||
\(861\) | 46.3319 | − | 34.9154i | 1.57899 | − | 1.18991i | ||||
\(862\) | 1.44856 | − | 2.50898i | 0.0493382 | − | 0.0854562i | ||||
\(863\) | 5.13072 | + | 2.96222i | 0.174652 | + | 0.100835i | 0.584777 | − | 0.811194i | \(-0.301182\pi\) |
−0.410126 | + | 0.912029i | \(0.634515\pi\) | |||||||
\(864\) | −30.3454 | + | 36.1642i | −1.03237 | + | 1.23033i | ||||
\(865\) | −4.53832 | + | 5.40856i | −0.154308 | + | 0.183897i | ||||
\(866\) | 18.0217 | + | 10.4048i | 0.612402 | + | 0.353570i | ||||
\(867\) | 22.9068 | − | 39.6758i | 0.777956 | − | 1.34746i | ||||
\(868\) | −2.11676 | − | 17.2362i | −0.0718475 | − | 0.585034i | ||||
\(869\) | −25.6779 | + | 70.5494i | −0.871062 | + | 2.39322i | ||||
\(870\) | −1.39880 | + | 1.66702i | −0.0474236 | + | 0.0565173i | ||||
\(871\) | 2.68047 | − | 0.472639i | 0.0908242 | − | 0.0160147i | ||||
\(872\) | −15.7194 | − | 5.72140i | −0.532327 | − | 0.193751i | ||||
\(873\) | 35.2483 | + | 61.0519i | 1.19297 | + | 2.06629i | ||||
\(874\) | −10.5265 | − | 4.51457i | −0.356063 | − | 0.152708i | ||||
\(875\) | −6.82938 | − | 22.3360i | −0.230875 | − | 0.755093i | ||||
\(876\) | 27.1710 | − | 4.79098i | 0.918024 | − | 0.161872i | ||||
\(877\) | 0.137456 | − | 0.377659i | 0.00464157 | − | 0.0127526i | −0.937350 | − | 0.348389i | \(-0.886729\pi\) |
0.941992 | + | 0.335636i | \(0.108951\pi\) | |||||||
\(878\) | −12.5698 | − | 2.21640i | −0.424211 | − | 0.0747998i | ||||
\(879\) | −9.33969 | + | 7.83693i | −0.315020 | + | 0.264333i | ||||
\(880\) | −7.71490 | − | 1.36034i | −0.260069 | − | 0.0458572i | ||||
\(881\) | −25.7158 | − | 14.8470i | −0.866387 | − | 0.500209i | −0.000241052 | − | 1.00000i | \(-0.500077\pi\) |
−0.866146 | + | 0.499791i | \(0.833410\pi\) | |||||||
\(882\) | −15.1653 | − | 22.4812i | −0.510644 | − | 0.756981i | ||||
\(883\) | −2.34837 | + | 13.3182i | −0.0790288 | + | 0.448195i | 0.919457 | + | 0.393190i | \(0.128628\pi\) |
−0.998486 | + | 0.0550047i | \(0.982483\pi\) | |||||||
\(884\) | 0.588183 | + | 1.61602i | 0.0197827 | + | 0.0543526i | ||||
\(885\) | − | 24.2162i | − | 0.814017i | ||||||
\(886\) | 2.83651 | − | 1.63766i | 0.0952943 | − | 0.0550182i | ||||
\(887\) | −8.11769 | + | 46.0377i | −0.272565 | + | 1.54579i | 0.474025 | + | 0.880511i | \(0.342800\pi\) |
−0.746591 | + | 0.665284i | \(0.768311\pi\) | |||||||
\(888\) | −50.2937 | − | 18.3054i | −1.68775 | − | 0.614289i | ||||
\(889\) | 20.0337 | + | 26.5842i | 0.671908 | + | 0.891607i | ||||
\(890\) | 2.38497 | − | 2.00123i | 0.0799443 | − | 0.0670812i | ||||
\(891\) | 28.5056 | − | 23.9190i | 0.954974 | − | 0.801318i | ||||
\(892\) | 2.43499 | − | 4.21752i | 0.0815294 | − | 0.141213i | ||||
\(893\) | 30.8275 | + | 1.73075i | 1.03160 | + | 0.0579174i | ||||
\(894\) | 25.7247 | − | 14.8521i | 0.860361 | − | 0.496730i | ||||
\(895\) | −0.317554 | − | 1.80094i | −0.0106147 | − | 0.0601987i | ||||
\(896\) | −1.51477 | + | 28.9169i | −0.0506048 | + | 0.966047i | ||||
\(897\) | −9.78689 | + | 3.56214i | −0.326775 | + | 0.118936i | ||||
\(898\) | 1.90050 | + | 10.7783i | 0.0634207 | + | 0.359676i | ||||
\(899\) | −1.62527 | − | 4.46538i | −0.0542057 | − | 0.148929i | ||||
\(900\) | −18.0536 | − | 31.2697i | −0.601785 | − | 1.04232i | ||||
\(901\) | −0.788472 | + | 1.36567i | −0.0262678 | + | 0.0454972i | ||||
\(902\) | −26.3913 | − | 4.65350i | −0.878735 | − | 0.154945i | ||||
\(903\) | 82.1366 | + | 34.8626i | 2.73333 | + | 1.16015i | ||||
\(904\) | −14.3217 | − | 24.8060i | −0.476334 | − | 0.825035i | ||||
\(905\) | − | 3.80429i | − | 0.126459i | ||||||
\(906\) | −24.3797 | + | 8.87349i | −0.809962 | + | 0.294802i | ||||
\(907\) | 9.75017 | + | 11.6198i | 0.323749 | + | 0.385829i | 0.903230 | − | 0.429157i | \(-0.141189\pi\) |
−0.579481 | + | 0.814986i | \(0.696745\pi\) | |||||||
\(908\) | −11.8281 | − | 9.92497i | −0.392530 | − | 0.329372i | ||||
\(909\) | −68.8353 | − | 82.0347i | −2.28312 | − | 2.72092i | ||||
\(910\) | −1.56029 | − | 0.0817331i | −0.0517230 | − | 0.00270942i | ||||
\(911\) | − | 56.4353i | − | 1.86978i | −0.354933 | − | 0.934892i | \(-0.615496\pi\) | ||
0.354933 | − | 0.934892i | \(-0.384504\pi\) | |||||||
\(912\) | 16.1081 | + | 10.5462i | 0.533392 | + | 0.349220i | ||||
\(913\) | −39.3256 | − | 22.7046i | −1.30149 | − | 0.751413i | ||||
\(914\) | −6.84628 | + | 18.8100i | −0.226455 | + | 0.622180i | ||||
\(915\) | −3.57466 | − | 1.30107i | −0.118175 | − | 0.0430121i | ||||
\(916\) | 13.4160 | + | 36.8600i | 0.443275 | + | 1.21789i | ||||
\(917\) | 27.2287 | − | 13.8745i | 0.899170 | − | 0.458178i | ||||
\(918\) | −5.19651 | − | 4.36039i | −0.171511 | − | 0.143914i | ||||
\(919\) | −2.38639 | −0.0787196 | −0.0393598 | − | 0.999225i | \(-0.512532\pi\) | ||||
−0.0393598 | + | 0.999225i | \(0.512532\pi\) | |||||||
\(920\) | −9.09618 | −0.299892 | ||||||||
\(921\) | 5.61830 | + | 4.71431i | 0.185129 | + | 0.155342i | ||||
\(922\) | −15.2618 | + | 5.55485i | −0.502622 | + | 0.182939i | ||||
\(923\) | −3.20897 | + | 1.85270i | −0.105625 | + | 0.0609824i | ||||
\(924\) | 14.6725 | − | 63.5608i | 0.482691 | − | 2.09100i | ||||
\(925\) | 19.7231 | − | 23.5051i | 0.648493 | − | 0.772843i | ||||
\(926\) | 0.492150 | − | 0.0867793i | 0.0161730 | − | 0.00285174i | ||||
\(927\) | 6.26448 | − | 35.5276i | 0.205753 | − | 1.16688i | ||||
\(928\) | 1.12369 | + | 6.37274i | 0.0368868 | + | 0.209196i | ||||
\(929\) | −2.17142 | − | 2.58780i | −0.0712421 | − | 0.0849031i | 0.729246 | − | 0.684251i | \(-0.239871\pi\) |
−0.800488 | + | 0.599348i | \(0.795426\pi\) | |||||||
\(930\) | 8.23320 | 0.269977 | ||||||||
\(931\) | −23.1013 | + | 19.9331i | −0.757116 | + | 0.653280i | ||||
\(932\) | −6.43212 | −0.210691 | ||||||||
\(933\) | −25.2595 | − | 30.1031i | −0.826959 | − | 0.985532i | ||||
\(934\) | −1.83586 | − | 10.4117i | −0.0600712 | − | 0.340680i | ||||
\(935\) | 1.12501 | − | 6.38023i | 0.0367917 | − | 0.208656i | ||||
\(936\) | −12.1859 | + | 2.14870i | −0.398308 | + | 0.0702325i | ||||
\(937\) | −6.56900 | + | 7.82863i | −0.214600 | + | 0.255750i | −0.862596 | − | 0.505893i | \(-0.831163\pi\) |
0.647996 | + | 0.761644i | \(0.275607\pi\) | |||||||
\(938\) | −1.20967 | + | 5.24023i | −0.0394971 | + | 0.171100i | ||||
\(939\) | −2.35742 | + | 1.36106i | −0.0769315 | + | 0.0444164i | ||||
\(940\) | 10.0532 | − | 3.65906i | 0.327899 | − | 0.119345i | ||||
\(941\) | 23.9823 | + | 20.1235i | 0.781800 | + | 0.656008i | 0.943701 | − | 0.330799i | \(-0.107318\pi\) |
−0.161902 | + | 0.986807i | \(0.551763\pi\) | |||||||
\(942\) | 17.5420 | 0.571548 | ||||||||
\(943\) | 28.9519 | 0.942803 | ||||||||
\(944\) | −9.58458 | − | 8.04242i | −0.311952 | − | 0.261759i | ||||
\(945\) | −18.8052 | + | 9.58231i | −0.611734 | + | 0.311713i | ||||
\(946\) | −14.0970 | − | 38.7313i | −0.458335 | − | 1.25926i | ||||
\(947\) | 38.9801 | + | 14.1876i | 1.26668 | + | 0.461035i | 0.886006 | − | 0.463673i | \(-0.153469\pi\) |
0.380677 | + | 0.924708i | \(0.375691\pi\) | |||||||
\(948\) | 21.8667 | − | 60.0783i | 0.710198 | − | 1.95125i | ||||
\(949\) | 4.69439 | + | 2.71031i | 0.152386 | + | 0.0879802i | ||||
\(950\) | 9.50089 | − | 7.10411i | 0.308250 | − | 0.230488i | ||||
\(951\) | − | 32.8669i | − | 1.06578i | ||||||
\(952\) | −7.77762 | − | 0.407418i | −0.252074 | − | 0.0132045i | ||||
\(953\) | 12.2003 | + | 14.5397i | 0.395206 | + | 0.470988i | 0.926552 | − | 0.376167i | \(-0.122758\pi\) |
−0.531346 | + | 0.847155i | \(0.678314\pi\) | |||||||
\(954\) | −3.79227 | − | 3.18209i | −0.122779 | − | 0.103024i | ||||
\(955\) | 5.14530 | + | 6.13193i | 0.166498 | + | 0.198425i | ||||
\(956\) | −21.3541 | + | 7.77227i | −0.690642 | + | 0.251373i | ||||
\(957\) | − | 17.8503i | − | 0.577017i | ||||||
\(958\) | −0.823155 | − | 1.42575i | −0.0265949 | − | 0.0460638i | ||||
\(959\) | −12.3370 | − | 5.23639i | −0.398383 | − | 0.169092i | ||||
\(960\) | −2.55306 | − | 0.450174i | −0.0823997 | − | 0.0145293i | ||||
\(961\) | 6.51073 | − | 11.2769i | 0.210024 | − | 0.363772i | ||||
\(962\) | −2.29390 | − | 3.97316i | −0.0739585 | − | 0.128100i | ||||
\(963\) | 19.7080 | + | 54.1472i | 0.635080 | + | 1.74487i | ||||
\(964\) | 1.04218 | + | 5.91052i | 0.0335665 | + | 0.190365i | ||||
\(965\) | −1.81515 | + | 0.660660i | −0.0584317 | + | 0.0212674i | ||||
\(966\) | 1.07652 | − | 20.5508i | 0.0346365 | − | 0.661211i | ||||
\(967\) | 3.44502 | + | 19.5377i | 0.110784 | + | 0.628289i | 0.988751 | + | 0.149568i | \(0.0477883\pi\) |
−0.877967 | + | 0.478721i | \(0.841101\pi\) | |||||||
\(968\) | −37.0870 | + | 21.4122i | −1.19202 | + | 0.688213i | ||||
\(969\) | −8.72174 | + | 13.3214i | −0.280183 | + | 0.427946i | ||||
\(970\) | −4.01276 | + | 6.95031i | −0.128842 | + | 0.223161i | ||||
\(971\) | −34.3665 | + | 28.8369i | −1.10287 | + | 0.925420i | −0.997615 | − | 0.0690247i | \(-0.978011\pi\) |
−0.105258 | + | 0.994445i | \(0.533567\pi\) | |||||||
\(972\) | 4.81140 | − | 4.03725i | 0.154326 | − | 0.129495i | ||||
\(973\) | −7.60286 | − | 10.0888i | −0.243736 | − | 0.323433i | ||||
\(974\) | −0.328331 | − | 0.119503i | −0.0105204 | − | 0.00382912i | ||||
\(975\) | 1.87320 | − | 10.6234i | 0.0599903 | − | 0.340222i | ||||
\(976\) | −1.70214 | + | 0.982728i | −0.0544840 | + | 0.0314564i | ||||
\(977\) | − | 51.8249i | − | 1.65803i | −0.559230 | − | 0.829013i | \(-0.688903\pi\) | ||
0.559230 | − | 0.829013i | \(-0.311097\pi\) | |||||||
\(978\) | 5.54530 | + | 15.2356i | 0.177319 | + | 0.487181i | ||||
\(979\) | −4.43462 | + | 25.1500i | −0.141731 | + | 0.803797i | ||||
\(980\) | −4.63414 | + | 9.50257i | −0.148032 | + | 0.303549i | ||||
\(981\) | −34.9948 | − | 20.2042i | −1.11730 | − | 0.645072i | ||||
\(982\) | −6.38268 | − | 1.12544i | −0.203679 | − | 0.0359142i | ||||
\(983\) | 18.5855 | − | 15.5951i | 0.592785 | − | 0.497405i | −0.296333 | − | 0.955085i | \(-0.595764\pi\) |
0.889117 | + | 0.457680i | \(0.151319\pi\) | |||||||
\(984\) | 51.5113 | + | 9.08282i | 1.64212 | + | 0.289550i | ||||
\(985\) | 6.48812 | − | 17.8260i | 0.206729 | − | 0.567983i | ||||
\(986\) | −0.915712 | + | 0.161465i | −0.0291622 | + | 0.00514209i | ||||
\(987\) | 16.2207 | + | 53.0508i | 0.516309 | + | 1.68862i | ||||
\(988\) | 1.75434 | + | 5.81558i | 0.0558131 | + | 0.185018i | ||||
\(989\) | 22.2645 | + | 38.5633i | 0.707971 | + | 1.22624i | ||||
\(990\) | 19.1117 | + | 6.95609i | 0.607410 | + | 0.221079i | ||||
\(991\) | 45.6431 | − | 8.04810i | 1.44990 | − | 0.255656i | 0.607418 | − | 0.794382i | \(-0.292205\pi\) |
0.842481 | + | 0.538726i | \(0.181094\pi\) | |||||||
\(992\) | 15.7371 | − | 18.7547i | 0.499652 | − | 0.595462i | ||||
\(993\) | −32.8773 | + | 90.3298i | −1.04333 | + | 2.86653i | ||||
\(994\) | −0.892444 | − | 7.26691i | −0.0283066 | − | 0.230492i | ||||
\(995\) | 1.08170 | − | 1.87356i | 0.0342923 | − | 0.0593959i | ||||
\(996\) | 33.4888 | + | 19.3348i | 1.06113 | + | 0.612646i | ||||
\(997\) | −9.78787 | + | 11.6647i | −0.309985 | + | 0.369426i | −0.898434 | − | 0.439109i | \(-0.855294\pi\) |
0.588449 | + | 0.808534i | \(0.299739\pi\) | |||||||
\(998\) | 8.49625 | − | 10.1254i | 0.268944 | − | 0.320515i | ||||
\(999\) | −53.6710 | − | 30.9870i | −1.69808 | − | 0.980384i |
(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 | 133.2.bf.a.10.5 | yes | 66 | |
7.2 | even | 3 | 931.2.bf.a.656.5 | 66 | |||
7.3 | odd | 6 | 931.2.be.b.48.7 | 66 | |||
7.4 | even | 3 | 931.2.be.a.48.7 | 66 | |||
7.5 | odd | 6 | 133.2.bb.a.124.5 | yes | 66 | ||
7.6 | odd | 2 | 931.2.bj.a.276.5 | 66 | |||
19.2 | odd | 18 | 133.2.bb.a.59.5 | ✓ | 66 | ||
133.2 | odd | 18 | 931.2.bj.a.705.5 | 66 | |||
133.40 | even | 18 | inner | 133.2.bf.a.40.5 | yes | 66 | |
133.59 | even | 18 | 931.2.be.a.97.7 | 66 | |||
133.97 | even | 18 | 931.2.bf.a.325.5 | 66 | |||
133.116 | odd | 18 | 931.2.be.b.97.7 | 66 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
133.2.bb.a.59.5 | ✓ | 66 | 19.2 | odd | 18 | ||
133.2.bb.a.124.5 | yes | 66 | 7.5 | odd | 6 | ||
133.2.bf.a.10.5 | yes | 66 | 1.1 | even | 1 | trivial | |
133.2.bf.a.40.5 | yes | 66 | 133.40 | even | 18 | inner | |
931.2.be.a.48.7 | 66 | 7.4 | even | 3 | |||
931.2.be.a.97.7 | 66 | 133.59 | even | 18 | |||
931.2.be.b.48.7 | 66 | 7.3 | odd | 6 | |||
931.2.be.b.97.7 | 66 | 133.116 | odd | 18 | |||
931.2.bf.a.325.5 | 66 | 133.97 | even | 18 | |||
931.2.bf.a.656.5 | 66 | 7.2 | even | 3 | |||
931.2.bj.a.276.5 | 66 | 7.6 | odd | 2 | |||
931.2.bj.a.705.5 | 66 | 133.2 | odd | 18 |