Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Character | \(\chi\) | \(=\) | 175.4 |
Dual form | 175.2.t.a.44.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.369436 | − | 1.73806i | −0.261230 | − | 1.22899i | −0.891645 | − | 0.452734i | \(-0.850449\pi\) |
0.630415 | − | 0.776258i | \(-0.282885\pi\) | |||||||
\(3\) | −0.0553691 | − | 0.124361i | −0.0319674 | − | 0.0717998i | 0.896856 | − | 0.442322i | \(-0.145845\pi\) |
−0.928823 | + | 0.370523i | \(0.879179\pi\) | |||||||
\(4\) | −1.05727 | + | 0.470728i | −0.528636 | + | 0.235364i | ||||
\(5\) | 2.20183 | − | 0.389777i | 0.984690 | − | 0.174314i | ||||
\(6\) | −0.195691 | + | 0.142178i | −0.0798906 | + | 0.0580439i | ||||
\(7\) | 1.92211 | + | 1.81810i | 0.726488 | + | 0.687179i | ||||
\(8\) | −0.880110 | − | 1.21137i | −0.311166 | − | 0.428283i | ||||
\(9\) | 1.99499 | − | 2.21566i | 0.664997 | − | 0.738554i | ||||
\(10\) | −1.49089 | − | 3.68292i | −0.471461 | − | 1.16464i | ||||
\(11\) | −0.599359 | − | 0.665656i | −0.180714 | − | 0.200703i | 0.645981 | − | 0.763353i | \(-0.276448\pi\) |
−0.826695 | + | 0.562650i | \(0.809782\pi\) | |||||||
\(12\) | 0.117080 | + | 0.105420i | 0.0337982 | + | 0.0304320i | ||||
\(13\) | −5.62497 | + | 1.82766i | −1.56009 | + | 0.506903i | −0.956831 | − | 0.290645i | \(-0.906130\pi\) |
−0.603256 | + | 0.797548i | \(0.706130\pi\) | |||||||
\(14\) | 2.44987 | − | 4.01241i | 0.654757 | − | 1.07236i | ||||
\(15\) | −0.170387 | − | 0.252241i | −0.0439936 | − | 0.0651283i | ||||
\(16\) | −3.32909 | + | 3.69733i | −0.832273 | + | 0.924332i | ||||
\(17\) | −2.03216 | + | 0.213589i | −0.492872 | + | 0.0518029i | −0.347705 | − | 0.937604i | \(-0.613039\pi\) |
−0.145168 | + | 0.989407i | \(0.546372\pi\) | |||||||
\(18\) | −4.58797 | − | 2.64887i | −1.08140 | − | 0.624344i | ||||
\(19\) | 3.36785 | + | 1.49946i | 0.772637 | + | 0.344000i | 0.754898 | − | 0.655843i | \(-0.227686\pi\) |
0.0177392 | + | 0.999843i | \(0.494353\pi\) | |||||||
\(20\) | −2.14446 | + | 1.44856i | −0.479515 | + | 0.323909i | ||||
\(21\) | 0.119676 | − | 0.339702i | 0.0261154 | − | 0.0741290i | ||||
\(22\) | −0.935524 | + | 1.28764i | −0.199454 | + | 0.274525i | ||||
\(23\) | 0.0408284 | + | 0.192082i | 0.00851330 | + | 0.0400519i | 0.982199 | − | 0.187842i | \(-0.0601493\pi\) |
−0.973686 | + | 0.227894i | \(0.926816\pi\) | |||||||
\(24\) | −0.101916 | + | 0.176524i | −0.0208035 | + | 0.0360328i | ||||
\(25\) | 4.69615 | − | 1.71645i | 0.939229 | − | 0.343290i | ||||
\(26\) | 5.25465 | + | 9.10133i | 1.03052 | + | 1.78492i | ||||
\(27\) | −0.774405 | − | 0.251619i | −0.149034 | − | 0.0484242i | ||||
\(28\) | −2.88802 | − | 1.01744i | −0.545785 | − | 0.192278i | ||||
\(29\) | −1.19212 | − | 0.866123i | −0.221370 | − | 0.160835i | 0.471573 | − | 0.881827i | \(-0.343686\pi\) |
−0.692943 | + | 0.720992i | \(0.743686\pi\) | |||||||
\(30\) | −0.375462 | + | 0.389329i | −0.0685497 | + | 0.0710813i | ||||
\(31\) | 0.168043 | + | 1.59883i | 0.0301815 | + | 0.287158i | 0.999194 | + | 0.0401455i | \(0.0127821\pi\) |
−0.969012 | + | 0.247012i | \(0.920551\pi\) | |||||||
\(32\) | 5.06260 | + | 2.92289i | 0.894950 | + | 0.516700i | ||||
\(33\) | −0.0495956 | + | 0.111394i | −0.00863349 | + | 0.0193911i | ||||
\(34\) | 1.12198 | + | 3.45311i | 0.192419 | + | 0.592204i | ||||
\(35\) | 4.94082 | + | 3.25397i | 0.835151 | + | 0.550021i | ||||
\(36\) | −1.06627 | + | 3.28166i | −0.177712 | + | 0.546943i | ||||
\(37\) | −6.48790 | − | 5.84173i | −1.06660 | − | 0.960374i | −0.0673016 | − | 0.997733i | \(-0.521439\pi\) |
−0.999302 | + | 0.0373585i | \(0.988106\pi\) | |||||||
\(38\) | 1.36195 | − | 6.40747i | 0.220937 | − | 1.03943i | ||||
\(39\) | 0.538740 | + | 0.598331i | 0.0862674 | + | 0.0958097i | ||||
\(40\) | −2.41002 | − | 2.32418i | −0.381058 | − | 0.367486i | ||||
\(41\) | 1.96439 | + | 6.04579i | 0.306787 | + | 0.944193i | 0.979004 | + | 0.203839i | \(0.0653420\pi\) |
−0.672217 | + | 0.740354i | \(0.734658\pi\) | |||||||
\(42\) | −0.634634 | − | 0.0825055i | −0.0979262 | − | 0.0127309i | ||||
\(43\) | 11.5179i | 1.75647i | 0.478232 | + | 0.878233i | \(0.341278\pi\) | ||||
−0.478232 | + | 0.878233i | \(0.658722\pi\) | |||||||
\(44\) | 0.947028 | + | 0.421644i | 0.142770 | + | 0.0635652i | ||||
\(45\) | 3.52903 | − | 5.65613i | 0.526076 | − | 0.843165i | ||||
\(46\) | 0.318767 | − | 0.141924i | 0.0469996 | − | 0.0209256i | ||||
\(47\) | 11.9751 | + | 1.25863i | 1.74674 | + | 0.183590i | 0.923371 | − | 0.383909i | \(-0.125422\pi\) |
0.823374 | + | 0.567499i | \(0.192089\pi\) | |||||||
\(48\) | 0.644132 | + | 0.209291i | 0.0929725 | + | 0.0302086i | ||||
\(49\) | 0.388997 | + | 6.98918i | 0.0555710 | + | 0.998455i | ||||
\(50\) | −4.71821 | − | 7.52806i | −0.667256 | − | 1.06463i | ||||
\(51\) | 0.139081 | + | 0.240896i | 0.0194753 | + | 0.0337321i | ||||
\(52\) | 5.08679 | − | 4.58017i | 0.705411 | − | 0.635155i | ||||
\(53\) | −0.853674 | − | 1.91738i | −0.117261 | − | 0.263373i | 0.845374 | − | 0.534175i | \(-0.179378\pi\) |
−0.962635 | + | 0.270802i | \(0.912711\pi\) | |||||||
\(54\) | −0.151236 | + | 1.43892i | −0.0205807 | + | 0.195812i | ||||
\(55\) | −1.57915 | − | 1.23205i | −0.212932 | − | 0.166129i | ||||
\(56\) | 0.510726 | − | 3.92851i | 0.0682486 | − | 0.524969i | ||||
\(57\) | − | 0.501852i | − | 0.0664720i | ||||||
\(58\) | −1.06496 | + | 2.39194i | −0.139836 | + | 0.314078i | ||||
\(59\) | 7.95382 | + | 1.69064i | 1.03550 | + | 0.220102i | 0.694147 | − | 0.719833i | \(-0.255782\pi\) |
0.341352 | + | 0.939935i | \(0.389115\pi\) | |||||||
\(60\) | 0.298882 | + | 0.186481i | 0.0385855 | + | 0.0240746i | ||||
\(61\) | −2.47611 | + | 0.526314i | −0.317034 | + | 0.0673876i | −0.363680 | − | 0.931524i | \(-0.618480\pi\) |
0.0466465 | + | 0.998911i | \(0.485147\pi\) | |||||||
\(62\) | 2.71677 | − | 0.882733i | 0.345030 | − | 0.112107i | ||||
\(63\) | 7.86289 | − | 0.631641i | 0.990632 | − | 0.0795793i | ||||
\(64\) | 0.134982 | − | 0.415431i | 0.0168727 | − | 0.0519289i | ||||
\(65\) | −11.6729 | + | 6.21670i | −1.44784 | + | 0.771087i | ||||
\(66\) | 0.211931 | + | 0.0450473i | 0.0260869 | + | 0.00554494i | ||||
\(67\) | −10.1173 | + | 1.06337i | −1.23603 | + | 0.129912i | −0.699910 | − | 0.714231i | \(-0.746777\pi\) |
−0.536118 | + | 0.844143i | \(0.680110\pi\) | |||||||
\(68\) | 2.04801 | − | 1.18242i | 0.248357 | − | 0.143389i | ||||
\(69\) | 0.0216269 | − | 0.0157129i | 0.00260358 | − | 0.00189161i | ||||
\(70\) | 3.83027 | − | 9.78956i | 0.457805 | − | 1.17008i | ||||
\(71\) | −9.11276 | − | 6.62080i | −1.08149 | − | 0.785745i | −0.103544 | − | 0.994625i | \(-0.533018\pi\) |
−0.977941 | + | 0.208880i | \(0.933018\pi\) | |||||||
\(72\) | −4.43980 | − | 0.466641i | −0.523235 | − | 0.0549942i | ||||
\(73\) | −7.43169 | + | 6.69152i | −0.869813 | + | 0.783183i | −0.977485 | − | 0.211003i | \(-0.932327\pi\) |
0.107672 | + | 0.994186i | \(0.465660\pi\) | |||||||
\(74\) | −7.75640 | + | 13.4345i | −0.901663 | + | 1.56173i | ||||
\(75\) | −0.473481 | − | 0.488979i | −0.0546729 | − | 0.0564625i | ||||
\(76\) | −4.26657 | −0.489409 | ||||||||
\(77\) | 0.0581984 | − | 2.36916i | 0.00663232 | − | 0.269991i | ||||
\(78\) | 0.840905 | − | 1.15741i | 0.0952137 | − | 0.131050i | ||||
\(79\) | 0.376564 | − | 3.58277i | 0.0423668 | − | 0.403093i | −0.952702 | − | 0.303906i | \(-0.901709\pi\) |
0.995069 | − | 0.0991872i | \(-0.0316243\pi\) | |||||||
\(80\) | −5.88897 | + | 9.43851i | −0.658407 | + | 1.05526i | ||||
\(81\) | −0.923359 | − | 8.78517i | −0.102595 | − | 0.976130i | ||||
\(82\) | 9.78221 | − | 5.64776i | 1.08026 | − | 0.623691i | ||||
\(83\) | −1.57843 | − | 2.17252i | −0.173255 | − | 0.238465i | 0.713555 | − | 0.700599i | \(-0.247084\pi\) |
−0.886810 | + | 0.462134i | \(0.847084\pi\) | |||||||
\(84\) | 0.0333772 | + | 0.415492i | 0.00364175 | + | 0.0453339i | ||||
\(85\) | −4.39124 | + | 1.26238i | −0.476296 | + | 0.136924i | ||||
\(86\) | 20.0188 | − | 4.25513i | 2.15868 | − | 0.458843i | ||||
\(87\) | −0.0417056 | + | 0.196209i | −0.00447131 | + | 0.0210358i | ||||
\(88\) | −0.278852 | + | 1.31189i | −0.0297257 | + | 0.139848i | ||||
\(89\) | −6.48906 | + | 1.37929i | −0.687839 | + | 0.146205i | −0.538556 | − | 0.842590i | \(-0.681030\pi\) |
−0.149283 | + | 0.988794i | \(0.547697\pi\) | |||||||
\(90\) | −11.1344 | − | 4.04408i | −1.17367 | − | 0.426283i | ||||
\(91\) | −14.1347 | − | 6.71382i | −1.48172 | − | 0.703799i | ||||
\(92\) | −0.133585 | − | 0.183864i | −0.0139272 | − | 0.0191692i | ||||
\(93\) | 0.189527 | − | 0.109424i | 0.0196531 | − | 0.0113467i | ||||
\(94\) | −2.23645 | − | 21.2784i | −0.230672 | − | 2.19470i | ||||
\(95\) | 7.99989 | + | 1.98886i | 0.820772 | + | 0.204052i | ||||
\(96\) | 0.0831824 | − | 0.791428i | 0.00848977 | − | 0.0807748i | ||||
\(97\) | 10.3597 | − | 14.2589i | 1.05187 | − | 1.44777i | 0.164688 | − | 0.986346i | \(-0.447338\pi\) |
0.887179 | − | 0.461425i | \(-0.152662\pi\) | |||||||
\(98\) | 12.0039 | − | 3.25815i | 1.21258 | − | 0.329123i | ||||
\(99\) | −2.67059 | −0.268404 | ||||||||
\(100\) | −4.15712 | + | 4.02536i | −0.415712 | + | 0.402536i | ||||
\(101\) | −4.58094 | + | 7.93442i | −0.455820 | + | 0.789504i | −0.998735 | − | 0.0502839i | \(-0.983987\pi\) |
0.542915 | + | 0.839788i | \(0.317321\pi\) | |||||||
\(102\) | 0.367309 | − | 0.330727i | 0.0363690 | − | 0.0327468i | ||||
\(103\) | −2.81451 | − | 0.295816i | −0.277321 | − | 0.0291477i | −0.0351532 | − | 0.999382i | \(-0.511192\pi\) |
−0.242168 | + | 0.970234i | \(0.577859\pi\) | |||||||
\(104\) | 7.16457 | + | 5.20537i | 0.702544 | + | 0.510428i | ||||
\(105\) | 0.131098 | − | 0.794614i | 0.0127939 | − | 0.0775464i | ||||
\(106\) | −3.01715 | + | 2.19209i | −0.293051 | + | 0.212914i | ||||
\(107\) | 9.66149 | − | 5.57806i | 0.934011 | − | 0.539252i | 0.0459333 | − | 0.998945i | \(-0.485374\pi\) |
0.888078 | + | 0.459693i | \(0.152040\pi\) | |||||||
\(108\) | 0.937201 | − | 0.0985038i | 0.0901822 | − | 0.00947853i | ||||
\(109\) | 5.96314 | + | 1.26750i | 0.571165 | + | 0.121405i | 0.484435 | − | 0.874827i | \(-0.339025\pi\) |
0.0867296 | + | 0.996232i | \(0.472358\pi\) | |||||||
\(110\) | −1.55798 | + | 3.19981i | −0.148547 | + | 0.305090i | ||||
\(111\) | −0.367254 | + | 1.13029i | −0.0348582 | + | 0.107283i | ||||
\(112\) | −13.1210 | + | 1.05403i | −1.23982 | + | 0.0995969i | ||||
\(113\) | −5.18982 | + | 1.68628i | −0.488217 | + | 0.158631i | −0.542773 | − | 0.839879i | \(-0.682626\pi\) |
0.0545558 | + | 0.998511i | \(0.482626\pi\) | |||||||
\(114\) | −0.872249 | + | 0.185402i | −0.0816936 | + | 0.0173645i | ||||
\(115\) | 0.164767 | + | 0.407019i | 0.0153646 | + | 0.0379548i | ||||
\(116\) | 1.66810 | + | 0.354565i | 0.154879 | + | 0.0329206i | ||||
\(117\) | −7.17229 | + | 16.1092i | −0.663078 | + | 1.48930i | ||||
\(118\) | − | 14.4488i | − | 1.33012i | ||||||
\(119\) | −4.29437 | − | 3.28414i | −0.393664 | − | 0.301057i | ||||
\(120\) | −0.155597 | + | 0.428400i | −0.0142040 | + | 0.0391074i | ||||
\(121\) | 1.06595 | − | 10.1418i | 0.0969043 | − | 0.921982i | ||||
\(122\) | 1.82953 | + | 4.10919i | 0.165638 | + | 0.372028i | ||||
\(123\) | 0.643093 | − | 0.579044i | 0.0579858 | − | 0.0522106i | ||||
\(124\) | −0.930280 | − | 1.61129i | −0.0835416 | − | 0.144698i | ||||
\(125\) | 9.67110 | − | 5.60979i | 0.865010 | − | 0.501755i | ||||
\(126\) | −4.00266 | − | 13.4328i | −0.356585 | − | 1.19669i | ||||
\(127\) | 11.8243 | + | 3.84194i | 1.04923 | + | 0.340917i | 0.782368 | − | 0.622817i | \(-0.214012\pi\) |
0.266866 | + | 0.963734i | \(0.414012\pi\) | |||||||
\(128\) | 10.8556 | + | 1.14097i | 0.959510 | + | 0.100849i | ||||
\(129\) | 1.43238 | − | 0.637737i | 0.126114 | − | 0.0561496i | ||||
\(130\) | 15.1174 | + | 17.9915i | 1.32588 | + | 1.57796i | ||||
\(131\) | −2.92838 | − | 1.30380i | −0.255853 | − | 0.113913i | 0.274802 | − | 0.961501i | \(-0.411388\pi\) |
−0.530656 | + | 0.847588i | \(0.678054\pi\) | |||||||
\(132\) | − | 0.141119i | − | 0.0122829i | ||||||
\(133\) | 3.74719 | + | 9.00522i | 0.324922 | + | 0.780852i | ||||
\(134\) | 5.58591 | + | 17.1916i | 0.482549 | + | 1.48513i | ||||
\(135\) | −1.80319 | − | 0.252179i | −0.155194 | − | 0.0217041i | ||||
\(136\) | 2.04726 | + | 2.27372i | 0.175551 | + | 0.194970i | ||||
\(137\) | 0.349457 | − | 1.64407i | 0.0298561 | − | 0.140462i | −0.960695 | − | 0.277606i | \(-0.910459\pi\) |
0.990551 | + | 0.137144i | \(0.0437923\pi\) | |||||||
\(138\) | −0.0352996 | − | 0.0317839i | −0.00300491 | − | 0.00270563i | ||||
\(139\) | 0.0192250 | − | 0.0591686i | 0.00163065 | − | 0.00501861i | −0.950238 | − | 0.311525i | \(-0.899160\pi\) |
0.951869 | + | 0.306507i | \(0.0991602\pi\) | |||||||
\(140\) | −6.75552 | − | 1.11455i | −0.570946 | − | 0.0941966i | ||||
\(141\) | −0.506524 | − | 1.55892i | −0.0426571 | − | 0.131285i | ||||
\(142\) | −8.14077 | + | 18.2845i | −0.683158 | + | 1.53440i | ||||
\(143\) | 4.58797 | + | 2.64887i | 0.383666 | + | 0.221510i | ||||
\(144\) | 1.55053 | + | 14.7523i | 0.129211 | + | 1.22936i | ||||
\(145\) | −2.96244 | − | 1.44240i | −0.246017 | − | 0.119785i | ||||
\(146\) | 14.3758 | + | 10.4446i | 1.18975 | + | 0.864403i | ||||
\(147\) | 0.847643 | − | 0.435361i | 0.0699124 | − | 0.0359079i | ||||
\(148\) | 9.60933 | + | 3.12226i | 0.789882 | + | 0.256648i | ||||
\(149\) | −10.9267 | − | 18.9256i | −0.895149 | − | 1.55044i | −0.833620 | − | 0.552339i | \(-0.813735\pi\) |
−0.0615297 | − | 0.998105i | \(-0.519598\pi\) | |||||||
\(150\) | −0.674954 | + | 1.00358i | −0.0551097 | + | 0.0819422i | ||||
\(151\) | 2.73477 | − | 4.73676i | 0.222552 | − | 0.385472i | −0.733030 | − | 0.680196i | \(-0.761894\pi\) |
0.955582 | + | 0.294724i | \(0.0952278\pi\) | |||||||
\(152\) | −1.14768 | − | 5.39939i | −0.0930888 | − | 0.437949i | ||||
\(153\) | −3.58091 | + | 4.92870i | −0.289499 | + | 0.398462i | ||||
\(154\) | −4.13924 | + | 0.774100i | −0.333549 | + | 0.0623787i | ||||
\(155\) | 0.993190 | + | 3.45485i | 0.0797750 | + | 0.277500i | ||||
\(156\) | −0.851245 | − | 0.378999i | −0.0681542 | − | 0.0303442i | ||||
\(157\) | −6.75475 | − | 3.89986i | −0.539088 | − | 0.311243i | 0.205621 | − | 0.978632i | \(-0.434078\pi\) |
−0.744709 | + | 0.667389i | \(0.767412\pi\) | |||||||
\(158\) | −6.36618 | + | 0.669113i | −0.506466 | + | 0.0532317i | ||||
\(159\) | −0.191181 | + | 0.212328i | −0.0151616 | + | 0.0168387i | ||||
\(160\) | 12.2863 | + | 4.46244i | 0.971316 | + | 0.352787i | ||||
\(161\) | −0.270749 | + | 0.443433i | −0.0213380 | + | 0.0349474i | ||||
\(162\) | −14.9280 | + | 4.85041i | −1.17286 | + | 0.381084i | ||||
\(163\) | 13.1814 | + | 11.8686i | 1.03245 | + | 0.929619i | 0.997563 | − | 0.0697727i | \(-0.0222274\pi\) |
0.0348832 | + | 0.999391i | \(0.488894\pi\) | |||||||
\(164\) | −4.92282 | − | 5.46734i | −0.384407 | − | 0.426928i | ||||
\(165\) | −0.0657827 | + | 0.264602i | −0.00512117 | + | 0.0205992i | ||||
\(166\) | −3.19284 | + | 3.54601i | −0.247812 | + | 0.275224i | ||||
\(167\) | −5.78918 | − | 7.96812i | −0.447980 | − | 0.616591i | 0.523982 | − | 0.851729i | \(-0.324446\pi\) |
−0.971962 | + | 0.235138i | \(0.924446\pi\) | |||||||
\(168\) | −0.516832 | + | 0.154004i | −0.0398745 | + | 0.0118816i | ||||
\(169\) | 17.7828 | − | 12.9199i | 1.36790 | − | 0.993841i | ||||
\(170\) | 3.81637 | + | 7.16585i | 0.292702 | + | 0.549596i | ||||
\(171\) | 10.0411 | − | 4.47060i | 0.767864 | − | 0.341875i | ||||
\(172\) | −5.42181 | − | 12.1776i | −0.413409 | − | 0.928531i | ||||
\(173\) | −4.13341 | − | 19.4462i | −0.314257 | − | 1.47846i | −0.797682 | − | 0.603078i | \(-0.793941\pi\) |
0.483425 | − | 0.875386i | \(-0.339393\pi\) | |||||||
\(174\) | 0.356431 | 0.0270209 | ||||||||
\(175\) | 12.1472 | + | 5.23888i | 0.918241 | + | 0.396022i | ||||
\(176\) | 4.45647 | 0.335919 | ||||||||
\(177\) | −0.230147 | − | 1.08275i | −0.0172989 | − | 0.0813848i | ||||
\(178\) | 4.79458 | + | 10.7688i | 0.359369 | + | 0.807156i | ||||
\(179\) | −16.3638 | + | 7.28564i | −1.22309 | + | 0.544555i | −0.913703 | − | 0.406382i | \(-0.866790\pi\) |
−0.309386 | + | 0.950936i | \(0.600124\pi\) | |||||||
\(180\) | −1.06864 | + | 7.64127i | −0.0796521 | + | 0.569547i | ||||
\(181\) | −6.41485 | + | 4.66066i | −0.476812 | + | 0.346424i | −0.800090 | − | 0.599880i | \(-0.795215\pi\) |
0.323278 | + | 0.946304i | \(0.395215\pi\) | |||||||
\(182\) | −6.44715 | + | 27.0472i | −0.477894 | + | 2.00487i | ||||
\(183\) | 0.202553 | + | 0.278790i | 0.0149731 | + | 0.0206088i | ||||
\(184\) | 0.196749 | − | 0.218512i | 0.0145045 | − | 0.0161089i | ||||
\(185\) | −16.5622 | − | 10.3337i | −1.21768 | − | 0.759747i | ||||
\(186\) | −0.260203 | − | 0.288984i | −0.0190790 | − | 0.0211894i | ||||
\(187\) | 1.36017 | + | 1.22470i | 0.0994657 | + | 0.0895593i | ||||
\(188\) | −13.2534 | + | 4.30629i | −0.966602 | + | 0.314068i | ||||
\(189\) | −1.03102 | − | 1.89159i | −0.0749956 | − | 0.137593i | ||||
\(190\) | 0.501300 | − | 14.6390i | 0.0363681 | − | 1.06203i | ||||
\(191\) | 3.62880 | − | 4.03019i | 0.262571 | − | 0.291614i | −0.597415 | − | 0.801932i | \(-0.703806\pi\) |
0.859986 | + | 0.510318i | \(0.170472\pi\) | |||||||
\(192\) | −0.0591372 | + | 0.00621557i | −0.00426786 | + | 0.000448570i | ||||
\(193\) | 6.52619 | + | 3.76790i | 0.469765 | + | 0.271219i | 0.716142 | − | 0.697955i | \(-0.245907\pi\) |
−0.246376 | + | 0.969174i | \(0.579240\pi\) | |||||||
\(194\) | −28.6100 | − | 12.7380i | −2.05408 | − | 0.914535i | ||||
\(195\) | 1.41943 | + | 1.10744i | 0.101648 | + | 0.0793052i | ||||
\(196\) | −3.70128 | − | 7.20635i | −0.264377 | − | 0.514740i | ||||
\(197\) | −7.01503 | + | 9.65536i | −0.499800 | + | 0.687916i | −0.982158 | − | 0.188059i | \(-0.939781\pi\) |
0.482358 | + | 0.875974i | \(0.339781\pi\) | |||||||
\(198\) | 0.986609 | + | 4.64163i | 0.0701153 | + | 0.329866i | ||||
\(199\) | −10.1092 | + | 17.5097i | −0.716623 | + | 1.24123i | 0.245708 | + | 0.969344i | \(0.420980\pi\) |
−0.962330 | + | 0.271883i | \(0.912354\pi\) | |||||||
\(200\) | −6.21238 | − | 4.17810i | −0.439282 | − | 0.295436i | ||||
\(201\) | 0.692429 | + | 1.19932i | 0.0488402 | + | 0.0845937i | ||||
\(202\) | 15.4828 | + | 5.03068i | 1.08937 | + | 0.353957i | ||||
\(203\) | −0.716674 | − | 3.83217i | −0.0503007 | − | 0.268966i | ||||
\(204\) | −0.260443 | − | 0.189223i | −0.0182346 | − | 0.0132482i | ||||
\(205\) | 6.68178 | + | 12.5461i | 0.466676 | + | 0.876260i | ||||
\(206\) | 0.525632 | + | 5.00106i | 0.0366225 | + | 0.348440i | ||||
\(207\) | 0.507042 | + | 0.292741i | 0.0352419 | + | 0.0203469i | ||||
\(208\) | 11.9686 | − | 26.8818i | 0.829871 | − | 1.86392i | ||||
\(209\) | −1.02042 | − | 3.14054i | −0.0705842 | − | 0.217236i | ||||
\(210\) | −1.42952 | + | 0.0657025i | −0.0986461 | + | 0.00453391i | ||||
\(211\) | −0.0373383 | + | 0.114915i | −0.00257047 | + | 0.00791110i | −0.952334 | − | 0.305059i | \(-0.901324\pi\) |
0.949763 | + | 0.312970i | \(0.101324\pi\) | |||||||
\(212\) | 1.80513 | + | 1.62535i | 0.123977 | + | 0.111629i | ||||
\(213\) | −0.318805 | + | 1.49986i | −0.0218442 | + | 0.102769i | ||||
\(214\) | −13.2643 | − | 14.7315i | −0.906728 | − | 1.00702i | ||||
\(215\) | 4.48943 | + | 25.3606i | 0.306176 | + | 1.72958i | ||||
\(216\) | 0.376758 | + | 1.15954i | 0.0256351 | + | 0.0788969i | ||||
\(217\) | −2.58384 | + | 3.37864i | −0.175402 | + | 0.229357i | ||||
\(218\) | − | 10.8325i | − | 0.733672i | ||||||
\(219\) | 1.24365 | + | 0.553709i | 0.0840381 | + | 0.0374162i | ||||
\(220\) | 2.24955 | + | 0.559260i | 0.151664 | + | 0.0377053i | ||||
\(221\) | 11.0405 | − | 4.91555i | 0.742664 | − | 0.330655i | ||||
\(222\) | 2.10019 | + | 0.220739i | 0.140956 | + | 0.0148150i | ||||
\(223\) | −18.2310 | − | 5.92362i | −1.22084 | − | 0.396675i | −0.373452 | − | 0.927650i | \(-0.621826\pi\) |
−0.847388 | + | 0.530975i | \(0.821826\pi\) | |||||||
\(224\) | 4.41674 | + | 14.8225i | 0.295106 | + | 0.990367i | ||||
\(225\) | 5.56570 | − | 13.8294i | 0.371047 | − | 0.921959i | ||||
\(226\) | 4.84815 | + | 8.39724i | 0.322494 | + | 0.558576i | ||||
\(227\) | −8.88718 | + | 8.00206i | −0.589863 | + | 0.531115i | −0.909110 | − | 0.416557i | \(-0.863237\pi\) |
0.319247 | + | 0.947672i | \(0.396570\pi\) | |||||||
\(228\) | 0.236236 | + | 0.530594i | 0.0156451 | + | 0.0351395i | ||||
\(229\) | 1.42254 | − | 13.5346i | 0.0940041 | − | 0.894389i | −0.841306 | − | 0.540560i | \(-0.818213\pi\) |
0.935310 | − | 0.353830i | \(-0.115121\pi\) | |||||||
\(230\) | 0.646553 | − | 0.436741i | 0.0426324 | − | 0.0287979i | ||||
\(231\) | −0.297853 | + | 0.123941i | −0.0195973 | + | 0.00815469i | ||||
\(232\) | 2.20638i | 0.144856i | ||||||||
\(233\) | −1.47321 | + | 3.30888i | −0.0965132 | + | 0.216772i | −0.955350 | − | 0.295478i | \(-0.904521\pi\) |
0.858836 | + | 0.512250i | \(0.171188\pi\) | |||||||
\(234\) | 30.6485 | + | 6.51453i | 2.00355 | + | 0.425868i | ||||
\(235\) | 26.8577 | − | 1.89632i | 1.75200 | − | 0.123702i | ||||
\(236\) | −9.20518 | + | 1.95662i | −0.599206 | + | 0.127365i | ||||
\(237\) | −0.466407 | + | 0.151545i | −0.0302964 | + | 0.00984389i | ||||
\(238\) | −4.12154 | + | 8.67714i | −0.267160 | + | 0.562455i | ||||
\(239\) | 5.63387 | − | 17.3393i | 0.364425 | − | 1.12158i | −0.585916 | − | 0.810372i | \(-0.699265\pi\) |
0.950341 | − | 0.311212i | \(-0.100735\pi\) | |||||||
\(240\) | 1.49985 | + | 0.209756i | 0.0968149 | + | 0.0135397i | ||||
\(241\) | 14.3390 | + | 3.04784i | 0.923653 | + | 0.196329i | 0.645105 | − | 0.764094i | \(-0.276814\pi\) |
0.278548 | + | 0.960422i | \(0.410147\pi\) | |||||||
\(242\) | −18.0208 | + | 1.89407i | −1.15842 | + | 0.121755i | ||||
\(243\) | −3.15691 | + | 1.82264i | −0.202516 | + | 0.116923i | ||||
\(244\) | 2.37017 | − | 1.72203i | 0.151735 | − | 0.110242i | ||||
\(245\) | 3.58073 | + | 15.2374i | 0.228765 | + | 0.973482i | ||||
\(246\) | −1.24399 | − | 0.903814i | −0.0793141 | − | 0.0576251i | ||||
\(247\) | −21.6846 | − | 2.27914i | −1.37976 | − | 0.145018i | ||||
\(248\) | 1.78887 | − | 1.61071i | 0.113593 | − | 0.102280i | ||||
\(249\) | −0.182781 | + | 0.316585i | −0.0115833 | + | 0.0200628i | ||||
\(250\) | −13.3230 | − | 14.7365i | −0.842620 | − | 0.932017i | ||||
\(251\) | 3.37510 | 0.213034 | 0.106517 | − | 0.994311i | \(-0.466030\pi\) | ||||
0.106517 | + | 0.994311i | \(0.466030\pi\) | |||||||
\(252\) | −8.01589 | + | 4.36910i | −0.504953 | + | 0.275227i | ||||
\(253\) | 0.103390 | − | 0.142304i | 0.00650006 | − | 0.00894657i | ||||
\(254\) | 2.30920 | − | 21.9706i | 0.144892 | − | 1.37856i | ||||
\(255\) | 0.400129 | + | 0.476202i | 0.0250571 | + | 0.0298209i | ||||
\(256\) | −2.11870 | − | 20.1580i | −0.132418 | − | 1.25988i | ||||
\(257\) | 6.11524 | − | 3.53064i | 0.381458 | − | 0.220235i | −0.296994 | − | 0.954879i | \(-0.595984\pi\) |
0.678453 | + | 0.734644i | \(0.262651\pi\) | |||||||
\(258\) | −1.63760 | − | 2.25396i | −0.101952 | − | 0.140325i | ||||
\(259\) | −1.84957 | − | 23.0241i | −0.114927 | − | 1.43065i | ||||
\(260\) | 9.41503 | − | 12.0675i | 0.583895 | − | 0.748394i | ||||
\(261\) | −4.29730 | + | 0.913419i | −0.265996 | + | 0.0565392i | ||||
\(262\) | −1.18423 | + | 5.57135i | −0.0731618 | + | 0.344199i | ||||
\(263\) | 5.91290 | − | 27.8180i | 0.364605 | − | 1.71533i | −0.287998 | − | 0.957631i | \(-0.592990\pi\) |
0.652603 | − | 0.757700i | \(-0.273677\pi\) | |||||||
\(264\) | 0.178588 | − | 0.0379601i | 0.0109913 | − | 0.00233628i | ||||
\(265\) | −2.62700 | − | 3.88902i | −0.161375 | − | 0.238900i | ||||
\(266\) | 14.2673 | − | 9.83968i | 0.874781 | − | 0.603309i | ||||
\(267\) | 0.530823 | + | 0.730616i | 0.0324859 | + | 0.0447130i | ||||
\(268\) | 10.1962 | − | 5.88678i | 0.622832 | − | 0.359592i | ||||
\(269\) | −1.65661 | − | 15.7616i | −0.101005 | − | 0.961002i | −0.921245 | − | 0.388982i | \(-0.872827\pi\) |
0.820240 | − | 0.572020i | \(-0.193840\pi\) | |||||||
\(270\) | 0.227860 | + | 3.22721i | 0.0138671 | + | 0.196402i | ||||
\(271\) | −1.06149 | + | 10.0994i | −0.0644807 | + | 0.613493i | 0.913794 | + | 0.406178i | \(0.133139\pi\) |
−0.978274 | + | 0.207314i | \(0.933528\pi\) | |||||||
\(272\) | 5.97555 | − | 8.22464i | 0.362321 | − | 0.498692i | ||||
\(273\) | −0.0523122 | + | 2.12954i | −0.00316608 | + | 0.128886i | ||||
\(274\) | −2.98658 | −0.180426 | ||||||||
\(275\) | −3.95724 | − | 2.09725i | −0.238631 | − | 0.126469i | ||||
\(276\) | −0.0154690 | + | 0.0267932i | −0.000931127 | + | 0.00161276i | ||||
\(277\) | 15.7860 | − | 14.2138i | 0.948487 | − | 0.854022i | −0.0409239 | − | 0.999162i | \(-0.513030\pi\) |
0.989411 | + | 0.145141i | \(0.0463635\pi\) | |||||||
\(278\) | −0.109941 | − | 0.0115552i | −0.00659381 | − | 0.000693038i | ||||
\(279\) | 3.87771 | + | 2.81732i | 0.232152 | + | 0.168668i | ||||
\(280\) | −0.406712 | − | 8.84900i | −0.0243057 | − | 0.528829i | ||||
\(281\) | −16.1276 | + | 11.7174i | −0.962094 | + | 0.699003i | −0.953636 | − | 0.300962i | \(-0.902692\pi\) |
−0.00845822 | + | 0.999964i | \(0.502692\pi\) | |||||||
\(282\) | −2.52237 | + | 1.45629i | −0.150205 | + | 0.0867208i | ||||
\(283\) | 13.8060 | − | 1.45107i | 0.820682 | − | 0.0862572i | 0.315125 | − | 0.949050i | \(-0.397954\pi\) |
0.505557 | + | 0.862793i | \(0.331287\pi\) | |||||||
\(284\) | 12.7513 | + | 2.71036i | 0.756648 | + | 0.160830i | ||||
\(285\) | −0.195611 | − | 1.10500i | −0.0115870 | − | 0.0654543i | ||||
\(286\) | 2.90893 | − | 8.95275i | 0.172008 | − | 0.529387i | ||||
\(287\) | −7.21609 | + | 15.1921i | −0.425952 | + | 0.896763i | ||||
\(288\) | 16.5760 | − | 5.38587i | 0.976750 | − | 0.317365i | ||||
\(289\) | −12.5444 | + | 2.66640i | −0.737908 | + | 0.156847i | ||||
\(290\) | −1.41254 | + | 5.68176i | −0.0829475 | + | 0.333645i | ||||
\(291\) | −2.34686 | − | 0.498840i | −0.137575 | − | 0.0292425i | ||||
\(292\) | 4.70743 | − | 10.5731i | 0.275481 | − | 0.618741i | ||||
\(293\) | 8.17516i | 0.477598i | 0.971069 | + | 0.238799i | \(0.0767537\pi\) | ||||
−0.971069 | + | 0.238799i | \(0.923246\pi\) | |||||||
\(294\) | −1.06983 | − | 1.31242i | −0.0623939 | − | 0.0765416i | ||||
\(295\) | 18.1720 | + | 0.622282i | 1.05801 | + | 0.0362307i | ||||
\(296\) | −1.36642 | + | 13.0006i | −0.0794214 | + | 0.755644i | ||||
\(297\) | 0.296655 | + | 0.666298i | 0.0172137 | + | 0.0386625i | ||||
\(298\) | −28.8571 | + | 25.9830i | −1.67164 | + | 1.50516i | ||||
\(299\) | −0.580721 | − | 1.00584i | −0.0335839 | − | 0.0581691i | ||||
\(300\) | 0.730774 | + | 0.294103i | 0.0421913 | + | 0.0169801i | ||||
\(301\) | −20.9408 | + | 22.1387i | −1.20701 | + | 1.27605i | ||||
\(302\) | −9.24309 | − | 3.00326i | −0.531880 | − | 0.172818i | ||||
\(303\) | 1.24037 | + | 0.130369i | 0.0712576 | + | 0.00748948i | ||||
\(304\) | −16.7559 | + | 7.46019i | −0.961015 | + | 0.427871i | ||||
\(305\) | −5.24684 | + | 2.12399i | −0.300433 | + | 0.121619i | ||||
\(306\) | 9.88928 | + | 4.40299i | 0.565332 | + | 0.251702i | ||||
\(307\) | 21.6183i | 1.23382i | 0.787033 | + | 0.616911i | \(0.211616\pi\) | ||||
−0.787033 | + | 0.616911i | \(0.788384\pi\) | |||||||
\(308\) | 1.05370 | + | 2.53224i | 0.0600400 | + | 0.144288i | ||||
\(309\) | 0.119049 | + | 0.366394i | 0.00677244 | + | 0.0208434i | ||||
\(310\) | 5.63781 | − | 3.00257i | 0.320206 | − | 0.170534i | ||||
\(311\) | −4.15482 | − | 4.61440i | −0.235598 | − | 0.261658i | 0.613739 | − | 0.789509i | \(-0.289665\pi\) |
−0.849337 | + | 0.527851i | \(0.822998\pi\) | |||||||
\(312\) | 0.250649 | − | 1.17921i | 0.0141902 | − | 0.0667596i | ||||
\(313\) | 7.23016 | + | 6.51006i | 0.408673 | + | 0.367971i | 0.847675 | − | 0.530515i | \(-0.178002\pi\) |
−0.439003 | + | 0.898486i | \(0.644668\pi\) | |||||||
\(314\) | −4.28273 | + | 13.1809i | −0.241689 | + | 0.743841i | ||||
\(315\) | 17.0666 | − | 4.45555i | 0.961593 | − | 0.251042i | ||||
\(316\) | 1.28838 | + | 3.96522i | 0.0724770 | + | 0.223061i | ||||
\(317\) | 8.45507 | − | 18.9904i | 0.474884 | − | 1.06661i | −0.504281 | − | 0.863540i | \(-0.668242\pi\) |
0.979165 | − | 0.203067i | \(-0.0650909\pi\) | |||||||
\(318\) | 0.439666 | + | 0.253842i | 0.0246553 | + | 0.0142347i | ||||
\(319\) | 0.137966 | + | 1.31266i | 0.00772461 | + | 0.0734947i | ||||
\(320\) | 0.135282 | − | 0.967323i | 0.00756248 | − | 0.0540750i | ||||
\(321\) | −1.22864 | − | 0.892660i | −0.0685761 | − | 0.0498234i | ||||
\(322\) | 0.870737 | + | 0.306758i | 0.0485243 | + | 0.0170949i | ||||
\(323\) | −7.16428 | − | 2.32782i | −0.398631 | − | 0.129523i | ||||
\(324\) | 5.11166 | + | 8.85366i | 0.283981 | + | 0.491870i | ||||
\(325\) | −23.2786 | + | 18.2380i | −1.29126 | + | 1.01166i | ||||
\(326\) | 15.7586 | − | 27.2947i | 0.872788 | − | 1.51171i | ||||
\(327\) | −0.172545 | − | 0.811762i | −0.00954178 | − | 0.0448906i | ||||
\(328\) | 5.59479 | − | 7.70056i | 0.308920 | − | 0.425192i | ||||
\(329\) | 20.7291 | + | 24.1912i | 1.14283 | + | 1.33370i | ||||
\(330\) | 0.484195 | + | 0.0165808i | 0.0266541 | + | 0.000912744i | ||||
\(331\) | 6.75298 | + | 3.00662i | 0.371177 | + | 0.165259i | 0.583844 | − | 0.811866i | \(-0.301548\pi\) |
−0.212666 | + | 0.977125i | \(0.568215\pi\) | |||||||
\(332\) | 2.69149 | + | 1.55393i | 0.147715 | + | 0.0852832i | ||||
\(333\) | −25.8866 | + | 2.72079i | −1.41858 | + | 0.149098i | ||||
\(334\) | −11.7103 | + | 13.0056i | −0.640760 | + | 0.711636i | ||||
\(335\) | −21.8622 | + | 6.28488i | −1.19446 | + | 0.343380i | ||||
\(336\) | 0.857578 | + | 1.57338i | 0.0467847 | + | 0.0858349i | ||||
\(337\) | 27.2953 | − | 8.86877i | 1.48687 | − | 0.483113i | 0.550711 | − | 0.834696i | \(-0.314357\pi\) |
0.936157 | + | 0.351583i | \(0.114357\pi\) | |||||||
\(338\) | −29.0252 | − | 26.1344i | −1.57876 | − | 1.42152i | ||||
\(339\) | 0.497063 | + | 0.552044i | 0.0269967 | + | 0.0299829i | ||||
\(340\) | 4.04849 | − | 3.40175i | 0.219560 | − | 0.184486i | ||||
\(341\) | 0.963550 | − | 1.07013i | 0.0521791 | − | 0.0579508i | ||||
\(342\) | −11.4797 | − | 15.8005i | −0.620752 | − | 0.854391i | ||||
\(343\) | −11.9594 | + | 14.1412i | −0.645745 | + | 0.763553i | ||||
\(344\) | 13.9524 | − | 10.1370i | 0.752265 | − | 0.546553i | ||||
\(345\) | 0.0414944 | − | 0.0430268i | 0.00223398 | − | 0.00231649i | ||||
\(346\) | −32.2715 | + | 14.3682i | −1.73493 | + | 0.772440i | ||||
\(347\) | −6.49776 | − | 14.5942i | −0.348818 | − | 0.783459i | −0.999705 | − | 0.0242838i | \(-0.992269\pi\) |
0.650887 | − | 0.759175i | \(-0.274397\pi\) | |||||||
\(348\) | −0.0482670 | − | 0.227078i | −0.00258738 | − | 0.0121727i | ||||
\(349\) | −30.2549 | −1.61951 | −0.809754 | − | 0.586770i | \(-0.800399\pi\) | ||||
−0.809754 | + | 0.586770i | \(0.800399\pi\) | |||||||
\(350\) | 4.61787 | − | 23.0479i | 0.246836 | − | 1.23196i | ||||
\(351\) | 4.81588 | 0.257053 | ||||||||
\(352\) | −1.08867 | − | 5.12181i | −0.0580266 | − | 0.272994i | ||||
\(353\) | −3.70337 | − | 8.31791i | −0.197111 | − | 0.442718i | 0.787766 | − | 0.615975i | \(-0.211238\pi\) |
−0.984877 | + | 0.173257i | \(0.944571\pi\) | |||||||
\(354\) | −1.79687 | + | 0.800016i | −0.0955023 | + | 0.0425204i | ||||
\(355\) | −22.6454 | − | 11.0260i | −1.20189 | − | 0.585198i | ||||
\(356\) | 6.21143 | − | 4.51287i | 0.329205 | − | 0.239181i | ||||
\(357\) | −0.170644 | + | 0.715892i | −0.00903146 | + | 0.0378890i | ||||
\(358\) | 18.7083 | + | 25.7497i | 0.988762 | + | 1.36091i | ||||
\(359\) | −15.7563 | + | 17.4992i | −0.831587 | + | 0.923571i | −0.998046 | − | 0.0624772i | \(-0.980100\pi\) |
0.166459 | + | 0.986048i | \(0.446767\pi\) | |||||||
\(360\) | −9.95758 | + | 0.703065i | −0.524811 | + | 0.0370548i | ||||
\(361\) | −3.61948 | − | 4.01984i | −0.190499 | − | 0.211571i | ||||
\(362\) | 10.4704 | + | 9.42757i | 0.550311 | + | 0.495502i | ||||
\(363\) | −1.32027 | + | 0.428980i | −0.0692960 | + | 0.0225156i | ||||
\(364\) | 18.1046 | + | 0.444739i | 0.948938 | + | 0.0233107i | ||||
\(365\) | −13.7551 | + | 17.6303i | −0.719977 | + | 0.922813i | ||||
\(366\) | 0.409723 | − | 0.455044i | 0.0214166 | − | 0.0237855i | ||||
\(367\) | 35.7670 | − | 3.75926i | 1.86702 | − | 0.196232i | 0.897463 | − | 0.441090i | \(-0.145408\pi\) |
0.969559 | + | 0.244858i | \(0.0787415\pi\) | |||||||
\(368\) | −0.846113 | − | 0.488504i | −0.0441067 | − | 0.0254650i | ||||
\(369\) | 17.3144 | + | 7.70886i | 0.901350 | + | 0.401307i | ||||
\(370\) | −11.8419 | + | 32.6038i | −0.615629 | + | 1.69499i | ||||
\(371\) | 1.84515 | − | 5.23749i | 0.0957953 | − | 0.271917i | ||||
\(372\) | −0.148873 | + | 0.204906i | −0.00771871 | + | 0.0106239i | ||||
\(373\) | 1.47924 | + | 6.95928i | 0.0765921 | + | 0.360338i | 0.999707 | − | 0.0241855i | \(-0.00769923\pi\) |
−0.923115 | + | 0.384523i | \(0.874366\pi\) | |||||||
\(374\) | 1.62611 | − | 2.81651i | 0.0840842 | − | 0.145638i | ||||
\(375\) | −1.23312 | − | 0.892099i | −0.0636780 | − | 0.0460678i | ||||
\(376\) | −9.01472 | − | 15.6140i | −0.464899 | − | 0.805229i | ||||
\(377\) | 8.28861 | + | 2.69313i | 0.426885 | + | 0.138703i | ||||
\(378\) | −2.90679 | + | 2.49079i | −0.149509 | + | 0.128113i | ||||
\(379\) | 7.76350 | + | 5.64052i | 0.398784 | + | 0.289734i | 0.769046 | − | 0.639194i | \(-0.220732\pi\) |
−0.370261 | + | 0.928928i | \(0.620732\pi\) | |||||||
\(380\) | −9.39427 | + | 1.66301i | −0.481916 | + | 0.0853107i | ||||
\(381\) | −0.176912 | − | 1.68320i | −0.00906346 | − | 0.0862330i | ||||
\(382\) | −8.34532 | − | 4.81817i | −0.426983 | − | 0.246519i | ||||
\(383\) | −1.83085 | + | 4.11215i | −0.0935520 | + | 0.210121i | −0.954260 | − | 0.298977i | \(-0.903354\pi\) |
0.860708 | + | 0.509099i | \(0.170021\pi\) | |||||||
\(384\) | −0.459173 | − | 1.41319i | −0.0234321 | − | 0.0721165i | ||||
\(385\) | −0.795302 | − | 5.23918i | −0.0405323 | − | 0.267013i | ||||
\(386\) | 4.13782 | − | 12.7349i | 0.210609 | − | 0.648189i | ||||
\(387\) | 25.5198 | + | 22.9782i | 1.29725 | + | 1.16805i | ||||
\(388\) | −4.24095 | + | 19.9521i | −0.215302 | + | 1.01291i | ||||
\(389\) | 14.1186 | + | 15.6803i | 0.715843 | + | 0.795024i | 0.985814 | − | 0.167844i | \(-0.0536805\pi\) |
−0.269970 | + | 0.962869i | \(0.587014\pi\) | |||||||
\(390\) | 1.40040 | − | 2.87618i | 0.0709121 | − | 0.145641i | ||||
\(391\) | −0.123997 | − | 0.381622i | −0.00627078 | − | 0.0192995i | ||||
\(392\) | 8.12411 | − | 6.62247i | 0.410330 | − | 0.334485i | ||||
\(393\) | 0.436366i | 0.0220117i | ||||||||
\(394\) | 19.3732 | + | 8.62549i | 0.976006 | + | 0.434546i | ||||
\(395\) | −0.567351 | − | 8.03545i | −0.0285465 | − | 0.404307i | ||||
\(396\) | 2.82353 | − | 1.25712i | 0.141888 | − | 0.0631726i | ||||
\(397\) | 4.67115 | + | 0.490957i | 0.234438 | + | 0.0246405i | 0.221019 | − | 0.975270i | \(-0.429062\pi\) |
0.0134192 | + | 0.999910i | \(0.495728\pi\) | |||||||
\(398\) | 34.1675 | + | 11.1017i | 1.71266 | + | 0.556478i | ||||
\(399\) | 0.912420 | − | 0.964615i | 0.0456781 | − | 0.0482911i | ||||
\(400\) | −9.28762 | + | 23.0774i | −0.464381 | + | 1.15387i | ||||
\(401\) | −0.532582 | − | 0.922460i | −0.0265959 | − | 0.0460654i | 0.852421 | − | 0.522856i | \(-0.175133\pi\) |
−0.879017 | + | 0.476790i | \(0.841800\pi\) | |||||||
\(402\) | 1.82868 | − | 1.64655i | 0.0912065 | − | 0.0821227i | ||||
\(403\) | −3.86736 | − | 8.68623i | −0.192647 | − | 0.432692i | ||||
\(404\) | 1.10835 | − | 10.5452i | 0.0551423 | − | 0.524644i | ||||
\(405\) | −5.45734 | − | 18.9836i | −0.271178 | − | 0.943302i | ||||
\(406\) | −6.39578 | + | 2.66136i | −0.317417 | + | 0.132081i | ||||
\(407\) | 7.82000i | 0.387623i | ||||||||
\(408\) | 0.169407 | − | 0.380493i | 0.00838687 | − | 0.0188372i | ||||
\(409\) | 16.7809 | + | 3.56689i | 0.829762 | + | 0.176371i | 0.603164 | − | 0.797617i | \(-0.293906\pi\) |
0.226598 | + | 0.973988i | \(0.427240\pi\) | |||||||
\(410\) | 19.3374 | − | 16.2483i | 0.955008 | − | 0.802447i | ||||
\(411\) | −0.223807 | + | 0.0475716i | −0.0110396 | + | 0.00234653i | ||||
\(412\) | 3.11495 | − | 1.01211i | 0.153462 | − | 0.0498630i | ||||
\(413\) | 12.2144 | + | 17.7105i | 0.601029 | + | 0.871475i | ||||
\(414\) | 0.321481 | − | 0.989417i | 0.0157999 | − | 0.0486272i | ||||
\(415\) | −4.32224 | − | 4.16829i | −0.212170 | − | 0.204614i | ||||
\(416\) | −33.8191 | − | 7.18847i | −1.65812 | − | 0.352444i | ||||
\(417\) | −0.00842274 | 0.000885265i | −0.000412463 | 4.33516e-5i | ||||||
\(418\) | −5.08146 | + | 2.93378i | −0.248542 | + | 0.143496i | ||||
\(419\) | −20.0431 | + | 14.5622i | −0.979170 | + | 0.711409i | −0.957523 | − | 0.288357i | \(-0.906891\pi\) |
−0.0216469 | + | 0.999766i | \(0.506891\pi\) | |||||||
\(420\) | 0.235441 | + | 0.901835i | 0.0114883 | + | 0.0440050i | ||||
\(421\) | −8.45029 | − | 6.13949i | −0.411842 | − | 0.299221i | 0.362505 | − | 0.931982i | \(-0.381921\pi\) |
−0.774347 | + | 0.632761i | \(0.781921\pi\) | |||||||
\(422\) | 0.213524 | + | 0.0224423i | 0.0103942 | + | 0.00109247i | ||||
\(423\) | 26.6789 | − | 24.0218i | 1.29717 | − | 1.16798i | ||||
\(424\) | −1.57133 | + | 2.72162i | −0.0763105 | + | 0.132174i | ||||
\(425\) | −9.17673 | + | 4.49115i | −0.445137 | + | 0.217853i | ||||
\(426\) | 2.72462 | 0.132008 | ||||||||
\(427\) | −5.71625 | − | 3.49020i | −0.276629 | − | 0.168902i | ||||
\(428\) | −7.58907 | + | 10.4455i | −0.366832 | + | 0.504900i | ||||
\(429\) | 0.0753840 | − | 0.717230i | 0.00363957 | − | 0.0346282i | ||||
\(430\) | 42.4196 | − | 17.1720i | 2.04565 | − | 0.828106i | ||||
\(431\) | 3.31433 | + | 31.5337i | 0.159645 | + | 1.51893i | 0.721921 | + | 0.691975i | \(0.243259\pi\) |
−0.562276 | + | 0.826950i | \(0.690074\pi\) | |||||||
\(432\) | 3.50838 | − | 2.02557i | 0.168797 | − | 0.0974551i | ||||
\(433\) | 11.1442 | + | 15.3387i | 0.535556 | + | 0.737130i | 0.987964 | − | 0.154681i | \(-0.0494349\pi\) |
−0.452408 | + | 0.891811i | \(0.649435\pi\) | |||||||
\(434\) | 6.82683 | + | 3.24267i | 0.327698 | + | 0.155653i | ||||
\(435\) | −0.0153508 | + | 0.448276i | −0.000736014 | + | 0.0214932i | ||||
\(436\) | −6.90131 | + | 1.46692i | −0.330513 | + | 0.0702526i | ||||
\(437\) | −0.150516 | + | 0.708124i | −0.00720018 | + | 0.0338742i | ||||
\(438\) | 0.502929 | − | 2.36610i | 0.0240309 | − | 0.113056i | ||||
\(439\) | −4.88854 | + | 1.03909i | −0.233317 | + | 0.0495931i | −0.323086 | − | 0.946369i | \(-0.604720\pi\) |
0.0897691 | + | 0.995963i | \(0.471387\pi\) | |||||||
\(440\) | −0.102639 | + | 2.99726i | −0.00489310 | + | 0.142889i | ||||
\(441\) | 16.2617 | + | 13.0815i | 0.774368 | + | 0.622928i | ||||
\(442\) | −12.6223 | − | 17.3731i | −0.600380 | − | 0.826352i | ||||
\(443\) | 2.82224 | − | 1.62942i | 0.134089 | − | 0.0774162i | −0.431455 | − | 0.902134i | \(-0.642000\pi\) |
0.565544 | + | 0.824718i | \(0.308666\pi\) | |||||||
\(444\) | −0.143772 | − | 1.36790i | −0.00682314 | − | 0.0649178i | ||||
\(445\) | −13.7502 | + | 5.56626i | −0.651823 | + | 0.263866i | ||||
\(446\) | −3.56040 | + | 33.8750i | −0.168590 | + | 1.60403i | ||||
\(447\) | −1.74860 | + | 2.40675i | −0.0827061 | + | 0.113835i | ||||
\(448\) | 1.01475 | − | 0.553092i | 0.0479422 | − | 0.0261312i | ||||
\(449\) | 18.7348 | 0.884151 | 0.442076 | − | 0.896978i | \(-0.354242\pi\) | ||||
0.442076 | + | 0.896978i | \(0.354242\pi\) | |||||||
\(450\) | −26.0924 | − | 4.56444i | −1.23001 | − | 0.215170i | ||||
\(451\) | 2.84703 | − | 4.93121i | 0.134062 | − | 0.232201i | ||||
\(452\) | 4.69328 | − | 4.22585i | 0.220753 | − | 0.198767i | ||||
\(453\) | −0.740490 | − | 0.0778286i | −0.0347913 | − | 0.00365671i | ||||
\(454\) | 17.1913 | + | 12.4902i | 0.806827 | + | 0.586194i | ||||
\(455\) | −33.7391 | − | 9.27333i | −1.58172 | − | 0.434740i | ||||
\(456\) | −0.607928 | + | 0.441686i | −0.0284688 | + | 0.0206838i | ||||
\(457\) | 23.5235 | − | 13.5813i | 1.10038 | − | 0.635306i | 0.164061 | − | 0.986450i | \(-0.447541\pi\) |
0.936322 | + | 0.351144i | \(0.114207\pi\) | |||||||
\(458\) | −24.0494 | + | 2.52769i | −1.12375 | + | 0.118111i | ||||
\(459\) | 1.62746 | + | 0.345928i | 0.0759634 | + | 0.0161465i | ||||
\(460\) | −0.365798 | − | 0.352770i | −0.0170554 | − | 0.0164480i | ||||
\(461\) | −4.36190 | + | 13.4245i | −0.203154 | + | 0.625243i | 0.796630 | + | 0.604467i | \(0.206614\pi\) |
−0.999784 | + | 0.0207762i | \(0.993386\pi\) | |||||||
\(462\) | 0.325453 | + | 0.471898i | 0.0151415 | + | 0.0219547i | ||||
\(463\) | 17.1480 | − | 5.57173i | 0.796936 | − | 0.258940i | 0.117881 | − | 0.993028i | \(-0.462390\pi\) |
0.679055 | + | 0.734087i | \(0.262390\pi\) | |||||||
\(464\) | 7.17101 | − | 1.52424i | 0.332906 | − | 0.0707613i | ||||
\(465\) | 0.374657 | − | 0.314806i | 0.0173743 | − | 0.0145988i | ||||
\(466\) | 6.29529 | + | 1.33810i | 0.291624 | + | 0.0619865i | ||||
\(467\) | 7.54713 | − | 16.9511i | 0.349240 | − | 0.784405i | −0.650451 | − | 0.759548i | \(-0.725420\pi\) |
0.999691 | − | 0.0248573i | \(-0.00791313\pi\) | |||||||
\(468\) | − | 20.4080i | − | 0.943361i | ||||||
\(469\) | −21.3799 | − | 16.3504i | −0.987233 | − | 0.754993i | ||||
\(470\) | −13.2181 | − | 45.9797i | −0.609706 | − | 2.12089i | ||||
\(471\) | −0.110986 | + | 1.05596i | −0.00511395 | + | 0.0486560i | ||||
\(472\) | −4.95226 | − | 11.1230i | −0.227946 | − | 0.511975i | ||||
\(473\) | 7.66697 | − | 6.90337i | 0.352528 | − | 0.317417i | ||||
\(474\) | 0.435701 | + | 0.754656i | 0.0200124 | + | 0.0346625i | ||||
\(475\) | 18.3897 | + | 1.26095i | 0.843775 | + | 0.0578564i | ||||
\(476\) | 6.08625 | + | 1.45076i | 0.278963 | + | 0.0664953i | ||||
\(477\) | −5.95135 | − | 1.93371i | −0.272494 | − | 0.0885385i | ||||
\(478\) | −32.2180 | − | 3.38625i | −1.47362 | − | 0.154883i | ||||
\(479\) | −32.1637 | + | 14.3202i | −1.46960 | + | 0.654307i | −0.976471 | − | 0.215651i | \(-0.930813\pi\) |
−0.493127 | + | 0.869957i | \(0.664146\pi\) | |||||||
\(480\) | −0.125327 | − | 1.77502i | −0.00572036 | − | 0.0810180i | ||||
\(481\) | 47.1710 | + | 21.0019i | 2.15081 | + | 0.957603i | ||||
\(482\) | − | 26.0479i | − | 1.18645i | ||||||
\(483\) | 0.0701369 | + | 0.00911814i | 0.00319134 | + | 0.000414890i | ||||
\(484\) | 3.64703 | + | 11.2244i | 0.165774 | + | 0.510201i | ||||
\(485\) | 17.2525 | − | 35.4337i | 0.783397 | − | 1.60896i | ||||
\(486\) | 4.33413 | + | 4.81354i | 0.196600 | + | 0.218347i | ||||
\(487\) | −2.10974 | + | 9.92555i | −0.0956015 | + | 0.449770i | 0.904144 | + | 0.427227i | \(0.140510\pi\) |
−0.999746 | + | 0.0225427i | \(0.992824\pi\) | |||||||
\(488\) | 2.81681 | + | 2.53627i | 0.127511 | + | 0.114811i | ||||
\(489\) | 0.746147 | − | 2.29640i | 0.0337419 | − | 0.103847i | ||||
\(490\) | 25.1606 | − | 11.8528i | 1.13664 | − | 0.535453i | ||||
\(491\) | −5.28524 | − | 16.2663i | −0.238520 | − | 0.734088i | −0.996635 | − | 0.0819676i | \(-0.973880\pi\) |
0.758115 | − | 0.652121i | \(-0.226120\pi\) | |||||||
\(492\) | −0.407352 | + | 0.914928i | −0.0183649 | + | 0.0412482i | ||||
\(493\) | 2.60757 | + | 1.50548i | 0.117439 | + | 0.0678035i | ||||
\(494\) | 4.04977 | + | 38.5310i | 0.182208 | + | 1.73359i | ||||
\(495\) | −5.88019 | + | 1.04093i | −0.264295 | + | 0.0467865i | ||||
\(496\) | −6.47082 | − | 4.70133i | −0.290548 | − | 0.211096i | ||||
\(497\) | −5.47839 | − | 29.2938i | −0.245739 | − | 1.31401i | ||||
\(498\) | 0.617769 | + | 0.200725i | 0.0276829 | + | 0.00899472i | ||||
\(499\) | 7.24707 | + | 12.5523i | 0.324423 | + | 0.561918i | 0.981395 | − | 0.191997i | \(-0.0614964\pi\) |
−0.656972 | + | 0.753915i | \(0.728163\pi\) | |||||||
\(500\) | −7.58430 | + | 10.4835i | −0.339180 | + | 0.468838i | ||||
\(501\) | −0.670382 | + | 1.16114i | −0.0299504 | + | 0.0518757i | ||||
\(502\) | −1.24688 | − | 5.86611i | −0.0556510 | − | 0.261818i | ||||
\(503\) | 11.7412 | − | 16.1604i | 0.523516 | − | 0.720558i | −0.462609 | − | 0.886562i | \(-0.653087\pi\) |
0.986125 | + | 0.166005i | \(0.0530867\pi\) | |||||||
\(504\) | −7.68536 | − | 8.96894i | −0.342333 | − | 0.399509i | ||||
\(505\) | −6.99381 | + | 19.2558i | −0.311220 | + | 0.856873i | ||||
\(506\) | −0.285528 | − | 0.127125i | −0.0126933 | − | 0.00565141i | ||||
\(507\) | −2.59135 | − | 1.49612i | −0.115086 | − | 0.0664449i | ||||
\(508\) | −14.3100 | + | 1.50404i | −0.634902 | + | 0.0667309i | ||||
\(509\) | 2.80737 | − | 3.11790i | 0.124435 | − | 0.138199i | −0.677708 | − | 0.735331i | \(-0.737027\pi\) |
0.802143 | + | 0.597132i | \(0.203693\pi\) | |||||||
\(510\) | 0.679844 | − | 0.871374i | 0.0301040 | − | 0.0385851i | ||||
\(511\) | −26.4504 | − | 0.649754i | −1.17010 | − | 0.0287434i | ||||
\(512\) | −13.4908 | + | 4.38342i | −0.596214 | + | 0.193722i | ||||
\(513\) | −2.23078 | − | 2.00861i | −0.0984915 | − | 0.0886821i | ||||
\(514\) | −8.39564 | − | 9.32430i | −0.370316 | − | 0.411277i | ||||
\(515\) | −6.31238 | + | 0.445692i | −0.278157 | + | 0.0196395i | ||||
\(516\) | −1.21421 | + | 1.34852i | −0.0534528 | + | 0.0593654i | ||||
\(517\) | −6.33956 | − | 8.72565i | −0.278813 | − | 0.383754i | ||||
\(518\) | −39.3339 | + | 11.7206i | −1.72823 | + | 0.514973i | ||||
\(519\) | −2.18948 | + | 1.59075i | −0.0961076 | + | 0.0698262i | ||||
\(520\) | 17.8041 | + | 8.66876i | 0.780763 | + | 0.380150i | ||||
\(521\) | 9.52378 | − | 4.24026i | 0.417245 | − | 0.185769i | −0.187367 | − | 0.982290i | \(-0.559995\pi\) |
0.604611 | + | 0.796521i | \(0.293329\pi\) | |||||||
\(522\) | 3.17515 | + | 7.13151i | 0.138973 | + | 0.312138i | ||||
\(523\) | −3.77586 | − | 17.7640i | −0.165107 | − | 0.776766i | −0.980290 | − | 0.197563i | \(-0.936697\pi\) |
0.815183 | − | 0.579203i | \(-0.196636\pi\) | |||||||
\(524\) | 3.70982 | 0.162064 | ||||||||
\(525\) | −0.0210662 | − | 1.80071i | −0.000919405 | − | 0.0785893i | ||||
\(526\) | −50.5337 | −2.20337 | ||||||||
\(527\) | −0.682984 | − | 3.21319i | −0.0297512 | − | 0.139969i | ||||
\(528\) | −0.246751 | − | 0.554211i | −0.0107384 | − | 0.0241189i | ||||
\(529\) | 20.9763 | − | 9.33926i | 0.912014 | − | 0.406055i | ||||
\(530\) | −5.78883 | + | 6.00262i | −0.251451 | + | 0.260737i | ||||
\(531\) | 19.6137 | − | 14.2502i | 0.851162 | − | 0.618405i | ||||
\(532\) | −8.20080 | − | 7.75706i | −0.355550 | − | 0.336311i | ||||
\(533\) | −22.0993 | − | 30.4171i | −0.957229 | − | 1.31751i | ||||
\(534\) | 1.07375 | − | 1.19252i | 0.0464656 | − | 0.0516053i | ||||
\(535\) | 19.0988 | − | 16.0478i | 0.825713 | − | 0.693807i | ||||
\(536\) | 10.1925 | + | 11.3199i | 0.440249 | + | 0.488946i | ||||
\(537\) | 1.81210 | + | 1.63162i | 0.0781979 | + | 0.0704097i | ||||
\(538\) | −26.7826 | + | 8.70218i | −1.15468 | + | 0.375178i | ||||
\(539\) | 4.41924 | − | 4.44797i | 0.190350 | − | 0.191588i | ||||
\(540\) | 2.02517 | − | 0.582189i | 0.0871493 | − | 0.0250534i | ||||
\(541\) | −4.95873 | + | 5.50722i | −0.213192 | + | 0.236774i | −0.840251 | − | 0.542198i | \(-0.817592\pi\) |
0.627058 | + | 0.778972i | \(0.284259\pi\) | |||||||
\(542\) | 17.9454 | − | 1.88614i | 0.770822 | − | 0.0810167i | ||||
\(543\) | 0.934789 | + | 0.539701i | 0.0401156 | + | 0.0231608i | ||||
\(544\) | −10.9123 | − | 4.85848i | −0.467862 | − | 0.208306i | ||||
\(545\) | 13.6239 | + | 0.466537i | 0.583583 | + | 0.0199843i | ||||
\(546\) | 3.72059 | − | 0.695807i | 0.159227 | − | 0.0297778i | ||||
\(547\) | −20.7804 | + | 28.6018i | −0.888508 | + | 1.22293i | 0.0854834 | + | 0.996340i | \(0.472757\pi\) |
−0.973991 | + | 0.226586i | \(0.927243\pi\) | |||||||
\(548\) | 0.404436 | + | 1.90272i | 0.0172767 | + | 0.0812803i | ||||
\(549\) | −3.77369 | + | 6.53622i | −0.161057 | + | 0.278959i | ||||
\(550\) | −2.18319 | + | 7.65272i | −0.0930915 | + | 0.326313i | ||||
\(551\) | −2.71615 | − | 4.70450i | −0.115712 | − | 0.200419i | ||||
\(552\) | −0.0380681 | − | 0.0123691i | −0.00162029 | − | 0.000526463i | ||||
\(553\) | 7.23765 | − | 6.20184i | 0.307776 | − | 0.263729i | ||||
\(554\) | −30.5362 | − | 22.1859i | −1.29736 | − | 0.942587i | ||||
\(555\) | −0.368070 | + | 2.63186i | −0.0156237 | + | 0.111716i | ||||
\(556\) | 0.00752620 | + | 0.0716070i | 0.000319182 | + | 0.00303681i | ||||
\(557\) | −20.2649 | − | 11.6999i | −0.858650 | − | 0.495742i | 0.00490988 | − | 0.999988i | \(-0.498437\pi\) |
−0.863560 | + | 0.504246i | \(0.831770\pi\) | |||||||
\(558\) | 3.46410 | − | 7.78050i | 0.146647 | − | 0.329375i | ||||
\(559\) | −21.0509 | − | 64.7880i | −0.890358 | − | 2.74024i | ||||
\(560\) | −28.4794 | + | 7.43508i | −1.20348 | + | 0.314189i | ||||
\(561\) | 0.0769940 | − | 0.236963i | 0.00325069 | − | 0.0100046i | ||||
\(562\) | 26.3237 | + | 23.7019i | 1.11040 | + | 0.999806i | ||||
\(563\) | 3.73357 | − | 17.5651i | 0.157351 | − | 0.740279i | −0.826736 | − | 0.562590i | \(-0.809805\pi\) |
0.984087 | − | 0.177688i | \(-0.0568619\pi\) | |||||||
\(564\) | 1.26936 | + | 1.40977i | 0.0534498 | + | 0.0593620i | ||||
\(565\) | −10.7699 | + | 5.73578i | −0.453091 | + | 0.241306i | ||||
\(566\) | −7.62248 | − | 23.4596i | −0.320397 | − | 0.986080i | ||||
\(567\) | 14.1976 | − | 18.5648i | 0.596241 | − | 0.779649i | ||||
\(568\) | 16.8659i | 0.707679i | ||||||||
\(569\) | 39.2716 | + | 17.4848i | 1.64635 | + | 0.733002i | 0.999560 | − | 0.0296655i | \(-0.00944421\pi\) |
0.646790 | + | 0.762668i | \(0.276111\pi\) | |||||||
\(570\) | −1.84828 | + | 0.748208i | −0.0774160 | + | 0.0313390i | ||||
\(571\) | −20.2354 | + | 9.00937i | −0.846824 | + | 0.377031i | −0.783824 | − | 0.620983i | \(-0.786734\pi\) |
−0.0630003 | + | 0.998014i | \(0.520067\pi\) | |||||||
\(572\) | −6.09763 | − | 0.640887i | −0.254955 | − | 0.0267968i | ||||
\(573\) | −0.702122 | − | 0.228133i | −0.0293316 | − | 0.00953040i | ||||
\(574\) | 29.0707 | + | 6.92947i | 1.21339 | + | 0.289230i | ||||
\(575\) | 0.521436 | + | 0.831967i | 0.0217454 | + | 0.0346954i | ||||
\(576\) | −0.651168 | − | 1.12786i | −0.0271320 | − | 0.0469940i | ||||
\(577\) | −22.1616 | + | 19.9544i | −0.922598 | + | 0.830711i | −0.985909 | − | 0.167283i | \(-0.946501\pi\) |
0.0633107 | + | 0.997994i | \(0.479834\pi\) | |||||||
\(578\) | 9.26873 | + | 20.8179i | 0.385528 | + | 0.865910i | ||||
\(579\) | 0.107230 | − | 1.02023i | 0.00445634 | − | 0.0423992i | ||||
\(580\) | 3.81108 | + | 0.130507i | 0.158246 | + | 0.00541900i | ||||
\(581\) | 0.915958 | − | 7.04557i | 0.0380003 | − | 0.292299i | ||||
\(582\) | 4.26326i | 0.176718i | ||||||||
\(583\) | −0.764660 | + | 1.71745i | −0.0316690 | + | 0.0711297i | ||||
\(584\) | 14.6466 | + | 3.11323i | 0.606081 | + | 0.128826i | ||||
\(585\) | −9.51318 | + | 38.2654i | −0.393321 | + | 1.58208i | ||||
\(586\) | 14.2089 | − | 3.02019i | 0.586964 | − | 0.124763i | ||||
\(587\) | −38.4758 | + | 12.5015i | −1.58807 | + | 0.515994i | −0.964118 | − | 0.265473i | \(-0.914472\pi\) |
−0.623947 | + | 0.781467i | \(0.714472\pi\) | |||||||
\(588\) | −0.691253 | + | 0.859304i | −0.0285068 | + | 0.0354371i | ||||
\(589\) | −1.83143 | + | 5.63658i | −0.0754630 | + | 0.232251i | ||||
\(590\) | −5.63181 | − | 31.8138i | −0.231858 | − | 1.30975i | ||||
\(591\) | 1.58917 | + | 0.337788i | 0.0653695 | + | 0.0138947i | ||||
\(592\) | 43.1976 | − | 4.54025i | 1.77541 | − | 0.186603i | ||||
\(593\) | −0.540774 | + | 0.312216i | −0.0222069 | + | 0.0128212i | −0.511062 | − | 0.859544i | \(-0.670748\pi\) |
0.488855 | + | 0.872365i | \(0.337415\pi\) | |||||||
\(594\) | 1.04847 | − | 0.761757i | 0.0430192 | − | 0.0312553i | ||||
\(595\) | −10.7356 | − | 5.55729i | −0.440115 | − | 0.227827i | ||||
\(596\) | 20.4613 | + | 14.8660i | 0.838127 | + | 0.608935i | ||||
\(597\) | 2.73726 | + | 0.287697i | 0.112028 | + | 0.0117747i | ||||
\(598\) | −1.53367 | + | 1.38092i | −0.0627162 | + | 0.0564699i | ||||
\(599\) | 6.69211 | − | 11.5911i | 0.273432 | − | 0.473599i | −0.696306 | − | 0.717745i | \(-0.745174\pi\) |
0.969738 | + | 0.244146i | \(0.0785077\pi\) | |||||||
\(600\) | −0.175618 | + | 1.00392i | −0.00716959 | + | 0.0409847i | ||||
\(601\) | 39.9880 | 1.63114 | 0.815572 | − | 0.578656i | \(-0.196423\pi\) | ||||
0.815572 | + | 0.578656i | \(0.196423\pi\) | |||||||
\(602\) | 46.2146 | + | 28.2175i | 1.88357 | + | 1.15006i | ||||
\(603\) | −17.8279 | + | 24.5380i | −0.726008 | + | 0.999265i | ||||
\(604\) | −0.661671 | + | 6.29538i | −0.0269230 | + | 0.256155i | ||||
\(605\) | −1.60601 | − | 22.7461i | −0.0652936 | − | 0.924759i | ||||
\(606\) | −0.231650 | − | 2.20401i | −0.00941015 | − | 0.0895316i | ||||
\(607\) | −21.2227 | + | 12.2530i | −0.861405 | + | 0.497332i | −0.864482 | − | 0.502663i | \(-0.832354\pi\) |
0.00307784 | + | 0.999995i | \(0.499020\pi\) | |||||||
\(608\) | 12.6673 | + | 17.4350i | 0.513727 | + | 0.707084i | ||||
\(609\) | −0.436891 | + | 0.301310i | −0.0177037 | + | 0.0122097i | ||||
\(610\) | 5.62999 | + | 8.33464i | 0.227951 | + | 0.337460i | ||||
\(611\) | −69.6599 | + | 14.8067i | −2.81814 | + | 0.599013i | ||||
\(612\) | 1.46592 | − | 6.89661i | 0.0592563 | − | 0.278779i | ||||
\(613\) | −6.99314 | + | 32.9001i | −0.282450 | + | 1.32882i | 0.576640 | + | 0.816999i | \(0.304364\pi\) |
−0.859090 | + | 0.511825i | \(0.828970\pi\) | |||||||
\(614\) | 37.5739 | − | 7.98657i | 1.51636 | − | 0.322312i | ||||
\(615\) | 1.19029 | − | 1.52562i | 0.0479970 | − | 0.0615190i | ||||
\(616\) | −2.92114 | + | 2.01462i | −0.117696 | + | 0.0811714i | ||||
\(617\) | 19.8937 | + | 27.3814i | 0.800891 | + | 1.10233i | 0.992666 | + | 0.120893i | \(0.0385758\pi\) |
−0.191774 | + | 0.981439i | \(0.561424\pi\) | |||||||
\(618\) | 0.592833 | − | 0.342272i | 0.0238472 | − | 0.0137682i | ||||
\(619\) | −2.77156 | − | 26.3696i | −0.111398 | − | 1.05989i | −0.897266 | − | 0.441490i | \(-0.854450\pi\) |
0.785868 | − | 0.618395i | \(-0.212217\pi\) | |||||||
\(620\) | −2.67637 | − | 3.18519i | −0.107485 | − | 0.127920i | ||||
\(621\) | 0.0167140 | − | 0.159023i | 0.000670708 | − | 0.00638136i | ||||
\(622\) | −6.48515 | + | 8.92604i | −0.260031 | + | 0.357902i | ||||
\(623\) | −14.9804 | − | 9.14664i | −0.600176 | − | 0.366452i | ||||
\(624\) | −4.00574 | −0.160358 | ||||||||
\(625\) | 19.1076 | − | 16.1214i | 0.764304 | − | 0.644856i | ||||
\(626\) | 8.64379 | − | 14.9715i | 0.345475 | − | 0.598381i | ||||
\(627\) | −0.334061 | + | 0.300790i | −0.0133411 | + | 0.0120124i | ||||
\(628\) | 8.97738 | + | 0.943561i | 0.358236 | + | 0.0376522i | ||||
\(629\) | 14.4322 | + | 10.4856i | 0.575449 | + | 0.418088i | ||||
\(630\) | −14.0490 | − | 28.0167i | −0.559726 | − | 1.11621i | ||||
\(631\) | 27.4224 | − | 19.9235i | 1.09167 | − | 0.793144i | 0.111988 | − | 0.993710i | \(-0.464278\pi\) |
0.979680 | + | 0.200566i | \(0.0642781\pi\) | |||||||
\(632\) | −4.67147 | + | 2.69708i | −0.185821 | + | 0.107284i | ||||
\(633\) | 0.0163584 | − | 0.00171934i | 0.000650187 | − | 6.83374e-5i | ||||
\(634\) | −36.1300 | − | 7.67967i | −1.43491 | − | 0.304999i | ||||
\(635\) | 27.5326 | + | 3.85047i | 1.09260 | + | 0.152801i | ||||
\(636\) | 0.102181 | − | 0.314482i | 0.00405175 | − | 0.0124700i | ||||
\(637\) | −14.9620 | − | 38.6030i | −0.592815 | − | 1.52951i | ||||
\(638\) | 2.23051 | − | 0.724735i | 0.0883066 | − | 0.0286925i | ||||
\(639\) | −32.8493 | + | 6.98234i | −1.29950 | + | 0.276217i | ||||
\(640\) | 24.3470 | − | 1.71904i | 0.962400 | − | 0.0679512i | ||||
\(641\) | 34.7945 | + | 7.39580i | 1.37430 | + | 0.292117i | 0.835117 | − | 0.550072i | \(-0.185400\pi\) |
0.539183 | + | 0.842188i | \(0.318733\pi\) | |||||||
\(642\) | −1.09759 | + | 2.46523i | −0.0433185 | + | 0.0972949i | ||||
\(643\) | − | 32.5951i | − | 1.28542i | −0.766108 | − | 0.642712i | \(-0.777809\pi\) | ||
0.766108 | − | 0.642712i | \(-0.222191\pi\) | |||||||
\(644\) | 0.0775191 | − | 0.596278i | 0.00305468 | − | 0.0234967i | ||||
\(645\) | 2.90529 | − | 1.96250i | 0.114396 | − | 0.0772734i | ||||
\(646\) | −1.39914 | + | 13.3119i | −0.0550484 | + | 0.523750i | ||||
\(647\) | 16.0134 | + | 35.9666i | 0.629551 | + | 1.41399i | 0.893325 | + | 0.449410i | \(0.148366\pi\) |
−0.263774 | + | 0.964584i | \(0.584967\pi\) | |||||||
\(648\) | −9.82942 | + | 8.85045i | −0.386136 | + | 0.347678i | ||||
\(649\) | −3.64181 | − | 6.30781i | −0.142954 | − | 0.247603i | ||||
\(650\) | 40.2986 | + | 33.7218i | 1.58064 | + | 1.32268i | ||||
\(651\) | 0.563235 | + | 0.134256i | 0.0220749 | + | 0.00526192i | ||||
\(652\) | −19.5232 | − | 6.34347i | −0.764587 | − | 0.248429i | ||||
\(653\) | 28.4249 | + | 2.98757i | 1.11235 | + | 0.116913i | 0.642830 | − | 0.766009i | \(-0.277760\pi\) |
0.469521 | + | 0.882921i | \(0.344427\pi\) | |||||||
\(654\) | −1.34715 | + | 0.599788i | −0.0526776 | + | 0.0234536i | ||||
\(655\) | −6.95599 | − | 1.72933i | −0.271793 | − | 0.0675705i | ||||
\(656\) | −28.8929 | − | 12.8640i | −1.12808 | − | 0.502253i | ||||
\(657\) | 29.8156i | 1.16322i | ||||||||
\(658\) | 34.3876 | − | 44.9654i | 1.34057 | − | 1.75293i | ||||
\(659\) | 3.08756 | + | 9.50254i | 0.120274 | + | 0.370166i | 0.993011 | − | 0.118026i | \(-0.0376565\pi\) |
−0.872736 | + | 0.488192i | \(0.837657\pi\) | |||||||
\(660\) | −0.0550051 | − | 0.310721i | −0.00214107 | − | 0.0120948i | ||||
\(661\) | 5.68455 | + | 6.31333i | 0.221103 | + | 0.245560i | 0.843484 | − | 0.537155i | \(-0.180501\pi\) |
−0.622380 | + | 0.782715i | \(0.713834\pi\) | |||||||
\(662\) | 2.73089 | − | 12.8478i | 0.106139 | − | 0.499345i | ||||
\(663\) | −1.22260 | − | 1.10084i | −0.0474820 | − | 0.0427530i | ||||
\(664\) | −1.24253 | + | 3.82412i | −0.0482195 | + | 0.148404i | ||||
\(665\) | 11.7607 | + | 18.3674i | 0.456061 | + | 0.712259i | ||||
\(666\) | 14.2923 | + | 43.9873i | 0.553816 | + | 1.70447i | ||||
\(667\) | 0.117695 | − | 0.264347i | 0.00455716 | − | 0.0102356i | ||||
\(668\) | 9.87155 | + | 5.69934i | 0.381942 | + | 0.220514i | ||||
\(669\) | 0.272768 | + | 2.59521i | 0.0105458 | + | 0.100337i | ||||
\(670\) | 19.0002 | + | 35.6759i | 0.734040 | + | 1.37828i | ||||
\(671\) | 1.83442 | + | 1.33279i | 0.0708172 | + | 0.0514517i | ||||
\(672\) | 1.59878 | − | 1.36998i | 0.0616744 | − | 0.0528480i | ||||
\(673\) | −16.7937 | − | 5.45660i | −0.647349 | − | 0.210336i | −0.0331038 | − | 0.999452i | \(-0.510539\pi\) |
−0.614245 | + | 0.789116i | \(0.710539\pi\) | |||||||
\(674\) | −25.4983 | − | 44.1643i | −0.982157 | − | 1.70115i | ||||
\(675\) | −4.06861 | + | 0.147586i | −0.156601 | + | 0.00568058i | ||||
\(676\) | −12.7194 | + | 22.0307i | −0.489209 | + | 0.847335i | ||||
\(677\) | −0.830331 | − | 3.90640i | −0.0319122 | − | 0.150135i | 0.959307 | − | 0.282366i | \(-0.0911193\pi\) |
−0.991219 | + | 0.132231i | \(0.957786\pi\) | |||||||
\(678\) | 0.775852 | − | 1.06787i | 0.0297964 | − | 0.0410112i | ||||
\(679\) | 45.8366 | − | 8.57213i | 1.75905 | − | 0.328968i | ||||
\(680\) | 5.39398 | + | 4.20837i | 0.206850 | + | 0.161384i | ||||
\(681\) | 1.48722 | + | 0.662152i | 0.0569903 | + | 0.0253737i | ||||
\(682\) | −2.21592 | − | 1.27936i | −0.0848519 | − | 0.0489893i | ||||
\(683\) | −9.58737 | + | 1.00767i | −0.366850 | + | 0.0385575i | −0.286160 | − | 0.958182i | \(-0.592379\pi\) |
−0.0806899 | + | 0.996739i | \(0.525712\pi\) | |||||||
\(684\) | −8.51177 | + | 9.45327i | −0.325455 | + | 0.361455i | ||||
\(685\) | 0.128627 | − | 3.75617i | 0.00491457 | − | 0.143516i | ||||
\(686\) | 28.9964 | + | 15.5618i | 1.10709 | + | 0.594153i | ||||
\(687\) | −1.76194 | + | 0.572488i | −0.0672221 | + | 0.0218418i | ||||
\(688\) | −42.5856 | − | 38.3442i | −1.62356 | − | 1.46186i | ||||
\(689\) | 8.30623 | + | 9.22500i | 0.316442 | + | 0.351445i | ||||
\(690\) | −0.0901126 | − | 0.0562240i | −0.00343053 | − | 0.00214041i | ||||
\(691\) | 4.27788 | − | 4.75106i | 0.162738 | − | 0.180739i | −0.656261 | − | 0.754534i | \(-0.727863\pi\) |
0.818999 | + | 0.573795i | \(0.194530\pi\) | |||||||
\(692\) | 13.5240 | + | 18.6142i | 0.514105 | + | 0.707605i | ||||
\(693\) | −5.13315 | − | 4.85540i | −0.194992 | − | 0.184441i | ||||
\(694\) | −22.9651 | + | 16.6851i | −0.871743 | + | 0.633358i | ||||
\(695\) | 0.0192678 | − | 0.137773i | 0.000730868 | − | 0.00522602i | ||||
\(696\) | 0.274387 | − | 0.122165i | 0.0104006 | − | 0.00463065i | ||||
\(697\) | −5.28329 | − | 11.8665i | −0.200119 | − | 0.449474i | ||||
\(698\) | 11.1772 | + | 52.5848i | 0.423065 | + | 1.99036i | ||||
\(699\) | 0.493066 | 0.0186495 | ||||||||
\(700\) | −15.3090 | + | 0.179097i | −0.578624 | + | 0.00676924i | ||||
\(701\) | 13.7697 | 0.520075 | 0.260037 | − | 0.965599i | \(-0.416265\pi\) | ||||
0.260037 | + | 0.965599i | \(0.416265\pi\) | |||||||
\(702\) | −1.77916 | − | 8.37029i | −0.0671500 | − | 0.315916i | ||||
\(703\) | −13.0908 | − | 29.4024i | −0.493728 | − | 1.10893i | ||||
\(704\) | −0.357437 | + | 0.159141i | −0.0134714 | + | 0.00599785i | ||||
\(705\) | −1.72292 | − | 3.23506i | −0.0648887 | − | 0.121839i | ||||
\(706\) | −13.0889 | + | 9.50961i | −0.492606 | + | 0.357899i | ||||
\(707\) | −23.2307 | + | 6.92219i | −0.873679 | + | 0.260336i | ||||
\(708\) | 0.753010 | + | 1.03643i | 0.0282998 | + | 0.0389514i | ||||
\(709\) | −32.1979 | + | 35.7594i | −1.20922 | + | 1.34297i | −0.286222 | + | 0.958163i | \(0.592399\pi\) |
−0.922996 | + | 0.384809i | \(0.874267\pi\) | |||||||
\(710\) | −10.7977 | + | 43.4324i | −0.405232 | + | 1.62999i | ||||
\(711\) | −7.18697 | − | 7.98194i | −0.269532 | − | 0.299346i | ||||
\(712\) | 7.38192 | + | 6.64671i | 0.276649 | + | 0.249096i | ||||
\(713\) | −0.300245 | + | 0.0975556i | −0.0112443 | + | 0.00365349i | ||||
\(714\) | 1.30730 | + | 0.0321139i | 0.0489246 | + | 0.00120183i | ||||
\(715\) | 11.1344 | + | 4.04408i | 0.416404 | + | 0.151240i | ||||
\(716\) | 13.8715 | − | 15.4058i | 0.518401 | − | 0.575742i | ||||
\(717\) | −2.46827 | + | 0.259426i | −0.0921792 | + | 0.00968843i | ||||
\(718\) | 36.2355 | + | 20.9206i | 1.35230 | + | 0.780750i | ||||
\(719\) | 4.94564 | + | 2.20194i | 0.184441 | + | 0.0821186i | 0.496880 | − | 0.867819i | \(-0.334479\pi\) |
−0.312438 | + | 0.949938i | \(0.601146\pi\) | |||||||
\(720\) | 9.16411 | + | 31.8777i | 0.341526 | + | 1.18801i | ||||
\(721\) | −4.87196 | − | 5.68565i | −0.181441 | − | 0.211745i | ||||
\(722\) | −5.64955 | + | 7.77594i | −0.210254 | + | 0.289390i | ||||
\(723\) | −0.414902 | − | 1.95196i | −0.0154304 | − | 0.0725943i | ||||
\(724\) | 4.58834 | − | 7.94723i | 0.170524 | − | 0.295357i | ||||
\(725\) | −7.08501 | − | 2.02123i | −0.263131 | − | 0.0750667i | ||||
\(726\) | 1.23335 | + | 2.13622i | 0.0457738 | + | 0.0792825i | ||||
\(727\) | 1.54580 | + | 0.502260i | 0.0573305 | + | 0.0186278i | 0.337542 | − | 0.941311i | \(-0.390405\pi\) |
−0.280211 | + | 0.959938i | \(0.590405\pi\) | |||||||
\(728\) | 4.30718 | + | 23.0312i | 0.159635 | + | 0.853593i | ||||
\(729\) | −21.0380 | − | 15.2850i | −0.779187 | − | 0.566112i | ||||
\(730\) | 35.7242 | + | 17.3940i | 1.32221 | + | 0.643779i | ||||
\(731\) | −2.46010 | − | 23.4063i | −0.0909902 | − | 0.865714i | ||||
\(732\) | −0.345388 | − | 0.199410i | −0.0127659 | − | 0.00737040i | ||||
\(733\) | −7.51742 | + | 16.8844i | −0.277662 | + | 0.623639i | −0.997512 | − | 0.0704898i | \(-0.977544\pi\) |
0.719850 | + | 0.694129i | \(0.244210\pi\) | |||||||
\(734\) | −19.7474 | − | 60.7763i | −0.728890 | − | 2.24329i | ||||
\(735\) | 1.69668 | − | 1.28898i | 0.0625828 | − | 0.0475449i | ||||
\(736\) | −0.354739 | + | 1.09177i | −0.0130758 | + | 0.0402433i | ||||
\(737\) | 6.77175 | + | 6.09731i | 0.249441 | + | 0.224597i | ||||
\(738\) | 7.00189 | − | 32.9413i | 0.257743 | − | 1.21259i | ||||
\(739\) | 2.67940 | + | 2.97578i | 0.0985635 | + | 0.109466i | 0.790408 | − | 0.612580i | \(-0.209868\pi\) |
−0.691845 | + | 0.722046i | \(0.743202\pi\) | |||||||
\(740\) | 22.3751 | + | 3.12920i | 0.822527 | + | 0.115032i | ||||
\(741\) | 0.917218 | + | 2.82291i | 0.0336948 | + | 0.103702i | ||||
\(742\) | −9.78472 | − | 1.27206i | −0.359208 | − | 0.0466988i | ||||
\(743\) | 20.9549i | 0.768760i | 0.923175 | + | 0.384380i | \(0.125585\pi\) | ||||
−0.923175 | + | 0.384380i | \(0.874415\pi\) | |||||||
\(744\) | −0.299357 | − | 0.133282i | −0.0109750 | − | 0.00488637i | ||||
\(745\) | −31.4355 | − | 37.4120i | −1.15171 | − | 1.37067i | ||||
\(746\) | 11.5491 | − | 5.14201i | 0.422844 | − | 0.188262i | ||||
\(747\) | −7.96253 | − | 0.836895i | −0.291334 | − | 0.0306204i | ||||
\(748\) | −2.01457 | − | 0.654575i | −0.0736601 | − | 0.0239336i | ||||
\(749\) | 28.7119 | + | 6.84395i | 1.04911 | + | 0.250073i | ||||
\(750\) | −1.09496 | + | 2.47281i | −0.0399823 | + | 0.0902941i | ||||
\(751\) | 1.95354 | + | 3.38362i | 0.0712855 | + | 0.123470i | 0.899465 | − | 0.436993i | \(-0.143957\pi\) |
−0.828179 | + | 0.560463i | \(0.810623\pi\) | |||||||
\(752\) | −44.5197 | + | 40.0857i | −1.62347 | + | 1.46178i | ||||
\(753\) | −0.186876 | − | 0.419730i | −0.00681014 | − | 0.0152958i | ||||
\(754\) | 1.61871 | − | 15.4010i | 0.0589500 | − | 0.560872i | ||||
\(755\) | 4.17523 | − | 11.4955i | 0.151952 | − | 0.418365i | ||||
\(756\) | 1.98049 | + | 1.51459i | 0.0720298 | + | 0.0550852i | ||||
\(757\) | − | 28.1928i | − | 1.02469i | −0.858781 | − | 0.512343i | \(-0.828778\pi\) | ||
0.858781 | − | 0.512343i | \(-0.171222\pi\) | |||||||
\(758\) | 6.93543 | − | 15.5772i | 0.251906 | − | 0.565790i | ||||
\(759\) | −0.0234217 | − | 0.00497843i | −0.000850152 | − | 0.000180705i | ||||
\(760\) | −4.63155 | − | 11.4412i | −0.168004 | − | 0.415017i | ||||
\(761\) | −2.28666 | + | 0.486045i | −0.0828914 | + | 0.0176191i | −0.249171 | − | 0.968460i | \(-0.580158\pi\) |
0.166279 | + | 0.986079i | \(0.446825\pi\) | |||||||
\(762\) | −2.86014 | + | 0.929317i | −0.103612 | + | 0.0336656i | ||||
\(763\) | 9.15734 | + | 13.2779i | 0.331518 | + | 0.480692i | ||||
\(764\) | −1.93951 | + | 5.96919i | −0.0701689 | + | 0.215958i | ||||
\(765\) | −5.96347 | + | 12.2479i | −0.215610 | + | 0.442825i | ||||
\(766\) | 7.82354 | + | 1.66294i | 0.282676 | + | 0.0600846i | ||||
\(767\) | −47.8300 | + | 5.02713i | −1.72704 | + | 0.181519i | ||||
\(768\) | −2.38956 | + | 1.37962i | −0.0862260 | + | 0.0497826i | ||||
\(769\) | 4.40134 | − | 3.19776i | 0.158716 | − | 0.115314i | −0.505592 | − | 0.862772i | \(-0.668726\pi\) |
0.664309 | + | 0.747458i | \(0.268726\pi\) | |||||||
\(770\) | −8.81219 | + | 3.31782i | −0.317569 | + | 0.119566i | ||||
\(771\) | −0.777669 | − | 0.565009i | −0.0280071 | − | 0.0203483i | ||||
\(772\) | −8.67361 | − | 0.911633i | −0.312170 | − | 0.0328104i | ||||
\(773\) | −22.7640 | + | 20.4968i | −0.818764 | + | 0.737219i | −0.967829 | − | 0.251609i | \(-0.919040\pi\) |
0.149065 | + | 0.988827i | \(0.452374\pi\) | |||||||
\(774\) | 30.5094 | − | 52.8439i | 1.09664 | − | 1.89944i | ||||
\(775\) | 3.53346 | + | 7.21989i | 0.126926 | + | 0.259346i | ||||
\(776\) | −26.3904 | −0.947361 | ||||||||
\(777\) | −2.76089 | + | 1.50484i | −0.0990464 | + | 0.0539857i | ||||
\(778\) | 22.0374 | − | 30.3319i | 0.790079 | − | 1.08745i | ||||
\(779\) | −2.44964 | + | 23.3068i | −0.0877676 | + | 0.835053i | ||||
\(780\) | −2.02203 | − | 0.502696i | −0.0724002 | − | 0.0179994i | ||||
\(781\) | 1.05464 | + | 10.0342i | 0.0377379 | + | 0.359052i | ||||
\(782\) | −0.617473 | + | 0.356498i | −0.0220808 | + | 0.0127483i | ||||
\(783\) | 0.705247 | + | 0.970690i | 0.0252035 | + | 0.0346896i | ||||
\(784\) | −27.1363 | − | 21.8294i | −0.969154 | − | 0.779621i | ||||
\(785\) | −16.3929 | − | 5.95399i | −0.585088 | − | 0.212507i | ||||
\(786\) | 0.758429 | − | 0.161209i | 0.0270523 | − | 0.00575013i | ||||
\(787\) | 3.99867 | − | 18.8122i | 0.142537 | − | 0.670584i | −0.847618 | − | 0.530607i | \(-0.821964\pi\) |
0.990155 | − | 0.139977i | \(-0.0447028\pi\) | |||||||
\(788\) | 2.87175 | − | 13.5105i | 0.102302 | − | 0.481292i | ||||
\(789\) | −3.78686 | + | 0.804923i | −0.134816 | + | 0.0286560i | ||||
\(790\) | −13.7565 | + | 3.95467i | −0.489433 | + | 0.140701i | ||||
\(791\) | −13.0412 | − | 6.19443i | −0.463693 | − | 0.220249i | ||||
\(792\) | 2.35041 | + | 3.23506i | 0.0835182 | + | 0.114953i | ||||
\(793\) | 12.9661 | − | 7.48601i | 0.460441 | − | 0.265836i | ||||
\(794\) | −0.872376 | − | 8.30010i | −0.0309595 | − | 0.294560i | ||||
\(795\) | −0.338187 | + | 0.542028i | −0.0119943 | + | 0.0192237i | ||||
\(796\) | 2.44590 | − | 23.2712i | 0.0866925 | − | 0.824824i | ||||
\(797\) | −16.0174 | + | 22.0460i | −0.567365 | + | 0.780911i | −0.992240 | − | 0.124341i | \(-0.960318\pi\) |
0.424874 | + | 0.905252i | \(0.360318\pi\) | |||||||
\(798\) | −2.01364 | − | 1.22948i | −0.0712820 | − | 0.0435230i | ||||
\(799\) | −24.6042 | −0.870432 | ||||||||
\(800\) | 28.7917 | + | 5.03664i | 1.01794 | + | 0.178072i | ||||
\(801\) | −9.88957 | + | 17.1292i | −0.349431 | + | 0.605232i | ||||
\(802\) | −1.40653 | + | 1.26645i | −0.0496664 | + | 0.0447198i | ||||
\(803\) | 8.90850 | + | 0.936321i | 0.314374 | + | 0.0330421i | ||||
\(804\) | −1.29664 | − | 0.942064i | −0.0457290 | − | 0.0332240i | ||||
\(805\) | −0.423304 | + | 1.08190i | −0.0149195 | + | 0.0381319i | ||||
\(806\) | −13.6684 | + | 9.93070i | −0.481450 | + | 0.349794i | ||||
\(807\) | −1.86840 | + | 1.07872i | −0.0657709 | + | 0.0379729i | ||||
\(808\) | 13.6432 | − | 1.43396i | 0.479967 | − | 0.0504466i | ||||
\(809\) | 15.1049 | + | 3.21064i | 0.531060 | + | 0.112880i | 0.465634 | − | 0.884977i | \(-0.345826\pi\) |
0.0654255 | + | 0.997857i | \(0.479160\pi\) | |||||||
\(810\) | −30.9784 | + | 16.4984i | −1.08847 | + | 0.579694i | ||||
\(811\) | 7.57398 | − | 23.3103i | 0.265958 | − | 0.818536i | −0.725513 | − | 0.688209i | \(-0.758397\pi\) |
0.991471 | − | 0.130327i | \(-0.0416027\pi\) | |||||||
\(812\) | 2.56163 | + | 3.71429i | 0.0898956 | + | 0.130346i | ||||
\(813\) | 1.31474 | − | 0.427185i | 0.0461099 | − | 0.0149820i | ||||
\(814\) | 13.5916 | − | 2.88899i | 0.476386 | − | 0.101259i | ||||
\(815\) | 33.6493 | + | 20.9948i | 1.17868 | + | 0.735417i | ||||
\(816\) | −1.35368 | − | 0.287735i | −0.0473884 | − | 0.0100727i | ||||
\(817\) | −17.2707 | + | 38.7906i | −0.604225 | + | 1.35711i | ||||
\(818\) | − | 30.4839i | − | 1.06585i | ||||||
\(819\) | −43.0742 | + | 17.9237i | −1.50513 | + | 0.626305i | ||||
\(820\) | −12.9703 | − | 10.1194i | −0.452942 | − | 0.353384i | ||||
\(821\) | 3.08229 | − | 29.3260i | 0.107573 | − | 1.02349i | −0.798970 | − | 0.601371i | \(-0.794621\pi\) |
0.906542 | − | 0.422115i | \(-0.138712\pi\) | |||||||
\(822\) | 0.165364 | + | 0.371414i | 0.00576774 | + | 0.0129546i | ||||
\(823\) | −5.70951 | + | 5.14086i | −0.199021 | + | 0.179199i | −0.762615 | − | 0.646853i | \(-0.776085\pi\) |
0.563594 | + | 0.826052i | \(0.309418\pi\) | |||||||
\(824\) | 2.11873 | + | 3.66975i | 0.0738096 | + | 0.127842i | ||||
\(825\) | −0.0417068 | + | 0.608249i | −0.00145204 | + | 0.0211765i | ||||
\(826\) | 26.2694 | − | 27.7721i | 0.914029 | − | 0.966316i | ||||
\(827\) | 5.39373 | + | 1.75253i | 0.187558 | + | 0.0609414i | 0.401290 | − | 0.915951i | \(-0.368562\pi\) |
−0.213732 | + | 0.976892i | \(0.568562\pi\) | |||||||
\(828\) | −0.673882 | − | 0.0708279i | −0.0234190 | − | 0.00246144i | ||||
\(829\) | −14.0872 | + | 6.27202i | −0.489269 | + | 0.217836i | −0.636516 | − | 0.771263i | \(-0.719625\pi\) |
0.147248 | + | 0.989100i | \(0.452959\pi\) | |||||||
\(830\) | −5.64795 | + | 9.05222i | −0.196043 | + | 0.314207i | ||||
\(831\) | −2.64169 | − | 1.17616i | −0.0916392 | − | 0.0408004i | ||||
\(832\) | 2.58349i | 0.0895664i | ||||||||
\(833\) | −2.28332 | − | 14.1201i | −0.0791123 | − | 0.489232i | ||||
\(834\) | 0.00465030 | + | 0.0143122i | 0.000161027 | + | 0.000495589i | ||||
\(835\) | −15.8526 | − | 15.2880i | −0.548602 | − | 0.529062i | ||||
\(836\) | 2.55721 | + | 2.84006i | 0.0884428 | + | 0.0982257i | ||||
\(837\) | 0.272162 | − | 1.28042i | 0.00940730 | − | 0.0442579i | ||||
\(838\) | 32.7145 | + | 29.4563i | 1.13010 | + | 1.01755i | ||||
\(839\) | −12.6424 | + | 38.9093i | −0.436464 | + | 1.34330i | 0.455115 | + | 0.890433i | \(0.349598\pi\) |
−0.891579 | + | 0.452865i | \(0.850402\pi\) | |||||||
\(840\) | −1.07795 | + | 0.540540i | −0.0371928 | + | 0.0186504i | ||||
\(841\) | −8.29052 | − | 25.5156i | −0.285880 | − | 0.879848i | ||||
\(842\) | −7.54896 | + | 16.9552i | −0.260154 | + | 0.584316i | ||||
\(843\) | 2.35016 | + | 1.35687i | 0.0809439 | + | 0.0467330i | ||||
\(844\) | −0.0146172 | − | 0.139073i | −0.000503143 | − | 0.00478709i | ||||
\(845\) | 34.1188 | − | 35.3789i | 1.17372 | − | 1.21707i | ||||
\(846\) | −51.6074 | − | 37.4950i | −1.77430 | − | 1.28910i | ||||
\(847\) | 20.4877 | − | 17.5556i | 0.703967 | − | 0.603219i | ||||
\(848\) | 9.93116 | + | 3.22683i | 0.341037 | + | 0.110810i | ||||
\(849\) | −0.944883 | − | 1.63659i | −0.0324283 | − | 0.0561675i | ||||
\(850\) | 11.1961 | + | 14.2905i | 0.384023 | + | 0.490160i | ||||
\(851\) | 0.857203 | − | 1.48472i | 0.0293845 | − | 0.0508955i | ||||
\(852\) | −0.368962 | − | 1.73583i | −0.0126404 | − | 0.0594685i | ||||
\(853\) | −10.1441 | + | 13.9621i | −0.347326 | + | 0.478053i | −0.946563 | − | 0.322519i | \(-0.895471\pi\) |
0.599237 | + | 0.800571i | \(0.295471\pi\) | |||||||
\(854\) | −3.95438 | + | 11.2246i | −0.135316 | + | 0.384097i | ||||
\(855\) | 20.3664 | − | 13.7573i | 0.696515 | − | 0.470490i | ||||
\(856\) | −15.2603 | − | 6.79431i | −0.521585 | − | 0.232225i | ||||
\(857\) | −37.5323 | − | 21.6693i | −1.28208 | − | 0.740208i | −0.304850 | − | 0.952400i | \(-0.598606\pi\) |
−0.977228 | + | 0.212192i | \(0.931940\pi\) | |||||||
\(858\) | −1.27444 | + | 0.133949i | −0.0435086 | + | 0.00457294i | ||||
\(859\) | −11.9318 | + | 13.2517i | −0.407109 | + | 0.452140i | −0.911479 | − | 0.411347i | \(-0.865058\pi\) |
0.504370 | + | 0.863488i | \(0.331725\pi\) | |||||||
\(860\) | −16.6845 | − | 24.6997i | −0.568935 | − | 0.842253i | ||||
\(861\) | 2.28886 | + | 0.0562257i | 0.0780040 | + | 0.00191617i | ||||
\(862\) | 53.5830 | − | 17.4102i | 1.82504 | − | 0.592993i | ||||
\(863\) | 26.0613 | + | 23.4657i | 0.887138 | + | 0.798783i | 0.980432 | − | 0.196856i | \(-0.0630731\pi\) |
−0.0932943 | + | 0.995639i | \(0.529740\pi\) | |||||||
\(864\) | −3.18505 | − | 3.53735i | −0.108357 | − | 0.120343i | ||||
\(865\) | −16.6808 | − | 41.2061i | −0.567163 | − | 1.40105i | ||||
\(866\) | 22.5425 | − | 25.0359i | 0.766024 | − | 0.850756i | ||||
\(867\) | 1.02617 | + | 1.41240i | 0.0348506 | + | 0.0479677i | ||||
\(868\) | 1.14140 | − | 4.78842i | 0.0387416 | − | 0.162530i | ||||
\(869\) | −2.61059 | + | 1.89670i | −0.0885582 | + | 0.0643413i | ||||
\(870\) | 0.784801 | − | 0.138929i | 0.0266072 | − | 0.00471012i | ||||
\(871\) | 54.9662 | − | 24.4725i | 1.86246 | − | 0.829220i | ||||
\(872\) | −3.71281 | − | 8.33910i | −0.125731 | − | 0.282398i | ||||
\(873\) | −10.9254 | − | 51.3999i | −0.369769 | − | 1.73962i | ||||
\(874\) | 1.28637 | 0.0435120 | ||||||||
\(875\) | 28.7881 | + | 6.80045i | 0.973215 | + | 0.229897i | ||||
\(876\) | −1.57552 | −0.0532320 | ||||||||
\(877\) | −8.35459 | − | 39.3052i | −0.282114 | − | 1.32724i | −0.859652 | − | 0.510880i | \(-0.829320\pi\) |
0.577538 | − | 0.816364i | \(-0.304014\pi\) | |||||||
\(878\) | 3.61200 | + | 8.11269i | 0.121899 | + | 0.273790i | ||||
\(879\) | 1.01667 | − | 0.452651i | 0.0342915 | − | 0.0152675i | ||||
\(880\) | 9.81241 | − | 1.73703i | 0.330776 | − | 0.0585553i | ||||
\(881\) | −13.0284 | + | 9.46567i | −0.438937 | + | 0.318907i | −0.785213 | − | 0.619226i | \(-0.787446\pi\) |
0.346275 | + | 0.938133i | \(0.387446\pi\) | |||||||
\(882\) | 16.7287 | − | 33.0966i | 0.563285 | − | 1.11442i | ||||
\(883\) | 0.925642 | + | 1.27404i | 0.0311503 | + | 0.0428748i | 0.824308 | − | 0.566141i | \(-0.191564\pi\) |
−0.793158 | + | 0.609016i | \(0.791564\pi\) | |||||||
\(884\) | −9.35892 | + | 10.3941i | −0.314775 | + | 0.349593i | ||||
\(885\) | −0.928778 | − | 2.29434i | −0.0312205 | − | 0.0771234i | ||||
\(886\) | −3.87467 | − | 4.30325i | −0.130172 | − | 0.144571i | ||||
\(887\) | −7.35755 | − | 6.62477i | −0.247042 | − | 0.222438i | 0.536302 | − | 0.844026i | \(-0.319821\pi\) |
−0.783344 | + | 0.621588i | \(0.786488\pi\) | |||||||
\(888\) | 1.69242 | − | 0.549902i | 0.0567940 | − | 0.0184535i | ||||
\(889\) | 15.7425 | + | 28.8824i | 0.527985 | + | 0.968683i | ||||
\(890\) | 14.7543 | + | 21.8423i | 0.494565 | + | 0.732155i | ||||
\(891\) | −5.29448 | + | 5.88011i | −0.177372 | + | 0.196991i | ||||
\(892\) | 22.0636 | − | 2.31897i | 0.738743 | − | 0.0776450i | ||||
\(893\) | 38.4430 | + | 22.1950i | 1.28644 | + | 0.742729i | ||||
\(894\) | 4.82906 | + | 2.15004i | 0.161508 | + | 0.0719080i | ||||
\(895\) | −33.1907 | + | 22.4200i | −1.10944 | + | 0.749419i | ||||
\(896\) | 18.7913 | + | 21.9297i | 0.627772 | + | 0.732620i | ||||
\(897\) | −0.0929330 | + | 0.127911i | −0.00310294 | + | 0.00427083i | ||||
\(898\) | −6.92131 | − | 32.5622i | −0.230967 | − | 1.08662i | ||||
\(899\) | 1.18445 | − | 2.05153i | 0.0395037 | − | 0.0684225i | ||||
\(900\) | 0.625417 | + | 17.2413i | 0.0208472 | + | 0.574712i | ||||
\(901\) | 2.14434 | + | 3.71410i | 0.0714383 | + | 0.123735i | ||||
\(902\) | −9.62252 | − | 3.12655i | −0.320395 | − | 0.104103i | ||||
\(903\) | 3.91266 | + | 1.37842i | 0.130205 | + | 0.0458709i | ||||
\(904\) | 6.61032 | + | 4.80268i | 0.219856 | + | 0.159735i | ||||
\(905\) | −12.3078 | + | 12.7624i | −0.409126 | + | 0.424235i | ||||
\(906\) | 0.138293 | + | 1.31577i | 0.00459447 | + | 0.0437134i | ||||
\(907\) | 25.1973 | + | 14.5476i | 0.836661 | + | 0.483047i | 0.856128 | − | 0.516764i | \(-0.172864\pi\) |
−0.0194668 | + | 0.999811i | \(0.506197\pi\) | |||||||
\(908\) | 5.62938 | − | 12.6438i | 0.186817 | − | 0.419599i | ||||
\(909\) | 8.44106 | + | 25.9789i | 0.279972 | + | 0.861666i | ||||
\(910\) | −3.65314 | + | 62.0665i | −0.121101 | + | 2.05748i | ||||
\(911\) | 10.9862 | − | 33.8121i | 0.363989 | − | 1.12024i | −0.586622 | − | 0.809861i | \(-0.699543\pi\) |
0.950612 | − | 0.310383i | \(-0.100457\pi\) | |||||||
\(912\) | 1.85551 | + | 1.67071i | 0.0614422 | + | 0.0553228i | ||||
\(913\) | −0.500105 | + | 2.35281i | −0.0165511 | + | 0.0778667i | ||||
\(914\) | −32.2955 | − | 35.8678i | −1.06824 | − | 1.18640i | ||||
\(915\) | 0.554654 | + | 0.534899i | 0.0183363 | + | 0.0176832i | ||||
\(916\) | 4.86708 | + | 14.9793i | 0.160813 | + | 0.494931i | ||||
\(917\) | −3.25822 | − | 7.83013i | −0.107596 | − | 0.258574i | ||||
\(918\) | − | 2.95642i | − | 0.0975764i | ||||||
\(919\) | 26.7347 | + | 11.9030i | 0.881896 | + | 0.392645i | 0.797167 | − | 0.603759i | \(-0.206331\pi\) |
0.0847287 | + | 0.996404i | \(0.472998\pi\) | |||||||
\(920\) | 0.348037 | − | 0.557815i | 0.0114745 | − | 0.0183906i | ||||
\(921\) | 2.68847 | − | 1.19699i | 0.0885882 | − | 0.0394420i | ||||
\(922\) | 24.9441 | + | 2.62173i | 0.821489 | + | 0.0863420i | ||||
\(923\) | 63.3596 | + | 20.5868i | 2.08551 | + | 0.677623i | ||||
\(924\) | 0.256570 | − | 0.271247i | 0.00844052 | − | 0.00892336i | ||||
\(925\) | −40.4952 | − | 16.2975i | −1.33147 | − | 0.535857i | ||||
\(926\) | −16.0191 | − | 27.7459i | −0.526420 | − | 0.911786i | ||||
\(927\) | −6.27035 | + | 5.64584i | −0.205945 | + | 0.185434i | ||||
\(928\) | −3.50362 | − | 7.86927i | −0.115012 | − | 0.258321i | ||||
\(929\) | 3.62918 | − | 34.5294i | 0.119070 | − | 1.13287i | −0.757915 | − | 0.652354i | \(-0.773782\pi\) |
0.876984 | − | 0.480519i | \(-0.159552\pi\) | |||||||
\(930\) | −0.685563 | − | 0.534874i | −0.0224805 | − | 0.0175392i | ||||
\(931\) | −9.16993 | + | 24.1218i | −0.300532 | + | 0.790559i | ||||
\(932\) | − | 4.19187i | − | 0.137309i | ||||||
\(933\) | −0.343802 | + | 0.772192i | −0.0112556 | + | 0.0252804i | ||||
\(934\) | −32.2502 | − | 6.85500i | −1.05526 | − | 0.224302i | ||||
\(935\) | 3.47224 | + | 2.16643i | 0.113554 | + | 0.0708499i | ||||
\(936\) | 25.8266 | − | 5.48961i | 0.844169 | − | 0.179434i | ||||
\(937\) | −4.44214 | + | 1.44334i | −0.145119 | + | 0.0471519i | −0.380676 | − | 0.924709i | \(-0.624309\pi\) |
0.235557 | + | 0.971861i | \(0.424309\pi\) | |||||||
\(938\) | −20.5195 | + | 43.2000i | −0.669985 | + | 1.41053i | ||||
\(939\) | 0.409271 | − | 1.25961i | 0.0133560 | − | 0.0411057i | ||||
\(940\) | −27.5033 | + | 14.6476i | −0.897058 | + | 0.477752i | ||||
\(941\) | −36.1676 | − | 7.68766i | −1.17903 | − | 0.250611i | −0.423606 | − | 0.905847i | \(-0.639236\pi\) |
−0.755424 | + | 0.655236i | \(0.772569\pi\) | |||||||
\(942\) | 1.87632 | − | 0.197209i | 0.0611338 | − | 0.00642542i | ||||
\(943\) | −1.08109 | + | 0.624165i | −0.0352050 | + | 0.0203256i | ||||
\(944\) | −32.7298 | + | 23.7796i | −1.06527 | + | 0.773961i | ||||
\(945\) | −3.00743 | − | 3.76310i | −0.0978318 | − | 0.122414i | ||||
\(946\) | −14.8309 | − | 10.7753i | −0.482195 | − | 0.350335i | ||||
\(947\) | 42.8534 | + | 4.50408i | 1.39255 | + | 0.146363i | 0.770912 | − | 0.636942i | \(-0.219801\pi\) |
0.621638 | + | 0.783305i | \(0.286468\pi\) | |||||||
\(948\) | 0.421783 | − | 0.379775i | 0.0136989 | − | 0.0123345i | ||||
\(949\) | 29.5732 | − | 51.2223i | 0.959986 | − | 1.66275i | ||||
\(950\) | −4.60219 | − | 32.4281i | −0.149315 | − | 1.05211i | ||||
\(951\) | −2.82981 | −0.0917630 | ||||||||
\(952\) | −0.198791 | + | 8.09246i | −0.00644287 | + | 0.262278i | ||||
\(953\) | 10.2390 | − | 14.0927i | 0.331672 | − | 0.456508i | −0.610314 | − | 0.792160i | \(-0.708957\pi\) |
0.941986 | + | 0.335652i | \(0.108957\pi\) | |||||||
\(954\) | −1.16226 | + | 11.0582i | −0.0376296 | + | 0.358022i | ||||
\(955\) | 6.41914 | − | 10.2882i | 0.207719 | − | 0.332920i | ||||
\(956\) | 2.20554 | + | 20.9843i | 0.0713323 | + | 0.678682i | ||||
\(957\) | 0.155604 | − | 0.0898382i | 0.00502998 | − | 0.00290406i | ||||
\(958\) | 36.7718 | + | 50.6120i | 1.18804 | + | 1.63520i | ||||
\(959\) | 3.66078 | − | 2.52472i | 0.118213 | − | 0.0815275i | ||||
\(960\) | −0.127788 | + | 0.0367360i | −0.00412433 | + | 0.00118565i | ||||
\(961\) | 27.7946 | − | 5.90792i | 0.896599 | − | 0.190578i | ||||
\(962\) | 19.0758 | − | 89.7447i | 0.615029 | − | 2.89349i | ||||
\(963\) | 6.91548 | − | 32.5348i | 0.222848 | − | 1.04842i | ||||
\(964\) | −16.5949 | + | 3.52735i | −0.534485 | + | 0.113608i | ||||
\(965\) | 15.8382 | + | 5.75252i | 0.509851 | + | 0.185180i | ||||
\(966\) | −0.0100632 | − | 0.125271i | −0.000323779 | − | 0.00403051i | ||||
\(967\) | −4.31454 | − | 5.93845i | −0.138746 | − | 0.190968i | 0.733989 | − | 0.679161i | \(-0.237656\pi\) |
−0.872736 | + | 0.488193i | \(0.837656\pi\) | |||||||
\(968\) | −13.2236 | + | 7.63466i | −0.425023 | + | 0.245387i | ||||
\(969\) | 0.107190 | + | 1.01985i | 0.00344344 | + | 0.0327622i | ||||
\(970\) | −67.9595 | − | 16.8954i | −2.18205 | − | 0.542479i | ||||
\(971\) | 3.10895 | − | 29.5797i | 0.0997709 | − | 0.949256i | −0.824072 | − | 0.566485i | \(-0.808303\pi\) |
0.923843 | − | 0.382772i | \(-0.125030\pi\) | |||||||
\(972\) | 2.47974 | − | 3.41307i | 0.0795378 | − | 0.109474i | ||||
\(973\) | 0.144527 | − | 0.0787753i | 0.00463333 | − | 0.00252542i | ||||
\(974\) | 18.0306 | 0.577738 | ||||||||
\(975\) | 3.55701 | + | 1.88513i | 0.113915 | + | 0.0603725i | ||||
\(976\) | 6.29725 | − | 10.9071i | 0.201570 | − | 0.349129i | ||||
\(977\) | −25.5541 | + | 23.0091i | −0.817550 | + | 0.736125i | −0.967582 | − | 0.252556i | \(-0.918729\pi\) |
0.150033 | + | 0.988681i | \(0.452062\pi\) | |||||||
\(978\) | −4.26693 | − | 0.448473i | −0.136442 | − | 0.0143406i | ||||
\(979\) | 4.80741 | + | 3.49279i | 0.153646 | + | 0.111630i | ||||
\(980\) | −10.9585 | − | 14.4245i | −0.350056 | − | 0.460774i | ||||
\(981\) | 14.7048 | − | 10.6836i | 0.469487 | − | 0.341103i | ||||
\(982\) | −26.3192 | + | 15.1954i | −0.839880 | + | 0.484905i | ||||
\(983\) | −11.4909 | + | 1.20775i | −0.366504 | + | 0.0385211i | −0.285991 | − | 0.958232i | \(-0.592323\pi\) |
−0.0805132 | + | 0.996754i | \(0.525656\pi\) | |||||||
\(984\) | −1.26743 | − | 0.269400i | −0.0404041 | − | 0.00858816i | ||||
\(985\) | −11.6825 | + | 23.9938i | −0.372235 | + | 0.764506i | ||||
\(986\) | 1.65328 | − | 5.08829i | 0.0526513 | − | 0.162044i | ||||
\(987\) | 1.86069 | − | 3.91733i | 0.0592263 | − | 0.124690i | ||||
\(988\) | 23.9993 | − | 7.79785i | 0.763520 | − | 0.248083i | ||||
\(989\) | −2.21239 | + | 0.470258i | −0.0703499 | + | 0.0149533i | ||||
\(990\) | 3.98155 | + | 9.83555i | 0.126542 | + | 0.312594i | ||||
\(991\) | −22.6473 | − | 4.81384i | −0.719417 | − | 0.152917i | −0.166366 | − | 0.986064i | \(-0.553203\pi\) |
−0.553051 | + | 0.833147i | \(0.686537\pi\) | |||||||
\(992\) | −3.82246 | + | 8.58539i | −0.121363 | + | 0.272587i | ||||
\(993\) | − | 1.00628i | − | 0.0319334i | ||||||
\(994\) | −48.8905 | + | 20.3439i | −1.55071 | + | 0.645271i | ||||
\(995\) | −15.4339 | + | 42.4937i | −0.489288 | + | 1.34714i | ||||
\(996\) | 0.0442233 | − | 0.420757i | 0.00140127 | − | 0.0133322i | ||||
\(997\) | 21.3841 | + | 48.0295i | 0.677242 | + | 1.52111i | 0.844705 | + | 0.535233i | \(0.179776\pi\) |
−0.167462 | + | 0.985878i | \(0.553557\pi\) | |||||||
\(998\) | 19.1393 | − | 17.2331i | 0.605843 | − | 0.545504i | ||||
\(999\) | 3.55437 | + | 6.15634i | 0.112455 | + | 0.194778i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 175.2.t.a.4.4 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.q.b.851.29 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.851.8 | 288 | |||
5.4 | even | 2 | 875.2.u.a.774.15 | 144 | |||
7.2 | even | 3 | inner | 175.2.t.a.79.4 | yes | 144 | |
25.6 | even | 5 | 875.2.u.a.599.15 | 144 | |||
25.8 | odd | 20 | 875.2.q.b.151.29 | 288 | |||
25.17 | odd | 20 | 875.2.q.b.151.8 | 288 | |||
25.19 | even | 10 | inner | 175.2.t.a.144.4 | yes | 144 | |
35.2 | odd | 12 | 875.2.q.b.226.8 | 288 | |||
35.9 | even | 6 | 875.2.u.a.149.15 | 144 | |||
35.23 | odd | 12 | 875.2.q.b.226.29 | 288 | |||
175.44 | even | 30 | inner | 175.2.t.a.44.4 | yes | 144 | |
175.58 | odd | 60 | 875.2.q.b.401.8 | 288 | |||
175.142 | odd | 60 | 875.2.q.b.401.29 | 288 | |||
175.156 | even | 15 | 875.2.u.a.849.15 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.4.4 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.44.4 | yes | 144 | 175.44 | even | 30 | inner | |
175.2.t.a.79.4 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.t.a.144.4 | yes | 144 | 25.19 | even | 10 | inner | |
875.2.q.b.151.8 | 288 | 25.17 | odd | 20 | |||
875.2.q.b.151.29 | 288 | 25.8 | odd | 20 | |||
875.2.q.b.226.8 | 288 | 35.2 | odd | 12 | |||
875.2.q.b.226.29 | 288 | 35.23 | odd | 12 | |||
875.2.q.b.401.8 | 288 | 175.58 | odd | 60 | |||
875.2.q.b.401.29 | 288 | 175.142 | odd | 60 | |||
875.2.q.b.851.8 | 288 | 5.3 | odd | 4 | |||
875.2.q.b.851.29 | 288 | 5.2 | odd | 4 | |||
875.2.u.a.149.15 | 144 | 35.9 | even | 6 | |||
875.2.u.a.599.15 | 144 | 25.6 | even | 5 | |||
875.2.u.a.774.15 | 144 | 5.4 | even | 2 | |||
875.2.u.a.849.15 | 144 | 175.156 | even | 15 |