Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(9,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 81.2 | ||
Character | \(\chi\) | \(=\) | 98.81 |
Dual form | 98.2.g.b.23.2 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0747301 | + | 0.997204i | 0.0528422 | + | 0.705130i | ||||
\(3\) | 1.95066 | + | 0.601698i | 1.12621 | + | 0.347390i | 0.801246 | − | 0.598335i | \(-0.204171\pi\) |
0.324966 | + | 0.945726i | \(0.394647\pi\) | |||||||
\(4\) | −0.988831 | + | 0.149042i | −0.494415 | + | 0.0745211i | ||||
\(5\) | 0.958118 | − | 0.889004i | 0.428484 | − | 0.397575i | −0.436234 | − | 0.899833i | \(-0.643688\pi\) |
0.864717 | + | 0.502259i | \(0.167497\pi\) | |||||||
\(6\) | −0.454243 | + | 1.99017i | −0.185444 | + | 0.812482i | ||||
\(7\) | −2.43754 | − | 1.02877i | −0.921305 | − | 0.388840i | ||||
\(8\) | −0.222521 | − | 0.974928i | −0.0786730 | − | 0.344689i | ||||
\(9\) | 0.964304 | + | 0.657452i | 0.321435 | + | 0.219151i | ||||
\(10\) | 0.958118 | + | 0.889004i | 0.302984 | + | 0.281128i | ||||
\(11\) | −2.30365 | + | 1.57060i | −0.694575 | + | 0.473553i | −0.858430 | − | 0.512931i | \(-0.828560\pi\) |
0.163854 | + | 0.986485i | \(0.447607\pi\) | |||||||
\(12\) | −2.01855 | − | 0.304247i | −0.582705 | − | 0.0878286i | ||||
\(13\) | −0.810304 | − | 0.390222i | −0.224738 | − | 0.108228i | 0.318127 | − | 0.948048i | \(-0.396946\pi\) |
−0.542865 | + | 0.839820i | \(0.682660\pi\) | |||||||
\(14\) | 0.843740 | − | 2.50761i | 0.225499 | − | 0.670187i | ||||
\(15\) | 2.40387 | − | 1.15764i | 0.620677 | − | 0.298902i | ||||
\(16\) | 0.955573 | − | 0.294755i | 0.238893 | − | 0.0736888i | ||||
\(17\) | 0.719733 | + | 1.83385i | 0.174561 | + | 0.444774i | 0.991200 | − | 0.132375i | \(-0.0422604\pi\) |
−0.816639 | + | 0.577149i | \(0.804165\pi\) | |||||||
\(18\) | −0.583551 | + | 1.01074i | −0.137544 | + | 0.238234i | ||||
\(19\) | 0.387065 | + | 0.670417i | 0.0887989 | + | 0.153804i | 0.907004 | − | 0.421123i | \(-0.138364\pi\) |
−0.818205 | + | 0.574927i | \(0.805030\pi\) | |||||||
\(20\) | −0.814918 | + | 1.02187i | −0.182221 | + | 0.228498i | ||||
\(21\) | −4.13580 | − | 3.47345i | −0.902506 | − | 0.757969i | ||||
\(22\) | −1.73836 | − | 2.17983i | −0.370619 | − | 0.464742i | ||||
\(23\) | 2.28676 | − | 5.82658i | 0.476823 | − | 1.21493i | −0.466936 | − | 0.884291i | \(-0.654642\pi\) |
0.943759 | − | 0.330635i | \(-0.107263\pi\) | |||||||
\(24\) | 0.152550 | − | 2.03564i | 0.0311392 | − | 0.415523i | ||||
\(25\) | −0.245988 | + | 3.28248i | −0.0491975 | + | 0.656495i | ||||
\(26\) | 0.328576 | − | 0.837199i | 0.0644391 | − | 0.164188i | ||||
\(27\) | −2.33284 | − | 2.92529i | −0.448955 | − | 0.562972i | ||||
\(28\) | 2.56365 | + | 0.653987i | 0.484484 | + | 0.123592i | ||||
\(29\) | 6.52548 | − | 8.18270i | 1.21175 | − | 1.51949i | 0.421353 | − | 0.906897i | \(-0.361555\pi\) |
0.790399 | − | 0.612592i | \(-0.209873\pi\) | |||||||
\(30\) | 1.33405 | + | 2.31064i | 0.243563 | + | 0.421863i | ||||
\(31\) | −4.21876 | + | 7.30711i | −0.757713 | + | 1.31240i | 0.186302 | + | 0.982493i | \(0.440350\pi\) |
−0.944014 | + | 0.329904i | \(0.892984\pi\) | |||||||
\(32\) | 0.365341 | + | 0.930874i | 0.0645838 | + | 0.164557i | ||||
\(33\) | −5.43865 | + | 1.67760i | −0.946747 | + | 0.292033i | ||||
\(34\) | −1.77494 | + | 0.854764i | −0.304399 | + | 0.146591i | ||||
\(35\) | −3.25004 | + | 1.18130i | −0.549357 | + | 0.199676i | ||||
\(36\) | −1.05152 | − | 0.506386i | −0.175254 | − | 0.0843977i | ||||
\(37\) | 3.65860 | + | 0.551445i | 0.601470 | + | 0.0906570i | 0.442717 | − | 0.896661i | \(-0.354015\pi\) |
0.158753 | + | 0.987318i | \(0.449253\pi\) | |||||||
\(38\) | −0.639617 | + | 0.436083i | −0.103760 | + | 0.0707421i | ||||
\(39\) | −1.34583 | − | 1.24875i | −0.215505 | − | 0.199959i | ||||
\(40\) | −1.07992 | − | 0.736274i | −0.170750 | − | 0.116415i | ||||
\(41\) | −1.26678 | − | 5.55015i | −0.197838 | − | 0.866787i | −0.972220 | − | 0.234068i | \(-0.924796\pi\) |
0.774382 | − | 0.632719i | \(-0.218061\pi\) | |||||||
\(42\) | 3.15467 | − | 4.38381i | 0.486776 | − | 0.676436i | ||||
\(43\) | −2.00714 | + | 8.79388i | −0.306087 | + | 1.34105i | 0.554684 | + | 0.832061i | \(0.312839\pi\) |
−0.860771 | + | 0.508993i | \(0.830018\pi\) | |||||||
\(44\) | 2.04383 | − | 1.89640i | 0.308119 | − | 0.285893i | ||||
\(45\) | 1.50839 | − | 0.227354i | 0.224858 | − | 0.0338919i | ||||
\(46\) | 5.98118 | + | 1.84495i | 0.881877 | + | 0.272023i | ||||
\(47\) | 0.907661 | + | 12.1119i | 0.132396 | + | 1.76670i | 0.528915 | + | 0.848675i | \(0.322599\pi\) |
−0.396520 | + | 0.918026i | \(0.629782\pi\) | |||||||
\(48\) | 2.04135 | 0.294643 | ||||||||
\(49\) | 4.88324 | + | 5.01537i | 0.697606 | + | 0.716481i | ||||
\(50\) | −3.29168 | −0.465514 | ||||||||
\(51\) | 0.300528 | + | 4.01027i | 0.0420824 | + | 0.561551i | ||||
\(52\) | 0.859413 | + | 0.265094i | 0.119179 | + | 0.0367619i | ||||
\(53\) | 6.87650 | − | 1.03647i | 0.944560 | − | 0.142369i | 0.341336 | − | 0.939941i | \(-0.389121\pi\) |
0.603224 | + | 0.797572i | \(0.293883\pi\) | |||||||
\(54\) | 2.74278 | − | 2.54492i | 0.373244 | − | 0.346320i | ||||
\(55\) | −0.810897 | + | 3.55277i | −0.109341 | + | 0.479055i | ||||
\(56\) | −0.460577 | + | 2.60535i | −0.0615471 | + | 0.348155i | ||||
\(57\) | 0.351643 | + | 1.54065i | 0.0465763 | + | 0.204064i | ||||
\(58\) | 8.64747 | + | 5.89574i | 1.13547 | + | 0.774149i | ||||
\(59\) | 3.85448 | + | 3.57644i | 0.501811 | + | 0.465613i | 0.889996 | − | 0.455969i | \(-0.150707\pi\) |
−0.388185 | + | 0.921582i | \(0.626898\pi\) | |||||||
\(60\) | −2.20448 | + | 1.50299i | −0.284598 | + | 0.194035i | ||||
\(61\) | −12.1696 | − | 1.83427i | −1.55815 | − | 0.234854i | −0.687292 | − | 0.726381i | \(-0.741201\pi\) |
−0.870862 | + | 0.491527i | \(0.836439\pi\) | |||||||
\(62\) | −7.60195 | − | 3.66091i | −0.965449 | − | 0.464936i | ||||
\(63\) | −1.67417 | − | 2.59462i | −0.210925 | − | 0.326891i | ||||
\(64\) | −0.900969 | + | 0.433884i | −0.112621 | + | 0.0542355i | ||||
\(65\) | −1.12328 | + | 0.346485i | −0.139325 | + | 0.0429761i | ||||
\(66\) | −2.07934 | − | 5.29807i | −0.255949 | − | 0.652148i | ||||
\(67\) | 0.734787 | − | 1.27269i | 0.0897685 | − | 0.155484i | −0.817645 | − | 0.575723i | \(-0.804721\pi\) |
0.907413 | + | 0.420240i | \(0.138054\pi\) | |||||||
\(68\) | −0.985015 | − | 1.70610i | −0.119451 | − | 0.206895i | ||||
\(69\) | 7.96653 | − | 9.98972i | 0.959058 | − | 1.20262i | ||||
\(70\) | −1.42087 | − | 3.15267i | −0.169827 | − | 0.376817i | ||||
\(71\) | −3.74129 | − | 4.69143i | −0.444010 | − | 0.556771i | 0.508585 | − | 0.861012i | \(-0.330169\pi\) |
−0.952595 | + | 0.304241i | \(0.901597\pi\) | |||||||
\(72\) | 0.426390 | − | 1.08642i | 0.0502505 | − | 0.128036i | ||||
\(73\) | 0.00237545 | − | 0.0316982i | 0.000278025 | − | 0.00370999i | −0.997063 | − | 0.0765850i | \(-0.975598\pi\) |
0.997341 | + | 0.0728750i | \(0.0232174\pi\) | |||||||
\(74\) | −0.276496 | + | 3.68958i | −0.0321420 | + | 0.428905i | ||||
\(75\) | −2.45490 | + | 6.25498i | −0.283467 | + | 0.722262i | ||||
\(76\) | −0.482663 | − | 0.605240i | −0.0553652 | − | 0.0694258i | ||||
\(77\) | 7.23103 | − | 1.45847i | 0.824052 | − | 0.166208i | ||||
\(78\) | 1.14468 | − | 1.43538i | 0.129610 | − | 0.162525i | ||||
\(79\) | −6.94343 | − | 12.0264i | −0.781196 | − | 1.35307i | −0.931245 | − | 0.364393i | \(-0.881276\pi\) |
0.150049 | − | 0.988679i | \(-0.452057\pi\) | |||||||
\(80\) | 0.653513 | − | 1.13192i | 0.0730650 | − | 0.126552i | ||||
\(81\) | −4.06960 | − | 10.3692i | −0.452178 | − | 1.15213i | ||||
\(82\) | 5.43996 | − | 1.67801i | 0.600743 | − | 0.185305i | ||||
\(83\) | −9.26679 | + | 4.46265i | −1.01716 | + | 0.489840i | −0.866728 | − | 0.498780i | \(-0.833781\pi\) |
−0.150434 | + | 0.988620i | \(0.548067\pi\) | |||||||
\(84\) | 4.60730 | + | 2.81825i | 0.502697 | + | 0.307496i | ||||
\(85\) | 2.31989 | + | 1.11720i | 0.251627 | + | 0.121177i | ||||
\(86\) | −8.91928 | − | 1.34437i | −0.961791 | − | 0.144967i | ||||
\(87\) | 17.6525 | − | 12.0353i | 1.89255 | − | 1.29032i | ||||
\(88\) | 2.04383 | + | 1.89640i | 0.217873 | + | 0.202157i | ||||
\(89\) | 2.43024 | + | 1.65691i | 0.257605 | + | 0.175632i | 0.685236 | − | 0.728321i | \(-0.259699\pi\) |
−0.427631 | + | 0.903954i | \(0.640652\pi\) | |||||||
\(90\) | 0.339441 | + | 1.48719i | 0.0357802 | + | 0.156763i | ||||
\(91\) | 1.57370 | + | 1.78480i | 0.164969 | + | 0.187098i | ||||
\(92\) | −1.39282 | + | 6.10233i | −0.145211 | + | 0.636212i | ||||
\(93\) | −12.6260 | + | 11.7153i | −1.30926 | + | 1.21481i | ||||
\(94\) | −12.0102 | + | 1.81025i | −1.23876 | + | 0.186713i | ||||
\(95\) | 0.966857 | + | 0.298236i | 0.0991975 | + | 0.0305984i | ||||
\(96\) | 0.152550 | + | 2.03564i | 0.0155696 | + | 0.207762i | ||||
\(97\) | 9.86141 | 1.00127 | 0.500637 | − | 0.865657i | \(-0.333099\pi\) | ||||
0.500637 | + | 0.865657i | \(0.333099\pi\) | |||||||
\(98\) | −4.63642 | + | 5.24439i | −0.468349 | + | 0.529763i | ||||
\(99\) | −3.25401 | −0.327040 | ||||||||
\(100\) | −0.245988 | − | 3.28248i | −0.0245988 | − | 0.328248i | ||||
\(101\) | −5.62063 | − | 1.73374i | −0.559274 | − | 0.172513i | 0.00221489 | − | 0.999998i | \(-0.499295\pi\) |
−0.561489 | + | 0.827484i | \(0.689771\pi\) | |||||||
\(102\) | −3.97660 | + | 0.599376i | −0.393742 | + | 0.0593471i | ||||
\(103\) | 13.3780 | − | 12.4130i | 1.31817 | − | 1.22308i | 0.361342 | − | 0.932433i | \(-0.382319\pi\) |
0.956829 | − | 0.290651i | \(-0.0938719\pi\) | |||||||
\(104\) | −0.200128 | + | 0.876820i | −0.0196242 | + | 0.0859793i | ||||
\(105\) | −7.05050 | + | 0.348765i | −0.688058 | + | 0.0340360i | ||||
\(106\) | 1.54745 | + | 6.77981i | 0.150301 | + | 0.658514i | ||||
\(107\) | −6.87906 | − | 4.69006i | −0.665024 | − | 0.453405i | 0.183177 | − | 0.983080i | \(-0.441362\pi\) |
−0.848201 | + | 0.529674i | \(0.822314\pi\) | |||||||
\(108\) | 2.74278 | + | 2.54492i | 0.263924 | + | 0.244885i | ||||
\(109\) | −5.04810 | + | 3.44174i | −0.483521 | + | 0.329659i | −0.780426 | − | 0.625248i | \(-0.784998\pi\) |
0.296905 | + | 0.954907i | \(0.404045\pi\) | |||||||
\(110\) | −3.60343 | − | 0.543130i | −0.343574 | − | 0.0517854i | ||||
\(111\) | 6.80486 | + | 3.27705i | 0.645889 | + | 0.311044i | ||||
\(112\) | −2.63249 | − | 0.264590i | −0.248747 | − | 0.0250014i | ||||
\(113\) | 11.4501 | − | 5.51408i | 1.07714 | − | 0.518721i | 0.190736 | − | 0.981641i | \(-0.438913\pi\) |
0.886400 | + | 0.462920i | \(0.153198\pi\) | |||||||
\(114\) | −1.51006 | + | 0.465793i | −0.141430 | + | 0.0436255i | ||||
\(115\) | −2.98886 | − | 7.61550i | −0.278713 | − | 0.710149i | ||||
\(116\) | −5.23303 | + | 9.06388i | −0.485875 | + | 0.841560i | ||||
\(117\) | −0.524827 | − | 0.909028i | −0.0485203 | − | 0.0840397i | ||||
\(118\) | −3.27839 | + | 4.11097i | −0.301800 | + | 0.378446i | ||||
\(119\) | 0.132237 | − | 5.21053i | 0.0121222 | − | 0.477649i | ||||
\(120\) | −1.66353 | − | 2.08600i | −0.151859 | − | 0.190425i | ||||
\(121\) | −1.17875 | + | 3.00340i | −0.107159 | + | 0.273037i | ||||
\(122\) | 0.919706 | − | 12.2726i | 0.0832663 | − | 1.11111i | ||||
\(123\) | 0.868449 | − | 11.5886i | 0.0783054 | − | 1.04491i | ||||
\(124\) | 3.08258 | − | 7.85427i | 0.276823 | − | 0.705335i | ||||
\(125\) | 6.75704 | + | 8.47306i | 0.604368 | + | 0.757853i | ||||
\(126\) | 2.46225 | − | 1.86338i | 0.219355 | − | 0.166003i | ||||
\(127\) | −1.38226 | + | 1.73330i | −0.122656 | + | 0.153805i | −0.839368 | − | 0.543564i | \(-0.817075\pi\) |
0.716712 | + | 0.697369i | \(0.245646\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −9.20651 | + | 15.9461i | −0.810588 | + | 1.40398i | ||||
\(130\) | −0.429458 | − | 1.09424i | −0.0376660 | − | 0.0959713i | ||||
\(131\) | 3.85124 | − | 1.18795i | 0.336484 | − | 0.103792i | −0.121909 | − | 0.992541i | \(-0.538902\pi\) |
0.458393 | + | 0.888750i | \(0.348425\pi\) | |||||||
\(132\) | 5.12787 | − | 2.46945i | 0.446324 | − | 0.214938i | ||||
\(133\) | −0.253781 | − | 2.03237i | −0.0220056 | − | 0.176229i | ||||
\(134\) | 1.32404 | + | 0.637624i | 0.114380 | + | 0.0550823i | ||||
\(135\) | −4.83573 | − | 0.728869i | −0.416193 | − | 0.0627310i | ||||
\(136\) | 1.62772 | − | 1.10976i | 0.139575 | − | 0.0951610i | ||||
\(137\) | −1.61689 | − | 1.50025i | −0.138140 | − | 0.128175i | 0.608077 | − | 0.793878i | \(-0.291941\pi\) |
−0.746217 | + | 0.665703i | \(0.768132\pi\) | |||||||
\(138\) | 10.5571 | + | 7.19772i | 0.898682 | + | 0.612711i | ||||
\(139\) | 2.32127 | + | 10.1701i | 0.196887 | + | 0.862620i | 0.972776 | + | 0.231749i | \(0.0744450\pi\) |
−0.775888 | + | 0.630871i | \(0.782698\pi\) | |||||||
\(140\) | 3.03768 | − | 1.65250i | 0.256731 | − | 0.139662i | ||||
\(141\) | −5.51716 | + | 24.1723i | −0.464629 | + | 2.03567i | ||||
\(142\) | 4.39873 | − | 4.08142i | 0.369133 | − | 0.342505i | ||||
\(143\) | 2.47953 | − | 0.373730i | 0.207349 | − | 0.0312528i | ||||
\(144\) | 1.11525 | + | 0.344009i | 0.0929375 | + | 0.0286674i | ||||
\(145\) | −1.02226 | − | 13.6412i | −0.0848945 | − | 1.13284i | ||||
\(146\) | 0.0317871 | 0.00263072 | ||||||||
\(147\) | 6.50780 | + | 12.7215i | 0.536754 | + | 1.04925i | ||||
\(148\) | −3.69992 | −0.304132 | ||||||||
\(149\) | 0.246120 | + | 3.28424i | 0.0201629 | + | 0.269056i | 0.998169 | + | 0.0604809i | \(0.0192634\pi\) |
−0.978006 | + | 0.208575i | \(0.933118\pi\) | |||||||
\(150\) | −6.42094 | − | 1.98060i | −0.524268 | − | 0.161715i | ||||
\(151\) | 13.8574 | − | 2.08866i | 1.12770 | − | 0.169973i | 0.441411 | − | 0.897305i | \(-0.354478\pi\) |
0.686285 | + | 0.727332i | \(0.259240\pi\) | |||||||
\(152\) | 0.567478 | − | 0.526543i | 0.0460285 | − | 0.0427082i | ||||
\(153\) | −0.511626 | + | 2.24158i | −0.0413625 | + | 0.181221i | ||||
\(154\) | 1.99477 | + | 7.10182i | 0.160743 | + | 0.572281i | ||||
\(155\) | 2.45398 | + | 10.7516i | 0.197108 | + | 0.863588i | ||||
\(156\) | 1.51691 | + | 1.03421i | 0.121450 | + | 0.0828034i | ||||
\(157\) | −2.22740 | − | 2.06673i | −0.177766 | − | 0.164943i | 0.586271 | − | 0.810115i | \(-0.300595\pi\) |
−0.764037 | + | 0.645172i | \(0.776786\pi\) | |||||||
\(158\) | 11.4739 | − | 7.82274i | 0.912811 | − | 0.622344i | ||||
\(159\) | 14.0373 | + | 2.11579i | 1.11323 | + | 0.167793i | ||||
\(160\) | 1.17759 | + | 0.567098i | 0.0930967 | + | 0.0448330i | ||||
\(161\) | −11.5683 | + | 11.8500i | −0.911712 | + | 0.933909i | ||||
\(162\) | 10.0361 | − | 4.83311i | 0.788507 | − | 0.379725i | ||||
\(163\) | 8.08053 | − | 2.49251i | 0.632916 | − | 0.195229i | 0.0383356 | − | 0.999265i | \(-0.487794\pi\) |
0.594580 | + | 0.804036i | \(0.297318\pi\) | |||||||
\(164\) | 2.07984 | + | 5.29935i | 0.162408 | + | 0.413810i | ||||
\(165\) | −3.71947 | + | 6.44232i | −0.289561 | + | 0.501534i | ||||
\(166\) | −5.14268 | − | 8.90738i | −0.399149 | − | 0.691347i | ||||
\(167\) | 6.48156 | − | 8.12762i | 0.501558 | − | 0.628934i | −0.465022 | − | 0.885299i | \(-0.653954\pi\) |
0.966580 | + | 0.256365i | \(0.0825249\pi\) | |||||||
\(168\) | −2.46606 | + | 4.80502i | −0.190261 | + | 0.370716i | ||||
\(169\) | −7.60105 | − | 9.53141i | −0.584696 | − | 0.733186i | ||||
\(170\) | −0.940710 | + | 2.39689i | −0.0721492 | + | 0.183833i | ||||
\(171\) | −0.0675178 | + | 0.900963i | −0.00516322 | + | 0.0688983i | ||||
\(172\) | 0.674067 | − | 8.99481i | 0.0513972 | − | 0.685848i | ||||
\(173\) | 0.215003 | − | 0.547818i | 0.0163464 | − | 0.0416499i | −0.922468 | − | 0.386075i | \(-0.873831\pi\) |
0.938814 | + | 0.344425i | \(0.111926\pi\) | |||||||
\(174\) | 13.3208 | + | 16.7037i | 1.00985 | + | 1.26631i | ||||
\(175\) | 3.97654 | − | 7.74812i | 0.300598 | − | 0.585703i | ||||
\(176\) | −1.73836 | + | 2.17983i | −0.131034 | + | 0.164311i | ||||
\(177\) | 5.36684 | + | 9.29564i | 0.403396 | + | 0.698703i | ||||
\(178\) | −1.47067 | + | 2.54727i | −0.110231 | + | 0.190926i | ||||
\(179\) | −3.75370 | − | 9.56427i | −0.280565 | − | 0.714867i | −0.999798 | − | 0.0200985i | \(-0.993602\pi\) |
0.719233 | − | 0.694769i | \(-0.244493\pi\) | |||||||
\(180\) | −1.45766 | + | 0.449629i | −0.108648 | + | 0.0335134i | ||||
\(181\) | −7.89317 | + | 3.80115i | −0.586694 | + | 0.282537i | −0.703589 | − | 0.710607i | \(-0.748420\pi\) |
0.116895 | + | 0.993144i | \(0.462706\pi\) | |||||||
\(182\) | −1.66221 | + | 1.70268i | −0.123211 | + | 0.126211i | ||||
\(183\) | −22.6350 | − | 10.9004i | −1.67323 | − | 0.805784i | ||||
\(184\) | −6.18935 | − | 0.932894i | −0.456285 | − | 0.0687739i | ||||
\(185\) | 3.99561 | − | 2.72416i | 0.293763 | − | 0.200284i | ||||
\(186\) | −12.6260 | − | 11.7153i | −0.925786 | − | 0.859004i | ||||
\(187\) | −4.53825 | − | 3.09413i | −0.331870 | − | 0.226265i | ||||
\(188\) | −2.70271 | − | 11.8413i | −0.197115 | − | 0.863618i | ||||
\(189\) | 2.67694 | + | 9.53049i | 0.194718 | + | 0.693241i | ||||
\(190\) | −0.225149 | + | 0.986441i | −0.0163340 | + | 0.0715640i | ||||
\(191\) | 1.39907 | − | 1.29815i | 0.101233 | − | 0.0939309i | −0.627933 | − | 0.778268i | \(-0.716099\pi\) |
0.729166 | + | 0.684337i | \(0.239908\pi\) | |||||||
\(192\) | −2.01855 | + | 0.304247i | −0.145676 | + | 0.0219571i | ||||
\(193\) | −5.90845 | − | 1.82252i | −0.425300 | − | 0.131188i | 0.0747142 | − | 0.997205i | \(-0.476196\pi\) |
−0.500014 | + | 0.866017i | \(0.666672\pi\) | |||||||
\(194\) | 0.736944 | + | 9.83383i | 0.0529095 | + | 0.706028i | ||||
\(195\) | −2.39960 | −0.171839 | ||||||||
\(196\) | −5.57620 | − | 4.23154i | −0.398300 | − | 0.302253i | ||||
\(197\) | 1.17887 | 0.0839912 | 0.0419956 | − | 0.999118i | \(-0.486628\pi\) | ||||
0.0419956 | + | 0.999118i | \(0.486628\pi\) | |||||||
\(198\) | −0.243172 | − | 3.24491i | −0.0172815 | − | 0.230606i | ||||
\(199\) | −24.2165 | − | 7.46981i | −1.71666 | − | 0.529521i | −0.728785 | − | 0.684743i | \(-0.759914\pi\) |
−0.987880 | + | 0.155222i | \(0.950391\pi\) | |||||||
\(200\) | 3.25492 | − | 0.490600i | 0.230157 | − | 0.0346906i | ||||
\(201\) | 2.19909 | − | 2.04046i | 0.155112 | − | 0.143923i | ||||
\(202\) | 1.30886 | − | 5.73448i | 0.0920909 | − | 0.403476i | ||||
\(203\) | −24.3243 | + | 13.2324i | −1.70723 | + | 0.928735i | ||||
\(204\) | −0.894872 | − | 3.92069i | −0.0626536 | − | 0.274503i | ||||
\(205\) | −6.14783 | − | 4.19152i | −0.429383 | − | 0.292748i | ||||
\(206\) | 13.3780 | + | 12.4130i | 0.932088 | + | 0.864851i | ||||
\(207\) | 6.03583 | − | 4.11516i | 0.419519 | − | 0.286023i | ||||
\(208\) | −0.889324 | − | 0.134044i | −0.0616635 | − | 0.00929428i | ||||
\(209\) | −1.94462 | − | 0.936478i | −0.134512 | − | 0.0647776i | ||||
\(210\) | −0.874674 | − | 7.00472i | −0.0603582 | − | 0.483372i | ||||
\(211\) | −2.62115 | + | 1.26228i | −0.180447 | + | 0.0868988i | −0.521926 | − | 0.852991i | \(-0.674786\pi\) |
0.341479 | + | 0.939889i | \(0.389072\pi\) | |||||||
\(212\) | −6.64522 | + | 2.04978i | −0.456395 | + | 0.140779i | ||||
\(213\) | −4.47515 | − | 11.4025i | −0.306632 | − | 0.781286i | ||||
\(214\) | 4.16287 | − | 7.21031i | 0.284568 | − | 0.492887i | ||||
\(215\) | 5.89471 | + | 10.2099i | 0.402016 | + | 0.696312i | ||||
\(216\) | −2.33284 | + | 2.92529i | −0.158730 | + | 0.199041i | ||||
\(217\) | 17.8008 | − | 13.4713i | 1.20840 | − | 0.914489i | ||||
\(218\) | −3.80936 | − | 4.77679i | −0.258002 | − | 0.323525i | ||||
\(219\) | 0.0237064 | − | 0.0604029i | 0.00160193 | − | 0.00408165i | ||||
\(220\) | 0.272327 | − | 3.63395i | 0.0183603 | − | 0.245001i | ||||
\(221\) | 0.132406 | − | 1.76683i | 0.00890657 | − | 0.118850i | ||||
\(222\) | −2.75936 | + | 7.03073i | −0.185196 | + | 0.471872i | ||||
\(223\) | 4.76555 | + | 5.97581i | 0.319125 | + | 0.400170i | 0.915358 | − | 0.402642i | \(-0.131908\pi\) |
−0.596233 | + | 0.802811i | \(0.703337\pi\) | |||||||
\(224\) | 0.0671245 | − | 2.64490i | 0.00448495 | − | 0.176720i | ||||
\(225\) | −2.39528 | + | 3.00358i | −0.159685 | + | 0.200239i | ||||
\(226\) | 6.35433 | + | 11.0060i | 0.422684 | + | 0.732110i | ||||
\(227\) | −1.33112 | + | 2.30558i | −0.0883498 | + | 0.153026i | −0.906814 | − | 0.421532i | \(-0.861493\pi\) |
0.818464 | + | 0.574558i | \(0.194826\pi\) | |||||||
\(228\) | −0.577337 | − | 1.47103i | −0.0382351 | − | 0.0974215i | ||||
\(229\) | −6.98904 | + | 2.15583i | −0.461848 | + | 0.142461i | −0.516943 | − | 0.856020i | \(-0.672930\pi\) |
0.0550947 | + | 0.998481i | \(0.482454\pi\) | |||||||
\(230\) | 7.37084 | − | 3.54961i | 0.486019 | − | 0.234054i | ||||
\(231\) | 14.9828 | + | 1.50592i | 0.985797 | + | 0.0990821i | ||||
\(232\) | −9.42960 | − | 4.54106i | −0.619083 | − | 0.298135i | ||||
\(233\) | 22.1214 | + | 3.33426i | 1.44922 | + | 0.218434i | 0.826025 | − | 0.563634i | \(-0.190597\pi\) |
0.623193 | + | 0.782068i | \(0.285835\pi\) | |||||||
\(234\) | 0.867266 | − | 0.591292i | 0.0566949 | − | 0.0386539i | ||||
\(235\) | 11.6372 | + | 10.7977i | 0.759125 | + | 0.704365i | ||||
\(236\) | −4.34447 | − | 2.96201i | −0.282801 | − | 0.192810i | ||||
\(237\) | −6.30800 | − | 27.6372i | −0.409749 | − | 1.79523i | ||||
\(238\) | 5.20585 | − | 0.257516i | 0.337445 | − | 0.0166923i | ||||
\(239\) | 6.35223 | − | 27.8309i | 0.410892 | − | 1.80023i | −0.169087 | − | 0.985601i | \(-0.554082\pi\) |
0.579978 | − | 0.814632i | \(-0.303061\pi\) | |||||||
\(240\) | 1.95585 | − | 1.81477i | 0.126250 | − | 0.117143i | ||||
\(241\) | −23.4344 | + | 3.53217i | −1.50954 | + | 0.227527i | −0.851060 | − | 0.525068i | \(-0.824040\pi\) |
−0.658483 | + | 0.752595i | \(0.728802\pi\) | |||||||
\(242\) | −3.08309 | − | 0.951009i | −0.198189 | − | 0.0611331i | ||||
\(243\) | −0.860456 | − | 11.4820i | −0.0551983 | − | 0.736570i | ||||
\(244\) | 12.3070 | 0.787877 | ||||||||
\(245\) | 9.13741 | + | 0.464093i | 0.583768 | + | 0.0296498i | ||||
\(246\) | 11.6211 | 0.740937 | ||||||||
\(247\) | −0.0520293 | − | 0.694282i | −0.00331054 | − | 0.0441761i | ||||
\(248\) | 8.06267 | + | 2.48701i | 0.511980 | + | 0.157925i | ||||
\(249\) | −20.7615 | + | 3.12929i | −1.31571 | + | 0.198311i | ||||
\(250\) | −7.94441 | + | 7.37134i | −0.502449 | + | 0.466204i | ||||
\(251\) | −4.43306 | + | 19.4225i | −0.279813 | + | 1.22594i | 0.618218 | + | 0.786006i | \(0.287855\pi\) |
−0.898031 | + | 0.439933i | \(0.855002\pi\) | |||||||
\(252\) | 2.04217 | + | 2.31612i | 0.128645 | + | 0.145902i | ||||
\(253\) | 3.88333 | + | 17.0140i | 0.244143 | + | 1.06966i | ||||
\(254\) | −1.83175 | − | 1.24886i | −0.114934 | − | 0.0783607i | ||||
\(255\) | 3.85309 | + | 3.57515i | 0.241290 | + | 0.223884i | ||||
\(256\) | 0.826239 | − | 0.563320i | 0.0516399 | − | 0.0352075i | ||||
\(257\) | 18.8787 | + | 2.84551i | 1.17762 | + | 0.177498i | 0.708550 | − | 0.705661i | \(-0.249350\pi\) |
0.469073 | + | 0.883159i | \(0.344588\pi\) | |||||||
\(258\) | −16.5896 | − | 7.98911i | −1.03282 | − | 0.497380i | ||||
\(259\) | −8.35068 | − | 5.10804i | −0.518886 | − | 0.317398i | ||||
\(260\) | 1.05909 | − | 0.510030i | 0.0656819 | − | 0.0316307i | ||||
\(261\) | 11.6723 | − | 3.60042i | 0.722496 | − | 0.222861i | ||||
\(262\) | 1.47243 | + | 3.75169i | 0.0909670 | + | 0.231780i | ||||
\(263\) | −4.17870 | + | 7.23772i | −0.257670 | + | 0.446297i | −0.965617 | − | 0.259968i | \(-0.916288\pi\) |
0.707947 | + | 0.706265i | \(0.249621\pi\) | |||||||
\(264\) | 2.84575 | + | 4.92899i | 0.175144 | + | 0.303358i | ||||
\(265\) | 5.66708 | − | 7.10629i | 0.348126 | − | 0.436536i | ||||
\(266\) | 2.00773 | − | 0.404951i | 0.123102 | − | 0.0248291i | ||||
\(267\) | 3.74361 | + | 4.69433i | 0.229105 | + | 0.287289i | ||||
\(268\) | −0.536896 | + | 1.36799i | −0.0327961 | + | 0.0835632i | ||||
\(269\) | −0.180738 | + | 2.41178i | −0.0110198 | + | 0.147049i | −0.999999 | − | 0.00100230i | \(-0.999681\pi\) |
0.988980 | + | 0.148051i | \(0.0473000\pi\) | |||||||
\(270\) | 0.365456 | − | 4.87668i | 0.0222410 | − | 0.296785i | ||||
\(271\) | −3.86903 | + | 9.85814i | −0.235027 | + | 0.598839i | −0.998918 | − | 0.0465061i | \(-0.985191\pi\) |
0.763891 | + | 0.645345i | \(0.223287\pi\) | |||||||
\(272\) | 1.22829 | + | 1.54023i | 0.0744763 | + | 0.0933903i | ||||
\(273\) | 1.99584 | + | 4.42843i | 0.120794 | + | 0.268021i | ||||
\(274\) | 1.37523 | − | 1.72448i | 0.0830804 | − | 0.104180i | ||||
\(275\) | −4.58879 | − | 7.94801i | −0.276714 | − | 0.479283i | ||||
\(276\) | −6.38866 | + | 11.0655i | −0.384552 | + | 0.666064i | ||||
\(277\) | 7.54038 | + | 19.2126i | 0.453057 | + | 1.15437i | 0.956859 | + | 0.290552i | \(0.0938390\pi\) |
−0.503802 | + | 0.863819i | \(0.668066\pi\) | |||||||
\(278\) | −9.96823 | + | 3.07479i | −0.597855 | + | 0.184414i | ||||
\(279\) | −8.87225 | + | 4.27265i | −0.531168 | + | 0.255797i | ||||
\(280\) | 1.87488 | + | 2.90569i | 0.112046 | + | 0.173648i | ||||
\(281\) | −9.57033 | − | 4.60883i | −0.570918 | − | 0.274940i | 0.126071 | − | 0.992021i | \(-0.459763\pi\) |
−0.696989 | + | 0.717082i | \(0.745477\pi\) | |||||||
\(282\) | −24.5170 | − | 3.69534i | −1.45997 | − | 0.220054i | ||||
\(283\) | 20.3972 | − | 13.9065i | 1.21249 | − | 0.826658i | 0.223504 | − | 0.974703i | \(-0.428250\pi\) |
0.988981 | + | 0.148045i | \(0.0472979\pi\) | |||||||
\(284\) | 4.39873 | + | 4.08142i | 0.261016 | + | 0.242188i | ||||
\(285\) | 1.70656 | + | 1.16351i | 0.101088 | + | 0.0689205i | ||||
\(286\) | 0.557980 | + | 2.44467i | 0.0329941 | + | 0.144556i | ||||
\(287\) | −2.62201 | + | 14.8320i | −0.154772 | + | 0.875503i | ||||
\(288\) | −0.259704 | + | 1.13784i | −0.0153032 | + | 0.0670478i | ||||
\(289\) | 9.61689 | − | 8.92317i | 0.565700 | − | 0.524892i | ||||
\(290\) | 13.5266 | − | 2.03881i | 0.794311 | − | 0.119723i | ||||
\(291\) | 19.2362 | + | 5.93359i | 1.12765 | + | 0.347833i | ||||
\(292\) | 0.00237545 | + | 0.0316982i | 0.000139013 | + | 0.00185500i | ||||
\(293\) | −10.9148 | −0.637647 | −0.318823 | − | 0.947814i | \(-0.603288\pi\) | ||||
−0.318823 | + | 0.947814i | \(0.603288\pi\) | |||||||
\(294\) | −12.1996 | + | 7.44028i | −0.711495 | + | 0.433926i | ||||
\(295\) | 6.87252 | 0.400133 | ||||||||
\(296\) | −0.276496 | − | 3.68958i | −0.0160710 | − | 0.214452i | ||||
\(297\) | 9.96849 | + | 3.07487i | 0.578430 | + | 0.178422i | ||||
\(298\) | −3.25667 | + | 0.490864i | −0.188654 | + | 0.0284350i | ||||
\(299\) | −4.12663 | + | 3.82895i | −0.238649 | + | 0.221434i | ||||
\(300\) | 1.49522 | − | 6.55100i | 0.0863267 | − | 0.378222i | ||||
\(301\) | 13.9394 | − | 19.3706i | 0.803455 | − | 1.11650i | ||||
\(302\) | 3.11838 | + | 13.6625i | 0.179443 | + | 0.786190i | ||||
\(303\) | −9.92074 | − | 6.76384i | −0.569931 | − | 0.388573i | ||||
\(304\) | 0.567478 | + | 0.526543i | 0.0325471 | + | 0.0301993i | ||||
\(305\) | −13.2906 | + | 9.06136i | −0.761016 | + | 0.518852i | ||||
\(306\) | −2.27355 | − | 0.342682i | −0.129970 | − | 0.0195898i | ||||
\(307\) | −11.4673 | − | 5.52234i | −0.654471 | − | 0.315177i | 0.0770182 | − | 0.997030i | \(-0.475460\pi\) |
−0.731489 | + | 0.681853i | \(0.761174\pi\) | |||||||
\(308\) | −6.93289 | + | 2.51991i | −0.395038 | + | 0.143585i | ||||
\(309\) | 33.5647 | − | 16.1639i | 1.90943 | − | 0.919532i | ||||
\(310\) | −10.5381 | + | 3.25058i | −0.598526 | + | 0.184621i | ||||
\(311\) | −1.43091 | − | 3.64589i | −0.0811394 | − | 0.206740i | 0.884547 | − | 0.466451i | \(-0.154468\pi\) |
−0.965686 | + | 0.259712i | \(0.916372\pi\) | |||||||
\(312\) | −0.917963 | + | 1.58996i | −0.0519694 | + | 0.0900136i | ||||
\(313\) | −8.01115 | − | 13.8757i | −0.452817 | − | 0.784302i | 0.545743 | − | 0.837953i | \(-0.316248\pi\) |
−0.998560 | + | 0.0536505i | \(0.982914\pi\) | |||||||
\(314\) | 1.89450 | − | 2.37562i | 0.106913 | − | 0.134064i | ||||
\(315\) | −3.91068 | − | 0.997613i | −0.220342 | − | 0.0562091i | ||||
\(316\) | 8.65831 | + | 10.8572i | 0.487068 | + | 0.610764i | ||||
\(317\) | −12.7743 | + | 32.5483i | −0.717474 | + | 1.82809i | −0.182545 | + | 0.983197i | \(0.558434\pi\) |
−0.534929 | + | 0.844897i | \(0.679662\pi\) | |||||||
\(318\) | −1.06086 | + | 14.1562i | −0.0594900 | + | 0.793840i | ||||
\(319\) | −2.18067 | + | 29.0990i | −0.122094 | + | 1.62923i | ||||
\(320\) | −0.477510 | + | 1.21668i | −0.0266936 | + | 0.0680143i | ||||
\(321\) | −10.5967 | − | 13.2878i | −0.591449 | − | 0.741653i | ||||
\(322\) | −12.6813 | − | 10.6504i | −0.706704 | − | 0.593525i | ||||
\(323\) | −0.950860 | + | 1.19234i | −0.0529073 | + | 0.0663436i | ||||
\(324\) | 5.56959 | + | 9.64681i | 0.309422 | + | 0.535934i | ||||
\(325\) | 1.48022 | − | 2.56381i | 0.0821077 | − | 0.142215i | ||||
\(326\) | 3.08940 | + | 7.87167i | 0.171106 | + | 0.435971i | ||||
\(327\) | −11.9180 | + | 3.67622i | −0.659067 | + | 0.203295i | ||||
\(328\) | −5.12911 | + | 2.47005i | −0.283207 | + | 0.136386i | ||||
\(329\) | 10.2479 | − | 30.4570i | 0.564987 | − | 1.67915i | ||||
\(330\) | −6.70226 | − | 3.22764i | −0.368947 | − | 0.177676i | ||||
\(331\) | 32.3808 | + | 4.88062i | 1.77981 | + | 0.268263i | 0.954885 | − | 0.296977i | \(-0.0959785\pi\) |
0.824926 | + | 0.565241i | \(0.191217\pi\) | |||||||
\(332\) | 8.49816 | − | 5.79395i | 0.466397 | − | 0.317984i | ||||
\(333\) | 3.16545 | + | 2.93711i | 0.173466 | + | 0.160953i | ||||
\(334\) | 8.58926 | + | 5.85606i | 0.469983 | + | 0.320429i | ||||
\(335\) | −0.427412 | − | 1.87261i | −0.0233520 | − | 0.102312i | ||||
\(336\) | −4.97588 | − | 2.10009i | −0.271456 | − | 0.114569i | ||||
\(337\) | −5.67596 | + | 24.8680i | −0.309189 | + | 1.35465i | 0.546631 | + | 0.837374i | \(0.315910\pi\) |
−0.855820 | + | 0.517274i | \(0.826947\pi\) | |||||||
\(338\) | 8.93673 | − | 8.29208i | 0.486094 | − | 0.451030i | ||||
\(339\) | 25.6531 | − | 3.86658i | 1.39328 | − | 0.210004i | ||||
\(340\) | −2.46049 | − | 0.758960i | −0.133439 | − | 0.0411604i | ||||
\(341\) | −1.75801 | − | 23.4590i | −0.0952015 | − | 1.27038i | ||||
\(342\) | −0.903489 | −0.0488551 | ||||||||
\(343\) | −6.74344 | − | 17.2489i | −0.364112 | − | 0.931355i | ||||
\(344\) | 9.02003 | 0.486327 | ||||||||
\(345\) | −1.24802 | − | 16.6536i | −0.0671909 | − | 0.896600i | ||||
\(346\) | 0.562354 | + | 0.173463i | 0.0302323 | + | 0.00932544i | ||||
\(347\) | −2.44095 | + | 0.367914i | −0.131037 | + | 0.0197507i | −0.214233 | − | 0.976783i | \(-0.568725\pi\) |
0.0831962 | + | 0.996533i | \(0.473487\pi\) | |||||||
\(348\) | −15.6616 | + | 14.5318i | −0.839548 | + | 0.778987i | ||||
\(349\) | −4.98979 | + | 21.8617i | −0.267097 | + | 1.17023i | 0.646275 | + | 0.763104i | \(0.276326\pi\) |
−0.913373 | + | 0.407125i | \(0.866531\pi\) | |||||||
\(350\) | 8.02362 | + | 3.38640i | 0.428880 | + | 0.181011i | ||||
\(351\) | 0.748797 | + | 3.28070i | 0.0399678 | + | 0.175111i | ||||
\(352\) | −2.30365 | − | 1.57060i | −0.122785 | − | 0.0837132i | ||||
\(353\) | 17.6865 | + | 16.4107i | 0.941359 | + | 0.873453i | 0.992124 | − | 0.125257i | \(-0.0399757\pi\) |
−0.0507656 | + | 0.998711i | \(0.516166\pi\) | |||||||
\(354\) | −8.86858 | + | 6.04649i | −0.471360 | + | 0.321368i | ||||
\(355\) | −7.75530 | − | 1.16892i | −0.411609 | − | 0.0620400i | ||||
\(356\) | −2.65005 | − | 1.27620i | −0.140452 | − | 0.0676382i | ||||
\(357\) | 3.39312 | − | 10.0844i | 0.179583 | − | 0.533723i | ||||
\(358\) | 9.25701 | − | 4.45794i | 0.489248 | − | 0.235610i | ||||
\(359\) | 0.376522 | − | 0.116142i | 0.0198721 | − | 0.00612972i | −0.284803 | − | 0.958586i | \(-0.591928\pi\) |
0.304675 | + | 0.952456i | \(0.401452\pi\) | |||||||
\(360\) | −0.557303 | − | 1.41999i | −0.0293725 | − | 0.0748398i | ||||
\(361\) | 9.20036 | − | 15.9355i | 0.484230 | − | 0.838710i | ||||
\(362\) | −4.38038 | − | 7.58703i | −0.230227 | − | 0.398766i | ||||
\(363\) | −4.10648 | + | 5.14936i | −0.215534 | + | 0.270271i | ||||
\(364\) | −1.82213 | − | 1.53032i | −0.0955058 | − | 0.0802106i | ||||
\(365\) | −0.0259038 | − | 0.0324824i | −0.00135587 | − | 0.00170021i | ||||
\(366\) | 9.17844 | − | 23.3863i | 0.479765 | − | 1.22242i | ||||
\(367\) | 1.16772 | − | 15.5822i | 0.0609546 | − | 0.813383i | −0.880027 | − | 0.474924i | \(-0.842475\pi\) |
0.940981 | − | 0.338459i | \(-0.109906\pi\) | |||||||
\(368\) | 0.467755 | − | 6.24176i | 0.0243834 | − | 0.325374i | ||||
\(369\) | 2.42739 | − | 6.18488i | 0.126365 | − | 0.321972i | ||||
\(370\) | 3.01513 | + | 3.78086i | 0.156749 | + | 0.196557i | ||||
\(371\) | −17.8281 | − | 4.54794i | −0.925587 | − | 0.236117i | ||||
\(372\) | 10.7389 | − | 13.4662i | 0.556788 | − | 0.698191i | ||||
\(373\) | −2.63813 | − | 4.56937i | −0.136597 | − | 0.236593i | 0.789609 | − | 0.613610i | \(-0.210283\pi\) |
−0.926206 | + | 0.377017i | \(0.876950\pi\) | |||||||
\(374\) | 2.74633 | − | 4.75679i | 0.142009 | − | 0.245968i | ||||
\(375\) | 8.08244 | + | 20.5937i | 0.417375 | + | 1.06346i | ||||
\(376\) | 11.6062 | − | 3.58005i | 0.598546 | − | 0.184627i | ||||
\(377\) | −8.48069 | + | 4.08408i | −0.436778 | + | 0.210341i | ||||
\(378\) | −9.30379 | + | 3.38167i | −0.478535 | + | 0.173934i | ||||
\(379\) | −32.2676 | − | 15.5393i | −1.65748 | − | 0.798199i | −0.998958 | − | 0.0456335i | \(-0.985469\pi\) |
−0.658518 | − | 0.752565i | \(-0.728816\pi\) | |||||||
\(380\) | −1.00051 | − | 0.150802i | −0.0513250 | − | 0.00773600i | ||||
\(381\) | −3.73923 | + | 2.54937i | −0.191567 | + | 0.130608i | ||||
\(382\) | 1.39907 | + | 1.29815i | 0.0715828 | + | 0.0664192i | ||||
\(383\) | −12.5326 | − | 8.54457i | −0.640385 | − | 0.436607i | 0.199108 | − | 0.979978i | \(-0.436196\pi\) |
−0.839493 | + | 0.543370i | \(0.817148\pi\) | |||||||
\(384\) | −0.454243 | − | 1.99017i | −0.0231805 | − | 0.101560i | ||||
\(385\) | 5.63160 | − | 7.82580i | 0.287013 | − | 0.398840i | ||||
\(386\) | 1.37588 | − | 6.02813i | 0.0700305 | − | 0.306823i | ||||
\(387\) | −7.71705 | + | 7.16037i | −0.392280 | + | 0.363982i | ||||
\(388\) | −9.75126 | + | 1.46977i | −0.495045 | + | 0.0746161i | ||||
\(389\) | −23.0643 | − | 7.11438i | −1.16940 | − | 0.360714i | −0.351567 | − | 0.936163i | \(-0.614351\pi\) |
−0.817838 | + | 0.575449i | \(0.804827\pi\) | |||||||
\(390\) | −0.179323 | − | 2.39289i | −0.00908035 | − | 0.121169i | ||||
\(391\) | 12.3309 | 0.623602 | ||||||||
\(392\) | 3.80300 | − | 5.87684i | 0.192080 | − | 0.296825i | ||||
\(393\) | 8.22722 | 0.415009 | ||||||||
\(394\) | 0.0880973 | + | 1.17558i | 0.00443828 | + | 0.0592247i | ||||
\(395\) | −17.3441 | − | 5.34995i | −0.872677 | − | 0.269185i | ||||
\(396\) | 3.21766 | − | 0.484985i | 0.161694 | − | 0.0243714i | ||||
\(397\) | −28.0957 | + | 26.0690i | −1.41008 | + | 1.30837i | −0.518815 | + | 0.854886i | \(0.673627\pi\) |
−0.891267 | + | 0.453479i | \(0.850183\pi\) | |||||||
\(398\) | 5.63922 | − | 24.7070i | 0.282669 | − | 1.23845i | ||||
\(399\) | 0.727835 | − | 4.11716i | 0.0364373 | − | 0.206116i | ||||
\(400\) | 0.732468 | + | 3.20915i | 0.0366234 | + | 0.160458i | ||||
\(401\) | 6.81287 | + | 4.64494i | 0.340219 | + | 0.231957i | 0.721361 | − | 0.692559i | \(-0.243517\pi\) |
−0.381142 | + | 0.924516i | \(0.624469\pi\) | |||||||
\(402\) | 2.19909 | + | 2.04046i | 0.109681 | + | 0.101769i | ||||
\(403\) | 6.26987 | − | 4.27473i | 0.312325 | − | 0.212939i | ||||
\(404\) | 5.81625 | + | 0.876659i | 0.289369 | + | 0.0436154i | ||||
\(405\) | −13.1174 | − | 6.31700i | −0.651808 | − | 0.313894i | ||||
\(406\) | −15.0132 | − | 23.2674i | −0.745092 | − | 1.15474i | ||||
\(407\) | −9.29421 | + | 4.47586i | −0.460697 | + | 0.221860i | ||||
\(408\) | 3.84285 | − | 1.18536i | 0.190250 | − | 0.0586842i | ||||
\(409\) | 3.36816 | + | 8.58193i | 0.166545 | + | 0.424349i | 0.989643 | − | 0.143550i | \(-0.0458517\pi\) |
−0.823098 | + | 0.567899i | \(0.807756\pi\) | |||||||
\(410\) | 3.72037 | − | 6.44387i | 0.183736 | − | 0.318240i | ||||
\(411\) | −2.25129 | − | 3.89935i | −0.111048 | − | 0.192341i | ||||
\(412\) | −11.3785 | + | 14.2682i | −0.560579 | + | 0.702943i | ||||
\(413\) | −5.71612 | − | 12.6831i | −0.281272 | − | 0.624096i | ||||
\(414\) | 4.55471 | + | 5.71143i | 0.223852 | + | 0.280701i | ||||
\(415\) | −4.91137 | + | 12.5140i | −0.241090 | + | 0.614286i | ||||
\(416\) | 0.0672099 | − | 0.896854i | 0.00329524 | − | 0.0439719i | ||||
\(417\) | −1.59135 | + | 21.2352i | −0.0779290 | + | 1.03989i | ||||
\(418\) | 0.788538 | − | 2.00916i | 0.0385687 | − | 0.0982714i | ||||
\(419\) | −5.67594 | − | 7.11741i | −0.277288 | − | 0.347708i | 0.623613 | − | 0.781733i | \(-0.285664\pi\) |
−0.900901 | + | 0.434025i | \(0.857093\pi\) | |||||||
\(420\) | 6.91977 | − | 1.39569i | 0.337650 | − | 0.0681028i | ||||
\(421\) | −5.52252 | + | 6.92502i | −0.269151 | + | 0.337505i | −0.897978 | − | 0.440041i | \(-0.854964\pi\) |
0.628827 | + | 0.777545i | \(0.283535\pi\) | |||||||
\(422\) | −1.45463 | − | 2.51949i | −0.0708101 | − | 0.122647i | ||||
\(423\) | −7.08772 | + | 12.2763i | −0.344617 | + | 0.596894i | ||||
\(424\) | −2.54064 | − | 6.47345i | −0.123385 | − | 0.314379i | ||||
\(425\) | −6.19662 | + | 1.91140i | −0.300580 | + | 0.0927167i | ||||
\(426\) | 11.0362 | − | 5.31475i | 0.534705 | − | 0.257500i | ||||
\(427\) | 27.7768 | + | 16.9909i | 1.34422 | + | 0.822246i | ||||
\(428\) | 7.50124 | + | 3.61241i | 0.362586 | + | 0.174612i | ||||
\(429\) | 5.06159 | + | 0.762912i | 0.244376 | + | 0.0368337i | ||||
\(430\) | −9.74087 | + | 6.64121i | −0.469747 | + | 0.320268i | ||||
\(431\) | −8.29095 | − | 7.69288i | −0.399361 | − | 0.370553i | 0.454772 | − | 0.890608i | \(-0.349721\pi\) |
−0.854133 | + | 0.520055i | \(0.825911\pi\) | |||||||
\(432\) | −3.09144 | − | 2.10771i | −0.148737 | − | 0.101407i | ||||
\(433\) | 4.98736 | + | 21.8511i | 0.239677 | + | 1.05010i | 0.941307 | + | 0.337553i | \(0.109599\pi\) |
−0.701629 | + | 0.712542i | \(0.747544\pi\) | |||||||
\(434\) | 14.7638 | + | 16.7443i | 0.708687 | + | 0.803753i | ||||
\(435\) | 6.21378 | − | 27.2243i | 0.297928 | − | 1.30531i | ||||
\(436\) | 4.47876 | − | 4.15568i | 0.214494 | − | 0.199021i | ||||
\(437\) | 4.79136 | − | 0.722182i | 0.229202 | − | 0.0345466i | ||||
\(438\) | 0.0620056 | + | 0.0191262i | 0.00296274 | + | 0.000913885i | ||||
\(439\) | 0.909800 | + | 12.1404i | 0.0434224 | + | 0.579431i | 0.975902 | + | 0.218209i | \(0.0700214\pi\) |
−0.932480 | + | 0.361222i | \(0.882360\pi\) | |||||||
\(440\) | 3.64414 | 0.173727 | ||||||||
\(441\) | 1.41157 | + | 8.04684i | 0.0672177 | + | 0.383183i | ||||
\(442\) | 1.77179 | 0.0842752 | ||||||||
\(443\) | 1.15486 | + | 15.4105i | 0.0548689 | + | 0.732175i | 0.955010 | + | 0.296575i | \(0.0958445\pi\) |
−0.900141 | + | 0.435599i | \(0.856536\pi\) | |||||||
\(444\) | −7.21728 | − | 2.22624i | −0.342517 | − | 0.105652i | ||||
\(445\) | 3.80146 | − | 0.572978i | 0.180206 | − | 0.0271617i | ||||
\(446\) | −5.60297 | + | 5.19879i | −0.265308 | + | 0.246170i | ||||
\(447\) | −1.49603 | + | 6.55452i | −0.0707596 | + | 0.310018i | ||||
\(448\) | 2.64252 | − | 0.130717i | 0.124847 | − | 0.00617579i | ||||
\(449\) | −7.02794 | − | 30.7914i | −0.331669 | − | 1.45314i | −0.815898 | − | 0.578196i | \(-0.803757\pi\) |
0.484229 | − | 0.874942i | \(-0.339100\pi\) | |||||||
\(450\) | −3.17418 | − | 2.16412i | −0.149632 | − | 0.102018i | ||||
\(451\) | 11.6353 | + | 10.7960i | 0.547884 | + | 0.508362i | ||||
\(452\) | −10.5004 | + | 7.15905i | −0.493897 | + | 0.336733i | ||||
\(453\) | 28.2877 | + | 4.26368i | 1.32907 | + | 0.200325i | ||||
\(454\) | −2.39860 | − | 1.15511i | −0.112572 | − | 0.0542118i | ||||
\(455\) | 3.09449 | + | 0.311026i | 0.145072 | + | 0.0145811i | ||||
\(456\) | 1.42377 | − | 0.685653i | 0.0666743 | − | 0.0321087i | ||||
\(457\) | −0.891393 | + | 0.274958i | −0.0416976 | + | 0.0128620i | −0.315534 | − | 0.948914i | \(-0.602184\pi\) |
0.273836 | + | 0.961776i | \(0.411707\pi\) | |||||||
\(458\) | −2.67209 | − | 6.80839i | −0.124859 | − | 0.318135i | ||||
\(459\) | 3.68552 | − | 6.38350i | 0.172025 | − | 0.297956i | ||||
\(460\) | 4.09051 | + | 7.08497i | 0.190721 | + | 0.330338i | ||||
\(461\) | 12.5568 | − | 15.7457i | 0.584827 | − | 0.733350i | −0.398101 | − | 0.917342i | \(-0.630331\pi\) |
0.982928 | + | 0.183992i | \(0.0589019\pi\) | |||||||
\(462\) | −0.382040 | + | 15.0535i | −0.0177741 | + | 0.700350i | ||||
\(463\) | −2.87011 | − | 3.59901i | −0.133385 | − | 0.167260i | 0.710653 | − | 0.703543i | \(-0.248400\pi\) |
−0.844038 | + | 0.536283i | \(0.819828\pi\) | |||||||
\(464\) | 3.82368 | − | 9.74258i | 0.177510 | − | 0.452288i | ||||
\(465\) | −1.68233 | + | 22.4492i | −0.0780164 | + | 1.04106i | ||||
\(466\) | −1.67180 | + | 22.3087i | −0.0774448 | + | 1.03343i | ||||
\(467\) | −6.33240 | + | 16.1347i | −0.293028 | + | 0.746624i | 0.706225 | + | 0.707987i | \(0.250397\pi\) |
−0.999253 | + | 0.0386366i | \(0.987699\pi\) | |||||||
\(468\) | 0.654449 | + | 0.820653i | 0.0302519 | + | 0.0379347i | ||||
\(469\) | −3.10039 | + | 2.34630i | −0.143163 | + | 0.108342i | ||||
\(470\) | −9.89787 | + | 12.4115i | −0.456555 | + | 0.572502i | ||||
\(471\) | −3.10135 | − | 5.37170i | −0.142903 | − | 0.247515i | ||||
\(472\) | 2.62907 | − | 4.55368i | 0.121013 | − | 0.209600i | ||||
\(473\) | −9.18790 | − | 23.4104i | −0.422460 | − | 1.07641i | ||||
\(474\) | 27.0885 | − | 8.35569i | 1.24421 | − | 0.383789i | ||||
\(475\) | −2.29584 | + | 1.10562i | −0.105340 | + | 0.0507293i | ||||
\(476\) | 0.645829 | + | 5.17205i | 0.0296015 | + | 0.237060i | ||||
\(477\) | 7.31246 | + | 3.52150i | 0.334815 | + | 0.161238i | ||||
\(478\) | 28.2278 | + | 4.25466i | 1.29111 | + | 0.194604i | ||||
\(479\) | −23.4773 | + | 16.0065i | −1.07270 | + | 0.731357i | −0.964848 | − | 0.262810i | \(-0.915351\pi\) |
−0.107856 | + | 0.994167i | \(0.534398\pi\) | |||||||
\(480\) | 1.95585 | + | 1.81477i | 0.0892721 | + | 0.0828324i | ||||
\(481\) | −2.74939 | − | 1.87450i | −0.125361 | − | 0.0854699i | ||||
\(482\) | −5.27355 | − | 23.1049i | −0.240204 | − | 1.05240i | ||||
\(483\) | −29.6959 | + | 16.1546i | −1.35121 | + | 0.735060i | ||||
\(484\) | 0.717949 | − | 3.14554i | 0.0326341 | − | 0.142979i | ||||
\(485\) | 9.44840 | − | 8.76683i | 0.429030 | − | 0.398081i | ||||
\(486\) | 11.3856 | − | 1.71610i | 0.516461 | − | 0.0778439i | ||||
\(487\) | 6.54184 | + | 2.01789i | 0.296439 | + | 0.0914394i | 0.439407 | − | 0.898288i | \(-0.355188\pi\) |
−0.142968 | + | 0.989727i | \(0.545665\pi\) | |||||||
\(488\) | 0.919706 | + | 12.2726i | 0.0416331 | + | 0.555556i | ||||
\(489\) | 17.2621 | 0.780618 | ||||||||
\(490\) | 0.220044 | + | 9.14654i | 0.00994059 | + | 0.413199i | ||||
\(491\) | 2.07001 | 0.0934182 | 0.0467091 | − | 0.998909i | \(-0.485127\pi\) | ||||
0.0467091 | + | 0.998909i | \(0.485127\pi\) | |||||||
\(492\) | 0.868449 | + | 11.5886i | 0.0391527 | + | 0.522457i | ||||
\(493\) | 19.7024 | + | 6.07740i | 0.887354 | + | 0.273712i | ||||
\(494\) | 0.688453 | − | 0.103768i | 0.0309750 | − | 0.00466872i | ||||
\(495\) | −3.11773 | + | 2.89283i | −0.140131 | + | 0.130023i | ||||
\(496\) | −1.87753 | + | 8.22598i | −0.0843034 | + | 0.369358i | ||||
\(497\) | 4.29314 | + | 15.2845i | 0.192574 | + | 0.685604i | ||||
\(498\) | −4.67205 | − | 20.4696i | −0.209360 | − | 0.917264i | ||||
\(499\) | 28.9169 | + | 19.7152i | 1.29450 | + | 0.882575i | 0.997385 | − | 0.0722666i | \(-0.0230232\pi\) |
0.297115 | + | 0.954842i | \(0.403976\pi\) | |||||||
\(500\) | −7.94441 | − | 7.37134i | −0.355285 | − | 0.329656i | ||||
\(501\) | 17.5337 | − | 11.9543i | 0.783347 | − | 0.534077i | ||||
\(502\) | −19.6995 | − | 2.96922i | −0.879232 | − | 0.132523i | ||||
\(503\) | 26.7920 | + | 12.9023i | 1.19460 | + | 0.575287i | 0.922131 | − | 0.386879i | \(-0.126447\pi\) |
0.272465 | + | 0.962166i | \(0.412161\pi\) | |||||||
\(504\) | −2.15703 | + | 2.20955i | −0.0960818 | + | 0.0984211i | ||||
\(505\) | −6.92653 | + | 3.33564i | −0.308226 | + | 0.148434i | ||||
\(506\) | −16.6762 | + | 5.14392i | −0.741347 | + | 0.228675i | ||||
\(507\) | −9.09200 | − | 23.1660i | −0.403790 | − | 1.02884i | ||||
\(508\) | 1.10849 | − | 1.91995i | 0.0491811 | − | 0.0851841i | ||||
\(509\) | 12.1114 | + | 20.9775i | 0.536827 | + | 0.929811i | 0.999073 | + | 0.0430594i | \(0.0137105\pi\) |
−0.462246 | + | 0.886752i | \(0.652956\pi\) | |||||||
\(510\) | −3.27721 | + | 4.10949i | −0.145117 | + | 0.181971i | ||||
\(511\) | −0.0384005 | + | 0.0748219i | −0.00169874 | + | 0.00330993i | ||||
\(512\) | 0.623490 | + | 0.781831i | 0.0275546 | + | 0.0345524i | ||||
\(513\) | 1.05820 | − | 2.69625i | 0.0467207 | − | 0.119042i | ||||
\(514\) | −1.42675 | + | 19.0386i | −0.0629310 | + | 0.839756i | ||||
\(515\) | 1.78253 | − | 23.7862i | 0.0785475 | − | 1.04814i | ||||
\(516\) | 6.72703 | − | 17.1402i | 0.296141 | − | 0.754555i | ||||
\(517\) | −21.1139 | − | 26.4759i | −0.928586 | − | 1.16441i | ||||
\(518\) | 4.46971 | − | 8.70906i | 0.196388 | − | 0.382654i | ||||
\(519\) | 0.749018 | − | 0.939239i | 0.0328782 | − | 0.0412280i | ||||
\(520\) | 0.587750 | + | 1.01801i | 0.0257745 | + | 0.0446428i | ||||
\(521\) | 3.63482 | − | 6.29570i | 0.159244 | − | 0.275820i | −0.775352 | − | 0.631529i | \(-0.782428\pi\) |
0.934596 | + | 0.355710i | \(0.115761\pi\) | |||||||
\(522\) | 4.46263 | + | 11.3706i | 0.195324 | + | 0.497677i | ||||
\(523\) | 27.4232 | − | 8.45895i | 1.19913 | − | 0.369884i | 0.370052 | − | 0.929011i | \(-0.379340\pi\) |
0.829082 | + | 0.559127i | \(0.188864\pi\) | |||||||
\(524\) | −3.63117 | + | 1.74868i | −0.158628 | + | 0.0763913i | ||||
\(525\) | 12.4189 | − | 12.7212i | 0.542004 | − | 0.555201i | ||||
\(526\) | −7.52976 | − | 3.62614i | −0.328313 | − | 0.158107i | ||||
\(527\) | −16.4365 | − | 2.47741i | −0.715987 | − | 0.107918i | ||||
\(528\) | −4.70254 | + | 3.20614i | −0.204652 | + | 0.139529i | ||||
\(529\) | −11.8596 | − | 11.0041i | −0.515633 | − | 0.478437i | ||||
\(530\) | 7.50992 | + | 5.12018i | 0.326210 | + | 0.222406i | ||||
\(531\) | 1.36556 | + | 5.98291i | 0.0592603 | + | 0.259636i | ||||
\(532\) | 0.553856 | + | 1.97185i | 0.0240127 | + | 0.0854905i | ||||
\(533\) | −1.13931 | + | 4.99163i | −0.0493489 | + | 0.216211i | ||||
\(534\) | −4.40145 | + | 4.08395i | −0.190469 | + | 0.176730i | ||||
\(535\) | −10.7604 | + | 1.62187i | −0.465214 | + | 0.0701198i | ||||
\(536\) | −1.40428 | − | 0.433165i | −0.0606559 | − | 0.0187099i | ||||
\(537\) | −1.56738 | − | 20.9152i | −0.0676373 | − | 0.902558i | ||||
\(538\) | −2.41854 | −0.104271 | ||||||||
\(539\) | −19.1264 | − | 3.88401i | −0.823832 | − | 0.167296i | ||||
\(540\) | 4.89035 | 0.210447 | ||||||||
\(541\) | −1.28289 | − | 17.1190i | −0.0551559 | − | 0.736005i | −0.954395 | − | 0.298547i | \(-0.903498\pi\) |
0.899239 | − | 0.437458i | \(-0.144121\pi\) | |||||||
\(542\) | −10.1197 | − | 3.12152i | −0.434679 | − | 0.134081i | ||||
\(543\) | −17.6840 | + | 2.66543i | −0.758893 | + | 0.114385i | ||||
\(544\) | −1.44413 | + | 1.33996i | −0.0619168 | + | 0.0574504i | ||||
\(545\) | −1.77696 | + | 7.78538i | −0.0761167 | + | 0.333489i | ||||
\(546\) | −4.26690 | + | 2.32119i | −0.182606 | + | 0.0993379i | ||||
\(547\) | 2.85144 | + | 12.4930i | 0.121919 | + | 0.534161i | 0.998591 | + | 0.0530721i | \(0.0169013\pi\) |
−0.876672 | + | 0.481089i | \(0.840242\pi\) | |||||||
\(548\) | 1.82243 | + | 1.24251i | 0.0778502 | + | 0.0530774i | ||||
\(549\) | −10.5292 | − | 9.76970i | −0.449377 | − | 0.416961i | ||||
\(550\) | 7.58287 | − | 5.16991i | 0.323335 | − | 0.220446i | ||||
\(551\) | 8.01161 | + | 1.20756i | 0.341306 | + | 0.0514436i | ||||
\(552\) | −11.5120 | − | 5.54387i | −0.489982 | − | 0.235963i | ||||
\(553\) | 4.55249 | + | 36.4580i | 0.193591 | + | 1.55035i | ||||
\(554\) | −18.5954 | + | 8.95505i | −0.790041 | + | 0.380464i | ||||
\(555\) | 9.43318 | − | 2.90975i | 0.400416 | − | 0.123512i | ||||
\(556\) | −3.81112 | − | 9.71058i | −0.161628 | − | 0.411820i | ||||
\(557\) | 8.24287 | − | 14.2771i | 0.349262 | − | 0.604939i | −0.636857 | − | 0.770982i | \(-0.719766\pi\) |
0.986118 | + | 0.166043i | \(0.0530991\pi\) | |||||||
\(558\) | −4.92373 | − | 8.52814i | −0.208438 | − | 0.361025i | ||||
\(559\) | 5.05796 | − | 6.34248i | 0.213929 | − | 0.268258i | ||||
\(560\) | −2.75746 | + | 2.08678i | −0.116524 | + | 0.0881827i | ||||
\(561\) | −6.99084 | − | 8.76624i | −0.295154 | − | 0.370111i | ||||
\(562\) | 3.88075 | − | 9.88798i | 0.163699 | − | 0.417099i | ||||
\(563\) | 1.76787 | − | 23.5906i | 0.0745068 | − | 0.994224i | −0.827209 | − | 0.561895i | \(-0.810073\pi\) |
0.901716 | − | 0.432330i | \(-0.142308\pi\) | |||||||
\(564\) | 1.85285 | − | 24.7246i | 0.0780191 | − | 1.04109i | ||||
\(565\) | 6.06852 | − | 15.4623i | 0.255305 | − | 0.650506i | ||||
\(566\) | 15.3919 | + | 19.3009i | 0.646972 | + | 0.811277i | ||||
\(567\) | −0.747712 | + | 29.4620i | −0.0314010 | + | 1.23729i | ||||
\(568\) | −3.74129 | + | 4.69143i | −0.156981 | + | 0.196848i | ||||
\(569\) | 5.28419 | + | 9.15248i | 0.221525 | + | 0.383692i | 0.955271 | − | 0.295731i | \(-0.0955633\pi\) |
−0.733746 | + | 0.679423i | \(0.762230\pi\) | |||||||
\(570\) | −1.03273 | + | 1.78874i | −0.0432562 | + | 0.0749219i | ||||
\(571\) | 4.15751 | + | 10.5932i | 0.173986 | + | 0.443310i | 0.991092 | − | 0.133178i | \(-0.0425181\pi\) |
−0.817106 | + | 0.576488i | \(0.804423\pi\) | |||||||
\(572\) | −2.39614 | + | 0.739111i | −0.100188 | + | 0.0309038i | ||||
\(573\) | 3.51021 | − | 1.69043i | 0.146641 | − | 0.0706186i | ||||
\(574\) | −14.9864 | − | 1.50628i | −0.625522 | − | 0.0628710i | ||||
\(575\) | 18.5631 | + | 8.93952i | 0.774135 | + | 0.372804i | ||||
\(576\) | −1.15407 | − | 0.173947i | −0.0480861 | − | 0.00724781i | ||||
\(577\) | −21.5931 | + | 14.7219i | −0.898932 | + | 0.612882i | −0.922143 | − | 0.386849i | \(-0.873563\pi\) |
0.0232108 | + | 0.999731i | \(0.492611\pi\) | |||||||
\(578\) | 9.61689 | + | 8.92317i | 0.400010 | + | 0.371155i | ||||
\(579\) | −10.4288 | − | 7.11020i | −0.433404 | − | 0.295490i | ||||
\(580\) | 3.04396 | + | 13.3365i | 0.126393 | + | 0.553766i | ||||
\(581\) | 27.1793 | − | 1.34447i | 1.12759 | − | 0.0557780i | ||||
\(582\) | −4.47947 | + | 19.6259i | −0.185680 | + | 0.813518i | ||||
\(583\) | −14.2131 | + | 13.1879i | −0.588648 | + | 0.546186i | ||||
\(584\) | −0.0314320 | + | 0.00473761i | −0.00130067 | + | 0.000196044i | ||||
\(585\) | −1.31098 | − | 0.404383i | −0.0542022 | − | 0.0167192i | ||||
\(586\) | −0.815661 | − | 10.8842i | −0.0336946 | − | 0.449624i | ||||
\(587\) | −14.8726 | −0.613856 | −0.306928 | − | 0.951733i | \(-0.599301\pi\) | ||||
−0.306928 | + | 0.951733i | \(0.599301\pi\) | |||||||
\(588\) | −8.33115 | − | 11.6095i | −0.343571 | − | 0.478767i | ||||
\(589\) | −6.53175 | −0.269136 | ||||||||
\(590\) | 0.513584 | + | 6.85330i | 0.0211439 | + | 0.282146i | ||||
\(591\) | 2.29958 | + | 0.709325i | 0.0945919 | + | 0.0291777i | ||||
\(592\) | 3.65860 | − | 0.551445i | 0.150367 | − | 0.0226642i | ||||
\(593\) | 23.9114 | − | 22.1865i | 0.981924 | − | 0.911092i | −0.0141252 | − | 0.999900i | \(-0.504496\pi\) |
0.996049 | + | 0.0888083i | \(0.0283059\pi\) | |||||||
\(594\) | −2.32133 | + | 10.1704i | −0.0952452 | + | 0.417297i | ||||
\(595\) | −4.50549 | − | 5.10987i | −0.184707 | − | 0.209484i | ||||
\(596\) | −0.732862 | − | 3.21088i | −0.0300192 | − | 0.131523i | ||||
\(597\) | −42.7436 | − | 29.1421i | −1.74938 | − | 1.19271i | ||||
\(598\) | −4.12663 | − | 3.82895i | −0.168750 | − | 0.156578i | ||||
\(599\) | 7.22033 | − | 4.92274i | 0.295015 | − | 0.201138i | −0.406763 | − | 0.913534i | \(-0.633342\pi\) |
0.701777 | + | 0.712396i | \(0.252390\pi\) | |||||||
\(600\) | 6.64442 | + | 1.00148i | 0.271257 | + | 0.0408854i | ||||
\(601\) | 34.6215 | + | 16.6728i | 1.41224 | + | 0.680099i | 0.975604 | − | 0.219539i | \(-0.0704554\pi\) |
0.436636 | + | 0.899638i | \(0.356170\pi\) | |||||||
\(602\) | 20.3581 | + | 12.4529i | 0.829734 | + | 0.507542i | ||||
\(603\) | 1.54529 | − | 0.744172i | 0.0629290 | − | 0.0303050i | ||||
\(604\) | −13.3913 | + | 4.13067i | −0.544884 | + | 0.168074i | ||||
\(605\) | 1.54066 | + | 3.92553i | 0.0626366 | + | 0.159595i | ||||
\(606\) | 6.00355 | − | 10.3985i | 0.243878 | − | 0.422409i | ||||
\(607\) | 7.79218 | + | 13.4965i | 0.316275 | + | 0.547804i | 0.979708 | − | 0.200432i | \(-0.0642344\pi\) |
−0.663433 | + | 0.748236i | \(0.730901\pi\) | |||||||
\(608\) | −0.482663 | + | 0.605240i | −0.0195746 | + | 0.0245457i | ||||
\(609\) | −55.4103 | + | 11.1761i | −2.24534 | + | 0.452877i | ||||
\(610\) | −10.0292 | − | 12.5763i | −0.406071 | − | 0.509197i | ||||
\(611\) | 3.99084 | − | 10.1685i | 0.161452 | − | 0.411373i | ||||
\(612\) | 0.171821 | − | 2.29280i | 0.00694547 | − | 0.0926808i | ||||
\(613\) | 1.74858 | − | 23.3332i | 0.0706244 | − | 0.942418i | −0.843538 | − | 0.537070i | \(-0.819531\pi\) |
0.914162 | − | 0.405348i | \(-0.132850\pi\) | |||||||
\(614\) | 4.64995 | − | 11.8479i | 0.187657 | − | 0.478141i | ||||
\(615\) | −9.47028 | − | 11.8754i | −0.381878 | − | 0.478860i | ||||
\(616\) | −3.03096 | − | 6.72519i | −0.122121 | − | 0.270966i | ||||
\(617\) | 3.98193 | − | 4.99318i | 0.160307 | − | 0.201018i | −0.695191 | − | 0.718825i | \(-0.744680\pi\) |
0.855497 | + | 0.517807i | \(0.173252\pi\) | |||||||
\(618\) | 18.6270 | + | 32.2629i | 0.749288 | + | 1.29780i | ||||
\(619\) | 3.54447 | − | 6.13920i | 0.142464 | − | 0.246755i | −0.785960 | − | 0.618278i | \(-0.787831\pi\) |
0.928424 | + | 0.371522i | \(0.121164\pi\) | |||||||
\(620\) | −4.02901 | − | 10.2657i | −0.161809 | − | 0.412282i | ||||
\(621\) | −22.3791 | + | 6.90303i | −0.898041 | + | 0.277009i | ||||
\(622\) | 3.52877 | − | 1.69937i | 0.141491 | − | 0.0681383i | ||||
\(623\) | −4.21923 | − | 6.53896i | −0.169040 | − | 0.261978i | ||||
\(624\) | −1.65411 | − | 0.796578i | −0.0662175 | − | 0.0318886i | ||||
\(625\) | −2.26795 | − | 0.341839i | −0.0907182 | − | 0.0136736i | ||||
\(626\) | 13.2383 | − | 9.02569i | 0.529107 | − | 0.360739i | ||||
\(627\) | −3.22980 | − | 2.99682i | −0.128986 | − | 0.119681i | ||||
\(628\) | 2.51056 | + | 1.71167i | 0.100182 | + | 0.0683030i | ||||
\(629\) | 1.62195 | + | 7.10621i | 0.0646712 | + | 0.283343i | ||||
\(630\) | 0.702579 | − | 3.97429i | 0.0279914 | − | 0.158340i | ||||
\(631\) | −1.78951 | + | 7.84035i | −0.0712392 | + | 0.312119i | −0.997976 | − | 0.0635919i | \(-0.979744\pi\) |
0.926737 | + | 0.375711i | \(0.122602\pi\) | |||||||
\(632\) | −10.1798 | + | 9.44546i | −0.404930 | + | 0.375720i | ||||
\(633\) | −5.87247 | + | 0.885132i | −0.233410 | + | 0.0351808i | ||||
\(634\) | −33.4119 | − | 10.3062i | −1.32696 | − | 0.409312i | ||||
\(635\) | 0.216541 | + | 2.88954i | 0.00859316 | + | 0.114668i | ||||
\(636\) | −14.1959 | −0.562903 | ||||||||
\(637\) | −1.99981 | − | 5.96952i | −0.0792352 | − | 0.236521i | ||||
\(638\) | −29.1806 | −1.15527 | ||||||||
\(639\) | −0.523355 | − | 6.98369i | −0.0207036 | − | 0.276270i | ||||
\(640\) | −1.24896 | − | 0.385253i | −0.0493694 | − | 0.0152285i | ||||
\(641\) | −11.9061 | + | 1.79455i | −0.470261 | + | 0.0708805i | −0.379898 | − | 0.925028i | \(-0.624041\pi\) |
−0.0903633 | + | 0.995909i | \(0.528803\pi\) | |||||||
\(642\) | 12.4588 | − | 11.5600i | 0.491708 | − | 0.456239i | ||||
\(643\) | 7.58886 | − | 33.2490i | 0.299276 | − | 1.31121i | −0.571934 | − | 0.820300i | \(-0.693806\pi\) |
0.871209 | − | 0.490912i | \(-0.163336\pi\) | |||||||
\(644\) | 9.67297 | − | 13.4418i | 0.381168 | − | 0.529681i | ||||
\(645\) | 5.35526 | + | 23.4629i | 0.210863 | + | 0.923851i | ||||
\(646\) | −1.26006 | − | 0.859098i | −0.0495766 | − | 0.0338007i | ||||
\(647\) | 5.96156 | + | 5.53152i | 0.234373 | + | 0.217466i | 0.788612 | − | 0.614891i | \(-0.210800\pi\) |
−0.554239 | + | 0.832358i | \(0.686991\pi\) | |||||||
\(648\) | −9.20362 | + | 6.27492i | −0.361552 | + | 0.246502i | ||||
\(649\) | −14.4965 | − | 2.18500i | −0.569038 | − | 0.0857687i | ||||
\(650\) | 2.66726 | + | 1.28449i | 0.104619 | + | 0.0503817i | ||||
\(651\) | 42.8289 | − | 15.5671i | 1.67860 | − | 0.610122i | ||||
\(652\) | −7.61879 | + | 3.66901i | −0.298375 | + | 0.143690i | ||||
\(653\) | −29.1599 | + | 8.99463i | −1.14111 | + | 0.351987i | −0.807003 | − | 0.590547i | \(-0.798912\pi\) |
−0.334110 | + | 0.942534i | \(0.608436\pi\) | |||||||
\(654\) | −4.55657 | − | 11.6100i | −0.178176 | − | 0.453985i | ||||
\(655\) | 2.63385 | − | 4.56196i | 0.102913 | − | 0.178250i | ||||
\(656\) | −2.84644 | − | 4.93018i | −0.111135 | − | 0.192491i | ||||
\(657\) | 0.0231307 | − | 0.0290049i | 0.000902413 | − | 0.00113159i | ||||
\(658\) | 31.1377 | + | 7.94323i | 1.21387 | + | 0.309659i | ||||
\(659\) | 28.4700 | + | 35.7003i | 1.10903 | + | 1.39068i | 0.911952 | + | 0.410297i | \(0.134575\pi\) |
0.197082 | + | 0.980387i | \(0.436854\pi\) | |||||||
\(660\) | 2.71775 | − | 6.92472i | 0.105788 | − | 0.269544i | ||||
\(661\) | 1.59640 | − | 21.3025i | 0.0620927 | − | 0.828570i | −0.876028 | − | 0.482261i | \(-0.839816\pi\) |
0.938120 | − | 0.346309i | \(-0.112565\pi\) | |||||||
\(662\) | −2.44715 | + | 32.6550i | −0.0951114 | + | 1.26917i | ||||
\(663\) | 1.32138 | − | 3.36681i | 0.0513180 | − | 0.130756i | ||||
\(664\) | 6.41282 | + | 8.04142i | 0.248866 | + | 0.312068i | ||||
\(665\) | −2.04994 | − | 1.72164i | −0.0794933 | − | 0.0667624i | ||||
\(666\) | −2.69234 | + | 3.37609i | −0.104326 | + | 0.130821i | ||||
\(667\) | −32.7549 | − | 56.7332i | −1.26827 | − | 2.19672i | ||||
\(668\) | −5.19781 | + | 9.00287i | −0.201109 | + | 0.348331i | ||||
\(669\) | 5.70032 | + | 14.5242i | 0.220387 | + | 0.561537i | ||||
\(670\) | 1.83544 | − | 0.566158i | 0.0709092 | − | 0.0218726i | ||||
\(671\) | 30.9153 | − | 14.8880i | 1.19347 | − | 0.574746i | ||||
\(672\) | 1.72237 | − | 5.11890i | 0.0664418 | − | 0.197466i | ||||
\(673\) | 30.9578 | + | 14.9085i | 1.19333 | + | 0.574679i | 0.921768 | − | 0.387741i | \(-0.126744\pi\) |
0.271565 | + | 0.962420i | \(0.412459\pi\) | |||||||
\(674\) | −25.2226 | − | 3.80170i | −0.971540 | − | 0.146436i | ||||
\(675\) | 10.1760 | − | 6.93791i | 0.391676 | − | 0.267040i | ||||
\(676\) | 8.93673 | + | 8.29208i | 0.343721 | + | 0.318926i | ||||
\(677\) | 2.03381 | + | 1.38663i | 0.0781658 | + | 0.0532925i | 0.601772 | − | 0.798668i | \(-0.294461\pi\) |
−0.523607 | + | 0.851960i | \(0.675414\pi\) | |||||||
\(678\) | 5.77282 | + | 25.2924i | 0.221704 | + | 0.971348i | ||||
\(679\) | −24.0376 | − | 10.1452i | −0.922479 | − | 0.389336i | ||||
\(680\) | 0.572965 | − | 2.51033i | 0.0219722 | − | 0.0962666i | ||||
\(681\) | −3.98383 | + | 3.69645i | −0.152661 | + | 0.141648i | ||||
\(682\) | 23.2620 | − | 3.50619i | 0.890749 | − | 0.134259i | ||||
\(683\) | −20.7884 | − | 6.41236i | −0.795445 | − | 0.245362i | −0.129711 | − | 0.991552i | \(-0.541405\pi\) |
−0.665733 | + | 0.746190i | \(0.731881\pi\) | |||||||
\(684\) | −0.0675178 | − | 0.900963i | −0.00258161 | − | 0.0344492i | ||||
\(685\) | −2.88290 | −0.110150 | ||||||||
\(686\) | 16.6968 | − | 8.01360i | 0.637486 | − | 0.305961i | ||||
\(687\) | −14.9304 | −0.569629 | ||||||||
\(688\) | 0.674067 | + | 8.99481i | 0.0256986 | + | 0.342924i | ||||
\(689\) | −5.97650 | − | 1.84351i | −0.227687 | − | 0.0702320i | ||||
\(690\) | 16.5138 | − | 2.48905i | 0.628669 | − | 0.0947566i | ||||
\(691\) | 13.3249 | − | 12.3637i | 0.506901 | − | 0.470336i | −0.384774 | − | 0.923011i | \(-0.625721\pi\) |
0.891676 | + | 0.452675i | \(0.149530\pi\) | |||||||
\(692\) | −0.130953 | + | 0.573744i | −0.00497810 | + | 0.0218105i | ||||
\(693\) | 7.93179 | + | 3.34764i | 0.301304 | + | 0.127166i | ||||
\(694\) | −0.549297 | − | 2.40663i | −0.0208510 | − | 0.0913544i | ||||
\(695\) | 11.2653 | + | 7.68058i | 0.427319 | + | 0.291341i | ||||
\(696\) | −15.6616 | − | 14.5318i | −0.593650 | − | 0.550827i | ||||
\(697\) | 9.26639 | − | 6.31772i | 0.350989 | − | 0.239301i | ||||
\(698\) | −22.1734 | − | 3.34211i | −0.839277 | − | 0.126501i | ||||
\(699\) | 41.1449 | + | 19.8144i | 1.55624 | + | 0.749448i | ||||
\(700\) | −2.77732 | + | 8.25425i | −0.104973 | + | 0.311981i | ||||
\(701\) | −18.6892 | + | 9.00026i | −0.705882 | + | 0.339935i | −0.752148 | − | 0.658994i | \(-0.770982\pi\) |
0.0462657 | + | 0.998929i | \(0.485268\pi\) | |||||||
\(702\) | −3.21556 | + | 0.991870i | −0.121364 | + | 0.0374357i | ||||
\(703\) | 1.04642 | + | 2.66623i | 0.0394664 | + | 0.100559i | ||||
\(704\) | 1.39406 | − | 2.41458i | 0.0525404 | − | 0.0910027i | ||||
\(705\) | 16.2032 | + | 28.0647i | 0.610246 | + | 1.05698i | ||||
\(706\) | −15.0431 | + | 18.8634i | −0.566154 | + | 0.709935i | ||||
\(707\) | 11.9169 | + | 10.0084i | 0.448182 | + | 0.376405i | ||||
\(708\) | −6.69234 | − | 8.39193i | −0.251513 | − | 0.315388i | ||||
\(709\) | −7.99824 | + | 20.3792i | −0.300380 | + | 0.765356i | 0.698387 | + | 0.715720i | \(0.253901\pi\) |
−0.998767 | + | 0.0496362i | \(0.984194\pi\) | |||||||
\(710\) | 0.586101 | − | 7.82097i | 0.0219960 | − | 0.293516i | ||||
\(711\) | 1.21118 | − | 16.1620i | 0.0454227 | − | 0.606124i | ||||
\(712\) | 1.07459 | − | 2.73801i | 0.0402719 | − | 0.102611i | ||||
\(713\) | 32.9282 | + | 41.2906i | 1.23317 | + | 1.54635i | ||||
\(714\) | 10.3098 | + | 2.63002i | 0.385833 | + | 0.0984261i | ||||
\(715\) | 2.04344 | − | 2.56239i | 0.0764203 | − | 0.0958281i | ||||
\(716\) | 5.13725 | + | 8.89799i | 0.191988 | + | 0.332533i | ||||
\(717\) | 29.1368 | − | 50.4665i | 1.08813 | − | 1.88470i | ||||
\(718\) | 0.143954 | + | 0.366790i | 0.00537233 | + | 0.0136885i | ||||
\(719\) | 35.3017 | − | 10.8891i | 1.31653 | − | 0.406096i | 0.444602 | − | 0.895728i | \(-0.353345\pi\) |
0.871929 | + | 0.489632i | \(0.162869\pi\) | |||||||
\(720\) | 1.37437 | − | 0.661860i | 0.0512196 | − | 0.0246661i | ||||
\(721\) | −45.3795 | + | 16.4942i | −1.69002 | + | 0.614276i | ||||
\(722\) | 16.5785 | + | 7.98377i | 0.616987 | + | 0.297125i | ||||
\(723\) | −47.8378 | − | 7.21039i | −1.77911 | − | 0.268157i | ||||
\(724\) | 7.23847 | − | 4.93511i | 0.269016 | − | 0.183412i | ||||
\(725\) | 25.2543 | + | 23.4326i | 0.937922 | + | 0.870265i | ||||
\(726\) | −5.44184 | − | 3.71018i | −0.201966 | − | 0.137698i | ||||
\(727\) | 1.96182 | + | 8.59528i | 0.0727598 | + | 0.318781i | 0.998190 | − | 0.0601362i | \(-0.0191535\pi\) |
−0.925430 | + | 0.378918i | \(0.876296\pi\) | |||||||
\(728\) | 1.38987 | − | 1.93140i | 0.0515121 | − | 0.0715825i | ||||
\(729\) | −2.20587 | + | 9.66453i | −0.0816987 | + | 0.357946i | ||||
\(730\) | 0.0304558 | − | 0.0282588i | 0.00112722 | − | 0.00104591i | ||||
\(731\) | −17.5713 | + | 2.64844i | −0.649897 | + | 0.0979561i | ||||
\(732\) | 24.0068 | + | 7.40512i | 0.887317 | + | 0.273701i | ||||
\(733\) | 2.41969 | + | 32.2885i | 0.0893732 | + | 1.19260i | 0.843962 | + | 0.536404i | \(0.180217\pi\) |
−0.754588 | + | 0.656198i | \(0.772163\pi\) | |||||||
\(734\) | 15.6259 | 0.576761 | ||||||||
\(735\) | 17.5447 | + | 6.40324i | 0.647146 | + | 0.236187i | ||||
\(736\) | 6.25926 | 0.230719 | ||||||||
\(737\) | 0.306194 | + | 4.08588i | 0.0112788 | + | 0.150505i | ||||
\(738\) | 6.34898 | + | 1.95840i | 0.233709 | + | 0.0720898i | ||||
\(739\) | −10.7112 | + | 1.61446i | −0.394019 | + | 0.0593888i | −0.343064 | − | 0.939312i | \(-0.611465\pi\) |
−0.0509554 | + | 0.998701i | \(0.516227\pi\) | |||||||
\(740\) | −3.54496 | + | 3.28925i | −0.130315 | + | 0.120915i | ||||
\(741\) | 0.316257 | − | 1.38561i | 0.0116180 | − | 0.0509017i | ||||
\(742\) | 3.20293 | − | 18.1181i | 0.117583 | − | 0.665135i | ||||
\(743\) | 4.99972 | + | 21.9052i | 0.183422 | + | 0.803624i | 0.979985 | + | 0.199069i | \(0.0637919\pi\) |
−0.796563 | + | 0.604555i | \(0.793351\pi\) | |||||||
\(744\) | 14.2311 | + | 9.70259i | 0.521737 | + | 0.355714i | ||||
\(745\) | 3.15552 | + | 2.92789i | 0.115609 | + | 0.107270i | ||||
\(746\) | 4.35945 | − | 2.97222i | 0.159611 | − | 0.108821i | ||||
\(747\) | −11.8700 | − | 1.78911i | −0.434300 | − | 0.0654602i | ||||
\(748\) | 4.94872 | + | 2.38318i | 0.180943 | + | 0.0871376i | ||||
\(749\) | 11.9430 | + | 18.5092i | 0.436387 | + | 0.676313i | ||||
\(750\) | −19.9321 | + | 9.59881i | −0.727819 | + | 0.350499i | ||||
\(751\) | 3.44913 | − | 1.06392i | 0.125861 | − | 0.0388229i | −0.231185 | − | 0.972910i | \(-0.574260\pi\) |
0.357046 | + | 0.934087i | \(0.383784\pi\) | |||||||
\(752\) | 4.43738 | + | 11.3063i | 0.161815 | + | 0.412297i | ||||
\(753\) | −20.3339 | + | 35.2193i | −0.741008 | + | 1.28346i | ||||
\(754\) | −4.70643 | − | 8.15177i | −0.171398 | − | 0.296870i | ||||
\(755\) | 11.4202 | − | 14.3204i | 0.415622 | − | 0.521174i | ||||
\(756\) | −4.06748 | − | 9.02506i | −0.147933 | − | 0.328238i | ||||
\(757\) | −6.57798 | − | 8.24853i | −0.239081 | − | 0.299798i | 0.647787 | − | 0.761822i | \(-0.275695\pi\) |
−0.886867 | + | 0.462024i | \(0.847123\pi\) | |||||||
\(758\) | 13.0845 | − | 33.3386i | 0.475249 | − | 1.21091i | ||||
\(759\) | −2.66223 | + | 35.5250i | −0.0966328 | + | 1.28948i | ||||
\(760\) | 0.0756126 | − | 1.00898i | 0.00274276 | − | 0.0365996i | ||||
\(761\) | 2.61759 | − | 6.66950i | 0.0948874 | − | 0.241769i | −0.875548 | − | 0.483132i | \(-0.839499\pi\) |
0.970435 | + | 0.241363i | \(0.0775944\pi\) | |||||||
\(762\) | −2.82167 | − | 3.53826i | −0.102218 | − | 0.128178i | ||||
\(763\) | 15.8458 | − | 3.19603i | 0.573655 | − | 0.115704i | ||||
\(764\) | −1.18997 | + | 1.49217i | −0.0430515 | + | 0.0539849i | ||||
\(765\) | 1.50257 | + | 2.60254i | 0.0543257 | + | 0.0940949i | ||||
\(766\) | 7.58412 | − | 13.1361i | 0.274025 | − | 0.474626i | ||||
\(767\) | −1.72770 | − | 4.40210i | −0.0623836 | − | 0.158951i | ||||
\(768\) | 1.95066 | − | 0.601698i | 0.0703883 | − | 0.0217119i | ||||
\(769\) | −34.9092 | + | 16.8114i | −1.25886 | + | 0.606233i | −0.939872 | − | 0.341527i | \(-0.889056\pi\) |
−0.318984 | + | 0.947760i | \(0.603342\pi\) | |||||||
\(770\) | 8.22477 | + | 5.03103i | 0.296400 | + | 0.181306i | ||||
\(771\) | 35.1138 | + | 16.9099i | 1.26459 | + | 0.608995i | ||||
\(772\) | 6.11409 | + | 0.921551i | 0.220051 | + | 0.0331673i | ||||
\(773\) | −41.2797 | + | 28.1440i | −1.48473 | + | 1.01227i | −0.495064 | + | 0.868857i | \(0.664855\pi\) |
−0.989663 | + | 0.143413i | \(0.954192\pi\) | |||||||
\(774\) | −7.71705 | − | 7.16037i | −0.277384 | − | 0.257374i | ||||
\(775\) | −22.9477 | − | 15.6455i | −0.824305 | − | 0.562001i | ||||
\(776\) | −2.19437 | − | 9.61416i | −0.0787733 | − | 0.345128i | ||||
\(777\) | −13.2158 | − | 14.9886i | −0.474115 | − | 0.537714i | ||||
\(778\) | 5.37090 | − | 23.5314i | 0.192556 | − | 0.843643i | ||||
\(779\) | 3.23058 | − | 2.99754i | 0.115748 | − | 0.107398i | ||||
\(780\) | 2.37280 | − | 0.357642i | 0.0849599 | − | 0.0128056i | ||||
\(781\) | 15.9870 | + | 4.93133i | 0.572059 | + | 0.176457i | ||||
\(782\) | 0.921492 | + | 12.2965i | 0.0329525 | + | 0.439720i | ||||
\(783\) | −39.1597 | −1.39945 | ||||||||
\(784\) | 6.14460 | + | 3.35319i | 0.219450 | + | 0.119757i | ||||
\(785\) | −3.97145 | −0.141747 | ||||||||
\(786\) | 0.614821 | + | 8.20422i | 0.0219299 | + | 0.292635i | ||||
\(787\) | 19.6095 | + | 6.04872i | 0.699002 | + | 0.215614i | 0.623833 | − | 0.781557i | \(-0.285574\pi\) |
0.0751685 | + | 0.997171i | \(0.476051\pi\) | |||||||
\(788\) | −1.16571 | + | 0.175702i | −0.0415266 | + | 0.00625912i | ||||
\(789\) | −12.5061 | + | 11.6040i | −0.445230 | + | 0.413113i | ||||
\(790\) | 4.03886 | − | 17.6954i | 0.143696 | − | 0.629575i | ||||
\(791\) | −33.5829 | + | 1.66124i | −1.19407 | + | 0.0590668i | ||||
\(792\) | 0.724085 | + | 3.17242i | 0.0257292 | + | 0.112727i | ||||
\(793\) | 9.14528 | + | 6.23515i | 0.324759 | + | 0.221417i | ||||
\(794\) | −28.0957 | − | 26.0690i | −0.997079 | − | 0.925154i | ||||
\(795\) | 15.3304 | − | 10.4521i | 0.543712 | − | 0.370696i | ||||
\(796\) | 25.0594 | + | 3.77709i | 0.888206 | + | 0.133875i | ||||
\(797\) | −39.4794 | − | 19.0123i | −1.39843 | − | 0.673449i | −0.425588 | − | 0.904917i | \(-0.639933\pi\) |
−0.972842 | + | 0.231468i | \(0.925647\pi\) | |||||||
\(798\) | 4.16004 | + | 0.418124i | 0.147264 | + | 0.0148014i | ||||
\(799\) | −21.5581 | + | 10.3818i | −0.762671 | + | 0.367283i | ||||
\(800\) | −3.14544 | + | 0.970240i | −0.111208 | + | 0.0343032i | ||||
\(801\) | 1.25415 | + | 3.19553i | 0.0443134 | + | 0.112909i | ||||
\(802\) | −4.12282 | + | 7.14094i | −0.145582 | + | 0.252155i | ||||
\(803\) | 0.0443129 | + | 0.0767522i | 0.00156377 | + | 0.00270853i | ||||
\(804\) | −1.87041 | + | 2.34543i | −0.0659644 | + | 0.0827168i | ||||
\(805\) | −0.549147 | + | 21.6380i | −0.0193549 | + | 0.762638i | ||||
\(806\) | 4.73132 | + | 5.93289i | 0.166654 | + | 0.208977i | ||||
\(807\) | −1.80372 | + | 4.59580i | −0.0634940 | + | 0.161780i | ||||
\(808\) | −0.439559 | + | 5.86550i | −0.0154636 | + | 0.206348i | ||||
\(809\) | 1.37442 | − | 18.3404i | 0.0483221 | − | 0.644814i | −0.919486 | − | 0.393123i | \(-0.871395\pi\) |
0.967808 | − | 0.251690i | \(-0.0809864\pi\) | |||||||
\(810\) | 5.31907 | − | 13.5528i | 0.186893 | − | 0.476196i | ||||
\(811\) | −29.3696 | − | 36.8283i | −1.03131 | − | 1.29322i | −0.955151 | − | 0.296120i | \(-0.904307\pi\) |
−0.0761551 | − | 0.997096i | \(-0.524264\pi\) | |||||||
\(812\) | 22.0804 | − | 16.7100i | 0.774871 | − | 0.586406i | ||||
\(813\) | −13.4788 | + | 16.9019i | −0.472721 | + | 0.592774i | ||||
\(814\) | −5.15790 | − | 8.93374i | −0.180784 | − | 0.313127i | ||||
\(815\) | 5.52625 | − | 9.57175i | 0.193576 | − | 0.335284i | ||||
\(816\) | 1.46923 | + | 3.74353i | 0.0514332 | + | 0.131050i | ||||
\(817\) | −6.67246 | + | 2.05818i | −0.233440 | + | 0.0720066i | ||||
\(818\) | −8.30623 | + | 4.00007i | −0.290420 | + | 0.139859i | ||||
\(819\) | 0.344105 | + | 2.75573i | 0.0120240 | + | 0.0962928i | ||||
\(820\) | 6.70388 | + | 3.22842i | 0.234110 | + | 0.112741i | ||||
\(821\) | −28.3588 | − | 4.27441i | −0.989730 | − | 0.149178i | −0.365830 | − | 0.930682i | \(-0.619215\pi\) |
−0.623900 | + | 0.781504i | \(0.714453\pi\) | |||||||
\(822\) | 3.72021 | − | 2.53640i | 0.129757 | − | 0.0884669i | ||||
\(823\) | −9.80982 | − | 9.10218i | −0.341949 | − | 0.317282i | 0.490439 | − | 0.871475i | \(-0.336836\pi\) |
−0.832388 | + | 0.554193i | \(0.813027\pi\) | |||||||
\(824\) | −15.0786 | − | 10.2804i | −0.525288 | − | 0.358136i | ||||
\(825\) | −4.16885 | − | 18.2649i | −0.145141 | − | 0.635902i | ||||
\(826\) | 12.2205 | − | 6.64795i | 0.425205 | − | 0.231312i | ||||
\(827\) | 5.62773 | − | 24.6567i | 0.195695 | − | 0.857398i | −0.777767 | − | 0.628552i | \(-0.783648\pi\) |
0.973463 | − | 0.228846i | \(-0.0734951\pi\) | |||||||
\(828\) | −5.35508 | + | 4.96879i | −0.186102 | + | 0.172677i | ||||
\(829\) | 8.45919 | − | 1.27502i | 0.293800 | − | 0.0442832i | −0.000488539 | − | 1.00000i | \(-0.500156\pi\) |
0.294288 | + | 0.955717i | \(0.404917\pi\) | |||||||
\(830\) | −12.8460 | − | 3.96247i | −0.445891 | − | 0.137539i | ||||
\(831\) | 3.14853 | + | 42.0142i | 0.109221 | + | 1.45745i | ||||
\(832\) | 0.899369 | 0.0311800 | ||||||||
\(833\) | −5.68280 | + | 12.5649i | −0.196897 | + | 0.435347i | ||||
\(834\) | −21.2947 | −0.737375 | ||||||||
\(835\) | −1.01538 | − | 13.5494i | −0.0351388 | − | 0.468895i | ||||
\(836\) | 2.06247 | + | 0.636188i | 0.0713321 | + | 0.0220030i | ||||
\(837\) | 31.2171 | − | 4.70522i | 1.07902 | − | 0.162636i | ||||
\(838\) | 6.67334 | − | 6.19196i | 0.230527 | − | 0.213898i | ||||
\(839\) | 2.46700 | − | 10.8086i | 0.0851702 | − | 0.373155i | −0.914323 | − | 0.404986i | \(-0.867277\pi\) |
0.999493 | + | 0.0318306i | \(0.0101337\pi\) | |||||||
\(840\) | 1.90890 | + | 6.79612i | 0.0658634 | + | 0.234488i | ||||
\(841\) | −17.9215 | − | 78.5192i | −0.617983 | − | 2.70756i | ||||
\(842\) | −7.31835 | − | 4.98957i | −0.252207 | − | 0.171952i | ||||
\(843\) | −15.8953 | − | 14.7487i | −0.547463 | − | 0.507972i | ||||
\(844\) | 2.40374 | − | 1.63884i | 0.0827401 | − | 0.0564112i | ||||
\(845\) | −15.7562 | − | 2.37486i | −0.542029 | − | 0.0816977i | ||||
\(846\) | −12.7716 | − | 6.15049i | −0.439098 | − | 0.211458i | ||||
\(847\) | 5.96308 | − | 6.10826i | 0.204894 | − | 0.209882i | ||||
\(848\) | 6.26549 | − | 3.01730i | 0.215158 | − | 0.103615i | ||||
\(849\) | 48.1554 | − | 14.8540i | 1.65269 | − | 0.509787i | ||||
\(850\) | −2.36913 | − | 6.03645i | −0.0812606 | − | 0.207049i | ||||
\(851\) | 11.5794 | − | 20.0561i | 0.396936 | − | 0.687514i | ||||
\(852\) | 6.12462 | + | 10.6082i | 0.209826 | + | 0.363429i | ||||
\(853\) | 28.5086 | − | 35.7487i | 0.976118 | − | 1.22401i | 0.00153161 | − | 0.999999i | \(-0.499512\pi\) |
0.974586 | − | 0.224014i | \(-0.0719161\pi\) | |||||||
\(854\) | −14.8676 | + | 28.9689i | −0.508759 | + | 0.991295i | ||||
\(855\) | 0.736269 | + | 0.923252i | 0.0251799 | + | 0.0315746i | ||||
\(856\) | −3.04174 | + | 7.75022i | −0.103964 | + | 0.264897i | ||||
\(857\) | −0.155888 | + | 2.08018i | −0.00532502 | + | 0.0710575i | −0.999233 | − | 0.0391539i | \(-0.987534\pi\) |
0.993908 | + | 0.110211i | \(0.0351528\pi\) | |||||||
\(858\) | −0.382526 | + | 5.10445i | −0.0130592 | + | 0.174263i | ||||
\(859\) | 7.18902 | − | 18.3173i | 0.245286 | − | 0.624979i | −0.754213 | − | 0.656630i | \(-0.771981\pi\) |
0.999499 | + | 0.0316512i | \(0.0100766\pi\) | |||||||
\(860\) | −7.35058 | − | 9.21734i | −0.250653 | − | 0.314309i | ||||
\(861\) | −14.0390 | + | 27.3544i | −0.478448 | + | 0.932236i | ||||
\(862\) | 7.05178 | − | 8.84266i | 0.240185 | − | 0.301182i | ||||
\(863\) | 7.30885 | + | 12.6593i | 0.248796 | + | 0.430928i | 0.963192 | − | 0.268814i | \(-0.0866317\pi\) |
−0.714396 | + | 0.699742i | \(0.753298\pi\) | |||||||
\(864\) | 1.87079 | − | 3.24031i | 0.0636456 | − | 0.110237i | ||||
\(865\) | −0.281015 | − | 0.716013i | −0.00955478 | − | 0.0243452i | ||||
\(866\) | −21.4173 | + | 6.60635i | −0.727788 | + | 0.224493i | ||||
\(867\) | 24.1283 | − | 11.6196i | 0.819440 | − | 0.394622i | ||||
\(868\) | −15.5942 | + | 15.9739i | −0.529301 | + | 0.542188i | ||||
\(869\) | 34.8838 | + | 16.7991i | 1.18335 | + | 0.569872i | ||||
\(870\) | 27.6126 | + | 4.16193i | 0.936154 | + | 0.141102i | ||||
\(871\) | −1.09203 | + | 0.744534i | −0.0370021 | + | 0.0252276i | ||||
\(872\) | 4.47876 | + | 4.15568i | 0.151670 | + | 0.140729i | ||||
\(873\) | 9.50940 | + | 6.48340i | 0.321844 | + | 0.219430i | ||||
\(874\) | 1.07822 | + | 4.72400i | 0.0364714 | + | 0.159792i | ||||
\(875\) | −7.75371 | − | 27.6049i | −0.262123 | − | 0.933217i | ||||
\(876\) | −0.0144390 | + | 0.0632615i | −0.000487850 | + | 0.00213741i | ||||
\(877\) | −15.1681 | + | 14.0739i | −0.512189 | + | 0.475242i | −0.893410 | − | 0.449242i | \(-0.851694\pi\) |
0.381221 | + | 0.924484i | \(0.375504\pi\) | |||||||
\(878\) | −12.0385 | + | 1.81451i | −0.406280 | + | 0.0612368i | ||||
\(879\) | −21.2909 | − | 6.56739i | −0.718126 | − | 0.221512i | ||||
\(880\) | 0.272327 | + | 3.63395i | 0.00918013 | + | 0.122500i | ||||
\(881\) | 9.01313 | 0.303660 | 0.151830 | − | 0.988407i | \(-0.451483\pi\) | ||||
0.151830 | + | 0.988407i | \(0.451483\pi\) | |||||||
\(882\) | −7.91885 | + | 2.00897i | −0.266642 | + | 0.0676454i | ||||
\(883\) | −7.70553 | −0.259312 | −0.129656 | − | 0.991559i | \(-0.541387\pi\) | ||||
−0.129656 | + | 0.991559i | \(0.541387\pi\) | |||||||
\(884\) | 0.132406 | + | 1.76683i | 0.00445328 | + | 0.0594249i | ||||
\(885\) | 13.4059 | + | 4.13518i | 0.450635 | + | 0.139003i | ||||
\(886\) | −15.2811 | + | 2.30326i | −0.513379 | + | 0.0773794i | ||||
\(887\) | 7.17257 | − | 6.65517i | 0.240831 | − | 0.223459i | −0.550518 | − | 0.834824i | \(-0.685570\pi\) |
0.791349 | + | 0.611365i | \(0.209379\pi\) | |||||||
\(888\) | 1.68066 | − | 7.36346i | 0.0563993 | − | 0.247102i | ||||
\(889\) | 5.15249 | − | 2.80296i | 0.172809 | − | 0.0940081i | ||||
\(890\) | 0.855459 | + | 3.74801i | 0.0286750 | + | 0.125634i | ||||
\(891\) | 25.6607 | + | 17.4952i | 0.859666 | + | 0.586111i | ||||
\(892\) | −5.60297 | − | 5.19879i | −0.187601 | − | 0.174068i | ||||
\(893\) | −7.76869 | + | 5.29660i | −0.259969 | + | 0.177244i | ||||
\(894\) | −6.64799 | − | 1.00202i | −0.222342 | − | 0.0335127i | ||||
\(895\) | −12.0992 | − | 5.82665i | −0.404430 | − | 0.194763i | ||||
\(896\) | 0.327827 | + | 2.62536i | 0.0109519 | + | 0.0877072i | ||||
\(897\) | −10.3535 | + | 4.98599i | −0.345694 | + | 0.166477i | ||||
\(898\) | 30.1801 | − | 9.30934i | 1.00712 | − | 0.310657i | ||||
\(899\) | 32.2624 | + | 82.2033i | 1.07601 | + | 2.74163i | ||||
\(900\) | 1.92086 | − | 3.32703i | 0.0640288 | − | 0.110901i | ||||
\(901\) | 6.84997 | + | 11.8645i | 0.228205 | + | 0.395263i | ||||
\(902\) | −9.89626 | + | 12.4095i | −0.329510 | + | 0.413192i | ||||
\(903\) | 38.8463 | − | 29.3980i | 1.29272 | − | 0.978304i | ||||
\(904\) | −7.92373 | − | 9.93604i | −0.263539 | − | 0.330468i | ||||
\(905\) | −4.18335 | + | 10.6590i | −0.139059 | + | 0.354317i | ||||
\(906\) | −2.13782 | + | 28.5272i | −0.0710243 | + | 0.947753i | ||||
\(907\) | −0.860141 | + | 11.4778i | −0.0285605 | + | 0.381114i | 0.964547 | + | 0.263910i | \(0.0850121\pi\) |
−0.993108 | + | 0.117204i | \(0.962607\pi\) | |||||||
\(908\) | 0.972629 | − | 2.47822i | 0.0322778 | − | 0.0822426i | ||||
\(909\) | −4.28015 | − | 5.36714i | −0.141964 | − | 0.178017i | ||||
\(910\) | −0.0789048 | + | 3.10908i | −0.00261567 | + | 0.103065i | ||||
\(911\) | 18.6532 | − | 23.3904i | 0.618009 | − | 0.774958i | −0.370054 | − | 0.929010i | \(-0.620661\pi\) |
0.988063 | + | 0.154052i | \(0.0492323\pi\) | |||||||
\(912\) | 0.790135 | + | 1.36855i | 0.0261640 | + | 0.0453173i | ||||
\(913\) | 14.3384 | − | 24.8348i | 0.474531 | − | 0.821911i | ||||
\(914\) | −0.340803 | − | 0.868353i | −0.0112728 | − | 0.0287226i | ||||
\(915\) | −31.3775 | + | 9.67869i | −1.03731 | + | 0.319968i | ||||
\(916\) | 6.58966 | − | 3.17341i | 0.217729 | − | 0.104853i | ||||
\(917\) | −10.6097 | − | 1.06638i | −0.350363 | − | 0.0352148i | ||||
\(918\) | 6.64107 | + | 3.19817i | 0.219188 | + | 0.105555i | ||||
\(919\) | 26.9527 | + | 4.06247i | 0.889089 | + | 0.134009i | 0.577676 | − | 0.816266i | \(-0.303960\pi\) |
0.311413 | + | 0.950275i | \(0.399198\pi\) | |||||||
\(920\) | −6.75947 | + | 4.60853i | −0.222853 | + | 0.151939i | ||||
\(921\) | −19.0459 | − | 17.6720i | −0.627584 | − | 0.582313i | ||||
\(922\) | 16.6400 | + | 11.3450i | 0.548010 | + | 0.373627i | ||||
\(923\) | 1.20088 | + | 5.26142i | 0.0395276 | + | 0.173182i | ||||
\(924\) | −15.0399 | + | 0.743975i | −0.494777 | + | 0.0244750i | ||||
\(925\) | −2.71007 | + | 11.8736i | −0.0891067 | + | 0.390402i | ||||
\(926\) | 3.37446 | − | 3.13104i | 0.110892 | − | 0.102892i | ||||
\(927\) | 21.0614 | − | 3.17449i | 0.691746 | − | 0.104264i | ||||
\(928\) | 10.0011 | + | 3.08493i | 0.328302 | + | 0.101268i | ||||
\(929\) | −2.75547 | − | 36.7691i | −0.0904039 | − | 1.20636i | −0.839300 | − | 0.543669i | \(-0.817035\pi\) |
0.748896 | − | 0.662687i | \(-0.230584\pi\) | |||||||
\(930\) | −22.5121 | −0.738202 | ||||||||
\(931\) | −1.47225 | + | 5.21508i | −0.0482511 | + | 0.170917i | ||||
\(932\) | −22.3712 | −0.732794 | ||||||||
\(933\) | −0.597483 | − | 7.97286i | −0.0195607 | − | 0.261020i | ||||
\(934\) | −16.5628 | − | 5.10894i | −0.541951 | − | 0.167170i | ||||
\(935\) | −7.09888 | + | 1.06998i | −0.232158 | + | 0.0349922i | ||||
\(936\) | −0.769452 | + | 0.713947i | −0.0251503 | + | 0.0233361i | ||||
\(937\) | 9.07808 | − | 39.7737i | 0.296568 | − | 1.29935i | −0.578633 | − | 0.815588i | \(-0.696414\pi\) |
0.875201 | − | 0.483760i | \(-0.160729\pi\) | |||||||
\(938\) | −2.57144 | − | 2.91638i | −0.0839603 | − | 0.0952231i | ||||
\(939\) | −7.27802 | − | 31.8871i | −0.237509 | − | 1.04060i | ||||
\(940\) | −13.1165 | − | 8.94268i | −0.427813 | − | 0.291678i | ||||
\(941\) | −33.6083 | − | 31.1839i | −1.09560 | − | 1.01657i | −0.999776 | − | 0.0211684i | \(-0.993261\pi\) |
−0.0958226 | − | 0.995398i | \(-0.530548\pi\) | |||||||
\(942\) | 5.12492 | − | 3.49411i | 0.166979 | − | 0.113844i | ||||
\(943\) | −35.2352 | − | 5.31085i | −1.14742 | − | 0.172945i | ||||
\(944\) | 4.73741 | + | 2.28142i | 0.154190 | + | 0.0742538i | ||||
\(945\) | 11.0375 | + | 6.75153i | 0.359049 | + | 0.219627i | ||||
\(946\) | 22.6583 | − | 10.9117i | 0.736686 | − | 0.354769i | ||||
\(947\) | 24.1913 | − | 7.46202i | 0.786111 | − | 0.242483i | 0.124390 | − | 0.992233i | \(-0.460303\pi\) |
0.661721 | + | 0.749750i | \(0.269826\pi\) | |||||||
\(948\) | 10.3566 | + | 26.3883i | 0.336368 | + | 0.857052i | ||||
\(949\) | −0.0142941 | + | 0.0247582i | −0.000464008 | + | 0.000803685i | ||||
\(950\) | −1.27410 | − | 2.20680i | −0.0413371 | − | 0.0715980i | ||||
\(951\) | −44.5024 | + | 55.8043i | −1.44309 | + | 1.80958i | ||||
\(952\) | −5.10932 | + | 1.03053i | −0.165594 | + | 0.0333997i | ||||
\(953\) | −22.7416 | − | 28.5171i | −0.736673 | − | 0.923759i | 0.262479 | − | 0.964938i | \(-0.415460\pi\) |
−0.999152 | + | 0.0411790i | \(0.986889\pi\) | |||||||
\(954\) | −2.96519 | + | 7.55518i | −0.0960015 | + | 0.244608i | ||||
\(955\) | 0.186417 | − | 2.48756i | 0.00603232 | − | 0.0804957i | ||||
\(956\) | −2.13329 | + | 28.4668i | −0.0689957 | + | 0.920683i | ||||
\(957\) | −21.7625 | + | 55.4500i | −0.703482 | + | 1.79244i | ||||
\(958\) | −17.7162 | − | 22.2154i | −0.572385 | − | 0.717749i | ||||
\(959\) | 2.39781 | + | 5.32034i | 0.0774294 | + | 0.171803i | ||||
\(960\) | −1.66353 | + | 2.08600i | −0.0536902 | + | 0.0673254i | ||||
\(961\) | −20.0960 | − | 34.8072i | −0.648257 | − | 1.12281i | ||||
\(962\) | 1.66380 | − | 2.88178i | 0.0536430 | − | 0.0929124i | ||||
\(963\) | −3.55002 | − | 9.04529i | −0.114398 | − | 0.291481i | ||||
\(964\) | 22.6462 | − | 6.98544i | 0.729386 | − | 0.224986i | ||||
\(965\) | −7.28122 | + | 3.50645i | −0.234391 | + | 0.112877i | ||||
\(966\) | −18.3286 | − | 28.4057i | −0.589714 | − | 0.913938i | ||||
\(967\) | 17.3723 | + | 8.36604i | 0.558654 | + | 0.269034i | 0.691832 | − | 0.722059i | \(-0.256804\pi\) |
−0.133178 | + | 0.991092i | \(0.542518\pi\) | |||||||
\(968\) | 3.19040 | + | 0.480875i | 0.102543 | + | 0.0154559i | ||||
\(969\) | −2.57223 | + | 1.75372i | −0.0826319 | + | 0.0563375i | ||||
\(970\) | 9.44840 | + | 8.76683i | 0.303370 | + | 0.281486i | ||||
\(971\) | 0.413401 | + | 0.281852i | 0.0132667 | + | 0.00904506i | 0.569935 | − | 0.821690i | \(-0.306968\pi\) |
−0.556669 | + | 0.830735i | \(0.687921\pi\) | |||||||
\(972\) | 2.56215 | + | 11.2255i | 0.0821809 | + | 0.360058i | ||||
\(973\) | 4.80459 | − | 27.1782i | 0.154028 | − | 0.871294i | ||||
\(974\) | −1.52338 | + | 6.67435i | −0.0488121 | + | 0.213860i | ||||
\(975\) | 4.43004 | − | 4.11048i | 0.141875 | − | 0.131641i | ||||
\(976\) | −12.1696 | + | 1.83427i | −0.389539 | + | 0.0587135i | ||||
\(977\) | 55.2462 | + | 17.0412i | 1.76748 | + | 0.545196i | 0.995861 | − | 0.0908860i | \(-0.0289699\pi\) |
0.771621 | + | 0.636082i | \(0.219446\pi\) | |||||||
\(978\) | 1.29000 | + | 17.2138i | 0.0412496 | + | 0.550437i | ||||
\(979\) | −8.20076 | −0.262097 | ||||||||
\(980\) | −9.10452 | + | 0.902951i | −0.290833 | + | 0.0288437i | ||||
\(981\) | −7.13069 | −0.227665 | ||||||||
\(982\) | 0.154692 | + | 2.06422i | 0.00493642 | + | 0.0658720i | ||||
\(983\) | −9.11468 | − | 2.81150i | −0.290713 | − | 0.0896731i | 0.145969 | − | 0.989289i | \(-0.453370\pi\) |
−0.436682 | + | 0.899616i | \(0.643846\pi\) | |||||||
\(984\) | −11.4913 | + | 1.73204i | −0.366331 | + | 0.0552155i | ||||
\(985\) | 1.12950 | − | 1.04802i | 0.0359889 | − | 0.0333928i | ||||
\(986\) | −4.58804 | + | 20.1015i | −0.146113 | + | 0.640163i | ||||
\(987\) | 38.3162 | − | 53.2451i | 1.21962 | − | 1.69481i | ||||
\(988\) | 0.154926 | + | 0.678773i | 0.00492884 | + | 0.0215947i | ||||
\(989\) | 46.6484 | + | 31.8043i | 1.48333 | + | 1.01132i | ||||
\(990\) | −3.11773 | − | 2.89283i | −0.0990878 | − | 0.0919401i | ||||
\(991\) | −29.9345 | + | 20.4090i | −0.950900 | + | 0.648312i | −0.936158 | − | 0.351579i | \(-0.885645\pi\) |
−0.0147413 | + | 0.999891i | \(0.504692\pi\) | |||||||
\(992\) | −8.34329 | − | 1.25755i | −0.264900 | − | 0.0399272i | ||||
\(993\) | 60.2272 | + | 29.0039i | 1.91125 | + | 0.920411i | ||||
\(994\) | −14.9210 | + | 5.42335i | −0.473264 | + | 0.172018i | ||||
\(995\) | −29.8430 | + | 14.3716i | −0.946086 | + | 0.455611i | ||||
\(996\) | 20.0632 | − | 6.18868i | 0.635727 | − | 0.196096i | ||||
\(997\) | 7.51602 | + | 19.1505i | 0.238035 | + | 0.606502i | 0.999111 | − | 0.0421600i | \(-0.0134239\pi\) |
−0.761076 | + | 0.648662i | \(0.775329\pi\) | |||||||
\(998\) | −17.4991 | + | 30.3094i | −0.553926 | + | 0.959427i | ||||
\(999\) | −6.92179 | − | 11.9889i | −0.218996 | − | 0.379311i |
(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 | 98.2.g.b.81.2 | yes | 24 | |
3.2 | odd | 2 | 882.2.z.b.865.1 | 24 | |||
4.3 | odd | 2 | 784.2.bg.b.81.1 | 24 | |||
7.2 | even | 3 | 686.2.g.f.373.1 | 24 | |||
7.3 | odd | 6 | 686.2.e.d.197.3 | 24 | |||
7.4 | even | 3 | 686.2.e.c.197.2 | 24 | |||
7.5 | odd | 6 | 686.2.g.d.373.2 | 24 | |||
7.6 | odd | 2 | 686.2.g.e.459.1 | 24 | |||
49.4 | even | 21 | 686.2.e.c.491.2 | 24 | |||
49.11 | even | 21 | 4802.2.a.o.1.9 | 12 | |||
49.22 | even | 7 | 686.2.g.f.263.1 | 24 | |||
49.23 | even | 21 | inner | 98.2.g.b.23.2 | ✓ | 24 | |
49.26 | odd | 42 | 686.2.g.e.275.1 | 24 | |||
49.27 | odd | 14 | 686.2.g.d.263.2 | 24 | |||
49.38 | odd | 42 | 4802.2.a.l.1.4 | 12 | |||
49.45 | odd | 42 | 686.2.e.d.491.3 | 24 | |||
147.23 | odd | 42 | 882.2.z.b.415.1 | 24 | |||
196.23 | odd | 42 | 784.2.bg.b.513.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.g.b.23.2 | ✓ | 24 | 49.23 | even | 21 | inner | |
98.2.g.b.81.2 | yes | 24 | 1.1 | even | 1 | trivial | |
686.2.e.c.197.2 | 24 | 7.4 | even | 3 | |||
686.2.e.c.491.2 | 24 | 49.4 | even | 21 | |||
686.2.e.d.197.3 | 24 | 7.3 | odd | 6 | |||
686.2.e.d.491.3 | 24 | 49.45 | odd | 42 | |||
686.2.g.d.263.2 | 24 | 49.27 | odd | 14 | |||
686.2.g.d.373.2 | 24 | 7.5 | odd | 6 | |||
686.2.g.e.275.1 | 24 | 49.26 | odd | 42 | |||
686.2.g.e.459.1 | 24 | 7.6 | odd | 2 | |||
686.2.g.f.263.1 | 24 | 49.22 | even | 7 | |||
686.2.g.f.373.1 | 24 | 7.2 | even | 3 | |||
784.2.bg.b.81.1 | 24 | 4.3 | odd | 2 | |||
784.2.bg.b.513.1 | 24 | 196.23 | odd | 42 | |||
882.2.z.b.415.1 | 24 | 147.23 | odd | 42 | |||
882.2.z.b.865.1 | 24 | 3.2 | odd | 2 | |||
4802.2.a.l.1.4 | 12 | 49.38 | odd | 42 | |||
4802.2.a.o.1.9 | 12 | 49.11 | even | 21 |