Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 71.1 | ||
Character | \(\chi\) | \(=\) | 322.71 |
Dual form | 322.2.i.d.127.1 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | + | 0.540641i | 0.594856 | + | 0.382291i | ||||
\(3\) | −0.473601 | − | 3.29397i | −0.273434 | − | 1.90177i | −0.411601 | − | 0.911364i | \(-0.635030\pi\) |
0.138167 | − | 0.990409i | \(-0.455879\pi\) | |||||||
\(4\) | 0.415415 | + | 0.909632i | 0.207708 | + | 0.454816i | ||||
\(5\) | −2.68725 | − | 0.789049i | −1.20178 | − | 0.352873i | −0.381244 | − | 0.924474i | \(-0.624504\pi\) |
−0.820532 | + | 0.571601i | \(0.806323\pi\) | |||||||
\(6\) | 1.38243 | − | 3.02711i | 0.564377 | − | 1.23581i | ||||
\(7\) | 0.654861 | − | 0.755750i | 0.247514 | − | 0.285646i | ||||
\(8\) | −0.142315 | + | 0.989821i | −0.0503159 | + | 0.349955i | ||||
\(9\) | −7.74745 | + | 2.27486i | −2.58248 | + | 0.758285i | ||||
\(10\) | −1.83407 | − | 2.11663i | −0.579984 | − | 0.669337i | ||||
\(11\) | 2.03893 | − | 1.31034i | 0.614760 | − | 0.395082i | −0.195879 | − | 0.980628i | \(-0.562756\pi\) |
0.810640 | + | 0.585546i | \(0.199120\pi\) | |||||||
\(12\) | 2.79956 | − | 1.79917i | 0.808163 | − | 0.519375i | ||||
\(13\) | −1.56505 | − | 1.80616i | −0.434067 | − | 0.500940i | 0.496004 | − | 0.868320i | \(-0.334800\pi\) |
−0.930071 | + | 0.367381i | \(0.880255\pi\) | |||||||
\(14\) | 0.959493 | − | 0.281733i | 0.256435 | − | 0.0752962i | ||||
\(15\) | −1.32642 | + | 9.22542i | −0.342479 | + | 2.38199i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −1.04126 | + | 2.28005i | −0.252543 | + | 0.552992i | −0.992863 | − | 0.119263i | \(-0.961947\pi\) |
0.740320 | + | 0.672255i | \(0.234674\pi\) | |||||||
\(18\) | −7.74745 | − | 2.27486i | −1.82609 | − | 0.536189i | ||||
\(19\) | −2.73211 | − | 5.98248i | −0.626789 | − | 1.37248i | −0.910477 | − | 0.413559i | \(-0.864285\pi\) |
0.283688 | − | 0.958917i | \(-0.408442\pi\) | |||||||
\(20\) | −0.398581 | − | 2.77219i | −0.0891255 | − | 0.619881i | ||||
\(21\) | −2.79956 | − | 1.79917i | −0.610914 | − | 0.392610i | ||||
\(22\) | 2.42368 | 0.516730 | ||||||||
\(23\) | 4.38057 | + | 1.95208i | 0.913412 | + | 0.407037i | ||||
\(24\) | 3.32784 | 0.679293 | ||||||||
\(25\) | 2.39246 | + | 1.53754i | 0.478492 | + | 0.307508i | ||||
\(26\) | −0.340118 | − | 2.36557i | −0.0667026 | − | 0.463927i | ||||
\(27\) | 7.01520 | + | 15.3611i | 1.35008 | + | 2.95625i | ||||
\(28\) | 0.959493 | + | 0.281733i | 0.181327 | + | 0.0532424i | ||||
\(29\) | 2.32836 | − | 5.09840i | 0.432366 | − | 0.946749i | −0.560571 | − | 0.828106i | \(-0.689418\pi\) |
0.992937 | − | 0.118643i | \(-0.0378544\pi\) | |||||||
\(30\) | −6.10349 | + | 7.04380i | −1.11434 | + | 1.28602i | ||||
\(31\) | 0.688945 | − | 4.79171i | 0.123738 | − | 0.860617i | −0.829524 | − | 0.558472i | \(-0.811388\pi\) |
0.953262 | − | 0.302146i | \(-0.0977029\pi\) | |||||||
\(32\) | −0.959493 | + | 0.281733i | −0.169616 | + | 0.0498038i | ||||
\(33\) | −5.28186 | − | 6.09559i | −0.919454 | − | 1.06111i | ||||
\(34\) | −2.10865 | + | 1.35515i | −0.361631 | + | 0.232406i | ||||
\(35\) | −2.35610 | + | 1.51417i | −0.398254 | + | 0.255942i | ||||
\(36\) | −5.28769 | − | 6.10232i | −0.881281 | − | 1.01705i | ||||
\(37\) | −2.54083 | + | 0.746055i | −0.417710 | + | 0.122651i | −0.483832 | − | 0.875161i | \(-0.660755\pi\) |
0.0661223 | + | 0.997812i | \(0.478937\pi\) | |||||||
\(38\) | 0.935979 | − | 6.50987i | 0.151836 | − | 1.05604i | ||||
\(39\) | −5.20824 | + | 6.01062i | −0.833985 | + | 0.962470i | ||||
\(40\) | 1.16345 | − | 2.54761i | 0.183958 | − | 0.402812i | ||||
\(41\) | 10.2748 | + | 3.01695i | 1.60465 | + | 0.471169i | 0.956836 | − | 0.290627i | \(-0.0938639\pi\) |
0.647817 | + | 0.761796i | \(0.275682\pi\) | |||||||
\(42\) | −1.38243 | − | 3.02711i | −0.213314 | − | 0.467093i | ||||
\(43\) | −0.540218 | − | 3.75730i | −0.0823824 | − | 0.572982i | −0.988645 | − | 0.150268i | \(-0.951986\pi\) |
0.906263 | − | 0.422715i | \(-0.138923\pi\) | |||||||
\(44\) | 2.03893 | + | 1.31034i | 0.307380 | + | 0.197541i | ||||
\(45\) | 22.6143 | 3.37114 | ||||||||
\(46\) | 2.62979 | + | 4.01051i | 0.387742 | + | 0.591317i | ||||
\(47\) | 4.68422 | 0.683264 | 0.341632 | − | 0.939834i | \(-0.389020\pi\) | ||||
0.341632 | + | 0.939834i | \(0.389020\pi\) | |||||||
\(48\) | 2.79956 | + | 1.79917i | 0.404081 | + | 0.259687i | ||||
\(49\) | −0.142315 | − | 0.989821i | −0.0203307 | − | 0.141403i | ||||
\(50\) | 1.18141 | + | 2.58693i | 0.167076 | + | 0.365846i | ||||
\(51\) | 8.00354 | + | 2.35005i | 1.12072 | + | 0.329073i | ||||
\(52\) | 0.992799 | − | 2.17393i | 0.137676 | − | 0.301469i | ||||
\(53\) | 9.27553 | − | 10.7045i | 1.27409 | − | 1.47038i | 0.461968 | − | 0.886897i | \(-0.347144\pi\) |
0.812125 | − | 0.583484i | \(-0.198311\pi\) | |||||||
\(54\) | −2.40330 | + | 16.7153i | −0.327048 | + | 2.27467i | ||||
\(55\) | −6.51304 | + | 1.91240i | −0.878218 | + | 0.257868i | ||||
\(56\) | 0.654861 | + | 0.755750i | 0.0875094 | + | 0.100991i | ||||
\(57\) | −18.4122 | + | 11.8328i | −2.43875 | + | 1.56729i | ||||
\(58\) | 4.71515 | − | 3.03024i | 0.619129 | − | 0.397890i | ||||
\(59\) | 7.89747 | + | 9.11417i | 1.02816 | + | 1.18656i | 0.982242 | + | 0.187618i | \(0.0600768\pi\) |
0.0459210 | + | 0.998945i | \(0.485378\pi\) | |||||||
\(60\) | −8.94275 | + | 2.62583i | −1.15450 | + | 0.338993i | ||||
\(61\) | 0.362182 | − | 2.51903i | 0.0463727 | − | 0.322529i | −0.953410 | − | 0.301678i | \(-0.902453\pi\) |
0.999783 | − | 0.0208513i | \(-0.00663765\pi\) | |||||||
\(62\) | 3.17017 | − | 3.65858i | 0.402612 | − | 0.464640i | ||||
\(63\) | −3.35428 | + | 7.34485i | −0.422599 | + | 0.925363i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | 2.78053 | + | 6.08852i | 0.344883 | + | 0.755188i | ||||
\(66\) | −1.14786 | − | 7.98352i | −0.141291 | − | 0.982704i | ||||
\(67\) | −3.50857 | − | 2.25482i | −0.428641 | − | 0.275471i | 0.308481 | − | 0.951230i | \(-0.400179\pi\) |
−0.737122 | + | 0.675760i | \(0.763816\pi\) | |||||||
\(68\) | −2.50656 | −0.303965 | ||||||||
\(69\) | 4.35546 | − | 15.3540i | 0.524335 | − | 1.84840i | ||||
\(70\) | −2.80070 | −0.334748 | ||||||||
\(71\) | −6.22677 | − | 4.00170i | −0.738981 | − | 0.474914i | 0.116211 | − | 0.993224i | \(-0.462925\pi\) |
−0.855193 | + | 0.518310i | \(0.826561\pi\) | |||||||
\(72\) | −1.14912 | − | 7.99234i | −0.135426 | − | 0.941906i | ||||
\(73\) | 1.08217 | + | 2.36963i | 0.126659 | + | 0.277345i | 0.962329 | − | 0.271887i | \(-0.0876477\pi\) |
−0.835670 | + | 0.549232i | \(0.814920\pi\) | |||||||
\(74\) | −2.54083 | − | 0.746055i | −0.295365 | − | 0.0867271i | ||||
\(75\) | 3.93154 | − | 8.60888i | 0.453975 | − | 0.994067i | ||||
\(76\) | 4.30690 | − | 4.97043i | 0.494035 | − | 0.570147i | ||||
\(77\) | 0.344926 | − | 2.39901i | 0.0393079 | − | 0.273393i | ||||
\(78\) | −7.63104 | + | 2.24067i | −0.864045 | + | 0.253706i | ||||
\(79\) | 5.38873 | + | 6.21893i | 0.606280 | + | 0.699684i | 0.973041 | − | 0.230631i | \(-0.0740789\pi\) |
−0.366761 | + | 0.930315i | \(0.619533\pi\) | |||||||
\(80\) | 2.35610 | − | 1.51417i | 0.263420 | − | 0.169290i | ||||
\(81\) | 26.8985 | − | 17.2866i | 2.98873 | − | 1.92074i | ||||
\(82\) | 7.01262 | + | 8.09300i | 0.774414 | + | 0.893722i | ||||
\(83\) | −16.2144 | + | 4.76098i | −1.77976 | + | 0.522586i | −0.995235 | − | 0.0975066i | \(-0.968913\pi\) |
−0.784529 | + | 0.620092i | \(0.787095\pi\) | |||||||
\(84\) | 0.473601 | − | 3.29397i | 0.0516741 | − | 0.359401i | ||||
\(85\) | 4.59720 | − | 5.30545i | 0.498637 | − | 0.575457i | ||||
\(86\) | 1.57689 | − | 3.45290i | 0.170040 | − | 0.372336i | ||||
\(87\) | −17.8967 | − | 5.25494i | −1.91873 | − | 0.563389i | ||||
\(88\) | 1.00683 | + | 2.20466i | 0.107329 | + | 0.235017i | ||||
\(89\) | 0.504383 | + | 3.50806i | 0.0534645 | + | 0.371854i | 0.998935 | + | 0.0461452i | \(0.0146937\pi\) |
−0.945470 | + | 0.325708i | \(0.894397\pi\) | |||||||
\(90\) | 19.0244 | + | 12.2262i | 2.00535 | + | 1.28876i | ||||
\(91\) | −2.38990 | −0.250529 | ||||||||
\(92\) | 0.0440769 | + | 4.79563i | 0.00459534 | + | 0.499979i | ||||
\(93\) | −16.1100 | −1.67053 | ||||||||
\(94\) | 3.94062 | + | 2.53248i | 0.406444 | + | 0.261206i | ||||
\(95\) | 2.62140 | + | 18.2322i | 0.268950 | + | 1.87059i | ||||
\(96\) | 1.38243 | + | 3.02711i | 0.141094 | + | 0.308953i | ||||
\(97\) | −8.20917 | − | 2.41043i | −0.833515 | − | 0.244742i | −0.162989 | − | 0.986628i | \(-0.552113\pi\) |
−0.670526 | + | 0.741886i | \(0.733932\pi\) | |||||||
\(98\) | 0.415415 | − | 0.909632i | 0.0419633 | − | 0.0918867i | ||||
\(99\) | −12.8157 | + | 14.7901i | −1.28802 | + | 1.48646i | ||||
\(100\) | −0.404733 | + | 2.81498i | −0.0404733 | + | 0.281498i | ||||
\(101\) | −4.91130 | + | 1.44209i | −0.488692 | + | 0.143493i | −0.516790 | − | 0.856112i | \(-0.672873\pi\) |
0.0280977 | + | 0.999605i | \(0.491055\pi\) | |||||||
\(102\) | 5.46247 | + | 6.30403i | 0.540866 | + | 0.624192i | ||||
\(103\) | −8.08945 | + | 5.19878i | −0.797078 | + | 0.512251i | −0.874661 | − | 0.484735i | \(-0.838916\pi\) |
0.0775834 | + | 0.996986i | \(0.475280\pi\) | |||||||
\(104\) | 2.01051 | − | 1.29208i | 0.197147 | − | 0.126698i | ||||
\(105\) | 6.10349 | + | 7.04380i | 0.595640 | + | 0.687405i | ||||
\(106\) | 13.5904 | − | 3.99050i | 1.32001 | − | 0.387591i | ||||
\(107\) | −0.492919 | + | 3.42833i | −0.0476523 | + | 0.331429i | 0.952025 | + | 0.306021i | \(0.0989977\pi\) |
−0.999677 | + | 0.0254083i | \(0.991911\pi\) | |||||||
\(108\) | −11.0588 | + | 12.7625i | −1.06413 | + | 1.22807i | ||||
\(109\) | −2.38747 | + | 5.22783i | −0.228678 | + | 0.500735i | −0.988837 | − | 0.149002i | \(-0.952394\pi\) |
0.760159 | + | 0.649737i | \(0.225121\pi\) | |||||||
\(110\) | −6.51304 | − | 1.91240i | −0.620994 | − | 0.182340i | ||||
\(111\) | 3.66082 | + | 8.01608i | 0.347470 | + | 0.760852i | ||||
\(112\) | 0.142315 | + | 0.989821i | 0.0134475 | + | 0.0935293i | ||||
\(113\) | −3.58932 | − | 2.30671i | −0.337655 | − | 0.216997i | 0.360815 | − | 0.932638i | \(-0.382499\pi\) |
−0.698469 | + | 0.715640i | \(0.746135\pi\) | |||||||
\(114\) | −21.8866 | −2.04987 | ||||||||
\(115\) | −10.2314 | − | 8.70222i | −0.954083 | − | 0.811486i | ||||
\(116\) | 5.60490 | 0.520402 | ||||||||
\(117\) | 16.2339 | + | 10.4329i | 1.50082 | + | 0.964522i | ||||
\(118\) | 1.71628 | + | 11.9370i | 0.157997 | + | 1.09889i | ||||
\(119\) | 1.04126 | + | 2.28005i | 0.0954524 | + | 0.209012i | ||||
\(120\) | −8.94275 | − | 2.62583i | −0.816358 | − | 0.239704i | ||||
\(121\) | −2.12932 | + | 4.66257i | −0.193575 | + | 0.423870i | ||||
\(122\) | 1.66658 | − | 1.92334i | 0.150885 | − | 0.174131i | ||||
\(123\) | 5.07159 | − | 35.2737i | 0.457290 | − | 3.18052i | ||||
\(124\) | 4.64490 | − | 1.36386i | 0.417124 | − | 0.122479i | ||||
\(125\) | 3.95439 | + | 4.56361i | 0.353691 | + | 0.408182i | ||||
\(126\) | −6.79272 | + | 4.36542i | −0.605144 | + | 0.388902i | ||||
\(127\) | 15.0594 | − | 9.67811i | 1.33631 | − | 0.858793i | 0.339656 | − | 0.940550i | \(-0.389689\pi\) |
0.996652 | + | 0.0817561i | \(0.0260529\pi\) | |||||||
\(128\) | −0.654861 | − | 0.755750i | −0.0578821 | − | 0.0667995i | ||||
\(129\) | −12.1206 | + | 3.55892i | −1.06716 | + | 0.313345i | ||||
\(130\) | −0.952568 | + | 6.62526i | −0.0835458 | + | 0.581074i | ||||
\(131\) | −6.95672 | + | 8.02848i | −0.607811 | + | 0.701451i | −0.973345 | − | 0.229347i | \(-0.926341\pi\) |
0.365534 | + | 0.930798i | \(0.380887\pi\) | |||||||
\(132\) | 3.35058 | − | 7.33675i | 0.291631 | − | 0.638582i | ||||
\(133\) | −6.31041 | − | 1.85290i | −0.547182 | − | 0.160667i | ||||
\(134\) | −1.73255 | − | 3.79376i | −0.149670 | − | 0.327731i | ||||
\(135\) | −6.73092 | − | 46.8146i | −0.579306 | − | 4.02916i | ||||
\(136\) | −2.10865 | − | 1.35515i | −0.180815 | − | 0.116203i | ||||
\(137\) | −6.85681 | −0.585817 | −0.292908 | − | 0.956140i | \(-0.594623\pi\) | ||||
−0.292908 | + | 0.956140i | \(0.594623\pi\) | |||||||
\(138\) | 11.9650 | − | 10.5618i | 1.01853 | − | 0.899083i | ||||
\(139\) | 16.3847 | 1.38973 | 0.694867 | − | 0.719139i | \(-0.255463\pi\) | ||||
0.694867 | + | 0.719139i | \(0.255463\pi\) | |||||||
\(140\) | −2.35610 | − | 1.51417i | −0.199127 | − | 0.127971i | ||||
\(141\) | −2.21845 | − | 15.4297i | −0.186827 | − | 1.29941i | ||||
\(142\) | −3.07481 | − | 6.73289i | −0.258032 | − | 0.565011i | ||||
\(143\) | −5.55771 | − | 1.63189i | −0.464759 | − | 0.136466i | ||||
\(144\) | 3.35428 | − | 7.34485i | 0.279523 | − | 0.612070i | ||||
\(145\) | −10.2798 | + | 11.8635i | −0.853689 | + | 0.985210i | ||||
\(146\) | −0.370737 | + | 2.57853i | −0.0306824 | + | 0.213401i | ||||
\(147\) | −3.19304 | + | 0.937561i | −0.263357 | + | 0.0773287i | ||||
\(148\) | −1.73413 | − | 2.00130i | −0.142545 | − | 0.164506i | ||||
\(149\) | 3.84794 | − | 2.47292i | 0.315236 | − | 0.202590i | −0.373449 | − | 0.927651i | \(-0.621825\pi\) |
0.688685 | + | 0.725061i | \(0.258188\pi\) | |||||||
\(150\) | 7.96173 | − | 5.11670i | 0.650073 | − | 0.417776i | ||||
\(151\) | 8.47637 | + | 9.78225i | 0.689797 | + | 0.796068i | 0.987336 | − | 0.158642i | \(-0.0507114\pi\) |
−0.297539 | + | 0.954710i | \(0.596166\pi\) | |||||||
\(152\) | 6.31041 | − | 1.85290i | 0.511842 | − | 0.150290i | ||||
\(153\) | 2.88035 | − | 20.0333i | 0.232862 | − | 1.61959i | ||||
\(154\) | 1.58717 | − | 1.83170i | 0.127898 | − | 0.147602i | ||||
\(155\) | −5.63226 | + | 12.3329i | −0.452394 | + | 0.990605i | ||||
\(156\) | −7.63104 | − | 2.24067i | −0.610972 | − | 0.179398i | ||||
\(157\) | −2.32368 | − | 5.08814i | −0.185450 | − | 0.406078i | 0.793958 | − | 0.607973i | \(-0.208017\pi\) |
−0.979407 | + | 0.201895i | \(0.935290\pi\) | |||||||
\(158\) | 1.17108 | + | 8.14507i | 0.0931664 | + | 0.647987i | ||||
\(159\) | −39.6533 | − | 25.4836i | −3.14471 | − | 2.02098i | ||||
\(160\) | 2.80070 | 0.221415 | ||||||||
\(161\) | 4.34395 | − | 2.03227i | 0.342351 | − | 0.160165i | ||||
\(162\) | 31.9744 | 2.51214 | ||||||||
\(163\) | 5.00243 | + | 3.21487i | 0.391820 | + | 0.251808i | 0.721687 | − | 0.692220i | \(-0.243367\pi\) |
−0.329866 | + | 0.944028i | \(0.607004\pi\) | |||||||
\(164\) | 1.52399 | + | 10.5996i | 0.119003 | + | 0.827687i | ||||
\(165\) | 9.38397 | + | 20.5480i | 0.730541 | + | 1.59966i | ||||
\(166\) | −16.2144 | − | 4.76098i | −1.25848 | − | 0.369524i | ||||
\(167\) | 9.69635 | − | 21.2321i | 0.750326 | − | 1.64299i | −0.0154518 | − | 0.999881i | \(-0.504919\pi\) |
0.765778 | − | 0.643105i | \(-0.222354\pi\) | |||||||
\(168\) | 2.17927 | − | 2.51501i | 0.168134 | − | 0.194038i | ||||
\(169\) | 1.03725 | − | 7.21421i | 0.0797882 | − | 0.554939i | ||||
\(170\) | 6.73576 | − | 1.97780i | 0.516609 | − | 0.151690i | ||||
\(171\) | 34.7762 | + | 40.1338i | 2.65940 | + | 3.06911i | ||||
\(172\) | 3.19334 | − | 2.05224i | 0.243490 | − | 0.156482i | ||||
\(173\) | −1.98537 | + | 1.27592i | −0.150945 | + | 0.0970065i | −0.613933 | − | 0.789358i | \(-0.710414\pi\) |
0.462988 | + | 0.886364i | \(0.346777\pi\) | |||||||
\(174\) | −12.2146 | − | 14.0964i | −0.925987 | − | 1.06865i | ||||
\(175\) | 2.72873 | − | 0.801226i | 0.206272 | − | 0.0605670i | ||||
\(176\) | −0.344926 | + | 2.39901i | −0.0259997 | + | 0.180832i | ||||
\(177\) | 26.2815 | − | 30.3305i | 1.97544 | − | 2.27978i | ||||
\(178\) | −1.47229 | + | 3.22386i | −0.110353 | + | 0.241638i | ||||
\(179\) | 13.3295 | + | 3.91388i | 0.996291 | + | 0.292537i | 0.738933 | − | 0.673779i | \(-0.235330\pi\) |
0.257358 | + | 0.966316i | \(0.417148\pi\) | |||||||
\(180\) | 9.39433 | + | 20.5707i | 0.700212 | + | 1.53325i | ||||
\(181\) | −0.666970 | − | 4.63888i | −0.0495755 | − | 0.344805i | −0.999479 | − | 0.0322632i | \(-0.989729\pi\) |
0.949904 | − | 0.312542i | \(-0.101181\pi\) | |||||||
\(182\) | −2.01051 | − | 1.29208i | −0.149029 | − | 0.0957750i | ||||
\(183\) | −8.46915 | −0.626057 | ||||||||
\(184\) | −2.55563 | + | 4.05817i | −0.188404 | + | 0.299172i | ||||
\(185\) | 7.41652 | 0.545274 | ||||||||
\(186\) | −13.5526 | − | 8.70975i | −0.993727 | − | 0.638630i | ||||
\(187\) | 0.864576 | + | 6.01326i | 0.0632241 | + | 0.439733i | ||||
\(188\) | 1.94590 | + | 4.26092i | 0.141919 | + | 0.310759i | ||||
\(189\) | 16.2032 | + | 4.75768i | 1.17861 | + | 0.346070i | ||||
\(190\) | −7.65182 | + | 16.7551i | −0.555121 | + | 1.21555i | ||||
\(191\) | −5.33339 | + | 6.15506i | −0.385911 | + | 0.445365i | −0.915153 | − | 0.403106i | \(-0.867931\pi\) |
0.529243 | + | 0.848471i | \(0.322476\pi\) | |||||||
\(192\) | −0.473601 | + | 3.29397i | −0.0341792 | + | 0.237722i | ||||
\(193\) | −1.63080 | + | 0.478847i | −0.117388 | + | 0.0344681i | −0.339899 | − | 0.940462i | \(-0.610393\pi\) |
0.222511 | + | 0.974930i | \(0.428575\pi\) | |||||||
\(194\) | −5.60282 | − | 6.46600i | −0.402259 | − | 0.464232i | ||||
\(195\) | 18.7385 | − | 12.0425i | 1.34189 | − | 0.862383i | ||||
\(196\) | 0.841254 | − | 0.540641i | 0.0600895 | − | 0.0386172i | ||||
\(197\) | 2.48513 | + | 2.86799i | 0.177058 | + | 0.204336i | 0.837341 | − | 0.546681i | \(-0.184109\pi\) |
−0.660283 | + | 0.751017i | \(0.729564\pi\) | |||||||
\(198\) | −18.7773 | + | 5.51352i | −1.33445 | + | 0.391829i | ||||
\(199\) | 3.12374 | − | 21.7261i | 0.221436 | − | 1.54012i | −0.511177 | − | 0.859475i | \(-0.670790\pi\) |
0.732613 | − | 0.680645i | \(-0.238301\pi\) | |||||||
\(200\) | −1.86237 | + | 2.14930i | −0.131690 | + | 0.151978i | ||||
\(201\) | −5.76565 | + | 12.6250i | −0.406678 | + | 0.890500i | ||||
\(202\) | −4.91130 | − | 1.44209i | −0.345558 | − | 0.101465i | ||||
\(203\) | −2.32836 | − | 5.09840i | −0.163419 | − | 0.357838i | ||||
\(204\) | 1.18711 | + | 8.25653i | 0.0831143 | + | 0.578072i | ||||
\(205\) | −25.2305 | − | 16.2146i | −1.76217 | − | 1.13248i | ||||
\(206\) | −9.61595 | −0.669975 | ||||||||
\(207\) | −38.3789 | − | 5.15850i | −2.66752 | − | 0.358540i | ||||
\(208\) | 2.38990 | 0.165710 | ||||||||
\(209\) | −13.4097 | − | 8.61787i | −0.927566 | − | 0.596110i | ||||
\(210\) | 1.32642 | + | 9.22542i | 0.0915313 | + | 0.636614i | ||||
\(211\) | −1.67468 | − | 3.66703i | −0.115290 | − | 0.252449i | 0.843187 | − | 0.537621i | \(-0.180677\pi\) |
−0.958477 | + | 0.285172i | \(0.907949\pi\) | |||||||
\(212\) | 13.5904 | + | 3.99050i | 0.933391 | + | 0.274068i | ||||
\(213\) | −10.2325 | + | 22.4060i | −0.701117 | + | 1.53523i | ||||
\(214\) | −2.26816 | + | 2.61760i | −0.155049 | + | 0.178936i | ||||
\(215\) | −1.51299 | + | 10.5231i | −0.103185 | + | 0.717667i | ||||
\(216\) | −16.2032 | + | 4.75768i | −1.10249 | + | 0.323719i | ||||
\(217\) | −3.17017 | − | 3.65858i | −0.215205 | − | 0.248360i | ||||
\(218\) | −4.83484 | + | 3.10716i | −0.327457 | + | 0.210444i | ||||
\(219\) | 7.29297 | − | 4.68691i | 0.492814 | − | 0.316712i | ||||
\(220\) | −4.44520 | − | 5.13003i | −0.299695 | − | 0.345867i | ||||
\(221\) | 5.74776 | − | 1.68770i | 0.386636 | − | 0.113527i | ||||
\(222\) | −1.25414 | + | 8.72274i | −0.0841724 | + | 0.585432i | ||||
\(223\) | −3.89712 | + | 4.49752i | −0.260971 | + | 0.301176i | −0.871080 | − | 0.491141i | \(-0.836580\pi\) |
0.610109 | + | 0.792317i | \(0.291125\pi\) | |||||||
\(224\) | −0.415415 | + | 0.909632i | −0.0277561 | + | 0.0607773i | ||||
\(225\) | −22.0332 | − | 6.46952i | −1.46888 | − | 0.431301i | ||||
\(226\) | −1.77242 | − | 3.88106i | −0.117900 | − | 0.258165i | ||||
\(227\) | 1.83817 | + | 12.7847i | 0.122003 | + | 0.848552i | 0.955281 | + | 0.295698i | \(0.0955523\pi\) |
−0.833278 | + | 0.552854i | \(0.813539\pi\) | |||||||
\(228\) | −18.4122 | − | 11.8328i | −1.21938 | − | 0.783646i | ||||
\(229\) | 12.5774 | 0.831139 | 0.415569 | − | 0.909562i | \(-0.363582\pi\) | ||||
0.415569 | + | 0.909562i | \(0.363582\pi\) | |||||||
\(230\) | −3.90243 | − | 12.8523i | −0.257319 | − | 0.847455i | ||||
\(231\) | −8.06562 | −0.530679 | ||||||||
\(232\) | 4.71515 | + | 3.03024i | 0.309564 | + | 0.198945i | ||||
\(233\) | 1.77601 | + | 12.3524i | 0.116350 | + | 0.809232i | 0.961520 | + | 0.274735i | \(0.0885900\pi\) |
−0.845170 | + | 0.534498i | \(0.820501\pi\) | |||||||
\(234\) | 8.01638 | + | 17.5534i | 0.524047 | + | 1.14750i | ||||
\(235\) | −12.5877 | − | 3.69608i | −0.821130 | − | 0.241106i | ||||
\(236\) | −5.00981 | + | 10.9700i | −0.326111 | + | 0.714083i | ||||
\(237\) | 17.9328 | − | 20.6956i | 1.16486 | − | 1.34432i | ||||
\(238\) | −0.356721 | + | 2.48105i | −0.0231228 | + | 0.160822i | ||||
\(239\) | 0.770307 | − | 0.226183i | 0.0498270 | − | 0.0146305i | −0.256724 | − | 0.966485i | \(-0.582643\pi\) |
0.306551 | + | 0.951854i | \(0.400825\pi\) | |||||||
\(240\) | −6.10349 | − | 7.04380i | −0.393979 | − | 0.454675i | ||||
\(241\) | 11.9454 | − | 7.67683i | 0.769470 | − | 0.494508i | −0.0960539 | − | 0.995376i | \(-0.530622\pi\) |
0.865524 | + | 0.500868i | \(0.166986\pi\) | |||||||
\(242\) | −4.31208 | + | 2.77120i | −0.277191 | + | 0.178140i | ||||
\(243\) | −36.5045 | − | 42.1285i | −2.34177 | − | 2.70254i | ||||
\(244\) | 2.44185 | − | 0.716992i | 0.156323 | − | 0.0459007i | ||||
\(245\) | −0.398581 | + | 2.77219i | −0.0254644 | + | 0.177109i | ||||
\(246\) | 23.3369 | − | 26.9322i | 1.48791 | − | 1.71713i | ||||
\(247\) | −6.52946 | + | 14.2975i | −0.415459 | + | 0.909729i | ||||
\(248\) | 4.64490 | + | 1.36386i | 0.294951 | + | 0.0866055i | ||||
\(249\) | 23.3617 | + | 51.1550i | 1.48049 | + | 3.24181i | ||||
\(250\) | 0.859371 | + | 5.97706i | 0.0543514 | + | 0.378022i | ||||
\(251\) | 21.2732 | + | 13.6715i | 1.34275 | + | 0.862935i | 0.997150 | − | 0.0754464i | \(-0.0240382\pi\) |
0.345603 | + | 0.938381i | \(0.387675\pi\) | |||||||
\(252\) | −8.07452 | −0.508647 | ||||||||
\(253\) | 11.4896 | − | 1.75988i | 0.722343 | − | 0.110642i | ||||
\(254\) | 17.9012 | 1.12322 | ||||||||
\(255\) | −19.6532 | − | 12.6304i | −1.23073 | − | 0.790944i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 6.46479 | + | 14.1559i | 0.403263 | + | 0.883022i | 0.996929 | + | 0.0783109i | \(0.0249527\pi\) |
−0.593666 | + | 0.804711i | \(0.702320\pi\) | |||||||
\(258\) | −12.1206 | − | 3.55892i | −0.754594 | − | 0.221569i | ||||
\(259\) | −1.10006 | + | 2.40879i | −0.0683543 | + | 0.149675i | ||||
\(260\) | −4.38324 | + | 5.05852i | −0.271837 | + | 0.313716i | ||||
\(261\) | −6.44073 | + | 44.7963i | −0.398671 | + | 2.77282i | ||||
\(262\) | −10.1929 | + | 2.99290i | −0.629719 | + | 0.184902i | ||||
\(263\) | −4.23623 | − | 4.88887i | −0.261217 | − | 0.301461i | 0.609957 | − | 0.792434i | \(-0.291187\pi\) |
−0.871174 | + | 0.490974i | \(0.836641\pi\) | |||||||
\(264\) | 6.78523 | − | 4.36060i | 0.417602 | − | 0.268377i | ||||
\(265\) | −33.3721 | + | 21.4469i | −2.05003 | + | 1.31748i | ||||
\(266\) | −4.30690 | − | 4.97043i | −0.264073 | − | 0.304756i | ||||
\(267\) | 11.3166 | − | 3.32284i | 0.692562 | − | 0.203355i | ||||
\(268\) | 0.593545 | − | 4.12820i | 0.0362566 | − | 0.252170i | ||||
\(269\) | 10.0263 | − | 11.5710i | 0.611316 | − | 0.705496i | −0.362718 | − | 0.931899i | \(-0.618151\pi\) |
0.974034 | + | 0.226403i | \(0.0726966\pi\) | |||||||
\(270\) | 19.6475 | − | 43.0220i | 1.19571 | − | 2.61823i | ||||
\(271\) | −2.29255 | − | 0.673153i | −0.139262 | − | 0.0408911i | 0.211359 | − | 0.977409i | \(-0.432211\pi\) |
−0.350621 | + | 0.936517i | \(0.614029\pi\) | |||||||
\(272\) | −1.04126 | − | 2.28005i | −0.0631358 | − | 0.138248i | ||||
\(273\) | 1.13186 | + | 7.87224i | 0.0685032 | + | 0.476450i | ||||
\(274\) | −5.76832 | − | 3.70707i | −0.348477 | − | 0.223952i | ||||
\(275\) | 6.89276 | 0.415649 | ||||||||
\(276\) | 15.7758 | − | 2.41640i | 0.949590 | − | 0.145450i | ||||
\(277\) | −31.0003 | −1.86263 | −0.931315 | − | 0.364215i | \(-0.881337\pi\) | ||||
−0.931315 | + | 0.364215i | \(0.881337\pi\) | |||||||
\(278\) | 13.7837 | + | 8.85825i | 0.826691 | + | 0.531282i | ||||
\(279\) | 5.56290 | + | 38.6908i | 0.333042 | + | 2.31636i | ||||
\(280\) | −1.16345 | − | 2.54761i | −0.0695296 | − | 0.152249i | ||||
\(281\) | −13.0781 | − | 3.84008i | −0.780175 | − | 0.229080i | −0.132689 | − | 0.991158i | \(-0.542361\pi\) |
−0.647486 | + | 0.762078i | \(0.724179\pi\) | |||||||
\(282\) | 6.47563 | − | 14.1797i | 0.385618 | − | 0.844386i | ||||
\(283\) | −14.3580 | + | 16.5700i | −0.853492 | + | 0.984982i | −0.999991 | − | 0.00422863i | \(-0.998654\pi\) |
0.146499 | + | 0.989211i | \(0.453199\pi\) | |||||||
\(284\) | 1.05338 | − | 7.32643i | 0.0625067 | − | 0.434744i | ||||
\(285\) | 58.8148 | − | 17.2696i | 3.48389 | − | 1.02296i | ||||
\(286\) | −3.79318 | − | 4.37756i | −0.224295 | − | 0.258851i | ||||
\(287\) | 9.00862 | − | 5.78949i | 0.531762 | − | 0.341743i | ||||
\(288\) | 6.79272 | − | 4.36542i | 0.400265 | − | 0.257235i | ||||
\(289\) | 7.01825 | + | 8.09949i | 0.412838 | + | 0.476441i | ||||
\(290\) | −15.0618 | + | 4.42254i | −0.884459 | + | 0.259701i | ||||
\(291\) | −4.05201 | + | 28.1823i | −0.237533 | + | 1.65208i | ||||
\(292\) | −1.70594 | + | 1.96876i | −0.0998327 | + | 0.115213i | ||||
\(293\) | 9.47619 | − | 20.7500i | 0.553605 | − | 1.21223i | −0.401473 | − | 0.915871i | \(-0.631502\pi\) |
0.955078 | − | 0.296355i | \(-0.0957711\pi\) | |||||||
\(294\) | −3.19304 | − | 0.937561i | −0.186222 | − | 0.0546797i | ||||
\(295\) | −14.0310 | − | 30.7236i | −0.816915 | − | 1.78879i | ||||
\(296\) | −0.376863 | − | 2.62114i | −0.0219047 | − | 0.152351i | ||||
\(297\) | 34.4318 | + | 22.1280i | 1.99794 | + | 1.28400i | ||||
\(298\) | 4.57406 | 0.264968 | ||||||||
\(299\) | −3.33003 | − | 10.9671i | −0.192580 | − | 0.634245i | ||||
\(300\) | 9.46413 | 0.546412 | ||||||||
\(301\) | −3.19334 | − | 2.05224i | −0.184061 | − | 0.118289i | ||||
\(302\) | 1.84209 | + | 12.8120i | 0.106000 | + | 0.737249i | ||||
\(303\) | 7.07618 | + | 15.4947i | 0.406516 | + | 0.890146i | ||||
\(304\) | 6.31041 | + | 1.85290i | 0.361927 | + | 0.106271i | ||||
\(305\) | −2.96092 | + | 6.48350i | −0.169542 | + | 0.371244i | ||||
\(306\) | 13.2539 | − | 15.2958i | 0.757675 | − | 0.874404i | ||||
\(307\) | −0.980452 | + | 6.81919i | −0.0559574 | + | 0.389192i | 0.942526 | + | 0.334133i | \(0.108444\pi\) |
−0.998483 | + | 0.0550585i | \(0.982465\pi\) | |||||||
\(308\) | 2.32550 | − | 0.682830i | 0.132508 | − | 0.0389078i | ||||
\(309\) | 20.9558 | + | 24.1843i | 1.19213 | + | 1.37579i | ||||
\(310\) | −11.4059 | + | 7.33010i | −0.647809 | + | 0.416321i | ||||
\(311\) | −0.299362 | + | 0.192388i | −0.0169753 | + | 0.0109093i | −0.549101 | − | 0.835756i | \(-0.685030\pi\) |
0.532126 | + | 0.846665i | \(0.321393\pi\) | |||||||
\(312\) | −5.20824 | − | 6.01062i | −0.294858 | − | 0.340285i | ||||
\(313\) | −3.67851 | + | 1.08011i | −0.207922 | + | 0.0610513i | −0.384035 | − | 0.923319i | \(-0.625466\pi\) |
0.176113 | + | 0.984370i | \(0.443648\pi\) | |||||||
\(314\) | 0.796056 | − | 5.53669i | 0.0449241 | − | 0.312454i | ||||
\(315\) | 14.8092 | − | 17.0908i | 0.834406 | − | 0.962956i | ||||
\(316\) | −3.41838 | + | 7.48520i | −0.192299 | + | 0.421076i | ||||
\(317\) | −22.2916 | − | 6.54540i | −1.25202 | − | 0.367626i | −0.412501 | − | 0.910957i | \(-0.635345\pi\) |
−0.839518 | + | 0.543331i | \(0.817163\pi\) | |||||||
\(318\) | −19.5810 | − | 42.8764i | −1.09805 | − | 2.40439i | ||||
\(319\) | −1.93328 | − | 13.4462i | −0.108243 | − | 0.752844i | ||||
\(320\) | 2.35610 | + | 1.51417i | 0.131710 | + | 0.0846449i | ||||
\(321\) | 11.5263 | 0.643333 | ||||||||
\(322\) | 4.75309 | + | 0.638861i | 0.264879 | + | 0.0356023i | ||||
\(323\) | 16.4852 | 0.917260 | ||||||||
\(324\) | 26.8985 | + | 17.2866i | 1.49436 | + | 0.960369i | ||||
\(325\) | −0.967270 | − | 6.72751i | −0.0536545 | − | 0.373175i | ||||
\(326\) | 2.47022 | + | 5.40903i | 0.136813 | + | 0.299579i | ||||
\(327\) | 18.3510 | + | 5.38834i | 1.01481 | + | 0.297976i | ||||
\(328\) | −4.44850 | + | 9.74086i | −0.245627 | + | 0.537849i | ||||
\(329\) | 3.06751 | − | 3.54010i | 0.169117 | − | 0.195172i | ||||
\(330\) | −3.21481 | + | 22.3595i | −0.176969 | + | 1.23085i | ||||
\(331\) | 21.9911 | − | 6.45717i | 1.20874 | − | 0.354918i | 0.385552 | − | 0.922686i | \(-0.374011\pi\) |
0.823189 | + | 0.567768i | \(0.192193\pi\) | |||||||
\(332\) | −11.0665 | − | 12.7714i | −0.607351 | − | 0.700920i | ||||
\(333\) | 17.9878 | − | 11.5600i | 0.985724 | − | 0.633486i | ||||
\(334\) | 19.6360 | − | 12.6193i | 1.07443 | − | 0.690497i | ||||
\(335\) | 7.64926 | + | 8.82772i | 0.417924 | + | 0.482310i | ||||
\(336\) | 3.19304 | − | 0.937561i | 0.174195 | − | 0.0511481i | ||||
\(337\) | −0.206330 | + | 1.43505i | −0.0112395 | + | 0.0781724i | −0.994669 | − | 0.103118i | \(-0.967118\pi\) |
0.983430 | + | 0.181290i | \(0.0580273\pi\) | |||||||
\(338\) | 4.77288 | − | 5.50820i | 0.259611 | − | 0.299607i | ||||
\(339\) | −5.89834 | + | 12.9156i | −0.320354 | + | 0.701477i | ||||
\(340\) | 6.73576 | + | 1.97780i | 0.365298 | + | 0.107261i | ||||
\(341\) | −4.87407 | − | 10.6727i | −0.263946 | − | 0.577960i | ||||
\(342\) | 7.55758 | + | 52.5641i | 0.408667 | + | 2.84234i | ||||
\(343\) | −0.841254 | − | 0.540641i | −0.0454234 | − | 0.0291919i | ||||
\(344\) | 3.79593 | 0.204663 | ||||||||
\(345\) | −23.8192 | + | 37.8233i | −1.28238 | + | 2.03634i | ||||
\(346\) | −2.36002 | −0.126875 | ||||||||
\(347\) | 27.8088 | + | 17.8717i | 1.49286 | + | 0.959401i | 0.995788 | + | 0.0916905i | \(0.0292270\pi\) |
0.497070 | + | 0.867711i | \(0.334409\pi\) | |||||||
\(348\) | −2.65449 | − | 18.4624i | −0.142296 | − | 0.989687i | ||||
\(349\) | −1.48259 | − | 3.24642i | −0.0793612 | − | 0.173777i | 0.865792 | − | 0.500404i | \(-0.166815\pi\) |
−0.945153 | + | 0.326627i | \(0.894088\pi\) | |||||||
\(350\) | 2.72873 | + | 0.801226i | 0.145857 | + | 0.0428273i | ||||
\(351\) | 16.7656 | − | 36.7115i | 0.894882 | − | 1.95952i | ||||
\(352\) | −1.58717 | + | 1.83170i | −0.0845966 | + | 0.0976297i | ||||
\(353\) | 5.16924 | − | 35.9529i | 0.275131 | − | 1.91358i | −0.116012 | − | 0.993248i | \(-0.537011\pi\) |
0.391143 | − | 0.920330i | \(-0.372080\pi\) | |||||||
\(354\) | 38.5073 | − | 11.3068i | 2.04664 | − | 0.600948i | ||||
\(355\) | 13.5754 | + | 15.6668i | 0.720505 | + | 0.831508i | ||||
\(356\) | −2.98152 | + | 1.91610i | −0.158020 | + | 0.101553i | ||||
\(357\) | 7.01726 | − | 4.50972i | 0.371393 | − | 0.238680i | ||||
\(358\) | 9.09745 | + | 10.4990i | 0.480815 | + | 0.554890i | ||||
\(359\) | 4.70224 | − | 1.38070i | 0.248175 | − | 0.0728707i | −0.155279 | − | 0.987871i | \(-0.549628\pi\) |
0.403454 | + | 0.915000i | \(0.367810\pi\) | |||||||
\(360\) | −3.21835 | + | 22.3841i | −0.169622 | + | 1.17975i | ||||
\(361\) | −15.8833 | + | 18.3303i | −0.835965 | + | 0.964755i | ||||
\(362\) | 1.94688 | − | 4.26307i | 0.102326 | − | 0.224062i | ||||
\(363\) | 16.3668 | + | 4.80573i | 0.859034 | + | 0.252235i | ||||
\(364\) | −0.992799 | − | 2.17393i | −0.0520368 | − | 0.113945i | ||||
\(365\) | −1.03832 | − | 7.22169i | −0.0543483 | − | 0.378001i | ||||
\(366\) | −7.12470 | − | 4.57877i | −0.372414 | − | 0.239336i | ||||
\(367\) | −6.33730 | −0.330804 | −0.165402 | − | 0.986226i | \(-0.552892\pi\) | ||||
−0.165402 | + | 0.986226i | \(0.552892\pi\) | |||||||
\(368\) | −4.34395 | + | 2.03227i | −0.226444 | + | 0.105939i | ||||
\(369\) | −86.4666 | −4.50127 | ||||||||
\(370\) | 6.23918 | + | 4.00967i | 0.324359 | + | 0.208453i | ||||
\(371\) | −2.01577 | − | 14.0200i | −0.104653 | − | 0.727880i | ||||
\(372\) | −6.69235 | − | 14.6542i | −0.346982 | − | 0.759785i | ||||
\(373\) | −4.96384 | − | 1.45752i | −0.257018 | − | 0.0754673i | 0.150685 | − | 0.988582i | \(-0.451852\pi\) |
−0.407703 | + | 0.913114i | \(0.633670\pi\) | |||||||
\(374\) | −2.52369 | + | 5.52610i | −0.130497 | + | 0.285748i | ||||
\(375\) | 13.1596 | − | 15.1870i | 0.679558 | − | 0.784251i | ||||
\(376\) | −0.666634 | + | 4.63654i | −0.0343790 | + | 0.239111i | ||||
\(377\) | −12.8525 | + | 3.77385i | −0.661940 | + | 0.194363i | ||||
\(378\) | 11.0588 | + | 12.7625i | 0.568802 | + | 0.656432i | ||||
\(379\) | −7.78275 | + | 5.00167i | −0.399773 | + | 0.256918i | −0.725044 | − | 0.688702i | \(-0.758181\pi\) |
0.325271 | + | 0.945621i | \(0.394544\pi\) | |||||||
\(380\) | −15.4956 | + | 9.95844i | −0.794909 | + | 0.510857i | ||||
\(381\) | −39.0116 | − | 45.0217i | −1.99862 | − | 2.30653i | ||||
\(382\) | −7.81441 | + | 2.29452i | −0.399820 | + | 0.117398i | ||||
\(383\) | −4.39565 | + | 30.5724i | −0.224607 | + | 1.56218i | 0.495681 | + | 0.868505i | \(0.334918\pi\) |
−0.720289 | + | 0.693675i | \(0.755991\pi\) | |||||||
\(384\) | −2.17927 | + | 2.51501i | −0.111211 | + | 0.128344i | ||||
\(385\) | −2.81984 | + | 6.17458i | −0.143712 | + | 0.314686i | ||||
\(386\) | −1.63080 | − | 0.478847i | −0.0830057 | − | 0.0243727i | ||||
\(387\) | 12.7326 | + | 27.8806i | 0.647235 | + | 1.41725i | ||||
\(388\) | −1.21761 | − | 8.46866i | −0.0618147 | − | 0.429931i | ||||
\(389\) | 13.4057 | + | 8.61531i | 0.679695 | + | 0.436813i | 0.834409 | − | 0.551146i | \(-0.185809\pi\) |
−0.154714 | + | 0.987959i | \(0.549446\pi\) | |||||||
\(390\) | 22.2745 | 1.12791 | ||||||||
\(391\) | −9.01216 | + | 7.95527i | −0.455764 | + | 0.402315i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | 29.7403 | + | 19.1129i | 1.50020 | + | 0.964119i | ||||
\(394\) | 0.540069 | + | 3.75626i | 0.0272083 | + | 0.189238i | ||||
\(395\) | −9.57385 | − | 20.9638i | −0.481713 | − | 1.05480i | ||||
\(396\) | −18.7773 | − | 5.51352i | −0.943597 | − | 0.277065i | ||||
\(397\) | 6.83155 | − | 14.9590i | 0.342866 | − | 0.750772i | −0.657130 | − | 0.753778i | \(-0.728230\pi\) |
0.999995 | + | 0.00300606i | \(0.000956860\pi\) | |||||||
\(398\) | 14.3739 | − | 16.5883i | 0.720496 | − | 0.831497i | ||||
\(399\) | −3.11479 | + | 21.6638i | −0.155934 | + | 1.08455i | ||||
\(400\) | −2.72873 | + | 0.801226i | −0.136436 | + | 0.0400613i | ||||
\(401\) | −4.61191 | − | 5.32242i | −0.230308 | − | 0.265789i | 0.628820 | − | 0.777551i | \(-0.283538\pi\) |
−0.859127 | + | 0.511762i | \(0.828993\pi\) | |||||||
\(402\) | −11.6760 | + | 7.50369i | −0.582345 | + | 0.374250i | ||||
\(403\) | −9.73285 | + | 6.25493i | −0.484828 | + | 0.311580i | ||||
\(404\) | −3.35200 | − | 3.86841i | −0.166768 | − | 0.192461i | ||||
\(405\) | −85.9232 | + | 25.2293i | −4.26956 | + | 1.25366i | ||||
\(406\) | 0.797661 | − | 5.54785i | 0.0395873 | − | 0.275335i | ||||
\(407\) | −4.20298 | + | 4.85050i | −0.208334 | + | 0.240431i | ||||
\(408\) | −3.46516 | + | 7.58763i | −0.171551 | + | 0.375644i | ||||
\(409\) | 0.191659 | + | 0.0562763i | 0.00947694 | + | 0.00278268i | 0.286468 | − | 0.958090i | \(-0.407519\pi\) |
−0.276991 | + | 0.960873i | \(0.589337\pi\) | |||||||
\(410\) | −12.4589 | − | 27.2812i | −0.615302 | − | 1.34732i | ||||
\(411\) | 3.24739 | + | 22.5861i | 0.160182 | + | 1.11409i | ||||
\(412\) | −8.08945 | − | 5.19878i | −0.398539 | − | 0.256125i | ||||
\(413\) | 12.0598 | 0.593423 | ||||||||
\(414\) | −29.4975 | − | 25.0888i | −1.44972 | − | 1.23305i | ||||
\(415\) | 47.3289 | 2.32328 | ||||||||
\(416\) | 2.01051 | + | 1.29208i | 0.0985733 | + | 0.0633492i | ||||
\(417\) | −7.75982 | − | 53.9707i | −0.380000 | − | 2.64296i | ||||
\(418\) | −6.62176 | − | 14.4996i | −0.323881 | − | 0.709200i | ||||
\(419\) | −17.8542 | − | 5.24248i | −0.872237 | − | 0.256112i | −0.185170 | − | 0.982706i | \(-0.559284\pi\) |
−0.687066 | + | 0.726595i | \(0.741102\pi\) | |||||||
\(420\) | −3.87179 | + | 8.47803i | −0.188924 | + | 0.413686i | ||||
\(421\) | 21.2509 | − | 24.5249i | 1.03571 | − | 1.19527i | 0.0552626 | − | 0.998472i | \(-0.482400\pi\) |
0.980444 | − | 0.196797i | \(-0.0630541\pi\) | |||||||
\(422\) | 0.573719 | − | 3.99031i | 0.0279282 | − | 0.194245i | ||||
\(423\) | −36.2908 | + | 10.6559i | −1.76452 | + | 0.518109i | ||||
\(424\) | 9.27553 | + | 10.7045i | 0.450460 | + | 0.519858i | ||||
\(425\) | −5.99685 | + | 3.85394i | −0.290890 | + | 0.186944i | ||||
\(426\) | −20.7217 | + | 13.3170i | −1.00397 | + | 0.645212i | ||||
\(427\) | −1.66658 | − | 1.92334i | −0.0806515 | − | 0.0930767i | ||||
\(428\) | −3.32328 | + | 0.975804i | −0.160637 | + | 0.0471673i | ||||
\(429\) | −2.74326 | + | 19.0798i | −0.132446 | + | 0.921181i | ||||
\(430\) | −6.96201 | + | 8.03458i | −0.335738 | + | 0.387462i | ||||
\(431\) | 12.6292 | − | 27.6541i | 0.608328 | − | 1.33205i | −0.315384 | − | 0.948964i | \(-0.602133\pi\) |
0.923712 | − | 0.383088i | \(-0.125139\pi\) | |||||||
\(432\) | −16.2032 | − | 4.75768i | −0.779575 | − | 0.228904i | ||||
\(433\) | −5.28841 | − | 11.5800i | −0.254145 | − | 0.556499i | 0.738957 | − | 0.673752i | \(-0.235318\pi\) |
−0.993102 | + | 0.117253i | \(0.962591\pi\) | |||||||
\(434\) | −0.688945 | − | 4.79171i | −0.0330704 | − | 0.230010i | ||||
\(435\) | 43.9465 | + | 28.2427i | 2.10707 | + | 1.35413i | ||||
\(436\) | −5.74719 | −0.275240 | ||||||||
\(437\) | −0.289886 | − | 31.5400i | −0.0138671 | − | 1.50876i | ||||
\(438\) | 8.66918 | 0.414229 | ||||||||
\(439\) | 4.79394 | + | 3.08088i | 0.228802 | + | 0.147042i | 0.650020 | − | 0.759917i | \(-0.274761\pi\) |
−0.421217 | + | 0.906960i | \(0.638397\pi\) | |||||||
\(440\) | −0.966034 | − | 6.71891i | −0.0460538 | − | 0.320311i | ||||
\(441\) | 3.35428 | + | 7.34485i | 0.159728 | + | 0.349755i | ||||
\(442\) | 5.74776 | + | 1.68770i | 0.273393 | + | 0.0802755i | ||||
\(443\) | −12.7805 | + | 27.9853i | −0.607218 | + | 1.32962i | 0.317242 | + | 0.948344i | \(0.397243\pi\) |
−0.924461 | + | 0.381278i | \(0.875484\pi\) | |||||||
\(444\) | −5.77092 | + | 6.66000i | −0.273876 | + | 0.316069i | ||||
\(445\) | 1.41263 | − | 9.82503i | 0.0669649 | − | 0.465751i | ||||
\(446\) | −5.71001 | + | 1.67661i | −0.270377 | + | 0.0793898i | ||||
\(447\) | −9.96812 | − | 11.5038i | −0.471476 | − | 0.544112i | ||||
\(448\) | −0.841254 | + | 0.540641i | −0.0397455 | + | 0.0255429i | ||||
\(449\) | −21.3574 | + | 13.7256i | −1.00792 | + | 0.647750i | −0.936854 | − | 0.349722i | \(-0.886276\pi\) |
−0.0710651 | + | 0.997472i | \(0.522640\pi\) | |||||||
\(450\) | −15.0378 | − | 17.3545i | −0.708888 | − | 0.818101i | ||||
\(451\) | 24.9028 | − | 7.31213i | 1.17263 | − | 0.344315i | ||||
\(452\) | 0.607205 | − | 4.22320i | 0.0285605 | − | 0.198643i | ||||
\(453\) | 28.2080 | − | 32.5538i | 1.32533 | − | 1.52951i | ||||
\(454\) | −5.36558 | + | 11.7490i | −0.251819 | + | 0.551407i | ||||
\(455\) | 6.42226 | + | 1.88574i | 0.301080 | + | 0.0884051i | ||||
\(456\) | −9.09202 | − | 19.9088i | −0.425773 | − | 0.932313i | ||||
\(457\) | 0.563105 | + | 3.91648i | 0.0263409 | + | 0.183205i | 0.998744 | − | 0.0501015i | \(-0.0159545\pi\) |
−0.972403 | + | 0.233307i | \(0.925045\pi\) | |||||||
\(458\) | 10.5808 | + | 6.79986i | 0.494408 | + | 0.317737i | ||||
\(459\) | −42.3288 | −1.97574 | ||||||||
\(460\) | 3.66554 | − | 12.9218i | 0.170907 | − | 0.602484i | ||||
\(461\) | −25.0839 | −1.16827 | −0.584137 | − | 0.811655i | \(-0.698567\pi\) | ||||
−0.584137 | + | 0.811655i | \(0.698567\pi\) | |||||||
\(462\) | −6.78523 | − | 4.36060i | −0.315678 | − | 0.202874i | ||||
\(463\) | −3.51988 | − | 24.4813i | −0.163583 | − | 1.13774i | −0.891811 | − | 0.452408i | \(-0.850565\pi\) |
0.728228 | − | 0.685335i | \(-0.240344\pi\) | |||||||
\(464\) | 2.32836 | + | 5.09840i | 0.108091 | + | 0.236687i | ||||
\(465\) | 43.2918 | + | 12.7116i | 2.00761 | + | 0.589487i | ||||
\(466\) | −5.18414 | + | 11.3517i | −0.240150 | + | 0.525856i | ||||
\(467\) | −6.82419 | + | 7.87553i | −0.315786 | + | 0.364436i | −0.891346 | − | 0.453323i | \(-0.850238\pi\) |
0.575561 | + | 0.817759i | \(0.304784\pi\) | |||||||
\(468\) | −2.74629 | + | 19.1009i | −0.126947 | + | 0.882938i | ||||
\(469\) | −4.00171 | + | 1.17501i | −0.184782 | + | 0.0542568i | ||||
\(470\) | −8.59119 | − | 9.91476i | −0.396282 | − | 0.457334i | ||||
\(471\) | −15.6597 | + | 10.0639i | −0.721560 | + | 0.463719i | ||||
\(472\) | −10.1453 | + | 6.52000i | −0.466976 | + | 0.300108i | ||||
\(473\) | −6.02480 | − | 6.95299i | −0.277021 | − | 0.319699i | ||||
\(474\) | 26.2750 | − | 7.71503i | 1.20685 | − | 0.354363i | ||||
\(475\) | 2.66185 | − | 18.5136i | 0.122134 | − | 0.849462i | ||||
\(476\) | −1.64145 | + | 1.89433i | −0.0752356 | + | 0.0868265i | ||||
\(477\) | −47.5104 | + | 104.033i | −2.17535 | + | 4.76336i | ||||
\(478\) | 0.770307 | + | 0.226183i | 0.0352330 | + | 0.0103454i | ||||
\(479\) | 13.1442 | + | 28.7819i | 0.600575 | + | 1.31508i | 0.928837 | + | 0.370490i | \(0.120810\pi\) |
−0.328261 | + | 0.944587i | \(0.606463\pi\) | |||||||
\(480\) | −1.32642 | − | 9.22542i | −0.0605423 | − | 0.421081i | ||||
\(481\) | 5.32402 | + | 3.42154i | 0.242754 | + | 0.156009i | ||||
\(482\) | 14.1995 | 0.646770 | ||||||||
\(483\) | −8.75153 | − | 13.3463i | −0.398208 | − | 0.607279i | ||||
\(484\) | −5.12578 | −0.232990 | ||||||||
\(485\) | 20.1582 | + | 12.9549i | 0.915336 | + | 0.588250i | ||||
\(486\) | −7.93319 | − | 55.1766i | −0.359857 | − | 2.50286i | ||||
\(487\) | 12.7768 | + | 27.9772i | 0.578970 | + | 1.26777i | 0.941882 | + | 0.335944i | \(0.109055\pi\) |
−0.362912 | + | 0.931823i | \(0.618217\pi\) | |||||||
\(488\) | 2.44185 | + | 0.716992i | 0.110537 | + | 0.0324567i | ||||
\(489\) | 8.22051 | − | 18.0004i | 0.371744 | − | 0.814006i | ||||
\(490\) | −1.83407 | + | 2.11663i | −0.0828548 | + | 0.0956195i | ||||
\(491\) | 1.67747 | − | 11.6670i | 0.0757030 | − | 0.526526i | −0.916318 | − | 0.400452i | \(-0.868853\pi\) |
0.992021 | − | 0.126074i | \(-0.0402377\pi\) | |||||||
\(492\) | 34.1929 | − | 10.0399i | 1.54153 | − | 0.452635i | ||||
\(493\) | 9.20015 | + | 10.6175i | 0.414354 | + | 0.478190i | ||||
\(494\) | −13.2228 | + | 8.49775i | −0.594920 | + | 0.382332i | ||||
\(495\) | 46.1090 | − | 29.6325i | 2.07245 | − | 1.33188i | ||||
\(496\) | 3.17017 | + | 3.65858i | 0.142345 | + | 0.164275i | ||||
\(497\) | −7.10195 | + | 2.08532i | −0.318566 | + | 0.0935394i | ||||
\(498\) | −8.00336 | + | 55.6646i | −0.358639 | + | 2.49439i | ||||
\(499\) | 27.3368 | − | 31.5484i | 1.22376 | − | 1.41230i | 0.342604 | − | 0.939480i | \(-0.388691\pi\) |
0.881160 | − | 0.472819i | \(-0.156763\pi\) | |||||||
\(500\) | −2.50849 | + | 5.49283i | −0.112183 | + | 0.245647i | ||||
\(501\) | −74.5299 | − | 21.8840i | −3.32975 | − | 0.977703i | ||||
\(502\) | 10.5048 | + | 23.0023i | 0.468852 | + | 1.02664i | ||||
\(503\) | 0.853005 | + | 5.93278i | 0.0380336 | + | 0.264530i | 0.999962 | − | 0.00877377i | \(-0.00279281\pi\) |
−0.961928 | + | 0.273303i | \(0.911884\pi\) | |||||||
\(504\) | −6.79272 | − | 4.36542i | −0.302572 | − | 0.194451i | ||||
\(505\) | 14.3358 | 0.637934 | ||||||||
\(506\) | 10.6171 | + | 4.73122i | 0.471987 | + | 0.210329i | ||||
\(507\) | −24.2546 | −1.07719 | ||||||||
\(508\) | 15.0594 | + | 9.67811i | 0.668154 | + | 0.429397i | ||||
\(509\) | 3.26117 | + | 22.6820i | 0.144549 | + | 1.00536i | 0.924952 | + | 0.380083i | \(0.124105\pi\) |
−0.780403 | + | 0.625277i | \(0.784986\pi\) | |||||||
\(510\) | −9.70486 | − | 21.2507i | −0.429739 | − | 0.940996i | ||||
\(511\) | 2.49952 | + | 0.733926i | 0.110572 | + | 0.0324670i | ||||
\(512\) | 0.415415 | − | 0.909632i | 0.0183589 | − | 0.0402004i | ||||
\(513\) | 72.7315 | − | 83.9366i | 3.21117 | − | 3.70589i | ||||
\(514\) | −2.21474 | + | 15.4039i | −0.0976880 | + | 0.679435i | ||||
\(515\) | 25.8405 | − | 7.58745i | 1.13867 | − | 0.334343i | ||||
\(516\) | −8.27237 | − | 9.54683i | −0.364171 | − | 0.420276i | ||||
\(517\) | 9.55080 | − | 6.13793i | 0.420044 | − | 0.269946i | ||||
\(518\) | −2.22772 | + | 1.43167i | −0.0978804 | + | 0.0629039i | ||||
\(519\) | 5.14312 | + | 5.93547i | 0.225758 | + | 0.260538i | ||||
\(520\) | −6.42226 | + | 1.88574i | −0.281635 | + | 0.0826954i | ||||
\(521\) | 2.14759 | − | 14.9368i | 0.0940878 | − | 0.654395i | −0.887134 | − | 0.461512i | \(-0.847307\pi\) |
0.981222 | − | 0.192883i | \(-0.0617838\pi\) | |||||||
\(522\) | −29.6370 | + | 34.2029i | −1.29718 | + | 1.49702i | ||||
\(523\) | 13.1533 | − | 28.8018i | 0.575155 | − | 1.25941i | −0.368853 | − | 0.929488i | \(-0.620249\pi\) |
0.944007 | − | 0.329925i | \(-0.107023\pi\) | |||||||
\(524\) | −10.1929 | − | 2.99290i | −0.445278 | − | 0.130745i | ||||
\(525\) | −3.93154 | − | 8.60888i | −0.171587 | − | 0.375722i | ||||
\(526\) | −0.920621 | − | 6.40306i | −0.0401410 | − | 0.279187i | ||||
\(527\) | 10.2080 | + | 6.56026i | 0.444666 | + | 0.285769i | ||||
\(528\) | 8.06562 | 0.351011 | ||||||||
\(529\) | 15.3787 | + | 17.1025i | 0.668641 | + | 0.743585i | ||||
\(530\) | −39.6695 | −1.72313 | ||||||||
\(531\) | −81.9187 | − | 52.6459i | −3.55497 | − | 2.28464i | ||||
\(532\) | −0.935979 | − | 6.50987i | −0.0405798 | − | 0.282239i | ||||
\(533\) | −10.6315 | − | 23.2796i | −0.460499 | − | 1.00835i | ||||
\(534\) | 11.3166 | + | 3.32284i | 0.489716 | + | 0.143793i | ||||
\(535\) | 4.02972 | − | 8.82385i | 0.174220 | − | 0.381488i | ||||
\(536\) | 2.73120 | − | 3.15197i | 0.117970 | − | 0.136144i | ||||
\(537\) | 6.57936 | − | 45.7604i | 0.283920 | − | 1.97471i | ||||
\(538\) | 14.6904 | − | 4.31350i | 0.633350 | − | 0.185968i | ||||
\(539\) | −1.58717 | − | 1.83170i | −0.0683644 | − | 0.0788967i | ||||
\(540\) | 39.7879 | − | 25.5702i | 1.71220 | − | 1.10036i | ||||
\(541\) | −28.3278 | + | 18.2052i | −1.21791 | + | 0.782702i | −0.981965 | − | 0.189064i | \(-0.939455\pi\) |
−0.235944 | + | 0.971767i | \(0.575818\pi\) | |||||||
\(542\) | −1.56468 | − | 1.80574i | −0.0672088 | − | 0.0775631i | ||||
\(543\) | −14.9644 | + | 4.39396i | −0.642186 | + | 0.188563i | ||||
\(544\) | 0.356721 | − | 2.48105i | 0.0152943 | − | 0.106374i | ||||
\(545\) | 10.5407 | − | 12.1647i | 0.451516 | − | 0.521077i | ||||
\(546\) | −3.30388 | + | 7.23448i | −0.141393 | + | 0.309607i | ||||
\(547\) | −3.31116 | − | 0.972246i | −0.141575 | − | 0.0415702i | 0.210177 | − | 0.977663i | \(-0.432596\pi\) |
−0.351752 | + | 0.936093i | \(0.614414\pi\) | |||||||
\(548\) | −2.84842 | − | 6.23717i | −0.121679 | − | 0.266439i | ||||
\(549\) | 2.92445 | + | 20.3400i | 0.124813 | + | 0.868090i | ||||
\(550\) | 5.79856 | + | 3.72651i | 0.247252 | + | 0.158899i | ||||
\(551\) | −36.8624 | −1.57039 | ||||||||
\(552\) | 14.5778 | + | 6.49622i | 0.620474 | + | 0.276497i | ||||
\(553\) | 8.22883 | 0.349925 | ||||||||
\(554\) | −26.0791 | − | 16.7601i | −1.10800 | − | 0.712066i | ||||
\(555\) | −3.51247 | − | 24.4298i | −0.149096 | − | 1.03699i | ||||
\(556\) | 6.80646 | + | 14.9041i | 0.288658 | + | 0.632073i | ||||
\(557\) | −0.907330 | − | 0.266416i | −0.0384448 | − | 0.0112884i | 0.262454 | − | 0.964945i | \(-0.415468\pi\) |
−0.300898 | + | 0.953656i | \(0.597287\pi\) | |||||||
\(558\) | −16.2380 | + | 35.5563i | −0.687410 | + | 1.50522i | ||||
\(559\) | −5.94083 | + | 6.85608i | −0.251270 | + | 0.289981i | ||||
\(560\) | 0.398581 | − | 2.77219i | 0.0168431 | − | 0.117147i | ||||
\(561\) | 19.3980 | − | 5.69577i | 0.818985 | − | 0.240476i | ||||
\(562\) | −8.92591 | − | 10.3010i | −0.376517 | − | 0.434523i | ||||
\(563\) | 27.1638 | − | 17.4571i | 1.14482 | − | 0.735729i | 0.176216 | − | 0.984352i | \(-0.443614\pi\) |
0.968600 | + | 0.248623i | \(0.0799780\pi\) | |||||||
\(564\) | 13.1138 | − | 8.42770i | 0.552189 | − | 0.354870i | ||||
\(565\) | 7.82529 | + | 9.03087i | 0.329213 | + | 0.379932i | ||||
\(566\) | −21.0371 | + | 6.17704i | −0.884254 | + | 0.259641i | ||||
\(567\) | 4.55043 | − | 31.6489i | 0.191100 | − | 1.32913i | ||||
\(568\) | 4.84713 | − | 5.59389i | 0.203381 | − | 0.234714i | ||||
\(569\) | 8.01056 | − | 17.5407i | 0.335820 | − | 0.735344i | −0.664104 | − | 0.747640i | \(-0.731187\pi\) |
0.999924 | + | 0.0122962i | \(0.00391410\pi\) | |||||||
\(570\) | 58.8148 | + | 17.2696i | 2.46348 | + | 0.723344i | ||||
\(571\) | 7.29393 | + | 15.9715i | 0.305242 | + | 0.668386i | 0.998638 | − | 0.0521703i | \(-0.0166139\pi\) |
−0.693397 | + | 0.720556i | \(0.743887\pi\) | |||||||
\(572\) | −0.824337 | − | 5.73339i | −0.0344672 | − | 0.239725i | ||||
\(573\) | 22.8005 | + | 14.6530i | 0.952504 | + | 0.612137i | ||||
\(574\) | 10.7086 | 0.446967 | ||||||||
\(575\) | 7.47893 | + | 11.4056i | 0.311893 | + | 0.475646i | ||||
\(576\) | 8.07452 | 0.336438 | ||||||||
\(577\) | 11.0001 | + | 7.06933i | 0.457940 | + | 0.294300i | 0.749200 | − | 0.662344i | \(-0.230438\pi\) |
−0.291260 | + | 0.956644i | \(0.594075\pi\) | |||||||
\(578\) | 1.52521 | + | 10.6081i | 0.0634404 | + | 0.441238i | ||||
\(579\) | 2.34966 | + | 5.14503i | 0.0976484 | + | 0.213820i | ||||
\(580\) | −15.0618 | − | 4.42254i | −0.625407 | − | 0.183636i | ||||
\(581\) | −7.02008 | + | 15.3718i | −0.291242 | + | 0.637731i | ||||
\(582\) | −18.6453 | + | 21.5178i | −0.772872 | + | 0.891942i | ||||
\(583\) | 4.88557 | − | 33.9799i | 0.202340 | − | 1.40730i | ||||
\(584\) | −2.49952 | + | 0.733926i | −0.103431 | + | 0.0303701i | ||||
\(585\) | −35.3925 | − | 40.8452i | −1.46330 | − | 1.68874i | ||||
\(586\) | 19.1902 | − | 12.3328i | 0.792738 | − | 0.509462i | ||||
\(587\) | −20.5676 | + | 13.2180i | −0.848915 | + | 0.545565i | −0.891236 | − | 0.453539i | \(-0.850161\pi\) |
0.0423210 | + | 0.999104i | \(0.486525\pi\) | |||||||
\(588\) | −2.17927 | − | 2.51501i | −0.0898717 | − | 0.103717i | ||||
\(589\) | −30.5486 | + | 8.96989i | −1.25873 | + | 0.369598i | ||||
\(590\) | 4.80680 | − | 33.4320i | 0.197893 | − | 1.37637i | ||||
\(591\) | 8.27010 | − | 9.54420i | 0.340186 | − | 0.392596i | ||||
\(592\) | 1.10006 | − | 2.40879i | 0.0452121 | − | 0.0990007i | ||||
\(593\) | 9.89773 | + | 2.90624i | 0.406451 | + | 0.119345i | 0.478566 | − | 0.878052i | \(-0.341157\pi\) |
−0.0721151 | + | 0.997396i | \(0.522975\pi\) | |||||||
\(594\) | 17.0026 | + | 37.2305i | 0.697625 | + | 1.52759i | ||||
\(595\) | −0.999068 | − | 6.94867i | −0.0409578 | − | 0.284868i | ||||
\(596\) | 3.84794 | + | 2.47292i | 0.157618 | + | 0.101295i | ||||
\(597\) | −73.0444 | −2.98951 | ||||||||
\(598\) | 3.12788 | − | 11.0265i | 0.127909 | − | 0.450906i | ||||
\(599\) | 17.6636 | 0.721714 | 0.360857 | − | 0.932621i | \(-0.382484\pi\) | ||||
0.360857 | + | 0.932621i | \(0.382484\pi\) | |||||||
\(600\) | 7.96173 | + | 5.11670i | 0.325036 | + | 0.208888i | ||||
\(601\) | 0.164226 | + | 1.14222i | 0.00669891 | + | 0.0465920i | 0.992897 | − | 0.118979i | \(-0.0379623\pi\) |
−0.986198 | + | 0.165571i | \(0.947053\pi\) | |||||||
\(602\) | −1.57689 | − | 3.45290i | −0.0642692 | − | 0.140730i | ||||
\(603\) | 32.3119 | + | 9.48763i | 1.31584 | + | 0.386366i | ||||
\(604\) | −5.37704 | + | 11.7741i | −0.218788 | + | 0.479080i | ||||
\(605\) | 9.40103 | − | 10.8494i | 0.382206 | − | 0.441089i | ||||
\(606\) | −2.42419 | + | 16.8606i | −0.0984761 | + | 0.684916i | ||||
\(607\) | 12.6775 | − | 3.72246i | 0.514565 | − | 0.151090i | −0.0141324 | − | 0.999900i | \(-0.504499\pi\) |
0.528698 | + | 0.848810i | \(0.322680\pi\) | |||||||
\(608\) | 4.30690 | + | 4.97043i | 0.174668 | + | 0.201577i | ||||
\(609\) | −15.6913 | + | 10.0842i | −0.635842 | + | 0.408631i | ||||
\(610\) | −5.99613 | + | 3.85348i | −0.242776 | + | 0.156023i | ||||
\(611\) | −7.33104 | − | 8.46047i | −0.296582 | − | 0.342274i | ||||
\(612\) | 19.4194 | − | 5.70206i | 0.784984 | − | 0.230492i | ||||
\(613\) | −2.59518 | + | 18.0499i | −0.104818 | + | 0.729028i | 0.867850 | + | 0.496827i | \(0.165502\pi\) |
−0.972668 | + | 0.232201i | \(0.925407\pi\) | |||||||
\(614\) | −4.51154 | + | 5.20660i | −0.182071 | + | 0.210121i | ||||
\(615\) | −41.4613 | + | 90.7876i | −1.67188 | + | 3.66091i | ||||
\(616\) | 2.32550 | + | 0.682830i | 0.0936972 | + | 0.0275120i | ||||
\(617\) | −15.0109 | − | 32.8692i | −0.604315 | − | 1.32326i | −0.926395 | − | 0.376553i | \(-0.877109\pi\) |
0.322080 | − | 0.946712i | \(-0.395618\pi\) | |||||||
\(618\) | 4.55413 | + | 31.6746i | 0.183194 | + | 1.27414i | ||||
\(619\) | −15.8562 | − | 10.1901i | −0.637312 | − | 0.409576i | 0.181698 | − | 0.983354i | \(-0.441841\pi\) |
−0.819011 | + | 0.573779i | \(0.805477\pi\) | |||||||
\(620\) | −13.5582 | −0.544509 | ||||||||
\(621\) | 0.744336 | + | 80.9848i | 0.0298692 | + | 3.24981i | ||||
\(622\) | −0.355853 | −0.0142684 | ||||||||
\(623\) | 2.98152 | + | 1.91610i | 0.119452 | + | 0.0767671i | ||||
\(624\) | −1.13186 | − | 7.87224i | −0.0453106 | − | 0.315142i | ||||
\(625\) | −12.9326 | − | 28.3184i | −0.517303 | − | 1.13274i | ||||
\(626\) | −3.67851 | − | 1.08011i | −0.147023 | − | 0.0431698i | ||||
\(627\) | −22.0362 | + | 48.2524i | −0.880039 | + | 1.92702i | ||||
\(628\) | 3.66305 | − | 4.22738i | 0.146171 | − | 0.168691i | ||||
\(629\) | 0.944630 | − | 6.57005i | 0.0376649 | − | 0.261965i | ||||
\(630\) | 21.6983 | − | 6.37119i | 0.864480 | − | 0.253834i | ||||
\(631\) | 4.45135 | + | 5.13713i | 0.177205 | + | 0.204506i | 0.837403 | − | 0.546586i | \(-0.184073\pi\) |
−0.660198 | + | 0.751092i | \(0.729527\pi\) | |||||||
\(632\) | −6.92253 | + | 4.44884i | −0.275363 | + | 0.176965i | ||||
\(633\) | −11.2860 | + | 7.25305i | −0.448577 | + | 0.288283i | ||||
\(634\) | −15.2142 | − | 17.5581i | −0.604231 | − | 0.697320i | ||||
\(635\) | −48.1050 | + | 14.1249i | −1.90899 | + | 0.560530i | ||||
\(636\) | 6.70815 | − | 46.6562i | 0.265995 | − | 1.85004i | ||||
\(637\) | −1.56505 | + | 1.80616i | −0.0620095 | + | 0.0715628i | ||||
\(638\) | 5.64320 | − | 12.3569i | 0.223417 | − | 0.489214i | ||||
\(639\) | 57.3449 | + | 16.8380i | 2.26853 | + | 0.666100i | ||||
\(640\) | 1.16345 | + | 2.54761i | 0.0459895 | + | 0.100703i | ||||
\(641\) | 3.81176 | + | 26.5114i | 0.150555 | + | 1.04714i | 0.915291 | + | 0.402792i | \(0.131960\pi\) |
−0.764736 | + | 0.644344i | \(0.777131\pi\) | |||||||
\(642\) | 9.69650 | + | 6.23156i | 0.382690 | + | 0.245940i | ||||
\(643\) | 15.6295 | 0.616367 | 0.308184 | − | 0.951327i | \(-0.400279\pi\) | ||||
0.308184 | + | 0.951327i | \(0.400279\pi\) | |||||||
\(644\) | 3.65316 | + | 3.10716i | 0.143955 | + | 0.122439i | ||||
\(645\) | 35.3792 | 1.39305 | ||||||||
\(646\) | 13.8682 | + | 8.91256i | 0.545638 | + | 0.350660i | ||||
\(647\) | 1.76065 | + | 12.2456i | 0.0692184 | + | 0.481425i | 0.994715 | + | 0.102670i | \(0.0327386\pi\) |
−0.925497 | + | 0.378755i | \(0.876352\pi\) | |||||||
\(648\) | 13.2826 | + | 29.0849i | 0.521791 | + | 1.14256i | ||||
\(649\) | 28.0450 | + | 8.23477i | 1.10086 | + | 0.323243i | ||||
\(650\) | 2.82345 | − | 6.18249i | 0.110745 | − | 0.242497i | ||||
\(651\) | −10.5498 | + | 12.1752i | −0.413481 | + | 0.477182i | ||||
\(652\) | −0.846261 | + | 5.88587i | −0.0331421 | + | 0.230509i | ||||
\(653\) | −3.50121 | + | 1.02805i | −0.137013 | + | 0.0402307i | −0.349520 | − | 0.936929i | \(-0.613655\pi\) |
0.212507 | + | 0.977160i | \(0.431837\pi\) | |||||||
\(654\) | 12.5247 | + | 14.4543i | 0.489754 | + | 0.565206i | ||||
\(655\) | 25.0293 | − | 16.0854i | 0.977976 | − | 0.628507i | ||||
\(656\) | −9.00862 | + | 5.78949i | −0.351728 | + | 0.226042i | ||||
\(657\) | −13.7747 | − | 15.8968i | −0.537401 | − | 0.620194i | ||||
\(658\) | 4.49448 | − | 1.31970i | 0.175213 | − | 0.0514472i | ||||
\(659\) | 1.66938 | − | 11.6108i | 0.0650296 | − | 0.452291i | −0.931127 | − | 0.364696i | \(-0.881173\pi\) |
0.996156 | − | 0.0875948i | \(-0.0279181\pi\) | |||||||
\(660\) | −14.7929 | + | 17.0719i | −0.575813 | + | 0.664524i | ||||
\(661\) | −14.6495 | + | 32.0778i | −0.569798 | + | 1.24768i | 0.377107 | + | 0.926170i | \(0.376919\pi\) |
−0.946905 | + | 0.321513i | \(0.895809\pi\) | |||||||
\(662\) | 21.9911 | + | 6.45717i | 0.854709 | + | 0.250965i | ||||
\(663\) | −8.28136 | − | 18.1337i | −0.321622 | − | 0.704253i | ||||
\(664\) | −2.40497 | − | 16.7269i | −0.0933310 | − | 0.649131i | ||||
\(665\) | 15.4956 | + | 9.95844i | 0.600895 | + | 0.386172i | ||||
\(666\) | 21.3821 | 0.828540 | ||||||||
\(667\) | 20.1520 | − | 17.7887i | 0.780290 | − | 0.688783i | ||||
\(668\) | 23.3414 | 0.903104 | ||||||||
\(669\) | 16.6604 | + | 10.7070i | 0.644127 | + | 0.413955i | ||||
\(670\) | 1.66234 | + | 11.5619i | 0.0642219 | + | 0.446673i | ||||
\(671\) | −2.56233 | − | 5.61071i | −0.0989176 | − | 0.216599i | ||||
\(672\) | 3.19304 | + | 0.937561i | 0.123174 | + | 0.0361672i | ||||
\(673\) | 7.64239 | − | 16.7345i | 0.294593 | − | 0.645068i | −0.703234 | − | 0.710958i | \(-0.748262\pi\) |
0.997827 | + | 0.0658904i | \(0.0209888\pi\) | |||||||
\(674\) | −0.949424 | + | 1.09569i | −0.0365705 | + | 0.0422046i | ||||
\(675\) | −6.83481 | + | 47.5371i | −0.263072 | + | 1.82970i | ||||
\(676\) | 6.99316 | − | 2.05338i | 0.268968 | − | 0.0789761i | ||||
\(677\) | −13.5695 | − | 15.6601i | −0.521519 | − | 0.601865i | 0.432492 | − | 0.901638i | \(-0.357635\pi\) |
−0.954011 | + | 0.299773i | \(0.903089\pi\) | |||||||
\(678\) | −11.9447 | + | 7.67638i | −0.458733 | + | 0.294810i | ||||
\(679\) | −7.19755 | + | 4.62558i | −0.276217 | + | 0.177514i | ||||
\(680\) | 4.59720 | + | 5.30545i | 0.176295 | + | 0.203455i | ||||
\(681\) | 41.2419 | − | 12.1097i | 1.58039 | − | 0.464046i | ||||
\(682\) | 1.66978 | − | 11.6136i | 0.0639392 | − | 0.444707i | ||||
\(683\) | −25.7905 | + | 29.7639i | −0.986848 | + | 1.13888i | 0.00346034 | + | 0.999994i | \(0.498899\pi\) |
−0.990308 | + | 0.138889i | \(0.955647\pi\) | |||||||
\(684\) | −22.0605 | + | 48.3057i | −0.843503 | + | 1.84701i | ||||
\(685\) | 18.4260 | + | 5.41036i | 0.704021 | + | 0.206719i | ||||
\(686\) | −0.415415 | − | 0.909632i | −0.0158606 | − | 0.0347299i | ||||
\(687\) | −5.95667 | − | 41.4296i | −0.227261 | − | 1.58064i | ||||
\(688\) | 3.19334 | + | 2.05224i | 0.121745 | + | 0.0782408i | ||||
\(689\) | −33.8508 | −1.28961 | ||||||||
\(690\) | −40.4868 | + | 18.9413i | −1.54131 | + | 0.721084i | ||||
\(691\) | 9.46095 | 0.359912 | 0.179956 | − | 0.983675i | \(-0.442405\pi\) | ||||
0.179956 | + | 0.983675i | \(0.442405\pi\) | |||||||
\(692\) | −1.98537 | − | 1.27592i | −0.0754725 | − | 0.0485032i | ||||
\(693\) | 2.78511 | + | 19.3709i | 0.105798 | + | 0.735838i | ||||
\(694\) | 13.7321 | + | 30.0692i | 0.521265 | + | 1.14141i | ||||
\(695\) | −44.0299 | − | 12.9283i | −1.67015 | − | 0.490400i | ||||
\(696\) | 7.74842 | − | 16.9667i | 0.293703 | − | 0.643120i | ||||
\(697\) | −17.5775 | + | 20.2856i | −0.665797 | + | 0.768371i | ||||
\(698\) | 0.507913 | − | 3.53261i | 0.0192248 | − | 0.133711i | ||||
\(699\) | 39.8473 | − | 11.7002i | 1.50716 | − | 0.442543i | ||||
\(700\) | 1.86237 | + | 2.14930i | 0.0703912 | + | 0.0812357i | ||||
\(701\) | 8.39684 | − | 5.39632i | 0.317144 | − | 0.203816i | −0.372377 | − | 0.928081i | \(-0.621457\pi\) |
0.689522 | + | 0.724265i | \(0.257821\pi\) | |||||||
\(702\) | 33.9519 | − | 21.8196i | 1.28143 | − | 0.823526i | ||||
\(703\) | 11.4051 | + | 13.1622i | 0.430151 | + | 0.496420i | ||||
\(704\) | −2.32550 | + | 0.682830i | −0.0876457 | + | 0.0257351i | ||||
\(705\) | −6.21322 | + | 43.2139i | −0.234004 | + | 1.62753i | ||||
\(706\) | 23.7862 | − | 27.4508i | 0.895206 | − | 1.03312i | ||||
\(707\) | −2.12636 | + | 4.65608i | −0.0799700 | + | 0.175110i | ||||
\(708\) | 38.5073 | + | 11.3068i | 1.44719 | + | 0.424934i | ||||
\(709\) | −2.66252 | − | 5.83011i | −0.0999931 | − | 0.218954i | 0.853023 | − | 0.521873i | \(-0.174766\pi\) |
−0.953017 | + | 0.302918i | \(0.902039\pi\) | |||||||
\(710\) | 2.95021 | + | 20.5191i | 0.110719 | + | 0.770070i | ||||
\(711\) | −55.8961 | − | 35.9223i | −2.09627 | − | 1.34719i | ||||
\(712\) | −3.54413 | −0.132822 | ||||||||
\(713\) | 12.3718 | − | 19.6456i | 0.463327 | − | 0.735732i | ||||
\(714\) | 8.34143 | 0.312170 | ||||||||
\(715\) | 13.6473 | + | 8.77061i | 0.510382 | + | 0.328002i | ||||
\(716\) | 1.97706 | + | 13.7508i | 0.0738864 | + | 0.513891i | ||||
\(717\) | −1.10986 | − | 2.43025i | −0.0414484 | − | 0.0907593i | ||||
\(718\) | 4.70224 | + | 1.38070i | 0.175486 | + | 0.0515274i | ||||
\(719\) | −6.11427 | + | 13.3884i | −0.228024 | + | 0.499302i | −0.988714 | − | 0.149812i | \(-0.952133\pi\) |
0.760691 | + | 0.649114i | \(0.224860\pi\) | |||||||
\(720\) | −14.8092 | + | 17.0908i | −0.551908 | + | 0.636935i | ||||
\(721\) | −1.36849 | + | 9.51808i | −0.0509653 | + | 0.354472i | ||||
\(722\) | −23.2720 | + | 6.83329i | −0.866096 | + | 0.254309i | ||||
\(723\) | −30.9446 | − | 35.7120i | −1.15084 | − | 1.32814i | ||||
\(724\) | 3.94261 | − | 2.53376i | 0.146526 | − | 0.0941664i | ||||
\(725\) | 13.4095 | − | 8.61778i | 0.498017 | − | 0.320056i | ||||
\(726\) | 11.1705 | + | 12.8914i | 0.414575 | + | 0.478445i | ||||
\(727\) | −5.09809 | + | 1.49693i | −0.189078 | + | 0.0555182i | −0.374901 | − | 0.927065i | \(-0.622323\pi\) |
0.185823 | + | 0.982583i | \(0.440505\pi\) | |||||||
\(728\) | 0.340118 | − | 2.36557i | 0.0126056 | − | 0.0876739i | ||||
\(729\) | −58.6650 | + | 67.7030i | −2.17278 | + | 2.50752i | ||||
\(730\) | 3.03085 | − | 6.63663i | 0.112177 | − | 0.245633i | ||||
\(731\) | 9.12932 | + | 2.68061i | 0.337660 | + | 0.0991460i | ||||
\(732\) | −3.51821 | − | 7.70381i | −0.130037 | − | 0.284741i | ||||
\(733\) | −6.22433 | − | 43.2912i | −0.229901 | − | 1.59900i | −0.698516 | − | 0.715594i | \(-0.746156\pi\) |
0.468615 | − | 0.883402i | \(-0.344753\pi\) | |||||||
\(734\) | −5.33127 | − | 3.42620i | −0.196781 | − | 0.126463i | ||||
\(735\) | 9.32029 | 0.343784 | ||||||||
\(736\) | −4.75309 | − | 0.638861i | −0.175201 | − | 0.0235487i | ||||
\(737\) | −10.1083 | −0.372345 | ||||||||
\(738\) | −72.7403 | − | 46.7474i | −2.67761 | − | 1.72079i | ||||
\(739\) | −4.33325 | − | 30.1384i | −0.159401 | − | 1.10866i | −0.899740 | − | 0.436425i | \(-0.856244\pi\) |
0.740339 | − | 0.672233i | \(-0.234665\pi\) | |||||||
\(740\) | 3.08093 | + | 6.74631i | 0.113257 | + | 0.247999i | ||||
\(741\) | 50.1879 | + | 14.7365i | 1.84370 | + | 0.541359i | ||||
\(742\) | 5.88399 | − | 12.8841i | 0.216008 | − | 0.472992i | ||||
\(743\) | 8.93234 | − | 10.3085i | 0.327696 | − | 0.378181i | −0.567864 | − | 0.823123i | \(-0.692230\pi\) |
0.895560 | + | 0.444941i | \(0.146775\pi\) | |||||||
\(744\) | 2.29270 | − | 15.9461i | 0.0840544 | − | 0.584611i | ||||
\(745\) | −12.2917 | + | 3.60916i | −0.450331 | + | 0.132229i | ||||
\(746\) | −3.38786 | − | 3.90980i | −0.124038 | − | 0.143148i | ||||
\(747\) | 114.790 | − | 73.7709i | 4.19994 | − | 2.69914i | ||||
\(748\) | −5.11070 | + | 3.28445i | −0.186866 | + | 0.120091i | ||||
\(749\) | 2.26816 | + | 2.61760i | 0.0828769 | + | 0.0956451i | ||||
\(750\) | 19.2812 | − | 5.66148i | 0.704051 | − | 0.206728i | ||||
\(751\) | −3.54246 | + | 24.6384i | −0.129266 | + | 0.899067i | 0.817221 | + | 0.576325i | \(0.195514\pi\) |
−0.946487 | + | 0.322742i | \(0.895395\pi\) | |||||||
\(752\) | −3.06751 | + | 3.54010i | −0.111861 | + | 0.129094i | ||||
\(753\) | 34.9583 | − | 76.5481i | 1.27395 | − | 2.78957i | ||||
\(754\) | −12.8525 | − | 3.77385i | −0.468062 | − | 0.137435i | ||||
\(755\) | −15.0595 | − | 32.9756i | −0.548070 | − | 1.20011i | ||||
\(756\) | 2.40330 | + | 16.7153i | 0.0874072 | + | 0.607930i | ||||
\(757\) | 15.6588 | + | 10.0633i | 0.569130 | + | 0.365758i | 0.793336 | − | 0.608784i | \(-0.208342\pi\) |
−0.224206 | + | 0.974542i | \(0.571979\pi\) | |||||||
\(758\) | −9.25137 | −0.336025 | ||||||||
\(759\) | −11.2384 | − | 37.0128i | −0.407930 | − | 1.34348i | ||||
\(760\) | −18.4197 | −0.668153 | ||||||||
\(761\) | −13.9980 | − | 8.99597i | −0.507427 | − | 0.326104i | 0.261754 | − | 0.965135i | \(-0.415699\pi\) |
−0.769181 | + | 0.639031i | \(0.779336\pi\) | |||||||
\(762\) | −8.47802 | − | 58.9659i | −0.307126 | − | 2.13611i | ||||
\(763\) | 2.38747 | + | 5.22783i | 0.0864322 | + | 0.189260i | ||||
\(764\) | −7.81441 | − | 2.29452i | −0.282716 | − | 0.0830128i | ||||
\(765\) | −23.5474 | + | 51.5617i | −0.851360 | + | 1.86422i | ||||
\(766\) | −20.2266 | + | 23.3427i | −0.730816 | + | 0.843406i | ||||
\(767\) | 4.10174 | − | 28.5282i | 0.148105 | − | 1.03010i | ||||
\(768\) | −3.19304 | + | 0.937561i | −0.115219 | + | 0.0338313i | ||||
\(769\) | 18.2848 | + | 21.1018i | 0.659367 | + | 0.760950i | 0.982674 | − | 0.185344i | \(-0.0593400\pi\) |
−0.323307 | + | 0.946294i | \(0.604795\pi\) | |||||||
\(770\) | −5.71043 | + | 3.66987i | −0.205790 | + | 0.132253i | ||||
\(771\) | 43.5674 | − | 27.9991i | 1.56904 | − | 1.00836i | ||||
\(772\) | −1.11303 | − | 1.28451i | −0.0400590 | − | 0.0462305i | ||||
\(773\) | 7.34432 | − | 2.15649i | 0.264157 | − | 0.0775634i | −0.146972 | − | 0.989141i | \(-0.546953\pi\) |
0.411129 | + | 0.911577i | \(0.365135\pi\) | |||||||
\(774\) | −4.36200 | + | 30.3384i | −0.156789 | + | 1.09049i | ||||
\(775\) | 9.01574 | − | 10.4047i | 0.323855 | − | 0.373748i | ||||
\(776\) | 3.55418 | − | 7.78258i | 0.127588 | − | 0.279378i | ||||
\(777\) | 8.45547 | + | 2.48275i | 0.303338 | + | 0.0890682i | ||||
\(778\) | 6.61979 | + | 14.4953i | 0.237331 | + | 0.519682i | ||||
\(779\) | −10.0230 | − | 69.7114i | −0.359111 | − | 2.49767i | ||||
\(780\) | 18.7385 | + | 12.0425i | 0.670947 | + | 0.431191i | ||||
\(781\) | −17.9395 | −0.641927 | ||||||||
\(782\) | −11.8825 | + | 1.82006i | −0.424916 | + | 0.0650851i | ||||
\(783\) | 94.6512 | 3.38256 | ||||||||
\(784\) | 0.841254 | + | 0.540641i | 0.0300448 | + | 0.0193086i | ||||
\(785\) | 2.22952 | + | 15.5066i | 0.0795748 | + | 0.553455i | ||||
\(786\) | 14.6859 | + | 32.1576i | 0.523828 | + | 1.14702i | ||||
\(787\) | −2.50303 | − | 0.734956i | −0.0892234 | − | 0.0261984i | 0.236816 | − | 0.971554i | \(-0.423896\pi\) |
−0.326040 | + | 0.945356i | \(0.605714\pi\) | |||||||
\(788\) | −1.57645 | + | 3.45195i | −0.0561589 | + | 0.122971i | ||||
\(789\) | −14.0975 | + | 16.2694i | −0.501884 | + | 0.579205i | ||||
\(790\) | 3.27986 | − | 22.8119i | 0.116692 | − | 0.811611i | ||||
\(791\) | −4.09380 | + | 1.20205i | −0.145559 | + | 0.0427399i | ||||
\(792\) | −12.8157 | − | 14.7901i | −0.455385 | − | 0.525542i | ||||
\(793\) | −5.11662 | + | 3.28825i | −0.181697 | + | 0.116769i | ||||
\(794\) | 13.8345 | − | 8.89091i | 0.490969 | − | 0.315527i | ||||
\(795\) | 86.4506 | + | 99.7693i | 3.06609 | + | 3.53845i | ||||
\(796\) | 21.0604 | − | 6.18389i | 0.746465 | − | 0.219182i | ||||
\(797\) | −6.08892 | + | 42.3494i | −0.215681 | + | 1.50009i | 0.538052 | + | 0.842912i | \(0.319160\pi\) |
−0.753733 | + | 0.657181i | \(0.771749\pi\) | |||||||
\(798\) | −14.3327 | + | 16.5408i | −0.507371 | + | 0.585538i | ||||
\(799\) | −4.87750 | + | 10.6802i | −0.172554 | + | 0.377840i | ||||
\(800\) | −2.72873 | − | 0.801226i | −0.0964750 | − | 0.0283276i | ||||
\(801\) | −11.8880 | − | 26.0311i | −0.420042 | − | 0.919764i | ||||
\(802\) | −1.00226 | − | 6.97089i | −0.0353911 | − | 0.246151i | ||||
\(803\) | 5.31150 | + | 3.41350i | 0.187439 | + | 0.120460i | ||||
\(804\) | −13.8793 | −0.489484 | ||||||||
\(805\) | −13.2768 | + | 2.03364i | −0.467947 | + | 0.0716763i | ||||
\(806\) | −11.5695 | −0.407517 | ||||||||
\(807\) | −42.8630 | − | 27.5464i | −1.50885 | − | 0.969678i | ||||
\(808\) | −0.728458 | − | 5.06654i | −0.0256271 | − | 0.178240i | ||||
\(809\) | 2.95511 | + | 6.47079i | 0.103896 | + | 0.227501i | 0.954440 | − | 0.298404i | \(-0.0964541\pi\) |
−0.850544 | + | 0.525905i | \(0.823727\pi\) | |||||||
\(810\) | −85.9232 | − | 25.2293i | −3.01903 | − | 0.886468i | ||||
\(811\) | −17.1789 | + | 37.6166i | −0.603233 | + | 1.32090i | 0.323874 | + | 0.946100i | \(0.395014\pi\) |
−0.927107 | + | 0.374796i | \(0.877713\pi\) | |||||||
\(812\) | 3.67043 | − | 4.23590i | 0.128807 | − | 0.148651i | ||||
\(813\) | −1.13159 | + | 7.87039i | −0.0396866 | + | 0.276027i | ||||
\(814\) | −6.15816 | + | 1.80820i | −0.215843 | + | 0.0633773i | ||||
\(815\) | −10.9061 | − | 12.5863i | −0.382024 | − | 0.440879i | ||||
\(816\) | −7.01726 | + | 4.50972i | −0.245653 | + | 0.157872i | ||||
\(817\) | −21.0020 | + | 13.4972i | −0.734768 | + | 0.472207i | ||||
\(818\) | 0.130809 | + | 0.150961i | 0.00457362 | + | 0.00527824i | ||||
\(819\) | 18.5156 | − | 5.43667i | 0.646988 | − | 0.189973i | ||||
\(820\) | 4.26823 | − | 29.6862i | 0.149053 | − | 1.03669i | ||||
\(821\) | −11.1622 | + | 12.8819i | −0.389564 | + | 0.449581i | −0.916327 | − | 0.400432i | \(-0.868860\pi\) |
0.526763 | + | 0.850012i | \(0.323406\pi\) | |||||||
\(822\) | −9.47909 | + | 20.7563i | −0.330621 | + | 0.723960i | ||||
\(823\) | −7.32675 | − | 2.15133i | −0.255394 | − | 0.0749905i | 0.151529 | − | 0.988453i | \(-0.451580\pi\) |
−0.406923 | + | 0.913462i | \(0.633398\pi\) | |||||||
\(824\) | −3.99461 | − | 8.74698i | −0.139159 | − | 0.304715i | ||||
\(825\) | −3.26442 | − | 22.7045i | −0.113653 | − | 0.790471i | ||||
\(826\) | 10.1453 | + | 6.52000i | 0.353001 | + | 0.226860i | ||||
\(827\) | −45.0115 | −1.56520 | −0.782601 | − | 0.622523i | \(-0.786108\pi\) | ||||
−0.782601 | + | 0.622523i | \(0.786108\pi\) | |||||||
\(828\) | −11.2508 | − | 37.0536i | −0.390994 | − | 1.28770i | ||||
\(829\) | 41.2142 | 1.43143 | 0.715714 | − | 0.698394i | \(-0.246102\pi\) | ||||
0.715714 | + | 0.698394i | \(0.246102\pi\) | |||||||
\(830\) | 39.8156 | + | 25.5879i | 1.38202 | + | 0.888170i | ||||
\(831\) | 14.6818 | + | 102.114i | 0.509306 | + | 3.54230i | ||||
\(832\) | 0.992799 | + | 2.17393i | 0.0344191 | + | 0.0753673i | ||||
\(833\) | 2.40503 | + | 0.706179i | 0.0833292 | + | 0.0244677i | ||||
\(834\) | 22.6508 | − | 49.5983i | 0.784333 | − | 1.71745i | ||||
\(835\) | −42.8097 | + | 49.4050i | −1.48149 | + | 1.70973i | ||||
\(836\) | 2.26851 | − | 15.7779i | 0.0784582 | − | 0.545688i | ||||
\(837\) | 78.4393 | − | 23.0319i | 2.71126 | − | 0.796097i | ||||
\(838\) | −12.1856 | − | 14.0630i | −0.420946 | − | 0.485798i | ||||
\(839\) | −3.39211 | + | 2.17998i | −0.117109 | + | 0.0752612i | −0.597884 | − | 0.801583i | \(-0.703992\pi\) |
0.480775 | + | 0.876844i | \(0.340355\pi\) | |||||||
\(840\) | −7.84072 | + | 5.03893i | −0.270531 | + | 0.173860i | ||||
\(841\) | −1.58146 | − | 1.82510i | −0.0545331 | − | 0.0629345i | ||||
\(842\) | 31.1366 | − | 9.14252i | 1.07304 | − | 0.315072i | ||||
\(843\) | −6.45530 | + | 44.8976i | −0.222332 | + | 1.54635i | ||||
\(844\) | 2.63997 | − | 3.04668i | 0.0908714 | − | 0.104871i | ||||
\(845\) | −8.47970 | + | 18.5680i | −0.291711 | + | 0.638757i | ||||
\(846\) | −36.2908 | − | 10.6559i | −1.24770 | − | 0.366359i | ||||
\(847\) | 2.12932 | + | 4.66257i | 0.0731644 | + | 0.160208i | ||||
\(848\) | 2.01577 | + | 14.0200i | 0.0692217 | + | 0.481447i | ||||
\(849\) | 61.3809 | + | 39.4471i | 2.10659 | + | 1.35382i | ||||
\(850\) | −7.12847 | −0.244504 | ||||||||
\(851\) | −12.5866 | − | 1.69176i | −0.431464 | − | 0.0579929i | ||||
\(852\) | −24.6319 | −0.843876 | ||||||||
\(853\) | 0.606069 | + | 0.389497i | 0.0207514 | + | 0.0133361i | 0.550975 | − | 0.834521i | \(-0.314256\pi\) |
−0.530224 | + | 0.847858i | \(0.677892\pi\) | |||||||
\(854\) | −0.362182 | − | 2.51903i | −0.0123936 | − | 0.0861996i | ||||
\(855\) | −61.7848 | − | 135.290i | −2.11300 | − | 4.62681i | ||||
\(856\) | −3.32328 | − | 0.975804i | −0.113587 | − | 0.0333523i | ||||
\(857\) | −14.3481 | + | 31.4180i | −0.490123 | + | 1.07322i | 0.489432 | + | 0.872041i | \(0.337204\pi\) |
−0.979555 | + | 0.201177i | \(0.935523\pi\) | |||||||
\(858\) | −12.6231 | + | 14.5678i | −0.430945 | + | 0.497338i | ||||
\(859\) | 5.80418 | − | 40.3690i | 0.198036 | − | 1.37737i | −0.611938 | − | 0.790906i | \(-0.709610\pi\) |
0.809974 | − | 0.586466i | \(-0.199481\pi\) | |||||||
\(860\) | −10.2006 | + | 2.99518i | −0.347839 | + | 0.102135i | ||||
\(861\) | −23.3369 | − | 26.9322i | −0.795319 | − | 0.917847i | ||||
\(862\) | 25.5753 | − | 16.4363i | 0.871098 | − | 0.559821i | ||||
\(863\) | 34.5508 | − | 22.2045i | 1.17612 | − | 0.755849i | 0.201454 | − | 0.979498i | \(-0.435433\pi\) |
0.974670 | + | 0.223649i | \(0.0717969\pi\) | |||||||
\(864\) | −11.0588 | − | 12.7625i | −0.376227 | − | 0.434189i | ||||
\(865\) | 6.34196 | − | 1.86217i | 0.215633 | − | 0.0633156i | ||||
\(866\) | 1.81173 | − | 12.6008i | 0.0615650 | − | 0.428194i | ||||
\(867\) | 23.3556 | − | 26.9538i | 0.793198 | − | 0.915399i | ||||
\(868\) | 2.01102 | − | 4.40352i | 0.0682585 | − | 0.149465i | ||||
\(869\) | 19.1362 | + | 5.61889i | 0.649150 | + | 0.190608i | ||||
\(870\) | 21.7010 | + | 47.5186i | 0.735733 | + | 1.61103i | ||||
\(871\) | 1.41851 | + | 9.86597i | 0.0480645 | + | 0.334296i | ||||
\(872\) | −4.83484 | − | 3.10716i | −0.163728 | − | 0.105222i | ||||
\(873\) | 69.0835 | 2.33812 | ||||||||
\(874\) | 16.8079 | − | 26.6898i | 0.568537 | − | 0.902797i | ||||
\(875\) | 6.03852 | 0.204139 | ||||||||
\(876\) | 7.29297 | + | 4.68691i | 0.246407 | + | 0.158356i | ||||
\(877\) | −0.976555 | − | 6.79209i | −0.0329759 | − | 0.229353i | 0.966668 | − | 0.256033i | \(-0.0824155\pi\) |
−0.999644 | + | 0.0266802i | \(0.991506\pi\) | |||||||
\(878\) | 2.36727 | + | 5.18360i | 0.0798915 | + | 0.174938i | ||||
\(879\) | −72.8377 | − | 21.3871i | −2.45675 | − | 0.721368i | ||||
\(880\) | 2.81984 | − | 6.17458i | 0.0950567 | − | 0.208145i | ||||
\(881\) | −35.6230 | + | 41.1112i | −1.20017 | + | 1.38507i | −0.297509 | + | 0.954719i | \(0.596156\pi\) |
−0.902661 | + | 0.430352i | \(0.858390\pi\) | |||||||
\(882\) | −1.14912 | + | 7.99234i | −0.0386930 | + | 0.269116i | ||||
\(883\) | −52.5289 | + | 15.4239i | −1.76774 | + | 0.519055i | −0.993499 | − | 0.113839i | \(-0.963685\pi\) |
−0.774238 | + | 0.632894i | \(0.781867\pi\) | |||||||
\(884\) | 3.92289 | + | 4.52726i | 0.131941 | + | 0.152268i | ||||
\(885\) | −94.5573 | + | 60.7683i | −3.17851 | + | 2.04270i | ||||
\(886\) | −25.8816 | + | 16.6331i | −0.869510 | + | 0.558800i | ||||
\(887\) | −3.68191 | − | 4.24915i | −0.123626 | − | 0.142672i | 0.690562 | − | 0.723273i | \(-0.257363\pi\) |
−0.814188 | + | 0.580601i | \(0.802818\pi\) | |||||||
\(888\) | −8.45547 | + | 2.48275i | −0.283747 | + | 0.0833157i | ||||
\(889\) | 2.54760 | − | 17.7190i | 0.0854439 | − | 0.594275i | ||||
\(890\) | 6.50019 | − | 7.50162i | 0.217887 | − | 0.251455i | ||||
\(891\) | 32.1928 | − | 70.4925i | 1.07850 | − | 2.36159i | ||||
\(892\) | −5.71001 | − | 1.67661i | −0.191185 | − | 0.0561371i | ||||
\(893\) | −12.7978 | − | 28.0233i | −0.428262 | − | 0.937763i | ||||
\(894\) | −2.16628 | − | 15.0668i | −0.0724512 | − | 0.503909i | ||||
\(895\) | −32.7314 | − | 21.0352i | −1.09409 | − | 0.703129i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −34.5483 | + | 16.1630i | −1.15353 | + | 0.539668i | ||||
\(898\) | −25.3876 | −0.847195 | ||||||||
\(899\) | −22.8260 | − | 14.6694i | −0.761289 | − | 0.489251i | ||||
\(900\) | −3.26802 | − | 22.7296i | −0.108934 | − | 0.757654i | ||||
\(901\) | 14.7486 | + | 32.2949i | 0.491346 | + | 1.07590i | ||||
\(902\) | 24.9028 | + | 7.31213i | 0.829173 | + | 0.243467i | ||||
\(903\) | −5.24763 | + | 11.4907i | −0.174630 | + | 0.382387i | ||||
\(904\) | 2.79405 | − | 3.22450i | 0.0929287 | − | 0.107245i | ||||
\(905\) | −1.86798 | + | 12.9921i | −0.0620939 | + | 0.431873i | ||||
\(906\) | 41.3300 | − | 12.1356i | 1.37310 | − | 0.403177i | ||||
\(907\) | 25.8584 | + | 29.8422i | 0.858615 | + | 0.990895i | 1.00000 | 0.000939896i | \(0.000299178\pi\) | |
−0.141384 | + | 0.989955i | \(0.545155\pi\) | |||||||
\(908\) | −10.8658 | + | 6.98302i | −0.360594 | + | 0.231740i | ||||
\(909\) | 34.7695 | − | 22.3450i | 1.15323 | − | 0.741137i | ||||
\(910\) | 4.38324 | + | 5.05852i | 0.145303 | + | 0.167688i | ||||
\(911\) | −0.385140 | + | 0.113087i | −0.0127603 | + | 0.00374675i | −0.288106 | − | 0.957598i | \(-0.593026\pi\) |
0.275346 | + | 0.961345i | \(0.411208\pi\) | |||||||
\(912\) | 3.11479 | − | 21.6638i | 0.103141 | − | 0.717361i | ||||
\(913\) | −26.8215 | + | 30.9537i | −0.887664 | + | 1.02442i | ||||
\(914\) | −1.64369 | + | 3.59919i | −0.0543686 | + | 0.119051i | ||||
\(915\) | 22.7587 | + | 6.68257i | 0.752381 | + | 0.220919i | ||||
\(916\) | 5.22484 | + | 11.4408i | 0.172634 | + | 0.378015i | ||||
\(917\) | 1.51184 | + | 10.5151i | 0.0499253 | + | 0.347238i | ||||
\(918\) | −35.6092 | − | 22.8847i | −1.17528 | − | 0.755307i | ||||
\(919\) | 23.5549 | 0.777005 | 0.388502 | − | 0.921448i | \(-0.372993\pi\) | ||||
0.388502 | + | 0.921448i | \(0.372993\pi\) | |||||||
\(920\) | 10.0697 | − | 8.88881i | 0.331989 | − | 0.293055i | ||||
\(921\) | 22.9265 | 0.755455 | ||||||||
\(922\) | −21.1019 | − | 13.5614i | −0.694955 | − | 0.446621i | ||||
\(923\) | 2.51747 | + | 17.5094i | 0.0828637 | + | 0.576330i | ||||
\(924\) | −3.35058 | − | 7.33675i | −0.110226 | − | 0.241361i | ||||
\(925\) | −7.22593 | − | 2.12172i | −0.237587 | − | 0.0697618i | ||||
\(926\) | 10.2745 | − | 22.4980i | 0.337640 | − | 0.739329i | ||||
\(927\) | 50.8462 | − | 58.6796i | 1.67001 | − | 1.92729i | ||||
\(928\) | −0.797661 | + | 5.54785i | −0.0261845 | + | 0.182117i | ||||
\(929\) | −2.71314 | + | 0.796649i | −0.0890151 | + | 0.0261372i | −0.325937 | − | 0.945392i | \(-0.605680\pi\) |
0.236922 | + | 0.971529i | \(0.423861\pi\) | |||||||
\(930\) | 29.5469 | + | 34.0990i | 0.968882 | + | 1.11815i | ||||
\(931\) | −5.53277 | + | 3.55570i | −0.181329 | + | 0.116533i | ||||
\(932\) | −10.4984 | + | 6.74688i | −0.343885 | + | 0.221001i | ||||
\(933\) | 0.775500 | + | 0.894974i | 0.0253887 | + | 0.0293001i | ||||
\(934\) | −9.99871 | + | 2.93589i | −0.327168 | + | 0.0960651i | ||||
\(935\) | 2.42142 | − | 16.8413i | 0.0791889 | − | 0.550771i | ||||
\(936\) | −12.6370 | + | 14.5839i | −0.413054 | + | 0.476690i | ||||
\(937\) | 6.64289 | − | 14.5459i | 0.217014 | − | 0.475194i | −0.769547 | − | 0.638591i | \(-0.779518\pi\) |
0.986560 | + | 0.163397i | \(0.0522450\pi\) | |||||||
\(938\) | −4.00171 | − | 1.17501i | −0.130660 | − | 0.0383654i | ||||
\(939\) | 5.29999 | + | 11.6054i | 0.172959 | + | 0.378726i | ||||
\(940\) | −1.86704 | − | 12.9856i | −0.0608962 | − | 0.423543i | ||||
\(941\) | 31.7621 | + | 20.4122i | 1.03541 | + | 0.665420i | 0.943848 | − | 0.330379i | \(-0.107177\pi\) |
0.0915653 | + | 0.995799i | \(0.470813\pi\) | |||||||
\(942\) | −18.6147 | −0.606500 | ||||||||
\(943\) | 39.1201 | + | 33.2732i | 1.27393 | + | 1.08352i | ||||
\(944\) | −12.0598 | −0.392512 | ||||||||
\(945\) | −39.7879 | − | 25.5702i | −1.29430 | − | 0.831797i | ||||
\(946\) | −1.30932 | − | 9.10649i | −0.0425695 | − | 0.296077i | ||||
\(947\) | 8.85053 | + | 19.3800i | 0.287604 | + | 0.629764i | 0.997195 | − | 0.0748494i | \(-0.0238476\pi\) |
−0.709591 | + | 0.704614i | \(0.751120\pi\) | |||||||
\(948\) | 26.2750 | + | 7.71503i | 0.853371 | + | 0.250572i | ||||
\(949\) | 2.58629 | − | 5.66318i | 0.0839544 | − | 0.183835i | ||||
\(950\) | 12.2485 | − | 14.1355i | 0.397394 | − | 0.458617i | ||||
\(951\) | −11.0030 | + | 76.5276i | −0.356797 | + | 2.48158i | ||||
\(952\) | −2.40503 | + | 0.706179i | −0.0779473 | + | 0.0228874i | ||||
\(953\) | 29.6192 | + | 34.1824i | 0.959460 | + | 1.10728i | 0.994164 | + | 0.107878i | \(0.0344057\pi\) |
−0.0347040 | + | 0.999398i | \(0.511049\pi\) | |||||||
\(954\) | −96.2130 | + | 61.8323i | −3.11501 | + | 2.00190i | ||||
\(955\) | 19.1888 | − | 12.3319i | 0.620936 | − | 0.399051i | ||||
\(956\) | 0.525740 | + | 0.606737i | 0.0170037 | + | 0.0196233i | ||||
\(957\) | −43.3758 | + | 12.7363i | −1.40214 | + | 0.411706i | ||||
\(958\) | −4.50301 | + | 31.3191i | −0.145486 | + | 1.01188i | ||||
\(959\) | −4.49026 | + | 5.18203i | −0.144998 | + | 0.167337i | ||||
\(960\) | 3.87179 | − | 8.47803i | 0.124961 | − | 0.273627i | ||||
\(961\) | 7.25839 | + | 2.13126i | 0.234142 | + | 0.0687502i | ||||
\(962\) | 2.62903 | + | 5.75676i | 0.0847632 | + | 0.185606i | ||||
\(963\) | −3.98009 | − | 27.6821i | −0.128257 | − | 0.892044i | ||||
\(964\) | 11.9454 | + | 7.67683i | 0.384735 | + | 0.247254i | ||||
\(965\) | 4.76021 | 0.153237 | ||||||||
\(966\) | −0.146681 | − | 15.9591i | −0.00471938 | − | 0.513475i | ||||
\(967\) | −38.6632 | −1.24332 | −0.621662 | − | 0.783285i | \(-0.713542\pi\) | ||||
−0.621662 | + | 0.783285i | \(0.713542\pi\) | |||||||
\(968\) | −4.31208 | − | 2.77120i | −0.138595 | − | 0.0890698i | ||||
\(969\) | −7.80740 | − | 54.3017i | −0.250810 | − | 1.74442i | ||||
\(970\) | 9.95420 | + | 21.7967i | 0.319610 | + | 0.699849i | ||||
\(971\) | −42.6398 | − | 12.5202i | −1.36838 | − | 0.401792i | −0.486669 | − | 0.873586i | \(-0.661788\pi\) |
−0.881709 | + | 0.471794i | \(0.843606\pi\) | |||||||
\(972\) | 23.1569 | − | 50.7065i | 0.742757 | − | 1.62641i | ||||
\(973\) | 10.7297 | − | 12.3827i | 0.343979 | − | 0.396972i | ||||
\(974\) | −4.37712 | + | 30.4435i | −0.140252 | + | 0.975474i | ||||
\(975\) | −21.7021 | + | 6.37231i | −0.695023 | + | 0.204077i | ||||
\(976\) | 1.66658 | + | 1.92334i | 0.0533459 | + | 0.0615645i | ||||
\(977\) | −12.8112 | + | 8.23327i | −0.409867 | + | 0.263406i | −0.729287 | − | 0.684208i | \(-0.760148\pi\) |
0.319420 | + | 0.947613i | \(0.396512\pi\) | |||||||
\(978\) | 16.6473 | − | 10.6986i | 0.532322 | − | 0.342102i | ||||
\(979\) | 5.62515 | + | 6.49177i | 0.179781 | + | 0.207478i | ||||
\(980\) | −2.68725 | + | 0.789049i | −0.0858411 | + | 0.0252052i | ||||
\(981\) | 6.60424 | − | 45.9335i | 0.210857 | − | 1.46654i | ||||
\(982\) | 7.71885 | − | 8.90803i | 0.246318 | − | 0.284267i | ||||
\(983\) | 5.92707 | − | 12.9785i | 0.189044 | − | 0.413949i | −0.791250 | − | 0.611493i | \(-0.790569\pi\) |
0.980294 | + | 0.197544i | \(0.0632965\pi\) | |||||||
\(984\) | 34.1929 | + | 10.0399i | 1.09003 | + | 0.320061i | ||||
\(985\) | −4.41518 | − | 9.66789i | −0.140679 | − | 0.308045i | ||||
\(986\) | 1.99938 | + | 13.9060i | 0.0636734 | + | 0.442858i | ||||
\(987\) | −13.1138 | − | 8.42770i | −0.417415 | − | 0.268257i | ||||
\(988\) | −15.7179 | −0.500054 | ||||||||
\(989\) | 4.96809 | − | 17.5136i | 0.157976 | − | 0.556902i | ||||
\(990\) | 54.8099 | 1.74197 | ||||||||
\(991\) | 3.78277 | + | 2.43104i | 0.120164 | + | 0.0772245i | 0.599342 | − | 0.800493i | \(-0.295429\pi\) |
−0.479178 | + | 0.877718i | \(0.659065\pi\) | |||||||
\(992\) | 0.688945 | + | 4.79171i | 0.0218740 | + | 0.152137i | ||||
\(993\) | −31.6847 | − | 69.3799i | −1.00548 | − | 2.20170i | ||||
\(994\) | −7.10195 | − | 2.08532i | −0.225260 | − | 0.0661423i | ||||
\(995\) | −25.5372 | + | 55.9187i | −0.809584 | + | 1.77274i | ||||
\(996\) | −36.8274 | + | 42.5011i | −1.16692 | + | 1.34670i | ||||
\(997\) | −3.91037 | + | 27.1972i | −0.123843 | + | 0.861345i | 0.829296 | + | 0.558810i | \(0.188742\pi\) |
−0.953138 | + | 0.302535i | \(0.902167\pi\) | |||||||
\(998\) | 40.0535 | − | 11.7608i | 1.26787 | − | 0.372281i | ||||
\(999\) | −29.2847 | − | 33.7963i | −0.926526 | − | 1.06927i |
(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 | 322.2.i.d.71.1 | ✓ | 40 | |
23.9 | even | 11 | 7406.2.a.bu.1.20 | 20 | |||
23.12 | even | 11 | inner | 322.2.i.d.127.1 | yes | 40 | |
23.14 | odd | 22 | 7406.2.a.bv.1.20 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.d.71.1 | ✓ | 40 | 1.1 | even | 1 | trivial | |
322.2.i.d.127.1 | yes | 40 | 23.12 | even | 11 | inner | |
7406.2.a.bu.1.20 | 20 | 23.9 | even | 11 | |||
7406.2.a.bv.1.20 | 20 | 23.14 | odd | 22 |