Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 61.13 | ||
Character | \(\chi\) | \(=\) | 144.61 |
Dual form | 144.2.x.e.85.13 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.902916 | + | 1.08846i | 0.638458 | + | 0.769657i | ||||
\(3\) | −1.15652 | + | 1.28937i | −0.667717 | + | 0.744415i | ||||
\(4\) | −0.369486 | + | 1.96557i | −0.184743 | + | 0.982787i | ||||
\(5\) | 1.21694 | + | 0.326078i | 0.544232 | + | 0.145827i | 0.520452 | − | 0.853891i | \(-0.325763\pi\) |
0.0237796 | + | 0.999717i | \(0.492430\pi\) | |||||||
\(6\) | −2.44766 | − | 0.0946360i | −0.999253 | − | 0.0386350i | ||||
\(7\) | −0.707732 | − | 0.408609i | −0.267497 | − | 0.154440i | 0.360252 | − | 0.932855i | \(-0.382691\pi\) |
−0.627750 | + | 0.778415i | \(0.716024\pi\) | |||||||
\(8\) | −2.47306 | + | 1.37258i | −0.874359 | + | 0.485279i | ||||
\(9\) | −0.324925 | − | 2.98235i | −0.108308 | − | 0.994117i | ||||
\(10\) | 0.743871 | + | 1.61901i | 0.235233 | + | 0.511976i | ||||
\(11\) | 0.497094 | + | 1.85518i | 0.149879 | + | 0.559357i | 0.999490 | + | 0.0319463i | \(0.0101706\pi\) |
−0.849610 | + | 0.527411i | \(0.823163\pi\) | |||||||
\(12\) | −2.10702 | − | 2.74963i | −0.608246 | − | 0.793749i | ||||
\(13\) | 0.116336 | − | 0.434170i | 0.0322657 | − | 0.120417i | −0.947915 | − | 0.318524i | \(-0.896813\pi\) |
0.980180 | + | 0.198107i | \(0.0634794\pi\) | |||||||
\(14\) | −0.194268 | − | 1.13928i | −0.0519203 | − | 0.304484i | ||||
\(15\) | −1.82785 | + | 1.19196i | −0.471948 | + | 0.307764i | ||||
\(16\) | −3.72696 | − | 1.45250i | −0.931740 | − | 0.363126i | ||||
\(17\) | 6.62002 | 1.60559 | 0.802795 | − | 0.596255i | \(-0.203345\pi\) | ||||
0.802795 | + | 0.596255i | \(0.203345\pi\) | |||||||
\(18\) | 2.95279 | − | 3.04648i | 0.695979 | − | 0.718062i | ||||
\(19\) | 1.18421 | + | 1.18421i | 0.271677 | + | 0.271677i | 0.829775 | − | 0.558098i | \(-0.188469\pi\) |
−0.558098 | + | 0.829775i | \(0.688469\pi\) | |||||||
\(20\) | −1.09057 | + | 2.27150i | −0.243859 | + | 0.507924i | ||||
\(21\) | 1.34535 | − | 0.439960i | 0.293580 | − | 0.0960072i | ||||
\(22\) | −1.57045 | + | 2.21614i | −0.334822 | + | 0.472482i | ||||
\(23\) | 2.66201 | − | 1.53691i | 0.555067 | − | 0.320468i | −0.196096 | − | 0.980585i | \(-0.562826\pi\) |
0.751163 | + | 0.660117i | \(0.229493\pi\) | |||||||
\(24\) | 1.09039 | − | 4.77609i | 0.222575 | − | 0.974916i | ||||
\(25\) | −2.95551 | − | 1.70637i | −0.591102 | − | 0.341273i | ||||
\(26\) | 0.577617 | − | 0.265393i | 0.113280 | − | 0.0520478i | ||||
\(27\) | 4.22112 | + | 3.03020i | 0.812356 | + | 0.583163i | ||||
\(28\) | 1.06465 | − | 1.24012i | 0.201200 | − | 0.234361i | ||||
\(29\) | 8.65622 | − | 2.31943i | 1.60742 | − | 0.430707i | 0.660147 | − | 0.751136i | \(-0.270494\pi\) |
0.947272 | + | 0.320430i | \(0.103827\pi\) | |||||||
\(30\) | −2.94780 | − | 0.913295i | −0.538192 | − | 0.166744i | ||||
\(31\) | −4.61440 | − | 7.99238i | −0.828771 | − | 1.43547i | −0.899003 | − | 0.437943i | \(-0.855707\pi\) |
0.0702316 | − | 0.997531i | \(-0.477626\pi\) | |||||||
\(32\) | −1.78414 | − | 5.36813i | −0.315394 | − | 0.948961i | ||||
\(33\) | −2.96690 | − | 1.50462i | −0.516471 | − | 0.261920i | ||||
\(34\) | 5.97732 | + | 7.20562i | 1.02510 | + | 1.23575i | ||||
\(35\) | −0.728028 | − | 0.728028i | −0.123059 | − | 0.123059i | ||||
\(36\) | 5.98209 | + | 0.463274i | 0.997015 | + | 0.0772123i | ||||
\(37\) | −2.14134 | + | 2.14134i | −0.352035 | + | 0.352035i | −0.860866 | − | 0.508831i | \(-0.830078\pi\) |
0.508831 | + | 0.860866i | \(0.330078\pi\) | |||||||
\(38\) | −0.219723 | + | 2.35821i | −0.0356437 | + | 0.382552i | ||||
\(39\) | 0.425259 | + | 0.652125i | 0.0680960 | + | 0.104424i | ||||
\(40\) | −3.45713 | + | 0.863932i | −0.546621 | + | 0.136600i | ||||
\(41\) | −9.15868 | + | 5.28777i | −1.43035 | + | 0.825810i | −0.997147 | − | 0.0754884i | \(-0.975948\pi\) |
−0.433199 | + | 0.901299i | \(0.642615\pi\) | |||||||
\(42\) | 1.69362 | + | 1.06711i | 0.261331 | + | 0.164659i | ||||
\(43\) | 1.66072 | + | 6.19791i | 0.253258 | + | 0.945172i | 0.969051 | + | 0.246860i | \(0.0793987\pi\) |
−0.715793 | + | 0.698312i | \(0.753935\pi\) | |||||||
\(44\) | −3.83016 | + | 0.291611i | −0.577418 | + | 0.0439620i | ||||
\(45\) | 0.577065 | − | 3.73529i | 0.0860238 | − | 0.556825i | ||||
\(46\) | 4.07643 | + | 1.50979i | 0.601037 | + | 0.222606i | ||||
\(47\) | −0.140916 | + | 0.244074i | −0.0205547 | + | 0.0356018i | −0.876120 | − | 0.482093i | \(-0.839877\pi\) |
0.855565 | + | 0.517695i | \(0.173210\pi\) | |||||||
\(48\) | 6.18311 | − | 3.12556i | 0.892455 | − | 0.451136i | ||||
\(49\) | −3.16608 | − | 5.48381i | −0.452297 | − | 0.783401i | ||||
\(50\) | −0.811269 | − | 4.75766i | −0.114731 | − | 0.672834i | ||||
\(51\) | −7.65618 | + | 8.53562i | −1.07208 | + | 1.19523i | ||||
\(52\) | 0.810409 | + | 0.389086i | 0.112383 | + | 0.0539565i | ||||
\(53\) | 4.83822 | − | 4.83822i | 0.664580 | − | 0.664580i | −0.291876 | − | 0.956456i | \(-0.594279\pi\) |
0.956456 | + | 0.291876i | \(0.0942794\pi\) | |||||||
\(54\) | 0.513069 | + | 7.33054i | 0.0698198 | + | 0.997560i | ||||
\(55\) | 2.41973i | 0.326277i | ||||||||
\(56\) | 2.31111 | + | 0.0390992i | 0.308835 | + | 0.00522485i | ||||
\(57\) | −2.89645 | + | 0.157317i | −0.383644 | + | 0.0208372i | ||||
\(58\) | 10.3404 | + | 7.32769i | 1.35777 | + | 0.962173i | ||||
\(59\) | −7.15823 | − | 1.91804i | −0.931923 | − | 0.249708i | −0.239248 | − | 0.970958i | \(-0.576901\pi\) |
−0.692674 | + | 0.721251i | \(0.743568\pi\) | |||||||
\(60\) | −1.66753 | − | 4.03318i | −0.215277 | − | 0.520682i | ||||
\(61\) | −9.87829 | + | 2.64688i | −1.26479 | + | 0.338898i | −0.828031 | − | 0.560682i | \(-0.810539\pi\) |
−0.436755 | + | 0.899581i | \(0.643872\pi\) | |||||||
\(62\) | 4.53296 | − | 12.2390i | 0.575687 | − | 1.55436i | ||||
\(63\) | −0.988656 | + | 2.24347i | −0.124559 | + | 0.282651i | ||||
\(64\) | 4.23207 | − | 6.78893i | 0.529008 | − | 0.848617i | ||||
\(65\) | 0.283147 | − | 0.490424i | 0.0351200 | − | 0.0608296i | ||||
\(66\) | −1.04115 | − | 4.58789i | −0.128157 | − | 0.564730i | ||||
\(67\) | 1.39968 | − | 5.22368i | 0.170998 | − | 0.638175i | −0.826200 | − | 0.563376i | \(-0.809502\pi\) |
0.997199 | − | 0.0747982i | \(-0.0238312\pi\) | |||||||
\(68\) | −2.44600 | + | 13.0121i | −0.296622 | + | 1.57795i | ||||
\(69\) | −1.09702 | + | 5.20977i | −0.132066 | + | 0.627182i | ||||
\(70\) | 0.135081 | − | 1.44978i | 0.0161452 | − | 0.173282i | ||||
\(71\) | − | 3.27174i | − | 0.388284i | −0.980973 | − | 0.194142i | \(-0.937808\pi\) | ||
0.980973 | − | 0.194142i | \(-0.0621922\pi\) | |||||||
\(72\) | 4.89707 | + | 6.92956i | 0.577125 | + | 0.816656i | ||||
\(73\) | 4.92262i | 0.576150i | 0.957608 | + | 0.288075i | \(0.0930152\pi\) | ||||
−0.957608 | + | 0.288075i | \(0.906985\pi\) | |||||||
\(74\) | −4.26422 | − | 0.397312i | −0.495705 | − | 0.0461866i | ||||
\(75\) | 5.61824 | − | 1.83729i | 0.648738 | − | 0.212152i | ||||
\(76\) | −2.76521 | + | 1.89011i | −0.317191 | + | 0.216810i | ||||
\(77\) | 0.406234 | − | 1.51609i | 0.0462947 | − | 0.172774i | ||||
\(78\) | −0.325838 | + | 1.05169i | −0.0368939 | + | 0.119081i | ||||
\(79\) | 7.70232 | − | 13.3408i | 0.866578 | − | 1.50096i | 0.00110666 | − | 0.999999i | \(-0.499648\pi\) |
0.865472 | − | 0.500958i | \(-0.167019\pi\) | |||||||
\(80\) | −4.06186 | − | 2.98289i | −0.454129 | − | 0.333497i | ||||
\(81\) | −8.78885 | + | 1.93808i | −0.976539 | + | 0.215342i | ||||
\(82\) | −14.0250 | − | 5.19444i | −1.54881 | − | 0.573630i | ||||
\(83\) | −10.9241 | + | 2.92711i | −1.19908 | + | 0.321292i | −0.802468 | − | 0.596695i | \(-0.796480\pi\) |
−0.396610 | + | 0.917987i | \(0.629813\pi\) | |||||||
\(84\) | 0.367685 | + | 2.80695i | 0.0401177 | + | 0.306263i | ||||
\(85\) | 8.05616 | + | 2.15864i | 0.873813 | + | 0.234138i | ||||
\(86\) | −5.24667 | + | 7.40382i | −0.565763 | + | 0.798374i | ||||
\(87\) | −7.02050 | + | 13.8435i | −0.752676 | + | 1.48418i | ||||
\(88\) | −3.77572 | − | 3.90567i | −0.402493 | − | 0.416346i | ||||
\(89\) | 3.44143i | 0.364790i | 0.983225 | + | 0.182395i | \(0.0583850\pi\) | ||||
−0.983225 | + | 0.182395i | \(0.941615\pi\) | |||||||
\(90\) | 4.58675 | − | 2.74454i | 0.483486 | − | 0.289300i | ||||
\(91\) | −0.259740 | + | 0.259740i | −0.0272282 | + | 0.0272282i | ||||
\(92\) | 2.03734 | + | 5.80024i | 0.212407 | + | 0.604717i | ||||
\(93\) | 15.6417 | + | 3.29369i | 1.62197 | + | 0.341540i | ||||
\(94\) | −0.392899 | + | 0.0669966i | −0.0405245 | + | 0.00691018i | ||||
\(95\) | 1.05497 | + | 1.82726i | 0.108238 | + | 0.187473i | ||||
\(96\) | 8.98487 | + | 3.90794i | 0.917015 | + | 0.398853i | ||||
\(97\) | −4.46939 | + | 7.74121i | −0.453798 | + | 0.786001i | −0.998618 | − | 0.0525516i | \(-0.983265\pi\) |
0.544820 | + | 0.838553i | \(0.316598\pi\) | |||||||
\(98\) | 3.11020 | − | 8.39756i | 0.314177 | − | 0.848282i | ||||
\(99\) | 5.37128 | − | 2.08530i | 0.539834 | − | 0.209581i | ||||
\(100\) | 4.44601 | − | 5.17880i | 0.444601 | − | 0.517880i | ||||
\(101\) | 1.78073 | + | 6.64577i | 0.177189 | + | 0.661278i | 0.996168 | + | 0.0874556i | \(0.0278736\pi\) |
−0.818979 | + | 0.573823i | \(0.805460\pi\) | |||||||
\(102\) | −16.2036 | − | 0.626492i | −1.60439 | − | 0.0620320i | ||||
\(103\) | 5.76134 | − | 3.32631i | 0.567681 | − | 0.327751i | −0.188541 | − | 0.982065i | \(-0.560376\pi\) |
0.756223 | + | 0.654314i | \(0.227043\pi\) | |||||||
\(104\) | 0.308227 | + | 1.23341i | 0.0302241 | + | 0.120946i | ||||
\(105\) | 1.78067 | − | 0.0967154i | 0.173776 | − | 0.00943845i | ||||
\(106\) | 9.63471 | + | 0.897699i | 0.935805 | + | 0.0871922i | ||||
\(107\) | −4.06262 | + | 4.06262i | −0.392748 | + | 0.392748i | −0.875666 | − | 0.482918i | \(-0.839577\pi\) |
0.482918 | + | 0.875666i | \(0.339577\pi\) | |||||||
\(108\) | −7.51573 | + | 7.17731i | −0.723202 | + | 0.690637i | ||||
\(109\) | −7.19802 | − | 7.19802i | −0.689445 | − | 0.689445i | 0.272664 | − | 0.962109i | \(-0.412095\pi\) |
−0.962109 | + | 0.272664i | \(0.912095\pi\) | |||||||
\(110\) | −2.63378 | + | 2.18481i | −0.251121 | + | 0.208314i | ||||
\(111\) | −0.284468 | − | 5.23748i | −0.0270005 | − | 0.497119i | ||||
\(112\) | 2.04418 | + | 2.55085i | 0.193157 | + | 0.241033i | ||||
\(113\) | 6.45739 | + | 11.1845i | 0.607460 | + | 1.05215i | 0.991657 | + | 0.128901i | \(0.0411450\pi\) |
−0.384197 | + | 0.923251i | \(0.625522\pi\) | |||||||
\(114\) | −2.78648 | − | 3.01062i | −0.260978 | − | 0.281970i | ||||
\(115\) | 3.74066 | − | 1.00231i | 0.348818 | − | 0.0934655i | ||||
\(116\) | 1.36065 | + | 17.8714i | 0.126333 | + | 1.65932i | ||||
\(117\) | −1.33265 | − | 0.205881i | −0.123203 | − | 0.0190337i | ||||
\(118\) | −4.37557 | − | 9.52327i | −0.402804 | − | 0.876688i | ||||
\(119\) | −4.68520 | − | 2.70500i | −0.429491 | − | 0.247967i | ||||
\(120\) | 2.88432 | − | 5.45666i | 0.263301 | − | 0.498123i | ||||
\(121\) | 6.33169 | − | 3.65560i | 0.575608 | − | 0.332328i | ||||
\(122\) | −11.8003 | − | 8.36221i | −1.06835 | − | 0.757079i | ||||
\(123\) | 3.77433 | − | 17.9243i | 0.340320 | − | 1.61618i | ||||
\(124\) | 17.4146 | − | 6.11687i | 1.56387 | − | 0.549312i | ||||
\(125\) | −7.49458 | − | 7.49458i | −0.670336 | − | 0.670336i | ||||
\(126\) | −3.33460 | + | 0.949555i | −0.297070 | + | 0.0845930i | ||||
\(127\) | 14.6917 | 1.30368 | 0.651838 | − | 0.758358i | \(-0.273998\pi\) | ||||
0.651838 | + | 0.758358i | \(0.273998\pi\) | |||||||
\(128\) | 11.2107 | − | 1.52341i | 0.990893 | − | 0.134651i | ||||
\(129\) | −9.91202 | − | 5.02672i | −0.872705 | − | 0.442578i | ||||
\(130\) | 0.789464 | − | 0.134618i | 0.0692406 | − | 0.0118068i | ||||
\(131\) | 2.59556 | − | 9.68678i | 0.226775 | − | 0.846338i | −0.754910 | − | 0.655828i | \(-0.772319\pi\) |
0.981685 | − | 0.190509i | \(-0.0610139\pi\) | |||||||
\(132\) | 4.05366 | − | 5.27573i | 0.352826 | − | 0.459193i | ||||
\(133\) | −0.354225 | − | 1.32198i | −0.0307152 | − | 0.114631i | ||||
\(134\) | 6.94956 | − | 3.19305i | 0.600351 | − | 0.275838i | ||||
\(135\) | 4.14877 | + | 5.06399i | 0.357069 | + | 0.435839i | ||||
\(136\) | −16.3717 | + | 9.08648i | −1.40386 | + | 0.779159i | ||||
\(137\) | 2.37032 | + | 1.36850i | 0.202510 | + | 0.116919i | 0.597826 | − | 0.801626i | \(-0.296031\pi\) |
−0.395316 | + | 0.918545i | \(0.629365\pi\) | |||||||
\(138\) | −6.66114 | + | 3.50991i | −0.567034 | + | 0.298784i | ||||
\(139\) | 8.46230 | + | 2.26747i | 0.717763 | + | 0.192324i | 0.599173 | − | 0.800619i | \(-0.295496\pi\) |
0.118590 | + | 0.992943i | \(0.462163\pi\) | |||||||
\(140\) | 1.69999 | − | 1.16200i | 0.143675 | − | 0.0982067i | ||||
\(141\) | −0.151728 | − | 0.463968i | −0.0127778 | − | 0.0390732i | ||||
\(142\) | 3.56115 | − | 2.95410i | 0.298845 | − | 0.247903i | ||||
\(143\) | 0.863293 | 0.0721922 | ||||||||
\(144\) | −3.12090 | + | 11.5871i | −0.260075 | + | 0.965588i | ||||
\(145\) | 11.2904 | 0.937617 | ||||||||
\(146\) | −5.35807 | + | 4.44472i | −0.443437 | + | 0.367847i | ||||
\(147\) | 10.7323 | + | 2.25990i | 0.885182 | + | 0.186393i | ||||
\(148\) | −3.41777 | − | 5.00016i | −0.280939 | − | 0.411011i | ||||
\(149\) | −8.25990 | − | 2.21323i | −0.676678 | − | 0.181315i | −0.0959167 | − | 0.995389i | \(-0.530578\pi\) |
−0.580761 | + | 0.814074i | \(0.697245\pi\) | |||||||
\(150\) | 7.07261 | + | 4.45630i | 0.577476 | + | 0.363856i | ||||
\(151\) | −20.2738 | − | 11.7051i | −1.64986 | − | 0.952546i | −0.977126 | − | 0.212660i | \(-0.931787\pi\) |
−0.672732 | − | 0.739886i | \(-0.734879\pi\) | |||||||
\(152\) | −4.55405 | − | 1.30321i | −0.369382 | − | 0.105704i | ||||
\(153\) | −2.15101 | − | 19.7432i | −0.173899 | − | 1.59614i | ||||
\(154\) | 2.01699 | − | 0.926729i | 0.162534 | − | 0.0746779i | ||||
\(155\) | −3.00931 | − | 11.2309i | −0.241714 | − | 0.902087i | ||||
\(156\) | −1.43893 | + | 0.594928i | −0.115206 | + | 0.0476323i | ||||
\(157\) | −5.60365 | + | 20.9131i | −0.447220 | + | 1.66905i | 0.262788 | + | 0.964854i | \(0.415358\pi\) |
−0.710008 | + | 0.704194i | \(0.751309\pi\) | |||||||
\(158\) | 21.4755 | − | 3.66197i | 1.70850 | − | 0.291330i | ||||
\(159\) | 0.642736 | + | 11.8337i | 0.0509723 | + | 0.938475i | ||||
\(160\) | −0.420759 | − | 7.11446i | −0.0332639 | − | 0.562448i | ||||
\(161\) | −2.51198 | −0.197972 | ||||||||
\(162\) | −10.0451 | − | 7.81638i | −0.789219 | − | 0.614112i | ||||
\(163\) | 1.39858 | + | 1.39858i | 0.109545 | + | 0.109545i | 0.759755 | − | 0.650210i | \(-0.225319\pi\) |
−0.650210 | + | 0.759755i | \(0.725319\pi\) | |||||||
\(164\) | −7.00949 | − | 19.9558i | −0.547349 | − | 1.55829i | ||||
\(165\) | −3.11992 | − | 2.79847i | −0.242885 | − | 0.217860i | ||||
\(166\) | −13.0496 | − | 9.24753i | −1.01285 | − | 0.717747i | ||||
\(167\) | 20.0385 | − | 11.5692i | 1.55063 | − | 0.895254i | 0.552535 | − | 0.833490i | \(-0.313661\pi\) |
0.998091 | − | 0.0617643i | \(-0.0196727\pi\) | |||||||
\(168\) | −2.72326 | + | 2.93465i | −0.210104 | + | 0.226413i | ||||
\(169\) | 11.0834 | + | 6.39898i | 0.852566 | + | 0.492229i | ||||
\(170\) | 4.92444 | + | 10.7179i | 0.377687 | + | 0.822023i | ||||
\(171\) | 3.14696 | − | 3.91652i | 0.240654 | − | 0.299504i | ||||
\(172\) | −12.7961 | + | 0.974234i | −0.975690 | + | 0.0742847i | ||||
\(173\) | 4.95697 | − | 1.32822i | 0.376871 | − | 0.100982i | −0.0654105 | − | 0.997858i | \(-0.520836\pi\) |
0.442282 | + | 0.896876i | \(0.354169\pi\) | |||||||
\(174\) | −21.4070 | + | 4.85798i | −1.62286 | + | 0.368283i | ||||
\(175\) | 1.39447 | + | 2.41530i | 0.105412 | + | 0.182579i | ||||
\(176\) | 0.842008 | − | 7.63621i | 0.0634687 | − | 0.575601i | ||||
\(177\) | 10.7517 | − | 7.01132i | 0.808147 | − | 0.527003i | ||||
\(178\) | −3.74585 | + | 3.10732i | −0.280763 | + | 0.232903i | ||||
\(179\) | 3.14784 | + | 3.14784i | 0.235281 | + | 0.235281i | 0.814893 | − | 0.579612i | \(-0.196796\pi\) |
−0.579612 | + | 0.814893i | \(0.696796\pi\) | |||||||
\(180\) | 7.12878 | + | 2.51440i | 0.531348 | + | 0.187413i | ||||
\(181\) | −2.82816 | + | 2.82816i | −0.210216 | + | 0.210216i | −0.804359 | − | 0.594143i | \(-0.797491\pi\) |
0.594143 | + | 0.804359i | \(0.297491\pi\) | |||||||
\(182\) | −0.517240 | − | 0.0481930i | −0.0383404 | − | 0.00357231i | ||||
\(183\) | 8.01164 | − | 15.7979i | 0.592238 | − | 1.16781i | ||||
\(184\) | −4.47378 | + | 7.45468i | −0.329811 | + | 0.549567i | ||||
\(185\) | −3.30413 | + | 1.90764i | −0.242924 | + | 0.140253i | ||||
\(186\) | 10.5381 | + | 19.9993i | 0.772693 | + | 1.46642i | ||||
\(187\) | 3.29077 | + | 12.2813i | 0.240645 | + | 0.898099i | ||||
\(188\) | −0.427678 | − | 0.367162i | −0.0311916 | − | 0.0267781i | ||||
\(189\) | −1.74925 | − | 3.86936i | −0.127240 | − | 0.281454i | ||||
\(190\) | −1.03635 | + | 2.79815i | −0.0751847 | + | 0.202999i | ||||
\(191\) | −8.50375 | + | 14.7289i | −0.615310 | + | 1.06575i | 0.375020 | + | 0.927017i | \(0.377636\pi\) |
−0.990330 | + | 0.138732i | \(0.955697\pi\) | |||||||
\(192\) | 3.85895 | + | 13.3082i | 0.278496 | + | 0.960438i | ||||
\(193\) | −2.70970 | − | 4.69334i | −0.195049 | − | 0.337834i | 0.751868 | − | 0.659314i | \(-0.229153\pi\) |
−0.946916 | + | 0.321480i | \(0.895820\pi\) | |||||||
\(194\) | −12.4615 | + | 2.12491i | −0.894682 | + | 0.152560i | ||||
\(195\) | 0.304871 | + | 0.932265i | 0.0218323 | + | 0.0667609i | ||||
\(196\) | 11.9486 | − | 4.19697i | 0.853475 | − | 0.299783i | ||||
\(197\) | −8.03915 | + | 8.03915i | −0.572766 | + | 0.572766i | −0.932900 | − | 0.360135i | \(-0.882731\pi\) |
0.360135 | + | 0.932900i | \(0.382731\pi\) | |||||||
\(198\) | 7.11958 | + | 3.96356i | 0.505966 | + | 0.281678i | ||||
\(199\) | 11.2258i | 0.795773i | 0.917435 | + | 0.397886i | \(0.130256\pi\) | ||||
−0.917435 | + | 0.397886i | \(0.869744\pi\) | |||||||
\(200\) | 9.65128 | + | 0.163280i | 0.682449 | + | 0.0115456i | ||||
\(201\) | 5.11648 | + | 7.84599i | 0.360888 | + | 0.553414i | ||||
\(202\) | −5.62580 | + | 7.93882i | −0.395830 | + | 0.558573i | ||||
\(203\) | −7.07402 | − | 1.89548i | −0.496499 | − | 0.133036i | ||||
\(204\) | −13.9485 | − | 18.2026i | −0.976593 | − | 1.27444i | ||||
\(205\) | −12.8698 | + | 3.44845i | −0.898865 | + | 0.240850i | ||||
\(206\) | 8.82255 | + | 3.26760i | 0.614696 | + | 0.227665i | ||||
\(207\) | −5.44856 | − | 7.43966i | −0.378701 | − | 0.517092i | ||||
\(208\) | −1.06421 | + | 1.44916i | −0.0737898 | + | 0.100481i | ||||
\(209\) | −1.60826 | + | 2.78559i | −0.111246 | + | 0.192683i | ||||
\(210\) | 1.71307 | + | 1.85086i | 0.118213 | + | 0.127722i | ||||
\(211\) | −3.84526 | + | 14.3507i | −0.264718 | + | 0.987942i | 0.697704 | + | 0.716386i | \(0.254205\pi\) |
−0.962423 | + | 0.271556i | \(0.912462\pi\) | |||||||
\(212\) | 7.72222 | + | 11.2975i | 0.530364 | + | 0.775917i | ||||
\(213\) | 4.21846 | + | 3.78383i | 0.289044 | + | 0.259264i | ||||
\(214\) | −8.09019 | − | 0.753791i | −0.553034 | − | 0.0515281i | ||||
\(215\) | 8.08400i | 0.551324i | ||||||||
\(216\) | −14.5983 | − | 1.70006i | −0.993287 | − | 0.115674i | ||||
\(217\) | 7.54195i | 0.511981i | ||||||||
\(218\) | 1.33554 | − | 14.3340i | 0.0904544 | − | 0.970818i | ||||
\(219\) | −6.34706 | − | 5.69311i | −0.428895 | − | 0.384705i | ||||
\(220\) | −4.75616 | − | 0.894058i | −0.320660 | − | 0.0602773i | ||||
\(221\) | 0.770143 | − | 2.87421i | 0.0518054 | − | 0.193340i | ||||
\(222\) | 5.44393 | − | 5.03863i | 0.365373 | − | 0.338171i | ||||
\(223\) | −8.28003 | + | 14.3414i | −0.554472 | + | 0.960373i | 0.443473 | + | 0.896288i | \(0.353746\pi\) |
−0.997944 | + | 0.0640854i | \(0.979587\pi\) | |||||||
\(224\) | −0.930776 | + | 4.52821i | −0.0621901 | + | 0.302554i | ||||
\(225\) | −4.12866 | + | 9.36882i | −0.275244 | + | 0.624588i | ||||
\(226\) | −6.34342 | + | 17.1273i | −0.421958 | + | 1.13929i | ||||
\(227\) | 7.88725 | − | 2.11338i | 0.523495 | − | 0.140270i | 0.0126123 | − | 0.999920i | \(-0.495985\pi\) |
0.510883 | + | 0.859650i | \(0.329319\pi\) | |||||||
\(228\) | 0.760978 | − | 5.75130i | 0.0503970 | − | 0.380889i | ||||
\(229\) | −4.33776 | − | 1.16230i | −0.286647 | − | 0.0768068i | 0.112631 | − | 0.993637i | \(-0.464072\pi\) |
−0.399278 | + | 0.916830i | \(0.630739\pi\) | |||||||
\(230\) | 4.46847 | + | 3.16655i | 0.294642 | + | 0.208796i | ||||
\(231\) | 1.48497 | + | 2.27717i | 0.0977039 | + | 0.149827i | ||||
\(232\) | −18.2238 | + | 17.6174i | −1.19645 | + | 1.15664i | ||||
\(233\) | − | 7.33128i | − | 0.480288i | −0.970737 | − | 0.240144i | \(-0.922805\pi\) | ||
0.970737 | − | 0.240144i | \(-0.0771947\pi\) | |||||||
\(234\) | −0.979176 | − | 1.63643i | −0.0640108 | − | 0.106977i | ||||
\(235\) | −0.251073 | + | 0.251073i | −0.0163782 | + | 0.0163782i | ||||
\(236\) | 6.41492 | − | 13.3613i | 0.417576 | − | 0.869749i | ||||
\(237\) | 8.29329 | + | 25.3600i | 0.538707 | + | 1.64731i | ||||
\(238\) | −1.28606 | − | 7.54203i | −0.0833627 | − | 0.488877i | ||||
\(239\) | 3.40305 | + | 5.89425i | 0.220125 | + | 0.381268i | 0.954846 | − | 0.297102i | \(-0.0960202\pi\) |
−0.734721 | + | 0.678370i | \(0.762687\pi\) | |||||||
\(240\) | 8.54365 | − | 1.78744i | 0.551490 | − | 0.115379i | ||||
\(241\) | 2.98687 | − | 5.17340i | 0.192401 | − | 0.333248i | −0.753644 | − | 0.657282i | \(-0.771706\pi\) |
0.946045 | + | 0.324034i | \(0.105039\pi\) | |||||||
\(242\) | 9.69596 | + | 3.59109i | 0.623280 | + | 0.230844i | ||||
\(243\) | 7.66558 | − | 13.5735i | 0.491747 | − | 0.870738i | ||||
\(244\) | −1.55275 | − | 20.3945i | −0.0994043 | − | 1.30562i | ||||
\(245\) | −2.06478 | − | 7.70585i | −0.131914 | − | 0.492309i | ||||
\(246\) | 22.9178 | − | 12.0759i | 1.46118 | − | 0.769932i | ||||
\(247\) | 0.651915 | − | 0.376383i | 0.0414804 | − | 0.0239487i | ||||
\(248\) | 22.3819 | + | 13.4320i | 1.42125 | + | 0.852934i | ||||
\(249\) | 8.85985 | − | 17.4704i | 0.561470 | − | 1.10714i | ||||
\(250\) | 1.39057 | − | 14.9245i | 0.0879473 | − | 0.943909i | ||||
\(251\) | −16.1412 | + | 16.1412i | −1.01882 | + | 1.01882i | −0.0190030 | + | 0.999819i | \(0.506049\pi\) |
−0.999819 | + | 0.0190030i | \(0.993951\pi\) | |||||||
\(252\) | −4.04442 | − | 2.77221i | −0.254774 | − | 0.174633i | ||||
\(253\) | 4.17451 | + | 4.17451i | 0.262449 | + | 0.262449i | ||||
\(254\) | 13.2654 | + | 15.9913i | 0.832342 | + | 1.00338i | ||||
\(255\) | −12.1004 | + | 7.89082i | −0.757755 | + | 0.494142i | ||||
\(256\) | 11.7805 | + | 10.8269i | 0.736279 | + | 0.676678i | ||||
\(257\) | −0.172522 | − | 0.298817i | −0.0107616 | − | 0.0186397i | 0.860594 | − | 0.509291i | \(-0.170092\pi\) |
−0.871356 | + | 0.490651i | \(0.836759\pi\) | |||||||
\(258\) | −3.47834 | − | 15.3275i | −0.216552 | − | 0.954251i | ||||
\(259\) | 2.39047 | − | 0.640524i | 0.148536 | − | 0.0398002i | ||||
\(260\) | 0.859346 | + | 0.737750i | 0.0532944 | + | 0.0457533i | ||||
\(261\) | −9.72997 | − | 25.0623i | −0.602270 | − | 1.55131i | ||||
\(262\) | 12.8872 | − | 5.92118i | 0.796176 | − | 0.365812i | ||||
\(263\) | −4.43128 | − | 2.55840i | −0.273244 | − | 0.157758i | 0.357117 | − | 0.934060i | \(-0.383760\pi\) |
−0.630361 | + | 0.776302i | \(0.717093\pi\) | |||||||
\(264\) | 9.40253 | − | 0.351294i | 0.578686 | − | 0.0216207i | ||||
\(265\) | 7.46546 | − | 4.31018i | 0.458599 | − | 0.264772i | ||||
\(266\) | 1.11909 | − | 1.57920i | 0.0686158 | − | 0.0968269i | ||||
\(267\) | −4.43726 | − | 3.98008i | −0.271556 | − | 0.243577i | ||||
\(268\) | 9.75037 | + | 4.68126i | 0.595599 | + | 0.285953i | ||||
\(269\) | −15.4613 | − | 15.4613i | −0.942692 | − | 0.942692i | 0.0557529 | − | 0.998445i | \(-0.482244\pi\) |
−0.998445 | + | 0.0557529i | \(0.982244\pi\) | |||||||
\(270\) | −1.76595 | + | 9.08812i | −0.107472 | + | 0.553085i | ||||
\(271\) | −12.4048 | −0.753538 | −0.376769 | − | 0.926307i | \(-0.622965\pi\) | ||||
−0.376769 | + | 0.926307i | \(0.622965\pi\) | |||||||
\(272\) | −24.6725 | − | 9.61561i | −1.49599 | − | 0.583032i | ||||
\(273\) | −0.0345053 | − | 0.635294i | −0.00208836 | − | 0.0384498i | ||||
\(274\) | 0.650637 | + | 3.81564i | 0.0393064 | + | 0.230511i | ||||
\(275\) | 1.69645 | − | 6.33123i | 0.102300 | − | 0.381787i | ||||
\(276\) | −9.83485 | − | 4.08122i | −0.591988 | − | 0.245661i | ||||
\(277\) | −5.42920 | − | 20.2621i | −0.326209 | − | 1.21743i | −0.913091 | − | 0.407757i | \(-0.866311\pi\) |
0.586881 | − | 0.809673i | \(-0.300356\pi\) | |||||||
\(278\) | 5.17270 | + | 11.2582i | 0.310238 | + | 0.675222i | ||||
\(279\) | −22.3368 | + | 16.3587i | −1.33727 | + | 0.979370i | ||||
\(280\) | 2.79973 | + | 0.801184i | 0.167316 | + | 0.0478799i | ||||
\(281\) | 10.9537 | + | 6.32414i | 0.653445 | + | 0.377266i | 0.789775 | − | 0.613397i | \(-0.210197\pi\) |
−0.136330 | + | 0.990663i | \(0.543531\pi\) | |||||||
\(282\) | 0.368013 | − | 0.584074i | 0.0219148 | − | 0.0347811i | ||||
\(283\) | −21.2483 | − | 5.69346i | −1.26308 | − | 0.338441i | −0.435703 | − | 0.900090i | \(-0.643500\pi\) |
−0.827375 | + | 0.561650i | \(0.810167\pi\) | |||||||
\(284\) | 6.43084 | + | 1.20886i | 0.381600 | + | 0.0717327i | ||||
\(285\) | −3.57610 | − | 0.753021i | −0.211830 | − | 0.0446051i | ||||
\(286\) | 0.779481 | + | 0.939659i | 0.0460917 | + | 0.0555632i | ||||
\(287\) | 8.64252 | 0.510152 | ||||||||
\(288\) | −15.4299 | + | 7.06517i | −0.909219 | + | 0.416319i | ||||
\(289\) | 26.8246 | 1.57792 | ||||||||
\(290\) | 10.1943 | + | 12.2891i | 0.598629 | + | 0.721644i | ||||
\(291\) | −4.81231 | − | 14.7155i | −0.282103 | − | 0.862641i | ||||
\(292\) | −9.67578 | − | 1.81884i | −0.566232 | − | 0.106440i | ||||
\(293\) | −0.111616 | − | 0.0299075i | −0.00652069 | − | 0.00174721i | 0.255557 | − | 0.966794i | \(-0.417741\pi\) |
−0.262078 | + | 0.965047i | \(0.584408\pi\) | |||||||
\(294\) | 7.23052 | + | 13.7221i | 0.421692 | + | 0.800291i | ||||
\(295\) | −8.08571 | − | 4.66828i | −0.470768 | − | 0.271798i | ||||
\(296\) | 2.35652 | − | 8.23483i | 0.136970 | − | 0.478640i | ||||
\(297\) | −3.52327 | + | 9.33723i | −0.204441 | + | 0.541801i | ||||
\(298\) | −5.04898 | − | 10.9889i | −0.292480 | − | 0.636572i | ||||
\(299\) | −0.357595 | − | 1.33456i | −0.0206802 | − | 0.0771797i | ||||
\(300\) | 1.53547 | + | 11.7219i | 0.0886502 | + | 0.676765i | ||||
\(301\) | 1.35717 | − | 5.06504i | 0.0782262 | − | 0.291944i | ||||
\(302\) | −5.56503 | − | 32.6359i | −0.320231 | − | 1.87799i | ||||
\(303\) | −10.6283 | − | 5.38995i | −0.610578 | − | 0.309645i | ||||
\(304\) | −2.69344 | − | 6.13358i | −0.154479 | − | 0.351785i | ||||
\(305\) | −12.8844 | −0.737757 | ||||||||
\(306\) | 19.5475 | − | 20.1678i | 1.11746 | − | 1.15291i | ||||
\(307\) | −12.4426 | − | 12.4426i | −0.710135 | − | 0.710135i | 0.256428 | − | 0.966563i | \(-0.417454\pi\) |
−0.966563 | + | 0.256428i | \(0.917454\pi\) | |||||||
\(308\) | 2.82988 | + | 1.35866i | 0.161247 | + | 0.0774166i | ||||
\(309\) | −2.37427 | + | 11.2754i | −0.135068 | + | 0.641436i | ||||
\(310\) | 9.50722 | − | 13.4161i | 0.539974 | − | 0.761981i | ||||
\(311\) | −2.03115 | + | 1.17269i | −0.115176 | + | 0.0664969i | −0.556481 | − | 0.830860i | \(-0.687849\pi\) |
0.441305 | + | 0.897357i | \(0.354516\pi\) | |||||||
\(312\) | −1.94678 | − | 1.02904i | −0.110215 | − | 0.0582581i | ||||
\(313\) | 8.62293 | + | 4.97845i | 0.487397 | + | 0.281399i | 0.723494 | − | 0.690331i | \(-0.242535\pi\) |
−0.236097 | + | 0.971729i | \(0.575868\pi\) | |||||||
\(314\) | −27.8227 | + | 12.7834i | −1.57012 | + | 0.721411i | ||||
\(315\) | −1.93468 | + | 2.40779i | −0.109007 | + | 0.135664i | ||||
\(316\) | 23.3764 | + | 20.0687i | 1.31503 | + | 1.12895i | ||||
\(317\) | 4.42985 | − | 1.18698i | 0.248805 | − | 0.0666672i | −0.132261 | − | 0.991215i | \(-0.542224\pi\) |
0.381066 | + | 0.924548i | \(0.375557\pi\) | |||||||
\(318\) | −12.3002 | + | 11.3844i | −0.689760 | + | 0.638408i | ||||
\(319\) | 8.60590 | + | 14.9059i | 0.481838 | + | 0.834568i | ||||
\(320\) | 7.36389 | − | 6.88174i | 0.411654 | − | 0.384701i | ||||
\(321\) | −0.539701 | − | 9.93669i | −0.0301232 | − | 0.554612i | ||||
\(322\) | −2.26811 | − | 2.73419i | −0.126397 | − | 0.152370i | ||||
\(323\) | 7.83950 | + | 7.83950i | 0.436202 | + | 0.436202i | ||||
\(324\) | −0.562085 | − | 17.9912i | −0.0312270 | − | 0.999512i | ||||
\(325\) | −1.08468 | + | 1.08468i | −0.0601674 | + | 0.0601674i | ||||
\(326\) | −0.259497 | + | 2.78509i | −0.0143722 | + | 0.154252i | ||||
\(327\) | 17.6055 | − | 0.956225i | 0.973588 | − | 0.0528794i | ||||
\(328\) | 15.3921 | − | 25.6480i | 0.849887 | − | 1.41617i | ||||
\(329\) | 0.199461 | − | 0.115159i | 0.0109967 | − | 0.00634892i | ||||
\(330\) | 0.228994 | − | 5.92268i | 0.0126057 | − | 0.326033i | ||||
\(331\) | 4.49465 | + | 16.7743i | 0.247048 | + | 0.921997i | 0.972343 | + | 0.233558i | \(0.0750370\pi\) |
−0.725294 | + | 0.688439i | \(0.758296\pi\) | |||||||
\(332\) | −1.71714 | − | 22.5537i | −0.0942401 | − | 1.23779i | ||||
\(333\) | 7.08202 | + | 5.69046i | 0.388092 | + | 0.311835i | ||||
\(334\) | 30.6857 | + | 11.3650i | 1.67905 | + | 0.621867i | ||||
\(335\) | 3.40666 | − | 5.90050i | 0.186126 | − | 0.322379i | ||||
\(336\) | −5.65312 | − | 0.314416i | −0.308403 | − | 0.0171528i | ||||
\(337\) | −14.8424 | − | 25.7078i | −0.808517 | − | 1.40039i | −0.913891 | − | 0.405959i | \(-0.866937\pi\) |
0.105375 | − | 0.994433i | \(-0.466396\pi\) | |||||||
\(338\) | 3.04231 | + | 17.8415i | 0.165480 | + | 0.970451i | ||||
\(339\) | −21.8890 | − | 4.60919i | −1.18885 | − | 0.250337i | ||||
\(340\) | −7.21961 | + | 15.0374i | −0.391538 | + | 0.815517i | ||||
\(341\) | 12.5335 | − | 12.5335i | 0.678727 | − | 0.678727i | ||||
\(342\) | 7.10440 | − | 0.110952i | 0.384162 | − | 0.00599957i | ||||
\(343\) | 10.8953i | 0.588290i | ||||||||
\(344\) | −12.6142 | − | 13.0483i | −0.680111 | − | 0.703519i | ||||
\(345\) | −3.03380 | + | 5.98226i | −0.163334 | + | 0.322074i | ||||
\(346\) | 5.92144 | + | 4.19619i | 0.318338 | + | 0.225589i | ||||
\(347\) | 1.94185 | + | 0.520318i | 0.104244 | + | 0.0279321i | 0.310564 | − | 0.950552i | \(-0.399482\pi\) |
−0.206320 | + | 0.978485i | \(0.566149\pi\) | |||||||
\(348\) | −24.6164 | − | 18.9143i | −1.31958 | − | 1.01391i | ||||
\(349\) | 26.6321 | − | 7.13604i | 1.42558 | − | 0.381984i | 0.538122 | − | 0.842867i | \(-0.319134\pi\) |
0.887461 | + | 0.460883i | \(0.152467\pi\) | |||||||
\(350\) | −1.36986 | + | 3.69864i | −0.0732222 | + | 0.197700i | ||||
\(351\) | 1.80669 | − | 1.48017i | 0.0964339 | − | 0.0790054i | ||||
\(352\) | 9.07196 | − | 5.97836i | 0.483537 | − | 0.318648i | ||||
\(353\) | 1.58657 | − | 2.74801i | 0.0844444 | − | 0.146262i | −0.820710 | − | 0.571345i | \(-0.806422\pi\) |
0.905154 | + | 0.425083i | \(0.139755\pi\) | |||||||
\(354\) | 17.3394 | + | 5.37214i | 0.921579 | + | 0.285526i | ||||
\(355\) | 1.06684 | − | 3.98150i | 0.0566220 | − | 0.211316i | ||||
\(356\) | −6.76438 | − | 1.27156i | −0.358511 | − | 0.0673925i | ||||
\(357\) | 8.90625 | − | 2.91254i | 0.471369 | − | 0.154148i | ||||
\(358\) | −0.584061 | + | 6.26853i | −0.0308686 | + | 0.331302i | ||||
\(359\) | 22.6997i | 1.19804i | 0.800732 | + | 0.599022i | \(0.204444\pi\) | ||||
−0.800732 | + | 0.599022i | \(0.795556\pi\) | |||||||
\(360\) | 3.69986 | + | 10.0297i | 0.195000 | + | 0.528610i | ||||
\(361\) | − | 16.1953i | − | 0.852383i | ||||||
\(362\) | −5.63194 | − | 0.524747i | −0.296008 | − | 0.0275801i | ||||
\(363\) | −2.60932 | + | 12.3916i | −0.136954 | + | 0.650393i | ||||
\(364\) | −0.414568 | − | 0.606509i | −0.0217293 | − | 0.0317897i | ||||
\(365\) | −1.60516 | + | 5.99054i | −0.0840179 | + | 0.313559i | ||||
\(366\) | 24.4292 | − | 5.54382i | 1.27693 | − | 0.289780i | ||||
\(367\) | −1.94141 | + | 3.36261i | −0.101341 | + | 0.175527i | −0.912237 | − | 0.409662i | \(-0.865646\pi\) |
0.810897 | + | 0.585189i | \(0.198980\pi\) | |||||||
\(368\) | −12.1536 | + | 1.86143i | −0.633548 | + | 0.0970335i | ||||
\(369\) | 18.7459 | + | 25.5963i | 0.975871 | + | 1.33249i | ||||
\(370\) | −5.05974 | − | 1.87397i | −0.263043 | − | 0.0974232i | ||||
\(371\) | −5.40110 | + | 1.44722i | −0.280411 | + | 0.0751359i | ||||
\(372\) | −12.2534 | + | 29.5280i | −0.635309 | + | 1.53096i | ||||
\(373\) | 4.36176 | + | 1.16873i | 0.225843 | + | 0.0605145i | 0.369966 | − | 0.929045i | \(-0.379369\pi\) |
−0.144123 | + | 0.989560i | \(0.546036\pi\) | |||||||
\(374\) | −10.3964 | + | 14.6709i | −0.537586 | + | 0.758612i | ||||
\(375\) | 18.3309 | − | 0.995622i | 0.946602 | − | 0.0514137i | ||||
\(376\) | 0.0134840 | − | 0.797027i | 0.000695386 | − | 0.0411035i | ||||
\(377\) | − | 4.02810i | − | 0.207458i | ||||||
\(378\) | 2.63221 | − | 5.39770i | 0.135386 | − | 0.277628i | ||||
\(379\) | 14.6109 | − | 14.6109i | 0.750509 | − | 0.750509i | −0.224065 | − | 0.974574i | \(-0.571933\pi\) |
0.974574 | + | 0.224065i | \(0.0719328\pi\) | |||||||
\(380\) | −3.98141 | + | 1.39847i | −0.204242 | + | 0.0717401i | ||||
\(381\) | −16.9912 | + | 18.9429i | −0.870487 | + | 0.970476i | ||||
\(382\) | −23.7100 | + | 4.04300i | −1.21311 | + | 0.206858i | ||||
\(383\) | 14.4164 | + | 24.9699i | 0.736643 | + | 1.27590i | 0.953999 | + | 0.299811i | \(0.0969236\pi\) |
−0.217355 | + | 0.976093i | \(0.569743\pi\) | |||||||
\(384\) | −11.0011 | + | 16.2165i | −0.561400 | + | 0.827545i | ||||
\(385\) | 0.988724 | − | 1.71252i | 0.0503901 | − | 0.0872781i | ||||
\(386\) | 2.66188 | − | 7.18709i | 0.135486 | − | 0.365813i | ||||
\(387\) | 17.9447 | − | 6.96672i | 0.912182 | − | 0.354138i | ||||
\(388\) | −13.5645 | − | 11.6452i | −0.688636 | − | 0.591195i | ||||
\(389\) | 0.0510254 | + | 0.190429i | 0.00258709 | + | 0.00965514i | 0.967207 | − | 0.253988i | \(-0.0817425\pi\) |
−0.964620 | + | 0.263643i | \(0.915076\pi\) | |||||||
\(390\) | −0.739459 | + | 1.17360i | −0.0374439 | + | 0.0594274i | ||||
\(391\) | 17.6225 | − | 10.1744i | 0.891210 | − | 0.514540i | ||||
\(392\) | 15.3568 | + | 9.21611i | 0.775638 | + | 0.465484i | ||||
\(393\) | 9.48797 | + | 14.5496i | 0.478605 | + | 0.733929i | ||||
\(394\) | −16.0090 | − | 1.49161i | −0.806520 | − | 0.0751463i | ||||
\(395\) | 13.7234 | − | 13.7234i | 0.690499 | − | 0.690499i | ||||
\(396\) | 2.11420 | + | 11.3281i | 0.106243 | + | 0.569260i | ||||
\(397\) | −9.98504 | − | 9.98504i | −0.501135 | − | 0.501135i | 0.410656 | − | 0.911791i | \(-0.365300\pi\) |
−0.911791 | + | 0.410656i | \(0.865300\pi\) | |||||||
\(398\) | −12.2188 | + | 10.1359i | −0.612472 | + | 0.508067i | ||||
\(399\) | 2.11419 | + | 1.07218i | 0.105842 | + | 0.0536759i | ||||
\(400\) | 8.53657 | + | 10.6525i | 0.426829 | + | 0.532623i | ||||
\(401\) | 0.396741 | + | 0.687175i | 0.0198123 | + | 0.0343159i | 0.875762 | − | 0.482744i | \(-0.160360\pi\) |
−0.855949 | + | 0.517060i | \(0.827026\pi\) | |||||||
\(402\) | −3.92030 | + | 12.6533i | −0.195527 | + | 0.631092i | ||||
\(403\) | −4.00687 | + | 1.07364i | −0.199596 | + | 0.0534817i | ||||
\(404\) | −13.7207 | + | 1.04463i | −0.682630 | + | 0.0519724i | ||||
\(405\) | −11.3275 | − | 0.507321i | −0.562866 | − | 0.0252090i | ||||
\(406\) | −4.32409 | − | 9.41124i | −0.214601 | − | 0.467072i | ||||
\(407\) | −5.03702 | − | 2.90813i | −0.249676 | − | 0.144150i | ||||
\(408\) | 7.21841 | − | 31.6178i | 0.357364 | − | 1.56531i | ||||
\(409\) | −0.225551 | + | 0.130222i | −0.0111528 | + | 0.00643907i | −0.505566 | − | 0.862788i | \(-0.668716\pi\) |
0.494413 | + | 0.869227i | \(0.335383\pi\) | |||||||
\(410\) | −15.3738 | − | 10.8946i | −0.759259 | − | 0.538045i | ||||
\(411\) | −4.50582 | + | 1.47350i | −0.222256 | + | 0.0726826i | ||||
\(412\) | 4.40937 | + | 12.5534i | 0.217234 | + | 0.618460i | ||||
\(413\) | 4.28238 | + | 4.28238i | 0.210722 | + | 0.210722i | ||||
\(414\) | 3.17818 | − | 12.6479i | 0.156199 | − | 0.621612i | ||||
\(415\) | −14.2485 | −0.699429 | ||||||||
\(416\) | −2.53824 | + | 0.150115i | −0.124448 | + | 0.00736000i | ||||
\(417\) | −12.7104 | + | 8.28863i | −0.622431 | + | 0.405896i | ||||
\(418\) | −4.48412 | + | 0.764626i | −0.219326 | + | 0.0373991i | ||||
\(419\) | −0.985334 | + | 3.67732i | −0.0481367 | + | 0.179649i | −0.985809 | − | 0.167873i | \(-0.946310\pi\) |
0.937672 | + | 0.347522i | \(0.112977\pi\) | |||||||
\(420\) | −0.467833 | + | 3.53578i | −0.0228279 | + | 0.172528i | ||||
\(421\) | −0.208895 | − | 0.779608i | −0.0101809 | − | 0.0379958i | 0.960649 | − | 0.277767i | \(-0.0895943\pi\) |
−0.970829 | + | 0.239771i | \(0.922928\pi\) | |||||||
\(422\) | −19.0921 | + | 8.77206i | −0.929388 | + | 0.427017i | ||||
\(423\) | 0.773700 | + | 0.340955i | 0.0376186 | + | 0.0165778i | ||||
\(424\) | −5.32438 | + | 18.6060i | −0.258575 | + | 0.903589i | ||||
\(425\) | −19.5655 | − | 11.2962i | −0.949068 | − | 0.547945i | ||||
\(426\) | −0.309624 | + | 8.00810i | −0.0150013 | + | 0.387994i | ||||
\(427\) | 8.07272 | + | 2.16308i | 0.390666 | + | 0.104679i | ||||
\(428\) | −6.48429 | − | 9.48645i | −0.313430 | − | 0.458545i | ||||
\(429\) | −0.998415 | + | 1.11310i | −0.0482039 | + | 0.0537409i | ||||
\(430\) | −8.79911 | + | 7.29917i | −0.424331 | + | 0.351997i | ||||
\(431\) | 25.6515 | 1.23559 | 0.617796 | − | 0.786339i | \(-0.288026\pi\) | ||||
0.617796 | + | 0.786339i | \(0.288026\pi\) | |||||||
\(432\) | −11.3306 | − | 17.4246i | −0.545143 | − | 0.838343i | ||||
\(433\) | −23.0987 | −1.11005 | −0.555026 | − | 0.831833i | \(-0.687292\pi\) | ||||
−0.555026 | + | 0.831833i | \(0.687292\pi\) | |||||||
\(434\) | −8.20910 | + | 6.80974i | −0.394049 | + | 0.326878i | ||||
\(435\) | −13.0576 | + | 14.5575i | −0.626063 | + | 0.697977i | ||||
\(436\) | 16.8078 | − | 11.4887i | 0.804948 | − | 0.550207i | ||||
\(437\) | 4.97241 | + | 1.33235i | 0.237863 | + | 0.0637351i | ||||
\(438\) | 0.465858 | − | 12.0489i | 0.0222595 | − | 0.575719i | ||||
\(439\) | −7.88493 | − | 4.55237i | −0.376327 | − | 0.217273i | 0.299892 | − | 0.953973i | \(-0.403049\pi\) |
−0.676219 | + | 0.736701i | \(0.736383\pi\) | |||||||
\(440\) | −3.32127 | − | 5.98415i | −0.158335 | − | 0.285283i | ||||
\(441\) | −15.3259 | + | 11.2242i | −0.729805 | + | 0.534485i | ||||
\(442\) | 3.82384 | − | 1.75690i | 0.181881 | − | 0.0835674i | ||||
\(443\) | −7.31445 | − | 27.2979i | −0.347520 | − | 1.29696i | −0.889640 | − | 0.456662i | \(-0.849045\pi\) |
0.542120 | − | 0.840301i | \(-0.317622\pi\) | |||||||
\(444\) | 10.3998 | + | 1.37603i | 0.493551 | + | 0.0653036i | ||||
\(445\) | −1.12217 | + | 4.18801i | −0.0531961 | + | 0.198531i | ||||
\(446\) | −23.0862 | + | 3.93663i | −1.09316 | + | 0.186405i | ||||
\(447\) | 12.4064 | − | 8.09038i | 0.586803 | − | 0.382662i | ||||
\(448\) | −5.76919 | + | 3.07548i | −0.272568 | + | 0.145303i | ||||
\(449\) | 5.90915 | 0.278870 | 0.139435 | − | 0.990231i | \(-0.455471\pi\) | ||||
0.139435 | + | 0.990231i | \(0.455471\pi\) | |||||||
\(450\) | −13.9254 | + | 3.96537i | −0.656450 | + | 0.186929i | ||||
\(451\) | −14.3625 | − | 14.3625i | −0.676302 | − | 0.676302i | ||||
\(452\) | −24.3699 | + | 8.55995i | −1.14627 | + | 0.402626i | ||||
\(453\) | 38.5392 | − | 12.6032i | 1.81073 | − | 0.592149i | ||||
\(454\) | 9.42185 | + | 6.67674i | 0.442189 | + | 0.313355i | ||||
\(455\) | −0.400784 | + | 0.231393i | −0.0187890 | + | 0.0108478i | ||||
\(456\) | 6.94716 | − | 4.36465i | 0.325330 | − | 0.204393i | ||||
\(457\) | −4.70096 | − | 2.71410i | −0.219902 | − | 0.126960i | 0.386003 | − | 0.922497i | \(-0.373855\pi\) |
−0.605905 | + | 0.795537i | \(0.707189\pi\) | |||||||
\(458\) | −2.65151 | − | 5.77093i | −0.123897 | − | 0.269658i | ||||
\(459\) | 27.9439 | + | 20.0600i | 1.30431 | + | 0.936320i | ||||
\(460\) | 0.587985 | + | 7.72287i | 0.0274149 | + | 0.360081i | ||||
\(461\) | −25.1830 | + | 6.74777i | −1.17289 | + | 0.314275i | −0.792103 | − | 0.610388i | \(-0.791014\pi\) |
−0.380787 | + | 0.924663i | \(0.624347\pi\) | |||||||
\(462\) | −1.13780 | + | 3.67242i | −0.0529352 | + | 0.170856i | ||||
\(463\) | −9.87708 | − | 17.1076i | −0.459027 | − | 0.795057i | 0.539883 | − | 0.841740i | \(-0.318468\pi\) |
−0.998910 | + | 0.0466825i | \(0.985135\pi\) | |||||||
\(464\) | −35.6304 | − | 3.92879i | −1.65410 | − | 0.182389i | ||||
\(465\) | 17.9611 | + | 9.10865i | 0.832924 | + | 0.422404i | ||||
\(466\) | 7.97980 | − | 6.61953i | 0.369657 | − | 0.306644i | ||||
\(467\) | 16.1348 | + | 16.1348i | 0.746628 | + | 0.746628i | 0.973844 | − | 0.227217i | \(-0.0729625\pi\) |
−0.227217 | + | 0.973844i | \(0.572963\pi\) | |||||||
\(468\) | 0.897069 | − | 2.54335i | 0.0414670 | − | 0.117566i | ||||
\(469\) | −3.12504 | + | 3.12504i | −0.144301 | + | 0.144301i | ||||
\(470\) | −0.499981 | − | 0.0465849i | −0.0230624 | − | 0.00214880i | ||||
\(471\) | −20.4839 | − | 31.4116i | −0.943848 | − | 1.44737i | ||||
\(472\) | 20.3354 | − | 5.08179i | 0.936013 | − | 0.233908i | ||||
\(473\) | −10.6727 | + | 6.16188i | −0.490731 | + | 0.283324i | ||||
\(474\) | −20.1152 | + | 31.9248i | −0.923921 | + | 1.46636i | ||||
\(475\) | −1.47925 | − | 5.52065i | −0.0678728 | − | 0.253305i | ||||
\(476\) | 7.04799 | − | 8.20964i | 0.323044 | − | 0.376288i | ||||
\(477\) | −16.0013 | − | 12.8572i | −0.732650 | − | 0.588691i | ||||
\(478\) | −3.34299 | + | 9.02609i | −0.152905 | + | 0.412844i | ||||
\(479\) | 11.1996 | − | 19.3982i | 0.511721 | − | 0.886327i | −0.488187 | − | 0.872739i | \(-0.662341\pi\) |
0.999908 | − | 0.0135877i | \(-0.00432523\pi\) | |||||||
\(480\) | 9.65976 | + | 7.68550i | 0.440905 | + | 0.350794i | ||||
\(481\) | 0.680593 | + | 1.17882i | 0.0310324 | + | 0.0537496i | ||||
\(482\) | 8.32793 | − | 1.42007i | 0.379327 | − | 0.0646823i | ||||
\(483\) | 2.90516 | − | 3.23886i | 0.132189 | − | 0.147373i | ||||
\(484\) | 4.84589 | + | 13.7961i | 0.220268 | + | 0.627096i | ||||
\(485\) | −7.96322 | + | 7.96322i | −0.361591 | + | 0.361591i | ||||
\(486\) | 21.6955 | − | 3.91203i | 0.984129 | − | 0.177453i | ||||
\(487\) | − | 8.27717i | − | 0.375074i | −0.982258 | − | 0.187537i | \(-0.939950\pi\) | ||
0.982258 | − | 0.187537i | \(-0.0600505\pi\) | |||||||
\(488\) | 20.7966 | − | 20.1046i | 0.941417 | − | 0.910093i | ||||
\(489\) | −3.42076 | + | 0.185795i | −0.154692 | + | 0.00840194i | ||||
\(490\) | 6.52318 | − | 9.20516i | 0.294687 | − | 0.415847i | ||||
\(491\) | 34.7589 | + | 9.31362i | 1.56865 | + | 0.420318i | 0.935388 | − | 0.353622i | \(-0.115050\pi\) |
0.633259 | + | 0.773940i | \(0.281717\pi\) | |||||||
\(492\) | 33.8369 | + | 14.0415i | 1.52549 | + | 0.633040i | ||||
\(493\) | 57.3043 | − | 15.3546i | 2.58086 | − | 0.691538i | ||||
\(494\) | 0.998302 | + | 0.369740i | 0.0449157 | + | 0.0166354i | ||||
\(495\) | 7.21649 | − | 0.786232i | 0.324357 | − | 0.0353385i | ||||
\(496\) | 5.58872 | + | 36.4897i | 0.250941 | + | 1.63844i | ||||
\(497\) | −1.33686 | + | 2.31551i | −0.0599664 | + | 0.103865i | ||||
\(498\) | 27.0156 | − | 6.13076i | 1.21060 | − | 0.274726i | ||||
\(499\) | −7.44528 | + | 27.7862i | −0.333297 | + | 1.24388i | 0.572407 | + | 0.819969i | \(0.306010\pi\) |
−0.905704 | + | 0.423911i | \(0.860657\pi\) | |||||||
\(500\) | 17.5003 | − | 11.9620i | 0.782637 | − | 0.534957i | ||||
\(501\) | −8.25795 | + | 39.2170i | −0.368938 | + | 1.75209i | ||||
\(502\) | −32.1431 | − | 2.99489i | −1.43462 | − | 0.133668i | ||||
\(503\) | − | 15.6106i | − | 0.696044i | −0.937486 | − | 0.348022i | \(-0.886854\pi\) | ||
0.937486 | − | 0.348022i | \(-0.113146\pi\) | |||||||
\(504\) | −0.634330 | − | 6.90525i | −0.0282553 | − | 0.307584i | ||||
\(505\) | 8.66815i | 0.385728i | ||||||||
\(506\) | −0.774553 | + | 8.31302i | −0.0344331 | + | 0.369559i | ||||
\(507\) | −21.0687 | + | 6.88995i | −0.935696 | + | 0.305994i | ||||
\(508\) | −5.42837 | + | 28.8776i | −0.240845 | + | 1.28124i | ||||
\(509\) | 2.65858 | − | 9.92195i | 0.117839 | − | 0.439783i | −0.881644 | − | 0.471915i | \(-0.843563\pi\) |
0.999484 | + | 0.0321319i | \(0.0102297\pi\) | |||||||
\(510\) | −19.5145 | − | 6.04603i | −0.864115 | − | 0.267723i | ||||
\(511\) | 2.01143 | − | 3.48390i | 0.0889804 | − | 0.154119i | ||||
\(512\) | −1.14782 | + | 22.5983i | −0.0507272 | + | 0.998713i | ||||
\(513\) | 1.41030 | + | 8.58710i | 0.0622664 | + | 0.379130i | ||||
\(514\) | 0.169477 | − | 0.457590i | 0.00747532 | − | 0.0201834i | ||||
\(515\) | 8.09583 | − | 2.16927i | 0.356745 | − | 0.0955896i | ||||
\(516\) | 13.5427 | − | 17.6255i | 0.596186 | − | 0.775920i | ||||
\(517\) | −0.522849 | − | 0.140097i | −0.0229949 | − | 0.00616145i | ||||
\(518\) | 2.85558 | + | 2.02359i | 0.125467 | + | 0.0889113i | ||||
\(519\) | −4.02028 | + | 7.92745i | −0.176471 | + | 0.347977i | ||||
\(520\) | −0.0270939 | + | 1.60149i | −0.00118815 | + | 0.0702300i | ||||
\(521\) | − | 21.2775i | − | 0.932185i | −0.884736 | − | 0.466092i | \(-0.845661\pi\) | ||
0.884736 | − | 0.466092i | \(-0.154339\pi\) | |||||||
\(522\) | 18.4939 | − | 33.2198i | 0.809456 | − | 1.45399i | ||||
\(523\) | −2.96994 | + | 2.96994i | −0.129867 | + | 0.129867i | −0.769052 | − | 0.639186i | \(-0.779271\pi\) |
0.639186 | + | 0.769052i | \(0.279271\pi\) | |||||||
\(524\) | 18.0810 | + | 8.68090i | 0.789874 | + | 0.379227i | ||||
\(525\) | −4.72694 | − | 0.995354i | −0.206300 | − | 0.0434408i | ||||
\(526\) | −1.21636 | − | 7.13328i | −0.0530357 | − | 0.311026i | ||||
\(527\) | −30.5474 | − | 52.9097i | −1.33067 | − | 2.30478i | ||||
\(528\) | 8.87206 | + | 9.91708i | 0.386107 | + | 0.431585i | ||||
\(529\) | −6.77581 | + | 11.7360i | −0.294600 | + | 0.510263i | ||||
\(530\) | 11.4321 | + | 4.23411i | 0.496580 | + | 0.183918i | ||||
\(531\) | −3.39439 | + | 21.9716i | −0.147304 | + | 0.953486i | ||||
\(532\) | 2.72934 | − | 0.207800i | 0.118332 | − | 0.00900925i | ||||
\(533\) | 1.23031 | + | 4.59158i | 0.0532906 | + | 0.198883i | ||||
\(534\) | 0.325683 | − | 8.42344i | 0.0140937 | − | 0.364518i | ||||
\(535\) | −6.26869 | + | 3.61923i | −0.271019 | + | 0.156473i | ||||
\(536\) | 3.70841 | + | 14.8397i | 0.160179 | + | 0.640976i | ||||
\(537\) | −7.69926 | + | 0.418177i | −0.332248 | + | 0.0180457i | ||||
\(538\) | 2.86874 | − | 30.7892i | 0.123680 | − | 1.32742i | ||||
\(539\) | 8.59960 | − | 8.59960i | 0.370411 | − | 0.370411i | ||||
\(540\) | −11.4866 | + | 6.28364i | −0.494303 | + | 0.270405i | ||||
\(541\) | −15.1934 | − | 15.1934i | −0.653214 | − | 0.653214i | 0.300552 | − | 0.953765i | \(-0.402829\pi\) |
−0.953765 | + | 0.300552i | \(0.902829\pi\) | |||||||
\(542\) | −11.2005 | − | 13.5021i | −0.481102 | − | 0.579966i | ||||
\(543\) | −0.375709 | − | 6.91736i | −0.0161232 | − | 0.296853i | ||||
\(544\) | −11.8110 | − | 35.5371i | −0.506394 | − | 1.52364i | ||||
\(545\) | −6.41244 | − | 11.1067i | −0.274679 | − | 0.475757i | ||||
\(546\) | 0.660337 | − | 0.611175i | 0.0282598 | − | 0.0261559i | ||||
\(547\) | 33.6172 | − | 9.00771i | 1.43737 | − | 0.385142i | 0.545757 | − | 0.837943i | \(-0.316242\pi\) |
0.891611 | + | 0.452802i | \(0.149575\pi\) | |||||||
\(548\) | −3.56570 | + | 4.15339i | −0.152319 | + | 0.177424i | ||||
\(549\) | 11.1036 | + | 28.6005i | 0.473892 | + | 1.22064i | ||||
\(550\) | 8.42303 | − | 3.87005i | 0.359159 | − | 0.165020i | ||||
\(551\) | 12.9975 | + | 7.50410i | 0.553712 | + | 0.319686i | ||||
\(552\) | −4.43780 | − | 14.3898i | −0.188885 | − | 0.612472i | ||||
\(553\) | −10.9023 | + | 6.29447i | −0.463615 | + | 0.267668i | ||||
\(554\) | 17.1523 | − | 24.2044i | 0.728732 | − | 1.02835i | ||||
\(555\) | 1.36165 | − | 6.46645i | 0.0577987 | − | 0.274486i | ||||
\(556\) | −7.58358 | + | 15.7955i | −0.321615 | + | 0.669877i | ||||
\(557\) | 15.3686 | + | 15.3686i | 0.651189 | + | 0.651189i | 0.953279 | − | 0.302091i | \(-0.0976845\pi\) |
−0.302091 | + | 0.953279i | \(0.597685\pi\) | |||||||
\(558\) | −37.9740 | − | 9.54212i | −1.60757 | − | 0.403950i | ||||
\(559\) | 2.88415 | 0.121986 | ||||||||
\(560\) | 1.65587 | + | 3.77080i | 0.0699732 | + | 0.159345i | ||||
\(561\) | −19.6409 | − | 9.96058i | −0.829241 | − | 0.420536i | ||||
\(562\) | 3.00673 | + | 17.6328i | 0.126831 | + | 0.743797i | ||||
\(563\) | −4.11840 | + | 15.3701i | −0.173570 | + | 0.647772i | 0.823221 | + | 0.567721i | \(0.192175\pi\) |
−0.996791 | + | 0.0800506i | \(0.974492\pi\) | |||||||
\(564\) | 0.968025 | − | 0.126803i | 0.0407612 | − | 0.00533935i | ||||
\(565\) | 4.21123 | + | 15.7165i | 0.177168 | + | 0.661199i | ||||
\(566\) | −12.9883 | − | 28.2686i | −0.545939 | − | 1.18822i | ||||
\(567\) | 7.01206 | + | 2.21956i | 0.294479 | + | 0.0932128i | ||||
\(568\) | 4.49071 | + | 8.09120i | 0.188426 | + | 0.339499i | ||||
\(569\) | 36.4673 | + | 21.0544i | 1.52879 | + | 0.882647i | 0.999413 | + | 0.0342597i | \(0.0109073\pi\) |
0.529376 | + | 0.848387i | \(0.322426\pi\) | |||||||
\(570\) | −2.40928 | − | 4.57235i | −0.100914 | − | 0.191515i | ||||
\(571\) | −37.8497 | − | 10.1418i | −1.58396 | − | 0.424421i | −0.643813 | − | 0.765183i | \(-0.722648\pi\) |
−0.940150 | + | 0.340762i | \(0.889315\pi\) | |||||||
\(572\) | −0.318975 | + | 1.69687i | −0.0133370 | + | 0.0709495i | ||||
\(573\) | −9.15622 | − | 27.9987i | −0.382506 | − | 1.16966i | ||||
\(574\) | 7.80346 | + | 9.40702i | 0.325710 | + | 0.392642i | ||||
\(575\) | −10.4901 | −0.437469 | ||||||||
\(576\) | −21.6221 | − | 10.4156i | −0.900921 | − | 0.433984i | ||||
\(577\) | 13.5220 | 0.562927 | 0.281463 | − | 0.959572i | \(-0.409180\pi\) | ||||
0.281463 | + | 0.959572i | \(0.409180\pi\) | |||||||
\(578\) | 24.2204 | + | 29.1975i | 1.00743 | + | 1.21446i | ||||
\(579\) | 9.18525 | + | 1.93414i | 0.381726 | + | 0.0803803i | ||||
\(580\) | −4.17165 | + | 22.1921i | −0.173218 | + | 0.921478i | ||||
\(581\) | 8.92739 | + | 2.39209i | 0.370371 | + | 0.0992405i | ||||
\(582\) | 11.6722 | − | 18.5249i | 0.483826 | − | 0.767882i | ||||
\(583\) | 11.3808 | + | 6.57071i | 0.471345 | + | 0.272131i | ||||
\(584\) | −6.75668 | − | 12.1740i | −0.279593 | − | 0.503762i | ||||
\(585\) | −1.55462 | − | 0.685092i | −0.0642756 | − | 0.0283251i | ||||
\(586\) | −0.0682270 | − | 0.148494i | −0.00281843 | − | 0.00613422i | ||||
\(587\) | 8.32769 | + | 31.0793i | 0.343720 | + | 1.28278i | 0.894100 | + | 0.447867i | \(0.147816\pi\) |
−0.550380 | + | 0.834915i | \(0.685517\pi\) | |||||||
\(588\) | −8.40742 | + | 20.2600i | −0.346716 | + | 0.835510i | ||||
\(589\) | 4.00024 | − | 14.9291i | 0.164827 | − | 0.615143i | ||||
\(590\) | −2.21947 | − | 13.0160i | −0.0913743 | − | 0.535861i | ||||
\(591\) | −1.06797 | − | 19.6628i | −0.0439303 | − | 0.808821i | ||||
\(592\) | 11.0910 | − | 4.87039i | 0.455838 | − | 0.200172i | ||||
\(593\) | −24.2071 | −0.994066 | −0.497033 | − | 0.867732i | \(-0.665577\pi\) | ||||
−0.497033 | + | 0.867732i | \(0.665577\pi\) | |||||||
\(594\) | −13.3444 | + | 4.59580i | −0.547528 | + | 0.188568i | ||||
\(595\) | −4.81956 | − | 4.81956i | −0.197583 | − | 0.197583i | ||||
\(596\) | 7.40220 | − | 15.4177i | 0.303206 | − | 0.631533i | ||||
\(597\) | −14.4741 | − | 12.9828i | −0.592386 | − | 0.531351i | ||||
\(598\) | 1.12974 | − | 1.59422i | 0.0461984 | − | 0.0651926i | ||||
\(599\) | −33.5549 | + | 19.3729i | −1.37102 | + | 0.791557i | −0.991056 | − | 0.133445i | \(-0.957396\pi\) |
−0.379961 | + | 0.925003i | \(0.624063\pi\) | |||||||
\(600\) | −11.3724 | + | 12.2552i | −0.464277 | + | 0.500316i | ||||
\(601\) | −21.4630 | − | 12.3917i | −0.875493 | − | 0.505466i | −0.00632336 | − | 0.999980i | \(-0.502013\pi\) |
−0.869170 | + | 0.494514i | \(0.835346\pi\) | |||||||
\(602\) | 6.73850 | − | 3.09608i | 0.274641 | − | 0.126187i | ||||
\(603\) | −16.0337 | − | 2.47704i | −0.652941 | − | 0.100873i | ||||
\(604\) | 30.4981 | − | 35.5248i | 1.24095 | − | 1.44548i | ||||
\(605\) | 8.89730 | − | 2.38402i | 0.361727 | − | 0.0969244i | ||||
\(606\) | −3.72969 | − | 16.4351i | −0.151508 | − | 0.667630i | ||||
\(607\) | 5.85399 | + | 10.1394i | 0.237606 | + | 0.411546i | 0.960027 | − | 0.279908i | \(-0.0903039\pi\) |
−0.722421 | + | 0.691454i | \(0.756971\pi\) | |||||||
\(608\) | 4.24421 | − | 8.46980i | 0.172125 | − | 0.343496i | ||||
\(609\) | 10.6252 | − | 6.92884i | 0.430555 | − | 0.280771i | ||||
\(610\) | −11.6335 | − | 14.0241i | −0.471027 | − | 0.567820i | ||||
\(611\) | 0.0895759 | + | 0.0895759i | 0.00362385 | + | 0.00362385i | ||||
\(612\) | 39.6015 | + | 3.06688i | 1.60080 | + | 0.123971i | ||||
\(613\) | −24.6378 | + | 24.6378i | −0.995112 | + | 0.995112i | −0.999988 | − | 0.00487577i | \(-0.998448\pi\) |
0.00487577 | + | 0.999988i | \(0.498448\pi\) | |||||||
\(614\) | 2.30864 | − | 24.7778i | 0.0931690 | − | 0.999952i | ||||
\(615\) | 10.4378 | − | 20.5820i | 0.420895 | − | 0.829948i | ||||
\(616\) | 1.07630 | + | 4.30696i | 0.0433655 | + | 0.173532i | ||||
\(617\) | 4.72698 | − | 2.72912i | 0.190301 | − | 0.109870i | −0.401822 | − | 0.915718i | \(-0.631623\pi\) |
0.592123 | + | 0.805847i | \(0.298290\pi\) | |||||||
\(618\) | −14.4166 | + | 7.59645i | −0.579920 | + | 0.305574i | ||||
\(619\) | −4.43389 | − | 16.5475i | −0.178213 | − | 0.665101i | −0.995982 | − | 0.0895538i | \(-0.971456\pi\) |
0.817769 | − | 0.575547i | \(-0.195211\pi\) | |||||||
\(620\) | 23.1871 | − | 1.76536i | 0.931215 | − | 0.0708985i | ||||
\(621\) | 15.8938 | + | 1.57893i | 0.637797 | + | 0.0633602i | ||||
\(622\) | −3.11038 | − | 1.15199i | −0.124715 | − | 0.0461906i | ||||
\(623\) | 1.40620 | − | 2.43561i | 0.0563381 | − | 0.0975805i | ||||
\(624\) | −0.637710 | − | 3.04814i | −0.0255288 | − | 0.122023i | ||||
\(625\) | 1.85520 | + | 3.21329i | 0.0742078 | + | 0.128532i | ||||
\(626\) | 2.36694 | + | 13.8808i | 0.0946019 | + | 0.554789i | ||||
\(627\) | −1.73166 | − | 5.29522i | −0.0691557 | − | 0.211471i | ||||
\(628\) | −39.0358 | − | 18.7415i | −1.55770 | − | 0.747867i | ||||
\(629\) | −14.1757 | + | 14.1757i | −0.565223 | + | 0.565223i | ||||
\(630\) | −4.36764 | + | 0.0682106i | −0.174011 | + | 0.00271758i | ||||
\(631\) | 5.04281i | 0.200751i | 0.994950 | + | 0.100376i | \(0.0320045\pi\) | ||||
−0.994950 | + | 0.100376i | \(0.967996\pi\) | |||||||
\(632\) | −0.737023 | + | 43.5646i | −0.0293172 | + | 1.73291i | ||||
\(633\) | −14.0562 | − | 21.5548i | −0.558682 | − | 0.856726i | ||||
\(634\) | 5.29176 | + | 3.74998i | 0.210163 | + | 0.148931i | ||||
\(635\) | 17.8789 | + | 4.79063i | 0.709502 | + | 0.190111i | ||||
\(636\) | −23.4975 | − | 3.10905i | −0.931738 | − | 0.123282i | ||||
\(637\) | −2.74923 | + | 0.736654i | −0.108929 | + | 0.0291873i | ||||
\(638\) | −8.45401 | + | 22.8259i | −0.334698 | + | 0.903686i | ||||
\(639\) | −9.75747 | + | 1.06307i | −0.385999 | + | 0.0420544i | ||||
\(640\) | 14.1395 | + | 1.80166i | 0.558911 | + | 0.0712169i | ||||
\(641\) | 10.2406 | − | 17.7373i | 0.404480 | − | 0.700579i | −0.589781 | − | 0.807563i | \(-0.700786\pi\) |
0.994261 | + | 0.106984i | \(0.0341193\pi\) | |||||||
\(642\) | 10.3284 | − | 9.55944i | 0.407629 | − | 0.377281i | ||||
\(643\) | −10.7731 | + | 40.2059i | −0.424851 | + | 1.58557i | 0.339397 | + | 0.940643i | \(0.389777\pi\) |
−0.764248 | + | 0.644922i | \(0.776890\pi\) | |||||||
\(644\) | 0.928143 | − | 4.93749i | 0.0365740 | − | 0.194564i | ||||
\(645\) | −10.4232 | − | 9.34931i | −0.410414 | − | 0.368129i | ||||
\(646\) | −1.45457 | + | 15.6114i | −0.0572292 | + | 0.614222i | ||||
\(647\) | − | 9.07428i | − | 0.356747i | −0.983963 | − | 0.178373i | \(-0.942917\pi\) | ||
0.983963 | − | 0.178373i | \(-0.0570835\pi\) | |||||||
\(648\) | 19.0752 | − | 16.8564i | 0.749344 | − | 0.662181i | ||||
\(649\) | − | 14.2332i | − | 0.558704i | ||||||
\(650\) | −2.16001 | − | 0.201256i | −0.0847226 | − | 0.00789390i | ||||
\(651\) | −9.72432 | − | 8.72241i | −0.381126 | − | 0.341858i | ||||
\(652\) | −3.26576 | + | 2.23225i | −0.127897 | + | 0.0874217i | ||||
\(653\) | −8.05224 | + | 30.0514i | −0.315109 | + | 1.17600i | 0.608780 | + | 0.793339i | \(0.291659\pi\) |
−0.923888 | + | 0.382662i | \(0.875007\pi\) | |||||||
\(654\) | 16.9371 | + | 18.2995i | 0.662294 | + | 0.715567i | ||||
\(655\) | 6.31729 | − | 10.9419i | 0.246837 | − | 0.427534i | ||||
\(656\) | 41.8145 | − | 6.40427i | 1.63258 | − | 0.250045i | ||||
\(657\) | 14.6810 | − | 1.59948i | 0.572760 | − | 0.0624018i | ||||
\(658\) | 0.305443 | + | 0.113127i | 0.0119074 | + | 0.00441013i | ||||
\(659\) | −12.3336 | + | 3.30479i | −0.480450 | + | 0.128736i | −0.490912 | − | 0.871209i | \(-0.663336\pi\) |
0.0104620 | + | 0.999945i | \(0.496670\pi\) | |||||||
\(660\) | 6.65336 | − | 5.09843i | 0.258982 | − | 0.198456i | ||||
\(661\) | 42.7191 | + | 11.4466i | 1.66158 | + | 0.445219i | 0.962822 | − | 0.270137i | \(-0.0870692\pi\) |
0.698759 | + | 0.715357i | \(0.253736\pi\) | |||||||
\(662\) | −14.1998 | + | 20.0380i | −0.551891 | + | 0.778799i | ||||
\(663\) | 2.81522 | + | 4.31708i | 0.109334 | + | 0.167661i | ||||
\(664\) | 22.9983 | − | 22.2331i | 0.892509 | − | 0.862812i | ||||
\(665\) | − | 1.72428i | − | 0.0668647i | ||||||
\(666\) | 0.200627 | + | 12.8465i | 0.00777415 | + | 0.497792i | ||||
\(667\) | 19.4782 | − | 19.4782i | 0.754198 | − | 0.754198i | ||||
\(668\) | 15.3362 | + | 43.6618i | 0.593377 | + | 1.68933i | ||||
\(669\) | −8.91533 | − | 27.2621i | −0.344686 | − | 1.05401i | ||||
\(670\) | 9.49838 | − | 1.61965i | 0.366954 | − | 0.0625726i | ||||
\(671\) | −9.82087 | − | 17.0102i | −0.379131 | − | 0.656673i | ||||
\(672\) | −4.76206 | − | 6.43708i | −0.183700 | − | 0.248316i | ||||
\(673\) | −16.9683 | + | 29.3899i | −0.654079 | + | 1.13290i | 0.328045 | + | 0.944662i | \(0.393610\pi\) |
−0.982124 | + | 0.188236i | \(0.939723\pi\) | |||||||
\(674\) | 14.5804 | − | 39.3673i | 0.561617 | − | 1.51637i | ||||
\(675\) | −7.30495 | − | 16.1586i | −0.281168 | − | 0.621944i | ||||
\(676\) | −16.6728 | + | 19.4208i | −0.641262 | + | 0.746955i | ||||
\(677\) | 10.7072 | + | 39.9599i | 0.411512 | + | 1.53578i | 0.791721 | + | 0.610882i | \(0.209185\pi\) |
−0.380210 | + | 0.924900i | \(0.624148\pi\) | |||||||
\(678\) | −14.7470 | − | 27.9870i | −0.566357 | − | 1.07484i | ||||
\(679\) | 6.32626 | − | 3.65247i | 0.242780 | − | 0.140169i | ||||
\(680\) | −22.8863 | + | 5.71925i | −0.877649 | + | 0.219323i | ||||
\(681\) | −6.39684 | + | 12.6137i | −0.245127 | + | 0.483359i | ||||
\(682\) | 24.9589 | + | 2.32551i | 0.955726 | + | 0.0890483i | ||||
\(683\) | 0.0872426 | − | 0.0872426i | 0.00333824 | − | 0.00333824i | −0.705436 | − | 0.708774i | \(-0.749249\pi\) |
0.708774 | + | 0.705436i | \(0.249249\pi\) | |||||||
\(684\) | 6.53545 | + | 7.63267i | 0.249889 | + | 0.291843i | ||||
\(685\) | 2.43830 | + | 2.43830i | 0.0931625 | + | 0.0931625i | ||||
\(686\) | −11.8591 | + | 9.83752i | −0.452781 | + | 0.375598i | ||||
\(687\) | 6.51533 | − | 4.24873i | 0.248575 | − | 0.162099i | ||||
\(688\) | 2.81304 | − | 25.5116i | 0.107246 | − | 0.972619i | ||||
\(689\) | −1.53775 | − | 2.66347i | −0.0585837 | − | 0.101470i | ||||
\(690\) | −9.25071 | + | 2.09930i | −0.352169 | + | 0.0799191i | ||||
\(691\) | −13.5322 | + | 3.62594i | −0.514789 | + | 0.137937i | −0.506855 | − | 0.862031i | \(-0.669192\pi\) |
−0.00793395 | + | 0.999969i | \(0.502525\pi\) | |||||||
\(692\) | 0.779175 | + | 10.2340i | 0.0296198 | + | 0.389040i | ||||
\(693\) | −4.65350 | − | 0.718918i | −0.176772 | − | 0.0273094i | ||||
\(694\) | 1.18698 | + | 2.58343i | 0.0450573 | + | 0.0980656i | ||||
\(695\) | 9.55874 | + | 5.51874i | 0.362584 | + | 0.209338i | ||||
\(696\) | −1.63913 | − | 43.8720i | −0.0621311 | − | 1.66296i | ||||
\(697\) | −60.6306 | + | 35.0051i | −2.29655 | + | 1.32591i | ||||
\(698\) | 31.8138 | + | 22.5447i | 1.20417 | + | 0.853329i | ||||
\(699\) | 9.45270 | + | 8.47877i | 0.357534 | + | 0.320696i | ||||
\(700\) | −5.26268 | + | 1.84852i | −0.198911 | + | 0.0698675i | ||||
\(701\) | 10.7257 | + | 10.7257i | 0.405103 | + | 0.405103i | 0.880027 | − | 0.474924i | \(-0.157525\pi\) |
−0.474924 | + | 0.880027i | \(0.657525\pi\) | |||||||
\(702\) | 3.24239 | + | 0.630043i | 0.122376 | + | 0.0237794i | ||||
\(703\) | −5.07161 | −0.191279 | ||||||||
\(704\) | 14.6984 | + | 4.47650i | 0.553967 | + | 0.168715i | ||||
\(705\) | −0.0333540 | − | 0.614096i | −0.00125618 | − | 0.0231282i | ||||
\(706\) | 4.42364 | − | 0.754313i | 0.166486 | − | 0.0283889i | ||||
\(707\) | 1.45524 | − | 5.43104i | 0.0547300 | − | 0.204255i | ||||
\(708\) | 9.80867 | + | 23.7238i | 0.368632 | + | 0.891596i | ||||
\(709\) | −10.7081 | − | 39.9633i | −0.402153 | − | 1.50085i | −0.809247 | − | 0.587468i | \(-0.800125\pi\) |
0.407095 | − | 0.913386i | \(-0.366542\pi\) | |||||||
\(710\) | 5.29697 | − | 2.43375i | 0.198792 | − | 0.0913370i | ||||
\(711\) | −42.2896 | − | 18.6363i | −1.58599 | − | 0.698914i | ||||
\(712\) | −4.72362 | − | 8.51086i | −0.177025 | − | 0.318958i | ||||
\(713\) | −24.5671 | − | 14.1839i | −0.920047 | − | 0.531189i | ||||
\(714\) | 11.2118 | + | 7.06431i | 0.419590 | + | 0.264375i | ||||
\(715\) | 1.05057 | + | 0.281501i | 0.0392893 | + | 0.0105275i | ||||
\(716\) | −7.35040 | + | 5.02423i | −0.274697 | + | 0.187764i | ||||
\(717\) | −11.5355 | − | 2.42905i | −0.430802 | − | 0.0907144i | ||||
\(718\) | −24.7077 | + | 20.4959i | −0.922083 | + | 0.764901i | ||||
\(719\) | −34.2734 | −1.27818 | −0.639091 | − | 0.769131i | \(-0.720689\pi\) | ||||
−0.639091 | + | 0.769131i | \(0.720689\pi\) | |||||||
\(720\) | −7.57623 | + | 13.0831i | −0.282349 | + | 0.487578i | ||||
\(721\) | −5.43664 | −0.202471 | ||||||||
\(722\) | 17.6279 | − | 14.6230i | 0.656043 | − | 0.544211i | ||||
\(723\) | 3.21604 | + | 9.83430i | 0.119606 | + | 0.365742i | ||||
\(724\) | −4.51400 | − | 6.60393i | −0.167761 | − | 0.245433i | ||||
\(725\) | −29.5413 | − | 7.91558i | −1.09714 | − | 0.293977i | ||||
\(726\) | −15.8438 | + | 8.34848i | −0.588018 | + | 0.309841i | ||||
\(727\) | 28.8380 | + | 16.6496i | 1.06954 | + | 0.617501i | 0.928057 | − | 0.372439i | \(-0.121478\pi\) |
0.141487 | + | 0.989940i | \(0.454812\pi\) | |||||||
\(728\) | 0.285840 | − | 0.998867i | 0.0105939 | − | 0.0370205i | ||||
\(729\) | 8.63576 | + | 25.5817i | 0.319843 | + | 0.947471i | ||||
\(730\) | −7.96978 | + | 3.66180i | −0.294975 | + | 0.135529i | ||||
\(731\) | 10.9940 | + | 41.0302i | 0.406629 | + | 1.51756i | ||||
\(732\) | 28.0917 | + | 21.5846i | 1.03830 | + | 0.797789i | ||||
\(733\) | −9.71001 | + | 36.2382i | −0.358647 | + | 1.33849i | 0.517185 | + | 0.855874i | \(0.326980\pi\) |
−0.875832 | + | 0.482616i | \(0.839687\pi\) | |||||||
\(734\) | −5.41299 | + | 0.923016i | −0.199797 | + | 0.0340691i | ||||
\(735\) | 12.3236 | + | 6.24972i | 0.454563 | + | 0.230524i | ||||
\(736\) | −12.9997 | − | 11.5479i | −0.479176 | − | 0.425663i | ||||
\(737\) | 10.3866 | 0.382597 | ||||||||
\(738\) | −10.9346 | + | 43.5154i | −0.402507 | + | 1.60182i | ||||
\(739\) | −8.57380 | − | 8.57380i | −0.315392 | − | 0.315392i | 0.531602 | − | 0.846994i | \(-0.321590\pi\) |
−0.846994 | + | 0.531602i | \(0.821590\pi\) | |||||||
\(740\) | −2.52878 | − | 7.19936i | −0.0929597 | − | 0.264654i | ||||
\(741\) | −0.268657 | + | 1.27585i | −0.00986936 | + | 0.0468696i | ||||
\(742\) | −6.45198 | − | 4.57216i | −0.236860 | − | 0.167849i | ||||
\(743\) | −10.3476 | + | 5.97418i | −0.379616 | + | 0.219172i | −0.677651 | − | 0.735383i | \(-0.737002\pi\) |
0.298035 | + | 0.954555i | \(0.403669\pi\) | |||||||
\(744\) | −43.2038 | + | 13.3240i | −1.58393 | + | 0.488481i | ||||
\(745\) | −9.33012 | − | 5.38674i | −0.341829 | − | 0.197355i | ||||
\(746\) | 2.66619 | + | 5.80286i | 0.0976160 | + | 0.212458i | ||||
\(747\) | 12.2792 | + | 31.6285i | 0.449272 | + | 1.15723i | ||||
\(748\) | −25.3557 | + | 1.93047i | −0.927097 | + | 0.0705850i | ||||
\(749\) | 4.53526 | − | 1.21522i | 0.165715 | − | 0.0444032i | ||||
\(750\) | 17.6349 | + | 19.0534i | 0.643937 | + | 0.695733i | ||||
\(751\) | 12.2293 | + | 21.1818i | 0.446254 | + | 0.772934i | 0.998139 | − | 0.0609863i | \(-0.0194246\pi\) |
−0.551885 | + | 0.833920i | \(0.686091\pi\) | |||||||
\(752\) | 0.879706 | − | 0.704971i | 0.0320796 | − | 0.0257077i | ||||
\(753\) | −2.14429 | − | 39.4795i | −0.0781421 | − | 1.43871i | ||||
\(754\) | 4.38442 | − | 3.63704i | 0.159671 | − | 0.132453i | ||||
\(755\) | −20.8552 | − | 20.8552i | −0.758999 | − | 0.758999i | ||||
\(756\) | 8.25183 | − | 2.00861i | 0.300116 | − | 0.0730526i | ||||
\(757\) | 5.77221 | − | 5.77221i | 0.209794 | − | 0.209794i | −0.594386 | − | 0.804180i | \(-0.702605\pi\) |
0.804180 | + | 0.594386i | \(0.202605\pi\) | |||||||
\(758\) | 29.0957 | + | 2.71095i | 1.05680 | + | 0.0984660i | ||||
\(759\) | −10.2104 | + | 0.554566i | −0.370613 | + | 0.0201295i | ||||
\(760\) | −5.11706 | − | 3.07090i | −0.185615 | − | 0.111393i | ||||
\(761\) | 35.8368 | − | 20.6904i | 1.29908 | − | 0.750025i | 0.318836 | − | 0.947810i | \(-0.396708\pi\) |
0.980246 | + | 0.197784i | \(0.0633746\pi\) | |||||||
\(762\) | −35.9603 | − | 1.39036i | −1.30270 | − | 0.0503675i | ||||
\(763\) | 2.15309 | + | 8.03544i | 0.0779471 | + | 0.290902i | ||||
\(764\) | −25.8088 | − | 22.1569i | −0.933729 | − | 0.801608i | ||||
\(765\) | 3.82018 | − | 24.7277i | 0.138119 | − | 0.894032i | ||||
\(766\) | −14.1620 | + | 38.2374i | −0.511692 | + | 1.38157i | ||||
\(767\) | −1.66551 | + | 2.88475i | −0.0601382 | + | 0.104162i | ||||
\(768\) | −27.5841 | + | 2.66785i | −0.995355 | + | 0.0962676i | ||||
\(769\) | 19.7893 | + | 34.2761i | 0.713622 | + | 1.23603i | 0.963489 | + | 0.267749i | \(0.0862798\pi\) |
−0.249867 | + | 0.968280i | \(0.580387\pi\) | |||||||
\(770\) | 2.75674 | − | 0.470076i | 0.0993461 | − | 0.0169404i | ||||
\(771\) | 0.584809 | + | 0.123144i | 0.0210614 | + | 0.00443491i | ||||
\(772\) | 10.2263 | − | 3.59199i | 0.368053 | − | 0.129279i | ||||
\(773\) | 34.1627 | − | 34.1627i | 1.22875 | − | 1.22875i | 0.264307 | − | 0.964439i | \(-0.414857\pi\) |
0.964439 | − | 0.264307i | \(-0.0851433\pi\) | |||||||
\(774\) | 23.7856 | + | 13.2417i | 0.854955 | + | 0.475965i | ||||
\(775\) | 31.4954i | 1.13135i | ||||||||
\(776\) | 0.427670 | − | 25.2791i | 0.0153524 | − | 0.907466i | ||||
\(777\) | −1.93875 | + | 3.82297i | −0.0695524 | + | 0.137148i | ||||
\(778\) | −0.161203 | + | 0.227481i | −0.00577940 | + | 0.00815557i | ||||
\(779\) | −17.1076 | − | 4.58398i | −0.612945 | − | 0.164238i | ||||
\(780\) | −1.94508 | + | 0.254788i | −0.0696451 | + | 0.00912288i | ||||
\(781\) | 6.06965 | − | 1.62636i | 0.217189 | − | 0.0581957i | ||||
\(782\) | 26.9861 | + | 9.99480i | 0.965019 | + | 0.357413i | ||||
\(783\) | 43.5673 | + | 16.4395i | 1.55697 | + | 0.587500i | ||||
\(784\) | 3.83459 | + | 25.0367i | 0.136950 | + | 0.894167i | ||||
\(785\) | −13.6386 | + | 23.6228i | −0.486783 | + | 0.843132i | ||||
\(786\) | −7.26978 | + | 23.4643i | −0.259304 | + | 0.836944i | ||||
\(787\) | 10.0877 | − | 37.6477i | 0.359586 | − | 1.34199i | −0.515028 | − | 0.857174i | \(-0.672218\pi\) |
0.874614 | − | 0.484820i | \(-0.161115\pi\) | |||||||
\(788\) | −12.8312 | − | 18.7719i | −0.457092 | − | 0.668721i | ||||
\(789\) | 8.42357 | − | 2.75470i | 0.299887 | − | 0.0980698i | ||||
\(790\) | 27.3284 | + | 2.54628i | 0.972302 | + | 0.0905927i | ||||
\(791\) | − | 10.5542i | − | 0.375264i | ||||||
\(792\) | −10.4213 | + | 12.5296i | −0.370303 | + | 0.445219i | ||||
\(793\) | 4.59678i | 0.163237i | ||||||||
\(794\) | 1.85266 | − | 19.8840i | 0.0657484 | − | 0.705655i | ||||
\(795\) | −3.07655 | + | 14.6105i | −0.109114 | + | 0.518181i | ||||
\(796\) | −22.0651 | − | 4.14776i | −0.782075 | − | 0.147014i | ||||
\(797\) | 0.736732 | − | 2.74952i | 0.0260964 | − | 0.0973931i | −0.951649 | − | 0.307186i | \(-0.900612\pi\) |
0.977746 | + | 0.209793i | \(0.0672791\pi\) | |||||||
\(798\) | 0.741914 | + | 3.26929i | 0.0262635 | + | 0.115732i | ||||
\(799\) | −0.932866 | + | 1.61577i | −0.0330024 | + | 0.0571619i | ||||
\(800\) | −3.88695 | + | 18.9100i | −0.137425 | + | 0.668569i | ||||
\(801\) | 10.2635 | − | 1.11821i | 0.362645 | − | 0.0395099i | ||||
\(802\) | −0.389738 | + | 1.05230i | −0.0137621 | + | 0.0371579i | ||||
\(803\) | −9.13235 | + | 2.44701i | −0.322274 | + | 0.0863529i | ||||
\(804\) | −17.3123 | + | 7.15783i | −0.610559 | + | 0.252437i | ||||
\(805\) | −3.05693 | − | 0.819102i | −0.107743 | − | 0.0288696i | ||||
\(806\) | −4.78648 | − | 3.39191i | −0.168596 | − | 0.119475i | ||||
\(807\) | 37.8165 | − | 2.05397i | 1.33121 | − | 0.0723030i | ||||
\(808\) | −13.5257 | − | 13.9912i | −0.475832 | − | 0.492209i | ||||
\(809\) | 14.8679i | 0.522727i | 0.965240 | + | 0.261364i | \(0.0841722\pi\) | ||||
−0.965240 | + | 0.261364i | \(0.915828\pi\) | |||||||
\(810\) | −9.67555 | − | 12.7875i | −0.339964 | − | 0.449309i | ||||
\(811\) | 11.8984 | − | 11.8984i | 0.417808 | − | 0.417808i | −0.466640 | − | 0.884447i | \(-0.654536\pi\) |
0.884447 | + | 0.466640i | \(0.154536\pi\) | |||||||
\(812\) | 6.33945 | − | 13.2042i | 0.222471 | − | 0.463375i | ||||
\(813\) | 14.3464 | − | 15.9943i | 0.503150 | − | 0.560945i | ||||
\(814\) | −1.38263 | − | 8.10839i | −0.0484612 | − | 0.284199i | ||||
\(815\) | 1.24594 | + | 2.15803i | 0.0436433 | + | 0.0755925i | ||||
\(816\) | 40.9323 | − | 20.6913i | 1.43292 | − | 0.724339i | ||||
\(817\) | −5.37299 | + | 9.30628i | −0.187977 | + | 0.325586i | ||||
\(818\) | −0.345395 | − | 0.127924i | −0.0120765 | − | 0.00447275i | ||||
\(819\) | 0.859033 | + | 0.690240i | 0.0300170 | + | 0.0241190i | ||||
\(820\) | −2.02297 | − | 26.5707i | −0.0706452 | − | 0.927888i | ||||
\(821\) | −13.0740 | − | 48.7927i | −0.456285 | − | 1.70288i | −0.684283 | − | 0.729216i | \(-0.739885\pi\) |
0.227999 | − | 0.973661i | \(-0.426782\pi\) | |||||||
\(822\) | −5.67223 | − | 3.57395i | −0.197842 | − | 0.124656i | ||||
\(823\) | 14.3773 | − | 8.30076i | 0.501163 | − | 0.289346i | −0.228031 | − | 0.973654i | \(-0.573229\pi\) |
0.729194 | + | 0.684307i | \(0.239895\pi\) | |||||||
\(824\) | −9.68252 | + | 16.1340i | −0.337307 | + | 0.562056i | ||||
\(825\) | 6.20129 | + | 9.50953i | 0.215901 | + | 0.331079i | ||||
\(826\) | −0.794567 | + | 8.52782i | −0.0276465 | + | 0.296721i | ||||
\(827\) | 19.8935 | − | 19.8935i | 0.691764 | − | 0.691764i | −0.270856 | − | 0.962620i | \(-0.587307\pi\) |
0.962620 | + | 0.270856i | \(0.0873067\pi\) | |||||||
\(828\) | 16.6364 | − | 7.96070i | 0.578154 | − | 0.276653i | ||||
\(829\) | 4.51982 | + | 4.51982i | 0.156980 | + | 0.156980i | 0.781227 | − | 0.624247i | \(-0.214594\pi\) |
−0.624247 | + | 0.781227i | \(0.714594\pi\) | |||||||
\(830\) | −12.8652 | − | 15.5089i | −0.446556 | − | 0.538321i | ||||
\(831\) | 32.4042 | + | 16.4332i | 1.12409 | + | 0.570063i | ||||
\(832\) | −2.45521 | − | 2.62723i | −0.0851192 | − | 0.0910828i | ||||
\(833\) | −20.9595 | − | 36.3029i | −0.726203 | − | 1.25782i | ||||
\(834\) | −20.4983 | − | 6.35083i | −0.709797 | − | 0.219911i | ||||
\(835\) | 28.1581 | − | 7.54494i | 0.974452 | − | 0.261104i | ||||
\(836\) | −4.88105 | − | 4.19039i | −0.168815 | − | 0.144928i | ||||
\(837\) | 4.74056 | − | 47.7194i | 0.163858 | − | 1.64942i | ||||
\(838\) | −4.89228 | + | 2.24781i | −0.169001 | + | 0.0776494i | ||||
\(839\) | −5.34046 | − | 3.08332i | −0.184373 | − | 0.106448i | 0.404972 | − | 0.914329i | \(-0.367281\pi\) |
−0.589346 | + | 0.807881i | \(0.700614\pi\) | |||||||
\(840\) | −4.27096 | + | 2.68329i | −0.147362 | + | 0.0925824i | ||||
\(841\) | 44.4356 | − | 25.6549i | 1.53226 | − | 0.884653i | ||||
\(842\) | 0.659957 | − | 0.931295i | 0.0227436 | − | 0.0320945i | ||||
\(843\) | −20.8223 | + | 6.80937i | −0.717159 | + | 0.234527i | ||||
\(844\) | −26.7866 | − | 12.8605i | −0.922032 | − | 0.442677i | ||||
\(845\) | 11.4012 | + | 11.4012i | 0.392214 | + | 0.392214i | ||||
\(846\) | 0.327470 | + | 1.15000i | 0.0112587 | + | 0.0395376i | ||||
\(847\) | −5.97485 | −0.205298 | ||||||||
\(848\) | −25.0594 | + | 11.0043i | −0.860543 | + | 0.377890i | ||||
\(849\) | 31.9150 | − | 20.8122i | 1.09532 | − | 0.714272i | ||||
\(850\) | −5.37062 | − | 31.4958i | −0.184211 | − | 1.08030i | ||||
\(851\) | −2.40922 | + | 8.99133i | −0.0825869 | + | 0.308219i | ||||
\(852\) | −8.99605 | + | 6.89363i | −0.308200 | + | 0.236172i | ||||
\(853\) | 7.75721 | + | 28.9503i | 0.265602 | + | 0.991240i | 0.961881 | + | 0.273468i | \(0.0881709\pi\) |
−0.696279 | + | 0.717771i | \(0.745162\pi\) | |||||||
\(854\) | 4.93456 | + | 10.7399i | 0.168857 | + | 0.367512i | ||||
\(855\) | 5.10675 | − | 3.74001i | 0.174647 | − | 0.127906i | ||||
\(856\) | 4.47085 | − | 15.6234i | 0.152810 | − | 0.533995i | ||||
\(857\) | −1.97997 | − | 1.14314i | −0.0676345 | − | 0.0390488i | 0.465801 | − | 0.884889i | \(-0.345766\pi\) |
−0.533436 | + | 0.845840i | \(0.679099\pi\) | |||||||
\(858\) | −2.11305 | − | 0.0816986i | −0.0721383 | − | 0.00278914i | ||||
\(859\) | 13.9566 | + | 3.73966i | 0.476193 | + | 0.127595i | 0.488929 | − | 0.872323i | \(-0.337388\pi\) |
−0.0127366 | + | 0.999919i | \(0.504054\pi\) | |||||||
\(860\) | −15.8897 | − | 2.98693i | −0.541834 | − | 0.101853i | ||||
\(861\) | −9.99524 | + | 11.1434i | −0.340637 | + | 0.379765i | ||||
\(862\) | 23.1612 | + | 27.9207i | 0.788873 | + | 0.950981i | ||||
\(863\) | −47.8654 | −1.62936 | −0.814678 | − | 0.579913i | \(-0.803087\pi\) | ||||
−0.814678 | + | 0.579913i | \(0.803087\pi\) | |||||||
\(864\) | 8.73545 | − | 28.0658i | 0.297186 | − | 0.954820i | ||||
\(865\) | 6.46544 | 0.219831 | ||||||||
\(866\) | −20.8562 | − | 25.1420i | −0.708721 | − | 0.854359i | ||||
\(867\) | −31.0232 | + | 34.5867i | −1.05360 | + | 1.17463i | ||||
\(868\) | −14.8243 | − | 2.78665i | −0.503168 | − | 0.0945849i | ||||
\(869\) | 28.5783 | + | 7.65754i | 0.969454 | + | 0.259764i | ||||
\(870\) | −27.6351 | − | 1.06848i | −0.936917 | − | 0.0362248i | ||||
\(871\) | −2.10513 | − | 1.21540i | −0.0713298 | − | 0.0411823i | ||||
\(872\) | 27.6810 | + | 7.92131i | 0.937396 | + | 0.268249i | ||||
\(873\) | 24.5392 | + | 10.8140i | 0.830528 | + | 0.365998i | ||||
\(874\) | 3.03945 | + | 6.61527i | 0.102811 | + | 0.223765i | ||||
\(875\) | 2.24180 | + | 8.36650i | 0.0757866 | + | 0.282839i | ||||
\(876\) | 13.5354 | − | 10.3721i | 0.457318 | − | 0.350440i | ||||
\(877\) | 2.06187 | − | 7.69500i | 0.0696244 | − | 0.259842i | −0.922336 | − | 0.386388i | \(-0.873723\pi\) |
0.991961 | + | 0.126546i | \(0.0403892\pi\) | |||||||
\(878\) | −2.16436 | − | 12.6928i | −0.0730437 | − | 0.428362i | ||||
\(879\) | 0.167648 | − | 0.109326i | 0.00565463 | − | 0.00368746i | ||||
\(880\) | 3.51467 | − | 9.01824i | 0.118480 | − | 0.304005i | ||||
\(881\) | 11.0782 | 0.373234 | 0.186617 | − | 0.982433i | \(-0.440248\pi\) | ||||
0.186617 | + | 0.982433i | \(0.440248\pi\) | |||||||
\(882\) | −26.0551 | − | 6.54713i | −0.877320 | − | 0.220453i | ||||
\(883\) | 24.5689 | + | 24.5689i | 0.826808 | + | 0.826808i | 0.987074 | − | 0.160266i | \(-0.0512352\pi\) |
−0.160266 | + | 0.987074i | \(0.551235\pi\) | |||||||
\(884\) | 5.36492 | + | 2.57575i | 0.180442 | + | 0.0866320i | ||||
\(885\) | 15.3704 | − | 5.02647i | 0.516670 | − | 0.168963i | ||||
\(886\) | 23.1083 | − | 32.6092i | 0.776339 | − | 1.09553i | ||||
\(887\) | −16.4338 | + | 9.48806i | −0.551793 | + | 0.318578i | −0.749845 | − | 0.661614i | \(-0.769872\pi\) |
0.198052 | + | 0.980192i | \(0.436539\pi\) | |||||||
\(888\) | 7.89235 | + | 12.5622i | 0.264850 | + | 0.421558i | ||||
\(889\) | −10.3978 | − | 6.00315i | −0.348730 | − | 0.201339i | ||||
\(890\) | −5.57170 | + | 2.55998i | −0.186764 | + | 0.0858107i | ||||
\(891\) | −7.96437 | − | 15.3415i | −0.266816 | − | 0.513959i | ||||
\(892\) | −25.1298 | − | 21.5740i | −0.841407 | − | 0.722350i | ||||
\(893\) | −0.455909 | + | 0.122160i | −0.0152564 | + | 0.00408795i | ||||
\(894\) | 20.0080 | + | 6.19893i | 0.669167 | + | 0.207323i | ||||
\(895\) | 2.80429 | + | 4.85718i | 0.0937371 | + | 0.162357i | ||||
\(896\) | −8.55663 | − | 3.50262i | −0.285857 | − | 0.117014i | ||||
\(897\) | 2.13430 | + | 1.08238i | 0.0712623 | + | 0.0361395i | ||||
\(898\) | 5.33546 | + | 6.43187i | 0.178047 | + | 0.214634i | ||||
\(899\) | −58.4810 | − | 58.4810i | −1.95045 | − | 1.95045i | ||||
\(900\) | −16.8896 | − | 11.5768i | −0.562987 | − | 0.385895i | ||||
\(901\) | 32.0291 | − | 32.0291i | 1.06704 | − | 1.06704i | ||||
\(902\) | 2.66486 | − | 28.6011i | 0.0887301 | − | 0.952311i | ||||
\(903\) | 4.96109 | + | 7.60771i | 0.165095 | + | 0.253169i | ||||
\(904\) | −31.3212 | − | 18.7968i | −1.04173 | − | 0.625171i | ||||
\(905\) | −4.36391 | + | 2.51950i | −0.145061 | + | 0.0837511i | ||||
\(906\) | 48.5157 | + | 30.5687i | 1.61182 | + | 1.01558i | ||||
\(907\) | −5.22799 | − | 19.5111i | −0.173593 | − | 0.647856i | −0.996787 | − | 0.0800968i | \(-0.974477\pi\) |
0.823195 | − | 0.567759i | \(-0.192190\pi\) | |||||||
\(908\) | 1.23978 | + | 16.2838i | 0.0411435 | + | 0.540398i | ||||
\(909\) | 19.2414 | − | 7.47013i | 0.638197 | − | 0.247769i | ||||
\(910\) | −0.613735 | − | 0.227309i | −0.0203451 | − | 0.00753521i | ||||
\(911\) | −12.3761 | + | 21.4361i | −0.410040 | + | 0.710209i | −0.994894 | − | 0.100929i | \(-0.967818\pi\) |
0.584854 | + | 0.811139i | \(0.301152\pi\) | |||||||
\(912\) | 11.0234 | + | 3.62079i | 0.365023 | + | 0.119896i | ||||
\(913\) | −10.8606 | − | 18.8112i | −0.359434 | − | 0.622558i | ||||
\(914\) | −1.29038 | − | 7.56741i | −0.0426821 | − | 0.250308i | ||||
\(915\) | 14.9010 | − | 16.6127i | 0.492613 | − | 0.549198i | ||||
\(916\) | 3.88732 | − | 8.09673i | 0.128441 | − | 0.267523i | ||||
\(917\) | −5.79507 | + | 5.79507i | −0.191370 | + | 0.191370i | ||||
\(918\) | 3.39652 | + | 48.5283i | 0.112102 | + | 1.60167i | ||||
\(919\) | 2.93718i | 0.0968887i | 0.998826 | + | 0.0484444i | \(0.0154264\pi\) | ||||
−0.998826 | + | 0.0484444i | \(0.984574\pi\) | |||||||
\(920\) | −7.87513 | + | 7.61310i | −0.259635 | + | 0.250996i | ||||
\(921\) | 30.4331 | − | 1.65294i | 1.00281 | − | 0.0544663i | ||||
\(922\) | −30.0828 | − | 21.3180i | −0.990724 | − | 0.702071i | ||||
\(923\) | −1.42049 | − | 0.380619i | −0.0467560 | − | 0.0125282i | ||||
\(924\) | −5.02461 | + | 2.07744i | −0.165298 | + | 0.0683427i | ||||
\(925\) | 9.98268 | − | 2.67485i | 0.328229 | − | 0.0879486i | ||||
\(926\) | 9.70275 | − | 26.1975i | 0.318852 | − | 0.860904i | ||||
\(927\) | −11.7922 | − | 16.1015i | −0.387308 | − | 0.528844i | ||||
\(928\) | −27.8949 | − | 42.3296i | −0.915695 | − | 1.38954i | ||||
\(929\) | 19.2758 | − | 33.3867i | 0.632420 | − | 1.09538i | −0.354636 | − | 0.935004i | \(-0.615395\pi\) |
0.987056 | − | 0.160379i | \(-0.0512715\pi\) | |||||||
\(930\) | 6.30292 | + | 27.7742i | 0.206681 | + | 0.910753i | ||||
\(931\) | 2.74468 | − | 10.2433i | 0.0899533 | − | 0.335710i | ||||
\(932\) | 14.4102 | + | 2.70881i | 0.472021 | + | 0.0887299i | ||||
\(933\) | 0.837047 | − | 3.97513i | 0.0274037 | − | 0.130140i | ||||
\(934\) | −2.99370 | + | 32.1304i | −0.0979567 | + | 1.05134i | ||||
\(935\) | 16.0187i | 0.523866i | ||||||||
\(936\) | 3.57831 | − | 1.32001i | 0.116961 | − | 0.0431458i | ||||
\(937\) | − | 30.8118i | − | 1.00658i | −0.864119 | − | 0.503288i | \(-0.832123\pi\) | ||
0.864119 | − | 0.503288i | \(-0.167877\pi\) | |||||||
\(938\) | −6.22313 | − | 0.579831i | −0.203193 | − | 0.0189322i | ||||
\(939\) | −16.3916 | + | 5.36043i | −0.534920 | + | 0.174931i | ||||
\(940\) | −0.400735 | − | 0.586271i | −0.0130705 | − | 0.0191221i | ||||
\(941\) | −8.42341 | + | 31.4366i | −0.274595 | + | 1.02480i | 0.681517 | + | 0.731802i | \(0.261321\pi\) |
−0.956112 | + | 0.293001i | \(0.905346\pi\) | |||||||
\(942\) | 15.6950 | − | 50.6579i | 0.511370 | − | 1.65052i | ||||
\(943\) | −16.2536 | + | 28.1521i | −0.529292 | + | 0.916760i | ||||
\(944\) | 23.8925 | + | 17.5458i | 0.777634 | + | 0.571068i | ||||
\(945\) | −0.867025 | − | 5.27917i | −0.0282043 | − | 0.171731i | ||||
\(946\) | −16.3435 | − | 6.05313i | −0.531373 | − | 0.196804i | ||||
\(947\) | 9.37173 | − | 2.51115i | 0.304540 | − | 0.0816013i | −0.103313 | − | 0.994649i | \(-0.532944\pi\) |
0.407853 | + | 0.913048i | \(0.366278\pi\) | |||||||
\(948\) | −52.9112 | + | 6.93090i | −1.71848 | + | 0.225105i | ||||
\(949\) | 2.13726 | + | 0.572676i | 0.0693783 | + | 0.0185898i | ||||
\(950\) | 4.67336 | − | 6.59479i | 0.151624 | − | 0.213963i | ||||
\(951\) | −3.59277 | + | 7.08446i | −0.116503 | + | 0.229729i | ||||
\(952\) | 15.2996 | + | 0.258837i | 0.495863 | + | 0.00838897i | ||||
\(953\) | 12.8416i | 0.415980i | 0.978131 | + | 0.207990i | \(0.0666921\pi\) | ||||
−0.978131 | + | 0.207990i | \(0.933308\pi\) | |||||||
\(954\) | −0.453304 | − | 29.0258i | −0.0146762 | − | 0.939744i | ||||
\(955\) | −15.1513 | + | 15.1513i | −0.490286 | + | 0.490286i | ||||
\(956\) | −12.8430 | + | 4.51110i | −0.415371 | + | 0.145899i | ||||
\(957\) | −29.1720 | − | 6.14277i | −0.942997 | − | 0.198567i | ||||
\(958\) | 31.2264 | − | 5.32469i | 1.00888 | − | 0.172033i | ||||
\(959\) | −1.11837 | − | 1.93707i | −0.0361139 | − | 0.0625512i | ||||
\(960\) | 0.356592 | + | 17.4536i | 0.0115090 | + | 0.563313i | ||||
\(961\) | −27.0854 | + | 46.9133i | −0.873723 | + | 1.51333i | ||||
\(962\) | −0.668581 | + | 1.80517i | −0.0215559 | + | 0.0582011i | ||||
\(963\) | 13.4362 | + | 10.7961i | 0.432975 | + | 0.347900i | ||||
\(964\) | 9.06510 | + | 7.78241i | 0.291967 | + | 0.250654i | ||||
\(965\) | −1.76715 | − | 6.59508i | −0.0568865 | − | 0.212303i | ||||
\(966\) | 6.14848 | + | 0.237724i | 0.197824 | + | 0.00764865i | ||||
\(967\) | 35.9080 | − | 20.7315i | 1.15472 | − | 0.666680i | 0.204690 | − | 0.978827i | \(-0.434381\pi\) |
0.950034 | + | 0.312147i | \(0.101048\pi\) | |||||||
\(968\) | −10.6411 | + | 17.7313i | −0.342017 | + | 0.569905i | ||||
\(969\) | −19.1745 | + | 1.04144i | −0.615974 | + | 0.0334560i | ||||
\(970\) | −15.8578 | − | 1.47752i | −0.509162 | − | 0.0474404i | ||||
\(971\) | −1.88730 | + | 1.88730i | −0.0605663 | + | 0.0605663i | −0.736741 | − | 0.676175i | \(-0.763636\pi\) |
0.676175 | + | 0.736741i | \(0.263636\pi\) | |||||||
\(972\) | 23.8473 | + | 20.0825i | 0.764903 | + | 0.644145i | ||||
\(973\) | −5.06253 | − | 5.06253i | −0.162297 | − | 0.162297i | ||||
\(974\) | 9.00936 | − | 7.47358i | 0.288678 | − | 0.239469i | ||||
\(975\) | −0.144096 | − | 2.65301i | −0.00461475 | − | 0.0849644i | ||||
\(976\) | 40.6606 | + | 4.48345i | 1.30151 | + | 0.143512i | ||||
\(977\) | 9.70999 | + | 16.8182i | 0.310650 | + | 0.538062i | 0.978503 | − | 0.206231i | \(-0.0661199\pi\) |
−0.667853 | + | 0.744293i | \(0.732787\pi\) | |||||||
\(978\) | −3.29089 | − | 3.55560i | −0.105231 | − | 0.113696i | ||||
\(979\) | −6.38446 | + | 1.71071i | −0.204048 | + | 0.0546746i | ||||
\(980\) | 15.9093 | − | 1.21126i | 0.508205 | − | 0.0386924i | ||||
\(981\) | −19.1282 | + | 23.8058i | −0.610717 | + | 0.760062i | ||||
\(982\) | 21.2469 | + | 46.2431i | 0.678015 | + | 1.47568i | ||||
\(983\) | −26.6919 | − | 15.4106i | −0.851339 | − | 0.491521i | 0.00976322 | − | 0.999952i | \(-0.496892\pi\) |
−0.861103 | + | 0.508431i | \(0.830226\pi\) | |||||||
\(984\) | 15.2683 | + | 49.5084i | 0.486736 | + | 1.57827i | ||||
\(985\) | −12.4046 | + | 7.16177i | −0.395242 | + | 0.228193i | ||||
\(986\) | 68.4539 | + | 48.5094i | 2.18002 | + | 1.54486i | ||||
\(987\) | −0.0821989 | + | 0.390362i | −0.00261642 | + | 0.0124254i | ||||
\(988\) | 0.498936 | + | 1.42046i | 0.0158733 | + | 0.0451907i | ||||
\(989\) | 13.9465 | + | 13.9465i | 0.443473 | + | 0.443473i | ||||
\(990\) | 7.37167 | + | 7.14496i | 0.234287 | + | 0.227082i | ||||
\(991\) | 19.7024 | 0.625869 | 0.312934 | − | 0.949775i | \(-0.398688\pi\) | ||||
0.312934 | + | 0.949775i | \(0.398688\pi\) | |||||||
\(992\) | −34.6714 | + | 39.0302i | −1.10082 | + | 1.23921i | ||||
\(993\) | −26.8263 | − | 13.6045i | −0.851307 | − | 0.431726i | ||||
\(994\) | −3.72741 | + | 0.635593i | −0.118226 | + | 0.0201598i | ||||
\(995\) | −3.66047 | + | 13.6611i | −0.116045 | + | 0.433085i | ||||
\(996\) | 31.0658 | + | 23.8698i | 0.984359 | + | 0.756343i | ||||
\(997\) | 1.25836 | + | 4.69625i | 0.0398526 | + | 0.148732i | 0.982985 | − | 0.183685i | \(-0.0588026\pi\) |
−0.943133 | + | 0.332417i | \(0.892136\pi\) | |||||||
\(998\) | −36.9666 | + | 16.9847i | −1.17016 | + | 0.537641i | ||||
\(999\) | −15.5276 | + | 2.55017i | −0.491271 | + | 0.0806839i |
(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 | 144.2.x.e.61.13 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.397.6 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.529.13 | 72 | |||
9.4 | even | 3 | inner | 144.2.x.e.13.1 | ✓ | 72 | |
9.5 | odd | 6 | 432.2.y.e.253.18 | 72 | |||
12.11 | even | 2 | 1728.2.bc.e.721.7 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.133.1 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.241.6 | 72 | |||
36.23 | even | 6 | 1728.2.bc.e.145.12 | 72 | |||
36.31 | odd | 6 | 576.2.bb.e.337.6 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.181.18 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1585.12 | 72 | |||
144.5 | odd | 12 | 432.2.y.e.37.6 | 72 | |||
144.59 | even | 12 | 1728.2.bc.e.1009.7 | 72 | |||
144.85 | even | 12 | inner | 144.2.x.e.85.13 | yes | 72 | |
144.139 | odd | 12 | 576.2.bb.e.49.13 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.1 | ✓ | 72 | 9.4 | even | 3 | inner | |
144.2.x.e.61.13 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.85.13 | yes | 72 | 144.85 | even | 12 | inner | |
144.2.x.e.133.1 | yes | 72 | 16.5 | even | 4 | inner | |
432.2.y.e.37.6 | 72 | 144.5 | odd | 12 | |||
432.2.y.e.181.18 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.253.18 | 72 | 9.5 | odd | 6 | |||
432.2.y.e.397.6 | 72 | 3.2 | odd | 2 | |||
576.2.bb.e.49.13 | 72 | 144.139 | odd | 12 | |||
576.2.bb.e.241.6 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.337.6 | 72 | 36.31 | odd | 6 | |||
576.2.bb.e.529.13 | 72 | 4.3 | odd | 2 | |||
1728.2.bc.e.145.12 | 72 | 36.23 | even | 6 | |||
1728.2.bc.e.721.7 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1009.7 | 72 | 144.59 | even | 12 | |||
1728.2.bc.e.1585.12 | 72 | 48.11 | even | 4 |