Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 49.11 |
Dual form | 49.2.g.a.9.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02480 | + | 0.950878i | −0.724645 | + | 0.672372i | −0.953604 | − | 0.301064i | \(-0.902658\pi\) |
0.228959 | + | 0.973436i | \(0.426468\pi\) | |||||||
\(3\) | −1.96135 | + | 0.295625i | −1.13238 | + | 0.170679i | −0.688383 | − | 0.725347i | \(-0.741679\pi\) |
−0.444000 | + | 0.896027i | \(0.646441\pi\) | |||||||
\(4\) | −0.00340854 | + | 0.0454838i | −0.00170427 | + | 0.0227419i | ||||
\(5\) | −1.11243 | + | 2.83442i | −0.497493 | + | 1.26759i | 0.433037 | + | 0.901376i | \(0.357442\pi\) |
−0.930530 | + | 0.366216i | \(0.880653\pi\) | |||||||
\(6\) | 1.72889 | − | 2.16796i | 0.705816 | − | 0.885065i | ||||
\(7\) | 2.44418 | − | 1.01290i | 0.923814 | − | 0.382841i | ||||
\(8\) | −1.78303 | − | 2.23585i | −0.630395 | − | 0.790491i | ||||
\(9\) | 0.892763 | − | 0.275381i | 0.297588 | − | 0.0917936i | ||||
\(10\) | −1.55517 | − | 3.96251i | −0.491788 | − | 1.25305i | ||||
\(11\) | 4.91424 | + | 1.51584i | 1.48170 | + | 0.457044i | 0.927017 | − | 0.375018i | \(-0.122364\pi\) |
0.554682 | + | 0.832062i | \(0.312840\pi\) | |||||||
\(12\) | −0.00676083 | − | 0.0902170i | −0.00195168 | − | 0.0260434i | ||||
\(13\) | 0.369081 | + | 1.61705i | 0.102365 | + | 0.448489i | 0.999970 | + | 0.00768993i | \(0.00244780\pi\) |
−0.897606 | + | 0.440799i | \(0.854695\pi\) | |||||||
\(14\) | −1.54166 | + | 3.36214i | −0.412025 | + | 0.898571i | ||||
\(15\) | 1.34393 | − | 5.88814i | 0.347001 | − | 1.52031i | ||||
\(16\) | 3.86306 | + | 0.582263i | 0.965766 | + | 0.145566i | ||||
\(17\) | −2.42053 | + | 1.65029i | −0.587065 | + | 0.400254i | −0.820105 | − | 0.572213i | \(-0.806085\pi\) |
0.233040 | + | 0.972467i | \(0.425133\pi\) | |||||||
\(18\) | −0.653052 | + | 1.13112i | −0.153926 | + | 0.266607i | ||||
\(19\) | −0.170770 | − | 0.295782i | −0.0391773 | − | 0.0678571i | 0.845772 | − | 0.533545i | \(-0.179140\pi\) |
−0.884949 | + | 0.465688i | \(0.845807\pi\) | |||||||
\(20\) | −0.125128 | − | 0.0602587i | −0.0279796 | − | 0.0134743i | ||||
\(21\) | −4.49445 | + | 2.70921i | −0.980769 | + | 0.591199i | ||||
\(22\) | −6.47751 | + | 3.11940i | −1.38101 | + | 0.665059i | ||||
\(23\) | −2.94916 | − | 2.01070i | −0.614941 | − | 0.419260i | 0.215391 | − | 0.976528i | \(-0.430897\pi\) |
−0.830333 | + | 0.557268i | \(0.811850\pi\) | |||||||
\(24\) | 4.15810 | + | 3.85816i | 0.848769 | + | 0.787543i | ||||
\(25\) | −3.13119 | − | 2.90532i | −0.626238 | − | 0.581064i | ||||
\(26\) | −1.91585 | − | 1.30621i | −0.375730 | − | 0.256168i | ||||
\(27\) | 3.69161 | − | 1.77778i | 0.710450 | − | 0.342135i | ||||
\(28\) | 0.0377395 | + | 0.114623i | 0.00713210 | + | 0.0216617i | ||||
\(29\) | 5.41330 | + | 2.60691i | 1.00523 | + | 0.484091i | 0.862709 | − | 0.505701i | \(-0.168766\pi\) |
0.142517 | + | 0.989792i | \(0.454481\pi\) | |||||||
\(30\) | 4.22164 | + | 7.31210i | 0.770763 | + | 1.33500i | ||||
\(31\) | 1.30646 | − | 2.26286i | 0.234647 | − | 0.406421i | −0.724523 | − | 0.689251i | \(-0.757940\pi\) |
0.959170 | + | 0.282830i | \(0.0912732\pi\) | |||||||
\(32\) | 0.213141 | − | 0.145317i | 0.0376784 | − | 0.0256887i | ||||
\(33\) | −10.0866 | − | 1.52032i | −1.75586 | − | 0.264653i | ||||
\(34\) | 0.911342 | − | 3.99285i | 0.156294 | − | 0.684768i | ||||
\(35\) | 0.152014 | + | 8.05463i | 0.0256951 | + | 1.36148i | ||||
\(36\) | 0.00948235 | + | 0.0415449i | 0.00158039 | + | 0.00692415i | ||||
\(37\) | −0.120508 | − | 1.60806i | −0.0198113 | − | 0.264364i | −0.998310 | − | 0.0581114i | \(-0.981492\pi\) |
0.978499 | − | 0.206253i | \(-0.0661269\pi\) | |||||||
\(38\) | 0.456258 | + | 0.140737i | 0.0740148 | + | 0.0228305i | ||||
\(39\) | −1.20194 | − | 3.06249i | −0.192464 | − | 0.490390i | ||||
\(40\) | 8.32082 | − | 2.56663i | 1.31564 | − | 0.405820i | ||||
\(41\) | −2.03064 | − | 2.54634i | −0.317132 | − | 0.397671i | 0.597559 | − | 0.801825i | \(-0.296137\pi\) |
−0.914691 | + | 0.404154i | \(0.867566\pi\) | |||||||
\(42\) | 2.02979 | − | 7.05008i | 0.313203 | − | 1.08785i | ||||
\(43\) | −2.88168 | + | 3.61351i | −0.439452 | + | 0.551055i | −0.951399 | − | 0.307962i | \(-0.900353\pi\) |
0.511947 | + | 0.859017i | \(0.328925\pi\) | |||||||
\(44\) | −0.0856967 | + | 0.218352i | −0.0129193 | + | 0.0329177i | ||||
\(45\) | −0.212589 | + | 2.83681i | −0.0316910 | + | 0.422886i | ||||
\(46\) | 4.93423 | − | 0.743716i | 0.727513 | − | 0.109655i | ||||
\(47\) | 7.48457 | − | 6.94467i | 1.09174 | − | 1.01298i | 0.0918856 | − | 0.995770i | \(-0.470711\pi\) |
0.999852 | − | 0.0172147i | \(-0.00547988\pi\) | |||||||
\(48\) | −7.74893 | −1.11846 | ||||||||
\(49\) | 4.94806 | − | 4.95144i | 0.706865 | − | 0.707348i | ||||
\(50\) | 5.97146 | 0.844492 | ||||||||
\(51\) | 4.25963 | − | 3.95236i | 0.596467 | − | 0.553441i | ||||
\(52\) | −0.0748076 | + | 0.0112754i | −0.0103739 | + | 0.00156362i | ||||
\(53\) | 0.217030 | − | 2.89606i | 0.0298113 | − | 0.397804i | −0.962260 | − | 0.272131i | \(-0.912272\pi\) |
0.992072 | − | 0.125674i | \(-0.0401092\pi\) | |||||||
\(54\) | −2.09271 | + | 5.33214i | −0.284782 | + | 0.725613i | ||||
\(55\) | −9.76328 | + | 12.2428i | −1.31648 | + | 1.65081i | ||||
\(56\) | −6.62274 | − | 3.65878i | −0.885000 | − | 0.488925i | ||||
\(57\) | 0.422379 | + | 0.529647i | 0.0559455 | + | 0.0701535i | ||||
\(58\) | −8.02642 | + | 2.47582i | −1.05392 | + | 0.325091i | ||||
\(59\) | −3.40185 | − | 8.66778i | −0.442883 | − | 1.12845i | −0.961831 | − | 0.273643i | \(-0.911771\pi\) |
0.518948 | − | 0.854806i | \(-0.326324\pi\) | |||||||
\(60\) | 0.263234 | + | 0.0811970i | 0.0339834 | + | 0.0104825i | ||||
\(61\) | 0.385625 | + | 5.14581i | 0.0493742 | + | 0.658854i | 0.965906 | + | 0.258892i | \(0.0833574\pi\) |
−0.916532 | + | 0.399961i | \(0.869024\pi\) | |||||||
\(62\) | 0.812835 | + | 3.56126i | 0.103230 | + | 0.452281i | ||||
\(63\) | 1.90314 | − | 1.57736i | 0.239773 | − | 0.198729i | ||||
\(64\) | −1.81889 | + | 7.96909i | −0.227362 | + | 0.996136i | ||||
\(65\) | −4.99398 | − | 0.752722i | −0.619427 | − | 0.0933636i | ||||
\(66\) | 11.7825 | − | 8.03314i | 1.45032 | − | 0.988812i | ||||
\(67\) | −5.99203 | + | 10.3785i | −0.732044 | + | 1.26794i | 0.223965 | + | 0.974597i | \(0.428100\pi\) |
−0.956008 | + | 0.293339i | \(0.905233\pi\) | |||||||
\(68\) | −0.0668109 | − | 0.115720i | −0.00810201 | − | 0.0140331i | ||||
\(69\) | 6.37873 | + | 3.07183i | 0.767908 | + | 0.369805i | ||||
\(70\) | −7.81475 | − | 8.10985i | −0.934041 | − | 0.969313i | ||||
\(71\) | −1.67332 | + | 0.805828i | −0.198586 | + | 0.0956342i | −0.530534 | − | 0.847664i | \(-0.678009\pi\) |
0.331948 | + | 0.943298i | \(0.392294\pi\) | |||||||
\(72\) | −2.20753 | − | 1.50507i | −0.260160 | − | 0.177374i | ||||
\(73\) | 9.61611 | + | 8.92245i | 1.12548 | + | 1.04429i | 0.998628 | + | 0.0523724i | \(0.0166783\pi\) |
0.126853 | + | 0.991921i | \(0.459512\pi\) | |||||||
\(74\) | 1.65257 | + | 1.53336i | 0.192107 | + | 0.178249i | ||||
\(75\) | 7.00023 | + | 4.77268i | 0.808317 | + | 0.551101i | ||||
\(76\) | 0.0140354 | − | 0.00675907i | 0.00160997 | − | 0.000775319i | ||||
\(77\) | 13.5467 | − | 1.27265i | 1.54379 | − | 0.145032i | ||||
\(78\) | 4.14380 | + | 1.99555i | 0.469193 | + | 0.225951i | ||||
\(79\) | −6.91937 | − | 11.9847i | −0.778490 | − | 1.34838i | −0.932812 | − | 0.360364i | \(-0.882652\pi\) |
0.154321 | − | 0.988021i | \(-0.450681\pi\) | |||||||
\(80\) | −5.94776 | + | 10.3018i | −0.664980 | + | 1.15178i | ||||
\(81\) | −9.03075 | + | 6.15706i | −1.00342 | + | 0.684118i | ||||
\(82\) | 4.50226 | + | 0.678606i | 0.497191 | + | 0.0749395i | ||||
\(83\) | 0.194494 | − | 0.852134i | 0.0213485 | − | 0.0935338i | −0.963131 | − | 0.269032i | \(-0.913296\pi\) |
0.984480 | + | 0.175498i | \(0.0561535\pi\) | |||||||
\(84\) | −0.107906 | − | 0.213659i | −0.0117735 | − | 0.0233121i | ||||
\(85\) | −1.98495 | − | 8.69663i | −0.215298 | − | 0.943282i | ||||
\(86\) | −0.482856 | − | 6.44326i | −0.0520677 | − | 0.694795i | ||||
\(87\) | −11.3880 | − | 3.51274i | −1.22092 | − | 0.376605i | ||||
\(88\) | −5.37304 | − | 13.6903i | −0.572768 | − | 1.45939i | ||||
\(89\) | −0.454630 | + | 0.140235i | −0.0481907 | + | 0.0148648i | −0.318757 | − | 0.947837i | \(-0.603265\pi\) |
0.270566 | + | 0.962701i | \(0.412789\pi\) | |||||||
\(90\) | −2.47960 | − | 3.10931i | −0.261372 | − | 0.327751i | ||||
\(91\) | 2.54002 | + | 3.57852i | 0.266266 | + | 0.375131i | ||||
\(92\) | 0.101507 | − | 0.127285i | 0.0105828 | − | 0.0132704i | ||||
\(93\) | −1.89346 | + | 4.82446i | −0.196343 | + | 0.500274i | ||||
\(94\) | −1.06668 | + | 14.2338i | −0.110019 | + | 1.46811i | ||||
\(95\) | 1.02834 | − | 0.154997i | 0.105506 | − | 0.0159024i | ||||
\(96\) | −0.375084 | + | 0.348027i | −0.0382819 | + | 0.0355204i | ||||
\(97\) | 7.70896 | 0.782726 | 0.391363 | − | 0.920236i | \(-0.372004\pi\) | ||||
0.391363 | + | 0.920236i | \(0.372004\pi\) | |||||||
\(98\) | −0.362570 | + | 9.77924i | −0.0366251 | + | 0.987853i | ||||
\(99\) | 4.80469 | 0.482889 | ||||||||
\(100\) | 0.142818 | − | 0.132515i | 0.0142818 | − | 0.0132515i | ||||
\(101\) | −0.812223 | + | 0.122423i | −0.0808192 | + | 0.0121815i | −0.189327 | − | 0.981914i | \(-0.560631\pi\) |
0.108508 | + | 0.994096i | \(0.465393\pi\) | |||||||
\(102\) | −0.607069 | + | 8.10077i | −0.0601088 | + | 0.802096i | ||||
\(103\) | 0.469049 | − | 1.19512i | 0.0462168 | − | 0.117758i | −0.905901 | − | 0.423489i | \(-0.860805\pi\) |
0.952118 | + | 0.305730i | \(0.0989006\pi\) | |||||||
\(104\) | 2.95739 | − | 3.70845i | 0.289996 | − | 0.363644i | ||||
\(105\) | −2.67930 | − | 15.7530i | −0.261473 | − | 1.53733i | ||||
\(106\) | 2.53139 | + | 3.17426i | 0.245870 | + | 0.308311i | ||||
\(107\) | 8.31467 | − | 2.56474i | 0.803810 | − | 0.247942i | 0.134488 | − | 0.990915i | \(-0.457061\pi\) |
0.669322 | + | 0.742973i | \(0.266585\pi\) | |||||||
\(108\) | 0.0682774 | + | 0.173968i | 0.00656999 | + | 0.0167401i | ||||
\(109\) | −14.5211 | − | 4.47918i | −1.39087 | − | 0.429028i | −0.493287 | − | 0.869866i | \(-0.664205\pi\) |
−0.897586 | + | 0.440839i | \(0.854681\pi\) | |||||||
\(110\) | −1.63594 | − | 21.8301i | −0.155981 | − | 2.08142i | ||||
\(111\) | 0.711741 | + | 3.11834i | 0.0675555 | + | 0.295980i | ||||
\(112\) | 10.0318 | − | 2.48975i | 0.947917 | − | 0.235259i | ||||
\(113\) | 2.37904 | − | 10.4232i | 0.223801 | − | 0.980536i | −0.730787 | − | 0.682606i | \(-0.760847\pi\) |
0.954588 | − | 0.297930i | \(-0.0962963\pi\) | |||||||
\(114\) | −0.936485 | − | 0.141152i | −0.0877098 | − | 0.0132201i | ||||
\(115\) | 8.97990 | − | 6.12239i | 0.837380 | − | 0.570916i | ||||
\(116\) | −0.137024 | + | 0.237332i | −0.0127223 | + | 0.0220357i | ||||
\(117\) | 0.774807 | + | 1.34201i | 0.0716309 | + | 0.124068i | ||||
\(118\) | 11.7282 | + | 5.64801i | 1.07967 | + | 0.519942i | ||||
\(119\) | −4.24463 | + | 6.48537i | −0.389105 | + | 0.594513i | ||||
\(120\) | −15.5612 | + | 7.49390i | −1.42054 | + | 0.684096i | ||||
\(121\) | 12.7634 | + | 8.70192i | 1.16031 | + | 0.791084i | ||||
\(122\) | −5.28823 | − | 4.90676i | −0.478774 | − | 0.444237i | ||||
\(123\) | 4.73554 | + | 4.39394i | 0.426989 | + | 0.396188i | ||||
\(124\) | 0.0984701 | + | 0.0671358i | 0.00884287 | + | 0.00602897i | ||||
\(125\) | −1.99869 | + | 0.962519i | −0.178768 | + | 0.0860903i | ||||
\(126\) | −0.450465 | + | 3.42614i | −0.0401306 | + | 0.305225i | ||||
\(127\) | 4.39159 | + | 2.11488i | 0.389691 | + | 0.187665i | 0.618461 | − | 0.785815i | \(-0.287756\pi\) |
−0.228771 | + | 0.973480i | \(0.573471\pi\) | |||||||
\(128\) | −5.45566 | − | 9.44948i | −0.482217 | − | 0.835224i | ||||
\(129\) | 4.58372 | − | 7.93924i | 0.403574 | − | 0.699011i | ||||
\(130\) | 5.83359 | − | 3.97727i | 0.511640 | − | 0.348830i | ||||
\(131\) | 4.74215 | + | 0.714764i | 0.414324 | + | 0.0624493i | 0.352897 | − | 0.935662i | \(-0.385197\pi\) |
0.0614271 | + | 0.998112i | \(0.480435\pi\) | |||||||
\(132\) | 0.103531 | − | 0.453597i | 0.00901117 | − | 0.0394805i | ||||
\(133\) | −0.716991 | − | 0.549972i | −0.0621710 | − | 0.0476886i | ||||
\(134\) | −3.72804 | − | 16.3336i | −0.322054 | − | 1.41101i | ||||
\(135\) | 0.932341 | + | 12.4412i | 0.0802432 | + | 1.07077i | ||||
\(136\) | 8.00566 | + | 2.46942i | 0.686480 | + | 0.211751i | ||||
\(137\) | 6.46097 | + | 16.4623i | 0.551998 | + | 1.40647i | 0.885908 | + | 0.463862i | \(0.153537\pi\) |
−0.333910 | + | 0.942605i | \(0.608368\pi\) | |||||||
\(138\) | −9.45787 | + | 2.91737i | −0.805107 | + | 0.248343i | ||||
\(139\) | −6.10524 | − | 7.65573i | −0.517840 | − | 0.649350i | 0.452309 | − | 0.891861i | \(-0.350600\pi\) |
−0.970149 | + | 0.242511i | \(0.922029\pi\) | |||||||
\(140\) | −0.366873 | − | 0.0205403i | −0.0310064 | − | 0.00173597i | ||||
\(141\) | −12.6268 | + | 15.8335i | −1.06337 | + | 1.33342i | ||||
\(142\) | 0.948577 | − | 2.41694i | 0.0796029 | − | 0.202825i | ||||
\(143\) | −0.637440 | + | 8.50605i | −0.0533054 | + | 0.711312i | ||||
\(144\) | 3.60914 | − | 0.543991i | 0.300762 | − | 0.0453326i | ||||
\(145\) | −13.4110 | + | 12.4436i | −1.11372 | + | 1.03338i | ||||
\(146\) | −18.3388 | −1.51773 | ||||||||
\(147\) | −8.24108 | + | 11.1742i | −0.679713 | + | 0.921637i | ||||
\(148\) | 0.0735516 | 0.00604590 | ||||||||
\(149\) | −3.46035 | + | 3.21074i | −0.283483 | + | 0.263034i | −0.809078 | − | 0.587701i | \(-0.800033\pi\) |
0.525595 | + | 0.850735i | \(0.323843\pi\) | |||||||
\(150\) | −11.7121 | + | 1.76531i | −0.956288 | + | 0.144137i | ||||
\(151\) | 0.915924 | − | 12.2222i | 0.0745368 | − | 0.994625i | −0.827079 | − | 0.562086i | \(-0.809999\pi\) |
0.901615 | − | 0.432539i | \(-0.142382\pi\) | |||||||
\(152\) | −0.356836 | + | 0.909203i | −0.0289432 | + | 0.0737461i | ||||
\(153\) | −1.70650 | + | 2.13988i | −0.137962 | + | 0.172999i | ||||
\(154\) | −12.6726 | + | 14.1855i | −1.02118 | + | 1.14310i | ||||
\(155\) | 4.96054 | + | 6.22032i | 0.398440 | + | 0.499628i | ||||
\(156\) | 0.143390 | − | 0.0442300i | 0.0114804 | − | 0.00354124i | ||||
\(157\) | −6.63852 | − | 16.9147i | −0.529811 | − | 1.34994i | −0.905954 | − | 0.423376i | \(-0.860845\pi\) |
0.376143 | − | 0.926562i | \(-0.377250\pi\) | |||||||
\(158\) | 18.4870 | + | 5.70248i | 1.47075 | + | 0.453665i | ||||
\(159\) | 0.430478 | + | 5.74433i | 0.0341391 | + | 0.455555i | ||||
\(160\) | 0.174786 | + | 0.765788i | 0.0138181 | + | 0.0605408i | ||||
\(161\) | −9.24492 | − | 1.92731i | −0.728602 | − | 0.151893i | ||||
\(162\) | 3.40012 | − | 14.8969i | 0.267139 | − | 1.17041i | ||||
\(163\) | −2.29461 | − | 0.345857i | −0.179728 | − | 0.0270896i | 0.0585616 | − | 0.998284i | \(-0.481349\pi\) |
−0.238289 | + | 0.971194i | \(0.576587\pi\) | |||||||
\(164\) | 0.122738 | − | 0.0836817i | 0.00958427 | − | 0.00653444i | ||||
\(165\) | 15.5299 | − | 26.8986i | 1.20900 | − | 2.09405i | ||||
\(166\) | 0.610957 | + | 1.05821i | 0.0474195 | + | 0.0821329i | ||||
\(167\) | −10.9122 | − | 5.25502i | −0.844409 | − | 0.406646i | −0.0389096 | − | 0.999243i | \(-0.512388\pi\) |
−0.805499 | + | 0.592597i | \(0.798103\pi\) | |||||||
\(168\) | 14.0711 | + | 5.21829i | 1.08561 | + | 0.402599i | ||||
\(169\) | 9.23396 | − | 4.44684i | 0.710305 | − | 0.342065i | ||||
\(170\) | 10.3036 | + | 7.02489i | 0.790251 | + | 0.538784i | ||||
\(171\) | −0.233910 | − | 0.217037i | −0.0178875 | − | 0.0165972i | ||||
\(172\) | −0.154534 | − | 0.143386i | −0.0117831 | − | 0.0109331i | ||||
\(173\) | 2.39542 | + | 1.63317i | 0.182120 | + | 0.124168i | 0.650949 | − | 0.759122i | \(-0.274371\pi\) |
−0.468828 | + | 0.883289i | \(0.655324\pi\) | |||||||
\(174\) | 15.0107 | − | 7.22875i | 1.13796 | − | 0.548010i | ||||
\(175\) | −10.5960 | − | 3.92954i | −0.800983 | − | 0.297046i | ||||
\(176\) | 18.1014 | + | 8.71718i | 1.36444 | + | 0.657082i | ||||
\(177\) | 9.23462 | + | 15.9948i | 0.694117 | + | 1.20225i | ||||
\(178\) | 0.332560 | − | 0.576010i | 0.0249264 | − | 0.0431738i | ||||
\(179\) | 6.37293 | − | 4.34499i | 0.476335 | − | 0.324760i | −0.301241 | − | 0.953548i | \(-0.597401\pi\) |
0.777577 | + | 0.628788i | \(0.216449\pi\) | |||||||
\(180\) | −0.128304 | − | 0.0193387i | −0.00956323 | − | 0.00144142i | ||||
\(181\) | 4.32264 | − | 18.9387i | 0.321300 | − | 1.40771i | −0.513943 | − | 0.857824i | \(-0.671816\pi\) |
0.835243 | − | 0.549881i | \(-0.185327\pi\) | |||||||
\(182\) | −6.00575 | − | 1.25203i | −0.445176 | − | 0.0928070i | ||||
\(183\) | −2.27758 | − | 9.97871i | −0.168363 | − | 0.737648i | ||||
\(184\) | 0.762810 | + | 10.1790i | 0.0562351 | + | 0.750405i | ||||
\(185\) | 4.69199 | + | 1.44729i | 0.344962 | + | 0.106407i | ||||
\(186\) | −2.64705 | − | 6.74457i | −0.194091 | − | 0.494536i | ||||
\(187\) | −14.3967 | + | 4.44078i | −1.05279 | + | 0.324742i | ||||
\(188\) | 0.290358 | + | 0.364098i | 0.0211766 | + | 0.0265546i | ||||
\(189\) | 7.22224 | − | 8.08447i | 0.525341 | − | 0.588058i | ||||
\(190\) | −0.906462 | + | 1.13667i | −0.0657617 | + | 0.0824626i | ||||
\(191\) | 0.714386 | − | 1.82023i | 0.0516912 | − | 0.131707i | −0.902696 | − | 0.430279i | \(-0.858415\pi\) |
0.954387 | + | 0.298572i | \(0.0965104\pi\) | |||||||
\(192\) | 1.21161 | − | 16.1678i | 0.0874406 | − | 1.16681i | ||||
\(193\) | −3.50075 | + | 0.527653i | −0.251989 | + | 0.0379813i | −0.273822 | − | 0.961780i | \(-0.588288\pi\) |
0.0218327 | + | 0.999762i | \(0.493050\pi\) | |||||||
\(194\) | −7.90016 | + | 7.33028i | −0.567199 | + | 0.526283i | ||||
\(195\) | 10.0174 | 0.717364 | ||||||||
\(196\) | 0.208344 | + | 0.241933i | 0.0148817 | + | 0.0172810i | ||||
\(197\) | −23.0280 | −1.64068 | −0.820339 | − | 0.571877i | \(-0.806215\pi\) | ||||
−0.820339 | + | 0.571877i | \(0.806215\pi\) | |||||||
\(198\) | −4.92386 | + | 4.56867i | −0.349923 | + | 0.324681i | ||||
\(199\) | −16.0129 | + | 2.41355i | −1.13512 | + | 0.171092i | −0.689609 | − | 0.724182i | \(-0.742217\pi\) |
−0.445515 | + | 0.895275i | \(0.646979\pi\) | |||||||
\(200\) | −0.912849 | + | 12.1811i | −0.0645482 | + | 0.861336i | ||||
\(201\) | 8.68430 | − | 22.1272i | 0.612543 | − | 1.56073i | ||||
\(202\) | 0.715959 | − | 0.897784i | 0.0503747 | − | 0.0631679i | ||||
\(203\) | 15.8716 | + | 0.888614i | 1.11397 | + | 0.0623685i | ||||
\(204\) | 0.165249 | + | 0.207216i | 0.0115697 | + | 0.0145080i | ||||
\(205\) | 9.47633 | − | 2.92306i | 0.661856 | − | 0.204155i | ||||
\(206\) | 0.655728 | + | 1.67077i | 0.0456867 | + | 0.116408i | ||||
\(207\) | −3.18660 | − | 0.982937i | −0.221484 | − | 0.0683189i | ||||
\(208\) | 0.484235 | + | 6.46167i | 0.0335757 | + | 0.448036i | ||||
\(209\) | −0.390845 | − | 1.71241i | −0.0270353 | − | 0.118450i | ||||
\(210\) | 17.7249 | + | 13.5960i | 1.22313 | + | 0.938212i | ||||
\(211\) | −4.38992 | + | 19.2335i | −0.302215 | + | 1.32409i | 0.564561 | + | 0.825391i | \(0.309045\pi\) |
−0.866776 | + | 0.498698i | \(0.833812\pi\) | |||||||
\(212\) | 0.130984 | + | 0.0197427i | 0.00899601 | + | 0.00135593i | ||||
\(213\) | 3.04373 | − | 2.07518i | 0.208553 | − | 0.142189i | ||||
\(214\) | −6.08215 | + | 10.5346i | −0.415767 | + | 0.720129i | ||||
\(215\) | −7.03655 | − | 12.1877i | −0.479889 | − | 0.831192i | ||||
\(216\) | −10.5571 | − | 5.08402i | −0.718319 | − | 0.345924i | ||||
\(217\) | 0.901175 | − | 6.85415i | 0.0611758 | − | 0.465290i | ||||
\(218\) | 19.1405 | − | 9.21756i | 1.29636 | − | 0.624292i | ||||
\(219\) | −21.4982 | − | 14.6572i | −1.45272 | − | 0.990445i | ||||
\(220\) | −0.523569 | − | 0.485801i | −0.0352990 | − | 0.0327527i | ||||
\(221\) | −3.56197 | − | 3.30503i | −0.239604 | − | 0.222320i | ||||
\(222\) | −3.69456 | − | 2.51891i | −0.247962 | − | 0.169058i | ||||
\(223\) | 7.53918 | − | 3.63068i | 0.504861 | − | 0.243128i | −0.164076 | − | 0.986448i | \(-0.552464\pi\) |
0.668936 | + | 0.743320i | \(0.266750\pi\) | |||||||
\(224\) | 0.373764 | − | 0.571074i | 0.0249732 | − | 0.0381565i | ||||
\(225\) | −3.59548 | − | 1.73149i | −0.239699 | − | 0.115433i | ||||
\(226\) | 7.47319 | + | 12.9439i | 0.497109 | + | 0.861018i | ||||
\(227\) | −13.1924 | + | 22.8500i | −0.875613 | + | 1.51661i | −0.0195053 | + | 0.999810i | \(0.506209\pi\) |
−0.856108 | + | 0.516797i | \(0.827124\pi\) | |||||||
\(228\) | −0.0255300 | + | 0.0174061i | −0.00169077 | + | 0.00115275i | ||||
\(229\) | 3.78238 | + | 0.570102i | 0.249947 | + | 0.0376734i | 0.272820 | − | 0.962065i | \(-0.412044\pi\) |
−0.0228739 | + | 0.999738i | \(0.507282\pi\) | |||||||
\(230\) | −3.38098 | + | 14.8130i | −0.222935 | + | 0.976742i | ||||
\(231\) | −26.1935 | + | 6.50086i | −1.72341 | + | 0.427725i | ||||
\(232\) | −3.82342 | − | 16.7515i | −0.251020 | − | 1.09979i | ||||
\(233\) | −0.0329808 | − | 0.440098i | −0.00216064 | − | 0.0288318i | 0.996019 | − | 0.0891382i | \(-0.0284113\pi\) |
−0.998180 | + | 0.0603064i | \(0.980792\pi\) | |||||||
\(234\) | −2.07011 | − | 0.638543i | −0.135327 | − | 0.0417429i | ||||
\(235\) | 11.3581 | + | 28.9399i | 0.740919 | + | 1.88783i | ||||
\(236\) | 0.405839 | − | 0.125185i | 0.0264178 | − | 0.00814883i | ||||
\(237\) | 17.1143 | + | 21.4606i | 1.11169 | + | 1.39402i | ||||
\(238\) | −1.81688 | − | 10.6824i | −0.117771 | − | 0.692434i | ||||
\(239\) | 3.94650 | − | 4.94875i | 0.255278 | − | 0.320108i | −0.637634 | − | 0.770339i | \(-0.720087\pi\) |
0.892912 | + | 0.450231i | \(0.148658\pi\) | |||||||
\(240\) | 8.62013 | − | 21.9637i | 0.556427 | − | 1.41775i | ||||
\(241\) | 1.03222 | − | 13.7741i | 0.0664913 | − | 0.887265i | −0.859842 | − | 0.510560i | \(-0.829438\pi\) |
0.926333 | − | 0.376705i | \(-0.122943\pi\) | |||||||
\(242\) | −21.3544 | + | 3.21866i | −1.37271 | + | 0.206903i | ||||
\(243\) | 6.88147 | − | 6.38507i | 0.441446 | − | 0.409602i | ||||
\(244\) | −0.235365 | −0.0150677 | ||||||||
\(245\) | 8.53010 | + | 19.5330i | 0.544968 | + | 1.24792i | ||||
\(246\) | −9.03109 | −0.575801 | ||||||||
\(247\) | 0.415267 | − | 0.385311i | 0.0264228 | − | 0.0245168i | ||||
\(248\) | −7.38885 | + | 1.11369i | −0.469192 | + | 0.0707194i | ||||
\(249\) | −0.129558 | + | 1.72883i | −0.00821038 | + | 0.109560i | ||||
\(250\) | 1.13303 | − | 2.88690i | 0.0716588 | − | 0.182584i | ||||
\(251\) | 7.71990 | − | 9.68045i | 0.487276 | − | 0.611025i | −0.476030 | − | 0.879429i | \(-0.657925\pi\) |
0.963306 | + | 0.268404i | \(0.0864962\pi\) | |||||||
\(252\) | 0.0652575 | + | 0.0919386i | 0.00411084 | + | 0.00579159i | ||||
\(253\) | −11.4450 | − | 14.3515i | −0.719538 | − | 0.902273i | ||||
\(254\) | −6.51150 | + | 2.00853i | −0.408568 | + | 0.126027i | ||||
\(255\) | 6.46412 | + | 16.4703i | 0.404799 | + | 1.03141i | ||||
\(256\) | −1.04549 | − | 0.322491i | −0.0653431 | − | 0.0201557i | ||||
\(257\) | 1.43568 | + | 19.1578i | 0.0895553 | + | 1.19503i | 0.843145 | + | 0.537687i | \(0.180702\pi\) |
−0.753589 | + | 0.657345i | \(0.771679\pi\) | |||||||
\(258\) | 2.85184 | + | 12.4947i | 0.177548 | + | 0.777887i | ||||
\(259\) | −1.92335 | − | 3.80834i | −0.119511 | − | 0.236639i | ||||
\(260\) | 0.0512588 | − | 0.224579i | 0.00317894 | − | 0.0139278i | ||||
\(261\) | 5.55069 | + | 0.836632i | 0.343579 | + | 0.0517862i | ||||
\(262\) | −5.53942 | + | 3.77671i | −0.342227 | + | 0.233326i | ||||
\(263\) | 4.59200 | − | 7.95358i | 0.283155 | − | 0.490439i | −0.689005 | − | 0.724756i | \(-0.741952\pi\) |
0.972160 | + | 0.234318i | \(0.0752856\pi\) | |||||||
\(264\) | 14.5856 | + | 25.2630i | 0.897680 | + | 1.55483i | ||||
\(265\) | 7.96722 | + | 3.83681i | 0.489423 | + | 0.235693i | ||||
\(266\) | 1.25773 | − | 0.118158i | 0.0771164 | − | 0.00724474i | ||||
\(267\) | 0.850229 | − | 0.409449i | 0.0520332 | − | 0.0250579i | ||||
\(268\) | −0.451630 | − | 0.307916i | −0.0275877 | − | 0.0188090i | ||||
\(269\) | 13.0942 | + | 12.1497i | 0.798369 | + | 0.740778i | 0.969664 | − | 0.244441i | \(-0.0786046\pi\) |
−0.171295 | + | 0.985220i | \(0.554795\pi\) | |||||||
\(270\) | −12.7856 | − | 11.8633i | −0.778104 | − | 0.721975i | ||||
\(271\) | 0.0206336 | + | 0.0140677i | 0.00125340 | + | 0.000854554i | 0.563947 | − | 0.825811i | \(-0.309282\pi\) |
−0.562693 | + | 0.826666i | \(0.690235\pi\) | |||||||
\(272\) | −10.3116 | + | 4.96579i | −0.625230 | + | 0.301095i | ||||
\(273\) | −6.03975 | − | 6.26783i | −0.365542 | − | 0.379346i | ||||
\(274\) | −22.2748 | − | 10.7270i | −1.34567 | − | 0.648041i | ||||
\(275\) | −10.9834 | − | 19.0238i | −0.662325 | − | 1.14718i | ||||
\(276\) | −0.161461 | + | 0.279658i | −0.00971879 | + | 0.0168334i | ||||
\(277\) | 4.95931 | − | 3.38120i | 0.297976 | − | 0.203156i | −0.405098 | − | 0.914273i | \(-0.632763\pi\) |
0.703074 | + | 0.711117i | \(0.251810\pi\) | |||||||
\(278\) | 13.5363 | + | 2.04027i | 0.811855 | + | 0.122367i | ||||
\(279\) | 0.543212 | − | 2.37997i | 0.0325213 | − | 0.142485i | ||||
\(280\) | 17.7379 | − | 14.7015i | 1.06004 | − | 0.878583i | ||||
\(281\) | 5.27888 | + | 23.1283i | 0.314912 | + | 1.37972i | 0.846353 | + | 0.532623i | \(0.178793\pi\) |
−0.531441 | + | 0.847095i | \(0.678349\pi\) | |||||||
\(282\) | −2.11576 | − | 28.2328i | −0.125991 | − | 1.68124i | ||||
\(283\) | 19.7093 | + | 6.07951i | 1.17160 | + | 0.361390i | 0.818672 | − | 0.574262i | \(-0.194711\pi\) |
0.352925 | + | 0.935652i | \(0.385187\pi\) | |||||||
\(284\) | −0.0309485 | − | 0.0788556i | −0.00183646 | − | 0.00467922i | ||||
\(285\) | −1.97111 | + | 0.608007i | −0.116758 | + | 0.0360152i | ||||
\(286\) | −7.43496 | − | 9.32315i | −0.439639 | − | 0.551289i | ||||
\(287\) | −7.54243 | − | 4.16688i | −0.445216 | − | 0.245963i | ||||
\(288\) | 0.150267 | − | 0.188429i | 0.00885457 | − | 0.0111033i | ||||
\(289\) | −3.07529 | + | 7.83570i | −0.180899 | + | 0.460924i | ||||
\(290\) | 1.91129 | − | 25.5044i | 0.112235 | − | 1.49767i | ||||
\(291\) | −15.1199 | + | 2.27896i | −0.886346 | + | 0.133595i | ||||
\(292\) | −0.438604 | + | 0.406965i | −0.0256673 | + | 0.0238158i | ||||
\(293\) | −9.60232 | −0.560974 | −0.280487 | − | 0.959858i | \(-0.590496\pi\) | ||||
−0.280487 | + | 0.959858i | \(0.590496\pi\) | |||||||
\(294\) | −2.17987 | − | 19.2877i | −0.127132 | − | 1.12488i | ||||
\(295\) | 28.3525 | 1.65074 | ||||||||
\(296\) | −3.38051 | + | 3.13666i | −0.196488 | + | 0.182315i | ||||
\(297\) | 20.8363 | − | 3.14057i | 1.20904 | − | 0.182234i | ||||
\(298\) | 0.493159 | − | 6.58075i | 0.0285679 | − | 0.381212i | ||||
\(299\) | 2.16293 | − | 5.51105i | 0.125085 | − | 0.318712i | ||||
\(300\) | −0.240940 | + | 0.302129i | −0.0139107 | + | 0.0174434i | ||||
\(301\) | −3.38322 | + | 11.7509i | −0.195005 | + | 0.677313i | ||||
\(302\) | 10.6831 | + | 13.3962i | 0.614745 | + | 0.770866i | ||||
\(303\) | 1.55686 | − | 0.480227i | 0.0894392 | − | 0.0275883i | ||||
\(304\) | −0.487472 | − | 1.24206i | −0.0279584 | − | 0.0712369i | ||||
\(305\) | −15.0144 | − | 4.63132i | −0.859721 | − | 0.265189i | ||||
\(306\) | −0.285942 | − | 3.81563i | −0.0163462 | − | 0.218125i | ||||
\(307\) | −0.340557 | − | 1.49208i | −0.0194366 | − | 0.0851573i | 0.964279 | − | 0.264887i | \(-0.0853347\pi\) |
−0.983716 | + | 0.179730i | \(0.942478\pi\) | |||||||
\(308\) | 0.0117105 | + | 0.620493i | 0.000667269 | + | 0.0353559i | ||||
\(309\) | −0.566660 | + | 2.48270i | −0.0322362 | + | 0.141236i | ||||
\(310\) | −10.9983 | − | 1.65773i | −0.624664 | − | 0.0941529i | ||||
\(311\) | −9.03816 | + | 6.16211i | −0.512507 | + | 0.349421i | −0.791796 | − | 0.610786i | \(-0.790854\pi\) |
0.279289 | + | 0.960207i | \(0.409901\pi\) | |||||||
\(312\) | −4.70416 | + | 8.14784i | −0.266320 | + | 0.461281i | ||||
\(313\) | −13.2243 | − | 22.9052i | −0.747482 | − | 1.29468i | −0.949026 | − | 0.315197i | \(-0.897929\pi\) |
0.201544 | − | 0.979479i | \(-0.435404\pi\) | |||||||
\(314\) | 22.8869 | + | 11.0218i | 1.29159 | + | 0.621995i | ||||
\(315\) | 2.35380 | + | 7.14901i | 0.132622 | + | 0.402801i | ||||
\(316\) | 0.568695 | − | 0.273869i | 0.0319916 | − | 0.0154063i | ||||
\(317\) | −14.0501 | − | 9.57916i | −0.789130 | − | 0.538019i | 0.100373 | − | 0.994950i | \(-0.467996\pi\) |
−0.889502 | + | 0.456930i | \(0.848949\pi\) | |||||||
\(318\) | −5.90331 | − | 5.47747i | −0.331041 | − | 0.307161i | ||||
\(319\) | 22.6506 | + | 21.0167i | 1.26819 | + | 1.17671i | ||||
\(320\) | −20.5644 | − | 14.0206i | −1.14958 | − | 0.783773i | ||||
\(321\) | −15.5497 | + | 7.48836i | −0.867902 | + | 0.417960i | ||||
\(322\) | 11.3069 | − | 6.81567i | 0.630106 | − | 0.379823i | ||||
\(323\) | 0.901480 | + | 0.434130i | 0.0501597 | + | 0.0241556i | ||||
\(324\) | −0.249265 | − | 0.431739i | −0.0138480 | − | 0.0239855i | ||||
\(325\) | 3.54239 | − | 6.13559i | 0.196496 | − | 0.340342i | ||||
\(326\) | 2.68039 | − | 1.82746i | 0.148453 | − | 0.101214i | ||||
\(327\) | 29.8051 | + | 4.49240i | 1.64823 | + | 0.248430i | ||||
\(328\) | −2.07254 | + | 9.08037i | −0.114437 | + | 0.501380i | ||||
\(329\) | 11.2594 | − | 24.5552i | 0.620750 | − | 1.35377i | ||||
\(330\) | 9.66218 | + | 42.3328i | 0.531885 | + | 2.33034i | ||||
\(331\) | 1.02548 | + | 13.6840i | 0.0563653 | + | 0.752142i | 0.951755 | + | 0.306859i | \(0.0992780\pi\) |
−0.895390 | + | 0.445283i | \(0.853103\pi\) | |||||||
\(332\) | 0.0380953 | + | 0.0117508i | 0.00209075 | + | 0.000644912i | ||||
\(333\) | −0.550415 | − | 1.40243i | −0.0301625 | − | 0.0768529i | ||||
\(334\) | 16.1797 | − | 4.99078i | 0.885314 | − | 0.273083i | ||||
\(335\) | −22.7514 | − | 28.5293i | −1.24304 | − | 1.55872i | ||||
\(336\) | −18.9398 | + | 7.84891i | −1.03325 | + | 0.428193i | ||||
\(337\) | 7.18694 | − | 9.01214i | 0.391498 | − | 0.490923i | −0.546551 | − | 0.837426i | \(-0.684060\pi\) |
0.938049 | + | 0.346503i | \(0.112631\pi\) | |||||||
\(338\) | −5.23458 | + | 13.3375i | −0.284724 | + | 0.725465i | ||||
\(339\) | −1.58474 | + | 21.1469i | −0.0860713 | + | 1.14854i | ||||
\(340\) | 0.402321 | − | 0.0606402i | 0.0218189 | − | 0.00328868i | ||||
\(341\) | 9.85040 | − | 9.13983i | 0.533429 | − | 0.494950i | ||||
\(342\) | 0.446086 | 0.0241216 | ||||||||
\(343\) | 7.07863 | − | 17.1141i | 0.382210 | − | 0.924075i | ||||
\(344\) | 13.2174 | 0.712633 | ||||||||
\(345\) | −15.8027 | + | 14.6628i | −0.850791 | + | 0.789419i | ||||
\(346\) | −4.00778 | + | 0.604075i | −0.215459 | + | 0.0324753i | ||||
\(347\) | 0.645582 | − | 8.61470i | 0.0346567 | − | 0.462461i | −0.952696 | − | 0.303924i | \(-0.901703\pi\) |
0.987353 | − | 0.158537i | \(-0.0506778\pi\) | |||||||
\(348\) | 0.198589 | − | 0.505997i | 0.0106455 | − | 0.0271243i | ||||
\(349\) | −21.9262 | + | 27.4946i | −1.17368 | + | 1.47175i | −0.322741 | + | 0.946487i | \(0.604604\pi\) |
−0.850940 | + | 0.525263i | \(0.823967\pi\) | |||||||
\(350\) | 14.5953 | − | 6.04850i | 0.780153 | − | 0.323306i | ||||
\(351\) | 4.23727 | + | 5.31337i | 0.226169 | + | 0.283607i | ||||
\(352\) | 1.26771 | − | 0.391036i | 0.0675690 | − | 0.0208423i | ||||
\(353\) | 7.56928 | + | 19.2862i | 0.402872 | + | 1.02650i | 0.978031 | + | 0.208460i | \(0.0668451\pi\) |
−0.575158 | + | 0.818042i | \(0.695060\pi\) | |||||||
\(354\) | −24.6728 | − | 7.61055i | −1.31134 | − | 0.404496i | ||||
\(355\) | −0.422608 | − | 5.63932i | −0.0224297 | − | 0.299304i | ||||
\(356\) | −0.00482878 | − | 0.0211563i | −0.000255925 | − | 0.00112128i | ||||
\(357\) | 6.40796 | − | 13.9749i | 0.339145 | − | 0.739629i | ||||
\(358\) | −2.39944 | + | 10.5126i | −0.126814 | + | 0.555610i | ||||
\(359\) | 29.0737 | + | 4.38216i | 1.53445 | + | 0.231282i | 0.861252 | − | 0.508178i | \(-0.169681\pi\) |
0.673201 | + | 0.739459i | \(0.264919\pi\) | |||||||
\(360\) | 6.72172 | − | 4.58279i | 0.354266 | − | 0.241534i | ||||
\(361\) | 9.44168 | − | 16.3535i | 0.496930 | − | 0.860708i | ||||
\(362\) | 13.5786 | + | 23.5188i | 0.713674 | + | 1.23612i | ||||
\(363\) | −27.6059 | − | 13.2943i | −1.44893 | − | 0.697770i | ||||
\(364\) | −0.171423 | + | 0.103332i | −0.00898498 | + | 0.00541607i | ||||
\(365\) | −35.9872 | + | 17.3305i | −1.88366 | + | 0.907122i | ||||
\(366\) | 11.8226 | + | 8.06051i | 0.617977 | + | 0.421330i | ||||
\(367\) | −24.3137 | − | 22.5599i | −1.26917 | − | 1.17762i | −0.975084 | − | 0.221835i | \(-0.928795\pi\) |
−0.294083 | − | 0.955780i | \(-0.595014\pi\) | |||||||
\(368\) | −10.2220 | − | 9.48464i | −0.532859 | − | 0.494421i | ||||
\(369\) | −2.51409 | − | 1.71408i | −0.130878 | − | 0.0892313i | ||||
\(370\) | −6.18455 | + | 2.97832i | −0.321520 | + | 0.154836i | ||||
\(371\) | −2.40297 | − | 7.29833i | −0.124756 | − | 0.378910i | ||||
\(372\) | −0.212981 | − | 0.102566i | −0.0110425 | − | 0.00531781i | ||||
\(373\) | 4.74746 | + | 8.22284i | 0.245814 | + | 0.425762i | 0.962360 | − | 0.271777i | \(-0.0876114\pi\) |
−0.716546 | + | 0.697540i | \(0.754278\pi\) | |||||||
\(374\) | 10.5311 | − | 18.2404i | 0.544549 | − | 0.943187i | ||||
\(375\) | 3.63558 | − | 2.47870i | 0.187740 | − | 0.127999i | ||||
\(376\) | −28.8724 | − | 4.35182i | −1.48898 | − | 0.224428i | ||||
\(377\) | −2.21756 | + | 9.71575i | −0.114210 | + | 0.500387i | ||||
\(378\) | 0.285971 | + | 15.1524i | 0.0147088 | + | 0.779358i | ||||
\(379\) | 2.94125 | + | 12.8865i | 0.151082 | + | 0.661934i | 0.992572 | + | 0.121661i | \(0.0388219\pi\) |
−0.841490 | + | 0.540273i | \(0.818321\pi\) | |||||||
\(380\) | 0.00354473 | + | 0.0473011i | 0.000181841 | + | 0.00242650i | ||||
\(381\) | −9.23864 | − | 2.84974i | −0.473310 | − | 0.145997i | ||||
\(382\) | 0.998708 | + | 2.54467i | 0.0510983 | + | 0.130196i | ||||
\(383\) | 2.79180 | − | 0.861157i | 0.142655 | − | 0.0440031i | −0.222606 | − | 0.974909i | \(-0.571456\pi\) |
0.365260 | + | 0.930905i | \(0.380980\pi\) | |||||||
\(384\) | 13.4939 | + | 16.9209i | 0.688609 | + | 0.863489i | ||||
\(385\) | −11.4625 | + | 39.8128i | −0.584184 | + | 2.02905i | ||||
\(386\) | 3.08584 | − | 3.86952i | 0.157065 | − | 0.196954i | ||||
\(387\) | −1.57756 | + | 4.01957i | −0.0801921 | + | 0.204326i | ||||
\(388\) | −0.0262763 | + | 0.350633i | −0.00133398 | + | 0.0178007i | ||||
\(389\) | 13.0024 | − | 1.95980i | 0.659248 | − | 0.0993657i | 0.189106 | − | 0.981957i | \(-0.439441\pi\) |
0.470142 | + | 0.882591i | \(0.344203\pi\) | |||||||
\(390\) | −10.2659 | + | 9.52537i | −0.519834 | + | 0.482336i | ||||
\(391\) | 10.4568 | 0.528821 | ||||||||
\(392\) | −19.8932 | − | 2.23454i | −1.00476 | − | 0.112861i | ||||
\(393\) | −9.51230 | −0.479832 | ||||||||
\(394\) | 23.5992 | − | 21.8968i | 1.18891 | − | 1.10315i | ||||
\(395\) | 41.6670 | − | 6.28029i | 2.09650 | − | 0.315996i | ||||
\(396\) | −0.0163770 | + | 0.218535i | −0.000822973 | + | 0.0109818i | ||||
\(397\) | −3.67103 | + | 9.35362i | −0.184244 | + | 0.469445i | −0.992917 | − | 0.118813i | \(-0.962091\pi\) |
0.808673 | + | 0.588258i | \(0.200186\pi\) | |||||||
\(398\) | 14.1150 | − | 17.6997i | 0.707523 | − | 0.887206i | ||||
\(399\) | 1.56885 | + | 0.866725i | 0.0785409 | + | 0.0433905i | ||||
\(400\) | −10.4043 | − | 13.0466i | −0.520216 | − | 0.652331i | ||||
\(401\) | −15.9236 | + | 4.91179i | −0.795188 | + | 0.245283i | −0.665623 | − | 0.746288i | \(-0.731834\pi\) |
−0.129565 | + | 0.991571i | \(0.541358\pi\) | |||||||
\(402\) | 12.1406 | + | 30.9338i | 0.605518 | + | 1.54284i | ||||
\(403\) | 4.14134 | + | 1.27743i | 0.206295 | + | 0.0636336i | ||||
\(404\) | −0.00279976 | − | 0.0373603i | −0.000139293 | − | 0.00185874i | ||||
\(405\) | −7.40564 | − | 32.4462i | −0.367989 | − | 1.61227i | ||||
\(406\) | −17.1103 | + | 14.1813i | −0.849168 | + | 0.703808i | ||||
\(407\) | 1.84537 | − | 8.08509i | 0.0914715 | − | 0.400763i | ||||
\(408\) | −16.4319 | − | 2.47671i | −0.813500 | − | 0.122615i | ||||
\(409\) | −8.01635 | + | 5.46545i | −0.396383 | + | 0.270249i | −0.745065 | − | 0.666992i | \(-0.767582\pi\) |
0.348682 | + | 0.937241i | \(0.386629\pi\) | |||||||
\(410\) | −6.93189 | + | 12.0064i | −0.342342 | + | 0.592953i | ||||
\(411\) | −17.5388 | − | 30.3782i | −0.865128 | − | 1.49844i | ||||
\(412\) | 0.0527597 | + | 0.0254077i | 0.00259928 | + | 0.00125175i | ||||
\(413\) | −17.0944 | − | 17.7399i | −0.841159 | − | 0.872923i | ||||
\(414\) | 4.20029 | − | 2.02275i | 0.206433 | − | 0.0994130i | ||||
\(415\) | 2.19895 | + | 1.49922i | 0.107942 | + | 0.0735936i | ||||
\(416\) | 0.313652 | + | 0.291027i | 0.0153781 | + | 0.0142688i | ||||
\(417\) | 14.2377 | + | 13.2107i | 0.697224 | + | 0.646929i | ||||
\(418\) | 2.02883 | + | 1.38323i | 0.0992332 | + | 0.0676560i | ||||
\(419\) | −18.6164 | + | 8.96520i | −0.909472 | + | 0.437979i | −0.829301 | − | 0.558802i | \(-0.811261\pi\) |
−0.0801714 | + | 0.996781i | \(0.525547\pi\) | |||||||
\(420\) | 0.725637 | − | 0.0681703i | 0.0354075 | − | 0.00332637i | ||||
\(421\) | −4.75730 | − | 2.29099i | −0.231856 | − | 0.111656i | 0.314349 | − | 0.949308i | \(-0.398214\pi\) |
−0.546205 | + | 0.837651i | \(0.683928\pi\) | |||||||
\(422\) | −13.7899 | − | 23.8848i | −0.671282 | − | 1.16269i | ||||
\(423\) | 4.76952 | − | 8.26105i | 0.231902 | − | 0.401666i | ||||
\(424\) | −6.86211 | + | 4.67851i | −0.333253 | + | 0.227208i | ||||
\(425\) | 12.3738 | + | 1.86504i | 0.600216 | + | 0.0904679i | ||||
\(426\) | −1.14598 | + | 5.02087i | −0.0555229 | + | 0.243262i | ||||
\(427\) | 6.15474 | + | 12.1867i | 0.297849 | + | 0.589756i | ||||
\(428\) | 0.0883130 | + | 0.386925i | 0.00426877 | + | 0.0187027i | ||||
\(429\) | −1.26436 | − | 16.8717i | −0.0610440 | − | 0.814576i | ||||
\(430\) | 18.8001 | + | 5.79905i | 0.906619 | + | 0.279655i | ||||
\(431\) | −7.99907 | − | 20.3813i | −0.385302 | − | 0.981733i | −0.983585 | − | 0.180448i | \(-0.942245\pi\) |
0.598283 | − | 0.801285i | \(-0.295850\pi\) | |||||||
\(432\) | 15.2960 | − | 4.71821i | 0.735931 | − | 0.227005i | ||||
\(433\) | 20.7707 | + | 26.0456i | 0.998175 | + | 1.25167i | 0.967692 | + | 0.252136i | \(0.0811331\pi\) |
0.0304828 | + | 0.999535i | \(0.490296\pi\) | |||||||
\(434\) | 5.59393 | + | 7.88106i | 0.268517 | + | 0.378303i | ||||
\(435\) | 22.6250 | − | 28.3708i | 1.08478 | − | 1.36028i | ||||
\(436\) | 0.253226 | − | 0.645209i | 0.0121273 | − | 0.0308999i | ||||
\(437\) | −0.0911022 | + | 1.21567i | −0.00435801 | + | 0.0581536i | ||||
\(438\) | 35.9687 | − | 5.42141i | 1.71865 | − | 0.259045i | ||||
\(439\) | 13.6710 | − | 12.6848i | 0.652482 | − | 0.605414i | −0.282860 | − | 0.959161i | \(-0.591283\pi\) |
0.935341 | + | 0.353747i | \(0.115093\pi\) | |||||||
\(440\) | 44.7811 | 2.13486 | ||||||||
\(441\) | 3.05391 | − | 5.78306i | 0.145424 | − | 0.275384i | ||||
\(442\) | 6.79300 | 0.323110 | ||||||||
\(443\) | 27.9415 | − | 25.9259i | 1.32754 | − | 1.23178i | 0.375125 | − | 0.926974i | \(-0.377600\pi\) |
0.952415 | − | 0.304803i | \(-0.0985908\pi\) | |||||||
\(444\) | −0.144260 | + | 0.0217437i | −0.00684628 | + | 0.00103191i | ||||
\(445\) | 0.108259 | − | 1.44461i | 0.00513196 | − | 0.0684813i | ||||
\(446\) | −4.27384 | + | 10.8896i | −0.202372 | + | 0.515636i | ||||
\(447\) | 5.83777 | − | 7.32034i | 0.276117 | − | 0.346240i | ||||
\(448\) | 3.62620 | + | 21.3203i | 0.171322 | + | 1.00729i | ||||
\(449\) | −8.94093 | − | 11.2116i | −0.421949 | − | 0.529107i | 0.524738 | − | 0.851264i | \(-0.324163\pi\) |
−0.946686 | + | 0.322157i | \(0.895592\pi\) | |||||||
\(450\) | 5.33110 | − | 1.64443i | 0.251310 | − | 0.0775189i | ||||
\(451\) | −6.11919 | − | 15.5914i | −0.288141 | − | 0.734172i | ||||
\(452\) | 0.465979 | + | 0.143736i | 0.0219178 | + | 0.00676076i | ||||
\(453\) | 1.81673 | + | 24.2426i | 0.0853576 | + | 1.13902i | ||||
\(454\) | −8.20789 | − | 35.9611i | −0.385215 | − | 1.68774i | ||||
\(455\) | −12.9686 | + | 3.21863i | −0.607979 | + | 0.150892i | ||||
\(456\) | 0.431095 | − | 1.88875i | 0.0201879 | − | 0.0884488i | ||||
\(457\) | −17.4292 | − | 2.62703i | −0.815305 | − | 0.122887i | −0.271865 | − | 0.962335i | \(-0.587640\pi\) |
−0.543440 | + | 0.839448i | \(0.682878\pi\) | |||||||
\(458\) | −4.41829 | + | 3.01234i | −0.206453 | + | 0.140757i | ||||
\(459\) | −6.00179 | + | 10.3954i | −0.280139 | + | 0.485216i | ||||
\(460\) | 0.247861 | + | 0.429308i | 0.0115566 | + | 0.0200166i | ||||
\(461\) | −1.39891 | − | 0.673680i | −0.0651538 | − | 0.0313764i | 0.401023 | − | 0.916068i | \(-0.368655\pi\) |
−0.466177 | + | 0.884692i | \(0.654369\pi\) | |||||||
\(462\) | 20.6617 | − | 31.5690i | 0.961269 | − | 1.46872i | ||||
\(463\) | 12.7074 | − | 6.11956i | 0.590562 | − | 0.284400i | −0.114639 | − | 0.993407i | \(-0.536571\pi\) |
0.705201 | + | 0.709007i | \(0.250857\pi\) | |||||||
\(464\) | 19.3940 | + | 13.2226i | 0.900345 | + | 0.613845i | ||||
\(465\) | −11.5682 | − | 10.7337i | −0.536463 | − | 0.497765i | ||||
\(466\) | 0.452278 | + | 0.419653i | 0.0209514 | + | 0.0194401i | ||||
\(467\) | −10.2320 | − | 6.97609i | −0.473483 | − | 0.322815i | 0.302960 | − | 0.953003i | \(-0.402025\pi\) |
−0.776442 | + | 0.630188i | \(0.782978\pi\) | |||||||
\(468\) | −0.0636804 | + | 0.0306669i | −0.00294363 | + | 0.00141758i | ||||
\(469\) | −4.13321 | + | 31.4363i | −0.190854 | + | 1.45159i | ||||
\(470\) | −39.1581 | − | 18.8575i | −1.80623 | − | 0.869833i | ||||
\(471\) | 18.0208 | + | 31.2130i | 0.830356 | + | 1.43822i | ||||
\(472\) | −13.3142 | + | 23.0609i | −0.612836 | + | 1.06146i | ||||
\(473\) | −19.6388 | + | 13.3895i | −0.902992 | + | 0.615650i | ||||
\(474\) | −37.9452 | − | 5.71931i | −1.74288 | − | 0.262697i | ||||
\(475\) | −0.324629 | + | 1.42229i | −0.0148950 | + | 0.0652592i | ||||
\(476\) | −0.280511 | − | 0.215168i | −0.0128572 | − | 0.00986219i | ||||
\(477\) | −0.603763 | − | 2.64526i | −0.0276444 | − | 0.121118i | ||||
\(478\) | 0.661277 | + | 8.82413i | 0.0302461 | + | 0.403606i | ||||
\(479\) | −35.4006 | − | 10.9196i | −1.61749 | − | 0.498930i | −0.651751 | − | 0.758433i | \(-0.725965\pi\) |
−0.965742 | + | 0.259503i | \(0.916441\pi\) | |||||||
\(480\) | −0.569202 | − | 1.45030i | −0.0259804 | − | 0.0661970i | ||||
\(481\) | 2.55584 | − | 0.788373i | 0.116536 | − | 0.0359467i | ||||
\(482\) | 12.0396 | + | 15.0972i | 0.548389 | + | 0.687659i | ||||
\(483\) | 18.7022 | + | 1.04709i | 0.850981 | + | 0.0476443i | ||||
\(484\) | −0.439301 | + | 0.550866i | −0.0199682 | + | 0.0250393i | ||||
\(485\) | −8.57567 | + | 21.8504i | −0.389401 | + | 0.992178i | ||||
\(486\) | −0.980725 | + | 13.0869i | −0.0444866 | + | 0.593633i | ||||
\(487\) | −29.0923 | + | 4.38496i | −1.31830 | + | 0.198702i | −0.770249 | − | 0.637744i | \(-0.779868\pi\) |
−0.548051 | + | 0.836445i | \(0.684630\pi\) | |||||||
\(488\) | 10.8177 | − | 10.0373i | 0.489692 | − | 0.454368i | ||||
\(489\) | 4.60277 | 0.208144 | ||||||||
\(490\) | −27.3152 | − | 11.9064i | −1.23397 | − | 0.537876i | ||||
\(491\) | −19.1247 | −0.863086 | −0.431543 | − | 0.902092i | \(-0.642031\pi\) | ||||
−0.431543 | + | 0.902092i | \(0.642031\pi\) | |||||||
\(492\) | −0.215994 | + | 0.200413i | −0.00973777 | + | 0.00903533i | ||||
\(493\) | −17.4052 | + | 2.62341i | −0.783892 | + | 0.118153i | ||||
\(494\) | −0.0591825 | + | 0.789736i | −0.00266275 | + | 0.0355319i | ||||
\(495\) | −5.34487 | + | 13.6185i | −0.240234 | + | 0.612107i | ||||
\(496\) | 6.36451 | − | 7.98085i | 0.285775 | − | 0.358351i | ||||
\(497\) | −3.27367 | + | 3.66450i | −0.146844 | + | 0.164375i | ||||
\(498\) | −1.51113 | − | 1.89490i | −0.0677154 | − | 0.0849124i | ||||
\(499\) | −29.6128 | + | 9.13434i | −1.32565 | + | 0.408909i | −0.875144 | − | 0.483863i | \(-0.839233\pi\) |
−0.450508 | + | 0.892772i | \(0.648757\pi\) | |||||||
\(500\) | −0.0369664 | − | 0.0941888i | −0.00165319 | − | 0.00421225i | ||||
\(501\) | 22.9560 | + | 7.08100i | 1.02560 | + | 0.316356i | ||||
\(502\) | 1.29355 | + | 17.2612i | 0.0577340 | + | 0.770407i | ||||
\(503\) | 7.33332 | + | 32.1294i | 0.326977 | + | 1.43258i | 0.824862 | + | 0.565335i | \(0.191253\pi\) |
−0.497885 | + | 0.867243i | \(0.665890\pi\) | |||||||
\(504\) | −6.92009 | − | 1.44265i | −0.308245 | − | 0.0642607i | ||||
\(505\) | 0.556542 | − | 2.43837i | 0.0247658 | − | 0.108506i | ||||
\(506\) | 25.3754 | + | 3.82472i | 1.12807 | + | 0.170030i | ||||
\(507\) | −16.7964 | + | 11.4516i | −0.745954 | + | 0.508583i | ||||
\(508\) | −0.111162 | + | 0.192538i | −0.00493200 | + | 0.00854247i | ||||
\(509\) | 8.19506 | + | 14.1943i | 0.363240 | + | 0.629150i | 0.988492 | − | 0.151273i | \(-0.0483373\pi\) |
−0.625252 | + | 0.780423i | \(0.715004\pi\) | |||||||
\(510\) | −22.2857 | − | 10.7322i | −0.986827 | − | 0.475231i | ||||
\(511\) | 32.5411 | + | 12.0679i | 1.43953 | + | 0.533853i | ||||
\(512\) | 21.0396 | − | 10.1321i | 0.929827 | − | 0.447781i | ||||
\(513\) | −1.15625 | − | 0.788319i | −0.0510498 | − | 0.0348051i | ||||
\(514\) | −19.6880 | − | 18.2678i | −0.868402 | − | 0.805759i | ||||
\(515\) | 2.86568 | + | 2.65897i | 0.126277 | + | 0.117168i | ||||
\(516\) | 0.345483 | + | 0.235546i | 0.0152090 | + | 0.0103693i | ||||
\(517\) | 47.3080 | − | 22.7824i | 2.08061 | − | 1.00197i | ||||
\(518\) | 5.59232 | + | 2.07392i | 0.245713 | + | 0.0911228i | ||||
\(519\) | −5.18105 | − | 2.49506i | −0.227423 | − | 0.109521i | ||||
\(520\) | 7.22143 | + | 12.5079i | 0.316681 | + | 0.548507i | ||||
\(521\) | 17.7234 | − | 30.6977i | 0.776474 | − | 1.34489i | −0.157488 | − | 0.987521i | \(-0.550340\pi\) |
0.933962 | − | 0.357372i | \(-0.116327\pi\) | |||||||
\(522\) | −6.48389 | + | 4.42064i | −0.283792 | + | 0.193486i | ||||
\(523\) | −30.4104 | − | 4.58362i | −1.32975 | − | 0.200428i | −0.554555 | − | 0.832147i | \(-0.687111\pi\) |
−0.775197 | + | 0.631719i | \(0.782350\pi\) | |||||||
\(524\) | −0.0486740 | + | 0.213255i | −0.00212633 | + | 0.00931607i | ||||
\(525\) | 21.9441 | + | 4.57474i | 0.957719 | + | 0.199658i | ||||
\(526\) | 2.85699 | + | 12.5173i | 0.124571 | + | 0.545779i | ||||
\(527\) | 0.572040 | + | 7.63335i | 0.0249185 | + | 0.332514i | ||||
\(528\) | −38.0801 | − | 11.7462i | −1.65722 | − | 0.511186i | ||||
\(529\) | −3.74824 | − | 9.55036i | −0.162967 | − | 0.415233i | ||||
\(530\) | −11.8132 | + | 3.64388i | −0.513131 | + | 0.158280i | ||||
\(531\) | −5.42399 | − | 6.80147i | −0.235381 | − | 0.295158i | ||||
\(532\) | 0.0274587 | − | 0.0307369i | 0.00119049 | − | 0.00133261i | ||||
\(533\) | 3.36809 | − | 4.22345i | 0.145888 | − | 0.182938i | ||||
\(534\) | −0.481981 | + | 1.22807i | −0.0208574 | + | 0.0531437i | ||||
\(535\) | −1.97993 | + | 26.4204i | −0.0856000 | + | 1.14225i | ||||
\(536\) | 33.8887 | − | 5.10790i | 1.46377 | − | 0.220628i | ||||
\(537\) | −11.2150 | + | 10.4060i | −0.483964 | + | 0.449053i | ||||
\(538\) | −24.9718 | −1.07661 | ||||||||
\(539\) | 31.8216 | − | 16.8321i | 1.37065 | − | 0.725009i | ||||
\(540\) | −0.569052 | −0.0244881 | ||||||||
\(541\) | 7.90059 | − | 7.33068i | 0.339673 | − | 0.315171i | −0.491829 | − | 0.870692i | \(-0.663672\pi\) |
0.831503 | + | 0.555521i | \(0.187481\pi\) | |||||||
\(542\) | −0.0345220 | + | 0.00520336i | −0.00148285 | + | 0.000223503i | ||||
\(543\) | −2.87943 | + | 38.4233i | −0.123568 | + | 1.64890i | ||||
\(544\) | −0.276099 | + | 0.703490i | −0.0118377 | + | 0.0301619i | ||||
\(545\) | 28.8496 | − | 36.1763i | 1.23578 | − | 1.54962i | ||||
\(546\) | 12.1495 | + | 0.680220i | 0.519950 | + | 0.0291107i | ||||
\(547\) | −10.5375 | − | 13.2136i | −0.450550 | − | 0.564972i | 0.503739 | − | 0.863856i | \(-0.331957\pi\) |
−0.954290 | + | 0.298883i | \(0.903386\pi\) | |||||||
\(548\) | −0.770789 | + | 0.237757i | −0.0329265 | + | 0.0101565i | ||||
\(549\) | 1.76133 | + | 4.48779i | 0.0751717 | + | 0.191534i | ||||
\(550\) | 29.3452 | + | 9.05179i | 1.25128 | + | 0.385970i | ||||
\(551\) | −0.153352 | − | 2.04634i | −0.00653301 | − | 0.0871770i | ||||
\(552\) | −4.50530 | − | 19.7390i | −0.191758 | − | 0.840148i | ||||
\(553\) | −29.0516 | − | 22.2842i | −1.23540 | − | 0.947619i | ||||
\(554\) | −1.86720 | + | 8.18075i | −0.0793299 | + | 0.347567i | ||||
\(555\) | −9.63046 | − | 1.45156i | −0.408790 | − | 0.0616152i | ||||
\(556\) | 0.369021 | − | 0.251595i | 0.0156500 | − | 0.0106700i | ||||
\(557\) | 9.10664 | − | 15.7732i | 0.385861 | − | 0.668331i | −0.606027 | − | 0.795444i | \(-0.707238\pi\) |
0.991888 | + | 0.127113i | \(0.0405711\pi\) | |||||||
\(558\) | 1.70637 | + | 2.95552i | 0.0722365 | + | 0.125117i | ||||
\(559\) | −6.90681 | − | 3.32614i | −0.292127 | − | 0.140681i | ||||
\(560\) | −4.10267 | + | 31.2040i | −0.173369 | + | 1.31861i | ||||
\(561\) | 26.9240 | − | 12.9659i | 1.13673 | − | 0.547421i | ||||
\(562\) | −27.4020 | − | 18.6824i | −1.15588 | − | 0.788068i | ||||
\(563\) | −8.33631 | − | 7.73497i | −0.351334 | − | 0.325990i | 0.484687 | − | 0.874687i | \(-0.338933\pi\) |
−0.836021 | + | 0.548698i | \(0.815124\pi\) | |||||||
\(564\) | −0.677130 | − | 0.628284i | −0.0285123 | − | 0.0264555i | ||||
\(565\) | 26.8974 | + | 18.3383i | 1.13158 | + | 0.771499i | ||||
\(566\) | −25.9790 | + | 12.5108i | −1.09198 | + | 0.525870i | ||||
\(567\) | −15.8363 | + | 24.1962i | −0.665062 | + | 1.01615i | ||||
\(568\) | 4.78528 | + | 2.30447i | 0.200786 | + | 0.0966934i | ||||
\(569\) | −6.66633 | − | 11.5464i | −0.279467 | − | 0.484051i | 0.691785 | − | 0.722103i | \(-0.256824\pi\) |
−0.971252 | + | 0.238052i | \(0.923491\pi\) | |||||||
\(570\) | 1.44186 | − | 2.49737i | 0.0603928 | − | 0.104603i | ||||
\(571\) | 27.1898 | − | 18.5377i | 1.13786 | − | 0.775778i | 0.160429 | − | 0.987047i | \(-0.448712\pi\) |
0.977428 | + | 0.211269i | \(0.0677597\pi\) | |||||||
\(572\) | −0.384715 | − | 0.0579864i | −0.0160857 | − | 0.00242453i | ||||
\(573\) | −0.863053 | + | 3.78128i | −0.0360546 | + | 0.157965i | ||||
\(574\) | 11.6917 | − | 2.90171i | 0.488002 | − | 0.121115i | ||||
\(575\) | 3.39264 | + | 14.8641i | 0.141483 | + | 0.619877i | ||||
\(576\) | 0.570695 | + | 7.61539i | 0.0237790 | + | 0.317308i | ||||
\(577\) | 9.29316 | + | 2.86656i | 0.386879 | + | 0.119336i | 0.482092 | − | 0.876120i | \(-0.339877\pi\) |
−0.0952130 | + | 0.995457i | \(0.530353\pi\) | |||||||
\(578\) | −4.29924 | − | 10.9543i | −0.178825 | − | 0.455638i | ||||
\(579\) | 6.71019 | − | 2.06982i | 0.278866 | − | 0.0860188i | ||||
\(580\) | −0.520269 | − | 0.652397i | −0.0216030 | − | 0.0270893i | ||||
\(581\) | −0.387750 | − | 2.27977i | −0.0160866 | − | 0.0945809i | ||||
\(582\) | 13.3279 | − | 16.7127i | 0.552460 | − | 0.692764i | ||||
\(583\) | 5.45651 | − | 13.9030i | 0.225985 | − | 0.575801i | ||||
\(584\) | 2.80343 | − | 37.4091i | 0.116007 | − | 1.54800i | ||||
\(585\) | −4.66573 | + | 0.703245i | −0.192904 | + | 0.0290756i | ||||
\(586\) | 9.84048 | − | 9.13063i | 0.406507 | − | 0.377183i | ||||
\(587\) | 9.81759 | 0.405216 | 0.202608 | − | 0.979260i | \(-0.435058\pi\) | ||||
0.202608 | + | 0.979260i | \(0.435058\pi\) | |||||||
\(588\) | −0.480157 | − | 0.412923i | −0.0198013 | − | 0.0170287i | ||||
\(589\) | −0.892416 | −0.0367714 | ||||||||
\(590\) | −29.0557 | + | 26.9597i | −1.19620 | + | 1.10991i | ||||
\(591\) | 45.1659 | − | 6.80766i | 1.85788 | − | 0.280030i | ||||
\(592\) | 0.470787 | − | 6.28222i | 0.0193492 | − | 0.258198i | ||||
\(593\) | −12.3327 | + | 31.4232i | −0.506443 | + | 1.29039i | 0.417783 | + | 0.908547i | \(0.362807\pi\) |
−0.924225 | + | 0.381848i | \(0.875288\pi\) | |||||||
\(594\) | −18.3668 | + | 23.0312i | −0.753599 | + | 0.944983i | ||||
\(595\) | −13.6604 | − | 19.2456i | −0.560023 | − | 0.788993i | ||||
\(596\) | −0.134242 | − | 0.168334i | −0.00549876 | − | 0.00689523i | ||||
\(597\) | 30.6933 | − | 9.46763i | 1.25619 | − | 0.387484i | ||||
\(598\) | 3.02376 | + | 7.70441i | 0.123651 | + | 0.315057i | ||||
\(599\) | −7.81225 | − | 2.40976i | −0.319200 | − | 0.0984602i | 0.131015 | − | 0.991380i | \(-0.458176\pi\) |
−0.450215 | + | 0.892920i | \(0.648653\pi\) | |||||||
\(600\) | −1.81064 | − | 24.1613i | −0.0739189 | − | 0.986379i | ||||
\(601\) | 5.90190 | + | 25.8579i | 0.240743 | + | 1.05477i | 0.940342 | + | 0.340230i | \(0.110505\pi\) |
−0.699599 | + | 0.714536i | \(0.746638\pi\) | |||||||
\(602\) | −7.70658 | − | 15.2594i | −0.314097 | − | 0.621927i | ||||
\(603\) | −2.49142 | + | 10.9156i | −0.101459 | + | 0.444519i | ||||
\(604\) | 0.552788 | + | 0.0833194i | 0.0224926 | + | 0.00339022i | ||||
\(605\) | −38.8633 | + | 26.4965i | −1.58002 | + | 1.07724i | ||||
\(606\) | −1.13884 | + | 1.97252i | −0.0462620 | + | 0.0801282i | ||||
\(607\) | 15.9130 | + | 27.5622i | 0.645890 | + | 1.11871i | 0.984095 | + | 0.177642i | \(0.0568468\pi\) |
−0.338205 | + | 0.941072i | \(0.609820\pi\) | |||||||
\(608\) | −0.0793804 | − | 0.0382276i | −0.00321930 | − | 0.00155033i | ||||
\(609\) | −31.3925 | + | 2.94918i | −1.27209 | + | 0.119507i | ||||
\(610\) | 19.7906 | − | 9.53065i | 0.801298 | − | 0.385885i | ||||
\(611\) | 13.9923 | + | 9.53979i | 0.566068 | + | 0.385939i | ||||
\(612\) | −0.0915134 | − | 0.0849120i | −0.00369921 | − | 0.00343236i | ||||
\(613\) | −28.4261 | − | 26.3756i | −1.14812 | − | 1.06530i | −0.997048 | − | 0.0767756i | \(-0.975537\pi\) |
−0.151070 | − | 0.988523i | \(-0.548272\pi\) | |||||||
\(614\) | 1.76779 | + | 1.20526i | 0.0713420 | + | 0.0486402i | ||||
\(615\) | −17.7222 | + | 8.53457i | −0.714629 | + | 0.344147i | ||||
\(616\) | −26.9996 | − | 28.0192i | −1.08784 | − | 1.12892i | ||||
\(617\) | −5.08147 | − | 2.44710i | −0.204572 | − | 0.0985167i | 0.328792 | − | 0.944402i | \(-0.393358\pi\) |
−0.533365 | + | 0.845885i | \(0.679073\pi\) | |||||||
\(618\) | −1.78003 | − | 3.08310i | −0.0716033 | − | 0.124021i | ||||
\(619\) | 11.6348 | − | 20.1521i | 0.467644 | − | 0.809983i | −0.531673 | − | 0.846950i | \(-0.678436\pi\) |
0.999316 | + | 0.0369673i | \(0.0117697\pi\) | |||||||
\(620\) | −0.299832 | + | 0.204422i | −0.0120415 | + | 0.00820979i | ||||
\(621\) | −14.4617 | − | 2.17975i | −0.580329 | − | 0.0874705i | ||||
\(622\) | 3.40291 | − | 14.9091i | 0.136444 | − | 0.597802i | ||||
\(623\) | −0.969154 | + | 0.803255i | −0.0388283 | + | 0.0321817i | ||||
\(624\) | −2.85999 | − | 12.5304i | −0.114491 | − | 0.501618i | ||||
\(625\) | −2.10081 | − | 28.0334i | −0.0840324 | − | 1.12133i | ||||
\(626\) | 35.3323 | + | 10.8986i | 1.41216 | + | 0.435595i | ||||
\(627\) | 1.27281 | + | 3.24307i | 0.0508313 | + | 0.129516i | ||||
\(628\) | 0.791970 | − | 0.244291i | 0.0316031 | − | 0.00974825i | ||||
\(629\) | 2.94546 | + | 3.69349i | 0.117443 | + | 0.147269i | ||||
\(630\) | −9.21002 | − | 5.08814i | −0.366936 | − | 0.202717i | ||||
\(631\) | −5.36560 | + | 6.72825i | −0.213601 | + | 0.267848i | −0.877076 | − | 0.480351i | \(-0.840509\pi\) |
0.663475 | + | 0.748198i | \(0.269081\pi\) | |||||||
\(632\) | −14.4585 | + | 36.8397i | −0.575129 | + | 1.46540i | ||||
\(633\) | 2.92424 | − | 39.0213i | 0.116228 | − | 1.55096i | ||||
\(634\) | 23.5071 | − | 3.54313i | 0.933588 | − | 0.140716i | ||||
\(635\) | −10.8798 | + | 10.0950i | −0.431751 | + | 0.400607i | ||||
\(636\) | −0.262741 | −0.0104184 | ||||||||
\(637\) | 9.83296 | + | 6.17378i | 0.389596 | + | 0.244614i | ||||
\(638\) | −43.1967 | −1.71017 | ||||||||
\(639\) | −1.27197 | + | 1.18021i | −0.0503182 | + | 0.0466885i | ||||
\(640\) | 32.8528 | − | 4.95177i | 1.29862 | − | 0.195736i | ||||
\(641\) | 0.113511 | − | 1.51470i | 0.00448343 | − | 0.0598272i | −0.994513 | − | 0.104610i | \(-0.966641\pi\) |
0.998997 | + | 0.0447829i | \(0.0142596\pi\) | |||||||
\(642\) | 8.81490 | − | 22.4600i | 0.347896 | − | 0.886425i | ||||
\(643\) | 17.3518 | − | 21.7585i | 0.684289 | − | 0.858071i | −0.311452 | − | 0.950262i | \(-0.600815\pi\) |
0.995741 | + | 0.0921906i | \(0.0293869\pi\) | |||||||
\(644\) | 0.119173 | − | 0.413924i | 0.00469608 | − | 0.0163109i | ||||
\(645\) | 17.4041 | + | 21.8240i | 0.685286 | + | 0.859321i | ||||
\(646\) | −1.33664 | + | 0.412300i | −0.0525895 | + | 0.0162217i | ||||
\(647\) | 1.17939 | + | 3.00503i | 0.0463664 | + | 0.118140i | 0.952181 | − | 0.305535i | \(-0.0988352\pi\) |
−0.905814 | + | 0.423675i | \(0.860740\pi\) | |||||||
\(648\) | 29.8683 | + | 9.21315i | 1.17334 | + | 0.361927i | ||||
\(649\) | −3.57854 | − | 47.7522i | −0.140470 | − | 1.87444i | ||||
\(650\) | 2.20395 | + | 9.65615i | 0.0864462 | + | 0.378745i | ||||
\(651\) | 0.258743 | + | 13.7098i | 0.0101409 | + | 0.537328i | ||||
\(652\) | 0.0235522 | − | 0.103189i | 0.000922374 | − | 0.00404118i | ||||
\(653\) | 34.8590 | + | 5.25415i | 1.36414 | + | 0.205611i | 0.789980 | − | 0.613133i | \(-0.210091\pi\) |
0.574159 | + | 0.818744i | \(0.305329\pi\) | |||||||
\(654\) | −34.8161 | + | 23.7372i | −1.36142 | + | 0.928199i | ||||
\(655\) | −7.30125 | + | 12.6461i | −0.285283 | + | 0.494125i | ||||
\(656\) | −6.36183 | − | 11.0190i | −0.248388 | − | 0.430220i | ||||
\(657\) | 11.0420 | + | 5.31754i | 0.430789 | + | 0.207457i | ||||
\(658\) | 11.8103 | + | 35.8705i | 0.460414 | + | 1.39838i | ||||
\(659\) | −15.6565 | + | 7.53979i | −0.609892 | + | 0.293709i | −0.713222 | − | 0.700939i | \(-0.752765\pi\) |
0.103329 | + | 0.994647i | \(0.467050\pi\) | |||||||
\(660\) | 1.17051 | + | 0.798043i | 0.0455622 | + | 0.0310638i | ||||
\(661\) | 35.3902 | + | 32.8373i | 1.37652 | + | 1.27722i | 0.922377 | + | 0.386292i | \(0.126244\pi\) |
0.454141 | + | 0.890930i | \(0.349946\pi\) | |||||||
\(662\) | −14.0627 | − | 13.0483i | −0.546564 | − | 0.507137i | ||||
\(663\) | 7.96331 | + | 5.42929i | 0.309269 | + | 0.210856i | ||||
\(664\) | −2.25203 | + | 1.08452i | −0.0873956 | + | 0.0420875i | ||||
\(665\) | 2.35645 | − | 1.42045i | 0.0913794 | − | 0.0550827i | ||||
\(666\) | 1.89761 | + | 0.913841i | 0.0735309 | + | 0.0354106i | ||||
\(667\) | −10.7230 | − | 18.5727i | −0.415195 | − | 0.719138i | ||||
\(668\) | 0.276213 | − | 0.478415i | 0.0106870 | − | 0.0185104i | ||||
\(669\) | −13.7136 | + | 9.34978i | −0.530199 | + | 0.361483i | ||||
\(670\) | 50.4435 | + | 7.60314i | 1.94880 | + | 0.293735i | ||||
\(671\) | −5.90519 | + | 25.8723i | −0.227967 | + | 0.998789i | ||||
\(672\) | −0.564257 | + | 1.23057i | −0.0217667 | + | 0.0474701i | ||||
\(673\) | 8.18221 | + | 35.8486i | 0.315401 | + | 1.38186i | 0.845522 | + | 0.533940i | \(0.179289\pi\) |
−0.530121 | + | 0.847922i | \(0.677854\pi\) | |||||||
\(674\) | 1.20425 | + | 16.0696i | 0.0463859 | + | 0.618977i | ||||
\(675\) | −16.7242 | − | 5.15872i | −0.643713 | − | 0.198559i | ||||
\(676\) | 0.170785 | + | 0.435153i | 0.00656865 | + | 0.0167366i | ||||
\(677\) | −38.6014 | + | 11.9069i | −1.48357 | + | 0.457621i | −0.927598 | − | 0.373579i | \(-0.878130\pi\) |
−0.555973 | + | 0.831200i | \(0.687654\pi\) | |||||||
\(678\) | −18.4841 | − | 23.1783i | −0.709876 | − | 0.890156i | ||||
\(679\) | 18.8421 | − | 7.80843i | 0.723094 | − | 0.299660i | ||||
\(680\) | −15.9051 | + | 19.9444i | −0.609933 | + | 0.764832i | ||||
\(681\) | 19.1199 | − | 48.7167i | 0.732676 | − | 1.86683i | ||||
\(682\) | −1.40385 | + | 18.7330i | −0.0537561 | + | 0.717325i | ||||
\(683\) | −36.0182 | + | 5.42887i | −1.37820 | + | 0.207730i | −0.795990 | − | 0.605310i | \(-0.793049\pi\) |
−0.582208 | + | 0.813040i | \(0.697811\pi\) | |||||||
\(684\) | 0.0106689 | − | 0.00989932i | 0.000407937 | − | 0.000378510i | ||||
\(685\) | −53.8484 | −2.05744 | ||||||||
\(686\) | 9.01923 | + | 24.2695i | 0.344356 | + | 0.926614i | ||||
\(687\) | −7.58708 | −0.289465 | ||||||||
\(688\) | −13.2361 | + | 12.2813i | −0.504622 | + | 0.468221i | ||||
\(689\) | 4.76318 | − | 0.717933i | 0.181463 | − | 0.0273511i | ||||
\(690\) | 2.25216 | − | 30.0530i | 0.0857382 | − | 1.14410i | ||||
\(691\) | −1.10637 | + | 2.81900i | −0.0420885 | + | 0.107240i | −0.950372 | − | 0.311115i | \(-0.899298\pi\) |
0.908284 | + | 0.418354i | \(0.137393\pi\) | |||||||
\(692\) | −0.0824476 | + | 0.103386i | −0.00313419 | + | 0.00393015i | ||||
\(693\) | 11.7435 | − | 4.86668i | 0.446100 | − | 0.184870i | ||||
\(694\) | 7.52993 | + | 9.44223i | 0.285832 | + | 0.358422i | ||||
\(695\) | 28.4912 | − | 8.78837i | 1.08073 | − | 0.333362i | ||||
\(696\) | 12.4512 | + | 31.7252i | 0.471962 | + | 1.20254i | ||||
\(697\) | 9.11741 | + | 2.81235i | 0.345346 | + | 0.106525i | ||||
\(698\) | −3.67396 | − | 49.0256i | −0.139061 | − | 1.85565i | ||||
\(699\) | 0.194791 | + | 0.853435i | 0.00736767 | + | 0.0322799i | ||||
\(700\) | 0.214847 | − | 0.468553i | 0.00812047 | − | 0.0177096i | ||||
\(701\) | −3.61315 | + | 15.8302i | −0.136467 | + | 0.597900i | 0.859729 | + | 0.510751i | \(0.170633\pi\) |
−0.996195 | + | 0.0871485i | \(0.972225\pi\) | |||||||
\(702\) | −9.39473 | − | 1.41603i | −0.354581 | − | 0.0534445i | ||||
\(703\) | −0.455057 | + | 0.310253i | −0.0171628 | + | 0.0117014i | ||||
\(704\) | −21.0184 | + | 36.4049i | −0.792160 | + | 1.37206i | ||||
\(705\) | −30.8325 | − | 53.4034i | −1.16122 | − | 2.01129i | ||||
\(706\) | −26.0959 | − | 12.5671i | −0.982131 | − | 0.472969i | ||||
\(707\) | −1.86122 | + | 1.12193i | −0.0699984 | + | 0.0421944i | ||||
\(708\) | −0.758982 | + | 0.365506i | −0.0285243 | + | 0.0137366i | ||||
\(709\) | 14.4669 | + | 9.86335i | 0.543315 | + | 0.370426i | 0.803659 | − | 0.595090i | \(-0.202884\pi\) |
−0.260344 | + | 0.965516i | \(0.583836\pi\) | |||||||
\(710\) | 5.79539 | + | 5.37734i | 0.217497 | + | 0.201808i | ||||
\(711\) | −9.47772 | − | 8.79404i | −0.355442 | − | 0.329802i | ||||
\(712\) | 1.12416 | + | 0.766439i | 0.0421297 | + | 0.0287235i | ||||
\(713\) | −8.40288 | + | 4.04661i | −0.314690 | + | 0.151547i | ||||
\(714\) | 6.72150 | + | 20.4147i | 0.251546 | + | 0.764000i | ||||
\(715\) | −23.4006 | − | 11.2691i | −0.875134 | − | 0.421442i | ||||
\(716\) | 0.175904 | + | 0.304675i | 0.00657385 | + | 0.0113862i | ||||
\(717\) | −6.27747 | + | 10.8729i | −0.234436 | + | 0.406056i | ||||
\(718\) | −33.9617 | + | 23.1547i | −1.26744 | + | 0.864127i | ||||
\(719\) | 1.21104 | + | 0.182536i | 0.0451643 | + | 0.00680743i | 0.171586 | − | 0.985169i | \(-0.445111\pi\) |
−0.126421 | + | 0.991977i | \(0.540349\pi\) | |||||||
\(720\) | −2.47301 | + | 10.8350i | −0.0921638 | + | 0.403796i | ||||
\(721\) | −0.0640960 | − | 3.39619i | −0.00238706 | − | 0.126481i | ||||
\(722\) | 5.87429 | + | 25.7369i | 0.218618 | + | 0.957830i | ||||
\(723\) | 2.04741 | + | 27.3208i | 0.0761441 | + | 1.01607i | ||||
\(724\) | 0.846672 | + | 0.261164i | 0.0314663 | + | 0.00970607i | ||||
\(725\) | −9.37618 | − | 23.8901i | −0.348223 | − | 0.887257i | ||||
\(726\) | 40.9318 | − | 12.6258i | 1.51912 | − | 0.468587i | ||||
\(727\) | 16.1712 | + | 20.2780i | 0.599755 | + | 0.752069i | 0.985340 | − | 0.170603i | \(-0.0545716\pi\) |
−0.385585 | + | 0.922673i | \(0.626000\pi\) | |||||||
\(728\) | 3.47211 | − | 12.0597i | 0.128685 | − | 0.446962i | ||||
\(729\) | 8.83479 | − | 11.0785i | 0.327214 | − | 0.410314i | ||||
\(730\) | 20.4006 | − | 51.9798i | 0.755059 | − | 1.92386i | ||||
\(731\) | 1.01185 | − | 13.5022i | 0.0374247 | − | 0.499398i | ||||
\(732\) | 0.461633 | − | 0.0695799i | 0.0170624 | − | 0.00257175i | ||||
\(733\) | 16.5224 | − | 15.3306i | 0.610269 | − | 0.566247i | −0.313312 | − | 0.949650i | \(-0.601438\pi\) |
0.923581 | + | 0.383403i | \(0.125248\pi\) | |||||||
\(734\) | 46.3685 | 1.71149 | ||||||||
\(735\) | −22.5049 | − | 35.7892i | −0.830107 | − | 1.32011i | ||||
\(736\) | −0.920777 | −0.0339403 | ||||||||
\(737\) | −45.1785 | + | 41.9195i | −1.66417 | + | 1.54413i | ||||
\(738\) | 4.20632 | − | 0.634001i | 0.154837 | − | 0.0233379i | ||||
\(739\) | 0.944643 | − | 12.6054i | 0.0347493 | − | 0.463697i | −0.952503 | − | 0.304531i | \(-0.901500\pi\) |
0.987252 | − | 0.159166i | \(-0.0508805\pi\) | |||||||
\(740\) | −0.0818209 | + | 0.208476i | −0.00300779 | + | 0.00766374i | ||||
\(741\) | −0.700574 | + | 0.878492i | −0.0257362 | + | 0.0322722i | ||||
\(742\) | 9.40238 | + | 5.19442i | 0.345172 | + | 0.190693i | ||||
\(743\) | 10.2591 | + | 12.8645i | 0.376371 | + | 0.471954i | 0.933555 | − | 0.358435i | \(-0.116690\pi\) |
−0.557184 | + | 0.830389i | \(0.688118\pi\) | |||||||
\(744\) | 14.1628 | − | 4.36866i | 0.519235 | − | 0.160163i | ||||
\(745\) | −5.25119 | − | 13.3798i | −0.192389 | − | 0.490199i | ||||
\(746\) | −12.6841 | − | 3.91253i | −0.464399 | − | 0.143248i | ||||
\(747\) | −0.0610243 | − | 0.814313i | −0.00223276 | − | 0.0297942i | ||||
\(748\) | −0.152912 | − | 0.669951i | −0.00559101 | − | 0.0244958i | ||||
\(749\) | 17.7247 | − | 14.6906i | 0.647648 | − | 0.536784i | ||||
\(750\) | −1.36881 | + | 5.99716i | −0.0499820 | + | 0.218985i | ||||
\(751\) | −45.8791 | − | 6.91516i | −1.67415 | − | 0.252338i | −0.757734 | − | 0.652563i | \(-0.773694\pi\) |
−0.916417 | + | 0.400226i | \(0.868932\pi\) | |||||||
\(752\) | 32.9570 | − | 22.4697i | 1.20182 | − | 0.819386i | ||||
\(753\) | −12.2796 | + | 21.2689i | −0.447494 | + | 0.775082i | ||||
\(754\) | −6.96593 | − | 12.0653i | −0.253684 | − | 0.439394i | ||||
\(755\) | 33.6238 | + | 16.1924i | 1.22370 | + | 0.589301i | ||||
\(756\) | 0.343095 | + | 0.356051i | 0.0124782 | + | 0.0129494i | ||||
\(757\) | 45.7806 | − | 22.0468i | 1.66393 | − | 0.801304i | 0.665430 | − | 0.746460i | \(-0.268248\pi\) |
0.998495 | − | 0.0548444i | \(-0.0174663\pi\) | |||||||
\(758\) | −15.2677 | − | 10.4093i | −0.554547 | − | 0.378083i | ||||
\(759\) | 26.6902 | + | 24.7649i | 0.968792 | + | 0.898908i | ||||
\(760\) | −2.18011 | − | 2.02285i | −0.0790809 | − | 0.0733763i | ||||
\(761\) | 35.5545 | + | 24.2406i | 1.28885 | + | 0.878722i | 0.996974 | − | 0.0777348i | \(-0.0247688\pi\) |
0.291874 | + | 0.956457i | \(0.405721\pi\) | |||||||
\(762\) | 12.1775 | − | 5.86439i | 0.441146 | − | 0.212445i | ||||
\(763\) | −40.0293 | + | 3.76057i | −1.44916 | + | 0.136142i | ||||
\(764\) | 0.0803558 | + | 0.0386973i | 0.00290717 | + | 0.00140002i | ||||
\(765\) | −4.16698 | − | 7.21741i | −0.150657 | − | 0.260946i | ||||
\(766\) | −2.04219 | + | 3.53718i | −0.0737874 | + | 0.127804i | ||||
\(767\) | 12.7607 | − | 8.70008i | 0.460761 | − | 0.314142i | ||||
\(768\) | 2.14590 | + | 0.323443i | 0.0774336 | + | 0.0116712i | ||||
\(769\) | −3.74912 | + | 16.4260i | −0.135197 | + | 0.592336i | 0.861255 | + | 0.508173i | \(0.169679\pi\) |
−0.996452 | + | 0.0841633i | \(0.973178\pi\) | |||||||
\(770\) | −26.1103 | − | 51.6997i | −0.940950 | − | 1.86313i | ||||
\(771\) | −8.47940 | − | 37.1507i | −0.305378 | − | 1.33795i | ||||
\(772\) | −0.0120672 | − | 0.161026i | −0.000434309 | − | 0.00579545i | ||||
\(773\) | 8.48457 | + | 2.61714i | 0.305169 | + | 0.0941321i | 0.443558 | − | 0.896246i | \(-0.353716\pi\) |
−0.138389 | + | 0.990378i | \(0.544192\pi\) | |||||||
\(774\) | −2.20543 | − | 5.61933i | −0.0792724 | − | 0.201983i | ||||
\(775\) | −10.6651 | + | 3.28975i | −0.383102 | + | 0.118171i | ||||
\(776\) | −13.7453 | − | 17.2360i | −0.493427 | − | 0.618738i | ||||
\(777\) | 4.89820 | + | 6.90088i | 0.175722 | + | 0.247568i | ||||
\(778\) | −11.4614 | + | 14.3721i | −0.410910 | + | 0.515265i | ||||
\(779\) | −0.406389 | + | 1.03546i | −0.0145604 | + | 0.0370993i | ||||
\(780\) | −0.0341448 | + | 0.455631i | −0.00122258 | + | 0.0163142i | ||||
\(781\) | −9.44460 | + | 1.42354i | −0.337954 | + | 0.0509384i | ||||
\(782\) | −10.7161 | + | 9.94310i | −0.383207 | + | 0.355564i | ||||
\(783\) | 24.6183 | 0.879787 | ||||||||
\(784\) | 21.9977 | − | 16.2466i | 0.785632 | − | 0.580237i | ||||
\(785\) | 55.3282 | 1.97475 | ||||||||
\(786\) | 9.74823 | − | 9.04503i | 0.347708 | − | 0.322626i | ||||
\(787\) | −34.9249 | + | 5.26408i | −1.24494 | + | 0.187644i | −0.738275 | − | 0.674500i | \(-0.764359\pi\) |
−0.506664 | + | 0.862144i | \(0.669121\pi\) | |||||||
\(788\) | 0.0784919 | − | 1.04740i | 0.00279616 | − | 0.0373121i | ||||
\(789\) | −6.65522 | + | 16.9572i | −0.236932 | + | 0.603693i | ||||
\(790\) | −36.7287 | + | 46.0563i | −1.30675 | + | 1.63861i | ||||
\(791\) | −4.74293 | − | 27.8860i | −0.168639 | − | 0.991514i | ||||
\(792\) | −8.56689 | − | 10.7425i | −0.304411 | − | 0.381719i | ||||
\(793\) | −8.17871 | + | 2.52280i | −0.290435 | + | 0.0895872i | ||||
\(794\) | −5.13208 | − | 13.0763i | −0.182131 | − | 0.464061i | ||||
\(795\) | −16.7607 | − | 5.17000i | −0.594442 | − | 0.183361i | ||||
\(796\) | −0.0551970 | − | 0.736553i | −0.00195641 | − | 0.0261064i | ||||
\(797\) | −10.7720 | − | 47.1953i | −0.381564 | − | 1.67174i | −0.692582 | − | 0.721339i | \(-0.743527\pi\) |
0.311018 | − | 0.950404i | \(-0.399330\pi\) | |||||||
\(798\) | −2.43191 | + | 0.603566i | −0.0860888 | + | 0.0213660i | ||||
\(799\) | −6.65592 | + | 29.1615i | −0.235470 | + | 1.03166i | ||||
\(800\) | −1.08958 | − | 0.164228i | −0.0385225 | − | 0.00580633i | ||||
\(801\) | −0.367259 | + | 0.250393i | −0.0129764 | + | 0.00884719i | ||||
\(802\) | 11.6481 | − | 20.1750i | 0.411308 | − | 0.712406i | ||||
\(803\) | 33.7309 | + | 58.4236i | 1.19034 | + | 2.06172i | ||||
\(804\) | 0.976829 | + | 0.470416i | 0.0344501 | + | 0.0165903i | ||||
\(805\) | 15.7471 | − | 24.0600i | 0.555013 | − | 0.848004i | ||||
\(806\) | −5.45874 | + | 2.62879i | −0.192276 | + | 0.0925952i | ||||
\(807\) | −29.2741 | − | 19.9587i | −1.03050 | − | 0.702580i | ||||
\(808\) | 1.72193 | + | 1.59772i | 0.0605775 | + | 0.0562077i | ||||
\(809\) | 23.5119 | + | 21.8159i | 0.826636 | + | 0.767006i | 0.975066 | − | 0.221917i | \(-0.0712314\pi\) |
−0.148430 | + | 0.988923i | \(0.547422\pi\) | |||||||
\(810\) | 38.4417 | + | 26.2091i | 1.35070 | + | 0.920895i | ||||
\(811\) | −21.7322 | + | 10.4657i | −0.763120 | + | 0.367499i | −0.774614 | − | 0.632435i | \(-0.782056\pi\) |
0.0114935 | + | 0.999934i | \(0.496341\pi\) | |||||||
\(812\) | −0.0945166 | + | 0.718874i | −0.00331688 | + | 0.0252275i | ||||
\(813\) | −0.0446283 | − | 0.0214919i | −0.00156518 | − | 0.000753753i | ||||
\(814\) | 5.79679 | + | 10.0403i | 0.203177 | + | 0.351914i | ||||
\(815\) | 3.53290 | − | 6.11916i | 0.123752 | − | 0.214345i | ||||
\(816\) | 18.7565 | − | 12.7880i | 0.656610 | − | 0.447669i | ||||
\(817\) | 1.56092 | + | 0.235270i | 0.0546095 | + | 0.00823106i | ||||
\(818\) | 3.01819 | − | 13.2236i | 0.105529 | − | 0.462351i | ||||
\(819\) | 3.25309 | + | 2.49530i | 0.113672 | + | 0.0871929i | ||||
\(820\) | 0.100651 | + | 0.440983i | 0.00351490 | + | 0.0153998i | ||||
\(821\) | −3.72987 | − | 49.7717i | −0.130173 | − | 1.73704i | −0.555073 | − | 0.831802i | \(-0.687310\pi\) |
0.424899 | − | 0.905241i | \(-0.360310\pi\) | |||||||
\(822\) | 46.8598 | + | 14.4543i | 1.63442 | + | 0.504153i | ||||
\(823\) | 4.28836 | + | 10.9266i | 0.149483 | + | 0.380876i | 0.985927 | − | 0.167176i | \(-0.0534648\pi\) |
−0.836444 | + | 0.548052i | \(0.815370\pi\) | |||||||
\(824\) | −3.50842 | + | 1.08221i | −0.122222 | + | 0.0377004i | ||||
\(825\) | 27.1662 | + | 34.0654i | 0.945806 | + | 1.18600i | ||||
\(826\) | 34.3868 | + | 1.92523i | 1.19647 | + | 0.0669874i | ||||
\(827\) | −2.42448 | + | 3.04021i | −0.0843075 | + | 0.105718i | −0.822196 | − | 0.569204i | \(-0.807251\pi\) |
0.737889 | + | 0.674922i | \(0.235823\pi\) | |||||||
\(828\) | 0.0555694 | − | 0.141588i | 0.00193117 | − | 0.00492054i | ||||
\(829\) | −0.731090 | + | 9.75572i | −0.0253918 | + | 0.338830i | 0.970012 | + | 0.243059i | \(0.0781508\pi\) |
−0.995403 | + | 0.0957714i | \(0.969468\pi\) | |||||||
\(830\) | −3.67906 | + | 0.554528i | −0.127702 | + | 0.0192480i | ||||
\(831\) | −8.72734 | + | 8.09779i | −0.302748 | + | 0.280909i | ||||
\(832\) | −13.5577 | −0.470030 | ||||||||
\(833\) | −3.80562 | + | 20.1508i | −0.131857 | + | 0.698185i | ||||
\(834\) | −27.1526 | −0.940217 | ||||||||
\(835\) | 27.0340 | − | 25.0838i | 0.935549 | − | 0.868062i | ||||
\(836\) | 0.0792189 | − | 0.0119403i | 0.00273984 | − | 0.000412965i | ||||
\(837\) | 0.800069 | − | 10.6762i | 0.0276544 | − | 0.369023i | ||||
\(838\) | 10.5534 | − | 26.8895i | 0.364560 | − | 0.928883i | ||||
\(839\) | −3.47047 | + | 4.35183i | −0.119814 | + | 0.150242i | −0.838121 | − | 0.545484i | \(-0.816346\pi\) |
0.718307 | + | 0.695726i | \(0.244917\pi\) | |||||||
\(840\) | −30.4439 | + | 34.0785i | −1.05042 | + | 1.17582i | ||||
\(841\) | 4.42667 | + | 5.55087i | 0.152644 | + | 0.191409i | ||||
\(842\) | 7.05374 | − | 2.17579i | 0.243088 | − | 0.0749827i | ||||
\(843\) | −17.1910 | − | 43.8020i | −0.592090 | − | 1.50862i | ||||
\(844\) | −0.859849 | − | 0.265228i | −0.0295972 | − | 0.00912953i | ||||
\(845\) | 2.33210 | + | 31.1197i | 0.0802268 | + | 1.07055i | ||||
\(846\) | 2.96743 | + | 13.0012i | 0.102022 | + | 0.446990i | ||||
\(847\) | 40.0102 | + | 8.34103i | 1.37477 | + | 0.286601i | ||||
\(848\) | 2.52467 | − | 11.0613i | 0.0866974 | − | 0.379846i | ||||
\(849\) | −40.4540 | − | 6.09746i | −1.38838 | − | 0.209264i | ||||
\(850\) | −14.4541 | + | 9.85463i | −0.495771 | + | 0.338011i | ||||
\(851\) | −2.87794 | + | 4.98473i | −0.0986544 | + | 0.170874i | ||||
\(852\) | 0.0840124 | + | 0.145514i | 0.00287822 | + | 0.00498522i | ||||
\(853\) | −41.8538 | − | 20.1557i | −1.43305 | − | 0.690119i | −0.453486 | − | 0.891263i | \(-0.649820\pi\) |
−0.979562 | + | 0.201144i | \(0.935534\pi\) | |||||||
\(854\) | −17.8955 | − | 6.63655i | −0.612370 | − | 0.227098i | ||||
\(855\) | 0.875381 | − | 0.421561i | 0.0299374 | − | 0.0144171i | ||||
\(856\) | −20.5596 | − | 14.0173i | −0.702714 | − | 0.479102i | ||||
\(857\) | −20.0940 | − | 18.6445i | −0.686398 | − | 0.636884i | 0.257825 | − | 0.966192i | \(-0.416994\pi\) |
−0.944223 | + | 0.329307i | \(0.893185\pi\) | |||||||
\(858\) | 17.3387 | + | 16.0880i | 0.591933 | + | 0.549234i | ||||
\(859\) | −7.90752 | − | 5.39126i | −0.269801 | − | 0.183947i | 0.420860 | − | 0.907125i | \(-0.361728\pi\) |
−0.690662 | + | 0.723178i | \(0.742681\pi\) | |||||||
\(860\) | 0.578326 | − | 0.278507i | 0.0197207 | − | 0.00949701i | ||||
\(861\) | 16.0252 | + | 5.94295i | 0.546136 | + | 0.202535i | ||||
\(862\) | 27.5776 | + | 13.2807i | 0.939297 | + | 0.452341i | ||||
\(863\) | −1.05265 | − | 1.82324i | −0.0358326 | − | 0.0620639i | 0.847553 | − | 0.530711i | \(-0.178075\pi\) |
−0.883386 | + | 0.468647i | \(0.844742\pi\) | |||||||
\(864\) | 0.528491 | − | 0.915374i | 0.0179796 | − | 0.0311417i | ||||
\(865\) | −7.29382 | + | 4.97285i | −0.247997 | + | 0.169082i | ||||
\(866\) | −46.0520 | − | 6.94122i | −1.56491 | − | 0.235872i | ||||
\(867\) | 3.71527 | − | 16.2777i | 0.126177 | − | 0.552818i | ||||
\(868\) | 0.308681 | + | 0.0643515i | 0.0104773 | + | 0.00218423i | ||||
\(869\) | −15.8365 | − | 69.3844i | −0.537218 | − | 2.35371i | ||||
\(870\) | 3.79105 | + | 50.5880i | 0.128529 | + | 1.71509i | ||||
\(871\) | −18.9941 | − | 5.85891i | −0.643591 | − | 0.198522i | ||||
\(872\) | 15.8768 | + | 40.4535i | 0.537658 | + | 1.36993i | ||||
\(873\) | 6.88227 | − | 2.12290i | 0.232930 | − | 0.0718493i | ||||
\(874\) | −1.06260 | − | 1.33245i | −0.0359428 | − | 0.0450709i | ||||
\(875\) | −3.91023 | + | 4.37705i | −0.132190 | + | 0.147971i | ||||
\(876\) | 0.739944 | − | 0.927861i | 0.0250004 | − | 0.0313495i | ||||
\(877\) | −4.59063 | + | 11.6967i | −0.155015 | + | 0.394971i | −0.987192 | − | 0.159539i | \(-0.948999\pi\) |
0.832177 | + | 0.554510i | \(0.187094\pi\) | |||||||
\(878\) | −1.94835 | + | 25.9989i | −0.0657536 | + | 0.877421i | ||||
\(879\) | 18.8335 | − | 2.83869i | 0.635237 | − | 0.0957466i | ||||
\(880\) | −44.8447 | + | 41.6098i | −1.51171 | + | 1.40267i | ||||
\(881\) | −7.94150 | −0.267556 | −0.133778 | − | 0.991011i | \(-0.542711\pi\) | ||||
−0.133778 | + | 0.991011i | \(0.542711\pi\) | |||||||
\(882\) | 2.36933 | + | 8.83039i | 0.0797794 | + | 0.297335i | ||||
\(883\) | −3.75050 | −0.126215 | −0.0631073 | − | 0.998007i | \(-0.520101\pi\) | ||||
−0.0631073 | + | 0.998007i | \(0.520101\pi\) | |||||||
\(884\) | 0.162466 | − | 0.150747i | 0.00546433 | − | 0.00507016i | ||||
\(885\) | −55.6090 | + | 8.38170i | −1.86927 | + | 0.281748i | ||||
\(886\) | −3.98213 | + | 53.1379i | −0.133782 | + | 1.78520i | ||||
\(887\) | 6.62764 | − | 16.8869i | 0.222534 | − | 0.567008i | −0.775385 | − | 0.631489i | \(-0.782444\pi\) |
0.997919 | + | 0.0644812i | \(0.0205392\pi\) | |||||||
\(888\) | 5.70308 | − | 7.15143i | 0.191383 | − | 0.239986i | ||||
\(889\) | 12.8760 | + | 0.720896i | 0.431848 | + | 0.0241781i | ||||
\(890\) | 1.26271 | + | 1.58338i | 0.0423260 | + | 0.0530752i | ||||
\(891\) | −53.7124 | + | 16.5681i | −1.79943 | + | 0.555052i | ||||
\(892\) | 0.139439 | + | 0.355285i | 0.00466877 | + | 0.0118958i | ||||
\(893\) | −3.33225 | − | 1.02786i | −0.111509 | − | 0.0343961i | ||||
\(894\) | 0.978180 | + | 13.0529i | 0.0327152 | + | 0.436555i | ||||
\(895\) | 5.22611 | + | 22.8971i | 0.174690 | + | 0.765365i | ||||
\(896\) | −22.9060 | − | 17.5702i | −0.765237 | − | 0.586979i | ||||
\(897\) | −2.61304 | + | 11.4485i | −0.0872469 | + | 0.382254i | ||||
\(898\) | 19.8235 | + | 2.98791i | 0.661519 | + | 0.0997080i | ||||
\(899\) | 12.9713 | − | 8.84370i | 0.432618 | − | 0.294954i | ||||
\(900\) | 0.0910101 | − | 0.157634i | 0.00303367 | − | 0.00525447i | ||||
\(901\) | 4.25401 | + | 7.36816i | 0.141722 | + | 0.245469i | ||||
\(902\) | 21.0965 | + | 10.1595i | 0.702437 | + | 0.338276i | ||||
\(903\) | 3.16178 | − | 24.0478i | 0.105217 | − | 0.800261i | ||||
\(904\) | −27.5466 | + | 13.2658i | −0.916188 | + | 0.441213i | ||||
\(905\) | 48.8718 | + | 33.3202i | 1.62455 | + | 1.10760i | ||||
\(906\) | −24.9136 | − | 23.1164i | −0.827698 | − | 0.767992i | ||||
\(907\) | −13.2897 | − | 12.3311i | −0.441278 | − | 0.409446i | 0.427993 | − | 0.903782i | \(-0.359221\pi\) |
−0.869271 | + | 0.494336i | \(0.835411\pi\) | |||||||
\(908\) | −0.994337 | − | 0.677927i | −0.0329982 | − | 0.0224978i | ||||
\(909\) | −0.691410 | + | 0.332965i | −0.0229326 | + | 0.0110438i | ||||
\(910\) | 10.2298 | − | 15.6300i | 0.339114 | − | 0.518131i | ||||
\(911\) | −9.12745 | − | 4.39555i | −0.302406 | − | 0.145631i | 0.276527 | − | 0.961006i | \(-0.410816\pi\) |
−0.578933 | + | 0.815375i | \(0.696531\pi\) | |||||||
\(912\) | 1.32328 | + | 2.29200i | 0.0438183 | + | 0.0758955i | ||||
\(913\) | 2.24749 | − | 3.89277i | 0.0743811 | − | 0.128832i | ||||
\(914\) | 20.3595 | − | 13.8809i | 0.673432 | − | 0.459138i | ||||
\(915\) | 30.8175 | + | 4.64499i | 1.01880 | + | 0.153559i | ||||
\(916\) | −0.0388227 | + | 0.170094i | −0.00128274 | + | 0.00562005i | ||||
\(917\) | 12.3147 | − | 3.05632i | 0.406666 | − | 0.100929i | ||||
\(918\) | −3.73411 | − | 16.3602i | −0.123244 | − | 0.539967i | ||||
\(919\) | 1.59100 | + | 21.2305i | 0.0524824 | + | 0.700329i | 0.959944 | + | 0.280193i | \(0.0903985\pi\) |
−0.907461 | + | 0.420136i | \(0.861982\pi\) | |||||||
\(920\) | −29.7001 | − | 9.16127i | −0.979184 | − | 0.302038i | ||||
\(921\) | 1.10904 | + | 2.82580i | 0.0365443 | + | 0.0931133i | ||||
\(922\) | 2.07420 | − | 0.639805i | 0.0683100 | − | 0.0210708i | ||||
\(923\) | −1.92066 | − | 2.40843i | −0.0632191 | − | 0.0792743i | ||||
\(924\) | −0.206402 | − | 1.21354i | −0.00679012 | − | 0.0399225i | ||||
\(925\) | −4.29461 | + | 5.38527i | −0.141206 | + | 0.177067i | ||||
\(926\) | −7.20361 | + | 18.3545i | −0.236725 | + | 0.603167i | ||||
\(927\) | 0.0896371 | − | 1.19612i | 0.00294407 | − | 0.0392858i | ||||
\(928\) | 1.53263 | − | 0.231007i | 0.0503110 | − | 0.00758316i | ||||
\(929\) | 34.0305 | − | 31.5757i | 1.11650 | − | 1.03597i | 0.117425 | − | 0.993082i | \(-0.462536\pi\) |
0.999080 | − | 0.0428834i | \(-0.0136544\pi\) | |||||||
\(930\) | 22.0616 | 0.723429 | ||||||||
\(931\) | −2.30953 | − | 0.617990i | −0.0756916 | − | 0.0202538i | ||||
\(932\) | 0.0201297 | 0.000659372 | ||||||||
\(933\) | 15.9053 | − | 14.7579i | 0.520715 | − | 0.483153i | ||||
\(934\) | 17.1192 | − | 2.58031i | 0.560159 | − | 0.0844303i | ||||
\(935\) | 3.42821 | − | 45.7462i | 0.112114 | − | 1.49606i | ||||
\(936\) | 1.61901 | − | 4.12518i | 0.0529191 | − | 0.134836i | ||||
\(937\) | −7.82128 | + | 9.80757i | −0.255510 | + | 0.320399i | −0.892998 | − | 0.450061i | \(-0.851402\pi\) |
0.637488 | + | 0.770460i | \(0.279974\pi\) | |||||||
\(938\) | −25.6564 | − | 36.1462i | −0.837710 | − | 1.18022i | ||||
\(939\) | 32.7088 | + | 41.0155i | 1.06741 | + | 1.33849i | ||||
\(940\) | −1.35501 | + | 0.417965i | −0.0441956 | + | 0.0136325i | ||||
\(941\) | 9.36589 | + | 23.8639i | 0.305319 | + | 0.777941i | 0.998371 | + | 0.0570533i | \(0.0181705\pi\) |
−0.693052 | + | 0.720888i | \(0.743734\pi\) | |||||||
\(942\) | −48.1475 | − | 14.8515i | −1.56873 | − | 0.483889i | ||||
\(943\) | 0.868741 | + | 11.5925i | 0.0282901 | + | 0.377505i | ||||
\(944\) | −8.09464 | − | 35.4649i | −0.263458 | − | 1.15429i | ||||
\(945\) | 14.8806 | + | 29.4643i | 0.484065 | + | 0.958473i | ||||
\(946\) | 7.39410 | − | 32.3957i | 0.240403 | − | 1.05327i | ||||
\(947\) | 37.9832 | + | 5.72504i | 1.23429 | + | 0.186039i | 0.733595 | − | 0.679587i | \(-0.237841\pi\) |
0.500692 | + | 0.865626i | \(0.333079\pi\) | |||||||
\(948\) | −1.03444 | + | 0.705272i | −0.0335972 | + | 0.0229062i | ||||
\(949\) | −10.8789 | + | 18.8429i | −0.353145 | + | 0.611665i | ||||
\(950\) | −1.01974 | − | 1.76625i | −0.0330849 | − | 0.0573047i | ||||
\(951\) | 30.3888 | + | 14.6345i | 0.985426 | + | 0.474556i | ||||
\(952\) | 22.0686 | − | 2.07324i | 0.715247 | − | 0.0671942i | ||||
\(953\) | −25.9101 | + | 12.4776i | −0.839311 | + | 0.404191i | −0.803599 | − | 0.595171i | \(-0.797084\pi\) |
−0.0357118 | + | 0.999362i | \(0.511370\pi\) | |||||||
\(954\) | 3.13406 | + | 2.13676i | 0.101469 | + | 0.0691803i | ||||
\(955\) | 4.36459 | + | 4.04974i | 0.141235 | + | 0.131047i | ||||
\(956\) | 0.211636 | + | 0.196370i | 0.00684480 | + | 0.00635105i | ||||
\(957\) | −50.6388 | − | 34.5249i | −1.63692 | − | 1.11603i | ||||
\(958\) | 46.6618 | − | 22.4711i | 1.50757 | − | 0.726010i | ||||
\(959\) | 32.4665 | + | 33.6925i | 1.04840 | + | 1.08799i | ||||
\(960\) | 44.4787 | + | 21.4198i | 1.43554 | + | 0.691321i | ||||
\(961\) | 12.0863 | + | 20.9341i | 0.389881 | + | 0.675294i | ||||
\(962\) | −1.86959 | + | 3.23822i | −0.0602779 | + | 0.104404i | ||||
\(963\) | 6.71675 | − | 4.57940i | 0.216444 | − | 0.147569i | ||||
\(964\) | 0.622978 | + | 0.0938988i | 0.0200648 | + | 0.00302428i | ||||
\(965\) | 2.39874 | − | 10.5096i | 0.0772182 | − | 0.338315i | ||||
\(966\) | −20.1618 | + | 16.7105i | −0.648694 | + | 0.537651i | ||||
\(967\) | −7.14644 | − | 31.3106i | −0.229814 | − | 1.00688i | −0.949791 | − | 0.312884i | \(-0.898705\pi\) |
0.719977 | − | 0.693997i | \(-0.244152\pi\) | |||||||
\(968\) | −3.30129 | − | 44.0527i | −0.106108 | − | 1.41591i | ||||
\(969\) | −1.89645 | − | 0.584978i | −0.0609228 | − | 0.0187922i | ||||
\(970\) | −11.9887 | − | 30.5468i | −0.384935 | − | 0.980799i | ||||
\(971\) | −49.5535 | + | 15.2852i | −1.59025 | + | 0.490526i | −0.958606 | − | 0.284735i | \(-0.908094\pi\) |
−0.631640 | + | 0.775262i | \(0.717618\pi\) | |||||||
\(972\) | 0.266961 | + | 0.334759i | 0.00856279 | + | 0.0107374i | ||||
\(973\) | −22.6768 | − | 12.5280i | −0.726986 | − | 0.401629i | ||||
\(974\) | 25.6443 | − | 32.1570i | 0.821697 | − | 1.03038i | ||||
\(975\) | −5.13401 | + | 13.0812i | −0.164420 | + | 0.418935i | ||||
\(976\) | −1.50652 | + | 20.1031i | −0.0482226 | + | 0.643485i | ||||
\(977\) | −4.94384 | + | 0.745164i | −0.158167 | + | 0.0238399i | −0.227649 | − | 0.973743i | \(-0.573104\pi\) |
0.0694812 | + | 0.997583i | \(0.477866\pi\) | |||||||
\(978\) | −4.71693 | + | 4.37667i | −0.150831 | + | 0.139951i | ||||
\(979\) | −2.44673 | −0.0781980 | ||||||||
\(980\) | −0.917510 | + | 0.321402i | −0.0293088 | + | 0.0102668i | ||||
\(981\) | −14.1974 | −0.453289 | ||||||||
\(982\) | 19.5990 | − | 18.1853i | 0.625431 | − | 0.580315i | ||||
\(983\) | 31.3557 | − | 4.72612i | 1.00009 | − | 0.150740i | 0.371466 | − | 0.928447i | \(-0.378855\pi\) |
0.628627 | + | 0.777707i | \(0.283617\pi\) | |||||||
\(984\) | 1.38057 | − | 18.4224i | 0.0440110 | − | 0.587286i | ||||
\(985\) | 25.6170 | − | 65.2711i | 0.816226 | − | 2.07971i | ||||
\(986\) | 15.3424 | − | 19.2387i | 0.488600 | − | 0.612686i | ||||
\(987\) | −14.8244 | + | 51.4898i | −0.471867 | + | 1.63894i | ||||
\(988\) | 0.0161100 | + | 0.0202012i | 0.000512526 | + | 0.000642687i | ||||
\(989\) | 15.7642 | − | 4.86261i | 0.501273 | − | 0.154622i | ||||
\(990\) | −7.47210 | − | 19.0386i | −0.237479 | − | 0.605087i | ||||
\(991\) | 12.9092 | + | 3.98196i | 0.410074 | + | 0.126491i | 0.492927 | − | 0.870071i | \(-0.335927\pi\) |
−0.0828529 | + | 0.996562i | \(0.526403\pi\) | |||||||
\(992\) | −0.0503714 | − | 0.672159i | −0.00159929 | − | 0.0213411i | ||||
\(993\) | −6.05666 | − | 26.5359i | −0.192202 | − | 0.842093i | ||||
\(994\) | −0.129624 | − | 6.86825i | −0.00411142 | − | 0.217848i | ||||
\(995\) | 10.9722 | − | 48.0722i | 0.347841 | − | 1.52399i | ||||
\(996\) | −0.0781919 | − | 0.0117855i | −0.00247761 | − | 0.000373439i | ||||
\(997\) | 27.7122 | − | 18.8939i | 0.877654 | − | 0.598375i | −0.0384739 | − | 0.999260i | \(-0.512250\pi\) |
0.916128 | + | 0.400885i | \(0.131297\pi\) | |||||||
\(998\) | 21.6616 | − | 37.5191i | 0.685687 | − | 1.18765i | ||||
\(999\) | −3.30366 | − | 5.72210i | −0.104523 | − | 0.181039i |
(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 | 49.2.g.a.11.2 | yes | 48 | |
3.2 | odd | 2 | 441.2.bb.d.109.3 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.305.3 | 48 | |||
7.2 | even | 3 | 343.2.g.i.128.3 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.246.2 | 48 | |||
7.4 | even | 3 | 343.2.e.d.246.2 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.128.3 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.312.2 | 48 | |||
49.3 | odd | 42 | 2401.2.a.i.1.19 | 24 | |||
49.9 | even | 21 | inner | 49.2.g.a.9.2 | ✓ | 48 | |
49.15 | even | 7 | 343.2.g.i.67.3 | 48 | |||
49.24 | odd | 42 | 343.2.e.c.99.2 | 48 | |||
49.25 | even | 21 | 343.2.e.d.99.2 | 48 | |||
49.34 | odd | 14 | 343.2.g.h.67.3 | 48 | |||
49.40 | odd | 42 | 343.2.g.g.177.2 | 48 | |||
49.46 | even | 21 | 2401.2.a.h.1.19 | 24 | |||
147.107 | odd | 42 | 441.2.bb.d.352.3 | 48 | |||
196.107 | odd | 42 | 784.2.bg.c.401.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.9.2 | ✓ | 48 | 49.9 | even | 21 | inner | |
49.2.g.a.11.2 | yes | 48 | 1.1 | even | 1 | trivial | |
343.2.e.c.99.2 | 48 | 49.24 | odd | 42 | |||
343.2.e.c.246.2 | 48 | 7.3 | odd | 6 | |||
343.2.e.d.99.2 | 48 | 49.25 | even | 21 | |||
343.2.e.d.246.2 | 48 | 7.4 | even | 3 | |||
343.2.g.g.177.2 | 48 | 49.40 | odd | 42 | |||
343.2.g.g.312.2 | 48 | 7.6 | odd | 2 | |||
343.2.g.h.67.3 | 48 | 49.34 | odd | 14 | |||
343.2.g.h.128.3 | 48 | 7.5 | odd | 6 | |||
343.2.g.i.67.3 | 48 | 49.15 | even | 7 | |||
343.2.g.i.128.3 | 48 | 7.2 | even | 3 | |||
441.2.bb.d.109.3 | 48 | 3.2 | odd | 2 | |||
441.2.bb.d.352.3 | 48 | 147.107 | odd | 42 | |||
784.2.bg.c.305.3 | 48 | 4.3 | odd | 2 | |||
784.2.bg.c.401.3 | 48 | 196.107 | odd | 42 | |||
2401.2.a.h.1.19 | 24 | 49.46 | even | 21 | |||
2401.2.a.i.1.19 | 24 | 49.3 | odd | 42 |