Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 676.6 | ||
Character | \(\chi\) | \(=\) | 729.676 |
Dual form | 729.2.g.b.55.6 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{10}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.588281 | + | 1.36379i | 0.415977 | + | 0.964344i | 0.989418 | + | 0.145096i | \(0.0463492\pi\) |
−0.573440 | + | 0.819247i | \(0.694392\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.141360 | + | 0.149832i | −0.0706798 | + | 0.0749162i | ||||
\(5\) | 0.0932044 | − | 1.60026i | 0.0416823 | − | 0.715657i | −0.911134 | − | 0.412110i | \(-0.864792\pi\) |
0.952816 | − | 0.303547i | \(-0.0981710\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.85061 | + | 0.438602i | −0.699465 | + | 0.165776i | −0.564937 | − | 0.825134i | \(-0.691100\pi\) |
−0.134527 | + | 0.990910i | \(0.542952\pi\) | |||||||
\(8\) | 2.50387 | + | 0.911335i | 0.885253 | + | 0.322206i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.23724 | − | 0.814290i | 0.707478 | − | 0.257501i | ||||
\(11\) | 3.38752 | − | 2.22800i | 1.02137 | − | 0.671769i | 0.0757828 | − | 0.997124i | \(-0.475854\pi\) |
0.945592 | + | 0.325356i | \(0.105484\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.67851 | − | 0.196189i | 0.465534 | − | 0.0544131i | 0.119907 | − | 0.992785i | \(-0.461740\pi\) |
0.345627 | + | 0.938372i | \(0.387666\pi\) | |||||||
\(14\) | −1.68684 | − | 2.26582i | −0.450826 | − | 0.605565i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.254067 | + | 4.36216i | 0.0635167 | + | 1.09054i | ||||
\(17\) | −4.14727 | − | 3.47997i | −1.00586 | − | 0.844017i | −0.0180743 | − | 0.999837i | \(-0.505754\pi\) |
−0.987785 | + | 0.155820i | \(0.950198\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.70167 | − | 3.10607i | 0.849220 | − | 0.712581i | −0.110397 | − | 0.993888i | \(-0.535212\pi\) |
0.959618 | + | 0.281307i | \(0.0907679\pi\) | |||||||
\(20\) | 0.226595 | + | 0.240177i | 0.0506682 | + | 0.0537052i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.03133 | + | 3.30916i | 1.07268 | + | 0.705515i | ||||
\(23\) | −0.651612 | − | 0.154435i | −0.135870 | − | 0.0322019i | 0.162118 | − | 0.986771i | \(-0.448168\pi\) |
−0.297988 | + | 0.954570i | \(0.596316\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.41405 | + | 0.282162i | 0.482811 | + | 0.0564325i | ||||
\(26\) | 1.25499 | + | 2.17371i | 0.246124 | + | 0.426300i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.195884 | − | 0.339282i | 0.0370187 | − | 0.0641182i | ||||
\(29\) | 2.85835 | − | 3.83943i | 0.530782 | − | 0.712965i | −0.453164 | − | 0.891427i | \(-0.649705\pi\) |
0.983947 | + | 0.178462i | \(0.0571123\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.39576 | + | 4.66216i | 0.250686 | + | 0.837349i | 0.987002 | + | 0.160711i | \(0.0513786\pi\) |
−0.736316 | + | 0.676638i | \(0.763436\pi\) | |||||||
\(32\) | −1.03731 | + | 0.520955i | −0.183372 | + | 0.0920927i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.30618 | − | 7.70319i | 0.395507 | − | 1.32109i | ||||
\(35\) | 0.529392 | + | 3.00233i | 0.0894836 | + | 0.507487i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.07926 | + | 11.7921i | −0.341829 | + | 1.93861i | 0.00314382 | + | 0.999995i | \(0.498999\pi\) |
−0.344973 | + | 0.938613i | \(0.612112\pi\) | |||||||
\(38\) | 6.41363 | + | 3.22105i | 1.04043 | + | 0.522523i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.69174 | − | 3.92190i | 0.267488 | − | 0.620107i | ||||
\(41\) | 4.00621 | − | 9.28743i | 0.625664 | − | 1.45045i | −0.250344 | − | 0.968157i | \(-0.580544\pi\) |
0.876009 | − | 0.482296i | \(-0.160197\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.64192 | + | 3.83792i | 1.16538 | + | 0.585277i | 0.922961 | − | 0.384895i | \(-0.125762\pi\) |
0.242421 | + | 0.970171i | \(0.422059\pi\) | |||||||
\(44\) | −0.145031 | + | 0.822509i | −0.0218642 | + | 0.123998i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.172714 | − | 0.979511i | −0.0254653 | − | 0.144421i | ||||
\(47\) | −0.0578400 | + | 0.193199i | −0.00843683 | + | 0.0281810i | −0.962104 | − | 0.272682i | \(-0.912089\pi\) |
0.953667 | + | 0.300863i | \(0.0972746\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.02305 | + | 1.51823i | −0.431864 | + | 0.216890i | ||||
\(50\) | 1.03533 | + | 3.45825i | 0.146418 | + | 0.489070i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.207877 | + | 0.279228i | −0.0288274 | + | 0.0387219i | ||||
\(53\) | −2.48138 | + | 4.29788i | −0.340844 | + | 0.590359i | −0.984590 | − | 0.174880i | \(-0.944046\pi\) |
0.643746 | + | 0.765240i | \(0.277379\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.24965 | − | 5.62856i | −0.438183 | − | 0.758955i | ||||
\(56\) | −5.03340 | − | 0.588321i | −0.672617 | − | 0.0786177i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.91768 | + | 1.63952i | 0.908336 | + | 0.215280i | ||||
\(59\) | −1.58520 | − | 1.04260i | −0.206375 | − | 0.135735i | 0.442114 | − | 0.896959i | \(-0.354229\pi\) |
−0.648489 | + | 0.761224i | \(0.724599\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.124028 | + | 0.131462i | 0.0158802 | + | 0.0168320i | 0.735265 | − | 0.677780i | \(-0.237058\pi\) |
−0.719385 | + | 0.694612i | \(0.755576\pi\) | |||||||
\(62\) | −5.53710 | + | 4.64618i | −0.703212 | + | 0.590065i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.37384 | + | 4.50919i | 0.671730 | + | 0.563648i | ||||
\(65\) | −0.157509 | − | 2.70433i | −0.0195366 | − | 0.335431i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.95826 | − | 10.6898i | −0.972256 | − | 1.30597i | −0.951976 | − | 0.306172i | \(-0.900952\pi\) |
−0.0202796 | − | 0.999794i | \(-0.506456\pi\) | |||||||
\(68\) | 1.10767 | − | 0.129468i | 0.134324 | − | 0.0157003i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.78311 | + | 2.48819i | −0.452168 | + | 0.297396i | ||||
\(71\) | −9.41216 | + | 3.42575i | −1.11702 | + | 0.406561i | −0.833563 | − | 0.552424i | \(-0.813703\pi\) |
−0.283455 | + | 0.958985i | \(0.591481\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −10.9327 | − | 3.97917i | −1.27957 | − | 0.465726i | −0.389282 | − | 0.921119i | \(-0.627277\pi\) |
−0.890291 | + | 0.455392i | \(0.849499\pi\) | |||||||
\(74\) | −17.3051 | + | 4.10138i | −2.01168 | + | 0.476776i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0578765 | + | 0.993701i | −0.00663889 | + | 0.113985i | ||||
\(77\) | −5.29176 | + | 5.60894i | −0.603052 | + | 0.639198i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.45390 | − | 3.37053i | −0.163577 | − | 0.379214i | 0.816638 | − | 0.577150i | \(-0.195835\pi\) |
−0.980215 | + | 0.197936i | \(0.936576\pi\) | |||||||
\(80\) | 7.00426 | 0.783100 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 15.0229 | 1.65900 | ||||||||
\(83\) | 2.17367 | + | 5.03914i | 0.238592 | + | 0.553117i | 0.994873 | − | 0.101129i | \(-0.0322454\pi\) |
−0.756282 | + | 0.654246i | \(0.772986\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.95539 | + | 6.31235i | −0.645953 | + | 0.684670i | ||||
\(86\) | −0.738510 | + | 12.6797i | −0.0796356 | + | 1.36729i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 10.5124 | − | 2.49148i | 1.12062 | − | 0.265592i | ||||
\(89\) | 6.65218 | + | 2.42120i | 0.705130 | + | 0.256646i | 0.669600 | − | 0.742722i | \(-0.266466\pi\) |
0.0355305 | + | 0.999369i | \(0.488688\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.02021 | + | 1.09927i | −0.316604 | + | 0.115234i | ||||
\(92\) | 0.115251 | − | 0.0758017i | 0.0120157 | − | 0.00790287i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.297508 | + | 0.0347738i | −0.0306857 | + | 0.00358664i | ||||
\(95\) | −4.62550 | − | 6.21312i | −0.474566 | − | 0.637453i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.0778051 | + | 1.33586i | 0.00789992 | + | 0.135636i | 0.999952 | + | 0.00980765i | \(0.00312192\pi\) |
−0.992052 | + | 0.125829i | \(0.959841\pi\) | |||||||
\(98\) | −3.84894 | − | 3.22965i | −0.388802 | − | 0.326244i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.383526 | + | 0.321817i | −0.0383526 | + | 0.0321817i | ||||
\(101\) | 3.40131 | + | 3.60518i | 0.338443 | + | 0.358729i | 0.874134 | − | 0.485686i | \(-0.161430\pi\) |
−0.535690 | + | 0.844415i | \(0.679949\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.90445 | + | 1.25258i | 0.187652 | + | 0.123420i | 0.639859 | − | 0.768493i | \(-0.278993\pi\) |
−0.452207 | + | 0.891913i | \(0.649363\pi\) | |||||||
\(104\) | 4.38156 | + | 1.03845i | 0.429648 | + | 0.101828i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.32115 | − | 0.855719i | −0.711092 | − | 0.0831148i | ||||
\(107\) | −2.21467 | − | 3.83593i | −0.214101 | − | 0.370833i | 0.738893 | − | 0.673822i | \(-0.235349\pi\) |
−0.952994 | + | 0.302989i | \(0.902015\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.21824 | + | 15.9665i | −0.882947 | + | 1.52931i | −0.0348978 | + | 0.999391i | \(0.511111\pi\) |
−0.848049 | + | 0.529918i | \(0.822223\pi\) | |||||||
\(110\) | 5.76445 | − | 7.74301i | 0.549619 | − | 0.738267i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.38343 | − | 7.96121i | −0.225213 | − | 0.752264i | ||||
\(113\) | −8.05934 | + | 4.04755i | −0.758159 | + | 0.380762i | −0.785498 | − | 0.618865i | \(-0.787593\pi\) |
0.0273390 | + | 0.999626i | \(0.491297\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.307869 | + | 1.02835i | −0.0287089 | + | 0.0958944i | ||||
\(116\) | 0.171216 | + | 0.971014i | 0.0158970 | + | 0.0901563i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.489346 | − | 2.77522i | 0.0450479 | − | 0.255479i | ||||
\(119\) | 9.20129 | + | 4.62106i | 0.843481 | + | 0.423612i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.15438 | − | 4.99442i | 0.195853 | − | 0.454038i | ||||
\(122\) | −0.106323 | + | 0.246485i | −0.00962604 | + | 0.0223157i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.895846 | − | 0.449911i | −0.0804493 | − | 0.0404032i | ||||
\(125\) | 2.06830 | − | 11.7299i | 0.184994 | − | 1.04915i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.304561 | − | 1.72725i | −0.0270254 | − | 0.153269i | 0.968309 | − | 0.249756i | \(-0.0803504\pi\) |
−0.995334 | + | 0.0964872i | \(0.969239\pi\) | |||||||
\(128\) | −3.65408 | + | 12.2055i | −0.322978 | + | 1.07882i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.59547 | − | 1.80571i | 0.315344 | − | 0.158372i | ||||
\(131\) | 2.05452 | + | 6.86256i | 0.179504 | + | 0.599585i | 0.999625 | + | 0.0273945i | \(0.00872103\pi\) |
−0.820121 | + | 0.572191i | \(0.806094\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.48801 | + | 7.37168i | −0.475871 | + | 0.639205i | ||||
\(134\) | 9.89692 | − | 17.1420i | 0.854964 | − | 1.48084i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.21281 | − | 12.4930i | −0.618493 | − | 1.07126i | ||||
\(137\) | −17.3549 | − | 2.02850i | −1.48273 | − | 0.173307i | −0.664109 | − | 0.747636i | \(-0.731189\pi\) |
−0.818624 | + | 0.574329i | \(0.805263\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −18.4877 | − | 4.38167i | −1.56811 | − | 0.371649i | −0.647478 | − | 0.762084i | \(-0.724176\pi\) |
−0.920630 | + | 0.390435i | \(0.872325\pi\) | |||||||
\(140\) | −0.524681 | − | 0.345088i | −0.0443436 | − | 0.0291653i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −10.2090 | − | 10.8209i | −0.856719 | − | 0.908069i | ||||
\(143\) | 5.24886 | − | 4.40431i | 0.438931 | − | 0.368307i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.87767 | − | 4.93195i | −0.488114 | − | 0.409576i | ||||
\(146\) | −1.00474 | − | 17.2507i | −0.0831528 | − | 1.42768i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.47291 | − | 1.97847i | −0.121073 | − | 0.162629i | ||||
\(149\) | 7.32320 | − | 0.855959i | 0.599940 | − | 0.0701229i | 0.189298 | − | 0.981920i | \(-0.439379\pi\) |
0.410642 | + | 0.911797i | \(0.365305\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.23139 | − | 1.46761i | 0.181588 | − | 0.119432i | −0.455461 | − | 0.890256i | \(-0.650525\pi\) |
0.637048 | + | 0.770824i | \(0.280155\pi\) | |||||||
\(152\) | 12.0992 | − | 4.40374i | 0.981372 | − | 0.357190i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −10.7624 | − | 3.91721i | −0.867262 | − | 0.315658i | ||||
\(155\) | 7.59075 | − | 1.79904i | 0.609704 | − | 0.144502i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.332250 | − | 5.70452i | 0.0265165 | − | 0.455270i | −0.958751 | − | 0.284248i | \(-0.908256\pi\) |
0.985267 | − | 0.171022i | \(-0.0547069\pi\) | |||||||
\(158\) | 3.74138 | − | 3.96563i | 0.297648 | − | 0.315489i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.736981 | + | 1.70851i | 0.0582635 | + | 0.135070i | ||||
\(161\) | 1.27361 | 0.100375 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 16.0381 | 1.25620 | 0.628100 | − | 0.778132i | \(-0.283833\pi\) | ||||
0.628100 | + | 0.778132i | \(0.283833\pi\) | |||||||
\(164\) | 0.825242 | + | 1.91313i | 0.0644406 | + | 0.149390i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.59359 | + | 5.92886i | −0.434147 | + | 0.460168i | ||||
\(167\) | 1.11336 | − | 19.1157i | 0.0861545 | − | 1.47922i | −0.627445 | − | 0.778661i | \(-0.715899\pi\) |
0.713599 | − | 0.700554i | \(-0.247064\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.87069 | + | 2.33940i | −0.759284 | + | 0.179954i | ||||
\(170\) | −12.1121 | − | 4.40846i | −0.928959 | − | 0.338113i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.65530 | + | 0.602480i | −0.126216 | + | 0.0459387i | ||||
\(173\) | −19.7483 | + | 12.9886i | −1.50143 | + | 0.987509i | −0.509539 | + | 0.860448i | \(0.670184\pi\) |
−0.991895 | + | 0.127061i | \(0.959446\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.59123 | + | 0.536637i | −0.347064 | + | 0.0405660i | ||||
\(176\) | 10.5796 | + | 14.2108i | 0.797464 | + | 1.07118i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.611352 | + | 10.4965i | 0.0458228 | + | 0.786747i | ||||
\(179\) | 3.43489 | + | 2.88222i | 0.256736 | + | 0.215427i | 0.762066 | − | 0.647499i | \(-0.224185\pi\) |
−0.505331 | + | 0.862926i | \(0.668629\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.92076 | − | 2.45081i | 0.217098 | − | 0.182167i | −0.527752 | − | 0.849398i | \(-0.676965\pi\) |
0.744851 | + | 0.667231i | \(0.232521\pi\) | |||||||
\(182\) | −3.27590 | − | 3.47225i | −0.242826 | − | 0.257380i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.49081 | − | 0.980522i | −0.109904 | − | 0.0722850i | ||||
\(185\) | 18.6766 | + | 4.42643i | 1.37313 | + | 0.325438i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −21.8023 | − | 2.54833i | −1.59434 | − | 0.186352i | ||||
\(188\) | −0.0207712 | − | 0.0359768i | −0.00151490 | − | 0.00262388i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.75229 | − | 9.96325i | 0.417315 | − | 0.722810i | ||||
\(191\) | 10.9862 | − | 14.7571i | 0.794936 | − | 1.06778i | −0.201165 | − | 0.979557i | \(-0.564473\pi\) |
0.996100 | − | 0.0882265i | \(-0.0281199\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.71004 | + | 15.7326i | 0.339036 | + | 1.13246i | 0.942259 | + | 0.334886i | \(0.108698\pi\) |
−0.603223 | + | 0.797573i | \(0.706117\pi\) | |||||||
\(194\) | −1.77606 | + | 0.891972i | −0.127514 | + | 0.0640398i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.199856 | − | 0.667566i | 0.0142754 | − | 0.0476833i | ||||
\(197\) | 3.25113 | + | 18.4381i | 0.231633 | + | 1.31366i | 0.849589 | + | 0.527445i | \(0.176850\pi\) |
−0.617956 | + | 0.786213i | \(0.712039\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.155470 | − | 0.881713i | 0.0110210 | − | 0.0625029i | −0.978801 | − | 0.204812i | \(-0.934342\pi\) |
0.989822 | + | 0.142309i | \(0.0454527\pi\) | |||||||
\(200\) | 5.78734 | + | 2.90651i | 0.409227 | + | 0.205521i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.91577 | + | 6.75953i | −0.205153 | + | 0.475599i | ||||
\(203\) | −3.60571 | + | 8.35897i | −0.253071 | + | 0.586685i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.4889 | − | 7.27659i | −1.01195 | − | 0.508219i | ||||
\(206\) | −0.587899 | + | 3.33414i | −0.0409609 | + | 0.232301i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.28226 | + | 7.27206i | 0.0889088 | + | 0.504227i | ||||
\(209\) | 5.61912 | − | 18.7692i | 0.388683 | − | 1.29829i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.3695 | − | 6.71439i | 0.920391 | − | 0.462238i | 0.0754817 | − | 0.997147i | \(-0.475951\pi\) |
0.844909 | + | 0.534909i | \(0.179654\pi\) | |||||||
\(212\) | −0.293194 | − | 0.979338i | −0.0201367 | − | 0.0672612i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.92854 | − | 5.27695i | 0.268550 | − | 0.360725i | ||||
\(215\) | 6.85392 | − | 11.8713i | 0.467433 | − | 0.809618i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.62784 | − | 8.01565i | −0.314158 | − | 0.544138i | ||||
\(218\) | −27.1978 | − | 3.17896i | −1.84206 | − | 0.215306i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.30271 | + | 0.308748i | 0.0878286 | + | 0.0208158i | ||||
\(221\) | −7.64395 | − | 5.02750i | −0.514188 | − | 0.338186i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.25530 | + | 4.51035i | 0.284956 | + | 0.302036i | 0.854002 | − | 0.520270i | \(-0.174169\pi\) |
−0.569046 | + | 0.822306i | \(0.692687\pi\) | |||||||
\(224\) | 1.69116 | − | 1.41905i | 0.112995 | − | 0.0948142i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.2612 | − | 8.61013i | −0.682562 | − | 0.572737i | ||||
\(227\) | 0.830506 | + | 14.2592i | 0.0551226 | + | 0.946419i | 0.906590 | + | 0.422012i | \(0.138676\pi\) |
−0.851468 | + | 0.524407i | \(0.824287\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.6644 | + | 15.6680i | 0.770804 | + | 1.03537i | 0.998104 | + | 0.0615447i | \(0.0196027\pi\) |
−0.227300 | + | 0.973825i | \(0.572990\pi\) | |||||||
\(230\) | −1.58357 | + | 0.185093i | −0.104417 | + | 0.0122046i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 10.6560 | − | 7.00853i | 0.699598 | − | 0.460133i | ||||
\(233\) | −8.91628 | + | 3.24526i | −0.584125 | + | 0.212604i | −0.617143 | − | 0.786851i | \(-0.711710\pi\) |
0.0330187 | + | 0.999455i | \(0.489488\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.303777 | + | 0.110566i | 0.0198162 | + | 0.00721252i | ||||
\(236\) | 0.380298 | − | 0.0901324i | 0.0247553 | − | 0.00586712i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.889207 | + | 15.2671i | −0.0576387 | + | 0.989619i | ||||
\(239\) | 7.55122 | − | 8.00383i | 0.488448 | − | 0.517725i | −0.435528 | − | 0.900175i | \(-0.643438\pi\) |
0.923976 | + | 0.382451i | \(0.124920\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.867612 | − | 2.01135i | −0.0558878 | − | 0.129562i | 0.887984 | − | 0.459874i | \(-0.152105\pi\) |
−0.943872 | + | 0.330312i | \(0.892846\pi\) | |||||||
\(242\) | 8.07871 | 0.519319 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.0372298 | −0.00238340 | ||||||||
\(245\) | 2.14780 | + | 4.97916i | 0.137218 | + | 0.318107i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.60389 | − | 5.93978i | 0.356567 | − | 0.377939i | ||||
\(248\) | −0.753987 | + | 12.9455i | −0.0478782 | + | 0.822038i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 17.2138 | − | 4.07975i | 1.08870 | − | 0.258026i | ||||
\(251\) | −6.59388 | − | 2.39998i | −0.416202 | − | 0.151485i | 0.125427 | − | 0.992103i | \(-0.459970\pi\) |
−0.541629 | + | 0.840618i | \(0.682192\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.55143 | + | 0.928643i | −0.160407 | + | 0.0583833i | ||||
\(254\) | 2.17644 | − | 1.43147i | 0.136562 | − | 0.0898181i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.86005 | + | 0.568059i | −0.303753 | + | 0.0355037i | ||||
\(257\) | 0.279271 | + | 0.375126i | 0.0174205 | + | 0.0233997i | 0.810748 | − | 0.585395i | \(-0.199061\pi\) |
−0.793328 | + | 0.608795i | \(0.791653\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.32414 | − | 22.7345i | −0.0822778 | − | 1.41265i | ||||
\(260\) | 0.427461 | + | 0.358683i | 0.0265100 | + | 0.0222446i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.15045 | + | 6.83904i | −0.503536 | + | 0.422517i | ||||
\(263\) | 13.0974 | + | 13.8824i | 0.807621 | + | 0.856028i | 0.991923 | − | 0.126842i | \(-0.0404841\pi\) |
−0.184302 | + | 0.982870i | \(0.559003\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.64644 | + | 4.37143i | 0.408288 | + | 0.268535i | ||||
\(266\) | −13.2819 | − | 3.14787i | −0.814365 | − | 0.193008i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.72665 | + | 0.318700i | 0.166557 | + | 0.0194677i | ||||
\(269\) | 2.12061 | + | 3.67300i | 0.129296 | + | 0.223947i | 0.923404 | − | 0.383830i | \(-0.125395\pi\) |
−0.794108 | + | 0.607776i | \(0.792062\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.83162 | + | 6.63656i | −0.232754 | + | 0.403142i | −0.958618 | − | 0.284697i | \(-0.908107\pi\) |
0.725863 | + | 0.687839i | \(0.241440\pi\) | |||||||
\(272\) | 14.1265 | − | 18.9752i | 0.856544 | − | 1.15054i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.44313 | − | 24.8618i | −0.449656 | − | 1.50196i | ||||
\(275\) | 8.80630 | − | 4.42269i | 0.531040 | − | 0.266698i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.25476 | + | 14.2119i | −0.255644 | + | 0.853909i | 0.729764 | + | 0.683699i | \(0.239630\pi\) |
−0.985408 | + | 0.170210i | \(0.945555\pi\) | |||||||
\(278\) | −4.90030 | − | 27.7910i | −0.293901 | − | 1.66679i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.41060 | + | 7.99991i | −0.0842995 | + | 0.478086i | ||||
\(281\) | −0.994631 | − | 0.499522i | −0.0593347 | − | 0.0297990i | 0.418884 | − | 0.908040i | \(-0.362421\pi\) |
−0.478219 | + | 0.878241i | \(0.658718\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.61783 | + | 6.06882i | −0.155614 | + | 0.360754i | −0.978132 | − | 0.207985i | \(-0.933309\pi\) |
0.822518 | + | 0.568739i | \(0.192569\pi\) | |||||||
\(284\) | 0.817211 | − | 1.89451i | 0.0484926 | − | 0.112418i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.09435 | + | 4.56735i | 0.537760 | + | 0.270073i | ||||
\(287\) | −3.34043 | + | 18.9445i | −0.197179 | + | 1.11826i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.13761 | + | 12.1230i | 0.125742 | + | 0.713117i | ||||
\(290\) | 3.26841 | − | 10.9173i | 0.191928 | − | 0.641084i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.14165 | − | 1.07557i | 0.125330 | − | 0.0629432i | ||||
\(293\) | 0.892759 | + | 2.98202i | 0.0521555 | + | 0.174212i | 0.980099 | − | 0.198509i | \(-0.0636100\pi\) |
−0.927943 | + | 0.372721i | \(0.878425\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.81618 | + | 2.43955i | −0.105742 | + | 0.142036i | ||||
\(296\) | −15.9528 | + | 27.6310i | −0.927235 | + | 1.60602i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.47544 | + | 9.48374i | 0.317184 | + | 0.549379i | ||||
\(299\) | −1.12403 | − | 0.131381i | −0.0650045 | − | 0.00759794i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −15.8255 | − | 3.75072i | −0.912168 | − | 0.216188i | ||||
\(302\) | 3.31418 | + | 2.17977i | 0.190710 | + | 0.125432i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 14.4896 | + | 15.3581i | 0.831037 | + | 0.880848i | ||||
\(305\) | 0.221933 | − | 0.186224i | 0.0127079 | − | 0.0106632i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.76257 | − | 4.83537i | −0.328887 | − | 0.275969i | 0.463359 | − | 0.886171i | \(-0.346644\pi\) |
−0.792246 | + | 0.610202i | \(0.791088\pi\) | |||||||
\(308\) | −0.0923596 | − | 1.58575i | −0.00526268 | − | 0.0903567i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 6.91900 | + | 9.29383i | 0.392973 | + | 0.527854i | ||||
\(311\) | −15.2831 | + | 1.78634i | −0.866628 | + | 0.101294i | −0.537777 | − | 0.843087i | \(-0.680736\pi\) |
−0.328851 | + | 0.944382i | \(0.606662\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.31693 | − | 2.18158i | 0.187484 | − | 0.123310i | −0.452297 | − | 0.891867i | \(-0.649395\pi\) |
0.639781 | + | 0.768557i | \(0.279025\pi\) | |||||||
\(314\) | 7.97521 | − | 2.90274i | 0.450067 | − | 0.163811i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.710537 | + | 0.258614i | 0.0399708 | + | 0.0145482i | ||||
\(317\) | −8.34397 | + | 1.97756i | −0.468644 | + | 0.111071i | −0.458151 | − | 0.888874i | \(-0.651488\pi\) |
−0.0104930 | + | 0.999945i | \(0.503340\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.12844 | − | 19.3746i | 0.0631805 | − | 1.08477i | ||||
\(320\) | 7.71673 | − | 8.17925i | 0.431378 | − | 0.457234i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.749242 | + | 1.73694i | 0.0417536 | + | 0.0967958i | ||||
\(323\) | −26.1608 | −1.45563 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.10736 | 0.227835 | ||||||||
\(326\) | 9.43490 | + | 21.8726i | 0.522551 | + | 1.21141i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 18.4950 | − | 19.6035i | 1.02121 | − | 1.08242i | ||||
\(329\) | 0.0223016 | − | 0.382905i | 0.00122953 | − | 0.0211102i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.07927 | + | 2.15183i | −0.499042 | + | 0.118275i | −0.472425 | − | 0.881371i | \(-0.656621\pi\) |
−0.0266164 | + | 0.999646i | \(0.508473\pi\) | |||||||
\(332\) | −1.06230 | − | 0.386644i | −0.0583010 | − | 0.0212198i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 26.7247 | − | 9.72699i | 1.46231 | − | 0.532237i | ||||
\(335\) | −17.8482 | + | 11.7389i | −0.975150 | + | 0.641366i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.37776 | + | 0.511687i | −0.238472 | + | 0.0278734i | −0.234489 | − | 0.972119i | \(-0.575342\pi\) |
−0.00398267 | + | 0.999992i | \(0.501268\pi\) | |||||||
\(338\) | −8.99717 | − | 12.0853i | −0.489382 | − | 0.657354i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.103942 | − | 1.78462i | −0.00563706 | − | 0.0967847i | ||||
\(341\) | 15.1155 | + | 12.6834i | 0.818548 | + | 0.686844i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.1270 | − | 12.6931i | 0.816782 | − | 0.685362i | ||||
\(344\) | 15.6368 | + | 16.5740i | 0.843078 | + | 0.893610i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −29.3313 | − | 19.2915i | −1.57686 | − | 1.03712i | ||||
\(347\) | −19.4982 | − | 4.62117i | −1.04672 | − | 0.248077i | −0.328943 | − | 0.944350i | \(-0.606692\pi\) |
−0.717777 | + | 0.696273i | \(0.754840\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 33.4202 | + | 3.90626i | 1.78894 | + | 0.209097i | 0.944939 | − | 0.327245i | \(-0.106120\pi\) |
0.844001 | + | 0.536342i | \(0.180194\pi\) | |||||||
\(350\) | −3.43279 | − | 5.94576i | −0.183490 | − | 0.317814i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.35320 | + | 4.07587i | −0.125426 | + | 0.217244i | ||||
\(353\) | −4.81620 | + | 6.46927i | −0.256340 | + | 0.344325i | −0.911600 | − | 0.411079i | \(-0.865152\pi\) |
0.655259 | + | 0.755404i | \(0.272559\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.60483 | + | 15.3812i | 0.244399 | + | 0.816349i | ||||
\(356\) | −1.30312 | + | 0.654453i | −0.0690654 | + | 0.0346859i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.91005 | + | 6.38002i | −0.100949 | + | 0.337194i | ||||
\(359\) | 2.83469 | + | 16.0764i | 0.149609 | + | 0.848477i | 0.963550 | + | 0.267529i | \(0.0862071\pi\) |
−0.813940 | + | 0.580948i | \(0.802682\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.755367 | − | 4.28390i | 0.0397562 | − | 0.225468i | ||||
\(362\) | 5.06061 | + | 2.54153i | 0.265980 | + | 0.133580i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.262230 | − | 0.607917i | 0.0137446 | − | 0.0318635i | ||||
\(365\) | −7.38667 | + | 17.1242i | −0.386636 | + | 0.896323i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.7615 | + | 5.90686i | 0.613947 | + | 0.308336i | 0.728462 | − | 0.685086i | \(-0.240235\pi\) |
−0.114516 | + | 0.993421i | \(0.536532\pi\) | |||||||
\(368\) | 0.508116 | − | 2.88167i | 0.0264874 | − | 0.150217i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.95036 | + | 28.0749i | 0.257357 | + | 1.45954i | ||||
\(371\) | 2.70701 | − | 9.04204i | 0.140541 | − | 0.469439i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.194504 | − | 0.0976835i | 0.0100710 | − | 0.00505786i | −0.443757 | − | 0.896147i | \(-0.646354\pi\) |
0.453828 | + | 0.891090i | \(0.350058\pi\) | |||||||
\(374\) | −9.35050 | − | 31.2329i | −0.483503 | − | 1.61501i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.320893 | + | 0.431034i | −0.0165488 | + | 0.0222289i | ||||
\(377\) | 4.04451 | − | 7.00529i | 0.208303 | − | 0.360791i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.0931 | + | 20.9458i | 0.621180 | + | 1.07592i | 0.989266 | + | 0.146124i | \(0.0466797\pi\) |
−0.368086 | + | 0.929792i | \(0.619987\pi\) | |||||||
\(380\) | 1.58478 | + | 0.185235i | 0.0812977 | + | 0.00950234i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 26.5885 | + | 6.30159i | 1.36039 | + | 0.322417i | ||||
\(383\) | −7.06738 | − | 4.64829i | −0.361126 | − | 0.237516i | 0.355960 | − | 0.934501i | \(-0.384154\pi\) |
−0.717086 | + | 0.696985i | \(0.754524\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 8.48253 | + | 8.99096i | 0.432310 | + | 0.458222i | ||||
\(386\) | −18.6851 | + | 15.6787i | −0.951048 | + | 0.798024i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.211154 | − | 0.177179i | −0.0107197 | − | 0.00899491i | ||||
\(389\) | −1.46030 | − | 25.0723i | −0.0740400 | − | 1.27122i | −0.806839 | − | 0.590772i | \(-0.798823\pi\) |
0.732799 | − | 0.680446i | \(-0.238214\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.16498 | + | 2.90807i | 0.109488 | + | 0.147067i | ||||
\(392\) | −8.95294 | + | 1.04645i | −0.452192 | + | 0.0528536i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −23.2330 | + | 15.2806i | −1.17046 | + | 0.769826i | ||||
\(395\) | −5.52922 | + | 2.01247i | −0.278205 | + | 0.101258i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 23.8173 | + | 8.66880i | 1.19536 | + | 0.435074i | 0.861602 | − | 0.507585i | \(-0.169462\pi\) |
0.333756 | + | 0.942660i | \(0.391684\pi\) | |||||||
\(398\) | 1.29393 | − | 0.306667i | 0.0648588 | − | 0.0153718i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.617506 | + | 10.6022i | −0.0308753 | + | 0.530108i | ||||
\(401\) | −16.2900 | + | 17.2664i | −0.813483 | + | 0.862242i | −0.992580 | − | 0.121589i | \(-0.961201\pi\) |
0.179097 | + | 0.983831i | \(0.442682\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.25746 | + | 7.55163i | 0.162265 | + | 0.376174i | ||||
\(404\) | −1.02098 | −0.0507957 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −13.5210 | −0.671037 | ||||||||
\(407\) | 19.2293 | + | 44.5785i | 0.953160 | + | 2.20967i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.44213 | + | 6.82826i | −0.318543 | + | 0.337636i | −0.866783 | − | 0.498685i | \(-0.833816\pi\) |
0.548240 | + | 0.836321i | \(0.315298\pi\) | |||||||
\(410\) | 1.40020 | − | 24.0404i | 0.0691508 | − | 1.18727i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.456890 | + | 0.108285i | −0.0225093 | + | 0.00533481i | ||||
\(413\) | 3.39087 | + | 1.23418i | 0.166854 | + | 0.0607298i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.26652 | − | 3.00877i | 0.405787 | − | 0.147695i | ||||
\(416\) | −1.63892 | + | 1.07794i | −0.0803547 | + | 0.0528501i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 28.9028 | − | 3.37825i | 1.41368 | − | 0.165236i | ||||
\(419\) | 7.01065 | + | 9.41694i | 0.342493 | + | 0.460048i | 0.939680 | − | 0.342054i | \(-0.111123\pi\) |
−0.597187 | + | 0.802102i | \(0.703715\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.393410 | − | 6.75459i | −0.0191736 | − | 0.329199i | −0.994232 | − | 0.107250i | \(-0.965795\pi\) |
0.975058 | − | 0.221948i | \(-0.0712416\pi\) | |||||||
\(422\) | 17.0220 | + | 14.2831i | 0.828618 | + | 0.695293i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −10.1299 | + | 8.49998i | −0.491950 | + | 0.412795i | ||||
\(425\) | −9.02980 | − | 9.57103i | −0.438010 | − | 0.464263i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.287187 | − | 0.188886i | −0.0138980 | − | 0.00914083i | ||||
\(428\) | 0.887812 | + | 0.210415i | 0.0429140 | + | 0.0101708i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 20.2220 | + | 2.36361i | 0.975191 | + | 0.113984i | ||||
\(431\) | −3.90563 | − | 6.76475i | −0.188128 | − | 0.325846i | 0.756498 | − | 0.653996i | \(-0.226908\pi\) |
−0.944626 | + | 0.328149i | \(0.893575\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.20878 | + | 3.82573i | −0.106147 | + | 0.183853i | −0.914206 | − | 0.405249i | \(-0.867185\pi\) |
0.808059 | + | 0.589102i | \(0.200518\pi\) | |||||||
\(434\) | 8.20918 | − | 11.0268i | 0.394053 | − | 0.529305i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.08921 | − | 3.63820i | −0.0521635 | − | 0.174238i | ||||
\(437\) | −2.89173 | + | 1.45228i | −0.138330 | + | 0.0694721i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.31161 | − | 14.4018i | 0.205782 | − | 0.687360i | −0.791328 | − | 0.611392i | \(-0.790610\pi\) |
0.997110 | − | 0.0759684i | \(-0.0242048\pi\) | |||||||
\(440\) | −3.00721 | − | 17.0547i | −0.143363 | − | 0.813052i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.35966 | − | 13.3823i | 0.112238 | − | 0.636531i | ||||
\(443\) | −10.1485 | − | 5.09675i | −0.482168 | − | 0.242154i | 0.191075 | − | 0.981576i | \(-0.438803\pi\) |
−0.673243 | + | 0.739422i | \(0.735099\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.49455 | − | 10.4195i | 0.213062 | − | 0.493934i | ||||
\(446\) | −3.64786 | + | 8.45668i | −0.172731 | + | 0.400435i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −11.9226 | − | 5.98776i | −0.563291 | − | 0.282895i | ||||
\(449\) | 1.16004 | − | 6.57891i | 0.0547457 | − | 0.310478i | −0.945122 | − | 0.326716i | \(-0.894058\pi\) |
0.999868 | + | 0.0162381i | \(0.00516898\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.12134 | − | 40.3871i | −0.335331 | − | 1.90176i | ||||
\(452\) | 0.532810 | − | 1.77971i | 0.0250613 | − | 0.0837105i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −18.9580 | + | 9.52106i | −0.889743 | + | 0.446846i | ||||
\(455\) | 1.47761 | + | 4.93557i | 0.0692716 | + | 0.231383i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.17351 | − | 9.63570i | 0.335563 | − | 0.450739i | −0.602030 | − | 0.798473i | \(-0.705641\pi\) |
0.937593 | + | 0.347734i | \(0.113049\pi\) | |||||||
\(458\) | −14.5059 | + | 25.1249i | −0.677815 | + | 1.17401i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.110560 | − | 0.191496i | −0.00515490 | − | 0.00892855i | ||||
\(461\) | 6.95142 | + | 0.812504i | 0.323760 | + | 0.0378421i | 0.276421 | − | 0.961037i | \(-0.410852\pi\) |
0.0473393 | + | 0.998879i | \(0.484926\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.2778 | + | 6.46495i | 1.26771 | + | 0.300452i | 0.808827 | − | 0.588047i | \(-0.200103\pi\) |
0.458879 | + | 0.888499i | \(0.348251\pi\) | |||||||
\(464\) | 17.4744 | + | 11.4931i | 0.811229 | + | 0.533554i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.67112 | − | 10.2508i | −0.448006 | − | 0.474858i | ||||
\(467\) | 10.9662 | − | 9.20178i | 0.507458 | − | 0.425807i | −0.352776 | − | 0.935708i | \(-0.614762\pi\) |
0.860233 | + | 0.509900i | \(0.170318\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 19.4162 | + | 16.2921i | 0.896557 | + | 0.752300i | ||||
\(470\) | 0.0279179 | + | 0.479331i | 0.00128776 | + | 0.0221099i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.01898 | − | 4.05519i | −0.138960 | − | 0.186655i | ||||
\(473\) | 34.4380 | − | 4.02523i | 1.58346 | − | 0.185080i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.81243 | − | 6.45374i | 0.450225 | − | 0.296118i | ||||
\(476\) | −1.99307 | + | 0.725420i | −0.0913524 | + | 0.0332496i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 15.3578 | + | 5.58977i | 0.702448 | + | 0.255670i | ||||
\(479\) | 21.8904 | − | 5.18813i | 1.00020 | − | 0.237052i | 0.302273 | − | 0.953221i | \(-0.402255\pi\) |
0.697926 | + | 0.716170i | \(0.254106\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.17658 | + | 20.2010i | −0.0536473 | + | 0.921088i | ||||
\(482\) | 2.23266 | − | 2.36648i | 0.101695 | − | 0.107790i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.443783 | + | 1.02881i | 0.0201720 | + | 0.0467639i | ||||
\(485\) | 2.14498 | 0.0973984 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −41.7203 | −1.89053 | −0.945264 | − | 0.326307i | \(-0.894196\pi\) | ||||
−0.945264 | + | 0.326307i | \(0.894196\pi\) | |||||||
\(488\) | 0.190745 | + | 0.442196i | 0.00863460 | + | 0.0200173i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.52701 | + | 5.85829i | −0.249685 | + | 0.264650i | ||||
\(491\) | −0.643607 | + | 11.0503i | −0.0290456 | + | 0.498694i | 0.952144 | + | 0.305649i | \(0.0988733\pi\) |
−0.981190 | + | 0.193045i | \(0.938164\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −25.2154 | + | 5.97617i | −1.13565 | + | 0.269153i | ||||
\(494\) | 11.3973 | + | 4.14826i | 0.512787 | + | 0.186639i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −19.9825 | + | 7.27302i | −0.897239 | + | 0.326568i | ||||
\(497\) | 15.9157 | − | 10.4679i | 0.713917 | − | 0.469550i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.76171 | + | 0.907214i | −0.347462 | + | 0.0406125i | −0.288034 | − | 0.957620i | \(-0.593002\pi\) |
−0.0594278 | + | 0.998233i | \(0.518928\pi\) | |||||||
\(500\) | 1.46514 | + | 1.96803i | 0.0655232 | + | 0.0880130i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.605994 | − | 10.4045i | −0.0270468 | − | 0.464376i | ||||
\(503\) | −18.1547 | − | 15.2336i | −0.809478 | − | 0.679233i | 0.141005 | − | 0.990009i | \(-0.454967\pi\) |
−0.950483 | + | 0.310776i | \(0.899411\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.08624 | − | 5.10696i | 0.270834 | − | 0.227257i | ||||
\(506\) | −2.76743 | − | 2.93330i | −0.123027 | − | 0.130401i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.301851 | + | 0.198530i | 0.0133925 | + | 0.00880836i | ||||
\(509\) | −12.1281 | − | 2.87442i | −0.537570 | − | 0.127406i | −0.0471419 | − | 0.998888i | \(-0.515011\pi\) |
−0.490428 | + | 0.871482i | \(0.663159\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 21.9774 | + | 2.56879i | 0.972222 | + | 0.113636i | ||||
\(512\) | 9.10692 | + | 15.7736i | 0.402473 | + | 0.697103i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.347303 | + | 0.601546i | −0.0153189 | + | 0.0265331i | ||||
\(515\) | 2.18195 | − | 2.93087i | 0.0961484 | − | 0.129150i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.234514 | + | 0.783332i | 0.0103139 | + | 0.0344509i | ||||
\(518\) | 30.2261 | − | 15.1801i | 1.32806 | − | 0.666976i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.07017 | − | 6.91484i | 0.0907829 | − | 0.303236i | ||||
\(521\) | −3.66734 | − | 20.7985i | −0.160669 | − | 0.911200i | −0.953418 | − | 0.301652i | \(-0.902462\pi\) |
0.792749 | − | 0.609548i | \(-0.208649\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.23247 | − | 41.0174i | 0.316254 | − | 1.79356i | −0.248848 | − | 0.968543i | \(-0.580052\pi\) |
0.565102 | − | 0.825021i | \(-0.308837\pi\) | |||||||
\(524\) | −1.31866 | − | 0.662256i | −0.0576059 | − | 0.0289308i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.2277 | + | 26.0288i | −0.489553 | + | 1.13491i | ||||
\(527\) | 10.4356 | − | 24.1924i | 0.454581 | − | 1.05384i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −20.1528 | − | 10.1211i | −0.876209 | − | 0.440049i | ||||
\(530\) | −2.05173 | + | 11.6360i | −0.0891217 | + | 0.505434i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.328733 | − | 1.86434i | −0.0142524 | − | 0.0808293i | ||||
\(533\) | 4.90235 | − | 16.3750i | 0.212344 | − | 0.709279i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.34489 | + | 3.18653i | −0.274314 | + | 0.137766i | ||||
\(536\) | −10.1845 | − | 34.0185i | −0.439902 | − | 1.46938i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.76168 | + | 5.05281i | −0.162177 | + | 0.217842i | ||||
\(539\) | −6.85799 | + | 11.8784i | −0.295395 | + | 0.511638i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.87647 | − | 8.44629i | −0.209656 | − | 0.363134i | 0.741950 | − | 0.670455i | \(-0.233901\pi\) |
−0.951606 | + | 0.307320i | \(0.900568\pi\) | |||||||
\(542\) | −11.3049 | − | 1.32136i | −0.485588 | − | 0.0567571i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6.11490 | + | 1.44926i | 0.262174 | + | 0.0621364i | ||||
\(545\) | 24.6913 | + | 16.2397i | 1.05766 | + | 0.695632i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.475687 | − | 0.504198i | −0.0203389 | − | 0.0215580i | 0.717124 | − | 0.696945i | \(-0.245458\pi\) |
−0.737463 | + | 0.675387i | \(0.763976\pi\) | |||||||
\(548\) | 2.75722 | − | 2.31358i | 0.117783 | − | 0.0988314i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 11.2122 | + | 9.40814i | 0.478089 | + | 0.401164i | ||||
\(551\) | −1.34487 | − | 23.0905i | −0.0572934 | − | 0.983689i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.16893 | + | 5.59984i | 0.177281 | + | 0.238130i | ||||
\(554\) | −21.8850 | + | 2.55799i | −0.929804 | + | 0.108678i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.26993 | − | 2.15067i | 0.138676 | − | 0.0912087i | ||||
\(557\) | 28.7125 | − | 10.4505i | 1.21659 | − | 0.442801i | 0.347602 | − | 0.937642i | \(-0.386996\pi\) |
0.868984 | + | 0.494841i | \(0.164774\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 13.5800 | + | 4.94270i | 0.574371 | + | 0.209054i | ||||
\(560\) | −12.9621 | + | 3.07208i | −0.547751 | + | 0.129819i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.0961204 | − | 1.65032i | 0.00405460 | − | 0.0696147i | ||||
\(563\) | −6.68923 | + | 7.09017i | −0.281918 | + | 0.298815i | −0.852822 | − | 0.522201i | \(-0.825111\pi\) |
0.570905 | + | 0.821016i | \(0.306593\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.72596 | + | 13.2743i | 0.240893 | + | 0.558453i | ||||
\(566\) | −9.81660 | −0.412622 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −26.6889 | −1.11984 | ||||||||
\(569\) | 7.79560 | + | 18.0722i | 0.326808 | + | 0.757627i | 0.999838 | + | 0.0180113i | \(0.00573349\pi\) |
−0.673029 | + | 0.739616i | \(0.735007\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.6458 | − | 24.0031i | 0.947697 | − | 1.00450i | −0.0522860 | − | 0.998632i | \(-0.516651\pi\) |
0.999983 | − | 0.00586776i | \(-0.00186778\pi\) | |||||||
\(572\) | −0.0820673 | + | 1.40904i | −0.00343140 | + | 0.0589149i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −27.8014 | + | 6.58906i | −1.16041 | + | 0.275022i | ||||
\(575\) | −1.52945 | − | 0.556674i | −0.0637824 | − | 0.0232149i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −19.1279 | + | 6.96197i | −0.796303 | + | 0.289831i | −0.707954 | − | 0.706259i | \(-0.750381\pi\) |
−0.0883494 | + | 0.996090i | \(0.528159\pi\) | |||||||
\(578\) | −15.2757 | + | 10.0470i | −0.635384 | + | 0.417899i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.56983 | − | 0.183487i | 0.0651837 | − | 0.00761888i | ||||
\(581\) | −6.23280 | − | 8.37210i | −0.258580 | − | 0.347333i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.16997 | + | 20.0877i | 0.0484553 | + | 0.831946i | ||||
\(584\) | −23.7477 | − | 19.9267i | −0.982686 | − | 0.824571i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.54165 | + | 2.97180i | −0.146304 | + | 0.122764i | ||||
\(587\) | −24.1185 | − | 25.5641i | −0.995477 | − | 1.05514i | −0.998478 | − | 0.0551480i | \(-0.982437\pi\) |
0.00300161 | − | 0.999995i | \(-0.499045\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 19.6476 | + | 12.9224i | 0.809566 | + | 0.532460i | ||||
\(590\) | −4.39545 | − | 1.04174i | −0.180958 | − | 0.0428878i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −51.9672 | − | 6.07410i | −2.13584 | − | 0.249644i | ||||
\(593\) | 4.46816 | + | 7.73909i | 0.183485 | + | 0.317806i | 0.943065 | − | 0.332608i | \(-0.107929\pi\) |
−0.759580 | + | 0.650414i | \(0.774595\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.25249 | − | 14.2937i | 0.338319 | − | 0.585986i | ||||
\(596\) | −0.906953 | + | 1.21825i | −0.0371503 | + | 0.0499015i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.482071 | − | 1.61023i | −0.0197134 | − | 0.0658472i | ||||
\(599\) | 35.4506 | − | 17.8040i | 1.44847 | − | 0.727451i | 0.461322 | − | 0.887233i | \(-0.347375\pi\) |
0.987152 | + | 0.159782i | \(0.0510791\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.78673 | + | 22.6693i | −0.276837 | + | 0.924699i | 0.700615 | + | 0.713539i | \(0.252909\pi\) |
−0.977452 | + | 0.211159i | \(0.932276\pi\) | |||||||
\(602\) | −4.19466 | − | 23.7891i | −0.170962 | − | 0.969572i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.0955328 | + | 0.541794i | −0.00388718 | + | 0.0220453i | ||||
\(605\) | −7.79156 | − | 3.91307i | −0.316772 | − | 0.159089i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.03429 | − | 16.3073i | 0.285513 | − | 0.661893i | −0.713745 | − | 0.700405i | \(-0.753003\pi\) |
0.999258 | + | 0.0385121i | \(0.0122618\pi\) | |||||||
\(608\) | −2.22164 | + | 5.15035i | −0.0900995 | + | 0.208874i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.384529 | + | 0.193118i | 0.0155691 | + | 0.00781911i | ||||
\(611\) | −0.0591812 | + | 0.335633i | −0.00239422 | + | 0.0135783i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.410662 | − | 2.32898i | −0.0165865 | − | 0.0940666i | 0.975391 | − | 0.220483i | \(-0.0707635\pi\) |
−0.991977 | + | 0.126417i | \(0.959652\pi\) | |||||||
\(614\) | 3.20441 | − | 10.7035i | 0.129319 | − | 0.431957i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −18.3615 | + | 9.22150i | −0.739807 | + | 0.371545i | ||||
\(617\) | 9.69418 | + | 32.3808i | 0.390273 | + | 1.30360i | 0.897204 | + | 0.441616i | \(0.145595\pi\) |
−0.506931 | + | 0.861986i | \(0.669220\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 28.3599 | − | 38.0940i | 1.13988 | − | 1.53113i | 0.330537 | − | 0.943793i | \(-0.392770\pi\) |
0.809345 | − | 0.587334i | \(-0.199823\pi\) | |||||||
\(620\) | −0.803470 | + | 1.39165i | −0.0322681 | + | 0.0558901i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.4270 | − | 19.7921i | −0.458180 | − | 0.793591i | ||||
\(623\) | −13.3725 | − | 1.56303i | −0.535759 | − | 0.0626213i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.75322 | − | 1.60054i | −0.270129 | − | 0.0640217i | ||||
\(626\) | 4.92649 | + | 3.24021i | 0.196902 | + | 0.129505i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.807755 | + | 0.856170i | 0.0322329 | + | 0.0341649i | ||||
\(629\) | 49.6594 | − | 41.6692i | 1.98005 | − | 1.66146i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.6874 | − | 12.3242i | −0.584695 | − | 0.490617i | 0.301790 | − | 0.953374i | \(-0.402416\pi\) |
−0.886485 | + | 0.462757i | \(0.846860\pi\) | |||||||
\(632\) | −0.568709 | − | 9.76436i | −0.0226220 | − | 0.388406i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −7.60557 | − | 10.2161i | −0.302056 | − | 0.405731i | ||||
\(635\) | −2.79244 | + | 0.326389i | −0.110814 | + | 0.0129523i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.77634 | + | 3.14145i | −0.189246 | + | 0.124469i | ||||
\(638\) | 27.0866 | − | 9.85872i | 1.07237 | − | 0.390311i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 19.1913 | + | 6.98507i | 0.758603 | + | 0.276109i | ||||
\(641\) | −2.04822 | + | 0.485436i | −0.0808997 | + | 0.0191736i | −0.270866 | − | 0.962617i | \(-0.587310\pi\) |
0.189967 | + | 0.981791i | \(0.439162\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.54772 | − | 43.7427i | 0.100472 | − | 1.72504i | −0.452433 | − | 0.891798i | \(-0.649444\pi\) |
0.552905 | − | 0.833244i | \(-0.313519\pi\) | |||||||
\(644\) | −0.180037 | + | 0.190829i | −0.00709447 | + | 0.00751970i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −15.3899 | − | 35.6778i | −0.605507 | − | 1.40372i | ||||
\(647\) | −2.17952 | −0.0856859 | −0.0428430 | − | 0.999082i | \(-0.513642\pi\) | ||||
−0.0428430 | + | 0.999082i | \(0.513642\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7.69281 | −0.301969 | ||||||||
\(650\) | 2.41628 | + | 5.60157i | 0.0947743 | + | 0.219712i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.26714 | + | 2.40303i | −0.0887880 | + | 0.0941098i | ||||
\(653\) | −1.08815 | + | 18.6828i | −0.0425826 | + | 0.731115i | 0.907680 | + | 0.419664i | \(0.137852\pi\) |
−0.950262 | + | 0.311451i | \(0.899185\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.1734 | − | 2.64814i | 0.436579 | − | 0.103471i | ||||
\(656\) | 41.5311 | + | 15.1161i | 1.62152 | + | 0.590183i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.535320 | − | 0.194841i | 0.0208689 | − | 0.00759568i | ||||
\(659\) | −11.9512 | + | 7.86043i | −0.465553 | + | 0.306199i | −0.760527 | − | 0.649306i | \(-0.775059\pi\) |
0.294974 | + | 0.955505i | \(0.404689\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −24.8243 | + | 2.90155i | −0.965555 | + | 0.112857i | −0.584234 | − | 0.811586i | \(-0.698605\pi\) |
−0.381321 | + | 0.924443i | \(0.624531\pi\) | |||||||
\(662\) | −8.27579 | − | 11.1163i | −0.321648 | − | 0.432048i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.850255 | + | 14.5983i | 0.0329963 | + | 0.566524i | ||||
\(665\) | 11.2851 | + | 9.46931i | 0.437617 | + | 0.367204i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.45548 | + | 2.06039i | −0.0950764 | + | 0.0797786i | ||||
\(668\) | 2.70676 | + | 2.86900i | 0.104728 | + | 0.111005i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −26.5091 | − | 17.4353i | −1.02414 | − | 0.673586i | ||||
\(671\) | 0.713045 | + | 0.168995i | 0.0275268 | + | 0.00652397i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 29.4895 | + | 3.44683i | 1.13674 | + | 0.132866i | 0.663576 | − | 0.748109i | \(-0.269038\pi\) |
0.473163 | + | 0.880975i | \(0.343112\pi\) | |||||||
\(674\) | −3.27319 | − | 5.66933i | −0.126078 | − | 0.218374i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.04480 | − | 1.80964i | 0.0401846 | − | 0.0696017i | ||||
\(677\) | −23.1605 | + | 31.1099i | −0.890129 | + | 1.19565i | 0.0897310 | + | 0.995966i | \(0.471399\pi\) |
−0.979860 | + | 0.199685i | \(0.936008\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.729900 | − | 2.43803i | −0.0280110 | − | 0.0935632i | ||||
\(680\) | −20.6642 | + | 10.3780i | −0.792436 | + | 0.397977i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.40530 | + | 28.0757i | −0.321856 | + | 1.07507i | ||||
\(683\) | 2.81006 | + | 15.9367i | 0.107524 | + | 0.609799i | 0.990182 | + | 0.139784i | \(0.0446407\pi\) |
−0.882658 | + | 0.470016i | \(0.844248\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.86369 | + | 27.5833i | −0.185832 | + | 1.05391i | ||||
\(686\) | 26.2096 | + | 13.1630i | 1.00069 | + | 0.502564i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −14.8000 | + | 34.3103i | −0.564246 | + | 1.30807i | ||||
\(689\) | −3.32182 | + | 7.70084i | −0.126551 | + | 0.293379i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.7344 | − | 7.90210i | −0.598564 | − | 0.300610i | 0.123600 | − | 0.992332i | \(-0.460556\pi\) |
−0.722164 | + | 0.691722i | \(0.756852\pi\) | |||||||
\(692\) | 0.845488 | − | 4.79500i | 0.0321406 | − | 0.182279i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.16814 | − | 29.3100i | −0.196180 | − | 1.11259i | ||||
\(695\) | −8.73495 | + | 29.1768i | −0.331335 | + | 1.10674i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −48.9348 | + | 24.5760i | −1.85354 | + | 0.930881i | ||||
\(698\) | 14.3331 | + | 47.8760i | 0.542517 | + | 1.81213i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.568608 | − | 0.763773i | 0.0214914 | − | 0.0288679i | ||||
\(701\) | 9.33660 | − | 16.1715i | 0.352639 | − | 0.610788i | −0.634072 | − | 0.773274i | \(-0.718618\pi\) |
0.986711 | + | 0.162486i | \(0.0519512\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 28.9303 | + | 50.1087i | 1.09113 | + | 1.88989i | ||||
\(704\) | 28.2504 | + | 3.30200i | 1.06473 | + | 0.124449i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −11.6560 | − | 2.76252i | −0.438679 | − | 0.103969i | ||||
\(707\) | −7.87574 | − | 5.17996i | −0.296198 | − | 0.194812i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.6076 | − | 23.9627i | −0.849047 | − | 0.899938i | 0.146966 | − | 0.989142i | \(-0.453049\pi\) |
−0.996013 | + | 0.0892040i | \(0.971568\pi\) | |||||||
\(710\) | −18.2677 | + | 15.3285i | −0.685576 | + | 0.575267i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.4497 | + | 12.1247i | 0.541526 | + | 0.454394i | ||||
\(713\) | −0.189493 | − | 3.25347i | −0.00709657 | − | 0.121843i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.55882 | − | 8.81003i | −0.245286 | − | 0.329476i | ||||
\(716\) | −0.917404 | + | 0.107229i | −0.0342850 | + | 0.00400734i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −20.2571 | + | 13.3233i | −0.755990 | + | 0.497222i | ||||
\(719\) | −43.1137 | + | 15.6921i | −1.60787 | + | 0.585216i | −0.981017 | − | 0.193922i | \(-0.937879\pi\) |
−0.626852 | + | 0.779139i | \(0.715657\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.07379 | − | 1.48274i | −0.151716 | − | 0.0552200i | ||||
\(722\) | 6.28670 | − | 1.48997i | 0.233967 | − | 0.0554511i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.0456669 | + | 0.784070i | −0.00169720 | + | 0.0291397i | ||||
\(725\) | 7.98355 | − | 8.46207i | 0.296502 | − | 0.314273i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.39466 | + | 14.8245i | 0.237165 | + | 0.549810i | 0.994681 | − | 0.103007i | \(-0.0328464\pi\) |
−0.757516 | + | 0.652817i | \(0.773587\pi\) | |||||||
\(728\) | −8.56403 | −0.317404 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −27.6992 | −1.02519 | ||||||||
\(731\) | −18.3372 | − | 42.5105i | −0.678227 | − | 1.57231i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 17.6698 | − | 18.7289i | 0.652648 | − | 0.691767i | −0.313549 | − | 0.949572i | \(-0.601518\pi\) |
0.966197 | + | 0.257805i | \(0.0829993\pi\) | |||||||
\(734\) | −1.13663 | + | 19.5151i | −0.0419536 | + | 0.720316i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.756375 | − | 0.179264i | 0.0278803 | − | 0.00660776i | ||||
\(737\) | −50.7756 | − | 18.4808i | −1.87034 | − | 0.680750i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.9934 | + | 6.18508i | −0.625111 | + | 0.227522i | −0.635102 | − | 0.772428i | \(-0.719042\pi\) |
0.00999089 | + | 0.999950i | \(0.496820\pi\) | |||||||
\(740\) | −3.30334 | + | 2.17264i | −0.121433 | + | 0.0798678i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 13.9239 | − | 1.62747i | 0.511162 | − | 0.0597463i | ||||
\(743\) | 26.4761 | + | 35.5636i | 0.971314 | + | 1.30470i | 0.952391 | + | 0.304880i | \(0.0986163\pi\) |
0.0189230 | + | 0.999821i | \(0.493976\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.687201 | − | 11.7988i | −0.0251771 | − | 0.432274i | ||||
\(746\) | 0.247642 | + | 0.207797i | 0.00906683 | + | 0.00760798i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.46379 | − | 2.90646i | 0.126649 | − | 0.106271i | ||||
\(749\) | 5.78095 | + | 6.12744i | 0.211231 | + | 0.223892i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.09320 | − | 1.37672i | −0.0763819 | − | 0.0502372i | 0.510744 | − | 0.859733i | \(-0.329370\pi\) |
−0.587126 | + | 0.809496i | \(0.699741\pi\) | |||||||
\(752\) | −0.857459 | − | 0.203222i | −0.0312683 | − | 0.00741073i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 11.9330 | + | 1.39477i | 0.434575 | + | 0.0507946i | ||||
\(755\) | −2.14057 | − | 3.70758i | −0.0779034 | − | 0.134933i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.8769 | − | 37.8919i | 0.795129 | − | 1.37720i | −0.127629 | − | 0.991822i | \(-0.540737\pi\) |
0.922757 | − | 0.385381i | \(-0.125930\pi\) | |||||||
\(758\) | −21.4515 | + | 28.8144i | −0.779155 | + | 1.04659i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.91942 | − | 19.7722i | −0.214720 | − | 0.717215i | ||||
\(761\) | −41.2979 | + | 20.7406i | −1.49705 | + | 0.751846i | −0.993683 | − | 0.112227i | \(-0.964202\pi\) |
−0.503366 | + | 0.864073i | \(0.667905\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.0564 | − | 33.5908i | 0.364067 | − | 1.21607i | ||||
\(764\) | 0.658078 | + | 3.73214i | 0.0238084 | + | 0.135024i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.18168 | − | 12.3729i | 0.0788272 | − | 0.447051i | ||||
\(767\) | −2.86531 | − | 1.43901i | −0.103460 | − | 0.0519598i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 11.5490 | − | 26.7737i | 0.416469 | − | 0.965483i | −0.572843 | − | 0.819665i | \(-0.694159\pi\) |
0.989311 | − | 0.145818i | \(-0.0465814\pi\) | |||||||
\(770\) | −7.27165 | + | 16.8576i | −0.262052 | + | 0.607505i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.02306 | − | 1.51824i | −0.108802 | − | 0.0546427i | ||||
\(773\) | 6.90323 | − | 39.1502i | 0.248292 | − | 1.40813i | −0.564429 | − | 0.825481i | \(-0.690904\pi\) |
0.812721 | − | 0.582653i | \(-0.197985\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.05395 | + | 11.6485i | 0.0737801 | + | 0.418427i | ||||
\(776\) | −1.02260 | + | 3.41574i | −0.0367094 | + | 0.122618i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 33.3343 | − | 16.7411i | 1.19509 | − | 0.600198i | ||||
\(779\) | −14.0177 | − | 46.8225i | −0.502238 | − | 1.67759i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −24.2513 | + | 32.5751i | −0.867779 | + | 1.16563i | ||||
\(782\) | −2.69238 | + | 4.66333i | −0.0962792 | + | 0.166760i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −7.39082 | − | 12.8013i | −0.263958 | − | 0.457188i | ||||
\(785\) | −9.09774 | − | 1.06337i | −0.324712 | − | 0.0379534i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.0251 | − | 3.56102i | −0.535588 | − | 0.126937i | −0.0460839 | − | 0.998938i | \(-0.514674\pi\) |
−0.489504 | + | 0.872001i | \(0.662822\pi\) | |||||||
\(788\) | −3.22220 | − | 2.11927i | −0.114786 | − | 0.0754959i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.99732 | − | 6.35679i | −0.213375 | − | 0.226164i | ||||
\(791\) | 13.1394 | − | 11.0253i | 0.467184 | − | 0.392014i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.233973 | + | 0.196327i | 0.00830864 | + | 0.00697178i | ||||
\(794\) | 2.18887 | + | 37.5815i | 0.0776801 | + | 1.33372i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.110132 | + | 0.147933i | 0.00390352 | + | 0.00524334i | ||||
\(797\) | −27.5793 | + | 3.22356i | −0.976908 | + | 0.114184i | −0.589539 | − | 0.807740i | \(-0.700690\pi\) |
−0.387370 | + | 0.921924i | \(0.626616\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.912204 | − | 0.599966i | 0.0322715 | − | 0.0212253i | ||||
\(800\) | −2.65111 | + | 0.964924i | −0.0937308 | + | 0.0341152i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −33.1308 | − | 12.0586i | −1.16989 | − | 0.425804i | ||||
\(803\) | −45.9002 | + | 10.8785i | −1.61978 | + | 0.383896i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.118706 | − | 2.03811i | 0.00418385 | − | 0.0718340i | ||||
\(806\) | −8.38253 | + | 8.88496i | −0.295262 | + | 0.312959i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 5.23093 | + | 12.1267i | 0.184023 | + | 0.426614i | ||||
\(809\) | 1.83050 | 0.0643571 | 0.0321785 | − | 0.999482i | \(-0.489755\pi\) | ||||
0.0321785 | + | 0.999482i | \(0.489755\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.4506 | −0.507429 | −0.253715 | − | 0.967279i | \(-0.581652\pi\) | ||||
−0.253715 | + | 0.967279i | \(0.581652\pi\) | |||||||
\(812\) | −0.742743 | − | 1.72187i | −0.0260652 | − | 0.0604258i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −49.4834 | + | 52.4493i | −1.73439 | + | 1.83835i | ||||
\(815\) | 1.49482 | − | 25.6651i | 0.0523613 | − | 0.899009i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 40.2086 | − | 9.52962i | 1.40672 | − | 0.333399i | ||||
\(818\) | −13.1021 | − | 4.76877i | −0.458104 | − | 0.166736i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.13841 | − | 1.14229i | 0.109598 | − | 0.0398904i | ||||
\(821\) | −18.0379 | + | 11.8637i | −0.629527 | + | 0.414046i | −0.823784 | − | 0.566904i | \(-0.808141\pi\) |
0.194257 | + | 0.980951i | \(0.437771\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 10.9193 | − | 1.27628i | 0.380623 | − | 0.0444884i | 0.0763694 | − | 0.997080i | \(-0.475667\pi\) |
0.304253 | + | 0.952591i | \(0.401593\pi\) | |||||||
\(824\) | 3.62699 | + | 4.87190i | 0.126352 | + | 0.169721i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.311629 | + | 5.35047i | 0.0108430 | + | 0.186167i | ||||
\(827\) | 21.6075 | + | 18.1309i | 0.751367 | + | 0.630472i | 0.935864 | − | 0.352361i | \(-0.114621\pi\) |
−0.184497 | + | 0.982833i | \(0.559066\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −36.5129 | + | 30.6380i | −1.26815 | + | 1.06410i | −0.273382 | + | 0.961906i | \(0.588142\pi\) |
−0.994764 | + | 0.102196i | \(0.967413\pi\) | |||||||
\(830\) | 8.96635 | + | 9.50378i | 0.311227 | + | 0.329881i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 9.90468 | + | 6.51441i | 0.343383 | + | 0.225847i | ||||
\(833\) | 17.8208 | + | 4.22360i | 0.617453 | + | 0.146339i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −30.4862 | − | 3.56333i | −1.05502 | − | 0.123314i | ||||
\(836\) | 2.01791 | + | 3.49513i | 0.0697910 | + | 0.120882i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −8.71848 | + | 15.1008i | −0.301175 | + | 0.521650i | ||||
\(839\) | 30.8386 | − | 41.4235i | 1.06467 | − | 1.43010i | 0.168869 | − | 0.985639i | \(-0.445989\pi\) |
0.895799 | − | 0.444459i | \(-0.146604\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.74623 | + | 5.83281i | 0.0602148 | + | 0.201131i | ||||
\(842\) | 8.98039 | − | 4.51012i | 0.309485 | − | 0.155429i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.883866 | + | 2.95232i | −0.0304239 | + | 0.101623i | ||||
\(845\) | 2.82365 | + | 16.0137i | 0.0971364 | + | 0.550888i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.79636 | + | 10.1876i | −0.0617235 | + | 0.350051i | ||||
\(848\) | −19.3785 | − | 9.73223i | −0.665459 | − | 0.334206i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 7.74080 | − | 17.9452i | 0.265507 | − | 0.615515i | ||||
\(851\) | 3.17598 | − | 7.36275i | 0.108871 | − | 0.252392i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 35.1268 | + | 17.6414i | 1.20272 | + | 0.604029i | 0.933336 | − | 0.359004i | \(-0.116884\pi\) |
0.269384 | + | 0.963033i | \(0.413180\pi\) | |||||||
\(854\) | 0.0886537 | − | 0.502780i | 0.00303367 | − | 0.0172048i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.04945 | − | 11.6230i | −0.0700487 | − | 0.397266i | ||||
\(857\) | 5.60517 | − | 18.7226i | 0.191469 | − | 0.639550i | −0.807309 | − | 0.590129i | \(-0.799077\pi\) |
0.998778 | − | 0.0494217i | \(-0.0157378\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 21.3183 | − | 10.7065i | 0.727372 | − | 0.365300i | −0.0462650 | − | 0.998929i | \(-0.514732\pi\) |
0.773637 | + | 0.633629i | \(0.218436\pi\) | |||||||
\(860\) | 0.809843 | + | 2.70506i | 0.0276154 | + | 0.0922419i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.92807 | − | 9.30602i | 0.235971 | − | 0.316964i | ||||
\(863\) | 12.6584 | − | 21.9249i | 0.430896 | − | 0.746334i | −0.566055 | − | 0.824368i | \(-0.691531\pi\) |
0.996951 | + | 0.0780339i | \(0.0248642\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 18.9446 | + | 32.8129i | 0.644134 | + | 1.11567i | ||||
\(866\) | −6.51686 | − | 0.761712i | −0.221452 | − | 0.0258840i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.85519 | + | 0.439689i | 0.0629694 | + | 0.0149240i | ||||
\(869\) | −12.4347 | − | 8.17841i | −0.421817 | − | 0.277434i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −15.4552 | − | 16.3816i | −0.523680 | − | 0.555068i | ||||
\(872\) | −37.6321 | + | 31.5771i | −1.27438 | + | 1.06933i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.68176 | − | 3.08936i | −0.124537 | − | 0.104499i | ||||
\(875\) | 1.31715 | + | 22.6146i | 0.0445278 | + | 0.764514i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −24.7040 | − | 33.1832i | −0.834194 | − | 1.12052i | −0.991128 | − | 0.132908i | \(-0.957569\pi\) |
0.156934 | − | 0.987609i | \(-0.449839\pi\) | |||||||
\(878\) | 22.1774 | − | 2.59217i | 0.748452 | − | 0.0874815i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 23.7270 | − | 15.6055i | 0.799838 | − | 0.526062i | ||||
\(881\) | 5.70063 | − | 2.07486i | 0.192059 | − | 0.0699038i | −0.244200 | − | 0.969725i | \(-0.578525\pi\) |
0.436259 | + | 0.899821i | \(0.356303\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13.5249 | + | 4.92265i | 0.455148 | + | 0.165660i | 0.559413 | − | 0.828889i | \(-0.311027\pi\) |
−0.104265 | + | 0.994550i | \(0.533249\pi\) | |||||||
\(884\) | 1.83383 | − | 0.434625i | 0.0616783 | − | 0.0146180i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.980741 | − | 16.8387i | 0.0329486 | − | 0.565706i | ||||
\(887\) | −4.45102 | + | 4.71780i | −0.149451 | + | 0.158408i | −0.797774 | − | 0.602957i | \(-0.793989\pi\) |
0.648323 | + | 0.761365i | \(0.275471\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.32120 | + | 3.06289i | 0.0443116 | + | 0.102726i | ||||
\(890\) | 16.8541 | 0.564951 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.27732 | −0.0427680 | ||||||||
\(893\) | 0.385985 | + | 0.894813i | 0.0129165 | + | 0.0299438i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 4.93244 | − | 5.22808i | 0.164873 | − | 0.174755i | ||||
\(896\) | 1.40892 | − | 24.1902i | 0.0470687 | − | 0.808139i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 9.65467 | − | 2.28820i | 0.322181 | − | 0.0763582i | ||||
\(899\) | 21.8896 | + | 7.96717i | 0.730059 | + | 0.265720i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 25.2474 | − | 9.18932i | 0.841114 | − | 0.306141i | ||||
\(902\) | 50.8901 | − | 33.4710i | 1.69446 | − | 1.11446i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −23.8682 | + | 2.78980i | −0.793846 | + | 0.0927872i | ||||
\(905\) | −3.64970 | − | 4.90240i | −0.121320 | − | 0.162961i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.51668 | − | 26.0404i | −0.0503605 | − | 0.864657i | −0.925020 | − | 0.379919i | \(-0.875952\pi\) |
0.874659 | − | 0.484738i | \(-0.161085\pi\) | |||||||
\(908\) | −2.25389 | − | 1.89124i | −0.0747981 | − | 0.0627631i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.86182 | + | 4.91865i | −0.194318 | + | 0.163052i | ||||
\(911\) | −8.61747 | − | 9.13398i | −0.285510 | − | 0.302622i | 0.568707 | − | 0.822540i | \(-0.307444\pi\) |
−0.854216 | + | 0.519918i | \(0.825962\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 18.5906 | + | 12.2272i | 0.615258 | + | 0.404662i | ||||
\(914\) | 17.3611 | + | 4.11465i | 0.574254 | + | 0.136101i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.99644 | − | 0.467117i | −0.132046 | − | 0.0154340i | ||||
\(917\) | −6.81205 | − | 11.7988i | −0.224954 | − | 0.389631i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 19.5883 | − | 33.9279i | 0.646158 | − | 1.11918i | −0.337875 | − | 0.941191i | \(-0.609708\pi\) |
0.984033 | − | 0.177987i | \(-0.0569586\pi\) | |||||||
\(920\) | −1.70804 | + | 2.29429i | −0.0563123 | + | 0.0756406i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.98130 | + | 9.95824i | 0.0981839 | + | 0.327957i | ||||
\(923\) | −15.1263 | + | 7.59671i | −0.497888 | + | 0.250049i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8.34674 | + | 27.8800i | −0.274439 | + | 0.916690i | ||||
\(926\) | 7.23016 | + | 41.0043i | 0.237598 | + | 1.34748i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.964816 | + | 5.47174i | −0.0316716 | + | 0.179619i | ||||
\(929\) | −43.1360 | − | 21.6637i | −1.41525 | − | 0.710763i | −0.433534 | − | 0.901137i | \(-0.642733\pi\) |
−0.981712 | + | 0.190375i | \(0.939030\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.47458 | + | 15.0098i | −0.212196 | + | 0.491925i | ||||
\(932\) | 0.774156 | − | 1.79469i | 0.0253583 | − | 0.0587872i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 19.0005 | + | 9.54241i | 0.621715 | + | 0.312237i | ||||
\(935\) | −6.11005 | + | 34.6518i | −0.199820 | + | 1.13324i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.06159 | + | 11.6919i | 0.0673494 | + | 0.381957i | 0.999787 | + | 0.0206269i | \(0.00656621\pi\) |
−0.932438 | + | 0.361330i | \(0.882323\pi\) | |||||||
\(938\) | −10.7968 | + | 36.0639i | −0.352529 | + | 1.17753i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.0595081 | + | 0.0298861i | −0.00194094 | + | 0.000974778i | ||||
\(941\) | 2.49726 | + | 8.34141i | 0.0814082 | + | 0.271922i | 0.988996 | − | 0.147939i | \(-0.0472639\pi\) |
−0.907588 | + | 0.419861i | \(0.862079\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.04479 | + | 5.43310i | −0.131717 | + | 0.176926i | ||||
\(944\) | 4.14525 | − | 7.17978i | 0.134916 | − | 0.233682i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 25.7488 | + | 44.5982i | 0.837164 | + | 1.45001i | ||||
\(947\) | 35.0278 | + | 4.09416i | 1.13825 | + | 0.133042i | 0.664269 | − | 0.747493i | \(-0.268743\pi\) |
0.473980 | + | 0.880536i | \(0.342817\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −19.1312 | − | 4.53419i | −0.621026 | − | 0.147186i | ||||
\(950\) | 14.5740 | + | 9.58547i | 0.472843 | + | 0.310994i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 18.8275 | + | 19.9560i | 0.610204 | + | 0.646778i | ||||
\(953\) | −22.5161 | + | 18.8933i | −0.729369 | + | 0.612013i | −0.929959 | − | 0.367662i | \(-0.880158\pi\) |
0.200591 | + | 0.979675i | \(0.435714\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −22.5912 | − | 18.9562i | −0.731032 | − | 0.613409i | ||||
\(956\) | 0.131795 | + | 2.26284i | 0.00426256 | + | 0.0731853i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 19.9532 | + | 26.8018i | 0.644659 | + | 0.865927i | ||||
\(959\) | 33.0069 | − | 3.85796i | 1.06585 | − | 0.124580i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.11254 | − | 4.02028i | 0.197179 | − | 0.129686i | ||||
\(962\) | −28.2421 | + | 10.2793i | −0.910561 | + | 0.331417i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.424010 | + | 0.154327i | 0.0136565 | + | 0.00497054i | ||||
\(965\) | 25.6153 | − | 6.07093i | 0.824584 | − | 0.195430i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.62289 | + | 27.8639i | −0.0521885 | + | 0.896042i | 0.866036 | + | 0.499982i | \(0.166660\pi\) |
−0.918224 | + | 0.396061i | \(0.870377\pi\) | |||||||
\(968\) | 9.94589 | − | 10.5420i | 0.319673 | − | 0.338834i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.26185 | + | 2.92529i | 0.0405155 | + | 0.0939255i | ||||
\(971\) | 32.8139 | 1.05305 | 0.526524 | − | 0.850160i | \(-0.323495\pi\) | ||||
0.526524 | + | 0.850160i | \(0.323495\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 36.1354 | 1.15845 | ||||||||
\(974\) | −24.5432 | − | 56.8976i | −0.786416 | − | 1.82312i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.541947 | + | 0.574430i | −0.0173473 | + | 0.0183871i | ||||
\(977\) | −0.587778 | + | 10.0918i | −0.0188047 | + | 0.322864i | 0.975767 | + | 0.218812i | \(0.0702180\pi\) |
−0.994572 | + | 0.104052i | \(0.966819\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 27.9288 | − | 6.61925i | 0.892609 | − | 0.211552i | ||||
\(980\) | −1.04965 | − | 0.382042i | −0.0335299 | − | 0.0122039i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −15.4489 | + | 5.62294i | −0.492994 | + | 0.179435i | ||||
\(983\) | 41.5244 | − | 27.3111i | 1.32442 | − | 0.871087i | 0.327157 | − | 0.944970i | \(-0.393909\pi\) |
0.997267 | + | 0.0738825i | \(0.0235390\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 29.8087 | − | 3.48414i | 0.949784 | − | 0.111014i | ||||
\(986\) | −22.9840 | − | 30.8728i | −0.731959 | − | 0.983192i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.0978075 | + | 1.67929i | 0.00311167 | + | 0.0534253i | ||||
\(989\) | −4.38685 | − | 3.68101i | −0.139494 | − | 0.117049i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.4874 | + | 17.1909i | −0.650802 | + | 0.546088i | −0.907314 | − | 0.420453i | \(-0.861871\pi\) |
0.256512 | + | 0.966541i | \(0.417427\pi\) | |||||||
\(992\) | −3.87661 | − | 4.10896i | −0.123082 | − | 0.130460i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 23.6389 | + | 15.5476i | 0.749781 | + | 0.493139i | ||||
\(995\) | −1.39648 | − | 0.330971i | −0.0442713 | − | 0.0104925i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −42.0555 | − | 4.91558i | −1.33191 | − | 0.155678i | −0.579824 | − | 0.814742i | \(-0.696879\pi\) |
−0.752087 | + | 0.659064i | \(0.770953\pi\) | |||||||
\(998\) | −5.80331 | − | 10.0516i | −0.183701 | − | 0.318179i | ||||
\(999\) | 0 | 0 |
(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 | 729.2.g.b.676.6 | 144 | ||
3.2 | odd | 2 | 729.2.g.c.676.3 | 144 | |||
9.2 | odd | 6 | 81.2.g.a.58.3 | yes | 144 | ||
9.4 | even | 3 | 729.2.g.a.433.3 | 144 | |||
9.5 | odd | 6 | 729.2.g.d.433.6 | 144 | |||
9.7 | even | 3 | 243.2.g.a.226.6 | 144 | |||
81.7 | even | 27 | 729.2.g.a.298.3 | 144 | |||
81.14 | odd | 54 | 6561.2.a.c.1.21 | 72 | |||
81.20 | odd | 54 | 81.2.g.a.7.3 | ✓ | 144 | ||
81.34 | even | 27 | inner | 729.2.g.b.55.6 | 144 | ||
81.47 | odd | 54 | 729.2.g.c.55.3 | 144 | |||
81.61 | even | 27 | 243.2.g.a.100.6 | 144 | |||
81.67 | even | 27 | 6561.2.a.d.1.52 | 72 | |||
81.74 | odd | 54 | 729.2.g.d.298.6 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.7.3 | ✓ | 144 | 81.20 | odd | 54 | ||
81.2.g.a.58.3 | yes | 144 | 9.2 | odd | 6 | ||
243.2.g.a.100.6 | 144 | 81.61 | even | 27 | |||
243.2.g.a.226.6 | 144 | 9.7 | even | 3 | |||
729.2.g.a.298.3 | 144 | 81.7 | even | 27 | |||
729.2.g.a.433.3 | 144 | 9.4 | even | 3 | |||
729.2.g.b.55.6 | 144 | 81.34 | even | 27 | inner | ||
729.2.g.b.676.6 | 144 | 1.1 | even | 1 | trivial | ||
729.2.g.c.55.3 | 144 | 81.47 | odd | 54 | |||
729.2.g.c.676.3 | 144 | 3.2 | odd | 2 | |||
729.2.g.d.298.6 | 144 | 81.74 | odd | 54 | |||
729.2.g.d.433.6 | 144 | 9.5 | odd | 6 | |||
6561.2.a.c.1.21 | 72 | 81.14 | odd | 54 | |||
6561.2.a.d.1.52 | 72 | 81.67 | even | 27 |