Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(37,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.v (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | no (minimal twist has level 96) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 181.1 | ||
Character | \(\chi\) | \(=\) | 288.181 |
Dual form | 288.2.v.d.253.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34416 | − | 0.439595i | −0.950462 | − | 0.310841i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.61351 | + | 1.18177i | 0.806756 | + | 0.590884i | ||||
\(5\) | −0.184062 | + | 0.444366i | −0.0823152 | + | 0.198726i | −0.959678 | − | 0.281101i | \(-0.909301\pi\) |
0.877363 | + | 0.479827i | \(0.159301\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.134531 | − | 0.134531i | −0.0508480 | − | 0.0508480i | 0.681226 | − | 0.732074i | \(-0.261447\pi\) |
−0.732074 | + | 0.681226i | \(0.761447\pi\) | |||||||
\(8\) | −1.64931 | − | 2.29777i | −0.583120 | − | 0.812386i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.442749 | − | 0.516384i | 0.140010 | − | 0.163295i | ||||
\(11\) | 4.83050 | + | 2.00086i | 1.45645 | + | 0.603282i | 0.963724 | − | 0.266902i | \(-0.0860001\pi\) |
0.492727 | + | 0.870184i | \(0.336000\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.237510 | − | 0.573400i | −0.0658735 | − | 0.159033i | 0.887515 | − | 0.460780i | \(-0.152430\pi\) |
−0.953388 | + | 0.301747i | \(0.902430\pi\) | |||||||
\(14\) | 0.121692 | + | 0.239970i | 0.0325235 | + | 0.0641347i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.20685 | + | 3.81360i | 0.301712 | + | 0.953399i | ||||
\(17\) | 5.70425i | 1.38348i | 0.722145 | + | 0.691742i | \(0.243157\pi\) | ||||
−0.722145 | + | 0.691742i | \(0.756843\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.459376 | − | 1.10903i | −0.105388 | − | 0.254430i | 0.862385 | − | 0.506253i | \(-0.168970\pi\) |
−0.967773 | + | 0.251823i | \(0.918970\pi\) | |||||||
\(20\) | −0.822124 | + | 0.499471i | −0.183833 | + | 0.111685i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.61338 | − | 4.81293i | −1.19678 | − | 1.02612i | ||||
\(23\) | 4.07921 | − | 4.07921i | 0.850575 | − | 0.850575i | −0.139629 | − | 0.990204i | \(-0.544591\pi\) |
0.990204 | + | 0.139629i | \(0.0445910\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.37195 | + | 3.37195i | 0.674390 | + | 0.674390i | ||||
\(26\) | 0.0671870 | + | 0.875148i | 0.0131765 | + | 0.171631i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.0580831 | − | 0.376053i | −0.0109767 | − | 0.0710673i | ||||
\(29\) | 2.33405 | − | 0.966793i | 0.433421 | − | 0.179529i | −0.155296 | − | 0.987868i | \(-0.549633\pi\) |
0.588717 | + | 0.808339i | \(0.299633\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 10.2033 | 1.83256 | 0.916280 | − | 0.400539i | \(-0.131177\pi\) | ||||
0.916280 | + | 0.400539i | \(0.131177\pi\) | |||||||
\(32\) | 0.0542480 | − | 5.65659i | 0.00958978 | − | 0.999954i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.50756 | − | 7.66741i | 0.430043 | − | 1.31495i | ||||
\(35\) | 0.0845432 | − | 0.0350189i | 0.0142904 | − | 0.00591928i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.05654 | + | 7.37913i | −0.502491 | + | 1.21312i | 0.445631 | + | 0.895217i | \(0.352979\pi\) |
−0.948123 | + | 0.317905i | \(0.897021\pi\) | |||||||
\(38\) | 0.129949 | + | 1.69265i | 0.0210804 | + | 0.274585i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.32463 | − | 0.309965i | 0.209442 | − | 0.0490098i | ||||
\(41\) | 0.877147 | − | 0.877147i | 0.136987 | − | 0.136987i | −0.635288 | − | 0.772275i | \(-0.719119\pi\) |
0.772275 | + | 0.635288i | \(0.219119\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.15605 | − | 0.893063i | −0.328794 | − | 0.136191i | 0.212179 | − | 0.977231i | \(-0.431944\pi\) |
−0.540973 | + | 0.841040i | \(0.681944\pi\) | |||||||
\(44\) | 5.42952 | + | 8.93695i | 0.818531 | + | 1.34730i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.27630 | + | 3.68990i | −1.07283 | + | 0.544046i | ||||
\(47\) | − | 4.94536i | − | 0.721355i | −0.932691 | − | 0.360677i | \(-0.882546\pi\) | ||
0.932691 | − | 0.360677i | \(-0.117454\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 6.96380i | − | 0.994829i | ||||||
\(50\) | −3.05014 | − | 6.01472i | −0.431355 | − | 0.850610i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.294401 | − | 1.20587i | 0.0408261 | − | 0.167224i | ||||
\(53\) | −9.74330 | − | 4.03581i | −1.33834 | − | 0.554361i | −0.405321 | − | 0.914175i | \(-0.632840\pi\) |
−0.933024 | + | 0.359814i | \(0.882840\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.77823 | + | 1.77823i | −0.239776 | + | 0.239776i | ||||
\(56\) | −0.0872381 | + | 0.531007i | −0.0116577 | + | 0.0709587i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.56232 | + | 0.273487i | −0.467756 | + | 0.0359106i | ||||
\(59\) | −4.73462 | + | 11.4304i | −0.616395 | + | 1.48811i | 0.239466 | + | 0.970905i | \(0.423028\pi\) |
−0.855861 | + | 0.517205i | \(0.826972\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −9.46851 | + | 3.92198i | −1.21232 | + | 0.502159i | −0.894960 | − | 0.446147i | \(-0.852796\pi\) |
−0.317358 | + | 0.948306i | \(0.602796\pi\) | |||||||
\(62\) | −13.7148 | − | 4.48530i | −1.74178 | − | 0.569634i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.55953 | + | 7.57950i | −0.319941 | + | 0.947437i | ||||
\(65\) | 0.298516 | 0.0370264 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.79416 | − | 1.98581i | 0.585700 | − | 0.242605i | −0.0700997 | − | 0.997540i | \(-0.522332\pi\) |
0.655799 | + | 0.754935i | \(0.272332\pi\) | |||||||
\(68\) | −6.74111 | + | 9.20388i | −0.817479 | + | 1.11613i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.129033 | + | 0.00990617i | −0.0154224 | + | 0.00118401i | ||||
\(71\) | −4.32992 | − | 4.32992i | −0.513867 | − | 0.513867i | 0.401842 | − | 0.915709i | \(-0.368370\pi\) |
−0.915709 | + | 0.401842i | \(0.868370\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.12055 | + | 6.12055i | −0.716356 | + | 0.716356i | −0.967857 | − | 0.251501i | \(-0.919076\pi\) |
0.251501 | + | 0.967857i | \(0.419076\pi\) | |||||||
\(74\) | 7.35229 | − | 8.57507i | 0.854686 | − | 0.996831i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.569410 | − | 2.33231i | 0.0653158 | − | 0.267535i | ||||
\(77\) | −0.380675 | − | 0.919031i | −0.0433820 | − | 0.104733i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 11.9773i | − | 1.34756i | −0.738934 | − | 0.673778i | \(-0.764670\pi\) | ||
0.738934 | − | 0.673778i | \(-0.235330\pi\) | |||||||
\(80\) | −1.91677 | − | 0.165658i | −0.214301 | − | 0.0185212i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.56461 | + | 0.793434i | −0.172783 | + | 0.0876201i | ||||
\(83\) | −1.59989 | − | 3.86247i | −0.175610 | − | 0.423961i | 0.811426 | − | 0.584455i | \(-0.198691\pi\) |
−0.987037 | + | 0.160493i | \(0.948691\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.53477 | − | 1.04994i | −0.274935 | − | 0.113882i | ||||
\(86\) | 2.50548 | + | 2.14820i | 0.270172 | + | 0.231647i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.36949 | − | 14.3994i | −0.359189 | − | 1.53499i | ||||
\(89\) | 8.43934 | + | 8.43934i | 0.894569 | + | 0.894569i | 0.994949 | − | 0.100381i | \(-0.0320060\pi\) |
−0.100381 | + | 0.994949i | \(0.532006\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0451877 | + | 0.109093i | −0.00473696 | + | 0.0114360i | ||||
\(92\) | 11.4025 | − | 1.76118i | 1.18880 | − | 0.183615i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.17395 | + | 6.64733i | −0.224226 | + | 0.685620i | ||||
\(95\) | 0.577370 | 0.0592369 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.21817 | −0.935964 | −0.467982 | − | 0.883738i | \(-0.655019\pi\) | ||||
−0.467982 | + | 0.883738i | \(0.655019\pi\) | |||||||
\(98\) | −3.06125 | + | 9.36044i | −0.309233 | + | 0.945547i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.45582 | + | 9.42555i | 0.145582 | + | 0.942555i | ||||
\(101\) | −1.27818 | + | 3.08581i | −0.127184 | + | 0.307050i | −0.974626 | − | 0.223838i | \(-0.928141\pi\) |
0.847442 | + | 0.530888i | \(0.178141\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.17872 | − | 7.17872i | −0.707340 | − | 0.707340i | 0.258635 | − | 0.965975i | \(-0.416727\pi\) |
−0.965975 | + | 0.258635i | \(0.916727\pi\) | |||||||
\(104\) | −0.925816 | + | 1.49146i | −0.0907837 | + | 0.146250i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.3224 | + | 9.70786i | 1.09973 | + | 0.942910i | ||||
\(107\) | −1.52273 | − | 0.630735i | −0.147208 | − | 0.0609755i | 0.307863 | − | 0.951431i | \(-0.400386\pi\) |
−0.455071 | + | 0.890455i | \(0.650386\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.64602 | − | 13.6307i | −0.540791 | − | 1.30558i | −0.924166 | − | 0.381992i | \(-0.875238\pi\) |
0.383375 | − | 0.923593i | \(-0.374762\pi\) | |||||||
\(110\) | 3.17191 | − | 1.60851i | 0.302430 | − | 0.153366i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.350689 | − | 0.675406i | 0.0331370 | − | 0.0638199i | ||||
\(113\) | − | 4.48349i | − | 0.421771i | −0.977511 | − | 0.210886i | \(-0.932365\pi\) | ||
0.977511 | − | 0.210886i | \(-0.0676348\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.06183 | + | 2.56349i | 0.0990164 | + | 0.239047i | ||||
\(116\) | 4.90854 | + | 1.19837i | 0.455746 | + | 0.111266i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 11.3888 | − | 13.2829i | 1.04843 | − | 1.22279i | ||||
\(119\) | 0.767400 | − | 0.767400i | 0.0703474 | − | 0.0703474i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 11.5521 | + | 11.5521i | 1.05019 | + | 1.05019i | ||||
\(122\) | 14.4512 | − | 1.10945i | 1.30835 | − | 0.100445i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 16.4631 | + | 12.0579i | 1.47843 | + | 1.08283i | ||||
\(125\) | −4.34086 | + | 1.79804i | −0.388258 | + | 0.160822i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.5535 | 0.936470 | 0.468235 | − | 0.883604i | \(-0.344890\pi\) | ||||
0.468235 | + | 0.883604i | \(0.344890\pi\) | |||||||
\(128\) | 6.77232 | − | 9.06288i | 0.598594 | − | 0.801053i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.401252 | − | 0.131226i | −0.0351922 | − | 0.0115093i | ||||
\(131\) | −6.23238 | + | 2.58153i | −0.544525 | + | 0.225550i | −0.637952 | − | 0.770076i | \(-0.720218\pi\) |
0.0934264 | + | 0.995626i | \(0.470218\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0873991 | + | 0.211000i | −0.00757846 | + | 0.0182960i | ||||
\(134\) | −7.31705 | + | 0.561745i | −0.632097 | + | 0.0485274i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 13.1071 | − | 9.40810i | 1.12392 | − | 0.806738i | ||||
\(137\) | 10.4945 | − | 10.4945i | 0.896606 | − | 0.896606i | −0.0985279 | − | 0.995134i | \(-0.531413\pi\) |
0.995134 | + | 0.0985279i | \(0.0314134\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.16542 | + | 3.79644i | 0.777401 | + | 0.322010i | 0.735866 | − | 0.677127i | \(-0.236775\pi\) |
0.0415348 | + | 0.999137i | \(0.486775\pi\) | |||||||
\(140\) | 0.177796 | + | 0.0434070i | 0.0150265 | + | 0.00366856i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.91668 | + | 7.72350i | 0.328681 | + | 0.648142i | ||||
\(143\) | − | 3.24504i | − | 0.271364i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.21512i | 0.100910i | ||||||||
\(146\) | 10.9175 | − | 5.53641i | 0.903542 | − | 0.458197i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −13.6522 | + | 8.29420i | −1.12220 | + | 0.681779i | ||||
\(149\) | −9.74535 | − | 4.03666i | −0.798370 | − | 0.330696i | −0.0540667 | − | 0.998537i | \(-0.517218\pi\) |
−0.744303 | + | 0.667842i | \(0.767218\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.98745 | + | 8.98745i | −0.731388 | + | 0.731388i | −0.970895 | − | 0.239507i | \(-0.923014\pi\) |
0.239507 | + | 0.970895i | \(0.423014\pi\) | |||||||
\(152\) | −1.79065 | + | 2.88469i | −0.145241 | + | 0.233979i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.107686 | + | 1.40266i | 0.00867755 | + | 0.113030i | ||||
\(155\) | −1.87804 | + | 4.53398i | −0.150847 | + | 0.364178i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 20.8461 | − | 8.63473i | 1.66370 | − | 0.689127i | 0.665348 | − | 0.746533i | \(-0.268283\pi\) |
0.998351 | + | 0.0574062i | \(0.0182830\pi\) | |||||||
\(158\) | −5.26518 | + | 16.0994i | −0.418875 | + | 1.28080i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.50361 | + | 1.06527i | 0.197928 | + | 0.0842171i | ||||
\(161\) | −1.09756 | −0.0865001 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.04554 | + | 2.91836i | −0.551849 | + | 0.228584i | −0.641142 | − | 0.767422i | \(-0.721539\pi\) |
0.0892930 | + | 0.996005i | \(0.471539\pi\) | |||||||
\(164\) | 2.45187 | − | 0.378703i | 0.191459 | − | 0.0295717i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.452577 | + | 5.89507i | 0.0351268 | + | 0.457546i | ||||
\(167\) | 0.832153 | + | 0.832153i | 0.0643940 | + | 0.0643940i | 0.738570 | − | 0.674176i | \(-0.235501\pi\) |
−0.674176 | + | 0.738570i | \(0.735501\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.92001 | − | 8.92001i | 0.686155 | − | 0.686155i | ||||
\(170\) | 2.94559 | + | 2.52555i | 0.225916 | + | 0.193701i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.42341 | − | 3.98891i | −0.184783 | − | 0.304152i | ||||
\(173\) | −4.67762 | − | 11.2928i | −0.355633 | − | 0.858573i | −0.995903 | − | 0.0904237i | \(-0.971178\pi\) |
0.640271 | − | 0.768149i | \(-0.278822\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 0.907266i | − | 0.0685828i | ||||||
\(176\) | −1.80080 | + | 20.8363i | −0.135740 | + | 1.57060i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.63390 | − | 15.0537i | −0.572185 | − | 1.12832i | ||||
\(179\) | −4.58465 | − | 11.0683i | −0.342673 | − | 0.827285i | −0.997444 | − | 0.0714579i | \(-0.977235\pi\) |
0.654771 | − | 0.755828i | \(-0.272765\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.59848 | + | 1.90475i | 0.341802 | + | 0.141579i | 0.546980 | − | 0.837146i | \(-0.315777\pi\) |
−0.205178 | + | 0.978725i | \(0.565777\pi\) | |||||||
\(182\) | 0.108696 | − | 0.126774i | 0.00805709 | − | 0.00939708i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −16.1010 | − | 2.64521i | −1.18698 | − | 0.195007i | ||||
\(185\) | −2.71644 | − | 2.71644i | −0.199717 | − | 0.199717i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.4134 | + | 27.5544i | −0.834631 | + | 2.01498i | ||||
\(188\) | 5.84427 | − | 7.97940i | 0.426237 | − | 0.581957i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.776075 | − | 0.253809i | −0.0563024 | − | 0.0184132i | ||||
\(191\) | 16.3142 | 1.18045 | 0.590227 | − | 0.807238i | \(-0.299038\pi\) | ||||
0.590227 | + | 0.807238i | \(0.299038\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.22234 | 0.231949 | 0.115975 | − | 0.993252i | \(-0.463001\pi\) | ||||
0.115975 | + | 0.993252i | \(0.463001\pi\) | |||||||
\(194\) | 12.3907 | + | 4.05226i | 0.889598 | + | 0.290936i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.22960 | − | 11.2362i | 0.587829 | − | 0.802585i | ||||
\(197\) | −8.79059 | + | 21.2224i | −0.626303 | + | 1.51203i | 0.217880 | + | 0.975976i | \(0.430086\pi\) |
−0.844183 | + | 0.536055i | \(0.819914\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.10324 | − | 7.10324i | −0.503535 | − | 0.503535i | 0.409000 | − | 0.912535i | \(-0.365878\pi\) |
−0.912535 | + | 0.409000i | \(0.865878\pi\) | |||||||
\(200\) | 2.18658 | − | 13.3094i | 0.154614 | − | 0.941116i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.07459 | − | 3.58593i | 0.216327 | − | 0.252305i | ||||
\(203\) | −0.444066 | − | 0.183938i | −0.0311673 | − | 0.0129099i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.228324 | + | 0.551224i | 0.0159469 | + | 0.0384992i | ||||
\(206\) | 6.49359 | + | 12.8051i | 0.452430 | + | 0.892170i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.90008 | − | 1.59777i | 0.131747 | − | 0.110786i | ||||
\(209\) | − | 6.27633i | − | 0.434143i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.72147 | − | 11.3986i | −0.325040 | − | 0.784715i | −0.998946 | − | 0.0458984i | \(-0.985385\pi\) |
0.673906 | − | 0.738817i | \(-0.264615\pi\) | |||||||
\(212\) | −10.9515 | − | 18.0261i | −0.752155 | − | 1.23804i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.76952 | + | 1.51719i | 0.120962 | + | 0.103713i | ||||
\(215\) | 0.793693 | − | 0.793693i | 0.0541294 | − | 0.0541294i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.37266 | − | 1.37266i | −0.0931820 | − | 0.0931820i | ||||
\(218\) | 1.59715 | + | 20.8038i | 0.108173 | + | 1.40901i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.97064 | + | 0.767739i | −0.335121 | + | 0.0517609i | ||||
\(221\) | 3.27082 | − | 1.35482i | 0.220019 | − | 0.0911349i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.9899 | −0.936832 | −0.468416 | − | 0.883508i | \(-0.655175\pi\) | ||||
−0.468416 | + | 0.883508i | \(0.655175\pi\) | |||||||
\(224\) | −0.768287 | + | 0.753691i | −0.0513333 | + | 0.0503581i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.97092 | + | 6.02651i | −0.131104 | + | 0.400878i | ||||
\(227\) | −2.11043 | + | 0.874170i | −0.140074 | + | 0.0580207i | −0.451619 | − | 0.892211i | \(-0.649154\pi\) |
0.311545 | + | 0.950231i | \(0.399154\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.24245 | + | 7.82798i | −0.214267 | + | 0.517287i | −0.994070 | − | 0.108738i | \(-0.965319\pi\) |
0.779803 | + | 0.626025i | \(0.215319\pi\) | |||||||
\(230\) | −0.300372 | − | 3.91251i | −0.0198059 | − | 0.257983i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.07105 | − | 3.76856i | −0.398584 | − | 0.247418i | ||||
\(233\) | −7.83849 | + | 7.83849i | −0.513516 | + | 0.513516i | −0.915602 | − | 0.402086i | \(-0.868285\pi\) |
0.402086 | + | 0.915602i | \(0.368285\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.19755 | + | 0.910254i | 0.143352 | + | 0.0593784i | ||||
\(236\) | −21.1474 | + | 12.8478i | −1.37658 | + | 0.836324i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.36885 | + | 0.694160i | −0.0887294 | + | 0.0449957i | ||||
\(239\) | 8.50653i | 0.550242i | 0.961410 | + | 0.275121i | \(0.0887179\pi\) | ||||
−0.961410 | + | 0.275121i | \(0.911282\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 10.3310i | − | 0.665475i | −0.943019 | − | 0.332738i | \(-0.892028\pi\) | ||
0.943019 | − | 0.332738i | \(-0.107972\pi\) | |||||||
\(242\) | −10.4496 | − | 20.6061i | −0.671726 | − | 1.32461i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −19.9124 | − | 4.86141i | −1.27476 | − | 0.311220i | ||||
\(245\) | 3.09448 | + | 1.28177i | 0.197699 | + | 0.0818895i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.526813 | + | 0.526813i | −0.0335203 | + | 0.0335203i | ||||
\(248\) | −16.8284 | − | 23.4448i | −1.06860 | − | 1.48875i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.62520 | − | 0.508631i | 0.419015 | − | 0.0321686i | ||||
\(251\) | 0.371186 | − | 0.896122i | 0.0234291 | − | 0.0565627i | −0.911732 | − | 0.410785i | \(-0.865255\pi\) |
0.935161 | + | 0.354223i | \(0.115255\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 27.8666 | − | 11.5427i | 1.75196 | − | 0.725684i | ||||
\(254\) | −14.1855 | − | 4.63926i | −0.890079 | − | 0.291093i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.0870 | + | 9.20485i | −0.817940 | + | 0.575303i | ||||
\(257\) | 11.9183 | 0.743442 | 0.371721 | − | 0.928345i | \(-0.378768\pi\) | ||||
0.371721 | + | 0.928345i | \(0.378768\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.40392 | − | 0.581524i | 0.0872355 | − | 0.0361341i | ||||
\(260\) | 0.481660 | + | 0.352777i | 0.0298713 | + | 0.0218783i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 9.51212 | − | 0.730265i | 0.587661 | − | 0.0451159i | ||||
\(263\) | −0.627327 | − | 0.627327i | −0.0386827 | − | 0.0386827i | 0.687501 | − | 0.726184i | \(-0.258708\pi\) |
−0.726184 | + | 0.687501i | \(0.758708\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.58675 | − | 3.58675i | 0.220332 | − | 0.220332i | ||||
\(266\) | 0.210233 | − | 0.245197i | 0.0128902 | − | 0.0150340i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 10.0822 | + | 2.46146i | 0.615868 | + | 0.150358i | ||||
\(269\) | 1.22418 | + | 2.95542i | 0.0746393 | + | 0.180195i | 0.956795 | − | 0.290762i | \(-0.0939087\pi\) |
−0.882156 | + | 0.470957i | \(0.843909\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 26.7281i | 1.62362i | 0.583925 | + | 0.811808i | \(0.301516\pi\) | ||||
−0.583925 | + | 0.811808i | \(0.698484\pi\) | |||||||
\(272\) | −21.7537 | + | 6.88415i | −1.31901 | + | 0.417413i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −18.7196 | + | 9.49293i | −1.13089 | + | 0.573489i | ||||
\(275\) | 9.54142 | + | 23.0350i | 0.575369 | + | 1.38906i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −26.1483 | − | 10.8310i | −1.57110 | − | 0.650770i | −0.584126 | − | 0.811663i | \(-0.698563\pi\) |
−0.986972 | + | 0.160893i | \(0.948563\pi\) | |||||||
\(278\) | −10.6509 | − | 9.13208i | −0.638796 | − | 0.547706i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.219904 | − | 0.136504i | −0.0131418 | − | 0.00815767i | ||||
\(281\) | 13.5386 | + | 13.5386i | 0.807646 | + | 0.807646i | 0.984277 | − | 0.176631i | \(-0.0565201\pi\) |
−0.176631 | + | 0.984277i | \(0.556520\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.00203 | + | 9.66174i | −0.237896 | + | 0.574331i | −0.997065 | − | 0.0765624i | \(-0.975606\pi\) |
0.759169 | + | 0.650893i | \(0.225606\pi\) | |||||||
\(284\) | −1.86942 | − | 12.1033i | −0.110930 | − | 0.718202i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.42650 | + | 4.36184i | −0.0843508 | + | 0.257921i | ||||
\(287\) | −0.236007 | −0.0139311 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −15.5385 | −0.914029 | ||||||||
\(290\) | 0.534161 | − | 1.63331i | 0.0313670 | − | 0.0959114i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −17.1087 | + | 2.64251i | −1.00121 | + | 0.154641i | ||||
\(293\) | 11.0520 | − | 26.6818i | 0.645663 | − | 1.55877i | −0.173268 | − | 0.984875i | \(-0.555433\pi\) |
0.818930 | − | 0.573893i | \(-0.194567\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.20781 | − | 4.20781i | −0.244988 | − | 0.244988i | ||||
\(296\) | 21.9968 | − | 5.14727i | 1.27854 | − | 0.299179i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 11.3248 | + | 9.70990i | 0.656027 | + | 0.562480i | ||||
\(299\) | −3.30788 | − | 1.37017i | −0.191300 | − | 0.0792389i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.169911 | + | 0.410200i | 0.00979348 | + | 0.0236436i | ||||
\(302\) | 16.0314 | − | 8.12970i | 0.922501 | − | 0.467811i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.67501 | − | 3.09031i | 0.210776 | − | 0.177241i | ||||
\(305\) | − | 4.92937i | − | 0.282255i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.87747 | − | 23.8463i | −0.563737 | − | 1.36098i | −0.906757 | − | 0.421653i | \(-0.861450\pi\) |
0.343020 | − | 0.939328i | \(-0.388550\pi\) | |||||||
\(308\) | 0.471858 | − | 1.93274i | 0.0268866 | − | 0.110128i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.51749 | − | 5.26880i | 0.256576 | − | 0.299248i | ||||
\(311\) | −18.0382 | + | 18.0382i | −1.02285 | + | 1.02285i | −0.0231182 | + | 0.999733i | \(0.507359\pi\) |
−0.999733 | + | 0.0231182i | \(0.992641\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.4949 | + | 13.4949i | 0.762778 | + | 0.762778i | 0.976824 | − | 0.214046i | \(-0.0686643\pi\) |
−0.214046 | + | 0.976824i | \(0.568664\pi\) | |||||||
\(314\) | −31.8162 | + | 2.44260i | −1.79549 | + | 0.137844i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 14.1544 | − | 19.3256i | 0.796250 | − | 1.08715i | ||||
\(317\) | 9.96898 | − | 4.12929i | 0.559914 | − | 0.231924i | −0.0847339 | − | 0.996404i | \(-0.527004\pi\) |
0.644648 | + | 0.764480i | \(0.277004\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 13.2090 | 0.739564 | ||||||||
\(320\) | −2.89696 | − | 2.53247i | −0.161945 | − | 0.141569i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.47530 | + | 0.482483i | 0.0822151 | + | 0.0268877i | ||||
\(323\) | 6.32620 | − | 2.62040i | 0.351999 | − | 0.145803i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.13261 | − | 2.73435i | 0.0628257 | − | 0.151675i | ||||
\(326\) | 10.7532 | − | 0.825546i | 0.595565 | − | 0.0457228i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.46218 | − | 0.568795i | −0.191167 | − | 0.0314064i | ||||
\(329\) | −0.665305 | + | 0.665305i | −0.0366795 | + | 0.0366795i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.3038 | + | 4.68220i | 0.621314 | + | 0.257357i | 0.671058 | − | 0.741405i | \(-0.265840\pi\) |
−0.0497433 | + | 0.998762i | \(0.515840\pi\) | |||||||
\(332\) | 1.98311 | − | 8.12284i | 0.108837 | − | 0.445799i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.752734 | − | 1.48435i | −0.0411878 | − | 0.0812203i | ||||
\(335\) | 2.49587i | 0.136364i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.45068i | 0.0790237i | 0.999219 | + | 0.0395118i | \(0.0125803\pi\) | ||||
−0.999219 | + | 0.0395118i | \(0.987420\pi\) | |||||||
\(338\) | −15.9111 | + | 8.06870i | −0.865449 | + | 0.438879i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.84911 | − | 4.68960i | −0.154514 | − | 0.254329i | ||||
\(341\) | 49.2869 | + | 20.4153i | 2.66903 | + | 1.10555i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.87857 | + | 1.87857i | −0.101433 | + | 0.101433i | ||||
\(344\) | 1.50394 | + | 6.42704i | 0.0810869 | + | 0.346523i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.32321 | + | 17.2355i | 0.0711360 | + | 0.926586i | ||||
\(347\) | 4.88124 | − | 11.7844i | 0.262039 | − | 0.632618i | −0.737026 | − | 0.675865i | \(-0.763770\pi\) |
0.999064 | + | 0.0432472i | \(0.0137703\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.72369 | + | 3.19926i | −0.413440 | + | 0.171252i | −0.579701 | − | 0.814829i | \(-0.696831\pi\) |
0.166261 | + | 0.986082i | \(0.446831\pi\) | |||||||
\(350\) | −0.398829 | + | 1.21951i | −0.0213183 | + | 0.0651854i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 11.5801 | − | 27.2156i | 0.617221 | − | 1.45060i | ||||
\(353\) | −17.4309 | −0.927751 | −0.463875 | − | 0.885900i | \(-0.653541\pi\) | ||||
−0.463875 | + | 0.885900i | \(0.653541\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.72104 | − | 1.12709i | 0.144418 | − | 0.0598199i | ||||
\(356\) | 3.64364 | + | 23.5903i | 0.193112 | + | 1.25029i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.29691 | + | 16.8929i | 0.0685437 | + | 0.892820i | ||||
\(359\) | −4.53639 | − | 4.53639i | −0.239422 | − | 0.239422i | 0.577189 | − | 0.816611i | \(-0.304150\pi\) |
−0.816611 | + | 0.577189i | \(0.804150\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.4161 | − | 12.4161i | 0.653479 | − | 0.653479i | ||||
\(362\) | −5.34375 | − | 4.58175i | −0.280861 | − | 0.240811i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.201833 | + | 0.122621i | −0.0105789 | + | 0.00642710i | ||||
\(365\) | −1.59320 | − | 3.84632i | −0.0833919 | − | 0.201326i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 7.18068i | − | 0.374828i | −0.982281 | − | 0.187414i | \(-0.939989\pi\) | ||
0.982281 | − | 0.187414i | \(-0.0600106\pi\) | |||||||
\(368\) | 20.4795 | + | 10.6335i | 1.06757 | + | 0.554309i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.45719 | + | 4.84545i | 0.127743 | + | 0.251903i | ||||
\(371\) | 0.767836 | + | 1.85372i | 0.0398640 | + | 0.0962403i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.3497 | + | 5.94383i | 0.742998 | + | 0.307760i | 0.721881 | − | 0.692017i | \(-0.243278\pi\) |
0.0211168 | + | 0.999777i | \(0.493278\pi\) | |||||||
\(374\) | 27.4542 | − | 32.0201i | 1.41962 | − | 1.65572i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −11.3633 | + | 8.15645i | −0.586018 | + | 0.420637i | ||||
\(377\) | −1.10872 | − | 1.10872i | −0.0571020 | − | 0.0571020i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.45126 | − | 8.33209i | 0.177280 | − | 0.427991i | −0.810115 | − | 0.586272i | \(-0.800595\pi\) |
0.987394 | + | 0.158281i | \(0.0505951\pi\) | |||||||
\(380\) | 0.931594 | + | 0.682318i | 0.0477897 | + | 0.0350022i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −21.9288 | − | 7.17164i | −1.12198 | − | 0.366933i | ||||
\(383\) | 4.45958 | 0.227874 | 0.113937 | − | 0.993488i | \(-0.463654\pi\) | ||||
0.113937 | + | 0.993488i | \(0.463654\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.478454 | 0.0243843 | ||||||||
\(386\) | −4.33133 | − | 1.41652i | −0.220459 | − | 0.0720992i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −14.8736 | − | 10.8937i | −0.755095 | − | 0.553046i | ||||
\(389\) | −2.19268 | + | 5.29359i | −0.111173 | + | 0.268396i | −0.969668 | − | 0.244427i | \(-0.921400\pi\) |
0.858495 | + | 0.512823i | \(0.171400\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 23.2689 | + | 23.2689i | 1.17676 | + | 1.17676i | ||||
\(392\) | −16.0012 | + | 11.4855i | −0.808185 | + | 0.580105i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 21.1452 | − | 24.6619i | 1.06528 | − | 1.24245i | ||||
\(395\) | 5.32232 | + | 2.20458i | 0.267795 | + | 0.110924i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.25839 | + | 12.6949i | 0.263911 | + | 0.637137i | 0.999174 | − | 0.0406449i | \(-0.0129412\pi\) |
−0.735263 | + | 0.677782i | \(0.762941\pi\) | |||||||
\(398\) | 6.42531 | + | 12.6704i | 0.322072 | + | 0.635110i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.78984 | + | 16.9287i | −0.439492 | + | 0.846435i | ||||
\(401\) | − | 22.6945i | − | 1.13331i | −0.823955 | − | 0.566655i | \(-0.808237\pi\) | ||
0.823955 | − | 0.566655i | \(-0.191763\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.42338 | − | 5.85055i | −0.120717 | − | 0.291437i | ||||
\(404\) | −5.70908 | + | 3.46848i | −0.284037 | + | 0.172563i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.516036 | + | 0.442451i | 0.0256104 | + | 0.0219585i | ||||
\(407\) | −29.5292 | + | 29.5292i | −1.46371 | + | 1.46371i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.9178 | − | 18.9178i | −0.935424 | − | 0.935424i | 0.0626139 | − | 0.998038i | \(-0.480056\pi\) |
−0.998038 | + | 0.0626139i | \(0.980056\pi\) | |||||||
\(410\) | −0.0645885 | − | 0.841302i | −0.00318980 | − | 0.0415489i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.09937 | − | 20.0665i | −0.152695 | − | 0.988608i | ||||
\(413\) | 2.17470 | − | 0.900790i | 0.107010 | − | 0.0443250i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.01083 | 0.0987077 | ||||||||
\(416\) | −3.25638 | + | 1.31239i | −0.159657 | + | 0.0643454i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.75904 | + | 8.43637i | −0.134949 | + | 0.412636i | ||||
\(419\) | 20.8524 | − | 8.63734i | 1.01871 | − | 0.421962i | 0.190082 | − | 0.981768i | \(-0.439125\pi\) |
0.828623 | + | 0.559807i | \(0.189125\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.3106 | + | 34.5489i | −0.697456 | + | 1.68381i | 0.0317327 | + | 0.999496i | \(0.489897\pi\) |
−0.729189 | + | 0.684312i | \(0.760103\pi\) | |||||||
\(422\) | 1.33561 | + | 17.3971i | 0.0650166 | + | 0.846877i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.79639 | + | 29.0442i | 0.330062 | + | 1.41051i | ||||
\(425\) | −19.2345 | + | 19.2345i | −0.933008 | + | 0.933008i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.80144 | + | 0.746181i | 0.0871777 | + | 0.0361102i | ||||
\(428\) | −1.71156 | − | 2.81721i | −0.0827314 | − | 0.136175i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.41575 | + | 0.717944i | −0.0682736 | + | 0.0346224i | ||||
\(431\) | − | 38.4560i | − | 1.85236i | −0.377080 | − | 0.926181i | \(-0.623072\pi\) | ||
0.377080 | − | 0.926181i | \(-0.376928\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.55433i | 0.411095i | 0.978647 | + | 0.205547i | \(0.0658975\pi\) | ||||
−0.978647 | + | 0.205547i | \(0.934102\pi\) | |||||||
\(434\) | 1.24165 | + | 2.44848i | 0.0596012 | + | 0.117531i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.99841 | − | 28.6656i | 0.335163 | − | 1.37283i | ||||
\(437\) | −6.39787 | − | 2.65009i | −0.306052 | − | 0.126771i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.13653 | − | 5.13653i | 0.245153 | − | 0.245153i | −0.573825 | − | 0.818978i | \(-0.694541\pi\) |
0.818978 | + | 0.573825i | \(0.194541\pi\) | |||||||
\(440\) | 7.01881 | + | 1.15311i | 0.334609 | + | 0.0549723i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.99207 | + | 0.383252i | −0.237448 | + | 0.0182294i | ||||
\(443\) | −2.45339 | + | 5.92301i | −0.116564 | + | 0.281411i | −0.971384 | − | 0.237514i | \(-0.923667\pi\) |
0.854820 | + | 0.518925i | \(0.173667\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.30352 | + | 2.19679i | −0.251411 | + | 0.104138i | ||||
\(446\) | 18.8046 | + | 6.14988i | 0.890423 | + | 0.291205i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.36402 | − | 0.675343i | 0.0644437 | − | 0.0319070i | ||||
\(449\) | −23.7582 | −1.12122 | −0.560610 | − | 0.828080i | \(-0.689433\pi\) | ||||
−0.560610 | + | 0.828080i | \(0.689433\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.99211 | − | 2.48201i | 0.282157 | − | 0.116873i | ||||
\(452\) | 5.29845 | − | 7.23417i | 0.249218 | − | 0.340267i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.22103 | − | 0.247286i | 0.151171 | − | 0.0116057i | ||||
\(455\) | −0.0401598 | − | 0.0401598i | −0.00188272 | − | 0.00188272i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.16506 | + | 1.16506i | −0.0544992 | + | 0.0544992i | −0.733831 | − | 0.679332i | \(-0.762270\pi\) |
0.679332 | + | 0.733831i | \(0.262270\pi\) | |||||||
\(458\) | 7.79950 | − | 9.09666i | 0.364447 | − | 0.425059i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.31617 | + | 5.39107i | −0.0613669 | + | 0.251360i | ||||
\(461\) | −1.61683 | − | 3.90337i | −0.0753032 | − | 0.181798i | 0.881745 | − | 0.471726i | \(-0.156369\pi\) |
−0.957049 | + | 0.289928i | \(0.906369\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.11687i | 0.144853i | 0.997374 | + | 0.0724267i | \(0.0230743\pi\) | ||||
−0.997374 | + | 0.0724267i | \(0.976926\pi\) | |||||||
\(464\) | 6.50380 | + | 7.73434i | 0.301931 | + | 0.359058i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 13.9819 | − | 7.09039i | 0.647699 | − | 0.328456i | ||||
\(467\) | −7.59921 | − | 18.3461i | −0.351649 | − | 0.848957i | −0.996417 | − | 0.0845781i | \(-0.973046\pi\) |
0.644767 | − | 0.764379i | \(-0.276954\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.912117 | − | 0.377811i | −0.0421176 | − | 0.0174457i | ||||
\(470\) | −2.55370 | − | 2.18955i | −0.117794 | − | 0.100997i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 34.0733 | − | 7.97321i | 1.56835 | − | 0.366997i | ||||
\(473\) | −8.62788 | − | 8.62788i | −0.396711 | − | 0.396711i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.19061 | − | 5.28860i | 0.100512 | − | 0.242658i | ||||
\(476\) | 2.14510 | − | 0.331320i | 0.0983204 | − | 0.0151860i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.73943 | − | 11.4341i | 0.171037 | − | 0.522984i | ||||
\(479\) | −14.5634 | −0.665418 | −0.332709 | − | 0.943030i | \(-0.607963\pi\) | ||||
−0.332709 | + | 0.943030i | \(0.607963\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.95716 | 0.226027 | ||||||||
\(482\) | −4.54144 | + | 13.8864i | −0.206857 | + | 0.632509i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.98756 | + | 32.2914i | 0.226707 | + | 1.46779i | ||||
\(485\) | 1.69672 | − | 4.09624i | 0.0770440 | − | 0.186001i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.0901 | + | 12.0901i | 0.547856 | + | 0.547856i | 0.925820 | − | 0.377964i | \(-0.123376\pi\) |
−0.377964 | + | 0.925820i | \(0.623376\pi\) | |||||||
\(488\) | 24.6284 | + | 15.2879i | 1.11487 | + | 0.692051i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.59600 | − | 3.08322i | −0.162451 | − | 0.139286i | ||||
\(491\) | −20.2368 | − | 8.38236i | −0.913274 | − | 0.378290i | −0.123965 | − | 0.992287i | \(-0.539561\pi\) |
−0.789309 | + | 0.613996i | \(0.789561\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.51483 | + | 13.3140i | 0.248376 | + | 0.599632i | ||||
\(494\) | 0.939704 | − | 0.476535i | 0.0422793 | − | 0.0214403i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.3138 | + | 38.9111i | 0.552904 | + | 1.74716i | ||||
\(497\) | 1.16502i | 0.0522583i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.26197 | − | 7.87508i | −0.146026 | − | 0.352537i | 0.833896 | − | 0.551922i | \(-0.186106\pi\) |
−0.979921 | + | 0.199385i | \(0.936106\pi\) | |||||||
\(500\) | −9.12890 | − | 2.22873i | −0.408257 | − | 0.0996716i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.892863 | + | 1.04136i | −0.0398504 | + | 0.0464780i | ||||
\(503\) | 12.2760 | − | 12.2760i | 0.547362 | − | 0.547362i | −0.378315 | − | 0.925677i | \(-0.623496\pi\) |
0.925677 | + | 0.378315i | \(0.123496\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.13596 | − | 1.13596i | −0.0505497 | − | 0.0505497i | ||||
\(506\) | −42.5311 | + | 3.26521i | −1.89074 | + | 0.145156i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 17.0282 | + | 12.4718i | 0.755503 | + | 0.553345i | ||||
\(509\) | 0.842977 | − | 0.349172i | 0.0373643 | − | 0.0154768i | −0.363923 | − | 0.931429i | \(-0.618563\pi\) |
0.401287 | + | 0.915952i | \(0.368563\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.64681 | 0.0728506 | ||||||||
\(512\) | 21.6374 | − | 6.61976i | 0.956249 | − | 0.292555i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −16.0200 | − | 5.23922i | −0.706613 | − | 0.231092i | ||||
\(515\) | 4.51131 | − | 1.86865i | 0.198792 | − | 0.0823424i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.89496 | − | 23.8886i | 0.435180 | − | 1.05062i | ||||
\(518\) | −2.14273 | + | 0.164502i | −0.0941460 | + | 0.00722779i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.492347 | − | 0.685923i | −0.0215908 | − | 0.0300797i | ||||
\(521\) | −4.87761 | + | 4.87761i | −0.213692 | + | 0.213692i | −0.805834 | − | 0.592142i | \(-0.798283\pi\) |
0.592142 | + | 0.805834i | \(0.298283\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.5648 | − | 8.51821i | −0.899235 | − | 0.372475i | −0.115309 | − | 0.993330i | \(-0.536786\pi\) |
−0.783926 | + | 0.620854i | \(0.786786\pi\) | |||||||
\(524\) | −13.1068 | − | 3.19989i | −0.572573 | − | 0.139788i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.567456 | + | 1.11900i | 0.0247423 | + | 0.0487905i | ||||
\(527\) | 58.2020i | 2.53532i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 10.2800i | − | 0.446955i | ||||||
\(530\) | −6.39787 | + | 3.24443i | −0.277906 | + | 0.140929i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.390373 | + | 0.237166i | −0.0169248 | + | 0.0102824i | ||||
\(533\) | −0.711288 | − | 0.294625i | −0.0308093 | − | 0.0127616i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.560554 | − | 0.560554i | 0.0242349 | − | 0.0242349i | ||||
\(536\) | −12.4700 | − | 7.74067i | −0.538622 | − | 0.334346i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.346295 | − | 4.51069i | −0.0149298 | − | 0.194470i | ||||
\(539\) | 13.9336 | − | 33.6387i | 0.600162 | − | 1.44892i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.72081 | + | 3.61228i | −0.374937 | + | 0.155304i | −0.562191 | − | 0.827008i | \(-0.690041\pi\) |
0.187254 | + | 0.982312i | \(0.440041\pi\) | |||||||
\(542\) | 11.7495 | − | 35.9267i | 0.504686 | − | 1.54319i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 32.2666 | + | 0.309444i | 1.38342 | + | 0.0132673i | ||||
\(545\) | 7.09624 | 0.303969 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.50970 | − | 1.45377i | 0.150064 | − | 0.0621586i | −0.306387 | − | 0.951907i | \(-0.599120\pi\) |
0.456451 | + | 0.889748i | \(0.349120\pi\) | |||||||
\(548\) | 29.3351 | − | 4.53094i | 1.25313 | − | 0.193552i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.69908 | − | 35.1570i | −0.115089 | − | 1.49910i | ||||
\(551\) | −2.14441 | − | 2.14441i | −0.0913550 | − | 0.0913550i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.61133 | + | 1.61133i | −0.0685206 | + | 0.0685206i | ||||
\(554\) | 30.3861 | + | 26.0532i | 1.29098 | + | 1.10689i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.3020 | + | 16.9570i | 0.436902 | + | 0.719138i | ||||
\(557\) | 11.0388 | + | 26.6499i | 0.467727 | + | 1.12919i | 0.965153 | + | 0.261687i | \(0.0842788\pi\) |
−0.497425 | + | 0.867507i | \(0.665721\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.44839i | 0.0612603i | ||||||||
\(560\) | 0.235579 | + | 0.280151i | 0.00995502 | + | 0.0118386i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.2465 | − | 24.1495i | −0.516588 | − | 1.01869i | ||||
\(563\) | 0.499373 | + | 1.20559i | 0.0210461 | + | 0.0508097i | 0.934053 | − | 0.357134i | \(-0.116246\pi\) |
−0.913007 | + | 0.407944i | \(0.866246\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.99231 | + | 0.825242i | 0.0838171 | + | 0.0347182i | ||||
\(566\) | 9.62660 | − | 11.2276i | 0.404636 | − | 0.471932i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.80778 | + | 17.0906i | −0.117812 | + | 0.717105i | ||||
\(569\) | −24.7043 | − | 24.7043i | −1.03566 | − | 1.03566i | −0.999340 | − | 0.0363184i | \(-0.988437\pi\) |
−0.0363184 | − | 0.999340i | \(-0.511563\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.4201 | − | 29.9848i | 0.519765 | − | 1.25482i | −0.418282 | − | 0.908317i | \(-0.637368\pi\) |
0.938047 | − | 0.346507i | \(-0.112632\pi\) | |||||||
\(572\) | 3.83488 | − | 5.23591i | 0.160344 | − | 0.218924i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.317231 | + | 0.103748i | 0.0132410 | + | 0.00433034i | ||||
\(575\) | 27.5098 | 1.14724 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −38.7977 | −1.61517 | −0.807585 | − | 0.589752i | \(-0.799226\pi\) | ||||
−0.807585 | + | 0.589752i | \(0.799226\pi\) | |||||||
\(578\) | 20.8862 | + | 6.83064i | 0.868750 | + | 0.284117i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.43599 | + | 1.96061i | −0.0596263 | + | 0.0814100i | ||||
\(581\) | −0.304388 | + | 0.734858i | −0.0126281 | + | 0.0304870i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −38.9899 | − | 38.9899i | −1.61480 | − | 1.61480i | ||||
\(584\) | 24.1583 | + | 3.96893i | 0.999679 | + | 0.164236i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.5848 | + | 31.0061i | −1.09821 | + | 1.28085i | ||||
\(587\) | 32.3256 | + | 13.3897i | 1.33422 | + | 0.552652i | 0.931856 | − | 0.362828i | \(-0.118189\pi\) |
0.402363 | + | 0.915480i | \(0.368189\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.68714 | − | 11.3157i | −0.193130 | − | 0.466257i | ||||
\(590\) | 3.80622 | + | 7.50568i | 0.156700 | + | 0.309004i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −31.8298 | − | 2.75092i | −1.30820 | − | 0.113062i | ||||
\(593\) | 25.8554i | 1.06176i | 0.847448 | + | 0.530878i | \(0.178138\pi\) | ||||
−0.847448 | + | 0.530878i | \(0.821862\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.199757 | + | 0.482256i | 0.00818923 | + | 0.0197706i | ||||
\(596\) | −10.9539 | − | 18.0299i | −0.448687 | − | 0.738535i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.84399 | + | 3.29585i | 0.157192 | + | 0.134777i | ||||
\(599\) | 27.4466 | − | 27.4466i | 1.12144 | − | 1.12144i | 0.129914 | − | 0.991525i | \(-0.458530\pi\) |
0.991525 | − | 0.129914i | \(-0.0414701\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.2120 | − | 17.2120i | −0.702091 | − | 0.702091i | 0.262768 | − | 0.964859i | \(-0.415365\pi\) |
−0.964859 | + | 0.262768i | \(0.915365\pi\) | |||||||
\(602\) | −0.0480644 | − | 0.626065i | −0.00195896 | − | 0.0255165i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −25.1224 | + | 3.88028i | −1.02222 | + | 0.157886i | ||||
\(605\) | −7.25968 | + | 3.00706i | −0.295148 | + | 0.122254i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −35.6136 | −1.44551 | −0.722756 | − | 0.691103i | \(-0.757125\pi\) | ||||
−0.722756 | + | 0.691103i | \(0.757125\pi\) | |||||||
\(608\) | −6.29827 | + | 2.53834i | −0.255428 | + | 0.102943i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.16693 | + | 6.62584i | −0.0877362 | + | 0.268273i | ||||
\(611\) | −2.83567 | + | 1.17457i | −0.114719 | + | 0.0475181i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.20887 | − | 17.4038i | 0.291164 | − | 0.702931i | −0.708833 | − | 0.705376i | \(-0.750778\pi\) |
0.999997 | + | 0.00244484i | \(0.000778219\pi\) | |||||||
\(614\) | 2.79414 | + | 36.3953i | 0.112762 | + | 1.46879i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.48387 | + | 2.39048i | −0.0597869 | + | 0.0963150i | ||||
\(617\) | −12.8299 | + | 12.8299i | −0.516511 | + | 0.516511i | −0.916514 | − | 0.400003i | \(-0.869009\pi\) |
0.400003 | + | 0.916514i | \(0.369009\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.1156 | + | 5.01844i | 0.486966 | + | 0.201708i | 0.612638 | − | 0.790364i | \(-0.290108\pi\) |
−0.125671 | + | 0.992072i | \(0.540108\pi\) | |||||||
\(620\) | −8.38835 | + | 5.09623i | −0.336884 | + | 0.204669i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 32.1756 | − | 16.3166i | 1.29012 | − | 0.654237i | ||||
\(623\) | − | 2.27071i | − | 0.0909741i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.5834i | 0.863337i | ||||||||
\(626\) | −12.2070 | − | 24.0716i | −0.487889 | − | 0.962093i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 43.8397 | + | 10.7030i | 1.74939 | + | 0.427096i | ||||
\(629\) | −42.0924 | − | 17.4352i | −1.67833 | − | 0.695189i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.99914 | + | 9.99914i | −0.398059 | + | 0.398059i | −0.877548 | − | 0.479489i | \(-0.840822\pi\) |
0.479489 | + | 0.877548i | \(0.340822\pi\) | |||||||
\(632\) | −27.5212 | + | 19.7544i | −1.09474 | + | 0.785788i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −15.2151 | + | 1.16809i | −0.604268 | + | 0.0463910i | ||||
\(635\) | −1.94250 | + | 4.68960i | −0.0770857 | + | 0.186101i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.99305 | + | 1.65397i | −0.158210 | + | 0.0655329i | ||||
\(638\) | −17.7550 | − | 5.80662i | −0.702927 | − | 0.229886i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.78070 | + | 4.67752i | 0.109917 | + | 0.184895i | ||||
\(641\) | −28.5513 | −1.12771 | −0.563854 | − | 0.825875i | \(-0.690682\pi\) | ||||
−0.563854 | + | 0.825875i | \(0.690682\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −5.76614 | + | 2.38841i | −0.227394 | + | 0.0941898i | −0.493472 | − | 0.869762i | \(-0.664272\pi\) |
0.266077 | + | 0.963952i | \(0.414272\pi\) | |||||||
\(644\) | −1.77093 | − | 1.29707i | −0.0697845 | − | 0.0511115i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.65532 | + | 0.741259i | −0.379883 | + | 0.0291645i | ||||
\(647\) | 0.783090 | + | 0.783090i | 0.0307864 | + | 0.0307864i | 0.722332 | − | 0.691546i | \(-0.243070\pi\) |
−0.691546 | + | 0.722332i | \(0.743070\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −45.7412 | + | 45.7412i | −1.79550 | + | 1.79550i | ||||
\(650\) | −2.72441 | + | 3.17751i | −0.106860 | + | 0.124632i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −14.8169 | − | 3.61739i | −0.580274 | − | 0.141668i | ||||
\(653\) | 3.54194 | + | 8.55101i | 0.138607 | + | 0.334627i | 0.977907 | − | 0.209042i | \(-0.0670346\pi\) |
−0.839300 | + | 0.543669i | \(0.817035\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 3.24462i | − | 0.126778i | ||||||
\(656\) | 4.40367 | + | 2.28650i | 0.171934 | + | 0.0892730i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.18674 | − | 0.601809i | 0.0462639 | − | 0.0234610i | ||||
\(659\) | −17.7016 | − | 42.7355i | −0.689557 | − | 1.66474i | −0.745673 | − | 0.666313i | \(-0.767872\pi\) |
0.0561160 | − | 0.998424i | \(-0.482128\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.187232 | − | 0.0775542i | −0.00728249 | − | 0.00301651i | 0.379039 | − | 0.925381i | \(-0.376255\pi\) |
−0.386322 | + | 0.922364i | \(0.626255\pi\) | |||||||
\(662\) | −13.1358 | − | 11.2627i | −0.510539 | − | 0.437738i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.23636 | + | 10.0466i | −0.242018 | + | 0.389884i | ||||
\(665\) | −0.0776743 | − | 0.0776743i | −0.00301208 | − | 0.00301208i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.57731 | − | 13.4648i | 0.215954 | − | 0.521360i | ||||
\(668\) | 0.359277 | + | 2.32610i | 0.0139009 | + | 0.0899996i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.09717 | − | 3.35484i | 0.0423875 | − | 0.129609i | ||||
\(671\) | −53.5850 | −2.06862 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 48.7073 | 1.87753 | 0.938765 | − | 0.344558i | \(-0.111971\pi\) | ||||
0.938765 | + | 0.344558i | \(0.111971\pi\) | |||||||
\(674\) | 0.637712 | − | 1.94994i | 0.0245638 | − | 0.0751090i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 24.9339 | − | 3.85116i | 0.958998 | − | 0.148122i | ||||
\(677\) | −10.9016 | + | 26.3188i | −0.418982 | + | 1.01151i | 0.563661 | + | 0.826006i | \(0.309393\pi\) |
−0.982643 | + | 0.185506i | \(0.940607\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.24013 | + | 1.24013i | 0.0475919 | + | 0.0475919i | ||||
\(680\) | 1.76812 | + | 7.55601i | 0.0678042 | + | 0.289760i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −57.2748 | − | 49.1076i | −2.19316 | − | 1.88043i | ||||
\(683\) | −16.7740 | − | 6.94800i | −0.641838 | − | 0.265858i | 0.0379356 | − | 0.999280i | \(-0.487922\pi\) |
−0.679773 | + | 0.733422i | \(0.737922\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.73176 | + | 6.59504i | 0.104375 | + | 0.251984i | ||||
\(686\) | 3.35090 | − | 1.69928i | 0.127938 | − | 0.0648788i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.803768 | − | 9.30008i | 0.0306434 | − | 0.354562i | ||||
\(689\) | 6.54536i | 0.249358i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.5044 | + | 42.2593i | 0.665898 | + | 1.60762i | 0.788407 | + | 0.615154i | \(0.210906\pi\) |
−0.122509 | + | 0.992467i | \(0.539094\pi\) | |||||||
\(692\) | 5.79804 | − | 23.7489i | 0.220408 | − | 0.902797i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.7415 | + | 13.6943i | −0.445701 | + | 0.519827i | ||||
\(695\) | −3.37402 | + | 3.37402i | −0.127984 | + | 0.127984i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.00347 | + | 5.00347i | 0.189520 | + | 0.189520i | ||||
\(698\) | 11.7882 | − | 0.905007i | 0.446191 | − | 0.0342550i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.07218 | − | 1.46388i | 0.0405245 | − | 0.0553296i | ||||
\(701\) | 9.76630 | − | 4.04533i | 0.368868 | − | 0.152790i | −0.190547 | − | 0.981678i | \(-0.561026\pi\) |
0.559414 | + | 0.828888i | \(0.311026\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.58780 | 0.361611 | ||||||||
\(704\) | −27.5293 | + | 31.4915i | −1.03755 | + | 1.18688i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 23.4298 | + | 7.66251i | 0.881792 | + | 0.288383i | ||||
\(707\) | 0.587094 | − | 0.243182i | 0.0220799 | − | 0.00914581i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.23164 | + | 5.38765i | −0.0838109 | + | 0.202337i | −0.960229 | − | 0.279213i | \(-0.909926\pi\) |
0.876418 | + | 0.481551i | \(0.159926\pi\) | |||||||
\(710\) | −4.15297 | + | 0.318833i | −0.155858 | + | 0.0119656i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 5.47258 | − | 33.3108i | 0.205093 | − | 1.24838i | ||||
\(713\) | 41.6213 | − | 41.6213i | 1.55873 | − | 1.55873i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.44198 | + | 0.597289i | 0.0539271 | + | 0.0223373i | ||||
\(716\) | 5.68281 | − | 23.2769i | 0.212376 | − | 0.869898i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 4.10344 | + | 8.09179i | 0.153139 | + | 0.301983i | ||||
\(719\) | 12.8188i | 0.478059i | 0.971012 | + | 0.239030i | \(0.0768293\pi\) | ||||
−0.971012 | + | 0.239030i | \(0.923171\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.93152i | 0.0719337i | ||||||||
\(722\) | −22.1472 | + | 11.2311i | −0.824235 | + | 0.417979i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.16872 | + | 8.50767i | 0.192094 | + | 0.316185i | ||||
\(725\) | 11.1303 | + | 4.61031i | 0.413368 | + | 0.171223i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 22.1336 | − | 22.1336i | 0.820889 | − | 0.820889i | −0.165347 | − | 0.986235i | \(-0.552874\pi\) |
0.986235 | + | 0.165347i | \(0.0528743\pi\) | |||||||
\(728\) | 0.325199 | − | 0.0760971i | 0.0120527 | − | 0.00282035i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.450685 | + | 5.87042i | 0.0166806 | + | 0.217274i | ||||
\(731\) | 5.09426 | − | 12.2986i | 0.188418 | − | 0.454881i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.7464 | + | 7.35081i | −0.655479 | + | 0.271508i | −0.685535 | − | 0.728040i | \(-0.740432\pi\) |
0.0300555 | + | 0.999548i | \(0.490432\pi\) | |||||||
\(734\) | −3.15659 | + | 9.65195i | −0.116512 | + | 0.356260i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −22.8532 | − | 23.2957i | −0.842379 | − | 0.858692i | ||||
\(737\) | 27.1315 | 0.999402 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.4272 | − | 8.46123i | 0.751428 | − | 0.311251i | 0.0261037 | − | 0.999659i | \(-0.491690\pi\) |
0.725324 | + | 0.688408i | \(0.241690\pi\) | |||||||
\(740\) | −1.17281 | − | 7.59321i | −0.0431132 | − | 0.279132i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.217206 | − | 2.82923i | −0.00797387 | − | 0.103864i | ||||
\(743\) | 26.6427 | + | 26.6427i | 0.977427 | + | 0.977427i | 0.999751 | − | 0.0223237i | \(-0.00710644\pi\) |
−0.0223237 | + | 0.999751i | \(0.507106\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.58750 | − | 3.58750i | 0.131436 | − | 0.131436i | ||||
\(746\) | −16.6753 | − | 14.2975i | −0.610527 | − | 0.523468i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −50.9786 | + | 30.9714i | −1.86396 | + | 1.13243i | ||||
\(749\) | 0.120001 | + | 0.289708i | 0.00438474 | + | 0.0105857i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 23.4989i | − | 0.857486i | −0.903427 | − | 0.428743i | \(-0.858957\pi\) | ||
0.903427 | − | 0.428743i | \(-0.141043\pi\) | |||||||
\(752\) | 18.8596 | − | 5.96829i | 0.687739 | − | 0.217641i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.00291 | + | 1.97768i | 0.0365237 | + | 0.0720229i | ||||
\(755\) | −2.33946 | − | 5.64796i | −0.0851418 | − | 0.205550i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 39.9311 | + | 16.5400i | 1.45132 | + | 0.601157i | 0.962513 | − | 0.271234i | \(-0.0874317\pi\) |
0.488809 | + | 0.872391i | \(0.337432\pi\) | |||||||
\(758\) | −8.30178 | + | 9.68247i | −0.301534 | + | 0.351683i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.952264 | − | 1.32667i | −0.0345423 | − | 0.0481232i | ||||
\(761\) | −33.7925 | − | 33.7925i | −1.22498 | − | 1.22498i | −0.965841 | − | 0.259134i | \(-0.916563\pi\) |
−0.259134 | − | 0.965841i | \(-0.583437\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.07419 | + | 2.59332i | −0.0388883 | + | 0.0938845i | ||||
\(764\) | 26.3232 | + | 19.2796i | 0.952338 | + | 0.697511i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.99437 | − | 1.96041i | −0.216585 | − | 0.0708324i | ||||
\(767\) | 7.67871 | 0.277262 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.1545 | −0.798913 | −0.399457 | − | 0.916752i | \(-0.630801\pi\) | ||||
−0.399457 | + | 0.916752i | \(0.630801\pi\) | |||||||
\(770\) | −0.643117 | − | 0.210326i | −0.0231763 | − | 0.00757962i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.19929 | + | 3.80806i | 0.187126 | + | 0.137055i | ||||
\(773\) | −4.56113 | + | 11.0116i | −0.164053 | + | 0.396058i | −0.984433 | − | 0.175760i | \(-0.943762\pi\) |
0.820380 | + | 0.571818i | \(0.193762\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 34.4049 | + | 34.4049i | 1.23586 | + | 1.23586i | ||||
\(776\) | 15.2037 | + | 21.1813i | 0.545780 | + | 0.760364i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.27434 | − | 6.15152i | 0.189094 | − | 0.220543i | ||||
\(779\) | −1.37573 | − | 0.569844i | −0.0492905 | − | 0.0204168i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.2521 | − | 29.5793i | −0.438416 | − | 1.05843i | ||||
\(782\) | −21.0481 | − | 41.5059i | −0.752679 | − | 1.48425i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 26.5571 | − | 8.40424i | 0.948469 | − | 0.300151i | ||||
\(785\) | 10.8526i | 0.387347i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 14.4233 | + | 34.8210i | 0.514137 | + | 1.24124i | 0.941456 | + | 0.337135i | \(0.109458\pi\) |
−0.427320 | + | 0.904101i | \(0.640542\pi\) | |||||||
\(788\) | −39.2636 | + | 23.8541i | −1.39871 | + | 0.849767i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −6.18491 | − | 5.30296i | −0.220049 | − | 0.188671i | ||||
\(791\) | −0.603170 | + | 0.603170i | −0.0214462 | + | 0.0214462i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.49773 | + | 4.49773i | 0.159719 | + | 0.159719i | ||||
\(794\) | −1.48749 | − | 19.3755i | −0.0527892 | − | 0.687609i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.06678 | − | 19.8555i | −0.108699 | − | 0.703761i | ||||
\(797\) | −5.47061 | + | 2.26600i | −0.193779 | + | 0.0802659i | −0.477463 | − | 0.878652i | \(-0.658443\pi\) |
0.283684 | + | 0.958918i | \(0.408443\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 28.2096 | 0.997983 | ||||||||
\(800\) | 19.2567 | − | 18.8908i | 0.680827 | − | 0.667892i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −9.97639 | + | 30.5050i | −0.352279 | + | 1.07717i | ||||
\(803\) | −41.8117 | + | 17.3190i | −1.47550 | + | 0.611173i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.202020 | − | 0.487719i | 0.00712027 | − | 0.0171899i | ||||
\(806\) | 0.685526 | + | 8.92936i | 0.0241466 | + | 0.314523i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 9.19862 | − | 2.15249i | 0.323606 | − | 0.0757244i | ||||
\(809\) | 20.7326 | − | 20.7326i | 0.728920 | − | 0.728920i | −0.241485 | − | 0.970405i | \(-0.577634\pi\) |
0.970405 | + | 0.241485i | \(0.0776344\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −37.2071 | − | 15.4117i | −1.30652 | − | 0.541177i | −0.382651 | − | 0.923893i | \(-0.624989\pi\) |
−0.923866 | + | 0.382716i | \(0.874989\pi\) | |||||||
\(812\) | −0.499134 | − | 0.821570i | −0.0175162 | − | 0.0288314i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 52.6727 | − | 26.7110i | 1.84618 | − | 0.936219i | ||||
\(815\) | − | 3.66796i | − | 0.128483i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.80138i | 0.0980077i | ||||||||
\(818\) | 17.1123 | + | 33.7446i | 0.598317 | + | 1.17985i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.283015 | + | 1.15923i | −0.00988331 | + | 0.0404822i | ||||
\(821\) | 29.1884 | + | 12.0902i | 1.01868 | + | 0.421952i | 0.828615 | − | 0.559820i | \(-0.189130\pi\) |
0.190067 | + | 0.981771i | \(0.439130\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.31937 | + | 3.31937i | −0.115706 | + | 0.115706i | −0.762589 | − | 0.646883i | \(-0.776072\pi\) |
0.646883 | + | 0.762589i | \(0.276072\pi\) | |||||||
\(824\) | −4.65511 | + | 28.3350i | −0.162169 | + | 0.987098i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.31912 | + | 0.254816i | −0.115487 | + | 0.00886617i | ||||
\(827\) | −2.47114 | + | 5.96586i | −0.0859300 | + | 0.207453i | −0.961003 | − | 0.276537i | \(-0.910813\pi\) |
0.875073 | + | 0.483991i | \(0.160813\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −0.339967 | + | 0.140819i | −0.0118075 | + | 0.00489085i | −0.388579 | − | 0.921415i | \(-0.627034\pi\) |
0.376772 | + | 0.926306i | \(0.377034\pi\) | |||||||
\(830\) | −2.70287 | − | 0.883950i | −0.0938179 | − | 0.0306823i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 4.95400 | − | 0.332575i | 0.171749 | − | 0.0115299i | ||||
\(833\) | 39.7233 | 1.37633 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.522948 | + | 0.216612i | −0.0180974 | + | 0.00749618i | ||||
\(836\) | 7.41717 | − | 10.1269i | 0.256528 | − | 0.350247i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −31.8258 | + | 2.44333i | −1.09940 | + | 0.0844036i | ||||
\(839\) | 32.9364 | + | 32.9364i | 1.13709 | + | 1.13709i | 0.988969 | + | 0.148122i | \(0.0473227\pi\) |
0.148122 | + | 0.988969i | \(0.452677\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −15.9930 | + | 15.9930i | −0.551483 | + | 0.551483i | ||||
\(842\) | 34.4232 | − | 40.1482i | 1.18630 | − | 1.38360i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.85240 | − | 23.9715i | 0.201448 | − | 0.825135i | ||||
\(845\) | 2.32191 | + | 5.60559i | 0.0798761 | + | 0.192838i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 3.10824i | − | 0.106801i | ||||||
\(848\) | 3.63228 | − | 42.0276i | 0.124733 | − | 1.44323i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 34.3095 | − | 17.3988i | 1.17681 | − | 0.596772i | ||||
\(851\) | 17.6328 | + | 42.5693i | 0.604444 | + | 1.45926i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.43815 | + | 1.00992i | 0.0834808 | + | 0.0345789i | 0.424033 | − | 0.905647i | \(-0.360614\pi\) |
−0.340552 | + | 0.940226i | \(0.610614\pi\) | |||||||
\(854\) | −2.09340 | − | 1.79489i | −0.0716346 | − | 0.0614198i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.06217 | + | 4.53917i | 0.0363043 | + | 0.155146i | ||||
\(857\) | 31.8225 | + | 31.8225i | 1.08704 | + | 1.08704i | 0.995832 | + | 0.0912053i | \(0.0290720\pi\) |
0.0912053 | + | 0.995832i | \(0.470928\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 11.6288 | − | 28.0745i | 0.396771 | − | 0.957890i | −0.591656 | − | 0.806191i | \(-0.701526\pi\) |
0.988427 | − | 0.151699i | \(-0.0484744\pi\) | |||||||
\(860\) | 2.21860 | − | 0.342672i | 0.0756535 | − | 0.0116850i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.9051 | + | 51.6909i | −0.575789 | + | 1.76060i | ||||
\(863\) | −18.9524 | −0.645148 | −0.322574 | − | 0.946544i | \(-0.604548\pi\) | ||||
−0.322574 | + | 0.946544i | \(0.604548\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.87909 | 0.199895 | ||||||||
\(866\) | 3.76044 | − | 11.4984i | 0.127785 | − | 0.390730i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.592637 | − | 3.83696i | −0.0201154 | − | 0.130235i | ||||
\(869\) | 23.9650 | − | 57.8566i | 0.812956 | − | 1.96265i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.27732 | − | 2.27732i | −0.0771642 | − | 0.0771642i | ||||
\(872\) | −22.0082 | + | 35.4546i | −0.745292 | + | 1.20064i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 7.43478 | + | 6.37460i | 0.251485 | + | 0.215624i | ||||
\(875\) | 0.825874 | + | 0.342088i | 0.0279196 | + | 0.0115647i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 16.0645 | + | 38.7831i | 0.542459 | + | 1.30961i | 0.922983 | + | 0.384842i | \(0.125744\pi\) |
−0.380523 | + | 0.924771i | \(0.624256\pi\) | |||||||
\(878\) | −9.16230 | + | 4.64631i | −0.309213 | + | 0.156805i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.92748 | − | 4.63539i | −0.300945 | − | 0.156259i | ||||
\(881\) | 21.4254i | 0.721841i | 0.932597 | + | 0.360921i | \(0.117537\pi\) | ||||
−0.932597 | + | 0.360921i | \(0.882463\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.94264 | + | 7.10415i | 0.0990276 | + | 0.239074i | 0.965627 | − | 0.259930i | \(-0.0836995\pi\) |
−0.866600 | + | 0.499004i | \(0.833699\pi\) | |||||||
\(884\) | 6.87859 | + | 1.67934i | 0.231352 | + | 0.0564822i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.90147 | − | 6.88295i | 0.198264 | − | 0.231237i | ||||
\(887\) | 30.7269 | − | 30.7269i | 1.03171 | − | 1.03171i | 0.0322295 | − | 0.999480i | \(-0.489739\pi\) |
0.999480 | − | 0.0322295i | \(-0.0102607\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.41977 | − | 1.41977i | −0.0476176 | − | 0.0476176i | ||||
\(890\) | 8.09446 | − | 0.621429i | 0.271327 | − | 0.0208303i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −22.5728 | − | 16.5328i | −0.755795 | − | 0.553559i | ||||
\(893\) | −5.48456 | + | 2.27178i | −0.183534 | + | 0.0760222i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.76225 | 0.192611 | ||||||||
\(896\) | −2.13033 | + | 0.308152i | −0.0711693 | + | 0.0102946i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 31.9348 | + | 10.4440i | 1.06568 | + | 0.348521i | ||||
\(899\) | 23.8149 | − | 9.86444i | 0.794271 | − | 0.328998i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 23.0213 | − | 55.5782i | 0.766949 | − | 1.85158i | ||||
\(902\) | −9.14541 | + | 0.702113i | −0.304509 | + | 0.0233778i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −10.3021 | + | 7.39469i | −0.342641 | + | 0.245944i | ||||
\(905\) | −1.69281 | + | 1.69281i | −0.0562710 | + | 0.0562710i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 32.8338 | + | 13.6002i | 1.09023 | + | 0.451588i | 0.854087 | − | 0.520131i | \(-0.174117\pi\) |
0.236142 | + | 0.971718i | \(0.424117\pi\) | |||||||
\(908\) | −4.43828 | − | 1.08356i | −0.147289 | − | 0.0359592i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.0363270 | + | 0.0716350i | 0.00120423 | + | 0.00237468i | ||||
\(911\) | − | 15.3896i | − | 0.509879i | −0.966957 | − | 0.254940i | \(-0.917944\pi\) | ||
0.966957 | − | 0.254940i | \(-0.0820556\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 21.8588i | − | 0.723421i | ||||||
\(914\) | 2.07818 | − | 1.05387i | 0.0687399 | − | 0.0348588i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −14.4826 | + | 8.79871i | −0.478518 | + | 0.290718i | ||||
\(917\) | 1.18575 | + | 0.491152i | 0.0391568 | + | 0.0162193i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.60663 | − | 1.60663i | 0.0529979 | − | 0.0529979i | −0.680111 | − | 0.733109i | \(-0.738068\pi\) |
0.733109 | + | 0.680111i | \(0.238068\pi\) | |||||||
\(920\) | 4.13903 | − | 6.66785i | 0.136460 | − | 0.219833i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.457369 | + | 5.95749i | 0.0150626 | + | 0.196199i | ||||
\(923\) | −1.45438 | + | 3.51118i | −0.0478715 | + | 0.115572i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −35.1886 | + | 14.5756i | −1.15699 | + | 0.479242i | ||||
\(926\) | 1.37016 | − | 4.18956i | 0.0450263 | − | 0.137678i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −5.34214 | − | 13.2552i | −0.175364 | − | 0.435123i | ||||
\(929\) | −8.22205 | −0.269757 | −0.134878 | − | 0.990862i | \(-0.543064\pi\) | ||||
−0.134878 | + | 0.990862i | \(0.543064\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.72308 | + | 3.19901i | −0.253114 | + | 0.104843i | ||||
\(932\) | −21.9108 | + | 3.38422i | −0.717711 | + | 0.110854i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.14967 | + | 28.0006i | 0.0703393 | + | 0.916208i | ||||
\(935\) | −10.1435 | − | 10.1435i | −0.331726 | − | 0.331726i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 10.3496 | − | 10.3496i | 0.338105 | − | 0.338105i | −0.517549 | − | 0.855654i | \(-0.673155\pi\) |
0.855654 | + | 0.517549i | \(0.173155\pi\) | |||||||
\(938\) | 1.05994 | + | 0.908799i | 0.0346084 | + | 0.0296733i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.47006 | + | 4.06570i | 0.0805645 | + | 0.132608i | ||||
\(941\) | 19.5970 | + | 47.3114i | 0.638844 | + | 1.54231i | 0.828221 | + | 0.560402i | \(0.189353\pi\) |
−0.189376 | + | 0.981905i | \(0.560647\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 7.15614i | − | 0.233036i | ||||||
\(944\) | −49.3049 | − | 4.26122i | −1.60474 | − | 0.138691i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.80445 | + | 15.3900i | 0.253745 | + | 0.500372i | ||||
\(947\) | 9.51949 | + | 22.9821i | 0.309342 | + | 0.746817i | 0.999727 | + | 0.0233749i | \(0.00744115\pi\) |
−0.690385 | + | 0.723442i | \(0.742559\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.96322 | + | 2.05583i | 0.161113 | + | 0.0667352i | ||||
\(950\) | −5.26936 | + | 6.14572i | −0.170961 | + | 0.199394i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −3.02900 | − | 0.497628i | −0.0981703 | − | 0.0161282i | ||||
\(953\) | 26.5521 | + | 26.5521i | 0.860106 | + | 0.860106i | 0.991350 | − | 0.131244i | \(-0.0418972\pi\) |
−0.131244 | + | 0.991350i | \(0.541897\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.00283 | + | 7.24947i | −0.0971692 | + | 0.234587i | ||||
\(956\) | −10.0528 | + | 13.7254i | −0.325129 | + | 0.443911i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 19.5755 | + | 6.40199i | 0.632454 | + | 0.206839i | ||||
\(959\) | −2.82368 | −0.0911813 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 73.1065 | 2.35827 | ||||||||
\(962\) | −6.66319 | − | 2.17914i | −0.214830 | − | 0.0702583i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 12.2088 | − | 16.6691i | 0.393219 | − | 0.536876i | ||||
\(965\) | −0.593112 | + | 1.43190i | −0.0190929 | + | 0.0460944i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.5385 | − | 17.5385i | −0.564001 | − | 0.564001i | 0.366440 | − | 0.930442i | \(-0.380576\pi\) |
−0.930442 | + | 0.366440i | \(0.880576\pi\) | |||||||
\(968\) | 7.49109 | − | 45.5973i | 0.240773 | − | 1.46555i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.08134 | + | 4.76012i | −0.131044 | + | 0.152838i | ||||
\(971\) | 26.0783 | + | 10.8020i | 0.836894 | + | 0.346653i | 0.759628 | − | 0.650358i | \(-0.225381\pi\) |
0.0772656 | + | 0.997011i | \(0.475381\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.722295 | − | 1.74378i | −0.0231557 | − | 0.0559029i | ||||
\(974\) | −10.9363 | − | 21.5658i | −0.350420 | − | 0.691012i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −26.3839 | − | 31.3758i | −0.844528 | − | 1.00432i | ||||
\(977\) | − | 18.6808i | − | 0.597651i | −0.954308 | − | 0.298825i | \(-0.903405\pi\) | ||
0.954308 | − | 0.298825i | \(-0.0965948\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 23.8803 | + | 57.6522i | 0.763218 | + | 1.84257i | ||||
\(980\) | 3.47822 | + | 5.72511i | 0.111108 | + | 0.182882i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 23.5166 | + | 20.1632i | 0.750444 | + | 0.643433i | ||||
\(983\) | 2.93163 | − | 2.93163i | 0.0935046 | − | 0.0935046i | −0.658807 | − | 0.752312i | \(-0.728939\pi\) |
0.752312 | + | 0.658807i | \(0.228939\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.81247 | − | 7.81247i | −0.248926 | − | 0.248926i | ||||
\(986\) | −1.56004 | − | 20.3204i | −0.0496817 | − | 0.647132i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.47259 | + | 0.227448i | −0.0468494 | + | 0.00723610i | ||||
\(989\) | −12.4380 | + | 5.15197i | −0.395504 | + | 0.163823i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −56.5710 | −1.79704 | −0.898519 | − | 0.438935i | \(-0.855356\pi\) | ||||
−0.898519 | + | 0.438935i | \(0.855356\pi\) | |||||||
\(992\) | 0.553506 | − | 57.7157i | 0.0175738 | − | 1.83248i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.512137 | − | 1.56597i | 0.0162440 | − | 0.0496695i | ||||
\(995\) | 4.46387 | − | 1.84900i | 0.141514 | − | 0.0586171i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.90402 | − | 9.42514i | 0.123642 | − | 0.298497i | −0.849924 | − | 0.526906i | \(-0.823352\pi\) |
0.973565 | + | 0.228408i | \(0.0733522\pi\) | |||||||
\(998\) | 0.922746 | + | 12.0193i | 0.0292090 | + | 0.380464i | ||||
\(999\) | 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 | 288.2.v.d.181.1 | 32 | ||
3.2 | odd | 2 | 96.2.n.a.85.8 | yes | 32 | ||
4.3 | odd | 2 | 1152.2.v.c.433.4 | 32 | |||
12.11 | even | 2 | 384.2.n.a.49.6 | 32 | |||
24.5 | odd | 2 | 768.2.n.a.97.7 | 32 | |||
24.11 | even | 2 | 768.2.n.b.97.3 | 32 | |||
32.3 | odd | 8 | 1152.2.v.c.721.4 | 32 | |||
32.29 | even | 8 | inner | 288.2.v.d.253.1 | 32 | ||
96.29 | odd | 8 | 96.2.n.a.61.8 | ✓ | 32 | ||
96.35 | even | 8 | 384.2.n.a.337.6 | 32 | |||
96.77 | odd | 8 | 768.2.n.a.673.7 | 32 | |||
96.83 | even | 8 | 768.2.n.b.673.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.61.8 | ✓ | 32 | 96.29 | odd | 8 | ||
96.2.n.a.85.8 | yes | 32 | 3.2 | odd | 2 | ||
288.2.v.d.181.1 | 32 | 1.1 | even | 1 | trivial | ||
288.2.v.d.253.1 | 32 | 32.29 | even | 8 | inner | ||
384.2.n.a.49.6 | 32 | 12.11 | even | 2 | |||
384.2.n.a.337.6 | 32 | 96.35 | even | 8 | |||
768.2.n.a.97.7 | 32 | 24.5 | odd | 2 | |||
768.2.n.a.673.7 | 32 | 96.77 | odd | 8 | |||
768.2.n.b.97.3 | 32 | 24.11 | even | 2 | |||
768.2.n.b.673.3 | 32 | 96.83 | even | 8 | |||
1152.2.v.c.433.4 | 32 | 4.3 | odd | 2 | |||
1152.2.v.c.721.4 | 32 | 32.3 | odd | 8 |