Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(8,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.r (of order \(36\), degree \(12\), 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: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 152.16 | ||
Character | \(\chi\) | \(=\) | 405.152 |
Dual form | 405.2.r.a.8.16 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.18018 | + | 1.52658i | 1.54162 | + | 1.07945i | 0.964936 | + | 0.262484i | \(0.0845416\pi\) |
0.576682 | + | 0.816969i | \(0.304347\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.73870 | + | 4.77703i | 0.869348 | + | 2.38851i | ||||
\(5\) | −1.64880 | − | 1.51045i | −0.737365 | − | 0.675494i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.30062 | + | 2.78918i | 0.491587 | + | 1.05421i | 0.983054 | + | 0.183315i | \(0.0586829\pi\) |
−0.491468 | + | 0.870896i | \(0.663539\pi\) | |||||||
\(8\) | −2.12414 | + | 7.92739i | −0.750996 | + | 2.80276i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.28885 | − | 5.81007i | −0.407571 | − | 1.83731i | ||||
\(11\) | 0.426793 | + | 0.508631i | 0.128683 | + | 0.153358i | 0.826538 | − | 0.562880i | \(-0.190307\pi\) |
−0.697856 | + | 0.716238i | \(0.745862\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.269123 | − | 0.384347i | −0.0746412 | − | 0.106599i | 0.780096 | − | 0.625660i | \(-0.215170\pi\) |
−0.854737 | + | 0.519062i | \(0.826282\pi\) | |||||||
\(14\) | −1.42232 | + | 8.06640i | −0.380132 | + | 2.15584i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −8.94423 | + | 7.50510i | −2.23606 | + | 1.87627i | ||||
\(17\) | −1.20591 | − | 4.50051i | −0.292476 | − | 1.09153i | −0.943201 | − | 0.332221i | \(-0.892202\pi\) |
0.650726 | − | 0.759313i | \(-0.274465\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.80938 | − | 2.77670i | 1.10335 | − | 0.637018i | 0.166249 | − | 0.986084i | \(-0.446834\pi\) |
0.937098 | + | 0.349066i | \(0.113501\pi\) | |||||||
\(20\) | 4.34871 | − | 10.5026i | 0.972401 | − | 2.34845i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.154018 | + | 1.76044i | 0.0328368 | + | 0.375327i | ||||
\(23\) | 0.0602123 | + | 0.0280775i | 0.0125551 | + | 0.00585456i | 0.428886 | − | 0.903359i | \(-0.358906\pi\) |
−0.416331 | + | 0.909213i | \(0.636684\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.437073 | + | 4.98086i | 0.0874146 | + | 0.996172i | ||||
\(26\) | − | 1.24878i | − | 0.244906i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −11.0626 | + | 11.0626i | −2.09064 | + | 2.09064i | ||||
\(29\) | −0.434735 | − | 2.46551i | −0.0807283 | − | 0.457833i | −0.998197 | − | 0.0600247i | \(-0.980882\pi\) |
0.917469 | − | 0.397808i | \(-0.130229\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.76652 | − | 0.642961i | 0.317276 | − | 0.115479i | −0.178473 | − | 0.983945i | \(-0.557116\pi\) |
0.495749 | + | 0.868466i | \(0.334893\pi\) | |||||||
\(32\) | −14.6055 | + | 1.27781i | −2.58191 | + | 0.225888i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.24128 | − | 11.6528i | 0.727373 | − | 1.99844i | ||||
\(35\) | 2.06847 | − | 6.56331i | 0.349635 | − | 1.10940i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.44933 | + | 0.656295i | −0.402667 | + | 0.107894i | −0.454468 | − | 0.890763i | \(-0.650170\pi\) |
0.0518010 | + | 0.998657i | \(0.483504\pi\) | |||||||
\(38\) | 14.7241 | + | 1.28820i | 2.38857 | + | 0.208973i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 15.4762 | − | 9.86226i | 2.44700 | − | 1.55936i | ||||
\(41\) | −1.62695 | − | 0.286875i | −0.254087 | − | 0.0448023i | 0.0451539 | − | 0.998980i | \(-0.485622\pi\) |
−0.299241 | + | 0.954178i | \(0.596733\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.732214 | − | 8.36925i | 0.111662 | − | 1.27630i | −0.709133 | − | 0.705075i | \(-0.750913\pi\) |
0.820794 | − | 0.571224i | \(-0.193531\pi\) | |||||||
\(44\) | −1.68769 | + | 2.92316i | −0.254428 | + | 0.440682i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0884111 | + | 0.153133i | 0.0130355 | + | 0.0225782i | ||||
\(47\) | 3.71355 | − | 1.73166i | 0.541677 | − | 0.252588i | −0.132468 | − | 0.991187i | \(-0.542290\pi\) |
0.674145 | + | 0.738599i | \(0.264512\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.58841 | + | 1.89299i | −0.226916 | + | 0.270428i | ||||
\(50\) | −6.65077 | + | 11.5264i | −0.940561 | + | 1.63008i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.36812 | − | 1.95387i | 0.189723 | − | 0.270953i | ||||
\(53\) | −7.52870 | − | 7.52870i | −1.03415 | − | 1.03415i | −0.999396 | − | 0.0347509i | \(-0.988936\pi\) |
−0.0347509 | − | 0.999396i | \(-0.511064\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.0645683 | − | 1.48328i | 0.00870639 | − | 0.200005i | ||||
\(56\) | −24.8736 | + | 4.38589i | −3.32388 | + | 0.586089i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.81598 | − | 6.03890i | 0.369757 | − | 0.792946i | ||||
\(59\) | 3.49452 | + | 2.93225i | 0.454948 | + | 0.381747i | 0.841268 | − | 0.540618i | \(-0.181810\pi\) |
−0.386320 | + | 0.922365i | \(0.626254\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.84534 | − | 2.12753i | −0.748419 | − | 0.272402i | −0.0604785 | − | 0.998169i | \(-0.519263\pi\) |
−0.687940 | + | 0.725767i | \(0.741485\pi\) | |||||||
\(62\) | 4.83286 | + | 1.29496i | 0.613773 | + | 0.164460i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −13.5701 | − | 7.83468i | −1.69626 | − | 0.979335i | ||||
\(65\) | −0.136808 | + | 1.04021i | −0.0169690 | + | 0.129022i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.48268 | + | 3.13881i | −0.547646 | + | 0.383466i | −0.814405 | − | 0.580297i | \(-0.802936\pi\) |
0.266758 | + | 0.963763i | \(0.414047\pi\) | |||||||
\(68\) | 19.4024 | − | 13.5857i | 2.35288 | − | 1.64751i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 14.5290 | − | 11.1515i | 1.73655 | − | 1.33286i | ||||
\(71\) | 5.33043 | + | 3.07752i | 0.632605 | + | 0.365235i | 0.781760 | − | 0.623579i | \(-0.214322\pi\) |
−0.149155 | + | 0.988814i | \(0.547655\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 13.6146 | + | 3.64803i | 1.59347 | + | 0.426970i | 0.943063 | − | 0.332613i | \(-0.107930\pi\) |
0.650410 | + | 0.759583i | \(0.274597\pi\) | |||||||
\(74\) | −6.34185 | − | 2.30824i | −0.737225 | − | 0.268328i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 21.6264 | + | 18.1467i | 2.48072 | + | 2.08157i | ||||
\(77\) | −0.863572 | + | 1.85194i | −0.0984131 | + | 0.211048i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.34198 | + | 0.941936i | −0.601020 | + | 0.105976i | −0.465876 | − | 0.884850i | \(-0.654261\pi\) |
−0.135144 | + | 0.990826i | \(0.543150\pi\) | |||||||
\(80\) | 26.0833 | + | 1.13543i | 2.91620 | + | 0.126945i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.10910 | − | 3.10910i | −0.343343 | − | 0.343343i | ||||
\(83\) | −3.25316 | + | 4.64599i | −0.357081 | + | 0.509964i | −0.956997 | − | 0.290099i | \(-0.906312\pi\) |
0.599916 | + | 0.800063i | \(0.295201\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.80950 | + | 9.24190i | −0.521664 | + | 1.00242i | ||||
\(86\) | 14.3727 | − | 17.1287i | 1.54984 | − | 1.84703i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.93869 | + | 2.30295i | −0.526466 | + | 0.245495i | ||||
\(89\) | 3.08131 | + | 5.33699i | 0.326619 | + | 0.565720i | 0.981839 | − | 0.189718i | \(-0.0607574\pi\) |
−0.655220 | + | 0.755438i | \(0.727424\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.721988 | − | 1.25052i | 0.0756849 | − | 0.131090i | ||||
\(92\) | −0.0294359 | + | 0.336454i | −0.00306891 | + | 0.0350778i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.7397 | + | 1.89370i | 1.10772 | + | 0.195320i | ||||
\(95\) | −12.1238 | − | 2.68612i | −1.24387 | − | 0.275590i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −13.5821 | − | 1.18828i | −1.37906 | − | 0.120652i | −0.626625 | − | 0.779321i | \(-0.715564\pi\) |
−0.752433 | + | 0.658669i | \(0.771120\pi\) | |||||||
\(98\) | −6.35281 | + | 1.70223i | −0.641731 | + | 0.171951i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −23.0338 | + | 10.7481i | −2.30338 | + | 1.07481i | ||||
\(101\) | 0.629841 | − | 1.73048i | 0.0626716 | − | 0.172189i | −0.904405 | − | 0.426676i | \(-0.859684\pi\) |
0.967076 | + | 0.254487i | \(0.0819067\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −16.2704 | + | 1.42347i | −1.60317 | + | 0.140259i | −0.853332 | − | 0.521368i | \(-0.825422\pi\) |
−0.749833 | + | 0.661627i | \(0.769866\pi\) | |||||||
\(104\) | 3.61852 | − | 1.31704i | 0.354826 | − | 0.129146i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.92077 | − | 27.9071i | −0.477947 | − | 2.71057i | ||||
\(107\) | −10.4880 | + | 10.4880i | −1.01391 | + | 1.01391i | −0.0140087 | + | 0.999902i | \(0.504459\pi\) |
−0.999902 | + | 0.0140087i | \(0.995541\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.34913i | 0.895484i | 0.894163 | + | 0.447742i | \(0.147772\pi\) | ||||
−0.894163 | + | 0.447742i | \(0.852228\pi\) | |||||||
\(110\) | 2.40511 | − | 3.13525i | 0.229318 | − | 0.298934i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −32.5661 | − | 15.1858i | −3.07721 | − | 1.43492i | ||||
\(113\) | 1.81095 | + | 20.6993i | 0.170360 | + | 1.94722i | 0.296094 | + | 0.955159i | \(0.404316\pi\) |
−0.125734 | + | 0.992064i | \(0.540129\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.0568683 | − | 0.137242i | −0.00530300 | − | 0.0127979i | ||||
\(116\) | 11.0219 | − | 6.36351i | 1.02336 | − | 0.590837i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.14237 | + | 11.7275i | 0.289278 | + | 1.07960i | ||||
\(119\) | 10.9843 | − | 9.21693i | 1.00693 | − | 0.844915i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.83358 | − | 10.3987i | 0.166689 | − | 0.945339i | ||||
\(122\) | −9.49604 | − | 13.5617i | −0.859731 | − | 1.22782i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.14289 | + | 7.32081i | 0.551648 | + | 0.657428i | ||||
\(125\) | 6.80270 | − | 8.87261i | 0.608452 | − | 0.793591i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.97054 | + | 7.35416i | −0.174857 | + | 0.652576i | 0.821719 | + | 0.569893i | \(0.193016\pi\) |
−0.996576 | + | 0.0826829i | \(0.973651\pi\) | |||||||
\(128\) | −5.23265 | − | 11.2214i | −0.462505 | − | 0.991845i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.88622 | + | 2.05899i | −0.165433 | + | 0.180585i | ||||
\(131\) | −4.01388 | − | 11.0280i | −0.350694 | − | 0.963524i | −0.982148 | − | 0.188111i | \(-0.939764\pi\) |
0.631454 | − | 0.775414i | \(-0.282459\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 13.9999 | + | 9.80281i | 1.21394 | + | 0.850012i | ||||
\(134\) | −14.5647 | −1.25820 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 38.2388 | 3.27895 | ||||||||
\(137\) | −5.50755 | − | 3.85643i | −0.470542 | − | 0.329477i | 0.314139 | − | 0.949377i | \(-0.398284\pi\) |
−0.784681 | + | 0.619900i | \(0.787173\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.519349 | − | 1.42690i | −0.0440506 | − | 0.121028i | 0.915717 | − | 0.401824i | \(-0.131624\pi\) |
−0.959767 | + | 0.280796i | \(0.909402\pi\) | |||||||
\(140\) | 34.9496 | − | 1.53048i | 2.95378 | − | 0.129349i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.92320 | + | 14.8468i | 0.580982 | + | 1.24592i | ||||
\(143\) | 0.0806315 | − | 0.300921i | 0.00674274 | − | 0.0251643i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.00724 | + | 4.72177i | −0.249737 | + | 0.392122i | ||||
\(146\) | 24.1133 | + | 28.7372i | 1.99563 | + | 2.37830i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.39377 | − | 10.5594i | −0.607764 | − | 0.867978i | ||||
\(149\) | −3.69731 | + | 20.9685i | −0.302895 | + | 1.71780i | 0.330355 | + | 0.943857i | \(0.392832\pi\) |
−0.633250 | + | 0.773947i | \(0.718280\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.08208 | − | 5.10347i | 0.494952 | − | 0.415314i | −0.360845 | − | 0.932626i | \(-0.617512\pi\) |
0.855797 | + | 0.517312i | \(0.173067\pi\) | |||||||
\(152\) | 11.7962 | + | 44.0239i | 0.956797 | + | 3.57081i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.70986 | + | 2.71924i | −0.379531 | + | 0.219123i | ||||
\(155\) | −3.88380 | − | 1.60813i | −0.311954 | − | 0.129168i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.19160 | − | 13.6200i | −0.0950997 | − | 1.08699i | −0.882424 | − | 0.470455i | \(-0.844090\pi\) |
0.787324 | − | 0.616539i | \(-0.211466\pi\) | |||||||
\(158\) | −13.0844 | − | 6.10136i | −1.04094 | − | 0.485398i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 26.0116 | + | 19.9540i | 2.05640 | + | 1.57750i | ||||
\(161\) | 0.204461i | 0.0161138i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.8462 | − | 13.8462i | 1.08452 | − | 1.08452i | 0.0884330 | − | 0.996082i | \(-0.471814\pi\) |
0.996082 | − | 0.0884330i | \(-0.0281859\pi\) | |||||||
\(164\) | −1.45836 | − | 8.27077i | −0.113879 | − | 0.645839i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −14.1849 | + | 5.16289i | −1.10096 | + | 0.400718i | ||||
\(167\) | −21.8892 | + | 1.91506i | −1.69384 | + | 0.148192i | −0.892809 | − | 0.450435i | \(-0.851269\pi\) |
−0.801028 | + | 0.598627i | \(0.795713\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.37097 | − | 12.0091i | 0.336228 | − | 0.923779i | ||||
\(170\) | −24.5940 | + | 12.8069i | −1.88628 | + | 0.982245i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 41.2533 | − | 11.0538i | 3.14553 | − | 0.842842i | ||||
\(173\) | −3.73833 | − | 0.327061i | −0.284220 | − | 0.0248660i | −0.0558456 | − | 0.998439i | \(-0.517785\pi\) |
−0.228374 | + | 0.973573i | \(0.573341\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −13.3241 | + | 7.69726i | −1.00720 | + | 0.581858i | ||||
\(176\) | −7.63466 | − | 1.34620i | −0.575484 | − | 0.101473i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.42952 | + | 16.3394i | −0.107147 | + | 1.22469i | ||||
\(179\) | 7.21345 | − | 12.4941i | 0.539158 | − | 0.933850i | −0.459791 | − | 0.888027i | \(-0.652076\pi\) |
0.998950 | − | 0.0458226i | \(-0.0145909\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.06370 | − | 12.2347i | −0.525041 | − | 0.909397i | −0.999575 | − | 0.0291599i | \(-0.990717\pi\) |
0.474534 | − | 0.880237i | \(-0.342617\pi\) | |||||||
\(182\) | 3.48308 | − | 1.62419i | 0.258183 | − | 0.120393i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.350480 | + | 0.417686i | −0.0258378 | + | 0.0307922i | ||||
\(185\) | 5.02975 | + | 2.61749i | 0.369794 | + | 0.192442i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.77443 | − | 2.53415i | 0.129759 | − | 0.185315i | ||||
\(188\) | 14.7289 | + | 14.7289i | 1.07422 | + | 1.07422i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −22.3314 | − | 24.3641i | −1.62009 | − | 1.76756i | ||||
\(191\) | 2.54718 | − | 0.449136i | 0.184307 | − | 0.0324983i | −0.0807326 | − | 0.996736i | \(-0.525726\pi\) |
0.265040 | + | 0.964237i | \(0.414615\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.02445 | + | 12.9195i | −0.433649 | + | 0.929963i | 0.561112 | + | 0.827740i | \(0.310374\pi\) |
−0.994761 | + | 0.102224i | \(0.967404\pi\) | |||||||
\(194\) | −27.7975 | − | 23.3248i | −1.99574 | − | 1.67463i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −11.8046 | − | 4.29654i | −0.843189 | − | 0.306896i | ||||
\(197\) | 8.06170 | + | 2.16013i | 0.574372 | + | 0.153903i | 0.534301 | − | 0.845294i | \(-0.320575\pi\) |
0.0400711 | + | 0.999197i | \(0.487242\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.27312 | + | 1.88973i | 0.232025 | + | 0.133960i | 0.611506 | − | 0.791240i | \(-0.290564\pi\) |
−0.379481 | + | 0.925200i | \(0.623897\pi\) | |||||||
\(200\) | −40.4136 | − | 7.11519i | −2.85768 | − | 0.503120i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.01487 | − | 2.81124i | 0.282485 | − | 0.197798i | ||||
\(203\) | 6.31132 | − | 4.41923i | 0.442968 | − | 0.310169i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.24920 | + | 2.93043i | 0.157091 | + | 0.204670i | ||||
\(206\) | −37.6453 | − | 21.7345i | −2.62287 | − | 1.51432i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.29166 | + | 1.41790i | 0.366911 | + | 0.0983134i | ||||
\(209\) | 3.46492 | + | 1.26113i | 0.239674 | + | 0.0872341i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.6392 | − | 11.4447i | −0.938964 | − | 0.787885i | 0.0384403 | − | 0.999261i | \(-0.487761\pi\) |
−0.977405 | + | 0.211376i | \(0.932205\pi\) | |||||||
\(212\) | 22.8747 | − | 49.0550i | 1.57104 | − | 3.36911i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −38.8763 | + | 6.85495i | −2.65753 | + | 0.468594i | ||||
\(215\) | −13.8486 | + | 12.6932i | −0.944468 | + | 0.865671i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.09090 | + | 4.09090i | 0.277708 | + | 0.277708i | ||||
\(218\) | −14.2722 | + | 20.3828i | −0.966633 | + | 1.38049i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 7.19794 | − | 2.27053i | 0.485285 | − | 0.153079i | ||||
\(221\) | −1.40522 | + | 1.67468i | −0.0945254 | + | 0.112651i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −17.3515 | + | 8.09113i | −1.16194 | + | 0.541822i | −0.905337 | − | 0.424694i | \(-0.860382\pi\) |
−0.256605 | + | 0.966516i | \(0.582604\pi\) | |||||||
\(224\) | −22.5602 | − | 39.0754i | −1.50737 | − | 2.61083i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −27.6508 | + | 47.8926i | −1.83930 | + | 3.18577i | ||||
\(227\) | 0.0420779 | − | 0.480953i | 0.00279281 | − | 0.0319220i | −0.994670 | − | 0.103106i | \(-0.967122\pi\) |
0.997463 | + | 0.0711836i | \(0.0226776\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.7979 | + | 2.60927i | 0.977875 | + | 0.172426i | 0.639672 | − | 0.768648i | \(-0.279070\pi\) |
0.338203 | + | 0.941073i | \(0.390181\pi\) | |||||||
\(230\) | 0.0855272 | − | 0.386026i | 0.00563950 | − | 0.0254538i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 20.4685 | + | 1.79076i | 1.34382 | + | 0.117569i | ||||
\(233\) | 0.534587 | − | 0.143242i | 0.0350220 | − | 0.00938411i | −0.241266 | − | 0.970459i | \(-0.577562\pi\) |
0.276287 | + | 0.961075i | \(0.410896\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.73847 | − | 2.75398i | −0.570035 | − | 0.179650i | ||||
\(236\) | −7.93154 | + | 21.7917i | −0.516299 | + | 1.41852i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 38.0181 | − | 3.32615i | 2.46435 | − | 0.215602i | ||||
\(239\) | 5.32354 | − | 1.93761i | 0.344351 | − | 0.125334i | −0.164054 | − | 0.986451i | \(-0.552457\pi\) |
0.508406 | + | 0.861118i | \(0.330235\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.317967 | + | 1.80328i | 0.0204821 | + | 0.116160i | 0.993335 | − | 0.115266i | \(-0.0367721\pi\) |
−0.972853 | + | 0.231426i | \(0.925661\pi\) | |||||||
\(242\) | 19.8720 | − | 19.8720i | 1.27742 | − | 1.27742i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 31.6225i | − | 2.02442i | ||||||
\(245\) | 5.47824 | − | 0.721948i | 0.349992 | − | 0.0461236i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.36153 | − | 1.10120i | −0.150261 | − | 0.0700677i | ||||
\(248\) | 1.34467 | + | 15.3696i | 0.0853866 | + | 0.975973i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 28.3758 | − | 8.95902i | 1.79464 | − | 0.566618i | ||||
\(251\) | 16.8470 | − | 9.72663i | 1.06337 | − | 0.613939i | 0.137011 | − | 0.990570i | \(-0.456251\pi\) |
0.926364 | + | 0.376630i | \(0.122917\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0114171 | + | 0.0426091i | 0.000717786 | + | 0.00267881i | ||||
\(254\) | −15.5228 | + | 13.0252i | −0.973988 | + | 0.817273i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.280392 | − | 1.59018i | 0.0175245 | − | 0.0993864i | ||||
\(257\) | 17.1627 | + | 24.5109i | 1.07058 | + | 1.52895i | 0.829553 | + | 0.558428i | \(0.188595\pi\) |
0.241027 | + | 0.970518i | \(0.422516\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.01616 | − | 5.97802i | −0.311689 | − | 0.371456i | ||||
\(260\) | −5.20697 | + | 1.15507i | −0.322923 | + | 0.0716343i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.08418 | − | 30.1706i | 0.499442 | − | 1.86394i | ||||
\(263\) | 3.54766 | + | 7.60797i | 0.218758 | + | 0.469128i | 0.984807 | − | 0.173655i | \(-0.0555577\pi\) |
−0.766049 | + | 0.642782i | \(0.777780\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.04157 | + | 23.7851i | 0.0639834 | + | 1.46110i | ||||
\(266\) | 15.5574 | + | 42.7437i | 0.953888 | + | 2.62079i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −22.7882 | − | 15.9565i | −1.39201 | − | 0.974696i | ||||
\(269\) | 2.21545 | 0.135079 | 0.0675393 | − | 0.997717i | \(-0.478485\pi\) | ||||
0.0675393 | + | 0.997717i | \(0.478485\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.87725 | −0.357017 | −0.178509 | − | 0.983938i | \(-0.557127\pi\) | ||||
−0.178509 | + | 0.983938i | \(0.557127\pi\) | |||||||
\(272\) | 44.5627 | + | 31.2031i | 2.70201 | + | 1.89197i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.12031 | − | 16.8154i | −0.369741 | − | 1.01586i | ||||
\(275\) | −2.34688 | + | 2.34810i | −0.141522 | + | 0.141596i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.78156 | + | 10.2541i | 0.287296 | + | 0.616108i | 0.995996 | − | 0.0894020i | \(-0.0284956\pi\) |
−0.708700 | + | 0.705510i | \(0.750718\pi\) | |||||||
\(278\) | 1.04600 | − | 3.90372i | 0.0627348 | − | 0.234130i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 47.6362 | + | 30.3389i | 2.84681 | + | 1.81310i | ||||
\(281\) | −13.9719 | − | 16.6511i | −0.833496 | − | 0.993322i | −0.999974 | − | 0.00727642i | \(-0.997684\pi\) |
0.166478 | − | 0.986045i | \(-0.446761\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.52820 | − | 10.7514i | −0.447505 | − | 0.639103i | 0.530500 | − | 0.847685i | \(-0.322004\pi\) |
−0.978005 | + | 0.208582i | \(0.933115\pi\) | |||||||
\(284\) | −5.43342 | + | 30.8145i | −0.322414 | + | 1.82850i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.635170 | − | 0.532971i | 0.0375584 | − | 0.0315152i | ||||
\(287\) | −1.31589 | − | 4.91097i | −0.0776745 | − | 0.289885i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.07794 | + | 2.35440i | −0.239879 | + | 0.138494i | ||||
\(290\) | −13.7645 | + | 5.70352i | −0.808276 | + | 0.334922i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.24497 | + | 71.3804i | 0.365460 | + | 4.17722i | ||||
\(293\) | 3.86399 | + | 1.80181i | 0.225736 | + | 0.105263i | 0.532196 | − | 0.846621i | \(-0.321367\pi\) |
−0.306460 | + | 0.951884i | \(0.599145\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.33274 | − | 10.1130i | −0.0775950 | − | 0.588801i | ||||
\(296\) | − | 20.8108i | − | 1.20960i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −40.0708 | + | 40.0708i | −2.32124 | + | 2.32124i | ||||
\(299\) | −0.00541301 | − | 0.0306987i | −0.000313043 | − | 0.00177535i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 24.2957 | − | 8.84290i | 1.40038 | − | 0.509696i | ||||
\(302\) | 21.0508 | − | 1.84171i | 1.21134 | − | 0.105978i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −22.1768 | + | 60.9303i | −1.27193 | + | 3.49459i | ||||
\(305\) | 6.42425 | + | 12.3370i | 0.367852 | + | 0.706413i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.9955 | − | 4.82189i | 1.02706 | − | 0.275200i | 0.294318 | − | 0.955707i | \(-0.404907\pi\) |
0.732741 | + | 0.680508i | \(0.238241\pi\) | |||||||
\(308\) | −10.3482 | − | 0.905354i | −0.589646 | − | 0.0515873i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.01243 | − | 9.43492i | −0.341483 | − | 0.535868i | ||||
\(311\) | 8.07539 | + | 1.42391i | 0.457913 | + | 0.0807425i | 0.397847 | − | 0.917452i | \(-0.369758\pi\) |
0.0600667 | + | 0.998194i | \(0.480869\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.66176 | + | 18.9940i | −0.0939283 | + | 1.07360i | 0.792230 | + | 0.610222i | \(0.208920\pi\) |
−0.886158 | + | 0.463382i | \(0.846636\pi\) | |||||||
\(314\) | 18.1941 | − | 31.5131i | 1.02675 | − | 1.77839i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −13.7877 | − | 23.8811i | −0.775621 | − | 1.34342i | ||||
\(317\) | −15.3899 | + | 7.17642i | −0.864382 | + | 0.403068i | −0.803661 | − | 0.595087i | \(-0.797118\pi\) |
−0.0607206 | + | 0.998155i | \(0.519340\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.06849 | − | 1.27338i | 0.0598241 | − | 0.0712956i | ||||
\(320\) | 10.5404 | + | 33.4147i | 0.589226 | + | 1.86794i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.312125 | + | 0.445761i | −0.0173941 | + | 0.0248413i | ||||
\(323\) | −18.2962 | − | 18.2962i | −1.01803 | − | 1.01803i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.79675 | − | 1.50845i | 0.0996659 | − | 0.0836738i | ||||
\(326\) | 51.3243 | − | 9.04986i | 2.84259 | − | 0.501225i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.73003 | − | 12.2881i | 0.316388 | − | 0.678497i | ||||
\(329\) | 9.65980 | + | 8.10554i | 0.532562 | + | 0.446873i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.3657 | + | 4.86470i | 0.734643 | + | 0.267388i | 0.682129 | − | 0.731232i | \(-0.261054\pi\) |
0.0525142 | + | 0.998620i | \(0.483277\pi\) | |||||||
\(332\) | −27.8503 | − | 7.46247i | −1.52848 | − | 0.409556i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −50.6458 | − | 29.2404i | −2.77122 | − | 1.59996i | ||||
\(335\) | 12.1320 | + | 1.59561i | 0.662845 | + | 0.0871775i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.58245 | − | 3.90887i | 0.304095 | − | 0.212930i | −0.411561 | − | 0.911382i | \(-0.635016\pi\) |
0.715657 | + | 0.698452i | \(0.246128\pi\) | |||||||
\(338\) | 27.8623 | − | 19.5094i | 1.51551 | − | 1.06117i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −52.5111 | − | 6.90628i | −2.84781 | − | 0.374545i | ||||
\(341\) | 1.08097 | + | 0.624097i | 0.0585377 | + | 0.0337968i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.4628 | + | 3.60734i | 0.726922 | + | 0.194778i | ||||
\(344\) | 64.7910 | + | 23.5820i | 3.49330 | + | 1.27146i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.65094 | − | 6.41990i | −0.411317 | − | 0.345136i | ||||
\(347\) | −5.81216 | + | 12.4642i | −0.312013 | + | 0.669114i | −0.998304 | − | 0.0582130i | \(-0.981460\pi\) |
0.686291 | + | 0.727327i | \(0.259238\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 26.3484 | − | 4.64594i | 1.41040 | − | 0.248691i | 0.583990 | − | 0.811761i | \(-0.301491\pi\) |
0.826409 | + | 0.563070i | \(0.190380\pi\) | |||||||
\(350\) | −40.7993 | − | 3.55879i | −2.18081 | − | 0.190225i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.88345 | − | 6.88345i | −0.366889 | − | 0.366889i | ||||
\(353\) | 0.0271374 | − | 0.0387563i | 0.00144438 | − | 0.00206279i | −0.818429 | − | 0.574607i | \(-0.805155\pi\) |
0.819874 | + | 0.572545i | \(0.194044\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.14035 | − | 13.1256i | −0.219747 | − | 0.696633i | ||||
\(356\) | −20.1375 | + | 23.9989i | −1.06729 | + | 1.27194i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 34.7997 | − | 16.2274i | 1.83922 | − | 0.857644i | ||||
\(359\) | 9.42597 | + | 16.3263i | 0.497484 | + | 0.861667i | 0.999996 | − | 0.00290290i | \(-0.000924023\pi\) |
−0.502512 | + | 0.864570i | \(0.667591\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.92010 | − | 10.2539i | 0.311584 | − | 0.539680i | ||||
\(362\) | 3.27707 | − | 37.4571i | 0.172239 | − | 1.96870i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.22909 | + | 1.27468i | 0.378907 | + | 0.0668116i | ||||
\(365\) | −16.9376 | − | 26.5791i | −0.886556 | − | 1.39122i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −19.7504 | − | 1.72794i | −1.03096 | − | 0.0901977i | −0.440902 | − | 0.897555i | \(-0.645341\pi\) |
−0.590063 | + | 0.807357i | \(0.700897\pi\) | |||||||
\(368\) | −0.749277 | + | 0.200768i | −0.0390588 | + | 0.0104658i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 6.96994 | + | 13.3849i | 0.362350 | + | 0.695847i | ||||
\(371\) | 11.2070 | − | 30.7909i | 0.581836 | − | 1.59858i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.1273 | − | 1.84840i | 1.09393 | − | 0.0957063i | 0.474120 | − | 0.880460i | \(-0.342766\pi\) |
0.619808 | + | 0.784754i | \(0.287211\pi\) | |||||||
\(374\) | 7.73714 | − | 2.81609i | 0.400078 | − | 0.145616i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.83943 | + | 33.1170i | 0.301145 | + | 1.70788i | ||||
\(377\) | −0.830613 | + | 0.830613i | −0.0427788 | + | 0.0427788i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.95221i | 0.254378i | 0.991878 | + | 0.127189i | \(0.0405955\pi\) | ||||
−0.991878 | + | 0.127189i | \(0.959405\pi\) | |||||||
\(380\) | −8.24787 | − | 62.5860i | −0.423107 | − | 3.21059i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 6.23894 | + | 2.90926i | 0.319212 | + | 0.148851i | ||||
\(383\) | −2.46502 | − | 28.1753i | −0.125957 | − | 1.43969i | −0.751620 | − | 0.659596i | \(-0.770727\pi\) |
0.625663 | − | 0.780093i | \(-0.284828\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.22111 | − | 1.74909i | 0.215128 | − | 0.0891416i | ||||
\(386\) | −32.8569 | + | 18.9699i | −1.67237 | + | 0.965545i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −17.9388 | − | 66.9484i | −0.910703 | − | 3.39879i | ||||
\(389\) | −22.5434 | + | 18.9162i | −1.14300 | + | 0.959088i | −0.999533 | − | 0.0305681i | \(-0.990268\pi\) |
−0.143463 | + | 0.989656i | \(0.545824\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.0537524 | − | 0.304845i | 0.00271838 | − | 0.0154167i | ||||
\(392\) | −11.6325 | − | 16.6129i | −0.587530 | − | 0.839080i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 14.2783 | + | 17.0163i | 0.719332 | + | 0.857267i | ||||
\(395\) | 10.2306 | + | 6.51574i | 0.514757 | + | 0.327843i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.07320 | + | 18.9334i | −0.254616 | + | 0.950242i | 0.713687 | + | 0.700465i | \(0.247024\pi\) |
−0.968303 | + | 0.249777i | \(0.919643\pi\) | |||||||
\(398\) | 4.25115 | + | 9.11662i | 0.213091 | + | 0.456975i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −41.2911 | − | 41.2697i | −2.06456 | − | 2.06348i | ||||
\(401\) | 0.0115561 | + | 0.0317502i | 0.000577086 | + | 0.00158553i | 0.939981 | − | 0.341227i | \(-0.110843\pi\) |
−0.939404 | + | 0.342813i | \(0.888620\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.722531 | − | 0.505922i | −0.0359918 | − | 0.0252018i | ||||
\(404\) | 9.36163 | 0.465759 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 20.5061 | 1.01770 | ||||||||
\(407\) | −1.37917 | − | 0.965702i | −0.0683627 | − | 0.0478681i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.01485 | + | 8.28322i | 0.149075 | + | 0.409579i | 0.991643 | − | 0.129010i | \(-0.0411799\pi\) |
−0.842569 | + | 0.538589i | \(0.818958\pi\) | |||||||
\(410\) | 0.430135 | + | 9.82242i | 0.0212428 | + | 0.485095i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −35.0892 | − | 75.2490i | −1.72872 | − | 3.70725i | ||||
\(413\) | −3.63355 | + | 13.5606i | −0.178795 | + | 0.667272i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.3814 | − | 2.74657i | 0.607777 | − | 0.134824i | ||||
\(416\) | 4.42180 | + | 5.26969i | 0.216796 | + | 0.258368i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.62894 | + | 8.03896i | 0.275320 | + | 0.393198i | ||||
\(419\) | 5.75122 | − | 32.6168i | 0.280966 | − | 1.59344i | −0.438384 | − | 0.898788i | \(-0.644449\pi\) |
0.719350 | − | 0.694648i | \(-0.244440\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.7180 | − | 10.6716i | 0.619835 | − | 0.520104i | −0.277916 | − | 0.960605i | \(-0.589644\pi\) |
0.897752 | + | 0.440502i | \(0.145199\pi\) | |||||||
\(422\) | −12.2648 | − | 45.7728i | −0.597040 | − | 2.22819i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 75.6750 | − | 43.6910i | 3.67510 | − | 2.12182i | ||||
\(425\) | 21.8893 | − | 7.97351i | 1.06179 | − | 0.386772i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.66848 | − | 19.0708i | −0.0807433 | − | 0.922901i | ||||
\(428\) | −68.3368 | − | 31.8660i | −3.30318 | − | 1.54030i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −49.5696 | + | 6.53252i | −2.39046 | + | 0.315026i | ||||
\(431\) | 14.4385i | 0.695480i | 0.937591 | + | 0.347740i | \(0.113051\pi\) | ||||
−0.937591 | + | 0.347740i | \(0.886949\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 16.4822 | − | 16.4822i | 0.792085 | − | 0.792085i | −0.189748 | − | 0.981833i | \(-0.560767\pi\) |
0.981833 | + | 0.189748i | \(0.0607670\pi\) | |||||||
\(434\) | 2.67381 | + | 15.1640i | 0.128347 | + | 0.727893i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −44.6611 | + | 16.2553i | −2.13888 | + | 0.778488i | ||||
\(437\) | 0.367547 | − | 0.0321562i | 0.0175821 | − | 0.00153824i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.9388 | + | 30.0541i | −0.522080 | + | 1.43440i | 0.346121 | + | 0.938190i | \(0.387499\pi\) |
−0.868201 | + | 0.496213i | \(0.834723\pi\) | |||||||
\(440\) | 11.6214 | + | 3.66255i | 0.554028 | + | 0.174605i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.62015 | + | 1.50592i | −0.267323 | + | 0.0716291i | ||||
\(443\) | −17.8910 | − | 1.56526i | −0.850027 | − | 0.0743677i | −0.346188 | − | 0.938165i | \(-0.612524\pi\) |
−0.503839 | + | 0.863798i | \(0.668080\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.98080 | − | 13.4538i | 0.141304 | − | 0.637771i | ||||
\(446\) | −50.1811 | − | 8.84827i | −2.37614 | − | 0.418978i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 4.20289 | − | 48.0392i | 0.198568 | − | 2.26964i | ||||
\(449\) | 6.63475 | − | 11.4917i | 0.313113 | − | 0.542328i | −0.665921 | − | 0.746022i | \(-0.731961\pi\) |
0.979035 | + | 0.203694i | \(0.0652947\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.548456 | − | 0.949953i | −0.0258258 | − | 0.0447316i | ||||
\(452\) | −95.7323 | + | 44.6407i | −4.50287 | + | 2.09972i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.825948 | − | 0.984327i | 0.0387637 | − | 0.0461968i | ||||
\(455\) | −3.07926 | + | 0.971328i | −0.144358 | + | 0.0455365i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.61784 | + | 6.59496i | −0.216013 | + | 0.308499i | −0.912505 | − | 0.409066i | \(-0.865855\pi\) |
0.696491 | + | 0.717565i | \(0.254743\pi\) | |||||||
\(458\) | 28.2789 | + | 28.2789i | 1.32138 | + | 1.32138i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.556732 | − | 0.510284i | 0.0259578 | − | 0.0237921i | ||||
\(461\) | 14.1578 | − | 2.49640i | 0.659393 | − | 0.116269i | 0.166068 | − | 0.986114i | \(-0.446893\pi\) |
0.493324 | + | 0.869846i | \(0.335782\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 8.79261 | − | 18.8558i | 0.408627 | − | 0.876304i | −0.589044 | − | 0.808101i | \(-0.700496\pi\) |
0.997671 | − | 0.0682032i | \(-0.0217266\pi\) | |||||||
\(464\) | 22.3922 | + | 18.7893i | 1.03953 | + | 0.872272i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.38417 | + | 0.503795i | 0.0641202 | + | 0.0233378i | ||||
\(467\) | 23.8222 | + | 6.38314i | 1.10236 | + | 0.295376i | 0.763725 | − | 0.645542i | \(-0.223368\pi\) |
0.338635 | + | 0.940918i | \(0.390035\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14.5849 | − | 8.42062i | −0.673470 | − | 0.388828i | ||||
\(470\) | −14.8473 | − | 19.3441i | −0.684853 | − | 0.892278i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −30.6679 | + | 21.4739i | −1.41161 | + | 0.988418i | ||||
\(473\) | 4.56937 | − | 3.19951i | 0.210100 | − | 0.147113i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 15.9324 | + | 22.7412i | 0.731028 | + | 1.04344i | ||||
\(476\) | 63.1279 | + | 36.4469i | 2.89346 | + | 1.67054i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 14.5642 | + | 3.90246i | 0.666150 | + | 0.178494i | ||||
\(479\) | −25.2593 | − | 9.19362i | −1.15412 | − | 0.420067i | −0.307130 | − | 0.951668i | \(-0.599368\pi\) |
−0.846995 | + | 0.531601i | \(0.821591\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.911414 | + | 0.764768i | 0.0415569 | + | 0.0348704i | ||||
\(482\) | −2.05962 | + | 4.41687i | −0.0938132 | + | 0.201183i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 52.8631 | − | 9.32118i | 2.40287 | − | 0.423690i | ||||
\(485\) | 20.5994 | + | 22.4744i | 0.935369 | + | 1.02051i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.39406 | + | 1.39406i | 0.0631711 | + | 0.0631711i | 0.737987 | − | 0.674815i | \(-0.235777\pi\) |
−0.674815 | + | 0.737987i | \(0.735777\pi\) | |||||||
\(488\) | 29.2821 | − | 41.8191i | 1.32554 | − | 1.89306i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 13.0456 | + | 6.78898i | 0.589342 | + | 0.306695i | ||||
\(491\) | 15.2423 | − | 18.1651i | 0.687875 | − | 0.819777i | −0.303222 | − | 0.952920i | \(-0.598062\pi\) |
0.991097 | + | 0.133143i | \(0.0425068\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.5718 | + | 4.92970i | −0.476129 | + | 0.222023i | ||||
\(494\) | −3.46749 | − | 6.00587i | −0.156010 | − | 0.270217i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.9747 | + | 19.0087i | −0.492778 | + | 0.853516i | ||||
\(497\) | −1.65093 | + | 18.8702i | −0.0740542 | + | 0.846444i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 30.8900 | + | 5.44673i | 1.38282 | + | 0.243829i | 0.815067 | − | 0.579366i | \(-0.196700\pi\) |
0.567758 | + | 0.823196i | \(0.307811\pi\) | |||||||
\(500\) | 54.2126 | + | 17.0699i | 2.42446 | + | 0.763390i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 51.5779 | + | 4.51248i | 2.30204 | + | 0.201402i | ||||
\(503\) | 5.95437 | − | 1.59547i | 0.265492 | − | 0.0711385i | −0.123617 | − | 0.992330i | \(-0.539449\pi\) |
0.389109 | + | 0.921192i | \(0.372783\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.65228 | + | 1.90186i | −0.162524 | + | 0.0846317i | ||||
\(506\) | −0.0401548 | + | 0.110325i | −0.00178510 | + | 0.00490452i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −38.5572 | + | 3.37332i | −1.71070 | + | 0.149667i | ||||
\(509\) | −18.3832 | + | 6.69092i | −0.814819 | + | 0.296570i | −0.715613 | − | 0.698497i | \(-0.753853\pi\) |
−0.0992061 | + | 0.995067i | \(0.531630\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.53240 | + | 42.7184i | 0.333214 | + | 1.88975i | ||||
\(512\) | −14.4712 | + | 14.4712i | −0.639545 | + | 0.639545i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 79.6382i | 3.51269i | ||||||||
\(515\) | 28.9766 | + | 22.2286i | 1.27686 | + | 0.979507i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.46569 | + | 1.14977i | 0.108441 | + | 0.0505668i | ||||
\(518\) | −1.81020 | − | 20.6907i | −0.0795357 | − | 0.909097i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.95554 | − | 3.29408i | −0.348873 | − | 0.144455i | ||||
\(521\) | −1.02507 | + | 0.591824i | −0.0449091 | + | 0.0259283i | −0.522286 | − | 0.852770i | \(-0.674921\pi\) |
0.477377 | + | 0.878698i | \(0.341587\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.5734 | − | 43.1925i | −0.506069 | − | 1.88868i | −0.456106 | − | 0.889926i | \(-0.650756\pi\) |
−0.0499636 | − | 0.998751i | \(-0.515911\pi\) | |||||||
\(524\) | 45.7023 | − | 38.3488i | 1.99652 | − | 1.67528i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.87963 | + | 22.0025i | −0.169160 | + | 0.959354i | ||||
\(527\) | −5.02391 | − | 7.17489i | −0.218845 | − | 0.312543i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.7813 | − | 17.6156i | −0.642664 | − | 0.765897i | ||||
\(530\) | −34.0389 | + | 53.4457i | −1.47856 | + | 2.32153i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −22.4868 | + | 83.9219i | −0.974927 | + | 3.63848i | ||||
\(533\) | 0.327589 | + | 0.702518i | 0.0141895 | + | 0.0304294i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 33.1341 | − | 1.45098i | 1.43251 | − | 0.0627313i | ||||
\(536\) | −15.3607 | − | 42.2032i | −0.663482 | − | 1.82290i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 4.83008 | + | 3.38206i | 0.208240 | + | 0.145811i | ||||
\(539\) | −1.64076 | −0.0706724 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.781277 | −0.0335897 | −0.0167949 | − | 0.999859i | \(-0.505346\pi\) | ||||
−0.0167949 | + | 0.999859i | \(0.505346\pi\) | |||||||
\(542\) | −12.8134 | − | 8.97207i | −0.550384 | − | 0.385383i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 23.3637 | + | 64.1912i | 1.00171 | + | 2.75218i | ||||
\(545\) | 14.1214 | − | 15.4148i | 0.604895 | − | 0.660299i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.68743 | − | 10.0522i | −0.200420 | − | 0.429802i | 0.780251 | − | 0.625467i | \(-0.215091\pi\) |
−0.980671 | + | 0.195665i | \(0.937314\pi\) | |||||||
\(548\) | 8.84632 | − | 33.0149i | 0.377896 | − | 1.41033i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −8.70118 | + | 1.53658i | −0.371020 | + | 0.0655202i | ||||
\(551\) | −8.93677 | − | 10.6504i | −0.380719 | − | 0.453724i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.57510 | − | 13.6747i | −0.407175 | − | 0.581505i | ||||
\(554\) | −5.22900 | + | 29.6551i | −0.222159 | + | 1.25993i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.91335 | − | 4.96189i | 0.250782 | − | 0.210431i | ||||
\(557\) | −3.48849 | − | 13.0192i | −0.147812 | − | 0.551642i | −0.999614 | − | 0.0277782i | \(-0.991157\pi\) |
0.851802 | − | 0.523864i | \(-0.175510\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.41375 | + | 1.97093i | −0.144386 | + | 0.0833615i | ||||
\(560\) | 30.7575 | + | 74.2278i | 1.29974 | + | 3.13670i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.04211 | − | 57.6316i | −0.212689 | − | 2.43104i | ||||
\(563\) | 34.0720 | + | 15.8881i | 1.43596 | + | 0.669601i | 0.975887 | − | 0.218277i | \(-0.0700436\pi\) |
0.460078 | + | 0.887878i | \(0.347821\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 28.2793 | − | 36.8643i | 1.18972 | − | 1.55089i | ||||
\(566\) | − | 34.9323i | − | 1.46831i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −35.7193 | + | 35.7193i | −1.49875 | + | 1.49875i | ||||
\(569\) | −2.09817 | − | 11.8993i | −0.0879598 | − | 0.498845i | −0.996679 | − | 0.0814360i | \(-0.974049\pi\) |
0.908719 | − | 0.417409i | \(-0.137062\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.672547 | − | 0.244787i | 0.0281452 | − | 0.0102440i | −0.327909 | − | 0.944709i | \(-0.606344\pi\) |
0.356054 | + | 0.934465i | \(0.384122\pi\) | |||||||
\(572\) | 1.57770 | − | 0.138031i | 0.0659670 | − | 0.00577137i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.62809 | − | 12.7156i | 0.193173 | − | 0.530738i | ||||
\(575\) | −0.113533 | + | 0.312181i | −0.00473464 | + | 0.0130189i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −36.1045 | + | 9.67417i | −1.50305 | + | 0.402741i | −0.914120 | − | 0.405443i | \(-0.867117\pi\) |
−0.588930 | + | 0.808184i | \(0.700451\pi\) | |||||||
\(578\) | −12.4848 | − | 1.09228i | −0.519300 | − | 0.0454328i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −27.7847 | − | 6.15593i | −1.15370 | − | 0.255611i | ||||
\(581\) | −17.1896 | − | 3.03100i | −0.713146 | − | 0.125747i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.616142 | − | 7.04253i | 0.0255180 | − | 0.291672i | ||||
\(584\) | −57.8388 | + | 100.180i | −2.39339 | + | 4.14547i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.67358 | + | 9.82693i | 0.234373 | + | 0.405947i | ||||
\(587\) | 8.34577 | − | 3.89170i | 0.344467 | − | 0.160628i | −0.242683 | − | 0.970106i | \(-0.578028\pi\) |
0.587150 | + | 0.809478i | \(0.300250\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.71056 | − | 7.99734i | 0.276504 | − | 0.329525i | ||||
\(590\) | 12.5327 | − | 24.0826i | 0.515961 | − | 0.991467i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 16.9818 | − | 24.2525i | 0.697946 | − | 0.996771i | ||||
\(593\) | −9.96484 | − | 9.96484i | −0.409207 | − | 0.409207i | 0.472255 | − | 0.881462i | \(-0.343440\pi\) |
−0.881462 | + | 0.472255i | \(0.843440\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −32.0326 | − | 1.39441i | −1.31321 | − | 0.0571651i | ||||
\(596\) | −106.595 | + | 18.7957i | −4.36632 | + | 0.769900i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.0350626 | − | 0.0751920i | 0.00143382 | − | 0.00307483i | ||||
\(599\) | 5.73610 | + | 4.81316i | 0.234371 | + | 0.196660i | 0.752407 | − | 0.658698i | \(-0.228893\pi\) |
−0.518037 | + | 0.855358i | \(0.673337\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.4882 | − | 7.45708i | −0.835730 | − | 0.304181i | −0.111522 | − | 0.993762i | \(-0.535572\pi\) |
−0.724208 | + | 0.689581i | \(0.757795\pi\) | |||||||
\(602\) | 66.4682 | + | 17.8101i | 2.70904 | + | 0.725886i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 34.9543 | + | 20.1809i | 1.42227 | + | 0.821148i | ||||
\(605\) | −18.7300 | + | 14.3759i | −0.761481 | + | 0.584462i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −18.7469 | + | 13.1267i | −0.760912 | + | 0.532796i | −0.888415 | − | 0.459042i | \(-0.848193\pi\) |
0.127503 | + | 0.991838i | \(0.459304\pi\) | |||||||
\(608\) | −66.6953 | + | 46.7005i | −2.70485 | + | 1.89396i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.82731 | + | 36.7039i | −0.195452 | + | 1.48610i | ||||
\(611\) | −1.66496 | − | 0.961264i | −0.0673570 | − | 0.0388886i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.4667 | − | 3.87633i | −0.584303 | − | 0.156564i | −0.0454549 | − | 0.998966i | \(-0.514474\pi\) |
−0.538848 | + | 0.842403i | \(0.681140\pi\) | |||||||
\(614\) | 46.5944 | + | 16.9590i | 1.88040 | + | 0.684409i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −12.8467 | − | 10.7796i | −0.517607 | − | 0.434324i | ||||
\(617\) | −0.200538 | + | 0.430054i | −0.00807334 | + | 0.0173133i | −0.910303 | − | 0.413942i | \(-0.864152\pi\) |
0.902230 | + | 0.431256i | \(0.141929\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.1152 | + | 1.78359i | −0.406565 | + | 0.0716885i | −0.373191 | − | 0.927754i | \(-0.621736\pi\) |
−0.0333743 | + | 0.999443i | \(0.510625\pi\) | |||||||
\(620\) | 0.929342 | − | 21.3491i | 0.0373233 | − | 0.857399i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.4321 | + | 15.4321i | 0.618770 | + | 0.618770i | ||||
\(623\) | −10.8782 | + | 15.5357i | −0.435827 | + | 0.622425i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.6179 | + | 4.35400i | −0.984717 | + | 0.174160i | ||||
\(626\) | −32.6187 | + | 38.8735i | −1.30371 | + | 1.55370i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 62.9913 | − | 29.3733i | 2.51363 | − | 1.17212i | ||||
\(629\) | 5.90732 | + | 10.2318i | 0.235540 | + | 0.407968i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.48152 | + | 11.2263i | −0.258025 | + | 0.446913i | −0.965713 | − | 0.259613i | \(-0.916405\pi\) |
0.707688 | + | 0.706526i | \(0.249738\pi\) | |||||||
\(632\) | 3.88002 | − | 44.3488i | 0.154339 | − | 1.76410i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −44.5080 | − | 7.84797i | −1.76764 | − | 0.311683i | ||||
\(635\) | 14.3571 | − | 9.14912i | 0.569745 | − | 0.363072i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.15504 | + | 0.101053i | 0.0457645 | + | 0.00400388i | ||||
\(638\) | 4.27341 | − | 1.14506i | 0.169186 | − | 0.0453333i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −8.32187 | + | 26.4056i | −0.328951 | + | 1.04377i | ||||
\(641\) | −16.0051 | + | 43.9737i | −0.632164 | + | 1.73686i | 0.0428806 | + | 0.999080i | \(0.486347\pi\) |
−0.675045 | + | 0.737777i | \(0.735876\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.0886 | + | 1.93250i | −0.871088 | + | 0.0762103i | −0.513928 | − | 0.857833i | \(-0.671810\pi\) |
−0.357160 | + | 0.934043i | \(0.616255\pi\) | |||||||
\(644\) | −0.976716 | + | 0.355496i | −0.0384880 | + | 0.0140085i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11.9584 | − | 67.8196i | −0.470498 | − | 2.66833i | ||||
\(647\) | 23.9696 | − | 23.9696i | 0.942341 | − | 0.942341i | −0.0560849 | − | 0.998426i | \(-0.517862\pi\) |
0.998426 | + | 0.0560849i | \(0.0178617\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.02889i | 0.118894i | ||||||||
\(650\) | 6.22001 | − | 0.545809i | 0.243969 | − | 0.0214084i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 90.2178 | + | 42.0693i | 3.53320 | + | 1.64756i | ||||
\(653\) | 0.846075 | + | 9.67068i | 0.0331095 | + | 0.378443i | 0.994614 | + | 0.103652i | \(0.0330530\pi\) |
−0.961504 | + | 0.274791i | \(0.911391\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.0392 | + | 24.2458i | −0.392266 | + | 0.947361i | ||||
\(656\) | 16.7048 | − | 9.64453i | 0.652214 | − | 0.376556i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.68636 | + | 32.4179i | 0.338629 | + | 1.26378i | ||||
\(659\) | 15.9731 | − | 13.4030i | 0.622224 | − | 0.522108i | −0.276278 | − | 0.961078i | \(-0.589101\pi\) |
0.898502 | + | 0.438970i | \(0.144657\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.68365 | + | 37.9049i | −0.259964 | + | 1.47433i | 0.523038 | + | 0.852310i | \(0.324799\pi\) |
−0.783002 | + | 0.622020i | \(0.786312\pi\) | |||||||
\(662\) | 21.7132 | + | 31.0096i | 0.843906 | + | 1.20522i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −29.9205 | − | 35.6578i | −1.16114 | − | 1.38379i | ||||
\(665\) | −8.27629 | − | 37.3090i | −0.320941 | − | 1.44678i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.0430488 | − | 0.160660i | 0.00166685 | − | 0.00622079i | ||||
\(668\) | −47.2070 | − | 101.236i | −1.82649 | − | 3.91693i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 24.0142 | + | 21.9992i | 0.927749 | + | 0.849904i | ||||
\(671\) | −1.41262 | − | 3.88114i | −0.0545335 | − | 0.149830i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 16.8631 | + | 11.8077i | 0.650026 | + | 0.455153i | 0.851510 | − | 0.524339i | \(-0.175687\pi\) |
−0.201484 | + | 0.979492i | \(0.564576\pi\) | |||||||
\(674\) | 18.1379 | 0.698646 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 64.9678 | 2.49876 | ||||||||
\(677\) | −18.5670 | − | 13.0007i | −0.713588 | − | 0.499659i | 0.159515 | − | 0.987195i | \(-0.449007\pi\) |
−0.873103 | + | 0.487536i | \(0.837896\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −14.3508 | − | 39.4285i | −0.550734 | − | 1.51313i | ||||
\(680\) | −63.0481 | − | 57.7579i | −2.41778 | − | 2.21491i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.40397 | + | 3.01082i | 0.0537608 | + | 0.115290i | ||||
\(683\) | −2.12172 | + | 7.91835i | −0.0811852 | + | 0.302987i | −0.994564 | − | 0.104122i | \(-0.966797\pi\) |
0.913379 | + | 0.407110i | \(0.133463\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.25589 | + | 14.6774i | 0.124401 | + | 0.560793i | ||||
\(686\) | 23.8444 | + | 28.4166i | 0.910382 | + | 1.08495i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 56.2630 | + | 80.3518i | 2.14500 | + | 3.06338i | ||||
\(689\) | −0.867490 | + | 4.91978i | −0.0330487 | + | 0.187429i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.09562 | − | 1.75844i | 0.0797212 | − | 0.0668941i | −0.602056 | − | 0.798454i | \(-0.705652\pi\) |
0.681777 | + | 0.731560i | \(0.261207\pi\) | |||||||
\(692\) | −4.93744 | − | 18.4268i | −0.187693 | − | 0.700481i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −31.6991 | + | 18.3015i | −1.20328 | + | 0.694715i | ||||
\(695\) | −1.29896 | + | 3.13712i | −0.0492724 | + | 0.118998i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.670867 | + | 7.66804i | 0.0254109 | + | 0.290448i | ||||
\(698\) | 64.5366 | + | 30.0939i | 2.44275 | + | 1.13907i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −59.9365 | − | 50.2662i | −2.26539 | − | 1.89988i | ||||
\(701\) | 45.2015i | 1.70724i | 0.520899 | + | 0.853618i | \(0.325597\pi\) | ||||
−0.520899 | + | 0.853618i | \(0.674403\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −9.95741 | + | 9.95741i | −0.375551 | + | 0.375551i | ||||
\(704\) | −1.80664 | − | 10.2459i | −0.0680901 | − | 0.386158i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.118329 | − | 0.0430682i | 0.00445337 | − | 0.00162089i | ||||
\(707\) | 5.64579 | − | 0.493942i | 0.212332 | − | 0.0185766i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.90171 | + | 18.9623i | −0.259199 | + | 0.712144i | 0.740018 | + | 0.672587i | \(0.234817\pi\) |
−0.999217 | + | 0.0395569i | \(0.987405\pi\) | |||||||
\(710\) | 11.0105 | − | 34.9366i | 0.413216 | − | 1.31115i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −48.8536 | + | 13.0903i | −1.83086 | + | 0.490579i | ||||
\(713\) | 0.124419 | + | 0.0108853i | 0.00465953 | + | 0.000407656i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.587471 | + | 0.374368i | −0.0219702 | + | 0.0140006i | ||||
\(716\) | 72.2265 | + | 12.7355i | 2.69923 | + | 0.475947i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4.37300 | + | 49.9836i | −0.163199 | + | 1.86537i | ||||
\(719\) | −18.2157 | + | 31.5505i | −0.679331 | + | 1.17664i | 0.295852 | + | 0.955234i | \(0.404396\pi\) |
−0.975183 | + | 0.221402i | \(0.928937\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −25.1318 | − | 43.5295i | −0.935957 | − | 1.62113i | ||||
\(722\) | 28.5603 | − | 13.3179i | 1.06290 | − | 0.495640i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 46.1638 | − | 55.0159i | 1.71566 | − | 2.04465i | ||||
\(725\) | 12.0903 | − | 3.24296i | 0.449024 | − | 0.120441i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.67153 | + | 10.9561i | −0.284521 | + | 0.406338i | −0.935817 | − | 0.352485i | \(-0.885337\pi\) |
0.651296 | + | 0.758824i | \(0.274226\pi\) | |||||||
\(728\) | 8.37976 | + | 8.37976i | 0.310575 | + | 0.310575i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.64805 | − | 83.8038i | 0.135020 | − | 3.10172i | ||||
\(731\) | −38.5489 | + | 6.79721i | −1.42578 | + | 0.251404i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.7462 | + | 38.0568i | −0.655470 | + | 1.40566i | 0.244474 | + | 0.969656i | \(0.421385\pi\) |
−0.899944 | + | 0.436005i | \(0.856393\pi\) | |||||||
\(734\) | −40.4216 | − | 33.9178i | −1.49199 | − | 1.25193i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.915308 | − | 0.333145i | −0.0337387 | − | 0.0122799i | ||||
\(737\) | −3.50967 | − | 0.940413i | −0.129280 | − | 0.0346406i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 34.0711 | + | 19.6709i | 1.25332 | + | 0.723607i | 0.971768 | − | 0.235938i | \(-0.0758162\pi\) |
0.281556 | + | 0.959545i | \(0.409150\pi\) | |||||||
\(740\) | −3.75862 | + | 28.5783i | −0.138170 | + | 1.05056i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 71.4378 | − | 50.0213i | 2.62256 | − | 1.83634i | ||||
\(743\) | −10.6136 | + | 7.43173i | −0.389376 | + | 0.272644i | −0.751829 | − | 0.659358i | \(-0.770828\pi\) |
0.362453 | + | 0.932002i | \(0.381939\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 37.7680 | − | 28.9882i | 1.38371 | − | 1.06204i | ||||
\(746\) | 48.8829 | + | 28.2225i | 1.78973 | + | 1.03330i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 15.1909 | + | 4.07039i | 0.555434 | + | 0.148828i | ||||
\(749\) | −42.8937 | − | 15.6120i | −1.56730 | − | 0.570451i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 30.6700 | + | 25.7352i | 1.11916 | + | 0.939089i | 0.998562 | − | 0.0536119i | \(-0.0170734\pi\) |
0.120601 | + | 0.992701i | \(0.461518\pi\) | |||||||
\(752\) | −20.2186 | + | 43.3589i | −0.737296 | + | 1.58114i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.07888 | + | 0.542889i | −0.112126 | + | 0.0197709i | ||||
\(755\) | −17.7367 | − | 0.772091i | −0.645503 | − | 0.0280993i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.846964 | + | 0.846964i | 0.0307834 | + | 0.0307834i | 0.722331 | − | 0.691548i | \(-0.243071\pi\) |
−0.691548 | + | 0.722331i | \(0.743071\pi\) | |||||||
\(758\) | −7.55993 | + | 10.7967i | −0.274589 | + | 0.392154i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 47.0465 | − | 90.4042i | 1.70656 | − | 3.27930i | ||||
\(761\) | 3.25980 | − | 3.88488i | 0.118168 | − | 0.140827i | −0.703718 | − | 0.710480i | \(-0.748478\pi\) |
0.821885 | + | 0.569653i | \(0.192922\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −26.0764 | + | 12.1596i | −0.944029 | + | 0.440208i | ||||
\(764\) | 6.57430 | + | 11.3870i | 0.237850 | + | 0.411968i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 37.6375 | − | 65.1901i | 1.35990 | − | 2.35542i | ||||
\(767\) | 0.186547 | − | 2.13224i | 0.00673583 | − | 0.0769909i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 26.0795 | + | 4.59852i | 0.940451 | + | 0.165827i | 0.622800 | − | 0.782381i | \(-0.285995\pi\) |
0.317651 | + | 0.948208i | \(0.397106\pi\) | |||||||
\(770\) | 11.8729 | + | 2.63054i | 0.427869 | + | 0.0947980i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −72.1914 | − | 6.31593i | −2.59822 | − | 0.227315i | ||||
\(773\) | 10.4941 | − | 2.81189i | 0.377447 | − | 0.101137i | −0.0651074 | − | 0.997878i | \(-0.520739\pi\) |
0.442555 | + | 0.896742i | \(0.354072\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.97460 | + | 8.51777i | 0.142772 | + | 0.305967i | ||||
\(776\) | 38.2703 | − | 105.147i | 1.37383 | − | 3.77455i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −78.0256 | + | 6.82635i | −2.79735 | + | 0.244737i | ||||
\(779\) | −8.62118 | + | 3.13785i | −0.308886 | + | 0.112425i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.709661 | + | 4.02469i | 0.0253937 | + | 0.144015i | ||||
\(782\) | 0.582559 | − | 0.582559i | 0.0208323 | − | 0.0208323i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | − | 28.8525i | − | 1.03045i | ||||||
\(785\) | −18.6076 | + | 24.2565i | −0.664135 | + | 0.865751i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.22332 | + | 3.36829i | 0.257484 | + | 0.120067i | 0.547074 | − | 0.837084i | \(-0.315741\pi\) |
−0.289591 | + | 0.957151i | \(0.593519\pi\) | |||||||
\(788\) | 3.69786 | + | 42.2668i | 0.131731 | + | 1.50569i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 12.3577 | + | 29.8233i | 0.439669 | + | 1.06106i | ||||
\(791\) | −55.3786 | + | 31.9729i | −1.96904 | + | 1.13682i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.755404 | + | 2.81921i | 0.0268252 | + | 0.100113i | ||||
\(794\) | −39.9638 | + | 33.5336i | −1.41826 | + | 1.19006i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.33636 | + | 18.9215i | −0.118254 | + | 0.670653i | ||||
\(797\) | 0.435383 | + | 0.621792i | 0.0154221 | + | 0.0220250i | 0.826789 | − | 0.562512i | \(-0.190165\pi\) |
−0.811367 | + | 0.584537i | \(0.801276\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.2715 | − | 14.6246i | −0.434136 | − | 0.517383i | ||||
\(800\) | −12.7483 | − | 72.1894i | −0.450720 | − | 2.55228i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.0232747 | + | 0.0868625i | −0.000821859 | + | 0.00306722i | ||||
\(803\) | 3.95512 | + | 8.48179i | 0.139573 | + | 0.299316i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.308828 | − | 0.337115i | 0.0108848 | − | 0.0118817i | ||||
\(806\) | −0.802918 | − | 2.20600i | −0.0282816 | − | 0.0777030i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 12.3803 | + | 8.66877i | 0.435537 | + | 0.304966i | ||||
\(809\) | 3.88327 | 0.136528 | 0.0682642 | − | 0.997667i | \(-0.478254\pi\) | ||||
0.0682642 | + | 0.997667i | \(0.478254\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −22.9810 | −0.806974 | −0.403487 | − | 0.914985i | \(-0.632202\pi\) | ||||
−0.403487 | + | 0.914985i | \(0.632202\pi\) | |||||||
\(812\) | 32.0843 | + | 22.4656i | 1.12594 | + | 0.788390i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.53261 | − | 4.21081i | −0.0537179 | − | 0.147589i | ||||
\(815\) | −43.7435 | + | 1.91558i | −1.53227 | + | 0.0670997i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −19.7174 | − | 42.2840i | −0.689824 | − | 1.47933i | ||||
\(818\) | −6.07207 | + | 22.6613i | −0.212305 | + | 0.792333i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −10.0881 | + | 15.8396i | −0.352290 | + | 0.553143i | ||||
\(821\) | 1.59034 | + | 1.89529i | 0.0555031 | + | 0.0661461i | 0.793082 | − | 0.609115i | \(-0.208475\pi\) |
−0.737579 | + | 0.675261i | \(0.764031\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −18.8527 | − | 26.9245i | −0.657164 | − | 0.938528i | 0.342835 | − | 0.939396i | \(-0.388613\pi\) |
−1.00000 | 0.000867529i | \(0.999724\pi\) | ||||||||
\(824\) | 23.2761 | − | 132.005i | 0.810860 | − | 4.59862i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −28.6230 | + | 24.0176i | −0.995923 | + | 0.835678i | ||||
\(827\) | −2.22968 | − | 8.32126i | −0.0775334 | − | 0.289359i | 0.916262 | − | 0.400579i | \(-0.131191\pi\) |
−0.993796 | + | 0.111220i | \(0.964524\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.38409 | + | 4.26321i | −0.256460 | + | 0.148067i | −0.622719 | − | 0.782446i | \(-0.713972\pi\) |
0.366259 | + | 0.930513i | \(0.380639\pi\) | |||||||
\(830\) | 31.1864 | + | 12.9131i | 1.08250 | + | 0.448220i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.640776 | + | 7.32410i | 0.0222149 | + | 0.253918i | ||||
\(833\) | 10.4349 | + | 4.86588i | 0.361548 | + | 0.168593i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 38.9835 | + | 29.9050i | 1.34908 | + | 1.03491i | ||||
\(836\) | 18.7448i | 0.648301i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 62.3307 | − | 62.3307i | 2.15318 | − | 2.15318i | ||||
\(839\) | −8.06541 | − | 45.7412i | −0.278449 | − | 1.57916i | −0.727789 | − | 0.685802i | \(-0.759452\pi\) |
0.449340 | − | 0.893361i | \(-0.351659\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.3614 | − | 7.77490i | 0.736599 | − | 0.268100i | ||||
\(842\) | 44.0185 | − | 3.85112i | 1.51698 | − | 0.132718i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 30.9571 | − | 85.0539i | 1.06559 | − | 2.92768i | ||||
\(845\) | −25.3461 | + | 13.1985i | −0.871931 | + | 0.454042i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 31.3887 | − | 8.41058i | 1.07853 | − | 0.288991i | ||||
\(848\) | 123.842 | + | 10.8348i | 4.25276 | + | 0.372068i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 59.8948 | + | 16.0321i | 2.05438 | + | 0.549896i | ||||
\(851\) | −0.165907 | − | 0.0292538i | −0.00568721 | − | 0.00100281i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.80662 | − | 20.6498i | 0.0618575 | − | 0.707035i | −0.900430 | − | 0.435001i | \(-0.856748\pi\) |
0.962288 | − | 0.272034i | \(-0.0876964\pi\) | |||||||
\(854\) | 25.4755 | − | 44.1248i | 0.871752 | − | 1.50992i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −60.8644 | − | 105.420i | −2.08030 | − | 3.60319i | ||||
\(857\) | −3.98725 | + | 1.85929i | −0.136202 | + | 0.0635120i | −0.489524 | − | 0.871990i | \(-0.662830\pi\) |
0.353322 | + | 0.935502i | \(0.385052\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −27.5782 | + | 32.8664i | −0.940956 | + | 1.12139i | 0.0514862 | + | 0.998674i | \(0.483604\pi\) |
−0.992442 | + | 0.122714i | \(0.960840\pi\) | |||||||
\(860\) | −84.7145 | − | 44.0856i | −2.88874 | − | 1.50331i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −22.0415 | + | 31.4786i | −0.750738 | + | 1.07217i | ||||
\(863\) | −29.7115 | − | 29.7115i | −1.01139 | − | 1.01139i | −0.999934 | − | 0.0114553i | \(-0.996354\pi\) |
−0.0114553 | − | 0.999934i | \(-0.503646\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.66974 | + | 6.18582i | 0.192777 | + | 0.210324i | ||||
\(866\) | 61.0955 | − | 10.7728i | 2.07611 | − | 0.366074i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −12.4295 | + | 26.6552i | −0.421885 | + | 0.904736i | ||||
\(869\) | −2.75902 | − | 2.31509i | −0.0935932 | − | 0.0785340i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.41278 | + | 0.878181i | 0.0817540 | + | 0.0297560i | ||||
\(872\) | −74.1142 | − | 19.8588i | −2.50982 | − | 0.672505i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.850406 | + | 0.490982i | 0.0287654 | + | 0.0166077i | ||||
\(875\) | 33.5950 | + | 7.43410i | 1.13572 | + | 0.251318i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.47306 | + | 6.63310i | −0.319882 | + | 0.223984i | −0.722478 | − | 0.691394i | \(-0.756997\pi\) |
0.402596 | + | 0.915378i | \(0.368108\pi\) | |||||||
\(878\) | −69.7284 | + | 48.8243i | −2.35322 | + | 1.64774i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 10.5547 | + | 13.7514i | 0.355797 | + | 0.463559i | ||||
\(881\) | −12.7653 | − | 7.37007i | −0.430075 | − | 0.248304i | 0.269304 | − | 0.963055i | \(-0.413206\pi\) |
−0.699379 | + | 0.714751i | \(0.746540\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −15.3517 | − | 4.11349i | −0.516627 | − | 0.138430i | −0.00892106 | − | 0.999960i | \(-0.502840\pi\) |
−0.507706 | + | 0.861530i | \(0.669506\pi\) | |||||||
\(884\) | −10.4432 | − | 3.80103i | −0.351244 | − | 0.127842i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −36.6160 | − | 30.7245i | −1.23014 | − | 1.03221i | ||||
\(887\) | −3.15396 | + | 6.76369i | −0.105900 | + | 0.227102i | −0.952116 | − | 0.305737i | \(-0.901097\pi\) |
0.846216 | + | 0.532839i | \(0.178875\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −23.0750 | + | 4.06875i | −0.773911 | + | 0.136461i | ||||
\(890\) | 27.0369 | − | 24.7812i | 0.906280 | − | 0.830669i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −68.8206 | − | 68.8206i | −2.30428 | − | 2.30428i | ||||
\(893\) | 13.0516 | − | 18.6396i | 0.436755 | − | 0.623750i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −30.7652 | + | 9.70462i | −1.02837 | + | 0.324390i | ||||
\(896\) | 24.4930 | − | 29.1896i | 0.818253 | − | 0.975156i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 32.0079 | − | 14.9255i | 1.06812 | − | 0.498072i | ||||
\(899\) | −2.35319 | − | 4.07585i | −0.0784834 | − | 0.135937i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −24.8041 | + | 42.9619i | −0.826344 | + | 1.43127i | ||||
\(902\) | 0.254446 | − | 2.90833i | 0.00847211 | − | 0.0968367i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −167.938 | − | 29.6120i | −5.58553 | − | 0.984880i | ||||
\(905\) | −6.83328 | + | 30.8419i | −0.227146 | + | 1.02522i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 16.3212 | + | 1.42792i | 0.541937 | + | 0.0474134i | 0.354838 | − | 0.934928i | \(-0.384536\pi\) |
0.187099 | + | 0.982341i | \(0.440092\pi\) | |||||||
\(908\) | 2.37069 | − | 0.635223i | 0.0786740 | − | 0.0210806i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −8.19614 | − | 2.58306i | −0.271700 | − | 0.0856277i | ||||
\(911\) | 0.825532 | − | 2.26813i | 0.0273511 | − | 0.0751465i | −0.925266 | − | 0.379320i | \(-0.876158\pi\) |
0.952617 | + | 0.304173i | \(0.0983802\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.75152 | + | 0.328216i | −0.124157 | + | 0.0108624i | ||||
\(914\) | −20.1354 | + | 7.32869i | −0.666020 | + | 0.242412i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 13.2645 | + | 75.2269i | 0.438273 | + | 2.48557i | ||||
\(917\) | 25.5387 | − | 25.5387i | 0.843361 | − | 0.843361i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 5.68243i | − | 0.187446i | −0.995598 | − | 0.0937230i | \(-0.970123\pi\) | ||
0.995598 | − | 0.0937230i | \(-0.0298768\pi\) | |||||||
\(920\) | 1.20877 | − | 0.159297i | 0.0398519 | − | 0.00525186i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 34.6774 | + | 16.1703i | 1.14204 | + | 0.532541i | ||||
\(923\) | −0.251702 | − | 2.87697i | −0.00828487 | − | 0.0946965i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.33945 | − | 11.9129i | −0.142680 | − | 0.391694i | ||||
\(926\) | 47.9543 | − | 27.6864i | 1.57588 | − | 0.909832i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 9.49998 | + | 35.4544i | 0.311852 | + | 1.16385i | ||||
\(929\) | 31.5686 | − | 26.4892i | 1.03573 | − | 0.869082i | 0.0442093 | − | 0.999022i | \(-0.485923\pi\) |
0.991522 | + | 0.129941i | \(0.0414787\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.38300 | + | 13.5147i | −0.0780996 | + | 0.442925i | ||||
\(932\) | 1.61376 | + | 2.30468i | 0.0528604 | + | 0.0754924i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 42.1923 | + | 50.2828i | 1.38057 | + | 1.64530i | ||||
\(935\) | −6.75338 | + | 1.49811i | −0.220859 | + | 0.0489934i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.09031 | + | 7.80116i | −0.0682876 | + | 0.254853i | −0.991628 | − | 0.129131i | \(-0.958781\pi\) |
0.923340 | + | 0.383983i | \(0.125448\pi\) | |||||||
\(938\) | −18.9430 | − | 40.6235i | −0.618512 | − | 1.32640i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.03770 | − | 46.5323i | −0.0664625 | − | 1.51772i | ||||
\(941\) | −17.0461 | − | 46.8337i | −0.555686 | − | 1.52673i | −0.825833 | − | 0.563915i | \(-0.809294\pi\) |
0.270147 | − | 0.962819i | \(-0.412928\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.0899076 | − | 0.0629540i | −0.00292780 | − | 0.00205006i | ||||
\(944\) | −53.2626 | −1.73355 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 14.8463 | 0.482696 | ||||||||
\(947\) | 39.8496 | + | 27.9030i | 1.29494 | + | 0.906726i | 0.998827 | − | 0.0484276i | \(-0.0154210\pi\) |
0.296112 | + | 0.955153i | \(0.404310\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.26190 | − | 6.21452i | −0.0734244 | − | 0.201732i | ||||
\(950\) | 0.0192021 | + | 73.9019i | 0.000622999 | + | 2.39770i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 49.7340 | + | 106.655i | 1.61189 | + | 3.45671i | ||||
\(953\) | 13.0100 | − | 48.5541i | 0.421436 | − | 1.57282i | −0.350148 | − | 0.936694i | \(-0.613869\pi\) |
0.771584 | − | 0.636127i | \(-0.219465\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.87818 | − | 3.10685i | −0.157854 | − | 0.100535i | ||||
\(956\) | 18.5120 | + | 22.0618i | 0.598722 | + | 0.713529i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −41.0349 | − | 58.6039i | −1.32578 | − | 1.89341i | ||||
\(959\) | 3.59307 | − | 20.3773i | 0.116026 | − | 0.658017i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −21.0402 | + | 17.6548i | −0.678716 | + | 0.569510i | ||||
\(962\) | 0.819569 | + | 3.05867i | 0.0264240 | + | 0.0986156i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −8.06148 | + | 4.65430i | −0.259643 | + | 0.149905i | ||||
\(965\) | 29.4473 | − | 12.2020i | 0.947943 | − | 0.392795i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.33600 | − | 49.5607i | −0.139436 | − | 1.59377i | −0.667533 | − | 0.744581i | \(-0.732650\pi\) |
0.528096 | − | 0.849185i | \(-0.322906\pi\) | |||||||
\(968\) | 78.5400 | + | 36.6238i | 2.52437 | + | 1.17713i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.6014 | + | 80.4447i | 0.340390 | + | 2.58292i | ||||
\(971\) | 40.2818i | 1.29270i | 0.763039 | + | 0.646352i | \(0.223706\pi\) | ||||
−0.763039 | + | 0.646352i | \(0.776294\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.30441 | − | 3.30441i | 0.105934 | − | 0.105934i | ||||
\(974\) | 0.911162 | + | 5.16745i | 0.0291955 | + | 0.165576i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 68.2493 | − | 24.8407i | 2.18461 | − | 0.795132i | ||||
\(977\) | 37.7958 | − | 3.30670i | 1.20919 | − | 0.105791i | 0.535328 | − | 0.844644i | \(-0.320188\pi\) |
0.673866 | + | 0.738854i | \(0.264633\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.39948 | + | 3.84504i | −0.0447276 | + | 0.122888i | ||||
\(980\) | 12.9738 | + | 24.9145i | 0.414432 | + | 0.795864i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 60.9612 | − | 16.3345i | 1.94535 | − | 0.521255i | ||||
\(983\) | 35.6886 | + | 3.12235i | 1.13829 | + | 0.0995874i | 0.640676 | − | 0.767811i | \(-0.278654\pi\) |
0.497614 | + | 0.867399i | \(0.334210\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −10.0294 | − | 15.7384i | −0.319562 | − | 0.501468i | ||||
\(986\) | −30.5739 | − | 5.39101i | −0.973672 | − | 0.171685i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.15448 | − | 13.1958i | 0.0367289 | − | 0.419813i | ||||
\(989\) | 0.279076 | − | 0.483373i | 0.00887409 | − | 0.0153704i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.8850 | + | 37.9060i | 0.695201 | + | 1.20412i | 0.970113 | + | 0.242654i | \(0.0780179\pi\) |
−0.274912 | + | 0.961469i | \(0.588649\pi\) | |||||||
\(992\) | −24.9793 | + | 11.6480i | −0.793094 | + | 0.369826i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −32.4061 | + | 38.6201i | −1.02786 | + | 1.22495i | ||||
\(995\) | −2.54236 | − | 8.05968i | −0.0805981 | − | 0.255509i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 13.9764 | − | 19.9603i | 0.442636 | − | 0.632150i | −0.534398 | − | 0.845233i | \(-0.679462\pi\) |
0.977034 | + | 0.213083i | \(0.0683505\pi\) | |||||||
\(998\) | 59.0307 | + | 59.0307i | 1.86859 | + | 1.86859i | ||||
\(999\) | 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 | 405.2.r.a.152.16 | 192 | ||
3.2 | odd | 2 | 135.2.q.a.122.1 | yes | 192 | ||
5.3 | odd | 4 | inner | 405.2.r.a.233.16 | 192 | ||
15.2 | even | 4 | 675.2.ba.b.68.16 | 192 | |||
15.8 | even | 4 | 135.2.q.a.68.1 | yes | 192 | ||
15.14 | odd | 2 | 675.2.ba.b.257.16 | 192 | |||
27.2 | odd | 18 | inner | 405.2.r.a.332.16 | 192 | ||
27.25 | even | 9 | 135.2.q.a.2.1 | ✓ | 192 | ||
135.52 | odd | 36 | 675.2.ba.b.218.16 | 192 | |||
135.79 | even | 18 | 675.2.ba.b.407.16 | 192 | |||
135.83 | even | 36 | inner | 405.2.r.a.8.16 | 192 | ||
135.133 | odd | 36 | 135.2.q.a.83.1 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.2.1 | ✓ | 192 | 27.25 | even | 9 | ||
135.2.q.a.68.1 | yes | 192 | 15.8 | even | 4 | ||
135.2.q.a.83.1 | yes | 192 | 135.133 | odd | 36 | ||
135.2.q.a.122.1 | yes | 192 | 3.2 | odd | 2 | ||
405.2.r.a.8.16 | 192 | 135.83 | even | 36 | inner | ||
405.2.r.a.152.16 | 192 | 1.1 | even | 1 | trivial | ||
405.2.r.a.233.16 | 192 | 5.3 | odd | 4 | inner | ||
405.2.r.a.332.16 | 192 | 27.2 | odd | 18 | inner | ||
675.2.ba.b.68.16 | 192 | 15.2 | even | 4 | |||
675.2.ba.b.218.16 | 192 | 135.52 | odd | 36 | |||
675.2.ba.b.257.16 | 192 | 15.14 | odd | 2 | |||
675.2.ba.b.407.16 | 192 | 135.79 | even | 18 |