Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,3,Mod(2,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.h (of order \(54\), degree \(18\), 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: | \(2.20709014132\) |
Analytic rank: | \(0\) |
Dimension: | \(306\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 2.6 | ||
Character | \(\chi\) | \(=\) | 81.2 |
Dual form | 81.3.h.a.41.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.71539 | − | 0.0999103i | −0.857697 | − | 0.0499551i | −0.376342 | − | 0.926481i | \(-0.622818\pi\) |
−0.481355 | + | 0.876526i | \(0.659855\pi\) | |||||||
\(3\) | −0.611041 | + | 2.93711i | −0.203680 | + | 0.979037i | ||||
\(4\) | −1.04036 | − | 0.121601i | −0.260090 | − | 0.0304002i | ||||
\(5\) | 0.258193 | + | 1.08940i | 0.0516385 | + | 0.217880i | 0.992747 | − | 0.120226i | \(-0.0383619\pi\) |
−0.941108 | + | 0.338106i | \(0.890214\pi\) | |||||||
\(6\) | 1.34162 | − | 4.97725i | 0.223604 | − | 0.829542i | ||||
\(7\) | −6.70340 | − | 9.00422i | −0.957628 | − | 1.28632i | −0.958135 | − | 0.286318i | \(-0.907569\pi\) |
0.000506869 | − | 1.00000i | \(-0.499839\pi\) | |||||||
\(8\) | 8.54126 | + | 1.50605i | 1.06766 | + | 0.188257i | ||||
\(9\) | −8.25326 | − | 3.58939i | −0.917029 | − | 0.398821i | ||||
\(10\) | −0.334060 | − | 1.89455i | −0.0334060 | − | 0.189455i | ||||
\(11\) | −4.32578 | − | 4.08116i | −0.393253 | − | 0.371015i | 0.464066 | − | 0.885801i | \(-0.346390\pi\) |
−0.857319 | + | 0.514786i | \(0.827871\pi\) | |||||||
\(12\) | 0.992858 | − | 2.98135i | 0.0827381 | − | 0.248446i | ||||
\(13\) | −12.3822 | − | 6.21860i | −0.952480 | − | 0.478354i | −0.0964834 | − | 0.995335i | \(-0.530759\pi\) |
−0.855997 | + | 0.516981i | \(0.827056\pi\) | |||||||
\(14\) | 10.5993 | + | 16.1155i | 0.757096 | + | 1.15111i | ||||
\(15\) | −3.35746 | + | 0.0926729i | −0.223830 | + | 0.00617820i | ||||
\(16\) | −10.4243 | − | 2.47061i | −0.651520 | − | 0.154413i | ||||
\(17\) | −4.42763 | + | 12.1648i | −0.260449 | + | 0.715577i | 0.738689 | + | 0.674047i | \(0.235445\pi\) |
−0.999137 | + | 0.0415300i | \(0.986777\pi\) | |||||||
\(18\) | 13.7990 | + | 6.98180i | 0.766609 | + | 0.387878i | ||||
\(19\) | −11.5385 | + | 4.19968i | −0.607292 | + | 0.221036i | −0.627318 | − | 0.778763i | \(-0.715847\pi\) |
0.0200262 | + | 0.999799i | \(0.493625\pi\) | |||||||
\(20\) | −0.136142 | − | 1.16477i | −0.00680708 | − | 0.0582383i | ||||
\(21\) | 30.5425 | − | 14.1867i | 1.45440 | − | 0.675556i | ||||
\(22\) | 7.01266 | + | 7.43299i | 0.318757 | + | 0.337863i | ||||
\(23\) | −0.0559966 | − | 0.0416879i | −0.00243463 | − | 0.00181252i | 0.595941 | − | 0.803029i | \(-0.296779\pi\) |
−0.598375 | + | 0.801216i | \(0.704187\pi\) | |||||||
\(24\) | −9.64251 | + | 24.1664i | −0.401771 | + | 1.00693i | ||||
\(25\) | 21.2207 | − | 10.6574i | 0.848827 | − | 0.426297i | ||||
\(26\) | 20.6191 | + | 11.9045i | 0.793043 | + | 0.457864i | ||||
\(27\) | 15.5855 | − | 22.0475i | 0.577241 | − | 0.816574i | ||||
\(28\) | 5.87903 | + | 10.1828i | 0.209965 | + | 0.363671i | ||||
\(29\) | −21.4124 | + | 32.5560i | −0.738360 | + | 1.12262i | 0.249666 | + | 0.968332i | \(0.419679\pi\) |
−0.988026 | + | 0.154289i | \(0.950691\pi\) | |||||||
\(30\) | 5.76862 | + | 0.176474i | 0.192287 | + | 0.00588247i | ||||
\(31\) | 5.86369 | + | 13.5936i | 0.189151 | + | 0.438502i | 0.986231 | − | 0.165372i | \(-0.0528824\pi\) |
−0.797080 | + | 0.603874i | \(0.793623\pi\) | |||||||
\(32\) | −15.5997 | − | 4.67024i | −0.487491 | − | 0.145945i | ||||
\(33\) | 14.6301 | − | 10.2115i | 0.443335 | − | 0.309441i | ||||
\(34\) | 8.81051 | − | 20.4251i | 0.259133 | − | 0.600737i | ||||
\(35\) | 8.07844 | − | 9.62750i | 0.230812 | − | 0.275072i | ||||
\(36\) | 8.14989 | + | 4.73786i | 0.226386 | + | 0.131607i | ||||
\(37\) | −43.6214 | + | 36.6027i | −1.17896 | + | 0.989262i | −0.178971 | + | 0.983854i | \(0.557277\pi\) |
−0.999985 | + | 0.00540719i | \(0.998279\pi\) | |||||||
\(38\) | 20.2127 | − | 6.05129i | 0.531914 | − | 0.159245i | ||||
\(39\) | 25.8308 | − | 32.5682i | 0.662327 | − | 0.835083i | ||||
\(40\) | 0.564594 | + | 9.69371i | 0.0141149 | + | 0.242343i | ||||
\(41\) | 40.2037 | − | 2.34160i | 0.980578 | − | 0.0571122i | 0.439640 | − | 0.898174i | \(-0.355106\pi\) |
0.540939 | + | 0.841062i | \(0.318069\pi\) | |||||||
\(42\) | −53.8097 | + | 21.2842i | −1.28118 | + | 0.506767i | ||||
\(43\) | −15.8634 | − | 52.9875i | −0.368917 | − | 1.23227i | −0.918027 | − | 0.396518i | \(-0.870218\pi\) |
0.549110 | − | 0.835750i | \(-0.314967\pi\) | |||||||
\(44\) | 4.00410 | + | 4.77190i | 0.0910022 | + | 0.108452i | ||||
\(45\) | 1.77935 | − | 9.91786i | 0.0395412 | − | 0.220397i | ||||
\(46\) | 0.0918911 | + | 0.0771058i | 0.00199763 | + | 0.00167621i | ||||
\(47\) | −74.4170 | − | 32.1004i | −1.58334 | − | 0.682986i | −0.591017 | − | 0.806659i | \(-0.701274\pi\) |
−0.992323 | + | 0.123672i | \(0.960533\pi\) | |||||||
\(48\) | 13.6261 | − | 29.1078i | 0.283878 | − | 0.606411i | ||||
\(49\) | −22.0872 | + | 73.7762i | −0.450758 | + | 1.50564i | ||||
\(50\) | −37.4666 | + | 16.1615i | −0.749332 | + | 0.323230i | ||||
\(51\) | −33.0239 | − | 20.4376i | −0.647528 | − | 0.400738i | ||||
\(52\) | 12.1258 | + | 7.97527i | 0.233189 | + | 0.153371i | ||||
\(53\) | −22.8397 | + | 13.1865i | −0.430938 | + | 0.248802i | −0.699746 | − | 0.714391i | \(-0.746704\pi\) |
0.268808 | + | 0.963194i | \(0.413370\pi\) | |||||||
\(54\) | −28.9381 | + | 36.2630i | −0.535890 | + | 0.671536i | ||||
\(55\) | 3.32913 | − | 5.76623i | 0.0605297 | − | 0.104841i | ||||
\(56\) | −43.6946 | − | 87.0031i | −0.780261 | − | 1.55363i | ||||
\(57\) | −5.28443 | − | 36.4562i | −0.0927093 | − | 0.639582i | ||||
\(58\) | 39.9834 | − | 53.7071i | 0.689370 | − | 0.925984i | ||||
\(59\) | −8.34391 | + | 7.87207i | −0.141422 | + | 0.133425i | −0.753702 | − | 0.657216i | \(-0.771734\pi\) |
0.612280 | + | 0.790641i | \(0.290252\pi\) | |||||||
\(60\) | 3.50424 | + | 0.311856i | 0.0584039 | + | 0.00519760i | ||||
\(61\) | −38.0337 | + | 4.44550i | −0.623503 | + | 0.0728770i | −0.421978 | − | 0.906606i | \(-0.638664\pi\) |
−0.201525 | + | 0.979483i | \(0.564590\pi\) | |||||||
\(62\) | −8.70040 | − | 23.9041i | −0.140329 | − | 0.385551i | ||||
\(63\) | 23.0052 | + | 98.3753i | 0.365162 | + | 1.56151i | ||||
\(64\) | 66.5611 | + | 24.2262i | 1.04002 | + | 0.378535i | ||||
\(65\) | 3.57754 | − | 15.0948i | 0.0550390 | − | 0.232228i | ||||
\(66\) | −26.1165 | + | 16.0551i | −0.395705 | + | 0.243259i | ||||
\(67\) | 80.0672 | − | 52.6610i | 1.19503 | − | 0.785985i | 0.213437 | − | 0.976957i | \(-0.431534\pi\) |
0.981596 | + | 0.190971i | \(0.0611638\pi\) | |||||||
\(68\) | 6.08558 | − | 12.1174i | 0.0894938 | − | 0.178197i | ||||
\(69\) | 0.156658 | − | 0.138995i | 0.00227041 | − | 0.00201442i | ||||
\(70\) | −14.8196 | + | 15.7078i | −0.211708 | + | 0.224398i | ||||
\(71\) | 118.033 | − | 20.8124i | 1.66244 | − | 0.293133i | 0.738096 | − | 0.674696i | \(-0.235725\pi\) |
0.924343 | + | 0.381563i | \(0.124614\pi\) | |||||||
\(72\) | −65.0874 | − | 43.0878i | −0.903992 | − | 0.598441i | ||||
\(73\) | 4.87242 | − | 27.6329i | 0.0667455 | − | 0.378533i | −0.933077 | − | 0.359678i | \(-0.882887\pi\) |
0.999822 | − | 0.0188553i | \(-0.00600218\pi\) | |||||||
\(74\) | 78.4848 | − | 58.4298i | 1.06061 | − | 0.789592i | ||||
\(75\) | 18.3354 | + | 68.8397i | 0.244472 | + | 0.917862i | ||||
\(76\) | 12.5149 | − | 2.96609i | 0.164670 | − | 0.0390275i | ||||
\(77\) | −7.75028 | + | 66.3079i | −0.100653 | + | 0.861142i | ||||
\(78\) | −47.5638 | + | 53.2866i | −0.609793 | + | 0.683161i | ||||
\(79\) | 1.46602 | − | 25.1706i | 0.0185572 | − | 0.318615i | −0.976237 | − | 0.216707i | \(-0.930468\pi\) |
0.994794 | − | 0.101908i | \(-0.0324946\pi\) | |||||||
\(80\) | − | 11.9941i | − | 0.149927i | ||||||
\(81\) | 55.2326 | + | 59.2483i | 0.681883 | + | 0.731461i | ||||
\(82\) | −69.1991 | −0.843892 | ||||||||
\(83\) | −57.8010 | − | 3.36653i | −0.696398 | − | 0.0405606i | −0.293706 | − | 0.955896i | \(-0.594889\pi\) |
−0.402692 | + | 0.915335i | \(0.631926\pi\) | |||||||
\(84\) | −33.5003 | + | 11.0453i | −0.398813 | + | 0.131491i | ||||
\(85\) | −14.3955 | − | 1.68260i | −0.169359 | − | 0.0197952i | ||||
\(86\) | 21.9180 | + | 92.4794i | 0.254861 | + | 1.07534i | ||||
\(87\) | −82.5368 | − | 82.7838i | −0.948699 | − | 0.951538i | ||||
\(88\) | −30.8012 | − | 41.3731i | −0.350013 | − | 0.470149i | ||||
\(89\) | 100.343 | + | 17.6931i | 1.12744 | + | 0.198799i | 0.706107 | − | 0.708105i | \(-0.250450\pi\) |
0.421338 | + | 0.906904i | \(0.361561\pi\) | |||||||
\(90\) | −4.04318 | + | 16.8353i | −0.0449243 | + | 0.187058i | ||||
\(91\) | 27.0094 | + | 153.178i | 0.296807 | + | 1.68328i | ||||
\(92\) | 0.0531873 | + | 0.0501797i | 0.000578123 | + | 0.000545431i | ||||
\(93\) | −43.5088 | + | 8.91610i | −0.467836 | + | 0.0958720i | ||||
\(94\) | 124.447 | + | 62.4998i | 1.32391 | + | 0.664891i | ||||
\(95\) | −7.55430 | − | 11.4858i | −0.0795190 | − | 0.120903i | ||||
\(96\) | 23.2491 | − | 42.9644i | 0.242178 | − | 0.447545i | ||||
\(97\) | 122.813 | + | 29.1072i | 1.26611 | + | 0.300074i | 0.808192 | − | 0.588919i | \(-0.200446\pi\) |
0.457920 | + | 0.888993i | \(0.348594\pi\) | |||||||
\(98\) | 45.2592 | − | 124.349i | 0.461828 | − | 1.26886i | ||||
\(99\) | 21.0529 | + | 49.2098i | 0.212655 | + | 0.497069i | ||||
\(100\) | −23.3731 | + | 8.50712i | −0.233731 | + | 0.0850712i | ||||
\(101\) | 17.0744 | + | 146.080i | 0.169053 | + | 1.44634i | 0.765369 | + | 0.643591i | \(0.222556\pi\) |
−0.596316 | + | 0.802750i | \(0.703370\pi\) | |||||||
\(102\) | 54.6071 | + | 38.3580i | 0.535364 | + | 0.376059i | ||||
\(103\) | −20.9861 | − | 22.2439i | −0.203748 | − | 0.215961i | 0.617440 | − | 0.786618i | \(-0.288170\pi\) |
−0.821188 | + | 0.570658i | \(0.806688\pi\) | |||||||
\(104\) | −96.3944 | − | 71.7630i | −0.926870 | − | 0.690029i | ||||
\(105\) | 23.3408 | + | 29.6101i | 0.222293 | + | 0.282001i | ||||
\(106\) | 40.4966 | − | 20.3382i | 0.382043 | − | 0.191869i | ||||
\(107\) | −175.591 | − | 101.377i | −1.64104 | − | 0.947453i | −0.980466 | − | 0.196690i | \(-0.936981\pi\) |
−0.660571 | − | 0.750763i | \(-0.729686\pi\) | |||||||
\(108\) | −18.8955 | + | 21.0421i | −0.174959 | + | 0.194835i | ||||
\(109\) | −90.5634 | − | 156.860i | −0.830857 | − | 1.43909i | −0.897360 | − | 0.441300i | \(-0.854517\pi\) |
0.0665026 | − | 0.997786i | \(-0.478816\pi\) | |||||||
\(110\) | −6.28688 | + | 9.55874i | −0.0571535 | + | 0.0868976i | ||||
\(111\) | −80.8518 | − | 150.487i | −0.728394 | − | 1.35574i | ||||
\(112\) | 47.6324 | + | 110.424i | 0.425289 | + | 0.985932i | ||||
\(113\) | −25.6711 | − | 7.68542i | −0.227178 | − | 0.0680125i | 0.171191 | − | 0.985238i | \(-0.445238\pi\) |
−0.398369 | + | 0.917225i | \(0.630424\pi\) | |||||||
\(114\) | 5.42253 | + | 63.0646i | 0.0475661 | + | 0.553199i | ||||
\(115\) | 0.0309569 | − | 0.0717662i | 0.000269190 | − | 0.000624054i | ||||
\(116\) | 26.2355 | − | 31.2662i | 0.226168 | − | 0.269537i | ||||
\(117\) | 79.8729 | + | 95.7684i | 0.682674 | + | 0.818533i | ||||
\(118\) | 15.0996 | − | 12.6701i | 0.127963 | − | 0.107373i | ||||
\(119\) | 139.215 | − | 41.6782i | 1.16987 | − | 0.350237i | ||||
\(120\) | −28.8165 | − | 4.26497i | −0.240137 | − | 0.0355414i | ||||
\(121\) | −4.97904 | − | 85.4869i | −0.0411491 | − | 0.706503i | ||||
\(122\) | 65.6869 | − | 3.82582i | 0.538417 | − | 0.0313592i | ||||
\(123\) | −17.6886 | + | 119.514i | −0.143809 | + | 0.971655i | ||||
\(124\) | −4.44736 | − | 14.8552i | −0.0358658 | − | 0.119800i | ||||
\(125\) | 35.0805 | + | 41.8073i | 0.280644 | + | 0.334459i | ||||
\(126\) | −29.6343 | − | 171.051i | −0.235192 | − | 1.35755i | ||||
\(127\) | −92.7360 | − | 77.8147i | −0.730205 | − | 0.612714i | 0.199983 | − | 0.979799i | \(-0.435911\pi\) |
−0.930187 | + | 0.367085i | \(0.880356\pi\) | |||||||
\(128\) | −51.9498 | − | 22.4090i | −0.405858 | − | 0.175070i | ||||
\(129\) | 165.323 | − | 14.2151i | 1.28158 | − | 0.110195i | ||||
\(130\) | −7.64501 | + | 25.5361i | −0.0588078 | + | 0.196432i | ||||
\(131\) | −51.8509 | + | 22.3663i | −0.395808 | + | 0.170735i | −0.584675 | − | 0.811268i | \(-0.698778\pi\) |
0.188867 | + | 0.982003i | \(0.439519\pi\) | |||||||
\(132\) | −16.4623 | + | 8.84466i | −0.124714 | + | 0.0670050i | ||||
\(133\) | 115.162 | + | 75.7434i | 0.865882 | + | 0.569499i | ||||
\(134\) | −142.608 | + | 82.3348i | −1.06424 | + | 0.614439i | ||||
\(135\) | 28.0426 | + | 11.2864i | 0.207723 | + | 0.0836027i | ||||
\(136\) | −56.1384 | + | 97.2345i | −0.412782 | + | 0.714960i | ||||
\(137\) | 13.6835 | + | 27.2461i | 0.0998794 | + | 0.198876i | 0.938023 | − | 0.346574i | \(-0.112655\pi\) |
−0.838143 | + | 0.545450i | \(0.816359\pi\) | |||||||
\(138\) | −0.282617 | + | 0.222780i | −0.00204795 | + | 0.00161435i | ||||
\(139\) | −0.559660 | + | 0.751753i | −0.00402633 | + | 0.00540830i | −0.804132 | − | 0.594451i | \(-0.797369\pi\) |
0.800105 | + | 0.599859i | \(0.204777\pi\) | |||||||
\(140\) | −9.57520 | + | 9.03373i | −0.0683943 | + | 0.0645267i | ||||
\(141\) | 139.754 | − | 198.956i | 0.991164 | − | 1.41104i | ||||
\(142\) | −204.553 | + | 23.9088i | −1.44051 | + | 0.168372i | ||||
\(143\) | 28.1837 | + | 77.4342i | 0.197089 | + | 0.541498i | ||||
\(144\) | 77.1666 | + | 57.8075i | 0.535879 | + | 0.401441i | ||||
\(145\) | −40.9951 | − | 14.9210i | −0.282725 | − | 0.102903i | ||||
\(146\) | −11.1189 | + | 46.9145i | −0.0761571 | + | 0.321332i | ||||
\(147\) | −203.193 | − | 109.953i | −1.38227 | − | 0.747978i | ||||
\(148\) | 49.8329 | − | 32.7756i | 0.336709 | − | 0.221457i | ||||
\(149\) | 10.5461 | − | 20.9990i | 0.0707792 | − | 0.140933i | −0.855460 | − | 0.517868i | \(-0.826726\pi\) |
0.926240 | + | 0.376935i | \(0.123022\pi\) | |||||||
\(150\) | −24.5746 | − | 119.919i | −0.163831 | − | 0.799460i | ||||
\(151\) | −124.071 | + | 131.507i | −0.821661 | + | 0.870910i | −0.993455 | − | 0.114223i | \(-0.963562\pi\) |
0.171794 | + | 0.985133i | \(0.445044\pi\) | |||||||
\(152\) | −104.879 | + | 18.4929i | −0.689991 | + | 0.121664i | ||||
\(153\) | 80.2066 | − | 84.5068i | 0.524226 | − | 0.552332i | ||||
\(154\) | 19.9196 | − | 112.970i | 0.129348 | − | 0.733570i | ||||
\(155\) | −13.2949 | + | 9.89766i | −0.0857733 | + | 0.0638559i | ||||
\(156\) | −30.8336 | + | 30.7417i | −0.197652 | + | 0.197062i | ||||
\(157\) | −210.810 | + | 49.9628i | −1.34274 | + | 0.318234i | −0.838297 | − | 0.545213i | \(-0.816449\pi\) |
−0.504439 | + | 0.863448i | \(0.668300\pi\) | |||||||
\(158\) | −5.02960 | + | 43.0310i | −0.0318329 | + | 0.272348i | ||||
\(159\) | −24.7743 | − | 75.1404i | −0.155813 | − | 0.472581i | ||||
\(160\) | 1.06004 | − | 18.2001i | 0.00662523 | − | 0.113751i | ||||
\(161\) | 0.783656i | 0.00486743i | ||||||||
\(162\) | −88.8261 | − | 107.152i | −0.548309 | − | 0.661435i | ||||
\(163\) | 35.2293 | 0.216131 | 0.108065 | − | 0.994144i | \(-0.465534\pi\) | ||||
0.108065 | + | 0.994144i | \(0.465534\pi\) | |||||||
\(164\) | −42.1111 | − | 2.45269i | −0.256775 | − | 0.0149554i | ||||
\(165\) | 14.9018 | + | 13.3014i | 0.0903141 | + | 0.0806148i | ||||
\(166\) | 98.8152 | + | 11.5498i | 0.595272 | + | 0.0695773i | ||||
\(167\) | 23.3986 | + | 98.7263i | 0.140111 | + | 0.591176i | 0.997118 | + | 0.0758701i | \(0.0241734\pi\) |
−0.857006 | + | 0.515306i | \(0.827678\pi\) | |||||||
\(168\) | 282.237 | − | 75.1735i | 1.67998 | − | 0.447461i | ||||
\(169\) | 13.7292 | + | 18.4415i | 0.0812379 | + | 0.109121i | ||||
\(170\) | 24.5259 | + | 4.32457i | 0.144270 | + | 0.0254387i | ||||
\(171\) | 110.305 | + | 6.75523i | 0.645058 | + | 0.0395043i | ||||
\(172\) | 10.0604 | + | 57.0551i | 0.0584905 | + | 0.331716i | ||||
\(173\) | 118.318 | + | 111.627i | 0.683916 | + | 0.645242i | 0.947634 | − | 0.319358i | \(-0.103467\pi\) |
−0.263718 | + | 0.964600i | \(0.584949\pi\) | |||||||
\(174\) | 133.312 | + | 150.253i | 0.766162 | + | 0.863523i | ||||
\(175\) | −238.213 | − | 119.635i | −1.36121 | − | 0.683628i | ||||
\(176\) | 35.0103 | + | 53.2306i | 0.198922 | + | 0.302447i | ||||
\(177\) | −18.0227 | − | 29.3171i | −0.101823 | − | 0.165634i | ||||
\(178\) | −170.359 | − | 40.3759i | −0.957075 | − | 0.226831i | ||||
\(179\) | 27.7178 | − | 76.1541i | 0.154848 | − | 0.425442i | −0.837875 | − | 0.545862i | \(-0.816202\pi\) |
0.992723 | + | 0.120421i | \(0.0384244\pi\) | |||||||
\(180\) | −3.05719 | + | 10.1018i | −0.0169844 | + | 0.0561210i | ||||
\(181\) | 191.681 | − | 69.7661i | 1.05901 | − | 0.385448i | 0.246954 | − | 0.969027i | \(-0.420570\pi\) |
0.812056 | + | 0.583579i | \(0.198348\pi\) | |||||||
\(182\) | −31.0278 | − | 265.459i | −0.170482 | − | 1.45857i | ||||
\(183\) | 10.1832 | − | 114.426i | 0.0556458 | − | 0.625276i | ||||
\(184\) | −0.415497 | − | 0.440401i | −0.00225814 | − | 0.00239348i | ||||
\(185\) | −51.1377 | − | 38.0706i | −0.276420 | − | 0.205787i | ||||
\(186\) | 75.5254 | − | 10.9476i | 0.406051 | − | 0.0588583i | ||||
\(187\) | 68.7995 | − | 34.5524i | 0.367912 | − | 0.184772i | ||||
\(188\) | 73.5171 | + | 42.4451i | 0.391048 | + | 0.225772i | ||||
\(189\) | −302.996 | + | 7.45755i | −1.60316 | + | 0.0394579i | ||||
\(190\) | 11.8111 | + | 20.4574i | 0.0621635 | + | 0.107670i | ||||
\(191\) | −181.645 | + | 276.178i | −0.951023 | + | 1.44596i | −0.0567758 | + | 0.998387i | \(0.518082\pi\) |
−0.894247 | + | 0.447573i | \(0.852288\pi\) | |||||||
\(192\) | −111.827 | + | 180.694i | −0.582431 | + | 0.941115i | ||||
\(193\) | −40.2177 | − | 93.2351i | −0.208382 | − | 0.483084i | 0.781686 | − | 0.623672i | \(-0.214360\pi\) |
−0.990068 | + | 0.140588i | \(0.955101\pi\) | |||||||
\(194\) | −207.764 | − | 62.2006i | −1.07095 | − | 0.320621i | ||||
\(195\) | 42.1491 | + | 19.7312i | 0.216149 | + | 0.101186i | ||||
\(196\) | 31.9499 | − | 74.0681i | 0.163009 | − | 0.377898i | ||||
\(197\) | −136.481 | + | 162.652i | −0.692798 | + | 0.825645i | −0.991691 | − | 0.128642i | \(-0.958938\pi\) |
0.298893 | + | 0.954287i | \(0.403383\pi\) | |||||||
\(198\) | −31.1974 | − | 86.5176i | −0.157563 | − | 0.436957i | ||||
\(199\) | 6.68377 | − | 5.60834i | 0.0335868 | − | 0.0281826i | −0.625840 | − | 0.779952i | \(-0.715244\pi\) |
0.659427 | + | 0.751769i | \(0.270799\pi\) | |||||||
\(200\) | 197.302 | − | 59.0684i | 0.986511 | − | 0.295342i | ||||
\(201\) | 105.747 | + | 267.344i | 0.526105 | + | 1.33007i | ||||
\(202\) | −14.6943 | − | 252.291i | −0.0727440 | − | 1.24897i | ||||
\(203\) | 436.678 | − | 25.4336i | 2.15112 | − | 0.125289i | ||||
\(204\) | 31.8716 | + | 25.2782i | 0.156233 | + | 0.123913i | ||||
\(205\) | 12.9312 | + | 43.1933i | 0.0630792 | + | 0.210699i | ||||
\(206\) | 33.7770 | + | 40.2538i | 0.163966 | + | 0.195407i | ||||
\(207\) | 0.312520 | + | 0.545054i | 0.00150976 | + | 0.00263311i | ||||
\(208\) | 113.713 | + | 95.4163i | 0.546696 | + | 0.458732i | ||||
\(209\) | 67.0528 | + | 28.9237i | 0.320827 | + | 0.138391i | ||||
\(210\) | −37.0803 | − | 53.1249i | −0.176573 | − | 0.252976i | ||||
\(211\) | −25.0701 | + | 83.7399i | −0.118815 | + | 0.396871i | −0.996620 | − | 0.0821473i | \(-0.973822\pi\) |
0.877805 | + | 0.479019i | \(0.159007\pi\) | |||||||
\(212\) | 25.3651 | − | 10.9414i | 0.119646 | − | 0.0516104i | ||||
\(213\) | −10.9946 | + | 359.394i | −0.0516178 | + | 1.68729i | ||||
\(214\) | 291.079 | + | 191.446i | 1.36018 | + | 0.894606i | ||||
\(215\) | 53.6288 | − | 30.9626i | 0.249436 | − | 0.144012i | ||||
\(216\) | 166.325 | − | 164.841i | 0.770022 | − | 0.763151i | ||||
\(217\) | 83.0928 | − | 143.921i | 0.382916 | − | 0.663230i | ||||
\(218\) | 139.680 | + | 278.126i | 0.640734 | + | 1.27581i | ||||
\(219\) | 78.1837 | + | 31.1957i | 0.357003 | + | 0.142446i | ||||
\(220\) | −4.16468 | + | 5.59413i | −0.0189304 | + | 0.0254279i | ||||
\(221\) | 130.472 | − | 123.094i | 0.590371 | − | 0.556986i | ||||
\(222\) | 123.657 | + | 266.222i | 0.557015 | + | 1.19920i | ||||
\(223\) | −111.248 | + | 13.0030i | −0.498870 | + | 0.0583095i | −0.361807 | − | 0.932253i | \(-0.617840\pi\) |
−0.137062 | + | 0.990562i | \(0.543766\pi\) | |||||||
\(224\) | 62.5190 | + | 171.770i | 0.279103 | + | 0.766829i | ||||
\(225\) | −213.393 | + | 11.7892i | −0.948415 | + | 0.0523965i | ||||
\(226\) | 43.2682 | + | 15.7483i | 0.191452 | + | 0.0696828i | ||||
\(227\) | 14.4334 | − | 60.8994i | 0.0635834 | − | 0.268279i | −0.931963 | − | 0.362554i | \(-0.881905\pi\) |
0.995546 | + | 0.0942744i | \(0.0300531\pi\) | |||||||
\(228\) | 1.06462 | + | 38.5701i | 0.00466938 | + | 0.169167i | ||||
\(229\) | −132.666 | + | 87.2560i | −0.579329 | + | 0.381031i | −0.805090 | − | 0.593152i | \(-0.797883\pi\) |
0.225762 | + | 0.974183i | \(0.427513\pi\) | |||||||
\(230\) | −0.0602734 | + | 0.120014i | −0.000262058 | + | 0.000521801i | ||||
\(231\) | −190.018 | − | 63.2803i | −0.822589 | − | 0.273941i | ||||
\(232\) | −231.920 | + | 245.821i | −0.999657 | + | 1.05957i | ||||
\(233\) | −130.655 | + | 23.0379i | −0.560749 | + | 0.0988752i | −0.446837 | − | 0.894616i | \(-0.647449\pi\) |
−0.113912 | + | 0.993491i | \(0.536338\pi\) | |||||||
\(234\) | −127.445 | − | 172.261i | −0.544638 | − | 0.736156i | ||||
\(235\) | 15.7562 | − | 89.3580i | 0.0670478 | − | 0.380247i | ||||
\(236\) | 9.63792 | − | 7.17517i | 0.0408386 | − | 0.0304032i | ||||
\(237\) | 73.0330 | + | 19.6861i | 0.308156 | + | 0.0830637i | ||||
\(238\) | −242.972 | + | 57.5855i | −1.02089 | + | 0.241956i | ||||
\(239\) | 52.7232 | − | 451.076i | 0.220599 | − | 1.88735i | −0.199542 | − | 0.979889i | \(-0.563945\pi\) |
0.420141 | − | 0.907459i | \(-0.361980\pi\) | |||||||
\(240\) | 35.2282 | + | 7.32891i | 0.146784 | + | 0.0305371i | ||||
\(241\) | 8.10649 | − | 139.183i | 0.0336369 | − | 0.577523i | −0.938815 | − | 0.344421i | \(-0.888075\pi\) |
0.972452 | − | 0.233102i | \(-0.0748877\pi\) | |||||||
\(242\) | 147.141i | 0.608021i | ||||||||
\(243\) | −207.768 | + | 126.021i | −0.855014 | + | 0.518605i | ||||
\(244\) | 40.1093 | 0.164382 | ||||||||
\(245\) | −86.0746 | − | 5.01327i | −0.351325 | − | 0.0204623i | ||||
\(246\) | 42.2835 | − | 203.246i | 0.171884 | − | 0.826202i | ||||
\(247\) | 168.989 | + | 19.7520i | 0.684167 | + | 0.0799676i | ||||
\(248\) | 29.6107 | + | 124.937i | 0.119398 | + | 0.503779i | ||||
\(249\) | 45.2066 | − | 167.711i | 0.181553 | − | 0.673538i | ||||
\(250\) | −55.9999 | − | 75.2209i | −0.224000 | − | 0.300884i | ||||
\(251\) | −34.5998 | − | 6.10087i | −0.137848 | − | 0.0243063i | 0.104299 | − | 0.994546i | \(-0.466740\pi\) |
−0.242146 | + | 0.970240i | \(0.577851\pi\) | |||||||
\(252\) | −11.9712 | − | 105.143i | −0.0475047 | − | 0.417235i | ||||
\(253\) | 0.0720937 | + | 0.408864i | 0.000284955 | + | 0.00161606i | ||||
\(254\) | 151.304 | + | 142.748i | 0.595686 | + | 0.562001i | ||||
\(255\) | 13.7382 | − | 41.2531i | 0.0538754 | − | 0.161777i | ||||
\(256\) | −166.319 | − | 83.5283i | −0.649682 | − | 0.326282i | ||||
\(257\) | −220.085 | − | 334.623i | −0.856361 | − | 1.30203i | −0.951838 | − | 0.306602i | \(-0.900808\pi\) |
0.0954770 | − | 0.995432i | \(-0.469562\pi\) | |||||||
\(258\) | −285.015 | + | 7.86702i | −1.10471 | + | 0.0304923i | ||||
\(259\) | 621.990 | + | 147.414i | 2.40151 | + | 0.569167i | ||||
\(260\) | −5.55747 | + | 15.2690i | −0.0213749 | + | 0.0587270i | ||||
\(261\) | 293.579 | − | 191.836i | 1.12482 | − | 0.735003i | ||||
\(262\) | 91.1793 | − | 33.1865i | 0.348012 | − | 0.126666i | ||||
\(263\) | −32.0737 | − | 274.408i | −0.121953 | − | 1.04338i | −0.906177 | − | 0.422899i | \(-0.861013\pi\) |
0.784224 | − | 0.620478i | \(-0.213062\pi\) | |||||||
\(264\) | 140.338 | − | 65.1858i | 0.531584 | − | 0.246916i | ||||
\(265\) | −20.2625 | − | 21.4769i | −0.0764621 | − | 0.0810451i | ||||
\(266\) | −189.981 | − | 141.436i | −0.714215 | − | 0.531713i | ||||
\(267\) | −113.280 | + | 283.906i | −0.424270 | + | 1.06332i | ||||
\(268\) | −89.7024 | + | 45.0502i | −0.334710 | + | 0.168098i | ||||
\(269\) | −268.421 | − | 154.973i | −0.997848 | − | 0.576108i | −0.0902374 | − | 0.995920i | \(-0.528763\pi\) |
−0.907611 | + | 0.419812i | \(0.862096\pi\) | |||||||
\(270\) | −46.9765 | − | 22.1623i | −0.173987 | − | 0.0820826i | ||||
\(271\) | 20.6211 | + | 35.7168i | 0.0760927 | + | 0.131796i | 0.901561 | − | 0.432652i | \(-0.142422\pi\) |
−0.825468 | + | 0.564449i | \(0.809089\pi\) | |||||||
\(272\) | 76.2095 | − | 115.871i | 0.280182 | − | 0.425996i | ||||
\(273\) | −466.405 | − | 14.2683i | −1.70844 | − | 0.0522649i | ||||
\(274\) | −20.7504 | − | 48.1048i | −0.0757314 | − | 0.175565i | ||||
\(275\) | −135.291 | − | 40.5034i | −0.491966 | − | 0.147285i | ||||
\(276\) | −0.179883 | + | 0.125555i | −0.000651750 | + | 0.000454911i | ||||
\(277\) | 178.088 | − | 412.855i | 0.642917 | − | 1.49045i | −0.214975 | − | 0.976620i | \(-0.568967\pi\) |
0.857892 | − | 0.513830i | \(-0.171774\pi\) | |||||||
\(278\) | 1.03514 | − | 1.23364i | 0.00372354 | − | 0.00443754i | ||||
\(279\) | 0.398040 | − | 133.238i | 0.00142667 | − | 0.477556i | ||||
\(280\) | 83.4996 | − | 70.0645i | 0.298213 | − | 0.250230i | ||||
\(281\) | −283.016 | + | 84.7295i | −1.00717 | + | 0.301528i | −0.747567 | − | 0.664186i | \(-0.768778\pi\) |
−0.259607 | + | 0.965714i | \(0.583593\pi\) | |||||||
\(282\) | −259.611 | + | 327.326i | −0.920607 | + | 1.16073i | ||||
\(283\) | 5.25979 | + | 90.3072i | 0.0185858 | + | 0.319107i | 0.994768 | + | 0.102156i | \(0.0325741\pi\) |
−0.976183 | + | 0.216951i | \(0.930389\pi\) | |||||||
\(284\) | −125.328 | + | 7.29951i | −0.441295 | + | 0.0257025i | ||||
\(285\) | 38.3510 | − | 15.1696i | 0.134565 | − | 0.0532266i | ||||
\(286\) | −40.6097 | − | 135.646i | −0.141992 | − | 0.474287i | ||||
\(287\) | −290.586 | − | 346.306i | −1.01249 | − | 1.20664i | ||||
\(288\) | 111.985 | + | 94.5381i | 0.388837 | + | 0.328257i | ||||
\(289\) | 93.0082 | + | 78.0432i | 0.321828 | + | 0.270046i | ||||
\(290\) | 68.8319 | + | 29.6912i | 0.237351 | + | 0.102383i | ||||
\(291\) | −160.535 | + | 342.930i | −0.551666 | + | 1.17845i | ||||
\(292\) | −8.42926 | + | 28.1557i | −0.0288673 | + | 0.0964236i | ||||
\(293\) | 381.849 | − | 164.713i | 1.30324 | − | 0.562162i | 0.372562 | − | 0.928007i | \(-0.378479\pi\) |
0.930676 | + | 0.365845i | \(0.119220\pi\) | |||||||
\(294\) | 337.570 | + | 208.913i | 1.14820 | + | 0.710589i | ||||
\(295\) | −10.7302 | − | 7.05734i | −0.0363735 | − | 0.0239232i | ||||
\(296\) | −427.707 | + | 246.937i | −1.44496 | + | 0.834246i | ||||
\(297\) | −157.399 | + | 31.7655i | −0.529962 | + | 0.106955i | ||||
\(298\) | −20.1887 | + | 34.9679i | −0.0677474 | + | 0.117342i | ||||
\(299\) | 0.434123 | + | 0.864410i | 0.00145192 | + | 0.00289100i | ||||
\(300\) | −10.7044 | − | 73.8477i | −0.0356815 | − | 0.246159i | ||||
\(301\) | −370.773 | + | 498.034i | −1.23180 | + | 1.65460i | ||||
\(302\) | 225.969 | − | 213.191i | 0.748242 | − | 0.705930i | ||||
\(303\) | −439.488 | − | 39.1118i | −1.45045 | − | 0.129082i | ||||
\(304\) | 130.657 | − | 15.2716i | 0.429793 | − | 0.0502356i | ||||
\(305\) | −14.6629 | − | 40.2861i | −0.0480752 | − | 0.132086i | ||||
\(306\) | −146.029 | + | 136.949i | −0.477219 | + | 0.447546i | ||||
\(307\) | 444.083 | + | 161.633i | 1.44652 | + | 0.526492i | 0.941618 | − | 0.336683i | \(-0.109305\pi\) |
0.504906 | + | 0.863175i | \(0.331527\pi\) | |||||||
\(308\) | 16.1262 | − | 68.0417i | 0.0523577 | − | 0.220915i | ||||
\(309\) | 78.1563 | − | 48.0465i | 0.252933 | − | 0.155490i | ||||
\(310\) | 23.7948 | − | 15.6501i | 0.0767574 | − | 0.0504842i | ||||
\(311\) | 95.2565 | − | 189.671i | 0.306291 | − | 0.609875i | −0.686850 | − | 0.726799i | \(-0.741007\pi\) |
0.993141 | + | 0.116924i | \(0.0373034\pi\) | |||||||
\(312\) | 269.677 | − | 239.271i | 0.864349 | − | 0.766895i | ||||
\(313\) | −391.304 | + | 414.758i | −1.25017 | + | 1.32511i | −0.324925 | + | 0.945740i | \(0.605339\pi\) |
−0.925247 | + | 0.379366i | \(0.876142\pi\) | |||||||
\(314\) | 366.613 | − | 64.6438i | 1.16756 | − | 0.205872i | ||||
\(315\) | −101.230 | + | 50.4616i | −0.321366 | + | 0.160196i | ||||
\(316\) | −4.58595 | + | 26.0082i | −0.0145125 | + | 0.0823044i | ||||
\(317\) | −281.186 | + | 209.335i | −0.887023 | + | 0.660364i | −0.941084 | − | 0.338174i | \(-0.890191\pi\) |
0.0540610 | + | 0.998538i | \(0.482783\pi\) | |||||||
\(318\) | 34.9904 | + | 131.371i | 0.110033 | + | 0.413115i | ||||
\(319\) | 225.492 | − | 53.4426i | 0.706871 | − | 0.167532i | ||||
\(320\) | −9.20650 | + | 78.7667i | −0.0287703 | + | 0.246146i | ||||
\(321\) | 405.050 | − | 453.785i | 1.26184 | − | 1.41366i | ||||
\(322\) | 0.0782953 | − | 1.34428i | 0.000243153 | − | 0.00417478i | ||||
\(323\) | − | 158.959i | − | 0.492132i | ||||||
\(324\) | −50.2571 | − | 68.3559i | −0.155115 | − | 0.210975i | ||||
\(325\) | −329.034 | −1.01241 | ||||||||
\(326\) | −60.4321 | − | 3.51977i | −0.185375 | − | 0.0107968i | ||||
\(327\) | 516.055 | − | 170.147i | 1.57815 | − | 0.520327i | ||||
\(328\) | 346.917 | + | 40.5488i | 1.05767 | + | 0.123624i | ||||
\(329\) | 209.808 | + | 885.249i | 0.637714 | + | 2.69073i | ||||
\(330\) | −24.2336 | − | 24.3061i | −0.0734350 | − | 0.0736547i | ||||
\(331\) | 233.882 | + | 314.158i | 0.706592 | + | 0.949118i | 0.999976 | − | 0.00687657i | \(-0.00218890\pi\) |
−0.293384 | + | 0.955995i | \(0.594781\pi\) | |||||||
\(332\) | 59.7245 | + | 10.5310i | 0.179893 | + | 0.0317200i | ||||
\(333\) | 491.400 | − | 145.517i | 1.47568 | − | 0.436989i | ||||
\(334\) | −30.2740 | − | 171.692i | −0.0906407 | − | 0.514049i | ||||
\(335\) | 78.0417 | + | 73.6285i | 0.232960 | + | 0.219787i | ||||
\(336\) | −353.434 | + | 72.4280i | −1.05189 | + | 0.215560i | ||||
\(337\) | 242.002 | + | 121.538i | 0.718107 | + | 0.360647i | 0.770033 | − | 0.638004i | \(-0.220240\pi\) |
−0.0519260 | + | 0.998651i | \(0.516536\pi\) | |||||||
\(338\) | −21.7085 | − | 33.0062i | −0.0642263 | − | 0.0976514i | ||||
\(339\) | 38.2590 | − | 70.7027i | 0.112858 | − | 0.208563i | ||||
\(340\) | 14.7719 | + | 3.50101i | 0.0434469 | + | 0.0102971i | ||||
\(341\) | 30.1125 | − | 82.7334i | 0.0883064 | − | 0.242620i | ||||
\(342\) | −188.541 | − | 22.6085i | −0.551290 | − | 0.0661066i | ||||
\(343\) | 295.480 | − | 107.546i | 0.861457 | − | 0.313545i | ||||
\(344\) | −55.6915 | − | 476.471i | −0.161894 | − | 1.38509i | ||||
\(345\) | 0.191869 | + | 0.134776i | 0.000556143 | + | 0.000390655i | ||||
\(346\) | −191.808 | − | 203.305i | −0.554360 | − | 0.587587i | ||||
\(347\) | −245.207 | − | 182.550i | −0.706648 | − | 0.526080i | 0.182781 | − | 0.983154i | \(-0.441490\pi\) |
−0.889429 | + | 0.457074i | \(0.848897\pi\) | |||||||
\(348\) | 75.8015 | + | 96.1615i | 0.217820 | + | 0.276326i | ||||
\(349\) | −52.0027 | + | 26.1167i | −0.149005 | + | 0.0748330i | −0.521739 | − | 0.853105i | \(-0.674717\pi\) |
0.372734 | + | 0.927938i | \(0.378420\pi\) | |||||||
\(350\) | 396.675 | + | 229.021i | 1.13336 | + | 0.654345i | ||||
\(351\) | −330.088 | + | 176.077i | −0.940422 | + | 0.501645i | ||||
\(352\) | 48.4208 | + | 83.8673i | 0.137559 | + | 0.238259i | ||||
\(353\) | 257.225 | − | 391.092i | 0.728683 | − | 1.10791i | −0.261098 | − | 0.965312i | \(-0.584084\pi\) |
0.989781 | − | 0.142597i | \(-0.0455452\pi\) | |||||||
\(354\) | 27.9869 | + | 52.0911i | 0.0790591 | + | 0.147150i | ||||
\(355\) | 53.1483 | + | 123.212i | 0.149714 | + | 0.347075i | ||||
\(356\) | −102.241 | − | 30.6089i | −0.287194 | − | 0.0859802i | ||||
\(357\) | 37.3476 | + | 434.356i | 0.104615 | + | 1.21668i | ||||
\(358\) | −55.1555 | + | 127.865i | −0.154066 | + | 0.357164i | ||||
\(359\) | −202.060 | + | 240.805i | −0.562841 | + | 0.670767i | −0.970145 | − | 0.242525i | \(-0.922024\pi\) |
0.407304 | + | 0.913292i | \(0.366469\pi\) | |||||||
\(360\) | 30.1347 | − | 82.0312i | 0.0837076 | − | 0.227864i | ||||
\(361\) | −161.042 | + | 135.130i | −0.446098 | + | 0.374321i | ||||
\(362\) | −335.779 | + | 100.525i | −0.927565 | + | 0.277695i | ||||
\(363\) | 254.127 | + | 37.6119i | 0.700074 | + | 0.103614i | ||||
\(364\) | −9.47299 | − | 162.645i | −0.0260247 | − | 0.446827i | ||||
\(365\) | 31.3613 | − | 1.82659i | 0.0859214 | − | 0.00500435i | ||||
\(366\) | −28.9005 | + | 195.267i | −0.0789630 | + | 0.533518i | ||||
\(367\) | 97.1134 | + | 324.381i | 0.264614 | + | 0.883873i | 0.982270 | + | 0.187474i | \(0.0600301\pi\) |
−0.717655 | + | 0.696398i | \(0.754785\pi\) | |||||||
\(368\) | 0.480731 | + | 0.572913i | 0.00130634 | + | 0.00155683i | ||||
\(369\) | −340.216 | − | 124.981i | −0.921996 | − | 0.338702i | ||||
\(370\) | 83.9176 | + | 70.4152i | 0.226804 | + | 0.190311i | ||||
\(371\) | 271.838 | + | 117.260i | 0.732717 | + | 0.316063i | ||||
\(372\) | 46.3490 | − | 3.98526i | 0.124594 | − | 0.0107131i | ||||
\(373\) | 133.455 | − | 445.770i | 0.357788 | − | 1.19509i | −0.569893 | − | 0.821719i | \(-0.693015\pi\) |
0.927680 | − | 0.373375i | \(-0.121800\pi\) | |||||||
\(374\) | −121.470 | + | 52.3972i | −0.324787 | + | 0.140099i | ||||
\(375\) | −144.228 | + | 77.4894i | −0.384609 | + | 0.206639i | ||||
\(376\) | −587.270 | − | 386.254i | −1.56189 | − | 1.02727i | ||||
\(377\) | 467.587 | − | 269.961i | 1.24028 | − | 0.716078i | ||||
\(378\) | 520.503 | + | 17.4798i | 1.37699 | + | 0.0462429i | ||||
\(379\) | −154.431 | + | 267.483i | −0.407471 | + | 0.705760i | −0.994606 | − | 0.103729i | \(-0.966922\pi\) |
0.587135 | + | 0.809489i | \(0.300256\pi\) | |||||||
\(380\) | 6.46252 | + | 12.8679i | 0.0170066 | + | 0.0338630i | ||||
\(381\) | 285.216 | − | 224.828i | 0.748599 | − | 0.590100i | ||||
\(382\) | 339.186 | − | 455.606i | 0.887923 | − | 1.19269i | ||||
\(383\) | 26.4911 | − | 24.9931i | 0.0691674 | − | 0.0652561i | −0.650882 | − | 0.759179i | \(-0.725601\pi\) |
0.720049 | + | 0.693923i | \(0.244119\pi\) | |||||||
\(384\) | 97.5611 | − | 138.890i | 0.254065 | − | 0.361692i | ||||
\(385\) | −74.2369 | + | 8.67705i | −0.192823 | + | 0.0225378i | ||||
\(386\) | 59.6741 | + | 163.953i | 0.154596 | + | 0.424749i | ||||
\(387\) | −59.2679 | + | 494.260i | −0.153147 | + | 1.27716i | ||||
\(388\) | −124.230 | − | 45.2161i | −0.320181 | − | 0.116536i | ||||
\(389\) | −68.0805 | + | 287.254i | −0.175014 | + | 0.738443i | 0.812766 | + | 0.582590i | \(0.197961\pi\) |
−0.987780 | + | 0.155853i | \(0.950187\pi\) | |||||||
\(390\) | −70.3310 | − | 38.0579i | −0.180336 | − | 0.0975843i | ||||
\(391\) | 0.755057 | − | 0.496609i | 0.00193109 | − | 0.00127010i | ||||
\(392\) | −299.763 | + | 596.878i | −0.764702 | + | 1.52265i | ||||
\(393\) | −34.0093 | − | 165.959i | −0.0865376 | − | 0.422286i | ||||
\(394\) | 250.370 | − | 265.376i | 0.635456 | − | 0.673544i | ||||
\(395\) | 27.7993 | − | 4.90177i | 0.0703781 | − | 0.0124096i | ||||
\(396\) | −15.9187 | − | 53.7560i | −0.0401986 | − | 0.135747i | ||||
\(397\) | 89.9844 | − | 510.327i | 0.226661 | − | 1.28546i | −0.632824 | − | 0.774296i | \(-0.718104\pi\) |
0.859485 | − | 0.511162i | \(-0.170785\pi\) | |||||||
\(398\) | −12.0256 | + | 8.95274i | −0.0302151 | + | 0.0224943i | ||||
\(399\) | −292.836 | + | 291.962i | −0.733924 | + | 0.731735i | ||||
\(400\) | −247.542 | + | 58.6684i | −0.618854 | + | 0.146671i | ||||
\(401\) | −76.3929 | + | 653.583i | −0.190506 | + | 1.62988i | 0.472544 | + | 0.881307i | \(0.343336\pi\) |
−0.663050 | + | 0.748575i | \(0.730738\pi\) | |||||||
\(402\) | −154.687 | − | 469.166i | −0.384794 | − | 1.16708i | ||||
\(403\) | 11.9272 | − | 204.783i | 0.0295961 | − | 0.508146i | ||||
\(404\) | − | 154.053i | − | 0.381318i | ||||||
\(405\) | −50.2845 | + | 75.4678i | −0.124159 | + | 0.186340i | ||||
\(406\) | −751.615 | −1.85127 | ||||||||
\(407\) | 338.078 | + | 19.6908i | 0.830658 | + | 0.0483803i | ||||
\(408\) | −251.286 | − | 224.299i | −0.615897 | − | 0.549752i | ||||
\(409\) | −343.428 | − | 40.1409i | −0.839676 | − | 0.0981441i | −0.314626 | − | 0.949216i | \(-0.601879\pi\) |
−0.525050 | + | 0.851071i | \(0.675953\pi\) | |||||||
\(410\) | −17.8667 | − | 75.3855i | −0.0435773 | − | 0.183867i | ||||
\(411\) | −88.3859 | + | 23.5415i | −0.215051 | + | 0.0572785i | ||||
\(412\) | 19.1282 | + | 25.6936i | 0.0464277 | + | 0.0623632i | ||||
\(413\) | 126.814 | + | 22.3608i | 0.307057 | + | 0.0541424i | ||||
\(414\) | −0.481638 | − | 0.966207i | −0.00116338 | − | 0.00233383i | ||||
\(415\) | −11.2563 | − | 63.8377i | −0.0271236 | − | 0.153826i | ||||
\(416\) | 164.117 | + | 154.836i | 0.394512 | + | 0.372203i | ||||
\(417\) | −1.86601 | − | 2.10314i | −0.00447484 | − | 0.00504349i | ||||
\(418\) | −112.132 | − | 56.3149i | −0.268259 | − | 0.134725i | ||||
\(419\) | −235.305 | − | 357.764i | −0.561588 | − | 0.853853i | 0.437380 | − | 0.899277i | \(-0.355907\pi\) |
−0.998968 | + | 0.0454239i | \(0.985536\pi\) | |||||||
\(420\) | −20.6823 | − | 33.6434i | −0.0492435 | − | 0.0801034i | ||||
\(421\) | 10.2135 | + | 2.42065i | 0.0242602 | + | 0.00574977i | 0.242728 | − | 0.970094i | \(-0.421958\pi\) |
−0.218468 | + | 0.975844i | \(0.570106\pi\) | |||||||
\(422\) | 51.3715 | − | 141.142i | 0.121733 | − | 0.334460i | ||||
\(423\) | 498.962 | + | 532.044i | 1.17958 | + | 1.25779i | ||||
\(424\) | −214.940 | + | 78.2317i | −0.506933 | + | 0.184509i | ||||
\(425\) | 35.6883 | + | 305.333i | 0.0839724 | + | 0.718430i | ||||
\(426\) | 54.7672 | − | 615.403i | 0.128561 | − | 1.44461i | ||||
\(427\) | 294.983 | + | 312.664i | 0.690827 | + | 0.732234i | ||||
\(428\) | 170.350 | + | 126.821i | 0.398015 | + | 0.296311i | ||||
\(429\) | −244.654 | + | 35.4634i | −0.570290 | + | 0.0826652i | ||||
\(430\) | −95.0880 | + | 47.7550i | −0.221135 | + | 0.111058i | ||||
\(431\) | −249.380 | − | 143.979i | −0.578607 | − | 0.334059i | 0.181972 | − | 0.983304i | \(-0.441752\pi\) |
−0.760580 | + | 0.649245i | \(0.775085\pi\) | |||||||
\(432\) | −216.939 | + | 191.324i | −0.502174 | + | 0.442880i | ||||
\(433\) | −198.794 | − | 344.321i | −0.459108 | − | 0.795199i | 0.539806 | − | 0.841790i | \(-0.318498\pi\) |
−0.998914 | + | 0.0465905i | \(0.985164\pi\) | |||||||
\(434\) | −156.916 | + | 238.579i | −0.361558 | + | 0.549722i | ||||
\(435\) | 68.8743 | − | 111.290i | 0.158332 | − | 0.255839i | ||||
\(436\) | 75.1443 | + | 174.204i | 0.172349 | + | 0.399550i | ||||
\(437\) | 0.821194 | + | 0.245849i | 0.00187916 | + | 0.000562585i | ||||
\(438\) | −130.999 | − | 61.3242i | −0.299084 | − | 0.140010i | ||||
\(439\) | −13.6088 | + | 31.5488i | −0.0309996 | + | 0.0718651i | −0.933013 | − | 0.359844i | \(-0.882830\pi\) |
0.902013 | + | 0.431709i | \(0.142089\pi\) | |||||||
\(440\) | 37.1193 | − | 44.2370i | 0.0843620 | − | 0.100539i | ||||
\(441\) | 447.103 | − | 529.615i | 1.01384 | − | 1.20094i | ||||
\(442\) | −236.109 | + | 198.119i | −0.534184 | + | 0.448233i | ||||
\(443\) | 174.895 | − | 52.3601i | 0.394796 | − | 0.118194i | −0.0832504 | − | 0.996529i | \(-0.526530\pi\) |
0.478047 | + | 0.878334i | \(0.341345\pi\) | |||||||
\(444\) | 65.8157 | + | 166.392i | 0.148234 | + | 0.374757i | ||||
\(445\) | 6.63284 | + | 113.881i | 0.0149053 | + | 0.255913i | ||||
\(446\) | 192.133 | − | 11.1905i | 0.430792 | − | 0.0250908i | ||||
\(447\) | 55.2323 | + | 43.8063i | 0.123562 | + | 0.0980007i | ||||
\(448\) | −228.047 | − | 761.729i | −0.509033 | − | 1.70029i | ||||
\(449\) | −82.2467 | − | 98.0178i | −0.183178 | − | 0.218302i | 0.666640 | − | 0.745380i | \(-0.267732\pi\) |
−0.849817 | + | 0.527078i | \(0.823288\pi\) | |||||||
\(450\) | 367.232 | + | 1.09708i | 0.816070 | + | 0.00243795i | ||||
\(451\) | −183.469 | − | 153.949i | −0.406804 | − | 0.341349i | ||||
\(452\) | 25.7726 | + | 11.1172i | 0.0570191 | + | 0.0245956i | ||||
\(453\) | −310.440 | − | 444.766i | −0.685297 | − | 0.981824i | ||||
\(454\) | −30.8435 | + | 103.024i | −0.0679372 | + | 0.226926i | ||||
\(455\) | −159.899 | + | 68.9736i | −0.351426 | + | 0.151590i | ||||
\(456\) | 9.76928 | − | 319.340i | 0.0214239 | − | 0.700308i | ||||
\(457\) | 121.542 | + | 79.9392i | 0.265955 | + | 0.174922i | 0.675482 | − | 0.737377i | \(-0.263936\pi\) |
−0.409526 | + | 0.912298i | \(0.634306\pi\) | |||||||
\(458\) | 236.293 | − | 136.424i | 0.515923 | − | 0.297868i | ||||
\(459\) | 199.197 | + | 287.213i | 0.433979 | + | 0.625736i | ||||
\(460\) | −0.0409332 | + | 0.0708983i | −8.89851e−5 | + | 0.000154127i | ||||
\(461\) | 87.1199 | + | 173.470i | 0.188980 | + | 0.376291i | 0.968092 | − | 0.250594i | \(-0.0806260\pi\) |
−0.779112 | + | 0.626885i | \(0.784330\pi\) | |||||||
\(462\) | 319.633 | + | 127.535i | 0.691847 | + | 0.276051i | ||||
\(463\) | 45.4966 | − | 61.1125i | 0.0982647 | − | 0.131992i | −0.750271 | − | 0.661130i | \(-0.770077\pi\) |
0.848536 | + | 0.529138i | \(0.177485\pi\) | |||||||
\(464\) | 303.643 | − | 286.473i | 0.654403 | − | 0.617398i | ||||
\(465\) | −20.9468 | − | 45.0964i | −0.0450470 | − | 0.0969815i | ||||
\(466\) | 226.426 | − | 26.4654i | 0.485892 | − | 0.0567926i | ||||
\(467\) | 10.4408 | + | 28.6858i | 0.0223571 | + | 0.0614256i | 0.950369 | − | 0.311125i | \(-0.100706\pi\) |
−0.928012 | + | 0.372550i | \(0.878483\pi\) | |||||||
\(468\) | −71.4511 | − | 109.346i | −0.152673 | − | 0.233646i | ||||
\(469\) | −1010.89 | − | 367.935i | −2.15542 | − | 0.784510i | ||||
\(470\) | −35.9559 | + | 151.710i | −0.0765019 | + | 0.322787i | ||||
\(471\) | −17.9331 | − | 649.701i | −0.0380745 | − | 1.37941i | ||||
\(472\) | −83.1233 | + | 54.6710i | −0.176109 | + | 0.115828i | ||||
\(473\) | −147.629 | + | 293.953i | −0.312112 | + | 0.621466i | ||||
\(474\) | −123.313 | − | 41.0662i | −0.260155 | − | 0.0866375i | ||||
\(475\) | −200.098 | + | 212.091i | −0.421259 | + | 0.446508i | ||||
\(476\) | −149.902 | + | 26.4317i | −0.314919 | + | 0.0555288i | ||||
\(477\) | 235.834 | − | 26.8511i | 0.494411 | − | 0.0562916i | ||||
\(478\) | −135.508 | + | 768.506i | −0.283490 | + | 1.60775i | ||||
\(479\) | 514.560 | − | 383.076i | 1.07424 | − | 0.799741i | 0.0936085 | − | 0.995609i | \(-0.470160\pi\) |
0.980630 | + | 0.195868i | \(0.0627524\pi\) | |||||||
\(480\) | 52.8081 | + | 14.2345i | 0.110017 | + | 0.0296551i | ||||
\(481\) | 767.748 | − | 181.960i | 1.59615 | − | 0.378294i | ||||
\(482\) | −27.8117 | + | 237.944i | −0.0577005 | + | 0.493660i | ||||
\(483\) | −2.30169 | − | 0.478846i | −0.00476539 | − | 0.000991399i | ||||
\(484\) | −5.21526 | + | 89.5426i | −0.0107753 | + | 0.185005i | ||||
\(485\) | 141.308i | 0.291356i | ||||||||
\(486\) | 368.995 | − | 195.418i | 0.759249 | − | 0.402094i | ||||
\(487\) | 546.864 | 1.12292 | 0.561462 | − | 0.827502i | \(-0.310239\pi\) | ||||
0.561462 | + | 0.827502i | \(0.310239\pi\) | |||||||
\(488\) | −331.551 | − | 19.3106i | −0.679407 | − | 0.0395710i | ||||
\(489\) | −21.5265 | + | 103.472i | −0.0440216 | + | 0.211600i | ||||
\(490\) | 147.151 | + | 17.1995i | 0.300308 | + | 0.0351010i | ||||
\(491\) | 208.581 | + | 880.074i | 0.424809 | + | 1.79241i | 0.591393 | + | 0.806384i | \(0.298578\pi\) |
−0.166583 | + | 0.986027i | \(0.553273\pi\) | |||||||
\(492\) | 32.9354 | − | 122.186i | 0.0669419 | − | 0.248346i | ||||
\(493\) | −301.231 | − | 404.624i | −0.611017 | − | 0.820738i | ||||
\(494\) | −287.909 | − | 50.7662i | −0.582813 | − | 0.102766i | ||||
\(495\) | −48.1735 | + | 35.6406i | −0.0973201 | + | 0.0720013i | ||||
\(496\) | −27.5406 | − | 156.190i | −0.0555254 | − | 0.314900i | ||||
\(497\) | −978.622 | − | 923.282i | −1.96906 | − | 1.85771i | ||||
\(498\) | −94.3032 | + | 283.174i | −0.189364 | + | 0.568622i | ||||
\(499\) | 45.9931 | + | 23.0986i | 0.0921706 | + | 0.0462898i | 0.494287 | − | 0.869299i | \(-0.335429\pi\) |
−0.402117 | + | 0.915588i | \(0.631725\pi\) | |||||||
\(500\) | −31.4126 | − | 47.7605i | −0.0628252 | − | 0.0955210i | ||||
\(501\) | −304.268 | + | 8.39844i | −0.607321 | + | 0.0167633i | ||||
\(502\) | 58.7427 | + | 13.9223i | 0.117017 | + | 0.0277336i | ||||
\(503\) | −190.011 | + | 522.051i | −0.377756 | + | 1.03788i | 0.594529 | + | 0.804074i | \(0.297339\pi\) |
−0.972284 | + | 0.233801i | \(0.924884\pi\) | |||||||
\(504\) | 48.3348 | + | 874.896i | 0.0959024 | + | 1.73590i | ||||
\(505\) | −154.732 | + | 56.3177i | −0.306399 | + | 0.111520i | ||||
\(506\) | −0.0828194 | − | 0.708565i | −0.000163675 | − | 0.00140033i | ||||
\(507\) | −62.5539 | + | 29.0557i | −0.123381 | + | 0.0573091i | ||||
\(508\) | 87.0165 | + | 92.2321i | 0.171292 | + | 0.181559i | ||||
\(509\) | 9.29558 | + | 6.92030i | 0.0182624 | + | 0.0135959i | 0.606251 | − | 0.795273i | \(-0.292673\pi\) |
−0.587989 | + | 0.808869i | \(0.700080\pi\) | |||||||
\(510\) | −27.6881 | + | 69.3928i | −0.0542903 | + | 0.136064i | ||||
\(511\) | −281.475 | + | 141.362i | −0.550831 | + | 0.276638i | ||||
\(512\) | 472.945 | + | 273.055i | 0.923720 | + | 0.533310i | ||||
\(513\) | −87.2416 | + | 319.850i | −0.170062 | + | 0.623489i | ||||
\(514\) | 344.100 | + | 595.998i | 0.669455 | + | 1.15953i | ||||
\(515\) | 18.8141 | − | 28.6055i | 0.0365322 | − | 0.0555446i | ||||
\(516\) | −173.725 | − | 5.31460i | −0.336676 | − | 0.0102996i | ||||
\(517\) | 190.905 | + | 442.567i | 0.369255 | + | 0.856029i | ||||
\(518\) | −1052.23 | − | 315.017i | −2.03133 | − | 0.608141i | ||||
\(519\) | −400.157 | + | 279.303i | −0.771016 | + | 0.538157i | ||||
\(520\) | 53.2903 | − | 123.541i | 0.102481 | − | 0.237578i | ||||
\(521\) | 438.469 | − | 522.547i | 0.841591 | − | 1.00297i | −0.158288 | − | 0.987393i | \(-0.550597\pi\) |
0.999879 | − | 0.0155758i | \(-0.00495813\pi\) | |||||||
\(522\) | −522.769 | + | 299.742i | −1.00147 | + | 0.574219i | ||||
\(523\) | 495.539 | − | 415.807i | 0.947494 | − | 0.795042i | −0.0313801 | − | 0.999508i | \(-0.509990\pi\) |
0.978874 | + | 0.204466i | \(0.0655458\pi\) | |||||||
\(524\) | 56.6634 | − | 16.9639i | 0.108136 | − | 0.0323738i | ||||
\(525\) | 496.938 | − | 626.555i | 0.946549 | − | 1.19344i | ||||
\(526\) | 27.6028 | + | 473.923i | 0.0524769 | + | 0.900993i | ||||
\(527\) | −191.325 | + | 11.1434i | −0.363046 | + | 0.0211450i | ||||
\(528\) | −177.737 | + | 70.3032i | −0.336623 | + | 0.133150i | ||||
\(529\) | −151.718 | − | 506.772i | −0.286801 | − | 0.957981i | ||||
\(530\) | 32.6123 | + | 38.8658i | 0.0615327 | + | 0.0733318i | ||||
\(531\) | 97.1203 | − | 35.0207i | 0.182901 | − | 0.0659523i | ||||
\(532\) | −110.600 | − | 92.8043i | −0.207894 | − | 0.174444i | ||||
\(533\) | −512.374 | − | 221.016i | −0.961301 | − | 0.414665i | ||||
\(534\) | 222.685 | − | 475.693i | 0.417013 | − | 0.890811i | ||||
\(535\) | 65.1044 | − | 217.464i | 0.121690 | − | 0.406474i | ||||
\(536\) | 763.185 | − | 329.206i | 1.42385 | − | 0.614190i | ||||
\(537\) | 206.736 | + | 127.944i | 0.384984 | + | 0.238256i | ||||
\(538\) | 444.965 | + | 292.658i | 0.827072 | + | 0.543974i | ||||
\(539\) | 396.637 | − | 228.998i | 0.735876 | − | 0.424858i | ||||
\(540\) | −27.8020 | − | 15.1519i | −0.0514852 | − | 0.0280591i | ||||
\(541\) | 105.291 | − | 182.370i | 0.194623 | − | 0.337097i | −0.752154 | − | 0.658988i | \(-0.770985\pi\) |
0.946777 | + | 0.321890i | \(0.104318\pi\) | |||||||
\(542\) | −31.8048 | − | 63.3286i | −0.0586805 | − | 0.116843i | ||||
\(543\) | 87.7862 | + | 605.618i | 0.161669 | + | 1.11532i | ||||
\(544\) | 125.882 | − | 169.089i | 0.231401 | − | 0.310826i | ||||
\(545\) | 147.501 | − | 139.160i | 0.270644 | − | 0.255339i | ||||
\(546\) | 798.643 | + | 71.0745i | 1.46272 | + | 0.130173i | ||||
\(547\) | −496.284 | + | 58.0072i | −0.907282 | + | 0.106046i | −0.556918 | − | 0.830567i | \(-0.688016\pi\) |
−0.350364 | + | 0.936613i | \(0.613942\pi\) | |||||||
\(548\) | −10.9226 | − | 30.0096i | −0.0199318 | − | 0.0547621i | ||||
\(549\) | 329.858 | + | 99.8278i | 0.600835 | + | 0.181836i | ||||
\(550\) | 228.030 | + | 82.9962i | 0.414600 | + | 0.150902i | ||||
\(551\) | 110.343 | − | 465.574i | 0.200260 | − | 0.844963i | ||||
\(552\) | 1.54739 | − | 0.951258i | 0.00280325 | − | 0.00172329i | ||||
\(553\) | −236.469 | + | 155.528i | −0.427611 | + | 0.281244i | ||||
\(554\) | −346.740 | + | 690.415i | −0.625884 | + | 1.24624i | ||||
\(555\) | 143.065 | − | 126.934i | 0.257774 | − | 0.228711i | ||||
\(556\) | 0.673662 | − | 0.714040i | 0.00121162 | − | 0.00128424i | ||||
\(557\) | −265.011 | + | 46.7287i | −0.475784 | + | 0.0838935i | −0.406397 | − | 0.913696i | \(-0.633215\pi\) |
−0.0693862 | + | 0.997590i | \(0.522104\pi\) | |||||||
\(558\) | −13.9947 | + | 228.516i | −0.0250800 | + | 0.409527i | ||||
\(559\) | −133.083 | + | 754.753i | −0.238074 | + | 1.35018i | ||||
\(560\) | −107.998 | + | 80.4015i | −0.192854 | + | 0.143574i | ||||
\(561\) | 59.4450 | + | 223.185i | 0.105963 | + | 0.397834i | ||||
\(562\) | 493.949 | − | 117.068i | 0.878913 | − | 0.208306i | ||||
\(563\) | 6.31752 | − | 54.0498i | 0.0112212 | − | 0.0960032i | −0.986467 | − | 0.163959i | \(-0.947574\pi\) |
0.997688 | + | 0.0679556i | \(0.0216476\pi\) | |||||||
\(564\) | −169.588 | + | 189.992i | −0.300688 | + | 0.336866i | ||||
\(565\) | 1.74441 | − | 29.9504i | 0.00308746 | − | 0.0530096i | ||||
\(566\) | − | 155.438i | − | 0.274625i | ||||||
\(567\) | 163.239 | − | 894.491i | 0.287900 | − | 1.57759i | ||||
\(568\) | 1039.50 | 1.83010 | ||||||||
\(569\) | 11.9714 | + | 0.697252i | 0.0210393 | + | 0.00122540i | 0.0686612 | − | 0.997640i | \(-0.478127\pi\) |
−0.0476220 | + | 0.998865i | \(0.515164\pi\) | |||||||
\(570\) | −67.3026 | + | 22.1901i | −0.118075 | + | 0.0389301i | ||||
\(571\) | −583.319 | − | 68.1802i | −1.02157 | − | 0.119405i | −0.411222 | − | 0.911535i | \(-0.634898\pi\) |
−0.610352 | + | 0.792130i | \(0.708972\pi\) | |||||||
\(572\) | −19.9052 | − | 83.9867i | −0.0347993 | − | 0.146830i | ||||
\(573\) | −700.174 | − | 702.269i | −1.22194 | − | 1.22560i | ||||
\(574\) | 463.869 | + | 623.084i | 0.808134 | + | 1.08551i | ||||
\(575\) | −1.63257 | − | 0.287866i | −0.00283925 | − | 0.000500637i | ||||
\(576\) | −462.388 | − | 438.859i | −0.802757 | − | 0.761908i | ||||
\(577\) | 165.093 | + | 936.287i | 0.286123 | + | 1.62268i | 0.701248 | + | 0.712917i | \(0.252627\pi\) |
−0.415125 | + | 0.909764i | \(0.636262\pi\) | |||||||
\(578\) | −151.748 | − | 143.167i | −0.262540 | − | 0.247694i | ||||
\(579\) | 298.417 | − | 61.1535i | 0.515400 | − | 0.105619i | ||||
\(580\) | 40.8353 | + | 20.5082i | 0.0704056 | + | 0.0353590i | ||||
\(581\) | 357.150 | + | 543.020i | 0.614716 | + | 0.934631i | ||||
\(582\) | 309.643 | − | 572.220i | 0.532032 | − | 0.983196i | ||||
\(583\) | 152.616 | + | 36.1707i | 0.261777 | + | 0.0620423i | ||||
\(584\) | 83.2333 | − | 228.682i | 0.142523 | − | 0.391578i | ||||
\(585\) | −83.7075 | + | 111.740i | −0.143090 | + | 0.191009i | ||||
\(586\) | −671.477 | + | 244.398i | −1.14587 | + | 0.417061i | ||||
\(587\) | 112.517 | + | 962.642i | 0.191681 | + | 1.63994i | 0.656354 | + | 0.754453i | \(0.272098\pi\) |
−0.464673 | + | 0.885483i | \(0.653828\pi\) | |||||||
\(588\) | 198.024 | + | 139.099i | 0.336775 | + | 0.236563i | ||||
\(589\) | −124.747 | − | 132.224i | −0.211795 | − | 0.224489i | ||||
\(590\) | 17.7014 | + | 13.1782i | 0.0300023 | + | 0.0223359i | ||||
\(591\) | −394.332 | − | 500.248i | −0.667228 | − | 0.846443i | ||||
\(592\) | 545.154 | − | 273.787i | 0.920868 | − | 0.462477i | ||||
\(593\) | 274.719 | + | 158.609i | 0.463271 | + | 0.267469i | 0.713418 | − | 0.700738i | \(-0.247146\pi\) |
−0.250148 | + | 0.968208i | \(0.580479\pi\) | |||||||
\(594\) | 273.175 | − | 38.7646i | 0.459890 | − | 0.0652603i | ||||
\(595\) | 81.3484 | + | 140.900i | 0.136720 | + | 0.236806i | ||||
\(596\) | −13.5252 | + | 20.5641i | −0.0226933 | + | 0.0345036i | ||||
\(597\) | 12.3883 | + | 23.0579i | 0.0207509 | + | 0.0386229i | ||||
\(598\) | −0.658328 | − | 1.52618i | −0.00110088 | − | 0.00255213i | ||||
\(599\) | −867.029 | − | 259.572i | −1.44746 | − | 0.433341i | −0.535821 | − | 0.844331i | \(-0.679998\pi\) |
−0.911640 | + | 0.410990i | \(0.865183\pi\) | |||||||
\(600\) | 52.9309 | + | 615.592i | 0.0882181 | + | 1.02599i | ||||
\(601\) | 176.778 | − | 409.818i | 0.294140 | − | 0.681894i | −0.705500 | − | 0.708710i | \(-0.749278\pi\) |
0.999640 | + | 0.0268162i | \(0.00853688\pi\) | |||||||
\(602\) | 685.780 | − | 817.280i | 1.13917 | − | 1.35761i | ||||
\(603\) | −849.836 | + | 147.233i | −1.40935 | + | 0.244167i | ||||
\(604\) | 145.070 | − | 121.728i | 0.240182 | − | 0.201536i | ||||
\(605\) | 91.8439 | − | 27.4963i | 0.151808 | − | 0.0454484i | ||||
\(606\) | 749.987 | + | 111.001i | 1.23760 | + | 0.183171i | ||||
\(607\) | 7.56658 | + | 129.913i | 0.0124655 | + | 0.214025i | 0.998789 | + | 0.0492027i | \(0.0156680\pi\) |
−0.986323 | + | 0.164822i | \(0.947295\pi\) | |||||||
\(608\) | 199.611 | − | 11.6260i | 0.328308 | − | 0.0191218i | ||||
\(609\) | −192.127 | + | 1298.11i | −0.315479 | + | 2.13155i | ||||
\(610\) | 21.1277 | + | 70.5715i | 0.0346356 | + | 0.115691i | ||||
\(611\) | 721.830 | + | 860.244i | 1.18139 | + | 1.40793i | ||||
\(612\) | −93.7199 | + | 78.1644i | −0.153137 | + | 0.127720i | ||||
\(613\) | −153.693 | − | 128.964i | −0.250723 | − | 0.210381i | 0.508761 | − | 0.860908i | \(-0.330104\pi\) |
−0.759483 | + | 0.650527i | \(0.774548\pi\) | |||||||
\(614\) | −745.628 | − | 321.633i | −1.21438 | − | 0.523831i | ||||
\(615\) | −134.765 | + | 11.5876i | −0.219130 | + | 0.0188416i | ||||
\(616\) | −166.061 | + | 554.681i | −0.269579 | + | 0.900456i | ||||
\(617\) | 201.025 | − | 86.7139i | 0.325811 | − | 0.140541i | −0.226891 | − | 0.973920i | \(-0.572856\pi\) |
0.552702 | + | 0.833379i | \(0.313597\pi\) | |||||||
\(618\) | −138.869 | + | 74.6100i | −0.224707 | + | 0.120728i | ||||
\(619\) | −559.970 | − | 368.298i | −0.904636 | − | 0.594989i | 0.00969605 | − | 0.999953i | \(-0.496914\pi\) |
−0.914333 | + | 0.404964i | \(0.867284\pi\) | |||||||
\(620\) | 15.0350 | − | 8.68047i | 0.0242500 | − | 0.0140008i | ||||
\(621\) | −1.79185 | + | 0.584856i | −0.00288542 | + | 0.000941797i | ||||
\(622\) | −182.352 | + | 315.844i | −0.293171 | + | 0.507787i | ||||
\(623\) | −513.323 | − | 1022.11i | −0.823954 | − | 1.64063i | ||||
\(624\) | −349.732 | + | 275.684i | −0.560467 | + | 0.441801i | ||||
\(625\) | 318.024 | − | 427.180i | 0.508838 | − | 0.683488i | ||||
\(626\) | 712.679 | − | 672.378i | 1.13846 | − | 1.07409i | ||||
\(627\) | −125.924 | + | 179.268i | −0.200836 | + | 0.285914i | ||||
\(628\) | 225.393 | − | 26.3447i | 0.358907 | − | 0.0419502i | ||||
\(629\) | −252.125 | − | 692.709i | −0.400835 | − | 1.10129i | ||||
\(630\) | 178.691 | − | 76.4476i | 0.283637 | − | 0.121345i | ||||
\(631\) | −520.918 | − | 189.599i | −0.825544 | − | 0.300474i | −0.105515 | − | 0.994418i | \(-0.533649\pi\) |
−0.720029 | + | 0.693944i | \(0.755871\pi\) | |||||||
\(632\) | 50.4299 | − | 212.781i | 0.0797942 | − | 0.336678i | ||||
\(633\) | −230.635 | − | 124.802i | −0.364352 | − | 0.197160i | ||||
\(634\) | 503.260 | − | 330.999i | 0.793785 | − | 0.522081i | ||||
\(635\) | 60.8276 | − | 121.118i | 0.0957916 | − | 0.190737i | ||||
\(636\) | 16.6371 | + | 81.1857i | 0.0261589 | + | 0.127650i | ||||
\(637\) | 732.273 | − | 776.164i | 1.14957 | − | 1.21847i | ||||
\(638\) | −392.147 | + | 69.1460i | −0.614650 | + | 0.108379i | ||||
\(639\) | −1048.86 | − | 251.897i | −1.64141 | − | 0.394204i | ||||
\(640\) | 10.9993 | − | 62.3800i | 0.0171864 | − | 0.0974687i | ||||
\(641\) | −237.150 | + | 176.552i | −0.369969 | + | 0.275432i | −0.766046 | − | 0.642785i | \(-0.777779\pi\) |
0.396077 | + | 0.918217i | \(0.370371\pi\) | |||||||
\(642\) | −740.158 | + | 737.951i | −1.15289 | + | 1.14946i | ||||
\(643\) | −138.650 | + | 32.8606i | −0.215629 | + | 0.0511051i | −0.337011 | − | 0.941501i | \(-0.609416\pi\) |
0.121381 | + | 0.992606i | \(0.461268\pi\) | |||||||
\(644\) | 0.0952931 | − | 0.815285i | 0.000147971 | − | 0.00126597i | ||||
\(645\) | 58.1713 | + | 176.433i | 0.0901880 | + | 0.273540i | ||||
\(646\) | −15.8816 | + | 272.677i | −0.0245845 | + | 0.422100i | ||||
\(647\) | 20.2309i | 0.0312688i | 0.999878 | + | 0.0156344i | \(0.00497679\pi\) | ||||
−0.999878 | + | 0.0156344i | \(0.995023\pi\) | |||||||
\(648\) | 382.525 | + | 589.239i | 0.590316 | + | 0.909319i | ||||
\(649\) | 68.2211 | 0.105117 | ||||||||
\(650\) | 564.423 | + | 32.8739i | 0.868343 | + | 0.0505752i | ||||
\(651\) | 371.939 | + | 331.994i | 0.571335 | + | 0.509976i | ||||
\(652\) | −36.6512 | − | 4.28391i | −0.0562135 | − | 0.00657041i | ||||
\(653\) | −6.75689 | − | 28.5096i | −0.0103475 | − | 0.0436594i | 0.967626 | − | 0.252388i | \(-0.0812158\pi\) |
−0.977974 | + | 0.208728i | \(0.933068\pi\) | |||||||
\(654\) | −902.236 | + | 240.310i | −1.37957 | + | 0.367446i | ||||
\(655\) | −37.7533 | − | 50.7115i | −0.0576387 | − | 0.0774222i | ||||
\(656\) | −424.881 | − | 74.9181i | −0.647685 | − | 0.114204i | ||||
\(657\) | −139.399 | + | 210.572i | −0.212174 | + | 0.320506i | ||||
\(658\) | −271.457 | − | 1539.51i | −0.412549 | − | 2.33968i | ||||
\(659\) | 343.848 | + | 324.404i | 0.521772 | + | 0.492267i | 0.901469 | − | 0.432844i | \(-0.142490\pi\) |
−0.379696 | + | 0.925111i | \(0.623972\pi\) | |||||||
\(660\) | −13.8858 | − | 15.6504i | −0.0210391 | − | 0.0237127i | ||||
\(661\) | 645.004 | + | 323.933i | 0.975800 | + | 0.490065i | 0.863905 | − | 0.503655i | \(-0.168012\pi\) |
0.111895 | + | 0.993720i | \(0.464308\pi\) | |||||||
\(662\) | −369.812 | − | 562.272i | −0.558629 | − | 0.849353i | ||||
\(663\) | 281.817 | + | 458.426i | 0.425064 | + | 0.691442i | ||||
\(664\) | −488.624 | − | 115.806i | −0.735879 | − | 0.174406i | ||||
\(665\) | −52.7809 | + | 145.014i | −0.0793697 | + | 0.218066i | ||||
\(666\) | −857.483 | + | 200.523i | −1.28751 | + | 0.301086i | ||||
\(667\) | 2.55621 | − | 0.930386i | 0.00383241 | − | 0.00139488i | ||||
\(668\) | −12.3378 | − | 105.556i | −0.0184697 | − | 0.158018i | ||||
\(669\) | 29.7857 | − | 334.693i | 0.0445227 | − | 0.500289i | ||||
\(670\) | −126.516 | − | 134.099i | −0.188830 | − | 0.200148i | ||||
\(671\) | 182.668 | + | 135.991i | 0.272233 | + | 0.202670i | ||||
\(672\) | −542.708 | + | 78.6672i | −0.807602 | + | 0.117064i | ||||
\(673\) | −436.732 | + | 219.335i | −0.648933 | + | 0.325906i | −0.742637 | − | 0.669694i | \(-0.766425\pi\) |
0.0937047 | + | 0.995600i | \(0.470129\pi\) | |||||||
\(674\) | −402.986 | − | 232.664i | −0.597902 | − | 0.345199i | ||||
\(675\) | 95.7659 | − | 633.964i | 0.141875 | − | 0.939206i | ||||
\(676\) | −12.0408 | − | 20.8553i | −0.0178119 | − | 0.0308511i | ||||
\(677\) | 61.9674 | − | 94.2169i | 0.0915324 | − | 0.139168i | −0.786819 | − | 0.617184i | \(-0.788273\pi\) |
0.878351 | + | 0.478016i | \(0.158644\pi\) | |||||||
\(678\) | −72.6932 | + | 117.461i | −0.107217 | + | 0.173246i | ||||
\(679\) | −561.176 | − | 1300.95i | −0.826474 | − | 1.91598i | ||||
\(680\) | −120.422 | − | 36.0519i | −0.177091 | − | 0.0530176i | ||||
\(681\) | 170.049 | + | 79.6046i | 0.249705 | + | 0.116894i | ||||
\(682\) | −59.9207 | + | 138.912i | −0.0878602 | + | 0.203683i | ||||
\(683\) | −813.573 | + | 969.579i | −1.19118 | + | 1.41959i | −0.307463 | + | 0.951560i | \(0.599480\pi\) |
−0.883713 | + | 0.468029i | \(0.844964\pi\) | |||||||
\(684\) | −113.935 | − | 20.4410i | −0.166572 | − | 0.0298845i | ||||
\(685\) | −26.1489 | + | 21.9415i | −0.0381735 | + | 0.0320314i | ||||
\(686\) | −517.609 | + | 154.962i | −0.754532 | + | 0.225892i | ||||
\(687\) | −175.216 | − | 442.973i | −0.255045 | − | 0.644793i | ||||
\(688\) | 34.4539 | + | 591.551i | 0.0500784 | + | 0.859813i | ||||
\(689\) | 364.809 | − | 21.2477i | 0.529476 | − | 0.0308385i | ||||
\(690\) | −0.315666 | − | 0.250364i | −0.000457487 | − | 0.000362846i | ||||
\(691\) | 27.9940 | + | 93.5065i | 0.0405123 | + | 0.135321i | 0.975853 | − | 0.218427i | \(-0.0700925\pi\) |
−0.935341 | + | 0.353747i | \(0.884907\pi\) | |||||||
\(692\) | −109.519 | − | 130.520i | −0.158264 | − | 0.188612i | ||||
\(693\) | 301.970 | − | 519.438i | 0.435743 | − | 0.749549i | ||||
\(694\) | 402.387 | + | 337.643i | 0.579809 | + | 0.486518i | ||||
\(695\) | −0.963460 | − | 0.415596i | −0.00138627 | − | 0.000597980i | ||||
\(696\) | −580.292 | − | 831.383i | −0.833753 | − | 1.19452i | ||||
\(697\) | −149.522 | + | 499.438i | −0.214522 | + | 0.716554i | ||||
\(698\) | 91.8143 | − | 39.6048i | 0.131539 | − | 0.0567405i | ||||
\(699\) | 12.1703 | − | 397.824i | 0.0174110 | − | 0.569133i | ||||
\(700\) | 233.279 | + | 153.430i | 0.333256 | + | 0.219186i | ||||
\(701\) | −62.2295 | + | 35.9282i | −0.0887724 | + | 0.0512528i | −0.543729 | − | 0.839261i | \(-0.682988\pi\) |
0.454957 | + | 0.890514i | \(0.349655\pi\) | |||||||
\(702\) | 583.823 | − | 269.063i | 0.831657 | − | 0.383280i | ||||
\(703\) | 349.607 | − | 605.537i | 0.497308 | − | 0.861362i | ||||
\(704\) | −189.057 | − | 376.444i | −0.268547 | − | 0.534721i | ||||
\(705\) | 252.827 | + | 100.879i | 0.358620 | + | 0.143091i | ||||
\(706\) | −480.317 | + | 645.177i | −0.680335 | + | 0.913849i | ||||
\(707\) | 1200.88 | − | 1132.98i | 1.69856 | − | 1.60251i | ||||
\(708\) | 15.1851 | + | 32.6920i | 0.0214479 | + | 0.0461751i | ||||
\(709\) | 803.813 | − | 93.9523i | 1.13373 | − | 0.132514i | 0.471535 | − | 0.881847i | \(-0.343700\pi\) |
0.662193 | + | 0.749334i | \(0.269626\pi\) | |||||||
\(710\) | −78.8602 | − | 216.667i | −0.111071 | − | 0.305164i | ||||
\(711\) | −102.446 | + | 202.477i | −0.144088 | + | 0.284778i | ||||
\(712\) | 830.406 | + | 302.243i | 1.16630 | + | 0.424499i | ||||
\(713\) | 0.238340 | − | 1.00564i | 0.000334278 | − | 0.00141043i | ||||
\(714\) | −20.6691 | − | 748.824i | −0.0289483 | − | 1.04877i | ||||
\(715\) | −77.0800 | + | 50.6963i | −0.107804 | + | 0.0709039i | ||||
\(716\) | −38.0969 | + | 75.8572i | −0.0532080 | + | 0.105946i | ||||
\(717\) | 1292.65 | + | 430.480i | 1.80285 | + | 0.600390i | ||||
\(718\) | 370.671 | − | 392.888i | 0.516255 | − | 0.547198i | ||||
\(719\) | 701.905 | − | 123.765i | 0.976224 | − | 0.172135i | 0.337294 | − | 0.941399i | \(-0.390488\pi\) |
0.638930 | + | 0.769265i | \(0.279377\pi\) | |||||||
\(720\) | −43.0517 | + | 98.9908i | −0.0597940 | + | 0.137487i | ||||
\(721\) | −59.6114 | + | 338.073i | −0.0826788 | + | 0.468895i | ||||
\(722\) | 289.750 | − | 215.711i | 0.401316 | − | 0.298769i | ||||
\(723\) | 403.843 | + | 108.856i | 0.558566 | + | 0.150562i | ||||
\(724\) | −207.901 | + | 49.2734i | −0.287156 | + | 0.0680572i | ||||
\(725\) | −107.423 | + | 919.063i | −0.148170 | + | 1.26767i | ||||
\(726\) | −432.170 | − | 89.9092i | −0.595275 | − | 0.123842i | ||||
\(727\) | 59.5368 | − | 1022.21i | 0.0818938 | − | 1.40606i | −0.667831 | − | 0.744313i | \(-0.732777\pi\) |
0.749725 | − | 0.661749i | \(-0.230186\pi\) | |||||||
\(728\) | 1349.01i | 1.85304i | ||||||||
\(729\) | −243.183 | − | 687.243i | −0.333585 | − | 0.942720i | ||||
\(730\) | −53.9795 | −0.0739445 | ||||||||
\(731\) | 714.820 | + | 41.6335i | 0.977866 | + | 0.0569542i | ||||
\(732\) | −24.5084 | + | 117.806i | −0.0334814 | + | 0.160937i | ||||
\(733\) | −1126.51 | − | 131.671i | −1.53685 | − | 0.179633i | −0.694870 | − | 0.719135i | \(-0.744538\pi\) |
−0.841984 | + | 0.539502i | \(0.818612\pi\) | |||||||
\(734\) | −134.179 | − | 566.144i | −0.182805 | − | 0.771313i | ||||
\(735\) | 67.3196 | − | 249.747i | 0.0915913 | − | 0.339792i | ||||
\(736\) | 0.678837 | + | 0.911836i | 0.000922333 | + | 0.00123891i | ||||
\(737\) | −561.271 | − | 98.9672i | −0.761562 | − | 0.134284i | ||||
\(738\) | 571.118 | + | 248.383i | 0.773873 | + | 0.336562i | ||||
\(739\) | 93.2322 | + | 528.746i | 0.126160 | + | 0.715489i | 0.980612 | + | 0.195959i | \(0.0627819\pi\) |
−0.854452 | + | 0.519530i | \(0.826107\pi\) | |||||||
\(740\) | 48.5722 | + | 45.8255i | 0.0656381 | + | 0.0619264i | ||||
\(741\) | −161.273 | + | 484.271i | −0.217642 | + | 0.653537i | ||||
\(742\) | −454.594 | − | 228.306i | −0.612660 | − | 0.307690i | ||||
\(743\) | −610.910 | − | 928.844i | −0.822221 | − | 1.25013i | −0.965489 | − | 0.260442i | \(-0.916132\pi\) |
0.143269 | − | 0.989684i | \(-0.454239\pi\) | |||||||
\(744\) | −385.048 | + | 10.6281i | −0.517537 | + | 0.0142851i | ||||
\(745\) | 25.5992 | + | 6.06713i | 0.0343614 | + | 0.00814380i | ||||
\(746\) | −273.465 | + | 751.338i | −0.366575 | + | 1.00716i | ||||
\(747\) | 464.963 | + | 235.255i | 0.622441 | + | 0.314933i | ||||
\(748\) | −75.7779 | + | 27.5809i | −0.101307 | + | 0.0368728i | ||||
\(749\) | 264.230 | + | 2260.63i | 0.352777 | + | 3.01820i | ||||
\(750\) | 255.151 | − | 118.515i | 0.340201 | − | 0.158020i | ||||
\(751\) | 322.772 | + | 342.119i | 0.429790 | + | 0.455551i | 0.905685 | − | 0.423951i | \(-0.139357\pi\) |
−0.475895 | + | 0.879502i | \(0.657876\pi\) | |||||||
\(752\) | 696.439 | + | 518.480i | 0.926116 | + | 0.689468i | ||||
\(753\) | 39.0608 | − | 97.8955i | 0.0518736 | − | 0.130007i | ||||
\(754\) | −829.067 | + | 416.373i | −1.09956 | + | 0.552219i | ||||
\(755\) | −175.298 | − | 101.209i | −0.232183 | − | 0.134051i | ||||
\(756\) | 316.132 | + | 29.0860i | 0.418164 | + | 0.0384736i | ||||
\(757\) | −199.380 | − | 345.336i | −0.263381 | − | 0.456190i | 0.703757 | − | 0.710441i | \(-0.251504\pi\) |
−0.967138 | + | 0.254251i | \(0.918171\pi\) | |||||||
\(758\) | 291.635 | − | 443.409i | 0.384743 | − | 0.584973i | ||||
\(759\) | −1.24493 | − | 0.0380850i | −0.00164022 | − | 5.01779e-5i | ||||
\(760\) | −47.2251 | − | 109.480i | −0.0621383 | − | 0.144053i | ||||
\(761\) | 22.9820 | + | 6.88036i | 0.0301997 | + | 0.00904121i | 0.301867 | − | 0.953350i | \(-0.402390\pi\) |
−0.271668 | + | 0.962391i | \(0.587575\pi\) | |||||||
\(762\) | −511.720 | + | 357.173i | −0.671549 | + | 0.468730i | ||||
\(763\) | −805.324 | + | 1866.95i | −1.05547 | + | 2.44686i | ||||
\(764\) | 222.560 | − | 265.237i | 0.291309 | − | 0.347169i | ||||
\(765\) | 112.770 | + | 65.5580i | 0.147412 | + | 0.0856968i | ||||
\(766\) | −47.9398 | + | 40.2262i | −0.0625845 | + | 0.0525147i | ||||
\(767\) | 152.269 | − | 45.5865i | 0.198526 | − | 0.0594348i | ||||
\(768\) | 346.959 | − | 437.457i | 0.451770 | − | 0.569605i | ||||
\(769\) | 32.8130 | + | 563.378i | 0.0426697 | + | 0.732611i | 0.950011 | + | 0.312216i | \(0.101071\pi\) |
−0.907341 | + | 0.420395i | \(0.861892\pi\) | |||||||
\(770\) | 128.212 | − | 7.46753i | 0.166510 | − | 0.00969809i | ||||
\(771\) | 1117.30 | − | 441.946i | 1.44916 | − | 0.573211i | ||||
\(772\) | 30.5035 | + | 101.889i | 0.0395123 | + | 0.131980i | ||||
\(773\) | 374.248 | + | 446.011i | 0.484149 | + | 0.576987i | 0.951719 | − | 0.306969i | \(-0.0993149\pi\) |
−0.467570 | + | 0.883956i | \(0.654870\pi\) | |||||||
\(774\) | 151.049 | − | 841.928i | 0.195154 | − | 1.08776i | ||||
\(775\) | 269.304 | + | 225.973i | 0.347489 | + | 0.291578i | ||||
\(776\) | 1005.14 | + | 433.575i | 1.29528 | + | 0.558731i | ||||
\(777\) | −813.034 | + | 1736.78i | −1.04638 | + | 2.23524i | ||||
\(778\) | 145.485 | − | 485.952i | 0.186998 | − | 0.624617i | ||||
\(779\) | −454.058 | + | 195.862i | −0.582873 | + | 0.251427i | ||||
\(780\) | −41.4510 | − | 25.6529i | −0.0531423 | − | 0.0328883i | ||||
\(781\) | −595.524 | − | 391.682i | −0.762515 | − | 0.501514i | ||||
\(782\) | −1.34484 | + | 0.776441i | −0.00171974 | + | 0.000992892i | ||||
\(783\) | 384.055 | + | 979.493i | 0.490491 | + | 1.25095i | ||||
\(784\) | 412.516 | − | 714.498i | 0.526168 | − | 0.911350i | ||||
\(785\) | −108.859 | − | 216.756i | −0.138674 | − | 0.276122i | ||||
\(786\) | 41.7584 | + | 288.082i | 0.0531277 | + | 0.366517i | ||||
\(787\) | −86.6592 | + | 116.404i | −0.110113 | + | 0.147908i | −0.853763 | − | 0.520661i | \(-0.825686\pi\) |
0.743650 | + | 0.668569i | \(0.233093\pi\) | |||||||
\(788\) | 161.768 | − | 152.621i | 0.205290 | − | 0.193681i | ||||
\(789\) | 825.566 | + | 73.4704i | 1.04634 | + | 0.0931184i | ||||
\(790\) | −48.1765 | + | 5.63103i | −0.0609830 | + | 0.00712789i | ||||
\(791\) | 102.882 | + | 282.667i | 0.130066 | + | 0.357353i | ||||
\(792\) | 105.706 | + | 452.021i | 0.133467 | + | 0.570733i | ||||
\(793\) | 498.587 | + | 181.471i | 0.628735 | + | 0.228841i | ||||
\(794\) | −205.345 | + | 866.421i | −0.258622 | + | 1.09121i | ||||
\(795\) | 75.4614 | − | 46.3898i | 0.0949200 | − | 0.0583520i | ||||
\(796\) | −7.63550 | + | 5.02195i | −0.00959234 | + | 0.00630898i | ||||
\(797\) | −381.155 | + | 758.942i | −0.478237 | + | 0.952249i | 0.517112 | + | 0.855918i | \(0.327007\pi\) |
−0.995349 | + | 0.0963311i | \(0.969289\pi\) | |||||||
\(798\) | 531.499 | − | 471.573i | 0.666038 | − | 0.590943i | ||||
\(799\) | 719.985 | − | 763.140i | 0.901108 | − | 0.955119i | ||||
\(800\) | −380.809 | + | 67.1469i | −0.476011 | + | 0.0839336i | ||||
\(801\) | −764.646 | − | 506.195i | −0.954614 | − | 0.631953i | ||||
\(802\) | 196.343 | − | 1113.52i | 0.244817 | − | 1.38843i | ||||
\(803\) | −133.851 | + | 99.6486i | −0.166689 | + | 0.124095i | ||||
\(804\) | −77.5058 | − | 290.993i | −0.0964002 | − | 0.361932i | ||||
\(805\) | −0.853715 | + | 0.202334i | −0.00106052 | + | 0.000251347i | ||||
\(806\) | −40.9198 | + | 350.091i | −0.0507690 | + | 0.434356i | ||||
\(807\) | 619.190 | − | 693.688i | 0.767273 | − | 0.859589i | ||||
\(808\) | −74.1686 | + | 1273.43i | −0.0917929 | + | 1.57602i | ||||
\(809\) | − | 1093.65i | − | 1.35186i | −0.736966 | − | 0.675930i | \(-0.763742\pi\) | ||
0.736966 | − | 0.675930i | \(-0.236258\pi\) | |||||||
\(810\) | 93.7977 | − | 124.433i | 0.115800 | − | 0.153621i | ||||
\(811\) | 727.194 | 0.896664 | 0.448332 | − | 0.893867i | \(-0.352018\pi\) | ||||
0.448332 | + | 0.893867i | \(0.352018\pi\) | |||||||
\(812\) | −457.395 | − | 26.6402i | −0.563294 | − | 0.0328082i | ||||
\(813\) | −117.505 | + | 38.7421i | −0.144532 | + | 0.0476533i | ||||
\(814\) | −577.969 | − | 67.5549i | −0.710036 | − | 0.0829913i | ||||
\(815\) | 9.09595 | + | 38.3788i | 0.0111607 | + | 0.0470906i | ||||
\(816\) | 293.759 | + | 294.638i | 0.359998 | + | 0.361075i | ||||
\(817\) | 405.572 | + | 544.777i | 0.496416 | + | 0.666802i | ||||
\(818\) | 585.103 | + | 103.169i | 0.715285 | + | 0.126124i | ||||
\(819\) | 326.900 | − | 1361.17i | 0.399146 | − | 1.66199i | ||||
\(820\) | −8.20081 | − | 46.5091i | −0.0100010 | − | 0.0567184i | ||||
\(821\) | −692.731 | − | 653.558i | −0.843765 | − | 0.796052i | 0.137137 | − | 0.990552i | \(-0.456210\pi\) |
−0.980902 | + | 0.194500i | \(0.937691\pi\) | |||||||
\(822\) | 153.969 | − | 31.5522i | 0.187310 | − | 0.0383847i | ||||
\(823\) | 585.200 | + | 293.899i | 0.711058 | + | 0.357107i | 0.767280 | − | 0.641312i | \(-0.221609\pi\) |
−0.0562228 | + | 0.998418i | \(0.517906\pi\) | |||||||
\(824\) | −145.747 | − | 221.597i | −0.176877 | − | 0.268929i | ||||
\(825\) | 201.631 | − | 372.615i | 0.244401 | − | 0.451654i | ||||
\(826\) | −215.302 | − | 51.0276i | −0.260657 | − | 0.0617768i | ||||
\(827\) | −245.482 | + | 674.457i | −0.296835 | + | 0.815546i | 0.698190 | + | 0.715913i | \(0.253989\pi\) |
−0.995024 | + | 0.0996335i | \(0.968233\pi\) | |||||||
\(828\) | −0.258854 | − | 0.605056i | −0.000312626 | − | 0.000730744i | ||||
\(829\) | −732.857 | + | 266.738i | −0.884026 | + | 0.321759i | −0.743833 | − | 0.668365i | \(-0.766994\pi\) |
−0.140192 | + | 0.990124i | \(0.544772\pi\) | |||||||
\(830\) | 12.9309 | + | 110.631i | 0.0155795 | + | 0.133291i | ||||
\(831\) | 1103.78 | + | 775.336i | 1.32826 | + | 0.933015i | ||||
\(832\) | −673.522 | − | 713.892i | −0.809522 | − | 0.858043i | ||||
\(833\) | −799.680 | − | 595.340i | −0.960000 | − | 0.714693i | ||||
\(834\) | 2.99082 | + | 3.79414i | 0.00358611 | + | 0.00454933i | ||||
\(835\) | −101.511 | + | 50.9808i | −0.121570 | + | 0.0610549i | ||||
\(836\) | −66.2419 | − | 38.2448i | −0.0792367 | − | 0.0457473i | ||||
\(837\) | 391.092 | + | 82.5830i | 0.467255 | + | 0.0986655i | ||||
\(838\) | 367.897 | + | 637.216i | 0.439018 | + | 0.760401i | ||||
\(839\) | −130.018 | + | 197.683i | −0.154968 | + | 0.235618i | −0.904624 | − | 0.426210i | \(-0.859849\pi\) |
0.749656 | + | 0.661828i | \(0.230219\pi\) | |||||||
\(840\) | 154.766 | + | 288.060i | 0.184245 | + | 0.342928i | ||||
\(841\) | −268.299 | − | 621.988i | −0.319024 | − | 0.739581i | ||||
\(842\) | −17.2784 | − | 5.17281i | −0.0205207 | − | 0.00614348i | ||||
\(843\) | −75.9256 | − | 883.023i | −0.0900660 | − | 1.04748i | ||||
\(844\) | 36.2647 | − | 84.0711i | 0.0429677 | − | 0.0996103i | ||||
\(845\) | −16.5454 | + | 19.7181i | −0.0195804 | + | 0.0233350i | ||||
\(846\) | −802.760 | − | 962.517i | −0.948888 | − | 1.13773i | ||||
\(847\) | −736.366 | + | 617.885i | −0.869382 | + | 0.729498i | ||||
\(848\) | 270.667 | − | 81.0325i | 0.319183 | − | 0.0955572i | ||||
\(849\) | −268.456 | − | 39.7327i | −0.316203 | − | 0.0467995i | ||||
\(850\) | −30.7135 | − | 527.331i | −0.0361336 | − | 0.620390i | ||||
\(851\) | 3.96854 | − | 0.231141i | 0.00466338 | − | 0.000271611i | ||||
\(852\) | 55.1409 | − | 372.562i | 0.0647193 | − | 0.437280i | ||||
\(853\) | 165.560 | + | 553.010i | 0.194092 | + | 0.648312i | 0.998526 | + | 0.0542705i | \(0.0172833\pi\) |
−0.804434 | + | 0.594042i | \(0.797531\pi\) | |||||||
\(854\) | −474.774 | − | 565.813i | −0.555941 | − | 0.662545i | ||||
\(855\) | 21.1207 | + | 121.910i | 0.0247026 | + | 0.142585i | ||||
\(856\) | −1347.09 | − | 1130.34i | −1.57370 | − | 1.32049i | ||||
\(857\) | 418.773 | + | 180.641i | 0.488650 | + | 0.210783i | 0.626126 | − | 0.779722i | \(-0.284640\pi\) |
−0.137476 | + | 0.990505i | \(0.543899\pi\) | |||||||
\(858\) | 423.222 | − | 36.3902i | 0.493265 | − | 0.0424128i | ||||
\(859\) | 446.091 | − | 1490.05i | 0.519314 | − | 1.73463i | −0.147169 | − | 0.989111i | \(-0.547016\pi\) |
0.666484 | − | 0.745520i | \(-0.267799\pi\) | |||||||
\(860\) | −59.5584 | + | 25.6910i | −0.0692539 | + | 0.0298732i | ||||
\(861\) | 1194.70 | − | 641.875i | 1.38757 | − | 0.745500i | ||||
\(862\) | 413.399 | + | 271.897i | 0.479582 | + | 0.315426i | ||||
\(863\) | −1058.74 | + | 611.265i | −1.22682 | + | 0.708303i | −0.966363 | − | 0.257183i | \(-0.917206\pi\) |
−0.260454 | + | 0.965486i | \(0.583872\pi\) | |||||||
\(864\) | −346.096 | + | 271.146i | −0.400575 | + | 0.313826i | ||||
\(865\) | −91.0576 | + | 157.716i | −0.105269 | + | 0.182331i | ||||
\(866\) | 306.609 | + | 610.508i | 0.354052 | + | 0.704975i | ||||
\(867\) | −286.053 | + | 225.488i | −0.329935 | + | 0.260079i | ||||
\(868\) | −103.947 | + | 139.626i | −0.119755 | + | 0.160859i | ||||
\(869\) | −109.067 | + | 102.899i | −0.125508 | + | 0.118411i | ||||
\(870\) | −129.265 | + | 184.025i | −0.148581 | + | 0.211523i | ||||
\(871\) | −1318.89 | + | 154.156i | −1.51422 | + | 0.176987i | ||||
\(872\) | −537.285 | − | 1476.18i | −0.616153 | − | 1.69287i | ||||
\(873\) | −909.130 | − | 681.053i | −1.04139 | − | 0.780129i | ||||
\(874\) | −1.38411 | − | 0.503774i | −0.00158365 | − | 0.000576401i | ||||
\(875\) | 141.284 | − | 596.124i | 0.161467 | − | 0.681284i | ||||
\(876\) | −77.5458 | − | 41.9619i | −0.0885226 | − | 0.0479018i | ||||
\(877\) | 9.10780 | − | 5.99030i | 0.0103852 | − | 0.00683044i | −0.544306 | − | 0.838887i | \(-0.683207\pi\) |
0.554691 | + | 0.832056i | \(0.312836\pi\) | |||||||
\(878\) | 26.4965 | − | 52.7589i | 0.0301783 | − | 0.0600898i | ||||
\(879\) | 250.457 | + | 1222.18i | 0.284934 | + | 1.39042i | ||||
\(880\) | −48.9501 | + | 51.8840i | −0.0556251 | + | 0.0589591i | ||||
\(881\) | 594.752 | − | 104.871i | 0.675087 | − | 0.119036i | 0.174414 | − | 0.984672i | \(-0.444197\pi\) |
0.500673 | + | 0.865636i | \(0.333086\pi\) | |||||||
\(882\) | −819.871 | + | 863.828i | −0.929559 | + | 0.979397i | ||||
\(883\) | 6.36087 | − | 36.0743i | 0.00720370 | − | 0.0408542i | −0.980994 | − | 0.194038i | \(-0.937842\pi\) |
0.988198 | + | 0.153184i | \(0.0489526\pi\) | |||||||
\(884\) | −150.706 | + | 112.197i | −0.170482 | + | 0.126919i | ||||
\(885\) | 27.2848 | − | 27.2034i | 0.0308303 | − | 0.0307383i | ||||
\(886\) | −305.245 | + | 72.3443i | −0.344520 | + | 0.0816527i | ||||
\(887\) | −73.8172 | + | 631.547i | −0.0832212 | + | 0.712003i | 0.885636 | + | 0.464381i | \(0.153723\pi\) |
−0.968857 | + | 0.247622i | \(0.920351\pi\) | |||||||
\(888\) | −463.935 | − | 1407.11i | −0.522449 | − | 1.58459i | ||||
\(889\) | −79.0152 | + | 1356.64i | −0.0888810 | + | 1.52603i | ||||
\(890\) | − | 196.014i | − | 0.220241i | ||||||
\(891\) | 2.87816 | − | 481.708i | 0.00323026 | − | 0.540638i | ||||
\(892\) | 117.319 | 0.131524 | ||||||||
\(893\) | 993.475 | + | 57.8633i | 1.11251 | + | 0.0647966i | ||||
\(894\) | −90.3685 | − | 80.6633i | −0.101083 | − | 0.0902274i | ||||
\(895\) | 90.1188 | + | 10.5334i | 0.100691 | + | 0.0117691i | ||||
\(896\) | 146.465 | + | 617.984i | 0.163465 | + | 0.689714i | ||||
\(897\) | −2.80413 | + | 0.746878i | −0.00312613 | + | 0.000832640i | ||||
\(898\) | 131.292 | + | 176.356i | 0.146205 | + | 0.196388i | ||||
\(899\) | −568.108 | − | 100.173i | −0.631933 | − | 0.111427i | ||||
\(900\) | 223.440 | + | 13.6838i | 0.248266 | + | 0.0152042i | ||||
\(901\) | −59.2857 | − | 336.226i | −0.0657999 | − | 0.373170i | ||||
\(902\) | 299.340 | + | 282.413i | 0.331863 | + | 0.313096i | ||||
\(903\) | −1236.22 | − | 1393.32i | −1.36902 | − | 1.54299i | ||||
\(904\) | −207.689 | − | 104.305i | −0.229744 | − | 0.115382i | ||||
\(905\) | 125.494 | + | 190.804i | 0.138667 | + | 0.210833i | ||||
\(906\) | 488.089 | + | 793.965i | 0.538730 | + | 0.876341i | ||||
\(907\) | −685.916 | − | 162.565i | −0.756246 | − | 0.179234i | −0.165632 | − | 0.986188i | \(-0.552966\pi\) |
−0.590614 | + | 0.806954i | \(0.701115\pi\) | |||||||
\(908\) | −22.4214 | + | 61.6022i | −0.0246931 | + | 0.0678439i | ||||
\(909\) | 383.421 | − | 1266.93i | 0.421805 | − | 1.39376i | ||||
\(910\) | 281.180 | − | 102.341i | 0.308989 | − | 0.112463i | ||||
\(911\) | −41.4511 | − | 354.637i | −0.0455007 | − | 0.389283i | −0.996730 | − | 0.0807997i | \(-0.974253\pi\) |
0.951230 | − | 0.308484i | \(-0.0998215\pi\) | |||||||
\(912\) | −34.9823 | + | 393.086i | −0.0383578 | + | 0.431016i | ||||
\(913\) | 236.295 | + | 250.458i | 0.258812 | + | 0.274324i | ||||
\(914\) | −200.505 | − | 149.270i | −0.219371 | − | 0.163316i | ||||
\(915\) | 127.284 | − | 18.4503i | 0.139109 | − | 0.0201642i | ||||
\(916\) | 148.631 | − | 74.6454i | 0.162261 | − | 0.0814906i | ||||
\(917\) | 548.968 | + | 316.947i | 0.598656 | + | 0.345634i | ||||
\(918\) | −313.005 | − | 512.585i | −0.340964 | − | 0.558371i | ||||
\(919\) | −280.135 | − | 485.208i | −0.304826 | − | 0.527973i | 0.672397 | − | 0.740191i | \(-0.265265\pi\) |
−0.977222 | + | 0.212217i | \(0.931932\pi\) | |||||||
\(920\) | 0.372495 | − | 0.566351i | 0.000404886 | − | 0.000615599i | ||||
\(921\) | −746.087 | + | 1205.56i | −0.810083 | + | 1.30897i | ||||
\(922\) | −132.113 | − | 306.273i | −0.143290 | − | 0.332184i | ||||
\(923\) | −1590.94 | − | 476.296i | −1.72366 | − | 0.516030i | ||||
\(924\) | 189.992 | + | 88.9406i | 0.205619 | + | 0.0962561i | ||||
\(925\) | −535.585 | + | 1241.63i | −0.579011 | + | 1.34230i | ||||
\(926\) | −84.1503 | + | 100.286i | −0.0908750 | + | 0.108301i | ||||
\(927\) | 93.3613 | + | 258.912i | 0.100713 | + | 0.279301i | ||||
\(928\) | 486.072 | − | 407.863i | 0.523785 | − | 0.439507i | ||||
\(929\) | −166.182 | + | 49.7517i | −0.178883 | + | 0.0535540i | −0.374992 | − | 0.927028i | \(-0.622355\pi\) |
0.196109 | + | 0.980582i | \(0.437169\pi\) | |||||||
\(930\) | 31.4265 | + | 79.4508i | 0.0337919 | + | 0.0854310i | ||||
\(931\) | −54.9834 | − | 944.029i | −0.0590585 | − | 1.01399i | ||||
\(932\) | 138.729 | − | 8.08006i | 0.148851 | − | 0.00866959i | ||||
\(933\) | 498.880 | + | 395.676i | 0.534705 | + | 0.424090i | ||||
\(934\) | −15.0440 | − | 50.2505i | −0.0161071 | − | 0.0538014i | ||||
\(935\) | 55.4049 | + | 66.0290i | 0.0592566 | + | 0.0706192i | ||||
\(936\) | 537.983 | + | 938.276i | 0.574768 | + | 1.00243i | ||||
\(937\) | 282.211 | + | 236.803i | 0.301186 | + | 0.252725i | 0.780838 | − | 0.624734i | \(-0.214793\pi\) |
−0.479652 | + | 0.877459i | \(0.659237\pi\) | |||||||
\(938\) | 1697.32 | + | 732.152i | 1.80951 | + | 0.780546i | ||||
\(939\) | −979.088 | − | 1402.74i | −1.04269 | − | 1.49386i | ||||
\(940\) | −27.2581 | + | 91.0486i | −0.0289980 | + | 0.0968602i | ||||
\(941\) | 1015.82 | − | 438.180i | 1.07951 | − | 0.465653i | 0.219330 | − | 0.975651i | \(-0.429613\pi\) |
0.860176 | + | 0.509997i | \(0.170354\pi\) | |||||||
\(942\) | −34.1494 | + | 1116.28i | −0.0362521 | + | 1.18501i | ||||
\(943\) | −2.34889 | − | 1.54489i | −0.00249086 | − | 0.00163827i | ||||
\(944\) | 106.428 | − | 61.4464i | 0.112742 | − | 0.0650916i | ||||
\(945\) | −86.3557 | − | 328.159i | −0.0913817 | − | 0.347258i | ||||
\(946\) | 282.611 | − | 489.496i | 0.298743 | − | 0.517438i | ||||
\(947\) | 381.077 | + | 758.787i | 0.402404 | + | 0.801253i | 1.00000 | 0.000544655i | \(-0.000173369\pi\) | |
−0.597595 | + | 0.801798i | \(0.703877\pi\) | |||||||
\(948\) | −73.5868 | − | 29.3615i | −0.0776232 | − | 0.0309721i | ||||
\(949\) | −232.169 | + | 311.858i | −0.244646 | + | 0.328617i | ||||
\(950\) | 364.437 | − | 343.828i | 0.383618 | − | 0.361925i | ||||
\(951\) | −443.025 | − | 953.788i | −0.465852 | − | 1.00293i | ||||
\(952\) | 1251.84 | − | 146.319i | 1.31496 | − | 0.153696i | ||||
\(953\) | 324.618 | + | 891.882i | 0.340628 | + | 0.935867i | 0.985213 | + | 0.171335i | \(0.0548079\pi\) |
−0.644585 | + | 0.764533i | \(0.722970\pi\) | |||||||
\(954\) | −407.230 | + | 22.4980i | −0.426866 | + | 0.0235828i | ||||
\(955\) | −347.768 | − | 126.577i | −0.364155 | − | 0.132542i | ||||
\(956\) | −109.702 | + | 462.871i | −0.114751 | + | 0.484174i | ||||
\(957\) | 19.1821 | + | 694.950i | 0.0200440 | + | 0.726176i | ||||
\(958\) | −920.947 | + | 605.716i | −0.961322 | + | 0.632272i | ||||
\(959\) | 153.604 | − | 305.850i | 0.160171 | − | 0.318926i | ||||
\(960\) | −225.721 | − | 75.1702i | −0.235126 | − | 0.0783023i | ||||
\(961\) | 509.076 | − | 539.589i | 0.529736 | − | 0.561487i | ||||
\(962\) | −1335.17 | + | 235.426i | −1.38791 | + | 0.244726i | ||||
\(963\) | 1085.31 | + | 1466.96i | 1.12701 | + | 1.52332i | ||||
\(964\) | −25.3584 | + | 143.815i | −0.0263054 | + | 0.149186i | ||||
\(965\) | 91.1865 | − | 67.8858i | 0.0944938 | − | 0.0703480i | ||||
\(966\) | 3.90045 | + | 1.05137i | 0.00403774 | + | 0.00108838i | ||||
\(967\) | 250.636 | − | 59.4019i | 0.259190 | − | 0.0614290i | −0.0989666 | − | 0.995091i | \(-0.531554\pi\) |
0.358156 | + | 0.933662i | \(0.383406\pi\) | |||||||
\(968\) | 86.2206 | − | 737.665i | 0.0890709 | − | 0.762050i | ||||
\(969\) | 466.880 | + | 97.1302i | 0.481816 | + | 0.100238i | ||||
\(970\) | 14.1181 | − | 242.398i | 0.0145547 | − | 0.249895i | ||||
\(971\) | − | 485.749i | − | 0.500257i | −0.968213 | − | 0.250128i | \(-0.919527\pi\) | ||
0.968213 | − | 0.250128i | \(-0.0804728\pi\) | |||||||
\(972\) | 231.478 | − | 105.843i | 0.238146 | − | 0.108892i | ||||
\(973\) | 10.5206 | 0.0108125 | ||||||||
\(974\) | −938.088 | − | 54.6374i | −0.963129 | − | 0.0560959i | ||||
\(975\) | 201.053 | − | 966.410i | 0.206208 | − | 0.991189i | ||||
\(976\) | 407.458 | + | 47.6250i | 0.417478 | + | 0.0487961i | ||||
\(977\) | −265.268 | − | 1119.25i | −0.271513 | − | 1.14560i | −0.922341 | − | 0.386377i | \(-0.873726\pi\) |
0.650828 | − | 0.759225i | \(-0.274422\pi\) | |||||||
\(978\) | 47.2644 | − | 175.345i | 0.0483277 | − | 0.179290i | ||||
\(979\) | −361.851 | − | 486.051i | −0.369613 | − | 0.496477i | ||||
\(980\) | 88.9390 | + | 15.6823i | 0.0907541 | + | 0.0160024i | ||||
\(981\) | 184.410 | + | 1619.68i | 0.187982 | + | 1.65105i | ||||
\(982\) | −269.871 | − | 1530.51i | −0.274817 | − | 1.55857i | ||||
\(983\) | 113.527 | + | 107.107i | 0.115490 | + | 0.108959i | 0.741821 | − | 0.670598i | \(-0.233963\pi\) |
−0.626331 | + | 0.779557i | \(0.715444\pi\) | |||||||
\(984\) | −331.077 | + | 994.157i | −0.336460 | + | 1.01032i | ||||
\(985\) | −212.432 | − | 106.687i | −0.215667 | − | 0.108312i | ||||
\(986\) | 476.304 | + | 724.186i | 0.483067 | + | 0.734468i | ||||
\(987\) | −2728.28 | + | 75.3062i | −2.76421 | + | 0.0762981i | ||||
\(988\) | −173.408 | − | 41.0984i | −0.175514 | − | 0.0415976i | ||||
\(989\) | −1.32064 | + | 3.62843i | −0.00133533 | + | 0.00366879i | ||||
\(990\) | 86.1973 | − | 56.3247i | 0.0870680 | − | 0.0568936i | ||||
\(991\) | 361.652 | − | 131.630i | 0.364936 | − | 0.132826i | −0.153042 | − | 0.988220i | \(-0.548907\pi\) |
0.517978 | + | 0.855394i | \(0.326685\pi\) | |||||||
\(992\) | −27.9865 | − | 239.440i | −0.0282122 | − | 0.241371i | ||||
\(993\) | −1065.63 | + | 494.974i | −1.07314 | + | 0.498464i | ||||
\(994\) | 1586.48 | + | 1681.57i | 1.59605 | + | 1.69172i | ||||
\(995\) | 7.83543 | + | 5.83326i | 0.00787481 | + | 0.00586258i | ||||
\(996\) | −67.4250 | + | 168.983i | −0.0676958 | + | 0.169661i | ||||
\(997\) | 1547.87 | − | 777.372i | 1.55253 | − | 0.779711i | 0.553930 | − | 0.832563i | \(-0.313128\pi\) |
0.998602 | + | 0.0528526i | \(0.0168313\pi\) | |||||||
\(998\) | −76.5886 | − | 44.2184i | −0.0767420 | − | 0.0443070i | ||||
\(999\) | 127.135 | + | 1532.21i | 0.127263 | + | 1.53375i |
(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 | 81.3.h.a.2.6 | ✓ | 306 | |
3.2 | odd | 2 | 243.3.h.a.8.12 | 306 | |||
81.40 | even | 27 | 243.3.h.a.152.12 | 306 | |||
81.41 | odd | 54 | inner | 81.3.h.a.41.6 | yes | 306 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.3.h.a.2.6 | ✓ | 306 | 1.1 | even | 1 | trivial | |
81.3.h.a.41.6 | yes | 306 | 81.41 | odd | 54 | inner | |
243.3.h.a.8.12 | 306 | 3.2 | odd | 2 | |||
243.3.h.a.152.12 | 306 | 81.40 | even | 27 |