Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [164,2,Mod(7,164)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(164, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("164.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 164 = 2^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 164.o (of order \(40\), degree \(16\), 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: | \(1.30954659315\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 75.4 | ||
Character | \(\chi\) | \(=\) | 164.75 |
Dual form | 164.2.o.b.35.4 |
$q$-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 \(\left(\mathbb{Z}/164\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(129\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.12656 | − | 0.854909i | −0.796596 | − | 0.604512i | ||||
\(3\) | 1.15406 | − | 2.78614i | 0.666294 | − | 1.60858i | −0.121466 | − | 0.992596i | \(-0.538760\pi\) |
0.787761 | − | 0.615982i | \(-0.211240\pi\) | |||||||
\(4\) | 0.538261 | + | 1.92621i | 0.269130 | + | 0.963104i | ||||
\(5\) | −0.151868 | − | 0.958857i | −0.0679175 | − | 0.428814i | −0.998095 | − | 0.0617028i | \(-0.980347\pi\) |
0.930177 | − | 0.367111i | \(-0.119653\pi\) | |||||||
\(6\) | −3.68200 | + | 2.15213i | −1.50317 | + | 0.878603i | ||||
\(7\) | 4.86887 | + | 0.383188i | 1.84026 | + | 0.144832i | 0.950326 | − | 0.311257i | \(-0.100750\pi\) |
0.889935 | + | 0.456088i | \(0.150750\pi\) | |||||||
\(8\) | 1.04035 | − | 2.63015i | 0.367820 | − | 0.929897i | ||||
\(9\) | −4.30940 | − | 4.30940i | −1.43647 | − | 1.43647i | ||||
\(10\) | −0.648648 | + | 1.21004i | −0.205120 | + | 0.382648i | ||||
\(11\) | −0.728916 | + | 0.174997i | −0.219777 | + | 0.0527637i | −0.341838 | − | 0.939759i | \(-0.611049\pi\) |
0.122062 | + | 0.992523i | \(0.461049\pi\) | |||||||
\(12\) | 5.98786 | + | 0.723283i | 1.72855 | + | 0.208794i | ||||
\(13\) | −3.24854 | + | 3.80355i | −0.900982 | + | 1.05491i | 0.0972371 | + | 0.995261i | \(0.468999\pi\) |
−0.998219 | + | 0.0596532i | \(0.981001\pi\) | |||||||
\(14\) | −5.15747 | − | 4.59413i | −1.37839 | − | 1.22783i | ||||
\(15\) | −2.84677 | − | 0.683449i | −0.735033 | − | 0.176466i | ||||
\(16\) | −3.42055 | + | 2.07360i | −0.855138 | + | 0.518401i | ||||
\(17\) | −1.94650 | + | 3.17640i | −0.472095 | + | 0.770389i | −0.996719 | − | 0.0809451i | \(-0.974206\pi\) |
0.524623 | + | 0.851334i | \(0.324206\pi\) | |||||||
\(18\) | 1.17064 | + | 8.53892i | 0.275922 | + | 2.01264i | ||||
\(19\) | −2.75256 | + | 2.35091i | −0.631480 | + | 0.539335i | −0.906555 | − | 0.422088i | \(-0.861297\pi\) |
0.275075 | + | 0.961423i | \(0.411297\pi\) | |||||||
\(20\) | 1.76521 | − | 0.808644i | 0.394714 | − | 0.180818i | ||||
\(21\) | 6.68657 | − | 13.1231i | 1.45913 | − | 2.86370i | ||||
\(22\) | 0.970773 | + | 0.426013i | 0.206969 | + | 0.0908262i | ||||
\(23\) | 0.323632 | − | 0.996036i | 0.0674819 | − | 0.207688i | −0.911629 | − | 0.411013i | \(-0.865175\pi\) |
0.979111 | + | 0.203325i | \(0.0651750\pi\) | |||||||
\(24\) | −6.12733 | − | 5.93390i | −1.25074 | − | 1.21125i | ||||
\(25\) | 3.85894 | − | 1.25385i | 0.771788 | − | 0.250769i | ||||
\(26\) | 6.91135 | − | 1.50771i | 1.35543 | − | 0.295686i | ||||
\(27\) | −8.62144 | + | 3.57112i | −1.65920 | + | 0.687262i | ||||
\(28\) | 1.88262 | + | 9.58471i | 0.355782 | + | 1.81134i | ||||
\(29\) | 0.778565 | + | 1.27050i | 0.144576 | + | 0.235927i | 0.916729 | − | 0.399511i | \(-0.130820\pi\) |
−0.772153 | + | 0.635437i | \(0.780820\pi\) | |||||||
\(30\) | 2.62276 | + | 3.20368i | 0.478849 | + | 0.584908i | ||||
\(31\) | 4.75323 | − | 3.45342i | 0.853705 | − | 0.620253i | −0.0724604 | − | 0.997371i | \(-0.523085\pi\) |
0.926165 | + | 0.377119i | \(0.123085\pi\) | |||||||
\(32\) | 5.62619 | + | 0.588228i | 0.994579 | + | 0.103985i | ||||
\(33\) | −0.353644 | + | 2.23282i | −0.0615614 | + | 0.388684i | ||||
\(34\) | 4.90837 | − | 1.91431i | 0.841779 | − | 0.328302i | ||||
\(35\) | −0.372003 | − | 4.72675i | −0.0628800 | − | 0.798966i | ||||
\(36\) | 5.98121 | − | 10.6204i | 0.996869 | − | 1.77006i | ||||
\(37\) | −1.06854 | − | 0.776343i | −0.175668 | − | 0.127630i | 0.496477 | − | 0.868050i | \(-0.334627\pi\) |
−0.672145 | + | 0.740420i | \(0.734627\pi\) | |||||||
\(38\) | 5.11072 | − | 0.295243i | 0.829068 | − | 0.0478947i | ||||
\(39\) | 6.84821 | + | 13.4404i | 1.09659 | + | 2.15218i | ||||
\(40\) | −2.67993 | − | 0.598113i | −0.423734 | − | 0.0945700i | ||||
\(41\) | −5.42638 | + | 3.39918i | −0.847458 | + | 0.530862i | ||||
\(42\) | −18.7519 | + | 9.06754i | −2.89348 | + | 1.39915i | ||||
\(43\) | −3.84819 | + | 1.96075i | −0.586844 | + | 0.299012i | −0.722089 | − | 0.691800i | \(-0.756818\pi\) |
0.135245 | + | 0.990812i | \(0.456818\pi\) | |||||||
\(44\) | −0.729428 | − | 1.30985i | −0.109965 | − | 0.197467i | ||||
\(45\) | −3.47763 | + | 4.78655i | −0.518415 | + | 0.713537i | ||||
\(46\) | −1.21611 | + | 0.845416i | −0.179306 | + | 0.124650i | ||||
\(47\) | 8.53189 | − | 0.671474i | 1.24450 | − | 0.0979445i | 0.560953 | − | 0.827848i | \(-0.310435\pi\) |
0.683551 | + | 0.729903i | \(0.260435\pi\) | |||||||
\(48\) | 1.82984 | + | 11.9232i | 0.264114 | + | 1.72096i | ||||
\(49\) | 16.6453 | + | 2.63635i | 2.37789 | + | 0.376621i | ||||
\(50\) | −5.41924 | − | 1.88651i | −0.766396 | − | 0.266793i | ||||
\(51\) | 6.60351 | + | 9.08895i | 0.924676 | + | 1.27271i | ||||
\(52\) | −9.07498 | − | 4.21006i | −1.25847 | − | 0.583830i | ||||
\(53\) | −2.36358 | + | 1.44840i | −0.324662 | + | 0.198953i | −0.675273 | − | 0.737568i | \(-0.735974\pi\) |
0.350610 | + | 0.936521i | \(0.385974\pi\) | |||||||
\(54\) | 12.7655 | + | 3.34748i | 1.73717 | + | 0.455534i | ||||
\(55\) | 0.278497 | + | 0.672350i | 0.0375525 | + | 0.0906597i | ||||
\(56\) | 6.07318 | − | 12.4072i | 0.811563 | − | 1.65798i | ||||
\(57\) | 3.37334 | + | 10.3821i | 0.446810 | + | 1.37514i | ||||
\(58\) | 0.209067 | − | 2.09690i | 0.0274518 | − | 0.275336i | ||||
\(59\) | 1.03830 | + | 0.337364i | 0.135175 | + | 0.0439210i | 0.375823 | − | 0.926691i | \(-0.377360\pi\) |
−0.240648 | + | 0.970612i | \(0.577360\pi\) | |||||||
\(60\) | −0.215840 | − | 5.85135i | −0.0278648 | − | 0.755406i | ||||
\(61\) | −7.37122 | − | 3.75582i | −0.943788 | − | 0.480884i | −0.0868030 | − | 0.996225i | \(-0.527665\pi\) |
−0.856985 | + | 0.515342i | \(0.827665\pi\) | |||||||
\(62\) | −8.30714 | − | 0.173101i | −1.05501 | − | 0.0219839i | ||||
\(63\) | −19.3306 | − | 22.6332i | −2.43542 | − | 2.85152i | ||||
\(64\) | −5.83534 | − | 5.47255i | −0.729417 | − | 0.684069i | ||||
\(65\) | 4.14041 | + | 2.53725i | 0.513554 | + | 0.314707i | ||||
\(66\) | 2.30726 | − | 2.21306i | 0.284004 | − | 0.272409i | ||||
\(67\) | −1.02203 | + | 4.25705i | −0.124861 | + | 0.520082i | 0.874523 | + | 0.484983i | \(0.161174\pi\) |
−0.999384 | + | 0.0350982i | \(0.988826\pi\) | |||||||
\(68\) | −7.16612 | − | 2.03963i | −0.869020 | − | 0.247341i | ||||
\(69\) | −2.40160 | − | 2.05116i | −0.289119 | − | 0.246931i | ||||
\(70\) | −3.62186 | + | 5.64298i | −0.432895 | + | 0.674465i | ||||
\(71\) | −2.62998 | − | 10.9546i | −0.312121 | − | 1.30008i | −0.879215 | − | 0.476425i | \(-0.841933\pi\) |
0.567094 | − | 0.823653i | \(-0.308067\pi\) | |||||||
\(72\) | −15.8176 | + | 6.85106i | −1.86413 | + | 0.807405i | ||||
\(73\) | 0.557615 | − | 0.557615i | 0.0652639 | − | 0.0652639i | −0.673721 | − | 0.738985i | \(-0.735305\pi\) |
0.738985 | + | 0.673721i | \(0.235305\pi\) | |||||||
\(74\) | 0.540073 | + | 1.78810i | 0.0627823 | + | 0.207863i | ||||
\(75\) | 0.960046 | − | 12.1985i | 0.110857 | − | 1.40857i | ||||
\(76\) | −6.00992 | − | 4.03659i | −0.689386 | − | 0.463029i | ||||
\(77\) | −3.61606 | + | 0.572727i | −0.412088 | + | 0.0652683i | ||||
\(78\) | 3.77540 | − | 20.9959i | 0.427480 | − | 2.37732i | ||||
\(79\) | 1.99818 | + | 0.827674i | 0.224813 | + | 0.0931206i | 0.492247 | − | 0.870456i | \(-0.336176\pi\) |
−0.267434 | + | 0.963576i | \(0.586176\pi\) | |||||||
\(80\) | 2.50776 | + | 2.96491i | 0.280376 | + | 0.331486i | ||||
\(81\) | 9.85856i | 1.09540i | ||||||||
\(82\) | 9.01911 | + | 0.809695i | 0.995994 | + | 0.0894159i | ||||
\(83\) | − | 3.72000i | − | 0.408323i | −0.978937 | − | 0.204162i | \(-0.934553\pi\) | ||
0.978937 | − | 0.204162i | \(-0.0654468\pi\) | |||||||
\(84\) | 28.8770 | + | 5.81605i | 3.15074 | + | 0.634583i | ||||
\(85\) | 3.34132 | + | 1.38402i | 0.362417 | + | 0.150118i | ||||
\(86\) | 6.01147 | + | 1.08096i | 0.648234 | + | 0.116562i | ||||
\(87\) | 4.43830 | − | 0.702958i | 0.475836 | − | 0.0753650i | ||||
\(88\) | −0.298060 | + | 2.09922i | −0.0317733 | + | 0.223777i | ||||
\(89\) | −0.600704 | + | 7.63267i | −0.0636745 | + | 0.809061i | 0.879315 | + | 0.476240i | \(0.158001\pi\) |
−0.942990 | + | 0.332821i | \(0.891999\pi\) | |||||||
\(90\) | 8.00982 | − | 2.41926i | 0.844309 | − | 0.255013i | ||||
\(91\) | −17.2742 | + | 17.2742i | −1.81083 | + | 1.81083i | ||||
\(92\) | 2.09277 | + | 0.0872548i | 0.218186 | + | 0.00909694i | ||||
\(93\) | −4.13622 | − | 17.2286i | −0.428906 | − | 1.78652i | ||||
\(94\) | −10.1857 | − | 6.53753i | −1.05058 | − | 0.674295i | ||||
\(95\) | 2.67221 | + | 2.28228i | 0.274163 | + | 0.234157i | ||||
\(96\) | 8.13182 | − | 14.9965i | 0.829950 | − | 1.53057i | ||||
\(97\) | −0.788153 | + | 3.28289i | −0.0800248 | + | 0.333327i | −0.997993 | − | 0.0633271i | \(-0.979829\pi\) |
0.917968 | + | 0.396654i | \(0.129829\pi\) | |||||||
\(98\) | −16.4980 | − | 17.2002i | −1.66655 | − | 1.73748i | ||||
\(99\) | 3.89532 | + | 2.38706i | 0.391495 | + | 0.239908i | ||||
\(100\) | 4.49228 | + | 6.75822i | 0.449228 | + | 0.675822i | ||||
\(101\) | 8.02819 | + | 9.39981i | 0.798835 | + | 0.935316i | 0.999012 | − | 0.0444440i | \(-0.0141516\pi\) |
−0.200177 | + | 0.979760i | \(0.564152\pi\) | |||||||
\(102\) | 0.330999 | − | 15.8846i | 0.0327737 | − | 1.57281i | ||||
\(103\) | 3.60378 | + | 1.83622i | 0.355091 | + | 0.180928i | 0.622431 | − | 0.782674i | \(-0.286145\pi\) |
−0.267341 | + | 0.963602i | \(0.586145\pi\) | |||||||
\(104\) | 6.62427 | + | 12.5012i | 0.649563 | + | 1.22584i | ||||
\(105\) | −13.5987 | − | 4.41848i | −1.32709 | − | 0.431199i | ||||
\(106\) | 3.90096 | + | 0.388937i | 0.378895 | + | 0.0377769i | ||||
\(107\) | 1.77054 | + | 5.44916i | 0.171164 | + | 0.526790i | 0.999438 | − | 0.0335347i | \(-0.0106764\pi\) |
−0.828273 | + | 0.560324i | \(0.810676\pi\) | |||||||
\(108\) | −11.5193 | − | 14.6845i | −1.10844 | − | 1.41302i | ||||
\(109\) | −4.08462 | − | 9.86114i | −0.391235 | − | 0.944526i | −0.989671 | − | 0.143355i | \(-0.954211\pi\) |
0.598436 | − | 0.801171i | \(-0.295789\pi\) | |||||||
\(110\) | 0.261056 | − | 0.995530i | 0.0248907 | − | 0.0949200i | ||||
\(111\) | −3.39616 | + | 2.08117i | −0.322349 | + | 0.197536i | ||||
\(112\) | −17.4488 | + | 8.78539i | −1.64876 | + | 0.830142i | ||||
\(113\) | −7.01751 | − | 9.65878i | −0.660152 | − | 0.908622i | 0.339334 | − | 0.940666i | \(-0.389798\pi\) |
−0.999486 | + | 0.0320443i | \(0.989798\pi\) | |||||||
\(114\) | 5.07547 | − | 14.5799i | 0.475361 | − | 1.36553i | ||||
\(115\) | −1.00421 | − | 0.159051i | −0.0936427 | − | 0.0148315i | ||||
\(116\) | −2.02818 | + | 2.18354i | −0.188312 | + | 0.202737i | ||||
\(117\) | 30.3902 | − | 2.39176i | 2.80958 | − | 0.221119i | ||||
\(118\) | −0.881287 | − | 1.26771i | −0.0811291 | − | 0.116702i | ||||
\(119\) | −10.6944 | + | 14.7196i | −0.980355 | + | 1.34934i | ||||
\(120\) | −4.75921 | + | 6.77640i | −0.434455 | + | 0.618598i | ||||
\(121\) | −9.30038 | + | 4.73878i | −0.845489 | + | 0.430798i | ||||
\(122\) | 5.09321 | + | 10.5329i | 0.461118 | + | 0.953601i | ||||
\(123\) | 3.20823 | + | 19.0415i | 0.289276 | + | 1.71691i | ||||
\(124\) | 9.21048 | + | 7.29686i | 0.827125 | + | 0.655277i | ||||
\(125\) | −3.99200 | − | 7.83474i | −0.357055 | − | 0.700760i | ||||
\(126\) | 2.42767 | + | 42.0235i | 0.216274 | + | 3.74375i | ||||
\(127\) | −10.5642 | − | 7.67536i | −0.937424 | − | 0.681078i | 0.0103755 | − | 0.999946i | \(-0.496697\pi\) |
−0.947799 | + | 0.318868i | \(0.896697\pi\) | |||||||
\(128\) | 1.89531 | + | 11.1538i | 0.167523 | + | 0.985868i | ||||
\(129\) | 1.02189 | + | 12.9844i | 0.0899728 | + | 1.14321i | ||||
\(130\) | −2.49529 | − | 6.39802i | −0.218851 | − | 0.561144i | ||||
\(131\) | 1.46433 | − | 9.24543i | 0.127939 | − | 0.807777i | −0.837364 | − | 0.546646i | \(-0.815904\pi\) |
0.965303 | − | 0.261131i | \(-0.0840956\pi\) | |||||||
\(132\) | −4.49122 | + | 0.520647i | −0.390911 | + | 0.0453165i | ||||
\(133\) | −14.3027 | + | 10.3915i | −1.24020 | + | 0.901058i | ||||
\(134\) | 4.79076 | − | 3.92207i | 0.413859 | − | 0.338815i | ||||
\(135\) | 4.73351 | + | 7.72439i | 0.407396 | + | 0.664810i | ||||
\(136\) | 6.32935 | + | 8.42414i | 0.542737 | + | 0.722364i | ||||
\(137\) | −15.3115 | + | 6.34224i | −1.30815 | + | 0.541854i | −0.924345 | − | 0.381559i | \(-0.875387\pi\) |
−0.383808 | + | 0.923413i | \(0.625387\pi\) | |||||||
\(138\) | 0.951985 | + | 4.36391i | 0.0810384 | + | 0.371480i | ||||
\(139\) | 15.1410 | − | 4.91961i | 1.28424 | − | 0.417276i | 0.414171 | − | 0.910199i | \(-0.364072\pi\) |
0.870073 | + | 0.492923i | \(0.164072\pi\) | |||||||
\(140\) | 8.90446 | − | 3.26078i | 0.752564 | − | 0.275586i | ||||
\(141\) | 7.97545 | − | 24.5459i | 0.671654 | − | 2.06714i | ||||
\(142\) | −6.40241 | + | 14.5894i | −0.537278 | + | 1.22432i | ||||
\(143\) | 1.70230 | − | 3.34095i | 0.142354 | − | 0.279385i | ||||
\(144\) | 23.6765 | + | 5.80453i | 1.97304 | + | 0.483711i | ||||
\(145\) | 1.09999 | − | 0.939482i | 0.0913493 | − | 0.0780197i | ||||
\(146\) | −1.10489 | + | 0.151475i | −0.0914418 | + | 0.0125361i | ||||
\(147\) | 26.5548 | − | 43.3335i | 2.19020 | − | 3.57408i | ||||
\(148\) | 0.920242 | − | 2.47611i | 0.0756434 | − | 0.203535i | ||||
\(149\) | −2.32059 | − | 0.557124i | −0.190110 | − | 0.0456414i | 0.137272 | − | 0.990533i | \(-0.456166\pi\) |
−0.327382 | + | 0.944892i | \(0.606166\pi\) | |||||||
\(150\) | −11.5102 | + | 12.9216i | −0.939803 | + | 1.05504i | ||||
\(151\) | 1.11838 | − | 1.30946i | 0.0910125 | − | 0.106562i | −0.713031 | − | 0.701133i | \(-0.752678\pi\) |
0.804043 | + | 0.594571i | \(0.202678\pi\) | |||||||
\(152\) | 3.31960 | + | 9.68539i | 0.269255 | + | 0.785589i | ||||
\(153\) | 22.0766 | − | 5.30012i | 1.78479 | − | 0.428489i | ||||
\(154\) | 4.56332 | + | 2.44619i | 0.367723 | + | 0.197120i | ||||
\(155\) | −4.03320 | − | 4.03320i | −0.323954 | − | 0.323954i | ||||
\(156\) | −22.2028 | + | 20.4255i | −1.77765 | + | 1.63535i | ||||
\(157\) | 19.0275 | + | 1.49750i | 1.51856 | + | 0.119513i | 0.810124 | − | 0.586259i | \(-0.199400\pi\) |
0.708439 | + | 0.705772i | \(0.249400\pi\) | |||||||
\(158\) | −1.54348 | − | 2.64069i | −0.122793 | − | 0.210082i | ||||
\(159\) | 1.30775 | + | 8.25679i | 0.103711 | + | 0.654806i | ||||
\(160\) | −0.290412 | − | 5.48404i | −0.0229591 | − | 0.433552i | ||||
\(161\) | 1.95739 | − | 4.72556i | 0.154264 | − | 0.372426i | ||||
\(162\) | 8.42818 | − | 11.1062i | 0.662180 | − | 0.872588i | ||||
\(163\) | −7.92854 | −0.621011 | −0.310505 | − | 0.950572i | \(-0.600498\pi\) | ||||
−0.310505 | + | 0.950572i | \(0.600498\pi\) | |||||||
\(164\) | −9.46833 | − | 8.62269i | −0.739352 | − | 0.673319i | ||||
\(165\) | 2.19466 | 0.170854 | ||||||||
\(166\) | −3.18026 | + | 4.19079i | −0.246836 | + | 0.325269i | ||||
\(167\) | −6.92895 | + | 16.7280i | −0.536178 | + | 1.29445i | 0.391194 | + | 0.920308i | \(0.372062\pi\) |
−0.927372 | + | 0.374140i | \(0.877938\pi\) | |||||||
\(168\) | −27.5594 | − | 31.2393i | −2.12625 | − | 2.41016i | ||||
\(169\) | −1.88034 | − | 11.8720i | −0.144641 | − | 0.913230i | ||||
\(170\) | −2.58098 | − | 4.41570i | −0.197952 | − | 0.338669i | ||||
\(171\) | 21.9928 | + | 1.73087i | 1.68183 | + | 0.132363i | ||||
\(172\) | −5.84814 | − | 6.35702i | −0.445917 | − | 0.484718i | ||||
\(173\) | 8.35252 | + | 8.35252i | 0.635030 | + | 0.635030i | 0.949325 | − | 0.314295i | \(-0.101768\pi\) |
−0.314295 | + | 0.949325i | \(0.601768\pi\) | |||||||
\(174\) | −5.60097 | − | 3.00242i | −0.424608 | − | 0.227613i | ||||
\(175\) | 19.2691 | − | 4.62611i | 1.45661 | − | 0.349701i | ||||
\(176\) | 2.13042 | − | 2.11007i | 0.160586 | − | 0.159053i | ||||
\(177\) | 2.13820 | − | 2.50351i | 0.160717 | − | 0.188175i | ||||
\(178\) | 7.20196 | − | 8.08509i | 0.539810 | − | 0.606003i | ||||
\(179\) | −24.1951 | − | 5.80874i | −1.80843 | − | 0.434165i | −0.818355 | − | 0.574713i | \(-0.805114\pi\) |
−0.990074 | + | 0.140548i | \(0.955114\pi\) | |||||||
\(180\) | −11.0918 | − | 4.12223i | −0.826732 | − | 0.307253i | ||||
\(181\) | 11.8745 | − | 19.3774i | 0.882625 | − | 1.44031i | −0.0151627 | − | 0.999885i | \(-0.504827\pi\) |
0.897788 | − | 0.440428i | \(-0.145173\pi\) | |||||||
\(182\) | 34.2282 | − | 4.69249i | 2.53716 | − | 0.347831i | ||||
\(183\) | −18.9710 | + | 16.2028i | −1.40238 | + | 1.19775i | ||||
\(184\) | −2.28303 | − | 1.88743i | −0.168307 | − | 0.139143i | ||||
\(185\) | −0.582124 | + | 1.14248i | −0.0427986 | + | 0.0839970i | ||||
\(186\) | −10.0692 | + | 22.9451i | −0.738309 | + | 1.68241i | ||||
\(187\) | 0.862973 | − | 2.65596i | 0.0631069 | − | 0.194223i | ||||
\(188\) | 5.88578 | + | 16.0728i | 0.429264 | + | 1.17223i | ||||
\(189\) | −43.3451 | + | 14.0837i | −3.15289 | + | 1.02444i | ||||
\(190\) | −1.05925 | − | 4.85561i | −0.0768461 | − | 0.352263i | ||||
\(191\) | 2.61785 | − | 1.08435i | 0.189421 | − | 0.0784607i | −0.285957 | − | 0.958243i | \(-0.592311\pi\) |
0.475378 | + | 0.879782i | \(0.342311\pi\) | |||||||
\(192\) | −21.9816 | + | 9.94243i | −1.58638 | + | 0.717533i | ||||
\(193\) | −3.21300 | − | 5.24315i | −0.231277 | − | 0.377410i | 0.715857 | − | 0.698246i | \(-0.246036\pi\) |
−0.947135 | + | 0.320836i | \(0.896036\pi\) | |||||||
\(194\) | 3.69448 | − | 3.02457i | 0.265248 | − | 0.217151i | ||||
\(195\) | 11.8474 | − | 8.60762i | 0.848408 | − | 0.616405i | ||||
\(196\) | 3.88133 | + | 33.4813i | 0.277238 | + | 2.39152i | ||||
\(197\) | −3.81390 | + | 24.0800i | −0.271729 | + | 1.71563i | 0.353709 | + | 0.935355i | \(0.384920\pi\) |
−0.625438 | + | 0.780274i | \(0.715080\pi\) | |||||||
\(198\) | −2.34759 | − | 6.01930i | −0.166836 | − | 0.427773i | ||||
\(199\) | 0.211431 | + | 2.68648i | 0.0149879 | + | 0.190439i | 0.999853 | + | 0.0171194i | \(0.00544952\pi\) |
−0.984866 | + | 0.173320i | \(0.944550\pi\) | |||||||
\(200\) | 0.716855 | − | 11.4540i | 0.0506893 | − | 0.809921i | ||||
\(201\) | 10.6813 | + | 7.76038i | 0.753397 | + | 0.547375i | ||||
\(202\) | −1.00824 | − | 17.4528i | −0.0709392 | − | 1.22797i | ||||
\(203\) | 3.30389 | + | 6.48425i | 0.231888 | + | 0.455105i | ||||
\(204\) | −13.9528 | + | 17.6120i | −0.976891 | + | 1.23308i | ||||
\(205\) | 4.08342 | + | 4.68690i | 0.285198 | + | 0.327347i | ||||
\(206\) | −2.49006 | − | 5.14950i | −0.173491 | − | 0.358783i | ||||
\(207\) | −5.68697 | + | 2.89766i | −0.395272 | + | 0.201401i | ||||
\(208\) | 3.22473 | − | 19.7464i | 0.223595 | − | 1.36917i | ||||
\(209\) | 1.59498 | − | 2.19530i | 0.110327 | − | 0.151852i | ||||
\(210\) | 11.5423 | + | 16.6033i | 0.796493 | + | 1.14574i | ||||
\(211\) | 2.94049 | − | 0.231421i | 0.202431 | − | 0.0159317i | 0.0231621 | − | 0.999732i | \(-0.492627\pi\) |
0.179269 | + | 0.983800i | \(0.442627\pi\) | |||||||
\(212\) | −4.06215 | − | 3.77312i | −0.278989 | − | 0.259139i | ||||
\(213\) | −33.5563 | − | 5.31479i | −2.29924 | − | 0.364164i | ||||
\(214\) | 2.66392 | − | 7.65243i | 0.182102 | − | 0.523110i | ||||
\(215\) | 2.46450 | + | 3.39209i | 0.168077 | + | 0.231339i | ||||
\(216\) | 0.423236 | + | 26.3909i | 0.0287976 | + | 1.79567i | ||||
\(217\) | 24.4662 | − | 14.9929i | 1.66087 | − | 1.01778i | ||||
\(218\) | −3.82882 | + | 14.6011i | −0.259321 | + | 0.988912i | ||||
\(219\) | −0.910073 | − | 2.19711i | −0.0614970 | − | 0.148467i | ||||
\(220\) | −1.14518 | + | 0.898342i | −0.0772082 | + | 0.0605662i | ||||
\(221\) | −5.75831 | − | 17.7222i | −0.387346 | − | 1.19213i | ||||
\(222\) | 5.60518 | + | 0.558852i | 0.376195 | + | 0.0375077i | ||||
\(223\) | −13.9428 | − | 4.53029i | −0.933678 | − | 0.303370i | −0.197612 | − | 0.980280i | \(-0.563319\pi\) |
−0.736066 | + | 0.676910i | \(0.763319\pi\) | |||||||
\(224\) | 27.1678 | + | 5.01990i | 1.81522 | + | 0.335406i | ||||
\(225\) | −22.0330 | − | 11.2264i | −1.46887 | − | 0.748425i | ||||
\(226\) | −0.351750 | + | 16.8805i | −0.0233981 | + | 1.12287i | ||||
\(227\) | 1.42030 | + | 1.66296i | 0.0942687 | + | 0.110374i | 0.805535 | − | 0.592548i | \(-0.201878\pi\) |
−0.711266 | + | 0.702923i | \(0.751878\pi\) | |||||||
\(228\) | −18.1823 | + | 12.0860i | −1.20415 | + | 0.800416i | ||||
\(229\) | −7.56043 | − | 4.63304i | −0.499607 | − | 0.306160i | 0.249767 | − | 0.968306i | \(-0.419646\pi\) |
−0.749375 | + | 0.662146i | \(0.769646\pi\) | |||||||
\(230\) | 0.995321 | + | 1.03768i | 0.0656295 | + | 0.0684229i | ||||
\(231\) | −2.57744 | + | 10.7358i | −0.169583 | + | 0.706363i | ||||
\(232\) | 4.15159 | − | 0.725971i | 0.272565 | − | 0.0476623i | ||||
\(233\) | 4.23967 | + | 3.62102i | 0.277750 | + | 0.237221i | 0.777400 | − | 0.629006i | \(-0.216538\pi\) |
−0.499650 | + | 0.866227i | \(0.666538\pi\) | |||||||
\(234\) | −36.2811 | − | 23.2864i | −2.37177 | − | 1.52228i | ||||
\(235\) | −1.93957 | − | 8.07888i | −0.126523 | − | 0.527008i | ||||
\(236\) | −0.0909571 | + | 2.18157i | −0.00592080 | + | 0.142008i | ||||
\(237\) | 4.61203 | − | 4.61203i | 0.299583 | − | 0.299583i | ||||
\(238\) | 24.6318 | − | 7.43971i | 1.59664 | − | 0.482245i | ||||
\(239\) | −0.0841237 | + | 1.06889i | −0.00544151 | + | 0.0691409i | −0.999039 | − | 0.0438414i | \(-0.986040\pi\) |
0.993597 | + | 0.112982i | \(0.0360404\pi\) | |||||||
\(240\) | 11.1547 | − | 3.56530i | 0.720035 | − | 0.230139i | ||||
\(241\) | −3.34241 | + | 0.529385i | −0.215303 | + | 0.0341007i | −0.263154 | − | 0.964754i | \(-0.584763\pi\) |
0.0478508 | + | 0.998854i | \(0.484763\pi\) | |||||||
\(242\) | 14.5286 | + | 2.61247i | 0.933936 | + | 0.167936i | ||||
\(243\) | 1.60299 | + | 0.663982i | 0.102832 | + | 0.0425944i | ||||
\(244\) | 3.26686 | − | 16.2201i | 0.209139 | − | 1.03839i | ||||
\(245\) | − | 16.3608i | − | 1.04525i | ||||||
\(246\) | 12.6645 | − | 24.1941i | 0.807458 | − | 1.54256i | ||||
\(247\) | − | 18.1065i | − | 1.15209i | ||||||
\(248\) | −4.13798 | − | 16.0944i | −0.262762 | − | 1.02200i | ||||
\(249\) | −10.3644 | − | 4.29309i | −0.656819 | − | 0.272064i | ||||
\(250\) | −2.20078 | + | 12.2391i | −0.139189 | + | 0.774067i | ||||
\(251\) | −16.4414 | + | 2.60406i | −1.03777 | + | 0.164367i | −0.651994 | − | 0.758224i | \(-0.726067\pi\) |
−0.385779 | + | 0.922591i | \(0.626067\pi\) | |||||||
\(252\) | 33.1914 | − | 49.4173i | 2.09086 | − | 3.11300i | ||||
\(253\) | −0.0615968 | + | 0.782662i | −0.00387256 | + | 0.0492055i | ||||
\(254\) | 5.33947 | + | 17.6782i | 0.335028 | + | 1.10923i | ||||
\(255\) | 7.71214 | − | 7.71214i | 0.482953 | − | 0.482953i | ||||
\(256\) | 7.40034 | − | 14.1857i | 0.462521 | − | 0.886608i | ||||
\(257\) | 3.79018 | + | 15.7872i | 0.236425 | + | 0.984780i | 0.956696 | + | 0.291088i | \(0.0940172\pi\) |
−0.720271 | + | 0.693692i | \(0.755983\pi\) | |||||||
\(258\) | 9.94926 | − | 15.5013i | 0.619414 | − | 0.965069i | ||||
\(259\) | −4.90512 | − | 4.18937i | −0.304789 | − | 0.260315i | ||||
\(260\) | −2.65864 | + | 9.34098i | −0.164882 | + | 0.579303i | ||||
\(261\) | 2.11995 | − | 8.83025i | 0.131222 | − | 0.546579i | ||||
\(262\) | −9.55366 | + | 9.16363i | −0.590227 | + | 0.566131i | ||||
\(263\) | −1.26551 | − | 0.775508i | −0.0780349 | − | 0.0478199i | 0.482934 | − | 0.875657i | \(-0.339571\pi\) |
−0.560969 | + | 0.827837i | \(0.689571\pi\) | |||||||
\(264\) | 5.50472 | + | 3.25305i | 0.338792 | + | 0.200211i | ||||
\(265\) | 1.74776 | + | 2.04637i | 0.107364 | + | 0.125707i | ||||
\(266\) | 24.9966 | + | 0.520871i | 1.53264 | + | 0.0319366i | ||||
\(267\) | 20.5724 | + | 10.4822i | 1.25901 | + | 0.641498i | ||||
\(268\) | −8.75008 | + | 0.322766i | −0.534496 | + | 0.0197161i | ||||
\(269\) | 22.5199 | + | 7.31716i | 1.37306 | + | 0.446135i | 0.900383 | − | 0.435098i | \(-0.143286\pi\) |
0.472681 | + | 0.881234i | \(0.343286\pi\) | |||||||
\(270\) | 1.27108 | − | 12.7487i | 0.0773555 | − | 0.775860i | ||||
\(271\) | 5.45768 | + | 16.7970i | 0.331530 | + | 1.02035i | 0.968406 | + | 0.249379i | \(0.0802265\pi\) |
−0.636876 | + | 0.770967i | \(0.719773\pi\) | |||||||
\(272\) | 0.0715091 | − | 14.9013i | 0.00433588 | − | 0.903524i | ||||
\(273\) | 28.1929 | + | 68.0636i | 1.70631 | + | 4.11940i | ||||
\(274\) | 22.6714 | + | 5.94507i | 1.36963 | + | 0.359155i | ||||
\(275\) | −2.59342 | + | 1.58925i | −0.156389 | + | 0.0958355i | ||||
\(276\) | 2.65828 | − | 5.73005i | 0.160010 | − | 0.344908i | ||||
\(277\) | 7.99019 | + | 10.9976i | 0.480084 | + | 0.660779i | 0.978521 | − | 0.206147i | \(-0.0660925\pi\) |
−0.498437 | + | 0.866926i | \(0.666092\pi\) | |||||||
\(278\) | −21.2630 | − | 7.40197i | −1.27527 | − | 0.443940i | ||||
\(279\) | −35.3657 | − | 5.60137i | −2.11729 | − | 0.335346i | ||||
\(280\) | −12.8190 | − | 3.93905i | −0.766085 | − | 0.235403i | ||||
\(281\) | −31.2182 | + | 2.45692i | −1.86232 | + | 0.146568i | −0.959183 | − | 0.282786i | \(-0.908741\pi\) |
−0.903137 | + | 0.429353i | \(0.858741\pi\) | |||||||
\(282\) | −29.9693 | + | 20.8341i | −1.78465 | + | 1.24065i | ||||
\(283\) | 18.5124 | − | 25.4801i | 1.10045 | − | 1.51464i | 0.265657 | − | 0.964068i | \(-0.414411\pi\) |
0.834790 | − | 0.550568i | \(-0.185589\pi\) | |||||||
\(284\) | 19.6853 | − | 10.9623i | 1.16811 | − | 0.650495i | ||||
\(285\) | 9.44262 | − | 4.81126i | 0.559333 | − | 0.284994i | ||||
\(286\) | −4.77395 | + | 2.30846i | −0.282290 | + | 0.136502i | ||||
\(287\) | −27.7229 | + | 14.4708i | −1.63643 | + | 0.854186i | ||||
\(288\) | −21.7106 | − | 26.7804i | −1.27931 | − | 1.57805i | ||||
\(289\) | 1.41720 | + | 2.78141i | 0.0833647 | + | 0.163612i | ||||
\(290\) | −2.04237 | + | 0.117987i | −0.119932 | + | 0.00692841i | ||||
\(291\) | 8.23702 | + | 5.98455i | 0.482863 | + | 0.350820i | ||||
\(292\) | 1.37422 | + | 0.773940i | 0.0804204 | + | 0.0452914i | ||||
\(293\) | −0.638246 | − | 8.10968i | −0.0372867 | − | 0.473773i | −0.987007 | − | 0.160674i | \(-0.948633\pi\) |
0.949721 | − | 0.313098i | \(-0.101367\pi\) | |||||||
\(294\) | −66.9617 | + | 26.1157i | −3.90528 | + | 1.52310i | ||||
\(295\) | 0.165799 | − | 1.04681i | 0.00965320 | − | 0.0609479i | ||||
\(296\) | −3.15356 | + | 2.00276i | −0.183297 | + | 0.116408i | ||||
\(297\) | 5.65937 | − | 4.11177i | 0.328390 | − | 0.238589i | ||||
\(298\) | 2.13799 | + | 2.61153i | 0.123850 | + | 0.151282i | ||||
\(299\) | 2.73714 | + | 4.46661i | 0.158293 | + | 0.258311i | ||||
\(300\) | 24.0137 | − | 4.71675i | 1.38643 | − | 0.272322i | ||||
\(301\) | −19.4877 | + | 8.07206i | −1.12325 | + | 0.465266i | ||||
\(302\) | −2.37938 | + | 0.519062i | −0.136918 | + | 0.0298687i | ||||
\(303\) | 35.4541 | − | 11.5197i | 2.03679 | − | 0.661792i | ||||
\(304\) | 4.54041 | − | 13.7491i | 0.260411 | − | 0.788565i | ||||
\(305\) | −2.48185 | + | 7.63834i | −0.142110 | + | 0.437370i | ||||
\(306\) | −29.4016 | − | 12.9026i | −1.68078 | − | 0.737592i | ||||
\(307\) | −8.45170 | + | 16.5874i | −0.482364 | + | 0.946692i | 0.513693 | + | 0.857974i | \(0.328277\pi\) |
−0.996057 | + | 0.0887181i | \(0.971723\pi\) | |||||||
\(308\) | −3.04957 | − | 6.65700i | −0.173766 | − | 0.379318i | ||||
\(309\) | 9.27491 | − | 7.92152i | 0.527631 | − | 0.450640i | ||||
\(310\) | 1.09561 | + | 7.99165i | 0.0622264 | + | 0.453895i | ||||
\(311\) | 13.5424 | − | 22.0991i | 0.767918 | − | 1.25313i | −0.194326 | − | 0.980937i | \(-0.562252\pi\) |
0.962243 | − | 0.272191i | \(-0.0877481\pi\) | |||||||
\(312\) | 42.4747 | − | 4.02909i | 2.40466 | − | 0.228102i | ||||
\(313\) | −21.2646 | − | 5.10517i | −1.20194 | − | 0.288561i | −0.417452 | − | 0.908699i | \(-0.637077\pi\) |
−0.784493 | + | 0.620138i | \(0.787077\pi\) | |||||||
\(314\) | −20.1554 | − | 17.9538i | −1.13743 | − | 1.01319i | ||||
\(315\) | −18.7663 | + | 21.9725i | −1.05736 | + | 1.23801i | ||||
\(316\) | −0.518729 | + | 4.29442i | −0.0291808 | + | 0.241580i | ||||
\(317\) | −2.58544 | + | 0.620710i | −0.145213 | + | 0.0348625i | −0.305400 | − | 0.952224i | \(-0.598790\pi\) |
0.160187 | + | 0.987087i | \(0.448790\pi\) | |||||||
\(318\) | 5.58555 | − | 10.4197i | 0.313222 | − | 0.584311i | ||||
\(319\) | −0.789844 | − | 0.789844i | −0.0442228 | − | 0.0442228i | ||||
\(320\) | −4.36119 | + | 6.42636i | −0.243798 | + | 0.359245i | ||||
\(321\) | 17.2254 | + | 1.35567i | 0.961428 | + | 0.0756660i | ||||
\(322\) | −6.24504 | + | 3.65022i | −0.348022 | + | 0.203419i | ||||
\(323\) | −2.10956 | − | 13.3192i | −0.117379 | − | 0.741102i | ||||
\(324\) | −18.9896 | + | 5.30648i | −1.05498 | + | 0.294804i | ||||
\(325\) | −7.76685 | + | 18.7508i | −0.430827 | + | 1.04011i | ||||
\(326\) | 8.93195 | + | 6.77818i | 0.494695 | + | 0.375409i | ||||
\(327\) | −32.1884 | −1.78002 | ||||||||
\(328\) | 3.29499 | + | 17.8085i | 0.181936 | + | 0.983310i | ||||
\(329\) | 41.7980 | 2.30440 | ||||||||
\(330\) | −2.47241 | − | 1.87624i | −0.136102 | − | 0.103283i | ||||
\(331\) | −2.92084 | + | 7.05154i | −0.160544 | + | 0.387588i | −0.983598 | − | 0.180376i | \(-0.942269\pi\) |
0.823054 | + | 0.567964i | \(0.192269\pi\) | |||||||
\(332\) | 7.16550 | − | 2.00233i | 0.393258 | − | 0.109892i | ||||
\(333\) | 1.25921 | + | 7.95035i | 0.0690044 | + | 0.435676i | ||||
\(334\) | 22.1067 | − | 12.9214i | 1.20963 | − | 0.707026i | ||||
\(335\) | 4.23712 | + | 0.333468i | 0.231498 | + | 0.0182193i | ||||
\(336\) | 4.34042 | + | 58.7536i | 0.236789 | + | 3.20527i | ||||
\(337\) | −23.4772 | − | 23.4772i | −1.27889 | − | 1.27889i | −0.941292 | − | 0.337594i | \(-0.890387\pi\) |
−0.337594 | − | 0.941292i | \(-0.609613\pi\) | |||||||
\(338\) | −8.03116 | + | 14.9820i | −0.436838 | + | 0.814912i | ||||
\(339\) | −35.0093 | + | 8.40499i | −1.90144 | + | 0.456496i | ||||
\(340\) | −0.867409 | + | 7.18104i | −0.0470419 | + | 0.389447i | ||||
\(341\) | −2.86036 | + | 3.34906i | −0.154897 | + | 0.181362i | ||||
\(342\) | −23.2964 | − | 20.7518i | −1.25973 | − | 1.12213i | ||||
\(343\) | 46.7905 | + | 11.2334i | 2.52645 | + | 0.606547i | ||||
\(344\) | 1.15359 | + | 12.1612i | 0.0621976 | + | 0.655687i | ||||
\(345\) | −1.60205 | + | 2.61430i | −0.0862513 | + | 0.140749i | ||||
\(346\) | −2.26894 | − | 16.5502i | −0.121979 | − | 0.889746i | ||||
\(347\) | 12.0943 | − | 10.3295i | 0.649254 | − | 0.554515i | −0.262664 | − | 0.964887i | \(-0.584601\pi\) |
0.911918 | + | 0.410372i | \(0.134601\pi\) | |||||||
\(348\) | 3.74301 | + | 8.17072i | 0.200646 | + | 0.437997i | ||||
\(349\) | 5.84437 | − | 11.4702i | 0.312842 | − | 0.613986i | −0.680029 | − | 0.733186i | \(-0.738033\pi\) |
0.992870 | + | 0.119199i | \(0.0380327\pi\) | |||||||
\(350\) | −25.6627 | − | 11.2618i | −1.37173 | − | 0.601968i | ||||
\(351\) | 14.4241 | − | 44.3930i | 0.769904 | − | 2.36952i | ||||
\(352\) | −4.20396 | + | 0.555799i | −0.224072 | + | 0.0296242i | ||||
\(353\) | 3.17756 | − | 1.03245i | 0.169124 | − | 0.0549518i | −0.223231 | − | 0.974766i | \(-0.571660\pi\) |
0.392355 | + | 0.919814i | \(0.371660\pi\) | |||||||
\(354\) | −4.54907 | + | 0.992378i | −0.241780 | + | 0.0527443i | ||||
\(355\) | −10.1045 | + | 4.18543i | −0.536293 | + | 0.222140i | ||||
\(356\) | −15.0254 | + | 2.95128i | −0.796347 | + | 0.156418i | ||||
\(357\) | 28.6689 | + | 46.7833i | 1.51732 | + | 2.47604i | ||||
\(358\) | 22.2912 | + | 27.2285i | 1.17813 | + | 1.43907i | ||||
\(359\) | 17.3065 | − | 12.5739i | 0.913401 | − | 0.663624i | −0.0284719 | − | 0.999595i | \(-0.509064\pi\) |
0.941873 | + | 0.335970i | \(0.109064\pi\) | |||||||
\(360\) | 8.97138 | + | 14.1264i | 0.472833 | + | 0.744526i | ||||
\(361\) | −0.922444 | + | 5.82408i | −0.0485497 | + | 0.306531i | ||||
\(362\) | −29.9433 | + | 11.6782i | −1.57378 | + | 0.613790i | ||||
\(363\) | 2.46973 | + | 31.3809i | 0.129627 | + | 1.64707i | ||||
\(364\) | −42.5717 | − | 23.9756i | −2.23136 | − | 1.25667i | ||||
\(365\) | −0.619357 | − | 0.449989i | −0.0324186 | − | 0.0235535i | ||||
\(366\) | 35.2239 | − | 2.03486i | 1.84118 | − | 0.106364i | ||||
\(367\) | −4.59295 | − | 9.01418i | −0.239750 | − | 0.470536i | 0.739509 | − | 0.673146i | \(-0.235058\pi\) |
−0.979259 | + | 0.202610i | \(0.935058\pi\) | |||||||
\(368\) | 0.958385 | + | 4.07808i | 0.0499593 | + | 0.212584i | ||||
\(369\) | 38.0328 | + | 8.73602i | 1.97991 | + | 0.454779i | ||||
\(370\) | 1.63252 | − | 0.789409i | 0.0848704 | − | 0.0410394i | ||||
\(371\) | −12.0630 | + | 6.14639i | −0.626278 | + | 0.319105i | ||||
\(372\) | 30.9595 | − | 17.2407i | 1.60517 | − | 0.893888i | ||||
\(373\) | 1.57344 | − | 2.16565i | 0.0814694 | − | 0.112133i | −0.766337 | − | 0.642439i | \(-0.777923\pi\) |
0.847807 | + | 0.530306i | \(0.177923\pi\) | |||||||
\(374\) | −3.24279 | + | 2.25433i | −0.167681 | + | 0.116568i | ||||
\(375\) | −26.4357 | + | 2.08053i | −1.36513 | + | 0.107438i | ||||
\(376\) | 7.11008 | − | 23.1387i | 0.366675 | − | 1.19329i | ||||
\(377\) | −7.36162 | − | 1.16597i | −0.379143 | − | 0.0600503i | ||||
\(378\) | 60.8710 | + | 21.1901i | 3.13086 | + | 1.08990i | ||||
\(379\) | −10.5678 | − | 14.5453i | −0.542829 | − | 0.747140i | 0.446188 | − | 0.894939i | \(-0.352781\pi\) |
−0.989017 | + | 0.147799i | \(0.952781\pi\) | |||||||
\(380\) | −2.95780 | + | 6.37569i | −0.151732 | + | 0.327066i | ||||
\(381\) | −33.5763 | + | 20.5756i | −1.72017 | + | 1.05412i | ||||
\(382\) | −3.87618 | − | 1.01644i | −0.198322 | − | 0.0520058i | ||||
\(383\) | 2.72072 | + | 6.56841i | 0.139023 | + | 0.335630i | 0.978022 | − | 0.208502i | \(-0.0668589\pi\) |
−0.838999 | + | 0.544132i | \(0.816859\pi\) | |||||||
\(384\) | 33.2634 | + | 7.59155i | 1.69746 | + | 0.387405i | ||||
\(385\) | 1.09833 | + | 3.38030i | 0.0559759 | + | 0.172276i | ||||
\(386\) | −0.862782 | + | 8.65353i | −0.0439144 | + | 0.440453i | ||||
\(387\) | 25.0330 | + | 8.13373i | 1.27250 | + | 0.413460i | ||||
\(388\) | −6.74777 | + | 0.248906i | −0.342566 | + | 0.0126363i | ||||
\(389\) | 8.62962 | + | 4.39701i | 0.437539 | + | 0.222937i | 0.658863 | − | 0.752263i | \(-0.271038\pi\) |
−0.221324 | + | 0.975200i | \(0.571038\pi\) | |||||||
\(390\) | −20.7055 | − | 0.431454i | −1.04846 | − | 0.0218475i | ||||
\(391\) | 2.53386 | + | 2.96677i | 0.128143 | + | 0.150036i | ||||
\(392\) | 24.2509 | − | 41.0367i | 1.22486 | − | 2.07267i | ||||
\(393\) | −24.0691 | − | 14.7496i | −1.21413 | − | 0.744018i | ||||
\(394\) | 24.8828 | − | 23.8670i | 1.25358 | − | 1.20240i | ||||
\(395\) | 0.490161 | − | 2.04167i | 0.0246627 | − | 0.102728i | ||||
\(396\) | −2.50127 | + | 8.78806i | −0.125693 | + | 0.441616i | ||||
\(397\) | 2.89283 | + | 2.47071i | 0.145187 | + | 0.124001i | 0.719075 | − | 0.694932i | \(-0.244566\pi\) |
−0.573888 | + | 0.818934i | \(0.694566\pi\) | |||||||
\(398\) | 2.05851 | − | 3.20723i | 0.103184 | − | 0.160764i | ||||
\(399\) | 12.4461 | + | 51.8416i | 0.623083 | + | 2.59533i | ||||
\(400\) | −10.5997 | + | 12.2908i | −0.529986 | + | 0.614538i | ||||
\(401\) | 19.2638 | − | 19.2638i | 0.961986 | − | 0.961986i | −0.0373172 | − | 0.999303i | \(-0.511881\pi\) |
0.999303 | + | 0.0373172i | \(0.0118812\pi\) | |||||||
\(402\) | −5.39862 | − | 17.8740i | −0.269258 | − | 0.891475i | ||||
\(403\) | −2.30578 | + | 29.2977i | −0.114859 | + | 1.45942i | ||||
\(404\) | −13.7847 | + | 20.5235i | −0.685815 | + | 1.02108i | ||||
\(405\) | 9.45295 | − | 1.49720i | 0.469721 | − | 0.0743965i | ||||
\(406\) | 1.82143 | − | 10.1294i | 0.0903958 | − | 0.502714i | ||||
\(407\) | 0.914737 | + | 0.378897i | 0.0453419 | + | 0.0187812i | ||||
\(408\) | 30.7752 | − | 7.91249i | 1.52360 | − | 0.391727i | ||||
\(409\) | − | 26.9175i | − | 1.33099i | −0.746404 | − | 0.665493i | \(-0.768222\pi\) | ||
0.746404 | − | 0.665493i | \(-0.231778\pi\) | |||||||
\(410\) | −0.593333 | − | 8.77101i | −0.0293026 | − | 0.433169i | ||||
\(411\) | 49.9793i | 2.46530i | ||||||||
\(412\) | −1.59716 | + | 7.92999i | −0.0786865 | + | 0.390682i | ||||
\(413\) | 4.92607 | + | 2.04044i | 0.242396 | + | 0.100404i | ||||
\(414\) | 8.88393 | + | 1.59747i | 0.436621 | + | 0.0785113i | ||||
\(415\) | −3.56695 | + | 0.564949i | −0.175095 | + | 0.0277323i | ||||
\(416\) | −20.5142 | + | 19.4886i | −1.00579 | + | 0.955507i | ||||
\(417\) | 3.76686 | − | 47.8624i | 0.184464 | − | 2.34383i | ||||
\(418\) | −3.67362 | + | 1.10957i | −0.179683 | + | 0.0542708i | ||||
\(419\) | 21.6421 | − | 21.6421i | 1.05729 | − | 1.05729i | 0.0590310 | − | 0.998256i | \(-0.481199\pi\) |
0.998256 | − | 0.0590310i | \(-0.0188011\pi\) | |||||||
\(420\) | 1.19127 | − | 28.5722i | 0.0581281 | − | 1.39418i | ||||
\(421\) | −1.80927 | − | 7.53617i | −0.0881786 | − | 0.367290i | 0.910781 | − | 0.412889i | \(-0.135480\pi\) |
−0.998960 | + | 0.0455989i | \(0.985480\pi\) | |||||||
\(422\) | −3.51047 | − | 2.25314i | −0.170887 | − | 0.109681i | ||||
\(423\) | −39.6609 | − | 33.8736i | −1.92838 | − | 1.64699i | ||||
\(424\) | 1.35056 | + | 7.72340i | 0.0655890 | + | 0.375082i | ||||
\(425\) | −3.52871 | + | 14.6981i | −0.171168 | + | 0.712964i | ||||
\(426\) | 33.2594 | + | 34.6750i | 1.61142 | + | 1.68001i | ||||
\(427\) | −34.4503 | − | 21.1112i | −1.66717 | − | 1.02164i | ||||
\(428\) | −9.54319 | + | 6.34349i | −0.461288 | + | 0.306624i | ||||
\(429\) | −7.34381 | − | 8.59849i | −0.354562 | − | 0.415139i | ||||
\(430\) | 0.123532 | − | 5.92830i | 0.00595724 | − | 0.285888i | ||||
\(431\) | 2.35678 | + | 1.20084i | 0.113522 | + | 0.0578425i | 0.509830 | − | 0.860275i | \(-0.329708\pi\) |
−0.396307 | + | 0.918118i | \(0.629708\pi\) | |||||||
\(432\) | 22.0850 | − | 30.0926i | 1.06256 | − | 1.44783i | ||||
\(433\) | −5.67072 | − | 1.84253i | −0.272518 | − | 0.0885463i | 0.169570 | − | 0.985518i | \(-0.445762\pi\) |
−0.442088 | + | 0.896972i | \(0.645762\pi\) | |||||||
\(434\) | −40.3801 | − | 4.02601i | −1.93831 | − | 0.193255i | ||||
\(435\) | −1.34807 | − | 4.14894i | −0.0646352 | − | 0.198927i | ||||
\(436\) | 16.7960 | − | 13.1757i | 0.804383 | − | 0.631001i | ||||
\(437\) | 1.45077 | + | 3.50247i | 0.0693998 | + | 0.167546i | ||||
\(438\) | −0.853081 | + | 3.25320i | −0.0407618 | + | 0.155444i | ||||
\(439\) | 8.55027 | − | 5.23961i | 0.408082 | − | 0.250073i | −0.303276 | − | 0.952903i | \(-0.598080\pi\) |
0.711358 | + | 0.702830i | \(0.248080\pi\) | |||||||
\(440\) | 2.05811 | − | 0.0330064i | 0.0981167 | − | 0.00157352i | ||||
\(441\) | −60.3699 | − | 83.0921i | −2.87476 | − | 3.95677i | ||||
\(442\) | −8.66385 | + | 24.8879i | −0.412097 | + | 1.18380i | ||||
\(443\) | 0.676241 | + | 0.107106i | 0.0321292 | + | 0.00508876i | 0.172478 | − | 0.985013i | \(-0.444823\pi\) |
−0.140349 | + | 0.990102i | \(0.544823\pi\) | |||||||
\(444\) | −5.83678 | − | 5.42149i | −0.277001 | − | 0.257293i | ||||
\(445\) | 7.40986 | − | 0.583169i | 0.351261 | − | 0.0276449i | ||||
\(446\) | 11.8344 | + | 17.0234i | 0.560373 | + | 0.806083i | ||||
\(447\) | −4.23031 | + | 5.82253i | −0.200087 | + | 0.275396i | ||||
\(448\) | −26.3145 | − | 28.8812i | −1.24324 | − | 1.36451i | ||||
\(449\) | −21.3824 | + | 10.8949i | −1.00910 | + | 0.514162i | −0.878738 | − | 0.477305i | \(-0.841614\pi\) |
−0.130362 | + | 0.991467i | \(0.541614\pi\) | |||||||
\(450\) | 15.2239 | + | 31.4834i | 0.717662 | + | 1.48414i | ||||
\(451\) | 3.36053 | − | 3.42732i | 0.158241 | − | 0.161386i | ||||
\(452\) | 14.8276 | − | 18.7161i | 0.697430 | − | 0.880333i | ||||
\(453\) | −2.35765 | − | 4.62715i | −0.110772 | − | 0.217402i | ||||
\(454\) | −0.178371 | − | 3.08765i | −0.00837137 | − | 0.144910i | ||||
\(455\) | 19.1869 | + | 13.9401i | 0.899494 | + | 0.653521i | ||||
\(456\) | 30.8158 | + | 1.92862i | 1.44308 | + | 0.0903161i | ||||
\(457\) | 1.86349 | + | 23.6779i | 0.0871706 | + | 1.10761i | 0.872528 | + | 0.488565i | \(0.162479\pi\) |
−0.785357 | + | 0.619043i | \(0.787521\pi\) | |||||||
\(458\) | 4.55643 | + | 11.6829i | 0.212908 | + | 0.545904i | ||||
\(459\) | 5.43833 | − | 34.3363i | 0.253840 | − | 1.60268i | ||||
\(460\) | −0.234160 | − | 2.01992i | −0.0109178 | − | 0.0941792i | ||||
\(461\) | −16.6100 | + | 12.0678i | −0.773603 | + | 0.562056i | −0.903052 | − | 0.429530i | \(-0.858679\pi\) |
0.129449 | + | 0.991586i | \(0.458679\pi\) | |||||||
\(462\) | 12.0818 | − | 9.89101i | 0.562094 | − | 0.460171i | ||||
\(463\) | 8.50704 | + | 13.8822i | 0.395356 | + | 0.645162i | 0.986941 | − | 0.161080i | \(-0.0514978\pi\) |
−0.591585 | + | 0.806242i | \(0.701498\pi\) | |||||||
\(464\) | −5.29764 | − | 2.73138i | −0.245937 | − | 0.126801i | ||||
\(465\) | −15.8916 | + | 6.58251i | −0.736955 | + | 0.305257i | ||||
\(466\) | −1.68059 | − | 7.70383i | −0.0778517 | − | 0.356873i | ||||
\(467\) | −26.2870 | + | 8.54115i | −1.21642 | + | 0.395237i | −0.845775 | − | 0.533539i | \(-0.820862\pi\) |
−0.370640 | + | 0.928776i | \(0.620862\pi\) | |||||||
\(468\) | 20.9649 | + | 57.2505i | 0.969103 | + | 2.64640i | ||||
\(469\) | −6.60737 | + | 20.3354i | −0.305100 | + | 0.939002i | ||||
\(470\) | −4.72168 | + | 10.7595i | −0.217795 | + | 0.496298i | ||||
\(471\) | 26.1311 | − | 51.2851i | 1.20406 | − | 2.36309i | ||||
\(472\) | 1.96751 | − | 2.37990i | 0.0905620 | − | 0.109544i | ||||
\(473\) | 2.46188 | − | 2.10265i | 0.113198 | − | 0.0966798i | ||||
\(474\) | −9.13858 | + | 1.25285i | −0.419749 | + | 0.0575452i | ||||
\(475\) | −7.67428 | + | 12.5233i | −0.352120 | + | 0.574608i | ||||
\(476\) | −34.1094 | − | 12.6767i | −1.56340 | − | 0.581034i | ||||
\(477\) | 16.4273 | + | 3.94385i | 0.752156 | + | 0.180577i | ||||
\(478\) | 1.00858 | − | 1.13225i | 0.0461312 | − | 0.0517879i | ||||
\(479\) | 17.7710 | − | 20.8072i | 0.811977 | − | 0.950703i | −0.187525 | − | 0.982260i | \(-0.560046\pi\) |
0.999502 | + | 0.0315565i | \(0.0100464\pi\) | |||||||
\(480\) | −15.6144 | − | 5.51976i | −0.712699 | − | 0.251942i | ||||
\(481\) | 6.42406 | − | 1.54228i | 0.292912 | − | 0.0703220i | ||||
\(482\) | 4.21799 | + | 2.26107i | 0.192124 | + | 0.102989i | ||||
\(483\) | −10.9071 | − | 10.9071i | −0.496291 | − | 0.496291i | ||||
\(484\) | −14.1339 | − | 15.3638i | −0.642450 | − | 0.698353i | ||||
\(485\) | 3.26752 | + | 0.257159i | 0.148370 | + | 0.0116770i | ||||
\(486\) | −1.23822 | − | 2.11843i | −0.0561668 | − | 0.0960938i | ||||
\(487\) | 5.33980 | + | 33.7142i | 0.241969 | + | 1.52773i | 0.747112 | + | 0.664699i | \(0.231440\pi\) |
−0.505142 | + | 0.863036i | \(0.668560\pi\) | |||||||
\(488\) | −17.5470 | + | 15.4800i | −0.794316 | + | 0.700747i | ||||
\(489\) | −9.14997 | + | 22.0900i | −0.413776 | + | 0.998944i | ||||
\(490\) | −13.9870 | + | 18.4314i | −0.631868 | + | 0.832644i | ||||
\(491\) | 1.69395 | 0.0764470 | 0.0382235 | − | 0.999269i | \(-0.487830\pi\) | ||||
0.0382235 | + | 0.999269i | \(0.487830\pi\) | |||||||
\(492\) | −34.9510 | + | 16.4290i | −1.57571 | + | 0.740676i | ||||
\(493\) | −5.55110 | −0.250009 | ||||||||
\(494\) | −15.4794 | + | 20.3980i | −0.696451 | + | 0.917749i | ||||
\(495\) | 1.69727 | − | 4.09757i | 0.0762866 | − | 0.184172i | ||||
\(496\) | −9.09763 | + | 21.6689i | −0.408495 | + | 0.972963i | ||||
\(497\) | −8.60733 | − | 54.3445i | −0.386092 | − | 2.43769i | ||||
\(498\) | 8.00592 | + | 13.6971i | 0.358754 | + | 0.613780i | ||||
\(499\) | 13.2898 | + | 1.04593i | 0.594934 | + | 0.0468223i | 0.372352 | − | 0.928092i | \(-0.378551\pi\) |
0.222582 | + | 0.974914i | \(0.428551\pi\) | |||||||
\(500\) | 12.9426 | − | 11.9066i | 0.578811 | − | 0.532477i | ||||
\(501\) | 38.6100 | + | 38.6100i | 1.72497 | + | 1.72497i | ||||
\(502\) | 20.7484 | + | 11.1223i | 0.926047 | + | 0.496412i | ||||
\(503\) | 21.0242 | − | 5.04746i | 0.937422 | − | 0.225055i | 0.264177 | − | 0.964474i | \(-0.414900\pi\) |
0.673246 | + | 0.739419i | \(0.264900\pi\) | |||||||
\(504\) | −79.6392 | + | 27.2958i | −3.54741 | + | 1.21585i | ||||
\(505\) | 7.79385 | − | 9.12542i | 0.346822 | − | 0.406076i | ||||
\(506\) | 0.738497 | − | 0.829053i | 0.0328302 | − | 0.0368559i | ||||
\(507\) | −35.2470 | − | 8.46205i | −1.56537 | − | 0.375813i | ||||
\(508\) | 9.09803 | − | 24.4802i | 0.403660 | − | 1.08613i | ||||
\(509\) | 0.831786 | − | 1.35735i | 0.0368683 | − | 0.0601635i | −0.833675 | − | 0.552255i | \(-0.813767\pi\) |
0.870543 | + | 0.492092i | \(0.163767\pi\) | |||||||
\(510\) | −15.2813 | + | 2.09499i | −0.676669 | + | 0.0927675i | ||||
\(511\) | 2.92863 | − | 2.50128i | 0.129555 | − | 0.110650i | ||||
\(512\) | −20.4644 | + | 9.65442i | −0.904408 | + | 0.426669i | ||||
\(513\) | 15.3356 | − | 30.0979i | 0.677085 | − | 1.32885i | ||||
\(514\) | 9.22679 | − | 21.0255i | 0.406976 | − | 0.927394i | ||||
\(515\) | 1.21337 | − | 3.73437i | 0.0534675 | − | 0.164556i | ||||
\(516\) | −24.4606 | + | 8.95738i | −1.07682 | + | 0.394327i | ||||
\(517\) | −6.10152 | + | 1.98251i | −0.268345 | + | 0.0871905i | ||||
\(518\) | 1.94437 | + | 8.91299i | 0.0854306 | + | 0.391614i | ||||
\(519\) | 32.9105 | − | 13.6320i | 1.44461 | − | 0.598378i | ||||
\(520\) | 10.9808 | − | 8.25025i | 0.481540 | − | 0.361797i | ||||
\(521\) | −5.95302 | − | 9.71444i | −0.260806 | − | 0.425597i | 0.695255 | − | 0.718763i | \(-0.255291\pi\) |
−0.956062 | + | 0.293165i | \(0.905291\pi\) | |||||||
\(522\) | −9.93731 | + | 8.13541i | −0.434944 | + | 0.356077i | ||||
\(523\) | 31.4946 | − | 22.8822i | 1.37716 | − | 1.00057i | 0.380025 | − | 0.924976i | \(-0.375915\pi\) |
0.997139 | − | 0.0755919i | \(-0.0240846\pi\) | |||||||
\(524\) | 18.5968 | − | 2.15584i | 0.812406 | − | 0.0941785i | ||||
\(525\) | 9.34868 | − | 59.0253i | 0.408010 | − | 2.57607i | ||||
\(526\) | 0.762685 | + | 1.95555i | 0.0332546 | + | 0.0852662i | ||||
\(527\) | 1.71729 | + | 21.8202i | 0.0748062 | + | 0.950503i | ||||
\(528\) | −3.42032 | − | 8.37078i | −0.148850 | − | 0.364292i | ||||
\(529\) | 17.7200 | + | 12.8744i | 0.770437 | + | 0.559755i | ||||
\(530\) | −0.219496 | − | 3.79953i | −0.00953430 | − | 0.165041i | ||||
\(531\) | −3.02061 | − | 5.92827i | −0.131083 | − | 0.257265i | ||||
\(532\) | −27.7148 | − | 21.9566i | −1.20159 | − | 0.951939i | ||||
\(533\) | 4.69886 | − | 31.6818i | 0.203530 | − | 1.37229i | ||||
\(534\) | −14.2147 | − | 29.3963i | −0.615130 | − | 1.27210i | ||||
\(535\) | 4.95607 | − | 2.52525i | 0.214270 | − | 0.109176i | ||||
\(536\) | 10.1334 | + | 7.11691i | 0.437696 | + | 0.307404i | ||||
\(537\) | −44.1065 | + | 60.7073i | −1.90333 | + | 2.61972i | ||||
\(538\) | −19.1145 | − | 27.4957i | −0.824083 | − | 1.18542i | ||||
\(539\) | −12.5944 | + | 0.991197i | −0.542477 | + | 0.0426939i | ||||
\(540\) | −12.3309 | + | 13.2755i | −0.530638 | + | 0.571285i | ||||
\(541\) | −2.67898 | − | 0.424309i | −0.115179 | − | 0.0182425i | 0.0985790 | − | 0.995129i | \(-0.468570\pi\) |
−0.213758 | + | 0.976887i | \(0.568570\pi\) | |||||||
\(542\) | 8.21153 | − | 23.5886i | 0.352715 | − | 1.01322i | ||||
\(543\) | −40.2843 | − | 55.4466i | −1.72877 | − | 2.37944i | ||||
\(544\) | −12.8198 | + | 16.7260i | −0.549645 | + | 0.717122i | ||||
\(545\) | −8.83510 | + | 5.41415i | −0.378454 | + | 0.231917i | ||||
\(546\) | 26.4273 | − | 100.780i | 1.13099 | − | 4.31298i | ||||
\(547\) | −4.14186 | − | 9.99934i | −0.177093 | − | 0.427541i | 0.810261 | − | 0.586069i | \(-0.199325\pi\) |
−0.987354 | + | 0.158528i | \(0.949325\pi\) | |||||||
\(548\) | −20.4581 | − | 26.0794i | −0.873926 | − | 1.11406i | ||||
\(549\) | 15.5802 | + | 47.9508i | 0.664945 | + | 2.04649i | ||||
\(550\) | 4.28031 | + | 0.426759i | 0.182513 | + | 0.0181971i | ||||
\(551\) | −5.12988 | − | 1.66680i | −0.218540 | − | 0.0710080i | ||||
\(552\) | −7.89337 | + | 4.18264i | −0.335964 | + | 0.178025i | ||||
\(553\) | 9.41174 | + | 4.79552i | 0.400228 | + | 0.203926i | ||||
\(554\) | 0.400506 | − | 19.2203i | 0.0170158 | − | 0.816591i | ||||
\(555\) | 2.51131 | + | 2.94037i | 0.106599 | + | 0.124812i | ||||
\(556\) | 17.6260 | + | 26.5167i | 0.747509 | + | 1.12456i | ||||
\(557\) | −34.1364 | − | 20.9188i | −1.44640 | − | 0.886358i | −0.446440 | − | 0.894814i | \(-0.647308\pi\) |
−0.999964 | + | 0.00845575i | \(0.997308\pi\) | |||||||
\(558\) | 35.0528 | + | 36.5447i | 1.48390 | + | 1.54706i | ||||
\(559\) | 5.04318 | − | 21.0064i | 0.213304 | − | 0.888474i | ||||
\(560\) | 11.0739 | + | 15.3967i | 0.467956 | + | 0.650629i | ||||
\(561\) | −6.40395 | − | 5.46949i | −0.270375 | − | 0.230922i | ||||
\(562\) | 37.2695 | + | 23.9208i | 1.57212 | + | 1.00904i | ||||
\(563\) | −1.05924 | − | 4.41205i | −0.0446416 | − | 0.185946i | 0.945594 | − | 0.325349i | \(-0.105482\pi\) |
−0.990236 | + | 0.139403i | \(0.955482\pi\) | |||||||
\(564\) | 51.5734 | + | 2.15027i | 2.17163 | + | 0.0905429i | ||||
\(565\) | −8.19565 | + | 8.19565i | −0.344794 | + | 0.344794i | ||||
\(566\) | −42.6384 | + | 12.8784i | −1.79223 | + | 0.541319i | ||||
\(567\) | −3.77769 | + | 48.0001i | −0.158648 | + | 2.01581i | ||||
\(568\) | −31.5484 | − | 4.47945i | −1.32374 | − | 0.187954i | ||||
\(569\) | 7.49301 | − | 1.18678i | 0.314123 | − | 0.0497522i | 0.00261772 | − | 0.999997i | \(-0.499167\pi\) |
0.311506 | + | 0.950244i | \(0.399167\pi\) | |||||||
\(570\) | −14.7508 | − | 2.65243i | −0.617845 | − | 0.111098i | ||||
\(571\) | 28.0604 | + | 11.6230i | 1.17429 | + | 0.486408i | 0.882610 | − | 0.470107i | \(-0.155785\pi\) |
0.291684 | + | 0.956515i | \(0.405785\pi\) | |||||||
\(572\) | 7.35165 | + | 1.48068i | 0.307388 | + | 0.0619104i | ||||
\(573\) | − | 8.54509i | − | 0.356976i | ||||||
\(574\) | 43.6026 | + | 7.39832i | 1.81994 | + | 0.308800i | ||||
\(575\) | − | 4.24943i | − | 0.177213i | ||||||
\(576\) | 1.56339 | + | 48.7302i | 0.0651414 | + | 2.03042i | ||||
\(577\) | 24.9104 | + | 10.3182i | 1.03703 | + | 0.429553i | 0.835246 | − | 0.549877i | \(-0.185325\pi\) |
0.201786 | + | 0.979430i | \(0.435325\pi\) | |||||||
\(578\) | 0.781298 | − | 4.34499i | 0.0324977 | − | 0.180728i | ||||
\(579\) | −18.3161 | + | 2.90099i | −0.761192 | + | 0.120561i | ||||
\(580\) | 2.40172 | + | 1.61313i | 0.0997259 | + | 0.0669814i | ||||
\(581\) | 1.42546 | − | 18.1122i | 0.0591381 | − | 0.751421i | ||||
\(582\) | −4.16323 | − | 13.7838i | −0.172571 | − | 0.571358i | ||||
\(583\) | 1.46938 | − | 1.46938i | 0.0608557 | − | 0.0608557i | ||||
\(584\) | −0.886493 | − | 2.04672i | −0.0366834 | − | 0.0846940i | ||||
\(585\) | −6.90866 | − | 28.7766i | −0.285638 | − | 1.18977i | ||||
\(586\) | −6.21402 | + | 9.68166i | −0.256699 | + | 0.399946i | ||||
\(587\) | 33.8267 | + | 28.8907i | 1.39618 | + | 1.19245i | 0.955577 | + | 0.294742i | \(0.0952338\pi\) |
0.440599 | + | 0.897704i | \(0.354766\pi\) | |||||||
\(588\) | 97.7627 | + | 27.8253i | 4.03166 | + | 1.14750i | ||||
\(589\) | −4.96486 | + | 20.6801i | −0.204573 | + | 0.852109i | ||||
\(590\) | −1.08171 | + | 1.03755i | −0.0445334 | + | 0.0427154i | ||||
\(591\) | 62.6887 | + | 38.4157i | 2.57867 | + | 1.58021i | ||||
\(592\) | 5.26484 | + | 0.439783i | 0.216384 | + | 0.0180750i | ||||
\(593\) | 22.3077 | + | 26.1189i | 0.916066 | + | 1.07258i | 0.997118 | + | 0.0758657i | \(0.0241720\pi\) |
−0.0810519 | + | 0.996710i | \(0.525828\pi\) | |||||||
\(594\) | −9.89080 | − | 0.206101i | −0.405824 | − | 0.00845644i | ||||
\(595\) | 15.7381 | + | 8.01897i | 0.645200 | + | 0.328746i | ||||
\(596\) | −0.175945 | − | 4.76982i | −0.00720700 | − | 0.195379i | ||||
\(597\) | 7.72890 | + | 2.51127i | 0.316323 | + | 0.102780i | ||||
\(598\) | 0.734999 | − | 7.37190i | 0.0300564 | − | 0.301459i | ||||
\(599\) | −9.51168 | − | 29.2739i | −0.388637 | − | 1.19610i | −0.933807 | − | 0.357776i | \(-0.883535\pi\) |
0.545171 | − | 0.838325i | \(-0.316465\pi\) | |||||||
\(600\) | −31.0852 | − | 15.2158i | −1.26905 | − | 0.621184i | ||||
\(601\) | −9.73186 | − | 23.4948i | −0.396971 | − | 0.958373i | −0.988380 | − | 0.152001i | \(-0.951428\pi\) |
0.591409 | − | 0.806372i | \(-0.298572\pi\) | |||||||
\(602\) | 28.8549 | + | 7.56656i | 1.17604 | + | 0.308390i | ||||
\(603\) | 22.7496 | − | 13.9410i | 0.926437 | − | 0.567721i | ||||
\(604\) | 3.12426 | + | 1.44940i | 0.127124 | + | 0.0589754i | ||||
\(605\) | 5.95624 | + | 8.19806i | 0.242156 | + | 0.333299i | ||||
\(606\) | −49.7894 | − | 17.3324i | −2.02256 | − | 0.704081i | ||||
\(607\) | −20.4092 | − | 3.23250i | −0.828383 | − | 0.131203i | −0.272177 | − | 0.962247i | \(-0.587744\pi\) |
−0.556206 | + | 0.831044i | \(0.687744\pi\) | |||||||
\(608\) | −16.8693 | + | 11.6075i | −0.684139 | + | 0.470746i | ||||
\(609\) | 21.8789 | − | 1.72191i | 0.886578 | − | 0.0697752i | ||||
\(610\) | 9.32602 | − | 6.48327i | 0.377600 | − | 0.262500i | ||||
\(611\) | −25.1622 | + | 34.6327i | −1.01795 | + | 1.40109i | ||||
\(612\) | 22.0921 | + | 39.6712i | 0.893019 | + | 1.60361i | ||||
\(613\) | 5.62915 | − | 2.86819i | 0.227359 | − | 0.115845i | −0.336601 | − | 0.941647i | \(-0.609277\pi\) |
0.563960 | + | 0.825802i | \(0.309277\pi\) | |||||||
\(614\) | 23.7020 | − | 11.4612i | 0.956536 | − | 0.462537i | ||||
\(615\) | 17.7708 | − | 5.96802i | 0.716589 | − | 0.240654i | ||||
\(616\) | −2.25561 | + | 10.1066i | −0.0908812 | + | 0.407206i | ||||
\(617\) | −3.44385 | − | 6.75894i | −0.138644 | − | 0.272105i | 0.811236 | − | 0.584719i | \(-0.198795\pi\) |
−0.949880 | + | 0.312614i | \(0.898795\pi\) | |||||||
\(618\) | −17.2209 | + | 0.994839i | −0.692726 | + | 0.0400183i | ||||
\(619\) | −26.2843 | − | 19.0967i | −1.05646 | − | 0.767560i | −0.0830267 | − | 0.996547i | \(-0.526459\pi\) |
−0.973429 | + | 0.228987i | \(0.926459\pi\) | |||||||
\(620\) | 5.59787 | − | 9.93969i | 0.224816 | − | 0.399188i | ||||
\(621\) | 0.766790 | + | 9.74299i | 0.0307702 | + | 0.390973i | ||||
\(622\) | −34.1490 | + | 13.3184i | −1.36925 | + | 0.534021i | ||||
\(623\) | −5.84950 | + | 36.9323i | −0.234355 | + | 1.47966i | ||||
\(624\) | −51.2947 | − | 31.7730i | −2.05343 | − | 1.27194i | ||||
\(625\) | 9.50691 | − | 6.90718i | 0.380276 | − | 0.276287i | ||||
\(626\) | 19.5913 | + | 23.9305i | 0.783025 | + | 0.956457i | ||||
\(627\) | −4.27572 | − | 6.97734i | −0.170756 | − | 0.278648i | ||||
\(628\) | 7.35728 | + | 37.4570i | 0.293587 | + | 1.49470i | ||||
\(629\) | 4.54589 | − | 1.88297i | 0.181257 | − | 0.0750790i | ||||
\(630\) | 39.9258 | − | 8.70981i | 1.59068 | − | 0.347007i | ||||
\(631\) | −30.4282 | + | 9.88672i | −1.21133 | + | 0.393584i | −0.843917 | − | 0.536474i | \(-0.819756\pi\) |
−0.367411 | + | 0.930059i | \(0.619756\pi\) | |||||||
\(632\) | 4.25572 | − | 4.39444i | 0.169283 | − | 0.174801i | ||||
\(633\) | 2.74871 | − | 8.45967i | 0.109252 | − | 0.336242i | ||||
\(634\) | 3.44330 | + | 1.51105i | 0.136751 | + | 0.0600116i | ||||
\(635\) | −5.75520 | + | 11.2952i | −0.228388 | + | 0.448237i | ||||
\(636\) | −15.2004 | + | 6.96330i | −0.602734 | + | 0.276113i | ||||
\(637\) | −64.1002 | + | 54.7468i | −2.53974 | + | 2.16915i | ||||
\(638\) | 0.214559 | + | 1.56505i | 0.00849448 | + | 0.0619609i | ||||
\(639\) | −35.8743 | + | 58.5415i | −1.41917 | + | 2.31587i | ||||
\(640\) | 10.4071 | − | 3.51124i | 0.411376 | − | 0.138794i | ||||
\(641\) | 44.7760 | + | 10.7498i | 1.76855 | + | 0.424591i | 0.981368 | − | 0.192135i | \(-0.0615412\pi\) |
0.787178 | + | 0.616726i | \(0.211541\pi\) | |||||||
\(642\) | −18.2464 | − | 16.2534i | −0.720129 | − | 0.641470i | ||||
\(643\) | −8.13160 | + | 9.52088i | −0.320679 | + | 0.375467i | −0.897207 | − | 0.441611i | \(-0.854407\pi\) |
0.576528 | + | 0.817078i | \(0.304407\pi\) | |||||||
\(644\) | 10.1560 | + | 1.22676i | 0.400202 | + | 0.0483410i | ||||
\(645\) | 12.2950 | − | 2.95177i | 0.484115 | − | 0.116226i | ||||
\(646\) | −9.01020 | + | 16.8084i | −0.354502 | + | 0.661316i | ||||
\(647\) | 28.3170 | + | 28.3170i | 1.11326 | + | 1.11326i | 0.992707 | + | 0.120549i | \(0.0384655\pi\) |
0.120549 | + | 0.992707i | \(0.461535\pi\) | |||||||
\(648\) | 25.9295 | + | 10.2564i | 1.01861 | + | 0.402908i | ||||
\(649\) | −0.815871 | − | 0.0642104i | −0.0320257 | − | 0.00252048i | ||||
\(650\) | 24.7800 | − | 14.4839i | 0.971953 | − | 0.568106i | ||||
\(651\) | −13.5369 | − | 85.4687i | −0.530553 | − | 3.34978i | ||||
\(652\) | −4.26762 | − | 15.2720i | −0.167133 | − | 0.598098i | ||||
\(653\) | 16.1360 | − | 38.9556i | 0.631449 | − | 1.52445i | −0.206354 | − | 0.978478i | \(-0.566160\pi\) |
0.837802 | − | 0.545974i | \(-0.183840\pi\) | |||||||
\(654\) | 36.2620 | + | 27.5181i | 1.41796 | + | 1.07604i | ||||
\(655\) | −9.08743 | −0.355075 | ||||||||
\(656\) | 11.5127 | − | 22.8792i | 0.449494 | − | 0.893283i | ||||
\(657\) | −4.80597 | −0.187499 | ||||||||
\(658\) | −47.0878 | − | 35.7335i | −1.83567 | − | 1.39304i | ||||
\(659\) | −1.13582 | + | 2.74212i | −0.0442453 | + | 0.106818i | −0.944457 | − | 0.328635i | \(-0.893412\pi\) |
0.900212 | + | 0.435452i | \(0.143412\pi\) | |||||||
\(660\) | 1.18130 | + | 4.22737i | 0.0459820 | + | 0.164550i | ||||
\(661\) | 4.40183 | + | 27.7921i | 0.171211 | + | 1.08099i | 0.912283 | + | 0.409561i | \(0.134318\pi\) |
−0.741071 | + | 0.671426i | \(0.765682\pi\) | |||||||
\(662\) | 9.31892 | − | 5.44690i | 0.362190 | − | 0.211700i | ||||
\(663\) | −56.0220 | − | 4.40903i | −2.17571 | − | 0.171232i | ||||
\(664\) | −9.78415 | − | 3.87011i | −0.379699 | − | 0.150189i | ||||
\(665\) | 12.1361 | + | 12.1361i | 0.470617 | + | 0.470617i | ||||
\(666\) | 5.37825 | − | 10.0330i | 0.208403 | − | 0.388772i | ||||
\(667\) | 1.51744 | − | 0.364304i | 0.0587553 | − | 0.0141059i | ||||
\(668\) | −35.9511 | − | 4.34259i | −1.39099 | − | 0.168020i | ||||
\(669\) | −28.7128 | + | 33.6183i | −1.11010 | + | 1.29976i | ||||
\(670\) | −4.48827 | − | 3.99802i | −0.173397 | − | 0.154457i | ||||
\(671\) | 6.03026 | + | 1.44774i | 0.232796 | + | 0.0558893i | ||||
\(672\) | 45.3393 | − | 69.8999i | 1.74900 | − | 2.69645i | ||||
\(673\) | −8.56279 | + | 13.9732i | −0.330071 | + | 0.538627i | −0.974026 | − | 0.226436i | \(-0.927292\pi\) |
0.643955 | + | 0.765064i | \(0.277292\pi\) | |||||||
\(674\) | 6.37753 | + | 46.5193i | 0.245653 | + | 1.79186i | ||||
\(675\) | −28.7920 | + | 24.5907i | −1.10820 | + | 0.946496i | ||||
\(676\) | 21.8558 | − | 10.0121i | 0.840607 | − | 0.385082i | ||||
\(677\) | 9.33719 | − | 18.3253i | 0.358858 | − | 0.704298i | −0.639036 | − | 0.769177i | \(-0.720666\pi\) |
0.997893 | + | 0.0648796i | \(0.0206663\pi\) | |||||||
\(678\) | 46.6255 | + | 20.4611i | 1.79064 | + | 0.785803i | ||||
\(679\) | −5.09538 | + | 15.6820i | −0.195543 | + | 0.601819i | ||||
\(680\) | 7.11632 | − | 7.34830i | 0.272899 | − | 0.281794i | ||||
\(681\) | 6.27234 | − | 2.03801i | 0.240357 | − | 0.0780966i | ||||
\(682\) | 6.08550 | − | 1.32755i | 0.233026 | − | 0.0508346i | ||||
\(683\) | 5.65966 | − | 2.34431i | 0.216561 | − | 0.0897024i | −0.271766 | − | 0.962363i | \(-0.587608\pi\) |
0.488326 | + | 0.872661i | \(0.337608\pi\) | |||||||
\(684\) | 8.50386 | + | 43.2944i | 0.325153 | + | 1.65540i | ||||
\(685\) | 8.40664 | + | 13.7184i | 0.321201 | + | 0.524153i | ||||
\(686\) | −43.1086 | − | 52.6567i | −1.64590 | − | 2.01044i | ||||
\(687\) | −21.6334 | + | 15.7176i | −0.825367 | + | 0.599664i | ||||
\(688\) | 9.09711 | − | 14.6865i | 0.346824 | − | 0.559917i | ||||
\(689\) | 2.16910 | − | 13.6952i | 0.0826362 | − | 0.521745i | ||||
\(690\) | 4.03979 | − | 1.57556i | 0.153792 | − | 0.0599804i | ||||
\(691\) | 0.690133 | + | 8.76897i | 0.0262539 | + | 0.333587i | 0.995992 | + | 0.0894405i | \(0.0285079\pi\) |
−0.969738 | + | 0.244147i | \(0.921492\pi\) | |||||||
\(692\) | −11.5929 | + | 20.5845i | −0.440694 | + | 0.782506i | ||||
\(693\) | 18.0511 | + | 13.1149i | 0.685706 | + | 0.498194i | ||||
\(694\) | −22.4556 | + | 1.29725i | −0.852404 | + | 0.0492428i | ||||
\(695\) | −7.01664 | − | 13.7709i | −0.266156 | − | 0.522361i | ||||
\(696\) | 2.76851 | − | 12.4047i | 0.104940 | − | 0.470199i | ||||
\(697\) | −0.234696 | − | 23.8528i | −0.00888973 | − | 0.903490i | ||||
\(698\) | −16.3900 | + | 7.92545i | −0.620371 | + | 0.299983i | ||||
\(699\) | 14.9815 | − | 7.63345i | 0.566652 | − | 0.288724i | ||||
\(700\) | 19.2827 | + | 34.6263i | 0.728816 | + | 1.30875i | ||||
\(701\) | −2.49789 | + | 3.43805i | −0.0943441 | + | 0.129853i | −0.853580 | − | 0.520963i | \(-0.825573\pi\) |
0.759235 | + | 0.650816i | \(0.225573\pi\) | |||||||
\(702\) | −54.2016 | + | 37.6799i | −2.04571 | + | 1.42213i | ||||
\(703\) | 4.76634 | − | 0.375119i | 0.179766 | − | 0.0141479i | ||||
\(704\) | 5.21116 | + | 2.96786i | 0.196403 | + | 0.111856i | ||||
\(705\) | −24.7472 | − | 3.91958i | −0.932035 | − | 0.147620i | ||||
\(706\) | −4.46235 | − | 1.55341i | −0.167943 | − | 0.0584632i | ||||
\(707\) | 35.4863 | + | 48.8428i | 1.33460 | + | 1.83692i | ||||
\(708\) | 5.97318 | + | 2.77107i | 0.224486 | + | 0.104143i | ||||
\(709\) | 13.2351 | − | 8.11047i | 0.497054 | − | 0.304595i | −0.251283 | − | 0.967914i | \(-0.580853\pi\) |
0.748337 | + | 0.663319i | \(0.230853\pi\) | |||||||
\(710\) | 14.9615 | + | 3.92333i | 0.561495 | + | 0.147240i | ||||
\(711\) | −5.04418 | − | 12.1777i | −0.189172 | − | 0.456701i | ||||
\(712\) | 19.4501 | + | 9.52059i | 0.728923 | + | 0.356799i | ||||
\(713\) | −1.90144 | − | 5.85202i | −0.0712094 | − | 0.219160i | ||||
\(714\) | 7.69839 | − | 77.2133i | 0.288105 | − | 2.88964i | ||||
\(715\) | −3.46202 | − | 1.12488i | −0.129472 | − | 0.0420681i | ||||
\(716\) | −1.83445 | − | 49.7315i | −0.0685568 | − | 1.85855i | ||||
\(717\) | 2.88100 | + | 1.46794i | 0.107593 | + | 0.0548213i | ||||
\(718\) | −30.2463 | − | 0.630262i | −1.12878 | − | 0.0235212i | ||||
\(719\) | 12.7360 | + | 14.9120i | 0.474975 | + | 0.556124i | 0.945229 | − | 0.326407i | \(-0.105838\pi\) |
−0.470255 | + | 0.882531i | \(0.655838\pi\) | |||||||
\(720\) | 1.97001 | − | 23.5839i | 0.0734180 | − | 0.878920i | ||||
\(721\) | 16.8427 | + | 10.3212i | 0.627255 | + | 0.384383i | ||||
\(722\) | 6.01825 | − | 5.77255i | 0.223976 | − | 0.214832i | ||||
\(723\) | −2.38239 | + | 9.92335i | −0.0886019 | + | 0.369053i | ||||
\(724\) | 43.7165 | + | 12.4427i | 1.62471 | + | 0.462428i | ||||
\(725\) | 4.59745 | + | 3.92659i | 0.170745 | + | 0.145830i | ||||
\(726\) | 24.0456 | − | 37.4638i | 0.892414 | − | 1.39041i | ||||
\(727\) | 3.33770 | + | 13.9025i | 0.123788 | + | 0.515615i | 0.999465 | + | 0.0327169i | \(0.0104160\pi\) |
−0.875676 | + | 0.482898i | \(0.839584\pi\) | |||||||
\(728\) | 27.4624 | + | 63.4049i | 1.01782 | + | 2.34994i | ||||
\(729\) | −17.2133 | + | 17.2133i | −0.637529 | + | 0.637529i | ||||
\(730\) | 0.313041 | + | 1.03643i | 0.0115862 | + | 0.0383601i | ||||
\(731\) | 1.26237 | − | 16.0400i | 0.0466906 | − | 0.593260i | ||||
\(732\) | −41.4213 | − | 27.8208i | −1.53098 | − | 1.02829i | ||||
\(733\) | −28.6397 | + | 4.53608i | −1.05783 | + | 0.167544i | −0.661029 | − | 0.750360i | \(-0.729880\pi\) |
−0.396802 | + | 0.917904i | \(0.629880\pi\) | |||||||
\(734\) | −2.53208 | + | 14.0815i | −0.0934608 | + | 0.519759i | ||||
\(735\) | −45.5834 | − | 18.8813i | −1.68137 | − | 0.696446i | ||||
\(736\) | 2.40671 | − | 5.41352i | 0.0887125 | − | 0.199545i | ||||
\(737\) | − | 3.28189i | − | 0.120890i | ||||||
\(738\) | −35.3776 | − | 42.3562i | −1.30227 | − | 1.55915i | ||||
\(739\) | − | 25.1619i | − | 0.925594i | −0.886464 | − | 0.462797i | \(-0.846846\pi\) | ||
0.886464 | − | 0.462797i | \(-0.153154\pi\) | |||||||
\(740\) | −2.51399 | − | 0.506338i | −0.0924163 | − | 0.0186134i | ||||
\(741\) | −50.4471 | − | 20.8959i | −1.85322 | − | 0.767630i | ||||
\(742\) | 18.8442 | + | 3.38849i | 0.691793 | + | 0.124395i | ||||
\(743\) | 19.6521 | − | 3.11259i | 0.720966 | − | 0.114190i | 0.214840 | − | 0.976649i | \(-0.431077\pi\) |
0.506126 | + | 0.862459i | \(0.331077\pi\) | |||||||
\(744\) | −49.6168 | − | 7.04492i | −1.81904 | − | 0.258279i | ||||
\(745\) | −0.181779 | + | 2.30972i | −0.00665987 | + | 0.0846217i | ||||
\(746\) | −3.62400 | + | 1.09458i | −0.132684 | + | 0.0400755i | ||||
\(747\) | −16.0310 | + | 16.0310i | −0.586542 | + | 0.586542i | ||||
\(748\) | 5.58043 | + | 0.232668i | 0.204041 | + | 0.00850717i | ||||
\(749\) | 6.53247 | + | 27.2097i | 0.238691 | + | 0.994220i | ||||
\(750\) | 31.5599 | + | 20.2562i | 1.15241 | + | 0.739653i | ||||
\(751\) | −32.1133 | − | 27.4273i | −1.17183 | − | 1.00084i | −0.999876 | − | 0.0157318i | \(-0.994992\pi\) |
−0.171953 | − | 0.985105i | \(-0.555008\pi\) | |||||||
\(752\) | −27.7914 | + | 19.9886i | −1.01345 | + | 0.728908i | ||||
\(753\) | −11.7190 | + | 48.8133i | −0.427065 | + | 1.77885i | ||||
\(754\) | 7.29649 | + | 7.60704i | 0.265722 | + | 0.277032i | ||||
\(755\) | −1.42543 | − | 0.873503i | −0.0518766 | − | 0.0317900i | ||||
\(756\) | −50.4590 | − | 75.9109i | −1.83518 | − | 2.76085i | ||||
\(757\) | 13.3536 | + | 15.6351i | 0.485345 | + | 0.568266i | 0.947999 | − | 0.318273i | \(-0.103103\pi\) |
−0.462654 | + | 0.886539i | \(0.653103\pi\) | |||||||
\(758\) | −0.529705 | + | 25.4205i | −0.0192398 | + | 0.923316i | ||||
\(759\) | 2.10952 | + | 1.07485i | 0.0765706 | + | 0.0390147i | ||||
\(760\) | 8.78277 | − | 4.65392i | 0.318584 | − | 0.168816i | ||||
\(761\) | −30.6704 | − | 9.96541i | −1.11180 | − | 0.361246i | −0.305167 | − | 0.952299i | \(-0.598712\pi\) |
−0.806633 | + | 0.591053i | \(0.798712\pi\) | |||||||
\(762\) | 55.4159 | + | 5.52512i | 2.00751 | + | 0.200154i | ||||
\(763\) | −16.1088 | − | 49.5778i | −0.583178 | − | 1.79484i | ||||
\(764\) | 3.49777 | + | 4.45886i | 0.126545 | + | 0.161316i | ||||
\(765\) | −8.43478 | − | 20.3634i | −0.304960 | − | 0.736239i | ||||
\(766\) | 2.55034 | − | 9.72566i | 0.0921477 | − | 0.351402i | ||||
\(767\) | −4.65613 | + | 2.85328i | −0.168123 | + | 0.103026i | ||||
\(768\) | −30.9830 | − | 36.9895i | −1.11800 | − | 1.33474i | ||||
\(769\) | 30.1720 | + | 41.5283i | 1.08803 | + | 1.49755i | 0.850360 | + | 0.526202i | \(0.176384\pi\) |
0.237672 | + | 0.971346i | \(0.423616\pi\) | |||||||
\(770\) | 1.65252 | − | 4.74707i | 0.0595528 | − | 0.171073i | ||||
\(771\) | 48.3595 | + | 7.65939i | 1.74162 | + | 0.275846i | ||||
\(772\) | 8.36995 | − | 9.01109i | 0.301241 | − | 0.324316i | ||||
\(773\) | 45.3447 | − | 3.56870i | 1.63093 | − | 0.128357i | 0.770335 | − | 0.637640i | \(-0.220089\pi\) |
0.860599 | + | 0.509283i | \(0.170089\pi\) | |||||||
\(774\) | −21.2475 | − | 30.5641i | −0.763727 | − | 1.09860i | ||||
\(775\) | 14.0124 | − | 19.2864i | 0.503339 | − | 0.692786i | ||||
\(776\) | 7.81454 | + | 5.48832i | 0.280525 | + | 0.197019i | ||||
\(777\) | −17.3329 | + | 8.83157i | −0.621816 | + | 0.316831i | ||||
\(778\) | −5.96271 | − | 12.3310i | −0.213774 | − | 0.442089i | ||||
\(779\) | 6.94527 | − | 22.1133i | 0.248840 | − | 0.792292i | ||||
\(780\) | 22.9570 | + | 18.1874i | 0.821994 | + | 0.651212i | ||||
\(781\) | 3.83407 | + | 7.52478i | 0.137194 | + | 0.269258i | ||||
\(782\) | −0.318219 | − | 5.50845i | −0.0113795 | − | 0.196982i | ||||
\(783\) | −11.2495 | − | 8.17322i | −0.402023 | − | 0.292087i | ||||
\(784\) | −62.4027 | + | 25.4979i | −2.22867 | + | 0.910639i | ||||
\(785\) | −1.45379 | − | 18.4721i | −0.0518879 | − | 0.659298i | ||||
\(786\) | 14.5057 | + | 37.1931i | 0.517401 | + | 1.32664i | ||||
\(787\) | −1.68634 | + | 10.6471i | −0.0601115 | + | 0.379529i | 0.939231 | + | 0.343285i | \(0.111540\pi\) |
−0.999343 | + | 0.0362447i | \(0.988460\pi\) | |||||||
\(788\) | −48.4360 | + | 5.61496i | −1.72546 | + | 0.200025i | ||||
\(789\) | −3.62115 | + | 2.63092i | −0.128916 | + | 0.0936631i | ||||
\(790\) | −2.29764 | + | 1.88101i | −0.0817462 | + | 0.0669234i | ||||
\(791\) | −30.4662 | − | 49.7164i | −1.08325 | − | 1.76771i | ||||
\(792\) | 10.3308 | − | 7.76189i | 0.367089 | − | 0.275807i | ||||
\(793\) | 38.2311 | − | 15.8359i | 1.35763 | − | 0.562348i | ||||
\(794\) | −1.14670 | − | 5.25650i | −0.0406950 | − | 0.186546i | ||||
\(795\) | 7.71848 | − | 2.50789i | 0.273746 | − | 0.0889455i | ||||
\(796\) | −5.06091 | + | 1.85329i | −0.179379 | + | 0.0656880i | ||||
\(797\) | 5.87042 | − | 18.0673i | 0.207941 | − | 0.639976i | −0.791639 | − | 0.610989i | \(-0.790772\pi\) |
0.999580 | − | 0.0289870i | \(-0.00922814\pi\) | |||||||
\(798\) | 30.2987 | − | 69.0428i | 1.07256 | − | 2.44409i | ||||
\(799\) | −14.4744 | + | 28.4077i | −0.512069 | + | 1.00499i | ||||
\(800\) | 22.4487 | − | 4.78443i | 0.793680 | − | 0.169155i | ||||
\(801\) | 35.4809 | − | 30.3035i | 1.25365 | − | 1.07072i | ||||
\(802\) | −38.1705 | + | 5.23296i | −1.34785 | + | 0.184782i | ||||
\(803\) | −0.308873 | + | 0.504036i | −0.0108999 | + | 0.0177870i | ||||
\(804\) | −9.19881 | + | 24.7514i | −0.324417 | + | 0.872915i | ||||
\(805\) | −4.82840 | − | 1.15920i | −0.170179 | − | 0.0408563i | ||||
\(806\) | 27.6445 | − | 31.0343i | 0.973734 | − | 1.09314i | ||||
\(807\) | 46.3759 | − | 54.2992i | 1.63251 | − | 1.91142i | ||||
\(808\) | 33.0750 | − | 11.3362i | 1.16357 | − | 0.398807i | ||||
\(809\) | −20.9317 | + | 5.02525i | −0.735919 | + | 0.176678i | −0.584045 | − | 0.811721i | \(-0.698531\pi\) |
−0.151874 | + | 0.988400i | \(0.548531\pi\) | |||||||
\(810\) | −11.9293 | − | 6.39473i | −0.419151 | − | 0.224688i | ||||
\(811\) | −23.3408 | − | 23.3408i | −0.819605 | − | 0.819605i | 0.166446 | − | 0.986051i | \(-0.446771\pi\) |
−0.986051 | + | 0.166446i | \(0.946771\pi\) | |||||||
\(812\) | −10.7117 | + | 9.85420i | −0.375906 | + | 0.345815i | ||||
\(813\) | 53.0972 | + | 4.17884i | 1.86220 | + | 0.146558i | ||||
\(814\) | −0.706582 | − | 1.20887i | −0.0247657 | − | 0.0423707i | ||||
\(815\) | 1.20409 | + | 7.60233i | 0.0421775 | + | 0.266298i | ||||
\(816\) | −41.4345 | − | 17.3962i | −1.45050 | − | 0.608987i | ||||
\(817\) | 5.98282 | − | 14.4438i | 0.209312 | − | 0.505325i | ||||
\(818\) | −23.0120 | + | 30.3241i | −0.804597 | + | 1.06026i | ||||
\(819\) | 148.883 | 5.20238 | ||||||||
\(820\) | −6.82999 | + | 10.3883i | −0.238514 | + | 0.362775i | ||||
\(821\) | 18.2757 | 0.637827 | 0.318913 | − | 0.947784i | \(-0.396682\pi\) | ||||
0.318913 | + | 0.947784i | \(0.396682\pi\) | |||||||
\(822\) | 42.7278 | − | 56.3046i | 1.49030 | − | 1.96385i | ||||
\(823\) | −7.73459 | + | 18.6730i | −0.269611 | + | 0.650899i | −0.999465 | − | 0.0327044i | \(-0.989588\pi\) |
0.729854 | + | 0.683603i | \(0.239588\pi\) | |||||||
\(824\) | 8.57871 | − | 7.56815i | 0.298854 | − | 0.263649i | ||||
\(825\) | 1.43492 | + | 9.05972i | 0.0499575 | + | 0.315419i | ||||
\(826\) | −3.80510 | − | 6.51002i | −0.132396 | − | 0.226512i | ||||
\(827\) | −8.47147 | − | 0.666719i | −0.294582 | − | 0.0231841i | −0.0696930 | − | 0.997568i | \(-0.522202\pi\) |
−0.224889 | + | 0.974384i | \(0.572202\pi\) | |||||||
\(828\) | −8.64256 | − | 9.39459i | −0.300350 | − | 0.326485i | ||||
\(829\) | −20.8920 | − | 20.8920i | −0.725609 | − | 0.725609i | 0.244133 | − | 0.969742i | \(-0.421497\pi\) |
−0.969742 | + | 0.244133i | \(0.921497\pi\) | |||||||
\(830\) | 4.50135 | + | 2.41297i | 0.156244 | + | 0.0837554i | ||||
\(831\) | 39.8618 | − | 9.56998i | 1.38279 | − | 0.331979i | ||||
\(832\) | 39.7714 | − | 4.41721i | 1.37883 | − | 0.153139i | ||||
\(833\) | −40.7741 | + | 47.7403i | −1.41274 | + | 1.65410i | ||||
\(834\) | −45.1616 | + | 50.6994i | −1.56382 | + | 1.75558i | ||||
\(835\) | 17.0920 | + | 4.10343i | 0.591493 | + | 0.142005i | ||||
\(836\) | 5.08713 | + | 1.89062i | 0.175942 | + | 0.0653884i | ||||
\(837\) | −28.6471 | + | 46.7478i | −0.990188 | + | 1.61584i | ||||
\(838\) | −42.8831 | + | 5.87903i | −1.48137 | + | 0.203088i | ||||
\(839\) | 20.8098 | − | 17.7733i | 0.718436 | − | 0.613602i | −0.213195 | − | 0.977010i | \(-0.568387\pi\) |
0.931630 | + | 0.363408i | \(0.118387\pi\) | |||||||
\(840\) | −25.7686 | + | 31.1697i | −0.889103 | + | 1.07546i | ||||
\(841\) | 12.1577 | − | 23.8608i | 0.419231 | − | 0.822788i | ||||
\(842\) | −4.40449 | + | 10.0367i | −0.151789 | + | 0.345887i | ||||
\(843\) | −29.1822 | + | 89.8135i | −1.00509 | + | 3.09334i | ||||
\(844\) | 2.02851 | + | 5.53942i | 0.0698243 | + | 0.190675i | ||||
\(845\) | −11.0980 | + | 3.60595i | −0.381782 | + | 0.124048i | ||||
\(846\) | 15.7214 | + | 72.0670i | 0.540513 | + | 2.47772i | ||||
\(847\) | −47.0982 | + | 19.5087i | −1.61831 | + | 0.670327i | ||||
\(848\) | 5.08133 | − | 9.85546i | 0.174493 | − | 0.338438i | ||||
\(849\) | −49.6268 | − | 80.9835i | −1.70319 | − | 2.77935i | ||||
\(850\) | 16.5409 | − | 13.5416i | 0.567347 | − | 0.464471i | ||||
\(851\) | −1.11908 | + | 0.813060i | −0.0383616 | + | 0.0278713i | ||||
\(852\) | −7.82464 | − | 67.4971i | −0.268068 | − | 2.31241i | ||||
\(853\) | −6.05751 | + | 38.2456i | −0.207405 | + | 1.30951i | 0.635775 | + | 0.771875i | \(0.280681\pi\) |
−0.843180 | + | 0.537631i | \(0.819319\pi\) | |||||||
\(854\) | 20.7621 | + | 53.2349i | 0.710465 | + | 1.82166i | ||||
\(855\) | −1.68035 | − | 21.3508i | −0.0574667 | − | 0.730184i | ||||
\(856\) | 16.1741 | + | 1.01226i | 0.552818 | + | 0.0345984i | ||||
\(857\) | 23.2310 | + | 16.8783i | 0.793555 | + | 0.576551i | 0.909016 | − | 0.416761i | \(-0.136835\pi\) |
−0.115462 | + | 0.993312i | \(0.536835\pi\) | |||||||
\(858\) | 0.922285 | + | 15.9650i | 0.0314863 | + | 0.545035i | ||||
\(859\) | −16.1031 | − | 31.6040i | −0.549430 | − | 1.07832i | −0.984082 | − | 0.177718i | \(-0.943129\pi\) |
0.434652 | − | 0.900598i | \(-0.356871\pi\) | |||||||
\(860\) | −5.20733 | + | 6.57296i | −0.177568 | + | 0.224136i | ||||
\(861\) | 8.32398 | + | 93.9399i | 0.283680 | + | 3.20146i | ||||
\(862\) | −1.62844 | − | 3.36765i | −0.0554649 | − | 0.114703i | ||||
\(863\) | 17.0853 | − | 8.70539i | 0.581590 | − | 0.296335i | −0.138337 | − | 0.990385i | \(-0.544176\pi\) |
0.719926 | + | 0.694050i | \(0.244176\pi\) | |||||||
\(864\) | −50.6065 | + | 15.0204i | −1.72167 | + | 0.511004i | ||||
\(865\) | 6.74039 | − | 9.27735i | 0.229180 | − | 0.315439i | ||||
\(866\) | 4.81320 | + | 6.92367i | 0.163559 | + | 0.235276i | ||||
\(867\) | 9.38492 | − | 0.738609i | 0.318729 | − | 0.0250845i | ||||
\(868\) | 42.0486 | + | 39.0568i | 1.42722 | + | 1.32567i | ||||
\(869\) | −1.60135 | − | 0.253629i | −0.0543220 | − | 0.00860377i | ||||
\(870\) | −2.02829 | + | 5.82650i | −0.0687654 | + | 0.197537i | ||||
\(871\) | −12.8718 | − | 17.7165i | −0.436144 | − | 0.600301i | ||||
\(872\) | −30.1857 | + | 0.484094i | −1.02222 | + | 0.0163935i | ||||
\(873\) | 17.5438 | − | 10.7508i | 0.593766 | − | 0.363860i | ||||
\(874\) | 1.35992 | − | 5.18601i | 0.0460000 | − | 0.175420i | ||||
\(875\) | −16.4343 | − | 39.6760i | −0.555582 | − | 1.34129i | ||||
\(876\) | 3.74223 | − | 2.93561i | 0.126438 | − | 0.0991850i | ||||
\(877\) | −9.02856 | − | 27.7870i | −0.304873 | − | 0.938302i | −0.979725 | − | 0.200348i | \(-0.935793\pi\) |
0.674852 | − | 0.737953i | \(-0.264207\pi\) | |||||||
\(878\) | −14.1118 | − | 1.40698i | −0.476249 | − | 0.0474834i | ||||
\(879\) | −23.3313 | − | 7.58079i | −0.786944 | − | 0.255694i | ||||
\(880\) | −2.34680 | − | 1.72232i | −0.0791106 | − | 0.0580593i | ||||
\(881\) | −41.5729 | − | 21.1824i | −1.40063 | − | 0.713654i | −0.419632 | − | 0.907694i | \(-0.637841\pi\) |
−0.980994 | + | 0.194040i | \(0.937841\pi\) | |||||||
\(882\) | −3.02602 | + | 145.219i | −0.101891 | + | 4.88977i | ||||
\(883\) | 31.8123 | + | 37.2474i | 1.07057 | + | 1.25348i | 0.965885 | + | 0.258970i | \(0.0833831\pi\) |
0.104684 | + | 0.994506i | \(0.466617\pi\) | |||||||
\(884\) | 31.0372 | − | 20.6309i | 1.04390 | − | 0.693891i | ||||
\(885\) | −2.72523 | − | 1.67002i | −0.0916075 | − | 0.0561372i | ||||
\(886\) | −0.670258 | − | 0.698786i | −0.0225178 | − | 0.0234762i | ||||
\(887\) | 4.61576 | − | 19.2260i | 0.154982 | − | 0.645547i | −0.839744 | − | 0.542982i | \(-0.817295\pi\) |
0.994726 | − | 0.102565i | \(-0.0327049\pi\) | |||||||
\(888\) | 1.94058 | + | 11.0975i | 0.0651216 | + | 0.372409i | ||||
\(889\) | −48.4948 | − | 41.4184i | −1.62646 | − | 1.38913i | ||||
\(890\) | −8.84619 | − | 5.67779i | −0.296525 | − | 0.190320i | ||||
\(891\) | −1.72522 | − | 7.18607i | −0.0577971 | − | 0.240742i | ||||
\(892\) | 1.22142 | − | 29.2952i | 0.0408961 | − | 0.980875i | ||||
\(893\) | −21.9059 | + | 21.9059i | −0.733054 | + | 0.733054i | ||||
\(894\) | 9.74342 | − | 2.94287i | 0.325869 | − | 0.0984245i | ||||
\(895\) | −1.89528 | + | 24.0818i | −0.0633523 | + | 0.804967i | ||||
\(896\) | 4.95399 | + | 55.0328i | 0.165501 | + | 1.83852i | ||||
\(897\) | 15.6034 | − | 2.47134i | 0.520982 | − | 0.0825155i | ||||
\(898\) | 33.4027 | + | 6.00632i | 1.11466 | + | 0.200434i | ||||
\(899\) | 8.08828 | + | 3.35027i | 0.269759 | + | 0.111738i | ||||
\(900\) | 9.76483 | − | 48.4829i | 0.325494 | − | 1.61610i | ||||
\(901\) | − | 10.3270i | − | 0.344041i | ||||||
\(902\) | −6.71587 | + | 0.988120i | −0.223614 | + | 0.0329008i | ||||
\(903\) | 63.6110i | 2.11684i | ||||||||
\(904\) | −32.7047 | + | 8.40857i | −1.08774 | + | 0.279665i | ||||
\(905\) | −20.3835 | − | 8.44314i | −0.677572 | − | 0.280660i | ||||
\(906\) | −1.29976 | + | 7.22832i | −0.0431818 | + | 0.240145i | ||||
\(907\) | 30.9908 | − | 4.90846i | 1.02903 | − | 0.162983i | 0.380984 | − | 0.924582i | \(-0.375585\pi\) |
0.648048 | + | 0.761599i | \(0.275585\pi\) | |||||||
\(908\) | −2.43871 | + | 3.63090i | −0.0809315 | + | 0.120496i | ||||
\(909\) | 5.91082 | − | 75.1042i | 0.196050 | − | 2.49105i | ||||
\(910\) | −9.69760 | − | 32.1073i | −0.321472 | − | 1.06435i | ||||
\(911\) | 8.64845 | − | 8.64845i | 0.286536 | − | 0.286536i | −0.549173 | − | 0.835709i | \(-0.685057\pi\) |
0.835709 | + | 0.549173i | \(0.185057\pi\) | |||||||
\(912\) | −33.0670 | − | 28.5174i | −1.09496 | − | 0.944307i | ||||
\(913\) | 0.650990 | + | 2.71157i | 0.0215446 | + | 0.0897399i | ||||
\(914\) | 18.1432 | − | 28.2677i | 0.600122 | − | 0.935011i | ||||
\(915\) | 18.4173 | + | 15.7298i | 0.608856 | + | 0.520012i | ||||
\(916\) | 4.85471 | − | 17.0567i | 0.160404 | − | 0.563571i | ||||
\(917\) | 10.6724 | − | 44.4537i | 0.352433 | − | 1.46799i | ||||
\(918\) | −35.4810 | + | 34.0325i | −1.17105 | + | 1.12324i | ||||
\(919\) | −13.6902 | − | 8.38935i | −0.451597 | − | 0.276739i | 0.278045 | − | 0.960568i | \(-0.410314\pi\) |
−0.729643 | + | 0.683829i | \(0.760314\pi\) | |||||||
\(920\) | −1.46305 | + | 2.47574i | −0.0482354 | + | 0.0816227i | ||||
\(921\) | 36.4610 | + | 42.6904i | 1.20143 | + | 1.40670i | ||||
\(922\) | 29.0290 | + | 0.604896i | 0.956019 | + | 0.0199212i | ||||
\(923\) | 50.2101 | + | 25.5833i | 1.65269 | + | 0.842085i | ||||
\(924\) | −22.0667 | + | 0.813979i | −0.725941 | + | 0.0267779i | ||||
\(925\) | −5.09686 | − | 1.65607i | −0.167584 | − | 0.0544513i | ||||
\(926\) | 2.28438 | − | 22.9119i | 0.0750694 | − | 0.752931i | ||||
\(927\) | −7.61712 | − | 23.4431i | −0.250179 | − | 0.769972i | ||||
\(928\) | 3.63301 | + | 7.60606i | 0.119259 | + | 0.249681i | ||||
\(929\) | −11.4040 | − | 27.5317i | −0.374153 | − | 0.903284i | −0.993037 | − | 0.117802i | \(-0.962415\pi\) |
0.618884 | − | 0.785482i | \(-0.287585\pi\) | |||||||
\(930\) | 23.5302 | + | 6.17029i | 0.771586 | + | 0.202332i | ||||
\(931\) | −52.0148 | + | 31.8747i | −1.70472 | + | 1.04465i | ||||
\(932\) | −4.69279 | + | 10.1155i | −0.153718 | + | 0.331346i | ||||
\(933\) | −45.9426 | − | 63.2346i | −1.50409 | − | 2.07021i | ||||
\(934\) | 36.9157 | + | 12.8509i | 1.20792 | + | 0.420493i | ||||
\(935\) | −2.67774 | − | 0.424113i | −0.0875716 | − | 0.0138700i | ||||
\(936\) | 25.3258 | − | 82.4190i | 0.827800 | − | 2.69395i | ||||
\(937\) | 15.8457 | − | 1.24708i | 0.517656 | − | 0.0407404i | 0.183060 | − | 0.983102i | \(-0.441400\pi\) |
0.334597 | + | 0.942361i | \(0.391400\pi\) | |||||||
\(938\) | 24.8285 | − | 17.2603i | 0.810680 | − | 0.563568i | ||||
\(939\) | −38.7642 | + | 53.3544i | −1.26502 | + | 1.74115i | ||||
\(940\) | 14.5176 | − | 8.08456i | 0.473512 | − | 0.263689i | ||||
\(941\) | 27.9609 | − | 14.2468i | 0.911498 | − | 0.464431i | 0.0656421 | − | 0.997843i | \(-0.479090\pi\) |
0.845856 | + | 0.533412i | \(0.179090\pi\) | |||||||
\(942\) | −73.2822 | + | 35.4359i | −2.38766 | + | 1.15456i | ||||
\(943\) | 1.62955 | + | 6.50495i | 0.0530656 | + | 0.211830i | ||||
\(944\) | −4.25111 | + | 0.999050i | −0.138362 | + | 0.0325163i | ||||
\(945\) | 20.0870 | + | 39.4229i | 0.653429 | + | 1.28243i | ||||
\(946\) | −4.57102 | + | 0.264065i | −0.148617 | + | 0.00858549i | ||||
\(947\) | −28.7384 | − | 20.8797i | −0.933872 | − | 0.678498i | 0.0130660 | − | 0.999915i | \(-0.495841\pi\) |
−0.946938 | + | 0.321417i | \(0.895841\pi\) | |||||||
\(948\) | 11.3662 | + | 6.40125i | 0.369157 | + | 0.207903i | ||||
\(949\) | 0.309482 | + | 3.93235i | 0.0100462 | + | 0.127649i | ||||
\(950\) | 19.3518 | − | 7.54738i | 0.627855 | − | 0.244869i | ||||
\(951\) | −1.25436 | + | 7.91973i | −0.0406755 | + | 0.256815i | ||||
\(952\) | 27.5887 | + | 43.4414i | 0.894156 | + | 1.40794i | ||||
\(953\) | 44.5577 | − | 32.3730i | 1.44336 | − | 1.04867i | 0.456038 | − | 0.889960i | \(-0.349268\pi\) |
0.987326 | − | 0.158705i | \(-0.0507320\pi\) | |||||||
\(954\) | −15.1347 | − | 18.4869i | −0.490004 | − | 0.598534i | ||||
\(955\) | −1.43730 | − | 2.34547i | −0.0465100 | − | 0.0758975i | ||||
\(956\) | −2.10419 | + | 0.413303i | −0.0680544 | + | 0.0133672i | ||||
\(957\) | −3.11214 | + | 1.28909i | −0.100601 | + | 0.0416703i | ||||
\(958\) | −37.8083 | + | 8.24786i | −1.22153 | + | 0.266476i | ||||
\(959\) | −76.9801 | + | 25.0124i | −2.48582 | + | 0.807691i | ||||
\(960\) | 12.8717 | + | 19.5673i | 0.415431 | + | 0.631531i | ||||
\(961\) | 1.08751 | − | 3.34703i | 0.0350811 | − | 0.107969i | ||||
\(962\) | −8.55558 | − | 3.75452i | −0.275843 | − | 0.121051i | ||||
\(963\) | 15.8526 | − | 31.1125i | 0.510844 | − | 1.00259i | ||||
\(964\) | −2.81879 | − | 6.15322i | −0.0907872 | − | 0.198182i | ||||
\(965\) | −4.53948 | + | 3.87708i | −0.146131 | + | 0.124808i | ||||
\(966\) | 2.96289 | + | 21.6121i | 0.0953296 | + | 0.695358i | ||||
\(967\) | −20.5449 | + | 33.5262i | −0.660678 | + | 1.07813i | 0.330270 | + | 0.943886i | \(0.392860\pi\) |
−0.990949 | + | 0.134242i | \(0.957140\pi\) | |||||||
\(968\) | 2.78802 | + | 29.3913i | 0.0896105 | + | 0.944674i | ||||
\(969\) | −39.5438 | − | 9.49362i | −1.27033 | − | 0.304979i | ||||
\(970\) | −3.46120 | − | 3.08314i | −0.111132 | − | 0.0989936i | ||||
\(971\) | −20.9291 | + | 24.5048i | −0.671646 | + | 0.786396i | −0.986678 | − | 0.162685i | \(-0.947985\pi\) |
0.315032 | + | 0.949081i | \(0.397985\pi\) | |||||||
\(972\) | −0.416138 | + | 3.44509i | −0.0133476 | + | 0.110501i | ||||
\(973\) | 75.6048 | − | 18.1511i | 2.42378 | − | 0.581898i | ||||
\(974\) | 22.8070 | − | 42.5460i | 0.730782 | − | 1.36326i | ||||
\(975\) | 43.2790 | + | 43.2790i | 1.38604 | + | 1.38604i | ||||
\(976\) | 33.0017 | − | 2.43800i | 1.05636 | − | 0.0780385i | ||||
\(977\) | −14.6721 | − | 1.15472i | −0.469404 | − | 0.0369429i | −0.158448 | − | 0.987367i | \(-0.550649\pi\) |
−0.310956 | + | 0.950424i | \(0.600649\pi\) | |||||||
\(978\) | 29.1929 | − | 17.0632i | 0.933486 | − | 0.545622i | ||||
\(979\) | −0.897833 | − | 5.66870i | −0.0286949 | − | 0.181172i | ||||
\(980\) | 31.5143 | − | 8.80638i | 1.00669 | − | 0.281309i | ||||
\(981\) | −24.8933 | + | 60.0978i | −0.794782 | + | 1.91877i | ||||
\(982\) | −1.90833 | − | 1.44817i | −0.0608974 | − | 0.0462131i | ||||
\(983\) | −1.16313 | −0.0370981 | −0.0185490 | − | 0.999828i | \(-0.505905\pi\) | ||||
−0.0185490 | + | 0.999828i | \(0.505905\pi\) | |||||||
\(984\) | 53.4196 | + | 11.3717i | 1.70295 | + | 0.362517i | ||||
\(985\) | 23.6685 | 0.754141 | ||||||||
\(986\) | 6.25363 | + | 4.74568i | 0.199156 | + | 0.151133i | ||||
\(987\) | 48.2372 | − | 116.455i | 1.53541 | − | 3.70680i | ||||
\(988\) | 34.8768 | − | 9.74601i | 1.10958 | − | 0.310062i | ||||
\(989\) | 0.707582 | + | 4.46750i | 0.0224998 | + | 0.142058i | ||||
\(990\) | −5.41513 | + | 3.16514i | −0.172104 | + | 0.100595i | ||||
\(991\) | 17.1259 | + | 1.34783i | 0.544021 | + | 0.0428154i | 0.347493 | − | 0.937683i | \(-0.387033\pi\) |
0.196528 | + | 0.980498i | \(0.437033\pi\) | |||||||
\(992\) | 28.7739 | − | 16.6336i | 0.913573 | − | 0.528118i | ||||
\(993\) | 16.2757 | + | 16.2757i | 0.516495 | + | 0.516495i | ||||
\(994\) | −36.7630 | + | 68.5807i | −1.16605 | + | 2.17525i | ||||
\(995\) | 2.54384 | − | 0.610722i | 0.0806452 | − | 0.0193612i | ||||
\(996\) | 2.69061 | − | 22.2749i | 0.0852554 | − | 0.705806i | ||||
\(997\) | −21.0729 | + | 24.6732i | −0.667384 | + | 0.781407i | −0.986048 | − | 0.166461i | \(-0.946766\pi\) |
0.318664 | + | 0.947868i | \(0.396766\pi\) | |||||||
\(998\) | −14.0776 | − | 12.5399i | −0.445617 | − | 0.396943i | ||||
\(999\) | 11.9848 | + | 2.87730i | 0.379182 | + | 0.0910336i |
(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 | 164.2.o.b.75.4 | yes | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.75.10 | yes | 288 | |
41.35 | odd | 40 | inner | 164.2.o.b.35.10 | yes | 288 | |
164.35 | even | 40 | inner | 164.2.o.b.35.4 | ✓ | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.35.4 | ✓ | 288 | 164.35 | even | 40 | inner | |
164.2.o.b.35.10 | yes | 288 | 41.35 | odd | 40 | inner | |
164.2.o.b.75.4 | yes | 288 | 1.1 | even | 1 | trivial | |
164.2.o.b.75.10 | yes | 288 | 4.3 | odd | 2 | inner |