Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(267,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.267");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 267.3 | ||
Character | \(\chi\) | \(=\) | 380.267 |
Dual form | 380.2.k.c.343.3 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38463 | − | 0.287770i | −0.979078 | − | 0.203484i | ||||
\(3\) | 1.15541 | + | 1.15541i | 0.667075 | + | 0.667075i | 0.957038 | − | 0.289963i | \(-0.0936428\pi\) |
−0.289963 | + | 0.957038i | \(0.593643\pi\) | |||||||
\(4\) | 1.83438 | + | 0.796907i | 0.917189 | + | 0.398453i | ||||
\(5\) | −0.283261 | − | 2.21805i | −0.126678 | − | 0.991944i | ||||
\(6\) | −1.26732 | − | 1.93230i | −0.517380 | − | 0.788858i | ||||
\(7\) | −3.26325 | + | 3.26325i | −1.23339 | + | 1.23339i | −0.270742 | + | 0.962652i | \(0.587269\pi\) |
−0.962652 | + | 0.270742i | \(0.912731\pi\) | |||||||
\(8\) | −2.31060 | − | 1.63130i | −0.816921 | − | 0.576750i | ||||
\(9\) | − | 0.330062i | − | 0.110021i | ||||||
\(10\) | −0.246078 | + | 3.15269i | −0.0778167 | + | 0.996968i | ||||
\(11\) | 4.56912i | 1.37764i | 0.724932 | + | 0.688820i | \(0.241871\pi\) | ||||
−0.724932 | + | 0.688820i | \(0.758129\pi\) | |||||||
\(12\) | 1.19870 | + | 3.04021i | 0.346036 | + | 0.877632i | ||||
\(13\) | −3.90789 | + | 3.90789i | −1.08385 | + | 1.08385i | −0.0877064 | + | 0.996146i | \(0.527954\pi\) |
−0.996146 | + | 0.0877064i | \(0.972046\pi\) | |||||||
\(14\) | 5.45745 | − | 3.57932i | 1.45857 | − | 0.956613i | ||||
\(15\) | 2.23548 | − | 2.89004i | 0.577197 | − | 0.746205i | ||||
\(16\) | 2.72988 | + | 2.92365i | 0.682470 | + | 0.730914i | ||||
\(17\) | 3.68739 | + | 3.68739i | 0.894324 | + | 0.894324i | 0.994927 | − | 0.100602i | \(-0.0320770\pi\) |
−0.100602 | + | 0.994927i | \(0.532077\pi\) | |||||||
\(18\) | −0.0949818 | + | 0.457012i | −0.0223874 | + | 0.107719i | ||||
\(19\) | 1.00000 | 0.229416 | ||||||||
\(20\) | 1.24797 | − | 4.29448i | 0.279055 | − | 0.960275i | ||||
\(21\) | −7.54078 | −1.64553 | ||||||||
\(22\) | 1.31485 | − | 6.32652i | 0.280328 | − | 1.34882i | ||||
\(23\) | −0.671647 | − | 0.671647i | −0.140048 | − | 0.140048i | 0.633607 | − | 0.773655i | \(-0.281574\pi\) |
−0.773655 | + | 0.633607i | \(0.781574\pi\) | |||||||
\(24\) | −0.784875 | − | 4.55450i | −0.160212 | − | 0.929684i | ||||
\(25\) | −4.83953 | + | 1.25658i | −0.967905 | + | 0.251315i | ||||
\(26\) | 6.53553 | − | 4.28639i | 1.28172 | − | 0.840630i | ||||
\(27\) | 3.84758 | − | 3.84758i | 0.740468 | − | 0.740468i | ||||
\(28\) | −8.58655 | + | 3.38553i | −1.62270 | + | 0.639805i | ||||
\(29\) | 1.43401i | 0.266289i | 0.991097 | + | 0.133145i | \(0.0425074\pi\) | ||||
−0.991097 | + | 0.133145i | \(0.957493\pi\) | |||||||
\(30\) | −3.92696 | + | 3.35832i | −0.716962 | + | 0.613143i | ||||
\(31\) | 2.10503i | 0.378074i | 0.981970 | + | 0.189037i | \(0.0605366\pi\) | ||||
−0.981970 | + | 0.189037i | \(0.939463\pi\) | |||||||
\(32\) | −2.93852 | − | 4.83374i | −0.519462 | − | 0.854493i | ||||
\(33\) | −5.27920 | + | 5.27920i | −0.918990 | + | 0.918990i | ||||
\(34\) | −4.04454 | − | 6.16678i | −0.693633 | − | 1.05759i | ||||
\(35\) | 8.16243 | + | 6.31372i | 1.37970 | + | 1.06721i | ||||
\(36\) | 0.263028 | − | 0.605458i | 0.0438381 | − | 0.100910i | ||||
\(37\) | 3.01280 | + | 3.01280i | 0.495301 | + | 0.495301i | 0.909972 | − | 0.414670i | \(-0.136103\pi\) |
−0.414670 | + | 0.909972i | \(0.636103\pi\) | |||||||
\(38\) | −1.38463 | − | 0.287770i | −0.224616 | − | 0.0466824i | ||||
\(39\) | −9.03041 | −1.44602 | ||||||||
\(40\) | −2.96380 | + | 5.58712i | −0.468618 | + | 0.883401i | ||||
\(41\) | 3.51686 | 0.549241 | 0.274621 | − | 0.961553i | \(-0.411448\pi\) | ||||
0.274621 | + | 0.961553i | \(0.411448\pi\) | |||||||
\(42\) | 10.4412 | + | 2.17001i | 1.61111 | + | 0.334840i | ||||
\(43\) | −1.49689 | − | 1.49689i | −0.228273 | − | 0.228273i | 0.583698 | − | 0.811971i | \(-0.301605\pi\) |
−0.811971 | + | 0.583698i | \(0.801605\pi\) | |||||||
\(44\) | −3.64116 | + | 8.38148i | −0.548925 | + | 1.26356i | ||||
\(45\) | −0.732095 | + | 0.0934937i | −0.109134 | + | 0.0139372i | ||||
\(46\) | 0.736700 | + | 1.12326i | 0.108621 | + | 0.165616i | ||||
\(47\) | −5.49969 | + | 5.49969i | −0.802212 | + | 0.802212i | −0.983441 | − | 0.181229i | \(-0.941993\pi\) |
0.181229 | + | 0.983441i | \(0.441993\pi\) | |||||||
\(48\) | −0.223890 | + | 6.53214i | −0.0323157 | + | 0.942834i | ||||
\(49\) | − | 14.2977i | − | 2.04252i | ||||||
\(50\) | 7.06254 | − | 0.347220i | 0.998794 | − | 0.0491044i | ||||
\(51\) | 8.52089i | 1.19316i | ||||||||
\(52\) | −10.2828 | + | 4.05432i | −1.42596 | + | 0.562233i | ||||
\(53\) | 5.92537 | − | 5.92537i | 0.813913 | − | 0.813913i | −0.171305 | − | 0.985218i | \(-0.554798\pi\) |
0.985218 | + | 0.171305i | \(0.0547985\pi\) | |||||||
\(54\) | −6.43468 | + | 4.22024i | −0.875649 | + | 0.574302i | ||||
\(55\) | 10.1345 | − | 1.29425i | 1.36654 | − | 0.174517i | ||||
\(56\) | 12.8634 | − | 2.21674i | 1.71895 | − | 0.296225i | ||||
\(57\) | 1.15541 | + | 1.15541i | 0.153038 | + | 0.153038i | ||||
\(58\) | 0.412665 | − | 1.98557i | 0.0541855 | − | 0.260718i | ||||
\(59\) | 1.07843 | 0.140400 | 0.0702000 | − | 0.997533i | \(-0.477636\pi\) | ||||
0.0702000 | + | 0.997533i | \(0.477636\pi\) | |||||||
\(60\) | 6.40380 | − | 3.51996i | 0.826727 | − | 0.454425i | ||||
\(61\) | −11.0480 | −1.41455 | −0.707277 | − | 0.706936i | \(-0.750077\pi\) | ||||
−0.707277 | + | 0.706936i | \(0.750077\pi\) | |||||||
\(62\) | 0.605762 | − | 2.91467i | 0.0769319 | − | 0.370164i | ||||
\(63\) | 1.07708 | + | 1.07708i | 0.135699 | + | 0.135699i | ||||
\(64\) | 2.67775 | + | 7.53855i | 0.334719 | + | 0.942318i | ||||
\(65\) | 9.77486 | + | 7.56095i | 1.21242 | + | 0.937820i | ||||
\(66\) | 8.82890 | − | 5.79052i | 1.08676 | − | 0.712763i | ||||
\(67\) | −1.29688 | + | 1.29688i | −0.158439 | + | 0.158439i | −0.781875 | − | 0.623436i | \(-0.785736\pi\) |
0.623436 | + | 0.781875i | \(0.285736\pi\) | |||||||
\(68\) | 3.82556 | + | 9.70258i | 0.463918 | + | 1.17661i | ||||
\(69\) | − | 1.55205i | − | 0.186845i | ||||||
\(70\) | −9.48501 | − | 11.0910i | −1.13368 | − | 1.32563i | ||||
\(71\) | − | 1.88311i | − | 0.223484i | −0.993737 | − | 0.111742i | \(-0.964357\pi\) | ||
0.993737 | − | 0.111742i | \(-0.0356430\pi\) | |||||||
\(72\) | −0.538428 | + | 0.762641i | −0.0634544 | + | 0.0898781i | ||||
\(73\) | −3.20108 | + | 3.20108i | −0.374659 | + | 0.374659i | −0.869171 | − | 0.494512i | \(-0.835347\pi\) |
0.494512 | + | 0.869171i | \(0.335347\pi\) | |||||||
\(74\) | −3.30461 | − | 5.03859i | −0.384153 | − | 0.585725i | ||||
\(75\) | −7.04349 | − | 4.13977i | −0.813312 | − | 0.478019i | ||||
\(76\) | 1.83438 | + | 0.796907i | 0.210417 | + | 0.0914115i | ||||
\(77\) | −14.9102 | − | 14.9102i | −1.69917 | − | 1.69917i | ||||
\(78\) | 12.5037 | + | 2.59868i | 1.41577 | + | 0.294242i | ||||
\(79\) | 2.07546 | 0.233507 | 0.116753 | − | 0.993161i | \(-0.462751\pi\) | ||||
0.116753 | + | 0.993161i | \(0.462751\pi\) | |||||||
\(80\) | 5.71156 | − | 6.88318i | 0.638571 | − | 0.769563i | ||||
\(81\) | 7.90087 | 0.877875 | ||||||||
\(82\) | −4.86954 | − | 1.01205i | −0.537750 | − | 0.111762i | ||||
\(83\) | −2.08842 | − | 2.08842i | −0.229234 | − | 0.229234i | 0.583139 | − | 0.812373i | \(-0.301824\pi\) |
−0.812373 | + | 0.583139i | \(0.801824\pi\) | |||||||
\(84\) | −13.8326 | − | 6.00930i | −1.50926 | − | 0.655668i | ||||
\(85\) | 7.13434 | − | 9.22333i | 0.773828 | − | 1.00041i | ||||
\(86\) | 1.64187 | + | 2.50339i | 0.177048 | + | 0.269948i | ||||
\(87\) | −1.65687 | + | 1.65687i | −0.177635 | + | 0.177635i | ||||
\(88\) | 7.45358 | − | 10.5574i | 0.794554 | − | 1.12542i | ||||
\(89\) | − | 10.9661i | − | 1.16240i | −0.813759 | − | 0.581202i | \(-0.802583\pi\) | ||
0.813759 | − | 0.581202i | \(-0.197417\pi\) | |||||||
\(90\) | 1.04058 | + | 0.0812209i | 0.109687 | + | 0.00856144i | ||||
\(91\) | − | 25.5049i | − | 2.67363i | ||||||
\(92\) | −0.696814 | − | 1.76729i | −0.0726479 | − | 0.184253i | ||||
\(93\) | −2.43216 | + | 2.43216i | −0.252204 | + | 0.252204i | ||||
\(94\) | 9.19765 | − | 6.03237i | 0.948666 | − | 0.622191i | ||||
\(95\) | −0.283261 | − | 2.21805i | −0.0290620 | − | 0.227568i | ||||
\(96\) | 2.18976 | − | 8.98014i | 0.223491 | − | 0.916532i | ||||
\(97\) | 1.72131 | + | 1.72131i | 0.174773 | + | 0.174773i | 0.789073 | − | 0.614300i | \(-0.210561\pi\) |
−0.614300 | + | 0.789073i | \(0.710561\pi\) | |||||||
\(98\) | −4.11443 | + | 19.7969i | −0.415620 | + | 1.99979i | ||||
\(99\) | 1.50809 | 0.151569 | ||||||||
\(100\) | −9.87889 | − | 1.55161i | −0.987889 | − | 0.155161i | ||||
\(101\) | 15.3995 | 1.53231 | 0.766154 | − | 0.642658i | \(-0.222168\pi\) | ||||
0.766154 | + | 0.642658i | \(0.222168\pi\) | |||||||
\(102\) | 2.45205 | − | 11.7982i | 0.242790 | − | 1.16820i | ||||
\(103\) | −0.538076 | − | 0.538076i | −0.0530182 | − | 0.0530182i | 0.680101 | − | 0.733119i | \(-0.261936\pi\) |
−0.733119 | + | 0.680101i | \(0.761936\pi\) | |||||||
\(104\) | 15.4045 | − | 2.65465i | 1.51053 | − | 0.260309i | ||||
\(105\) | 2.13601 | + | 16.7259i | 0.208453 | + | 1.63228i | ||||
\(106\) | −9.90957 | + | 6.49928i | −0.962502 | + | 0.631266i | ||||
\(107\) | −2.15177 | + | 2.15177i | −0.208019 | + | 0.208019i | −0.803425 | − | 0.595406i | \(-0.796991\pi\) |
0.595406 | + | 0.803425i | \(0.296991\pi\) | |||||||
\(108\) | 10.1241 | − | 3.99175i | 0.974190 | − | 0.384107i | ||||
\(109\) | − | 12.9951i | − | 1.24471i | −0.782737 | − | 0.622353i | \(-0.786177\pi\) | ||
0.782737 | − | 0.622353i | \(-0.213823\pi\) | |||||||
\(110\) | −14.4050 | − | 1.12436i | −1.37346 | − | 0.107203i | ||||
\(111\) | 6.96203i | 0.660807i | ||||||||
\(112\) | −18.4489 | − | 0.632338i | −1.74326 | − | 0.0597503i | ||||
\(113\) | 4.57006 | − | 4.57006i | 0.429915 | − | 0.429915i | −0.458685 | − | 0.888599i | \(-0.651679\pi\) |
0.888599 | + | 0.458685i | \(0.151679\pi\) | |||||||
\(114\) | −1.26732 | − | 1.93230i | −0.118695 | − | 0.180976i | ||||
\(115\) | −1.29950 | + | 1.68000i | −0.121179 | + | 0.156661i | ||||
\(116\) | −1.14277 | + | 2.63052i | −0.106104 | + | 0.244237i | ||||
\(117\) | 1.28984 | + | 1.28984i | 0.119246 | + | 0.119246i | ||||
\(118\) | −1.49323 | − | 0.310340i | −0.137463 | − | 0.0285692i | ||||
\(119\) | −24.0658 | −2.20611 | ||||||||
\(120\) | −9.87980 | + | 3.03101i | −0.901899 | + | 0.276692i | ||||
\(121\) | −9.87682 | −0.897892 | ||||||||
\(122\) | 15.2974 | + | 3.17929i | 1.38496 | + | 0.287839i | ||||
\(123\) | 4.06341 | + | 4.06341i | 0.366385 | + | 0.366385i | ||||
\(124\) | −1.67751 | + | 3.86141i | −0.150645 | + | 0.346765i | ||||
\(125\) | 4.15801 | + | 10.3784i | 0.371903 | + | 0.928271i | ||||
\(126\) | −1.18140 | − | 1.80130i | −0.105247 | − | 0.160472i | ||||
\(127\) | 6.46266 | − | 6.46266i | 0.573468 | − | 0.573468i | −0.359628 | − | 0.933096i | \(-0.617096\pi\) |
0.933096 | + | 0.359628i | \(0.117096\pi\) | |||||||
\(128\) | −1.53832 | − | 11.2086i | −0.135969 | − | 0.990713i | ||||
\(129\) | − | 3.45904i | − | 0.304551i | ||||||
\(130\) | −11.3587 | − | 13.2820i | −0.996224 | − | 1.16491i | ||||
\(131\) | 11.2765i | 0.985230i | 0.870247 | + | 0.492615i | \(0.163959\pi\) | ||||
−0.870247 | + | 0.492615i | \(0.836041\pi\) | |||||||
\(132\) | −13.8911 | + | 5.47701i | −1.20906 | + | 0.476713i | ||||
\(133\) | −3.26325 | + | 3.26325i | −0.282960 | + | 0.282960i | ||||
\(134\) | 2.16889 | − | 1.42249i | 0.187364 | − | 0.122884i | ||||
\(135\) | −9.62402 | − | 7.44427i | −0.828303 | − | 0.640701i | ||||
\(136\) | −2.50486 | − | 14.5353i | −0.214790 | − | 1.24639i | ||||
\(137\) | 4.91194 | + | 4.91194i | 0.419655 | + | 0.419655i | 0.885085 | − | 0.465430i | \(-0.154100\pi\) |
−0.465430 | + | 0.885085i | \(0.654100\pi\) | |||||||
\(138\) | −0.446634 | + | 2.14901i | −0.0380200 | + | 0.182936i | ||||
\(139\) | 13.9325 | 1.18174 | 0.590870 | − | 0.806767i | \(-0.298785\pi\) | ||||
0.590870 | + | 0.806767i | \(0.298785\pi\) | |||||||
\(140\) | 9.94152 | + | 18.0864i | 0.840212 | + | 1.52858i | ||||
\(141\) | −12.7088 | −1.07027 | ||||||||
\(142\) | −0.541902 | + | 2.60740i | −0.0454754 | + | 0.218808i | ||||
\(143\) | −17.8556 | − | 17.8556i | −1.49316 | − | 1.49316i | ||||
\(144\) | 0.964987 | − | 0.901029i | 0.0804156 | − | 0.0750858i | ||||
\(145\) | 3.18071 | − | 0.406200i | 0.264144 | − | 0.0337330i | ||||
\(146\) | 5.35348 | − | 3.51113i | 0.443057 | − | 0.290583i | ||||
\(147\) | 16.5196 | − | 16.5196i | 1.36252 | − | 1.36252i | ||||
\(148\) | 3.12569 | + | 7.92753i | 0.256930 | + | 0.651639i | ||||
\(149\) | 16.9391i | 1.38771i | 0.720116 | + | 0.693853i | \(0.244088\pi\) | ||||
−0.720116 | + | 0.693853i | \(0.755912\pi\) | |||||||
\(150\) | 8.56130 | + | 7.75894i | 0.699027 | + | 0.633514i | ||||
\(151\) | 23.4511i | 1.90842i | 0.299137 | + | 0.954210i | \(0.403301\pi\) | ||||
−0.299137 | + | 0.954210i | \(0.596699\pi\) | |||||||
\(152\) | −2.31060 | − | 1.63130i | −0.187414 | − | 0.132316i | ||||
\(153\) | 1.21707 | − | 1.21707i | 0.0983941 | − | 0.0983941i | ||||
\(154\) | 16.3543 | + | 24.9357i | 1.31787 | + | 2.00938i | ||||
\(155\) | 4.66906 | − | 0.596272i | 0.375028 | − | 0.0478937i | ||||
\(156\) | −16.5652 | − | 7.19640i | −1.32628 | − | 0.576173i | ||||
\(157\) | 14.2678 | + | 14.2678i | 1.13869 | + | 1.13869i | 0.988684 | + | 0.150010i | \(0.0479307\pi\) |
0.150010 | + | 0.988684i | \(0.452069\pi\) | |||||||
\(158\) | −2.87373 | − | 0.597253i | −0.228622 | − | 0.0475149i | ||||
\(159\) | 13.6925 | 1.08588 | ||||||||
\(160\) | −9.88914 | + | 7.88701i | −0.781805 | + | 0.623523i | ||||
\(161\) | 4.38351 | 0.345469 | ||||||||
\(162\) | −10.9398 | − | 2.27363i | −0.859508 | − | 0.178633i | ||||
\(163\) | 9.47832 | + | 9.47832i | 0.742400 | + | 0.742400i | 0.973039 | − | 0.230640i | \(-0.0740818\pi\) |
−0.230640 | + | 0.973039i | \(0.574082\pi\) | |||||||
\(164\) | 6.45125 | + | 2.80261i | 0.503758 | + | 0.218847i | ||||
\(165\) | 13.2049 | + | 10.2141i | 1.02800 | + | 0.795170i | ||||
\(166\) | 2.29069 | + | 3.49266i | 0.177792 | + | 0.271083i | ||||
\(167\) | 13.9319 | − | 13.9319i | 1.07808 | − | 1.07808i | 0.0814021 | − | 0.996681i | \(-0.474060\pi\) |
0.996681 | − | 0.0814021i | \(-0.0259398\pi\) | |||||||
\(168\) | 17.4237 | + | 12.3012i | 1.34427 | + | 0.949062i | ||||
\(169\) | − | 17.5432i | − | 1.34947i | ||||||
\(170\) | −12.5326 | + | 10.7178i | −0.961206 | + | 0.822019i | ||||
\(171\) | − | 0.330062i | − | 0.0252405i | ||||||
\(172\) | −1.55298 | − | 3.93874i | −0.118414 | − | 0.300326i | ||||
\(173\) | 1.27870 | − | 1.27870i | 0.0972178 | − | 0.0972178i | −0.656825 | − | 0.754043i | \(-0.728101\pi\) |
0.754043 | + | 0.656825i | \(0.228101\pi\) | |||||||
\(174\) | 2.77094 | − | 1.81735i | 0.210064 | − | 0.137773i | ||||
\(175\) | 11.6921 | − | 19.8931i | 0.883838 | − | 1.50378i | ||||
\(176\) | −13.3585 | + | 12.4731i | −1.00694 | + | 0.940198i | ||||
\(177\) | 1.24603 | + | 1.24603i | 0.0936575 | + | 0.0936575i | ||||
\(178\) | −3.15571 | + | 15.1839i | −0.236530 | + | 1.13808i | ||||
\(179\) | 3.98743 | 0.298034 | 0.149017 | − | 0.988835i | \(-0.452389\pi\) | ||||
0.149017 | + | 0.988835i | \(0.452389\pi\) | |||||||
\(180\) | −1.41744 | − | 0.411909i | −0.105650 | − | 0.0307019i | ||||
\(181\) | 19.3398 | 1.43752 | 0.718758 | − | 0.695261i | \(-0.244711\pi\) | ||||
0.718758 | + | 0.695261i | \(0.244711\pi\) | |||||||
\(182\) | −7.33952 | + | 35.3147i | −0.544042 | + | 2.61770i | ||||
\(183\) | −12.7650 | − | 12.7650i | −0.943615 | − | 0.943615i | ||||
\(184\) | 0.456253 | + | 2.64756i | 0.0336354 | + | 0.195181i | ||||
\(185\) | 5.82914 | − | 7.53596i | 0.428567 | − | 0.554055i | ||||
\(186\) | 4.06754 | − | 2.66773i | 0.298247 | − | 0.195608i | ||||
\(187\) | −16.8481 | + | 16.8481i | −1.23206 | + | 1.23206i | ||||
\(188\) | −14.4712 | + | 5.70576i | −1.05542 | + | 0.416136i | ||||
\(189\) | 25.1113i | 1.82658i | ||||||||
\(190\) | −0.246078 | + | 3.15269i | −0.0178524 | + | 0.228720i | ||||
\(191\) | − | 1.41454i | − | 0.102352i | −0.998690 | − | 0.0511761i | \(-0.983703\pi\) | ||
0.998690 | − | 0.0511761i | \(-0.0162970\pi\) | |||||||
\(192\) | −5.61621 | + | 11.8040i | −0.405315 | + | 0.851880i | ||||
\(193\) | −7.89499 | + | 7.89499i | −0.568294 | + | 0.568294i | −0.931650 | − | 0.363356i | \(-0.881631\pi\) |
0.363356 | + | 0.931650i | \(0.381631\pi\) | |||||||
\(194\) | −1.88803 | − | 2.87871i | −0.135553 | − | 0.206680i | ||||
\(195\) | 2.55797 | + | 20.0299i | 0.183180 | + | 1.43437i | ||||
\(196\) | 11.3939 | − | 26.2273i | 0.813850 | − | 1.87338i | ||||
\(197\) | −17.3505 | − | 17.3505i | −1.23617 | − | 1.23617i | −0.961554 | − | 0.274617i | \(-0.911449\pi\) |
−0.274617 | − | 0.961554i | \(-0.588551\pi\) | |||||||
\(198\) | −2.08814 | − | 0.433983i | −0.148398 | − | 0.0308418i | ||||
\(199\) | −22.0059 | −1.55996 | −0.779979 | − | 0.625805i | \(-0.784770\pi\) | ||||
−0.779979 | + | 0.625805i | \(0.784770\pi\) | |||||||
\(200\) | 13.2321 | + | 4.99125i | 0.935648 | + | 0.352935i | ||||
\(201\) | −2.99685 | −0.211382 | ||||||||
\(202\) | −21.3225 | − | 4.43151i | −1.50025 | − | 0.311800i | ||||
\(203\) | −4.67954 | − | 4.67954i | −0.328439 | − | 0.328439i | ||||
\(204\) | −6.79036 | + | 15.6305i | −0.475420 | + | 1.09436i | ||||
\(205\) | −0.996190 | − | 7.80059i | −0.0695769 | − | 0.544817i | ||||
\(206\) | 0.590192 | + | 0.899876i | 0.0411206 | + | 0.0626974i | ||||
\(207\) | −0.221685 | + | 0.221685i | −0.0154082 | + | 0.0154082i | ||||
\(208\) | −22.0934 | − | 0.757252i | −1.53190 | − | 0.0525060i | ||||
\(209\) | 4.56912i | 0.316052i | ||||||||
\(210\) | 1.85562 | − | 23.7737i | 0.128050 | − | 1.64054i | ||||
\(211\) | 13.2621i | 0.913002i | 0.889723 | + | 0.456501i | \(0.150898\pi\) | ||||
−0.889723 | + | 0.456501i | \(0.849102\pi\) | |||||||
\(212\) | 15.5913 | − | 6.14740i | 1.07082 | − | 0.422205i | ||||
\(213\) | 2.17576 | − | 2.17576i | 0.149081 | − | 0.149081i | ||||
\(214\) | 3.59860 | − | 2.36018i | 0.245995 | − | 0.161338i | ||||
\(215\) | −2.89617 | + | 3.74419i | −0.197517 | + | 0.255352i | ||||
\(216\) | −15.1668 | + | 2.61368i | −1.03197 | + | 0.177838i | ||||
\(217\) | −6.86923 | − | 6.86923i | −0.466314 | − | 0.466314i | ||||
\(218\) | −3.73960 | + | 17.9934i | −0.253278 | + | 1.21866i | ||||
\(219\) | −7.39712 | −0.499851 | ||||||||
\(220\) | 19.6220 | + | 5.70214i | 1.32291 | + | 0.384438i | ||||
\(221\) | −28.8198 | −1.93863 | ||||||||
\(222\) | 2.00346 | − | 9.63981i | 0.134464 | − | 0.646981i | ||||
\(223\) | −6.10795 | − | 6.10795i | −0.409019 | − | 0.409019i | 0.472378 | − | 0.881396i | \(-0.343396\pi\) |
−0.881396 | + | 0.472378i | \(0.843396\pi\) | |||||||
\(224\) | 25.3629 | + | 6.18459i | 1.69463 | + | 0.413225i | ||||
\(225\) | 0.414748 | + | 1.59734i | 0.0276499 | + | 0.106490i | ||||
\(226\) | −7.64294 | + | 5.01269i | −0.508401 | + | 0.333439i | ||||
\(227\) | 14.8986 | − | 14.8986i | 0.988853 | − | 0.988853i | −0.0110855 | − | 0.999939i | \(-0.503529\pi\) |
0.999939 | + | 0.0110855i | \(0.00352868\pi\) | |||||||
\(228\) | 1.19870 | + | 3.04021i | 0.0793860 | + | 0.201343i | ||||
\(229\) | 25.6102i | 1.69237i | 0.532888 | + | 0.846186i | \(0.321107\pi\) | ||||
−0.532888 | + | 0.846186i | \(0.678893\pi\) | |||||||
\(230\) | 2.28277 | − | 1.95222i | 0.150521 | − | 0.128725i | ||||
\(231\) | − | 34.4547i | − | 2.26695i | ||||||
\(232\) | 2.33930 | − | 3.31343i | 0.153582 | − | 0.217537i | ||||
\(233\) | 10.2855 | − | 10.2855i | 0.673827 | − | 0.673827i | −0.284769 | − | 0.958596i | \(-0.591917\pi\) |
0.958596 | + | 0.284769i | \(0.0919169\pi\) | |||||||
\(234\) | −1.41477 | − | 2.15713i | −0.0924866 | − | 0.141016i | ||||
\(235\) | 13.7565 | + | 10.6408i | 0.897372 | + | 0.694126i | ||||
\(236\) | 1.97825 | + | 0.859411i | 0.128773 | + | 0.0559429i | ||||
\(237\) | 2.39800 | + | 2.39800i | 0.155767 | + | 0.155767i | ||||
\(238\) | 33.3221 | + | 6.92541i | 2.15995 | + | 0.448908i | ||||
\(239\) | −3.19293 | −0.206534 | −0.103267 | − | 0.994654i | \(-0.532930\pi\) | ||||
−0.103267 | + | 0.994654i | \(0.532930\pi\) | |||||||
\(240\) | 14.5521 | − | 1.35370i | 0.939332 | − | 0.0873812i | ||||
\(241\) | −11.7591 | −0.757470 | −0.378735 | − | 0.925505i | \(-0.623641\pi\) | ||||
−0.378735 | + | 0.925505i | \(0.623641\pi\) | |||||||
\(242\) | 13.6757 | + | 2.84225i | 0.879107 | + | 0.182707i | ||||
\(243\) | −2.41401 | − | 2.41401i | −0.154859 | − | 0.154859i | ||||
\(244\) | −20.2662 | − | 8.80425i | −1.29741 | − | 0.563634i | ||||
\(245\) | −31.7130 | + | 4.04997i | −2.02607 | + | 0.258743i | ||||
\(246\) | −4.45698 | − | 6.79563i | −0.284167 | − | 0.433274i | ||||
\(247\) | −3.90789 | + | 3.90789i | −0.248653 | + | 0.248653i | ||||
\(248\) | 3.43392 | − | 4.86387i | 0.218054 | − | 0.308856i | ||||
\(249\) | − | 4.82595i | − | 0.305832i | ||||||
\(250\) | −2.77070 | − | 15.5667i | −0.175234 | − | 0.984527i | ||||
\(251\) | 14.5530i | 0.918575i | 0.888288 | + | 0.459287i | \(0.151895\pi\) | ||||
−0.888288 | + | 0.459287i | \(0.848105\pi\) | |||||||
\(252\) | 1.11743 | + | 2.83409i | 0.0703917 | + | 0.178531i | ||||
\(253\) | 3.06883 | − | 3.06883i | 0.192936 | − | 0.192936i | ||||
\(254\) | −10.8081 | + | 7.08861i | −0.678162 | + | 0.444779i | ||||
\(255\) | 18.8998 | − | 2.41364i | 1.18355 | − | 0.151148i | ||||
\(256\) | −1.09552 | + | 15.9625i | −0.0684697 | + | 0.997653i | ||||
\(257\) | −11.5648 | − | 11.5648i | −0.721392 | − | 0.721392i | 0.247496 | − | 0.968889i | \(-0.420392\pi\) |
−0.968889 | + | 0.247496i | \(0.920392\pi\) | |||||||
\(258\) | −0.995406 | + | 4.78947i | −0.0619713 | + | 0.298180i | ||||
\(259\) | −19.6631 | −1.22180 | ||||||||
\(260\) | 11.9054 | + | 21.6593i | 0.738342 | + | 1.34325i | ||||
\(261\) | 0.473312 | 0.0292973 | ||||||||
\(262\) | 3.24503 | − | 15.6137i | 0.200478 | − | 0.964618i | ||||
\(263\) | −0.240407 | − | 0.240407i | −0.0148241 | − | 0.0148241i | 0.699656 | − | 0.714480i | \(-0.253337\pi\) |
−0.714480 | + | 0.699656i | \(0.753337\pi\) | |||||||
\(264\) | 20.8100 | − | 3.58618i | 1.28077 | − | 0.220714i | ||||
\(265\) | −14.8212 | − | 11.4644i | −0.910461 | − | 0.704251i | ||||
\(266\) | 5.45745 | − | 3.57932i | 0.334618 | − | 0.219462i | ||||
\(267\) | 12.6703 | − | 12.6703i | 0.775411 | − | 0.775411i | ||||
\(268\) | −3.41246 | + | 1.34547i | −0.208449 | + | 0.0821879i | ||||
\(269\) | 5.22590i | 0.318629i | 0.987228 | + | 0.159314i | \(0.0509283\pi\) | ||||
−0.987228 | + | 0.159314i | \(0.949072\pi\) | |||||||
\(270\) | 11.1834 | + | 13.0770i | 0.680601 | + | 0.795843i | ||||
\(271\) | − | 10.0441i | − | 0.610137i | −0.952330 | − | 0.305069i | \(-0.901321\pi\) | ||
0.952330 | − | 0.305069i | \(-0.0986794\pi\) | |||||||
\(272\) | −0.714526 | + | 20.8468i | −0.0433245 | + | 1.26402i | ||||
\(273\) | 29.4685 | − | 29.4685i | 1.78352 | − | 1.78352i | ||||
\(274\) | −5.38769 | − | 8.21471i | −0.325482 | − | 0.496269i | ||||
\(275\) | −5.74145 | − | 22.1124i | −0.346222 | − | 1.33343i | ||||
\(276\) | 1.23684 | − | 2.84705i | 0.0744491 | − | 0.171372i | ||||
\(277\) | −1.69900 | − | 1.69900i | −0.102083 | − | 0.102083i | 0.654221 | − | 0.756304i | \(-0.272997\pi\) |
−0.756304 | + | 0.654221i | \(0.772997\pi\) | |||||||
\(278\) | −19.2913 | − | 4.00935i | −1.15702 | − | 0.240465i | ||||
\(279\) | 0.694788 | 0.0415959 | ||||||||
\(280\) | −8.56056 | − | 27.9038i | −0.511591 | − | 1.66757i | ||||
\(281\) | −8.96932 | −0.535065 | −0.267532 | − | 0.963549i | \(-0.586208\pi\) | ||||
−0.267532 | + | 0.963549i | \(0.586208\pi\) | |||||||
\(282\) | 17.5969 | + | 3.65720i | 1.04788 | + | 0.217783i | ||||
\(283\) | 10.6254 | + | 10.6254i | 0.631617 | + | 0.631617i | 0.948474 | − | 0.316856i | \(-0.102627\pi\) |
−0.316856 | + | 0.948474i | \(0.602627\pi\) | |||||||
\(284\) | 1.50066 | − | 3.45434i | 0.0890480 | − | 0.204977i | ||||
\(285\) | 2.23548 | − | 2.89004i | 0.132418 | − | 0.171191i | ||||
\(286\) | 19.5850 | + | 29.8616i | 1.15809 | + | 1.76575i | ||||
\(287\) | −11.4764 | + | 11.4764i | −0.677431 | + | 0.677431i | ||||
\(288\) | −1.59543 | + | 0.969894i | −0.0940119 | + | 0.0571516i | ||||
\(289\) | 10.1937i | 0.599632i | ||||||||
\(290\) | −4.52099 | − | 0.352878i | −0.265482 | − | 0.0207217i | ||||
\(291\) | 3.97764i | 0.233173i | ||||||||
\(292\) | −8.42296 | + | 3.32103i | −0.492917 | + | 0.194349i | ||||
\(293\) | 21.8787 | − | 21.8787i | 1.27817 | − | 1.27817i | 0.336476 | − | 0.941692i | \(-0.390765\pi\) |
0.941692 | − | 0.336476i | \(-0.109235\pi\) | |||||||
\(294\) | −27.6274 | + | 18.1197i | −1.61126 | + | 1.05676i | ||||
\(295\) | −0.305478 | − | 2.39202i | −0.0177856 | − | 0.139269i | ||||
\(296\) | −2.04661 | − | 11.8761i | −0.118957 | − | 0.690287i | ||||
\(297\) | 17.5800 | + | 17.5800i | 1.02010 | + | 1.02010i | ||||
\(298\) | 4.87457 | − | 23.4543i | 0.282376 | − | 1.35867i | ||||
\(299\) | 5.24944 | 0.303583 | ||||||||
\(300\) | −9.62141 | − | 13.2069i | −0.555492 | − | 0.762501i | ||||
\(301\) | 9.76946 | 0.563102 | ||||||||
\(302\) | 6.74850 | − | 32.4709i | 0.388333 | − | 1.86849i | ||||
\(303\) | 17.7927 | + | 17.7927i | 1.02216 | + | 1.02216i | ||||
\(304\) | 2.72988 | + | 2.92365i | 0.156569 | + | 0.167683i | ||||
\(305\) | 3.12948 | + | 24.5051i | 0.179193 | + | 1.40316i | ||||
\(306\) | −2.03542 | + | 1.33495i | −0.116357 | + | 0.0763139i | ||||
\(307\) | −16.5064 | + | 16.5064i | −0.942071 | + | 0.942071i | −0.998412 | − | 0.0563407i | \(-0.982057\pi\) |
0.0563407 | + | 0.998412i | \(0.482057\pi\) | |||||||
\(308\) | −15.4689 | − | 39.2329i | −0.881421 | − | 2.23550i | ||||
\(309\) | − | 1.24340i | − | 0.0707343i | ||||||
\(310\) | −6.63649 | − | 0.518000i | −0.376927 | − | 0.0294204i | ||||
\(311\) | − | 19.4406i | − | 1.10238i | −0.834381 | − | 0.551188i | \(-0.814175\pi\) | ||
0.834381 | − | 0.551188i | \(-0.185825\pi\) | |||||||
\(312\) | 20.8657 | + | 14.7313i | 1.18129 | + | 0.833994i | ||||
\(313\) | −8.63499 | + | 8.63499i | −0.488079 | + | 0.488079i | −0.907699 | − | 0.419621i | \(-0.862163\pi\) |
0.419621 | + | 0.907699i | \(0.362163\pi\) | |||||||
\(314\) | −15.6497 | − | 23.8614i | −0.883165 | − | 1.34658i | ||||
\(315\) | 2.08392 | − | 2.69411i | 0.117415 | − | 0.151796i | ||||
\(316\) | 3.80717 | + | 1.65394i | 0.214170 | + | 0.0930416i | ||||
\(317\) | 13.6017 | + | 13.6017i | 0.763949 | + | 0.763949i | 0.977034 | − | 0.213085i | \(-0.0683510\pi\) |
−0.213085 | + | 0.977034i | \(0.568351\pi\) | |||||||
\(318\) | −18.9589 | − | 3.94027i | −1.06316 | − | 0.220960i | ||||
\(319\) | −6.55216 | −0.366850 | ||||||||
\(320\) | 15.9624 | − | 8.07477i | 0.892325 | − | 0.451393i | ||||
\(321\) | −4.97234 | −0.277529 | ||||||||
\(322\) | −6.06952 | − | 1.26144i | −0.338241 | − | 0.0702974i | ||||
\(323\) | 3.68739 | + | 3.68739i | 0.205172 | + | 0.205172i | ||||
\(324\) | 14.4932 | + | 6.29626i | 0.805177 | + | 0.349792i | ||||
\(325\) | 14.0018 | − | 23.8229i | 0.776678 | − | 1.32146i | ||||
\(326\) | −10.3964 | − | 15.8515i | −0.575801 | − | 0.877934i | ||||
\(327\) | 15.0147 | − | 15.0147i | 0.830313 | − | 0.830313i | ||||
\(328\) | −8.12606 | − | 5.73704i | −0.448687 | − | 0.316775i | ||||
\(329\) | − | 35.8938i | − | 1.97889i | ||||||
\(330\) | −15.3446 | − | 17.9428i | −0.844691 | − | 0.987716i | ||||
\(331\) | 21.6643i | 1.19078i | 0.803437 | + | 0.595390i | \(0.203002\pi\) | ||||
−0.803437 | + | 0.595390i | \(0.796998\pi\) | |||||||
\(332\) | −2.16667 | − | 5.49522i | −0.118912 | − | 0.301589i | ||||
\(333\) | 0.994410 | − | 0.994410i | 0.0544934 | − | 0.0544934i | ||||
\(334\) | −23.2997 | + | 15.2813i | −1.27490 | + | 0.836155i | ||||
\(335\) | 3.24390 | + | 2.50919i | 0.177233 | + | 0.137092i | ||||
\(336\) | −20.5854 | − | 22.0466i | −1.12303 | − | 1.20274i | ||||
\(337\) | 0.169255 | + | 0.169255i | 0.00921991 | + | 0.00921991i | 0.711702 | − | 0.702482i | \(-0.247925\pi\) |
−0.702482 | + | 0.711702i | \(0.747925\pi\) | |||||||
\(338\) | −5.04839 | + | 24.2907i | −0.274596 | + | 1.32124i | ||||
\(339\) | 10.5606 | 0.573571 | ||||||||
\(340\) | 20.4372 | − | 11.2337i | 1.10836 | − | 0.609231i | ||||
\(341\) | −9.61810 | −0.520849 | ||||||||
\(342\) | −0.0949818 | + | 0.457012i | −0.00513603 | + | 0.0247124i | ||||
\(343\) | 23.8141 | + | 23.8141i | 1.28584 | + | 1.28584i | ||||
\(344\) | 1.01684 | + | 5.90058i | 0.0548246 | + | 0.318138i | ||||
\(345\) | −3.44254 | + | 0.439637i | −0.185340 | + | 0.0236692i | ||||
\(346\) | −2.13849 | + | 1.40255i | −0.114966 | + | 0.0754016i | ||||
\(347\) | −22.3067 | + | 22.3067i | −1.19749 | + | 1.19749i | −0.222569 | + | 0.974917i | \(0.571444\pi\) |
−0.974917 | + | 0.222569i | \(0.928556\pi\) | |||||||
\(348\) | −4.35969 | + | 1.71895i | −0.233704 | + | 0.0921455i | ||||
\(349\) | 19.1551i | 1.02535i | 0.858583 | + | 0.512674i | \(0.171345\pi\) | ||||
−0.858583 | + | 0.512674i | \(0.828655\pi\) | |||||||
\(350\) | −21.9138 | + | 24.1799i | −1.17134 | + | 1.29247i | ||||
\(351\) | 30.0718i | 1.60512i | ||||||||
\(352\) | 22.0859 | − | 13.4264i | 1.17718 | − | 0.715632i | ||||
\(353\) | 0.692765 | − | 0.692765i | 0.0368721 | − | 0.0368721i | −0.688430 | − | 0.725302i | \(-0.741700\pi\) |
0.725302 | + | 0.688430i | \(0.241700\pi\) | |||||||
\(354\) | −1.36672 | − | 2.08386i | −0.0726402 | − | 0.110756i | ||||
\(355\) | −4.17684 | + | 0.533412i | −0.221684 | + | 0.0283106i | ||||
\(356\) | 8.73896 | − | 20.1160i | 0.463164 | − | 1.06614i | ||||
\(357\) | −27.8058 | − | 27.8058i | −1.47164 | − | 1.47164i | ||||
\(358\) | −5.52109 | − | 1.14746i | −0.291799 | − | 0.0606452i | ||||
\(359\) | −13.0487 | −0.688684 | −0.344342 | − | 0.938844i | \(-0.611898\pi\) | ||||
−0.344342 | + | 0.938844i | \(0.611898\pi\) | |||||||
\(360\) | 1.84409 | + | 0.978237i | 0.0971923 | + | 0.0515576i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −26.7784 | − | 5.56541i | −1.40744 | − | 0.292511i | ||||
\(363\) | −11.4118 | − | 11.4118i | −0.598962 | − | 0.598962i | ||||
\(364\) | 20.3250 | − | 46.7855i | 1.06532 | − | 2.45223i | ||||
\(365\) | 8.00692 | + | 6.19343i | 0.419101 | + | 0.324179i | ||||
\(366\) | 14.0014 | + | 21.3481i | 0.731862 | + | 1.11588i | ||||
\(367\) | 12.7436 | − | 12.7436i | 0.665208 | − | 0.665208i | −0.291395 | − | 0.956603i | \(-0.594119\pi\) |
0.956603 | + | 0.291395i | \(0.0941193\pi\) | |||||||
\(368\) | 0.130149 | − | 3.79718i | 0.00678447 | − | 0.197942i | ||||
\(369\) | − | 1.16078i | − | 0.0604279i | ||||||
\(370\) | −10.2398 | + | 8.75704i | −0.532342 | + | 0.455257i | ||||
\(371\) | 38.6720i | 2.00775i | ||||||||
\(372\) | −6.39971 | + | 2.52330i | −0.331810 | + | 0.130827i | ||||
\(373\) | 15.6699 | − | 15.6699i | 0.811354 | − | 0.811354i | −0.173483 | − | 0.984837i | \(-0.555502\pi\) |
0.984837 | + | 0.173483i | \(0.0555021\pi\) | |||||||
\(374\) | 28.1767 | − | 18.4800i | 1.45698 | − | 0.955576i | ||||
\(375\) | −7.18709 | + | 16.7955i | −0.371139 | + | 0.867315i | ||||
\(376\) | 21.6792 | − | 3.73596i | 1.11802 | − | 0.192668i | ||||
\(377\) | −5.60395 | − | 5.60395i | −0.288618 | − | 0.288618i | ||||
\(378\) | 7.22626 | − | 34.7697i | 0.371679 | − | 1.78836i | ||||
\(379\) | 4.20942 | 0.216223 | 0.108112 | − | 0.994139i | \(-0.465520\pi\) | ||||
0.108112 | + | 0.994139i | \(0.465520\pi\) | |||||||
\(380\) | 1.24797 | − | 4.29448i | 0.0640197 | − | 0.220302i | ||||
\(381\) | 14.9340 | 0.765093 | ||||||||
\(382\) | −0.407061 | + | 1.95860i | −0.0208270 | + | 0.100211i | ||||
\(383\) | −23.3914 | − | 23.3914i | −1.19524 | − | 1.19524i | −0.975574 | − | 0.219671i | \(-0.929502\pi\) |
−0.219671 | − | 0.975574i | \(-0.570498\pi\) | |||||||
\(384\) | 11.1732 | − | 14.7279i | 0.570179 | − | 0.751582i | ||||
\(385\) | −28.8481 | + | 37.2951i | −1.47024 | + | 1.90073i | ||||
\(386\) | 13.2036 | − | 8.65967i | 0.672043 | − | 0.440766i | ||||
\(387\) | −0.494066 | + | 0.494066i | −0.0251148 | + | 0.0251148i | ||||
\(388\) | 1.78581 | + | 4.52926i | 0.0906608 | + | 0.229938i | ||||
\(389\) | − | 12.7135i | − | 0.644603i | −0.946637 | − | 0.322301i | \(-0.895544\pi\) | ||
0.946637 | − | 0.322301i | \(-0.104456\pi\) | |||||||
\(390\) | 2.22218 | − | 28.4701i | 0.112525 | − | 1.44164i | ||||
\(391\) | − | 4.95325i | − | 0.250497i | ||||||
\(392\) | −23.3237 | + | 33.0362i | −1.17802 | + | 1.66858i | ||||
\(393\) | −13.0289 | + | 13.0289i | −0.657223 | + | 0.657223i | ||||
\(394\) | 19.0310 | + | 29.0169i | 0.958767 | + | 1.46185i | ||||
\(395\) | −0.587896 | − | 4.60347i | −0.0295803 | − | 0.231626i | ||||
\(396\) | 2.76641 | + | 1.20181i | 0.139017 | + | 0.0603931i | ||||
\(397\) | 25.9638 | + | 25.9638i | 1.30308 | + | 1.30308i | 0.926302 | + | 0.376783i | \(0.122970\pi\) |
0.376783 | + | 0.926302i | \(0.377030\pi\) | |||||||
\(398\) | 30.4700 | + | 6.33264i | 1.52732 | + | 0.317426i | ||||
\(399\) | −7.54078 | −0.377511 | ||||||||
\(400\) | −16.8851 | − | 10.7188i | −0.844256 | − | 0.535940i | ||||
\(401\) | 11.2570 | 0.562146 | 0.281073 | − | 0.959686i | \(-0.409310\pi\) | ||||
0.281073 | + | 0.959686i | \(0.409310\pi\) | |||||||
\(402\) | 4.14952 | + | 0.862403i | 0.206959 | + | 0.0430127i | ||||
\(403\) | −8.22620 | − | 8.22620i | −0.409776 | − | 0.409776i | ||||
\(404\) | 28.2485 | + | 12.2720i | 1.40541 | + | 0.610553i | ||||
\(405\) | −2.23801 | − | 17.5246i | −0.111208 | − | 0.870803i | ||||
\(406\) | 5.13278 | + | 7.82604i | 0.254736 | + | 0.388400i | ||||
\(407\) | −13.7658 | + | 13.7658i | −0.682347 | + | 0.682347i | ||||
\(408\) | 13.9001 | − | 19.6884i | 0.688157 | − | 0.974720i | ||||
\(409\) | 31.3473i | 1.55003i | 0.631945 | + | 0.775013i | \(0.282257\pi\) | ||||
−0.631945 | + | 0.775013i | \(0.717743\pi\) | |||||||
\(410\) | −0.865422 | + | 11.0876i | −0.0427401 | + | 0.547576i | ||||
\(411\) | 11.3506i | 0.559884i | ||||||||
\(412\) | −0.558238 | − | 1.41583i | −0.0275024 | − | 0.0697530i | ||||
\(413\) | −3.51920 | + | 3.51920i | −0.173169 | + | 0.173169i | ||||
\(414\) | 0.370745 | − | 0.243157i | 0.0182211 | − | 0.0119505i | ||||
\(415\) | −4.04066 | + | 5.22379i | −0.198348 | + | 0.256426i | ||||
\(416\) | 30.3731 | + | 7.40631i | 1.48917 | + | 0.363124i | ||||
\(417\) | 16.0977 | + | 16.0977i | 0.788310 | + | 0.788310i | ||||
\(418\) | 1.31485 | − | 6.32652i | 0.0643116 | − | 0.309440i | ||||
\(419\) | 14.6694 | 0.716648 | 0.358324 | − | 0.933597i | \(-0.383348\pi\) | ||||
0.358324 | + | 0.933597i | \(0.383348\pi\) | |||||||
\(420\) | −9.41070 | + | 32.3837i | −0.459195 | + | 1.58016i | ||||
\(421\) | −2.62268 | −0.127822 | −0.0639108 | − | 0.997956i | \(-0.520357\pi\) | ||||
−0.0639108 | + | 0.997956i | \(0.520357\pi\) | |||||||
\(422\) | 3.81644 | − | 18.3631i | 0.185781 | − | 0.893901i | ||||
\(423\) | 1.81524 | + | 1.81524i | 0.0882599 | + | 0.0882599i | ||||
\(424\) | −23.3572 | + | 4.02513i | −1.13433 | + | 0.195478i | ||||
\(425\) | −22.4787 | − | 13.2117i | −1.09038 | − | 0.640864i | ||||
\(426\) | −3.63874 | + | 2.38650i | −0.176297 | + | 0.115626i | ||||
\(427\) | 36.0525 | − | 36.0525i | 1.74470 | − | 1.74470i | ||||
\(428\) | −5.66191 | + | 2.23239i | −0.273679 | + | 0.107907i | ||||
\(429\) | − | 41.2610i | − | 1.99210i | ||||||
\(430\) | 5.08758 | − | 4.35087i | 0.245345 | − | 0.209818i | ||||
\(431\) | − | 16.4900i | − | 0.794295i | −0.917755 | − | 0.397148i | \(-0.870000\pi\) | ||
0.917755 | − | 0.397148i | \(-0.130000\pi\) | |||||||
\(432\) | 21.7524 | + | 0.745567i | 1.04656 | + | 0.0358711i | ||||
\(433\) | −2.04849 | + | 2.04849i | −0.0984443 | + | 0.0984443i | −0.754614 | − | 0.656169i | \(-0.772176\pi\) |
0.656169 | + | 0.754614i | \(0.272176\pi\) | |||||||
\(434\) | 7.53456 | + | 11.4881i | 0.361670 | + | 0.551445i | ||||
\(435\) | 4.14435 | + | 3.20570i | 0.198706 | + | 0.153701i | ||||
\(436\) | 10.3559 | − | 23.8379i | 0.495957 | − | 1.14163i | ||||
\(437\) | −0.671647 | − | 0.671647i | −0.0321292 | − | 0.0321292i | ||||
\(438\) | 10.2422 | + | 2.12867i | 0.489393 | + | 0.101712i | ||||
\(439\) | 21.5207 | 1.02712 | 0.513562 | − | 0.858052i | \(-0.328325\pi\) | ||||
0.513562 | + | 0.858052i | \(0.328325\pi\) | |||||||
\(440\) | −25.5282 | − | 13.5419i | −1.21701 | − | 0.645587i | ||||
\(441\) | −4.71911 | −0.224719 | ||||||||
\(442\) | 39.9047 | + | 8.29347i | 1.89807 | + | 0.394480i | ||||
\(443\) | −3.24964 | − | 3.24964i | −0.154395 | − | 0.154395i | 0.625683 | − | 0.780078i | \(-0.284820\pi\) |
−0.780078 | + | 0.625683i | \(0.784820\pi\) | |||||||
\(444\) | −5.54809 | + | 12.7710i | −0.263301 | + | 0.606084i | ||||
\(445\) | −24.3234 | + | 3.10627i | −1.15304 | + | 0.147251i | ||||
\(446\) | 6.69954 | + | 10.2149i | 0.317233 | + | 0.483690i | ||||
\(447\) | −19.5716 | + | 19.5716i | −0.925705 | + | 0.925705i | ||||
\(448\) | −33.3384 | − | 15.8620i | −1.57509 | − | 0.749410i | ||||
\(449\) | 37.4922i | 1.76937i | 0.466193 | + | 0.884683i | \(0.345625\pi\) | ||||
−0.466193 | + | 0.884683i | \(0.654375\pi\) | |||||||
\(450\) | −0.114604 | − | 2.33107i | −0.00540249 | − | 0.109888i | ||||
\(451\) | 16.0689i | 0.756657i | ||||||||
\(452\) | 12.0251 | − | 4.74130i | 0.565614 | − | 0.223012i | ||||
\(453\) | −27.0956 | + | 27.0956i | −1.27306 | + | 1.27306i | ||||
\(454\) | −24.9163 | + | 16.3416i | −1.16938 | + | 0.766949i | ||||
\(455\) | −56.5711 | + | 7.22454i | −2.65210 | + | 0.338691i | ||||
\(456\) | −0.784875 | − | 4.55450i | −0.0367551 | − | 0.213284i | ||||
\(457\) | 4.61218 | + | 4.61218i | 0.215749 | + | 0.215749i | 0.806704 | − | 0.590956i | \(-0.201249\pi\) |
−0.590956 | + | 0.806704i | \(0.701249\pi\) | |||||||
\(458\) | 7.36985 | − | 35.4606i | 0.344370 | − | 1.65696i | ||||
\(459\) | 28.3751 | 1.32444 | ||||||||
\(460\) | −3.72257 | + | 2.04618i | −0.173566 | + | 0.0954035i | ||||
\(461\) | 15.1656 | 0.706330 | 0.353165 | − | 0.935561i | \(-0.385105\pi\) | ||||
0.353165 | + | 0.935561i | \(0.385105\pi\) | |||||||
\(462\) | −9.91502 | + | 47.7069i | −0.461289 | + | 2.21952i | ||||
\(463\) | −23.1697 | − | 23.1697i | −1.07679 | − | 1.07679i | −0.996795 | − | 0.0799921i | \(-0.974510\pi\) |
−0.0799921 | − | 0.996795i | \(-0.525490\pi\) | |||||||
\(464\) | −4.19255 | + | 3.91468i | −0.194634 | + | 0.181734i | ||||
\(465\) | 6.08361 | + | 4.70573i | 0.282121 | + | 0.218223i | ||||
\(466\) | −17.2015 | + | 11.2817i | −0.796842 | + | 0.522616i | ||||
\(467\) | −20.1047 | + | 20.1047i | −0.930336 | + | 0.930336i | −0.997727 | − | 0.0673906i | \(-0.978533\pi\) |
0.0673906 | + | 0.997727i | \(0.478533\pi\) | |||||||
\(468\) | 1.33818 | + | 3.39395i | 0.0618572 | + | 0.156885i | ||||
\(469\) | − | 8.46409i | − | 0.390835i | ||||||
\(470\) | −15.9855 | − | 18.6922i | −0.737354 | − | 0.862205i | ||||
\(471\) | 32.9703i | 1.51919i | ||||||||
\(472\) | −2.49183 | − | 1.75924i | −0.114696 | − | 0.0809758i | ||||
\(473\) | 6.83946 | − | 6.83946i | 0.314479 | − | 0.314479i | ||||
\(474\) | −2.63026 | − | 4.01040i | −0.120812 | − | 0.184204i | ||||
\(475\) | −4.83953 | + | 1.25658i | −0.222053 | + | 0.0576557i | ||||
\(476\) | −44.1458 | − | 19.1782i | −2.02342 | − | 0.879031i | ||||
\(477\) | −1.95574 | − | 1.95574i | −0.0895472 | − | 0.0895472i | ||||
\(478\) | 4.42102 | + | 0.918829i | 0.202213 | + | 0.0420263i | ||||
\(479\) | −10.8855 | −0.497370 | −0.248685 | − | 0.968584i | \(-0.579998\pi\) | ||||
−0.248685 | + | 0.968584i | \(0.579998\pi\) | |||||||
\(480\) | −20.5387 | − | 2.31327i | −0.937460 | − | 0.105586i | ||||
\(481\) | −23.5474 | −1.07367 | ||||||||
\(482\) | 16.2820 | + | 3.38391i | 0.741623 | + | 0.154133i | ||||
\(483\) | 5.06474 | + | 5.06474i | 0.230454 | + | 0.230454i | ||||
\(484\) | −18.1178 | − | 7.87090i | −0.823537 | − | 0.357768i | ||||
\(485\) | 3.33038 | − | 4.30554i | 0.151225 | − | 0.195505i | ||||
\(486\) | 2.64782 | + | 4.03718i | 0.120108 | + | 0.183130i | ||||
\(487\) | 21.7783 | − | 21.7783i | 0.986867 | − | 0.986867i | −0.0130478 | − | 0.999915i | \(-0.504153\pi\) |
0.999915 | + | 0.0130478i | \(0.00415338\pi\) | |||||||
\(488\) | 25.5276 | + | 18.0226i | 1.15558 | + | 0.815845i | ||||
\(489\) | 21.9027i | 0.990473i | ||||||||
\(490\) | 45.0760 | + | 3.51834i | 2.03633 | + | 0.158942i | ||||
\(491\) | 2.46368i | 0.111185i | 0.998454 | + | 0.0555923i | \(0.0177047\pi\) | ||||
−0.998454 | + | 0.0555923i | \(0.982295\pi\) | |||||||
\(492\) | 4.21567 | + | 10.6920i | 0.190057 | + | 0.482032i | ||||
\(493\) | −5.28776 | + | 5.28776i | −0.238149 | + | 0.238149i | ||||
\(494\) | 6.53553 | − | 4.28639i | 0.294047 | − | 0.192854i | ||||
\(495\) | −0.427184 | − | 3.34503i | −0.0192005 | − | 0.150348i | ||||
\(496\) | −6.15437 | + | 5.74647i | −0.276339 | + | 0.258024i | ||||
\(497\) | 6.14507 | + | 6.14507i | 0.275644 | + | 0.275644i | ||||
\(498\) | −1.38876 | + | 6.68214i | −0.0622320 | + | 0.299434i | ||||
\(499\) | −23.3731 | −1.04632 | −0.523161 | − | 0.852234i | \(-0.675247\pi\) | ||||
−0.523161 | + | 0.852234i | \(0.675247\pi\) | |||||||
\(500\) | −0.643257 | + | 22.3514i | −0.0287673 | + | 0.999586i | ||||
\(501\) | 32.1941 | 1.43833 | ||||||||
\(502\) | 4.18790 | − | 20.1504i | 0.186915 | − | 0.899357i | ||||
\(503\) | 10.6038 | + | 10.6038i | 0.472800 | + | 0.472800i | 0.902820 | − | 0.430019i | \(-0.141493\pi\) |
−0.430019 | + | 0.902820i | \(0.641493\pi\) | |||||||
\(504\) | −0.731663 | − | 4.24572i | −0.0325908 | − | 0.189119i | ||||
\(505\) | −4.36208 | − | 34.1569i | −0.194110 | − | 1.51996i | ||||
\(506\) | −5.13230 | + | 3.36607i | −0.228159 | + | 0.149640i | ||||
\(507\) | 20.2695 | − | 20.2695i | 0.900201 | − | 0.900201i | ||||
\(508\) | 17.0051 | − | 6.70482i | 0.754479 | − | 0.297478i | ||||
\(509\) | − | 17.1016i | − | 0.758015i | −0.925394 | − | 0.379007i | \(-0.876266\pi\) | ||
0.925394 | − | 0.379007i | \(-0.123734\pi\) | |||||||
\(510\) | −26.8637 | − | 2.09680i | −1.18955 | − | 0.0928480i | ||||
\(511\) | − | 20.8919i | − | 0.924203i | ||||||
\(512\) | 6.11039 | − | 21.7868i | 0.270044 | − | 0.962848i | ||||
\(513\) | 3.84758 | − | 3.84758i | 0.169875 | − | 0.169875i | ||||
\(514\) | 12.6849 | + | 19.3409i | 0.559508 | + | 0.853091i | ||||
\(515\) | −1.04107 | + | 1.34590i | −0.0458748 | + | 0.0593074i | ||||
\(516\) | 2.75653 | − | 6.34518i | 0.121349 | − | 0.279331i | ||||
\(517\) | −25.1287 | − | 25.1287i | −1.10516 | − | 1.10516i | ||||
\(518\) | 27.2260 | + | 5.65843i | 1.19624 | + | 0.248617i | ||||
\(519\) | 2.95484 | 0.129703 | ||||||||
\(520\) | −10.2516 | − | 33.4160i | −0.449564 | − | 1.46539i | ||||
\(521\) | −4.34873 | −0.190521 | −0.0952606 | − | 0.995452i | \(-0.530368\pi\) | ||||
−0.0952606 | + | 0.995452i | \(0.530368\pi\) | |||||||
\(522\) | −0.655360 | − | 0.136205i | −0.0286843 | − | 0.00596153i | ||||
\(523\) | −27.4034 | − | 27.4034i | −1.19827 | − | 1.19827i | −0.974685 | − | 0.223581i | \(-0.928225\pi\) |
−0.223581 | − | 0.974685i | \(-0.571775\pi\) | |||||||
\(524\) | −8.98630 | + | 20.6853i | −0.392568 | + | 0.903642i | ||||
\(525\) | 36.4938 | − | 9.47558i | 1.59272 | − | 0.413548i | ||||
\(526\) | 0.263692 | + | 0.402056i | 0.0114975 | + | 0.0175305i | ||||
\(527\) | −7.76206 | + | 7.76206i | −0.338120 | + | 0.338120i | ||||
\(528\) | −29.8461 | − | 1.02298i | −1.29889 | − | 0.0445194i | ||||
\(529\) | − | 22.0978i | − | 0.960773i | ||||||
\(530\) | 17.2228 | + | 20.1390i | 0.748109 | + | 0.874781i | ||||
\(531\) | − | 0.355950i | − | 0.0154469i | ||||||
\(532\) | −8.58655 | + | 3.38553i | −0.372274 | + | 0.146781i | ||||
\(533\) | −13.7435 | + | 13.7435i | −0.595297 | + | 0.595297i | ||||
\(534\) | −21.1898 | + | 13.8975i | −0.916972 | + | 0.601405i | ||||
\(535\) | 5.38224 | + | 4.16322i | 0.232695 | + | 0.179992i | ||||
\(536\) | 5.11216 | − | 0.880976i | 0.220812 | − | 0.0380524i | ||||
\(537\) | 4.60711 | + | 4.60711i | 0.198811 | + | 0.198811i | ||||
\(538\) | 1.50386 | − | 7.23591i | 0.0648358 | − | 0.311962i | ||||
\(539\) | 65.3276 | 2.81386 | ||||||||
\(540\) | −11.7217 | − | 21.3250i | −0.504421 | − | 0.917684i | ||||
\(541\) | 15.7990 | 0.679254 | 0.339627 | − | 0.940560i | \(-0.389699\pi\) | ||||
0.339627 | + | 0.940560i | \(0.389699\pi\) | |||||||
\(542\) | −2.89040 | + | 13.9074i | −0.124153 | + | 0.597372i | ||||
\(543\) | 22.3454 | + | 22.3454i | 0.958931 | + | 0.958931i | ||||
\(544\) | 6.98843 | − | 28.6594i | 0.299626 | − | 1.22876i | ||||
\(545\) | −28.8239 | + | 3.68101i | −1.23468 | + | 0.157677i | ||||
\(546\) | −49.2830 | + | 32.3227i | −2.10912 | + | 1.38329i | ||||
\(547\) | 15.7388 | − | 15.7388i | 0.672943 | − | 0.672943i | −0.285450 | − | 0.958394i | \(-0.592143\pi\) |
0.958394 | + | 0.285450i | \(0.0921432\pi\) | |||||||
\(548\) | 5.09599 | + | 12.9247i | 0.217690 | + | 0.552116i | ||||
\(549\) | 3.64653i | 0.155630i | ||||||||
\(550\) | 1.58649 | + | 32.2695i | 0.0676482 | + | 1.37598i | ||||
\(551\) | 1.43401i | 0.0610909i | ||||||||
\(552\) | −2.53186 | + | 3.58618i | −0.107763 | + | 0.152638i | ||||
\(553\) | −6.77274 | + | 6.77274i | −0.288006 | + | 0.288006i | ||||
\(554\) | 1.86356 | + | 2.84140i | 0.0791749 | + | 0.120719i | ||||
\(555\) | 15.4422 | − | 1.97207i | 0.655483 | − | 0.0837098i | ||||
\(556\) | 25.5575 | + | 11.1029i | 1.08388 | + | 0.470868i | ||||
\(557\) | −17.9451 | − | 17.9451i | −0.760359 | − | 0.760359i | 0.216029 | − | 0.976387i | \(-0.430690\pi\) |
−0.976387 | + | 0.216029i | \(0.930690\pi\) | |||||||
\(558\) | −0.962022 | − | 0.199939i | −0.0407256 | − | 0.00846410i | ||||
\(559\) | 11.6993 | 0.494830 | ||||||||
\(560\) | 3.82330 | + | 41.0998i | 0.161564 | + | 1.73678i | ||||
\(561\) | −38.9329 | −1.64375 | ||||||||
\(562\) | 12.4192 | + | 2.58110i | 0.523870 | + | 0.108877i | ||||
\(563\) | 20.3784 | + | 20.3784i | 0.858847 | + | 0.858847i | 0.991202 | − | 0.132355i | \(-0.0422540\pi\) |
−0.132355 | + | 0.991202i | \(0.542254\pi\) | |||||||
\(564\) | −23.3127 | − | 10.1277i | −0.981641 | − | 0.426453i | ||||
\(565\) | −11.4311 | − | 8.84211i | −0.480912 | − | 0.371990i | ||||
\(566\) | −11.6546 | − | 17.7699i | −0.489879 | − | 0.746927i | ||||
\(567\) | −25.7826 | + | 25.7826i | −1.08277 | + | 1.08277i | ||||
\(568\) | −3.07191 | + | 4.35112i | −0.128895 | + | 0.182569i | ||||
\(569\) | − | 15.5685i | − | 0.652665i | −0.945255 | − | 0.326333i | \(-0.894187\pi\) | ||
0.945255 | − | 0.326333i | \(-0.105813\pi\) | |||||||
\(570\) | −3.92696 | + | 3.35832i | −0.164482 | + | 0.140665i | ||||
\(571\) | − | 21.2800i | − | 0.890540i | −0.895396 | − | 0.445270i | \(-0.853108\pi\) | ||
0.895396 | − | 0.445270i | \(-0.146892\pi\) | |||||||
\(572\) | −18.5246 | − | 46.9831i | −0.774554 | − | 1.96446i | ||||
\(573\) | 1.63437 | − | 1.63437i | 0.0682767 | − | 0.0682767i | ||||
\(574\) | 19.1931 | − | 12.5880i | 0.801104 | − | 0.525412i | ||||
\(575\) | 4.09443 | + | 2.40648i | 0.170750 | + | 0.100357i | ||||
\(576\) | 2.48819 | − | 0.883823i | 0.103674 | − | 0.0368259i | ||||
\(577\) | 7.89632 | + | 7.89632i | 0.328728 | + | 0.328728i | 0.852103 | − | 0.523375i | \(-0.175327\pi\) |
−0.523375 | + | 0.852103i | \(0.675327\pi\) | |||||||
\(578\) | 2.93345 | − | 14.1145i | 0.122015 | − | 0.587086i | ||||
\(579\) | −18.2439 | −0.758190 | ||||||||
\(580\) | 6.15833 | + | 1.78961i | 0.255711 | + | 0.0743094i | ||||
\(581\) | 13.6301 | 0.565471 | ||||||||
\(582\) | 1.14464 | − | 5.50754i | 0.0474470 | − | 0.228295i | ||||
\(583\) | 27.0737 | + | 27.0737i | 1.12128 | + | 1.12128i | ||||
\(584\) | 12.6183 | − | 2.17451i | 0.522151 | − | 0.0899819i | ||||
\(585\) | 2.49558 | − | 3.22631i | 0.103180 | − | 0.133391i | ||||
\(586\) | −36.5899 | + | 23.9978i | −1.51151 | + | 0.991340i | ||||
\(587\) | 20.8805 | − | 20.8805i | 0.861831 | − | 0.861831i | −0.129720 | − | 0.991551i | \(-0.541408\pi\) |
0.991551 | + | 0.129720i | \(0.0414079\pi\) | |||||||
\(588\) | 43.4678 | − | 17.1386i | 1.79258 | − | 0.706785i | ||||
\(589\) | 2.10503i | 0.0867361i | ||||||||
\(590\) | −0.265379 | + | 3.39997i | −0.0109255 | + | 0.139974i | ||||
\(591\) | − | 40.0938i | − | 1.64924i | ||||||
\(592\) | −0.583806 | + | 17.0330i | −0.0239943 | + | 0.700051i | ||||
\(593\) | 4.40488 | − | 4.40488i | 0.180887 | − | 0.180887i | −0.610855 | − | 0.791742i | \(-0.709174\pi\) |
0.791742 | + | 0.610855i | \(0.209174\pi\) | |||||||
\(594\) | −19.2828 | − | 29.4008i | −0.791182 | − | 1.20633i | ||||
\(595\) | 6.81691 | + | 53.3792i | 0.279466 | + | 2.18834i | ||||
\(596\) | −13.4989 | + | 31.0727i | −0.552936 | + | 1.27279i | ||||
\(597\) | −25.4258 | − | 25.4258i | −1.04061 | − | 1.04061i | ||||
\(598\) | −7.26851 | − | 1.51063i | −0.297232 | − | 0.0617743i | ||||
\(599\) | −22.4494 | −0.917256 | −0.458628 | − | 0.888628i | \(-0.651659\pi\) | ||||
−0.458628 | + | 0.888628i | \(0.651659\pi\) | |||||||
\(600\) | 9.52150 | + | 21.0554i | 0.388714 | + | 0.859582i | ||||
\(601\) | −2.44752 | −0.0998364 | −0.0499182 | − | 0.998753i | \(-0.515896\pi\) | ||||
−0.0499182 | + | 0.998753i | \(0.515896\pi\) | |||||||
\(602\) | −13.5270 | − | 2.81135i | −0.551321 | − | 0.114582i | ||||
\(603\) | 0.428050 | + | 0.428050i | 0.0174316 | + | 0.0174316i | ||||
\(604\) | −18.6883 | + | 43.0181i | −0.760416 | + | 1.75038i | ||||
\(605\) | 2.79772 | + | 21.9073i | 0.113743 | + | 0.890659i | ||||
\(606\) | −19.5160 | − | 29.7564i | −0.792785 | − | 1.20877i | ||||
\(607\) | 8.33475 | − | 8.33475i | 0.338297 | − | 0.338297i | −0.517429 | − | 0.855726i | \(-0.673111\pi\) |
0.855726 | + | 0.517429i | \(0.173111\pi\) | |||||||
\(608\) | −2.93852 | − | 4.83374i | −0.119173 | − | 0.196034i | ||||
\(609\) | − | 10.8136i | − | 0.438188i | ||||||
\(610\) | 2.71868 | − | 34.8310i | 0.110076 | − | 1.41027i | ||||
\(611\) | − | 42.9843i | − | 1.73896i | ||||||
\(612\) | 3.20245 | − | 1.26267i | 0.129451 | − | 0.0510405i | ||||
\(613\) | −24.6735 | + | 24.6735i | −0.996555 | + | 0.996555i | −0.999994 | − | 0.00343930i | \(-0.998905\pi\) |
0.00343930 | + | 0.999994i | \(0.498905\pi\) | |||||||
\(614\) | 27.6053 | − | 18.1052i | 1.11406 | − | 0.730665i | ||||
\(615\) | 7.86186 | − | 10.1639i | 0.317021 | − | 0.409847i | ||||
\(616\) | 10.1286 | + | 58.7744i | 0.408091 | + | 2.36809i | ||||
\(617\) | −2.72052 | − | 2.72052i | −0.109524 | − | 0.109524i | 0.650221 | − | 0.759745i | \(-0.274676\pi\) |
−0.759745 | + | 0.650221i | \(0.774676\pi\) | |||||||
\(618\) | −0.357812 | + | 1.72164i | −0.0143933 | + | 0.0692544i | ||||
\(619\) | 21.6528 | 0.870300 | 0.435150 | − | 0.900358i | \(-0.356695\pi\) | ||||
0.435150 | + | 0.900358i | \(0.356695\pi\) | |||||||
\(620\) | 9.03999 | + | 2.62702i | 0.363055 | + | 0.105504i | ||||
\(621\) | −5.16843 | −0.207402 | ||||||||
\(622\) | −5.59441 | + | 26.9179i | −0.224316 | + | 1.07931i | ||||
\(623\) | 35.7852 | + | 35.7852i | 1.43370 | + | 1.43370i | ||||
\(624\) | −24.6519 | − | 26.4018i | −0.986867 | − | 1.05692i | ||||
\(625\) | 21.8420 | − | 12.1625i | 0.873681 | − | 0.486499i | ||||
\(626\) | 14.4411 | − | 9.47134i | 0.577183 | − | 0.378551i | ||||
\(627\) | −5.27920 | + | 5.27920i | −0.210831 | + | 0.210831i | ||||
\(628\) | 14.8024 | + | 37.5426i | 0.590681 | + | 1.49811i | ||||
\(629\) | 22.2188i | 0.885920i | ||||||||
\(630\) | −3.66073 | + | 3.13064i | −0.145847 | + | 0.124728i | ||||
\(631\) | − | 31.3301i | − | 1.24723i | −0.781731 | − | 0.623616i | \(-0.785663\pi\) | ||
0.781731 | − | 0.623616i | \(-0.214337\pi\) | |||||||
\(632\) | −4.79555 | − | 3.38568i | −0.190757 | − | 0.134675i | ||||
\(633\) | −15.3232 | + | 15.3232i | −0.609041 | + | 0.609041i | ||||
\(634\) | −14.9191 | − | 22.7475i | −0.592515 | − | 0.903417i | ||||
\(635\) | −16.1652 | − | 12.5039i | −0.641494 | − | 0.496202i | ||||
\(636\) | 25.1171 | + | 10.9116i | 0.995959 | + | 0.432673i | ||||
\(637\) | 55.8736 | + | 55.8736i | 2.21379 | + | 2.21379i | ||||
\(638\) | 9.07229 | + | 1.88551i | 0.359175 | + | 0.0746482i | ||||
\(639\) | −0.621543 | −0.0245879 | ||||||||
\(640\) | −24.4256 | + | 6.58704i | −0.965507 | + | 0.260376i | ||||
\(641\) | −38.8191 | −1.53326 | −0.766631 | − | 0.642088i | \(-0.778068\pi\) | ||||
−0.766631 | + | 0.642088i | \(0.778068\pi\) | |||||||
\(642\) | 6.88483 | + | 1.43089i | 0.271722 | + | 0.0564727i | ||||
\(643\) | −30.5752 | − | 30.5752i | −1.20577 | − | 1.20577i | −0.972385 | − | 0.233384i | \(-0.925020\pi\) |
−0.233384 | − | 0.972385i | \(-0.574980\pi\) | |||||||
\(644\) | 8.04101 | + | 3.49325i | 0.316860 | + | 0.137653i | ||||
\(645\) | −7.67233 | + | 0.979811i | −0.302098 | + | 0.0385800i | ||||
\(646\) | −4.04454 | − | 6.16678i | −0.159130 | − | 0.242629i | ||||
\(647\) | −21.3825 | + | 21.3825i | −0.840632 | + | 0.840632i | −0.988941 | − | 0.148309i | \(-0.952617\pi\) |
0.148309 | + | 0.988941i | \(0.452617\pi\) | |||||||
\(648\) | −18.2558 | − | 12.8887i | −0.717154 | − | 0.506314i | ||||
\(649\) | 4.92749i | 0.193421i | ||||||||
\(650\) | −26.2427 | + | 28.9565i | −1.02932 | + | 1.13577i | ||||
\(651\) | − | 15.8735i | − | 0.622133i | ||||||
\(652\) | 9.83348 | + | 24.9402i | 0.385109 | + | 0.976732i | ||||
\(653\) | 9.46388 | − | 9.46388i | 0.370350 | − | 0.370350i | −0.497255 | − | 0.867605i | \(-0.665658\pi\) |
0.867605 | + | 0.497255i | \(0.165658\pi\) | |||||||
\(654\) | −25.1105 | + | 16.4689i | −0.981897 | + | 0.643986i | ||||
\(655\) | 25.0118 | − | 3.19419i | 0.977293 | − | 0.124807i | ||||
\(656\) | 9.60061 | + | 10.2821i | 0.374841 | + | 0.401448i | ||||
\(657\) | 1.05656 | + | 1.05656i | 0.0412202 | + | 0.0412202i | ||||
\(658\) | −10.3291 | + | 49.6994i | −0.402672 | + | 1.93749i | ||||
\(659\) | −14.8386 | −0.578029 | −0.289014 | − | 0.957325i | \(-0.593328\pi\) | ||||
−0.289014 | + | 0.957325i | \(0.593328\pi\) | |||||||
\(660\) | 16.0831 | + | 29.2597i | 0.626034 | + | 1.13893i | ||||
\(661\) | 31.5760 | 1.22817 | 0.614083 | − | 0.789242i | \(-0.289526\pi\) | ||||
0.614083 | + | 0.789242i | \(0.289526\pi\) | |||||||
\(662\) | 6.23434 | − | 29.9970i | 0.242305 | − | 1.16587i | ||||
\(663\) | −33.2987 | − | 33.2987i | −1.29321 | − | 1.29321i | ||||
\(664\) | 1.41867 | + | 8.23233i | 0.0550552 | + | 0.319476i | ||||
\(665\) | 8.16243 | + | 6.31372i | 0.316525 | + | 0.244836i | ||||
\(666\) | −1.66305 | + | 1.09073i | −0.0644418 | + | 0.0422647i | ||||
\(667\) | 0.963149 | − | 0.963149i | 0.0372933 | − | 0.0372933i | ||||
\(668\) | 36.6588 | − | 14.4539i | 1.41837 | − | 0.559240i | ||||
\(669\) | − | 14.1144i | − | 0.545693i | ||||||
\(670\) | −3.76952 | − | 4.40779i | −0.145629 | − | 0.170288i | ||||
\(671\) | − | 50.4797i | − | 1.94875i | ||||||
\(672\) | 22.1588 | + | 36.4502i | 0.854793 | + | 1.40610i | ||||
\(673\) | 18.0004 | − | 18.0004i | 0.693866 | − | 0.693866i | −0.269215 | − | 0.963080i | \(-0.586764\pi\) |
0.963080 | + | 0.269215i | \(0.0867641\pi\) | |||||||
\(674\) | −0.185648 | − | 0.283061i | −0.00715091 | − | 0.0109031i | ||||
\(675\) | −13.7857 | + | 23.4553i | −0.530611 | + | 0.902793i | ||||
\(676\) | 13.9803 | − | 32.1808i | 0.537702 | − | 1.23772i | ||||
\(677\) | 20.3423 | + | 20.3423i | 0.781819 | + | 0.781819i | 0.980138 | − | 0.198319i | \(-0.0635481\pi\) |
−0.198319 | + | 0.980138i | \(0.563548\pi\) | |||||||
\(678\) | −14.6224 | − | 3.03901i | −0.561571 | − | 0.116712i | ||||
\(679\) | −11.2342 | −0.431127 | ||||||||
\(680\) | −31.5306 | + | 9.67322i | −1.20914 | + | 0.370951i | ||||
\(681\) | 34.4279 | 1.31928 | ||||||||
\(682\) | 13.3175 | + | 2.76780i | 0.509952 | + | 0.105984i | ||||
\(683\) | −31.7484 | − | 31.7484i | −1.21482 | − | 1.21482i | −0.969423 | − | 0.245396i | \(-0.921082\pi\) |
−0.245396 | − | 0.969423i | \(-0.578918\pi\) | |||||||
\(684\) | 0.263028 | − | 0.605458i | 0.0100571 | − | 0.0231503i | ||||
\(685\) | 9.50359 | − | 12.2863i | 0.363113 | − | 0.469436i | ||||
\(686\) | −26.1206 | − | 39.8266i | −0.997290 | − | 1.52059i | ||||
\(687\) | −29.5903 | + | 29.5903i | −1.12894 | + | 1.12894i | ||||
\(688\) | 0.290060 | − | 8.46272i | 0.0110584 | − | 0.322638i | ||||
\(689\) | 46.3114i | 1.76432i | ||||||||
\(690\) | 4.89314 | + | 0.381926i | 0.186279 | + | 0.0145397i | ||||
\(691\) | 2.26449i | 0.0861453i | 0.999072 | + | 0.0430727i | \(0.0137147\pi\) | ||||
−0.999072 | + | 0.0430727i | \(0.986285\pi\) | |||||||
\(692\) | 3.36463 | − | 1.32661i | 0.127904 | − | 0.0504303i | ||||
\(693\) | −4.92128 | + | 4.92128i | −0.186944 | + | 0.186944i | ||||
\(694\) | 37.3056 | − | 24.4672i | 1.41610 | − | 0.928763i | ||||
\(695\) | −3.94654 | − | 30.9031i | −0.149701 | − | 1.17222i | ||||
\(696\) | 6.53120 | − | 1.12552i | 0.247565 | − | 0.0426627i | ||||
\(697\) | 12.9680 | + | 12.9680i | 0.491200 | + | 0.491200i | ||||
\(698\) | 5.51225 | − | 26.5226i | 0.208642 | − | 1.00390i | ||||
\(699\) | 23.7680 | 0.898987 | ||||||||
\(700\) | 37.3006 | − | 27.1740i | 1.40983 | − | 1.02708i | ||||
\(701\) | 1.89491 | 0.0715697 | 0.0357849 | − | 0.999360i | \(-0.488607\pi\) | ||||
0.0357849 | + | 0.999360i | \(0.488607\pi\) | |||||||
\(702\) | 8.65376 | − | 41.6382i | 0.326615 | − | 1.57153i | ||||
\(703\) | 3.01280 | + | 3.01280i | 0.113630 | + | 0.113630i | ||||
\(704\) | −34.4445 | + | 12.2349i | −1.29818 | + | 0.461122i | ||||
\(705\) | 3.59990 | + | 28.1887i | 0.135580 | + | 1.06165i | ||||
\(706\) | −1.15858 | + | 0.759863i | −0.0436036 | + | 0.0285978i | ||||
\(707\) | −50.2525 | + | 50.2525i | −1.88994 | + | 1.88994i | ||||
\(708\) | 1.29272 | + | 3.27866i | 0.0485834 | + | 0.123220i | ||||
\(709\) | 6.93479i | 0.260442i | 0.991485 | + | 0.130221i | \(0.0415686\pi\) | ||||
−0.991485 | + | 0.130221i | \(0.958431\pi\) | |||||||
\(710\) | 5.93686 | + | 0.463392i | 0.222806 | + | 0.0173908i | ||||
\(711\) | − | 0.685029i | − | 0.0256906i | ||||||
\(712\) | −17.8889 | + | 25.3383i | −0.670417 | + | 0.949592i | ||||
\(713\) | 1.41383 | − | 1.41383i | 0.0529485 | − | 0.0529485i | ||||
\(714\) | 30.4990 | + | 46.5024i | 1.14140 | + | 1.74031i | ||||
\(715\) | −34.5469 | + | 44.6624i | −1.29198 | + | 1.67028i | ||||
\(716\) | 7.31444 | + | 3.17761i | 0.273354 | + | 0.118753i | ||||
\(717\) | −3.68914 | − | 3.68914i | −0.137773 | − | 0.137773i | ||||
\(718\) | 18.0676 | + | 3.75502i | 0.674276 | + | 0.140136i | ||||
\(719\) | 37.3420 | 1.39262 | 0.696311 | − | 0.717740i | \(-0.254823\pi\) | ||||
0.696311 | + | 0.717740i | \(0.254823\pi\) | |||||||
\(720\) | −2.27187 | − | 1.88517i | −0.0846678 | − | 0.0702560i | ||||
\(721\) | 3.51176 | 0.130785 | ||||||||
\(722\) | −1.38463 | − | 0.287770i | −0.0515304 | − | 0.0107097i | ||||
\(723\) | −13.5866 | − | 13.5866i | −0.505290 | − | 0.505290i | ||||
\(724\) | 35.4765 | + | 15.4120i | 1.31847 | + | 0.572783i | ||||
\(725\) | −1.80194 | − | 6.93993i | −0.0669226 | − | 0.257743i | ||||
\(726\) | 12.5171 | + | 19.0850i | 0.464552 | + | 0.708310i | ||||
\(727\) | −17.4875 | + | 17.4875i | −0.648575 | + | 0.648575i | −0.952649 | − | 0.304074i | \(-0.901653\pi\) |
0.304074 | + | 0.952649i | \(0.401653\pi\) | |||||||
\(728\) | −41.6060 | + | 58.9315i | −1.54202 | + | 2.18415i | ||||
\(729\) | − | 29.2810i | − | 1.08448i | ||||||
\(730\) | −9.30431 | − | 10.8797i | −0.344368 | − | 0.402677i | ||||
\(731\) | − | 11.0392i | − | 0.408301i | ||||||
\(732\) | −13.2433 | − | 33.5883i | −0.489486 | − | 1.24146i | ||||
\(733\) | −0.838043 | + | 0.838043i | −0.0309538 | + | 0.0309538i | −0.722414 | − | 0.691460i | \(-0.756968\pi\) |
0.691460 | + | 0.722414i | \(0.256968\pi\) | |||||||
\(734\) | −21.3123 | + | 13.9778i | −0.786650 | + | 0.515932i | ||||
\(735\) | −41.3208 | − | 31.9621i | −1.52414 | − | 1.17894i | ||||
\(736\) | −1.27292 | + | 5.22022i | −0.0469205 | + | 0.192420i | ||||
\(737\) | −5.92559 | − | 5.92559i | −0.218272 | − | 0.218272i | ||||
\(738\) | −0.334038 | + | 1.60725i | −0.0122961 | + | 0.0591636i | ||||
\(739\) | 2.99968 | 0.110345 | 0.0551725 | − | 0.998477i | \(-0.482429\pi\) | ||||
0.0551725 | + | 0.998477i | \(0.482429\pi\) | |||||||
\(740\) | 16.6983 | − | 9.17851i | 0.613842 | − | 0.337409i | ||||
\(741\) | −9.03041 | −0.331740 | ||||||||
\(742\) | 11.1286 | − | 53.5462i | 0.408545 | − | 1.96574i | ||||
\(743\) | 29.6466 | + | 29.6466i | 1.08763 | + | 1.08763i | 0.995772 | + | 0.0918551i | \(0.0292796\pi\) |
0.0918551 | + | 0.995772i | \(0.470720\pi\) | |||||||
\(744\) | 9.58734 | − | 1.65218i | 0.351489 | − | 0.0605719i | ||||
\(745\) | 37.5719 | − | 4.79820i | 1.37653 | − | 0.175792i | ||||
\(746\) | −26.2062 | + | 17.1876i | −0.959477 | + | 0.629282i | ||||
\(747\) | −0.689307 | + | 0.689307i | −0.0252204 | + | 0.0252204i | ||||
\(748\) | −44.3322 | + | 17.4794i | −1.62095 | + | 0.639111i | ||||
\(749\) | − | 14.0435i | − | 0.513139i | ||||||
\(750\) | 14.7847 | − | 21.1872i | 0.539859 | − | 0.773648i | ||||
\(751\) | − | 17.4677i | − | 0.637406i | −0.947855 | − | 0.318703i | \(-0.896753\pi\) | ||
0.947855 | − | 0.318703i | \(-0.103247\pi\) | |||||||
\(752\) | −31.0927 | − | 1.06570i | −1.13383 | − | 0.0388622i | ||||
\(753\) | −16.8146 | + | 16.8146i | −0.612759 | + | 0.612759i | ||||
\(754\) | 6.14673 | + | 9.37202i | 0.223851 | + | 0.341309i | ||||
\(755\) | 52.0157 | − | 6.64278i | 1.89305 | − | 0.241755i | ||||
\(756\) | −20.0113 | + | 46.0635i | −0.727805 | + | 1.67532i | ||||
\(757\) | 8.92826 | + | 8.92826i | 0.324503 | + | 0.324503i | 0.850492 | − | 0.525988i | \(-0.176305\pi\) |
−0.525988 | + | 0.850492i | \(0.676305\pi\) | |||||||
\(758\) | −5.82847 | − | 1.21134i | −0.211699 | − | 0.0439979i | ||||
\(759\) | 7.09151 | 0.257406 | ||||||||
\(760\) | −2.96380 | + | 5.58712i | −0.107508 | + | 0.202666i | ||||
\(761\) | 21.6485 | 0.784756 | 0.392378 | − | 0.919804i | \(-0.371653\pi\) | ||||
0.392378 | + | 0.919804i | \(0.371653\pi\) | |||||||
\(762\) | −20.6780 | − | 4.29756i | −0.749086 | − | 0.155684i | ||||
\(763\) | 42.4064 | + | 42.4064i | 1.53521 | + | 1.53521i | ||||
\(764\) | 1.12725 | − | 2.59479i | 0.0407826 | − | 0.0938763i | ||||
\(765\) | −3.04427 | − | 2.35477i | −0.110066 | − | 0.0851370i | ||||
\(766\) | 25.6570 | + | 39.1197i | 0.927025 | + | 1.41345i | ||||
\(767\) | −4.21440 | + | 4.21440i | −0.152173 | + | 0.152173i | ||||
\(768\) | −19.7089 | + | 17.1774i | −0.711184 | + | 0.619835i | ||||
\(769\) | − | 28.9274i | − | 1.04315i | −0.853206 | − | 0.521574i | \(-0.825345\pi\) | ||
0.853206 | − | 0.521574i | \(-0.174655\pi\) | |||||||
\(770\) | 50.6762 | − |