Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(103,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 0, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.ba (of order \(42\), degree \(12\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 283.3 | ||
Character | \(\chi\) | \(=\) | 588.283 |
Dual form | 588.2.ba.b.187.3 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{19}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33511 | + | 0.466348i | −0.944066 | + | 0.329758i | ||||
\(3\) | −0.988831 | + | 0.149042i | −0.570902 | + | 0.0860496i | ||||
\(4\) | 1.56504 | − | 1.24525i | 0.782520 | − | 0.622626i | ||||
\(5\) | 2.58391 | + | 1.01411i | 1.15556 | + | 0.453523i | 0.864229 | − | 0.503099i | \(-0.167807\pi\) |
0.291330 | + | 0.956623i | \(0.405902\pi\) | |||||||
\(6\) | 1.25069 | − | 0.660127i | 0.510593 | − | 0.269496i | ||||
\(7\) | 1.51456 | + | 2.16936i | 0.572449 | + | 0.819940i | ||||
\(8\) | −1.50878 | + | 2.39240i | −0.533434 | + | 0.845842i | ||||
\(9\) | 0.955573 | − | 0.294755i | 0.318524 | − | 0.0982517i | ||||
\(10\) | −3.92273 | − | 0.148948i | −1.24048 | − | 0.0471014i | ||||
\(11\) | −1.46471 | + | 4.74848i | −0.441627 | + | 1.43172i | 0.412166 | + | 0.911109i | \(0.364772\pi\) |
−0.853793 | + | 0.520612i | \(0.825704\pi\) | |||||||
\(12\) | −1.36196 | + | 1.46460i | −0.393165 | + | 0.422794i | ||||
\(13\) | 1.62731 | − | 0.371422i | 0.451334 | − | 0.103014i | 0.00918920 | − | 0.999958i | \(-0.497075\pi\) |
0.442145 | + | 0.896944i | \(0.354218\pi\) | |||||||
\(14\) | −3.03378 | − | 2.19002i | −0.810811 | − | 0.585308i | ||||
\(15\) | −2.70619 | − | 0.617671i | −0.698736 | − | 0.159482i | ||||
\(16\) | 0.898697 | − | 3.89774i | 0.224674 | − | 0.974434i | ||||
\(17\) | −1.65529 | − | 2.42786i | −0.401467 | − | 0.588843i | 0.571268 | − | 0.820763i | \(-0.306452\pi\) |
−0.972735 | + | 0.231920i | \(0.925499\pi\) | |||||||
\(18\) | −1.13834 | + | 0.839160i | −0.268309 | + | 0.197792i | ||||
\(19\) | 0.522408 | + | 0.904838i | 0.119849 | + | 0.207584i | 0.919708 | − | 0.392604i | \(-0.128426\pi\) |
−0.799859 | + | 0.600188i | \(0.795092\pi\) | |||||||
\(20\) | 5.30674 | − | 1.63050i | 1.18662 | − | 0.364590i | ||||
\(21\) | −1.82097 | − | 1.91940i | −0.397368 | − | 0.418846i | ||||
\(22\) | −0.258891 | − | 7.02281i | −0.0551958 | − | 1.49727i | ||||
\(23\) | −0.413634 | + | 0.606690i | −0.0862487 | + | 0.126504i | −0.866939 | − | 0.498415i | \(-0.833916\pi\) |
0.780690 | + | 0.624919i | \(0.214868\pi\) | |||||||
\(24\) | 1.13536 | − | 2.59055i | 0.231754 | − | 0.528794i | ||||
\(25\) | 1.98290 | + | 1.83987i | 0.396581 | + | 0.367973i | ||||
\(26\) | −1.99942 | + | 1.25478i | −0.392119 | + | 0.246083i | ||||
\(27\) | −0.900969 | + | 0.433884i | −0.173392 | + | 0.0835010i | ||||
\(28\) | 5.07174 | + | 1.50913i | 0.958469 | + | 0.285198i | ||||
\(29\) | 3.85385 | + | 1.85591i | 0.715641 | + | 0.344635i | 0.756019 | − | 0.654550i | \(-0.227142\pi\) |
−0.0403776 | + | 0.999184i | \(0.512856\pi\) | |||||||
\(30\) | 3.90112 | − | 0.437368i | 0.712243 | − | 0.0798522i | ||||
\(31\) | 0.702049 | − | 1.21599i | 0.126092 | − | 0.218397i | −0.796067 | − | 0.605208i | \(-0.793090\pi\) |
0.922159 | + | 0.386811i | \(0.126423\pi\) | |||||||
\(32\) | 0.617842 | + | 5.62301i | 0.109220 | + | 0.994018i | ||||
\(33\) | 0.740628 | − | 4.91375i | 0.128927 | − | 0.855374i | ||||
\(34\) | 3.34222 | + | 2.46953i | 0.573186 | + | 0.423520i | ||||
\(35\) | 1.71351 | + | 7.14135i | 0.289636 | + | 1.20711i | ||||
\(36\) | 1.12846 | − | 1.65123i | 0.188077 | − | 0.275205i | ||||
\(37\) | −0.131088 | − | 1.74925i | −0.0215507 | − | 0.287575i | −0.997558 | − | 0.0698381i | \(-0.977752\pi\) |
0.976008 | − | 0.217736i | \(-0.0698673\pi\) | |||||||
\(38\) | −1.11944 | − | 0.964434i | −0.181597 | − | 0.156452i | ||||
\(39\) | −1.55377 | + | 0.609811i | −0.248803 | + | 0.0976480i | ||||
\(40\) | −6.32470 | + | 4.65168i | −1.00002 | + | 0.735495i | ||||
\(41\) | −4.25079 | + | 3.38989i | −0.663862 | + | 0.529412i | −0.896440 | − | 0.443166i | \(-0.853855\pi\) |
0.232578 | + | 0.972578i | \(0.425284\pi\) | |||||||
\(42\) | 3.32630 | + | 1.71340i | 0.513259 | + | 0.264384i | ||||
\(43\) | −7.54761 | − | 6.01902i | −1.15100 | − | 0.917892i | −0.153471 | − | 0.988153i | \(-0.549045\pi\) |
−0.997529 | + | 0.0702613i | \(0.977617\pi\) | |||||||
\(44\) | 3.62072 | + | 9.25550i | 0.545844 | + | 1.39532i | ||||
\(45\) | 2.76803 | + | 0.207435i | 0.412633 | + | 0.0309226i | ||||
\(46\) | 0.269319 | − | 1.00290i | 0.0397089 | − | 0.147869i | ||||
\(47\) | −1.55491 | + | 1.44274i | −0.226807 | + | 0.210446i | −0.785388 | − | 0.619004i | \(-0.787536\pi\) |
0.558581 | + | 0.829450i | \(0.311346\pi\) | |||||||
\(48\) | −0.307731 | + | 3.98815i | −0.0444172 | + | 0.575639i | ||||
\(49\) | −2.41223 | + | 6.57123i | −0.344605 | + | 0.938748i | ||||
\(50\) | −3.50541 | − | 1.53170i | −0.495741 | − | 0.216615i | ||||
\(51\) | 1.99866 | + | 2.15404i | 0.279868 | + | 0.301626i | ||||
\(52\) | 2.08429 | − | 2.60770i | 0.289038 | − | 0.361623i | ||||
\(53\) | −0.844926 | + | 11.2748i | −0.116060 | + | 1.54871i | 0.570295 | + | 0.821440i | \(0.306829\pi\) |
−0.686355 | + | 0.727267i | \(0.740790\pi\) | |||||||
\(54\) | 1.00055 | − | 0.999448i | 0.136158 | − | 0.136008i | ||||
\(55\) | −8.60016 | + | 10.7843i | −1.15965 | + | 1.45415i | ||||
\(56\) | −7.47511 | + | 0.350343i | −0.998904 | + | 0.0468166i | ||||
\(57\) | −0.651432 | − | 0.816870i | −0.0862843 | − | 0.108197i | ||||
\(58\) | −6.01081 | − | 0.680618i | −0.789258 | − | 0.0893695i | ||||
\(59\) | 2.28926 | + | 5.83295i | 0.298037 | + | 0.759385i | 0.998936 | + | 0.0461245i | \(0.0146871\pi\) |
−0.700899 | + | 0.713260i | \(0.747218\pi\) | |||||||
\(60\) | −5.00445 | + | 2.40321i | −0.646072 | + | 0.310253i | ||||
\(61\) | 14.9255 | − | 1.11851i | 1.91101 | − | 0.143210i | 0.934121 | − | 0.356957i | \(-0.116186\pi\) |
0.976889 | + | 0.213747i | \(0.0685668\pi\) | |||||||
\(62\) | −0.370241 | + | 1.95087i | −0.0470207 | + | 0.247761i | ||||
\(63\) | 2.08670 | + | 1.62656i | 0.262899 | + | 0.204927i | ||||
\(64\) | −3.44717 | − | 7.21921i | −0.430896 | − | 0.902402i | ||||
\(65\) | 4.58148 | + | 0.690546i | 0.568262 | + | 0.0856517i | ||||
\(66\) | 1.30270 | + | 6.90579i | 0.160351 | + | 0.850044i | ||||
\(67\) | −0.627522 | − | 0.362300i | −0.0766640 | − | 0.0442620i | 0.461178 | − | 0.887308i | \(-0.347427\pi\) |
−0.537842 | + | 0.843046i | \(0.680760\pi\) | |||||||
\(68\) | −5.61389 | − | 1.73845i | −0.680785 | − | 0.210818i | ||||
\(69\) | 0.318592 | − | 0.661563i | 0.0383540 | − | 0.0796428i | ||||
\(70\) | −5.61808 | − | 8.73540i | −0.671489 | − | 1.04408i | ||||
\(71\) | −1.13149 | − | 2.34957i | −0.134283 | − | 0.278842i | 0.822974 | − | 0.568078i | \(-0.192313\pi\) |
−0.957258 | + | 0.289236i | \(0.906599\pi\) | |||||||
\(72\) | −0.736576 | + | 2.73083i | −0.0868064 | + | 0.321832i | ||||
\(73\) | −7.13580 | + | 7.69056i | −0.835182 | + | 0.900112i | −0.996223 | − | 0.0868358i | \(-0.972324\pi\) |
0.161041 | + | 0.986948i | \(0.448515\pi\) | |||||||
\(74\) | 0.990775 | + | 2.27431i | 0.115175 | + | 0.264383i | ||||
\(75\) | −2.23498 | − | 1.52378i | −0.258073 | − | 0.175951i | ||||
\(76\) | 1.94434 | + | 0.765577i | 0.223031 | + | 0.0878177i | ||||
\(77\) | −12.5195 | + | 4.01436i | −1.42674 | + | 0.457479i | ||||
\(78\) | 1.79008 | − | 1.53876i | 0.202686 | − | 0.174231i | ||||
\(79\) | 13.9173 | − | 8.03517i | 1.56582 | − | 0.904027i | 0.569172 | − | 0.822218i | \(-0.307264\pi\) |
0.996648 | − | 0.0818086i | \(-0.0260696\pi\) | |||||||
\(80\) | 6.27488 | − | 9.16002i | 0.701553 | − | 1.02412i | ||||
\(81\) | 0.826239 | − | 0.563320i | 0.0918043 | − | 0.0625911i | ||||
\(82\) | 4.09440 | − | 6.50823i | 0.452151 | − | 0.718713i | ||||
\(83\) | 0.263097 | − | 1.15270i | 0.0288787 | − | 0.126526i | −0.958434 | − | 0.285315i | \(-0.907902\pi\) |
0.987313 | + | 0.158789i | \(0.0507590\pi\) | |||||||
\(84\) | −5.24002 | − | 0.736368i | −0.571733 | − | 0.0803443i | ||||
\(85\) | −1.81500 | − | 7.95202i | −0.196864 | − | 0.862518i | ||||
\(86\) | 12.8839 | + | 4.51624i | 1.38930 | + | 0.486999i | ||||
\(87\) | −4.08741 | − | 1.26080i | −0.438216 | − | 0.135172i | ||||
\(88\) | −9.15034 | − | 10.6686i | −0.975430 | − | 1.13728i | ||||
\(89\) | 3.12239 | + | 10.1225i | 0.330972 | + | 1.07299i | 0.956242 | + | 0.292577i | \(0.0945128\pi\) |
−0.625270 | + | 0.780409i | \(0.715011\pi\) | |||||||
\(90\) | −3.79236 | + | 1.01391i | −0.399750 | + | 0.106876i | ||||
\(91\) | 3.27040 | + | 2.96767i | 0.342831 | + | 0.311097i | ||||
\(92\) | 0.108128 | + | 1.46457i | 0.0112731 | + | 0.152692i | ||||
\(93\) | −0.512975 | + | 1.30704i | −0.0531930 | + | 0.135534i | ||||
\(94\) | 1.40315 | − | 2.65135i | 0.144724 | − | 0.273466i | ||||
\(95\) | 0.432251 | + | 2.86780i | 0.0443480 | + | 0.294230i | ||||
\(96\) | −1.44901 | − | 5.46812i | −0.147889 | − | 0.558088i | ||||
\(97\) | 14.9481i | 1.51775i | 0.651234 | + | 0.758877i | \(0.274252\pi\) | ||||
−0.651234 | + | 0.758877i | \(0.725748\pi\) | |||||||
\(98\) | 0.156117 | − | 9.89826i | 0.0157702 | − | 0.999876i | ||||
\(99\) | 4.96925i | 0.499429i | ||||||||
\(100\) | 5.39442 | + | 0.410248i | 0.539442 | + | 0.0410248i | ||||
\(101\) | −2.60866 | − | 17.3073i | −0.259571 | − | 1.72214i | −0.615938 | − | 0.787795i | \(-0.711223\pi\) |
0.356367 | − | 0.934346i | \(-0.384015\pi\) | |||||||
\(102\) | −3.67296 | − | 1.94381i | −0.363677 | − | 0.192466i | ||||
\(103\) | 4.51346 | − | 11.5001i | 0.444724 | − | 1.13314i | −0.516234 | − | 0.856447i | \(-0.672667\pi\) |
0.960959 | − | 0.276692i | \(-0.0892382\pi\) | |||||||
\(104\) | −1.56666 | + | 4.45357i | −0.153623 | + | 0.436708i | ||||
\(105\) | −2.75873 | − | 6.80620i | −0.269225 | − | 0.664217i | ||||
\(106\) | −4.12989 | − | 15.4471i | −0.401130 | − | 1.50035i | ||||
\(107\) | 0.974302 | + | 3.15861i | 0.0941893 | + | 0.305354i | 0.990392 | − | 0.138291i | \(-0.0441611\pi\) |
−0.896202 | + | 0.443646i | \(0.853685\pi\) | |||||||
\(108\) | −0.869757 | + | 1.80098i | −0.0836924 | + | 0.173299i | ||||
\(109\) | 7.61812 | + | 2.34988i | 0.729684 | + | 0.225078i | 0.637267 | − | 0.770643i | \(-0.280065\pi\) |
0.0924165 | + | 0.995720i | \(0.470541\pi\) | |||||||
\(110\) | 6.45295 | − | 18.4088i | 0.615264 | − | 1.75521i | ||||
\(111\) | 0.390336 | + | 1.71017i | 0.0370490 | + | 0.162322i | ||||
\(112\) | 9.81671 | − | 3.95375i | 0.927592 | − | 0.373594i | ||||
\(113\) | 2.69255 | − | 11.7968i | 0.253294 | − | 1.10975i | −0.674974 | − | 0.737841i | \(-0.735845\pi\) |
0.928268 | − | 0.371911i | \(-0.121298\pi\) | |||||||
\(114\) | 1.25068 | + | 0.786818i | 0.117137 | + | 0.0736923i | ||||
\(115\) | −1.68404 | + | 1.14816i | −0.157038 | + | 0.107067i | ||||
\(116\) | 8.34250 | − | 1.89443i | 0.774582 | − | 0.175893i | ||||
\(117\) | 1.44553 | − | 0.834578i | 0.133639 | − | 0.0771568i | ||||
\(118\) | −5.77660 | − | 6.72003i | −0.531779 | − | 0.618629i | ||||
\(119\) | 2.75988 | − | 7.26805i | 0.252997 | − | 0.666261i | ||||
\(120\) | 5.56077 | − | 5.54237i | 0.507626 | − | 0.505947i | ||||
\(121\) | −11.3141 | − | 7.71380i | −1.02855 | − | 0.701254i | ||||
\(122\) | −19.4055 | + | 8.45379i | −1.75689 | + | 0.765370i | ||||
\(123\) | 3.69807 | − | 3.98558i | 0.333444 | − | 0.359367i | ||||
\(124\) | −0.415473 | − | 2.77729i | −0.0373106 | − | 0.249408i | ||||
\(125\) | −2.76403 | − | 5.73956i | −0.247222 | − | 0.513362i | ||||
\(126\) | −3.54451 | − | 1.19850i | −0.315770 | − | 0.106771i | ||||
\(127\) | −7.11965 | + | 14.7841i | −0.631766 | + | 1.31188i | 0.301766 | + | 0.953382i | \(0.402424\pi\) |
−0.933532 | + | 0.358494i | \(0.883290\pi\) | |||||||
\(128\) | 7.96901 | + | 8.03087i | 0.704368 | + | 0.709835i | ||||
\(129\) | 8.36040 | + | 4.82688i | 0.736092 | + | 0.424983i | ||||
\(130\) | −6.43881 | + | 1.21461i | −0.564721 | + | 0.106528i | ||||
\(131\) | 11.2970 | + | 1.70274i | 0.987019 | + | 0.148769i | 0.622663 | − | 0.782490i | \(-0.286051\pi\) |
0.364357 | + | 0.931260i | \(0.381289\pi\) | |||||||
\(132\) | −4.95974 | − | 8.61248i | −0.431690 | − | 0.749620i | ||||
\(133\) | −1.17170 | + | 2.50372i | −0.101599 | + | 0.217100i | ||||
\(134\) | 1.00677 | + | 0.191067i | 0.0869715 | + | 0.0165057i | ||||
\(135\) | −2.76803 | + | 0.207435i | −0.238234 | + | 0.0178532i | ||||
\(136\) | 8.30589 | − | 0.297004i | 0.712224 | − | 0.0254679i | ||||
\(137\) | −8.16022 | − | 20.7919i | −0.697175 | − | 1.77637i | −0.627247 | − | 0.778820i | \(-0.715818\pi\) |
−0.0699276 | − | 0.997552i | \(-0.522277\pi\) | |||||||
\(138\) | −0.116837 | + | 1.03183i | −0.00994582 | + | 0.0878356i | ||||
\(139\) | 4.02172 | + | 5.04308i | 0.341118 | + | 0.427749i | 0.922569 | − | 0.385833i | \(-0.126086\pi\) |
−0.581450 | + | 0.813582i | \(0.697515\pi\) | |||||||
\(140\) | 11.5745 | + | 9.04274i | 0.978223 | + | 0.764251i | ||||
\(141\) | 1.32251 | − | 1.65838i | 0.111376 | − | 0.139660i | ||||
\(142\) | 2.60638 | + | 2.60926i | 0.218723 | + | 0.218964i | ||||
\(143\) | −0.619846 | + | 8.27126i | −0.0518341 | + | 0.691678i | ||||
\(144\) | −0.290108 | − | 3.98947i | −0.0241757 | − | 0.332455i | ||||
\(145\) | 8.07588 | + | 8.70373i | 0.670666 | + | 0.722806i | ||||
\(146\) | 5.94060 | − | 13.5955i | 0.491648 | − | 1.12517i | ||||
\(147\) | 1.40590 | − | 6.85736i | 0.115957 | − | 0.565586i | ||||
\(148\) | −2.38341 | − | 2.57440i | −0.195915 | − | 0.211615i | ||||
\(149\) | 13.5676 | − | 12.5889i | 1.11150 | − | 1.03132i | 0.112212 | − | 0.993684i | \(-0.464206\pi\) |
0.999291 | − | 0.0376406i | \(-0.0119842\pi\) | |||||||
\(150\) | 3.69455 | + | 0.992139i | 0.301659 | + | 0.0810078i | ||||
\(151\) | 5.08554 | + | 0.381109i | 0.413855 | + | 0.0310142i | 0.280031 | − | 0.959991i | \(-0.409655\pi\) |
0.133824 | + | 0.991005i | \(0.457274\pi\) | |||||||
\(152\) | −2.95293 | − | 0.115391i | −0.239515 | − | 0.00935942i | ||||
\(153\) | −2.29737 | − | 1.83210i | −0.185732 | − | 0.148116i | ||||
\(154\) | 14.8429 | − | 11.1981i | 1.19607 | − | 0.902367i | ||||
\(155\) | 3.04717 | − | 2.43004i | 0.244755 | − | 0.195185i | ||||
\(156\) | −1.67235 | + | 2.88922i | −0.133895 | + | 0.231323i | ||||
\(157\) | −6.84677 | + | 2.68716i | −0.546432 | + | 0.214459i | −0.622466 | − | 0.782647i | \(-0.713869\pi\) |
0.0760347 | + | 0.997105i | \(0.475774\pi\) | |||||||
\(158\) | −14.8340 | + | 17.2181i | −1.18013 | + | 1.36980i | ||||
\(159\) | −0.844926 | − | 11.2748i | −0.0670070 | − | 0.894146i | ||||
\(160\) | −4.10590 | + | 15.1559i | −0.324600 | + | 1.19818i | ||||
\(161\) | −1.94260 | + | 0.0215456i | −0.153098 | + | 0.00169803i | ||||
\(162\) | −0.840417 | + | 1.13741i | −0.0660294 | + | 0.0893633i | ||||
\(163\) | 2.43496 | − | 16.1549i | 0.190721 | − | 1.26535i | −0.664579 | − | 0.747218i | \(-0.731389\pi\) |
0.855300 | − | 0.518133i | \(-0.173373\pi\) | |||||||
\(164\) | −2.43138 | + | 10.5986i | −0.189859 | + | 0.827613i | ||||
\(165\) | 6.89679 | − | 11.9456i | 0.536915 | − | 0.929964i | ||||
\(166\) | 0.186297 | + | 1.66168i | 0.0144595 | + | 0.128972i | ||||
\(167\) | 17.7766 | + | 8.56078i | 1.37560 | + | 0.662453i | 0.968056 | − | 0.250734i | \(-0.0806719\pi\) |
0.407542 | + | 0.913187i | \(0.366386\pi\) | |||||||
\(168\) | 7.33940 | − | 1.46054i | 0.566247 | − | 0.112683i | ||||
\(169\) | −9.20242 | + | 4.43165i | −0.707879 | + | 0.340896i | ||||
\(170\) | 6.13163 | + | 9.77041i | 0.470274 | + | 0.749356i | ||||
\(171\) | 0.765905 | + | 0.710656i | 0.0585702 | + | 0.0543452i | ||||
\(172\) | −19.3075 | − | 0.0213265i | −1.47218 | − | 0.00162613i | ||||
\(173\) | 2.62029 | − | 3.84326i | 0.199217 | − | 0.292198i | −0.713611 | − | 0.700542i | \(-0.752941\pi\) |
0.912828 | + | 0.408345i | \(0.133894\pi\) | |||||||
\(174\) | 6.04512 | − | 0.222849i | 0.458279 | − | 0.0168941i | ||||
\(175\) | −0.988109 | + | 7.08822i | −0.0746940 | + | 0.535819i | ||||
\(176\) | 17.1920 | + | 9.97651i | 1.29590 | + | 0.752007i | ||||
\(177\) | −3.13305 | − | 5.42660i | −0.235494 | − | 0.407888i | ||||
\(178\) | −8.88935 | − | 12.0586i | −0.666285 | − | 0.903828i | ||||
\(179\) | −10.8230 | − | 15.8744i | −0.808948 | − | 1.18651i | −0.979556 | − | 0.201170i | \(-0.935526\pi\) |
0.170608 | − | 0.985339i | \(-0.445427\pi\) | |||||||
\(180\) | 4.59038 | − | 3.12225i | 0.342147 | − | 0.232718i | ||||
\(181\) | 2.73047 | + | 0.623212i | 0.202954 | + | 0.0463230i | 0.322789 | − | 0.946471i | \(-0.395379\pi\) |
−0.119835 | + | 0.992794i | \(0.538237\pi\) | |||||||
\(182\) | −5.75031 | − | 2.43703i | −0.426241 | − | 0.180645i | ||||
\(183\) | −14.5921 | + | 3.33054i | −1.07868 | + | 0.246201i | ||||
\(184\) | −0.827363 | − | 1.90494i | −0.0609940 | − | 0.140434i | ||||
\(185\) | 1.43521 | − | 4.65283i | 0.105519 | − | 0.342083i | ||||
\(186\) | 0.0753434 | − | 1.98427i | 0.00552445 | − | 0.145493i | ||||
\(187\) | 13.9532 | − | 4.30399i | 1.02036 | − | 0.314739i | ||||
\(188\) | −0.636913 | + | 4.19420i | −0.0464517 | + | 0.305894i | ||||
\(189\) | −2.30582 | − | 1.29738i | −0.167724 | − | 0.0943707i | ||||
\(190\) | −1.91449 | − | 3.62725i | −0.138892 | − | 0.263148i | ||||
\(191\) | −23.5225 | − | 9.23191i | −1.70203 | − | 0.667997i | −0.702964 | − | 0.711225i | \(-0.748140\pi\) |
−0.999065 | + | 0.0432283i | \(0.986236\pi\) | |||||||
\(192\) | 4.48463 | + | 6.62481i | 0.323650 | + | 0.478104i | ||||
\(193\) | −7.38095 | + | 1.11250i | −0.531292 | + | 0.0800795i | −0.409210 | − | 0.912440i | \(-0.634195\pi\) |
−0.122083 | + | 0.992520i | \(0.538957\pi\) | |||||||
\(194\) | −6.97103 | − | 19.9574i | −0.500491 | − | 1.43286i | ||||
\(195\) | −4.63322 | −0.331792 | ||||||||
\(196\) | 4.40760 | + | 13.2881i | 0.314829 | + | 0.949149i | ||||
\(197\) | −9.09835 | −0.648231 | −0.324115 | − | 0.946018i | \(-0.605067\pi\) | ||||
−0.324115 | + | 0.946018i | \(0.605067\pi\) | |||||||
\(198\) | −2.31740 | − | 6.63450i | −0.164690 | − | 0.471493i | ||||
\(199\) | −16.2305 | + | 2.44635i | −1.15055 | + | 0.173417i | −0.696497 | − | 0.717560i | \(-0.745259\pi\) |
−0.454049 | + | 0.890977i | \(0.650021\pi\) | |||||||
\(200\) | −7.39347 | + | 1.96795i | −0.522797 | + | 0.139155i | ||||
\(201\) | 0.674511 | + | 0.264726i | 0.0475763 | + | 0.0186723i | ||||
\(202\) | 11.5541 | + | 21.8906i | 0.812941 | + | 1.54022i | ||||
\(203\) | 1.81073 | + | 11.1713i | 0.127088 | + | 0.784069i | ||||
\(204\) | 5.81029 | + | 0.882326i | 0.406802 | + | 0.0617752i | ||||
\(205\) | −14.4214 | + | 4.44840i | −1.00723 | + | 0.310690i | ||||
\(206\) | −0.662917 | + | 17.4588i | −0.0461876 | + | 1.21641i | ||||
\(207\) | −0.216433 | + | 0.701658i | −0.0150431 | + | 0.0487686i | ||||
\(208\) | 0.0147496 | − | 6.67661i | 0.00102270 | − | 0.462940i | ||||
\(209\) | −5.06178 | + | 1.15532i | −0.350131 | + | 0.0799151i | ||||
\(210\) | 6.85727 | + | 7.80050i | 0.473197 | + | 0.538286i | ||||
\(211\) | 8.35431 | + | 1.90682i | 0.575135 | + | 0.131271i | 0.500188 | − | 0.865917i | \(-0.333264\pi\) |
0.0749466 | + | 0.997188i | \(0.476121\pi\) | |||||||
\(212\) | 12.7176 | + | 18.6976i | 0.873446 | + | 1.28416i | ||||
\(213\) | 1.46904 | + | 2.15468i | 0.100657 | + | 0.147637i | ||||
\(214\) | −2.77381 | − | 3.76273i | −0.189614 | − | 0.257215i | ||||
\(215\) | −13.3984 | − | 23.2067i | −0.913763 | − | 1.58268i | ||||
\(216\) | 0.321340 | − | 2.81011i | 0.0218644 | − | 0.191204i | ||||
\(217\) | 3.70120 | − | 0.318682i | 0.251254 | − | 0.0216336i | ||||
\(218\) | −11.2669 | + | 0.415346i | −0.763091 | + | 0.0281308i | ||||
\(219\) | 5.90988 | − | 8.66820i | 0.399352 | − | 0.585743i | ||||
\(220\) | −0.0304719 | + | 27.5872i | −0.00205442 | + | 1.85993i | ||||
\(221\) | −3.59543 | − | 3.33607i | −0.241855 | − | 0.224408i | ||||
\(222\) | −1.31868 | − | 2.10124i | −0.0885038 | − | 0.141026i | ||||
\(223\) | 19.8943 | − | 9.58061i | 1.33222 | − | 0.641565i | 0.373958 | − | 0.927446i | \(-0.378000\pi\) |
0.958265 | + | 0.285880i | \(0.0922860\pi\) | |||||||
\(224\) | −11.2626 | + | 9.85669i | −0.752512 | + | 0.658578i | ||||
\(225\) | 2.43712 | + | 1.17366i | 0.162475 | + | 0.0782437i | ||||
\(226\) | 1.90658 | + | 17.0057i | 0.126824 | + | 1.13120i | ||||
\(227\) | 8.20617 | − | 14.2135i | 0.544663 | − | 0.943384i | −0.453965 | − | 0.891019i | \(-0.649991\pi\) |
0.998628 | − | 0.0523644i | \(-0.0166757\pi\) | |||||||
\(228\) | −2.03673 | − | 0.467237i | −0.134886 | − | 0.0309435i | ||||
\(229\) | −1.96280 | + | 13.0223i | −0.129705 | + | 0.860539i | 0.825459 | + | 0.564462i | \(0.190916\pi\) |
−0.955164 | + | 0.296076i | \(0.904322\pi\) | |||||||
\(230\) | 1.71294 | − | 2.31827i | 0.112948 | − | 0.152862i | ||||
\(231\) | 11.7814 | − | 5.83546i | 0.775160 | − | 0.383945i | ||||
\(232\) | −10.2547 | + | 6.41978i | −0.673254 | + | 0.421479i | ||||
\(233\) | 0.514827 | + | 6.86990i | 0.0337275 | + | 0.450062i | 0.988345 | + | 0.152228i | \(0.0486449\pi\) |
−0.954618 | + | 0.297833i | \(0.903736\pi\) | |||||||
\(234\) | −1.54074 | + | 1.78837i | −0.100721 | + | 0.116910i | ||||
\(235\) | −5.48084 | + | 2.15107i | −0.357531 | + | 0.140320i | ||||
\(236\) | 10.8463 | + | 6.27808i | 0.706032 | + | 0.408668i | ||||
\(237\) | −12.5643 | + | 10.0197i | −0.816138 | + | 0.650849i | ||||
\(238\) | −0.295299 | + | 10.9907i | −0.0191414 | + | 0.712422i | ||||
\(239\) | −4.31315 | − | 3.43962i | −0.278994 | − | 0.222491i | 0.473988 | − | 0.880531i | \(-0.342814\pi\) |
−0.752982 | + | 0.658041i | \(0.771385\pi\) | |||||||
\(240\) | −4.83956 | + | 9.99293i | −0.312393 | + | 0.645041i | ||||
\(241\) | 21.0121 | + | 1.57464i | 1.35351 | + | 0.101431i | 0.731639 | − | 0.681692i | \(-0.238756\pi\) |
0.621867 | + | 0.783123i | \(0.286375\pi\) | |||||||
\(242\) | 18.7028 | + | 5.02248i | 1.20226 | + | 0.322857i | ||||
\(243\) | −0.733052 | + | 0.680173i | −0.0470253 | + | 0.0436331i | ||||
\(244\) | 21.9661 | − | 20.3365i | 1.40624 | − | 1.30191i | ||||
\(245\) | −12.8969 | + | 14.5332i | −0.823955 | + | 0.928492i | ||||
\(246\) | −3.07867 | + | 7.04577i | −0.196289 | + | 0.449222i | ||||
\(247\) | 1.18620 | + | 1.27841i | 0.0754758 | + | 0.0813436i | ||||
\(248\) | 1.84989 | + | 3.51424i | 0.117468 | + | 0.223154i | ||||
\(249\) | −0.0883570 | + | 1.17904i | −0.00559940 | + | 0.0747187i | ||||
\(250\) | 6.36692 | + | 6.37395i | 0.402679 | + | 0.403124i | ||||
\(251\) | 9.37517 | − | 11.7561i | 0.591755 | − | 0.742038i | −0.392312 | − | 0.919832i | \(-0.628325\pi\) |
0.984068 | + | 0.177794i | \(0.0568962\pi\) | |||||||
\(252\) | 5.29124 | − | 0.0528405i | 0.333317 | − | 0.00332864i | ||||
\(253\) | −2.27500 | − | 2.85276i | −0.143028 | − | 0.179352i | ||||
\(254\) | 2.61098 | − | 23.0586i | 0.163828 | − | 1.44683i | ||||
\(255\) | 2.97991 | + | 7.59269i | 0.186609 | + | 0.475473i | ||||
\(256\) | −14.3847 | − | 7.00576i | −0.899043 | − | 0.437860i | ||||
\(257\) | 3.14679 | − | 0.235819i | 0.196291 | − | 0.0147100i | 0.0237784 | − | 0.999717i | \(-0.492430\pi\) |
0.172513 | + | 0.985007i | \(0.444811\pi\) | |||||||
\(258\) | −13.4131 | − | 2.54556i | −0.835061 | − | 0.158480i | ||||
\(259\) | 3.59621 | − | 2.93371i | 0.223457 | − | 0.182292i | ||||
\(260\) | 8.03009 | − | 4.62436i | 0.498005 | − | 0.286790i | ||||
\(261\) | 4.22967 | + | 0.637520i | 0.261810 | + | 0.0394615i | ||||
\(262\) | −15.8767 | + | 2.99496i | −0.980869 | + | 0.185029i | ||||
\(263\) | −21.8911 | − | 12.6388i | −1.34986 | − | 0.779344i | −0.361634 | − | 0.932320i | \(-0.617781\pi\) |
−0.988230 | + | 0.152976i | \(0.951114\pi\) | |||||||
\(264\) | 10.6382 | + | 9.18565i | 0.654737 | + | 0.565337i | ||||
\(265\) | −13.6170 | + | 28.2761i | −0.836489 | + | 1.73699i | ||||
\(266\) | 0.396745 | − | 3.88916i | 0.0243260 | − | 0.238460i | ||||
\(267\) | −4.59620 | − | 9.54410i | −0.281283 | − | 0.584090i | ||||
\(268\) | −1.43325 | + | 0.214409i | −0.0875497 | + | 0.0130971i | ||||
\(269\) | 0.254593 | − | 0.274386i | 0.0155228 | − | 0.0167296i | −0.725243 | − | 0.688493i | \(-0.758272\pi\) |
0.740766 | + | 0.671764i | \(0.234463\pi\) | |||||||
\(270\) | 3.59888 | − | 1.56781i | 0.219021 | − | 0.0954140i | ||||
\(271\) | 8.46968 | + | 5.77453i | 0.514496 | + | 0.350778i | 0.792569 | − | 0.609782i | \(-0.208743\pi\) |
−0.278073 | + | 0.960560i | \(0.589696\pi\) | |||||||
\(272\) | −10.9508 | + | 4.26997i | −0.663988 | + | 0.258905i | ||||
\(273\) | −3.67618 | − | 2.44710i | −0.222492 | − | 0.148105i | ||||
\(274\) | 20.5911 | + | 23.9540i | 1.24395 | + | 1.44711i | ||||
\(275\) | −11.6410 | + | 6.72091i | −0.701976 | + | 0.405286i | ||||
\(276\) | −0.325204 | − | 1.43210i | −0.0195750 | − | 0.0862023i | ||||
\(277\) | 4.80462 | − | 3.27573i | 0.288681 | − | 0.196820i | −0.410317 | − | 0.911943i | \(-0.634582\pi\) |
0.698998 | + | 0.715123i | \(0.253630\pi\) | |||||||
\(278\) | −7.72128 | − | 4.85755i | −0.463091 | − | 0.291337i | ||||
\(279\) | 0.312441 | − | 1.36890i | 0.0187054 | − | 0.0819536i | ||||
\(280\) | −19.6703 | − | 6.67532i | −1.17552 | − | 0.398927i | ||||
\(281\) | −4.06111 | − | 17.7929i | −0.242265 | − | 1.06143i | −0.938949 | − | 0.344055i | \(-0.888199\pi\) |
0.696684 | − | 0.717378i | \(-0.254658\pi\) | |||||||
\(282\) | −0.992318 | + | 2.83087i | −0.0590917 | + | 0.168576i | ||||
\(283\) | 7.90707 | + | 2.43901i | 0.470027 | + | 0.144984i | 0.520715 | − | 0.853730i | \(-0.325665\pi\) |
−0.0506884 | + | 0.998715i | \(0.516142\pi\) | |||||||
\(284\) | −4.69663 | − | 2.26817i | −0.278694 | − | 0.134591i | ||||
\(285\) | −0.854846 | − | 2.77134i | −0.0506367 | − | 0.164160i | ||||
\(286\) | −3.02972 | − | 11.3321i | −0.179151 | − | 0.670082i | ||||
\(287\) | −13.7920 | − | 4.08730i | −0.814113 | − | 0.241266i | ||||
\(288\) | 2.24780 | + | 5.19109i | 0.132453 | + | 0.305888i | ||||
\(289\) | 3.05626 | − | 7.78722i | 0.179780 | − | 0.458072i | ||||
\(290\) | −14.8412 | − | 7.85427i | −0.871503 | − | 0.461219i | ||||
\(291\) | −2.22791 | − | 14.7812i | −0.130602 | − | 0.866488i | ||||
\(292\) | −1.59112 | + | 20.9219i | −0.0931133 | + | 1.22436i | ||||
\(293\) | 17.1179i | 1.00004i | 0.866014 | + | 0.500020i | \(0.166674\pi\) | ||||
−0.866014 | + | 0.500020i | \(0.833326\pi\) | |||||||
\(294\) | 1.32089 | + | 9.81098i | 0.0770356 | + | 0.572188i | ||||
\(295\) | 17.3934i | 1.01268i | ||||||||
\(296\) | 4.38268 | + | 2.32561i | 0.254738 | + | 0.135174i | ||||
\(297\) | −0.740628 | − | 4.91375i | −0.0429756 | − | 0.285125i | ||||
\(298\) | −12.2435 | + | 23.1348i | −0.709245 | + | 1.34017i | ||||
\(299\) | −0.447772 | + | 1.14090i | −0.0258953 | + | 0.0659802i | ||||
\(300\) | −5.39531 | + | 0.398330i | −0.311499 | + | 0.0229976i | ||||
\(301\) | 1.62612 | − | 25.4896i | 0.0937282 | − | 1.46920i | ||||
\(302\) | −6.96749 | + | 1.86281i | −0.400934 | + | 0.107193i | ||||
\(303\) | 5.15904 | + | 16.7252i | 0.296379 | + | 0.960837i | ||||
\(304\) | 3.99630 | − | 1.22303i | 0.229204 | − | 0.0701459i | ||||
\(305\) | 39.7003 | + | 12.2459i | 2.27323 | + | 0.701200i | ||||
\(306\) | 3.92164 | + | 1.37467i | 0.224185 | + | 0.0785849i | ||||
\(307\) | −7.23271 | − | 31.6886i | −0.412793 | − | 1.80856i | −0.570758 | − | 0.821119i | \(-0.693350\pi\) |
0.157965 | − | 0.987445i | \(-0.449507\pi\) | |||||||
\(308\) | −14.5947 | + | 21.8726i | −0.831610 | + | 1.24631i | ||||
\(309\) | −2.74905 | + | 12.0444i | −0.156388 | + | 0.685180i | ||||
\(310\) | −2.93507 | + | 4.66541i | −0.166701 | + | 0.264978i | ||||
\(311\) | −2.33203 | + | 1.58995i | −0.132237 | + | 0.0901577i | −0.627632 | − | 0.778510i | \(-0.715976\pi\) |
0.495395 | + | 0.868668i | \(0.335023\pi\) | |||||||
\(312\) | 0.885389 | − | 4.63732i | 0.0501253 | − | 0.262537i | ||||
\(313\) | −15.9190 | + | 9.19085i | −0.899796 | + | 0.519498i | −0.877134 | − | 0.480245i | \(-0.840548\pi\) |
−0.0226623 | + | 0.999743i | \(0.507214\pi\) | |||||||
\(314\) | 7.88804 | − | 6.78063i | 0.445148 | − | 0.382653i | ||||
\(315\) | 3.74233 | + | 6.31901i | 0.210857 | + | 0.356036i | ||||
\(316\) | 11.7753 | − | 29.9059i | 0.662415 | − | 1.68234i | ||||
\(317\) | 18.8182 | + | 12.8300i | 1.05693 | + | 0.720606i | 0.961493 | − | 0.274829i | \(-0.0886213\pi\) |
0.0954417 | + | 0.995435i | \(0.469574\pi\) | |||||||
\(318\) | 6.38603 | + | 14.6590i | 0.358111 | + | 0.822037i | ||||
\(319\) | −14.4576 | + | 15.5815i | −0.809467 | + | 0.872398i | ||||
\(320\) | −1.58609 | − | 22.1496i | −0.0886652 | − | 1.23820i | ||||
\(321\) | −1.43419 | − | 2.97812i | −0.0800485 | − | 0.166222i | ||||
\(322\) | 2.58354 | − | 0.934694i | 0.143975 | − | 0.0520885i | ||||
\(323\) | 1.33209 | − | 2.76610i | 0.0741192 | − | 0.153910i | ||||
\(324\) | 0.591621 | − | 1.91049i | 0.0328678 | − | 0.106139i | ||||
\(325\) | 3.91016 | + | 2.25753i | 0.216897 | + | 0.125225i | ||||
\(326\) | 4.28287 | + | 22.7041i | 0.237206 | + | 1.25747i | ||||
\(327\) | −7.88327 | − | 1.18821i | −0.435946 | − | 0.0657082i | ||||
\(328\) | −1.69647 | − | 15.2842i | −0.0936721 | − | 0.843928i | ||||
\(329\) | −5.48483 | − | 1.18804i | −0.302388 | − | 0.0654985i | ||||
\(330\) | −3.63718 | + | 19.1650i | −0.200220 | + | 1.05500i | ||||
\(331\) | 18.6476 | − | 1.39744i | 1.02496 | − | 0.0768105i | 0.448376 | − | 0.893845i | \(-0.352003\pi\) |
0.576589 | + | 0.817034i | \(0.304383\pi\) | |||||||
\(332\) | −1.02365 | − | 2.13165i | −0.0561800 | − | 0.116989i | ||||
\(333\) | −0.640864 | − | 1.63289i | −0.0351191 | − | 0.0894821i | ||||
\(334\) | −27.7261 | − | 3.13949i | −1.51710 | − | 0.171785i | ||||
\(335\) | −1.25405 | − | 1.57253i | −0.0685159 | − | 0.0859162i | ||||
\(336\) | −9.11779 | + | 5.37269i | −0.497416 | + | 0.293104i | ||||
\(337\) | 5.30322 | − | 6.65003i | 0.288885 | − | 0.362250i | −0.616119 | − | 0.787653i | \(-0.711296\pi\) |
0.905004 | + | 0.425403i | \(0.139867\pi\) | |||||||
\(338\) | 10.2196 | − | 10.2083i | 0.555871 | − | 0.555257i | ||||
\(339\) | −0.904250 | + | 12.0664i | −0.0491121 | + | 0.655356i | ||||
\(340\) | −12.7428 | − | 10.1851i | −0.691076 | − | 0.552364i | ||||
\(341\) | 4.74578 | + | 5.11474i | 0.256999 | + | 0.276979i | ||||
\(342\) | −1.35398 | − | 0.591626i | −0.0732149 | − | 0.0319915i | ||||
\(343\) | −17.9088 | + | 4.71951i | −0.966986 | + | 0.254830i | ||||
\(344\) | 25.7876 | − | 8.97554i | 1.39037 | − | 0.483929i | ||||
\(345\) | 1.49411 | − | 1.38633i | 0.0804402 | − | 0.0746376i | ||||
\(346\) | −1.70608 | + | 6.35314i | −0.0917195 | + | 0.341547i | ||||
\(347\) | 8.95423 | + | 0.671027i | 0.480688 | + | 0.0360226i | 0.312871 | − | 0.949796i | \(-0.398709\pi\) |
0.167817 | + | 0.985818i | \(0.446328\pi\) | |||||||
\(348\) | −7.96697 | + | 3.11665i | −0.427075 | + | 0.167070i | ||||
\(349\) | 28.4120 | + | 22.6578i | 1.52086 | + | 1.21285i | 0.905312 | + | 0.424748i | \(0.139637\pi\) |
0.615549 | + | 0.788098i | \(0.288934\pi\) | |||||||
\(350\) | −1.98634 | − | 9.92435i | −0.106174 | − | 0.530479i | ||||
\(351\) | −1.30500 | + | 1.04070i | −0.0696557 | + | 0.0555486i | ||||
\(352\) | −27.6057 | − | 5.30229i | −1.47139 | − | 0.282613i | ||||
\(353\) | 17.0890 | − | 6.70692i | 0.909554 | − | 0.356973i | 0.136003 | − | 0.990708i | \(-0.456574\pi\) |
0.773550 | + | 0.633735i | \(0.218479\pi\) | |||||||
\(354\) | 6.71365 | + | 5.78402i | 0.356826 | + | 0.307417i | ||||
\(355\) | −0.540953 | − | 7.21852i | −0.0287108 | − | 0.383119i | ||||
\(356\) | 17.4918 | + | 11.9540i | 0.927061 | + | 0.633561i | ||||
\(357\) | −1.64580 | + | 7.59821i | −0.0871052 | + | 0.402140i | ||||
\(358\) | 21.8529 | + | 16.1468i | 1.15496 | + | 0.853385i | ||||
\(359\) | −4.37145 | + | 29.0027i | −0.230717 | + | 1.53070i | 0.510759 | + | 0.859724i | \(0.329365\pi\) |
−0.741475 | + | 0.670980i | \(0.765874\pi\) | |||||||
\(360\) | −4.67261 | + | 6.30926i | −0.246268 | + | 0.332527i | ||||
\(361\) | 8.95418 | − | 15.5091i | 0.471273 | − | 0.816268i | ||||
\(362\) | −3.93611 | + | 0.441292i | −0.206878 | + | 0.0231938i | ||||
\(363\) | 12.3374 | + | 5.94137i | 0.647544 | + | 0.311841i | ||||
\(364\) | 8.81380 | + | 0.572057i | 0.461969 | + | 0.0299839i | ||||
\(365\) | −26.2373 | + | 12.6352i | −1.37332 | + | 0.661358i | ||||
\(366\) | 17.9288 | − | 11.2516i | 0.937154 | − | 0.588131i | ||||
\(367\) | −18.4574 | − | 17.1259i | −0.963467 | − | 0.893967i | 0.0309467 | − | 0.999521i | \(-0.490148\pi\) |
−0.994414 | + | 0.105554i | \(0.966338\pi\) | |||||||
\(368\) | 1.99299 | + | 2.15747i | 0.103892 | + | 0.112466i | ||||
\(369\) | −3.06275 | + | 4.49223i | −0.159440 | + | 0.233856i | ||||
\(370\) | 0.253676 | + | 6.88135i | 0.0131880 | + | 0.357744i | ||||
\(371\) | −25.7387 | + | 15.2433i | −1.33629 | + | 0.791393i | ||||
\(372\) | 0.824766 | + | 2.68435i | 0.0427621 | + | 0.139177i | ||||
\(373\) | −8.31904 | − | 14.4090i | −0.430743 | − | 0.746069i | 0.566194 | − | 0.824272i | \(-0.308415\pi\) |
−0.996937 | + | 0.0782025i | \(0.975082\pi\) | |||||||
\(374\) | −16.6219 | + | 12.2533i | −0.859497 | + | 0.633605i | ||||
\(375\) | 3.58859 | + | 5.26350i | 0.185314 | + | 0.271806i | ||||
\(376\) | −1.10561 | − | 5.89675i | −0.0570174 | − | 0.304101i | ||||
\(377\) | 6.96072 | + | 1.58874i | 0.358495 | + | 0.0818242i | ||||
\(378\) | 3.68355 | + | 0.656836i | 0.189462 | + | 0.0337840i | ||||
\(379\) | 1.13606 | − | 0.259298i | 0.0583554 | − | 0.0133192i | −0.193244 | − | 0.981151i | \(-0.561901\pi\) |
0.251599 | + | 0.967832i | \(0.419044\pi\) | |||||||
\(380\) | 4.24762 | + | 3.94995i | 0.217898 | + | 0.202628i | ||||
\(381\) | 4.83667 | − | 15.6801i | 0.247790 | − | 0.803316i | ||||
\(382\) | 35.7104 | + | 1.35594i | 1.82710 | + | 0.0693759i | ||||
\(383\) | 5.33632 | − | 1.64604i | 0.272673 | − | 0.0841085i | −0.155403 | − | 0.987851i | \(-0.549668\pi\) |
0.428076 | + | 0.903743i | \(0.359191\pi\) | |||||||
\(384\) | −9.07694 | − | 6.75345i | −0.463206 | − | 0.344636i | ||||
\(385\) | −36.4204 | − | 2.32346i | −1.85615 | − | 0.118414i | ||||
\(386\) | 9.33557 | − | 4.92740i | 0.475168 | − | 0.250798i | ||||
\(387\) | −8.98643 | − | 3.52691i | −0.456806 | − | 0.179283i | ||||
\(388\) | 18.6142 | + | 23.3944i | 0.944993 | + | 1.18767i | ||||
\(389\) | −3.96177 | + | 0.597141i | −0.200870 | + | 0.0302762i | −0.248706 | − | 0.968579i | \(-0.580005\pi\) |
0.0478366 | + | 0.998855i | \(0.484767\pi\) | |||||||
\(390\) | 6.18587 | − | 2.16069i | 0.313234 | − | 0.109411i | ||||
\(391\) | 2.15765 | 0.109117 | ||||||||
\(392\) | −12.0815 | − | 15.6856i | −0.610208 | − | 0.792241i | ||||
\(393\) | −11.4246 | −0.576293 | ||||||||
\(394\) | 12.1473 | − | 4.24300i | 0.611972 | − | 0.213759i | ||||
\(395\) | 44.1096 | − | 6.64845i | 2.21940 | − | 0.334520i | ||||
\(396\) | 6.18797 | + | 7.77707i | 0.310957 | + | 0.390813i | ||||
\(397\) | 12.7051 | + | 4.98640i | 0.637652 | + | 0.250260i | 0.662070 | − | 0.749442i | \(-0.269678\pi\) |
−0.0244179 | + | 0.999702i | \(0.507773\pi\) | |||||||
\(398\) | 20.5286 | − | 10.8352i | 1.02901 | − | 0.543118i | ||||
\(399\) | 0.785453 | − | 2.65039i | 0.0393219 | − | 0.132685i | ||||
\(400\) | 8.95335 | − | 6.07536i | 0.447667 | − | 0.303768i | ||||
\(401\) | 0.905163 | − | 0.279206i | 0.0452017 | − | 0.0139429i | −0.272072 | − | 0.962277i | \(-0.587709\pi\) |
0.317274 | + | 0.948334i | \(0.397233\pi\) | |||||||
\(402\) | −1.02400 | − | 0.0388817i | −0.0510725 | − | 0.00193925i | ||||
\(403\) | 0.690806 | − | 2.23954i | 0.0344115 | − | 0.111559i | ||||
\(404\) | −25.6346 | − | 23.8382i | −1.27537 | − | 1.18599i | ||||
\(405\) | 2.70619 | − | 0.617671i | 0.134472 | − | 0.0306923i | ||||
\(406\) | −7.62721 | − | 14.0704i | −0.378532 | − | 0.698304i | ||||
\(407\) | 8.49828 | + | 1.93968i | 0.421244 | + | 0.0961462i | ||||
\(408\) | −8.16885 | + | 1.53162i | −0.404419 | + | 0.0758263i | ||||
\(409\) | −9.09469 | − | 13.3395i | −0.449703 | − | 0.659594i | 0.532713 | − | 0.846296i | \(-0.321172\pi\) |
−0.982417 | + | 0.186702i | \(0.940220\pi\) | |||||||
\(410\) | 17.1796 | − | 12.6645i | 0.848441 | − | 0.625454i | ||||
\(411\) | 11.1680 | + | 19.3435i | 0.550874 | + | 0.954142i | ||||
\(412\) | −7.25679 | − | 23.6185i | −0.357516 | − | 1.16360i | ||||
\(413\) | −9.18653 | + | 13.8006i | −0.452040 | + | 0.679081i | ||||
\(414\) | −0.0382550 | − | 1.03772i | −0.00188013 | − | 0.0510013i | ||||
\(415\) | 1.84879 | − | 2.71167i | 0.0907534 | − | 0.133111i | ||||
\(416\) | 3.09393 | + | 8.92089i | 0.151692 | + | 0.437383i | ||||
\(417\) | −4.72844 | − | 4.38735i | −0.231553 | − | 0.214849i | ||||
\(418\) | 6.21926 | − | 3.90303i | 0.304194 | − | 0.190903i | ||||
\(419\) | 12.9880 | − | 6.25469i | 0.634505 | − | 0.305561i | −0.0888426 | − | 0.996046i | \(-0.528317\pi\) |
0.723347 | + | 0.690484i | \(0.242603\pi\) | |||||||
\(420\) | −12.7930 | − | 7.21666i | −0.624233 | − | 0.352137i | ||||
\(421\) | 3.56491 | + | 1.71677i | 0.173743 | + | 0.0836703i | 0.518734 | − | 0.854936i | \(-0.326404\pi\) |
−0.344991 | + | 0.938606i | \(0.612118\pi\) | |||||||
\(422\) | −12.0432 | + | 1.35020i | −0.586252 | + | 0.0657269i | ||||
\(423\) | −1.06057 | + | 1.83696i | −0.0515668 | + | 0.0893162i | ||||
\(424\) | −25.6989 | − | 19.0325i | −1.24805 | − | 0.924301i | ||||
\(425\) | 1.18466 | − | 7.85973i | 0.0574647 | − | 0.381253i | ||||
\(426\) | −2.96616 | − | 2.19166i | −0.143711 | − | 0.106186i | ||||
\(427\) | 25.0319 | + | 30.6846i | 1.21138 | + | 1.48493i | ||||
\(428\) | 5.45809 | + | 3.73010i | 0.263826 | + | 0.180301i | ||||
\(429\) | −0.619846 | − | 8.27126i | −0.0299264 | − | 0.399340i | ||||
\(430\) | 28.7107 | + | 24.7352i | 1.38455 | + | 1.19284i | ||||
\(431\) | 13.7637 | − | 5.40186i | 0.662975 | − | 0.260199i | −0.00990410 | − | 0.999951i | \(-0.503153\pi\) |
0.672879 | + | 0.739752i | \(0.265057\pi\) | |||||||
\(432\) | 0.881467 | + | 3.90167i | 0.0424096 | + | 0.187719i | ||||
\(433\) | −24.6828 | + | 19.6839i | −1.18618 | + | 0.945948i | −0.999336 | − | 0.0364418i | \(-0.988398\pi\) |
−0.186845 | + | 0.982389i | \(0.559826\pi\) | |||||||
\(434\) | −4.79290 | + | 2.15152i | −0.230066 | + | 0.103276i | ||||
\(435\) | −9.28291 | − | 7.40287i | −0.445081 | − | 0.354941i | ||||
\(436\) | 14.8489 | − | 5.80883i | 0.711131 | − | 0.278192i | ||||
\(437\) | −0.765042 | − | 0.0573320i | −0.0365969 | − | 0.00274256i | ||||
\(438\) | −3.84794 | + | 14.3291i | −0.183862 | + | 0.684669i | ||||
\(439\) | −17.6527 | + | 16.3793i | −0.842517 | + | 0.781742i | −0.977905 | − | 0.209051i | \(-0.932963\pi\) |
0.135387 | + | 0.990793i | \(0.456772\pi\) | |||||||
\(440\) | −12.8245 | − | 36.8461i | −0.611385 | − | 1.75657i | ||||
\(441\) | −0.368160 | + | 6.99031i | −0.0175314 | + | 0.332872i | ||||
\(442\) | 6.35606 | + | 2.77730i | 0.302327 | + | 0.132103i | ||||
\(443\) | −8.90459 | − | 9.59686i | −0.423070 | − | 0.455961i | 0.485164 | − | 0.874423i | \(-0.338760\pi\) |
−0.908234 | + | 0.418462i | \(0.862569\pi\) | |||||||
\(444\) | 2.74049 | + | 2.19042i | 0.130058 | + | 0.103953i | ||||
\(445\) | −2.19739 | + | 29.3221i | −0.104166 | + | 1.39000i | ||||
\(446\) | −22.0932 | + | 22.0689i | −1.04615 | + | 1.04499i | ||||
\(447\) | −11.5398 | + | 14.4705i | −0.545814 | + | 0.684430i | ||||
\(448\) | 10.4401 | − | 18.4121i | 0.493250 | − | 0.869888i | ||||
\(449\) | −25.1470 | − | 31.5334i | −1.18676 | − | 1.48815i | −0.833406 | − | 0.552662i | \(-0.813612\pi\) |
−0.353355 | − | 0.935489i | \(-0.614959\pi\) | |||||||
\(450\) | −3.80116 | − | 0.430414i | −0.179188 | − | 0.0202899i | ||||
\(451\) | −9.87065 | − | 25.1500i | −0.464791 | − | 1.18427i | ||||
\(452\) | −10.4761 | − | 21.8154i | −0.492753 | − | 1.02611i | ||||
\(453\) | −5.08554 | + | 0.381109i | −0.238940 | + | 0.0179060i | ||||
\(454\) | −4.32771 | + | 22.8035i | −0.203109 | + | 1.07022i | ||||
\(455\) | 5.44086 | + | 10.9847i | 0.255072 | + | 0.514972i | ||||
\(456\) | 2.93715 | − | 0.326010i | 0.137545 | − | 0.0152668i | ||||
\(457\) | −5.24380 | − | 0.790375i | −0.245295 | − | 0.0369722i | 0.0252441 | − | 0.999681i | \(-0.491964\pi\) |
−0.270539 | + | 0.962709i | \(0.587202\pi\) | |||||||
\(458\) | −3.45238 | − | 18.3016i | −0.161319 | − | 0.855176i | ||||
\(459\) | 2.54477 | + | 1.46923i | 0.118780 | + | 0.0685776i | ||||
\(460\) | −1.20584 | + | 3.89398i | −0.0562228 | + | 0.181558i | ||||
\(461\) | 16.8345 | − | 34.9572i | 0.784062 | − | 1.62812i | 0.00595974 | − | 0.999982i | \(-0.498103\pi\) |
0.778102 | − | 0.628138i | \(-0.216183\pi\) | |||||||
\(462\) | −13.0081 | + | 13.2852i | −0.605193 | + | 0.618084i | ||||
\(463\) | −0.404783 | − | 0.840540i | −0.0188118 | − | 0.0390632i | 0.891351 | − | 0.453313i | \(-0.149758\pi\) |
−0.910163 | + | 0.414250i | \(0.864044\pi\) | |||||||
\(464\) | 10.6973 | − | 13.3534i | 0.496610 | − | 0.619915i | ||||
\(465\) | −2.65096 | + | 2.85706i | −0.122935 | + | 0.132493i | ||||
\(466\) | −3.89111 | − | 8.93198i | −0.180252 | − | 0.413766i | ||||
\(467\) | 7.95438 | + | 5.42320i | 0.368085 | + | 0.250956i | 0.733210 | − | 0.680003i | \(-0.238021\pi\) |
−0.365125 | + | 0.930959i | \(0.618974\pi\) | |||||||
\(468\) | 1.22305 | − | 3.10620i | 0.0565357 | − | 0.143584i | ||||
\(469\) | −0.164459 | − | 1.91004i | −0.00759402 | − | 0.0881976i | ||||
\(470\) | 6.31438 | − | 5.42789i | 0.291261 | − | 0.250370i | ||||
\(471\) | 6.36980 | − | 3.67760i | 0.293505 | − | 0.169455i | ||||
\(472\) | −17.4087 | − | 3.32380i | −0.801302 | − | 0.152990i | ||||
\(473\) | 39.6363 | − | 27.0236i | 1.82248 | − | 1.24254i | ||||
\(474\) | 12.1021 | − | 19.2367i | 0.555866 | − | 0.883572i | ||||
\(475\) | −0.628895 | + | 2.75537i | −0.0288557 | + | 0.126425i | ||||
\(476\) | −4.73124 | − | 14.8115i | −0.216856 | − | 0.678885i | ||||
\(477\) | 2.51590 | + | 11.0229i | 0.115195 | + | 0.504704i | ||||
\(478\) | 7.36259 | + | 2.58085i | 0.336757 | + | 0.118045i | ||||
\(479\) | −3.82430 | − | 1.17964i | −0.174737 | − | 0.0538991i | 0.206152 | − | 0.978520i | \(-0.433906\pi\) |
−0.380889 | + | 0.924621i | \(0.624382\pi\) | |||||||
\(480\) | 1.80117 | − | 15.5986i | 0.0822119 | − | 0.711975i | ||||
\(481\) | −0.863030 | − | 2.79787i | −0.0393508 | − | 0.127572i | ||||
\(482\) | −28.7877 | + | 7.69662i | −1.31125 | + | 0.350571i | ||||
\(483\) | 1.91769 | − | 0.310835i | 0.0872581 | − | 0.0141435i | ||||
\(484\) | −27.3126 | + | 2.01646i | −1.24148 | + | 0.0916572i | ||||
\(485\) | −15.1591 | + | 38.6246i | −0.688337 | + | 1.75385i | ||||
\(486\) | 0.661508 | − | 1.24996i | 0.0300066 | − | 0.0566995i | ||||
\(487\) | −3.77151 | − | 25.0223i | −0.170903 | − | 1.13387i | −0.895619 | − | 0.444822i | \(-0.853267\pi\) |
0.724715 | − | 0.689048i | \(-0.241971\pi\) | |||||||
\(488\) | −19.8433 | + | 37.3953i | −0.898265 | + | 1.69280i | ||||
\(489\) | 16.3374i | 0.738803i | ||||||||
\(490\) | 10.4413 | − | 25.4179i | 0.471690 | − | 1.14826i | ||||
\(491\) | − | 19.7225i | − | 0.890064i | −0.895515 | − | 0.445032i | \(-0.853192\pi\) | ||
0.895515 | − | 0.445032i | \(-0.146808\pi\) | |||||||
\(492\) | 0.824586 | − | 10.8426i | 0.0371752 | − | 0.488823i | ||||
\(493\) | −1.87332 | − | 12.4287i | −0.0843702 | − | 0.559760i | ||||
\(494\) | −2.17989 | − | 1.15365i | −0.0980778 | − | 0.0519049i | ||||
\(495\) | −5.03936 | + | 12.8401i | −0.226503 | + | 0.577119i | ||||
\(496\) | −4.10866 | − | 3.82921i | −0.184484 | − | 0.171936i | ||||
\(497\) | 3.38334 | − | 6.01317i | 0.151764 | − | 0.269727i | ||||
\(498\) | −0.431877 | − | 1.61536i | −0.0193529 | − | 0.0723858i | ||||
\(499\) | 3.29085 | + | 10.6687i | 0.147319 | + | 0.477595i | 0.998913 | − | 0.0466056i | \(-0.0148404\pi\) |
−0.851595 | + | 0.524201i | \(0.824364\pi\) | |||||||
\(500\) | −11.4730 | − | 5.54073i | −0.513089 | − | 0.247789i | ||||
\(501\) | −18.8540 | − | 5.81569i | −0.842335 | − | 0.259826i | ||||
\(502\) | −7.03446 | + | 20.0678i | −0.313963 | + | 0.895668i | ||||
\(503\) | 1.35101 | + | 5.91915i | 0.0602384 | + | 0.263922i | 0.996075 | − | 0.0885122i | \(-0.0282112\pi\) |
−0.935837 | + | 0.352434i | \(0.885354\pi\) | |||||||
\(504\) | −7.03975 | + | 2.53811i | −0.313575 | + | 0.113056i | ||||
\(505\) | 10.8110 | − | 47.3659i | 0.481082 | − | 2.10776i | ||||
\(506\) | 4.36776 | + | 2.74781i | 0.194171 | + | 0.122155i | ||||
\(507\) | 8.43913 | − | 5.75370i | 0.374795 | − | 0.255531i | ||||
\(508\) | 7.26740 | + | 32.0034i | 0.322439 | + | 1.41992i | ||||
\(509\) | −23.4972 | + | 13.5661i | −1.04149 | + | 0.601306i | −0.920256 | − | 0.391317i | \(-0.872020\pi\) |
−0.121237 | + | 0.992624i | \(0.538686\pi\) | |||||||
\(510\) | −7.51935 | − | 8.74741i | −0.332962 | − | 0.387342i | ||||
\(511\) | −27.4912 | − | 3.83231i | −1.21614 | − | 0.169531i | ||||
\(512\) | 22.4723 | + | 2.64520i | 0.993143 | + | 0.116902i | ||||
\(513\) | −0.863268 | − | 0.588566i | −0.0381142 | − | 0.0259858i | ||||
\(514\) | −4.09134 | + | 1.78234i | −0.180461 | + | 0.0786158i | ||||
\(515\) | 23.3247 | − | 25.1381i | 1.02781 | − | 1.10772i | ||||
\(516\) | 19.0950 | − | 2.85655i | 0.840612 | − | 0.125752i | ||||
\(517\) | −4.57335 | − | 9.49666i | −0.201136 | − | 0.417662i | ||||
\(518\) | −3.43320 | + | 5.59391i | −0.150846 | + | 0.245782i | ||||
\(519\) | −2.01822 | + | 4.19087i | −0.0885898 | + | 0.183959i | ||||
\(520\) | −8.56450 | + | 9.91884i | −0.375578 | + | 0.434970i | ||||
\(521\) | 13.9578 | + | 8.05852i | 0.611501 | + | 0.353050i | 0.773553 | − | 0.633732i | \(-0.218478\pi\) |
−0.162052 | + | 0.986782i | \(0.551811\pi\) | |||||||
\(522\) | −5.94438 | + | 1.12134i | −0.260179 | + | 0.0490796i | ||||
\(523\) | 21.8962 | + | 3.30033i | 0.957456 | + | 0.144313i | 0.609139 | − | 0.793064i | \(-0.291515\pi\) |
0.348317 | + | 0.937377i | \(0.386753\pi\) | |||||||
\(524\) | 19.8005 | − | 11.4027i | 0.864990 | − | 0.498129i | ||||
\(525\) | −0.0793715 | − | 7.15632i | −0.00346406 | − | 0.312327i | ||||
\(526\) | 35.1211 | + | 6.66537i | 1.53135 | + | 0.290624i | ||||
\(527\) | −4.11434 | + | 0.308327i | −0.179224 | + | 0.0134309i | ||||
\(528\) | −18.4869 | − | 7.30274i | −0.804539 | − | 0.317811i | ||||
\(529\) | 8.20586 | + | 20.9082i | 0.356777 | + | 0.909052i | ||||
\(530\) | 4.99377 | − | 44.1020i | 0.216915 | − | 1.91567i | ||||
\(531\) | 3.90685 | + | 4.89903i | 0.169543 | + | 0.212600i | ||||
\(532\) | 1.28400 | + | 5.37748i | 0.0556686 | + | 0.233143i | ||||
\(533\) | −5.65826 | + | 7.09523i | −0.245086 | + | 0.307329i | ||||
\(534\) | 10.5873 | + | 10.5990i | 0.458157 | + | 0.458664i | ||||
\(535\) | −0.685668 | + | 9.14961i | −0.0296440 | + | 0.395572i | ||||
\(536\) | 1.81356 | − | 0.954653i | 0.0783338 | − | 0.0412347i | ||||
\(537\) | 13.0681 | + | 14.0840i | 0.563929 | + | 0.607770i | ||||
\(538\) | −0.211950 | + | 0.485065i | −0.00913783 | + | 0.0209126i | ||||
\(539\) | −27.6702 | − | 21.0794i | −1.19184 | − | 0.907955i | ||||
\(540\) | −4.07376 | + | 3.77153i | −0.175307 | + | 0.162301i | ||||
\(541\) | 27.6878 | − | 25.6905i | 1.19039 | − | 1.10452i | 0.198151 | − | 0.980171i | \(-0.436506\pi\) |
0.992239 | − | 0.124349i | \(-0.0396842\pi\) | |||||||
\(542\) | −14.0009 | − | 3.75982i | −0.601390 | − | 0.161498i | ||||
\(543\) | −2.79286 | − | 0.209296i | −0.119853 | − | 0.00898174i | ||||
\(544\) | 12.6292 | − | 10.8077i | 0.541473 | − | 0.463378i | ||||
\(545\) | 17.3015 | + | 13.7975i | 0.741115 | + | 0.591019i | ||||
\(546\) | 6.04930 | + | 1.55277i | 0.258886 | + | 0.0664524i | ||||
\(547\) | 18.9733 | − | 15.1307i | 0.811240 | − | 0.646942i | −0.127396 | − | 0.991852i | \(-0.540662\pi\) |
0.938636 | + | 0.344910i | \(0.112090\pi\) | |||||||
\(548\) | −38.6622 | − | 22.3786i | −1.65157 | − | 0.955967i | ||||
\(549\) | 13.9327 | − | 5.46817i | 0.594632 | − | 0.233376i | ||||
\(550\) | 12.4077 | − | 14.4019i | 0.529065 | − | 0.614099i | ||||
\(551\) | 0.333980 | + | 4.45665i | 0.0142280 | + | 0.189860i | ||||
\(552\) | 1.10204 | + | 1.76035i | 0.0469059 | + | 0.0749256i | ||||
\(553\) | 38.5097 | + | 18.0219i | 1.63760 | + | 0.766371i | ||||
\(554\) | −4.88706 | + | 6.61409i | −0.207631 | + | 0.281006i | ||||
\(555\) | −0.725710 | + | 4.81477i | −0.0308047 | + | 0.204376i | ||||
\(556\) | 12.5741 | + | 2.88456i | 0.533259 | + | 0.122333i | ||||
\(557\) | 15.8160 | − | 27.3941i | 0.670146 | − | 1.16073i | −0.307717 | − | 0.951478i | \(-0.599565\pi\) |
0.977862 | − | 0.209249i | \(-0.0671018\pi\) | |||||||
\(558\) | 0.221238 | + | 1.97333i | 0.00936573 | + | 0.0835378i | ||||
\(559\) | −14.5179 | − | 6.99144i | −0.614041 | − | 0.295706i | ||||
\(560\) | 29.3750 | − | 0.260902i | 1.24132 | − | 0.0110251i | ||||
\(561\) | −13.1559 | + | 6.33553i | −0.555441 | + | 0.267486i | ||||
\(562\) | 13.7197 | + | 21.8616i | 0.578730 | + | 0.922174i | ||||
\(563\) | −14.1840 | − | 13.1609i | −0.597786 | − | 0.554664i | 0.322172 | − | 0.946681i | \(-0.395587\pi\) |
−0.919958 | + | 0.392017i | \(0.871778\pi\) | |||||||
\(564\) | 0.00468590 | − | 4.24228i | 0.000197312 | − | 0.178632i | ||||
\(565\) | 18.9206 | − | 27.7514i | 0.795995 | − | 1.16751i | ||||
\(566\) | −11.6942 | + | 0.431100i | −0.491546 | + | 0.0181205i | ||||
\(567\) | 2.47343 | + | 0.939228i | 0.103874 | + | 0.0394439i | ||||
\(568\) | 7.32828 | + | 0.837997i | 0.307488 | + | 0.0351616i | ||||
\(569\) | −11.1133 | − | 19.2489i | −0.465896 | − | 0.806955i | 0.533346 | − | 0.845897i | \(-0.320935\pi\) |
−0.999241 | + | 0.0389422i | \(0.987601\pi\) | |||||||
\(570\) | 2.43372 | + | 3.30139i | 0.101937 | + | 0.138280i | ||||
\(571\) | 8.49018 | + | 12.4528i | 0.355303 | + | 0.521134i | 0.961728 | − | 0.274007i | \(-0.0883492\pi\) |
−0.606425 | + | 0.795141i | \(0.707397\pi\) | |||||||
\(572\) | 9.32972 | + | 13.7167i | 0.390095 | + | 0.573525i | ||||
\(573\) | 24.6357 | + | 5.62294i | 1.02917 | + | 0.234902i | ||||
\(574\) | 20.3199 | − | 0.974847i | 0.848136 | − | 0.0406893i | ||||
\(575\) | −1.93643 | + | 0.441977i | −0.0807546 | + | 0.0184317i | ||||
\(576\) | −5.42192 | − | 5.88241i | −0.225913 | − | 0.245101i | ||||
\(577\) | −7.01060 | + | 22.7278i | −0.291855 | + | 0.946170i | 0.684319 | + | 0.729182i | \(0.260099\pi\) |
−0.976174 | + | 0.216988i | \(0.930377\pi\) | |||||||
\(578\) | −0.448889 | + | 11.8221i | −0.0186713 | + | 0.491734i | ||||
\(579\) | 7.13270 | − | 2.20015i | 0.296425 | − | 0.0914350i | ||||
\(580\) | 23.4774 | + | 3.56518i | 0.974847 | + | 0.148036i | ||||
\(581\) | 2.89910 | − | 1.17508i | 0.120275 | − | 0.0487507i | ||||
\(582\) | 9.86767 | + | 18.6955i | 0.409028 | + | 0.774955i | ||||
\(583\) | −52.3004 | − | 20.5264i | −2.16606 | − | 0.850116i | ||||
\(584\) | −7.63256 | − | 28.6750i | −0.315837 | − | 1.18658i | ||||
\(585\) | 4.58148 | − | 0.690546i | 0.189421 | − | 0.0285506i | ||||
\(586\) | −7.98290 | − | 22.8543i | −0.329771 | − | 0.944103i | ||||
\(587\) | 17.1712 | 0.708731 | 0.354365 | − | 0.935107i | \(-0.384697\pi\) | ||||
0.354365 | + | 0.935107i | \(0.384697\pi\) | |||||||
\(588\) | −6.33886 | − | 12.4827i | −0.261410 | − | 0.514780i | ||||
\(589\) | 1.46703 | 0.0604477 | ||||||||
\(590\) | −8.11136 | − | 23.2221i | −0.333939 | − | 0.956037i | ||||
\(591\) | 8.99673 | − | 1.35604i | 0.370076 | − | 0.0557800i | ||||
\(592\) | −6.93591 | − | 1.06110i | −0.285064 | − | 0.0436108i | ||||
\(593\) | −3.85779 | − | 1.51407i | −0.158420 | − | 0.0621754i | 0.284806 | − | 0.958585i | \(-0.408071\pi\) |
−0.443226 | + | 0.896410i | \(0.646166\pi\) | |||||||
\(594\) | 3.28034 | + | 6.21501i | 0.134594 | + | 0.255005i | ||||
\(595\) | 14.5019 | − | 15.9812i | 0.594519 | − | 0.655164i | ||||
\(596\) | 5.55750 | − | 36.5973i | 0.227644 | − | 1.49908i | ||||
\(597\) | 15.6846 | − | 4.83805i | 0.641926 | − | 0.198008i | ||||
\(598\) | 0.0657667 | − | 1.73205i | 0.00268940 | − | 0.0708288i | ||||
\(599\) | −12.5822 | + | 40.7904i | −0.514093 | + | 1.66665i | 0.210596 | + | 0.977573i | \(0.432459\pi\) |
−0.724689 | + | 0.689076i | \(0.758017\pi\) | |||||||
\(600\) | 7.01758 | − | 3.04791i | 0.286492 | − | 0.124430i | ||||
\(601\) | −15.5000 | + | 3.53778i | −0.632259 | + | 0.144309i | −0.526627 | − | 0.850096i | \(-0.676544\pi\) |
−0.105632 | + | 0.994405i | \(0.533686\pi\) | |||||||
\(602\) | 9.71598 | + | 34.7898i | 0.395994 | + | 1.41793i | ||||
\(603\) | −0.706432 | − | 0.161239i | −0.0287682 | − | 0.00656614i | ||||
\(604\) | 8.43365 | − | 5.73633i | 0.343160 | − | 0.233408i | ||||
\(605\) | −21.4119 | − | 31.4054i | −0.870516 | − | 1.27681i | ||||
\(606\) | −14.6876 | − | 19.9241i | −0.596645 | − | 0.809360i | ||||
\(607\) | 4.54878 | + | 7.87872i | 0.184629 | + | 0.319787i | 0.943452 | − | 0.331510i | \(-0.107558\pi\) |
−0.758822 | + | 0.651298i | \(0.774225\pi\) | |||||||
\(608\) | −4.76515 | + | 3.49655i | −0.193252 | + | 0.141804i | ||||
\(609\) | −3.45549 | − | 10.7766i | −0.140024 | − | 0.436690i | ||||
\(610\) | −58.7152 | + | 2.16449i | −2.37731 | + | 0.0876378i | ||||
\(611\) | −1.99445 | + | 2.92531i | −0.0806866 | + | 0.118346i | ||||
\(612\) | −5.87690 | − | 0.00649144i | −0.237560 | − | 0.000262401i | ||||
\(613\) | −14.8010 | − | 13.7333i | −0.597806 | − | 0.554683i | 0.322158 | − | 0.946686i | \(-0.395592\pi\) |
−0.919964 | + | 0.392003i | \(0.871782\pi\) | |||||||
\(614\) | 24.4344 | + | 38.9348i | 0.986091 | + | 1.57128i | ||||
\(615\) | 13.5973 | − | 6.54811i | 0.548296 | − | 0.264045i | ||||
\(616\) | 9.28529 | − | 36.0086i | 0.374115 | − | 1.45083i | ||||
\(617\) | 7.05649 | + | 3.39823i | 0.284084 | + | 0.136807i | 0.570500 | − | 0.821298i | \(-0.306750\pi\) |
−0.286416 | + | 0.958105i | \(0.592464\pi\) | |||||||
\(618\) | −1.94658 | − | 17.3626i | −0.0783030 | − | 0.698425i | ||||
\(619\) | −18.3723 | + | 31.8217i | −0.738443 | + | 1.27902i | 0.214753 | + | 0.976668i | \(0.431105\pi\) |
−0.953196 | + | 0.302353i | \(0.902228\pi\) | |||||||
\(620\) | 1.74294 | − | 7.59761i | 0.0699980 | − | 0.305127i | ||||
\(621\) | 0.109439 | − | 0.726078i | 0.00439162 | − | 0.0291365i | ||||
\(622\) | 2.37204 | − | 3.21029i | 0.0951102 | − | 0.128721i | ||||
\(623\) | −17.2304 | + | 22.1047i | −0.690320 | + | 0.885607i | ||||
\(624\) | 0.980512 | + | 6.60424i | 0.0392519 | + | 0.264381i | ||||
\(625\) | −2.33217 | − | 31.1207i | −0.0932870 | − | 1.24483i | ||||
\(626\) | 16.9675 | − | 19.6946i | 0.678159 | − | 0.787155i | ||||
\(627\) | 4.83306 | − | 1.89683i | 0.193014 | − | 0.0757523i | ||||
\(628\) | −7.36927 | + | 12.7315i | −0.294066 | + | 0.508041i | ||||
\(629\) | −4.02995 | + | 3.21377i | −0.160684 | + | 0.128142i | ||||
\(630\) | −7.94329 | − | 6.69135i | −0.316468 | − | 0.266590i | ||||
\(631\) | 34.2227 | + | 27.2917i | 1.36239 | + | 1.08647i | 0.987195 | + | 0.159519i | \(0.0509942\pi\) |
0.375191 | + | 0.926948i | \(0.377577\pi\) | |||||||
\(632\) | −1.77483 | + | 45.4191i | −0.0705988 | + | 1.80667i | ||||
\(633\) | −8.54520 | − | 0.640374i | −0.339641 | − | 0.0254526i | ||||
\(634\) | −31.1076 | − | 8.35368i | −1.23544 | − | 0.331767i | ||||
\(635\) | −33.3892 | + | 30.9807i | −1.32501 | + | 1.22943i | ||||
\(636\) | −15.3623 | − | 16.5933i | −0.609153 | − | 0.657967i | ||||
\(637\) | −1.48474 | + | 11.5894i | −0.0588276 | + | 0.459188i | ||||
\(638\) | 12.0360 | − | 27.5453i | 0.476510 | − | 1.09053i | ||||
\(639\) | −1.77377 | − | 1.91167i | −0.0701693 | − | 0.0756245i | ||||
\(640\) | 12.4470 | + | 28.8325i | 0.492012 | + | 1.13970i | ||||
\(641\) | −1.90320 | + | 25.3964i | −0.0751718 | + | 1.00310i | 0.824310 | + | 0.566139i | \(0.191563\pi\) |
−0.899482 | + | 0.436959i | \(0.856056\pi\) | |||||||
\(642\) | 3.30364 | + | 3.30729i | 0.130384 | + | 0.130528i | ||||
\(643\) | 13.1527 | − | 16.4930i | 0.518693 | − | 0.650420i | −0.451638 | − | 0.892201i | \(-0.649160\pi\) |
0.970331 | + | 0.241781i | \(0.0777316\pi\) | |||||||
\(644\) | −3.01342 | + | 2.45275i | −0.118745 | + | 0.0966518i | ||||
\(645\) | 16.7075 | + | 20.9506i | 0.657858 | + | 0.824928i | ||||
\(646\) | −0.488515 | + | 4.31427i | −0.0192203 | + | 0.169743i | ||||
\(647\) | −5.78889 | − | 14.7498i | −0.227585 | − | 0.579876i | 0.770776 | − | 0.637106i | \(-0.219869\pi\) |
−0.998361 | + | 0.0572295i | \(0.981773\pi\) | |||||||
\(648\) | 0.101075 | + | 2.82662i | 0.00397061 | + | 0.111040i | ||||
\(649\) | −31.0507 | + | 2.32693i | −1.21885 | + | 0.0913401i | ||||
\(650\) | −6.27329 | − | 1.19056i | −0.246059 | − | 0.0466976i | ||||
\(651\) | −3.61237 | + | 0.866758i | −0.141580 | + | 0.0339709i | ||||
\(652\) | −16.3061 | − | 28.3152i | −0.638597 | − | 1.10891i | ||||
\(653\) | −16.1213 | − | 2.42990i | −0.630875 | − | 0.0950892i | −0.174182 | − | 0.984713i | \(-0.555728\pi\) |
−0.456693 | + | 0.889624i | \(0.650966\pi\) | |||||||
\(654\) | 11.0792 | − | 2.08995i | 0.433229 | − | 0.0817236i | ||||
\(655\) | 27.4635 | + | 15.8561i | 1.07309 | + | 0.619548i | ||||
\(656\) | 9.39273 | + | 19.6149i | 0.366725 | + | 0.765835i | ||||
\(657\) | −4.55194 | + | 9.45220i | −0.177588 | + | 0.368766i | ||||
\(658\) | 7.87688 | − | 0.971678i | 0.307073 | − | 0.0378800i | ||||
\(659\) | 8.19896 | + | 17.0253i | 0.319386 | + | 0.663212i | 0.997418 | − | 0.0718210i | \(-0.0228810\pi\) |
−0.678032 | + | 0.735033i | \(0.737167\pi\) | |||||||
\(660\) | −4.08152 | − | 27.2836i | −0.158873 | − | 1.06201i | ||||
\(661\) | −7.99548 | + | 8.61708i | −0.310988 | + | 0.335165i | −0.869133 | − | 0.494578i | \(-0.835323\pi\) |
0.558145 | + | 0.829743i | \(0.311513\pi\) | |||||||
\(662\) | −24.2449 | + | 10.5620i | −0.942305 | + | 0.410504i | ||||
\(663\) | 4.05248 | + | 2.76294i | 0.157385 | + | 0.107304i | ||||
\(664\) | 2.36077 | + | 2.36861i | 0.0916158 | + | 0.0919199i | ||||
\(665\) | −5.56661 | + | 5.28115i | −0.215864 | + | 0.204794i | ||||
\(666\) | 1.61712 | + | 1.88123i | 0.0626622 | + | 0.0728961i | ||||
\(667\) | −2.72005 | + | 1.57042i | −0.105321 | + | 0.0608069i | ||||
\(668\) | 38.4815 | − | 8.73843i | 1.48889 | − | 0.338100i | ||||
\(669\) | −18.2442 | + | 12.4387i | −0.705362 | + | 0.480908i | ||||
\(670\) | 2.40763 | + | 1.51467i | 0.0930150 | + | 0.0585169i | ||||
\(671\) | −16.5503 | + | 72.5116i | −0.638917 | + | 2.79928i | ||||
\(672\) | 9.66772 | − | 11.4252i | 0.372940 | − | 0.440737i | ||||
\(673\) | 5.35931 | + | 23.4807i | 0.206586 | + | 0.905114i | 0.966819 | + | 0.255463i | \(0.0822279\pi\) |
−0.760232 | + | 0.649651i | \(0.774915\pi\) | |||||||
\(674\) | −3.97916 | + | 11.3517i | −0.153272 | + | 0.437250i | ||||
\(675\) | −2.58482 | − | 0.797313i | −0.0994899 | − | 0.0306886i | ||||
\(676\) | −8.88363 | + | 18.3950i | −0.341678 | + | 0.707502i | ||||
\(677\) | 9.82608 | + | 31.8554i | 0.377647 | + | 1.22430i | 0.922575 | + | 0.385818i | \(0.126081\pi\) |
−0.544928 | + | 0.838483i | \(0.683443\pi\) | |||||||
\(678\) | −4.41985 | − | 16.5316i | −0.169743 | − | 0.634894i | ||||
\(679\) | −32.4279 | + | 22.6398i | −1.24447 | + | 0.868836i | ||||
\(680\) | 21.7629 | + | 7.65565i | 0.834567 | + | 0.293581i | ||||
\(681\) | −5.99610 | + | 15.2778i | −0.229771 | + | 0.585447i | ||||
\(682\) | −8.72139 | − | 4.61555i | −0.333959 | − | 0.176739i | ||||
\(683\) | 2.21226 | + | 14.6774i | 0.0846496 | + | 0.561614i | 0.990446 | + | 0.137901i | \(0.0440354\pi\) |
−0.905796 | + | 0.423713i | \(0.860726\pi\) | |||||||
\(684\) | 2.08362 | + | 0.158460i | 0.0796691 | + | 0.00605887i | ||||
\(685\) | − | 61.9997i | − | 2.36889i | ||||||
\(686\) | 21.7093 | − | 14.6528i | 0.828866 | − | 0.559447i | ||||
\(687\) | − | 13.1694i | − | 0.502444i | ||||||
\(688\) | −30.2436 | + | 24.0093i | −1.15302 | + | 0.915347i | ||||
\(689\) | 2.81274 | + | 18.6613i | 0.107157 | + | 0.710940i | ||||
\(690\) | −1.34829 | + | 2.54768i | −0.0513285 | + | 0.0969885i | ||||
\(691\) | 3.92447 | − | 9.99939i | 0.149294 | − | 0.380395i | −0.836589 | − | 0.547831i | \(-0.815454\pi\) |
0.985883 | + | 0.167436i | \(0.0535489\pi\) | |||||||
\(692\) | −0.684968 | − | 9.27777i | −0.0260386 | − | 0.352688i | ||||
\(693\) | −10.7801 | + | 7.52621i | −0.409502 | + | 0.285897i | ||||
\(694\) | −12.2678 | + | 3.27989i | −0.465680 | + | 0.124503i | ||||
\(695\) | 5.27753 | + | 17.1093i | 0.200188 | + | 0.648994i | ||||
\(696\) | 9.18334 | − | 7.87646i | 0.348094 | − | 0.298556i | ||||
\(697\) | 15.2665 | + | 4.70908i | 0.578259 | + | 0.178369i | ||||
\(698\) | −48.4996 | − | 17.0008i | −1.83574 | − | 0.643491i | ||||
\(699\) | −1.53298 | − | 6.71643i | −0.0579827 | − | 0.254039i | ||||
\(700\) | 7.28018 | + | 12.3238i | 0.275165 | + | 0.465795i | ||||
\(701\) | 4.12818 | − | 18.0868i | 0.155919 | − | 0.683127i | −0.835177 | − | 0.549981i | \(-0.814635\pi\) |
0.991096 | − | 0.133146i | \(-0.0425080\pi\) | |||||||
\(702\) | 1.25699 | − | 1.99804i | 0.0474420 | − | 0.0754110i | ||||
\(703\) | 1.51430 | − | 1.03243i | 0.0571130 | − | 0.0389390i | ||||
\(704\) | 39.3294 | − | 5.79473i | 1.48228 | − | 0.218397i | ||||
\(705\) | 5.09902 | − | 2.94392i | 0.192040 | − | 0.110875i | ||||
\(706\) | −19.6879 | + | 16.9239i | −0.740963 | + | 0.636939i | ||||
\(707\) | 33.5948 | − | 31.8720i | 1.26346 | − | 1.19867i | ||||
\(708\) | −11.6608 | − | 4.59141i | −0.438241 | − | 0.172556i | ||||
\(709\) | −39.5643 | − | 26.9745i | −1.48587 | − | 1.01305i | −0.989436 | − | 0.144971i | \(-0.953691\pi\) |
−0.496431 | − | 0.868076i | \(-0.665356\pi\) | |||||||
\(710\) | 4.08857 | + | 9.38525i | 0.153441 | + | 0.352222i | ||||
\(711\) | 10.9306 | − | 11.7804i | 0.409930 | − | 0.441799i | ||||
\(712\) | −28.9281 | − | 7.80267i | −1.08413 | − | 0.292417i | ||||
\(713\) | 0.447335 | + | 0.928900i | 0.0167528 | + | 0.0347876i | ||||
\(714\) | −1.34608 | − | 10.9120i | −0.0503758 | − | 0.408370i | ||||
\(715\) | −9.98959 | + | 20.7436i | −0.373589 | + | 0.775767i | ||||
\(716\) | −36.7060 | − | 11.3667i | −1.37177 | − | 0.424795i | ||||
\(717\) | 4.77762 | + | 2.75836i | 0.178424 | + | 0.103013i | ||||
\(718\) | −7.68898 | − | 40.7604i | −0.286950 | − | 1.52117i | ||||
\(719\) | −33.7820 | − | 5.09181i | −1.25985 | − | 0.189892i | −0.515041 | − | 0.857165i | \(-0.672223\pi\) |
−0.744813 | + | 0.667273i | \(0.767461\pi\) | |||||||
\(720\) | 3.29614 | − | 10.6026i | 0.122840 | − | 0.395136i | ||||
\(721\) | 31.7838 | − | 7.62626i | 1.18369 | − | 0.284017i | ||||
\(722\) | −4.72219 | + | 24.8821i | −0.175742 | + | 0.926016i | ||||
\(723\) | −21.0121 | + | 1.57464i | −0.781447 | + | 0.0585614i | ||||
\(724\) | 5.04935 | − | 2.42477i | 0.187658 | − | 0.0901159i | ||||
\(725\) | 4.22717 | + | 10.7707i | 0.156993 | + | 0.400012i | ||||
\(726\) | −19.2425 | − | 2.17887i | −0.714156 | − | 0.0808655i | ||||
\(727\) | 5.69934 | + | 7.14674i | 0.211377 | + | 0.265058i | 0.876205 | − | 0.481938i | \(-0.160067\pi\) |
−0.664829 | + | 0.746996i | \(0.731495\pi\) | |||||||
\(728\) | −12.0342 | + | 3.34654i | −0.446016 | + | 0.124031i | ||||
\(729\) | 0.623490 | − | 0.781831i | 0.0230922 | − | 0.0289567i | ||||
\(730\) | 29.1373 | − | 29.1051i | 1.07842 | − | 1.07723i | ||||
\(731\) | −2.11988 | + | 28.2878i | −0.0784065 | + | 1.04626i | ||||
\(732\) | −18.6898 | + | 23.3832i | −0.690794 | + | 0.864268i | ||||
\(733\) | 21.2555 | + | 22.9080i | 0.785090 | + | 0.846125i | 0.991196 | − | 0.132404i | \(-0.0422697\pi\) |
−0.206106 | + | 0.978530i | \(0.566079\pi\) | |||||||
\(734\) | 32.6293 | + | 14.2575i | 1.20437 | + | 0.526252i | ||||
\(735\) | 10.5868 | − | 16.2931i | 0.390501 | − | 0.600979i | ||||
\(736\) | −3.66699 | − | 1.95103i | −0.135167 | − | 0.0719160i | ||||
\(737\) | 2.63951 | − | 2.44911i | 0.0972277 | − | 0.0902141i | ||||
\(738\) | 1.99417 | − | 7.42593i | 0.0734063 | − | 0.273352i | ||||
\(739\) | −11.1389 | − | 0.834744i | −0.409750 | − | 0.0307065i | −0.131739 | − | 0.991284i | \(-0.542056\pi\) |
−0.278011 | + | 0.960578i | \(0.589675\pi\) | |||||||
\(740\) | −3.54779 | − | 9.06906i | −0.130419 | − | 0.333385i | ||||
\(741\) | −1.36348 | − | 1.08734i | −0.0500889 | − | 0.0399445i | ||||
\(742\) | 27.2553 | − | 32.3547i | 1.00057 | − | 1.18778i | ||||
\(743\) | −0.966449 | + | 0.770718i | −0.0354556 | + | 0.0282749i | −0.641057 | − | 0.767493i | \(-0.721504\pi\) |
0.605602 | + | 0.795768i | \(0.292932\pi\) | |||||||
\(744\) | −2.35299 | − | 3.19928i | −0.0862650 | − | 0.117291i | ||||
\(745\) | 47.8241 | − | 18.7696i | 1.75214 | − | 0.687664i | ||||
\(746\) | 17.8264 | + | 15.3580i | 0.652672 | + | 0.562297i | ||||
\(747\) | −0.0883570 | − | 1.17904i | −0.00323281 | − | 0.0431389i | ||||
\(748\) | 16.4777 | − | 24.1111i | 0.602486 | − | 0.881591i | ||||
\(749\) | −5.37652 | + | 6.89751i | −0.196454 | + | 0.252029i | ||||
\(750\) | −7.24579 | − | 5.35382i | −0.264579 | − | 0.195494i | ||||
\(751\) | 5.80467 | − | 38.5115i | 0.211815 | − | 1.40530i | −0.589841 | − | 0.807519i | \(-0.700810\pi\) |
0.801657 | − | 0.597785i | \(-0.203952\pi\) | |||||||
\(752\) | 4.22604 | + | 7.35721i | 0.154108 | + | 0.268290i | ||||
\(753\) | −7.51830 | + | 13.0221i | −0.273982 | + | 0.474551i | ||||
\(754\) | −10.0342 | + | 1.12497i | −0.365425 | + | 0.0409692i | ||||
\(755\) | 12.7541 | + | 6.14204i | 0.464169 | + | 0.223532i | ||||
\(756\) | −5.22426 | + | 0.840869i | −0.190005 | + | 0.0305821i | ||||
\(757\) | −18.0674 | + | 8.70080i | −0.656671 | + | 0.316236i | −0.732382 | − | 0.680894i | \(-0.761592\pi\) |
0.0757112 | + | 0.997130i | \(0.475877\pi\) | |||||||
\(758\) | −1.39584 | + | 0.875990i | −0.0506992 | + | 0.0318174i | ||||
\(759\) | 2.67477 | + | 2.48183i | 0.0970882 | + | 0.0900846i | ||||
\(760\) | −7.51309 | − | 3.29276i | −0.272528 | − | 0.119441i | ||||
\(761\) | −10.2551 | + | 15.0415i | −0.371748 | + | 0.545254i | −0.965839 | − | 0.259144i | \(-0.916560\pi\) |
0.594091 | + | 0.804398i | \(0.297512\pi\) | |||||||
\(762\) | 0.854892 | + | 23.1902i | 0.0309695 | + | 0.840093i | ||||
\(763\) | 6.44035 | + | 20.0855i | 0.233156 | + | 0.727143i | ||||
\(764\) | −48.3097 | + | 14.8432i | −1.74778 | + | 0.537006i | ||||
\(765\) | −4.07826 | − | 7.06375i | −0.147450 | − | 0.255391i | ||||
\(766\) | −6.35695 | + | 4.68622i | −0.229686 | + | 0.169320i | ||||
\(767\) | 5.89182 | + | 8.64171i | 0.212741 | + | 0.312034i | ||||
\(768\) | 15.2682 | + | 4.78359i | 0.550943 | + | 0.172613i | ||||
\(769\) | −5.68570 | − | 1.29772i | −0.205032 | − | 0.0467971i | 0.118772 | − | 0.992922i | \(-0.462104\pi\) |
−0.323803 | + | 0.946124i | \(0.604962\pi\) | |||||||
\(770\) | 49.7087 | − | 13.8825i | 1.79138 | − | 0.500290i | ||||
\(771\) | −3.07650 | + | 0.702190i | −0.110797 | + | 0.0252888i | ||||
\(772\) | −10.1661 | + | 10.9322i | −0.365887 | + | 0.393460i | ||||
\(773\) | −5.11565 | + | 16.5845i | −0.183997 | + | 0.596504i | 0.815837 | + | 0.578282i | \(0.196277\pi\) |
−0.999834 | + | 0.0182217i | \(0.994200\pi\) | |||||||
\(774\) | 13.6426 | + | 0.518017i | 0.490375 | + | 0.0186197i | ||||
\(775\) | 3.62935 | − | 1.11951i | 0.130370 | − | 0.0402138i | ||||
\(776\) | −35.7620 | − | 22.5535i | −1.28378 | − | 0.809622i | ||||
\(777\) | −3.11879 | + | 3.43693i | −0.111886 | + | 0.123299i | ||||
\(778\) | 5.01093 | − | 2.64481i | 0.179650 | − | 0.0948211i | ||||
\(779\) | −5.28795 | − | 2.07537i | −0.189460 | − | 0.0743577i | ||||
\(780\) | −7.25118 | + | 5.76953i | −0.259634 | + | 0.206582i | ||||
\(781\) | 12.8142 | − | 1.93143i | 0.458528 | − | 0.0691119i | ||||
\(782\) | −2.88070 | + | 1.00621i | −0.103013 | + | 0.0359821i | ||||
\(783\) | −4.27745 | −0.152863 | ||||||||
\(784\) | 23.4451 | + | 15.3078i | 0.837324 | + | 0.546707i | ||||
\(785\) | −20.4165 | −0.728696 | ||||||||
\(786\) | 15.2530 | − | 5.32782i | 0.544058 | − | 0.190037i | ||||
\(787\) | −32.9074 | + | 4.96000i | −1.17302 | + | 0.176805i | −0.706506 | − | 0.707707i | \(-0.749730\pi\) |
−0.466518 | + | 0.884512i | \(0.654492\pi\) | |||||||
\(788\) | −14.2393 | + | 11.3297i | −0.507253 | + | 0.403605i | ||||
\(789\) | 23.5303 | + | 9.23497i | 0.837702 | + | 0.328774i | ||||
\(790\) | −55.7907 | + | 29.4468i | −1.98494 | + | 1.04767i | ||||
\(791\) | 29.6696 | − | 12.0259i | 1.05493 | − | 0.427591i | ||||
\(792\) | −11.8884 | − | 7.49751i | −0.422437 | − | 0.266412i | ||||
\(793\) | 23.8729 | − | 7.36381i | 0.847751 | − | 0.261496i | ||||
\(794\) | −19.2882 | − | 0.732379i | −0.684511 | − | 0.0259912i | ||||
\(795\) | 9.25062 | − | 29.9898i | 0.328086 | − | 1.06363i | ||||
\(796\) | −22.3550 | + | 24.0396i | −0.792351 | + | 0.852062i | ||||
\(797\) | −21.5559 | + | 4.92000i | −0.763550 | + | 0.174275i | −0.586525 | − | 0.809931i | \(-0.699505\pi\) |
−0.177025 | + | 0.984206i | \(0.556647\pi\) | |||||||
\(798\) | 0.187336 | + | 3.90485i | 0.00663161 | + | 0.138230i | ||||
\(799\) | 6.07661 | + | 1.38695i | 0.214975 | + | 0.0490666i | ||||
\(800\) | −9.12047 | + | 12.2866i | −0.322457 | + | 0.434399i | ||||
\(801\) | 5.96734 | + | 8.75247i | 0.210845 | + | 0.309253i | ||||
\(802\) | −1.07829 | + | 0.794891i | −0.0380756 | + | 0.0280686i | ||||
\(803\) | −26.0666 | − | 45.1487i | −0.919870 | − | 1.59326i | ||||
\(804\) | 1.38529 | − | 0.425629i | 0.0488553 | − | 0.0150108i | ||||
\(805\) | −5.04135 | − | 1.91434i | −0.177684 | − | 0.0674716i | ||||
\(806\) | 0.122102 | + | 3.31219i | 0.00430084 | + | 0.116667i | ||||
\(807\) | −0.210854 | + | 0.309266i | −0.00742242 | + | 0.0108867i | ||||
\(808\) | 45.3419 | + | 19.8720i | 1.59512 | + | 0.699093i | ||||
\(809\) | 37.7618 | + | 35.0379i | 1.32764 | + | 1.23187i | 0.952369 | + | 0.304948i | \(0.0986392\pi\) |
0.375266 | + | 0.926917i | \(0.377551\pi\) | |||||||
\(810\) | −3.32502 | + | 2.08669i | −0.116829 | + | 0.0733187i | ||||
\(811\) | −32.9363 | + | 15.8613i | −1.15655 | + | 0.556964i | −0.910995 | − | 0.412418i | \(-0.864684\pi\) |
−0.245554 | + | 0.969383i | \(0.578970\pi\) | |||||||
\(812\) | 16.7449 | + | 15.2287i | 0.587630 | + | 0.534421i | ||||
\(813\) | −9.23573 | − | 4.44769i | −0.323911 | − | 0.155987i | ||||
\(814\) | −12.2507 | + | 1.37347i | −0.429387 | + | 0.0481401i | ||||
\(815\) | 22.6746 | − | 39.2735i | 0.794256 | − | 1.37569i | ||||
\(816\) | 10.1921 | − | 5.85440i | 0.356793 | − | 0.204945i | ||||
\(817\) | 1.50330 | − | 9.97375i | 0.0525938 | − | 0.348937i | ||||
\(818\) | 18.3632 | + | 13.5684i | 0.642056 | + | 0.474407i | ||||
\(819\) | 3.99984 | + | 1.87186i | 0.139766 | + | 0.0654081i | ||||
\(820\) | −17.0306 | + | 24.9202i | −0.594735 | + | 0.870250i | ||||
\(821\) | −1.91967 | − | 25.6163i | −0.0669971 | − | 0.894014i | −0.924902 | − | 0.380205i | \(-0.875853\pi\) |
0.857905 | − | 0.513808i | \(-0.171766\pi\) | |||||||
\(822\) | −23.9312 | − | 20.6175i | −0.834697 | − | 0.719118i | ||||
\(823\) | −29.6812 | + | 11.6490i | −1.03462 | + | 0.406059i | −0.821043 | − | 0.570867i | \(-0.806607\pi\) |
−0.213579 | + | 0.976926i | \(0.568512\pi\) | |||||||
\(824\) | 20.7031 | + | 28.1491i | 0.721225 | + | 0.980622i | ||||
\(825\) | 10.5092 | − | 8.38084i | 0.365885 | − | 0.291783i | ||||
\(826\) | 5.82917 | − | 22.7094i | 0.202823 | − | 0.790161i | ||||
\(827\) | 40.4141 | + | 32.2292i | 1.40534 | + | 1.12072i | 0.976049 | + | 0.217552i | \(0.0698072\pi\) |
0.429289 | + | 0.903167i | \(0.358764\pi\) | |||||||
\(828\) | 0.535015 | + | 1.36764i | 0.0185930 | + | 0.0475286i | ||||
\(829\) | −7.14721 | − | 0.535610i | −0.248233 | − | 0.0186025i | −0.0499675 | − | 0.998751i | \(-0.515912\pi\) |
−0.198265 | + | 0.980148i | \(0.563531\pi\) | |||||||
\(830\) | −1.20375 | + | 4.48256i | −0.0417828 | + | 0.155592i | ||||
\(831\) | −4.26273 | + | 3.95524i | −0.147872 | + | 0.137206i | ||||
\(832\) | −8.29098 | − | 10.4675i | −0.287438 | − | 0.362896i | ||||
\(833\) | 19.9470 | − | 5.02072i | 0.691123 | − | 0.173958i | ||||
\(834\) | 8.35902 | + | 3.65250i | 0.289449 | + | 0.126476i | ||||
\(835\) | 37.2516 | + | 40.1477i | 1.28915 | + | 1.38937i | ||||
\(836\) | −6.48323 | + | 8.11131i | −0.224227 | + | 0.280536i | ||||
\(837\) | −0.104928 | + | 1.40017i | −0.00362686 | + | 0.0483971i | ||||
\(838\) | −14.4235 | + | 14.4076i | −0.498253 | + | 0.497703i | ||||
\(839\) | −4.65237 | + | 5.83389i | −0.160618 | + | 0.201408i | −0.855628 | − | 0.517592i | \(-0.826829\pi\) |
0.695010 | + | 0.719000i | \(0.255400\pi\) | |||||||
\(840\) | 20.4455 | + | 3.66906i | 0.705436 | + | 0.126595i | ||||
\(841\) | −6.67349 | − | 8.36830i | −0.230121 | − | 0.288562i | ||||
\(842\) | −5.56016 | − | 0.629590i | −0.191616 | − | 0.0216971i | ||||
\(843\) | 6.66764 | + | 16.9889i | 0.229646 | + | 0.585127i | ||||
\(844\) | 15.4493 | − | 7.41898i | 0.531787 | − | 0.255372i | ||||
\(845\) | −28.2724 | + | 2.11872i | −0.972600 | + | 0.0728863i | ||||
\(846\) | 0.559316 | − | 2.94714i | 0.0192297 | − | 0.101325i | ||||
\(847\) | −0.401801 | − | 36.2273i | −0.0138060 | − | 1.24478i | ||||
\(848\) | 43.1867 | + | 13.4259i | 1.48304 | + | 0.461047i | ||||
\(849\) | −8.18227 | − | 1.23328i | −0.280815 | − | 0.0423260i | ||||
\(850\) | 2.08371 | + | 11.0461i | 0.0714707 | + | 0.378877i | ||||
\(851\) | 1.11547 | + | 0.644019i | 0.0382380 | + | 0.0220767i | ||||
\(852\) | 4.98223 | + | 1.54284i | 0.170688 | + | 0.0528569i | ||||
\(853\) | 8.81980 | − | 18.3145i | 0.301984 | − | 0.627077i | −0.693661 | − | 0.720302i | \(-0.744003\pi\) |
0.995645 | + | 0.0932252i | \(0.0297176\pi\) | |||||||
\(854\) | −47.7301 | − | 29.2938i | −1.63329 | − | 1.00241i | ||||
\(855\) | 1.25835 | + | 2.61298i | 0.0430345 | + | 0.0893620i | ||||
\(856\) | −9.02667 | − | 2.43473i | −0.308525 | − | 0.0832172i | ||||
\(857\) | 26.3406 | − | 28.3884i | 0.899778 | − | 0.969730i | −0.0999031 | − | 0.994997i | \(-0.531853\pi\) |
0.999681 | + | 0.0252676i | \(0.00804377\pi\) | |||||||
\(858\) | 4.68485 | + | 10.7540i | 0.159938 | + | 0.367135i | ||||
\(859\) | 21.0441 | + | 14.3476i | 0.718014 | + | 0.489534i | 0.866372 | − | 0.499400i | \(-0.166446\pi\) |
−0.148357 | + | 0.988934i | \(0.547399\pi\) | |||||||
\(860\) | −49.8672 | − | 19.6350i | −1.70046 | − | 0.669549i | ||||
\(861\) | 14.2471 | + | 1.98607i | 0.485539 | + | 0.0676850i | ||||
\(862\) | −15.8569 | + | 13.6308i | −0.540089 | + | 0.464266i | ||||
\(863\) | −37.2659 | + | 21.5155i | −1.26855 | + | 0.732396i | −0.974713 | − | 0.223461i | \(-0.928265\pi\) |
−0.293834 | + | 0.955857i | \(0.594931\pi\) | |||||||
\(864\) | −2.99639 | − | 4.79809i | −0.101939 | − | 0.163234i | ||||
\(865\) | 10.6681 | − | 7.27337i | 0.362725 | − | 0.247302i | ||||
\(866\) | 23.7748 | − | 37.7910i | 0.807899 | − | 1.28419i | ||||
\(867\) | −1.86150 | + | 8.15576i | −0.0632198 | + | 0.276984i | ||||
\(868\) | 5.39569 | − | 5.10768i | 0.183142 | − | 0.173366i | ||||
\(869\) | 17.7700 | + | 77.8553i | 0.602805 | + | 2.64106i | ||||
\(870\) | 15.8460 | + | 5.55459i | 0.537230 | + | 0.188318i | ||||
\(871\) | −1.15574 | − | 0.356498i | −0.0391606 | − | 0.0120795i | ||||
\(872\) | −17.1159 | + | 14.6802i | −0.579618 | + | 0.497133i | ||||
\(873\) | 4.40604 | + | 14.2840i | 0.149122 | + | 0.483442i | ||||
\(874\) | 1.04815 | − | 0.280231i | 0.0354543 | − | 0.00947896i | ||||
\(875\) | 8.26489 | − | 14.6891i | 0.279404 | − | 0.496581i | ||||
\(876\) | −1.54490 | − | 20.9254i | −0.0521972 | − | 0.707002i | ||||
\(877\) | −3.21251 | + | 8.18534i | −0.108479 | + | 0.276399i | −0.974797 | − | 0.223093i | \(-0.928385\pi\) |
0.866319 | + | 0.499492i | \(0.166480\pi\) | |||||||
\(878\) | 15.9298 | − | 30.1005i | 0.537606 | − | 1.01584i | ||||
\(879\) | −2.55129 | − | 16.9267i | −0.0860530 | − | 0.570924i | ||||
\(880\) | 34.3053 | + | 43.2129i | 1.15643 | + | 1.45671i | ||||
\(881\) | − | 1.64385i | − | 0.0553828i | −0.999617 | − | 0.0276914i | \(-0.991184\pi\) | ||
0.999617 | − | 0.0276914i | \(-0.00881557\pi\) | |||||||
\(882\) | −2.76838 | − | 9.50453i | −0.0932163 | − | 0.320034i | ||||
\(883\) | 46.3639i | 1.56027i | 0.625611 | + | 0.780135i | \(0.284850\pi\) | ||||
−0.625611 | + | 0.780135i | \(0.715150\pi\) | |||||||
\(884\) | −9.78123 | − | 0.743867i | −0.328978 | − | 0.0250190i | ||||
\(885\) | −2.59235 | − | 17.1991i | −0.0871408 | − | 0.578141i | ||||
\(886\) | 16.3641 | + | 8.66024i | 0.549762 | + | 0.290946i | ||||
\(887\) | 13.8619 | − | 35.3197i | 0.465439 | − | 1.18592i | −0.484864 | − | 0.874590i | \(-0.661131\pi\) |
0.950302 | − | 0.311328i | \(-0.100774\pi\) | |||||||
\(888\) | −4.68035 | − | 1.64643i | −0.157062 | − | 0.0552507i | ||||
\(889\) | −42.8551 | + | 6.94629i | −1.43731 | + | 0.232971i | ||||
\(890\) | −10.7406 | − | 40.1730i | −0.360024 | − | 1.34660i | ||||
\(891\) | 1.46471 | + | 4.74848i | 0.0490697 | + | 0.159080i | ||||
\(892\) | 19.2052 | − | 39.7675i | 0.643036 | − | 1.33151i | ||||
\(893\) | −2.11775 | − | 0.653238i | −0.0708677 | − | 0.0218598i | ||||
\(894\) | 8.65865 | − | 24.7012i | 0.289589 | − | 0.826133i | ||||
\(895\) | −11.8672 | − | 51.9937i | −0.396678 | − | 1.73796i | ||||
\(896\) | −5.35231 | + | 29.4509i | −0.178808 | + | 0.983884i | ||||
\(897\) | 0.272728 | − | 1.19490i | 0.00910612 | − | 0.0398965i | ||||
\(898\) | 48.2795 | + | 30.3733i | 1.61111 | + | 1.01357i | ||||
\(899\) | 4.96236 | − | 3.38328i | 0.165504 | − | 0.112839i | ||||
\(900\) | 5.27569 | − | 1.19801i | 0.175856 | − | 0.0399337i | ||||
\(901\) | 28.7722 | − | 16.6116i | 0.958540 | − | 0.553413i | ||||
\(902\) | 24.9071 | + | 28.9749i | 0.829314 | + | 0.964758i | ||||
\(903\) | 2.19107 | + | 25.4473i | 0.0729143 | + | 0.846833i | ||||
\(904\) | 24.1603 | + | 24.2405i | 0.803559 | + | 0.806226i | ||||
\(905\) | 6.42328 | + | 4.37932i | 0.213517 | + | 0.145573i | ||||
\(906\) | 6.61203 | − | 2.88045i | 0.219670 | − | 0.0956966i | ||||
\(907\) | −7.75274 | + | 8.35547i | −0.257426 | + | 0.277439i | −0.848520 | − | 0.529164i | \(-0.822506\pi\) |
0.591094 | + | 0.806603i | \(0.298696\pi\) | |||||||
\(908\) | −4.85641 | − | 32.4635i | −0.161166 | − | 1.07734i | ||||
\(909\) | −7.59418 | − | 15.7695i | −0.251883 | − | 0.523040i | ||||
\(910\) | −12.3869 | − | 12.1285i | −0.410620 | − | 0.402056i | ||||
\(911\) | 16.3024 | − | 33.8522i | 0.540121 | − | 1.12157i | −0.435108 | − | 0.900378i | \(-0.643290\pi\) |
0.975230 | − | 0.221195i | \(-0.0709957\pi\) | |||||||
\(912\) | −3.76939 | + | 1.80499i | −0.124817 | + | 0.0597693i | ||||
\(913\) | 5.08823 | + | 2.93769i | 0.168396 | + | 0.0972234i | ||||
\(914\) | 7.36964 | − | 1.39020i | 0.243766 | − | 0.0459836i | ||||
\(915\) | −41.0821 | − | 6.19212i | −1.35813 | − | 0.204705i | ||||
\(916\) | 13.1442 | + | 22.8246i | 0.434297 | + | 0.754146i | ||||
\(917\) | 13.4160 | + | 27.0860i | 0.443036 | + | 0.894460i | ||||
\(918\) | −4.08273 | − | 0.774829i | −0.134750 | − | 0.0255732i | ||||
\(919\) | −9.02508 | + | 0.676336i | −0.297710 | + | 0.0223103i | −0.222748 | − | 0.974876i | \(-0.571503\pi\) |
−0.0749621 | + | 0.997186i | \(0.523884\pi\) | |||||||
\(920\) | −0.206012 | − | 5.76123i | −0.00679201 | − | 0.189942i | ||||
\(921\) | 11.8749 | + | 30.2567i | 0.391290 | + | 0.996991i | ||||
\(922\) | −6.17371 | + | 54.5225i | −0.203320 | + | 1.79560i | ||||
\(923\) | −2.71397 | − | 3.40321i | −0.0893313 | − | 0.112018i | ||||
\(924\) | 11.1717 | − | 23.8035i | 0.367523 | − | 0.783079i | ||||
\(925\) | 2.95845 | − | 3.70978i | 0.0972732 | − | 0.121977i | ||||
\(926\) | 0.932413 | + | 0.933444i | 0.0306410 | + | 0.0306749i | ||||
\(927\) | 0.923223 | − | 12.3196i | 0.0303226 | − | 0.404627i | ||||
\(928\) | −8.05476 | + | 22.8169i | −0.264411 | + | 0.749001i | ||||
\(929\) | 14.2531 | + | 15.3612i | 0.467629 | + | 0.503985i | 0.922193 | − | 0.386730i | \(-0.126395\pi\) |
−0.454564 | + | 0.890714i | \(0.650205\pi\) | |||||||
\(930\) | 2.20694 | − | 5.05075i | 0.0723685 | − | 0.165621i | ||||
\(931\) | −7.20607 | + | 1.25019i | −0.236169 | + | 0.0409732i | ||||
\(932\) | 9.36047 | + | 10.1106i | 0.306613 | + | 0.331183i | ||||
\(933\) | 2.06901 | − | 1.91976i | 0.0677363 | − | 0.0628501i | ||||
\(934\) | −13.1491 | − | 3.53107i | −0.430251 | − | 0.115540i | ||||
\(935\) | 40.4185 | + | 3.02895i | 1.32183 | + | 0.0990571i | ||||
\(936\) | −0.184344 | + | 4.71749i | −0.00602546 | + | 0.154196i | ||||
\(937\) | −33.6890 | − | 26.8661i | −1.10057 | − | 0.877676i | −0.107385 | − | 0.994218i | \(-0.534248\pi\) |
−0.993186 | + | 0.116542i | \(0.962819\pi\) | |||||||
\(938\) | 1.11032 | + | 2.47342i | 0.0362531 | + | 0.0807601i | ||||
\(939\) | 14.3714 | − | 11.4608i | 0.468993 | − | 0.374009i | ||||
\(940\) | −5.89910 | + | 10.1915i | −0.192408 | + | 0.332411i | ||||
\(941\) | −48.0455 | + | 18.8565i | −1.56624 | + | 0.614703i | −0.980626 | − | 0.195889i | \(-0.937241\pi\) |
−0.585611 | + | 0.810592i | \(0.699146\pi\) | |||||||
\(942\) | −6.78934 | + | 7.88055i | −0.221209 | + | 0.256762i | ||||
\(943\) | −0.298341 | − | 3.98109i | −0.00971533 | − | 0.129642i | ||||
\(944\) | 24.7926 | − | 3.68089i | 0.806932 | − | 0.119803i | ||||
\(945\) | −4.64233 | − | 5.69067i | −0.151015 | − | 0.185118i | ||||
\(946\) | −40.3164 | + | 54.5637i | −1.31080 | + | 1.77402i | ||||
\(947\) | −1.45175 | + | 9.63170i | −0.0471754 | + | 0.312988i | 0.952781 | + | 0.303658i | \(0.0982080\pi\) |
−0.999956 | + | 0.00933023i | \(0.997030\pi\) | |||||||
\(948\) | −7.18658 | + | 31.3269i | −0.233409 | + | 1.01745i | ||||
\(949\) | −8.75569 | + | 15.1653i | −0.284222 | + | 0.492286i | ||||
\(950\) | −0.445316 | − | 3.97201i | −0.0144480 | − | 0.128869i | ||||
\(951\) | −20.5202 | − | 9.88202i | −0.665414 | − | 0.320446i | ||||
\(952\) | 13.2241 | + | 17.5686i | 0.428594 | + | 0.569402i | ||||
\(953\) | 26.8272 | − | 12.9193i | 0.869017 | − | 0.418497i | 0.0544161 | − | 0.998518i | \(-0.482670\pi\) |
0.814601 | + | 0.580022i | \(0.196956\pi\) | |||||||
\(954\) | −8.49951 | − | 13.5435i | −0.275182 | − | 0.438487i | ||||
\(955\) | −51.4178 | − | 47.7088i | −1.66384 | − | 1.54382i | ||||
\(956\) | −11.0334 | − | 0.0121872i | −0.356847 | − | 0.000394162i | ||||
\(957\) | 11.9738 | − | 17.5623i | 0.387057 | − | 0.567708i | ||||
\(958\) | 5.65598 | − | 0.208504i | 0.182736 | − | 0.00673645i | ||||
\(959\) | 32.7460 | − | 49.1930i | 1.05742 | − | 1.58852i | ||||
\(960\) | 4.86960 | + | 21.6658i | 0.157166 | + | 0.699261i | ||||
\(961\) | 14.5143 | + | 25.1394i | 0.468202 | + | 0.810949i | ||||
\(962\) | 2.45702 | + | 3.33300i | 0.0792176 | + | 0.107460i | ||||
\(963\) | 1.86203 | + | 2.73110i | 0.0600032 | + | 0.0880085i | ||||
\(964\) | 34.8455 | − | 23.7009i | 1.12230 | − | 0.763356i | ||||
\(965\) | −20.1999 | − | 4.61049i | −0.650258 | − | 0.148417i | ||||
\(966\) | −2.41538 | + | 1.30931i | −0.0777134 | + | 0.0421264i | ||||
\(967\) | −4.04671 | + | 0.923635i | −0.130133 | + | 0.0297021i | −0.287092 | − | 0.957903i | \(-0.592688\pi\) |
0.156958 | + | 0.987605i | \(0.449831\pi\) | |||||||
\(968\) | 35.5249 | − | 15.4294i | 1.14181 | − | 0.495918i | ||||
\(969\) | −0.904941 | + | 2.93375i | −0.0290709 | + | 0.0942455i | ||||
\(970\) | 2.22649 | − | 58.6375i | 0.0714884 | − | 1.88274i | ||||
\(971\) | 7.14122 | − | 2.20277i | 0.229173 | − | 0.0706904i | −0.178042 | − | 0.984023i | \(-0.556976\pi\) |
0.407215 | + | 0.913332i | \(0.366500\pi\) | |||||||
\(972\) | −0.300269 | + | 1.97733i | −0.00963113 | + | 0.0634229i | ||||
\(973\) | −4.84912 | + | 16.3626i | −0.155456 | + | 0.524561i | ||||
\(974\) | 16.7045 | + | 31.6488i | 0.535247 | + | 1.01409i | ||||
\(975\) | −4.20296 | − | 1.64954i | −0.134602 | − | 0.0528275i | ||||
\(976\) | 9.05381 | − | 59.1807i | 0.289805 | − | 1.89433i | ||||
\(977\) | −38.5500 | + | 5.81048i | −1.23332 | + | 0.185894i | −0.733172 | − | 0.680044i | \(-0.761961\pi\) |
−0.500152 | + | 0.865937i | \(0.666723\pi\) | |||||||
\(978\) | −7.61891 | − | 21.8122i | −0.243626 | − | 0.697478i | ||||
\(979\) | −52.6400 | −1.68238 | ||||||||
\(980\) | −2.08673 | + | 38.8050i | −0.0666582 | + | 1.23958i | ||||
\(981\) | 7.97231 | 0.254536 | ||||||||
\(982\) | 9.19755 | + | 26.3317i | 0.293506 | + | 0.840279i | ||||
\(983\) | 24.4054 | − | 3.67852i | 0.778412 | − | 0.117327i | 0.252194 | − | 0.967677i | \(-0.418848\pi\) |
0.526218 | + | 0.850350i | \(0.323610\pi\) | |||||||
\(984\) | 3.95552 | + | 14.8606i | 0.126097 | + | 0.473740i | ||||
\(985\) | −23.5093 | − | 9.22672i | −0.749069 | − | 0.293988i | ||||
\(986\) | 8.29718 | + | 15.7200i | 0.264236 | + | 0.500628i | ||||
\(987\) | 5.60063 | + | 0.357295i | 0.178270 | + | 0.0113728i | ||||
\(988\) | 3.44839 | + | 0.523657i | 0.109708 | + | 0.0166598i | ||||
\(989\) | 6.77363 | − | 2.08939i | 0.215389 | − | 0.0664387i | ||||
\(990\) | 0.740159 | − | 19.4930i | 0.0235238 | − | 0.619529i | ||||
\(991\) | −4.67434 | + | 15.1538i | −0.148485 | + | 0.481377i | −0.999007 | − | 0.0445632i | \(-0.985810\pi\) |
0.850521 | + | 0.525941i | \(0.176287\pi\) | |||||||
\(992\) | 7.27126 | + | 3.19635i | 0.230863 | + | 0.101484i | ||||
\(993\) | −18.2310 | + | 4.16112i | −0.578545 | + | 0.132049i | ||||
\(994\) | −1.71291 | + | 9.60605i | −0.0543303 | + | 0.304686i | ||||
\(995\) | −44.4189 | − | 10.1383i | −1.40817 | − | 0.321406i | ||||
\(996\) | 1.32992 | + | 1.95527i | 0.0421402 | + | 0.0619552i | ||||
\(997\) | −10.5441 | − | 15.4654i | −0.333937 | − | 0.489795i | 0.622142 | − | 0.782904i | \(-0.286262\pi\) |
−0.956079 | + | 0.293109i | \(0.905310\pi\) | |||||||
\(998\) | −9.36895 | − | 12.7092i | −0.296569 | − | 0.402302i | ||||
\(999\) | 0.877076 | + | 1.51914i | 0.0277495 | + | 0.0480635i |
(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 | 588.2.ba.b.283.3 | yes | 336 | |
4.3 | odd | 2 | 588.2.ba.a.283.11 | yes | 336 | ||
49.40 | odd | 42 | 588.2.ba.a.187.11 | ✓ | 336 | ||
196.187 | even | 42 | inner | 588.2.ba.b.187.3 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.ba.a.187.11 | ✓ | 336 | 49.40 | odd | 42 | ||
588.2.ba.a.283.11 | yes | 336 | 4.3 | odd | 2 | ||
588.2.ba.b.187.3 | yes | 336 | 196.187 | even | 42 | inner | |
588.2.ba.b.283.3 | yes | 336 | 1.1 | even | 1 | trivial |