Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(11,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 175.11 |
Dual form | 175.2.q.a.16.13 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.956389 | + | 0.425812i | 0.676269 | + | 0.301095i | 0.715984 | − | 0.698116i | \(-0.245978\pi\) |
−0.0397147 | + | 0.999211i | \(0.512645\pi\) | |||||||
\(3\) | −1.22328 | − | 1.35859i | −0.706263 | − | 0.784385i | 0.278097 | − | 0.960553i | \(-0.410296\pi\) |
−0.984360 | + | 0.176168i | \(0.943630\pi\) | |||||||
\(4\) | −0.604896 | − | 0.671805i | −0.302448 | − | 0.335903i | ||||
\(5\) | 1.72038 | − | 1.42838i | 0.769379 | − | 0.638793i | ||||
\(6\) | −0.591430 | − | 1.82023i | −0.241450 | − | 0.743108i | ||||
\(7\) | −2.07580 | + | 1.64044i | −0.784580 | + | 0.620028i | ||||
\(8\) | −0.939473 | − | 2.89140i | −0.332154 | − | 1.02226i | ||||
\(9\) | −0.0357700 | + | 0.340329i | −0.0119233 | + | 0.113443i | ||||
\(10\) | 2.25358 | − | 0.633531i | 0.712644 | − | 0.200340i | ||||
\(11\) | −0.461533 | − | 4.39120i | −0.139158 | − | 1.32400i | −0.811760 | − | 0.583991i | \(-0.801490\pi\) |
0.672602 | − | 0.740004i | \(-0.265176\pi\) | |||||||
\(12\) | −0.172751 | + | 1.64362i | −0.0498690 | + | 0.474472i | ||||
\(13\) | 3.94356 | + | 2.86516i | 1.09375 | + | 0.794653i | 0.980028 | − | 0.198860i | \(-0.0637239\pi\) |
0.113718 | + | 0.993513i | \(0.463724\pi\) | |||||||
\(14\) | −2.68379 | + | 0.684998i | −0.717274 | + | 0.183073i | ||||
\(15\) | −4.04511 | − | 0.589985i | −1.04444 | − | 0.152333i | ||||
\(16\) | 0.143703 | − | 1.36724i | 0.0359257 | − | 0.341810i | ||||
\(17\) | 4.37594 | + | 0.930134i | 1.06132 | + | 0.225591i | 0.705315 | − | 0.708894i | \(-0.250805\pi\) |
0.356005 | + | 0.934484i | \(0.384139\pi\) | |||||||
\(18\) | −0.179126 | + | 0.310256i | −0.0422204 | + | 0.0731279i | ||||
\(19\) | −2.72958 | + | 3.03150i | −0.626208 | + | 0.695474i | −0.969871 | − | 0.243619i | \(-0.921665\pi\) |
0.343664 | + | 0.939093i | \(0.388332\pi\) | |||||||
\(20\) | −2.00025 | − | 0.291739i | −0.447269 | − | 0.0652348i | ||||
\(21\) | 4.76799 | + | 0.813450i | 1.04046 | + | 0.177509i | ||||
\(22\) | 1.42842 | − | 4.39622i | 0.304540 | − | 0.937277i | ||||
\(23\) | 3.50273 | + | 1.55952i | 0.730371 | + | 0.325182i | 0.738011 | − | 0.674789i | \(-0.235765\pi\) |
−0.00764025 | + | 0.999971i | \(0.502432\pi\) | |||||||
\(24\) | −2.77900 | + | 4.81337i | −0.567261 | + | 0.982524i | ||||
\(25\) | 0.919440 | − | 4.91474i | 0.183888 | − | 0.982947i | ||||
\(26\) | 2.55156 | + | 4.41943i | 0.500401 | + | 0.866721i | ||||
\(27\) | −3.93093 | + | 2.85599i | −0.756509 | + | 0.549636i | ||||
\(28\) | 2.35770 | + | 0.402239i | 0.445564 | + | 0.0760161i | ||||
\(29\) | −0.868014 | + | 2.67147i | −0.161186 | + | 0.496080i | −0.998735 | − | 0.0502824i | \(-0.983988\pi\) |
0.837549 | + | 0.546362i | \(0.183988\pi\) | |||||||
\(30\) | −3.61748 | − | 2.28671i | −0.660458 | − | 0.417495i | ||||
\(31\) | 5.26137 | + | 1.11834i | 0.944971 | + | 0.200860i | 0.654532 | − | 0.756034i | \(-0.272866\pi\) |
0.290438 | + | 0.956894i | \(0.406199\pi\) | |||||||
\(32\) | −2.32057 | + | 4.01935i | −0.410223 | + | 0.710528i | ||||
\(33\) | −5.40127 | + | 5.99872i | −0.940240 | + | 1.04424i | ||||
\(34\) | 3.78904 | + | 2.75290i | 0.649814 | + | 0.472118i | ||||
\(35\) | −1.22800 | + | 5.78723i | −0.207570 | + | 0.978220i | ||||
\(36\) | 0.250272 | − | 0.181833i | 0.0417120 | − | 0.0303055i | ||||
\(37\) | −0.167440 | + | 1.59309i | −0.0275270 | + | 0.261902i | 0.972099 | + | 0.234569i | \(0.0753680\pi\) |
−0.999626 | + | 0.0273326i | \(0.991299\pi\) | |||||||
\(38\) | −3.90139 | + | 1.73701i | −0.632888 | + | 0.281780i | ||||
\(39\) | −0.931497 | − | 8.86261i | −0.149159 | − | 1.41915i | ||||
\(40\) | −5.74628 | − | 3.63239i | −0.908567 | − | 0.574331i | ||||
\(41\) | −4.82807 | − | 3.50780i | −0.754017 | − | 0.547826i | 0.143052 | − | 0.989715i | \(-0.454308\pi\) |
−0.897069 | + | 0.441890i | \(0.854308\pi\) | |||||||
\(42\) | 4.21368 | + | 2.80824i | 0.650185 | + | 0.433321i | ||||
\(43\) | 2.15641 | 0.328850 | 0.164425 | − | 0.986390i | \(-0.447423\pi\) | ||||
0.164425 | + | 0.986390i | \(0.447423\pi\) | |||||||
\(44\) | −2.67085 | + | 2.96628i | −0.402646 | + | 0.447183i | ||||
\(45\) | 0.424582 | + | 0.636589i | 0.0632930 | + | 0.0948972i | ||||
\(46\) | 2.68592 | + | 2.98301i | 0.396017 | + | 0.439821i | ||||
\(47\) | 7.74716 | − | 1.64671i | 1.13004 | − | 0.240197i | 0.395303 | − | 0.918551i | \(-0.370640\pi\) |
0.734736 | + | 0.678354i | \(0.237306\pi\) | |||||||
\(48\) | −2.03331 | + | 1.47729i | −0.293484 | + | 0.213228i | ||||
\(49\) | 1.61791 | − | 6.81046i | 0.231131 | − | 0.972923i | ||||
\(50\) | 2.97210 | − | 4.30889i | 0.420318 | − | 0.609369i | ||||
\(51\) | −4.08934 | − | 7.08294i | −0.572622 | − | 0.991810i | ||||
\(52\) | −0.460612 | − | 4.38243i | −0.0638754 | − | 0.607734i | ||||
\(53\) | 0.422128 | + | 0.468820i | 0.0579837 | + | 0.0643974i | 0.771439 | − | 0.636304i | \(-0.219537\pi\) |
−0.713455 | + | 0.700701i | \(0.752871\pi\) | |||||||
\(54\) | −4.97562 | + | 1.05760i | −0.677096 | + | 0.143921i | ||||
\(55\) | −7.06633 | − | 6.89530i | −0.952823 | − | 0.929762i | ||||
\(56\) | 6.69333 | + | 4.46083i | 0.894433 | + | 0.596103i | ||||
\(57\) | 7.45763 | 0.987787 | ||||||||
\(58\) | −1.96770 | + | 2.18536i | −0.258372 | + | 0.286952i | ||||
\(59\) | 4.39203 | − | 1.95546i | 0.571794 | − | 0.254579i | −0.100409 | − | 0.994946i | \(-0.532015\pi\) |
0.672203 | + | 0.740367i | \(0.265348\pi\) | |||||||
\(60\) | 2.05052 | + | 3.07441i | 0.264721 | + | 0.396904i | ||||
\(61\) | −4.90900 | − | 2.18563i | −0.628532 | − | 0.279841i | 0.0676461 | − | 0.997709i | \(-0.478451\pi\) |
−0.696179 | + | 0.717869i | \(0.745118\pi\) | |||||||
\(62\) | 4.55572 | + | 3.30992i | 0.578577 | + | 0.420361i | ||||
\(63\) | −0.484038 | − | 0.765134i | −0.0609830 | − | 0.0963978i | ||||
\(64\) | −6.15529 | + | 4.47208i | −0.769411 | + | 0.559010i | ||||
\(65\) | 10.8770 | − | 0.703735i | 1.34912 | − | 0.0872876i | ||||
\(66\) | −7.72004 | + | 3.43718i | −0.950272 | + | 0.423088i | ||||
\(67\) | −13.6508 | − | 2.90157i | −1.66771 | − | 0.354483i | −0.725168 | − | 0.688572i | \(-0.758238\pi\) |
−0.942541 | + | 0.334089i | \(0.891571\pi\) | |||||||
\(68\) | −2.02212 | − | 3.50241i | −0.245218 | − | 0.424730i | ||||
\(69\) | −2.16609 | − | 6.66653i | −0.260766 | − | 0.802556i | ||||
\(70\) | −3.63872 | + | 5.01195i | −0.434910 | + | 0.599042i | ||||
\(71\) | 1.88231 | − | 5.79316i | 0.223389 | − | 0.687522i | −0.775062 | − | 0.631886i | \(-0.782281\pi\) |
0.998451 | − | 0.0556365i | \(-0.0177188\pi\) | |||||||
\(72\) | 1.01763 | − | 0.216304i | 0.119929 | − | 0.0254917i | ||||
\(73\) | 1.23418 | + | 11.7424i | 0.144450 | + | 1.37435i | 0.791158 | + | 0.611612i | \(0.209479\pi\) |
−0.646708 | + | 0.762738i | \(0.723855\pi\) | |||||||
\(74\) | −0.838493 | + | 1.45231i | −0.0974729 | + | 0.168828i | ||||
\(75\) | −7.80187 | + | 4.76297i | −0.900882 | + | 0.549981i | ||||
\(76\) | 3.68769 | 0.423007 | ||||||||
\(77\) | 8.16155 | + | 8.35814i | 0.930095 | + | 0.952498i | ||||
\(78\) | 2.88293 | − | 8.87274i | 0.326427 | − | 1.00464i | ||||
\(79\) | 10.9170 | − | 2.32049i | 1.22826 | − | 0.261075i | 0.452307 | − | 0.891862i | \(-0.350601\pi\) |
0.775956 | + | 0.630787i | \(0.217268\pi\) | |||||||
\(80\) | −1.70572 | − | 2.55744i | −0.190705 | − | 0.285930i | ||||
\(81\) | 9.69296 | + | 2.06030i | 1.07700 | + | 0.228922i | ||||
\(82\) | −3.12385 | − | 5.41067i | −0.344972 | − | 0.597508i | ||||
\(83\) | 4.66964 | + | 14.3717i | 0.512559 | + | 1.57749i | 0.787680 | + | 0.616085i | \(0.211282\pi\) |
−0.275121 | + | 0.961410i | \(0.588718\pi\) | |||||||
\(84\) | −2.33766 | − | 3.69521i | −0.255059 | − | 0.403181i | ||||
\(85\) | 8.85688 | − | 4.65033i | 0.960663 | − | 0.504399i | ||||
\(86\) | 2.06237 | + | 0.918226i | 0.222391 | + | 0.0990148i | ||||
\(87\) | 4.69128 | − | 2.08869i | 0.502958 | − | 0.223931i | ||||
\(88\) | −12.2631 | + | 5.45989i | −1.30725 | + | 0.582026i | ||||
\(89\) | 0.776679 | + | 0.345800i | 0.0823278 | + | 0.0366547i | 0.447487 | − | 0.894290i | \(-0.352319\pi\) |
−0.365160 | + | 0.930945i | \(0.618986\pi\) | |||||||
\(90\) | 0.134998 | + | 0.789620i | 0.0142301 | + | 0.0832332i | ||||
\(91\) | −12.8862 | + | 0.521658i | −1.35084 | + | 0.0546846i | ||||
\(92\) | −1.07110 | − | 3.29650i | −0.111670 | − | 0.343684i | ||||
\(93\) | −4.91679 | − | 8.51612i | −0.509847 | − | 0.883081i | ||||
\(94\) | 8.11049 | + | 1.72394i | 0.836533 | + | 0.177811i | ||||
\(95\) | −0.365771 | + | 9.11422i | −0.0375273 | + | 0.935100i | ||||
\(96\) | 8.29939 | − | 1.76409i | 0.847053 | − | 0.180047i | ||||
\(97\) | 3.08788 | − | 9.50353i | 0.313527 | − | 0.964937i | −0.662830 | − | 0.748770i | \(-0.730645\pi\) |
0.976357 | − | 0.216166i | \(-0.0693554\pi\) | |||||||
\(98\) | 4.44733 | − | 5.82452i | 0.449248 | − | 0.588366i | ||||
\(99\) | 1.51096 | 0.151857 | ||||||||
\(100\) | −3.85791 | + | 2.35522i | −0.385791 | + | 0.235522i | ||||
\(101\) | −2.70248 | + | 4.68083i | −0.268907 | + | 0.465760i | −0.968580 | − | 0.248703i | \(-0.919996\pi\) |
0.699673 | + | 0.714463i | \(0.253329\pi\) | |||||||
\(102\) | −0.894998 | − | 8.51534i | −0.0886180 | − | 0.843144i | ||||
\(103\) | −7.42257 | + | 1.57772i | −0.731368 | + | 0.155457i | −0.558520 | − | 0.829491i | \(-0.688630\pi\) |
−0.172848 | + | 0.984948i | \(0.555297\pi\) | |||||||
\(104\) | 4.57946 | − | 14.0941i | 0.449053 | − | 1.38204i | ||||
\(105\) | 9.36469 | − | 5.41107i | 0.913900 | − | 0.528067i | ||||
\(106\) | 0.204089 | + | 0.628122i | 0.0198229 | + | 0.0610086i | ||||
\(107\) | −4.98969 | − | 8.64240i | −0.482372 | − | 0.835492i | 0.517424 | − | 0.855729i | \(-0.326891\pi\) |
−0.999795 | + | 0.0202374i | \(0.993558\pi\) | |||||||
\(108\) | 4.29648 | + | 0.913245i | 0.413429 | + | 0.0878770i | ||||
\(109\) | −4.12633 | + | 1.83716i | −0.395231 | + | 0.175968i | −0.594722 | − | 0.803931i | \(-0.702738\pi\) |
0.199491 | + | 0.979900i | \(0.436071\pi\) | |||||||
\(110\) | −3.82206 | − | 9.60352i | −0.364419 | − | 0.915659i | ||||
\(111\) | 2.36919 | − | 1.72131i | 0.224873 | − | 0.163380i | ||||
\(112\) | 1.94458 | + | 3.07386i | 0.183745 | + | 0.290452i | ||||
\(113\) | −2.38831 | − | 1.73521i | −0.224673 | − | 0.163234i | 0.469755 | − | 0.882797i | \(-0.344342\pi\) |
−0.694428 | + | 0.719563i | \(0.744342\pi\) | |||||||
\(114\) | 7.13240 | + | 3.17555i | 0.668010 | + | 0.297417i | ||||
\(115\) | 8.25364 | − | 2.32028i | 0.769656 | − | 0.216367i | ||||
\(116\) | 2.31977 | − | 1.03283i | 0.215385 | − | 0.0958956i | ||||
\(117\) | −1.11616 | + | 1.23962i | −0.103189 | + | 0.114603i | ||||
\(118\) | 5.03315 | 0.463339 | ||||||||
\(119\) | −10.6094 | + | 5.24768i | −0.972563 | + | 0.481054i | ||||
\(120\) | 2.09439 | + | 12.2503i | 0.191191 | + | 1.11830i | ||||
\(121\) | −8.30997 | + | 1.76634i | −0.755452 | + | 0.160576i | ||||
\(122\) | −3.76425 | − | 4.18062i | −0.340799 | − | 0.378495i | ||||
\(123\) | 1.14042 | + | 10.8504i | 0.102829 | + | 0.978349i | ||||
\(124\) | −2.43128 | − | 4.21110i | −0.218335 | − | 0.378168i | ||||
\(125\) | −5.43834 | − | 9.76854i | −0.486420 | − | 0.873725i | ||||
\(126\) | −0.137125 | − | 0.937875i | −0.0122161 | − | 0.0835526i | ||||
\(127\) | −15.8831 | + | 11.5398i | −1.40940 | + | 1.02399i | −0.415992 | + | 0.909368i | \(0.636566\pi\) |
−0.993409 | + | 0.114622i | \(0.963434\pi\) | |||||||
\(128\) | 1.28834 | − | 0.273845i | 0.113874 | − | 0.0242047i | ||||
\(129\) | −2.63790 | − | 2.92969i | −0.232254 | − | 0.257945i | ||||
\(130\) | 10.7023 | + | 3.95851i | 0.938653 | + | 0.347184i | ||||
\(131\) | −8.65961 | + | 9.61747i | −0.756593 | + | 0.840282i | −0.991278 | − | 0.131790i | \(-0.957928\pi\) |
0.234684 | + | 0.972072i | \(0.424594\pi\) | |||||||
\(132\) | 7.29718 | 0.635138 | ||||||||
\(133\) | 0.693065 | − | 10.7705i | 0.0600964 | − | 0.933921i | ||||
\(134\) | −11.8200 | − | 8.58770i | −1.02109 | − | 0.741864i | ||||
\(135\) | −2.68326 | + | 10.5283i | −0.230939 | + | 0.906130i | ||||
\(136\) | −1.42168 | − | 13.5264i | −0.121908 | − | 1.15988i | ||||
\(137\) | −5.84982 | + | 2.60451i | −0.499784 | + | 0.222518i | −0.641116 | − | 0.767444i | \(-0.721528\pi\) |
0.141332 | + | 0.989962i | \(0.454862\pi\) | |||||||
\(138\) | 0.767066 | − | 7.29814i | 0.0652970 | − | 0.621259i | ||||
\(139\) | −7.21839 | + | 5.24447i | −0.612256 | + | 0.444830i | −0.850208 | − | 0.526447i | \(-0.823524\pi\) |
0.237952 | + | 0.971277i | \(0.423524\pi\) | |||||||
\(140\) | 4.63070 | − | 2.67570i | 0.391366 | − | 0.226138i | ||||
\(141\) | −11.7142 | − | 8.51085i | −0.986512 | − | 0.716743i | ||||
\(142\) | 4.26702 | − | 4.73901i | 0.358081 | − | 0.397689i | ||||
\(143\) | 10.7614 | − | 18.6393i | 0.899914 | − | 1.55870i | ||||
\(144\) | 0.460171 | + | 0.0978124i | 0.0383476 | + | 0.00815103i | ||||
\(145\) | 2.32257 | + | 5.83582i | 0.192879 | + | 0.484638i | ||||
\(146\) | −3.81972 | + | 11.7559i | −0.316122 | + | 0.972923i | ||||
\(147\) | −11.2318 | + | 6.13304i | −0.926385 | + | 0.505844i | ||||
\(148\) | 1.17153 | − | 0.851165i | 0.0962990 | − | 0.0699653i | ||||
\(149\) | 11.1977 | + | 19.3949i | 0.917348 | + | 1.58889i | 0.803427 | + | 0.595403i | \(0.203007\pi\) |
0.113920 | + | 0.993490i | \(0.463659\pi\) | |||||||
\(150\) | −9.48976 | + | 1.23313i | −0.774835 | + | 0.100684i | ||||
\(151\) | 10.2012 | − | 17.6690i | 0.830164 | − | 1.43789i | −0.0677446 | − | 0.997703i | \(-0.521580\pi\) |
0.897908 | − | 0.440183i | \(-0.145086\pi\) | |||||||
\(152\) | 11.3296 | + | 5.04428i | 0.918955 | + | 0.409145i | ||||
\(153\) | −0.473079 | + | 1.45599i | −0.0382461 | + | 0.117709i | ||||
\(154\) | 4.24662 | + | 11.4689i | 0.342202 | + | 0.924192i | ||||
\(155\) | 10.6490 | − | 5.59129i | 0.855348 | − | 0.449103i | ||||
\(156\) | −5.39049 | + | 5.98674i | −0.431584 | + | 0.479323i | ||||
\(157\) | −6.04846 | + | 10.4762i | −0.482720 | + | 0.836095i | −0.999803 | − | 0.0198399i | \(-0.993684\pi\) |
0.517083 | + | 0.855935i | \(0.327018\pi\) | |||||||
\(158\) | 11.4290 | + | 2.42932i | 0.909245 | + | 0.193266i | ||||
\(159\) | 0.120555 | − | 1.14700i | 0.00956060 | − | 0.0909631i | ||||
\(160\) | 1.74890 | + | 10.2295i | 0.138263 | + | 0.808713i | ||||
\(161\) | −9.82928 | + | 2.50877i | −0.774656 | + | 0.197719i | ||||
\(162\) | 8.39294 | + | 6.09783i | 0.659412 | + | 0.479091i | ||||
\(163\) | 0.362430 | − | 3.44829i | 0.0283877 | − | 0.270091i | −0.971116 | − | 0.238606i | \(-0.923310\pi\) |
0.999504 | − | 0.0314853i | \(-0.0100237\pi\) | |||||||
\(164\) | 0.563924 | + | 5.36537i | 0.0440350 | + | 0.418965i | ||||
\(165\) | −0.723786 | + | 18.0352i | −0.0563466 | + | 1.40404i | ||||
\(166\) | −1.65364 | + | 15.7333i | −0.128347 | + | 1.22114i | ||||
\(167\) | 2.10012 | + | 6.46351i | 0.162512 | + | 0.500161i | 0.998844 | − | 0.0480618i | \(-0.0153044\pi\) |
−0.836332 | + | 0.548223i | \(0.815304\pi\) | |||||||
\(168\) | −2.12739 | − | 14.5504i | −0.164131 | − | 1.12259i | ||||
\(169\) | 3.32527 | + | 10.2341i | 0.255790 | + | 0.787241i | ||||
\(170\) | 10.4508 | − | 0.676160i | 0.801539 | − | 0.0518591i | ||||
\(171\) | −0.934070 | − | 1.03739i | −0.0714301 | − | 0.0793312i | ||||
\(172\) | −1.30441 | − | 1.44869i | −0.0994600 | − | 0.110461i | ||||
\(173\) | −1.31340 | − | 0.584765i | −0.0998562 | − | 0.0444589i | 0.356201 | − | 0.934410i | \(-0.384072\pi\) |
−0.456057 | + | 0.889951i | \(0.650739\pi\) | |||||||
\(174\) | 5.37608 | 0.407559 | ||||||||
\(175\) | 6.15375 | + | 11.7103i | 0.465180 | + | 0.885216i | ||||
\(176\) | −6.07014 | −0.457554 | ||||||||
\(177\) | −8.02938 | − | 3.57491i | −0.603525 | − | 0.268707i | ||||
\(178\) | 0.595562 | + | 0.661438i | 0.0446392 | + | 0.0495769i | ||||
\(179\) | 1.64028 | + | 1.82172i | 0.122600 | + | 0.136162i | 0.801320 | − | 0.598236i | \(-0.204131\pi\) |
−0.678720 | + | 0.734398i | \(0.737465\pi\) | |||||||
\(180\) | 0.170836 | − | 0.670307i | 0.0127334 | − | 0.0499617i | ||||
\(181\) | −3.03964 | − | 9.35504i | −0.225935 | − | 0.695355i | −0.998195 | − | 0.0600494i | \(-0.980874\pi\) |
0.772261 | − | 0.635306i | \(-0.219126\pi\) | |||||||
\(182\) | −12.5463 | − | 4.98818i | −0.929996 | − | 0.369749i | ||||
\(183\) | 3.03572 | + | 9.34298i | 0.224407 | + | 0.690653i | ||||
\(184\) | 1.21847 | − | 11.5929i | 0.0898265 | − | 0.854642i | ||||
\(185\) | 1.98748 | + | 2.97989i | 0.146122 | + | 0.219086i | ||||
\(186\) | −1.07609 | − | 10.2384i | −0.0789031 | − | 0.750713i | ||||
\(187\) | 2.06476 | − | 19.6449i | 0.150990 | − | 1.43658i | ||||
\(188\) | −5.79249 | − | 4.20849i | −0.422461 | − | 0.306936i | ||||
\(189\) | 3.47476 | − | 12.3769i | 0.252752 | − | 0.900290i | ||||
\(190\) | −4.23077 | + | 8.56100i | −0.306932 | + | 0.621080i | ||||
\(191\) | −2.24682 | + | 21.3770i | −0.162574 | + | 1.54679i | 0.543961 | + | 0.839111i | \(0.316924\pi\) |
−0.706535 | + | 0.707678i | \(0.749743\pi\) | |||||||
\(192\) | 13.6054 | + | 2.89192i | 0.981886 | + | 0.208706i | ||||
\(193\) | −0.724560 | + | 1.25497i | −0.0521550 | + | 0.0903351i | −0.890924 | − | 0.454152i | \(-0.849942\pi\) |
0.838769 | + | 0.544487i | \(0.183276\pi\) | |||||||
\(194\) | 6.99993 | − | 7.77421i | 0.502566 | − | 0.558156i | ||||
\(195\) | −14.2617 | − | 13.9165i | −1.02130 | − | 0.996585i | ||||
\(196\) | −5.55397 | + | 3.03270i | −0.396712 | + | 0.216621i | ||||
\(197\) | −6.74231 | + | 20.7507i | −0.480370 | + | 1.47843i | 0.358207 | + | 0.933642i | \(0.383388\pi\) |
−0.838577 | + | 0.544784i | \(0.816612\pi\) | |||||||
\(198\) | 1.44507 | + | 0.643385i | 0.102696 | + | 0.0457234i | ||||
\(199\) | −9.25426 | + | 16.0288i | −0.656017 | + | 1.13625i | 0.325621 | + | 0.945500i | \(0.394427\pi\) |
−0.981638 | + | 0.190754i | \(0.938907\pi\) | |||||||
\(200\) | −15.0743 | + | 1.95879i | −1.06591 | + | 0.138507i | ||||
\(201\) | 12.7567 | + | 22.0953i | 0.899791 | + | 1.55848i | ||||
\(202\) | −4.57778 | + | 3.32595i | −0.322091 | + | 0.234013i | ||||
\(203\) | −2.58056 | − | 6.96938i | −0.181120 | − | 0.489154i | ||||
\(204\) | −2.28473 | + | 7.03168i | −0.159963 | + | 0.492316i | ||||
\(205\) | −13.3166 | + | 0.861577i | −0.930072 | + | 0.0601751i | ||||
\(206\) | −7.77068 | − | 1.65171i | −0.541409 | − | 0.115080i | ||||
\(207\) | −0.656042 | + | 1.13630i | −0.0455980 | + | 0.0789781i | ||||
\(208\) | 4.48407 | − | 4.98006i | 0.310914 | − | 0.345305i | ||||
\(209\) | 14.5717 | + | 10.5870i | 1.00795 | + | 0.732316i | ||||
\(210\) | 11.2604 | − | 1.18749i | 0.777041 | − | 0.0819449i | ||||
\(211\) | 9.33246 | − | 6.78043i | 0.642473 | − | 0.466784i | −0.218226 | − | 0.975898i | \(-0.570027\pi\) |
0.860699 | + | 0.509114i | \(0.170027\pi\) | |||||||
\(212\) | 0.0596125 | − | 0.567175i | 0.00409420 | − | 0.0389538i | ||||
\(213\) | −10.1732 | + | 4.52939i | −0.697054 | + | 0.310348i | ||||
\(214\) | −1.09205 | − | 10.3902i | −0.0746510 | − | 0.710257i | ||||
\(215\) | 3.70985 | − | 3.08018i | 0.253010 | − | 0.210067i | ||||
\(216\) | 11.9508 | + | 8.68278i | 0.813150 | + | 0.590788i | ||||
\(217\) | −12.7561 | + | 6.30952i | −0.865944 | + | 0.428318i | ||||
\(218\) | −4.72867 | −0.320266 | ||||||||
\(219\) | 14.4435 | − | 16.0411i | 0.975999 | − | 1.08396i | ||||
\(220\) | −0.357902 | + | 8.91814i | −0.0241297 | + | 0.601261i | ||||
\(221\) | 14.5918 | + | 16.2058i | 0.981549 | + | 1.09012i | ||||
\(222\) | 2.99882 | − | 0.637419i | 0.201268 | − | 0.0427808i | ||||
\(223\) | −0.570924 | + | 0.414800i | −0.0382319 | + | 0.0277771i | −0.606737 | − | 0.794903i | \(-0.707522\pi\) |
0.568505 | + | 0.822680i | \(0.307522\pi\) | |||||||
\(224\) | −1.77645 | − | 12.1501i | −0.118694 | − | 0.811816i | ||||
\(225\) | 1.63974 | + | 0.488712i | 0.109316 | + | 0.0325808i | ||||
\(226\) | −1.54528 | − | 2.67650i | −0.102790 | − | 0.178038i | ||||
\(227\) | −2.19380 | − | 20.8726i | −0.145608 | − | 1.38536i | −0.786432 | − | 0.617676i | \(-0.788074\pi\) |
0.640825 | − | 0.767687i | \(-0.278593\pi\) | |||||||
\(228\) | −4.51109 | − | 5.01007i | −0.298754 | − | 0.331800i | ||||
\(229\) | 23.6302 | − | 5.02275i | 1.56153 | − | 0.331913i | 0.655520 | − | 0.755178i | \(-0.272449\pi\) |
0.906006 | + | 0.423265i | \(0.139116\pi\) | |||||||
\(230\) | 8.88169 | + | 1.29541i | 0.585642 | + | 0.0854166i | ||||
\(231\) | 1.37143 | − | 21.3126i | 0.0902337 | − | 1.40227i | ||||
\(232\) | 8.53977 | 0.560663 | ||||||||
\(233\) | 8.33135 | − | 9.25290i | 0.545805 | − | 0.606178i | −0.405626 | − | 0.914039i | \(-0.632947\pi\) |
0.951431 | + | 0.307861i | \(0.0996132\pi\) | |||||||
\(234\) | −1.59533 | + | 0.710285i | −0.104290 | + | 0.0464328i | ||||
\(235\) | 10.9759 | − | 13.8989i | 0.715992 | − | 0.906663i | ||||
\(236\) | −3.97041 | − | 1.76774i | −0.258452 | − | 0.115070i | ||||
\(237\) | −16.5072 | − | 11.9932i | −1.07226 | − | 0.779043i | ||||
\(238\) | −12.3813 | + | 0.501217i | −0.802557 | + | 0.0324891i | ||||
\(239\) | −1.22054 | + | 0.886774i | −0.0789502 | + | 0.0573607i | −0.626560 | − | 0.779373i | \(-0.715538\pi\) |
0.547610 | + | 0.836734i | \(0.315538\pi\) | |||||||
\(240\) | −1.38794 | + | 5.44586i | −0.0895915 | + | 0.351529i | ||||
\(241\) | −7.77071 | + | 3.45974i | −0.500555 | + | 0.222862i | −0.641453 | − | 0.767163i | \(-0.721668\pi\) |
0.140897 | + | 0.990024i | \(0.455001\pi\) | |||||||
\(242\) | −8.69970 | − | 1.84918i | −0.559238 | − | 0.118870i | ||||
\(243\) | −1.76978 | − | 3.06534i | −0.113531 | − | 0.196642i | ||||
\(244\) | 1.50112 | + | 4.61997i | 0.0960992 | + | 0.295763i | ||||
\(245\) | −6.94452 | − | 14.0276i | −0.443669 | − | 0.896191i | ||||
\(246\) | −3.52955 | + | 10.8628i | −0.225036 | + | 0.692589i | ||||
\(247\) | −19.4500 | + | 4.13422i | −1.23757 | + | 0.263054i | ||||
\(248\) | −1.70935 | − | 16.2634i | −0.108544 | − | 1.03273i | ||||
\(249\) | 13.8130 | − | 23.9248i | 0.875361 | − | 1.51617i | ||||
\(250\) | −1.04161 | − | 11.6582i | −0.0658770 | − | 0.737332i | ||||
\(251\) | −1.14865 | −0.0725021 | −0.0362511 | − | 0.999343i | \(-0.511542\pi\) | ||||
−0.0362511 | + | 0.999343i | \(0.511542\pi\) | |||||||
\(252\) | −0.221229 | + | 0.788006i | −0.0139361 | + | 0.0496397i | ||||
\(253\) | 5.23152 | − | 16.1010i | 0.328903 | − | 1.01226i | ||||
\(254\) | −20.1043 | + | 4.27329i | −1.26145 | + | 0.268130i | ||||
\(255\) | −17.1524 | − | 6.34423i | −1.07412 | − | 0.397291i | ||||
\(256\) | 16.2329 | + | 3.45042i | 1.01456 | + | 0.215651i | ||||
\(257\) | 1.73983 | + | 3.01347i | 0.108527 | + | 0.187975i | 0.915174 | − | 0.403059i | \(-0.132053\pi\) |
−0.806647 | + | 0.591034i | \(0.798720\pi\) | |||||||
\(258\) | −1.27537 | − | 3.92517i | −0.0794008 | − | 0.244371i | ||||
\(259\) | −2.26579 | − | 3.58161i | −0.140789 | − | 0.222550i | ||||
\(260\) | −7.05222 | − | 6.88153i | −0.437360 | − | 0.426774i | ||||
\(261\) | −0.878130 | − | 0.390969i | −0.0543549 | − | 0.0242004i | ||||
\(262\) | −12.3772 | + | 5.51068i | −0.764665 | + | 0.340451i | ||||
\(263\) | 21.6066 | − | 9.61989i | 1.33232 | − | 0.593188i | 0.387832 | − | 0.921730i | \(-0.373224\pi\) |
0.944489 | + | 0.328542i | \(0.106557\pi\) | |||||||
\(264\) | 22.4190 | + | 9.98160i | 1.37980 | + | 0.614325i | ||||
\(265\) | 1.39588 | + | 0.203590i | 0.0857480 | + | 0.0125065i | ||||
\(266\) | 5.24905 | − | 10.0057i | 0.321840 | − | 0.613487i | ||||
\(267\) | −0.480297 | − | 1.47820i | −0.0293937 | − | 0.0904645i | ||||
\(268\) | 6.30803 | + | 10.9258i | 0.385324 | + | 0.667401i | ||||
\(269\) | −11.3495 | − | 2.41241i | −0.691991 | − | 0.147087i | −0.151526 | − | 0.988453i | \(-0.548419\pi\) |
−0.540466 | + | 0.841366i | \(0.681752\pi\) | |||||||
\(270\) | −7.04932 | + | 8.92657i | −0.429008 | + | 0.543254i | ||||
\(271\) | 6.79190 | − | 1.44366i | 0.412578 | − | 0.0876963i | 0.00305385 | − | 0.999995i | \(-0.499028\pi\) |
0.409525 | + | 0.912299i | \(0.365695\pi\) | |||||||
\(272\) | 1.90055 | − | 5.84929i | 0.115238 | − | 0.354665i | ||||
\(273\) | 16.4722 | + | 16.8690i | 0.996941 | + | 1.02096i | ||||
\(274\) | −6.70374 | −0.404988 | ||||||||
\(275\) | −22.0059 | − | 1.76913i | −1.32701 | − | 0.106682i | ||||
\(276\) | −3.16835 | + | 5.48775i | −0.190712 | + | 0.330324i | ||||
\(277\) | −2.63462 | − | 25.0668i | −0.158299 | − | 1.50612i | −0.728747 | − | 0.684783i | \(-0.759897\pi\) |
0.570448 | − | 0.821334i | \(-0.306770\pi\) | |||||||
\(278\) | −9.13675 | + | 1.94208i | −0.547986 | + | 0.116478i | ||||
\(279\) | −0.568803 | + | 1.75059i | −0.0340533 | + | 0.104805i | ||||
\(280\) | 17.8869 | − | 1.88631i | 1.06894 | − | 0.112728i | ||||
\(281\) | 6.05923 | + | 18.6484i | 0.361463 | + | 1.11247i | 0.952166 | + | 0.305580i | \(0.0988504\pi\) |
−0.590703 | + | 0.806889i | \(0.701150\pi\) | |||||||
\(282\) | −7.57930 | − | 13.1277i | −0.451341 | − | 0.781745i | ||||
\(283\) | 0.786142 | + | 0.167100i | 0.0467313 | + | 0.00993305i | 0.231218 | − | 0.972902i | \(-0.425729\pi\) |
−0.184487 | + | 0.982835i | \(0.559062\pi\) | |||||||
\(284\) | −5.03048 | + | 2.23972i | −0.298504 | + | 0.132903i | ||||
\(285\) | 12.8300 | − | 10.6524i | 0.759982 | − | 0.630991i | ||||
\(286\) | 18.2289 | − | 13.2441i | 1.07790 | − | 0.783140i | ||||
\(287\) | 15.7764 | − | 0.638661i | 0.931254 | − | 0.0376990i | ||||
\(288\) | −1.28489 | − | 0.933530i | −0.0757131 | − | 0.0550088i | ||||
\(289\) | 2.75339 | + | 1.22589i | 0.161964 | + | 0.0721110i | ||||
\(290\) | −0.263678 | + | 6.57029i | −0.0154837 | + | 0.385821i | ||||
\(291\) | −16.6888 | + | 7.43033i | −0.978315 | + | 0.435574i | ||||
\(292\) | 7.14209 | − | 7.93209i | 0.417959 | − | 0.464191i | ||||
\(293\) | −11.9126 | −0.695939 | −0.347970 | − | 0.937506i | \(-0.613129\pi\) | ||||
−0.347970 | + | 0.937506i | \(0.613129\pi\) | |||||||
\(294\) | −13.3535 | + | 1.08293i | −0.778793 | + | 0.0631576i | ||||
\(295\) | 4.76284 | − | 9.63765i | 0.277303 | − | 0.561126i | ||||
\(296\) | 4.76356 | − | 1.01252i | 0.276876 | − | 0.0588518i | ||||
\(297\) | 14.3555 | + | 15.9434i | 0.832989 | + | 0.925128i | ||||
\(298\) | 2.45073 | + | 23.3172i | 0.141967 | + | 1.35073i | ||||
\(299\) | 9.34496 | + | 16.1860i | 0.540433 | + | 0.936058i | ||||
\(300\) | 7.91911 | + | 2.36023i | 0.457210 | + | 0.136268i | ||||
\(301\) | −4.47628 | + | 3.53746i | −0.258009 | + | 0.203896i | ||||
\(302\) | 17.2800 | − | 12.5547i | 0.994354 | − | 0.722440i | ||||
\(303\) | 9.66525 | − | 2.05441i | 0.555254 | − | 0.118023i | ||||
\(304\) | 3.75254 | + | 4.16762i | 0.215223 | + | 0.239029i | ||||
\(305\) | −11.5673 | + | 3.25181i | −0.662340 | + | 0.186198i | ||||
\(306\) | −1.07242 | + | 1.19105i | −0.0613064 | + | 0.0680876i | ||||
\(307\) | 12.2668 | 0.700103 | 0.350051 | − | 0.936731i | \(-0.386164\pi\) | ||||
0.350051 | + | 0.936731i | \(0.386164\pi\) | |||||||
\(308\) | 0.678154 | − | 10.5388i | 0.0386414 | − | 0.600503i | ||||
\(309\) | 11.2234 | + | 8.15427i | 0.638477 | + | 0.463880i | ||||
\(310\) | 12.5654 | − | 0.812976i | 0.713669 | − | 0.0461740i | ||||
\(311\) | −2.48878 | − | 23.6791i | −0.141126 | − | 1.34272i | −0.804285 | − | 0.594243i | \(-0.797452\pi\) |
0.663160 | − | 0.748478i | \(-0.269215\pi\) | |||||||
\(312\) | −24.7502 | + | 11.0195i | −1.40120 | + | 0.623857i | ||||
\(313\) | −1.17623 | + | 11.1911i | −0.0664846 | + | 0.632559i | 0.909647 | + | 0.415381i | \(0.136352\pi\) |
−0.976132 | + | 0.217178i | \(0.930315\pi\) | |||||||
\(314\) | −10.2456 | + | 7.44386i | −0.578192 | + | 0.420081i | ||||
\(315\) | −1.92564 | − | 0.624933i | −0.108497 | − | 0.0352110i | ||||
\(316\) | −8.16259 | − | 5.93047i | −0.459182 | − | 0.333615i | ||||
\(317\) | 6.83113 | − | 7.58674i | 0.383674 | − | 0.426114i | −0.520112 | − | 0.854098i | \(-0.674110\pi\) |
0.903786 | + | 0.427985i | \(0.140776\pi\) | |||||||
\(318\) | 0.603704 | − | 1.04565i | 0.0338540 | − | 0.0586369i | ||||
\(319\) | 12.1316 | + | 2.57865i | 0.679238 | + | 0.144377i | ||||
\(320\) | −4.20161 | + | 16.4858i | −0.234877 | + | 0.921584i | ||||
\(321\) | −5.63771 | + | 17.3511i | −0.314666 | + | 0.968442i | ||||
\(322\) | −10.4689 | − | 1.78606i | −0.583408 | − | 0.0995333i | ||||
\(323\) | −14.7641 | + | 10.7268i | −0.821499 | + | 0.596854i | ||||
\(324\) | −4.47911 | − | 7.75805i | −0.248840 | − | 0.431003i | ||||
\(325\) | 17.7074 | − | 16.7472i | 0.982229 | − | 0.928968i | ||||
\(326\) | 1.81495 | − | 3.14358i | 0.100521 | − | 0.174107i | ||||
\(327\) | 7.54364 | + | 3.35864i | 0.417164 | + | 0.185733i | ||||
\(328\) | −5.60660 | + | 17.2553i | −0.309573 | + | 0.952767i | ||||
\(329\) | −13.3802 | + | 16.1270i | −0.737676 | + | 0.889109i | ||||
\(330\) | −8.37182 | + | 16.9405i | −0.460853 | + | 0.932542i | ||||
\(331\) | 3.13039 | − | 3.47665i | 0.172062 | − | 0.191094i | −0.650946 | − | 0.759124i | \(-0.725628\pi\) |
0.823008 | + | 0.568030i | \(0.192294\pi\) | |||||||
\(332\) | 6.83031 | − | 11.8305i | 0.374862 | − | 0.649280i | ||||
\(333\) | −0.536184 | − | 0.113969i | −0.0293827 | − | 0.00624549i | ||||
\(334\) | −0.743706 | + | 7.07589i | −0.0406938 | + | 0.387175i | ||||
\(335\) | −27.6291 | + | 14.5068i | −1.50954 | + | 0.792589i | ||||
\(336\) | 1.79735 | − | 6.40209i | 0.0980537 | − | 0.349263i | ||||
\(337\) | −4.53069 | − | 3.29174i | −0.246803 | − | 0.179313i | 0.457506 | − | 0.889207i | \(-0.348743\pi\) |
−0.704309 | + | 0.709894i | \(0.748743\pi\) | |||||||
\(338\) | −1.17756 | + | 11.2038i | −0.0640510 | + | 0.609404i | ||||
\(339\) | 0.564135 | + | 5.36739i | 0.0306396 | + | 0.291517i | ||||
\(340\) | −8.48161 | − | 3.13713i | −0.459980 | − | 0.170135i | ||||
\(341\) | 2.48255 | − | 23.6199i | 0.134438 | − | 1.27909i | ||||
\(342\) | −0.451602 | − | 1.38989i | −0.0244198 | − | 0.0751565i | ||||
\(343\) | 7.81368 | + | 16.7913i | 0.421899 | + | 0.906643i | ||||
\(344\) | −2.02589 | − | 6.23504i | −0.109229 | − | 0.336171i | ||||
\(345\) | −13.2489 | − | 8.37499i | −0.713295 | − | 0.450894i | ||||
\(346\) | −1.00713 | − | 1.11853i | −0.0541434 | − | 0.0601323i | ||||
\(347\) | 20.4321 | + | 22.6922i | 1.09685 | + | 1.21818i | 0.974189 | + | 0.225733i | \(0.0724776\pi\) |
0.122666 | + | 0.992448i | \(0.460856\pi\) | |||||||
\(348\) | −4.24093 | − | 1.88818i | −0.227338 | − | 0.101217i | ||||
\(349\) | −18.0583 | −0.966637 | −0.483318 | − | 0.875445i | \(-0.660569\pi\) | ||||
−0.483318 | + | 0.875445i | \(0.660569\pi\) | |||||||
\(350\) | 0.898994 | + | 13.8200i | 0.0480533 | + | 0.738708i | ||||
\(351\) | −23.6847 | −1.26420 | ||||||||
\(352\) | 18.7208 | + | 8.33503i | 0.997821 | + | 0.444259i | ||||
\(353\) | −19.5692 | − | 21.7338i | −1.04156 | − | 1.15677i | −0.987401 | − | 0.158240i | \(-0.949418\pi\) |
−0.0541617 | − | 0.998532i | \(-0.517249\pi\) | |||||||
\(354\) | −6.15698 | − | 6.83802i | −0.327240 | − | 0.363436i | ||||
\(355\) | −5.03656 | − | 12.6551i | −0.267313 | − | 0.671665i | ||||
\(356\) | −0.237500 | − | 0.730950i | −0.0125875 | − | 0.0387403i | ||||
\(357\) | 20.1078 | + | 7.99447i | 1.06422 | + | 0.423112i | ||||
\(358\) | 0.793039 | + | 2.44072i | 0.0419134 | + | 0.128996i | ||||
\(359\) | 0.871445 | − | 8.29124i | 0.0459931 | − | 0.437595i | −0.947159 | − | 0.320765i | \(-0.896060\pi\) |
0.993152 | − | 0.116830i | \(-0.0372733\pi\) | |||||||
\(360\) | 1.44175 | − | 1.82569i | 0.0759870 | − | 0.0962225i | ||||
\(361\) | 0.246627 | + | 2.34650i | 0.0129804 | + | 0.123500i | ||||
\(362\) | 1.07641 | − | 10.2414i | 0.0565750 | − | 0.538275i | ||||
\(363\) | 12.5652 | + | 9.12915i | 0.659502 | + | 0.479156i | ||||
\(364\) | 8.14525 | + | 8.34145i | 0.426927 | + | 0.437211i | ||||
\(365\) | 18.8960 | + | 18.4386i | 0.989061 | + | 0.965122i | ||||
\(366\) | −1.07502 | + | 10.2282i | −0.0561924 | + | 0.534635i | ||||
\(367\) | 1.13831 | + | 0.241954i | 0.0594191 | + | 0.0126299i | 0.237525 | − | 0.971381i | \(-0.423664\pi\) |
−0.178106 | + | 0.984011i | \(0.556997\pi\) | |||||||
\(368\) | 2.63559 | − | 4.56497i | 0.137389 | − | 0.237966i | ||||
\(369\) | 1.36650 | − | 1.51766i | 0.0711374 | − | 0.0790060i | ||||
\(370\) | 0.631930 | + | 3.69623i | 0.0328525 | + | 0.192158i | ||||
\(371\) | −1.64533 | − | 0.280703i | −0.0854210 | − | 0.0145734i | ||||
\(372\) | −2.74703 | + | 8.45449i | −0.142427 | + | 0.438345i | ||||
\(373\) | −35.0335 | − | 15.5979i | −1.81396 | − | 0.807629i | −0.955651 | − | 0.294502i | \(-0.904846\pi\) |
−0.858313 | − | 0.513126i | \(-0.828487\pi\) | |||||||
\(374\) | 10.3397 | − | 17.9090i | 0.534655 | − | 0.926050i | ||||
\(375\) | −6.61886 | + | 19.3382i | −0.341796 | + | 0.998621i | ||||
\(376\) | −12.0395 | − | 20.8531i | −0.620891 | − | 1.07542i | ||||
\(377\) | −11.0773 | + | 8.04811i | −0.570508 | + | 0.414499i | ||||
\(378\) | 8.59347 | − | 10.3576i | 0.442001 | − | 0.532736i | ||||
\(379\) | 1.59263 | − | 4.90161i | 0.0818079 | − | 0.251779i | −0.901784 | − | 0.432187i | \(-0.857742\pi\) |
0.983592 | + | 0.180408i | \(0.0577419\pi\) | |||||||
\(380\) | 6.34424 | − | 5.26743i | 0.325453 | − | 0.270214i | ||||
\(381\) | 35.1075 | + | 7.46233i | 1.79861 | + | 0.382307i | ||||
\(382\) | −11.2514 | + | 19.4881i | −0.575673 | + | 0.997096i | ||||
\(383\) | −6.26143 | + | 6.95402i | −0.319944 | + | 0.355334i | −0.881567 | − | 0.472060i | \(-0.843511\pi\) |
0.561622 | + | 0.827394i | \(0.310177\pi\) | |||||||
\(384\) | −1.94805 | − | 1.41534i | −0.0994110 | − | 0.0722263i | ||||
\(385\) | 25.9796 | + | 2.72139i | 1.32404 | + | 0.138695i | ||||
\(386\) | −1.22734 | + | 0.891718i | −0.0624702 | + | 0.0453873i | ||||
\(387\) | −0.0771348 | + | 0.733889i | −0.00392098 | + | 0.0373057i | ||||
\(388\) | −8.25237 | + | 3.67419i | −0.418951 | + | 0.186529i | ||||
\(389\) | −3.76390 | − | 35.8111i | −0.190837 | − | 1.81570i | −0.501480 | − | 0.865169i | \(-0.667211\pi\) |
0.310643 | − | 0.950527i | \(-0.399456\pi\) | |||||||
\(390\) | −7.71394 | − | 19.3825i | −0.390610 | − | 0.981469i | ||||
\(391\) | 13.8772 | + | 10.0824i | 0.701799 | + | 0.509887i | ||||
\(392\) | −21.2117 | + | 1.72021i | −1.07135 | + | 0.0868835i | ||||
\(393\) | 23.6594 | 1.19346 | ||||||||
\(394\) | −15.2842 | + | 16.9748i | −0.770005 | + | 0.855178i | ||||
\(395\) | 15.4669 | − | 19.5858i | 0.778226 | − | 0.985471i | ||||
\(396\) | −0.913974 | − | 1.01507i | −0.0459289 | − | 0.0510092i | ||||
\(397\) | −12.2710 | + | 2.60828i | −0.615863 | + | 0.130906i | −0.505272 | − | 0.862960i | \(-0.668608\pi\) |
−0.110591 | + | 0.993866i | \(0.535274\pi\) | |||||||
\(398\) | −15.6759 | + | 11.3892i | −0.785764 | + | 0.570891i | ||||
\(399\) | −15.4806 | + | 12.2338i | −0.774997 | + | 0.612455i | ||||
\(400\) | −6.58750 | − | 1.96336i | −0.329375 | − | 0.0981678i | ||||
\(401\) | −4.67422 | − | 8.09599i | −0.233420 | − | 0.404295i | 0.725393 | − | 0.688335i | \(-0.241658\pi\) |
−0.958812 | + | 0.284041i | \(0.908325\pi\) | |||||||
\(402\) | 2.79196 | + | 26.5637i | 0.139250 | + | 1.32488i | ||||
\(403\) | 17.5443 | + | 19.4849i | 0.873944 | + | 0.970614i | ||||
\(404\) | 4.77933 | − | 1.01588i | 0.237780 | − | 0.0505418i | ||||
\(405\) | 19.6185 | − | 10.3008i | 0.974852 | − | 0.511849i | ||||
\(406\) | 0.499619 | − | 7.76427i | 0.0247957 | − | 0.385334i | ||||
\(407\) | 7.07284 | 0.350587 | ||||||||
\(408\) | −16.6378 | + | 18.4781i | −0.823693 | + | 0.914804i | ||||
\(409\) | 0.129502 | − | 0.0576582i | 0.00640348 | − | 0.00285101i | −0.403532 | − | 0.914965i | \(-0.632218\pi\) |
0.409936 | + | 0.912114i | \(0.365551\pi\) | |||||||
\(410\) | −13.1027 | − | 4.84637i | −0.647098 | − | 0.239345i | ||||
\(411\) | 10.6945 | + | 4.76148i | 0.527519 | + | 0.234867i | ||||
\(412\) | 5.54981 | + | 4.03217i | 0.273419 | + | 0.198651i | ||||
\(413\) | −5.90918 | + | 11.2640i | −0.290772 | + | 0.554266i | ||||
\(414\) | −1.11128 | + | 0.807392i | −0.0546165 | + | 0.0396812i | ||||
\(415\) | 28.5618 | + | 18.0547i | 1.40204 | + | 0.886272i | ||||
\(416\) | −20.6674 | + | 9.20173i | −1.01330 | + | 0.451152i | ||||
\(417\) | 15.9552 | + | 3.39139i | 0.781331 | + | 0.166077i | ||||
\(418\) | 9.42817 | + | 16.3301i | 0.461147 | + | 0.798730i | ||||
\(419\) | −2.69527 | − | 8.29520i | −0.131673 | − | 0.405247i | 0.863385 | − | 0.504546i | \(-0.168340\pi\) |
−0.995058 | + | 0.0992989i | \(0.968340\pi\) | |||||||
\(420\) | −9.29985 | − | 3.01811i | −0.453786 | − | 0.147269i | ||||
\(421\) | 5.77567 | − | 17.7757i | 0.281489 | − | 0.866334i | −0.705940 | − | 0.708271i | \(-0.749475\pi\) |
0.987429 | − | 0.158062i | \(-0.0505247\pi\) | |||||||
\(422\) | 11.8127 | − | 2.51086i | 0.575031 | − | 0.122227i | ||||
\(423\) | 0.283307 | + | 2.69548i | 0.0137748 | + | 0.131059i | ||||
\(424\) | 0.958969 | − | 1.66098i | 0.0465717 | − | 0.0806645i | ||||
\(425\) | 8.59477 | − | 20.6514i | 0.416908 | − | 1.00174i | ||||
\(426\) | −11.6582 | −0.564840 | ||||||||
\(427\) | 13.7755 | − | 3.51598i | 0.666643 | − | 0.170150i | ||||
\(428\) | −2.78776 | + | 8.57985i | −0.134752 | + | 0.414723i | ||||
\(429\) | −38.4875 | + | 8.18078i | −1.85820 | + | 0.394972i | ||||
\(430\) | 4.85964 | − | 1.36615i | 0.234353 | − | 0.0658818i | ||||
\(431\) | −8.50295 | − | 1.80736i | −0.409573 | − | 0.0870574i | −0.00148230 | − | 0.999999i | \(-0.500472\pi\) |
−0.408090 | + | 0.912942i | \(0.633805\pi\) | |||||||
\(432\) | 3.33994 | + | 5.78494i | 0.160693 | + | 0.278328i | ||||
\(433\) | −5.52393 | − | 17.0009i | −0.265463 | − | 0.817011i | −0.991586 | − | 0.129446i | \(-0.958680\pi\) |
0.726124 | − | 0.687564i | \(-0.241320\pi\) | |||||||
\(434\) | −14.8865 | + | 0.602635i | −0.714575 | + | 0.0289274i | ||||
\(435\) | 5.08734 | − | 10.2943i | 0.243919 | − | 0.493574i | ||||
\(436\) | 3.73022 | + | 1.66080i | 0.178645 | + | 0.0795379i | ||||
\(437\) | −14.2887 | + | 6.36172i | −0.683519 | + | 0.304322i | ||||
\(438\) | 20.6441 | − | 9.19133i | 0.986412 | − | 0.439179i | ||||
\(439\) | −3.05561 | − | 1.36045i | −0.145836 | − | 0.0649305i | 0.332521 | − | 0.943096i | \(-0.392101\pi\) |
−0.478357 | + | 0.878165i | \(0.658768\pi\) | |||||||
\(440\) | −13.2984 | + | 26.9095i | −0.633978 | + | 1.28286i | ||||
\(441\) | 2.25992 | + | 0.794233i | 0.107615 | + | 0.0378206i | ||||
\(442\) | 7.05479 | + | 21.7124i | 0.335562 | + | 1.03275i | ||||
\(443\) | 5.50968 | + | 9.54304i | 0.261773 | + | 0.453404i | 0.966713 | − | 0.255863i | \(-0.0823596\pi\) |
−0.704940 | + | 0.709267i | \(0.749026\pi\) | |||||||
\(444\) | −2.58950 | − | 0.550415i | −0.122892 | − | 0.0261216i | ||||
\(445\) | 1.83012 | − | 0.514487i | 0.0867560 | − | 0.0243890i | ||||
\(446\) | −0.722652 | + | 0.153604i | −0.0342186 | + | 0.00727338i | ||||
\(447\) | 12.6519 | − | 38.9386i | 0.598414 | − | 1.84173i | ||||
\(448\) | 5.44099 | − | 19.3805i | 0.257062 | − | 0.915644i | ||||
\(449\) | −18.2808 | −0.862726 | −0.431363 | − | 0.902179i | \(-0.641967\pi\) | ||||
−0.431363 | + | 0.902179i | \(0.641967\pi\) | |||||||
\(450\) | 1.36013 | + | 1.16562i | 0.0641171 | + | 0.0549478i | ||||
\(451\) | −13.1751 | + | 22.8200i | −0.620392 | + | 1.07455i | ||||
\(452\) | 0.278957 | + | 2.65410i | 0.0131210 | + | 0.124838i | ||||
\(453\) | −36.4840 | + | 7.75492i | −1.71417 | + | 0.364358i | ||||
\(454\) | 6.78968 | − | 20.8965i | 0.318655 | − | 0.980721i | ||||
\(455\) | −21.4240 | + | 19.3039i | −1.00437 | + | 0.904979i | ||||
\(456\) | −7.00624 | − | 21.5630i | −0.328097 | − | 1.00978i | ||||
\(457\) | 13.7354 | + | 23.7904i | 0.642515 | + | 1.11287i | 0.984870 | + | 0.173298i | \(0.0554422\pi\) |
−0.342355 | + | 0.939571i | \(0.611224\pi\) | |||||||
\(458\) | 24.7384 | + | 5.25831i | 1.15595 | + | 0.245705i | ||||
\(459\) | −19.8580 | + | 8.84134i | −0.926891 | + | 0.412678i | ||||
\(460\) | −6.55137 | − | 4.14131i | −0.305459 | − | 0.193090i | ||||
\(461\) | 7.33118 | − | 5.32641i | 0.341447 | − | 0.248076i | −0.403825 | − | 0.914836i | \(-0.632320\pi\) |
0.745272 | + | 0.666760i | \(0.232320\pi\) | |||||||
\(462\) | 10.3868 | − | 19.7992i | 0.483237 | − | 0.921141i | ||||
\(463\) | −3.06884 | − | 2.22964i | −0.142621 | − | 0.103620i | 0.514187 | − | 0.857678i | \(-0.328094\pi\) |
−0.656808 | + | 0.754058i | \(0.728094\pi\) | |||||||
\(464\) | 3.52781 | + | 1.57068i | 0.163774 | + | 0.0729171i | ||||
\(465\) | −20.6230 | − | 7.62794i | −0.956371 | − | 0.353737i | ||||
\(466\) | 11.9080 | − | 5.30179i | 0.551628 | − | 0.245601i | ||||
\(467\) | 6.04851 | − | 6.71755i | 0.279892 | − | 0.310851i | −0.586764 | − | 0.809758i | \(-0.699598\pi\) |
0.866656 | + | 0.498907i | \(0.166265\pi\) | |||||||
\(468\) | 1.50794 | 0.0697047 | ||||||||
\(469\) | 33.0962 | − | 16.3702i | 1.52824 | − | 0.755907i | ||||
\(470\) | 16.4156 | − | 8.61905i | 0.757195 | − | 0.397567i | ||||
\(471\) | 21.6320 | − | 4.59801i | 0.996748 | − | 0.211865i | ||||
\(472\) | −9.78021 | − | 10.8620i | −0.450171 | − | 0.499965i | ||||
\(473\) | −0.995256 | − | 9.46922i | −0.0457619 | − | 0.435395i | ||||
\(474\) | −10.6805 | − | 18.4992i | −0.490571 | − | 0.849695i | ||||
\(475\) | 12.3893 | + | 16.2024i | 0.568462 | + | 0.743418i | ||||
\(476\) | 9.94301 | + | 3.95315i | 0.455737 | + | 0.181192i | ||||
\(477\) | −0.174653 | + | 0.126893i | −0.00799679 | + | 0.00581001i | ||||
\(478\) | −1.54491 | + | 0.328381i | −0.0706626 | + | 0.0150198i | ||||
\(479\) | −2.29218 | − | 2.54572i | −0.104732 | − | 0.116317i | 0.688499 | − | 0.725237i | \(-0.258270\pi\) |
−0.793232 | + | 0.608920i | \(0.791603\pi\) | |||||||
\(480\) | 11.7583 | − | 14.8896i | 0.536692 | − | 0.679615i | ||||
\(481\) | −5.22476 | + | 5.80269i | −0.238229 | + | 0.264580i | ||||
\(482\) | −8.90503 | −0.405613 | ||||||||
\(483\) | 15.4324 | + | 10.2851i | 0.702199 | + | 0.467987i | ||||
\(484\) | 6.21331 | + | 4.51423i | 0.282423 | + | 0.205192i | ||||
\(485\) | −8.26234 | − | 20.7604i | −0.375173 | − | 0.942681i | ||||
\(486\) | −0.387336 | − | 3.68525i | −0.0175699 | − | 0.167166i | ||||
\(487\) | 2.81563 | − | 1.25360i | 0.127589 | − | 0.0568061i | −0.341949 | − | 0.939718i | \(-0.611087\pi\) |
0.469538 | + | 0.882912i | \(0.344420\pi\) | |||||||
\(488\) | −1.70765 | + | 16.2472i | −0.0773017 | + | 0.735476i | ||||
\(489\) | −5.12819 | + | 3.72585i | −0.231905 | + | 0.168489i | ||||
\(490\) | −0.668540 | − | 16.3729i | −0.0302016 | − | 0.739653i | ||||
\(491\) | −18.6479 | − | 13.5485i | −0.841568 | − | 0.611435i | 0.0812405 | − | 0.996695i | \(-0.474112\pi\) |
−0.922808 | + | 0.385260i | \(0.874112\pi\) | |||||||
\(492\) | 6.59953 | − | 7.32952i | 0.297530 | − | 0.330440i | ||||
\(493\) | −6.28320 | + | 10.8828i | −0.282981 | + | 0.490138i | ||||
\(494\) | −20.3622 | − | 4.32811i | −0.916137 | − | 0.194731i | ||||
\(495\) | 2.59943 | − | 2.15823i | 0.116836 | − | 0.0970052i | ||||
\(496\) | 2.28511 | − | 7.03285i | 0.102605 | − | 0.315784i | ||||
\(497\) | 5.59603 | + | 15.1133i | 0.251016 | + | 0.677924i | ||||
\(498\) | 23.3980 | − | 16.9997i | 1.04849 | − | 0.761773i | ||||
\(499\) | 10.2205 | + | 17.7024i | 0.457532 | + | 0.792468i | 0.998830 | − | 0.0483627i | \(-0.0154003\pi\) |
−0.541298 | + | 0.840831i | \(0.682067\pi\) | |||||||
\(500\) | −3.27293 | + | 9.56246i | −0.146370 | + | 0.427646i | ||||
\(501\) | 6.21225 | − | 10.7599i | 0.277543 | − | 0.480718i | ||||
\(502\) | −1.09856 | − | 0.489109i | −0.0490310 | − | 0.0218300i | ||||
\(503\) | 4.55019 | − | 14.0040i | 0.202883 | − | 0.624410i | −0.796911 | − | 0.604097i | \(-0.793534\pi\) |
0.999794 | − | 0.0203124i | \(-0.00646609\pi\) | |||||||
\(504\) | −1.75757 | + | 2.11837i | −0.0782883 | + | 0.0943596i | ||||
\(505\) | 2.03672 | + | 11.9130i | 0.0906329 | + | 0.530121i | ||||
\(506\) | 11.8594 | − | 13.1711i | 0.527213 | − | 0.585529i | ||||
\(507\) | 9.83629 | − | 17.0370i | 0.436845 | − | 0.756638i | ||||
\(508\) | 17.3601 | + | 3.69001i | 0.770232 | + | 0.163718i | ||||
\(509\) | −3.62688 | + | 34.5075i | −0.160759 | + | 1.52952i | 0.555403 | + | 0.831582i | \(0.312564\pi\) |
−0.716161 | + | 0.697935i | \(0.754103\pi\) | |||||||
\(510\) | −13.7029 | − | 13.3712i | −0.606775 | − | 0.592089i | ||||
\(511\) | −21.8247 | − | 22.3504i | −0.965467 | − | 0.988723i | ||||
\(512\) | 11.9246 | + | 8.66376i | 0.527000 | + | 0.382888i | ||||
\(513\) | 2.07184 | − | 19.7123i | 0.0914741 | − | 0.870318i | ||||
\(514\) | 0.380781 | + | 3.62289i | 0.0167955 | + | 0.159799i | ||||
\(515\) | −10.5161 | + | 13.3166i | −0.463394 | + | 0.586798i | ||||
\(516\) | −0.372523 | + | 3.54432i | −0.0163994 | + | 0.156030i | ||||
\(517\) | −10.8066 | − | 33.2593i | −0.475273 | − | 1.46274i | ||||
\(518\) | −0.641886 | − | 4.39021i | −0.0282028 | − | 0.192895i | ||||
\(519\) | 0.812207 | + | 2.49972i | 0.0356519 | + | 0.109725i | ||||
\(520\) | −12.2534 | − | 30.7886i | −0.537347 | − | 1.35017i | ||||
\(521\) | 8.15223 | + | 9.05397i | 0.357156 | + | 0.396662i | 0.894769 | − | 0.446530i | \(-0.147340\pi\) |
−0.537613 | + | 0.843192i | \(0.680674\pi\) | |||||||
\(522\) | −0.673355 | − | 0.747837i | −0.0294720 | − | 0.0327319i | ||||
\(523\) | 0.751717 | + | 0.334686i | 0.0328703 | + | 0.0146348i | 0.423106 | − | 0.906080i | \(-0.360940\pi\) |
−0.390236 | + | 0.920715i | \(0.627606\pi\) | |||||||
\(524\) | 11.6992 | 0.511083 | ||||||||
\(525\) | 8.38177 | − | 22.6855i | 0.365811 | − | 0.990076i | ||||
\(526\) | 24.7606 | 1.07961 | ||||||||
\(527\) | 21.9832 | + | 9.78756i | 0.957605 | + | 0.426353i | ||||
\(528\) | 7.42551 | + | 8.24686i | 0.323154 | + | 0.358899i | ||||
\(529\) | −5.55295 | − | 6.16718i | −0.241433 | − | 0.268138i | ||||
\(530\) | 1.24831 | + | 0.789093i | 0.0542231 | + | 0.0342760i | ||||
\(531\) | 0.508396 | + | 1.56468i | 0.0220625 | + | 0.0679014i | ||||
\(532\) | −7.65491 | + | 6.04943i | −0.331883 | + | 0.262276i | ||||
\(533\) | −8.98936 | − | 27.6664i | −0.389372 | − | 1.19836i | ||||
\(534\) | 0.170085 | − | 1.61825i | 0.00736031 | − | 0.0700287i | ||||
\(535\) | −20.9288 | − | 7.74105i | −0.904833 | − | 0.334675i | ||||
\(536\) | 4.43496 | + | 42.1958i | 0.191561 | + | 1.82258i | ||||
\(537\) | 0.468445 | − | 4.45696i | 0.0202149 | − | 0.192332i | ||||
\(538\) | −9.82731 | − | 7.13996i | −0.423685 | − | 0.307825i | ||||
\(539\) | −30.6528 | − | 3.96132i | −1.32031 | − | 0.170626i | ||||
\(540\) | 8.69605 | − | 4.56589i | 0.374219 | − | 0.196485i | ||||
\(541\) | 1.05279 | − | 10.0166i | 0.0452630 | − | 0.430648i | −0.948301 | − | 0.317373i | \(-0.897199\pi\) |
0.993564 | − | 0.113275i | \(-0.0361341\pi\) | |||||||
\(542\) | 7.11043 | + | 1.51137i | 0.305419 | + | 0.0649188i | ||||
\(543\) | −8.99137 | + | 15.5735i | −0.385857 | + | 0.668323i | ||||
\(544\) | −13.8932 | + | 15.4300i | −0.595667 | + | 0.661555i | ||||
\(545\) | −4.47470 | + | 9.05461i | −0.191675 | + | 0.387857i | ||||
\(546\) | 8.57081 | + | 23.1473i | 0.366797 | + | 0.990615i | ||||
\(547\) | 3.67455 | − | 11.3091i | 0.157112 | − | 0.483542i | −0.841257 | − | 0.540636i | \(-0.818184\pi\) |
0.998369 | + | 0.0570944i | \(0.0181836\pi\) | |||||||
\(548\) | 5.28826 | + | 2.35448i | 0.225903 | + | 0.100579i | ||||
\(549\) | 0.919426 | − | 1.59249i | 0.0392402 | − | 0.0679659i | ||||
\(550\) | −20.2929 | − | 11.0624i | −0.865293 | − | 0.471701i | ||||
\(551\) | −5.72926 | − | 9.92337i | −0.244075 | − | 0.422750i | ||||
\(552\) | −17.2406 | + | 12.5260i | −0.733809 | + | 0.533144i | ||||
\(553\) | −18.8550 | + | 22.7256i | −0.801796 | + | 0.966392i | ||||
\(554\) | 8.15401 | − | 25.0955i | 0.346431 | − | 1.06620i | ||||
\(555\) | 1.61721 | − | 6.34543i | 0.0686468 | − | 0.269348i | ||||
\(556\) | 7.88964 | + | 1.67699i | 0.334595 | + | 0.0711204i | ||||
\(557\) | −0.856699 | + | 1.48385i | −0.0362995 | + | 0.0628725i | −0.883604 | − | 0.468234i | \(-0.844890\pi\) |
0.847305 | + | 0.531107i | \(0.178224\pi\) | |||||||
\(558\) | −1.28942 | + | 1.43205i | −0.0545855 | + | 0.0606234i | ||||
\(559\) | 8.50393 | + | 6.17847i | 0.359678 | + | 0.261321i | ||||
\(560\) | 7.73606 | + | 2.51061i | 0.326908 | + | 0.106093i | ||||
\(561\) | −29.2152 | + | 21.2261i | −1.23347 | + | 0.896167i | ||||
\(562\) | −2.14572 | + | 20.4152i | −0.0905119 | + | 0.861163i | ||||
\(563\) | −19.9051 | + | 8.86233i | −0.838901 | + | 0.373503i | −0.780780 | − | 0.624807i | \(-0.785178\pi\) |
−0.0581216 | + | 0.998310i | \(0.518511\pi\) | |||||||
\(564\) | 1.36823 | + | 13.0178i | 0.0576128 | + | 0.548150i | ||||
\(565\) | −6.58734 | + | 0.426197i | −0.277132 | + | 0.0179303i | ||||
\(566\) | 0.680705 | + | 0.494561i | 0.0286122 | + | 0.0207880i | ||||
\(567\) | −23.5005 | + | 11.6239i | −0.986927 | + | 0.488160i | ||||
\(568\) | −18.5187 | −0.777029 | ||||||||
\(569\) | 13.9084 | − | 15.4468i | 0.583070 | − | 0.647565i | −0.377366 | − | 0.926064i | \(-0.623170\pi\) |
0.960437 | + | 0.278499i | \(0.0898368\pi\) | |||||||
\(570\) | 16.8064 | − | 4.72464i | 0.703941 | − | 0.197893i | ||||
\(571\) | −25.9884 | − | 28.8631i | −1.08758 | − | 1.20788i | −0.976826 | − | 0.214035i | \(-0.931339\pi\) |
−0.110757 | − | 0.993848i | \(-0.535327\pi\) | |||||||
\(572\) | −19.0315 | + | 4.04528i | −0.795748 | + | 0.169141i | ||||
\(573\) | 31.7912 | − | 23.0977i | 1.32810 | − | 0.964920i | ||||
\(574\) | 15.3604 | + | 6.10699i | 0.641130 | + | 0.254901i | ||||
\(575\) | 10.8852 | − | 15.7811i | 0.453943 | − | 0.658119i | ||||
\(576\) | −1.30180 | − | 2.25479i | −0.0542418 | − | 0.0939495i | ||||
\(577\) | 2.64322 | + | 25.1486i | 0.110039 | + | 1.04695i | 0.900624 | + | 0.434598i | \(0.143110\pi\) |
−0.790586 | + | 0.612352i | \(0.790224\pi\) | |||||||
\(578\) | 2.11131 | + | 2.34485i | 0.0878190 | + | 0.0975329i | ||||
\(579\) | 2.59134 | − | 0.550807i | 0.107693 | − | 0.0228908i | ||||
\(580\) | 2.51562 | − | 5.09038i | 0.104455 | − | 0.211366i | ||||
\(581\) | −33.2691 | − | 22.1725i | −1.38023 | − | 0.919869i | ||||
\(582\) | −19.1249 | −0.792753 | ||||||||
\(583\) | 1.86386 | − | 2.07002i | 0.0771930 | − | 0.0857315i | ||||
\(584\) | 32.7926 | − | 14.6002i | 1.35697 | − | 0.604161i | ||||
\(585\) | −0.149568 | + | 3.72692i | −0.00618390 | + | 0.154089i | ||||
\(586\) | −11.3931 | − | 5.07251i | −0.470643 | − | 0.209544i | ||||
\(587\) | 13.4450 | + | 9.76836i | 0.554934 | + | 0.403183i | 0.829601 | − | 0.558356i | \(-0.188568\pi\) |
−0.274667 | + | 0.961539i | \(0.588568\pi\) | |||||||
\(588\) | 10.9143 | + | 3.83575i | 0.450098 | + | 0.158184i | ||||
\(589\) | −17.7516 | + | 12.8973i | −0.731441 | + | 0.531423i | ||||
\(590\) | 8.65896 | − | 7.18927i | 0.356484 | − | 0.295978i | ||||
\(591\) | 36.4395 | − | 16.2239i | 1.49892 | − | 0.667363i | ||||
\(592\) | 2.15407 | + | 0.457862i | 0.0885317 | + | 0.0188180i | ||||
\(593\) | 13.9405 | + | 24.1457i | 0.572469 | + | 0.991545i | 0.996312 | + | 0.0858093i | \(0.0273476\pi\) |
−0.423843 | + | 0.905736i | \(0.639319\pi\) | |||||||
\(594\) | 6.94055 | + | 21.3608i | 0.284774 | + | 0.876444i | ||||
\(595\) | −10.7565 | + | 24.1823i | −0.440975 | + | 0.991379i | ||||
\(596\) | 6.25618 | − | 19.2546i | 0.256263 | − | 0.788697i | ||||
\(597\) | 33.0973 | − | 7.03505i | 1.35458 | − | 0.287925i | ||||
\(598\) | 2.04525 | + | 19.4593i | 0.0836366 | + | 0.795749i | ||||
\(599\) | 13.6256 | − | 23.6003i | 0.556728 | − | 0.964281i | −0.441039 | − | 0.897488i | \(-0.645390\pi\) |
0.997767 | − | 0.0667933i | \(-0.0212768\pi\) | |||||||
\(600\) | 21.1013 | + | 18.0836i | 0.861457 | + | 0.738262i | ||||
\(601\) | 41.4915 | 1.69247 | 0.846237 | − | 0.532807i | \(-0.178863\pi\) | ||||
0.846237 | + | 0.532807i | \(0.178863\pi\) | |||||||
\(602\) | −5.78736 | + | 1.47714i | −0.235875 | + | 0.0602036i | ||||
\(603\) | 1.47578 | − | 4.54197i | 0.0600982 | − | 0.184963i | ||||
\(604\) | −18.0408 | + | 3.83470i | −0.734071 | + | 0.156032i | ||||
\(605\) | −11.7733 | + | 14.9086i | −0.478654 | + | 0.606121i | ||||
\(606\) | 10.1185 | + | 2.15076i | 0.411037 | + | 0.0873687i | ||||
\(607\) | 5.97312 | + | 10.3457i | 0.242441 | + | 0.419921i | 0.961409 | − | 0.275123i | \(-0.0887185\pi\) |
−0.718968 | + | 0.695043i | \(0.755385\pi\) | |||||||
\(608\) | −5.85049 | − | 18.0059i | −0.237269 | − | 0.730238i | ||||
\(609\) | −6.31179 | + | 12.0315i | −0.255767 | + | 0.487540i | ||||
\(610\) | −12.4475 | − | 1.81548i | −0.503984 | − | 0.0735067i | ||||
\(611\) | 35.2694 | + | 15.7030i | 1.42685 | + | 0.635274i | ||||
\(612\) | 1.26430 | − | 0.562904i | 0.0511064 | − | 0.0227540i | ||||
\(613\) | −26.7446 | + | 11.9075i | −1.08021 | + | 0.480939i | −0.868141 | − | 0.496317i | \(-0.834685\pi\) |
−0.212065 | + | 0.977256i | \(0.568019\pi\) | |||||||
\(614\) | 11.7318 | + | 5.22335i | 0.473458 | + | 0.210797i | ||||
\(615\) | 17.4605 | + | 17.0379i | 0.704076 | + | 0.687035i | ||||
\(616\) | 16.4992 | − | 31.4505i | 0.664770 | − | 1.26718i | ||||
\(617\) | 3.76979 | + | 11.6022i | 0.151766 | + | 0.467088i | 0.997819 | − | 0.0660112i | \(-0.0210273\pi\) |
−0.846053 | + | 0.533099i | \(0.821027\pi\) | |||||||
\(618\) | 7.26175 | + | 12.5777i | 0.292110 | + | 0.505950i | ||||
\(619\) | 6.17405 | + | 1.31234i | 0.248156 | + | 0.0527472i | 0.330310 | − | 0.943872i | \(-0.392847\pi\) |
−0.0821541 | + | 0.996620i | \(0.526180\pi\) | |||||||
\(620\) | −10.1978 | − | 3.77191i | −0.409554 | − | 0.151483i | ||||
\(621\) | −18.2230 | + | 3.87342i | −0.731263 | + | 0.155435i | ||||
\(622\) | 7.70262 | − | 23.7062i | 0.308847 | − | 0.950534i | ||||
\(623\) | −2.17949 | + | 0.556283i | −0.0873196 | + | 0.0222870i | ||||
\(624\) | −12.2512 | −0.490439 | ||||||||
\(625\) | −23.3093 | − | 9.03761i | −0.932370 | − | 0.361504i | ||||
\(626\) | −5.89025 | + | 10.2022i | −0.235422 | + | 0.407762i | ||||
\(627\) | −3.44194 | − | 32.7479i | −0.137458 | − | 1.30783i | ||||
\(628\) | 10.6967 | − | 2.27365i | 0.426844 | − | 0.0907286i | ||||
\(629\) | −2.21449 | + | 6.81550i | −0.0882975 | + | 0.271752i | ||||
\(630\) | −1.57555 | − | 1.41764i | −0.0627715 | − | 0.0564800i | ||||
\(631\) | 7.28267 | + | 22.4137i | 0.289918 | + | 0.892277i | 0.984881 | + | 0.173231i | \(0.0554208\pi\) |
−0.694963 | + | 0.719046i | \(0.744579\pi\) | |||||||
\(632\) | −16.9657 | − | 29.3855i | −0.674860 | − | 1.16889i | ||||
\(633\) | −20.6281 | − | 4.38464i | −0.819894 | − | 0.174274i | ||||
\(634\) | 9.76374 | − | 4.34710i | 0.387768 | − | 0.172645i | ||||
\(635\) | −10.8419 | + | 42.5401i | −0.430246 | + | 1.68815i | ||||
\(636\) | −0.843484 | + | 0.612827i | −0.0334463 | + | 0.0243002i | ||||
\(637\) | 25.8934 | − | 22.2219i | 1.02593 | − | 0.880462i | ||||
\(638\) | 10.5045 | + | 7.63196i | 0.415877 | + | 0.302152i | ||||
\(639\) | 1.90425 | + | 0.847827i | 0.0753310 | + | 0.0335395i | ||||
\(640\) | 1.82528 | − | 2.31136i | 0.0721506 | − | 0.0913646i | ||||
\(641\) | 12.9754 | − | 5.77703i | 0.512499 | − | 0.228179i | −0.134159 | − | 0.990960i | \(-0.542833\pi\) |
0.646657 | + | 0.762781i | \(0.276166\pi\) | |||||||
\(642\) | −12.7801 | + | 14.1938i | −0.504392 | + | 0.560184i | ||||
\(643\) | −25.8838 | −1.02076 | −0.510379 | − | 0.859949i | \(-0.670495\pi\) | ||||
−0.510379 | + | 0.859949i | \(0.670495\pi\) | |||||||
\(644\) | 7.63110 | + | 5.08582i | 0.300708 | + | 0.200409i | ||||
\(645\) | −8.72292 | − | 1.27225i | −0.343465 | − | 0.0500948i | ||||
\(646\) | −18.6879 | + | 3.97223i | −0.735264 | + | 0.156285i | ||||
\(647\) | 1.47657 | + | 1.63990i | 0.0580500 | + | 0.0644710i | 0.771470 | − | 0.636265i | \(-0.219522\pi\) |
−0.713420 | + | 0.700736i | \(0.752855\pi\) | |||||||
\(648\) | −3.14911 | − | 29.9618i | −0.123709 | − | 1.17701i | ||||
\(649\) | −10.6139 | − | 18.3838i | −0.416631 | − | 0.721626i | ||||
\(650\) | 24.0663 | − | 8.47683i | 0.943959 | − | 0.332489i | ||||
\(651\) | 24.1765 | + | 9.61210i | 0.947550 | + | 0.376728i | ||||
\(652\) | −2.53581 | + | 1.84238i | −0.0993102 | + | 0.0721531i | ||||
\(653\) | −5.41672 | + | 1.15136i | −0.211973 | + | 0.0450562i | −0.312674 | − | 0.949861i | \(-0.601225\pi\) |
0.100701 | + | 0.994917i | \(0.467891\pi\) | |||||||
\(654\) | 5.78450 | + | 6.42434i | 0.226192 | + | 0.251212i | ||||
\(655\) | −1.16041 | + | 28.9150i | −0.0453411 | + | 1.12980i | ||||
\(656\) | −5.48980 | + | 6.09705i | −0.214341 | + | 0.238050i | ||||
\(657\) | −4.04044 | −0.157633 | ||||||||
\(658\) | −19.6638 | + | 9.72621i | −0.766574 | + | 0.379167i | ||||
\(659\) | 4.98163 | + | 3.61936i | 0.194057 | + | 0.140990i | 0.680571 | − | 0.732682i | \(-0.261732\pi\) |
−0.486514 | + | 0.873673i | \(0.661732\pi\) | |||||||
\(660\) | 12.5539 | − | 10.4232i | 0.488662 | − | 0.405721i | ||||
\(661\) | 5.17818 | + | 49.2671i | 0.201408 | + | 1.91627i | 0.367260 | + | 0.930118i | \(0.380296\pi\) |
−0.165853 | + | 0.986151i | \(0.553038\pi\) | |||||||
\(662\) | 4.47428 | − | 1.99208i | 0.173898 | − | 0.0774242i | ||||
\(663\) | 4.16724 | − | 39.6486i | 0.161842 | − | 1.53982i | ||||
\(664\) | 37.1672 | − | 27.0036i | 1.44237 | − | 1.04794i | ||||
\(665\) | −14.1921 | − | 19.5194i | −0.550345 | − | 0.756928i | ||||
\(666\) | −0.464271 | − | 0.337313i | −0.0179901 | − | 0.0130706i | ||||
\(667\) | −7.20663 | + | 8.00378i | −0.279042 | + | 0.309907i | ||||
\(668\) | 3.07187 | − | 5.32063i | 0.118854 | − | 0.205861i | ||||
\(669\) | 1.26195 | + | 0.268235i | 0.0487897 | + | 0.0103706i | ||||
\(670\) | −32.6014 | + | 2.10929i | −1.25950 | + | 0.0814890i | ||||
\(671\) | −7.33185 | + | 22.5651i | −0.283043 | + | 0.871116i | ||||
\(672\) | −14.3340 | + | 17.2766i | −0.552947 | + | 0.666458i | ||||
\(673\) | −13.3822 | + | 9.72272i | −0.515845 | + | 0.374783i | −0.815036 | − | 0.579410i | \(-0.803283\pi\) |
0.299192 | + | 0.954193i | \(0.403283\pi\) | |||||||
\(674\) | −2.93144 | − | 5.07741i | −0.112915 | − | 0.195575i | ||||
\(675\) | 10.4222 | + | 21.9454i | 0.401150 | + | 0.844680i | ||||
\(676\) | 4.86390 | − | 8.42453i | 0.187073 | − | 0.324020i | ||||
\(677\) | −32.1872 | − | 14.3307i | −1.23706 | − | 0.550773i | −0.319200 | − | 0.947687i | \(-0.603414\pi\) |
−0.917855 | + | 0.396915i | \(0.870081\pi\) | |||||||
\(678\) | −1.74597 | + | 5.37353i | −0.0670534 | + | 0.206369i | ||||
\(679\) | 9.18013 | + | 24.7929i | 0.352301 | + | 0.951465i | ||||
\(680\) | −21.7667 | − | 21.2399i | −0.834717 | − | 0.814513i | ||||
\(681\) | −25.6738 | + | 28.5136i | −0.983821 | + | 1.09264i | ||||
\(682\) | 12.4319 | − | 21.5327i | 0.476043 | − | 0.824530i | ||||
\(683\) | 10.3506 | + | 2.20009i | 0.396055 | + | 0.0841841i | 0.401634 | − | 0.915800i | \(-0.368442\pi\) |
−0.00557883 | + | 0.999984i | \(0.501776\pi\) | |||||||
\(684\) | −0.131909 | + | 1.25503i | −0.00504365 | + | 0.0479871i | ||||
\(685\) | −6.34370 | + | 12.8365i | −0.242380 | + | 0.490459i | ||||
\(686\) | 0.323001 | + | 19.3861i | 0.0123322 | + | 0.740166i | ||||
\(687\) | −35.7303 | − | 25.9596i | −1.36320 | − | 0.990420i | ||||
\(688\) | 0.309882 | − | 2.94833i | 0.0118141 | − | 0.112404i | ||||
\(689\) | 0.321439 | + | 3.05828i | 0.0122458 | + | 0.116511i | ||||
\(690\) | −9.10490 | − | 13.6513i | −0.346618 | − | 0.519695i | ||||
\(691\) | −3.32799 | + | 31.6637i | −0.126603 | + | 1.20455i | 0.728116 | + | 0.685454i | \(0.240396\pi\) |
−0.854719 | + | 0.519091i | \(0.826270\pi\) | |||||||
\(692\) | 0.401625 | + | 1.23607i | 0.0152675 | + | 0.0469885i | ||||
\(693\) | −3.13645 | + | 2.47864i | −0.119144 | + | 0.0941557i | ||||
\(694\) | 9.87848 | + | 30.4028i | 0.374982 | + | 1.15408i | ||||
\(695\) | −4.92729 | + | 19.3331i | −0.186903 | + | 0.733347i | ||||
\(696\) | −10.4466 | − | 11.6021i | −0.395976 | − | 0.439776i | ||||
\(697\) | −17.8646 | − | 19.8406i | −0.676669 | − | 0.751518i | ||||
\(698\) | −17.2707 | − | 7.68943i | −0.653707 | − | 0.291049i | ||||
\(699\) | −22.7626 | −0.860959 | ||||||||
\(700\) | 4.14467 | − | 11.2176i | 0.156654 | − | 0.423987i | ||||
\(701\) | 24.6571 | 0.931287 | 0.465643 | − | 0.884972i | \(-0.345823\pi\) | ||||
0.465643 | + | 0.884972i | \(0.345823\pi\) | |||||||
\(702\) | −22.6518 | − | 10.0853i | −0.854939 | − | 0.380643i | ||||
\(703\) | −4.37240 | − | 4.85605i | −0.164908 | − | 0.183149i | ||||
\(704\) | 22.4786 | + | 24.9651i | 0.847196 | + | 0.940906i | ||||
\(705\) | −32.3096 | + | 2.09042i | −1.21685 | + | 0.0787296i | ||||
\(706\) | −9.46125 | − | 29.1187i | −0.356079 | − | 1.09590i | ||||
\(707\) | −2.06881 | − | 14.1497i | −0.0778055 | − | 0.532155i | ||||
\(708\) | 2.45530 | + | 7.55663i | 0.0922758 | + | 0.283996i | ||||
\(709\) | 5.36498 | − | 51.0444i | 0.201486 | − | 1.91701i | −0.164475 | − | 0.986381i | \(-0.552593\pi\) |
0.365961 | − | 0.930630i | \(-0.380740\pi\) | |||||||
\(710\) | 0.571793 | − | 14.2479i | 0.0214590 | − | 0.534713i | ||||
\(711\) | 0.399226 | + | 3.79839i | 0.0149722 | + | 0.142451i | ||||
\(712\) | 0.270176 | − | 2.57056i | 0.0101253 | − | 0.0963357i | ||||
\(713\) | 16.6851 | + | 12.1225i | 0.624863 | + | 0.453989i | ||||
\(714\) | 15.8267 | + | 16.2080i | 0.592301 | + | 0.606568i | ||||
\(715\) | −8.11033 | − | 47.4382i | −0.303309 | − | 1.77409i | ||||
\(716\) | 0.231639 | − | 2.20390i | 0.00865677 | − | 0.0823636i | ||||
\(717\) | 2.69783 | + | 0.573442i | 0.100752 | + | 0.0214156i | ||||
\(718\) | 4.36395 | − | 7.55858i | 0.162861 | − | 0.282084i | ||||
\(719\) | 21.2218 | − | 23.5692i | 0.791440 | − | 0.878983i | −0.203539 | − | 0.979067i | \(-0.565244\pi\) |
0.994979 | + | 0.100083i | \(0.0319110\pi\) | |||||||
\(720\) | 0.931384 | − | 0.489026i | 0.0347106 | − | 0.0182249i | ||||
\(721\) | 12.8197 | − | 15.4513i | 0.477429 | − | 0.575437i | ||||
\(722\) | −0.763296 | + | 2.34918i | −0.0284069 | + | 0.0874275i | ||||
\(723\) | 14.2062 | + | 6.32500i | 0.528333 | + | 0.235229i | ||||
\(724\) | −4.44610 | + | 7.70088i | −0.165238 | + | 0.286201i | ||||
\(725\) | 12.3315 | + | 6.72232i | 0.457980 | + | 0.249661i | ||||
\(726\) | 8.12992 | + | 14.0814i | 0.301730 | + | 0.522611i | ||||
\(727\) | −31.6712 | + | 23.0105i | −1.17462 | + | 0.853411i | −0.991555 | − | 0.129689i | \(-0.958602\pi\) |
−0.183065 | + | 0.983101i | \(0.558602\pi\) | |||||||
\(728\) | 13.6145 | + | 36.7690i | 0.504588 | + | 1.36275i | ||||
\(729\) | 7.18700 | − | 22.1193i | 0.266185 | − | 0.819234i | ||||
\(730\) | 10.2205 | + | 25.6806i | 0.378279 | + | 0.950483i | ||||
\(731\) | 9.43631 | + | 2.00575i | 0.349015 | + | 0.0741854i | ||||
\(732\) | 4.44037 | − | 7.69094i | 0.164121 | − | 0.284265i | ||||
\(733\) | 13.4913 | − | 14.9836i | 0.498313 | − | 0.553433i | −0.440548 | − | 0.897729i | \(-0.645216\pi\) |
0.938861 | + | 0.344296i | \(0.111882\pi\) | |||||||
\(734\) | 0.985637 | + | 0.716107i | 0.0363805 | + | 0.0264320i | ||||
\(735\) | −10.5627 | + | 26.5945i | −0.389611 | + | 0.980954i | ||||
\(736\) | −14.3966 | + | 10.4597i | −0.530666 | + | 0.385551i | ||||
\(737\) | −6.44105 | + | 61.2825i | −0.237259 | + | 2.25737i | ||||
\(738\) | 1.95315 | − | 0.869597i | 0.0718963 | − | 0.0320103i | ||||
\(739\) | 5.03258 | + | 47.8818i | 0.185127 | + | 1.76136i | 0.554597 | + | 0.832119i | \(0.312872\pi\) |
−0.369470 | + | 0.929243i | \(0.620461\pi\) | |||||||
\(740\) | 0.799688 | − | 3.13772i | 0.0293971 | − | 0.115345i | ||||
\(741\) | 29.4096 | + | 21.3673i | 1.08039 | + | 0.784948i | ||||
\(742\) | −1.45404 | − | 0.969061i | −0.0533797 | − | 0.0355753i | ||||
\(743\) | 14.7190 | 0.539986 | 0.269993 | − | 0.962862i | \(-0.412979\pi\) | ||||
0.269993 | + | 0.962862i | \(0.412979\pi\) | |||||||
\(744\) | −20.0043 | + | 22.2171i | −0.733394 | + | 0.814517i | ||||
\(745\) | 46.9676 | + | 17.3721i | 1.72076 | + | 0.636466i | ||||
\(746\) | −26.8639 | − | 29.8353i | −0.983556 | − | 1.09235i | ||||
\(747\) | −5.05812 | + | 1.07514i | −0.185067 | + | 0.0393372i | ||||
\(748\) | −14.4465 | + | 10.4960i | −0.528216 | + | 0.383772i | ||||
\(749\) | 24.5349 | + | 9.75462i | 0.896487 | + | 0.356426i | ||||
\(750\) | −14.5646 | + | 15.6765i | −0.531826 | + | 0.572424i | ||||
\(751\) | −13.0359 | − | 22.5789i | −0.475688 | − | 0.823916i | 0.523924 | − | 0.851765i | \(-0.324468\pi\) |
−0.999612 | + | 0.0278487i | \(0.991134\pi\) | |||||||
\(752\) | −1.13816 | − | 10.8289i | −0.0415044 | − | 0.394888i | ||||
\(753\) | 1.40512 | + | 1.56055i | 0.0512056 | + | 0.0568696i | ||||
\(754\) | −14.0212 | + | 2.98029i | −0.510621 | + | 0.108536i | ||||
\(755\) | −7.68814 | − | 44.9688i | −0.279800 | − | 1.63658i | ||||
\(756\) | −10.4168 | + | 5.15240i | −0.378854 | + | 0.187391i | ||||
\(757\) | −33.2677 | −1.20913 | −0.604567 | − | 0.796554i | \(-0.706654\pi\) | ||||
−0.604567 | + | 0.796554i | \(0.706654\pi\) | |||||||
\(758\) | 3.61034 | − | 4.00969i | 0.131133 | − | 0.145639i | ||||
\(759\) | −28.2743 | + | 12.5885i | −1.02629 | + | 0.456935i | ||||
\(760\) | 26.6965 | − | 7.50497i | 0.968384 | − | 0.272234i | ||||
\(761\) | −8.83953 | − | 3.93561i | −0.320433 | − | 0.142666i | 0.240216 | − | 0.970719i | \(-0.422782\pi\) |
−0.560649 | + | 0.828054i | \(0.689448\pi\) | |||||||
\(762\) | 30.3989 | + | 22.0861i | 1.10124 | + | 0.800094i | ||||
\(763\) | 5.55170 | − | 10.5826i | 0.200985 | − | 0.383115i | ||||
\(764\) | 15.7203 | − | 11.4215i | 0.568741 | − | 0.413214i | ||||
\(765\) | 1.26583 | + | 3.18059i | 0.0457662 | + | 0.114995i | ||||
\(766\) | −8.94947 | + | 3.98456i | −0.323358 | + | 0.143968i | ||||
\(767\) | 22.9230 | + | 4.87242i | 0.827700 | + | 0.175933i | ||||
\(768\) | −15.1698 | − | 26.2748i | −0.547392 | − | 0.948112i | ||||
\(769\) | −5.91953 | − | 18.2184i | −0.213464 | − | 0.656974i | −0.999259 | − | 0.0384873i | \(-0.987746\pi\) |
0.785795 | − | 0.618487i | \(-0.212254\pi\) | |||||||
\(770\) | 23.6878 | + | 13.6651i | 0.853650 | + | 0.492458i | ||||
\(771\) | 1.96578 | − | 6.05005i | 0.0707958 | − | 0.217887i | ||||
\(772\) | 1.28138 | − | 0.272366i | 0.0461180 | − | 0.00980268i | ||||
\(773\) | −0.264888 | − | 2.52024i | −0.00952735 | − | 0.0906466i | 0.988725 | − | 0.149743i | \(-0.0478447\pi\) |
−0.998252 | + | 0.0590965i | \(0.981178\pi\) | |||||||
\(774\) | −0.386270 | + | 0.669039i | −0.0138842 | + | 0.0240481i | ||||
\(775\) | 10.3339 | − | 24.8300i | 0.371203 | − | 0.891921i | ||||
\(776\) | −30.3795 | −1.09056 | ||||||||
\(777\) | −2.09425 | + | 7.45962i | −0.0751308 | + | 0.267612i | ||||
\(778\) | 11.6491 | − | 35.8521i | 0.417639 | − | 1.28536i | ||||
\(779\) | 23.8125 | − | 5.06149i | 0.853170 | − | 0.181347i | ||||
\(780\) | −0.722341 | + | 17.9992i | −0.0258639 | + | 0.644474i | ||||
\(781\) | −26.3077 | − | 5.59187i | −0.941363 | − | 0.200093i | ||||
\(782\) | 8.97880 | + | 15.5517i | 0.321081 | + | 0.556129i | ||||
\(783\) | −4.21760 | − | 12.9804i | −0.150725 | − | 0.463883i | ||||
\(784\) | −9.07903 | − | 3.19076i | −0.324251 | − | 0.113956i | ||||
\(785\) | 4.55842 | + | 26.6627i | 0.162697 | + | 0.951632i | ||||
\(786\) | 22.6276 | + | 10.0745i | 0.807100 | + | 0.359344i | ||||
\(787\) | 1.37690 | − | 0.613034i | 0.0490811 | − | 0.0218523i | −0.382049 | − | 0.924142i | \(-0.624782\pi\) |
0.431130 | + | 0.902290i | \(0.358115\pi\) | |||||||
\(788\) | 18.0188 | − | 8.02250i | 0.641894 | − | 0.285790i | ||||
\(789\) | −39.5006 | − | 17.5868i | −1.40626 | − | 0.626106i | ||||
\(790\) | 23.1323 | − | 12.1457i | 0.823011 | − | 0.432124i | ||||
\(791\) | 7.80415 | − | 0.315927i | 0.277484 | − | 0.0112331i | ||||
\(792\) | −1.41951 | − | 4.36879i | −0.0504399 | − | 0.155238i | ||||
\(793\) | −13.0967 | − | 22.6842i | −0.465079 | − | 0.805540i | ||||
\(794\) | −12.8465 | − | 2.73060i | −0.455904 | − | 0.0969055i | ||||
\(795\) | −1.43096 | − | 2.14548i | −0.0507508 | − | 0.0760923i | ||||
\(796\) | 16.3661 | − | 3.47873i | 0.580082 | − | 0.123300i | ||||
\(797\) | −3.47478 | + | 10.6943i | −0.123083 | + | 0.378810i | −0.993547 | − | 0.113422i | \(-0.963819\pi\) |
0.870464 | + | 0.492232i | \(0.163819\pi\) | |||||||
\(798\) | −20.0147 | + | 5.10846i | −0.708514 | + | 0.180837i | ||||
\(799\) | 35.4327 | 1.25352 | ||||||||
\(800\) | 17.6204 | + | 15.1006i | 0.622976 | + | 0.533885i | ||||
\(801\) | −0.145467 | + | 0.251957i | −0.00513984 | + | 0.00890246i | ||||
\(802\) | −1.02301 | − | 9.73326i | −0.0361236 | − | 0.343693i | ||||
\(803\) | 50.9938 | − | 10.8391i | 1.79953 | − | 0.382502i | ||||
\(804\) | 7.12725 | − | 21.9354i | 0.251359 | − | 0.773603i | ||||
\(805\) | −13.3266 | + | 18.3560i | −0.469702 | + | 0.646965i | ||||
\(806\) | 8.48228 | + | 26.1058i | 0.298775 | + | 0.919536i | ||||
\(807\) | 10.6062 | + | 18.3704i | 0.373355 | + | 0.646670i | ||||
\(808\) | 16.0731 | + | 3.41643i | 0.565448 | + | 0.120190i | ||||
\(809\) | −19.5408 | + | 8.70011i | −0.687017 | + | 0.305880i | −0.720396 | − | 0.693563i | \(-0.756040\pi\) |
0.0333789 | + | 0.999443i | \(0.489373\pi\) | |||||||
\(810\) | 23.1491 | − | 1.49774i | 0.813377 | − | 0.0526251i | ||||
\(811\) | −40.7487 | + | 29.6057i | −1.43088 | + | 1.03960i | −0.441030 | + | 0.897493i | \(0.645387\pi\) |
−0.989852 | + | 0.142104i | \(0.954613\pi\) | |||||||
\(812\) | −3.12109 | + | 5.94939i | −0.109529 | + | 0.208783i | ||||
\(813\) | −10.2698 | − | 7.46143i | −0.360177 | − | 0.261684i | ||||
\(814\) | 6.76439 | + | 3.01170i | 0.237092 | + | 0.105560i | ||||
\(815\) | −4.30197 | − | 6.45008i | −0.150691 | − | 0.225936i | ||||
\(816\) | −10.2717 | + | 4.57327i | −0.359582 | + | 0.160096i | ||||
\(817\) | −5.88609 | + | 6.53716i | −0.205928 | + | 0.228706i | ||||
\(818\) | 0.148406 | 0.00518890 | ||||||||
\(819\) | 0.283403 | − | 4.40420i | 0.00990291 | − | 0.153895i | ||||
\(820\) | 8.63398 | + | 8.42500i | 0.301512 | + | 0.294214i | ||||
\(821\) | 38.5803 | − | 8.20049i | 1.34646 | − | 0.286199i | 0.522400 | − | 0.852701i | \(-0.325037\pi\) |
0.824061 | + | 0.566502i | \(0.191704\pi\) | |||||||
\(822\) | 8.20057 | + | 9.10766i | 0.286028 | + | 0.317666i | ||||
\(823\) | −3.17473 | − | 30.2055i | −0.110664 | − | 1.05290i | −0.899088 | − | 0.437767i | \(-0.855769\pi\) |
0.788424 | − | 0.615132i | \(-0.210897\pi\) | |||||||
\(824\) | 11.5351 | + | 19.9794i | 0.401845 | + | 0.696016i | ||||
\(825\) | 24.5160 | + | 32.0613i | 0.853537 | + | 1.11623i | ||||
\(826\) | −10.4478 | + | 8.25659i | −0.363527 | + | 0.287283i | ||||
\(827\) | 37.5040 | − | 27.2483i | 1.30414 | − | 0.947515i | 0.304155 | − | 0.952622i | \(-0.401626\pi\) |
0.999987 | + | 0.00510770i | \(0.00162584\pi\) | |||||||
\(828\) | 1.16021 | − | 0.246610i | 0.0403200 | − | 0.00857028i | ||||
\(829\) | −21.6364 | − | 24.0297i | −0.751464 | − | 0.834586i | 0.239191 | − | 0.970972i | \(-0.423118\pi\) |
−0.990656 | + | 0.136387i | \(0.956451\pi\) | |||||||
\(830\) | 19.6283 | + | 29.4293i | 0.681308 | + | 1.02151i | ||||
\(831\) | −30.8327 | + | 34.2432i | −1.06957 | + | 1.18788i | ||||
\(832\) | −37.0870 | −1.28576 | ||||||||
\(833\) | 13.4145 | − | 28.2973i | 0.464786 | − | 0.980442i | ||||
\(834\) | 13.8153 | + | 10.0374i | 0.478386 | + | 0.347568i | ||||
\(835\) | 12.8454 | + | 8.11994i | 0.444533 | + | 0.281002i | ||||
\(836\) | −1.70199 | − | 16.1934i | −0.0588646 | − | 0.560059i | ||||
\(837\) | −23.8761 | + | 10.6303i | −0.825278 | + | 0.367438i | ||||
\(838\) | 0.954464 | − | 9.08112i | 0.0329714 | − | 0.313702i | ||||
\(839\) | −16.2585 | + | 11.8125i | −0.561306 | + | 0.407812i | −0.831937 | − | 0.554871i | \(-0.812768\pi\) |
0.270631 | + | 0.962683i | \(0.412768\pi\) | |||||||
\(840\) | −24.4434 | − | 21.9935i | −0.843379 | − | 0.758848i | ||||
\(841\) | 17.0782 | + | 12.4080i | 0.588903 | + | 0.427863i | ||||
\(842\) | 13.0929 | − | 14.5411i | 0.451211 | − | 0.501120i | ||||
\(843\) | 17.9234 | − | 31.0443i | 0.617316 | − | 1.06922i | ||||
\(844\) | −10.2003 | − | 2.16814i | −0.351109 | − | 0.0746305i | ||||
\(845\) | 20.3390 | + | 12.8569i | 0.699684 | + | 0.442290i | ||||
\(846\) | −0.876818 | + | 2.69857i | −0.0301456 | + | 0.0927786i | ||||
\(847\) | 14.3523 | − | 17.2986i | 0.493150 | − | 0.594386i | ||||
\(848\) | 0.701651 | − | 0.509779i | 0.0240948 | − | 0.0175059i | ||||
\(849\) | −0.734655 | − | 1.27246i | −0.0252133 | − | 0.0436707i | ||||
\(850\) | 17.0135 | − | 16.0910i | 0.583560 | − | 0.551916i | ||||
\(851\) | −3.07095 | + | 5.31903i | −0.105271 | + | 0.182334i | ||||
\(852\) | 9.19658 | + | 4.09458i | 0.315070 | + | 0.140278i | ||||
\(853\) | −2.40521 | + | 7.40247i | −0.0823528 | + | 0.253456i | −0.983752 | − | 0.179533i | \(-0.942541\pi\) |
0.901399 | + | 0.432989i | \(0.142541\pi\) | |||||||
\(854\) | 14.6719 | + | 2.50312i | 0.502062 | + | 0.0856550i | ||||
\(855\) | −3.08875 | − | 0.450498i | −0.105633 | − | 0.0154067i | ||||
\(856\) | −20.3009 | + | 22.5465i | −0.693872 | + | 0.770623i | ||||
\(857\) | −17.7668 | + | 30.7730i | −0.606902 | + | 1.05119i | 0.384846 | + | 0.922981i | \(0.374255\pi\) |
−0.991748 | + | 0.128204i | \(0.959079\pi\) | |||||||
\(858\) | −40.2925 | − | 8.56444i | −1.37556 | − | 0.292385i | ||||
\(859\) | −1.96258 | + | 18.6727i | −0.0669623 | + | 0.637104i | 0.908643 | + | 0.417573i | \(0.137119\pi\) |
−0.975606 | + | 0.219530i | \(0.929547\pi\) | |||||||
\(860\) | −4.31336 | − | 0.629109i | −0.147084 | − | 0.0214524i | ||||
\(861\) | −20.1668 | − | 20.6525i | −0.687281 | − | 0.703836i | ||||
\(862\) | −7.36254 | − | 5.34920i | −0.250769 | − | 0.182194i | ||||
\(863\) | 0.551081 | − | 5.24319i | 0.0187590 | − | 0.178480i | −0.981130 | − | 0.193347i | \(-0.938066\pi\) |
0.999889 | + | 0.0148667i | \(0.00473240\pi\) | |||||||
\(864\) | −2.35721 | − | 22.4273i | −0.0801939 | − | 0.762994i | ||||
\(865\) | −3.09483 | + | 0.870024i | −0.105227 | + | 0.0295817i | ||||
\(866\) | 1.95616 | − | 18.6116i | 0.0664731 | − | 0.632449i | ||||
\(867\) | −1.70269 | − | 5.24035i | −0.0578264 | − | 0.177971i | ||||
\(868\) | 11.9549 | + | 4.75304i | 0.405776 | + | 0.161329i | ||||
\(869\) | −15.2283 | − | 46.8679i | −0.516585 | − | 1.58988i | ||||
\(870\) | 9.24892 | − | 7.67910i | 0.313568 | − | 0.260346i | ||||
\(871\) | −45.5192 | − | 50.5542i | −1.54236 | − | 1.71296i | ||||
\(872\) | 9.18855 | + | 10.2049i | 0.311163 | + | 0.345582i | ||||
\(873\) | 3.12387 | + | 1.39084i | 0.105727 | + | 0.0470727i | ||||
\(874\) | −16.3744 | −0.553873 | ||||||||
\(875\) | 27.3136 | + | 11.3563i | 0.923369 | + | 0.383913i | ||||
\(876\) | −19.5133 | −0.659293 | ||||||||
\(877\) | −29.5351 | − | 13.1499i | −0.997331 | − | 0.444040i | −0.157869 | − | 0.987460i | \(-0.550463\pi\) |
−0.839461 | + | 0.543420i | \(0.817129\pi\) | |||||||
\(878\) | −2.34306 | − | 2.60223i | −0.0790744 | − | 0.0878210i | ||||
\(879\) | 14.5725 | + | 16.1843i | 0.491517 | + | 0.545884i | ||||
\(880\) | −10.4430 | + | 8.67049i | −0.352033 | + | 0.292282i | ||||
\(881\) | −9.20115 | − | 28.3182i | −0.309995 | − | 0.954065i | −0.977766 | − | 0.209699i | \(-0.932752\pi\) |
0.667771 | − | 0.744366i | \(-0.267248\pi\) | |||||||
\(882\) | 1.82317 | + | 1.72190i | 0.0613894 | + | 0.0579793i | ||||
\(883\) | 9.41687 | + | 28.9822i | 0.316903 | + | 0.975327i | 0.974964 | + | 0.222363i | \(0.0713769\pi\) |
−0.658061 | + | 0.752965i | \(0.728623\pi\) | |||||||
\(884\) | 2.06064 | − | 19.6057i | 0.0693068 | − | 0.659410i | ||||
\(885\) | −18.9200 | + | 5.31882i | −0.635988 | + | 0.178790i | ||||
\(886\) | 1.20586 | + | 11.4730i | 0.0405115 | + | 0.385441i | ||||
\(887\) | 5.58566 | − | 53.1440i | 0.187548 | − | 1.78440i | −0.345604 | − | 0.938381i | \(-0.612326\pi\) |
0.533152 | − | 0.846020i | \(-0.321008\pi\) | |||||||
\(888\) | −7.20279 | − | 5.23313i | −0.241710 | − | 0.175613i | ||||
\(889\) | 14.0400 | − | 50.0097i | 0.470885 | − | 1.67727i | ||||
\(890\) | 1.96938 | + | 0.287237i | 0.0660138 | + | 0.00962820i | ||||
\(891\) | 4.57357 | − | 43.5146i | 0.153220 | − | 1.45779i | ||||
\(892\) | 0.624015 | + | 0.132638i | 0.0208936 | + | 0.00444106i | ||||
\(893\) | −16.1544 | + | 27.9803i | −0.540588 | + | 0.936326i | ||||
\(894\) | 28.6807 | − | 31.8531i | 0.959224 | − | 1.06533i | ||||
\(895\) | 5.42403 | + | 0.791101i | 0.181305 | + | 0.0264436i | ||||
\(896\) | −2.22511 | + | 2.68189i | −0.0743358 | + | 0.0895957i | ||||
\(897\) | 10.5586 | − | 32.4960i | 0.352541 | − | 1.08501i | ||||
\(898\) | −17.4836 | − | 7.78420i | −0.583435 | − | 0.259762i | ||||
\(899\) | −7.55456 | + | 13.0849i | −0.251959 | + | 0.436405i | ||||
\(900\) | −0.663552 | − | 1.39721i | −0.0221184 | − | 0.0465735i | ||||
\(901\) | 1.41114 | + | 2.44416i | 0.0470118 | + | 0.0814268i | ||||
\(902\) | −22.3175 | + | 16.2146i | −0.743093 | + | 0.539889i | ||||
\(903\) | 10.2817 | + | 1.75413i | 0.342155 | + | 0.0583739i | ||||
\(904\) | −2.77342 | + | 8.53572i | −0.0922427 | + | 0.283894i | ||||
\(905\) | −18.5919 | − | 11.7525i | −0.618017 | − | 0.390666i | ||||
\(906\) | −38.1951 | − | 8.11862i | −1.26895 | − | 0.269723i | ||||
\(907\) | 21.0116 | − | 36.3932i | 0.697680 | − | 1.20842i | −0.271589 | − | 0.962413i | \(-0.587549\pi\) |
0.969269 | − | 0.246004i | \(-0.0791175\pi\) | |||||||
\(908\) | −12.6953 | + | 14.0996i | −0.421309 | + | 0.467911i | ||||
\(909\) | −1.49635 | − | 1.08716i | −0.0496309 | − | 0.0360590i | ||||
\(910\) | −28.7095 | + | 9.33939i | −0.951712 | + | 0.309598i | ||||
\(911\) | 32.8213 | − | 23.8460i | 1.08742 | − | 0.790055i | 0.108456 | − | 0.994101i | \(-0.465409\pi\) |
0.978961 | + | 0.204047i | \(0.0654094\pi\) | |||||||
\(912\) | 1.07168 | − | 10.1964i | 0.0354869 | − | 0.337635i | ||||
\(913\) | 60.9536 | − | 27.1383i | 2.01727 | − | 0.898146i | ||||
\(914\) | 3.00615 | + | 28.6016i | 0.0994346 | + | 0.946057i | ||||
\(915\) | 18.5680 | + | 11.7373i | 0.613838 | + | 0.388024i | ||||
\(916\) | −17.6681 | − | 12.8366i | −0.583771 | − | 0.424135i | ||||
\(917\) | 2.19876 | − | 34.1695i | 0.0726093 | − | 1.12838i | ||||
\(918\) | −22.7567 | −0.751083 | ||||||||
\(919\) | 7.19263 | − | 7.98823i | 0.237263 | − | 0.263507i | −0.612741 | − | 0.790284i | \(-0.709933\pi\) |
0.850004 | + | 0.526777i | \(0.176600\pi\) | |||||||
\(920\) | −14.4629 | − | 21.6847i | −0.476828 | − | 0.714924i | ||||
\(921\) | −15.0058 | − | 16.6656i | −0.494457 | − | 0.549150i | ||||
\(922\) | 9.27951 | − | 1.97242i | 0.305604 | − | 0.0649582i | ||||
\(923\) | 24.0214 | − | 17.4525i | 0.790673 | − | 0.574458i | ||||
\(924\) | −15.1475 | + | 11.9706i | −0.498316 | + | 0.393803i | ||||
\(925\) | 7.67565 | + | 2.28767i | 0.252374 | + | 0.0752182i | ||||
\(926\) | −1.98560 | − | 3.43915i | −0.0652507 | − | 0.113018i | ||||
\(927\) | −0.271437 | − | 2.58255i | −0.00891516 | − | 0.0848221i | ||||
\(928\) | −8.72330 | − | 9.68820i | −0.286356 | − | 0.318031i | ||||
\(929\) | 5.98693 | − | 1.27256i | 0.196425 | − | 0.0417514i | −0.108649 | − | 0.994080i | \(-0.534652\pi\) |
0.305073 | + | 0.952329i | \(0.401319\pi\) | |||||||
\(930\) | −16.4756 | − | 16.0768i | −0.540256 | − | 0.527180i | ||||
\(931\) | 16.2297 | + | 23.4944i | 0.531907 | + | 0.769997i | ||||
\(932\) | −11.2558 | −0.368695 | ||||||||
\(933\) | −29.1259 | + | 32.3476i | −0.953539 | + | 1.05901i | ||||
\(934\) | 8.64515 | − | 3.84907i | 0.282878 | − | 0.125945i | ||||
\(935\) | −24.5082 | − | 36.7460i | −0.801505 | − | 1.20172i | ||||
\(936\) | 4.63284 | + | 2.06267i | 0.151429 | + | 0.0674205i | ||||
\(937\) | 46.0563 | + | 33.4619i | 1.50459 | + | 1.09315i | 0.968506 | + | 0.248991i | \(0.0800989\pi\) |
0.536089 | + | 0.844161i | \(0.319901\pi\) | |||||||
\(938\) | 38.6235 | − | 1.56355i | 1.26110 | − | 0.0510519i | ||||
\(939\) | 16.6430 | − | 12.0919i | 0.543125 | − | 0.394604i | ||||
\(940\) | −15.9767 | + | 1.03368i | −0.521101 | + | 0.0337149i | ||||
\(941\) | 36.6437 | − | 16.3148i | 1.19455 | − | 0.531848i | 0.289510 | − | 0.957175i | \(-0.406508\pi\) |
0.905040 | + | 0.425327i | \(0.139841\pi\) | |||||||
\(942\) | 22.6465 | + | 4.81365i | 0.737862 | + | 0.156837i | ||||
\(943\) | −11.4410 | − | 19.8163i | −0.372569 | − | 0.645308i | ||||
\(944\) | −2.04244 | − | 6.28597i | −0.0664756 | − | 0.204591i | ||||
\(945\) | −11.7011 | − | 26.2564i | −0.380636 | − | 0.854120i | ||||
\(946\) | 3.08026 | − | 9.48006i | 0.100148 | − | 0.308223i | ||||
\(947\) | −26.1702 | + | 5.56265i | −0.850418 | + | 0.180762i | −0.612448 | − | 0.790511i | \(-0.709815\pi\) |
−0.237969 | + | 0.971273i | \(0.576482\pi\) | |||||||
\(948\) | 1.92806 | + | 18.3443i | 0.0626206 | + | 0.595795i | ||||
\(949\) | −28.7770 | + | 49.8431i | −0.934139 | + | 1.61798i | ||||
\(950\) | 4.94985 | + | 20.7714i | 0.160594 | + | 0.673912i | ||||
\(951\) | −18.6637 | −0.605212 | ||||||||
\(952\) | 25.1404 | + | 25.7460i | 0.814805 | + | 0.834432i | ||||
\(953\) | −8.08874 | + | 24.8946i | −0.262020 | + | 0.806414i | 0.730345 | + | 0.683078i | \(0.239359\pi\) |
−0.992365 | + | 0.123336i | \(0.960641\pi\) | |||||||
\(954\) | −0.221068 | + | 0.0469895i | −0.00715735 | + | 0.00152134i | ||||
\(955\) | 26.6692 | + | 39.9860i | 0.862996 | + | 1.29392i | ||||
\(956\) | 1.33404 | + | 0.283559i | 0.0431459 | + | 0.00917095i | ||||
\(957\) | −11.3370 | − | 19.6363i | −0.366474 | − | 0.634752i | ||||
\(958\) | −1.10822 | − | 3.41074i | −0.0358048 | − | 0.110196i | ||||
\(959\) | 7.87053 | − | 15.0027i | 0.254153 | − | 0.484463i | ||||
\(960\) | 27.5373 | − | 14.4585i | 0.888762 | − | 0.466647i | ||||
\(961\) | −1.88853 | − | 0.840826i | −0.0609202 | − | 0.0271234i | ||||
\(962\) | −7.46776 | + | 3.32486i | −0.240770 | + | 0.107198i | ||||
\(963\) | 3.11974 | − | 1.38900i | 0.100532 | − | 0.0447598i | ||||
\(964\) | 7.02475 | + | 3.12762i | 0.226252 | + | 0.100734i | ||||
\(965\) | 0.546064 | + | 3.19399i | 0.0175784 | + | 0.102818i | ||||
\(966\) | 10.3799 | + | 16.4078i | 0.333967 | + | 0.527913i | ||||
\(967\) | 13.1044 | + | 40.3311i | 0.421408 | + | 1.29696i | 0.906392 | + | 0.422437i | \(0.138825\pi\) |
−0.484984 | + | 0.874523i | \(0.661175\pi\) | |||||||
\(968\) | 12.9142 | + | 22.3680i | 0.415077 | + | 0.718935i | ||||
\(969\) | 32.6341 | + | 6.93659i | 1.04836 | + | 0.222835i | ||||
\(970\) | 0.938011 | − | 23.3732i | 0.0301177 | − | 0.750469i | ||||
\(971\) | −5.15748 | + | 1.09626i | −0.165511 | + | 0.0351805i | −0.289922 | − | 0.957050i | \(-0.593629\pi\) |
0.124411 | + | 0.992231i | \(0.460296\pi\) | |||||||
\(972\) | −0.988782 | + | 3.04316i | −0.0317152 | + | 0.0976093i | ||||
\(973\) | 6.38072 | − | 22.7278i | 0.204556 | − | 0.728620i | ||||
\(974\) | 3.22664 | 0.103388 | ||||||||
\(975\) | −44.4138 | − | 3.57057i | −1.42238 | − | 0.114350i | ||||
\(976\) | −3.69371 | + | 6.39769i | −0.118233 | + | 0.204785i | ||||
\(977\) | −2.78940 | − | 26.5394i | −0.0892408 | − | 0.849069i | −0.943978 | − | 0.330008i | \(-0.892948\pi\) |
0.854737 | − | 0.519061i | \(-0.173718\pi\) | |||||||
\(978\) | −6.49105 | + | 1.37972i | −0.207561 | + | 0.0441185i | ||||
\(979\) | 1.16001 | − | 3.57015i | 0.0370741 | − | 0.114102i | ||||
\(980\) | −5.22311 | + | 13.1506i | −0.166846 | + | 0.420081i | ||||
\(981\) | −0.477640 | − | 1.47003i | −0.0152499 | − | 0.0469343i | ||||
\(982\) | −12.0655 | − | 20.8981i | −0.385027 | − | 0.666886i | ||||
\(983\) | −29.7187 | − | 6.31690i | −0.947879 | − | 0.201478i | −0.292063 | − | 0.956399i | \(-0.594342\pi\) |
−0.655816 | + | 0.754921i | \(0.727675\pi\) | |||||||
\(984\) | 30.3015 | − | 13.4911i | 0.965976 | − | 0.430080i | ||||
\(985\) | 18.0406 | + | 45.3298i | 0.574821 | + | 1.44433i | ||||
\(986\) | −10.6432 | + | 7.73275i | −0.338949 | + | 0.246261i | ||||
\(987\) | 38.2779 | − | 1.54956i | 1.21840 | − | 0.0493232i | ||||
\(988\) | 14.5426 | + | 10.5658i | 0.462662 | + | 0.336144i | ||||
\(989\) | 7.55333 | + | 3.36296i | 0.240182 | + | 0.106936i | ||||
\(990\) | 3.40507 | − | 0.957240i | 0.108220 | − | 0.0304231i | ||||
\(991\) | −41.4835 | + | 18.4697i | −1.31777 | + | 0.586708i | −0.940625 | − | 0.339447i | \(-0.889760\pi\) |
−0.377143 | + | 0.926155i | \(0.623093\pi\) | |||||||
\(992\) | −16.7044 | + | 18.5521i | −0.530366 | + | 0.589031i | ||||
\(993\) | −8.55272 | −0.271412 | ||||||||
\(994\) | −1.08344 | + | 16.8370i | −0.0343646 | + | 0.534039i | ||||
\(995\) | 6.97447 | + | 40.7944i | 0.221105 | + | 1.29327i | ||||
\(996\) | −24.4282 | + | 5.19237i | −0.774037 | + | 0.164527i | ||||
\(997\) | −28.4945 | − | 31.6464i | −0.902430 | − | 1.00225i | −0.999975 | − | 0.00701923i | \(-0.997766\pi\) |
0.0975451 | − | 0.995231i | \(-0.468901\pi\) | |||||||
\(998\) | 2.23687 | + | 21.2824i | 0.0708068 | + | 0.673682i | ||||
\(999\) | −3.89165 | − | 6.74053i | −0.123126 | − | 0.213261i |
(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 | 175.2.q.a.11.13 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.u.b.74.12 | 288 | |||
5.3 | odd | 4 | 875.2.u.b.74.25 | 288 | |||
5.4 | even | 2 | 875.2.q.a.676.6 | 144 | |||
7.2 | even | 3 | inner | 175.2.q.a.86.6 | yes | 144 | |
25.9 | even | 10 | 875.2.q.a.326.13 | 144 | |||
25.12 | odd | 20 | 875.2.u.b.424.12 | 288 | |||
25.13 | odd | 20 | 875.2.u.b.424.25 | 288 | |||
25.16 | even | 5 | inner | 175.2.q.a.116.6 | yes | 144 | |
35.2 | odd | 12 | 875.2.u.b.324.25 | 288 | |||
35.9 | even | 6 | 875.2.q.a.51.13 | 144 | |||
35.23 | odd | 12 | 875.2.u.b.324.12 | 288 | |||
175.9 | even | 30 | 875.2.q.a.576.6 | 144 | |||
175.16 | even | 15 | inner | 175.2.q.a.16.13 | yes | 144 | |
175.37 | odd | 60 | 875.2.u.b.674.25 | 288 | |||
175.163 | odd | 60 | 875.2.u.b.674.12 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.q.a.11.13 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.q.a.16.13 | yes | 144 | 175.16 | even | 15 | inner | |
175.2.q.a.86.6 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.q.a.116.6 | yes | 144 | 25.16 | even | 5 | inner | |
875.2.q.a.51.13 | 144 | 35.9 | even | 6 | |||
875.2.q.a.326.13 | 144 | 25.9 | even | 10 | |||
875.2.q.a.576.6 | 144 | 175.9 | even | 30 | |||
875.2.q.a.676.6 | 144 | 5.4 | even | 2 | |||
875.2.u.b.74.12 | 288 | 5.2 | odd | 4 | |||
875.2.u.b.74.25 | 288 | 5.3 | odd | 4 | |||
875.2.u.b.324.12 | 288 | 35.23 | odd | 12 | |||
875.2.u.b.324.25 | 288 | 35.2 | odd | 12 | |||
875.2.u.b.424.12 | 288 | 25.12 | odd | 20 | |||
875.2.u.b.424.25 | 288 | 25.13 | odd | 20 | |||
875.2.u.b.674.12 | 288 | 175.163 | odd | 60 | |||
875.2.u.b.674.25 | 288 | 175.37 | odd | 60 |