Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 25.5 | ||
Character | \(\chi\) | \(=\) | 81.25 |
Dual form | 81.2.g.a.13.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{23}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.507233 | + | 0.254742i | −0.358668 | + | 0.180130i | −0.619003 | − | 0.785388i | \(-0.712463\pi\) |
0.260335 | + | 0.965518i | \(0.416167\pi\) | |||||||
\(3\) | 1.73070 | + | 0.0683184i | 0.999222 | + | 0.0394437i | ||||
\(4\) | −1.00193 | + | 1.34582i | −0.500963 | + | 0.672910i | ||||
\(5\) | −0.832798 | + | 2.78174i | −0.372439 | + | 1.24403i | 0.542368 | + | 0.840141i | \(0.317528\pi\) |
−0.914807 | + | 0.403891i | \(0.867657\pi\) | |||||||
\(6\) | −0.895274 | + | 0.406230i | −0.365494 | + | 0.165843i | ||||
\(7\) | 1.23966 | − | 2.87385i | 0.468546 | − | 1.08621i | −0.506103 | − | 0.862473i | \(-0.668914\pi\) |
0.974649 | − | 0.223739i | \(-0.0718263\pi\) | |||||||
\(8\) | 0.362501 | − | 2.05585i | 0.128164 | − | 0.726852i | ||||
\(9\) | 2.99067 | + | 0.236478i | 0.996888 | + | 0.0788259i | ||||
\(10\) | −0.286203 | − | 1.62314i | −0.0905055 | − | 0.513282i | ||||
\(11\) | −3.33963 | − | 0.791507i | −1.00694 | − | 0.238648i | −0.306122 | − | 0.951992i | \(-0.599032\pi\) |
−0.700814 | + | 0.713344i | \(0.747180\pi\) | |||||||
\(12\) | −1.82598 | + | 2.26076i | −0.527115 | + | 0.652626i | ||||
\(13\) | 3.33176 | − | 2.19133i | 0.924064 | − | 0.607766i | 0.00419461 | − | 0.999991i | \(-0.498665\pi\) |
0.919869 | + | 0.392225i | \(0.128294\pi\) | |||||||
\(14\) | 0.103295 | + | 1.77350i | 0.0276067 | + | 0.473989i | ||||
\(15\) | −1.63137 | + | 4.75747i | −0.421218 | + | 1.22837i | ||||
\(16\) | −0.622571 | − | 2.07953i | −0.155643 | − | 0.519883i | ||||
\(17\) | 0.878443 | + | 0.319727i | 0.213054 | + | 0.0775452i | 0.446342 | − | 0.894862i | \(-0.352726\pi\) |
−0.233289 | + | 0.972408i | \(0.574949\pi\) | |||||||
\(18\) | −1.57721 | + | 0.641899i | −0.371751 | + | 0.151297i | ||||
\(19\) | −4.55845 | + | 1.65914i | −1.04578 | + | 0.380633i | −0.807068 | − | 0.590458i | \(-0.798947\pi\) |
−0.238711 | + | 0.971091i | \(0.576725\pi\) | |||||||
\(20\) | −2.90932 | − | 3.90789i | −0.650543 | − | 0.873831i | ||||
\(21\) | 2.34181 | − | 4.88908i | 0.511026 | − | 1.06689i | ||||
\(22\) | 1.89560 | − | 0.449266i | 0.404144 | − | 0.0957838i | ||||
\(23\) | −2.43678 | − | 5.64910i | −0.508104 | − | 1.17792i | −0.958501 | − | 0.285089i | \(-0.907977\pi\) |
0.450397 | − | 0.892828i | \(-0.351283\pi\) | |||||||
\(24\) | 0.767834 | − | 3.53329i | 0.156733 | − | 0.721231i | ||||
\(25\) | −2.86709 | − | 1.88571i | −0.573417 | − | 0.377143i | ||||
\(26\) | −1.13175 | + | 1.96026i | −0.221955 | + | 0.384438i | ||||
\(27\) | 5.15980 | + | 0.613590i | 0.993003 | + | 0.118086i | ||||
\(28\) | 2.62564 | + | 4.54773i | 0.496198 | + | 0.859441i | ||||
\(29\) | −0.104644 | + | 1.79666i | −0.0194318 | + | 0.333631i | 0.974556 | + | 0.224143i | \(0.0719583\pi\) |
−0.993988 | + | 0.109488i | \(0.965079\pi\) | |||||||
\(30\) | −0.384443 | − | 2.82873i | −0.0701893 | − | 0.516452i | ||||
\(31\) | −0.671302 | − | 0.0784640i | −0.120569 | − | 0.0140925i | 0.0555942 | − | 0.998453i | \(-0.482295\pi\) |
−0.176164 | + | 0.984361i | \(0.556369\pi\) | |||||||
\(32\) | 3.71068 | + | 3.93309i | 0.655961 | + | 0.695278i | ||||
\(33\) | −5.72584 | − | 1.59802i | −0.996740 | − | 0.278180i | ||||
\(34\) | −0.527023 | + | 0.0616002i | −0.0903837 | + | 0.0105643i | ||||
\(35\) | 6.96191 | + | 5.84174i | 1.17678 | + | 0.987434i | ||||
\(36\) | −3.31468 | + | 3.78796i | −0.552447 | + | 0.631327i | ||||
\(37\) | −8.73079 | + | 7.32600i | −1.43533 | + | 1.20439i | −0.492858 | + | 0.870110i | \(0.664048\pi\) |
−0.942475 | + | 0.334277i | \(0.891508\pi\) | |||||||
\(38\) | 1.88954 | − | 2.00280i | 0.306524 | − | 0.324897i | ||||
\(39\) | 5.91600 | − | 3.56493i | 0.947317 | − | 0.570845i | ||||
\(40\) | 5.41694 | + | 2.72049i | 0.856494 | + | 0.430147i | ||||
\(41\) | 5.94501 | + | 2.98570i | 0.928455 | + | 0.466288i | 0.847718 | − | 0.530448i | \(-0.177976\pi\) |
0.0807376 | + | 0.996735i | \(0.474272\pi\) | |||||||
\(42\) | 0.0576097 | + | 3.07646i | 0.00888937 | + | 0.474709i | ||||
\(43\) | 1.53472 | − | 1.62671i | 0.234042 | − | 0.248071i | −0.599699 | − | 0.800226i | \(-0.704713\pi\) |
0.833741 | + | 0.552155i | \(0.186194\pi\) | |||||||
\(44\) | 4.41129 | − | 3.70151i | 0.665026 | − | 0.558023i | ||||
\(45\) | −3.14844 | + | 8.12232i | −0.469342 | + | 1.21080i | ||||
\(46\) | 2.67508 | + | 2.24466i | 0.394419 | + | 0.330957i | ||||
\(47\) | 3.14822 | − | 0.367974i | 0.459214 | − | 0.0536745i | 0.116659 | − | 0.993172i | \(-0.462782\pi\) |
0.342556 | + | 0.939498i | \(0.388707\pi\) | |||||||
\(48\) | −0.935415 | − | 3.64158i | −0.135016 | − | 0.525617i | ||||
\(49\) | −1.91856 | − | 2.03355i | −0.274080 | − | 0.290508i | ||||
\(50\) | 1.93465 | + | 0.226128i | 0.273601 | + | 0.0319794i | ||||
\(51\) | 1.49848 | + | 0.613366i | 0.209829 | + | 0.0858884i | ||||
\(52\) | −0.389036 | + | 6.67950i | −0.0539497 | + | 0.926280i | ||||
\(53\) | −4.18963 | − | 7.25666i | −0.575490 | − | 0.996779i | −0.995988 | − | 0.0894851i | \(-0.971478\pi\) |
0.420498 | − | 0.907294i | \(-0.361855\pi\) | |||||||
\(54\) | −2.77353 | + | 1.00318i | −0.377429 | + | 0.136516i | ||||
\(55\) | 4.98301 | − | 8.63082i | 0.671909 | − | 1.16378i | ||||
\(56\) | −5.45881 | − | 3.59032i | −0.729464 | − | 0.479776i | ||||
\(57\) | −8.00267 | + | 2.56005i | −1.05998 | + | 0.339087i | ||||
\(58\) | −0.404606 | − | 0.937983i | −0.0531274 | − | 0.123163i | ||||
\(59\) | −4.89526 | + | 1.16020i | −0.637309 | + | 0.151045i | −0.536554 | − | 0.843866i | \(-0.680274\pi\) |
−0.100755 | + | 0.994911i | \(0.532126\pi\) | |||||||
\(60\) | −4.76818 | − | 6.96216i | −0.615570 | − | 0.898811i | ||||
\(61\) | −0.340761 | − | 0.457722i | −0.0436300 | − | 0.0586053i | 0.779773 | − | 0.626063i | \(-0.215335\pi\) |
−0.823403 | + | 0.567457i | \(0.807927\pi\) | |||||||
\(62\) | 0.360495 | − | 0.131209i | 0.0457829 | − | 0.0166636i | ||||
\(63\) | 4.38700 | − | 8.30156i | 0.552710 | − | 1.04590i | ||||
\(64\) | 1.19553 | + | 0.435136i | 0.149441 | + | 0.0543920i | ||||
\(65\) | 3.32104 | + | 11.0930i | 0.411924 | + | 1.37592i | ||||
\(66\) | 3.31142 | − | 0.648041i | 0.407607 | − | 0.0797684i | ||||
\(67\) | 0.794778 | + | 13.6458i | 0.0970975 | + | 1.66710i | 0.597924 | + | 0.801553i | \(0.295992\pi\) |
−0.500826 | + | 0.865548i | \(0.666971\pi\) | |||||||
\(68\) | −1.31043 | + | 0.861882i | −0.158913 | + | 0.104519i | ||||
\(69\) | −3.83141 | − | 9.94338i | −0.461247 | − | 1.19704i | ||||
\(70\) | −5.01945 | − | 1.18963i | −0.599939 | − | 0.142188i | ||||
\(71\) | −2.31784 | − | 13.1452i | −0.275078 | − | 1.56004i | −0.738715 | − | 0.674017i | \(-0.764567\pi\) |
0.463638 | − | 0.886025i | \(-0.346544\pi\) | |||||||
\(72\) | 1.57028 | − | 6.06263i | 0.185059 | − | 0.714487i | ||||
\(73\) | −1.17142 | + | 6.64347i | −0.137105 | + | 0.777560i | 0.836266 | + | 0.548324i | \(0.184734\pi\) |
−0.973371 | + | 0.229236i | \(0.926377\pi\) | |||||||
\(74\) | 2.56230 | − | 5.94009i | 0.297862 | − | 0.690521i | ||||
\(75\) | −4.83325 | − | 3.45948i | −0.558095 | − | 0.399467i | ||||
\(76\) | 2.33432 | − | 7.79718i | 0.267765 | − | 0.894398i | ||||
\(77\) | −6.41467 | + | 8.61639i | −0.731019 | + | 0.981929i | ||||
\(78\) | −2.09265 | + | 3.31530i | −0.236946 | + | 0.375384i | ||||
\(79\) | 0.666057 | − | 0.334506i | 0.0749373 | − | 0.0376349i | −0.410936 | − | 0.911664i | \(-0.634798\pi\) |
0.485873 | + | 0.874029i | \(0.338502\pi\) | |||||||
\(80\) | 6.30319 | 0.704718 | ||||||||
\(81\) | 8.88816 | + | 1.41445i | 0.987573 | + | 0.157161i | ||||
\(82\) | −3.77609 | −0.417000 | ||||||||
\(83\) | −3.25233 | + | 1.63338i | −0.356989 | + | 0.179287i | −0.618250 | − | 0.785982i | \(-0.712158\pi\) |
0.261261 | + | 0.965268i | \(0.415862\pi\) | |||||||
\(84\) | 4.23350 | + | 8.05015i | 0.461913 | + | 0.878344i | ||||
\(85\) | −1.62096 | + | 2.17733i | −0.175818 | + | 0.236165i | ||||
\(86\) | −0.364070 | + | 1.21608i | −0.0392586 | + | 0.131133i | ||||
\(87\) | −0.303852 | + | 3.10234i | −0.0325763 | + | 0.332605i | ||||
\(88\) | −2.83784 | + | 6.57885i | −0.302515 | + | 0.701308i | ||||
\(89\) | −2.27781 | + | 12.9181i | −0.241447 | + | 1.36931i | 0.587154 | + | 0.809475i | \(0.300248\pi\) |
−0.828601 | + | 0.559839i | \(0.810863\pi\) | |||||||
\(90\) | −0.472102 | − | 4.92195i | −0.0497639 | − | 0.518819i | ||||
\(91\) | −2.16732 | − | 12.2915i | −0.227197 | − | 1.28850i | ||||
\(92\) | 10.0441 | + | 2.38050i | 1.04717 | + | 0.248185i | ||||
\(93\) | −1.15646 | − | 0.181660i | −0.119920 | − | 0.0188373i | ||||
\(94\) | −1.50314 | + | 0.988632i | −0.155037 | + | 0.101970i | ||||
\(95\) | −0.819027 | − | 14.0621i | −0.0840304 | − | 1.44275i | ||||
\(96\) | 6.15338 | + | 7.06051i | 0.628026 | + | 0.720611i | ||||
\(97\) | −3.58656 | − | 11.9799i | −0.364160 | − | 1.21638i | −0.922249 | − | 0.386597i | \(-0.873650\pi\) |
0.558089 | − | 0.829781i | \(-0.311535\pi\) | |||||||
\(98\) | 1.49119 | + | 0.542748i | 0.150633 | + | 0.0548258i | ||||
\(99\) | −9.80055 | − | 3.15688i | −0.984992 | − | 0.317279i | ||||
\(100\) | 5.41044 | − | 1.96924i | 0.541044 | − | 0.196924i | ||||
\(101\) | −3.57328 | − | 4.79974i | −0.355554 | − | 0.477592i | 0.587976 | − | 0.808878i | \(-0.299925\pi\) |
−0.943530 | + | 0.331286i | \(0.892517\pi\) | |||||||
\(102\) | −0.916329 | + | 0.0706062i | −0.0907301 | + | 0.00699106i | ||||
\(103\) | 1.72093 | − | 0.407867i | 0.169568 | − | 0.0401883i | −0.144955 | − | 0.989438i | \(-0.546304\pi\) |
0.314523 | + | 0.949250i | \(0.398156\pi\) | |||||||
\(104\) | −3.29728 | − | 7.64395i | −0.323325 | − | 0.749551i | ||||
\(105\) | 11.6499 | + | 10.5859i | 1.13691 | + | 1.03308i | ||||
\(106\) | 3.97370 | + | 2.61354i | 0.385960 | + | 0.253850i | ||||
\(107\) | −3.57628 | + | 6.19429i | −0.345732 | + | 0.598825i | −0.985486 | − | 0.169754i | \(-0.945703\pi\) |
0.639755 | + | 0.768579i | \(0.279036\pi\) | |||||||
\(108\) | −5.99551 | + | 6.32938i | −0.576918 | + | 0.609045i | ||||
\(109\) | −5.68613 | − | 9.84867i | −0.544633 | − | 0.943332i | −0.998630 | − | 0.0523287i | \(-0.983336\pi\) |
0.453997 | − | 0.891003i | \(-0.349998\pi\) | |||||||
\(110\) | −0.328913 | + | 5.64722i | −0.0313606 | + | 0.538441i | ||||
\(111\) | −15.6109 | + | 12.0827i | −1.48172 | + | 1.14684i | ||||
\(112\) | −6.74803 | − | 0.788732i | −0.637629 | − | 0.0745281i | ||||
\(113\) | 3.99674 | + | 4.23629i | 0.375981 | + | 0.398517i | 0.887539 | − | 0.460732i | \(-0.152413\pi\) |
−0.511558 | + | 0.859249i | \(0.670932\pi\) | |||||||
\(114\) | 3.40707 | − | 3.33716i | 0.319101 | − | 0.312554i | ||||
\(115\) | 17.7437 | − | 2.07394i | 1.65461 | − | 0.193396i | ||||
\(116\) | −2.31313 | − | 1.94095i | −0.214769 | − | 0.180213i | ||||
\(117\) | 10.4824 | − | 5.76566i | 0.969096 | − | 0.533035i | ||||
\(118\) | 2.18749 | − | 1.83552i | 0.201375 | − | 0.168973i | ||||
\(119\) | 2.00781 | − | 2.12816i | 0.184056 | − | 0.195088i | ||||
\(120\) | 9.18926 | + | 5.07844i | 0.838861 | + | 0.463596i | ||||
\(121\) | 0.696696 | + | 0.349894i | 0.0633360 | + | 0.0318086i | ||||
\(122\) | 0.289447 | + | 0.145366i | 0.0262053 | + | 0.0131608i | ||||
\(123\) | 10.0851 | + | 5.57351i | 0.909341 | + | 0.502547i | ||||
\(124\) | 0.778193 | − | 0.824836i | 0.0698838 | − | 0.0740725i | ||||
\(125\) | −3.48865 | + | 2.92733i | −0.312034 | + | 0.261828i | ||||
\(126\) | −0.110474 | + | 5.32838i | −0.00984180 | + | 0.474690i | ||||
\(127\) | 8.22802 | + | 6.90413i | 0.730119 | + | 0.612643i | 0.930164 | − | 0.367144i | \(-0.119664\pi\) |
−0.200045 | + | 0.979787i | \(0.564109\pi\) | |||||||
\(128\) | −11.4586 | + | 1.33932i | −1.01281 | + | 0.118380i | ||||
\(129\) | 2.76728 | − | 2.71050i | 0.243645 | − | 0.238646i | ||||
\(130\) | −4.51040 | − | 4.78075i | −0.395588 | − | 0.419299i | ||||
\(131\) | 7.11419 | + | 0.831529i | 0.621570 | + | 0.0726511i | 0.421048 | − | 0.907038i | \(-0.361662\pi\) |
0.200521 | + | 0.979689i | \(0.435736\pi\) | |||||||
\(132\) | 7.88751 | − | 6.10484i | 0.686519 | − | 0.531358i | ||||
\(133\) | −0.882797 | + | 15.1570i | −0.0765482 | + | 1.31428i | ||||
\(134\) | −3.87930 | − | 6.71914i | −0.335120 | − | 0.580446i | ||||
\(135\) | −6.00392 | + | 13.8422i | −0.516735 | + | 1.19135i | ||||
\(136\) | 0.975746 | − | 1.69004i | 0.0836695 | − | 0.144920i | ||||
\(137\) | 7.20952 | + | 4.74178i | 0.615951 | + | 0.405117i | 0.818789 | − | 0.574095i | \(-0.194646\pi\) |
−0.202838 | + | 0.979212i | \(0.565016\pi\) | |||||||
\(138\) | 4.47642 | + | 4.06759i | 0.381058 | + | 0.346257i | ||||
\(139\) | −2.33653 | − | 5.41669i | −0.198182 | − | 0.459438i | 0.789925 | − | 0.613203i | \(-0.210119\pi\) |
−0.988107 | + | 0.153765i | \(0.950860\pi\) | |||||||
\(140\) | −14.8372 | + | 3.51649i | −1.25398 | + | 0.297198i | ||||
\(141\) | 5.47377 | − | 0.421772i | 0.460974 | − | 0.0355196i | ||||
\(142\) | 4.52431 | + | 6.07720i | 0.379672 | + | 0.509988i | ||||
\(143\) | −12.8613 | + | 4.68113i | −1.07552 | + | 0.391456i | ||||
\(144\) | −1.37014 | − | 6.36641i | −0.114178 | − | 0.530534i | ||||
\(145\) | −4.91069 | − | 1.78735i | −0.407811 | − | 0.148431i | ||||
\(146\) | −1.09819 | − | 3.66820i | −0.0908866 | − | 0.303583i | ||||
\(147\) | −3.18152 | − | 3.65055i | −0.262408 | − | 0.301092i | ||||
\(148\) | −1.11188 | − | 19.0902i | −0.0913956 | − | 1.56920i | ||||
\(149\) | 11.5252 | − | 7.58026i | 0.944184 | − | 0.620999i | 0.0187156 | − | 0.999825i | \(-0.494042\pi\) |
0.925468 | + | 0.378825i | \(0.123672\pi\) | |||||||
\(150\) | 3.33286 | + | 0.523534i | 0.272127 | + | 0.0427463i | ||||
\(151\) | 6.10780 | + | 1.44758i | 0.497046 | + | 0.117802i | 0.471490 | − | 0.881871i | \(-0.343716\pi\) |
0.0255559 | + | 0.999673i | \(0.491864\pi\) | |||||||
\(152\) | 1.75849 | + | 9.97291i | 0.142633 | + | 0.808910i | ||||
\(153\) | 2.55152 | + | 1.16393i | 0.206278 | + | 0.0940980i | ||||
\(154\) | 1.05877 | − | 6.00461i | 0.0853185 | − | 0.483865i | ||||
\(155\) | 0.777326 | − | 1.80204i | 0.0624363 | − | 0.144744i | ||||
\(156\) | −1.12964 | + | 11.5336i | −0.0904435 | + | 0.923431i | ||||
\(157\) | 0.0476363 | − | 0.159116i | 0.00380179 | − | 0.0126989i | −0.956068 | − | 0.293146i | \(-0.905298\pi\) |
0.959869 | + | 0.280448i | \(0.0904829\pi\) | |||||||
\(158\) | −0.252633 | + | 0.339346i | −0.0200984 | + | 0.0269969i | ||||
\(159\) | −6.75525 | − | 12.8453i | −0.535726 | − | 1.01870i | ||||
\(160\) | −14.0311 | + | 7.04667i | −1.10925 | + | 0.557088i | ||||
\(161\) | −19.2554 | −1.51754 | ||||||||
\(162\) | −4.86869 | + | 1.54673i | −0.382520 | + | 0.121523i | ||||
\(163\) | 16.2014 | 1.26899 | 0.634495 | − | 0.772927i | \(-0.281208\pi\) | ||||
0.634495 | + | 0.772927i | \(0.281208\pi\) | |||||||
\(164\) | −9.97467 | + | 5.00947i | −0.778891 | + | 0.391174i | ||||
\(165\) | 9.21375 | − | 14.5970i | 0.717289 | − | 1.13637i | ||||
\(166\) | 1.23360 | − | 1.65701i | 0.0957457 | − | 0.128609i | ||||
\(167\) | 5.24163 | − | 17.5083i | 0.405610 | − | 1.35483i | −0.474582 | − | 0.880211i | \(-0.657401\pi\) |
0.880191 | − | 0.474619i | \(-0.157414\pi\) | |||||||
\(168\) | −9.20230 | − | 6.58671i | −0.709973 | − | 0.508176i | ||||
\(169\) | 1.14965 | − | 2.66518i | 0.0884345 | − | 0.205014i | ||||
\(170\) | 0.267548 | − | 1.51734i | 0.0205200 | − | 0.116375i | ||||
\(171\) | −14.0251 | + | 3.88396i | −1.07253 | + | 0.297014i | ||||
\(172\) | 0.651580 | + | 3.69529i | 0.0496825 | + | 0.281763i | ||||
\(173\) | 18.3456 | + | 4.34799i | 1.39479 | + | 0.330572i | 0.858219 | − | 0.513283i | \(-0.171571\pi\) |
0.536572 | + | 0.843855i | \(0.319719\pi\) | |||||||
\(174\) | −0.636172 | − | 1.65101i | −0.0482281 | − | 0.125163i | ||||
\(175\) | −8.97346 | + | 5.90193i | −0.678329 | + | 0.446144i | ||||
\(176\) | 0.433193 | + | 7.43764i | 0.0326532 | + | 0.560633i | ||||
\(177\) | −8.55151 | + | 1.67352i | −0.642771 | + | 0.125790i | ||||
\(178\) | −2.13540 | − | 7.13274i | −0.160055 | − | 0.534621i | ||||
\(179\) | 9.67521 | + | 3.52149i | 0.723159 | + | 0.263209i | 0.677266 | − | 0.735738i | \(-0.263164\pi\) |
0.0458930 | + | 0.998946i | \(0.485387\pi\) | |||||||
\(180\) | −7.77667 | − | 12.3752i | −0.579638 | − | 0.922392i | ||||
\(181\) | 0.770198 | − | 0.280329i | 0.0572484 | − | 0.0208367i | −0.313237 | − | 0.949675i | \(-0.601414\pi\) |
0.370486 | + | 0.928838i | \(0.379191\pi\) | |||||||
\(182\) | 4.23049 | + | 5.68254i | 0.313585 | + | 0.421218i | ||||
\(183\) | −0.558486 | − | 0.815461i | −0.0412845 | − | 0.0602806i | ||||
\(184\) | −12.4970 | + | 2.96185i | −0.921292 | + | 0.218350i | ||||
\(185\) | −13.1080 | − | 30.3879i | −0.963723 | − | 2.23416i | ||||
\(186\) | 0.632874 | − | 0.202456i | 0.0464045 | − | 0.0148448i | ||||
\(187\) | −2.68061 | − | 1.76306i | −0.196025 | − | 0.128928i | ||||
\(188\) | −2.65905 | + | 4.60561i | −0.193931 | + | 0.335899i | ||||
\(189\) | 8.15974 | − | 14.0678i | 0.593534 | − | 1.02328i | ||||
\(190\) | 3.99766 | + | 6.92415i | 0.290021 | + | 0.502330i | ||||
\(191\) | 0.0444838 | − | 0.763757i | 0.00321873 | − | 0.0552635i | −0.996316 | − | 0.0857543i | \(-0.972670\pi\) |
0.999535 | + | 0.0304908i | \(0.00970703\pi\) | |||||||
\(192\) | 2.03937 | + | 0.834768i | 0.147179 | + | 0.0602442i | ||||
\(193\) | −9.29144 | − | 1.08601i | −0.668812 | − | 0.0781730i | −0.225091 | − | 0.974338i | \(-0.572268\pi\) |
−0.443721 | + | 0.896165i | \(0.646342\pi\) | |||||||
\(194\) | 4.87102 | + | 5.16298i | 0.349719 | + | 0.370680i | ||||
\(195\) | 4.98987 | + | 19.4256i | 0.357332 | + | 1.39110i | ||||
\(196\) | 4.65905 | − | 0.544564i | 0.332789 | − | 0.0388975i | ||||
\(197\) | 0.857832 | + | 0.719807i | 0.0611180 | + | 0.0512841i | 0.672835 | − | 0.739793i | \(-0.265076\pi\) |
−0.611717 | + | 0.791077i | \(0.709521\pi\) | |||||||
\(198\) | 5.77535 | − | 0.895336i | 0.410436 | − | 0.0636288i | ||||
\(199\) | 5.88368 | − | 4.93699i | 0.417083 | − | 0.349974i | −0.409969 | − | 0.912099i | \(-0.634461\pi\) |
0.827052 | + | 0.562125i | \(0.190016\pi\) | |||||||
\(200\) | −4.91606 | + | 5.21072i | −0.347618 | + | 0.368453i | ||||
\(201\) | 0.443264 | + | 23.6711i | 0.0312654 | + | 1.66963i | ||||
\(202\) | 3.03518 | + | 1.52433i | 0.213555 | + | 0.107251i | ||||
\(203\) | 5.03360 | + | 2.52797i | 0.353290 | + | 0.177429i | ||||
\(204\) | −2.32684 | + | 1.40214i | −0.162912 | + | 0.0981691i | ||||
\(205\) | −13.2564 | + | 14.0510i | −0.925870 | + | 0.981365i | ||||
\(206\) | −0.769010 | + | 0.645276i | −0.0535794 | + | 0.0449585i | ||||
\(207\) | −5.95171 | − | 17.4708i | −0.413673 | − | 1.21430i | ||||
\(208\) | −6.63120 | − | 5.56424i | −0.459791 | − | 0.385811i | ||||
\(209\) | 16.5368 | − | 1.93287i | 1.14387 | − | 0.133699i | ||||
\(210\) | −8.60590 | − | 2.40182i | −0.593864 | − | 0.165741i | ||||
\(211\) | 7.02525 | + | 7.44633i | 0.483638 | + | 0.512627i | 0.922536 | − | 0.385910i | \(-0.126113\pi\) |
−0.438898 | + | 0.898537i | \(0.644631\pi\) | |||||||
\(212\) | 13.9638 | + | 1.63214i | 0.959041 | + | 0.112096i | ||||
\(213\) | −3.11344 | − | 22.9087i | −0.213330 | − | 1.56968i | ||||
\(214\) | 0.236059 | − | 4.05298i | 0.0161367 | − | 0.277056i | ||||
\(215\) | 3.24697 | + | 5.62391i | 0.221441 | + | 0.383547i | ||||
\(216\) | 3.13188 | − | 10.3853i | 0.213097 | − | 0.706632i | ||||
\(217\) | −1.05768 | + | 1.83195i | −0.0717999 | + | 0.124361i | ||||
\(218\) | 5.39307 | + | 3.54708i | 0.365265 | + | 0.240238i | ||||
\(219\) | −2.48126 | + | 11.4179i | −0.167668 | + | 0.771547i | ||||
\(220\) | 6.62292 | + | 15.3537i | 0.446517 | + | 1.03514i | ||||
\(221\) | 3.62739 | − | 0.859707i | 0.244005 | − | 0.0578301i | ||||
\(222\) | 4.84041 | − | 10.1055i | 0.324867 | − | 0.678235i | ||||
\(223\) | −2.77779 | − | 3.73122i | −0.186014 | − | 0.249861i | 0.699327 | − | 0.714802i | \(-0.253483\pi\) |
−0.885342 | + | 0.464941i | \(0.846076\pi\) | |||||||
\(224\) | 15.9031 | − | 5.78824i | 1.06257 | − | 0.386743i | ||||
\(225\) | −8.12857 | − | 6.31754i | −0.541905 | − | 0.421169i | ||||
\(226\) | −3.10644 | − | 1.13065i | −0.206637 | − | 0.0752098i | ||||
\(227\) | −4.04954 | − | 13.5264i | −0.268777 | − | 0.897779i | −0.980700 | − | 0.195521i | \(-0.937360\pi\) |
0.711922 | − | 0.702258i | \(-0.247825\pi\) | |||||||
\(228\) | 4.57271 | − | 13.3351i | 0.302835 | − | 0.883140i | ||||
\(229\) | 0.301500 | + | 5.17655i | 0.0199237 | + | 0.342076i | 0.993509 | + | 0.113753i | \(0.0362872\pi\) |
−0.973585 | + | 0.228323i | \(0.926676\pi\) | |||||||
\(230\) | −8.47186 | + | 5.57203i | −0.558618 | + | 0.367409i | ||||
\(231\) | −11.6905 | + | 14.4742i | −0.769181 | + | 0.952331i | ||||
\(232\) | 3.65572 | + | 0.866423i | 0.240010 | + | 0.0568834i | ||||
\(233\) | 0.773336 | + | 4.38581i | 0.0506629 | + | 0.287324i | 0.999604 | − | 0.0281287i | \(-0.00895483\pi\) |
−0.948941 | + | 0.315452i | \(0.897844\pi\) | |||||||
\(234\) | −3.84826 | + | 5.59484i | −0.251568 | + | 0.365746i | ||||
\(235\) | −1.59822 | + | 9.06397i | −0.104257 | + | 0.591268i | ||||
\(236\) | 3.34327 | − | 7.75057i | 0.217628 | − | 0.504519i | ||||
\(237\) | 1.17560 | − | 0.533427i | 0.0763634 | − | 0.0346498i | ||||
\(238\) | −0.476298 | + | 1.59095i | −0.0308738 | + | 0.103126i | ||||
\(239\) | −17.3543 | + | 23.3108i | −1.12255 | + | 1.50785i | −0.287420 | + | 0.957805i | \(0.592798\pi\) |
−0.835134 | + | 0.550047i | \(0.814610\pi\) | |||||||
\(240\) | 10.9090 | + | 0.430624i | 0.704170 | + | 0.0277967i | ||||
\(241\) | 22.3266 | − | 11.2128i | 1.43818 | − | 0.722281i | 0.452635 | − | 0.891696i | \(-0.350484\pi\) |
0.985545 | + | 0.169415i | \(0.0541877\pi\) | |||||||
\(242\) | −0.442520 | −0.0284463 | ||||||||
\(243\) | 15.2861 | + | 3.05522i | 0.980605 | + | 0.195992i | ||||
\(244\) | 0.957429 | 0.0612931 | ||||||||
\(245\) | 7.25459 | − | 3.64339i | 0.463479 | − | 0.232768i | ||||
\(246\) | −6.53529 | − | 0.257977i | −0.416675 | − | 0.0164480i | ||||
\(247\) | −11.5519 | + | 15.5169i | −0.735031 | + | 0.987319i | ||||
\(248\) | −0.404658 | + | 1.35165i | −0.0256958 | + | 0.0858299i | ||||
\(249\) | −5.74040 | + | 2.60470i | −0.363783 | + | 0.165066i | ||||
\(250\) | 1.02385 | − | 2.37354i | 0.0647538 | − | 0.150116i | ||||
\(251\) | 2.46091 | − | 13.9565i | 0.155331 | − | 0.880926i | −0.803152 | − | 0.595775i | \(-0.796845\pi\) |
0.958483 | − | 0.285151i | \(-0.0920438\pi\) | |||||||
\(252\) | 6.77696 | + | 14.2217i | 0.426908 | + | 0.895880i | ||||
\(253\) | 3.66665 | + | 20.7946i | 0.230521 | + | 1.30735i | ||||
\(254\) | −5.93230 | − | 1.40598i | −0.372226 | − | 0.0882191i | ||||
\(255\) | −2.95416 | + | 3.65757i | −0.184996 | + | 0.229046i | ||||
\(256\) | 3.34511 | − | 2.20011i | 0.209069 | − | 0.137507i | ||||
\(257\) | −0.854668 | − | 14.6741i | −0.0533127 | − | 0.915344i | −0.913874 | − | 0.405997i | \(-0.866924\pi\) |
0.860562 | − | 0.509347i | \(-0.170113\pi\) | |||||||
\(258\) | −0.713177 | + | 2.07980i | −0.0444005 | + | 0.129482i | ||||
\(259\) | 10.2306 | + | 34.1727i | 0.635700 | + | 2.12339i | ||||
\(260\) | −18.2566 | − | 6.64487i | −1.13223 | − | 0.412098i | ||||
\(261\) | −0.737824 | + | 5.34846i | −0.0456702 | + | 0.331062i | ||||
\(262\) | −3.82038 | + | 1.39050i | −0.236024 | + | 0.0859056i | ||||
\(263\) | 9.78683 | + | 13.1460i | 0.603482 | + | 0.810617i | 0.993931 | − | 0.110008i | \(-0.0350876\pi\) |
−0.390449 | + | 0.920625i | \(0.627680\pi\) | |||||||
\(264\) | −5.36091 | + | 11.1922i | −0.329941 | + | 0.688830i | ||||
\(265\) | 23.6753 | − | 5.61114i | 1.45436 | − | 0.344690i | ||||
\(266\) | −3.41335 | − | 7.91304i | −0.209286 | − | 0.485180i | ||||
\(267\) | −4.82475 | + | 22.2018i | −0.295270 | + | 1.35873i | ||||
\(268\) | −19.1611 | − | 12.6024i | −1.17045 | − | 0.769817i | ||||
\(269\) | 5.68131 | − | 9.84032i | 0.346396 | − | 0.599975i | −0.639211 | − | 0.769032i | \(-0.720739\pi\) |
0.985606 | + | 0.169057i | \(0.0540721\pi\) | |||||||
\(270\) | −0.480808 | − | 8.55068i | −0.0292611 | − | 0.520378i | ||||
\(271\) | −1.38266 | − | 2.39483i | −0.0839903 | − | 0.145476i | 0.820970 | − | 0.570971i | \(-0.193433\pi\) |
−0.904961 | + | 0.425496i | \(0.860100\pi\) | |||||||
\(272\) | 0.117990 | − | 2.02580i | 0.00715416 | − | 0.122832i | ||||
\(273\) | −2.91125 | − | 21.4210i | −0.176197 | − | 1.29646i | ||||
\(274\) | −4.86484 | − | 0.568618i | −0.293896 | − | 0.0343515i | ||||
\(275\) | 8.08246 | + | 8.56691i | 0.487391 | + | 0.516604i | ||||
\(276\) | 17.2208 | + | 4.80614i | 1.03657 | + | 0.289296i | ||||
\(277\) | −18.2717 | + | 2.13566i | −1.09784 | + | 0.128319i | −0.645673 | − | 0.763614i | \(-0.723423\pi\) |
−0.452167 | + | 0.891933i | \(0.649349\pi\) | |||||||
\(278\) | 2.56503 | + | 2.15231i | 0.153840 | + | 0.129087i | ||||
\(279\) | −1.98909 | − | 0.393408i | −0.119083 | − | 0.0235527i | ||||
\(280\) | 14.5334 | − | 12.1950i | 0.868538 | − | 0.728790i | ||||
\(281\) | −7.36555 | + | 7.80702i | −0.439392 | + | 0.465728i | −0.908787 | − | 0.417260i | \(-0.862990\pi\) |
0.469395 | + | 0.882988i | \(0.344472\pi\) | |||||||
\(282\) | −2.66903 | + | 1.60834i | −0.158939 | + | 0.0957750i | ||||
\(283\) | −12.7718 | − | 6.41421i | −0.759202 | − | 0.381285i | 0.0266946 | − | 0.999644i | \(-0.491502\pi\) |
−0.785896 | + | 0.618358i | \(0.787798\pi\) | |||||||
\(284\) | 20.0133 | + | 10.0511i | 1.18757 | + | 0.596421i | ||||
\(285\) | −0.456788 | − | 24.3933i | −0.0270578 | − | 1.44494i | ||||
\(286\) | 5.33120 | − | 5.65074i | 0.315241 | − | 0.334135i | ||||
\(287\) | 15.9502 | − | 13.3838i | 0.941512 | − | 0.790022i | ||||
\(288\) | 10.1673 | + | 12.6400i | 0.599114 | + | 0.744821i | ||||
\(289\) | −12.3533 | − | 10.3657i | −0.726666 | − | 0.609745i | ||||
\(290\) | 2.94618 | − | 0.344359i | 0.173006 | − | 0.0202215i | ||||
\(291\) | −5.38882 | − | 20.9787i | −0.315898 | − | 1.22980i | ||||
\(292\) | −7.76724 | − | 8.23279i | −0.454543 | − | 0.481787i | ||||
\(293\) | 21.6982 | + | 2.53616i | 1.26762 | + | 0.148164i | 0.723195 | − | 0.690644i | \(-0.242673\pi\) |
0.544428 | + | 0.838808i | \(0.316747\pi\) | |||||||
\(294\) | 2.54372 | + | 1.04121i | 0.148353 | + | 0.0607247i | ||||
\(295\) | 0.849396 | − | 14.5836i | 0.0494537 | − | 0.849088i | ||||
\(296\) | 11.8962 | + | 20.6048i | 0.691453 | + | 1.19763i | ||||
\(297\) | −16.7462 | − | 6.13318i | −0.971711 | − | 0.355883i | ||||
\(298\) | −3.91497 | + | 6.78092i | −0.226788 | + | 0.392808i | ||||
\(299\) | −20.4978 | − | 13.4816i | −1.18542 | − | 0.779663i | ||||
\(300\) | 9.49839 | − | 3.03853i | 0.548390 | − | 0.175430i | ||||
\(301\) | −2.77238 | − | 6.42711i | −0.159798 | − | 0.370452i | ||||
\(302\) | −3.46684 | + | 0.821656i | −0.199494 | + | 0.0472810i | ||||
\(303\) | −5.85637 | − | 8.55105i | −0.336440 | − | 0.491245i | ||||
\(304\) | 6.28819 | + | 8.44650i | 0.360652 | + | 0.484440i | ||||
\(305\) | 1.55705 | − | 0.566720i | 0.0891564 | − | 0.0324503i | ||||
\(306\) | −1.59072 | + | 0.0595962i | −0.0909352 | + | 0.00340689i | ||||
\(307\) | −28.6368 | − | 10.4229i | −1.63439 | − | 0.594869i | −0.648344 | − | 0.761347i | \(-0.724538\pi\) |
−0.986045 | + | 0.166478i | \(0.946760\pi\) | |||||||
\(308\) | −5.16909 | − | 17.2660i | −0.294536 | − | 0.983820i | ||||
\(309\) | 3.00627 | − | 0.588325i | 0.171021 | − | 0.0334687i | ||||
\(310\) | 0.0647710 | + | 1.11207i | 0.00367874 | + | 0.0631616i | ||||
\(311\) | −22.6519 | + | 14.8984i | −1.28447 | + | 0.844812i | −0.993710 | − | 0.111983i | \(-0.964280\pi\) |
−0.290764 | + | 0.956795i | \(0.593909\pi\) | |||||||
\(312\) | −5.18439 | − | 13.4547i | −0.293508 | − | 0.761721i | ||||
\(313\) | −7.88787 | − | 1.86946i | −0.445849 | − | 0.105668i | 0.00155774 | − | 0.999999i | \(-0.499504\pi\) |
−0.447407 | + | 0.894331i | \(0.647652\pi\) | |||||||
\(314\) | 0.0163709 | + | 0.0928440i | 0.000923863 | + | 0.00523949i | ||||
\(315\) | 19.4393 | + | 19.1170i | 1.09528 | + | 1.07712i | ||||
\(316\) | −0.217154 | + | 1.23154i | −0.0122159 | + | 0.0692797i | ||||
\(317\) | −7.69151 | + | 17.8309i | −0.431998 | + | 1.00148i | 0.553662 | + | 0.832742i | \(0.313230\pi\) |
−0.985660 | + | 0.168743i | \(0.946029\pi\) | |||||||
\(318\) | 6.69874 | + | 4.79474i | 0.375647 | + | 0.268876i | ||||
\(319\) | 1.77154 | − | 5.91736i | 0.0991872 | − | 0.331308i | ||||
\(320\) | −2.20607 | + | 2.96326i | −0.123323 | + | 0.165652i | ||||
\(321\) | −6.61266 | + | 10.4762i | −0.369083 | + | 0.584722i | ||||
\(322\) | 9.76698 | − | 4.90516i | 0.544293 | − | 0.273354i | ||||
\(323\) | −4.53480 | −0.252323 | ||||||||
\(324\) | −10.8089 | + | 10.5447i | −0.600492 | + | 0.585815i | ||||
\(325\) | −13.6847 | −0.759089 | ||||||||
\(326\) | −8.21787 | + | 4.12717i | −0.455146 | + | 0.228583i | ||||
\(327\) | −9.16816 | − | 17.4336i | −0.507001 | − | 0.964080i | ||||
\(328\) | 8.29321 | − | 11.1397i | 0.457916 | − | 0.615088i | ||||
\(329\) | 2.84521 | − | 9.50365i | 0.156861 | − | 0.523953i | ||||
\(330\) | −0.955060 | + | 9.75119i | −0.0525743 | + | 0.536785i | ||||
\(331\) | 0.786897 | − | 1.82423i | 0.0432518 | − | 0.100269i | −0.895221 | − | 0.445623i | \(-0.852982\pi\) |
0.938472 | + | 0.345354i | \(0.112241\pi\) | |||||||
\(332\) | 1.06035 | − | 6.01357i | 0.0581945 | − | 0.330037i | ||||
\(333\) | −27.8433 | + | 19.8450i | −1.52580 | + | 1.08750i | ||||
\(334\) | 1.80136 | + | 10.2160i | 0.0985662 | + | 0.558997i | ||||
\(335\) | −38.6210 | − | 9.15334i | −2.11009 | − | 0.500100i | ||||
\(336\) | −11.6250 | − | 1.82607i | −0.634193 | − | 0.0996206i | ||||
\(337\) | 15.3358 | − | 10.0865i | 0.835397 | − | 0.549449i | −0.0582076 | − | 0.998304i | \(-0.518539\pi\) |
0.893604 | + | 0.448855i | \(0.148168\pi\) | |||||||
\(338\) | 0.0957949 | + | 1.64473i | 0.00521055 | + | 0.0894617i | ||||
\(339\) | 6.62775 | + | 7.60482i | 0.359970 | + | 0.413037i | ||||
\(340\) | −1.30621 | − | 4.36305i | −0.0708392 | − | 0.236619i | ||||
\(341\) | 2.17980 | + | 0.793381i | 0.118043 | + | 0.0429640i | ||||
\(342\) | 6.12461 | − | 5.54287i | 0.331181 | − | 0.299724i | ||||
\(343\) | 12.3650 | − | 4.50048i | 0.667646 | − | 0.243003i | ||||
\(344\) | −2.78792 | − | 3.74483i | −0.150315 | − | 0.201908i | ||||
\(345\) | 30.8507 | − | 2.37715i | 1.66095 | − | 0.127981i | ||||
\(346\) | −10.4131 | + | 2.46796i | −0.559813 | + | 0.132678i | ||||
\(347\) | 10.6086 | + | 24.5935i | 0.569499 | + | 1.32025i | 0.922995 | + | 0.384812i | \(0.125734\pi\) |
−0.353496 | + | 0.935436i | \(0.615007\pi\) | |||||||
\(348\) | −3.87075 | − | 3.51724i | −0.207494 | − | 0.188544i | ||||
\(349\) | 10.9528 | + | 7.20376i | 0.586289 | + | 0.385608i | 0.807719 | − | 0.589568i | \(-0.200702\pi\) |
−0.221430 | + | 0.975176i | \(0.571072\pi\) | |||||||
\(350\) | 3.04816 | − | 5.27957i | 0.162931 | − | 0.282205i | ||||
\(351\) | 18.5358 | − | 9.26250i | 0.989367 | − | 0.494396i | ||||
\(352\) | −9.27922 | − | 16.0721i | −0.494584 | − | 0.856645i | ||||
\(353\) | 1.13003 | − | 19.4019i | 0.0601456 | − | 1.03266i | −0.824341 | − | 0.566094i | \(-0.808454\pi\) |
0.884486 | − | 0.466566i | \(-0.154509\pi\) | |||||||
\(354\) | 3.91129 | − | 3.02730i | 0.207883 | − | 0.160899i | ||||
\(355\) | 38.4967 | + | 4.49962i | 2.04319 | + | 0.238815i | ||||
\(356\) | −15.1032 | − | 16.0085i | −0.800469 | − | 0.848447i | ||||
\(357\) | 3.62032 | − | 3.54604i | 0.191608 | − | 0.187676i | ||||
\(358\) | −5.80466 | + | 0.678468i | −0.306786 | + | 0.0358581i | ||||
\(359\) | −11.2428 | − | 9.43384i | −0.593373 | − | 0.497899i | 0.295935 | − | 0.955208i | \(-0.404369\pi\) |
−0.889308 | + | 0.457309i | \(0.848813\pi\) | |||||||
\(360\) | 15.5569 | + | 9.41706i | 0.819922 | + | 0.496323i | ||||
\(361\) | 3.47185 | − | 2.91323i | 0.182729 | − | 0.153328i | ||||
\(362\) | −0.319258 | + | 0.338394i | −0.0167798 | + | 0.0177856i | ||||
\(363\) | 1.18187 | + | 0.653160i | 0.0620321 | + | 0.0342820i | ||||
\(364\) | 18.7136 | + | 9.39832i | 0.980858 | + | 0.492606i | ||||
\(365\) | −17.5049 | − | 8.79127i | −0.916246 | − | 0.460156i | ||||
\(366\) | 0.491015 | + | 0.271359i | 0.0256658 | + | 0.0141842i | ||||
\(367\) | 7.54456 | − | 7.99677i | 0.393823 | − | 0.417428i | −0.499875 | − | 0.866098i | \(-0.666621\pi\) |
0.893698 | + | 0.448670i | \(0.148102\pi\) | |||||||
\(368\) | −10.2304 | + | 8.58433i | −0.533297 | + | 0.447489i | ||||
\(369\) | 17.0735 | + | 10.3351i | 0.888811 | + | 0.538023i | ||||
\(370\) | 14.3899 | + | 12.0746i | 0.748096 | + | 0.627727i | ||||
\(371\) | −26.0482 | + | 3.04460i | −1.35236 | + | 0.158068i | ||||
\(372\) | 1.40317 | − | 1.37438i | 0.0727511 | − | 0.0712584i | ||||
\(373\) | 14.0118 | + | 14.8517i | 0.725505 | + | 0.768990i | 0.980195 | − | 0.198033i | \(-0.0634552\pi\) |
−0.254691 | + | 0.967023i | \(0.581974\pi\) | |||||||
\(374\) | 1.80882 | + | 0.211421i | 0.0935319 | + | 0.0109323i | ||||
\(375\) | −6.23781 | + | 4.82799i | −0.322119 | + | 0.249316i | ||||
\(376\) | 0.384735 | − | 6.60564i | 0.0198412 | − | 0.340660i | ||||
\(377\) | 3.58843 | + | 6.21535i | 0.184814 | + | 0.320107i | ||||
\(378\) | −0.555224 | + | 9.21430i | −0.0285577 | + | 0.473932i | ||||
\(379\) | −13.0154 | + | 22.5433i | −0.668556 | + | 1.15797i | 0.309753 | + | 0.950817i | \(0.399754\pi\) |
−0.978308 | + | 0.207155i | \(0.933580\pi\) | |||||||
\(380\) | 19.7457 | + | 12.9870i | 1.01293 | + | 0.666217i | ||||
\(381\) | 13.7686 | + | 12.5111i | 0.705386 | + | 0.640964i | ||||
\(382\) | 0.171997 | + | 0.398735i | 0.00880015 | + | 0.0204010i | ||||
\(383\) | −22.8964 | + | 5.42654i | −1.16995 | + | 0.277283i | −0.769263 | − | 0.638932i | \(-0.779376\pi\) |
−0.400686 | + | 0.916215i | \(0.631228\pi\) | |||||||
\(384\) | −19.9230 | + | 1.53513i | −1.01669 | + | 0.0783394i | ||||
\(385\) | −18.6264 | − | 25.0197i | −0.949292 | − | 1.27512i | ||||
\(386\) | 4.98958 | − | 1.81606i | 0.253963 | − | 0.0924349i | ||||
\(387\) | 4.97451 | − | 4.50201i | 0.252869 | − | 0.228850i | ||||
\(388\) | 19.7163 | + | 7.17615i | 1.00094 | + | 0.364314i | ||||
\(389\) | 9.48468 | + | 31.6810i | 0.480892 | + | 1.60629i | 0.762653 | + | 0.646807i | \(0.223896\pi\) |
−0.281761 | + | 0.959485i | \(0.590919\pi\) | |||||||
\(390\) | −7.47955 | − | 8.58220i | −0.378742 | − | 0.434576i | ||||
\(391\) | −0.334405 | − | 5.74151i | −0.0169116 | − | 0.290361i | ||||
\(392\) | −4.87615 | + | 3.20710i | −0.246283 | + | 0.161983i | ||||
\(393\) | 12.2557 | + | 1.92516i | 0.618220 | + | 0.0971115i | ||||
\(394\) | −0.618486 | − | 0.146584i | −0.0311589 | − | 0.00738479i | ||||
\(395\) | 0.375819 | + | 2.13137i | 0.0189095 | + | 0.107241i | ||||
\(396\) | 14.0680 | − | 10.0268i | 0.706944 | − | 0.503866i | ||||
\(397\) | −0.00960087 | + | 0.0544493i | −0.000481854 | + | 0.00273273i | −0.985048 | − | 0.172282i | \(-0.944886\pi\) |
0.984566 | + | 0.175014i | \(0.0559972\pi\) | |||||||
\(398\) | −1.72674 | + | 4.00303i | −0.0865536 | + | 0.200654i | ||||
\(399\) | −2.56336 | + | 26.1720i | −0.128329 | + | 1.31024i | ||||
\(400\) | −2.13643 | + | 7.13619i | −0.106822 | + | 0.356809i | ||||
\(401\) | −17.1048 | + | 22.9757i | −0.854173 | + | 1.14735i | 0.133535 | + | 0.991044i | \(0.457367\pi\) |
−0.987708 | + | 0.156310i | \(0.950040\pi\) | |||||||
\(402\) | −6.25487 | − | 11.8939i | −0.311965 | − | 0.593212i | ||||
\(403\) | −2.40856 | + | 1.20962i | −0.119979 | + | 0.0602557i | ||||
\(404\) | 10.0397 | 0.499496 | ||||||||
\(405\) | −11.3367 | + | 23.5466i | −0.563324 | + | 1.17004i | ||||
\(406\) | −3.19719 | −0.158674 | ||||||||
\(407\) | 34.9562 | − | 17.5557i | 1.73271 | − | 0.870202i | ||||
\(408\) | 1.80419 | − | 2.85830i | 0.0893206 | − | 0.141507i | ||||
\(409\) | 18.7728 | − | 25.2163i | 0.928255 | − | 1.24686i | −0.0405846 | − | 0.999176i | \(-0.512922\pi\) |
0.968840 | − | 0.247687i | \(-0.0796706\pi\) | |||||||
\(410\) | 3.14472 | − | 10.5041i | 0.155307 | − | 0.518761i | ||||
\(411\) | 12.1536 | + | 8.69915i | 0.599492 | + | 0.429097i | ||||
\(412\) | −1.17532 | + | 2.72471i | −0.0579040 | + | 0.134237i | ||||
\(413\) | −2.73421 | + | 15.5065i | −0.134542 | + | 0.763024i | ||||
\(414\) | 7.46945 | + | 7.34562i | 0.367104 | + | 0.361017i | ||||
\(415\) | −1.83511 | − | 10.4074i | −0.0900818 | − | 0.510879i | ||||
\(416\) | 20.9818 | + | 4.97277i | 1.02872 | + | 0.243810i | ||||
\(417\) | −3.67379 | − | 9.53431i | −0.179906 | − | 0.466897i | ||||
\(418\) | −7.89561 | + | 5.19302i | −0.386187 | + | 0.253999i | ||||
\(419\) | 0.196196 | + | 3.36855i | 0.00958479 | + | 0.164564i | 0.999704 | + | 0.0243352i | \(0.00774691\pi\) |
−0.990119 | + | 0.140229i | \(0.955216\pi\) | |||||||
\(420\) | −25.9191 | + | 5.07234i | −1.26472 | + | 0.247505i | ||||
\(421\) | −7.24567 | − | 24.2022i | −0.353133 | − | 1.17954i | −0.931492 | − | 0.363763i | \(-0.881492\pi\) |
0.578359 | − | 0.815782i | \(-0.303693\pi\) | |||||||
\(422\) | −5.46033 | − | 1.98740i | −0.265805 | − | 0.0967451i | ||||
\(423\) | 9.50228 | − | 0.356003i | 0.462017 | − | 0.0173095i | ||||
\(424\) | −16.4373 | + | 5.98270i | −0.798267 | + | 0.290545i | ||||
\(425\) | −1.91566 | − | 2.57318i | −0.0929231 | − | 0.124817i | ||||
\(426\) | 7.41505 | + | 10.8269i | 0.359261 | + | 0.524566i | ||||
\(427\) | −1.73785 | + | 0.411878i | −0.0841005 | + | 0.0199322i | ||||
\(428\) | −4.75324 | − | 11.0192i | −0.229756 | − | 0.532635i | ||||
\(429\) | −22.5789 | + | 7.22299i | −1.09012 | + | 0.348729i | ||||
\(430\) | −3.07962 | − | 2.02549i | −0.148512 | − | 0.0976780i | ||||
\(431\) | 16.4068 | − | 28.4174i | 0.790288 | − | 1.36882i | −0.135501 | − | 0.990777i | \(-0.543264\pi\) |
0.925789 | − | 0.378041i | \(-0.123402\pi\) | |||||||
\(432\) | −1.93636 | − | 11.1120i | −0.0931631 | − | 0.534625i | ||||
\(433\) | 6.46122 | + | 11.1912i | 0.310507 | + | 0.537813i | 0.978472 | − | 0.206379i | \(-0.0661680\pi\) |
−0.667966 | + | 0.744192i | \(0.732835\pi\) | |||||||
\(434\) | 0.0698141 | − | 1.19866i | 0.00335118 | − | 0.0575376i | ||||
\(435\) | −8.37685 | − | 3.42886i | −0.401639 | − | 0.164401i | ||||
\(436\) | 18.9516 | + | 2.21513i | 0.907618 | + | 0.106085i | ||||
\(437\) | 20.4806 | + | 21.7081i | 0.979719 | + | 1.03844i | ||||
\(438\) | −1.65003 | − | 6.42359i | −0.0788415 | − | 0.306931i | ||||
\(439\) | −36.6280 | + | 4.28120i | −1.74816 | + | 0.204330i | −0.929214 | − | 0.369542i | \(-0.879515\pi\) |
−0.818945 | + | 0.573872i | \(0.805441\pi\) | |||||||
\(440\) | −15.9373 | − | 13.3730i | −0.759781 | − | 0.637532i | ||||
\(441\) | −5.25687 | − | 6.53537i | −0.250327 | − | 0.311208i | ||||
\(442\) | −1.62093 | + | 1.36012i | −0.0770997 | + | 0.0646943i | ||||
\(443\) | 23.5817 | − | 24.9951i | 1.12040 | − | 1.18755i | 0.140078 | − | 0.990140i | \(-0.455265\pi\) |
0.980320 | − | 0.197413i | \(-0.0632539\pi\) | |||||||
\(444\) | −0.620116 | − | 33.1154i | −0.0294294 | − | 1.57159i | ||||
\(445\) | −34.0378 | − | 17.0944i | −1.61355 | − | 0.810354i | ||||
\(446\) | 2.35948 | + | 1.18498i | 0.111725 | + | 0.0561103i | ||||
\(447\) | 20.4646 | − | 12.3318i | 0.967943 | − | 0.583274i | ||||
\(448\) | 2.73256 | − | 2.89634i | 0.129101 | − | 0.136839i | ||||
\(449\) | −13.4520 | + | 11.2876i | −0.634838 | + | 0.532693i | −0.902428 | − | 0.430840i | \(-0.858217\pi\) |
0.267590 | + | 0.963533i | \(0.413773\pi\) | |||||||
\(450\) | 5.73242 | + | 1.13378i | 0.270229 | + | 0.0534468i | ||||
\(451\) | −17.4910 | − | 14.6767i | −0.823617 | − | 0.691097i | ||||
\(452\) | −9.70571 | + | 1.13444i | −0.456518 | + | 0.0533593i | ||||
\(453\) | 10.4719 | + | 2.92260i | 0.492013 | + | 0.137316i | ||||
\(454\) | 5.49981 | + | 5.82945i | 0.258119 | + | 0.273590i | ||||
\(455\) | 35.9966 | + | 4.20740i | 1.68755 | + | 0.197246i | ||||
\(456\) | 2.36209 | + | 17.3803i | 0.110615 | + | 0.813906i | ||||
\(457\) | 0.485445 | − | 8.33476i | 0.0227081 | − | 0.389884i | −0.967736 | − | 0.251967i | \(-0.918922\pi\) |
0.990444 | − | 0.137916i | \(-0.0440405\pi\) | |||||||
\(458\) | −1.47162 | − | 2.54891i | −0.0687641 | − | 0.119103i | ||||
\(459\) | 4.33640 | + | 2.18873i | 0.202406 | + | 0.102161i | ||||
\(460\) | −14.9867 | + | 25.9577i | −0.698758 | + | 1.21028i | ||||
\(461\) | −16.9937 | − | 11.1769i | −0.791475 | − | 0.520561i | 0.0882195 | − | 0.996101i | \(-0.471882\pi\) |
−0.879694 | + | 0.475540i | \(0.842253\pi\) | |||||||
\(462\) | 2.24265 | − | 10.3199i | 0.104337 | − | 0.480123i | ||||
\(463\) | −1.02559 | − | 2.37758i | −0.0476631 | − | 0.110496i | 0.892721 | − | 0.450610i | \(-0.148793\pi\) |
−0.940384 | + | 0.340114i | \(0.889534\pi\) | |||||||
\(464\) | 3.80136 | − | 0.900939i | 0.176474 | − | 0.0418250i | ||||
\(465\) | 1.46843 | − | 3.06570i | 0.0680970 | − | 0.142168i | ||||
\(466\) | −1.50951 | − | 2.02763i | −0.0699268 | − | 0.0939279i | ||||
\(467\) | 11.5019 | − | 4.18635i | 0.532244 | − | 0.193721i | −0.0618958 | − | 0.998083i | \(-0.519715\pi\) |
0.594140 | + | 0.804361i | \(0.297492\pi\) | |||||||
\(468\) | −2.74303 | + | 19.8841i | −0.126797 | + | 0.919145i | ||||
\(469\) | 40.2012 | + | 14.6320i | 1.85632 | + | 0.675645i | ||||
\(470\) | −1.49830 | − | 5.00468i | −0.0691116 | − | 0.230849i | ||||
\(471\) | 0.0933148 | − | 0.272128i | 0.00429972 | − | 0.0125390i | ||||
\(472\) | 0.610652 | + | 10.4845i | 0.0281075 | + | 0.482587i | ||||
\(473\) | −6.41295 | + | 4.21786i | −0.294868 | + | 0.193937i | ||||
\(474\) | −0.460417 | + | 0.570047i | −0.0211476 | + | 0.0261831i | ||||
\(475\) | 16.1981 | + | 3.83903i | 0.743221 | + | 0.176147i | ||||
\(476\) | 0.852437 | + | 4.83441i | 0.0390714 | + | 0.221585i | ||||
\(477\) | −10.8138 | − | 22.6930i | −0.495128 | − | 1.03904i | ||||
\(478\) | 2.86441 | − | 16.2449i | 0.131015 | − | 0.743024i | ||||
\(479\) | −10.8633 | + | 25.1839i | −0.496357 | + | 1.15068i | 0.467435 | + | 0.884027i | \(0.345178\pi\) |
−0.963792 | + | 0.266656i | \(0.914081\pi\) | |||||||
\(480\) | −24.7650 | + | 11.2371i | −1.13036 | + | 0.512902i | ||||
\(481\) | −13.0352 | + | 43.5405i | −0.594353 | + | 1.98528i | ||||
\(482\) | −8.46840 | + | 11.3750i | −0.385725 | + | 0.518118i | ||||
\(483\) | −33.3254 | − | 1.31550i | −1.51636 | − | 0.0598573i | ||||
\(484\) | −1.16893 | + | 0.587060i | −0.0531333 | + | 0.0266845i | ||||
\(485\) | 36.3120 | 1.64884 | ||||||||
\(486\) | −8.53192 | + | 2.34431i | −0.387016 | + | 0.106340i | ||||
\(487\) | −6.02417 | −0.272981 | −0.136491 | − | 0.990641i | \(-0.543582\pi\) | ||||
−0.136491 | + | 0.990641i | \(0.543582\pi\) | |||||||
\(488\) | −1.06453 | + | 0.534628i | −0.0481891 | + | 0.0242015i | ||||
\(489\) | 28.0398 | + | 1.10685i | 1.26800 | + | 0.0500536i | ||||
\(490\) | −2.75164 | + | 3.69610i | −0.124307 | + | 0.166973i | ||||
\(491\) | 0.139757 | − | 0.466819i | 0.00630713 | − | 0.0210673i | −0.954778 | − | 0.297320i | \(-0.903907\pi\) |
0.961085 | + | 0.276252i | \(0.0890925\pi\) | |||||||
\(492\) | −17.6054 | + | 7.98845i | −0.793714 | + | 0.360147i | ||||
\(493\) | −0.666364 | + | 1.54481i | −0.0300115 | + | 0.0695745i | ||||
\(494\) | 1.90671 | − | 10.8135i | 0.0857867 | − | 0.486521i | ||||
\(495\) | 16.9435 | − | 24.6335i | 0.761554 | − | 1.10719i | ||||
\(496\) | 0.254765 | + | 1.44484i | 0.0114393 | + | 0.0648754i | ||||
\(497\) | −40.6505 | − | 9.63434i | −1.82342 | − | 0.432159i | ||||
\(498\) | 2.24819 | − | 2.78351i | 0.100744 | − | 0.124732i | ||||
\(499\) | −4.58242 | + | 3.01391i | −0.205137 | + | 0.134921i | −0.647921 | − | 0.761708i | \(-0.724361\pi\) |
0.442784 | + | 0.896628i | \(0.353991\pi\) | |||||||
\(500\) | −0.444284 | − | 7.62806i | −0.0198690 | − | 0.341137i | ||||
\(501\) | 10.2678 | − | 29.9435i | 0.458733 | − | 1.33778i | ||||
\(502\) | 2.30705 | + | 7.70609i | 0.102969 | + | 0.343940i | ||||
\(503\) | 9.93090 | + | 3.61455i | 0.442797 | + | 0.161165i | 0.553790 | − | 0.832656i | \(-0.313181\pi\) |
−0.110993 | + | 0.993821i | \(0.535403\pi\) | |||||||
\(504\) | −15.4764 | − | 12.0283i | −0.689376 | − | 0.535784i | ||||
\(505\) | 16.3275 | − | 5.94271i | 0.726562 | − | 0.264447i | ||||
\(506\) | −7.15712 | − | 9.61368i | −0.318173 | − | 0.427380i | ||||
\(507\) | 2.17178 | − | 4.53410i | 0.0964522 | − | 0.201366i | ||||
\(508\) | −17.5356 | + | 4.15601i | −0.778015 | + | 0.184393i | ||||
\(509\) | −4.91402 | − | 11.3920i | −0.217810 | − | 0.504940i | 0.773920 | − | 0.633284i | \(-0.218293\pi\) |
−0.991730 | + | 0.128343i | \(0.959034\pi\) | |||||||
\(510\) | 0.566709 | − | 2.60779i | 0.0250943 | − | 0.115475i | ||||
\(511\) | 17.6402 | + | 11.6021i | 0.780355 | + | 0.513248i | ||||
\(512\) | 10.4003 | − | 18.0139i | 0.459634 | − | 0.796110i | ||||
\(513\) | −24.5387 | + | 5.76380i | −1.08341 | + | 0.254478i | ||||
\(514\) | 4.17162 | + | 7.22546i | 0.184002 | + | 0.318701i | ||||
\(515\) | −0.298604 | + | 5.12684i | −0.0131581 | + | 0.225915i | ||||
\(516\) | 0.875235 | + | 6.43997i | 0.0385301 | + | 0.283504i | ||||
\(517\) | −10.8051 | − | 1.26294i | −0.475209 | − | 0.0555440i | ||||
\(518\) | −13.8945 | − | 14.7273i | −0.610491 | − | 0.647082i | ||||
\(519\) | 31.4538 | + | 8.77842i | 1.38067 | + | 0.385330i | ||||
\(520\) | 24.0095 | − | 2.80630i | 1.05288 | − | 0.123064i | ||||
\(521\) | −13.6270 | − | 11.4344i | −0.597011 | − | 0.500952i | 0.293472 | − | 0.955968i | \(-0.405189\pi\) |
−0.890483 | + | 0.455016i | \(0.849634\pi\) | |||||||
\(522\) | −0.988230 | − | 2.90087i | −0.0432536 | − | 0.126968i | ||||
\(523\) | −10.4002 | + | 8.72680i | −0.454769 | + | 0.381596i | −0.841202 | − | 0.540721i | \(-0.818151\pi\) |
0.386433 | + | 0.922317i | \(0.373707\pi\) | |||||||
\(524\) | −8.24697 | + | 8.74128i | −0.360271 | + | 0.381865i | ||||
\(525\) | −15.9336 | + | 9.60144i | −0.695399 | + | 0.419041i | ||||
\(526\) | −8.31304 | − | 4.17497i | −0.362466 | − | 0.182037i | ||||
\(527\) | −0.564613 | − | 0.283560i | −0.0245949 | − | 0.0123520i | ||||
\(528\) | 0.241601 | + | 12.9019i | 0.0105143 | + | 0.561485i | ||||
\(529\) | −10.1908 | + | 10.8016i | −0.443079 | + | 0.469636i | ||||
\(530\) | −10.5795 | + | 8.87724i | −0.459543 | + | 0.385603i | ||||
\(531\) | −14.9145 | + | 2.31214i | −0.647232 | + | 0.100339i | ||||
\(532\) | −19.5141 | − | 16.3743i | −0.846045 | − | 0.709916i | ||||
\(533\) | 26.3500 | − | 3.07988i | 1.14135 | − | 0.133404i | ||||
\(534\) | −3.20845 | − | 12.4905i | −0.138843 | − | 0.540518i | ||||
\(535\) | −14.2526 | − | 15.1069i | −0.616194 | − | 0.653127i | ||||
\(536\) | 28.3418 | + | 3.31268i | 1.22418 | + | 0.143086i | ||||
\(537\) | 16.5043 | + | 6.75565i | 0.712215 | + | 0.291528i | ||||
\(538\) | −0.375006 | + | 6.43861i | −0.0161677 | + | 0.277588i | ||||
\(539\) | 4.79771 | + | 8.30987i | 0.206652 | + | 0.357931i | ||||
\(540\) | −12.6136 | − | 21.9491i | −0.542805 | − | 0.944537i | ||||
\(541\) | 13.6538 | − | 23.6492i | 0.587025 | − | 1.01676i | −0.407595 | − | 0.913163i | \(-0.633632\pi\) |
0.994620 | − | 0.103594i | \(-0.0330342\pi\) | |||||||
\(542\) | 1.31139 | + | 0.862517i | 0.0563291 | + | 0.0370483i | ||||
\(543\) | 1.35214 | − | 0.432548i | 0.0580257 | − | 0.0185624i | ||||
\(544\) | 2.00210 | + | 4.64139i | 0.0858394 | + | 0.198998i | ||||
\(545\) | 32.1319 | − | 7.61539i | 1.37638 | − | 0.326207i | ||||
\(546\) | 6.93350 | + | 10.1238i | 0.296726 | + | 0.433259i | ||||
\(547\) | 7.58248 | + | 10.1850i | 0.324204 | + | 0.435481i | 0.934106 | − | 0.356995i | \(-0.116199\pi\) |
−0.609903 | + | 0.792476i | \(0.708791\pi\) | |||||||
\(548\) | −13.6050 | + | 4.95181i | −0.581176 | + | 0.211531i | ||||
\(549\) | −0.910862 | − | 1.44948i | −0.0388747 | − | 0.0618621i | ||||
\(550\) | −6.28204 | − | 2.28648i | −0.267867 | − | 0.0974957i | ||||
\(551\) | −2.50390 | − | 8.36360i | −0.106670 | − | 0.356301i | ||||
\(552\) | −21.8310 | + | 4.27230i | −0.929187 | + | 0.181841i | ||||
\(553\) | −0.135638 | − | 2.32882i | −0.00576793 | − | 0.0990315i | ||||
\(554\) | 8.72397 | − | 5.73785i | 0.370646 | − | 0.243778i | ||||
\(555\) | −20.6101 | − | 53.4879i | −0.874849 | − | 2.27043i | ||||
\(556\) | 9.63092 | + | 2.28257i | 0.408442 | + | 0.0968025i | ||||
\(557\) | 2.62356 | + | 14.8789i | 0.111164 | + | 0.630441i | 0.988578 | + | 0.150708i | \(0.0481553\pi\) |
−0.877415 | + | 0.479733i | \(0.840734\pi\) | |||||||
\(558\) | 1.10915 | − | 0.307154i | 0.0469540 | − | 0.0130029i | ||||
\(559\) | 1.54866 | − | 8.78288i | 0.0655013 | − | 0.371476i | ||||
\(560\) | 7.81380 | − | 18.1144i | 0.330193 | − | 0.765474i | ||||
\(561\) | −4.51889 | − | 3.23447i | −0.190788 | − | 0.136560i | ||||
\(562\) | 1.74727 | − | 5.83630i | 0.0737043 | − | 0.246189i | ||||
\(563\) | 3.66195 | − | 4.91886i | 0.154333 | − | 0.207305i | −0.718231 | − | 0.695804i | \(-0.755048\pi\) |
0.872564 | + | 0.488499i | \(0.162455\pi\) | |||||||
\(564\) | −4.91667 | + | 7.78928i | −0.207029 | + | 0.327988i | ||||
\(565\) | −15.1127 | + | 7.58990i | −0.635798 | + | 0.319310i | ||||
\(566\) | 8.11223 | 0.340982 | ||||||||
\(567\) | 15.0832 | − | 23.7898i | 0.633434 | − | 0.999076i | ||||
\(568\) | −27.8646 | −1.16917 | ||||||||
\(569\) | 1.32201 | − | 0.663940i | 0.0554217 | − | 0.0278338i | −0.420872 | − | 0.907120i | \(-0.638276\pi\) |
0.476294 | + | 0.879286i | \(0.341980\pi\) | |||||||
\(570\) | 6.44571 | + | 12.2568i | 0.269981 | + | 0.513379i | ||||
\(571\) | 5.26460 | − | 7.07158i | 0.220317 | − | 0.295936i | −0.678199 | − | 0.734878i | \(-0.737239\pi\) |
0.898515 | + | 0.438942i | \(0.144647\pi\) | |||||||
\(572\) | 6.58611 | − | 21.9991i | 0.275379 | − | 0.919830i | ||||
\(573\) | 0.129167 | − | 1.31880i | 0.00539602 | − | 0.0550935i | ||||
\(574\) | −4.68106 | + | 10.8519i | −0.195384 | + | 0.452950i | ||||
\(575\) | −3.66611 | + | 20.7915i | −0.152887 | + | 0.867066i | ||||
\(576\) | 3.47252 | + | 1.58406i | 0.144688 | + | 0.0660026i | ||||
\(577\) | 2.48608 | + | 14.0993i | 0.103497 | + | 0.586960i | 0.991810 | + | 0.127722i | \(0.0407665\pi\) |
−0.888313 | + | 0.459238i | \(0.848122\pi\) | |||||||
\(578\) | 8.90659 | + | 2.11090i | 0.370465 | + | 0.0878018i | ||||
\(579\) | −16.0065 | − | 2.51434i | −0.665209 | − | 0.104493i | ||||
\(580\) | 7.32559 | − | 4.81812i | 0.304179 | − | 0.200062i | ||||
\(581\) | 0.662315 | + | 11.3715i | 0.0274775 | + | 0.471770i | ||||
\(582\) | 8.07756 | + | 9.26836i | 0.334826 | + | 0.384186i | ||||
\(583\) | 8.24814 | + | 27.5507i | 0.341603 | + | 1.14103i | ||||
\(584\) | 13.2333 | + | 4.81654i | 0.547599 | + | 0.199310i | ||||
\(585\) | 7.30885 | + | 33.9609i | 0.302184 | + | 1.40411i | ||||
\(586\) | −11.6521 | + | 4.24102i | −0.481344 | + | 0.175195i | ||||
\(587\) | −5.09890 | − | 6.84901i | −0.210454 | − | 0.282689i | 0.684345 | − | 0.729159i | \(-0.260088\pi\) |
−0.894799 | + | 0.446470i | \(0.852681\pi\) | |||||||
\(588\) | 8.10063 | − | 0.624180i | 0.334064 | − | 0.0257408i | ||||
\(589\) | 3.19028 | − | 0.756110i | 0.131453 | − | 0.0311550i | ||||
\(590\) | 3.28421 | + | 7.61364i | 0.135209 | + | 0.313449i | ||||
\(591\) | 1.43548 | + | 1.30438i | 0.0590476 | + | 0.0536549i | ||||
\(592\) | 20.6702 | + | 13.5950i | 0.849539 | + | 0.558751i | ||||
\(593\) | −19.8740 | + | 34.4227i | −0.816125 | + | 1.41357i | 0.0923915 | + | 0.995723i | \(0.470549\pi\) |
−0.908517 | + | 0.417848i | \(0.862784\pi\) | |||||||
\(594\) | 10.0566 | − | 1.15500i | 0.412627 | − | 0.0473902i | ||||
\(595\) | 4.24788 | + | 7.35754i | 0.174146 | + | 0.301630i | ||||
\(596\) | −1.34576 | + | 23.1057i | −0.0551243 | + | 0.946448i | ||||
\(597\) | 10.5202 | − | 8.14251i | 0.430563 | − | 0.333251i | ||||
\(598\) | 13.8315 | + | 1.61667i | 0.565613 | + | 0.0661106i | ||||
\(599\) | 13.9840 | + | 14.8221i | 0.571370 | + | 0.605616i | 0.947032 | − | 0.321140i | \(-0.104066\pi\) |
−0.375662 | + | 0.926757i | \(0.622585\pi\) | |||||||
\(600\) | −8.86423 | + | 8.68235i | −0.361881 | + | 0.354455i | ||||
\(601\) | 13.5963 | − | 1.58918i | 0.554604 | − | 0.0648239i | 0.165825 | − | 0.986155i | \(-0.446971\pi\) |
0.388779 | + | 0.921331i | \(0.372897\pi\) | |||||||
\(602\) | 3.04350 | + | 2.55380i | 0.124044 | + | 0.104085i | ||||
\(603\) | −0.850016 | + | 40.9980i | −0.0346153 | + | 1.66957i | ||||
\(604\) | −8.06774 | + | 6.76964i | −0.328272 | + | 0.275453i | ||||
\(605\) | −1.55352 | + | 1.64664i | −0.0631597 | + | 0.0669453i | ||||
\(606\) | 5.14886 | + | 2.84551i | 0.209158 | + | 0.115591i | ||||
\(607\) | −4.02143 | − | 2.01964i | −0.163225 | − | 0.0819745i | 0.365311 | − | 0.930885i | \(-0.380963\pi\) |
−0.528536 | + | 0.848911i | \(0.677259\pi\) | |||||||
\(608\) | −23.4405 | − | 11.7722i | −0.950636 | − | 0.477427i | ||||
\(609\) | 8.53897 | + | 4.71906i | 0.346016 | + | 0.191226i | ||||
\(610\) | −0.645420 | + | 0.684105i | −0.0261323 | + | 0.0276986i | ||||
\(611\) | 9.68275 | − | 8.12479i | 0.391722 | − | 0.328694i | ||||
\(612\) | −4.12287 | + | 2.26771i | −0.166657 | + | 0.0916669i | ||||
\(613\) | 27.4040 | + | 22.9947i | 1.10684 | + | 0.928746i | 0.997866 | − | 0.0652986i | \(-0.0208000\pi\) |
0.108971 | + | 0.994045i | \(0.465244\pi\) | |||||||
\(614\) | 17.1807 | − | 2.00814i | 0.693357 | − | 0.0810418i | ||||
\(615\) | −23.9029 | + | 23.4125i | −0.963858 | + | 0.944081i | ||||
\(616\) | 15.3887 | + | 16.3110i | 0.620027 | + | 0.657190i | ||||
\(617\) | −27.3964 | − | 3.20218i | −1.10294 | − | 0.128915i | −0.454913 | − | 0.890536i | \(-0.650330\pi\) |
−0.648023 | + | 0.761621i | \(0.724404\pi\) | |||||||
\(618\) | −1.37501 | + | 1.06424i | −0.0553111 | + | 0.0428101i | ||||
\(619\) | 1.94367 | − | 33.3715i | 0.0781227 | − | 1.34131i | −0.700424 | − | 0.713727i | \(-0.747006\pi\) |
0.778546 | − | 0.627587i | \(-0.215957\pi\) | |||||||
\(620\) | 1.64640 | + | 2.85165i | 0.0661211 | + | 0.114525i | ||||
\(621\) | −9.10707 | − | 30.6434i | −0.365454 | − | 1.22968i | ||||
\(622\) | 7.69456 | − | 13.3274i | 0.308524 | − | 0.534379i | ||||
\(623\) | 34.3009 | + | 22.5601i | 1.37424 | + | 0.903850i | ||||
\(624\) | −11.0965 | − | 10.0831i | −0.444216 | − | 0.403646i | ||||
\(625\) | −12.0337 | − | 27.8973i | −0.481349 | − | 1.11589i | ||||
\(626\) | 4.47722 | − | 1.06112i | 0.178946 | − | 0.0424109i | ||||
\(627\) | 28.7523 | − | 2.21546i | 1.14825 | − | 0.0884768i | ||||
\(628\) | 0.166414 | + | 0.223532i | 0.00664063 | + | 0.00891991i | ||||
\(629\) | −10.0118 | + | 3.64400i | −0.399197 | + | 0.145296i | ||||
\(630\) | −14.7302 | − | 4.74478i | −0.586864 | − | 0.189036i | ||||
\(631\) | 10.2732 | + | 3.73914i | 0.408970 | + | 0.148853i | 0.538309 | − | 0.842748i | \(-0.319063\pi\) |
−0.129339 | + | 0.991600i | \(0.541286\pi\) | |||||||
\(632\) | −0.446247 | − | 1.49057i | −0.0177508 | − | 0.0592917i | ||||
\(633\) | 11.6499 | + | 13.3673i | 0.463042 | + | 0.531304i | ||||
\(634\) | −0.640898 | − | 11.0038i | −0.0254533 | − | 0.437016i | ||||
\(635\) | −26.0578 | + | 17.1385i | −1.03407 | + | 0.680120i | ||||
\(636\) | 24.0558 | + | 3.77874i | 0.953873 | + | 0.149837i | ||||
\(637\) | −10.8484 | − | 2.57111i | −0.429828 | − | 0.101871i | ||||
\(638\) | 0.608816 | + | 3.45277i | 0.0241032 | + | 0.136696i | ||||
\(639\) | −3.82336 | − | 39.8609i | −0.151250 | − | 1.57687i | ||||
\(640\) | 5.81708 | − | 32.9903i | 0.229940 | − | 1.30406i | ||||
\(641\) | −3.68962 | + | 8.55350i | −0.145731 | + | 0.337843i | −0.975410 | − | 0.220398i | \(-0.929264\pi\) |
0.829679 | + | 0.558241i | \(0.188524\pi\) | |||||||
\(642\) | 0.685442 | − | 6.99838i | 0.0270522 | − | 0.276204i | ||||
\(643\) | −0.369260 | + | 1.23341i | −0.0145622 | + | 0.0486411i | −0.964962 | − | 0.262390i | \(-0.915489\pi\) |
0.950400 | + | 0.311031i | \(0.100674\pi\) | |||||||
\(644\) | 19.2925 | − | 25.9143i | 0.760230 | − | 1.02117i | ||||
\(645\) | 5.23532 | + | 9.95514i | 0.206140 | + | 0.391983i | ||||
\(646\) | 2.30020 | − | 1.15521i | 0.0905003 | − | 0.0454510i | ||||
\(647\) | −25.7409 | −1.01198 | −0.505989 | − | 0.862540i | \(-0.668872\pi\) | ||||
−0.505989 | + | 0.862540i | \(0.668872\pi\) | |||||||
\(648\) | 6.12986 | − | 17.7599i | 0.240804 | − | 0.697677i | ||||
\(649\) | 17.2667 | 0.677776 | ||||||||
\(650\) | 6.94132 | − | 3.48606i | 0.272261 | − | 0.136735i | ||||
\(651\) | −1.95568 | + | 3.09831i | −0.0766492 | + | 0.121432i | ||||
\(652\) | −16.2326 | + | 21.8041i | −0.635716 | + | 0.853915i | ||||
\(653\) | 11.1737 | − | 37.3227i | 0.437259 | − | 1.46055i | −0.401405 | − | 0.915900i | \(-0.631478\pi\) |
0.838665 | − | 0.544648i | \(-0.183337\pi\) | |||||||
\(654\) | 9.09147 | + | 6.50738i | 0.355505 | + | 0.254459i | ||||
\(655\) | −8.23778 | + | 19.0973i | −0.321877 | + | 0.746194i | ||||
\(656\) | 2.50766 | − | 14.2217i | 0.0979077 | − | 0.555262i | ||||
\(657\) | −5.07437 | + | 19.5914i | −0.197970 | + | 0.764333i | ||||
\(658\) | 0.977797 | + | 5.54536i | 0.0381185 | + | 0.216181i | ||||
\(659\) | −32.6776 | − | 7.74473i | −1.27294 | − | 0.301692i | −0.462029 | − | 0.886865i | \(-0.652878\pi\) |
−0.810908 | + | 0.585173i | \(0.801027\pi\) | |||||||
\(660\) | 10.4134 | + | 27.0251i | 0.405340 | + | 1.05195i | ||||
\(661\) | −29.6045 | + | 19.4712i | −1.15148 | + | 0.757342i | −0.973948 | − | 0.226773i | \(-0.927183\pi\) |
−0.177535 | + | 0.984115i | \(0.556812\pi\) | |||||||
\(662\) | 0.0655685 | + | 1.12577i | 0.00254839 | + | 0.0437542i | ||||
\(663\) | 6.33667 | − | 1.24008i | 0.246096 | − | 0.0481607i | ||||
\(664\) | 2.17901 | + | 7.27838i | 0.0845618 | + | 0.282456i | ||||
\(665\) | −41.4278 | − | 15.0785i | −1.60650 | − | 0.584718i | ||||
\(666\) | 9.06770 | − | 17.1589i | 0.351366 | − | 0.664894i | ||||
\(667\) | 10.4045 | − | 3.78693i | 0.402864 | − | 0.146630i | ||||
\(668\) | 18.3112 | + | 24.5963i | 0.708483 | + | 0.951658i | ||||
\(669\) | −4.55261 | − | 6.64740i | −0.176014 | − | 0.257003i | ||||
\(670\) | 21.9216 | − | 5.19551i | 0.846905 | − | 0.200720i | ||||
\(671\) | 0.775727 | + | 1.79834i | 0.0299466 | + | 0.0694241i | ||||
\(672\) | 27.9189 | − | 8.93125i | 1.07700 | − | 0.344530i | ||||
\(673\) | −22.9529 | − | 15.0964i | −0.884771 | − | 0.581923i | 0.0237705 | − | 0.999717i | \(-0.492433\pi\) |
−0.908542 | + | 0.417794i | \(0.862803\pi\) | |||||||
\(674\) | −5.20938 | + | 9.02292i | −0.200658 | + | 0.347550i | ||||
\(675\) | −13.6365 | − | 11.4891i | −0.524870 | − | 0.442216i | ||||
\(676\) | 2.43499 | + | 4.21753i | 0.0936536 | + | 0.162213i | ||||
\(677\) | 0.555469 | − | 9.53704i | 0.0213484 | − | 0.366538i | −0.970668 | − | 0.240426i | \(-0.922713\pi\) |
0.992016 | − | 0.126112i | \(-0.0402500\pi\) | |||||||
\(678\) | −5.29908 | − | 2.16905i | −0.203510 | − | 0.0833018i | ||||
\(679\) | −38.8746 | − | 4.54379i | −1.49187 | − | 0.174375i | ||||
\(680\) | 3.88866 | + | 4.12174i | 0.149123 | + | 0.158061i | ||||
\(681\) | −6.08445 | − | 23.6868i | −0.233157 | − | 0.907682i | ||||
\(682\) | −1.30777 | + | 0.152857i | −0.0500772 | + | 0.00585319i | ||||
\(683\) | 25.4573 | + | 21.3612i | 0.974095 | + | 0.817363i | 0.983188 | − | 0.182596i | \(-0.0584500\pi\) |
−0.00909301 | + | 0.999959i | \(0.502894\pi\) | |||||||
\(684\) | 8.82503 | − | 22.7667i | 0.337434 | − | 0.870508i | ||||
\(685\) | −19.1945 | + | 16.1061i | −0.733383 | + | 0.615381i | ||||
\(686\) | −5.12547 | + | 5.43268i | −0.195691 | + | 0.207421i | ||||
\(687\) | 0.168153 | + | 8.97967i | 0.00641543 | + | 0.342596i | ||||
\(688\) | −4.33826 | − | 2.17876i | −0.165395 | − | 0.0830643i | ||||
\(689\) | −29.8606 | − | 14.9966i | −1.13760 | − | 0.571324i | ||||
\(690\) | −15.0429 | + | 9.06474i | −0.572675 | + | 0.345089i | ||||
\(691\) | 3.72605 | − | 3.94938i | 0.141746 | − | 0.150242i | −0.652611 | − | 0.757693i | \(-0.726327\pi\) |
0.794357 | + | 0.607451i | \(0.207808\pi\) | |||||||
\(692\) | −24.2325 | + | 20.3335i | −0.921183 | + | 0.772964i | ||||
\(693\) | −21.2217 | + | 24.2518i | −0.806146 | + | 0.921251i | ||||
\(694\) | −11.6460 | − | 9.77218i | −0.442077 | − | 0.370947i | ||||
\(695\) | 17.0137 | − | 1.98862i | 0.645366 | − | 0.0754325i | ||||
\(696\) | 6.26778 | + | 1.74927i | 0.237580 | + | 0.0663060i | ||||
\(697\) | 4.26775 | + | 4.52355i | 0.161652 | + | 0.171342i | ||||
\(698\) | −7.39072 | − | 0.863851i | −0.279743 | − | 0.0326972i | ||||
\(699\) | 1.03878 | + | 7.64336i | 0.0392904 | + | 0.289098i | ||||
\(700\) | 1.04779 | − | 17.9899i | 0.0396029 | − | 0.679956i | ||||
\(701\) | −16.8694 | − | 29.2187i | −0.637150 | − | 1.10358i | −0.986055 | − | 0.166418i | \(-0.946780\pi\) |
0.348906 | − | 0.937158i | \(-0.386553\pi\) | |||||||
\(702\) | −7.04242 | + | 9.42009i | −0.265799 | + | 0.355539i | ||||
\(703\) | 27.6440 | − | 47.8808i | 1.04261 | − | 1.80586i | ||||
\(704\) | −3.64821 | − | 2.39946i | −0.137497 | − | 0.0904332i | ||||
\(705\) | −3.38528 | + | 15.5778i | −0.127497 | + | 0.586696i | ||||
\(706\) | 4.36930 | + | 10.1292i | 0.164441 | + | 0.381216i | ||||
\(707\) | −18.2234 | + | 4.31902i | −0.685360 | + | 0.162433i | ||||
\(708\) | 6.31571 | − | 13.1855i | 0.237359 | − | 0.495542i | ||||
\(709\) | −11.5762 | − | 15.5495i | −0.434754 | − | 0.583975i | 0.529714 | − | 0.848176i | \(-0.322299\pi\) |
−0.964468 | + | 0.264201i | \(0.914892\pi\) | |||||||
\(710\) | −20.6730 | + | 7.52437i | −0.775846 | + | 0.282385i | ||||
\(711\) | 2.07106 | − | 0.842889i | 0.0776707 | − | 0.0316108i | ||||
\(712\) | 25.7319 | + | 9.36564i | 0.964343 | + | 0.350992i | ||||
\(713\) | 1.19257 | + | 3.98345i | 0.0446620 | + | 0.149181i | ||||
\(714\) | −0.933022 | + | 2.72092i | −0.0349175 | + | 0.101828i | ||||
\(715\) | −2.31082 | − | 39.6753i | −0.0864198 | − | 1.48377i | ||||
\(716\) | −14.4331 | + | 9.49282i | −0.539391 | + | 0.354763i | ||||
\(717\) | −31.6276 | + | 39.1585i | −1.18116 | + | 1.46240i | ||||
\(718\) | 8.10592 | + | 1.92114i | 0.302510 | + | 0.0716963i | ||||
\(719\) | −0.831346 | − | 4.71480i | −0.0310040 | − | 0.175832i | 0.965374 | − | 0.260871i | \(-0.0840097\pi\) |
−0.996378 | + | 0.0850387i | \(0.972899\pi\) | |||||||
\(720\) | 18.8507 | + | 1.49057i | 0.702526 | + | 0.0555501i | ||||
\(721\) | 0.961210 | − | 5.45129i | 0.0357973 | − | 0.203017i | ||||
\(722\) | −1.01892 | + | 2.36211i | −0.0379201 | + | 0.0879087i | ||||
\(723\) | 39.4067 | − | 17.8807i | 1.46555 | − | 0.664992i | ||||
\(724\) | −0.394408 | + | 1.31742i | −0.0146581 | + | 0.0489614i | ||||
\(725\) | 3.68801 | − | 4.95385i | 0.136969 | − | 0.183982i | ||||
\(726\) | −0.765871 | − | 0.0302323i | −0.0284241 | − | 0.00112203i | ||||
\(727\) | −6.75608 | + | 3.39303i | −0.250569 | + | 0.125841i | −0.569651 | − | 0.821887i | \(-0.692922\pi\) |
0.319082 | + | 0.947727i | \(0.396625\pi\) | |||||||
\(728\) | −26.0550 | −0.965664 | ||||||||
\(729\) | 26.2470 | + | 6.33200i | 0.972112 | + | 0.234519i | ||||
\(730\) | 11.1186 | 0.411516 | ||||||||
\(731\) | 1.86826 | − | 0.938278i | 0.0691003 | − | 0.0347035i | ||||
\(732\) | 1.65702 | + | 0.0654100i | 0.0612454 | + | 0.00241762i | ||||
\(733\) | 23.0749 | − | 30.9950i | 0.852292 | − | 1.14483i | −0.135766 | − | 0.990741i | \(-0.543349\pi\) |
0.988057 | − | 0.154086i | \(-0.0492432\pi\) | |||||||
\(734\) | −1.78974 | + | 5.97815i | −0.0660605 | + | 0.220657i | ||||
\(735\) | 12.8044 | − | 5.81001i | 0.472299 | − | 0.214305i | ||||
\(736\) | 13.1763 | − | 30.5460i | 0.485684 | − | 1.12594i | ||||
\(737\) | 8.14649 | − | 46.2010i | 0.300080 | − | 1.70184i | ||||
\(738\) | −11.2930 | − | 0.892962i | −0.415702 | − | 0.0328704i | ||||
\(739\) | −8.79173 | − | 49.8604i | −0.323409 | − | 1.83414i | −0.520627 | − | 0.853784i | \(-0.674302\pi\) |
0.197218 | − | 0.980360i | \(-0.436809\pi\) | |||||||
\(740\) | 54.0299 | + | 12.8053i | 1.98618 | + | 0.470733i | ||||
\(741\) | −21.0530 | + | 26.0660i | −0.773403 | + | 0.957558i | ||||
\(742\) | 12.4369 | − | 8.17991i | 0.456575 | − | 0.300294i | ||||
\(743\) | −0.892750 | − | 15.3279i | −0.0327518 | − | 0.562327i | −0.974273 | − | 0.225372i | \(-0.927640\pi\) |
0.941521 | − | 0.336955i | \(-0.109397\pi\) | |||||||
\(744\) | −0.792685 | + | 2.31166i | −0.0290612 | + | 0.0847496i | ||||
\(745\) | 11.4881 | + | 38.3730i | 0.420893 | + | 1.40588i | ||||
\(746\) | −10.8906 | − | 3.96386i | −0.398733 | − | 0.145127i | ||||
\(747\) | −10.1129 | + | 4.11579i | −0.370011 | + | 0.150589i | ||||
\(748\) | 5.05853 | − | 1.84116i | 0.184958 | − | 0.0673193i | ||||
\(749\) | 13.3681 | + | 17.9565i | 0.488460 | + | 0.656115i | ||||
\(750\) | 1.93413 | − | 4.03795i | 0.0706245 | − | 0.147445i | ||||
\(751\) | −45.3980 | + | 10.7595i | −1.65660 | + | 0.392621i | −0.949319 | − | 0.314314i | \(-0.898225\pi\) |
−0.707278 | + | 0.706935i | \(0.750077\pi\) | |||||||
\(752\) | −2.72520 | − | 6.31772i | −0.0993778 | − | 0.230384i | ||||
\(753\) | 5.21258 | − | 23.9864i | 0.189957 | − | 0.874113i | ||||
\(754\) | −3.40348 | − | 2.23851i | −0.123948 | − | 0.0815216i | ||||
\(755\) | −9.11335 | + | 15.7848i | −0.331669 | + | 0.574467i | ||||
\(756\) | 10.7573 | + | 25.0764i | 0.391239 | + | 0.912022i | ||||
\(757\) | 5.85224 | + | 10.1364i | 0.212703 | + | 0.368413i | 0.952560 | − | 0.304352i | \(-0.0984399\pi\) |
−0.739856 | + | 0.672765i | \(0.765107\pi\) | |||||||
\(758\) | 0.859106 | − | 14.7503i | 0.0312041 | − | 0.535754i | ||||
\(759\) | 4.92523 | + | 36.2398i | 0.178775 | + | 1.31542i | ||||
\(760\) | −29.2065 | − | 3.41375i | −1.05943 | − | 0.123830i | ||||
\(761\) | −17.9650 | − | 19.0418i | −0.651232 | − | 0.690265i | 0.314662 | − | 0.949204i | \(-0.398109\pi\) |
−0.965894 | + | 0.258938i | \(0.916627\pi\) | |||||||
\(762\) | −10.1710 | − | 2.83862i | −0.368456 | − | 0.102832i | ||||
\(763\) | −35.3524 | + | 4.13211i | −1.27984 | + | 0.149592i | ||||
\(764\) | 0.983309 | + | 0.825094i | 0.0355749 | + | 0.0298509i | ||||
\(765\) | −5.36265 | + | 6.12835i | −0.193887 | + | 0.221571i | ||||
\(766\) | 10.2314 | − | 8.58519i | 0.369676 | − | 0.310195i | ||||
\(767\) | −13.7675 | + | 14.5927i | −0.497114 | + | 0.526910i | ||||
\(768\) | 5.93970 | − | 3.57921i | 0.214330 | − | 0.129154i | ||||
\(769\) | 40.6989 | + | 20.4398i | 1.46764 | + | 0.737077i | 0.989946 | − | 0.141448i | \(-0.0451758\pi\) |
0.477696 | + | 0.878525i | \(0.341472\pi\) | |||||||
\(770\) | 15.8215 | + | 7.94586i | 0.570168 | + | 0.286349i | ||||
\(771\) | −0.476666 | − | 25.4549i | −0.0171667 | − | 0.916735i | ||||
\(772\) | 10.7709 | − | 11.4165i | 0.387653 | − | 0.410889i | ||||
\(773\) | 10.7154 | − | 8.99131i | 0.385407 | − | 0.323395i | −0.429414 | − | 0.903108i | \(-0.641280\pi\) |
0.814821 | + | 0.579713i | \(0.196835\pi\) | |||||||
\(774\) | −1.37639 | + | 3.55079i | −0.0494732 | + | 0.127630i | ||||
\(775\) | 1.77672 | + | 1.49085i | 0.0638217 | + | 0.0535528i | ||||
\(776\) | −25.9291 | + | 3.03067i | −0.930799 | + | 0.108795i | ||||
\(777\) | 15.3716 | + | 59.8417i | 0.551451 | + | 2.14681i | ||||
\(778\) | −12.8814 | − | 13.6535i | −0.461822 | − | 0.489503i | ||||
\(779\) | −32.0537 | − | 3.74654i | −1.14844 | − | 0.134234i | ||||
\(780\) | −31.1429 | − | 12.7476i | −1.11509 | − | 0.456436i | ||||
\(781\) | −2.66373 | + | 45.7345i | −0.0953159 | + | 1.63651i | ||||
\(782\) | 1.63223 | + | 2.82710i | 0.0583683 | + | 0.101097i | ||||
\(783\) | −1.64235 | + | 9.20619i | −0.0586929 | + | 0.329003i | ||||
\(784\) | −3.03440 | + | 5.25573i | −0.108371 | + | 0.187705i | ||||
\(785\) | 0.402948 | + | 0.265023i | 0.0143818 | + | 0.00945909i | ||||
\(786\) | −6.70694 | + | 2.14555i | −0.239229 | + | 0.0765291i | ||||
\(787\) | 5.62542 | + | 13.0412i | 0.200525 | + | 0.464869i | 0.988573 | − | 0.150745i | \(-0.0481674\pi\) |
−0.788048 | + | 0.615614i | \(0.788908\pi\) | |||||||
\(788\) | −1.82821 | + | 0.433295i | −0.0651274 | + | 0.0154355i | ||||
\(789\) | 16.0400 | + | 23.4204i | 0.571038 | + | 0.833789i | ||||
\(790\) | −0.733578 | − | 0.985367i | −0.0260995 | − | 0.0350578i | ||||
\(791\) | 17.1290 | − | 6.23446i | 0.609039 | − | 0.221672i | ||||
\(792\) | −10.0428 | + | 19.0040i | −0.356854 | + | 0.675279i | ||||
\(793\) | −2.13836 | − | 0.778298i | −0.0759353 | − | 0.0276382i | ||||
\(794\) | −0.00900064 | − | 0.0300642i | −0.000319421 | − | 0.00106694i | ||||
\(795\) | 41.3582 | − | 8.09376i | 1.46682 | − | 0.287056i | ||||
\(796\) | 0.749293 | + | 12.8649i | 0.0265580 | + | 0.455983i | ||||
\(797\) | 34.5075 | − | 22.6959i | 1.22232 | − | 0.803931i | 0.236480 | − | 0.971636i | \(-0.424006\pi\) |
0.985837 | + | 0.167705i | \(0.0536357\pi\) | |||||||
\(798\) | −5.36689 | − | 13.9283i | −0.189986 | − | 0.493057i | ||||
\(799\) | 2.88318 | + | 0.683326i | 0.102000 | + | 0.0241743i | ||||
\(800\) | −3.22216 | − | 18.2738i | −0.113921 | − | 0.646075i | ||||
\(801\) | −9.86700 | + | 38.0950i | −0.348633 | + | 1.34602i | ||||
\(802\) | 2.82324 | − | 16.0114i | 0.0996920 | − | 0.565381i | ||||
\(803\) | 9.17048 | − | 21.2596i | 0.323619 | − | 0.750234i | ||||
\(804\) | −32.3012 | − | 23.1202i | −1.13917 | − | 0.815385i | ||||
\(805\) | 16.0359 | − | 53.5636i | 0.565190 | − | 1.88787i | ||||
\(806\) | 0.913559 | − | 1.22712i | 0.0321787 | − | 0.0432236i | ||||
\(807\) | 10.5049 | − | 16.6425i | 0.369791 | − | 0.585845i | ||||
\(808\) | −11.1629 | + | 5.60619i | −0.392708 | + | 0.197225i | ||||
\(809\) | 23.8379 | 0.838097 | 0.419048 | − | 0.907964i | \(-0.362364\pi\) | ||||
0.419048 | + | 0.907964i | \(0.362364\pi\) | |||||||
\(810\) | −0.247967 | − | 14.8315i | −0.00871268 | − | 0.521127i | ||||
\(811\) | −3.33188 | −0.116998 | −0.0584991 | − | 0.998287i | \(-0.518631\pi\) | ||||
−0.0584991 | + | 0.998287i | \(0.518631\pi\) | |||||||
\(812\) | −8.44549 | + | 4.24148i | −0.296378 | + | 0.148847i | ||||
\(813\) | −2.22936 | − | 4.23920i | −0.0781869 | − | 0.148675i | ||||
\(814\) | −13.2588 | + | 17.8096i | −0.464720 | + | 0.624227i | ||||
\(815\) | −13.4925 | + | 45.0680i | −0.472621 | + | 1.57866i | ||||
\(816\) | 0.342604 | − | 3.49800i | 0.0119936 | − | 0.122454i | ||||
\(817\) | −4.29700 | + | 9.96157i | −0.150333 | + | 0.348511i | ||||
\(818\) | −3.09855 | + | 17.5727i | −0.108338 | + | 0.614417i | ||||
\(819\) | −3.57506 | − | 37.2722i | −0.124923 | − | 1.30240i | ||||
\(820\) | −5.62815 | − | 31.9188i | −0.196543 | − | 1.11465i | ||||
\(821\) | 8.73468 | + | 2.07016i | 0.304842 | + | 0.0722490i | 0.380190 | − | 0.924908i | \(-0.375859\pi\) |
−0.0753477 | + | 0.997157i | \(0.524007\pi\) | |||||||
\(822\) | −8.38074 | − | 1.31647i | −0.292312 | − | 0.0459171i | ||||
\(823\) | 1.08458 | − | 0.713338i | 0.0378060 | − | 0.0248654i | −0.530465 | − | 0.847707i | \(-0.677983\pi\) |
0.568271 | + | 0.822841i | \(0.307612\pi\) | |||||||
\(824\) | −0.214674 | − | 3.68581i | −0.00747852 | − | 0.128401i | ||||
\(825\) | 13.4031 | + | 15.3790i | 0.466635 | + | 0.535426i | ||||
\(826\) | −2.56327 | − | 8.56192i | −0.0891876 | − | 0.297907i | ||||
\(827\) | 29.6308 | + | 10.7847i | 1.03036 | + | 0.375022i | 0.801219 | − | 0.598371i | \(-0.204185\pi\) |
0.229144 | + | 0.973392i | \(0.426407\pi\) | |||||||
\(828\) | 29.4757 | + | 9.49450i | 1.02435 | + | 0.329957i | ||||
\(829\) | −25.1437 | + | 9.15156i | −0.873277 | + | 0.317847i | −0.739493 | − | 0.673164i | \(-0.764935\pi\) |
−0.133783 | + | 0.991011i | \(0.542713\pi\) | |||||||
\(830\) | 3.58203 | + | 4.81150i | 0.124334 | + | 0.167010i | ||||
\(831\) | −31.7688 | + | 2.44789i | −1.10205 | + | 0.0849164i | ||||
\(832\) | 4.93674 | − | 1.17003i | 0.171151 | − | 0.0405634i | ||||
\(833\) | −1.03516 | − | 2.39977i | −0.0358662 | − | 0.0831472i | ||||
\(834\) | 4.29226 | + | 3.90025i | 0.148629 | + | 0.135055i | ||||
\(835\) | 44.3382 | + | 29.1617i | 1.53439 | + | 1.00918i | ||||
\(836\) | −13.9673 | + | 24.1921i | −0.483069 | + | 0.836700i | ||||
\(837\) | −3.41564 | − | 0.816763i | −0.118062 | − | 0.0282315i | ||||
\(838\) | −0.957629 | − | 1.65866i | −0.0330807 | − | 0.0572975i | ||||
\(839\) | −0.225566 | + | 3.87282i | −0.00778740 | + | 0.133705i | 0.992174 | + | 0.124867i | \(0.0398503\pi\) |
−0.999961 | + | 0.00883795i | \(0.997187\pi\) | |||||||
\(840\) | 25.9862 | − | 20.1130i | 0.896608 | − | 0.693964i | ||||
\(841\) | 25.5869 | + | 2.99068i | 0.882306 | + | 0.103127i | ||||
\(842\) | 9.84058 | + | 10.4304i | 0.339129 | + | 0.359455i | ||||
\(843\) | −13.2809 | + | 13.0084i | −0.457420 | + | 0.448034i | ||||
\(844\) | −17.0602 | + | 1.99405i | −0.587236 | + | 0.0686380i | ||||
\(845\) | 6.45643 | + | 5.41758i | 0.222108 | + | 0.186371i | ||||
\(846\) | −4.72918 | + | 2.60121i | −0.162593 | + | 0.0894313i | ||||
\(847\) | 1.86921 | − | 1.56845i | 0.0642267 | − | 0.0538926i | ||||
\(848\) | −12.4821 | + | 13.2303i | −0.428637 | + | 0.454329i | ||||
\(849\) | −21.6659 | − | 11.9736i | −0.743572 | − | 0.410934i | ||||
\(850\) | 1.62718 | + | 0.817201i | 0.0558119 | + | 0.0280298i | ||||
\(851\) | 62.6603 | + | 31.4692i | 2.14797 | + | 1.07875i | ||||
\(852\) | 33.9504 | + | 18.7627i | 1.16312 | + | 0.642799i | ||||
\(853\) | 2.36014 | − | 2.50160i | 0.0808097 | − | 0.0856532i | −0.685707 | − | 0.727878i | \(-0.740507\pi\) |
0.766517 | + | 0.642224i | \(0.221988\pi\) | |||||||
\(854\) | 0.776573 | − | 0.651622i | 0.0265738 | − | 0.0222980i | ||||
\(855\) | 0.875950 | − | 42.2488i | 0.0299569 | − | 1.44488i | ||||
\(856\) | 11.4381 | + | 9.59772i | 0.390947 | + | 0.328043i | ||||
\(857\) | −14.5601 | + | 1.70183i | −0.497362 | + | 0.0581333i | −0.361076 | − | 0.932536i | \(-0.617591\pi\) |
−0.136286 | + | 0.990670i | \(0.543517\pi\) | |||||||
\(858\) | 9.61278 | − | 9.41554i | 0.328175 | − | 0.321441i | ||||
\(859\) | −6.54336 | − | 6.93555i | −0.223256 | − | 0.236638i | 0.606058 | − | 0.795421i | \(-0.292750\pi\) |
−0.829314 | + | 0.558783i | \(0.811269\pi\) | |||||||
\(860\) | −10.8220 | − | 1.26491i | −0.369026 | − | 0.0431330i | ||||
\(861\) | 28.5195 | − | 22.0737i | 0.971940 | − | 0.752271i | ||||
\(862\) | −1.08296 | + | 18.5938i | −0.0368859 | + | 0.633306i | ||||
\(863\) | −8.00876 | − | 13.8716i | −0.272621 | − | 0.472194i | 0.696911 | − | 0.717158i | \(-0.254557\pi\) |
−0.969532 | + | 0.244964i | \(0.921224\pi\) | |||||||
\(864\) | 16.7330 | + | 22.5708i | 0.569269 | + | 0.767873i | ||||
\(865\) | −27.3732 | + | 47.4117i | −0.930716 | + | 1.61205i | ||||
\(866\) | −6.12821 | − | 4.03059i | −0.208245 | − | 0.136965i | ||||
\(867\) | −20.6718 | − | 18.7838i | −0.702050 | − | 0.637933i | ||||
\(868\) | −1.40576 | − | 3.25892i | −0.0477147 | − | 0.110615i | ||||
\(869\) | −2.48915 | + | 0.589939i | −0.0844386 | + | 0.0200123i | ||||
\(870\) | 5.12249 | − | 0.394705i | 0.173669 | − | 0.0133817i | ||||
\(871\) | 32.5505 | + | 43.7229i | 1.10293 | + | 1.48150i | ||||
\(872\) | −22.3086 | + | 8.11966i | −0.755464 | + | 0.274967i | ||||
\(873\) | −7.89321 | − | 36.6761i | −0.267145 | − | 1.24130i | ||||
\(874\) | −15.9184 | − | 5.79383i | −0.538448 | − | 0.195979i | ||||
\(875\) | 4.08796 | + | 13.6547i | 0.138198 | + | 0.461614i | ||||
\(876\) | −12.8803 | − | 14.7792i | −0.435186 | − | 0.499341i | ||||
\(877\) | 1.92577 | + | 33.0643i | 0.0650287 | + | 1.11650i | 0.860147 | + | 0.510046i | \(0.170372\pi\) |
−0.795118 | + | 0.606454i | \(0.792591\pi\) | |||||||
\(878\) | 17.4883 | − | 11.5023i | 0.590203 | − | 0.388182i | ||||
\(879\) | 37.3799 | + | 5.87172i | 1.26079 | + | 0.198048i | ||||
\(880\) | −21.0503 | − | 4.98902i | −0.709607 | − | 0.168180i | ||||
\(881\) | 2.00755 | + | 11.3854i | 0.0676360 | + | 0.383583i | 0.999770 | + | 0.0214681i | \(0.00683402\pi\) |
−0.932134 | + | 0.362115i | \(0.882055\pi\) | |||||||
\(882\) | 4.33130 | + | 1.97581i | 0.145842 | + | 0.0665290i | ||||
\(883\) | −7.24692 | + | 41.0993i | −0.243878 | + | 1.38310i | 0.579206 | + | 0.815182i | \(0.303363\pi\) |
−0.823084 | + | 0.567920i | \(0.807748\pi\) | |||||||
\(884\) | −2.47736 | + | 5.74317i | −0.0833227 | + | 0.193164i | ||||
\(885\) | 2.46638 | − | 25.1818i | 0.0829064 | − | 0.846476i | ||||
\(886\) | −5.59410 | + | 18.6856i | −0.187937 | + | 0.627755i | ||||
\(887\) | 14.3927 | − | 19.3327i | 0.483259 | − | 0.649130i | −0.491895 | − | 0.870654i | \(-0.663696\pi\) |
0.975155 | + | 0.221524i | \(0.0711032\pi\) | |||||||
\(888\) | 19.1811 | + | 36.4736i | 0.643676 | + | 1.22397i | ||||
\(889\) | 30.0413 | − | 15.0873i | 1.00755 | − | 0.506013i | ||||
\(890\) | 21.6198 | 0.724697 | ||||||||
\(891\) | −28.5636 | − | 11.7588i | −0.956917 | − | 0.393934i | ||||
\(892\) | 7.80468 | 0.261320 | ||||||||
\(893\) | −13.7405 | + | 6.90072i | −0.459807 | + | 0.230924i | ||||
\(894\) | −7.23891 | + | 11.4683i | −0.242105 | + | 0.383557i | ||||
\(895\) | −17.8534 | + | 23.9812i | −0.596772 | + | 0.801604i | ||||
\(896\) | −10.3558 | + | 34.5906i | −0.345961 | + | 1.15559i | ||||
\(897\) | −34.5546 | − | 24.7331i | −1.15374 | − | 0.825813i | ||||
\(898\) | 3.94788 | − | 9.15221i | 0.131742 | − | 0.305413i | ||||
\(899\) | 0.211221 | − | 1.19789i | 0.00704460 | − | 0.0399519i | ||||
\(900\) | 16.6465 | − | 4.60988i | 0.554883 | − | 0.153663i | ||||
\(901\) | −1.36020 | − | 7.71410i | −0.0453149 | − | 0.256994i | ||||
\(902\) | 12.6108 | + | 2.98880i | 0.419892 | + | 0.0995163i | ||||
\(903\) | −4.35908 | − | 11.3128i | −0.145061 | − | 0.376467i | ||||
\(904\) | 10.1580 | − | 6.68102i | 0.337850 | − | 0.222207i | ||||
\(905\) | 0.138383 | + | 2.37595i | 0.00460001 | + | 0.0789792i | ||||
\(906\) | −6.05620 | + | 1.18519i | −0.201204 | + | 0.0393754i | ||||
\(907\) | −6.62271 | − | 22.1214i | −0.219904 | − | 0.734529i | −0.994746 | − | 0.102375i | \(-0.967356\pi\) |
0.774842 | − | 0.632155i | \(-0.217829\pi\) | |||||||
\(908\) | 22.2614 | + | 8.10250i | 0.738771 | + | 0.268891i | ||||
\(909\) | −9.55144 | − | 15.1994i | −0.316801 | − | 0.504133i | ||||
\(910\) | −19.3305 | + | 7.03572i | −0.640799 | + | 0.233232i | ||||
\(911\) | −13.6745 | − | 18.3680i | −0.453055 | − | 0.608559i | 0.515642 | − | 0.856804i | \(-0.327553\pi\) |
−0.968697 | + | 0.248246i | \(0.920146\pi\) | |||||||
\(912\) | 10.3059 | + | 15.0480i | 0.341264 | + | 0.498289i | ||||
\(913\) | 12.1544 | − | 2.88065i | 0.402252 | − | 0.0953355i | ||||
\(914\) | 1.87698 | + | 4.35133i | 0.0620850 | + | 0.143929i | ||||
\(915\) | 2.73351 | − | 0.874448i | 0.0903670 | − | 0.0289084i | ||||
\(916\) | −7.26878 | − | 4.78075i | −0.240167 | − | 0.157961i | ||||
\(917\) | 11.2088 | − | 19.4143i | 0.370148 | − | 0.641116i | ||||
\(918\) | −2.75713 | − | 0.00553191i | −0.0909988 | − | 0.000182580i | ||||
\(919\) | −9.84136 | − | 17.0457i | −0.324636 | − | 0.562287i | 0.656802 | − | 0.754063i | \(-0.271909\pi\) |
−0.981439 | + | 0.191776i | \(0.938575\pi\) | |||||||
\(920\) | 2.16840 | − | 37.2301i | 0.0714902 | − | 1.22744i | ||||
\(921\) | −48.8497 | − | 19.9954i | −1.60965 | − | 0.658872i | ||||
\(922\) | 11.4670 | + | 1.34030i | 0.377645 | + | 0.0441404i | ||||
\(923\) | −36.5279 | − | 38.7173i | −1.20233 | − | 1.27440i | ||||
\(924\) | −7.76658 | − | 30.2354i | −0.255502 | − | 0.994672i | ||||
\(925\) | 38.8467 | − | 4.54052i | 1.27727 | − | 0.149292i | ||||
\(926\) | 1.12588 | + | 0.944728i | 0.0369988 | + | 0.0310457i | ||||
\(927\) | 5.24316 | − | 0.812832i | 0.172208 | − | 0.0266969i | ||||
\(928\) | −7.45472 | + | 6.25525i | −0.244713 | + | 0.205339i | ||||
\(929\) | 19.8444 | − | 21.0338i | 0.651074 | − | 0.690098i | −0.314786 | − | 0.949163i | \(-0.601933\pi\) |
0.965860 | + | 0.259065i | \(0.0834143\pi\) | |||||||
\(930\) | 0.0361241 | + | 1.92910i | 0.00118456 | + | 0.0632575i | ||||
\(931\) | 12.1196 | + | 6.08669i | 0.397204 | + | 0.199483i | ||||
\(932\) | −6.67733 | − | 3.35348i | −0.218723 | − | 0.109847i | ||||
\(933\) | −40.2216 | + | 24.2372i | −1.31680 | + | 0.793490i | ||||
\(934\) | −4.76771 | + | 5.05347i | −0.156004 | + | 0.165355i | ||||
\(935\) | 7.13679 | − | 5.98848i | 0.233398 | − | 0.195844i | ||||
\(936\) | −8.05343 | − | 23.6402i | −0.263235 | − | 0.772705i | ||||
\(937\) | 14.9990 | + | 12.5856i | 0.489995 | + | 0.411155i | 0.854025 | − | 0.520233i | \(-0.174155\pi\) |
−0.364029 | + | 0.931388i | \(0.618599\pi\) | |||||||
\(938\) | −24.1188 | + | 2.81908i | −0.787506 | + | 0.0920463i | ||||
\(939\) | −13.5238 | − | 3.77437i | −0.441334 | − | 0.123172i | ||||
\(940\) | −10.5972 | − | 11.2323i | −0.345641 | − | 0.366358i | ||||
\(941\) | 10.0278 | + | 1.17209i | 0.326898 | + | 0.0382089i | 0.277959 | − | 0.960593i | \(-0.410342\pi\) |
0.0489390 | + | 0.998802i | \(0.484416\pi\) | |||||||
\(942\) | 0.0219902 | + | 0.161804i | 0.000716480 | + | 0.00527185i | ||||
\(943\) | 2.37979 | − | 40.8595i | 0.0774967 | − | 1.33057i | ||||
\(944\) | 5.46032 | + | 9.45755i | 0.177718 | + | 0.307817i | ||||
\(945\) | 32.3376 | + | 34.4139i | 1.05194 | + | 1.11949i | ||||
\(946\) | 2.17839 | − | 3.77309i | 0.0708257 | − | 0.122674i | ||||
\(947\) | −17.5511 | − | 11.5436i | −0.570335 | − | 0.375115i | 0.231342 | − | 0.972872i | \(-0.425688\pi\) |
−0.801677 | + | 0.597757i | \(0.796059\pi\) | |||||||
\(948\) | −0.459966 | + | 2.11660i | −0.0149390 | + | 0.0687439i | ||||
\(949\) | 10.6552 | + | 24.7014i | 0.345881 | + | 0.801843i | ||||
\(950\) | −9.19419 | + | 2.17906i | −0.298299 | + | 0.0706981i | ||||
\(951\) | −14.5299 | + | 30.3346i | −0.471164 | + | 0.983666i | ||||
\(952\) | −3.64733 | − | 4.89922i | −0.118211 | − | 0.158785i | ||||
\(953\) | 6.34571 | − | 2.30965i | 0.205558 | − | 0.0748169i | −0.237189 | − | 0.971463i | \(-0.576226\pi\) |
0.442747 | + | 0.896647i | \(0.354004\pi\) | |||||||
\(954\) | 11.2660 | + | 8.75592i | 0.364749 | + | 0.283483i | ||||
\(955\) | 2.08753 | + | 0.759798i | 0.0675508 | + | 0.0245865i | ||||
\(956\) | −13.9845 | − | 46.7114i | −0.452290 | − | 1.51075i | ||||
\(957\) | 3.47027 | − | 10.1202i | 0.112178 | − | 0.327138i | ||||
\(958\) | −0.905188 | − | 15.5415i | −0.0292453 | − | 0.502122i | ||||
\(959\) | 22.5645 | − | 14.8409i | 0.728645 | − | 0.479237i | ||||
\(960\) | −4.02050 | + | 4.97782i | −0.129761 | + | 0.160658i | ||||
\(961\) | −29.7199 | − | 7.04375i | −0.958706 | − | 0.227218i | ||||
\(962\) | −4.47973 | − | 25.4058i | −0.144432 | − | 0.819117i | ||||
\(963\) | −12.1603 | + | 17.6794i | −0.391859 | + | 0.569709i | ||||
\(964\) | −7.27912 | + | 41.2819i | −0.234445 | + | 1.32960i | ||||
\(965\) | 10.7589 | − | 24.9419i | 0.346341 | − | 0.802909i | ||||
\(966\) | 17.2389 | − | 7.82212i | 0.554651 | − | 0.251672i | ||||
\(967\) | −3.38236 | + | 11.2979i | −0.108769 | + | 0.363315i | −0.994993 | − | 0.0999421i | \(-0.968134\pi\) |
0.886224 | + | 0.463257i | \(0.153319\pi\) | |||||||
\(968\) | 0.971882 | − | 1.30546i | 0.0312375 | − | 0.0419592i | ||||
\(969\) | −7.84840 | − | 0.309811i | −0.252127 | − | 0.00995255i | ||||
\(970\) | −18.4186 | + | 9.25019i | −0.591387 | + | 0.297006i | ||||
\(971\) | 24.4687 | 0.785239 | 0.392620 | − | 0.919701i | \(-0.371569\pi\) | ||||
0.392620 | + | 0.919701i | \(0.371569\pi\) | |||||||
\(972\) | −19.4273 | + | 17.5113i | −0.623132 | + | 0.561674i | ||||
\(973\) | −18.4632 | −0.591905 | ||||||||
\(974\) | 3.05566 | − | 1.53461i | 0.0979096 | − | 0.0491721i | ||||
\(975\) | −23.6841 | − | 0.934915i | −0.758498 | − | 0.0299413i | ||||
\(976\) | −0.739699 | + | 0.993589i | −0.0236772 | + | 0.0318040i | ||||
\(977\) | −11.1615 | + | 37.2820i | −0.357088 | + | 1.19276i | 0.571174 | + | 0.820829i | \(0.306488\pi\) |
−0.928262 | + | 0.371927i | \(0.878697\pi\) | |||||||
\(978\) | −14.5047 | + | 6.58147i | −0.463808 | + | 0.210452i | ||||
\(979\) | 17.8318 | − | 41.3387i | 0.569907 | − | 1.32119i | ||||
\(980\) | −2.36521 | + | 13.4138i | −0.0755538 | + | 0.428487i | ||||
\(981\) | −14.6763 | − | 30.7987i | −0.468579 | − | 0.983328i | ||||
\(982\) | 0.0480294 | + | 0.272388i | 0.00153268 | + | 0.00869226i | ||||
\(983\) | 18.2124 | + | 4.31641i | 0.580885 | + | 0.137672i | 0.510545 | − | 0.859851i | \(-0.329444\pi\) |
0.0703395 | + | 0.997523i | \(0.477592\pi\) | |||||||
\(984\) | 15.1141 | − | 18.7130i | 0.481821 | − | 0.596548i | ||||
\(985\) | −2.71672 | + | 1.78681i | −0.0865618 | + | 0.0569326i | ||||
\(986\) | −0.0555250 | − | 0.953328i | −0.00176828 | − | 0.0303601i | ||||
\(987\) | 5.57348 | − | 16.2536i | 0.177406 | − | 0.517358i | ||||
\(988\) | −9.30881 | − | 31.0936i | −0.296153 | − | 0.989219i | ||||
\(989\) | −12.9292 | − | 4.70584i | −0.411125 | − | 0.149637i | ||||
\(990\) | −2.31911 | + | 16.8112i | −0.0737062 | + | 0.534294i | ||||
\(991\) | −2.15353 | + | 0.783819i | −0.0684090 | + | 0.0248988i | −0.375998 | − | 0.926620i | \(-0.622700\pi\) |
0.307589 | + | 0.951519i | \(0.400478\pi\) | |||||||
\(992\) | −2.18238 | − | 2.93144i | −0.0692906 | − | 0.0930735i | ||||
\(993\) | 1.48651 | − | 3.10345i | 0.0471731 | − | 0.0984849i | ||||
\(994\) | 23.0736 | − | 5.46853i | 0.731849 | − | 0.173451i | ||||
\(995\) | 8.83352 | + | 20.4784i | 0.280041 | + | 0.649209i | ||||
\(996\) | 2.24599 | − | 10.3353i | 0.0711671 | − | 0.327485i | ||||
\(997\) | −26.1338 | − | 17.1885i | −0.827666 | − | 0.544365i | 0.0635312 | − | 0.997980i | \(-0.479764\pi\) |
−0.891198 | + | 0.453615i | \(0.850134\pi\) | |||||||
\(998\) | 1.55659 | − | 2.69609i | 0.0492729 | − | 0.0853432i | ||||
\(999\) | −49.5443 | + | 32.4436i | −1.56751 | + | 1.02647i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 81.2.g.a.25.5 | yes | 144 | |
3.2 | odd | 2 | 243.2.g.a.73.4 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.703.5 | 144 | |||
9.4 | even | 3 | 729.2.g.d.217.4 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.217.5 | 144 | |||
9.7 | even | 3 | 729.2.g.c.703.4 | 144 | |||
81.13 | even | 27 | inner | 81.2.g.a.13.5 | ✓ | 144 | |
81.14 | odd | 54 | 729.2.g.a.514.5 | 144 | |||
81.16 | even | 27 | 6561.2.a.c.1.32 | 72 | |||
81.40 | even | 27 | 729.2.g.c.28.4 | 144 | |||
81.41 | odd | 54 | 729.2.g.b.28.5 | 144 | |||
81.65 | odd | 54 | 6561.2.a.d.1.41 | 72 | |||
81.67 | even | 27 | 729.2.g.d.514.4 | 144 | |||
81.68 | odd | 54 | 243.2.g.a.10.4 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.13.5 | ✓ | 144 | 81.13 | even | 27 | inner | |
81.2.g.a.25.5 | yes | 144 | 1.1 | even | 1 | trivial | |
243.2.g.a.10.4 | 144 | 81.68 | odd | 54 | |||
243.2.g.a.73.4 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.217.5 | 144 | 9.5 | odd | 6 | |||
729.2.g.a.514.5 | 144 | 81.14 | odd | 54 | |||
729.2.g.b.28.5 | 144 | 81.41 | odd | 54 | |||
729.2.g.b.703.5 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.28.4 | 144 | 81.40 | even | 27 | |||
729.2.g.c.703.4 | 144 | 9.7 | even | 3 | |||
729.2.g.d.217.4 | 144 | 9.4 | even | 3 | |||
729.2.g.d.514.4 | 144 | 81.67 | even | 27 | |||
6561.2.a.c.1.32 | 72 | 81.16 | even | 27 | |||
6561.2.a.d.1.41 | 72 | 81.65 | odd | 54 |