Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.23 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.b.625.23 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.47927 | + | 1.00855i | 1.04600 | + | 0.713150i | 0.959100 | − | 0.283067i | \(-0.0913518\pi\) |
0.0868992 | + | 0.996217i | \(0.472304\pi\) | |||||||
\(3\) | 1.63683 | + | 1.51876i | 0.945025 | + | 0.876855i | 0.992528 | − | 0.122016i | \(-0.0389359\pi\) |
−0.0475031 | + | 0.998871i | \(0.515126\pi\) | |||||||
\(4\) | 0.440381 | + | 1.12207i | 0.220190 | + | 0.561036i | ||||
\(5\) | 1.13232 | − | 0.349275i | 0.506390 | − | 0.156201i | −0.0310251 | − | 0.999519i | \(-0.509877\pi\) |
0.537415 | + | 0.843318i | \(0.319401\pi\) | |||||||
\(6\) | 0.889572 | + | 3.89747i | 0.363166 | + | 1.59113i | ||||
\(7\) | 0.173595 | − | 2.64005i | 0.0656126 | − | 0.997845i | ||||
\(8\) | 0.316565 | − | 1.38696i | 0.111923 | − | 0.490365i | ||||
\(9\) | 0.148402 | + | 1.98029i | 0.0494674 | + | 0.660096i | ||||
\(10\) | 2.02727 | + | 0.625329i | 0.641078 | + | 0.197746i | ||||
\(11\) | −0.460570 | + | 6.14588i | −0.138867 | + | 1.85305i | 0.299301 | + | 0.954159i | \(0.403247\pi\) |
−0.438168 | + | 0.898893i | \(0.644372\pi\) | |||||||
\(12\) | −0.983326 | + | 2.50547i | −0.283862 | + | 0.723268i | ||||
\(13\) | −0.900969 | + | 0.433884i | −0.249884 | + | 0.120338i | ||||
\(14\) | 2.91941 | − | 3.73026i | 0.780244 | − | 0.996954i | ||||
\(15\) | 2.38388 | + | 1.14802i | 0.615516 | + | 0.296417i | ||||
\(16\) | 3.63433 | − | 3.37217i | 0.908583 | − | 0.843042i | ||||
\(17\) | −4.08464 | + | 0.615661i | −0.990672 | + | 0.149320i | −0.624330 | − | 0.781161i | \(-0.714628\pi\) |
−0.366342 | + | 0.930480i | \(0.619390\pi\) | |||||||
\(18\) | −1.77769 | + | 3.07905i | −0.419005 | + | 0.725738i | ||||
\(19\) | 2.80160 | + | 4.85252i | 0.642732 | + | 1.11324i | 0.984820 | + | 0.173576i | \(0.0555323\pi\) |
−0.342089 | + | 0.939668i | \(0.611134\pi\) | |||||||
\(20\) | 0.890564 | + | 1.11673i | 0.199136 | + | 0.249709i | ||||
\(21\) | 4.29374 | − | 4.05767i | 0.936971 | − | 0.885456i | ||||
\(22\) | −6.87971 | + | 8.62689i | −1.46676 | + | 1.83926i | ||||
\(23\) | 2.54869 | + | 0.384154i | 0.531439 | + | 0.0801016i | 0.409280 | − | 0.912409i | \(-0.365780\pi\) |
0.122160 | + | 0.992510i | \(0.461018\pi\) | |||||||
\(24\) | 2.62462 | − | 1.78944i | 0.535748 | − | 0.365267i | ||||
\(25\) | −2.97103 | + | 2.02562i | −0.594207 | + | 0.405123i | ||||
\(26\) | −1.77037 | − | 0.266840i | −0.347197 | − | 0.0523316i | ||||
\(27\) | 1.41190 | − | 1.77047i | 0.271721 | − | 0.340727i | ||||
\(28\) | 3.03877 | − | 0.967841i | 0.574274 | − | 0.182905i | ||||
\(29\) | −5.42217 | − | 6.79919i | −1.00687 | − | 1.26258i | −0.964668 | − | 0.263469i | \(-0.915133\pi\) |
−0.0422047 | − | 0.999109i | \(-0.513438\pi\) | |||||||
\(30\) | 2.36857 | + | 4.10248i | 0.432440 | + | 0.749007i | ||||
\(31\) | 3.62715 | − | 6.28241i | 0.651456 | − | 1.12835i | −0.331314 | − | 0.943521i | \(-0.607492\pi\) |
0.982770 | − | 0.184834i | \(-0.0591748\pi\) | |||||||
\(32\) | 5.96366 | − | 0.898877i | 1.05424 | − | 0.158901i | ||||
\(33\) | −10.0880 | + | 9.36027i | −1.75609 | + | 1.62941i | ||||
\(34\) | −6.66320 | − | 3.20883i | −1.14273 | − | 0.550309i | ||||
\(35\) | −0.725538 | − | 3.05002i | −0.122638 | − | 0.515547i | ||||
\(36\) | −2.15667 | + | 1.03860i | −0.359445 | + | 0.173100i | ||||
\(37\) | −1.57219 | + | 4.00587i | −0.258466 | + | 0.658561i | −0.999923 | − | 0.0124400i | \(-0.996040\pi\) |
0.741457 | + | 0.671001i | \(0.234135\pi\) | |||||||
\(38\) | −0.749675 | + | 10.0037i | −0.121613 | + | 1.62282i | ||||
\(39\) | −2.13370 | − | 0.658159i | −0.341665 | − | 0.105390i | ||||
\(40\) | −0.125978 | − | 1.68105i | −0.0199188 | − | 0.265798i | ||||
\(41\) | 1.67715 | − | 7.34806i | 0.261926 | − | 1.14757i | −0.657233 | − | 0.753688i | \(-0.728273\pi\) |
0.919159 | − | 0.393886i | \(-0.128870\pi\) | |||||||
\(42\) | 10.4439 | − | 1.67193i | 1.61153 | − | 0.257985i | ||||
\(43\) | −1.00823 | − | 4.41734i | −0.153753 | − | 0.673637i | −0.991774 | − | 0.127999i | \(-0.959144\pi\) |
0.838021 | − | 0.545638i | \(-0.183713\pi\) | |||||||
\(44\) | −7.09894 | + | 2.18973i | −1.07021 | + | 0.330115i | ||||
\(45\) | 0.859704 | + | 2.19049i | 0.128157 | + | 0.326539i | ||||
\(46\) | 3.38276 | + | 3.13874i | 0.498761 | + | 0.462782i | ||||
\(47\) | −3.87665 | − | 2.64306i | −0.565468 | − | 0.385529i | 0.246578 | − | 0.969123i | \(-0.420694\pi\) |
−0.812046 | + | 0.583594i | \(0.801646\pi\) | |||||||
\(48\) | 11.0703 | 1.59786 | ||||||||
\(49\) | −6.93973 | − | 0.916597i | −0.991390 | − | 0.130942i | ||||
\(50\) | −6.43788 | −0.910454 | ||||||||
\(51\) | −7.62091 | − | 5.19585i | −1.06714 | − | 0.727565i | ||||
\(52\) | −0.883618 | − | 0.819878i | −0.122536 | − | 0.113697i | ||||
\(53\) | −0.482978 | − | 1.23061i | −0.0663422 | − | 0.169037i | 0.893858 | − | 0.448351i | \(-0.147988\pi\) |
−0.960200 | + | 0.279313i | \(0.909893\pi\) | |||||||
\(54\) | 3.87418 | − | 1.19503i | 0.527209 | − | 0.162622i | ||||
\(55\) | 1.62509 | + | 7.11998i | 0.219127 | + | 0.960058i | ||||
\(56\) | −3.60669 | − | 1.07652i | −0.481964 | − | 0.143855i | ||||
\(57\) | −2.78405 | + | 12.1977i | −0.368756 | + | 1.61563i | ||||
\(58\) | −1.16354 | − | 15.5263i | −0.152780 | − | 2.03871i | ||||
\(59\) | −12.0110 | − | 3.70489i | −1.56369 | − | 0.482336i | −0.612381 | − | 0.790563i | \(-0.709788\pi\) |
−0.951313 | + | 0.308227i | \(0.900264\pi\) | |||||||
\(60\) | −0.238342 | + | 3.18045i | −0.0307698 | + | 0.410595i | ||||
\(61\) | −1.86939 | + | 4.76312i | −0.239350 | + | 0.609854i | −0.999189 | − | 0.0402567i | \(-0.987182\pi\) |
0.759839 | + | 0.650111i | \(0.225278\pi\) | |||||||
\(62\) | 11.7016 | − | 5.63521i | 1.48611 | − | 0.715672i | ||||
\(63\) | 5.25382 | − | 0.0480214i | 0.661920 | − | 0.00605013i | ||||
\(64\) | 0.794733 | + | 0.382723i | 0.0993416 | + | 0.0478404i | ||||
\(65\) | −0.868642 | + | 0.805982i | −0.107742 | + | 0.0999697i | ||||
\(66\) | −24.3631 | + | 3.67214i | −2.99889 | + | 0.452010i | ||||
\(67\) | −4.08655 | + | 7.07812i | −0.499252 | + | 0.864730i | −1.00000 | 0.000863498i | \(-0.999725\pi\) | |
0.500748 | + | 0.865593i | \(0.333058\pi\) | |||||||
\(68\) | −2.48961 | − | 4.31214i | −0.301910 | − | 0.522924i | ||||
\(69\) | 3.58835 | + | 4.49964i | 0.431986 | + | 0.541693i | ||||
\(70\) | 2.00282 | − | 5.24353i | 0.239383 | − | 0.626722i | ||||
\(71\) | 5.72661 | − | 7.18094i | 0.679624 | − | 0.852221i | −0.315696 | − | 0.948860i | \(-0.602238\pi\) |
0.995319 | + | 0.0966394i | \(0.0308094\pi\) | |||||||
\(72\) | 2.79356 | + | 0.421062i | 0.329224 | + | 0.0496226i | ||||
\(73\) | 1.03987 | − | 0.708969i | 0.121707 | − | 0.0829785i | −0.500937 | − | 0.865484i | \(-0.667011\pi\) |
0.622644 | + | 0.782505i | \(0.286059\pi\) | |||||||
\(74\) | −6.36579 | + | 4.34012i | −0.740008 | + | 0.504529i | ||||
\(75\) | −7.93950 | − | 1.19669i | −0.916775 | − | 0.138182i | ||||
\(76\) | −4.21110 | + | 5.28055i | −0.483046 | + | 0.605721i | ||||
\(77\) | 16.1455 | + | 2.28282i | 1.83995 | + | 0.260151i | ||||
\(78\) | −2.49252 | − | 3.12553i | −0.282223 | − | 0.353896i | ||||
\(79\) | 3.83306 | + | 6.63906i | 0.431253 | + | 0.746952i | 0.996982 | − | 0.0776394i | \(-0.0247383\pi\) |
−0.565728 | + | 0.824592i | \(0.691405\pi\) | |||||||
\(80\) | 2.93742 | − | 5.08776i | 0.328414 | − | 0.568829i | ||||
\(81\) | 10.8909 | − | 1.64155i | 1.21010 | − | 0.182394i | ||||
\(82\) | 9.89181 | − | 9.17826i | 1.09237 | − | 1.01357i | ||||
\(83\) | −5.20613 | − | 2.50714i | −0.571447 | − | 0.275194i | 0.125764 | − | 0.992060i | \(-0.459862\pi\) |
−0.697211 | + | 0.716866i | \(0.745576\pi\) | |||||||
\(84\) | 6.44388 | + | 3.03097i | 0.703084 | + | 0.330706i | ||||
\(85\) | −4.41010 | + | 2.12379i | −0.478342 | + | 0.230357i | ||||
\(86\) | 2.96365 | − | 7.55126i | 0.319579 | − | 0.814274i | ||||
\(87\) | 1.45114 | − | 19.3641i | 0.155578 | − | 2.07605i | ||||
\(88\) | 8.37829 | + | 2.58436i | 0.893129 | + | 0.275494i | ||||
\(89\) | −1.00095 | − | 13.3568i | −0.106101 | − | 1.41582i | −0.755391 | − | 0.655275i | \(-0.772553\pi\) |
0.649290 | − | 0.760541i | \(-0.275066\pi\) | |||||||
\(90\) | −0.937481 | + | 4.10737i | −0.0988192 | + | 0.432955i | ||||
\(91\) | 0.989071 | + | 2.45392i | 0.103683 | + | 0.257241i | ||||
\(92\) | 0.691347 | + | 3.02899i | 0.0720780 | + | 0.315794i | ||||
\(93\) | 15.4785 | − | 4.77449i | 1.60505 | − | 0.495091i | ||||
\(94\) | −3.06895 | − | 7.81957i | −0.316538 | − | 0.806527i | ||||
\(95\) | 4.86718 | + | 4.51608i | 0.499362 | + | 0.463340i | ||||
\(96\) | 11.1267 | + | 7.58604i | 1.13561 | + | 0.774247i | ||||
\(97\) | −5.42125 | −0.550445 | −0.275222 | − | 0.961381i | \(-0.588751\pi\) | ||||
−0.275222 | + | 0.961381i | \(0.588751\pi\) | |||||||
\(98\) | −9.34128 | − | 8.35493i | −0.943612 | − | 0.843976i | ||||
\(99\) | −12.2390 | −1.23006 | ||||||||
\(100\) | −3.58127 | − | 2.44167i | −0.358127 | − | 0.244167i | ||||
\(101\) | 7.79889 | + | 7.23631i | 0.776018 | + | 0.720040i | 0.965089 | − | 0.261924i | \(-0.0843569\pi\) |
−0.189070 | + | 0.981964i | \(0.560547\pi\) | |||||||
\(102\) | −6.03310 | − | 15.3721i | −0.597366 | − | 1.52206i | ||||
\(103\) | 2.61632 | − | 0.807027i | 0.257794 | − | 0.0795188i | −0.163165 | − | 0.986599i | \(-0.552170\pi\) |
0.420958 | + | 0.907080i | \(0.361694\pi\) | |||||||
\(104\) | 0.316565 | + | 1.38696i | 0.0310417 | + | 0.136003i | ||||
\(105\) | 3.44465 | − | 6.09428i | 0.336164 | − | 0.594741i | ||||
\(106\) | 0.526673 | − | 2.30750i | 0.0511550 | − | 0.224125i | ||||
\(107\) | 1.39753 | + | 18.6488i | 0.135105 | + | 1.80285i | 0.493991 | + | 0.869467i | \(0.335537\pi\) |
−0.358886 | + | 0.933381i | \(0.616843\pi\) | |||||||
\(108\) | 2.60837 | + | 0.804574i | 0.250990 | + | 0.0774202i | ||||
\(109\) | −1.02017 | + | 13.6133i | −0.0977148 | + | 1.30391i | 0.705707 | + | 0.708504i | \(0.250629\pi\) |
−0.803422 | + | 0.595410i | \(0.796990\pi\) | |||||||
\(110\) | −4.77689 | + | 12.1713i | −0.455459 | + | 1.16049i | ||||
\(111\) | −8.65735 | + | 4.16916i | −0.821719 | + | 0.395719i | ||||
\(112\) | −8.27179 | − | 10.1802i | −0.781611 | − | 0.961940i | ||||
\(113\) | 13.4237 | + | 6.46450i | 1.26279 | + | 0.608129i | 0.940912 | − | 0.338651i | \(-0.109971\pi\) |
0.321881 | + | 0.946780i | \(0.395685\pi\) | |||||||
\(114\) | −16.4203 | + | 15.2358i | −1.53790 | + | 1.42697i | ||||
\(115\) | 3.02012 | − | 0.455209i | 0.281627 | − | 0.0424485i | ||||
\(116\) | 5.24136 | − | 9.07830i | 0.486648 | − | 0.842899i | ||||
\(117\) | −0.992921 | − | 1.71979i | −0.0917956 | − | 0.158995i | ||||
\(118\) | −14.0309 | − | 17.5941i | −1.29165 | − | 1.61967i | ||||
\(119\) | 0.916303 | + | 10.8905i | 0.0839974 | + | 0.998334i | ||||
\(120\) | 2.34691 | − | 2.94293i | 0.214242 | − | 0.268652i | ||||
\(121\) | −26.6826 | − | 4.02175i | −2.42569 | − | 0.365614i | ||||
\(122\) | −7.56914 | + | 5.16055i | −0.685278 | + | 0.467215i | ||||
\(123\) | 13.9051 | − | 9.48035i | 1.25378 | − | 0.854815i | ||||
\(124\) | 8.64665 | + | 1.30327i | 0.776492 | + | 0.117037i | ||||
\(125\) | −6.35074 | + | 7.96358i | −0.568028 | + | 0.712284i | ||||
\(126\) | 7.82024 | + | 5.22769i | 0.696682 | + | 0.465720i | ||||
\(127\) | 1.06175 | + | 1.33139i | 0.0942153 | + | 0.118142i | 0.826704 | − | 0.562637i | \(-0.190213\pi\) |
−0.732489 | + | 0.680779i | \(0.761642\pi\) | |||||||
\(128\) | −5.24139 | − | 9.07836i | −0.463278 | − | 0.802421i | ||||
\(129\) | 5.05856 | − | 8.76169i | 0.445382 | − | 0.771424i | ||||
\(130\) | −2.09782 | + | 0.316196i | −0.183991 | + | 0.0277322i | ||||
\(131\) | 4.29469 | − | 3.98489i | 0.375229 | − | 0.348162i | −0.469904 | − | 0.882717i | \(-0.655712\pi\) |
0.845133 | + | 0.534556i | \(0.179521\pi\) | |||||||
\(132\) | −14.9454 | − | 7.19735i | −1.30083 | − | 0.626449i | ||||
\(133\) | 13.2972 | − | 6.55400i | 1.15302 | − | 0.568304i | ||||
\(134\) | −13.1837 | + | 6.34894i | −1.13890 | + | 0.548465i | ||||
\(135\) | 0.980346 | − | 2.49788i | 0.0843748 | − | 0.214983i | ||||
\(136\) | −0.439156 | + | 5.86014i | −0.0376574 | + | 0.502502i | ||||
\(137\) | −0.664925 | − | 0.205102i | −0.0568083 | − | 0.0175231i | 0.266221 | − | 0.963912i | \(-0.414225\pi\) |
−0.323029 | + | 0.946389i | \(0.604701\pi\) | |||||||
\(138\) | 0.770019 | + | 10.2752i | 0.0655484 | + | 0.874682i | ||||
\(139\) | −3.23037 | + | 14.1532i | −0.273996 | + | 1.20046i | 0.631253 | + | 0.775577i | \(0.282541\pi\) |
−0.905250 | + | 0.424880i | \(0.860316\pi\) | |||||||
\(140\) | 3.10283 | − | 2.15728i | 0.262237 | − | 0.182323i | ||||
\(141\) | −2.33126 | − | 10.2139i | −0.196328 | − | 0.860168i | ||||
\(142\) | 15.7135 | − | 4.84697i | 1.31865 | − | 0.406749i | ||||
\(143\) | −2.25164 | − | 5.73708i | −0.188291 | − | 0.479759i | ||||
\(144\) | 7.21721 | + | 6.69659i | 0.601434 | + | 0.558049i | ||||
\(145\) | −8.51443 | − | 5.80504i | −0.707085 | − | 0.482083i | ||||
\(146\) | 2.25327 | 0.186482 | ||||||||
\(147\) | −9.96708 | − | 12.0401i | −0.822071 | − | 0.993049i | ||||
\(148\) | −5.18723 | −0.426388 | ||||||||
\(149\) | 13.1727 | + | 8.98100i | 1.07915 | + | 0.735752i | 0.966186 | − | 0.257847i | \(-0.0830131\pi\) |
0.112964 | + | 0.993599i | \(0.463965\pi\) | |||||||
\(150\) | −10.5377 | − | 9.77758i | −0.860402 | − | 0.798336i | ||||
\(151\) | 5.00428 | + | 12.7507i | 0.407243 | + | 1.03764i | 0.976508 | + | 0.215483i | \(0.0691327\pi\) |
−0.569265 | + | 0.822154i | \(0.692772\pi\) | |||||||
\(152\) | 7.61714 | − | 2.34958i | 0.617831 | − | 0.190576i | ||||
\(153\) | −1.82536 | − | 7.99741i | −0.147571 | − | 0.646552i | ||||
\(154\) | 21.5811 | + | 19.6604i | 1.73906 | + | 1.58428i | ||||
\(155\) | 1.91281 | − | 8.38059i | 0.153641 | − | 0.673145i | ||||
\(156\) | −0.201138 | − | 2.68400i | −0.0161039 | − | 0.214892i | ||||
\(157\) | 4.21556 | + | 1.30033i | 0.336439 | + | 0.103778i | 0.458371 | − | 0.888761i | \(-0.348433\pi\) |
−0.121933 | + | 0.992538i | \(0.538909\pi\) | |||||||
\(158\) | −1.02568 | + | 13.6868i | −0.0815988 | + | 1.08886i | ||||
\(159\) | 1.07844 | − | 2.74783i | 0.0855260 | − | 0.217917i | ||||
\(160\) | 6.43883 | − | 3.10078i | 0.509034 | − | 0.245138i | ||||
\(161\) | 1.45663 | − | 6.66199i | 0.114798 | − | 0.525039i | ||||
\(162\) | 17.7662 | + | 8.55574i | 1.39584 | + | 0.672203i | ||||
\(163\) | −2.11764 | + | 1.96488i | −0.165866 | + | 0.153901i | −0.758739 | − | 0.651395i | \(-0.774184\pi\) |
0.592873 | + | 0.805296i | \(0.297994\pi\) | |||||||
\(164\) | 8.98363 | − | 1.35406i | 0.701504 | − | 0.105735i | ||||
\(165\) | −8.15352 | + | 14.1223i | −0.634751 | + | 1.09942i | ||||
\(166\) | −5.17268 | − | 8.95935i | −0.401478 | − | 0.695381i | ||||
\(167\) | −11.7847 | − | 14.7776i | −0.911929 | − | 1.14352i | −0.989209 | − | 0.146513i | \(-0.953195\pi\) |
0.0772796 | − | 0.997009i | \(-0.475377\pi\) | |||||||
\(168\) | −4.26858 | − | 7.23976i | −0.329328 | − | 0.558560i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | −8.66565 | − | 1.30614i | −0.664625 | − | 0.100176i | ||||
\(171\) | −9.19362 | + | 6.26811i | −0.703054 | + | 0.479334i | ||||
\(172\) | 4.51256 | − | 3.07661i | 0.344080 | − | 0.234590i | ||||
\(173\) | −0.482689 | − | 0.0727537i | −0.0366982 | − | 0.00553136i | 0.130668 | − | 0.991426i | \(-0.458288\pi\) |
−0.167366 | + | 0.985895i | \(0.553526\pi\) | |||||||
\(174\) | 21.6762 | − | 27.1811i | 1.64327 | − | 2.06060i | ||||
\(175\) | 4.83197 | + | 8.19532i | 0.365263 | + | 0.619508i | ||||
\(176\) | 19.0511 | + | 23.8893i | 1.43603 | + | 1.80072i | ||||
\(177\) | −14.0331 | − | 24.3060i | −1.05479 | − | 1.82695i | ||||
\(178\) | 11.9903 | − | 20.7677i | 0.898708 | − | 1.55661i | ||||
\(179\) | 7.18594 | − | 1.08311i | 0.537102 | − | 0.0809551i | 0.125111 | − | 0.992143i | \(-0.460071\pi\) |
0.411991 | + | 0.911188i | \(0.364833\pi\) | |||||||
\(180\) | −2.07929 | + | 1.92930i | −0.154981 | + | 0.143802i | ||||
\(181\) | 7.44386 | + | 3.58477i | 0.553297 | + | 0.266454i | 0.689572 | − | 0.724217i | \(-0.257799\pi\) |
−0.136275 | + | 0.990671i | \(0.543513\pi\) | |||||||
\(182\) | −1.01180 | + | 4.62753i | −0.0749993 | + | 0.343015i | ||||
\(183\) | −10.2939 | + | 4.95727i | −0.760946 | + | 0.366452i | ||||
\(184\) | 1.33963 | − | 3.41333i | 0.0987590 | − | 0.251634i | ||||
\(185\) | −0.381072 | + | 5.08506i | −0.0280170 | + | 0.373861i | ||||
\(186\) | 27.7121 | + | 8.54806i | 2.03195 | + | 0.626774i | ||||
\(187\) | −1.90251 | − | 25.3873i | −0.139126 | − | 1.85650i | ||||
\(188\) | 1.25850 | − | 5.51383i | 0.0917852 | − | 0.402137i | ||||
\(189\) | −4.42903 | − | 4.03483i | −0.322164 | − | 0.293491i | ||||
\(190\) | 2.64517 | + | 11.5893i | 0.191901 | + | 0.840774i | ||||
\(191\) | −1.42165 | + | 0.438519i | −0.102867 | + | 0.0317302i | −0.345761 | − | 0.938323i | \(-0.612379\pi\) |
0.242895 | + | 0.970053i | \(0.421903\pi\) | |||||||
\(192\) | 0.719580 | + | 1.83346i | 0.0519312 | + | 0.132319i | ||||
\(193\) | 19.1601 | + | 17.7779i | 1.37917 | + | 1.27968i | 0.920318 | + | 0.391172i | \(0.127930\pi\) |
0.458854 | + | 0.888512i | \(0.348260\pi\) | |||||||
\(194\) | −8.01947 | − | 5.46759i | −0.575765 | − | 0.392550i | ||||
\(195\) | −2.64591 | −0.189478 | ||||||||
\(196\) | −2.02763 | − | 8.19053i | −0.144831 | − | 0.585038i | ||||
\(197\) | −0.855369 | −0.0609425 | −0.0304713 | − | 0.999536i | \(-0.509701\pi\) | ||||
−0.0304713 | + | 0.999536i | \(0.509701\pi\) | |||||||
\(198\) | −18.1047 | − | 12.3436i | −1.28664 | − | 0.877219i | ||||
\(199\) | −9.09217 | − | 8.43630i | −0.644527 | − | 0.598034i | 0.288657 | − | 0.957433i | \(-0.406791\pi\) |
−0.933184 | + | 0.359399i | \(0.882982\pi\) | |||||||
\(200\) | 1.86893 | + | 4.76195i | 0.132153 | + | 0.336720i | ||||
\(201\) | −17.4389 | + | 5.37920i | −1.23005 | + | 0.379420i | ||||
\(202\) | 4.23848 | + | 18.5700i | 0.298218 | + | 1.30658i | ||||
\(203\) | −18.8915 | + | 13.1345i | −1.32592 | + | 0.921862i | ||||
\(204\) | 2.47401 | − | 10.8394i | 0.173216 | − | 0.758907i | ||||
\(205\) | −0.667424 | − | 8.90615i | −0.0466149 | − | 0.622033i | ||||
\(206\) | 4.68416 | + | 1.44487i | 0.326361 | + | 0.100669i | ||||
\(207\) | −0.382504 | + | 5.10416i | −0.0265859 | + | 0.354764i | ||||
\(208\) | −1.81129 | + | 4.61510i | −0.125591 | + | 0.319999i | ||||
\(209\) | −31.1133 | + | 14.9834i | −2.15215 | + | 1.03642i | ||||
\(210\) | 11.2419 | − | 5.54097i | 0.775767 | − | 0.382363i | ||||
\(211\) | 16.8158 | + | 8.09807i | 1.15765 | + | 0.557494i | 0.911323 | − | 0.411693i | \(-0.135062\pi\) |
0.246326 | + | 0.969187i | \(0.420777\pi\) | |||||||
\(212\) | 1.16814 | − | 1.08387i | 0.0802280 | − | 0.0744407i | ||||
\(213\) | 20.2796 | − | 3.05666i | 1.38954 | − | 0.209439i | ||||
\(214\) | −16.7409 | + | 28.9960i | −1.14438 | + | 1.98213i | ||||
\(215\) | −2.68450 | − | 4.64970i | −0.183082 | − | 0.317107i | ||||
\(216\) | −2.00861 | − | 2.51872i | −0.136669 | − | 0.171377i | ||||
\(217\) | −15.9562 | − | 10.6665i | −1.08318 | − | 0.724087i | ||||
\(218\) | −15.2387 | + | 19.1087i | −1.03210 | + | 1.29421i | ||||
\(219\) | 2.77884 | + | 0.418842i | 0.187776 | + | 0.0283028i | ||||
\(220\) | −7.27347 | + | 4.95897i | −0.490377 | + | 0.334333i | ||||
\(221\) | 3.41301 | − | 2.32695i | 0.229584 | − | 0.156528i | ||||
\(222\) | −17.0113 | − | 2.56404i | −1.14173 | − | 0.172087i | ||||
\(223\) | 4.58496 | − | 5.74936i | 0.307031 | − | 0.385005i | −0.604246 | − | 0.796798i | \(-0.706526\pi\) |
0.911278 | + | 0.411792i | \(0.135097\pi\) | |||||||
\(224\) | −1.33782 | − | 15.9004i | −0.0893869 | − | 1.06239i | ||||
\(225\) | −4.45221 | − | 5.58290i | −0.296814 | − | 0.372193i | ||||
\(226\) | 13.3374 | + | 23.1011i | 0.887194 | + | 1.53666i | ||||
\(227\) | 3.67916 | − | 6.37249i | 0.244194 | − | 0.422957i | −0.717711 | − | 0.696342i | \(-0.754810\pi\) |
0.961905 | + | 0.273385i | \(0.0881432\pi\) | |||||||
\(228\) | −14.9127 | + | 2.24773i | −0.987620 | + | 0.148860i | ||||
\(229\) | −1.40133 | + | 1.30024i | −0.0926024 | + | 0.0859225i | −0.725116 | − | 0.688627i | \(-0.758214\pi\) |
0.632513 | + | 0.774549i | \(0.282023\pi\) | |||||||
\(230\) | 4.92666 | + | 2.37255i | 0.324854 | + | 0.156442i | ||||
\(231\) | 22.9604 | + | 28.2577i | 1.51068 | + | 1.85922i | ||||
\(232\) | −11.1467 | + | 5.36796i | −0.731815 | + | 0.352424i | ||||
\(233\) | −5.39210 | + | 13.7389i | −0.353248 | + | 0.900062i | 0.638237 | + | 0.769840i | \(0.279664\pi\) |
−0.991485 | + | 0.130222i | \(0.958431\pi\) | |||||||
\(234\) | 0.265694 | − | 3.54543i | 0.0173689 | − | 0.231772i | ||||
\(235\) | −5.31277 | − | 1.63877i | −0.346567 | − | 0.106902i | ||||
\(236\) | −1.13224 | − | 15.1087i | −0.0737027 | − | 0.983494i | ||||
\(237\) | −3.80904 | + | 16.6885i | −0.247424 | + | 1.08403i | ||||
\(238\) | −9.62816 | + | 17.0341i | −0.624101 | + | 1.10416i | ||||
\(239\) | −5.82929 | − | 25.5398i | −0.377066 | − | 1.65203i | −0.706395 | − | 0.707818i | \(-0.749680\pi\) |
0.329330 | − | 0.944215i | \(-0.393177\pi\) | |||||||
\(240\) | 12.5351 | − | 3.86658i | 0.809140 | − | 0.249587i | ||||
\(241\) | −6.13950 | − | 15.6432i | −0.395480 | − | 1.00767i | −0.980477 | − | 0.196632i | \(-0.937000\pi\) |
0.584997 | − | 0.811035i | \(-0.301096\pi\) | |||||||
\(242\) | −35.4145 | − | 32.8599i | −2.27653 | − | 2.11231i | ||||
\(243\) | 14.7067 | + | 10.0268i | 0.943432 | + | 0.643221i | ||||
\(244\) | −6.16780 | −0.394853 | ||||||||
\(245\) | −8.17815 | + | 1.38599i | −0.522483 | + | 0.0885477i | ||||
\(246\) | 30.1308 | 1.92107 | ||||||||
\(247\) | −4.62958 | − | 3.15640i | −0.294573 | − | 0.200837i | ||||
\(248\) | −7.56523 | − | 7.01951i | −0.480393 | − | 0.445739i | ||||
\(249\) | −4.71382 | − | 12.0106i | −0.298726 | − | 0.761142i | ||||
\(250\) | −17.4261 | + | 5.37523i | −1.10212 | + | 0.339960i | ||||
\(251\) | −2.42269 | − | 10.6145i | −0.152919 | − | 0.669982i | −0.992028 | − | 0.126019i | \(-0.959780\pi\) |
0.839109 | − | 0.543964i | \(-0.183077\pi\) | |||||||
\(252\) | 2.36757 | + | 5.87402i | 0.149143 | + | 0.370028i | ||||
\(253\) | −3.53481 | + | 15.4870i | −0.222232 | + | 0.973662i | ||||
\(254\) | 0.227840 | + | 3.04031i | 0.0142960 | + | 0.190766i | ||||
\(255\) | −10.4441 | − | 3.22158i | −0.654035 | − | 0.201743i | ||||
\(256\) | 1.53437 | − | 20.4747i | 0.0958981 | − | 1.27967i | ||||
\(257\) | −0.977266 | + | 2.49003i | −0.0609602 | + | 0.155324i | −0.958109 | − | 0.286405i | \(-0.907540\pi\) |
0.897148 | + | 0.441729i | \(0.145635\pi\) | |||||||
\(258\) | 16.3195 | − | 7.85907i | 1.01601 | − | 0.489285i | ||||
\(259\) | 10.3028 | + | 4.84605i | 0.640183 | + | 0.301119i | ||||
\(260\) | −1.28690 | − | 0.619740i | −0.0798103 | − | 0.0384346i | ||||
\(261\) | 12.6597 | − | 11.7465i | 0.783616 | − | 0.727089i | ||||
\(262\) | 10.3719 | − | 1.56332i | 0.640781 | − | 0.0965822i | ||||
\(263\) | 7.33508 | − | 12.7047i | 0.452301 | − | 0.783408i | −0.546228 | − | 0.837637i | \(-0.683937\pi\) |
0.998529 | + | 0.0542290i | \(0.0172701\pi\) | |||||||
\(264\) | 9.78883 | + | 16.9548i | 0.602461 | + | 1.04349i | ||||
\(265\) | −0.976708 | − | 1.22475i | −0.0599987 | − | 0.0752360i | ||||
\(266\) | 26.2802 | + | 3.71577i | 1.61134 | + | 0.227829i | ||||
\(267\) | 18.6473 | − | 23.3830i | 1.14120 | − | 1.43102i | ||||
\(268\) | −9.74180 | − | 1.46834i | −0.595075 | − | 0.0896931i | ||||
\(269\) | −7.59262 | + | 5.17656i | −0.462930 | + | 0.315620i | −0.772229 | − | 0.635345i | \(-0.780858\pi\) |
0.309299 | + | 0.950965i | \(0.399906\pi\) | |||||||
\(270\) | 3.96942 | − | 2.70631i | 0.241571 | − | 0.164701i | ||||
\(271\) | −23.5654 | − | 3.55192i | −1.43150 | − | 0.215764i | −0.612913 | − | 0.790150i | \(-0.710003\pi\) |
−0.818584 | + | 0.574386i | \(0.805241\pi\) | |||||||
\(272\) | −12.7688 | + | 16.0116i | −0.774225 | + | 0.970847i | ||||
\(273\) | −2.10797 | + | 5.51882i | −0.127580 | + | 0.334014i | ||||
\(274\) | −0.776746 | − | 0.974008i | −0.0469249 | − | 0.0588420i | ||||
\(275\) | −11.0808 | − | 19.1926i | −0.668199 | − | 1.15735i | ||||
\(276\) | −3.46868 | + | 6.00794i | −0.208790 | + | 0.361635i | ||||
\(277\) | 24.9368 | − | 3.75862i | 1.49831 | − | 0.225834i | 0.651874 | − | 0.758327i | \(-0.273983\pi\) |
0.846434 | + | 0.532493i | \(0.178745\pi\) | |||||||
\(278\) | −19.0527 | + | 17.6783i | −1.14271 | + | 1.06028i | ||||
\(279\) | 12.9793 | + | 6.25049i | 0.777049 | + | 0.374207i | ||||
\(280\) | −4.45993 | + | 0.0407650i | −0.266532 | + | 0.00243618i | ||||
\(281\) | −6.23067 | + | 3.00053i | −0.371691 | + | 0.178997i | −0.610398 | − | 0.792095i | \(-0.708991\pi\) |
0.238708 | + | 0.971091i | \(0.423276\pi\) | |||||||
\(282\) | 6.85267 | − | 17.4603i | 0.408070 | − | 1.03975i | ||||
\(283\) | −1.69550 | + | 22.6249i | −0.100787 | + | 1.34491i | 0.685962 | + | 0.727637i | \(0.259382\pi\) |
−0.786749 | + | 0.617273i | \(0.788237\pi\) | |||||||
\(284\) | 10.5794 | + | 3.26332i | 0.627773 | + | 0.193642i | ||||
\(285\) | 1.10792 | + | 14.7841i | 0.0656274 | + | 0.875736i | ||||
\(286\) | 2.45534 | − | 10.7576i | 0.145187 | − | 0.636107i | ||||
\(287\) | −19.1081 | − | 5.70334i | −1.12792 | − | 0.336657i | ||||
\(288\) | 2.66506 | + | 11.6764i | 0.157040 | + | 0.688037i | ||||
\(289\) | 0.0605396 | − | 0.0186740i | 0.00356115 | − | 0.00109847i | ||||
\(290\) | −6.74046 | − | 17.1744i | −0.395813 | − | 1.00852i | ||||
\(291\) | −8.87367 | − | 8.23357i | −0.520184 | − | 0.482660i | ||||
\(292\) | 1.25345 | + | 0.854588i | 0.0733527 | + | 0.0500110i | ||||
\(293\) | 26.7661 | 1.56369 | 0.781847 | − | 0.623470i | \(-0.214278\pi\) | ||||
0.781847 | + | 0.623470i | \(0.214278\pi\) | |||||||
\(294\) | −2.60098 | − | 27.8628i | −0.151692 | − | 1.62499i | ||||
\(295\) | −14.8943 | −0.867180 | ||||||||
\(296\) | 5.05828 | + | 3.44868i | 0.294007 | + | 0.200450i | ||||
\(297\) | 10.2308 | + | 9.49280i | 0.593652 | + | 0.550828i | ||||
\(298\) | 10.4282 | + | 26.5706i | 0.604088 | + | 1.53919i | ||||
\(299\) | −2.46297 | + | 0.759726i | −0.142437 | + | 0.0439361i | ||||
\(300\) | −2.15363 | − | 9.43569i | −0.124340 | − | 0.544770i | ||||
\(301\) | −11.8370 | + | 1.89495i | −0.682274 | + | 0.109223i | ||||
\(302\) | −5.45702 | + | 23.9087i | −0.314016 | + | 1.37579i | ||||
\(303\) | 1.77526 | + | 23.6892i | 0.101986 | + | 1.36091i | ||||
\(304\) | 26.5455 | + | 8.18819i | 1.52249 | + | 0.469625i | ||||
\(305\) | −0.453108 | + | 6.04631i | −0.0259449 | + | 0.346211i | ||||
\(306\) | 5.36557 | − | 13.6713i | 0.306729 | − | 0.781534i | ||||
\(307\) | 22.9247 | − | 11.0400i | 1.30838 | − | 0.630084i | 0.355856 | − | 0.934541i | \(-0.384189\pi\) |
0.952526 | + | 0.304457i | \(0.0984751\pi\) | |||||||
\(308\) | 4.54867 | + | 19.1217i | 0.259184 | + | 1.08956i | ||||
\(309\) | 5.50815 | + | 2.65259i | 0.313348 | + | 0.150900i | ||||
\(310\) | 11.2818 | − | 10.4680i | 0.640762 | − | 0.594540i | ||||
\(311\) | 18.5117 | − | 2.79020i | 1.04970 | − | 0.158217i | 0.398538 | − | 0.917152i | \(-0.369518\pi\) |
0.651167 | + | 0.758935i | \(0.274280\pi\) | |||||||
\(312\) | −1.58829 | + | 2.75101i | −0.0899194 | + | 0.155745i | ||||
\(313\) | 7.58611 | + | 13.1395i | 0.428792 | + | 0.742690i | 0.996766 | − | 0.0803567i | \(-0.0256059\pi\) |
−0.567974 | + | 0.823046i | \(0.692273\pi\) | |||||||
\(314\) | 4.92450 | + | 6.17513i | 0.277906 | + | 0.348483i | ||||
\(315\) | 5.93225 | − | 1.88940i | 0.334244 | − | 0.106456i | ||||
\(316\) | −5.76149 | + | 7.22468i | −0.324109 | + | 0.406420i | ||||
\(317\) | −17.0681 | − | 2.57260i | −0.958638 | − | 0.144491i | −0.348957 | − | 0.937139i | \(-0.613464\pi\) |
−0.609680 | + | 0.792647i | \(0.708702\pi\) | |||||||
\(318\) | 4.36661 | − | 2.97711i | 0.244868 | − | 0.166948i | ||||
\(319\) | 44.2843 | − | 30.1925i | 2.47944 | − | 1.69046i | ||||
\(320\) | 1.03357 | + | 0.155786i | 0.0577783 | + | 0.00870867i | ||||
\(321\) | −26.0355 | + | 32.6475i | −1.45316 | + | 1.82220i | ||||
\(322\) | 8.87367 | − | 8.38579i | 0.494510 | − | 0.467322i | ||||
\(323\) | −14.4311 | − | 18.0960i | −0.802965 | − | 1.00689i | ||||
\(324\) | 6.63809 | + | 11.4975i | 0.368783 | + | 0.638751i | ||||
\(325\) | 1.79793 | − | 3.11410i | 0.0997311 | − | 0.172739i | ||||
\(326\) | −5.11422 | + | 0.770845i | −0.283250 | + | 0.0426931i | ||||
\(327\) | −22.3451 | + | 20.7332i | −1.23569 | + | 1.14655i | ||||
\(328\) | −9.66054 | − | 4.65227i | −0.533414 | − | 0.256879i | ||||
\(329\) | −7.65076 | + | 9.77573i | −0.421800 | + | 0.538953i | ||||
\(330\) | −26.3043 | + | 12.6675i | −1.44800 | + | 0.697321i | ||||
\(331\) | −6.28922 | + | 16.0247i | −0.345687 | + | 0.880795i | 0.647264 | + | 0.762266i | \(0.275913\pi\) |
−0.992951 | + | 0.118529i | \(0.962182\pi\) | |||||||
\(332\) | 0.520512 | − | 6.94575i | 0.0285668 | − | 0.381197i | ||||
\(333\) | −8.16609 | − | 2.51891i | −0.447499 | − | 0.138035i | ||||
\(334\) | −2.52887 | − | 33.7454i | −0.138374 | − | 1.84647i | ||||
\(335\) | −2.15508 | + | 9.44204i | −0.117745 | + | 0.515874i | ||||
\(336\) | 1.92175 | − | 29.2261i | 0.104840 | − | 1.59442i | ||||
\(337\) | 3.97290 | + | 17.4064i | 0.216417 | + | 0.948187i | 0.960101 | + | 0.279655i | \(0.0902199\pi\) |
−0.743683 | + | 0.668532i | \(0.766923\pi\) | |||||||
\(338\) | 1.71082 | − | 0.527718i | 0.0930564 | − | 0.0287041i | ||||
\(339\) | 12.1543 | + | 30.9686i | 0.660130 | + | 1.68198i | ||||
\(340\) | −4.32517 | − | 4.01317i | −0.234565 | − | 0.217645i | ||||
\(341\) | 36.9404 | + | 25.1855i | 2.00043 | + | 1.36387i | ||||
\(342\) | −19.9215 | −1.07723 | ||||||||
\(343\) | −3.62456 | + | 18.1621i | −0.195708 | + | 0.980662i | ||||
\(344\) | −6.44584 | −0.347536 | ||||||||
\(345\) | 5.63478 | + | 3.84172i | 0.303366 | + | 0.206832i | ||||
\(346\) | −0.640650 | − | 0.594437i | −0.0344416 | − | 0.0319571i | ||||
\(347\) | 0.621933 | + | 1.58466i | 0.0333871 | + | 0.0850690i | 0.946595 | − | 0.322425i | \(-0.104498\pi\) |
−0.913208 | + | 0.407494i | \(0.866403\pi\) | |||||||
\(348\) | 22.3670 | − | 6.89929i | 1.19899 | − | 0.369841i | ||||
\(349\) | −0.272143 | − | 1.19234i | −0.0145675 | − | 0.0638244i | 0.967122 | − | 0.254314i | \(-0.0818496\pi\) |
−0.981689 | + | 0.190489i | \(0.938992\pi\) | |||||||
\(350\) | −1.11758 | + | 16.9963i | −0.0597373 | + | 0.908492i | ||||
\(351\) | −0.503902 | + | 2.20774i | −0.0268963 | + | 0.117840i | ||||
\(352\) | 2.77771 | + | 37.0659i | 0.148052 | + | 1.97562i | ||||
\(353\) | 3.19441 | + | 0.985346i | 0.170021 | + | 0.0524447i | 0.378597 | − | 0.925562i | \(-0.376407\pi\) |
−0.208576 | + | 0.978006i | \(0.566883\pi\) | |||||||
\(354\) | 3.75508 | − | 50.1081i | 0.199580 | − | 2.66322i | ||||
\(355\) | 3.97624 | − | 10.1313i | 0.211037 | − | 0.537714i | ||||
\(356\) | 14.5465 | − | 7.00521i | 0.770961 | − | 0.371275i | ||||
\(357\) | −15.0403 | + | 19.2176i | −0.796015 | + | 1.01710i | ||||
\(358\) | 11.7223 | + | 5.64515i | 0.619542 | + | 0.298355i | ||||
\(359\) | −15.4690 | + | 14.3532i | −0.816424 | + | 0.757531i | −0.973165 | − | 0.230109i | \(-0.926092\pi\) |
0.156741 | + | 0.987640i | \(0.449901\pi\) | |||||||
\(360\) | 3.31028 | − | 0.498944i | 0.174467 | − | 0.0262966i | ||||
\(361\) | −6.19795 | + | 10.7352i | −0.326208 | + | 0.565009i | ||||
\(362\) | 7.39604 | + | 12.8103i | 0.388727 | + | 0.673295i | ||||
\(363\) | −37.5668 | − | 47.1073i | −1.97175 | − | 2.47249i | ||||
\(364\) | −2.31791 | + | 2.19047i | −0.121491 | + | 0.114812i | ||||
\(365\) | 0.929838 | − | 1.16598i | 0.0486700 | − | 0.0610302i | ||||
\(366\) | −20.2270 | − | 3.04874i | −1.05728 | − | 0.159360i | ||||
\(367\) | 19.3828 | − | 13.2150i | 1.01178 | − | 0.689817i | 0.0605033 | − | 0.998168i | \(-0.480729\pi\) |
0.951273 | + | 0.308351i | \(0.0997771\pi\) | |||||||
\(368\) | 10.5582 | − | 7.19848i | 0.550386 | − | 0.375247i | ||||
\(369\) | 14.8002 | + | 2.23077i | 0.770466 | + | 0.116129i | ||||
\(370\) | −5.69223 | + | 7.13783i | −0.295925 | + | 0.371078i | ||||
\(371\) | −3.33271 | + | 1.06146i | −0.173026 | + | 0.0551082i | ||||
\(372\) | 12.1737 | + | 15.2654i | 0.631179 | + | 0.791474i | ||||
\(373\) | −1.36021 | − | 2.35596i | −0.0704291 | − | 0.121987i | 0.828660 | − | 0.559752i | \(-0.189104\pi\) |
−0.899089 | + | 0.437765i | \(0.855770\pi\) | |||||||
\(374\) | 22.7899 | − | 39.4733i | 1.17844 | − | 2.04112i | ||||
\(375\) | −22.4898 | + | 3.38980i | −1.16137 | + | 0.175048i | ||||
\(376\) | −4.89302 | + | 4.54006i | −0.252338 | + | 0.234136i | ||||
\(377\) | 7.83527 | + | 3.77327i | 0.403537 | + | 0.194333i | ||||
\(378\) | −2.48239 | − | 10.4355i | −0.127680 | − | 0.536743i | ||||
\(379\) | 12.4586 | − | 5.99973i | 0.639953 | − | 0.308185i | −0.0856224 | − | 0.996328i | \(-0.527288\pi\) |
0.725576 | + | 0.688142i | \(0.241574\pi\) | |||||||
\(380\) | −2.92396 | + | 7.45012i | −0.149996 | + | 0.382183i | ||||
\(381\) | −0.284157 | + | 3.79181i | −0.0145578 | + | 0.194260i | ||||
\(382\) | −2.54526 | − | 0.785109i | −0.130227 | − | 0.0401696i | ||||
\(383\) | 0.767295 | + | 10.2388i | 0.0392069 | + | 0.523180i | 0.981885 | + | 0.189477i | \(0.0606793\pi\) |
−0.942678 | + | 0.333703i | \(0.891702\pi\) | |||||||
\(384\) | 5.20855 | − | 22.8202i | 0.265798 | − | 1.16454i | ||||
\(385\) | 19.0792 | − | 3.05432i | 0.972366 | − | 0.155663i | ||||
\(386\) | 10.4130 | + | 45.6221i | 0.530005 | + | 2.32210i | ||||
\(387\) | 8.59798 | − | 2.65213i | 0.437060 | − | 0.134815i | ||||
\(388\) | −2.38741 | − | 6.08303i | −0.121203 | − | 0.308819i | ||||
\(389\) | −27.7764 | − | 25.7727i | −1.40832 | − | 1.30673i | −0.893236 | − | 0.449588i | \(-0.851571\pi\) |
−0.515083 | − | 0.857140i | \(-0.672239\pi\) | |||||||
\(390\) | −3.91401 | − | 2.66853i | −0.198194 | − | 0.135126i | ||||
\(391\) | −10.6470 | −0.538443 | ||||||||
\(392\) | −3.46816 | + | 9.33497i | −0.175168 | + | 0.471487i | ||||
\(393\) | 13.0818 | 0.659888 | ||||||||
\(394\) | −1.26532 | − | 0.862680i | −0.0637458 | − | 0.0434612i | ||||
\(395\) | 6.65911 | + | 6.17875i | 0.335056 | + | 0.310887i | ||||
\(396\) | −5.38980 | − | 13.7330i | −0.270848 | − | 0.690109i | ||||
\(397\) | −4.52315 | + | 1.39521i | −0.227010 | + | 0.0700235i | −0.406174 | − | 0.913796i | \(-0.633137\pi\) |
0.179163 | + | 0.983819i | \(0.442661\pi\) | |||||||
\(398\) | −4.94134 | − | 21.6494i | −0.247687 | − | 1.08519i | ||||
\(399\) | 31.7193 | + | 9.46748i | 1.58795 | + | 0.473967i | ||||
\(400\) | −3.96701 | + | 17.3806i | −0.198350 | + | 0.869030i | ||||
\(401\) | −1.32096 | − | 17.6270i | −0.0659656 | − | 0.880249i | −0.927804 | − | 0.373067i | \(-0.878306\pi\) |
0.861839 | − | 0.507182i | \(-0.169313\pi\) | |||||||
\(402\) | −31.2220 | − | 9.63072i | −1.55721 | − | 0.480337i | ||||
\(403\) | −0.542115 | + | 7.23402i | −0.0270047 | + | 0.360352i | ||||
\(404\) | −4.68518 | + | 11.9376i | −0.233096 | + | 0.593920i | ||||
\(405\) | 11.7587 | − | 5.66269i | 0.584294 | − | 0.281381i | ||||
\(406\) | −41.1923 | + | 0.376509i | −2.04434 | + | 0.0186858i | ||||
\(407\) | −23.8955 | − | 11.5075i | −1.18446 | − | 0.570404i | ||||
\(408\) | −9.61895 | + | 8.92508i | −0.476209 | + | 0.441857i | ||||
\(409\) | 22.4781 | − | 3.38803i | 1.11147 | − | 0.167527i | 0.432458 | − | 0.901654i | \(-0.357646\pi\) |
0.679013 | + | 0.734127i | \(0.262408\pi\) | |||||||
\(410\) | 7.99497 | − | 13.8477i | 0.394844 | − | 0.683889i | ||||
\(411\) | −0.776869 | − | 1.34558i | −0.0383201 | − | 0.0663724i | ||||
\(412\) | 2.05772 | + | 2.58030i | 0.101377 | + | 0.127122i | ||||
\(413\) | −11.8661 | + | 31.0664i | −0.583894 | + | 1.52868i | ||||
\(414\) | −5.71361 | + | 7.16464i | −0.280809 | + | 0.352123i | ||||
\(415\) | −6.77069 | − | 1.02052i | −0.332360 | − | 0.0500953i | ||||
\(416\) | −4.98306 | + | 3.39740i | −0.244315 | + | 0.166571i | ||||
\(417\) | −26.7828 | + | 18.2602i | −1.31156 | + | 0.894206i | ||||
\(418\) | −61.1363 | − | 9.21482i | −2.99028 | − | 0.450712i | ||||
\(419\) | −18.9334 | + | 23.7417i | −0.924955 | + | 1.15986i | 0.0618733 | + | 0.998084i | \(0.480293\pi\) |
−0.986828 | + | 0.161773i | \(0.948279\pi\) | |||||||
\(420\) | 8.35518 | + | 1.18134i | 0.407691 | + | 0.0576437i | ||||
\(421\) | 4.85815 | + | 6.09193i | 0.236772 | + | 0.296903i | 0.885994 | − | 0.463696i | \(-0.153477\pi\) |
−0.649222 | + | 0.760599i | \(0.724906\pi\) | |||||||
\(422\) | 16.7078 | + | 28.9387i | 0.813323 | + | 1.40872i | ||||
\(423\) | 4.65871 | − | 8.06912i | 0.226514 | − | 0.392334i | ||||
\(424\) | −1.85970 | + | 0.280305i | −0.0903150 | + | 0.0136128i | ||||
\(425\) | 10.8885 | − | 10.1031i | 0.528171 | − | 0.490071i | ||||
\(426\) | 33.0817 | + | 15.9313i | 1.60281 | + | 0.771875i | ||||
\(427\) | 12.2503 | + | 5.76212i | 0.592836 | + | 0.278849i | ||||
\(428\) | −20.3098 | + | 9.78071i | −0.981714 | + | 0.472768i | ||||
\(429\) | 5.02768 | − | 12.8103i | 0.242739 | − | 0.618488i | ||||
\(430\) | 0.718341 | − | 9.58559i | 0.0346415 | − | 0.462258i | ||||
\(431\) | −23.0543 | − | 7.11131i | −1.11049 | − | 0.342540i | −0.315353 | − | 0.948974i | \(-0.602123\pi\) |
−0.795133 | + | 0.606435i | \(0.792599\pi\) | |||||||
\(432\) | −0.838997 | − | 11.1956i | −0.0403663 | − | 0.538651i | ||||
\(433\) | 8.50818 | − | 37.2768i | 0.408877 | − | 1.79141i | −0.180527 | − | 0.983570i | \(-0.557780\pi\) |
0.589404 | − | 0.807838i | \(-0.299362\pi\) | |||||||
\(434\) | −12.8459 | − | 31.8711i | −0.616623 | − | 1.52986i | ||||
\(435\) | −5.12024 | − | 22.4332i | −0.245497 | − | 1.07559i | ||||
\(436\) | −15.7243 | + | 4.85031i | −0.753058 | + | 0.232288i | ||||
\(437\) | 5.27631 | + | 13.4438i | 0.252400 | + | 0.643106i | ||||
\(438\) | 3.68822 | + | 3.42217i | 0.176230 | + | 0.163518i | ||||
\(439\) | 17.6062 | + | 12.0037i | 0.840298 | + | 0.572906i | 0.905200 | − | 0.424986i | \(-0.139721\pi\) |
−0.0649016 | + | 0.997892i | \(0.520673\pi\) | |||||||
\(440\) | 10.3896 | 0.495303 | ||||||||
\(441\) | 0.785257 | − | 13.8787i | 0.0373932 | − | 0.660890i | ||||
\(442\) | 7.39559 | 0.351773 | ||||||||
\(443\) | 32.9649 | + | 22.4751i | 1.56621 | + | 1.06782i | 0.962736 | + | 0.270442i | \(0.0871700\pi\) |
0.603475 | + | 0.797382i | \(0.293782\pi\) | |||||||
\(444\) | −8.49063 | − | 7.87815i | −0.402947 | − | 0.373880i | ||||
\(445\) | −5.79859 | − | 14.7746i | −0.274880 | − | 0.700382i | ||||
\(446\) | 12.5809 | − | 3.88068i | 0.595721 | − | 0.183756i | ||||
\(447\) | 7.92154 | + | 34.7065i | 0.374676 | + | 1.64156i | ||||
\(448\) | 1.14837 | − | 2.03170i | 0.0542554 | − | 0.0959886i | ||||
\(449\) | 1.69735 | − | 7.43660i | 0.0801031 | − | 0.350955i | −0.918954 | − | 0.394364i | \(-0.870965\pi\) |
0.999057 | + | 0.0434094i | \(0.0138220\pi\) | |||||||
\(450\) | −0.955395 | − | 12.7489i | −0.0450378 | − | 0.600987i | ||||
\(451\) | 44.3878 | + | 13.6918i | 2.09014 | + | 0.644723i | ||||
\(452\) | −1.34211 | + | 17.9092i | −0.0631274 | + | 0.842376i | ||||
\(453\) | −11.1741 | + | 28.4710i | −0.525003 | + | 1.33769i | ||||
\(454\) | 11.8694 | − | 5.71601i | 0.557059 | − | 0.268265i | ||||
\(455\) | 1.97704 | + | 2.43317i | 0.0926851 | + | 0.114069i | ||||
\(456\) | 16.0364 | + | 7.72273i | 0.750974 | + | 0.361650i | ||||
\(457\) | −8.52377 | + | 7.90890i | −0.398725 | + | 0.369963i | −0.853898 | − | 0.520440i | \(-0.825768\pi\) |
0.455173 | + | 0.890403i | \(0.349577\pi\) | |||||||
\(458\) | −3.38429 | + | 0.510100i | −0.158138 | + | 0.0238354i | ||||
\(459\) | −4.67711 | + | 8.10099i | −0.218309 | + | 0.378122i | ||||
\(460\) | 1.84078 | + | 3.18832i | 0.0858267 | + | 0.148656i | ||||
\(461\) | 9.84948 | + | 12.3509i | 0.458736 | + | 0.575237i | 0.956373 | − | 0.292149i | \(-0.0943702\pi\) |
−0.497637 | + | 0.867385i | \(0.665799\pi\) | |||||||
\(462\) | 5.46534 | + | 64.9572i | 0.254271 | + | 3.02208i | ||||
\(463\) | −2.70346 | + | 3.39003i | −0.125640 | + | 0.157548i | −0.840673 | − | 0.541543i | \(-0.817840\pi\) |
0.715033 | + | 0.699091i | \(0.246412\pi\) | |||||||
\(464\) | −42.6340 | − | 6.42604i | −1.97923 | − | 0.298322i | ||||
\(465\) | 15.8590 | − | 10.8125i | 0.735445 | − | 0.501418i | ||||
\(466\) | −21.8326 | + | 14.8852i | −1.01138 | + | 0.689545i | ||||
\(467\) | 4.53330 | + | 0.683286i | 0.209776 | + | 0.0316187i | 0.253090 | − | 0.967443i | \(-0.418553\pi\) |
−0.0433133 | + | 0.999062i | \(0.513791\pi\) | |||||||
\(468\) | 1.49246 | − | 1.87149i | 0.0689892 | − | 0.0865097i | ||||
\(469\) | 17.9772 | + | 12.0174i | 0.830109 | + | 0.554913i | ||||
\(470\) | −6.20622 | − | 7.78236i | −0.286272 | − | 0.358973i | ||||
\(471\) | 4.92528 | + | 8.53084i | 0.226945 | + | 0.393080i | ||||
\(472\) | −8.94078 | + | 15.4859i | −0.411533 | + | 0.712796i | ||||
\(473\) | 27.6128 | − | 4.16196i | 1.26964 | − | 0.191367i | ||||
\(474\) | −22.4657 | + | 20.8451i | −1.03189 | + | 0.957449i | ||||
\(475\) | −18.1530 | − | 8.74202i | −0.832917 | − | 0.401112i | ||||
\(476\) | −11.8164 | + | 5.82414i | −0.541606 | + | 0.266949i | ||||
\(477\) | 2.36529 | − | 1.13906i | 0.108299 | − | 0.0521540i | ||||
\(478\) | 17.1350 | − | 43.6593i | 0.783737 | − | 1.99693i | ||||
\(479\) | 2.36456 | − | 31.5529i | 0.108040 | − | 1.44169i | −0.635037 | − | 0.772481i | \(-0.719015\pi\) |
0.743077 | − | 0.669206i | \(-0.233366\pi\) | |||||||
\(480\) | 15.2486 | + | 4.70357i | 0.696000 | + | 0.214688i | ||||
\(481\) | −0.321589 | − | 4.29131i | −0.0146632 | − | 0.195667i | ||||
\(482\) | 6.69494 | − | 29.3324i | 0.304946 | − | 1.33606i | ||||
\(483\) | 12.5022 | − | 8.69230i | 0.568870 | − | 0.395513i | ||||
\(484\) | −7.23779 | − | 31.7108i | −0.328991 | − | 1.44140i | ||||
\(485\) | −6.13860 | + | 1.89351i | −0.278739 | + | 0.0859797i | ||||
\(486\) | 11.6425 | + | 29.6647i | 0.528116 | + | 1.34562i | ||||
\(487\) | −4.70108 | − | 4.36196i | −0.213026 | − | 0.197659i | 0.566441 | − | 0.824102i | \(-0.308320\pi\) |
−0.779468 | + | 0.626443i | \(0.784510\pi\) | |||||||
\(488\) | 6.01447 | + | 4.10060i | 0.272262 | + | 0.185625i | ||||
\(489\) | −6.45039 | −0.291697 | ||||||||
\(490\) | −13.4955 | − | 6.19780i | −0.609665 | − | 0.279988i | ||||
\(491\) | −12.6749 | −0.572012 | −0.286006 | − | 0.958228i | \(-0.592328\pi\) | ||||
−0.286006 | + | 0.958228i | \(0.592328\pi\) | |||||||
\(492\) | 16.7612 | + | 11.4276i | 0.755653 | + | 0.515195i | ||||
\(493\) | 26.3336 | + | 24.4341i | 1.18601 | + | 1.10045i | ||||
\(494\) | −3.66502 | − | 9.33831i | −0.164897 | − | 0.420150i | ||||
\(495\) | −13.8584 | + | 4.27476i | −0.622891 | + | 0.192136i | ||||
\(496\) | −8.00307 | − | 35.0638i | −0.359349 | − | 1.57441i | ||||
\(497\) | −17.9639 | − | 16.3651i | −0.805793 | − | 0.734076i | ||||
\(498\) | 5.14027 | − | 22.5210i | 0.230341 | − | 1.00919i | ||||
\(499\) | −2.40106 | − | 32.0399i | −0.107486 | − | 1.43430i | −0.746642 | − | 0.665227i | \(-0.768335\pi\) |
0.639155 | − | 0.769078i | \(-0.279284\pi\) | |||||||
\(500\) | −11.7324 | − | 3.61898i | −0.524691 | − | 0.161846i | ||||
\(501\) | 3.15395 | − | 42.0865i | 0.140908 | − | 1.88029i | ||||
\(502\) | 7.12143 | − | 18.1451i | 0.317845 | − | 0.809856i | ||||
\(503\) | −22.9745 | + | 11.0639i | −1.02438 | + | 0.493316i | −0.869143 | − | 0.494562i | \(-0.835329\pi\) |
−0.155238 | + | 0.987877i | \(0.549614\pi\) | |||||||
\(504\) | 1.59657 | − | 7.30205i | 0.0711169 | − | 0.325259i | ||||
\(505\) | 11.3583 | + | 5.46987i | 0.505438 | + | 0.243406i | ||||
\(506\) | −20.8483 | + | 19.3444i | −0.926821 | + | 0.859965i | ||||
\(507\) | 2.20796 | − | 0.332796i | 0.0980590 | − | 0.0147800i | ||||
\(508\) | −1.02635 | + | 1.77768i | −0.0455367 | + | 0.0788719i | ||||
\(509\) | −8.94995 | − | 15.5018i | −0.396700 | − | 0.687104i | 0.596617 | − | 0.802526i | \(-0.296511\pi\) |
−0.993317 | + | 0.115422i | \(0.963178\pi\) | |||||||
\(510\) | −12.2005 | − | 15.2989i | −0.540247 | − | 0.677449i | ||||
\(511\) | −1.69120 | − | 2.86837i | −0.0748142 | − | 0.126889i | ||||
\(512\) | 9.84766 | − | 12.3486i | 0.435209 | − | 0.545735i | ||||
\(513\) | 12.5468 | + | 1.89113i | 0.553955 | + | 0.0834953i | ||||
\(514\) | −3.95695 | + | 2.69780i | −0.174534 | + | 0.118995i | ||||
\(515\) | 2.68064 | − | 1.82763i | 0.118123 | − | 0.0805350i | ||||
\(516\) | 12.0589 | + | 1.81759i | 0.530865 | + | 0.0800150i | ||||
\(517\) | 18.0294 | − | 22.6081i | 0.792931 | − | 0.994303i | ||||
\(518\) | 10.3531 | + | 17.5594i | 0.454888 | + | 0.771517i | ||||
\(519\) | −0.679586 | − | 0.852173i | −0.0298305 | − | 0.0374063i | ||||
\(520\) | 0.842884 | + | 1.45992i | 0.0369629 | + | 0.0640216i | ||||
\(521\) | 18.6377 | − | 32.2814i | 0.816531 | − | 1.41427i | −0.0916931 | − | 0.995787i | \(-0.529228\pi\) |
0.908224 | − | 0.418485i | \(-0.137439\pi\) | |||||||
\(522\) | 30.5740 | − | 4.60828i | 1.33819 | − | 0.201699i | ||||
\(523\) | −21.8149 | + | 20.2412i | −0.953898 | + | 0.885088i | −0.993466 | − | 0.114129i | \(-0.963592\pi\) |
0.0395683 | + | 0.999217i | \(0.487402\pi\) | |||||||
\(524\) | 6.36263 | + | 3.06408i | 0.277953 | + | 0.133855i | ||||
\(525\) | −4.53757 | + | 20.7529i | −0.198036 | + | 0.905733i | ||||
\(526\) | 23.6639 | − | 11.3959i | 1.03179 | − | 0.496886i | ||||
\(527\) | −10.9478 | + | 27.8945i | −0.476893 | + | 1.21510i | ||||
\(528\) | −5.09865 | + | 68.0367i | −0.221890 | + | 2.96092i | ||||
\(529\) | −15.6299 | − | 4.82119i | −0.679561 | − | 0.209617i | ||||
\(530\) | −0.209591 | − | 2.79679i | −0.00910403 | − | 0.121485i | ||||
\(531\) | 5.55430 | − | 24.3350i | 0.241036 | − | 1.05605i | ||||
\(532\) | 13.2099 | + | 12.0342i | 0.572722 | + | 0.521748i | ||||
\(533\) | 1.67715 | + | 7.34806i | 0.0726453 | + | 0.318280i | ||||
\(534\) | 51.1672 | − | 15.7830i | 2.21422 | − | 0.682997i | ||||
\(535\) | 8.09602 | + | 20.6283i | 0.350021 | + | 0.891840i | ||||
\(536\) | 8.52341 | + | 7.90857i | 0.368155 | + | 0.341598i | ||||
\(537\) | 13.4071 | + | 9.14083i | 0.578561 | + | 0.394456i | ||||
\(538\) | −16.4523 | −0.709309 | ||||||||
\(539\) | 8.82953 | − | 42.2286i | 0.380315 | − | 1.81891i | ||||
\(540\) | 3.23453 | 0.139192 | ||||||||
\(541\) | 3.25841 | + | 2.22154i | 0.140090 | + | 0.0955116i | 0.631337 | − | 0.775509i | \(-0.282506\pi\) |
−0.491247 | + | 0.871020i | \(0.663459\pi\) | |||||||
\(542\) | −31.2773 | − | 29.0211i | −1.34347 | − | 1.24656i | ||||
\(543\) | 6.73994 | + | 17.1731i | 0.289238 | + | 0.736967i | ||||
\(544\) | −23.8060 | + | 7.34319i | −1.02067 | + | 0.314837i | ||||
\(545\) | 3.59961 | + | 15.7709i | 0.154190 | + | 0.675551i | ||||
\(546\) | −8.68424 | + | 6.03781i | −0.371651 | + | 0.258395i | ||||
\(547\) | 7.78063 | − | 34.0892i | 0.332676 | − | 1.45755i | −0.481252 | − | 0.876582i | \(-0.659818\pi\) |
0.813928 | − | 0.580966i | \(-0.197325\pi\) | |||||||
\(548\) | −0.0626807 | − | 0.836416i | −0.00267759 | − | 0.0357299i | ||||
\(549\) | −9.70976 | − | 2.99507i | −0.414403 | − | 0.127826i | ||||
\(550\) | 2.96509 | − | 39.5664i | 0.126432 | − | 1.68712i | ||||
\(551\) | 17.8024 | − | 45.3598i | 0.758409 | − | 1.93239i | ||||
\(552\) | 7.37677 | − | 3.55247i | 0.313976 | − | 0.151203i | ||||
\(553\) | 18.1928 | − | 8.96697i | 0.773638 | − | 0.381314i | ||||
\(554\) | 40.6790 | + | 19.5900i | 1.72828 | + | 0.832297i | ||||
\(555\) | −8.34672 | + | 7.74463i | −0.354299 | + | 0.328741i | ||||
\(556\) | −17.3035 | + | 2.60808i | −0.733830 | + | 0.110607i | ||||
\(557\) | −12.8955 | + | 22.3356i | −0.546398 | + | 0.946389i | 0.452119 | + | 0.891957i | \(0.350668\pi\) |
−0.998517 | + | 0.0544319i | \(0.982665\pi\) | |||||||
\(558\) | 12.8959 | + | 22.3363i | 0.545927 | + | 0.945573i | ||||
\(559\) | 2.82499 | + | 3.54243i | 0.119484 | + | 0.149829i | ||||
\(560\) | −12.9220 | − | 8.63815i | −0.546055 | − | 0.365028i | ||||
\(561\) | 35.4430 | − | 44.4442i | 1.49641 | − | 1.87643i | ||||
\(562\) | −12.2430 | − | 1.84534i | −0.516440 | − | 0.0778408i | ||||
\(563\) | −8.28793 | + | 5.65062i | −0.349295 | + | 0.238145i | −0.725239 | − | 0.688497i | \(-0.758271\pi\) |
0.375944 | + | 0.926642i | \(0.377318\pi\) | |||||||
\(564\) | 10.4341 | − | 7.11386i | 0.439355 | − | 0.299548i | ||||
\(565\) | 17.4578 | + | 2.63134i | 0.734456 | + | 0.110701i | ||||
\(566\) | −25.3264 | + | 31.7582i | −1.06455 | + | 1.33490i | ||||
\(567\) | −2.44315 | − | 29.0376i | −0.102603 | − | 1.21946i | ||||
\(568\) | −8.14684 | − | 10.2158i | −0.341834 | − | 0.428646i | ||||
\(569\) | −12.4507 | − | 21.5652i | −0.521960 | − | 0.904061i | −0.999674 | − | 0.0255458i | \(-0.991868\pi\) |
0.477714 | − | 0.878516i | \(-0.341466\pi\) | |||||||
\(570\) | −13.2716 | + | 22.9871i | −0.555885 | + | 0.962822i | ||||
\(571\) | −2.99912 | + | 0.452044i | −0.125509 | + | 0.0189175i | −0.211496 | − | 0.977379i | \(-0.567834\pi\) |
0.0859872 | + | 0.996296i | \(0.472596\pi\) | |||||||
\(572\) | 5.44584 | − | 5.05300i | 0.227702 | − | 0.211276i | ||||
\(573\) | −2.99300 | − | 1.44135i | −0.125034 | − | 0.0602133i | ||||
\(574\) | −22.5139 | − | 27.7082i | −0.939712 | − | 1.15652i | ||||
\(575\) | −8.35041 | + | 4.02134i | −0.348236 | + | 0.167702i | ||||
\(576\) | −0.639963 | + | 1.63060i | −0.0266651 | + | 0.0679416i | ||||
\(577\) | 0.0498136 | − | 0.664717i | 0.00207377 | − | 0.0276725i | −0.996071 | − | 0.0885592i | \(-0.971774\pi\) |
0.998145 | + | 0.0608866i | \(0.0193928\pi\) | |||||||
\(578\) | 0.108388 | + | 0.0334332i | 0.00450834 | + | 0.00139064i | ||||
\(579\) | 4.36141 | + | 58.1990i | 0.181254 | + | 2.41867i | ||||
\(580\) | 2.76408 | − | 12.1102i | 0.114772 | − | 0.502850i | ||||
\(581\) | −7.52273 | + | 13.3092i | −0.312095 | + | 0.552159i | ||||
\(582\) | −4.82259 | − | 21.1292i | −0.199903 | − | 0.875832i | ||||
\(583\) | 7.78562 | − | 2.40154i | 0.322447 | − | 0.0994618i | ||||
\(584\) | −0.654127 | − | 1.66669i | −0.0270680 | − | 0.0689681i | ||||
\(585\) | −1.72499 | − | 1.60055i | −0.0713194 | − | 0.0661747i | ||||
\(586\) | 39.5943 | + | 26.9949i | 1.63562 | + | 1.11515i | ||||
\(587\) | −21.5817 | −0.890772 | −0.445386 | − | 0.895339i | \(-0.646934\pi\) | ||||
−0.445386 | + | 0.895339i | \(0.646934\pi\) | |||||||
\(588\) | 9.12053 | − | 16.4860i | 0.376124 | − | 0.679871i | ||||
\(589\) | 40.6474 | 1.67485 | ||||||||
\(590\) | −22.0326 | − | 15.0216i | −0.907069 | − | 0.618429i | ||||
\(591\) | −1.40009 | − | 1.29910i | −0.0575922 | − | 0.0534378i | ||||
\(592\) | 7.79461 | + | 19.8603i | 0.320357 | + | 0.816255i | ||||
\(593\) | 20.0969 | − | 6.19908i | 0.825282 | − | 0.254566i | 0.146785 | − | 0.989168i | \(-0.453108\pi\) |
0.678498 | + | 0.734603i | \(0.262631\pi\) | |||||||
\(594\) | 5.56015 | + | 24.3606i | 0.228136 | + | 0.999529i | ||||
\(595\) | 4.84134 | + | 12.0116i | 0.198476 | + | 0.492426i | ||||
\(596\) | −4.27632 | + | 18.7358i | −0.175165 | + | 0.767447i | ||||
\(597\) | −2.06965 | − | 27.6176i | −0.0847053 | − | 1.13031i | ||||
\(598\) | −4.40961 | − | 1.36019i | −0.180322 | − | 0.0556221i | ||||
\(599\) | 0.114767 | − | 1.53147i | 0.00468927 | − | 0.0625740i | −0.994368 | − | 0.105980i | \(-0.966202\pi\) |
0.999058 | + | 0.0434063i | \(0.0138210\pi\) | |||||||
\(600\) | −4.17312 | + | 10.6329i | −0.170367 | + | 0.434088i | ||||
\(601\) | −9.86951 | + | 4.75291i | −0.402586 | + | 0.193875i | −0.624209 | − | 0.781257i | \(-0.714579\pi\) |
0.221623 | + | 0.975132i | \(0.428864\pi\) | |||||||
\(602\) | −19.4212 | − | 9.13505i | −0.791551 | − | 0.372317i | ||||
\(603\) | −14.6232 | − | 7.04215i | −0.595502 | − | 0.286778i | ||||
\(604\) | −12.1034 | + | 11.2303i | −0.492481 | + | 0.456956i | ||||
\(605\) | −31.6179 | + | 4.76564i | −1.28545 | + | 0.193751i | ||||
\(606\) | −21.2656 | + | 36.8331i | −0.863857 | + | 1.49624i | ||||
\(607\) | 3.66462 | + | 6.34731i | 0.148742 | + | 0.257629i | 0.930763 | − | 0.365623i | \(-0.119144\pi\) |
−0.782020 | + | 0.623253i | \(0.785811\pi\) | |||||||
\(608\) | 21.0696 | + | 26.4205i | 0.854486 | + | 1.07149i | ||||
\(609\) | −50.8703 | − | 7.19258i | −2.06137 | − | 0.291458i | ||||
\(610\) | −6.76825 | + | 8.48712i | −0.274039 | + | 0.343633i | ||||
\(611\) | 4.63952 | + | 0.699295i | 0.187695 | + | 0.0282905i | ||||
\(612\) | 8.16981 | − | 5.57008i | 0.330245 | − | 0.225157i | ||||
\(613\) | −7.22624 | + | 4.92677i | −0.291865 | + | 0.198990i | −0.700396 | − | 0.713754i | \(-0.746993\pi\) |
0.408531 | + | 0.912744i | \(0.366041\pi\) | |||||||
\(614\) | 45.0461 | + | 6.78960i | 1.81791 | + | 0.274006i | ||||
\(615\) | 12.4338 | − | 15.5915i | 0.501380 | − | 0.628711i | ||||
\(616\) | 8.27727 | − | 21.6705i | 0.333501 | − | 0.873128i | ||||
\(617\) | −16.5802 | − | 20.7909i | −0.667494 | − | 0.837011i | 0.326642 | − | 0.945148i | \(-0.394083\pi\) |
−0.994136 | + | 0.108137i | \(0.965512\pi\) | |||||||
\(618\) | 5.47277 | + | 9.47911i | 0.220147 | + | 0.381306i | ||||
\(619\) | 5.17008 | − | 8.95485i | 0.207803 | − | 0.359926i | −0.743219 | − | 0.669048i | \(-0.766702\pi\) |
0.951022 | + | 0.309123i | \(0.100035\pi\) | |||||||
\(620\) | 10.2460 | − | 1.54433i | 0.411489 | − | 0.0620219i | ||||
\(621\) | 4.27864 | − | 3.97000i | 0.171696 | − | 0.159310i | ||||
\(622\) | 30.1978 | + | 14.5425i | 1.21082 | + | 0.583102i | ||||
\(623\) | −35.4363 | + | 0.323898i | −1.41973 | + | 0.0129767i | ||||
\(624\) | −9.97399 | + | 4.80322i | −0.399279 | + | 0.192283i | ||||
\(625\) | 2.15896 | − | 5.50094i | 0.0863585 | − | 0.220038i | ||||
\(626\) | −2.02995 | + | 27.0878i | −0.0811331 | + | 1.08265i | ||||
\(627\) | −73.6834 | − | 22.7283i | −2.94263 | − | 0.907681i | ||||
\(628\) | 0.397390 | + | 5.30280i | 0.0158576 | + | 0.211605i | ||||
\(629\) | 3.95557 | − | 17.3305i | 0.157719 | − | 0.691012i | ||||
\(630\) | 10.6809 | + | 3.18801i | 0.425538 | + | 0.127014i | ||||
\(631\) | −9.68765 | − | 42.4444i | −0.385659 | − | 1.68968i | −0.679375 | − | 0.733791i | \(-0.737749\pi\) |
0.293716 | − | 0.955893i | \(-0.405108\pi\) | |||||||
\(632\) | 10.4215 | − | 3.21461i | 0.414546 | − | 0.127870i | ||||
\(633\) | 15.2257 | + | 38.7943i | 0.605165 | + | 1.54194i | ||||
\(634\) | −22.6536 | − | 21.0195i | −0.899690 | − | 0.834791i | ||||
\(635\) | 1.66727 | + | 1.13672i | 0.0661635 | + | 0.0451095i | ||||
\(636\) | 3.55818 | 0.141091 | ||||||||
\(637\) | 6.65018 | − | 2.18521i | 0.263490 | − | 0.0865812i | ||||
\(638\) | 95.9589 | 3.79905 | ||||||||
\(639\) | 15.0702 | + | 10.2747i | 0.596167 | + | 0.406460i | ||||
\(640\) | −9.10579 | − | 8.44894i | −0.359938 | − | 0.333974i | ||||
\(641\) | 13.2389 | + | 33.7323i | 0.522907 | + | 1.33235i | 0.911638 | + | 0.410994i | \(0.134818\pi\) |
−0.388731 | + | 0.921351i | \(0.627087\pi\) | |||||||
\(642\) | −71.4399 | + | 22.0363i | −2.81951 | + | 0.869703i | ||||
\(643\) | −8.40773 | − | 36.8367i | −0.331569 | − | 1.45270i | −0.816094 | − | 0.577920i | \(-0.803865\pi\) |
0.484525 | − | 0.874778i | \(-0.338993\pi\) | |||||||
\(644\) | 8.11670 | − | 1.29938i | 0.319843 | − | 0.0512026i | ||||
\(645\) | 2.66768 | − | 11.6879i | 0.105040 | − | 0.460210i | ||||
\(646\) | −3.09674 | − | 41.3232i | −0.121840 | − | 1.62584i | ||||
\(647\) | −27.3723 | − | 8.44322i | −1.07611 | − | 0.331937i | −0.294469 | − | 0.955661i | \(-0.595143\pi\) |
−0.781645 | + | 0.623724i | \(0.785619\pi\) | |||||||
\(648\) | 1.17093 | − | 15.6250i | 0.0459984 | − | 0.613806i | ||||
\(649\) | 28.3017 | − | 72.1116i | 1.11094 | − | 2.83063i | ||||
\(650\) | 5.80033 | − | 2.79329i | 0.227508 | − | 0.109562i | ||||
\(651\) | −9.91790 | − | 41.6928i | −0.388713 | − | 1.63407i | ||||
\(652\) | −3.13730 | − | 1.51084i | −0.122866 | − | 0.0591692i | ||||
\(653\) | −8.61912 | + | 7.99737i | −0.337292 | + | 0.312961i | −0.830574 | − | 0.556908i | \(-0.811988\pi\) |
0.493282 | + | 0.869869i | \(0.335797\pi\) | |||||||
\(654\) | −53.9647 | + | 8.13388i | −2.11019 | + | 0.318060i | ||||
\(655\) | 3.47115 | − | 6.01221i | 0.135629 | − | 0.234916i | ||||
\(656\) | −18.6836 | − | 32.3609i | −0.729471 | − | 1.26348i | ||||
\(657\) | 1.55828 | + | 1.95402i | 0.0607944 | + | 0.0762337i | ||||
\(658\) | −21.1768 | + | 6.74476i | −0.825558 | + | 0.262938i | ||||
\(659\) | 6.78970 | − | 8.51402i | 0.264489 | − | 0.331659i | −0.631798 | − | 0.775133i | \(-0.717683\pi\) |
0.896287 | + | 0.443474i | \(0.146254\pi\) | |||||||
\(660\) | −19.4369 | − | 2.92964i | −0.756581 | − | 0.114036i | ||||
\(661\) | −10.2214 | + | 6.96881i | −0.397565 | + | 0.271055i | −0.745557 | − | 0.666442i | \(-0.767816\pi\) |
0.347991 | + | 0.937498i | \(0.386864\pi\) | |||||||
\(662\) | −25.4651 | + | 17.3618i | −0.989728 | + | 0.674785i | ||||
\(663\) | 9.12060 | + | 1.37471i | 0.354215 | + | 0.0533893i | ||||
\(664\) | −5.12538 | + | 6.42702i | −0.198903 | + | 0.249417i | ||||
\(665\) | 12.7676 | − | 12.0656i | 0.495106 | − | 0.467885i | ||||
\(666\) | −9.53939 | − | 11.9620i | −0.369644 | − | 0.463519i | ||||
\(667\) | −11.2075 | − | 19.4120i | −0.433957 | − | 0.751636i | ||||
\(668\) | 11.3917 | − | 19.7311i | 0.440759 | − | 0.763418i | ||||
\(669\) | 16.2367 | − | 2.44729i | 0.627746 | − | 0.0946175i | ||||
\(670\) | −12.7107 | + | 11.7938i | −0.491056 | + | 0.455634i | ||||
\(671\) | −28.4125 | − | 13.6828i | −1.09685 | − | 0.528217i | ||||
\(672\) | 21.9591 | − | 28.0581i | 0.847090 | − | 1.08236i | ||||
\(673\) | −29.5518 | + | 14.2314i | −1.13914 | + | 0.548581i | −0.905754 | − | 0.423804i | \(-0.860695\pi\) |
−0.233385 | + | 0.972384i | \(0.574980\pi\) | |||||||
\(674\) | −11.6782 | + | 29.7555i | −0.449827 | + | 1.14614i | ||||
\(675\) | −0.608517 | + | 8.12009i | −0.0234218 | + | 0.312543i | ||||
\(676\) | 1.15184 | + | 0.355297i | 0.0443017 | + | 0.0136653i | ||||
\(677\) | −0.232781 | − | 3.10624i | −0.00894649 | − | 0.119383i | 0.990942 | − | 0.134287i | \(-0.0428745\pi\) |
−0.999889 | + | 0.0149048i | \(0.995255\pi\) | |||||||
\(678\) | −13.2539 | + | 58.0690i | −0.509012 | + | 2.23013i | ||||
\(679\) | −0.941100 | + | 14.3124i | −0.0361161 | + | 0.549259i | ||||
\(680\) | 1.54953 | + | 6.78895i | 0.0594219 | + | 0.260344i | ||||
\(681\) | 15.7004 | − | 4.84294i | 0.601642 | − | 0.185582i | ||||
\(682\) | 29.2439 | + | 74.5122i | 1.11981 | + | 2.85322i | ||||
\(683\) | −7.26396 | − | 6.73997i | −0.277948 | − | 0.257898i | 0.528864 | − | 0.848707i | \(-0.322618\pi\) |
−0.806812 | + | 0.590809i | \(0.798809\pi\) | |||||||
\(684\) | −11.0820 | − | 7.55555i | −0.423729 | − | 0.288894i | ||||
\(685\) | −0.824546 | −0.0315043 | ||||||||
\(686\) | −23.6790 | + | 23.2111i | −0.904070 | + | 0.886203i | ||||
\(687\) | −4.26849 | −0.162853 | ||||||||
\(688\) | −18.5602 | − | 12.6542i | −0.707603 | − | 0.482435i | ||||
\(689\) | 0.969090 | + | 0.899184i | 0.0369194 | + | 0.0342562i | ||||
\(690\) | 4.46078 | + | 11.3659i | 0.169819 | + | 0.432691i | ||||
\(691\) | −12.4999 | + | 3.85570i | −0.475517 | + | 0.146678i | −0.523244 | − | 0.852183i | \(-0.675278\pi\) |
0.0477270 | + | 0.998860i | \(0.484802\pi\) | |||||||
\(692\) | −0.130932 | − | 0.573651i | −0.00497729 | − | 0.0218069i | ||||
\(693\) | −2.12462 | + | 32.3115i | −0.0807076 | + | 1.22741i | ||||
\(694\) | −0.678199 | + | 2.97138i | −0.0257441 | + | 0.112792i | ||||
\(695\) | 1.28553 | + | 17.1542i | 0.0487630 | + | 0.650697i | ||||
\(696\) | −26.3979 | − | 8.14266i | −1.00061 | − | 0.308647i | ||||
\(697\) | −2.32663 | + | 31.0468i | −0.0881275 | + | 1.17598i | ||||
\(698\) | 0.799956 | − | 2.03826i | 0.0302788 | − | 0.0771491i | ||||
\(699\) | −29.6919 | + | 14.2989i | −1.12305 | + | 0.540834i | ||||
\(700\) | −7.06782 | + | 9.03088i | −0.267139 | + | 0.341335i | ||||
\(701\) | 30.1408 | + | 14.5150i | 1.13840 | + | 0.548225i | 0.905530 | − | 0.424283i | \(-0.139474\pi\) |
0.232871 | + | 0.972508i | \(0.425188\pi\) | |||||||
\(702\) | −2.97201 | + | 2.75762i | −0.112171 | + | 0.104080i | ||||
\(703\) | −23.8432 | + | 3.59378i | −0.899263 | + | 0.135542i | ||||
\(704\) | −2.71820 | + | 4.70806i | −0.102446 | + | 0.177442i | ||||
\(705\) | −6.20721 | − | 10.7512i | −0.233777 | − | 0.404914i | ||||
\(706\) | 3.73162 | + | 4.67930i | 0.140441 | + | 0.176108i | ||||
\(707\) | 20.4581 | − | 19.3333i | 0.769405 | − | 0.727102i | ||||
\(708\) | 21.0932 | − | 26.4500i | 0.792731 | − | 0.994053i | ||||
\(709\) | 7.10497 | + | 1.07090i | 0.266833 | + | 0.0402186i | 0.281096 | − | 0.959680i | \(-0.409302\pi\) |
−0.0142631 | + | 0.999898i | \(0.504540\pi\) | |||||||
\(710\) | 16.0998 | − | 10.9767i | 0.604215 | − | 0.411947i | ||||
\(711\) | −12.5784 | + | 8.57582i | −0.471727 | + | 0.321618i | ||||
\(712\) | −18.8422 | − | 2.84000i | −0.706141 | − | 0.106434i | ||||
\(713\) | 11.6579 | − | 14.6186i | 0.436592 | − | 0.547470i | ||||
\(714\) | −41.6304 | + | 13.2592i | −1.55798 | + | 0.496212i | ||||
\(715\) | −4.55340 | − | 5.70978i | −0.170287 | − | 0.213534i | ||||
\(716\) | 4.37987 | + | 7.58615i | 0.163683 | + | 0.283508i | ||||
\(717\) | 29.2472 | − | 50.6576i | 1.09226 | − | 1.89184i | ||||
\(718\) | −37.3587 | + | 5.63091i | −1.39421 | + | 0.210144i | ||||
\(719\) | −22.1727 | + | 20.5732i | −0.826902 | + | 0.767253i | −0.975114 | − | 0.221703i | \(-0.928839\pi\) |
0.148213 | + | 0.988956i | \(0.452648\pi\) | |||||||
\(720\) | 10.5112 | + | 5.06191i | 0.391728 | + | 0.188646i | ||||
\(721\) | −1.67641 | − | 7.04731i | −0.0624329 | − | 0.262455i | ||||
\(722\) | −19.9953 | + | 9.62925i | −0.744149 | + | 0.358363i | ||||
\(723\) | 13.7089 | − | 34.9297i | 0.509839 | − | 1.29905i | ||||
\(724\) | −0.744241 | + | 9.93120i | −0.0276595 | + | 0.369090i | ||||
\(725\) | 29.8820 | + | 9.21738i | 1.10979 | + | 0.342325i | ||||
\(726\) | −8.06141 | − | 107.572i | −0.299187 | − | 3.99237i | ||||
\(727\) | 4.53247 | − | 19.8581i | 0.168100 | − | 0.736495i | −0.818656 | − | 0.574284i | \(-0.805280\pi\) |
0.986756 | − | 0.162211i | \(-0.0518624\pi\) | |||||||
\(728\) | 3.71660 | − | 0.594978i | 0.137746 | − | 0.0220513i | ||||
\(729\) | 1.49149 | + | 6.53463i | 0.0552402 | + | 0.242023i | ||||
\(730\) | 2.55142 | − | 0.787010i | 0.0944325 | − | 0.0291286i | ||||
\(731\) | 6.83783 | + | 17.4225i | 0.252906 | + | 0.644395i | ||||
\(732\) | −10.0956 | − | 9.36739i | −0.373146 | − | 0.346229i | ||||
\(733\) | −4.24637 | − | 2.89512i | −0.156843 | − | 0.106934i | 0.482355 | − | 0.875976i | \(-0.339781\pi\) |
−0.639199 | + | 0.769042i | \(0.720734\pi\) | |||||||
\(734\) | 42.0003 | 1.55026 | ||||||||
\(735\) | −15.4912 | − | 10.1520i | −0.571403 | − | 0.374462i | ||||
\(736\) | 15.5449 | 0.572991 | ||||||||
\(737\) | −41.6191 | − | 28.3754i | −1.53306 | − | 1.04522i | ||||
\(738\) | 19.6436 | + | 18.2266i | 0.723090 | + | 0.670929i | ||||
\(739\) | 3.31620 | + | 8.44953i | 0.121988 | + | 0.310821i | 0.978803 | − | 0.204803i | \(-0.0656554\pi\) |
−0.856815 | + | 0.515624i | \(0.827560\pi\) | |||||||
\(740\) | −5.87362 | + | 1.81177i | −0.215918 | + | 0.0666020i | ||||
\(741\) | −2.78405 | − | 12.1977i | −0.102275 | − | 0.448094i | ||||
\(742\) | −6.00050 | − | 1.79101i | −0.220285 | − | 0.0657502i | ||||
\(743\) | 6.47969 | − | 28.3894i | 0.237717 | − | 1.04151i | −0.705339 | − | 0.708870i | \(-0.749205\pi\) |
0.943056 | − | 0.332635i | \(-0.107938\pi\) | |||||||
\(744\) | −1.72208 | − | 22.9795i | −0.0631344 | − | 0.842469i | ||||
\(745\) | 18.0526 | + | 5.56848i | 0.661395 | + | 0.204013i | ||||
\(746\) | 0.363976 | − | 4.85693i | 0.0133261 | − | 0.177825i | ||||
\(747\) | 4.19226 | − | 10.6817i | 0.153387 | − | 0.390823i | ||||
\(748\) | 27.6485 | − | 13.3148i | 1.01093 | − | 0.486838i | ||||
\(749\) | 49.4764 | − | 0.452228i | 1.80783 | − | 0.0165240i | ||||
\(750\) | −36.6872 | − | 17.6676i | −1.33963 | − | 0.645131i | ||||
\(751\) | 31.5108 | − | 29.2377i | 1.14984 | − | 1.06690i | 0.152943 | − | 0.988235i | \(-0.451125\pi\) |
0.996901 | − | 0.0786648i | \(-0.0250657\pi\) | |||||||
\(752\) | −23.0019 | + | 3.46697i | −0.838792 | + | 0.126428i | ||||
\(753\) | 12.1553 | − | 21.0537i | 0.442965 | − | 0.767238i | ||||
\(754\) | 7.78494 | + | 13.4839i | 0.283511 | + | 0.491055i | ||||
\(755\) | 10.1200 | + | 12.6900i | 0.368303 | + | 0.461837i | ||||
\(756\) | 2.57692 | − | 6.74655i | 0.0937215 | − | 0.245370i | ||||
\(757\) | −3.53671 | + | 4.43490i | −0.128544 | + | 0.161189i | −0.841938 | − | 0.539574i | \(-0.818585\pi\) |
0.713394 | + | 0.700763i | \(0.247157\pi\) | |||||||
\(758\) | 24.4805 | + | 3.68985i | 0.889173 | + | 0.134021i | ||||
\(759\) | −29.3069 | + | 19.9811i | −1.06377 | + | 0.725269i | ||||
\(760\) | 7.80440 | − | 5.32095i | 0.283095 | − | 0.193011i | ||||
\(761\) | 36.9158 | + | 5.56416i | 1.33820 | + | 0.201701i | 0.778838 | − | 0.627225i | \(-0.215809\pi\) |
0.559359 | + | 0.828926i | \(0.311047\pi\) | |||||||
\(762\) | −4.24456 | + | 5.32252i | −0.153764 | + | 0.192814i | ||||
\(763\) | 35.7626 | + | 5.05650i | 1.29469 | + | 0.183057i | ||||
\(764\) | −1.11812 | − | 1.40207i | −0.0404520 | − | 0.0507252i | ||||
\(765\) | −4.86019 | − | 8.41809i | −0.175720 | − | 0.304357i | ||||
\(766\) | −9.19132 | + | 15.9198i | −0.332096 | + | 0.575207i | ||||
\(767\) | 12.4290 | − | 1.87337i | 0.448785 | − | 0.0676435i | ||||
\(768\) | 33.6077 | − | 31.1834i | 1.21271 | − | 1.12523i | ||||
\(769\) | 11.4903 | + | 5.53344i | 0.414351 | + | 0.199541i | 0.629432 | − | 0.777055i | \(-0.283287\pi\) |
−0.215081 | + | 0.976596i | \(0.569002\pi\) | |||||||
\(770\) | 31.3037 | + | 14.7241i | 1.12811 | + | 0.530620i | ||||
\(771\) | −5.38138 | + | 2.59153i | −0.193806 | + | 0.0933318i | ||||
\(772\) | −11.5104 | + | 29.3280i | −0.414268 | + | 1.05554i | ||||
\(773\) | −3.71861 | + | 49.6214i | −0.133749 | + | 1.78476i | 0.378180 | + | 0.925732i | \(0.376550\pi\) |
−0.511930 | + | 0.859027i | \(0.671069\pi\) | |||||||
\(774\) | 15.3935 | + | 4.74826i | 0.553308 | + | 0.170673i | ||||
\(775\) | 1.94937 | + | 26.0125i | 0.0700233 | + | 0.934396i | ||||
\(776\) | −1.71618 | + | 7.51906i | −0.0616071 | + | 0.269919i | ||||
\(777\) | 9.50392 | + | 23.5796i | 0.340951 | + | 0.845913i | ||||
\(778\) | −15.0957 | − | 66.1385i | −0.541206 | − | 2.37118i | ||||
\(779\) | 40.3553 | − | 12.4480i | 1.44588 | − | 0.445994i | ||||
\(780\) | −1.16521 | − | 2.96890i | −0.0417211 | − | 0.106304i | ||||
\(781\) | 41.4957 | + | 38.5024i | 1.48483 | + | 1.37772i | ||||
\(782\) | −15.7498 | − | 10.7380i | −0.563211 | − | 0.383991i | ||||
\(783\) | −19.6933 | −0.703782 | ||||||||
\(784\) | −28.3122 | + | 20.0707i | −1.01115 | + | 0.716811i | ||||
\(785\) | 5.22755 | 0.186579 | ||||||||
\(786\) | 19.3514 | + | 13.1936i | 0.690243 | + | 0.470599i | ||||
\(787\) | −18.3632 | − | 17.0386i | −0.654577 | − | 0.607359i | 0.281328 | − | 0.959612i | \(-0.409225\pi\) |
−0.935905 | + | 0.352253i | \(0.885416\pi\) | |||||||
\(788\) | −0.376688 | − | 0.959785i | −0.0134190 | − | 0.0341909i | ||||
\(789\) | 31.3017 | − | 9.65530i | 1.11437 | − | 0.343738i | ||||
\(790\) | 3.61904 | + | 15.8561i | 0.128760 | + | 0.564133i | ||||
\(791\) | 19.3969 | − | 34.3170i | 0.689674 | − | 1.22017i | ||||
\(792\) | −3.87442 | + | 16.9750i | −0.137672 | + | 0.603179i | ||||
\(793\) | −0.382381 | − | 5.10251i | −0.0135787 | − | 0.181196i | ||||
\(794\) | −8.09808 | − | 2.49793i | −0.287390 | − | 0.0886481i | ||||
\(795\) | 0.261397 | − | 3.48810i | 0.00927078 | − | 0.123710i | ||||
\(796\) | 5.46212 | − | 13.9173i | 0.193600 | − | 0.493284i | ||||
\(797\) | −9.03198 | + | 4.34957i | −0.319929 | + | 0.154070i | −0.586955 | − | 0.809620i | \(-0.699673\pi\) |
0.267026 | + | 0.963689i | \(0.413959\pi\) | |||||||
\(798\) | 37.3728 | + | 45.9953i | 1.32298 | + | 1.62822i | ||||
\(799\) | 17.4620 | + | 8.40924i | 0.617760 | + | 0.297497i | ||||
\(800\) | −15.8975 | + | 14.7507i | −0.562060 | + | 0.521516i | ||||
\(801\) | 26.3017 | − | 3.96435i | 0.929326 | − | 0.140073i | ||||
\(802\) | 15.8236 | − | 27.4072i | 0.558750 | − | 0.967784i | ||||
\(803\) | 3.87831 | + | 6.71742i | 0.136862 | + | 0.237053i | ||||
\(804\) | −13.7156 | − | 17.1988i | −0.483713 | − | 0.606557i | ||||
\(805\) | −0.677499 | − | 8.05228i | −0.0238787 | − | 0.283806i | ||||
\(806\) | −8.09778 | + | 10.1543i | −0.285232 | + | 0.357670i | ||||
\(807\) | −20.2898 | − | 3.05819i | −0.714234 | − | 0.107653i | ||||
\(808\) | 12.5053 | − | 8.52599i | 0.439936 | − | 0.299943i | ||||
\(809\) | −7.85158 | + | 5.35312i | −0.276047 | + | 0.188206i | −0.693428 | − | 0.720526i | \(-0.743900\pi\) |
0.417381 | + | 0.908732i | \(0.362948\pi\) | |||||||
\(810\) | 23.1053 | + | 3.48257i | 0.811839 | + | 0.122365i | ||||
\(811\) | −4.89726 | + | 6.14097i | −0.171966 | + | 0.215639i | −0.860344 | − | 0.509713i | \(-0.829751\pi\) |
0.688378 | + | 0.725352i | \(0.258323\pi\) | |||||||
\(812\) | −23.0573 | − | 15.4134i | −0.809152 | − | 0.540904i | ||||
\(813\) | −33.1781 | − | 41.6041i | −1.16361 | − | 1.45912i | ||||
\(814\) | −23.7420 | − | 41.1223i | −0.832156 | − | 1.44134i | ||||
\(815\) | −1.71156 | + | 2.96451i | −0.0599534 | + | 0.103842i | ||||
\(816\) | −45.2182 | + | 6.81555i | −1.58295 | + | 0.238592i | ||||
\(817\) | 18.6105 | − | 17.2681i | 0.651101 | − | 0.604133i | ||||
\(818\) | 36.6681 | + | 17.6584i | 1.28207 | + | 0.617412i | ||||
\(819\) | −4.71270 | + | 2.32281i | −0.164675 | + | 0.0811657i | ||||
\(820\) | 9.69942 | − | 4.67099i | 0.338718 | − | 0.163118i | ||||
\(821\) | 1.69002 | − | 4.30611i | 0.0589822 | − | 0.150284i | −0.898345 | − | 0.439291i | \(-0.855230\pi\) |
0.957327 | + | 0.289007i | \(0.0933250\pi\) | |||||||
\(822\) | 0.207881 | − | 2.77398i | 0.00725067 | − | 0.0967535i | ||||
\(823\) | 1.63821 | + | 0.505322i | 0.0571046 | + | 0.0176144i | 0.323176 | − | 0.946339i | \(-0.395249\pi\) |
−0.266071 | + | 0.963953i | \(0.585726\pi\) | |||||||
\(824\) | −0.291081 | − | 3.88421i | −0.0101403 | − | 0.135313i | ||||
\(825\) | 11.0114 | − | 48.2441i | 0.383368 | − | 1.67964i | ||||
\(826\) | −48.8851 | + | 33.9879i | −1.70093 | + | 1.18259i | ||||
\(827\) | 0.668241 | + | 2.92775i | 0.0232370 | + | 0.101808i | 0.985217 | − | 0.171313i | \(-0.0548011\pi\) |
−0.961980 | + | 0.273121i | \(0.911944\pi\) | |||||||
\(828\) | −5.89568 | + | 1.81858i | −0.204889 | + | 0.0631999i | ||||
\(829\) | −10.3076 | − | 26.2634i | −0.357998 | − | 0.912165i | −0.990488 | − | 0.137596i | \(-0.956062\pi\) |
0.632490 | − | 0.774568i | \(-0.282033\pi\) | |||||||
\(830\) | −8.98642 | − | 8.33818i | −0.311923 | − | 0.289422i | ||||
\(831\) | 46.5258 | + | 31.7208i | 1.61396 | + | 1.10038i | ||||
\(832\) | −0.882087 | −0.0305809 | ||||||||
\(833\) | 28.9106 | − | 0.528547i | 1.00169 | − | 0.0183131i | ||||
\(834\) | −58.0352 | −2.00959 | ||||||||
\(835\) | −18.5055 | − | 12.6169i | −0.640410 | − | 0.436624i | ||||
\(836\) | −30.5141 | − | 28.3130i | −1.05535 | − | 0.979225i | ||||
\(837\) | −6.00163 | − | 15.2919i | −0.207447 | − | 0.528566i | ||||
\(838\) | −51.9521 | + | 16.0251i | −1.79465 | + | 0.553577i | ||||
\(839\) | −1.59020 | − | 6.96714i | −0.0549000 | − | 0.240532i | 0.940032 | − | 0.341088i | \(-0.110795\pi\) |
−0.994931 | + | 0.100555i | \(0.967938\pi\) | |||||||
\(840\) | −7.36207 | − | 6.70683i | −0.254016 | − | 0.231408i | ||||
\(841\) | −10.3759 | + | 45.4599i | −0.357791 | + | 1.56758i | ||||
\(842\) | 1.04251 | + | 13.9113i | 0.0359271 | + | 0.479414i | ||||
\(843\) | −14.7556 | − | 4.55151i | −0.508211 | − | 0.156762i | ||||
\(844\) | −1.68125 | + | 22.4348i | −0.0578712 | + | 0.772237i | ||||
\(845\) | 0.432917 | − | 1.10305i | 0.0148928 | − | 0.0379462i | ||||
\(846\) | 15.0296 | − | 7.23785i | 0.516727 | − | 0.248843i | ||||
\(847\) | −15.2496 | + | 69.7451i | −0.523981 | + | 2.39647i | ||||
\(848\) | −5.90512 | − | 2.84376i | −0.202783 | − | 0.0976551i | ||||
\(849\) | −37.1370 | + | 34.4581i | −1.27454 | + | 1.18260i | ||||
\(850\) | 26.2965 | − | 3.96355i | 0.901961 | − | 0.135949i | ||||
\(851\) | −5.54590 | + | 9.60577i | −0.190111 | + | 0.329282i | ||||
\(852\) | 12.3605 | + | 21.4091i | 0.423465 | + | 0.733463i | ||||
\(853\) | 7.50736 | + | 9.41393i | 0.257047 | + | 0.322327i | 0.893564 | − | 0.448936i | \(-0.148197\pi\) |
−0.636517 | + | 0.771263i | \(0.719625\pi\) | |||||||
\(854\) | 12.3102 | + | 20.8788i | 0.421245 | + | 0.714457i | ||||
\(855\) | −8.22085 | + | 10.3086i | −0.281147 | + | 0.352547i | ||||
\(856\) | 26.3076 | + | 3.96523i | 0.899174 | + | 0.135529i | ||||
\(857\) | −10.1144 | + | 6.89590i | −0.345502 | + | 0.235560i | −0.723621 | − | 0.690198i | \(-0.757524\pi\) |
0.378118 | + | 0.925757i | \(0.376571\pi\) | |||||||
\(858\) | 20.3571 | − | 13.8792i | 0.694980 | − | 0.473829i | ||||
\(859\) | −31.0192 | − | 4.67539i | −1.05836 | − | 0.159522i | −0.403277 | − | 0.915078i | \(-0.632129\pi\) |
−0.655084 | + | 0.755556i | \(0.727367\pi\) | |||||||
\(860\) | 4.03509 | − | 5.05984i | 0.137595 | − | 0.172539i | ||||
\(861\) | −22.6148 | − | 38.3560i | −0.770709 | − | 1.30717i | ||||
\(862\) | −26.9314 | − | 33.7709i | −0.917286 | − | 1.15024i | ||||
\(863\) | 10.0300 | + | 17.3724i | 0.341425 | + | 0.591365i | 0.984698 | − | 0.174272i | \(-0.0557572\pi\) |
−0.643273 | + | 0.765637i | \(0.722424\pi\) | |||||||
\(864\) | 6.82867 | − | 11.8276i | 0.232316 | − | 0.402383i | ||||
\(865\) | −0.571970 | + | 0.0862107i | −0.0194476 | + | 0.00293125i | ||||
\(866\) | 50.1813 | − | 46.5614i | 1.70523 | − | 1.58222i | ||||
\(867\) | 0.127454 | + | 0.0613788i | 0.00432858 | + | 0.00208453i | ||||
\(868\) | 4.94172 | − | 22.6013i | 0.167733 | − | 0.767139i | ||||
\(869\) | −42.5682 | + | 20.4998i | −1.44403 | + | 0.695407i | ||||
\(870\) | 15.0508 | − | 38.3487i | 0.510269 | − | 1.30014i | ||||
\(871\) | 0.610777 | − | 8.15025i | 0.0206954 | − | 0.276161i | ||||
\(872\) | 18.5581 | + | 5.72441i | 0.628456 | + | 0.193853i | ||||
\(873\) | −0.804525 | − | 10.7356i | −0.0272291 | − | 0.363346i | ||||
\(874\) | −5.75366 | + | 25.2084i | −0.194620 | + | 0.852687i | ||||
\(875\) | 19.9218 | + | 18.1487i | 0.673479 | + | 0.613538i | ||||
\(876\) | 0.753775 | + | 3.30251i | 0.0254677 | + | 0.111581i | ||||
\(877\) | −17.3013 | + | 5.33674i | −0.584223 | + | 0.180209i | −0.572757 | − | 0.819725i | \(-0.694126\pi\) |
−0.0114664 | + | 0.999934i | \(0.503650\pi\) | |||||||
\(878\) | 13.9380 | + | 35.5134i | 0.470384 | + | 1.19852i | ||||
\(879\) | 43.8117 | + | 40.6513i | 1.47773 | + | 1.37113i | ||||
\(880\) | 29.9159 | + | 20.3963i | 1.00846 | + | 0.687559i | ||||
\(881\) | −30.1842 | −1.01693 | −0.508466 | − | 0.861082i | \(-0.669787\pi\) | ||||
−0.508466 | + | 0.861082i | \(0.669787\pi\) | |||||||
\(882\) | 15.1589 | − | 19.7383i | 0.510427 | − | 0.664624i | ||||
\(883\) | 3.41283 | 0.114851 | 0.0574254 | − | 0.998350i | \(-0.481711\pi\) | ||||
0.0574254 | + | 0.998350i | \(0.481711\pi\) | |||||||
\(884\) | 4.11403 | + | 2.80490i | 0.138370 | + | 0.0943390i | ||||
\(885\) | −24.3795 | − | 22.6208i | −0.819506 | − | 0.760391i | ||||
\(886\) | 26.0967 | + | 66.4933i | 0.876736 | + | 2.23389i | ||||
\(887\) | −8.97652 | + | 2.76889i | −0.301402 | + | 0.0929702i | −0.441768 | − | 0.897130i | \(-0.645648\pi\) |
0.140366 | + | 0.990100i | \(0.455172\pi\) | |||||||
\(888\) | 3.04185 | + | 13.3272i | 0.102078 | + | 0.447232i | ||||
\(889\) | 3.69926 | − | 2.57196i | 0.124069 | − | 0.0862606i | ||||
\(890\) | 6.32318 | − | 27.7037i | 0.211954 | − | 0.928629i | ||||
\(891\) | 5.07270 | + | 67.6905i | 0.169942 | + | 2.26772i | ||||
\(892\) | 8.47032 | + | 2.61275i | 0.283607 | + | 0.0874812i | ||||
\(893\) | 1.96464 | − | 26.2163i | 0.0657442 | − | 0.877295i | ||||
\(894\) | −23.2851 | + | 59.3294i | −0.778770 | + | 1.98427i | ||||
\(895\) | 7.75849 | − | 3.73629i | 0.259338 | − | 0.124890i | ||||
\(896\) | −24.8772 | + | 12.2616i | −0.831089 | + | 0.409631i | ||||
\(897\) | −5.18531 | − | 2.49711i | −0.173132 | − | 0.0833762i | ||||
\(898\) | 10.0110 | − | 9.28885i | 0.334071 | − | 0.309973i | ||||
\(899\) | −62.3824 | + | 9.40263i | −2.08057 | + | 0.313595i | ||||
\(900\) | 4.30374 | − | 7.45430i | 0.143458 | − | 0.248477i | ||||
\(901\) | 2.73043 | + | 4.72925i | 0.0909639 | + | 0.157554i | ||||
\(902\) | 51.8526 | + | 65.0211i | 1.72650 | + | 2.16497i | ||||
\(903\) | −22.2532 | − | 14.8758i | −0.740539 | − | 0.495037i | ||||
\(904\) | 13.2155 | − | 16.5717i | 0.439540 | − | 0.551166i | ||||
\(905\) | 9.68091 | + | 1.45916i | 0.321804 | + | 0.0485042i | ||||
\(906\) | −45.2438 | + | 30.8467i | −1.50312 | + | 1.02481i | ||||
\(907\) | −8.38598 | + | 5.71746i | −0.278452 | + | 0.189845i | −0.694491 | − | 0.719502i | \(-0.744370\pi\) |
0.416039 | + | 0.909347i | \(0.363418\pi\) | |||||||
\(908\) | 8.77062 | + | 1.32196i | 0.291063 | + | 0.0438707i | ||||
\(909\) | −13.1726 | + | 16.5179i | −0.436908 | + | 0.547865i | ||||
\(910\) | 0.470602 | + | 5.59325i | 0.0156003 | + | 0.185414i | ||||
\(911\) | 21.2075 | + | 26.5934i | 0.702637 | + | 0.881078i | 0.997217 | − | 0.0745482i | \(-0.0237514\pi\) |
−0.294581 | + | 0.955627i | \(0.595180\pi\) | |||||||
\(912\) | 31.0146 | + | 53.7188i | 1.02700 | + | 1.77881i | ||||
\(913\) | 17.8064 | − | 30.8415i | 0.589305 | − | 1.02071i | ||||
\(914\) | −20.5854 | + | 3.10275i | −0.680905 | + | 0.102630i | ||||
\(915\) | −9.92454 | + | 9.20863i | −0.328095 | + | 0.304428i | ||||
\(916\) | −2.07608 | − | 0.999789i | −0.0685957 | − | 0.0330340i | ||||
\(917\) | −9.77478 | − | 12.0300i | −0.322792 | − | 0.397264i | ||||
\(918\) | −15.0889 | + | 7.26644i | −0.498008 | + | 0.239828i | ||||
\(919\) | −1.35021 | + | 3.44028i | −0.0445393 | + | 0.113484i | −0.951412 | − | 0.307920i | \(-0.900367\pi\) |
0.906873 | + | 0.421404i | \(0.138462\pi\) | |||||||
\(920\) | 0.324705 | − | 4.33289i | 0.0107052 | − | 0.142851i | ||||
\(921\) | 54.2909 | + | 16.7465i | 1.78895 | + | 0.551817i | ||||
\(922\) | 2.11359 | + | 28.2039i | 0.0696073 | + | 0.928845i | ||||
\(923\) | −2.04380 | + | 8.95449i | −0.0672726 | + | 0.294741i | ||||
\(924\) | −21.5958 | + | 38.2073i | −0.710450 | + | 1.25693i | ||||
\(925\) | −3.44333 | − | 15.0862i | −0.113216 | − | 0.496032i | ||||
\(926\) | −7.41815 | + | 2.28819i | −0.243775 | + | 0.0751947i | ||||
\(927\) | 1.98641 | + | 5.06130i | 0.0652424 | + | 0.166235i | ||||
\(928\) | −38.4476 | − | 35.6742i | −1.26211 | − | 1.17106i | ||||
\(929\) | −24.6286 | − | 16.7915i | −0.808039 | − | 0.550912i | 0.0873597 | − | 0.996177i | \(-0.472157\pi\) |
−0.895399 | + | 0.445265i | \(0.853109\pi\) | |||||||
\(930\) | 34.3647 | 1.12686 | ||||||||
\(931\) | −14.9946 | − | 36.2431i | −0.491427 | − | 1.18782i | ||||
\(932\) | −17.7906 | −0.582749 | ||||||||
\(933\) | 34.5382 | + | 23.5478i | 1.13073 | + | 0.770919i | ||||
\(934\) | 6.01684 | + | 5.58281i | 0.196877 | + | 0.182675i | ||||
\(935\) | −11.0214 | − | 28.0821i | −0.360438 | − | 0.918382i | ||||
\(936\) | −2.69960 | + | 0.832717i | −0.0882393 | + | 0.0272182i | ||||
\(937\) | 8.10984 | + | 35.5315i | 0.264937 | + | 1.16076i | 0.915821 | + | 0.401587i | \(0.131541\pi\) |
−0.650884 | + | 0.759177i | \(0.725602\pi\) | |||||||
\(938\) | 14.4729 | + | 35.9078i | 0.472557 | + | 1.17243i | ||||
\(939\) | −7.53857 | + | 33.0286i | −0.246012 | + | 1.07785i | ||||
\(940\) | −0.500821 | − | 6.68299i | −0.0163350 | − | 0.217975i | ||||
\(941\) | −23.7523 | − | 7.32663i | −0.774304 | − | 0.238841i | −0.117672 | − | 0.993052i | \(-0.537543\pi\) |
−0.656632 | + | 0.754211i | \(0.728019\pi\) | |||||||
\(942\) | −1.31795 | + | 17.5868i | −0.0429410 | + | 0.573008i | ||||
\(943\) | 7.09732 | − | 18.0837i | 0.231120 | − | 0.588885i | ||||
\(944\) | −56.1454 | + | 27.0382i | −1.82738 | + | 0.880018i | ||||
\(945\) | −6.42435 | − | 3.02178i | −0.208984 | − | 0.0982986i | ||||
\(946\) | 45.0442 | + | 21.6921i | 1.46451 | + | 0.705272i | ||||
\(947\) | −30.8695 | + | 28.6427i | −1.00312 | + | 0.930762i | −0.997601 | − | 0.0692226i | \(-0.977948\pi\) |
−0.00552177 | + | 0.999985i | \(0.501758\pi\) | |||||||
\(948\) | −20.4031 | + | 3.07528i | −0.662663 | + | 0.0998803i | ||||
\(949\) | −0.629277 | + | 1.08994i | −0.0204272 | + | 0.0353810i | ||||
\(950\) | −18.0364 | − | 31.2399i | −0.585178 | − | 1.01356i | ||||
\(951\) | −24.0304 | − | 30.1331i | −0.779239 | − | 0.977134i | ||||
\(952\) | 15.3948 | + | 2.17668i | 0.498949 | + | 0.0705467i | ||||
\(953\) | −1.21910 | + | 1.52871i | −0.0394906 | + | 0.0495196i | −0.801185 | − | 0.598417i | \(-0.795797\pi\) |
0.761694 | + | 0.647937i | \(0.224368\pi\) | |||||||
\(954\) | 4.64768 | + | 0.700526i | 0.150474 | + | 0.0226804i | ||||
\(955\) | −1.45660 | + | 0.993090i | −0.0471343 | + | 0.0321356i | ||||
\(956\) | 26.0904 | − | 17.7881i | 0.843823 | − | 0.575309i | ||||
\(957\) | 118.341 | + | 17.8370i | 3.82542 | + | 0.576590i | ||||
\(958\) | 35.3204 | − | 44.2903i | 1.14115 | − | 1.43096i | ||||
\(959\) | −0.656907 | + | 1.71983i | −0.0212126 | + | 0.0555362i | ||||
\(960\) | 1.45518 | + | 1.82474i | 0.0469657 | + | 0.0588931i | ||||
\(961\) | −10.8125 | − | 18.7278i | −0.348790 | − | 0.604122i | ||||
\(962\) | 3.85227 | − | 6.67233i | 0.124202 | − | 0.215125i | ||||
\(963\) | −36.7226 | + | 5.53504i | −1.18337 | + | 0.178364i | ||||
\(964\) | 14.8491 | − | 13.7779i | 0.478256 | − | 0.443757i | ||||
\(965\) | 27.9047 | + | 13.4382i | 0.898285 | + | 0.432591i | ||||
\(966\) | 27.2607 | − | 0.249170i | 0.877098 | − | 0.00801692i | ||||
\(967\) | −5.68945 | + | 2.73990i | −0.182960 | + | 0.0881091i | −0.523122 | − | 0.852258i | \(-0.675233\pi\) |
0.340161 | + | 0.940367i | \(0.389518\pi\) | |||||||
\(968\) | −14.0248 | + | 35.7345i | −0.450773 | + | 1.14855i | ||||
\(969\) | 3.86219 | − | 51.5373i | 0.124071 | − | 1.65562i | ||||
\(970\) | −10.9903 | − | 3.39006i | −0.352878 | − | 0.108848i | ||||
\(971\) | −0.774389 | − | 10.3335i | −0.0248513 | − | 0.331618i | −0.995748 | − | 0.0921190i | \(-0.970636\pi\) |
0.970897 | − | 0.239499i | \(-0.0769831\pi\) | |||||||
\(972\) | −4.77429 | + | 20.9175i | −0.153135 | + | 0.670930i | ||||
\(973\) | 36.8043 | + | 10.9853i | 1.17989 | + | 0.352171i | ||||
\(974\) | −2.55490 | − | 11.1938i | −0.0818644 | − | 0.358671i | ||||
\(975\) | 7.67247 | − | 2.36664i | 0.245716 | − | 0.0757932i | ||||
\(976\) | 9.26806 | + | 23.6146i | 0.296663 | + | 0.755886i | ||||
\(977\) | −16.5248 | − | 15.3328i | −0.528675 | − | 0.490538i | 0.370074 | − | 0.929002i | \(-0.379332\pi\) |
−0.898749 | + | 0.438464i | \(0.855523\pi\) | |||||||
\(978\) | −9.54184 | − | 6.50552i | −0.305114 | − | 0.208023i | ||||
\(979\) | 82.5502 | 2.63831 | ||||||||
\(980\) | −5.15668 | − | 8.56611i | −0.164724 | − | 0.273634i | ||||
\(981\) | −27.1096 | −0.865542 | ||||||||
\(982\) | −18.7496 | − | 12.7833i | −0.598324 | − | 0.407930i | ||||
\(983\) | 7.92062 | + | 7.34926i | 0.252629 | + | 0.234405i | 0.796313 | − | 0.604885i | \(-0.206781\pi\) |
−0.543685 | + | 0.839290i | \(0.682971\pi\) | |||||||
\(984\) | −8.74700 | − | 22.2870i | −0.278844 | − | 0.710484i | ||||
\(985\) | −0.968553 | + | 0.298759i | −0.0308607 | + | 0.00951925i | ||||
\(986\) | 14.3116 | + | 62.7032i | 0.455774 | + | 1.99688i | ||||
\(987\) | −27.3700 | + | 4.38157i | −0.871196 | + | 0.139467i | ||||
\(988\) | 1.50292 | − | 6.58474i | 0.0478144 | − | 0.209489i | ||||
\(989\) | −0.872729 | − | 11.6458i | −0.0277512 | − | 0.370313i | ||||
\(990\) | −24.8116 | − | 7.65338i | −0.788566 | − | 0.243240i | ||||
\(991\) | 1.16630 | − | 15.5632i | 0.0370489 | − | 0.494383i | −0.947556 | − | 0.319589i | \(-0.896455\pi\) |
0.984605 | − | 0.174794i | \(-0.0559258\pi\) | |||||||
\(992\) | 15.9840 | − | 40.7265i | 0.507492 | − | 1.29307i | ||||
\(993\) | −34.6320 | + | 16.6779i | −1.09901 | + | 0.529257i | ||||
\(994\) | −10.0685 | − | 42.3258i | −0.319352 | − | 1.34249i | ||||
\(995\) | −13.2419 | − | 6.37694i | −0.419795 | − | 0.202163i | ||||
\(996\) | 11.4009 | − | 10.5785i | 0.361251 | − | 0.335192i | ||||
\(997\) | 12.1297 | − | 1.82825i | 0.384151 | − | 0.0579014i | 0.0458719 | − | 0.998947i | \(-0.485393\pi\) |
0.338279 | + | 0.941046i | \(0.390155\pi\) | |||||||
\(998\) | 28.7620 | − | 49.8172i | 0.910444 | − | 1.57694i | ||||
\(999\) | 4.87249 | + | 8.43940i | 0.154159 | + | 0.267011i |
(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 | 637.2.bl.b.53.23 | ✓ | 348 | |
49.37 | even | 21 | inner | 637.2.bl.b.625.23 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.b.53.23 | ✓ | 348 | 1.1 | even | 1 | trivial | |
637.2.bl.b.625.23 | yes | 348 | 49.37 | even | 21 | inner |