Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 353.6 | ||
Character | \(\chi\) | \(=\) | 441.353 |
Dual form | 441.2.bn.a.5.6 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.86842 | − | 1.49001i | −1.32117 | − | 1.05360i | −0.994085 | − | 0.108604i | \(-0.965362\pi\) |
−0.327086 | − | 0.944995i | \(-0.606067\pi\) | |||||||
\(3\) | −1.41768 | − | 0.995078i | −0.818499 | − | 0.574509i | ||||
\(4\) | 0.825803 | + | 3.61808i | 0.412901 | + | 1.80904i | ||||
\(5\) | −1.88505 | + | 1.28520i | −0.843018 | + | 0.574760i | −0.906011 | − | 0.423254i | \(-0.860888\pi\) |
0.0629931 | + | 0.998014i | \(0.479935\pi\) | |||||||
\(6\) | 1.16614 | + | 3.97158i | 0.476075 | + | 1.62139i | ||||
\(7\) | −0.922050 | − | 2.47988i | −0.348502 | − | 0.937308i | ||||
\(8\) | 1.77425 | − | 3.68427i | 0.627293 | − | 1.30259i | ||||
\(9\) | 1.01964 | + | 2.82141i | 0.339880 | + | 0.940469i | ||||
\(10\) | 5.43702 | + | 0.407448i | 1.71934 | + | 0.128846i | ||||
\(11\) | −0.775241 | + | 5.14339i | −0.233744 | + | 1.55079i | 0.496763 | + | 0.867886i | \(0.334522\pi\) |
−0.730507 | + | 0.682905i | \(0.760716\pi\) | |||||||
\(12\) | 2.42955 | − | 5.95102i | 0.701349 | − | 1.71791i | ||||
\(13\) | 0.0919355 | − | 0.609952i | 0.0254983 | − | 0.169170i | −0.972457 | − | 0.233081i | \(-0.925119\pi\) |
0.997956 | + | 0.0639108i | \(0.0203573\pi\) | |||||||
\(14\) | −1.97228 | + | 6.00733i | −0.527115 | + | 1.60553i | ||||
\(15\) | 3.95127 | + | 0.0537608i | 1.02021 | + | 0.0138810i | ||||
\(16\) | −2.11745 | + | 1.01971i | −0.529362 | + | 0.254927i | ||||
\(17\) | −1.39998 | − | 1.29899i | −0.339544 | − | 0.315051i | 0.491908 | − | 0.870647i | \(-0.336300\pi\) |
−0.831452 | + | 0.555596i | \(0.812490\pi\) | |||||||
\(18\) | 2.29882 | − | 6.79084i | 0.541838 | − | 1.60062i | ||||
\(19\) | 4.54187 | − | 2.62225i | 1.04198 | − | 0.601586i | 0.121584 | − | 0.992581i | \(-0.461203\pi\) |
0.920393 | + | 0.390996i | \(0.127869\pi\) | |||||||
\(20\) | −6.20664 | − | 5.75892i | −1.38785 | − | 1.28773i | ||||
\(21\) | −1.16051 | + | 4.43320i | −0.253243 | + | 0.967403i | ||||
\(22\) | 9.11220 | − | 8.45488i | 1.94273 | − | 1.80259i | ||||
\(23\) | −0.184426 | + | 0.597895i | −0.0384555 | + | 0.124670i | −0.972765 | − | 0.231793i | \(-0.925541\pi\) |
0.934310 | + | 0.356462i | \(0.116017\pi\) | |||||||
\(24\) | −6.18146 | + | 3.45760i | −1.26179 | + | 0.705780i | ||||
\(25\) | 0.0749465 | − | 0.190961i | 0.0149893 | − | 0.0381921i | ||||
\(26\) | −1.08061 | + | 1.00266i | −0.211925 | + | 0.196638i | ||||
\(27\) | 1.36200 | − | 5.01448i | 0.262117 | − | 0.965036i | ||||
\(28\) | 8.21098 | − | 5.38394i | 1.55173 | − | 1.01747i | ||||
\(29\) | 5.12493 | − | 5.52337i | 0.951676 | − | 1.02566i | −0.0479640 | − | 0.998849i | \(-0.515273\pi\) |
0.999640 | − | 0.0268142i | \(-0.00853625\pi\) | |||||||
\(30\) | −7.30252 | − | 5.98789i | −1.33325 | − | 1.09323i | ||||
\(31\) | 4.69739i | 0.843677i | 0.906671 | + | 0.421838i | \(0.138615\pi\) | ||||
−0.906671 | + | 0.421838i | \(0.861385\pi\) | |||||||
\(32\) | −2.49776 | − | 0.570098i | −0.441547 | − | 0.100780i | ||||
\(33\) | 6.21712 | − | 6.52026i | 1.08226 | − | 1.13503i | ||||
\(34\) | 0.680231 | + | 4.51303i | 0.116659 | + | 0.773979i | ||||
\(35\) | 4.92526 | + | 3.48967i | 0.832521 | + | 0.589862i | ||||
\(36\) | −9.36605 | + | 6.01906i | −1.56101 | + | 1.00318i | ||||
\(37\) | −5.42578 | + | 1.67363i | −0.891993 | + | 0.275143i | −0.706678 | − | 0.707536i | \(-0.749807\pi\) |
−0.185315 | + | 0.982679i | \(0.559331\pi\) | |||||||
\(38\) | −12.3933 | − | 1.86799i | −2.01046 | − | 0.303028i | ||||
\(39\) | −0.737285 | + | 0.773235i | −0.118060 | + | 0.123817i | ||||
\(40\) | 1.39049 | + | 9.22529i | 0.219856 | + | 1.45865i | ||||
\(41\) | −0.543928 | − | 7.25822i | −0.0849473 | − | 1.13354i | −0.862952 | − | 0.505285i | \(-0.831387\pi\) |
0.778005 | − | 0.628258i | \(-0.216232\pi\) | |||||||
\(42\) | 8.77383 | − | 6.55389i | 1.35383 | − | 1.01129i | ||||
\(43\) | 0.446996 | − | 5.96474i | 0.0681662 | − | 0.909615i | −0.853366 | − | 0.521312i | \(-0.825443\pi\) |
0.921532 | − | 0.388302i | \(-0.126938\pi\) | |||||||
\(44\) | −19.2494 | + | 1.44254i | −2.90195 | + | 0.217471i | ||||
\(45\) | −5.54814 | − | 4.00804i | −0.827068 | − | 0.597483i | ||||
\(46\) | 1.23546 | − | 0.842319i | 0.182158 | − | 0.124193i | ||||
\(47\) | 1.56059 | − | 1.95692i | 0.227635 | − | 0.285446i | −0.654877 | − | 0.755736i | \(-0.727279\pi\) |
0.882512 | + | 0.470290i | \(0.155851\pi\) | |||||||
\(48\) | 4.01655 | + | 0.661403i | 0.579740 | + | 0.0954654i | ||||
\(49\) | −5.29965 | + | 4.57315i | −0.757092 | + | 0.653308i | ||||
\(50\) | −0.424565 | + | 0.245123i | −0.0600426 | + | 0.0346656i | ||||
\(51\) | 0.692125 | + | 3.23464i | 0.0969169 | + | 0.452940i | ||||
\(52\) | 2.28278 | − | 0.171070i | 0.316564 | − | 0.0237232i | ||||
\(53\) | −1.70161 | + | 5.51649i | −0.233735 | + | 0.757749i | 0.760386 | + | 0.649471i | \(0.225010\pi\) |
−0.994121 | + | 0.108278i | \(0.965466\pi\) | |||||||
\(54\) | −10.0164 | + | 7.33974i | −1.36306 | + | 0.998812i | ||||
\(55\) | −5.14893 | − | 10.6919i | −0.694282 | − | 1.44169i | ||||
\(56\) | −10.7725 | − | 1.00285i | −1.43954 | − | 0.134012i | ||||
\(57\) | −9.04827 | − | 0.802002i | −1.19847 | − | 0.106228i | ||||
\(58\) | −17.8054 | + | 2.68373i | −2.33796 | + | 0.352391i | ||||
\(59\) | 11.3514 | − | 5.46656i | 1.47783 | − | 0.711685i | 0.490658 | − | 0.871352i | \(-0.336756\pi\) |
0.987171 | + | 0.159667i | \(0.0510420\pi\) | |||||||
\(60\) | 3.06846 | + | 14.3404i | 0.396136 | + | 1.85134i | ||||
\(61\) | 0.101088 | + | 0.0230726i | 0.0129429 | + | 0.00295414i | 0.228988 | − | 0.973429i | \(-0.426459\pi\) |
−0.216045 | + | 0.976384i | \(0.569316\pi\) | |||||||
\(62\) | 6.99918 | − | 8.77669i | 0.888896 | − | 1.11464i | ||||
\(63\) | 6.05660 | − | 5.13006i | 0.763060 | − | 0.646327i | ||||
\(64\) | 6.74805 | + | 8.46179i | 0.843506 | + | 1.05772i | ||||
\(65\) | 0.610609 | + | 1.26794i | 0.0757368 | + | 0.157269i | ||||
\(66\) | −21.3315 | + | 2.91898i | −2.62572 | + | 0.359301i | ||||
\(67\) | 12.1517 | 1.48456 | 0.742281 | − | 0.670088i | \(-0.233744\pi\) | ||||
0.742281 | + | 0.670088i | \(0.233744\pi\) | |||||||
\(68\) | 3.54374 | − | 6.13793i | 0.429741 | − | 0.744333i | ||||
\(69\) | 0.856409 | − | 0.664105i | 0.103100 | − | 0.0799489i | ||||
\(70\) | −4.00278 | − | 13.8589i | −0.478424 | − | 1.65645i | ||||
\(71\) | −2.65016 | + | 0.604882i | −0.314516 | + | 0.0717862i | −0.376865 | − | 0.926268i | \(-0.622998\pi\) |
0.0623490 | + | 0.998054i | \(0.480141\pi\) | |||||||
\(72\) | 12.2039 | + | 1.24926i | 1.43825 | + | 0.147227i | ||||
\(73\) | −1.02444 | − | 6.79671i | −0.119902 | − | 0.795495i | −0.965259 | − | 0.261294i | \(-0.915851\pi\) |
0.845358 | − | 0.534201i | \(-0.179387\pi\) | |||||||
\(74\) | 12.6314 | + | 4.95744i | 1.46837 | + | 0.576291i | ||||
\(75\) | −0.296271 | + | 0.196144i | −0.0342104 | + | 0.0226487i | ||||
\(76\) | 13.2382 | + | 14.2674i | 1.51853 | + | 1.63658i | ||||
\(77\) | 13.4698 | − | 2.81996i | 1.53503 | − | 0.321364i | ||||
\(78\) | 2.52969 | − | 0.346160i | 0.286431 | − | 0.0391949i | ||||
\(79\) | 13.3560 | 1.50266 | 0.751332 | − | 0.659925i | \(-0.229412\pi\) | ||||
0.751332 | + | 0.659925i | \(0.229412\pi\) | |||||||
\(80\) | 2.68095 | − | 4.64354i | 0.299739 | − | 0.519164i | ||||
\(81\) | −6.92067 | + | 5.75363i | −0.768964 | + | 0.639292i | ||||
\(82\) | −9.79856 | + | 14.3718i | −1.08207 | + | 1.58710i | ||||
\(83\) | 14.9414 | − | 2.25206i | 1.64003 | − | 0.247195i | 0.736727 | − | 0.676190i | \(-0.236370\pi\) |
0.903307 | + | 0.428995i | \(0.141132\pi\) | |||||||
\(84\) | −16.9980 | − | 0.537853i | −1.85463 | − | 0.0586845i | ||||
\(85\) | 4.30848 | + | 0.649399i | 0.467320 | + | 0.0704372i | ||||
\(86\) | −9.72272 | + | 10.4786i | −1.04843 | + | 1.12994i | ||||
\(87\) | −12.7617 | + | 2.73066i | −1.36820 | + | 0.292758i | ||||
\(88\) | 17.5742 | + | 11.9819i | 1.87341 | + | 1.27727i | ||||
\(89\) | 2.61883 | − | 6.67267i | 0.277596 | − | 0.707302i | −0.722281 | − | 0.691600i | \(-0.756906\pi\) |
0.999877 | − | 0.0157024i | \(-0.00499843\pi\) | |||||||
\(90\) | 4.39422 | + | 15.7555i | 0.463191 | + | 1.66078i | ||||
\(91\) | −1.59738 | + | 0.334417i | −0.167451 | + | 0.0350565i | ||||
\(92\) | −2.31553 | − | 0.173525i | −0.241411 | − | 0.0180912i | ||||
\(93\) | 4.67427 | − | 6.65940i | 0.484699 | − | 0.690548i | ||||
\(94\) | −5.83166 | + | 1.33104i | −0.601490 | + | 0.137286i | ||||
\(95\) | −5.19151 | + | 10.7803i | −0.532638 | + | 1.10603i | ||||
\(96\) | 2.97374 | + | 3.29369i | 0.303506 | + | 0.336161i | ||||
\(97\) | 10.2826 | + | 5.93664i | 1.04404 | + | 0.602775i | 0.920974 | − | 0.389624i | \(-0.127395\pi\) |
0.123063 | + | 0.992399i | \(0.460728\pi\) | |||||||
\(98\) | 16.7160 | − | 0.648019i | 1.68857 | − | 0.0654598i | ||||
\(99\) | −15.3021 | + | 3.05713i | −1.53792 | + | 0.307253i | ||||
\(100\) | 0.752801 | + | 0.113467i | 0.0752801 | + | 0.0113467i | ||||
\(101\) | 0.0644688 | + | 0.860277i | 0.00641489 | + | 0.0856008i | 0.999492 | − | 0.0318609i | \(-0.0101433\pi\) |
−0.993077 | + | 0.117462i | \(0.962524\pi\) | |||||||
\(102\) | 3.52647 | − | 7.07493i | 0.349173 | − | 0.700522i | ||||
\(103\) | 9.87441 | + | 14.4831i | 0.972954 | + | 1.42706i | 0.903063 | + | 0.429507i | \(0.141313\pi\) |
0.0698909 | + | 0.997555i | \(0.477735\pi\) | |||||||
\(104\) | −2.08411 | − | 1.42092i | −0.204364 | − | 0.139333i | ||||
\(105\) | −3.50995 | − | 9.84826i | −0.342536 | − | 0.961092i | ||||
\(106\) | 11.3990 | − | 7.77169i | 1.10717 | − | 0.754853i | ||||
\(107\) | 6.91589 | + | 2.71429i | 0.668584 | + | 0.262400i | 0.675262 | − | 0.737578i | \(-0.264030\pi\) |
−0.00667807 | + | 0.999978i | \(0.502126\pi\) | |||||||
\(108\) | 19.2675 | + | 0.786847i | 1.85402 | + | 0.0757144i | ||||
\(109\) | −5.55422 | − | 14.1519i | −0.531998 | − | 1.35551i | −0.904101 | − | 0.427318i | \(-0.859458\pi\) |
0.372103 | − | 0.928191i | \(-0.378637\pi\) | |||||||
\(110\) | −6.31067 | + | 27.6489i | −0.601699 | + | 2.63621i | ||||
\(111\) | 9.35742 | + | 3.02640i | 0.888167 | + | 0.287253i | ||||
\(112\) | 4.48115 | + | 4.31080i | 0.423429 | + | 0.407332i | ||||
\(113\) | 0.743634 | + | 0.291855i | 0.0699552 | + | 0.0274554i | 0.400061 | − | 0.916489i | \(-0.368989\pi\) |
−0.330105 | + | 0.943944i | \(0.607084\pi\) | |||||||
\(114\) | 15.7110 | + | 14.9805i | 1.47147 | + | 1.40305i | ||||
\(115\) | −0.420764 | − | 1.36408i | −0.0392364 | − | 0.127201i | ||||
\(116\) | 24.2161 | + | 13.9812i | 2.24841 | + | 1.29812i | ||||
\(117\) | 1.81466 | − | 0.362544i | 0.167766 | − | 0.0335172i | ||||
\(118\) | −29.3544 | − | 6.69996i | −2.70230 | − | 0.616781i | ||||
\(119\) | −1.93049 | + | 4.66951i | −0.176968 | + | 0.428053i | ||||
\(120\) | 7.20862 | − | 14.4622i | 0.658054 | − | 1.32021i | ||||
\(121\) | −15.3422 | − | 4.73243i | −1.39474 | − | 0.430221i | ||||
\(122\) | −0.154495 | − | 0.193731i | −0.0139874 | − | 0.0175396i | ||||
\(123\) | −6.45138 | + | 10.8311i | −0.581701 | + | 0.976607i | ||||
\(124\) | −16.9955 | + | 3.87912i | −1.52624 | + | 0.348355i | ||||
\(125\) | −2.43424 | − | 10.6651i | −0.217725 | − | 0.953915i | ||||
\(126\) | −18.9601 | + | 0.560684i | −1.68910 | + | 0.0499497i | ||||
\(127\) | −2.48820 | + | 10.9015i | −0.220792 | + | 0.967355i | 0.736091 | + | 0.676882i | \(0.236669\pi\) |
−0.956883 | + | 0.290472i | \(0.906188\pi\) | |||||||
\(128\) | − | 20.7408i | − | 1.83325i | ||||||
\(129\) | −6.56908 | + | 8.01131i | −0.578375 | + | 0.705356i | ||||
\(130\) | 0.748379 | − | 3.27886i | 0.0656372 | − | 0.287575i | ||||
\(131\) | 1.04910 | − | 13.9993i | 0.0916605 | − | 1.22312i | −0.741829 | − | 0.670589i | \(-0.766041\pi\) |
0.833489 | − | 0.552535i | \(-0.186340\pi\) | |||||||
\(132\) | 28.7249 | + | 17.1096i | 2.50018 | + | 1.48920i | ||||
\(133\) | −10.6907 | − | 8.84547i | −0.927002 | − | 0.766999i | ||||
\(134\) | −22.7044 | − | 18.1061i | −1.96136 | − | 1.56413i | ||||
\(135\) | 3.87719 | + | 11.2030i | 0.333695 | + | 0.964197i | ||||
\(136\) | −7.26974 | + | 2.85316i | −0.623375 | + | 0.244657i | ||||
\(137\) | −5.85400 | + | 8.58624i | −0.500141 | + | 0.733572i | −0.990434 | − | 0.137986i | \(-0.955937\pi\) |
0.490293 | + | 0.871557i | \(0.336890\pi\) | |||||||
\(138\) | −2.58966 | − | 0.0352348i | −0.220446 | − | 0.00299938i | ||||
\(139\) | −3.34061 | + | 0.250344i | −0.283347 | + | 0.0212339i | −0.215645 | − | 0.976472i | \(-0.569186\pi\) |
−0.0677012 | + | 0.997706i | \(0.521566\pi\) | |||||||
\(140\) | −8.55861 | + | 20.7017i | −0.723335 | + | 1.74962i | ||||
\(141\) | −4.15970 | + | 1.22138i | −0.350310 | + | 0.102858i | ||||
\(142\) | 5.85289 | + | 2.81860i | 0.491163 | + | 0.236532i | ||||
\(143\) | 3.06595 | + | 0.945721i | 0.256388 | + | 0.0790851i | ||||
\(144\) | −5.03604 | − | 4.93444i | −0.419670 | − | 0.411204i | ||||
\(145\) | −2.56209 | + | 16.9984i | −0.212770 | + | 1.41164i | ||||
\(146\) | −8.21311 | + | 14.2255i | −0.679722 | + | 1.17731i | ||||
\(147\) | 12.0639 | − | 1.20971i | 0.995010 | − | 0.0997754i | ||||
\(148\) | −10.5360 | − | 18.2488i | −0.866050 | − | 1.50004i | ||||
\(149\) | 17.9607 | − | 7.04905i | 1.47140 | − | 0.577480i | 0.511861 | − | 0.859069i | \(-0.328956\pi\) |
0.959535 | + | 0.281588i | \(0.0908612\pi\) | |||||||
\(150\) | 0.845814 | + | 0.0749696i | 0.0690604 | + | 0.00612124i | ||||
\(151\) | 6.79459 | − | 6.30446i | 0.552936 | − | 0.513049i | −0.353477 | − | 0.935443i | \(-0.615001\pi\) |
0.906412 | + | 0.422394i | \(0.138810\pi\) | |||||||
\(152\) | −1.60266 | − | 21.3860i | −0.129993 | − | 1.73464i | ||||
\(153\) | 2.23750 | − | 5.27440i | 0.180891 | − | 0.426410i | ||||
\(154\) | −29.3690 | − | 14.8014i | −2.36662 | − | 1.19273i | ||||
\(155\) | −6.03710 | − | 8.85480i | −0.484911 | − | 0.711234i | ||||
\(156\) | −3.40648 | − | 2.02902i | −0.272736 | − | 0.162451i | ||||
\(157\) | 7.60393 | + | 15.7897i | 0.606860 | + | 1.26016i | 0.947438 | + | 0.319941i | \(0.103663\pi\) |
−0.340578 | + | 0.940216i | \(0.610623\pi\) | |||||||
\(158\) | −24.9545 | − | 19.9006i | −1.98528 | − | 1.58320i | ||||
\(159\) | 7.90169 | − | 6.12739i | 0.626645 | − | 0.485934i | ||||
\(160\) | 5.44109 | − | 2.13547i | 0.430156 | − | 0.168824i | ||||
\(161\) | 1.65276 | − | 0.0939337i | 0.130256 | − | 0.00740301i | ||||
\(162\) | 21.5037 | − | 0.438292i | 1.68949 | − | 0.0344355i | ||||
\(163\) | 5.34850 | + | 3.64655i | 0.418927 | + | 0.285620i | 0.754381 | − | 0.656437i | \(-0.227937\pi\) |
−0.335454 | + | 0.942057i | \(0.608890\pi\) | |||||||
\(164\) | 25.8116 | − | 7.96183i | 2.01555 | − | 0.621715i | ||||
\(165\) | −3.33970 | + | 20.2812i | −0.259995 | + | 1.57889i | ||||
\(166\) | −31.2724 | − | 18.0551i | −2.42721 | − | 1.40135i | ||||
\(167\) | −11.4226 | + | 3.52340i | −0.883907 | + | 0.272649i | −0.703289 | − | 0.710904i | \(-0.748286\pi\) |
−0.180618 | + | 0.983553i | \(0.557810\pi\) | |||||||
\(168\) | 14.2741 | + | 12.1412i | 1.10127 | + | 0.936716i | ||||
\(169\) | 12.0589 | + | 3.71966i | 0.927604 | + | 0.286128i | ||||
\(170\) | −7.08243 | − | 7.63304i | −0.543197 | − | 0.585428i | ||||
\(171\) | 12.0295 | + | 10.1407i | 0.919919 | + | 0.775480i | ||||
\(172\) | 21.9500 | − | 3.30843i | 1.67367 | − | 0.252266i | ||||
\(173\) | 2.44579 | + | 10.7157i | 0.185950 | + | 0.814700i | 0.978723 | + | 0.205184i | \(0.0657792\pi\) |
−0.792773 | + | 0.609516i | \(0.791364\pi\) | |||||||
\(174\) | 27.9129 | + | 13.9131i | 2.11607 | + | 1.05475i | ||||
\(175\) | −0.542664 | − | 0.00978337i | −0.0410216 | − | 0.000739553i | ||||
\(176\) | −3.60323 | − | 11.6814i | −0.271603 | − | 0.880517i | ||||
\(177\) | −21.5323 | − | 3.54572i | −1.61847 | − | 0.266513i | ||||
\(178\) | −14.8354 | + | 8.56525i | −1.11196 | + | 0.641992i | ||||
\(179\) | −3.28564 | + | 3.54108i | −0.245581 | + | 0.264673i | −0.843798 | − | 0.536661i | \(-0.819685\pi\) |
0.598217 | + | 0.801334i | \(0.295876\pi\) | |||||||
\(180\) | 9.91972 | − | 23.3835i | 0.739372 | − | 1.74290i | ||||
\(181\) | 9.98850 | − | 7.96556i | 0.742439 | − | 0.592075i | −0.177507 | − | 0.984119i | \(-0.556803\pi\) |
0.919946 | + | 0.392044i | \(0.128232\pi\) | |||||||
\(182\) | 3.48286 | + | 1.75529i | 0.258167 | + | 0.130110i | ||||
\(183\) | −0.120351 | − | 0.133300i | −0.00889660 | − | 0.00985379i | ||||
\(184\) | 1.87559 | + | 1.74029i | 0.138270 | + | 0.128296i | ||||
\(185\) | 8.07689 | − | 10.1281i | 0.593825 | − | 0.744633i | ||||
\(186\) | −18.6561 | + | 5.47782i | −1.36793 | + | 0.401653i | ||||
\(187\) | 7.76652 | − | 6.19360i | 0.567944 | − | 0.452921i | ||||
\(188\) | 8.36901 | + | 4.03030i | 0.610373 | + | 0.293940i | ||||
\(189\) | −13.6911 | + | 1.24600i | −0.995884 | + | 0.0906333i | ||||
\(190\) | 25.7627 | − | 12.4067i | 1.86902 | − | 0.900073i | ||||
\(191\) | −3.12238 | + | 6.48369i | −0.225928 | + | 0.469143i | −0.982861 | − | 0.184349i | \(-0.940982\pi\) |
0.756933 | + | 0.653492i | \(0.226697\pi\) | |||||||
\(192\) | −1.14644 | − | 18.7110i | −0.0827374 | − | 1.35035i | ||||
\(193\) | −23.6457 | − | 11.3872i | −1.70206 | − | 0.819667i | −0.993477 | − | 0.114035i | \(-0.963622\pi\) |
−0.708579 | − | 0.705632i | \(-0.750663\pi\) | |||||||
\(194\) | −10.3665 | − | 26.4133i | −0.744268 | − | 1.89636i | ||||
\(195\) | 0.396054 | − | 2.40514i | 0.0283620 | − | 0.172236i | ||||
\(196\) | −20.9225 | − | 15.3980i | −1.49446 | − | 1.09986i | ||||
\(197\) | 14.2362i | 1.01429i | 0.861861 | + | 0.507144i | \(0.169299\pi\) | ||||
−0.861861 | + | 0.507144i | \(0.830701\pi\) | |||||||
\(198\) | 33.1458 | + | 17.0883i | 2.35557 | + | 1.21441i | ||||
\(199\) | −5.46115 | − | 8.01003i | −0.387131 | − | 0.567816i | 0.582364 | − | 0.812928i | \(-0.302128\pi\) |
−0.969495 | + | 0.245112i | \(0.921175\pi\) | |||||||
\(200\) | −0.570577 | − | 0.614936i | −0.0403459 | − | 0.0434825i | ||||
\(201\) | −17.2272 | − | 12.0919i | −1.21511 | − | 0.852894i | ||||
\(202\) | 1.16137 | − | 1.70342i | 0.0817137 | − | 0.119852i | ||||
\(203\) | −18.4228 | − | 7.61642i | −1.29302 | − | 0.534568i | ||||
\(204\) | −11.1316 | + | 5.17533i | −0.779368 | + | 0.362346i | ||||
\(205\) | 10.3536 | + | 12.9830i | 0.723128 | + | 0.906773i | ||||
\(206\) | 3.13049 | − | 41.7735i | 0.218111 | − | 2.91050i | ||||
\(207\) | −1.87495 | + | 0.0892956i | −0.130318 | + | 0.00620647i | ||||
\(208\) | 0.427305 | + | 1.38529i | 0.0296283 | + | 0.0960525i | ||||
\(209\) | 9.96621 | + | 25.3935i | 0.689377 | + | 1.75651i | ||||
\(210\) | −8.11599 | + | 23.6305i | −0.560056 | + | 1.63066i | ||||
\(211\) | −5.45339 | + | 13.8950i | −0.375427 | + | 0.956573i | 0.610890 | + | 0.791715i | \(0.290812\pi\) |
−0.986317 | + | 0.164858i | \(0.947284\pi\) | |||||||
\(212\) | −21.3643 | − | 1.60103i | −1.46731 | − | 0.109959i | ||||
\(213\) | 4.35898 | + | 1.77959i | 0.298673 | + | 0.121935i | ||||
\(214\) | −8.87744 | − | 15.3762i | −0.606850 | − | 1.05109i | ||||
\(215\) | 6.82329 | + | 11.8183i | 0.465345 | + | 0.806001i | ||||
\(216\) | −16.0582 | − | 13.9149i | −1.09262 | − | 0.946790i | ||||
\(217\) | 11.6490 | − | 4.33123i | 0.790785 | − | 0.294023i | ||||
\(218\) | −10.7090 | + | 34.7176i | −0.725302 | + | 2.35137i | ||||
\(219\) | −5.31093 | + | 10.6550i | −0.358880 | + | 0.719996i | ||||
\(220\) | 34.4320 | − | 27.4586i | 2.32141 | − | 1.85126i | ||||
\(221\) | −0.921028 | + | 0.734495i | −0.0619551 | + | 0.0494075i | ||||
\(222\) | −12.9742 | − | 19.5973i | −0.870771 | − | 1.31528i | ||||
\(223\) | 3.30654 | − | 10.7196i | 0.221423 | − | 0.717834i | −0.774895 | − | 0.632090i | \(-0.782197\pi\) |
0.996317 | − | 0.0857440i | \(-0.0273267\pi\) | |||||||
\(224\) | 0.889287 | + | 6.71983i | 0.0594180 | + | 0.448987i | ||||
\(225\) | 0.615196 | + | 0.0167438i | 0.0410131 | + | 0.00111625i | ||||
\(226\) | −0.954552 | − | 1.65333i | −0.0634958 | − | 0.109978i | ||||
\(227\) | −8.22366 | − | 14.2438i | −0.545824 | − | 0.945394i | −0.998555 | − | 0.0537472i | \(-0.982883\pi\) |
0.452731 | − | 0.891647i | \(-0.350450\pi\) | |||||||
\(228\) | −4.57038 | − | 33.3996i | −0.302681 | − | 2.21194i | ||||
\(229\) | −17.4878 | − | 1.31053i | −1.15563 | − | 0.0866024i | −0.516908 | − | 0.856041i | \(-0.672917\pi\) |
−0.638721 | + | 0.769439i | \(0.720536\pi\) | |||||||
\(230\) | −1.24634 | + | 3.17562i | −0.0821812 | + | 0.209394i | ||||
\(231\) | −21.9020 | − | 9.40573i | −1.44105 | − | 0.618852i | ||||
\(232\) | −11.2567 | − | 28.6815i | −0.739036 | − | 1.88303i | ||||
\(233\) | −6.03806 | − | 19.5749i | −0.395567 | − | 1.28240i | −0.906292 | − | 0.422652i | \(-0.861099\pi\) |
0.510726 | − | 0.859744i | \(-0.329377\pi\) | |||||||
\(234\) | −3.93075 | − | 2.02649i | −0.256961 | − | 0.132476i | ||||
\(235\) | −0.426747 | + | 5.69455i | −0.0278379 | + | 0.371471i | ||||
\(236\) | 29.1525 | + | 36.5560i | 1.89766 | + | 2.37959i | ||||
\(237\) | −18.9345 | − | 13.2902i | −1.22993 | − | 0.863293i | ||||
\(238\) | 10.5646 | − | 5.84814i | 0.684801 | − | 0.379078i | ||||
\(239\) | −15.1521 | + | 22.2241i | −0.980110 | + | 1.43756i | −0.0825907 | + | 0.996584i | \(0.526319\pi\) |
−0.897520 | + | 0.440974i | \(0.854633\pi\) | |||||||
\(240\) | −8.42142 | + | 3.91531i | −0.543600 | + | 0.252732i | ||||
\(241\) | −11.6197 | − | 12.5231i | −0.748492 | − | 0.806682i | 0.237866 | − | 0.971298i | \(-0.423552\pi\) |
−0.986358 | + | 0.164616i | \(0.947362\pi\) | |||||||
\(242\) | 21.6142 | + | 31.7022i | 1.38941 | + | 2.03789i | ||||
\(243\) | 15.5366 | − | 1.27020i | 0.996675 | − | 0.0814836i | ||||
\(244\) | 0.384796i | 0.0246341i | ||||||||
\(245\) | 4.11265 | − | 15.4317i | 0.262747 | − | 0.985897i | ||||
\(246\) | 28.1923 | − | 10.6244i | 1.79748 | − | 0.677385i | ||||
\(247\) | −1.18189 | − | 3.01140i | −0.0752018 | − | 0.191611i | ||||
\(248\) | 17.3065 | + | 8.33436i | 1.09896 | + | 0.529232i | ||||
\(249\) | −23.4231 | − | 11.6752i | −1.48438 | − | 0.739885i | ||||
\(250\) | −11.3430 | + | 23.5539i | −0.717391 | + | 1.48968i | ||||
\(251\) | 5.01961 | − | 2.41732i | 0.316835 | − | 0.152580i | −0.268706 | − | 0.963222i | \(-0.586596\pi\) |
0.585542 | + | 0.810642i | \(0.300882\pi\) | |||||||
\(252\) | 23.5625 | + | 17.6768i | 1.48430 | + | 1.11354i | ||||
\(253\) | −2.93223 | − | 1.41209i | −0.184348 | − | 0.0887772i | ||||
\(254\) | 20.8924 | − | 16.6612i | 1.31091 | − | 1.04541i | ||||
\(255\) | −5.46185 | − | 5.20792i | −0.342034 | − | 0.326132i | ||||
\(256\) | −17.4080 | + | 21.8290i | −1.08800 | + | 1.36431i | ||||
\(257\) | 5.46780 | + | 5.07338i | 0.341072 | + | 0.316469i | 0.832047 | − | 0.554705i | \(-0.187169\pi\) |
−0.490975 | + | 0.871174i | \(0.663359\pi\) | |||||||
\(258\) | 24.2107 | − | 5.18045i | 1.50729 | − | 0.322520i | ||||
\(259\) | 9.15325 | + | 11.9121i | 0.568756 | + | 0.740184i | ||||
\(260\) | −4.08328 | + | 3.25630i | −0.253234 | + | 0.201947i | ||||
\(261\) | 20.8092 | + | 8.82769i | 1.28806 | + | 0.546420i | ||||
\(262\) | −22.8193 | + | 24.5934i | −1.40978 | + | 1.51938i | ||||
\(263\) | 6.19928 | − | 3.57916i | 0.382264 | − | 0.220700i | −0.296539 | − | 0.955021i | \(-0.595832\pi\) |
0.678803 | + | 0.734321i | \(0.262499\pi\) | |||||||
\(264\) | −12.9917 | − | 34.4742i | −0.799583 | − | 2.12174i | ||||
\(265\) | −3.88219 | − | 12.5858i | −0.238481 | − | 0.773137i | ||||
\(266\) | 6.79485 | + | 32.4563i | 0.416619 | + | 1.99002i | ||||
\(267\) | −10.3525 | + | 6.85378i | −0.633563 | + | 0.419445i | ||||
\(268\) | 10.0349 | + | 43.9657i | 0.612978 | + | 2.68563i | ||||
\(269\) | 13.0298 | − | 1.96393i | 0.794440 | − | 0.119743i | 0.260732 | − | 0.965411i | \(-0.416036\pi\) |
0.533708 | + | 0.845669i | \(0.320798\pi\) | |||||||
\(270\) | 9.44835 | − | 26.7089i | 0.575008 | − | 1.62545i | ||||
\(271\) | −4.58657 | − | 4.94315i | −0.278614 | − | 0.300275i | 0.578205 | − | 0.815892i | \(-0.303753\pi\) |
−0.856819 | + | 0.515617i | \(0.827563\pi\) | |||||||
\(272\) | 4.28896 | + | 1.32297i | 0.260057 | + | 0.0802168i | ||||
\(273\) | 2.59735 | + | 1.11542i | 0.157199 | + | 0.0675083i | ||||
\(274\) | 23.7313 | − | 7.32014i | 1.43366 | − | 0.442226i | ||||
\(275\) | 0.924083 | + | 0.533520i | 0.0557243 | + | 0.0321725i | ||||
\(276\) | 3.11001 | + | 2.55013i | 0.187201 | + | 0.153500i | ||||
\(277\) | 18.5880 | − | 5.73363i | 1.11684 | − | 0.344500i | 0.319234 | − | 0.947676i | \(-0.396574\pi\) |
0.797609 | + | 0.603175i | \(0.206098\pi\) | |||||||
\(278\) | 6.61466 | + | 4.50980i | 0.396721 | + | 0.270480i | ||||
\(279\) | −13.2533 | + | 4.78964i | −0.793452 | + | 0.286748i | ||||
\(280\) | 21.5956 | − | 11.9544i | 1.29058 | − | 0.714414i | ||||
\(281\) | 18.2269 | − | 7.15355i | 1.08733 | − | 0.426745i | 0.247107 | − | 0.968988i | \(-0.420520\pi\) |
0.840222 | + | 0.542243i | \(0.182425\pi\) | |||||||
\(282\) | 9.59192 | + | 3.91597i | 0.571191 | + | 0.233193i | ||||
\(283\) | −8.44124 | − | 6.73166i | −0.501779 | − | 0.400156i | 0.339626 | − | 0.940561i | \(-0.389700\pi\) |
−0.841405 | + | 0.540405i | \(0.818271\pi\) | |||||||
\(284\) | −4.37702 | − | 9.08897i | −0.259728 | − | 0.539331i | ||||
\(285\) | 18.0871 | − | 10.1170i | 1.07139 | − | 0.599282i | ||||
\(286\) | −4.31934 | − | 6.33531i | −0.255408 | − | 0.374615i | ||||
\(287\) | −17.4980 | + | 8.04132i | −1.03288 | + | 0.474664i | ||||
\(288\) | −0.938338 | − | 7.62850i | −0.0552921 | − | 0.449514i | ||||
\(289\) | −0.997848 | − | 13.3154i | −0.0586970 | − | 0.783257i | ||||
\(290\) | 30.1149 | − | 27.9425i | 1.76841 | − | 1.64084i | ||||
\(291\) | −8.66998 | − | 18.6482i | −0.508243 | − | 1.09318i | ||||
\(292\) | 23.7451 | − | 9.31925i | 1.38957 | − | 0.545368i | ||||
\(293\) | 8.56348 | + | 14.8324i | 0.500284 | + | 0.866518i | 1.00000 | 0.000328097i | \(0.000104437\pi\) | |
−0.499716 | + | 0.866189i | \(0.666562\pi\) | |||||||
\(294\) | −24.3428 | − | 15.7151i | −1.41970 | − | 0.916521i | ||||
\(295\) | −14.3723 | + | 24.8936i | −0.836789 | + | 1.44936i | ||||
\(296\) | −3.46059 | + | 22.9595i | −0.201143 | + | 1.33449i | ||||
\(297\) | 24.7355 | + | 10.8927i | 1.43530 | + | 0.632060i | ||||
\(298\) | −44.0612 | − | 13.5911i | −2.55240 | − | 0.787310i | ||||
\(299\) | 0.347732 | + | 0.167459i | 0.0201099 | + | 0.00968440i | ||||
\(300\) | −0.954324 | − | 0.909955i | −0.0550979 | − | 0.0525363i | ||||
\(301\) | −15.2040 | + | 4.39129i | −0.876345 | + | 0.253110i | ||||
\(302\) | −22.0889 | + | 1.65533i | −1.27107 | + | 0.0952536i | ||||
\(303\) | 0.764647 | − | 1.28375i | 0.0439278 | − | 0.0737495i | ||||
\(304\) | −6.94324 | + | 10.1839i | −0.398222 | + | 0.584084i | ||||
\(305\) | −0.220208 | + | 0.0864251i | −0.0126091 | + | 0.00494869i | ||||
\(306\) | −12.0395 | + | 6.52087i | −0.688253 | + | 0.372773i | ||||
\(307\) | −4.73908 | − | 3.77929i | −0.270474 | − | 0.215696i | 0.478855 | − | 0.877894i | \(-0.341052\pi\) |
−0.749328 | + | 0.662199i | \(0.769624\pi\) | |||||||
\(308\) | 21.3262 | + | 46.4061i | 1.21518 | + | 2.64424i | ||||
\(309\) | 0.413053 | − | 30.3582i | 0.0234977 | − | 1.72702i | ||||
\(310\) | −1.91394 | + | 25.5398i | −0.108705 | + | 1.45056i | ||||
\(311\) | −1.99969 | + | 8.76121i | −0.113392 | + | 0.496803i | 0.886056 | + | 0.463578i | \(0.153435\pi\) |
−0.999448 | + | 0.0332244i | \(0.989422\pi\) | |||||||
\(312\) | 1.54068 | + | 4.08827i | 0.0872237 | + | 0.231453i | ||||
\(313\) | 17.2783i | 0.976625i | 0.872669 | + | 0.488312i | \(0.162387\pi\) | ||||
−0.872669 | + | 0.488312i | \(0.837613\pi\) | |||||||
\(314\) | 9.31958 | − | 40.8317i | 0.525934 | − | 2.30427i | ||||
\(315\) | −4.82380 | + | 17.4544i | −0.271790 | + | 0.983442i | ||||
\(316\) | 11.0294 | + | 48.3229i | 0.620452 | + | 2.71838i | ||||
\(317\) | 4.28935 | − | 0.979015i | 0.240914 | − | 0.0549870i | −0.100359 | − | 0.994951i | \(-0.531999\pi\) |
0.341273 | + | 0.939964i | \(0.389142\pi\) | |||||||
\(318\) | −23.8935 | − | 0.325095i | −1.33988 | − | 0.0182304i | ||||
\(319\) | 24.4358 | + | 30.6415i | 1.36814 | + | 1.71559i | ||||
\(320\) | −23.5955 | − | 7.27824i | −1.31903 | − | 0.406866i | ||||
\(321\) | −7.10360 | − | 10.7298i | −0.396484 | − | 0.598881i | ||||
\(322\) | −3.22801 | − | 2.28713i | −0.179890 | − | 0.127457i | ||||
\(323\) | −9.76478 | − | 2.22875i | −0.543327 | − | 0.124011i | ||||
\(324\) | −26.5322 | − | 20.2882i | −1.47401 | − | 1.12712i | ||||
\(325\) | −0.109587 | − | 0.0632699i | −0.00607877 | − | 0.00350958i | ||||
\(326\) | −4.55983 | − | 14.7826i | −0.252546 | − | 0.818733i | ||||
\(327\) | −6.20816 | + | 25.5898i | −0.343312 | + | 1.41512i | ||||
\(328\) | −27.7063 | − | 10.8739i | −1.52983 | − | 0.600413i | ||||
\(329\) | −6.29187 | − | 2.06570i | −0.346882 | − | 0.113886i | ||||
\(330\) | 36.4593 | − | 32.9176i | 2.00702 | − | 1.81206i | ||||
\(331\) | −3.85303 | + | 16.8812i | −0.211782 | + | 0.927876i | 0.751574 | + | 0.659649i | \(0.229295\pi\) |
−0.963356 | + | 0.268227i | \(0.913562\pi\) | |||||||
\(332\) | 20.4868 | + | 52.1995i | 1.12436 | + | 2.86482i | ||||
\(333\) | −10.2543 | − | 13.6018i | −0.561934 | − | 0.745376i | ||||
\(334\) | 26.5921 | + | 10.4366i | 1.45505 | + | 0.571067i | ||||
\(335\) | −22.9064 | + | 15.6174i | −1.25151 | + | 0.853267i | ||||
\(336\) | −2.06326 | − | 10.5704i | −0.112560 | − | 0.576664i | ||||
\(337\) | 16.8928 | + | 11.5173i | 0.920212 | + | 0.627390i | 0.928000 | − | 0.372580i | \(-0.121527\pi\) |
−0.00778822 | + | 0.999970i | \(0.502479\pi\) | |||||||
\(338\) | −16.9886 | − | 24.9177i | −0.924060 | − | 1.35535i | ||||
\(339\) | −0.763818 | − | 1.15373i | −0.0414849 | − | 0.0626621i | ||||
\(340\) | 1.20838 | + | 16.1247i | 0.0655335 | + | 0.874484i | ||||
\(341\) | −24.1605 | − | 3.64161i | −1.30837 | − | 0.197204i | ||||
\(342\) | −7.36633 | − | 36.8712i | −0.398326 | − | 1.99377i | ||||
\(343\) | 16.2274 | + | 8.92583i | 0.876199 | + | 0.481949i | ||||
\(344\) | −21.1827 | − | 12.2298i | −1.14209 | − | 0.659387i | ||||
\(345\) | −0.760860 | + | 2.35253i | −0.0409634 | + | 0.126656i | ||||
\(346\) | 11.3968 | − | 23.6657i | 0.612695 | − | 1.27227i | ||||
\(347\) | 33.6924 | − | 7.69006i | 1.80870 | − | 0.412824i | 0.821226 | − | 0.570602i | \(-0.193290\pi\) |
0.987475 | + | 0.157778i | \(0.0504331\pi\) | |||||||
\(348\) | −20.4184 | − | 43.9178i | −1.09454 | − | 2.35424i | ||||
\(349\) | −25.0083 | − | 1.87411i | −1.33866 | − | 0.100319i | −0.613936 | − | 0.789356i | \(-0.710415\pi\) |
−0.724726 | + | 0.689037i | \(0.758034\pi\) | |||||||
\(350\) | 0.999346 | + | 0.826857i | 0.0534173 | + | 0.0441973i | ||||
\(351\) | −2.93337 | − | 1.29176i | −0.156572 | − | 0.0689492i | ||||
\(352\) | 4.86861 | − | 12.4050i | 0.259498 | − | 0.661190i | ||||
\(353\) | −27.1358 | − | 18.5009i | −1.44429 | − | 0.984703i | −0.995861 | − | 0.0908857i | \(-0.971030\pi\) |
−0.448432 | − | 0.893817i | \(-0.648017\pi\) | |||||||
\(354\) | 34.9482 | + | 38.7084i | 1.85748 | + | 2.05733i | ||||
\(355\) | 4.21828 | − | 4.54622i | 0.223883 | − | 0.241288i | ||||
\(356\) | 26.3049 | + | 3.96482i | 1.39416 | + | 0.210135i | ||||
\(357\) | 7.38335 | − | 4.69889i | 0.390768 | − | 0.248691i | ||||
\(358\) | 11.4152 | − | 1.72057i | 0.603313 | − | 0.0909348i | ||||
\(359\) | 6.56260 | − | 9.62556i | 0.346361 | − | 0.508018i | −0.613045 | − | 0.790048i | \(-0.710056\pi\) |
0.959405 | + | 0.282030i | \(0.0910079\pi\) | |||||||
\(360\) | −24.6105 | + | 13.3296i | −1.29709 | + | 0.702532i | ||||
\(361\) | 4.25240 | − | 7.36537i | 0.223810 | − | 0.387651i | ||||
\(362\) | −30.5315 | −1.60470 | ||||||||
\(363\) | 17.0412 | + | 21.9757i | 0.894429 | + | 1.15343i | ||||
\(364\) | −2.52907 | − | 5.50328i | −0.132559 | − | 0.288450i | ||||
\(365\) | 10.6663 | + | 11.4955i | 0.558298 | + | 0.601702i | ||||
\(366\) | 0.0262476 | + | 0.428384i | 0.00137198 | + | 0.0223920i | ||||
\(367\) | 1.98206 | + | 0.777900i | 0.103463 | + | 0.0406060i | 0.416508 | − | 0.909132i | \(-0.363254\pi\) |
−0.313045 | + | 0.949738i | \(0.601349\pi\) | |||||||
\(368\) | −0.219166 | − | 1.45407i | −0.0114248 | − | 0.0757987i | ||||
\(369\) | 19.9238 | − | 8.93541i | 1.03719 | − | 0.465159i | ||||
\(370\) | −30.1820 | + | 6.88884i | −1.56909 | + | 0.358134i | ||||
\(371\) | 15.2492 | − | 0.866682i | 0.791701 | − | 0.0449959i | ||||
\(372\) | 27.9543 | + | 11.4125i | 1.44936 | + | 0.591712i | ||||
\(373\) | 2.34351 | − | 4.05908i | 0.121342 | − | 0.210171i | −0.798955 | − | 0.601391i | \(-0.794613\pi\) |
0.920297 | + | 0.391220i | \(0.127947\pi\) | |||||||
\(374\) | −23.7396 | −1.22755 | ||||||||
\(375\) | −7.16163 | + | 17.5420i | −0.369825 | + | 0.905863i | ||||
\(376\) | −4.44093 | − | 9.22170i | −0.229024 | − | 0.475573i | ||||
\(377\) | −2.89783 | − | 3.63376i | −0.149246 | − | 0.187148i | ||||
\(378\) | 27.4373 | + | 18.0719i | 1.41122 | + | 0.929520i | ||||
\(379\) | 5.42380 | − | 6.80123i | 0.278602 | − | 0.349356i | −0.622767 | − | 0.782407i | \(-0.713992\pi\) |
0.901369 | + | 0.433051i | \(0.142563\pi\) | |||||||
\(380\) | −43.2911 | − | 9.88090i | −2.22079 | − | 0.506880i | ||||
\(381\) | 14.3754 | − | 12.9789i | 0.736472 | − | 0.664931i | ||||
\(382\) | 15.4947 | − | 7.46185i | 0.792778 | − | 0.381782i | ||||
\(383\) | −6.07330 | + | 0.915403i | −0.310331 | + | 0.0467749i | −0.302362 | − | 0.953193i | \(-0.597775\pi\) |
−0.00796978 | + | 0.999968i | \(0.502537\pi\) | |||||||
\(384\) | −20.6388 | + | 29.4039i | −1.05322 | + | 1.50051i | ||||
\(385\) | −21.7670 | + | 22.6272i | −1.10935 | + | 1.15319i | ||||
\(386\) | 27.2130 | + | 56.5084i | 1.38511 | + | 2.87620i | ||||
\(387\) | 17.2847 | − | 4.82073i | 0.878633 | − | 0.245051i | ||||
\(388\) | −12.9879 | + | 42.1056i | −0.659359 | + | 2.13759i | ||||
\(389\) | 19.3479 | − | 1.44992i | 0.980976 | − | 0.0735140i | 0.425423 | − | 0.904995i | \(-0.360125\pi\) |
0.555553 | + | 0.831481i | \(0.312506\pi\) | |||||||
\(390\) | −4.32369 | + | 3.90369i | −0.218939 | + | 0.197671i | ||||
\(391\) | 1.03485 | − | 0.597471i | 0.0523346 | − | 0.0302154i | ||||
\(392\) | 7.44584 | + | 27.6393i | 0.376072 | + | 1.39599i | ||||
\(393\) | −15.4177 | + | 18.8026i | −0.777720 | + | 0.948466i | ||||
\(394\) | 21.2121 | − | 26.5992i | 1.06865 | − | 1.34005i | ||||
\(395\) | −25.1766 | + | 17.1651i | −1.26677 | + | 0.863671i | ||||
\(396\) | −23.6974 | − | 52.8395i | −1.19084 | − | 2.65528i | ||||
\(397\) | 3.83629 | − | 0.287490i | 0.192538 | − | 0.0144287i | 0.0218879 | − | 0.999760i | \(-0.493032\pi\) |
0.170650 | + | 0.985332i | \(0.445413\pi\) | |||||||
\(398\) | −1.73135 | + | 23.1033i | −0.0867848 | + | 1.15806i | ||||
\(399\) | 6.35409 | + | 23.1781i | 0.318102 | + | 1.16036i | ||||
\(400\) | 0.0360289 | + | 0.480772i | 0.00180145 | + | 0.0240386i | ||||
\(401\) | 4.22550 | + | 28.0344i | 0.211012 | + | 1.39997i | 0.803938 | + | 0.594714i | \(0.202735\pi\) |
−0.592926 | + | 0.805257i | \(0.702027\pi\) | |||||||
\(402\) | 14.1706 | + | 48.2614i | 0.706763 | + | 2.40706i | ||||
\(403\) | 2.86519 | + | 0.431857i | 0.142725 | + | 0.0215123i | ||||
\(404\) | −3.05931 | + | 0.943672i | −0.152206 | + | 0.0469494i | ||||
\(405\) | 5.65120 | − | 19.7403i | 0.280811 | − | 0.980905i | ||||
\(406\) | 23.0728 | + | 41.6808i | 1.14509 | + | 2.06858i | ||||
\(407\) | −4.40185 | − | 29.2044i | −0.218192 | − | 1.44761i | ||||
\(408\) | 13.1453 | + | 3.18908i | 0.650789 | + | 0.157883i | ||||
\(409\) | 17.9278 | + | 4.09191i | 0.886473 | + | 0.202332i | 0.641431 | − | 0.767181i | \(-0.278341\pi\) |
0.245042 | + | 0.969512i | \(0.421198\pi\) | |||||||
\(410\) | − | 39.6847i | − | 1.95989i | ||||||
\(411\) | 16.8431 | − | 6.34736i | 0.830808 | − | 0.313092i | ||||
\(412\) | −44.2467 | + | 47.6865i | −2.17988 | + | 2.34935i | ||||
\(413\) | −24.0230 | − | 23.1098i | −1.18209 | − | 1.13716i | ||||
\(414\) | 3.63624 | + | 2.62686i | 0.178712 | + | 0.129103i | ||||
\(415\) | −25.2709 | + | 23.4480i | −1.24050 | + | 1.15102i | ||||
\(416\) | −0.577366 | + | 1.47110i | −0.0283077 | + | 0.0721269i | ||||
\(417\) | 4.98503 | + | 2.96926i | 0.244118 | + | 0.145405i | ||||
\(418\) | 19.2156 | − | 62.2954i | 0.939866 | − | 3.04697i | ||||
\(419\) | 14.1920 | − | 13.1682i | 0.693324 | − | 0.643311i | −0.252648 | − | 0.967558i | \(-0.581302\pi\) |
0.945972 | + | 0.324248i | \(0.105111\pi\) | |||||||
\(420\) | 32.7332 | − | 20.8320i | 1.59722 | − | 1.01650i | ||||
\(421\) | −18.8589 | − | 17.4985i | −0.919125 | − | 0.852824i | 0.0703504 | − | 0.997522i | \(-0.477588\pi\) |
−0.989476 | + | 0.144699i | \(0.953779\pi\) | |||||||
\(422\) | 30.8930 | − | 17.8361i | 1.50385 | − | 0.868246i | ||||
\(423\) | 7.11249 | + | 2.40771i | 0.345821 | + | 0.117067i | ||||
\(424\) | 17.3052 | + | 16.0569i | 0.840414 | + | 0.779790i | ||||
\(425\) | −0.352979 | + | 0.169986i | −0.0171220 | + | 0.00824551i | ||||
\(426\) | −5.49280 | − | 9.81996i | −0.266127 | − | 0.475778i | ||||
\(427\) | −0.0359905 | − | 0.271960i | −0.00174170 | − | 0.0131610i | ||||
\(428\) | −4.10934 | + | 27.2637i | −0.198632 | + | 1.31784i | ||||
\(429\) | −3.40547 | − | 4.39159i | −0.164418 | − | 0.212028i | ||||
\(430\) | 4.86065 | − | 32.2483i | 0.234401 | − | 1.55515i | ||||
\(431\) | 19.6353 | + | 1.47146i | 0.945797 | + | 0.0708777i | 0.538691 | − | 0.842503i | \(-0.318919\pi\) |
0.407106 | + | 0.913381i | \(0.366538\pi\) | |||||||
\(432\) | 2.22935 | + | 12.0067i | 0.107259 | + | 0.577674i | ||||
\(433\) | −2.53480 | + | 5.26356i | −0.121814 | + | 0.252950i | −0.952955 | − | 0.303112i | \(-0.901974\pi\) |
0.831140 | + | 0.556063i | \(0.187689\pi\) | |||||||
\(434\) | −28.2188 | − | 9.26459i | −1.35454 | − | 0.444715i | ||||
\(435\) | 20.5469 | − | 21.5488i | 0.985150 | − | 1.03319i | ||||
\(436\) | 46.6161 | − | 31.7823i | 2.23251 | − | 1.52210i | ||||
\(437\) | 0.730190 | + | 3.19917i | 0.0349297 | + | 0.153037i | ||||
\(438\) | 25.7991 | − | 11.9946i | 1.23273 | − | 0.573123i | ||||
\(439\) | −1.75007 | − | 1.39564i | −0.0835263 | − | 0.0666100i | 0.580836 | − | 0.814020i | \(-0.302726\pi\) |
−0.664363 | + | 0.747410i | \(0.731297\pi\) | |||||||
\(440\) | −48.5273 | −2.31345 | ||||||||
\(441\) | −18.3065 | − | 10.2895i | −0.871736 | − | 0.489976i | ||||
\(442\) | 2.81527 | 0.133909 | ||||||||
\(443\) | 15.3251 | + | 12.2213i | 0.728116 | + | 0.580653i | 0.915828 | − | 0.401571i | \(-0.131536\pi\) |
−0.187712 | + | 0.982224i | \(0.560107\pi\) | |||||||
\(444\) | −3.22237 | + | 36.3551i | −0.152927 | + | 1.72534i | ||||
\(445\) | 3.63912 | + | 15.9440i | 0.172511 | + | 0.755819i | ||||
\(446\) | −22.1503 | + | 15.1018i | −1.04885 | + | 0.715091i | ||||
\(447\) | −32.4769 | − | 7.87898i | −1.53610 | − | 0.372663i | ||||
\(448\) | 14.7622 | − | 24.5366i | 0.697449 | − | 1.15924i | ||||
\(449\) | −4.07501 | + | 8.46185i | −0.192312 | + | 0.399339i | −0.974721 | − | 0.223425i | \(-0.928276\pi\) |
0.782409 | + | 0.622764i | \(0.213990\pi\) | |||||||
\(450\) | −1.12449 | − | 0.947934i | −0.0530092 | − | 0.0446861i | ||||
\(451\) | 37.7535 | + | 2.82924i | 1.77774 | + | 0.133224i | ||||
\(452\) | −0.441859 | + | 2.93154i | −0.0207833 | + | 0.137888i | ||||
\(453\) | −15.9060 | + | 2.17656i | −0.747329 | + | 0.102264i | ||||
\(454\) | −5.85822 | + | 38.8667i | −0.274940 | + | 1.82411i | ||||
\(455\) | 2.58134 | − | 2.68335i | 0.121015 | − | 0.125797i | ||||
\(456\) | −19.0087 | + | 31.9133i | −0.890164 | + | 1.49448i | ||||
\(457\) | 14.7219 | − | 7.08970i | 0.688662 | − | 0.331642i | −0.0566159 | − | 0.998396i | \(-0.518031\pi\) |
0.745278 | + | 0.666754i | \(0.232317\pi\) | |||||||
\(458\) | 30.7219 | + | 28.5057i | 1.43554 | + | 1.33198i | ||||
\(459\) | −8.42051 | + | 5.25093i | −0.393036 | + | 0.245092i | ||||
\(460\) | 4.58789 | − | 2.64882i | 0.213912 | − | 0.123502i | ||||
\(461\) | −17.8625 | − | 16.5740i | −0.831941 | − | 0.771928i | 0.144089 | − | 0.989565i | \(-0.453975\pi\) |
−0.976030 | + | 0.217636i | \(0.930165\pi\) | |||||||
\(462\) | 26.9074 | + | 50.2081i | 1.25185 | + | 2.33589i | ||||
\(463\) | −11.5118 | + | 10.6814i | −0.535001 | + | 0.496408i | −0.900769 | − | 0.434298i | \(-0.856997\pi\) |
0.365769 | + | 0.930706i | \(0.380806\pi\) | |||||||
\(464\) | −5.21955 | + | 16.9214i | −0.242312 | + | 0.785555i | ||||
\(465\) | −0.252536 | + | 18.5607i | −0.0117111 | + | 0.860730i | ||||
\(466\) | −17.8853 | + | 45.5709i | −0.828519 | + | 2.11103i | ||||
\(467\) | 24.4592 | − | 22.6948i | 1.13184 | − | 1.05019i | 0.133586 | − | 0.991037i | \(-0.457351\pi\) |
0.998249 | − | 0.0591522i | \(-0.0188397\pi\) | |||||||
\(468\) | 2.81027 | + | 6.26621i | 0.129905 | + | 0.289656i | ||||
\(469\) | −11.2044 | − | 30.1347i | −0.517373 | − | 1.39149i | ||||
\(470\) | 9.28229 | − | 10.0039i | 0.428160 | − | 0.461447i | ||||
\(471\) | 4.93206 | − | 29.9513i | 0.227257 | − | 1.38008i | ||||
\(472\) | − | 51.5208i | − | 2.37144i | ||||||
\(473\) | 30.3325 | + | 6.92319i | 1.39469 | + | 0.318329i | ||||
\(474\) | 15.5749 | + | 53.0444i | 0.715380 | + | 2.43641i | ||||
\(475\) | −0.160349 | − | 1.06385i | −0.00735732 | − | 0.0488126i | ||||
\(476\) | −18.4889 | − | 3.12857i | −0.847435 | − | 0.143398i | ||||
\(477\) | −17.2993 | + | 0.823889i | −0.792081 | + | 0.0377233i | ||||
\(478\) | 61.4247 | − | 18.9470i | 2.80950 | − | 0.866617i | ||||
\(479\) | −38.0150 | − | 5.72984i | −1.73695 | − | 0.261803i | −0.797213 | − | 0.603698i | \(-0.793693\pi\) |
−0.939738 | + | 0.341895i | \(0.888931\pi\) | |||||||
\(480\) | −9.83869 | − | 2.38689i | −0.449073 | − | 0.108946i | ||||
\(481\) | 0.522014 | + | 3.46333i | 0.0238018 | + | 0.157914i | ||||
\(482\) | 3.05093 | + | 40.7119i | 0.138966 | + | 1.85437i | ||||
\(483\) | −2.43656 | − | 1.51146i | −0.110867 | − | 0.0687737i | ||||
\(484\) | 4.45271 | − | 59.4172i | 0.202396 | − | 2.70078i | ||||
\(485\) | −27.0129 | + | 2.02434i | −1.22659 | + | 0.0919204i | ||||
\(486\) | −30.9215 | − | 20.7765i | −1.40263 | − | 0.942441i | ||||
\(487\) | 15.4696 | − | 10.5470i | 0.700995 | − | 0.477930i | −0.159625 | − | 0.987178i | \(-0.551029\pi\) |
0.860620 | + | 0.509248i | \(0.170076\pi\) | |||||||
\(488\) | 0.264361 | − | 0.331498i | 0.0119670 | − | 0.0150062i | ||||
\(489\) | −3.95387 | − | 10.4918i | −0.178800 | − | 0.474456i | ||||
\(490\) | −30.6776 | + | 22.7050i | −1.38587 | + | 1.02571i | ||||
\(491\) | −12.8248 | + | 7.40437i | −0.578773 | + | 0.334155i | −0.760646 | − | 0.649167i | \(-0.775117\pi\) |
0.181873 | + | 0.983322i | \(0.441784\pi\) | |||||||
\(492\) | −44.5153 | − | 14.3972i | −2.00690 | − | 0.649078i | ||||
\(493\) | −14.3496 | + | 1.07535i | −0.646272 | + | 0.0484314i | ||||
\(494\) | −2.27877 | + | 7.38759i | −0.102527 | + | 0.332383i | ||||
\(495\) | 24.9161 | − | 25.4291i | 1.11989 | − | 1.14295i | ||||
\(496\) | −4.78997 | − | 9.94648i | −0.215076 | − | 0.446610i | ||||
\(497\) | 3.94362 | + | 6.01436i | 0.176895 | + | 0.269781i | ||||
\(498\) | 26.3680 | + | 56.7149i | 1.18158 | + | 2.54146i | ||||
\(499\) | −3.39045 | + | 0.511029i | −0.151778 | + | 0.0228768i | −0.224491 | − | 0.974476i | \(-0.572072\pi\) |
0.0727139 | + | 0.997353i | \(0.476834\pi\) | |||||||
\(500\) | 36.5769 | − | 17.6145i | 1.63577 | − | 0.787745i | ||||
\(501\) | 19.6997 | + | 6.37131i | 0.880116 | + | 0.284649i | ||||
\(502\) | −12.9806 | − | 2.96273i | −0.579351 | − | 0.132233i | ||||
\(503\) | 7.17705 | − | 8.99973i | 0.320009 | − | 0.401278i | −0.595644 | − | 0.803249i | \(-0.703103\pi\) |
0.915653 | + | 0.401970i | \(0.131675\pi\) | |||||||
\(504\) | −8.15462 | − | 31.4162i | −0.363235 | − | 1.39939i | ||||
\(505\) | −1.22716 | − | 1.53881i | −0.0546078 | − | 0.0684760i | ||||
\(506\) | 3.37460 | + | 7.00743i | 0.150019 | + | 0.311518i | ||||
\(507\) | −13.3943 | − | 17.2728i | −0.594860 | − | 0.767112i | ||||
\(508\) | −41.4974 | −1.84115 | ||||||||
\(509\) | −5.94460 | + | 10.2963i | −0.263490 | + | 0.456377i | −0.967167 | − | 0.254142i | \(-0.918207\pi\) |
0.703677 | + | 0.710520i | \(0.251540\pi\) | |||||||
\(510\) | 2.44515 | + | 17.8688i | 0.108273 | + | 0.791243i | ||||
\(511\) | −15.9105 | + | 8.80740i | −0.703838 | + | 0.389617i | ||||
\(512\) | 24.6092 | − | 5.61690i | 1.08759 | − | 0.248234i | ||||
\(513\) | −6.96319 | − | 26.3466i | −0.307432 | − | 1.16323i | ||||
\(514\) | −2.65673 | − | 17.6263i | −0.117184 | − | 0.777462i | ||||
\(515\) | −37.2274 | − | 14.6107i | −1.64044 | − | 0.643824i | ||||
\(516\) | −34.4103 | − | 17.1517i | −1.51483 | − | 0.755061i | ||||
\(517\) | 8.85535 | + | 9.54380i | 0.389458 | + | 0.419736i | ||||
\(518\) | 0.647135 | − | 35.8953i | 0.0284335 | − | 1.57715i | ||||
\(519\) | 7.19562 | − | 17.6252i | 0.315853 | − | 0.773661i | ||||
\(520\) | 5.75483 | 0.252366 | ||||||||
\(521\) | −12.6917 | + | 21.9826i | −0.556032 | + | 0.963075i | 0.441791 | + | 0.897118i | \(0.354343\pi\) |
−0.997822 | + | 0.0659572i | \(0.978990\pi\) | |||||||
\(522\) | −25.7270 | − | 47.4999i | −1.12604 | − | 2.07901i | ||||
\(523\) | −14.7381 | + | 21.6169i | −0.644454 | + | 0.945240i | 0.355490 | + | 0.934680i | \(0.384314\pi\) |
−0.999944 | + | 0.0105602i | \(0.996639\pi\) | |||||||
\(524\) | 51.5169 | − | 7.76492i | 2.25053 | − | 0.339212i | ||||
\(525\) | 0.759590 | + | 0.553863i | 0.0331512 | + | 0.0241726i | ||||
\(526\) | −16.9158 | − | 2.54965i | −0.737565 | − | 0.111170i | ||||
\(527\) | 6.10186 | − | 6.57624i | 0.265801 | − | 0.286465i | ||||
\(528\) | −6.51566 | + | 20.1460i | −0.283557 | + | 0.876740i | ||||
\(529\) | 18.6800 | + | 12.7358i | 0.812175 | + | 0.553732i | ||||
\(530\) | −11.4994 | + | 29.3000i | −0.499502 | + | 1.27271i | ||||
\(531\) | 26.9977 | + | 26.4531i | 1.17160 | + | 1.14797i | ||||
\(532\) | 23.1752 | − | 45.9844i | 1.00477 | − | 1.99368i | ||||
\(533\) | −4.47717 | − | 0.335518i | −0.193928 | − | 0.0145329i | ||||
\(534\) | 29.5550 | + | 2.61964i | 1.27897 | + | 0.113363i | ||||
\(535\) | −16.5252 | + | 3.77176i | −0.714445 | + | 0.163067i | ||||
\(536\) | 21.5601 | − | 44.7701i | 0.931256 | − | 1.93377i | ||||
\(537\) | 8.18165 | − | 1.75065i | 0.353064 | − | 0.0755462i | ||||
\(538\) | −27.2714 | − | 15.7451i | −1.17575 | − | 0.678821i | ||||
\(539\) | −19.4130 | − | 30.8035i | −0.836178 | − | 1.32680i | ||||
\(540\) | −37.3314 | + | 23.2794i | −1.60649 | + | 1.00179i | ||||
\(541\) | −29.6823 | − | 4.47388i | −1.27614 | − | 0.192347i | −0.524209 | − | 0.851589i | \(-0.675639\pi\) |
−0.751931 | + | 0.659242i | \(0.770877\pi\) | |||||||
\(542\) | 1.20427 | + | 16.0699i | 0.0517280 | + | 0.690262i | ||||
\(543\) | −22.0869 | + | 1.35329i | −0.947838 | + | 0.0580752i | ||||
\(544\) | 2.75626 | + | 4.04269i | 0.118174 | + | 0.173329i | ||||
\(545\) | 28.6581 | + | 19.5387i | 1.22758 | + | 0.836947i | ||||
\(546\) | −3.19094 | − | 5.95415i | −0.136559 | − | 0.254814i | ||||
\(547\) | 21.3645 | − | 14.5660i | 0.913478 | − | 0.622799i | −0.0126860 | − | 0.999920i | \(-0.504038\pi\) |
0.926164 | + | 0.377121i | \(0.123086\pi\) | |||||||
\(548\) | −35.8999 | − | 14.0897i | −1.53357 | − | 0.601881i | ||||
\(549\) | 0.0379757 | + | 0.308735i | 0.00162076 | + | 0.0131765i | ||||
\(550\) | −0.931622 | − | 2.37373i | −0.0397245 | − | 0.101216i | ||||
\(551\) | 8.79314 | − | 38.5253i | 0.374601 | − | 1.64123i | ||||
\(552\) | −0.927260 | − | 4.33354i | −0.0394668 | − | 0.184448i | ||||
\(553\) | −12.3149 | − | 33.1212i | −0.523682 | − | 1.40846i | ||||
\(554\) | −43.2733 | − | 16.9835i | −1.83851 | − | 0.721560i | ||||
\(555\) | −21.5287 | + | 6.32128i | −0.913842 | + | 0.268323i | ||||
\(556\) | −3.66445 | − | 11.8798i | −0.155407 | − | 0.503817i | ||||
\(557\) | −18.4058 | − | 10.6266i | −0.779879 | − | 0.450263i | 0.0565085 | − | 0.998402i | \(-0.482003\pi\) |
−0.836387 | + | 0.548139i | \(0.815337\pi\) | |||||||
\(558\) | 31.8992 | + | 10.7985i | 1.35040 | + | 0.457136i | ||||
\(559\) | −3.59711 | − | 0.821018i | −0.152142 | − | 0.0347253i | ||||
\(560\) | −13.9874 | − | 2.36687i | −0.591076 | − | 0.100018i | ||||
\(561\) | −17.1736 | + | 1.05224i | −0.725068 | + | 0.0444258i | ||||
\(562\) | −44.7144 | − | 13.7926i | −1.88616 | − | 0.581805i | ||||
\(563\) | −16.5225 | − | 20.7186i | −0.696342 | − | 0.873185i | 0.300402 | − | 0.953813i | \(-0.402879\pi\) |
−0.996744 | + | 0.0806272i | \(0.974308\pi\) | |||||||
\(564\) | −7.85412 | − | 14.0415i | −0.330718 | − | 0.591254i | ||||
\(565\) | −1.77688 | + | 0.405561i | −0.0747538 | + | 0.0170621i | ||||
\(566\) | 5.74149 | + | 25.1551i | 0.241333 | + | 1.05735i | ||||
\(567\) | 20.6495 | + | 11.8573i | 0.867199 | + | 0.497961i | ||||
\(568\) | −2.47350 | + | 10.8371i | −0.103786 | + | 0.454716i | ||||
\(569\) | − | 8.01207i | − | 0.335884i | −0.985797 | − | 0.167942i | \(-0.946288\pi\) | ||
0.985797 | − | 0.167942i | \(-0.0537121\pi\) | |||||||
\(570\) | −48.8688 | − | 8.04720i | −2.04689 | − | 0.337060i | ||||
\(571\) | 1.14536 | − | 5.01813i | 0.0479316 | − | 0.210002i | −0.945291 | − | 0.326228i | \(-0.894222\pi\) |
0.993223 | + | 0.116225i | \(0.0370795\pi\) | |||||||
\(572\) | −0.889820 | + | 11.8738i | −0.0372053 | + | 0.496470i | ||||
\(573\) | 10.8783 | − | 6.08479i | 0.454448 | − | 0.254196i | ||||
\(574\) | 44.6753 | + | 11.0477i | 1.86471 | + | 0.461123i | ||||
\(575\) | 0.100352 | + | 0.0800282i | 0.00418498 | + | 0.00333741i | ||||
\(576\) | −16.9936 | + | 27.6670i | −0.708065 | + | 1.15279i | ||||
\(577\) | −12.0713 | + | 4.73762i | −0.502533 | + | 0.197230i | −0.603047 | − | 0.797706i | \(-0.706047\pi\) |
0.100513 | + | 0.994936i | \(0.467952\pi\) | |||||||
\(578\) | −17.9757 | + | 26.3655i | −0.747689 | + | 1.09666i | ||||
\(579\) | 22.1909 | + | 39.6727i | 0.922224 | + | 1.64874i | ||||
\(580\) | −63.6172 | + | 4.76745i | −2.64156 | + | 0.197958i | ||||
\(581\) | −19.3616 | − | 34.9765i | −0.803254 | − | 1.45107i | ||||
\(582\) | −11.5870 | + | 47.7610i | −0.480295 | + | 1.97976i | ||||
\(583\) | −27.0543 | − | 13.0287i | −1.12048 | − | 0.539593i | ||||
\(584\) | −26.8586 | − | 8.28477i | −1.11142 | − | 0.342826i | ||||
\(585\) | −2.95478 | + | 3.01562i | −0.122165 | + | 0.124681i | ||||
\(586\) | 6.10029 | − | 40.4728i | 0.252001 | − | 1.67192i | ||||
\(587\) | 10.5278 | − | 18.2346i | 0.434527 | − | 0.752624i | −0.562730 | − | 0.826641i | \(-0.690249\pi\) |
0.997257 | + | 0.0740175i | \(0.0235821\pi\) | |||||||
\(588\) | 14.3392 | + | 42.6490i | 0.591338 | + | 1.75881i | ||||
\(589\) | 12.3177 | + | 21.3350i | 0.507544 | + | 0.879091i | ||||
\(590\) | 63.9453 | − | 25.0967i | 2.63258 | − | 1.03321i | ||||
\(591\) | 14.1661 | − | 20.1824i | 0.582717 | − | 0.830193i | ||||
\(592\) | 9.78218 | − | 9.07654i | 0.402045 | − | 0.373044i | ||||
\(593\) | −0.231356 | − | 3.08723i | −0.00950063 | − | 0.126777i | 0.990437 | − | 0.137968i | \(-0.0440570\pi\) |
−0.999937 | + | 0.0111904i | \(0.996438\pi\) | |||||||
\(594\) | −29.9860 | − | 57.2084i | −1.23034 | − | 2.34729i | ||||
\(595\) | −2.36220 | − | 11.2833i | −0.0968408 | − | 0.462571i | ||||
\(596\) | 40.3360 | + | 59.1620i | 1.65223 | + | 2.42337i | ||||
\(597\) | −0.228443 | + | 16.7899i | −0.00934956 | + | 0.687167i | ||||
\(598\) | −0.400192 | − | 0.831008i | −0.0163651 | − | 0.0339825i | ||||
\(599\) | 22.7681 | + | 18.1570i | 0.930279 | + | 0.741873i | 0.966284 | − | 0.257479i | \(-0.0828917\pi\) |
−0.0360047 | + | 0.999352i | \(0.511463\pi\) | |||||||
\(600\) | 0.196987 | + | 1.43955i | 0.00804196 | + | 0.0587694i | ||||
\(601\) | 2.02988 | − | 0.796669i | 0.0828005 | − | 0.0324968i | −0.323579 | − | 0.946201i | \(-0.604886\pi\) |
0.406380 | + | 0.913704i | \(0.366791\pi\) | |||||||
\(602\) | 34.9505 | + | 14.4494i | 1.42448 | + | 0.588914i | ||||
\(603\) | 12.3903 | + | 34.2848i | 0.504573 | + | 1.39619i | ||||
\(604\) | 28.4210 | + | 19.3771i | 1.15643 | + | 0.788444i | ||||
\(605\) | 35.0028 | − | 10.7969i | 1.42307 | − | 0.438958i | ||||
\(606\) | −3.34148 | + | 1.25925i | −0.135738 | + | 0.0511534i | ||||
\(607\) | 18.3324 | + | 10.5842i | 0.744088 | + | 0.429600i | 0.823554 | − | 0.567238i | \(-0.191988\pi\) |
−0.0794657 | + | 0.996838i | \(0.525321\pi\) | |||||||
\(608\) | −12.8395 | + | 3.96045i | −0.520709 | + | 0.160617i | ||||
\(609\) | 18.5387 | + | 29.1297i | 0.751224 | + | 1.18040i | ||||
\(610\) | 0.540214 | + | 0.166634i | 0.0218726 | + | 0.00674682i | ||||
\(611\) | −1.05015 | − | 1.13179i | −0.0424846 | − | 0.0457875i | ||||
\(612\) | 20.9309 | + | 3.73985i | 0.846083 | + | 0.151174i | ||||
\(613\) | −37.7894 | + | 5.69583i | −1.52630 | + | 0.230052i | −0.857926 | − | 0.513774i | \(-0.828247\pi\) |
−0.668373 | + | 0.743826i | \(0.733009\pi\) | |||||||
\(614\) | 3.22339 | + | 14.1226i | 0.130085 | + | 0.569941i | ||||
\(615\) | −1.75900 | − | 28.7084i | −0.0709297 | − | 1.15764i | ||||
\(616\) | 13.5094 | − | 54.6298i | 0.544308 | − | 2.20110i | ||||
\(617\) | −1.54879 | − | 5.02104i | −0.0623518 | − | 0.202140i | 0.919037 | − | 0.394172i | \(-0.128968\pi\) |
−0.981389 | + | 0.192032i | \(0.938492\pi\) | |||||||
\(618\) | −46.0059 | + | 56.1064i | −1.85063 | + | 2.25693i | ||||
\(619\) | 30.1560 | − | 17.4106i | 1.21207 | − | 0.699791i | 0.248863 | − | 0.968539i | \(-0.419943\pi\) |
0.963211 | + | 0.268748i | \(0.0866099\pi\) | |||||||
\(620\) | 27.0519 | − | 29.1550i | 1.08643 | − | 1.17089i | ||||
\(621\) | 2.74694 | + | 1.73913i | 0.110231 | + | 0.0697889i | ||||
\(622\) | 16.7906 | − | 13.3900i | 0.673241 | − | 0.536892i | ||||
\(623\) | −18.9621 | − | 0.341857i | −0.759702 | − | 0.0136962i | ||||
\(624\) | 0.772688 | − | 2.38910i | 0.0309323 | − | 0.0956405i | ||||
\(625\) | 19.0473 | + | 17.6734i | 0.761894 | + | 0.706934i | ||||
\(626\) | 25.7448 | − | 32.2830i | 1.02897 | − | 1.29029i | ||||
\(627\) | 11.1396 | − | 45.9170i | 0.444873 | − | 1.83375i | ||||
\(628\) | −50.8491 | + | 40.5508i | −2.02910 | + | 1.61815i | ||||
\(629\) | 9.76999 | + | 4.70498i | 0.389555 | + | 0.187600i | ||||
\(630\) | 35.0201 | − | 25.4245i | 1.39523 | − | 1.01294i | ||||
\(631\) | −4.39900 | + | 2.11845i | −0.175122 | + | 0.0843341i | −0.519391 | − | 0.854537i | \(-0.673841\pi\) |
0.344269 | + | 0.938871i | \(0.388127\pi\) | |||||||
\(632\) | 23.6969 | − | 49.2070i | 0.942610 | − | 1.95735i | ||||
\(633\) | 21.5578 | − | 14.2722i | 0.856846 | − | 0.567267i | ||||
\(634\) | −9.47303 | − | 4.56197i | −0.376222 | − | 0.181179i | ||||
\(635\) | −9.32030 | − | 23.7477i | −0.369865 | − | 0.942400i | ||||
\(636\) | 28.6946 | + | 23.5289i | 1.13782 | + | 0.932982i | ||||
\(637\) | 2.30218 | + | 3.65297i | 0.0912157 | + | 0.144736i | ||||
\(638\) | − | 93.6607i | − | 3.70806i | ||||||
\(639\) | −4.40882 | − | 6.86042i | −0.174410 | − | 0.271394i | ||||
\(640\) | 26.6562 | + | 39.0974i | 1.05368 | + | 1.54546i | ||||
\(641\) | 5.38282 | + | 5.80130i | 0.212609 | + | 0.229138i | 0.830348 | − | 0.557245i | \(-0.188142\pi\) |
−0.617739 | + | 0.786383i | \(0.711951\pi\) | |||||||
\(642\) | −2.71512 | + | 30.6323i | −0.107157 | + | 1.20896i | ||||
\(643\) | 18.0279 | − | 26.4421i | 0.710952 | − | 1.04278i | −0.285481 | − | 0.958384i | \(-0.592153\pi\) |
0.996433 | − | 0.0843908i | \(-0.0268944\pi\) | |||||||
\(644\) | 1.70471 | + | 5.90224i | 0.0671751 | + | 0.232581i | ||||
\(645\) | 2.08687 | − | 23.5443i | 0.0821704 | − | 0.927055i | ||||
\(646\) | 14.9238 | + | 18.7139i | 0.587170 | + | 0.736288i | ||||
\(647\) | −1.21356 | + | 16.1938i | −0.0477099 | + | 0.636644i | 0.921178 | + | 0.389142i | \(0.127229\pi\) |
−0.968887 | + | 0.247502i | \(0.920390\pi\) | |||||||
\(648\) | 8.91893 | + | 35.7060i | 0.350369 | + | 1.40267i | ||||
\(649\) | 19.3165 | + | 62.6227i | 0.758241 | + | 2.45816i | ||||
\(650\) | 0.110481 | + | 0.281500i | 0.00433341 | + | 0.0110413i | ||||
\(651\) | −20.8245 | − | 5.45135i | −0.816175 | − | 0.213655i | ||||
\(652\) | −8.77668 | + | 22.3626i | −0.343721 | + | 0.875788i | ||||
\(653\) | 10.2848 | + | 0.770737i | 0.402474 | + | 0.0301613i | 0.274430 | − | 0.961607i | \(-0.411511\pi\) |
0.128044 | + | 0.991768i | \(0.459130\pi\) | |||||||
\(654\) | 49.7286 | − | 38.5622i | 1.94454 | − | 1.50790i | ||||
\(655\) | 16.0143 | + | 27.7376i | 0.625731 | + | 1.08380i | ||||
\(656\) | 8.55301 | + | 14.8142i | 0.333939 | + | 0.578399i | ||||
\(657\) | 18.1317 | − | 9.82055i | 0.707386 | − | 0.383136i | ||||
\(658\) | 8.67791 | + | 13.2346i | 0.338300 | + | 0.515937i | ||||
\(659\) | −7.76847 | + | 25.1847i | −0.302616 | + | 0.981058i | 0.668753 | + | 0.743485i | \(0.266828\pi\) |
−0.971369 | + | 0.237574i | \(0.923648\pi\) | |||||||
\(660\) | −76.1371 | + | 4.66501i | −2.96363 | + | 0.181585i | ||||
\(661\) | 4.79058 | − | 3.82036i | 0.186332 | − | 0.148595i | −0.525881 | − | 0.850558i | \(-0.676264\pi\) |
0.712213 | + | 0.701963i | \(0.247693\pi\) | |||||||
\(662\) | 32.3523 | − | 25.8001i | 1.25741 | − | 1.00275i | ||||
\(663\) | 2.03660 | − | 0.124785i | 0.0790952 | − | 0.00484626i | ||||
\(664\) | 18.2127 | − | 59.0440i | 0.706788 | − | 2.29135i | ||||
\(665\) | 31.5207 | + | 2.93438i | 1.22232 | + | 0.113790i | ||||
\(666\) | −1.10754 | + | 40.6930i | −0.0429163 | + | 1.57682i | ||||
\(667\) | 2.35722 | + | 4.08282i | 0.0912719 | + | 0.158088i | ||||
\(668\) | −22.1807 | − | 38.4182i | −0.858199 | − | 1.48644i | ||||
\(669\) | −15.3544 | + | 11.9066i | −0.593636 | + | 0.460337i | ||||
\(670\) | 66.0689 | + | 4.95118i | 2.55246 | + | 0.191281i | ||||
\(671\) | −0.197039 | + | 0.502046i | −0.00760659 | + | 0.0193813i | ||||
\(672\) | 5.42603 | − | 10.4115i | 0.209314 | − | 0.401631i | ||||
\(673\) | 0.364579 | + | 0.928931i | 0.0140535 | + | 0.0358077i | 0.937728 | − | 0.347370i | \(-0.112925\pi\) |
−0.923675 | + | 0.383177i | \(0.874830\pi\) | |||||||
\(674\) | −14.4019 | − | 46.6898i | −0.554740 | − | 1.79842i | ||||
\(675\) | −0.855490 | − | 0.635905i | −0.0329278 | − | 0.0244760i | ||||
\(676\) | −3.49980 | + | 46.7016i | −0.134608 | + | 1.79621i | ||||
\(677\) | −1.18452 | − | 1.48535i | −0.0455249 | − | 0.0570865i | 0.758548 | − | 0.651617i | \(-0.225909\pi\) |
−0.804073 | + | 0.594531i | \(0.797338\pi\) | |||||||
\(678\) | −0.291945 | + | 3.29375i | −0.0112121 | + | 0.126496i | ||||
\(679\) | 5.24114 | − | 30.9735i | 0.201137 | − | 1.18865i | ||||
\(680\) | 10.0369 | − | 14.7214i | 0.384897 | − | 0.564541i | ||||
\(681\) | −2.51517 | + | 28.3764i | −0.0963814 | + | 1.08738i | ||||
\(682\) | 39.7159 | + | 42.8036i | 1.52080 | + | 1.63903i | ||||
\(683\) | −1.31320 | − | 1.92611i | −0.0502481 | − | 0.0737004i | 0.800293 | − | 0.599610i | \(-0.204678\pi\) |
−0.850541 | + | 0.525909i | \(0.823725\pi\) | |||||||
\(684\) | −26.7559 | + | 51.8979i | −1.02304 | + | 1.98437i | ||||
\(685\) | − | 23.7090i | − | 0.905875i | ||||||
\(686\) | −17.0200 | − | 40.8563i | −0.649827 | − | 1.55990i | ||||
\(687\) | 23.4881 | + | 19.2597i | 0.896126 | + | 0.734802i | ||||
\(688\) | 5.13581 | + | 13.0858i | 0.195801 | + | 0.498892i | ||||
\(689\) | 3.20836 | + | 1.54506i | 0.122229 | + | 0.0588623i | ||||
\(690\) | 4.92690 | − | 3.26181i | 0.187564 | − | 0.124175i | ||||
\(691\) | 0.0948732 | − | 0.197006i | 0.00360915 | − | 0.00749447i | −0.899157 | − | 0.437627i | \(-0.855819\pi\) |
0.902766 | + | 0.430133i | \(0.141533\pi\) | |||||||
\(692\) | −36.7505 | + | 17.6981i | −1.39705 | + | 0.672782i | ||||
\(693\) | 21.6906 | + | 35.1285i | 0.823958 | + | 1.33442i | ||||
\(694\) | −74.4097 | − | 35.8338i | −2.82455 | − | 1.36023i | ||||
\(695\) | 5.97545 | − | 4.76527i | 0.226662 | − | 0.180757i | ||||
\(696\) | −12.5820 | + | 51.8625i | −0.476919 | + | 1.96584i | ||||
\(697\) | −8.66685 | + | 10.8679i | −0.328280 | + | 0.411651i | ||||
\(698\) | 43.9334 | + | 40.7643i | 1.66290 | + | 1.54295i | ||||
\(699\) | −10.9185 | + | 33.7593i | −0.412977 | + | 1.27690i | ||||
\(700\) | −0.412737 | − | 1.97148i | −0.0156000 | − | 0.0745150i | ||||
\(701\) | 31.4744 | − | 25.1000i | 1.18877 | − | 0.948015i | 0.189348 | − | 0.981910i | \(-0.439363\pi\) |
0.999425 | + | 0.0338947i | \(0.0107911\pi\) | |||||||
\(702\) | 3.55603 | + | 6.78432i | 0.134214 | + | 0.256058i | ||||
\(703\) | −20.2545 | + | 21.8292i | −0.763914 | + | 0.823303i | ||||
\(704\) | −48.7536 | + | 28.1479i | −1.83747 | + | 1.06087i | ||||
\(705\) | 6.27151 | − | 7.64840i | 0.236199 | − | 0.288056i | ||||
\(706\) | 23.1345 | + | 75.0001i | 0.870677 | + | 2.82267i | ||||
\(707\) | 2.07394 | − | 0.953094i | 0.0779987 | − | 0.0358448i | ||||
\(708\) | −4.95278 | − | 80.8338i | −0.186137 | − | 3.03792i | ||||
\(709\) | 6.07496 | + | 26.6161i | 0.228150 | + | 0.999590i | 0.951147 | + | 0.308739i | \(0.0999068\pi\) |
−0.722997 | + | 0.690851i | \(0.757236\pi\) | |||||||
\(710\) | −14.6554 | + | 2.20895i | −0.550008 | + | 0.0829004i | ||||
\(711\) | 13.6183 | + | 37.6826i | 0.510725 | + | 1.41321i | ||||
\(712\) | −19.9375 | − | 21.4875i | −0.747189 | − | 0.805278i | ||||
\(713\) | −2.80855 | − | 0.866322i | −0.105181 | − | 0.0324440i | ||||
\(714\) | −20.7966 | − | 2.22180i | −0.778292 | − | 0.0831489i | ||||
\(715\) | −6.99490 | + | 2.15764i | −0.261594 | + | 0.0806912i | ||||
\(716\) | −15.5252 | − | 8.96348i | −0.580204 | − | 0.334981i | ||||
\(717\) | 43.5956 | − | 16.4291i | 1.62811 | − | 0.613557i | ||||
\(718\) | −26.6039 | + | 8.20621i | −0.992848 | + | 0.306253i | ||||
\(719\) | 19.2131 | + | 13.0992i | 0.716526 | + | 0.488519i | 0.865872 | − | 0.500266i | \(-0.166764\pi\) |
−0.149346 | + | 0.988785i | \(0.547717\pi\) | |||||||
\(720\) | 15.8349 | + | 2.82932i | 0.590133 | + | 0.105442i | ||||
\(721\) | 26.8117 | − | 37.8415i | 0.998520 | − | 1.40929i | ||||
\(722\) | −18.9197 | + | 7.42545i | −0.704120 | + | 0.276347i | ||||
\(723\) | 4.01161 | + | 29.3162i | 0.149193 | + | 1.09028i | ||||
\(724\) | 37.0685 | + | 29.5612i | 1.37764 | + | 1.09863i | ||||
\(725\) | −0.670649 | − | 1.39262i | −0.0249073 | − | 0.0517205i | ||||
\(726\) | 0.904135 | − | 66.4514i | 0.0335556 | − | 2.46624i | ||||
\(727\) | −23.2845 | − | 34.1522i | −0.863576 | − | 1.26663i | −0.962430 | − | 0.271531i | \(-0.912470\pi\) |
0.0988537 | − | 0.995102i | \(-0.468482\pi\) | |||||||
\(728\) | −1.60207 | + | 6.47852i | −0.0593767 | + | 0.240110i | ||||
\(729\) | −23.2899 | − | 13.6594i | −0.862590 | − | 0.505904i | ||||
\(730\) | −2.80059 | − | 37.3713i | −0.103654 | − | 1.38317i | ||||
\(731\) | −8.37391 | + | 7.76985i | −0.309720 | + | 0.287378i | ||||
\(732\) | 0.382902 | − | 0.545518i | 0.0141525 | − | 0.0201629i | ||||
\(733\) | −28.9659 | + | 11.3683i | −1.06988 | + | 0.419897i | −0.833932 | − | 0.551868i | \(-0.813915\pi\) |
−0.235950 | + | 0.971765i | \(0.575820\pi\) | |||||||
\(734\) | −2.54423 | − | 4.40673i | −0.0939092 | − | 0.162655i | ||||
\(735\) | −21.1862 | + | 17.7849i | −0.781464 | + | 0.656004i | ||||
\(736\) | 0.801512 | − | 1.38826i | 0.0295441 | − | 0.0511719i | ||||
\(737\) | −9.42048 | + | 62.5008i | −0.347008 | + | 2.30225i | ||||
\(738\) | −50.5398 | − | 12.9916i | −1.86040 | − | 0.478228i | ||||
\(739\) | −7.05135 | − | 2.17505i | −0.259388 | − | 0.0800107i | 0.162334 | − | 0.986736i | \(-0.448098\pi\) |
−0.421722 | + | 0.906725i | \(0.638574\pi\) | |||||||
\(740\) | 43.3142 | + | 20.8590i | 1.59226 | + | 0.766792i | ||||
\(741\) | −1.32104 | + | 5.44528i | −0.0485296 | + | 0.200037i | ||||
\(742\) | −29.7833 | − | 21.1022i | −1.09338 | − | 0.774688i | ||||
\(743\) | −11.6020 | + | 0.869446i | −0.425634 | + | 0.0318969i | −0.285826 | − | 0.958282i | \(-0.592268\pi\) |
−0.139809 | + | 0.990179i | \(0.544649\pi\) | |||||||
\(744\) | −16.2417 | − | 29.0368i | −0.595450 | − | 1.06454i | ||||
\(745\) | −24.7972 | + | 36.3709i | −0.908501 | + | 1.33253i | ||||
\(746\) | −10.4267 | + | 4.09219i | −0.381750 | + | 0.149826i | ||||
\(747\) | 21.5888 | + | 39.8595i | 0.789894 | + | 1.45838i | ||||
\(748\) | 28.8225 | + | 22.9852i | 1.05386 | + | 0.840422i | ||||
\(749\) | 0.354318 | − | 19.6533i | 0.0129465 | − | 0.718116i | ||||
\(750\) | 39.5187 | − | 22.1048i | 1.44302 | − | 0.807152i | ||||
\(751\) | 2.77419 | − | 37.0189i | 0.101231 | − | 1.35084i | −0.683021 | − | 0.730398i | \(-0.739334\pi\) |
0.784253 | − | 0.620441i | \(-0.213047\pi\) | |||||||
\(752\) | −1.30898 | + | 5.73501i | −0.0477335 | + | 0.209134i | ||||
\(753\) | −9.52163 | − | 1.56792i | −0.346988 | − | 0.0571382i | ||||
\(754\) | 11.1072i | 0.404500i | ||||||||
\(755\) | −4.70561 | + | 20.6166i | −0.171255 | + | 0.750315i | ||||
\(756\) | −15.8143 | − | 48.5067i | −0.575161 | − | 1.76417i | ||||
\(757\) | −8.45735 | − | 37.0541i | −0.307388 | − | 1.34675i | −0.858711 | − | 0.512461i | \(-0.828734\pi\) |
0.551323 | − | 0.834292i | \(-0.314123\pi\) | |||||||
\(758\) | −20.2679 | + | 4.62601i | −0.736162 | + | 0.168024i | ||||
\(759\) | 2.75183 | + | 4.91969i | 0.0998851 | + | 0.178573i | ||||
\(760\) | 30.5065 | + | 38.2539i | 1.10659 | + | 1.38761i | ||||
\(761\) | 6.74462 | + | 2.08044i | 0.244492 | + | 0.0754158i | 0.414579 | − | 0.910013i | \(-0.363929\pi\) |
−0.170087 | + | 0.985429i | \(0.554405\pi\) | |||||||
\(762\) | −46.1980 | + | 2.83060i | −1.67358 | + | 0.102542i | ||||
\(763\) | −29.9739 | + | 26.8226i | −1.08513 | + | 0.971044i | ||||
\(764\) | −26.0370 | − | 5.94277i | −0.941985 | − | 0.215002i | ||||
\(765\) | 2.56088 | + | 12.8181i | 0.0925886 | + | 0.463440i | ||||
\(766\) | 12.7114 | + | 7.33895i | 0.459283 | + | 0.265167i | ||||
\(767\) | −2.29074 | − | 7.42640i | −0.0827138 | − | 0.268152i | ||||
\(768\) | 46.4005 | − | 13.6242i | 1.67434 | − | 0.491620i | ||||
\(769\) | 20.8070 | + | 8.16614i | 0.750319 | + | 0.294478i | 0.709517 | − | 0.704689i | \(-0.248913\pi\) |
0.0408023 | + | 0.999167i | \(0.487009\pi\) | |||||||
\(770\) | 74.3847 | − | 9.84390i | 2.68064 | − | 0.354750i | ||||
\(771\) | −2.70319 | − | 12.6333i | −0.0973530 | − | 0.454978i | ||||
\(772\) | 21.6730 | − | 94.9556i | 0.780028 | − | 3.41753i | ||||
\(773\) | −5.57988 | − | 14.2173i | −0.200694 | − | 0.511361i | 0.794725 | − | 0.606970i | \(-0.207615\pi\) |
−0.995419 | + | 0.0956094i | \(0.969520\pi\) | |||||||
\(774\) | −39.4781 | − | 16.7474i | −1.41901 | − | 0.601971i | ||||
\(775\) | 0.897017 | + | 0.352053i | 0.0322218 | + | 0.0126461i | ||||
\(776\) | 40.1161 | − | 27.3507i | 1.44008 | − | 0.981832i | ||||
\(777\) | −1.12289 | − | 25.9958i | −0.0402835 | − | 0.932594i | ||||
\(778\) | −38.3103 | − | 26.1195i | −1.37349 | − | 0.936430i | ||||
\(779\) | −21.5033 | − | 31.5396i | −0.770437 | − | 1.13002i | ||||
\(780\) | 9.02906 | − | 0.553221i | 0.323292 | − | 0.0198085i | ||||
\(781\) | −1.05663 | − | 14.0997i | −0.0378092 | − | 0.504528i | ||||
\(782\) | −2.82377 | − | 0.425615i | −0.100978 | − | 0.0152200i | ||||
\(783\) | −20.7166 | − | 33.2217i | −0.740352 | − | 1.18725i | ||||
\(784\) | 6.55843 | − | 15.0875i | 0.234230 | − | 0.538839i | ||||
\(785\) | −34.6267 | − | 19.9918i | −1.23588 | − | 0.713536i | ||||
\(786\) | 56.8228 | − | 12.1585i | 2.02680 | − | 0.433681i | ||||
\(787\) | 9.41470 | − | 19.5498i | 0.335598 | − | 0.696876i | −0.663065 | − | 0.748561i | \(-0.730745\pi\) |
0.998663 | + | 0.0516850i | \(0.0164592\pi\) | |||||||
\(788\) | −51.5077 | + | 11.7563i | −1.83489 | + | 0.418801i | ||||
\(789\) | −12.3501 | − | 1.09467i | −0.439677 | − | 0.0389712i | ||||
\(790\) | 72.6167 | + | 5.44187i | 2.58359 | + | 0.193613i | ||||
\(791\) | 0.0380982 | − | 2.11323i | 0.00135462 | − | 0.0751379i | ||||
\(792\) | −15.8864 | + | 61.8011i | −0.564500 | + | 2.19601i | ||||
\(793\) | 0.0233667 | − | 0.0595374i | 0.000829777 | − | 0.00211424i | ||||
\(794\) | −7.59616 | − | 5.17897i | −0.269578 | − | 0.183795i | ||||
\(795\) | −7.02010 | + | 21.7057i | −0.248977 | + | 0.769821i | ||||
\(796\) | 24.4711 | − | 26.3736i | 0.867355 | − | 0.934786i | ||||
\(797\) | −27.3422 | − | 4.12117i | −0.968509 | − | 0.145979i | −0.354308 | − | 0.935129i | \(-0.615284\pi\) |
−0.614201 | + | 0.789149i | \(0.710522\pi\) | |||||||
\(798\) | 22.6637 | − | 52.7741i | 0.802285 | − | 1.86818i | ||||
\(799\) | −4.72680 | + | 0.712450i | −0.167222 | + | 0.0252047i | ||||
\(800\) | −0.296065 | + | 0.434248i | −0.0104675 | + | 0.0153530i | ||||
\(801\) | 21.4966 | + | 0.585072i | 0.759545 | + | 0.0206725i | ||||
\(802\) | 33.8766 | − | 58.6760i | 1.19622 | − | 2.07192i | ||||
\(803\) | 35.7523 | 1.26167 | ||||||||
\(804\) | 29.5230 | − | 72.3148i | 1.04120 | − | 2.55035i | ||||
\(805\) | −2.99480 | + | 2.30120i | −0.105553 | + | 0.0811066i | ||||
\(806\) | −4.70989 | − | 5.07605i | −0.165899 | − | 0.178796i | ||||
\(807\) | −20.4263 | − | 10.1814i | −0.719042 | − | 0.358404i | ||||
\(808\) | 3.28388 | + | 1.28883i | 0.115526 | + | 0.0453408i | ||||
\(809\) | −4.46196 | − | 29.6032i | −0.156874 | − | 1.04079i | −0.919255 | − | 0.393663i | \(-0.871208\pi\) |
0.762380 | − | 0.647129i | \(-0.224031\pi\) | |||||||
\(810\) | −39.9721 | + | 28.4628i | −1.40448 | + | 1.00008i | ||||
\(811\) | 15.9421 | − | 3.63867i | 0.559802 | − | 0.127771i | 0.0667479 | − | 0.997770i | \(-0.478738\pi\) |
0.493054 | + | 0.869999i | \(0.335881\pi\) | |||||||
\(812\) | 12.3432 | − | 72.9446i | 0.433163 | − | 2.55985i | ||||
\(813\) | 1.58348 | + | 11.5718i | 0.0555349 | + | 0.405841i | ||||
\(814\) | −35.2904 | + | 61.1248i | −1.23693 | + | 2.14242i | ||||
\(815\) | −14.7687 | −0.517326 | ||||||||
\(816\) | −4.76392 | − | 6.14340i | −0.166771 | − | 0.215062i | ||||
\(817\) | −13.6109 | − | 28.2632i | −0.476183 | − | 0.988805i | ||||
\(818\) | −27.3996 | − | 34.3581i | −0.958006 | − | 1.20130i | ||||
\(819\) | −2.57228 | − | 4.16587i | −0.0898827 | − | 0.145567i | ||||
\(820\) | −38.4235 | + | 48.1816i | −1.34181 | + | 1.68257i | ||||
\(821\) | 21.5969 | + | 4.92934i | 0.753736 | + | 0.172035i | 0.582091 | − | 0.813124i | \(-0.302235\pi\) |
0.171645 | + | 0.985159i | \(0.445092\pi\) | |||||||
\(822\) | −40.9276 | − | 13.2369i | −1.42751 | − | 0.461690i | ||||
\(823\) | −23.0771 | + | 11.1133i | −0.804417 | + | 0.387387i | −0.790458 | − | 0.612516i | \(-0.790158\pi\) |
−0.0139586 | + | 0.999903i | \(0.504443\pi\) | |||||||
\(824\) | 70.8794 | − | 10.6833i | 2.46920 | − | 0.372172i | ||||
\(825\) | −0.779162 | − | 1.67590i | −0.0271269 | − | 0.0583472i | ||||
\(826\) | 10.4511 | + | 78.9733i | 0.363642 | + | 2.74783i | ||||
\(827\) | 6.92450 | + | 14.3789i | 0.240788 | + | 0.500002i | 0.985983 | − | 0.166844i | \(-0.0533578\pi\) |
−0.745195 | + | 0.666847i | \(0.767643\pi\) | |||||||
\(828\) | −1.87142 | − | 6.70998i | −0.0650363 | − | 0.233188i | ||||
\(829\) | −10.9377 | + | 35.4592i | −0.379882 | + | 1.23155i | 0.540772 | + | 0.841169i | \(0.318132\pi\) |
−0.920654 | + | 0.390379i | \(0.872344\pi\) | |||||||
\(830\) | 82.1544 | − | 6.15662i | 2.85162 | − | 0.213699i | ||||
\(831\) | −32.0572 | − | 10.3680i | −1.11205 | − | 0.359663i | ||||
\(832\) | 5.78167 | − | 3.33805i | 0.200443 | − | 0.115726i | ||||
\(833\) | 13.3599 | + | 0.481870i | 0.462891 | + | 0.0166958i | ||||
\(834\) | −4.88988 | − | 12.9756i | −0.169323 | − | 0.449307i | ||||
\(835\) | 17.0038 | − | 21.3221i | 0.588441 | − | 0.737882i | ||||
\(836\) | −83.6455 | + | 57.0285i | −2.89294 | + | 1.97237i | ||||
\(837\) | 23.5550 | + | 6.39784i | 0.814178 | + | 0.221142i | ||||
\(838\) | −46.1374 | + | 3.45752i | −1.59379 | + | 0.119438i | ||||
\(839\) | −2.72826 | + | 36.4060i | −0.0941898 | + | 1.25688i | 0.727167 | + | 0.686461i | \(0.240837\pi\) |
−0.821357 | + | 0.570415i | \(0.806782\pi\) | |||||||
\(840\) | −42.5112 | − | 4.54169i | −1.46678 | − | 0.156703i | ||||
\(841\) | −2.07544 | − | 27.6949i | −0.0715670 | − | 0.954995i | ||||
\(842\) | 9.16329 | + | 60.7944i | 0.315788 | + | 2.09511i | ||||
\(843\) | −32.9583 | − | 7.99579i | −1.13515 | − | 0.275390i | ||||
\(844\) | −54.7767 | − | 8.25626i | −1.88549 | − | 0.284192i | ||||
\(845\) | −27.5120 | + | 8.48633i | −0.946442 | + | 0.291939i | ||||
\(846\) | −9.70159 | − | 15.0963i | −0.333548 | − | 0.519022i | ||||
\(847\) | 2.41037 | + | 42.4103i | 0.0828213 | + | 1.45724i | ||||
\(848\) | −2.02214 | − | 13.4160i | −0.0694406 | − | 0.460708i | ||||
\(849\) | 5.26845 | + | 17.9430i | 0.180813 | + | 0.615804i | ||||
\(850\) | 0.912793 | + | 0.208339i | 0.0313085 | + | 0.00714597i | ||||
\(851\) | − | 3.55271i | − | 0.121785i | ||||||
\(852\) | −2.83902 | + | 17.2407i | −0.0972633 | + | 0.590658i | ||||
\(853\) | −9.38569 | + | 10.1154i | −0.321360 | + | 0.346344i | −0.872984 | − | 0.487750i | \(-0.837818\pi\) |
0.551624 | + | 0.834093i | \(0.314008\pi\) | |||||||
\(854\) | −0.337978 | + | 0.561760i | −0.0115654 | + | 0.0192230i | ||||
\(855\) | −35.7090 | − | 3.65537i | −1.22122 | − | 0.125011i | ||||
\(856\) | 22.2707 | − | 20.6642i | 0.761197 | − | 0.706287i | ||||
\(857\) | −16.8624 | + | 42.9647i | −0.576009 | + | 1.46765i | 0.284734 | + | 0.958606i | \(0.408095\pi\) |
−0.860743 | + | 0.509040i | \(0.830001\pi\) | |||||||
\(858\) | −0.180681 | + | 13.2795i | −0.00616834 | + | 0.453356i | ||||
\(859\) | −2.68739 | + | 8.71232i | −0.0916927 | + | 0.297260i | −0.989789 | − | 0.142538i | \(-0.954474\pi\) |
0.898097 | + | 0.439798i | \(0.144950\pi\) | |||||||
\(860\) | −37.1248 | + | 34.4468i | −1.26595 | + | 1.17463i | ||||
\(861\) | 32.8083 | + | 6.01186i | 1.11811 | + | 0.204884i | ||||
\(862\) | −34.4944 | − | 32.0061i | −1.17488 | − | 1.09013i | ||||
\(863\) | 42.8094 | − | 24.7160i | 1.45725 | − | 0.841343i | 0.458374 | − | 0.888759i | \(-0.348432\pi\) |
0.998875 | + | 0.0474159i | \(0.0150986\pi\) | |||||||
\(864\) | −6.26069 | + | 11.7485i | −0.212993 | + | 0.399692i | ||||
\(865\) | −18.3823 | − | 17.0563i | −0.625016 | − | 0.579930i | ||||
\(866\) | 12.5788 | − | 6.05764i | 0.427446 | − | 0.205847i | ||||
\(867\) | −11.8352 | + | 19.8699i | −0.401944 | + | 0.674816i | ||||
\(868\) | 25.2905 | + | 38.5702i | 0.858415 | + | 1.30916i | ||||
\(869\) | −10.3541 | + | 68.6950i | −0.351239 | + | 2.33032i | ||||
\(870\) | −70.4982 | + | 9.64692i | −2.39011 | + | 0.327061i | ||||
\(871\) | 1.11717 | − | 7.41194i | 0.0378539 | − | 0.251144i | ||||
\(872\) | −61.9942 | − | 4.64582i | −2.09939 | − | 0.157327i | ||||
\(873\) | −6.26518 | + | 35.0645i | −0.212044 | + | 1.18675i | ||||
\(874\) | 3.40251 | − | 7.06538i | 0.115092 | − | 0.238990i | ||||
\(875\) | −24.2037 | + | 15.8704i | −0.818234 | + | 0.536517i | ||||
\(876\) | −42.9363 | − | 10.4165i | −1.45068 | − | 0.351940i | ||||
\(877\) | −5.94474 | + | 4.05305i | −0.200740 | + | 0.136862i | −0.659518 | − | 0.751689i | \(-0.729240\pi\) |
0.458778 | + | 0.888551i | \(0.348287\pi\) | |||||||
\(878\) | 1.19035 | + | 5.21526i | 0.0401723 | + | 0.176006i | ||||
\(879\) | 2.61910 | − | 29.5489i | 0.0883400 | − | 0.996661i | ||||
\(880\) | 21.8052 | + | 17.3890i | 0.735052 | + | 0.586185i | ||||
\(881\) | −8.55695 | −0.288291 | −0.144146 | − | 0.989557i | \(-0.546043\pi\) | ||||
−0.144146 | + | 0.989557i | \(0.546043\pi\) | |||||||
\(882\) | 18.8726 | + | 46.5019i | 0.635474 | + | 1.56580i | ||||
\(883\) | 38.5663 | 1.29786 | 0.648930 | − | 0.760848i | \(-0.275217\pi\) | ||||
0.648930 | + | 0.760848i | \(0.275217\pi\) | |||||||
\(884\) | −3.41805 | − | 2.72580i | −0.114961 | − | 0.0916787i | ||||
\(885\) | 45.1464 | − | 20.9896i | 1.51758 | − | 0.705557i | ||||
\(886\) | −10.4237 | − | 45.6691i | −0.350190 | − | 1.53428i | ||||
\(887\) | −23.2756 | + | 15.8690i | −0.781517 | + | 0.532829i | −0.887098 | − | 0.461582i | \(-0.847282\pi\) |
0.105581 | + | 0.994411i | \(0.466330\pi\) | |||||||
\(888\) | 27.7525 | − | 29.1057i | 0.931313 | − | 0.976723i | ||||
\(889\) | 29.3288 | − | 3.88130i | 0.983656 | − | 0.130175i | ||||
\(890\) | 16.9574 | − | 35.2124i | 0.568414 | − | 1.18032i | ||||
\(891\) | −24.2280 | − | 40.0562i | −0.811668 | − | 1.34193i | ||||
\(892\) | 41.5147 | + | 3.11110i | 1.39002 | + | 0.104167i | ||||
\(893\) | 1.95647 | − | 12.9803i | 0.0654707 | − | 0.434370i | ||||
\(894\) | 48.9406 | + | 63.1122i | 1.63682 | + | 2.11079i | ||||
\(895\) | 1.64258 | − | 10.8978i | 0.0549055 | − | 0.364274i | ||||
\(896\) | −51.4349 | + | 19.1241i | −1.71832 | + | 0.638891i | ||||
\(897\) | −0.326338 | − | 0.583424i | −0.0108961 | − | 0.0194799i | ||||
\(898\) | 20.2221 | − | 9.73844i | 0.674820 | − | 0.324976i | ||||
\(899\) | 25.9454 | + | 24.0738i | 0.865328 | + | 0.802907i | ||||
\(900\) | 0.447450 | + | 2.23965i | 0.0149150 | + | 0.0746551i | ||||
\(901\) | 9.54808 | − | 5.51259i | 0.318093 | − | 0.183651i | ||||
\(902\) | −66.3238 | − | 61.5395i | −2.20834 | − | 2.04904i | ||||
\(903\) | 25.9241 | + | 8.90373i | 0.862701 | + | 0.296298i | ||||
\(904\) | 2.39467 | − | 2.22193i | 0.0796455 | − | 0.0739002i | ||||
\(905\) | −8.59141 | + | 27.8527i | −0.285588 | + | 0.925854i | ||||
\(906\) | 32.9621 | + | 19.6334i | 1.09509 | + | 0.652276i | ||||
\(907\) | 19.7143 | − | 50.2311i | 0.654601 | − | 1.66790i | −0.0862895 | − | 0.996270i | \(-0.527501\pi\) |
0.740890 | − | 0.671626i | \(-0.234404\pi\) | |||||||
\(908\) | 44.7441 | − | 41.5164i | 1.48488 | − | 1.37777i | ||||
\(909\) | −2.36146 | + | 1.05906i | −0.0783246 | + | 0.0351270i | ||||
\(910\) | −8.82124 | + | 1.16738i | −0.292421 | + | 0.0386984i | ||||
\(911\) | −14.1951 | + | 15.2987i | −0.470304 | + | 0.506867i | −0.923001 | − | 0.384797i | \(-0.874271\pi\) |
0.452697 | + | 0.891664i | \(0.350462\pi\) | |||||||
\(912\) | 19.9770 | − | 7.52840i | 0.661506 | − | 0.249290i | ||||
\(913\) | 78.5955i | 2.60113i | ||||||||
\(914\) | −38.0704 | − | 8.68933i | −1.25926 | − | 0.287417i | ||||
\(915\) | 0.398184 | + | 0.0966006i | 0.0131636 | + | 0.00319352i | ||||
\(916\) | −9.69989 | − | 64.3546i | −0.320493 | − | 2.12633i | ||||
\(917\) | −35.6840 | + | 10.3064i | −1.17839 | + | 0.340348i | ||||
\(918\) | 23.5570 | + | 2.73574i | 0.777496 | + | 0.0902930i | ||||
\(919\) | −13.2222 | + | 4.07850i | −0.436159 | + | 0.134537i | −0.505056 | − | 0.863087i | \(-0.668528\pi\) |
0.0688971 | + | 0.997624i | \(0.478052\pi\) | |||||||
\(920\) | −5.77220 | − | 0.870019i | −0.190304 | − | 0.0286837i | ||||
\(921\) | 2.95782 | + | 10.0736i | 0.0974634 | + | 0.331936i | ||||
\(922\) | 8.67917 | + | 57.5826i | 0.285833 | + | 1.89638i | ||||
\(923\) | 0.125305 | + | 1.67208i | 0.00412447 | + | 0.0550372i | ||||
\(924\) | 15.9439 | − | 87.0104i | 0.524517 | − | 2.86243i | ||||
\(925\) | −0.0870456 | + | 1.16154i | −0.00286204 | + | 0.0381913i | ||||
\(926\) | 37.4244 | − | 2.80457i | 1.22984 | − | 0.0921639i | ||||
\(927\) | −30.7944 | + | 42.6272i | −1.01142 | + | 1.40006i | ||||
\(928\) | −15.9497 | + | 10.8744i | −0.523576 | + | 0.356968i | ||||
\(929\) | −2.05941 | + | 2.58241i | −0.0675670 | + | 0.0847263i | −0.814466 | − | 0.580211i | \(-0.802970\pi\) |
0.746899 | + | 0.664937i | \(0.231542\pi\) | |||||||
\(930\) | 28.1275 | − | 34.3028i | 0.922336 | − | 1.12483i | ||||
\(931\) | −12.0784 | + | 34.6677i | −0.395852 | + | 1.13619i | ||||
\(932\) | 65.8373 | − | 38.0112i | 2.15657 | − | 1.24510i | ||||
\(933\) | 11.5530 | − | 10.4308i | 0.378229 | − | 0.341488i | ||||
\(934\) | −79.5155 | + | 5.95886i | −2.60183 | + | 0.194980i | ||||
\(935\) | −6.68023 | + | 21.6568i | −0.218467 | + | 0.708252i | ||||
\(936\) | 1.88396 | − | 7.32896i | 0.0615793 | − | 0.239555i | ||||
\(937\) | 15.0429 | + | 31.2369i | 0.491429 | + | 1.02046i | 0.988283 | + | 0.152630i | \(0.0487741\pi\) |
−0.496854 | + | 0.867834i | \(0.665512\pi\) | |||||||
\(938\) | −23.9665 | + | 72.9990i | −0.782536 | + | 2.38350i | ||||
\(939\) | 17.1932 | − | 24.4951i | 0.561079 | − | 0.799366i | ||||
\(940\) | −20.9557 | + | 3.15857i | −0.683500 | + | 0.103021i | ||||
\(941\) | −39.8216 | + | 19.1771i | −1.29815 | + | 0.625154i | −0.949989 | − | 0.312282i | \(-0.898906\pi\) |
−0.348156 | + | 0.937436i | \(0.613192\pi\) | |||||||
\(942\) | −53.8430 | + | 48.6127i | −1.75430 | + | 1.58389i | ||||
\(943\) | 4.43997 | + | 1.01339i | 0.144585 | + | 0.0330006i | ||||
\(944\) | −18.4617 | + | 23.1503i | −0.600878 | + | 0.753478i | ||||
\(945\) | 24.2071 | − | 19.9447i | 0.787456 | − | 0.648800i | ||||
\(946\) | −46.3581 | − | 58.1312i | −1.50723 | − | 1.89001i | ||||
\(947\) | −11.0870 | − | 23.0223i | −0.360278 | − | 0.748125i | 0.639509 | − | 0.768784i | \(-0.279138\pi\) |
−0.999787 | + | 0.0206591i | \(0.993424\pi\) | |||||||
\(948\) | 32.4489 | − | 79.4816i | 1.05389 | − | 2.58144i | ||||
\(949\) | −4.23985 | −0.137631 | ||||||||
\(950\) | −1.28555 | + | 2.22663i | −0.0417086 | + | 0.0722415i | ||||
\(951\) | −7.05512 | − | 2.88030i | −0.228778 | − | 0.0934002i | ||||
\(952\) | 13.7786 | + | 15.3973i | 0.446566 | + | 0.499031i | ||||
\(953\) | −29.3308 | + | 6.69456i | −0.950117 | + | 0.216858i | −0.669375 | − | 0.742925i | \(-0.733438\pi\) |
−0.280743 | + | 0.959783i | \(0.590581\pi\) | |||||||
\(954\) | 33.5499 | + | 24.2368i | 1.08622 | + | 0.784696i | ||||
\(955\) | −2.44702 | − | 16.2349i | −0.0791839 | − | 0.525351i | ||||
\(956\) | −92.9212 | − | 36.4689i | −3.00529 | − | 1.17949i | ||||
\(957\) | −4.15145 | − | 67.7554i | −0.134197 | − | 2.19022i | ||||
\(958\) | 62.4904 | + | 67.3486i | 2.01897 | + | 2.17594i | ||||
\(959\) | 26.6906 | + | 6.60029i | 0.861883 | + | 0.213135i | ||||
\(960\) | 26.2085 | + | 33.7976i | 0.845874 | + | 1.09081i | ||||
\(961\) | 8.93451 | 0.288210 | ||||||||
\(962\) | 4.18507 | − | 7.24876i | 0.134932 | − | 0.233709i | ||||
\(963\) | −0.606397 | + | 22.2801i | −0.0195409 | + | 0.717967i | ||||
\(964\) | 35.7139 | − | 52.3826i | 1.15027 | − | 1.68713i | ||||
\(965\) | 59.2081 | − | 8.92418i | 1.90598 | − | 0.287280i | ||||
\(966\) | 2.30041 | + | 6.45453i | 0.0740146 | + | 0.207671i | ||||
\(967\) | 48.8050 | + | 7.35618i | 1.56946 | + | 0.236559i | 0.875416 | − | 0.483370i | \(-0.160587\pi\) |
0.694048 | + | 0.719929i | \(0.255825\pi\) | |||||||
\(968\) | −44.6565 | + | 48.1282i | −1.43531 | + | 1.54690i | ||||
\(969\) | 11.6256 | + | 12.8764i | 0.373467 | + | 0.413649i | ||||
\(970\) | 53.4876 | + | 36.4673i | 1.71738 | + | 1.17089i | ||||
\(971\) | 18.1716 | − | 46.3005i | 0.583154 | − | 1.48585i | −0.269303 | − | 0.963056i | \(-0.586793\pi\) |
0.852457 | − | 0.522797i | \(-0.175112\pi\) | |||||||
\(972\) | 17.4259 | + | 55.1638i | 0.558935 | + | 1.76938i | ||||
\(973\) | 3.70103 | + | 8.05349i | 0.118650 | + | 0.258183i | ||||
\(974\) | −44.6188 | − | 3.34372i | −1.42968 | − | 0.107140i | ||||
\(975\) | 0.0924004 | + | 0.198744i | 0.00295918 | + | 0.00636489i | ||||
\(976\) | −0.237575 | + | 0.0542249i | −0.00760459 | + | 0.00173570i | ||||
\(977\) | 5.02313 | − | 10.4306i | 0.160704 | − | 0.333706i | −0.805032 | − | 0.593231i | \(-0.797852\pi\) |
0.965736 | + | 0.259526i | \(0.0835662\pi\) | |||||||
\(978\) | −8.24547 | + | 25.4944i | −0.263661 | + | 0.815222i | ||||
\(979\) | 32.2899 | + | 18.6426i | 1.03199 | + | 0.595820i | ||||
\(980\) | 59.2294 | + | 2.13632i | 1.89201 | + | 0.0682421i | ||||
\(981\) | 34.2651 | − | 30.1006i | 1.09400 | − | 0.961038i | ||||
\(982\) | 34.9946 | + | 5.27459i | 1.11672 | + | 0.168319i | ||||
\(983\) | −1.41369 | − | 18.8644i | −0.0450897 | − | 0.601681i | −0.973287 | − | 0.229592i | \(-0.926261\pi\) |
0.928197 | − | 0.372089i | \(-0.121358\pi\) | |||||||
\(984\) | 28.4583 | + | 42.9857i | 0.907218 | + | 1.37034i | ||||
\(985\) | −18.2964 | − | 26.8359i | −0.582972 | − | 0.855063i | ||||
\(986\) | 28.4133 | + | 19.3718i | 0.904863 | + | 0.616925i | ||||
\(987\) | 6.86432 | + | 9.18941i | 0.218494 | + | 0.292502i | ||||
\(988\) | 9.91948 | − | 6.76299i | 0.315581 | − | 0.215159i | ||||
\(989\) | 3.48385 | + | 1.36731i | 0.110780 | + | 0.0434779i | ||||
\(990\) | −84.4433 | + | 10.3869i | −2.68378 | + | 0.330117i | ||||
\(991\) | −2.12416 | − | 5.41227i | −0.0674761 | − | 0.171926i | 0.893158 | − | 0.449743i | \(-0.148484\pi\) |
−0.960634 | + | 0.277817i | \(0.910389\pi\) | |||||||
\(992\) | 2.67798 | − | 11.7330i | 0.0850258 | − | 0.372522i | ||||
\(993\) | 22.2605 | − | 20.0981i | 0.706416 | − | 0.637795i | ||||
\(994\) | 1.59315 | − | 17.1134i | 0.0505316 | − | 0.542803i | ||||
\(995\) | 20.5890 | + | 8.08060i | 0.652716 | + | 0.256172i | ||||
\(996\) | 22.8988 | − | 94.3881i | 0.725577 | − | 2.99080i | ||||
\(997\) | 3.57547 | + | 11.5914i | 0.113236 | + | 0.367103i | 0.994397 | − | 0.105715i | \(-0.0337130\pi\) |
−0.881160 | + | 0.472818i | \(0.843237\pi\) | |||||||
\(998\) | 7.09622 | + | 4.09701i | 0.224627 | + | 0.129688i | ||||
\(999\) | 1.00248 | + | 29.4869i | 0.0317172 | + | 0.932925i |
(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 | 441.2.bn.a.353.6 | yes | 648 | |
9.5 | odd | 6 | 441.2.bd.a.59.6 | ✓ | 648 | ||
49.5 | odd | 42 | 441.2.bd.a.299.6 | yes | 648 | ||
441.5 | even | 42 | inner | 441.2.bn.a.5.6 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.59.6 | ✓ | 648 | 9.5 | odd | 6 | ||
441.2.bd.a.299.6 | yes | 648 | 49.5 | odd | 42 | ||
441.2.bn.a.5.6 | yes | 648 | 441.5 | even | 42 | inner | |
441.2.bn.a.353.6 | yes | 648 | 1.1 | even | 1 | trivial |