Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(47,441)]
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([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bd (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 | 437.52 | ||
Character | \(\chi\) | \(=\) | 441.437 |
Dual form | 441.2.bd.a.110.52 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{31}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.60229 | + | 0.195015i | 1.84010 | + | 0.137896i | 0.948871 | − | 0.315664i | \(-0.102227\pi\) |
0.891226 | + | 0.453560i | \(0.149846\pi\) | |||||||
\(3\) | −1.58818 | − | 0.691152i | −0.916935 | − | 0.399037i | ||||
\(4\) | 4.75622 | + | 0.716885i | 2.37811 | + | 0.358443i | ||||
\(5\) | −0.564942 | + | 2.47517i | −0.252650 | + | 1.10693i | 0.676272 | + | 0.736652i | \(0.263595\pi\) |
−0.928921 | + | 0.370278i | \(0.879263\pi\) | |||||||
\(6\) | −3.99812 | − | 2.10829i | −1.63222 | − | 0.860708i | ||||
\(7\) | 1.46081 | + | 2.20591i | 0.552133 | + | 0.833756i | ||||
\(8\) | 7.14895 | + | 1.63170i | 2.52753 | + | 0.576893i | ||||
\(9\) | 2.04462 | + | 2.19534i | 0.681540 | + | 0.731781i | ||||
\(10\) | −1.95284 | + | 6.33094i | −0.617541 | + | 2.00202i | ||||
\(11\) | −0.836003 | − | 1.73598i | −0.252064 | − | 0.523417i | 0.736089 | − | 0.676884i | \(-0.236670\pi\) |
−0.988154 | + | 0.153467i | \(0.950956\pi\) | |||||||
\(12\) | −7.05825 | − | 4.42581i | −2.03754 | − | 1.27762i | ||||
\(13\) | −6.25756 | − | 0.468939i | −1.73553 | − | 0.130060i | −0.830947 | − | 0.556351i | \(-0.812201\pi\) |
−0.904586 | + | 0.426291i | \(0.859820\pi\) | |||||||
\(14\) | 3.37126 | + | 6.02530i | 0.901006 | + | 1.61033i | ||||
\(15\) | 2.60795 | − | 3.54055i | 0.673369 | − | 0.914166i | ||||
\(16\) | 9.09293 | + | 2.80480i | 2.27323 | + | 0.701199i | ||||
\(17\) | 4.89533 | − | 0.737852i | 1.18729 | − | 0.178955i | 0.474451 | − | 0.880282i | \(-0.342647\pi\) |
0.712840 | + | 0.701327i | \(0.247409\pi\) | |||||||
\(18\) | 4.89257 | + | 6.11165i | 1.15319 | + | 1.44053i | ||||
\(19\) | 6.22673 | − | 3.59501i | 1.42851 | − | 0.824751i | 0.431507 | − | 0.902110i | \(-0.357982\pi\) |
0.997003 | + | 0.0773588i | \(0.0246487\pi\) | |||||||
\(20\) | −4.46140 | + | 11.3675i | −0.997599 | + | 2.54184i | ||||
\(21\) | −0.795401 | − | 4.51302i | −0.173571 | − | 0.984821i | ||||
\(22\) | −1.83698 | − | 4.68055i | −0.391646 | − | 0.997897i | ||||
\(23\) | −2.42163 | − | 1.93118i | −0.504944 | − | 0.402680i | 0.337614 | − | 0.941285i | \(-0.390380\pi\) |
−0.842558 | + | 0.538605i | \(0.818952\pi\) | |||||||
\(24\) | −10.2260 | − | 7.53244i | −2.08738 | − | 1.53755i | ||||
\(25\) | −1.30247 | − | 0.627234i | −0.260493 | − | 0.125447i | ||||
\(26\) | −16.1925 | − | 2.44063i | −3.17562 | − | 0.478647i | ||||
\(27\) | −1.72990 | − | 4.89974i | −0.332920 | − | 0.942955i | ||||
\(28\) | 5.36653 | + | 11.5390i | 1.01418 | + | 2.18067i | ||||
\(29\) | −4.50492 | − | 1.76805i | −0.836542 | − | 0.328319i | −0.0918883 | − | 0.995769i | \(-0.529290\pi\) |
−0.744654 | + | 0.667451i | \(0.767386\pi\) | |||||||
\(30\) | 7.47709 | − | 8.70495i | 1.36512 | − | 1.58930i | ||||
\(31\) | 1.58116 | − | 0.912886i | 0.283986 | − | 0.163959i | −0.351241 | − | 0.936285i | \(-0.614240\pi\) |
0.635226 | + | 0.772326i | \(0.280907\pi\) | |||||||
\(32\) | 9.46364 | + | 3.71421i | 1.67295 | + | 0.656585i | ||||
\(33\) | 0.127898 | + | 3.33485i | 0.0222641 | + | 0.580523i | ||||
\(34\) | 12.8830 | − | 0.965444i | 2.20941 | − | 0.165572i | ||||
\(35\) | −6.28528 | + | 2.36953i | −1.06241 | + | 0.400524i | ||||
\(36\) | 8.15085 | + | 11.9073i | 1.35848 | + | 1.98455i | ||||
\(37\) | 0.637384 | − | 1.62403i | 0.104785 | − | 0.266988i | −0.868859 | − | 0.495059i | \(-0.835146\pi\) |
0.973645 | + | 0.228071i | \(0.0732417\pi\) | |||||||
\(38\) | 16.9048 | − | 8.14094i | 2.74233 | − | 1.32064i | ||||
\(39\) | 9.61400 | + | 5.06968i | 1.53947 | + | 0.811798i | ||||
\(40\) | −8.07747 | + | 16.7730i | −1.27716 | + | 2.65205i | ||||
\(41\) | −5.19833 | − | 4.82334i | −0.811842 | − | 0.753279i | 0.160451 | − | 0.987044i | \(-0.448705\pi\) |
−0.972293 | + | 0.233764i | \(0.924896\pi\) | |||||||
\(42\) | −1.18976 | − | 11.8993i | −0.183584 | − | 1.83610i | ||||
\(43\) | 2.51167 | − | 2.33049i | 0.383026 | − | 0.355396i | −0.465037 | − | 0.885291i | \(-0.653959\pi\) |
0.848063 | + | 0.529895i | \(0.177769\pi\) | |||||||
\(44\) | −2.73172 | − | 8.85602i | −0.411822 | − | 1.33509i | ||||
\(45\) | −6.58894 | + | 3.82054i | −0.982221 | + | 0.569533i | ||||
\(46\) | −5.92517 | − | 5.49776i | −0.873619 | − | 0.810600i | ||||
\(47\) | −0.676524 | + | 9.02758i | −0.0986811 | + | 1.31681i | 0.699605 | + | 0.714530i | \(0.253359\pi\) |
−0.798286 | + | 0.602278i | \(0.794260\pi\) | |||||||
\(48\) | −12.5026 | − | 10.7391i | −1.80460 | − | 1.55006i | ||||
\(49\) | −2.73209 | + | 6.44482i | −0.390299 | + | 0.920688i | ||||
\(50\) | −3.26707 | − | 1.88625i | −0.462034 | − | 0.266755i | ||||
\(51\) | −8.28462 | − | 2.21157i | −1.16008 | − | 0.309682i | ||||
\(52\) | −29.4261 | − | 6.71633i | −4.08067 | − | 0.931387i | ||||
\(53\) | −2.80647 | + | 1.10146i | −0.385498 | + | 0.151297i | −0.550172 | − | 0.835051i | \(-0.685438\pi\) |
0.164674 | + | 0.986348i | \(0.447343\pi\) | |||||||
\(54\) | −3.54619 | − | 13.0879i | −0.482576 | − | 1.78104i | ||||
\(55\) | 4.76914 | − | 1.08852i | 0.643070 | − | 0.146777i | ||||
\(56\) | 6.84384 | + | 18.1535i | 0.914546 | + | 2.42587i | ||||
\(57\) | −12.3739 | + | 1.40589i | −1.63896 | + | 0.186215i | ||||
\(58\) | −11.3783 | − | 5.47950i | −1.49405 | − | 0.719494i | ||||
\(59\) | −1.03526 | + | 0.960578i | −0.134779 | + | 0.125057i | −0.744682 | − | 0.667419i | \(-0.767399\pi\) |
0.609903 | + | 0.792476i | \(0.291208\pi\) | |||||||
\(60\) | 14.9421 | − | 14.9701i | 1.92902 | − | 1.93263i | ||||
\(61\) | −1.94485 | − | 12.9032i | −0.249012 | − | 1.65209i | −0.668048 | − | 0.744118i | \(-0.732870\pi\) |
0.419036 | − | 0.907969i | \(-0.362368\pi\) | |||||||
\(62\) | 4.29268 | − | 2.06724i | 0.545170 | − | 0.262540i | ||||
\(63\) | −1.85594 | + | 7.71722i | −0.233827 | + | 0.972278i | ||||
\(64\) | 6.75615 | + | 3.25359i | 0.844519 | + | 0.406699i | ||||
\(65\) | 4.69586 | − | 15.2236i | 0.582449 | − | 1.88825i | ||||
\(66\) | −0.317517 | + | 8.70318i | −0.0390837 | + | 1.07129i | ||||
\(67\) | 1.52929 | + | 2.64880i | 0.186832 | + | 0.323602i | 0.944192 | − | 0.329395i | \(-0.106845\pi\) |
−0.757360 | + | 0.652997i | \(0.773511\pi\) | |||||||
\(68\) | 23.8122 | 2.88765 | ||||||||
\(69\) | 2.51124 | + | 4.74078i | 0.302317 | + | 0.570722i | ||||
\(70\) | −16.8182 | + | 4.94049i | −2.01016 | + | 0.590502i | ||||
\(71\) | −9.12620 | − | 7.27790i | −1.08308 | − | 0.863728i | −0.0918367 | − | 0.995774i | \(-0.529274\pi\) |
−0.991244 | + | 0.132046i | \(0.957845\pi\) | |||||||
\(72\) | 11.0347 | + | 19.0306i | 1.30046 | + | 2.24278i | ||||
\(73\) | 3.85339 | + | 5.65188i | 0.451005 | + | 0.661503i | 0.982651 | − | 0.185464i | \(-0.0593788\pi\) |
−0.531646 | + | 0.846967i | \(0.678426\pi\) | |||||||
\(74\) | 1.97537 | − | 4.10189i | 0.229632 | − | 0.476835i | ||||
\(75\) | 1.63503 | + | 1.89636i | 0.188797 | + | 0.218973i | ||||
\(76\) | 32.1929 | − | 12.6348i | 3.69278 | − | 1.44931i | ||||
\(77\) | 2.60818 | − | 4.38008i | 0.297229 | − | 0.499156i | ||||
\(78\) | 24.0298 | + | 15.0676i | 2.72084 | + | 1.70607i | ||||
\(79\) | −2.00311 | + | 3.46949i | −0.225367 | + | 0.390348i | −0.956430 | − | 0.291963i | \(-0.905692\pi\) |
0.731062 | + | 0.682311i | \(0.239025\pi\) | |||||||
\(80\) | −12.0793 | + | 20.9220i | −1.35051 | + | 2.33915i | ||||
\(81\) | −0.639065 | + | 8.97728i | −0.0710072 | + | 0.997476i | ||||
\(82\) | −12.5869 | − | 13.5655i | −1.38999 | − | 1.49806i | ||||
\(83\) | 0.241757 | + | 3.22602i | 0.0265363 | + | 0.354102i | 0.994629 | + | 0.103508i | \(0.0330068\pi\) |
−0.968092 | + | 0.250594i | \(0.919374\pi\) | |||||||
\(84\) | −0.547787 | − | 22.0351i | −0.0597685 | − | 2.40423i | ||||
\(85\) | −0.939264 | + | 12.5336i | −0.101878 | + | 1.35946i | ||||
\(86\) | 6.99058 | − | 5.57480i | 0.753813 | − | 0.601146i | ||||
\(87\) | 5.93262 | + | 5.92156i | 0.636044 | + | 0.634858i | ||||
\(88\) | −3.14395 | − | 13.7745i | −0.335146 | − | 1.46837i | ||||
\(89\) | −0.423211 | − | 5.64736i | −0.0448603 | − | 0.598619i | −0.973655 | − | 0.228025i | \(-0.926773\pi\) |
0.928795 | − | 0.370594i | \(-0.120846\pi\) | |||||||
\(90\) | −17.8914 | + | 8.65722i | −1.88592 | + | 0.912551i | ||||
\(91\) | −8.10664 | − | 14.4886i | −0.849806 | − | 1.51882i | ||||
\(92\) | −10.1334 | − | 10.9212i | −1.05648 | − | 1.13861i | ||||
\(93\) | −3.14211 | + | 0.357001i | −0.325822 | + | 0.0370193i | ||||
\(94\) | −3.52102 | + | 23.3605i | −0.363166 | + | 2.40945i | ||||
\(95\) | 5.38051 | + | 17.4432i | 0.552029 | + | 1.78963i | ||||
\(96\) | −12.4629 | − | 12.4396i | −1.27199 | − | 1.26961i | ||||
\(97\) | 2.32075 | − | 1.33988i | 0.235636 | − | 0.136045i | −0.377533 | − | 0.925996i | \(-0.623228\pi\) |
0.613169 | + | 0.789951i | \(0.289894\pi\) | |||||||
\(98\) | −8.36653 | + | 16.2385i | −0.845147 | + | 1.64033i | ||||
\(99\) | 2.10176 | − | 5.38473i | 0.211235 | − | 0.541186i | ||||
\(100\) | −5.74516 | − | 3.91698i | −0.574516 | − | 0.391698i | ||||
\(101\) | 0.0177944 | − | 0.0779626i | 0.00177061 | − | 0.00775756i | −0.974035 | − | 0.226398i | \(-0.927305\pi\) |
0.975806 | + | 0.218640i | \(0.0701622\pi\) | |||||||
\(102\) | −21.1277 | − | 7.37077i | −2.09195 | − | 0.729815i | ||||
\(103\) | 15.8948 | + | 3.62789i | 1.56616 | + | 0.357467i | 0.915634 | − | 0.402013i | \(-0.131689\pi\) |
0.650531 | + | 0.759480i | \(0.274547\pi\) | |||||||
\(104\) | −43.9698 | − | 13.5629i | −4.31159 | − | 1.32995i | ||||
\(105\) | 11.6198 | + | 0.580839i | 1.13398 | + | 0.0566841i | ||||
\(106\) | −7.51804 | + | 2.31901i | −0.730216 | + | 0.225242i | ||||
\(107\) | 4.16091 | − | 0.311817i | 0.402250 | − | 0.0301445i | 0.127931 | − | 0.991783i | \(-0.459167\pi\) |
0.274319 | + | 0.961639i | \(0.411547\pi\) | |||||||
\(108\) | −4.71526 | − | 24.5444i | −0.453726 | − | 2.36178i | ||||
\(109\) | 0.0553975 | − | 0.739228i | 0.00530612 | − | 0.0708052i | −0.993922 | − | 0.110086i | \(-0.964888\pi\) |
0.999228 | + | 0.0392804i | \(0.0125066\pi\) | |||||||
\(110\) | 12.6230 | − | 1.90260i | 1.20355 | − | 0.181406i | ||||
\(111\) | −2.13473 | + | 2.13872i | −0.202619 | + | 0.202998i | ||||
\(112\) | 7.09587 | + | 24.1555i | 0.670496 | + | 2.28248i | ||||
\(113\) | 1.57333 | + | 2.30765i | 0.148006 | + | 0.217085i | 0.893081 | − | 0.449895i | \(-0.148539\pi\) |
−0.745075 | + | 0.666981i | \(0.767586\pi\) | |||||||
\(114\) | −32.4745 | + | 1.24546i | −3.04152 | + | 0.116648i | ||||
\(115\) | 6.14809 | − | 4.90294i | 0.573312 | − | 0.457201i | ||||
\(116\) | −20.1589 | − | 11.6387i | −1.87171 | − | 1.08063i | ||||
\(117\) | −11.7648 | − | 14.6963i | −1.08766 | − | 1.35867i | ||||
\(118\) | −2.88137 | + | 2.29781i | −0.265251 | + | 0.211531i | ||||
\(119\) | 8.77876 | + | 9.72080i | 0.804747 | + | 0.891104i | ||||
\(120\) | 24.4212 | − | 21.0558i | 2.22934 | − | 1.92213i | ||||
\(121\) | 4.54367 | − | 5.69758i | 0.413061 | − | 0.517962i | ||||
\(122\) | −2.54474 | − | 33.9572i | −0.230390 | − | 3.07434i | ||||
\(123\) | 4.92221 | + | 11.2532i | 0.443820 | + | 1.01466i | ||||
\(124\) | 8.17480 | − | 3.20837i | 0.734119 | − | 0.288120i | ||||
\(125\) | −5.62633 | + | 7.05519i | −0.503234 | + | 0.631035i | ||||
\(126\) | −6.33467 | + | 19.7205i | −0.564337 | + | 1.75684i | ||||
\(127\) | 12.6039 | + | 15.8048i | 1.11841 | + | 1.40245i | 0.904962 | + | 0.425493i | \(0.139899\pi\) |
0.213452 | + | 0.976953i | \(0.431529\pi\) | |||||||
\(128\) | −0.661767 | − | 0.382072i | −0.0584925 | − | 0.0337707i | ||||
\(129\) | −5.59970 | + | 1.96529i | −0.493026 | + | 0.173034i | ||||
\(130\) | 15.1888 | − | 38.7004i | 1.33215 | − | 3.39425i | ||||
\(131\) | 1.67115 | + | 7.32177i | 0.146009 | + | 0.639706i | 0.993970 | + | 0.109648i | \(0.0349725\pi\) |
−0.847962 | + | 0.530057i | \(0.822170\pi\) | |||||||
\(132\) | −1.78239 | + | 15.9530i | −0.155137 | + | 1.38853i | ||||
\(133\) | 17.0263 | + | 8.48402i | 1.47637 | + | 0.735657i | ||||
\(134\) | 3.46309 | + | 7.19118i | 0.299165 | + | 0.621223i | ||||
\(135\) | 13.1050 | − | 1.51374i | 1.12790 | − | 0.130282i | ||||
\(136\) | 36.2004 | + | 2.71284i | 3.10416 | + | 0.232624i | ||||
\(137\) | −12.5079 | + | 2.85484i | −1.06862 | + | 0.243905i | −0.720436 | − | 0.693521i | \(-0.756058\pi\) |
−0.348183 | + | 0.937427i | \(0.613201\pi\) | |||||||
\(138\) | 5.61045 | + | 12.8266i | 0.477593 | + | 1.09187i | ||||
\(139\) | −2.61503 | + | 2.81833i | −0.221804 | + | 0.239048i | −0.834144 | − | 0.551547i | \(-0.814038\pi\) |
0.612340 | + | 0.790594i | \(0.290228\pi\) | |||||||
\(140\) | −31.5929 | + | 6.76420i | −2.67008 | + | 0.571679i | ||||
\(141\) | 7.31387 | − | 13.8698i | 0.615939 | − | 1.16805i | ||||
\(142\) | −22.3297 | − | 20.7189i | −1.87387 | − | 1.73870i | ||||
\(143\) | 4.41727 | + | 11.2550i | 0.369391 | + | 0.941192i | ||||
\(144\) | 12.4341 | + | 25.6968i | 1.03617 | + | 2.14140i | ||||
\(145\) | 6.92124 | − | 10.1516i | 0.574778 | − | 0.843044i | ||||
\(146\) | 8.92543 | + | 15.4593i | 0.738674 | + | 1.27942i | ||||
\(147\) | 8.79339 | − | 8.34723i | 0.725267 | − | 0.688468i | ||||
\(148\) | 4.19578 | − | 7.26730i | 0.344891 | − | 0.597369i | ||||
\(149\) | 4.83377 | + | 10.0374i | 0.395998 | + | 0.822298i | 0.999686 | + | 0.0250774i | \(0.00798321\pi\) |
−0.603687 | + | 0.797221i | \(0.706303\pi\) | |||||||
\(150\) | 3.88501 | + | 5.25374i | 0.317210 | + | 0.428966i | ||||
\(151\) | −1.00778 | + | 1.26371i | −0.0820116 | + | 0.102839i | −0.821145 | − | 0.570720i | \(-0.806664\pi\) |
0.739133 | + | 0.673560i | \(0.235236\pi\) | |||||||
\(152\) | 50.3806 | − | 15.5403i | 4.08640 | − | 1.26049i | ||||
\(153\) | 11.6289 | + | 9.23830i | 0.940142 | + | 0.746872i | ||||
\(154\) | 7.64141 | − | 10.8896i | 0.615763 | − | 0.877509i | ||||
\(155\) | 1.36628 | + | 4.42938i | 0.109742 | + | 0.355776i | ||||
\(156\) | 42.0920 | + | 31.0046i | 3.37005 | + | 2.48236i | ||||
\(157\) | −12.5625 | − | 13.5392i | −1.00260 | − | 1.08054i | −0.996750 | − | 0.0805590i | \(-0.974329\pi\) |
−0.00584656 | − | 0.999983i | \(-0.501861\pi\) | |||||||
\(158\) | −5.88927 | + | 8.63798i | −0.468525 | + | 0.687200i | ||||
\(159\) | 5.21844 | + | 0.190384i | 0.413849 | + | 0.0150984i | ||||
\(160\) | −14.5397 | + | 21.3258i | −1.14946 | + | 1.68595i | ||||
\(161\) | 0.722493 | − | 8.16298i | 0.0569404 | − | 0.643333i | ||||
\(162\) | −3.41373 | + | 23.2369i | −0.268208 | + | 1.82566i | ||||
\(163\) | 12.1358 | − | 11.2604i | 0.950551 | − | 0.881982i | −0.0425679 | − | 0.999094i | \(-0.513554\pi\) |
0.993119 | + | 0.117111i | \(0.0373634\pi\) | |||||||
\(164\) | −21.2666 | − | 26.6675i | −1.66064 | − | 2.08238i | ||||
\(165\) | −8.32657 | − | 1.56743i | −0.648223 | − | 0.122024i | ||||
\(166\) | 8.44220i | 0.655242i | ||||||||
\(167\) | −16.3533 | + | 2.46487i | −1.26546 | + | 0.190737i | −0.747265 | − | 0.664526i | \(-0.768633\pi\) |
−0.518193 | + | 0.855264i | \(0.673395\pi\) | |||||||
\(168\) | 1.67762 | − | 33.5612i | 0.129431 | − | 2.58930i | ||||
\(169\) | 26.0823 | + | 3.93127i | 2.00633 | + | 0.302406i | ||||
\(170\) | −4.88848 | + | 32.4329i | −0.374929 | + | 2.48749i | ||||
\(171\) | 20.6236 | + | 6.31940i | 1.57712 | + | 0.483256i | ||||
\(172\) | 13.6168 | − | 9.28375i | 1.03827 | − | 0.707879i | ||||
\(173\) | −3.66684 | − | 9.34296i | −0.278785 | − | 0.710332i | −0.999848 | − | 0.0174622i | \(-0.994441\pi\) |
0.721063 | − | 0.692870i | \(-0.243654\pi\) | |||||||
\(174\) | 14.2836 | + | 16.5666i | 1.08284 | + | 1.25591i | ||||
\(175\) | −0.519026 | − | 3.78939i | −0.0392347 | − | 0.286451i | ||||
\(176\) | −2.73265 | − | 18.1299i | −0.205981 | − | 1.36660i | ||||
\(177\) | 2.30808 | − | 0.810050i | 0.173486 | − | 0.0608871i | ||||
\(178\) | − | 14.7786i | − | 1.10770i | ||||||
\(179\) | −0.395423 | − | 2.62346i | −0.0295553 | − | 0.196087i | 0.969181 | − | 0.246351i | \(-0.0792317\pi\) |
−0.998736 | + | 0.0502645i | \(0.983994\pi\) | |||||||
\(180\) | −34.0773 | + | 13.4478i | −2.53998 | + | 1.00234i | ||||
\(181\) | −3.17461 | + | 6.59214i | −0.235967 | + | 0.489990i | −0.985003 | − | 0.172540i | \(-0.944803\pi\) |
0.749036 | + | 0.662529i | \(0.230517\pi\) | |||||||
\(182\) | −18.2703 | − | 39.2846i | −1.35429 | − | 2.91197i | ||||
\(183\) | −5.82931 | + | 21.8368i | −0.430915 | + | 1.61422i | ||||
\(184\) | −14.1610 | − | 17.7573i | −1.04396 | − | 1.30909i | ||||
\(185\) | 3.65966 | + | 2.49511i | 0.269064 | + | 0.183444i | ||||
\(186\) | −8.24631 | + | 0.316262i | −0.604649 | + | 0.0231894i | ||||
\(187\) | −5.37340 | − | 7.88133i | −0.392942 | − | 0.576340i | ||||
\(188\) | −9.68944 | + | 42.4522i | −0.706675 | + | 3.09614i | ||||
\(189\) | 8.28133 | − | 10.9736i | 0.602378 | − | 0.798211i | ||||
\(190\) | 10.6000 | + | 46.4415i | 0.769003 | + | 3.36922i | ||||
\(191\) | −6.43747 | + | 6.93795i | −0.465799 | + | 0.502012i | −0.921638 | − | 0.388050i | \(-0.873149\pi\) |
0.455839 | + | 0.890062i | \(0.349339\pi\) | |||||||
\(192\) | −8.48125 | − | 9.83680i | −0.612081 | − | 0.709910i | ||||
\(193\) | −21.5151 | + | 6.63652i | −1.54869 | + | 0.477707i | −0.947057 | − | 0.321067i | \(-0.895959\pi\) |
−0.601632 | + | 0.798774i | \(0.705482\pi\) | |||||||
\(194\) | 6.30055 | − | 3.03419i | 0.452353 | − | 0.217842i | ||||
\(195\) | −17.9797 | + | 20.9322i | −1.28755 | + | 1.49899i | ||||
\(196\) | −17.6146 | + | 28.6944i | −1.25819 | + | 2.04960i | ||||
\(197\) | 8.53046i | 0.607770i | 0.952709 | + | 0.303885i | \(0.0982839\pi\) | ||||
−0.952709 | + | 0.303885i | \(0.901716\pi\) | |||||||
\(198\) | 6.51949 | − | 13.6028i | 0.463320 | − | 0.966706i | ||||
\(199\) | 3.95037 | − | 4.25749i | 0.280034 | − | 0.301805i | −0.577334 | − | 0.816508i | \(-0.695907\pi\) |
0.857369 | + | 0.514702i | \(0.172098\pi\) | |||||||
\(200\) | −8.28780 | − | 6.60930i | −0.586036 | − | 0.467348i | ||||
\(201\) | −0.598055 | − | 5.26373i | −0.0421836 | − | 0.371275i | ||||
\(202\) | 0.0615102 | − | 0.199411i | 0.00432784 | − | 0.0140305i | ||||
\(203\) | −2.68065 | − | 12.5202i | −0.188145 | − | 0.878748i | ||||
\(204\) | −37.8180 | − | 16.4578i | −2.64779 | − | 1.15228i | ||||
\(205\) | 14.8753 | − | 10.1418i | 1.03894 | − | 0.708337i | ||||
\(206\) | 40.6555 | + | 12.5406i | 2.83260 | + | 0.873742i | ||||
\(207\) | −0.711696 | − | 9.26484i | −0.0494663 | − | 0.643951i | ||||
\(208\) | −55.5842 | − | 21.8152i | −3.85407 | − | 1.51261i | ||||
\(209\) | −11.4464 | − | 7.80404i | −0.791765 | − | 0.539817i | ||||
\(210\) | 30.1249 | + | 3.77755i | 2.07882 | + | 0.260676i | ||||
\(211\) | 4.89376 | − | 3.33651i | 0.336900 | − | 0.229695i | −0.383038 | − | 0.923732i | \(-0.625122\pi\) |
0.719939 | + | 0.694038i | \(0.244170\pi\) | |||||||
\(212\) | −14.1378 | + | 3.22686i | −0.970987 | + | 0.221622i | ||||
\(213\) | 9.46389 | + | 17.8662i | 0.648455 | + | 1.22417i | ||||
\(214\) | 10.8887 | 0.744336 | ||||||||
\(215\) | 4.34941 | + | 7.53340i | 0.296627 | + | 0.513774i | ||||
\(216\) | −4.37209 | − | 37.8507i | −0.297483 | − | 2.57541i | ||||
\(217\) | 4.32352 | + | 2.15436i | 0.293500 | + | 0.146248i | ||||
\(218\) | 0.288321 | − | 1.91288i | 0.0195275 | − | 0.129557i | ||||
\(219\) | −2.21356 | − | 11.6395i | −0.149578 | − | 0.786522i | ||||
\(220\) | 23.4634 | − | 1.75834i | 1.58190 | − | 0.118547i | ||||
\(221\) | −30.9788 | + | 2.32154i | −2.08386 | + | 0.156164i | ||||
\(222\) | −5.97226 | + | 5.14926i | −0.400832 | + | 0.345595i | ||||
\(223\) | 3.60753 | − | 23.9344i | 0.241578 | − | 1.60277i | −0.458495 | − | 0.888697i | \(-0.651611\pi\) |
0.700074 | − | 0.714071i | \(-0.253151\pi\) | |||||||
\(224\) | 5.63133 | + | 26.3017i | 0.376259 | + | 1.75736i | ||||
\(225\) | −1.28605 | − | 4.14182i | −0.0857368 | − | 0.276121i | ||||
\(226\) | 3.64423 | + | 6.31199i | 0.242411 | + | 0.419867i | ||||
\(227\) | 20.2341 | 1.34299 | 0.671494 | − | 0.741010i | \(-0.265653\pi\) | ||||
0.671494 | + | 0.741010i | \(0.265653\pi\) | |||||||
\(228\) | −59.8607 | − | 2.18389i | −3.96437 | − | 0.144632i | ||||
\(229\) | −6.54663 | + | 1.49423i | −0.432614 | + | 0.0987413i | −0.433282 | − | 0.901259i | \(-0.642644\pi\) |
0.000668047 | 1.00000i | \(0.499787\pi\) | ||||||||
\(230\) | 16.9553 | − | 11.5599i | 1.11800 | − | 0.762237i | ||||
\(231\) | −7.16955 | + | 5.15370i | −0.471721 | + | 0.339088i | ||||
\(232\) | −29.3205 | − | 19.9904i | −1.92498 | − | 1.31243i | ||||
\(233\) | −18.8575 | − | 7.40103i | −1.23540 | − | 0.484857i | −0.344381 | − | 0.938830i | \(-0.611911\pi\) |
−0.891016 | + | 0.453973i | \(0.850006\pi\) | |||||||
\(234\) | −27.7495 | − | 40.5383i | −1.81404 | − | 2.65007i | ||||
\(235\) | −21.9626 | − | 6.77457i | −1.43268 | − | 0.441924i | ||||
\(236\) | −5.61254 | + | 3.82656i | −0.365345 | + | 0.249088i | ||||
\(237\) | 5.57923 | − | 4.12571i | 0.362410 | − | 0.267994i | ||||
\(238\) | 20.9492 | + | 27.0083i | 1.35793 | + | 1.75069i | ||||
\(239\) | 2.88637 | − | 9.35737i | 0.186704 | − | 0.605278i | −0.813031 | − | 0.582221i | \(-0.802184\pi\) |
0.999734 | − | 0.0230572i | \(-0.00733997\pi\) | |||||||
\(240\) | 33.6444 | − | 24.8792i | 2.17174 | − | 1.60595i | ||||
\(241\) | 5.04070 | + | 4.01982i | 0.324700 | + | 0.258940i | 0.772249 | − | 0.635320i | \(-0.219132\pi\) |
−0.447549 | + | 0.894259i | \(0.647703\pi\) | |||||||
\(242\) | 12.9351 | − | 13.9407i | 0.831497 | − | 0.896140i | ||||
\(243\) | 7.21961 | − | 13.8158i | 0.463138 | − | 0.886286i | ||||
\(244\) | − | 62.7648i | − | 4.01810i | ||||||
\(245\) | −14.4086 | − | 10.4033i | −0.920528 | − | 0.664645i | ||||
\(246\) | 10.6145 | + | 30.2439i | 0.676755 | + | 1.92828i | ||||
\(247\) | −40.6500 | + | 19.5760i | −2.58649 | + | 1.24559i | ||||
\(248\) | 12.7932 | − | 3.94619i | 0.812370 | − | 0.250583i | ||||
\(249\) | 1.84572 | − | 5.29059i | 0.116968 | − | 0.335278i | ||||
\(250\) | −16.0172 | + | 17.2624i | −1.01302 | + | 1.09177i | ||||
\(251\) | 2.93205 | + | 12.8461i | 0.185069 | + | 0.810842i | 0.979168 | + | 0.203053i | \(0.0650862\pi\) |
−0.794099 | + | 0.607789i | \(0.792057\pi\) | |||||||
\(252\) | −14.3596 | + | 35.3743i | −0.904572 | + | 2.22837i | ||||
\(253\) | −1.32801 | + | 5.81837i | −0.0834910 | + | 0.365798i | ||||
\(254\) | 29.7168 | + | 43.5865i | 1.86460 | + | 2.73486i | ||||
\(255\) | 10.1543 | − | 19.2564i | 0.635890 | − | 1.20588i | ||||
\(256\) | −14.0391 | − | 9.57172i | −0.877446 | − | 0.598233i | ||||
\(257\) | 4.96157 | + | 6.22161i | 0.309494 | + | 0.388093i | 0.912115 | − | 0.409934i | \(-0.134448\pi\) |
−0.602621 | + | 0.798028i | \(0.705877\pi\) | |||||||
\(258\) | −14.9553 | + | 4.02223i | −0.931077 | + | 0.250413i | ||||
\(259\) | 4.51356 | − | 0.966377i | 0.280459 | − | 0.0600477i | ||||
\(260\) | 33.2481 | − | 69.0404i | 2.06196 | − | 4.28170i | ||||
\(261\) | −5.32937 | − | 13.5048i | −0.329879 | − | 0.835928i | ||||
\(262\) | 2.92095 | + | 19.3793i | 0.180457 | + | 1.19726i | ||||
\(263\) | 3.83489i | 0.236469i | 0.992986 | + | 0.118235i | \(0.0377235\pi\) | ||||
−0.992986 | + | 0.118235i | \(0.962277\pi\) | |||||||
\(264\) | −4.52714 | + | 24.0493i | −0.278626 | + | 1.48013i | ||||
\(265\) | −1.14080 | − | 7.56874i | −0.0700790 | − | 0.464944i | ||||
\(266\) | 42.6529 | + | 25.3983i | 2.61522 | + | 1.55727i | ||||
\(267\) | −3.23105 | + | 9.26152i | −0.197737 | + | 0.566796i | ||||
\(268\) | 5.37474 | + | 13.6946i | 0.328314 | + | 0.836531i | ||||
\(269\) | −23.6310 | + | 16.1113i | −1.44081 | + | 0.982325i | −0.444560 | + | 0.895749i | \(0.646640\pi\) |
−0.996245 | + | 0.0865755i | \(0.972408\pi\) | |||||||
\(270\) | 34.3982 | − | 1.38354i | 2.09341 | − | 0.0841993i | ||||
\(271\) | −3.77216 | + | 25.0266i | −0.229142 | + | 1.52026i | 0.517876 | + | 0.855456i | \(0.326723\pi\) |
−0.747018 | + | 0.664804i | \(0.768515\pi\) | |||||||
\(272\) | 46.5824 | + | 7.02116i | 2.82447 | + | 0.425720i | ||||
\(273\) | 2.86093 | + | 28.6135i | 0.173152 | + | 1.73177i | ||||
\(274\) | −33.1058 | + | 4.98990i | −2.00000 | + | 0.301451i | ||||
\(275\) | 2.78542i | 0.167967i | ||||||||
\(276\) | 8.54541 | + | 24.3485i | 0.514373 | + | 1.46560i | ||||
\(277\) | 4.75139 | + | 5.95805i | 0.285483 | + | 0.357985i | 0.903808 | − | 0.427938i | \(-0.140760\pi\) |
−0.618325 | + | 0.785923i | \(0.712188\pi\) | |||||||
\(278\) | −7.35468 | + | 6.82415i | −0.441105 | + | 0.409285i | ||||
\(279\) | 5.23698 | + | 1.60470i | 0.313530 | + | 0.0960706i | ||||
\(280\) | −48.7995 | + | 6.68397i | −2.91633 | + | 0.399444i | ||||
\(281\) | 1.61755 | − | 2.37252i | 0.0964952 | − | 0.141532i | −0.774955 | − | 0.632016i | \(-0.782228\pi\) |
0.871450 | + | 0.490484i | \(0.163180\pi\) | |||||||
\(282\) | 21.7376 | − | 34.6670i | 1.29446 | − | 2.06439i | ||||
\(283\) | −14.5730 | + | 21.3747i | −0.866277 | + | 1.27060i | 0.0951294 | + | 0.995465i | \(0.469674\pi\) |
−0.961407 | + | 0.275131i | \(0.911279\pi\) | |||||||
\(284\) | −38.1888 | − | 41.1577i | −2.26609 | − | 2.44226i | ||||
\(285\) | 3.51068 | − | 31.4216i | 0.207955 | − | 1.86126i | ||||
\(286\) | 9.30012 | + | 30.1503i | 0.549928 | + | 1.78282i | ||||
\(287\) | 3.04612 | − | 18.5130i | 0.179807 | − | 1.09279i | ||||
\(288\) | 11.1956 | + | 28.3701i | 0.659706 | + | 1.67172i | ||||
\(289\) | 7.17505 | − | 2.21321i | 0.422062 | − | 0.130189i | ||||
\(290\) | 19.9908 | − | 25.0677i | 1.17390 | − | 1.47202i | ||||
\(291\) | −4.61182 | + | 0.523986i | −0.270350 | + | 0.0307166i | ||||
\(292\) | 14.2758 | + | 29.6440i | 0.835429 | + | 1.73479i | ||||
\(293\) | 9.64356 | − | 16.7031i | 0.563383 | − | 0.975807i | −0.433815 | − | 0.901002i | \(-0.642833\pi\) |
0.997198 | − | 0.0748057i | \(-0.0238337\pi\) | |||||||
\(294\) | 24.5108 | − | 20.0071i | 1.42950 | − | 1.16684i | ||||
\(295\) | −1.79273 | − | 3.10511i | −0.104377 | − | 0.180786i | ||||
\(296\) | 7.20655 | − | 10.5701i | 0.418872 | − | 0.614373i | ||||
\(297\) | −7.05963 | + | 7.09927i | −0.409642 | + | 0.411942i | ||||
\(298\) | 10.6214 | + | 27.0630i | 0.615283 | + | 1.56772i | ||||
\(299\) | 14.2479 | + | 13.2201i | 0.823975 | + | 0.764538i | ||||
\(300\) | 6.41711 | + | 10.1916i | 0.370492 | + | 0.588415i | ||||
\(301\) | 8.80992 | + | 2.13613i | 0.507795 | + | 0.123124i | ||||
\(302\) | −2.86897 | + | 3.09201i | −0.165090 | + | 0.177925i | ||||
\(303\) | −0.0821447 | + | 0.111520i | −0.00471909 | + | 0.00640664i | ||||
\(304\) | 66.7025 | − | 15.2244i | 3.82565 | − | 0.873179i | ||||
\(305\) | 33.0364 | + | 2.47573i | 1.89166 | + | 0.141760i | ||||
\(306\) | 28.4602 | + | 26.3085i | 1.62696 | + | 1.50396i | ||||
\(307\) | 7.55153 | + | 15.6809i | 0.430988 | + | 0.894957i | 0.997484 | + | 0.0708920i | \(0.0225846\pi\) |
−0.566496 | + | 0.824065i | \(0.691701\pi\) | |||||||
\(308\) | 15.5451 | − | 18.9629i | 0.885763 | − | 1.08051i | ||||
\(309\) | −22.7364 | − | 16.7475i | −1.29343 | − | 0.952731i | ||||
\(310\) | 2.69167 | + | 11.7930i | 0.152877 | + | 0.669796i | ||||
\(311\) | −1.85046 | + | 4.71490i | −0.104930 | + | 0.267357i | −0.973690 | − | 0.227876i | \(-0.926822\pi\) |
0.868760 | + | 0.495233i | \(0.164917\pi\) | |||||||
\(312\) | 60.4578 | + | 51.9300i | 3.42275 | + | 2.93996i | ||||
\(313\) | −4.36156 | − | 2.51815i | −0.246530 | − | 0.142334i | 0.371644 | − | 0.928375i | \(-0.378794\pi\) |
−0.618174 | + | 0.786041i | \(0.712127\pi\) | |||||||
\(314\) | −30.0509 | − | 37.6827i | −1.69587 | − | 2.12656i | ||||
\(315\) | −18.0529 | − | 8.95355i | −1.01717 | − | 0.504475i | ||||
\(316\) | −12.0145 | + | 15.0656i | −0.675866 | + | 0.847509i | ||||
\(317\) | −1.90370 | + | 0.747146i | −0.106922 | + | 0.0419639i | −0.418199 | − | 0.908355i | \(-0.637339\pi\) |
0.311277 | + | 0.950319i | \(0.399243\pi\) | |||||||
\(318\) | 13.5428 | + | 1.51311i | 0.759441 | + | 0.0848508i | ||||
\(319\) | 0.696829 | + | 9.29854i | 0.0390149 | + | 0.520618i | ||||
\(320\) | −11.8700 | + | 14.8845i | −0.663554 | + | 0.832071i | ||||
\(321\) | −6.82377 | − | 2.38060i | −0.380866 | − | 0.132872i | ||||
\(322\) | 3.47204 | − | 21.1016i | 0.193489 | − | 1.17594i | ||||
\(323\) | 27.8293 | − | 22.1931i | 1.54846 | − | 1.23486i | ||||
\(324\) | −9.47521 | + | 42.2398i | −0.526401 | + | 2.34666i | ||||
\(325\) | 7.85612 | + | 4.53573i | 0.435779 | + | 0.251597i | ||||
\(326\) | 33.7769 | − | 26.9362i | 1.87073 | − | 1.49186i | ||||
\(327\) | −0.598900 | + | 1.13574i | −0.0331192 | + | 0.0628064i | ||||
\(328\) | −29.2923 | − | 42.9639i | −1.61740 | − | 2.37229i | ||||
\(329\) | −20.9023 | + | 11.6952i | −1.15238 | + | 0.644777i | ||||
\(330\) | −21.3625 | − | 5.70270i | −1.17597 | − | 0.313923i | ||||
\(331\) | −15.7580 | + | 2.37514i | −0.866139 | + | 0.130549i | −0.567058 | − | 0.823678i | \(-0.691918\pi\) |
−0.299082 | + | 0.954228i | \(0.596680\pi\) | |||||||
\(332\) | −1.16284 | + | 15.5170i | −0.0638190 | + | 0.851606i | ||||
\(333\) | 4.86851 | − | 1.92124i | 0.266792 | − | 0.105283i | ||||
\(334\) | −43.0368 | + | 3.22516i | −2.35487 | + | 0.176473i | ||||
\(335\) | −7.42019 | + | 2.28882i | −0.405408 | + | 0.125052i | ||||
\(336\) | 5.42558 | − | 43.2675i | 0.295989 | − | 2.36043i | ||||
\(337\) | 16.8520 | + | 5.19817i | 0.917989 | + | 0.283162i | 0.717520 | − | 0.696538i | \(-0.245277\pi\) |
0.200469 | + | 0.979700i | \(0.435753\pi\) | |||||||
\(338\) | 67.1071 | + | 15.3167i | 3.65014 | + | 0.833121i | ||||
\(339\) | −0.903790 | − | 4.75236i | −0.0490871 | − | 0.258113i | ||||
\(340\) | −13.4525 | + | 58.9393i | −0.729565 | + | 3.19643i | ||||
\(341\) | −2.90661 | − | 1.98169i | −0.157402 | − | 0.107315i | ||||
\(342\) | 52.4361 | + | 20.4668i | 2.83542 | + | 1.10672i | ||||
\(343\) | −18.2078 | + | 3.38787i | −0.983126 | + | 0.182928i | ||||
\(344\) | 21.7585 | − | 12.5623i | 1.17314 | − | 0.677311i | ||||
\(345\) | −13.1529 | + | 3.53748i | −0.708130 | + | 0.190451i | ||||
\(346\) | −7.72017 | − | 25.0282i | −0.415039 | − | 1.34552i | ||||
\(347\) | −2.86101 | + | 18.9815i | −0.153587 | + | 1.01898i | 0.770677 | + | 0.637227i | \(0.219918\pi\) |
−0.924263 | + | 0.381755i | \(0.875320\pi\) | |||||||
\(348\) | 23.9718 | + | 32.4173i | 1.28502 | + | 1.73775i | ||||
\(349\) | −12.5457 | − | 13.5210i | −0.671555 | − | 0.723764i | 0.301723 | − | 0.953396i | \(-0.402438\pi\) |
−0.973278 | + | 0.229632i | \(0.926248\pi\) | |||||||
\(350\) | −0.611669 | − | 9.96232i | −0.0326951 | − | 0.532508i | ||||
\(351\) | 8.52730 | + | 31.4716i | 0.455153 | + | 1.67983i | ||||
\(352\) | −1.46385 | − | 19.5338i | −0.0780236 | − | 1.04115i | ||||
\(353\) | 3.96929 | + | 17.3906i | 0.211264 | + | 0.925608i | 0.963709 | + | 0.266954i | \(0.0860170\pi\) |
−0.752445 | + | 0.658655i | \(0.771126\pi\) | |||||||
\(354\) | 6.16426 | − | 1.65788i | 0.327627 | − | 0.0881151i | ||||
\(355\) | 23.1698 | − | 18.4773i | 1.22973 | − | 0.980674i | ||||
\(356\) | 2.03562 | − | 27.1635i | 0.107888 | − | 1.43966i | ||||
\(357\) | −7.22368 | − | 21.5058i | −0.382318 | − | 1.13821i | ||||
\(358\) | −0.517392 | − | 6.90412i | −0.0273450 | − | 0.364894i | ||||
\(359\) | −16.0461 | − | 17.2936i | −0.846881 | − | 0.912720i | 0.150232 | − | 0.988651i | \(-0.451998\pi\) |
−0.997113 | + | 0.0759303i | \(0.975807\pi\) | |||||||
\(360\) | −53.3380 | + | 16.5617i | −2.81116 | + | 0.872877i | ||||
\(361\) | 16.3481 | − | 28.3158i | 0.860428 | − | 1.49030i | ||||
\(362\) | −9.54681 | + | 16.5356i | −0.501769 | + | 0.869089i | ||||
\(363\) | −11.1540 | + | 5.90841i | −0.585435 | + | 0.310111i | ||||
\(364\) | −28.1703 | − | 74.7227i | −1.47652 | − | 3.91654i | ||||
\(365\) | −16.1663 | + | 6.34481i | −0.846183 | + | 0.332102i | ||||
\(366\) | −19.4281 | + | 55.6888i | −1.01552 | + | 2.91090i | ||||
\(367\) | 4.37602 | − | 9.08691i | 0.228427 | − | 0.474333i | −0.754980 | − | 0.655748i | \(-0.772353\pi\) |
0.983407 | + | 0.181415i | \(0.0580677\pi\) | |||||||
\(368\) | −16.6031 | − | 24.3523i | −0.865497 | − | 1.26945i | ||||
\(369\) | −0.0397063 | − | 21.2740i | −0.00206703 | − | 1.10748i | ||||
\(370\) | 9.03692 | + | 7.20670i | 0.469807 | + | 0.374658i | ||||
\(371\) | −6.52942 | − | 4.58180i | −0.338990 | − | 0.237875i | ||||
\(372\) | −15.2005 | − | 0.554559i | −0.788110 | − | 0.0287525i | ||||
\(373\) | −6.72804 | −0.348364 | −0.174182 | − | 0.984713i | \(-0.555728\pi\) | ||||
−0.174182 | + | 0.984713i | \(0.555728\pi\) | |||||||
\(374\) | −12.4462 | − | 21.5574i | −0.643577 | − | 1.11471i | ||||
\(375\) | 13.8118 | − | 7.31625i | 0.713239 | − | 0.377810i | ||||
\(376\) | −19.5667 | + | 63.4338i | −1.00908 | + | 3.27135i | ||||
\(377\) | 27.3607 | + | 13.1762i | 1.40915 | + | 0.678609i | ||||
\(378\) | 23.6904 | − | 26.9415i | 1.21850 | − | 1.38572i | ||||
\(379\) | 11.6685 | − | 5.61925i | 0.599370 | − | 0.288641i | −0.109493 | − | 0.993988i | \(-0.534923\pi\) |
0.708863 | + | 0.705346i | \(0.249208\pi\) | |||||||
\(380\) | 13.0861 | + | 86.8209i | 0.671305 | + | 4.45382i | ||||
\(381\) | −9.09372 | − | 33.8120i | −0.465885 | − | 1.73224i | ||||
\(382\) | −18.1052 | + | 16.7991i | −0.926341 | + | 0.859519i | ||||
\(383\) | 7.55460 | + | 3.63810i | 0.386022 | + | 0.185898i | 0.616822 | − | 0.787103i | \(-0.288420\pi\) |
−0.230800 | + | 0.973001i | \(0.574134\pi\) | |||||||
\(384\) | 0.786935 | + | 1.06418i | 0.0401581 | + | 0.0543062i | ||||
\(385\) | 9.36797 | + | 8.93017i | 0.477436 | + | 0.455124i | ||||
\(386\) | −57.2827 | + | 13.0744i | −2.91561 | + | 0.665469i | ||||
\(387\) | 10.2516 | + | 0.749015i | 0.521120 | + | 0.0380746i | ||||
\(388\) | 11.9985 | − | 4.70907i | 0.609133 | − | 0.239067i | ||||
\(389\) | −29.9679 | − | 6.83997i | −1.51943 | − | 0.346800i | −0.620260 | − | 0.784396i | \(-0.712973\pi\) |
−0.899172 | + | 0.437596i | \(0.855830\pi\) | |||||||
\(390\) | −50.8704 | + | 50.9654i | −2.57592 | + | 2.58074i | ||||
\(391\) | −13.2796 | − | 7.66697i | −0.671578 | − | 0.387736i | ||||
\(392\) | −30.0476 | + | 41.6157i | −1.51763 | + | 2.10191i | ||||
\(393\) | 2.40637 | − | 12.7833i | 0.121386 | − | 0.644832i | ||||
\(394\) | −1.66356 | + | 22.1987i | −0.0838092 | + | 1.11836i | ||||
\(395\) | −7.45593 | − | 6.91809i | −0.375149 | − | 0.348087i | ||||
\(396\) | 13.8567 | − | 24.1042i | 0.696324 | − | 1.21128i | ||||
\(397\) | 5.41575 | + | 17.5574i | 0.271809 | + | 0.881182i | 0.983842 | + | 0.179037i | \(0.0572982\pi\) |
−0.712034 | + | 0.702145i | \(0.752226\pi\) | |||||||
\(398\) | 11.1103 | − | 10.3088i | 0.556908 | − | 0.516735i | ||||
\(399\) | −21.1771 | − | 25.2419i | −1.06018 | − | 1.26367i | ||||
\(400\) | −10.0840 | − | 9.35655i | −0.504198 | − | 0.467827i | ||||
\(401\) | −3.34482 | + | 6.94559i | −0.167032 | + | 0.346846i | −0.967637 | − | 0.252347i | \(-0.918798\pi\) |
0.800605 | + | 0.599193i | \(0.204512\pi\) | |||||||
\(402\) | −0.529808 | − | 13.8144i | −0.0264244 | − | 0.688999i | ||||
\(403\) | −10.3223 | + | 4.97096i | −0.514191 | + | 0.247621i | ||||
\(404\) | 0.140525 | − | 0.358051i | 0.00699136 | − | 0.0178137i | ||||
\(405\) | −21.8593 | − | 6.65343i | −1.08620 | − | 0.330612i | ||||
\(406\) | −4.53420 | − | 33.1040i | −0.225028 | − | 1.64293i | ||||
\(407\) | −3.35213 | + | 0.251208i | −0.166159 | + | 0.0124519i | ||||
\(408\) | −55.6177 | − | 29.3284i | −2.75348 | − | 1.45197i | ||||
\(409\) | −5.48470 | − | 2.15259i | −0.271201 | − | 0.106439i | 0.225844 | − | 0.974164i | \(-0.427486\pi\) |
−0.497045 | + | 0.867725i | \(0.665581\pi\) | |||||||
\(410\) | 40.6878 | − | 23.4911i | 2.00943 | − | 1.16014i | ||||
\(411\) | 21.8379 | + | 4.11084i | 1.07718 | + | 0.202773i | ||||
\(412\) | 72.9986 | + | 28.6498i | 3.59638 | + | 1.41148i | ||||
\(413\) | −3.63126 | − | 0.880467i | −0.178683 | − | 0.0433250i | ||||
\(414\) | −0.0452582 | − | 24.2486i | −0.00222432 | − | 1.19175i | ||||
\(415\) | −8.12154 | − | 1.22413i | −0.398671 | − | 0.0600899i | ||||
\(416\) | −57.4775 | − | 27.6797i | −2.81807 | − | 1.35711i | ||||
\(417\) | 6.10103 | − | 2.66863i | 0.298769 | − | 0.130683i | ||||
\(418\) | −28.2650 | − | 22.5406i | −1.38249 | − | 1.10250i | ||||
\(419\) | −2.42991 | − | 6.19131i | −0.118709 | − | 0.302465i | 0.859152 | − | 0.511720i | \(-0.170991\pi\) |
−0.977861 | + | 0.209255i | \(0.932896\pi\) | |||||||
\(420\) | 54.8502 | + | 11.0927i | 2.67641 | + | 0.541268i | ||||
\(421\) | 3.08741 | − | 7.86658i | 0.150471 | − | 0.383394i | −0.835686 | − | 0.549207i | \(-0.814930\pi\) |
0.986157 | + | 0.165813i | \(0.0530250\pi\) | |||||||
\(422\) | 13.3857 | − | 7.72821i | 0.651603 | − | 0.376203i | ||||
\(423\) | −21.2019 | + | 16.9728i | −1.03087 | + | 0.825244i | ||||
\(424\) | −21.8605 | + | 3.29494i | −1.06164 | + | 0.160017i | ||||
\(425\) | −6.83880 | − | 2.10949i | −0.331731 | − | 0.102325i | ||||
\(426\) | 21.1436 | + | 48.3386i | 1.02441 | + | 2.34201i | ||||
\(427\) | 25.6223 | − | 23.1392i | 1.23995 | − | 1.11979i | ||||
\(428\) | 20.0137 | + | 1.49982i | 0.967400 | + | 0.0724966i | ||||
\(429\) | 0.763513 | − | 20.9280i | 0.0368627 | − | 1.01041i | ||||
\(430\) | 9.84931 | + | 20.4523i | 0.474976 | + | 0.986298i | ||||
\(431\) | 2.92172 | − | 9.47197i | 0.140734 | − | 0.456249i | −0.857576 | − | 0.514357i | \(-0.828031\pi\) |
0.998310 | + | 0.0581082i | \(0.0185068\pi\) | |||||||
\(432\) | −1.98713 | − | 49.4050i | −0.0956058 | − | 2.37700i | ||||
\(433\) | 8.54110 | + | 1.94945i | 0.410459 | + | 0.0936846i | 0.422764 | − | 0.906240i | \(-0.361060\pi\) |
−0.0123052 | + | 0.999924i | \(0.503917\pi\) | |||||||
\(434\) | 10.8309 | + | 6.44942i | 0.519901 | + | 0.309582i | ||||
\(435\) | −18.0085 | + | 11.3389i | −0.863439 | + | 0.543659i | ||||
\(436\) | 0.793424 | − | 3.47622i | 0.0379981 | − | 0.166481i | ||||
\(437\) | −22.0215 | − | 3.31920i | −1.05343 | − | 0.158779i | ||||
\(438\) | −3.49046 | − | 30.7210i | −0.166780 | − | 1.46790i | ||||
\(439\) | −17.0074 | − | 1.27453i | −0.811719 | − | 0.0608299i | −0.337599 | − | 0.941290i | \(-0.609615\pi\) |
−0.474120 | + | 0.880460i | \(0.657234\pi\) | |||||||
\(440\) | 35.8704 | 1.71006 | ||||||||
\(441\) | −19.7347 | + | 7.17932i | −0.939746 | + | 0.341872i | ||||
\(442\) | −81.0685 | −3.85604 | ||||||||
\(443\) | 25.7693 | + | 1.93114i | 1.22434 | + | 0.0917513i | 0.671159 | − | 0.741313i | \(-0.265797\pi\) |
0.553176 | + | 0.833064i | \(0.313416\pi\) | |||||||
\(444\) | −11.6865 | + | 8.64185i | −0.554615 | + | 0.410124i | ||||
\(445\) | 14.2173 | + | 2.14291i | 0.673964 | + | 0.101584i | ||||
\(446\) | 14.0554 | − | 61.5808i | 0.665543 | − | 2.91594i | ||||
\(447\) | −0.739505 | − | 19.2821i | −0.0349774 | − | 0.912012i | ||||
\(448\) | 2.69229 | + | 19.6563i | 0.127199 | + | 0.928674i | ||||
\(449\) | 24.0033 | + | 5.47861i | 1.13279 | + | 0.258551i | 0.747511 | − | 0.664250i | \(-0.231249\pi\) |
0.385277 | + | 0.922801i | \(0.374106\pi\) | |||||||
\(450\) | −2.53896 | − | 11.0290i | −0.119688 | − | 0.519912i | ||||
\(451\) | −4.02740 | + | 13.0565i | −0.189643 | + | 0.614807i | ||||
\(452\) | 5.82878 | + | 12.1036i | 0.274163 | + | 0.569304i | ||||
\(453\) | 2.47394 | − | 1.31047i | 0.116236 | − | 0.0615713i | ||||
\(454\) | 52.6551 | + | 3.94596i | 2.47123 | + | 0.185193i | ||||
\(455\) | 40.4416 | − | 11.8801i | 1.89593 | − | 0.556946i | ||||
\(456\) | −90.7540 | − | 10.1398i | −4.24995 | − | 0.474838i | ||||
\(457\) | 19.4901 | + | 6.01189i | 0.911708 | + | 0.281225i | 0.714908 | − | 0.699219i | \(-0.246469\pi\) |
0.196800 | + | 0.980444i | \(0.436945\pi\) | |||||||
\(458\) | −17.3276 | + | 2.61172i | −0.809667 | + | 0.122038i | ||||
\(459\) | −12.0837 | − | 22.7094i | −0.564020 | − | 1.05998i | ||||
\(460\) | 32.7565 | − | 18.9120i | 1.52728 | − | 0.881776i | ||||
\(461\) | 2.55187 | − | 6.50207i | 0.118853 | − | 0.302832i | −0.859050 | − | 0.511891i | \(-0.828945\pi\) |
0.977903 | + | 0.209060i | \(0.0670403\pi\) | |||||||
\(462\) | −19.6623 | + | 12.0132i | −0.914772 | + | 0.558907i | ||||
\(463\) | 3.59416 | + | 9.15777i | 0.167035 | + | 0.425598i | 0.989742 | − | 0.142868i | \(-0.0456324\pi\) |
−0.822707 | + | 0.568466i | \(0.807537\pi\) | |||||||
\(464\) | −36.0039 | − | 28.7121i | −1.67144 | − | 1.33293i | ||||
\(465\) | 0.891472 | − | 7.97895i | 0.0413410 | − | 0.370015i | ||||
\(466\) | −47.6294 | − | 22.9371i | −2.20639 | − | 1.06254i | ||||
\(467\) | −18.0951 | − | 2.72739i | −0.837340 | − | 0.126209i | −0.283646 | − | 0.958929i | \(-0.591544\pi\) |
−0.553694 | + | 0.832720i | \(0.686782\pi\) | |||||||
\(468\) | −45.4206 | − | 78.3328i | −2.09957 | − | 3.62094i | ||||
\(469\) | −3.60903 | + | 7.24285i | −0.166649 | + | 0.334444i | ||||
\(470\) | −55.8319 | − | 21.9124i | −2.57534 | − | 1.01074i | ||||
\(471\) | 10.5939 | + | 30.1852i | 0.488140 | + | 1.39086i | ||||
\(472\) | −8.96837 | + | 5.17789i | −0.412803 | + | 0.238332i | ||||
\(473\) | −6.14545 | − | 2.41191i | −0.282568 | − | 0.110900i | ||||
\(474\) | 15.3234 | − | 9.64826i | 0.703825 | − | 0.443159i | ||||
\(475\) | −10.3650 | + | 0.776751i | −0.475580 | + | 0.0356398i | ||||
\(476\) | 34.7850 | + | 52.5276i | 1.59437 | + | 2.40760i | ||||
\(477\) | −8.15623 | − | 3.90910i | −0.373448 | − | 0.178985i | ||||
\(478\) | 9.33599 | − | 23.7877i | 0.427018 | − | 1.08802i | ||||
\(479\) | 2.58514 | − | 1.24494i | 0.118118 | − | 0.0568826i | −0.373892 | − | 0.927472i | \(-0.621977\pi\) |
0.492010 | + | 0.870590i | \(0.336263\pi\) | |||||||
\(480\) | 37.8310 | − | 23.8201i | 1.72674 | − | 1.08723i | ||||
\(481\) | −4.75003 | + | 9.86355i | −0.216583 | + | 0.449739i | ||||
\(482\) | 12.3334 | + | 11.4438i | 0.561773 | + | 0.521249i | ||||
\(483\) | −6.78931 | + | 12.4649i | −0.308924 | + | 0.567174i | ||||
\(484\) | 25.6952 | − | 23.8417i | 1.16796 | − | 1.08371i | ||||
\(485\) | 2.00535 | + | 6.50120i | 0.0910584 | + | 0.295204i | ||||
\(486\) | 21.4818 | − | 34.5449i | 0.974435 | − | 1.56699i | ||||
\(487\) | −2.19510 | − | 2.03676i | −0.0994695 | − | 0.0922942i | 0.628871 | − | 0.777510i | \(-0.283517\pi\) |
−0.728340 | + | 0.685216i | \(0.759708\pi\) | |||||||
\(488\) | 7.15058 | − | 95.4178i | 0.323691 | − | 4.31936i | ||||
\(489\) | −27.0565 | + | 9.49582i | −1.22354 | + | 0.429416i | ||||
\(490\) | −35.4664 | − | 29.8824i | −1.60221 | − | 1.34995i | ||||
\(491\) | 16.2166 | + | 9.36267i | 0.731846 | + | 0.422531i | 0.819097 | − | 0.573655i | \(-0.194475\pi\) |
−0.0872514 | + | 0.996186i | \(0.527808\pi\) | |||||||
\(492\) | 15.3439 | + | 57.0512i | 0.691756 | + | 2.57206i | ||||
\(493\) | −23.3576 | − | 5.33122i | −1.05197 | − | 0.240106i | ||||
\(494\) | −109.601 | + | 43.0151i | −4.93116 | + | 1.93534i | ||||
\(495\) | 12.1408 | + | 8.24427i | 0.545686 | + | 0.370553i | ||||
\(496\) | 16.9379 | − | 3.86596i | 0.760533 | − | 0.173587i | ||||
\(497\) | 2.72280 | − | 30.7632i | 0.122134 | − | 1.37992i | ||||
\(498\) | 5.83484 | − | 13.4077i | 0.261465 | − | 0.600814i | ||||
\(499\) | −16.5739 | − | 7.98155i | −0.741948 | − | 0.357303i | 0.0244230 | − | 0.999702i | \(-0.492225\pi\) |
−0.766371 | + | 0.642399i | \(0.777939\pi\) | |||||||
\(500\) | −31.8178 | + | 29.5226i | −1.42294 | + | 1.32029i | ||||
\(501\) | 27.6756 | + | 7.38798i | 1.23645 | + | 0.330070i | ||||
\(502\) | 5.12486 | + | 34.0012i | 0.228734 | + | 1.51755i | ||||
\(503\) | −8.58591 | + | 4.13476i | −0.382827 | + | 0.184360i | −0.615392 | − | 0.788221i | \(-0.711002\pi\) |
0.232565 | + | 0.972581i | \(0.425288\pi\) | |||||||
\(504\) | −25.8602 | + | 52.1417i | −1.15191 | + | 2.32257i | ||||
\(505\) | 0.182918 | + | 0.0880886i | 0.00813974 | + | 0.00391989i | ||||
\(506\) | −4.59052 | + | 14.8821i | −0.204074 | + | 0.661591i | ||||
\(507\) | −38.7062 | − | 24.2704i | −1.71900 | − | 1.07789i | ||||
\(508\) | 48.6167 | + | 84.2065i | 2.15702 | + | 3.73606i | ||||
\(509\) | 2.31623 | 0.102665 | 0.0513326 | − | 0.998682i | \(-0.483653\pi\) | ||||
0.0513326 | + | 0.998682i | \(0.483653\pi\) | |||||||
\(510\) | 30.1798 | − | 48.1306i | 1.33639 | − | 2.13126i | ||||
\(511\) | −6.83850 | + | 16.7565i | −0.302517 | + | 0.741265i | ||||
\(512\) | −33.4724 | − | 26.6934i | −1.47929 | − | 1.17969i | ||||
\(513\) | −28.3862 | − | 24.2903i | −1.25328 | − | 1.07244i | ||||
\(514\) | 11.6981 | + | 17.1580i | 0.515983 | + | 0.756808i | ||||
\(515\) | −17.9593 | + | 37.2929i | −0.791381 | + | 1.64332i | ||||
\(516\) | −28.0423 | + | 5.33300i | −1.23449 | + | 0.234772i | ||||
\(517\) | 16.2373 | − | 6.37266i | 0.714114 | − | 0.280269i | ||||
\(518\) | 11.9340 | − | 1.63458i | 0.524352 | − | 0.0718195i | ||||
\(519\) | −0.633803 | + | 17.3726i | −0.0278209 | + | 0.762573i | ||||
\(520\) | 58.4108 | − | 101.170i | 2.56148 | − | 4.43662i | ||||
\(521\) | 20.7646 | − | 35.9653i | 0.909712 | − | 1.57567i | 0.0952479 | − | 0.995454i | \(-0.469636\pi\) |
0.814464 | − | 0.580214i | \(-0.197031\pi\) | |||||||
\(522\) | −11.2349 | − | 36.1828i | −0.491739 | − | 1.58368i | ||||
\(523\) | 4.19846 | + | 4.52486i | 0.183586 | + | 0.197858i | 0.818139 | − | 0.575021i | \(-0.195006\pi\) |
−0.634553 | + | 0.772879i | \(0.718816\pi\) | |||||||
\(524\) | 2.69947 | + | 36.0220i | 0.117927 | + | 1.57363i | ||||
\(525\) | −1.79474 | + | 6.37696i | −0.0783288 | + | 0.278313i | ||||
\(526\) | −0.747859 | + | 9.97949i | −0.0326082 | + | 0.435126i | ||||
\(527\) | 7.06674 | − | 5.63554i | 0.307832 | − | 0.245488i | ||||
\(528\) | −8.19060 | + | 30.6823i | −0.356450 | + | 1.33527i | ||||
\(529\) | −2.98317 | − | 13.0701i | −0.129703 | − | 0.568266i | ||||
\(530\) | −1.49269 | − | 19.9185i | −0.0648382 | − | 0.865206i | ||||
\(531\) | −4.22550 | − | 0.308728i | −0.183371 | − | 0.0133977i | ||||
\(532\) | 74.8988 | + | 52.5578i | 3.24728 | + | 2.27867i | ||||
\(533\) | 30.2670 | + | 32.6200i | 1.31101 | + | 1.41293i | ||||
\(534\) | −10.2143 | + | 23.4711i | −0.442014 | + | 1.01569i | ||||
\(535\) | −1.57887 | + | 10.4751i | −0.0682604 | + | 0.452878i | ||||
\(536\) | 6.61073 | + | 21.4315i | 0.285540 | + | 0.925698i | ||||
\(537\) | −1.18521 | + | 4.43982i | −0.0511454 | + | 0.191592i | ||||
\(538\) | −64.6366 | + | 37.3179i | −2.78668 | + | 1.60889i | ||||
\(539\) | 13.4721 | − | 0.645035i | 0.580285 | − | 0.0277836i | ||||
\(540\) | 63.4154 | + | 2.19507i | 2.72896 | + | 0.0944606i | ||||
\(541\) | 11.9961 | + | 8.17879i | 0.515752 | + | 0.351634i | 0.793056 | − | 0.609148i | \(-0.208489\pi\) |
−0.277304 | + | 0.960782i | \(0.589441\pi\) | |||||||
\(542\) | −14.6968 | + | 64.3909i | −0.631282 | + | 2.76583i | ||||
\(543\) | 9.59800 | − | 8.27535i | 0.411890 | − | 0.355129i | ||||
\(544\) | 49.0681 | + | 11.1995i | 2.10378 | + | 0.480174i | ||||
\(545\) | 1.79842 | + | 0.554739i | 0.0770358 | + | 0.0237624i | ||||
\(546\) | 1.86494 | + | 75.0184i | 0.0798119 | + | 3.21049i | ||||
\(547\) | 12.8735 | − | 3.97096i | 0.550432 | − | 0.169786i | −0.00704945 | − | 0.999975i | \(-0.502244\pi\) |
0.557482 | + | 0.830189i | \(0.311768\pi\) | |||||||
\(548\) | −61.5368 | + | 4.61155i | −2.62872 | + | 0.196995i | ||||
\(549\) | 24.3505 | − | 30.6518i | 1.03925 | − | 1.30819i | ||||
\(550\) | −0.543198 | + | 7.24848i | −0.0231621 | + | 0.309076i | ||||
\(551\) | −34.4071 | + | 5.18603i | −1.46579 | + | 0.220932i | ||||
\(552\) | 10.2172 | + | 37.9892i | 0.434872 | + | 1.61693i | ||||
\(553\) | −10.5795 | + | 0.649565i | −0.449888 | + | 0.0276223i | ||||
\(554\) | 11.2026 | + | 16.4312i | 0.475952 | + | 0.698093i | ||||
\(555\) | −4.08769 | − | 6.49207i | −0.173513 | − | 0.275573i | ||||
\(556\) | −14.4581 | + | 11.5299i | −0.613159 | + | 0.488978i | ||||
\(557\) | 38.8710 | + | 22.4422i | 1.64702 | + | 0.950905i | 0.978249 | + | 0.207434i | \(0.0665111\pi\) |
0.668767 | + | 0.743472i | \(0.266822\pi\) | |||||||
\(558\) | 13.3152 | + | 5.19717i | 0.563677 | + | 0.220014i | ||||
\(559\) | −16.8098 | + | 13.4053i | −0.710978 | + | 0.566986i | ||||
\(560\) | −63.7976 | + | 3.91706i | −2.69594 | + | 0.165526i | ||||
\(561\) | 3.08672 | + | 16.2308i | 0.130322 | + | 0.685265i | ||||
\(562\) | 4.67202 | − | 5.85853i | 0.197077 | − | 0.247127i | ||||
\(563\) | 0.629185 | + | 8.39589i | 0.0265170 | + | 0.353845i | 0.994642 | + | 0.103378i | \(0.0329651\pi\) |
−0.968125 | + | 0.250467i | \(0.919416\pi\) | |||||||
\(564\) | 44.7294 | − | 60.7248i | 1.88345 | − | 2.55697i | ||||
\(565\) | −6.60066 | + | 2.59057i | −0.277692 | + | 0.108986i | ||||
\(566\) | −42.0917 | + | 52.7813i | −1.76924 | + | 2.21856i | ||||
\(567\) | −20.7366 | + | 11.7043i | −0.870857 | + | 0.491536i | ||||
\(568\) | −53.3673 | − | 66.9205i | −2.23924 | − | 2.80792i | ||||
\(569\) | 9.51803 | + | 5.49524i | 0.399017 | + | 0.230372i | 0.686060 | − | 0.727545i | \(-0.259339\pi\) |
−0.287043 | + | 0.957918i | \(0.592672\pi\) | |||||||
\(570\) | 15.2635 | − | 81.0836i | 0.639317 | − | 3.39622i | ||||
\(571\) | 14.9276 | − | 38.0349i | 0.624700 | − | 1.59171i | −0.170497 | − | 0.985358i | \(-0.554537\pi\) |
0.795197 | − | 0.606351i | \(-0.207368\pi\) | |||||||
\(572\) | 12.9410 | + | 56.6980i | 0.541089 | + | 2.37066i | ||||
\(573\) | 15.0190 | − | 6.56942i | 0.627429 | − | 0.274442i | ||||
\(574\) | 11.5372 | − | 47.5822i | 0.481553 | − | 1.98604i | ||||
\(575\) | 1.94278 | + | 4.03423i | 0.0810197 | + | 0.168239i | ||||
\(576\) | 6.67101 | + | 21.4844i | 0.277959 | + | 0.895184i | ||||
\(577\) | −11.0216 | − | 0.825957i | −0.458836 | − | 0.0343850i | −0.156693 | − | 0.987647i | \(-0.550083\pi\) |
−0.302144 | + | 0.953262i | \(0.597702\pi\) | |||||||
\(578\) | 19.1032 | − | 4.36018i | 0.794587 | − | 0.181359i | ||||
\(579\) | 38.7566 | + | 4.33020i | 1.61067 | + | 0.179957i | ||||
\(580\) | 40.1965 | − | 43.3215i | 1.66907 | − | 1.79883i | ||||
\(581\) | −6.76316 | + | 5.24589i | −0.280583 | + | 0.217636i | ||||
\(582\) | −12.1035 | + | 0.464192i | −0.501705 | + | 0.0192414i | ||||
\(583\) | 4.25832 | + | 3.95114i | 0.176362 | + | 0.163640i | ||||
\(584\) | 18.3255 | + | 46.6926i | 0.758314 | + | 1.93215i | ||||
\(585\) | 43.0223 | − | 20.8174i | 1.77875 | − | 0.860695i | ||||
\(586\) | 28.3527 | − | 41.5858i | 1.17124 | − | 1.71789i | ||||
\(587\) | −13.0540 | − | 22.6102i | −0.538796 | − | 0.933222i | −0.998969 | − | 0.0453928i | \(-0.985546\pi\) |
0.460173 | − | 0.887829i | \(-0.347787\pi\) | |||||||
\(588\) | 47.8073 | − | 33.3974i | 1.97154 | − | 1.37729i | ||||
\(589\) | 6.56366 | − | 11.3686i | 0.270451 | − | 0.468435i | ||||
\(590\) | −4.05967 | − | 8.43000i | −0.167134 | − | 0.347058i | ||||
\(591\) | 5.89584 | − | 13.5479i | 0.242522 | − | 0.557286i | ||||
\(592\) | 10.3508 | − | 12.9794i | 0.425413 | − | 0.533451i | ||||
\(593\) | 12.0679 | − | 3.72247i | 0.495571 | − | 0.152863i | −0.0368876 | − | 0.999319i | \(-0.511744\pi\) |
0.532459 | + | 0.846456i | \(0.321268\pi\) | |||||||
\(594\) | −19.7557 | + | 17.0976i | −0.810585 | + | 0.701525i | ||||
\(595\) | −29.0201 | + | 16.2372i | −1.18971 | + | 0.665662i | ||||
\(596\) | 15.7948 | + | 51.2055i | 0.646981 | + | 2.09746i | ||||
\(597\) | −9.21646 | + | 4.03134i | −0.377205 | + | 0.164992i | ||||
\(598\) | 34.4990 | + | 37.1811i | 1.41077 | + | 1.52045i | ||||
\(599\) | 14.0041 | − | 20.5403i | 0.572193 | − | 0.839253i | −0.425651 | − | 0.904888i | \(-0.639955\pi\) |
0.997844 | + | 0.0656346i | \(0.0209072\pi\) | |||||||
\(600\) | 8.59448 | + | 16.2249i | 0.350868 | + | 0.662378i | ||||
\(601\) | −20.7212 | + | 30.3924i | −0.845233 | + | 1.23973i | 0.123678 | + | 0.992322i | \(0.460531\pi\) |
−0.968912 | + | 0.247407i | \(0.920421\pi\) | |||||||
\(602\) | 22.5094 | + | 7.27689i | 0.917414 | + | 0.296584i | ||||
\(603\) | −2.68822 | + | 8.77309i | −0.109473 | + | 0.357268i | ||||
\(604\) | −5.69914 | + | 5.28803i | −0.231895 | + | 0.215167i | ||||
\(605\) | 11.5356 | + | 14.4652i | 0.468988 | + | 0.588092i | ||||
\(606\) | −0.235512 | + | 0.274187i | −0.00956703 | + | 0.0111381i | ||||
\(607\) | − | 24.9894i | − | 1.01429i | −0.861861 | − | 0.507145i | \(-0.830701\pi\) | ||
0.861861 | − | 0.507145i | \(-0.169299\pi\) | |||||||
\(608\) | 72.2801 | − | 10.8945i | 2.93135 | − | 0.441829i | ||||
\(609\) | −4.39603 | + | 21.7371i | −0.178136 | + | 0.880831i | ||||
\(610\) | 85.4874 | + | 12.8852i | 3.46129 | + | 0.521705i | ||||
\(611\) | 8.46677 | − | 56.1733i | 0.342529 | − | 2.27253i | ||||
\(612\) | 48.6869 | + | 52.2760i | 1.96805 | + | 2.11313i | ||||
\(613\) | −28.3602 | + | 19.3357i | −1.14546 | + | 0.780960i | −0.978752 | − | 0.205047i | \(-0.934265\pi\) |
−0.166705 | + | 0.986007i | \(0.553313\pi\) | |||||||
\(614\) | 16.5933 | + | 42.2789i | 0.669649 | + | 1.70624i | ||||
\(615\) | −30.6342 | + | 5.82593i | −1.23529 | + | 0.234924i | ||||
\(616\) | 25.7927 | − | 27.0572i | 1.03922 | − | 1.09016i | ||||
\(617\) | −1.06172 | − | 7.04408i | −0.0427434 | − | 0.283584i | 0.957240 | − | 0.289294i | \(-0.0934205\pi\) |
−0.999984 | + | 0.00571008i | \(0.998182\pi\) | |||||||
\(618\) | −55.9007 | − | 48.0157i | −2.24866 | − | 1.93148i | ||||
\(619\) | 43.0913i | 1.73198i | 0.500057 | + | 0.865992i | \(0.333312\pi\) | ||||
−0.500057 | + | 0.865992i | \(0.666688\pi\) | |||||||
\(620\) | 3.32299 | + | 22.0466i | 0.133454 | + | 0.885412i | ||||
\(621\) | −5.27311 | + | 15.2061i | −0.211603 | + | 0.610200i | ||||
\(622\) | −5.73491 | + | 11.9087i | −0.229949 | + | 0.477494i | ||||
\(623\) | 11.8394 | − | 9.18327i | 0.474334 | − | 0.367920i | ||||
\(624\) | 73.2000 | + | 73.0635i | 2.93035 | + | 2.92488i | ||||
\(625\) | −18.7909 | − | 23.5631i | −0.751637 | − | 0.942523i | ||||
\(626\) | −10.8590 | − | 7.40352i | −0.434012 | − | 0.295904i | ||||
\(627\) | 12.7852 | + | 20.3054i | 0.510591 | + | 0.810920i | ||||
\(628\) | −50.0440 | − | 73.4011i | −1.99697 | − | 2.92902i | ||||
\(629\) | 1.92191 | − | 8.42044i | 0.0766316 | − | 0.335745i | ||||
\(630\) | −45.2329 | − | 26.8203i | −1.80212 | − | 1.06855i | ||||
\(631\) | −5.59865 | − | 24.5293i | −0.222879 | − | 0.976495i | −0.955299 | − | 0.295642i | \(-0.904466\pi\) |
0.732420 | − | 0.680853i | \(-0.238391\pi\) | |||||||
\(632\) | −19.9813 | + | 21.5347i | −0.794813 | + | 0.856605i | ||||
\(633\) | −10.0782 | + | 1.91664i | −0.400572 | + | 0.0761797i | ||||
\(634\) | −5.09968 | + | 1.57304i | −0.202534 | + | 0.0624735i | ||||
\(635\) | −46.2400 | + | 22.2680i | −1.83498 | + | 0.883678i | ||||
\(636\) | 24.6836 | + | 4.64653i | 0.978767 | + | 0.184247i | ||||
\(637\) | 20.1184 | − | 39.0476i | 0.797122 | − | 1.54712i | ||||
\(638\) | 24.3334i | 0.963368i | ||||||||
\(639\) | −2.68211 | − | 34.9157i | −0.106103 | − | 1.38124i | ||||
\(640\) | 1.31955 | − | 1.42214i | 0.0521599 | − | 0.0562150i | ||||
\(641\) | −27.2679 | − | 21.7454i | −1.07702 | − | 0.858893i | −0.0864960 | − | 0.996252i | \(-0.527567\pi\) |
−0.990521 | + | 0.137360i | \(0.956138\pi\) | |||||||
\(642\) | −17.2932 | − | 7.52574i | −0.682508 | − | 0.297017i | ||||
\(643\) | −8.66628 | + | 28.0954i | −0.341765 | + | 1.10797i | 0.607717 | + | 0.794153i | \(0.292085\pi\) |
−0.949482 | + | 0.313821i | \(0.898391\pi\) | |||||||
\(644\) | 9.28826 | − | 38.3070i | 0.366009 | − | 1.50951i | ||||
\(645\) | −1.70092 | − | 14.9705i | −0.0669736 | − | 0.589462i | ||||
\(646\) | 76.7479 | − | 52.3258i | 3.01961 | − | 2.05873i | ||||
\(647\) | 7.69887 | + | 2.37479i | 0.302674 | + | 0.0933625i | 0.442372 | − | 0.896832i | \(-0.354137\pi\) |
−0.139698 | + | 0.990194i | \(0.544613\pi\) | |||||||
\(648\) | −19.2169 | + | 63.1354i | −0.754910 | + | 2.48019i | ||||
\(649\) | 2.53302 | + | 0.994137i | 0.0994298 | + | 0.0390233i | ||||
\(650\) | 19.5594 | + | 13.3353i | 0.767181 | + | 0.523055i | ||||
\(651\) | −5.37753 | − | 6.40972i | −0.210762 | − | 0.251217i | ||||
\(652\) | 65.7931 | − | 44.8570i | 2.57666 | − | 1.75673i | ||||
\(653\) | 19.5665 | − | 4.46594i | 0.765698 | − | 0.174766i | 0.178204 | − | 0.983994i | \(-0.442971\pi\) |
0.587495 | + | 0.809228i | \(0.300114\pi\) | |||||||
\(654\) | −1.78000 | + | 2.83872i | −0.0696033 | + | 0.111003i | ||||
\(655\) | −19.0667 | −0.744999 | ||||||||
\(656\) | −33.7395 | − | 58.4385i | −1.31731 | − | 2.28164i | ||||
\(657\) | −4.52911 | + | 20.0155i | −0.176697 | + | 0.780877i | ||||
\(658\) | −56.6746 | + | 26.3580i | −2.20941 | + | 1.02754i | ||||
\(659\) | 6.02711 | − | 39.9873i | 0.234783 | − | 1.55768i | −0.491864 | − | 0.870672i | \(-0.663684\pi\) |
0.726647 | − | 0.687011i | \(-0.241078\pi\) | |||||||
\(660\) | −38.4794 | − | 13.4242i | −1.49781 | − | 0.522537i | ||||
\(661\) | 32.3873 | − | 2.42709i | 1.25972 | − | 0.0944030i | 0.571924 | − | 0.820306i | \(-0.306197\pi\) |
0.687797 | + | 0.725903i | \(0.258578\pi\) | |||||||
\(662\) | −41.4701 | + | 3.10776i | −1.61178 | + | 0.120786i | ||||
\(663\) | 50.8044 | + | 17.7240i | 1.97308 | + | 0.688344i | ||||
\(664\) | −3.53560 | + | 23.4572i | −0.137208 | + | 0.910314i | ||||
\(665\) | −30.6183 | + | 37.3501i | −1.18732 | + | 1.44837i | ||||
\(666\) | 13.0439 | − | 4.05020i | 0.505442 | − | 0.156942i | ||||
\(667\) | 7.49481 | + | 12.9814i | 0.290200 | + | 0.502641i | ||||
\(668\) | −79.5470 | −3.07777 | ||||||||
\(669\) | −22.2717 | + | 35.5188i | −0.861074 | + | 1.37324i | ||||
\(670\) | −19.7558 | + | 4.50914i | −0.763235 | + | 0.174203i | ||||
\(671\) | −20.7738 | + | 14.1633i | −0.801964 | + | 0.546770i | ||||
\(672\) | 9.23489 | − | 45.6639i | 0.356244 | − | 1.76152i | ||||
\(673\) | −14.3555 | − | 9.78743i | −0.553365 | − | 0.377278i | 0.254114 | − | 0.967174i | \(-0.418216\pi\) |
−0.807479 | + | 0.589897i | \(0.799168\pi\) | |||||||
\(674\) | 42.8402 | + | 16.8135i | 1.65014 | + | 0.647633i | ||||
\(675\) | −0.820143 | + | 7.46680i | −0.0315673 | + | 0.287397i | ||||
\(676\) | 121.235 | + | 37.3960i | 4.66288 | + | 1.43831i | ||||
\(677\) | −34.1635 | + | 23.2923i | −1.31301 | + | 0.895196i | −0.998537 | − | 0.0540699i | \(-0.982781\pi\) |
−0.314474 | + | 0.949266i | \(0.601828\pi\) | |||||||
\(678\) | −1.42514 | − | 12.5433i | −0.0547323 | − | 0.481722i | ||||
\(679\) | 6.34582 | + | 3.16205i | 0.243530 | + | 0.121348i | ||||
\(680\) | −27.1658 | + | 88.0695i | −1.04176 | + | 3.37731i | ||||
\(681\) | −32.1354 | − | 13.9849i | −1.23143 | − | 0.535901i | ||||
\(682\) | −7.17738 | − | 5.72377i | −0.274836 | − | 0.219174i | ||||
\(683\) | 30.4604 | − | 32.8285i | 1.16553 | − | 1.25615i | 0.204761 | − | 0.978812i | \(-0.434358\pi\) |
0.960773 | − | 0.277335i | \(-0.0894513\pi\) | |||||||
\(684\) | 93.5600 | + | 44.8412i | 3.57736 | + | 1.71455i | ||||
\(685\) | − | 32.5719i | − | 1.24451i | ||||||
\(686\) | −48.0425 | + | 5.26545i | −1.83427 | + | 0.201036i | ||||
\(687\) | 11.4300 | + | 2.15162i | 0.436080 | + | 0.0820893i | ||||
\(688\) | 29.3750 | − | 14.1462i | 1.11991 | − | 0.539321i | ||||
\(689\) | 18.0781 | − | 5.57636i | 0.688722 | − | 0.212443i | ||||
\(690\) | −34.9176 | + | 6.64053i | −1.32929 | + | 0.252801i | ||||
\(691\) | 30.5853 | − | 32.9631i | 1.16352 | − | 1.25398i | 0.201957 | − | 0.979394i | \(-0.435270\pi\) |
0.961564 | − | 0.274582i | \(-0.0885395\pi\) | |||||||
\(692\) | −10.7425 | − | 47.0659i | −0.408368 | − | 1.78918i | ||||
\(693\) | 14.9485 | − | 3.22975i | 0.567847 | − | 0.122688i | ||||
\(694\) | −11.1468 | + | 48.8375i | −0.423128 | + | 1.85385i | ||||
\(695\) | −5.49851 | − | 8.06484i | −0.208571 | − | 0.305917i | ||||
\(696\) | 32.7498 | + | 52.0132i | 1.24138 | + | 1.97155i | ||||
\(697\) | −29.0064 | − | 19.7762i | −1.09870 | − | 0.749078i | ||||
\(698\) | −30.0107 | − | 37.6322i | −1.13592 | − | 1.42440i | ||||
\(699\) | 24.8339 | + | 24.7875i | 0.939303 | + | 0.937551i | ||||
\(700\) | 0.247956 | − | 18.3953i | 0.00937187 | − | 0.695276i | ||||
\(701\) | −21.7087 | + | 45.0786i | −0.819927 | + | 1.70260i | −0.114944 | + | 0.993372i | \(0.536669\pi\) |
−0.704983 | + | 0.709224i | \(0.749045\pi\) | |||||||
\(702\) | 16.0531 | + | 83.5612i | 0.605884 | + | 3.15381i | ||||
\(703\) | −1.86957 | − | 12.4038i | −0.0705121 | − | 0.467818i | ||||
\(704\) | − | 14.4485i | − | 0.544550i | ||||||
\(705\) | 30.1983 | + | 25.9387i | 1.13733 | + | 0.976908i | ||||
\(706\) | 6.93782 | + | 46.0295i | 0.261108 | + | 1.73234i | ||||
\(707\) | 0.197973 | − | 0.0746352i | 0.00744553 | − | 0.00280695i | ||||
\(708\) | 11.5584 | − | 2.19815i | 0.434393 | − | 0.0826115i | ||||
\(709\) | 4.72525 | + | 12.0397i | 0.177460 | + | 0.452162i | 0.991733 | − | 0.128322i | \(-0.0409590\pi\) |
−0.814272 | + | 0.580483i | \(0.802864\pi\) | |||||||
\(710\) | 63.8979 | − | 43.5649i | 2.39805 | − | 1.63496i | ||||
\(711\) | −11.7123 | + | 2.69627i | −0.439246 | + | 0.101118i | ||||
\(712\) | 6.18929 | − | 41.0633i | 0.231954 | − | 1.53891i | ||||
\(713\) | −5.59194 | − | 0.842850i | −0.209420 | − | 0.0315650i | ||||
\(714\) | −14.6042 | − | 57.3731i | −0.546548 | − | 2.14713i | ||||
\(715\) | −30.3536 | + | 4.57507i | −1.13516 | + | 0.171098i | ||||
\(716\) | − | 12.7612i | − | 0.476910i | ||||||
\(717\) | −11.0514 | + | 12.8663i | −0.412723 | + | 0.480499i | ||||
\(718\) | −38.3841 | − | 48.1321i | −1.43248 | − | 1.79628i | ||||
\(719\) | 28.5095 | − | 26.4529i | 1.06322 | − | 0.986528i | 0.0632902 | − | 0.997995i | \(-0.479841\pi\) |
0.999934 | + | 0.0114670i | \(0.00365014\pi\) | |||||||
\(720\) | −70.6286 | + | 16.2593i | −2.63217 | + | 0.605947i | ||||
\(721\) | 15.2165 | + | 40.3622i | 0.566691 | + | 1.50317i | ||||
\(722\) | 48.0646 | − | 70.4978i | 1.78878 | − | 2.62366i | ||||
\(723\) | −5.22722 | − | 9.86809i | −0.194403 | − | 0.366998i | ||||
\(724\) | −19.8249 | + | 29.0778i | −0.736788 | + | 1.08067i | ||||
\(725\) | 4.75852 | + | 5.12846i | 0.176727 | + | 0.190466i | ||||
\(726\) | −30.1783 | + | 13.2002i | −1.12002 | + | 0.489905i | ||||
\(727\) | −0.957609 | − | 3.10449i | −0.0355157 | − | 0.115139i | 0.936079 | − | 0.351789i | \(-0.114427\pi\) |
−0.971595 | + | 0.236650i | \(0.923950\pi\) | |||||||
\(728\) | −34.3128 | − | 116.806i | −1.27172 | − | 4.32912i | ||||
\(729\) | −21.0149 | + | 16.9522i | −0.778328 | + | 0.627858i | ||||
\(730\) | −43.3068 | + | 13.3584i | −1.60285 | + | 0.494415i | ||||
\(731\) | 10.5759 | − | 13.2617i | 0.391163 | − | 0.490503i | ||||
\(732\) | −43.3800 | + | 99.6816i | −1.60337 | + | 3.68434i | ||||
\(733\) | −2.08497 | − | 4.32949i | −0.0770102 | − | 0.159913i | 0.858909 | − | 0.512128i | \(-0.171143\pi\) |
−0.935919 | + | 0.352215i | \(0.885429\pi\) | |||||||
\(734\) | 13.1598 | − | 22.7934i | 0.485736 | − | 0.841319i | ||||
\(735\) | 15.6931 | + | 26.4808i | 0.578847 | + | 0.976761i | ||||
\(736\) | −15.7446 | − | 27.2705i | −0.580354 | − | 1.00520i | ||||
\(737\) | 3.31977 | − | 4.86921i | 0.122285 | − | 0.179360i | ||||
\(738\) | 4.04542 | − | 55.3689i | 0.148914 | − | 2.03816i | ||||
\(739\) | 8.19839 | + | 20.8892i | 0.301583 | + | 0.768420i | 0.998676 | + | 0.0514400i | \(0.0163811\pi\) |
−0.697093 | + | 0.716980i | \(0.745524\pi\) | |||||||
\(740\) | 15.6174 | + | 14.4909i | 0.574109 | + | 0.532695i | ||||
\(741\) | 78.0893 | − | 2.99488i | 2.86868 | − | 0.110020i | ||||
\(742\) | −16.0979 | − | 13.1965i | −0.590973 | − | 0.484459i | ||||
\(743\) | 32.8656 | − | 35.4207i | 1.20572 | − | 1.29946i | 0.263428 | − | 0.964679i | \(-0.415147\pi\) |
0.942296 | − | 0.334782i | \(-0.108663\pi\) | |||||||
\(744\) | −23.0453 | − | 2.57481i | −0.844883 | − | 0.0943970i | ||||
\(745\) | −27.5752 | + | 6.29385i | −1.01028 | + | 0.230589i | ||||
\(746\) | −17.5083 | − | 1.31207i | −0.641024 | − | 0.0480381i | ||||
\(747\) | −6.58793 | + | 7.12673i | −0.241040 | + | 0.260753i | ||||
\(748\) | −19.9071 | − | 41.3375i | −0.727875 | − | 1.51145i | ||||
\(749\) | 6.76612 | + | 8.72309i | 0.247229 | + | 0.318735i | ||||
\(750\) | 37.3691 | − | 16.3455i | 1.36453 | − | 0.596854i | ||||
\(751\) | 11.3573 | + | 49.7595i | 0.414433 | + | 1.81575i | 0.562528 | + | 0.826778i | \(0.309829\pi\) |
−0.148095 | + | 0.988973i | \(0.547314\pi\) | |||||||
\(752\) | −31.4721 | + | 80.1896i | −1.14767 | + | 2.92421i | ||||
\(753\) | 4.22202 | − | 22.4285i | 0.153859 | − | 0.817339i | ||||
\(754\) | 68.6308 | + | 39.6240i | 2.49939 | + | 1.44302i | ||||
\(755\) | −2.55857 | − | 3.20834i | −0.0931157 | − | 0.116763i | ||||
\(756\) | 47.2547 | − | 46.2560i | 1.71864 | − | 1.68232i | ||||
\(757\) | 0.135287 | − | 0.169644i | 0.00491709 | − | 0.00616583i | −0.779367 | − | 0.626568i | \(-0.784459\pi\) |
0.784284 | + | 0.620402i | \(0.213031\pi\) | |||||||
\(758\) | 31.4606 | − | 12.3474i | 1.14270 | − | 0.448477i | ||||
\(759\) | 6.13049 | − | 8.32276i | 0.222523 | − | 0.302097i | ||||
\(760\) | 10.0029 | + | 133.480i | 0.362844 | + | 4.84182i | ||||
\(761\) | 26.9801 | − | 33.8320i | 0.978027 | − | 1.22641i | 0.00399655 | − | 0.999992i | \(-0.498728\pi\) |
0.974031 | − | 0.226416i | \(-0.0727007\pi\) | |||||||
\(762\) | −17.0707 | − | 89.7620i | −0.618405 | − | 3.25173i | ||||
\(763\) | 1.71160 | − | 0.957667i | 0.0619639 | − | 0.0346699i | ||||
\(764\) | −35.5918 | + | 28.3835i | −1.28766 | + | 1.02688i | ||||
\(765\) | −29.4360 | + | 23.5645i | −1.06426 | + | 0.851975i | ||||
\(766\) | 18.9498 | + | 10.9407i | 0.684683 | + | 0.395302i | ||||
\(767\) | 6.92863 | − | 5.52540i | 0.250178 | − | 0.199511i | ||||
\(768\) | 15.6811 | + | 24.9048i | 0.565844 | + | 0.898673i | ||||
\(769\) | 6.23106 | + | 9.13929i | 0.224698 | + | 0.329571i | 0.921988 | − | 0.387217i | \(-0.126564\pi\) |
−0.697291 | + | 0.716789i | \(0.745611\pi\) | |||||||
\(770\) | 22.6367 | + | 25.0658i | 0.815769 | + | 0.903308i | ||||
\(771\) | −3.57978 | − | 13.3102i | −0.128923 | − | 0.479356i | ||||
\(772\) | −107.088 | + | 16.1409i | −3.85418 | + | 0.580925i | ||||
\(773\) | −3.95425 | + | 52.7658i | −0.142225 | + | 1.89785i | 0.235405 | + | 0.971897i | \(0.424358\pi\) |
−0.377629 | + | 0.925957i | \(0.623261\pi\) | |||||||
\(774\) | 26.5317 | + | 3.94837i | 0.953661 | + | 0.141921i | ||||
\(775\) | −2.63201 | + | 0.197242i | −0.0945445 | + | 0.00708513i | ||||
\(776\) | 18.7772 | − | 5.79199i | 0.674062 | − | 0.207920i | ||||
\(777\) | −7.83624 | − | 1.58477i | −0.281124 | − | 0.0568534i | ||||
\(778\) | −76.6512 | − | 23.6438i | −2.74808 | − | 0.847670i | ||||
\(779\) | −49.7085 | − | 11.3456i | −1.78099 | − | 0.406500i | ||||
\(780\) | −100.521 | + | 86.6690i | −3.59924 | + | 3.10325i | ||||
\(781\) | −5.00475 | + | 21.9272i | −0.179084 | + | 0.784618i | ||||
\(782\) | −33.0622 | − | 22.5414i | −1.18230 | − | 0.806079i | ||||
\(783\) | −0.869903 | + | 25.1315i | −0.0310878 | + | 0.898126i | ||||
\(784\) | −42.9191 | + | 50.9393i | −1.53283 | + | 1.81926i | ||||
\(785\) | 40.6088 | − | 23.4455i | 1.44939 | − | 0.836806i | ||||
\(786\) | 8.75501 | − | 32.7965i | 0.312281 | − | 1.16981i | ||||
\(787\) | 4.79139 | + | 15.5333i | 0.170795 | + | 0.553702i | 0.999986 | − | 0.00526205i | \(-0.00167497\pi\) |
−0.829192 | + | 0.558965i | \(0.811199\pi\) | |||||||
\(788\) | −6.11536 | + | 40.5728i | −0.217851 | + | 1.44534i | ||||
\(789\) | 2.65049 | − | 6.09048i | 0.0943598 | − | 0.216827i | ||||
\(790\) | −18.0534 | − | 19.4569i | −0.642310 | − | 0.692246i | ||||
\(791\) | −2.79214 | + | 6.84165i | −0.0992771 | + | 0.243261i | ||||
\(792\) | 23.8116 | − | 35.0657i | 0.846110 | − | 1.24601i | ||||
\(793\) | 6.11917 | + | 81.6546i | 0.217298 | + | 2.89964i | ||||
\(794\) | 10.6694 | + | 46.7457i | 0.378643 | + | 1.65894i | ||||
\(795\) | −3.41935 | + | 12.8090i | −0.121272 | + | 0.454287i | ||||
\(796\) | 21.8410 | − | 17.4176i | 0.774133 | − | 0.617350i | ||||
\(797\) | 2.67552 | − | 35.7023i | 0.0947716 | − | 1.26464i | −0.723709 | − | 0.690105i | \(-0.757564\pi\) |
0.818481 | − | 0.574534i | \(-0.194817\pi\) | |||||||
\(798\) | −50.1864 | − | 69.8166i | −1.77658 | − | 2.47148i | ||||
\(799\) | 3.34921 | + | 44.6921i | 0.118487 | + | 1.58109i | ||||
\(800\) | −9.99639 | − | 10.7735i | −0.353426 | − | 0.380902i | ||||
\(801\) | 11.5326 | − | 12.4758i | 0.407484 | − | 0.440811i | ||||
\(802\) | −10.0587 | + | 17.4221i | −0.355184 | + | 0.615197i | ||||
\(803\) | 6.59010 | − | 11.4144i | 0.232560 | − | 0.402805i | ||||
\(804\) | 0.929008 | − | 25.4642i | 0.0327636 | − | 0.898054i | ||||
\(805\) | 19.7966 | + | 6.39990i | 0.697739 | + | 0.225567i | ||||
\(806\) | −27.8311 | + | 10.9229i | −0.980307 | + | 0.384742i | ||||
\(807\) | 48.6655 | − | 9.25507i | 1.71311 | − | 0.325794i | ||||
\(808\) | 0.254423 | − | 0.528315i | 0.00895057 | − | 0.0185861i | ||||
\(809\) | 23.7964 | + | 34.9029i | 0.836636 | + | 1.22712i | 0.971685 | + | 0.236281i | \(0.0759286\pi\) |
−0.135048 | + | 0.990839i | \(0.543119\pi\) | |||||||
\(810\) | −55.5866 | − | 21.5770i | −1.95312 | − | 0.758140i | ||||
\(811\) | −38.2334 | − | 30.4901i | −1.34256 | − | 1.07065i | −0.990911 | − | 0.134519i | \(-0.957051\pi\) |
−0.351645 | − | 0.936133i | \(-0.614378\pi\) | |||||||
\(812\) | −3.77420 | − | 61.4707i | −0.132448 | − | 2.15720i | ||||
\(813\) | 23.2881 | − | 37.1396i | 0.816748 | − | 1.30254i | ||||
\(814\) | −8.77221 | −0.307466 | ||||||||
\(815\) | 21.0154 | + | 36.3997i | 0.736136 | + | 1.27503i | ||||
\(816\) | −69.1284 | − | 43.3463i | −2.41998 | − | 1.51742i | ||||
\(817\) | 7.26138 | − | 23.5408i | 0.254043 | − | 0.823589i | ||||
\(818\) | −13.8530 | − | 6.67125i | −0.484359 | − | 0.233255i | ||||
\(819\) | 15.2326 | − | 47.4206i | 0.532269 | − | 1.65701i | ||||
\(820\) | 78.0210 | − | 37.5729i | 2.72461 | − | 1.31210i | ||||
\(821\) | −3.99321 | − | 26.4932i | −0.139364 | − | 0.924619i | −0.943785 | − | 0.330560i | \(-0.892762\pi\) |
0.804421 | − | 0.594060i | \(-0.202476\pi\) | |||||||
\(822\) | 56.0268 | + | 14.9563i | 1.95416 | + | 0.521661i | ||||
\(823\) | −11.1469 | + | 10.3429i | −0.388558 | + | 0.360529i | −0.850129 | − | 0.526574i | \(-0.823476\pi\) |
0.461571 | + | 0.887103i | \(0.347286\pi\) | |||||||
\(824\) | 107.712 | + | 51.8712i | 3.75232 | + | 1.80702i | ||||
\(825\) | 1.92515 | − | 4.42375i | 0.0670251 | − | 0.154015i | ||||
\(826\) | −9.27789 | − | 2.99938i | −0.322819 | − | 0.104362i | ||||
\(827\) | −2.32444 | + | 0.530538i | −0.0808286 | + | 0.0184486i | −0.262744 | − | 0.964866i | \(-0.584627\pi\) |
0.181915 | + | 0.983314i | \(0.441770\pi\) | |||||||
\(828\) | 3.25685 | − | 44.5759i | 0.113183 | − | 1.54912i | ||||
\(829\) | 19.5116 | − | 7.65774i | 0.677666 | − | 0.265964i | −0.00144623 | − | 0.999999i | \(-0.500460\pi\) |
0.679112 | + | 0.734035i | \(0.262365\pi\) | |||||||
\(830\) | −20.8959 | − | 4.76935i | −0.725307 | − | 0.165546i | ||||
\(831\) | −3.42813 | − | 12.7464i | −0.118921 | − | 0.442167i | ||||
\(832\) | −40.7512 | − | 23.5277i | −1.41280 | − | 0.815678i | ||||
\(833\) | −8.61916 | + | 33.5654i | −0.298636 | + | 1.16297i | ||||
\(834\) | 16.3971 | − | 5.75476i | 0.567784 | − | 0.199271i | ||||
\(835\) | 3.13770 | − | 41.8698i | 0.108585 | − | 1.44896i | ||||
\(836\) | −48.8471 | − | 45.3235i | −1.68941 | − | 1.56755i | ||||
\(837\) | −7.20816 | − | 6.16809i | −0.249151 | − | 0.213200i | ||||
\(838\) | −5.11593 | − | 16.5854i | −0.176727 | − | 0.572935i | ||||
\(839\) | −11.2422 | + | 10.4312i | −0.388124 | + | 0.360127i | −0.849968 | − | 0.526835i | \(-0.823379\pi\) |
0.461844 | + | 0.886961i | \(0.347188\pi\) | |||||||
\(840\) | 82.1219 | + | 23.1125i | 2.83348 | + | 0.797457i | ||||
\(841\) | −4.09022 | − | 3.79517i | −0.141042 | − | 0.130868i | ||||
\(842\) | 9.56843 | − | 19.8690i | 0.329750 | − | 0.684732i | ||||
\(843\) | −4.20873 | + | 2.65000i | −0.144956 | + | 0.0912709i | ||||
\(844\) | 25.6677 | − | 12.3609i | 0.883519 | − | 0.425480i | ||||
\(845\) | −24.4655 | + | 62.3372i | −0.841640 | + | 2.14446i | ||||
\(846\) | −58.4834 | + | 40.0334i | −2.01070 | + | 1.37638i | ||||
\(847\) | 19.2058 | + | 1.69987i | 0.659918 | + | 0.0584083i | ||||
\(848\) | −28.6083 | + | 2.14390i | −0.982414 | + | 0.0736218i | ||||
\(849\) | 37.9178 | − | 23.8747i | 1.30133 | − | 0.819377i | ||||
\(850\) | −17.3852 | − | 6.82317i | −0.596306 | − | 0.234033i | ||||
\(851\) | −4.67980 | + | 2.70189i | −0.160422 | + | 0.0926195i | ||||
\(852\) | 32.2044 | + | 91.7601i | 1.10330 | + | 3.14365i | ||||
\(853\) | 3.55748 | + | 1.39621i | 0.121806 | + | 0.0478052i | 0.425461 | − | 0.904977i | \(-0.360112\pi\) |
−0.303655 | + | 0.952782i | \(0.598207\pi\) | |||||||
\(854\) | 71.1892 | − | 55.2183i | 2.43604 | − | 1.88953i | ||||
\(855\) | −27.2927 | + | 47.4768i | −0.933390 | + | 1.62367i | ||||
\(856\) | 30.2549 | + | 4.56019i | 1.03409 | + | 0.155864i | ||||
\(857\) | −22.6445 | − | 10.9050i | −0.773522 | − | 0.372509i | 0.00511205 | − | 0.999987i | \(-0.498373\pi\) |
−0.778634 | + | 0.627478i | \(0.784087\pi\) | |||||||
\(858\) | 6.06814 | − | 54.3118i | 0.207163 | − | 1.85417i | ||||
\(859\) | −13.9319 | − | 11.1103i | −0.475349 | − | 0.379079i | 0.356307 | − | 0.934369i | \(-0.384036\pi\) |
−0.831657 | + | 0.555290i | \(0.812607\pi\) | |||||||
\(860\) | 15.2862 | + | 38.9486i | 0.521255 | + | 1.32814i | ||||
\(861\) | −17.6331 | + | 27.2966i | −0.600934 | + | 0.930267i | ||||
\(862\) | 9.45033 | − | 24.0790i | 0.321879 | − | 0.820135i | ||||
\(863\) | 11.3877 | − | 6.57469i | 0.387641 | − | 0.223805i | −0.293496 | − | 0.955960i | \(-0.594819\pi\) |
0.681138 | + | 0.732155i | \(0.261485\pi\) | |||||||
\(864\) | 1.82744 | − | 52.7946i | 0.0621707 | − | 1.79611i | ||||
\(865\) | 25.1970 | − | 3.79783i | 0.856722 | − | 0.129130i | ||||
\(866\) | 21.8463 | + | 6.73868i | 0.742366 | + | 0.228990i | ||||
\(867\) | −12.9249 | − | 1.44408i | −0.438953 | − | 0.0490434i | ||||
\(868\) | 19.0192 | + | 13.3461i | 0.645553 | + | 0.452996i | ||||
\(869\) | 7.69756 | + | 0.576852i | 0.261122 | + | 0.0195684i | ||||
\(870\) | −49.0745 | + | 25.9952i | −1.66378 | + | 0.881321i | ||||
\(871\) | −8.32746 | − | 17.2922i | −0.282165 | − | 0.585922i | ||||
\(872\) | 1.60223 | − | 5.19431i | 0.0542584 | − | 0.175902i | ||||
\(873\) | 7.68655 | + | 2.35528i | 0.260150 | + | 0.0797143i | ||||
\(874\) | −56.6589 | − | 12.9320i | −1.91652 | − | 0.437432i | ||||
\(875\) | −23.7821 | − | 2.10491i | −0.803981 | − | 0.0711591i | ||||
\(876\) | −2.18402 | − | 56.9468i | −0.0737911 | − | 1.92405i | ||||
\(877\) | −11.8694 | + | 52.0031i | −0.400800 | + | 1.75602i | 0.223370 | + | 0.974734i | \(0.428294\pi\) |
−0.624171 | + | 0.781288i | \(0.714563\pi\) | |||||||
\(878\) | −44.0096 | − | 6.63339i | −1.48525 | − | 0.223866i | ||||
\(879\) | −26.8601 | + | 19.8624i | −0.905968 | + | 0.669942i | ||||
\(880\) | 46.4185 | + | 3.47858i | 1.56477 | + | 0.117263i | ||||
\(881\) | 20.5627 | 0.692776 | 0.346388 | − | 0.938091i | \(-0.387408\pi\) | ||||
0.346388 | + | 0.938091i | \(0.387408\pi\) | |||||||
\(882\) | −52.7554 | + | 14.8341i | −1.77637 | + | 0.499491i | ||||
\(883\) | −12.4858 | −0.420181 | −0.210091 | − | 0.977682i | \(-0.567376\pi\) | ||||
−0.210091 | + | 0.977682i | \(0.567376\pi\) | |||||||
\(884\) | −149.006 | − | 11.1665i | −5.01162 | − | 0.375569i | ||||
\(885\) | 0.701082 | + | 6.17051i | 0.0235666 | + | 0.207420i | ||||
\(886\) | 66.6826 | + | 10.0508i | 2.24024 | + | 0.337663i | ||||
\(887\) | −1.17303 | + | 5.13939i | −0.0393865 | + | 0.172564i | −0.990796 | − | 0.135366i | \(-0.956779\pi\) |
0.951409 | + | 0.307930i | \(0.0996361\pi\) | |||||||
\(888\) | −18.7508 | + | 11.8063i | −0.629236 | + | 0.396195i | ||||
\(889\) | −16.4521 | + | 50.8908i | −0.551786 | + | 1.70682i | ||||
\(890\) | 36.5796 | + | 8.34905i | 1.22615 | + | 0.279861i | ||||
\(891\) | 16.1186 | − | 6.39563i | 0.539994 | − | 0.214262i | ||||
\(892\) | 34.3165 | − | 111.251i | 1.14900 | − | 3.72497i | ||||
\(893\) | 28.2417 | + | 58.6444i | 0.945072 | + | 1.96246i | ||||
\(894\) | 1.83589 | − | 50.3218i | 0.0614012 | − | 1.68301i | ||||
\(895\) | 6.71690 | + | 0.503362i | 0.224521 | + | 0.0168255i | ||||
\(896\) | −0.123898 | − | 2.01793i | −0.00413913 | − | 0.0674144i | ||||
\(897\) | −13.4911 | − | 30.8433i | −0.450454 | − | 1.02983i | ||||
\(898\) | 61.3952 | + | 18.9379i | 2.04879 | + | 0.631967i | ||||
\(899\) | −8.73704 | + | 1.31690i | −0.291397 | + | 0.0439210i | ||||
\(900\) | −3.14754 | − | 20.6213i | −0.104918 | − | 0.687378i | ||||
\(901\) | −12.9258 | + | 7.46274i | −0.430622 | + | 0.248620i | ||||
\(902\) | −13.0267 | + | 33.1914i | −0.433741 | + | 1.10515i | ||||
\(903\) | −12.5153 | − | 9.48154i | −0.416484 | − | 0.315526i | ||||
\(904\) | 7.48225 | + | 19.0644i | 0.248856 | + | 0.634074i | ||||
\(905\) | −14.5232 | − | 11.5819i | −0.482767 | − | 0.384994i | ||||
\(906\) | 6.69348 | − | 2.92777i | 0.222376 | − | 0.0972688i | ||||
\(907\) | 46.8844 | + | 22.5783i | 1.55677 | + | 0.749701i | 0.996885 | − | 0.0788692i | \(-0.0251309\pi\) |
0.559885 | + | 0.828570i | \(0.310845\pi\) | |||||||
\(908\) | 96.2381 | + | 14.5056i | 3.19377 | + | 0.481384i | ||||
\(909\) | 0.207537 | − | 0.120339i | 0.00688358 | − | 0.00399139i | ||||
\(910\) | 107.558 | − | 23.0287i | 3.56550 | − | 0.763393i | ||||
\(911\) | 29.5333 | + | 11.5910i | 0.978483 | + | 0.384026i | 0.800055 | − | 0.599927i | \(-0.204804\pi\) |
0.178428 | + | 0.983953i | \(0.442899\pi\) | |||||||
\(912\) | −116.458 | − | 21.9224i | −3.85630 | − | 0.725925i | ||||
\(913\) | 5.39820 | − | 3.11665i | 0.178654 | − | 0.103146i | ||||
\(914\) | 49.5464 | + | 19.4455i | 1.63885 | + | 0.643202i | ||||
\(915\) | −50.7565 | − | 26.7650i | −1.67796 | − | 0.884825i | ||||
\(916\) | −32.2084 | + | 2.41369i | −1.06420 | + | 0.0797505i | ||||
\(917\) | −13.7100 | + | 14.3821i | −0.452743 | + | 0.474938i | ||||
\(918\) | −27.0167 | − | 61.4530i | −0.891684 | − | 2.02825i | ||||
\(919\) | 3.98363 | − | 10.1501i | 0.131408 | − | 0.334822i | −0.849992 | − | 0.526795i | \(-0.823393\pi\) |
0.981400 | + | 0.191973i | \(0.0614887\pi\) | |||||||
\(920\) | 51.9525 | − | 25.0190i | 1.71282 | − | 0.824852i | ||||
\(921\) | −1.15529 | − | 30.1233i | −0.0380680 | − | 0.992597i | ||||
\(922\) | 7.90872 | − | 16.4226i | 0.260460 | − | 0.540850i | ||||
\(923\) | 53.6948 | + | 49.8215i | 1.76739 | + | 1.63989i | ||||
\(924\) | −37.7946 | + | 19.3724i | −1.24335 | + | 0.637305i | ||||
\(925\) | −1.84882 | + | 1.71545i | −0.0607887 | + | 0.0564037i | ||||
\(926\) | 7.56715 | + | 24.5321i | 0.248672 | + | 0.806175i | ||||
\(927\) | 24.5344 | + | 42.3123i | 0.805816 | + | 1.38972i | ||||
\(928\) | −36.0660 | − | 33.4644i | −1.18393 | − | 1.09852i | ||||
\(929\) | 1.00854 | − | 13.4580i | 0.0330890 | − | 0.441543i | −0.955914 | − | 0.293647i | \(-0.905131\pi\) |
0.989003 | − | 0.147896i | \(-0.0472500\pi\) | |||||||
\(930\) | 3.87588 | − | 20.5897i | 0.127095 | − | 0.675163i | ||||
\(931\) | 6.15715 | + | 49.9520i | 0.201792 | + | 1.63711i | ||||
\(932\) | −84.3848 | − | 48.7196i | −2.76412 | − | 1.59586i | ||||
\(933\) | 6.19757 | − | 6.20915i | 0.202899 | − | 0.203278i | ||||
\(934\) | −46.5567 | − | 10.6263i | −1.52338 | − | 0.347702i | ||||
\(935\) | 22.5433 | − | 8.84760i | 0.737245 | − | 0.289347i | ||||
\(936\) | −60.1263 | − | 124.260i | −1.96529 | − | 4.06155i | ||||
\(937\) | 32.2165 | − | 7.35321i | 1.05247 | − | 0.240219i | 0.338913 | − | 0.940818i | \(-0.389941\pi\) |
0.713555 | + | 0.700599i | \(0.247084\pi\) | |||||||
\(938\) | −10.8042 | + | 18.1442i | −0.352770 | + | 0.592429i | ||||
\(939\) | 5.18651 | + | 7.01376i | 0.169255 | + | 0.228886i | ||||
\(940\) | −99.6024 | − | 47.9660i | −3.24867 | − | 1.56448i | ||||
\(941\) | −18.1894 | + | 16.8773i | −0.592958 | + | 0.550185i | −0.918540 | − | 0.395329i | \(-0.870631\pi\) |
0.325581 | + | 0.945514i | \(0.394440\pi\) | |||||||
\(942\) | 21.6818 | + | 80.6165i | 0.706431 | + | 2.62663i | ||||
\(943\) | 3.27365 | + | 21.7193i | 0.106605 | + | 0.707277i | ||||
\(944\) | −12.1077 | + | 5.83078i | −0.394073 | + | 0.189776i | ||||
\(945\) | 22.4830 | + | 26.6971i | 0.731373 | + | 0.868458i | ||||
\(946\) | −15.5219 | − | 7.47494i | −0.504660 | − | 0.243031i | ||||
\(947\) | 11.0381 | − | 35.7845i | 0.358689 | − | 1.16284i | −0.578989 | − | 0.815335i | \(-0.696553\pi\) |
0.937678 | − | 0.347506i | \(-0.112971\pi\) | |||||||
\(948\) | 29.4937 | − | 15.6231i | 0.957912 | − | 0.507416i | ||||
\(949\) | −21.4624 | − | 37.1740i | −0.696699 | − | 1.20672i | ||||
\(950\) | −27.1243 | −0.880027 | ||||||||
\(951\) | 3.53980 | + | 0.129142i | 0.114786 | + | 0.00418772i | ||||
\(952\) | 46.8974 | + | 83.8178i | 1.51995 | + | 2.71655i | ||||
\(953\) | 4.08484 | + | 3.25755i | 0.132321 | + | 0.105522i | 0.687414 | − | 0.726266i | \(-0.258746\pi\) |
−0.555093 | + | 0.831788i | \(0.687317\pi\) | |||||||
\(954\) | −20.4625 | − | 11.7632i | −0.662499 | − | 0.380847i | ||||
\(955\) | −13.5358 | − | 19.8534i | −0.438008 | − | 0.642440i | ||||
\(956\) | 20.4364 | − | 42.4366i | 0.660959 | − | 1.37250i | ||||
\(957\) | 5.32001 | − | 15.2493i | 0.171971 | − | 0.492941i | ||||
\(958\) | 6.97006 | − | 2.73555i | 0.225192 | − | 0.0883815i | ||||
\(959\) | −24.5691 | − | 23.4209i | −0.793378 | − | 0.756300i | ||||
\(960\) | 29.1392 | − | 15.4353i | 0.940463 | − | 0.498172i | ||||
\(961\) | −13.8333 | + | 23.9599i | −0.446235 | + | 0.772901i | ||||
\(962\) | −14.2845 | + | 24.7415i | −0.460551 | + | 0.797698i | ||||
\(963\) | 9.19201 | + | 8.49707i | 0.296208 | + | 0.273814i | ||||
\(964\) | 21.0929 | + | 22.7328i | 0.679358 | + | 0.732174i | ||||
\(965\) | −4.27176 | − | 57.0027i | −0.137513 | − | 1.83498i | ||||
\(966\) | −20.0986 | + | 31.1133i | −0.646661 | + | 1.00105i | ||||
\(967\) | 1.32086 | − | 17.6256i | 0.0424758 | − | 0.566801i | −0.934848 | − | 0.355049i | \(-0.884464\pi\) |
0.977324 | − | 0.211752i | \(-0.0679168\pi\) | |||||||
\(968\) | 41.7792 | − | 33.3178i | 1.34283 | − | 1.07087i | ||||
\(969\) | −59.5367 | + | 16.0124i | −1.91259 | + | 0.514392i | ||||
\(970\) | 3.95068 | + | 17.3091i | 0.126849 | + | 0.555761i | ||||
\(971\) | −1.65033 | − | 22.0221i | −0.0529615 | − | 0.706722i | −0.958978 | − | 0.283480i | \(-0.908511\pi\) |
0.906017 | − | 0.423242i | \(-0.139108\pi\) | |||||||
\(972\) | 44.2424 | − | 60.5355i | 1.41908 | − | 1.94168i | ||||
\(973\) | −10.0370 | − | 1.65149i | −0.321773 | − | 0.0529443i | ||||
\(974\) | −5.31509 | − | 5.72831i | −0.170307 | − | 0.183547i | ||||
\(975\) | −9.34204 | − | 12.6333i | −0.299185 | − | 0.404590i | ||||
\(976\) | 18.5065 | − | 122.783i | 0.592380 | − | 3.93018i | ||||
\(977\) | 8.76120 | + | 28.4031i | 0.280296 | + | 0.908696i | 0.980795 | + | 0.195043i | \(0.0624845\pi\) |
−0.700499 | + | 0.713653i | \(0.747039\pi\) | |||||||
\(978\) | −72.2607 | + | 19.4345i | −2.31064 | + | 0.621446i | ||||
\(979\) | −9.44990 | + | 5.45590i | −0.302020 | + | 0.174371i | ||||
\(980\) | −61.0723 | − | 59.8099i | −1.95088 | − | 1.91056i | ||||
\(981\) | 1.73613 | − | 1.38982i | 0.0554302 | − | 0.0443736i | ||||
\(982\) | 40.3745 | + | 27.5269i | 1.28840 | + | 0.878417i | ||||
\(983\) | −7.66645 | + | 33.5889i | −0.244522 | + | 1.07132i | 0.692326 | + | 0.721585i | \(0.256586\pi\) |
−0.936848 | + | 0.349736i | \(0.886271\pi\) | |||||||
\(984\) | 16.8268 | + | 88.4798i | 0.536419 | + | 2.82063i | ||||
\(985\) | −21.1143 | − | 4.81921i | −0.672759 | − | 0.153553i | ||||
\(986\) | −59.7436 | − | 18.4285i | −1.90262 | − | 0.586882i | ||||
\(987\) | 41.2798 | − | 4.12738i | 1.31395 | − | 0.131376i | ||||
\(988\) | −207.374 | + | 63.9664i | −6.59744 | + | 2.03504i | ||||
\(989\) | −10.5829 | + | 0.793082i | −0.336518 | + | 0.0252185i | ||||
\(990\) | 29.9860 | + | 23.8216i | 0.953018 | + | 0.757101i | ||||
\(991\) | 1.94428 | − | 25.9446i | 0.0617621 | − | 0.824158i | −0.877197 | − | 0.480130i | \(-0.840589\pi\) |
0.938959 | − | 0.344028i | \(-0.111791\pi\) | |||||||
\(992\) | 18.3542 | − | 2.76645i | 0.582747 | − | 0.0878350i | ||||
\(993\) | 26.6681 | + | 7.11904i | 0.846287 | + | 0.225916i | ||||
\(994\) | 13.0848 | − | 79.5237i | 0.415024 | − | 2.52234i | ||||
\(995\) | 8.30628 | + | 12.1831i | 0.263327 | + | 0.386229i | ||||
\(996\) | 12.5714 | − | 23.8401i | 0.398340 | − | 0.755401i | ||||
\(997\) | −16.3799 | + | 13.0626i | −0.518758 | + | 0.413695i | −0.847557 | − | 0.530704i | \(-0.821927\pi\) |
0.328799 | + | 0.944400i | \(0.393356\pi\) | |||||||
\(998\) | −41.5735 | − | 24.0025i | −1.31599 | − | 0.759784i | ||||
\(999\) | −9.05992 | − | 0.313601i | −0.286643 | − | 0.00992190i |
(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.bd.a.437.52 | yes | 648 | |
9.2 | odd | 6 | 441.2.bn.a.290.52 | yes | 648 | ||
49.12 | odd | 42 | 441.2.bn.a.257.52 | yes | 648 | ||
441.110 | even | 42 | inner | 441.2.bd.a.110.52 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.110.52 | ✓ | 648 | 441.110 | even | 42 | inner | |
441.2.bd.a.437.52 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.257.52 | yes | 648 | 49.12 | odd | 42 | ||
441.2.bn.a.290.52 | yes | 648 | 9.2 | odd | 6 |