Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
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([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.28 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.28 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0500119 | + | 0.127428i | −0.0353637 | + | 0.0901054i | −0.947465 | − | 0.319860i | \(-0.896364\pi\) |
0.912101 | + | 0.409966i | \(0.134459\pi\) | |||||||
\(3\) | −1.68249 | + | 0.411374i | −0.971386 | + | 0.237507i | ||||
\(4\) | 1.45237 | + | 1.34760i | 0.726183 | + | 0.673800i | ||||
\(5\) | 2.28191 | − | 1.09891i | 1.02050 | − | 0.491447i | 0.152654 | − | 0.988280i | \(-0.451218\pi\) |
0.867847 | + | 0.496832i | \(0.165504\pi\) | |||||||
\(6\) | 0.0317238 | − | 0.234970i | 0.0129512 | − | 0.0959262i | ||||
\(7\) | 2.44165 | + | 1.01898i | 0.922858 | + | 0.385140i | ||||
\(8\) | −0.491027 | + | 0.236466i | −0.173604 | + | 0.0836034i | ||||
\(9\) | 2.66154 | − | 1.38427i | 0.887181 | − | 0.461422i | ||||
\(10\) | 0.0259095 | + | 0.345738i | 0.00819330 | + | 0.109332i | ||||
\(11\) | −2.32040 | − | 2.90969i | −0.699626 | − | 0.877303i | 0.297369 | − | 0.954763i | \(-0.403891\pi\) |
−0.996996 | + | 0.0774591i | \(0.975319\pi\) | |||||||
\(12\) | −2.99796 | − | 1.66986i | −0.865437 | − | 0.482046i | ||||
\(13\) | 0.926851 | − | 2.36158i | 0.257062 | − | 0.654984i | −0.742833 | − | 0.669477i | \(-0.766518\pi\) |
0.999895 | + | 0.0144931i | \(0.00461344\pi\) | |||||||
\(14\) | −0.251959 | + | 0.260174i | −0.0673389 | + | 0.0695345i | ||||
\(15\) | −3.38723 | + | 2.78762i | −0.874578 | + | 0.719761i | ||||
\(16\) | 0.290544 | + | 3.87704i | 0.0726361 | + | 0.969261i | ||||
\(17\) | 3.88904 | − | 3.60850i | 0.943230 | − | 0.875190i | −0.0491013 | − | 0.998794i | \(-0.515636\pi\) |
0.992332 | + | 0.123604i | \(0.0394453\pi\) | |||||||
\(18\) | 0.0432858 | + | 0.408385i | 0.0102026 | + | 0.0962573i | ||||
\(19\) | −2.59441 | + | 4.49365i | −0.595198 | + | 1.03091i | 0.398320 | + | 0.917246i | \(0.369593\pi\) |
−0.993519 | + | 0.113668i | \(0.963740\pi\) | |||||||
\(20\) | 4.79506 | + | 1.47908i | 1.07221 | + | 0.330732i | ||||
\(21\) | −4.52724 | − | 0.709997i | −0.987925 | − | 0.154934i | ||||
\(22\) | 0.486824 | − | 0.150165i | 0.103791 | − | 0.0320153i | ||||
\(23\) | −0.816262 | + | 3.57628i | −0.170202 | + | 0.745705i | 0.815713 | + | 0.578457i | \(0.196345\pi\) |
−0.985915 | + | 0.167248i | \(0.946512\pi\) | |||||||
\(24\) | 0.728871 | − | 0.599848i | 0.148780 | − | 0.122443i | ||||
\(25\) | 0.882060 | − | 1.10607i | 0.176412 | − | 0.221214i | ||||
\(26\) | 0.254578 | + | 0.236214i | 0.0499269 | + | 0.0463254i | ||||
\(27\) | −3.90857 | + | 3.42390i | −0.752204 | + | 0.658931i | ||||
\(28\) | 2.17299 | + | 4.77031i | 0.410657 | + | 0.901504i | ||||
\(29\) | 2.55754 | + | 0.788897i | 0.474923 | + | 0.146494i | 0.522971 | − | 0.852351i | \(-0.324824\pi\) |
−0.0480475 | + | 0.998845i | \(0.515300\pi\) | |||||||
\(30\) | −0.185820 | − | 0.571042i | −0.0339260 | − | 0.104258i | ||||
\(31\) | 5.40358 | − | 9.35927i | 0.970511 | − | 1.68097i | 0.276494 | − | 0.961016i | \(-0.410827\pi\) |
0.694017 | − | 0.719959i | \(-0.255839\pi\) | |||||||
\(32\) | −1.55015 | − | 0.478157i | −0.274030 | − | 0.0845270i | ||||
\(33\) | 5.10101 | + | 3.94096i | 0.887973 | + | 0.686034i | ||||
\(34\) | 0.265327 | + | 0.676041i | 0.0455031 | + | 0.115940i | ||||
\(35\) | 6.69140 | − | 0.357926i | 1.13105 | − | 0.0605005i | ||||
\(36\) | 5.73097 | + | 1.57623i | 0.955162 | + | 0.262705i | ||||
\(37\) | 5.32328 | + | 1.64201i | 0.875142 | + | 0.269945i | 0.699607 | − | 0.714528i | \(-0.253358\pi\) |
0.175535 | + | 0.984473i | \(0.443835\pi\) | |||||||
\(38\) | −0.442866 | − | 0.555337i | −0.0718424 | − | 0.0900875i | ||||
\(39\) | −0.587925 | + | 4.35461i | −0.0941433 | + | 0.697296i | ||||
\(40\) | −0.860624 | + | 1.07919i | −0.136077 | + | 0.170635i | ||||
\(41\) | 2.77400 | + | 1.89128i | 0.433226 | + | 0.295368i | 0.760229 | − | 0.649655i | \(-0.225086\pi\) |
−0.327003 | + | 0.945023i | \(0.606039\pi\) | |||||||
\(42\) | 0.316890 | − | 0.541390i | 0.0488971 | − | 0.0835383i | ||||
\(43\) | −8.66353 | + | 5.90670i | −1.32118 | + | 0.900763i | −0.998946 | − | 0.0458986i | \(-0.985385\pi\) |
−0.322230 | + | 0.946661i | \(0.604433\pi\) | |||||||
\(44\) | 0.551024 | − | 7.35290i | 0.0830699 | − | 1.10849i | ||||
\(45\) | 4.55222 | − | 6.08356i | 0.678604 | − | 0.906884i | ||||
\(46\) | −0.414896 | − | 0.282871i | −0.0611730 | − | 0.0417071i | ||||
\(47\) | −1.12862 | + | 2.87567i | −0.164626 | + | 0.419460i | −0.989252 | − | 0.146218i | \(-0.953290\pi\) |
0.824627 | + | 0.565677i | \(0.191385\pi\) | |||||||
\(48\) | −2.08375 | − | 6.40357i | −0.300764 | − | 0.924275i | ||||
\(49\) | 4.92334 | + | 4.97601i | 0.703334 | + | 0.710859i | ||||
\(50\) | 0.0968308 | + | 0.167716i | 0.0136939 | + | 0.0237186i | ||||
\(51\) | −5.05882 | + | 7.67111i | −0.708377 | + | 1.07417i | ||||
\(52\) | 4.52859 | − | 2.18085i | 0.628003 | − | 0.302430i | ||||
\(53\) | −12.3945 | + | 3.82321i | −1.70252 | + | 0.525158i | −0.985174 | − | 0.171558i | \(-0.945120\pi\) |
−0.717347 | + | 0.696716i | \(0.754644\pi\) | |||||||
\(54\) | −0.240827 | − | 0.669297i | −0.0327724 | − | 0.0910798i | ||||
\(55\) | −8.49242 | − | 4.08973i | −1.14512 | − | 0.551460i | ||||
\(56\) | −1.43987 | + | 0.0770194i | −0.192411 | + | 0.0102921i | ||||
\(57\) | 2.51650 | − | 8.62779i | 0.333318 | − | 1.14278i | ||||
\(58\) | −0.228435 | + | 0.286449i | −0.0299950 | + | 0.0376125i | ||||
\(59\) | 6.38326 | − | 4.35203i | 0.831030 | − | 0.566586i | −0.0713880 | − | 0.997449i | \(-0.522743\pi\) |
0.902418 | + | 0.430862i | \(0.141790\pi\) | |||||||
\(60\) | −8.67610 | − | 0.515972i | −1.12008 | − | 0.0666117i | ||||
\(61\) | −6.13921 | + | 5.69636i | −0.786046 | + | 0.729344i | −0.967174 | − | 0.254116i | \(-0.918216\pi\) |
0.181128 | + | 0.983460i | \(0.442025\pi\) | |||||||
\(62\) | 0.922392 | + | 1.15664i | 0.117144 | + | 0.146894i | ||||
\(63\) | 7.90911 | − | 0.667827i | 0.996454 | − | 0.0841383i | ||||
\(64\) | −4.70970 | + | 5.90577i | −0.588712 | + | 0.738221i | ||||
\(65\) | −0.480171 | − | 6.40744i | −0.0595579 | − | 0.794745i | ||||
\(66\) | −0.757301 | + | 0.452918i | −0.0932174 | + | 0.0557504i | ||||
\(67\) | −4.21238 | + | 7.29605i | −0.514624 | + | 0.891354i | 0.485232 | + | 0.874385i | \(0.338735\pi\) |
−0.999856 | + | 0.0169692i | \(0.994598\pi\) | |||||||
\(68\) | 10.5111 | 1.27466 | ||||||||
\(69\) | −0.0978365 | − | 6.35284i | −0.0117781 | − | 0.764792i | ||||
\(70\) | −0.289040 | + | 0.870574i | −0.0345469 | + | 0.104054i | ||||
\(71\) | 2.21106 | − | 9.68730i | 0.262405 | − | 1.14967i | −0.656229 | − | 0.754561i | \(-0.727850\pi\) |
0.918634 | − | 0.395109i | \(-0.129293\pi\) | |||||||
\(72\) | −0.979557 | + | 1.30908i | −0.115442 | + | 0.154276i | ||||
\(73\) | −8.46720 | − | 1.27622i | −0.991011 | − | 0.149371i | −0.366526 | − | 0.930408i | \(-0.619453\pi\) |
−0.624485 | + | 0.781037i | \(0.714691\pi\) | |||||||
\(74\) | −0.475466 | + | 0.596216i | −0.0552718 | + | 0.0693087i | ||||
\(75\) | −1.02905 | + | 2.22380i | −0.118824 | + | 0.256783i | ||||
\(76\) | −9.82368 | + | 3.03020i | −1.12685 | + | 0.347588i | ||||
\(77\) | −2.70068 | − | 9.46889i | −0.307771 | − | 1.07908i | ||||
\(78\) | −0.525498 | − | 0.292701i | −0.0595009 | − | 0.0331418i | ||||
\(79\) | −0.0538543 | − | 0.0932784i | −0.00605909 | − | 0.0104946i | 0.862980 | − | 0.505238i | \(-0.168595\pi\) |
−0.869039 | + | 0.494743i | \(0.835262\pi\) | |||||||
\(80\) | 4.92352 | + | 8.52778i | 0.550466 | + | 0.953435i | ||||
\(81\) | 5.16761 | − | 7.36857i | 0.574179 | − | 0.818730i | ||||
\(82\) | −0.379736 | + | 0.258899i | −0.0419348 | + | 0.0285906i | ||||
\(83\) | −4.62232 | − | 11.7775i | −0.507365 | − | 1.29275i | −0.923555 | − | 0.383467i | \(-0.874730\pi\) |
0.416189 | − | 0.909278i | \(-0.363365\pi\) | |||||||
\(84\) | −5.61842 | − | 7.13208i | −0.613020 | − | 0.778174i | ||||
\(85\) | 4.90902 | − | 12.5080i | 0.532458 | − | 1.35668i | ||||
\(86\) | −0.319400 | − | 1.39938i | −0.0344418 | − | 0.150899i | ||||
\(87\) | −4.62757 | − | 0.275204i | −0.496127 | − | 0.0295050i | ||||
\(88\) | 1.82742 | + | 0.880039i | 0.194804 | + | 0.0938125i | ||||
\(89\) | −4.55638 | − | 11.6095i | −0.482975 | − | 1.23060i | −0.940009 | − | 0.341151i | \(-0.889183\pi\) |
0.457034 | − | 0.889449i | \(-0.348912\pi\) | |||||||
\(90\) | 0.547553 | + | 0.884331i | 0.0577171 | + | 0.0932167i | ||||
\(91\) | 4.66946 | − | 4.82171i | 0.489493 | − | 0.505452i | ||||
\(92\) | −6.00490 | + | 4.09407i | −0.626054 | + | 0.426836i | ||||
\(93\) | −5.24130 | + | 17.9698i | −0.543497 | + | 1.86338i | ||||
\(94\) | −0.309997 | − | 0.287636i | −0.0319738 | − | 0.0296673i | ||||
\(95\) | −0.982093 | + | 13.1051i | −0.100761 | + | 1.34456i | ||||
\(96\) | 2.80481 | + | 0.166804i | 0.286265 | + | 0.0170243i | ||||
\(97\) | 7.56187 | − | 13.0975i | 0.767791 | − | 1.32985i | −0.170967 | − | 0.985277i | \(-0.554689\pi\) |
0.938758 | − | 0.344577i | \(-0.111978\pi\) | |||||||
\(98\) | −0.880310 | + | 0.378513i | −0.0889248 | + | 0.0382356i | ||||
\(99\) | −10.2036 | − | 4.53221i | −1.02550 | − | 0.455504i | ||||
\(100\) | 2.77161 | − | 0.417753i | 0.277161 | − | 0.0417753i | ||||
\(101\) | −7.02243 | + | 3.38182i | −0.698758 | + | 0.336504i | −0.749312 | − | 0.662217i | \(-0.769616\pi\) |
0.0505541 | + | 0.998721i | \(0.483901\pi\) | |||||||
\(102\) | −0.724515 | − | 1.02828i | −0.0717377 | − | 0.101815i | ||||
\(103\) | −7.02665 | + | 3.38386i | −0.692357 | + | 0.333421i | −0.746756 | − | 0.665098i | \(-0.768390\pi\) |
0.0543995 | + | 0.998519i | \(0.482676\pi\) | |||||||
\(104\) | 0.103324 | + | 1.37877i | 0.0101318 | + | 0.135199i | ||||
\(105\) | −11.1110 | + | 3.35488i | −1.08432 | + | 0.327403i | ||||
\(106\) | 0.132690 | − | 1.77062i | 0.0128880 | − | 0.171978i | ||||
\(107\) | 0.768511 | + | 1.95813i | 0.0742947 | + | 0.189300i | 0.963197 | − | 0.268798i | \(-0.0866263\pi\) |
−0.888902 | + | 0.458098i | \(0.848531\pi\) | |||||||
\(108\) | −10.2907 | − | 0.294417i | −0.990225 | − | 0.0283303i | ||||
\(109\) | 1.86451 | − | 4.75071i | 0.178588 | − | 0.455035i | −0.813347 | − | 0.581778i | \(-0.802357\pi\) |
0.991936 | + | 0.126743i | \(0.0404524\pi\) | |||||||
\(110\) | 0.945869 | − | 0.877639i | 0.0901851 | − | 0.0836796i | ||||
\(111\) | −9.63184 | − | 0.572811i | −0.914214 | − | 0.0543688i | ||||
\(112\) | −3.24124 | + | 9.76246i | −0.306268 | + | 0.922466i | ||||
\(113\) | −9.91233 | − | 1.49404i | −0.932474 | − | 0.140548i | −0.334802 | − | 0.942289i | \(-0.608669\pi\) |
−0.597672 | + | 0.801741i | \(0.703908\pi\) | |||||||
\(114\) | 0.973569 | + | 0.752165i | 0.0911831 | + | 0.0704467i | ||||
\(115\) | 2.06737 | + | 9.05774i | 0.192783 | + | 0.844638i | ||||
\(116\) | 2.65137 | + | 4.59231i | 0.246173 | + | 0.426385i | ||||
\(117\) | −0.802199 | − | 7.56845i | −0.0741633 | − | 0.699703i | ||||
\(118\) | 0.235333 | + | 1.03106i | 0.0216642 | + | 0.0949168i | ||||
\(119\) | 13.1727 | − | 4.84784i | 1.20754 | − | 0.444400i | ||||
\(120\) | 1.00404 | − | 2.16976i | 0.0916559 | − | 0.198071i | ||||
\(121\) | −0.634300 | + | 2.77905i | −0.0576636 | + | 0.252641i | ||||
\(122\) | −0.418843 | − | 1.06719i | −0.0379203 | − | 0.0966193i | ||||
\(123\) | −5.44525 | − | 2.04091i | −0.490982 | − | 0.184023i | ||||
\(124\) | 20.4605 | − | 6.31124i | 1.83741 | − | 0.566766i | ||||
\(125\) | −2.02061 | + | 8.85289i | −0.180729 | + | 0.791826i | ||||
\(126\) | −0.310449 | + | 1.04124i | −0.0276570 | + | 0.0927613i | ||||
\(127\) | −0.0260888 | − | 0.114303i | −0.00231501 | − | 0.0101427i | 0.973757 | − | 0.227589i | \(-0.0730844\pi\) |
−0.976072 | + | 0.217447i | \(0.930227\pi\) | |||||||
\(128\) | −2.13924 | − | 3.70527i | −0.189084 | − | 0.327503i | ||||
\(129\) | 12.1464 | − | 13.5019i | 1.06943 | − | 1.18878i | ||||
\(130\) | 0.840502 | + | 0.259261i | 0.0737169 | + | 0.0227387i | ||||
\(131\) | 13.1662 | + | 6.34049i | 1.15033 | + | 0.553971i | 0.909134 | − | 0.416505i | \(-0.136745\pi\) |
0.241199 | + | 0.970476i | \(0.422459\pi\) | |||||||
\(132\) | 2.09770 | + | 12.5979i | 0.182582 | + | 1.09650i | ||||
\(133\) | −10.9136 | + | 8.32827i | −0.946330 | + | 0.722153i | ||||
\(134\) | −0.719054 | − | 0.901665i | −0.0621168 | − | 0.0778920i | ||||
\(135\) | −5.15643 | + | 12.1082i | −0.443795 | + | 1.04211i | ||||
\(136\) | −1.05633 | + | 2.69150i | −0.0905799 | + | 0.230794i | ||||
\(137\) | −10.2729 | − | 4.94719i | −0.877676 | − | 0.422667i | −0.0599011 | − | 0.998204i | \(-0.519079\pi\) |
−0.817775 | + | 0.575538i | \(0.804793\pi\) | |||||||
\(138\) | 0.814423 | + | 0.305250i | 0.0693283 | + | 0.0259846i | ||||
\(139\) | 4.83850 | + | 3.29883i | 0.410396 | + | 0.279803i | 0.750869 | − | 0.660451i | \(-0.229635\pi\) |
−0.340473 | + | 0.940254i | \(0.610587\pi\) | |||||||
\(140\) | 10.2007 | + | 8.49749i | 0.862118 | + | 0.718169i | ||||
\(141\) | 0.715911 | − | 5.30257i | 0.0602905 | − | 0.446557i | ||||
\(142\) | 1.12386 | + | 0.766232i | 0.0943119 | + | 0.0643007i | ||||
\(143\) | −9.02212 | + | 2.78295i | −0.754467 | + | 0.232722i | ||||
\(144\) | 6.14016 | + | 9.91673i | 0.511680 | + | 0.826394i | ||||
\(145\) | 6.70300 | − | 1.01031i | 0.556654 | − | 0.0839021i | ||||
\(146\) | 0.586088 | − | 1.01513i | 0.0485050 | − | 0.0840130i | ||||
\(147\) | −10.3305 | − | 6.34676i | −0.852043 | − | 0.523472i | ||||
\(148\) | 5.51858 | + | 9.55845i | 0.453624 | + | 0.785700i | ||||
\(149\) | 9.08159 | + | 11.3880i | 0.743993 | + | 0.932938i | 0.999426 | − | 0.0338889i | \(-0.0107892\pi\) |
−0.255432 | + | 0.966827i | \(0.582218\pi\) | |||||||
\(150\) | −0.231911 | − | 0.242346i | −0.0189354 | − | 0.0197875i | ||||
\(151\) | 3.03051 | − | 13.2775i | 0.246619 | − | 1.08051i | −0.688237 | − | 0.725486i | \(-0.741615\pi\) |
0.934857 | − | 0.355025i | \(-0.115528\pi\) | |||||||
\(152\) | 0.211329 | − | 2.81999i | 0.0171411 | − | 0.228732i | ||||
\(153\) | 5.35572 | − | 14.9876i | 0.432984 | − | 1.21168i | ||||
\(154\) | 1.34167 | + | 0.129414i | 0.108115 | + | 0.0104285i | ||||
\(155\) | 2.04548 | − | 27.2950i | 0.164297 | − | 2.19239i | ||||
\(156\) | −6.72216 | + | 5.53221i | −0.538203 | + | 0.442931i | ||||
\(157\) | 8.45139 | − | 5.76206i | 0.674495 | − | 0.459863i | −0.177010 | − | 0.984209i | \(-0.556643\pi\) |
0.851505 | + | 0.524346i | \(0.175690\pi\) | |||||||
\(158\) | 0.0145797 | − | 0.00219753i | 0.00115990 | − | 0.000174826i | ||||
\(159\) | 19.2809 | − | 11.5313i | 1.52908 | − | 0.914492i | ||||
\(160\) | −4.06275 | + | 0.612361i | −0.321188 | + | 0.0484114i | ||||
\(161\) | −5.63720 | + | 7.90027i | −0.444273 | + | 0.622628i | ||||
\(162\) | 0.680521 | + | 1.02702i | 0.0534668 | + | 0.0806900i | ||||
\(163\) | 4.31608 | − | 2.94265i | 0.338062 | − | 0.230486i | −0.382375 | − | 0.924007i | \(-0.624894\pi\) |
0.720437 | + | 0.693521i | \(0.243941\pi\) | |||||||
\(164\) | 1.48018 | + | 6.48508i | 0.115582 | + | 0.506399i | ||||
\(165\) | 15.9708 | + | 3.38737i | 1.24333 | + | 0.263706i | ||||
\(166\) | 1.73195 | 0.134426 | ||||||||
\(167\) | −14.1903 | + | 13.1666i | −1.09807 | + | 1.01886i | −0.0983559 | + | 0.995151i | \(0.531358\pi\) |
−0.999719 | + | 0.0237131i | \(0.992451\pi\) | |||||||
\(168\) | 2.39089 | − | 0.721911i | 0.184461 | − | 0.0556966i | ||||
\(169\) | 4.81167 | + | 4.46458i | 0.370129 | + | 0.343429i | ||||
\(170\) | 1.34836 | + | 1.25109i | 0.103414 | + | 0.0959546i | ||||
\(171\) | −0.684725 | + | 15.5514i | −0.0523622 | + | 1.18924i | ||||
\(172\) | −20.5425 | − | 3.09628i | −1.56635 | − | 0.236089i | ||||
\(173\) | 8.80281 | − | 2.71531i | 0.669266 | − | 0.206441i | 0.0585420 | − | 0.998285i | \(-0.481355\pi\) |
0.610724 | + | 0.791844i | \(0.290879\pi\) | |||||||
\(174\) | 0.266502 | − | 0.575919i | 0.0202035 | − | 0.0436603i | ||||
\(175\) | 3.28075 | − | 1.80183i | 0.248001 | − | 0.136205i | ||||
\(176\) | 10.6068 | − | 9.84168i | 0.799518 | − | 0.741844i | ||||
\(177\) | −8.94945 | + | 9.94816i | −0.672682 | + | 0.747749i | ||||
\(178\) | 1.70725 | 0.127963 | ||||||||
\(179\) | −4.89385 | + | 4.54083i | −0.365784 | + | 0.339398i | −0.841555 | − | 0.540171i | \(-0.818359\pi\) |
0.475771 | + | 0.879569i | \(0.342169\pi\) | |||||||
\(180\) | 14.8097 | − | 2.70100i | 1.10385 | − | 0.201321i | ||||
\(181\) | −2.01535 | + | 2.52717i | −0.149800 | + | 0.187843i | −0.851069 | − | 0.525053i | \(-0.824045\pi\) |
0.701270 | + | 0.712896i | \(0.252617\pi\) | |||||||
\(182\) | 0.380893 | + | 0.836164i | 0.0282337 | + | 0.0619806i | ||||
\(183\) | 7.98583 | − | 12.1096i | 0.590329 | − | 0.895166i | ||||
\(184\) | −0.444861 | − | 1.94907i | −0.0327956 | − | 0.143687i | ||||
\(185\) | 13.9517 | − | 2.10288i | 1.02575 | − | 0.154606i | ||||
\(186\) | −2.02773 | − | 1.56659i | −0.148680 | − | 0.114868i | ||||
\(187\) | −19.5237 | − | 2.94273i | −1.42772 | − | 0.215193i | ||||
\(188\) | −5.51442 | + | 2.65561i | −0.402181 | + | 0.193680i | ||||
\(189\) | −13.0323 | + | 4.37722i | −0.947958 | + | 0.318396i | ||||
\(190\) | −1.62085 | − | 0.780558i | −0.117589 | − | 0.0566277i | ||||
\(191\) | −7.11118 | − | 4.84832i | −0.514547 | − | 0.350812i | 0.278042 | − | 0.960569i | \(-0.410315\pi\) |
−0.792589 | + | 0.609757i | \(0.791267\pi\) | |||||||
\(192\) | 5.49453 | − | 11.8738i | 0.396534 | − | 0.856921i | ||||
\(193\) | 0.893883 | − | 11.9280i | 0.0643431 | − | 0.858599i | −0.867894 | − | 0.496750i | \(-0.834527\pi\) |
0.932237 | − | 0.361849i | \(-0.117854\pi\) | |||||||
\(194\) | 1.29081 | + | 1.61863i | 0.0926750 | + | 0.116211i | ||||
\(195\) | 3.44374 | + | 10.5829i | 0.246611 | + | 0.757858i | ||||
\(196\) | 0.444823 | + | 13.8617i | 0.0317731 | + | 0.990121i | ||||
\(197\) | −15.7079 | −1.11914 | −0.559571 | − | 0.828782i | \(-0.689034\pi\) | ||||
−0.559571 | + | 0.828782i | \(0.689034\pi\) | |||||||
\(198\) | 1.08783 | − | 1.07356i | 0.0773089 | − | 0.0762949i | ||||
\(199\) | 2.44173 | + | 1.66474i | 0.173089 | + | 0.118010i | 0.646766 | − | 0.762689i | \(-0.276121\pi\) |
−0.473677 | + | 0.880699i | \(0.657073\pi\) | |||||||
\(200\) | −0.171567 | + | 0.751686i | −0.0121317 | + | 0.0531523i | ||||
\(201\) | 4.08587 | − | 14.0084i | 0.288195 | − | 0.988076i | ||||
\(202\) | −0.0797348 | − | 1.06399i | −0.00561012 | − | 0.0748619i | ||||
\(203\) | 5.44075 | + | 4.53231i | 0.381866 | + | 0.318105i | ||||
\(204\) | −17.6849 | + | 4.32401i | −1.23819 | + | 0.302741i | ||||
\(205\) | 8.40836 | + | 1.26736i | 0.587266 | + | 0.0885161i | ||||
\(206\) | −0.0797828 | − | 1.06463i | −0.00555873 | − | 0.0741761i | ||||
\(207\) | 2.77800 | + | 10.6483i | 0.193085 | + | 0.740110i | ||||
\(208\) | 9.42524 | + | 2.90730i | 0.653523 | + | 0.201585i | ||||
\(209\) | 19.0952 | − | 2.87813i | 1.32084 | − | 0.199085i | ||||
\(210\) | 0.128175 | − | 1.58364i | 0.00884490 | − | 0.109281i | ||||
\(211\) | 0.834930 | + | 0.125846i | 0.0574790 | + | 0.00866356i | 0.177719 | − | 0.984081i | \(-0.443128\pi\) |
−0.120240 | + | 0.992745i | \(0.538366\pi\) | |||||||
\(212\) | −23.1536 | − | 11.1502i | −1.59019 | − | 0.765797i | ||||
\(213\) | 0.265016 | + | 17.2083i | 0.0181586 | + | 1.17910i | ||||
\(214\) | −0.287956 | −0.0196843 | ||||||||
\(215\) | −13.2785 | + | 22.9990i | −0.905584 | + | 1.56852i | ||||
\(216\) | 1.10957 | − | 2.60547i | 0.0754969 | − | 0.177280i | ||||
\(217\) | 22.7306 | − | 17.3459i | 1.54305 | − | 1.17752i | ||||
\(218\) | 0.512126 | + | 0.475184i | 0.0346856 | + | 0.0321835i | ||||
\(219\) | 14.7710 | − | 1.33595i | 0.998130 | − | 0.0902753i | ||||
\(220\) | −6.82279 | − | 17.3842i | −0.459992 | − | 1.17204i | ||||
\(221\) | −4.91720 | − | 12.5288i | −0.330766 | − | 0.842779i | ||||
\(222\) | 0.554699 | − | 1.19872i | 0.0372290 | − | 0.0804529i | ||||
\(223\) | −9.04626 | − | 8.39370i | −0.605782 | − | 0.562084i | 0.316504 | − | 0.948591i | \(-0.397491\pi\) |
−0.922286 | + | 0.386508i | \(0.873681\pi\) | |||||||
\(224\) | −3.29769 | − | 2.74707i | −0.220336 | − | 0.183546i | ||||
\(225\) | 0.816547 | − | 4.16485i | 0.0544365 | − | 0.277657i | ||||
\(226\) | 0.686118 | − | 1.18839i | 0.0456399 | − | 0.0790506i | ||||
\(227\) | −27.5070 | −1.82570 | −0.912851 | − | 0.408292i | \(-0.866124\pi\) | ||||
−0.912851 | + | 0.408292i | \(0.866124\pi\) | |||||||
\(228\) | 15.2817 | − | 9.13949i | 1.01205 | − | 0.605278i | ||||
\(229\) | −1.78737 | − | 0.860753i | −0.118113 | − | 0.0568802i | 0.373894 | − | 0.927471i | \(-0.378022\pi\) |
−0.492007 | + | 0.870591i | \(0.663737\pi\) | |||||||
\(230\) | −1.25760 | − | 0.189553i | −0.0829240 | − | 0.0124988i | ||||
\(231\) | 8.43913 | + | 14.8203i | 0.555254 | + | 0.975106i | ||||
\(232\) | −1.44237 | + | 0.217402i | −0.0946961 | + | 0.0142731i | ||||
\(233\) | 2.88951 | + | 0.891297i | 0.189298 | + | 0.0583908i | 0.387955 | − | 0.921678i | \(-0.373182\pi\) |
−0.198657 | + | 0.980069i | \(0.563658\pi\) | |||||||
\(234\) | 1.00455 | + | 0.276290i | 0.0656697 | + | 0.0180616i | ||||
\(235\) | 0.584700 | + | 7.80227i | 0.0381416 | + | 0.508964i | ||||
\(236\) | 15.1356 | + | 2.28133i | 0.985246 | + | 0.148502i | ||||
\(237\) | 0.128982 | + | 0.134786i | 0.00837826 | + | 0.00875527i | ||||
\(238\) | −0.0410399 | + | 1.92102i | −0.00266022 | + | 0.124521i | ||||
\(239\) | 0.906803 | + | 12.1005i | 0.0586562 | + | 0.782713i | 0.946528 | + | 0.322622i | \(0.104564\pi\) |
−0.887872 | + | 0.460091i | \(0.847817\pi\) | |||||||
\(240\) | −11.7919 | − | 12.3225i | −0.761163 | − | 0.795414i | ||||
\(241\) | 2.47022 | − | 10.8227i | 0.159121 | − | 0.697153i | −0.830923 | − | 0.556388i | \(-0.812187\pi\) |
0.990043 | − | 0.140765i | \(-0.0449561\pi\) | |||||||
\(242\) | −0.322407 | − | 0.219813i | −0.0207251 | − | 0.0141301i | ||||
\(243\) | −5.66322 | + | 14.5234i | −0.363296 | + | 0.931674i | ||||
\(244\) | −16.5928 | −1.06225 | ||||||||
\(245\) | 16.7028 | + | 5.94451i | 1.06710 | + | 0.379781i | ||||
\(246\) | 0.532397 | − | 0.591809i | 0.0339444 | − | 0.0377324i | ||||
\(247\) | 8.20748 | + | 10.2918i | 0.522229 | + | 0.654855i | ||||
\(248\) | −0.440152 | + | 5.87341i | −0.0279497 | + | 0.372962i | ||||
\(249\) | 12.6219 | + | 17.9140i | 0.799883 | + | 1.13525i | ||||
\(250\) | −1.02705 | − | 0.700233i | −0.0649565 | − | 0.0442866i | ||||
\(251\) | −10.2759 | − | 4.94860i | −0.648607 | − | 0.312353i | 0.0804978 | − | 0.996755i | \(-0.474349\pi\) |
−0.729105 | + | 0.684402i | \(0.760063\pi\) | |||||||
\(252\) | 12.3869 | + | 9.68838i | 0.780301 | + | 0.610311i | ||||
\(253\) | 12.2999 | − | 5.92332i | 0.773288 | − | 0.372396i | ||||
\(254\) | 0.0158701 | + | 0.00239204i | 0.000995780 | + | 0.000150090i | ||||
\(255\) | −3.11391 | + | 23.0640i | −0.195001 | + | 1.44432i | ||||
\(256\) | −14.3596 | + | 2.16437i | −0.897478 | + | 0.135273i | ||||
\(257\) | 1.05585 | + | 4.62599i | 0.0658622 | + | 0.288561i | 0.997124 | − | 0.0757901i | \(-0.0241479\pi\) |
−0.931262 | + | 0.364351i | \(0.881291\pi\) | |||||||
\(258\) | 1.11306 | + | 2.22306i | 0.0692960 | + | 0.138401i | ||||
\(259\) | 11.3244 | + | 9.43357i | 0.703665 | + | 0.586173i | ||||
\(260\) | 7.93727 | − | 9.95303i | 0.492249 | − | 0.617260i | ||||
\(261\) | 7.89904 | − | 1.44063i | 0.488938 | − | 0.0891730i | ||||
\(262\) | −1.46642 | + | 1.36064i | −0.0905958 | + | 0.0840606i | ||||
\(263\) | −2.78489 | −0.171724 | −0.0858618 | − | 0.996307i | \(-0.527364\pi\) | ||||
−0.0858618 | + | 0.996307i | \(0.527364\pi\) | |||||||
\(264\) | −3.43664 | − | 0.728903i | −0.211511 | − | 0.0448609i | ||||
\(265\) | −24.0819 | + | 22.3447i | −1.47934 | + | 1.37262i | ||||
\(266\) | −0.515446 | − | 1.80721i | −0.0316041 | − | 0.110807i | ||||
\(267\) | 12.4419 | + | 17.6584i | 0.761431 | + | 1.08068i | ||||
\(268\) | −15.9501 | + | 4.91995i | −0.974306 | + | 0.300534i | ||||
\(269\) | −13.5206 | − | 2.03790i | −0.824364 | − | 0.124253i | −0.276705 | − | 0.960955i | \(-0.589243\pi\) |
−0.547658 | + | 0.836702i | \(0.684481\pi\) | |||||||
\(270\) | −1.28504 | − | 1.26263i | −0.0782052 | − | 0.0768411i | ||||
\(271\) | −6.40055 | − | 5.93884i | −0.388805 | − | 0.360759i | 0.461416 | − | 0.887184i | \(-0.347342\pi\) |
−0.850221 | + | 0.526425i | \(0.823532\pi\) | |||||||
\(272\) | 15.1203 | + | 14.0295i | 0.916800 | + | 0.850666i | ||||
\(273\) | −5.87279 | + | 10.0334i | −0.355438 | + | 0.607247i | ||||
\(274\) | 1.14418 | − | 1.06164i | 0.0691224 | − | 0.0641363i | ||||
\(275\) | −5.26504 | −0.317494 | ||||||||
\(276\) | 8.41898 | − | 9.35849i | 0.506763 | − | 0.563315i | ||||
\(277\) | 1.28924 | + | 5.64853i | 0.0774629 | + | 0.339387i | 0.998778 | − | 0.0494306i | \(-0.0157407\pi\) |
−0.921315 | + | 0.388818i | \(0.872884\pi\) | |||||||
\(278\) | −0.662347 | + | 0.451580i | −0.0397249 | + | 0.0270840i | ||||
\(279\) | 1.42613 | − | 32.3901i | 0.0853801 | − | 1.93914i | ||||
\(280\) | −3.20102 | + | 1.75804i | −0.191298 | + | 0.105063i | ||||
\(281\) | 24.4876 | − | 3.69092i | 1.46081 | − | 0.220182i | 0.629938 | − | 0.776645i | \(-0.283080\pi\) |
0.830872 | + | 0.556464i | \(0.187842\pi\) | |||||||
\(282\) | 0.639893 | + | 0.356419i | 0.0381051 | + | 0.0212244i | ||||
\(283\) | 21.7648 | − | 3.28052i | 1.29379 | − | 0.195007i | 0.534169 | − | 0.845378i | \(-0.320625\pi\) |
0.759617 | + | 0.650371i | \(0.225387\pi\) | |||||||
\(284\) | 16.2659 | − | 11.0899i | 0.965202 | − | 0.658063i | ||||
\(285\) | −3.73875 | − | 22.4532i | −0.221464 | − | 1.33002i | ||||
\(286\) | 0.0965862 | − | 1.28885i | 0.00571126 | − | 0.0762115i | ||||
\(287\) | 4.84596 | + | 7.44452i | 0.286048 | + | 0.439436i | ||||
\(288\) | −4.78768 | + | 0.873181i | −0.282117 | + | 0.0514527i | ||||
\(289\) | 0.832933 | − | 11.1147i | 0.0489961 | − | 0.653807i | ||||
\(290\) | −0.206487 | + | 0.904679i | −0.0121253 | + | 0.0531246i | ||||
\(291\) | −7.33477 | + | 25.1472i | −0.429972 | + | 1.47416i | ||||
\(292\) | −10.5776 | − | 13.2639i | −0.619009 | − | 0.776213i | ||||
\(293\) | −3.61637 | − | 6.26374i | −0.211271 | − | 0.365932i | 0.740842 | − | 0.671680i | \(-0.234427\pi\) |
−0.952113 | + | 0.305748i | \(0.901094\pi\) | |||||||
\(294\) | 1.32540 | − | 0.998981i | 0.0772990 | − | 0.0582617i | ||||
\(295\) | 9.78353 | − | 16.9456i | 0.569619 | − | 0.986609i | ||||
\(296\) | −3.00215 | + | 0.452502i | −0.174497 | + | 0.0263011i | ||||
\(297\) | 19.0319 | + | 3.42788i | 1.10434 | + | 0.198906i | ||||
\(298\) | −1.90534 | + | 0.587718i | −0.110373 | + | 0.0340456i | ||||
\(299\) | 7.68910 | + | 5.24234i | 0.444672 | + | 0.303172i | ||||
\(300\) | −4.49135 | + | 1.84304i | −0.259308 | + | 0.106408i | ||||
\(301\) | −27.1722 | + | 5.59410i | −1.56618 | + | 0.322438i | ||||
\(302\) | 1.54037 | + | 1.05021i | 0.0886384 | + | 0.0604326i | ||||
\(303\) | 10.4240 | − | 8.57873i | 0.598841 | − | 0.492835i | ||||
\(304\) | −18.1759 | − | 8.75304i | −1.04246 | − | 0.502021i | ||||
\(305\) | −7.74935 | + | 19.7450i | −0.443726 | + | 1.13060i | ||||
\(306\) | 1.64200 | + | 1.43203i | 0.0938668 | + | 0.0818637i | ||||
\(307\) | 6.51293 | + | 8.16695i | 0.371712 | + | 0.466113i | 0.932144 | − | 0.362088i | \(-0.117936\pi\) |
−0.560431 | + | 0.828201i | \(0.689365\pi\) | |||||||
\(308\) | 8.83790 | − | 17.3917i | 0.503586 | − | 0.990987i | ||||
\(309\) | 10.4302 | − | 8.58389i | 0.593356 | − | 0.488320i | ||||
\(310\) | 3.37586 | + | 1.62573i | 0.191736 | + | 0.0923352i | ||||
\(311\) | −10.3863 | − | 3.20375i | −0.588953 | − | 0.181668i | −0.0140664 | − | 0.999901i | \(-0.504478\pi\) |
−0.574887 | + | 0.818233i | \(0.694954\pi\) | |||||||
\(312\) | −0.741032 | − | 2.27726i | −0.0419527 | − | 0.128924i | ||||
\(313\) | −7.67820 | − | 13.2990i | −0.433998 | − | 0.751706i | 0.563216 | − | 0.826310i | \(-0.309564\pi\) |
−0.997213 | + | 0.0746040i | \(0.976231\pi\) | |||||||
\(314\) | 0.311579 | + | 1.36512i | 0.0175834 | + | 0.0770380i | ||||
\(315\) | 17.3140 | − | 10.2153i | 0.975533 | − | 0.575568i | ||||
\(316\) | 0.0474857 | − | 0.208049i | 0.00267128 | − | 0.0117036i | ||||
\(317\) | −2.60538 | + | 0.803652i | −0.146332 | + | 0.0451376i | −0.367056 | − | 0.930199i | \(-0.619634\pi\) |
0.220724 | + | 0.975336i | \(0.429158\pi\) | |||||||
\(318\) | 0.505139 | + | 3.03363i | 0.0283268 | + | 0.170118i | ||||
\(319\) | −3.63907 | − | 9.27219i | −0.203749 | − | 0.519143i | ||||
\(320\) | −4.25719 | + | 18.6520i | −0.237984 | + | 1.04268i | ||||
\(321\) | −2.09854 | − | 2.97839i | −0.117129 | − | 0.166238i | ||||
\(322\) | −0.724790 | − | 1.11345i | −0.0403910 | − | 0.0620499i | ||||
\(323\) | 6.12558 | + | 26.8379i | 0.340836 | + | 1.49330i | ||||
\(324\) | 17.4351 | − | 3.73799i | 0.968619 | − | 0.207666i | ||||
\(325\) | −1.79453 | − | 3.10821i | −0.0995425 | − | 0.172413i | ||||
\(326\) | 0.159122 | + | 0.697158i | 0.00881294 | + | 0.0386120i | ||||
\(327\) | −1.18271 | + | 8.76003i | −0.0654039 | + | 0.484431i | ||||
\(328\) | −1.80933 | − | 0.272713i | −0.0999037 | − | 0.0150581i | ||||
\(329\) | −5.68596 | + | 5.87135i | −0.313477 | + | 0.323698i | ||||
\(330\) | −1.23038 | + | 1.86572i | −0.0677300 | + | 0.102705i | ||||
\(331\) | 18.6921 | − | 17.3438i | 1.02741 | − | 0.953299i | 0.0284846 | − | 0.999594i | \(-0.490932\pi\) |
0.998928 | + | 0.0462948i | \(0.0147414\pi\) | |||||||
\(332\) | 9.15801 | − | 23.3342i | 0.502611 | − | 1.28063i | ||||
\(333\) | 16.4411 | − | 2.99854i | 0.900967 | − | 0.164319i | ||||
\(334\) | −0.968119 | − | 2.46673i | −0.0529731 | − | 0.134973i | ||||
\(335\) | −1.59456 | + | 21.2780i | −0.0871202 | + | 1.16254i | ||||
\(336\) | 1.43733 | − | 17.7586i | 0.0784127 | − | 0.968811i | ||||
\(337\) | 1.21000 | + | 16.1464i | 0.0659130 | + | 0.879548i | 0.927951 | + | 0.372703i | \(0.121569\pi\) |
−0.862038 | + | 0.506844i | \(0.830812\pi\) | |||||||
\(338\) | −0.809554 | + | 0.389861i | −0.0440340 | + | 0.0212056i | ||||
\(339\) | 17.2920 | − | 1.56397i | 0.939173 | − | 0.0849430i | ||||
\(340\) | 23.9854 | − | 11.5508i | 1.30079 | − | 0.626429i | ||||
\(341\) | −39.7710 | + | 5.99451i | −2.15372 | + | 0.324621i | ||||
\(342\) | −1.94744 | − | 0.865008i | −0.105306 | − | 0.0467743i | ||||
\(343\) | 6.95061 | + | 17.1665i | 0.375298 | + | 0.926904i | ||||
\(344\) | 2.85729 | − | 4.94898i | 0.154055 | − | 0.266831i | ||||
\(345\) | −7.20445 | − | 14.3891i | −0.387874 | − | 0.774682i | ||||
\(346\) | −0.0942384 | + | 1.25752i | −0.00506629 | + | 0.0676049i | ||||
\(347\) | 19.2922 | + | 17.9006i | 1.03566 | + | 0.960952i | 0.999263 | − | 0.0383850i | \(-0.0122213\pi\) |
0.0363974 | + | 0.999337i | \(0.488412\pi\) | |||||||
\(348\) | −6.35006 | − | 6.63580i | −0.340399 | − | 0.355716i | ||||
\(349\) | −10.4507 | + | 7.12519i | −0.559415 | + | 0.381403i | −0.809766 | − | 0.586752i | \(-0.800406\pi\) |
0.250352 | + | 0.968155i | \(0.419454\pi\) | |||||||
\(350\) | 0.0655274 | + | 0.508173i | 0.00350258 | + | 0.0271630i | ||||
\(351\) | 4.46316 | + | 12.4038i | 0.238226 | + | 0.662068i | ||||
\(352\) | 2.20567 | + | 5.61996i | 0.117563 | + | 0.299545i | ||||
\(353\) | 2.75321 | + | 1.32588i | 0.146539 | + | 0.0705693i | 0.505716 | − | 0.862700i | \(-0.331228\pi\) |
−0.359177 | + | 0.933269i | \(0.616943\pi\) | |||||||
\(354\) | −0.820097 | − | 1.63794i | −0.0435877 | − | 0.0870555i | ||||
\(355\) | −5.60002 | − | 24.5353i | −0.297218 | − | 1.30220i | ||||
\(356\) | 9.02737 | − | 23.0014i | 0.478450 | − | 1.21907i | ||||
\(357\) | −20.1686 | + | 13.5753i | −1.06744 | + | 0.718483i | ||||
\(358\) | −0.333879 | − | 0.850711i | −0.0176461 | − | 0.0449615i | ||||
\(359\) | 9.89740 | − | 6.74793i | 0.522365 | − | 0.356142i | −0.273252 | − | 0.961942i | \(-0.588099\pi\) |
0.795617 | + | 0.605800i | \(0.207147\pi\) | |||||||
\(360\) | −0.796703 | + | 4.06364i | −0.0419900 | + | 0.214173i | ||||
\(361\) | −3.96193 | − | 6.86226i | −0.208522 | − | 0.361171i | ||||
\(362\) | −0.221241 | − | 0.383201i | −0.0116282 | − | 0.0201406i | ||||
\(363\) | −0.0760267 | − | 4.93666i | −0.00399037 | − | 0.259107i | ||||
\(364\) | 13.2795 | − | 0.710326i | 0.696035 | − | 0.0372312i | ||||
\(365\) | −20.7238 | + | 6.39246i | −1.08474 | + | 0.334596i | ||||
\(366\) | 1.14372 | + | 1.62324i | 0.0597830 | + | 0.0848483i | ||||
\(367\) | −3.03194 | + | 3.80193i | −0.158266 | + | 0.198459i | −0.854642 | − | 0.519218i | \(-0.826223\pi\) |
0.696376 | + | 0.717677i | \(0.254795\pi\) | |||||||
\(368\) | −14.1025 | − | 2.12562i | −0.735146 | − | 0.110805i | ||||
\(369\) | 10.0012 | + | 1.19377i | 0.520639 | + | 0.0621452i | ||||
\(370\) | −0.429783 | + | 1.88300i | −0.0223434 | + | 0.0978927i | ||||
\(371\) | −34.1590 | − | 3.29489i | −1.77344 | − | 0.171062i | ||||
\(372\) | −31.8283 | + | 19.0355i | −1.65022 | + | 0.986946i | ||||
\(373\) | 13.8301 | 0.716098 | 0.358049 | − | 0.933703i | \(-0.383442\pi\) | ||||
0.358049 | + | 0.933703i | \(0.383442\pi\) | |||||||
\(374\) | 1.35140 | − | 2.34070i | 0.0698795 | − | 0.121035i | ||||
\(375\) | −0.242189 | − | 15.7261i | −0.0125066 | − | 0.812093i | ||||
\(376\) | −0.125817 | − | 1.67891i | −0.00648852 | − | 0.0865833i | ||||
\(377\) | 4.23350 | − | 5.30864i | 0.218036 | − | 0.273409i | ||||
\(378\) | 0.0939873 | − | 1.87959i | 0.00483419 | − | 0.0966757i | ||||
\(379\) | −11.3063 | − | 14.1777i | −0.580768 | − | 0.728260i | 0.401476 | − | 0.915870i | \(-0.368497\pi\) |
−0.982244 | + | 0.187610i | \(0.939926\pi\) | |||||||
\(380\) | −19.0868 | + | 17.7100i | −0.979133 | + | 0.908503i | ||||
\(381\) | 0.0909153 | + | 0.181581i | 0.00465773 | + | 0.00930266i | ||||
\(382\) | 0.973456 | − | 0.663691i | 0.0498064 | − | 0.0339574i | ||||
\(383\) | −10.1202 | + | 12.6903i | −0.517117 | + | 0.648444i | −0.969994 | − | 0.243129i | \(-0.921826\pi\) |
0.452877 | + | 0.891573i | \(0.350398\pi\) | |||||||
\(384\) | 5.12350 | + | 5.35405i | 0.261458 | + | 0.273223i | ||||
\(385\) | −16.5682 | − | 18.6394i | −0.844392 | − | 0.949950i | ||||
\(386\) | 1.47526 | + | 0.710450i | 0.0750890 | + | 0.0361609i | ||||
\(387\) | −14.8819 | + | 27.7136i | −0.756490 | + | 1.40876i | ||||
\(388\) | 28.6328 | − | 8.83206i | 1.45361 | − | 0.448380i | ||||
\(389\) | −18.6018 | + | 8.95814i | −0.943147 | + | 0.454196i | −0.841278 | − | 0.540602i | \(-0.818196\pi\) |
−0.101869 | + | 0.994798i | \(0.532482\pi\) | |||||||
\(390\) | −1.52079 | − | 0.0904422i | −0.0770082 | − | 0.00457972i | ||||
\(391\) | 9.73052 | + | 16.8538i | 0.492093 | + | 0.852331i | ||||
\(392\) | −3.59415 | − | 1.27915i | −0.181532 | − | 0.0646070i | ||||
\(393\) | −24.7602 | − | 5.25158i | −1.24899 | − | 0.264907i | ||||
\(394\) | 0.785583 | − | 2.00163i | 0.0395771 | − | 0.100841i | ||||
\(395\) | −0.225395 | − | 0.153672i | −0.0113409 | − | 0.00773207i | ||||
\(396\) | −8.71180 | − | 20.3328i | −0.437784 | − | 1.02176i | ||||
\(397\) | −1.39840 | + | 18.6603i | −0.0701836 | + | 0.936535i | 0.845329 | + | 0.534246i | \(0.179404\pi\) |
−0.915513 | + | 0.402289i | \(0.868215\pi\) | |||||||
\(398\) | −0.334250 | + | 0.227888i | −0.0167545 | + | 0.0114230i | ||||
\(399\) | 14.9360 | − | 18.5018i | 0.747735 | − | 0.926249i | ||||
\(400\) | 4.54455 | + | 3.09842i | 0.227228 | + | 0.154921i | ||||
\(401\) | −16.2294 | + | 20.3511i | −0.810459 | + | 1.01628i | 0.188953 | + | 0.981986i | \(0.439491\pi\) |
−0.999412 | + | 0.0342972i | \(0.989081\pi\) | |||||||
\(402\) | 1.58072 | + | 1.22124i | 0.0788393 | + | 0.0609100i | ||||
\(403\) | −17.0943 | − | 21.4356i | −0.851530 | − | 1.06778i | ||||
\(404\) | −14.7565 | − | 4.55177i | −0.734163 | − | 0.226459i | ||||
\(405\) | 3.69464 | − | 22.4931i | 0.183588 | − | 1.11769i | ||||
\(406\) | −0.849646 | + | 0.466636i | −0.0421672 | + | 0.0231588i | ||||
\(407\) | −7.57438 | − | 19.2992i | −0.375448 | − | 0.956626i | ||||
\(408\) | 0.670059 | − | 4.96296i | 0.0331729 | − | 0.245703i | ||||
\(409\) | −9.78092 | − | 3.01701i | −0.483635 | − | 0.149182i | 0.0433433 | − | 0.999060i | \(-0.486199\pi\) |
−0.526979 | + | 0.849878i | \(0.676675\pi\) | |||||||
\(410\) | −0.582015 | + | 1.00808i | −0.0287437 | + | 0.0497855i | ||||
\(411\) | 19.3193 | + | 4.09757i | 0.952949 | + | 0.202118i | ||||
\(412\) | −14.7654 | − | 4.55451i | −0.727437 | − | 0.224385i | ||||
\(413\) | 20.0204 | − | 4.12171i | 0.985138 | − | 0.202816i | ||||
\(414\) | −1.49583 | − | 0.178547i | −0.0735161 | − | 0.00877512i | ||||
\(415\) | −23.4901 | − | 21.7956i | −1.15308 | − | 1.06990i | ||||
\(416\) | −2.56596 | + | 3.21761i | −0.125807 | + | 0.157757i | ||||
\(417\) | −9.49778 | − | 3.55982i | −0.465108 | − | 0.174325i | ||||
\(418\) | −0.588230 | + | 2.57720i | −0.0287713 | + | 0.126055i | ||||
\(419\) | 2.79360 | − | 0.861710i | 0.136476 | − | 0.0420973i | −0.225765 | − | 0.974182i | \(-0.572488\pi\) |
0.362241 | + | 0.932085i | \(0.382012\pi\) | |||||||
\(420\) | −20.6582 | − | 10.1006i | −1.00802 | − | 0.492860i | ||||
\(421\) | 7.35171 | + | 2.26770i | 0.358300 | + | 0.110521i | 0.468679 | − | 0.883369i | \(-0.344730\pi\) |
−0.110379 | + | 0.993890i | \(0.535206\pi\) | |||||||
\(422\) | −0.0577927 | + | 0.100100i | −0.00281331 | + | 0.00487279i | ||||
\(423\) | 0.976831 | + | 9.21603i | 0.0474951 | + | 0.448099i | ||||
\(424\) | 5.18199 | − | 4.80819i | 0.251660 | − | 0.233506i | ||||
\(425\) | −0.560882 | − | 7.48445i | −0.0272068 | − | 0.363049i | ||||
\(426\) | −2.20608 | − | 0.826851i | −0.106885 | − | 0.0400611i | ||||
\(427\) | −20.7943 | + | 7.65277i | −1.00631 | + | 0.370343i | ||||
\(428\) | −1.52262 | + | 3.87957i | −0.0735986 | + | 0.187526i | ||||
\(429\) | 14.0348 | − | 8.39376i | 0.677606 | − | 0.405255i | ||||
\(430\) | −2.26664 | − | 2.84227i | −0.109307 | − | 0.137067i | ||||
\(431\) | 0.989141 | + | 13.1992i | 0.0476452 | + | 0.635781i | 0.969000 | + | 0.247059i | \(0.0794643\pi\) |
−0.921355 | + | 0.388722i | \(0.872917\pi\) | |||||||
\(432\) | −14.4102 | − | 14.1589i | −0.693313 | − | 0.681220i | ||||
\(433\) | 13.8014 | − | 6.64640i | 0.663253 | − | 0.319406i | −0.0717965 | − | 0.997419i | \(-0.522873\pi\) |
0.735049 | + | 0.678014i | \(0.237159\pi\) | |||||||
\(434\) | 1.07356 | + | 3.76402i | 0.0515325 | + | 0.180679i | ||||
\(435\) | −10.8621 | + | 4.45729i | −0.520798 | + | 0.213711i | ||||
\(436\) | 9.11001 | − | 4.38715i | 0.436290 | − | 0.210106i | ||||
\(437\) | −13.9528 | − | 12.9463i | −0.667454 | − | 0.619306i | ||||
\(438\) | −0.568486 | + | 1.94905i | −0.0271633 | + | 0.0931293i | ||||
\(439\) | −7.07788 | + | 18.0341i | −0.337809 | + | 0.860723i | 0.656514 | + | 0.754314i | \(0.272030\pi\) |
−0.994322 | + | 0.106409i | \(0.966065\pi\) | |||||||
\(440\) | 5.13709 | 0.244901 | ||||||||
\(441\) | 19.9918 | + | 6.42866i | 0.951991 | + | 0.306127i | ||||
\(442\) | 1.84244 | 0.0876361 | ||||||||
\(443\) | 0.843958 | − | 2.15037i | 0.0400977 | − | 0.102167i | −0.909422 | − | 0.415874i | \(-0.863476\pi\) |
0.949520 | + | 0.313707i | \(0.101571\pi\) | |||||||
\(444\) | −13.2170 | − | 13.8118i | −0.627253 | − | 0.655479i | ||||
\(445\) | −23.1550 | − | 21.4847i | −1.09765 | − | 1.01847i | ||||
\(446\) | 1.52201 | − | 0.732963i | 0.0720695 | − | 0.0347068i | ||||
\(447\) | −19.9644 | − | 15.4242i | −0.944284 | − | 0.729539i | ||||
\(448\) | −17.5173 | + | 9.62074i | −0.827616 | + | 0.454537i | ||||
\(449\) | 14.3871 | − | 6.92848i | 0.678971 | − | 0.326975i | −0.0624186 | − | 0.998050i | \(-0.519881\pi\) |
0.741390 | + | 0.671075i | \(0.234167\pi\) | |||||||
\(450\) | 0.489883 | + | 0.312343i | 0.0230933 | + | 0.0147240i | ||||
\(451\) | −0.933747 | − | 12.4600i | −0.0439684 | − | 0.586718i | ||||
\(452\) | −12.3830 | − | 15.5278i | −0.582446 | − | 0.730364i | ||||
\(453\) | 0.363235 | + | 23.5860i | 0.0170663 | + | 1.10817i | ||||
\(454\) | 1.37568 | − | 3.50517i | 0.0645637 | − | 0.164506i | ||||
\(455\) | 5.35667 | − | 16.1340i | 0.251124 | − | 0.756375i | ||||
\(456\) | 0.804513 | + | 4.83154i | 0.0376748 | + | 0.226258i | ||||
\(457\) | 2.17060 | + | 28.9646i | 0.101536 | + | 1.35491i | 0.782527 | + | 0.622616i | \(0.213930\pi\) |
−0.680991 | + | 0.732292i | \(0.738451\pi\) | |||||||
\(458\) | 0.199074 | − | 0.184714i | 0.00930212 | − | 0.00863111i | ||||
\(459\) | −2.84540 | + | 27.4197i | −0.132812 | + | 1.27984i | ||||
\(460\) | −9.20362 | + | 15.9411i | −0.429121 | + | 0.743260i | ||||
\(461\) | 8.55010 | + | 2.63736i | 0.398218 | + | 0.122834i | 0.487395 | − | 0.873182i | \(-0.337947\pi\) |
−0.0891766 | + | 0.996016i | \(0.528424\pi\) | |||||||
\(462\) | −2.31058 | + | 0.334190i | −0.107498 | + | 0.0155479i | ||||
\(463\) | 20.2679 | − | 6.25182i | 0.941930 | − | 0.290547i | 0.214496 | − | 0.976725i | \(-0.431189\pi\) |
0.727434 | + | 0.686178i | \(0.240713\pi\) | |||||||
\(464\) | −2.31551 | + | 10.1449i | −0.107495 | + | 0.470965i | ||||
\(465\) | 7.78698 | + | 46.7651i | 0.361113 | + | 2.16868i | ||||
\(466\) | −0.258086 | + | 0.323630i | −0.0119556 | + | 0.0149919i | ||||
\(467\) | 24.2846 | + | 22.5328i | 1.12376 | + | 1.04269i | 0.998722 | + | 0.0505420i | \(0.0160949\pi\) |
0.125035 | + | 0.992152i | \(0.460096\pi\) | |||||||
\(468\) | 9.03415 | − | 12.0732i | 0.417604 | − | 0.558084i | ||||
\(469\) | −17.7197 | + | 13.5221i | −0.818221 | + | 0.624392i | ||||
\(470\) | −1.02347 | − | 0.315699i | −0.0472092 | − | 0.0145621i | ||||
\(471\) | −11.8490 | + | 13.1713i | −0.545974 | + | 0.606901i | ||||
\(472\) | −2.10524 | + | 3.64639i | −0.0969017 | + | 0.167839i | ||||
\(473\) | 37.2895 | + | 11.5023i | 1.71457 | + | 0.528875i | ||||
\(474\) | −0.0236261 | + | 0.00969502i | −0.00108518 | + | 0.000445307i | ||||
\(475\) | 2.68186 | + | 6.83326i | 0.123052 | + | 0.313532i | ||||
\(476\) | 25.6645 | + | 10.7107i | 1.17633 | + | 0.490923i | ||||
\(477\) | −27.6963 | + | 27.3330i | −1.26812 | + | 1.25149i | ||||
\(478\) | −1.58729 | − | 0.489614i | −0.0726009 | − | 0.0223944i | ||||
\(479\) | −21.0073 | − | 26.3424i | −0.959850 | − | 1.20361i | −0.979013 | − | 0.203797i | \(-0.934672\pi\) |
0.0191633 | − | 0.999816i | \(-0.493900\pi\) | |||||||
\(480\) | 6.58362 | − | 2.70160i | 0.300500 | − | 0.123311i | ||||
\(481\) | 8.81163 | − | 11.0494i | 0.401776 | − | 0.503811i | ||||
\(482\) | 1.25558 | + | 0.856040i | 0.0571901 | + | 0.0389915i | ||||
\(483\) | 6.23456 | − | 15.6111i | 0.283682 | − | 0.710330i | ||||
\(484\) | −4.66628 | + | 3.18142i | −0.212104 | + | 0.144610i | ||||
\(485\) | 2.86249 | − | 38.1972i | 0.129979 | − | 1.73445i | ||||
\(486\) | −1.56746 | − | 1.44799i | −0.0711013 | − | 0.0656824i | ||||
\(487\) | 19.8430 | + | 13.5287i | 0.899171 | + | 0.613045i | 0.922210 | − | 0.386690i | \(-0.126382\pi\) |
−0.0230383 | + | 0.999735i | \(0.507334\pi\) | |||||||
\(488\) | 1.66752 | − | 4.24878i | 0.0754852 | − | 0.192333i | ||||
\(489\) | −6.05123 | + | 6.72651i | −0.273646 | + | 0.304183i | ||||
\(490\) | −1.59284 | + | 1.83111i | −0.0719570 | + | 0.0827213i | ||||
\(491\) | −3.87471 | − | 6.71119i | −0.174863 | − | 0.302872i | 0.765251 | − | 0.643732i | \(-0.222615\pi\) |
−0.940114 | + | 0.340860i | \(0.889282\pi\) | |||||||
\(492\) | −5.15817 | − | 10.3022i | −0.232548 | − | 0.464457i | ||||
\(493\) | 12.7931 | − | 6.16083i | 0.576172 | − | 0.277470i | ||||
\(494\) | −1.72194 | + | 0.531149i | −0.0774739 | + | 0.0238975i | ||||
\(495\) | −28.2642 | + | 0.870769i | −1.27038 | + | 0.0391382i | ||||
\(496\) | 37.8563 | + | 18.2306i | 1.69980 | + | 0.818579i | ||||
\(497\) | 15.2699 | − | 21.4000i | 0.684946 | − | 0.959920i | ||||
\(498\) | −2.91399 | + | 0.712481i | −0.130579 | + | 0.0319270i | ||||
\(499\) | 19.6361 | − | 24.6229i | 0.879034 | − | 1.10227i | −0.115017 | − | 0.993364i | \(-0.536692\pi\) |
0.994052 | − | 0.108911i | \(-0.0347363\pi\) | |||||||
\(500\) | −14.8648 | + | 10.1347i | −0.664775 | + | 0.453236i | ||||
\(501\) | 18.4585 | − | 27.9902i | 0.824667 | − | 1.25051i | ||||
\(502\) | 1.14451 | − | 1.06195i | 0.0510818 | − | 0.0473970i | ||||
\(503\) | 0.829596 | + | 1.04028i | 0.0369898 | + | 0.0463838i | 0.799982 | − | 0.600024i | \(-0.204842\pi\) |
−0.762993 | + | 0.646407i | \(0.776271\pi\) | |||||||
\(504\) | −3.72567 | + | 2.19816i | −0.165954 | + | 0.0979137i | ||||
\(505\) | −12.3082 | + | 15.4340i | −0.547709 | + | 0.686805i | ||||
\(506\) | 0.139657 | + | 1.86359i | 0.00620850 | + | 0.0828466i | ||||
\(507\) | −9.93220 | − | 5.53221i | −0.441105 | − | 0.245694i | ||||
\(508\) | 0.116144 | − | 0.201167i | 0.00515304 | − | 0.00892533i | ||||
\(509\) | 4.78004 | 0.211872 | 0.105936 | − | 0.994373i | \(-0.466216\pi\) | ||||
0.105936 | + | 0.994373i | \(0.466216\pi\) | |||||||
\(510\) | −2.78327 | − | 1.55027i | −0.123245 | − | 0.0686473i | ||||
\(511\) | −19.3735 | − | 11.7440i | −0.857033 | − | 0.519526i | ||||
\(512\) | 2.34645 | − | 10.2805i | 0.103700 | − | 0.454338i | ||||
\(513\) | −5.24540 | − | 26.4467i | −0.231590 | − | 1.16765i | ||||
\(514\) | −0.642287 | − | 0.0968091i | −0.0283300 | − | 0.00427007i | ||||
\(515\) | −12.3156 | + | 15.4433i | −0.542692 | + | 0.680514i | ||||
\(516\) | 35.8363 | − | 3.24119i | 1.57760 | − | 0.142685i | ||||
\(517\) | 10.9861 | − | 3.38878i | 0.483170 | − | 0.149038i | ||||
\(518\) | −1.76846 | + | 0.971259i | −0.0777016 | + | 0.0426747i | ||||
\(519\) | −13.6936 | + | 8.18973i | −0.601084 | + | 0.359489i | ||||
\(520\) | 1.75092 | + | 3.03268i | 0.0767828 | + | 0.132992i | ||||
\(521\) | 5.23965 | + | 9.07534i | 0.229553 | + | 0.397598i | 0.957676 | − | 0.287849i | \(-0.0929401\pi\) |
−0.728122 | + | 0.685447i | \(0.759607\pi\) | |||||||
\(522\) | −0.211469 | + | 1.07861i | −0.00925573 | + | 0.0472095i | ||||
\(523\) | 32.3133 | − | 22.0308i | 1.41296 | − | 0.963341i | 0.414380 | − | 0.910104i | \(-0.363999\pi\) |
0.998582 | − | 0.0532369i | \(-0.0169538\pi\) | |||||||
\(524\) | 10.5777 | + | 26.9514i | 0.462087 | + | 1.17738i | ||||
\(525\) | −4.77860 | + | 4.38118i | −0.208555 | + | 0.191210i | ||||
\(526\) | 0.139278 | − | 0.354874i | 0.00607279 | − | 0.0154732i | ||||
\(527\) | −12.7582 | − | 55.8974i | −0.555756 | − | 2.43493i | ||||
\(528\) | −13.7972 | + | 20.9219i | −0.600447 | + | 0.910508i | ||||
\(529\) | 8.59882 | + | 4.14097i | 0.373862 | + | 0.180042i | ||||
\(530\) | −1.64297 | − | 4.18621i | −0.0713659 | − | 0.181837i | ||||
\(531\) | 10.9649 | − | 20.4193i | 0.475838 | − | 0.886120i | ||||
\(532\) | −27.0737 | − | 2.61147i | −1.17380 | − | 0.113222i | ||||
\(533\) | 7.03749 | − | 4.79808i | 0.304828 | − | 0.207828i | ||||
\(534\) | −2.87242 | + | 0.702317i | −0.124302 | + | 0.0303922i | ||||
\(535\) | 3.90548 | + | 3.62376i | 0.168849 | + | 0.156669i | ||||
\(536\) | 0.343122 | − | 4.57864i | 0.0148206 | − | 0.197767i | ||||
\(537\) | 6.36588 | − | 9.65311i | 0.274708 | − | 0.416562i | ||||
\(538\) | 0.935875 | − | 1.62098i | 0.0403484 | − | 0.0698855i | ||||
\(539\) | 3.05453 | − | 25.8717i | 0.131568 | − | 1.11437i | ||||
\(540\) | −23.8060 | + | 10.6367i | −1.02445 | + | 0.457733i | ||||
\(541\) | −21.6854 | + | 3.26854i | −0.932327 | + | 0.140526i | −0.597605 | − | 0.801791i | \(-0.703881\pi\) |
−0.334723 | + | 0.942317i | \(0.608643\pi\) | |||||||
\(542\) | 1.07688 | − | 0.518598i | 0.0462559 | − | 0.0222757i | ||||
\(543\) | 2.35119 | − | 5.08100i | 0.100899 | − | 0.218046i | ||||
\(544\) | −7.75401 | + | 3.73414i | −0.332451 | + | 0.160100i | ||||
\(545\) | −0.965943 | − | 12.8896i | −0.0413765 | − | 0.552130i | ||||
\(546\) | −0.984825 | − | 1.25015i | −0.0421466 | − | 0.0535014i | ||||
\(547\) | −2.11857 | + | 28.2703i | −0.0905833 | + | 1.20875i | 0.747896 | + | 0.663816i | \(0.231064\pi\) |
−0.838479 | + | 0.544934i | \(0.816555\pi\) | |||||||
\(548\) | −8.25325 | − | 21.0289i | −0.352561 | − | 0.898312i | ||||
\(549\) | −8.45450 | + | 23.6594i | −0.360829 | + | 1.00976i | ||||
\(550\) | 0.263315 | − | 0.670915i | 0.0112278 | − | 0.0286079i | ||||
\(551\) | −10.1803 | + | 9.44597i | −0.433697 | + | 0.402412i | ||||
\(552\) | 1.55027 | + | 3.09628i | 0.0659839 | + | 0.131786i | ||||
\(553\) | −0.0364443 | − | 0.282630i | −0.00154977 | − | 0.0120187i | ||||
\(554\) | −0.784259 | − | 0.118208i | −0.0333200 | − | 0.00502218i | ||||
\(555\) | −22.6085 | + | 9.27742i | −0.959676 | + | 0.393805i | ||||
\(556\) | 2.58177 | + | 11.3115i | 0.109491 | + | 0.479713i | ||||
\(557\) | 12.3050 | + | 21.3130i | 0.521381 | + | 0.903059i | 0.999691 | + | 0.0248676i | \(0.00791642\pi\) |
−0.478309 | + | 0.878191i | \(0.658750\pi\) | |||||||
\(558\) | 4.05609 | + | 1.80162i | 0.171708 | + | 0.0762686i | ||||
\(559\) | 5.91932 | + | 25.9342i | 0.250361 | + | 1.09690i | ||||
\(560\) | 3.33184 | + | 25.8389i | 0.140796 | + | 1.09189i | ||||
\(561\) | 34.0590 | − | 3.08045i | 1.43797 | − | 0.130057i | ||||
\(562\) | −0.754346 | + | 3.30501i | −0.0318202 | + | 0.139413i | ||||
\(563\) | −13.0010 | − | 33.1261i | −0.547928 | − | 1.39610i | −0.889800 | − | 0.456351i | \(-0.849156\pi\) |
0.341872 | − | 0.939747i | \(-0.388939\pi\) | |||||||
\(564\) | 8.18551 | − | 6.73652i | 0.344672 | − | 0.283659i | ||||
\(565\) | −24.2609 | + | 7.48349i | −1.02066 | + | 0.314833i | ||||
\(566\) | −0.670470 | + | 2.93752i | −0.0281819 | + | 0.123473i | ||||
\(567\) | 20.1260 | − | 12.7258i | 0.845212 | − | 0.534432i | ||||
\(568\) | 1.20503 | + | 5.27956i | 0.0505618 | + | 0.221526i | ||||
\(569\) | 15.4988 | + | 26.8447i | 0.649743 | + | 1.12539i | 0.983184 | + | 0.182618i | \(0.0584570\pi\) |
−0.333441 | + | 0.942771i | \(0.608210\pi\) | |||||||
\(570\) | 3.04816 | + | 0.646507i | 0.127673 | + | 0.0270792i | ||||
\(571\) | −4.22579 | − | 1.30348i | −0.176844 | − | 0.0545490i | 0.205069 | − | 0.978748i | \(-0.434258\pi\) |
−0.381912 | + | 0.924199i | \(0.624734\pi\) | |||||||
\(572\) | −16.8537 | − | 8.11633i | −0.704690 | − | 0.339361i | ||||
\(573\) | 13.9590 | + | 5.23189i | 0.583144 | + | 0.218565i | ||||
\(574\) | −1.19100 | + | 0.245198i | −0.0497112 | + | 0.0102344i | ||||
\(575\) | 3.23561 | + | 4.05733i | 0.134934 | + | 0.169202i | ||||
\(576\) | −4.35990 | + | 22.2379i | −0.181662 | + | 0.926581i | ||||
\(577\) | −9.22244 | + | 23.4984i | −0.383935 | + | 0.978251i | 0.600044 | + | 0.799967i | \(0.295150\pi\) |
−0.983979 | + | 0.178284i | \(0.942945\pi\) | |||||||
\(578\) | 1.37467 | + | 0.662007i | 0.0571788 | + | 0.0275359i | ||||
\(579\) | 3.40294 | + | 20.4365i | 0.141421 | + | 0.849313i | ||||
\(580\) | 11.0967 | + | 7.56561i | 0.460766 | + | 0.314145i | ||||
\(581\) | 0.714966 | − | 33.4666i | 0.0296618 | − | 1.38843i | ||||
\(582\) | −2.83764 | − | 2.19232i | −0.117624 | − | 0.0908745i | ||||
\(583\) | 39.8846 | + | 27.1929i | 1.65185 | + | 1.12621i | ||||
\(584\) | 4.45941 | − | 1.37554i | 0.184531 | − | 0.0569204i | ||||
\(585\) | −10.1476 | − | 16.3890i | −0.419551 | − | 0.677601i | ||||
\(586\) | 0.979039 | − | 0.147566i | 0.0404437 | − | 0.00609591i | ||||
\(587\) | 10.6449 | − | 18.4375i | 0.439362 | − | 0.760998i | −0.558278 | − | 0.829654i | \(-0.688538\pi\) |
0.997640 | + | 0.0686558i | \(0.0218710\pi\) | |||||||
\(588\) | −6.45075 | − | 23.1392i | −0.266025 | − | 0.954243i | ||||
\(589\) | 28.0382 | + | 48.5636i | 1.15529 | + | 2.00103i | ||||
\(590\) | 1.67005 | + | 2.09418i | 0.0687549 | + | 0.0862159i | ||||
\(591\) | 26.4284 | − | 6.46184i | 1.08712 | − | 0.265804i | ||||
\(592\) | −4.81951 | + | 21.1157i | −0.198081 | + | 0.867849i | ||||
\(593\) | 0.103199 | − | 1.37709i | 0.00423787 | − | 0.0565504i | −0.994684 | − | 0.102975i | \(-0.967164\pi\) |
0.998922 | + | 0.0464248i | \(0.0147828\pi\) | |||||||
\(594\) | −1.38863 | + | 2.25377i | −0.0569762 | + | 0.0924732i | ||||
\(595\) | 24.7315 | − | 25.5379i | 1.01389 | − | 1.04695i | ||||
\(596\) | −2.15660 | + | 28.7778i | −0.0883378 | + | 1.17879i | ||||
\(597\) | −4.79301 | − | 1.79645i | −0.196165 | − | 0.0735236i | ||||
\(598\) | −1.05257 | + | 0.717629i | −0.0430427 | + | 0.0293460i | ||||
\(599\) | 31.5026 | − | 4.74826i | 1.28716 | − | 0.194009i | 0.530427 | − | 0.847730i | \(-0.322031\pi\) |
0.756735 | + | 0.653722i | \(0.226793\pi\) | |||||||
\(600\) | −0.0205639 | − | 1.33528i | −0.000839520 | − | 0.0545127i | ||||
\(601\) | 3.19479 | − | 0.481537i | 0.130318 | − | 0.0196423i | −0.0835592 | − | 0.996503i | \(-0.526629\pi\) |
0.213877 | + | 0.976861i | \(0.431391\pi\) | |||||||
\(602\) | 0.646086 | − | 3.74227i | 0.0263325 | − | 0.152524i | ||||
\(603\) | −1.11174 | + | 25.2498i | −0.0452737 | + | 1.02825i | ||||
\(604\) | 22.2942 | − | 15.1999i | 0.907139 | − | 0.618477i | ||||
\(605\) | 1.60651 | + | 7.03858i | 0.0653139 | + | 0.286159i | ||||
\(606\) | 0.571850 | + | 1.75735i | 0.0232298 | + | 0.0713873i | ||||
\(607\) | −27.5974 | −1.12014 | −0.560072 | − | 0.828444i | \(-0.689227\pi\) | ||||
−0.560072 | + | 0.828444i | \(0.689227\pi\) | |||||||
\(608\) | 6.17039 | − | 5.72528i | 0.250242 | − | 0.232191i | ||||
\(609\) | −11.0185 | − | 5.38737i | −0.446491 | − | 0.218307i | ||||
\(610\) | −2.12851 | − | 1.97497i | −0.0861810 | − | 0.0799642i | ||||
\(611\) | 5.74507 | + | 5.33064i | 0.232420 | + | 0.215655i | ||||
\(612\) | 27.9758 | − | 14.5502i | 1.13085 | − | 0.588157i | ||||
\(613\) | −45.9903 | − | 6.93192i | −1.85753 | − | 0.279977i | −0.877610 | − | 0.479375i | \(-0.840863\pi\) |
−0.979919 | + | 0.199397i | \(0.936102\pi\) | |||||||
\(614\) | −1.36642 | + | 0.421486i | −0.0551444 | + | 0.0170098i | ||||
\(615\) | −14.6683 | + | 1.32667i | −0.591485 | + | 0.0534965i | ||||
\(616\) | 3.56518 | + | 4.01086i | 0.143645 | + | 0.161602i | ||||
\(617\) | 15.2309 | − | 14.1322i | 0.613173 | − | 0.568941i | −0.311242 | − | 0.950331i | \(-0.600745\pi\) |
0.924414 | + | 0.381390i | \(0.124554\pi\) | |||||||
\(618\) | 0.572194 | + | 1.75840i | 0.0230170 | + | 0.0707333i | ||||
\(619\) | 8.87468 | 0.356704 | 0.178352 | − | 0.983967i | \(-0.442923\pi\) | ||||
0.178352 | + | 0.983967i | \(0.442923\pi\) | |||||||
\(620\) | 39.7536 | − | 36.8859i | 1.59654 | − | 1.48137i | ||||
\(621\) | −9.05441 | − | 16.7729i | −0.363341 | − | 0.673074i | ||||
\(622\) | 0.927686 | − | 1.16328i | 0.0371968 | − | 0.0466434i | ||||
\(623\) | 0.704767 | − | 32.9892i | 0.0282359 | − | 1.32168i | ||||
\(624\) | −17.0539 | − | 1.01420i | −0.682701 | − | 0.0406006i | ||||
\(625\) | 6.69168 | + | 29.3182i | 0.267667 | + | 1.17273i | ||||
\(626\) | 2.07867 | − | 0.313310i | 0.0830805 | − | 0.0125224i | ||||
\(627\) | −30.9434 | + | 12.6977i | −1.23576 | + | 0.507097i | ||||
\(628\) | 20.0395 | + | 3.02047i | 0.799662 | + | 0.120530i | ||||
\(629\) | 26.6276 | − | 12.8232i | 1.06171 | − | 0.511294i | ||||
\(630\) | 0.435814 | + | 2.71718i | 0.0173633 | + | 0.108255i | ||||
\(631\) | 32.6992 | + | 15.7471i | 1.30174 | + | 0.626883i | 0.950884 | − | 0.309548i | \(-0.100178\pi\) |
0.350852 | + | 0.936431i | \(0.385892\pi\) | |||||||
\(632\) | 0.0485011 | + | 0.0330675i | 0.00192927 | + | 0.00131535i | ||||
\(633\) | −1.45653 | + | 0.131735i | −0.0578919 | + | 0.00523600i | ||||
\(634\) | 0.0278918 | − | 0.372190i | 0.00110773 | − | 0.0147816i | ||||
\(635\) | −0.185141 | − | 0.232159i | −0.00734708 | − | 0.00921295i | ||||
\(636\) | 43.5425 | + | 9.23526i | 1.72657 | + | 0.366202i | ||||
\(637\) | 16.3145 | − | 7.01483i | 0.646402 | − | 0.277938i | ||||
\(638\) | 1.36354 | 0.0539829 | ||||||||
\(639\) | −7.52496 | − | 28.8438i | −0.297683 | − | 1.14104i | ||||
\(640\) | −8.95331 | − | 6.10426i | −0.353911 | − | 0.241292i | ||||
\(641\) | −4.53646 | + | 19.8755i | −0.179179 | + | 0.785035i | 0.802831 | + | 0.596207i | \(0.203326\pi\) |
−0.982010 | + | 0.188829i | \(0.939531\pi\) | |||||||
\(642\) | 0.484483 | − | 0.118458i | 0.0191210 | − | 0.00467515i | ||||
\(643\) | 0.154954 | + | 2.06771i | 0.00611078 | + | 0.0815427i | 0.999425 | − | 0.0338963i | \(-0.0107916\pi\) |
−0.993315 | + | 0.115439i | \(0.963173\pi\) | |||||||
\(644\) | −18.8337 | + | 3.87740i | −0.742151 | + | 0.152791i | ||||
\(645\) | 12.8797 | − | 44.1580i | 0.507138 | − | 1.73872i | ||||
\(646\) | −3.72626 | − | 0.561643i | −0.146608 | − | 0.0220975i | ||||
\(647\) | 2.57789 | + | 34.3996i | 0.101347 | + | 1.35239i | 0.783598 | + | 0.621268i | \(0.213382\pi\) |
−0.682250 | + | 0.731119i | \(0.738999\pi\) | |||||||
\(648\) | −0.795022 | + | 4.84013i | −0.0312314 | + | 0.190138i | ||||
\(649\) | −27.4748 | − | 8.47484i | −1.07848 | − | 0.332667i | ||||
\(650\) | 0.485822 | − | 0.0732259i | 0.0190555 | − | 0.00287216i | ||||
\(651\) | −31.1083 | + | 38.5351i | −1.21923 | + | 1.51031i | ||||
\(652\) | 10.2341 | + | 1.54254i | 0.400797 | + | 0.0604104i | ||||
\(653\) | 24.5288 | + | 11.8124i | 0.959886 | + | 0.462257i | 0.847142 | − | 0.531367i | \(-0.178322\pi\) |
0.112745 | + | 0.993624i | \(0.464036\pi\) | |||||||
\(654\) | −1.05713 | − | 0.588816i | −0.0413369 | − | 0.0230245i | ||||
\(655\) | 37.0116 | 1.44616 | ||||||||
\(656\) | −6.52661 | + | 11.3044i | −0.254821 | + | 0.441364i | ||||
\(657\) | −24.3024 | + | 8.32413i | −0.948128 | + | 0.324755i | ||||
\(658\) | −0.463810 | − | 1.01819i | −0.0180812 | − | 0.0396931i | ||||
\(659\) | −29.0369 | − | 26.9423i | −1.13112 | − | 1.04952i | −0.998294 | − | 0.0583827i | \(-0.981406\pi\) |
−0.132822 | − | 0.991140i | \(-0.542404\pi\) | |||||||
\(660\) | 18.6307 | + | 26.4420i | 0.725198 | + | 1.02925i | ||||
\(661\) | −4.93113 | − | 12.5643i | −0.191799 | − | 0.488695i | 0.802332 | − | 0.596878i | \(-0.203592\pi\) |
−0.994131 | + | 0.108182i | \(0.965497\pi\) | |||||||
\(662\) | 1.27526 | + | 3.24930i | 0.0495642 | + | 0.126288i | ||||
\(663\) | 13.4272 | + | 19.0568i | 0.521468 | + | 0.740104i | ||||
\(664\) | 5.05465 | + | 4.69003i | 0.196159 | + | 0.182009i | ||||
\(665\) | −15.7519 | + | 30.9974i | −0.610831 | + | 1.20203i | ||||
\(666\) | −0.440152 | + | 2.24502i | −0.0170555 | + | 0.0869929i | ||||
\(667\) | −4.90893 | + | 8.50252i | −0.190075 | + | 0.329219i | ||||
\(668\) | −38.3528 | −1.48391 | ||||||||
\(669\) | 18.6732 | + | 10.4009i | 0.721947 | + | 0.402122i | ||||
\(670\) | −2.63166 | − | 1.26734i | −0.101670 | − | 0.0489617i | ||||
\(671\) | 30.8200 | + | 4.64537i | 1.18979 | + | 0.179333i | ||||
\(672\) | 6.67840 | + | 3.26533i | 0.257625 | + | 0.125963i | ||||
\(673\) | −16.4388 | + | 2.47775i | −0.633669 | + | 0.0955103i | −0.458019 | − | 0.888942i | \(-0.651441\pi\) |
−0.175650 | + | 0.984453i | \(0.556203\pi\) | |||||||
\(674\) | −2.11802 | − | 0.653321i | −0.0815829 | − | 0.0251650i | ||||
\(675\) | 0.339482 | + | 7.34323i | 0.0130667 | + | 0.282641i | ||||
\(676\) | 0.971849 | + | 12.9684i | 0.0373788 | + | 0.498785i | ||||
\(677\) | −10.7090 | − | 1.61412i | −0.411580 | − | 0.0620356i | −0.0600108 | − | 0.998198i | \(-0.519114\pi\) |
−0.351569 | + | 0.936162i | \(0.614352\pi\) | |||||||
\(678\) | −0.665513 | + | 2.28171i | −0.0255589 | + | 0.0876284i | ||||
\(679\) | 31.8096 | − | 24.2742i | 1.22074 | − | 0.931559i | ||||
\(680\) | 0.547252 | + | 7.30257i | 0.0209861 | + | 0.280041i | ||||
\(681\) | 46.2802 | − | 11.3157i | 1.77346 | − | 0.433617i | ||||
\(682\) | 1.22515 | − | 5.36774i | 0.0469135 | − | 0.205541i | ||||
\(683\) | −35.0104 | − | 23.8697i | −1.33963 | − | 0.913347i | −0.340001 | − | 0.940425i | \(-0.610427\pi\) |
−0.999633 | + | 0.0270777i | \(0.991380\pi\) | |||||||
\(684\) | −21.9515 | + | 21.6636i | −0.839337 | + | 0.828328i | ||||
\(685\) | −28.8784 | −1.10339 | ||||||||
\(686\) | −2.53511 | + | 0.0271743i | −0.0967910 | + | 0.00103752i | ||||
\(687\) | 3.36133 | + | 0.712929i | 0.128243 | + | 0.0271999i | ||||
\(688\) | −25.4177 | − | 31.8727i | −0.969039 | − | 1.21514i | ||||
\(689\) | −2.45909 | + | 32.8142i | −0.0936837 | + | 1.25012i | ||||
\(690\) | 2.19388 | − | 0.198425i | 0.0835197 | − | 0.00755389i | ||||
\(691\) | 2.22947 | + | 1.52003i | 0.0848132 | + | 0.0578246i | 0.604984 | − | 0.796237i | \(-0.293179\pi\) |
−0.520171 | + | 0.854062i | \(0.674132\pi\) | |||||||
\(692\) | 16.4441 | + | 7.91904i | 0.625110 | + | 0.301037i | ||||
\(693\) | −20.2954 | − | 21.4634i | −0.770960 | − | 0.815327i | ||||
\(694\) | −3.24588 | + | 1.56313i | −0.123212 | + | 0.0593357i | ||||
\(695\) | 14.6661 | + | 2.21056i | 0.556318 | + | 0.0838515i | ||||
\(696\) | 2.33734 | − | 0.959130i | 0.0885965 | − | 0.0363557i | ||||
\(697\) | 17.6129 | − | 2.65471i | 0.667135 | − | 0.100554i | ||||
\(698\) | −0.385289 | − | 1.68806i | −0.0145834 | − | 0.0638941i | ||||
\(699\) | −5.22823 | − | 0.310926i | −0.197750 | − | 0.0117603i | ||||
\(700\) | 7.19300 | + | 1.80422i | 0.271870 | + | 0.0681931i | ||||
\(701\) | 3.76216 | − | 4.71759i | 0.142095 | − | 0.178181i | −0.705692 | − | 0.708519i | \(-0.749364\pi\) |
0.847786 | + | 0.530338i | \(0.177935\pi\) | |||||||
\(702\) | −1.80381 | − | 0.0516069i | −0.0680804 | − | 0.00194778i | ||||
\(703\) | −21.1894 | + | 19.6609i | −0.799173 | + | 0.741525i | ||||
\(704\) | 28.1123 | 1.05952 | ||||||||
\(705\) | −4.19341 | − | 12.8867i | −0.157933 | − | 0.485342i | ||||
\(706\) | −0.306648 | + | 0.284527i | −0.0115408 | + | 0.0107083i | ||||
\(707\) | −20.5924 | + | 1.10149i | −0.774455 | + | 0.0414259i | ||||
\(708\) | −26.4040 | + | 2.38810i | −0.992324 | + | 0.0897502i | ||||
\(709\) | 9.68833 | − | 2.98845i | 0.363853 | − | 0.112234i | −0.107438 | − | 0.994212i | \(-0.534265\pi\) |
0.471290 | + | 0.881978i | \(0.343788\pi\) | |||||||
\(710\) | 3.40656 | + | 0.513456i | 0.127846 | + | 0.0192696i | ||||
\(711\) | −0.272458 | − | 0.173716i | −0.0102180 | − | 0.00651485i | ||||
\(712\) | 4.98255 | + | 4.62313i | 0.186729 | + | 0.173259i | ||||
\(713\) | 29.0606 | + | 26.9643i | 1.08833 | + | 1.00982i | ||||
\(714\) | −0.721210 | − | 3.24898i | −0.0269906 | − | 0.121590i | ||||
\(715\) | −17.5294 | + | 16.2649i | −0.655564 | + | 0.608274i | ||||
\(716\) | −13.2269 | −0.494312 | ||||||||
\(717\) | −6.50350 | − | 19.9858i | −0.242878 | − | 0.746385i | ||||
\(718\) | 0.364889 | + | 1.59868i | 0.0136175 | + | 0.0596624i | ||||
\(719\) | 20.5211 | − | 13.9910i | 0.765308 | − | 0.521778i | −0.116612 | − | 0.993178i | \(-0.537203\pi\) |
0.881920 | + | 0.471400i | \(0.156251\pi\) | |||||||
\(720\) | 24.9089 | + | 15.8816i | 0.928299 | + | 0.591872i | ||||
\(721\) | −20.6047 | + | 1.10216i | −0.767361 | + | 0.0410464i | ||||
\(722\) | 1.07259 | − | 0.161667i | 0.0399176 | − | 0.00601661i | ||||
\(723\) | 0.296078 | + | 19.2253i | 0.0110113 | + | 0.714997i | ||||
\(724\) | −6.33264 | + | 0.954491i | −0.235351 | + | 0.0354734i | ||||
\(725\) | 3.12848 | − | 2.13296i | 0.116189 | − | 0.0792161i | ||||
\(726\) | 0.632872 | + | 0.237204i | 0.0234881 | + | 0.00880345i | ||||
\(727\) | −0.260428 | + | 3.47516i | −0.00965872 | + | 0.128887i | −0.999949 | − | 0.0101305i | \(-0.996775\pi\) |
0.990290 | + | 0.139017i | \(0.0443943\pi\) | |||||||
\(728\) | −1.15266 | + | 3.47176i | −0.0427204 | + | 0.128672i | ||||
\(729\) | 3.55377 | − | 26.7651i | 0.131621 | − | 0.991300i | ||||
\(730\) | 0.221859 | − | 2.96050i | 0.00821136 | − | 0.109573i | ||||
\(731\) | −12.3785 | + | 54.2337i | −0.457835 | + | 2.00591i | ||||
\(732\) | 27.9172 | − | 6.82585i | 1.03185 | − | 0.252291i | ||||
\(733\) | 3.56989 | + | 4.47650i | 0.131857 | + | 0.165343i | 0.843377 | − | 0.537323i | \(-0.180564\pi\) |
−0.711520 | + | 0.702666i | \(0.751993\pi\) | |||||||
\(734\) | −0.332840 | − | 0.576496i | −0.0122854 | − | 0.0212789i | ||||
\(735\) | −30.5477 | − | 3.13046i | −1.12677 | − | 0.115469i | ||||
\(736\) | 2.97535 | − | 5.15345i | 0.109673 | − | 0.189959i | ||||
\(737\) | 31.0036 | − | 4.67304i | 1.14203 | − | 0.172134i | ||||
\(738\) | −0.652297 | + | 1.21473i | −0.0240114 | + | 0.0447147i | ||||
\(739\) | −1.66706 | + | 0.514221i | −0.0613239 | + | 0.0189159i | −0.325265 | − | 0.945623i | \(-0.605454\pi\) |
0.263941 | + | 0.964539i | \(0.414977\pi\) | |||||||
\(740\) | 23.0968 | + | 15.7471i | 0.849054 | + | 0.578875i | ||||
\(741\) | −18.0428 | − | 13.9396i | −0.662819 | − | 0.512083i | ||||
\(742\) | 2.12822 | − | 4.18803i | 0.0781293 | − | 0.153747i | ||||
\(743\) | 28.0198 | + | 19.1036i | 1.02795 | + | 0.700842i | 0.955034 | − | 0.296496i | \(-0.0958183\pi\) |
0.0729124 | + | 0.997338i | \(0.476771\pi\) | |||||||
\(744\) | −1.67562 | − | 10.0630i | −0.0614313 | − | 0.368928i | ||||
\(745\) | 33.2377 | + | 16.0064i | 1.21774 | + | 0.586431i | ||||
\(746\) | −0.691672 | + | 1.76235i | −0.0253239 | + | 0.0645243i | ||||
\(747\) | −28.6056 | − | 24.9477i | −1.04663 | − | 0.912789i | ||||
\(748\) | −24.3900 | − | 30.5841i | −0.891786 | − | 1.11826i | ||||
\(749\) | −0.118871 | + | 5.56418i | −0.00434345 | + | 0.203311i | ||||
\(750\) | 2.01606 | + | 0.755631i | 0.0736162 | + | 0.0275918i | ||||
\(751\) | −27.7983 | − | 13.3870i | −1.01437 | − | 0.488497i | −0.148582 | − | 0.988900i | \(-0.547471\pi\) |
−0.865793 | + | 0.500403i | \(0.833185\pi\) | |||||||
\(752\) | −11.4770 | − | 3.54019i | −0.418524 | − | 0.129098i | ||||
\(753\) | 19.3248 | + | 4.09873i | 0.704234 | + | 0.149366i | ||||
\(754\) | 0.464745 | + | 0.804963i | 0.0169250 | + | 0.0293150i | ||||
\(755\) | −7.67546 | − | 33.6284i | −0.279339 | − | 1.22386i | ||||
\(756\) | −24.8264 | − | 11.2050i | −0.902926 | − | 0.407520i | ||||
\(757\) | 6.38553 | − | 27.9768i | 0.232086 | − | 1.01683i | −0.715820 | − | 0.698285i | \(-0.753947\pi\) |
0.947906 | − | 0.318550i | \(-0.103196\pi\) | |||||||
\(758\) | 2.37209 | − | 0.731694i | 0.0861583 | − | 0.0265763i | ||||
\(759\) | −18.2577 | + | 15.0258i | −0.662714 | + | 0.545401i | ||||
\(760\) | −2.61668 | − | 6.66720i | −0.0949171 | − | 0.241845i | ||||
\(761\) | −8.30715 | + | 36.3960i | −0.301134 | + | 1.31935i | 0.567284 | + | 0.823522i | \(0.307994\pi\) |
−0.868418 | + | 0.495832i | \(0.834863\pi\) | |||||||
\(762\) | −0.0276853 | + | 0.00250399i | −0.00100293 | + | 9.07099e-5i | ||||
\(763\) | 9.39339 | − | 9.69966i | 0.340064 | − | 0.351151i | ||||
\(764\) | −3.79445 | − | 16.6246i | −0.137278 | − | 0.601456i | ||||
\(765\) | −4.24880 | − | 40.0859i | −0.153616 | − | 1.44931i | ||||
\(766\) | −1.11097 | − | 1.92426i | −0.0401411 | − | 0.0695264i | ||||
\(767\) | −4.36134 | − | 19.1083i | −0.157479 | − | 0.689959i | ||||
\(768\) | 23.2696 | − | 9.54872i | 0.839669 | − | 0.344560i | ||||
\(769\) | −41.1029 | − | 6.19527i | −1.48221 | − | 0.223407i | −0.642434 | − | 0.766341i | \(-0.722075\pi\) |
−0.839775 | + | 0.542934i | \(0.817313\pi\) | |||||||
\(770\) | 3.20379 | − | 1.17906i | 0.115456 | − | 0.0424905i | ||||
\(771\) | −3.67947 | − | 7.34883i | −0.132513 | − | 0.264662i | ||||
\(772\) | 17.3725 | − | 16.1193i | 0.625249 | − | 0.580146i | ||||
\(773\) | 16.3050 | − | 41.5444i | 0.586449 | − | 1.49425i | −0.262051 | − | 0.965054i | \(-0.584399\pi\) |
0.848500 | − | 0.529195i | \(-0.177506\pi\) | |||||||
\(774\) | −2.78722 | − | 3.28238i | −0.100184 | − | 0.117983i | ||||
\(775\) | −5.58571 | − | 14.2322i | −0.200645 | − | 0.511234i | ||||
\(776\) | −0.615956 | + | 8.21937i | −0.0221115 | + | 0.295058i | ||||
\(777\) | −22.9339 | − | 11.2133i | −0.822750 | − | 0.402275i | ||||
\(778\) | −0.211210 | − | 2.81840i | −0.00757225 | − | 0.101045i | ||||
\(779\) | −15.6956 | + | 7.55863i | −0.562355 | + | 0.270816i | ||||
\(780\) | −9.25996 | + | 20.0111i | −0.331560 | + | 0.716511i | ||||
\(781\) | −33.3175 | + | 16.0449i | −1.19220 | + | 0.574131i | ||||
\(782\) | −2.63428 | + | 0.397055i | −0.0942018 | + | 0.0141986i | ||||
\(783\) | −12.6974 | + | 5.67332i | −0.453769 | + | 0.202748i | ||||
\(784\) | −17.8618 | + | 20.5338i | −0.637921 | + | 0.733349i | ||||
\(785\) | 12.9533 | − | 22.4358i | 0.462324 | − | 0.800769i | ||||
\(786\) | 1.90751 | − | 2.89251i | 0.0680385 | − | 0.103172i | ||||
\(787\) | −0.905388 | + | 12.0816i | −0.0322736 | + | 0.430661i | 0.957541 | + | 0.288298i | \(0.0930892\pi\) |
−0.989814 | + | 0.142364i | \(0.954530\pi\) | |||||||
\(788\) | −22.8137 | − | 21.1680i | −0.812703 | − | 0.754078i | ||||
\(789\) | 4.68555 | − | 1.14563i | 0.166810 | − | 0.0407856i | ||||
\(790\) | 0.0308546 | − | 0.0210363i | 0.00109776 | − | 0.000748438i | ||||
\(791\) | −22.6801 | − | 13.7485i | −0.806411 | − | 0.488839i | ||||
\(792\) | 6.08196 | − | 0.187374i | 0.216113 | − | 0.00665805i | ||||
\(793\) | 7.76226 | + | 19.7779i | 0.275646 | + | 0.702334i | ||||
\(794\) | −2.30792 | − | 1.11143i | −0.0819049 | − | 0.0394433i | ||||
\(795\) | 31.3254 | − | 47.5014i | 1.11100 | − | 1.68470i | ||||
\(796\) | 1.30288 | + | 5.70828i | 0.0461793 | + | 0.202325i | ||||
\(797\) | −10.0883 | + | 25.7046i | −0.357346 | + | 0.910504i | 0.633282 | + | 0.773921i | \(0.281707\pi\) |
−0.990629 | + | 0.136583i | \(0.956388\pi\) | |||||||
\(798\) | 1.61067 | + | 2.82858i | 0.0570173 | + | 0.100131i | ||||
\(799\) | 5.98762 | + | 15.2562i | 0.211827 | + | 0.539726i | ||||
\(800\) | −1.89620 | + | 1.29281i | −0.0670407 | + | 0.0457076i | ||||
\(801\) | −28.1976 | − | 24.5918i | −0.996312 | − | 0.868910i | ||||
\(802\) | −1.78163 | − | 3.08588i | −0.0629117 | − | 0.108966i | ||||
\(803\) | 15.9338 | + | 27.5982i | 0.562293 | + | 0.973921i | ||||
\(804\) | 24.8119 | − | 14.8392i | 0.875048 | − | 0.523339i | ||||
\(805\) | −4.18189 | + | 24.2225i | −0.147392 | + | 0.853730i | ||||
\(806\) | 3.58642 | − | 1.10626i | 0.126326 | − | 0.0389665i | ||||
\(807\) | 23.5866 | − | 2.13327i | 0.830286 | − | 0.0750948i | ||||
\(808\) | 2.64851 | − | 3.32113i | 0.0931744 | − | 0.116837i | ||||
\(809\) | −18.1606 | − | 2.73727i | −0.638493 | − | 0.0962373i | −0.178185 | − | 0.983997i | \(-0.557023\pi\) |
−0.460307 | + | 0.887760i | \(0.652261\pi\) | |||||||
\(810\) | 2.68149 | + | 1.59573i | 0.0942178 | + | 0.0560681i | ||||
\(811\) | −1.39655 | + | 6.11870i | −0.0490396 | + | 0.214857i | −0.993511 | − | 0.113738i | \(-0.963718\pi\) |
0.944471 | + | 0.328594i | \(0.106575\pi\) | |||||||
\(812\) | 1.79424 | + | 13.9145i | 0.0629653 | + | 0.488304i | ||||
\(813\) | 13.2119 | + | 7.35901i | 0.463363 | + | 0.258092i | ||||
\(814\) | 2.83807 | 0.0994743 | ||||||||
\(815\) | 6.61520 | − | 11.4579i | 0.231720 | − | 0.401351i | ||||
\(816\) | −31.2111 | − | 17.3845i | −1.09261 | − | 0.608579i | ||||
\(817\) | −4.06587 | − | 54.2553i | −0.142247 | − | 1.89815i | ||||
\(818\) | 0.873615 | − | 1.09548i | 0.0305452 | − | 0.0383025i | ||||
\(819\) | 5.75344 | − | 19.2970i | 0.201042 | − | 0.674290i | ||||
\(820\) | 10.5041 | + | 13.1718i | 0.366821 | + | 0.459978i | ||||
\(821\) | 10.5080 | − | 9.74999i | 0.366731 | − | 0.340277i | −0.475184 | − | 0.879886i | \(-0.657619\pi\) |
0.841916 | + | 0.539609i | \(0.181428\pi\) | |||||||
\(822\) | −1.48834 | + | 2.25689i | −0.0519117 | + | 0.0787181i | ||||
\(823\) | 40.7989 | − | 27.8162i | 1.42216 | − | 0.969613i | 0.424215 | − | 0.905561i | \(-0.360550\pi\) |
0.997947 | − | 0.0640519i | \(-0.0204023\pi\) | |||||||
\(824\) | 2.65011 | − | 3.32313i | 0.0923209 | − | 0.115767i | ||||
\(825\) | 8.85838 | − | 2.16590i | 0.308409 | − | 0.0754070i | ||||
\(826\) | −0.476034 | + | 2.75729i | −0.0165633 | + | 0.0959385i | ||||
\(827\) | −19.1638 | − | 9.22882i | −0.666392 | − | 0.320917i | 0.0699269 | − | 0.997552i | \(-0.477723\pi\) |
−0.736319 | + | 0.676635i | \(0.763438\pi\) | |||||||
\(828\) | −10.3150 | + | 19.2089i | −0.358471 | + | 0.667556i | ||||
\(829\) | 54.9412 | − | 16.9471i | 1.90819 | − | 0.588598i | 0.937699 | − | 0.347449i | \(-0.112952\pi\) |
0.970488 | − | 0.241148i | \(-0.0775241\pi\) | |||||||
\(830\) | 3.95216 | − | 1.90326i | 0.137181 | − | 0.0660631i | ||||
\(831\) | −4.49279 | − | 8.97323i | −0.155853 | − | 0.311278i | ||||
\(832\) | 9.58176 | + | 16.5961i | 0.332188 | + | 0.575366i | ||||
\(833\) | 37.1030 | + | 1.58603i | 1.28554 | + | 0.0549527i | ||||
\(834\) | 0.928623 | − | 1.03225i | 0.0321556 | − | 0.0357439i | ||||
\(835\) | −17.9119 | + | 45.6389i | −0.619868 | + | 1.57940i | ||||
\(836\) | 31.6118 | + | 21.5525i | 1.09332 | + | 0.745410i | ||||
\(837\) | 10.9250 | + | 55.0826i | 0.377623 | + | 1.90393i | ||||
\(838\) | −0.0299068 | + | 0.399079i | −0.00103311 | + | 0.0137859i | ||||
\(839\) | −10.7750 | + | 7.34628i | −0.371995 | + | 0.253622i | −0.734859 | − | 0.678220i | \(-0.762751\pi\) |
0.362864 | + | 0.931842i | \(0.381799\pi\) | |||||||
\(840\) | 4.66247 | − | 4.27470i | 0.160871 | − | 0.147491i | ||||
\(841\) | −18.0423 | − | 12.3010i | −0.622147 | − | 0.424173i | ||||
\(842\) | −0.656642 | + | 0.823403i | −0.0226294 | + | 0.0283763i | ||||
\(843\) | −39.6818 | + | 16.2835i | −1.36672 | + | 0.560834i | ||||
\(844\) | 1.04304 | + | 1.30793i | 0.0359028 | + | 0.0450207i | ||||
\(845\) | 15.8860 | + | 4.90017i | 0.546494 | + | 0.168571i | ||||
\(846\) | −1.22324 | − | 0.336435i | −0.0420557 | − | 0.0115669i | ||||
\(847\) | −4.38055 | + | 6.13913i | −0.150517 | + | 0.210943i | ||||
\(848\) | −18.4239 | − | 46.9434i | −0.632680 | − | 1.61204i | ||||
\(849\) | −35.2696 | + | 14.4729i | −1.21045 | + | 0.496710i | ||||
\(850\) | 0.981781 | + | 0.302839i | 0.0336748 | + | 0.0103873i | ||||
\(851\) | −10.2175 | + | 17.6972i | −0.350251 | + | 0.606652i | ||||
\(852\) | −22.8051 | + | 25.3500i | −0.781289 | + | 0.868476i | ||||
\(853\) | 25.6695 | + | 7.91799i | 0.878907 | + | 0.271107i | 0.701190 | − | 0.712975i | \(-0.252653\pi\) |
0.177717 | + | 0.984082i | \(0.443129\pi\) | |||||||
\(854\) | 0.0647854 | − | 3.03251i | 0.00221691 | − | 0.103770i | ||||
\(855\) | 15.5271 | + | 36.2393i | 0.531016 | + | 1.23936i | ||||
\(856\) | −0.840391 | − | 0.779769i | −0.0287240 | − | 0.0266520i | ||||
\(857\) | −25.8499 | + | 32.4147i | −0.883014 | + | 1.10726i | 0.110536 | + | 0.993872i | \(0.464743\pi\) |
−0.993550 | + | 0.113393i | \(0.963828\pi\) | |||||||
\(858\) | 0.367696 | + | 2.20821i | 0.0125529 | + | 0.0753872i | ||||
\(859\) | −5.46806 | + | 23.9571i | −0.186568 | + | 0.817407i | 0.791841 | + | 0.610728i | \(0.209123\pi\) |
−0.978409 | + | 0.206680i | \(0.933734\pi\) | |||||||
\(860\) | −50.2786 | + | 15.5089i | −1.71449 | + | 0.528849i | ||||
\(861\) | −11.2158 | − | 10.5318i | −0.382232 | − | 0.358923i | ||||
\(862\) | −1.73142 | − | 0.534071i | −0.0589722 | − | 0.0181905i | ||||
\(863\) | 11.5294 | − | 19.9694i | 0.392464 | − | 0.679768i | −0.600310 | − | 0.799768i | \(-0.704956\pi\) |
0.992774 | + | 0.120000i | \(0.0382894\pi\) | |||||||
\(864\) | 7.69602 | − | 3.43865i | 0.261824 | − | 0.116985i | ||||
\(865\) | 17.1033 | − | 15.8696i | 0.581531 | − | 0.539582i | ||||
\(866\) | 0.156705 | + | 2.09109i | 0.00532506 | + | 0.0710580i | ||||
\(867\) | 3.17091 | + | 19.0431i | 0.107690 | + | 0.646736i | ||||
\(868\) | 56.3886 | + | 5.43911i | 1.91395 | + | 0.184615i | ||||
\(869\) | −0.146448 | + | 0.373142i | −0.00496789 | + | 0.0126580i | ||||
\(870\) | −0.0247494 | − | 1.60706i | −0.000839083 | − | 0.0544843i | ||||
\(871\) | 13.3260 | + | 16.7102i | 0.451533 | + | 0.566204i | ||||
\(872\) | 0.207854 | + | 2.77362i | 0.00703882 | + | 0.0939266i | ||||
\(873\) | 1.99575 | − | 45.3273i | 0.0675460 | − | 1.53410i | ||||
\(874\) | 2.34753 | − | 1.13051i | 0.0794065 | − | 0.0382401i | ||||
\(875\) | −13.9546 | + | 19.5567i | −0.471751 | + | 0.661137i | ||||
\(876\) | 23.2532 | + | 17.9651i | 0.785653 | + | 0.606983i | ||||
\(877\) | 31.4214 | − | 15.1317i | 1.06103 | − | 0.510963i | 0.179821 | − | 0.983699i | \(-0.442448\pi\) |
0.881204 | + | 0.472737i | \(0.156734\pi\) | |||||||
\(878\) | −1.94408 | − | 1.80384i | −0.0656095 | − | 0.0608768i | ||||
\(879\) | 8.66125 | + | 9.05100i | 0.292137 | + | 0.305283i | ||||
\(880\) | 13.3887 | − | 34.1137i | 0.451332 | − | 1.14997i | ||||
\(881\) | 20.6250 | 0.694875 | 0.347438 | − | 0.937703i | \(-0.387052\pi\) | ||||
0.347438 | + | 0.937703i | \(0.387052\pi\) | |||||||
\(882\) | −1.81902 | + | 2.22601i | −0.0612496 | + | 0.0749537i | ||||
\(883\) | 49.6840 | 1.67200 | 0.836000 | − | 0.548730i | \(-0.184888\pi\) | ||||
0.836000 | + | 0.548730i | \(0.184888\pi\) | |||||||
\(884\) | 9.74225 | − | 24.8228i | 0.327667 | − | 0.834883i | ||||
\(885\) | −9.48972 | + | 32.5354i | −0.318993 | + | 1.09367i | ||||
\(886\) | 0.231810 | + | 0.215088i | 0.00778781 | + | 0.00722603i | ||||
\(887\) | 11.9005 | − | 5.73097i | 0.399579 | − | 0.192427i | −0.223292 | − | 0.974752i | \(-0.571680\pi\) |
0.622871 | + | 0.782324i | \(0.285966\pi\) | |||||||
\(888\) | 4.86494 | − | 1.99634i | 0.163257 | − | 0.0669927i | ||||
\(889\) | 0.0527727 | − | 0.305671i | 0.00176994 | − | 0.0102519i | ||||
\(890\) | 3.89578 | − | 1.87611i | 0.130587 | − | 0.0628873i | ||||
\(891\) | −33.4311 | + | 2.06186i | −1.11999 | + | 0.0690750i | ||||
\(892\) | −1.82714 | − | 24.3815i | −0.0611771 | − | 0.816352i | ||||
\(893\) | −9.99417 | − | 12.5323i | −0.334442 | − | 0.419377i | ||||
\(894\) | 2.96393 | − | 1.77264i | 0.0991288 | − | 0.0592858i | ||||
\(895\) | −6.17737 | + | 15.7397i | −0.206487 | + | 0.526119i | ||||
\(896\) | −1.44767 | − | 11.2268i | −0.0483631 | − | 0.375062i | ||||
\(897\) | −15.0934 | − | 5.65709i | −0.503954 | − | 0.188885i | ||||
\(898\) | 0.163356 | + | 2.17983i | 0.00545126 | + | 0.0727420i | ||||
\(899\) | 21.2034 | − | 19.6738i | 0.707172 | − | 0.656159i | ||||
\(900\) | 6.79848 | − | 4.94852i | 0.226616 | − | 0.164951i | ||||
\(901\) | −34.4068 | + | 59.5943i | −1.14626 | + | 1.98537i | ||||
\(902\) | 1.63445 | + | 0.504162i | 0.0544213 | + | 0.0167868i | ||||
\(903\) | 43.4156 | − | 20.5899i | 1.44478 | − | 0.685191i | ||||
\(904\) | 5.22051 | − | 1.61031i | 0.173632 | − | 0.0535583i | ||||
\(905\) | −1.82171 | + | 7.98145i | −0.0605558 | + | 0.265312i | ||||
\(906\) | −3.02369 | − | 1.13329i | −0.100455 | − | 0.0376512i | ||||
\(907\) | −7.93006 | + | 9.94398i | −0.263313 | + | 0.330185i | −0.895859 | − | 0.444339i | \(-0.853439\pi\) |
0.632545 | + | 0.774523i | \(0.282010\pi\) | |||||||
\(908\) | −39.9502 | − | 37.0684i | −1.32579 | − | 1.23016i | ||||
\(909\) | −14.0091 | + | 18.7218i | −0.464654 | + | 0.620962i | ||||
\(910\) | 1.78803 | + | 1.48948i | 0.0592727 | + | 0.0493759i | ||||
\(911\) | 33.6267 | + | 10.3725i | 1.11410 | + | 0.343655i | 0.796542 | − | 0.604583i | \(-0.206660\pi\) |
0.317560 | + | 0.948238i | \(0.397137\pi\) | |||||||
\(912\) | 34.1815 | + | 7.24981i | 1.13186 | + | 0.240065i | ||||
\(913\) | −23.5431 | + | 40.7779i | −0.779164 | + | 1.34955i | ||||
\(914\) | −3.79947 | − | 1.17198i | −0.125675 | − | 0.0387657i | ||||
\(915\) | 4.91560 | − | 36.4087i | 0.162505 | − | 1.20363i | ||||
\(916\) | −1.43597 | − | 3.65879i | −0.0474458 | − | 0.120890i | ||||
\(917\) | 25.6863 | + | 28.8974i | 0.848237 | + | 0.954276i | ||||
\(918\) | −3.35175 | − | 1.73390i | −0.110624 | − | 0.0572272i | ||||
\(919\) | −31.7316 | − | 9.78791i | −1.04673 | − | 0.322873i | −0.276750 | − | 0.960942i | \(-0.589257\pi\) |
−0.769980 | + | 0.638068i | \(0.779734\pi\) | |||||||
\(920\) | −3.15698 | − | 3.95873i | −0.104083 | − | 0.130515i | ||||
\(921\) | −14.3176 | − | 11.0616i | −0.471781 | − | 0.364491i | ||||
\(922\) | −0.763680 | + | 0.957625i | −0.0251505 | + | 0.0315377i | ||||
\(923\) | −20.8280 | − | 14.2003i | −0.685561 | − | 0.467408i | ||||
\(924\) | −7.71516 | + | 32.8971i | −0.253810 | + | 1.08224i | ||||
\(925\) | 6.51163 | − | 4.43955i | 0.214101 | − | 0.145972i | ||||
\(926\) | −0.216978 | + | 2.89537i | −0.00713034 | + | 0.0951477i | ||||
\(927\) | −14.0176 | + | 18.7330i | −0.460398 | + | 0.615274i | ||||
\(928\) | −3.58735 | − | 2.44581i | −0.117760 | − | 0.0802877i | ||||
\(929\) | 19.0341 | − | 48.4981i | 0.624489 | − | 1.59117i | −0.171046 | − | 0.985263i | \(-0.554715\pi\) |
0.795535 | − | 0.605908i | \(-0.207190\pi\) | |||||||
\(930\) | −6.34863 | − | 1.34653i | −0.208180 | − | 0.0441544i | ||||
\(931\) | −35.1336 | + | 9.21395i | −1.15146 | + | 0.301975i | ||||
\(932\) | 2.99552 | + | 5.18840i | 0.0981216 | + | 0.169952i | ||||
\(933\) | 18.7928 | + | 1.11762i | 0.615248 | + | 0.0365891i | ||||
\(934\) | −4.08583 | + | 1.96763i | −0.133693 | + | 0.0643830i | ||||
\(935\) | −47.7851 | + | 14.7398i | −1.56274 | + | 0.482042i | ||||
\(936\) | 2.18358 | + | 3.52662i | 0.0713726 | + | 0.115271i | ||||
\(937\) | 7.32562 | + | 3.52783i | 0.239317 | + | 0.115249i | 0.549699 | − | 0.835363i | \(-0.314742\pi\) |
−0.310381 | + | 0.950612i | \(0.600457\pi\) | |||||||
\(938\) | −0.836897 | − | 2.93426i | −0.0273257 | − | 0.0958069i | ||||
\(939\) | 18.3894 | + | 19.2169i | 0.600115 | + | 0.627119i | ||||
\(940\) | −9.66514 | + | 12.1197i | −0.315242 | + | 0.395301i | ||||
\(941\) | 21.2954 | − | 14.5190i | 0.694211 | − | 0.473305i | −0.164094 | − | 0.986445i | \(-0.552470\pi\) |
0.858305 | + | 0.513140i | \(0.171518\pi\) | |||||||
\(942\) | −1.08580 | − | 2.16862i | −0.0353774 | − | 0.0706575i | ||||
\(943\) | −9.02805 | + | 8.37681i | −0.293994 | + | 0.272786i | ||||
\(944\) | 18.7276 | + | 23.4837i | 0.609533 | + | 0.764330i | ||||
\(945\) | −24.9283 | + | 24.3097i | −0.810917 | + | 0.790795i | ||||
\(946\) | −3.33063 | + | 4.17648i | −0.108288 | + | 0.135789i | ||||
\(947\) | −3.26249 | − | 43.5349i | −0.106017 | − | 1.41470i | −0.755913 | − | 0.654672i | \(-0.772807\pi\) |
0.649896 | − | 0.760023i | \(-0.274812\pi\) | |||||||
\(948\) | 0.00569160 | + | 0.369574i | 0.000184855 | + | 0.0120032i | ||||
\(949\) | −10.8617 | + | 18.8131i | −0.352587 | + | 0.610699i | ||||
\(950\) | −1.00488 | −0.0326025 | ||||||||
\(951\) | 4.05292 | − | 2.42392i | 0.131425 | − | 0.0786010i | ||||
\(952\) | −5.32179 | + | 5.49531i | −0.172480 | + | 0.178104i | ||||
\(953\) | −12.1487 | + | 53.2271i | −0.393536 | + | 1.72420i | 0.258503 | + | 0.966011i | \(0.416771\pi\) |
−0.652039 | + | 0.758185i | \(0.726086\pi\) | |||||||
\(954\) | −2.09785 | − | 4.89626i | −0.0679204 | − | 0.158522i | ||||
\(955\) | −21.5549 | − | 3.24888i | −0.697501 | − | 0.105131i | ||||
\(956\) | −14.9896 | + | 18.7963i | −0.484797 | + | 0.607916i | ||||
\(957\) | 9.93703 | + | 14.1033i | 0.321219 | + | 0.455896i | ||||
\(958\) | 4.40738 | − | 1.35950i | 0.142396 | − | 0.0439233i | ||||
\(959\) | −20.0418 | − | 22.5473i | −0.647185 | − | 0.728090i | ||||
\(960\) | −0.510263 | − | 33.1330i | −0.0164687 | − | 1.06936i | ||||
\(961\) | −42.8973 | − | 74.3003i | −1.38378 | − | 2.39678i | ||||
\(962\) | 0.967324 | + | 1.67545i | 0.0311878 | + | 0.0540188i | ||||
\(963\) | 4.75600 | + | 4.14783i | 0.153260 | + | 0.133662i | ||||
\(964\) | 18.1724 | − | 12.3897i | 0.585292 | − | 0.399045i | ||||
\(965\) | −11.0681 | − | 28.2010i | −0.356294 | − | 0.907822i | ||||
\(966\) | 1.67749 | + | 1.57520i | 0.0539725 | + | 0.0506812i | ||||
\(967\) | −1.57887 | + | 4.02290i | −0.0507731 | + | 0.129368i | −0.954010 | − | 0.299774i | \(-0.903089\pi\) |
0.903237 | + | 0.429142i | \(0.141184\pi\) | |||||||
\(968\) | −0.345693 | − | 1.51458i | −0.0111110 | − | 0.0486804i | ||||
\(969\) | −21.3466 | − | 42.6346i | −0.685753 | − | 1.36962i | ||||
\(970\) | 4.72424 | + | 2.27508i | 0.151686 | + | 0.0730483i | ||||
\(971\) | −11.2936 | − | 28.7757i | −0.362430 | − | 0.923457i | −0.989505 | − | 0.144498i | \(-0.953843\pi\) |
0.627075 | − | 0.778959i | \(-0.284252\pi\) | |||||||
\(972\) | −27.7967 | + | 13.4615i | −0.891581 | + | 0.431778i | ||||
\(973\) | 8.45247 | + | 12.9850i | 0.270974 | + | 0.416279i | ||||
\(974\) | −2.71633 | + | 1.85196i | −0.0870367 | + | 0.0593406i | ||||
\(975\) | 4.29792 | + | 4.49132i | 0.137643 | + | 0.143837i | ||||
\(976\) | −23.8688 | − | 22.1470i | −0.764020 | − | 0.708907i | ||||
\(977\) | 1.78365 | − | 23.8012i | 0.0570641 | − | 0.761468i | −0.893128 | − | 0.449803i | \(-0.851494\pi\) |
0.950192 | − | 0.311665i | \(-0.100887\pi\) | |||||||
\(978\) | −0.554514 | − | 1.10750i | −0.0177314 | − | 0.0354140i | ||||
\(979\) | −23.2073 | + | 40.1962i | −0.741708 | + | 1.28468i | ||||
\(980\) | 16.2478 | + | 31.1423i | 0.519017 | + | 0.994804i | ||||
\(981\) | −1.61376 | − | 15.2252i | −0.0515233 | − | 0.486103i | ||||
\(982\) | 1.04898 | − | 0.158108i | 0.0334742 | − | 0.00504542i | ||||
\(983\) | −0.844224 | + | 0.406557i | −0.0269266 | + | 0.0129672i | −0.447299 | − | 0.894385i | \(-0.647614\pi\) |
0.420372 | + | 0.907352i | \(0.361900\pi\) | |||||||
\(984\) | 3.15637 | − | 0.285476i | 0.100621 | − | 0.00910065i | ||||
\(985\) | −35.8441 | + | 17.2616i | −1.14209 | + | 0.550000i | ||||
\(986\) | 0.145257 | + | 1.93832i | 0.00462592 | + | 0.0617286i | ||||
\(987\) | 7.15125 | − | 12.2175i | 0.227627 | − | 0.388889i | ||||
\(988\) | −1.94903 | + | 26.0079i | −0.0620067 | + | 0.827423i | ||||
\(989\) | −14.0523 | − | 35.8046i | −0.446836 | − | 1.13852i | ||||
\(990\) | 1.30259 | − | 3.64521i | 0.0413989 | − | 0.115852i | ||||
\(991\) | 12.0155 | − | 30.6150i | 0.381686 | − | 0.972519i | −0.602932 | − | 0.797793i | \(-0.706001\pi\) |
0.984617 | − | 0.174726i | \(-0.0559039\pi\) | |||||||
\(992\) | −12.8515 | + | 11.9245i | −0.408037 | + | 0.378603i | ||||
\(993\) | −24.3145 | + | 36.8702i | −0.771599 | + | 1.17004i | ||||
\(994\) | 1.96329 | + | 3.01606i | 0.0622717 | + | 0.0956637i | ||||
\(995\) | 7.40120 | + | 1.11555i | 0.234634 | + | 0.0353654i | ||||
\(996\) | −5.80916 | + | 43.0270i | −0.184070 | + | 1.36336i | ||||
\(997\) | 4.92742 | + | 21.5884i | 0.156053 | + | 0.683712i | 0.991054 | + | 0.133464i | \(0.0426099\pi\) |
−0.835001 | + | 0.550249i | \(0.814533\pi\) | |||||||
\(998\) | 2.15562 | + | 3.73364i | 0.0682349 | + | 0.118186i | ||||
\(999\) | −26.4285 | + | 11.8085i | −0.836160 | + | 0.373604i |
(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.z.a.142.28 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.28 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.28 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.28 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.28 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.28 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.28 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.28 | yes | 648 | 441.382 | even | 21 | inner |