Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [560,2,Mod(221,560)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(560, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("560.221");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 560 = 2^{4} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 560.cp (of order \(12\), degree \(4\), 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: | \(4.47162251319\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 221.13 | ||
Character | \(\chi\) | \(=\) | 560.221 |
Dual form | 560.2.cp.a.261.13 |
$q$-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 \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(351\) | \(421\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13864 | + | 0.838751i | −0.805139 | + | 0.593087i | ||||
\(3\) | −2.01239 | + | 0.539219i | −1.16186 | + | 0.311318i | −0.787707 | − | 0.616050i | \(-0.788732\pi\) |
−0.374149 | + | 0.927369i | \(0.622065\pi\) | |||||||
\(4\) | 0.592992 | − | 1.91007i | 0.296496 | − | 0.955034i | ||||
\(5\) | 0.965926 | + | 0.258819i | 0.431975 | + | 0.115747i | ||||
\(6\) | 1.83912 | − | 2.30187i | 0.750816 | − | 0.939736i | ||||
\(7\) | 0.308773 | − | 2.62767i | 0.116705 | − | 0.993167i | ||||
\(8\) | 0.926869 | + | 2.67225i | 0.327698 | + | 0.944783i | ||||
\(9\) | 1.16089 | − | 0.670242i | 0.386965 | − | 0.223414i | ||||
\(10\) | −1.31692 | + | 0.515471i | −0.416448 | + | 0.163006i | ||||
\(11\) | −0.473055 | − | 1.76546i | −0.142631 | − | 0.532308i | −0.999849 | − | 0.0173540i | \(-0.994476\pi\) |
0.857218 | − | 0.514954i | \(-0.172191\pi\) | |||||||
\(12\) | −0.163388 | + | 4.16356i | −0.0471660 | + | 1.20192i | ||||
\(13\) | 0.888531 | + | 0.888531i | 0.246434 | + | 0.246434i | 0.819505 | − | 0.573071i | \(-0.194248\pi\) |
−0.573071 | + | 0.819505i | \(0.694248\pi\) | |||||||
\(14\) | 1.85238 | + | 3.25095i | 0.495070 | + | 0.868853i | ||||
\(15\) | −2.08338 | −0.537927 | ||||||||
\(16\) | −3.29672 | − | 2.26531i | −0.824180 | − | 0.566328i | ||||
\(17\) | −3.54942 | + | 6.14777i | −0.860860 | + | 1.49105i | 0.0102401 | + | 0.999948i | \(0.496740\pi\) |
−0.871100 | + | 0.491106i | \(0.836593\pi\) | |||||||
\(18\) | −0.759671 | + | 1.73686i | −0.179056 | + | 0.409383i | ||||
\(19\) | 0.611028 | − | 2.28039i | 0.140180 | − | 0.523157i | −0.859743 | − | 0.510727i | \(-0.829376\pi\) |
0.999923 | − | 0.0124306i | \(-0.00395687\pi\) | |||||||
\(20\) | 1.06715 | − | 1.69151i | 0.238622 | − | 0.378232i | ||||
\(21\) | 0.795517 | + | 5.45441i | 0.173596 | + | 1.19025i | ||||
\(22\) | 2.01942 | + | 1.61345i | 0.430543 | + | 0.343989i | ||||
\(23\) | −6.40255 | + | 3.69652i | −1.33502 | + | 0.770777i | −0.986065 | − | 0.166361i | \(-0.946798\pi\) |
−0.348960 | + | 0.937138i | \(0.613465\pi\) | |||||||
\(24\) | −3.30615 | − | 4.87783i | −0.674866 | − | 0.995683i | ||||
\(25\) | 0.866025 | + | 0.500000i | 0.173205 | + | 0.100000i | ||||
\(26\) | −1.75697 | − | 0.266458i | −0.344570 | − | 0.0522568i | ||||
\(27\) | 2.44476 | − | 2.44476i | 0.470493 | − | 0.470493i | ||||
\(28\) | −4.83593 | − | 2.14797i | −0.913905 | − | 0.405928i | ||||
\(29\) | −4.60896 | − | 4.60896i | −0.855863 | − | 0.855863i | 0.134985 | − | 0.990848i | \(-0.456901\pi\) |
−0.990848 | + | 0.134985i | \(0.956901\pi\) | |||||||
\(30\) | 2.37222 | − | 1.74744i | 0.433106 | − | 0.319038i | ||||
\(31\) | 0.980894 | − | 1.69896i | 0.176174 | − | 0.305142i | −0.764393 | − | 0.644751i | \(-0.776961\pi\) |
0.940567 | + | 0.339609i | \(0.110295\pi\) | |||||||
\(32\) | 5.65380 | − | 0.185761i | 0.999461 | − | 0.0328382i | ||||
\(33\) | 1.90394 | + | 3.29773i | 0.331434 | + | 0.574061i | ||||
\(34\) | −1.11495 | − | 9.97716i | −0.191212 | − | 1.71107i | ||||
\(35\) | 0.978344 | − | 2.45822i | 0.165370 | − | 0.415515i | ||||
\(36\) | −0.591808 | − | 2.61483i | −0.0986346 | − | 0.435806i | ||||
\(37\) | −5.76056 | − | 1.54354i | −0.947030 | − | 0.253756i | −0.247928 | − | 0.968778i | \(-0.579750\pi\) |
−0.699101 | + | 0.715022i | \(0.746416\pi\) | |||||||
\(38\) | 1.21694 | + | 3.10904i | 0.197414 | + | 0.504353i | ||||
\(39\) | −2.26719 | − | 1.30896i | −0.363040 | − | 0.209601i | ||||
\(40\) | 0.203658 | + | 2.82109i | 0.0322012 | + | 0.446053i | ||||
\(41\) | 4.87909i | 0.761986i | 0.924578 | + | 0.380993i | \(0.124418\pi\) | ||||
−0.924578 | + | 0.380993i | \(0.875582\pi\) | |||||||
\(42\) | −5.48070 | − | 5.54335i | −0.845690 | − | 0.855358i | ||||
\(43\) | −0.178550 | + | 0.178550i | −0.0272287 | + | 0.0272287i | −0.720590 | − | 0.693361i | \(-0.756129\pi\) |
0.693361 | + | 0.720590i | \(0.256129\pi\) | |||||||
\(44\) | −3.65268 | − | 0.143340i | −0.550662 | − | 0.0216093i | ||||
\(45\) | 1.29481 | − | 0.346943i | 0.193019 | − | 0.0517192i | ||||
\(46\) | 4.18973 | − | 9.57914i | 0.617742 | − | 1.41237i | ||||
\(47\) | −4.96385 | − | 8.59764i | −0.724052 | − | 1.25410i | −0.959363 | − | 0.282175i | \(-0.908944\pi\) |
0.235311 | − | 0.971920i | \(-0.424389\pi\) | |||||||
\(48\) | 7.85580 | + | 2.78104i | 1.13389 | + | 0.401409i | ||||
\(49\) | −6.80932 | − | 1.62271i | −0.972760 | − | 0.231816i | ||||
\(50\) | −1.40546 | + | 0.157061i | −0.198763 | + | 0.0222118i | ||||
\(51\) | 3.82783 | − | 14.2856i | 0.536003 | − | 2.00039i | ||||
\(52\) | 2.22405 | − | 1.17026i | 0.308420 | − | 0.162286i | ||||
\(53\) | −1.30161 | − | 4.85766i | −0.178789 | − | 0.667251i | −0.995875 | − | 0.0907349i | \(-0.971078\pi\) |
0.817086 | − | 0.576516i | \(-0.195588\pi\) | |||||||
\(54\) | −0.733149 | + | 4.83423i | −0.0997689 | + | 0.657856i | ||||
\(55\) | − | 1.82774i | − | 0.246453i | ||||||
\(56\) | 7.30799 | − | 1.61039i | 0.976571 | − | 0.215197i | ||||
\(57\) | 4.91852i | 0.651474i | ||||||||
\(58\) | 9.11371 | + | 1.38216i | 1.19669 | + | 0.181487i | ||||
\(59\) | −2.77409 | − | 10.3530i | −0.361155 | − | 1.34785i | −0.872559 | − | 0.488510i | \(-0.837541\pi\) |
0.511403 | − | 0.859341i | \(-0.329126\pi\) | |||||||
\(60\) | −1.23543 | + | 3.97940i | −0.159493 | + | 0.513739i | ||||
\(61\) | 1.65612 | − | 6.18073i | 0.212045 | − | 0.791362i | −0.775141 | − | 0.631788i | \(-0.782321\pi\) |
0.987186 | − | 0.159574i | \(-0.0510120\pi\) | |||||||
\(62\) | 0.308121 | + | 2.75722i | 0.0391314 | + | 0.350168i | ||||
\(63\) | −1.40272 | − | 3.25740i | −0.176727 | − | 0.410394i | ||||
\(64\) | −6.28183 | + | 4.95365i | −0.785228 | + | 0.619206i | ||||
\(65\) | 0.628286 | + | 1.08822i | 0.0779293 | + | 0.134978i | ||||
\(66\) | −4.93388 | − | 2.15798i | −0.607319 | − | 0.265629i | ||||
\(67\) | −13.1013 | + | 3.51047i | −1.60057 | + | 0.428873i | −0.945216 | − | 0.326445i | \(-0.894149\pi\) |
−0.655359 | + | 0.755318i | \(0.727482\pi\) | |||||||
\(68\) | 9.63788 | + | 10.4252i | 1.16877 | + | 1.26424i | ||||
\(69\) | 10.8912 | − | 10.8912i | 1.31115 | − | 1.31115i | ||||
\(70\) | 0.947856 | + | 3.61961i | 0.113290 | + | 0.432626i | ||||
\(71\) | 15.9428i | 1.89206i | 0.324078 | + | 0.946030i | \(0.394946\pi\) | ||||
−0.324078 | + | 0.946030i | \(0.605054\pi\) | |||||||
\(72\) | 2.86705 | + | 2.48097i | 0.337885 | + | 0.292385i | ||||
\(73\) | 0.795421 | + | 0.459237i | 0.0930970 | + | 0.0537496i | 0.545826 | − | 0.837899i | \(-0.316216\pi\) |
−0.452729 | + | 0.891648i | \(0.649549\pi\) | |||||||
\(74\) | 7.85383 | − | 3.07415i | 0.912989 | − | 0.357362i | ||||
\(75\) | −2.01239 | − | 0.539219i | −0.232371 | − | 0.0622637i | ||||
\(76\) | −3.99336 | − | 2.51936i | −0.458070 | − | 0.288990i | ||||
\(77\) | −4.78513 | + | 0.697904i | −0.545316 | + | 0.0795336i | ||||
\(78\) | 3.67940 | − | 0.411174i | 0.416610 | − | 0.0465563i | ||||
\(79\) | −6.64438 | − | 11.5084i | −0.747551 | − | 1.29480i | −0.948993 | − | 0.315296i | \(-0.897896\pi\) |
0.201442 | − | 0.979500i | \(-0.435437\pi\) | |||||||
\(80\) | −2.59808 | − | 3.04138i | −0.290474 | − | 0.340036i | ||||
\(81\) | −5.61228 | + | 9.72075i | −0.623586 | + | 1.08008i | ||||
\(82\) | −4.09235 | − | 5.55552i | −0.451924 | − | 0.613505i | ||||
\(83\) | 1.11404 | + | 1.11404i | 0.122282 | + | 0.122282i | 0.765600 | − | 0.643317i | \(-0.222442\pi\) |
−0.643317 | + | 0.765600i | \(0.722442\pi\) | |||||||
\(84\) | 10.8900 | + | 1.71493i | 1.18820 | + | 0.187114i | ||||
\(85\) | −5.01963 | + | 5.01963i | −0.544456 | + | 0.544456i | ||||
\(86\) | 0.0535448 | − | 0.353064i | 0.00577389 | − | 0.0380718i | ||||
\(87\) | 11.7603 | + | 6.78980i | 1.26083 | + | 0.727943i | ||||
\(88\) | 4.27930 | − | 2.90048i | 0.456175 | − | 0.309192i | ||||
\(89\) | −0.683828 | + | 0.394808i | −0.0724856 | + | 0.0418496i | −0.535805 | − | 0.844342i | \(-0.679992\pi\) |
0.463319 | + | 0.886191i | \(0.346658\pi\) | |||||||
\(90\) | −1.18332 | + | 1.48106i | −0.124733 | + | 0.156118i | ||||
\(91\) | 2.60912 | − | 2.06041i | 0.273510 | − | 0.215990i | ||||
\(92\) | 3.26393 | + | 14.4213i | 0.340289 | + | 1.50353i | ||||
\(93\) | −1.05783 | + | 3.94789i | −0.109692 | + | 0.409377i | ||||
\(94\) | 12.8633 | + | 5.62616i | 1.32675 | + | 0.580295i | ||||
\(95\) | 1.18042 | − | 2.04454i | 0.121108 | − | 0.209765i | ||||
\(96\) | −11.2775 | + | 3.42246i | −1.15101 | + | 0.349304i | ||||
\(97\) | 5.24994 | 0.533051 | 0.266525 | − | 0.963828i | \(-0.414124\pi\) | ||||
0.266525 | + | 0.963828i | \(0.414124\pi\) | |||||||
\(98\) | 9.11440 | − | 3.86365i | 0.920693 | − | 0.390287i | ||||
\(99\) | −1.73246 | − | 1.73246i | −0.174118 | − | 0.174118i | ||||
\(100\) | 1.46858 | − | 1.35767i | 0.146858 | − | 0.135767i | ||||
\(101\) | 1.93170 | + | 7.20920i | 0.192211 | + | 0.717342i | 0.992971 | + | 0.118357i | \(0.0377626\pi\) |
−0.800760 | + | 0.598985i | \(0.795571\pi\) | |||||||
\(102\) | 7.62360 | + | 19.4768i | 0.754848 | + | 1.92849i | ||||
\(103\) | −7.24187 | + | 4.18110i | −0.713563 | + | 0.411976i | −0.812379 | − | 0.583130i | \(-0.801828\pi\) |
0.0988159 | + | 0.995106i | \(0.468495\pi\) | |||||||
\(104\) | −1.55082 | + | 3.19793i | −0.152071 | + | 0.313583i | ||||
\(105\) | −0.643293 | + | 5.47445i | −0.0627790 | + | 0.534251i | ||||
\(106\) | 5.55643 | + | 4.43939i | 0.539688 | + | 0.431192i | ||||
\(107\) | 4.46795 | + | 1.19718i | 0.431933 | + | 0.115736i | 0.468233 | − | 0.883605i | \(-0.344891\pi\) |
−0.0363004 | + | 0.999341i | \(0.511557\pi\) | |||||||
\(108\) | −3.21993 | − | 6.11937i | −0.309838 | − | 0.588837i | ||||
\(109\) | −7.90544 | + | 2.11826i | −0.757204 | + | 0.202892i | −0.616711 | − | 0.787190i | \(-0.711535\pi\) |
−0.140493 | + | 0.990082i | \(0.544869\pi\) | |||||||
\(110\) | 1.53302 | + | 2.08114i | 0.146168 | + | 0.198429i | ||||
\(111\) | 12.4248 | 1.17931 | ||||||||
\(112\) | −6.97043 | + | 7.96323i | −0.658644 | + | 0.752455i | ||||
\(113\) | 1.07825 | 0.101433 | 0.0507165 | − | 0.998713i | \(-0.483849\pi\) | ||||
0.0507165 | + | 0.998713i | \(0.483849\pi\) | |||||||
\(114\) | −4.12541 | − | 5.60041i | −0.386380 | − | 0.524526i | ||||
\(115\) | −7.14112 | + | 1.91346i | −0.665913 | + | 0.178431i | ||||
\(116\) | −11.5365 | + | 6.07035i | −1.07114 | + | 0.563618i | ||||
\(117\) | 1.62702 | + | 0.435959i | 0.150418 | + | 0.0403044i | ||||
\(118\) | 11.8423 | + | 9.46159i | 1.09017 | + | 0.871010i | ||||
\(119\) | 15.0584 | + | 11.2250i | 1.38040 | + | 1.02899i | ||||
\(120\) | −1.93102 | − | 5.56732i | −0.176278 | − | 0.508224i | ||||
\(121\) | 6.63319 | − | 3.82968i | 0.603018 | − | 0.348152i | ||||
\(122\) | 3.29838 | + | 8.42669i | 0.298621 | + | 0.762917i | ||||
\(123\) | −2.63090 | − | 9.81866i | −0.237220 | − | 0.885318i | ||||
\(124\) | −2.66346 | − | 2.88104i | −0.239186 | − | 0.258725i | ||||
\(125\) | 0.707107 | + | 0.707107i | 0.0632456 | + | 0.0632456i | ||||
\(126\) | 4.32934 | + | 2.53246i | 0.385689 | + | 0.225610i | ||||
\(127\) | −15.4482 | −1.37080 | −0.685401 | − | 0.728166i | \(-0.740373\pi\) | ||||
−0.685401 | + | 0.728166i | \(0.740373\pi\) | |||||||
\(128\) | 2.99784 | − | 10.9093i | 0.264975 | − | 0.964255i | ||||
\(129\) | 0.263036 | − | 0.455591i | 0.0231590 | − | 0.0401126i | ||||
\(130\) | −1.62814 | − | 0.712117i | −0.142797 | − | 0.0624567i | ||||
\(131\) | −3.26376 | + | 12.1805i | −0.285156 | + | 1.06422i | 0.663570 | + | 0.748114i | \(0.269041\pi\) |
−0.948725 | + | 0.316101i | \(0.897626\pi\) | |||||||
\(132\) | 7.42791 | − | 1.68114i | 0.646517 | − | 0.146324i | ||||
\(133\) | −5.80344 | − | 2.30971i | −0.503222 | − | 0.200277i | ||||
\(134\) | 11.9732 | − | 14.9859i | 1.03433 | − | 1.29458i | ||||
\(135\) | 2.99420 | − | 1.72870i | 0.257700 | − | 0.148783i | ||||
\(136\) | −19.7182 | − | 3.78675i | −1.69082 | − | 0.324711i | ||||
\(137\) | −4.40064 | − | 2.54071i | −0.375972 | − | 0.217067i | 0.300092 | − | 0.953910i | \(-0.402982\pi\) |
−0.676064 | + | 0.736843i | \(0.736316\pi\) | |||||||
\(138\) | −3.26613 | + | 21.5362i | −0.278031 | + | 1.83328i | ||||
\(139\) | −10.1284 | + | 10.1284i | −0.859083 | + | 0.859083i | −0.991230 | − | 0.132147i | \(-0.957813\pi\) |
0.132147 | + | 0.991230i | \(0.457813\pi\) | |||||||
\(140\) | −4.11522 | − | 3.32641i | −0.347799 | − | 0.281133i | ||||
\(141\) | 14.6252 | + | 14.6252i | 1.23167 | + | 1.23167i | ||||
\(142\) | −13.3720 | − | 18.1531i | −1.12216 | − | 1.52337i | ||||
\(143\) | 1.14835 | − | 1.98899i | 0.0960295 | − | 0.166328i | ||||
\(144\) | −5.34545 | − | 0.420183i | −0.445454 | − | 0.0350152i | ||||
\(145\) | −3.25903 | − | 5.64480i | −0.270648 | − | 0.468775i | ||||
\(146\) | −1.29088 | + | 0.144257i | −0.106834 | + | 0.0119388i | ||||
\(147\) | 14.5780 | − | 0.406183i | 1.20238 | − | 0.0335014i | ||||
\(148\) | −6.36423 | + | 10.0878i | −0.523136 | + | 0.829208i | ||||
\(149\) | 5.60623 | + | 1.50219i | 0.459281 | + | 0.123064i | 0.481039 | − | 0.876699i | \(-0.340260\pi\) |
−0.0217581 | + | 0.999763i | \(0.506926\pi\) | |||||||
\(150\) | 2.74366 | − | 1.07392i | 0.224019 | − | 0.0876854i | ||||
\(151\) | 2.97678 | + | 1.71865i | 0.242247 | + | 0.139861i | 0.616209 | − | 0.787583i | \(-0.288668\pi\) |
−0.373962 | + | 0.927444i | \(0.622001\pi\) | |||||||
\(152\) | 6.66011 | − | 0.480802i | 0.540206 | − | 0.0389982i | ||||
\(153\) | 9.51587i | 0.769313i | ||||||||
\(154\) | 4.86316 | − | 4.80819i | 0.391885 | − | 0.387455i | ||||
\(155\) | 1.38719 | − | 1.38719i | 0.111422 | − | 0.111422i | ||||
\(156\) | −3.84463 | + | 3.55428i | −0.307817 | + | 0.284570i | ||||
\(157\) | 5.63383 | − | 1.50958i | 0.449629 | − | 0.120478i | −0.0268970 | − | 0.999638i | \(-0.508563\pi\) |
0.476526 | + | 0.879161i | \(0.341896\pi\) | |||||||
\(158\) | 17.2182 | + | 7.53092i | 1.36981 | + | 0.599128i | ||||
\(159\) | 5.23869 | + | 9.07368i | 0.415455 | + | 0.719589i | ||||
\(160\) | 5.50923 | + | 1.28388i | 0.435543 | + | 0.101500i | ||||
\(161\) | 7.73629 | + | 17.9652i | 0.609705 | + | 1.41586i | ||||
\(162\) | −1.76294 | − | 15.7757i | −0.138510 | − | 1.23946i | ||||
\(163\) | 1.87911 | − | 7.01294i | 0.147183 | − | 0.549296i | −0.852465 | − | 0.522784i | \(-0.824893\pi\) |
0.999648 | − | 0.0265119i | \(-0.00844000\pi\) | |||||||
\(164\) | 9.31940 | + | 2.89326i | 0.727723 | + | 0.225926i | ||||
\(165\) | 0.985554 | + | 3.67814i | 0.0767253 | + | 0.286343i | ||||
\(166\) | −2.20290 | − | 0.334086i | −0.170978 | − | 0.0259301i | ||||
\(167\) | − | 10.5546i | − | 0.816738i | −0.912817 | − | 0.408369i | \(-0.866098\pi\) | ||
0.912817 | − | 0.408369i | \(-0.133902\pi\) | |||||||
\(168\) | −13.8382 | + | 7.18134i | −1.06764 | + | 0.554053i | ||||
\(169\) | − | 11.4210i | − | 0.878540i | ||||||
\(170\) | 1.50532 | − | 9.92577i | 0.115453 | − | 0.761272i | ||||
\(171\) | −0.819074 | − | 3.05683i | −0.0626362 | − | 0.233761i | ||||
\(172\) | 0.235164 | + | 0.446922i | 0.0179311 | + | 0.0340775i | ||||
\(173\) | 5.05548 | − | 18.8673i | 0.384361 | − | 1.43446i | −0.454810 | − | 0.890589i | \(-0.650293\pi\) |
0.839171 | − | 0.543867i | \(-0.183041\pi\) | |||||||
\(174\) | −19.0857 | + | 2.13283i | −1.44688 | + | 0.161689i | ||||
\(175\) | 1.58124 | − | 2.12124i | 0.119531 | − | 0.160351i | ||||
\(176\) | −2.43980 | + | 6.89186i | −0.183907 | + | 0.519494i | ||||
\(177\) | 11.1651 | + | 19.3385i | 0.839221 | + | 1.45357i | ||||
\(178\) | 0.447486 | − | 1.02310i | 0.0335405 | − | 0.0766849i | ||||
\(179\) | −24.6708 | + | 6.61052i | −1.84398 | + | 0.494094i | −0.999161 | − | 0.0409544i | \(-0.986960\pi\) |
−0.844822 | + | 0.535048i | \(0.820294\pi\) | |||||||
\(180\) | 0.105127 | − | 2.67891i | 0.00783567 | − | 0.199674i | ||||
\(181\) | 0.409275 | − | 0.409275i | 0.0304212 | − | 0.0304212i | −0.691733 | − | 0.722154i | \(-0.743152\pi\) |
0.722154 | + | 0.691733i | \(0.243152\pi\) | |||||||
\(182\) | −1.24267 | + | 4.53447i | −0.0921129 | + | 0.336117i | ||||
\(183\) | 13.3311i | 0.985462i | ||||||||
\(184\) | −15.8123 | − | 13.6830i | −1.16570 | − | 1.00873i | ||||
\(185\) | −5.16477 | − | 2.98188i | −0.379722 | − | 0.219232i | ||||
\(186\) | −2.10681 | − | 5.38248i | −0.154479 | − | 0.394662i | ||||
\(187\) | 12.5327 | + | 3.35814i | 0.916485 | + | 0.245571i | ||||
\(188\) | −19.3656 | + | 4.38296i | −1.41238 | + | 0.319660i | ||||
\(189\) | −5.66914 | − | 7.17889i | −0.412369 | − | 0.522187i | ||||
\(190\) | 0.370795 | + | 3.31807i | 0.0269003 | + | 0.240718i | ||||
\(191\) | 3.27109 | + | 5.66569i | 0.236688 | + | 0.409955i | 0.959762 | − | 0.280815i | \(-0.0906048\pi\) |
−0.723074 | + | 0.690770i | \(0.757272\pi\) | |||||||
\(192\) | 9.97040 | − | 13.3560i | 0.719552 | − | 0.963884i | ||||
\(193\) | −1.13749 | + | 1.97019i | −0.0818783 | + | 0.141817i | −0.904057 | − | 0.427413i | \(-0.859425\pi\) |
0.822178 | + | 0.569230i | \(0.192759\pi\) | |||||||
\(194\) | −5.97778 | + | 4.40339i | −0.429180 | + | 0.316145i | ||||
\(195\) | −1.85115 | − | 1.85115i | −0.132564 | − | 0.132564i | ||||
\(196\) | −7.13736 | + | 12.0440i | −0.509811 | + | 0.860286i | ||||
\(197\) | 17.0284 | − | 17.0284i | 1.21322 | − | 1.21322i | 0.243263 | − | 0.969960i | \(-0.421782\pi\) |
0.969960 | − | 0.243263i | \(-0.0782177\pi\) | |||||||
\(198\) | 3.42574 | + | 0.519540i | 0.243457 | + | 0.0369221i | ||||
\(199\) | 18.5174 | + | 10.6910i | 1.31266 | + | 0.757865i | 0.982536 | − | 0.186072i | \(-0.0595759\pi\) |
0.330125 | + | 0.943937i | \(0.392909\pi\) | |||||||
\(200\) | −0.533432 | + | 2.77767i | −0.0377193 | + | 0.196411i | ||||
\(201\) | 24.4720 | − | 14.1289i | 1.72612 | − | 0.996576i | ||||
\(202\) | −8.24623 | − | 6.58845i | −0.580203 | − | 0.463562i | ||||
\(203\) | −13.5340 | + | 10.6877i | −0.949898 | + | 0.750130i | ||||
\(204\) | −25.0167 | − | 15.7827i | −1.75152 | − | 1.10501i | ||||
\(205\) | −1.26280 | + | 4.71284i | −0.0881979 | + | 0.329159i | ||||
\(206\) | 4.73897 | − | 10.8349i | 0.330180 | − | 0.754902i | ||||
\(207\) | −4.95512 | + | 8.58252i | −0.344405 | + | 0.596527i | ||||
\(208\) | −0.916440 | − | 4.94204i | −0.0635437 | − | 0.342669i | ||||
\(209\) | −4.31500 | −0.298475 | ||||||||
\(210\) | −3.85922 | − | 6.77297i | −0.266312 | − | 0.467380i | ||||
\(211\) | −7.54620 | − | 7.54620i | −0.519502 | − | 0.519502i | 0.397919 | − | 0.917421i | \(-0.369733\pi\) |
−0.917421 | + | 0.397919i | \(0.869733\pi\) | |||||||
\(212\) | −10.0503 | − | 0.394398i | −0.690258 | − | 0.0270873i | ||||
\(213\) | −8.59666 | − | 32.0832i | −0.589033 | − | 2.19830i | ||||
\(214\) | −6.09152 | + | 2.38434i | −0.416407 | + | 0.162990i | ||||
\(215\) | −0.218679 | + | 0.126254i | −0.0149138 | + | 0.00861046i | ||||
\(216\) | 8.79896 | + | 4.26703i | 0.598694 | + | 0.290334i | ||||
\(217\) | −4.16143 | − | 3.10206i | −0.282496 | − | 0.210582i | ||||
\(218\) | 7.22474 | − | 9.04262i | 0.489321 | − | 0.612444i | ||||
\(219\) | −1.84833 | − | 0.495259i | −0.124899 | − | 0.0334665i | ||||
\(220\) | −3.49111 | − | 1.08384i | −0.235371 | − | 0.0730723i | ||||
\(221\) | −8.61625 | + | 2.30872i | −0.579592 | + | 0.155301i | ||||
\(222\) | −14.1474 | + | 10.4213i | −0.949509 | + | 0.699434i | ||||
\(223\) | 17.0068 | 1.13886 | 0.569431 | − | 0.822039i | \(-0.307164\pi\) | ||||
0.569431 | + | 0.822039i | \(0.307164\pi\) | |||||||
\(224\) | 1.25763 | − | 14.9137i | 0.0840286 | − | 0.996463i | ||||
\(225\) | 1.34048 | 0.0893656 | ||||||||
\(226\) | −1.22773 | + | 0.904382i | −0.0816677 | + | 0.0601586i | ||||
\(227\) | 8.94733 | − | 2.39743i | 0.593855 | − | 0.159123i | 0.0506406 | − | 0.998717i | \(-0.483874\pi\) |
0.543214 | + | 0.839594i | \(0.317207\pi\) | |||||||
\(228\) | 9.39470 | + | 2.91664i | 0.622179 | + | 0.193159i | ||||
\(229\) | 27.2578 | + | 7.30372i | 1.80125 | + | 0.482643i | 0.994172 | − | 0.107803i | \(-0.0343817\pi\) |
0.807077 | + | 0.590447i | \(0.201048\pi\) | |||||||
\(230\) | 6.52623 | − | 8.16836i | 0.430327 | − | 0.538606i | ||||
\(231\) | 9.25324 | − | 3.98469i | 0.608818 | − | 0.262173i | ||||
\(232\) | 8.04439 | − | 16.5882i | 0.528140 | − | 1.08907i | ||||
\(233\) | −10.5007 | + | 6.06260i | −0.687926 | + | 0.397174i | −0.802834 | − | 0.596202i | \(-0.796676\pi\) |
0.114909 | + | 0.993376i | \(0.463342\pi\) | |||||||
\(234\) | −2.21825 | + | 0.868267i | −0.145011 | + | 0.0567604i | ||||
\(235\) | −2.56948 | − | 9.58943i | −0.167614 | − | 0.625545i | ||||
\(236\) | −21.4200 | − | 0.840572i | −1.39432 | − | 0.0547166i | ||||
\(237\) | 19.5767 | + | 19.5767i | 1.27164 | + | 1.27164i | ||||
\(238\) | −26.5610 | − | 0.150957i | −1.72169 | − | 0.00978510i | ||||
\(239\) | 14.1962 | 0.918276 | 0.459138 | − | 0.888365i | \(-0.348158\pi\) | ||||
0.459138 | + | 0.888365i | \(0.348158\pi\) | |||||||
\(240\) | 6.86833 | + | 4.71951i | 0.443349 | + | 0.304643i | ||||
\(241\) | −10.7813 | + | 18.6738i | −0.694484 | + | 1.20288i | 0.275870 | + | 0.961195i | \(0.411034\pi\) |
−0.970354 | + | 0.241687i | \(0.922299\pi\) | |||||||
\(242\) | −4.34066 | + | 9.92422i | −0.279028 | + | 0.637953i | ||||
\(243\) | 3.36797 | − | 12.5694i | 0.216055 | − | 0.806329i | ||||
\(244\) | −10.8236 | − | 6.82843i | −0.692907 | − | 0.437146i | ||||
\(245\) | −6.15731 | − | 3.32980i | −0.393376 | − | 0.212733i | ||||
\(246\) | 11.2311 | + | 8.97322i | 0.716066 | + | 0.572112i | ||||
\(247\) | 2.56911 | − | 1.48328i | 0.163469 | − | 0.0943787i | ||||
\(248\) | 5.44920 | + | 1.04648i | 0.346025 | + | 0.0664516i | ||||
\(249\) | −2.84261 | − | 1.64118i | −0.180143 | − | 0.104005i | ||||
\(250\) | −1.39823 | − | 0.212052i | −0.0884315 | − | 0.0134113i | ||||
\(251\) | 11.1954 | − | 11.1954i | 0.706645 | − | 0.706645i | −0.259183 | − | 0.965828i | \(-0.583453\pi\) |
0.965828 | + | 0.259183i | \(0.0834532\pi\) | |||||||
\(252\) | −7.05366 | + | 0.747685i | −0.444339 | + | 0.0470997i | ||||
\(253\) | 9.55483 | + | 9.55483i | 0.600707 | + | 0.600707i | ||||
\(254\) | 17.5899 | − | 12.9572i | 1.10369 | − | 0.813005i | ||||
\(255\) | 7.39479 | − | 12.8082i | 0.463080 | − | 0.802078i | ||||
\(256\) | 5.73674 | + | 14.9362i | 0.358546 | + | 0.933512i | ||||
\(257\) | −9.14312 | − | 15.8364i | −0.570332 | − | 0.987844i | −0.996532 | − | 0.0832152i | \(-0.973481\pi\) |
0.426199 | − | 0.904629i | \(-0.359852\pi\) | |||||||
\(258\) | 0.0826254 | + | 0.739375i | 0.00514403 | + | 0.0460315i | ||||
\(259\) | −5.83462 | + | 14.6603i | −0.362545 | + | 0.910944i | ||||
\(260\) | 2.45115 | − | 0.554761i | 0.152014 | − | 0.0344048i | ||||
\(261\) | −8.43963 | − | 2.26139i | −0.522400 | − | 0.139977i | ||||
\(262\) | −6.50018 | − | 16.6067i | −0.401582 | − | 1.02596i | ||||
\(263\) | −5.65790 | − | 3.26659i | −0.348881 | − | 0.201426i | 0.315311 | − | 0.948988i | \(-0.397891\pi\) |
−0.664192 | + | 0.747562i | \(0.731224\pi\) | |||||||
\(264\) | −7.04765 | + | 8.14438i | −0.433753 | + | 0.501252i | ||||
\(265\) | − | 5.02902i | − | 0.308930i | ||||||
\(266\) | 8.54529 | − | 2.23773i | 0.523945 | − | 0.137204i | ||||
\(267\) | 1.16324 | − | 1.16324i | 0.0711893 | − | 0.0711893i | ||||
\(268\) | −1.06370 | + | 27.1060i | −0.0649760 | + | 1.65576i | ||||
\(269\) | 15.2787 | − | 4.09392i | 0.931560 | − | 0.249611i | 0.239040 | − | 0.971010i | \(-0.423167\pi\) |
0.692520 | + | 0.721399i | \(0.256500\pi\) | |||||||
\(270\) | −1.95936 | + | 4.47976i | −0.119243 | + | 0.272629i | ||||
\(271\) | 4.78502 | + | 8.28790i | 0.290669 | + | 0.503454i | 0.973968 | − | 0.226685i | \(-0.0727888\pi\) |
−0.683299 | + | 0.730139i | \(0.739455\pi\) | |||||||
\(272\) | 25.6280 | − | 12.2269i | 1.55393 | − | 0.741368i | ||||
\(273\) | −4.13957 | + | 5.55325i | −0.250538 | + | 0.336098i | ||||
\(274\) | 7.14176 | − | 0.798093i | 0.431449 | − | 0.0482146i | ||||
\(275\) | 0.473055 | − | 1.76546i | 0.0285263 | − | 0.106462i | ||||
\(276\) | −14.3446 | − | 27.2614i | −0.863442 | − | 1.64094i | ||||
\(277\) | −0.206809 | − | 0.771823i | −0.0124260 | − | 0.0463743i | 0.959434 | − | 0.281932i | \(-0.0909751\pi\) |
−0.971860 | + | 0.235557i | \(0.924308\pi\) | |||||||
\(278\) | 3.03738 | − | 20.0279i | 0.182170 | − | 1.20119i | ||||
\(279\) | − | 2.62975i | − | 0.157439i | ||||||
\(280\) | 7.47577 | + | 0.335930i | 0.446763 | + | 0.0200756i | ||||
\(281\) | 24.7908i | 1.47890i | 0.673214 | + | 0.739448i | \(0.264913\pi\) | ||||
−0.673214 | + | 0.739448i | \(0.735087\pi\) | |||||||
\(282\) | −28.9198 | − | 4.38591i | −1.72215 | − | 0.261177i | ||||
\(283\) | −4.63365 | − | 17.2930i | −0.275442 | − | 1.02796i | −0.955545 | − | 0.294846i | \(-0.904732\pi\) |
0.680103 | − | 0.733116i | \(-0.261935\pi\) | |||||||
\(284\) | 30.4518 | + | 9.45395i | 1.80698 | + | 0.560988i | ||||
\(285\) | −1.27301 | + | 4.75092i | −0.0754064 | + | 0.281420i | ||||
\(286\) | 0.360721 | + | 3.22792i | 0.0213299 | + | 0.190871i | ||||
\(287\) | 12.8207 | + | 1.50653i | 0.756779 | + | 0.0889279i | ||||
\(288\) | 6.43896 | − | 4.00507i | 0.379419 | − | 0.236001i | ||||
\(289\) | −16.6967 | − | 28.9196i | −0.982160 | − | 1.70115i | ||||
\(290\) | 8.44544 | + | 3.69387i | 0.495933 | + | 0.216912i | ||||
\(291\) | −10.5649 | + | 2.83087i | −0.619328 | + | 0.165948i | ||||
\(292\) | 1.34885 | − | 1.24699i | 0.0789356 | − | 0.0729743i | ||||
\(293\) | 5.82610 | − | 5.82610i | 0.340364 | − | 0.340364i | −0.516140 | − | 0.856504i | \(-0.672632\pi\) |
0.856504 | + | 0.516140i | \(0.172632\pi\) | |||||||
\(294\) | −16.2584 | + | 12.6898i | −0.948209 | + | 0.740086i | ||||
\(295\) | − | 10.7183i | − | 0.624041i | ||||||
\(296\) | −1.21457 | − | 16.8243i | −0.0705954 | − | 0.977893i | ||||
\(297\) | −5.47263 | − | 3.15963i | −0.317554 | − | 0.183340i | ||||
\(298\) | −7.64343 | + | 2.99179i | −0.442772 | + | 0.173310i | ||||
\(299\) | −8.97333 | − | 2.40440i | −0.518941 | − | 0.139050i | ||||
\(300\) | −2.22328 | + | 3.52406i | −0.128361 | + | 0.203461i | ||||
\(301\) | 0.414040 | + | 0.524303i | 0.0238649 | + | 0.0302203i | ||||
\(302\) | −4.83099 | + | 0.539865i | −0.277992 | + | 0.0310657i | ||||
\(303\) | −7.77468 | − | 13.4661i | −0.446643 | − | 0.773609i | ||||
\(304\) | −7.18018 | + | 6.13364i | −0.411812 | + | 0.351788i | ||||
\(305\) | 3.19938 | − | 5.54149i | 0.183196 | − | 0.317305i | ||||
\(306\) | −7.98145 | − | 10.8351i | −0.456269 | − | 0.619403i | ||||
\(307\) | −2.13099 | − | 2.13099i | −0.121622 | − | 0.121622i | 0.643676 | − | 0.765298i | \(-0.277408\pi\) |
−0.765298 | + | 0.643676i | \(0.777408\pi\) | |||||||
\(308\) | −1.50450 | + | 9.55377i | −0.0857268 | + | 0.544377i | ||||
\(309\) | 12.3190 | − | 12.3190i | 0.700802 | − | 0.700802i | ||||
\(310\) | −0.416000 | + | 2.74302i | −0.0236272 | + | 0.155793i | ||||
\(311\) | −21.5134 | − | 12.4208i | −1.21991 | − | 0.704317i | −0.255013 | − | 0.966938i | \(-0.582080\pi\) |
−0.964899 | + | 0.262621i | \(0.915413\pi\) | |||||||
\(312\) | 1.39648 | − | 7.27172i | 0.0790603 | − | 0.411680i | ||||
\(313\) | 1.10867 | − | 0.640091i | 0.0626658 | − | 0.0361801i | −0.468340 | − | 0.883548i | \(-0.655148\pi\) |
0.531006 | + | 0.847368i | \(0.321814\pi\) | |||||||
\(314\) | −5.14873 | + | 6.44425i | −0.290560 | + | 0.363670i | ||||
\(315\) | −0.511850 | − | 3.50946i | −0.0288395 | − | 0.197736i | ||||
\(316\) | −25.9219 | + | 5.86683i | −1.45822 | + | 0.330035i | ||||
\(317\) | −6.21798 | + | 23.2058i | −0.349236 | + | 1.30337i | 0.538348 | + | 0.842723i | \(0.319049\pi\) |
−0.887584 | + | 0.460645i | \(0.847618\pi\) | |||||||
\(318\) | −13.5755 | − | 5.93767i | −0.761278 | − | 0.332968i | ||||
\(319\) | −5.95667 | + | 10.3172i | −0.333509 | + | 0.577655i | ||||
\(320\) | −7.34988 | + | 3.15900i | −0.410871 | + | 0.176594i | ||||
\(321\) | −9.63682 | −0.537875 | ||||||||
\(322\) | −23.8772 | − | 13.9670i | −1.33062 | − | 0.778352i | ||||
\(323\) | 11.8505 | + | 11.8505i | 0.659380 | + | 0.659380i | ||||
\(324\) | 15.2393 | + | 16.4842i | 0.846625 | + | 0.915787i | ||||
\(325\) | 0.325225 | + | 1.21376i | 0.0180402 | + | 0.0673270i | ||||
\(326\) | 3.74249 | + | 9.56131i | 0.207277 | + | 0.529552i | ||||
\(327\) | 14.7666 | − | 8.52553i | 0.816598 | − | 0.471463i | ||||
\(328\) | −13.0382 | + | 4.52228i | −0.719911 | + | 0.249701i | ||||
\(329\) | −24.1245 | + | 10.3887i | −1.33003 | + | 0.572745i | ||||
\(330\) | −4.20723 | − | 3.36143i | −0.231601 | − | 0.185041i | ||||
\(331\) | 6.65109 | + | 1.78216i | 0.365577 | + | 0.0979561i | 0.436931 | − | 0.899495i | \(-0.356065\pi\) |
−0.0713540 | + | 0.997451i | \(0.522732\pi\) | |||||||
\(332\) | 2.78852 | − | 1.46728i | 0.153040 | − | 0.0805274i | ||||
\(333\) | −7.72194 | + | 2.06909i | −0.423160 | + | 0.113385i | ||||
\(334\) | 8.85267 | + | 12.0178i | 0.484396 | + | 0.657587i | ||||
\(335\) | −13.5634 | −0.741049 | ||||||||
\(336\) | 9.73332 | − | 19.7837i | 0.530996 | − | 1.07929i | ||||
\(337\) | −12.4862 | −0.680169 | −0.340084 | − | 0.940395i | \(-0.610456\pi\) | ||||
−0.340084 | + | 0.940395i | \(0.610456\pi\) | |||||||
\(338\) | 9.57940 | + | 13.0044i | 0.521051 | + | 0.707347i | ||||
\(339\) | −2.16986 | + | 0.581412i | −0.117851 | + | 0.0315780i | ||||
\(340\) | 6.61124 | + | 12.5644i | 0.358545 | + | 0.681403i | ||||
\(341\) | −3.46347 | − | 0.928033i | −0.187557 | − | 0.0502558i | ||||
\(342\) | 3.49655 | + | 2.79362i | 0.189072 | + | 0.151062i | ||||
\(343\) | −6.36649 | + | 17.3916i | −0.343758 | + | 0.939058i | ||||
\(344\) | −0.642624 | − | 0.311638i | −0.0346479 | − | 0.0168024i | ||||
\(345\) | 13.3390 | − | 7.70126i | 0.718146 | − | 0.414622i | ||||
\(346\) | 10.0686 | + | 25.7233i | 0.541293 | + | 1.38290i | ||||
\(347\) | 2.85205 | + | 10.6440i | 0.153106 | + | 0.571400i | 0.999260 | + | 0.0384615i | \(0.0122457\pi\) |
−0.846154 | + | 0.532939i | \(0.821088\pi\) | |||||||
\(348\) | 19.9427 | − | 18.4366i | 1.06904 | − | 0.988308i | ||||
\(349\) | 9.38595 | + | 9.38595i | 0.502418 | + | 0.502418i | 0.912189 | − | 0.409770i | \(-0.134391\pi\) |
−0.409770 | + | 0.912189i | \(0.634391\pi\) | |||||||
\(350\) | −0.0212651 | + | 3.74160i | −0.00113667 | + | 0.199997i | ||||
\(351\) | 4.34448 | 0.231891 | ||||||||
\(352\) | −3.00251 | − | 9.89372i | −0.160035 | − | 0.527337i | ||||
\(353\) | −12.4204 | + | 21.5127i | −0.661069 | + | 1.14501i | 0.319266 | + | 0.947665i | \(0.396564\pi\) |
−0.980335 | + | 0.197340i | \(0.936770\pi\) | |||||||
\(354\) | −28.9332 | − | 12.6548i | −1.53778 | − | 0.672597i | ||||
\(355\) | −4.12630 | + | 15.3995i | −0.219001 | + | 0.817323i | ||||
\(356\) | 0.348606 | + | 1.54028i | 0.0184761 | + | 0.0816344i | ||||
\(357\) | −36.3561 | − | 14.4693i | −1.92417 | − | 0.765797i | ||||
\(358\) | 22.5465 | − | 28.2197i | 1.19162 | − | 1.49146i | ||||
\(359\) | 6.04735 | − | 3.49144i | 0.319167 | − | 0.184271i | −0.331854 | − | 0.943331i | \(-0.607674\pi\) |
0.651021 | + | 0.759060i | \(0.274341\pi\) | |||||||
\(360\) | 2.12724 | + | 3.13848i | 0.112115 | + | 0.165412i | ||||
\(361\) | 11.6277 | + | 6.71324i | 0.611982 | + | 0.353328i | ||||
\(362\) | −0.122736 | + | 0.809296i | −0.00645086 | + | 0.0425356i | ||||
\(363\) | −11.2836 | + | 11.2836i | −0.592233 | + | 0.592233i | ||||
\(364\) | −2.38834 | − | 6.20541i | −0.125183 | − | 0.325252i | ||||
\(365\) | 0.649459 | + | 0.649459i | 0.0339942 | + | 0.0339942i | ||||
\(366\) | −11.1815 | − | 15.1793i | −0.584464 | − | 0.793433i | ||||
\(367\) | −10.0511 | + | 17.4091i | −0.524665 | + | 0.908746i | 0.474922 | + | 0.880028i | \(0.342476\pi\) |
−0.999588 | + | 0.0287189i | \(0.990857\pi\) | |||||||
\(368\) | 29.4812 | + | 2.31739i | 1.53681 | + | 0.120802i | ||||
\(369\) | 3.27017 | + | 5.66411i | 0.170238 | + | 0.294862i | ||||
\(370\) | 8.38187 | − | 0.936676i | 0.435753 | − | 0.0486955i | ||||
\(371\) | −13.1662 | + | 1.92028i | −0.683557 | + | 0.0996959i | ||||
\(372\) | 6.91345 | + | 4.36160i | 0.358446 | + | 0.226139i | ||||
\(373\) | −7.69160 | − | 2.06096i | −0.398256 | − | 0.106712i | 0.0541315 | − | 0.998534i | \(-0.482761\pi\) |
−0.452388 | + | 0.891821i | \(0.649428\pi\) | |||||||
\(374\) | −17.0869 | + | 6.68815i | −0.883542 | + | 0.345836i | ||||
\(375\) | −1.80426 | − | 1.04169i | −0.0931717 | − | 0.0537927i | ||||
\(376\) | 18.3742 | − | 21.2335i | 0.947577 | − | 1.09504i | ||||
\(377\) | − | 8.19041i | − | 0.421827i | ||||||
\(378\) | 12.4764 | + | 3.41916i | 0.641717 | + | 0.175862i | ||||
\(379\) | −2.75373 | + | 2.75373i | −0.141450 | + | 0.141450i | −0.774286 | − | 0.632836i | \(-0.781891\pi\) |
0.632836 | + | 0.774286i | \(0.281891\pi\) | |||||||
\(380\) | −3.20523 | − | 3.46707i | −0.164425 | − | 0.177857i | ||||
\(381\) | 31.0878 | − | 8.32994i | 1.59268 | − | 0.426756i | ||||
\(382\) | −8.47669 | − | 3.70754i | −0.433705 | − | 0.189694i | ||||
\(383\) | 12.4790 | + | 21.6142i | 0.637645 | + | 1.10443i | 0.985948 | + | 0.167051i | \(0.0534246\pi\) |
−0.348303 | + | 0.937382i | \(0.613242\pi\) | |||||||
\(384\) | −0.150336 | + | 23.5703i | −0.00767179 | + | 1.20282i | ||||
\(385\) | −4.80271 | − | 0.564359i | −0.244769 | − | 0.0287624i | ||||
\(386\) | −0.357311 | − | 3.19740i | −0.0181866 | − | 0.162743i | ||||
\(387\) | −0.0876060 | + | 0.326950i | −0.00445326 | + | 0.0166198i | ||||
\(388\) | 3.11317 | − | 10.0277i | 0.158047 | − | 0.509082i | ||||
\(389\) | −4.50305 | − | 16.8056i | −0.228314 | − | 0.852079i | −0.981050 | − | 0.193756i | \(-0.937933\pi\) |
0.752736 | − | 0.658323i | \(-0.228734\pi\) | |||||||
\(390\) | 3.66044 | + | 0.555135i | 0.185354 | + | 0.0281103i | ||||
\(391\) | − | 52.4819i | − | 2.65412i | ||||||
\(392\) | −1.97506 | − | 19.7002i | −0.0997557 | − | 0.995012i | ||||
\(393\) | − | 26.2718i | − | 1.32524i | ||||||
\(394\) | −5.10658 | + | 33.6718i | −0.257266 | + | 1.69636i | ||||
\(395\) | −3.43938 | − | 12.8360i | −0.173054 | − | 0.645847i | ||||
\(396\) | −4.33644 | + | 2.28178i | −0.217914 | + | 0.114664i | ||||
\(397\) | 6.92564 | − | 25.8469i | 0.347588 | − | 1.29722i | −0.541971 | − | 0.840397i | \(-0.682322\pi\) |
0.889559 | − | 0.456820i | \(-0.151011\pi\) | |||||||
\(398\) | −30.0517 | + | 3.35828i | −1.50635 | + | 0.168335i | ||||
\(399\) | 12.9243 | + | 1.51871i | 0.647022 | + | 0.0760305i | ||||
\(400\) | −1.72239 | − | 3.61018i | −0.0861194 | − | 0.180509i | ||||
\(401\) | −2.91987 | − | 5.05737i | −0.145812 | − | 0.252553i | 0.783864 | − | 0.620933i | \(-0.213246\pi\) |
−0.929675 | + | 0.368380i | \(0.879913\pi\) | |||||||
\(402\) | −16.0141 | + | 36.6136i | −0.798710 | + | 1.82612i | ||||
\(403\) | 2.38113 | − | 0.638022i | 0.118613 | − | 0.0317821i | ||||
\(404\) | 14.9155 | + | 0.585321i | 0.742076 | + | 0.0291208i | ||||
\(405\) | −7.93696 | + | 7.93696i | −0.394391 | + | 0.394391i | ||||
\(406\) | 6.44595 | − | 23.5211i | 0.319907 | − | 1.16733i | ||||
\(407\) | 10.9002i | 0.540305i | ||||||||
\(408\) | 41.7227 | − | 3.01202i | 2.06558 | − | 0.149117i | ||||
\(409\) | 25.7619 | + | 14.8736i | 1.27384 | + | 0.735453i | 0.975709 | − | 0.219071i | \(-0.0703027\pi\) |
0.298133 | + | 0.954524i | \(0.403636\pi\) | |||||||
\(410\) | −2.51503 | − | 6.42540i | −0.124208 | − | 0.317328i | ||||
\(411\) | 10.2258 | + | 2.74000i | 0.504402 | + | 0.135154i | ||||
\(412\) | 3.69181 | + | 16.3118i | 0.181882 | + | 0.803626i | ||||
\(413\) | −28.0609 | + | 4.09265i | −1.38079 | + | 0.201386i | ||||
\(414\) | −1.55651 | − | 13.9285i | −0.0764985 | − | 0.684548i | ||||
\(415\) | 0.787747 | + | 1.36442i | 0.0386690 | + | 0.0669766i | ||||
\(416\) | 5.18863 | + | 4.85852i | 0.254394 | + | 0.238209i | ||||
\(417\) | 14.9210 | − | 25.8439i | 0.730683 | − | 1.26558i | ||||
\(418\) | 4.91322 | − | 3.61921i | 0.240313 | − | 0.177021i | ||||
\(419\) | 10.0554 | + | 10.0554i | 0.491236 | + | 0.491236i | 0.908696 | − | 0.417459i | \(-0.137079\pi\) |
−0.417459 | + | 0.908696i | \(0.637079\pi\) | |||||||
\(420\) | 10.0751 | + | 4.47504i | 0.491614 | + | 0.218359i | ||||
\(421\) | 7.70302 | − | 7.70302i | 0.375422 | − | 0.375422i | −0.494025 | − | 0.869448i | \(-0.664475\pi\) |
0.869448 | + | 0.494025i | \(0.164475\pi\) | |||||||
\(422\) | 14.9218 | + | 2.26300i | 0.726381 | + | 0.110161i | ||||
\(423\) | −11.5250 | − | 6.65397i | −0.560365 | − | 0.323527i | ||||
\(424\) | 11.7745 | − | 7.98063i | 0.571818 | − | 0.387574i | ||||
\(425\) | −6.14777 | + | 3.54942i | −0.298211 | + | 0.172172i | ||||
\(426\) | 36.6983 | + | 29.3206i | 1.77804 | + | 1.42059i | ||||
\(427\) | −15.7296 | − | 6.26019i | −0.761207 | − | 0.302952i | ||||
\(428\) | 4.93616 | − | 7.82417i | 0.238598 | − | 0.378195i | ||||
\(429\) | −1.23842 | + | 4.62185i | −0.0597915 | + | 0.223145i | ||||
\(430\) | 0.143100 | − | 0.327175i | 0.00690089 | − | 0.0157778i | ||||
\(431\) | 17.0949 | − | 29.6092i | 0.823431 | − | 1.42622i | −0.0796819 | − | 0.996820i | \(-0.525390\pi\) |
0.903113 | − | 0.429404i | \(-0.141276\pi\) | |||||||
\(432\) | −13.5978 | + | 2.52155i | −0.654225 | + | 0.121318i | ||||
\(433\) | −12.4729 | −0.599410 | −0.299705 | − | 0.954032i | \(-0.596888\pi\) | ||||
−0.299705 | + | 0.954032i | \(0.596888\pi\) | |||||||
\(434\) | 7.34022 | + | 0.0417175i | 0.352342 | + | 0.00200251i | ||||
\(435\) | 9.60223 | + | 9.60223i | 0.460392 | + | 0.460392i | ||||
\(436\) | −0.641849 | + | 16.3560i | −0.0307390 | + | 0.783312i | ||||
\(437\) | 4.51735 | + | 16.8590i | 0.216094 | + | 0.806475i | ||||
\(438\) | 2.51998 | − | 0.986369i | 0.120409 | − | 0.0471306i | ||||
\(439\) | 3.75776 | − | 2.16954i | 0.179348 | − | 0.103547i | −0.407638 | − | 0.913143i | \(-0.633648\pi\) |
0.586986 | + | 0.809597i | \(0.300314\pi\) | |||||||
\(440\) | 4.88419 | − | 1.69408i | 0.232844 | − | 0.0807621i | ||||
\(441\) | −8.99250 | + | 2.68010i | −0.428214 | + | 0.127624i | ||||
\(442\) | 7.87435 | − | 9.85568i | 0.374544 | − | 0.468787i | ||||
\(443\) | 19.6159 | + | 5.25607i | 0.931980 | + | 0.249723i | 0.692699 | − | 0.721227i | \(-0.256422\pi\) |
0.239281 | + | 0.970950i | \(0.423088\pi\) | |||||||
\(444\) | 7.36782 | − | 23.7322i | 0.349661 | − | 1.12628i | ||||
\(445\) | −0.762711 | + | 0.204368i | −0.0361559 | + | 0.00968796i | ||||
\(446\) | −19.3646 | + | 14.2645i | −0.916941 | + | 0.675444i | ||||
\(447\) | −12.0920 | −0.571930 | ||||||||
\(448\) | 11.0769 | + | 18.0361i | 0.523335 | + | 0.852127i | ||||
\(449\) | −31.3803 | −1.48093 | −0.740463 | − | 0.672097i | \(-0.765394\pi\) | ||||
−0.740463 | + | 0.672097i | \(0.765394\pi\) | |||||||
\(450\) | −1.52633 | + | 1.12433i | −0.0719517 | + | 0.0530016i | ||||
\(451\) | 8.61387 | − | 2.30808i | 0.405611 | − | 0.108683i | ||||
\(452\) | 0.639393 | − | 2.05953i | 0.0300745 | − | 0.0968720i | ||||
\(453\) | −6.91718 | − | 1.85345i | −0.324997 | − | 0.0870828i | ||||
\(454\) | −8.17692 | + | 10.2344i | −0.383762 | + | 0.480324i | ||||
\(455\) | 3.05349 | − | 1.31492i | 0.143150 | − | 0.0616442i | ||||
\(456\) | −13.1435 | + | 4.55882i | −0.615501 | + | 0.213486i | ||||
\(457\) | 14.9807 | − | 8.64913i | 0.700769 | − | 0.404589i | −0.106864 | − | 0.994274i | \(-0.534081\pi\) |
0.807634 | + | 0.589684i | \(0.200748\pi\) | |||||||
\(458\) | −37.1628 | + | 14.5463i | −1.73650 | + | 0.679702i | ||||
\(459\) | 6.35234 | + | 23.7072i | 0.296502 | + | 1.10656i | ||||
\(460\) | −0.579794 | + | 14.7747i | −0.0270330 | + | 0.688874i | ||||
\(461\) | −27.3524 | − | 27.3524i | −1.27393 | − | 1.27393i | −0.944010 | − | 0.329916i | \(-0.892980\pi\) |
−0.329916 | − | 0.944010i | \(-0.607020\pi\) | |||||||
\(462\) | −7.19392 | + | 12.2983i | −0.334691 | + | 0.572168i | ||||
\(463\) | −3.01282 | −0.140018 | −0.0700088 | − | 0.997546i | \(-0.522303\pi\) | ||||
−0.0700088 | + | 0.997546i | \(0.522303\pi\) | |||||||
\(464\) | 4.75373 | + | 25.6352i | 0.220686 | + | 1.19008i | ||||
\(465\) | −2.04358 | + | 3.53958i | −0.0947687 | + | 0.164144i | ||||
\(466\) | 6.87151 | − | 15.7106i | 0.318317 | − | 0.727780i | ||||
\(467\) | −9.11452 | + | 34.0159i | −0.421770 | + | 1.57407i | 0.349107 | + | 0.937083i | \(0.386485\pi\) |
−0.770877 | + | 0.636984i | \(0.780182\pi\) | |||||||
\(468\) | 1.79752 | − | 2.84920i | 0.0830904 | − | 0.131704i | ||||
\(469\) | 5.17905 | + | 35.5098i | 0.239146 | + | 1.63969i | ||||
\(470\) | 10.9689 | + | 8.76373i | 0.505955 | + | 0.404241i | ||||
\(471\) | −10.5235 | + | 6.07574i | −0.484897 | + | 0.279955i | ||||
\(472\) | 25.0947 | − | 17.0090i | 1.15508 | − | 0.782901i | ||||
\(473\) | 0.399688 | + | 0.230760i | 0.0183777 | + | 0.0106104i | ||||
\(474\) | −38.7107 | − | 5.87077i | −1.77804 | − | 0.269654i | ||||
\(475\) | 1.66936 | − | 1.66936i | 0.0765955 | − | 0.0765955i | ||||
\(476\) | 30.3699 | − | 22.1062i | 1.39200 | − | 1.01323i | ||||
\(477\) | −4.76684 | − | 4.76684i | −0.218258 | − | 0.218258i | ||||
\(478\) | −16.1643 | + | 11.9071i | −0.739339 | + | 0.544617i | ||||
\(479\) | −0.207976 | + | 0.360224i | −0.00950265 | + | 0.0164591i | −0.870738 | − | 0.491748i | \(-0.836358\pi\) |
0.861235 | + | 0.508207i | \(0.169692\pi\) | |||||||
\(480\) | −11.7790 | + | 0.387011i | −0.537637 | + | 0.0176646i | ||||
\(481\) | −3.74695 | − | 6.48991i | −0.170846 | − | 0.295915i | ||||
\(482\) | −3.38665 | − | 30.3055i | −0.154257 | − | 1.38038i | ||||
\(483\) | −25.2556 | − | 31.9815i | −1.14917 | − | 1.45521i | ||||
\(484\) | −3.38151 | − | 14.9408i | −0.153705 | − | 0.679128i | ||||
\(485\) | 5.07105 | + | 1.35878i | 0.230265 | + | 0.0616992i | ||||
\(486\) | 6.70773 | + | 17.1369i | 0.304269 | + | 0.777346i | ||||
\(487\) | −4.28605 | − | 2.47455i | −0.194219 | − | 0.112133i | 0.399737 | − | 0.916630i | \(-0.369101\pi\) |
−0.593956 | + | 0.804497i | \(0.702435\pi\) | |||||||
\(488\) | 18.0515 | − | 1.30316i | 0.817152 | − | 0.0589913i | ||||
\(489\) | 15.1261i | 0.684024i | ||||||||
\(490\) | 9.80382 | − | 1.37302i | 0.442891 | − | 0.0620265i | ||||
\(491\) | −3.76135 | + | 3.76135i | −0.169747 | + | 0.169747i | −0.786868 | − | 0.617121i | \(-0.788299\pi\) |
0.617121 | + | 0.786868i | \(0.288299\pi\) | |||||||
\(492\) | −20.3144 | − | 0.797185i | −0.915844 | − | 0.0359399i | ||||
\(493\) | 44.6940 | − | 11.9757i | 2.01291 | − | 0.539359i | ||||
\(494\) | −1.68119 | + | 3.84376i | −0.0756402 | + | 0.172939i | ||||
\(495\) | −1.22503 | − | 2.12182i | −0.0550610 | − | 0.0953685i | ||||
\(496\) | −7.08240 | + | 3.37896i | −0.318009 | + | 0.151720i | ||||
\(497\) | 41.8924 | + | 4.92271i | 1.87913 | + | 0.220814i | ||||
\(498\) | 4.61324 | − | 0.515531i | 0.206724 | − | 0.0231015i | ||||
\(499\) | 6.88981 | − | 25.7131i | 0.308430 | − | 1.15108i | −0.621522 | − | 0.783397i | \(-0.713485\pi\) |
0.929952 | − | 0.367680i | \(-0.119848\pi\) | |||||||
\(500\) | 1.76993 | − | 0.931313i | 0.0791537 | − | 0.0416496i | ||||
\(501\) | 5.69123 | + | 21.2400i | 0.254265 | + | 0.948931i | ||||
\(502\) | −3.35734 | + | 22.1376i | −0.149845 | + | 0.988049i | ||||
\(503\) | 3.70272i | 0.165096i | 0.996587 | + | 0.0825480i | \(0.0263058\pi\) | ||||
−0.996587 | + | 0.0825480i | \(0.973694\pi\) | |||||||
\(504\) | 7.40444 | − | 6.76761i | 0.329820 | − | 0.301453i | ||||
\(505\) | 7.46351i | 0.332122i | ||||||||
\(506\) | −18.8936 | − | 2.86536i | −0.839923 | − | 0.127381i | ||||
\(507\) | 6.15844 | + | 22.9836i | 0.273506 | + | 1.02074i | ||||
\(508\) | −9.16064 | + | 29.5070i | −0.406438 | + | 1.30916i | ||||
\(509\) | −4.79747 | + | 17.9044i | −0.212644 | + | 0.793598i | 0.774339 | + | 0.632771i | \(0.218083\pi\) |
−0.986983 | + | 0.160827i | \(0.948584\pi\) | |||||||
\(510\) | 2.32287 | + | 20.7862i | 0.102858 | + | 0.920430i | ||||
\(511\) | 1.45233 | − | 1.94831i | 0.0642472 | − | 0.0861880i | ||||
\(512\) | −19.0598 | − | 12.1952i | −0.842333 | − | 0.538958i | ||||
\(513\) | −4.08118 | − | 7.06881i | −0.180188 | − | 0.312096i | ||||
\(514\) | 23.6935 | + | 10.3631i | 1.04507 | + | 0.457095i | ||||
\(515\) | −8.07726 | + | 2.16430i | −0.355927 | + | 0.0953703i | ||||
\(516\) | −0.714232 | − | 0.772578i | −0.0314423 | − | 0.0340109i | ||||
\(517\) | −12.8307 | + | 12.8307i | −0.564292 | + | 0.564292i | ||||
\(518\) | −5.65279 | − | 21.5865i | −0.248370 | − | 0.948457i | ||||
\(519\) | 40.6945i | 1.78629i | ||||||||
\(520\) | −2.32566 | + | 2.68758i | −0.101987 | + | 0.117858i | ||||
\(521\) | 12.0826 | + | 6.97590i | 0.529349 | + | 0.305620i | 0.740751 | − | 0.671780i | \(-0.234470\pi\) |
−0.211403 | + | 0.977399i | \(0.567803\pi\) | |||||||
\(522\) | 11.5064 | − | 4.50385i | 0.503623 | − | 0.197128i | ||||
\(523\) | 33.8059 | + | 9.05826i | 1.47823 | + | 0.396090i | 0.905744 | − | 0.423825i | \(-0.139313\pi\) |
0.572485 | + | 0.819915i | \(0.305980\pi\) | |||||||
\(524\) | 21.3302 | + | 13.4569i | 0.931815 | + | 0.587869i | ||||
\(525\) | −2.03826 | + | 5.12141i | −0.0889572 | + | 0.223517i | ||||
\(526\) | 9.18215 | − | 1.02611i | 0.400361 | − | 0.0447405i | ||||
\(527\) | 6.96320 | + | 12.0606i | 0.303322 | + | 0.525369i | ||||
\(528\) | 1.19361 | − | 15.1847i | 0.0519450 | − | 0.660830i | ||||
\(529\) | 15.8285 | − | 27.4157i | 0.688194 | − | 1.19199i | ||||
\(530\) | 4.21810 | + | 5.72623i | 0.183223 | + | 0.248732i | ||||
\(531\) | −10.1595 | − | 10.1595i | −0.440883 | − | 0.440883i | ||||
\(532\) | −7.85309 | + | 9.71534i | −0.340475 | + | 0.421213i | ||||
\(533\) | −4.33522 | + | 4.33522i | −0.187779 | + | 0.187779i | ||||
\(534\) | −0.348840 | + | 2.30018i | −0.0150958 | + | 0.0995386i | ||||
\(535\) | 4.00585 | + | 2.31278i | 0.173188 | + | 0.0999903i | ||||
\(536\) | −21.5240 | − | 31.7561i | −0.929696 | − | 1.37165i | ||||
\(537\) | 46.0828 | − | 26.6059i | 1.98862 | − | 1.14813i | ||||
\(538\) | −13.9632 | + | 17.4765i | −0.601994 | + | 0.753467i | ||||
\(539\) | 0.356343 | + | 12.7892i | 0.0153488 | + | 0.550872i | ||||
\(540\) | −1.52640 | − | 6.74424i | −0.0656859 | − | 0.290226i | ||||
\(541\) | 1.69136 | − | 6.31224i | 0.0727173 | − | 0.271385i | −0.919989 | − | 0.391945i | \(-0.871802\pi\) |
0.992706 | + | 0.120560i | \(0.0384691\pi\) | |||||||
\(542\) | −12.3999 | − | 5.42347i | −0.532621 | − | 0.232958i | ||||
\(543\) | −0.602933 | + | 1.04431i | −0.0258743 | + | 0.0448157i | ||||
\(544\) | −18.9257 | + | 35.4176i | −0.811432 | + | 1.51852i | ||||
\(545\) | −8.18431 | −0.350577 | ||||||||
\(546\) | 0.0556702 | − | 9.79521i | 0.00238247 | − | 0.419196i | ||||
\(547\) | 21.8304 | + | 21.8304i | 0.933399 | + | 0.933399i | 0.997917 | − | 0.0645172i | \(-0.0205507\pi\) |
−0.0645172 | + | 0.997917i | \(0.520551\pi\) | |||||||
\(548\) | −7.46247 | + | 6.89890i | −0.318781 | + | 0.294706i | ||||
\(549\) | −2.22001 | − | 8.28518i | −0.0947476 | − | 0.353603i | ||||
\(550\) | 0.942148 | + | 2.40700i | 0.0401733 | + | 0.102635i | ||||
\(551\) | −13.3264 | + | 7.69402i | −0.567725 | + | 0.327776i | ||||
\(552\) | 39.1988 | + | 19.0093i | 1.66841 | + | 0.809090i | ||||
\(553\) | −32.2919 | + | 13.9058i | −1.37319 | + | 0.591333i | ||||
\(554\) | 0.882848 | + | 0.705365i | 0.0375086 | + | 0.0299681i | ||||
\(555\) | 12.0014 | + | 3.21578i | 0.509433 | + | 0.136502i | ||||
\(556\) | 13.3399 | + | 25.3521i | 0.565739 | + | 1.07517i | ||||
\(557\) | 12.4576 | − | 3.33800i | 0.527844 | − | 0.141435i | 0.0149517 | − | 0.999888i | \(-0.495241\pi\) |
0.512893 | + | 0.858453i | \(0.328574\pi\) | |||||||
\(558\) | 2.20570 | + | 2.99433i | 0.0933749 | + | 0.126760i | ||||
\(559\) | −0.317295 | −0.0134201 | ||||||||
\(560\) | −8.79396 | + | 5.88781i | −0.371613 | + | 0.248805i | ||||
\(561\) | −27.0316 | −1.14127 | ||||||||
\(562\) | −20.7933 | − | 28.2277i | −0.877113 | − | 1.19072i | ||||
\(563\) | −12.3743 | + | 3.31568i | −0.521514 | + | 0.139739i | −0.509967 | − | 0.860194i | \(-0.670342\pi\) |
−0.0115474 | + | 0.999933i | \(0.503676\pi\) | |||||||
\(564\) | 36.6079 | − | 19.2626i | 1.54147 | − | 0.811100i | ||||
\(565\) | 1.04151 | + | 0.279071i | 0.0438166 | + | 0.0117406i | ||||
\(566\) | 19.7806 | + | 15.8040i | 0.831440 | + | 0.664291i | ||||
\(567\) | 23.8100 | + | 17.7487i | 0.999927 | + | 0.745377i | ||||
\(568\) | −42.6031 | + | 14.7769i | −1.78759 | + | 0.620024i | ||||
\(569\) | −33.2731 | + | 19.2102i | −1.39488 | + | 0.805335i | −0.993851 | − | 0.110729i | \(-0.964681\pi\) |
−0.401031 | + | 0.916064i | \(0.631348\pi\) | |||||||
\(570\) | −2.53535 | − | 6.47732i | −0.106194 | − | 0.271305i | ||||
\(571\) | −11.3030 | − | 42.1835i | −0.473017 | − | 1.76532i | −0.628837 | − | 0.777537i | \(-0.716469\pi\) |
0.155820 | − | 0.987785i | \(-0.450198\pi\) | |||||||
\(572\) | −3.11815 | − | 3.37288i | −0.130377 | − | 0.141027i | ||||
\(573\) | −9.63777 | − | 9.63777i | −0.402624 | − | 0.402624i | ||||
\(574\) | −15.8617 | + | 9.03795i | −0.662054 | + | 0.377237i | ||||
\(575\) | −7.39303 | −0.308311 | ||||||||
\(576\) | −3.97239 | + | 9.96101i | −0.165516 | + | 0.415042i | ||||
\(577\) | −1.85502 | + | 3.21299i | −0.0772255 | + | 0.133758i | −0.902052 | − | 0.431628i | \(-0.857939\pi\) |
0.824826 | + | 0.565386i | \(0.191273\pi\) | |||||||
\(578\) | 43.2678 | + | 18.9245i | 1.79970 | + | 0.787156i | ||||
\(579\) | 1.22671 | − | 4.57815i | 0.0509804 | − | 0.190261i | ||||
\(580\) | −12.7145 | + | 2.87764i | −0.527942 | + | 0.119488i | ||||
\(581\) | 3.27133 | − | 2.58335i | 0.135717 | − | 0.107175i | ||||
\(582\) | 9.65525 | − | 12.0847i | 0.400223 | − | 0.500927i | ||||
\(583\) | −7.96030 | + | 4.59588i | −0.329682 | + | 0.190342i | ||||
\(584\) | −0.489943 | + | 2.55122i | −0.0202740 | + | 0.105570i | ||||
\(585\) | 1.45875 | + | 0.842208i | 0.0603117 | + | 0.0348210i | ||||
\(586\) | −1.74717 | + | 11.5205i | −0.0721748 | + | 0.475906i | ||||
\(587\) | −28.5790 | + | 28.5790i | −1.17958 | + | 1.17958i | −0.199731 | + | 0.979851i | \(0.564007\pi\) |
−0.979851 | + | 0.199731i | \(0.935993\pi\) | |||||||
\(588\) | 7.86881 | − | 28.0859i | 0.324504 | − | 1.15824i | ||||
\(589\) | −3.27493 | − | 3.27493i | −0.134941 | − | 0.134941i | ||||
\(590\) | 8.98995 | + | 12.2042i | 0.370110 | + | 0.502439i | ||||
\(591\) | −25.0858 | + | 43.4499i | −1.03189 | + | 1.78729i | ||||
\(592\) | 15.4944 | + | 18.1381i | 0.636814 | + | 0.745470i | ||||
\(593\) | −20.8577 | − | 36.1266i | −0.856524 | − | 1.48354i | −0.875224 | − | 0.483717i | \(-0.839286\pi\) |
0.0187008 | − | 0.999825i | \(-0.494047\pi\) | |||||||
\(594\) | 8.88149 | − | 0.992509i | 0.364412 | − | 0.0407231i | ||||
\(595\) | 11.6400 | + | 14.7399i | 0.477194 | + | 0.604276i | ||||
\(596\) | 6.19373 | − | 9.81750i | 0.253705 | − | 0.402141i | ||||
\(597\) | −43.0290 | − | 11.5296i | −1.76106 | − | 0.471875i | ||||
\(598\) | 12.2341 | − | 4.78866i | 0.500288 | − | 0.195823i | ||||
\(599\) | 17.8834 | + | 10.3250i | 0.730696 | + | 0.421867i | 0.818677 | − | 0.574255i | \(-0.194708\pi\) |
−0.0879810 | + | 0.996122i | \(0.528041\pi\) | |||||||
\(600\) | −0.424298 | − | 5.87740i | −0.0173219 | − | 0.239944i | ||||
\(601\) | − | 5.00019i | − | 0.203962i | −0.994786 | − | 0.101981i | \(-0.967482\pi\) | ||
0.994786 | − | 0.101981i | \(-0.0325181\pi\) | |||||||
\(602\) | −0.911202 | − | 0.249715i | −0.0371378 | − | 0.0101776i | ||||
\(603\) | −12.8563 | + | 12.8563i | −0.523549 | + | 0.523549i | ||||
\(604\) | 5.04794 | − | 4.66671i | 0.205398 | − | 0.189886i | ||||
\(605\) | 7.39837 | − | 1.98239i | 0.300786 | − | 0.0805955i | ||||
\(606\) | 20.1473 | + | 8.81203i | 0.818427 | + | 0.357964i | ||||
\(607\) | −12.2290 | − | 21.1813i | −0.496362 | − | 0.859724i | 0.503630 | − | 0.863920i | \(-0.331998\pi\) |
−0.999991 | + | 0.00419612i | \(0.998664\pi\) | |||||||
\(608\) | 3.03103 | − | 13.0064i | 0.122924 | − | 0.527478i | ||||
\(609\) | 21.4726 | − | 28.8057i | 0.870115 | − | 1.16726i | ||||
\(610\) | 1.00500 | + | 8.99324i | 0.0406912 | + | 0.364126i | ||||
\(611\) | 3.22874 | − | 12.0498i | 0.130621 | − | 0.487483i | ||||
\(612\) | 18.1760 | + | 5.64284i | 0.734720 | + | 0.228098i | ||||
\(613\) | 6.49887 | + | 24.2541i | 0.262487 | + | 0.979614i | 0.963771 | + | 0.266732i | \(0.0859438\pi\) |
−0.701284 | + | 0.712882i | \(0.747390\pi\) | |||||||
\(614\) | 4.21379 | + | 0.639054i | 0.170055 | + | 0.0257901i | ||||
\(615\) | − | 10.1650i | − | 0.409893i | ||||||
\(616\) | −6.30016 | − | 12.1402i | −0.253841 | − | 0.489142i | ||||
\(617\) | − | 42.7613i | − | 1.72151i | −0.509023 | − | 0.860753i | \(-0.669993\pi\) | ||
0.509023 | − | 0.860753i | \(-0.330007\pi\) | |||||||
\(618\) | −3.69429 | + | 24.3594i | −0.148606 | + | 0.979879i | ||||
\(619\) | −0.951873 | − | 3.55244i | −0.0382590 | − | 0.142785i | 0.944154 | − | 0.329503i | \(-0.106881\pi\) |
−0.982413 | + | 0.186719i | \(0.940215\pi\) | |||||||
\(620\) | −1.82704 | − | 3.47223i | −0.0733757 | − | 0.139448i | ||||
\(621\) | −6.61560 | + | 24.6898i | −0.265475 | + | 0.990766i | ||||
\(622\) | 34.9139 | − | 3.90164i | 1.39992 | − | 0.156441i | ||||
\(623\) | 0.826278 | + | 1.91878i | 0.0331041 | + | 0.0768743i | ||||
\(624\) | 4.50908 | + | 9.45116i | 0.180508 | + | 0.378349i | ||||
\(625\) | 0.500000 | + | 0.866025i | 0.0200000 | + | 0.0346410i | ||||
\(626\) | −0.725497 | + | 1.65873i | −0.0289967 | + | 0.0662962i | ||||
\(627\) | 8.68347 | − | 2.32673i | 0.346784 | − | 0.0929206i | ||||
\(628\) | 0.457415 | − | 11.6562i | 0.0182529 | − | 0.465132i | ||||
\(629\) | 29.9359 | − | 29.9359i | 1.19362 | − | 1.19362i | ||||
\(630\) | 3.52637 | + | 3.56669i | 0.140494 | + | 0.142100i | ||||
\(631\) | 24.2332i | 0.964710i | 0.875976 | + | 0.482355i | \(0.160218\pi\) | ||||
−0.875976 | + | 0.482355i | \(0.839782\pi\) | |||||||
\(632\) | 24.5949 | − | 28.4222i | 0.978331 | − | 1.13058i | ||||
\(633\) | 19.2550 | + | 11.1169i | 0.765317 | + | 0.441856i | ||||
\(634\) | −12.3839 | − | 31.6383i | −0.491827 | − | 1.25652i | ||||
\(635\) | −14.9218 | − | 3.99828i | −0.592153 | − | 0.158667i | ||||
\(636\) | 20.4378 | − | 4.62564i | 0.810413 | − | 0.183418i | ||||
\(637\) | −4.60846 | − | 7.49212i | −0.182594 | − | 0.296848i | ||||
\(638\) | −1.87112 | − | 16.7438i | −0.0740784 | − | 0.662892i | ||||
\(639\) | 10.6855 | + | 18.5079i | 0.422713 | + | 0.732160i | ||||
\(640\) | 5.71923 | − | 9.76168i | 0.226072 | − | 0.385864i | ||||
\(641\) | 23.9235 | − | 41.4367i | 0.944920 | − | 1.63665i | 0.189008 | − | 0.981975i | \(-0.439473\pi\) |
0.755911 | − | 0.654674i | \(-0.227194\pi\) | |||||||
\(642\) | 10.9728 | − | 8.08289i | 0.433064 | − | 0.319006i | ||||
\(643\) | −7.91805 | − | 7.91805i | −0.312257 | − | 0.312257i | 0.533526 | − | 0.845784i | \(-0.320867\pi\) |
−0.845784 | + | 0.533526i | \(0.820867\pi\) | |||||||
\(644\) | 38.9023 | − | 4.12363i | 1.53297 | − | 0.162494i | ||||
\(645\) | 0.371989 | − | 0.371989i | 0.0146470 | − | 0.0146470i | ||||
\(646\) | −23.4331 | − | 3.55381i | −0.921962 | − | 0.139823i | ||||
\(647\) | 24.7252 | + | 14.2751i | 0.972049 | + | 0.561213i | 0.899860 | − | 0.436178i | \(-0.143668\pi\) |
0.0721889 | + | 0.997391i | \(0.477002\pi\) | |||||||
\(648\) | −31.1781 | − | 5.98754i | −1.22479 | − | 0.235213i | ||||
\(649\) | −16.9656 | + | 9.79511i | −0.665959 | + | 0.384492i | ||||
\(650\) | −1.38835 | − | 1.10925i | −0.0544557 | − | 0.0435082i | ||||
\(651\) | 10.0471 | + | 3.99864i | 0.393778 | + | 0.156719i | ||||
\(652\) | −12.2809 | − | 7.74785i | −0.480957 | − | 0.303429i | ||||
\(653\) | 5.86419 | − | 21.8854i | 0.229483 | − | 0.856444i | −0.751075 | − | 0.660217i | \(-0.770464\pi\) |
0.980559 | − | 0.196227i | \(-0.0628689\pi\) | |||||||
\(654\) | −9.66306 | + | 22.0930i | −0.377856 | + | 0.863906i | ||||
\(655\) | −6.30509 | + | 10.9207i | −0.246360 | + | 0.426709i | ||||
\(656\) | 11.0527 | − | 16.0850i | 0.431534 | − | 0.628014i | ||||
\(657\) | 1.23120 | 0.0480337 | ||||||||
\(658\) | 18.7556 | − | 32.0634i | 0.731168 | − | 1.24996i | ||||
\(659\) | −24.2052 | − | 24.2052i | −0.942902 | − | 0.942902i | 0.0555536 | − | 0.998456i | \(-0.482308\pi\) |
−0.998456 | + | 0.0555536i | \(0.982308\pi\) | |||||||
\(660\) | 7.60992 | + | 0.298631i | 0.296216 | + | 0.0116242i | ||||
\(661\) | 9.42711 | + | 35.1825i | 0.366672 | + | 1.36844i | 0.865140 | + | 0.501531i | \(0.167230\pi\) |
−0.498468 | + | 0.866908i | \(0.666104\pi\) | |||||||
\(662\) | −9.06797 | + | 3.54939i | −0.352437 | + | 0.137951i | ||||
\(663\) | 16.0944 | − | 9.29209i | 0.625054 | − | 0.360875i | ||||
\(664\) | −1.94443 | + | 4.00957i | −0.0754584 | + | 0.155602i | ||||
\(665\) | −5.00790 | − | 3.73305i | −0.194198 | − | 0.144761i | ||||
\(666\) | 7.05704 | − | 8.83273i | 0.273455 | − | 0.342261i | ||||
\(667\) | 46.5462 | + | 12.4720i | 1.80228 | + | 0.482919i | ||||
\(668\) | −20.1600 | − | 6.25878i | −0.780012 | − | 0.242159i | ||||
\(669\) | −34.2244 | + | 9.17041i | −1.32319 | + | 0.354548i | ||||
\(670\) | 15.4438 | − | 11.3763i | 0.596647 | − | 0.439507i | ||||
\(671\) | −11.6953 | −0.451492 | ||||||||
\(672\) | 5.51092 | + | 30.6904i | 0.212588 | + | 1.18391i | ||||
\(673\) | 48.2984 | 1.86177 | 0.930883 | − | 0.365318i | \(-0.119040\pi\) | ||||
0.930883 | + | 0.365318i | \(0.119040\pi\) | |||||||
\(674\) | 14.2173 | − | 10.4729i | 0.547630 | − | 0.403399i | ||||
\(675\) | 3.33960 | − | 0.894843i | 0.128541 | − | 0.0344425i | ||||
\(676\) | −21.8149 | − | 6.77258i | −0.839036 | − | 0.260484i | ||||
\(677\) | −26.0519 | − | 6.98059i | −1.00126 | − | 0.268286i | −0.279285 | − | 0.960208i | \(-0.590097\pi\) |
−0.721972 | + | 0.691922i | \(0.756764\pi\) | |||||||
\(678\) | 1.98302 | − | 2.48199i | 0.0761576 | − | 0.0953203i | ||||
\(679\) | 1.62104 | − | 13.7951i | 0.0622099 | − | 0.529408i | ||||
\(680\) | −18.0663 | − | 8.76116i | −0.692809 | − | 0.335975i | ||||
\(681\) | −16.7128 | + | 9.64914i | −0.640436 | + | 0.369756i | ||||
\(682\) | 4.72202 | − | 1.84829i | 0.180816 | − | 0.0707749i | ||||
\(683\) | −2.54681 | − | 9.50481i | −0.0974508 | − | 0.363691i | 0.899929 | − | 0.436037i | \(-0.143618\pi\) |
−0.997380 | + | 0.0723455i | \(0.976952\pi\) | |||||||
\(684\) | −6.32445 | − | 0.248186i | −0.241821 | − | 0.00948964i | ||||
\(685\) | −3.59311 | − | 3.59311i | −0.137286 | − | 0.137286i | ||||
\(686\) | −7.33811 | − | 25.1426i | −0.280170 | − | 0.959950i | ||||
\(687\) | −58.7918 | −2.24305 | ||||||||
\(688\) | 0.993103 | − | 0.184159i | 0.0378617 | − | 0.00702098i | ||||
\(689\) | 3.15966 | − | 5.47270i | 0.120374 | − | 0.208493i | ||||
\(690\) | −8.72881 | + | 19.9570i | −0.332300 | + | 0.759751i | ||||
\(691\) | 2.23901 | − | 8.35608i | 0.0851758 | − | 0.317880i | −0.910172 | − | 0.414231i | \(-0.864050\pi\) |
0.995347 | + | 0.0963510i | \(0.0307171\pi\) | |||||||
\(692\) | −33.0400 | − | 20.8445i | −1.25599 | − | 0.792389i | ||||
\(693\) | −5.08726 | + | 4.01739i | −0.193249 | + | 0.152608i | ||||
\(694\) | −12.1751 | − | 9.72750i | −0.462162 | − | 0.369251i | ||||
\(695\) | −12.4048 | + | 7.16189i | −0.470539 | + | 0.271666i | ||||
\(696\) | −7.24380 | + | 37.7197i | −0.274575 | + | 1.42976i | ||||
\(697\) | −29.9955 | − | 17.3179i | −1.13616 | − | 0.655964i | ||||
\(698\) | −18.5597 | − | 2.81472i | −0.702494 | − | 0.106539i | ||||
\(699\) | 17.8625 | − | 17.8625i | 0.675623 | − | 0.675623i | ||||
\(700\) | −3.11406 | − | 4.27816i | −0.117700 | − | 0.161699i | ||||
\(701\) | −23.7568 | − | 23.7568i | −0.897281 | − | 0.897281i | 0.0979142 | − | 0.995195i | \(-0.468783\pi\) |
−0.995195 | + | 0.0979142i | \(0.968783\pi\) | |||||||
\(702\) | −4.94679 | + | 3.64394i | −0.186705 | + | 0.137532i | ||||
\(703\) | −7.03973 | + | 12.1932i | −0.265508 | + | 0.459874i | ||||
\(704\) | 11.7171 | + | 8.74700i | 0.441606 | + | 0.329665i | ||||
\(705\) | 10.3416 | + | 17.9122i | 0.389487 | + | 0.674612i | ||||
\(706\) | −3.90151 | − | 34.9128i | −0.146835 | − | 1.31396i | ||||
\(707\) | 19.5399 | − | 2.84986i | 0.734872 | − | 0.107180i | ||||
\(708\) | 43.5588 | − | 9.85852i | 1.63704 | − | 0.370506i | ||||
\(709\) | −24.6154 | − | 6.59569i | −0.924452 | − | 0.247706i | −0.234965 | − | 0.972004i | \(-0.575497\pi\) |
−0.689487 | + | 0.724298i | \(0.742164\pi\) | |||||||
\(710\) | −8.21804 | − | 20.9954i | −0.308417 | − | 0.787945i | ||||
\(711\) | −15.4268 | − | 8.90669i | −0.578552 | − | 0.334027i | ||||
\(712\) | −1.68884 | − | 1.46142i | −0.0632921 | − | 0.0547691i | ||||
\(713\) | 14.5036i | 0.543163i | ||||||||
\(714\) | 53.5325 | − | 14.0184i | 2.00340 | − | 0.524625i | ||||
\(715\) | 1.62401 | − | 1.62401i | 0.0607344 | − | 0.0607344i | ||||
\(716\) | −2.00304 | + | 51.0429i | −0.0748573 | + | 1.90756i | ||||
\(717\) | −28.5683 | + | 7.65486i | −1.06690 | + | 0.285876i | ||||
\(718\) | −3.95729 | + | 9.04771i | −0.147685 | + | 0.337658i | ||||
\(719\) | −9.87124 | − | 17.0975i | −0.368135 | − | 0.637629i | 0.621139 | − | 0.783700i | \(-0.286670\pi\) |
−0.989274 | + | 0.146072i | \(0.953337\pi\) | |||||||
\(720\) | −5.05456 | − | 1.78937i | −0.188372 | − | 0.0666859i | ||||
\(721\) | 8.75045 | + | 20.3203i | 0.325884 | + | 0.756767i | ||||
\(722\) | −18.8704 | + | 2.10878i | −0.702285 | + | 0.0784805i | ||||
\(723\) | 11.6270 | − | 43.3924i | 0.432411 | − | 1.61378i | ||||
\(724\) | −0.539046 | − | 1.02444i | −0.0200335 | − | 0.0380730i | ||||
\(725\) | −1.68700 | − | 6.29596i | −0.0626535 | − | 0.233826i | ||||
\(726\) | 3.38379 | − | 22.3120i | 0.125584 | − | 0.828076i | ||||
\(727\) | − | 14.6479i | − | 0.543260i | −0.962402 | − | 0.271630i | \(-0.912437\pi\) | ||
0.962402 | − | 0.271630i | \(-0.0875627\pi\) | |||||||
\(728\) | 7.92425 | + | 5.06249i | 0.293692 | + | 0.187628i | ||||
\(729\) | − | 6.56296i | − | 0.243073i | ||||||
\(730\) | −1.28423 | − | 0.194764i | −0.0475316 | − | 0.00720853i | ||||
\(731\) | −0.463937 | − | 1.73144i | −0.0171593 | − | 0.0640395i | ||||
\(732\) | 25.4633 | + | 7.90522i | 0.941150 | + | 0.292186i | ||||
\(733\) | 3.62145 | − | 13.5154i | 0.133761 | − | 0.499204i | −0.866239 | − | 0.499631i | \(-0.833469\pi\) |
1.00000 | 0.000426439i | \(0.000135740\pi\) | ||||||||
\(734\) | −3.15729 | − | 28.2530i | −0.116538 | − | 1.04284i | ||||
\(735\) | 14.1864 | + | 3.38073i | 0.523274 | + | 0.124700i | ||||
\(736\) | −35.5121 | + | 22.0887i | −1.30899 | + | 0.814201i | ||||
\(737\) | 12.3952 | + | 21.4692i | 0.456584 | + | 0.790827i | ||||
\(738\) | −8.47432 | − | 3.70650i | −0.311944 | − | 0.136438i | ||||
\(739\) | −16.2240 | + | 4.34722i | −0.596811 | + | 0.159915i | −0.544564 | − | 0.838719i | \(-0.683305\pi\) |
−0.0522467 | + | 0.998634i | \(0.516638\pi\) | |||||||
\(740\) | −8.75827 | + | 8.09684i | −0.321960 | + | 0.297646i | ||||
\(741\) | −4.37025 | + | 4.37025i | −0.160545 | + | 0.160545i | ||||
\(742\) | 13.3809 | − | 13.2297i | 0.491230 | − | 0.485678i | ||||
\(743\) | − | 28.6044i | − | 1.04939i | −0.851289 | − | 0.524696i | \(-0.824179\pi\) | ||
0.851289 | − | 0.524696i | \(-0.175821\pi\) | |||||||
\(744\) | −11.5302 | + | 0.832382i | −0.422718 | + | 0.0305166i | ||||
\(745\) | 5.02641 | + | 2.90200i | 0.184153 | + | 0.106321i | ||||
\(746\) | 10.4866 | − | 4.10466i | 0.383941 | − | 0.150282i | ||||
\(747\) | 2.03996 | + | 0.546607i | 0.0746384 | + | 0.0199993i | ||||
\(748\) | 13.8461 | − | 21.9470i | 0.506263 | − | 0.802463i | ||||
\(749\) | 4.52539 | − | 11.3706i | 0.165354 | − | 0.415474i | ||||
\(750\) | 2.92812 | − | 0.327219i | 0.106920 | − | 0.0119483i | ||||
\(751\) | −19.3963 | − | 33.5953i | −0.707780 | − | 1.22591i | −0.965679 | − | 0.259739i | \(-0.916364\pi\) |
0.257899 | − | 0.966172i | \(-0.416970\pi\) | |||||||
\(752\) | −3.11190 | + | 39.5887i | −0.113479 | + | 1.44365i | ||||
\(753\) | −16.4927 | + | 28.5662i | −0.601028 | + | 1.04101i | ||||
\(754\) | 6.86972 | + | 9.32591i | 0.250180 | + | 0.339630i | ||||
\(755\) | 2.43053 | + | 2.43053i | 0.0884561 | + | 0.0884561i | ||||
\(756\) | −17.0739 | + | 6.57142i | −0.620973 | + | 0.239000i | ||||
\(757\) | −9.35382 | + | 9.35382i | −0.339970 | + | 0.339970i | −0.856356 | − | 0.516386i | \(-0.827277\pi\) |
0.516386 | + | 0.856356i | \(0.327277\pi\) | |||||||
\(758\) | 0.825806 | − | 5.44520i | 0.0299946 | − | 0.197778i | ||||
\(759\) | −24.3802 | − | 14.0759i | −0.884946 | − | 0.510924i | ||||
\(760\) | 6.55761 | + | 1.25934i | 0.237870 | + | 0.0456812i | ||||
\(761\) | −33.3855 | + | 19.2751i | −1.21022 | + | 0.698723i | −0.962808 | − | 0.270186i | \(-0.912915\pi\) |
−0.247416 | + | 0.968909i | \(0.579581\pi\) | |||||||
\(762\) | −28.4110 | + | 35.5597i | −1.02922 | + | 1.28819i | ||||
\(763\) | 3.12509 | + | 21.4270i | 0.113136 | + | 0.775708i | ||||
\(764\) | 12.7616 | − | 2.88829i | 0.461698 | − | 0.104495i | ||||
\(765\) | −2.46289 | + | 9.19163i | −0.0890460 | + | 0.332324i | ||||
\(766\) | −32.3379 | − | 14.1440i | −1.16842 | − | 0.511043i | ||||
\(767\) | 6.73413 | − | 11.6639i | 0.243155 | − | 0.421157i | ||||
\(768\) | −19.5985 | − | 26.9641i | −0.707198 | − | 0.972984i | ||||
\(769\) | 19.1911 | 0.692047 | 0.346024 | − | 0.938226i | \(-0.387532\pi\) | ||||
0.346024 | + | 0.938226i | \(0.387532\pi\) | |||||||
\(770\) | 5.94190 | − | 3.38568i | 0.214131 | − | 0.122011i | ||||
\(771\) | 26.9388 | + | 26.9388i | 0.970178 | + | 0.970178i | ||||
\(772\) | 3.08867 | + | 3.34099i | 0.111164 | + | 0.120245i | ||||
\(773\) | −13.1799 | − | 49.1880i | −0.474048 | − | 1.76917i | −0.624995 | − | 0.780629i | \(-0.714899\pi\) |
0.150948 | − | 0.988542i | \(-0.451768\pi\) | |||||||
\(774\) | −0.174478 | − | 0.445757i | −0.00627149 | − | 0.0160224i | ||||
\(775\) | 1.69896 | − | 0.980894i | 0.0610284 | − | 0.0352348i | ||||
\(776\) | 4.86601 | + | 14.0291i | 0.174680 | + | 0.503617i | ||||
\(777\) | 3.83645 | − | 32.6483i | 0.137632 | − | 1.17125i | ||||
\(778\) | 19.2231 | + | 15.3586i | 0.689181 | + | 0.550632i | ||||
\(779\) | 11.1262 | + | 2.98126i | 0.398639 | + | 0.106815i | ||||
\(780\) | −4.63354 | + | 2.43811i | −0.165907 | + | 0.0872982i | ||||
\(781\) | 28.1464 | − | 7.54181i | 1.00716 | − | 0.269867i | ||||
\(782\) | 44.0193 | + | 59.7579i | 1.57413 | + | 2.13694i | ||||
\(783\) | −22.5356 | −0.805355 | ||||||||
\(784\) | 18.7725 | + | 20.7748i | 0.670446 | + | 0.741959i | ||||
\(785\) | 5.83257 | 0.208173 | ||||||||
\(786\) | 22.0355 | + | 29.9141i | 0.785982 | + | 1.06700i | ||||
\(787\) | −33.5978 | + | 9.00249i | −1.19763 | + | 0.320904i | −0.801898 | − | 0.597461i | \(-0.796176\pi\) |
−0.395733 | + | 0.918366i | \(0.629509\pi\) | |||||||
\(788\) | −22.4277 | − | 42.6231i | −0.798954 | − | 1.51839i | ||||
\(789\) | 13.1473 | + | 3.52281i | 0.468057 | + | 0.125416i | ||||
\(790\) | 14.6824 | + | 11.7307i | 0.522376 | + | 0.417360i | ||||
\(791\) | 0.332934 | − | 2.83328i | 0.0118378 | − | 0.100740i | ||||
\(792\) | 3.02379 | − | 6.23531i | 0.107446 | − | 0.221562i | ||||
\(793\) | 6.96329 | − | 4.02026i | 0.247274 | − | 0.142763i | ||||
\(794\) | 13.7933 | + | 35.2391i | 0.489505 | + | 1.25059i | ||||
\(795\) | 2.71175 | + | 10.1204i | 0.0961757 | + | 0.358933i | ||||
\(796\) | 31.4012 | − | 29.0297i | 1.11299 | − | 1.02893i | ||||
\(797\) | −34.9832 | − | 34.9832i | −1.23917 | − | 1.23917i | −0.960341 | − | 0.278828i | \(-0.910054\pi\) |
−0.278828 | − | 0.960341i | \(-0.589946\pi\) | |||||||
\(798\) | −15.9899 | + | 9.11098i | −0.566035 | + | 0.322525i | ||||
\(799\) | 70.4751 | 2.49323 | ||||||||
\(800\) | 4.98922 | + | 2.66603i | 0.176395 | + | 0.0942583i | ||||
\(801\) | −0.529234 | + | 0.916660i | −0.0186996 | + | 0.0323886i | ||||
\(802\) | 7.56656 | + | 3.30946i | 0.267184 | + | 0.116861i | ||||
\(803\) | 0.434488 | − | 1.62153i | 0.0153328 | − | 0.0572226i | ||||
\(804\) | −12.4755 | − | 55.1215i | −0.439976 | − | 1.94399i | ||||
\(805\) | 2.82295 | + | 19.3553i | 0.0994959 | + | 0.682186i | ||||
\(806\) | −2.17610 | + | 2.72365i | −0.0766500 | + | 0.0959366i | ||||
\(807\) | −28.5393 | + | 16.4772i | −1.00463 | + | 0.580024i | ||||
\(808\) | −17.4743 | + | 11.8440i | −0.614745 | + | 0.416669i | ||||
\(809\) | −10.6364 | − | 6.14093i | −0.373956 | − | 0.215904i | 0.301229 | − | 0.953552i | \(-0.402603\pi\) |
−0.675185 | + | 0.737648i | \(0.735936\pi\) | |||||||
\(810\) | 2.38019 | − | 15.6945i | 0.0836312 | − | 0.551447i | ||||
\(811\) | −7.63883 | + | 7.63883i | −0.268236 | + | 0.268236i | −0.828389 | − | 0.560153i | \(-0.810742\pi\) |
0.560153 | + | 0.828389i | \(0.310742\pi\) | |||||||
\(812\) | 12.3887 | + | 32.1885i | 0.434759 | + | 1.12960i | ||||
\(813\) | −14.0983 | − | 14.0983i | −0.494450 | − | 0.494450i | ||||
\(814\) | −9.14259 | − | 12.4114i | −0.320448 | − | 0.435020i | ||||
\(815\) | 3.63017 | − | 6.28763i | 0.127159 | − | 0.220246i | ||||
\(816\) | −44.9807 | + | 38.4246i | −1.57464 | + | 1.34513i | ||||
\(817\) | 0.298065 | + | 0.516264i | 0.0104280 | + | 0.0180618i | ||||
\(818\) | −41.8087 | + | 4.67213i | −1.46181 | + | 0.163357i | ||||
\(819\) | 1.64794 | − | 4.14066i | 0.0575836 | − | 0.144686i | ||||
\(820\) | 8.25302 | + | 5.20672i | 0.288208 | + | 0.181826i | ||||
\(821\) | −19.4239 | − | 5.20463i | −0.677900 | − | 0.181643i | −0.0965891 | − | 0.995324i | \(-0.530793\pi\) |
−0.581311 | + | 0.813682i | \(0.697460\pi\) | |||||||
\(822\) | −13.9417 | + | 5.45705i | −0.486272 | + | 0.190336i | ||||
\(823\) | −0.231574 | − | 0.133699i | −0.00807216 | − | 0.00466046i | 0.495958 | − | 0.868346i | \(-0.334817\pi\) |
−0.504031 | + | 0.863686i | \(0.668150\pi\) | |||||||
\(824\) | −17.8852 | − | 15.4768i | −0.623061 | − | 0.539158i | ||||
\(825\) | 3.80789i | 0.132574i | ||||||||
\(826\) | 28.5185 | − | 28.1962i | 0.992287 | − | 0.981071i | ||||
\(827\) | −26.7226 | + | 26.7226i | −0.929236 | + | 0.929236i | −0.997657 | − | 0.0684210i | \(-0.978204\pi\) |
0.0684210 | + | 0.997657i | \(0.478204\pi\) | |||||||
\(828\) | 13.4549 | + | 14.5540i | 0.467589 | + | 0.505786i | ||||
\(829\) | 21.7176 | − | 5.81921i | 0.754283 | − | 0.202109i | 0.138866 | − | 0.990311i | \(-0.455654\pi\) |
0.615417 | + | 0.788202i | \(0.288988\pi\) | |||||||
\(830\) | −2.04137 | − | 0.892854i | −0.0708569 | − | 0.0309914i | ||||
\(831\) | 0.832363 | + | 1.44170i | 0.0288744 | + | 0.0500119i | ||||
\(832\) | −9.98307 | − | 1.18013i | −0.346101 | − | 0.0409135i | ||||
\(833\) | 34.1452 | − | 36.1024i | 1.18306 | − | 1.25088i | ||||
\(834\) | 4.68701 | + | 41.9418i | 0.162298 | + | 1.45232i | ||||
\(835\) | 2.73173 | − | 10.1949i | 0.0945353 | − | 0.352810i | ||||
\(836\) | −2.55876 | + | 8.24194i | −0.0884965 | + | 0.285053i | ||||
\(837\) | −1.75549 | − | 6.55158i | −0.0606787 | − | 0.226456i | ||||
\(838\) | −19.8833 | − | 3.01546i | −0.686859 | − | 0.104167i | ||||
\(839\) | − | 25.9224i | − | 0.894939i | −0.894299 | − | 0.447470i | \(-0.852325\pi\) | ||
0.894299 | − | 0.447470i | \(-0.147675\pi\) | |||||||
\(840\) | −15.2253 | + | 3.35506i | −0.525324 | + | 0.115760i | ||||
\(841\) | 13.4850i | 0.465001i | ||||||||
\(842\) | −2.31003 | + | 15.2319i | −0.0796089 | + | 0.524925i | ||||
\(843\) | −13.3677 | − | 49.8889i | −0.460407 | − | 1.71826i | ||||
\(844\) | −18.8886 | + | 9.93892i | −0.650172 | + | 0.342112i | ||||
\(845\) | 2.95598 | − | 11.0319i | 0.101689 | − | 0.379508i | ||||
\(846\) | 18.7038 | − | 2.09016i | 0.643051 | − | 0.0718612i | ||||
\(847\) | −8.01498 | − | 18.6124i | −0.275398 | − | 0.639528i | ||||
\(848\) | −6.71308 | + | 18.9629i | −0.230528 | + | 0.651189i | ||||
\(849\) | 18.6494 | + | 32.3018i | 0.640047 | + | 1.10859i | ||||
\(850\) | 4.02300 | − | 9.19795i | 0.137988 | − | 0.315487i | ||||
\(851\) | 42.5880 | − | 11.4114i | 1.45990 | − | 0.391178i | ||||
\(852\) | −66.3788 | − | 2.60486i | −2.27410 | − | 0.0892410i | ||||
\(853\) | 0.651583 | − | 0.651583i | 0.0223098 | − | 0.0223098i | −0.695864 | − | 0.718174i | \(-0.744978\pi\) |
0.718174 | + | 0.695864i | \(0.244978\pi\) | |||||||
\(854\) | 23.1610 | − | 6.06511i | 0.792554 | − | 0.207544i | ||||
\(855\) | − | 3.16466i | − | 0.108229i | ||||||
\(856\) | 0.942033 | + | 13.0491i | 0.0321980 | + | 0.446009i | ||||
\(857\) | −18.8436 | − | 10.8794i | −0.643685 | − | 0.371632i | 0.142347 | − | 0.989817i | \(-0.454535\pi\) |
−0.786033 | + | 0.618185i | \(0.787868\pi\) | |||||||
\(858\) | −2.46647 | − | 6.30134i | −0.0842039 | − | 0.215124i | ||||
\(859\) | −38.8520 | − | 10.4104i | −1.32561 | − | 0.355197i | −0.474535 | − | 0.880236i | \(-0.657384\pi\) |
−0.851078 | + | 0.525039i | \(0.824051\pi\) | |||||||
\(860\) | 0.111479 | + | 0.492559i | 0.00380141 | + | 0.0167961i | ||||
\(861\) | −26.6126 | + | 3.88140i | −0.906953 | + | 0.132278i | ||||
\(862\) | 5.36988 | + | 48.0525i | 0.182899 | + | 1.63667i | ||||
\(863\) | 25.6783 | + | 44.4761i | 0.874100 | + | 1.51399i | 0.857719 | + | 0.514119i | \(0.171881\pi\) |
0.0163809 | + | 0.999866i | \(0.494786\pi\) | |||||||
\(864\) | 13.3680 | − | 14.2763i | 0.454790 | − | 0.485690i | ||||
\(865\) | 9.76645 | − | 16.9160i | 0.332069 | − | 0.575161i | ||||
\(866\) | 14.2021 | − | 10.4617i | 0.482608 | − | 0.355502i | ||||
\(867\) | 49.1943 | + | 49.1943i | 1.67073 | + | 1.67073i | ||||
\(868\) | −8.39284 | + | 6.10912i | −0.284872 | + | 0.207357i | ||||
\(869\) | −17.1745 | + | 17.1745i | −0.582606 | + | 0.582606i | ||||
\(870\) | −18.9873 | − | 2.87958i | −0.643731 | − | 0.0976268i | ||||
\(871\) | −14.7600 | − | 8.52172i | −0.500125 | − | 0.288747i | ||||
\(872\) | −12.9878 | − | 19.1620i | −0.439823 | − | 0.648906i | ||||
\(873\) | 6.09462 | − | 3.51873i | 0.206272 | − | 0.119091i | ||||
\(874\) | −19.2841 | − | 15.4073i | −0.652295 | − | 0.521161i | ||||
\(875\) | 2.07638 | − | 1.63971i | 0.0701945 | − | 0.0554323i | ||||
\(876\) | −2.04202 | + | 3.23675i | −0.0689935 | + | 0.109360i | ||||
\(877\) | −5.78709 | + | 21.5977i | −0.195416 | + | 0.729304i | 0.796742 | + | 0.604319i | \(0.206555\pi\) |
−0.992159 | + | 0.124984i | \(0.960112\pi\) | |||||||
\(878\) | −2.45902 | + | 5.62215i | −0.0829879 | + | 0.189738i | ||||
\(879\) | −8.58285 | + | 14.8659i | −0.289492 | + | 0.501416i | ||||
\(880\) | −4.14041 | + | 6.02556i | −0.139573 | + | 0.203122i | ||||
\(881\) | −12.9271 | −0.435525 | −0.217762 | − | 0.976002i | \(-0.569876\pi\) | ||||
−0.217762 | + | 0.976002i | \(0.569876\pi\) | |||||||
\(882\) | 7.99127 | − | 10.5941i | 0.269080 | − | 0.356723i | ||||
\(883\) | 18.8180 | + | 18.8180i | 0.633275 | + | 0.633275i | 0.948888 | − | 0.315613i | \(-0.102210\pi\) |
−0.315613 | + | 0.948888i | \(0.602210\pi\) | |||||||
\(884\) | −0.699561 | + | 17.8267i | −0.0235288 | + | 0.599576i | ||||
\(885\) | 5.77949 | + | 21.5693i | 0.194275 | + | 0.725045i | ||||
\(886\) | −26.7439 | + | 10.4681i | −0.898480 | + | 0.351683i | ||||
\(887\) | −40.2590 | + | 23.2435i | −1.35176 | + | 0.780442i | −0.988497 | − | 0.151243i | \(-0.951672\pi\) |
−0.363268 | + | 0.931685i | \(0.618339\pi\) | |||||||
\(888\) | 11.5162 | + | 33.2022i | 0.386458 | + | 1.11419i | ||||
\(889\) | −4.76998 | + | 40.5927i | −0.159980 | + | 1.36144i | ||||
\(890\) | 0.697037 | − | 0.872425i | 0.0233647 | − | 0.0292438i | ||||
\(891\) | 19.8166 | + | 5.30983i | 0.663880 | + | 0.177886i | ||||
\(892\) | 10.0849 | − | 32.4842i | 0.337668 | − | 1.08765i | ||||
\(893\) | −22.6390 | + | 6.06611i | −0.757586 | + | 0.202995i | ||||
\(894\) | 13.7684 | − | 10.1421i | 0.460483 | − | 0.339204i | ||||
\(895\) | −25.5411 | −0.853745 | ||||||||
\(896\) | −27.7404 | − | 11.2459i | −0.926742 | − | 0.375698i | ||||
\(897\) | 19.3544 | 0.646224 | ||||||||
\(898\) | 35.7308 | − | 26.3203i | 1.19235 | − | 0.878318i | ||||
\(899\) | −12.3513 | + | 3.30953i | −0.411940 | + | 0.110379i | ||||
\(900\) | 0.794897 | − | 2.56042i | 0.0264966 | − | 0.0853472i | ||||
\(901\) | 34.4837 | + | 9.23989i | 1.14882 | + | 0.307825i | ||||
\(902\) | −7.87217 | + | 9.85296i | −0.262115 | + | 0.328068i | ||||
\(903\) | −1.11593 | − | 0.831846i | −0.0371357 | − | 0.0276821i | ||||
\(904\) | 0.999395 | + | 2.88135i | 0.0332394 | + | 0.0958322i | ||||
\(905\) | 0.501257 | − | 0.289401i | 0.0166624 | − | 0.00962002i | ||||
\(906\) | 9.43075 | − | 3.69138i | 0.313316 | − | 0.122638i | ||||
\(907\) | −7.06821 | − | 26.3789i | −0.234696 | − | 0.875897i | −0.978286 | − | 0.207261i | \(-0.933545\pi\) |
0.743590 | − | 0.668636i | \(-0.233122\pi\) | |||||||
\(908\) | 0.726441 | − | 18.5117i | 0.0241078 | − | 0.614331i | ||||
\(909\) | 7.07440 | + | 7.07440i | 0.234643 | + | 0.234643i | ||||
\(910\) | −2.37393 | + | 4.05833i | −0.0786952 | + | 0.134532i | ||||
\(911\) | 22.5295 | 0.746434 | 0.373217 | − | 0.927744i | \(-0.378255\pi\) | ||||
0.373217 | + | 0.927744i | \(0.378255\pi\) | |||||||
\(912\) | 11.1420 | − | 16.2150i | 0.368948 | − | 0.536932i | ||||
\(913\) | 1.43980 | − | 2.49381i | 0.0476504 | − | 0.0825329i | ||||
\(914\) | −9.80316 | + | 22.4133i | −0.324260 | + | 0.741368i | ||||
\(915\) | −3.45034 | + | 12.8768i | −0.114065 | + | 0.425695i | ||||
\(916\) | 30.1143 | − | 47.7333i | 0.995004 | − | 1.57715i | ||||
\(917\) | 30.9986 | + | 12.3371i | 1.02366 | + | 0.407407i | ||||
\(918\) | −27.1175 | − | 21.6659i | −0.895011 | − | 0.715082i | ||||
\(919\) | −29.0880 | + | 16.7940i | −0.959526 | + | 0.553983i | −0.896027 | − | 0.443999i | \(-0.853559\pi\) |
−0.0634989 | + | 0.997982i | \(0.520226\pi\) | |||||||
\(920\) | −11.7321 | − | 17.3093i | −0.386796 | − | 0.570672i | ||||
\(921\) | 5.43745 | + | 3.13931i | 0.179170 | + | 0.103444i | ||||
\(922\) | 54.0863 | + | 8.20260i | 1.78124 | + | 0.270138i | ||||
\(923\) | −14.1657 | + | 14.1657i | −0.466268 | + | 0.466268i | ||||
\(924\) | −2.12394 | − | 20.0372i | −0.0698723 | − | 0.659176i | ||||
\(925\) | −4.21702 | − | 4.21702i | −0.138655 | − | 0.138655i | ||||
\(926\) | 3.43051 | − | 2.52701i | 0.112734 | − | 0.0830426i | ||||
\(927\) | −5.60470 | + | 9.70762i | −0.184082 | + | 0.318840i | ||||
\(928\) | −26.9143 | − | 25.2020i | −0.883506 | − | 0.827296i | ||||
\(929\) | 22.3062 | + | 38.6355i | 0.731842 | + | 1.26759i | 0.956095 | + | 0.293057i | \(0.0946726\pi\) |
−0.224253 | + | 0.974531i | \(0.571994\pi\) | |||||||
\(930\) | −0.641933 | − | 5.74435i | −0.0210498 | − | 0.188365i | ||||
\(931\) | −7.86110 | + | 14.5364i | −0.257637 | + | 0.476410i | ||||
\(932\) | 5.35313 | + | 23.6522i | 0.175348 | + | 0.774753i | ||||
\(933\) | 49.9909 | + | 13.3950i | 1.63663 | + | 0.438533i | ||||
\(934\) | −18.1527 | − | 46.3766i | −0.593975 | − | 1.51749i | ||||
\(935\) | 11.2365 | + | 6.48742i | 0.367474 | + | 0.212161i | ||||
\(936\) | 0.343045 | + | 4.75188i | 0.0112128 | + | 0.155320i | ||||
\(937\) | − | 32.7804i | − | 1.07089i | −0.844570 | − | 0.535445i | \(-0.820144\pi\) | ||
0.844570 | − | 0.535445i | \(-0.179856\pi\) | |||||||
\(938\) | −35.6809 | − | 36.0888i | −1.16502 | − | 1.17834i | ||||
\(939\) | −1.88593 | + | 1.88593i | −0.0615450 | + | 0.0615450i | ||||
\(940\) | −19.8401 | − | 0.778574i | −0.647114 | − | 0.0253943i | ||||
\(941\) | −12.8312 | + | 3.43811i | −0.418285 | + | 0.112079i | −0.461822 | − | 0.886973i | \(-0.652804\pi\) |
0.0435366 | + | 0.999052i | \(0.486137\pi\) | |||||||
\(942\) | 6.88641 | − | 15.7447i | 0.224371 | − | 0.512989i | ||||
\(943\) | −18.0356 | − | 31.2387i | −0.587321 | − | 1.01727i | ||||
\(944\) | −14.3075 | + | 40.4152i | −0.465668 | + | 1.31540i | ||||
\(945\) | −3.61793 | − | 8.40156i | −0.117691 | − | 0.273303i | ||||
\(946\) | −0.648651 | + | 0.0724869i | −0.0210895 | + | 0.00235675i | ||||
\(947\) | −5.14310 | + | 19.1943i | −0.167128 | + | 0.623731i | 0.830631 | + | 0.556823i | \(0.187980\pi\) |
−0.997759 | + | 0.0669079i | \(0.978687\pi\) | |||||||
\(948\) | 49.0016 | − | 25.7840i | 1.59150 | − | 0.837424i | ||||
\(949\) | 0.298710 | + | 1.11480i | 0.00969655 | + | 0.0361880i | ||||
\(950\) | −0.500618 | + | 3.30098i | −0.0162422 | + | 0.107098i | ||||
\(951\) | − | 50.0521i | − | 1.62305i | ||||||
\(952\) | −16.0388 | + | 50.6437i | −0.519820 | + | 1.64137i | ||||
\(953\) | 2.53405i | 0.0820860i | 0.999157 | + | 0.0410430i | \(0.0130681\pi\) | ||||
−0.999157 | + | 0.0410430i | \(0.986932\pi\) | |||||||
\(954\) | 9.42589 | + | 1.42951i | 0.305175 | + | 0.0462821i | ||||
\(955\) | 1.69324 | + | 6.31926i | 0.0547920 | + | 0.204486i | ||||
\(956\) | 8.41824 | − | 27.1157i | 0.272265 | − | 0.876985i | ||||
\(957\) | 6.42390 | − | 23.9743i | 0.207655 | − | 0.774979i | ||||
\(958\) | −0.0653298 | − | 0.584605i | −0.00211071 | − | 0.0188877i | ||||
\(959\) | −8.03495 | + | 10.7789i | −0.259462 | + | 0.348070i | ||||
\(960\) | 13.0875 | − | 10.3204i | 0.422396 | − | 0.333088i | ||||
\(961\) | 13.5757 | + | 23.5138i | 0.437926 | + | 0.758509i | ||||
\(962\) | 9.70985 | + | 4.24690i | 0.313058 | + | 0.136925i | ||||
\(963\) | 5.98922 | − | 1.60481i | 0.193000 | − | 0.0517141i | ||||
\(964\) | 29.2749 | + | 31.6664i | 0.942882 | + | 1.01991i | ||||
\(965\) | −1.60865 | + | 1.60865i | −0.0517844 | + | 0.0517844i | ||||
\(966\) | 55.5815 | + | 15.2321i | 1.78831 | + | 0.490085i | ||||
\(967\) | − | 15.4926i | − | 0.498208i | −0.968477 | − | 0.249104i | \(-0.919864\pi\) | ||
0.968477 | − | 0.249104i | \(-0.0801361\pi\) | |||||||
\(968\) | 16.3820 | + | 14.1759i | 0.526536 | + | 0.455632i | ||||
\(969\) | −30.2379 | − | 17.4579i | −0.971382 | − | 0.560828i | ||||
\(970\) | −6.91377 | + | 2.70619i | −0.221988 | + | 0.0868905i | ||||
\(971\) | −35.9473 | − | 9.63206i | −1.15360 | − | 0.309107i | −0.369196 | − | 0.929352i | \(-0.620367\pi\) |
−0.784409 | + | 0.620244i | \(0.787033\pi\) | |||||||
\(972\) | −22.0113 | − | 13.8866i | −0.706012 | − | 0.445413i | ||||
\(973\) | 23.4868 | + | 29.7416i | 0.752953 | + | 0.953473i | ||||
\(974\) | 6.95579 | − | 0.777312i | 0.222878 | − | 0.0249067i | ||||
\(975\) | −1.30896 | − | 2.26719i | −0.0419203 | − | 0.0726081i | ||||
\(976\) | −19.4611 | + | 16.6245i | −0.622933 | + | 0.532138i | ||||
\(977\) | 8.64796 | − | 14.9787i | 0.276673 | − | 0.479211i | −0.693883 | − | 0.720088i | \(-0.744102\pi\) |
0.970556 | + | 0.240877i | \(0.0774349\pi\) | |||||||
\(978\) | −12.6870 | − | 17.2231i | −0.405686 | − | 0.550734i | ||||
\(979\) | 1.02051 | + | 1.02051i | 0.0326156 | + | 0.0326156i | ||||
\(980\) | −10.0114 | + | 9.78633i | −0.319802 | + | 0.312613i | ||||
\(981\) | −7.75763 | + | 7.75763i | −0.247682 | + | 0.247682i | ||||
\(982\) | 1.12798 | − | 7.43764i | 0.0359952 | − | 0.237345i | ||||
\(983\) | −7.86663 | − | 4.54180i | −0.250907 | − | 0.144861i | 0.369273 | − | 0.929321i | \(-0.379607\pi\) |
−0.620179 | + | 0.784460i | \(0.712940\pi\) | |||||||
\(984\) | 23.7994 | − | 16.1310i | 0.758697 | − | 0.514238i | ||||
\(985\) | 20.8554 | − | 12.0409i | 0.664510 | − | 0.383655i | ||||
\(986\) | −40.8456 | + | 51.1231i | −1.30079 | + | 1.62809i | ||||
\(987\) | 42.9462 | − | 33.9144i | 1.36699 | − | 1.07951i | ||||
\(988\) | −1.30970 | − | 5.78675i | −0.0416671 | − | 0.184101i | ||||
\(989\) | 0.483164 | − | 1.80319i | 0.0153637 | − | 0.0573382i | ||||
\(990\) | 3.17454 | + | 1.38848i | 0.100894 | + | 0.0441289i | ||||
\(991\) | 4.45961 | − | 7.72428i | 0.141664 | − | 0.245370i | −0.786459 | − | 0.617642i | \(-0.788088\pi\) |
0.928123 | + | 0.372273i | \(0.121421\pi\) | |||||||
\(992\) | 5.23018 | − | 9.78779i | 0.166058 | − | 0.310763i | ||||
\(993\) | −14.3456 | −0.455244 | ||||||||
\(994\) | −51.8292 | + | 29.5321i | −1.64392 | + | 0.936702i | ||||
\(995\) | 15.1194 | + | 15.1194i | 0.479316 | + | 0.479316i | ||||
\(996\) | −4.82041 | + | 4.45636i | −0.152740 | + | 0.141205i | ||||
\(997\) | 5.57198 | + | 20.7949i | 0.176466 | + | 0.658582i | 0.996297 | + | 0.0859759i | \(0.0274008\pi\) |
−0.819831 | + | 0.572606i | \(0.805933\pi\) | |||||||
\(998\) | 13.7219 | + | 35.0568i | 0.434360 | + | 1.10970i | ||||
\(999\) | −17.8567 | + | 10.3096i | −0.564962 | + | 0.326181i |
(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 | 560.2.cp.a.221.13 | ✓ | 256 | |
7.2 | even | 3 | inner | 560.2.cp.a.541.56 | yes | 256 | |
16.5 | even | 4 | inner | 560.2.cp.a.501.56 | yes | 256 | |
112.37 | even | 12 | inner | 560.2.cp.a.261.13 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
560.2.cp.a.221.13 | ✓ | 256 | 1.1 | even | 1 | trivial | |
560.2.cp.a.261.13 | yes | 256 | 112.37 | even | 12 | inner | |
560.2.cp.a.501.56 | yes | 256 | 16.5 | even | 4 | inner | |
560.2.cp.a.541.56 | yes | 256 | 7.2 | even | 3 | inner |