Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 43.5 | ||
Character | \(\chi\) | \(=\) | 81.43 |
Dual form | 81.2.g.a.49.5 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0876154 | + | 0.292656i | 0.0619534 | + | 0.206939i | 0.983362 | − | 0.181656i | \(-0.0581458\pi\) |
−0.921409 | + | 0.388595i | \(0.872961\pi\) | |||||||
\(3\) | 0.419241 | + | 1.68055i | 0.242049 | + | 0.970264i | ||||
\(4\) | 1.59300 | − | 1.04774i | 0.796502 | − | 0.523868i | ||||
\(5\) | −1.04144 | − | 2.41432i | −0.465745 | − | 1.07972i | −0.975619 | − | 0.219469i | \(-0.929567\pi\) |
0.509874 | − | 0.860249i | \(-0.329692\pi\) | |||||||
\(6\) | −0.455090 | + | 0.269935i | −0.185790 | + | 0.110200i | ||||
\(7\) | −0.211661 | + | 3.63407i | −0.0800002 | + | 1.37355i | 0.684541 | + | 0.728975i | \(0.260003\pi\) |
−0.764541 | + | 0.644575i | \(0.777034\pi\) | |||||||
\(8\) | 0.914234 | + | 0.767134i | 0.323231 | + | 0.271223i | ||||
\(9\) | −2.64847 | + | 1.40911i | −0.882825 | + | 0.469702i | ||||
\(10\) | 0.615319 | − | 0.516314i | 0.194581 | − | 0.163273i | ||||
\(11\) | −1.49756 | − | 2.01157i | −0.451531 | − | 0.606512i | 0.516823 | − | 0.856092i | \(-0.327115\pi\) |
−0.968354 | + | 0.249581i | \(0.919707\pi\) | |||||||
\(12\) | 2.42862 | + | 2.23787i | 0.701083 | + | 0.646016i | ||||
\(13\) | −2.52512 | − | 2.67647i | −0.700343 | − | 0.742320i | 0.275378 | − | 0.961336i | \(-0.411197\pi\) |
−0.975721 | + | 0.219016i | \(0.929715\pi\) | |||||||
\(14\) | −1.08208 | + | 0.256457i | −0.289197 | + | 0.0685410i | ||||
\(15\) | 3.62077 | − | 2.76237i | 0.934879 | − | 0.713240i | ||||
\(16\) | 1.36599 | − | 3.16671i | 0.341497 | − | 0.791678i | ||||
\(17\) | −0.339876 | − | 1.92753i | −0.0824319 | − | 0.467495i | −0.997881 | − | 0.0650615i | \(-0.979276\pi\) |
0.915449 | − | 0.402433i | \(-0.131835\pi\) | |||||||
\(18\) | −0.644430 | − | 0.651632i | −0.151894 | − | 0.153591i | ||||
\(19\) | 0.311537 | − | 1.76682i | 0.0714716 | − | 0.405335i | −0.927992 | − | 0.372599i | \(-0.878467\pi\) |
0.999464 | − | 0.0327364i | \(-0.0104222\pi\) | |||||||
\(20\) | −4.18859 | − | 2.75488i | −0.936597 | − | 0.616009i | ||||
\(21\) | −6.19596 | + | 1.16785i | −1.35207 | + | 0.254845i | ||||
\(22\) | 0.457489 | − | 0.614514i | 0.0975369 | − | 0.131015i | ||||
\(23\) | 0.494053 | + | 8.48256i | 0.103017 | + | 1.76874i | 0.514664 | + | 0.857392i | \(0.327917\pi\) |
−0.411647 | + | 0.911343i | \(0.635046\pi\) | |||||||
\(24\) | −0.905920 | + | 1.85803i | −0.184920 | + | 0.379268i | ||||
\(25\) | −1.31316 | + | 1.39186i | −0.262631 | + | 0.278373i | ||||
\(26\) | 0.562046 | − | 0.973492i | 0.110226 | − | 0.190917i | ||||
\(27\) | −3.47842 | − | 3.86013i | −0.669422 | − | 0.742882i | ||||
\(28\) | 3.47037 | + | 6.01086i | 0.655838 | + | 1.13595i | ||||
\(29\) | −1.99862 | − | 0.473681i | −0.371134 | − | 0.0879604i | 0.0408163 | − | 0.999167i | \(-0.487004\pi\) |
−0.411950 | + | 0.911206i | \(0.635152\pi\) | |||||||
\(30\) | 1.12566 | + | 0.817613i | 0.205516 | + | 0.149275i | ||||
\(31\) | 1.16881 | + | 0.586998i | 0.209924 | + | 0.105428i | 0.550655 | − | 0.834733i | \(-0.314378\pi\) |
−0.340731 | + | 0.940161i | \(0.610674\pi\) | |||||||
\(32\) | 3.41720 | + | 0.399413i | 0.604080 | + | 0.0706069i | ||||
\(33\) | 2.75270 | − | 3.36005i | 0.479184 | − | 0.584910i | ||||
\(34\) | 0.534324 | − | 0.268348i | 0.0916359 | − | 0.0460213i | ||||
\(35\) | 8.99425 | − | 3.27364i | 1.52031 | − | 0.553346i | ||||
\(36\) | −2.74266 | + | 5.01962i | −0.457110 | + | 0.836603i | ||||
\(37\) | 4.98391 | + | 1.81400i | 0.819351 | + | 0.298219i | 0.717481 | − | 0.696579i | \(-0.245295\pi\) |
0.101870 | + | 0.994798i | \(0.467517\pi\) | |||||||
\(38\) | 0.544364 | − | 0.0636270i | 0.0883075 | − | 0.0103217i | ||||
\(39\) | 3.43931 | − | 5.36568i | 0.550730 | − | 0.859196i | ||||
\(40\) | 0.899991 | − | 3.00618i | 0.142301 | − | 0.475319i | ||||
\(41\) | −1.81134 | + | 6.05029i | −0.282883 | + | 0.944896i | 0.691947 | + | 0.721948i | \(0.256753\pi\) |
−0.974830 | + | 0.222948i | \(0.928432\pi\) | |||||||
\(42\) | −0.884638 | − | 1.71096i | −0.136503 | − | 0.264007i | ||||
\(43\) | −10.0257 | + | 1.17184i | −1.52890 | + | 0.178703i | −0.838572 | − | 0.544790i | \(-0.816609\pi\) |
−0.690331 | + | 0.723494i | \(0.742535\pi\) | |||||||
\(44\) | −4.49321 | − | 1.63540i | −0.677378 | − | 0.246545i | ||||
\(45\) | 6.16026 | + | 4.92678i | 0.918317 | + | 0.734440i | ||||
\(46\) | −2.43918 | + | 0.887789i | −0.359638 | + | 0.130897i | ||||
\(47\) | 8.24768 | − | 4.14214i | 1.20305 | − | 0.604193i | 0.269623 | − | 0.962966i | \(-0.413101\pi\) |
0.933425 | + | 0.358773i | \(0.116805\pi\) | |||||||
\(48\) | 5.89449 | + | 0.967989i | 0.850796 | + | 0.139717i | ||||
\(49\) | −6.20900 | − | 0.725728i | −0.887000 | − | 0.103675i | ||||
\(50\) | −0.522390 | − | 0.262354i | −0.0738770 | − | 0.0371024i | ||||
\(51\) | 3.09681 | − | 1.37928i | 0.433641 | − | 0.193137i | ||||
\(52\) | −6.82677 | − | 1.61797i | −0.946703 | − | 0.224373i | ||||
\(53\) | 6.60535 | + | 11.4408i | 0.907314 | + | 1.57151i | 0.817781 | + | 0.575530i | \(0.195204\pi\) |
0.0895334 | + | 0.995984i | \(0.471462\pi\) | |||||||
\(54\) | 0.824926 | − | 1.35619i | 0.112258 | − | 0.184554i | ||||
\(55\) | −3.29697 | + | 5.71052i | −0.444563 | + | 0.770006i | ||||
\(56\) | −2.98133 | + | 3.16002i | −0.398396 | + | 0.422276i | ||||
\(57\) | 3.09983 | − | 0.217168i | 0.410582 | − | 0.0287646i | ||||
\(58\) | −0.0364842 | − | 0.626409i | −0.00479060 | − | 0.0822515i | ||||
\(59\) | −0.558312 | + | 0.749943i | −0.0726860 | + | 0.0976343i | −0.836979 | − | 0.547235i | \(-0.815681\pi\) |
0.764293 | + | 0.644869i | \(0.223088\pi\) | |||||||
\(60\) | 2.87367 | − | 8.19407i | 0.370990 | − | 1.05785i | ||||
\(61\) | 1.64977 | + | 1.08507i | 0.211232 | + | 0.138929i | 0.650717 | − | 0.759321i | \(-0.274469\pi\) |
−0.439485 | + | 0.898250i | \(0.644839\pi\) | |||||||
\(62\) | −0.0693827 | + | 0.393489i | −0.00881161 | + | 0.0499731i | ||||
\(63\) | −4.56022 | − | 9.92300i | −0.574533 | − | 1.25018i | ||||
\(64\) | −1.01524 | − | 5.75769i | −0.126904 | − | 0.719711i | ||||
\(65\) | −3.83212 | + | 8.88384i | −0.475316 | + | 1.10191i | ||||
\(66\) | 1.22452 | + | 0.511202i | 0.150728 | + | 0.0629246i | ||||
\(67\) | 5.81052 | − | 1.37712i | 0.709868 | − | 0.168242i | 0.140208 | − | 0.990122i | \(-0.455223\pi\) |
0.569660 | + | 0.821880i | \(0.307075\pi\) | |||||||
\(68\) | −2.56097 | − | 2.71446i | −0.310563 | − | 0.329177i | ||||
\(69\) | −14.0482 | + | 4.38651i | −1.69121 | + | 0.528074i | ||||
\(70\) | 1.74608 | + | 2.34540i | 0.208697 | + | 0.280329i | ||||
\(71\) | 4.97716 | − | 4.17634i | 0.590681 | − | 0.495640i | −0.297754 | − | 0.954643i | \(-0.596238\pi\) |
0.888435 | + | 0.459003i | \(0.151793\pi\) | |||||||
\(72\) | −3.50230 | − | 0.743480i | −0.412750 | − | 0.0876199i | ||||
\(73\) | −5.04878 | − | 4.23643i | −0.590915 | − | 0.495837i | 0.297596 | − | 0.954692i | \(-0.403815\pi\) |
−0.888511 | + | 0.458855i | \(0.848260\pi\) | |||||||
\(74\) | −0.0942089 | + | 1.61750i | −0.0109516 | + | 0.188031i | ||||
\(75\) | −2.88962 | − | 1.62329i | −0.333665 | − | 0.187442i | ||||
\(76\) | −1.35488 | − | 3.14095i | −0.155415 | − | 0.360292i | ||||
\(77\) | 7.62717 | − | 5.01647i | 0.869196 | − | 0.571680i | ||||
\(78\) | 1.87163 | + | 0.536417i | 0.211921 | + | 0.0607372i | ||||
\(79\) | 3.33457 | + | 11.1382i | 0.375168 | + | 1.25315i | 0.912255 | + | 0.409622i | \(0.134339\pi\) |
−0.537087 | + | 0.843527i | \(0.680475\pi\) | |||||||
\(80\) | −9.06806 | −1.01384 | ||||||||
\(81\) | 5.02883 | − | 7.46397i | 0.558759 | − | 0.829330i | ||||
\(82\) | −1.92935 | −0.213061 | ||||||||
\(83\) | −4.89203 | − | 16.3405i | −0.536970 | − | 1.79361i | −0.605366 | − | 0.795947i | \(-0.706973\pi\) |
0.0683955 | − | 0.997658i | \(-0.478212\pi\) | |||||||
\(84\) | −8.64660 | + | 8.35211i | −0.943422 | + | 0.911290i | ||||
\(85\) | −4.29972 | + | 2.82797i | −0.466370 | + | 0.306737i | ||||
\(86\) | −1.22135 | − | 2.83140i | −0.131701 | − | 0.305318i | ||||
\(87\) | −0.0418588 | − | 3.55736i | −0.00448773 | − | 0.381389i | ||||
\(88\) | 0.174024 | − | 2.98788i | 0.0185510 | − | 0.318509i | ||||
\(89\) | −3.64757 | − | 3.06067i | −0.386641 | − | 0.324430i | 0.428662 | − | 0.903465i | \(-0.358985\pi\) |
−0.815303 | + | 0.579035i | \(0.803430\pi\) | |||||||
\(90\) | −0.902116 | + | 2.23450i | −0.0950913 | + | 0.235537i | ||||
\(91\) | 10.2610 | − | 8.60997i | 1.07564 | − | 0.902570i | ||||
\(92\) | 9.67450 | + | 12.9951i | 1.00864 | + | 1.35483i | ||||
\(93\) | −0.496465 | + | 2.21033i | −0.0514810 | + | 0.229201i | ||||
\(94\) | 1.93484 | + | 2.05081i | 0.199564 | + | 0.211525i | ||||
\(95\) | −4.59011 | + | 1.08788i | −0.470935 | + | 0.111614i | ||||
\(96\) | 0.761396 | + | 5.91021i | 0.0777096 | + | 0.603208i | ||||
\(97\) | 3.59792 | − | 8.34092i | 0.365314 | − | 0.846892i | −0.632091 | − | 0.774894i | \(-0.717803\pi\) |
0.997405 | − | 0.0719981i | \(-0.0229376\pi\) | |||||||
\(98\) | −0.331615 | − | 1.88068i | −0.0334982 | − | 0.189978i | ||||
\(99\) | 6.80077 | + | 3.21737i | 0.683503 | + | 0.323358i | ||||
\(100\) | −0.633558 | + | 3.59309i | −0.0633558 | + | 0.359309i | ||||
\(101\) | −0.123664 | − | 0.0813354i | −0.0123051 | − | 0.00809317i | 0.543342 | − | 0.839512i | \(-0.317159\pi\) |
−0.555647 | + | 0.831419i | \(0.687529\pi\) | |||||||
\(102\) | 0.674981 | + | 0.785455i | 0.0668331 | + | 0.0777716i | ||||
\(103\) | −8.14782 | + | 10.9444i | −0.802829 | + | 1.07839i | 0.192448 | + | 0.981307i | \(0.438357\pi\) |
−0.995277 | + | 0.0970787i | \(0.969050\pi\) | |||||||
\(104\) | −0.255341 | − | 4.38403i | −0.0250382 | − | 0.429890i | ||||
\(105\) | 9.27226 | + | 13.7428i | 0.904880 | + | 1.34116i | ||||
\(106\) | −2.76948 | + | 2.93548i | −0.268996 | + | 0.285119i | ||||
\(107\) | −0.424082 | + | 0.734532i | −0.0409976 | + | 0.0710098i | −0.885796 | − | 0.464075i | \(-0.846387\pi\) |
0.844799 | + | 0.535085i | \(0.179720\pi\) | |||||||
\(108\) | −9.58553 | − | 2.50474i | −0.922368 | − | 0.241019i | ||||
\(109\) | −2.42376 | − | 4.19808i | −0.232154 | − | 0.402103i | 0.726288 | − | 0.687391i | \(-0.241244\pi\) |
−0.958442 | + | 0.285288i | \(0.907911\pi\) | |||||||
\(110\) | −1.96008 | − | 0.464548i | −0.186886 | − | 0.0442929i | ||||
\(111\) | −0.959046 | + | 9.13620i | −0.0910286 | + | 0.867170i | ||||
\(112\) | 11.2189 | + | 5.63436i | 1.06009 | + | 0.532397i | ||||
\(113\) | −9.08877 | − | 1.06233i | −0.855000 | − | 0.0999352i | −0.322711 | − | 0.946498i | \(-0.604594\pi\) |
−0.532289 | + | 0.846563i | \(0.678668\pi\) | |||||||
\(114\) | 0.335148 | + | 0.888154i | 0.0313895 | + | 0.0831833i | ||||
\(115\) | 19.9651 | − | 10.0269i | 1.86176 | − | 0.935009i | ||||
\(116\) | −3.68010 | + | 1.33945i | −0.341689 | + | 0.124365i | ||||
\(117\) | 10.4592 | + | 3.53040i | 0.966950 | + | 0.326386i | ||||
\(118\) | −0.268392 | − | 0.0976866i | −0.0247075 | − | 0.00899278i | ||||
\(119\) | 7.07672 | − | 0.827150i | 0.648722 | − | 0.0758247i | ||||
\(120\) | 5.42934 | + | 0.252164i | 0.495628 | + | 0.0230193i | ||||
\(121\) | 1.35110 | − | 4.51299i | 0.122827 | − | 0.410272i | ||||
\(122\) | −0.173007 | + | 0.577884i | −0.0156633 | + | 0.0523192i | ||||
\(123\) | −10.9272 | − | 0.507510i | −0.985270 | − | 0.0457606i | ||||
\(124\) | 2.47694 | − | 0.289512i | 0.222435 | − | 0.0259990i | ||||
\(125\) | −7.62598 | − | 2.77563i | −0.682089 | − | 0.248260i | ||||
\(126\) | 2.50448 | − | 2.20398i | 0.223116 | − | 0.196346i | ||||
\(127\) | −0.721881 | + | 0.262743i | −0.0640566 | + | 0.0233147i | −0.373850 | − | 0.927489i | \(-0.621962\pi\) |
0.309793 | + | 0.950804i | \(0.399740\pi\) | |||||||
\(128\) | 7.74508 | − | 3.88973i | 0.684575 | − | 0.343806i | ||||
\(129\) | −6.17250 | − | 16.3574i | −0.543458 | − | 1.44019i | ||||
\(130\) | −2.93566 | − | 0.343129i | −0.257474 | − | 0.0300944i | ||||
\(131\) | 7.23834 | + | 3.63523i | 0.632417 | + | 0.317612i | 0.735972 | − | 0.677012i | \(-0.236726\pi\) |
−0.103555 | + | 0.994624i | \(0.533022\pi\) | |||||||
\(132\) | 0.864621 | − | 8.23668i | 0.0752556 | − | 0.716911i | ||||
\(133\) | 6.35479 | + | 1.50611i | 0.551031 | + | 0.130597i | ||||
\(134\) | 0.912112 | + | 1.57982i | 0.0787945 | + | 0.136476i | ||||
\(135\) | −5.69705 | + | 12.4181i | −0.490324 | + | 1.06878i | ||||
\(136\) | 1.16795 | − | 2.02294i | 0.100151 | − | 0.173466i | ||||
\(137\) | −6.33321 | + | 6.71281i | −0.541082 | + | 0.573514i | −0.939004 | − | 0.343905i | \(-0.888250\pi\) |
0.397922 | + | 0.917419i | \(0.369732\pi\) | |||||||
\(138\) | −2.51458 | − | 3.72696i | −0.214055 | − | 0.317260i | ||||
\(139\) | 0.581362 | + | 9.98160i | 0.0493105 | + | 0.846628i | 0.928770 | + | 0.370655i | \(0.120867\pi\) |
−0.879460 | + | 0.475973i | \(0.842096\pi\) | |||||||
\(140\) | 10.8980 | − | 14.6385i | 0.921047 | − | 1.23718i | ||||
\(141\) | 10.4188 | + | 12.1241i | 0.877423 | + | 1.02103i | ||||
\(142\) | 1.65830 | + | 1.09068i | 0.139162 | + | 0.0915282i | ||||
\(143\) | −1.60240 | + | 9.08765i | −0.133999 | + | 0.759947i | ||||
\(144\) | 0.844458 | + | 10.3118i | 0.0703715 | + | 0.859315i | ||||
\(145\) | 0.937816 | + | 5.31862i | 0.0778814 | + | 0.441687i | ||||
\(146\) | 0.797465 | − | 1.84873i | 0.0659986 | − | 0.153002i | ||||
\(147\) | −1.38345 | − | 10.7388i | −0.114105 | − | 0.885719i | ||||
\(148\) | 9.83999 | − | 2.33212i | 0.808842 | − | 0.191699i | ||||
\(149\) | 1.12805 | + | 1.19566i | 0.0924131 | + | 0.0979522i | 0.771929 | − | 0.635708i | \(-0.219292\pi\) |
−0.679516 | + | 0.733660i | \(0.737810\pi\) | |||||||
\(150\) | 0.221891 | − | 0.987889i | 0.0181173 | − | 0.0806608i | ||||
\(151\) | −8.90781 | − | 11.9653i | −0.724908 | − | 0.973720i | −0.999925 | − | 0.0122805i | \(-0.996091\pi\) |
0.275017 | − | 0.961439i | \(-0.411317\pi\) | |||||||
\(152\) | 1.64020 | − | 1.37629i | 0.133038 | − | 0.111632i | ||||
\(153\) | 3.61625 | + | 4.62609i | 0.292356 | + | 0.373997i | ||||
\(154\) | 2.13635 | + | 1.79261i | 0.172152 | + | 0.144453i | ||||
\(155\) | 0.199961 | − | 3.43320i | 0.0160613 | − | 0.275762i | ||||
\(156\) | −0.142979 | − | 12.1510i | −0.0114475 | − | 0.972861i | ||||
\(157\) | −0.107424 | − | 0.249037i | −0.00857337 | − | 0.0198753i | 0.913876 | − | 0.405994i | \(-0.133075\pi\) |
−0.922449 | + | 0.386119i | \(0.873815\pi\) | |||||||
\(158\) | −2.96751 | + | 1.95176i | −0.236082 | + | 0.155274i | ||||
\(159\) | −16.4576 | + | 15.8970i | −1.30517 | + | 1.26072i | ||||
\(160\) | −2.59448 | − | 8.66618i | −0.205112 | − | 0.685121i | ||||
\(161\) | −30.9308 | −2.43769 | ||||||||
\(162\) | 2.62498 | + | 0.817758i | 0.206238 | + | 0.0642492i | ||||
\(163\) | −1.95301 | −0.152972 | −0.0764858 | − | 0.997071i | \(-0.524370\pi\) | ||||
−0.0764858 | + | 0.997071i | \(0.524370\pi\) | |||||||
\(164\) | 3.45363 | + | 11.5359i | 0.269683 | + | 0.900805i | ||||
\(165\) | −10.9790 | − | 3.14663i | −0.854715 | − | 0.244965i | ||||
\(166\) | 4.35353 | − | 2.86336i | 0.337900 | − | 0.222240i | ||||
\(167\) | −3.03463 | − | 7.03507i | −0.234827 | − | 0.544390i | 0.759531 | − | 0.650472i | \(-0.225429\pi\) |
−0.994357 | + | 0.106082i | \(0.966169\pi\) | |||||||
\(168\) | −6.56046 | − | 3.68545i | −0.506150 | − | 0.284338i | ||||
\(169\) | −0.0313845 | + | 0.538851i | −0.00241419 | + | 0.0414501i | ||||
\(170\) | −1.20434 | − | 1.01056i | −0.0923689 | − | 0.0775067i | ||||
\(171\) | 1.66453 | + | 5.11836i | 0.127290 | + | 0.391410i | ||||
\(172\) | −14.7432 | + | 12.3710i | −1.12416 | + | 0.943281i | ||||
\(173\) | −3.61748 | − | 4.85912i | −0.275032 | − | 0.369432i | 0.643049 | − | 0.765825i | \(-0.277669\pi\) |
−0.918081 | + | 0.396393i | \(0.870262\pi\) | |||||||
\(174\) | 1.03741 | − | 0.323929i | 0.0786461 | − | 0.0245570i | ||||
\(175\) | −4.78019 | − | 5.06670i | −0.361348 | − | 0.383007i | ||||
\(176\) | −8.41572 | + | 1.99456i | −0.634358 | + | 0.150346i | ||||
\(177\) | −1.49438 | − | 0.623863i | −0.112325 | − | 0.0468924i | ||||
\(178\) | 0.576140 | − | 1.33564i | 0.0431835 | − | 0.100111i | ||||
\(179\) | 0.479893 | + | 2.72161i | 0.0358689 | + | 0.203423i | 0.997476 | − | 0.0710082i | \(-0.0226217\pi\) |
−0.961607 | + | 0.274431i | \(0.911511\pi\) | |||||||
\(180\) | 14.9753 | + | 1.39405i | 1.11619 | + | 0.103907i | ||||
\(181\) | 1.53100 | − | 8.68276i | 0.113799 | − | 0.645384i | −0.873539 | − | 0.486754i | \(-0.838181\pi\) |
0.987338 | − | 0.158631i | \(-0.0507080\pi\) | |||||||
\(182\) | 3.41878 | + | 2.24856i | 0.253417 | + | 0.166675i | ||||
\(183\) | −1.13186 | + | 3.22743i | −0.0836697 | + | 0.238578i | ||||
\(184\) | −6.05558 | + | 8.13405i | −0.446423 | + | 0.599650i | ||||
\(185\) | −0.810861 | − | 13.9219i | −0.0596157 | − | 1.02356i | ||||
\(186\) | −0.690364 | + | 0.0483657i | −0.0506199 | + | 0.00354634i | ||||
\(187\) | −3.36838 | + | 3.57028i | −0.246320 | + | 0.261084i | ||||
\(188\) | 8.79872 | − | 15.2398i | 0.641713 | − | 1.11148i | ||||
\(189\) | 14.7642 | − | 11.8238i | 1.07394 | − | 0.860054i | ||||
\(190\) | −0.720537 | − | 1.24801i | −0.0522733 | − | 0.0905400i | ||||
\(191\) | 1.80248 | + | 0.427196i | 0.130423 | + | 0.0309108i | 0.295309 | − | 0.955402i | \(-0.404577\pi\) |
−0.164886 | + | 0.986313i | \(0.552726\pi\) | |||||||
\(192\) | 9.25043 | − | 4.12001i | 0.667593 | − | 0.297336i | ||||
\(193\) | 0.308962 | + | 0.155167i | 0.0222396 | + | 0.0111691i | 0.459884 | − | 0.887979i | \(-0.347891\pi\) |
−0.437645 | + | 0.899148i | \(0.644187\pi\) | |||||||
\(194\) | 2.75625 | + | 0.322160i | 0.197887 | + | 0.0231297i | ||||
\(195\) | −16.5363 | − | 2.71558i | −1.18419 | − | 0.194467i | ||||
\(196\) | −10.6513 | + | 5.34931i | −0.760810 | + | 0.382093i | ||||
\(197\) | 21.2308 | − | 7.72738i | 1.51263 | − | 0.550553i | 0.553336 | − | 0.832958i | \(-0.313354\pi\) |
0.959295 | + | 0.282405i | \(0.0911322\pi\) | |||||||
\(198\) | −0.345731 | + | 2.27217i | −0.0245700 | + | 0.161476i | ||||
\(199\) | −13.8558 | − | 5.04311i | −0.982214 | − | 0.357497i | −0.199513 | − | 0.979895i | \(-0.563936\pi\) |
−0.782700 | + | 0.622399i | \(0.786158\pi\) | |||||||
\(200\) | −2.26828 | + | 0.265124i | −0.160391 | + | 0.0187471i | ||||
\(201\) | 4.75032 | + | 9.18750i | 0.335062 | + | 0.648036i | ||||
\(202\) | 0.0129684 | − | 0.0433173i | 0.000912451 | − | 0.00304780i | ||||
\(203\) | 2.14442 | − | 7.16286i | 0.150509 | − | 0.502734i | ||||
\(204\) | 3.48812 | − | 5.44184i | 0.244218 | − | 0.381005i | ||||
\(205\) | 16.4937 | − | 1.92784i | 1.15197 | − | 0.134646i | ||||
\(206\) | −3.91682 | − | 1.42561i | −0.272898 | − | 0.0993267i | ||||
\(207\) | −13.2613 | − | 21.7697i | −0.921725 | − | 1.51310i | ||||
\(208\) | −11.9249 | + | 4.34031i | −0.826844 | + | 0.300947i | ||||
\(209\) | −4.02062 | + | 2.01923i | −0.278112 | + | 0.139673i | ||||
\(210\) | −3.20952 | + | 3.91766i | −0.221478 | + | 0.270344i | ||||
\(211\) | 12.8979 | + | 1.50755i | 0.887926 | + | 0.103784i | 0.547813 | − | 0.836601i | \(-0.315460\pi\) |
0.340113 | + | 0.940384i | \(0.389535\pi\) | |||||||
\(212\) | 22.5093 | + | 11.3046i | 1.54594 | + | 0.776402i | ||||
\(213\) | 9.10516 | + | 6.61347i | 0.623875 | + | 0.453147i | ||||
\(214\) | −0.252121 | − | 0.0597538i | −0.0172346 | − | 0.00408468i | ||||
\(215\) | 13.2703 | + | 22.9849i | 0.905028 | + | 1.56755i | ||||
\(216\) | −0.218854 | − | 6.19748i | −0.0148912 | − | 0.421685i | ||||
\(217\) | −2.38058 | + | 4.12329i | −0.161604 | + | 0.279907i | ||||
\(218\) | 1.01623 | − | 1.07714i | 0.0688279 | − | 0.0729534i | ||||
\(219\) | 5.00286 | − | 10.2608i | 0.338062 | − | 0.693360i | ||||
\(220\) | 0.731026 | + | 12.5512i | 0.0492858 | + | 0.846204i | ||||
\(221\) | −4.30076 | + | 5.77692i | −0.289300 | + | 0.388598i | ||||
\(222\) | −2.75779 | + | 0.519801i | −0.185091 | + | 0.0348868i | ||||
\(223\) | 12.3994 | + | 8.15524i | 0.830328 | + | 0.546115i | 0.892028 | − | 0.451979i | \(-0.149282\pi\) |
−0.0617002 | + | 0.998095i | \(0.519652\pi\) | |||||||
\(224\) | −2.17478 | + | 12.3338i | −0.145309 | + | 0.824086i | ||||
\(225\) | 1.51657 | − | 5.53669i | 0.101105 | − | 0.369113i | ||||
\(226\) | −0.485421 | − | 2.75296i | −0.0322897 | − | 0.183124i | ||||
\(227\) | −2.21901 | + | 5.14424i | −0.147281 | + | 0.341435i | −0.975847 | − | 0.218456i | \(-0.929898\pi\) |
0.828566 | + | 0.559892i | \(0.189157\pi\) | |||||||
\(228\) | 4.71050 | − | 3.59375i | 0.311961 | − | 0.238002i | ||||
\(229\) | −19.3832 | + | 4.59389i | −1.28088 | + | 0.303573i | −0.814059 | − | 0.580782i | \(-0.802747\pi\) |
−0.466816 | + | 0.884355i | \(0.654599\pi\) | |||||||
\(230\) | 4.68367 | + | 4.96440i | 0.308832 | + | 0.327343i | ||||
\(231\) | 11.6280 | + | 10.7147i | 0.765068 | + | 0.704976i | ||||
\(232\) | −1.46383 | − | 1.96626i | −0.0961051 | − | 0.129092i | ||||
\(233\) | −4.48492 | + | 3.76330i | −0.293817 | + | 0.246542i | −0.777765 | − | 0.628555i | \(-0.783647\pi\) |
0.483948 | + | 0.875097i | \(0.339202\pi\) | |||||||
\(234\) | −0.116809 | + | 3.37025i | −0.00763607 | + | 0.220320i | ||||
\(235\) | −18.5899 | − | 15.5988i | −1.21267 | − | 1.01755i | ||||
\(236\) | −0.103651 | + | 1.77963i | −0.00674713 | + | 0.115844i | ||||
\(237\) | −17.3203 | + | 10.2735i | −1.12508 | + | 0.667335i | ||||
\(238\) | 0.862099 | + | 1.99857i | 0.0558816 | + | 0.129548i | ||||
\(239\) | −12.4619 | + | 8.19630i | −0.806091 | + | 0.530174i | −0.884386 | − | 0.466756i | \(-0.845423\pi\) |
0.0782952 | + | 0.996930i | \(0.475052\pi\) | |||||||
\(240\) | −3.80170 | − | 15.2393i | −0.245399 | − | 0.983692i | ||||
\(241\) | 0.0645147 | + | 0.215494i | 0.00415575 | + | 0.0138812i | 0.960042 | − | 0.279855i | \(-0.0902864\pi\) |
−0.955886 | + | 0.293736i | \(0.905101\pi\) | |||||||
\(242\) | 1.43913 | 0.0925107 | ||||||||
\(243\) | 14.6518 | + | 5.32199i | 0.939916 | + | 0.341406i | ||||
\(244\) | 3.76497 | 0.241027 | ||||||||
\(245\) | 4.71414 | + | 15.7463i | 0.301176 | + | 1.00600i | ||||
\(246\) | −0.808863 | − | 3.24236i | −0.0515712 | − | 0.206726i | ||||
\(247\) | −5.51551 | + | 3.62761i | −0.350943 | + | 0.230819i | ||||
\(248\) | 0.618259 | + | 1.43329i | 0.0392595 | + | 0.0910138i | ||||
\(249\) | 25.4101 | − | 15.0719i | 1.61030 | − | 0.955143i | ||||
\(250\) | 0.144151 | − | 2.47498i | 0.00911690 | − | 0.156531i | ||||
\(251\) | 0.0887945 | + | 0.0745074i | 0.00560466 | + | 0.00470286i | 0.645586 | − | 0.763688i | \(-0.276613\pi\) |
−0.639981 | + | 0.768391i | \(0.721058\pi\) | |||||||
\(252\) | −17.6611 | − | 11.0295i | −1.11255 | − | 0.694792i | ||||
\(253\) | 16.3234 | − | 13.6970i | 1.02624 | − | 0.861120i | ||||
\(254\) | −0.140141 | − | 0.188242i | −0.00879323 | − | 0.0118114i | ||||
\(255\) | −6.55516 | − | 6.04028i | −0.410500 | − | 0.378257i | ||||
\(256\) | −6.20730 | − | 6.57935i | −0.387956 | − | 0.411209i | ||||
\(257\) | 8.70398 | − | 2.06288i | 0.542939 | − | 0.128679i | 0.0500106 | − | 0.998749i | \(-0.484074\pi\) |
0.492929 | + | 0.870070i | \(0.335926\pi\) | |||||||
\(258\) | 4.24627 | − | 3.23957i | 0.264361 | − | 0.201687i | ||||
\(259\) | −7.64709 | + | 17.7279i | −0.475167 | + | 1.10156i | ||||
\(260\) | 3.20334 | + | 18.1671i | 0.198663 | + | 1.12667i | ||||
\(261\) | 5.96076 | − | 1.56174i | 0.368962 | − | 0.0966690i | ||||
\(262\) | −0.429681 | + | 2.43684i | −0.0265458 | + | 0.150549i | ||||
\(263\) | 13.1978 | + | 8.68030i | 0.813809 | + | 0.535250i | 0.886839 | − | 0.462079i | \(-0.152897\pi\) |
−0.0730300 | + | 0.997330i | \(0.523267\pi\) | |||||||
\(264\) | 5.09422 | − | 0.960184i | 0.313528 | − | 0.0590952i | ||||
\(265\) | 20.7427 | − | 27.8623i | 1.27422 | − | 1.71157i | ||||
\(266\) | 0.116005 | + | 1.99173i | 0.00711271 | + | 0.122121i | ||||
\(267\) | 3.61439 | − | 7.41306i | 0.221197 | − | 0.453672i | ||||
\(268\) | 7.81333 | − | 8.28164i | 0.477275 | − | 0.505882i | ||||
\(269\) | 12.1223 | − | 20.9965i | 0.739111 | − | 1.28018i | −0.213784 | − | 0.976881i | \(-0.568579\pi\) |
0.952896 | − | 0.303298i | \(-0.0980877\pi\) | |||||||
\(270\) | −4.13338 | − | 0.579255i | −0.251549 | − | 0.0352524i | ||||
\(271\) | 7.20041 | + | 12.4715i | 0.437394 | + | 0.757588i | 0.997488 | − | 0.0708408i | \(-0.0225682\pi\) |
−0.560094 | + | 0.828429i | \(0.689235\pi\) | |||||||
\(272\) | −6.56820 | − | 1.55669i | −0.398256 | − | 0.0943883i | ||||
\(273\) | 18.7713 | + | 13.6344i | 1.13609 | + | 0.825190i | ||||
\(274\) | −2.51943 | − | 1.26530i | −0.152204 | − | 0.0764398i | ||||
\(275\) | 4.76636 | + | 0.557108i | 0.287423 | + | 0.0335949i | ||||
\(276\) | −17.7830 | + | 21.7065i | −1.07041 | + | 1.30658i | ||||
\(277\) | −24.8427 | + | 12.4765i | −1.49266 | + | 0.749640i | −0.993169 | − | 0.116682i | \(-0.962774\pi\) |
−0.499486 | + | 0.866322i | \(0.666478\pi\) | |||||||
\(278\) | −2.87024 | + | 1.04468i | −0.172145 | + | 0.0626558i | ||||
\(279\) | −3.92270 | + | 0.0923282i | −0.234846 | + | 0.00552755i | ||||
\(280\) | 10.7342 | + | 3.90692i | 0.641490 | + | 0.233483i | ||||
\(281\) | −10.1221 | + | 1.18311i | −0.603835 | + | 0.0705782i | −0.412517 | − | 0.910950i | \(-0.635350\pi\) |
−0.191318 | + | 0.981528i | \(0.561276\pi\) | |||||||
\(282\) | −2.63532 | + | 4.11138i | −0.156931 | + | 0.244829i | ||||
\(283\) | −8.29289 | + | 27.7002i | −0.492961 | + | 1.64661i | 0.243332 | + | 0.969943i | \(0.421760\pi\) |
−0.736293 | + | 0.676663i | \(0.763426\pi\) | |||||||
\(284\) | 3.55295 | − | 11.8677i | 0.210829 | − | 0.704217i | ||||
\(285\) | −3.75259 | − | 7.25781i | −0.222284 | − | 0.429916i | ||||
\(286\) | −2.79995 | + | 0.327267i | −0.165564 | + | 0.0193517i | ||||
\(287\) | −21.6038 | − | 7.86313i | −1.27523 | − | 0.464146i | ||||
\(288\) | −9.61317 | + | 3.75736i | −0.566461 | + | 0.221405i | ||||
\(289\) | 12.3749 | − | 4.50410i | 0.727936 | − | 0.264947i | ||||
\(290\) | −1.47436 | + | 0.740450i | −0.0865772 | + | 0.0434807i | ||||
\(291\) | 15.5257 | + | 2.54962i | 0.910133 | + | 0.149462i | ||||
\(292\) | −12.4814 | − | 1.45887i | −0.730418 | − | 0.0853736i | ||||
\(293\) | −26.4909 | − | 13.3042i | −1.54761 | − | 0.777241i | −0.549319 | − | 0.835613i | \(-0.685113\pi\) |
−0.998295 | + | 0.0583717i | \(0.981409\pi\) | |||||||
\(294\) | 3.02155 | − | 1.34576i | 0.176220 | − | 0.0784860i | ||||
\(295\) | 2.39205 | + | 0.566927i | 0.139271 | + | 0.0330077i | ||||
\(296\) | 3.16489 | + | 5.48175i | 0.183955 | + | 0.318620i | ||||
\(297\) | −2.55579 | + | 12.7779i | −0.148302 | + | 0.741447i | ||||
\(298\) | −0.251082 | + | 0.434887i | −0.0145448 | + | 0.0251923i | ||||
\(299\) | 21.4558 | − | 22.7418i | 1.24082 | − | 1.31519i | ||||
\(300\) | −6.30396 | + | 0.441644i | −0.363959 | + | 0.0254983i | ||||
\(301\) | −2.13649 | − | 36.6821i | −0.123145 | − | 2.11432i | ||||
\(302\) | 2.72124 | − | 3.65526i | 0.156590 | − | 0.210337i | ||||
\(303\) | 0.0848428 | − | 0.241923i | 0.00487409 | − | 0.0138981i | ||||
\(304\) | −5.16944 | − | 3.40000i | −0.296488 | − | 0.195003i | ||||
\(305\) | 0.901581 | − | 5.11312i | 0.0516244 | − | 0.292776i | ||||
\(306\) | −1.03701 | + | 1.46363i | −0.0592821 | + | 0.0836703i | ||||
\(307\) | 1.79762 | + | 10.1948i | 0.102595 | + | 0.581848i | 0.992154 | + | 0.125026i | \(0.0399013\pi\) |
−0.889558 | + | 0.456822i | \(0.848988\pi\) | |||||||
\(308\) | 6.89418 | − | 15.9825i | 0.392833 | − | 0.910688i | ||||
\(309\) | −21.8085 | − | 9.10444i | −1.24064 | − | 0.517934i | ||||
\(310\) | 1.02227 | − | 0.242282i | 0.0580608 | − | 0.0137607i | ||||
\(311\) | −5.51859 | − | 5.84936i | −0.312930 | − | 0.331687i | 0.551750 | − | 0.834010i | \(-0.313960\pi\) |
−0.864680 | + | 0.502323i | \(0.832479\pi\) | |||||||
\(312\) | 7.26052 | − | 2.26708i | 0.411046 | − | 0.128348i | ||||
\(313\) | 2.01619 | + | 2.70821i | 0.113962 | + | 0.153077i | 0.855444 | − | 0.517895i | \(-0.173284\pi\) |
−0.741482 | + | 0.670972i | \(0.765877\pi\) | |||||||
\(314\) | 0.0634701 | − | 0.0532577i | 0.00358182 | − | 0.00300551i | ||||
\(315\) | −19.2081 | + | 21.3440i | −1.08226 | + | 1.20260i | ||||
\(316\) | 16.9819 | + | 14.2495i | 0.955306 | + | 0.801597i | ||||
\(317\) | 0.646483 | − | 11.0997i | 0.0363101 | − | 0.623420i | −0.930242 | − | 0.366948i | \(-0.880403\pi\) |
0.966552 | − | 0.256472i | \(-0.0825602\pi\) | |||||||
\(318\) | −6.09429 | − | 3.42357i | −0.341751 | − | 0.191984i | ||||
\(319\) | 2.04021 | + | 4.72973i | 0.114230 | + | 0.264814i | ||||
\(320\) | −12.8436 | + | 8.44738i | −0.717980 | + | 0.472223i | ||||
\(321\) | −1.41221 | − | 0.404744i | −0.0788217 | − | 0.0225906i | ||||
\(322\) | −2.71001 | − | 9.05207i | −0.151023 | − | 0.504452i | ||||
\(323\) | −3.51148 | −0.195384 | ||||||||
\(324\) | 0.190689 | − | 17.1590i | 0.0105938 | − | 0.953279i | ||||
\(325\) | 7.04117 | 0.390574 | ||||||||
\(326\) | −0.171114 | − | 0.571560i | −0.00947711 | − | 0.0316558i | ||||
\(327\) | 6.03893 | − | 5.83325i | 0.333953 | − | 0.322579i | ||||
\(328\) | −6.29736 | + | 4.14184i | −0.347714 | + | 0.228695i | ||||
\(329\) | 13.3071 | + | 30.8494i | 0.733645 | + | 1.70078i | ||||
\(330\) | −0.0410516 | − | 3.48876i | −0.00225982 | − | 0.192050i | ||||
\(331\) | 1.23279 | − | 21.1661i | 0.0677601 | − | 1.16340i | −0.777444 | − | 0.628952i | \(-0.783484\pi\) |
0.845204 | − | 0.534444i | \(-0.179479\pi\) | |||||||
\(332\) | −24.9136 | − | 20.9050i | −1.36731 | − | 1.14731i | ||||
\(333\) | −15.7559 | + | 2.21855i | −0.863417 | + | 0.121576i | ||||
\(334\) | 1.79297 | − | 1.50448i | 0.0981071 | − | 0.0823216i | ||||
\(335\) | −9.37610 | − | 12.5943i | −0.512271 | − | 0.688099i | ||||
\(336\) | −4.76537 | + | 21.2161i | −0.259972 | + | 1.15743i | ||||
\(337\) | 9.04532 | + | 9.58748i | 0.492730 | + | 0.522263i | 0.925248 | − | 0.379362i | \(-0.123856\pi\) |
−0.432518 | + | 0.901625i | \(0.642375\pi\) | |||||||
\(338\) | −0.160448 | + | 0.0380268i | −0.00872720 | + | 0.00206838i | ||||
\(339\) | −2.02510 | − | 15.7195i | −0.109988 | − | 0.853765i | ||||
\(340\) | −3.88651 | + | 9.00994i | −0.210776 | + | 0.488633i | ||||
\(341\) | −0.569573 | − | 3.23021i | −0.0308441 | − | 0.174926i | ||||
\(342\) | −1.35208 | + | 0.935582i | −0.0731120 | + | 0.0505905i | ||||
\(343\) | −0.473286 | + | 2.68414i | −0.0255550 | + | 0.144930i | ||||
\(344\) | −10.0648 | − | 6.61971i | −0.542657 | − | 0.356911i | ||||
\(345\) | 25.2208 | + | 29.3486i | 1.35784 | + | 1.58008i | ||||
\(346\) | 1.10510 | − | 1.48441i | 0.0594107 | − | 0.0798024i | ||||
\(347\) | 0.670324 | + | 11.5090i | 0.0359849 | + | 0.617836i | 0.967302 | + | 0.253627i | \(0.0816237\pi\) |
−0.931317 | + | 0.364209i | \(0.881339\pi\) | |||||||
\(348\) | −3.79385 | − | 5.62303i | −0.203372 | − | 0.301426i | ||||
\(349\) | −5.45928 | + | 5.78650i | −0.292229 | + | 0.309744i | −0.856809 | − | 0.515634i | \(-0.827557\pi\) |
0.564580 | + | 0.825378i | \(0.309038\pi\) | |||||||
\(350\) | 1.06398 | − | 1.84287i | 0.0568722 | − | 0.0985056i | ||||
\(351\) | −1.54810 | + | 19.0572i | −0.0826316 | + | 1.01720i | ||||
\(352\) | −4.31401 | − | 7.47208i | −0.229937 | − | 0.398263i | ||||
\(353\) | −2.60195 | − | 0.616672i | −0.138488 | − | 0.0328222i | 0.160787 | − | 0.986989i | \(-0.448597\pi\) |
−0.299275 | + | 0.954167i | \(0.596745\pi\) | |||||||
\(354\) | 0.0516462 | − | 0.491999i | 0.00274496 | − | 0.0261495i | ||||
\(355\) | −15.2664 | − | 7.66709i | −0.810258 | − | 0.406927i | ||||
\(356\) | −9.01736 | − | 1.05398i | −0.477919 | − | 0.0558608i | ||||
\(357\) | 4.35691 | + | 11.5460i | 0.230592 | + | 0.611078i | ||||
\(358\) | −0.754449 | + | 0.378898i | −0.0398738 | + | 0.0200254i | ||||
\(359\) | 18.3022 | − | 6.66145i | 0.965952 | − | 0.351578i | 0.189589 | − | 0.981864i | \(-0.439285\pi\) |
0.776363 | + | 0.630286i | \(0.217062\pi\) | |||||||
\(360\) | 1.85243 | + | 9.22997i | 0.0976314 | + | 0.486462i | ||||
\(361\) | 14.8296 | + | 5.39752i | 0.780504 | + | 0.284080i | ||||
\(362\) | 2.67520 | − | 0.312686i | 0.140605 | − | 0.0164344i | ||||
\(363\) | 8.15072 | + | 0.378558i | 0.427802 | + | 0.0198691i | ||||
\(364\) | 7.32479 | − | 24.4665i | 0.383923 | − | 1.28239i | ||||
\(365\) | −4.97012 | + | 16.6014i | −0.260148 | + | 0.868955i | ||||
\(366\) | −1.04369 | − | 0.0484741i | −0.0545547 | − | 0.00253378i | ||||
\(367\) | 10.4769 | − | 1.22458i | 0.546892 | − | 0.0639225i | 0.161839 | − | 0.986817i | \(-0.448257\pi\) |
0.385053 | + | 0.922895i | \(0.374183\pi\) | |||||||
\(368\) | 27.5367 | + | 10.0225i | 1.43545 | + | 0.522461i | ||||
\(369\) | −3.72822 | − | 18.5764i | −0.194084 | − | 0.967048i | ||||
\(370\) | 4.00329 | − | 1.45708i | 0.208121 | − | 0.0757499i | ||||
\(371\) | −42.9747 | + | 21.5827i | −2.23114 | + | 1.12052i | ||||
\(372\) | 1.52497 | + | 4.04123i | 0.0790661 | + | 0.209528i | ||||
\(373\) | 18.7088 | + | 2.18675i | 0.968705 | + | 0.113225i | 0.585706 | − | 0.810523i | \(-0.300817\pi\) |
0.382999 | + | 0.923749i | \(0.374891\pi\) | |||||||
\(374\) | −1.33998 | − | 0.672965i | −0.0692889 | − | 0.0347982i | ||||
\(375\) | 1.46745 | − | 13.9795i | 0.0757790 | − | 0.721897i | ||||
\(376\) | 10.7179 | + | 2.54019i | 0.552733 | + | 0.131000i | ||||
\(377\) | 3.77896 | + | 6.54536i | 0.194626 | + | 0.337103i | ||||
\(378\) | 4.75387 | + | 3.28489i | 0.244513 | + | 0.168957i | ||||
\(379\) | 4.33052 | − | 7.50069i | 0.222444 | − | 0.385285i | −0.733105 | − | 0.680115i | \(-0.761930\pi\) |
0.955550 | + | 0.294830i | \(0.0952632\pi\) | |||||||
\(380\) | −6.17226 | + | 6.54222i | −0.316630 | + | 0.335609i | ||||
\(381\) | −0.744194 | − | 1.10300i | −0.0381262 | − | 0.0565085i | ||||
\(382\) | 0.0329037 | + | 0.564935i | 0.00168350 | + | 0.0289046i | ||||
\(383\) | −18.0681 | + | 24.2697i | −0.923238 | + | 1.24012i | 0.0472278 | + | 0.998884i | \(0.484961\pi\) |
−0.970466 | + | 0.241239i | \(0.922446\pi\) | |||||||
\(384\) | 9.78392 | + | 11.3852i | 0.499284 | + | 0.581001i | ||||
\(385\) | −20.0546 | − | 13.1901i | −1.02208 | − | 0.672230i | ||||
\(386\) | −0.0183406 | + | 0.104015i | −0.000933511 | + | 0.00529420i | ||||
\(387\) | 24.9015 | − | 17.2308i | 1.26582 | − | 0.875893i | ||||
\(388\) | −3.00757 | − | 17.0568i | −0.152686 | − | 0.865928i | ||||
\(389\) | 6.44975 | − | 14.9522i | 0.327015 | − | 0.758107i | −0.672817 | − | 0.739809i | \(-0.734916\pi\) |
0.999833 | − | 0.0182980i | \(-0.00582476\pi\) | |||||||
\(390\) | −0.654103 | − | 5.07737i | −0.0331218 | − | 0.257102i | ||||
\(391\) | 16.1825 | − | 3.83531i | 0.818382 | − | 0.193960i | ||||
\(392\) | −5.11975 | − | 5.42662i | −0.258587 | − | 0.274086i | ||||
\(393\) | −3.07457 | + | 13.6884i | −0.155091 | + | 0.690488i | ||||
\(394\) | 4.12160 | + | 5.53628i | 0.207643 | + | 0.278914i | ||||
\(395\) | 23.4185 | − | 19.6505i | 1.17831 | − | 0.988723i | ||||
\(396\) | 14.2046 | − | 2.00012i | 0.713809 | − | 0.100510i | ||||
\(397\) | 22.8963 | + | 19.2123i | 1.14913 | + | 0.964236i | 0.999699 | − | 0.0245358i | \(-0.00781077\pi\) |
0.149433 | + | 0.988772i | \(0.452255\pi\) | |||||||
\(398\) | 0.261911 | − | 4.49684i | 0.0131284 | − | 0.225406i | ||||
\(399\) | 0.133094 | + | 11.3110i | 0.00666303 | + | 0.566256i | ||||
\(400\) | 2.61388 | + | 6.05966i | 0.130694 | + | 0.302983i | ||||
\(401\) | 26.1226 | − | 17.1811i | 1.30450 | − | 0.857983i | 0.308846 | − | 0.951112i | \(-0.400057\pi\) |
0.995654 | + | 0.0931291i | \(0.0296869\pi\) | |||||||
\(402\) | −2.27257 | + | 2.19517i | −0.113346 | + | 0.109485i | ||||
\(403\) | −1.38030 | − | 4.61053i | −0.0687577 | − | 0.229667i | ||||
\(404\) | −0.282216 | −0.0140408 | ||||||||
\(405\) | −23.2576 | − | 4.36797i | −1.15568 | − | 0.217046i | ||||
\(406\) | 2.28414 | 0.113360 | ||||||||
\(407\) | −3.81473 | − | 12.7421i | −0.189089 | − | 0.631601i | ||||
\(408\) | 3.88930 | + | 1.11469i | 0.192549 | + | 0.0551854i | ||||
\(409\) | 22.0215 | − | 14.4838i | 1.08889 | − | 0.716177i | 0.127634 | − | 0.991821i | \(-0.459262\pi\) |
0.961260 | + | 0.275645i | \(0.0888913\pi\) | |||||||
\(410\) | 2.00930 | + | 4.65808i | 0.0992322 | + | 0.230046i | ||||
\(411\) | −13.9363 | − | 7.82897i | −0.687428 | − | 0.386175i | ||||
\(412\) | −1.51265 | + | 25.9713i | −0.0745231 | + | 1.27951i | ||||
\(413\) | −2.60717 | − | 2.18768i | −0.128291 | − | 0.107649i | ||||
\(414\) | 5.20912 | − | 5.78836i | 0.256014 | − | 0.284482i | ||||
\(415\) | −34.3566 | + | 28.8286i | −1.68650 | + | 1.41514i | ||||
\(416\) | −7.55982 | − | 10.1546i | −0.370651 | − | 0.497870i | ||||
\(417\) | −16.5308 | + | 5.16170i | −0.809518 | + | 0.252770i | ||||
\(418\) | −0.943208 | − | 0.999742i | −0.0461338 | − | 0.0488990i | ||||
\(419\) | 15.2679 | − | 3.61856i | 0.745886 | − | 0.176778i | 0.159938 | − | 0.987127i | \(-0.448870\pi\) |
0.585948 | + | 0.810349i | \(0.300722\pi\) | |||||||
\(420\) | 29.1696 | + | 12.1775i | 1.42333 | + | 0.594201i | ||||
\(421\) | −9.02857 | + | 20.9306i | −0.440025 | + | 1.02009i | 0.543514 | + | 0.839400i | \(0.317093\pi\) |
−0.983539 | + | 0.180693i | \(0.942166\pi\) | |||||||
\(422\) | 0.688860 | + | 3.90672i | 0.0335332 | + | 0.190176i | ||||
\(423\) | −16.0070 | + | 22.5922i | −0.778289 | + | 1.09847i | ||||
\(424\) | −2.73779 | + | 15.5268i | −0.132959 | + | 0.754046i | ||||
\(425\) | 3.12917 | + | 2.05809i | 0.151787 | + | 0.0998319i | ||||
\(426\) | −1.13772 | + | 3.24412i | −0.0551226 | + | 0.157178i | ||||
\(427\) | −4.29242 | + | 5.76572i | −0.207725 | + | 0.279023i | ||||
\(428\) | 0.0940303 | + | 1.61444i | 0.00454513 | + | 0.0780368i | ||||
\(429\) | −15.9440 | + | 1.11701i | −0.769784 | + | 0.0539297i | ||||
\(430\) | −5.56397 | + | 5.89746i | −0.268318 | + | 0.284401i | ||||
\(431\) | 17.0699 | − | 29.5659i | 0.822227 | − | 1.42414i | −0.0817934 | − | 0.996649i | \(-0.526065\pi\) |
0.904020 | − | 0.427490i | \(-0.140602\pi\) | |||||||
\(432\) | −16.9754 | + | 5.74227i | −0.816729 | + | 0.276275i | ||||
\(433\) | −11.6224 | − | 20.1306i | −0.558539 | − | 0.967417i | −0.997619 | − | 0.0689692i | \(-0.978029\pi\) |
0.439080 | − | 0.898448i | \(-0.355304\pi\) | |||||||
\(434\) | −1.41528 | − | 0.335428i | −0.0679356 | − | 0.0161010i | ||||
\(435\) | −8.54502 | + | 3.80583i | −0.409702 | + | 0.182475i | ||||
\(436\) | −8.25954 | − | 4.14810i | −0.395560 | − | 0.198658i | ||||
\(437\) | 15.1410 | + | 1.76973i | 0.724294 | + | 0.0846578i | ||||
\(438\) | 3.44121 | + | 0.565113i | 0.164427 | + | 0.0270022i | ||||
\(439\) | 6.16848 | − | 3.09793i | 0.294406 | − | 0.147856i | −0.295466 | − | 0.955353i | \(-0.595475\pi\) |
0.589871 | + | 0.807497i | \(0.299178\pi\) | |||||||
\(440\) | −7.39493 | + | 2.69154i | −0.352540 | + | 0.128314i | ||||
\(441\) | 17.4670 | − | 6.82708i | 0.831763 | − | 0.325099i | ||||
\(442\) | −2.06746 | − | 0.752494i | −0.0983391 | − | 0.0357925i | ||||
\(443\) | −16.0121 | + | 1.87155i | −0.760760 | + | 0.0889201i | −0.487622 | − | 0.873055i | \(-0.662136\pi\) |
−0.273138 | + | 0.961975i | \(0.588062\pi\) | |||||||
\(444\) | 8.04456 | + | 15.5588i | 0.381778 | + | 0.738390i | ||||
\(445\) | −3.59074 | + | 11.9939i | −0.170217 | + | 0.568565i | ||||
\(446\) | −1.30030 | + | 4.34329i | −0.0615708 | + | 0.205661i | ||||
\(447\) | −1.53644 | + | 2.39700i | −0.0726710 | + | 0.113374i | ||||
\(448\) | 21.1387 | − | 2.47076i | 0.998711 | − | 0.116733i | ||||
\(449\) | 20.7990 | + | 7.57021i | 0.981565 | + | 0.357261i | 0.782449 | − | 0.622715i | \(-0.213971\pi\) |
0.199117 | + | 0.979976i | \(0.436193\pi\) | |||||||
\(450\) | 1.75322 | − | 0.0412653i | 0.0826476 | − | 0.00194527i | ||||
\(451\) | 14.8832 | − | 5.41703i | 0.700821 | − | 0.255078i | ||||
\(452\) | −15.5915 | + | 7.83034i | −0.733362 | + | 0.368308i | ||||
\(453\) | 16.3737 | − | 19.9863i | 0.769302 | − | 0.939039i | ||||
\(454\) | −1.69991 | − | 0.198691i | −0.0797808 | − | 0.00932504i | ||||
\(455\) | −31.4734 | − | 15.8065i | −1.47550 | − | 0.741022i | ||||
\(456\) | 3.00056 | + | 2.17944i | 0.140514 | + | 0.102062i | ||||
\(457\) | −25.2639 | − | 5.98766i | −1.18180 | − | 0.280091i | −0.407674 | − | 0.913127i | \(-0.633660\pi\) |
−0.774122 | + | 0.633037i | \(0.781808\pi\) | |||||||
\(458\) | −3.04269 | − | 5.27010i | −0.142176 | − | 0.246255i | ||||
\(459\) | −6.25829 | + | 8.01672i | −0.292112 | + | 0.374188i | ||||
\(460\) | 21.2990 | − | 36.8910i | 0.993072 | − | 1.72005i | ||||
\(461\) | 1.56492 | − | 1.65872i | 0.0728855 | − | 0.0772541i | −0.689905 | − | 0.723900i | \(-0.742348\pi\) |
0.762790 | + | 0.646646i | \(0.223829\pi\) | |||||||
\(462\) | −2.11693 | + | 4.34178i | −0.0984883 | + | 0.201998i | ||||
\(463\) | −0.321353 | − | 5.51742i | −0.0149346 | − | 0.256416i | −0.997509 | − | 0.0705449i | \(-0.977526\pi\) |
0.982574 | − | 0.185872i | \(-0.0595108\pi\) | |||||||
\(464\) | −4.23010 | + | 5.68201i | −0.196377 | + | 0.263781i | ||||
\(465\) | 5.85349 | − | 1.10329i | 0.271449 | − | 0.0511641i | ||||
\(466\) | −1.49430 | − | 0.982815i | −0.0692220 | − | 0.0455280i | ||||
\(467\) | −4.62726 | + | 26.2425i | −0.214124 | + | 1.21436i | 0.668296 | + | 0.743896i | \(0.267024\pi\) |
−0.882420 | + | 0.470463i | \(0.844087\pi\) | |||||||
\(468\) | 20.3604 | − | 5.33449i | 0.941161 | − | 0.246587i | ||||
\(469\) | 3.77469 | + | 21.4073i | 0.174299 | + | 0.988498i | ||||
\(470\) | 2.93631 | − | 6.80713i | 0.135442 | − | 0.313990i | ||||
\(471\) | 0.373482 | − | 0.284938i | 0.0172091 | − | 0.0131292i | ||||
\(472\) | −1.08573 | + | 0.257324i | −0.0499750 | + | 0.0118443i | ||||
\(473\) | 17.3713 | + | 18.4125i | 0.798733 | + | 0.846608i | ||||
\(474\) | −4.52412 | − | 4.16878i | −0.207800 | − | 0.191478i | ||||
\(475\) | 2.05007 | + | 2.75372i | 0.0940637 | + | 0.126349i | ||||
\(476\) | 10.4066 | − | 8.73219i | 0.476986 | − | 0.400239i | ||||
\(477\) | −33.6154 | − | 20.9930i | −1.53914 | − | 0.961204i | ||||
\(478\) | −3.49054 | − | 2.92891i | −0.159654 | − | 0.133965i | ||||
\(479\) | −1.12496 | + | 19.3149i | −0.0514009 | + | 0.882520i | 0.869793 | + | 0.493416i | \(0.164252\pi\) |
−0.921194 | + | 0.389103i | \(0.872785\pi\) | |||||||
\(480\) | 13.4762 | − | 7.99336i | 0.615102 | − | 0.364845i | ||||
\(481\) | −7.72988 | − | 17.9199i | −0.352452 | − | 0.817076i | ||||
\(482\) | −0.0574131 | + | 0.0377612i | −0.00261509 | + | 0.00171997i | ||||
\(483\) | −12.9674 | − | 51.9806i | −0.590039 | − | 2.36520i | ||||
\(484\) | −2.57611 | − | 8.60481i | −0.117096 | − | 0.391128i | ||||
\(485\) | −23.8847 | −1.08455 | ||||||||
\(486\) | −0.273784 | + | 4.75423i | −0.0124191 | + | 0.215656i | ||||
\(487\) | −23.9390 | −1.08478 | −0.542390 | − | 0.840127i | \(-0.682480\pi\) | ||||
−0.542390 | + | 0.840127i | \(0.682480\pi\) | |||||||
\(488\) | 0.675883 | + | 2.25761i | 0.0305958 | + | 0.102197i | ||||
\(489\) | −0.818782 | − | 3.28213i | −0.0370266 | − | 0.148423i | ||||
\(490\) | −4.19522 | + | 2.75924i | −0.189521 | + | 0.124650i | ||||
\(491\) | −10.8242 | − | 25.0934i | −0.488491 | − | 1.13245i | −0.967094 | − | 0.254419i | \(-0.918116\pi\) |
0.478603 | − | 0.878032i | \(-0.341143\pi\) | |||||||
\(492\) | −17.9388 | + | 10.6403i | −0.808742 | + | 0.479703i | ||||
\(493\) | −0.233753 | + | 4.01339i | −0.0105277 | + | 0.180754i | ||||
\(494\) | −1.54488 | − | 1.29631i | −0.0695076 | − | 0.0583238i | ||||
\(495\) | 0.685206 | − | 19.7699i | 0.0307977 | − | 0.888593i | ||||
\(496\) | 3.45543 | − | 2.89945i | 0.155153 | − | 0.130189i | ||||
\(497\) | 14.1236 | + | 18.9713i | 0.633532 | + | 0.850981i | ||||
\(498\) | 6.63719 | + | 6.11587i | 0.297420 | + | 0.274059i | ||||
\(499\) | 6.54778 | + | 6.94024i | 0.293119 | + | 0.310688i | 0.857151 | − | 0.515065i | \(-0.172232\pi\) |
−0.564032 | + | 0.825753i | \(0.690751\pi\) | |||||||
\(500\) | −15.0564 | + | 3.56842i | −0.673341 | + | 0.159585i | ||||
\(501\) | 10.5505 | − | 8.04923i | 0.471362 | − | 0.359613i | ||||
\(502\) | −0.0140253 | + | 0.0325142i | −0.000625978 | + | 0.00145118i | ||||
\(503\) | 6.80145 | + | 38.5730i | 0.303262 | + | 1.71988i | 0.631575 | + | 0.775314i | \(0.282409\pi\) |
−0.328314 | + | 0.944569i | \(0.606480\pi\) | |||||||
\(504\) | 3.44316 | − | 12.5702i | 0.153370 | − | 0.559923i | ||||
\(505\) | −0.0675811 | + | 0.383272i | −0.00300732 | + | 0.0170554i | ||||
\(506\) | 5.43867 | + | 3.57707i | 0.241778 | + | 0.159020i | ||||
\(507\) | −0.918722 | + | 0.173165i | −0.0408019 | + | 0.00769054i | ||||
\(508\) | −0.874674 | + | 1.17489i | −0.0388074 | + | 0.0521274i | ||||
\(509\) | −0.0618716 | − | 1.06229i | −0.00274241 | − | 0.0470853i | 0.996659 | − | 0.0816713i | \(-0.0260258\pi\) |
−0.999402 | + | 0.0345860i | \(0.988989\pi\) | |||||||
\(510\) | 1.19339 | − | 2.44763i | 0.0528442 | − | 0.108383i | ||||
\(511\) | 16.4641 | − | 17.4509i | 0.728329 | − | 0.771984i | ||||
\(512\) | 10.0486 | − | 17.4047i | 0.444089 | − | 0.769185i | ||||
\(513\) | −7.90380 | + | 4.94315i | −0.348961 | + | 0.218245i | ||||
\(514\) | 1.36632 | + | 2.36653i | 0.0602656 | + | 0.104383i | ||||
\(515\) | 34.9088 | + | 8.27354i | 1.53827 | + | 0.364576i | ||||
\(516\) | −26.9710 | − | 19.5902i | −1.18733 | − | 0.862410i | ||||
\(517\) | −20.6836 | − | 10.3877i | −0.909664 | − | 0.456850i | ||||
\(518\) | −5.85819 | − | 0.684724i | −0.257394 | − | 0.0300850i | ||||
\(519\) | 6.64939 | − | 8.11649i | 0.291876 | − | 0.356274i | ||||
\(520\) | −10.3186 | + | 5.18217i | −0.452498 | + | 0.227253i | ||||
\(521\) | −42.0204 | + | 15.2942i | −1.84095 | + | 0.670050i | −0.851654 | + | 0.524104i | \(0.824400\pi\) |
−0.989293 | + | 0.145946i | \(0.953377\pi\) | |||||||
\(522\) | 0.979305 | + | 1.60762i | 0.0428630 | + | 0.0703635i | ||||
\(523\) | −27.5645 | − | 10.0326i | −1.20531 | − | 0.438697i | −0.340236 | − | 0.940340i | \(-0.610507\pi\) |
−0.865075 | + | 0.501643i | \(0.832729\pi\) | |||||||
\(524\) | 15.3395 | − | 1.79293i | 0.670108 | − | 0.0783244i | ||||
\(525\) | 6.51078 | − | 10.1575i | 0.284154 | − | 0.443310i | ||||
\(526\) | −1.38401 | + | 4.62293i | −0.0603458 | + | 0.201569i | ||||
\(527\) | 0.734207 | − | 2.45242i | 0.0319825 | − | 0.106829i | ||||
\(528\) | −6.88016 | − | 13.3068i | −0.299421 | − | 0.579104i | ||||
\(529\) | −48.8652 | + | 5.71152i | −2.12457 | + | 0.248327i | ||||
\(530\) | 9.97144 | + | 3.62931i | 0.433132 | + | 0.157647i | ||||
\(531\) | 0.421925 | − | 2.77293i | 0.0183100 | − | 0.120335i | ||||
\(532\) | 11.7012 | − | 4.25890i | 0.507313 | − | 0.184647i | ||||
\(533\) | 20.7673 | − | 10.4297i | 0.899531 | − | 0.451761i | ||||
\(534\) | 2.48615 | + | 0.408274i | 0.107586 | + | 0.0176678i | ||||
\(535\) | 2.21505 | + | 0.258902i | 0.0957650 | + | 0.0111933i | ||||
\(536\) | 6.36861 | + | 3.19844i | 0.275082 | + | 0.138151i | ||||
\(537\) | −4.37260 | + | 1.94749i | −0.188692 | + | 0.0840405i | ||||
\(538\) | 7.20684 | + | 1.70805i | 0.310709 | + | 0.0736394i | ||||
\(539\) | 7.83850 | + | 13.5767i | 0.337628 | + | 0.584789i | ||||
\(540\) | 3.93548 | + | 25.7511i | 0.169356 | + | 1.10815i | ||||
\(541\) | −14.0760 | + | 24.3804i | −0.605176 | + | 1.04820i | 0.386848 | + | 0.922144i | \(0.373564\pi\) |
−0.992024 | + | 0.126052i | \(0.959769\pi\) | |||||||
\(542\) | −3.01898 | + | 3.19993i | −0.129676 | + | 0.137449i | ||||
\(543\) | 15.2336 | − | 1.06724i | 0.653738 | − | 0.0457997i | ||||
\(544\) | −0.391541 | − | 6.72250i | −0.0167872 | − | 0.288225i | ||||
\(545\) | −7.61132 | + | 10.2238i | −0.326033 | + | 0.437938i | ||||
\(546\) | −2.34553 | + | 6.68810i | −0.100379 | + | 0.286224i | ||||
\(547\) | −4.24644 | − | 2.79293i | −0.181565 | − | 0.119417i | 0.455473 | − | 0.890250i | \(-0.349470\pi\) |
−0.637038 | + | 0.770833i | \(0.719841\pi\) | |||||||
\(548\) | −3.05558 | + | 17.3291i | −0.130528 | + | 0.740261i | ||||
\(549\) | −5.89837 | − | 0.549080i | −0.251736 | − | 0.0234342i | ||||
\(550\) | 0.254566 | + | 1.44371i | 0.0108547 | + | 0.0615602i | ||||
\(551\) | −1.45955 | + | 3.38362i | −0.0621790 | + | 0.144147i | ||||
\(552\) | −16.2084 | − | 6.76655i | −0.689875 | − | 0.288004i | ||||
\(553\) | −41.1829 | + | 9.76053i | −1.75128 | + | 0.415060i | ||||
\(554\) | −5.82792 | − | 6.17724i | −0.247605 | − | 0.262446i | ||||
\(555\) | 23.0565 | − | 7.19934i | 0.978695 | − | 0.305595i | ||||
\(556\) | 11.3842 | + | 15.2916i | 0.482797 | + | 0.648509i | ||||
\(557\) | −15.3731 | + | 12.8995i | −0.651378 | + | 0.546571i | −0.907489 | − | 0.420076i | \(-0.862003\pi\) |
0.256111 | + | 0.966647i | \(0.417559\pi\) | |||||||
\(558\) | −0.370709 | − | 1.13991i | −0.0156934 | − | 0.0482563i | ||||
\(559\) | 28.4525 | + | 23.8745i | 1.20341 | + | 1.00978i | ||||
\(560\) | 1.91935 | − | 32.9540i | 0.0811073 | − | 1.39256i | ||||
\(561\) | −7.41218 | − | 4.16392i | −0.312942 | − | 0.175801i | ||||
\(562\) | −1.23310 | − | 2.85864i | −0.0520150 | − | 0.120584i | ||||
\(563\) | 28.7647 | − | 18.9188i | 1.21229 | − | 0.797333i | 0.227957 | − | 0.973671i | \(-0.426795\pi\) |
0.984330 | + | 0.176338i | \(0.0564251\pi\) | |||||||
\(564\) | 29.3000 | + | 8.39750i | 1.23375 | + | 0.353599i | ||||
\(565\) | 6.90059 | + | 23.0496i | 0.290310 | + | 0.969703i | ||||
\(566\) | −8.83320 | −0.371287 | ||||||||
\(567\) | 26.0602 | + | 19.8550i | 1.09442 | + | 0.833830i | ||||
\(568\) | 7.75410 | 0.325355 | ||||||||
\(569\) | 3.91371 | + | 13.0727i | 0.164071 | + | 0.548036i | 1.00000 | 0.000802420i | \(-0.000255418\pi\) | |
−0.835928 | + | 0.548838i | \(0.815070\pi\) | |||||||
\(570\) | 1.79526 | − | 1.73411i | 0.0751950 | − | 0.0726340i | ||||
\(571\) | −18.3188 | + | 12.0485i | −0.766617 | + | 0.504212i | −0.871574 | − | 0.490265i | \(-0.836900\pi\) |
0.104956 | + | 0.994477i | \(0.466530\pi\) | |||||||
\(572\) | 6.96883 | + | 16.1556i | 0.291381 | + | 0.675498i | ||||
\(573\) | 0.0377509 | + | 3.20825i | 0.00157707 | + | 0.134027i | ||||
\(574\) | 0.408367 | − | 7.01140i | 0.0170449 | − | 0.292650i | ||||
\(575\) | −12.4553 | − | 10.4513i | −0.519423 | − | 0.435848i | ||||
\(576\) | 10.8020 | + | 13.8185i | 0.450084 | + | 0.575771i | ||||
\(577\) | −4.05986 | + | 3.40663i | −0.169014 | + | 0.141820i | −0.723371 | − | 0.690459i | \(-0.757409\pi\) |
0.554357 | + | 0.832279i | \(0.312964\pi\) | |||||||
\(578\) | 2.40238 | + | 3.22696i | 0.0999260 | + | 0.134224i | ||||
\(579\) | −0.131235 | + | 0.584278i | −0.00545395 | + | 0.0242818i | ||||
\(580\) | 7.06645 | + | 7.49000i | 0.293419 | + | 0.311005i | ||||
\(581\) | 60.4181 | − | 14.3193i | 2.50656 | − | 0.594067i | ||||
\(582\) | 0.614129 | + | 4.76707i | 0.0254564 | + | 0.197601i | ||||
\(583\) | 13.1221 | − | 30.4204i | 0.543461 | − | 1.25988i | ||||
\(584\) | −1.36586 | − | 7.74618i | −0.0565197 | − | 0.320539i | ||||
\(585\) | −2.36903 | − | 28.9285i | −0.0979472 | − | 1.19605i | ||||
\(586\) | 1.57255 | − | 8.91836i | 0.0649614 | − | 0.368414i | ||||
\(587\) | 3.69992 | + | 2.43348i | 0.152712 | + | 0.100440i | 0.623565 | − | 0.781771i | \(-0.285683\pi\) |
−0.470853 | + | 0.882212i | \(0.656054\pi\) | |||||||
\(588\) | −13.4552 | − | 15.6574i | −0.554884 | − | 0.645702i | ||||
\(589\) | 1.40124 | − | 1.88220i | 0.0577373 | − | 0.0775546i | ||||
\(590\) | 0.0436662 | + | 0.749719i | 0.00179771 | + | 0.0308654i | ||||
\(591\) | 21.8870 | + | 32.4397i | 0.900312 | + | 1.33439i | ||||
\(592\) | 12.5524 | − | 13.3047i | 0.515899 | − | 0.546821i | ||||
\(593\) | 1.66347 | − | 2.88121i | 0.0683104 | − | 0.118317i | −0.829847 | − | 0.557991i | \(-0.811572\pi\) |
0.898158 | + | 0.439673i | \(0.144906\pi\) | |||||||
\(594\) | −3.96344 | + | 0.371571i | −0.162622 | + | 0.0152458i | ||||
\(595\) | −9.36697 | − | 16.2241i | −0.384008 | − | 0.665122i | ||||
\(596\) | 3.04972 | + | 0.722796i | 0.124921 | + | 0.0296069i | ||||
\(597\) | 2.66625 | − | 25.3996i | 0.109122 | − | 1.03954i | ||||
\(598\) | 8.53538 | + | 4.28663i | 0.349038 | + | 0.175293i | ||||
\(599\) | 10.5840 | + | 1.23709i | 0.432449 | + | 0.0505461i | 0.329533 | − | 0.944144i | \(-0.393109\pi\) |
0.102916 | + | 0.994690i | \(0.467183\pi\) | |||||||
\(600\) | −1.39651 | − | 3.70080i | −0.0570122 | − | 0.151084i | ||||
\(601\) | 5.07251 | − | 2.54751i | 0.206912 | − | 0.103915i | −0.342325 | − | 0.939581i | \(-0.611215\pi\) |
0.549237 | + | 0.835666i | \(0.314918\pi\) | |||||||
\(602\) | 10.5480 | − | 3.83917i | 0.429906 | − | 0.156473i | ||||
\(603\) | −13.4485 | + | 11.8349i | −0.547665 | + | 0.481955i | ||||
\(604\) | −26.7266 | − | 9.72770i | −1.08749 | − | 0.395814i | ||||
\(605\) | −12.3029 | + | 1.43800i | −0.500184 | + | 0.0584631i | ||||
\(606\) | 0.0782337 | + | 0.00363354i | 0.00317803 | + | 0.000147603i | ||||
\(607\) | 0.881909 | − | 2.94578i | 0.0357956 | − | 0.119566i | −0.938225 | − | 0.346027i | \(-0.887531\pi\) |
0.974020 | + | 0.226461i | \(0.0727157\pi\) | |||||||
\(608\) | 1.77027 | − | 5.91312i | 0.0717940 | − | 0.239809i | ||||
\(609\) | 12.9366 | + | 0.600835i | 0.524216 | + | 0.0243470i | ||||
\(610\) | 1.57538 | − | 0.184135i | 0.0637851 | − | 0.00745541i | ||||
\(611\) | −31.9127 | − | 11.6153i | −1.29105 | − | 0.469904i | ||||
\(612\) | 10.6076 | + | 3.58052i | 0.428788 | + | 0.144734i | ||||
\(613\) | −14.0676 | + | 5.12017i | −0.568184 | + | 0.206802i | −0.610107 | − | 0.792319i | \(-0.708874\pi\) |
0.0419236 | + | 0.999121i | \(0.486651\pi\) | |||||||
\(614\) | −2.82607 | + | 1.41930i | −0.114051 | + | 0.0572784i | ||||
\(615\) | 10.1547 | + | 26.9103i | 0.409476 | + | 1.08513i | ||||
\(616\) | 10.8213 | + | 1.26483i | 0.436003 | + | 0.0509615i | ||||
\(617\) | −19.2344 | − | 9.65986i | −0.774346 | − | 0.388891i | 0.0173164 | − | 0.999850i | \(-0.494488\pi\) |
−0.791662 | + | 0.610959i | \(0.790784\pi\) | |||||||
\(618\) | 0.753707 | − | 7.18007i | 0.0303185 | − | 0.288825i | ||||
\(619\) | 41.0179 | + | 9.72141i | 1.64865 | + | 0.390737i | 0.946859 | − | 0.321649i | \(-0.104237\pi\) |
0.701788 | + | 0.712386i | \(0.252385\pi\) | |||||||
\(620\) | −3.27855 | − | 5.67862i | −0.131670 | − | 0.228059i | ||||
\(621\) | 31.0252 | − | 31.4130i | 1.24500 | − | 1.26056i | ||||
\(622\) | 1.22834 | − | 2.12754i | 0.0492518 | − | 0.0853066i | ||||
\(623\) | 11.8947 | − | 12.6077i | 0.476553 | − | 0.505116i | ||||
\(624\) | −12.2935 | − | 18.2207i | −0.492134 | − | 0.729413i | ||||
\(625\) | 1.79703 | + | 30.8538i | 0.0718811 | + | 1.23415i | ||||
\(626\) | −0.615924 | + | 0.827329i | −0.0246173 | + | 0.0330667i | ||||
\(627\) | −5.07902 | − | 5.91030i | −0.202837 | − | 0.236035i | ||||
\(628\) | −0.432052 | − | 0.284165i | −0.0172407 | − | 0.0113394i | ||||
\(629\) | 1.80262 | − | 10.2232i | 0.0718753 | − | 0.407625i | ||||
\(630\) | −7.92938 | − | 3.75131i | −0.315914 | − | 0.149456i | ||||
\(631\) | −0.662591 | − | 3.75774i | −0.0263773 | − | 0.149593i | 0.968775 | − | 0.247943i | \(-0.0797547\pi\) |
−0.995152 | + | 0.0983500i | \(0.968644\pi\) | |||||||
\(632\) | −5.49594 | + | 12.7410i | −0.218617 | + | 0.506810i | ||||
\(633\) | 2.87381 | + | 22.3075i | 0.114224 | + | 0.886644i | ||||
\(634\) | 3.30503 | − | 0.783306i | 0.131259 | − | 0.0311090i | ||||
\(635\) | 1.38614 | + | 1.46922i | 0.0550073 | + | 0.0583043i | ||||
\(636\) | −9.56107 | + | 42.5672i | −0.379121 | + | 1.68790i | ||||
\(637\) | 13.7361 | + | 18.4508i | 0.544244 | + | 0.731047i | ||||
\(638\) | −1.20543 | + | 1.01148i | −0.0477234 | + | 0.0400447i | ||||
\(639\) | −7.29699 | + | 18.0743i | −0.288664 | + | 0.715007i | ||||
\(640\) | −17.4571 | − | 14.6482i | −0.690051 | − | 0.579022i | ||||
\(641\) | −2.70931 | + | 46.5171i | −0.107011 | + | 1.83731i | 0.337248 | + | 0.941416i | \(0.390504\pi\) |
−0.444259 | + | 0.895898i | \(0.646533\pi\) | |||||||
\(642\) | −0.00528038 | − | 0.448752i | −0.000208400 | − | 0.0177108i | ||||
\(643\) | 2.81834 | + | 6.53366i | 0.111145 | + | 0.257662i | 0.964706 | − | 0.263331i | \(-0.0848210\pi\) |
−0.853561 | + | 0.520993i | \(0.825562\pi\) | |||||||
\(644\) | −49.2729 | + | 32.4073i | −1.94162 | + | 1.27703i | ||||
\(645\) | −33.0637 | + | 31.9376i | −1.30188 | + | 1.25754i | ||||
\(646\) | −0.307659 | − | 1.02765i | −0.0121047 | − | 0.0404325i | ||||
\(647\) | 25.9024 | 1.01833 | 0.509164 | − | 0.860670i | \(-0.329955\pi\) | ||||
0.509164 | + | 0.860670i | \(0.329955\pi\) | |||||||
\(648\) | 10.3234 | − | 2.96603i | 0.405541 | − | 0.116517i | ||||
\(649\) | 2.34467 | 0.0920363 | ||||||||
\(650\) | 0.616915 | + | 2.06064i | 0.0241974 | + | 0.0808249i | ||||
\(651\) | −7.92742 | − | 2.27203i | −0.310700 | − | 0.0890478i | ||||
\(652\) | −3.11115 | + | 2.04624i | −0.121842 | + | 0.0801369i | ||||
\(653\) | −10.1902 | − | 23.6235i | −0.398773 | − | 0.924459i | −0.992774 | − | 0.119995i | \(-0.961712\pi\) |
0.594002 | − | 0.804464i | \(-0.297547\pi\) | |||||||
\(654\) | 2.23624 | + | 1.25624i | 0.0874437 | + | 0.0491230i | ||||
\(655\) | 1.23834 | − | 21.2615i | 0.0483861 | − | 0.830757i | ||||
\(656\) | 16.6853 | + | 14.0006i | 0.651450 | + | 0.546631i | ||||
\(657\) | 19.3411 | + | 4.10580i | 0.754570 | + | 0.160183i | ||||
\(658\) | −7.86234 | + | 6.59728i | −0.306506 | + | 0.257189i | ||||
\(659\) | −15.7536 | − | 21.1608i | −0.613674 | − | 0.824307i | 0.381299 | − | 0.924452i | \(-0.375477\pi\) |
−0.994973 | + | 0.100145i | \(0.968069\pi\) | |||||||
\(660\) | −20.7865 | + | 6.49051i | −0.809112 | + | 0.252643i | ||||
\(661\) | 19.2438 | + | 20.3972i | 0.748498 | + | 0.793361i | 0.983935 | − | 0.178529i | \(-0.0571337\pi\) |
−0.235437 | + | 0.971890i | \(0.575652\pi\) | |||||||
\(662\) | 6.30240 | − | 1.49370i | 0.244950 | − | 0.0580541i | ||||
\(663\) | −11.5114 | − | 4.80570i | −0.447067 | − | 0.186638i | ||||
\(664\) | 8.06291 | − | 18.6919i | 0.312901 | − | 0.725387i | ||||
\(665\) | −2.98187 | − | 16.9110i | −0.115632 | − | 0.655782i | ||||
\(666\) | −2.02973 | − | 4.41667i | −0.0786504 | − | 0.171143i | ||||
\(667\) | 3.03061 | − | 17.1874i | 0.117346 | − | 0.665499i | ||||
\(668\) | −12.2051 | − | 8.02740i | −0.472228 | − | 0.310590i | ||||
\(669\) | −8.50691 | + | 24.2569i | −0.328896 | + | 0.937824i | ||||
\(670\) | 2.86430 | − | 3.84742i | 0.110658 | − | 0.148639i | ||||
\(671\) | −0.287932 | − | 4.94360i | −0.0111155 | − | 0.190845i | ||||
\(672\) | −21.6393 | + | 1.51601i | −0.834753 | + | 0.0584813i | ||||
\(673\) | 25.4683 | − | 26.9948i | 0.981731 | − | 1.04057i | −0.0174394 | − | 0.999848i | \(-0.505551\pi\) |
0.999170 | − | 0.0407261i | \(-0.0129671\pi\) | |||||||
\(674\) | −2.01332 | + | 3.48718i | −0.0775503 | + | 0.134321i | ||||
\(675\) | 9.94048 | + | 0.227466i | 0.382609 | + | 0.00875518i | ||||
\(676\) | 0.514578 | + | 0.891275i | 0.0197915 | + | 0.0342798i | ||||
\(677\) | −1.54153 | − | 0.365349i | −0.0592458 | − | 0.0140415i | 0.200886 | − | 0.979615i | \(-0.435618\pi\) |
−0.260132 | + | 0.965573i | \(0.583766\pi\) | |||||||
\(678\) | 4.42297 | − | 1.96992i | 0.169863 | − | 0.0756545i | ||||
\(679\) | 29.5500 | + | 14.8405i | 1.13402 | + | 0.569528i | ||||
\(680\) | −6.10039 | − | 0.713033i | −0.233939 | − | 0.0273436i | ||||
\(681\) | −9.57544 | − | 1.57247i | −0.366932 | − | 0.0602573i | ||||
\(682\) | 0.895435 | − | 0.449704i | 0.0342880 | − | 0.0172201i | ||||
\(683\) | −2.52567 | + | 0.919268i | −0.0966420 | + | 0.0351748i | −0.389889 | − | 0.920862i | \(-0.627487\pi\) |
0.293247 | + | 0.956037i | \(0.405264\pi\) | |||||||
\(684\) | 8.01430 | + | 6.40957i | 0.306434 | + | 0.245076i | ||||
\(685\) | 22.8025 | + | 8.29944i | 0.871240 | + | 0.317105i | ||||
\(686\) | −0.826995 | + | 0.0966618i | −0.0315748 | + | 0.00369057i | ||||
\(687\) | −15.8465 | − | 30.6484i | −0.604580 | − | 1.16931i | ||||
\(688\) | −9.98409 | + | 33.3492i | −0.380640 | + | 1.27143i | ||||
\(689\) | 13.9417 | − | 46.5685i | 0.531136 | − | 1.77412i | ||||
\(690\) | −6.37931 | + | 9.95239i | −0.242856 | + | 0.378881i | ||||
\(691\) | −23.9826 | + | 2.80317i | −0.912342 | + | 0.106638i | −0.559296 | − | 0.828968i | \(-0.688928\pi\) |
−0.353047 | + | 0.935606i | \(0.614854\pi\) | |||||||
\(692\) | −10.8537 | − | 3.95044i | −0.412598 | − | 0.150173i | ||||
\(693\) | −13.1316 | + | 24.0335i | −0.498829 | + | 0.912957i | ||||
\(694\) | −3.30945 | + | 1.20454i | −0.125625 | + | 0.0457237i | ||||
\(695\) | 23.4934 | − | 11.7988i | 0.891154 | − | 0.447554i | ||||
\(696\) | 2.69070 | − | 3.28437i | 0.101991 | − | 0.124494i | ||||
\(697\) | 12.2777 | + | 1.43506i | 0.465052 | + | 0.0543568i | ||||
\(698\) | −2.17177 | − | 1.09070i | −0.0822027 | − | 0.0412837i | ||||
\(699\) | −8.20465 | − | 5.95939i | −0.310329 | − | 0.225405i | ||||
\(700\) | −12.9234 | − | 3.06291i | −0.488460 | − | 0.115767i | ||||
\(701\) | −14.6288 | − | 25.3379i | −0.552523 | − | 0.956998i | −0.998092 | − | 0.0617504i | \(-0.980332\pi\) |
0.445568 | − | 0.895248i | \(-0.353002\pi\) | |||||||
\(702\) | −5.71284 | + | 1.21664i | −0.215617 | + | 0.0459192i | ||||
\(703\) | 4.75767 | − | 8.24053i | 0.179439 | − | 0.310798i | ||||
\(704\) | −10.0616 | + | 10.6647i | −0.379212 | + | 0.401941i | ||||
\(705\) | 18.4208 | − | 37.7808i | 0.693769 | − | 1.42291i | ||||
\(706\) | −0.0474977 | − | 0.815504i | −0.00178760 | − | 0.0306919i | ||||
\(707\) | 0.321754 | − | 0.432190i | 0.0121008 | − | 0.0162542i | ||||
\(708\) | −3.03420 | + | 0.571901i | −0.114032 | + | 0.0214933i | ||||
\(709\) | −6.75113 | − | 4.44029i | −0.253544 | − | 0.166759i | 0.416374 | − | 0.909193i | \(-0.363301\pi\) |
−0.669918 | + | 0.742435i | \(0.733671\pi\) | |||||||
\(710\) | 0.906243 | − | 5.13956i | 0.0340107 | − | 0.192884i | ||||
\(711\) | −24.5265 | − | 24.8005i | −0.919815 | − | 0.930093i | ||||
\(712\) | −0.986786 | − | 5.59634i | −0.0369814 | − | 0.209732i | ||||
\(713\) | −4.40179 | + | 10.2045i | −0.164848 | + | 0.382161i | ||||
\(714\) | −2.99726 | + | 2.28668i | −0.112170 | + | 0.0855769i | ||||
\(715\) | 23.6093 | − | 5.59551i | 0.882938 | − | 0.209260i | ||||
\(716\) | 3.61600 | + | 3.83274i | 0.135136 | + | 0.143236i | ||||
\(717\) | −18.9988 | − | 17.5065i | −0.709522 | − | 0.653793i | ||||
\(718\) | 3.55306 | + | 4.77259i | 0.132599 | + | 0.178111i | ||||
\(719\) | −24.5961 | + | 20.6385i | −0.917278 | + | 0.769688i | −0.973490 | − | 0.228731i | \(-0.926542\pi\) |
0.0562116 | + | 0.998419i | \(0.482098\pi\) | |||||||
\(720\) | 24.0165 | − | 12.7779i | 0.895043 | − | 0.476203i | ||||
\(721\) | −38.0482 | − | 31.9263i | −1.41699 | − | 1.18900i | ||||
\(722\) | −0.280318 | + | 4.81287i | −0.0104323 | + | 0.179116i | ||||
\(723\) | −0.335100 | + | 0.198764i | −0.0124625 | + | 0.00739210i | ||||
\(724\) | −6.65834 | − | 15.4358i | −0.247455 | − | 0.573666i | ||||
\(725\) | 3.28380 | − | 2.15979i | 0.121957 | − | 0.0802125i | ||||
\(726\) | 0.603341 | + | 2.41852i | 0.0223921 | + | 0.0897598i | ||||
\(727\) | −4.65943 | − | 15.5636i | −0.172809 | − | 0.577222i | −0.999885 | − | 0.0151325i | \(-0.995183\pi\) |
0.827077 | − | 0.562089i | \(-0.190002\pi\) | |||||||
\(728\) | 15.9859 | 0.592478 | ||||||||
\(729\) | −2.80120 | + | 26.8543i | −0.103748 | + | 0.994604i | ||||
\(730\) | −5.29394 | −0.195938 | ||||||||
\(731\) | 5.66623 | + | 18.9265i | 0.209573 | + | 0.700023i | ||||
\(732\) | 1.57843 | + | 6.32720i | 0.0583403 | + | 0.233860i | ||||
\(733\) | 7.89518 | − | 5.19274i | 0.291615 | − | 0.191798i | −0.395269 | − | 0.918566i | \(-0.629348\pi\) |
0.686884 | + | 0.726767i | \(0.258978\pi\) | |||||||
\(734\) | 1.27632 | + | 2.95885i | 0.0471099 | + | 0.109213i | ||||
\(735\) | −24.4861 | + | 14.5238i | −0.903183 | + | 0.535720i | ||||
\(736\) | −1.69977 | + | 29.1839i | −0.0626543 | + | 1.07573i | ||||
\(737\) | −11.4718 | − | 9.62596i | −0.422568 | − | 0.354577i | ||||
\(738\) | 5.10984 | − | 2.71866i | 0.188096 | − | 0.100075i | ||||
\(739\) | −0.162054 | + | 0.135979i | −0.00596124 | + | 0.00500207i | −0.645763 | − | 0.763538i | \(-0.723461\pi\) |
0.639802 | + | 0.768540i | \(0.279016\pi\) | |||||||
\(740\) | −15.8782 | − | 21.3282i | −0.583695 | − | 0.784039i | ||||
\(741\) | −8.40869 | − | 7.74823i | −0.308901 | − | 0.284638i | ||||
\(742\) | −10.0816 | − | 10.6858i | −0.370106 | − | 0.392289i | ||||
\(743\) | −37.2760 | + | 8.83459i | −1.36753 | + | 0.324110i | −0.847842 | − | 0.530249i | \(-0.822098\pi\) |
−0.519684 | + | 0.854359i | \(0.673950\pi\) | |||||||
\(744\) | −2.14951 | + | 1.63991i | −0.0788047 | + | 0.0601219i | ||||
\(745\) | 1.71192 | − | 3.96867i | 0.0627198 | − | 0.145401i | ||||
\(746\) | 0.999215 | + | 5.66683i | 0.0365839 | + | 0.207477i | ||||
\(747\) | 35.9820 | + | 36.3841i | 1.31651 | + | 1.33122i | ||||
\(748\) | −1.62514 | + | 9.21664i | −0.0594211 | + | 0.336994i | ||||
\(749\) | −2.57958 | − | 1.69662i | −0.0942557 | − | 0.0619930i | ||||
\(750\) | 4.21975 | − | 0.795358i | 0.154083 | − | 0.0290424i | ||||
\(751\) | 19.3084 | − | 25.9356i | 0.704572 | − | 0.946405i | −0.295387 | − | 0.955378i | \(-0.595449\pi\) |
0.999960 | + | 0.00897263i | \(0.00285612\pi\) | |||||||
\(752\) | −1.85075 | − | 31.7761i | −0.0674899 | − | 1.15876i | ||||
\(753\) | −0.0879869 | + | 0.180460i | −0.00320642 | + | 0.00657632i | ||||
\(754\) | −1.58444 | + | 1.67941i | −0.0577019 | + | 0.0611605i | ||||
\(755\) | −19.6111 | + | 33.9674i | −0.713721 | + | 1.23620i | ||||
\(756\) | 11.1313 | − | 34.3044i | 0.404841 | − | 1.24764i | ||||
\(757\) | 16.7349 | + | 28.9858i | 0.608242 | + | 1.05351i | 0.991530 | + | 0.129877i | \(0.0414581\pi\) |
−0.383289 | + | 0.923629i | \(0.625209\pi\) | |||||||
\(758\) | 2.57454 | + | 0.610177i | 0.0935115 | + | 0.0221626i | ||||
\(759\) | 29.8618 | + | 21.6899i | 1.08391 | + | 0.787294i | ||||
\(760\) | −5.03098 | − | 2.52666i | −0.182493 | − | 0.0916514i | ||||
\(761\) | 1.79342 | + | 0.209621i | 0.0650116 | + | 0.00759876i | 0.148537 | − | 0.988907i | \(-0.452544\pi\) |
−0.0835249 | + | 0.996506i | \(0.526618\pi\) | |||||||
\(762\) | 0.257597 | − | 0.314432i | 0.00933175 | − | 0.0113907i | ||||
\(763\) | 15.7691 | − | 7.91955i | 0.570881 | − | 0.286707i | ||||
\(764\) | 3.31895 | − | 1.20800i | 0.120075 | − | 0.0437038i | ||||
\(765\) | 7.40279 | − | 13.5486i | 0.267648 | − | 0.489850i | ||||
\(766\) | −8.68571 | − | 3.16134i | −0.313827 | − | 0.114224i | ||||
\(767\) | 3.41701 | − | 0.399391i | 0.123381 | − | 0.0144212i | ||||
\(768\) | 8.45455 | − | 13.1900i | 0.305077 | − | 0.475953i | ||||
\(769\) | 9.74217 | − | 32.5411i | 0.351312 | − | 1.17346i | −0.581636 | − | 0.813449i | \(-0.697587\pi\) |
0.932947 | − | 0.360013i | \(-0.117228\pi\) | |||||||
\(770\) | 2.10307 | − | 7.02475i | 0.0757894 | − | 0.253154i | ||||
\(771\) | 7.11583 | + | 13.7626i | 0.256270 | + | 0.495648i | ||||
\(772\) | 0.654752 | − | 0.0765296i | 0.0235651 | − | 0.00275436i | ||||
\(773\) | −0.0917313 | − | 0.0333874i | −0.00329934 | − | 0.00120086i | 0.340370 | − | 0.940292i | \(-0.389448\pi\) |
−0.343669 | + | 0.939091i | \(0.611670\pi\) | |||||||
\(774\) | 7.22446 | + | 5.77789i | 0.259678 | + | 0.207682i | ||||
\(775\) | −2.35185 | + | 0.856003i | −0.0844809 | + | 0.0307485i | ||||
\(776\) | 9.68795 | − | 4.86547i | 0.347777 | − | 0.174660i | ||||
\(777\) | −32.9986 | − | 5.41901i | −1.18382 | − | 0.194406i | ||||
\(778\) | 4.94094 | + | 0.577514i | 0.177141 | + | 0.0207049i | ||||
\(779\) | 10.1254 | + | 5.08519i | 0.362782 | + | 0.182196i | ||||
\(780\) | −29.1876 | + | 12.9997i | −1.04508 | + | 0.465465i | ||||
\(781\) | −15.8546 | − | 3.75761i | −0.567322 | − | 0.134458i | ||||
\(782\) | 2.54026 | + | 4.39986i | 0.0908395 | + | 0.157339i | ||||
\(783\) | 5.12356 | + | 9.36259i | 0.183101 | + | 0.334592i | ||||
\(784\) | −10.7796 | + | 18.6708i | −0.384985 | + | 0.666814i | ||||
\(785\) | −0.489380 | + | 0.518713i | −0.0174667 | + | 0.0185137i | ||||
\(786\) | −4.27537 | + | 0.299525i | −0.152497 | + | 0.0106837i | ||||
\(787\) | −1.43264 | − | 24.5974i | −0.0510680 | − | 0.876803i | −0.922430 | − | 0.386163i | \(-0.873800\pi\) |
0.871362 | − | 0.490640i | \(-0.163237\pi\) | |||||||
\(788\) | 25.7245 | − | 34.5540i | 0.916398 | − | 1.23094i | ||||
\(789\) | −9.05461 | + | 25.8186i | −0.322353 | + | 0.919166i | ||||
\(790\) | 7.80265 | + | 5.13188i | 0.277606 | + | 0.182584i | ||||
\(791\) | 5.78430 | − | 32.8044i | 0.205666 | − | 1.16639i | ||||
\(792\) | 3.74934 | + | 8.15853i | 0.133227 | + | 0.289901i | ||||
\(793\) | −1.26171 | − | 7.15552i | −0.0448047 | − | 0.254100i | ||||
\(794\) | −3.61651 | + | 8.38402i | −0.128345 | + | 0.297538i | ||||
\(795\) | 55.5201 | + | 23.1781i | 1.96910 | + | 0.822042i | ||||
\(796\) | −27.3562 | + | 6.48355i | −0.969616 | + | 0.229803i | ||||
\(797\) | −9.19976 | − | 9.75117i | −0.325872 | − | 0.345404i | 0.543638 | − | 0.839320i | \(-0.317047\pi\) |
−0.869510 | + | 0.493916i | \(0.835565\pi\) | |||||||
\(798\) | −3.29855 | + | 1.02996i | −0.116768 | + | 0.0364603i | ||||
\(799\) | −10.7873 | − | 14.4898i | −0.381627 | − | 0.512614i | ||||
\(800\) | −5.04324 | + | 4.23178i | −0.178305 | + | 0.149616i | ||||
\(801\) | 13.9733 | + | 2.96630i | 0.493722 | + | 0.104809i | ||||
\(802\) | 7.31689 | + | 6.13960i | 0.258368 | + | 0.216797i | ||||
\(803\) | −0.961032 | + | 16.5003i | −0.0339141 | + | 0.582283i | ||||
\(804\) | 17.1934 | + | 9.65866i | 0.606363 | + | 0.340635i | ||||
\(805\) | 32.2125 | + | 74.6769i | 1.13534 | + | 2.63201i | ||||
\(806\) | 1.22836 | − | 0.807906i | 0.0432672 | − | 0.0284573i | ||||
\(807\) | 40.3678 | + | 11.5696i | 1.42101 | + | 0.407268i | ||||
\(808\) | −0.0506632 | − | 0.169227i | −0.00178232 | − | 0.00595338i | ||||
\(809\) | −25.3728 | −0.892061 | −0.446030 | − | 0.895018i | \(-0.647163\pi\) | ||||
−0.446030 | + | 0.895018i | \(0.647163\pi\) | |||||||
\(810\) | −0.759415 | − | 7.18918i | −0.0266831 | − | 0.252602i | ||||
\(811\) | 4.23503 | 0.148712 | 0.0743560 | − | 0.997232i | \(-0.476310\pi\) | ||||
0.0743560 | + | 0.997232i | \(0.476310\pi\) | |||||||
\(812\) | −4.08871 | − | 13.6573i | −0.143486 | − | 0.479276i | ||||
\(813\) | −17.9402 | + | 17.3292i | −0.629190 | + | 0.607761i | ||||
\(814\) | 3.39481 | − | 2.23280i | 0.118988 | − | 0.0782597i | ||||
\(815\) | 2.03394 | + | 4.71520i | 0.0712457 | + | 0.165166i | ||||
\(816\) | −0.137563 | − | 11.6908i | −0.00481568 | − | 0.409260i | ||||
\(817\) | −1.05296 | + | 18.0786i | −0.0368384 | + | 0.632491i | ||||
\(818\) | 6.16818 | + | 5.17572i | 0.215665 | + | 0.180965i | ||||
\(819\) | −15.0435 | + | 37.2621i | −0.525664 | + | 1.30204i | ||||
\(820\) | 24.2547 | − | 20.3521i | 0.847012 | − | 0.710727i | ||||
\(821\) | 22.9970 | + | 30.8904i | 0.802601 | + | 1.07808i | 0.995302 | + | 0.0968232i | \(0.0308681\pi\) |
−0.192700 | + | 0.981258i | \(0.561724\pi\) | |||||||
\(822\) | 1.07016 | − | 4.76448i | 0.0373260 | − | 0.166180i | ||||
\(823\) | 7.10830 | + | 7.53435i | 0.247780 | + | 0.262631i | 0.839312 | − | 0.543650i | \(-0.182958\pi\) |
−0.591532 | + | 0.806281i | \(0.701477\pi\) | |||||||
\(824\) | −15.8449 | + | 3.75530i | −0.551982 | + | 0.130822i | ||||
\(825\) | 1.06201 | + | 8.24366i | 0.0369744 | + | 0.287007i | ||||
\(826\) | 0.411808 | − | 0.954678i | 0.0143286 | − | 0.0332175i | ||||
\(827\) | −0.0896693 | − | 0.508540i | −0.00311811 | − | 0.0176837i | 0.983209 | − | 0.182483i | \(-0.0584135\pi\) |
−0.986327 | + | 0.164799i | \(0.947302\pi\) | |||||||
\(828\) | −43.9342 | − | 20.7848i | −1.52682 | − | 0.722322i | ||||
\(829\) | −0.356418 | + | 2.02135i | −0.0123789 | + | 0.0702043i | −0.990371 | − | 0.138436i | \(-0.955793\pi\) |
0.977993 | + | 0.208640i | \(0.0669037\pi\) | |||||||
\(830\) | −11.4470 | − | 7.52882i | −0.397332 | − | 0.261329i | ||||
\(831\) | −31.3824 | − | 36.5187i | −1.08864 | − | 1.26682i | ||||
\(832\) | −12.8467 | + | 17.2561i | −0.445379 | + | 0.598248i | ||||
\(833\) | 0.711425 | + | 12.2147i | 0.0246494 | + | 0.423214i | ||||
\(834\) | −2.95895 | − | 4.38559i | −0.102460 | − | 0.151861i | ||||
\(835\) | −13.8245 | + | 14.6532i | −0.478418 | + | 0.507094i | ||||
\(836\) | −4.28925 | + | 7.42920i | −0.148347 | + | 0.256944i | ||||
\(837\) | −1.79972 | − | 6.55358i | −0.0622074 | − | 0.226525i | ||||
\(838\) | 2.39670 | + | 4.15120i | 0.0827925 | + | 0.143401i | ||||
\(839\) | −5.63457 | − | 1.33542i | −0.194527 | − | 0.0461037i | 0.132197 | − | 0.991223i | \(-0.457797\pi\) |
−0.326724 | + | 0.945120i | \(0.605945\pi\) | |||||||
\(840\) | −2.06556 | + | 19.6772i | −0.0712685 | + | 0.678929i | ||||
\(841\) | −22.1452 | − | 11.1218i | −0.763629 | − | 0.383509i | ||||
\(842\) | −6.91649 | − | 0.808422i | −0.238358 | − | 0.0278601i | ||||
\(843\) | −6.23187 | − | 16.5147i | −0.214637 | − | 0.568796i | ||||
\(844\) | 22.1259 | − | 11.1120i | 0.761604 | − | 0.382492i | ||||
\(845\) | 1.33365 | − | 0.485407i | 0.0458788 | − | 0.0166985i | ||||
\(846\) | −8.01420 | − | 2.70513i | −0.275534 | − | 0.0930042i | ||||
\(847\) | 16.1145 | + | 5.86521i | 0.553702 | + | 0.201531i | ||||
\(848\) | 45.2525 | − | 5.28926i | 1.55398 | − | 0.181634i | ||||
\(849\) | −50.0282 | − | 2.32355i | −1.71696 | − | 0.0797439i | ||||
\(850\) | −0.328148 | + | 1.09609i | −0.0112554 | + | 0.0375956i | ||||
\(851\) | −12.9250 | + | 43.1725i | −0.443064 | + | 1.47994i | ||||
\(852\) | 21.4337 | + | 0.995483i | 0.734307 | + | 0.0341047i | ||||
\(853\) | 51.3968 | − | 6.00742i | 1.75979 | − | 0.205690i | 0.826041 | − | 0.563610i | \(-0.190588\pi\) |
0.933752 | + | 0.357920i | \(0.116514\pi\) | |||||||
\(854\) | −2.06345 | − | 0.751036i | −0.0706100 | − | 0.0256999i | ||||
\(855\) | 10.6239 | − | 9.34917i | 0.363328 | − | 0.319735i | ||||
\(856\) | −0.951194 | + | 0.346206i | −0.0325112 | + | 0.0118331i | ||||
\(857\) | 20.2333 | − | 10.1615i | 0.691156 | − | 0.347112i | −0.0683049 | − | 0.997664i | \(-0.521759\pi\) |
0.759461 | + | 0.650553i | \(0.225463\pi\) | |||||||
\(858\) | −1.72384 | − | 4.56824i | −0.0588509 | − | 0.155957i | ||||
\(859\) | −26.7769 | − | 3.12977i | −0.913615 | − | 0.106786i | −0.353722 | − | 0.935351i | \(-0.615084\pi\) |
−0.559894 | + | 0.828564i | \(0.689158\pi\) | |||||||
\(860\) | 45.2217 | + | 22.7112i | 1.54205 | + | 0.774446i | ||||
\(861\) | 4.15718 | − | 39.6027i | 0.141676 | − | 1.34966i | ||||
\(862\) | 10.1482 | + | 2.40517i | 0.345649 | + | 0.0819204i | ||||
\(863\) | 3.95729 | + | 6.85423i | 0.134708 | + | 0.233321i | 0.925486 | − | 0.378782i | \(-0.123657\pi\) |
−0.790778 | + | 0.612103i | \(0.790324\pi\) | |||||||
\(864\) | −10.3447 | − | 14.5801i | −0.351932 | − | 0.496027i | ||||
\(865\) | −7.96411 | + | 13.7942i | −0.270788 | + | 0.469018i | ||||
\(866\) | 4.87304 | − | 5.16513i | 0.165593 | − | 0.175518i | ||||
\(867\) | 12.7574 | + | 18.9083i | 0.433265 | + | 0.642160i | ||||
\(868\) | 0.527839 | + | 9.06264i | 0.0179160 | + | 0.307606i | ||||
\(869\) | 17.4116 | − | 23.3879i | 0.590649 | − | 0.793379i | ||||
\(870\) | −1.86247 | − | 2.16730i | −0.0631437 | − | 0.0734783i | ||||
\(871\) | −18.3581 | − | 12.0743i | −0.622040 | − | 0.409122i | ||||
\(872\) | 1.00460 | − | 5.69738i | 0.0340201 | − | 0.192937i | ||||
\(873\) | 2.22425 | + | 27.1606i | 0.0752794 | + | 0.919246i | ||||
\(874\) | 0.808665 | + | 4.58616i | 0.0273535 | + | 0.155129i | ||||
\(875\) | 11.7010 | − | 27.1259i | 0.395565 | − | 0.917022i | ||||
\(876\) | −2.78102 | − | 21.5872i | −0.0939618 | − | 0.729363i | ||||
\(877\) | −1.01266 | + | 0.240004i | −0.0341950 | + | 0.00810435i | −0.247678 | − | 0.968842i | \(-0.579667\pi\) |
0.213483 | + | 0.976947i | \(0.431519\pi\) | |||||||
\(878\) | 1.44708 | + | 1.53382i | 0.0488366 | + | 0.0517638i | ||||
\(879\) | 11.2523 | − | 50.0968i | 0.379531 | − | 1.68972i | ||||
\(880\) | 13.5800 | + | 18.2410i | 0.457780 | + | 0.614906i | ||||
\(881\) | 22.9183 | − | 19.2307i | 0.772138 | − | 0.647900i | −0.169118 | − | 0.985596i | \(-0.554092\pi\) |
0.941255 | + | 0.337695i | \(0.109647\pi\) | |||||||
\(882\) | 3.52836 | + | 4.51366i | 0.118806 | + | 0.151983i | ||||
\(883\) | −4.28456 | − | 3.59517i | −0.144187 | − | 0.120987i | 0.567841 | − | 0.823138i | \(-0.307779\pi\) |
−0.712028 | + | 0.702151i | \(0.752223\pi\) | |||||||
\(884\) | −0.798442 | + | 13.7087i | −0.0268545 | + | 0.461074i | ||||
\(885\) | 0.0500988 | + | 4.25763i | 0.00168405 | + | 0.143119i | ||||
\(886\) | −1.95063 | − | 4.52207i | −0.0655327 | − | 0.151922i | ||||
\(887\) | −9.25699 | + | 6.08842i | −0.310819 | + | 0.204429i | −0.695329 | − | 0.718692i | \(-0.744741\pi\) |
0.384509 | + | 0.923121i | \(0.374371\pi\) | |||||||
\(888\) | −7.88548 | + | 7.61692i | −0.264619 | + | 0.255607i | ||||
\(889\) | −0.802033 | − | 2.67898i | −0.0268993 | − | 0.0898500i | ||||
\(890\) | −3.82469 | −0.128204 | ||||||||
\(891\) | −22.5453 | + | 1.06188i | −0.755295 | + | 0.0355743i | ||||
\(892\) | 28.2969 | 0.947451 | ||||||||
\(893\) | −4.74894 | − | 15.8626i | −0.158917 | − | 0.530820i | ||||
\(894\) | −0.836112 | − | 0.239633i | −0.0279638 | − | 0.00801453i | ||||
\(895\) | 6.07107 | − | 3.99300i | 0.202933 | − | 0.133471i | ||||
\(896\) | 12.4962 | + | 28.9695i | 0.417469 | + | 0.967802i | ||||
\(897\) | 47.2138 | + | 26.5232i | 1.57642 | + | 0.885583i | ||||
\(898\) | −0.393155 | + | 6.75021i | −0.0131198 | + | 0.225257i | ||||
\(899\) | −2.05795 | − | 1.72683i | −0.0686366 | − | 0.0575929i | ||||
\(900\) | −3.38508 | − | 10.4089i | −0.112836 | − | 0.346965i | ||||
\(901\) | 19.8075 | − | 16.6204i | 0.659883 | − | 0.553707i | ||||
\(902\) | 2.88932 | + | 3.88103i | 0.0962038 | + | 0.129224i | ||||
\(903\) | 60.7503 | − | 18.9691i | 2.02164 | − | 0.631252i | ||||
\(904\) | −7.49432 | − | 7.94352i | −0.249258 | − | 0.264198i | ||||
\(905\) | −22.5574 | + | 5.34621i | −0.749834 | + | 0.177714i | ||||
\(906\) | 7.28370 | + | 3.04074i | 0.241985 | + | 0.101022i | ||||
\(907\) | 10.6048 | − | 24.5846i | 0.352126 | − | 0.816319i | −0.646450 | − | 0.762957i | \(-0.723747\pi\) |
0.998575 | − | 0.0533621i | \(-0.0169938\pi\) | |||||||
\(908\) | 1.85491 | + | 10.5197i | 0.0615575 | + | 0.349110i | ||||
\(909\) | 0.442132 | + | 0.0411582i | 0.0146646 | + | 0.00136513i | ||||
\(910\) | 1.86832 | − | 10.5958i | 0.0619342 | − | 0.351246i | ||||
\(911\) | −20.4066 | − | 13.4216i | −0.676100 | − | 0.444678i | 0.164469 | − | 0.986382i | \(-0.447409\pi\) |
−0.840569 | + | 0.541704i | \(0.817779\pi\) | |||||||
\(912\) | 3.54661 | − | 10.1129i | 0.117440 | − | 0.334872i | ||||
\(913\) | −25.5440 | + | 34.3116i | −0.845384 | + | 1.13555i | ||||
\(914\) | −0.461185 | − | 7.91824i | −0.0152546 | − | 0.261912i | ||||
\(915\) | 8.97082 | − | 0.628479i | 0.296566 | − | 0.0207769i | ||||
\(916\) | −26.0643 | + | 27.6265i | −0.861188 | + | 0.912806i | ||||
\(917\) | −14.7428 | + | 25.5352i | −0.486849 | + | 0.843247i | ||||
\(918\) | −2.89446 | − | 1.12914i | −0.0955315 | − | 0.0372670i | ||||
\(919\) | −20.5877 | − | 35.6590i | −0.679127 | − | 1.17628i | −0.975244 | − | 0.221131i | \(-0.929025\pi\) |
0.296117 | − | 0.955152i | \(-0.404308\pi\) | |||||||
\(920\) | 25.9447 | + | 6.14901i | 0.855372 | + | 0.202727i | ||||
\(921\) | −16.3792 | + | 7.29505i | −0.539713 | + | 0.240380i | ||||
\(922\) | 0.622543 | + | 0.312653i | 0.0205024 | + | 0.0102967i | ||||
\(923\) | −23.7458 | − | 2.77549i | −0.781603 | − | 0.0913563i | ||||
\(924\) | 29.7497 | + | 4.88548i | 0.978693 | + | 0.160720i | ||||
\(925\) | −9.06949 | + | 4.55487i | −0.298203 | + | 0.149763i | ||||
\(926\) | 1.58655 | − | 0.577457i | 0.0521373 | − | 0.0189764i | ||||
\(927\) | 6.15743 | − | 40.4672i | 0.202236 | − | 1.32912i | ||||
\(928\) | −6.64048 | − | 2.41694i | −0.217984 | − | 0.0793398i | ||||
\(929\) | 4.41786 | − | 0.516374i | 0.144945 | − | 0.0169417i | −0.0433108 | − | 0.999062i | \(-0.513791\pi\) |
0.188256 | + | 0.982120i | \(0.439716\pi\) | |||||||
\(930\) | 0.835741 | + | 1.61639i | 0.0274050 | + | 0.0530036i | ||||
\(931\) | −3.21656 | + | 10.7441i | −0.105419 | + | 0.352123i | ||||
\(932\) | −3.20156 | + | 10.6940i | −0.104871 | + | 0.350292i | ||||
\(933\) | 7.51651 | − | 11.7265i | 0.246079 | − | 0.383910i | ||||
\(934\) | −8.08544 | + | 0.945052i | −0.264564 | + | 0.0309230i | ||||
\(935\) | 12.1278 | + | 4.41414i | 0.396620 | + | 0.144358i | ||||
\(936\) | 6.85384 | + | 11.2512i | 0.224025 | + | 0.367757i | ||||
\(937\) | −16.9270 | + | 6.16093i | −0.552982 | + | 0.201269i | −0.603371 | − | 0.797461i | \(-0.706176\pi\) |
0.0503891 | + | 0.998730i | \(0.483954\pi\) | |||||||
\(938\) | −5.93425 | + | 2.98029i | −0.193760 | + | 0.0973100i | ||||
\(939\) | −3.70600 | + | 4.52369i | −0.120941 | + | 0.147625i | ||||
\(940\) | −45.9572 | − | 5.37163i | −1.49896 | − | 0.175203i | ||||
\(941\) | 34.8250 | + | 17.4898i | 1.13526 | + | 0.570150i | 0.914262 | − | 0.405123i | \(-0.132771\pi\) |
0.221000 | + | 0.975274i | \(0.429068\pi\) | |||||||
\(942\) | 0.116111 | + | 0.0843366i | 0.00378311 | + | 0.00274784i | ||||
\(943\) | −52.2168 | − | 12.3756i | −1.70041 | − | 0.403005i | ||||
\(944\) | 1.61221 | + | 2.79243i | 0.0524729 | + | 0.0908857i | ||||
\(945\) | −43.9225 | − | 23.3319i | −1.42880 | − | 0.758986i | ||||
\(946\) | −3.86653 | + | 6.69703i | −0.125712 | + | 0.217739i | ||||
\(947\) | −26.3647 | + | 27.9449i | −0.856737 | + | 0.908088i | −0.996626 | − | 0.0820795i | \(-0.973844\pi\) |
0.139889 | + | 0.990167i | \(0.455325\pi\) | |||||||
\(948\) | −16.8275 | + | 34.5128i | −0.546530 | + | 1.12093i | ||||
\(949\) | 1.41010 | + | 24.2104i | 0.0457737 | + | 0.785904i | ||||
\(950\) | −0.626275 | + | 0.841233i | −0.0203190 | + | 0.0272932i | ||||
\(951\) | 18.9246 | − | 3.56699i | 0.613671 | − | 0.115668i | ||||
\(952\) | 7.10432 | + | 4.67258i | 0.230252 | + | 0.151439i | ||||
\(953\) | −4.09748 | + | 23.2380i | −0.132730 | + | 0.752752i | 0.843683 | + | 0.536842i | \(0.180383\pi\) |
−0.976413 | + | 0.215910i | \(0.930728\pi\) | |||||||
\(954\) | 3.19850 | − | 11.6770i | 0.103555 | − | 0.378058i | ||||
\(955\) | −0.845782 | − | 4.79667i | −0.0273689 | − | 0.155216i | ||||
\(956\) | −11.2643 | + | 26.1135i | −0.364312 | + | 0.844570i | ||||
\(957\) | −7.09319 | + | 5.41156i | −0.229290 | + | 0.174931i | ||||
\(958\) | −5.75118 | + | 1.36305i | −0.185812 | + | 0.0440383i | ||||
\(959\) | −23.0543 | − | 24.4362i | −0.744463 | − | 0.789085i | ||||
\(960\) | −19.5808 | − | 18.0428i | −0.631967 | − | 0.582329i | ||||
\(961\) | −17.4904 | − | 23.4936i | −0.564205 | − | 0.757859i | ||||
\(962\) | 4.56710 | − | 3.83225i | 0.147249 | − | 0.123557i | ||||
\(963\) | 0.0881366 | − | 2.54297i | 0.00284016 | − | 0.0819459i | ||||
\(964\) | 0.328553 | + | 0.275689i | 0.0105820 | + | 0.00887933i | ||||
\(965\) | 0.0528577 | − | 0.907531i | 0.00170155 | − | 0.0292145i | ||||
\(966\) | 14.0763 | − | 8.34930i | 0.452897 | − | 0.268634i | ||||
\(967\) | −19.5806 | − | 45.3930i | −0.629671 | − | 1.45974i | −0.871980 | − | 0.489541i | \(-0.837164\pi\) |
0.242309 | − | 0.970199i | \(-0.422095\pi\) | |||||||
\(968\) | 4.69729 | − | 3.08945i | 0.150977 | − | 0.0992988i | ||||
\(969\) | −1.47215 | − | 5.90120i | −0.0472924 | − | 0.189574i | ||||
\(970\) | −2.09267 | − | 6.98999i | −0.0671914 | − | 0.224435i | ||||
\(971\) | 33.2987 | 1.06861 | 0.534304 | − | 0.845292i | \(-0.320574\pi\) | ||||
0.534304 | + | 0.845292i | \(0.320574\pi\) | |||||||
\(972\) | 28.9165 | − | 6.87330i | 0.927497 | − | 0.220461i | ||||
\(973\) | −36.3969 | −1.16683 | ||||||||
\(974\) | −2.09742 | − | 7.00589i | −0.0672058 | − | 0.224483i | ||||
\(975\) | 2.95194 | + | 11.8330i | 0.0945379 | + | 0.378960i | ||||
\(976\) | 5.68968 | − | 3.74216i | 0.182122 | − | 0.119784i | ||||
\(977\) | 1.48012 | + | 3.43130i | 0.0473532 | + | 0.109777i | 0.940251 | − | 0.340483i | \(-0.110591\pi\) |
−0.892897 | + | 0.450260i | \(0.851331\pi\) | |||||||
\(978\) | 0.888795 | − | 0.527186i | 0.0284205 | − | 0.0168575i | ||||
\(979\) | −0.694312 | + | 11.9209i | −0.0221903 | + | 0.380993i | ||||
\(980\) | 24.0077 | + | 20.1448i | 0.766896 | + | 0.643503i | ||||
\(981\) | 12.3348 | + | 7.70316i | 0.393820 | + | 0.245943i | ||||
\(982\) | 6.39536 | − | 5.36635i | 0.204084 | − | 0.171247i | ||||
\(983\) | −11.5957 | − | 15.5758i | −0.369847 | − | 0.496790i | 0.577770 | − | 0.816199i | \(-0.303923\pi\) |
−0.947617 | + | 0.319409i | \(0.896516\pi\) | |||||||
\(984\) | −9.60067 | − | 8.84659i | −0.306058 | − | 0.282019i | ||||
\(985\) | −40.7669 | − | 43.2104i | −1.29894 | − | 1.37680i | ||||
\(986\) | −1.19502 | + | 0.283225i | −0.0380572 | + | 0.00901973i | ||||
\(987\) | −46.2649 | + | 35.2965i | −1.47263 | + | 1.12350i | ||||
\(988\) | −4.98546 | + | 11.5576i | −0.158609 | + | 0.367696i | ||||
\(989\) | −14.8934 | − | 84.4645i | −0.473582 | − | 2.68582i | ||||
\(990\) | 5.84582 | − | 1.53162i | 0.185792 | − | 0.0486781i | ||||
\(991\) | −9.87489 | + | 56.0033i | −0.313686 | + | 1.77900i | 0.265808 | + | 0.964026i | \(0.414361\pi\) |
−0.579494 | + | 0.814976i | \(0.696750\pi\) | |||||||
\(992\) | 3.75959 | + | 2.47272i | 0.119367 | + | 0.0785091i | ||||
\(993\) | 36.0875 | − | 6.80195i | 1.14520 | − | 0.215853i | ||||
\(994\) | −4.31462 | + | 5.79554i | −0.136851 | + | 0.183823i | ||||
\(995\) | 2.25428 | + | 38.7045i | 0.0714655 | + | 1.22702i | ||||
\(996\) | 24.6870 | − | 50.6327i | 0.782238 | − | 1.60436i | ||||
\(997\) | −29.5096 | + | 31.2784i | −0.934580 | + | 0.990596i | −0.999974 | − | 0.00726306i | \(-0.997688\pi\) |
0.0653941 | + | 0.997860i | \(0.479170\pi\) | |||||||
\(998\) | −1.45741 | + | 2.52432i | −0.0461337 | + | 0.0799058i | ||||
\(999\) | −10.3339 | − | 25.5484i | −0.326950 | − | 0.808316i |
(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 | 81.2.g.a.43.5 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.46.4 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.622.4 | 144 | |||
9.4 | even | 3 | 729.2.g.d.136.4 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.136.5 | 144 | |||
9.7 | even | 3 | 729.2.g.c.622.5 | 144 | |||
81.5 | odd | 54 | 729.2.g.b.109.4 | 144 | |||
81.7 | even | 27 | 6561.2.a.c.1.35 | 72 | |||
81.22 | even | 27 | 729.2.g.d.595.4 | 144 | |||
81.32 | odd | 54 | 243.2.g.a.37.4 | 144 | |||
81.49 | even | 27 | inner | 81.2.g.a.49.5 | yes | 144 | |
81.59 | odd | 54 | 729.2.g.a.595.5 | 144 | |||
81.74 | odd | 54 | 6561.2.a.d.1.38 | 72 | |||
81.76 | even | 27 | 729.2.g.c.109.5 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.43.5 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.49.5 | yes | 144 | 81.49 | even | 27 | inner | |
243.2.g.a.37.4 | 144 | 81.32 | odd | 54 | |||
243.2.g.a.46.4 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.136.5 | 144 | 9.5 | odd | 6 | |||
729.2.g.a.595.5 | 144 | 81.59 | odd | 54 | |||
729.2.g.b.109.4 | 144 | 81.5 | odd | 54 | |||
729.2.g.b.622.4 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.109.5 | 144 | 81.76 | even | 27 | |||
729.2.g.c.622.5 | 144 | 9.7 | even | 3 | |||
729.2.g.d.136.4 | 144 | 9.4 | even | 3 | |||
729.2.g.d.595.4 | 144 | 81.22 | even | 27 | |||
6561.2.a.c.1.35 | 72 | 81.7 | even | 27 | |||
6561.2.a.d.1.38 | 72 | 81.74 | odd | 54 |