Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,2,Mod(11,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.l (of order \(6\), degree \(2\), 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: | \(0.574922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 7 x^{14} - 12 x^{13} + 16 x^{12} - 12 x^{11} - 8 x^{10} + 36 x^{9} - 68 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.8 | ||
Root | \(-0.409484 - 1.35363i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 72.59 |
Dual form | 72.2.l.b.11.8 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37702 | + | 0.322193i | 0.973702 | + | 0.227825i | ||||
\(3\) | −1.12774 | − | 1.31461i | −0.651100 | − | 0.758992i | ||||
\(4\) | 1.79238 | + | 0.887333i | 0.896192 | + | 0.443667i | ||||
\(5\) | 0.565188 | − | 0.978934i | 0.252760 | − | 0.437793i | −0.711525 | − | 0.702661i | \(-0.751995\pi\) |
0.964285 | + | 0.264868i | \(0.0853285\pi\) | |||||||
\(6\) | −1.12936 | − | 2.17360i | −0.461061 | − | 0.887369i | ||||
\(7\) | −3.71499 | + | 2.14485i | −1.40413 | + | 0.810677i | −0.994814 | − | 0.101714i | \(-0.967567\pi\) |
−0.409320 | + | 0.912391i | \(0.634234\pi\) | |||||||
\(8\) | 2.18226 | + | 1.79937i | 0.771546 | + | 0.636174i | ||||
\(9\) | −0.456412 | + | 2.96508i | −0.152137 | + | 0.988359i | ||||
\(10\) | 1.09368 | − | 1.16591i | 0.345853 | − | 0.368695i | ||||
\(11\) | 1.00953 | − | 0.582853i | 0.304385 | − | 0.175737i | −0.340026 | − | 0.940416i | \(-0.610436\pi\) |
0.644411 | + | 0.764679i | \(0.277103\pi\) | |||||||
\(12\) | −0.854841 | − | 3.35697i | −0.246771 | − | 0.969074i | ||||
\(13\) | −2.64466 | − | 1.52689i | −0.733496 | − | 0.423484i | 0.0862038 | − | 0.996278i | \(-0.472526\pi\) |
−0.819700 | + | 0.572793i | \(0.805860\pi\) | |||||||
\(14\) | −5.80668 | + | 1.75656i | −1.55190 | + | 0.469461i | ||||
\(15\) | −1.92430 | + | 0.360979i | −0.496853 | + | 0.0932043i | ||||
\(16\) | 2.42528 | + | 3.18088i | 0.606320 | + | 0.795221i | ||||
\(17\) | − | 1.49654i | − | 0.362963i | −0.983394 | − | 0.181482i | \(-0.941911\pi\) | ||
0.983394 | − | 0.181482i | \(-0.0580893\pi\) | |||||||
\(18\) | −1.58382 | + | 3.93593i | −0.373309 | + | 0.927707i | ||||
\(19\) | −3.42378 | −0.785468 | −0.392734 | − | 0.919652i | \(-0.628471\pi\) | ||||
−0.392734 | + | 0.919652i | \(0.628471\pi\) | |||||||
\(20\) | 1.88167 | − | 1.25312i | 0.420755 | − | 0.280205i | ||||
\(21\) | 7.00918 | + | 2.46494i | 1.52953 | + | 0.537894i | ||||
\(22\) | 1.57794 | − | 0.477339i | 0.336418 | − | 0.101769i | ||||
\(23\) | 3.85938 | − | 6.68464i | 0.804736 | − | 1.39384i | −0.111733 | − | 0.993738i | \(-0.535640\pi\) |
0.916469 | − | 0.400106i | \(-0.131027\pi\) | |||||||
\(24\) | −0.0955437 | − | 4.89805i | −0.0195028 | − | 0.999810i | ||||
\(25\) | 1.86113 | + | 3.22356i | 0.372225 | + | 0.644713i | ||||
\(26\) | −3.14980 | − | 2.95466i | −0.617726 | − | 0.579456i | ||||
\(27\) | 4.41264 | − | 2.74383i | 0.849213 | − | 0.528050i | ||||
\(28\) | −8.56188 | + | 0.547960i | −1.61804 | + | 0.103555i | ||||
\(29\) | 0.709580 | + | 1.22903i | 0.131766 | + | 0.228225i | 0.924357 | − | 0.381528i | \(-0.124602\pi\) |
−0.792592 | + | 0.609753i | \(0.791269\pi\) | |||||||
\(30\) | −2.76611 | − | 0.122920i | −0.505021 | − | 0.0224421i | ||||
\(31\) | 4.66408 | + | 2.69281i | 0.837694 | + | 0.483643i | 0.856480 | − | 0.516181i | \(-0.172647\pi\) |
−0.0187859 | + | 0.999824i | \(0.505980\pi\) | |||||||
\(32\) | 2.31481 | + | 5.16156i | 0.409204 | + | 0.912443i | ||||
\(33\) | −1.90471 | − | 0.669837i | −0.331568 | − | 0.116604i | ||||
\(34\) | 0.482173 | − | 2.06077i | 0.0826920 | − | 0.353418i | ||||
\(35\) | 4.84897i | 0.819625i | ||||||||
\(36\) | −3.44908 | + | 4.90957i | −0.574846 | + | 0.818261i | ||||
\(37\) | − | 2.97201i | − | 0.488596i | −0.969700 | − | 0.244298i | \(-0.921443\pi\) | ||
0.969700 | − | 0.244298i | \(-0.0785575\pi\) | |||||||
\(38\) | −4.71462 | − | 1.10312i | −0.764812 | − | 0.178949i | ||||
\(39\) | 0.975209 | + | 5.19864i | 0.156158 | + | 0.832448i | ||||
\(40\) | 2.99485 | − | 1.11931i | 0.473528 | − | 0.176978i | ||||
\(41\) | −4.23339 | − | 2.44415i | −0.661144 | − | 0.381712i | 0.131569 | − | 0.991307i | \(-0.457999\pi\) |
−0.792713 | + | 0.609595i | \(0.791332\pi\) | |||||||
\(42\) | 8.85761 | + | 5.65258i | 1.36676 | + | 0.872213i | ||||
\(43\) | −1.74292 | − | 3.01882i | −0.265793 | − | 0.460366i | 0.701978 | − | 0.712198i | \(-0.252300\pi\) |
−0.967771 | + | 0.251832i | \(0.918967\pi\) | |||||||
\(44\) | 2.32665 | − | 0.148906i | 0.350756 | − | 0.0224484i | ||||
\(45\) | 2.64466 | + | 2.12262i | 0.394242 | + | 0.316422i | ||||
\(46\) | 7.46820 | − | 7.96144i | 1.10113 | − | 1.17385i | ||||
\(47\) | 1.77991 | + | 3.08289i | 0.259627 | + | 0.449686i | 0.966142 | − | 0.258011i | \(-0.0830672\pi\) |
−0.706515 | + | 0.707698i | \(0.749734\pi\) | |||||||
\(48\) | 1.44655 | − | 6.77551i | 0.208791 | − | 0.977960i | ||||
\(49\) | 5.70075 | − | 9.87399i | 0.814393 | − | 1.41057i | ||||
\(50\) | 1.52420 | + | 5.03856i | 0.215555 | + | 0.712560i | ||||
\(51\) | −1.96737 | + | 1.68770i | −0.275486 | + | 0.236326i | ||||
\(52\) | −3.38538 | − | 5.08347i | −0.469467 | − | 0.704951i | ||||
\(53\) | −11.2786 | −1.54923 | −0.774616 | − | 0.632432i | \(-0.782057\pi\) | ||||
−0.774616 | + | 0.632432i | \(0.782057\pi\) | |||||||
\(54\) | 6.96035 | − | 2.35659i | 0.947184 | − | 0.320692i | ||||
\(55\) | − | 1.31769i | − | 0.177677i | ||||||
\(56\) | −11.9665 | − | 2.00402i | −1.59908 | − | 0.267799i | ||||
\(57\) | 3.86113 | + | 4.50094i | 0.511419 | + | 0.596164i | ||||
\(58\) | 0.581124 | + | 1.92102i | 0.0763053 | + | 0.252243i | ||||
\(59\) | 7.50935 | + | 4.33553i | 0.977634 | + | 0.564437i | 0.901555 | − | 0.432664i | \(-0.142427\pi\) |
0.0760791 | + | 0.997102i | \(0.475760\pi\) | |||||||
\(60\) | −3.76940 | − | 1.06049i | −0.486627 | − | 0.136908i | ||||
\(61\) | 3.16057 | − | 1.82476i | 0.404670 | − | 0.233636i | −0.283827 | − | 0.958875i | \(-0.591604\pi\) |
0.688497 | + | 0.725239i | \(0.258271\pi\) | |||||||
\(62\) | 5.55494 | + | 5.21079i | 0.705478 | + | 0.661771i | ||||
\(63\) | −4.66408 | − | 11.9942i | −0.587619 | − | 1.51112i | ||||
\(64\) | 1.52453 | + | 7.85340i | 0.190566 | + | 0.981674i | ||||
\(65\) | −2.98946 | + | 1.72596i | −0.370796 | + | 0.214079i | ||||
\(66\) | −2.40702 | − | 1.53607i | −0.296283 | − | 0.189077i | ||||
\(67\) | −5.58255 | + | 9.66925i | −0.682017 | + | 1.18129i | 0.292348 | + | 0.956312i | \(0.405563\pi\) |
−0.974364 | + | 0.224975i | \(0.927770\pi\) | |||||||
\(68\) | 1.32793 | − | 2.68237i | 0.161035 | − | 0.325285i | ||||
\(69\) | −13.1401 | + | 2.46494i | −1.58188 | + | 0.296744i | ||||
\(70\) | −1.56230 | + | 6.67714i | −0.186731 | + | 0.798071i | ||||
\(71\) | −2.54954 | −0.302574 | −0.151287 | − | 0.988490i | \(-0.548342\pi\) | ||||
−0.151287 | + | 0.988490i | \(0.548342\pi\) | |||||||
\(72\) | −6.33129 | + | 5.64932i | −0.746149 | + | 0.665779i | ||||
\(73\) | −7.06491 | −0.826885 | −0.413442 | − | 0.910530i | \(-0.635674\pi\) | ||||
−0.413442 | + | 0.910530i | \(0.635674\pi\) | |||||||
\(74\) | 0.957560 | − | 4.09253i | 0.111314 | − | 0.475747i | ||||
\(75\) | 2.13887 | − | 6.08200i | 0.246976 | − | 0.702288i | ||||
\(76\) | −6.13672 | − | 3.03803i | −0.703930 | − | 0.348486i | ||||
\(77\) | −2.50026 | + | 4.33059i | −0.284932 | + | 0.493516i | ||||
\(78\) | −0.332078 | + | 7.47285i | −0.0376004 | + | 0.846133i | ||||
\(79\) | 2.24998 | − | 1.29902i | 0.253142 | − | 0.146152i | −0.368060 | − | 0.929802i | \(-0.619978\pi\) |
0.621202 | + | 0.783650i | \(0.286645\pi\) | |||||||
\(80\) | 4.48461 | − | 0.576391i | 0.501395 | − | 0.0644424i | ||||
\(81\) | −8.58338 | − | 2.70659i | −0.953709 | − | 0.300732i | ||||
\(82\) | −5.04198 | − | 4.72961i | −0.556794 | − | 0.522298i | ||||
\(83\) | −3.98482 | + | 2.30064i | −0.437391 | + | 0.252528i | −0.702490 | − | 0.711693i | \(-0.747929\pi\) |
0.265099 | + | 0.964221i | \(0.414595\pi\) | |||||||
\(84\) | 10.3759 | + | 10.6376i | 1.13211 | + | 1.16066i | ||||
\(85\) | −1.46501 | − | 0.845824i | −0.158903 | − | 0.0917425i | ||||
\(86\) | −1.42740 | − | 4.71855i | −0.153920 | − | 0.508814i | ||||
\(87\) | 0.815476 | − | 2.31885i | 0.0874282 | − | 0.248606i | ||||
\(88\) | 3.25183 | + | 0.544584i | 0.346646 | + | 0.0580529i | ||||
\(89\) | − | 8.63803i | − | 0.915630i | −0.889048 | − | 0.457815i | \(-0.848632\pi\) | ||
0.889048 | − | 0.457815i | \(-0.151368\pi\) | |||||||
\(90\) | 2.95786 | + | 3.77499i | 0.311786 | + | 0.397919i | ||||
\(91\) | 13.0998 | 1.37323 | ||||||||
\(92\) | 12.8490 | − | 8.55689i | 1.33960 | − | 0.892117i | ||||
\(93\) | −1.71986 | − | 9.16824i | −0.178342 | − | 0.950702i | ||||
\(94\) | 1.45769 | + | 4.81869i | 0.150349 | + | 0.497010i | ||||
\(95\) | −1.93508 | + | 3.35165i | −0.198535 | + | 0.343872i | ||||
\(96\) | 4.17495 | − | 8.86396i | 0.426104 | − | 0.904674i | ||||
\(97\) | 3.35869 | + | 5.81742i | 0.341023 | + | 0.590670i | 0.984623 | − | 0.174693i | \(-0.0558931\pi\) |
−0.643600 | + | 0.765362i | \(0.722560\pi\) | |||||||
\(98\) | 11.0314 | − | 11.7600i | 1.11434 | − | 1.18794i | ||||
\(99\) | 1.26744 | + | 3.25936i | 0.127383 | + | 0.327578i | ||||
\(100\) | 0.475475 | + | 7.42930i | 0.0475475 | + | 0.742930i | ||||
\(101\) | 6.86479 | + | 11.8902i | 0.683072 | + | 1.18312i | 0.974039 | + | 0.226382i | \(0.0726897\pi\) |
−0.290967 | + | 0.956733i | \(0.593977\pi\) | |||||||
\(102\) | −3.25287 | + | 1.69013i | −0.322082 | + | 0.167348i | ||||
\(103\) | 5.48137 | + | 3.16467i | 0.540095 | + | 0.311824i | 0.745118 | − | 0.666933i | \(-0.232393\pi\) |
−0.205022 | + | 0.978757i | \(0.565727\pi\) | |||||||
\(104\) | −3.02388 | − | 8.09080i | −0.296516 | − | 0.793368i | ||||
\(105\) | 6.37451 | − | 5.46837i | 0.622089 | − | 0.533658i | ||||
\(106\) | −15.5309 | − | 3.63388i | −1.50849 | − | 0.352953i | ||||
\(107\) | − | 10.4483i | − | 1.01007i | −0.863097 | − | 0.505037i | \(-0.831479\pi\) | ||
0.863097 | − | 0.505037i | \(-0.168521\pi\) | |||||||
\(108\) | 10.3438 | − | 1.00251i | 0.995336 | − | 0.0964665i | ||||
\(109\) | 9.67531i | 0.926727i | 0.886168 | + | 0.463364i | \(0.153358\pi\) | ||||
−0.886168 | + | 0.463364i | \(0.846642\pi\) | |||||||
\(110\) | 0.424549 | − | 1.81448i | 0.0404792 | − | 0.173004i | ||||
\(111\) | −3.90704 | + | 3.35165i | −0.370840 | + | 0.318125i | ||||
\(112\) | −15.8324 | − | 6.61509i | −1.49602 | − | 0.625067i | ||||
\(113\) | 7.15149 | + | 4.12891i | 0.672756 | + | 0.388416i | 0.797120 | − | 0.603821i | \(-0.206356\pi\) |
−0.124364 | + | 0.992237i | \(0.539689\pi\) | |||||||
\(114\) | 3.86669 | + | 7.44192i | 0.362149 | + | 0.697000i | ||||
\(115\) | −4.36255 | − | 7.55615i | −0.406810 | − | 0.704615i | ||||
\(116\) | 0.181281 | + | 2.83253i | 0.0168316 | + | 0.262993i | ||||
\(117\) | 5.73441 | − | 7.14472i | 0.530146 | − | 0.660530i | ||||
\(118\) | 8.94367 | + | 8.38958i | 0.823332 | + | 0.772323i | ||||
\(119\) | 3.20984 | + | 5.55961i | 0.294246 | + | 0.509649i | ||||
\(120\) | −4.84887 | − | 2.67479i | −0.442639 | − | 0.244173i | ||||
\(121\) | −4.82056 | + | 8.34946i | −0.438233 | + | 0.759042i | ||||
\(122\) | 4.94011 | − | 1.49442i | 0.447256 | − | 0.135298i | ||||
\(123\) | 1.56105 | + | 8.32162i | 0.140755 | + | 0.750335i | ||||
\(124\) | 5.97040 | + | 8.96514i | 0.536158 | + | 0.805093i | ||||
\(125\) | 9.85942 | 0.881853 | ||||||||
\(126\) | −2.55811 | − | 18.0190i | −0.227895 | − | 1.60526i | ||||
\(127\) | − | 2.78757i | − | 0.247357i | −0.992322 | − | 0.123678i | \(-0.960531\pi\) | ||
0.992322 | − | 0.123678i | \(-0.0394691\pi\) | |||||||
\(128\) | −0.431001 | + | 11.3055i | −0.0380955 | + | 0.999274i | ||||
\(129\) | −2.00303 | + | 5.69571i | −0.176357 | + | 0.501479i | ||||
\(130\) | −4.67264 | + | 1.41351i | −0.409818 | + | 0.123973i | ||||
\(131\) | −13.0529 | − | 7.53612i | −1.14044 | − | 0.658434i | −0.193901 | − | 0.981021i | \(-0.562114\pi\) |
−0.946540 | + | 0.322587i | \(0.895447\pi\) | |||||||
\(132\) | −2.81961 | − | 2.89072i | −0.245416 | − | 0.251605i | ||||
\(133\) | 12.7193 | − | 7.34348i | 1.10290 | − | 0.636761i | ||||
\(134\) | −10.8027 | + | 11.5161i | −0.933207 | + | 0.994842i | ||||
\(135\) | −0.192056 | − | 5.87046i | −0.0165295 | − | 0.505249i | ||||
\(136\) | 2.69283 | − | 3.26583i | 0.230908 | − | 0.280043i | ||||
\(137\) | 7.55211 | − | 4.36021i | 0.645220 | − | 0.372518i | −0.141402 | − | 0.989952i | \(-0.545161\pi\) |
0.786623 | + | 0.617434i | \(0.211828\pi\) | |||||||
\(138\) | −18.8884 | − | 0.839361i | −1.60789 | − | 0.0714512i | ||||
\(139\) | 1.18897 | − | 2.05935i | 0.100847 | − | 0.174672i | −0.811187 | − | 0.584787i | \(-0.801178\pi\) |
0.912034 | + | 0.410115i | \(0.134511\pi\) | |||||||
\(140\) | −4.30265 | + | 8.69121i | −0.363641 | + | 0.734542i | ||||
\(141\) | 2.04554 | − | 5.81659i | 0.172265 | − | 0.489845i | ||||
\(142\) | −3.51077 | − | 0.821442i | −0.294617 | − | 0.0689339i | ||||
\(143\) | −3.55982 | −0.297687 | ||||||||
\(144\) | −10.5385 | + | 5.73935i | −0.878208 | + | 0.478279i | ||||
\(145\) | 1.60418 | 0.133220 | ||||||||
\(146\) | −9.72854 | − | 2.27626i | −0.805139 | − | 0.188385i | ||||
\(147\) | −19.4094 | + | 3.64100i | −1.60086 | + | 0.300305i | ||||
\(148\) | 2.63717 | − | 5.32698i | 0.216774 | − | 0.437875i | ||||
\(149\) | 8.94426 | − | 15.4919i | 0.732742 | − | 1.26915i | −0.222965 | − | 0.974826i | \(-0.571574\pi\) |
0.955707 | − | 0.294320i | \(-0.0950931\pi\) | |||||||
\(150\) | 4.90485 | − | 7.68592i | 0.400480 | − | 0.627553i | ||||
\(151\) | −2.39162 | + | 1.38080i | −0.194627 | + | 0.112368i | −0.594147 | − | 0.804357i | \(-0.702510\pi\) |
0.399520 | + | 0.916725i | \(0.369177\pi\) | |||||||
\(152\) | −7.47158 | − | 6.16065i | −0.606025 | − | 0.499694i | ||||
\(153\) | 4.43735 | + | 0.683037i | 0.358738 | + | 0.0552202i | ||||
\(154\) | −4.83820 | + | 5.15775i | −0.389874 | + | 0.415623i | ||||
\(155\) | 5.27216 | − | 3.04388i | 0.423470 | − | 0.244491i | ||||
\(156\) | −2.86498 | + | 10.1833i | −0.229382 | + | 0.815315i | ||||
\(157\) | −2.21148 | − | 1.27680i | −0.176495 | − | 0.101900i | 0.409150 | − | 0.912467i | \(-0.365825\pi\) |
−0.585645 | + | 0.810568i | \(0.699159\pi\) | |||||||
\(158\) | 3.51681 | − | 1.06386i | 0.279782 | − | 0.0846362i | ||||
\(159\) | 12.7193 | + | 14.8270i | 1.00871 | + | 1.17585i | ||||
\(160\) | 6.36112 | + | 0.651206i | 0.502891 | + | 0.0514824i | ||||
\(161\) | 33.1111i | 2.60952i | ||||||||
\(162\) | −10.9475 | − | 6.49254i | −0.860114 | − | 0.510102i | ||||
\(163\) | 6.93355 | 0.543077 | 0.271539 | − | 0.962428i | \(-0.412468\pi\) | ||||
0.271539 | + | 0.962428i | \(0.412468\pi\) | |||||||
\(164\) | −5.41908 | − | 8.13728i | −0.423159 | − | 0.635414i | ||||
\(165\) | −1.73225 | + | 1.48601i | −0.134855 | + | 0.115685i | ||||
\(166\) | −6.22844 | + | 1.88415i | −0.483421 | + | 0.146239i | ||||
\(167\) | −8.36829 | + | 14.4943i | −0.647558 | + | 1.12160i | 0.336146 | + | 0.941810i | \(0.390876\pi\) |
−0.983704 | + | 0.179794i | \(0.942457\pi\) | |||||||
\(168\) | 10.8605 | + | 17.9913i | 0.837907 | + | 1.38806i | ||||
\(169\) | −1.83719 | − | 3.18211i | −0.141322 | − | 0.244778i | ||||
\(170\) | −1.74483 | − | 1.63673i | −0.133823 | − | 0.125532i | ||||
\(171\) | 1.56265 | − | 10.1518i | 0.119499 | − | 0.776325i | ||||
\(172\) | −0.445276 | − | 6.95744i | −0.0339520 | − | 0.530500i | ||||
\(173\) | −10.2190 | − | 17.6999i | −0.776938 | − | 1.34570i | −0.933699 | − | 0.358059i | \(-0.883438\pi\) |
0.156761 | − | 0.987637i | \(-0.449895\pi\) | |||||||
\(174\) | 1.87004 | − | 2.93036i | 0.141768 | − | 0.222150i | ||||
\(175\) | −13.8281 | − | 7.98367i | −1.04531 | − | 0.603508i | ||||
\(176\) | 4.30238 | + | 1.79762i | 0.324304 | + | 0.135501i | ||||
\(177\) | −2.76905 | − | 14.7612i | −0.208134 | − | 1.10952i | ||||
\(178\) | 2.78311 | − | 11.8948i | 0.208603 | − | 0.891550i | ||||
\(179\) | 4.07982i | 0.304940i | 0.988308 | + | 0.152470i | \(0.0487227\pi\) | ||||
−0.988308 | + | 0.152470i | \(0.951277\pi\) | |||||||
\(180\) | 2.85677 | + | 6.15125i | 0.212931 | + | 0.458487i | ||||
\(181\) | 22.3226i | 1.65923i | 0.558337 | + | 0.829614i | \(0.311440\pi\) | ||||
−0.558337 | + | 0.829614i | \(0.688560\pi\) | |||||||
\(182\) | 18.0388 | + | 4.22067i | 1.33712 | + | 0.312857i | ||||
\(183\) | −5.96315 | − | 2.09708i | −0.440809 | − | 0.155021i | ||||
\(184\) | 20.4503 | − | 7.64317i | 1.50762 | − | 0.563462i | ||||
\(185\) | −2.90940 | − | 1.67974i | −0.213904 | − | 0.123497i | ||||
\(186\) | 0.585648 | − | 13.1790i | 0.0429418 | − | 0.966332i | ||||
\(187\) | −0.872261 | − | 1.51080i | −0.0637861 | − | 0.110481i | ||||
\(188\) | 0.454726 | + | 7.10510i | 0.0331643 | + | 0.518193i | ||||
\(189\) | −10.5078 | + | 19.6577i | −0.764331 | + | 1.42989i | ||||
\(190\) | −3.74452 | + | 3.99183i | −0.271656 | + | 0.289598i | ||||
\(191\) | −7.27481 | − | 12.6003i | −0.526387 | − | 0.911728i | −0.999527 | − | 0.0307415i | \(-0.990213\pi\) |
0.473141 | − | 0.880987i | \(-0.343120\pi\) | |||||||
\(192\) | 8.60491 | − | 10.8607i | 0.621006 | − | 0.783806i | ||||
\(193\) | 2.19526 | − | 3.80230i | 0.158018 | − | 0.273696i | −0.776136 | − | 0.630566i | \(-0.782823\pi\) |
0.934154 | + | 0.356870i | \(0.116156\pi\) | |||||||
\(194\) | 2.75066 | + | 9.09287i | 0.197486 | + | 0.652830i | ||||
\(195\) | 5.64030 | + | 1.98354i | 0.403910 | + | 0.142044i | ||||
\(196\) | 18.9795 | − | 12.6395i | 1.35568 | − | 0.902823i | ||||
\(197\) | 7.69721 | 0.548404 | 0.274202 | − | 0.961672i | \(-0.411586\pi\) | ||||
0.274202 | + | 0.961672i | \(0.411586\pi\) | |||||||
\(198\) | 0.695157 | + | 4.89658i | 0.0494026 | + | 0.347985i | ||||
\(199\) | − | 20.9790i | − | 1.48716i | −0.668646 | − | 0.743580i | \(-0.733126\pi\) | ||
0.668646 | − | 0.743580i | \(-0.266874\pi\) | |||||||
\(200\) | −1.73893 | + | 10.3835i | −0.122961 | + | 0.734225i | ||||
\(201\) | 19.0070 | − | 3.56551i | 1.34065 | − | 0.251491i | ||||
\(202\) | 5.62204 | + | 18.5848i | 0.395566 | + | 1.30762i | ||||
\(203\) | −5.27216 | − | 3.04388i | −0.370033 | − | 0.213639i | ||||
\(204\) | −5.02383 | + | 1.27930i | −0.351738 | + | 0.0895689i | ||||
\(205\) | −4.78532 | + | 2.76280i | −0.334221 | + | 0.192963i | ||||
\(206\) | 6.52834 | + | 6.12388i | 0.454851 | + | 0.426671i | ||||
\(207\) | 18.0590 | + | 14.4943i | 1.25519 | + | 1.00742i | ||||
\(208\) | −1.55716 | − | 12.1155i | −0.107970 | − | 0.840058i | ||||
\(209\) | −3.45641 | + | 1.99556i | −0.239085 | + | 0.138036i | ||||
\(210\) | 10.5397 | − | 5.47625i | 0.727310 | − | 0.377897i | ||||
\(211\) | 2.38482 | − | 4.13063i | 0.164178 | − | 0.284364i | −0.772185 | − | 0.635397i | \(-0.780836\pi\) |
0.936363 | + | 0.351033i | \(0.114170\pi\) | |||||||
\(212\) | −20.2155 | − | 10.0079i | −1.38841 | − | 0.687343i | ||||
\(213\) | 2.87521 | + | 3.35165i | 0.197006 | + | 0.229651i | ||||
\(214\) | 3.36636 | − | 14.3875i | 0.230120 | − | 0.983512i | ||||
\(215\) | −3.94031 | −0.268727 | ||||||||
\(216\) | 14.5667 | + | 1.95223i | 0.991138 | + | 0.132833i | ||||
\(217\) | −23.1027 | −1.56831 | ||||||||
\(218\) | −3.11732 | + | 13.3231i | −0.211131 | + | 0.902356i | ||||
\(219\) | 7.96737 | + | 9.28761i | 0.538385 | + | 0.627599i | ||||
\(220\) | 1.16923 | − | 2.36180i | 0.0788293 | − | 0.159232i | ||||
\(221\) | −2.28505 | + | 3.95783i | −0.153709 | + | 0.266232i | ||||
\(222\) | −6.45997 | + | 3.35648i | −0.433564 | + | 0.225272i | ||||
\(223\) | −12.5272 | + | 7.23260i | −0.838886 | + | 0.484331i | −0.856885 | − | 0.515507i | \(-0.827604\pi\) |
0.0179997 | + | 0.999838i | \(0.494270\pi\) | |||||||
\(224\) | −19.6702 | − | 14.2102i | −1.31427 | − | 0.949459i | ||||
\(225\) | −10.4076 | + | 4.04711i | −0.693837 | + | 0.269807i | ||||
\(226\) | 8.51746 | + | 7.98977i | 0.566573 | + | 0.531471i | ||||
\(227\) | 0.561821 | − | 0.324367i | 0.0372894 | − | 0.0215290i | −0.481239 | − | 0.876589i | \(-0.659813\pi\) |
0.518529 | + | 0.855060i | \(0.326480\pi\) | |||||||
\(228\) | 2.92678 | + | 11.4935i | 0.193831 | + | 0.761177i | ||||
\(229\) | −12.0007 | − | 6.92863i | −0.793032 | − | 0.457857i | 0.0479971 | − | 0.998847i | \(-0.484716\pi\) |
−0.841029 | + | 0.540990i | \(0.818050\pi\) | |||||||
\(230\) | −3.57279 | − | 11.8106i | −0.235583 | − | 0.778767i | ||||
\(231\) | 8.51269 | − | 1.59689i | 0.560094 | − | 0.105068i | ||||
\(232\) | −0.662990 | + | 3.95886i | −0.0435275 | + | 0.259912i | ||||
\(233\) | − | 23.1276i | − | 1.51514i | −0.652755 | − | 0.757569i | \(-0.726387\pi\) | ||
0.652755 | − | 0.757569i | \(-0.273613\pi\) | |||||||
\(234\) | 10.1984 | − | 7.99086i | 0.666690 | − | 0.522379i | ||||
\(235\) | 4.02393 | 0.262492 | ||||||||
\(236\) | 9.61258 | + | 14.4342i | 0.625726 | + | 0.939588i | ||||
\(237\) | −4.24510 | − | 1.49289i | −0.275749 | − | 0.0969734i | ||||
\(238\) | 2.62876 | + | 8.68990i | 0.170397 | + | 0.563283i | ||||
\(239\) | 7.44075 | − | 12.8878i | 0.481302 | − | 0.833640i | −0.518468 | − | 0.855097i | \(-0.673497\pi\) |
0.999770 | + | 0.0214576i | \(0.00683070\pi\) | |||||||
\(240\) | −5.81520 | − | 5.24551i | −0.375370 | − | 0.338596i | ||||
\(241\) | −5.87960 | − | 10.1838i | −0.378738 | − | 0.655994i | 0.612141 | − | 0.790749i | \(-0.290309\pi\) |
−0.990879 | + | 0.134755i | \(0.956975\pi\) | |||||||
\(242\) | −9.32816 | + | 9.94425i | −0.599637 | + | 0.639241i | ||||
\(243\) | 6.12169 | + | 14.3361i | 0.392706 | + | 0.919664i | ||||
\(244\) | 7.28413 | − | 0.466184i | 0.466319 | − | 0.0298444i | ||||
\(245\) | −6.44399 | − | 11.1613i | −0.411691 | − | 0.713071i | ||||
\(246\) | −0.531568 | + | 11.9620i | −0.0338915 | + | 0.762671i | ||||
\(247\) | 9.05472 | + | 5.22774i | 0.576138 | + | 0.332633i | ||||
\(248\) | 5.33288 | + | 14.2688i | 0.338638 | + | 0.906071i | ||||
\(249\) | 7.51829 | + | 2.64398i | 0.476452 | + | 0.167555i | ||||
\(250\) | 13.5766 | + | 3.17663i | 0.858662 | + | 0.200908i | ||||
\(251\) | − | 5.51619i | − | 0.348179i | −0.984730 | − | 0.174089i | \(-0.944302\pi\) | ||
0.984730 | − | 0.174089i | \(-0.0556981\pi\) | |||||||
\(252\) | 2.28300 | − | 25.6367i | 0.143815 | − | 1.61496i | ||||
\(253\) | − | 8.99781i | − | 0.565687i | ||||||
\(254\) | 0.898134 | − | 3.83854i | 0.0563539 | − | 0.240852i | ||||
\(255\) | 0.540218 | + | 2.87979i | 0.0338298 | + | 0.180339i | ||||
\(256\) | −4.23605 | + | 15.4291i | −0.264753 | + | 0.964316i | ||||
\(257\) | 16.9194 | + | 9.76841i | 1.05540 | + | 0.609337i | 0.924157 | − | 0.382013i | \(-0.124769\pi\) |
0.131245 | + | 0.991350i | \(0.458102\pi\) | |||||||
\(258\) | −4.59333 | + | 7.19776i | −0.285968 | + | 0.448113i | ||||
\(259\) | 6.37451 | + | 11.0410i | 0.396093 | + | 0.686053i | ||||
\(260\) | −6.88976 | + | 0.440944i | −0.427285 | + | 0.0273462i | ||||
\(261\) | −3.96803 | + | 1.54302i | −0.245615 | + | 0.0955104i | ||||
\(262\) | −15.5461 | − | 14.5830i | −0.960442 | − | 0.900939i | ||||
\(263\) | −5.62576 | − | 9.74411i | −0.346899 | − | 0.600847i | 0.638798 | − | 0.769375i | \(-0.279432\pi\) |
−0.985697 | + | 0.168527i | \(0.946099\pi\) | |||||||
\(264\) | −2.95130 | − | 4.88905i | −0.181640 | − | 0.300900i | ||||
\(265\) | −6.37451 | + | 11.0410i | −0.391583 | + | 0.678242i | ||||
\(266\) | 19.8808 | − | 6.01408i | 1.21897 | − | 0.368747i | ||||
\(267\) | −11.3557 | + | 9.74144i | −0.694955 | + | 0.596167i | ||||
\(268\) | −18.5859 | + | 12.3774i | −1.13532 | + | 0.756072i | ||||
\(269\) | 14.1600 | 0.863350 | 0.431675 | − | 0.902029i | \(-0.357923\pi\) | ||||
0.431675 | + | 0.902029i | \(0.357923\pi\) | |||||||
\(270\) | 1.62696 | − | 8.14564i | 0.0990133 | − | 0.495728i | ||||
\(271\) | 3.91574i | 0.237864i | 0.992902 | + | 0.118932i | \(0.0379471\pi\) | ||||
−0.992902 | + | 0.118932i | \(0.962053\pi\) | |||||||
\(272\) | 4.76031 | − | 3.62952i | 0.288636 | − | 0.220072i | ||||
\(273\) | −14.7732 | − | 17.2212i | −0.894113 | − | 1.04227i | ||||
\(274\) | 11.8043 | − | 3.57088i | 0.713121 | − | 0.215725i | ||||
\(275\) | 3.75773 | + | 2.16953i | 0.226600 | + | 0.130827i | ||||
\(276\) | −25.7393 | − | 7.24152i | −1.54932 | − | 0.435888i | ||||
\(277\) | −22.9537 | + | 13.2523i | −1.37915 | + | 0.796253i | −0.992057 | − | 0.125787i | \(-0.959854\pi\) |
−0.387094 | + | 0.922040i | \(0.626521\pi\) | |||||||
\(278\) | 2.30074 | − | 2.45270i | 0.137989 | − | 0.147103i | ||||
\(279\) | −10.1131 | + | 12.6003i | −0.605457 | + | 0.754362i | ||||
\(280\) | −8.72510 | + | 10.5817i | −0.521424 | + | 0.632378i | ||||
\(281\) | −0.923368 | + | 0.533106i | −0.0550835 | + | 0.0318025i | −0.527289 | − | 0.849686i | \(-0.676791\pi\) |
0.472205 | + | 0.881489i | \(0.343458\pi\) | |||||||
\(282\) | 4.69082 | − | 7.35052i | 0.279334 | − | 0.437717i | ||||
\(283\) | 1.77840 | − | 3.08028i | 0.105715 | − | 0.183103i | −0.808315 | − | 0.588750i | \(-0.799620\pi\) |
0.914030 | + | 0.405647i | \(0.132954\pi\) | |||||||
\(284\) | −4.56975 | − | 2.26229i | −0.271165 | − | 0.134242i | ||||
\(285\) | 6.58838 | − | 1.23591i | 0.390262 | − | 0.0732090i | ||||
\(286\) | −4.90195 | − | 1.14695i | −0.289859 | − | 0.0678205i | ||||
\(287\) | 20.9693 | 1.23778 | ||||||||
\(288\) | −16.3609 | + | 4.50779i | −0.964077 | + | 0.265624i | ||||
\(289\) | 14.7604 | 0.868258 | ||||||||
\(290\) | 2.20900 | + | 0.516856i | 0.129717 | + | 0.0303509i | ||||
\(291\) | 3.85993 | − | 10.9759i | 0.226273 | − | 0.643419i | ||||
\(292\) | −12.6630 | − | 6.26893i | −0.741047 | − | 0.366861i | ||||
\(293\) | −7.78958 | + | 13.4919i | −0.455072 | + | 0.788208i | −0.998692 | − | 0.0511233i | \(-0.983720\pi\) |
0.543620 | + | 0.839331i | \(0.317053\pi\) | |||||||
\(294\) | −27.9003 | − | 1.23983i | −1.62718 | − | 0.0723086i | ||||
\(295\) | 8.48839 | − | 4.90077i | 0.494213 | − | 0.285334i | ||||
\(296\) | 5.34775 | − | 6.48570i | 0.310832 | − | 0.376974i | ||||
\(297\) | 2.85545 | − | 5.34190i | 0.165690 | − | 0.309969i | ||||
\(298\) | 17.3078 | − | 18.4509i | 1.00262 | − | 1.06883i | ||||
\(299\) | −20.4135 | + | 11.7857i | −1.18054 | + | 0.681586i | ||||
\(300\) | 9.23044 | − | 9.00338i | 0.532920 | − | 0.519810i | ||||
\(301\) | 12.9498 | + | 7.47659i | 0.746416 | + | 0.430944i | ||||
\(302\) | −3.73819 | + | 1.13083i | −0.215109 | + | 0.0650721i | ||||
\(303\) | 7.88927 | − | 22.4335i | 0.453227 | − | 1.28877i | ||||
\(304\) | −8.30361 | − | 10.8906i | −0.476245 | − | 0.624621i | ||||
\(305\) | − | 4.12532i | − | 0.236215i | ||||||
\(306\) | 5.89026 | + | 2.37024i | 0.336724 | + | 0.135498i | ||||
\(307\) | −0.960690 | −0.0548295 | −0.0274147 | − | 0.999624i | \(-0.508727\pi\) | ||||
−0.0274147 | + | 0.999624i | \(0.508727\pi\) | |||||||
\(308\) | −8.32411 | + | 5.54350i | −0.474310 | + | 0.315870i | ||||
\(309\) | −2.02124 | − | 10.7748i | −0.114984 | − | 0.612957i | ||||
\(310\) | 8.24061 | − | 2.49285i | 0.468035 | − | 0.141584i | ||||
\(311\) | −4.49539 | + | 7.78624i | −0.254910 | + | 0.441517i | −0.964871 | − | 0.262724i | \(-0.915379\pi\) |
0.709961 | + | 0.704241i | \(0.248713\pi\) | |||||||
\(312\) | −7.22612 | + | 13.0995i | −0.409098 | + | 0.741616i | ||||
\(313\) | 8.55885 | + | 14.8244i | 0.483775 | + | 0.837923i | 0.999826 | − | 0.0186349i | \(-0.00593201\pi\) |
−0.516051 | + | 0.856558i | \(0.672599\pi\) | |||||||
\(314\) | −2.63388 | − | 2.47070i | −0.148639 | − | 0.139430i | ||||
\(315\) | −14.3776 | − | 2.21313i | −0.810084 | − | 0.124696i | ||||
\(316\) | 5.18549 | − | 0.331871i | 0.291707 | − | 0.0186692i | ||||
\(317\) | 3.96528 | + | 6.86806i | 0.222712 | + | 0.385749i | 0.955631 | − | 0.294568i | \(-0.0951757\pi\) |
−0.732919 | + | 0.680316i | \(0.761842\pi\) | |||||||
\(318\) | 12.7376 | + | 24.5151i | 0.714290 | + | 1.37474i | ||||
\(319\) | 1.43269 | + | 0.827162i | 0.0802151 | + | 0.0463122i | ||||
\(320\) | 8.54960 | + | 2.94623i | 0.477937 | + | 0.164699i | ||||
\(321\) | −13.7355 | + | 11.7829i | −0.766639 | + | 0.657660i | ||||
\(322\) | −10.6682 | + | 45.5948i | −0.594514 | + | 2.54090i | ||||
\(323\) | 5.12381i | 0.285096i | ||||||||
\(324\) | −12.9831 | − | 12.4676i | −0.721281 | − | 0.692643i | ||||
\(325\) | − | 11.3670i | − | 0.630526i | ||||||
\(326\) | 9.54765 | + | 2.23394i | 0.528796 | + | 0.123726i | ||||
\(327\) | 12.7193 | − | 10.9112i | 0.703378 | − | 0.603392i | ||||
\(328\) | −4.84043 | − | 12.9512i | −0.267268 | − | 0.715111i | ||||
\(329\) | −13.2247 | − | 7.63528i | −0.729101 | − | 0.420946i | ||||
\(330\) | −2.86412 | + | 1.48815i | −0.157665 | + | 0.0819198i | ||||
\(331\) | 4.78348 | + | 8.28523i | 0.262924 | + | 0.455397i | 0.967018 | − | 0.254710i | \(-0.0819799\pi\) |
−0.704094 | + | 0.710107i | \(0.748647\pi\) | |||||||
\(332\) | −9.18377 | + | 0.587761i | −0.504025 | + | 0.0322576i | ||||
\(333\) | 8.81225 | + | 1.35646i | 0.482908 | + | 0.0743336i | ||||
\(334\) | −16.1933 | + | 17.2628i | −0.886058 | + | 0.944578i | ||||
\(335\) | 6.31037 | + | 10.9299i | 0.344773 | + | 0.597164i | ||||
\(336\) | 9.15853 | + | 28.2736i | 0.499639 | + | 1.54245i | ||||
\(337\) | 17.0727 | − | 29.5707i | 0.930007 | − | 1.61082i | 0.146702 | − | 0.989181i | \(-0.453134\pi\) |
0.783305 | − | 0.621638i | \(-0.213532\pi\) | |||||||
\(338\) | −1.50460 | − | 4.97377i | −0.0818396 | − | 0.270537i | ||||
\(339\) | −2.63709 | − | 14.0578i | −0.143227 | − | 0.763514i | ||||
\(340\) | −1.87533 | − | 2.81599i | −0.101704 | − | 0.152719i | ||||
\(341\) | 6.27805 | 0.339975 | ||||||||
\(342\) | 5.42263 | − | 13.4757i | 0.293222 | − | 0.728685i | ||||
\(343\) | 18.8811i | 1.01949i | ||||||||
\(344\) | 1.62848 | − | 9.72402i | 0.0878019 | − | 0.524284i | ||||
\(345\) | −5.01360 | + | 14.2564i | −0.269923 | + | 0.767540i | ||||
\(346\) | −8.36906 | − | 27.6656i | −0.449923 | − | 1.48731i | ||||
\(347\) | 20.9431 | + | 12.0915i | 1.12428 | + | 0.649105i | 0.942491 | − | 0.334232i | \(-0.108477\pi\) |
0.181792 | + | 0.983337i | \(0.441810\pi\) | |||||||
\(348\) | 3.51924 | − | 3.43266i | 0.188651 | − | 0.184010i | ||||
\(349\) | 9.71845 | − | 5.61095i | 0.520217 | − | 0.300347i | −0.216807 | − | 0.976215i | \(-0.569564\pi\) |
0.737023 | + | 0.675867i | \(0.236231\pi\) | |||||||
\(350\) | −16.4694 | − | 15.4490i | −0.880324 | − | 0.825784i | ||||
\(351\) | −15.8595 | + | 0.518852i | −0.846515 | + | 0.0276943i | ||||
\(352\) | 5.34530 | + | 3.86156i | 0.284906 | + | 0.205822i | ||||
\(353\) | −5.85176 | + | 3.37852i | −0.311458 | + | 0.179820i | −0.647579 | − | 0.761999i | \(-0.724218\pi\) |
0.336121 | + | 0.941819i | \(0.390885\pi\) | |||||||
\(354\) | 0.942916 | − | 21.2187i | 0.0501154 | − | 1.12776i | ||||
\(355\) | −1.44097 | + | 2.49583i | −0.0764786 | + | 0.132465i | ||||
\(356\) | 7.66481 | − | 15.4827i | 0.406234 | − | 0.820580i | ||||
\(357\) | 3.68887 | − | 10.4895i | 0.195236 | − | 0.555163i | ||||
\(358\) | −1.31449 | + | 5.61800i | −0.0694728 | + | 0.296921i | ||||
\(359\) | 20.3395 | 1.07348 | 0.536739 | − | 0.843748i | \(-0.319656\pi\) | ||||
0.536739 | + | 0.843748i | \(0.319656\pi\) | |||||||
\(360\) | 1.95195 | + | 9.39084i | 0.102877 | + | 0.494941i | ||||
\(361\) | −7.27775 | −0.383039 | ||||||||
\(362\) | −7.19219 | + | 30.7388i | −0.378013 | + | 1.61559i | ||||
\(363\) | 16.4126 | − | 3.07884i | 0.861440 | − | 0.161597i | ||||
\(364\) | 23.4799 | + | 11.6239i | 1.23068 | + | 0.609259i | ||||
\(365\) | −3.99300 | + | 6.91608i | −0.209003 | + | 0.362004i | ||||
\(366\) | −7.53573 | − | 4.80901i | −0.393899 | − | 0.251371i | ||||
\(367\) | 11.7198 | − | 6.76642i | 0.611767 | − | 0.353204i | −0.161889 | − | 0.986809i | \(-0.551759\pi\) |
0.773657 | + | 0.633605i | \(0.218425\pi\) | |||||||
\(368\) | 30.6231 | − | 3.93588i | 1.59634 | − | 0.205172i | ||||
\(369\) | 9.17925 | − | 11.4368i | 0.477853 | − | 0.595375i | ||||
\(370\) | −3.46511 | − | 3.25043i | −0.180143 | − | 0.168982i | ||||
\(371\) | 41.8998 | − | 24.1908i | 2.17533 | − | 1.25593i | ||||
\(372\) | 5.05263 | − | 17.9591i | 0.261967 | − | 0.931136i | ||||
\(373\) | 23.0364 | + | 13.3001i | 1.19278 | + | 0.688651i | 0.958936 | − | 0.283623i | \(-0.0915364\pi\) |
0.233843 | + | 0.972274i | \(0.424870\pi\) | |||||||
\(374\) | −0.714355 | − | 2.36144i | −0.0369384 | − | 0.122107i | ||||
\(375\) | −11.1188 | − | 12.9613i | −0.574175 | − | 0.669319i | ||||
\(376\) | −1.66304 | + | 9.93040i | −0.0857650 | + | 0.512121i | ||||
\(377\) | − | 4.33381i | − | 0.223203i | ||||||
\(378\) | −20.8031 | + | 23.6836i | −1.06999 | + | 1.21815i | ||||
\(379\) | −28.5030 | −1.46410 | −0.732050 | − | 0.681251i | \(-0.761436\pi\) | ||||
−0.732050 | + | 0.681251i | \(0.761436\pi\) | |||||||
\(380\) | −6.44243 | + | 4.29039i | −0.330490 | + | 0.220092i | ||||
\(381\) | −3.66457 | + | 3.14365i | −0.187742 | + | 0.161054i | ||||
\(382\) | −5.95784 | − | 19.6948i | −0.304830 | − | 1.00768i | ||||
\(383\) | −10.0515 | + | 17.4097i | −0.513606 | + | 0.889592i | 0.486269 | + | 0.873809i | \(0.338357\pi\) |
−0.999875 | + | 0.0157832i | \(0.994976\pi\) | |||||||
\(384\) | 15.3484 | − | 12.1830i | 0.783245 | − | 0.621713i | ||||
\(385\) | 2.82624 | + | 4.89519i | 0.144038 | + | 0.249482i | ||||
\(386\) | 4.24800 | − | 4.52856i | 0.216217 | − | 0.230498i | ||||
\(387\) | 9.74654 | − | 3.79006i | 0.495444 | − | 0.192660i | ||||
\(388\) | 0.858068 | + | 13.4073i | 0.0435618 | + | 0.680654i | ||||
\(389\) | −1.08110 | − | 1.87253i | −0.0548142 | − | 0.0949409i | 0.837316 | − | 0.546719i | \(-0.184123\pi\) |
−0.892130 | + | 0.451778i | \(0.850790\pi\) | |||||||
\(390\) | 7.12774 | + | 4.54864i | 0.360927 | + | 0.230330i | ||||
\(391\) | −10.0038 | − | 5.77570i | −0.505914 | − | 0.292090i | ||||
\(392\) | 30.2075 | − | 11.2899i | 1.52571 | − | 0.570224i | ||||
\(393\) | 4.81323 | + | 25.6583i | 0.242795 | + | 1.29429i | ||||
\(394\) | 10.5992 | + | 2.47999i | 0.533982 | + | 0.124940i | ||||
\(395\) | − | 2.93677i | − | 0.147765i | ||||||
\(396\) | −0.620395 | + | 6.96667i | −0.0311760 | + | 0.350088i | ||||
\(397\) | − | 18.8504i | − | 0.946076i | −0.881042 | − | 0.473038i | \(-0.843157\pi\) | ||
0.881042 | − | 0.473038i | \(-0.156843\pi\) | |||||||
\(398\) | 6.75928 | − | 28.8885i | 0.338812 | − | 1.44805i | ||||
\(399\) | −23.9979 | − | 8.43940i | −1.20140 | − | 0.422499i | ||||
\(400\) | −5.74004 | + | 13.7381i | −0.287002 | + | 0.686903i | ||||
\(401\) | −15.0668 | − | 8.69883i | −0.752401 | − | 0.434399i | 0.0741601 | − | 0.997246i | \(-0.476372\pi\) |
−0.826561 | + | 0.562848i | \(0.809706\pi\) | |||||||
\(402\) | 27.3218 | + | 1.21413i | 1.36269 | + | 0.0605551i | ||||
\(403\) | −8.22326 | − | 14.2431i | −0.409630 | − | 0.709500i | ||||
\(404\) | 1.75380 | + | 27.4031i | 0.0872546 | + | 1.36335i | ||||
\(405\) | −7.50079 | + | 6.87283i | −0.372717 | + | 0.341513i | ||||
\(406\) | −6.27917 | − | 5.89015i | −0.311630 | − | 0.292323i | ||||
\(407\) | −1.73225 | − | 3.00034i | −0.0858643 | − | 0.148721i | ||||
\(408\) | −7.33011 | + | 0.142985i | −0.362894 | + | 0.00707879i | ||||
\(409\) | −10.2872 | + | 17.8179i | −0.508667 | + | 0.881037i | 0.491282 | + | 0.871000i | \(0.336528\pi\) |
−0.999950 | + | 0.0100370i | \(0.996805\pi\) | |||||||
\(410\) | −7.47965 | + | 2.26265i | −0.369393 | + | 0.111744i | ||||
\(411\) | −14.2488 | − | 5.01092i | −0.702841 | − | 0.247170i | ||||
\(412\) | 7.01660 | + | 10.5361i | 0.345683 | + | 0.519077i | ||||
\(413\) | −37.1962 | −1.83030 | ||||||||
\(414\) | 20.1977 | + | 25.7775i | 0.992664 | + | 1.26689i | ||||
\(415\) | 5.20117i | 0.255316i | ||||||||
\(416\) | 1.75928 | − | 17.1850i | 0.0862557 | − | 0.842565i | ||||
\(417\) | −4.04810 | + | 0.759379i | −0.198236 | + | 0.0371870i | ||||
\(418\) | −5.40251 | + | 1.63430i | −0.264246 | + | 0.0799363i | ||||
\(419\) | −24.1959 | − | 13.9695i | −1.18205 | − | 0.682455i | −0.225560 | − | 0.974229i | \(-0.572421\pi\) |
−0.956487 | + | 0.291774i | \(0.905755\pi\) | |||||||
\(420\) | 16.2778 | − | 4.14510i | 0.794277 | − | 0.202260i | ||||
\(421\) | 6.27826 | − | 3.62475i | 0.305983 | − | 0.176660i | −0.339144 | − | 0.940734i | \(-0.610137\pi\) |
0.645128 | + | 0.764075i | \(0.276804\pi\) | |||||||
\(422\) | 4.61481 | − | 4.91960i | 0.224645 | − | 0.239482i | ||||
\(423\) | −9.95340 | + | 3.87050i | −0.483951 | + | 0.188190i | ||||
\(424\) | −24.6128 | − | 20.2944i | −1.19530 | − | 0.985581i | ||||
\(425\) | 4.82418 | − | 2.78524i | 0.234007 | − | 0.135104i | ||||
\(426\) | 2.87935 | + | 5.54167i | 0.139505 | + | 0.268495i | ||||
\(427\) | −7.82766 | + | 13.5579i | −0.378807 | + | 0.656113i | ||||
\(428\) | 9.27112 | − | 18.7274i | 0.448137 | − | 0.905221i | ||||
\(429\) | 4.01455 | + | 4.67978i | 0.193824 | + | 0.225942i | ||||
\(430\) | −5.42589 | − | 1.26954i | −0.261660 | − | 0.0612225i | ||||
\(431\) | −37.7004 | −1.81596 | −0.907982 | − | 0.419009i | \(-0.862377\pi\) | ||||
−0.907982 | + | 0.419009i | \(0.862377\pi\) | |||||||
\(432\) | 19.4297 | + | 7.38155i | 0.934811 | + | 0.355145i | ||||
\(433\) | 36.1185 | 1.73575 | 0.867873 | − | 0.496787i | \(-0.165487\pi\) | ||||
0.867873 | + | 0.496787i | \(0.165487\pi\) | |||||||
\(434\) | −31.8129 | − | 7.44351i | −1.52707 | − | 0.357300i | ||||
\(435\) | −1.80910 | − | 2.10888i | −0.0867397 | − | 0.101113i | ||||
\(436\) | −8.58523 | + | 17.3419i | −0.411158 | + | 0.830525i | ||||
\(437\) | −13.2137 | + | 22.8867i | −0.632095 | + | 1.09482i | ||||
\(438\) | 7.97884 | + | 15.3563i | 0.381244 | + | 0.733751i | ||||
\(439\) | −9.02239 | + | 5.20908i | −0.430615 | + | 0.248616i | −0.699609 | − | 0.714526i | \(-0.746642\pi\) |
0.268993 | + | 0.963142i | \(0.413309\pi\) | |||||||
\(440\) | 2.37101 | − | 2.87554i | 0.113033 | − | 0.137086i | ||||
\(441\) | 26.6753 | + | 21.4098i | 1.27025 | + | 1.01951i | ||||
\(442\) | −4.42175 | + | 4.71379i | −0.210321 | + | 0.224212i | ||||
\(443\) | −30.7905 | + | 17.7769i | −1.46290 | + | 0.844606i | −0.999144 | − | 0.0413574i | \(-0.986832\pi\) |
−0.463756 | + | 0.885963i | \(0.653498\pi\) | |||||||
\(444\) | −9.97695 | + | 2.54060i | −0.473485 | + | 0.120571i | ||||
\(445\) | −8.45606 | − | 4.88211i | −0.400856 | − | 0.231434i | ||||
\(446\) | −19.5806 | + | 5.92327i | −0.927167 | + | 0.280475i | ||||
\(447\) | −30.4526 | + | 5.71259i | −1.44036 | + | 0.270196i | ||||
\(448\) | −22.5079 | − | 25.9054i | −1.06340 | − | 1.22391i | ||||
\(449\) | 16.7750i | 0.791662i | 0.918323 | + | 0.395831i | \(0.129543\pi\) | ||||
−0.918323 | + | 0.395831i | \(0.870457\pi\) | |||||||
\(450\) | −15.6354 | + | 2.21972i | −0.737060 | + | 0.104639i | ||||
\(451\) | −5.69832 | −0.268323 | ||||||||
\(452\) | 9.15449 | + | 13.7464i | 0.430591 | + | 0.646574i | ||||
\(453\) | 4.51234 | + | 1.58687i | 0.212008 | + | 0.0745575i | ||||
\(454\) | 0.878149 | − | 0.265647i | 0.0412136 | − | 0.0124674i | ||||
\(455\) | 7.40386 | − | 12.8239i | 0.347098 | − | 0.601192i | ||||
\(456\) | 0.327120 | + | 16.7698i | 0.0153188 | + | 0.785319i | ||||
\(457\) | −0.679436 | − | 1.17682i | −0.0317827 | − | 0.0550492i | 0.849697 | − | 0.527272i | \(-0.176785\pi\) |
−0.881479 | + | 0.472223i | \(0.843452\pi\) | |||||||
\(458\) | −14.2929 | − | 13.4074i | −0.667866 | − | 0.626489i | ||||
\(459\) | −4.10624 | − | 6.60368i | −0.191663 | − | 0.308233i | ||||
\(460\) | −1.11453 | − | 17.4146i | −0.0519653 | − | 0.811958i | ||||
\(461\) | 5.07410 | + | 8.78860i | 0.236324 | + | 0.409326i | 0.959657 | − | 0.281174i | \(-0.0907238\pi\) |
−0.723332 | + | 0.690500i | \(0.757391\pi\) | |||||||
\(462\) | 12.2367 | + | 0.543773i | 0.569301 | + | 0.0252986i | ||||
\(463\) | 23.2656 | + | 13.4324i | 1.08124 | + | 0.624256i | 0.931232 | − | 0.364428i | \(-0.118735\pi\) |
0.150012 | + | 0.988684i | \(0.452069\pi\) | |||||||
\(464\) | −2.18847 | + | 5.23783i | −0.101597 | + | 0.243160i | ||||
\(465\) | −9.94715 | − | 3.49814i | −0.461288 | − | 0.162223i | ||||
\(466\) | 7.45153 | − | 31.8472i | 0.345186 | − | 1.47529i | ||||
\(467\) | 31.4118i | 1.45356i | 0.686868 | + | 0.726782i | \(0.258985\pi\) | ||||
−0.686868 | + | 0.726782i | \(0.741015\pi\) | |||||||
\(468\) | 16.6180 | − | 7.71775i | 0.768168 | − | 0.356753i | ||||
\(469\) | − | 47.8949i | − | 2.21158i | ||||||
\(470\) | 5.54105 | + | 1.29648i | 0.255590 | + | 0.0598023i | ||||
\(471\) | 0.815476 | + | 4.34713i | 0.0375751 | + | 0.200305i | ||||
\(472\) | 8.58614 | + | 22.9734i | 0.395209 | + | 1.05743i | ||||
\(473\) | −3.51906 | − | 2.03173i | −0.161807 | − | 0.0934191i | ||||
\(474\) | −5.36460 | − | 3.42348i | −0.246404 | − | 0.157246i | ||||
\(475\) | −6.37208 | − | 11.0368i | −0.292371 | − | 0.506402i | ||||
\(476\) | 0.820042 | + | 12.8132i | 0.0375866 | + | 0.587290i | ||||
\(477\) | 5.14767 | − | 33.4419i | 0.235696 | − | 1.53120i | ||||
\(478\) | 14.3984 | − | 15.3494i | 0.658568 | − | 0.702064i | ||||
\(479\) | −2.42488 | − | 4.20001i | −0.110796 | − | 0.191904i | 0.805296 | − | 0.592873i | \(-0.202007\pi\) |
−0.916091 | + | 0.400970i | \(0.868673\pi\) | |||||||
\(480\) | −6.31760 | − | 9.09680i | −0.288358 | − | 0.415210i | ||||
\(481\) | −4.53794 | + | 7.85995i | −0.206912 | + | 0.358383i | ||||
\(482\) | −4.81521 | − | 15.9176i | −0.219327 | − | 0.725028i | ||||
\(483\) | 43.5283 | − | 37.3407i | 1.98061 | − | 1.69906i | ||||
\(484\) | −16.0491 | + | 10.6880i | −0.729503 | + | 0.485818i | ||||
\(485\) | 7.59316 | 0.344788 | ||||||||
\(486\) | 3.81070 | + | 21.7136i | 0.172857 | + | 0.984947i | ||||
\(487\) | 23.2664i | 1.05430i | 0.849772 | + | 0.527150i | \(0.176739\pi\) | ||||
−0.849772 | + | 0.527150i | \(0.823261\pi\) | |||||||
\(488\) | 10.1806 | + | 1.70495i | 0.460855 | + | 0.0771794i | ||||
\(489\) | −7.81923 | − | 9.11493i | −0.353598 | − | 0.412191i | ||||
\(490\) | −5.27743 | − | 17.4456i | −0.238410 | − | 0.788112i | ||||
\(491\) | 9.48139 | + | 5.47408i | 0.427889 | + | 0.247042i | 0.698447 | − | 0.715662i | \(-0.253875\pi\) |
−0.270558 | + | 0.962704i | \(0.587208\pi\) | |||||||
\(492\) | −4.58606 | + | 16.3007i | −0.206755 | + | 0.734893i | ||||
\(493\) | 1.83929 | − | 1.06191i | 0.0828373 | − | 0.0478262i | ||||
\(494\) | 10.7842 | + | 10.1161i | 0.485205 | + | 0.455144i | ||||
\(495\) | 3.90704 | + | 0.601407i | 0.175609 | + | 0.0270312i | ||||
\(496\) | 2.74618 | + | 21.3667i | 0.123307 | + | 0.959394i | ||||
\(497\) | 9.47149 | − | 5.46837i | 0.424855 | − | 0.245290i | ||||
\(498\) | 9.50099 | + | 6.06316i | 0.425749 | + | 0.271697i | ||||
\(499\) | 19.4409 | − | 33.6726i | 0.870293 | − | 1.50739i | 0.00859924 | − | 0.999963i | \(-0.497263\pi\) |
0.861694 | − | 0.507429i | \(-0.169404\pi\) | |||||||
\(500\) | 17.6719 | + | 8.74859i | 0.790310 | + | 0.391249i | ||||
\(501\) | 28.4916 | − | 5.34473i | 1.27291 | − | 0.238785i | ||||
\(502\) | 1.77727 | − | 7.59591i | 0.0793237 | − | 0.339022i | ||||
\(503\) | 9.97588 | 0.444803 | 0.222401 | − | 0.974955i | \(-0.428610\pi\) | ||||
0.222401 | + | 0.974955i | \(0.428610\pi\) | |||||||
\(504\) | 11.4037 | − | 34.5668i | 0.507962 | − | 1.53973i | ||||
\(505\) | 15.5196 | 0.690612 | ||||||||
\(506\) | 2.89903 | − | 12.3902i | 0.128878 | − | 0.550811i | ||||
\(507\) | −2.11137 | + | 6.00378i | −0.0937692 | + | 0.266637i | ||||
\(508\) | 2.47350 | − | 4.99639i | 0.109744 | − | 0.221679i | ||||
\(509\) | 7.82922 | − | 13.5606i | 0.347024 | − | 0.601063i | −0.638695 | − | 0.769460i | \(-0.720526\pi\) |
0.985719 | + | 0.168396i | \(0.0538589\pi\) | |||||||
\(510\) | −0.183955 | + | 4.13959i | −0.00814566 | + | 0.183304i | ||||
\(511\) | 26.2460 | − | 15.1532i | 1.16106 | − | 0.670336i | ||||
\(512\) | −10.8043 | + | 19.8813i | −0.477486 | + | 0.878640i | ||||
\(513\) | −15.1079 | + | 9.39426i | −0.667030 | + | 0.414767i | ||||
\(514\) | 20.1511 | + | 18.9026i | 0.888826 | + | 0.833759i | ||||
\(515\) | 6.19601 | − | 3.57727i | 0.273029 | − | 0.157633i | ||||
\(516\) | −8.64418 | + | 8.43154i | −0.380539 | + | 0.371178i | ||||
\(517\) | 3.59375 | + | 2.07485i | 0.158053 | + | 0.0912519i | ||||
\(518\) | 5.22053 | + | 17.2575i | 0.229377 | + | 0.758251i | ||||
\(519\) | −11.7441 | + | 33.3949i | −0.515508 | + | 1.46587i | ||||
\(520\) | −9.62942 | − | 1.61264i | −0.422278 | − | 0.0707189i | ||||
\(521\) | − | 9.78813i | − | 0.428826i | −0.976743 | − | 0.214413i | \(-0.931216\pi\) | ||
0.976743 | − | 0.214413i | \(-0.0687838\pi\) | |||||||
\(522\) | −5.96121 | + | 0.846301i | −0.260915 | + | 0.0370416i | ||||
\(523\) | −32.9015 | −1.43868 | −0.719342 | − | 0.694656i | \(-0.755557\pi\) | ||||
−0.719342 | + | 0.694656i | \(0.755557\pi\) | |||||||
\(524\) | −16.7088 | − | 25.0899i | −0.729928 | − | 1.09606i | ||||
\(525\) | 5.09907 | + | 27.1821i | 0.222542 | + | 1.18632i | ||||
\(526\) | −4.60732 | − | 15.2304i | −0.200889 | − | 0.664079i | ||||
\(527\) | 4.02989 | − | 6.97997i | 0.175545 | − | 0.304052i | ||||
\(528\) | −2.48879 | − | 7.68322i | −0.108311 | − | 0.334369i | ||||
\(529\) | −18.2896 | − | 31.6786i | −0.795201 | − | 1.37733i | ||||
\(530\) | −12.3352 | + | 13.1499i | −0.535806 | + | 0.571194i | ||||
\(531\) | −16.2825 | + | 20.2870i | −0.706601 | + | 0.880382i | ||||
\(532\) | 29.3140 | − | 1.87609i | 1.27092 | − | 0.0813389i | ||||
\(533\) | 7.46391 | + | 12.9279i | 0.323298 | + | 0.559968i | ||||
\(534\) | −18.7756 | + | 9.75547i | −0.812501 | + | 0.422161i | ||||
\(535\) | −10.2282 | − | 5.90525i | −0.442203 | − | 0.255306i | ||||
\(536\) | −29.5811 | + | 11.0558i | −1.27771 | + | 0.477536i | ||||
\(537\) | 5.36338 | − | 4.60097i | 0.231447 | − | 0.198546i | ||||
\(538\) | 19.4986 | + | 4.56225i | 0.840646 | + | 0.196692i | ||||
\(539\) | − | 13.2908i | − | 0.572476i | ||||||
\(540\) | 4.86482 | − | 10.6925i | 0.209349 | − | 0.460134i | ||||
\(541\) | 26.4228i | 1.13601i | 0.823027 | + | 0.568003i | \(0.192284\pi\) | ||||
−0.823027 | + | 0.568003i | \(0.807716\pi\) | |||||||
\(542\) | −1.26162 | + | 5.39206i | −0.0541913 | + | 0.231609i | ||||
\(543\) | 29.3456 | − | 25.1741i | 1.25934 | − | 1.08032i | ||||
\(544\) | 7.72446 | − | 3.46419i | 0.331183 | − | 0.148526i | ||||
\(545\) | 9.47149 | + | 5.46837i | 0.405714 | + | 0.234239i | ||||
\(546\) | −14.7945 | − | 28.4738i | −0.633144 | − | 1.21857i | ||||
\(547\) | 17.7776 | + | 30.7917i | 0.760116 | + | 1.31656i | 0.942790 | + | 0.333387i | \(0.108191\pi\) |
−0.182674 | + | 0.983174i | \(0.558475\pi\) | |||||||
\(548\) | 17.4052 | − | 1.11393i | 0.743515 | − | 0.0475849i | ||||
\(549\) | 3.96803 | + | 10.2042i | 0.169351 | + | 0.435504i | ||||
\(550\) | 4.47547 | + | 4.19820i | 0.190835 | + | 0.179012i | ||||
\(551\) | −2.42944 | − | 4.20792i | −0.103498 | − | 0.179263i | ||||
\(552\) | −33.1104 | − | 18.2648i | −1.40927 | − | 0.777399i | ||||
\(553\) | −5.57242 | + | 9.65172i | −0.236964 | + | 0.410433i | ||||
\(554\) | −35.8775 | + | 10.8532i | −1.52429 | + | 0.461109i | ||||
\(555\) | 1.07283 | + | 5.71905i | 0.0455392 | + | 0.242760i | ||||
\(556\) | 3.95842 | − | 2.63614i | 0.167874 | − | 0.111797i | ||||
\(557\) | −18.4413 | −0.781384 | −0.390692 | − | 0.920522i | \(-0.627764\pi\) | ||||
−0.390692 | + | 0.920522i | \(0.627764\pi\) | |||||||
\(558\) | −17.9857 | + | 14.0926i | −0.761397 | + | 0.596586i | ||||
\(559\) | 10.6450i | 0.450236i | ||||||||
\(560\) | −15.4240 | + | 11.7601i | −0.651783 | + | 0.496955i | ||||
\(561\) | −1.00244 | + | 2.85047i | −0.0423228 | + | 0.120347i | ||||
\(562\) | −1.44326 | + | 0.436597i | −0.0608803 | + | 0.0184168i | ||||
\(563\) | 35.4943 | + | 20.4926i | 1.49591 | + | 0.863661i | 0.999989 | − | 0.00470871i | \(-0.00149884\pi\) |
0.495917 | + | 0.868370i | \(0.334832\pi\) | |||||||
\(564\) | 8.82765 | − | 8.61049i | 0.371711 | − | 0.362567i | ||||
\(565\) | 8.08387 | − | 4.66722i | 0.340091 | − | 0.196352i | ||||
\(566\) | 3.44134 | − | 3.66862i | 0.144650 | − | 0.154204i | ||||
\(567\) | 37.6924 | − | 8.35509i | 1.58293 | − | 0.350881i | ||||
\(568\) | −5.56375 | − | 4.58756i | −0.233450 | − | 0.192490i | ||||
\(569\) | −3.72340 | + | 2.14971i | −0.156093 | + | 0.0901205i | −0.576012 | − | 0.817441i | \(-0.695392\pi\) |
0.419919 | + | 0.907562i | \(0.362059\pi\) | |||||||
\(570\) | 9.47056 | + | 0.420852i | 0.396678 | + | 0.0176276i | ||||
\(571\) | −2.17462 | + | 3.76656i | −0.0910052 | + | 0.157626i | −0.907934 | − | 0.419112i | \(-0.862341\pi\) |
0.816929 | + | 0.576738i | \(0.195675\pi\) | |||||||
\(572\) | −6.38056 | − | 3.15875i | −0.266785 | − | 0.132074i | ||||
\(573\) | −8.36048 | + | 23.7734i | −0.349264 | + | 0.993150i | ||||
\(574\) | 28.8752 | + | 6.75616i | 1.20523 | + | 0.281997i | ||||
\(575\) | 28.7312 | 1.19817 | ||||||||
\(576\) | −23.9817 | + | 0.935955i | −0.999239 | + | 0.0389981i | ||||
\(577\) | 12.5475 | 0.522361 | 0.261180 | − | 0.965290i | \(-0.415888\pi\) | ||||
0.261180 | + | 0.965290i | \(0.415888\pi\) | |||||||
\(578\) | 20.3254 | + | 4.75569i | 0.845424 | + | 0.197810i | ||||
\(579\) | −7.47423 | + | 1.40209i | −0.310619 | + | 0.0582687i | ||||
\(580\) | 2.87531 | + | 1.42345i | 0.119391 | + | 0.0591054i | ||||
\(581\) | 9.86905 | − | 17.0937i | 0.409437 | − | 0.709166i | ||||
\(582\) | 8.85157 | − | 13.8704i | 0.366909 | − | 0.574948i | ||||
\(583\) | −11.3861 | + | 6.57376i | −0.471563 | + | 0.272257i | ||||
\(584\) | −15.4175 | − | 12.7124i | −0.637979 | − | 0.526042i | ||||
\(585\) | −3.75319 | − | 9.65172i | −0.155175 | − | 0.399049i | ||||
\(586\) | −15.0734 | + | 16.0690i | −0.622678 | + | 0.663803i | ||||
\(587\) | −8.02388 | + | 4.63259i | −0.331181 | + | 0.191207i | −0.656365 | − | 0.754443i | \(-0.727907\pi\) |
0.325184 | + | 0.945651i | \(0.394574\pi\) | |||||||
\(588\) | −38.0199 | − | 10.6966i | −1.56792 | − | 0.441119i | ||||
\(589\) | −15.9688 | − | 9.21958i | −0.657982 | − | 0.379886i | ||||
\(590\) | 13.2677 | − | 4.01358i | 0.546222 | − | 0.165236i | ||||
\(591\) | −8.68044 | − | 10.1188i | −0.357066 | − | 0.416234i | ||||
\(592\) | 9.45362 | − | 7.20796i | 0.388542 | − | 0.296245i | ||||
\(593\) | − | 11.1342i | − | 0.457228i | −0.973517 | − | 0.228614i | \(-0.926581\pi\) | ||
0.973517 | − | 0.228614i | \(-0.0734193\pi\) | |||||||
\(594\) | 5.65314 | − | 6.43592i | 0.231951 | − | 0.264069i | ||||
\(595\) | 7.25666 | 0.297494 | ||||||||
\(596\) | 29.7780 | − | 19.8309i | 1.21976 | − | 0.812305i | ||||
\(597\) | −27.5792 | + | 23.6588i | −1.12874 | + | 0.968291i | ||||
\(598\) | −31.9071 | + | 9.65214i | −1.30478 | + | 0.394705i | ||||
\(599\) | 22.8693 | − | 39.6108i | 0.934415 | − | 1.61845i | 0.158740 | − | 0.987320i | \(-0.449257\pi\) |
0.775675 | − | 0.631133i | \(-0.217410\pi\) | |||||||
\(600\) | 15.6114 | − | 9.42387i | 0.637331 | − | 0.384728i | ||||
\(601\) | −11.2521 | − | 19.4892i | −0.458982 | − | 0.794980i | 0.539925 | − | 0.841713i | \(-0.318453\pi\) |
−0.998907 | + | 0.0467325i | \(0.985119\pi\) | |||||||
\(602\) | 15.4233 | + | 14.4678i | 0.628608 | + | 0.589663i | ||||
\(603\) | −26.1222 | − | 20.9658i | −1.06378 | − | 0.853795i | ||||
\(604\) | −5.51192 | + | 0.352763i | −0.224277 | + | 0.0143537i | ||||
\(605\) | 5.44905 | + | 9.43803i | 0.221535 | + | 0.383710i | ||||
\(606\) | 18.0916 | − | 28.3496i | 0.734922 | − | 1.15162i | ||||
\(607\) | −24.7306 | − | 14.2782i | −1.00378 | − | 0.579535i | −0.0944185 | − | 0.995533i | \(-0.530099\pi\) |
−0.909366 | + | 0.415997i | \(0.863433\pi\) | |||||||
\(608\) | −7.92538 | − | 17.6720i | −0.321417 | − | 0.716695i | ||||
\(609\) | 1.94409 | + | 10.3636i | 0.0787786 | + | 0.419953i | ||||
\(610\) | 1.32915 | − | 5.68066i | 0.0538157 | − | 0.230003i | ||||
\(611\) | − | 10.8709i | − | 0.439791i | ||||||
\(612\) | 7.34735 | + | 5.16167i | 0.296999 | + | 0.208648i | ||||
\(613\) | 40.4574i | 1.63406i | 0.576596 | + | 0.817030i | \(0.304381\pi\) | ||||
−0.576596 | + | 0.817030i | \(0.695619\pi\) | |||||||
\(614\) | −1.32289 | − | 0.309527i | −0.0533876 | − | 0.0124915i | ||||
\(615\) | 9.02860 | + | 3.17512i | 0.364068 | + | 0.128033i | ||||
\(616\) | −13.2486 | + | 4.95156i | −0.533800 | + | 0.199504i | ||||
\(617\) | −31.6715 | − | 18.2855i | −1.27505 | − | 0.736148i | −0.299112 | − | 0.954218i | \(-0.596691\pi\) |
−0.975933 | + | 0.218070i | \(0.930024\pi\) | |||||||
\(618\) | 0.688272 | − | 15.4884i | 0.0276864 | − | 0.623034i | ||||
\(619\) | 20.3697 | + | 35.2814i | 0.818727 | + | 1.41808i | 0.906620 | + | 0.421948i | \(0.138653\pi\) |
−0.0878927 | + | 0.996130i | \(0.528013\pi\) | |||||||
\(620\) | 12.1507 | − | 0.777643i | 0.487983 | − | 0.0312309i | ||||
\(621\) | −1.31145 | − | 40.0864i | −0.0526267 | − | 1.60861i | ||||
\(622\) | −8.69892 | + | 9.27345i | −0.348795 | + | 0.371831i | ||||
\(623\) | 18.5273 | + | 32.0902i | 0.742279 | + | 1.28567i | ||||
\(624\) | −14.1711 | + | 15.7102i | −0.567298 | + | 0.628910i | ||||
\(625\) | −3.73321 | + | 6.46610i | −0.149328 | + | 0.258644i | ||||
\(626\) | 7.00943 | + | 23.1711i | 0.280153 | + | 0.926103i | ||||
\(627\) | 6.52132 | + | 2.29337i | 0.260436 | + | 0.0915884i | ||||
\(628\) | −2.83087 | − | 4.25083i | −0.112964 | − | 0.169627i | ||||
\(629\) | −4.44772 | −0.177342 | ||||||||
\(630\) | −19.0852 | − | 7.67987i | −0.760372 | − | 0.305973i | ||||
\(631\) | − | 15.0916i | − | 0.600788i | −0.953815 | − | 0.300394i | \(-0.902882\pi\) | ||
0.953815 | − | 0.300394i | \(-0.0971182\pi\) | |||||||
\(632\) | 7.24746 | + | 1.21373i | 0.288289 | + | 0.0482797i | ||||
\(633\) | −8.11963 | + | 1.52316i | −0.322726 | + | 0.0605400i | ||||
\(634\) | 3.24744 | + | 10.7351i | 0.128972 | + | 0.426344i | ||||
\(635\) | −2.72884 | − | 1.57550i | −0.108291 | − | 0.0625218i | ||||
\(636\) | 9.64139 | + | 37.8619i | 0.382306 | + | 1.50132i | ||||
\(637\) | −30.1531 | + | 17.4089i | −1.19471 | + | 0.689765i | ||||
\(638\) | 1.70634 | + | 1.60062i | 0.0675546 | + | 0.0633693i | ||||
\(639\) | 1.16364 | − | 7.55957i | 0.0460328 | − | 0.299052i | ||||
\(640\) | 10.8237 | + | 6.81165i | 0.427846 | + | 0.269254i | ||||
\(641\) | −26.9377 | + | 15.5525i | −1.06398 | + | 0.614287i | −0.926529 | − | 0.376222i | \(-0.877223\pi\) |
−0.137447 | + | 0.990509i | \(0.543890\pi\) | |||||||
\(642\) | −22.7104 | + | 11.7999i | −0.896309 | + | 0.465706i | ||||
\(643\) | −1.93125 | + | 3.34503i | −0.0761612 | + | 0.131915i | −0.901591 | − | 0.432590i | \(-0.857600\pi\) |
0.825429 | + | 0.564505i | \(0.190933\pi\) | |||||||
\(644\) | −29.3806 | + | 59.3479i | −1.15776 | + | 2.33863i | ||||
\(645\) | 4.44363 | + | 5.17997i | 0.174968 | + | 0.203961i | ||||
\(646\) | −1.65085 | + | 7.05560i | −0.0649520 | + | 0.277599i | ||||
\(647\) | −24.1359 | −0.948879 | −0.474440 | − | 0.880288i | \(-0.657349\pi\) | ||||
−0.474440 | + | 0.880288i | \(0.657349\pi\) | |||||||
\(648\) | −13.8610 | − | 21.3512i | −0.544512 | − | 0.838753i | ||||
\(649\) | 10.1079 | 0.396770 | ||||||||
\(650\) | 3.66235 | − | 15.6526i | 0.143649 | − | 0.613944i | ||||
\(651\) | 26.0538 | + | 30.3711i | 1.02113 | + | 1.19034i | ||||
\(652\) | 12.4276 | + | 6.15237i | 0.486702 | + | 0.240945i | ||||
\(653\) | 16.2083 | − | 28.0736i | 0.634279 | − | 1.09860i | −0.352388 | − | 0.935854i | \(-0.614630\pi\) |
0.986667 | − | 0.162750i | \(-0.0520364\pi\) | |||||||
\(654\) | 21.0303 | − | 10.9269i | 0.822349 | − | 0.427277i | ||||
\(655\) | −14.7547 | + | 8.51864i | −0.576515 | + | 0.332851i | ||||
\(656\) | −2.49259 | − | 19.3937i | −0.0973195 | − | 0.757195i | ||||
\(657\) | 3.22450 | − | 20.9480i | 0.125800 | − | 0.817259i | ||||
\(658\) | −15.7507 | − | 14.7748i | −0.614025 | − | 0.575984i | ||||
\(659\) | 19.7202 | − | 11.3855i | 0.768191 | − | 0.443515i | −0.0640377 | − | 0.997947i | \(-0.520398\pi\) |
0.832229 | + | 0.554432i | \(0.187064\pi\) | |||||||
\(660\) | −4.42343 | + | 1.12641i | −0.172182 | + | 0.0438455i | ||||
\(661\) | −25.6004 | − | 14.7804i | −0.995740 | − | 0.574891i | −0.0887549 | − | 0.996053i | \(-0.528289\pi\) |
−0.906985 | + | 0.421163i | \(0.861622\pi\) | |||||||
\(662\) | 3.91752 | + | 12.9502i | 0.152259 | + | 0.503322i | ||||
\(663\) | 7.77995 | − | 1.45944i | 0.302148 | − | 0.0566798i | ||||
\(664\) | −12.8356 | − | 2.14958i | −0.498119 | − | 0.0834200i | ||||
\(665\) | − | 16.6018i | − | 0.643790i | ||||||
\(666\) | 11.6976 | + | 4.70712i | 0.453274 | + | 0.182397i | ||||
\(667\) | 10.9542 | 0.424147 | ||||||||
\(668\) | −27.8605 | + | 18.5539i | −1.07795 | + | 0.717872i | ||||
\(669\) | 23.6355 | + | 8.31197i | 0.913802 | + | 0.321359i | ||||
\(670\) | 5.16800 | + | 17.0839i | 0.199657 | + | 0.660007i | ||||
\(671\) | 2.12713 | − | 3.68430i | 0.0821171 | − | 0.142231i | ||||
\(672\) | 3.50197 | + | 41.8841i | 0.135091 | + | 1.61572i | ||||
\(673\) | 8.89907 | + | 15.4136i | 0.343034 | + | 0.594152i | 0.984995 | − | 0.172585i | \(-0.0552121\pi\) |
−0.641961 | + | 0.766738i | \(0.721879\pi\) | |||||||
\(674\) | 33.0369 | − | 35.2188i | 1.27253 | − | 1.35658i | ||||
\(675\) | 17.0574 | + | 9.11782i | 0.656539 | + | 0.350945i | ||||
\(676\) | −0.469360 | − | 7.33376i | −0.0180523 | − | 0.282068i | ||||
\(677\) | −22.9383 | − | 39.7303i | −0.881591 | − | 1.52696i | −0.849572 | − | 0.527473i | \(-0.823140\pi\) |
−0.0320192 | − | 0.999487i | \(-0.510194\pi\) | |||||||
\(678\) | 0.897982 | − | 20.2075i | 0.0344868 | − | 0.776065i | ||||
\(679\) | −24.9550 | − | 14.4078i | −0.957684 | − | 0.552919i | ||||
\(680\) | −1.67508 | − | 4.48191i | −0.0642365 | − | 0.171873i | ||||
\(681\) | −1.06000 | − | 0.372775i | −0.0406195 | − | 0.0142848i | ||||
\(682\) | 8.64502 | + | 2.02274i | 0.331035 | + | 0.0774548i | ||||
\(683\) | − | 2.20513i | − | 0.0843769i | −0.999110 | − | 0.0421884i | \(-0.986567\pi\) | ||
0.999110 | − | 0.0421884i | \(-0.0134330\pi\) | |||||||
\(684\) | 11.8089 | − | 16.8093i | 0.451524 | − | 0.642718i | ||||
\(685\) | − | 9.85735i | − | 0.376630i | ||||||
\(686\) | −6.08336 | + | 25.9997i | −0.232264 | + | 0.992675i | ||||
\(687\) | 4.42524 | + | 23.5900i | 0.168833 | + | 0.900015i | ||||
\(688\) | 5.37546 | − | 12.8655i | 0.204938 | − | 0.490493i | ||||
\(689\) | 29.8280 | + | 17.2212i | 1.13636 | + | 0.656075i | ||||
\(690\) | −11.4972 | + | 18.0161i | −0.437689 | + | 0.685860i | ||||
\(691\) | −10.2512 | − | 17.7556i | −0.389975 | − | 0.675457i | 0.602471 | − | 0.798141i | \(-0.294183\pi\) |
−0.992446 | + | 0.122684i | \(0.960850\pi\) | |||||||
\(692\) | −2.61073 | − | 40.7926i | −0.0992449 | − | 1.55070i | ||||
\(693\) | −11.6994 | − | 9.39001i | −0.444422 | − | 0.356697i | ||||
\(694\) | 24.9433 | + | 23.3980i | 0.946835 | + | 0.888175i | ||||
\(695\) | −1.34398 | − | 2.32784i | −0.0509801 | − | 0.0883001i | ||||
\(696\) | 5.95205 | − | 3.59298i | 0.225612 | − | 0.136192i | ||||
\(697\) | −3.65776 | + | 6.33542i | −0.138547 | + | 0.239971i | ||||
\(698\) | 15.1903 | − | 4.59519i | 0.574963 | − | 0.173931i | ||||
\(699\) | −30.4038 | + | 26.0819i | −1.14998 | + | 0.986506i | ||||
\(700\) | −17.7011 | − | 26.5799i | −0.669039 | − | 1.00463i | ||||
\(701\) | 26.6854 | 1.00789 | 0.503947 | − | 0.863734i | \(-0.331881\pi\) | ||||
0.503947 | + | 0.863734i | \(0.331881\pi\) | |||||||
\(702\) | −22.0060 | − | 4.39533i | −0.830563 | − | 0.165891i | ||||
\(703\) | 10.1755i | 0.383776i | ||||||||
\(704\) | 6.11643 | + | 7.03968i | 0.230522 | + | 0.265318i | ||||
\(705\) | −4.53794 | − | 5.28991i | −0.170909 | − | 0.199230i | ||||
\(706\) | −9.14655 | + | 2.76690i | −0.344235 | + | 0.104134i | ||||
\(707\) | −51.0052 | − | 29.4479i | −1.91825 | − | 1.10750i | ||||
\(708\) | 8.13493 | − | 28.9148i | 0.305729 | − | 1.08669i | ||||
\(709\) | −37.8684 | + | 21.8633i | −1.42218 | + | 0.821095i | −0.996485 | − | 0.0837727i | \(-0.973303\pi\) |
−0.425693 | + | 0.904868i | \(0.639970\pi\) | |||||||
\(710\) | −2.78838 | + | 2.97254i | −0.104646 | + | 0.111558i | ||||
\(711\) | 2.82479 | + | 7.26425i | 0.105938 | + | 0.272431i | ||||
\(712\) | 15.5430 | − | 18.8504i | 0.582500 | − | 0.706450i | ||||
\(713\) | 36.0009 | − | 20.7851i | 1.34825 | − | 0.778410i | ||||
\(714\) | 8.45930 | − | 13.2557i | 0.316581 | − | 0.496084i | ||||
\(715\) | −2.01197 | + | 3.48483i | −0.0752433 | + | 0.130325i | ||||
\(716\) | −3.62016 | + | 7.31260i | −0.135292 | + | 0.273285i | ||||
\(717\) | −25.3336 | + | 4.75232i | −0.946101 | + | 0.177479i | ||||
\(718\) | 28.0080 | + | 6.55324i | 1.04525 | + | 0.244565i | ||||
\(719\) | −13.9253 | −0.519327 | −0.259663 | − | 0.965699i | \(-0.583612\pi\) | ||||
−0.259663 | + | 0.965699i | \(0.583612\pi\) | |||||||
\(720\) | −0.337786 | + | 13.5603i | −0.0125885 | + | 0.505363i | ||||
\(721\) | −27.1510 | −1.01115 | ||||||||
\(722\) | −10.0216 | − | 2.34484i | −0.372966 | − | 0.0872658i | ||||
\(723\) | −6.75705 | + | 19.2140i | −0.251297 | + | 0.714577i | ||||
\(724\) | −19.8076 | + | 40.0107i | −0.736145 | + | 1.48699i | ||||
\(725\) | −2.64124 | + | 4.57475i | −0.0980930 | + | 0.169902i | ||||
\(726\) | 23.5926 | + | 1.04841i | 0.875602 | + | 0.0389100i | ||||
\(727\) | 30.9380 | − | 17.8621i | 1.14743 | − | 0.662468i | 0.199169 | − | 0.979965i | \(-0.436176\pi\) |
0.948259 | + | 0.317497i | \(0.102842\pi\) | |||||||
\(728\) | 28.5872 | + | 23.5714i | 1.05951 | + | 0.873616i | ||||
\(729\) | 11.9428 | − | 24.2151i | 0.442326 | − | 0.896854i | ||||
\(730\) | −7.72676 | + | 8.23708i | −0.285980 | + | 0.304868i | ||||
\(731\) | −4.51778 | + | 2.60834i | −0.167096 | + | 0.0964730i | ||||
\(732\) | −8.82744 | − | 9.05007i | −0.326272 | − | 0.334500i | ||||
\(733\) | 30.2141 | + | 17.4441i | 1.11598 | + | 0.644312i | 0.940372 | − | 0.340148i | \(-0.110477\pi\) |
0.175610 | + | 0.984460i | \(0.443810\pi\) | |||||||
\(734\) | 18.3185 | − | 5.54148i | 0.676148 | − | 0.204540i | ||||
\(735\) | −7.40567 | + | 21.0584i | −0.273162 | + | 0.776751i | ||||
\(736\) | 43.4369 | + | 4.44676i | 1.60110 | + | 0.163910i | ||||
\(737\) | 13.0152i | 0.479422i | ||||||||
\(738\) | 16.3249 | − | 12.7912i | 0.600928 | − | 0.470852i | ||||
\(739\) | 13.1128 | 0.482361 | 0.241181 | − | 0.970480i | \(-0.422465\pi\) | ||||
0.241181 | + | 0.970480i | \(0.422465\pi\) | |||||||
\(740\) | −3.72427 | − | 5.59236i | −0.136907 | − | 0.205579i | ||||
\(741\) | −3.33890 | − | 17.7990i | −0.122657 | − | 0.653862i | ||||
\(742\) | 65.4911 | − | 19.8115i | 2.40425 | − | 0.727305i | ||||
\(743\) | −11.1665 | + | 19.3410i | −0.409660 | + | 0.709551i | −0.994851 | − | 0.101344i | \(-0.967686\pi\) |
0.585192 | + | 0.810895i | \(0.301019\pi\) | |||||||
\(744\) | 12.7439 | − | 23.1022i | 0.467213 | − | 0.846967i | ||||
\(745\) | −10.1104 | − | 17.5117i | −0.370415 | − | 0.641578i | ||||
\(746\) | 27.4365 | + | 25.7367i | 1.00452 | + | 0.942286i | ||||
\(747\) | −5.00286 | − | 12.8654i | −0.183045 | − | 0.470719i | ||||
\(748\) | −0.222843 | − | 3.48192i | −0.00814794 | − | 0.127312i | ||||
\(749\) | 22.4100 | + | 38.8153i | 0.818844 | + | 1.41828i | ||||
\(750\) | −11.1349 | − | 21.4304i | −0.406588 | − | 0.782529i | ||||
\(751\) | −6.99545 | − | 4.03882i | −0.255267 | − | 0.147379i | 0.366906 | − | 0.930258i | \(-0.380417\pi\) |
−0.622174 | + | 0.782879i | \(0.713750\pi\) | |||||||
\(752\) | −5.48955 | + | 13.1386i | −0.200183 | + | 0.479114i | ||||
\(753\) | −7.25165 | + | 6.22082i | −0.264265 | + | 0.226699i | ||||
\(754\) | 1.39632 | − | 5.96776i | 0.0508511 | − | 0.217333i | ||||
\(755\) | 3.12165i | 0.113608i | ||||||||
\(756\) | −36.2770 | + | 25.9103i | −1.31938 | + | 0.942348i | ||||
\(757\) | − | 12.7751i | − | 0.464319i | −0.972678 | − | 0.232160i | \(-0.925421\pi\) | ||
0.972678 | − | 0.232160i | \(-0.0745792\pi\) | |||||||
\(758\) | −39.2493 | − | 9.18346i | −1.42560 | − | 0.333558i | ||||
\(759\) | −11.8286 | + | 10.1472i | −0.429352 | + | 0.368319i | ||||
\(760\) | −10.2537 | + | 3.83226i | −0.371941 | + | 0.139011i | ||||
\(761\) | 43.2325 | + | 24.9603i | 1.56718 | + | 0.904809i | 0.996496 | + | 0.0836361i | \(0.0266533\pi\) |
0.570679 | + | 0.821173i | \(0.306680\pi\) | |||||||
\(762\) | −6.05906 | + | 3.14818i | −0.219497 | + | 0.114046i | ||||
\(763\) | −20.7521 | − | 35.9437i | −0.751276 | − | 1.30125i | ||||
\(764\) | −1.85855 | − | 29.0398i | −0.0672399 | − | 1.05062i | ||||
\(765\) | 3.17658 | − | 3.95783i | 0.114850 | − | 0.143096i | ||||
\(766\) | −19.4504 | + | 20.7350i | −0.702771 | + | 0.749186i | ||||
\(767\) | −13.2398 | − | 22.9320i | −0.478060 | − | 0.828025i | ||||
\(768\) | 25.0604 | − | 11.8312i | 0.904289 | − | 0.426921i | ||||
\(769\) | −14.2517 | + | 24.6846i | −0.513929 | + | 0.890150i | 0.485941 | + | 0.873992i | \(0.338477\pi\) |
−0.999869 | + | 0.0161588i | \(0.994856\pi\) | |||||||
\(770\) | 2.31460 | + | 7.65138i | 0.0834124 | + | 0.275737i | ||||
\(771\) | −6.23897 | − | 33.2586i | −0.224691 | − | 1.19778i | ||||
\(772\) | 7.30866 | − | 4.86726i | 0.263044 | − | 0.175176i | ||||
\(773\) | −20.8254 | −0.749037 | −0.374518 | − | 0.927220i | \(-0.622192\pi\) | ||||
−0.374518 | + | 0.927220i | \(0.622192\pi\) | |||||||
\(774\) | 14.6423 | − | 2.07874i | 0.526308 | − | 0.0747188i | ||||
\(775\) | 20.0466i | 0.720096i | ||||||||
\(776\) | −3.13817 | + | 18.7387i | −0.112654 | + | 0.672679i | ||||
\(777\) | 7.32583 | − | 20.8314i | 0.262813 | − | 0.747321i | ||||
\(778\) | −0.885390 | − | 2.92684i | −0.0317428 | − | 0.104932i | ||||
\(779\) | 14.4942 | + | 8.36822i | 0.519308 | + | 0.299822i | ||||
\(780\) | 8.34951 | + | 8.56009i | 0.298961 | + | 0.306500i | ||||
\(781\) | −2.57384 | + | 1.48601i | −0.0920991 | + | 0.0531735i | ||||
\(782\) | −11.9146 | − | 11.1764i | −0.426065 | − | 0.399668i | ||||
\(783\) | 6.50337 | + | 3.47630i | 0.232411 | + | 0.124233i | ||||
\(784\) | 45.2339 | − | 5.81375i | 1.61550 | − | 0.207634i | ||||
\(785\) | −2.49980 | + | 1.44326i | −0.0892218 | + | 0.0515122i | ||||
\(786\) | −1.63900 | + | 36.8829i | −0.0584612 | + | 1.31557i | ||||
\(787\) | 10.4386 | − | 18.0802i | 0.372096 | − | 0.644488i | −0.617792 | − | 0.786341i | \(-0.711973\pi\) |
0.989888 | + | 0.141853i | \(0.0453060\pi\) | |||||||
\(788\) | 13.7964 | + | 6.82999i | 0.491475 | + | 0.243308i | ||||
\(789\) | −6.46533 | + | 18.3845i | −0.230172 | + | 0.654506i | ||||
\(790\) | 0.946206 | − | 4.04400i | 0.0336645 | − | 0.143879i | ||||
\(791\) | −35.4236 | −1.25952 | ||||||||
\(792\) | −3.09891 | + | 9.39338i | −0.110115 | + | 0.333779i | ||||
\(793\) | −11.1448 | −0.395765 | ||||||||
\(794\) | 6.07347 | − | 25.9575i | 0.215540 | − | 0.921197i | ||||
\(795\) | 21.7034 | − | 4.07133i | 0.769740 | − | 0.144395i | ||||
\(796\) | 18.6154 | − | 37.6024i | 0.659804 | − | 1.33278i | ||||
\(797\) | 14.4238 | − | 24.9828i | 0.510918 | − | 0.884935i | −0.489002 | − | 0.872283i | \(-0.662639\pi\) |
0.999920 | − | 0.0126529i | \(-0.00402764\pi\) | |||||||
\(798\) | −30.3265 | − | 19.3532i | −1.07355 | − | 0.685096i | ||||
\(799\) | 4.61367 | − | 2.66370i | 0.163220 | − | 0.0942350i | ||||
\(800\) | −12.3305 | + | 17.0682i | −0.435948 | + | 0.603453i | ||||
\(801\) | 25.6124 | + | 3.94250i | 0.904971 | + | 0.139301i | ||||
\(802\) | −17.9446 | − | 16.8329i | −0.633647 | − | 0.594390i | ||||
\(803\) | −7.13225 | + | 4.11780i | −0.251691 | + | 0.145314i | ||||
\(804\) | 37.2316 | + | 10.4748i | 1.31306 | + | 0.369417i | ||||
\(805\) | 32.4136 | + | 18.7140i | 1.14243 | + | 0.659582i | ||||
\(806\) | −6.73460 | − | 22.2626i | −0.237216 | − | 0.784165i | ||||
\(807\) | −15.9688 | − | 18.6149i | −0.562128 | − | 0.655276i | ||||
\(808\) | −6.41406 | + | 38.2997i | −0.225646 | + | 1.34738i | ||||
\(809\) | 43.6746i | 1.53552i | 0.640739 | + | 0.767759i | \(0.278628\pi\) | ||||
−0.640739 | + | 0.767759i | \(0.721372\pi\) | |||||||
\(810\) | −12.5431 | + | 7.04734i | −0.440721 | + | 0.247618i | ||||
\(811\) | 42.3445 | 1.48692 | 0.743458 | − | 0.668782i | \(-0.233184\pi\) | ||||
0.743458 | + | 0.668782i | \(0.233184\pi\) | |||||||
\(812\) | −6.74880 | − | 10.1340i | −0.236836 | − | 0.355633i | ||||
\(813\) | 5.14767 | − | 4.41593i | 0.180537 | − | 0.154873i | ||||
\(814\) | −1.41866 | − | 4.68965i | −0.0497239 | − | 0.164372i | ||||
\(815\) | 3.91876 | − | 6.78749i | 0.137268 | − | 0.237755i | ||||
\(816\) | −10.1398 | − | 2.16481i | −0.354964 | − | 0.0757837i | ||||
\(817\) | 5.96737 | + | 10.3358i | 0.208772 | + | 0.361603i | ||||
\(818\) | −19.9064 | + | 21.2212i | −0.696012 | + | 0.741981i | ||||
\(819\) | −5.97891 | + | 38.8420i | −0.208920 | + | 1.35725i | ||||
\(820\) | −11.0287 | + | 0.705833i | −0.385137 | + | 0.0246488i | ||||
\(821\) | 1.40953 | + | 2.44138i | 0.0491930 | + | 0.0852047i | 0.889573 | − | 0.456792i | \(-0.151002\pi\) |
−0.840380 | + | 0.541997i | \(0.817668\pi\) | |||||||
\(822\) | −18.0064 | − | 11.4910i | −0.628046 | − | 0.400795i | ||||
\(823\) | −4.46763 | − | 2.57939i | −0.155732 | − | 0.0899118i | 0.420109 | − | 0.907474i | \(-0.361992\pi\) |
−0.575841 | + | 0.817562i | \(0.695325\pi\) | |||||||
\(824\) | 6.26736 | + | 16.7692i | 0.218334 | + | 0.584181i | ||||
\(825\) | −1.38565 | − | 7.38662i | −0.0482422 | − | 0.257169i | ||||
\(826\) | −51.2200 | − | 11.9843i | −1.78217 | − | 0.416989i | ||||
\(827\) | − | 21.8630i | − | 0.760251i | −0.924935 | − | 0.380125i | \(-0.875881\pi\) | ||
0.924935 | − | 0.380125i | \(-0.124119\pi\) | |||||||
\(828\) | 19.5074 | + | 42.0037i | 0.677929 | + | 1.45973i | ||||
\(829\) | − | 22.0815i | − | 0.766924i | −0.923557 | − | 0.383462i | \(-0.874732\pi\) | ||
0.923557 | − | 0.383462i | \(-0.125268\pi\) | |||||||
\(830\) | −1.67578 | + | 7.16213i | −0.0581672 | + | 0.248601i | ||||
\(831\) | 43.3074 | + | 15.2300i | 1.50232 | + | 0.528324i | ||||
\(832\) | 7.95945 | − | 23.0973i | 0.275944 | − | 0.800756i | ||||
\(833\) | −14.7768 | − | 8.53139i | −0.511986 | − | 0.295595i | ||||
\(834\) | −5.81899 | − | 0.258584i | −0.201495 | − | 0.00895403i | ||||
\(835\) | 9.45931 | + | 16.3840i | 0.327353 | + | 0.566992i | ||||
\(836\) | −7.96594 | + | 0.509820i | −0.275508 | + | 0.0176325i | ||||
\(837\) | 27.9695 | − | 0.915040i | 0.966768 | − | 0.0316284i | ||||
\(838\) | −28.8174 | − | 27.0321i | −0.995482 | − | 0.933808i | ||||
\(839\) | 25.4035 | + | 44.0002i | 0.877026 | + | 1.51905i | 0.854588 | + | 0.519306i | \(0.173809\pi\) |
0.0224378 | + | 0.999748i | \(0.492857\pi\) | |||||||
\(840\) | 23.7505 | − | 0.463288i | 0.819469 | − | 0.0159850i | ||||
\(841\) | 13.4930 | − | 23.3705i | 0.465276 | − | 0.805881i | ||||
\(842\) | 9.81317 | − | 2.96856i | 0.338184 | − | 0.102303i | ||||
\(843\) | 1.74215 | + | 0.612666i | 0.0600027 | + | 0.0211013i | ||||
\(844\) | 7.93976 | − | 5.28754i | 0.273298 | − | 0.182005i | ||||
\(845\) | −4.15343 | −0.142882 | ||||||||
\(846\) | −14.9531 | + | 2.12286i | −0.514098 | + | 0.0729854i | ||||
\(847\) | − | 41.3575i | − | 1.42106i | ||||||
\(848\) | −27.3537 | − | 35.8759i | −0.939330 | − | 1.23198i | ||||
\(849\) | −6.05494 | + | 1.13584i | −0.207805 | + | 0.0389820i | ||||
\(850\) | 7.54039 | − | 2.28103i | 0.258633 | − | 0.0782386i | ||||
\(851\) | −19.8668 | − | 11.4701i | −0.681026 | − | 0.393191i | ||||
\(852\) | 2.17945 | + | 8.55872i | 0.0746666 | + | 0.293217i | ||||
\(853\) | 45.4891 | − | 26.2631i | 1.55752 | − | 0.899233i | 0.560023 | − | 0.828477i | \(-0.310792\pi\) |
0.997494 | − | 0.0707558i | \(-0.0225411\pi\) | |||||||
\(854\) | −15.1471 | + | 16.1475i | −0.518324 | + | 0.552557i | ||||
\(855\) | −9.05472 | − | 7.26739i | −0.309665 | − | 0.248539i | ||||
\(856\) | 18.8004 | − | 22.8009i | 0.642583 | − | 0.779319i | ||||
\(857\) | −48.4564 | + | 27.9763i | −1.65524 | + | 0.955653i | −0.680372 | + | 0.732867i | \(0.738182\pi\) |
−0.974867 | + | 0.222786i | \(0.928485\pi\) | |||||||
\(858\) | 4.02033 | + | 7.73763i | 0.137252 | + | 0.264158i | ||||
\(859\) | 15.4078 | − | 26.6871i | 0.525708 | − | 0.910554i | −0.473843 | − | 0.880609i | \(-0.657134\pi\) |
0.999552 | − | 0.0299443i | \(-0.00953300\pi\) | |||||||
\(860\) | −7.06254 | − | 3.49636i | −0.240831 | − | 0.119225i | ||||
\(861\) | −23.6479 | − | 27.5665i | −0.805918 | − | 0.939464i | ||||
\(862\) | −51.9143 | − | 12.1468i | −1.76821 | − | 0.413721i | ||||
\(863\) | −25.1750 | −0.856966 | −0.428483 | − | 0.903550i | \(-0.640952\pi\) | ||||
−0.428483 | + | 0.903550i | \(0.640952\pi\) | |||||||
\(864\) | 24.3768 | + | 16.4247i | 0.829317 | + | 0.558779i | ||||
\(865\) | −23.1027 | −0.785514 | ||||||||
\(866\) | 49.7360 | + | 11.6371i | 1.69010 | + | 0.395446i | ||||
\(867\) | −16.6458 | − | 19.4042i | −0.565323 | − | 0.659000i | ||||
\(868\) | −41.4088 | − | 20.4998i | −1.40551 | − | 0.695808i | ||||
\(869\) | 1.51428 | − | 2.62281i | 0.0513685 | − | 0.0889728i | ||||
\(870\) | −1.81171 | − | 3.48686i | −0.0614226 | − | 0.118215i | ||||
\(871\) | 29.5278 | − | 17.0479i | 1.00051 | − | 0.577646i | ||||
\(872\) | −17.4095 | + | 21.1141i | −0.589560 | + | 0.715012i | ||||
\(873\) | −18.7821 | + | 7.30364i | −0.635676 | + | 0.247191i | ||||
\(874\) | −25.5694 | + | 27.2582i | −0.864899 | + | 0.922022i | ||||
\(875\) | −36.6276 | + | 21.1470i | −1.23824 | + | 0.714898i | ||||
\(876\) | 6.03937 | + | 23.7167i | 0.204051 | + | 0.801312i | ||||
\(877\) | 31.8486 | + | 18.3878i | 1.07545 | + | 0.620913i | 0.929666 | − | 0.368404i | \(-0.120096\pi\) |
0.145786 | + | 0.989316i | \(0.453429\pi\) | |||||||
\(878\) | −14.1024 | + | 4.26607i | −0.475932 | + | 0.143973i | ||||
\(879\) | 26.5213 | − | 4.97511i | 0.894541 | − | 0.167806i | ||||
\(880\) | 4.19141 | − | 3.19576i | 0.141292 | − | 0.107729i | ||||
\(881\) | 8.15439i | 0.274728i | 0.990521 | + | 0.137364i | \(0.0438631\pi\) | ||||
−0.990521 | + | 0.137364i | \(0.956137\pi\) | |||||||
\(882\) | 29.8344 | + | 38.0763i | 1.00458 | + | 1.28210i | ||||
\(883\) | −20.3792 | −0.685814 | −0.342907 | − | 0.939369i | \(-0.611412\pi\) | ||||
−0.342907 | + | 0.939369i | \(0.611412\pi\) | |||||||
\(884\) | −7.60760 | + | 5.06634i | −0.255871 | + | 0.170399i | ||||
\(885\) | −16.0153 | − | 5.63215i | −0.538348 | − | 0.189323i | ||||
\(886\) | −48.1268 | + | 14.5587i | −1.61685 | + | 0.489110i | ||||
\(887\) | −22.3561 | + | 38.7220i | −0.750646 | + | 1.30016i | 0.196864 | + | 0.980431i | \(0.436924\pi\) |
−0.947510 | + | 0.319726i | \(0.896409\pi\) | |||||||
\(888\) | −14.5571 | + | 0.283957i | −0.488503 | + | 0.00952897i | ||||
\(889\) | 5.97891 | + | 10.3558i | 0.200526 | + | 0.347322i | ||||
\(890\) | −10.0712 | − | 9.44726i | −0.337588 | − | 0.316673i | ||||
\(891\) | −10.2427 | + | 2.27046i | −0.343145 | + | 0.0760633i | ||||
\(892\) | −28.8713 | + | 1.84776i | −0.966684 | + | 0.0618677i | ||||
\(893\) | −6.09402 | − | 10.5551i | −0.203928 | − | 0.353214i | ||||
\(894\) | −43.7745 | − | 1.94525i | −1.46404 | − | 0.0650589i | ||||
\(895\) | 3.99387 | + | 2.30586i | 0.133500 | + | 0.0770765i | ||||
\(896\) | −22.6474 | − | 42.9242i | −0.756597 | − | 1.43400i | ||||
\(897\) | 38.5147 | + | 13.5446i | 1.28597 | + | 0.452241i | ||||
\(898\) | −5.40479 | + | 23.0996i | −0.180360 | + | 0.770843i | ||||
\(899\) | 7.64305i | 0.254910i | ||||||||
\(900\) | −22.2455 | − | 1.98100i | −0.741516 | − | 0.0660333i | ||||
\(901\) | 16.8788i | 0.562315i | ||||||||
\(902\) | −7.84671 | − | 1.83596i | −0.261267 | − | 0.0611307i | ||||
\(903\) | −4.77521 | − | 25.4557i | −0.158909 | − | 0.847112i | ||||
\(904\) | 8.17697 | + | 21.8786i | 0.271962 | + | 0.727670i | ||||
\(905\) | 21.8524 | + | 12.6165i | 0.726398 | + | 0.419386i | ||||
\(906\) | 5.70231 | + | 3.63899i | 0.189447 | + | 0.120897i | ||||
\(907\) | 7.99519 | + | 13.8481i | 0.265476 | + | 0.459818i | 0.967688 | − | 0.252150i | \(-0.0811376\pi\) |
−0.702212 | + | 0.711968i | \(0.747804\pi\) | |||||||
\(908\) | 1.29482 | − | 0.0828684i | 0.0429701 | − | 0.00275009i | ||||
\(909\) | −38.3884 | + | 14.9278i | −1.27326 | + | 0.495125i | ||||
\(910\) | 14.3270 | − | 15.2733i | 0.474937 | − | 0.506304i | ||||
\(911\) | −14.1609 | − | 24.5275i | −0.469173 | − | 0.812631i | 0.530206 | − | 0.847869i | \(-0.322115\pi\) |
−0.999379 | + | 0.0352377i | \(0.988781\pi\) | |||||||
\(912\) | −4.95266 | + | 23.1978i | −0.163999 | + | 0.768157i | ||||
\(913\) | −2.68187 | + | 4.64514i | −0.0887570 | + | 0.153732i | ||||
\(914\) | −0.556437 | − | 1.83941i | −0.0184053 | − | 0.0608424i | ||||
\(915\) | −5.42320 | + | 4.65229i | −0.179286 | + | 0.153800i | ||||
\(916\) | −15.3619 | − | 23.0674i | −0.507573 | − | 0.762170i | ||||
\(917\) | 64.6553 | 2.13511 | ||||||||
\(918\) | −3.52673 | − | 10.4164i | −0.116399 | − | 0.343793i | ||||
\(919\) | − | 17.1474i | − | 0.565642i | −0.959173 | − | 0.282821i | \(-0.908730\pi\) | ||
0.959173 | − | 0.282821i | \(-0.0912702\pi\) | |||||||
\(920\) | 4.07611 | − | 24.3393i | 0.134385 | − | 0.802444i | ||||
\(921\) | 1.08341 | + | 1.26294i | 0.0356995 | + | 0.0416151i | ||||
\(922\) | 4.15553 | + | 13.7369i | 0.136855 | + | 0.452402i | ||||
\(923\) | 6.74265 | + | 3.89287i | 0.221937 | + | 0.128135i | ||||
\(924\) | 16.6750 | + | 4.69135i | 0.548566 | + | 0.154334i | ||||
\(925\) | 9.58047 | − | 5.53129i | 0.315004 | − | 0.181868i | ||||
\(926\) | 27.7094 | + | 25.9927i | 0.910589 | + | 0.854174i | ||||
\(927\) | −11.8853 | + | 14.8083i | −0.390363 | + | 0.486368i | ||||
\(928\) | −4.70116 | + | 6.50750i | −0.154323 | + | 0.213619i | ||||
\(929\) | 38.0670 | − | 21.9780i | 1.24894 | − | 0.721075i | 0.278040 | − | 0.960569i | \(-0.410315\pi\) |
0.970898 | + | 0.239495i | \(0.0769818\pi\) | |||||||
\(930\) | −12.5704 | − | 8.02192i | −0.412199 | − | 0.263049i | ||||
\(931\) | −19.5181 | + | 33.8064i | −0.639680 | + | 1.10796i | ||||
\(932\) | 20.5219 | − | 41.4535i | 0.672216 | − | 1.35785i | ||||
\(933\) | 15.3055 | − | 2.87115i | 0.501080 | − | 0.0939972i | ||||
\(934\) | −10.1207 | + | 43.2548i | −0.331158 | + | 1.41534i | ||||
\(935\) | −1.97197 | −0.0644902 | ||||||||
\(936\) | 25.3700 | − | 5.27332i | 0.829244 | − | 0.172364i | ||||
\(937\) | −13.5845 | −0.443786 | −0.221893 | − | 0.975071i | \(-0.571223\pi\) | ||||
−0.221893 | + | 0.975071i | \(0.571223\pi\) | |||||||
\(938\) | 15.4314 | − | 65.9523i | 0.503852 | − | 2.15342i | ||||
\(939\) | 9.83615 | − | 27.9696i | 0.320991 | − | 0.912753i | ||||
\(940\) | 7.21243 | + | 3.57057i | 0.235244 | + | 0.116459i | ||||
\(941\) | −13.5116 | + | 23.4028i | −0.440466 | + | 0.762909i | −0.997724 | − | 0.0674301i | \(-0.978520\pi\) |
0.557258 | + | 0.830339i | \(0.311853\pi\) | |||||||
\(942\) | −0.277686 | + | 6.24884i | −0.00904750 | + | 0.203598i | ||||
\(943\) | −32.6765 | + | 18.8658i | −1.06409 | + | 0.614354i | ||||
\(944\) | 4.42146 | + | 34.4012i | 0.143906 | + | 1.11966i | ||||
\(945\) | 13.3047 | + | 21.3968i | 0.432803 | + | 0.696037i | ||||
\(946\) | −4.19122 | − | 3.93156i | −0.136268 | − | 0.127826i | ||||
\(947\) | 34.5376 | − | 19.9403i | 1.12232 | − | 0.647972i | 0.180328 | − | 0.983607i | \(-0.442284\pi\) |
0.941992 | + | 0.335634i | \(0.108951\pi\) | |||||||
\(948\) | −6.28416 | − | 6.44265i | −0.204100 | − | 0.209247i | ||||
\(949\) | 18.6843 | + | 10.7874i | 0.606516 | + | 0.350172i | ||||
\(950\) | −5.21853 | − | 17.2509i | −0.169312 | − | 0.559694i | ||||
\(951\) | 4.55704 | − | 12.9582i | 0.147772 | − | 0.420198i | ||||
\(952\) | −2.99909 | + | 17.9082i | −0.0972011 | + | 0.580409i | ||||
\(953\) | − | 14.0999i | − | 0.456741i | −0.973574 | − | 0.228371i | \(-0.926660\pi\) | ||
0.973574 | − | 0.228371i | \(-0.0733398\pi\) | |||||||
\(954\) | 17.8632 | − | 44.3917i | 0.578342 | − | 1.43723i | ||||
\(955\) | −16.4465 | −0.532197 | ||||||||
\(956\) | 24.7724 | − | 16.4974i | 0.801197 | − | 0.533563i | ||||
\(957\) | −0.528299 | − | 2.81625i | −0.0170775 | − | 0.0910365i | ||||
\(958\) | −1.98590 | − | 6.56479i | −0.0641615 | − | 0.212099i | ||||
\(959\) | −18.7040 | + | 32.3963i | −0.603983 | + | 1.04613i | ||||
\(960\) | −5.76856 | − | 14.5620i | −0.186179 | − | 0.469986i | ||||
\(961\) | −0.997565 | − | 1.72783i | −0.0321795 | − | 0.0557366i | ||||
\(962\) | −8.78127 | + | 9.36124i | −0.283120 | + | 0.301818i | ||||
\(963\) | 30.9800 | + | 4.76872i | 0.998317 | + | 0.153670i | ||||
\(964\) | −1.50210 | − | 23.4704i | −0.0483795 | − | 0.755930i | ||||
\(965\) | −2.48147 | − | 4.29803i | −0.0798813 | − | 0.138358i | ||||
\(966\) | 71.9704 | − | 37.3945i | 2.31561 | − | 1.20315i | ||||
\(967\) | 45.4687 | + | 26.2514i | 1.46217 | + | 0.844187i | 0.999112 | − | 0.0421387i | \(-0.0134171\pi\) |
0.463063 | + | 0.886326i | \(0.346750\pi\) | |||||||
\(968\) | −25.5435 | + | 9.54672i | −0.821000 | + | 0.306843i | ||||
\(969\) | 6.73582 | − | 5.77832i | 0.216386 | − | 0.185626i | ||||
\(970\) | 10.4560 | + | 2.44646i | 0.335721 | + | 0.0785512i | ||||
\(971\) | − | 61.3864i | − | 1.96998i | −0.172599 | − | 0.984992i | \(-0.555216\pi\) | ||
0.172599 | − | 0.984992i | \(-0.444784\pi\) | |||||||
\(972\) | −1.74853 | + | 31.1278i | −0.0560841 | + | 0.998426i | ||||
\(973\) | 10.2006i | 0.327017i | ||||||||
\(974\) | −7.49625 | + | 32.0383i | −0.240195 | + | 1.02657i | ||||
\(975\) | −14.9432 | + | 12.8190i | −0.478564 | + | 0.410535i | ||||
\(976\) | 13.4696 | + | 5.62787i | 0.431152 | + | 0.180144i | ||||
\(977\) | −25.9568 | − | 14.9862i | −0.830431 | − | 0.479450i | 0.0235691 | − | 0.999722i | \(-0.492497\pi\) |
−0.854000 | + | 0.520273i | \(0.825830\pi\) | |||||||
\(978\) | −7.83049 | − | 15.0708i | −0.250392 | − | 0.481910i | ||||
\(979\) | −5.03471 | − | 8.72037i | −0.160910 | − | 0.278704i | ||||
\(980\) | −1.64629 | − | 25.7233i | −0.0525889 | − | 0.821702i | ||||
\(981\) | −28.6881 | − | 4.41593i | −0.915939 | − | 0.140990i | ||||
\(982\) | 11.2924 | + | 10.5928i | 0.360354 | + | 0.338029i | ||||
\(983\) | 21.1703 | + | 36.6681i | 0.675228 | + | 1.16953i | 0.976402 | + | 0.215961i | \(0.0692883\pi\) |
−0.301174 | + | 0.953569i | \(0.597378\pi\) | |||||||
\(984\) | −11.5671 | + | 20.9689i | −0.368745 | + | 0.668463i | ||||
\(985\) | 4.35037 | − | 7.53506i | 0.138614 | − | 0.240087i | ||||
\(986\) | 2.87488 | − | 0.869673i | 0.0915549 | − | 0.0276960i | ||||
\(987\) | 4.87656 | + | 25.9959i | 0.155223 | + | 0.827460i | ||||
\(988\) | 11.5908 | + | 17.4047i | 0.368752 | + | 0.553717i | ||||
\(989\) | −26.9063 | −0.855572 | ||||||||
\(990\) | 5.18632 | + | 2.08697i | 0.164832 | + | 0.0663283i | ||||
\(991\) | − | 12.3787i | − | 0.393222i | −0.980482 | − | 0.196611i | \(-0.937006\pi\) | ||
0.980482 | − | 0.196611i | \(-0.0629937\pi\) | |||||||
\(992\) | −3.10264 | + | 30.3073i | −0.0985089 | + | 0.962256i | ||||
\(993\) | 5.49735 | − | 15.6320i | 0.174453 | − | 0.496066i | ||||
\(994\) | 14.8043 | − | 4.47842i | 0.469565 | − | 0.142047i | ||||
\(995\) | −20.5370 | − | 11.8571i | −0.651068 | − | 0.375894i | ||||
\(996\) | 11.1296 | + | 11.4103i | 0.352654 | + | 0.361548i | ||||
\(997\) | 6.20535 | − | 3.58266i | 0.196525 | − | 0.113464i | −0.398508 | − | 0.917165i | \(-0.630472\pi\) |
0.595034 | + | 0.803701i | \(0.297139\pi\) | |||||||
\(998\) | 37.6196 | − | 40.1042i | 1.19083 | − | 1.26948i | ||||
\(999\) | −8.15469 | − | 13.1144i | −0.258003 | − | 0.414922i |
(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 | 72.2.l.b.59.8 | yes | 16 | |
3.2 | odd | 2 | 216.2.l.b.179.1 | 16 | |||
4.3 | odd | 2 | 288.2.p.b.239.6 | 16 | |||
8.3 | odd | 2 | inner | 72.2.l.b.59.6 | yes | 16 | |
8.5 | even | 2 | 288.2.p.b.239.5 | 16 | |||
9.2 | odd | 6 | inner | 72.2.l.b.11.6 | ✓ | 16 | |
9.4 | even | 3 | 648.2.f.b.323.6 | 16 | |||
9.5 | odd | 6 | 648.2.f.b.323.11 | 16 | |||
9.7 | even | 3 | 216.2.l.b.35.3 | 16 | |||
12.11 | even | 2 | 864.2.p.b.719.4 | 16 | |||
24.5 | odd | 2 | 864.2.p.b.719.5 | 16 | |||
24.11 | even | 2 | 216.2.l.b.179.3 | 16 | |||
36.7 | odd | 6 | 864.2.p.b.143.5 | 16 | |||
36.11 | even | 6 | 288.2.p.b.47.5 | 16 | |||
36.23 | even | 6 | 2592.2.f.b.1295.10 | 16 | |||
36.31 | odd | 6 | 2592.2.f.b.1295.8 | 16 | |||
72.5 | odd | 6 | 2592.2.f.b.1295.7 | 16 | |||
72.11 | even | 6 | inner | 72.2.l.b.11.8 | yes | 16 | |
72.13 | even | 6 | 2592.2.f.b.1295.9 | 16 | |||
72.29 | odd | 6 | 288.2.p.b.47.6 | 16 | |||
72.43 | odd | 6 | 216.2.l.b.35.1 | 16 | |||
72.59 | even | 6 | 648.2.f.b.323.5 | 16 | |||
72.61 | even | 6 | 864.2.p.b.143.4 | 16 | |||
72.67 | odd | 6 | 648.2.f.b.323.12 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.2.l.b.11.6 | ✓ | 16 | 9.2 | odd | 6 | inner | |
72.2.l.b.11.8 | yes | 16 | 72.11 | even | 6 | inner | |
72.2.l.b.59.6 | yes | 16 | 8.3 | odd | 2 | inner | |
72.2.l.b.59.8 | yes | 16 | 1.1 | even | 1 | trivial | |
216.2.l.b.35.1 | 16 | 72.43 | odd | 6 | |||
216.2.l.b.35.3 | 16 | 9.7 | even | 3 | |||
216.2.l.b.179.1 | 16 | 3.2 | odd | 2 | |||
216.2.l.b.179.3 | 16 | 24.11 | even | 2 | |||
288.2.p.b.47.5 | 16 | 36.11 | even | 6 | |||
288.2.p.b.47.6 | 16 | 72.29 | odd | 6 | |||
288.2.p.b.239.5 | 16 | 8.5 | even | 2 | |||
288.2.p.b.239.6 | 16 | 4.3 | odd | 2 | |||
648.2.f.b.323.5 | 16 | 72.59 | even | 6 | |||
648.2.f.b.323.6 | 16 | 9.4 | even | 3 | |||
648.2.f.b.323.11 | 16 | 9.5 | odd | 6 | |||
648.2.f.b.323.12 | 16 | 72.67 | odd | 6 | |||
864.2.p.b.143.4 | 16 | 72.61 | even | 6 | |||
864.2.p.b.143.5 | 16 | 36.7 | odd | 6 | |||
864.2.p.b.719.4 | 16 | 12.11 | even | 2 | |||
864.2.p.b.719.5 | 16 | 24.5 | odd | 2 | |||
2592.2.f.b.1295.7 | 16 | 72.5 | odd | 6 | |||
2592.2.f.b.1295.8 | 16 | 36.31 | odd | 6 | |||
2592.2.f.b.1295.9 | 16 | 72.13 | even | 6 | |||
2592.2.f.b.1295.10 | 16 | 36.23 | even | 6 |