Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [90,2,Mod(23,90)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(90, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("90.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 90 = 2 \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 90.l (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.718653618192\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.1 | ||
Root | \(0.258819 + 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 90.83 |
Dual form | 90.2.l.a.77.1 |
$q$-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 \(\left(\mathbb{Z}/90\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | 0.599900 | + | 1.62484i | 0.346353 | + | 0.938104i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 0.792893 | − | 2.09077i | 0.354593 | − | 0.935021i | ||||
\(6\) | −1.00000 | − | 1.41421i | −0.408248 | − | 0.577350i | ||||
\(7\) | 1.18034 | + | 4.40508i | 0.446126 | + | 1.66497i | 0.712946 | + | 0.701219i | \(0.247360\pi\) |
−0.266820 | + | 0.963746i | \(0.585973\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −2.28024 | + | 1.94949i | −0.760080 | + | 0.649830i | ||||
\(10\) | −0.224745 | + | 2.22474i | −0.0710706 | + | 0.703526i | ||||
\(11\) | −0.550510 | − | 0.317837i | −0.165985 | − | 0.0958315i | 0.414706 | − | 0.909955i | \(-0.363884\pi\) |
−0.580691 | + | 0.814124i | \(0.697218\pi\) | |||||||
\(12\) | 1.33195 | + | 1.10721i | 0.384501 | + | 0.319623i | ||||
\(13\) | 0.896575 | − | 3.34607i | 0.248665 | − | 0.928032i | −0.722840 | − | 0.691015i | \(-0.757164\pi\) |
0.971506 | − | 0.237016i | \(-0.0761695\pi\) | |||||||
\(14\) | −2.28024 | − | 3.94949i | −0.609419 | − | 1.05555i | ||||
\(15\) | 3.87283 | + | 0.0340742i | 0.999961 | + | 0.00879791i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −0.317837 | − | 0.317837i | −0.0770869 | − | 0.0770869i | 0.667512 | − | 0.744599i | \(-0.267359\pi\) |
−0.744599 | + | 0.667512i | \(0.767359\pi\) | |||||||
\(18\) | 1.69798 | − | 2.47323i | 0.400217 | − | 0.582946i | ||||
\(19\) | − | 6.44949i | − | 1.47961i | −0.672819 | − | 0.739807i | \(-0.734917\pi\) | ||
0.672819 | − | 0.739807i | \(-0.265083\pi\) | |||||||
\(20\) | −0.358719 | − | 2.20711i | −0.0802121 | − | 0.493524i | ||||
\(21\) | −6.44949 | + | 4.56048i | −1.40739 | + | 0.995178i | ||||
\(22\) | 0.614014 | + | 0.164525i | 0.130908 | + | 0.0350768i | ||||
\(23\) | −0.965926 | − | 0.258819i | −0.201409 | − | 0.0539675i | 0.156704 | − | 0.987646i | \(-0.449913\pi\) |
−0.358113 | + | 0.933678i | \(0.616580\pi\) | |||||||
\(24\) | −1.57313 | − | 0.724745i | −0.321114 | − | 0.147938i | ||||
\(25\) | −3.74264 | − | 3.31552i | −0.748528 | − | 0.663103i | ||||
\(26\) | 3.46410i | 0.679366i | ||||||||
\(27\) | −4.53553 | − | 2.53553i | −0.872864 | − | 0.487964i | ||||
\(28\) | 3.22474 | + | 3.22474i | 0.609419 | + | 0.609419i | ||||
\(29\) | 0.158919 | − | 0.275255i | 0.0295104 | − | 0.0511136i | −0.850893 | − | 0.525339i | \(-0.823939\pi\) |
0.880403 | + | 0.474225i | \(0.157272\pi\) | |||||||
\(30\) | −3.74969 | + | 0.969450i | −0.684596 | + | 0.176997i | ||||
\(31\) | −0.224745 | − | 0.389270i | −0.0403654 | − | 0.0699149i | 0.845137 | − | 0.534550i | \(-0.179519\pi\) |
−0.885502 | + | 0.464635i | \(0.846186\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 0.186185 | − | 1.08516i | 0.0324106 | − | 0.188903i | ||||
\(34\) | 0.389270 | + | 0.224745i | 0.0667592 | + | 0.0385434i | ||||
\(35\) | 10.1459 | + | 1.02494i | 1.71497 | + | 0.173247i | ||||
\(36\) | −1.00000 | + | 2.82843i | −0.166667 | + | 0.471405i | ||||
\(37\) | −3.00000 | + | 3.00000i | −0.493197 | + | 0.493197i | −0.909312 | − | 0.416115i | \(-0.863391\pi\) |
0.416115 | + | 0.909312i | \(0.363391\pi\) | |||||||
\(38\) | 1.66925 | + | 6.22973i | 0.270788 | + | 1.01060i | ||||
\(39\) | 5.97469 | − | 0.550510i | 0.956716 | − | 0.0881522i | ||||
\(40\) | 0.917738 | + | 2.03906i | 0.145107 | + | 0.322403i | ||||
\(41\) | 6.39898 | − | 3.69445i | 0.999353 | − | 0.576977i | 0.0912960 | − | 0.995824i | \(-0.470899\pi\) |
0.908057 | + | 0.418847i | \(0.137566\pi\) | |||||||
\(42\) | 5.04939 | − | 6.07433i | 0.779138 | − | 0.937290i | ||||
\(43\) | 3.34607 | − | 0.896575i | 0.510270 | − | 0.136726i | 0.00550783 | − | 0.999985i | \(-0.498247\pi\) |
0.504762 | + | 0.863258i | \(0.331580\pi\) | |||||||
\(44\) | −0.635674 | −0.0958315 | ||||||||
\(45\) | 2.26795 | + | 6.31319i | 0.338086 | + | 0.941115i | ||||
\(46\) | 1.00000 | 0.147442 | ||||||||
\(47\) | −8.69333 | + | 2.32937i | −1.26805 | + | 0.339774i | −0.829285 | − | 0.558827i | \(-0.811252\pi\) |
−0.438768 | + | 0.898600i | \(0.644585\pi\) | |||||||
\(48\) | 1.70711 | + | 0.292893i | 0.246400 | + | 0.0422755i | ||||
\(49\) | −11.9494 | + | 6.89898i | −1.70705 | + | 0.985568i | ||||
\(50\) | 4.47323 | + | 2.23388i | 0.632611 | + | 0.315918i | ||||
\(51\) | 0.325765 | − | 0.707107i | 0.0456163 | − | 0.0990148i | ||||
\(52\) | −0.896575 | − | 3.34607i | −0.124333 | − | 0.464016i | ||||
\(53\) | −3.78194 | + | 3.78194i | −0.519489 | + | 0.519489i | −0.917417 | − | 0.397928i | \(-0.869730\pi\) |
0.397928 | + | 0.917417i | \(0.369730\pi\) | |||||||
\(54\) | 5.03723 | + | 1.27526i | 0.685481 | + | 0.173540i | ||||
\(55\) | −1.10102 | + | 0.898979i | −0.148462 | + | 0.121218i | ||||
\(56\) | −3.94949 | − | 2.28024i | −0.527773 | − | 0.304710i | ||||
\(57\) | 10.4794 | − | 3.86905i | 1.38803 | − | 0.512468i | ||||
\(58\) | −0.0822623 | + | 0.307007i | −0.0108016 | + | 0.0403120i | ||||
\(59\) | 4.48905 | + | 7.77526i | 0.584424 | + | 1.01225i | 0.994947 | + | 0.100402i | \(0.0320128\pi\) |
−0.410523 | + | 0.911850i | \(0.634654\pi\) | |||||||
\(60\) | 3.37101 | − | 1.90691i | 0.435195 | − | 0.246181i | ||||
\(61\) | 0.275255 | − | 0.476756i | 0.0352428 | − | 0.0610423i | −0.847866 | − | 0.530211i | \(-0.822113\pi\) |
0.883109 | + | 0.469168i | \(0.155446\pi\) | |||||||
\(62\) | 0.317837 | + | 0.317837i | 0.0403654 | + | 0.0403654i | ||||
\(63\) | −11.2791 | − | 7.74358i | −1.42104 | − | 0.975600i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −6.28497 | − | 4.52761i | −0.779554 | − | 0.561580i | ||||
\(66\) | 0.101021 | + | 1.09638i | 0.0124348 | + | 0.134955i | ||||
\(67\) | 6.38512 | + | 1.71089i | 0.780067 | + | 0.209018i | 0.626814 | − | 0.779169i | \(-0.284358\pi\) |
0.153253 | + | 0.988187i | \(0.451025\pi\) | |||||||
\(68\) | −0.434174 | − | 0.116337i | −0.0526513 | − | 0.0141079i | ||||
\(69\) | −0.158919 | − | 1.72474i | −0.0191316 | − | 0.207635i | ||||
\(70\) | −10.0655 | + | 1.63593i | −1.20305 | + | 0.195531i | ||||
\(71\) | 6.29253i | 0.746786i | 0.927673 | + | 0.373393i | \(0.121806\pi\) | ||||
−0.927673 | + | 0.373393i | \(0.878194\pi\) | |||||||
\(72\) | 0.233875 | − | 2.99087i | 0.0275624 | − | 0.352477i | ||||
\(73\) | −6.89898 | − | 6.89898i | −0.807464 | − | 0.807464i | 0.176785 | − | 0.984249i | \(-0.443430\pi\) |
−0.984249 | + | 0.176785i | \(0.943430\pi\) | |||||||
\(74\) | 2.12132 | − | 3.67423i | 0.246598 | − | 0.427121i | ||||
\(75\) | 3.14198 | − | 8.07019i | 0.362805 | − | 0.931865i | ||||
\(76\) | −3.22474 | − | 5.58542i | −0.369904 | − | 0.640692i | ||||
\(77\) | 0.750311 | − | 2.80020i | 0.0855059 | − | 0.319112i | ||||
\(78\) | −5.62863 | + | 2.07812i | −0.637316 | + | 0.235300i | ||||
\(79\) | 2.12132 | + | 1.22474i | 0.238667 | + | 0.137795i | 0.614564 | − | 0.788867i | \(-0.289332\pi\) |
−0.375897 | + | 0.926662i | \(0.622665\pi\) | |||||||
\(80\) | −1.41421 | − | 1.73205i | −0.158114 | − | 0.193649i | ||||
\(81\) | 1.39898 | − | 8.89060i | 0.155442 | − | 0.987845i | ||||
\(82\) | −5.22474 | + | 5.22474i | −0.576977 | + | 0.576977i | ||||
\(83\) | 1.41043 | + | 5.26380i | 0.154815 | + | 0.577777i | 0.999121 | + | 0.0419163i | \(0.0133463\pi\) |
−0.844306 | + | 0.535861i | \(0.819987\pi\) | |||||||
\(84\) | −3.30518 | + | 7.17423i | −0.360625 | + | 0.782773i | ||||
\(85\) | −0.916536 | + | 0.412514i | −0.0994123 | + | 0.0447434i | ||||
\(86\) | −3.00000 | + | 1.73205i | −0.323498 | + | 0.186772i | ||||
\(87\) | 0.542582 | + | 0.0930924i | 0.0581709 | + | 0.00998055i | ||||
\(88\) | 0.614014 | − | 0.164525i | 0.0654542 | − | 0.0175384i | ||||
\(89\) | 8.02458 | 0.850604 | 0.425302 | − | 0.905052i | \(-0.360168\pi\) | ||||
0.425302 | + | 0.905052i | \(0.360168\pi\) | |||||||
\(90\) | −3.82465 | − | 5.51109i | −0.403153 | − | 0.580920i | ||||
\(91\) | 15.7980 | 1.65608 | ||||||||
\(92\) | −0.965926 | + | 0.258819i | −0.100705 | + | 0.0269838i | ||||
\(93\) | 0.497678 | − | 0.598698i | 0.0516068 | − | 0.0620821i | ||||
\(94\) | 7.79423 | − | 4.50000i | 0.803913 | − | 0.464140i | ||||
\(95\) | −13.4844 | − | 5.11376i | −1.38347 | − | 0.524660i | ||||
\(96\) | −1.72474 | + | 0.158919i | −0.176031 | + | 0.0162196i | ||||
\(97\) | 0.695075 | + | 2.59405i | 0.0705741 | + | 0.263386i | 0.992193 | − | 0.124709i | \(-0.0397998\pi\) |
−0.921619 | + | 0.388095i | \(0.873133\pi\) | |||||||
\(98\) | 9.75663 | − | 9.75663i | 0.985568 | − | 0.985568i | ||||
\(99\) | 1.87492 | − | 0.348469i | 0.188436 | − | 0.0350225i | ||||
\(100\) | −4.89898 | − | 1.00000i | −0.489898 | − | 0.100000i | ||||
\(101\) | 10.8990 | + | 6.29253i | 1.08449 | + | 0.626130i | 0.932104 | − | 0.362191i | \(-0.117971\pi\) |
0.152385 | + | 0.988321i | \(0.451305\pi\) | |||||||
\(102\) | −0.131652 | + | 0.767327i | −0.0130355 | + | 0.0759767i | ||||
\(103\) | −2.52520 | + | 9.42418i | −0.248816 | + | 0.928592i | 0.722612 | + | 0.691254i | \(0.242942\pi\) |
−0.971427 | + | 0.237338i | \(0.923725\pi\) | |||||||
\(104\) | 1.73205 | + | 3.00000i | 0.169842 | + | 0.294174i | ||||
\(105\) | 4.42116 | + | 17.1004i | 0.431461 | + | 1.66883i | ||||
\(106\) | 2.67423 | − | 4.63191i | 0.259745 | − | 0.449891i | ||||
\(107\) | −13.6100 | − | 13.6100i | −1.31573 | − | 1.31573i | −0.917122 | − | 0.398606i | \(-0.869494\pi\) |
−0.398606 | − | 0.917122i | \(-0.630506\pi\) | |||||||
\(108\) | −5.19565 | + | 0.0719302i | −0.499952 | + | 0.00692148i | ||||
\(109\) | 5.65153i | 0.541318i | 0.962675 | + | 0.270659i | \(0.0872417\pi\) | ||||
−0.962675 | + | 0.270659i | \(0.912758\pi\) | |||||||
\(110\) | 0.830831 | − | 1.15331i | 0.0792166 | − | 0.109964i | ||||
\(111\) | −6.67423 | − | 3.07483i | −0.633490 | − | 0.291850i | ||||
\(112\) | 4.40508 | + | 1.18034i | 0.416241 | + | 0.111532i | ||||
\(113\) | −5.60040 | − | 1.50062i | −0.526841 | − | 0.141167i | −0.0144120 | − | 0.999896i | \(-0.504588\pi\) |
−0.512429 | + | 0.858729i | \(0.671254\pi\) | |||||||
\(114\) | −9.12096 | + | 6.44949i | −0.854256 | + | 0.604050i | ||||
\(115\) | −1.30701 | + | 1.81431i | −0.121879 | + | 0.169186i | ||||
\(116\) | − | 0.317837i | − | 0.0295104i | ||||||
\(117\) | 4.47871 | + | 9.37769i | 0.414057 | + | 0.866968i | ||||
\(118\) | −6.34847 | − | 6.34847i | −0.584424 | − | 0.584424i | ||||
\(119\) | 1.02494 | − | 1.77526i | 0.0939565 | − | 0.162737i | ||||
\(120\) | −2.76260 | + | 2.71441i | −0.252190 | + | 0.247791i | ||||
\(121\) | −5.29796 | − | 9.17633i | −0.481633 | − | 0.834212i | ||||
\(122\) | −0.142483 | + | 0.531752i | −0.0128998 | + | 0.0481426i | ||||
\(123\) | 9.84166 | + | 8.18104i | 0.887393 | + | 0.737660i | ||||
\(124\) | −0.389270 | − | 0.224745i | −0.0349574 | − | 0.0201827i | ||||
\(125\) | −9.89949 | + | 5.19615i | −0.885438 | + | 0.464758i | ||||
\(126\) | 12.8990 | + | 4.56048i | 1.14913 | + | 0.406280i | ||||
\(127\) | 1.87628 | − | 1.87628i | 0.166493 | − | 0.166493i | −0.618943 | − | 0.785436i | \(-0.712439\pi\) |
0.785436 | + | 0.618943i | \(0.212439\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 3.46410 | + | 4.89898i | 0.304997 | + | 0.431331i | ||||
\(130\) | 7.24264 | + | 2.74666i | 0.635222 | + | 0.240898i | ||||
\(131\) | −3.12372 | + | 1.80348i | −0.272921 | + | 0.157571i | −0.630214 | − | 0.776421i | \(-0.717033\pi\) |
0.357293 | + | 0.933992i | \(0.383700\pi\) | |||||||
\(132\) | −0.381341 | − | 1.03287i | −0.0331915 | − | 0.0899000i | ||||
\(133\) | 28.4105 | − | 7.61258i | 2.46351 | − | 0.660095i | ||||
\(134\) | −6.61037 | −0.571049 | ||||||||
\(135\) | −8.89741 | + | 7.47235i | −0.765767 | + | 0.643118i | ||||
\(136\) | 0.449490 | 0.0385434 | ||||||||
\(137\) | 21.0552 | − | 5.64173i | 1.79887 | − | 0.482005i | 0.805068 | − | 0.593183i | \(-0.202129\pi\) |
0.993801 | + | 0.111178i | \(0.0354623\pi\) | |||||||
\(138\) | 0.599900 | + | 1.62484i | 0.0510669 | + | 0.138316i | ||||
\(139\) | −2.68556 | + | 1.55051i | −0.227786 | + | 0.131513i | −0.609550 | − | 0.792747i | \(-0.708650\pi\) |
0.381764 | + | 0.924260i | \(0.375317\pi\) | |||||||
\(140\) | 9.29908 | − | 4.18532i | 0.785916 | − | 0.353724i | ||||
\(141\) | −9.00000 | − | 12.7279i | −0.757937 | − | 1.07188i | ||||
\(142\) | −1.62863 | − | 6.07812i | −0.136671 | − | 0.510064i | ||||
\(143\) | −1.55708 | + | 1.55708i | −0.130209 | + | 0.130209i | ||||
\(144\) | 0.548188 | + | 2.94949i | 0.0456823 | + | 0.245791i | ||||
\(145\) | −0.449490 | − | 0.550510i | −0.0373281 | − | 0.0457174i | ||||
\(146\) | 8.44949 | + | 4.87832i | 0.699285 | + | 0.403732i | ||||
\(147\) | −18.3782 | − | 15.2772i | −1.51581 | − | 1.26004i | ||||
\(148\) | −1.09808 | + | 4.09808i | −0.0902613 | + | 0.336860i | ||||
\(149\) | −2.20881 | − | 3.82577i | −0.180952 | − | 0.313419i | 0.761253 | − | 0.648455i | \(-0.224585\pi\) |
−0.942205 | + | 0.335036i | \(0.891251\pi\) | |||||||
\(150\) | −0.946206 | + | 8.60841i | −0.0772574 | + | 0.702874i | ||||
\(151\) | −8.79796 | + | 15.2385i | −0.715968 | + | 1.24009i | 0.246617 | + | 0.969113i | \(0.420681\pi\) |
−0.962585 | + | 0.270980i | \(0.912652\pi\) | |||||||
\(152\) | 4.56048 | + | 4.56048i | 0.369904 | + | 0.369904i | ||||
\(153\) | 1.34437 | + | 0.105124i | 0.108685 | + | 0.00849881i | ||||
\(154\) | 2.89898i | 0.233606i | ||||||||
\(155\) | −0.992072 | + | 0.161241i | −0.0796851 | + | 0.0129512i | ||||
\(156\) | 4.89898 | − | 3.46410i | 0.392232 | − | 0.277350i | ||||
\(157\) | 14.1363 | + | 3.78780i | 1.12820 | + | 0.302300i | 0.774196 | − | 0.632945i | \(-0.218154\pi\) |
0.354001 | + | 0.935245i | \(0.384821\pi\) | |||||||
\(158\) | −2.36603 | − | 0.633975i | −0.188231 | − | 0.0504363i | ||||
\(159\) | −8.41385 | − | 3.87628i | −0.667262 | − | 0.307409i | ||||
\(160\) | 1.81431 | + | 1.30701i | 0.143434 | + | 0.103328i | ||||
\(161\) | − | 4.56048i | − | 0.359416i | ||||||
\(162\) | 0.949747 | + | 8.94975i | 0.0746192 | + | 0.703159i | ||||
\(163\) | 4.44949 | + | 4.44949i | 0.348511 | + | 0.348511i | 0.859555 | − | 0.511044i | \(-0.170741\pi\) |
−0.511044 | + | 0.859555i | \(0.670741\pi\) | |||||||
\(164\) | 3.69445 | − | 6.39898i | 0.288488 | − | 0.499676i | ||||
\(165\) | −2.12120 | − | 1.24969i | −0.165136 | − | 0.0972881i | ||||
\(166\) | −2.72474 | − | 4.71940i | −0.211481 | − | 0.366296i | ||||
\(167\) | −2.27708 | + | 8.49818i | −0.176206 | + | 0.657609i | 0.820137 | + | 0.572167i | \(0.193897\pi\) |
−0.996343 | + | 0.0854420i | \(0.972770\pi\) | |||||||
\(168\) | 1.33573 | − | 7.78522i | 0.103054 | − | 0.600643i | ||||
\(169\) | 0.866025 | + | 0.500000i | 0.0666173 | + | 0.0384615i | ||||
\(170\) | 0.778539 | − | 0.635674i | 0.0597112 | − | 0.0487540i | ||||
\(171\) | 12.5732 | + | 14.7064i | 0.961498 | + | 1.12462i | ||||
\(172\) | 2.44949 | − | 2.44949i | 0.186772 | − | 0.186772i | ||||
\(173\) | −3.33850 | − | 12.4595i | −0.253822 | − | 0.947275i | −0.968742 | − | 0.248069i | \(-0.920204\pi\) |
0.714921 | − | 0.699206i | \(-0.246463\pi\) | |||||||
\(174\) | −0.548188 | + | 0.0505103i | −0.0415580 | + | 0.00382917i | ||||
\(175\) | 10.1875 | − | 20.4001i | 0.770105 | − | 1.54210i | ||||
\(176\) | −0.550510 | + | 0.317837i | −0.0414963 | + | 0.0239579i | ||||
\(177\) | −9.94060 | + | 11.9584i | −0.747181 | + | 0.898847i | ||||
\(178\) | −7.75115 | + | 2.07691i | −0.580973 | + | 0.155671i | ||||
\(179\) | −10.6780 | −0.798114 | −0.399057 | − | 0.916926i | \(-0.630662\pi\) | ||||
−0.399057 | + | 0.916926i | \(0.630662\pi\) | |||||||
\(180\) | 5.12070 | + | 4.33341i | 0.381674 | + | 0.322993i | ||||
\(181\) | −15.4495 | −1.14835 | −0.574176 | − | 0.818732i | \(-0.694677\pi\) | ||||
−0.574176 | + | 0.818732i | \(0.694677\pi\) | |||||||
\(182\) | −15.2597 | + | 4.08881i | −1.13112 | + | 0.303083i | ||||
\(183\) | 0.939780 | + | 0.161241i | 0.0694705 | + | 0.0119193i | ||||
\(184\) | 0.866025 | − | 0.500000i | 0.0638442 | − | 0.0368605i | ||||
\(185\) | 3.89363 | + | 8.65099i | 0.286265 | + | 0.636033i | ||||
\(186\) | −0.325765 | + | 0.707107i | −0.0238863 | + | 0.0518476i | ||||
\(187\) | 0.0739521 | + | 0.275993i | 0.00540792 | + | 0.0201826i | ||||
\(188\) | −6.36396 | + | 6.36396i | −0.464140 | + | 0.464140i | ||||
\(189\) | 5.81577 | − | 22.9722i | 0.423035 | − | 1.67098i | ||||
\(190\) | 14.3485 | + | 1.44949i | 1.04095 | + | 0.105157i | ||||
\(191\) | −15.1237 | − | 8.73169i | −1.09431 | − | 0.631803i | −0.159593 | − | 0.987183i | \(-0.551018\pi\) |
−0.934722 | + | 0.355380i | \(0.884351\pi\) | |||||||
\(192\) | 1.62484 | − | 0.599900i | 0.117263 | − | 0.0432941i | ||||
\(193\) | −4.48288 | + | 16.7303i | −0.322685 | + | 1.20428i | 0.593934 | + | 0.804513i | \(0.297574\pi\) |
−0.916619 | + | 0.399762i | \(0.869093\pi\) | |||||||
\(194\) | −1.34278 | − | 2.32577i | −0.0964061 | − | 0.166980i | ||||
\(195\) | 3.58630 | − | 12.9282i | 0.256820 | − | 0.925808i | ||||
\(196\) | −6.89898 | + | 11.9494i | −0.492784 | + | 0.853527i | ||||
\(197\) | −6.92820 | − | 6.92820i | −0.493614 | − | 0.493614i | 0.415829 | − | 0.909443i | \(-0.363492\pi\) |
−0.909443 | + | 0.415829i | \(0.863492\pi\) | |||||||
\(198\) | −1.72084 | + | 0.821859i | −0.122295 | + | 0.0584070i | ||||
\(199\) | − | 8.44949i | − | 0.598968i | −0.954101 | − | 0.299484i | \(-0.903185\pi\) | ||
0.954101 | − | 0.299484i | \(-0.0968146\pi\) | |||||||
\(200\) | 4.99087 | − | 0.302023i | 0.352908 | − | 0.0213563i | ||||
\(201\) | 1.05051 | + | 11.4012i | 0.0740973 | + | 0.804178i | ||||
\(202\) | −12.1562 | − | 3.25725i | −0.855310 | − | 0.229179i | ||||
\(203\) | 1.40010 | + | 0.375156i | 0.0982677 | + | 0.0263308i | ||||
\(204\) | −0.0714323 | − | 0.775255i | −0.00500126 | − | 0.0542787i | ||||
\(205\) | −2.65054 | − | 16.3081i | −0.185122 | − | 1.13901i | ||||
\(206\) | − | 9.75663i | − | 0.679777i | ||||||
\(207\) | 2.70711 | − | 1.29289i | 0.188157 | − | 0.0898623i | ||||
\(208\) | −2.44949 | − | 2.44949i | −0.169842 | − | 0.169842i | ||||
\(209\) | −2.04989 | + | 3.55051i | −0.141794 | + | 0.245594i | ||||
\(210\) | −8.69641 | − | 15.3734i | −0.600109 | − | 1.06087i | ||||
\(211\) | −4.55051 | − | 7.88171i | −0.313270 | − | 0.542600i | 0.665798 | − | 0.746132i | \(-0.268091\pi\) |
−0.979068 | + | 0.203532i | \(0.934758\pi\) | |||||||
\(212\) | −1.38429 | + | 5.16622i | −0.0950731 | + | 0.354818i | ||||
\(213\) | −10.2244 | + | 3.77489i | −0.700563 | + | 0.258651i | ||||
\(214\) | 16.6688 | + | 9.62372i | 1.13945 | + | 0.657864i | ||||
\(215\) | 0.778539 | − | 7.70674i | 0.0530959 | − | 0.525595i | ||||
\(216\) | 5.00000 | − | 1.41421i | 0.340207 | − | 0.0962250i | ||||
\(217\) | 1.44949 | − | 1.44949i | 0.0983978 | − | 0.0983978i | ||||
\(218\) | −1.46272 | − | 5.45896i | −0.0990682 | − | 0.369727i | ||||
\(219\) | 7.07107 | − | 15.3485i | 0.477818 | − | 1.03715i | ||||
\(220\) | −0.504022 | + | 1.32905i | −0.0339812 | + | 0.0896045i | ||||
\(221\) | −1.34847 | + | 0.778539i | −0.0907079 | + | 0.0523702i | ||||
\(222\) | 7.24264 | + | 1.24264i | 0.486094 | + | 0.0834006i | ||||
\(223\) | −24.7575 | + | 6.63374i | −1.65788 | + | 0.444228i | −0.961804 | − | 0.273738i | \(-0.911740\pi\) |
−0.696078 | + | 0.717966i | \(0.745073\pi\) | |||||||
\(224\) | −4.56048 | −0.304710 | ||||||||
\(225\) | 14.9977 | + | 0.263927i | 0.999845 | + | 0.0175951i | ||||
\(226\) | 5.79796 | 0.385674 | ||||||||
\(227\) | 24.0506 | − | 6.44433i | 1.59629 | − | 0.427725i | 0.652372 | − | 0.757899i | \(-0.273774\pi\) |
0.943920 | + | 0.330174i | \(0.107107\pi\) | |||||||
\(228\) | 7.14092 | − | 8.59041i | 0.472919 | − | 0.568914i | ||||
\(229\) | 1.43027 | − | 0.825765i | 0.0945147 | − | 0.0545681i | −0.451998 | − | 0.892019i | \(-0.649288\pi\) |
0.546512 | + | 0.837451i | \(0.315955\pi\) | |||||||
\(230\) | 0.792893 | − | 2.09077i | 0.0522818 | − | 0.137861i | ||||
\(231\) | 5.00000 | − | 0.460702i | 0.328976 | − | 0.0303120i | ||||
\(232\) | 0.0822623 | + | 0.307007i | 0.00540079 | + | 0.0201560i | ||||
\(233\) | 14.4600 | − | 14.4600i | 0.947304 | − | 0.947304i | −0.0513751 | − | 0.998679i | \(-0.516360\pi\) |
0.998679 | + | 0.0513751i | \(0.0163604\pi\) | |||||||
\(234\) | −6.75323 | − | 7.89898i | −0.441472 | − | 0.516372i | ||||
\(235\) | −2.02270 | + | 20.0227i | −0.131947 | + | 1.30614i | ||||
\(236\) | 7.77526 | + | 4.48905i | 0.506126 | + | 0.292212i | ||||
\(237\) | −0.717439 | + | 4.18154i | −0.0466027 | + | 0.271620i | ||||
\(238\) | −0.530550 | + | 1.98004i | −0.0343905 | + | 0.128347i | ||||
\(239\) | 8.48528 | + | 14.6969i | 0.548867 | + | 0.950666i | 0.998353 | + | 0.0573782i | \(0.0182741\pi\) |
−0.449485 | + | 0.893288i | \(0.648393\pi\) | |||||||
\(240\) | 1.96593 | − | 3.33694i | 0.126900 | − | 0.215398i | ||||
\(241\) | −9.50000 | + | 16.4545i | −0.611949 | + | 1.05993i | 0.378963 | + | 0.925412i | \(0.376281\pi\) |
−0.990912 | + | 0.134515i | \(0.957053\pi\) | |||||||
\(242\) | 7.49245 | + | 7.49245i | 0.481633 | + | 0.481633i | ||||
\(243\) | 15.2851 | − | 3.06035i | 0.980540 | − | 0.196322i | ||||
\(244\) | − | 0.550510i | − | 0.0352428i | ||||||
\(245\) | 4.94960 | + | 30.4536i | 0.316218 | + | 1.94561i | ||||
\(246\) | −11.6237 | − | 5.35507i | −0.741102 | − | 0.341427i | ||||
\(247\) | −21.5804 | − | 5.78245i | −1.37313 | − | 0.367929i | ||||
\(248\) | 0.434174 | + | 0.116337i | 0.0275701 | + | 0.00738738i | ||||
\(249\) | −7.70674 | + | 5.44949i | −0.488395 | + | 0.345347i | ||||
\(250\) | 8.21731 | − | 7.58128i | 0.519709 | − | 0.479482i | ||||
\(251\) | 2.68556i | 0.169511i | 0.996402 | + | 0.0847556i | \(0.0270110\pi\) | ||||
−0.996402 | + | 0.0847556i | \(0.972989\pi\) | |||||||
\(252\) | −13.6398 | − | 1.06658i | −0.859226 | − | 0.0671883i | ||||
\(253\) | 0.449490 | + | 0.449490i | 0.0282592 | + | 0.0282592i | ||||
\(254\) | −1.32673 | + | 2.29796i | −0.0832463 | + | 0.144187i | ||||
\(255\) | −1.22010 | − | 1.24176i | −0.0764057 | − | 0.0777621i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −4.67050 | + | 17.4305i | −0.291337 | + | 1.08729i | 0.652745 | + | 0.757578i | \(0.273617\pi\) |
−0.944083 | + | 0.329709i | \(0.893049\pi\) | |||||||
\(258\) | −4.61401 | − | 3.83548i | −0.287256 | − | 0.238786i | ||||
\(259\) | −16.7563 | − | 9.67423i | −1.04118 | − | 0.601128i | ||||
\(260\) | −7.70674 | − | 0.778539i | −0.477952 | − | 0.0482829i | ||||
\(261\) | 0.174235 | + | 0.937458i | 0.0107849 | + | 0.0580272i | ||||
\(262\) | 2.55051 | − | 2.55051i | 0.157571 | − | 0.157571i | ||||
\(263\) | 4.32149 | + | 16.1280i | 0.266474 | + | 0.994495i | 0.961342 | + | 0.275358i | \(0.0887963\pi\) |
−0.694868 | + | 0.719138i | \(0.744537\pi\) | |||||||
\(264\) | 0.635674 | + | 0.898979i | 0.0391231 | + | 0.0553284i | ||||
\(265\) | 4.90849 | + | 10.9058i | 0.301526 | + | 0.669940i | ||||
\(266\) | −25.4722 | + | 14.7064i | −1.56180 | + | 0.901706i | ||||
\(267\) | 4.81395 | + | 13.0387i | 0.294609 | + | 0.797955i | ||||
\(268\) | 6.38512 | − | 1.71089i | 0.390033 | − | 0.104509i | ||||
\(269\) | 15.0956 | 0.920398 | 0.460199 | − | 0.887816i | \(-0.347778\pi\) | ||||
0.460199 | + | 0.887816i | \(0.347778\pi\) | |||||||
\(270\) | 6.66025 | − | 9.52056i | 0.405330 | − | 0.579403i | ||||
\(271\) | 28.0454 | 1.70364 | 0.851819 | − | 0.523837i | \(-0.175500\pi\) | ||||
0.851819 | + | 0.523837i | \(0.175500\pi\) | |||||||
\(272\) | −0.434174 | + | 0.116337i | −0.0263257 | + | 0.00705394i | ||||
\(273\) | 9.47720 | + | 25.6692i | 0.573586 | + | 1.55357i | ||||
\(274\) | −18.8776 | + | 10.8990i | −1.14044 | + | 0.658431i | ||||
\(275\) | 1.00657 | + | 3.01478i | 0.0606983 | + | 0.181798i | ||||
\(276\) | −1.00000 | − | 1.41421i | −0.0601929 | − | 0.0851257i | ||||
\(277\) | −7.28353 | − | 27.1825i | −0.437625 | − | 1.63324i | −0.734705 | − | 0.678386i | \(-0.762680\pi\) |
0.297080 | − | 0.954852i | \(-0.403987\pi\) | |||||||
\(278\) | 2.19275 | − | 2.19275i | 0.131513 | − | 0.131513i | ||||
\(279\) | 1.27135 | + | 0.449490i | 0.0761137 | + | 0.0269102i | ||||
\(280\) | −7.89898 | + | 6.44949i | −0.472054 | + | 0.385431i | ||||
\(281\) | −14.8485 | − | 8.57277i | −0.885785 | − | 0.511408i | −0.0132238 | − | 0.999913i | \(-0.504209\pi\) |
−0.872562 | + | 0.488504i | \(0.837543\pi\) | |||||||
\(282\) | 11.9876 | + | 9.96486i | 0.713849 | + | 0.593399i | ||||
\(283\) | 6.26772 | − | 23.3914i | 0.372577 | − | 1.39048i | −0.484275 | − | 0.874916i | \(-0.660917\pi\) |
0.856853 | − | 0.515561i | \(-0.172417\pi\) | |||||||
\(284\) | 3.14626 | + | 5.44949i | 0.186696 | + | 0.323368i | ||||
\(285\) | 0.219761 | − | 24.9778i | 0.0130175 | − | 1.47956i | ||||
\(286\) | 1.10102 | − | 1.90702i | 0.0651047 | − | 0.112765i | ||||
\(287\) | 23.8273 | + | 23.8273i | 1.40648 | + | 1.40648i | ||||
\(288\) | −1.29289 | − | 2.70711i | −0.0761845 | − | 0.159518i | ||||
\(289\) | − | 16.7980i | − | 0.988115i | ||||||
\(290\) | 0.576656 | + | 0.415416i | 0.0338624 | + | 0.0243940i | ||||
\(291\) | −3.79796 | + | 2.68556i | −0.222640 | + | 0.157430i | ||||
\(292\) | −9.42418 | − | 2.52520i | −0.551508 | − | 0.147776i | ||||
\(293\) | 21.2942 | + | 5.70577i | 1.24402 | + | 0.333335i | 0.820024 | − | 0.572329i | \(-0.193960\pi\) |
0.423998 | + | 0.905663i | \(0.360626\pi\) | |||||||
\(294\) | 21.7060 | + | 10.0000i | 1.26592 | + | 0.583212i | ||||
\(295\) | 19.8156 | − | 3.22062i | 1.15371 | − | 0.187512i | ||||
\(296\) | − | 4.24264i | − | 0.246598i | ||||||
\(297\) | 1.69097 | + | 2.83740i | 0.0981201 | + | 0.164643i | ||||
\(298\) | 3.12372 | + | 3.12372i | 0.180952 | + | 0.180952i | ||||
\(299\) | −1.73205 | + | 3.00000i | −0.100167 | + | 0.173494i | ||||
\(300\) | −1.31406 | − | 8.55998i | −0.0758670 | − | 0.494211i | ||||
\(301\) | 7.89898 | + | 13.6814i | 0.455290 | + | 0.788585i | ||||
\(302\) | 4.55416 | − | 16.9964i | 0.262062 | − | 0.978030i | ||||
\(303\) | −3.68608 | + | 21.4840i | −0.211760 | + | 1.23423i | ||||
\(304\) | −5.58542 | − | 3.22474i | −0.320346 | − | 0.184952i | ||||
\(305\) | −0.778539 | − | 0.953512i | −0.0445790 | − | 0.0545979i | ||||
\(306\) | −1.32577 | + | 0.246405i | −0.0757890 | + | 0.0140860i | ||||
\(307\) | −6.67423 | + | 6.67423i | −0.380919 | + | 0.380919i | −0.871433 | − | 0.490514i | \(-0.836809\pi\) |
0.490514 | + | 0.871433i | \(0.336809\pi\) | |||||||
\(308\) | −0.750311 | − | 2.80020i | −0.0427529 | − | 0.159556i | ||||
\(309\) | −16.8277 | + | 1.55051i | −0.957294 | + | 0.0882054i | ||||
\(310\) | 0.916536 | − | 0.412514i | 0.0520557 | − | 0.0234292i | ||||
\(311\) | 23.8207 | − | 13.7529i | 1.35075 | − | 0.779853i | 0.362392 | − | 0.932026i | \(-0.381960\pi\) |
0.988354 | + | 0.152172i | \(0.0486269\pi\) | |||||||
\(312\) | −3.83548 | + | 4.61401i | −0.217141 | + | 0.261217i | ||||
\(313\) | −11.5422 | + | 3.09273i | −0.652405 | + | 0.174811i | −0.569816 | − | 0.821772i | \(-0.692985\pi\) |
−0.0825888 | + | 0.996584i | \(0.526319\pi\) | |||||||
\(314\) | −14.6349 | −0.825898 | ||||||||
\(315\) | −25.1332 | + | 17.4422i | −1.41610 | + | 0.982757i | ||||
\(316\) | 2.44949 | 0.137795 | ||||||||
\(317\) | −10.5276 | + | 2.82086i | −0.591289 | + | 0.158435i | −0.542042 | − | 0.840351i | \(-0.682349\pi\) |
−0.0492469 | + | 0.998787i | \(0.515682\pi\) | |||||||
\(318\) | 9.13041 | + | 1.56653i | 0.512008 | + | 0.0878467i | ||||
\(319\) | −0.174973 | + | 0.101021i | −0.00979659 | + | 0.00565606i | ||||
\(320\) | −2.09077 | − | 0.792893i | −0.116878 | − | 0.0443241i | ||||
\(321\) | 13.9495 | − | 30.2788i | 0.778585 | − | 1.69000i | ||||
\(322\) | 1.18034 | + | 4.40508i | 0.0657777 | + | 0.245486i | ||||
\(323\) | −2.04989 | + | 2.04989i | −0.114059 | + | 0.114059i | ||||
\(324\) | −3.23375 | − | 8.39898i | −0.179653 | − | 0.466610i | ||||
\(325\) | −14.4495 | + | 9.55051i | −0.801513 | + | 0.529767i | ||||
\(326\) | −5.44949 | − | 3.14626i | −0.301819 | − | 0.174255i | ||||
\(327\) | −9.18286 | + | 3.39036i | −0.507813 | + | 0.187487i | ||||
\(328\) | −1.91239 | + | 7.13713i | −0.105594 | + | 0.394082i | ||||
\(329\) | −20.5222 | − | 35.5454i | −1.13142 | − | 1.95968i | ||||
\(330\) | 2.37237 | + | 0.658099i | 0.130595 | + | 0.0362271i | ||||
\(331\) | −0.224745 | + | 0.389270i | −0.0123531 | + | 0.0213962i | −0.872136 | − | 0.489264i | \(-0.837266\pi\) |
0.859783 | + | 0.510660i | \(0.170599\pi\) | |||||||
\(332\) | 3.85337 | + | 3.85337i | 0.211481 | + | 0.211481i | ||||
\(333\) | 0.992248 | − | 12.6892i | 0.0543748 | − | 0.695363i | ||||
\(334\) | − | 8.79796i | − | 0.481403i | ||||||
\(335\) | 8.63980 | − | 11.9933i | 0.472042 | − | 0.655263i | ||||
\(336\) | 0.724745 | + | 7.86566i | 0.0395381 | + | 0.429107i | ||||
\(337\) | 3.00804 | + | 0.806003i | 0.163859 | + | 0.0439058i | 0.339816 | − | 0.940492i | \(-0.389635\pi\) |
−0.175957 | + | 0.984398i | \(0.556302\pi\) | |||||||
\(338\) | −0.965926 | − | 0.258819i | −0.0525394 | − | 0.0140779i | ||||
\(339\) | −0.921404 | − | 10.0000i | −0.0500438 | − | 0.543125i | ||||
\(340\) | −0.587486 | + | 0.815515i | −0.0318609 | + | 0.0442275i | ||||
\(341\) | 0.285729i | 0.0154731i | ||||||||
\(342\) | −15.9511 | − | 10.9511i | −0.862536 | − | 0.592167i | ||||
\(343\) | −21.9217 | − | 21.9217i | −1.18366 | − | 1.18366i | ||||
\(344\) | −1.73205 | + | 3.00000i | −0.0933859 | + | 0.161749i | ||||
\(345\) | −3.73205 | − | 1.03528i | −0.200927 | − | 0.0557374i | ||||
\(346\) | 6.44949 | + | 11.1708i | 0.346727 | + | 0.600548i | ||||
\(347\) | 6.15937 | − | 22.9871i | 0.330652 | − | 1.23401i | −0.577855 | − | 0.816140i | \(-0.696110\pi\) |
0.908507 | − | 0.417870i | \(-0.137223\pi\) | |||||||
\(348\) | 0.516436 | − | 0.190671i | 0.0276839 | − | 0.0102210i | ||||
\(349\) | 25.1541 | + | 14.5227i | 1.34647 | + | 0.777383i | 0.987747 | − | 0.156063i | \(-0.0498803\pi\) |
0.358719 | + | 0.933446i | \(0.383214\pi\) | |||||||
\(350\) | −4.56048 | + | 22.3417i | −0.243768 | + | 1.19421i | ||||
\(351\) | −12.5505 | + | 12.9029i | −0.669897 | + | 0.688706i | ||||
\(352\) | 0.449490 | − | 0.449490i | 0.0239579 | − | 0.0239579i | ||||
\(353\) | −8.87564 | − | 33.1244i | −0.472403 | − | 1.76303i | −0.631097 | − | 0.775704i | \(-0.717395\pi\) |
0.158694 | − | 0.987328i | \(-0.449272\pi\) | |||||||
\(354\) | 6.50683 | − | 14.1237i | 0.345834 | − | 0.750667i | ||||
\(355\) | 13.1562 | + | 4.98930i | 0.698260 | + | 0.264805i | ||||
\(356\) | 6.94949 | − | 4.01229i | 0.368322 | − | 0.212651i | ||||
\(357\) | 3.49938 | + | 0.600398i | 0.185207 | + | 0.0317764i | ||||
\(358\) | 10.3142 | − | 2.76368i | 0.545122 | − | 0.146065i | ||||
\(359\) | −3.32124 | −0.175288 | −0.0876441 | − | 0.996152i | \(-0.527934\pi\) | ||||
−0.0876441 | + | 0.996152i | \(0.527934\pi\) | |||||||
\(360\) | −6.06778 | − | 2.86042i | −0.319800 | − | 0.150757i | ||||
\(361\) | −22.5959 | −1.18926 | ||||||||
\(362\) | 14.9231 | − | 3.99862i | 0.784339 | − | 0.210163i | ||||
\(363\) | 11.7319 | − | 14.1132i | 0.615763 | − | 0.740753i | ||||
\(364\) | 13.6814 | − | 7.89898i | 0.717102 | − | 0.414019i | ||||
\(365\) | −19.8943 | + | 8.95403i | −1.04132 | + | 0.468675i | ||||
\(366\) | −0.949490 | + | 0.0874863i | −0.0496306 | + | 0.00457298i | ||||
\(367\) | −1.06110 | − | 3.96008i | −0.0553890 | − | 0.206714i | 0.932686 | − | 0.360690i | \(-0.117459\pi\) |
−0.988075 | + | 0.153976i | \(0.950792\pi\) | |||||||
\(368\) | −0.707107 | + | 0.707107i | −0.0368605 | + | 0.0368605i | ||||
\(369\) | −7.38891 | + | 20.8990i | −0.384651 | + | 1.08796i | ||||
\(370\) | −6.00000 | − | 7.34847i | −0.311925 | − | 0.382029i | ||||
\(371\) | −21.1237 | − | 12.1958i | −1.09669 | − | 0.633174i | ||||
\(372\) | 0.131652 | − | 0.767327i | 0.00682586 | − | 0.0397841i | ||||
\(373\) | −0.127549 | + | 0.476018i | −0.00660422 | + | 0.0246473i | −0.969149 | − | 0.246474i | \(-0.920728\pi\) |
0.962545 | + | 0.271122i | \(0.0873946\pi\) | |||||||
\(374\) | −0.142865 | − | 0.247449i | −0.00738735 | − | 0.0127953i | ||||
\(375\) | −14.3817 | − | 12.9680i | −0.742665 | − | 0.669663i | ||||
\(376\) | 4.50000 | − | 7.79423i | 0.232070 | − | 0.401957i | ||||
\(377\) | −0.778539 | − | 0.778539i | −0.0400968 | − | 0.0400968i | ||||
\(378\) | 0.328036 | + | 23.6947i | 0.0168724 | + | 1.21872i | ||||
\(379\) | 21.3485i | 1.09660i | 0.836283 | + | 0.548299i | \(0.184724\pi\) | ||||
−0.836283 | + | 0.548299i | \(0.815276\pi\) | |||||||
\(380\) | −14.2347 | + | 2.31356i | −0.730225 | + | 0.118683i | ||||
\(381\) | 4.17423 | + | 1.92308i | 0.213853 | + | 0.0985222i | ||||
\(382\) | 16.8683 | + | 4.51985i | 0.863058 | + | 0.231256i | ||||
\(383\) | −7.92256 | − | 2.12284i | −0.404824 | − | 0.108472i | 0.0506606 | − | 0.998716i | \(-0.483867\pi\) |
−0.455485 | + | 0.890244i | \(0.650534\pi\) | |||||||
\(384\) | −1.41421 | + | 1.00000i | −0.0721688 | + | 0.0510310i | ||||
\(385\) | −5.25966 | − | 3.78899i | −0.268057 | − | 0.193105i | ||||
\(386\) | − | 17.3205i | − | 0.881591i | ||||||
\(387\) | −5.88196 | + | 8.56753i | −0.298997 | + | 0.435512i | ||||
\(388\) | 1.89898 | + | 1.89898i | 0.0964061 | + | 0.0964061i | ||||
\(389\) | −18.4008 | + | 31.8712i | −0.932959 | + | 1.61593i | −0.154726 | + | 0.987957i | \(0.549449\pi\) |
−0.778233 | + | 0.627975i | \(0.783884\pi\) | |||||||
\(390\) | −0.118036 | + | 13.4159i | −0.00597701 | + | 0.679340i | ||||
\(391\) | 0.224745 | + | 0.389270i | 0.0113658 | + | 0.0196862i | ||||
\(392\) | 3.57117 | − | 13.3278i | 0.180372 | − | 0.673156i | ||||
\(393\) | −4.80430 | − | 3.99366i | −0.242345 | − | 0.201453i | ||||
\(394\) | 8.48528 | + | 4.89898i | 0.427482 | + | 0.246807i | ||||
\(395\) | 4.24264 | − | 3.46410i | 0.213470 | − | 0.174298i | ||||
\(396\) | 1.44949 | − | 1.23924i | 0.0728396 | − | 0.0622742i | ||||
\(397\) | 10.5505 | − | 10.5505i | 0.529515 | − | 0.529515i | −0.390913 | − | 0.920428i | \(-0.627841\pi\) |
0.920428 | + | 0.390913i | \(0.127841\pi\) | |||||||
\(398\) | 2.18689 | + | 8.16158i | 0.109619 | + | 0.409103i | ||||
\(399\) | 29.4128 | + | 41.5959i | 1.47248 | + | 2.08240i | ||||
\(400\) | −4.74264 | + | 1.58346i | −0.237132 | + | 0.0791732i | ||||
\(401\) | 7.65153 | − | 4.41761i | 0.382099 | − | 0.220605i | −0.296632 | − | 0.954992i | \(-0.595863\pi\) |
0.678731 | + | 0.734387i | \(0.262530\pi\) | |||||||
\(402\) | −3.96556 | − | 10.7408i | −0.197784 | − | 0.535703i | ||||
\(403\) | −1.50402 | + | 0.403001i | −0.0749207 | + | 0.0200749i | ||||
\(404\) | 12.5851 | 0.626130 | ||||||||
\(405\) | −17.4790 | − | 9.97425i | −0.868537 | − | 0.495624i | ||||
\(406\) | −1.44949 | −0.0719370 | ||||||||
\(407\) | 2.60504 | − | 0.698019i | 0.129127 | − | 0.0345995i | ||||
\(408\) | 0.269649 | + | 0.730351i | 0.0133496 | + | 0.0361578i | ||||
\(409\) | 25.0273 | − | 14.4495i | 1.23752 | − | 0.714481i | 0.268932 | − | 0.963159i | \(-0.413329\pi\) |
0.968586 | + | 0.248678i | \(0.0799961\pi\) | |||||||
\(410\) | 6.78108 | + | 15.0664i | 0.334893 | + | 0.744077i | ||||
\(411\) | 21.7980 | + | 30.8270i | 1.07521 | + | 1.52058i | ||||
\(412\) | 2.52520 | + | 9.42418i | 0.124408 | + | 0.464296i | ||||
\(413\) | −28.9521 | + | 28.9521i | −1.42464 | + | 1.42464i | ||||
\(414\) | −2.28024 | + | 1.94949i | −0.112068 | + | 0.0958122i | ||||
\(415\) | 12.1237 | + | 1.22474i | 0.595130 | + | 0.0601204i | ||||
\(416\) | 3.00000 | + | 1.73205i | 0.147087 | + | 0.0849208i | ||||
\(417\) | −4.13041 | − | 3.43347i | −0.202267 | − | 0.168138i | ||||
\(418\) | 1.06110 | − | 3.96008i | 0.0519001 | − | 0.193694i | ||||
\(419\) | −2.51059 | − | 4.34847i | −0.122650 | − | 0.212437i | 0.798162 | − | 0.602443i | \(-0.205806\pi\) |
−0.920812 | + | 0.390007i | \(0.872473\pi\) | |||||||
\(420\) | 12.3790 | + | 12.5988i | 0.604034 | + | 0.614758i | ||||
\(421\) | 2.55051 | − | 4.41761i | 0.124304 | − | 0.215301i | −0.797157 | − | 0.603773i | \(-0.793663\pi\) |
0.921461 | + | 0.388471i | \(0.126997\pi\) | |||||||
\(422\) | 6.43539 | + | 6.43539i | 0.313270 | + | 0.313270i | ||||
\(423\) | 15.2818 | − | 22.2591i | 0.743026 | − | 1.08227i | ||||
\(424\) | − | 5.34847i | − | 0.259745i | ||||||
\(425\) | 0.135756 | + | 2.24334i | 0.00658515 | + | 0.108818i | ||||
\(426\) | 8.89898 | − | 6.29253i | 0.431157 | − | 0.304874i | ||||
\(427\) | 2.42504 | + | 0.649788i | 0.117356 | + | 0.0314455i | ||||
\(428\) | −18.5916 | − | 4.98161i | −0.898659 | − | 0.240795i | ||||
\(429\) | −3.46410 | − | 1.59592i | −0.167248 | − | 0.0770516i | ||||
\(430\) | 1.24264 | + | 7.64564i | 0.0599255 | + | 0.368706i | ||||
\(431\) | − | 15.5563i | − | 0.749323i | −0.927162 | − | 0.374661i | \(-0.877759\pi\) | ||
0.927162 | − | 0.374661i | \(-0.122241\pi\) | |||||||
\(432\) | −4.46360 | + | 2.66012i | −0.214755 | + | 0.127985i | ||||
\(433\) | 13.4495 | + | 13.4495i | 0.646341 | + | 0.646341i | 0.952107 | − | 0.305766i | \(-0.0989124\pi\) |
−0.305766 | + | 0.952107i | \(0.598912\pi\) | |||||||
\(434\) | −1.02494 | + | 1.77526i | −0.0491989 | + | 0.0852150i | ||||
\(435\) | 0.624844 | − | 1.06060i | 0.0299590 | − | 0.0508520i | ||||
\(436\) | 2.82577 | + | 4.89437i | 0.135330 | + | 0.234398i | ||||
\(437\) | −1.66925 | + | 6.22973i | −0.0798511 | + | 0.298008i | ||||
\(438\) | −2.85765 | + | 16.6556i | −0.136544 | + | 0.795836i | ||||
\(439\) | 25.8058 | + | 14.8990i | 1.23164 | + | 0.711089i | 0.967372 | − | 0.253359i | \(-0.0815354\pi\) |
0.264271 | + | 0.964449i | \(0.414869\pi\) | |||||||
\(440\) | 0.142865 | − | 1.41421i | 0.00681080 | − | 0.0674200i | ||||
\(441\) | 13.7980 | − | 39.0265i | 0.657046 | − | 1.85841i | ||||
\(442\) | 1.10102 | − | 1.10102i | 0.0523702 | − | 0.0523702i | ||||
\(443\) | −1.41043 | − | 5.26380i | −0.0670116 | − | 0.250091i | 0.924292 | − | 0.381687i | \(-0.124657\pi\) |
−0.991303 | + | 0.131596i | \(0.957990\pi\) | |||||||
\(444\) | −7.31747 | + | 0.674235i | −0.347272 | + | 0.0319978i | ||||
\(445\) | 6.36263 | − | 16.7776i | 0.301618 | − | 0.795332i | ||||
\(446\) | 22.1969 | − | 12.8154i | 1.05106 | − | 0.606827i | ||||
\(447\) | 4.89121 | − | 5.88405i | 0.231346 | − | 0.278306i | ||||
\(448\) | 4.40508 | − | 1.18034i | 0.208121 | − | 0.0557658i | ||||
\(449\) | −0.921404 | −0.0434837 | −0.0217419 | − | 0.999764i | \(-0.506921\pi\) | ||||
−0.0217419 | + | 0.999764i | \(0.506921\pi\) | |||||||
\(450\) | −14.5550 | + | 3.62675i | −0.686127 | + | 0.170967i | ||||
\(451\) | −4.69694 | −0.221170 | ||||||||
\(452\) | −5.60040 | + | 1.50062i | −0.263421 | + | 0.0705833i | ||||
\(453\) | −30.0381 | − | 5.15373i | −1.41131 | − | 0.242143i | ||||
\(454\) | −21.5631 | + | 12.4495i | −1.01201 | + | 0.584284i | ||||
\(455\) | 12.5261 | − | 33.0299i | 0.587232 | − | 1.54847i | ||||
\(456\) | −4.67423 | + | 10.1459i | −0.218891 | + | 0.475125i | ||||
\(457\) | −3.78780 | − | 14.1363i | −0.177186 | − | 0.661267i | −0.996169 | − | 0.0874492i | \(-0.972128\pi\) |
0.818983 | − | 0.573818i | \(-0.194538\pi\) | |||||||
\(458\) | −1.16781 | + | 1.16781i | −0.0545681 | + | 0.0545681i | ||||
\(459\) | 0.635674 | + | 2.24745i | 0.0296707 | + | 0.104902i | ||||
\(460\) | −0.224745 | + | 2.22474i | −0.0104788 | + | 0.103729i | ||||
\(461\) | 28.6237 | + | 16.5259i | 1.33314 | + | 0.769689i | 0.985780 | − | 0.168043i | \(-0.0537448\pi\) |
0.347360 | + | 0.937732i | \(0.387078\pi\) | |||||||
\(462\) | −4.71039 | + | 1.73910i | −0.219147 | + | 0.0809102i | ||||
\(463\) | −3.16668 | + | 11.8182i | −0.147168 | + | 0.549239i | 0.852481 | + | 0.522758i | \(0.175097\pi\) |
−0.999649 | + | 0.0264810i | \(0.991570\pi\) | |||||||
\(464\) | −0.158919 | − | 0.275255i | −0.00737761 | − | 0.0127784i | ||||
\(465\) | −0.857135 | − | 1.51523i | −0.0397487 | − | 0.0702673i | ||||
\(466\) | −10.2247 | + | 17.7098i | −0.473652 | + | 0.820390i | ||||
\(467\) | −2.82843 | − | 2.82843i | −0.130884 | − | 0.130884i | 0.638630 | − | 0.769514i | \(-0.279501\pi\) |
−0.769514 | + | 0.638630i | \(0.779501\pi\) | |||||||
\(468\) | 8.56753 | + | 5.88196i | 0.396034 | + | 0.271894i | ||||
\(469\) | 30.1464i | 1.39203i | ||||||||
\(470\) | −3.22848 | − | 19.8640i | −0.148918 | − | 0.916256i | ||||
\(471\) | 2.32577 | + | 25.2415i | 0.107166 | + | 1.16307i | ||||
\(472\) | −8.67217 | − | 2.32370i | −0.399169 | − | 0.106957i | ||||
\(473\) | −2.12701 | − | 0.569930i | −0.0977999 | − | 0.0262054i | ||||
\(474\) | −0.389270 | − | 4.22474i | −0.0178797 | − | 0.194049i | ||||
\(475\) | −21.3834 | + | 24.1381i | −0.981137 | + | 1.10753i | ||||
\(476\) | − | 2.04989i | − | 0.0939565i | ||||||
\(477\) | 1.25087 | − | 15.9966i | 0.0572736 | − | 0.732433i | ||||
\(478\) | −12.0000 | − | 12.0000i | −0.548867 | − | 0.548867i | ||||
\(479\) | 3.53553 | − | 6.12372i | 0.161543 | − | 0.279800i | −0.773879 | − | 0.633333i | \(-0.781686\pi\) |
0.935422 | + | 0.353533i | \(0.115020\pi\) | |||||||
\(480\) | −1.03528 | + | 3.73205i | −0.0472537 | + | 0.170344i | ||||
\(481\) | 7.34847 | + | 12.7279i | 0.335061 | + | 0.580343i | ||||
\(482\) | 4.91756 | − | 18.3526i | 0.223989 | − | 0.835938i | ||||
\(483\) | 7.41007 | − | 2.73583i | 0.337170 | − | 0.124485i | ||||
\(484\) | −9.17633 | − | 5.29796i | −0.417106 | − | 0.240816i | ||||
\(485\) | 5.97469 | + | 0.603566i | 0.271297 | + | 0.0274065i | ||||
\(486\) | −13.9722 | + | 6.91215i | −0.633792 | + | 0.313541i | ||||
\(487\) | −12.0000 | + | 12.0000i | −0.543772 | + | 0.543772i | −0.924632 | − | 0.380861i | \(-0.875628\pi\) |
0.380861 | + | 0.924632i | \(0.375628\pi\) | |||||||
\(488\) | 0.142483 | + | 0.531752i | 0.00644988 | + | 0.0240713i | ||||
\(489\) | −4.56048 | + | 9.89898i | −0.206232 | + | 0.447647i | ||||
\(490\) | −12.6629 | − | 28.1348i | −0.572052 | − | 1.27100i | ||||
\(491\) | −24.2474 | + | 13.9993i | −1.09427 | + | 0.631778i | −0.934711 | − | 0.355410i | \(-0.884341\pi\) |
−0.159561 | + | 0.987188i | \(0.551008\pi\) | |||||||
\(492\) | 12.6136 | + | 2.16416i | 0.568667 | + | 0.0975679i | ||||
\(493\) | −0.137997 | + | 0.0369761i | −0.00621505 | + | 0.00166532i | ||||
\(494\) | 22.3417 | 1.00520 | ||||||||
\(495\) | 0.758039 | − | 4.19632i | 0.0340713 | − | 0.188610i | ||||
\(496\) | −0.449490 | −0.0201827 | ||||||||
\(497\) | −27.7191 | + | 7.42731i | −1.24337 | + | 0.333161i | ||||
\(498\) | 6.03371 | − | 7.25845i | 0.270377 | − | 0.325259i | ||||
\(499\) | −0.778539 | + | 0.449490i | −0.0348522 | + | 0.0201219i | −0.517325 | − | 0.855789i | \(-0.673072\pi\) |
0.482473 | + | 0.875911i | \(0.339739\pi\) | |||||||
\(500\) | −5.97514 | + | 9.44975i | −0.267216 | + | 0.422606i | ||||
\(501\) | −15.1742 | + | 1.39816i | −0.677935 | + | 0.0624652i | ||||
\(502\) | −0.695075 | − | 2.59405i | −0.0310227 | − | 0.115778i | ||||
\(503\) | −4.02834 | + | 4.02834i | −0.179615 | + | 0.179615i | −0.791188 | − | 0.611573i | \(-0.790537\pi\) |
0.611573 | + | 0.791188i | \(0.290537\pi\) | |||||||
\(504\) | 13.4511 | − | 2.50000i | 0.599159 | − | 0.111359i | ||||
\(505\) | 21.7980 | − | 17.7980i | 0.969996 | − | 0.791999i | ||||
\(506\) | −0.550510 | − | 0.317837i | −0.0244732 | − | 0.0141296i | ||||
\(507\) | −0.292893 | + | 1.70711i | −0.0130078 | + | 0.0758153i | ||||
\(508\) | 0.686765 | − | 2.56304i | 0.0304702 | − | 0.113717i | ||||
\(509\) | 4.22659 | + | 7.32066i | 0.187340 | + | 0.324483i | 0.944363 | − | 0.328906i | \(-0.106680\pi\) |
−0.757022 | + | 0.653389i | \(0.773347\pi\) | |||||||
\(510\) | 1.49992 | + | 0.883663i | 0.0664175 | + | 0.0391293i | ||||
\(511\) | 22.2474 | − | 38.5337i | 0.984169 | − | 1.70463i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −16.3529 | + | 29.2519i | −0.721998 | + | 1.29150i | ||||
\(514\) | − | 18.0454i | − | 0.795949i | ||||||
\(515\) | 17.7016 | + | 12.7520i | 0.780025 | + | 0.561920i | ||||
\(516\) | 5.44949 | + | 2.51059i | 0.239900 | + | 0.110523i | ||||
\(517\) | 5.52613 | + | 1.48072i | 0.243039 | + | 0.0651221i | ||||
\(518\) | 18.6892 | + | 5.00775i | 0.821156 | + | 0.220028i | ||||
\(519\) | 18.2419 | − | 12.8990i | 0.800731 | − | 0.566202i | ||||
\(520\) | 7.64564 | − | 1.24264i | 0.335284 | − | 0.0544934i | ||||
\(521\) | 29.4449i | 1.29000i | 0.764181 | + | 0.645001i | \(0.223143\pi\) | ||||
−0.764181 | + | 0.645001i | \(0.776857\pi\) | |||||||
\(522\) | −0.410930 | − | 0.860419i | −0.0179859 | − | 0.0376595i | ||||
\(523\) | 4.22474 | + | 4.22474i | 0.184735 | + | 0.184735i | 0.793416 | − | 0.608680i | \(-0.208301\pi\) |
−0.608680 | + | 0.793416i | \(0.708301\pi\) | |||||||
\(524\) | −1.80348 | + | 3.12372i | −0.0787855 | + | 0.136461i | ||||
\(525\) | 39.2585 | + | 4.31515i | 1.71338 | + | 0.188329i | ||||
\(526\) | −8.34847 | − | 14.4600i | −0.364011 | − | 0.630485i | ||||
\(527\) | −0.0522921 | + | 0.195157i | −0.00227788 | + | 0.00850116i | ||||
\(528\) | −0.846687 | − | 0.703823i | −0.0368473 | − | 0.0306300i | ||||
\(529\) | −19.0526 | − | 11.0000i | −0.828372 | − | 0.478261i | ||||
\(530\) | −7.56388 | − | 9.26382i | −0.328554 | − | 0.402395i | ||||
\(531\) | −25.3939 | − | 8.97809i | −1.10200 | − | 0.389616i | ||||
\(532\) | 20.7980 | − | 20.7980i | 0.901706 | − | 0.901706i | ||||
\(533\) | −6.62471 | − | 24.7238i | −0.286948 | − | 1.07090i | ||||
\(534\) | −8.02458 | − | 11.3485i | −0.347258 | − | 0.491096i | ||||
\(535\) | −39.2467 | + | 17.6641i | −1.69678 | + | 0.763686i | ||||
\(536\) | −5.72474 | + | 3.30518i | −0.247271 | + | 0.142762i | ||||
\(537\) | −6.40576 | − | 17.3501i | −0.276429 | − | 0.748714i | ||||
\(538\) | −14.5813 | + | 3.90704i | −0.628643 | + | 0.168444i | ||||
\(539\) | 8.77101 | 0.377794 | ||||||||
\(540\) | −3.96921 | + | 10.9200i | −0.170808 | + | 0.469920i | ||||
\(541\) | 27.9444 | 1.20142 | 0.600712 | − | 0.799466i | \(-0.294884\pi\) | ||||
0.600712 | + | 0.799466i | \(0.294884\pi\) | |||||||
\(542\) | −27.0898 | + | 7.25869i | −1.16361 | + | 0.311787i | ||||
\(543\) | −9.26816 | − | 25.1030i | −0.397735 | − | 1.07727i | ||||
\(544\) | 0.389270 | − | 0.224745i | 0.0166898 | − | 0.00963586i | ||||
\(545\) | 11.8161 | + | 4.48106i | 0.506144 | + | 0.191948i | ||||
\(546\) | −15.7980 | − | 22.3417i | −0.676090 | − | 0.956136i | ||||
\(547\) | −1.05279 | − | 3.92907i | −0.0450140 | − | 0.167995i | 0.939760 | − | 0.341836i | \(-0.111049\pi\) |
−0.984774 | + | 0.173841i | \(0.944382\pi\) | |||||||
\(548\) | 15.4135 | − | 15.4135i | 0.658431 | − | 0.658431i | ||||
\(549\) | 0.301783 | + | 1.62372i | 0.0128798 | + | 0.0692989i | ||||
\(550\) | −1.75255 | − | 2.65153i | −0.0747290 | − | 0.113062i | ||||
\(551\) | −1.77526 | − | 1.02494i | −0.0756284 | − | 0.0436641i | ||||
\(552\) | 1.33195 | + | 1.10721i | 0.0566916 | + | 0.0471258i | ||||
\(553\) | −2.89123 | + | 10.7902i | −0.122947 | + | 0.458846i | ||||
\(554\) | 14.0707 | + | 24.3712i | 0.597807 | + | 1.03543i | ||||
\(555\) | −11.7207 | + | 11.5163i | −0.497517 | + | 0.488839i | ||||
\(556\) | −1.55051 | + | 2.68556i | −0.0657563 | + | 0.113893i | ||||
\(557\) | 7.88171 | + | 7.88171i | 0.333959 | + | 0.333959i | 0.854088 | − | 0.520129i | \(-0.174116\pi\) |
−0.520129 | + | 0.854088i | \(0.674116\pi\) | |||||||
\(558\) | −1.34437 | − | 0.105124i | −0.0569115 | − | 0.00445027i | ||||
\(559\) | − | 12.0000i | − | 0.507546i | ||||||
\(560\) | 5.96058 | − | 8.27414i | 0.251880 | − | 0.349646i | ||||
\(561\) | −0.404082 | + | 0.285729i | −0.0170604 | + | 0.0120635i | ||||
\(562\) | 16.5613 | + | 4.43759i | 0.698597 | + | 0.187188i | ||||
\(563\) | 18.9819 | + | 5.08619i | 0.799993 | + | 0.214357i | 0.635581 | − | 0.772034i | \(-0.280761\pi\) |
0.164412 | + | 0.986392i | \(0.447427\pi\) | |||||||
\(564\) | −14.1582 | − | 6.52270i | −0.596167 | − | 0.274655i | ||||
\(565\) | −7.57797 | + | 10.5193i | −0.318808 | + | 0.442551i | ||||
\(566\) | 24.2166i | 1.01790i | ||||||||
\(567\) | 40.8151 | − | 4.33130i | 1.71407 | − | 0.181898i | ||||
\(568\) | −4.44949 | − | 4.44949i | −0.186696 | − | 0.186696i | ||||
\(569\) | 9.58166 | − | 16.5959i | 0.401684 | − | 0.695737i | −0.592245 | − | 0.805758i | \(-0.701758\pi\) |
0.993929 | + | 0.110021i | \(0.0350917\pi\) | |||||||
\(570\) | 6.25246 | + | 24.1836i | 0.261887 | + | 1.01294i | ||||
\(571\) | −18.4495 | − | 31.9555i | −0.772087 | − | 1.33729i | −0.936417 | − | 0.350889i | \(-0.885880\pi\) |
0.164330 | − | 0.986405i | \(-0.447454\pi\) | |||||||
\(572\) | −0.569930 | + | 2.12701i | −0.0238300 | + | 0.0889347i | ||||
\(573\) | 5.11490 | − | 29.8118i | 0.213678 | − | 1.24541i | ||||
\(574\) | −29.1824 | − | 16.8485i | −1.21805 | − | 0.703242i | ||||
\(575\) | 2.75699 | + | 4.17121i | 0.114975 | + | 0.173951i | ||||
\(576\) | 1.94949 | + | 2.28024i | 0.0812287 | + | 0.0950100i | ||||
\(577\) | −17.0000 | + | 17.0000i | −0.707719 | + | 0.707719i | −0.966055 | − | 0.258336i | \(-0.916826\pi\) |
0.258336 | + | 0.966055i | \(0.416826\pi\) | |||||||
\(578\) | 4.34763 | + | 16.2256i | 0.180838 | + | 0.674895i | ||||
\(579\) | −29.8735 | + | 2.75255i | −1.24150 | + | 0.114392i | ||||
\(580\) | −0.664525 | − | 0.252011i | −0.0275929 | − | 0.0104642i | ||||
\(581\) | −21.5227 | + | 12.4261i | −0.892912 | + | 0.515523i | ||||
\(582\) | 2.97347 | − | 3.57704i | 0.123254 | − | 0.148273i | ||||
\(583\) | 3.28404 | − | 0.879955i | 0.136011 | − | 0.0364440i | ||||
\(584\) | 9.75663 | 0.403732 | ||||||||
\(585\) | 23.1577 | − | 1.92845i | 0.957455 | − | 0.0797317i | ||||
\(586\) | −22.0454 | −0.910687 | ||||||||
\(587\) | 12.6009 | − | 3.37640i | 0.520095 | − | 0.139359i | 0.0107843 | − | 0.999942i | \(-0.496567\pi\) |
0.509310 | + | 0.860583i | \(0.329901\pi\) | |||||||
\(588\) | −23.5546 | − | 4.04133i | −0.971375 | − | 0.166662i | ||||
\(589\) | −2.51059 | + | 1.44949i | −0.103447 | + | 0.0597252i | ||||
\(590\) | −18.3068 | + | 8.23953i | −0.753681 | + | 0.339216i | ||||
\(591\) | 7.10102 | − | 15.4135i | 0.292097 | − | 0.634026i | ||||
\(592\) | 1.09808 | + | 4.09808i | 0.0451307 | + | 0.168430i | ||||
\(593\) | 7.24604 | − | 7.24604i | 0.297559 | − | 0.297559i | −0.542498 | − | 0.840057i | \(-0.682521\pi\) |
0.840057 | + | 0.542498i | \(0.182521\pi\) | |||||||
\(594\) | −2.36773 | − | 2.30306i | −0.0971489 | − | 0.0944958i | ||||
\(595\) | −2.89898 | − | 3.55051i | −0.118847 | − | 0.145557i | ||||
\(596\) | −3.82577 | − | 2.20881i | −0.156709 | − | 0.0904762i | ||||
\(597\) | 13.7291 | − | 5.06885i | 0.561895 | − | 0.207454i | ||||
\(598\) | 0.896575 | − | 3.34607i | 0.0366637 | − | 0.136831i | ||||
\(599\) | −9.97093 | − | 17.2702i | −0.407401 | − | 0.705639i | 0.587197 | − | 0.809444i | \(-0.300232\pi\) |
−0.994598 | + | 0.103805i | \(0.966898\pi\) | |||||||
\(600\) | 3.48477 | + | 7.92820i | 0.142265 | + | 0.323668i | ||||
\(601\) | −2.65153 | + | 4.59259i | −0.108158 | + | 0.187335i | −0.915024 | − | 0.403399i | \(-0.867829\pi\) |
0.806866 | + | 0.590735i | \(0.201162\pi\) | |||||||
\(602\) | −11.1708 | − | 11.1708i | −0.455290 | − | 0.455290i | ||||
\(603\) | −17.8950 | + | 8.54650i | −0.728739 | + | 0.348040i | ||||
\(604\) | 17.5959i | 0.715968i | ||||||||
\(605\) | −23.3863 | + | 3.80096i | −0.950789 | + | 0.154531i | ||||
\(606\) | −2.00000 | − | 21.7060i | −0.0812444 | − | 0.881747i | ||||
\(607\) | −11.3732 | − | 3.04744i | −0.461624 | − | 0.123692i | 0.0205092 | − | 0.999790i | \(-0.493471\pi\) |
−0.482133 | + | 0.876098i | \(0.660138\pi\) | |||||||
\(608\) | 6.22973 | + | 1.66925i | 0.252649 | + | 0.0676971i | ||||
\(609\) | 0.230351 | + | 2.50000i | 0.00933429 | + | 0.101305i | ||||
\(610\) | 0.998798 | + | 0.719521i | 0.0404401 | + | 0.0291325i | ||||
\(611\) | 31.1769i | 1.26128i | ||||||||
\(612\) | 1.21682 | − | 0.581142i | 0.0491869 | − | 0.0234913i | ||||
\(613\) | 6.79796 | + | 6.79796i | 0.274567 | + | 0.274567i | 0.830936 | − | 0.556369i | \(-0.187806\pi\) |
−0.556369 | + | 0.830936i | \(0.687806\pi\) | |||||||
\(614\) | 4.71940 | − | 8.17423i | 0.190459 | − | 0.329885i | ||||
\(615\) | 24.9081 | − | 14.0900i | 1.00439 | − | 0.568162i | ||||
\(616\) | 1.44949 | + | 2.51059i | 0.0584016 | + | 0.101155i | ||||
\(617\) | −4.37378 | + | 16.3232i | −0.176082 | + | 0.657146i | 0.820283 | + | 0.571958i | \(0.193816\pi\) |
−0.996365 | + | 0.0851882i | \(0.972851\pi\) | |||||||
\(618\) | 15.8530 | − | 5.85301i | 0.637701 | − | 0.235442i | ||||
\(619\) | −42.2121 | − | 24.3712i | −1.69665 | − | 0.979560i | −0.948900 | − | 0.315578i | \(-0.897802\pi\) |
−0.747748 | − | 0.663982i | \(-0.768865\pi\) | |||||||
\(620\) | −0.778539 | + | 0.635674i | −0.0312669 | + | 0.0255293i | ||||
\(621\) | 3.72474 | + | 3.62302i | 0.149469 | + | 0.145387i | ||||
\(622\) | −19.4495 | + | 19.4495i | −0.779853 | + | 0.779853i | ||||
\(623\) | 9.47172 | + | 35.3489i | 0.379476 | + | 1.41623i | ||||
\(624\) | 2.51059 | − | 5.44949i | 0.100504 | − | 0.218154i | ||||
\(625\) | 3.01472 | + | 24.8176i | 0.120589 | + | 0.992703i | ||||
\(626\) | 10.3485 | − | 5.97469i | 0.413608 | − | 0.238797i | ||||
\(627\) | −6.99876 | − | 1.20080i | −0.279503 | − | 0.0479552i | ||||
\(628\) | 14.1363 | − | 3.78780i | 0.564099 | − | 0.151150i | ||||
\(629\) | 1.90702 | 0.0760380 | ||||||||
\(630\) | 19.7624 | − | 23.3528i | 0.787354 | − | 0.930399i | ||||
\(631\) | −3.10102 | −0.123450 | −0.0617248 | − | 0.998093i | \(-0.519660\pi\) | ||||
−0.0617248 | + | 0.998093i | \(0.519660\pi\) | |||||||
\(632\) | −2.36603 | + | 0.633975i | −0.0941154 | + | 0.0252182i | ||||
\(633\) | 10.0767 | − | 12.1221i | 0.400513 | − | 0.481811i | ||||
\(634\) | 9.43879 | − | 5.44949i | 0.374862 | − | 0.216427i | ||||
\(635\) | −2.43518 | − | 5.41055i | −0.0966370 | − | 0.214711i | ||||
\(636\) | −9.22474 | + | 0.849971i | −0.365785 | + | 0.0337036i | ||||
\(637\) | 12.3709 | + | 46.1689i | 0.490153 | + | 1.82928i | ||||
\(638\) | 0.142865 | − | 0.142865i | 0.00565606 | − | 0.00565606i | ||||
\(639\) | −12.2672 | − | 14.3485i | −0.485284 | − | 0.567617i | ||||
\(640\) | 2.22474 | + | 0.224745i | 0.0879408 | + | 0.00888382i | ||||
\(641\) | 16.7474 | + | 9.66914i | 0.661484 | + | 0.381908i | 0.792842 | − | 0.609427i | \(-0.208600\pi\) |
−0.131358 | + | 0.991335i | \(0.541934\pi\) | |||||||
\(642\) | −5.63745 | + | 32.8575i | −0.222492 | + | 1.29678i | ||||
\(643\) | 1.63694 | − | 6.10913i | 0.0645545 | − | 0.240921i | −0.926108 | − | 0.377259i | \(-0.876867\pi\) |
0.990662 | + | 0.136338i | \(0.0435334\pi\) | |||||||
\(644\) | −2.28024 | − | 3.94949i | −0.0898540 | − | 0.155632i | ||||
\(645\) | 12.9893 | − | 3.35827i | 0.511453 | − | 0.132232i | ||||
\(646\) | 1.44949 | − | 2.51059i | 0.0570294 | − | 0.0987778i | ||||
\(647\) | −23.5416 | − | 23.5416i | −0.925516 | − | 0.925516i | 0.0718961 | − | 0.997412i | \(-0.477095\pi\) |
−0.997412 | + | 0.0718961i | \(0.977095\pi\) | |||||||
\(648\) | 5.29738 | + | 7.27583i | 0.208101 | + | 0.285822i | ||||
\(649\) | − | 5.70714i | − | 0.224025i | ||||||
\(650\) | 11.4853 | − | 12.9649i | 0.450490 | − | 0.508525i | ||||
\(651\) | 3.22474 | + | 1.48565i | 0.126388 | + | 0.0582271i | ||||
\(652\) | 6.07812 | + | 1.62863i | 0.238037 | + | 0.0637819i | ||||
\(653\) | 25.5482 | + | 6.84563i | 0.999780 | + | 0.267890i | 0.721353 | − | 0.692567i | \(-0.243520\pi\) |
0.278427 | + | 0.960457i | \(0.410187\pi\) | |||||||
\(654\) | 7.99247 | − | 5.65153i | 0.312530 | − | 0.220992i | ||||
\(655\) | 1.29389 | + | 7.96096i | 0.0505564 | + | 0.311060i | ||||
\(656\) | − | 7.38891i | − | 0.288488i | ||||||
\(657\) | 29.1808 | + | 2.28183i | 1.13845 | + | 0.0890227i | ||||
\(658\) | 29.0227 | + | 29.0227i | 1.13142 | + | 1.13142i | ||||
\(659\) | −5.65685 | + | 9.79796i | −0.220360 | + | 0.381674i | −0.954917 | − | 0.296872i | \(-0.904056\pi\) |
0.734557 | + | 0.678546i | \(0.237390\pi\) | |||||||
\(660\) | −2.46186 | − | 0.0216601i | −0.0958278 | − | 0.000843118i | ||||
\(661\) | 0.651531 | + | 1.12848i | 0.0253416 | + | 0.0438930i | 0.878418 | − | 0.477893i | \(-0.158599\pi\) |
−0.853076 | + | 0.521786i | \(0.825266\pi\) | |||||||
\(662\) | 0.116337 | − | 0.434174i | 0.00452155 | − | 0.0168746i | ||||
\(663\) | −2.07395 | − | 1.72401i | −0.0805456 | − | 0.0669549i | ||||
\(664\) | −4.71940 | − | 2.72474i | −0.183148 | − | 0.105741i | ||||
\(665\) | 6.61037 | − | 65.4359i | 0.256339 | − | 2.53749i | ||||
\(666\) | 2.32577 | + | 12.5136i | 0.0901216 | + | 0.484893i | ||||
\(667\) | −0.224745 | + | 0.224745i | −0.00870216 | + | 0.00870216i | ||||
\(668\) | 2.27708 | + | 8.49818i | 0.0881028 | + | 0.328804i | ||||
\(669\) | −25.6308 | − | 36.2474i | −0.990945 | − | 1.40141i | ||||
\(670\) | −5.24131 | + | 13.8208i | −0.202490 | + | 0.533942i | ||||
\(671\) | −0.303062 | + | 0.174973i | −0.0116996 | + | 0.00675474i | ||||
\(672\) | −2.73583 | − | 7.41007i | −0.105537 | − | 0.285850i | ||||
\(673\) | 22.4704 | − | 6.02093i | 0.866171 | − | 0.232090i | 0.201740 | − | 0.979439i | \(-0.435340\pi\) |
0.664431 | + | 0.747349i | \(0.268674\pi\) | |||||||
\(674\) | −3.11416 | −0.119953 | ||||||||
\(675\) | 8.56827 | + | 24.5272i | 0.329793 | + | 0.944053i | ||||
\(676\) | 1.00000 | 0.0384615 | ||||||||
\(677\) | −44.0423 | + | 11.8011i | −1.69268 | + | 0.453553i | −0.971080 | − | 0.238755i | \(-0.923261\pi\) |
−0.721602 | + | 0.692308i | \(0.756594\pi\) | |||||||
\(678\) | 3.47820 | + | 9.42078i | 0.133579 | + | 0.361803i | ||||
\(679\) | −10.6066 | + | 6.12372i | −0.407044 | + | 0.235007i | ||||
\(680\) | 0.356397 | − | 0.939780i | 0.0136672 | − | 0.0360389i | ||||
\(681\) | 24.8990 | + | 35.2125i | 0.954131 | + | 1.34934i | ||||
\(682\) | −0.0739521 | − | 0.275993i | −0.00283177 | − | 0.0105683i | ||||
\(683\) | 13.8564 | − | 13.8564i | 0.530201 | − | 0.530201i | −0.390431 | − | 0.920632i | \(-0.627674\pi\) |
0.920632 | + | 0.390431i | \(0.127674\pi\) | |||||||
\(684\) | 18.2419 | + | 6.44949i | 0.697497 | + | 0.246602i | ||||
\(685\) | 4.89898 | − | 48.4949i | 0.187180 | − | 1.85289i | ||||
\(686\) | 26.8485 | + | 15.5010i | 1.02508 | + | 0.591830i | ||||
\(687\) | 2.19976 | + | 1.82859i | 0.0839260 | + | 0.0697649i | ||||
\(688\) | 0.896575 | − | 3.34607i | 0.0341816 | − | 0.127568i | ||||
\(689\) | 9.26382 | + | 16.0454i | 0.352923 | + | 0.611281i | ||||
\(690\) | 3.87283 | + | 0.0340742i | 0.147436 | + | 0.00129718i | ||||
\(691\) | 10.4722 | − | 18.1384i | 0.398381 | − | 0.690016i | −0.595145 | − | 0.803618i | \(-0.702906\pi\) |
0.993526 | + | 0.113602i | \(0.0362388\pi\) | |||||||
\(692\) | −9.12096 | − | 9.12096i | −0.346727 | − | 0.346727i | ||||
\(693\) | 3.74807 | + | 7.84785i | 0.142377 | + | 0.298115i | ||||
\(694\) | 23.7980i | 0.903358i | ||||||||
\(695\) | 1.11240 | + | 6.84428i | 0.0421956 | + | 0.259618i | ||||
\(696\) | −0.449490 | + | 0.317837i | −0.0170379 | + | 0.0120476i | ||||
\(697\) | −3.20807 | − | 0.859599i | −0.121514 | − | 0.0325596i | ||||
\(698\) | −28.0557 | − | 7.51750i | −1.06192 | − | 0.284542i | ||||
\(699\) | 32.1698 | + | 14.8207i | 1.21677 | + | 0.560569i | ||||
\(700\) | −1.37737 | − | 22.7608i | −0.0520597 | − | 0.860276i | ||||
\(701\) | − | 21.1024i | − | 0.797028i | −0.917162 | − | 0.398514i | \(-0.869526\pi\) | ||
0.917162 | − | 0.398514i | \(-0.130474\pi\) | |||||||
\(702\) | 8.78335 | − | 15.7116i | 0.331506 | − | 0.592994i | ||||
\(703\) | 19.3485 | + | 19.3485i | 0.729741 | + | 0.729741i | ||||
\(704\) | −0.317837 | + | 0.550510i | −0.0119789 | + | 0.0207481i | ||||
\(705\) | −33.7472 | + | 8.72505i | −1.27099 | + | 0.328604i | ||||
\(706\) | 17.1464 | + | 29.6985i | 0.645314 | + | 1.11772i | ||||
\(707\) | −14.8546 | + | 55.4382i | −0.558666 | + | 2.08497i | ||||
\(708\) | −2.62962 | + | 15.3266i | −0.0988272 | + | 0.576007i | ||||
\(709\) | 25.6790 | + | 14.8258i | 0.964394 | + | 0.556793i | 0.897523 | − | 0.440968i | \(-0.145365\pi\) |
0.0668716 | + | 0.997762i | \(0.478698\pi\) | |||||||
\(710\) | −13.9993 | − | 1.41421i | −0.525383 | − | 0.0530745i | ||||
\(711\) | −7.22474 | + | 1.34278i | −0.270949 | + | 0.0503582i | ||||
\(712\) | −5.67423 | + | 5.67423i | −0.212651 | + | 0.212651i | ||||
\(713\) | 0.116337 | + | 0.434174i | 0.00435684 | + | 0.0162599i | ||||
\(714\) | −3.53553 | + | 0.325765i | −0.132314 | + | 0.0121915i | ||||
\(715\) | 2.02090 | + | 4.49009i | 0.0755772 | + | 0.167920i | ||||
\(716\) | −9.24745 | + | 5.33902i | −0.345593 | + | 0.199528i | ||||
\(717\) | −18.7899 | + | 22.6040i | −0.701722 | + | 0.844160i | ||||
\(718\) | 3.20807 | − | 0.859599i | 0.119724 | − | 0.0320800i | ||||
\(719\) | −32.5269 | −1.21305 | −0.606525 | − | 0.795065i | \(-0.707437\pi\) | ||||
−0.606525 | + | 0.795065i | \(0.707437\pi\) | |||||||
\(720\) | 6.60136 | + | 1.19249i | 0.246018 | + | 0.0444417i | ||||
\(721\) | −44.4949 | −1.65708 | ||||||||
\(722\) | 21.8260 | − | 5.84825i | 0.812279 | − | 0.217649i | ||||
\(723\) | −32.4350 | − | 5.56497i | −1.20627 | − | 0.206964i | ||||
\(724\) | −13.3797 | + | 7.72474i | −0.497251 | + | 0.287088i | ||||
\(725\) | −1.50739 | + | 0.503284i | −0.0559830 | + | 0.0186915i | ||||
\(726\) | −7.67934 | + | 16.6688i | −0.285007 | + | 0.618636i | ||||
\(727\) | 12.5068 | + | 46.6759i | 0.463850 | + | 1.73111i | 0.660673 | + | 0.750674i | \(0.270271\pi\) |
−0.196822 | + | 0.980439i | \(0.563062\pi\) | |||||||
\(728\) | −11.1708 | + | 11.1708i | −0.414019 | + | 0.414019i | ||||
\(729\) | 14.1421 | + | 23.0000i | 0.523783 | + | 0.851852i | ||||
\(730\) | 16.8990 | − | 13.7980i | 0.625459 | − | 0.510685i | ||||
\(731\) | −1.34847 | − | 0.778539i | −0.0498749 | − | 0.0287953i | ||||
\(732\) | 0.894494 | − | 0.330251i | 0.0330614 | − | 0.0122064i | ||||
\(733\) | 8.83821 | − | 32.9846i | 0.326447 | − | 1.21832i | −0.586403 | − | 0.810019i | \(-0.699457\pi\) |
0.912850 | − | 0.408296i | \(-0.133877\pi\) | |||||||
\(734\) | 2.04989 | + | 3.55051i | 0.0756627 | + | 0.131052i | ||||
\(735\) | −46.5130 | + | 26.3114i | −1.71566 | + | 0.970512i | ||||
\(736\) | 0.500000 | − | 0.866025i | 0.0184302 | − | 0.0319221i | ||||
\(737\) | −2.97129 | − | 2.97129i | −0.109449 | − | 0.109449i | ||||
\(738\) | 1.72808 | − | 22.0993i | 0.0636115 | − | 0.813485i | ||||
\(739\) | − | 28.9444i | − | 1.06474i | −0.846513 | − | 0.532368i | \(-0.821302\pi\) | ||
0.846513 | − | 0.532368i | \(-0.178698\pi\) | |||||||
\(740\) | 7.69748 | + | 5.54516i | 0.282965 | + | 0.203844i | ||||
\(741\) | −3.55051 | − | 38.5337i | −0.130431 | − | 1.41557i | ||||
\(742\) | 23.5605 | + | 6.31300i | 0.864931 | + | 0.231758i | ||||
\(743\) | −9.56168 | − | 2.56204i | −0.350784 | − | 0.0939923i | 0.0791245 | − | 0.996865i | \(-0.474788\pi\) |
−0.429909 | + | 0.902872i | \(0.641454\pi\) | |||||||
\(744\) | 0.0714323 | + | 0.775255i | 0.00261883 | + | 0.0284222i | ||||
\(745\) | −9.75014 | + | 1.58468i | −0.357218 | + | 0.0580583i | ||||
\(746\) | − | 0.492810i | − | 0.0180431i | ||||||
\(747\) | −13.4779 | − | 9.25311i | −0.493129 | − | 0.338553i | ||||
\(748\) | 0.202041 | + | 0.202041i | 0.00738735 | + | 0.00738735i | ||||
\(749\) | 43.8888 | − | 76.0176i | 1.60366 | − | 2.77762i | ||||
\(750\) | 17.2480 | + | 8.80385i | 0.629807 | + | 0.321471i | ||||
\(751\) | −10.3485 | − | 17.9241i | −0.377621 | − | 0.654059i | 0.613095 | − | 0.790010i | \(-0.289924\pi\) |
−0.990716 | + | 0.135951i | \(0.956591\pi\) | |||||||
\(752\) | −2.32937 | + | 8.69333i | −0.0849434 | + | 0.317013i | ||||
\(753\) | −4.36362 | + | 1.61107i | −0.159019 | + | 0.0587107i | ||||
\(754\) | 0.953512 | + | 0.550510i | 0.0347248 | + | 0.0200484i | ||||
\(755\) | 24.8844 | + | 30.4770i | 0.905636 | + | 1.10917i | ||||
\(756\) | −6.44949 | − | 22.8024i | −0.234566 | − | 0.829315i | ||||
\(757\) | 22.0454 | − | 22.0454i | 0.801254 | − | 0.801254i | −0.182038 | − | 0.983292i | \(-0.558269\pi\) |
0.983292 | + | 0.182038i | \(0.0582693\pi\) | |||||||
\(758\) | −5.52539 | − | 20.6210i | −0.200691 | − | 0.748990i | ||||
\(759\) | −0.460702 | + | 1.00000i | −0.0167224 | + | 0.0362977i | ||||
\(760\) | 13.1509 | − | 5.91894i | 0.477033 | − | 0.214703i | ||||
\(761\) | −5.60102 | + | 3.23375i | −0.203037 | + | 0.117223i | −0.598071 | − | 0.801443i | \(-0.704066\pi\) |
0.395034 | + | 0.918666i | \(0.370733\pi\) | |||||||
\(762\) | −4.52973 | − | 0.777179i | −0.164095 | − | 0.0281542i | ||||
\(763\) | −24.8955 | + | 6.67072i | −0.901276 | + | 0.241496i | ||||
\(764\) | −17.4634 | −0.631803 | ||||||||
\(765\) | 1.28573 | − | 2.72741i | 0.0464856 | − | 0.0986096i | ||||
\(766\) | 8.20204 | 0.296352 | ||||||||
\(767\) | 30.0413 | − | 8.04954i | 1.08473 | − | 0.290652i | ||||
\(768\) | 1.10721 | − | 1.33195i | 0.0399529 | − | 0.0480627i | ||||
\(769\) | 8.39780 | − | 4.84847i | 0.302832 | − | 0.174840i | −0.340882 | − | 0.940106i | \(-0.610726\pi\) |
0.643715 | + | 0.765266i | \(0.277392\pi\) | |||||||
\(770\) | 6.06110 | + | 2.29858i | 0.218427 | + | 0.0828351i | ||||
\(771\) | −31.1237 | + | 2.86775i | −1.12089 | + | 0.103280i | ||||
\(772\) | 4.48288 | + | 16.7303i | 0.161342 | + | 0.602138i | ||||
\(773\) | −30.8270 | + | 30.8270i | −1.10877 | + | 1.10877i | −0.115456 | + | 0.993313i | \(0.536833\pi\) |
−0.993313 | + | 0.115456i | \(0.963167\pi\) | |||||||
\(774\) | 3.46410 | − | 9.79796i | 0.124515 | − | 0.352180i | ||||
\(775\) | −0.449490 | + | 2.20204i | −0.0161461 | + | 0.0790996i | ||||
\(776\) | −2.32577 | − | 1.34278i | −0.0834901 | − | 0.0482030i | ||||
\(777\) | 5.66704 | − | 33.0299i | 0.203304 | − | 1.18494i | ||||
\(778\) | 9.52497 | − | 35.5477i | 0.341487 | − | 1.27445i | ||||
\(779\) | −23.8273 | − | 41.2702i | −0.853703 | − | 1.47866i | ||||
\(780\) | −3.35827 | − | 12.9893i | −0.120245 | − | 0.465092i | ||||
\(781\) | 2.00000 | − | 3.46410i | 0.0715656 | − | 0.123955i | ||||
\(782\) | −0.317837 | − | 0.317837i | −0.0113658 | − | 0.0113658i | ||||
\(783\) | −1.41870 | + | 0.845485i | −0.0507002 | + | 0.0302152i | ||||
\(784\) | 13.7980i | 0.492784i | ||||||||
\(785\) | 19.1280 | − | 26.5524i | 0.682707 | − | 0.947695i | ||||
\(786\) | 5.67423 | + | 2.61413i | 0.202393 | + | 0.0932429i | ||||
\(787\) | 9.42418 | + | 2.52520i | 0.335936 | + | 0.0900137i | 0.422844 | − | 0.906203i | \(-0.361032\pi\) |
−0.0869079 | + | 0.996216i | \(0.527699\pi\) | |||||||
\(788\) | −9.46410 | − | 2.53590i | −0.337145 | − | 0.0903376i | ||||
\(789\) | −23.6130 | + | 16.6969i | −0.840646 | + | 0.594427i | ||||
\(790\) | −3.20150 | + | 4.44414i | −0.113904 | + | 0.158115i | ||||
\(791\) | − | 26.4415i | − | 0.940150i | ||||||
\(792\) | −1.07936 | + | 1.57217i | −0.0383534 | + | 0.0558646i | ||||
\(793\) | −1.34847 | − | 1.34847i | −0.0478855 | − | 0.0478855i | ||||
\(794\) | −7.46034 | + | 12.9217i | −0.264757 | + | 0.458573i | ||||
\(795\) | −14.7757 | + | 14.5180i | −0.524040 | + | 0.514899i | ||||
\(796\) | −4.22474 | − | 7.31747i | −0.149742 | − | 0.259361i | ||||
\(797\) | 10.3005 | − | 38.4419i | 0.364861 | − | 1.36168i | −0.502747 | − | 0.864433i | \(-0.667677\pi\) |
0.867609 | − | 0.497248i | \(-0.165656\pi\) | |||||||
\(798\) | −39.1764 | − | 32.5660i | −1.38683 | − | 1.15282i | ||||
\(799\) | 3.50343 | + | 2.02270i | 0.123942 | + | 0.0715581i | ||||
\(800\) | 4.17121 | − | 2.75699i | 0.147474 | − | 0.0974745i | ||||
\(801\) | −18.2980 | + | 15.6438i | −0.646527 | + | 0.552748i | ||||
\(802\) | −6.24745 | + | 6.24745i | −0.220605 | + | 0.220605i | ||||
\(803\) | 1.60521 | + | 5.99071i | 0.0566465 | + | 0.211408i | ||||
\(804\) | 6.61037 | + | 9.34847i | 0.233130 | + | 0.329695i | ||||
\(805\) | −9.53491 | − | 3.61597i | −0.336061 | − | 0.127446i | ||||
\(806\) | 1.34847 | − | 0.778539i | 0.0474978 | − | 0.0274229i | ||||
\(807\) | 9.05589 | + | 24.5281i | 0.318782 | + | 0.863429i | ||||
\(808\) | −12.1562 | + | 3.25725i | −0.427655 | + | 0.114590i | ||||
\(809\) | 19.4490 | 0.683792 | 0.341896 | − | 0.939738i | \(-0.388931\pi\) | ||||
0.341896 | + | 0.939738i | \(0.388931\pi\) | |||||||
\(810\) | 19.4649 | + | 5.11049i | 0.683927 | + | 0.179564i | ||||
\(811\) | −39.6413 | −1.39200 | −0.695998 | − | 0.718044i | \(-0.745038\pi\) | ||||
−0.695998 | + | 0.718044i | \(0.745038\pi\) | |||||||
\(812\) | 1.40010 | − | 0.375156i | 0.0491339 | − | 0.0131654i | ||||
\(813\) | 16.8245 | + | 45.5694i | 0.590059 | + | 1.59819i | ||||
\(814\) | −2.33562 | + | 1.34847i | −0.0818633 | + | 0.0472638i | ||||
\(815\) | 12.8308 | − | 5.77489i | 0.449444 | − | 0.202286i | ||||
\(816\) | −0.449490 | − | 0.635674i | −0.0157353 | − | 0.0222531i | ||||
\(817\) | −5.78245 | − | 21.5804i | −0.202302 | − | 0.755003i | ||||
\(818\) | −20.4347 | + | 20.4347i | −0.714481 | + | 0.714481i | ||||
\(819\) | −36.0231 | + | 30.7980i | −1.25875 | + | 1.07617i | ||||
\(820\) | −10.4495 | − | 12.7980i | −0.364912 | − | 0.446924i | ||||
\(821\) | 19.3207 | + | 11.1548i | 0.674296 | + | 0.389305i | 0.797702 | − | 0.603051i | \(-0.206049\pi\) |
−0.123407 | + | 0.992356i | \(0.539382\pi\) | |||||||
\(822\) | −29.0338 | − | 24.1348i | −1.01267 | − | 0.841799i | ||||
\(823\) | 0.867910 | − | 3.23908i | 0.0302534 | − | 0.112907i | −0.949148 | − | 0.314830i | \(-0.898052\pi\) |
0.979401 | + | 0.201923i | \(0.0647191\pi\) | |||||||
\(824\) | −4.87832 | − | 8.44949i | −0.169944 | − | 0.294352i | ||||
\(825\) | −4.29470 | + | 3.44408i | −0.149522 | + | 0.119908i | ||||
\(826\) | 20.4722 | − | 35.4589i | 0.712319 | − | 1.23377i | ||||
\(827\) | −31.5662 | − | 31.5662i | −1.09766 | − | 1.09766i | −0.994683 | − | 0.102980i | \(-0.967162\pi\) |
−0.102980 | − | 0.994683i | \(-0.532838\pi\) | |||||||
\(828\) | 1.69798 | − | 2.47323i | 0.0590088 | − | 0.0859507i | ||||
\(829\) | 10.5505i | 0.366434i | 0.983072 | + | 0.183217i | \(0.0586512\pi\) | ||||
−0.983072 | + | 0.183217i | \(0.941349\pi\) | |||||||
\(830\) | −12.0276 | + | 1.95484i | −0.417484 | + | 0.0678534i | ||||
\(831\) | 39.7980 | − | 28.1414i | 1.38058 | − | 0.976215i | ||||
\(832\) | −3.34607 | − | 0.896575i | −0.116004 | − | 0.0310832i | ||||
\(833\) | 5.99071 | + | 1.60521i | 0.207566 | + | 0.0556171i | ||||
\(834\) | 4.87832 | + | 2.24745i | 0.168922 | + | 0.0778228i | ||||
\(835\) | 15.9623 | + | 11.4990i | 0.552397 | + | 0.397939i | ||||
\(836\) | 4.09978i | 0.141794i | ||||||||
\(837\) | 0.0323319 | + | 2.33539i | 0.00111755 | + | 0.0807230i | ||||
\(838\) | 3.55051 | + | 3.55051i | 0.122650 | + | 0.122650i | ||||
\(839\) | −0.246405 | + | 0.426786i | −0.00850684 | + | 0.0147343i | −0.870247 | − | 0.492615i | \(-0.836041\pi\) |
0.861741 | + | 0.507349i | \(0.169375\pi\) | |||||||
\(840\) | −15.2180 | − | 8.96556i | −0.525072 | − | 0.309341i | ||||
\(841\) | 14.4495 | + | 25.0273i | 0.498258 | + | 0.863009i | ||||
\(842\) | −1.32024 | + | 4.92721i | −0.0454985 | + | 0.169803i | ||||
\(843\) | 5.02181 | − | 29.2693i | 0.172960 | − | 1.00809i | ||||
\(844\) | −7.88171 | − | 4.55051i | −0.271300 | − | 0.156635i | ||||
\(845\) | 1.73205 | − | 1.41421i | 0.0595844 | − | 0.0486504i | ||||
\(846\) | −9.00000 | + | 25.4558i | −0.309426 | + | 0.875190i | ||||
\(847\) | 34.1691 | − | 34.1691i | 1.17407 | − | 1.17407i | ||||
\(848\) | 1.38429 | + | 5.16622i | 0.0475366 | + | 0.177409i | ||||
\(849\) | 41.7675 | − | 3.84847i | 1.43346 | − | 0.132079i | ||||
\(850\) | −0.711751 | − | 2.13177i | −0.0244129 | − | 0.0731191i | ||||
\(851\) | 3.67423 | − | 2.12132i | 0.125951 | − | 0.0727179i | ||||
\(852\) | −6.96713 | + | 8.38134i | −0.238690 | + | 0.287140i | ||||
\(853\) | 2.39403 | − | 0.641478i | 0.0819700 | − | 0.0219638i | −0.217601 | − | 0.976038i | \(-0.569823\pi\) |
0.299571 | + | 0.954074i | \(0.403156\pi\) | |||||||
\(854\) | −2.51059 | −0.0859106 | ||||||||
\(855\) | 40.7169 | − | 14.6271i | 1.39249 | − | 0.500237i | ||||
\(856\) | 19.2474 | 0.657864 | ||||||||
\(857\) | 15.2597 | − | 4.08881i | 0.521260 | − | 0.139671i | 0.0114106 | − | 0.999935i | \(-0.496368\pi\) |
0.509849 | + | 0.860264i | \(0.329701\pi\) | |||||||
\(858\) | 3.75912 | + | 0.644963i | 0.128334 | + | 0.0220187i | ||||
\(859\) | 40.2658 | − | 23.2474i | 1.37385 | − | 0.793193i | 0.382440 | − | 0.923980i | \(-0.375084\pi\) |
0.991410 | + | 0.130788i | \(0.0417506\pi\) | |||||||
\(860\) | −3.17914 | − | 7.06350i | −0.108408 | − | 0.240863i | ||||
\(861\) | −24.4217 | + | 53.0097i | −0.832289 | + | 1.80657i | ||||
\(862\) | 4.02628 | + | 15.0263i | 0.137136 | + | 0.511797i | ||||
\(863\) | 20.7132 | − | 20.7132i | 0.705085 | − | 0.705085i | −0.260413 | − | 0.965497i | \(-0.583859\pi\) |
0.965497 | + | 0.260413i | \(0.0838586\pi\) | |||||||
\(864\) | 3.62302 | − | 3.72474i | 0.123258 | − | 0.126718i | ||||
\(865\) | −28.6969 | − | 2.89898i | −0.975725 | − | 0.0985683i | ||||
\(866\) | −16.4722 | − | 9.51023i | −0.559748 | − | 0.323171i | ||||
\(867\) | 27.2941 | − | 10.0771i | 0.926955 | − | 0.342236i | ||||
\(868\) | 0.530550 | − | 1.98004i | 0.0180080 | − | 0.0672069i | ||||
\(869\) | −0.778539 | − | 1.34847i | −0.0264101 | − | 0.0457437i | ||||
\(870\) | −0.329049 | + | 1.18618i | −0.0111558 | + | 0.0402154i | ||||
\(871\) | 11.4495 | − | 19.8311i | 0.387951 | − | 0.671951i | ||||
\(872\) | −3.99624 | − | 3.99624i | −0.135330 | − | 0.135330i | ||||
\(873\) | −6.64202 | − | 4.56002i | −0.224798 | − | 0.154333i | ||||
\(874\) | − | 6.44949i | − | 0.218157i | ||||||
\(875\) | −34.5742 | − | 37.4749i | −1.16882 | − | 1.26688i | ||||
\(876\) | −1.55051 | − | 16.8277i | −0.0523869 | − | 0.568555i | ||||
\(877\) | −41.3188 | − | 11.0713i | −1.39524 | − | 0.373852i | −0.518604 | − | 0.855014i | \(-0.673548\pi\) |
−0.876632 | + | 0.481162i | \(0.840215\pi\) | |||||||
\(878\) | −28.7826 | − | 7.71228i | −0.971366 | − | 0.260277i | ||||
\(879\) | 3.50343 | + | 38.0227i | 0.118168 | + | 1.28247i | ||||
\(880\) | 0.228029 | + | 1.40300i | 0.00768685 | + | 0.0472952i | ||||
\(881\) | 54.8365i | 1.84749i | 0.383010 | + | 0.923744i | \(0.374887\pi\) | ||||
−0.383010 | + | 0.923744i | \(0.625113\pi\) | |||||||
\(882\) | −3.22700 | + | 41.2679i | −0.108659 | + | 1.38956i | ||||
\(883\) | 6.27015 | + | 6.27015i | 0.211007 | + | 0.211007i | 0.804695 | − | 0.593688i | \(-0.202329\pi\) |
−0.593688 | + | 0.804695i | \(0.702329\pi\) | |||||||
\(884\) | −0.778539 | + | 1.34847i | −0.0261851 | + | 0.0453539i | ||||
\(885\) | 17.1204 | + | 30.2652i | 0.575496 | + | 1.01735i | ||||
\(886\) | 2.72474 | + | 4.71940i | 0.0915396 | + | 0.158551i | ||||
\(887\) | −2.12284 | + | 7.92256i | −0.0712781 | + | 0.266014i | −0.992364 | − | 0.123347i | \(-0.960637\pi\) |
0.921085 | + | 0.389360i | \(0.127304\pi\) | |||||||
\(888\) | 6.89363 | − | 2.54516i | 0.231335 | − | 0.0854100i | ||||
\(889\) | 10.4798 | + | 6.05051i | 0.351481 | + | 0.202928i | ||||
\(890\) | −1.80348 | + | 17.8526i | −0.0604529 | + | 0.598422i | ||||
\(891\) | −3.59592 | + | 4.44972i | −0.120468 | + | 0.149071i | ||||
\(892\) | −18.1237 | + | 18.1237i | −0.606827 | + | 0.606827i | ||||
\(893\) | 15.0233 | + | 56.0676i | 0.502734 | + | 1.87623i | ||||
\(894\) | −3.20164 | + | 6.94949i | −0.107079 | + | 0.232426i | ||||
\(895\) | −8.46654 | + | 22.3253i | −0.283005 | + | 0.746253i | ||||
\(896\) | −3.94949 | + | 2.28024i | −0.131943 | + | 0.0761774i | ||||
\(897\) | −5.91359 | − | 1.01461i | −0.197449 | − | 0.0338769i | ||||
\(898\) | 0.890008 | − | 0.238477i | 0.0296999 | − | 0.00795807i | ||||
\(899\) | −0.142865 | −0.00476480 | ||||||||
\(900\) | 13.1203 | − | 7.27027i | 0.437344 | − | 0.242342i | ||||
\(901\) | 2.40408 | 0.0800916 | ||||||||
\(902\) | 4.53689 | − | 1.21566i | 0.151062 | − | 0.0404770i | ||||
\(903\) | −17.4916 | + | 21.0421i | −0.582084 | + | 0.700238i | ||||
\(904\) | 5.02118 | − | 2.89898i | 0.167002 | − | 0.0964186i | ||||
\(905\) | −12.2498 | + | 32.3013i | −0.407197 | + | 1.07373i | ||||
\(906\) | 30.3485 | − | 2.79632i | 1.00826 | − | 0.0929015i | ||||
\(907\) | −0.978838 | − | 3.65307i | −0.0325018 | − | 0.121298i | 0.947769 | − | 0.318957i | \(-0.103333\pi\) |
−0.980271 | + | 0.197659i | \(0.936666\pi\) | |||||||
\(908\) | 17.6062 | − | 17.6062i | 0.584284 | − | 0.584284i | ||||
\(909\) | −37.1195 | + | 6.89898i | −1.23118 | + | 0.228825i | ||||
\(910\) | −3.55051 | + | 35.1464i | −0.117698 | + | 1.16509i | ||||
\(911\) | −6.12372 | − | 3.53553i | −0.202888 | − | 0.117137i | 0.395114 | − | 0.918632i | \(-0.370705\pi\) |
−0.598002 | + | 0.801495i | \(0.704038\pi\) | |||||||
\(912\) | 1.88901 | − | 11.0100i | 0.0625514 | − | 0.364576i | ||||
\(913\) | 0.896575 | − | 3.34607i | 0.0296723 | − | 0.110739i | ||||
\(914\) | 7.31747 | + | 12.6742i | 0.242040 | + | 0.419226i | ||||
\(915\) | 1.08226 | − | 1.83702i | 0.0357785 | − | 0.0607299i | ||||
\(916\) | 0.825765 | − | 1.43027i | 0.0272841 | − | 0.0472574i | ||||
\(917\) | −11.6315 | − | 11.6315i | −0.384107 | − | 0.384107i | ||||
\(918\) | −1.19570 | − | 2.00634i | −0.0394639 | − | 0.0662192i | ||||
\(919\) | − | 12.6515i | − | 0.417335i | −0.977987 | − | 0.208668i | \(-0.933087\pi\) | ||
0.977987 | − | 0.208668i | \(-0.0669127\pi\) | |||||||
\(920\) | −0.358719 | − | 2.20711i | −0.0118266 | − | 0.0727662i | ||||
\(921\) | −14.8485 | − | 6.84072i | −0.489274 | − | 0.225409i | ||||
\(922\) | −31.9256 | − | 8.55444i | −1.05141 | − | 0.281726i | ||||
\(923\) | 21.0552 | + | 5.64173i | 0.693041 | + | 0.185700i | ||||
\(924\) | 4.09978 | − | 2.89898i | 0.134873 | − | 0.0953694i | ||||
\(925\) | 21.1745 | − | 1.28138i | 0.696212 | − | 0.0421314i | ||||
\(926\) | − | 12.2351i | − | 0.402071i | ||||||
\(927\) | −12.6143 | − | 26.4122i | −0.414307 | − | 0.867492i | ||||
\(928\) | 0.224745 | + | 0.224745i | 0.00737761 | + | 0.00737761i | ||||
\(929\) | −21.1024 | + | 36.5505i | −0.692349 | + | 1.19918i | 0.278717 | + | 0.960373i | \(0.410091\pi\) |
−0.971066 | + | 0.238810i | \(0.923243\pi\) | |||||||
\(930\) | 1.22010 | + | 1.24176i | 0.0400087 | + | 0.0407189i | ||||
\(931\) | 44.4949 | + | 77.0674i | 1.45826 | + | 2.52578i | ||||
\(932\) | 5.29272 | − | 19.7527i | 0.173369 | − | 0.647021i | ||||
\(933\) | 36.6363 | + | 30.4545i | 1.19942 | + | 0.997036i | ||||
\(934\) | 3.46410 | + | 2.00000i | 0.113349 | + | 0.0654420i | ||||
\(935\) | 0.635674 | + | 0.0642162i | 0.0207888 | + | 0.00210009i | ||||
\(936\) | −9.79796 | − | 3.46410i | −0.320256 | − | 0.113228i | ||||
\(937\) | −3.10102 | + | 3.10102i | −0.101306 | + | 0.101306i | −0.755943 | − | 0.654637i | \(-0.772821\pi\) |
0.654637 | + | 0.755943i | \(0.272821\pi\) | |||||||
\(938\) | −7.80247 | − | 29.1192i | −0.254760 | − | 0.950776i | ||||
\(939\) | −11.9494 | − | 16.8990i | −0.389953 | − | 0.551477i | ||||
\(940\) | 8.25964 | + | 18.3515i | 0.269400 | + | 0.598561i | ||||
\(941\) | 27.5227 | − | 15.8902i | 0.897215 | − | 0.518007i | 0.0209191 | − | 0.999781i | \(-0.493341\pi\) |
0.876295 | + | 0.481774i | \(0.160007\pi\) | |||||||
\(942\) | −8.77951 | − | 23.7795i | −0.286052 | − | 0.774778i | ||||
\(943\) | −7.13713 | + | 1.91239i | −0.232417 | + | 0.0622760i | ||||
\(944\) | 8.97809 | 0.292212 | ||||||||
\(945\) | −43.4183 | − | 30.3739i | −1.41240 | − | 0.988064i | ||||
\(946\) | 2.20204 | 0.0715945 | ||||||||
\(947\) | 2.94164 | − | 0.788210i | 0.0955904 | − | 0.0256134i | −0.210707 | − | 0.977549i | \(-0.567577\pi\) |
0.306297 | + | 0.951936i | \(0.400910\pi\) | |||||||
\(948\) | 1.46945 | + | 3.98004i | 0.0477255 | + | 0.129266i | ||||
\(949\) | −29.2699 | + | 16.8990i | −0.950141 | + | 0.548564i | ||||
\(950\) | 14.4074 | − | 28.8501i | 0.467436 | − | 0.936020i | ||||
\(951\) | −10.8990 | − | 15.4135i | −0.353424 | − | 0.499816i | ||||
\(952\) | 0.530550 | + | 1.98004i | 0.0171952 | + | 0.0641735i | ||||
\(953\) | 5.79972 | − | 5.79972i | 0.187871 | − | 0.187871i | −0.606904 | − | 0.794775i | \(-0.707589\pi\) |
0.794775 | + | 0.606904i | \(0.207589\pi\) | |||||||
\(954\) | 2.93197 | + | 15.7753i | 0.0949260 | + | 0.510743i | ||||
\(955\) | −30.2474 | + | 24.6969i | −0.978784 | + | 0.799174i | ||||
\(956\) | 14.6969 | + | 8.48528i | 0.475333 | + | 0.274434i | ||||
\(957\) | −0.269109 | − | 0.223701i | −0.00869905 | − | 0.00723123i | ||||
\(958\) | −1.83013 | + | 6.83013i | −0.0591287 | + | 0.220671i | ||||
\(959\) | 49.7046 | + | 86.0908i | 1.60504 | + | 2.78002i | ||||
\(960\) | 0.0340742 | − | 3.87283i | 0.00109974 | − | 0.124995i | ||||
\(961\) | 15.3990 | − | 26.6718i | 0.496741 | − | 0.860381i | ||||
\(962\) | −10.3923 | − | 10.3923i | −0.335061 | − | 0.335061i | ||||
\(963\) | 57.5666 | + | 4.50150i | 1.85506 | + | 0.145059i | ||||
\(964\) | 19.0000i | 0.611949i | ||||||||
\(965\) | 31.4248 | + | 22.6380i | 1.01160 | + | 0.728744i | ||||
\(966\) | −6.44949 | + | 4.56048i | −0.207509 | + | 0.146731i | ||||
\(967\) | 38.6937 | + | 10.3679i | 1.24431 | + | 0.333411i | 0.820134 | − | 0.572171i | \(-0.193899\pi\) |
0.424172 | + | 0.905582i | \(0.360565\pi\) | |||||||
\(968\) | 10.2349 | + | 2.74243i | 0.328961 | + | 0.0881449i | ||||
\(969\) | −4.56048 | − | 2.10102i | −0.146504 | − | 0.0674945i | ||||
\(970\) | −5.92732 | + | 0.963364i | −0.190315 | + | 0.0309317i | ||||
\(971\) | − | 21.4989i | − | 0.689934i | −0.938615 | − | 0.344967i | \(-0.887890\pi\) | ||
0.938615 | − | 0.344967i | \(-0.112110\pi\) | |||||||
\(972\) | 11.7071 | − | 10.2929i | 0.375506 | − | 0.330145i | ||||
\(973\) | −10.0000 | − | 10.0000i | −0.320585 | − | 0.320585i | ||||
\(974\) | 8.48528 | − | 14.6969i | 0.271886 | − | 0.470920i | ||||
\(975\) | −24.1863 | − | 17.7488i | −0.774583 | − | 0.568417i | ||||
\(976\) | −0.275255 | − | 0.476756i | −0.00881070 | − | 0.0152606i | ||||
\(977\) | 1.68100 | − | 6.27359i | 0.0537801 | − | 0.200710i | −0.933808 | − | 0.357773i | \(-0.883536\pi\) |
0.987589 | + | 0.157063i | \(0.0502027\pi\) | |||||||
\(978\) | 1.84304 | − | 10.7420i | 0.0589339 | − | 0.343492i | ||||
\(979\) | −4.41761 | − | 2.55051i | −0.141188 | − | 0.0815147i | ||||
\(980\) | 19.5133 | + | 23.8988i | 0.623328 | + | 0.763418i | ||||
\(981\) | −11.0176 | − | 12.8868i | −0.351765 | − | 0.411445i | ||||
\(982\) | 19.7980 | − | 19.7980i | 0.631778 | − | 0.631778i | ||||
\(983\) | −7.04041 | − | 26.2752i | −0.224554 | − | 0.838047i | −0.982583 | − | 0.185826i | \(-0.940504\pi\) |
0.758029 | − | 0.652221i | \(-0.226163\pi\) | |||||||
\(984\) | −12.7440 | + | 1.17423i | −0.406263 | + | 0.0374332i | ||||
\(985\) | −19.9786 | + | 8.99196i | −0.636571 | + | 0.286508i | ||||
\(986\) | 0.123724 | − | 0.0714323i | 0.00394019 | − | 0.00227487i | ||||
\(987\) | 45.4445 | − | 54.6690i | 1.44651 | − | 1.74013i | ||||
\(988\) | −21.5804 | + | 5.78245i | −0.686564 | + | 0.183964i | ||||
\(989\) | −3.46410 | −0.110152 | ||||||||
\(990\) | 0.353878 | + | 4.24953i | 0.0112470 | + | 0.135059i | ||||
\(991\) | 16.7423 | 0.531838 | 0.265919 | − | 0.963995i | \(-0.414325\pi\) | ||||
0.265919 | + | 0.963995i | \(0.414325\pi\) | |||||||
\(992\) | 0.434174 | − | 0.116337i | 0.0137850 | − | 0.00369369i | ||||
\(993\) | −0.767327 | − | 0.131652i | −0.0243504 | − | 0.00417787i | ||||
\(994\) | 24.8523 | − | 14.3485i | 0.788266 | − | 0.455106i | ||||
\(995\) | −17.6659 | − | 6.69954i | −0.560048 | − | 0.212390i | ||||
\(996\) | −3.94949 | + | 8.57277i | −0.125144 | + | 0.271639i | ||||
\(997\) | −1.73955 | − | 6.49211i | −0.0550922 | − | 0.205607i | 0.932893 | − | 0.360153i | \(-0.117275\pi\) |
−0.987986 | + | 0.154545i | \(0.950609\pi\) | |||||||
\(998\) | 0.635674 | − | 0.635674i | 0.0201219 | − | 0.0201219i | ||||
\(999\) | 21.2132 | − | 6.00000i | 0.671156 | − | 0.189832i |
(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 | 90.2.l.a.83.1 | yes | 8 | |
3.2 | odd | 2 | 270.2.m.a.143.2 | 8 | |||
4.3 | odd | 2 | 720.2.cu.a.353.1 | 8 | |||
5.2 | odd | 4 | inner | 90.2.l.a.47.1 | yes | 8 | |
5.3 | odd | 4 | 450.2.p.a.407.2 | 8 | |||
5.4 | even | 2 | 450.2.p.a.443.2 | 8 | |||
9.2 | odd | 6 | 810.2.f.b.323.1 | 8 | |||
9.4 | even | 3 | 270.2.m.a.233.2 | 8 | |||
9.5 | odd | 6 | inner | 90.2.l.a.23.1 | ✓ | 8 | |
9.7 | even | 3 | 810.2.f.b.323.4 | 8 | |||
15.2 | even | 4 | 270.2.m.a.197.2 | 8 | |||
15.8 | even | 4 | 1350.2.q.g.1007.1 | 8 | |||
15.14 | odd | 2 | 1350.2.q.g.143.1 | 8 | |||
20.7 | even | 4 | 720.2.cu.a.497.1 | 8 | |||
36.23 | even | 6 | 720.2.cu.a.113.1 | 8 | |||
45.2 | even | 12 | 810.2.f.b.647.3 | 8 | |||
45.4 | even | 6 | 1350.2.q.g.1043.1 | 8 | |||
45.7 | odd | 12 | 810.2.f.b.647.2 | 8 | |||
45.13 | odd | 12 | 1350.2.q.g.557.1 | 8 | |||
45.14 | odd | 6 | 450.2.p.a.293.2 | 8 | |||
45.22 | odd | 12 | 270.2.m.a.17.2 | 8 | |||
45.23 | even | 12 | 450.2.p.a.257.2 | 8 | |||
45.32 | even | 12 | inner | 90.2.l.a.77.1 | yes | 8 | |
180.167 | odd | 12 | 720.2.cu.a.257.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
90.2.l.a.23.1 | ✓ | 8 | 9.5 | odd | 6 | inner | |
90.2.l.a.47.1 | yes | 8 | 5.2 | odd | 4 | inner | |
90.2.l.a.77.1 | yes | 8 | 45.32 | even | 12 | inner | |
90.2.l.a.83.1 | yes | 8 | 1.1 | even | 1 | trivial | |
270.2.m.a.17.2 | 8 | 45.22 | odd | 12 | |||
270.2.m.a.143.2 | 8 | 3.2 | odd | 2 | |||
270.2.m.a.197.2 | 8 | 15.2 | even | 4 | |||
270.2.m.a.233.2 | 8 | 9.4 | even | 3 | |||
450.2.p.a.257.2 | 8 | 45.23 | even | 12 | |||
450.2.p.a.293.2 | 8 | 45.14 | odd | 6 | |||
450.2.p.a.407.2 | 8 | 5.3 | odd | 4 | |||
450.2.p.a.443.2 | 8 | 5.4 | even | 2 | |||
720.2.cu.a.113.1 | 8 | 36.23 | even | 6 | |||
720.2.cu.a.257.1 | 8 | 180.167 | odd | 12 | |||
720.2.cu.a.353.1 | 8 | 4.3 | odd | 2 | |||
720.2.cu.a.497.1 | 8 | 20.7 | even | 4 | |||
810.2.f.b.323.1 | 8 | 9.2 | odd | 6 | |||
810.2.f.b.323.4 | 8 | 9.7 | even | 3 | |||
810.2.f.b.647.2 | 8 | 45.7 | odd | 12 | |||
810.2.f.b.647.3 | 8 | 45.2 | even | 12 | |||
1350.2.q.g.143.1 | 8 | 15.14 | odd | 2 | |||
1350.2.q.g.557.1 | 8 | 45.13 | odd | 12 | |||
1350.2.q.g.1007.1 | 8 | 15.8 | even | 4 | |||
1350.2.q.g.1043.1 | 8 | 45.4 | even | 6 |