Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(27,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.x (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: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 27.14 | ||
Character | \(\chi\) | \(=\) | 304.27 |
Dual form | 304.2.x.c.259.14 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.542428 | − | 1.30605i | −0.383554 | − | 0.923518i | ||||
\(3\) | −0.844169 | − | 3.15048i | −0.487381 | − | 1.81893i | −0.569091 | − | 0.822275i | \(-0.692705\pi\) |
0.0817101 | − | 0.996656i | \(-0.473962\pi\) | |||||||
\(4\) | −1.41154 | + | 1.41688i | −0.705772 | + | 0.708439i | ||||
\(5\) | −3.53813 | + | 0.948038i | −1.58230 | + | 0.423976i | −0.939637 | − | 0.342174i | \(-0.888837\pi\) |
−0.642662 | + | 0.766150i | \(0.722170\pi\) | |||||||
\(6\) | −3.65679 | + | 2.81144i | −1.49288 | + | 1.14776i | ||||
\(7\) | 2.14351 | 0.810169 | 0.405084 | − | 0.914279i | \(-0.367242\pi\) | ||||
0.405084 | + | 0.914279i | \(0.367242\pi\) | |||||||
\(8\) | 2.61618 | + | 1.07500i | 0.924958 | + | 0.380069i | ||||
\(9\) | −6.61483 | + | 3.81907i | −2.20494 | + | 1.27302i | ||||
\(10\) | 3.15737 | + | 4.10674i | 0.998447 | + | 1.29866i | ||||
\(11\) | −0.139922 | + | 0.139922i | −0.0421882 | + | 0.0421882i | −0.727886 | − | 0.685698i | \(-0.759497\pi\) |
0.685698 | + | 0.727886i | \(0.259497\pi\) | |||||||
\(12\) | 5.65543 | + | 3.25096i | 1.63258 | + | 0.938471i | ||||
\(13\) | 1.17494 | − | 4.38493i | 0.325869 | − | 1.21616i | −0.587566 | − | 0.809176i | \(-0.699914\pi\) |
0.913435 | − | 0.406984i | \(-0.133419\pi\) | |||||||
\(14\) | −1.16270 | − | 2.79953i | −0.310744 | − | 0.748206i | ||||
\(15\) | 5.97355 | + | 10.3465i | 1.54236 | + | 2.67145i | ||||
\(16\) | −0.0150829 | − | 3.99997i | −0.00377074 | − | 0.999993i | ||||
\(17\) | −2.66486 | + | 4.61567i | −0.646323 | + | 1.11946i | 0.337671 | + | 0.941264i | \(0.390361\pi\) |
−0.983994 | + | 0.178200i | \(0.942972\pi\) | |||||||
\(18\) | 8.57597 | + | 6.56774i | 2.02138 | + | 1.54803i | ||||
\(19\) | −4.18675 | + | 1.21291i | −0.960506 | + | 0.278260i | ||||
\(20\) | 3.65097 | − | 6.35129i | 0.816382 | − | 1.42019i | ||||
\(21\) | −1.80948 | − | 6.75307i | −0.394861 | − | 1.47364i | ||||
\(22\) | 0.258644 | + | 0.106848i | 0.0551430 | + | 0.0227801i | ||||
\(23\) | −1.10903 | − | 1.92090i | −0.231249 | − | 0.400535i | 0.726927 | − | 0.686715i | \(-0.240948\pi\) |
−0.958176 | + | 0.286180i | \(0.907615\pi\) | |||||||
\(24\) | 1.17827 | − | 9.14969i | 0.240512 | − | 1.86767i | ||||
\(25\) | 7.28944 | − | 4.20856i | 1.45789 | − | 0.841713i | ||||
\(26\) | −6.36426 | + | 0.843975i | −1.24813 | + | 0.165517i | ||||
\(27\) | 10.6970 | + | 10.6970i | 2.05864 | + | 2.05864i | ||||
\(28\) | −3.02565 | + | 3.03708i | −0.571795 | + | 0.573955i | ||||
\(29\) | −0.437835 | + | 1.63402i | −0.0813039 | + | 0.303430i | −0.994589 | − | 0.103891i | \(-0.966871\pi\) |
0.913285 | + | 0.407322i | \(0.133537\pi\) | |||||||
\(30\) | 10.2728 | − | 13.4140i | 1.87556 | − | 2.44905i | ||||
\(31\) | −1.42683 | −0.256267 | −0.128133 | − | 0.991757i | \(-0.540899\pi\) | ||||
−0.128133 | + | 0.991757i | \(0.540899\pi\) | |||||||
\(32\) | −5.21599 | + | 2.18939i | −0.922066 | + | 0.387034i | ||||
\(33\) | 0.558941 | + | 0.322705i | 0.0972991 | + | 0.0561757i | ||||
\(34\) | 7.47380 | + | 0.976778i | 1.28175 | + | 0.167516i | ||||
\(35\) | −7.58399 | + | 2.03213i | −1.28193 | + | 0.343492i | ||||
\(36\) | 3.92597 | − | 14.7632i | 0.654328 | − | 2.46053i | ||||
\(37\) | 1.34861 | − | 1.34861i | 0.221710 | − | 0.221710i | −0.587508 | − | 0.809218i | \(-0.699891\pi\) |
0.809218 | + | 0.587508i | \(0.199891\pi\) | |||||||
\(38\) | 3.85513 | + | 4.81020i | 0.625384 | + | 0.780317i | ||||
\(39\) | −14.8065 | −2.37093 | ||||||||
\(40\) | −10.2755 | − | 1.32324i | −1.62470 | − | 0.209223i | ||||
\(41\) | −2.88779 | + | 5.00180i | −0.450997 | + | 0.781149i | −0.998448 | − | 0.0556882i | \(-0.982265\pi\) |
0.547451 | + | 0.836837i | \(0.315598\pi\) | |||||||
\(42\) | −7.83835 | + | 6.02633i | −1.20948 | + | 0.929882i | ||||
\(43\) | 1.75925 | + | 6.56560i | 0.268283 | + | 1.00124i | 0.960210 | + | 0.279278i | \(0.0900951\pi\) |
−0.691928 | + | 0.721967i | \(0.743238\pi\) | |||||||
\(44\) | −0.000746155 | − | 0.395760i | −0.000112487 | − | 0.0596630i | ||||
\(45\) | 19.7835 | − | 19.7835i | 2.94915 | − | 2.94915i | ||||
\(46\) | −1.90723 | + | 2.49040i | −0.281205 | + | 0.367190i | ||||
\(47\) | −2.52217 | + | 1.45617i | −0.367896 | + | 0.212405i | −0.672539 | − | 0.740062i | \(-0.734796\pi\) |
0.304643 | + | 0.952467i | \(0.401463\pi\) | |||||||
\(48\) | −12.5891 | + | 3.42417i | −1.81708 | + | 0.494236i | ||||
\(49\) | −2.40539 | −0.343627 | ||||||||
\(50\) | −9.45060 | − | 7.23755i | −1.33652 | − | 1.02354i | ||||
\(51\) | 16.7912 | + | 4.49918i | 2.35123 | + | 0.630011i | ||||
\(52\) | 4.55443 | + | 7.85426i | 0.631585 | + | 1.08919i | ||||
\(53\) | −5.83243 | − | 1.56280i | −0.801146 | − | 0.214667i | −0.165059 | − | 0.986284i | \(-0.552781\pi\) |
−0.636087 | + | 0.771617i | \(0.719448\pi\) | |||||||
\(54\) | 8.16850 | − | 19.7732i | 1.11159 | − | 2.69079i | ||||
\(55\) | 0.362412 | − | 0.627715i | 0.0488676 | − | 0.0846411i | ||||
\(56\) | 5.60779 | + | 2.30426i | 0.749372 | + | 0.307920i | ||||
\(57\) | 7.35556 | + | 12.1664i | 0.974268 | + | 1.61147i | ||||
\(58\) | 2.37161 | − | 0.314503i | 0.311408 | − | 0.0412963i | ||||
\(59\) | −4.45159 | + | 1.19280i | −0.579548 | + | 0.155289i | −0.536672 | − | 0.843791i | \(-0.680319\pi\) |
−0.0428761 | + | 0.999080i | \(0.513652\pi\) | |||||||
\(60\) | −23.0917 | − | 6.14075i | −2.98112 | − | 0.792768i | ||||
\(61\) | −10.6004 | − | 2.84038i | −1.35725 | − | 0.363673i | −0.494443 | − | 0.869210i | \(-0.664628\pi\) |
−0.862805 | + | 0.505537i | \(0.831294\pi\) | |||||||
\(62\) | 0.773954 | + | 1.86352i | 0.0982922 | + | 0.236667i | ||||
\(63\) | −14.1789 | + | 8.18620i | −1.78638 | + | 1.03136i | ||||
\(64\) | 5.68876 | + | 5.62477i | 0.711095 | + | 0.703096i | ||||
\(65\) | 16.6283i | 2.06249i | ||||||||
\(66\) | 0.118284 | − | 0.905050i | 0.0145598 | − | 0.111404i | ||||
\(67\) | −4.27098 | − | 1.14441i | −0.521784 | − | 0.139812i | −0.0116922 | − | 0.999932i | \(-0.503722\pi\) |
−0.510092 | + | 0.860120i | \(0.670388\pi\) | |||||||
\(68\) | −2.77827 | − | 10.2910i | −0.336915 | − | 1.24797i | ||||
\(69\) | −5.11555 | + | 5.11555i | −0.615840 | + | 0.615840i | ||||
\(70\) | 6.76783 | + | 8.80281i | 0.808910 | + | 1.05214i | ||||
\(71\) | 7.12548 | + | 4.11390i | 0.845639 | + | 0.488230i | 0.859177 | − | 0.511678i | \(-0.170976\pi\) |
−0.0135379 | + | 0.999908i | \(0.504309\pi\) | |||||||
\(72\) | −21.4111 | + | 2.88044i | −2.52332 | + | 0.339464i | ||||
\(73\) | −4.11502 | − | 2.37581i | −0.481627 | − | 0.278067i | 0.239467 | − | 0.970904i | \(-0.423027\pi\) |
−0.721094 | + | 0.692837i | \(0.756360\pi\) | |||||||
\(74\) | −2.49288 | − | 1.02983i | −0.289791 | − | 0.119716i | ||||
\(75\) | −19.4125 | − | 19.4125i | −2.24156 | − | 2.24156i | ||||
\(76\) | 4.19124 | − | 7.64418i | 0.480768 | − | 0.876848i | ||||
\(77\) | −0.299924 | + | 0.299924i | −0.0341796 | + | 0.0341796i | ||||
\(78\) | 8.03144 | + | 19.3380i | 0.909381 | + | 2.18960i | ||||
\(79\) | 6.36646 | − | 11.0270i | 0.716282 | − | 1.24064i | −0.246180 | − | 0.969224i | \(-0.579176\pi\) |
0.962463 | − | 0.271414i | \(-0.0874911\pi\) | |||||||
\(80\) | 3.84549 | + | 14.1381i | 0.429939 | + | 1.58069i | ||||
\(81\) | 13.2134 | − | 22.8863i | 1.46816 | − | 2.54292i | ||||
\(82\) | 8.09902 | + | 1.05849i | 0.894387 | + | 0.116891i | ||||
\(83\) | −2.21409 | − | 2.21409i | −0.243028 | − | 0.243028i | 0.575074 | − | 0.818101i | \(-0.304973\pi\) |
−0.818101 | + | 0.575074i | \(0.804973\pi\) | |||||||
\(84\) | 12.1224 | + | 6.96845i | 1.32267 | + | 0.760320i | ||||
\(85\) | 5.05278 | − | 18.8572i | 0.548051 | − | 2.04535i | ||||
\(86\) | 7.62075 | − | 5.85903i | 0.821767 | − | 0.631796i | ||||
\(87\) | 5.51756 | 0.591544 | ||||||||
\(88\) | −0.516478 | + | 0.215645i | −0.0550567 | + | 0.0229879i | ||||
\(89\) | −7.09153 | − | 12.2829i | −0.751700 | − | 1.30198i | −0.946998 | − | 0.321239i | \(-0.895901\pi\) |
0.195298 | − | 0.980744i | \(-0.437433\pi\) | |||||||
\(90\) | −36.5694 | − | 15.1072i | −3.85475 | − | 1.59243i | ||||
\(91\) | 2.51848 | − | 9.39911i | 0.264009 | − | 0.985295i | ||||
\(92\) | 4.28713 | + | 1.14007i | 0.446964 | + | 0.118861i | ||||
\(93\) | 1.20449 | + | 4.49521i | 0.124900 | + | 0.466132i | ||||
\(94\) | 3.26993 | + | 2.50421i | 0.337268 | + | 0.258290i | ||||
\(95\) | 13.6634 | − | 8.26062i | 1.40183 | − | 0.847522i | ||||
\(96\) | 11.3008 | + | 14.5847i | 1.15338 | + | 1.48854i | ||||
\(97\) | −5.61324 | − | 3.24080i | −0.569938 | − | 0.329054i | 0.187187 | − | 0.982324i | \(-0.440063\pi\) |
−0.757125 | + | 0.653271i | \(0.773396\pi\) | |||||||
\(98\) | 1.30475 | + | 3.14156i | 0.131799 | + | 0.317345i | ||||
\(99\) | 0.391189 | − | 1.45994i | 0.0393160 | − | 0.146729i | ||||
\(100\) | −4.32636 | + | 16.2688i | −0.432636 | + | 1.62688i | ||||
\(101\) | 2.69278 | − | 10.0496i | 0.267942 | − | 0.999973i | −0.692483 | − | 0.721434i | \(-0.743483\pi\) |
0.960425 | − | 0.278539i | \(-0.0898501\pi\) | |||||||
\(102\) | −3.23183 | − | 24.3706i | −0.319999 | − | 2.41305i | ||||
\(103\) | 0.323012i | 0.0318273i | 0.999873 | + | 0.0159136i | \(0.00506568\pi\) | ||||
−0.999873 | + | 0.0159136i | \(0.994934\pi\) | |||||||
\(104\) | 7.78763 | − | 10.2087i | 0.763640 | − | 1.00104i | ||||
\(105\) | 12.8043 | + | 22.1778i | 1.24958 | + | 2.16433i | ||||
\(106\) | 1.12258 | + | 8.46517i | 0.109035 | + | 0.822210i | ||||
\(107\) | −8.03021 | − | 8.03021i | −0.776309 | − | 0.776309i | 0.202892 | − | 0.979201i | \(-0.434966\pi\) |
−0.979201 | + | 0.202892i | \(0.934966\pi\) | |||||||
\(108\) | −30.2557 | + | 0.0570433i | −2.91135 | + | 0.00548899i | ||||
\(109\) | −0.495160 | + | 0.132678i | −0.0474277 | + | 0.0127082i | −0.282455 | − | 0.959281i | \(-0.591149\pi\) |
0.235027 | + | 0.971989i | \(0.424482\pi\) | |||||||
\(110\) | −1.01641 | − | 0.132838i | −0.0969110 | − | 0.0126656i | ||||
\(111\) | −5.38722 | − | 3.11032i | −0.511333 | − | 0.295218i | ||||
\(112\) | −0.0323304 | − | 8.57396i | −0.00305493 | − | 0.810163i | ||||
\(113\) | − | 8.31570i | − | 0.782275i | −0.920332 | − | 0.391137i | \(-0.872082\pi\) | ||
0.920332 | − | 0.391137i | \(-0.127918\pi\) | |||||||
\(114\) | 11.9000 | − | 16.2061i | 1.11454 | − | 1.51784i | ||||
\(115\) | 5.74499 | + | 5.74499i | 0.535723 | + | 0.535723i | ||||
\(116\) | −1.69718 | − | 2.92685i | −0.157580 | − | 0.271751i | ||||
\(117\) | 8.97434 | + | 33.4927i | 0.829678 | + | 3.09640i | ||||
\(118\) | 3.97253 | + | 5.16701i | 0.365701 | + | 0.475661i | ||||
\(119\) | −5.71214 | + | 9.89371i | −0.523631 | + | 0.906955i | ||||
\(120\) | 4.50541 | + | 33.4898i | 0.411286 | + | 3.05719i | ||||
\(121\) | 10.9608i | 0.996440i | ||||||||
\(122\) | 2.04029 | + | 15.3854i | 0.184719 | + | 1.39293i | ||||
\(123\) | 18.1958 | + | 4.87556i | 1.64066 | + | 0.439614i | ||||
\(124\) | 2.01404 | − | 2.02165i | 0.180866 | − | 0.181549i | ||||
\(125\) | −8.85066 | + | 8.85066i | −0.791627 | + | 0.791627i | ||||
\(126\) | 18.3826 | + | 14.0780i | 1.63766 | + | 1.25417i | ||||
\(127\) | −0.558326 | − | 0.967049i | −0.0495434 | − | 0.0858117i | 0.840190 | − | 0.542292i | \(-0.182443\pi\) |
−0.889734 | + | 0.456480i | \(0.849110\pi\) | |||||||
\(128\) | 4.26050 | − | 10.4808i | 0.376579 | − | 0.926385i | ||||
\(129\) | 19.1997 | − | 11.0850i | 1.69044 | − | 0.975975i | ||||
\(130\) | 21.7174 | − | 9.01966i | 1.90475 | − | 0.791076i | ||||
\(131\) | −11.3085 | + | 3.03010i | −0.988028 | + | 0.264741i | −0.716422 | − | 0.697667i | \(-0.754221\pi\) |
−0.271606 | + | 0.962409i | \(0.587555\pi\) | |||||||
\(132\) | −1.24620 | + | 0.336439i | −0.108468 | + | 0.0292832i | ||||
\(133\) | −8.97431 | + | 2.59987i | −0.778172 | + | 0.225438i | ||||
\(134\) | 0.822044 | + | 6.19889i | 0.0710138 | + | 0.535502i | ||||
\(135\) | −47.9886 | − | 27.7062i | −4.13020 | − | 2.38457i | ||||
\(136\) | −11.9336 | + | 9.21069i | −1.02330 | + | 0.789810i | ||||
\(137\) | −5.29003 | + | 3.05420i | −0.451958 | + | 0.260938i | −0.708657 | − | 0.705554i | \(-0.750698\pi\) |
0.256699 | + | 0.966491i | \(0.417365\pi\) | |||||||
\(138\) | 9.45599 | + | 3.90636i | 0.804947 | + | 0.332531i | ||||
\(139\) | 7.34154 | + | 1.96716i | 0.622701 | + | 0.166852i | 0.556355 | − | 0.830944i | \(-0.312199\pi\) |
0.0663456 | + | 0.997797i | \(0.478866\pi\) | |||||||
\(140\) | 7.82588 | − | 13.6140i | 0.661407 | − | 1.15060i | ||||
\(141\) | 6.71679 | + | 6.71679i | 0.565655 | + | 0.565655i | ||||
\(142\) | 1.50791 | − | 11.5377i | 0.126541 | − | 0.968226i | ||||
\(143\) | 0.449149 | + | 0.777950i | 0.0375598 | + | 0.0650554i | ||||
\(144\) | 15.3760 | + | 26.4015i | 1.28133 | + | 2.20013i | ||||
\(145\) | − | 6.19646i | − | 0.514588i | ||||||
\(146\) | −0.870829 | + | 6.66313i | −0.0720703 | + | 0.551445i | ||||
\(147\) | 2.03055 | + | 7.57812i | 0.167477 | + | 0.625033i | ||||
\(148\) | 0.00719165 | + | 3.81444i | 0.000591150 | + | 0.313545i | ||||
\(149\) | 5.80987 | − | 1.55675i | 0.475963 | − | 0.127534i | −0.0128593 | − | 0.999917i | \(-0.504093\pi\) |
0.488822 | + | 0.872383i | \(0.337427\pi\) | |||||||
\(150\) | −14.8239 | + | 35.8836i | −1.21036 | + | 2.92989i | ||||
\(151\) | 7.20606i | 0.586421i | 0.956048 | + | 0.293211i | \(0.0947237\pi\) | ||||
−0.956048 | + | 0.293211i | \(0.905276\pi\) | |||||||
\(152\) | −12.2571 | − | 1.32756i | −0.994186 | − | 0.107680i | ||||
\(153\) | − | 40.7092i | − | 3.29114i | ||||||
\(154\) | 0.554404 | + | 0.229030i | 0.0446752 | + | 0.0184557i | ||||
\(155\) | 5.04832 | − | 1.35269i | 0.405491 | − | 0.108651i | ||||
\(156\) | 20.9000 | − | 20.9790i | 1.67334 | − | 1.67966i | ||||
\(157\) | 1.09991 | + | 4.10491i | 0.0877822 | + | 0.327608i | 0.995827 | − | 0.0912665i | \(-0.0290915\pi\) |
−0.908044 | + | 0.418874i | \(0.862425\pi\) | |||||||
\(158\) | −17.8552 | − | 2.33356i | −1.42048 | − | 0.185648i | ||||
\(159\) | 19.6942i | 1.56185i | ||||||||
\(160\) | 16.3792 | − | 12.6913i | 1.29489 | − | 1.00334i | ||||
\(161\) | −2.37722 | − | 4.11746i | −0.187351 | − | 0.324501i | ||||
\(162\) | −37.0581 | − | 4.84325i | −2.91156 | − | 0.380522i | ||||
\(163\) | 13.0285 | + | 13.0285i | 1.02047 | + | 1.02047i | 0.999786 | + | 0.0206880i | \(0.00658567\pi\) |
0.0206880 | + | 0.999786i | \(0.493414\pi\) | |||||||
\(164\) | −3.01069 | − | 11.1519i | −0.235095 | − | 0.870817i | ||||
\(165\) | −2.28354 | − | 0.611873i | −0.177773 | − | 0.0476342i | ||||
\(166\) | −1.69073 | + | 4.09269i | −0.131226 | + | 0.317655i | ||||
\(167\) | 20.4258 | − | 11.7929i | 1.58060 | − | 0.912559i | 0.585827 | − | 0.810436i | \(-0.300770\pi\) |
0.994772 | − | 0.102123i | \(-0.0325637\pi\) | |||||||
\(168\) | 2.52562 | − | 19.6124i | 0.194856 | − | 1.51313i | ||||
\(169\) | −6.58877 | − | 3.80403i | −0.506828 | − | 0.292617i | ||||
\(170\) | −27.3693 | + | 3.62948i | −2.09913 | + | 0.278369i | ||||
\(171\) | 23.0624 | − | 24.0127i | 1.76363 | − | 1.83630i | ||||
\(172\) | −11.7859 | − | 6.77500i | −0.898667 | − | 0.516589i | ||||
\(173\) | −9.79243 | + | 2.62387i | −0.744505 | + | 0.199490i | −0.611079 | − | 0.791569i | \(-0.709264\pi\) |
−0.133426 | + | 0.991059i | \(0.542598\pi\) | |||||||
\(174\) | −2.99288 | − | 7.20622i | −0.226889 | − | 0.546302i | ||||
\(175\) | 15.6250 | − | 9.02108i | 1.18114 | − | 0.681929i | ||||
\(176\) | 0.561796 | + | 0.557575i | 0.0423470 | + | 0.0420288i | ||||
\(177\) | 7.51579 | + | 13.0177i | 0.564921 | + | 0.978473i | ||||
\(178\) | −12.1955 | + | 15.9245i | −0.914088 | + | 1.19359i | ||||
\(179\) | −3.93176 | + | 3.93176i | −0.293873 | + | 0.293873i | −0.838608 | − | 0.544735i | \(-0.816630\pi\) |
0.544735 | + | 0.838608i | \(0.316630\pi\) | |||||||
\(180\) | 0.105498 | + | 55.9560i | 0.00786336 | + | 4.17072i | ||||
\(181\) | −22.5822 | − | 6.05087i | −1.67852 | − | 0.449758i | −0.711132 | − | 0.703059i | \(-0.751817\pi\) |
−0.967387 | + | 0.253301i | \(0.918484\pi\) | |||||||
\(182\) | −13.6418 | + | 1.80906i | −1.01120 | + | 0.134097i | ||||
\(183\) | 35.7943i | 2.64599i | ||||||||
\(184\) | −0.836461 | − | 6.21762i | −0.0616647 | − | 0.458369i | ||||
\(185\) | −3.49302 | + | 6.05009i | −0.256812 | + | 0.444811i | ||||
\(186\) | 5.21763 | − | 4.01145i | 0.382575 | − | 0.294134i | ||||
\(187\) | −0.272962 | − | 1.01871i | −0.0199610 | − | 0.0744954i | ||||
\(188\) | 1.49693 | − | 5.62906i | 0.109175 | − | 0.410541i | ||||
\(189\) | 22.9291 | + | 22.9291i | 1.66785 | + | 1.66785i | ||||
\(190\) | −18.2002 | − | 13.3643i | −1.32038 | − | 0.969547i | ||||
\(191\) | 3.44889i | 0.249553i | 0.992185 | + | 0.124776i | \(0.0398214\pi\) | ||||
−0.992185 | + | 0.124776i | \(0.960179\pi\) | |||||||
\(192\) | 12.9184 | − | 22.6706i | 0.932309 | − | 1.63611i | ||||
\(193\) | 0.579381 | + | 0.334506i | 0.0417048 | + | 0.0240783i | 0.520707 | − | 0.853735i | \(-0.325668\pi\) |
−0.479003 | + | 0.877813i | \(0.659002\pi\) | |||||||
\(194\) | −1.18788 | + | 9.08908i | −0.0852852 | + | 0.652558i | ||||
\(195\) | 52.3872 | − | 14.0371i | 3.75152 | − | 1.00522i | ||||
\(196\) | 3.39531 | − | 3.40814i | 0.242522 | − | 0.243438i | ||||
\(197\) | −1.75156 | − | 1.75156i | −0.124794 | − | 0.124794i | 0.641952 | − | 0.766745i | \(-0.278125\pi\) |
−0.766745 | + | 0.641952i | \(0.778125\pi\) | |||||||
\(198\) | −2.11895 | + | 0.280997i | −0.150587 | + | 0.0199696i | ||||
\(199\) | 0.724559 | + | 1.25497i | 0.0513626 | + | 0.0889627i | 0.890564 | − | 0.454859i | \(-0.150310\pi\) |
−0.839201 | + | 0.543821i | \(0.816977\pi\) | |||||||
\(200\) | 23.5947 | − | 3.17421i | 1.66840 | − | 0.224450i | ||||
\(201\) | 14.4217i | 1.01723i | ||||||||
\(202\) | −14.5859 | + | 1.93427i | −1.02626 | + | 0.136094i | ||||
\(203\) | −0.938501 | + | 3.50253i | −0.0658699 | + | 0.245830i | ||||
\(204\) | −30.0763 | + | 17.4402i | −2.10576 | + | 1.22106i | ||||
\(205\) | 5.47547 | − | 20.4347i | 0.382423 | − | 1.42722i | ||||
\(206\) | 0.421870 | − | 0.175210i | 0.0293931 | − | 0.0122075i | ||||
\(207\) | 14.6721 | + | 8.47095i | 1.01978 | + | 0.588772i | ||||
\(208\) | −17.5573 | − | 4.63358i | −1.21738 | − | 0.321281i | ||||
\(209\) | 0.416107 | − | 0.755533i | 0.0287827 | − | 0.0522613i | ||||
\(210\) | 22.0199 | − | 28.7530i | 1.51952 | − | 1.98414i | ||||
\(211\) | 2.72264 | + | 10.1610i | 0.187434 | + | 0.699514i | 0.994096 | + | 0.108501i | \(0.0346052\pi\) |
−0.806662 | + | 0.591013i | \(0.798728\pi\) | |||||||
\(212\) | 10.4470 | − | 6.05789i | 0.717505 | − | 0.416057i | ||||
\(213\) | 6.94565 | − | 25.9215i | 0.475908 | − | 1.77611i | ||||
\(214\) | −6.13206 | + | 14.8437i | −0.419179 | + | 1.01469i | ||||
\(215\) | −12.4489 | − | 21.5621i | −0.849007 | − | 1.47052i | ||||
\(216\) | 16.4860 | + | 39.4845i | 1.12173 | + | 2.68658i | ||||
\(217\) | −3.05842 | −0.207619 | ||||||||
\(218\) | 0.441872 | + | 0.574736i | 0.0299274 | + | 0.0389261i | ||||
\(219\) | −4.01117 | + | 14.9699i | −0.271049 | + | 1.01157i | ||||
\(220\) | 0.377835 | + | 1.39954i | 0.0254737 | + | 0.0943570i | ||||
\(221\) | 17.1083 | + | 17.1083i | 1.15083 | + | 1.15083i | ||||
\(222\) | −1.14006 | + | 8.72312i | −0.0765155 | + | 0.585457i | ||||
\(223\) | 0.921370 | − | 1.59586i | 0.0616995 | − | 0.106867i | −0.833526 | − | 0.552481i | \(-0.813681\pi\) |
0.895225 | + | 0.445614i | \(0.147015\pi\) | |||||||
\(224\) | −11.1805 | + | 4.69298i | −0.747029 | + | 0.313563i | ||||
\(225\) | −32.1456 | + | 55.6778i | −2.14304 | + | 3.71186i | ||||
\(226\) | −10.8607 | + | 4.51066i | −0.722445 | + | 0.300045i | ||||
\(227\) | 20.6279 | − | 20.6279i | 1.36912 | − | 1.36912i | 0.507434 | − | 0.861691i | \(-0.330594\pi\) |
0.861691 | − | 0.507434i | \(-0.169406\pi\) | |||||||
\(228\) | −27.6210 | − | 6.75144i | −1.82924 | − | 0.447125i | ||||
\(229\) | 2.63370 | + | 2.63370i | 0.174040 | + | 0.174040i | 0.788752 | − | 0.614712i | \(-0.210728\pi\) |
−0.614712 | + | 0.788752i | \(0.710728\pi\) | |||||||
\(230\) | 4.38701 | − | 10.6195i | 0.289271 | − | 0.700229i | ||||
\(231\) | 1.19809 | + | 0.691719i | 0.0788287 | + | 0.0455118i | ||||
\(232\) | −2.90202 | + | 3.80422i | −0.190527 | + | 0.249759i | ||||
\(233\) | −22.5855 | − | 13.0397i | −1.47962 | − | 0.854262i | −0.479891 | − | 0.877328i | \(-0.659324\pi\) |
−0.999734 | + | 0.0230663i | \(0.992657\pi\) | |||||||
\(234\) | 38.8753 | − | 29.8883i | 2.54136 | − | 1.95386i | ||||
\(235\) | 7.54325 | − | 7.54325i | 0.492067 | − | 0.492067i | ||||
\(236\) | 4.59357 | − | 7.99105i | 0.299016 | − | 0.520173i | ||||
\(237\) | −40.1148 | − | 10.7487i | −2.60574 | − | 0.698205i | ||||
\(238\) | 16.0201 | + | 2.09373i | 1.03843 | + | 0.135716i | ||||
\(239\) | − | 24.5580i | − | 1.58852i | −0.607576 | − | 0.794262i | \(-0.707858\pi\) | ||
0.607576 | − | 0.794262i | \(-0.292142\pi\) | |||||||
\(240\) | 41.2956 | − | 24.0501i | 2.66562 | − | 1.55243i | ||||
\(241\) | 0.809460 | − | 0.467342i | 0.0521419 | − | 0.0301042i | −0.473702 | − | 0.880685i | \(-0.657083\pi\) |
0.525844 | + | 0.850581i | \(0.323749\pi\) | |||||||
\(242\) | 14.3154 | − | 5.94546i | 0.920231 | − | 0.382189i | ||||
\(243\) | −39.4201 | − | 10.5626i | −2.52880 | − | 0.677590i | ||||
\(244\) | 18.9875 | − | 11.0102i | 1.21555 | − | 0.704856i | ||||
\(245\) | 8.51056 | − | 2.28040i | 0.543720 | − | 0.145689i | ||||
\(246\) | −3.50219 | − | 26.4094i | −0.223291 | − | 1.68380i | ||||
\(247\) | 0.399346 | + | 19.7837i | 0.0254098 | + | 1.25880i | ||||
\(248\) | −3.73285 | − | 1.53384i | −0.237036 | − | 0.0973991i | ||||
\(249\) | −5.10637 | + | 8.84450i | −0.323603 | + | 0.560497i | ||||
\(250\) | 16.3603 | + | 6.75858i | 1.03471 | + | 0.427450i | ||||
\(251\) | 3.34092 | + | 0.895197i | 0.210877 | + | 0.0565043i | 0.362711 | − | 0.931902i | \(-0.381851\pi\) |
−0.151834 | + | 0.988406i | \(0.548518\pi\) | |||||||
\(252\) | 8.41533 | − | 31.6450i | 0.530116 | − | 1.99345i | ||||
\(253\) | 0.423956 | + | 0.113599i | 0.0266539 | + | 0.00714188i | ||||
\(254\) | −0.960165 | + | 1.25376i | −0.0602461 | + | 0.0786677i | ||||
\(255\) | −63.6747 | −3.98746 | ||||||||
\(256\) | −15.9995 | + | 0.120663i | −0.999972 | + | 0.00754142i | ||||
\(257\) | 20.6727 | − | 11.9354i | 1.28953 | − | 0.744509i | 0.310958 | − | 0.950424i | \(-0.399350\pi\) |
0.978570 | + | 0.205914i | \(0.0660168\pi\) | |||||||
\(258\) | −24.8920 | − | 19.0630i | −1.54971 | − | 1.18681i | ||||
\(259\) | 2.89075 | − | 2.89075i | 0.179623 | − | 0.179623i | ||||
\(260\) | −23.5603 | − | 23.4716i | −1.46115 | − | 1.45565i | ||||
\(261\) | −3.34425 | − | 12.4809i | −0.207004 | − | 0.772548i | ||||
\(262\) | 10.0915 | + | 13.1259i | 0.623456 | + | 0.810919i | ||||
\(263\) | 6.96163 | − | 12.0579i | 0.429272 | − | 0.743522i | −0.567536 | − | 0.823348i | \(-0.692103\pi\) |
0.996809 | + | 0.0798268i | \(0.0254367\pi\) | |||||||
\(264\) | 1.11538 | + | 1.44511i | 0.0686470 | + | 0.0889405i | ||||
\(265\) | 22.1175 | 1.35867 | ||||||||
\(266\) | 8.26349 | + | 10.3107i | 0.506667 | + | 0.632188i | ||||
\(267\) | −32.7105 | + | 32.7105i | −2.00185 | + | 2.00185i | ||||
\(268\) | 7.65017 | − | 4.43608i | 0.467308 | − | 0.270977i | ||||
\(269\) | −6.54369 | + | 1.75338i | −0.398976 | + | 0.106905i | −0.452727 | − | 0.891649i | \(-0.649549\pi\) |
0.0537514 | + | 0.998554i | \(0.482882\pi\) | |||||||
\(270\) | −10.1554 | + | 77.7042i | −0.618040 | + | 4.72893i | ||||
\(271\) | −19.5780 | − | 11.3034i | −1.18928 | − | 0.686632i | −0.231138 | − | 0.972921i | \(-0.574245\pi\) |
−0.958143 | + | 0.286289i | \(0.907578\pi\) | |||||||
\(272\) | 18.5027 | + | 10.5897i | 1.12189 | + | 0.642097i | ||||
\(273\) | −31.7377 | −1.92086 | ||||||||
\(274\) | 6.85840 | + | 5.25237i | 0.414331 | + | 0.317307i | ||||
\(275\) | −0.431084 | + | 1.60883i | −0.0259954 | + | 0.0970160i | ||||
\(276\) | −0.0272794 | − | 14.4689i | −0.00164202 | − | 0.870927i | ||||
\(277\) | 18.8831 | + | 18.8831i | 1.13457 | + | 1.13457i | 0.989407 | + | 0.145167i | \(0.0463720\pi\) |
0.145167 | + | 0.989407i | \(0.453628\pi\) | |||||||
\(278\) | −1.41304 | − | 10.6555i | −0.0847485 | − | 0.639073i | ||||
\(279\) | 9.43826 | − | 5.44918i | 0.565054 | − | 0.326234i | ||||
\(280\) | −22.0256 | − | 2.83638i | −1.31628 | − | 0.169506i | ||||
\(281\) | 10.8415 | + | 18.7781i | 0.646751 | + | 1.12021i | 0.983894 | + | 0.178752i | \(0.0572059\pi\) |
−0.337143 | + | 0.941453i | \(0.609461\pi\) | |||||||
\(282\) | 5.12910 | − | 12.4158i | 0.305434 | − | 0.739353i | ||||
\(283\) | 1.41257 | + | 5.27180i | 0.0839689 | + | 0.313376i | 0.995117 | − | 0.0987031i | \(-0.0314694\pi\) |
−0.911148 | + | 0.412079i | \(0.864803\pi\) | |||||||
\(284\) | −15.8868 | + | 4.28898i | −0.942710 | + | 0.254504i | ||||
\(285\) | −37.5591 | − | 36.0728i | −2.22481 | − | 2.13677i | ||||
\(286\) | 0.772412 | − | 1.00859i | 0.0456737 | − | 0.0596394i | ||||
\(287\) | −6.18999 | + | 10.7214i | −0.365383 | + | 0.632863i | ||||
\(288\) | 26.1414 | − | 34.4027i | 1.54040 | − | 2.02720i | ||||
\(289\) | −5.70294 | − | 9.87778i | −0.335467 | − | 0.581046i | ||||
\(290\) | −8.09290 | + | 3.36113i | −0.475232 | + | 0.197372i | ||||
\(291\) | −5.47157 | + | 20.4202i | −0.320749 | + | 1.19705i | ||||
\(292\) | 9.17476 | − | 2.47692i | 0.536912 | − | 0.144951i | ||||
\(293\) | −5.02922 | + | 5.02922i | −0.293810 | + | 0.293810i | −0.838583 | − | 0.544773i | \(-0.816616\pi\) |
0.544773 | + | 0.838583i | \(0.316616\pi\) | |||||||
\(294\) | 8.79600 | − | 6.76259i | 0.512993 | − | 0.394402i | ||||
\(295\) | 14.6195 | − | 8.44056i | 0.851179 | − | 0.491429i | ||||
\(296\) | 4.97796 | − | 2.07845i | 0.289338 | − | 0.120807i | ||||
\(297\) | −2.99350 | −0.173701 | ||||||||
\(298\) | −5.18463 | − | 6.74357i | −0.300337 | − | 0.390644i | ||||
\(299\) | −9.72605 | + | 2.60609i | −0.562472 | + | 0.150714i | ||||
\(300\) | 54.9068 | − | 0.103520i | 3.17004 | − | 0.00597672i | ||||
\(301\) | 3.77096 | + | 14.0734i | 0.217354 | + | 0.811177i | ||||
\(302\) | 9.41150 | − | 3.90877i | 0.541571 | − | 0.224924i | ||||
\(303\) | −33.9342 | −1.94947 | ||||||||
\(304\) | 4.91475 | + | 16.7286i | 0.281880 | + | 0.959450i | ||||
\(305\) | 40.1985 | 2.30176 | ||||||||
\(306\) | −53.1683 | + | 22.0818i | −3.03943 | + | 1.26233i | ||||
\(307\) | 6.13583 | + | 22.8992i | 0.350190 | + | 1.30693i | 0.886430 | + | 0.462863i | \(0.153178\pi\) |
−0.536239 | + | 0.844066i | \(0.680156\pi\) | |||||||
\(308\) | −0.00159939 | − | 0.848313i | −9.11335e−5 | − | 0.0483371i | ||||
\(309\) | 1.01764 | − | 0.272676i | 0.0578916 | − | 0.0155120i | ||||
\(310\) | −4.50503 | − | 5.85963i | −0.255869 | − | 0.332805i | ||||
\(311\) | −11.8490 | −0.671897 | −0.335949 | − | 0.941880i | \(-0.609057\pi\) | ||||
−0.335949 | + | 0.941880i | \(0.609057\pi\) | |||||||
\(312\) | −38.7363 | − | 15.9169i | −2.19301 | − | 0.901118i | ||||
\(313\) | −11.8571 | + | 6.84573i | −0.670205 | + | 0.386943i | −0.796154 | − | 0.605093i | \(-0.793136\pi\) |
0.125949 | + | 0.992037i | \(0.459802\pi\) | |||||||
\(314\) | 4.76461 | − | 3.66316i | 0.268882 | − | 0.206724i | ||||
\(315\) | 42.4060 | − | 42.4060i | 2.38931 | − | 2.38931i | ||||
\(316\) | 6.63741 | + | 24.5856i | 0.373383 | + | 1.38305i | ||||
\(317\) | −7.40676 | + | 27.6424i | −0.416005 | + | 1.55255i | 0.366809 | + | 0.930296i | \(0.380450\pi\) |
−0.782814 | + | 0.622256i | \(0.786216\pi\) | |||||||
\(318\) | 25.7217 | − | 10.6827i | 1.44240 | − | 0.599056i | ||||
\(319\) | −0.167373 | − | 0.289899i | −0.00937111 | − | 0.0162312i | ||||
\(320\) | −25.4601 | − | 14.5080i | −1.42326 | − | 0.811021i | ||||
\(321\) | −18.5202 | + | 32.0779i | −1.03369 | + | 1.79041i | ||||
\(322\) | −4.08815 | + | 5.33819i | −0.227824 | + | 0.297486i | ||||
\(323\) | 5.55871 | − | 22.5569i | 0.309295 | − | 1.25510i | ||||
\(324\) | 13.7758 | + | 51.0269i | 0.765321 | + | 2.83483i | ||||
\(325\) | −9.88960 | − | 36.9085i | −0.548576 | − | 2.04731i | ||||
\(326\) | 9.94891 | − | 24.0830i | 0.551019 | − | 1.33383i | ||||
\(327\) | 0.835996 | + | 1.44799i | 0.0462307 | + | 0.0800739i | ||||
\(328\) | −12.9319 | + | 9.98121i | −0.714044 | + | 0.551120i | ||||
\(329\) | −5.40628 | + | 3.12132i | −0.298058 | + | 0.172084i | ||||
\(330\) | 0.439517 | + | 3.31432i | 0.0241946 | + | 0.182447i | ||||
\(331\) | −10.5808 | − | 10.5808i | −0.581572 | − | 0.581572i | 0.353763 | − | 0.935335i | \(-0.384902\pi\) |
−0.935335 | + | 0.353763i | \(0.884902\pi\) | |||||||
\(332\) | 6.26237 | − | 0.0118069i | 0.343692 | − | 0.000647988i | ||||
\(333\) | −3.77038 | + | 14.0713i | −0.206616 | + | 0.771101i | ||||
\(334\) | −26.4816 | − | 20.2804i | −1.44901 | − | 1.10970i | ||||
\(335\) | 16.1962 | 0.884895 | ||||||||
\(336\) | −26.9848 | + | 7.33972i | −1.47214 | + | 0.400415i | ||||
\(337\) | −3.66421 | − | 2.11553i | −0.199602 | − | 0.115240i | 0.396868 | − | 0.917876i | \(-0.370097\pi\) |
−0.596470 | + | 0.802635i | \(0.703431\pi\) | |||||||
\(338\) | −1.39433 | + | 10.6687i | −0.0758415 | + | 0.580300i | ||||
\(339\) | −26.1984 | + | 7.01985i | −1.42290 | + | 0.381266i | ||||
\(340\) | 19.5861 | + | 33.7770i | 1.06221 | + | 1.83181i | ||||
\(341\) | 0.199646 | − | 0.199646i | 0.0108114 | − | 0.0108114i | ||||
\(342\) | −43.8715 | − | 17.0956i | −2.37230 | − | 0.924425i | ||||
\(343\) | −20.1605 | −1.08856 | ||||||||
\(344\) | −2.45550 | + | 19.0680i | −0.132392 | + | 1.02808i | ||||
\(345\) | 13.2497 | − | 22.9492i | 0.713341 | − | 1.23554i | ||||
\(346\) | 8.73860 | + | 11.3662i | 0.469790 | + | 0.611049i | ||||
\(347\) | −0.268753 | − | 1.00300i | −0.0144274 | − | 0.0538439i | 0.958337 | − | 0.285640i | \(-0.0922063\pi\) |
−0.972764 | + | 0.231797i | \(0.925540\pi\) | |||||||
\(348\) | −7.78828 | + | 7.81770i | −0.417496 | + | 0.419073i | ||||
\(349\) | 19.8381 | − | 19.8381i | 1.06191 | − | 1.06191i | 0.0639559 | − | 0.997953i | \(-0.479628\pi\) |
0.997953 | − | 0.0639559i | \(-0.0203717\pi\) | |||||||
\(350\) | −20.2574 | − | 15.5137i | −1.08280 | − | 0.829244i | ||||
\(351\) | 59.4739 | − | 34.3373i | 3.17448 | − | 1.83279i | ||||
\(352\) | 0.423489 | − | 1.03618i | 0.0225720 | − | 0.0552285i | ||||
\(353\) | −20.0687 | −1.06815 | −0.534076 | − | 0.845437i | \(-0.679340\pi\) | ||||
−0.534076 | + | 0.845437i | \(0.679340\pi\) | |||||||
\(354\) | 12.9251 | − | 16.8772i | 0.686960 | − | 0.897013i | ||||
\(355\) | −29.1110 | − | 7.80027i | −1.54505 | − | 0.413995i | ||||
\(356\) | 27.4134 | + | 7.29002i | 1.45290 | + | 0.386370i | ||||
\(357\) | 35.9920 | + | 9.64401i | 1.90490 | + | 0.510415i | ||||
\(358\) | 7.26777 | + | 3.00239i | 0.384114 | + | 0.158681i | ||||
\(359\) | 11.6637 | − | 20.2021i | 0.615586 | − | 1.06623i | −0.374696 | − | 0.927148i | \(-0.622253\pi\) |
0.990281 | − | 0.139078i | \(-0.0444138\pi\) | |||||||
\(360\) | 73.0243 | − | 30.4899i | 3.84872 | − | 1.60696i | ||||
\(361\) | 16.0577 | − | 10.1563i | 0.845143 | − | 0.534541i | ||||
\(362\) | 4.34643 | + | 32.7756i | 0.228443 | + | 1.72265i | ||||
\(363\) | 34.5319 | − | 9.25280i | 1.81246 | − | 0.485646i | ||||
\(364\) | 9.76243 | + | 16.8356i | 0.511691 | + | 0.882428i | ||||
\(365\) | 16.8118 | + | 4.50471i | 0.879971 | + | 0.235788i | ||||
\(366\) | 46.7492 | − | 19.4158i | 2.44362 | − | 1.01488i | ||||
\(367\) | 19.3113 | − | 11.1494i | 1.00804 | − | 0.581993i | 0.0974237 | − | 0.995243i | \(-0.468940\pi\) |
0.910618 | + | 0.413250i | \(0.135606\pi\) | |||||||
\(368\) | −7.66682 | + | 4.46507i | −0.399661 | + | 0.232758i | ||||
\(369\) | − | 44.1147i | − | 2.29652i | ||||||
\(370\) | 9.79644 | + | 1.28033i | 0.509293 | + | 0.0665613i | ||||
\(371\) | −12.5018 | − | 3.34986i | −0.649064 | − | 0.173916i | ||||
\(372\) | −8.06935 | − | 4.63858i | −0.418376 | − | 0.240499i | ||||
\(373\) | −20.4395 | + | 20.4395i | −1.05832 | + | 1.05832i | −0.0601262 | + | 0.998191i | \(0.519150\pi\) |
−0.998191 | + | 0.0601262i | \(0.980850\pi\) | |||||||
\(374\) | −1.18243 | + | 0.909079i | −0.0611417 | + | 0.0470074i | ||||
\(375\) | 35.3553 | + | 20.4124i | 1.82574 | + | 1.05409i | ||||
\(376\) | −8.16382 | + | 1.09828i | −0.421017 | + | 0.0566397i | ||||
\(377\) | 6.65063 | + | 3.83975i | 0.342525 | + | 0.197757i | ||||
\(378\) | 17.5092 | − | 42.3840i | 0.900577 | − | 2.18000i | ||||
\(379\) | −26.1615 | − | 26.1615i | −1.34383 | − | 1.34383i | −0.892213 | − | 0.451615i | \(-0.850848\pi\) |
−0.451615 | − | 0.892213i | \(-0.649152\pi\) | |||||||
\(380\) | −7.58216 | + | 31.0195i | −0.388957 | + | 1.59127i | ||||
\(381\) | −2.57535 | + | 2.57535i | −0.131939 | + | 0.131939i | ||||
\(382\) | 4.50443 | − | 1.87077i | 0.230467 | − | 0.0957171i | ||||
\(383\) | −2.04400 | + | 3.54031i | −0.104443 | + | 0.180901i | −0.913511 | − | 0.406815i | \(-0.866639\pi\) |
0.809067 | + | 0.587716i | \(0.199973\pi\) | |||||||
\(384\) | −36.6163 | − | 4.57502i | −1.86857 | − | 0.233468i | ||||
\(385\) | 0.776831 | − | 1.34551i | 0.0395910 | − | 0.0685736i | ||||
\(386\) | 0.122610 | − | 0.938147i | 0.00624068 | − | 0.0477504i | ||||
\(387\) | −36.7116 | − | 36.7116i | −1.86616 | − | 1.86616i | ||||
\(388\) | 12.5152 | − | 3.37873i | 0.635361 | − | 0.171529i | ||||
\(389\) | −3.37277 | + | 12.5874i | −0.171006 | + | 0.638205i | 0.826191 | + | 0.563390i | \(0.190503\pi\) |
−0.997197 | + | 0.0748146i | \(0.976164\pi\) | |||||||
\(390\) | −46.7494 | − | 60.8063i | −2.36725 | − | 3.07905i | ||||
\(391\) | 11.8217 | 0.597847 | ||||||||
\(392\) | −6.29291 | − | 2.58578i | −0.317840 | − | 0.130602i | ||||
\(393\) | 19.0926 | + | 33.0693i | 0.963092 | + | 1.66812i | ||||
\(394\) | −1.33754 | + | 3.23773i | −0.0673841 | + | 0.163114i | ||||
\(395\) | −12.0713 | + | 45.0507i | −0.607373 | + | 2.26675i | ||||
\(396\) | 1.51637 | + | 2.61503i | 0.0762005 | + | 0.131410i | ||||
\(397\) | 8.38495 | + | 31.2931i | 0.420829 | + | 1.57055i | 0.772867 | + | 0.634569i | \(0.218822\pi\) |
−0.352038 | + | 0.935986i | \(0.614511\pi\) | |||||||
\(398\) | 1.24604 | − | 1.62704i | 0.0624583 | − | 0.0815563i | ||||
\(399\) | 15.7667 | + | 26.0787i | 0.789322 | + | 1.30557i | ||||
\(400\) | −16.9441 | − | 29.0941i | −0.847204 | − | 1.45470i | ||||
\(401\) | 22.7624 | + | 13.1419i | 1.13670 | + | 0.656273i | 0.945611 | − | 0.325300i | \(-0.105465\pi\) |
0.191087 | + | 0.981573i | \(0.438799\pi\) | |||||||
\(402\) | 18.8355 | − | 7.82274i | 0.939431 | − | 0.390163i | ||||
\(403\) | −1.67644 | + | 6.25656i | −0.0835094 | + | 0.311661i | ||||
\(404\) | 10.4381 | + | 18.0008i | 0.519313 | + | 0.895574i | ||||
\(405\) | −25.0537 | + | 93.5016i | −1.24493 | + | 4.64613i | ||||
\(406\) | 5.08356 | − | 0.674139i | 0.252293 | − | 0.0334570i | ||||
\(407\) | 0.377402i | 0.0187071i | ||||||||
\(408\) | 39.0921 | + | 29.8211i | 1.93534 | + | 1.47637i | ||||
\(409\) | −3.24460 | − | 5.61981i | −0.160435 | − | 0.277882i | 0.774590 | − | 0.632464i | \(-0.217956\pi\) |
−0.935025 | + | 0.354582i | \(0.884623\pi\) | |||||||
\(410\) | −29.6589 | + | 3.93311i | −1.46475 | + | 0.194243i | ||||
\(411\) | 14.0879 | + | 14.0879i | 0.694903 | + | 0.694903i | ||||
\(412\) | −0.457668 | − | 0.455945i | −0.0225477 | − | 0.0224628i | ||||
\(413\) | −9.54201 | + | 2.55677i | −0.469532 | + | 0.125811i | ||||
\(414\) | 3.10494 | − | 23.7574i | 0.152600 | − | 1.16761i | ||||
\(415\) | 9.93276 | + | 5.73468i | 0.487580 | + | 0.281504i | ||||
\(416\) | 3.47187 | + | 25.4441i | 0.170222 | + | 1.24750i | ||||
\(417\) | − | 24.7900i | − | 1.21397i | ||||||
\(418\) | −1.21247 | − | 0.133635i | −0.0593040 | − | 0.00653632i | ||||
\(419\) | −20.3603 | − | 20.3603i | −0.994665 | − | 0.994665i | 0.00532114 | − | 0.999986i | \(-0.498306\pi\) |
−0.999986 | + | 0.00532114i | \(0.998306\pi\) | |||||||
\(420\) | −49.4971 | − | 13.1627i | −2.41521 | − | 0.642276i | ||||
\(421\) | −6.80293 | − | 25.3889i | −0.331554 | − | 1.23738i | −0.907557 | − | 0.419930i | \(-0.862055\pi\) |
0.576002 | − | 0.817448i | \(-0.304612\pi\) | |||||||
\(422\) | 11.7940 | − | 9.06754i | 0.574123 | − | 0.441401i | ||||
\(423\) | 11.1225 | − | 19.2647i | 0.540793 | − | 0.936682i | ||||
\(424\) | −13.5787 | − | 10.3584i | −0.659439 | − | 0.503048i | ||||
\(425\) | 44.8609i | 2.17607i | ||||||||
\(426\) | −37.6224 | + | 4.98916i | −1.82281 | + | 0.241726i | ||||
\(427\) | −22.7221 | − | 6.08837i | −1.09960 | − | 0.294637i | ||||
\(428\) | 22.7128 | − | 0.0428222i | 1.09787 | − | 0.00206989i | ||||
\(429\) | 2.07176 | − | 2.07176i | 0.100025 | − | 0.100025i | ||||
\(430\) | −21.4086 | + | 27.9548i | −1.03242 | + | 1.34810i | ||||
\(431\) | 11.4274 | + | 19.7929i | 0.550440 | + | 0.953391i | 0.998243 | + | 0.0592580i | \(0.0188735\pi\) |
−0.447802 | + | 0.894133i | \(0.647793\pi\) | |||||||
\(432\) | 42.6264 | − | 42.9491i | 2.05086 | − | 2.06639i | ||||
\(433\) | −29.4873 | + | 17.0245i | −1.41707 | + | 0.818144i | −0.996040 | − | 0.0889039i | \(-0.971664\pi\) |
−0.421027 | + | 0.907048i | \(0.638330\pi\) | |||||||
\(434\) | 1.65897 | + | 3.99446i | 0.0796333 | + | 0.191740i | ||||
\(435\) | −19.5218 | + | 5.23086i | −0.936000 | + | 0.250800i | ||||
\(436\) | 0.510952 | − | 0.888861i | 0.0244702 | − | 0.0425687i | ||||
\(437\) | 6.97312 | + | 6.69717i | 0.333569 | + | 0.320369i | ||||
\(438\) | 21.7272 | − | 2.88128i | 1.03817 | − | 0.137673i | ||||
\(439\) | 19.3159 | + | 11.1521i | 0.921899 | + | 0.532258i | 0.884240 | − | 0.467032i | \(-0.154677\pi\) |
0.0376583 | + | 0.999291i | \(0.488010\pi\) | |||||||
\(440\) | 1.62293 | − | 1.25262i | 0.0773699 | − | 0.0597164i | ||||
\(441\) | 15.9112 | − | 9.18635i | 0.757677 | − | 0.437445i | ||||
\(442\) | 13.0643 | − | 31.6244i | 0.621407 | − | 1.50422i | ||||
\(443\) | 7.76621 | + | 2.08095i | 0.368984 | + | 0.0988688i | 0.438546 | − | 0.898709i | \(-0.355494\pi\) |
−0.0695624 | + | 0.997578i | \(0.522160\pi\) | |||||||
\(444\) | 12.0112 | − | 3.24269i | 0.570028 | − | 0.153891i | ||||
\(445\) | 36.7354 | + | 36.7354i | 1.74142 | + | 1.74142i | ||||
\(446\) | −2.58405 | − | 0.337719i | −0.122358 | − | 0.0159915i | ||||
\(447\) | −9.80902 | − | 16.9897i | −0.463951 | − | 0.803586i | ||||
\(448\) | 12.1939 | + | 12.0567i | 0.576107 | + | 0.569626i | ||||
\(449\) | 29.7941i | 1.40607i | 0.711156 | + | 0.703034i | \(0.248172\pi\) | ||||
−0.711156 | + | 0.703034i | \(0.751828\pi\) | |||||||
\(450\) | 90.1548 | + | 11.7827i | 4.24994 | + | 0.555440i | ||||
\(451\) | −0.295797 | − | 1.10393i | −0.0139285 | − | 0.0519820i | ||||
\(452\) | 11.7823 | + | 11.7380i | 0.554194 | + | 0.552108i | ||||
\(453\) | 22.7026 | − | 6.08313i | 1.06666 | − | 0.285811i | ||||
\(454\) | −38.1303 | − | 15.7520i | −1.78955 | − | 0.739278i | ||||
\(455\) | 35.6429i | 1.67096i | ||||||||
\(456\) | 6.16464 | + | 39.7366i | 0.288686 | + | 1.86084i | ||||
\(457\) | − | 27.7886i | − | 1.29990i | −0.759979 | − | 0.649948i | \(-0.774791\pi\) | ||
0.759979 | − | 0.649948i | \(-0.225209\pi\) | |||||||
\(458\) | 2.01116 | − | 4.86834i | 0.0939752 | − | 0.227482i | ||||
\(459\) | −77.8799 | + | 20.8679i | −3.63512 | + | 0.974028i | ||||
\(460\) | −16.2492 | + | 0.0306359i | −0.757625 | + | 0.00142841i | ||||
\(461\) | −10.4430 | − | 38.9738i | −0.486379 | − | 1.81519i | −0.573771 | − | 0.819015i | \(-0.694520\pi\) |
0.0873930 | − | 0.996174i | \(-0.472146\pi\) | |||||||
\(462\) | 0.253543 | − | 1.93998i | 0.0117959 | − | 0.0902560i | ||||
\(463\) | − | 8.93410i | − | 0.415203i | −0.978214 | − | 0.207601i | \(-0.933434\pi\) | ||
0.978214 | − | 0.207601i | \(-0.0665657\pi\) | |||||||
\(464\) | 6.54264 | + | 1.72668i | 0.303735 | + | 0.0801591i | ||||
\(465\) | −8.52326 | − | 14.7627i | −0.395257 | − | 0.684605i | ||||
\(466\) | −4.77959 | + | 36.5709i | −0.221410 | + | 1.69412i | ||||
\(467\) | 25.3216 | + | 25.3216i | 1.17175 | + | 1.17175i | 0.981793 | + | 0.189953i | \(0.0608335\pi\) |
0.189953 | + | 0.981793i | \(0.439166\pi\) | |||||||
\(468\) | −60.1228 | − | 34.5609i | −2.77918 | − | 1.59758i | ||||
\(469\) | −9.15488 | − | 2.45304i | −0.422733 | − | 0.113271i | ||||
\(470\) | −13.9435 | − | 5.76021i | −0.643167 | − | 0.265699i | ||||
\(471\) | 12.0039 | − | 6.93048i | 0.553112 | − | 0.319340i | ||||
\(472\) | −12.9284 | − | 1.66488i | −0.595078 | − | 0.0766321i | ||||
\(473\) | −1.16483 | − | 0.672517i | −0.0535591 | − | 0.0309224i | ||||
\(474\) | 7.72097 | + | 58.2224i | 0.354636 | + | 2.67424i | ||||
\(475\) | −25.4145 | + | 26.4616i | −1.16610 | + | 1.21414i | ||||
\(476\) | −5.95524 | − | 22.0588i | −0.272958 | − | 1.01106i | ||||
\(477\) | 44.5490 | − | 11.9369i | 2.03976 | − | 0.546551i | ||||
\(478\) | −32.0740 | + | 13.3209i | −1.46703 | + | 0.609285i | ||||
\(479\) | −8.24201 | + | 4.75853i | −0.376587 | + | 0.217423i | −0.676332 | − | 0.736597i | \(-0.736432\pi\) |
0.299745 | + | 0.954019i | \(0.403098\pi\) | |||||||
\(480\) | −53.8106 | − | 40.8888i | −2.45610 | − | 1.86631i | ||||
\(481\) | −4.32902 | − | 7.49809i | −0.197386 | − | 0.341883i | ||||
\(482\) | −1.04945 | − | 0.803698i | −0.0478010 | − | 0.0366075i | ||||
\(483\) | −10.9652 | + | 10.9652i | −0.498934 | + | 0.498934i | ||||
\(484\) | −15.5302 | − | 15.4717i | −0.705917 | − | 0.703260i | ||||
\(485\) | 22.9328 | + | 6.14481i | 1.04132 | + | 0.279022i | ||||
\(486\) | 7.58726 | + | 57.2141i | 0.344165 | + | 2.59529i | ||||
\(487\) | − | 28.2172i | − | 1.27864i | −0.768940 | − | 0.639321i | \(-0.779215\pi\) | ||
0.768940 | − | 0.639321i | \(-0.220785\pi\) | |||||||
\(488\) | −24.6792 | − | 18.8264i | −1.11718 | − | 0.852231i | ||||
\(489\) | 30.0479 | − | 52.0444i | 1.35881 | − | 2.35353i | ||||
\(490\) | −7.59468 | − | 9.87829i | −0.343093 | − | 0.446256i | ||||
\(491\) | −1.24063 | − | 4.63011i | −0.0559890 | − | 0.208954i | 0.932264 | − | 0.361778i | \(-0.117830\pi\) |
−0.988253 | + | 0.152824i | \(0.951163\pi\) | |||||||
\(492\) | −32.5923 | + | 18.8992i | −1.46937 | + | 0.852042i | ||||
\(493\) | −6.37534 | − | 6.37534i | −0.287131 | − | 0.287131i | ||||
\(494\) | 25.6219 | − | 11.2528i | 1.15278 | − | 0.506286i | ||||
\(495\) | 5.53631i | 0.248838i | ||||||||
\(496\) | 0.0215208 | + | 5.70729i | 0.000966314 | + | 0.256265i | ||||
\(497\) | 15.2735 | + | 8.81816i | 0.685110 | + | 0.395549i | ||||
\(498\) | 14.3212 | + | 1.87169i | 0.641749 | + | 0.0838725i | ||||
\(499\) | −10.2058 | + | 2.73464i | −0.456875 | + | 0.122419i | −0.479914 | − | 0.877315i | \(-0.659332\pi\) |
0.0230397 | + | 0.999735i | \(0.492666\pi\) | |||||||
\(500\) | −0.0471973 | − | 25.0334i | −0.00211073 | − | 1.11953i | ||||
\(501\) | −54.3960 | − | 54.3960i | −2.43024 | − | 2.43024i | ||||
\(502\) | −0.643033 | − | 4.84900i | −0.0287000 | − | 0.216421i | ||||
\(503\) | 17.5909 | + | 30.4684i | 0.784340 | + | 1.35852i | 0.929393 | + | 0.369093i | \(0.120332\pi\) |
−0.145053 | + | 0.989424i | \(0.546335\pi\) | |||||||
\(504\) | −45.8947 | + | 6.17424i | −2.04431 | + | 0.275023i | ||||
\(505\) | 38.1096i | 1.69586i | ||||||||
\(506\) | −0.0815995 | − | 0.615327i | −0.00362754 | − | 0.0273546i | ||||
\(507\) | −6.42248 | + | 23.9690i | −0.285232 | + | 1.06450i | ||||
\(508\) | 2.15829 | + | 0.573953i | 0.0957587 | + | 0.0254651i | ||||
\(509\) | 5.51458 | − | 20.5807i | 0.244429 | − | 0.912223i | −0.729240 | − | 0.684258i | \(-0.760126\pi\) |
0.973669 | − | 0.227965i | \(-0.0732072\pi\) | |||||||
\(510\) | 34.5389 | + | 83.1625i | 1.52941 | + | 3.68250i | ||||
\(511\) | −8.82057 | − | 5.09256i | −0.390199 | − | 0.225281i | ||||
\(512\) | 8.83619 | + | 20.8308i | 0.390508 | + | 0.920600i | ||||
\(513\) | −57.7602 | − | 31.8112i | −2.55017 | − | 1.40450i | ||||
\(514\) | −26.8017 | − | 20.5255i | −1.18217 | − | 0.905343i | ||||
\(515\) | −0.306227 | − | 1.14286i | −0.0134940 | − | 0.0503603i | ||||
\(516\) | −11.3952 | + | 42.8505i | −0.501646 | + | 1.88639i | ||||
\(517\) | 0.149156 | − | 0.556659i | 0.00655989 | − | 0.0244819i | ||||
\(518\) | −5.34350 | − | 2.20745i | −0.234780 | − | 0.0969898i | ||||
\(519\) | 16.5329 | + | 28.6359i | 0.725715 | + | 1.25698i | ||||
\(520\) | −17.8754 | + | 43.5026i | −0.783888 | + | 1.90772i | ||||
\(521\) | −36.7447 | −1.60981 | −0.804907 | − | 0.593401i | \(-0.797785\pi\) | ||||
−0.804907 | + | 0.593401i | \(0.797785\pi\) | |||||||
\(522\) | −14.4867 | + | 11.1377i | −0.634065 | + | 0.487486i | ||||
\(523\) | 6.10738 | − | 22.7930i | 0.267057 | − | 0.996670i | −0.693922 | − | 0.720050i | \(-0.744119\pi\) |
0.960979 | − | 0.276620i | \(-0.0892144\pi\) | |||||||
\(524\) | 11.6692 | − | 20.2999i | 0.509770 | − | 0.886804i | ||||
\(525\) | −41.6108 | − | 41.6108i | −1.81605 | − | 1.81605i | ||||
\(526\) | −19.5244 | − | 2.55172i | −0.851305 | − | 0.111260i | ||||
\(527\) | 3.80231 | − | 6.58579i | 0.165631 | − | 0.286882i | ||||
\(528\) | 1.28238 | − | 2.24062i | 0.0558084 | − | 0.0975103i | ||||
\(529\) | 9.04009 | − | 15.6579i | 0.393048 | − | 0.680778i | ||||
\(530\) | −11.9971 | − | 28.8866i | −0.521122 | − | 1.25475i | ||||
\(531\) | 24.8911 | − | 24.8911i | 1.08018 | − | 1.08018i | ||||
\(532\) | 8.98394 | − | 16.3853i | 0.389503 | − | 0.710395i | ||||
\(533\) | 18.5395 | + | 18.5395i | 0.803036 | + | 0.803036i | ||||
\(534\) | 60.4648 | + | 24.9786i | 2.61657 | + | 1.08093i | ||||
\(535\) | 36.0248 | + | 20.7990i | 1.55749 | + | 0.899217i | ||||
\(536\) | −9.94341 | − | 7.58527i | −0.429490 | − | 0.327634i | ||||
\(537\) | 15.7060 | + | 9.06785i | 0.677763 | + | 0.391307i | ||||
\(538\) | 5.83948 | + | 7.59532i | 0.251758 | + | 0.327457i | ||||
\(539\) | 0.336567 | − | 0.336567i | 0.0144970 | − | 0.0144970i | ||||
\(540\) | 106.994 | − | 28.8854i | 4.60430 | − | 1.24303i | ||||
\(541\) | −15.3935 | − | 4.12468i | −0.661819 | − | 0.177334i | −0.0877522 | − | 0.996142i | \(-0.527968\pi\) |
−0.574067 | + | 0.818808i | \(0.694635\pi\) | |||||||
\(542\) | −4.14314 | + | 31.7012i | −0.177963 | + | 1.36168i | ||||
\(543\) | 76.2526i | 3.27231i | ||||||||
\(544\) | 3.79436 | − | 29.9097i | 0.162682 | − | 1.28237i | ||||
\(545\) | 1.62615 | − | 0.938861i | 0.0696568 | − | 0.0402164i | ||||
\(546\) | 17.2154 | + | 41.4511i | 0.736752 | + | 1.77395i | ||||
\(547\) | 12.6108 | + | 3.37905i | 0.539198 | + | 0.144478i | 0.518132 | − | 0.855300i | \(-0.326627\pi\) |
0.0210656 | + | 0.999778i | \(0.493294\pi\) | |||||||
\(548\) | 3.13969 | − | 11.8065i | 0.134121 | − | 0.504347i | ||||
\(549\) | 80.9677 | − | 21.6952i | 3.45562 | − | 0.925930i | ||||
\(550\) | 2.33505 | − | 0.309654i | 0.0995667 | − | 0.0132037i | ||||
\(551\) | −0.148814 | − | 7.37229i | −0.00633971 | − | 0.314070i | ||||
\(552\) | −18.8824 | + | 7.88398i | −0.803688 | + | 0.335564i | ||||
\(553\) | 13.6465 | − | 23.6365i | 0.580310 | − | 1.00513i | ||||
\(554\) | 14.4196 | − | 34.9050i | 0.612629 | − | 1.48297i | ||||
\(555\) | 22.0094 | + | 5.89740i | 0.934246 | + | 0.250331i | ||||
\(556\) | −13.1501 | + | 7.62532i | −0.557690 | + | 0.323386i | ||||
\(557\) | −13.9698 | − | 3.74320i | −0.591920 | − | 0.158604i | −0.0495894 | − | 0.998770i | \(-0.515791\pi\) |
−0.542331 | + | 0.840165i | \(0.682458\pi\) | |||||||
\(558\) | −12.2365 | − | 9.37107i | −0.518012 | − | 0.396709i | ||||
\(559\) | 30.8567 | 1.30510 | ||||||||
\(560\) | 8.24283 | + | 30.3051i | 0.348323 | + | 1.28062i | ||||
\(561\) | −2.97900 | + | 1.71992i | −0.125773 | + | 0.0726153i | ||||
\(562\) | 18.6444 | − | 24.3453i | 0.786466 | − | 1.02695i | ||||
\(563\) | 10.7837 | − | 10.7837i | 0.454478 | − | 0.454478i | −0.442360 | − | 0.896838i | \(-0.645859\pi\) |
0.896838 | + | 0.442360i | \(0.145859\pi\) | |||||||
\(564\) | −18.9979 | + | 0.0358182i | −0.799956 | + | 0.00150822i | ||||
\(565\) | 7.88360 | + | 29.4220i | 0.331666 | + | 1.23779i | ||||
\(566\) | 6.11903 | − | 4.70447i | 0.257202 | − | 0.197743i | ||||
\(567\) | 28.3230 | − | 49.0569i | 1.18946 | − | 2.06020i | ||||
\(568\) | 14.2191 | + | 18.4226i | 0.596620 | + | 0.772994i | ||||
\(569\) | 26.2224 | 1.09930 | 0.549651 | − | 0.835395i | \(-0.314761\pi\) | ||||
0.549651 | + | 0.835395i | \(0.314761\pi\) | |||||||
\(570\) | −26.7399 | + | 68.6210i | −1.12001 | + | 2.87422i | ||||
\(571\) | −26.7040 | + | 26.7040i | −1.11753 | + | 1.11753i | −0.125426 | + | 0.992103i | \(0.540030\pi\) |
−0.992103 | + | 0.125426i | \(0.959970\pi\) | |||||||
\(572\) | −1.73625 | − | 0.461721i | −0.0725964 | − | 0.0193055i | ||||
\(573\) | 10.8657 | − | 2.91144i | 0.453919 | − | 0.121627i | ||||
\(574\) | 17.3603 | + | 2.26888i | 0.724605 | + | 0.0947012i | ||||
\(575\) | −16.1685 | − | 9.33487i | −0.674271 | − | 0.389291i | ||||
\(576\) | −59.1116 | − | 15.4811i | −2.46298 | − | 0.645045i | ||||
\(577\) | 31.5084 | 1.31171 | 0.655857 | − | 0.754885i | \(-0.272307\pi\) | ||||
0.655857 | + | 0.754885i | \(0.272307\pi\) | |||||||
\(578\) | −9.80747 | + | 12.8063i | −0.407937 | + | 0.532673i | ||||
\(579\) | 0.564759 | − | 2.10771i | 0.0234706 | − | 0.0875934i | ||||
\(580\) | 8.77963 | + | 8.74658i | 0.364554 | + | 0.363182i | ||||
\(581\) | −4.74590 | − | 4.74590i | −0.196893 | − | 0.196893i | ||||
\(582\) | 29.6378 | − | 3.93031i | 1.22852 | − | 0.162917i | ||||
\(583\) | 1.03476 | − | 0.597418i | 0.0428553 | − | 0.0247425i | ||||
\(584\) | −8.21163 | − | 10.6392i | −0.339800 | − | 0.440252i | ||||
\(585\) | −63.5048 | − | 109.993i | −2.62560 | − | 4.54767i | ||||
\(586\) | 9.29641 | + | 3.84044i | 0.384031 | + | 0.158647i | ||||
\(587\) | −5.91066 | − | 22.0589i | −0.243959 | − | 0.910468i | −0.973904 | − | 0.226962i | \(-0.927121\pi\) |
0.729945 | − | 0.683506i | \(-0.239546\pi\) | |||||||
\(588\) | −13.6035 | − | 7.81982i | −0.560998 | − | 0.322484i | ||||
\(589\) | 5.97379 | − | 1.73062i | 0.246146 | − | 0.0713089i | ||||
\(590\) | −18.9538 | − | 14.5154i | −0.780317 | − | 0.597590i | ||||
\(591\) | −4.03965 | + | 6.99687i | −0.166169 | + | 0.287813i | ||||
\(592\) | −5.41474 | − | 5.37406i | −0.222545 | − | 0.220873i | ||||
\(593\) | 9.62404 | + | 16.6693i | 0.395212 | + | 0.684527i | 0.993128 | − | 0.117031i | \(-0.0373378\pi\) |
−0.597916 | + | 0.801559i | \(0.704004\pi\) | |||||||
\(594\) | 1.62376 | + | 3.90967i | 0.0666236 | + | 0.160416i | ||||
\(595\) | 10.8307 | − | 40.4205i | 0.444013 | − | 1.65708i | ||||
\(596\) | −5.99517 | + | 10.4293i | −0.245572 | + | 0.427200i | ||||
\(597\) | 3.34212 | − | 3.34212i | 0.136784 | − | 0.136784i | ||||
\(598\) | 8.67936 | + | 11.2891i | 0.354926 | + | 0.461646i | ||||
\(599\) | −16.3355 | + | 9.43130i | −0.667450 | + | 0.385352i | −0.795110 | − | 0.606466i | \(-0.792587\pi\) |
0.127660 | + | 0.991818i | \(0.459253\pi\) | |||||||
\(600\) | −29.9182 | − | 71.6550i | −1.22140 | − | 2.92530i | ||||
\(601\) | −33.0548 | −1.34833 | −0.674167 | − | 0.738579i | \(-0.735497\pi\) | ||||
−0.674167 | + | 0.738579i | \(0.735497\pi\) | |||||||
\(602\) | 16.3351 | − | 12.5589i | 0.665770 | − | 0.511861i | ||||
\(603\) | 32.6224 | − | 8.74115i | 1.32849 | − | 0.355967i | ||||
\(604\) | −10.2101 | − | 10.1717i | −0.415443 | − | 0.413880i | ||||
\(605\) | −10.3913 | − | 38.7809i | −0.422466 | − | 1.57667i | ||||
\(606\) | 18.4069 | + | 44.3199i | 0.747728 | + | 1.80037i | ||||
\(607\) | 5.08942 | 0.206573 | 0.103287 | − | 0.994652i | \(-0.467064\pi\) | ||||
0.103287 | + | 0.994652i | \(0.467064\pi\) | |||||||
\(608\) | 19.1825 | − | 15.4930i | 0.777953 | − | 0.628322i | ||||
\(609\) | 11.8269 | 0.479251 | ||||||||
\(610\) | −21.8048 | − | 52.5014i | −0.882850 | − | 2.12572i | ||||
\(611\) | 3.42183 | + | 12.7704i | 0.138432 | + | 0.516637i | ||||
\(612\) | 57.6799 | + | 57.4628i | 2.33157 | + | 2.32280i | ||||
\(613\) | −20.6884 | + | 5.54344i | −0.835597 | + | 0.223897i | −0.651154 | − | 0.758946i | \(-0.725715\pi\) |
−0.184443 | + | 0.982843i | \(0.559048\pi\) | |||||||
\(614\) | 26.5794 | − | 20.4349i | 1.07266 | − | 0.824685i | ||||
\(615\) | −69.0014 | −2.78241 | ||||||||
\(616\) | −1.10707 | + | 0.462237i | −0.0446053 | + | 0.0186241i | ||||
\(617\) | −12.2555 | + | 7.07569i | −0.493386 | + | 0.284857i | −0.725978 | − | 0.687718i | \(-0.758613\pi\) |
0.232592 | + | 0.972574i | \(0.425279\pi\) | |||||||
\(618\) | −0.908126 | − | 1.18119i | −0.0365302 | − | 0.0475143i | ||||
\(619\) | 2.67550 | − | 2.67550i | 0.107537 | − | 0.107537i | −0.651291 | − | 0.758828i | \(-0.725772\pi\) |
0.758828 | + | 0.651291i | \(0.225772\pi\) | |||||||
\(620\) | −5.20933 | + | 9.06223i | −0.209212 | + | 0.363948i | ||||
\(621\) | 8.68456 | − | 32.4112i | 0.348500 | − | 1.30062i | ||||
\(622\) | 6.42725 | + | 15.4755i | 0.257709 | + | 0.620510i | ||||
\(623\) | −15.2007 | − | 26.3284i | −0.609004 | − | 1.05483i | ||||
\(624\) | 0.223325 | + | 59.2255i | 0.00894016 | + | 2.37092i | ||||
\(625\) | 1.88119 | − | 3.25831i | 0.0752475 | − | 0.130332i | ||||
\(626\) | 15.3725 | + | 11.7727i | 0.614409 | + | 0.470533i | ||||
\(627\) | −2.73156 | − | 0.673139i | −0.109088 | − | 0.0268826i | ||||
\(628\) | −7.36873 | − | 4.23583i | −0.294044 | − | 0.169028i | ||||
\(629\) | 2.63088 | + | 9.81860i | 0.104900 | + | 0.391493i | ||||
\(630\) | −78.3866 | − | 32.3823i | −3.12300 | − | 1.29014i | ||||
\(631\) | −23.9001 | − | 41.3962i | −0.951449 | − | 1.64796i | −0.742293 | − | 0.670076i | \(-0.766262\pi\) |
−0.209156 | − | 0.977882i | \(-0.567072\pi\) | |||||||
\(632\) | 28.5098 | − | 22.0047i | 1.13406 | − | 0.875301i | ||||
\(633\) | 29.7138 | − | 17.1553i | 1.18102 | − | 0.681860i | ||||
\(634\) | 40.1200 | − | 5.32039i | 1.59337 | − | 0.211299i | ||||
\(635\) | 2.89223 | + | 2.89223i | 0.114775 | + | 0.114775i | ||||
\(636\) | −27.9043 | − | 27.7993i | −1.10648 | − | 1.10231i | ||||
\(637\) | −2.82618 | + | 10.5474i | −0.111977 | + | 0.417905i | ||||
\(638\) | −0.287835 | + | 0.375848i | −0.0113955 | + | 0.0148799i | ||||
\(639\) | −62.8451 | −2.48611 | ||||||||
\(640\) | −5.13795 | + | 41.1217i | −0.203095 | + | 1.62548i | ||||
\(641\) | 18.3114 | + | 10.5721i | 0.723256 | + | 0.417572i | 0.815950 | − | 0.578123i | \(-0.196215\pi\) |
−0.0926940 | + | 0.995695i | \(0.529548\pi\) | |||||||
\(642\) | 51.9412 | + | 6.78838i | 2.04996 | + | 0.267916i | ||||
\(643\) | 7.55317 | − | 2.02386i | 0.297868 | − | 0.0798134i | −0.106790 | − | 0.994282i | \(-0.534057\pi\) |
0.404658 | + | 0.914468i | \(0.367391\pi\) | |||||||
\(644\) | 9.18948 | + | 2.44375i | 0.362116 | + | 0.0962974i | ||||
\(645\) | −57.4220 | + | 57.4220i | −2.26099 | + | 2.26099i | ||||
\(646\) | −32.4756 | + | 4.97551i | −1.27774 | + | 0.195759i | ||||
\(647\) | −20.3052 | −0.798279 | −0.399140 | − | 0.916890i | \(-0.630691\pi\) | ||||
−0.399140 | + | 0.916890i | \(0.630691\pi\) | |||||||
\(648\) | 59.1714 | − | 45.6703i | 2.32447 | − | 1.79410i | ||||
\(649\) | 0.455978 | − | 0.789777i | 0.0178987 | − | 0.0310015i | ||||
\(650\) | −42.8400 | + | 32.9365i | −1.68032 | + | 1.29188i | ||||
\(651\) | 2.58183 | + | 9.63551i | 0.101190 | + | 0.377645i | ||||
\(652\) | −36.8502 | + | 0.0694764i | −1.44317 | + | 0.00272091i | ||||
\(653\) | −14.0997 | + | 14.0997i | −0.551763 | + | 0.551763i | −0.926949 | − | 0.375186i | \(-0.877579\pi\) |
0.375186 | + | 0.926949i | \(0.377579\pi\) | |||||||
\(654\) | 1.43768 | − | 1.87728i | 0.0562178 | − | 0.0734076i | ||||
\(655\) | 37.1382 | − | 21.4418i | 1.45111 | − | 0.837800i | ||||
\(656\) | 20.0506 | + | 11.4756i | 0.782844 | + | 0.448048i | ||||
\(657\) | 36.2935 | 1.41595 | ||||||||
\(658\) | 7.00912 | + | 5.36780i | 0.273244 | + | 0.209259i | ||||
\(659\) | 8.68240 | + | 2.32644i | 0.338218 | + | 0.0906253i | 0.423931 | − | 0.905695i | \(-0.360650\pi\) |
−0.0857125 | + | 0.996320i | \(0.527317\pi\) | |||||||
\(660\) | 4.09027 | − | 2.37181i | 0.159214 | − | 0.0923226i | ||||
\(661\) | 14.4266 | + | 3.86560i | 0.561131 | + | 0.150355i | 0.528226 | − | 0.849104i | \(-0.322857\pi\) |
0.0329050 | + | 0.999458i | \(0.489524\pi\) | |||||||
\(662\) | −8.07975 | + | 19.5584i | −0.314028 | + | 0.760157i | ||||
\(663\) | 39.4571 | − | 68.3418i | 1.53239 | − | 2.65417i | ||||
\(664\) | −3.41230 | − | 8.17258i | −0.132423 | − | 0.317158i | ||||
\(665\) | 29.2875 | − | 17.7067i | 1.13572 | − | 0.686636i | ||||
\(666\) | 20.4230 | − | 2.70832i | 0.791374 | − | 0.104945i | ||||
\(667\) | 3.62437 | − | 0.971146i | 0.140336 | − | 0.0376029i | ||||
\(668\) | −12.1229 | + | 45.5871i | −0.469051 | + | 1.76382i | ||||
\(669\) | −5.80551 | − | 1.55558i | −0.224454 | − | 0.0601423i | ||||
\(670\) | −8.78528 | − | 21.1531i | −0.339405 | − | 0.817216i | ||||
\(671\) | 1.88067 | − | 1.08581i | 0.0726026 | − | 0.0419171i | ||||
\(672\) | 24.2234 | + | 31.2623i | 0.934436 | + | 1.20597i | ||||
\(673\) | − | 31.3404i | − | 1.20808i | −0.796952 | − | 0.604042i | \(-0.793556\pi\) | ||
0.796952 | − | 0.604042i | \(-0.206444\pi\) | |||||||
\(674\) | −0.775428 | + | 5.93318i | −0.0298684 | + | 0.228537i | ||||
\(675\) | 122.994 | + | 32.9562i | 4.73405 | + | 1.26849i | ||||
\(676\) | 14.6902 | − | 3.96592i | 0.565007 | − | 0.152535i | ||||
\(677\) | 7.39238 | − | 7.39238i | 0.284112 | − | 0.284112i | −0.550634 | − | 0.834747i | \(-0.685614\pi\) |
0.834747 | + | 0.550634i | \(0.185614\pi\) | |||||||
\(678\) | 23.3790 | + | 30.4088i | 0.897867 | + | 1.16784i | ||||
\(679\) | −12.0320 | − | 6.94668i | −0.461746 | − | 0.266589i | ||||
\(680\) | 33.4904 | − | 43.9021i | 1.28430 | − | 1.68357i | ||||
\(681\) | −82.4014 | − | 47.5745i | −3.15763 | − | 1.82306i | ||||
\(682\) | −0.369042 | − | 0.152455i | −0.0141313 | − | 0.00583779i | ||||
\(683\) | 22.1398 | + | 22.1398i | 0.847157 | + | 0.847157i | 0.989778 | − | 0.142620i | \(-0.0455527\pi\) |
−0.142620 | + | 0.989778i | \(0.545553\pi\) | |||||||
\(684\) | 1.46936 | + | 66.5716i | 0.0561824 | + | 2.54543i | ||||
\(685\) | 15.8213 | − | 15.8213i | 0.604501 | − | 0.604501i | ||||
\(686\) | 10.9356 | + | 26.3307i | 0.417523 | + | 1.00531i | ||||
\(687\) | 6.07413 | − | 10.5207i | 0.231742 | − | 0.401390i | ||||
\(688\) | 26.2357 | − | 7.13597i | 1.00023 | − | 0.272056i | ||||
\(689\) | −13.7055 | + | 23.7386i | −0.522138 | + | 0.904369i | ||||
\(690\) | −37.1599 | − | 4.85656i | −1.41465 | − | 0.184886i | ||||
\(691\) | 21.7581 | + | 21.7581i | 0.827718 | + | 0.827718i | 0.987201 | − | 0.159483i | \(-0.0509827\pi\) |
−0.159483 | + | 0.987201i | \(0.550983\pi\) | |||||||
\(692\) | 10.1047 | − | 17.5784i | 0.384125 | − | 0.668230i | ||||
\(693\) | 0.838515 | − | 3.12938i | 0.0318526 | − | 0.118875i | ||||
\(694\) | −1.16419 | + | 0.895060i | −0.0441921 | + | 0.0339760i | ||||
\(695\) | −27.8402 | −1.05604 | ||||||||
\(696\) | 14.4349 | + | 5.93136i | 0.547154 | + | 0.224828i | ||||
\(697\) | −15.3911 | − | 26.6582i | −0.582979 | − | 1.00975i | ||||
\(698\) | −36.6703 | − | 15.1489i | −1.38799 | − | 0.573393i | ||||
\(699\) | −22.0155 | + | 82.1629i | −0.832702 | + | 3.10769i | ||||
\(700\) | −9.27357 | + | 34.8723i | −0.350508 | + | 1.31805i | ||||
\(701\) | −1.17020 | − | 4.36724i | −0.0441978 | − | 0.164948i | 0.940300 | − | 0.340348i | \(-0.110545\pi\) |
−0.984497 | + | 0.175400i | \(0.943878\pi\) | |||||||
\(702\) | −77.1066 | − | 59.0506i | −2.91020 | − | 2.22872i | ||||
\(703\) | −4.01055 | + | 7.28203i | −0.151261 | + | 0.274647i | ||||
\(704\) | −1.58302 | + | 0.00895382i | −0.0596622 | + | 0.000337460i | ||||
\(705\) | −30.1326 | − | 17.3971i | −1.13486 | − | 0.655212i | ||||
\(706\) | 10.8858 | + | 26.2108i | 0.409694 | + | 0.986457i | ||||
\(707\) | 5.77199 | − | 21.5414i | 0.217078 | − | 0.810147i | ||||
\(708\) | −29.0534 | − | 7.72616i | −1.09189 | − | 0.290367i | ||||
\(709\) | 8.09558 | − | 30.2131i | 0.304036 | − | 1.13468i | −0.629736 | − | 0.776809i | \(-0.716837\pi\) |
0.933772 | − | 0.357868i | \(-0.116496\pi\) | |||||||
\(710\) | 5.60305 | + | 42.2516i | 0.210279 | + | 1.58567i | ||||
\(711\) | 97.2559i | 3.64738i | ||||||||
\(712\) | −5.34861 | − | 39.7576i | −0.200448 | − | 1.48998i | ||||
\(713\) | 1.58240 | + | 2.74080i | 0.0592615 | + | 0.102644i | ||||
\(714\) | −6.92744 | − | 52.2385i | −0.259253 | − | 1.95498i | ||||
\(715\) | −2.32667 | − | 2.32667i | −0.0870127 | − | 0.0870127i | ||||
\(716\) | −0.0209666 | − | 11.1207i | −0.000783559 | − | 0.415599i | ||||
\(717\) | −77.3694 | + | 20.7311i | −2.88941 | + | 0.774216i | ||||
\(718\) | −32.7117 | − | 4.27521i | −1.22079 | − | 0.159549i | ||||
\(719\) | 35.4566 | + | 20.4709i | 1.32231 | + | 0.763435i | 0.984097 | − | 0.177634i | \(-0.0568445\pi\) |
0.338212 | + | 0.941070i | \(0.390178\pi\) | |||||||
\(720\) | −79.4318 | − | 78.8350i | −2.96025 | − | 2.93801i | ||||
\(721\) | 0.692377i | 0.0257855i | ||||||||
\(722\) | −21.9748 | − | 15.4632i | −0.817816 | − | 0.575479i | ||||
\(723\) | −2.15567 | − | 2.15567i | −0.0801704 | − | 0.0801704i | ||||
\(724\) | 40.4491 | − | 23.4551i | 1.50328 | − | 0.871701i | ||||
\(725\) | 3.68531 | + | 13.7538i | 0.136869 | + | 0.510802i | ||||
\(726\) | −30.8157 | − | 40.0815i | −1.14368 | − | 1.48756i | ||||
\(727\) | −2.10893 | + | 3.65278i | −0.0782160 | + | 0.135474i | −0.902480 | − | 0.430731i | \(-0.858256\pi\) |
0.824264 | + | 0.566205i | \(0.191589\pi\) | |||||||
\(728\) | 16.6928 | − | 21.8824i | 0.618677 | − | 0.811015i | ||||
\(729\) | 53.8283i | 1.99364i | ||||||||
\(730\) | −3.23580 | − | 24.4006i | −0.119762 | − | 0.903107i | ||||
\(731\) | −34.9928 | − | 9.37629i | −1.29426 | − | 0.346795i | ||||
\(732\) | −50.7161 | − | 50.5252i | −1.87452 | − | 1.86746i | ||||
\(733\) | 1.94584 | − | 1.94584i | 0.0718713 | − | 0.0718713i | −0.670257 | − | 0.742129i | \(-0.733816\pi\) |
0.742129 | + | 0.670257i | \(0.233816\pi\) | |||||||
\(734\) | −25.0366 | − | 19.1738i | −0.924120 | − | 0.707719i | ||||
\(735\) | −14.3687 | − | 24.8873i | −0.529998 | − | 0.917983i | ||||
\(736\) | 9.99031 | + | 7.59129i | 0.368248 | + | 0.279819i | ||||
\(737\) | 0.757735 | − | 0.437478i | 0.0279115 | − | 0.0161147i | ||||
\(738\) | −57.6161 | + | 23.9290i | −2.12088 | + | 0.880840i | ||||
\(739\) | −31.4035 | + | 8.41455i | −1.15520 | + | 0.309534i | −0.785046 | − | 0.619437i | \(-0.787361\pi\) |
−0.370151 | + | 0.928971i | \(0.620694\pi\) | |||||||
\(740\) | −3.64168 | − | 13.4892i | −0.133871 | − | 0.495871i | ||||
\(741\) | 61.9909 | − | 17.9589i | 2.27729 | − | 0.659736i | ||||
\(742\) | 2.40625 | + | 18.1451i | 0.0883364 | + | 0.666129i | ||||
\(743\) | 9.49342 | + | 5.48103i | 0.348280 | + | 0.201079i | 0.663927 | − | 0.747797i | \(-0.268888\pi\) |
−0.315648 | + | 0.948876i | \(0.602222\pi\) | |||||||
\(744\) | −1.68119 | + | 13.0551i | −0.0616353 | + | 0.478623i | ||||
\(745\) | −19.0802 | + | 11.0160i | −0.699044 | + | 0.403593i | ||||
\(746\) | 37.7820 | + | 15.6081i | 1.38330 | + | 0.571453i | ||||
\(747\) | 23.1016 | + | 6.19004i | 0.845242 | + | 0.226482i | ||||
\(748\) | 1.82868 | + | 1.05120i | 0.0668633 | + | 0.0384357i | ||||
\(749\) | −17.2128 | − | 17.2128i | −0.628942 | − | 0.628942i | ||||
\(750\) | 7.48196 | − | 57.2481i | 0.273202 | − | 2.09040i | ||||
\(751\) | 15.2926 | + | 26.4876i | 0.558037 | + | 0.966548i | 0.997660 | + | 0.0683658i | \(0.0217785\pi\) |
−0.439624 | + | 0.898182i | \(0.644888\pi\) | |||||||
\(752\) | 5.86270 | + | 10.0666i | 0.213791 | + | 0.367093i | ||||
\(753\) | − | 11.2812i | − | 0.411110i | ||||||
\(754\) | 1.40742 | − | 10.7689i | 0.0512552 | − | 0.392179i | ||||
\(755\) | −6.83163 | − | 25.4960i | −0.248628 | − | 0.927894i | ||||
\(756\) | −64.8532 | + | 0.122273i | −2.35869 | + | 0.00444701i | ||||
\(757\) | −8.03178 | + | 2.15211i | −0.291920 | + | 0.0782197i | −0.401807 | − | 0.915724i | \(-0.631618\pi\) |
0.109887 | + | 0.993944i | \(0.464951\pi\) | |||||||
\(758\) | −19.9776 | + | 48.3591i | −0.725619 | + | 1.75648i | ||||
\(759\) | − | 1.43156i | − | 0.0519623i | ||||||
\(760\) | 44.6259 | − | 6.92316i | 1.61875 | − | 0.251129i | ||||
\(761\) | 1.50692i | 0.0546257i | 0.999627 | + | 0.0273129i | \(0.00869503\pi\) | ||||
−0.999627 | + | 0.0273129i | \(0.991305\pi\) | |||||||
\(762\) | 4.76048 | + | 1.96660i | 0.172454 | + | 0.0712424i | ||||
\(763\) | −1.06138 | + | 0.284395i | −0.0384244 | + | 0.0102958i | ||||
\(764\) | −4.88665 | − | 4.86826i | −0.176793 | − | 0.176128i | ||||
\(765\) | 38.5939 | + | 144.034i | 1.39536 | + | 5.20757i | ||||
\(766\) | 5.73255 | + | 0.749207i | 0.207125 | + | 0.0270700i | ||||
\(767\) | 20.9214i | 0.755427i | ||||||||
\(768\) | 13.8865 | + | 50.3044i | 0.501084 | + | 1.81520i | ||||
\(769\) | 20.7174 | + | 35.8836i | 0.747090 | + | 1.29400i | 0.949212 | + | 0.314637i | \(0.101883\pi\) |
−0.202123 | + | 0.979360i | \(0.564784\pi\) | |||||||
\(770\) | −2.17868 | − | 0.284740i | −0.0785142 | − | 0.0102613i | ||||
\(771\) | −55.0535 | − | 55.0535i | −1.98270 | − | 1.98270i | ||||
\(772\) | −1.29178 | + | 0.348742i | −0.0464920 | + | 0.0125515i | ||||
\(773\) | −5.91854 | − | 1.58587i | −0.212875 | − | 0.0570397i | 0.150805 | − | 0.988563i | \(-0.451813\pi\) |
−0.363680 | + | 0.931524i | \(0.618480\pi\) | |||||||
\(774\) | −28.0339 | + | 67.8607i | −1.00766 | + | 2.43920i | ||||
\(775\) | −10.4008 | + | 6.00492i | −0.373609 | + | 0.215703i | ||||
\(776\) | −11.2014 | − | 14.5127i | −0.402105 | − | 0.520977i | ||||
\(777\) | −11.5475 | − | 6.66698i | −0.414266 | − | 0.239176i | ||||
\(778\) | 18.2692 | − | 2.42271i | 0.654984 | − | 0.0868585i | ||||
\(779\) | 6.02372 | − | 24.4439i | 0.215822 | − | 0.875793i | ||||
\(780\) | −54.0580 | + | 94.0402i | −1.93559 | + | 3.36718i | ||||
\(781\) | −1.57264 | + | 0.421388i | −0.0562735 | + | 0.0150784i | ||||
\(782\) | −6.41239 | − | 15.4397i | −0.229307 | − | 0.552123i | ||||
\(783\) | −22.1627 | + | 12.7956i | −0.792029 | + | 0.457278i | ||||
\(784\) | 0.0362803 | + | 9.62148i | 0.00129572 | + | 0.343624i | ||||
\(785\) | −7.78323 | − | 13.4810i | −0.277795 | − | 0.481156i | ||||
\(786\) | 32.8339 | − | 42.8736i | 1.17115 | − | 1.52925i | ||||
\(787\) | −15.5452 | + | 15.5452i | −0.554126 | + | 0.554126i | −0.927629 | − | 0.373503i | \(-0.878157\pi\) |
0.373503 | + | 0.927629i | \(0.378157\pi\) | |||||||
\(788\) | 4.95415 | − | 0.00934044i | 0.176484 | − | 0.000332739i | ||||
\(789\) | −43.8649 | − | 11.7536i | −1.56163 | − | 0.418438i | ||||
\(790\) | 65.3863 | − | 8.67099i | 2.32634 | − | 0.308500i | ||||
\(791\) | − | 17.8247i | − | 0.633775i | ||||||
\(792\) | 2.59285 | − | 3.39893i | 0.0921329 | − | 0.120776i | ||||
\(793\) | −24.9097 | + | 43.1449i | −0.884570 | + | 1.53212i | ||||
\(794\) | 36.3222 | − | 27.9254i | 1.28903 | − | 0.991036i | ||||
\(795\) | −18.6709 | − | 69.6807i | −0.662188 | − | 2.47132i | ||||
\(796\) | −2.80089 | − | 0.744839i | −0.0992749 | − | 0.0264001i | ||||
\(797\) | −19.6570 | − | 19.6570i | −0.696286 | − | 0.696286i | 0.267321 | − | 0.963607i | \(-0.413862\pi\) |
−0.963607 | + | 0.267321i | \(0.913862\pi\) | |||||||
\(798\) | 25.5078 | − | 34.7379i | 0.902967 | − | 1.22971i | ||||
\(799\) | − | 15.5220i | − | 0.549129i | ||||||
\(800\) | −28.8075 | + | 37.9113i | −1.01850 | + | 1.34037i | ||||
\(801\) | 93.8185 | + | 54.1661i | 3.31491 | + | 1.91387i | ||||
\(802\) | 4.81702 | − | 36.8573i | 0.170095 | − | 1.30148i | ||||
\(803\) | 0.908212 | − | 0.243355i | 0.0320501 | − | 0.00858780i | ||||
\(804\) | −20.4338 | − | 20.3569i | −0.720645 | − | 0.717933i | ||||
\(805\) | 12.3144 | + | 12.3144i | 0.434026 | + | 0.434026i | ||||
\(806\) | 9.08074 | − | 1.20421i | 0.319855 | − | 0.0424165i | ||||
\(807\) | 11.0480 | + | 19.1356i | 0.388906 | + | 0.673606i | ||||
\(808\) | 17.8481 | − | 23.3968i | 0.627894 | − | 0.823096i | ||||
\(809\) | − | 13.1421i | − | 0.462050i | −0.972948 | − | 0.231025i | \(-0.925792\pi\) | ||
0.972948 | − | 0.231025i | \(-0.0742080\pi\) | |||||||
\(810\) | 135.708 | − | 17.9964i | 4.76828 | − | 0.632330i | ||||
\(811\) | −4.17959 | + | 15.5985i | −0.146765 | + | 0.547736i | 0.852905 | + | 0.522066i | \(0.174839\pi\) |
−0.999670 | + | 0.0256699i | \(0.991828\pi\) | |||||||
\(812\) | −3.63792 | − | 6.27372i | −0.127666 | − | 0.220165i | ||||
\(813\) | −19.0839 | + | 71.2222i | −0.669303 | + | 2.49787i | ||||
\(814\) | 0.492906 | − | 0.204713i | 0.0172764 | − | 0.00717519i | ||||
\(815\) | −58.4482 | − | 33.7451i | −2.04735 | − | 1.18204i | ||||
\(816\) | 17.7433 | − | 67.2321i | 0.621141 | − | 2.35359i | ||||
\(817\) | −15.3290 | − | 25.3547i | −0.536294 | − | 0.887049i | ||||
\(818\) | −5.57981 | + | 7.28596i | −0.195093 | + | 0.254748i | ||||
\(819\) | 19.2366 | + | 71.7918i | 0.672180 | + | 2.50861i | ||||
\(820\) | 21.2246 | + | 36.6026i | 0.741196 | + | 1.27822i | ||||
\(821\) | 10.1747 | − | 37.9726i | 0.355100 | − | 1.32525i | −0.525258 | − | 0.850943i | \(-0.676031\pi\) |
0.880358 | − | 0.474309i | \(-0.157302\pi\) | |||||||
\(822\) | 10.7578 | − | 26.0411i | 0.375223 | − | 0.908289i | ||||
\(823\) | −9.65950 | − | 16.7307i | −0.336709 | − | 0.583197i | 0.647103 | − | 0.762403i | \(-0.275980\pi\) |
−0.983812 | + | 0.179206i | \(0.942647\pi\) | |||||||
\(824\) | −0.347237 | + | 0.845055i | −0.0120966 | + | 0.0294389i | ||||
\(825\) | 5.43249 | 0.189135 | ||||||||
\(826\) | 8.51513 | + | 11.0755i | 0.296279 | + | 0.385366i | ||||
\(827\) | −4.71837 | + | 17.6092i | −0.164074 | + | 0.612332i | 0.834083 | + | 0.551640i | \(0.185998\pi\) |
−0.998157 | + | 0.0606925i | \(0.980669\pi\) | |||||||
\(828\) | −32.7127 | + | 8.83147i | −1.13684 | + | 0.306915i | ||||
\(829\) | 13.3559 | + | 13.3559i | 0.463869 | + | 0.463869i | 0.899921 | − | 0.436052i | \(-0.143624\pi\) |
−0.436052 | + | 0.899921i | \(0.643624\pi\) | |||||||
\(830\) | 2.10199 | − | 16.0834i | 0.0729612 | − | 0.558261i | ||||
\(831\) | 43.5503 | − | 75.4313i | 1.51074 | − | 2.61668i | ||||
\(832\) | 31.3481 | − | 18.3360i | 1.08680 | − | 0.635688i | ||||
\(833\) | 6.41001 | − | 11.1025i | 0.222094 | − | 0.384678i | ||||
\(834\) | −32.3770 | + | 13.4468i | −1.12112 | + | 0.465623i | ||||
\(835\) | −61.0891 | + | 61.0891i | −2.11408 | + | 2.11408i | ||||
\(836\) | 0.483144 | + | 1.65604i | 0.0167099 | + | 0.0572754i | ||||
\(837\) | −15.2629 | − | 15.2629i | −0.527561 | − | 0.527561i | ||||
\(838\) | −15.5476 | + | 37.6356i | −0.537083 | + | 1.30010i | ||||
\(839\) | −29.6645 | − | 17.1268i | −1.02413 | − | 0.591282i | −0.108833 | − | 0.994060i | \(-0.534711\pi\) |
−0.915298 | + | 0.402778i | \(0.868045\pi\) | |||||||
\(840\) | 9.65736 | + | 71.7856i | 0.333211 | + | 2.47684i | ||||
\(841\) | 22.6364 | + | 13.0691i | 0.780566 | + | 0.450660i | ||||
\(842\) | −29.4691 | + | 22.6566i | −1.01557 | + | 0.780798i | ||||
\(843\) | 50.0078 | − | 50.0078i | 1.72236 | − | 1.72236i | ||||
\(844\) | −18.2401 | − | 10.4851i | −0.627849 | − | 0.360912i | ||||
\(845\) | 26.9183 | + | 7.21273i | 0.926017 | + | 0.248125i | ||||
\(846\) | −31.1938 | − | 4.07683i | −1.07247 | − | 0.140164i | ||||
\(847\) | 23.4946i | 0.807285i | ||||||||
\(848\) | −6.16317 | + | 23.3531i | −0.211644 | + | 0.801950i | ||||
\(849\) | 15.4163 | − | 8.90058i | 0.529084 | − | 0.305467i | ||||
\(850\) | 58.5907 | − | 24.3338i | 2.00964 | − | 0.834642i | ||||
\(851\) | −4.08620 | − | 1.09489i | −0.140073 | − | 0.0375325i | ||||
\(852\) | 26.9235 | + | 46.4305i | 0.922384 | + | 1.59068i | ||||
\(853\) | 41.6756 | − | 11.1669i | 1.42694 | − | 0.382349i | 0.539003 | − | 0.842304i | \(-0.318801\pi\) |
0.887942 | + | 0.459955i | \(0.152135\pi\) | |||||||
\(854\) | 4.37337 | + | 32.9788i | 0.149654 | + | 1.12851i | ||||
\(855\) | −58.8329 | + | 106.824i | −2.01204 | + | 3.65330i | ||||
\(856\) | −12.3760 | − | 29.6409i | −0.423002 | − | 1.01310i | ||||
\(857\) | −5.35091 | + | 9.26805i | −0.182784 | + | 0.316591i | −0.942827 | − | 0.333281i | \(-0.891844\pi\) |
0.760044 | + | 0.649872i | \(0.225177\pi\) | |||||||
\(858\) | −3.82960 | − | 1.58204i | −0.130740 | − | 0.0540101i | ||||
\(859\) | 18.2709 | + | 4.89569i | 0.623397 | + | 0.167039i | 0.556671 | − | 0.830733i | \(-0.312078\pi\) |
0.0667253 | + | 0.997771i | \(0.478745\pi\) | |||||||
\(860\) | 48.1230 | + | 12.7973i | 1.64098 | + | 0.436385i | ||||
\(861\) | 39.0029 | + | 10.4508i | 1.32921 | + | 0.356162i | ||||
\(862\) | 19.6520 | − | 25.6610i | 0.669350 | − | 0.874019i | ||||
\(863\) | 6.68720 | 0.227635 | 0.113818 | − | 0.993502i | \(-0.463692\pi\) | ||||
0.113818 | + | 0.993502i | \(0.463692\pi\) | |||||||
\(864\) | −79.2155 | − | 32.3755i | −2.69497 | − | 1.10144i | ||||
\(865\) | 32.1593 | − | 18.5672i | 1.09345 | − | 0.631304i | ||||
\(866\) | 38.2296 | + | 29.2774i | 1.29909 | + | 0.994885i | ||||
\(867\) | −26.3055 | + | 26.3055i | −0.893382 | + | 0.893382i | ||||
\(868\) | 4.31710 | − | 4.33341i | 0.146532 | − | 0.147086i | ||||
\(869\) | 0.652118 | + | 2.43374i | 0.0221216 | + | 0.0825589i | ||||
\(870\) | 17.4210 | + | 22.6592i | 0.590626 | + | 0.768218i | ||||
\(871\) | −10.0363 | + | 17.3833i | −0.340066 | + | 0.589012i | ||||
\(872\) | −1.43805 | − | 0.185187i | −0.0486986 | − | 0.00627124i | ||||
\(873\) | 49.5075 | 1.67557 | ||||||||
\(874\) | 4.96445 | − | 12.7400i | 0.167925 | − | 0.430936i | ||||
\(875\) | −18.9714 | + | 18.9714i | −0.641352 | + | 0.641352i | ||||
\(876\) | −15.5485 | − | 26.8140i | −0.525336 | − | 0.905960i | ||||
\(877\) | −0.384214 | + | 0.102950i | −0.0129740 | + | 0.00347637i | −0.265300 | − | 0.964166i | \(-0.585471\pi\) |
0.252326 | + | 0.967642i | \(0.418804\pi\) | |||||||
\(878\) | 4.08767 | − | 31.2768i | 0.137952 | − | 1.05554i | ||||
\(879\) | 20.0900 | + | 11.5989i | 0.677618 | + | 0.391223i | ||||
\(880\) | −2.51631 | − | 1.44017i | −0.0848248 | − | 0.0485481i | ||||
\(881\) | −11.4634 | −0.386212 | −0.193106 | − | 0.981178i | \(-0.561856\pi\) | ||||
−0.193106 | + | 0.981178i | \(0.561856\pi\) | |||||||
\(882\) | −20.6285 | − | 15.7980i | −0.694599 | − | 0.531945i | ||||
\(883\) | −9.13331 | + | 34.0860i | −0.307360 | + | 1.14708i | 0.623534 | + | 0.781796i | \(0.285696\pi\) |
−0.930894 | + | 0.365288i | \(0.880970\pi\) | |||||||
\(884\) | −48.3896 | + | 0.0912325i | −1.62752 | + | 0.00306848i | ||||
\(885\) | −38.9331 | − | 38.9331i | −1.30872 | − | 1.30872i | ||||
\(886\) | −1.49478 | − | 11.2718i | −0.0502180 | − | 0.378685i | ||||
\(887\) | −8.46496 | + | 4.88725i | −0.284225 | + | 0.164098i | −0.635335 | − | 0.772237i | \(-0.719138\pi\) |
0.351109 | + | 0.936334i | \(0.385805\pi\) | |||||||
\(888\) | −10.7503 | − | 13.9284i | −0.360758 | − | 0.467406i | ||||
\(889\) | −1.19677 | − | 2.07287i | −0.0401385 | − | 0.0695220i | ||||
\(890\) | 28.0520 | − | 67.9046i | 0.940307 | − | 2.27617i | ||||
\(891\) | 1.35346 | + | 5.05116i | 0.0453425 | + | 0.169220i | ||||
\(892\) | 0.960582 | + | 3.55809i | 0.0321627 | + | 0.119134i | ||||
\(893\) | 8.79348 | − | 9.15579i | 0.294262 | − | 0.306387i | ||||
\(894\) | −16.8688 | + | 22.0268i | −0.564176 | + | 0.736686i | ||||
\(895\) | 10.1836 | − | 17.6385i | 0.340400 | − | 0.589590i | ||||
\(896\) | 9.13241 | − | 22.4657i | 0.305092 | − | 0.750528i | ||||
\(897\) | 16.4209 | + | 28.4418i | 0.548276 | + | 0.949643i | ||||
\(898\) | 38.9126 | − | 16.1611i | 1.29853 | − | 0.539303i | ||||
\(899\) | 0.624717 | − | 2.33148i | 0.0208355 | − | 0.0777591i | ||||
\(900\) | −33.5137 | − | 124.138i | −1.11712 | − | 4.13794i | ||||
\(901\) | 22.7560 | − | 22.7560i | 0.758111 | − | 0.758111i | ||||
\(902\) | −1.28134 | + | 0.985128i | −0.0426640 | + | 0.0328012i | ||||
\(903\) | 41.1546 | − | 23.7606i | 1.36954 | − | 0.790705i | ||||
\(904\) | 8.93935 | − | 21.7553i | 0.297318 | − | 0.723571i | ||||
\(905\) | 85.6350 | 2.84661 | ||||||||
\(906\) | −20.2594 | − | 26.3511i | −0.673073 | − | 0.875456i | ||||
\(907\) | −10.5242 | + | 2.81996i | −0.349452 | + | 0.0936353i | −0.429275 | − | 0.903174i | \(-0.641231\pi\) |
0.0798237 | + | 0.996809i | \(0.474564\pi\) | |||||||
\(908\) | 0.110001 | + | 58.3445i | 0.00365052 | + | 1.93623i | ||||
\(909\) | 20.5679 | + | 76.7603i | 0.682193 | + | 2.54598i | ||||
\(910\) | 46.5515 | − | 19.3337i | 1.54317 | − | 0.640905i | ||||
\(911\) | −9.22156 | −0.305524 | −0.152762 | − | 0.988263i | \(-0.548817\pi\) | ||||
−0.152762 | + | 0.988263i | \(0.548817\pi\) | |||||||
\(912\) | 48.5542 | − | 29.6056i | 1.60779 | − | 0.980338i | ||||
\(913\) | 0.619601 | 0.0205058 | ||||||||
\(914\) | −36.2934 | + | 15.0733i | −1.20048 | + | 0.498580i | ||||
\(915\) | −33.9343 | − | 126.645i | −1.12183 | − | 4.18674i | ||||
\(916\) | −7.44921 | + | 0.0140445i | −0.246129 | + | 0.000464045i | ||||
\(917\) | −24.2398 | + | 6.49504i | −0.800469 | + | 0.214485i | ||||
\(918\) | 69.4987 | + | 90.3959i | 2.29380 | + | 2.98351i | ||||
\(919\) | −27.0323 | −0.891714 | −0.445857 | − | 0.895104i | \(-0.647101\pi\) | ||||
−0.445857 | + | 0.895104i | \(0.647101\pi\) | |||||||
\(920\) | 8.85405 | + | 21.2057i | 0.291909 | + | 0.699133i | ||||
\(921\) | 66.9639 | − | 38.6616i | 2.20654 | − | 1.27394i | ||||
\(922\) | −45.2372 | + | 34.7795i | −1.48981 | + | 1.14540i | ||||
\(923\) | 26.4111 | − | 26.4111i | 0.869333 | − | 0.869333i | ||||
\(924\) | −2.67124 | + | 0.721158i | −0.0878774 | + | 0.0237244i | ||||
\(925\) | 4.15491 | − | 15.5063i | 0.136613 | − | 0.509845i | ||||
\(926\) | −11.6684 | + | 4.84610i | −0.383447 | + | 0.159253i | ||||
\(927\) | −1.23360 | − | 2.13667i | −0.0405169 | − | 0.0701773i | ||||
\(928\) | −1.29377 | − | 9.48163i | −0.0424702 | − | 0.311250i | ||||
\(929\) | −10.7154 | + | 18.5596i | −0.351561 | + | 0.608922i | −0.986523 | − | 0.163622i | \(-0.947682\pi\) |
0.634962 | + | 0.772543i | \(0.281016\pi\) | |||||||
\(930\) | −14.6576 | + | 19.1395i | −0.480643 | + | 0.627610i | ||||
\(931\) | 10.0707 | − | 2.91751i | 0.330055 | − | 0.0956176i | ||||
\(932\) | 50.3561 | − | 13.5947i | 1.64947 | − | 0.445309i | ||||
\(933\) | 10.0026 | + | 37.3302i | 0.327470 | + | 1.22213i | ||||
\(934\) | 19.3362 | − | 46.8065i | 0.632701 | − | 1.53156i | ||||
\(935\) | 1.93155 | + | 3.34554i | 0.0631685 | + | 0.109411i | ||||
\(936\) | −12.5261 | + | 97.2702i | −0.409429 | + | 3.17938i | ||||
\(937\) | −44.5486 | + | 25.7202i | −1.45534 | + | 0.840241i | −0.998777 | − | 0.0494501i | \(-0.984253\pi\) |
−0.456563 | + | 0.889691i | \(0.650920\pi\) | |||||||
\(938\) | 1.76206 | + | 13.2873i | 0.0575332 | + | 0.433847i | ||||
\(939\) | 31.5768 | + | 31.5768i | 1.03047 | + | 1.03047i | ||||
\(940\) | 0.0402254 | + | 21.3355i | 0.00131201 | + | 0.695887i | ||||
\(941\) | −1.29916 | + | 4.84855i | −0.0423515 | + | 0.158058i | −0.983863 | − | 0.178922i | \(-0.942739\pi\) |
0.941512 | + | 0.336980i | \(0.109406\pi\) | |||||||
\(942\) | −15.5628 | − | 11.9185i | −0.507064 | − | 0.388325i | ||||
\(943\) | 12.8106 | 0.417171 | ||||||||
\(944\) | 4.83831 | + | 17.7883i | 0.157474 | + | 0.578958i | ||||
\(945\) | −102.864 | − | 59.3884i | −3.34616 | − | 1.93191i | ||||
\(946\) | −0.246504 | + | 1.88612i | −0.00801455 | + | 0.0613232i | ||||
\(947\) | 35.6782 | − | 9.55994i | 1.15938 | − | 0.310656i | 0.372665 | − | 0.927966i | \(-0.378444\pi\) |
0.786720 | + | 0.617310i | \(0.211778\pi\) | |||||||
\(948\) | 71.8535 | − | 41.6654i | 2.33369 | − | 1.35323i | ||||
\(949\) | −15.2526 | + | 15.2526i | −0.495121 | + | 0.495121i | ||||
\(950\) | 48.3458 | + | 18.8391i | 1.56854 | + | 0.611221i | ||||
\(951\) | 93.3394 | 3.02674 | ||||||||
\(952\) | −25.5797 | + | 19.7432i | −0.829042 | + | 0.639880i | ||||
\(953\) | 28.0503 | − | 48.5846i | 0.908639 | − | 1.57381i | 0.0926835 | − | 0.995696i | \(-0.470456\pi\) |
0.815956 | − | 0.578114i | \(-0.196211\pi\) | |||||||
\(954\) | −39.7548 | − | 51.7084i | −1.28711 | − | 1.67412i | ||||
\(955\) | −3.26968 | − | 12.2026i | −0.105804 | − | 0.394867i | ||||
\(956\) | 34.7956 | + | 34.6647i | 1.12537 | + | 1.12114i | ||||
\(957\) | −0.772030 | + | 0.772030i | −0.0249562 | + | 0.0249562i | ||||
\(958\) | 10.6856 | + | 8.18334i | 0.345236 | + | 0.264392i | ||||
\(959\) | −11.3392 | + | 6.54669i | −0.366162 | + | 0.211404i | ||||
\(960\) | −24.2145 | + | 92.4586i | −0.781521 | + | 2.98409i | ||||
\(961\) | −28.9641 | −0.934327 | ||||||||
\(962\) | −7.44471 | + | 9.72110i | −0.240027 | + | 0.313421i | ||||
\(963\) | 83.7864 | + | 22.4505i | 2.69998 | + | 0.723457i | ||||
\(964\) | −0.480423 | + | 1.80658i | −0.0154734 | + | 0.0581860i | ||||
\(965\) | −2.36705 | − | 0.634249i | −0.0761980 | − | 0.0204172i | ||||
\(966\) | 20.2690 | + | 8.37330i | 0.652143 | + | 0.269407i | ||||
\(967\) | 8.42961 | − | 14.6005i | 0.271078 | − | 0.469521i | −0.698060 | − | 0.716039i | \(-0.745953\pi\) |
0.969138 | + | 0.246518i | \(0.0792865\pi\) | |||||||
\(968\) | −11.7829 | + | 28.6755i | −0.378716 | + | 0.921666i | ||||
\(969\) | −75.7575 | + | 1.52921i | −2.43368 | + | 0.0491254i | ||||
\(970\) | −4.41391 | − | 33.2845i | −0.141722 | − | 1.06870i | ||||
\(971\) | 25.0293 | − | 6.70658i | 0.803228 | − | 0.215224i | 0.166227 | − | 0.986087i | \(-0.446841\pi\) |
0.637001 | + | 0.770863i | \(0.280175\pi\) | |||||||
\(972\) | 70.6091 | − | 40.9439i | 2.26479 | − | 1.31328i | ||||
\(973\) | 15.7366 | + | 4.21661i | 0.504493 | + | 0.135178i | ||||
\(974\) | −36.8531 | + | 15.3058i | −1.18085 | + | 0.490429i | ||||
\(975\) | −107.931 | + | 62.3140i | −3.45656 | + | 1.99564i | ||||
\(976\) | −11.2016 | + | 42.4443i | −0.358553 | + | 1.35861i | ||||
\(977\) | 18.2558i | 0.584056i | 0.956410 | + | 0.292028i | \(0.0943300\pi\) | ||||
−0.956410 | + | 0.292028i | \(0.905670\pi\) | |||||||
\(978\) | −84.2716 | − | 11.0138i | −2.69471 | − | 0.352181i | ||||
\(979\) | 2.71091 | + | 0.726387i | 0.0866412 | + | 0.0232154i | ||||
\(980\) | −8.78200 | + | 15.2773i | −0.280531 | + | 0.488016i | ||||
\(981\) | 2.76869 | − | 2.76869i | 0.0883975 | − | 0.0883975i | ||||
\(982\) | −5.37421 | + | 4.13183i | −0.171498 | + | 0.131852i | ||||
\(983\) | −40.0986 | − | 23.1510i | −1.27895 | − | 0.738401i | −0.302293 | − | 0.953215i | \(-0.597752\pi\) |
−0.976655 | + | 0.214814i | \(0.931085\pi\) | |||||||
\(984\) | 42.3623 | + | 32.3158i | 1.35046 | + | 1.03019i | ||||
\(985\) | 7.85779 | + | 4.53670i | 0.250370 | + | 0.144551i | ||||
\(986\) | −4.86836 | + | 11.7847i | −0.155040 | + | 0.375301i | ||||
\(987\) | 14.3975 | + | 14.3975i | 0.458276 | + | 0.458276i | ||||
\(988\) | −28.5947 | − | 27.3597i | −0.909719 | − | 0.870428i | ||||
\(989\) | 10.6608 | − | 10.6608i | 0.338994 | − | 0.338994i | ||||
\(990\) | 7.23070 | − | 3.00304i | 0.229807 | − | 0.0954430i | ||||
\(991\) | −16.7390 | + | 28.9929i | −0.531733 | + | 0.920989i | 0.467581 | + | 0.883950i | \(0.345126\pi\) |
−0.999314 | + | 0.0370385i | \(0.988208\pi\) | |||||||
\(992\) | 7.44235 | − | 3.12390i | 0.236295 | − | 0.0991839i | ||||
\(993\) | −24.4026 | + | 42.2665i | −0.774393 | + | 1.34129i | ||||
\(994\) | 3.23221 | − | 24.7312i | 0.102520 | − | 0.784426i | ||||
\(995\) | −3.75334 | − | 3.75334i | −0.118989 | − | 0.118989i | ||||
\(996\) | −5.32369 | − | 19.7195i | −0.168688 | − | 0.624836i | ||||
\(997\) | −9.40762 | + | 35.1097i | −0.297942 | + | 1.11194i | 0.640910 | + | 0.767616i | \(0.278557\pi\) |
−0.938852 | + | 0.344320i | \(0.888110\pi\) | |||||||
\(998\) | 9.10749 | + | 11.8460i | 0.288293 | + | 0.374978i | ||||
\(999\) | 28.8522 | 0.912843 |
(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 | 304.2.x.c.27.14 | ✓ | 144 | |
16.3 | odd | 4 | inner | 304.2.x.c.179.2 | yes | 144 | |
19.12 | odd | 6 | inner | 304.2.x.c.107.2 | yes | 144 | |
304.259 | even | 12 | inner | 304.2.x.c.259.14 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.x.c.27.14 | ✓ | 144 | 1.1 | even | 1 | trivial | |
304.2.x.c.107.2 | yes | 144 | 19.12 | odd | 6 | inner | |
304.2.x.c.179.2 | yes | 144 | 16.3 | odd | 4 | inner | |
304.2.x.c.259.14 | yes | 144 | 304.259 | even | 12 | inner |