Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(374,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.d (of order \(5\), degree \(4\), not 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: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 19x^{14} + 140x^{12} + 511x^{10} + 979x^{8} + 956x^{6} + 410x^{4} + 44x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 388.3 | ||
Root | \(2.52368i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.388 |
Dual form | 961.2.d.n.374.3 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.284315 | + | 0.206567i | −0.201041 | + | 0.146065i | −0.683751 | − | 0.729715i | \(-0.739653\pi\) |
0.482710 | + | 0.875780i | \(0.339653\pi\) | |||||||
\(3\) | −2.34072 | − | 1.70063i | −1.35142 | − | 0.981862i | −0.998940 | − | 0.0460413i | \(-0.985339\pi\) |
−0.352477 | − | 0.935820i | \(-0.614661\pi\) | |||||||
\(4\) | −0.579869 | + | 1.78465i | −0.289934 | + | 0.892327i | ||||
\(5\) | 2.97323 | 1.32967 | 0.664834 | − | 0.746991i | \(-0.268502\pi\) | ||||
0.664834 | + | 0.746991i | \(0.268502\pi\) | |||||||
\(6\) | 1.01680 | 0.415106 | ||||||||
\(7\) | −0.334395 | + | 1.02916i | −0.126390 | + | 0.388987i | −0.994152 | − | 0.107993i | \(-0.965558\pi\) |
0.867762 | + | 0.496980i | \(0.165558\pi\) | |||||||
\(8\) | −0.420982 | − | 1.29565i | −0.148840 | − | 0.458081i | ||||
\(9\) | 1.65977 | + | 5.10826i | 0.553258 | + | 1.70275i | ||||
\(10\) | −0.845333 | + | 0.614171i | −0.267318 | + | 0.194218i | ||||
\(11\) | 0.751335 | − | 2.31237i | 0.226536 | − | 0.697206i | −0.771596 | − | 0.636113i | \(-0.780541\pi\) |
0.998132 | − | 0.0610932i | \(-0.0194587\pi\) | |||||||
\(12\) | 4.39235 | − | 3.19123i | 1.26796 | − | 0.921229i | ||||
\(13\) | 2.32483 | + | 1.68909i | 0.644793 | + | 0.468469i | 0.861493 | − | 0.507769i | \(-0.169530\pi\) |
−0.216701 | + | 0.976238i | \(0.569530\pi\) | |||||||
\(14\) | −0.117517 | − | 0.361681i | −0.0314078 | − | 0.0966634i | ||||
\(15\) | −6.95951 | − | 5.05638i | −1.79694 | − | 1.30555i | ||||
\(16\) | −2.64890 | − | 1.92454i | −0.662226 | − | 0.481135i | ||||
\(17\) | 0.563883 | + | 1.73545i | 0.136762 | + | 0.420910i | 0.995860 | − | 0.0909014i | \(-0.0289748\pi\) |
−0.859098 | + | 0.511811i | \(0.828975\pi\) | |||||||
\(18\) | −1.52709 | − | 1.10950i | −0.359940 | − | 0.261511i | ||||
\(19\) | −1.71372 | + | 1.24509i | −0.393154 | + | 0.285643i | −0.766747 | − | 0.641950i | \(-0.778126\pi\) |
0.373593 | + | 0.927593i | \(0.378126\pi\) | |||||||
\(20\) | −1.72408 | + | 5.30618i | −0.385517 | + | 1.18650i | ||||
\(21\) | 2.53296 | − | 1.84030i | 0.552736 | − | 0.401586i | ||||
\(22\) | 0.264043 | + | 0.812642i | 0.0562942 | + | 0.173256i | ||||
\(23\) | 0.136652 | + | 0.420572i | 0.0284939 | + | 0.0876953i | 0.964292 | − | 0.264841i | \(-0.0853194\pi\) |
−0.935798 | + | 0.352536i | \(0.885319\pi\) | |||||||
\(24\) | −1.21802 | + | 3.74869i | −0.248628 | + | 0.765198i | ||||
\(25\) | 3.84010 | 0.768019 | ||||||||
\(26\) | −1.00989 | −0.198057 | ||||||||
\(27\) | 2.11998 | − | 6.52462i | 0.407990 | − | 1.25566i | ||||
\(28\) | −1.64279 | − | 1.19356i | −0.310459 | − | 0.225561i | ||||
\(29\) | −2.55579 | + | 1.85689i | −0.474599 | + | 0.344816i | −0.799231 | − | 0.601024i | \(-0.794760\pi\) |
0.324632 | + | 0.945840i | \(0.394760\pi\) | |||||||
\(30\) | 3.02317 | 0.551953 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | 3.87532 | 0.685067 | ||||||||
\(33\) | −5.69116 | + | 4.13487i | −0.990704 | + | 0.719789i | ||||
\(34\) | −0.518808 | − | 0.376936i | −0.0889748 | − | 0.0646440i | ||||
\(35\) | −0.994234 | + | 3.05994i | −0.168056 | + | 0.517224i | ||||
\(36\) | −10.0789 | −1.67982 | ||||||||
\(37\) | −3.14675 | −0.517323 | −0.258661 | − | 0.965968i | \(-0.583281\pi\) | ||||
−0.258661 | + | 0.965968i | \(0.583281\pi\) | |||||||
\(38\) | 0.230042 | − | 0.707995i | 0.0373177 | − | 0.114852i | ||||
\(39\) | −2.56926 | − | 7.90738i | −0.411412 | − | 1.26619i | ||||
\(40\) | −1.25168 | − | 3.85226i | −0.197907 | − | 0.609096i | ||||
\(41\) | 5.61962 | − | 4.08290i | 0.877638 | − | 0.637641i | −0.0549877 | − | 0.998487i | \(-0.517512\pi\) |
0.932625 | + | 0.360846i | \(0.117512\pi\) | |||||||
\(42\) | −0.340012 | + | 1.04645i | −0.0524650 | + | 0.161471i | ||||
\(43\) | −6.80576 | + | 4.94467i | −1.03787 | + | 0.754055i | −0.969868 | − | 0.243630i | \(-0.921662\pi\) |
−0.0680000 | + | 0.997685i | \(0.521662\pi\) | |||||||
\(44\) | 3.69110 | + | 2.68174i | 0.556455 | + | 0.404288i | ||||
\(45\) | 4.93489 | + | 15.1880i | 0.735649 | + | 2.26410i | ||||
\(46\) | −0.125728 | − | 0.0913471i | −0.0185377 | − | 0.0134684i | ||||
\(47\) | 6.44144 | + | 4.67998i | 0.939580 | + | 0.682645i | 0.948320 | − | 0.317317i | \(-0.102782\pi\) |
−0.00873953 | + | 0.999962i | \(0.502782\pi\) | |||||||
\(48\) | 2.92741 | + | 9.00963i | 0.422535 | + | 1.30043i | ||||
\(49\) | 4.71576 | + | 3.42620i | 0.673680 | + | 0.489457i | ||||
\(50\) | −1.09180 | + | 0.793236i | −0.154403 | + | 0.112181i | ||||
\(51\) | 1.63148 | − | 5.02118i | 0.228453 | − | 0.703105i | ||||
\(52\) | −4.36254 | + | 3.16957i | −0.604975 | + | 0.439540i | ||||
\(53\) | 1.53798 | + | 4.73341i | 0.211257 | + | 0.650183i | 0.999398 | + | 0.0346884i | \(0.0110439\pi\) |
−0.788141 | + | 0.615495i | \(0.788956\pi\) | |||||||
\(54\) | 0.745029 | + | 2.29296i | 0.101386 | + | 0.312033i | ||||
\(55\) | 2.23389 | − | 6.87521i | 0.301218 | − | 0.927053i | ||||
\(56\) | 1.47421 | 0.196999 | ||||||||
\(57\) | 6.12878 | 0.811777 | ||||||||
\(58\) | 0.343078 | − | 1.05588i | 0.0450483 | − | 0.138644i | ||||
\(59\) | 9.71948 | + | 7.06161i | 1.26537 | + | 0.919344i | 0.999008 | − | 0.0445297i | \(-0.0141789\pi\) |
0.266360 | + | 0.963874i | \(0.414179\pi\) | |||||||
\(60\) | 13.0595 | − | 9.48827i | 1.68597 | − | 1.22493i | ||||
\(61\) | 14.4351 | 1.84823 | 0.924115 | − | 0.382115i | \(-0.124804\pi\) | ||||
0.924115 | + | 0.382115i | \(0.124804\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.81225 | −0.732274 | ||||||||
\(64\) | 4.19600 | − | 3.04857i | 0.524499 | − | 0.381071i | ||||
\(65\) | 6.91226 | + | 5.02205i | 0.857361 | + | 0.622909i | ||||
\(66\) | 0.763955 | − | 2.35121i | 0.0940363 | − | 0.289414i | ||||
\(67\) | −6.43759 | −0.786476 | −0.393238 | − | 0.919437i | \(-0.628645\pi\) | ||||
−0.393238 | + | 0.919437i | \(0.628645\pi\) | |||||||
\(68\) | −3.42416 | −0.415241 | ||||||||
\(69\) | 0.395375 | − | 1.21684i | 0.0475975 | − | 0.146490i | ||||
\(70\) | −0.349406 | − | 1.07536i | −0.0417620 | − | 0.128530i | ||||
\(71\) | 0.518492 | + | 1.59575i | 0.0615337 | + | 0.189381i | 0.977098 | − | 0.212791i | \(-0.0682553\pi\) |
−0.915564 | + | 0.402172i | \(0.868255\pi\) | |||||||
\(72\) | 5.91977 | − | 4.30097i | 0.697652 | − | 0.506874i | ||||
\(73\) | −4.43754 | + | 13.6573i | −0.519374 | + | 1.59847i | 0.255805 | + | 0.966728i | \(0.417659\pi\) |
−0.775179 | + | 0.631741i | \(0.782341\pi\) | |||||||
\(74\) | 0.894668 | − | 0.650014i | 0.104003 | − | 0.0755626i | ||||
\(75\) | −8.98860 | − | 6.53060i | −1.03791 | − | 0.754089i | ||||
\(76\) | −1.22832 | − | 3.78038i | −0.140898 | − | 0.433640i | ||||
\(77\) | 2.12856 | + | 1.54649i | 0.242572 | + | 0.176239i | ||||
\(78\) | 2.36388 | + | 1.71746i | 0.267657 | + | 0.194464i | ||||
\(79\) | 1.06538 | + | 3.27890i | 0.119865 | + | 0.368906i | 0.992931 | − | 0.118697i | \(-0.0378716\pi\) |
−0.873066 | + | 0.487602i | \(0.837872\pi\) | |||||||
\(80\) | −7.87580 | − | 5.72210i | −0.880541 | − | 0.639751i | ||||
\(81\) | −3.02226 | + | 2.19580i | −0.335806 | + | 0.243977i | ||||
\(82\) | −0.754352 | + | 2.32166i | −0.0833042 | + | 0.256384i | ||||
\(83\) | 10.3988 | − | 7.55516i | 1.14142 | − | 0.829287i | 0.154100 | − | 0.988055i | \(-0.450752\pi\) |
0.987316 | + | 0.158768i | \(0.0507523\pi\) | |||||||
\(84\) | 1.81552 | + | 5.58758i | 0.198089 | + | 0.609655i | ||||
\(85\) | 1.67655 | + | 5.15991i | 0.181848 | + | 0.559670i | ||||
\(86\) | 0.913573 | − | 2.81169i | 0.0985131 | − | 0.303192i | ||||
\(87\) | 9.14030 | 0.979943 | ||||||||
\(88\) | −3.31232 | −0.353094 | ||||||||
\(89\) | −0.698188 | + | 2.14880i | −0.0740078 | + | 0.227773i | −0.981217 | − | 0.192907i | \(-0.938208\pi\) |
0.907209 | + | 0.420680i | \(0.138208\pi\) | |||||||
\(90\) | −4.54040 | − | 3.29880i | −0.478600 | − | 0.347724i | ||||
\(91\) | −2.51576 | + | 1.82781i | −0.263724 | + | 0.191606i | ||||
\(92\) | −0.829816 | −0.0865143 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.79812 | −0.288604 | ||||||||
\(95\) | −5.09528 | + | 3.70194i | −0.522765 | + | 0.379811i | ||||
\(96\) | −9.07105 | − | 6.59050i | −0.925810 | − | 0.672641i | ||||
\(97\) | 1.05463 | − | 3.24582i | 0.107082 | − | 0.329563i | −0.883132 | − | 0.469125i | \(-0.844569\pi\) |
0.990213 | + | 0.139562i | \(0.0445693\pi\) | |||||||
\(98\) | −2.04850 | −0.206930 | ||||||||
\(99\) | 13.0592 | 1.31250 | ||||||||
\(100\) | −2.22675 | + | 6.85324i | −0.222675 | + | 0.685324i | ||||
\(101\) | 5.47495 | + | 16.8502i | 0.544778 | + | 1.67665i | 0.721518 | + | 0.692395i | \(0.243445\pi\) |
−0.176741 | + | 0.984257i | \(0.556555\pi\) | |||||||
\(102\) | 0.573355 | + | 1.76460i | 0.0567706 | + | 0.174722i | ||||
\(103\) | −6.53188 | + | 4.74569i | −0.643605 | + | 0.467607i | −0.861087 | − | 0.508458i | \(-0.830216\pi\) |
0.217482 | + | 0.976064i | \(0.430216\pi\) | |||||||
\(104\) | 1.20976 | − | 3.72325i | 0.118626 | − | 0.365094i | ||||
\(105\) | 7.53106 | − | 5.47164i | 0.734956 | − | 0.533977i | ||||
\(106\) | −1.41503 | − | 1.02808i | −0.137440 | − | 0.0998562i | ||||
\(107\) | −3.75493 | − | 11.5565i | −0.363002 | − | 1.11721i | −0.951223 | − | 0.308506i | \(-0.900171\pi\) |
0.588220 | − | 0.808701i | \(-0.299829\pi\) | |||||||
\(108\) | 10.4149 | + | 7.56685i | 1.00217 | + | 0.728121i | ||||
\(109\) | 0.511381 | + | 0.371540i | 0.0489815 | + | 0.0355871i | 0.612007 | − | 0.790853i | \(-0.290363\pi\) |
−0.563025 | + | 0.826440i | \(0.690363\pi\) | |||||||
\(110\) | 0.785062 | + | 2.41617i | 0.0748527 | + | 0.230373i | ||||
\(111\) | 7.36567 | + | 5.35147i | 0.699119 | + | 0.507939i | ||||
\(112\) | 2.86645 | − | 2.08260i | 0.270854 | − | 0.196787i | ||||
\(113\) | −3.49200 | + | 10.7473i | −0.328500 | + | 1.01102i | 0.641337 | + | 0.767260i | \(0.278380\pi\) |
−0.969836 | + | 0.243758i | \(0.921620\pi\) | |||||||
\(114\) | −1.74250 | + | 1.26600i | −0.163200 | + | 0.118572i | ||||
\(115\) | 0.406298 | + | 1.25046i | 0.0378875 | + | 0.116606i | ||||
\(116\) | −1.83188 | − | 5.63796i | −0.170086 | − | 0.523472i | ||||
\(117\) | −4.76961 | + | 14.6794i | −0.440951 | + | 1.35711i | ||||
\(118\) | −4.22209 | −0.388675 | ||||||||
\(119\) | −1.97463 | −0.181014 | ||||||||
\(120\) | −3.62146 | + | 11.1457i | −0.330593 | + | 1.01746i | ||||
\(121\) | 4.11663 | + | 2.99091i | 0.374239 | + | 0.271901i | ||||
\(122\) | −4.10412 | + | 2.98182i | −0.371570 | + | 0.269961i | ||||
\(123\) | −20.0975 | −1.81213 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −3.44866 | −0.308458 | ||||||||
\(126\) | 1.65251 | − | 1.20062i | 0.147217 | − | 0.106960i | ||||
\(127\) | 0.0953072 | + | 0.0692447i | 0.00845715 | + | 0.00614448i | 0.592006 | − | 0.805934i | \(-0.298336\pi\) |
−0.583549 | + | 0.812078i | \(0.698336\pi\) | |||||||
\(128\) | −2.95833 | + | 9.10481i | −0.261482 | + | 0.804759i | ||||
\(129\) | 24.3395 | 2.14297 | ||||||||
\(130\) | −3.00265 | −0.263350 | ||||||||
\(131\) | 1.78734 | − | 5.50087i | 0.156161 | − | 0.480613i | −0.842116 | − | 0.539296i | \(-0.818690\pi\) |
0.998277 | + | 0.0586835i | \(0.0186903\pi\) | |||||||
\(132\) | −4.07918 | − | 12.5544i | −0.355047 | − | 1.09272i | ||||
\(133\) | −0.708341 | − | 2.18005i | −0.0614209 | − | 0.189034i | ||||
\(134\) | 1.83030 | − | 1.32979i | 0.158114 | − | 0.114877i | ||||
\(135\) | 6.30318 | − | 19.3992i | 0.542492 | − | 1.66962i | ||||
\(136\) | 2.01116 | − | 1.46119i | 0.172455 | − | 0.125296i | ||||
\(137\) | 9.55079 | + | 6.93905i | 0.815979 | + | 0.592843i | 0.915558 | − | 0.402186i | \(-0.131750\pi\) |
−0.0995790 | + | 0.995030i | \(0.531750\pi\) | |||||||
\(138\) | 0.138947 | + | 0.427636i | 0.0118280 | + | 0.0364028i | ||||
\(139\) | −12.4767 | − | 9.06482i | −1.05826 | − | 0.768868i | −0.0844915 | − | 0.996424i | \(-0.526927\pi\) |
−0.973765 | + | 0.227556i | \(0.926927\pi\) | |||||||
\(140\) | −4.88440 | − | 3.54873i | −0.412807 | − | 0.299922i | ||||
\(141\) | −7.11868 | − | 21.9091i | −0.599501 | − | 1.84508i | ||||
\(142\) | −0.477045 | − | 0.346593i | −0.0400327 | − | 0.0290855i | ||||
\(143\) | 5.65253 | − | 4.10680i | 0.472688 | − | 0.343428i | ||||
\(144\) | 5.43447 | − | 16.7256i | 0.452872 | − | 1.39380i | ||||
\(145\) | −7.59896 | + | 5.52097i | −0.631060 | + | 0.458492i | ||||
\(146\) | −1.55949 | − | 4.79963i | −0.129065 | − | 0.397220i | ||||
\(147\) | −5.21157 | − | 16.0396i | −0.429843 | − | 1.32292i | ||||
\(148\) | 1.82470 | − | 5.61586i | 0.149990 | − | 0.461621i | ||||
\(149\) | −11.9502 | −0.979001 | −0.489500 | − | 0.872003i | \(-0.662821\pi\) | ||||
−0.489500 | + | 0.872003i | \(0.662821\pi\) | |||||||
\(150\) | 3.90460 | 0.318809 | ||||||||
\(151\) | 1.33561 | − | 4.11059i | 0.108691 | − | 0.334515i | −0.881888 | − | 0.471458i | \(-0.843728\pi\) |
0.990579 | + | 0.136943i | \(0.0437278\pi\) | |||||||
\(152\) | 2.33465 | + | 1.69622i | 0.189365 | + | 0.137582i | ||||
\(153\) | −7.92923 | + | 5.76092i | −0.641040 | + | 0.465743i | ||||
\(154\) | −0.924636 | −0.0745093 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 15.6018 | 1.24914 | ||||||||
\(157\) | 7.04204 | − | 5.11634i | 0.562016 | − | 0.408328i | −0.270180 | − | 0.962810i | \(-0.587083\pi\) |
0.832196 | + | 0.554481i | \(0.187083\pi\) | |||||||
\(158\) | −0.980216 | − | 0.712169i | −0.0779818 | − | 0.0566571i | ||||
\(159\) | 4.44982 | − | 13.6951i | 0.352893 | − | 1.08609i | ||||
\(160\) | 11.5222 | 0.910912 | ||||||||
\(161\) | −0.478533 | −0.0377137 | ||||||||
\(162\) | 0.405693 | − | 1.24860i | 0.0318743 | − | 0.0980989i | ||||
\(163\) | 0.966575 | + | 2.97481i | 0.0757080 | + | 0.233005i | 0.981748 | − | 0.190187i | \(-0.0609095\pi\) |
−0.906040 | + | 0.423192i | \(0.860909\pi\) | |||||||
\(164\) | 4.02791 | + | 12.3966i | 0.314527 | + | 0.968014i | ||||
\(165\) | −16.9211 | + | 12.2939i | −1.31731 | + | 0.957081i | ||||
\(166\) | −1.39588 | + | 4.29609i | −0.108342 | + | 0.333441i | ||||
\(167\) | −10.8044 | + | 7.84983i | −0.836067 | + | 0.607438i | −0.921269 | − | 0.388925i | \(-0.872846\pi\) |
0.0852022 | + | 0.996364i | \(0.472846\pi\) | |||||||
\(168\) | −3.45071 | − | 2.50709i | −0.266228 | − | 0.193426i | ||||
\(169\) | −1.46540 | − | 4.51003i | −0.112723 | − | 0.346925i | ||||
\(170\) | −1.54253 | − | 1.12072i | −0.118307 | − | 0.0859551i | ||||
\(171\) | −9.20462 | − | 6.68755i | −0.703895 | − | 0.511410i | ||||
\(172\) | −4.87808 | − | 15.0132i | −0.371950 | − | 1.14474i | ||||
\(173\) | −15.4075 | − | 11.1942i | −1.17141 | − | 0.851080i | −0.180235 | − | 0.983624i | \(-0.557686\pi\) |
−0.991177 | + | 0.132543i | \(0.957686\pi\) | |||||||
\(174\) | −2.59872 | + | 1.88808i | −0.197009 | + | 0.143135i | ||||
\(175\) | −1.28411 | + | 3.95208i | −0.0970696 | + | 0.298749i | ||||
\(176\) | −6.44047 | + | 4.67927i | −0.485468 | + | 0.352713i | ||||
\(177\) | −10.7414 | − | 33.0586i | −0.807371 | − | 2.48483i | ||||
\(178\) | −0.245366 | − | 0.755159i | −0.0183910 | − | 0.0566016i | ||||
\(179\) | 0.0245143 | − | 0.0754473i | 0.00183229 | − | 0.00563919i | −0.950136 | − | 0.311835i | \(-0.899056\pi\) |
0.951968 | + | 0.306196i | \(0.0990563\pi\) | |||||||
\(180\) | −29.9669 | −2.23360 | ||||||||
\(181\) | −2.16285 | −0.160763 | −0.0803817 | − | 0.996764i | \(-0.525614\pi\) | ||||
−0.0803817 | + | 0.996764i | \(0.525614\pi\) | |||||||
\(182\) | 0.337704 | − | 1.03935i | 0.0250323 | − | 0.0770415i | ||||
\(183\) | −33.7886 | − | 24.5489i | −2.49773 | − | 1.81471i | ||||
\(184\) | 0.487386 | − | 0.354107i | 0.0359306 | − | 0.0261051i | ||||
\(185\) | −9.35601 | −0.687868 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.43668 | 0.324442 | ||||||||
\(188\) | −12.0873 | + | 8.78195i | −0.881559 | + | 0.640490i | ||||
\(189\) | 6.00599 | + | 4.36361i | 0.436871 | + | 0.317406i | ||||
\(190\) | 0.683966 | − | 2.10503i | 0.0496201 | − | 0.152715i | ||||
\(191\) | −5.34169 | −0.386511 | −0.193256 | − | 0.981148i | \(-0.561905\pi\) | ||||
−0.193256 | + | 0.981148i | \(0.561905\pi\) | |||||||
\(192\) | −15.0062 | −1.08298 | ||||||||
\(193\) | −0.659342 | + | 2.02925i | −0.0474605 | + | 0.146068i | −0.971978 | − | 0.235070i | \(-0.924468\pi\) |
0.924518 | + | 0.381139i | \(0.124468\pi\) | |||||||
\(194\) | 0.370632 | + | 1.14069i | 0.0266098 | + | 0.0818966i | ||||
\(195\) | −7.63901 | − | 23.5105i | −0.547041 | − | 1.68362i | ||||
\(196\) | −8.84911 | + | 6.42925i | −0.632079 | + | 0.459232i | ||||
\(197\) | 1.81570 | − | 5.58815i | 0.129363 | − | 0.398139i | −0.865307 | − | 0.501241i | \(-0.832877\pi\) |
0.994671 | + | 0.103102i | \(0.0328769\pi\) | |||||||
\(198\) | −3.71293 | + | 2.69760i | −0.263867 | + | 0.191710i | ||||
\(199\) | 5.60484 | + | 4.07215i | 0.397317 | + | 0.288667i | 0.768447 | − | 0.639913i | \(-0.221030\pi\) |
−0.371131 | + | 0.928581i | \(0.621030\pi\) | |||||||
\(200\) | −1.61661 | − | 4.97542i | −0.114312 | − | 0.351815i | ||||
\(201\) | 15.0686 | + | 10.9480i | 1.06286 | + | 0.772211i | ||||
\(202\) | −5.03729 | − | 3.65981i | −0.354423 | − | 0.257503i | ||||
\(203\) | −1.05640 | − | 3.25126i | −0.0741447 | − | 0.228194i | ||||
\(204\) | 8.01501 | + | 5.82325i | 0.561163 | + | 0.407709i | ||||
\(205\) | 16.7084 | − | 12.1394i | 1.16697 | − | 0.847852i | ||||
\(206\) | 0.876809 | − | 2.69854i | 0.0610901 | − | 0.188016i | ||||
\(207\) | −1.92158 | + | 1.39611i | −0.133559 | + | 0.0970363i | ||||
\(208\) | −2.90754 | − | 8.94847i | −0.201601 | − | 0.620465i | ||||
\(209\) | 1.59153 | + | 4.89823i | 0.110089 | + | 0.338818i | ||||
\(210\) | −1.01093 | + | 3.11133i | −0.0697611 | + | 0.214702i | ||||
\(211\) | 16.7087 | 1.15028 | 0.575139 | − | 0.818056i | \(-0.304948\pi\) | ||||
0.575139 | + | 0.818056i | \(0.304948\pi\) | |||||||
\(212\) | −9.33931 | −0.641427 | ||||||||
\(213\) | 1.50015 | − | 4.61698i | 0.102788 | − | 0.316350i | ||||
\(214\) | 3.45476 | + | 2.51003i | 0.236163 | + | 0.171582i | ||||
\(215\) | −20.2351 | + | 14.7016i | −1.38002 | + | 1.00264i | ||||
\(216\) | −9.34610 | −0.635921 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.222141 | −0.0150453 | ||||||||
\(219\) | 33.6132 | − | 24.4214i | 2.27137 | − | 1.65024i | ||||
\(220\) | 10.9745 | + | 7.97344i | 0.739901 | + | 0.537569i | ||||
\(221\) | −1.62040 | + | 4.98709i | −0.109000 | + | 0.335468i | ||||
\(222\) | −3.19961 | −0.214744 | ||||||||
\(223\) | 6.26156 | 0.419305 | 0.209653 | − | 0.977776i | \(-0.432767\pi\) | ||||
0.209653 | + | 0.977776i | \(0.432767\pi\) | |||||||
\(224\) | −1.29589 | + | 3.98834i | −0.0865852 | + | 0.266482i | ||||
\(225\) | 6.37369 | + | 19.6162i | 0.424912 | + | 1.30775i | ||||
\(226\) | −1.22720 | − | 3.77694i | −0.0816322 | − | 0.251238i | ||||
\(227\) | 6.34877 | − | 4.61265i | 0.421383 | − | 0.306153i | −0.356811 | − | 0.934177i | \(-0.616136\pi\) |
0.778194 | + | 0.628024i | \(0.216136\pi\) | |||||||
\(228\) | −3.55389 | + | 10.9378i | −0.235362 | + | 0.724370i | ||||
\(229\) | 10.3336 | − | 7.50777i | 0.682861 | − | 0.496128i | −0.191445 | − | 0.981503i | \(-0.561317\pi\) |
0.874306 | + | 0.485376i | \(0.161317\pi\) | |||||||
\(230\) | −0.373820 | − | 0.271596i | −0.0246489 | − | 0.0179085i | ||||
\(231\) | −2.35236 | − | 7.23982i | −0.154774 | − | 0.476345i | ||||
\(232\) | 3.48183 | + | 2.52969i | 0.228593 | + | 0.166083i | ||||
\(233\) | −10.2887 | − | 7.47514i | −0.674032 | − | 0.489713i | 0.197340 | − | 0.980335i | \(-0.436770\pi\) |
−0.871373 | + | 0.490622i | \(0.836770\pi\) | |||||||
\(234\) | −1.67620 | − | 5.15880i | −0.109576 | − | 0.337241i | ||||
\(235\) | 19.1519 | + | 13.9146i | 1.24933 | + | 0.907692i | ||||
\(236\) | −18.2386 | + | 13.2511i | −1.18723 | + | 0.862572i | ||||
\(237\) | 3.08246 | − | 9.48683i | 0.200227 | − | 0.616236i | ||||
\(238\) | 0.561415 | − | 0.407892i | 0.0363912 | − | 0.0264397i | ||||
\(239\) | 7.85664 | + | 24.1802i | 0.508204 | + | 1.56409i | 0.795317 | + | 0.606193i | \(0.207304\pi\) |
−0.287114 | + | 0.957897i | \(0.592696\pi\) | |||||||
\(240\) | 8.70385 | + | 26.7877i | 0.561831 | + | 1.72914i | ||||
\(241\) | −0.729583 | + | 2.24543i | −0.0469966 | + | 0.144641i | −0.971801 | − | 0.235802i | \(-0.924228\pi\) |
0.924805 | + | 0.380443i | \(0.124228\pi\) | |||||||
\(242\) | −1.78824 | −0.114953 | ||||||||
\(243\) | −9.77268 | −0.626918 | ||||||||
\(244\) | −8.37048 | + | 25.7617i | −0.535865 | + | 1.64922i | ||||
\(245\) | 14.0210 | + | 10.1869i | 0.895772 | + | 0.650816i | ||||
\(246\) | 5.71401 | − | 4.15147i | 0.364312 | − | 0.264688i | ||||
\(247\) | −6.08718 | −0.387318 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −37.1893 | −2.35677 | ||||||||
\(250\) | 0.980506 | − | 0.712379i | 0.0620126 | − | 0.0450548i | ||||
\(251\) | 1.90656 | + | 1.38520i | 0.120341 | + | 0.0874328i | 0.646328 | − | 0.763060i | \(-0.276304\pi\) |
−0.525987 | + | 0.850493i | \(0.676304\pi\) | |||||||
\(252\) | 3.37034 | − | 10.3728i | 0.212312 | − | 0.653428i | ||||
\(253\) | 1.07519 | 0.0675966 | ||||||||
\(254\) | −0.0414009 | −0.00259772 | ||||||||
\(255\) | 4.85076 | − | 14.9291i | 0.303767 | − | 0.934897i | ||||
\(256\) | 2.16580 | + | 6.66565i | 0.135363 | + | 0.416603i | ||||
\(257\) | −8.03877 | − | 24.7408i | −0.501445 | − | 1.54329i | −0.806666 | − | 0.591007i | \(-0.798731\pi\) |
0.305222 | − | 0.952281i | \(-0.401269\pi\) | |||||||
\(258\) | −6.92007 | + | 5.02773i | −0.430825 | + | 0.313013i | ||||
\(259\) | 1.05226 | − | 3.23852i | 0.0653842 | − | 0.201232i | ||||
\(260\) | −12.9708 | + | 9.42386i | −0.804417 | + | 0.584443i | ||||
\(261\) | −13.7275 | − | 9.97363i | −0.849712 | − | 0.617352i | ||||
\(262\) | 0.628129 | + | 1.93318i | 0.0388059 | + | 0.119432i | ||||
\(263\) | 18.5552 | + | 13.4812i | 1.14417 | + | 0.831285i | 0.987694 | − | 0.156398i | \(-0.0499881\pi\) |
0.156471 | + | 0.987683i | \(0.449988\pi\) | |||||||
\(264\) | 7.75322 | + | 5.63304i | 0.477178 | + | 0.346690i | ||||
\(265\) | 4.57276 | + | 14.0735i | 0.280902 | + | 0.864529i | ||||
\(266\) | 0.651718 | + | 0.473500i | 0.0399594 | + | 0.0290322i | ||||
\(267\) | 5.28859 | − | 3.84239i | 0.323657 | − | 0.235150i | ||||
\(268\) | 3.73296 | − | 11.4889i | 0.228027 | − | 0.701794i | ||||
\(269\) | −13.7916 | + | 10.0202i | −0.840887 | + | 0.610940i | −0.922618 | − | 0.385714i | \(-0.873955\pi\) |
0.0817310 | + | 0.996654i | \(0.473955\pi\) | |||||||
\(270\) | 2.21514 | + | 6.81751i | 0.134809 | + | 0.414901i | ||||
\(271\) | −2.23929 | − | 6.89184i | −0.136027 | − | 0.418649i | 0.859721 | − | 0.510764i | \(-0.170637\pi\) |
−0.995748 | + | 0.0921146i | \(0.970637\pi\) | |||||||
\(272\) | 1.84628 | − | 5.68227i | 0.111947 | − | 0.344538i | ||||
\(273\) | 8.99714 | 0.544531 | ||||||||
\(274\) | −4.14881 | −0.250639 | ||||||||
\(275\) | 2.88520 | − | 8.87972i | 0.173984 | − | 0.535467i | ||||
\(276\) | 1.94237 | + | 1.41121i | 0.116917 | + | 0.0849450i | ||||
\(277\) | 12.2188 | − | 8.87748i | 0.734157 | − | 0.533396i | −0.156719 | − | 0.987643i | \(-0.550092\pi\) |
0.890876 | + | 0.454247i | \(0.150092\pi\) | |||||||
\(278\) | 5.41979 | 0.325058 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.38316 | 0.261944 | ||||||||
\(281\) | 2.01209 | − | 1.46187i | 0.120031 | − | 0.0872078i | −0.526150 | − | 0.850392i | \(-0.676365\pi\) |
0.646181 | + | 0.763184i | \(0.276365\pi\) | |||||||
\(282\) | 6.54963 | + | 4.75859i | 0.390025 | + | 0.283370i | ||||
\(283\) | −1.46052 | + | 4.49503i | −0.0868192 | + | 0.267202i | −0.985035 | − | 0.172352i | \(-0.944863\pi\) |
0.898216 | + | 0.439554i | \(0.144863\pi\) | |||||||
\(284\) | −3.14852 | −0.186831 | ||||||||
\(285\) | 18.2223 | 1.07939 | ||||||||
\(286\) | −0.758769 | + | 2.33525i | −0.0448670 | + | 0.138086i | ||||
\(287\) | 2.32279 | + | 7.14881i | 0.137110 | + | 0.421981i | ||||
\(288\) | 6.43215 | + | 19.7961i | 0.379018 | + | 1.16650i | ||||
\(289\) | 11.0595 | − | 8.03516i | 0.650556 | − | 0.472657i | ||||
\(290\) | 1.02005 | − | 3.13939i | 0.0598993 | − | 0.184351i | ||||
\(291\) | −7.98856 | + | 5.80403i | −0.468298 | + | 0.340238i | ||||
\(292\) | −21.8004 | − | 15.8389i | −1.27577 | − | 0.926903i | ||||
\(293\) | −3.25979 | − | 10.0326i | −0.190439 | − | 0.586110i | 0.809561 | − | 0.587036i | \(-0.199705\pi\) |
−1.00000 | 0.000925815i | \(0.999705\pi\) | ||||||||
\(294\) | 4.79497 | + | 3.48375i | 0.279648 | + | 0.203177i | ||||
\(295\) | 28.8982 | + | 20.9958i | 1.68252 | + | 1.22242i | ||||
\(296\) | 1.32473 | + | 4.07709i | 0.0769981 | + | 0.236976i | ||||
\(297\) | −13.4945 | − | 9.80435i | −0.783032 | − | 0.568906i | ||||
\(298\) | 3.39763 | − | 2.46852i | 0.196819 | − | 0.142998i | ||||
\(299\) | −0.392691 | + | 1.20858i | −0.0227099 | + | 0.0698939i | ||||
\(300\) | 16.8671 | − | 12.2546i | 0.973820 | − | 0.707522i | ||||
\(301\) | −2.81306 | − | 8.65771i | −0.162142 | − | 0.499022i | ||||
\(302\) | 0.469377 | + | 1.44459i | 0.0270096 | + | 0.0831271i | ||||
\(303\) | 15.8406 | − | 48.7524i | 0.910020 | − | 2.80075i | ||||
\(304\) | 6.93570 | 0.397790 | ||||||||
\(305\) | 42.9190 | 2.45753 | ||||||||
\(306\) | 1.06438 | − | 3.27583i | 0.0608467 | − | 0.187267i | ||||
\(307\) | −2.14268 | − | 1.55675i | −0.122289 | − | 0.0888485i | 0.524959 | − | 0.851127i | \(-0.324081\pi\) |
−0.647249 | + | 0.762279i | \(0.724081\pi\) | |||||||
\(308\) | −3.99424 | + | 2.90198i | −0.227593 | + | 0.165356i | ||||
\(309\) | 23.3600 | 1.32890 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.51283 | 0.312604 | 0.156302 | − | 0.987709i | \(-0.450043\pi\) | ||||
0.156302 | + | 0.987709i | \(0.450043\pi\) | |||||||
\(312\) | −9.16358 | + | 6.65773i | −0.518786 | + | 0.376920i | ||||
\(313\) | −21.5809 | − | 15.6794i | −1.21982 | − | 0.886254i | −0.223739 | − | 0.974649i | \(-0.571826\pi\) |
−0.996086 | + | 0.0883946i | \(0.971826\pi\) | |||||||
\(314\) | −0.945290 | + | 2.90930i | −0.0533458 | + | 0.164181i | ||||
\(315\) | −17.2811 | −0.973682 | ||||||||
\(316\) | −6.46949 | −0.363937 | ||||||||
\(317\) | 3.31891 | − | 10.2146i | 0.186409 | − | 0.573707i | −0.813561 | − | 0.581480i | \(-0.802474\pi\) |
0.999970 | + | 0.00777223i | \(0.00247400\pi\) | |||||||
\(318\) | 1.56381 | + | 4.81291i | 0.0876941 | + | 0.269895i | ||||
\(319\) | 2.37357 | + | 7.30509i | 0.132894 | + | 0.409007i | ||||
\(320\) | 12.4757 | − | 9.06410i | 0.697411 | − | 0.506698i | ||||
\(321\) | −10.8641 | + | 33.4362i | −0.606375 | + | 1.86623i | ||||
\(322\) | 0.136054 | − | 0.0988491i | 0.00758200 | − | 0.00550864i | ||||
\(323\) | −3.12714 | − | 2.27200i | −0.173998 | − | 0.126417i | ||||
\(324\) | −2.16622 | − | 6.66695i | −0.120346 | − | 0.370386i | ||||
\(325\) | 8.92758 | + | 6.48627i | 0.495213 | + | 0.359793i | ||||
\(326\) | −0.889309 | − | 0.646121i | −0.0492543 | − | 0.0357853i | ||||
\(327\) | −0.565148 | − | 1.73935i | −0.0312527 | − | 0.0961860i | ||||
\(328\) | −7.65576 | − | 5.56224i | −0.422719 | − | 0.307123i | ||||
\(329\) | −6.97044 | + | 5.06432i | −0.384293 | + | 0.279205i | ||||
\(330\) | 2.27141 | − | 6.99069i | 0.125037 | − | 0.384825i | ||||
\(331\) | 15.8953 | − | 11.5486i | 0.873682 | − | 0.634767i | −0.0578904 | − | 0.998323i | \(-0.518437\pi\) |
0.931572 | + | 0.363556i | \(0.118437\pi\) | |||||||
\(332\) | 7.45341 | + | 22.9392i | 0.409059 | + | 1.25895i | ||||
\(333\) | −5.22289 | − | 16.0744i | −0.286213 | − | 0.880872i | ||||
\(334\) | 1.45033 | − | 4.46365i | 0.0793584 | − | 0.244240i | ||||
\(335\) | −19.1404 | −1.04575 | ||||||||
\(336\) | −10.2513 | −0.559254 | ||||||||
\(337\) | −5.92655 | + | 18.2401i | −0.322840 | + | 0.993599i | 0.649566 | + | 0.760305i | \(0.274950\pi\) |
−0.972406 | + | 0.233294i | \(0.925050\pi\) | |||||||
\(338\) | 1.34826 | + | 0.979565i | 0.0733355 | + | 0.0532813i | ||||
\(339\) | 26.4510 | − | 19.2178i | 1.43662 | − | 1.04376i | ||||
\(340\) | −10.1808 | −0.552133 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 3.99844 | 0.216211 | ||||||||
\(343\) | −11.2313 | + | 8.15999i | −0.606431 | + | 0.440598i | ||||
\(344\) | 9.27166 | + | 6.73626i | 0.499895 | + | 0.363195i | ||||
\(345\) | 1.17554 | − | 3.61794i | 0.0632889 | − | 0.194783i | ||||
\(346\) | 6.69294 | 0.359815 | ||||||||
\(347\) | −10.6600 | −0.572257 | −0.286128 | − | 0.958191i | \(-0.592368\pi\) | ||||
−0.286128 | + | 0.958191i | \(0.592368\pi\) | |||||||
\(348\) | −5.30018 | + | 16.3123i | −0.284119 | + | 0.874429i | ||||
\(349\) | −5.77910 | − | 17.7862i | −0.309348 | − | 0.952075i | −0.978019 | − | 0.208517i | \(-0.933136\pi\) |
0.668671 | − | 0.743559i | \(-0.266864\pi\) | |||||||
\(350\) | −0.451278 | − | 1.38889i | −0.0241218 | − | 0.0742393i | ||||
\(351\) | 15.9493 | − | 11.5878i | 0.851309 | − | 0.618513i | ||||
\(352\) | 2.91166 | − | 8.96118i | 0.155192 | − | 0.477632i | ||||
\(353\) | −10.2440 | + | 7.44268i | −0.545232 | + | 0.396134i | −0.826024 | − | 0.563635i | \(-0.809403\pi\) |
0.280793 | + | 0.959768i | \(0.409403\pi\) | |||||||
\(354\) | 9.88273 | + | 7.18023i | 0.525261 | + | 0.381625i | ||||
\(355\) | 1.54160 | + | 4.74454i | 0.0818194 | + | 0.251814i | ||||
\(356\) | −3.43001 | − | 2.49205i | −0.181790 | − | 0.132078i | ||||
\(357\) | 4.62205 | + | 3.35812i | 0.244625 | + | 0.177730i | ||||
\(358\) | 0.00861512 | + | 0.0265146i | 0.000455323 | + | 0.00140134i | ||||
\(359\) | 18.3470 | + | 13.3299i | 0.968317 | + | 0.703523i | 0.955067 | − | 0.296389i | \(-0.0957824\pi\) |
0.0132495 | + | 0.999912i | \(0.495782\pi\) | |||||||
\(360\) | 17.6008 | − | 12.7878i | 0.927646 | − | 0.673974i | ||||
\(361\) | −4.48474 | + | 13.8026i | −0.236039 | + | 0.726453i | ||||
\(362\) | 0.614931 | − | 0.446773i | 0.0323200 | − | 0.0234819i | ||||
\(363\) | −4.54945 | − | 14.0018i | −0.238784 | − | 0.734903i | ||||
\(364\) | −1.80319 | − | 5.54965i | −0.0945129 | − | 0.290881i | ||||
\(365\) | −13.1938 | + | 40.6064i | −0.690596 | + | 2.12543i | ||||
\(366\) | 14.6776 | 0.767210 | ||||||||
\(367\) | −8.71968 | −0.455164 | −0.227582 | − | 0.973759i | \(-0.573082\pi\) | ||||
−0.227582 | + | 0.973759i | \(0.573082\pi\) | |||||||
\(368\) | 0.447430 | − | 1.37705i | 0.0233239 | − | 0.0717836i | ||||
\(369\) | 30.1838 | + | 21.9298i | 1.57130 | + | 1.14162i | ||||
\(370\) | 2.66005 | − | 1.93264i | 0.138290 | − | 0.100473i | ||||
\(371\) | −5.38574 | −0.279614 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 25.4134 | 1.31586 | 0.657928 | − | 0.753081i | \(-0.271433\pi\) | ||||
0.657928 | + | 0.753081i | \(0.271433\pi\) | |||||||
\(374\) | −1.26141 | + | 0.916471i | −0.0652262 | + | 0.0473896i | ||||
\(375\) | 8.07236 | + | 5.86491i | 0.416855 | + | 0.302863i | ||||
\(376\) | 3.35188 | − | 10.3160i | 0.172860 | − | 0.532009i | ||||
\(377\) | −9.07826 | −0.467554 | ||||||||
\(378\) | −2.60897 | −0.134191 | ||||||||
\(379\) | 6.82862 | − | 21.0163i | 0.350763 | − | 1.07954i | −0.607663 | − | 0.794195i | \(-0.707893\pi\) |
0.958426 | − | 0.285342i | \(-0.0921071\pi\) | |||||||
\(380\) | −3.65208 | − | 11.2399i | −0.187348 | − | 0.576597i | ||||
\(381\) | −0.105328 | − | 0.324165i | −0.00539610 | − | 0.0166075i | ||||
\(382\) | 1.51872 | − | 1.10342i | 0.0777046 | − | 0.0564557i | ||||
\(383\) | 8.23303 | − | 25.3386i | 0.420688 | − | 1.29474i | −0.486375 | − | 0.873750i | \(-0.661681\pi\) |
0.907063 | − | 0.420994i | \(-0.138319\pi\) | |||||||
\(384\) | 22.4086 | − | 16.2808i | 1.14353 | − | 0.830825i | ||||
\(385\) | 6.32871 | + | 4.59807i | 0.322541 | + | 0.234340i | ||||
\(386\) | −0.231714 | − | 0.713143i | −0.0117939 | − | 0.0362980i | ||||
\(387\) | −36.5547 | − | 26.5585i | −1.85818 | − | 1.35005i | ||||
\(388\) | 5.18112 | + | 3.76430i | 0.263032 | + | 0.191104i | ||||
\(389\) | 4.00333 | + | 12.3210i | 0.202977 | + | 0.624699i | 0.999790 | + | 0.0204735i | \(0.00651738\pi\) |
−0.796813 | + | 0.604225i | \(0.793483\pi\) | |||||||
\(390\) | 7.02837 | + | 5.10641i | 0.355895 | + | 0.258573i | ||||
\(391\) | −0.652828 | + | 0.474307i | −0.0330149 | + | 0.0239868i | ||||
\(392\) | 2.45391 | − | 7.55234i | 0.123941 | − | 0.381451i | ||||
\(393\) | −13.5386 | + | 9.83639i | −0.682933 | + | 0.496180i | ||||
\(394\) | 0.638096 | + | 1.96386i | 0.0321468 | + | 0.0989377i | ||||
\(395\) | 3.16762 | + | 9.74894i | 0.159380 | + | 0.490522i | ||||
\(396\) | −7.57264 | + | 23.3062i | −0.380539 | + | 1.17118i | ||||
\(397\) | −2.92725 | −0.146915 | −0.0734574 | − | 0.997298i | \(-0.523403\pi\) | ||||
−0.0734574 | + | 0.997298i | \(0.523403\pi\) | |||||||
\(398\) | −2.43471 | −0.122041 | ||||||||
\(399\) | −2.04944 | + | 6.30752i | −0.102600 | + | 0.315771i | ||||
\(400\) | −10.1720 | − | 7.39042i | −0.508602 | − | 0.369521i | ||||
\(401\) | −9.93025 | + | 7.21475i | −0.495893 | + | 0.360287i | −0.807446 | − | 0.589942i | \(-0.799151\pi\) |
0.311553 | + | 0.950229i | \(0.399151\pi\) | |||||||
\(402\) | −6.54572 | −0.326471 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −33.2464 | −1.65407 | ||||||||
\(405\) | −8.98586 | + | 6.52861i | −0.446511 | + | 0.324409i | ||||
\(406\) | 0.971954 | + | 0.706166i | 0.0482373 | + | 0.0350464i | ||||
\(407\) | −2.36426 | + | 7.27645i | −0.117192 | + | 0.360680i | ||||
\(408\) | −7.19251 | −0.356082 | ||||||||
\(409\) | 17.1972 | 0.850348 | 0.425174 | − | 0.905112i | \(-0.360213\pi\) | ||||
0.425174 | + | 0.905112i | \(0.360213\pi\) | |||||||
\(410\) | −2.24286 | + | 6.90282i | −0.110767 | + | 0.340906i | ||||
\(411\) | −10.5549 | − | 32.4848i | −0.520637 | − | 1.60236i | ||||
\(412\) | −4.68177 | − | 14.4090i | −0.230654 | − | 0.709881i | ||||
\(413\) | −10.5177 | + | 7.64156i | −0.517542 | + | 0.376016i | ||||
\(414\) | 0.257944 | − | 0.793869i | 0.0126772 | − | 0.0390165i | ||||
\(415\) | 30.9180 | − | 22.4632i | 1.51770 | − | 1.10268i | ||||
\(416\) | 9.00948 | + | 6.54577i | 0.441726 | + | 0.320933i | ||||
\(417\) | 13.7884 | + | 42.4365i | 0.675223 | + | 2.07812i | ||||
\(418\) | −1.46431 | − | 1.06388i | −0.0716217 | − | 0.0520362i | ||||
\(419\) | −18.7251 | − | 13.6046i | −0.914782 | − | 0.664628i | 0.0274378 | − | 0.999624i | \(-0.491265\pi\) |
−0.942220 | + | 0.334996i | \(0.891265\pi\) | |||||||
\(420\) | 5.39794 | + | 16.6132i | 0.263393 | + | 0.810639i | ||||
\(421\) | −23.6089 | − | 17.1529i | −1.15063 | − | 0.835981i | −0.162064 | − | 0.986780i | \(-0.551815\pi\) |
−0.988564 | + | 0.150800i | \(0.951815\pi\) | |||||||
\(422\) | −4.75054 | + | 3.45147i | −0.231253 | + | 0.168015i | ||||
\(423\) | −13.2152 | + | 40.6722i | −0.642545 | + | 1.97755i | ||||
\(424\) | 5.48537 | − | 3.98536i | 0.266393 | − | 0.193546i | ||||
\(425\) | 2.16537 | + | 6.66431i | 0.105036 | + | 0.323267i | ||||
\(426\) | 0.527201 | + | 1.62256i | 0.0255430 | + | 0.0786132i | ||||
\(427\) | −4.82704 | + | 14.8561i | −0.233597 | + | 0.718937i | ||||
\(428\) | 22.8017 | 1.10216 | ||||||||
\(429\) | −20.2152 | −0.975998 | ||||||||
\(430\) | 2.71626 | − | 8.35979i | 0.130990 | − | 0.403145i | ||||
\(431\) | −24.5555 | − | 17.8406i | −1.18279 | − | 0.859351i | −0.190311 | − | 0.981724i | \(-0.560950\pi\) |
−0.992484 | + | 0.122373i | \(0.960950\pi\) | |||||||
\(432\) | −18.1725 | + | 13.2031i | −0.874326 | + | 0.635235i | ||||
\(433\) | 13.8400 | 0.665107 | 0.332553 | − | 0.943084i | \(-0.392090\pi\) | ||||
0.332553 | + | 0.943084i | \(0.392090\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 27.1762 | 1.30300 | ||||||||
\(436\) | −0.959605 | + | 0.697194i | −0.0459567 | + | 0.0333895i | ||||
\(437\) | −0.757834 | − | 0.550598i | −0.0362521 | − | 0.0263387i | ||||
\(438\) | −4.51207 | + | 13.8867i | −0.215595 | + | 0.663534i | ||||
\(439\) | 12.9201 | 0.616644 | 0.308322 | − | 0.951282i | \(-0.400233\pi\) | ||||
0.308322 | + | 0.951282i | \(0.400233\pi\) | |||||||
\(440\) | −9.84829 | −0.469499 | ||||||||
\(441\) | −9.67482 | + | 29.7760i | −0.460706 | + | 1.41791i | ||||
\(442\) | −0.569463 | − | 1.75263i | −0.0270866 | − | 0.0833639i | ||||
\(443\) | 7.34171 | + | 22.5955i | 0.348815 | + | 1.07354i | 0.959510 | + | 0.281676i | \(0.0908903\pi\) |
−0.610695 | + | 0.791866i | \(0.709110\pi\) | |||||||
\(444\) | −13.8216 | + | 10.0420i | −0.655946 | + | 0.476573i | ||||
\(445\) | −2.07587 | + | 6.38888i | −0.0984059 | + | 0.302862i | ||||
\(446\) | −1.78026 | + | 1.29343i | −0.0842975 | + | 0.0612458i | ||||
\(447\) | 27.9722 | + | 20.3230i | 1.32304 | + | 0.961243i | ||||
\(448\) | 1.73435 | + | 5.33779i | 0.0819405 | + | 0.252187i | ||||
\(449\) | −15.7054 | − | 11.4106i | −0.741181 | − | 0.538500i | 0.151900 | − | 0.988396i | \(-0.451461\pi\) |
−0.893081 | + | 0.449896i | \(0.851461\pi\) | |||||||
\(450\) | −5.86419 | − | 4.26058i | −0.276440 | − | 0.200846i | ||||
\(451\) | −5.21895 | − | 16.0623i | −0.245751 | − | 0.756343i | ||||
\(452\) | −17.1552 | − | 12.4640i | −0.806914 | − | 0.586258i | ||||
\(453\) | −10.1169 | + | 7.35036i | −0.475334 | + | 0.345350i | ||||
\(454\) | −0.852229 | + | 2.62289i | −0.0399971 | + | 0.123098i | ||||
\(455\) | −7.47994 | + | 5.43449i | −0.350665 | + | 0.254773i | ||||
\(456\) | −2.58011 | − | 7.94076i | −0.120825 | − | 0.371860i | ||||
\(457\) | −7.52208 | − | 23.1506i | −0.351868 | − | 1.08294i | −0.957803 | − | 0.287424i | \(-0.907201\pi\) |
0.605935 | − | 0.795514i | \(-0.292799\pi\) | |||||||
\(458\) | −1.38713 | + | 4.26914i | −0.0648162 | + | 0.199484i | ||||
\(459\) | 12.5186 | 0.584319 | ||||||||
\(460\) | −2.46723 | −0.115035 | ||||||||
\(461\) | 11.8487 | − | 36.4665i | 0.551848 | − | 1.69841i | −0.152279 | − | 0.988338i | \(-0.548661\pi\) |
0.704126 | − | 0.710075i | \(-0.251339\pi\) | |||||||
\(462\) | 2.16432 | + | 1.57247i | 0.100693 | + | 0.0731578i | ||||
\(463\) | −5.33489 | + | 3.87603i | −0.247934 | + | 0.180134i | −0.704810 | − | 0.709396i | \(-0.748968\pi\) |
0.456877 | + | 0.889530i | \(0.348968\pi\) | |||||||
\(464\) | 10.3437 | 0.480195 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.46933 | 0.207038 | ||||||||
\(467\) | −31.0674 | + | 22.5718i | −1.43763 | + | 1.04450i | −0.449096 | + | 0.893484i | \(0.648254\pi\) |
−0.988532 | + | 0.151014i | \(0.951746\pi\) | |||||||
\(468\) | −23.4318 | − | 17.0242i | −1.08314 | − | 0.786944i | ||||
\(469\) | 2.15270 | − | 6.62532i | 0.0994024 | − | 0.305929i | ||||
\(470\) | −8.31947 | −0.383748 | ||||||||
\(471\) | −25.1845 | −1.16044 | ||||||||
\(472\) | 5.05765 | − | 15.5658i | 0.232797 | − | 0.716476i | ||||
\(473\) | 6.32051 | + | 19.4525i | 0.290617 | + | 0.894429i | ||||
\(474\) | 1.08328 | + | 3.33398i | 0.0497565 | + | 0.153135i | ||||
\(475\) | −6.58085 | + | 4.78126i | −0.301950 | + | 0.219379i | ||||
\(476\) | 1.14502 | − | 3.52402i | 0.0524821 | − | 0.161523i | ||||
\(477\) | −21.6268 | + | 15.7128i | −0.990221 | + | 0.719438i | ||||
\(478\) | −7.22859 | − | 5.25188i | −0.330628 | − | 0.240215i | ||||
\(479\) | 2.32540 | + | 7.15684i | 0.106250 | + | 0.327005i | 0.990022 | − | 0.140914i | \(-0.0450041\pi\) |
−0.883772 | + | 0.467918i | \(0.845004\pi\) | |||||||
\(480\) | −26.9703 | − | 19.5951i | −1.23102 | − | 0.894389i | ||||
\(481\) | −7.31567 | − | 5.31515i | −0.333566 | − | 0.242350i | ||||
\(482\) | −0.256399 | − | 0.789116i | −0.0116787 | − | 0.0359432i | ||||
\(483\) | 1.12011 | + | 0.813810i | 0.0509669 | + | 0.0370296i | ||||
\(484\) | −7.72484 | + | 5.61243i | −0.351129 | + | 0.255110i | ||||
\(485\) | 3.13566 | − | 9.65058i | 0.142383 | − | 0.438210i | ||||
\(486\) | 2.77852 | − | 2.01871i | 0.126036 | − | 0.0915706i | ||||
\(487\) | −7.73539 | − | 23.8071i | −0.350524 | − | 1.07880i | −0.958560 | − | 0.284892i | \(-0.908042\pi\) |
0.608035 | − | 0.793910i | \(-0.291958\pi\) | |||||||
\(488\) | −6.07693 | − | 18.7029i | −0.275090 | − | 0.846639i | ||||
\(489\) | 2.79658 | − | 8.60700i | 0.126466 | − | 0.389222i | ||||
\(490\) | −6.09066 | −0.275148 | ||||||||
\(491\) | 39.7100 | 1.79209 | 0.896044 | − | 0.443964i | \(-0.146428\pi\) | ||||
0.896044 | + | 0.443964i | \(0.146428\pi\) | |||||||
\(492\) | 11.6539 | − | 35.8670i | 0.525399 | − | 1.61701i | ||||
\(493\) | −4.66372 | − | 3.38839i | −0.210044 | − | 0.152606i | ||||
\(494\) | 1.73068 | − | 1.25741i | 0.0778668 | − | 0.0565735i | ||||
\(495\) | 38.8281 | 1.74519 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.81567 | −0.0814440 | ||||||||
\(498\) | 10.5735 | − | 7.68207i | 0.473808 | − | 0.344242i | ||||
\(499\) | −19.1366 | − | 13.9035i | −0.856670 | − | 0.622407i | 0.0703072 | − | 0.997525i | \(-0.477602\pi\) |
−0.926977 | + | 0.375118i | \(0.877602\pi\) | |||||||
\(500\) | 1.99977 | − | 6.15467i | 0.0894325 | − | 0.275245i | ||||
\(501\) | 38.6397 | 1.72630 | ||||||||
\(502\) | −0.828199 | −0.0369643 | ||||||||
\(503\) | −6.23795 | + | 19.1984i | −0.278136 | + | 0.856016i | 0.710236 | + | 0.703964i | \(0.248588\pi\) |
−0.988372 | + | 0.152052i | \(0.951412\pi\) | |||||||
\(504\) | 2.44685 | + | 7.53063i | 0.108991 | + | 0.335441i | ||||
\(505\) | 16.2783 | + | 50.0994i | 0.724374 | + | 2.22939i | ||||
\(506\) | −0.305693 | + | 0.222099i | −0.0135897 | + | 0.00987349i | ||||
\(507\) | −4.23982 | + | 13.0488i | −0.188297 | + | 0.579519i | ||||
\(508\) | −0.178843 | + | 0.129937i | −0.00793490 | + | 0.00576504i | ||||
\(509\) | 9.57796 | + | 6.95880i | 0.424536 | + | 0.308443i | 0.779460 | − | 0.626452i | \(-0.215493\pi\) |
−0.354925 | + | 0.934895i | \(0.615493\pi\) | |||||||
\(510\) | 1.70472 | + | 5.24658i | 0.0754861 | + | 0.232322i | ||||
\(511\) | −12.5717 | − | 9.13389i | −0.556140 | − | 0.404060i | ||||
\(512\) | −17.4827 | − | 12.7019i | −0.772633 | − | 0.561351i | ||||
\(513\) | 4.49070 | + | 13.8209i | 0.198269 | + | 0.610209i | ||||
\(514\) | 7.39617 | + | 5.37363i | 0.326231 | + | 0.237021i | ||||
\(515\) | −19.4208 | + | 14.1100i | −0.855782 | + | 0.621762i | ||||
\(516\) | −14.1137 | + | 43.4375i | −0.621321 | + | 1.91223i | ||||
\(517\) | 15.6615 | − | 11.3788i | 0.688793 | − | 0.500437i | ||||
\(518\) | 0.369798 | + | 1.13812i | 0.0162480 | + | 0.0500062i | ||||
\(519\) | 17.0275 | + | 52.4051i | 0.747422 | + | 2.30033i | ||||
\(520\) | 3.59688 | − | 11.0701i | 0.157734 | − | 0.485454i | ||||
\(521\) | −32.7484 | −1.43474 | −0.717368 | − | 0.696695i | \(-0.754653\pi\) | ||||
−0.717368 | + | 0.696695i | \(0.754653\pi\) | |||||||
\(522\) | 5.96316 | 0.261000 | ||||||||
\(523\) | 9.11682 | − | 28.0587i | 0.398651 | − | 1.22692i | −0.527431 | − | 0.849598i | \(-0.676845\pi\) |
0.926082 | − | 0.377323i | \(-0.123155\pi\) | |||||||
\(524\) | 8.78071 | + | 6.37956i | 0.383587 | + | 0.278692i | ||||
\(525\) | 9.72679 | − | 7.06693i | 0.424512 | − | 0.308426i | ||||
\(526\) | −8.06030 | −0.351446 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 23.0331 | 1.00239 | ||||||||
\(529\) | 18.4492 | − | 13.4041i | 0.802138 | − | 0.582788i | ||||
\(530\) | −4.20722 | − | 3.05673i | −0.182750 | − | 0.132776i | ||||
\(531\) | −19.9404 | + | 61.3703i | −0.865340 | + | 2.66324i | ||||
\(532\) | 4.30138 | 0.186488 | ||||||||
\(533\) | 19.9611 | 0.864610 | ||||||||
\(534\) | −0.709916 | + | 2.18490i | −0.0307211 | + | 0.0945497i | ||||
\(535\) | −11.1643 | − | 34.3600i | −0.482673 | − | 1.48551i | ||||
\(536\) | 2.71011 | + | 8.34085i | 0.117059 | + | 0.360270i | ||||
\(537\) | −0.185689 | + | 0.134911i | −0.00801309 | + | 0.00582185i | ||||
\(538\) | 1.85132 | − | 5.69777i | 0.0798159 | − | 0.245648i | ||||
\(539\) | 11.4658 | − | 8.33037i | 0.493866 | − | 0.358814i | ||||
\(540\) | 30.9658 | + | 22.4980i | 1.33256 | + | 0.968160i | ||||
\(541\) | 4.09937 | + | 12.6165i | 0.176245 | + | 0.542428i | 0.999688 | − | 0.0249716i | \(-0.00794955\pi\) |
−0.823443 | + | 0.567399i | \(0.807950\pi\) | |||||||
\(542\) | 2.06029 | + | 1.49689i | 0.0884970 | + | 0.0642968i | ||||
\(543\) | 5.06264 | + | 3.67822i | 0.217258 | + | 0.157848i | ||||
\(544\) | 2.18523 | + | 6.72544i | 0.0936909 | + | 0.288351i | ||||
\(545\) | 1.52045 | + | 1.10467i | 0.0651291 | + | 0.0473191i | ||||
\(546\) | −2.55802 | + | 1.85851i | −0.109473 | + | 0.0795369i | ||||
\(547\) | 11.6697 | − | 35.9156i | 0.498959 | − | 1.53564i | −0.311735 | − | 0.950169i | \(-0.600910\pi\) |
0.810695 | − | 0.585469i | \(-0.199090\pi\) | |||||||
\(548\) | −17.9220 | + | 13.0211i | −0.765590 | + | 0.556234i | ||||
\(549\) | 23.9590 | + | 73.7384i | 1.02255 | + | 3.14708i | ||||
\(550\) | 1.01395 | + | 3.12062i | 0.0432351 | + | 0.133064i | ||||
\(551\) | 2.06792 | − | 6.36439i | 0.0880961 | − | 0.271132i | ||||
\(552\) | −1.74304 | −0.0741887 | ||||||||
\(553\) | −3.73078 | −0.158649 | ||||||||
\(554\) | −1.64019 | + | 5.04800i | −0.0696852 | + | 0.214469i | ||||
\(555\) | 21.8998 | + | 15.9112i | 0.929596 | + | 0.675391i | ||||
\(556\) | 23.4124 | − | 17.0101i | 0.992907 | − | 0.721389i | ||||
\(557\) | 11.3637 | 0.481496 | 0.240748 | − | 0.970588i | \(-0.422607\pi\) | ||||
0.240748 | + | 0.970588i | \(0.422607\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −24.1743 | −1.02246 | ||||||||
\(560\) | 8.52261 | − | 6.19204i | 0.360146 | − | 0.261661i | ||||
\(561\) | −10.3850 | − | 7.54517i | −0.438457 | − | 0.318557i | ||||
\(562\) | −0.270094 | + | 0.831262i | −0.0113932 | + | 0.0350647i | ||||
\(563\) | −20.1865 | −0.850762 | −0.425381 | − | 0.905014i | \(-0.639860\pi\) | ||||
−0.425381 | + | 0.905014i | \(0.639860\pi\) | |||||||
\(564\) | 43.2280 | 1.82023 | ||||||||
\(565\) | −10.3825 | + | 31.9541i | −0.436796 | + | 1.34432i | ||||
\(566\) | −0.513276 | − | 1.57970i | −0.0215746 | − | 0.0663998i | ||||
\(567\) | −1.24920 | − | 3.84466i | −0.0524617 | − | 0.161460i | ||||
\(568\) | 1.84926 | − | 1.34357i | 0.0775933 | − | 0.0563748i | ||||
\(569\) | 9.57633 | − | 29.4729i | 0.401461 | − | 1.23557i | −0.522354 | − | 0.852729i | \(-0.674946\pi\) |
0.923815 | − | 0.382840i | \(-0.125054\pi\) | |||||||
\(570\) | −5.18087 | + | 3.76412i | −0.217003 | + | 0.157662i | ||||
\(571\) | −8.41353 | − | 6.11279i | −0.352095 | − | 0.255812i | 0.397652 | − | 0.917536i | \(-0.369825\pi\) |
−0.749748 | + | 0.661724i | \(0.769825\pi\) | |||||||
\(572\) | 4.05149 | + | 12.4692i | 0.169401 | + | 0.521364i | ||||
\(573\) | 12.5034 | + | 9.08427i | 0.522338 | + | 0.379501i | ||||
\(574\) | −2.13711 | − | 1.55270i | −0.0892012 | − | 0.0648085i | ||||
\(575\) | 0.524757 | + | 1.61504i | 0.0218839 | + | 0.0673517i | ||||
\(576\) | 22.5373 | + | 16.3743i | 0.939053 | + | 0.682262i | ||||
\(577\) | −4.37990 | + | 3.18219i | −0.182338 | + | 0.132476i | −0.675210 | − | 0.737626i | \(-0.735947\pi\) |
0.492872 | + | 0.870102i | \(0.335947\pi\) | |||||||
\(578\) | −1.48457 | + | 4.56903i | −0.0617499 | + | 0.190047i | ||||
\(579\) | 4.99434 | − | 3.62860i | 0.207558 | − | 0.150800i | ||||
\(580\) | −5.44661 | − | 16.7630i | −0.226158 | − | 0.696044i | ||||
\(581\) | 4.29819 | + | 13.2285i | 0.178319 | + | 0.548809i | ||||
\(582\) | 1.07235 | − | 3.30034i | 0.0444502 | − | 0.136804i | ||||
\(583\) | 12.1009 | 0.501169 | ||||||||
\(584\) | 19.5632 | 0.809532 | ||||||||
\(585\) | −14.1811 | + | 43.6451i | −0.586318 | + | 1.80450i | ||||
\(586\) | 2.99921 | + | 2.17905i | 0.123896 | + | 0.0900158i | ||||
\(587\) | −10.1635 | + | 7.38424i | −0.419494 | + | 0.304780i | −0.777434 | − | 0.628964i | \(-0.783479\pi\) |
0.357940 | + | 0.933744i | \(0.383479\pi\) | |||||||
\(588\) | 31.6471 | 1.30510 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −12.5532 | −0.516809 | ||||||||
\(591\) | −13.7535 | + | 9.99247i | −0.565741 | + | 0.411035i | ||||
\(592\) | 8.33544 | + | 6.05605i | 0.342584 | + | 0.248902i | ||||
\(593\) | 8.36510 | − | 25.7451i | 0.343513 | − | 1.05723i | −0.618861 | − | 0.785500i | \(-0.712406\pi\) |
0.962375 | − | 0.271726i | \(-0.0875943\pi\) | |||||||
\(594\) | 5.86195 | 0.240519 | ||||||||
\(595\) | −5.87102 | −0.240688 | ||||||||
\(596\) | 6.92957 | − | 21.3270i | 0.283846 | − | 0.873588i | ||||
\(597\) | −6.19413 | − | 19.0636i | −0.253509 | − | 0.780220i | ||||
\(598\) | −0.138004 | − | 0.424734i | −0.00564342 | − | 0.0173686i | ||||
\(599\) | 11.6135 | − | 8.43770i | 0.474515 | − | 0.344755i | −0.324683 | − | 0.945823i | \(-0.605258\pi\) |
0.799198 | + | 0.601068i | \(0.205258\pi\) | |||||||
\(600\) | −4.67733 | + | 14.3953i | −0.190951 | + | 0.587687i | ||||
\(601\) | 0.517784 | − | 0.376192i | 0.0211209 | − | 0.0153452i | −0.577175 | − | 0.816621i | \(-0.695845\pi\) |
0.598296 | + | 0.801275i | \(0.295845\pi\) | |||||||
\(602\) | 2.58819 | + | 1.88043i | 0.105487 | + | 0.0766406i | ||||
\(603\) | −10.6849 | − | 32.8848i | −0.435124 | − | 1.33917i | ||||
\(604\) | 6.56150 | + | 4.76721i | 0.266984 | + | 0.193975i | ||||
\(605\) | 12.2397 | + | 8.89266i | 0.497614 | + | 0.361538i | ||||
\(606\) | 5.56691 | + | 17.1332i | 0.226140 | + | 0.695988i | ||||
\(607\) | 5.27303 | + | 3.83108i | 0.214026 | + | 0.155499i | 0.689633 | − | 0.724159i | \(-0.257772\pi\) |
−0.475608 | + | 0.879658i | \(0.657772\pi\) | |||||||
\(608\) | −6.64121 | + | 4.82512i | −0.269337 | + | 0.195685i | ||||
\(609\) | −3.05647 | + | 9.40686i | −0.123855 | + | 0.381185i | ||||
\(610\) | −12.2025 | + | 8.86563i | −0.494065 | + | 0.358959i | ||||
\(611\) | 7.07036 | + | 21.7603i | 0.286036 | + | 0.880329i | ||||
\(612\) | −5.68333 | − | 17.4915i | −0.229735 | − | 0.707052i | ||||
\(613\) | −3.22778 | + | 9.93409i | −0.130369 | + | 0.401234i | −0.994841 | − | 0.101447i | \(-0.967653\pi\) |
0.864472 | + | 0.502681i | \(0.167653\pi\) | |||||||
\(614\) | 0.930770 | 0.0375628 | ||||||||
\(615\) | −59.7545 | −2.40953 | ||||||||
\(616\) | 1.10762 | − | 3.40892i | 0.0446274 | − | 0.137349i | ||||
\(617\) | −17.5584 | − | 12.7569i | −0.706874 | − | 0.513574i | 0.175290 | − | 0.984517i | \(-0.443914\pi\) |
−0.882164 | + | 0.470943i | \(0.843914\pi\) | |||||||
\(618\) | −6.64159 | + | 4.82540i | −0.267164 | + | 0.194106i | ||||
\(619\) | −28.5478 | −1.14743 | −0.573716 | − | 0.819054i | \(-0.694499\pi\) | ||||
−0.573716 | + | 0.819054i | \(0.694499\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.03377 | 0.121741 | ||||||||
\(622\) | −1.56738 | + | 1.13877i | −0.0628462 | + | 0.0456604i | ||||
\(623\) | −1.97800 | − | 1.43710i | −0.0792468 | − | 0.0575762i | ||||
\(624\) | −8.41235 | + | 25.8906i | −0.336764 | + | 1.03645i | ||||
\(625\) | −29.4541 | −1.17817 | ||||||||
\(626\) | 9.37462 | 0.374685 | ||||||||
\(627\) | 4.60477 | − | 14.1720i | 0.183897 | − | 0.565976i | ||||
\(628\) | 5.04743 | + | 15.5344i | 0.201414 | + | 0.619890i | ||||
\(629\) | −1.77440 | − | 5.46104i | −0.0707500 | − | 0.217746i | ||||
\(630\) | 4.91329 | − | 3.56971i | 0.195750 | − | 0.142221i | ||||
\(631\) | −8.41778 | + | 25.9073i | −0.335107 | + | 1.03135i | 0.631563 | + | 0.775325i | \(0.282414\pi\) |
−0.966670 | + | 0.256027i | \(0.917586\pi\) | |||||||
\(632\) | 3.79980 | − | 2.76072i | 0.151148 | − | 0.109816i | ||||
\(633\) | −39.1105 | − | 28.4155i | −1.55450 | − | 1.12941i | ||||
\(634\) | 1.16637 | + | 3.58973i | 0.0463226 | + | 0.142566i | ||||
\(635\) | 0.283370 | + | 0.205880i | 0.0112452 | + | 0.00817012i | ||||
\(636\) | 21.8607 | + | 15.8828i | 0.866835 | + | 0.629792i | ||||
\(637\) | 5.17620 | + | 15.9307i | 0.205088 | + | 0.631197i | ||||
\(638\) | −2.18383 | − | 1.58665i | −0.0864587 | − | 0.0628159i | ||||
\(639\) | −7.29094 | + | 5.29718i | −0.288425 | + | 0.209553i | ||||
\(640\) | −8.79580 | + | 27.0707i | −0.347684 | + | 1.07006i | ||||
\(641\) | 33.3380 | − | 24.2215i | 1.31677 | − | 0.956692i | 0.316807 | − | 0.948490i | \(-0.397389\pi\) |
0.999966 | − | 0.00820217i | \(-0.00261086\pi\) | |||||||
\(642\) | −3.81800 | − | 11.7506i | −0.150684 | − | 0.463759i | ||||
\(643\) | 9.52156 | + | 29.3044i | 0.375494 | + | 1.15565i | 0.943145 | + | 0.332382i | \(0.107852\pi\) |
−0.567651 | + | 0.823269i | \(0.692148\pi\) | |||||||
\(644\) | 0.277486 | − | 0.854015i | 0.0109345 | − | 0.0336529i | ||||
\(645\) | 72.3668 | 2.84944 | ||||||||
\(646\) | 1.35841 | 0.0534459 | ||||||||
\(647\) | −2.75525 | + | 8.47978i | −0.108320 | + | 0.333375i | −0.990495 | − | 0.137547i | \(-0.956078\pi\) |
0.882175 | + | 0.470921i | \(0.156078\pi\) | |||||||
\(648\) | 4.11730 | + | 2.99139i | 0.161743 | + | 0.117513i | ||||
\(649\) | 23.6317 | − | 17.1694i | 0.927623 | − | 0.673958i | ||||
\(650\) | −3.87809 | −0.152111 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.86949 | −0.229867 | ||||||||
\(653\) | −31.7469 | + | 23.0655i | −1.24235 | + | 0.902623i | −0.997753 | − | 0.0670010i | \(-0.978657\pi\) |
−0.244601 | + | 0.969624i | \(0.578657\pi\) | |||||||
\(654\) | 0.519971 | + | 0.377781i | 0.0203325 | + | 0.0147724i | ||||
\(655\) | 5.31417 | − | 16.3553i | 0.207642 | − | 0.639056i | ||||
\(656\) | −22.7435 | −0.887986 | ||||||||
\(657\) | −77.1304 | −3.00914 | ||||||||
\(658\) | 0.935679 | − | 2.87973i | 0.0364766 | − | 0.112263i | ||||
\(659\) | 10.1832 | + | 31.3407i | 0.396681 | + | 1.22086i | 0.927644 | + | 0.373465i | \(0.121830\pi\) |
−0.530963 | + | 0.847395i | \(0.678170\pi\) | |||||||
\(660\) | −12.1283 | − | 37.3272i | −0.472095 | − | 1.45296i | ||||
\(661\) | 0.137270 | − | 0.0997326i | 0.00533919 | − | 0.00387915i | −0.585112 | − | 0.810952i | \(-0.698950\pi\) |
0.590452 | + | 0.807073i | \(0.298950\pi\) | |||||||
\(662\) | −2.13370 | + | 6.56686i | −0.0829287 | + | 0.255228i | ||||
\(663\) | 12.2741 | − | 8.91768i | 0.476688 | − | 0.346334i | ||||
\(664\) | −14.1665 | − | 10.2926i | −0.549769 | − | 0.399430i | ||||
\(665\) | −2.10606 | − | 6.48179i | −0.0816695 | − | 0.251353i | ||||
\(666\) | 4.80539 | + | 3.49132i | 0.186205 | + | 0.135286i | ||||
\(667\) | −1.13021 | − | 0.821147i | −0.0437620 | − | 0.0317950i | ||||
\(668\) | −7.74411 | − | 23.8339i | −0.299629 | − | 0.922162i | ||||
\(669\) | −14.6566 | − | 10.6486i | −0.566656 | − | 0.411700i | ||||
\(670\) | 5.44191 | − | 3.95378i | 0.210239 | − | 0.152748i | ||||
\(671\) | 10.8456 | − | 33.3794i | 0.418690 | − | 1.28860i | ||||
\(672\) | 9.81602 | − | 7.13176i | 0.378661 | − | 0.275113i | ||||
\(673\) | 4.50743 | + | 13.8724i | 0.173749 | + | 0.534743i | 0.999574 | − | 0.0291825i | \(-0.00929039\pi\) |
−0.825825 | + | 0.563926i | \(0.809290\pi\) | |||||||
\(674\) | −2.08278 | − | 6.41015i | −0.0802258 | − | 0.246910i | ||||
\(675\) | 8.14092 | − | 25.0552i | 0.313344 | − | 0.964374i | ||||
\(676\) | 8.89857 | 0.342253 | ||||||||
\(677\) | −15.7668 | −0.605968 | −0.302984 | − | 0.952996i | \(-0.597983\pi\) | ||||
−0.302984 | + | 0.952996i | \(0.597983\pi\) | |||||||
\(678\) | −3.55065 | + | 10.9278i | −0.136362 | + | 0.419679i | ||||
\(679\) | 2.98782 | + | 2.17078i | 0.114662 | + | 0.0833067i | ||||
\(680\) | 5.97963 | − | 4.34445i | 0.229308 | − | 0.166602i | ||||
\(681\) | −22.7051 | −0.870063 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 20.5935 | 0.787988 | 0.393994 | − | 0.919113i | \(-0.371093\pi\) | ||||
0.393994 | + | 0.919113i | \(0.371093\pi\) | |||||||
\(684\) | 17.2724 | − | 12.5492i | 0.660428 | − | 0.479829i | ||||
\(685\) | 28.3967 | + | 20.6314i | 1.08498 | + | 0.788285i | ||||
\(686\) | 1.50763 | − | 4.64001i | 0.0575616 | − | 0.177156i | ||||
\(687\) | −36.9560 | −1.40996 | ||||||||
\(688\) | 27.5440 | 1.05011 | ||||||||
\(689\) | −4.41961 | + | 13.6022i | −0.168374 | + | 0.518201i | ||||
\(690\) | 0.413123 | + | 1.27146i | 0.0157273 | + | 0.0484037i | ||||
\(691\) | −1.83918 | − | 5.66041i | −0.0699657 | − | 0.215332i | 0.909960 | − | 0.414697i | \(-0.136112\pi\) |
−0.979925 | + | 0.199364i | \(0.936112\pi\) | |||||||
\(692\) | 28.9121 | − | 21.0059i | 1.09907 | − | 0.798524i | ||||
\(693\) | −4.36694 | + | 13.4401i | −0.165886 | + | 0.510546i | ||||
\(694\) | 3.03078 | − | 2.20199i | 0.115047 | − | 0.0835866i | ||||
\(695\) | −37.0960 | − | 26.9518i | −1.40713 | − | 1.02234i | ||||
\(696\) | −3.84790 | − | 11.8426i | −0.145854 | − | 0.448894i | ||||
\(697\) | 10.2545 | + | 7.45032i | 0.388417 | + | 0.282201i | ||||
\(698\) | 5.31713 | + | 3.86312i | 0.201256 | + | 0.146221i | ||||
\(699\) | 11.3704 | + | 34.9945i | 0.430068 | + | 1.32361i | ||||
\(700\) | −6.30848 | − | 4.58338i | −0.238438 | − | 0.173236i | ||||
\(701\) | 21.5445 | − | 15.6530i | 0.813723 | − | 0.591204i | −0.101185 | − | 0.994868i | \(-0.532263\pi\) |
0.914908 | + | 0.403663i | \(0.132263\pi\) | |||||||
\(702\) | −2.14096 | + | 6.58918i | −0.0808052 | + | 0.248693i | ||||
\(703\) | 5.39265 | − | 3.91799i | 0.203388 | − | 0.147770i | ||||
\(704\) | −3.89682 | − | 11.9932i | −0.146867 | − | 0.452010i | ||||
\(705\) | −21.1655 | − | 65.1407i | −0.797138 | − | 2.45334i | ||||
\(706\) | 1.37510 | − | 4.23213i | 0.0517526 | − | 0.159278i | ||||
\(707\) | −19.1723 | −0.721050 | ||||||||
\(708\) | 65.2266 | 2.45137 | ||||||||
\(709\) | 0.816662 | − | 2.51343i | 0.0306704 | − | 0.0943938i | −0.934550 | − | 0.355833i | \(-0.884197\pi\) |
0.965220 | + | 0.261439i | \(0.0841971\pi\) | |||||||
\(710\) | −1.41836 | − | 1.03050i | −0.0532302 | − | 0.0386740i | ||||
\(711\) | −14.9812 | + | 10.8845i | −0.561839 | + | 0.408200i | ||||
\(712\) | 3.07802 | 0.115354 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −2.00779 | −0.0751398 | ||||||||
\(715\) | 16.8063 | − | 12.2105i | 0.628519 | − | 0.456646i | ||||
\(716\) | 0.120432 | + | 0.0874991i | 0.00450076 | + | 0.00326999i | ||||
\(717\) | 22.7315 | − | 69.9605i | 0.848925 | − | 2.61272i | ||||
\(718\) | −7.96983 | −0.297431 | ||||||||
\(719\) | −5.19824 | −0.193862 | −0.0969308 | − | 0.995291i | \(-0.530903\pi\) | ||||
−0.0969308 | + | 0.995291i | \(0.530903\pi\) | |||||||
\(720\) | 16.1579 | − | 49.7290i | 0.602170 | − | 1.85329i | ||||
\(721\) | −2.69986 | − | 8.30930i | −0.100548 | − | 0.309455i | ||||
\(722\) | −1.57608 | − | 4.85068i | −0.0586557 | − | 0.180524i | ||||
\(723\) | 5.52640 | − | 4.01517i | 0.205529 | − | 0.149326i | ||||
\(724\) | 1.25417 | − | 3.85994i | 0.0466109 | − | 0.143454i | ||||
\(725\) | −9.81449 | + | 7.13065i | −0.364501 | + | 0.264826i | ||||
\(726\) | 4.18578 | + | 3.04115i | 0.155349 | + | 0.112868i | ||||
\(727\) | 7.48020 | + | 23.0217i | 0.277425 | + | 0.853827i | 0.988567 | + | 0.150779i | \(0.0481782\pi\) |
−0.711142 | + | 0.703048i | \(0.751822\pi\) | |||||||
\(728\) | 3.42729 | + | 2.49007i | 0.127024 | + | 0.0922882i | ||||
\(729\) | 31.9419 | + | 23.2071i | 1.18303 | + | 0.859524i | ||||
\(730\) | −4.63673 | − | 14.2704i | −0.171613 | − | 0.528171i | ||||
\(731\) | −12.4189 | − | 9.02287i | −0.459330 | − | 0.333723i | ||||
\(732\) | 63.4042 | − | 46.0659i | 2.34349 | − | 1.70264i | ||||
\(733\) | 12.4728 | − | 38.3873i | 0.460693 | − | 1.41787i | −0.403627 | − | 0.914923i | \(-0.632251\pi\) |
0.864320 | − | 0.502942i | \(-0.167749\pi\) | |||||||
\(734\) | 2.47914 | − | 1.80120i | 0.0915066 | − | 0.0664834i | ||||
\(735\) | −15.4952 | − | 47.6893i | −0.571549 | − | 1.75905i | ||||
\(736\) | 0.529571 | + | 1.62985i | 0.0195202 | + | 0.0600771i | ||||
\(737\) | −4.83678 | + | 14.8861i | −0.178165 | + | 0.548336i | ||||
\(738\) | −13.1117 | −0.482647 | ||||||||
\(739\) | −6.09785 | −0.224313 | −0.112157 | − | 0.993691i | \(-0.535776\pi\) | ||||
−0.112157 | + | 0.993691i | \(0.535776\pi\) | |||||||
\(740\) | 5.42526 | − | 16.6972i | 0.199437 | − | 0.613803i | ||||
\(741\) | 14.2484 | + | 10.3521i | 0.523428 | + | 0.380293i | ||||
\(742\) | 1.53125 | − | 1.11251i | 0.0562138 | − | 0.0408417i | ||||
\(743\) | −16.2263 | −0.595284 | −0.297642 | − | 0.954678i | \(-0.596200\pi\) | ||||
−0.297642 | + | 0.954678i | \(0.596200\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −35.5308 | −1.30175 | ||||||||
\(746\) | −7.22540 | + | 5.24956i | −0.264541 | + | 0.192200i | ||||
\(747\) | 55.8534 | + | 40.5798i | 2.04357 | + | 1.48474i | ||||
\(748\) | −2.57269 | + | 7.91793i | −0.0940670 | + | 0.289508i | ||||
\(749\) | 13.1491 | 0.480458 | ||||||||
\(750\) | −3.50659 | −0.128043 | ||||||||
\(751\) | 11.2620 | − | 34.6607i | 0.410955 | − | 1.26479i | −0.504865 | − | 0.863198i | \(-0.668458\pi\) |
0.915820 | − | 0.401590i | \(-0.131542\pi\) | |||||||
\(752\) | −8.05593 | − | 24.7936i | −0.293770 | − | 0.904130i | ||||
\(753\) | −2.10701 | − | 6.48472i | −0.0767838 | − | 0.236316i | ||||
\(754\) | 2.58108 | − | 1.87527i | 0.0939975 | − | 0.0682932i | ||||
\(755\) | 3.97108 | − | 12.2217i | 0.144522 | − | 0.444794i | ||||
\(756\) | −11.2702 | + | 8.18829i | −0.409894 | + | 0.297805i | ||||
\(757\) | 35.2426 | + | 25.6052i | 1.28091 | + | 0.930637i | 0.999580 | − | 0.0289730i | \(-0.00922370\pi\) |
0.281332 | + | 0.959610i | \(0.409224\pi\) | |||||||
\(758\) | 2.39980 | + | 7.38582i | 0.0871646 | + | 0.268265i | ||||
\(759\) | −2.51672 | − | 1.82851i | −0.0913512 | − | 0.0663705i | ||||
\(760\) | 6.94144 | + | 5.04325i | 0.251792 | + | 0.182938i | ||||
\(761\) | −1.01953 | − | 3.13780i | −0.0369580 | − | 0.113745i | 0.930875 | − | 0.365337i | \(-0.119046\pi\) |
−0.967834 | + | 0.251591i | \(0.919046\pi\) | |||||||
\(762\) | 0.0969080 | + | 0.0704078i | 0.00351061 | + | 0.00255061i | ||||
\(763\) | −0.553379 | + | 0.402053i | −0.0200337 | + | 0.0145553i | ||||
\(764\) | 3.09748 | − | 9.53307i | 0.112063 | − | 0.344894i | ||||
\(765\) | −23.5754 | + | 17.1285i | −0.852371 | + | 0.619284i | ||||
\(766\) | 2.89335 | + | 8.90482i | 0.104541 | + | 0.321744i | ||||
\(767\) | 10.6685 | + | 32.8342i | 0.385216 | + | 1.18557i | ||||
\(768\) | 6.26630 | − | 19.2857i | 0.226116 | − | 0.695912i | ||||
\(769\) | −45.7136 | −1.64847 | −0.824237 | − | 0.566244i | \(-0.808396\pi\) | ||||
−0.824237 | + | 0.566244i | \(0.808396\pi\) | |||||||
\(770\) | −2.74916 | −0.0990727 | ||||||||
\(771\) | −23.2585 | + | 71.5823i | −0.837635 | + | 2.57798i | ||||
\(772\) | −3.23917 | − | 2.35339i | −0.116580 | − | 0.0847005i | ||||
\(773\) | 24.2710 | − | 17.6339i | 0.872969 | − | 0.634249i | −0.0584131 | − | 0.998292i | \(-0.518604\pi\) |
0.931382 | + | 0.364044i | \(0.118604\pi\) | |||||||
\(774\) | 15.8791 | 0.570764 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −4.64943 | −0.166905 | ||||||||
\(777\) | −7.97058 | + | 5.79097i | −0.285943 | + | 0.207750i | ||||
\(778\) | −3.68331 | − | 2.67608i | −0.132053 | − | 0.0959423i | ||||
\(779\) | −4.54689 | + | 13.9939i | −0.162909 | + | 0.501383i | ||||
\(780\) | 46.3877 | 1.66094 | ||||||||
\(781\) | 4.07953 | 0.145977 | ||||||||
\(782\) | 0.0876325 | − | 0.269705i | 0.00313373 | − | 0.00964464i | ||||
\(783\) | 6.69730 | + | 20.6122i | 0.239342 | + | 0.736619i | ||||
\(784\) | −5.89773 | − | 18.1514i | −0.210633 | − | 0.648263i | ||||
\(785\) | 20.9376 | − | 15.2121i | 0.747295 | − | 0.542941i | ||||
\(786\) | 1.81736 | − | 5.59326i | 0.0648231 | − | 0.199505i | ||||
\(787\) | −34.9754 | + | 25.4111i | −1.24674 | + | 0.905809i | −0.998028 | − | 0.0627693i | \(-0.980007\pi\) |
−0.248710 | + | 0.968578i | \(0.580007\pi\) | |||||||
\(788\) | 8.92004 | + | 6.48079i | 0.317763 | + | 0.230869i | ||||
\(789\) | −20.5061 | − | 63.1114i | −0.730038 | − | 2.24682i | ||||
\(790\) | −2.91441 | − | 2.11744i | −0.103690 | − | 0.0753352i | ||||
\(791\) | −9.89298 | − | 7.18767i | −0.351754 | − | 0.255564i | ||||
\(792\) | −5.49770 | − | 16.9202i | −0.195352 | − | 0.601232i | ||||
\(793\) | 33.5593 | + | 24.3822i | 1.19172 | + | 0.865839i | ||||
\(794\) | 0.832262 | − | 0.604674i | 0.0295359 | − | 0.0214591i | ||||
\(795\) | 13.2303 | − | 40.7188i | 0.469231 | − | 1.44415i | ||||
\(796\) | −10.5175 | + | 7.64138i | −0.372781 | + | 0.270841i | ||||
\(797\) | −7.05292 | − | 21.7067i | −0.249827 | − | 0.768890i | −0.994805 | − | 0.101800i | \(-0.967540\pi\) |
0.744977 | − | 0.667090i | \(-0.232460\pi\) | |||||||
\(798\) | −0.720239 | − | 2.21667i | −0.0254962 | − | 0.0784691i | ||||
\(799\) | −4.48967 | + | 13.8178i | −0.158833 | + | 0.488838i | ||||
\(800\) | 14.8816 | 0.526144 | ||||||||
\(801\) | −12.1355 | −0.428786 | ||||||||
\(802\) | 1.33299 | − | 4.10252i | 0.0470695 | − | 0.144865i | ||||
\(803\) | 28.2467 | + | 20.5225i | 0.996805 | + | 0.724222i | ||||
\(804\) | −28.2762 | + | 20.5438i | −0.997223 | + | 0.724525i | ||||
\(805\) | −1.42279 | −0.0501467 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 49.3229 | 1.73625 | ||||||||
\(808\) | 19.5270 | − | 14.1872i | 0.686959 | − | 0.499105i | ||||
\(809\) | −17.1822 | − | 12.4836i | −0.604095 | − | 0.438901i | 0.243235 | − | 0.969967i | \(-0.421791\pi\) |
−0.847330 | + | 0.531066i | \(0.821791\pi\) | |||||||
\(810\) | 1.20622 | − | 3.71236i | 0.0423822 | − | 0.130439i | ||||
\(811\) | 2.12314 | 0.0745534 | 0.0372767 | − | 0.999305i | \(-0.488132\pi\) | ||||
0.0372767 | + | 0.999305i | \(0.488132\pi\) | |||||||
\(812\) | 6.41495 | 0.225121 | ||||||||
\(813\) | −6.47893 | + | 19.9401i | −0.227226 | + | 0.699330i | ||||
\(814\) | −0.830879 | − | 2.55718i | −0.0291223 | − | 0.0896292i | ||||
\(815\) | 2.87385 | + | 8.84480i | 0.100667 | + | 0.309820i | ||||
\(816\) | −13.9851 | + | 10.1608i | −0.489576 | + | 0.355698i | ||||
\(817\) | 5.50660 | − | 16.9476i | 0.192651 | − | 0.592920i | ||||
\(818\) | −4.88943 | + | 3.55238i | −0.170955 | + | 0.124206i | ||||
\(819\) | −13.5125 | − | 9.81741i | −0.472165 | − | 0.343048i | ||||
\(820\) | 11.9759 | + | 36.8580i | 0.418216 | + | 1.28714i | ||||
\(821\) | 33.8104 | + | 24.5647i | 1.17999 | + | 0.857313i | 0.992171 | − | 0.124891i | \(-0.0398580\pi\) |
0.187819 | + | 0.982204i | \(0.439858\pi\) | |||||||
\(822\) | 9.71121 | + | 7.05561i | 0.338717 | + | 0.246093i | ||||
\(823\) | −5.03651 | − | 15.5008i | −0.175562 | − | 0.540324i | 0.824097 | − | 0.566449i | \(-0.191683\pi\) |
−0.999659 | + | 0.0261251i | \(0.991683\pi\) | |||||||
\(824\) | 8.89855 | + | 6.46518i | 0.309996 | + | 0.225225i | ||||
\(825\) | −21.8546 | + | 15.8783i | −0.760880 | + | 0.552812i | ||||
\(826\) | 1.41185 | − | 4.34522i | 0.0491244 | − | 0.151189i | ||||
\(827\) | −25.1519 | + | 18.2740i | −0.874619 | + | 0.635448i | −0.931822 | − | 0.362915i | \(-0.881782\pi\) |
0.0572034 | + | 0.998363i | \(0.481782\pi\) | |||||||
\(828\) | −1.37731 | − | 4.23891i | −0.0478647 | − | 0.147312i | ||||
\(829\) | 8.66756 | + | 26.6760i | 0.301037 | + | 0.926496i | 0.981126 | + | 0.193367i | \(0.0619409\pi\) |
−0.680090 | + | 0.733129i | \(0.738059\pi\) | |||||||
\(830\) | −4.15029 | + | 12.7733i | −0.144059 | + | 0.443367i | ||||
\(831\) | −43.6982 | −1.51587 | ||||||||
\(832\) | 14.9043 | 0.516714 | ||||||||
\(833\) | −3.28688 | + | 10.1160i | −0.113884 | + | 0.350498i | ||||
\(834\) | −12.6862 | − | 9.21708i | −0.439288 | − | 0.319162i | ||||
\(835\) | −32.1239 | + | 23.3394i | −1.11169 | + | 0.807692i | ||||
\(836\) | −9.66453 | −0.334255 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 8.13409 | 0.280987 | ||||||||
\(839\) | 18.6621 | − | 13.5588i | 0.644287 | − | 0.468102i | −0.217034 | − | 0.976164i | \(-0.569638\pi\) |
0.861320 | + | 0.508062i | \(0.169638\pi\) | |||||||
\(840\) | −10.2598 | − | 7.45415i | −0.353995 | − | 0.257193i | ||||
\(841\) | −5.87746 | + | 18.0890i | −0.202671 | + | 0.623757i | ||||
\(842\) | 10.2556 | 0.353431 | ||||||||
\(843\) | −7.19585 | −0.247838 | ||||||||
\(844\) | −9.68888 | + | 29.8193i | −0.333505 | + | 1.02642i | ||||
\(845\) | −4.35696 | − | 13.4093i | −0.149884 | − | 0.461296i | ||||
\(846\) | −4.64425 | − | 14.2935i | −0.159673 | − | 0.491422i | ||||
\(847\) | −4.45472 | + | 3.23654i | −0.153066 | + | 0.111209i | ||||
\(848\) | 5.03568 | − | 15.4982i | 0.172926 | − | 0.532212i | ||||
\(849\) | 11.0631 | − | 8.03781i | 0.379684 | − | 0.275857i | ||||
\(850\) | −1.99227 | − | 1.44747i | −0.0683343 | − | 0.0496478i | ||||
\(851\) | −0.430010 | − | 1.32344i | −0.0147406 | − | 0.0453668i | ||||
\(852\) | 7.36982 | + | 5.35449i | 0.252486 | + | 0.183442i | ||||
\(853\) | −24.2874 | − | 17.6458i | −0.831585 | − | 0.604182i | 0.0884221 | − | 0.996083i | \(-0.471818\pi\) |
−0.920007 | + | 0.391901i | \(0.871818\pi\) | |||||||
\(854\) | −1.69638 | − | 5.22092i | −0.0580489 | − | 0.178656i | ||||
\(855\) | −27.3675 | − | 19.8836i | −0.935947 | − | 0.680006i | ||||
\(856\) | −13.3924 | + | 9.73013i | −0.457742 | + | 0.332569i | ||||
\(857\) | −16.8684 | + | 51.9157i | −0.576215 | + | 1.77341i | 0.0557914 | + | 0.998442i | \(0.482232\pi\) |
−0.632006 | + | 0.774964i | \(0.717768\pi\) | |||||||
\(858\) | 5.74748 | − | 4.17579i | 0.196216 | − | 0.142559i | ||||
\(859\) | −2.88511 | − | 8.87945i | −0.0984386 | − | 0.302963i | 0.889696 | − | 0.456554i | \(-0.150916\pi\) |
−0.988135 | + | 0.153591i | \(0.950916\pi\) | |||||||
\(860\) | −14.5036 | − | 44.6376i | −0.494570 | − | 1.52213i | ||||
\(861\) | 6.72051 | − | 20.6836i | 0.229034 | − | 0.704895i | ||||
\(862\) | 10.6668 | 0.363311 | ||||||||
\(863\) | −13.3167 | −0.453307 | −0.226653 | − | 0.973975i | \(-0.572778\pi\) | ||||
−0.226653 | + | 0.973975i | \(0.572778\pi\) | |||||||
\(864\) | 8.21560 | − | 25.2850i | 0.279500 | − | 0.860214i | ||||
\(865\) | −45.8101 | − | 33.2830i | −1.55759 | − | 1.13166i | ||||
\(866\) | −3.93491 | + | 2.85888i | −0.133714 | + | 0.0971487i | ||||
\(867\) | −39.5520 | −1.34326 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 8.38250 | 0.284357 | ||||||||
\(870\) | −7.72660 | + | 5.61370i | −0.261956 | + | 0.190322i | ||||
\(871\) | −14.9663 | − | 10.8737i | −0.507114 | − | 0.368440i | ||||
\(872\) | 0.266104 | − | 0.818983i | 0.00901141 | − | 0.0277343i | ||||
\(873\) | 18.3309 | 0.620409 | ||||||||
\(874\) | 0.329199 | 0.0111353 | ||||||||
\(875\) | 1.15322 | − | 3.54924i | 0.0389858 | − | 0.119986i | ||||
\(876\) | 24.0925 | + | 74.1490i | 0.814010 | + | 2.50526i | ||||
\(877\) | −13.1536 | − | 40.4827i | −0.444167 | − | 1.36700i | −0.883395 | − | 0.468629i | \(-0.844748\pi\) |
0.439228 | − | 0.898375i | \(-0.355252\pi\) | |||||||
\(878\) | −3.67338 | + | 2.66887i | −0.123971 | + | 0.0900700i | ||||
\(879\) | −9.43151 | + | 29.0272i | −0.318117 | + | 0.979064i | ||||
\(880\) | −19.1490 | + | 13.9126i | −0.645512 | + | 0.468992i | ||||
\(881\) | −4.67056 | − | 3.39336i | −0.157355 | − | 0.114325i | 0.506321 | − | 0.862345i | \(-0.331005\pi\) |
−0.663677 | + | 0.748020i | \(0.731005\pi\) | |||||||
\(882\) | −3.40005 | − | 10.4643i | −0.114486 | − | 0.352350i | ||||
\(883\) | 22.0029 | + | 15.9860i | 0.740457 | + | 0.537973i | 0.892854 | − | 0.450346i | \(-0.148699\pi\) |
−0.152397 | + | 0.988319i | \(0.548699\pi\) | |||||||
\(884\) | −7.96061 | − | 5.78372i | −0.267744 | − | 0.194528i | ||||
\(885\) | −31.9366 | − | 98.2907i | −1.07354 | − | 3.30401i | ||||
\(886\) | −6.75483 | − | 4.90767i | −0.226933 | − | 0.164876i | ||||
\(887\) | 5.96382 | − | 4.33297i | 0.200246 | − | 0.145487i | −0.483144 | − | 0.875541i | \(-0.660505\pi\) |
0.683389 | + | 0.730054i | \(0.260505\pi\) | |||||||
\(888\) | 3.83282 | − | 11.7962i | 0.128621 | − | 0.395855i | ||||
\(889\) | −0.103134 | + | 0.0749315i | −0.00345902 | + | 0.00251312i | ||||
\(890\) | −0.729530 | − | 2.24526i | −0.0244539 | − | 0.0752613i | ||||
\(891\) | 2.80677 | + | 8.63835i | 0.0940304 | + | 0.289396i | ||||
\(892\) | −3.63089 | + | 11.1747i | −0.121571 | + | 0.374157i | ||||
\(893\) | −16.8658 | −0.564393 | ||||||||
\(894\) | −12.1510 | −0.406389 | ||||||||
\(895\) | 0.0728867 | − | 0.224322i | 0.00243633 | − | 0.00749826i | ||||
\(896\) | −8.38108 | − | 6.08921i | −0.279992 | − | 0.203426i | ||||
\(897\) | 2.97453 | − | 2.16112i | 0.0993166 | − | 0.0721578i | ||||
\(898\) | 6.82232 | 0.227664 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −38.7040 | −1.29013 | ||||||||
\(901\) | −7.34737 | + | 5.33818i | −0.244776 | + | 0.177841i | ||||
\(902\) | 4.80176 | + | 3.48868i | 0.159881 | + | 0.116160i | ||||
\(903\) | −8.13900 | + | 25.0493i | −0.270849 | + | 0.833588i | ||||
\(904\) | 15.3948 | 0.512022 | ||||||||
\(905\) | −6.43065 | −0.213762 | ||||||||
\(906\) | 1.35805 | − | 4.17963i | 0.0451180 | − | 0.138859i | ||||
\(907\) | 5.09354 | + | 15.6763i | 0.169128 | + | 0.520523i | 0.999317 | − | 0.0369599i | \(-0.0117674\pi\) |
−0.830189 | + | 0.557482i | \(0.811767\pi\) | |||||||
\(908\) | 4.55053 | + | 14.0051i | 0.151015 | + | 0.464775i | ||||
\(909\) | −76.9877 | + | 55.9349i | −2.55352 | + | 1.85524i | ||||
\(910\) | 1.00407 | − | 3.09021i | 0.0332847 | − | 0.102440i | ||||
\(911\) | 36.2496 | − | 26.3369i | 1.20100 | − | 0.872581i | 0.206621 | − | 0.978421i | \(-0.433753\pi\) |
0.994383 | + | 0.105840i | \(0.0337532\pi\) | |||||||
\(912\) | −16.2346 | − | 11.7951i | −0.537580 | − | 0.390575i | ||||
\(913\) | −9.65737 | − | 29.7223i | −0.319612 | − | 0.983665i | ||||
\(914\) | 6.92078 | + | 5.02824i | 0.228919 | + | 0.166319i | ||||
\(915\) | −100.461 | − | 72.9895i | −3.32115 | − | 2.41296i | ||||
\(916\) | 7.40666 | + | 22.7953i | 0.244723 | + | 0.753179i | ||||
\(917\) | 5.06361 | + | 3.67893i | 0.167215 | + | 0.121489i | ||||
\(918\) | −3.55923 | + | 2.58593i | −0.117472 | + | 0.0853484i | ||||
\(919\) | −3.20043 | + | 9.84992i | −0.105573 | + | 0.324919i | −0.989864 | − | 0.142016i | \(-0.954642\pi\) |
0.884292 | + | 0.466935i | \(0.154642\pi\) | |||||||
\(920\) | 1.44911 | − | 1.05284i | 0.0477757 | − | 0.0347111i | ||||
\(921\) | 2.36796 | + | 7.28784i | 0.0780270 | + | 0.240143i | ||||
\(922\) | 4.16401 | + | 12.8155i | 0.137134 | + | 0.422056i | ||||
\(923\) | −1.48997 | + | 4.58564i | −0.0490428 | + | 0.150938i | ||||
\(924\) | 14.2846 | 0.469929 | ||||||||
\(925\) | −12.0838 | −0.397314 | ||||||||
\(926\) | 0.716131 | − | 2.20402i | 0.0235335 | − | 0.0724287i | ||||
\(927\) | −35.0836 | − | 25.4897i | −1.15230 | − | 0.837193i | ||||
\(928\) | −9.90452 | + | 7.19606i | −0.325132 | + | 0.236222i | ||||
\(929\) | −44.0624 | −1.44564 | −0.722820 | − | 0.691037i | \(-0.757154\pi\) | ||||
−0.722820 | + | 0.691037i | \(0.757154\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.3474 | −0.404671 | ||||||||
\(932\) | 19.3066 | − | 14.0271i | 0.632409 | − | 0.459472i | ||||
\(933\) | −12.9040 | − | 9.37531i | −0.422458 | − | 0.306934i | ||||
\(934\) | 4.17034 | − | 12.8350i | 0.136458 | − | 0.419974i | ||||
\(935\) | 13.1913 | 0.431401 | ||||||||
\(936\) | 21.0272 | 0.687296 | ||||||||
\(937\) | −10.6818 | + | 32.8751i | −0.348958 | + | 1.07398i | 0.610472 | + | 0.792038i | \(0.290980\pi\) |
−0.959430 | + | 0.281945i | \(0.909020\pi\) | |||||||
\(938\) | 0.756528 | + | 2.32835i | 0.0247015 | + | 0.0760235i | ||||
\(939\) | 23.8499 | + | 73.4024i | 0.778312 | + | 2.39540i | ||||
\(940\) | −35.9384 | + | 26.1108i | −1.17218 | + | 0.851639i | ||||
\(941\) | 6.84444 | − | 21.0650i | 0.223122 | − | 0.686700i | −0.775354 | − | 0.631526i | \(-0.782429\pi\) |
0.998477 | − | 0.0551736i | \(-0.0175712\pi\) | |||||||
\(942\) | 7.16032 | − | 5.20228i | 0.233296 | − | 0.169499i | ||||
\(943\) | 2.48509 | + | 1.80552i | 0.0809255 | + | 0.0587958i | ||||
\(944\) | −12.1556 | − | 37.4111i | −0.395631 | − | 1.21763i | ||||
\(945\) | 17.8572 | + | 12.9740i | 0.580894 | + | 0.422044i | ||||
\(946\) | −5.81526 | − | 4.22504i | −0.189071 | − | 0.137368i | ||||
\(947\) | 8.67799 | + | 26.7081i | 0.281997 | + | 0.867897i | 0.987283 | + | 0.158974i | \(0.0508185\pi\) |
−0.705286 | + | 0.708923i | \(0.749181\pi\) | |||||||
\(948\) | 15.1433 | + | 11.0022i | 0.491831 | + | 0.357336i | ||||
\(949\) | −33.3850 | + | 24.2556i | −1.08372 | + | 0.787371i | ||||
\(950\) | 0.883382 | − | 2.71877i | 0.0286607 | − | 0.0882085i | ||||
\(951\) | −25.1399 | + | 18.2652i | −0.815217 | + | 0.592290i | ||||
\(952\) | 0.831282 | + | 2.55842i | 0.0269420 | + | 0.0829189i | ||||
\(953\) | −2.36916 | − | 7.29152i | −0.0767446 | − | 0.236196i | 0.905323 | − | 0.424723i | \(-0.139629\pi\) |
−0.982068 | + | 0.188527i | \(0.939629\pi\) | |||||||
\(954\) | 2.90307 | − | 8.93474i | 0.0939905 | − | 0.289273i | ||||
\(955\) | −15.8821 | −0.513932 | ||||||||
\(956\) | −47.7092 | −1.54302 | ||||||||
\(957\) | 6.86743 | − | 21.1358i | 0.221992 | − | 0.683222i | ||||
\(958\) | −2.13951 | − | 1.55445i | −0.0691245 | − | 0.0502219i | ||||
\(959\) | −10.3352 | + | 7.50893i | −0.333740 | + | 0.242476i | ||||
\(960\) | −44.6168 | −1.44000 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | 3.17789 | 0.102459 | ||||||||
\(963\) | 52.8011 | − | 38.3622i | 1.70149 | − | 1.23621i | ||||
\(964\) | −3.58424 | − | 2.60411i | −0.115441 | − | 0.0838726i | ||||
\(965\) | −1.96038 | + | 6.03342i | −0.0631067 | + | 0.194223i | ||||
\(966\) | −0.486571 | −0.0156552 | ||||||||
\(967\) | 1.85036 | 0.0595037 | 0.0297518 | − | 0.999557i | \(-0.490528\pi\) | ||||
0.0297518 | + | 0.999557i | \(0.490528\pi\) | |||||||
\(968\) | 2.14214 | − | 6.59283i | 0.0688510 | − | 0.211902i | ||||
\(969\) | 3.45592 | + | 10.6362i | 0.111020 | + | 0.341685i | ||||
\(970\) | 1.10197 | + | 3.39153i | 0.0353822 | + | 0.108895i | ||||
\(971\) | −39.9423 | + | 29.0198i | −1.28181 | + | 0.931290i | −0.999606 | − | 0.0280640i | \(-0.991066\pi\) |
−0.282205 | + | 0.959354i | \(0.591066\pi\) | |||||||
\(972\) | 5.66687 | − | 17.4408i | 0.181765 | − | 0.559415i | ||||
\(973\) | 13.5013 | − | 9.80928i | 0.432832 | − | 0.314471i | ||||
\(974\) | 7.11704 | + | 5.17083i | 0.228045 | + | 0.165684i | ||||
\(975\) | −9.86622 | − | 30.3651i | −0.315972 | − | 0.972462i | ||||
\(976\) | −38.2373 | − | 27.7810i | −1.22395 | − | 0.889248i | ||||
\(977\) | 28.8192 | + | 20.9383i | 0.922007 | + | 0.669877i | 0.944023 | − | 0.329881i | \(-0.107008\pi\) |
−0.0220160 | + | 0.999758i | \(0.507008\pi\) | |||||||
\(978\) | 0.982810 | + | 3.02478i | 0.0314268 | + | 0.0967218i | ||||
\(979\) | 4.44426 | + | 3.22894i | 0.142039 | + | 0.103197i | ||||
\(980\) | −26.3104 | + | 19.1156i | −0.840456 | + | 0.610627i | ||||
\(981\) | −1.04915 | + | 3.22894i | −0.0334967 | + | 0.103092i | ||||
\(982\) | −11.2902 | + | 8.20278i | −0.360283 | + | 0.261761i | ||||
\(983\) | 1.97264 | + | 6.07116i | 0.0629174 | + | 0.193640i | 0.977574 | − | 0.210592i | \(-0.0675390\pi\) |
−0.914657 | + | 0.404231i | \(0.867539\pi\) | |||||||
\(984\) | 8.46068 | + | 26.0393i | 0.269717 | + | 0.830103i | ||||
\(985\) | 5.39849 | − | 16.6149i | 0.172010 | − | 0.529393i | ||||
\(986\) | 2.02590 | 0.0645177 | ||||||||
\(987\) | 24.9284 | 0.793481 | ||||||||
\(988\) | 3.52977 | − | 10.8635i | 0.112297 | − | 0.345614i | ||||
\(989\) | −3.00961 | − | 2.18661i | −0.0957001 | − | 0.0695302i | ||||
\(990\) | −11.0394 | + | 8.02059i | −0.350855 | + | 0.254911i | ||||
\(991\) | 44.2919 | 1.40698 | 0.703489 | − | 0.710706i | \(-0.251624\pi\) | ||||
0.703489 | + | 0.710706i | \(0.251624\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −56.8463 | −1.80396 | ||||||||
\(994\) | 0.516222 | − | 0.375058i | 0.0163736 | − | 0.0118961i | ||||
\(995\) | 16.6645 | + | 12.1075i | 0.528299 | + | 0.383832i | ||||
\(996\) | 21.5649 | − | 66.3699i | 0.683310 | − | 2.10301i | ||||
\(997\) | 5.32316 | 0.168586 | 0.0842931 | − | 0.996441i | \(-0.473137\pi\) | ||||
0.0842931 | + | 0.996441i | \(0.473137\pi\) | |||||||
\(998\) | 8.31281 | 0.263137 | ||||||||
\(999\) | −6.67105 | + | 20.5314i | −0.211063 | + | 0.649584i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))