Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,2,Mod(11,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.p (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.58715302549\) |
Analytic rank: | \(0\) |
Dimension: | \(936\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 263.22 | ||
Character | \(\chi\) | \(=\) | 324.263 |
Dual form | 324.2.p.a.239.22 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{25}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.402236 | + | 1.35580i | −0.284424 | + | 0.958699i | ||||
\(3\) | −1.53000 | + | 0.811843i | −0.883348 | + | 0.468718i | ||||
\(4\) | −1.67641 | − | 1.09071i | −0.838206 | − | 0.545353i | ||||
\(5\) | −0.0601848 | + | 0.119838i | −0.0269155 | + | 0.0535931i | −0.906689 | − | 0.421801i | \(-0.861398\pi\) |
0.879773 | + | 0.475394i | \(0.157694\pi\) | |||||||
\(6\) | −0.485279 | − | 2.40094i | −0.198114 | − | 0.980179i | ||||
\(7\) | −3.38691 | + | 1.01398i | −1.28013 | + | 0.383247i | −0.853459 | − | 0.521159i | \(-0.825500\pi\) |
−0.426673 | + | 0.904406i | \(0.640315\pi\) | |||||||
\(8\) | 2.15310 | − | 1.83417i | 0.761235 | − | 0.648476i | ||||
\(9\) | 1.68182 | − | 2.48425i | 0.560607 | − | 0.828082i | ||||
\(10\) | −0.138268 | − | 0.129802i | −0.0437243 | − | 0.0410470i | ||||
\(11\) | 0.107632 | − | 1.84797i | 0.0324523 | − | 0.557184i | −0.942422 | − | 0.334427i | \(-0.891457\pi\) |
0.974874 | − | 0.222757i | \(-0.0715058\pi\) | |||||||
\(12\) | 3.45040 | + | 0.307800i | 0.996045 | + | 0.0888542i | ||||
\(13\) | 0.0748364 | − | 0.100523i | 0.0207559 | − | 0.0278800i | −0.791624 | − | 0.611008i | \(-0.790764\pi\) |
0.812380 | + | 0.583128i | \(0.198172\pi\) | |||||||
\(14\) | −0.0124147 | − | 4.99985i | −0.00331798 | − | 1.33627i | ||||
\(15\) | −0.00520656 | − | 0.232213i | −0.00134433 | − | 0.0599571i | ||||
\(16\) | 1.62072 | + | 3.65695i | 0.405180 | + | 0.914237i | ||||
\(17\) | −2.20889 | − | 2.63245i | −0.535735 | − | 0.638464i | 0.428491 | − | 0.903546i | \(-0.359045\pi\) |
−0.964226 | + | 0.265082i | \(0.914601\pi\) | |||||||
\(18\) | 2.69166 | + | 3.27947i | 0.634431 | + | 0.772979i | ||||
\(19\) | 3.44630 | − | 4.10715i | 0.790637 | − | 0.942244i | −0.208725 | − | 0.977974i | \(-0.566931\pi\) |
0.999361 | + | 0.0357304i | \(0.0113758\pi\) | |||||||
\(20\) | 0.231603 | − | 0.135254i | 0.0517879 | − | 0.0302437i | ||||
\(21\) | 4.35880 | − | 4.30103i | 0.951168 | − | 0.938561i | ||||
\(22\) | 2.46220 | + | 0.889249i | 0.524942 | + | 0.189588i | ||||
\(23\) | 1.49987 | − | 5.00992i | 0.312745 | − | 1.04464i | −0.646700 | − | 0.762745i | \(-0.723851\pi\) |
0.959445 | − | 0.281897i | \(-0.0909636\pi\) | |||||||
\(24\) | −1.80519 | + | 4.55426i | −0.368483 | + | 0.929634i | ||||
\(25\) | 2.97505 | + | 3.99619i | 0.595011 | + | 0.799238i | ||||
\(26\) | 0.106187 | + | 0.141897i | 0.0208250 | + | 0.0278283i | ||||
\(27\) | −0.556373 | + | 5.16628i | −0.107074 | + | 0.994251i | ||||
\(28\) | 6.78381 | + | 1.99429i | 1.28202 | + | 0.376885i | ||||
\(29\) | −5.98430 | − | 2.58137i | −1.11126 | − | 0.479349i | −0.240294 | − | 0.970700i | \(-0.577244\pi\) |
−0.870962 | + | 0.491351i | \(0.836503\pi\) | |||||||
\(30\) | 0.316930 | + | 0.0863453i | 0.0578632 | + | 0.0157644i | ||||
\(31\) | −1.69963 | + | 1.60352i | −0.305262 | + | 0.288000i | −0.823594 | − | 0.567179i | \(-0.808035\pi\) |
0.518332 | + | 0.855179i | \(0.326553\pi\) | |||||||
\(32\) | −5.61002 | + | 0.726424i | −0.991721 | + | 0.128415i | ||||
\(33\) | 1.33559 | + | 2.91478i | 0.232496 | + | 0.507399i | ||||
\(34\) | 4.45759 | − | 1.93596i | 0.764470 | − | 0.332014i | ||||
\(35\) | 0.0823282 | − | 0.466906i | 0.0139160 | − | 0.0789216i | ||||
\(36\) | −5.52901 | + | 2.33025i | −0.921501 | + | 0.388375i | ||||
\(37\) | −1.06638 | − | 6.04776i | −0.175312 | − | 0.994245i | −0.937783 | − | 0.347222i | \(-0.887125\pi\) |
0.762471 | − | 0.647023i | \(-0.223986\pi\) | |||||||
\(38\) | 4.18226 | + | 6.32456i | 0.678452 | + | 1.02598i | ||||
\(39\) | −0.0328912 | + | 0.214555i | −0.00526681 | + | 0.0343564i | ||||
\(40\) | 0.0902188 | + | 0.368412i | 0.0142649 | + | 0.0582510i | ||||
\(41\) | 1.04668 | − | 8.95491i | 0.163464 | − | 1.39852i | −0.623645 | − | 0.781708i | \(-0.714349\pi\) |
0.787109 | − | 0.616814i | \(-0.211577\pi\) | |||||||
\(42\) | 4.07809 | + | 7.63971i | 0.629263 | + | 1.17883i | ||||
\(43\) | −3.65095 | + | 5.55100i | −0.556765 | + | 0.846520i | −0.998723 | − | 0.0505155i | \(-0.983914\pi\) |
0.441958 | + | 0.897036i | \(0.354284\pi\) | |||||||
\(44\) | −2.19603 | + | 2.98057i | −0.331064 | + | 0.449338i | ||||
\(45\) | 0.196487 | + | 0.351060i | 0.0292905 | + | 0.0523329i | ||||
\(46\) | 6.18918 | + | 4.04871i | 0.912544 | + | 0.596949i | ||||
\(47\) | 3.06377 | − | 3.24740i | 0.446896 | − | 0.473683i | −0.464286 | − | 0.885685i | \(-0.653689\pi\) |
0.911183 | + | 0.412003i | \(0.135171\pi\) | |||||||
\(48\) | −5.44858 | − | 4.27937i | −0.786434 | − | 0.617674i | ||||
\(49\) | 4.59462 | − | 3.02193i | 0.656374 | − | 0.431704i | ||||
\(50\) | −6.61473 | + | 2.42618i | −0.935464 | + | 0.343114i | ||||
\(51\) | 5.51675 | + | 2.23439i | 0.772499 | + | 0.312877i | ||||
\(52\) | −0.235097 | + | 0.0868930i | −0.0326021 | + | 0.0120499i | ||||
\(53\) | −7.33447 | + | 4.23456i | −1.00747 | + | 0.581661i | −0.910449 | − | 0.413622i | \(-0.864264\pi\) |
−0.0970177 | + | 0.995283i | \(0.530930\pi\) | |||||||
\(54\) | −6.78067 | − | 2.83240i | −0.922733 | − | 0.385440i | ||||
\(55\) | 0.214979 | + | 0.124118i | 0.0289878 | + | 0.0167361i | ||||
\(56\) | −5.43255 | + | 8.39535i | −0.725956 | + | 1.12188i | ||||
\(57\) | −1.93850 | + | 9.08181i | −0.256760 | + | 1.20291i | ||||
\(58\) | 5.90694 | − | 7.07522i | 0.775619 | − | 0.929021i | ||||
\(59\) | −0.676398 | − | 11.6133i | −0.0880596 | − | 1.51192i | −0.696058 | − | 0.717986i | \(-0.745064\pi\) |
0.607998 | − | 0.793938i | \(-0.291973\pi\) | |||||||
\(60\) | −0.244548 | + | 0.394964i | −0.0315710 | + | 0.0509896i | ||||
\(61\) | −14.9993 | − | 3.55489i | −1.92046 | − | 0.455157i | −0.997535 | − | 0.0701734i | \(-0.977645\pi\) |
−0.922923 | − | 0.384984i | \(-0.874207\pi\) | |||||||
\(62\) | −1.49040 | − | 2.94935i | −0.189281 | − | 0.374568i | ||||
\(63\) | −3.17722 | + | 10.1192i | −0.400292 | + | 1.27491i | ||||
\(64\) | 1.27166 | − | 7.89828i | 0.158958 | − | 0.987285i | ||||
\(65\) | 0.00754241 | + | 0.0150182i | 0.000935521 | + | 0.00186277i | ||||
\(66\) | −4.48910 | + | 0.638364i | −0.552570 | + | 0.0785771i | ||||
\(67\) | −8.92825 | + | 3.85127i | −1.09076 | + | 0.470508i | −0.864025 | − | 0.503449i | \(-0.832064\pi\) |
−0.226734 | + | 0.973957i | \(0.572805\pi\) | |||||||
\(68\) | 0.831779 | + | 6.82233i | 0.100868 | + | 0.827329i | ||||
\(69\) | 1.77246 | + | 8.88286i | 0.213379 | + | 1.06937i | ||||
\(70\) | 0.599918 | + | 0.299427i | 0.0717040 | + | 0.0357884i | ||||
\(71\) | 2.56602 | + | 0.933954i | 0.304530 | + | 0.110840i | 0.489765 | − | 0.871854i | \(-0.337082\pi\) |
−0.185235 | + | 0.982694i | \(0.559305\pi\) | |||||||
\(72\) | −0.935398 | − | 8.43357i | −0.110238 | − | 0.993905i | ||||
\(73\) | 3.31821 | − | 1.20773i | 0.388367 | − | 0.141354i | −0.140454 | − | 0.990087i | \(-0.544856\pi\) |
0.528821 | + | 0.848733i | \(0.322634\pi\) | |||||||
\(74\) | 8.62851 | + | 0.986817i | 1.00304 | + | 0.114715i | ||||
\(75\) | −7.79612 | − | 3.69891i | −0.900219 | − | 0.427113i | ||||
\(76\) | −10.2571 | + | 3.12637i | −1.17657 | + | 0.358619i | ||||
\(77\) | 1.50926 | + | 6.36806i | 0.171996 | + | 0.725707i | ||||
\(78\) | −0.277665 | − | 0.130896i | −0.0314394 | − | 0.0148210i | ||||
\(79\) | −0.0491922 | − | 0.420866i | −0.00553456 | − | 0.0473512i | 0.990189 | − | 0.139736i | \(-0.0446252\pi\) |
−0.995723 | + | 0.0923843i | \(0.970551\pi\) | |||||||
\(80\) | −0.535784 | − | 0.0258693i | −0.0599024 | − | 0.00289227i | ||||
\(81\) | −3.34296 | − | 8.35611i | −0.371440 | − | 0.928457i | ||||
\(82\) | 11.7201 | + | 5.02108i | 1.29427 | + | 0.554485i | ||||
\(83\) | −0.754832 | + | 0.0882272i | −0.0828535 | + | 0.00968419i | −0.157419 | − | 0.987532i | \(-0.550317\pi\) |
0.0745651 | + | 0.997216i | \(0.476243\pi\) | |||||||
\(84\) | −11.9983 | + | 2.45613i | −1.30912 | + | 0.267986i | ||||
\(85\) | 0.448409 | − | 0.106275i | 0.0486368 | − | 0.0115271i | ||||
\(86\) | −6.05753 | − | 7.18279i | −0.653201 | − | 0.774540i | ||||
\(87\) | 11.2517 | − | 0.908801i | 1.20631 | − | 0.0974337i | ||||
\(88\) | −3.15775 | − | 4.17628i | −0.336617 | − | 0.445193i | ||||
\(89\) | −3.21873 | − | 8.84339i | −0.341185 | − | 0.937397i | −0.985052 | − | 0.172260i | \(-0.944893\pi\) |
0.643867 | − | 0.765137i | \(-0.277329\pi\) | |||||||
\(90\) | −0.555002 | + | 0.125189i | −0.0585024 | + | 0.0131960i | ||||
\(91\) | −0.151537 | + | 0.416344i | −0.0158854 | + | 0.0436447i | ||||
\(92\) | −7.97876 | + | 6.76278i | −0.831844 | + | 0.705069i | ||||
\(93\) | 1.29863 | − | 3.83322i | 0.134662 | − | 0.397486i | ||||
\(94\) | 3.17049 | + | 5.46009i | 0.327011 | + | 0.563166i | ||||
\(95\) | 0.284776 | + | 0.660186i | 0.0292174 | + | 0.0677336i | ||||
\(96\) | 7.99361 | − | 5.66589i | 0.815844 | − | 0.578272i | ||||
\(97\) | 1.75329 | − | 0.880535i | 0.178019 | − | 0.0894047i | −0.357558 | − | 0.933891i | \(-0.616390\pi\) |
0.535577 | + | 0.844486i | \(0.320094\pi\) | |||||||
\(98\) | 2.24902 | + | 7.44493i | 0.227186 | + | 0.752052i | ||||
\(99\) | −4.40980 | − | 3.37534i | −0.443201 | − | 0.339235i | ||||
\(100\) | −0.628748 | − | 9.94418i | −0.0628748 | − | 0.994418i | ||||
\(101\) | −0.156145 | + | 0.658826i | −0.0155370 | + | 0.0655557i | −0.980261 | − | 0.197707i | \(-0.936650\pi\) |
0.964724 | + | 0.263263i | \(0.0847986\pi\) | |||||||
\(102\) | −5.24843 | + | 6.58088i | −0.519672 | + | 0.651605i | ||||
\(103\) | 4.23309 | − | 0.246549i | 0.417098 | − | 0.0242932i | 0.151687 | − | 0.988429i | \(-0.451529\pi\) |
0.265411 | + | 0.964135i | \(0.414492\pi\) | |||||||
\(104\) | −0.0232454 | − | 0.353698i | −0.00227940 | − | 0.0346829i | ||||
\(105\) | 0.253092 | + | 0.781206i | 0.0246993 | + | 0.0762379i | ||||
\(106\) | −2.79105 | − | 11.6474i | −0.271090 | − | 1.13130i | ||||
\(107\) | −2.07267 | + | 3.58997i | −0.200372 | + | 0.347055i | −0.948648 | − | 0.316332i | \(-0.897549\pi\) |
0.748276 | + | 0.663387i | \(0.230882\pi\) | |||||||
\(108\) | 6.56760 | − | 8.05398i | 0.631968 | − | 0.774994i | ||||
\(109\) | 7.92824 | + | 13.7321i | 0.759388 | + | 1.31530i | 0.943163 | + | 0.332330i | \(0.107835\pi\) |
−0.183775 | + | 0.982968i | \(0.558832\pi\) | |||||||
\(110\) | −0.254752 | + | 0.241545i | −0.0242897 | + | 0.0230304i | ||||
\(111\) | 6.54140 | + | 8.38735i | 0.620882 | + | 0.796092i | ||||
\(112\) | −9.19729 | − | 10.7424i | −0.869062 | − | 1.01506i | ||||
\(113\) | 8.75105 | + | 13.3053i | 0.823229 | + | 1.25166i | 0.965128 | + | 0.261778i | \(0.0843088\pi\) |
−0.141899 | + | 0.989881i | \(0.545321\pi\) | |||||||
\(114\) | −11.5334 | − | 6.28125i | −1.08020 | − | 0.588293i | ||||
\(115\) | 0.510109 | + | 0.481263i | 0.0475679 | + | 0.0448780i | ||||
\(116\) | 7.21663 | + | 10.8546i | 0.670047 | + | 1.00782i | ||||
\(117\) | −0.123862 | − | 0.354973i | −0.0114510 | − | 0.0328173i | ||||
\(118\) | 16.0175 | + | 3.75423i | 1.47453 | + | 0.345604i | ||||
\(119\) | 10.1506 | + | 6.67613i | 0.930500 | + | 0.612000i | ||||
\(120\) | −0.437128 | − | 0.490428i | −0.0399041 | − | 0.0447697i | ||||
\(121\) | 7.52221 | + | 0.879220i | 0.683837 | + | 0.0799291i | ||||
\(122\) | 10.8530 | − | 18.9062i | 0.982582 | − | 1.71168i | ||||
\(123\) | 5.66856 | + | 14.5508i | 0.511117 | + | 1.31200i | ||||
\(124\) | 4.59824 | − | 0.834360i | 0.412934 | − | 0.0749278i | ||||
\(125\) | −1.31827 | + | 0.232447i | −0.117910 | + | 0.0207907i | ||||
\(126\) | −12.4417 | − | 8.37801i | −1.10840 | − | 0.746372i | ||||
\(127\) | −19.8904 | − | 3.50721i | −1.76498 | − | 0.311214i | −0.805420 | − | 0.592704i | \(-0.798060\pi\) |
−0.959564 | + | 0.281490i | \(0.909171\pi\) | |||||||
\(128\) | 10.1970 | + | 4.90110i | 0.901298 | + | 0.433200i | ||||
\(129\) | 1.07942 | − | 11.4571i | 0.0950380 | − | 1.00874i | ||||
\(130\) | −0.0233955 | + | 0.00418519i | −0.00205192 | + | 0.000367065i | ||||
\(131\) | −7.30449 | − | 7.74231i | −0.638196 | − | 0.676448i | 0.324856 | − | 0.945764i | \(-0.394684\pi\) |
−0.963052 | + | 0.269315i | \(0.913203\pi\) | |||||||
\(132\) | 0.940179 | − | 6.34311i | 0.0818321 | − | 0.552097i | ||||
\(133\) | −7.50779 | + | 17.4050i | −0.651008 | + | 1.50921i | ||||
\(134\) | −1.63031 | − | 13.6541i | −0.140837 | − | 1.17953i | ||||
\(135\) | −0.585631 | − | 0.377606i | −0.0504031 | − | 0.0324992i | ||||
\(136\) | −9.58432 | − | 1.61645i | −0.821848 | − | 0.138610i | ||||
\(137\) | 0.936670 | − | 0.697325i | 0.0800251 | − | 0.0595765i | −0.556403 | − | 0.830913i | \(-0.687819\pi\) |
0.636428 | + | 0.771336i | \(0.280411\pi\) | |||||||
\(138\) | −12.7564 | − | 1.16989i | −1.08589 | − | 0.0995878i | ||||
\(139\) | 6.25057 | + | 1.87130i | 0.530166 | + | 0.158721i | 0.540688 | − | 0.841223i | \(-0.318164\pi\) |
−0.0105216 | + | 0.999945i | \(0.503349\pi\) | |||||||
\(140\) | −0.647274 | + | 0.692932i | −0.0547046 | + | 0.0585634i | ||||
\(141\) | −2.05119 | + | 7.45584i | −0.172742 | + | 0.627895i | ||||
\(142\) | −2.29840 | + | 3.10335i | −0.192878 | + | 0.260427i | ||||
\(143\) | −0.177708 | − | 0.149115i | −0.0148607 | − | 0.0124696i | ||||
\(144\) | 11.8105 | + | 2.12407i | 0.984210 | + | 0.177005i | ||||
\(145\) | 0.669510 | − | 0.561786i | 0.0555998 | − | 0.0466538i | ||||
\(146\) | 0.302743 | + | 4.98463i | 0.0250552 | + | 0.412531i | ||||
\(147\) | −4.57645 | + | 8.35367i | −0.377459 | + | 0.688999i | ||||
\(148\) | −4.80863 | + | 11.3016i | −0.395267 | + | 0.928989i | ||||
\(149\) | 9.37564 | + | 6.97991i | 0.768083 | + | 0.571816i | 0.908307 | − | 0.418303i | \(-0.137375\pi\) |
−0.140225 | + | 0.990120i | \(0.544783\pi\) | |||||||
\(150\) | 8.15088 | − | 9.08219i | 0.665516 | − | 0.741558i | ||||
\(151\) | 17.9560 | + | 1.04582i | 1.46124 | + | 0.0851074i | 0.770242 | − | 0.637751i | \(-0.220135\pi\) |
0.690996 | + | 0.722859i | \(0.257172\pi\) | |||||||
\(152\) | −0.112961 | − | 15.1642i | −0.00916235 | − | 1.22998i | ||||
\(153\) | −10.2546 | + | 1.06011i | −0.829037 | + | 0.0857050i | ||||
\(154\) | −9.24092 | − | 0.515202i | −0.744654 | − | 0.0415162i | ||||
\(155\) | −0.0898701 | − | 0.300187i | −0.00721854 | − | 0.0241116i | ||||
\(156\) | 0.289156 | − | 0.323809i | 0.0231510 | − | 0.0259255i | ||||
\(157\) | 0.907206 | + | 0.455616i | 0.0724030 | + | 0.0363621i | 0.484632 | − | 0.874718i | \(-0.338953\pi\) |
−0.412229 | + | 0.911080i | \(0.635250\pi\) | |||||||
\(158\) | 0.590399 | + | 0.102592i | 0.0469697 | + | 0.00816182i | ||||
\(159\) | 7.78396 | − | 12.4333i | 0.617308 | − | 0.986027i | ||||
\(160\) | 0.250585 | − | 0.716012i | 0.0198105 | − | 0.0566058i | ||||
\(161\) | 18.4890i | 1.45714i | ||||||||
\(162\) | 12.6739 | − | 1.17127i | 0.995757 | − | 0.0920236i | ||||
\(163\) | − | 10.8729i | − | 0.851632i | −0.904810 | − | 0.425816i | \(-0.859987\pi\) | ||
0.904810 | − | 0.425816i | \(-0.140013\pi\) | |||||||
\(164\) | −11.5218 | + | 13.8705i | −0.899705 | + | 1.08310i | ||||
\(165\) | −0.429684 | − | 0.0153720i | −0.0334508 | − | 0.00119671i | ||||
\(166\) | 0.184001 | − | 1.05889i | 0.0142813 | − | 0.0821860i | ||||
\(167\) | 5.41084 | + | 2.71742i | 0.418703 | + | 0.210281i | 0.645661 | − | 0.763624i | \(-0.276582\pi\) |
−0.226958 | + | 0.973904i | \(0.572878\pi\) | |||||||
\(168\) | 1.49612 | − | 17.2553i | 0.115428 | − | 1.33128i | ||||
\(169\) | 3.72394 | + | 12.4388i | 0.286457 | + | 0.956832i | ||||
\(170\) | −0.0362782 | + | 0.650703i | −0.00278241 | + | 0.0499066i | ||||
\(171\) | −4.40709 | − | 15.4690i | −0.337019 | − | 1.18294i | ||||
\(172\) | 12.1750 | − | 5.32366i | 0.928336 | − | 0.405925i | ||||
\(173\) | 16.8829 | + | 0.983315i | 1.28358 | + | 0.0747601i | 0.686327 | − | 0.727293i | \(-0.259222\pi\) |
0.597253 | + | 0.802053i | \(0.296259\pi\) | |||||||
\(174\) | −3.29367 | + | 15.6206i | −0.249692 | + | 1.18420i | ||||
\(175\) | −14.1283 | − | 10.5181i | −1.06800 | − | 0.795095i | ||||
\(176\) | 6.93238 | − | 2.60144i | 0.522548 | − | 0.196091i | ||||
\(177\) | 10.4631 | + | 17.2193i | 0.786453 | + | 1.29428i | ||||
\(178\) | 13.2846 | − | 0.806842i | 0.995722 | − | 0.0604754i | ||||
\(179\) | 12.5555 | − | 10.5353i | 0.938442 | − | 0.787447i | −0.0388711 | − | 0.999244i | \(-0.512376\pi\) |
0.977314 | + | 0.211797i | \(0.0679317\pi\) | |||||||
\(180\) | 0.0535104 | − | 0.802830i | 0.00398843 | − | 0.0598394i | ||||
\(181\) | −12.7797 | − | 10.7235i | −0.949909 | − | 0.797068i | 0.0293732 | − | 0.999569i | \(-0.490649\pi\) |
−0.979282 | + | 0.202500i | \(0.935093\pi\) | |||||||
\(182\) | −0.503527 | − | 0.372923i | −0.0373239 | − | 0.0276429i | ||||
\(183\) | 25.8349 | − | 6.73805i | 1.90977 | − | 0.498091i | ||||
\(184\) | −5.95967 | − | 13.5379i | −0.439352 | − | 0.998026i | ||||
\(185\) | 0.788930 | + | 0.236190i | 0.0580033 | + | 0.0173650i | ||||
\(186\) | 4.67474 | + | 3.30255i | 0.342768 | + | 0.242155i | ||||
\(187\) | −5.10245 | + | 3.79863i | −0.373128 | + | 0.277783i | ||||
\(188\) | −8.67810 | + | 2.10232i | −0.632916 | + | 0.153327i | ||||
\(189\) | −3.35409 | − | 18.0619i | −0.243974 | − | 1.31381i | ||||
\(190\) | −1.00963 | + | 0.120551i | −0.0732463 | + | 0.00874567i | ||||
\(191\) | 1.08326 | − | 2.51128i | 0.0783819 | − | 0.181710i | −0.874519 | − | 0.484991i | \(-0.838823\pi\) |
0.952901 | + | 0.303281i | \(0.0980822\pi\) | |||||||
\(192\) | 4.46652 | + | 13.1168i | 0.322343 | + | 0.946623i | ||||
\(193\) | −0.380101 | − | 0.402884i | −0.0273603 | − | 0.0290002i | 0.713549 | − | 0.700605i | \(-0.247087\pi\) |
−0.740909 | + | 0.671605i | \(0.765605\pi\) | |||||||
\(194\) | 0.488598 | + | 2.73130i | 0.0350793 | + | 0.196096i | ||||
\(195\) | −0.0237323 | − | 0.0168546i | −0.00169951 | − | 0.00120698i | ||||
\(196\) | −10.9985 | + | 0.0546195i | −0.785608 | + | 0.00390139i | ||||
\(197\) | −25.0287 | − | 4.41324i | −1.78322 | − | 0.314430i | −0.817874 | − | 0.575397i | \(-0.804848\pi\) |
−0.965348 | + | 0.260967i | \(0.915959\pi\) | |||||||
\(198\) | 6.35008 | − | 4.62114i | 0.451281 | − | 0.328410i | ||||
\(199\) | 0.161401 | − | 0.0284593i | 0.0114414 | − | 0.00201743i | −0.167925 | − | 0.985800i | \(-0.553706\pi\) |
0.179366 | + | 0.983782i | \(0.442595\pi\) | |||||||
\(200\) | 13.7353 | + | 3.14744i | 0.971230 | + | 0.222558i | ||||
\(201\) | 10.5336 | − | 13.1408i | 0.742985 | − | 0.926880i | ||||
\(202\) | −0.830433 | − | 0.476705i | −0.0584291 | − | 0.0335409i | ||||
\(203\) | 22.8857 | + | 2.67496i | 1.60626 | + | 0.187745i | ||||
\(204\) | −6.81129 | − | 9.76291i | −0.476885 | − | 0.683541i | ||||
\(205\) | 1.01014 | + | 0.664382i | 0.0705515 | + | 0.0464024i | ||||
\(206\) | −1.36843 | + | 5.83841i | −0.0953428 | + | 0.406781i | ||||
\(207\) | −9.92337 | − | 12.1518i | −0.689722 | − | 0.844612i | ||||
\(208\) | 0.488895 | + | 0.110754i | 0.0338988 | + | 0.00767938i | ||||
\(209\) | −7.21896 | − | 6.81074i | −0.499346 | − | 0.471108i | ||||
\(210\) | −1.16097 | + | 0.0289149i | −0.0801142 | + | 0.00199532i | ||||
\(211\) | −7.89277 | − | 12.0004i | −0.543360 | − | 0.826139i | 0.454552 | − | 0.890720i | \(-0.349799\pi\) |
−0.997912 | + | 0.0645807i | \(0.979429\pi\) | |||||||
\(212\) | 16.9143 | + | 0.900885i | 1.16168 | + | 0.0618730i | ||||
\(213\) | −4.68424 | + | 0.654251i | −0.320959 | + | 0.0448286i | ||||
\(214\) | −4.03359 | − | 4.25414i | −0.275731 | − | 0.290807i | ||||
\(215\) | −0.445489 | − | 0.771609i | −0.0303821 | − | 0.0526233i | ||||
\(216\) | 8.27790 | + | 12.1440i | 0.563239 | + | 0.826294i | ||||
\(217\) | 4.13057 | − | 7.15435i | 0.280401 | − | 0.485669i | ||||
\(218\) | −21.8071 | + | 5.22560i | −1.47696 | + | 0.353922i | ||||
\(219\) | −4.09638 | + | 4.54170i | −0.276808 | + | 0.306899i | ||||
\(220\) | −0.225017 | − | 0.442553i | −0.0151707 | − | 0.0298369i | ||||
\(221\) | −0.429926 | + | 0.0250404i | −0.0289200 | + | 0.00168440i | ||||
\(222\) | −14.0028 | + | 5.49517i | −0.939806 | + | 0.368811i | ||||
\(223\) | 0.223004 | − | 0.940930i | 0.0149335 | − | 0.0630093i | −0.965068 | − | 0.262000i | \(-0.915618\pi\) |
0.980001 | + | 0.198990i | \(0.0637662\pi\) | |||||||
\(224\) | 18.2641 | − | 8.14875i | 1.22032 | − | 0.544461i | ||||
\(225\) | 14.9310 | − | 0.669889i | 0.995402 | − | 0.0446593i | ||||
\(226\) | −21.5594 | + | 6.51283i | −1.43411 | + | 0.433227i | ||||
\(227\) | −21.0025 | + | 10.5479i | −1.39399 | + | 0.700087i | −0.977868 | − | 0.209223i | \(-0.932906\pi\) |
−0.416119 | + | 0.909310i | \(0.636610\pi\) | |||||||
\(228\) | 13.1553 | − | 13.1105i | 0.871232 | − | 0.868266i | ||||
\(229\) | 6.36052 | + | 14.7453i | 0.420315 | + | 0.974400i | 0.988461 | + | 0.151473i | \(0.0484015\pi\) |
−0.568146 | + | 0.822928i | \(0.692339\pi\) | |||||||
\(230\) | −0.857683 | + | 0.498027i | −0.0565539 | + | 0.0328389i | ||||
\(231\) | −7.47903 | − | 8.51787i | −0.492084 | − | 0.560434i | ||||
\(232\) | −17.6194 | + | 5.41825i | −1.15677 | + | 0.355726i | ||||
\(233\) | 7.32302 | − | 20.1198i | 0.479747 | − | 1.31809i | −0.429962 | − | 0.902847i | \(-0.641473\pi\) |
0.909709 | − | 0.415247i | \(-0.136305\pi\) | |||||||
\(234\) | 0.531096 | − | 0.0251494i | 0.0347188 | − | 0.00164407i | ||||
\(235\) | 0.204770 | + | 0.562600i | 0.0133577 | + | 0.0367000i | ||||
\(236\) | −11.5328 | + | 20.2065i | −0.750721 | + | 1.31533i | ||||
\(237\) | 0.416942 | + | 0.603991i | 0.0270833 | + | 0.0392334i | ||||
\(238\) | −13.1344 | + | 11.0768i | −0.851380 | + | 0.718002i | ||||
\(239\) | −15.6305 | + | 3.70450i | −1.01105 | + | 0.239624i | −0.702577 | − | 0.711607i | \(-0.747968\pi\) |
−0.308477 | + | 0.951232i | \(0.599819\pi\) | |||||||
\(240\) | 0.840753 | − | 0.395392i | 0.0542703 | − | 0.0255225i | ||||
\(241\) | −10.8266 | + | 1.26544i | −0.697400 | + | 0.0815143i | −0.457403 | − | 0.889259i | \(-0.651220\pi\) |
−0.239996 | + | 0.970774i | \(0.577146\pi\) | |||||||
\(242\) | −4.21775 | + | 9.84499i | −0.271127 | + | 0.632860i | ||||
\(243\) | 11.8986 | + | 10.0709i | 0.763295 | + | 0.646050i | ||||
\(244\) | 21.2676 | + | 22.3192i | 1.36152 | + | 1.42884i | ||||
\(245\) | 0.0856150 | + | 0.732483i | 0.00546974 | + | 0.0467966i | ||||
\(246\) | −22.0081 | + | 1.83262i | −1.40319 | + | 0.116843i | ||||
\(247\) | −0.154952 | − | 0.653796i | −0.00985939 | − | 0.0416000i | ||||
\(248\) | −0.718348 | + | 6.56993i | −0.0456152 | + | 0.417191i | ||||
\(249\) | 1.08327 | − | 0.747793i | 0.0686493 | − | 0.0473894i | ||||
\(250\) | 0.215103 | − | 1.88082i | 0.0136043 | − | 0.118953i | ||||
\(251\) | −20.3407 | + | 7.40340i | −1.28389 | + | 0.467299i | −0.891718 | − | 0.452592i | \(-0.850499\pi\) |
−0.392175 | + | 0.919891i | \(0.628277\pi\) | |||||||
\(252\) | 16.3635 | − | 13.4986i | 1.03080 | − | 0.850334i | ||||
\(253\) | −9.09677 | − | 3.31095i | −0.571909 | − | 0.208158i | ||||
\(254\) | 12.7557 | − | 25.5567i | 0.800364 | − | 1.60357i | ||||
\(255\) | −0.599789 | + | 0.526639i | −0.0375603 | + | 0.0329794i | ||||
\(256\) | −10.7465 | + | 11.8538i | −0.671659 | + | 0.740861i | ||||
\(257\) | 18.9613 | − | 8.17909i | 1.18277 | − | 0.510198i | 0.288394 | − | 0.957512i | \(-0.406879\pi\) |
0.894377 | + | 0.447314i | \(0.147619\pi\) | |||||||
\(258\) | 15.0993 | + | 6.07193i | 0.940044 | + | 0.378022i | ||||
\(259\) | 9.74402 | + | 19.4019i | 0.605464 | + | 1.20558i | ||||
\(260\) | 0.00373622 | − | 0.0334032i | 0.000231711 | − | 0.00207158i | ||||
\(261\) | −16.4773 | + | 10.5251i | −1.01992 | + | 0.651485i | ||||
\(262\) | 13.4352 | − | 6.78923i | 0.830028 | − | 0.419440i | ||||
\(263\) | −2.89689 | − | 0.686575i | −0.178630 | − | 0.0423360i | 0.140327 | − | 0.990105i | \(-0.455184\pi\) |
−0.318957 | + | 0.947769i | \(0.603333\pi\) | |||||||
\(264\) | 8.22185 | + | 3.82613i | 0.506020 | + | 0.235482i | ||||
\(265\) | −0.0660365 | − | 1.13380i | −0.00405659 | − | 0.0696490i | ||||
\(266\) | −20.5779 | − | 17.1800i | −1.26171 | − | 1.05337i | ||||
\(267\) | 12.1041 | + | 10.9173i | 0.740760 | + | 0.668128i | ||||
\(268\) | 19.1680 | + | 3.28178i | 1.17087 | + | 0.200467i | ||||
\(269\) | −13.9449 | − | 8.05109i | −0.850235 | − | 0.490884i | 0.0104950 | − | 0.999945i | \(-0.496659\pi\) |
−0.860730 | + | 0.509061i | \(0.829993\pi\) | |||||||
\(270\) | 0.747522 | − | 0.642114i | 0.0454927 | − | 0.0390778i | ||||
\(271\) | −21.7706 | + | 12.5693i | −1.32247 | + | 0.763529i | −0.984122 | − | 0.177492i | \(-0.943202\pi\) |
−0.338348 | + | 0.941021i | \(0.609868\pi\) | |||||||
\(272\) | 6.04675 | − | 12.3443i | 0.366638 | − | 0.748481i | ||||
\(273\) | −0.106154 | − | 0.760031i | −0.00642474 | − | 0.0459992i | ||||
\(274\) | 0.568674 | + | 1.55043i | 0.0343549 | + | 0.0936649i | ||||
\(275\) | 7.70506 | − | 5.06770i | 0.464633 | − | 0.305594i | ||||
\(276\) | 6.71722 | − | 16.8246i | 0.404329 | − | 1.01272i | ||||
\(277\) | −15.5240 | + | 16.4544i | −0.932744 | + | 0.988651i | −0.999959 | − | 0.00908768i | \(-0.997107\pi\) |
0.0672147 | + | 0.997739i | \(0.478589\pi\) | |||||||
\(278\) | −5.05132 | + | 7.72185i | −0.302958 | + | 0.463126i | ||||
\(279\) | 1.12506 | + | 6.91912i | 0.0673555 | + | 0.414237i | ||||
\(280\) | −0.679124 | − | 1.15630i | −0.0405854 | − | 0.0691021i | ||||
\(281\) | 12.6415 | − | 19.2205i | 0.754132 | − | 1.14660i | −0.230689 | − | 0.973027i | \(-0.574098\pi\) |
0.984821 | − | 0.173574i | \(-0.0555315\pi\) | |||||||
\(282\) | −9.28360 | − | 5.78002i | −0.552830 | − | 0.344195i | ||||
\(283\) | 3.32873 | − | 28.4791i | 0.197872 | − | 1.69290i | −0.420719 | − | 0.907191i | \(-0.638222\pi\) |
0.618591 | − | 0.785713i | \(-0.287704\pi\) | |||||||
\(284\) | −3.28303 | − | 4.36446i | −0.194812 | − | 0.258983i | ||||
\(285\) | −0.971676 | − | 0.778893i | −0.0575571 | − | 0.0461376i | ||||
\(286\) | 0.273651 | − | 0.180958i | 0.0161813 | − | 0.0107003i | ||||
\(287\) | 5.53505 | + | 31.3908i | 0.326723 | + | 1.85294i | ||||
\(288\) | −7.63043 | + | 15.1584i | −0.449627 | + | 0.893216i | ||||
\(289\) | 0.901407 | − | 5.11213i | 0.0530239 | − | 0.300714i | ||||
\(290\) | 0.492371 | + | 1.13370i | 0.0289130 | + | 0.0665729i | ||||
\(291\) | −1.96768 | + | 2.77062i | −0.115348 | + | 0.162416i | ||||
\(292\) | −6.87997 | − | 1.59454i | −0.402620 | − | 0.0933133i | ||||
\(293\) | −2.40015 | + | 2.26443i | −0.140219 | + | 0.132289i | −0.753156 | − | 0.657842i | \(-0.771469\pi\) |
0.612937 | + | 0.790132i | \(0.289988\pi\) | |||||||
\(294\) | −9.48513 | − | 9.56492i | −0.553184 | − | 0.557837i | ||||
\(295\) | 1.43242 | + | 0.617887i | 0.0833989 | + | 0.0359748i | ||||
\(296\) | −13.3886 | − | 11.0655i | −0.778198 | − | 0.643168i | ||||
\(297\) | 9.48726 | + | 1.58422i | 0.550506 | + | 0.0919257i | ||||
\(298\) | −13.2346 | + | 9.90397i | −0.766660 | + | 0.573722i | ||||
\(299\) | −0.391366 | − | 0.525696i | −0.0226333 | − | 0.0304018i | ||||
\(300\) | 9.03510 | + | 14.7042i | 0.521642 | + | 0.848946i | ||||
\(301\) | 6.73688 | − | 22.5027i | 0.388307 | − | 1.29704i | ||||
\(302\) | −8.64047 | + | 23.9242i | −0.497203 | + | 1.37668i | ||||
\(303\) | −0.295962 | − | 1.13477i | −0.0170026 | − | 0.0651909i | ||||
\(304\) | 20.6051 | + | 5.94643i | 1.18178 | + | 0.341051i | ||||
\(305\) | 1.32874 | − | 1.58353i | 0.0760833 | − | 0.0906726i | ||||
\(306\) | 2.68747 | − | 14.3297i | 0.153632 | − | 0.819173i | ||||
\(307\) | 16.2252 | + | 19.3364i | 0.926020 | + | 1.10359i | 0.994374 | + | 0.105927i | \(0.0337810\pi\) |
−0.0683535 | + | 0.997661i | \(0.521775\pi\) | |||||||
\(308\) | 4.41554 | − | 12.3216i | 0.251599 | − | 0.702091i | ||||
\(309\) | −6.27648 | + | 3.81382i | −0.357056 | + | 0.216961i | ||||
\(310\) | 0.443144 | − | 0.00110034i | 0.0251689 | − | 6.24950e-5i | ||||
\(311\) | −7.75843 | + | 10.4214i | −0.439940 | + | 0.590942i | −0.965690 | − | 0.259697i | \(-0.916377\pi\) |
0.525750 | + | 0.850639i | \(0.323785\pi\) | |||||||
\(312\) | 0.322712 | + | 0.522287i | 0.0182700 | + | 0.0295687i | ||||
\(313\) | 0.422855 | − | 7.26013i | 0.0239012 | − | 0.410367i | −0.965044 | − | 0.262087i | \(-0.915589\pi\) |
0.988945 | − | 0.148280i | \(-0.0473737\pi\) | |||||||
\(314\) | −0.982637 | + | 1.04673i | −0.0554534 | + | 0.0590704i | ||||
\(315\) | −1.02145 | − | 0.989776i | −0.0575521 | − | 0.0557676i | ||||
\(316\) | −0.376575 | + | 0.759200i | −0.0211840 | + | 0.0427083i | ||||
\(317\) | 2.24602 | − | 0.672416i | 0.126149 | − | 0.0377666i | −0.223106 | − | 0.974794i | \(-0.571620\pi\) |
0.349256 | + | 0.937028i | \(0.386435\pi\) | |||||||
\(318\) | 13.7262 | + | 15.5547i | 0.769725 | + | 0.872262i | ||||
\(319\) | −5.41441 | + | 10.7810i | −0.303149 | + | 0.603619i | ||||
\(320\) | 0.869979 | + | 0.627750i | 0.0486333 | + | 0.0350923i | ||||
\(321\) | 0.256699 | − | 7.17534i | 0.0143275 | − | 0.400488i | ||||
\(322\) | −25.0675 | − | 7.43694i | −1.39696 | − | 0.414445i | ||||
\(323\) | −18.4244 | −1.02516 | ||||||||
\(324\) | −3.50989 | + | 17.6545i | −0.194994 | + | 0.980804i | ||||
\(325\) | 0.624350 | 0.0346327 | ||||||||
\(326\) | 14.7415 | + | 4.37347i | 0.816458 | + | 0.242224i | ||||
\(327\) | −23.2786 | − | 14.5737i | −1.28731 | − | 0.805927i | ||||
\(328\) | −14.1712 | − | 21.2006i | −0.782474 | − | 1.17061i | ||||
\(329\) | −7.08393 | + | 14.1053i | −0.390550 | + | 0.777648i | ||||
\(330\) | 0.193675 | − | 0.576384i | 0.0106615 | − | 0.0317289i | ||||
\(331\) | 12.5661 | − | 3.76206i | 0.690698 | − | 0.206781i | 0.0778297 | − | 0.996967i | \(-0.475201\pi\) |
0.612868 | + | 0.790185i | \(0.290016\pi\) | |||||||
\(332\) | 1.36164 | + | 0.675394i | 0.0747297 | + | 0.0370671i | ||||
\(333\) | −16.8176 | − | 7.52208i | −0.921598 | − | 0.412208i | ||||
\(334\) | −5.86073 | + | 6.24299i | −0.320685 | + | 0.341601i | ||||
\(335\) | 0.0758172 | − | 1.30173i | 0.00414233 | − | 0.0711211i | ||||
\(336\) | 22.7930 | + | 8.96914i | 1.24346 | + | 0.489307i | ||||
\(337\) | −13.1010 | + | 17.5977i | −0.713658 | + | 0.958608i | 0.286342 | + | 0.958127i | \(0.407561\pi\) |
−1.00000 | 0.000481048i | \(0.999847\pi\) | ||||||||
\(338\) | −18.3625 | + | 0.0455946i | −0.998789 | + | 0.00248002i | ||||
\(339\) | −24.1910 | − | 13.2527i | −1.31387 | − | 0.719788i | ||||
\(340\) | −0.867634 | − | 0.310922i | −0.0470540 | − | 0.0168621i | ||||
\(341\) | 2.78032 | + | 3.31345i | 0.150563 | + | 0.179434i | ||||
\(342\) | 22.7456 | + | 0.247007i | 1.22994 | + | 0.0133566i | ||||
\(343\) | 3.41034 | − | 4.06429i | 0.184141 | − | 0.219451i | ||||
\(344\) | 2.32061 | + | 18.6483i | 0.125119 | + | 1.00545i | ||||
\(345\) | −1.17118 | − | 0.322206i | −0.0630542 | − | 0.0173470i | ||||
\(346\) | −8.12408 | + | 22.4943i | −0.436753 | + | 1.20930i | ||||
\(347\) | 3.64718 | − | 12.1824i | 0.195791 | − | 0.653987i | −0.802560 | − | 0.596572i | \(-0.796529\pi\) |
0.998350 | − | 0.0574148i | \(-0.0182858\pi\) | |||||||
\(348\) | −19.8537 | − | 10.7487i | −1.06427 | − | 0.576193i | ||||
\(349\) | −10.3254 | − | 13.8695i | −0.552708 | − | 0.742416i | 0.434706 | − | 0.900572i | \(-0.356852\pi\) |
−0.987414 | + | 0.158157i | \(0.949445\pi\) | |||||||
\(350\) | 19.9434 | − | 14.9244i | 1.06602 | − | 0.797745i | ||||
\(351\) | 0.477691 | + | 0.442554i | 0.0254973 | + | 0.0236218i | ||||
\(352\) | 0.738593 | + | 10.4453i | 0.0393671 | + | 0.556739i | ||||
\(353\) | 5.93410 | + | 2.55972i | 0.315840 | + | 0.136240i | 0.548098 | − | 0.836414i | \(-0.315352\pi\) |
−0.232258 | + | 0.972654i | \(0.574611\pi\) | |||||||
\(354\) | −27.5546 | + | 7.25969i | −1.46451 | + | 0.385848i | ||||
\(355\) | −0.266358 | + | 0.251296i | −0.0141368 | + | 0.0133374i | ||||
\(356\) | −4.24962 | + | 18.3359i | −0.225229 | + | 0.971798i | ||||
\(357\) | −20.9504 | − | 1.97383i | −1.10881 | − | 0.104466i | ||||
\(358\) | 9.23356 | + | 21.2605i | 0.488009 | + | 1.12365i | ||||
\(359\) | −2.46629 | + | 13.9870i | −0.130166 | + | 0.738208i | 0.847939 | + | 0.530094i | \(0.177844\pi\) |
−0.978105 | + | 0.208114i | \(0.933268\pi\) | |||||||
\(360\) | 1.06696 | + | 0.395477i | 0.0562336 | + | 0.0208435i | ||||
\(361\) | −1.69232 | − | 9.59761i | −0.0890693 | − | 0.505137i | ||||
\(362\) | 19.6794 | − | 13.0134i | 1.03432 | − | 0.683971i | ||||
\(363\) | −12.2228 | + | 4.76164i | −0.641530 | + | 0.249921i | ||||
\(364\) | 0.708147 | − | 0.532682i | 0.0371170 | − | 0.0279201i | ||||
\(365\) | −0.0549742 | + | 0.470334i | −0.00287748 | + | 0.0246184i | ||||
\(366\) | −1.25625 | + | 37.7374i | −0.0656651 | + | 1.97257i | ||||
\(367\) | 6.23749 | − | 9.48364i | 0.325594 | − | 0.495042i | −0.635184 | − | 0.772361i | \(-0.719076\pi\) |
0.960778 | + | 0.277319i | \(0.0894459\pi\) | |||||||
\(368\) | 20.7519 | − | 2.63473i | 1.08177 | − | 0.137345i | ||||
\(369\) | −20.4859 | − | 17.6608i | −1.06645 | − | 0.919383i | ||||
\(370\) | −0.637564 | + | 0.974631i | −0.0331454 | + | 0.0506687i | ||||
\(371\) | 20.5475 | − | 21.7790i | 1.06677 | − | 1.13071i | ||||
\(372\) | −6.35796 | + | 5.00963i | −0.329645 | + | 0.259737i | ||||
\(373\) | 20.5433 | − | 13.5116i | 1.06369 | − | 0.699602i | 0.108055 | − | 0.994145i | \(-0.465538\pi\) |
0.955638 | + | 0.294543i | \(0.0951674\pi\) | |||||||
\(374\) | −3.09781 | − | 8.44587i | −0.160184 | − | 0.436725i | ||||
\(375\) | 1.82825 | − | 1.42587i | 0.0944104 | − | 0.0736318i | ||||
\(376\) | 0.640310 | − | 12.6114i | 0.0330215 | − | 0.650385i | ||||
\(377\) | −0.707330 | + | 0.408377i | −0.0364293 | + | 0.0210325i | ||||
\(378\) | 25.8375 | + | 2.71764i | 1.32894 | + | 0.139780i | ||||
\(379\) | 29.6184 | + | 17.1002i | 1.52140 | + | 0.878379i | 0.999681 | + | 0.0252600i | \(0.00804137\pi\) |
0.521716 | + | 0.853119i | \(0.325292\pi\) | |||||||
\(380\) | 0.242666 | − | 1.41735i | 0.0124485 | − | 0.0727086i | ||||
\(381\) | 33.2796 | − | 10.7818i | 1.70497 | − | 0.552369i | ||||
\(382\) | 2.96908 | + | 2.47881i | 0.151911 | + | 0.126827i | ||||
\(383\) | 0.575760 | + | 9.88542i | 0.0294200 | + | 0.505121i | 0.980542 | + | 0.196307i | \(0.0628950\pi\) |
−0.951122 | + | 0.308814i | \(0.900068\pi\) | |||||||
\(384\) | −19.5804 | + | 0.779690i | −0.999208 | + | 0.0397884i | ||||
\(385\) | −0.853969 | − | 0.202394i | −0.0435223 | − | 0.0103150i | ||||
\(386\) | 0.699122 | − | 0.353289i | 0.0355844 | − | 0.0179819i | ||||
\(387\) | 7.64981 | + | 18.4057i | 0.388862 | + | 0.935612i | ||||
\(388\) | −3.89964 | − | 0.436183i | −0.197974 | − | 0.0221439i | ||||
\(389\) | −3.32135 | − | 6.61336i | −0.168399 | − | 0.335310i | 0.793565 | − | 0.608485i | \(-0.208223\pi\) |
−0.961964 | + | 0.273175i | \(0.911926\pi\) | |||||||
\(390\) | 0.0323975 | − | 0.0253969i | 0.00164051 | − | 0.00128602i | ||||
\(391\) | −16.5014 | + | 7.11803i | −0.834514 | + | 0.359974i | ||||
\(392\) | 4.34994 | − | 14.9338i | 0.219705 | − | 0.754271i | ||||
\(393\) | 17.4614 | + | 5.91565i | 0.880813 | + | 0.298405i | ||||
\(394\) | 16.0509 | − | 32.1589i | 0.808634 | − | 1.62014i | ||||
\(395\) | 0.0533964 | + | 0.0194347i | 0.00268666 | + | 0.000977865i | ||||
\(396\) | 3.71114 | + | 10.4683i | 0.186492 | + | 0.526050i | ||||
\(397\) | −13.3760 | + | 4.86845i | −0.671320 | + | 0.244340i | −0.655116 | − | 0.755528i | \(-0.727380\pi\) |
−0.0162037 | + | 0.999869i | \(0.505158\pi\) | |||||||
\(398\) | −0.0263359 | + | 0.230275i | −0.00132010 | + | 0.0115427i | ||||
\(399\) | −2.64320 | − | 32.7249i | −0.132325 | − | 1.63829i | ||||
\(400\) | −9.79213 | + | 17.3563i | −0.489607 | + | 0.867816i | ||||
\(401\) | 6.77095 | + | 28.5689i | 0.338125 | + | 1.42666i | 0.830859 | + | 0.556482i | \(0.187849\pi\) |
−0.492734 | + | 0.870180i | \(0.664003\pi\) | |||||||
\(402\) | 13.5794 | + | 19.5672i | 0.677277 | + | 0.975925i | ||||
\(403\) | 0.0339958 | + | 0.290852i | 0.00169345 | + | 0.0144884i | ||||
\(404\) | 0.980349 | − | 0.934157i | 0.0487742 | − | 0.0464760i | ||||
\(405\) | 1.20257 | + | 0.102298i | 0.0597564 | + | 0.00508325i | ||||
\(406\) | −12.8322 | + | 29.9526i | −0.636851 | + | 1.48652i | ||||
\(407\) | −11.2909 | + | 1.31971i | −0.559667 | + | 0.0654157i | ||||
\(408\) | 15.9763 | − | 5.30778i | 0.790947 | − | 0.262774i | ||||
\(409\) | 35.5682 | − | 8.42981i | 1.75873 | − | 0.416827i | 0.780637 | − | 0.624984i | \(-0.214895\pi\) |
0.978095 | + | 0.208157i | \(0.0667464\pi\) | |||||||
\(410\) | −1.30709 | + | 1.10232i | −0.0645525 | + | 0.0544397i | ||||
\(411\) | −0.866989 | + | 1.82734i | −0.0427654 | + | 0.0901359i | ||||
\(412\) | −7.36531 | − | 4.20374i | −0.362863 | − | 0.207103i | ||||
\(413\) | 14.0665 | + | 38.6474i | 0.692168 | + | 1.90172i | ||||
\(414\) | 20.4671 | − | 8.56624i | 1.00590 | − | 0.421008i | ||||
\(415\) | 0.0348565 | − | 0.0957674i | 0.00171104 | − | 0.00470103i | ||||
\(416\) | −0.346811 | + | 0.618297i | −0.0170038 | + | 0.0303145i | ||||
\(417\) | −11.0826 | + | 2.21139i | −0.542717 | + | 0.108292i | ||||
\(418\) | 12.1377 | − | 7.04798i | 0.593677 | − | 0.344728i | ||||
\(419\) | 12.0182 | + | 27.8612i | 0.587125 | + | 1.36111i | 0.909976 | + | 0.414660i | \(0.136099\pi\) |
−0.322851 | + | 0.946450i | \(0.604641\pi\) | |||||||
\(420\) | 0.427779 | − | 1.58567i | 0.0208735 | − | 0.0773729i | ||||
\(421\) | 24.6551 | − | 12.3823i | 1.20162 | − | 0.603475i | 0.268581 | − | 0.963257i | \(-0.413445\pi\) |
0.933036 | + | 0.359782i | \(0.117149\pi\) | |||||||
\(422\) | 19.4449 | − | 5.87407i | 0.946563 | − | 0.285945i | ||||
\(423\) | −2.91464 | − | 13.0727i | −0.141715 | − | 0.635617i | ||||
\(424\) | −8.02494 | + | 22.5701i | −0.389726 | + | 1.09610i | ||||
\(425\) | 3.94822 | − | 16.6588i | 0.191517 | − | 0.808072i | ||||
\(426\) | 0.997132 | − | 6.61408i | 0.0483112 | − | 0.320453i | ||||
\(427\) | 54.4057 | − | 3.16877i | 2.63288 | − | 0.153348i | ||||
\(428\) | 7.39024 | − | 3.75759i | 0.357221 | − | 0.181630i | ||||
\(429\) | 0.392952 | + | 0.0838751i | 0.0189719 | + | 0.00404953i | ||||
\(430\) | 1.22534 | − | 0.293627i | 0.0590912 | − | 0.0141599i | ||||
\(431\) | −17.9749 | + | 31.1334i | −0.865820 | + | 1.49964i | 0.000410722 | 1.00000i | \(0.499869\pi\) | |
−0.866231 | + | 0.499644i | \(0.833464\pi\) | |||||||
\(432\) | −19.7945 | + | 6.33846i | −0.952365 | + | 0.304959i | ||||
\(433\) | −19.2321 | − | 33.3109i | −0.924234 | − | 1.60082i | −0.792788 | − | 0.609498i | \(-0.791371\pi\) |
−0.131446 | − | 0.991323i | \(-0.541962\pi\) | |||||||
\(434\) | 8.03844 | + | 8.47798i | 0.385857 | + | 0.406956i | ||||
\(435\) | −0.568271 | + | 1.40307i | −0.0272465 | + | 0.0672721i | ||||
\(436\) | 1.68670 | − | 31.6681i | 0.0807784 | − | 1.51663i | ||||
\(437\) | −15.4075 | − | 23.4259i | −0.737039 | − | 1.12061i | ||||
\(438\) | −4.50994 | − | 7.38073i | −0.215493 | − | 0.352665i | ||||
\(439\) | −23.9730 | − | 22.6174i | −1.14417 | − | 1.07947i | −0.995894 | − | 0.0905228i | \(-0.971146\pi\) |
−0.148276 | − | 0.988946i | \(-0.547372\pi\) | |||||||
\(440\) | 0.690525 | − | 0.127069i | 0.0329195 | − | 0.00605777i | ||||
\(441\) | 0.220112 | − | 16.4965i | 0.0104815 | − | 0.785548i | ||||
\(442\) | 0.138982 | − | 0.592968i | 0.00661070 | − | 0.0282046i | ||||
\(443\) | −3.46495 | − | 2.27893i | −0.164625 | − | 0.108275i | 0.464523 | − | 0.885561i | \(-0.346226\pi\) |
−0.629148 | + | 0.777286i | \(0.716596\pi\) | |||||||
\(444\) | −1.81795 | − | 21.1954i | −0.0862760 | − | 1.00589i | ||||
\(445\) | 1.25349 | + | 0.146512i | 0.0594212 | + | 0.00694534i | ||||
\(446\) | 1.18602 | + | 0.680826i | 0.0561595 | + | 0.0322380i | ||||
\(447\) | −20.0114 | − | 3.06773i | −0.946505 | − | 0.145099i | ||||
\(448\) | 3.70166 | + | 28.0402i | 0.174887 | + | 1.32478i | ||||
\(449\) | −27.1144 | + | 4.78100i | −1.27961 | + | 0.225629i | −0.771813 | − | 0.635849i | \(-0.780650\pi\) |
−0.507794 | + | 0.861479i | \(0.669539\pi\) | |||||||
\(450\) | −5.09756 | + | 20.5130i | −0.240301 | + | 0.966993i | ||||
\(451\) | −16.4358 | − | 2.89807i | −0.773930 | − | 0.136465i | ||||
\(452\) | −0.158170 | − | 31.8500i | −0.00743968 | − | 1.49810i | ||||
\(453\) | −28.3218 | + | 12.9773i | −1.33067 | + | 0.609729i | ||||
\(454\) | −5.85288 | − | 32.7181i | −0.274689 | − | 1.53553i | ||||
\(455\) | −0.0407735 | − | 0.0432174i | −0.00191149 | − | 0.00202606i | ||||
\(456\) | 12.4838 | + | 23.1096i | 0.584606 | + | 1.08220i | ||||
\(457\) | −2.49527 | + | 5.78468i | −0.116724 | + | 0.270596i | −0.966555 | − | 0.256458i | \(-0.917444\pi\) |
0.849832 | + | 0.527054i | \(0.176704\pi\) | |||||||
\(458\) | −22.5502 | + | 2.69252i | −1.05370 | + | 0.125813i | ||||
\(459\) | 14.8290 | − | 9.94712i | 0.692156 | − | 0.464292i | ||||
\(460\) | −0.330237 | − | 1.36317i | −0.0153974 | − | 0.0635584i | ||||
\(461\) | 0.846445 | − | 0.630155i | 0.0394229 | − | 0.0293493i | −0.577267 | − | 0.816556i | \(-0.695881\pi\) |
0.616690 | + | 0.787206i | \(0.288473\pi\) | |||||||
\(462\) | 14.5569 | − | 6.71392i | 0.677248 | − | 0.312360i | ||||
\(463\) | 20.8675 | + | 6.24731i | 0.969794 | + | 0.290337i | 0.732247 | − | 0.681039i | \(-0.238471\pi\) |
0.237547 | + | 0.971376i | \(0.423657\pi\) | |||||||
\(464\) | −0.258917 | − | 26.0679i | −0.0120199 | − | 1.21017i | ||||
\(465\) | 0.381207 | + | 0.386327i | 0.0176780 | + | 0.0179155i | ||||
\(466\) | 24.3330 | + | 18.0215i | 1.12720 | + | 0.834830i | ||||
\(467\) | −8.67800 | − | 7.28171i | −0.401570 | − | 0.336957i | 0.419530 | − | 0.907741i | \(-0.362195\pi\) |
−0.821100 | + | 0.570784i | \(0.806639\pi\) | |||||||
\(468\) | −0.179528 | + | 0.730178i | −0.00829868 | + | 0.0337525i | ||||
\(469\) | 26.3341 | − | 22.0969i | 1.21600 | − | 1.02034i | ||||
\(470\) | −0.845141 | + | 0.0513298i | −0.0389835 | + | 0.00236767i | ||||
\(471\) | −1.75792 | + | 0.0394152i | −0.0810006 | + | 0.00181615i | ||||
\(472\) | −22.7571 | − | 23.7640i | −1.04748 | − | 1.09383i | ||||
\(473\) | 9.86514 | + | 7.34432i | 0.453600 | + | 0.337692i | ||||
\(474\) | −0.986602 | + | 0.322345i | −0.0453161 | + | 0.0148058i | ||||
\(475\) | 26.6659 | + | 1.55311i | 1.22351 | + | 0.0712616i | ||||
\(476\) | −9.73483 | − | 22.2632i | −0.446195 | − | 1.02043i | ||||
\(477\) | −1.81558 | + | 25.3424i | −0.0831297 | + | 1.16035i | ||||
\(478\) | 1.26457 | − | 22.6820i | 0.0578403 | − | 1.03745i | ||||
\(479\) | −8.58955 | − | 28.6911i | −0.392467 | − | 1.31093i | −0.894882 | − | 0.446304i | \(-0.852740\pi\) |
0.502415 | − | 0.864627i | \(-0.332445\pi\) | |||||||
\(480\) | 0.197894 | + | 1.29894i | 0.00903258 | + | 0.0592881i | ||||
\(481\) | −0.687741 | − | 0.345396i | −0.0313583 | − | 0.0157487i | ||||
\(482\) | 2.63913 | − | 15.1877i | 0.120209 | − | 0.691781i | ||||
\(483\) | −15.0102 | − | 28.2883i | −0.682987 | − | 1.28716i | ||||
\(484\) | −11.6514 | − | 9.67845i | −0.529607 | − | 0.439930i | ||||
\(485\) | 0.263105i | 0.0119470i | ||||||||
\(486\) | −18.4402 | + | 12.0813i | −0.836467 | + | 0.548018i | ||||
\(487\) | − | 24.9681i | − | 1.13141i | −0.824606 | − | 0.565707i | \(-0.808603\pi\) | ||
0.824606 | − | 0.565707i | \(-0.191397\pi\) | |||||||
\(488\) | −38.8151 | + | 19.8571i | −1.75708 | + | 0.898890i | ||||
\(489\) | 8.82710 | + | 16.6356i | 0.399175 | + | 0.752287i | ||||
\(490\) | −1.02754 | − | 0.178554i | −0.0464196 | − | 0.00806624i | ||||
\(491\) | −16.7520 | − | 8.41318i | −0.756008 | − | 0.379682i | 0.0286668 | − | 0.999589i | \(-0.490874\pi\) |
−0.784675 | + | 0.619907i | \(0.787170\pi\) | |||||||
\(492\) | 6.36778 | − | 30.5759i | 0.287082 | − | 1.37847i | ||||
\(493\) | 6.42331 | + | 21.4554i | 0.289291 | + | 0.966300i | ||||
\(494\) | 0.948747 | + | 0.0528948i | 0.0426861 | + | 0.00237985i | ||||
\(495\) | 0.669897 | − | 0.325316i | 0.0301096 | − | 0.0146219i | ||||
\(496\) | −8.61859 | − | 3.61660i | −0.386986 | − | 0.162390i | ||||
\(497\) | −9.63788 | − | 0.561343i | −0.432318 | − | 0.0251797i | ||||
\(498\) | 0.578132 | + | 1.76949i | 0.0259067 | + | 0.0792927i | ||||
\(499\) | 11.8839 | + | 8.84726i | 0.531998 | + | 0.396058i | 0.829367 | − | 0.558705i | \(-0.188702\pi\) |
−0.297368 | + | 0.954763i | \(0.596109\pi\) | |||||||
\(500\) | 2.46350 | + | 1.04817i | 0.110171 | + | 0.0468756i | ||||
\(501\) | −10.4847 | + | 0.235083i | −0.468423 | + | 0.0105027i | ||||
\(502\) | −1.85582 | − | 30.5559i | −0.0828292 | − | 1.36378i | ||||
\(503\) | 30.2136 | − | 25.3523i | 1.34716 | − | 1.13040i | 0.367436 | − | 0.930049i | \(-0.380236\pi\) |
0.979724 | − | 0.200352i | \(-0.0642087\pi\) | |||||||
\(504\) | 11.7195 | + | 27.6153i | 0.522030 | + | 1.23008i | ||||
\(505\) | −0.0695548 | − | 0.0583634i | −0.00309515 | − | 0.00259714i | ||||
\(506\) | 8.14805 | − | 11.0017i | 0.362225 | − | 0.489083i | ||||
\(507\) | −15.7960 | − | 16.0082i | −0.701525 | − | 0.710948i | ||||
\(508\) | 29.5191 | + | 27.5741i | 1.30970 | + | 1.22340i | ||||
\(509\) | −2.68241 | − | 0.803062i | −0.118896 | − | 0.0355951i | 0.226803 | − | 0.973941i | \(-0.427173\pi\) |
−0.345698 | + | 0.938346i | \(0.612358\pi\) | |||||||
\(510\) | −0.472763 | − | 1.02503i | −0.0209343 | − | 0.0453891i | ||||
\(511\) | −10.0139 | + | 7.45505i | −0.442988 | + | 0.329792i | ||||
\(512\) | −11.7488 | − | 19.3382i | −0.519227 | − | 0.854637i | ||||
\(513\) | 19.3012 | + | 20.0897i | 0.852170 | + | 0.886981i | ||||
\(514\) | 3.46235 | + | 28.9977i | 0.152718 | + | 1.27903i | ||||
\(515\) | −0.225222 | + | 0.522123i | −0.00992445 | + | 0.0230075i | ||||
\(516\) | −14.3058 | + | 18.0294i | −0.629780 | + | 0.793701i | ||||
\(517\) | −5.67135 | − | 6.01128i | −0.249426 | − | 0.264376i | ||||
\(518\) | −30.2246 | + | 5.40683i | −1.32799 | + | 0.237563i | ||||
\(519\) | −26.6291 | + | 12.2018i | −1.16889 | + | 0.535598i | ||||
\(520\) | 0.0437854 | + | 0.0185016i | 0.00192012 | + | 0.000811347i | ||||
\(521\) | 36.2003 | + | 6.38309i | 1.58596 | + | 0.279648i | 0.895953 | − | 0.444150i | \(-0.146494\pi\) |
0.690012 | + | 0.723798i | \(0.257605\pi\) | |||||||
\(522\) | −7.64217 | − | 26.5735i | −0.334489 | − | 1.16309i | ||||
\(523\) | 22.9959 | − | 4.05480i | 1.00554 | − | 0.177304i | 0.353457 | − | 0.935451i | \(-0.385006\pi\) |
0.652084 | + | 0.758147i | \(0.273895\pi\) | |||||||
\(524\) | 3.80076 | + | 20.9464i | 0.166037 | + | 0.915046i | ||||
\(525\) | 30.1554 | + | 4.62280i | 1.31609 | + | 0.201756i | ||||
\(526\) | 2.09609 | − | 3.65145i | 0.0913940 | − | 0.159211i | ||||
\(527\) | 7.97547 | + | 0.932199i | 0.347417 | + | 0.0406072i | ||||
\(528\) | −8.49460 | + | 9.60822i | −0.369680 | + | 0.418144i | ||||
\(529\) | −3.63351 | − | 2.38980i | −0.157979 | − | 0.103904i | ||||
\(530\) | 1.56378 | + | 0.366524i | 0.0679262 | + | 0.0159208i | ||||
\(531\) | −29.9879 | − | 17.8512i | −1.30136 | − | 0.774675i | ||||
\(532\) | 31.5699 | − | 20.9892i | 1.36873 | − | 0.909997i | ||||
\(533\) | −0.821842 | − | 0.775368i | −0.0355979 | − | 0.0335849i | ||||
\(534\) | −19.6704 | + | 12.0195i | −0.851223 | + | 0.520134i | ||||
\(535\) | −0.305471 | − | 0.464446i | −0.0132066 | − | 0.0200797i | ||||
\(536\) | −12.1595 | + | 24.6681i | −0.525211 | + | 1.06550i | ||||
\(537\) | −10.6569 | + | 26.3122i | −0.459881 | + | 1.13545i | ||||
\(538\) | 16.5248 | − | 15.6681i | 0.712436 | − | 0.675501i | ||||
\(539\) | −5.08991 | − | 8.81598i | −0.219238 | − | 0.379731i | ||||
\(540\) | 0.569901 | + | 1.27178i | 0.0245246 | + | 0.0547285i | ||||
\(541\) | 8.02291 | − | 13.8961i | 0.344932 | − | 0.597439i | −0.640410 | − | 0.768034i | \(-0.721235\pi\) |
0.985341 | + | 0.170594i | \(0.0545687\pi\) | |||||||
\(542\) | −8.28456 | − | 34.5725i | −0.355852 | − | 1.48502i | ||||
\(543\) | 28.2588 | + | 6.03180i | 1.21270 | + | 0.258849i | ||||
\(544\) | 14.3042 | + | 13.1635i | 0.613287 | + | 0.564381i | ||||
\(545\) | −2.12279 | + | 0.123638i | −0.0909303 | + | 0.00529608i | ||||
\(546\) | 1.07315 | + | 0.161787i | 0.0459267 | + | 0.00692387i | ||||
\(547\) | 1.15504 | − | 4.87350i | 0.0493860 | − | 0.208376i | −0.942758 | − | 0.333478i | \(-0.891778\pi\) |
0.992144 | + | 0.125102i | \(0.0399259\pi\) | |||||||
\(548\) | −2.33082 | + | 0.147373i | −0.0995678 | + | 0.00629544i | ||||
\(549\) | −34.0573 | + | 31.2832i | −1.45353 | + | 1.33513i | ||||
\(550\) | 3.77156 | + | 12.4850i | 0.160820 | + | 0.532361i | ||||
\(551\) | −31.2258 | + | 15.6822i | −1.33026 | + | 0.668083i | ||||
\(552\) | 20.1089 | + | 15.8747i | 0.855894 | + | 0.675671i | ||||
\(553\) | 0.593358 | + | 1.37556i | 0.0252321 | + | 0.0584947i | ||||
\(554\) | −16.0647 | − | 27.6660i | −0.682524 | − | 1.17542i | ||||
\(555\) | −1.39882 | + | 0.279116i | −0.0593764 | + | 0.0118478i | ||||
\(556\) | −8.43750 | − | 9.95460i | −0.357830 | − | 0.422169i | ||||
\(557\) | 7.50701 | − | 20.6253i | 0.318082 | − | 0.873923i | −0.672877 | − | 0.739755i | \(-0.734941\pi\) |
0.990959 | − | 0.134168i | \(-0.0428363\pi\) | |||||||
\(558\) | −9.83352 | − | 1.25776i | −0.416286 | − | 0.0532451i | ||||
\(559\) | 0.284778 | + | 0.782420i | 0.0120448 | + | 0.0330929i | ||||
\(560\) | 1.84088 | − | 0.455654i | 0.0777915 | − | 0.0192549i | ||||
\(561\) | 4.72287 | − | 9.95430i | 0.199400 | − | 0.420271i | ||||
\(562\) | 20.9744 | + | 24.8707i | 0.884752 | + | 1.04911i | ||||
\(563\) | 7.48955 | − | 1.77506i | 0.315647 | − | 0.0748097i | −0.0697388 | − | 0.997565i | \(-0.522217\pi\) |
0.385386 | + | 0.922756i | \(0.374068\pi\) | |||||||
\(564\) | 11.5708 | − | 10.2618i | 0.487218 | − | 0.432100i | ||||
\(565\) | −2.12116 | + | 0.247928i | −0.0892379 | + | 0.0104304i | ||||
\(566\) | 37.2731 | + | 15.9684i | 1.56671 | + | 0.671202i | ||||
\(567\) | 19.7952 | + | 24.9118i | 0.831320 | + | 1.04620i | ||||
\(568\) | 7.23791 | − | 2.69561i | 0.303696 | − | 0.113105i | ||||
\(569\) | 0.632163 | + | 5.40850i | 0.0265016 | + | 0.226736i | 0.999998 | − | 0.00196619i | \(-0.000625858\pi\) |
−0.973496 | + | 0.228702i | \(0.926552\pi\) | |||||||
\(570\) | 1.44687 | − | 1.00410i | 0.0606027 | − | 0.0420573i | ||||
\(571\) | 2.37631 | + | 10.0264i | 0.0994456 | + | 0.419594i | 0.999881 | − | 0.0153948i | \(-0.00490052\pi\) |
−0.900436 | + | 0.434989i | \(0.856752\pi\) | |||||||
\(572\) | 0.135272 | + | 0.443806i | 0.00565600 | + | 0.0185564i | ||||
\(573\) | 0.381373 | + | 4.72170i | 0.0159321 | + | 0.197252i | ||||
\(574\) | −44.7862 | − | 5.12206i | −1.86934 | − | 0.213791i | ||||
\(575\) | 24.4828 | − | 8.91102i | 1.02100 | − | 0.371615i | ||||
\(576\) | −17.4826 | − | 16.4426i | −0.728441 | − | 0.685109i | ||||
\(577\) | −5.71655 | − | 2.08065i | −0.237983 | − | 0.0866188i | 0.220275 | − | 0.975438i | \(-0.429304\pi\) |
−0.458259 | + | 0.888819i | \(0.651527\pi\) | |||||||
\(578\) | 6.56848 | + | 3.27841i | 0.273213 | + | 0.136364i | ||||
\(579\) | 0.908635 | + | 0.307831i | 0.0377616 | + | 0.0127930i | ||||
\(580\) | −1.73512 | + | 0.211546i | −0.0720469 | + | 0.00878396i | ||||
\(581\) | 2.46709 | − | 1.06420i | 0.102352 | − | 0.0441504i | ||||
\(582\) | −2.96494 | − | 3.78223i | −0.122901 | − | 0.156779i | ||||
\(583\) | 7.03592 | + | 14.0097i | 0.291398 | + | 0.580221i | ||||
\(584\) | 4.92925 | − | 8.68651i | 0.203974 | − | 0.359450i | ||||
\(585\) | 0.0499938 | + | 0.00652067i | 0.00206699 | + | 0.000269597i | ||||
\(586\) | −2.10470 | − | 4.16497i | −0.0869442 | − | 0.172054i | ||||
\(587\) | −37.2487 | − | 8.82810i | −1.53742 | − | 0.364375i | −0.627318 | − | 0.778763i | \(-0.715847\pi\) |
−0.910100 | + | 0.414388i | \(0.863996\pi\) | |||||||
\(588\) | 16.7834 | − | 9.01264i | 0.692136 | − | 0.371675i | ||||
\(589\) | 0.728440 | + | 12.5068i | 0.0300148 | + | 0.515335i | ||||
\(590\) | −1.41391 | + | 1.69355i | −0.0582096 | + | 0.0697224i | ||||
\(591\) | 41.8769 | − | 13.5671i | 1.72258 | − | 0.558077i | ||||
\(592\) | 20.3880 | − | 13.7014i | 0.837942 | − | 0.563125i | ||||
\(593\) | −5.69341 | − | 3.28709i | −0.233800 | − | 0.134985i | 0.378524 | − | 0.925592i | \(-0.376432\pi\) |
−0.612324 | + | 0.790607i | \(0.709765\pi\) | |||||||
\(594\) | −5.96401 | + | 12.2256i | −0.244706 | + | 0.501624i | ||||
\(595\) | −1.41096 | + | 0.814620i | −0.0578438 | + | 0.0333962i | ||||
\(596\) | −8.10442 | − | 21.9273i | −0.331970 | − | 0.898176i | ||||
\(597\) | −0.223839 | + | 0.174575i | −0.00916113 | + | 0.00714488i | ||||
\(598\) | 0.870162 | − | 0.319162i | 0.0355836 | − | 0.0130515i | ||||
\(599\) | 6.12354 | − | 4.02752i | 0.250201 | − | 0.164560i | −0.418213 | − | 0.908349i | \(-0.637344\pi\) |
0.668415 | + | 0.743789i | \(0.266973\pi\) | |||||||
\(600\) | −23.5702 | + | 6.33528i | −0.962251 | + | 0.258637i | ||||
\(601\) | 33.1119 | − | 35.0966i | 1.35066 | − | 1.43162i | 0.546144 | − | 0.837691i | \(-0.316095\pi\) |
0.804518 | − | 0.593928i | \(-0.202423\pi\) | |||||||
\(602\) | 27.7995 | + | 18.1853i | 1.13302 | + | 0.741177i | ||||
\(603\) | −5.44821 | + | 28.6571i | −0.221868 | + | 1.16701i | ||||
\(604\) | −28.9610 | − | 21.3379i | −1.17841 | − | 0.868228i | ||||
\(605\) | −0.558087 | + | 0.848530i | −0.0226894 | + | 0.0344976i | ||||
\(606\) | 1.65758 | + | 0.0551793i | 0.0673344 | + | 0.00224151i | ||||
\(607\) | 0.123763 | − | 1.05886i | 0.00502340 | − | 0.0429779i | −0.990494 | − | 0.137555i | \(-0.956076\pi\) |
0.995518 | + | 0.0945768i | \(0.0301498\pi\) | |||||||
\(608\) | −16.3503 | + | 25.5446i | −0.663092 | + | 1.03597i | ||||
\(609\) | −37.1869 | + | 14.4869i | −1.50689 | + | 0.587040i | ||||
\(610\) | 1.61249 | + | 2.43846i | 0.0652878 | + | 0.0987304i | ||||
\(611\) | −0.0971565 | − | 0.551002i | −0.00393053 | − | 0.0222912i | ||||
\(612\) | 18.3472 | + | 9.40759i | 0.741643 | + | 0.380279i | ||||
\(613\) | −7.12245 | + | 40.3934i | −0.287673 | + | 1.63148i | 0.407904 | + | 0.913025i | \(0.366260\pi\) |
−0.695577 | + | 0.718451i | \(0.744851\pi\) | |||||||
\(614\) | −32.7428 | + | 14.2204i | −1.32139 | + | 0.573888i | ||||
\(615\) | −2.08490 | − | 0.196428i | −0.0840711 | − | 0.00792075i | ||||
\(616\) | 14.9297 | + | 10.9428i | 0.601533 | + | 0.440899i | ||||
\(617\) | −27.7249 | + | 26.1571i | −1.11616 | + | 1.05305i | −0.117966 | + | 0.993018i | \(0.537638\pi\) |
−0.998197 | + | 0.0600280i | \(0.980881\pi\) | |||||||
\(618\) | −2.64618 | − | 10.0437i | −0.106445 | − | 0.404018i | ||||
\(619\) | −0.669918 | − | 0.288975i | −0.0269263 | − | 0.0116149i | 0.382574 | − | 0.923925i | \(-0.375038\pi\) |
−0.409500 | + | 0.912310i | \(0.634297\pi\) | |||||||
\(620\) | −0.176757 | + | 0.601259i | −0.00709871 | + | 0.0241472i | ||||
\(621\) | 25.0482 | + | 10.5362i | 1.00515 | + | 0.422801i | ||||
\(622\) | −11.0086 | − | 14.7108i | −0.441406 | − | 0.589848i | ||||
\(623\) | 19.8685 | + | 26.6881i | 0.796016 | + | 1.06923i | ||||
\(624\) | −0.837925 | + | 0.227453i | −0.0335439 | + | 0.00910539i | ||||
\(625\) | −7.09281 | + | 23.6916i | −0.283712 | + | 0.947665i | ||||
\(626\) | 9.67324 | + | 3.49359i | 0.386620 | + | 0.139632i | ||||
\(627\) | 16.5743 | + | 4.55979i | 0.661913 | + | 0.182100i | ||||
\(628\) | −1.02391 | − | 1.75330i | −0.0408584 | − | 0.0699642i | ||||
\(629\) | −13.5649 | + | 16.1660i | −0.540868 | + | 0.644582i | ||||
\(630\) | 1.75281 | − | 0.986762i | 0.0698335 | − | 0.0393135i | ||||
\(631\) | 19.4819 | + | 23.2176i | 0.775561 | + | 0.924278i | 0.998724 | − | 0.0505032i | \(-0.0160825\pi\) |
−0.223163 | + | 0.974781i | \(0.571638\pi\) | |||||||
\(632\) | −0.877855 | − | 0.815940i | −0.0349192 | − | 0.0324563i | ||||
\(633\) | 21.8184 | + | 11.9529i | 0.867203 | + | 0.475086i | ||||
\(634\) | 0.00823282 | + | 3.31564i | 0.000326967 | + | 0.131681i | ||||
\(635\) | 1.61739 | − | 2.17254i | 0.0641844 | − | 0.0862146i | ||||
\(636\) | −26.6102 | + | 12.3534i | −1.05516 | + | 0.489843i | ||||
\(637\) | 0.0400722 | − | 0.688013i | 0.00158772 | − | 0.0272601i | ||||
\(638\) | −12.4390 | − | 11.6774i | −0.492466 | − | 0.462312i | ||||
\(639\) | 6.63575 | − | 4.80387i | 0.262506 | − | 0.190038i | ||||
\(640\) | −1.20104 | + | 0.927018i | −0.0474754 | + | 0.0366436i | ||||
\(641\) | −19.4943 | + | 5.83620i | −0.769977 | + | 0.230516i | −0.647613 | − | 0.761969i | \(-0.724233\pi\) |
−0.122364 | + | 0.992485i | \(0.539048\pi\) | |||||||
\(642\) | 9.62511 | + | 3.23421i | 0.379873 | + | 0.127644i | ||||
\(643\) | −3.87867 | + | 7.72306i | −0.152960 | + | 0.304568i | −0.957042 | − | 0.289951i | \(-0.906361\pi\) |
0.804082 | + | 0.594519i | \(0.202657\pi\) | |||||||
\(644\) | 20.1661 | − | 30.9952i | 0.794655 | − | 1.22138i | ||||
\(645\) | 1.30802 | + | 0.818897i | 0.0515034 | + | 0.0322440i | ||||
\(646\) | 7.41094 | − | 24.9799i | 0.291580 | − | 0.982819i | ||||
\(647\) | 27.6877 | 1.08852 | 0.544258 | − | 0.838918i | \(-0.316811\pi\) | ||||
0.544258 | + | 0.838918i | \(0.316811\pi\) | |||||||
\(648\) | −22.5242 | − | 11.8600i | −0.884835 | − | 0.465904i | ||||
\(649\) | −21.5339 | −0.845278 | ||||||||
\(650\) | −0.251136 | + | 0.846497i | −0.00985036 | + | 0.0332023i | ||||
\(651\) | −0.511569 | + | 14.2996i | −0.0200500 | + | 0.560444i | ||||
\(652\) | −11.8592 | + | 18.2275i | −0.464440 | + | 0.713843i | ||||
\(653\) | 5.98683 | − | 11.9208i | 0.234283 | − | 0.466496i | −0.745514 | − | 0.666490i | \(-0.767796\pi\) |
0.979797 | + | 0.199994i | \(0.0640923\pi\) | |||||||
\(654\) | 29.1226 | − | 25.6991i | 1.13878 | − | 1.00492i | ||||
\(655\) | 1.36744 | − | 0.409385i | 0.0534303 | − | 0.0159960i | ||||
\(656\) | 34.4440 | − | 10.6857i | 1.34481 | − | 0.417208i | ||||
\(657\) | 2.58034 | − | 10.2744i | 0.100668 | − | 0.400844i | ||||
\(658\) | −16.2746 | − | 15.2781i | −0.634449 | − | 0.595601i | ||||
\(659\) | −2.02191 | + | 34.7148i | −0.0787623 | + | 1.35230i | 0.695087 | + | 0.718926i | \(0.255366\pi\) |
−0.773849 | + | 0.633370i | \(0.781671\pi\) | |||||||
\(660\) | 0.703561 | + | 0.494428i | 0.0273861 | + | 0.0192456i | ||||
\(661\) | −13.7427 | + | 18.4597i | −0.534531 | + | 0.717999i | −0.984566 | − | 0.175011i | \(-0.944004\pi\) |
0.450036 | + | 0.893011i | \(0.351411\pi\) | |||||||
\(662\) | 0.0460613 | + | 18.5505i | 0.00179022 | + | 0.720984i | ||||
\(663\) | 0.637460 | − | 0.387345i | 0.0247569 | − | 0.0150432i | ||||
\(664\) | −1.46340 | + | 1.57445i | −0.0567911 | + | 0.0611005i | ||||
\(665\) | −1.63392 | − | 1.94724i | −0.0633609 | − | 0.0755106i | ||||
\(666\) | 16.9631 | − | 19.7757i | 0.657307 | − | 0.766293i | ||||
\(667\) | −21.9082 | + | 26.1091i | −0.848288 | + | 1.01095i | ||||
\(668\) | −6.10688 | − | 10.4572i | −0.236282 | − | 0.404600i | ||||
\(669\) | 0.422690 | + | 1.62067i | 0.0163421 | + | 0.0626587i | ||||
\(670\) | 1.73440 | + | 0.626396i | 0.0670056 | + | 0.0241998i | ||||
\(671\) | −8.18374 | + | 27.3356i | −0.315930 | + | 1.05528i | ||||
\(672\) | −21.3286 | + | 27.2952i | −0.822768 | + | 1.05293i | ||||
\(673\) | −0.819702 | − | 1.10105i | −0.0315972 | − | 0.0424424i | 0.786044 | − | 0.618171i | \(-0.212126\pi\) |
−0.817641 | + | 0.575728i | \(0.804719\pi\) | |||||||
\(674\) | −18.5894 | − | 24.8408i | −0.716036 | − | 0.956833i | ||||
\(675\) | −22.3007 | + | 13.1466i | −0.858354 | + | 0.506012i | ||||
\(676\) | 7.32424 | − | 24.9143i | 0.281702 | − | 0.958243i | ||||
\(677\) | 22.3657 | + | 9.64762i | 0.859584 | + | 0.370788i | 0.779804 | − | 0.626024i | \(-0.215319\pi\) |
0.0797802 | + | 0.996812i | \(0.474578\pi\) | |||||||
\(678\) | 27.6986 | − | 27.4675i | 1.06376 | − | 1.05488i | ||||
\(679\) | −5.04540 | + | 4.76008i | −0.193624 | + | 0.182675i | ||||
\(680\) | 0.770543 | − | 1.05128i | 0.0295490 | − | 0.0403147i | ||||
\(681\) | 23.5707 | − | 33.1890i | 0.903232 | − | 1.27181i | ||||
\(682\) | −5.61074 | + | 2.43678i | −0.214846 | + | 0.0933091i | ||||
\(683\) | 5.85079 | − | 33.1815i | 0.223874 | − | 1.26966i | −0.640951 | − | 0.767582i | \(-0.721460\pi\) |
0.864825 | − | 0.502073i | \(-0.167429\pi\) | |||||||
\(684\) | −9.48398 | + | 30.7392i | −0.362629 | + | 1.17534i | ||||
\(685\) | 0.0271926 | + | 0.154217i | 0.00103898 | + | 0.00589232i | ||||
\(686\) | 4.13862 | + | 6.25856i | 0.158013 | + | 0.238953i | ||||
\(687\) | −21.7025 | − | 17.3967i | −0.828003 | − | 0.663725i | ||||
\(688\) | −26.2169 | − | 4.35472i | −0.999510 | − | 0.166022i | ||||
\(689\) | −0.123216 | + | 1.05418i | −0.00469415 | + | 0.0401610i | ||||
\(690\) | 0.907938 | − | 1.45829i | 0.0345646 | − | 0.0555161i | ||||
\(691\) | 2.73582 | − | 4.15961i | 0.104075 | − | 0.158239i | −0.779695 | − | 0.626159i | \(-0.784626\pi\) |
0.883771 | + | 0.467920i | \(0.154996\pi\) | |||||||
\(692\) | −27.2301 | − | 20.0627i | −1.03513 | − | 0.762669i | ||||
\(693\) | 18.3581 | + | 6.96056i | 0.697367 | + | 0.264410i | ||||
\(694\) | 15.0500 | + | 9.84507i | 0.571289 | + | 0.373714i | ||||
\(695\) | −0.600442 | + | 0.636431i | −0.0227761 | + | 0.0241412i | ||||
\(696\) | 22.5590 | − | 22.5942i | 0.855098 | − | 0.856430i | ||||
\(697\) | −25.8854 | + | 17.0251i | −0.980479 | + | 0.644871i | ||||
\(698\) | 22.9576 | − | 8.42048i | 0.868956 | − | 0.318720i | ||||
\(699\) | 5.12991 | + | 36.7286i | 0.194031 | + | 1.38920i | ||||
\(700\) | 12.2127 | + | 33.0425i | 0.461595 | + | 1.24889i | ||||
\(701\) | 17.0370 | − | 9.83630i | 0.643478 | − | 0.371512i | −0.142475 | − | 0.989798i | \(-0.545506\pi\) |
0.785953 | + | 0.618286i | \(0.212173\pi\) | |||||||
\(702\) | −0.792161 | + | 0.469645i | −0.0298982 | + | 0.0177256i | ||||
\(703\) | −28.5141 | − | 16.4626i | −1.07543 | − | 0.620899i | ||||
\(704\) | −14.4589 | − | 3.20010i | −0.544942 | − | 0.120608i | ||||
\(705\) | −0.770041 | − | 0.694539i | −0.0290014 | − | 0.0261579i | ||||
\(706\) | −5.85739 | + | 7.01587i | −0.220446 | + | 0.264046i | ||||
\(707\) | −0.139185 | − | 2.38971i | −0.00523459 | − | 0.0898745i | ||||
\(708\) | 1.24073 | − | 40.2788i | 0.0466295 | − | 1.51377i | ||||
\(709\) | −10.3493 | − | 2.45284i | −0.388678 | − | 0.0921183i | 0.0316306 | − | 0.999500i | \(-0.489930\pi\) |
−0.420308 | + | 0.907381i | \(0.638078\pi\) | |||||||
\(710\) | −0.233570 | − | 0.462210i | −0.00876571 | − | 0.0173464i | ||||
\(711\) | −1.12827 | − | 0.585616i | −0.0423134 | − | 0.0219623i | ||||
\(712\) | −23.1505 | − | 13.1370i | −0.867601 | − | 0.492329i | ||||
\(713\) | 5.48427 | + | 10.9201i | 0.205388 | + | 0.408960i | ||||
\(714\) | 11.1031 | − | 27.6107i | 0.415524 | − | 1.03330i | ||||
\(715\) | 0.0285650 | − | 0.0123217i | 0.00106827 | − | 0.000460806i | ||||
\(716\) | −32.5391 | + | 3.96718i | −1.21605 | + | 0.148260i | ||||
\(717\) | 20.9073 | − | 18.3574i | 0.780797 | − | 0.685571i | ||||
\(718\) | −17.9717 | − | 8.96990i | −0.670697 | − | 0.334754i | ||||
\(719\) | 23.1617 | + | 8.43017i | 0.863786 | + | 0.314392i | 0.735648 | − | 0.677364i | \(-0.236878\pi\) |
0.128138 | + | 0.991756i | \(0.459100\pi\) | |||||||
\(720\) | −0.965358 | + | 1.28751i | −0.0359768 | + | 0.0479827i | ||||
\(721\) | −14.0871 | + | 5.12728i | −0.524631 | + | 0.190950i | ||||
\(722\) | 13.6932 | + | 1.56605i | 0.509608 | + | 0.0582823i | ||||
\(723\) | 15.5373 | − | 10.7256i | 0.577839 | − | 0.398889i | ||||
\(724\) | 9.72794 | + | 31.9159i | 0.361536 | + | 1.18614i | ||||
\(725\) | −7.48794 | − | 31.5941i | −0.278095 | − | 1.17338i | ||||
\(726\) | −1.53942 | − | 18.4870i | −0.0571331 | − | 0.686118i | ||||
\(727\) | 0.0317376 | + | 0.271532i | 0.00117708 | + | 0.0100706i | 0.993814 | − | 0.111056i | \(-0.0354233\pi\) |
−0.992637 | + | 0.121127i | \(0.961349\pi\) | |||||||
\(728\) | 0.437371 | + | 1.17437i | 0.0162100 | + | 0.0435251i | ||||
\(729\) | −26.3809 | − | 5.74876i | −0.977070 | − | 0.212917i | ||||
\(730\) | −0.615569 | − | 0.263719i | −0.0227832 | − | 0.00976069i | ||||
\(731\) | 22.6773 | − | 2.65060i | 0.838751 | − | 0.0980359i | ||||
\(732\) | −50.6592 | − | 16.8826i | −1.87242 | − | 0.623997i | ||||
\(733\) | −7.64486 | + | 1.81187i | −0.282369 | + | 0.0669228i | −0.369360 | − | 0.929286i | \(-0.620423\pi\) |
0.0869907 | + | 0.996209i | \(0.472275\pi\) | |||||||
\(734\) | 10.3490 | + | 12.2715i | 0.381990 | + | 0.452949i | ||||
\(735\) | −0.725653 | − | 1.05120i | −0.0267661 | − | 0.0387740i | ||||
\(736\) | −4.77499 | + | 29.1953i | −0.176008 | + | 1.07615i | ||||
\(737\) | 6.15607 | + | 16.9137i | 0.226762 | + | 0.623023i | ||||
\(738\) | 32.1847 | − | 20.6711i | 1.18474 | − | 0.760912i | ||||
\(739\) | −5.24470 | + | 14.4097i | −0.192929 | + | 0.530069i | −0.998007 | − | 0.0631003i | \(-0.979901\pi\) |
0.805078 | + | 0.593169i | \(0.202123\pi\) | |||||||
\(740\) | −1.06496 | − | 1.25644i | −0.0391487 | − | 0.0461878i | ||||
\(741\) | 0.767857 | + | 0.874512i | 0.0282079 | + | 0.0321260i | ||||
\(742\) | 21.2632 | + | 36.6187i | 0.780597 | + | 1.34431i | ||||
\(743\) | 12.2679 | + | 28.4402i | 0.450066 | + | 1.04337i | 0.980655 | + | 0.195742i | \(0.0627115\pi\) |
−0.530589 | + | 0.847629i | \(0.678029\pi\) | |||||||
\(744\) | −4.23468 | − | 10.6352i | −0.155251 | − | 0.389905i | ||||
\(745\) | −1.40073 | + | 0.703472i | −0.0513187 | + | 0.0257732i | ||||
\(746\) | 10.0558 | + | 33.2876i | 0.368168 | + | 1.21874i | ||||
\(747\) | −1.05031 | + | 2.02357i | −0.0384290 | + | 0.0740385i | ||||
\(748\) | 12.6970 | − | 0.802802i | 0.464248 | − | 0.0293534i | ||||
\(749\) | 3.37981 | − | 14.2605i | 0.123496 | − | 0.521069i | ||||
\(750\) | 1.19782 | + | 3.05229i | 0.0437382 | + | 0.111454i | ||||
\(751\) | 32.9708 | − | 1.92033i | 1.20312 | − | 0.0700737i | 0.555157 | − | 0.831746i | \(-0.312658\pi\) |
0.647963 | + | 0.761672i | \(0.275621\pi\) | |||||||
\(752\) | 16.8411 | + | 5.94091i | 0.614132 | + | 0.216643i | ||||
\(753\) | 25.1109 | − | 27.8407i | 0.915093 | − | 1.01457i | ||||
\(754\) | −0.269166 | − | 1.12326i | −0.00980245 | − | 0.0409069i | ||||
\(755\) | −1.20601 | + | 2.08887i | −0.0438911 | + | 0.0760216i | ||||
\(756\) | −14.0774 | + | 33.9375i | −0.511989 | + | 1.23430i | ||||
\(757\) | 19.1215 | + | 33.1194i | 0.694983 | + | 1.20375i | 0.970186 | + | 0.242360i | \(0.0779215\pi\) |
−0.275203 | + | 0.961386i | \(0.588745\pi\) | |||||||
\(758\) | −35.0981 | + | 33.2785i | −1.27482 | + | 1.20873i | ||||
\(759\) | 16.6061 | − | 2.31938i | 0.602762 | − | 0.0841882i | ||||
\(760\) | 1.82404 | + | 0.899117i | 0.0661650 | + | 0.0326144i | ||||
\(761\) | 5.38059 | + | 8.18079i | 0.195046 | + | 0.296554i | 0.919748 | − | 0.392509i | \(-0.128393\pi\) |
−0.724702 | + | 0.689063i | \(0.758022\pi\) | |||||||
\(762\) | 1.23178 | + | 49.4575i | 0.0446228 | + | 1.79166i | ||||
\(763\) | −40.7763 | − | 38.4705i | −1.47620 | − | 1.39272i | ||||
\(764\) | −4.55506 | + | 3.02842i | −0.164796 | + | 0.109564i | ||||
\(765\) | 0.490131 | − | 1.29269i | 0.0177207 | − | 0.0467375i | ||||
\(766\) | −13.6343 | − | 3.19565i | −0.492627 | − | 0.115464i | ||||
\(767\) | −1.21802 | − | 0.801104i | −0.0439802 | − | 0.0289262i | ||||
\(768\) | 6.81883 | − | 26.8608i | 0.246053 | − | 0.969256i | ||||
\(769\) | −14.5198 | − | 1.69712i | −0.523598 | − | 0.0611999i | −0.149812 | − | 0.988715i | \(-0.547867\pi\) |
−0.373787 | + | 0.927515i | \(0.621941\pi\) | |||||||
\(770\) | 0.617904 | − | 1.07640i | 0.0222677 | − | 0.0387909i | ||||
\(771\) | −22.3707 | + | 27.9076i | −0.805660 | + | 1.00507i | ||||
\(772\) | 0.197779 | + | 1.08998i | 0.00711821 | + | 0.0392292i | ||||
\(773\) | −28.7715 | + | 5.07319i | −1.03484 | + | 0.182470i | −0.665169 | − | 0.746693i | \(-0.731641\pi\) |
−0.369670 | + | 0.929163i | \(0.620529\pi\) | |||||||
\(774\) | −28.0315 | + | 2.96824i | −1.00757 | + | 0.106691i | ||||
\(775\) | −11.4644 | − | 2.02149i | −0.411815 | − | 0.0726141i | ||||
\(776\) | 2.15995 | − | 5.11170i | 0.0775378 | − | 0.183499i | ||||
\(777\) | −30.6597 | − | 21.7744i | −1.09991 | − | 0.781153i | ||||
\(778\) | 10.3024 | − | 1.84298i | 0.369358 | − | 0.0660739i | ||||
\(779\) | −33.1720 | − | 35.1602i | −1.18851 | − | 1.25975i | ||||
\(780\) | 0.0214017 | + | 0.0541402i | 0.000766305 | + | 0.00193853i | ||||
\(781\) | 2.00211 | − | 4.64140i | 0.0716410 | − | 0.166082i | ||||
\(782\) | −3.01319 | − | 25.2359i | −0.107751 | − | 0.902433i | ||||
\(783\) | 16.6656 | − | 29.4803i | 0.595580 | − | 1.05354i | ||||
\(784\) | 18.4976 | + | 11.9046i | 0.660629 | + | 0.425164i | ||||
\(785\) | −0.109200 | + | 0.0812965i | −0.00389752 | + | 0.00290160i | ||||
\(786\) | −15.0441 | + | 21.2948i | −0.536605 | + | 0.759561i | ||||
\(787\) | −4.09388 | − | 1.22563i | −0.145931 | − | 0.0436889i | 0.213005 | − | 0.977051i | \(-0.431675\pi\) |
−0.358936 | + | 0.933362i | \(0.616860\pi\) | |||||||
\(788\) | 37.1449 | + | 34.6974i | 1.32323 | + | 1.23604i | ||||
\(789\) | 4.98964 | − | 1.30136i | 0.177636 | − | 0.0463295i | ||||
\(790\) | −0.0478276 | + | 0.0645777i | −0.00170163 | + | 0.00229757i | ||||
\(791\) | −43.1303 | − | 36.1906i | −1.53354 | − | 1.28679i | ||||
\(792\) | −15.6857 | + | 0.820866i | −0.557366 | + | 0.0291682i | ||||
\(793\) | −1.47984 | + | 1.24173i | −0.0525505 | + | 0.0440951i | ||||
\(794\) | −1.22038 | − | 20.0934i | −0.0433096 | − | 0.713090i | ||||
\(795\) | 1.02151 | + | 1.68111i | 0.0362291 | + | 0.0596229i | ||||
\(796\) | −0.301615 | − | 0.128331i | −0.0106905 | − | 0.00454858i | ||||
\(797\) | −12.4725 | − | 9.28543i | −0.441799 | − | 0.328907i | 0.353168 | − | 0.935560i | \(-0.385104\pi\) |
−0.794967 | + | 0.606653i | \(0.792512\pi\) | |||||||
\(798\) | 45.4317 | + | 9.57945i | 1.60827 | + | 0.339109i | ||||
\(799\) | −15.3162 | − | 0.892065i | −0.541847 | − | 0.0315590i | ||||
\(800\) | −19.5930 | − | 20.2576i | −0.692718 | − | 0.716213i | ||||
\(801\) | −27.3825 | − | 6.87688i | −0.967512 | − | 0.242982i | ||||
\(802\) | −41.4573 | − | 2.31134i | −1.46391 | − | 0.0816163i | ||||
\(803\) | −1.87470 | − | 6.26195i | −0.0661569 | − | 0.220979i | ||||
\(804\) | −31.9915 | + | 10.5403i | −1.12825 | + | 0.371728i | ||||
\(805\) | −2.21568 | − | 1.11276i | −0.0780926 | − | 0.0392196i | ||||
\(806\) | −0.408013 | − | 0.0708996i | −0.0143717 | − | 0.00249733i | ||||
\(807\) | 27.8720 | + | 0.997123i | 0.981139 | + | 0.0351004i | ||||
\(808\) | 0.872203 | + | 1.70491i | 0.0306840 | + | 0.0599786i | ||||
\(809\) | 14.1486i | 0.497440i | 0.968575 | + | 0.248720i | \(0.0800098\pi\) | ||||
−0.968575 | + | 0.248720i | \(0.919990\pi\) | |||||||
\(810\) | −0.622415 | + | 1.58931i | −0.0218694 | + | 0.0558426i | ||||
\(811\) | − | 7.96204i | − | 0.279585i | −0.990181 | − | 0.139793i | \(-0.955356\pi\) | ||
0.990181 | − | 0.139793i | \(-0.0446436\pi\) | |||||||
\(812\) | −35.4484 | − | 29.4460i | −1.24399 | − | 1.03335i | ||||
\(813\) | 23.1048 | − | 36.9054i | 0.810322 | − | 1.29433i | ||||
\(814\) | 2.75232 | − | 15.8390i | 0.0964686 | − | 0.555158i | ||||
\(815\) | 1.30299 | + | 0.654384i | 0.0456416 | + | 0.0229221i | ||||
\(816\) | 0.770058 | + | 23.7958i | 0.0269574 | + | 0.833019i | ||||
\(817\) | 10.2165 | + | 34.1254i | 0.357430 | + | 1.19390i | ||||
\(818\) | −2.87761 | + | 51.6143i | −0.100613 | + | 1.80465i | ||||
\(819\) | 0.779443 | + | 1.07667i | 0.0272359 | + | 0.0376219i | ||||
\(820\) | −0.968772 | − | 2.21555i | −0.0338310 | − | 0.0773703i | ||||
\(821\) | 11.1936 | + | 0.651955i | 0.390660 | + | 0.0227534i | 0.252351 | − | 0.967636i | \(-0.418796\pi\) |
0.138309 | + | 0.990389i | \(0.455833\pi\) | |||||||
\(822\) | −2.12878 | − | 1.91049i | −0.0742497 | − | 0.0666360i | ||||
\(823\) | −32.5864 | − | 24.2597i | −1.13589 | − | 0.845639i | −0.146256 | − | 0.989247i | \(-0.546722\pi\) |
−0.989635 | + | 0.143608i | \(0.954130\pi\) | |||||||
\(824\) | 8.66204 | − | 8.29503i | 0.301756 | − | 0.288971i | ||||
\(825\) | −7.67459 | + | 14.0089i | −0.267195 | + | 0.487727i | ||||
\(826\) | −58.0564 | + | 3.52607i | −2.02004 | + | 0.122688i | ||||
\(827\) | 33.6537 | − | 28.2388i | 1.17025 | − | 0.981961i | 0.170261 | − | 0.985399i | \(-0.445539\pi\) |
0.999994 | + | 0.00343850i | \(0.00109451\pi\) | |||||||
\(828\) | 3.38156 | + | 31.1950i | 0.117517 | + | 1.08410i | ||||
\(829\) | 16.2280 | + | 13.6169i | 0.563623 | + | 0.472936i | 0.879523 | − | 0.475857i | \(-0.157862\pi\) |
−0.315900 | + | 0.948792i | \(0.602306\pi\) | |||||||
\(830\) | 0.115821 | + | 0.0857796i | 0.00402022 | + | 0.00297745i | ||||
\(831\) | 10.3933 | − | 37.7784i | 0.360539 | − | 1.31052i | ||||
\(832\) | −0.698790 | − | 0.718910i | −0.0242262 | − | 0.0249237i | ||||
\(833\) | −18.1041 | − | 5.42001i | −0.627269 | − | 0.187792i | ||||
\(834\) | 1.45960 | − | 15.9153i | 0.0505418 | − | 0.551103i | ||||
\(835\) | −0.651301 | + | 0.484875i | −0.0225392 | + | 0.0167798i | ||||
\(836\) | 4.67344 | + | 19.2914i | 0.161634 | + | 0.667206i | ||||
\(837\) | −7.33859 | − | 9.67291i | −0.253659 | − | 0.334345i | ||||
\(838\) | −42.6085 | + | 5.08750i | −1.47189 | + | 0.175745i | ||||
\(839\) | −6.11041 | + | 14.1655i | −0.210955 | + | 0.489048i | −0.990536 | − | 0.137253i | \(-0.956173\pi\) |
0.779581 | + | 0.626301i | \(0.215432\pi\) | |||||||
\(840\) | 1.97779 | + | 1.21780i | 0.0682404 | + | 0.0420181i | ||||
\(841\) | 9.24731 | + | 9.80158i | 0.318873 | + | 0.337985i | ||||
\(842\) | 6.87077 | + | 38.4081i | 0.236782 | + | 1.32363i | ||||
\(843\) | −3.73754 | + | 39.6705i | −0.128728 | + | 1.36632i | ||||
\(844\) | 0.142657 | + | 28.7263i | 0.00491045 | + | 0.988799i | ||||
\(845\) | −1.71477 | − | 0.302360i | −0.0589897 | − | 0.0104015i | ||||
\(846\) | 18.8964 | + | 1.30662i | 0.649672 | + | 0.0449226i | ||||
\(847\) | −26.3686 | + | 4.64949i | −0.906035 | + | 0.159758i | ||||
\(848\) | −27.3727 | − | 19.9587i | −0.939981 | − | 0.685386i | ||||
\(849\) | 18.0276 | + | 46.2755i | 0.618705 | + | 1.58817i | ||||
\(850\) | 20.9980 | + | 12.0538i | 0.720226 | + | 0.413442i | ||||
\(851\) | −31.8982 | − | 3.72837i | −1.09346 | − | 0.127807i | ||||
\(852\) | 8.56631 | + | 4.01233i | 0.293477 | + | 0.137460i | ||||
\(853\) | −36.1376 | − | 23.7680i | −1.23733 | − | 0.813802i | −0.249351 | − | 0.968413i | \(-0.580217\pi\) |
−0.987975 | + | 0.154611i | \(0.950588\pi\) | |||||||
\(854\) | −17.5877 | + | 75.0382i | −0.601839 | + | 2.56775i | ||||
\(855\) | 2.11901 | + | 0.402860i | 0.0724685 | + | 0.0137775i | ||||
\(856\) | 2.12194 | + | 11.5312i | 0.0725264 | + | 0.394127i | ||||
\(857\) | −38.1668 | − | 36.0085i | −1.30375 | − | 1.23003i | −0.956319 | − | 0.292324i | \(-0.905571\pi\) |
−0.347434 | − | 0.937704i | \(-0.612947\pi\) | |||||||
\(858\) | −0.271778 | + | 0.499029i | −0.00927834 | + | 0.0170366i | ||||
\(859\) | 9.70608 | + | 14.7574i | 0.331167 | + | 0.503515i | 0.962238 | − | 0.272210i | \(-0.0877546\pi\) |
−0.631071 | + | 0.775725i | \(0.717384\pi\) | |||||||
\(860\) | −0.0947759 | + | 1.77943i | −0.00323183 | + | 0.0606781i | ||||
\(861\) | −33.9531 | − | 43.5345i | −1.15712 | − | 1.48365i | ||||
\(862\) | −34.9807 | − | 36.8934i | −1.19145 | − | 1.25659i | ||||
\(863\) | −3.30363 | − | 5.72205i | −0.112457 | − | 0.194781i | 0.804303 | − | 0.594219i | \(-0.202539\pi\) |
−0.916760 | + | 0.399438i | \(0.869205\pi\) | |||||||
\(864\) | −0.631646 | − | 29.3871i | −0.0214890 | − | 0.999769i | ||||
\(865\) | −1.13393 | + | 1.96403i | −0.0385548 | + | 0.0667789i | ||||
\(866\) | 52.8989 | − | 12.6761i | 1.79758 | − | 0.430751i | ||||
\(867\) | 2.77109 | + | 8.55338i | 0.0941113 | + | 0.290488i | ||||
\(868\) | −14.7278 | + | 7.48841i | −0.499895 | + | 0.254173i | ||||
\(869\) | −0.783044 | + | 0.0456071i | −0.0265629 | + | 0.00154712i | ||||
\(870\) | −1.67371 | − | 1.33483i | −0.0567442 | − | 0.0452550i | ||||
\(871\) | −0.281018 | + | 1.18571i | −0.00952192 | + | 0.0401761i | ||||
\(872\) | 42.2573 | + | 15.0249i | 1.43101 | + | 0.508807i | ||||
\(873\) | 0.761253 | − | 5.83650i | 0.0257645 | − | 0.197536i | ||||
\(874\) | 37.9584 | − | 11.4668i | 1.28396 | − | 0.387870i | ||||
\(875\) | 4.22917 | − | 2.12397i | 0.142972 | − | 0.0718033i | ||||
\(876\) | 11.8209 | − | 3.14580i | 0.399391 | − | 0.106287i | ||||
\(877\) | −6.61906 | − | 15.3447i | −0.223510 | − | 0.518154i | 0.769154 | − | 0.639064i | \(-0.220678\pi\) |
−0.992663 | + | 0.120910i | \(0.961419\pi\) | |||||||
\(878\) | 40.3076 | − | 23.4052i | 1.36031 | − | 0.789888i | ||||
\(879\) | 1.83388 | − | 5.41313i | 0.0618553 | − | 0.182580i | ||||
\(880\) | −0.105473 | + | 0.987329i | −0.00355550 | + | 0.0332828i | ||||
\(881\) | 9.35072 | − | 25.6909i | 0.315034 | − | 0.865548i | −0.676587 | − | 0.736363i | \(-0.736542\pi\) |
0.991621 | − | 0.129185i | \(-0.0412361\pi\) | |||||||
\(882\) | 22.2775 | + | 6.93391i | 0.750122 | + | 0.233477i | ||||
\(883\) | −13.4022 | − | 36.8223i | −0.451021 | − | 1.23917i | −0.932006 | − | 0.362442i | \(-0.881943\pi\) |
0.480985 | − | 0.876729i | \(-0.340279\pi\) | |||||||
\(884\) | 0.748046 | + | 0.426946i | 0.0251595 | + | 0.0143597i | ||||
\(885\) | −2.69324 | + | 0.217534i | −0.0905323 | + | 0.00731232i | ||||
\(886\) | 4.48351 | − | 3.78113i | 0.150627 | − | 0.127029i | ||||
\(887\) | 3.25305 | − | 0.770986i | 0.109227 | − | 0.0258872i | −0.175639 | − | 0.984455i | \(-0.556199\pi\) |
0.284866 | + | 0.958567i | \(0.408051\pi\) | |||||||
\(888\) | 29.4681 | + | 6.06077i | 0.988884 | + | 0.203386i | ||||
\(889\) | 70.9232 | − | 8.28973i | 2.37869 | − | 0.278029i | ||||
\(890\) | −0.702841 | + | 1.64056i | −0.0235593 | + | 0.0549916i | ||||
\(891\) | −15.8017 | + | 5.27831i | −0.529376 | + | 0.176830i | ||||
\(892\) | −1.40013 | + | 1.33415i | −0.0468797 | + | 0.0446708i | ||||
\(893\) | −2.77889 | − | 23.7749i | −0.0929919 | − | 0.795596i | ||||
\(894\) | 12.2085 | − | 25.8975i | 0.408314 | − | 0.866143i | ||||
\(895\) | 0.506879 | + | 2.13869i | 0.0169431 | + | 0.0714886i | ||||
\(896\) | −39.5060 | − | 6.26006i | −1.31980 | − | 0.209134i | ||||
\(897\) | 1.02557 | + | 0.486588i | 0.0342429 | + | 0.0162467i | ||||
\(898\) | 4.42428 | − | 38.6849i | 0.147640 | − | 1.29093i | ||||
\(899\) | 14.3104 | − | 5.20854i | 0.477277 | − | 0.173715i | ||||
\(900\) | −25.7612 | − | 15.1624i | −0.858707 | − | 0.505412i | ||||
\(901\) | 27.3483 | + | 9.95397i | 0.911104 | + | 0.331615i | ||||
\(902\) | 10.5403 | − | 21.1180i | 0.350953 | − | 0.703152i | ||||
\(903\) | 7.96125 | + | 39.8986i | 0.264934 | + | 1.32774i | ||||
\(904\) | 43.2460 | + | 12.5968i | 1.43834 | + | 0.418962i | ||||
\(905\) | 2.05422 | − | 0.886105i | 0.0682846 | − | 0.0294551i | ||||
\(906\) | −6.20272 | − | 43.6187i | −0.206072 | − | 1.44914i | ||||
\(907\) | 2.19186 | + | 4.36435i | 0.0727794 | + | 0.144916i | 0.927080 | − | 0.374864i | \(-0.122310\pi\) |
−0.854301 | + | 0.519779i | \(0.826014\pi\) | |||||||
\(908\) | 46.7135 | + | 5.22501i | 1.55024 | + | 0.173398i | ||||
\(909\) | 1.37408 | + | 1.49593i | 0.0455753 | + | 0.0496169i | ||||
\(910\) | 0.0749950 | − | 0.0378974i | 0.00248606 | − | 0.00125629i | ||||
\(911\) | 55.3929 | + | 13.1284i | 1.83525 | + | 0.434962i | 0.994343 | − | 0.106218i | \(-0.0338741\pi\) |
0.840907 | + | 0.541180i | \(0.182022\pi\) | |||||||
\(912\) | −36.3535 | + | 7.63007i | −1.20378 | + | 0.252657i | ||||
\(913\) | 0.0817972 | + | 1.40440i | 0.00270709 | + | 0.0464790i | ||||
\(914\) | −6.83921 | − | 5.70990i | −0.226221 | − | 0.188867i | ||||
\(915\) | −0.747397 | + | 3.50153i | −0.0247082 | + | 0.115757i | ||||
\(916\) | 5.41998 | − | 31.6568i | 0.179081 | − | 1.04597i | ||||
\(917\) | 32.5902 | + | 18.8159i | 1.07622 | + | 0.621357i | ||||
\(918\) | 7.52162 | + | 24.1063i | 0.248250 | + | 0.795625i | ||||
\(919\) | 40.8665 | − | 23.5943i | 1.34806 | − | 0.778304i | 0.360087 | − | 0.932919i | \(-0.382747\pi\) |
0.987975 | + | 0.154614i | \(0.0494135\pi\) | |||||||
\(920\) | 1.98103 | + | 0.100581i | 0.0653127 | + | 0.00331607i | ||||
\(921\) | −40.5227 | − | 16.4125i | −1.33527 | − | 0.540810i | ||||
\(922\) | 0.513897 | + | 1.40109i | 0.0169243 | + | 0.0461423i | ||||
\(923\) | 0.285915 | − | 0.188049i | 0.00941100 | − | 0.00618971i | ||||
\(924\) | 3.24745 | + | 22.4369i | 0.106833 | + | 0.738119i | ||||
\(925\) | 20.9954 | − | 22.2539i | 0.690326 | − | 0.731703i | ||||
\(926\) | −16.8638 | + | 25.7793i | −0.554178 | + | 0.847162i | ||||
\(927\) | 6.50680 | − | 10.9307i | 0.213711 | − | 0.359011i | ||||
\(928\) | 35.4472 | + | 10.1344i | 1.16361 | + | 0.332679i | ||||
\(929\) | −12.3681 | + | 18.8048i | −0.405784 | + | 0.616965i | −0.979345 | − | 0.202198i | \(-0.935191\pi\) |
0.573560 | + | 0.819163i | \(0.305562\pi\) | |||||||
\(930\) | −0.677119 | + | 0.361447i | −0.0222036 | + | 0.0118523i | ||||
\(931\) | 3.42295 | − | 29.2852i | 0.112183 | − | 0.959785i | ||||
\(932\) | −34.2212 | + | 25.7419i | −1.12095 | + | 0.843203i | ||||
\(933\) | 3.40990 | − | 22.2434i | 0.111635 | − | 0.728215i | ||||
\(934\) | 13.3632 | − | 8.83671i | 0.437257 | − | 0.289146i | ||||
\(935\) | −0.148130 | − | 0.840086i | −0.00484437 | − | 0.0274738i | ||||
\(936\) | −0.917766 | − | 0.537109i | −0.0299981 | − | 0.0175559i | ||||
\(937\) | 0.313169 | − | 1.77607i | 0.0102308 | − | 0.0580216i | −0.979265 | − | 0.202584i | \(-0.935066\pi\) |
0.989496 | + | 0.144562i | \(0.0461773\pi\) | |||||||
\(938\) | 19.3666 | + | 44.5921i | 0.632342 | + | 1.45598i | ||||
\(939\) | 5.24712 | + | 11.4513i | 0.171233 | + | 0.373700i | ||||
\(940\) | 0.270353 | − | 1.16649i | 0.00881794 | − | 0.0380468i | ||||
\(941\) | 8.39577 | − | 7.92100i | 0.273694 | − | 0.258217i | −0.537140 | − | 0.843493i | \(-0.680495\pi\) |
0.810834 | + | 0.585276i | \(0.199014\pi\) | |||||||
\(942\) | 0.653658 | − | 2.39925i | 0.0212973 | − | 0.0781717i | ||||
\(943\) | −43.2935 | − | 18.6750i | −1.40983 | − | 0.608142i | ||||
\(944\) | 41.3730 | − | 21.2955i | 1.34658 | − | 0.693109i | ||||
\(945\) | 2.36636 | + | 0.685105i | 0.0769778 | + | 0.0222865i | ||||
\(946\) | −13.9256 | + | 10.4211i | −0.452760 | + | 0.338818i | ||||
\(947\) | −0.967668 | − | 1.29980i | −0.0314450 | − | 0.0422379i | 0.786123 | − | 0.618071i | \(-0.212085\pi\) |
−0.817568 | + | 0.575833i | \(0.804678\pi\) | |||||||
\(948\) | −0.0401902 | − | 1.46730i | −0.00130532 | − | 0.0476556i | ||||
\(949\) | 0.126918 | − | 0.423937i | 0.00411995 | − | 0.0137616i | ||||
\(950\) | −12.8317 | + | 35.5290i | −0.416315 | + | 1.15271i | ||||
\(951\) | −2.89053 | + | 2.85222i | −0.0937318 | + | 0.0924895i | ||||
\(952\) | 34.1003 | − | 4.24347i | 1.10520 | − | 0.137532i | ||||
\(953\) | 18.6086 | − | 22.1769i | 0.602792 | − | 0.718380i | −0.375218 | − | 0.926937i | \(-0.622432\pi\) |
0.978010 | + | 0.208557i | \(0.0668766\pi\) | |||||||
\(954\) | −33.6290 | − | 12.6552i | −1.08878 | − | 0.409727i | ||||
\(955\) | 0.235750 | + | 0.280956i | 0.00762870 | + | 0.00909153i | ||||
\(956\) | 30.2437 | + | 10.8380i | 0.978152 | + | 0.350527i | ||||
\(957\) | −0.468398 | − | 20.8906i | −0.0151412 | − | 0.675296i | ||||
\(958\) | 42.3546 | − | 0.105167i | 1.36841 | − | 0.00339780i | ||||
\(959\) | −2.46535 | + | 3.31154i | −0.0796103 | + | 0.106935i | ||||
\(960\) | −1.84071 | − | 0.254173i | −0.0594085 | − | 0.00820341i | ||||
\(961\) | −1.48502 | + | 25.4968i | −0.0479038 | + | 0.822477i | ||||
\(962\) | 0.744924 | − | 0.793511i | 0.0240173 | − | 0.0255838i | ||||
\(963\) | 5.43250 | + | 11.1867i | 0.175060 | + | 0.360486i | ||||
\(964\) | 19.5300 | + | 9.68718i | 0.629019 | + | 0.312003i | ||||
\(965\) | 0.0711571 | − | 0.0213030i | 0.00229063 | − | 0.000685769i | ||||
\(966\) | 44.3910 | − | 8.97233i | 1.42826 | − | 0.288680i | ||||
\(967\) | −6.82810 | + | 13.5959i | −0.219577 | + | 0.437213i | −0.976270 | − | 0.216557i | \(-0.930517\pi\) |
0.756693 | + | 0.653770i | \(0.226814\pi\) | |||||||
\(968\) | 17.8087 | − | 11.9039i | 0.572393 | − | 0.382607i | ||||
\(969\) | 28.1894 | − | 14.9577i | 0.905573 | − | 0.480511i | ||||
\(970\) | −0.356719 | − | 0.105830i | −0.0114536 | − | 0.00339801i | ||||
\(971\) | 17.0759 | 0.547991 | 0.273995 | − | 0.961731i | \(-0.411655\pi\) | ||||
0.273995 | + | 0.961731i | \(0.411655\pi\) | |||||||
\(972\) | −8.96253 | − | 29.8609i | −0.287473 | − | 0.957789i | ||||
\(973\) | −23.0676 | −0.739513 | ||||||||
\(974\) | 33.8519 | + | 10.0431i | 1.08469 | + | 0.321801i | ||||
\(975\) | −0.955258 | + | 0.506874i | −0.0305927 | + | 0.0162330i | ||||
\(976\) | −11.3095 | − | 60.6130i | −0.362010 | − | 1.94017i | ||||
\(977\) | 2.58414 | − | 5.14544i | 0.0826738 | − | 0.164617i | −0.848497 | − | 0.529200i | \(-0.822492\pi\) |
0.931171 | + | 0.364583i | \(0.118788\pi\) | |||||||
\(978\) | −26.1052 | + | 5.27639i | −0.834752 | + | 0.168720i | ||||
\(979\) | −16.6888 | + | 4.99629i | −0.533375 | + | 0.159682i | ||||
\(980\) | 0.655398 | − | 1.32133i | 0.0209359 | − | 0.0422082i | ||||
\(981\) | 47.4479 | + | 3.39926i | 1.51489 | + | 0.108530i | ||||
\(982\) | 18.1449 | − | 19.3284i | 0.579027 | − | 0.616794i | ||||
\(983\) | −0.881403 | + | 15.1331i | −0.0281124 | + | 0.482671i | 0.954642 | + | 0.297756i | \(0.0962381\pi\) |
−0.982754 | + | 0.184915i | \(0.940799\pi\) | |||||||
\(984\) | 38.8935 | + | 20.9322i | 1.23988 | + | 0.667293i | ||||
\(985\) | 2.03522 | − | 2.73378i | 0.0648476 | − | 0.0871054i | ||||
\(986\) | −31.6730 | + | 0.0786447i | −1.00867 | + | 0.00250456i | ||||
\(987\) | −0.612827 | − | 27.3321i | −0.0195065 | − | 0.869991i | ||||
\(988\) | −0.453335 | + | 1.26504i | −0.0144225 | + | 0.0402462i | ||||
\(989\) | 22.3341 | + | 26.6168i | 0.710185 | + | 0.846365i | ||||
\(990\) | 0.171609 | + | 1.03910i | 0.00545410 | + | 0.0330249i | ||||
\(991\) | −15.4080 | + | 18.3626i | −0.489452 | + | 0.583307i | −0.953078 | − | 0.302725i | \(-0.902104\pi\) |
0.463626 | + | 0.886031i | \(0.346548\pi\) | |||||||
\(992\) | 8.37011 | − | 10.2304i | 0.265751 | − | 0.324816i | ||||
\(993\) | −16.1720 | + | 15.9577i | −0.513204 | + | 0.506402i | ||||
\(994\) | 4.63777 | − | 12.8413i | 0.147101 | − | 0.407301i | ||||
\(995\) | −0.00630338 | + | 0.0210547i | −0.000199830 | + | 0.000667480i | ||||
\(996\) | −2.63163 | + | 0.0720819i | −0.0833863 | + | 0.00228400i | ||||
\(997\) | −27.6647 | − | 37.1601i | −0.876148 | − | 1.17687i | −0.983184 | − | 0.182616i | \(-0.941543\pi\) |
0.107036 | − | 0.994255i | \(-0.465864\pi\) | |||||||
\(998\) | −16.7753 | + | 12.5536i | −0.531013 | + | 0.397378i | ||||
\(999\) | 31.8377 | − | 2.14442i | 1.00730 | − | 0.0678465i |
(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 | 324.2.p.a.263.22 | yes | 936 | |
3.2 | odd | 2 | 972.2.p.a.467.31 | 936 | |||
4.3 | odd | 2 | inner | 324.2.p.a.263.36 | yes | 936 | |
12.11 | even | 2 | 972.2.p.a.467.17 | 936 | |||
81.4 | even | 27 | 972.2.p.a.179.17 | 936 | |||
81.77 | odd | 54 | inner | 324.2.p.a.239.36 | yes | 936 | |
324.239 | even | 54 | inner | 324.2.p.a.239.22 | ✓ | 936 | |
324.247 | odd | 54 | 972.2.p.a.179.31 | 936 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
324.2.p.a.239.22 | ✓ | 936 | 324.239 | even | 54 | inner | |
324.2.p.a.239.36 | yes | 936 | 81.77 | odd | 54 | inner | |
324.2.p.a.263.22 | yes | 936 | 1.1 | even | 1 | trivial | |
324.2.p.a.263.36 | yes | 936 | 4.3 | odd | 2 | inner | |
972.2.p.a.179.17 | 936 | 81.4 | even | 27 | |||
972.2.p.a.179.31 | 936 | 324.247 | odd | 54 | |||
972.2.p.a.467.17 | 936 | 12.11 | even | 2 | |||
972.2.p.a.467.31 | 936 | 3.2 | odd | 2 |