Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [855,2,Mod(406,855)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(855, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("855.406");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 855 = 3^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 855.k (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.82720937282\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{10} - x^{9} + 9x^{8} - 2x^{7} + 56x^{6} - 18x^{5} + 125x^{4} + x^{3} + 189x^{2} - 52x + 16 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 285) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 406.4 | ||
Root | \(-0.690702 + 1.19633i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 855.406 |
Dual form | 855.2.k.i.676.4 |
$q$-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 \(\left(\mathbb{Z}/855\mathbb{Z}\right)^\times\).
\(n\) | \(172\) | \(191\) | \(496\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.690702 | + | 1.19633i | 0.488400 | + | 0.845933i | 0.999911 | − | 0.0133433i | \(-0.00424744\pi\) |
−0.511511 | + | 0.859277i | \(0.670914\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0458624 | − | 0.0794360i | 0.0229312 | − | 0.0397180i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.36264 | −1.64892 | −0.824462 | − | 0.565917i | \(-0.808522\pi\) | ||||
−0.824462 | + | 0.565917i | \(0.808522\pi\) | |||||||
\(8\) | 2.88952 | 1.02160 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.690702 | + | 1.19633i | −0.218419 | + | 0.378313i | ||||
\(11\) | 4.31625 | 1.30140 | 0.650699 | − | 0.759336i | \(-0.274476\pi\) | ||||
0.650699 | + | 0.759336i | \(0.274476\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.18132 | − | 5.51021i | 0.882340 | − | 1.52826i | 0.0336075 | − | 0.999435i | \(-0.489300\pi\) |
0.848732 | − | 0.528823i | \(-0.177366\pi\) | |||||||
\(14\) | −3.01329 | − | 5.21916i | −0.805334 | − | 1.39488i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.90407 | + | 3.29794i | 0.476017 | + | 0.824486i | ||||
\(17\) | 2.85821 | + | 4.95056i | 0.693217 | + | 1.20069i | 0.970778 | + | 0.239979i | \(0.0771405\pi\) |
−0.277561 | + | 0.960708i | \(0.589526\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.97100 | + | 3.18954i | 0.681594 | + | 0.731730i | ||||
\(20\) | 0.0917248 | 0.0205103 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.98124 | + | 5.16366i | 0.635603 | + | 1.10090i | ||||
\(23\) | −0.289678 | + | 0.501738i | −0.0604021 | + | 0.104620i | −0.894645 | − | 0.446777i | \(-0.852572\pi\) |
0.834243 | + | 0.551397i | \(0.185905\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 8.78938 | 1.72374 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.200081 | + | 0.346551i | −0.0378118 | + | 0.0654920i | ||||
\(29\) | −1.77672 | + | 3.07737i | −0.329929 | + | 0.571454i | −0.982497 | − | 0.186276i | \(-0.940358\pi\) |
0.652569 | + | 0.757730i | \(0.273691\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.18345 | 0.212554 | 0.106277 | − | 0.994337i | \(-0.466107\pi\) | ||||
0.106277 | + | 0.994337i | \(0.466107\pi\) | |||||||
\(32\) | 0.259229 | − | 0.448998i | 0.0458257 | − | 0.0793724i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.94834 | + | 6.83872i | −0.677134 | + | 1.17283i | ||||
\(35\) | −2.18132 | − | 3.77816i | −0.368711 | − | 0.638626i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.54609 | −1.07617 | −0.538086 | − | 0.842890i | \(-0.680852\pi\) | ||||
−0.538086 | + | 0.842890i | \(0.680852\pi\) | |||||||
\(38\) | −1.76367 | + | 5.75732i | −0.286105 | + | 0.933960i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.44476 | + | 2.50239i | 0.228436 | + | 0.395663i | ||||
\(41\) | −0.381403 | − | 0.660610i | −0.0595652 | − | 0.103170i | 0.834705 | − | 0.550697i | \(-0.185638\pi\) |
−0.894270 | + | 0.447527i | \(0.852305\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.18132 | + | 5.51021i | 0.485147 | + | 0.840299i | 0.999854 | − | 0.0170666i | \(-0.00543274\pi\) |
−0.514707 | + | 0.857366i | \(0.672099\pi\) | |||||||
\(44\) | 0.197954 | − | 0.342866i | 0.0298426 | − | 0.0516890i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.800326 | −0.118002 | ||||||||
\(47\) | −1.36632 | + | 2.36653i | −0.199298 | + | 0.345194i | −0.948301 | − | 0.317372i | \(-0.897200\pi\) |
0.749003 | + | 0.662567i | \(0.230533\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 12.0327 | 1.71895 | ||||||||
\(50\) | −1.38140 | −0.195360 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.291806 | − | 0.505423i | −0.0404662 | − | 0.0700896i | ||||
\(53\) | 2.56853 | − | 4.44882i | 0.352814 | − | 0.611092i | −0.633927 | − | 0.773393i | \(-0.718558\pi\) |
0.986741 | + | 0.162300i | \(0.0518914\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.15812 | + | 3.73798i | 0.291001 | + | 0.504029i | ||||
\(56\) | −12.6059 | −1.68454 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.90874 | −0.644549 | ||||||||
\(59\) | 1.91484 | + | 3.31660i | 0.249291 | + | 0.431785i | 0.963329 | − | 0.268322i | \(-0.0864691\pi\) |
−0.714038 | + | 0.700107i | \(0.753136\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.01053 | − | 10.4105i | 0.769569 | − | 1.33293i | −0.168227 | − | 0.985748i | \(-0.553804\pi\) |
0.937797 | − | 0.347185i | \(-0.112862\pi\) | |||||||
\(62\) | 0.817411 | + | 1.41580i | 0.103811 | + | 0.179806i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.33247 | 1.04156 | ||||||||
\(65\) | 6.36264 | 0.789189 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.00213 | − | 3.46779i | 0.244599 | − | 0.423658i | −0.717420 | − | 0.696641i | \(-0.754677\pi\) |
0.962019 | + | 0.272983i | \(0.0880104\pi\) | |||||||
\(68\) | 0.524337 | 0.0635852 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.01329 | − | 5.21916i | 0.360156 | − | 0.623809i | ||||
\(71\) | 1.53953 | + | 2.66654i | 0.182708 | + | 0.316460i | 0.942802 | − | 0.333354i | \(-0.108180\pi\) |
−0.760094 | + | 0.649814i | \(0.774847\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.04320 | − | 7.00303i | −0.473221 | − | 0.819643i | 0.526309 | − | 0.850293i | \(-0.323575\pi\) |
−0.999530 | + | 0.0306504i | \(0.990242\pi\) | |||||||
\(74\) | −4.52140 | − | 7.83129i | −0.525602 | − | 0.910369i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.389622 | − | 0.0897246i | 0.0446927 | − | 0.0102921i | ||||
\(77\) | −18.8303 | −2.14591 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.66836 | − | 9.81790i | −0.637741 | − | 1.10460i | −0.985927 | − | 0.167174i | \(-0.946536\pi\) |
0.348187 | − | 0.937425i | \(-0.386798\pi\) | |||||||
\(80\) | −1.90407 | + | 3.29794i | −0.212881 | + | 0.368721i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.526872 | − | 0.912569i | 0.0581833 | − | 0.100776i | ||||
\(83\) | −7.67889 | −0.842868 | −0.421434 | − | 0.906859i | \(-0.638473\pi\) | ||||
−0.421434 | + | 0.906859i | \(0.638473\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.85821 | + | 4.95056i | −0.310016 | + | 0.536963i | ||||
\(86\) | −4.39469 | + | 7.61182i | −0.473891 | + | 0.820804i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 12.4719 | 1.32951 | ||||||||
\(89\) | 4.92093 | − | 8.52330i | 0.521618 | − | 0.903468i | −0.478066 | − | 0.878324i | \(-0.658662\pi\) |
0.999684 | − | 0.0251445i | \(-0.00800458\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −13.8790 | + | 24.0391i | −1.45491 | + | 2.51998i | ||||
\(92\) | 0.0265707 | + | 0.0460218i | 0.00277019 | + | 0.00479811i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.77487 | −0.389348 | ||||||||
\(95\) | −1.27672 | + | 4.16773i | −0.130989 | + | 0.427600i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.00000 | − | 1.73205i | −0.101535 | − | 0.175863i | 0.810782 | − | 0.585348i | \(-0.199042\pi\) |
−0.912317 | + | 0.409484i | \(0.865709\pi\) | |||||||
\(98\) | 8.31098 | + | 14.3950i | 0.839536 | + | 1.45412i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.0458624 | + | 0.0794360i | 0.00458624 | + | 0.00794360i | ||||
\(101\) | −2.24985 | + | 3.89685i | −0.223868 | + | 0.387751i | −0.955979 | − | 0.293434i | \(-0.905202\pi\) |
0.732111 | + | 0.681185i | \(0.238535\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −16.0717 | −1.58359 | −0.791796 | − | 0.610785i | \(-0.790854\pi\) | ||||
−0.791796 | + | 0.610785i | \(0.790854\pi\) | |||||||
\(104\) | 9.19248 | − | 15.9218i | 0.901397 | − | 1.56127i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.09634 | 0.689258 | ||||||||
\(107\) | −13.6789 | −1.32239 | −0.661194 | − | 0.750215i | \(-0.729950\pi\) | ||||
−0.661194 | + | 0.750215i | \(0.729950\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.48337 | + | 7.76542i | 0.429429 | + | 0.743792i | 0.996823 | − | 0.0796541i | \(-0.0253816\pi\) |
−0.567394 | + | 0.823447i | \(0.692048\pi\) | |||||||
\(110\) | −2.98124 | + | 5.16366i | −0.284250 | + | 0.492336i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −8.30677 | − | 14.3878i | −0.784916 | − | 1.35951i | ||||
\(113\) | −6.42952 | −0.604838 | −0.302419 | − | 0.953175i | \(-0.597794\pi\) | ||||
−0.302419 | + | 0.953175i | \(0.597794\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.579357 | −0.0540253 | ||||||||
\(116\) | 0.162969 | + | 0.282271i | 0.0151313 | + | 0.0262082i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.64517 | + | 4.58156i | −0.243507 | + | 0.421767i | ||||
\(119\) | −12.4693 | − | 21.5975i | −1.14306 | − | 1.97984i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.63001 | 0.693637 | ||||||||
\(122\) | 16.6059 | 1.50343 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.0542759 | − | 0.0940086i | 0.00487412 | − | 0.00844222i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.09172 | − | 5.35502i | 0.274346 | − | 0.475182i | −0.695624 | − | 0.718406i | \(-0.744872\pi\) |
0.969970 | + | 0.243225i | \(0.0782052\pi\) | |||||||
\(128\) | 5.23680 | + | 9.07040i | 0.462872 | + | 0.801717i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.39469 | + | 7.61182i | 0.385440 | + | 0.667601i | ||||
\(131\) | 8.69872 | + | 15.0666i | 0.760010 | + | 1.31638i | 0.942845 | + | 0.333233i | \(0.108140\pi\) |
−0.182834 | + | 0.983144i | \(0.558527\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −12.9614 | − | 13.9148i | −1.12390 | − | 1.20657i | ||||
\(134\) | 5.53149 | 0.477848 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.25883 | + | 14.3047i | 0.708189 | + | 1.22662i | ||||
\(137\) | 7.85821 | − | 13.6108i | 0.671372 | − | 1.16285i | −0.306143 | − | 0.951985i | \(-0.599039\pi\) |
0.977515 | − | 0.210865i | \(-0.0676280\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.27672 | + | 5.67545i | −0.277928 | + | 0.481385i | −0.970870 | − | 0.239608i | \(-0.922981\pi\) |
0.692942 | + | 0.720994i | \(0.256314\pi\) | |||||||
\(140\) | −0.400163 | −0.0338199 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.12671 | + | 3.68357i | −0.178469 | + | 0.309118i | ||||
\(143\) | 13.7314 | − | 23.7834i | 1.14828 | − | 1.98887i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.55344 | −0.295097 | ||||||||
\(146\) | 5.58529 | − | 9.67401i | 0.462242 | − | 0.800627i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.300220 | + | 0.519996i | −0.0246779 | + | 0.0427434i | ||||
\(149\) | 2.87560 | + | 4.98069i | 0.235578 | + | 0.408034i | 0.959441 | − | 0.281911i | \(-0.0909682\pi\) |
−0.723862 | + | 0.689945i | \(0.757635\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.6673 | −1.03085 | −0.515425 | − | 0.856935i | \(-0.672366\pi\) | ||||
−0.515425 | + | 0.856935i | \(0.672366\pi\) | |||||||
\(152\) | 8.58475 | + | 9.21622i | 0.696315 | + | 0.747534i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −13.0061 | − | 22.5272i | −1.04806 | − | 1.81529i | ||||
\(155\) | 0.591725 | + | 1.02490i | 0.0475285 | + | 0.0823217i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.689434 | − | 1.19414i | −0.0550228 | − | 0.0953024i | 0.837202 | − | 0.546894i | \(-0.184190\pi\) |
−0.892225 | + | 0.451591i | \(0.850856\pi\) | |||||||
\(158\) | 7.83030 | − | 13.5625i | 0.622945 | − | 1.07897i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.518458 | 0.0409877 | ||||||||
\(161\) | 1.26376 | − | 2.18890i | 0.0995986 | − | 0.172510i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.6120 | −0.909523 | −0.454762 | − | 0.890613i | \(-0.650276\pi\) | ||||
−0.454762 | + | 0.890613i | \(0.650276\pi\) | |||||||
\(164\) | −0.0699683 | −0.00546361 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.30382 | − | 9.18649i | −0.411657 | − | 0.713010i | ||||
\(167\) | −10.1557 | + | 17.5902i | −0.785871 | + | 1.36117i | 0.142606 | + | 0.989780i | \(0.454452\pi\) |
−0.928477 | + | 0.371390i | \(0.878881\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −13.7416 | − | 23.8012i | −1.05705 | − | 1.83086i | ||||
\(170\) | −7.89667 | −0.605647 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.583613 | 0.0445000 | ||||||||
\(173\) | −6.12545 | − | 10.6096i | −0.465709 | − | 0.806632i | 0.533524 | − | 0.845785i | \(-0.320867\pi\) |
−0.999233 | + | 0.0391527i | \(0.987534\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.18132 | − | 3.77816i | 0.164892 | − | 0.285602i | ||||
\(176\) | 8.21843 | + | 14.2347i | 0.619488 | + | 1.07298i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 13.5956 | 1.01903 | ||||||||
\(179\) | 19.1840 | 1.43388 | 0.716941 | − | 0.697134i | \(-0.245542\pi\) | ||||
0.716941 | + | 0.697134i | \(0.245542\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.61492 | − | 2.79713i | 0.120036 | − | 0.207909i | −0.799746 | − | 0.600339i | \(-0.795032\pi\) |
0.919782 | + | 0.392430i | \(0.128366\pi\) | |||||||
\(182\) | −38.3449 | −2.84231 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.837031 | + | 1.44978i | −0.0617067 | + | 0.106879i | ||||
\(185\) | −3.27305 | − | 5.66908i | −0.240639 | − | 0.416799i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.3367 | + | 21.3678i | 0.902151 | + | 1.56257i | ||||
\(188\) | 0.125325 | + | 0.217070i | 0.00914029 | + | 0.0158314i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.86782 | + | 1.35128i | −0.425696 | + | 0.0980320i | ||||
\(191\) | −27.5509 | −1.99352 | −0.996758 | − | 0.0804642i | \(-0.974360\pi\) | ||||
−0.996758 | + | 0.0804642i | \(0.974360\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.1233 | − | 19.2662i | −0.800674 | − | 1.38681i | −0.919173 | − | 0.393854i | \(-0.871141\pi\) |
0.118499 | − | 0.992954i | \(-0.462192\pi\) | |||||||
\(194\) | 1.38140 | − | 2.39266i | 0.0991790 | − | 0.171783i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.551847 | − | 0.955827i | 0.0394176 | − | 0.0682734i | ||||
\(197\) | −12.6627 | −0.902178 | −0.451089 | − | 0.892479i | \(-0.648964\pi\) | ||||
−0.451089 | + | 0.892479i | \(0.648964\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.38478 | − | 7.59466i | 0.310829 | − | 0.538371i | −0.667713 | − | 0.744418i | \(-0.732727\pi\) |
0.978542 | + | 0.206048i | \(0.0660602\pi\) | |||||||
\(200\) | −1.44476 | + | 2.50239i | −0.102160 | + | 0.176946i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.21590 | −0.437349 | ||||||||
\(203\) | 7.75120 | − | 13.4255i | 0.544028 | − | 0.942284i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.381403 | − | 0.660610i | 0.0266384 | − | 0.0461390i | ||||
\(206\) | −11.1008 | − | 19.2271i | −0.773426 | − | 1.33961i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 24.2298 | 1.68004 | ||||||||
\(209\) | 12.8236 | + | 13.7668i | 0.887025 | + | 0.952272i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.93389 | − | 6.81369i | −0.270820 | − | 0.469074i | 0.698252 | − | 0.715852i | \(-0.253962\pi\) |
−0.969072 | + | 0.246778i | \(0.920628\pi\) | |||||||
\(212\) | −0.235598 | − | 0.408067i | −0.0161809 | − | 0.0280262i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.44803 | − | 16.3645i | −0.645854 | − | 1.11865i | ||||
\(215\) | −3.18132 | + | 5.51021i | −0.216964 | + | 0.375793i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.16297 | −0.350485 | ||||||||
\(218\) | −6.19334 | + | 10.7272i | −0.419466 | + | 0.726536i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.395907 | 0.0266921 | ||||||||
\(221\) | 36.3715 | 2.44661 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.6768 | + | 23.6889i | 0.915864 | + | 1.58632i | 0.805631 | + | 0.592417i | \(0.201826\pi\) |
0.110232 | + | 0.993906i | \(0.464840\pi\) | |||||||
\(224\) | −1.13092 | + | 1.95882i | −0.0755631 | + | 0.130879i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.44088 | − | 7.69183i | −0.295403 | − | 0.511653i | ||||
\(227\) | 25.0922 | 1.66543 | 0.832713 | − | 0.553704i | \(-0.186786\pi\) | ||||
0.832713 | + | 0.553704i | \(0.186786\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.98530 | 0.329438 | 0.164719 | − | 0.986341i | \(-0.447328\pi\) | ||||
0.164719 | + | 0.986341i | \(0.447328\pi\) | |||||||
\(230\) | −0.400163 | − | 0.693102i | −0.0263860 | − | 0.0457018i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.13386 | + | 8.89211i | −0.337055 | + | 0.583796i | ||||
\(233\) | 6.39821 | + | 11.0820i | 0.419161 | + | 0.726007i | 0.995855 | − | 0.0909523i | \(-0.0289911\pi\) |
−0.576695 | + | 0.816960i | \(0.695658\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.73264 | −0.178258 | ||||||||
\(236\) | 0.351277 | 0.0228662 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 17.2252 | − | 29.8349i | 1.11654 | − | 1.93391i | ||||
\(239\) | −12.8049 | −0.828283 | −0.414142 | − | 0.910212i | \(-0.635918\pi\) | ||||
−0.414142 | + | 0.910212i | \(0.635918\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.546395 | − | 0.946383i | 0.0351964 | − | 0.0609619i | −0.847891 | − | 0.530171i | \(-0.822128\pi\) |
0.883087 | + | 0.469209i | \(0.155461\pi\) | |||||||
\(242\) | 5.27006 | + | 9.12801i | 0.338772 | + | 0.586771i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.551315 | − | 0.954905i | −0.0352943 | − | 0.0611315i | ||||
\(245\) | 6.01633 | + | 10.4206i | 0.384369 | + | 0.665747i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 27.0267 | − | 6.22389i | 1.71967 | − | 0.396017i | ||||
\(248\) | 3.41960 | 0.217145 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.690702 | − | 1.19633i | −0.0436838 | − | 0.0756626i | ||||
\(251\) | 3.04764 | − | 5.27867i | 0.192365 | − | 0.333187i | −0.753668 | − | 0.657255i | \(-0.771717\pi\) |
0.946034 | + | 0.324068i | \(0.105051\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.25032 | + | 2.16563i | −0.0786072 | + | 0.136152i | ||||
\(254\) | 8.54184 | 0.535963 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.09835 | − | 1.90239i | 0.0686467 | − | 0.118900i | ||||
\(257\) | 2.31016 | − | 4.00131i | 0.144104 | − | 0.249595i | −0.784934 | − | 0.619579i | \(-0.787303\pi\) |
0.929038 | + | 0.369984i | \(0.120637\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 28.5583 | 1.77452 | ||||||||
\(260\) | 0.291806 | − | 0.505423i | 0.0180971 | − | 0.0313450i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −12.0164 | + | 20.8131i | −0.742378 | + | 1.28584i | ||||
\(263\) | −15.0247 | − | 26.0236i | −0.926465 | − | 1.60468i | −0.789189 | − | 0.614151i | \(-0.789499\pi\) |
−0.137276 | − | 0.990533i | \(-0.543835\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.13706 | 0.315567 | ||||||||
\(266\) | 7.69425 | − | 25.1171i | 0.471765 | − | 1.54003i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.183645 | − | 0.318082i | −0.0112179 | − | 0.0194300i | ||||
\(269\) | −0.105639 | − | 0.182973i | −0.00644095 | − | 0.0111561i | 0.862787 | − | 0.505568i | \(-0.168717\pi\) |
−0.869228 | + | 0.494412i | \(0.835384\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.70364 | + | 6.41489i | 0.224980 | + | 0.389677i | 0.956313 | − | 0.292343i | \(-0.0944350\pi\) |
−0.731333 | + | 0.682020i | \(0.761102\pi\) | |||||||
\(272\) | −10.8844 | + | 18.8524i | −0.659966 | + | 1.14309i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 21.7107 | 1.31159 | ||||||||
\(275\) | −2.15812 | + | 3.73798i | −0.130140 | + | 0.225409i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −29.0668 | −1.74646 | −0.873229 | − | 0.487310i | \(-0.837978\pi\) | ||||
−0.873229 | + | 0.487310i | \(0.837978\pi\) | |||||||
\(278\) | −9.05295 | −0.542960 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.30296 | − | 10.9171i | −0.376674 | − | 0.652419i | ||||
\(281\) | 5.73796 | − | 9.93843i | 0.342298 | − | 0.592877i | −0.642561 | − | 0.766234i | \(-0.722128\pi\) |
0.984859 | + | 0.173357i | \(0.0554615\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.6662 | + | 23.6706i | 0.812373 | + | 1.40707i | 0.911199 | + | 0.411966i | \(0.135158\pi\) |
−0.0988265 | + | 0.995105i | \(0.531509\pi\) | |||||||
\(284\) | 0.282426 | 0.0167589 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 37.9371 | 2.24327 | ||||||||
\(287\) | 1.66393 | + | 2.88201i | 0.0982185 | + | 0.170119i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.83868 | + | 13.5770i | −0.461099 | + | 0.798647i | ||||
\(290\) | −2.45437 | − | 4.25109i | −0.144125 | − | 0.249633i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.741724 | −0.0434061 | ||||||||
\(293\) | −13.0211 | −0.760698 | −0.380349 | − | 0.924843i | \(-0.624196\pi\) | ||||
−0.380349 | + | 0.924843i | \(0.624196\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.91484 | + | 3.31660i | −0.111486 | + | 0.193100i | ||||
\(296\) | −18.9150 | −1.09941 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.97236 | + | 6.88034i | −0.230113 | + | 0.398567i | ||||
\(299\) | 1.84312 | + | 3.19238i | 0.106590 | + | 0.184620i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −13.8790 | − | 24.0391i | −0.799971 | − | 1.38559i | ||||
\(302\) | −8.74932 | − | 15.1543i | −0.503467 | − | 0.872030i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.86193 | + | 15.8713i | −0.278851 | + | 0.910281i | ||||
\(305\) | 12.0211 | 0.688324 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.01267 | − | 3.48604i | −0.114869 | − | 0.198959i | 0.802858 | − | 0.596170i | \(-0.203312\pi\) |
−0.917727 | + | 0.397211i | \(0.869978\pi\) | |||||||
\(308\) | −0.863601 | + | 1.49580i | −0.0492082 | + | 0.0852312i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.817411 | + | 1.41580i | −0.0464258 | + | 0.0804119i | ||||
\(311\) | −15.3578 | −0.870860 | −0.435430 | − | 0.900223i | \(-0.643404\pi\) | ||||
−0.435430 | + | 0.900223i | \(0.643404\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.9800 | + | 19.0179i | −0.620625 | + | 1.07495i | 0.368744 | + | 0.929531i | \(0.379788\pi\) |
−0.989369 | + | 0.145424i | \(0.953546\pi\) | |||||||
\(314\) | 0.952387 | − | 1.64958i | 0.0537463 | − | 0.0930913i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.03986 | −0.0584967 | ||||||||
\(317\) | −12.0640 | + | 20.8954i | −0.677580 | + | 1.17360i | 0.298127 | + | 0.954526i | \(0.403638\pi\) |
−0.975708 | + | 0.219077i | \(0.929695\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.66877 | + | 13.2827i | −0.429369 | + | 0.743689i | ||||
\(320\) | 4.16624 | + | 7.21613i | 0.232900 | + | 0.403394i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.49154 | 0.194576 | ||||||||
\(323\) | −7.29826 | + | 23.8245i | −0.406086 | + | 1.32563i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.18132 | + | 5.51021i | 0.176468 | + | 0.305652i | ||||
\(326\) | −8.02044 | − | 13.8918i | −0.444211 | − | 0.769396i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.10207 | − | 1.90884i | −0.0608517 | − | 0.105398i | ||||
\(329\) | 5.96076 | − | 10.3243i | 0.328627 | − | 0.569199i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.8416 | −1.36542 | −0.682710 | − | 0.730690i | \(-0.739199\pi\) | ||||
−0.682710 | + | 0.730690i | \(0.739199\pi\) | |||||||
\(332\) | −0.352173 | + | 0.609981i | −0.0193280 | + | 0.0334771i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −28.0582 | −1.53528 | ||||||||
\(335\) | 4.00426 | 0.218776 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.284651 | − | 0.493031i | −0.0155059 | − | 0.0268571i | 0.858168 | − | 0.513368i | \(-0.171603\pi\) |
−0.873674 | + | 0.486511i | \(0.838269\pi\) | |||||||
\(338\) | 18.9827 | − | 32.8790i | 1.03252 | − | 1.78838i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.262168 | + | 0.454089i | 0.0142181 | + | 0.0246264i | ||||
\(341\) | 5.10806 | 0.276617 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −21.9557 | −1.18550 | ||||||||
\(344\) | 9.19248 | + | 15.9218i | 0.495625 | + | 0.858448i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 8.46172 | − | 14.6561i | 0.454905 | − | 0.787918i | ||||
\(347\) | 4.68682 | + | 8.11782i | 0.251602 | + | 0.435787i | 0.963967 | − | 0.266022i | \(-0.0857093\pi\) |
−0.712365 | + | 0.701809i | \(0.752376\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 14.8297 | 0.793815 | 0.396907 | − | 0.917859i | \(-0.370083\pi\) | ||||
0.396907 | + | 0.917859i | \(0.370083\pi\) | |||||||
\(350\) | 6.02657 | 0.322134 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.11890 | − | 1.93799i | 0.0596375 | − | 0.103295i | ||||
\(353\) | −31.2650 | −1.66407 | −0.832034 | − | 0.554725i | \(-0.812824\pi\) | ||||
−0.832034 | + | 0.554725i | \(0.812824\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.53953 | + | 2.66654i | −0.0817097 | + | 0.141525i | ||||
\(356\) | −0.451372 | − | 0.781799i | −0.0239226 | − | 0.0414352i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.2504 | + | 22.9504i | 0.700307 | + | 1.21297i | ||||
\(359\) | 5.43561 | + | 9.41475i | 0.286880 | + | 0.496892i | 0.973063 | − | 0.230537i | \(-0.0740484\pi\) |
−0.686183 | + | 0.727429i | \(0.740715\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.34631 | + | 18.9522i | −0.0708586 | + | 0.997486i | ||||
\(362\) | 4.46172 | 0.234503 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.27305 | + | 2.20498i | 0.0667258 | + | 0.115572i | ||||
\(365\) | 4.04320 | − | 7.00303i | 0.211631 | − | 0.366555i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.36477 | − | 16.2203i | 0.488837 | − | 0.846691i | −0.511080 | − | 0.859533i | \(-0.670755\pi\) |
0.999918 | + | 0.0128422i | \(0.00408791\pi\) | |||||||
\(368\) | −2.20627 | −0.115010 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.52140 | − | 7.83129i | 0.235056 | − | 0.407129i | ||||
\(371\) | −11.2056 | + | 19.4086i | −0.581764 | + | 1.00765i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 29.3275 | 1.51852 | 0.759259 | − | 0.650788i | \(-0.225561\pi\) | ||||
0.759259 | + | 0.650788i | \(0.225561\pi\) | |||||||
\(374\) | −17.0420 | + | 29.5176i | −0.881221 | + | 1.52632i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.94800 | + | 6.83813i | −0.203602 | + | 0.352650i | ||||
\(377\) | 11.3046 | + | 19.5802i | 0.582219 | + | 1.00843i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.6486 | −0.546980 | −0.273490 | − | 0.961875i | \(-0.588178\pi\) | ||||
−0.273490 | + | 0.961875i | \(0.588178\pi\) | |||||||
\(380\) | 0.272515 | + | 0.292560i | 0.0139797 | + | 0.0150080i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −19.0295 | − | 32.9600i | −0.973632 | − | 1.68638i | ||||
\(383\) | 4.63977 | + | 8.03632i | 0.237081 | + | 0.410637i | 0.959876 | − | 0.280426i | \(-0.0904759\pi\) |
−0.722794 | + | 0.691063i | \(0.757143\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.41513 | − | 16.3075i | −0.479839 | − | 0.831106i | ||||
\(386\) | 15.3658 | − | 26.6143i | 0.782098 | − | 1.35463i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.183450 | −0.00931325 | ||||||||
\(389\) | 0.666237 | − | 1.15396i | 0.0337796 | − | 0.0585079i | −0.848641 | − | 0.528969i | \(-0.822579\pi\) |
0.882421 | + | 0.470461i | \(0.155912\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.31184 | −0.167487 | ||||||||
\(392\) | 34.7686 | 1.75608 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −8.74613 | − | 15.1487i | −0.440623 | − | 0.763182i | ||||
\(395\) | 5.66836 | − | 9.81790i | 0.285206 | − | 0.493992i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.8324 | + | 27.4225i | 0.794605 | + | 1.37630i | 0.923090 | + | 0.384584i | \(0.125655\pi\) |
−0.128485 | + | 0.991711i | \(0.541011\pi\) | |||||||
\(398\) | 12.1143 | 0.607235 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.80814 | −0.190407 | ||||||||
\(401\) | −2.44425 | − | 4.23356i | −0.122060 | − | 0.211414i | 0.798520 | − | 0.601968i | \(-0.205617\pi\) |
−0.920580 | + | 0.390554i | \(0.872283\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.76493 | − | 6.52106i | 0.187545 | − | 0.324837i | ||||
\(404\) | 0.206367 | + | 0.357438i | 0.0102671 | + | 0.0177832i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 21.4151 | 1.06281 | ||||||||
\(407\) | −28.2546 | −1.40053 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.3941 | − | 19.7351i | 0.563400 | − | 0.975837i | −0.433797 | − | 0.901011i | \(-0.642826\pi\) |
0.997197 | − | 0.0748266i | \(-0.0238403\pi\) | |||||||
\(410\) | 1.05374 | 0.0520407 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.737087 | + | 1.27667i | −0.0363137 | + | 0.0628972i | ||||
\(413\) | −8.35377 | − | 14.4692i | −0.411062 | − | 0.711980i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.83945 | − | 6.65012i | −0.188471 | − | 0.326441i | ||||
\(416\) | −1.64938 | − | 2.85682i | −0.0808677 | − | 0.140067i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −7.61243 | + | 24.8500i | −0.372336 | + | 1.21545i | ||||
\(419\) | −30.8809 | −1.50863 | −0.754316 | − | 0.656512i | \(-0.772031\pi\) | ||||
−0.754316 | + | 0.656512i | \(0.772031\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.2891 | − | 23.0174i | −0.647671 | − | 1.12180i | −0.983678 | − | 0.179939i | \(-0.942410\pi\) |
0.336007 | − | 0.941859i | \(-0.390923\pi\) | |||||||
\(422\) | 5.43429 | − | 9.41246i | 0.264537 | − | 0.458191i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 7.42180 | − | 12.8549i | 0.360434 | − | 0.624291i | ||||
\(425\) | −5.71641 | −0.277287 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −26.2218 | + | 45.4175i | −1.26896 | + | 2.19791i | ||||
\(428\) | −0.627347 | + | 1.08660i | −0.0303240 | + | 0.0525227i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.78938 | −0.423861 | ||||||||
\(431\) | 8.23718 | − | 14.2672i | 0.396771 | − | 0.687228i | −0.596554 | − | 0.802573i | \(-0.703464\pi\) |
0.993325 | + | 0.115345i | \(0.0367974\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 18.4021 | − | 31.8733i | 0.884346 | − | 1.53173i | 0.0378851 | − | 0.999282i | \(-0.487938\pi\) |
0.846461 | − | 0.532450i | \(-0.178729\pi\) | |||||||
\(434\) | −3.56607 | − | 6.17662i | −0.171177 | − | 0.296487i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.822473 | 0.0393893 | ||||||||
\(437\) | −2.46095 | + | 0.566723i | −0.117723 | + | 0.0271100i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.79140 | − | 8.29895i | −0.228681 | − | 0.396087i | 0.728736 | − | 0.684794i | \(-0.240108\pi\) |
−0.957417 | + | 0.288707i | \(0.906775\pi\) | |||||||
\(440\) | 6.23593 | + | 10.8010i | 0.297287 | + | 0.514915i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 25.1219 | + | 43.5123i | 1.19492 | + | 2.06967i | ||||
\(443\) | −11.1218 | + | 19.2635i | −0.528412 | + | 0.915236i | 0.471040 | + | 0.882112i | \(0.343879\pi\) |
−0.999451 | + | 0.0331236i | \(0.989454\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 9.84186 | 0.466549 | ||||||||
\(446\) | −18.8931 | + | 32.7239i | −0.894616 | + | 1.54952i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −36.3516 | −1.71745 | ||||||||
\(449\) | 0.491188 | 0.0231806 | 0.0115903 | − | 0.999933i | \(-0.496311\pi\) | ||||
0.0115903 | + | 0.999933i | \(0.496311\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.64623 | − | 2.85136i | −0.0775180 | − | 0.134265i | ||||
\(452\) | −0.294873 | + | 0.510736i | −0.0138697 | + | 0.0240230i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 17.3312 | + | 30.0185i | 0.813394 | + | 1.40884i | ||||
\(455\) | −27.7579 | −1.30131 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 13.2607 | 0.620311 | 0.310156 | − | 0.950686i | \(-0.399619\pi\) | ||||
0.310156 | + | 0.950686i | \(0.399619\pi\) | |||||||
\(458\) | 3.44336 | + | 5.96407i | 0.160897 | + | 0.278683i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0265707 | + | 0.0460218i | −0.00123887 | + | 0.00214578i | ||||
\(461\) | 11.6867 | + | 20.2420i | 0.544305 | + | 0.942763i | 0.998650 | + | 0.0519379i | \(0.0165398\pi\) |
−0.454346 | + | 0.890825i | \(0.650127\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.981649 | −0.0456211 | −0.0228105 | − | 0.999740i | \(-0.507261\pi\) | ||||
−0.0228105 | + | 0.999740i | \(0.507261\pi\) | |||||||
\(464\) | −13.5320 | −0.628207 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.83851 | + | 15.3087i | −0.409436 | + | 0.709164i | ||||
\(467\) | 18.8498 | 0.872264 | 0.436132 | − | 0.899883i | \(-0.356348\pi\) | ||||
0.436132 | + | 0.899883i | \(0.356348\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.73457 | + | 15.1287i | −0.403325 | + | 0.698579i | ||||
\(470\) | −1.88744 | − | 3.26914i | −0.0870610 | − | 0.150794i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.53296 | + | 9.58337i | 0.254675 | + | 0.441110i | ||||
\(473\) | 13.7314 | + | 23.7834i | 0.631369 | + | 1.09356i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.24772 | + | 0.978193i | −0.194899 | + | 0.0448826i | ||||
\(476\) | −2.28750 | −0.104847 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.84440 | − | 15.3189i | −0.404533 | − | 0.700672i | ||||
\(479\) | 10.0795 | − | 17.4583i | 0.460546 | − | 0.797688i | −0.538443 | − | 0.842662i | \(-0.680987\pi\) |
0.998988 | + | 0.0449739i | \(0.0143205\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −20.8252 | + | 36.0704i | −0.949549 | + | 1.64467i | ||||
\(482\) | 1.50958 | 0.0687596 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.349931 | − | 0.606098i | 0.0159059 | − | 0.0275499i | ||||
\(485\) | 1.00000 | − | 1.73205i | 0.0454077 | − | 0.0786484i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.79159 | 0.126499 | 0.0632494 | − | 0.997998i | \(-0.479854\pi\) | ||||
0.0632494 | + | 0.997998i | \(0.479854\pi\) | |||||||
\(488\) | 17.3675 | − | 30.0814i | 0.786190 | − | 1.36172i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −8.31098 | + | 14.3950i | −0.375452 | + | 0.650302i | ||||
\(491\) | 2.88904 | + | 5.00397i | 0.130381 | + | 0.225826i | 0.923823 | − | 0.382819i | \(-0.125047\pi\) |
−0.793443 | + | 0.608645i | \(0.791713\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −20.3129 | −0.914849 | ||||||||
\(494\) | 26.1132 | + | 28.0341i | 1.17489 | + | 1.26131i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.25337 | + | 3.90295i | 0.101179 | + | 0.175248i | ||||
\(497\) | −6.71641 | − | 11.6332i | −0.301272 | − | 0.521819i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.39792 | − | 11.0815i | −0.286410 | − | 0.496077i | 0.686540 | − | 0.727092i | \(-0.259129\pi\) |
−0.972950 | + | 0.231015i | \(0.925795\pi\) | |||||||
\(500\) | −0.0458624 | + | 0.0794360i | −0.00205103 | + | 0.00355249i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 8.42004 | 0.375805 | ||||||||
\(503\) | 15.8339 | − | 27.4252i | 0.706000 | − | 1.22283i | −0.260329 | − | 0.965520i | \(-0.583831\pi\) |
0.966329 | − | 0.257308i | \(-0.0828356\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.49970 | −0.200234 | ||||||||
\(506\) | −3.45440 | −0.153567 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.283588 | − | 0.491189i | −0.0125822 | − | 0.0217930i | ||||
\(509\) | −2.74405 | + | 4.75283i | −0.121628 | + | 0.210665i | −0.920410 | − | 0.390955i | \(-0.872145\pi\) |
0.798782 | + | 0.601621i | \(0.205478\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 17.6391 | + | 30.5517i | 0.780306 | + | 1.35153i | ||||
\(512\) | 23.9817 | 1.05985 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6.38252 | 0.281521 | ||||||||
\(515\) | −8.03585 | − | 13.9185i | −0.354102 | − | 0.613323i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.89737 | + | 10.2145i | −0.259366 | + | 0.449235i | ||||
\(518\) | 19.7252 | + | 34.1651i | 0.866678 | + | 1.50113i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 18.3850 | 0.806234 | ||||||||
\(521\) | −8.28086 | −0.362791 | −0.181396 | − | 0.983410i | \(-0.558061\pi\) | ||||
−0.181396 | + | 0.983410i | \(0.558061\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −5.77584 | + | 10.0040i | −0.252560 | + | 0.437446i | −0.964230 | − | 0.265067i | \(-0.914606\pi\) |
0.711670 | + | 0.702514i | \(0.247939\pi\) | |||||||
\(524\) | 1.59578 | 0.0697118 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 20.7552 | − | 35.9491i | 0.904970 | − | 1.56745i | ||||
\(527\) | 3.38254 | + | 5.85874i | 0.147346 | + | 0.255211i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.3322 | + | 19.6279i | 0.492703 | + | 0.853387i | ||||
\(530\) | 3.54817 | + | 6.14561i | 0.154123 | + | 0.266948i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.69978 | + | 0.391436i | −0.0736948 | + | 0.0169709i | ||||
\(533\) | −4.85347 | −0.210227 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.83945 | − | 11.8463i | −0.295695 | − | 0.512159i | ||||
\(536\) | 5.78518 | − | 10.0202i | 0.249882 | − | 0.432808i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.145931 | − | 0.252759i | 0.00629152 | − | 0.0108972i | ||||
\(539\) | 51.9360 | 2.23704 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.9374 | − | 22.4083i | 0.556224 | − | 0.963409i | −0.441583 | − | 0.897220i | \(-0.645583\pi\) |
0.997807 | − | 0.0661881i | \(-0.0210837\pi\) | |||||||
\(542\) | −5.11622 | + | 8.86155i | −0.219760 | + | 0.380636i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.96372 | 0.127069 | ||||||||
\(545\) | −4.48337 | + | 7.76542i | −0.192046 | + | 0.332634i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.20287 | + | 5.54753i | −0.136945 | + | 0.237195i | −0.926339 | − | 0.376692i | \(-0.877062\pi\) |
0.789394 | + | 0.613887i | \(0.210395\pi\) | |||||||
\(548\) | −0.720793 | − | 1.24845i | −0.0307907 | − | 0.0533311i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.96248 | −0.254241 | ||||||||
\(551\) | −15.0940 | + | 3.47595i | −0.643028 | + | 0.148080i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 24.7291 | + | 42.8320i | 1.05159 | + | 1.82140i | ||||
\(554\) | −20.0765 | − | 34.7736i | −0.852970 | − | 1.47739i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.300557 | + | 0.520580i | 0.0127464 | + | 0.0220775i | ||||
\(557\) | −1.76281 | + | 3.05327i | −0.0746925 | + | 0.129371i | −0.900953 | − | 0.433918i | \(-0.857131\pi\) |
0.826260 | + | 0.563289i | \(0.190464\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 40.4832 | 1.71226 | ||||||||
\(560\) | 8.30677 | − | 14.3878i | 0.351025 | − | 0.607993i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.8529 | 0.668713 | ||||||||
\(563\) | 30.7179 | 1.29461 | 0.647303 | − | 0.762232i | \(-0.275897\pi\) | ||||
0.647303 | + | 0.762232i | \(0.275897\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.21476 | − | 5.56813i | −0.135246 | − | 0.234253i | ||||
\(566\) | −18.8786 | + | 32.6986i | −0.793525 | + | 1.37443i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.44849 | + | 7.70501i | 0.186654 | + | 0.323295i | ||||
\(569\) | −9.17896 | −0.384802 | −0.192401 | − | 0.981316i | \(-0.561627\pi\) | ||||
−0.192401 | + | 0.981316i | \(0.561627\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.49001 | −0.313447 | −0.156724 | − | 0.987643i | \(-0.550093\pi\) | ||||
−0.156724 | + | 0.987643i | \(0.550093\pi\) | |||||||
\(572\) | −1.25951 | − | 2.18153i | −0.0526627 | − | 0.0912145i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.29855 | + | 3.98121i | −0.0959398 | + | 0.166173i | ||||
\(575\) | −0.289678 | − | 0.501738i | −0.0120804 | − | 0.0209239i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 32.6093 | 1.35754 | 0.678771 | − | 0.734350i | \(-0.262513\pi\) | ||||
0.678771 | + | 0.734350i | \(0.262513\pi\) | |||||||
\(578\) | −21.6568 | −0.900803 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.162969 | + | 0.282271i | −0.00676694 | + | 0.0117207i | ||||
\(581\) | 33.5003 | 1.38983 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.0864 | − | 19.2022i | 0.459152 | − | 0.795275i | ||||
\(584\) | −11.6829 | − | 20.2354i | −0.483442 | − | 0.837346i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.99367 | − | 15.5775i | −0.371525 | − | 0.643500i | ||||
\(587\) | −9.19474 | − | 15.9258i | −0.379508 | − | 0.657326i | 0.611483 | − | 0.791258i | \(-0.290573\pi\) |
−0.990991 | + | 0.133931i | \(0.957240\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.51603 | + | 3.77466i | 0.144875 | + | 0.155532i | ||||
\(590\) | −5.29033 | −0.217800 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −12.4642 | − | 21.5886i | −0.512276 | − | 0.887288i | ||||
\(593\) | 0.208669 | − | 0.361425i | 0.00856900 | − | 0.0148419i | −0.861709 | − | 0.507403i | \(-0.830606\pi\) |
0.870278 | + | 0.492561i | \(0.163939\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.4693 | − | 21.5975i | 0.511193 | − | 0.885412i | ||||
\(596\) | 0.527528 | 0.0216084 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.54609 | + | 4.40996i | −0.104118 | + | 0.180337i | ||||
\(599\) | −19.4828 | + | 33.7452i | −0.796045 | + | 1.37879i | 0.126129 | + | 0.992014i | \(0.459745\pi\) |
−0.922174 | + | 0.386776i | \(0.873589\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.0358 | 0.409367 | 0.204683 | − | 0.978828i | \(-0.434383\pi\) | ||||
0.204683 | + | 0.978828i | \(0.434383\pi\) | |||||||
\(602\) | 19.1725 | − | 33.2077i | 0.781411 | − | 1.35344i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.580953 | + | 1.00624i | −0.0236386 | + | 0.0409433i | ||||
\(605\) | 3.81500 | + | 6.60778i | 0.155102 | + | 0.268644i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.25423 | −0.253851 | −0.126926 | − | 0.991912i | \(-0.540511\pi\) | ||||
−0.126926 | + | 0.991912i | \(0.540511\pi\) | |||||||
\(608\) | 2.20227 | − | 0.507152i | 0.0893137 | − | 0.0205677i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8.30296 | + | 14.3812i | 0.336177 | + | 0.582276i | ||||
\(611\) | 8.69340 | + | 15.0574i | 0.351697 | + | 0.609157i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.9371 | − | 25.8719i | −0.603306 | − | 1.04496i | −0.992317 | − | 0.123723i | \(-0.960517\pi\) |
0.389011 | − | 0.921233i | \(-0.372817\pi\) | |||||||
\(614\) | 2.78031 | − | 4.81563i | 0.112204 | − | 0.194343i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −54.4103 | −2.19225 | ||||||||
\(617\) | −15.3197 | + | 26.5346i | −0.616749 | + | 1.06824i | 0.373326 | + | 0.927700i | \(0.378217\pi\) |
−0.990075 | + | 0.140540i | \(0.955116\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 21.1480 | 0.850011 | 0.425006 | − | 0.905191i | \(-0.360272\pi\) | ||||
0.425006 | + | 0.905191i | \(0.360272\pi\) | |||||||
\(620\) | 0.108552 | 0.00435954 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.6076 | − | 18.3730i | −0.425328 | − | 0.736690i | ||||
\(623\) | −21.4683 | + | 37.1841i | −0.860108 | + | 1.48975i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −30.3356 | −1.21245 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.126476 | −0.00504696 | ||||||||
\(629\) | −18.7101 | − | 32.4068i | −0.746020 | − | 1.29214i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.0124 | − | 22.5381i | 0.518014 | − | 0.897227i | −0.481767 | − | 0.876299i | \(-0.660005\pi\) |
0.999781 | − | 0.0209274i | \(-0.00666189\pi\) | |||||||
\(632\) | −16.3788 | − | 28.3690i | −0.651515 | − | 1.12846i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −33.3304 | −1.32372 | ||||||||
\(635\) | 6.18345 | 0.245383 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 38.2798 | − | 66.3025i | 1.51670 | − | 2.62700i | ||||
\(638\) | −21.1873 | −0.838815 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −5.23680 | + | 9.07040i | −0.207003 | + | 0.358539i | ||||
\(641\) | −9.59982 | − | 16.6274i | −0.379170 | − | 0.656742i | 0.611771 | − | 0.791035i | \(-0.290457\pi\) |
−0.990942 | + | 0.134292i | \(0.957124\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.27305 | − | 7.40113i | −0.168513 | − | 0.291872i | 0.769385 | − | 0.638786i | \(-0.220563\pi\) |
−0.937897 | + | 0.346914i | \(0.887230\pi\) | |||||||
\(644\) | −0.115919 | − | 0.200777i | −0.00456783 | − | 0.00791172i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −33.5429 | + | 7.72446i | −1.31973 | + | 0.303915i | ||||
\(647\) | 21.6966 | 0.852983 | 0.426492 | − | 0.904492i | \(-0.359749\pi\) | ||||
0.426492 | + | 0.904492i | \(0.359749\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 8.26493 | + | 14.3153i | 0.324427 | + | 0.561924i | ||||
\(650\) | −4.39469 | + | 7.61182i | −0.172374 | + | 0.298560i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.532555 | + | 0.922413i | −0.0208565 | + | 0.0361245i | ||||
\(653\) | 4.39011 | 0.171798 | 0.0858991 | − | 0.996304i | \(-0.472624\pi\) | ||||
0.0858991 | + | 0.996304i | \(0.472624\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −8.69872 | + | 15.0666i | −0.339887 | + | 0.588702i | ||||
\(656\) | 1.45244 | − | 2.51569i | 0.0567081 | − | 0.0982213i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 16.4684 | 0.642006 | ||||||||
\(659\) | −7.57327 | + | 13.1173i | −0.295013 | + | 0.510977i | −0.974988 | − | 0.222258i | \(-0.928657\pi\) |
0.679975 | + | 0.733235i | \(0.261991\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.65794 | + | 6.33574i | −0.142277 | + | 0.246432i | −0.928354 | − | 0.371698i | \(-0.878776\pi\) |
0.786076 | + | 0.618129i | \(0.212109\pi\) | |||||||
\(662\) | −17.1582 | − | 29.7188i | −0.666871 | − | 1.15505i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −22.1883 | −0.861072 | ||||||||
\(665\) | 5.56988 | − | 18.1823i | 0.215991 | − | 0.705080i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.02936 | − | 1.78290i | −0.0398568 | − | 0.0690340i | ||||
\(668\) | 0.931530 | + | 1.61346i | 0.0360420 | + | 0.0624265i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.76575 | + | 4.79041i | 0.106850 | + | 0.185070i | ||||
\(671\) | 25.9429 | − | 44.9345i | 1.00152 | − | 1.73468i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 39.7027 | 1.53043 | 0.765213 | − | 0.643777i | \(-0.222634\pi\) | ||||
0.765213 | + | 0.643777i | \(0.222634\pi\) | |||||||
\(674\) | 0.393218 | − | 0.681074i | 0.0151462 | − | 0.0262340i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.52090 | −0.0969575 | ||||||||
\(677\) | 9.45197 | 0.363269 | 0.181634 | − | 0.983366i | \(-0.441861\pi\) | ||||
0.181634 | + | 0.983366i | \(0.441861\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.36264 | + | 7.55632i | 0.167423 | + | 0.289985i | ||||
\(680\) | −8.25883 | + | 14.3047i | −0.316712 | + | 0.548561i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.52815 | + | 6.11093i | 0.135100 | + | 0.234000i | ||||
\(683\) | 6.27600 | 0.240145 | 0.120072 | − | 0.992765i | \(-0.461687\pi\) | ||||
0.120072 | + | 0.992765i | \(0.461687\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 15.7164 | 0.600493 | ||||||||
\(686\) | −15.1648 | − | 26.2663i | −0.578996 | − | 1.00285i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −12.1149 | + | 20.9836i | −0.461877 | + | 0.799994i | ||||
\(689\) | −16.3426 | − | 28.3063i | −0.622604 | − | 1.07838i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −33.8913 | −1.28929 | −0.644643 | − | 0.764483i | \(-0.722994\pi\) | ||||
−0.644643 | + | 0.764483i | \(0.722994\pi\) | |||||||
\(692\) | −1.12371 | −0.0427171 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.47439 | + | 11.2140i | −0.245765 | + | 0.425677i | ||||
\(695\) | −6.55344 | −0.248586 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.18026 | − | 3.77632i | 0.0825832 | − | 0.143038i | ||||
\(698\) | 10.2429 | + | 17.7412i | 0.387699 | + | 0.671514i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.200081 | − | 0.346551i | −0.00756237 | − | 0.0130984i | ||||
\(701\) | 20.1520 | + | 34.9043i | 0.761131 | + | 1.31832i | 0.942268 | + | 0.334860i | \(0.108689\pi\) |
−0.181136 | + | 0.983458i | \(0.557978\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −19.4484 | − | 20.8790i | −0.733512 | − | 0.787467i | ||||
\(704\) | 35.9650 | 1.35548 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −21.5948 | − | 37.4033i | −0.812730 | − | 1.40769i | ||||
\(707\) | 9.81529 | − | 17.0006i | 0.369142 | − | 0.639373i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.63706 | − | 4.56751i | 0.0990367 | − | 0.171537i | −0.812249 | − | 0.583310i | \(-0.801757\pi\) |
0.911286 | + | 0.411774i | \(0.135091\pi\) | |||||||
\(710\) | −4.25342 | −0.159628 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.2191 | − | 24.6282i | 0.532884 | − | 0.922981i | ||||
\(713\) | −0.342820 | + | 0.593782i | −0.0128387 | + | 0.0222373i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 27.4628 | 1.02705 | ||||||||
\(716\) | 0.879826 | − | 1.52390i | 0.0328806 | − | 0.0569509i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −7.50877 | + | 13.0056i | −0.280225 | + | 0.485364i | ||||
\(719\) | 11.8834 | + | 20.5827i | 0.443176 | + | 0.767604i | 0.997923 | − | 0.0644151i | \(-0.0205182\pi\) |
−0.554747 | + | 0.832019i | \(0.687185\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 70.1151 | 2.61122 | ||||||||
\(722\) | −23.6030 | + | 11.4797i | −0.878414 | + | 0.427231i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.148128 | − | 0.256566i | −0.00550515 | − | 0.00953520i | ||||
\(725\) | −1.77672 | − | 3.07737i | −0.0659858 | − | 0.114291i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.9225 | + | 29.3106i | 0.627620 | + | 1.08707i | 0.988028 | + | 0.154275i | \(0.0493040\pi\) |
−0.360408 | + | 0.932795i | \(0.617363\pi\) | |||||||
\(728\) | −40.1035 | + | 69.4613i | −1.48634 | + | 2.57441i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 11.1706 | 0.413442 | ||||||||
\(731\) | −18.1857 | + | 31.4986i | −0.672624 | + | 1.16502i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.6249 | 0.909542 | 0.454771 | − | 0.890608i | \(-0.349721\pi\) | ||||
0.454771 | + | 0.890608i | \(0.349721\pi\) | |||||||
\(734\) | 25.8731 | 0.954992 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.150186 | + | 0.260130i | 0.00553594 | + | 0.00958853i | ||||
\(737\) | 8.64168 | − | 14.9678i | 0.318320 | − | 0.551347i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.22966 | − | 15.9862i | −0.339518 | − | 0.588063i | 0.644824 | − | 0.764331i | \(-0.276931\pi\) |
−0.984342 | + | 0.176268i | \(0.943597\pi\) | |||||||
\(740\) | −0.600439 | −0.0220726 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −30.9588 | −1.13653 | ||||||||
\(743\) | −4.47864 | − | 7.75723i | −0.164305 | − | 0.284585i | 0.772103 | − | 0.635497i | \(-0.219205\pi\) |
−0.936408 | + | 0.350912i | \(0.885872\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.87560 | + | 4.98069i | −0.105354 | + | 0.182478i | ||||
\(746\) | 20.2565 | + | 35.0853i | 0.741644 | + | 1.28457i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.26317 | 0.0827497 | ||||||||
\(749\) | 59.6761 | 2.18052 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.6128 | − | 25.3101i | 0.533228 | − | 0.923578i | −0.466019 | − | 0.884775i | \(-0.654312\pi\) |
0.999247 | − | 0.0388032i | \(-0.0123545\pi\) | |||||||
\(752\) | −10.4063 | −0.379477 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −15.6163 | + | 27.0482i | −0.568711 | + | 0.985037i | ||||
\(755\) | −6.33364 | − | 10.9702i | −0.230505 | − | 0.399246i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.33886 | − | 16.1754i | −0.339427 | − | 0.587904i | 0.644898 | − | 0.764268i | \(-0.276900\pi\) |
−0.984325 | + | 0.176364i | \(0.943566\pi\) | |||||||
\(758\) | −7.35499 | − | 12.7392i | −0.267145 | − | 0.462709i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.68911 | + | 12.0427i | −0.133818 | + | 0.436836i | ||||
\(761\) | −41.5952 | −1.50782 | −0.753912 | − | 0.656975i | \(-0.771836\pi\) | ||||
−0.753912 | + | 0.656975i | \(0.771836\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −19.5593 | − | 33.8778i | −0.708096 | − | 1.22646i | ||||
\(764\) | −1.26355 | + | 2.18854i | −0.0457137 | + | 0.0791785i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −6.40940 | + | 11.1014i | −0.231581 | + | 0.401110i | ||||
\(767\) | 24.3669 | 0.879838 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −17.6255 | + | 30.5282i | −0.635590 | + | 1.10087i | 0.350800 | + | 0.936450i | \(0.385910\pi\) |
−0.986390 | + | 0.164424i | \(0.947424\pi\) | |||||||
\(770\) | 13.0061 | − | 22.5272i | 0.468707 | − | 0.811824i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.04057 | −0.0734417 | ||||||||
\(773\) | 23.9762 | − | 41.5280i | 0.862364 | − | 1.49366i | −0.00727780 | − | 0.999974i | \(-0.502317\pi\) |
0.869641 | − | 0.493684i | \(-0.164350\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.591725 | + | 1.02490i | −0.0212554 | + | 0.0368154i | ||||
\(776\) | −2.88952 | − | 5.00479i | −0.103728 | − | 0.179661i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.84068 | 0.0659917 | ||||||||
\(779\) | 0.973891 | − | 3.17917i | 0.0348933 | − | 0.113906i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.64499 | + | 11.5095i | 0.237776 | + | 0.411841i | ||||
\(782\) | −2.28750 | − | 3.96206i | −0.0818007 | − | 0.141683i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 22.9110 | + | 39.6830i | 0.818250 | + | 1.41725i | ||||
\(785\) | 0.689434 | − | 1.19414i | 0.0246070 | − | 0.0426205i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.26074 | −0.187525 | −0.0937626 | − | 0.995595i | \(-0.529889\pi\) | ||||
−0.0937626 | + | 0.995595i | \(0.529889\pi\) | |||||||
\(788\) | −0.580741 | + | 1.00587i | −0.0206880 | + | 0.0358327i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 15.6606 | 0.557179 | ||||||||
\(791\) | 28.0497 | 0.997333 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −38.2429 | − | 66.2386i | −1.35804 | − | 2.35220i | ||||
\(794\) | −21.8709 | + | 37.8815i | −0.776170 | + | 1.34437i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.402193 | − | 0.696619i | −0.0142554 | − | 0.0246910i | ||||
\(797\) | 21.0174 | 0.744474 | 0.372237 | − | 0.928138i | \(-0.378591\pi\) | ||||
0.372237 | + | 0.928138i | \(0.378591\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −15.6209 | −0.552627 | ||||||||
\(800\) | 0.259229 | + | 0.448998i | 0.00916514 | + | 0.0158745i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 3.37649 | − | 5.84825i | 0.119228 | − | 0.206509i | ||||
\(803\) | −17.4515 | − | 30.2268i | −0.615849 | − | 1.06668i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.52753 | 0.0890837 | ||||||||
\(806\) | 10.4018 | 0.366387 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −6.50098 | + | 11.2600i | −0.228704 | + | 0.396126i | ||||
\(809\) | −35.3856 | −1.24409 | −0.622046 | − | 0.782981i | \(-0.713698\pi\) | ||||
−0.622046 | + | 0.782981i | \(0.713698\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.67523 | + | 4.63364i | −0.0939401 | + | 0.162709i | −0.909166 | − | 0.416434i | \(-0.863280\pi\) |
0.815226 | + | 0.579143i | \(0.196613\pi\) | |||||||
\(812\) | −0.710978 | − | 1.23145i | −0.0249504 | − | 0.0432154i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −19.5155 | − | 33.8018i | −0.684017 | − | 1.18475i | ||||
\(815\) | −5.80601 | − | 10.0563i | −0.203376 | − | 0.352257i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −8.12332 | + | 26.5178i | −0.284199 | + | 0.927740i | ||||
\(818\) | 31.4796 | 1.10066 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.0349842 | − | 0.0605943i | −0.00122170 | − | 0.00211605i | ||||
\(821\) | 3.81886 | − | 6.61446i | 0.133279 | − | 0.230846i | −0.791660 | − | 0.610962i | \(-0.790783\pi\) |
0.924939 | + | 0.380116i | \(0.124116\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.7866 | + | 23.8791i | −0.480570 | + | 0.832372i | −0.999752 | − | 0.0222919i | \(-0.992904\pi\) |
0.519181 | + | 0.854664i | \(0.326237\pi\) | |||||||
\(824\) | −46.4394 | −1.61779 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 11.5399 | − | 19.9877i | 0.401525 | − | 0.695462i | ||||
\(827\) | −9.51585 | + | 16.4819i | −0.330898 | + | 0.573133i | −0.982688 | − | 0.185267i | \(-0.940685\pi\) |
0.651790 | + | 0.758400i | \(0.274018\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.7455 | −0.477402 | −0.238701 | − | 0.971093i | \(-0.576722\pi\) | ||||
−0.238701 | + | 0.971093i | \(0.576722\pi\) | |||||||
\(830\) | 5.30382 | − | 9.18649i | 0.184098 | − | 0.318868i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 26.5083 | − | 45.9137i | 0.919009 | − | 1.59177i | ||||
\(833\) | 34.3918 | + | 59.5684i | 1.19161 | + | 2.06392i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −20.3114 | −0.702905 | ||||||||
\(836\) | 1.68170 | − | 0.387274i | 0.0581629 | − | 0.0133941i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −21.3295 | − | 36.9438i | −0.736815 | − | 1.27620i | ||||
\(839\) | 17.1800 | + | 29.7566i | 0.593118 | + | 1.02731i | 0.993809 | + | 0.111098i | \(0.0354367\pi\) |
−0.400691 | + | 0.916213i | \(0.631230\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 8.18652 | + | 14.1795i | 0.282294 | + | 0.488947i | ||||
\(842\) | 18.3576 | − | 31.7963i | 0.632644 | − | 1.09577i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.721671 | −0.0248409 | ||||||||
\(845\) | 13.7416 | − | 23.8012i | 0.472726 | − | 0.818786i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −33.2870 | −1.14375 | ||||||||
\(848\) | 19.5626 | 0.671783 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.94834 | − | 6.83872i | −0.135427 | − | 0.234566i | ||||
\(851\) | 1.89626 | − | 3.28442i | 0.0650030 | − | 0.112589i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −22.7147 | − | 39.3431i | −0.777738 | − | 1.34708i | −0.933243 | − | 0.359247i | \(-0.883034\pi\) |
0.155505 | − | 0.987835i | \(-0.450300\pi\) | |||||||
\(854\) | −72.4457 | −2.47904 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −39.5254 | −1.35095 | ||||||||
\(857\) | 6.94674 | + | 12.0321i | 0.237296 | + | 0.411009i | 0.959937 | − | 0.280214i | \(-0.0904055\pi\) |
−0.722641 | + | 0.691223i | \(0.757072\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.60333 | − | 2.77705i | 0.0547049 | − | 0.0947517i | −0.837376 | − | 0.546627i | \(-0.815912\pi\) |
0.892081 | + | 0.451875i | \(0.149245\pi\) | |||||||
\(860\) | 0.291806 | + | 0.505423i | 0.00995051 | + | 0.0172348i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 22.7577 | 0.775132 | ||||||||
\(863\) | −51.7277 | −1.76083 | −0.880416 | − | 0.474201i | \(-0.842737\pi\) | ||||
−0.880416 | + | 0.474201i | \(0.842737\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.12545 | − | 10.6096i | 0.208272 | − | 0.360737i | ||||
\(866\) | 50.8413 | 1.72766 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.236786 | + | 0.410126i | −0.00803705 | + | 0.0139206i | ||||
\(869\) | −24.4661 | − | 42.3765i | −0.829955 | − | 1.43752i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −12.7388 | − | 22.0643i | −0.431639 | − | 0.747620i | ||||
\(872\) | 12.9548 | + | 22.4383i | 0.438704 | + | 0.759857i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.37777 | − | 2.55267i | −0.0804292 | − | 0.0863453i | ||||
\(875\) | 4.36264 | 0.147484 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.51355 | − | 14.7459i | −0.287482 | − | 0.497933i | 0.685726 | − | 0.727860i | \(-0.259485\pi\) |
−0.973208 | + | 0.229926i | \(0.926151\pi\) | |||||||
\(878\) | 6.61885 | − | 11.4642i | 0.223376 | − | 0.386898i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.21843 | + | 14.2347i | −0.277043 | + | 0.479853i | ||||
\(881\) | −12.9112 | −0.434990 | −0.217495 | − | 0.976061i | \(-0.569789\pi\) | ||||
−0.217495 | + | 0.976061i | \(0.569789\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.5102 | + | 21.6684i | −0.421003 | + | 0.729199i | −0.996038 | − | 0.0889302i | \(-0.971655\pi\) |
0.575035 | + | 0.818129i | \(0.304989\pi\) | |||||||
\(884\) | 1.66808 | − | 2.88921i | 0.0561038 | − | 0.0971746i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −30.7273 | −1.03230 | ||||||||
\(887\) | 5.03634 | − | 8.72319i | 0.169104 | − | 0.292896i | −0.769001 | − | 0.639247i | \(-0.779246\pi\) |
0.938105 | + | 0.346351i | \(0.112579\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.4881 | + | 23.3621i | −0.452376 | + | 0.783539i | ||||
\(890\) | 6.79779 | + | 11.7741i | 0.227862 | + | 0.394669i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.50900 | 0.0840075 | ||||||||
\(893\) | −11.6075 | + | 2.67304i | −0.388430 | + | 0.0894500i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.59201 | + | 16.6139i | 0.320626 | + | 0.555340i | ||||
\(896\) | −22.8463 | − | 39.5709i | −0.763240 | − | 1.32197i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.339264 | + | 0.587623i | 0.0113214 | + | 0.0196092i | ||||
\(899\) | −2.10266 | + | 3.64191i | −0.0701276 | + | 0.121465i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 29.3655 | 0.978307 | ||||||||
\(902\) | 2.27411 | − | 3.93887i | 0.0757196 | − | 0.131150i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −18.5782 | −0.617902 | ||||||||
\(905\) | 3.22984 | 0.107364 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.93231 | + | 6.81096i | 0.130570 | + | 0.226154i | 0.923897 | − | 0.382642i | \(-0.124986\pi\) |
−0.793326 | + | 0.608797i | \(0.791653\pi\) | |||||||
\(908\) | 1.15079 | − | 1.99322i | 0.0381903 | − | 0.0661475i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −19.1725 | − | 33.2077i | −0.635561 | − | 1.10082i | ||||
\(911\) | 52.2665 | 1.73167 | 0.865833 | − | 0.500333i | \(-0.166789\pi\) | ||||
0.865833 | + | 0.500333i | \(0.166789\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −33.1440 | −1.09691 | ||||||||
\(914\) | 9.15922 | + | 15.8642i | 0.302960 | + | 0.524742i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.228638 | − | 0.396013i | 0.00755441 | − | 0.0130846i | ||||
\(917\) | −37.9494 | − | 65.7303i | −1.25320 | − | 2.17061i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 24.2225 | 0.799026 | 0.399513 | − | 0.916728i | \(-0.369179\pi\) | ||||
0.399513 | + | 0.916728i | \(0.369179\pi\) | |||||||
\(920\) | −1.67406 | −0.0551922 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −16.1441 | + | 27.9623i | −0.531677 | + | 0.920891i | ||||
\(923\) | 19.5909 | 0.644844 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.27305 | − | 5.66908i | 0.107617 | − | 0.186398i | ||||
\(926\) | −0.678026 | − | 1.17438i | −0.0222813 | − | 0.0385924i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.921156 | + | 1.59549i | 0.0302384 | + | 0.0523745i | ||||
\(929\) | −21.3993 | − | 37.0647i | −0.702089 | − | 1.21605i | −0.967732 | − | 0.251983i | \(-0.918917\pi\) |
0.265642 | − | 0.964072i | \(-0.414416\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 35.7490 | + | 38.3786i | 1.17163 | + | 1.25781i | ||||
\(932\) | 1.17375 | 0.0384474 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 13.0196 | + | 22.5506i | 0.426014 | + | 0.737877i | ||||
\(935\) | −12.3367 | + | 21.3678i | −0.403454 | + | 0.698803i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −5.67783 | + | 9.83429i | −0.185487 | + | 0.321272i | −0.943740 | − | 0.330687i | \(-0.892719\pi\) |
0.758254 | + | 0.651960i | \(0.226053\pi\) | |||||||
\(938\) | −24.1319 | −0.787935 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.125325 | + | 0.217070i | −0.00408766 | + | 0.00708004i | ||||
\(941\) | 22.0711 | − | 38.2283i | 0.719498 | − | 1.24621i | −0.241701 | − | 0.970351i | \(-0.577705\pi\) |
0.961199 | − | 0.275856i | \(-0.0889613\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.441937 | 0.0143915 | ||||||||
\(944\) | −7.29198 | + | 12.6301i | −0.237334 | + | 0.411074i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −18.9686 | + | 32.8545i | −0.616721 | + | 1.06819i | ||||
\(947\) | −18.6191 | − | 32.2492i | −0.605038 | − | 1.04796i | −0.992045 | − | 0.125880i | \(-0.959825\pi\) |
0.387007 | − | 0.922077i | \(-0.373509\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −51.4509 | −1.67017 | ||||||||
\(950\) | −4.10415 | − | 4.40604i | −0.133156 | − | 0.142951i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −36.0303 | − | 62.4064i | −1.16775 | − | 2.02260i | ||||
\(953\) | −19.6433 | − | 34.0232i | −0.636310 | − | 1.10212i | −0.986236 | − | 0.165344i | \(-0.947127\pi\) |
0.349926 | − | 0.936777i | \(-0.386207\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.7755 | − | 23.8598i | −0.445764 | − | 0.772085i | ||||
\(956\) | −0.587266 | + | 1.01717i | −0.0189935 | + | 0.0328978i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 27.8478 | 0.899721 | ||||||||
\(959\) | −34.2826 | + | 59.3791i | −1.10704 | + | 1.91745i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −29.5994 | −0.954821 | ||||||||
\(962\) | −57.5361 | −1.85504 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.0501180 | − | 0.0868069i | −0.00161419 | − | 0.00279586i | ||||
\(965\) | 11.1233 | − | 19.2662i | 0.358072 | − | 0.620200i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.5429 | − | 18.2608i | −0.339037 | − | 0.587229i | 0.645215 | − | 0.764001i | \(-0.276768\pi\) |
−0.984252 | + | 0.176772i | \(0.943434\pi\) | |||||||
\(968\) | 22.0470 | 0.708618 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.76281 | 0.0887084 | ||||||||
\(971\) | −12.1226 | − | 20.9969i | −0.389031 | − | 0.673822i | 0.603288 | − | 0.797523i | \(-0.293857\pi\) |
−0.992319 | + | 0.123701i | \(0.960523\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 14.2952 | − | 24.7600i | 0.458282 | − | 0.793768i | ||||
\(974\) | 1.92815 | + | 3.33966i | 0.0617820 | + | 0.107010i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 45.7778 | 1.46531 | ||||||||
\(977\) | 51.4540 | 1.64616 | 0.823080 | − | 0.567926i | \(-0.192254\pi\) | ||||
0.823080 | + | 0.567926i | \(0.192254\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 21.2400 | − | 36.7887i | 0.678832 | − | 1.17577i | ||||
\(980\) | 1.10369 | 0.0352562 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.99093 | + | 6.91249i | −0.127356 | + | 0.220587i | ||||
\(983\) | 4.56746 | + | 7.91108i | 0.145679 | + | 0.252324i | 0.929626 | − | 0.368504i | \(-0.120130\pi\) |
−0.783947 | + | 0.620828i | \(0.786797\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −6.33133 | − | 10.9662i | −0.201733 | − | 0.349412i | ||||
\(986\) | −14.0302 | − | 24.3010i | −0.446812 | − | 0.773901i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.745111 | − | 2.43234i | 0.0237051 | − | 0.0773830i | ||||
\(989\) | −3.68624 | −0.117216 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.87713 | + | 15.3756i | 0.281991 | + | 0.488424i | 0.971875 | − | 0.235497i | \(-0.0756717\pi\) |
−0.689884 | + | 0.723920i | \(0.742338\pi\) | |||||||
\(992\) | 0.306785 | − | 0.531367i | 0.00974042 | − | 0.0168709i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 9.27807 | − | 16.0701i | 0.294283 | − | 0.509712i | ||||
\(995\) | 8.76955 | 0.278014 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 28.1217 | − | 48.7081i | 0.890622 | − | 1.54260i | 0.0514903 | − | 0.998673i | \(-0.483603\pi\) |
0.839131 | − | 0.543929i | \(-0.183064\pi\) | |||||||
\(998\) | 8.83810 | − | 15.3080i | 0.279765 | − | 0.484568i | ||||
\(999\) | 0 | 0 |
(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 | 855.2.k.i.406.4 | 10 | ||
3.2 | odd | 2 | 285.2.i.f.121.2 | yes | 10 | ||
19.11 | even | 3 | inner | 855.2.k.i.676.4 | 10 | ||
57.11 | odd | 6 | 285.2.i.f.106.2 | ✓ | 10 | ||
57.26 | odd | 6 | 5415.2.a.y.1.4 | 5 | |||
57.50 | even | 6 | 5415.2.a.z.1.2 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
285.2.i.f.106.2 | ✓ | 10 | 57.11 | odd | 6 | ||
285.2.i.f.121.2 | yes | 10 | 3.2 | odd | 2 | ||
855.2.k.i.406.4 | 10 | 1.1 | even | 1 | trivial | ||
855.2.k.i.676.4 | 10 | 19.11 | even | 3 | inner | ||
5415.2.a.y.1.4 | 5 | 57.26 | odd | 6 | |||
5415.2.a.z.1.2 | 5 | 57.50 | even | 6 |