Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1890,2,Mod(629,1890)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1890, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1890.629");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1890 = 2 \cdot 3^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1890.bf (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(15.0917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 630) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 629.10 | ||
Character | \(\chi\) | \(=\) | 1890.629 |
Dual form | 1890.2.bf.f.1259.10 |
$q$-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 \(\left(\mathbb{Z}/1890\mathbb{Z}\right)^\times\).
\(n\) | \(757\) | \(1081\) | \(1541\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0.452503 | − | 2.18980i | 0.202365 | − | 0.979310i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.48907 | + | 0.896960i | 0.940780 | + | 0.339019i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.67017 | − | 1.48678i | −0.528155 | − | 0.470161i | ||||
\(11\) | −5.48007 | − | 3.16392i | −1.65230 | − | 0.953957i | −0.976123 | − | 0.217220i | \(-0.930301\pi\) |
−0.676179 | − | 0.736737i | \(-0.736366\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.28203 | + | 3.95259i | 0.632920 | + | 1.09625i | 0.986952 | + | 0.161017i | \(0.0514773\pi\) |
−0.354031 | + | 0.935234i | \(0.615189\pi\) | |||||||
\(14\) | 2.02132 | − | 1.70712i | 0.540222 | − | 0.456246i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | − | 2.72847i | − | 0.661751i | −0.943674 | − | 0.330875i | \(-0.892656\pi\) | ||
0.943674 | − | 0.330875i | \(-0.107344\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 4.11761i | − | 0.944644i | −0.881426 | − | 0.472322i | \(-0.843416\pi\) | ||
0.881426 | − | 0.472322i | \(-0.156584\pi\) | |||||||
\(20\) | −2.12268 | + | 0.703023i | −0.474645 | + | 0.157201i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.48007 | + | 3.16392i | −1.16835 | + | 0.674549i | ||||
\(23\) | −1.15619 | − | 2.00258i | −0.241083 | − | 0.417568i | 0.719940 | − | 0.694036i | \(-0.244169\pi\) |
−0.961023 | + | 0.276468i | \(0.910836\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.59048 | − | 1.98179i | −0.918096 | − | 0.396357i | ||||
\(26\) | 4.56405 | 0.895085 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.467745 | − | 2.60408i | −0.0883954 | − | 0.492124i | ||||
\(29\) | 0.173539 | + | 0.100193i | 0.0322254 | + | 0.0186054i | 0.516026 | − | 0.856573i | \(-0.327411\pi\) |
−0.483801 | + | 0.875178i | \(0.660744\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.10971 | + | 1.21804i | −0.378915 | + | 0.218767i | −0.677346 | − | 0.735664i | \(-0.736870\pi\) |
0.298431 | + | 0.954431i | \(0.403537\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.36292 | − | 1.36423i | −0.405238 | − | 0.233964i | ||||
\(35\) | 3.09048 | − | 5.04470i | 0.522386 | − | 0.852709i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 10.4673i | − | 1.72082i | −0.509605 | − | 0.860409i | \(-0.670208\pi\) | ||
0.509605 | − | 0.860409i | \(-0.329792\pi\) | |||||||
\(38\) | −3.56595 | − | 2.05880i | −0.578474 | − | 0.333982i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.452503 | + | 2.18980i | −0.0715470 | + | 0.346238i | ||||
\(41\) | −1.03090 | − | 1.78558i | −0.161000 | − | 0.278860i | 0.774228 | − | 0.632907i | \(-0.218139\pi\) |
−0.935228 | + | 0.354047i | \(0.884805\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.26144 | − | 4.19239i | −1.10736 | − | 0.639334i | −0.169215 | − | 0.985579i | \(-0.554123\pi\) |
−0.938144 | + | 0.346245i | \(0.887457\pi\) | |||||||
\(44\) | 6.32783i | 0.953957i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.31238 | −0.340943 | ||||||||
\(47\) | 7.86014 | + | 4.53806i | 1.14652 | + | 0.661943i | 0.948037 | − | 0.318161i | \(-0.103065\pi\) |
0.198483 | + | 0.980104i | \(0.436399\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.39093 | + | 4.46519i | 0.770132 | + | 0.637884i | ||||
\(50\) | −4.01152 | + | 2.98458i | −0.567314 | + | 0.422084i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.28203 | − | 3.95259i | 0.316460 | − | 0.548125i | ||||
\(53\) | −6.77638 | −0.930808 | −0.465404 | − | 0.885098i | \(-0.654091\pi\) | ||||
−0.465404 | + | 0.885098i | \(0.654091\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −9.40810 | + | 10.5686i | −1.26859 | + | 1.42507i | ||||
\(56\) | −2.48907 | − | 0.896960i | −0.332616 | − | 0.119861i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.173539 | − | 0.100193i | 0.0227868 | − | 0.0131560i | ||||
\(59\) | −0.616709 | − | 1.06817i | −0.0802887 | − | 0.139064i | 0.823085 | − | 0.567918i | \(-0.192251\pi\) |
−0.903374 | + | 0.428854i | \(0.858918\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.66558 | − | 0.961623i | −0.213256 | − | 0.123123i | 0.389568 | − | 0.920998i | \(-0.372624\pi\) |
−0.602824 | + | 0.797875i | \(0.705958\pi\) | |||||||
\(62\) | 2.43609i | 0.309383i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 9.68801 | − | 3.20863i | 1.20165 | − | 0.397982i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.07376 | + | 4.08404i | −0.864198 | + | 0.498945i | −0.865416 | − | 0.501054i | \(-0.832946\pi\) |
0.00121797 | + | 0.999999i | \(0.499612\pi\) | |||||||
\(68\) | −2.36292 | + | 1.36423i | −0.286546 | + | 0.165438i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.82360 | − | 5.19878i | −0.337484 | − | 0.621373i | ||||
\(71\) | − | 8.31846i | − | 0.987220i | −0.869684 | − | 0.493610i | \(-0.835677\pi\) | ||
0.869684 | − | 0.493610i | \(-0.164323\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 13.9450 | 1.63214 | 0.816072 | − | 0.577951i | \(-0.196148\pi\) | ||||
0.816072 | + | 0.577951i | \(0.196148\pi\) | |||||||
\(74\) | −9.06497 | − | 5.23366i | −1.05378 | − | 0.608401i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.56595 | + | 2.05880i | −0.409043 | + | 0.236161i | ||||
\(77\) | −10.8024 | − | 12.7906i | −1.23104 | − | 1.45762i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.01691 | − | 1.76135i | 0.114412 | − | 0.198167i | −0.803133 | − | 0.595800i | \(-0.796835\pi\) |
0.917544 | + | 0.397633i | \(0.130168\pi\) | |||||||
\(80\) | 1.67017 | + | 1.48678i | 0.186731 | + | 0.166227i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.06181 | −0.227688 | ||||||||
\(83\) | 3.64421 | + | 2.10398i | 0.400004 | + | 0.230942i | 0.686486 | − | 0.727143i | \(-0.259153\pi\) |
−0.286482 | + | 0.958086i | \(0.592486\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.97481 | − | 1.23464i | −0.648059 | − | 0.133915i | ||||
\(86\) | −7.26144 | + | 4.19239i | −0.783021 | + | 0.452078i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.48007 | + | 3.16392i | 0.584177 | + | 0.337275i | ||||
\(89\) | 9.48716 | 1.00564 | 0.502819 | − | 0.864392i | \(-0.332296\pi\) | ||||
0.502819 | + | 0.864392i | \(0.332296\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.13481 | + | 11.8851i | 0.223789 | + | 1.24590i | ||||
\(92\) | −1.15619 | + | 2.00258i | −0.120541 | + | 0.208784i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.86014 | − | 4.53806i | 0.810712 | − | 0.468065i | ||||
\(95\) | −9.01675 | − | 1.86323i | −0.925099 | − | 0.191163i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.42587 | + | 4.20173i | −0.246310 | + | 0.426622i | −0.962499 | − | 0.271285i | \(-0.912551\pi\) |
0.716189 | + | 0.697906i | \(0.245885\pi\) | |||||||
\(98\) | 6.56243 | − | 2.43609i | 0.662906 | − | 0.246082i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.578965 | + | 4.96637i | 0.0578965 | + | 0.496637i | ||||
\(101\) | −8.61527 | + | 14.9221i | −0.857252 | + | 1.48480i | 0.0172883 | + | 0.999851i | \(0.494497\pi\) |
−0.874540 | + | 0.484953i | \(0.838837\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.19697 | − | 15.9296i | −0.906204 | − | 1.56959i | −0.819293 | − | 0.573375i | \(-0.805634\pi\) |
−0.0869114 | − | 0.996216i | \(-0.527700\pi\) | |||||||
\(104\) | −2.28203 | − | 3.95259i | −0.223771 | − | 0.387583i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.38819 | + | 5.86852i | −0.329090 | + | 0.570001i | ||||
\(107\) | 1.73454 | 0.167685 | 0.0838423 | − | 0.996479i | \(-0.473281\pi\) | ||||
0.0838423 | + | 0.996479i | \(0.473281\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.400269 | 0.0383388 | 0.0191694 | − | 0.999816i | \(-0.493898\pi\) | ||||
0.0191694 | + | 0.999816i | \(0.493898\pi\) | |||||||
\(110\) | 4.44861 | + | 13.4320i | 0.424159 | + | 1.28069i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.02132 | + | 1.70712i | −0.190997 | + | 0.161307i | ||||
\(113\) | −1.32959 | − | 2.30292i | −0.125077 | − | 0.216640i | 0.796686 | − | 0.604394i | \(-0.206585\pi\) |
−0.921763 | + | 0.387753i | \(0.873251\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.90845 | + | 1.62566i | −0.457715 | + | 0.151594i | ||||
\(116\) | − | 0.200386i | − | 0.0186054i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.23342 | −0.113545 | ||||||||
\(119\) | 2.44732 | − | 6.79134i | 0.224346 | − | 0.622561i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 14.5207 | + | 25.1507i | 1.32007 | + | 2.28642i | ||||
\(122\) | −1.66558 | + | 0.961623i | −0.150795 | + | 0.0870613i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.10971 | + | 1.21804i | 0.189458 | + | 0.109383i | ||||
\(125\) | −6.41693 | + | 9.15549i | −0.573948 | + | 0.818892i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 0.955970i | − | 0.0848287i | −0.999100 | − | 0.0424143i | \(-0.986495\pi\) | ||
0.999100 | − | 0.0424143i | \(-0.0135050\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.06525 | − | 9.99438i | 0.181134 | − | 0.876565i | ||||
\(131\) | −5.64033 | − | 9.76935i | −0.492798 | − | 0.853552i | 0.507167 | − | 0.861848i | \(-0.330693\pi\) |
−0.999966 | + | 0.00829593i | \(0.997359\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.69333 | − | 10.2490i | 0.320252 | − | 0.888702i | ||||
\(134\) | 8.16808i | 0.705615i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.72847i | 0.233964i | ||||||||
\(137\) | −0.913329 | + | 1.58193i | −0.0780310 | + | 0.135154i | −0.902400 | − | 0.430899i | \(-0.858197\pi\) |
0.824369 | + | 0.566052i | \(0.191530\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.2206 | − | 8.78760i | 1.29099 | − | 0.745355i | 0.312162 | − | 0.950029i | \(-0.398947\pi\) |
0.978830 | + | 0.204674i | \(0.0656134\pi\) | |||||||
\(140\) | −5.91407 | − | 0.154083i | −0.499830 | − | 0.0130224i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.20400 | − | 4.15923i | −0.604546 | − | 0.349035i | ||||
\(143\) | − | 28.8806i | − | 2.41512i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.297930 | − | 0.334679i | 0.0247417 | − | 0.0277936i | ||||
\(146\) | 6.97252 | − | 12.0768i | 0.577050 | − | 0.999479i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −9.06497 | + | 5.23366i | −0.745136 | + | 0.430204i | ||||
\(149\) | −5.26078 | + | 3.03731i | −0.430980 | + | 0.248826i | −0.699764 | − | 0.714374i | \(-0.746712\pi\) |
0.268784 | + | 0.963200i | \(0.413378\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.97909 | + | 15.5522i | −0.730708 | + | 1.26562i | 0.225873 | + | 0.974157i | \(0.427477\pi\) |
−0.956581 | + | 0.291467i | \(0.905857\pi\) | |||||||
\(152\) | 4.11761i | 0.333982i | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −16.4782 | + | 2.95981i | −1.32785 | + | 0.238508i | ||||
\(155\) | 1.71262 | + | 5.17102i | 0.137561 | + | 0.415347i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.74566 | + | 6.48767i | 0.298936 | + | 0.517772i | 0.975893 | − | 0.218250i | \(-0.0700349\pi\) |
−0.676957 | + | 0.736023i | \(0.736702\pi\) | |||||||
\(158\) | −1.01691 | − | 1.76135i | −0.0809013 | − | 0.140125i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.12268 | − | 0.703023i | 0.167812 | − | 0.0555788i | ||||
\(161\) | −1.08161 | − | 6.02163i | −0.0852424 | − | 0.474571i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 0.216711i | − | 0.0169741i | −0.999964 | − | 0.00848704i | \(-0.997298\pi\) | ||
0.999964 | − | 0.00848704i | \(-0.00270154\pi\) | |||||||
\(164\) | −1.03090 | + | 1.78558i | −0.0805000 | + | 0.139430i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.64421 | − | 2.10398i | 0.282845 | − | 0.163301i | ||||
\(167\) | −6.59580 | + | 3.80809i | −0.510398 | + | 0.294679i | −0.732997 | − | 0.680231i | \(-0.761879\pi\) |
0.222599 | + | 0.974910i | \(0.428546\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.91530 | + | 6.78149i | −0.301177 | + | 0.521653i | ||||
\(170\) | −4.05663 | + | 4.55702i | −0.311130 | + | 0.349507i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.38479i | 0.639334i | ||||||||
\(173\) | −6.39337 | − | 3.69121i | −0.486079 | − | 0.280638i | 0.236868 | − | 0.971542i | \(-0.423879\pi\) |
−0.722946 | + | 0.690904i | \(0.757213\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.64844 | − | 9.05028i | −0.729354 | − | 0.684137i | ||||
\(176\) | 5.48007 | − | 3.16392i | 0.413075 | − | 0.238489i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.74358 | − | 8.21613i | 0.355547 | − | 0.615825i | ||||
\(179\) | 8.41037i | 0.628620i | 0.949320 | + | 0.314310i | \(0.101773\pi\) | ||||
−0.949320 | + | 0.314310i | \(0.898227\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 19.8492i | − | 1.47538i | −0.675138 | − | 0.737691i | \(-0.735916\pi\) | ||
0.675138 | − | 0.737691i | \(-0.264084\pi\) | |||||||
\(182\) | 11.3602 | + | 4.09377i | 0.842077 | + | 0.303451i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.15619 | + | 2.00258i | 0.0852356 | + | 0.147632i | ||||
\(185\) | −22.9214 | − | 4.73649i | −1.68521 | − | 0.348234i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.63265 | + | 14.9522i | −0.631282 | + | 1.09341i | ||||
\(188\) | − | 9.07611i | − | 0.661943i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.12198 | + | 6.87712i | −0.444135 | + | 0.498919i | ||||
\(191\) | −2.20596 | − | 1.27361i | −0.159618 | − | 0.0921553i | 0.418063 | − | 0.908418i | \(-0.362709\pi\) |
−0.577681 | + | 0.816262i | \(0.696042\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.4328 | − | 11.2196i | 1.39881 | − | 0.807601i | 0.404539 | − | 0.914521i | \(-0.367432\pi\) |
0.994268 | + | 0.106920i | \(0.0340988\pi\) | |||||||
\(194\) | 2.42587 | + | 4.20173i | 0.174168 | + | 0.301667i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.17150 | − | 6.90127i | 0.0836788 | − | 0.492948i | ||||
\(197\) | −10.3672 | −0.738631 | −0.369315 | − | 0.929304i | \(-0.620408\pi\) | ||||
−0.369315 | + | 0.929304i | \(0.620408\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 11.5505i | − | 0.818791i | −0.912357 | − | 0.409395i | \(-0.865740\pi\) | ||
0.912357 | − | 0.409395i | \(-0.134260\pi\) | |||||||
\(200\) | 4.59048 | + | 1.98179i | 0.324596 | + | 0.140133i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 8.61527 | + | 14.9221i | 0.606169 | + | 1.04991i | ||||
\(203\) | 0.342082 | + | 0.405045i | 0.0240094 | + | 0.0284286i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.37655 | + | 1.44950i | −0.305671 | + | 0.101237i | ||||
\(206\) | −18.3939 | −1.28157 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.56405 | −0.316460 | ||||||||
\(209\) | −13.0278 | + | 22.5648i | −0.901150 | + | 1.56084i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.154076 | − | 0.266868i | −0.0106071 | − | 0.0183720i | 0.860673 | − | 0.509158i | \(-0.170043\pi\) |
−0.871280 | + | 0.490786i | \(0.836710\pi\) | |||||||
\(212\) | 3.38819 | + | 5.86852i | 0.232702 | + | 0.403051i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.867271 | − | 1.50216i | 0.0592854 | − | 0.102685i | ||||
\(215\) | −12.4663 | + | 14.0041i | −0.850198 | + | 0.955069i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.34375 | + | 1.13947i | −0.430642 | + | 0.0773520i | ||||
\(218\) | 0.200135 | − | 0.346643i | 0.0135548 | − | 0.0234776i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 13.8567 | + | 2.86336i | 0.934220 | + | 0.193048i | ||||
\(221\) | 10.7845 | − | 6.22644i | 0.725444 | − | 0.418835i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.0678 | − | 20.9020i | 0.808118 | − | 1.39970i | −0.106049 | − | 0.994361i | \(-0.533820\pi\) |
0.914166 | − | 0.405340i | \(-0.132847\pi\) | |||||||
\(224\) | 0.467745 | + | 2.60408i | 0.0312525 | + | 0.173992i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.65918 | −0.176886 | ||||||||
\(227\) | 8.32843 | + | 4.80842i | 0.552777 | + | 0.319146i | 0.750241 | − | 0.661164i | \(-0.229937\pi\) |
−0.197464 | + | 0.980310i | \(0.563271\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −19.7785 | + | 11.4191i | −1.30700 | + | 0.754597i | −0.981595 | − | 0.190977i | \(-0.938834\pi\) |
−0.325406 | + | 0.945574i | \(0.605501\pi\) | |||||||
\(230\) | −1.04636 | + | 5.06367i | −0.0689950 | + | 0.333888i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.173539 | − | 0.100193i | −0.0113934 | − | 0.00657799i | ||||
\(233\) | 24.1221 | 1.58029 | 0.790147 | − | 0.612918i | \(-0.210004\pi\) | ||||
0.790147 | + | 0.612918i | \(0.210004\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 13.4942 | − | 15.1587i | 0.880264 | − | 0.988844i | ||||
\(236\) | −0.616709 | + | 1.06817i | −0.0401444 | + | 0.0695321i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.65781 | − | 5.51512i | −0.301921 | − | 0.357492i | ||||
\(239\) | 13.7371 | − | 7.93114i | 0.888582 | − | 0.513023i | 0.0151034 | − | 0.999886i | \(-0.495192\pi\) |
0.873478 | + | 0.486863i | \(0.161859\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.8605 | + | 6.84765i | 0.764000 | + | 0.441096i | 0.830730 | − | 0.556675i | \(-0.187923\pi\) |
−0.0667298 | + | 0.997771i | \(0.521257\pi\) | |||||||
\(242\) | 29.0415 | 1.86686 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.92325i | 0.123123i | ||||||||
\(245\) | 12.2173 | − | 9.78456i | 0.780534 | − | 0.625113i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 16.2752 | − | 9.39649i | 1.03557 | − | 0.597884i | ||||
\(248\) | 2.10971 | − | 1.21804i | 0.133967 | − | 0.0773458i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.72042 | + | 10.1350i | 0.298546 | + | 0.640992i | ||||
\(251\) | 24.1645 | 1.52525 | 0.762624 | − | 0.646842i | \(-0.223911\pi\) | ||||
0.762624 | + | 0.646842i | \(0.223911\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 14.6324i | 0.919930i | ||||||||
\(254\) | −0.827895 | − | 0.477985i | −0.0519467 | − | 0.0299915i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 7.37439 | − | 4.25760i | 0.460002 | − | 0.265582i | −0.252043 | − | 0.967716i | \(-0.581103\pi\) |
0.712045 | + | 0.702134i | \(0.247769\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.38877 | − | 26.0539i | 0.583389 | − | 1.61891i | ||||
\(260\) | −7.62277 | − | 6.78575i | −0.472744 | − | 0.420834i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −11.2807 | −0.696922 | ||||||||
\(263\) | 9.99743 | − | 17.3161i | 0.616468 | − | 1.06775i | −0.373657 | − | 0.927567i | \(-0.621896\pi\) |
0.990125 | − | 0.140187i | \(-0.0447704\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.06633 | + | 14.8389i | −0.188363 | + | 0.911549i | ||||
\(266\) | −7.02924 | − | 8.32302i | −0.430990 | − | 0.510317i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.07376 | + | 4.08404i | 0.432099 | + | 0.249472i | ||||
\(269\) | 28.0807 | 1.71211 | 0.856055 | − | 0.516884i | \(-0.172908\pi\) | ||||
0.856055 | + | 0.516884i | \(0.172908\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.3996i | 0.692475i | 0.938147 | + | 0.346237i | \(0.112541\pi\) | ||||
−0.938147 | + | 0.346237i | \(0.887459\pi\) | |||||||
\(272\) | 2.36292 | + | 1.36423i | 0.143273 | + | 0.0827188i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.913329 | + | 1.58193i | 0.0551762 | + | 0.0955681i | ||||
\(275\) | 18.8859 | + | 25.3842i | 1.13886 | + | 1.53073i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.2040 | + | 9.93273i | 1.03369 | + | 0.596800i | 0.918039 | − | 0.396490i | \(-0.129772\pi\) |
0.115649 | + | 0.993290i | \(0.463105\pi\) | |||||||
\(278\) | − | 17.5752i | − | 1.05409i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.09048 | + | 5.04470i | −0.184691 | + | 0.301478i | ||||
\(281\) | 9.44238 | + | 5.45156i | 0.563285 | + | 0.325213i | 0.754463 | − | 0.656343i | \(-0.227897\pi\) |
−0.191178 | + | 0.981555i | \(0.561231\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.79927 | + | 8.31258i | 0.285287 | + | 0.494132i | 0.972679 | − | 0.232155i | \(-0.0745778\pi\) |
−0.687392 | + | 0.726287i | \(0.741244\pi\) | |||||||
\(284\) | −7.20400 | + | 4.15923i | −0.427479 | + | 0.246805i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −25.0113 | − | 14.4403i | −1.47895 | − | 0.853872i | ||||
\(287\) | −0.964399 | − | 5.36910i | −0.0569267 | − | 0.316928i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.55547 | 0.562086 | ||||||||
\(290\) | −0.140876 | − | 0.425354i | −0.00827251 | − | 0.0249777i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.97252 | − | 12.0768i | −0.408036 | − | 0.706739i | ||||
\(293\) | −1.70013 | + | 0.981568i | −0.0993224 | + | 0.0573438i | −0.548838 | − | 0.835928i | \(-0.684930\pi\) |
0.449516 | + | 0.893272i | \(0.351596\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.61815 | + | 0.867122i | −0.152435 | + | 0.0504858i | ||||
\(296\) | 10.4673i | 0.608401i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.07463i | 0.351894i | ||||||||
\(299\) | 5.27692 | − | 9.13990i | 0.305172 | − | 0.528574i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −14.3138 | − | 16.9484i | −0.825035 | − | 0.976888i | ||||
\(302\) | 8.97909 | + | 15.5522i | 0.516689 | + | 0.894931i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.56595 | + | 2.05880i | 0.204521 | + | 0.118080i | ||||
\(305\) | −2.85945 | + | 3.21216i | −0.163731 | + | 0.183928i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.13370 | −0.178850 | −0.0894248 | − | 0.995994i | \(-0.528503\pi\) | ||||
−0.0894248 | + | 0.995994i | \(0.528503\pi\) | |||||||
\(308\) | −5.67581 | + | 15.7504i | −0.323409 | + | 0.897463i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5.33455 | + | 1.10234i | 0.302982 | + | 0.0626085i | ||||
\(311\) | 9.01232 | + | 15.6098i | 0.511042 | + | 0.885150i | 0.999918 | + | 0.0127972i | \(0.00407359\pi\) |
−0.488876 | + | 0.872353i | \(0.662593\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.49357 | − | 4.31899i | 0.140945 | − | 0.244124i | −0.786908 | − | 0.617070i | \(-0.788319\pi\) |
0.927853 | + | 0.372947i | \(0.121653\pi\) | |||||||
\(314\) | 7.49132 | 0.422759 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.03383 | −0.114412 | ||||||||
\(317\) | −1.58024 | + | 2.73705i | −0.0887550 | + | 0.153728i | −0.906985 | − | 0.421163i | \(-0.861622\pi\) |
0.818230 | + | 0.574891i | \(0.194955\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.634004 | − | 1.09813i | −0.0354974 | − | 0.0614833i | ||||
\(320\) | 0.452503 | − | 2.18980i | 0.0252957 | − | 0.122414i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.75568 | − | 2.07412i | −0.320752 | − | 0.115586i | ||||
\(323\) | −11.2348 | −0.625119 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.64243 | − | 22.6668i | −0.146575 | − | 1.25733i | ||||
\(326\) | −0.187677 | − | 0.108355i | −0.0103945 | − | 0.00600124i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.03090 | + | 1.78558i | 0.0569221 | + | 0.0985920i | ||||
\(329\) | 15.4940 | + | 18.3458i | 0.854211 | + | 1.01143i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.7475 | − | 23.8113i | 0.755630 | − | 1.30879i | −0.189431 | − | 0.981894i | \(-0.560664\pi\) |
0.945061 | − | 0.326895i | \(-0.106002\pi\) | |||||||
\(332\) | − | 4.20797i | − | 0.230942i | ||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.61617i | 0.416739i | ||||||||
\(335\) | 5.74235 | + | 17.3382i | 0.313738 | + | 0.947287i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.95439 | − | 1.12837i | 0.106462 | − | 0.0614661i | −0.445823 | − | 0.895121i | \(-0.647089\pi\) |
0.552286 | + | 0.833655i | \(0.313756\pi\) | |||||||
\(338\) | 3.91530 | + | 6.78149i | 0.212964 | + | 0.368864i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.91817 | + | 5.79166i | 0.104028 | + | 0.314097i | ||||
\(341\) | 15.4151 | 0.834777 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.41329 | + | 15.9496i | 0.508270 | + | 0.861198i | ||||
\(344\) | 7.26144 | + | 4.19239i | 0.391511 | + | 0.226039i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.39337 | + | 3.69121i | −0.343709 | + | 0.198441i | ||||
\(347\) | −9.66391 | − | 16.7384i | −0.518786 | − | 0.898563i | −0.999762 | − | 0.0218295i | \(-0.993051\pi\) |
0.480976 | − | 0.876734i | \(-0.340282\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 25.1498 | + | 14.5202i | 1.34624 | + | 0.777250i | 0.987714 | − | 0.156271i | \(-0.0499472\pi\) |
0.358523 | + | 0.933521i | \(0.383281\pi\) | |||||||
\(350\) | −12.6620 | + | 3.83066i | −0.676812 | + | 0.204757i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 6.32783i | − | 0.337275i | ||||||
\(353\) | −18.9251 | − | 10.9264i | −1.00728 | − | 0.581554i | −0.0968865 | − | 0.995295i | \(-0.530888\pi\) |
−0.910394 | + | 0.413742i | \(0.864222\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −18.2158 | − | 3.76413i | −0.966794 | − | 0.199779i | ||||
\(356\) | −4.74358 | − | 8.21613i | −0.251409 | − | 0.435454i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.28359 | + | 4.20518i | 0.384950 | + | 0.222251i | ||||
\(359\) | 11.6743i | 0.616144i | 0.951363 | + | 0.308072i | \(0.0996838\pi\) | ||||
−0.951363 | + | 0.308072i | \(0.900316\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.04531 | 0.107648 | ||||||||
\(362\) | −17.1900 | − | 9.92462i | −0.903484 | − | 0.521627i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 9.22543 | − | 7.79137i | 0.483544 | − | 0.408379i | ||||
\(365\) | 6.31017 | − | 30.5369i | 0.330289 | − | 1.59837i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.49120 | + | 2.58283i | −0.0778398 | + | 0.134822i | −0.902318 | − | 0.431072i | \(-0.858136\pi\) |
0.824478 | + | 0.565894i | \(0.191469\pi\) | |||||||
\(368\) | 2.31238 | 0.120541 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −15.5626 | + | 17.4823i | −0.809062 | + | 0.908859i | ||||
\(371\) | −16.8669 | − | 6.07814i | −0.875685 | − | 0.315561i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.10400 | − | 2.94680i | 0.264275 | − | 0.152579i | −0.362008 | − | 0.932175i | \(-0.617909\pi\) |
0.626283 | + | 0.779596i | \(0.284575\pi\) | |||||||
\(374\) | 8.63265 | + | 14.9522i | 0.446383 | + | 0.773159i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.86014 | − | 4.53806i | −0.405356 | − | 0.234032i | ||||
\(377\) | 0.914572i | 0.0471028i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.0087 | −0.770948 | −0.385474 | − | 0.922719i | \(-0.625962\pi\) | ||||
−0.385474 | + | 0.922719i | \(0.625962\pi\) | |||||||
\(380\) | 2.89477 | + | 8.74035i | 0.148499 | + | 0.448371i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.20596 | + | 1.27361i | −0.112867 | + | 0.0651637i | ||||
\(383\) | 1.74800 | − | 1.00921i | 0.0893184 | − | 0.0515680i | −0.454676 | − | 0.890657i | \(-0.650245\pi\) |
0.543994 | + | 0.839089i | \(0.316911\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −32.8970 | + | 17.8673i | −1.67659 | + | 0.910599i | ||||
\(386\) | − | 22.4391i | − | 1.14212i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.85175 | 0.246310 | ||||||||
\(389\) | 17.3287 | + | 10.0047i | 0.878601 | + | 0.507260i | 0.870197 | − | 0.492704i | \(-0.163992\pi\) |
0.00840401 | + | 0.999965i | \(0.497325\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.46398 | + | 3.15463i | −0.276326 | + | 0.159537i | ||||
\(392\) | −5.39093 | − | 4.46519i | −0.272283 | − | 0.225526i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5.18359 | + | 8.97824i | −0.261145 | + | 0.452317i | ||||
\(395\) | −3.39685 | − | 3.02386i | −0.170914 | − | 0.152147i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.3842 | 0.772110 | 0.386055 | − | 0.922476i | \(-0.373837\pi\) | ||||
0.386055 | + | 0.922476i | \(0.373837\pi\) | |||||||
\(398\) | −10.0030 | − | 5.77523i | −0.501405 | − | 0.289486i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.01152 | − | 2.98458i | 0.200576 | − | 0.149229i | ||||
\(401\) | −5.76625 | + | 3.32914i | −0.287953 | + | 0.166250i | −0.637018 | − | 0.770849i | \(-0.719832\pi\) |
0.349066 | + | 0.937098i | \(0.386499\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −9.62884 | − | 5.55921i | −0.479647 | − | 0.276924i | ||||
\(404\) | 17.2305 | 0.857252 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.521820 | − | 0.0937294i | 0.0258975 | − | 0.00465171i | ||||
\(407\) | −33.1177 | + | 57.3616i | −1.64159 | + | 2.84331i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.3648 | + | 6.56146i | −0.561952 | + | 0.324443i | −0.753929 | − | 0.656956i | \(-0.771844\pi\) |
0.191976 | + | 0.981400i | \(0.438510\pi\) | |||||||
\(410\) | −0.932973 | + | 4.51495i | −0.0460763 | + | 0.222978i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −9.19697 | + | 15.9296i | −0.453102 | + | 0.784796i | ||||
\(413\) | −0.576925 | − | 3.21192i | −0.0283886 | − | 0.158048i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.25632 | − | 7.02804i | 0.307111 | − | 0.344993i | ||||
\(416\) | −2.28203 | + | 3.95259i | −0.111886 | + | 0.193792i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 13.0278 | + | 22.5648i | 0.637209 | + | 1.10368i | ||||
\(419\) | −13.6846 | − | 23.7023i | −0.668534 | − | 1.15794i | −0.978314 | − | 0.207127i | \(-0.933589\pi\) |
0.309780 | − | 0.950808i | \(-0.399745\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.808320 | + | 1.40005i | −0.0393951 | + | 0.0682343i | −0.885051 | − | 0.465495i | \(-0.845876\pi\) |
0.845656 | + | 0.533729i | \(0.179210\pi\) | |||||||
\(422\) | −0.308153 | −0.0150006 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.77638 | 0.329090 | ||||||||
\(425\) | −5.40724 | + | 12.5250i | −0.262290 | + | 0.607551i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.28321 | − | 3.88750i | −0.158885 | − | 0.188130i | ||||
\(428\) | −0.867271 | − | 1.50216i | −0.0419211 | − | 0.0726095i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.89470 | + | 17.7982i | 0.284268 | + | 0.858306i | ||||
\(431\) | 6.18722i | 0.298028i | 0.988835 | + | 0.149014i | \(0.0476099\pi\) | ||||
−0.988835 | + | 0.149014i | \(0.952390\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 21.5398 | 1.03514 | 0.517568 | − | 0.855642i | \(-0.326838\pi\) | ||||
0.517568 | + | 0.855642i | \(0.326838\pi\) | |||||||
\(434\) | −2.18507 | + | 6.06358i | −0.104887 | + | 0.291061i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.200135 | − | 0.346643i | −0.00958471 | − | 0.0166012i | ||||
\(437\) | −8.24585 | + | 4.76075i | −0.394453 | + | 0.227737i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.8703 | − | 7.43067i | −0.614266 | − | 0.354646i | 0.160367 | − | 0.987057i | \(-0.448732\pi\) |
−0.774633 | + | 0.632411i | \(0.782065\pi\) | |||||||
\(440\) | 9.40810 | − | 10.5686i | 0.448514 | − | 0.503838i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 12.4529i | − | 0.592323i | ||||||
\(443\) | −2.05313 | + | 3.55613i | −0.0975472 | + | 0.168957i | −0.910669 | − | 0.413137i | \(-0.864433\pi\) |
0.813122 | + | 0.582094i | \(0.197766\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.29297 | − | 20.7750i | 0.203506 | − | 0.984831i | ||||
\(446\) | −12.0678 | − | 20.9020i | −0.571425 | − | 0.989738i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.48907 | + | 0.896960i | 0.117597 | + | 0.0423774i | ||||
\(449\) | − | 23.7106i | − | 1.11897i | −0.828839 | − | 0.559487i | \(-0.810998\pi\) | ||
0.828839 | − | 0.559487i | \(-0.189002\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.0468i | 0.614348i | ||||||||
\(452\) | −1.32959 | + | 2.30292i | −0.0625387 | + | 0.108320i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 8.32843 | − | 4.80842i | 0.390872 | − | 0.225670i | ||||
\(455\) | 26.9921 | + | 0.703245i | 1.26541 | + | 0.0329686i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 19.1410 | + | 11.0510i | 0.895377 | + | 0.516946i | 0.875698 | − | 0.482860i | \(-0.160402\pi\) |
0.0196797 | + | 0.999806i | \(0.493735\pi\) | |||||||
\(458\) | 22.8383i | 1.06716i | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.86209 | + | 3.43801i | 0.180071 | + | 0.160298i | ||||
\(461\) | −9.53685 | + | 16.5183i | −0.444175 | + | 0.769334i | −0.997994 | − | 0.0633028i | \(-0.979837\pi\) |
0.553819 | + | 0.832637i | \(0.313170\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −22.9165 | + | 13.2308i | −1.06502 | + | 0.614889i | −0.926816 | − | 0.375515i | \(-0.877466\pi\) |
−0.138203 | + | 0.990404i | \(0.544133\pi\) | |||||||
\(464\) | −0.173539 | + | 0.100193i | −0.00805635 | + | 0.00465134i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 12.0611 | − | 20.8904i | 0.558718 | − | 0.967728i | ||||
\(467\) | 25.0308i | 1.15829i | 0.815225 | + | 0.579144i | \(0.196613\pi\) | ||||
−0.815225 | + | 0.579144i | \(0.803387\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −21.2703 | + | 3.82057i | −0.982171 | + | 0.176418i | ||||
\(470\) | −6.38071 | − | 19.2657i | −0.294320 | − | 0.888658i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.616709 | + | 1.06817i | 0.0283864 | + | 0.0491666i | ||||
\(473\) | 26.5288 | + | 45.9492i | 1.21979 | + | 2.11275i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.16021 | + | 18.9018i | −0.374416 | + | 0.867274i | ||||
\(476\) | −7.10514 | + | 1.27623i | −0.325663 | + | 0.0584957i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | − | 15.8623i | − | 0.725524i | ||||||
\(479\) | 3.86939 | − | 6.70198i | 0.176797 | − | 0.306221i | −0.763985 | − | 0.645234i | \(-0.776760\pi\) |
0.940782 | + | 0.339013i | \(0.110093\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 41.3730 | − | 23.8867i | 1.88645 | − | 1.08914i | ||||
\(482\) | 11.8605 | − | 6.84765i | 0.540230 | − | 0.311902i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 14.5207 | − | 25.1507i | 0.660034 | − | 1.14321i | ||||
\(485\) | 8.10326 | + | 7.21348i | 0.367950 | + | 0.327547i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.56297i | 0.252082i | 0.992025 | + | 0.126041i | \(0.0402271\pi\) | ||||
−0.992025 | + | 0.126041i | \(0.959773\pi\) | |||||||
\(488\) | 1.66558 | + | 0.961623i | 0.0753973 | + | 0.0435306i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.36503 | − | 15.4728i | −0.106841 | − | 0.698989i | ||||
\(491\) | 7.49049 | − | 4.32464i | 0.338041 | − | 0.195168i | −0.321364 | − | 0.946956i | \(-0.604141\pi\) |
0.659405 | + | 0.751788i | \(0.270808\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.273373 | − | 0.473496i | 0.0123121 | − | 0.0213252i | ||||
\(494\) | − | 18.7930i | − | 0.845536i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 2.43609i | − | 0.109383i | ||||||
\(497\) | 7.46132 | − | 20.7052i | 0.334686 | − | 0.928756i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.61871 | + | 16.6601i | 0.430592 | + | 0.745808i | 0.996924 | − | 0.0783693i | \(-0.0249713\pi\) |
−0.566332 | + | 0.824177i | \(0.691638\pi\) | |||||||
\(500\) | 11.1374 | + | 0.979477i | 0.498078 | + | 0.0438035i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.0822 | − | 20.9270i | 0.539256 | − | 0.934019i | ||||
\(503\) | − | 24.3743i | − | 1.08680i | −0.839475 | − | 0.543398i | \(-0.817137\pi\) | ||
0.839475 | − | 0.543398i | \(-0.182863\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 28.7780 | + | 25.6181i | 1.28061 | + | 1.13999i | ||||
\(506\) | 12.6720 | + | 7.31619i | 0.563340 | + | 0.325244i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.827895 | + | 0.477985i | −0.0367319 | + | 0.0212072i | ||||
\(509\) | −11.0101 | − | 19.0700i | −0.488013 | − | 0.845264i | 0.511891 | − | 0.859050i | \(-0.328945\pi\) |
−0.999905 | + | 0.0137860i | \(0.995612\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 34.7102 | + | 12.5081i | 1.53549 | + | 0.553327i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 8.51521i | − | 0.375590i | ||||||
\(515\) | −39.0444 | + | 12.9314i | −1.72050 | + | 0.569824i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −28.7161 | − | 49.7377i | −1.26293 | − | 2.18746i | ||||
\(518\) | −17.8689 | − | 21.1579i | −0.785116 | − | 0.929623i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −9.68801 | + | 3.20863i | −0.424848 | + | 0.140708i | ||||
\(521\) | −23.9844 | −1.05078 | −0.525388 | − | 0.850863i | \(-0.676080\pi\) | ||||
−0.525388 | + | 0.850863i | \(0.676080\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 23.3213 | 1.01977 | 0.509885 | − | 0.860242i | \(-0.329688\pi\) | ||||
0.509885 | + | 0.860242i | \(0.329688\pi\) | |||||||
\(524\) | −5.64033 | + | 9.76935i | −0.246399 | + | 0.426776i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.99743 | − | 17.3161i | −0.435909 | − | 0.755016i | ||||
\(527\) | 3.32339 | + | 5.75628i | 0.144769 | + | 0.250747i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.82644 | − | 15.2878i | 0.383758 | − | 0.664689i | ||||
\(530\) | 11.3177 | + | 10.0750i | 0.491611 | + | 0.437630i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −10.7226 | + | 1.92599i | −0.464882 | + | 0.0835022i | ||||
\(533\) | 4.70510 | − | 8.14947i | 0.203800 | − | 0.352993i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.784886 | − | 3.79831i | 0.0339336 | − | 0.164215i | ||||
\(536\) | 7.07376 | − | 4.08404i | 0.305540 | − | 0.176404i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 14.0404 | − | 24.3186i | 0.605323 | − | 1.04845i | ||||
\(539\) | −15.4151 | − | 41.5260i | −0.663977 | − | 1.78865i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 29.4801 | 1.26745 | 0.633723 | − | 0.773560i | \(-0.281526\pi\) | ||||
0.633723 | + | 0.773560i | \(0.281526\pi\) | |||||||
\(542\) | 9.87232 | + | 5.69979i | 0.424052 | + | 0.244827i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.36292 | − | 1.36423i | 0.101309 | − | 0.0584910i | ||||
\(545\) | 0.181123 | − | 0.876511i | 0.00775845 | − | 0.0375456i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −25.2017 | − | 14.5502i | −1.07755 | − | 0.622121i | −0.147313 | − | 0.989090i | \(-0.547062\pi\) |
−0.930233 | + | 0.366969i | \(0.880396\pi\) | |||||||
\(548\) | 1.82666 | 0.0780310 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 31.4263 | − | 3.66359i | 1.34002 | − | 0.156216i | ||||
\(551\) | 0.412555 | − | 0.714566i | 0.0175754 | − | 0.0304415i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.11102 | − | 3.47198i | 0.174819 | − | 0.147644i | ||||
\(554\) | 17.2040 | − | 9.93273i | 0.730928 | − | 0.422001i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −15.2206 | − | 8.78760i | −0.645496 | − | 0.372677i | ||||
\(557\) | 11.3404 | 0.480509 | 0.240255 | − | 0.970710i | \(-0.422769\pi\) | ||||
0.240255 | + | 0.970710i | \(0.422769\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 38.2686i | − | 1.61859i | ||||||
\(560\) | 2.82360 | + | 5.19878i | 0.119319 | + | 0.219689i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 9.44238 | − | 5.45156i | 0.398303 | − | 0.229960i | ||||
\(563\) | −12.0632 | + | 6.96467i | −0.508402 | + | 0.293526i | −0.732176 | − | 0.681115i | \(-0.761495\pi\) |
0.223775 | + | 0.974641i | \(0.428162\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.64459 | + | 1.86947i | −0.237470 | + | 0.0786490i | ||||
\(566\) | 9.59854 | 0.403457 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 8.31846i | 0.349035i | ||||||||
\(569\) | 24.0673 | + | 13.8953i | 1.00895 | + | 0.582519i | 0.910885 | − | 0.412660i | \(-0.135400\pi\) |
0.0980680 | + | 0.995180i | \(0.468734\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −17.6064 | − | 30.4952i | −0.736806 | − | 1.27619i | −0.953926 | − | 0.300041i | \(-0.903000\pi\) |
0.217120 | − | 0.976145i | \(-0.430334\pi\) | |||||||
\(572\) | −25.0113 | + | 14.4403i | −1.04578 | + | 0.603779i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.13198 | − | 1.84936i | −0.214205 | − | 0.0771907i | ||||
\(575\) | 1.33879 | + | 11.4842i | 0.0558313 | + | 0.478922i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.29407 | 0.137134 | 0.0685670 | − | 0.997647i | \(-0.478157\pi\) | ||||
0.0685670 | + | 0.997647i | \(0.478157\pi\) | |||||||
\(578\) | 4.77773 | − | 8.27528i | 0.198727 | − | 0.344206i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.438806 | − | 0.0906752i | −0.0182204 | − | 0.00376508i | ||||
\(581\) | 7.18349 | + | 8.50566i | 0.298021 | + | 0.352874i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 37.1350 | + | 21.4399i | 1.53798 | + | 0.887950i | ||||
\(584\) | −13.9450 | −0.577050 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.96314i | 0.0810964i | ||||||||
\(587\) | −24.4065 | − | 14.0911i | −1.00736 | − | 0.581602i | −0.0969457 | − | 0.995290i | \(-0.530907\pi\) |
−0.910419 | + | 0.413687i | \(0.864241\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.01542 | + | 8.68696i | 0.206657 | + | 0.357940i | ||||
\(590\) | −0.558126 | + | 2.70095i | −0.0229777 | + | 0.111196i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 9.06497 | + | 5.23366i | 0.372568 | + | 0.215102i | ||||
\(593\) | − | 36.9570i | − | 1.51764i | −0.651298 | − | 0.758822i | \(-0.725775\pi\) | ||
0.651298 | − | 0.758822i | \(-0.274225\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −13.7643 | − | 8.43226i | −0.564281 | − | 0.345689i | ||||
\(596\) | 5.26078 | + | 3.03731i | 0.215490 | + | 0.124413i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −5.27692 | − | 9.13990i | −0.215789 | − | 0.373758i | ||||
\(599\) | −31.2435 | + | 18.0385i | −1.27658 | + | 0.737032i | −0.976217 | − | 0.216794i | \(-0.930440\pi\) |
−0.300359 | + | 0.953826i | \(0.597107\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 37.1333 | + | 21.4389i | 1.51470 | + | 0.874513i | 0.999852 | + | 0.0172319i | \(0.00548535\pi\) |
0.514849 | + | 0.857281i | \(0.327848\pi\) | |||||||
\(602\) | −21.8346 | + | 3.92194i | −0.889913 | + | 0.159846i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 17.9582 | 0.730708 | ||||||||
\(605\) | 61.6457 | − | 20.4168i | 2.50625 | − | 0.830062i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.71483 | + | 16.8266i | 0.394313 | + | 0.682970i | 0.993013 | − | 0.118003i | \(-0.0376493\pi\) |
−0.598700 | + | 0.800973i | \(0.704316\pi\) | |||||||
\(608\) | 3.56595 | − | 2.05880i | 0.144618 | − | 0.0834955i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.35209 | + | 4.08243i | 0.0547444 | + | 0.165293i | ||||
\(611\) | 41.4239i | 1.67583i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 32.1273i | − | 1.29761i | −0.760955 | − | 0.648805i | \(-0.775269\pi\) | ||
0.760955 | − | 0.648805i | \(-0.224731\pi\) | |||||||
\(614\) | −1.56685 | + | 2.71386i | −0.0632329 | + | 0.109523i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 10.8024 | + | 12.7906i | 0.435239 | + | 0.515348i | ||||
\(617\) | −8.54944 | − | 14.8081i | −0.344187 | − | 0.596150i | 0.641018 | − | 0.767526i | \(-0.278512\pi\) |
−0.985206 | + | 0.171375i | \(0.945179\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 16.4455 | + | 9.49482i | 0.661001 | + | 0.381629i | 0.792658 | − | 0.609666i | \(-0.208697\pi\) |
−0.131657 | + | 0.991295i | \(0.542030\pi\) | |||||||
\(620\) | 3.62193 | − | 4.06869i | 0.145460 | − | 0.163402i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 18.0246 | 0.722722 | ||||||||
\(623\) | 23.6142 | + | 8.50960i | 0.946083 | + | 0.340930i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 17.1451 | + | 18.1947i | 0.685802 | + | 0.727788i | ||||
\(626\) | −2.49357 | − | 4.31899i | −0.0996630 | − | 0.172621i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.74566 | − | 6.48767i | 0.149468 | − | 0.258886i | ||||
\(629\) | −28.5597 | −1.13875 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −32.7042 | −1.30193 | −0.650967 | − | 0.759106i | \(-0.725636\pi\) | ||||
−0.650967 | + | 0.759106i | \(0.725636\pi\) | |||||||
\(632\) | −1.01691 | + | 1.76135i | −0.0404507 | + | 0.0700626i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.58024 | + | 2.73705i | 0.0627593 | + | 0.108702i | ||||
\(635\) | −2.09339 | − | 0.432579i | −0.0830736 | − | 0.0171664i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.34680 | + | 31.4978i | −0.211848 | + | 1.24799i | ||||
\(638\) | −1.26801 | −0.0502009 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.67017 | − | 1.48678i | −0.0660194 | − | 0.0587702i | ||||
\(641\) | 30.0032 | + | 17.3224i | 1.18506 | + | 0.684193i | 0.957179 | − | 0.289497i | \(-0.0934881\pi\) |
0.227877 | + | 0.973690i | \(0.426821\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.50753 | − | 7.80727i | −0.177760 | − | 0.307889i | 0.763353 | − | 0.645981i | \(-0.223552\pi\) |
−0.941113 | + | 0.338093i | \(0.890218\pi\) | |||||||
\(644\) | −4.67408 | + | 3.94751i | −0.184185 | + | 0.155554i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −5.61738 | + | 9.72958i | −0.221013 | + | 0.382805i | ||||
\(647\) | 19.3322i | 0.760028i | 0.924981 | + | 0.380014i | \(0.124081\pi\) | ||||
−0.924981 | + | 0.380014i | \(0.875919\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.80487i | 0.306368i | ||||||||
\(650\) | −20.9512 | − | 9.04498i | −0.821774 | − | 0.354773i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.187677 | + | 0.108355i | −0.00734999 | + | 0.00424352i | ||||
\(653\) | 0.172113 | + | 0.298108i | 0.00673529 | + | 0.0116659i | 0.869373 | − | 0.494156i | \(-0.164523\pi\) |
−0.862638 | + | 0.505822i | \(0.831189\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −23.9452 | + | 7.93057i | −0.935617 | + | 0.309873i | ||||
\(656\) | 2.06181 | 0.0805000 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 23.6349 | − | 4.24530i | 0.921384 | − | 0.165499i | ||||
\(659\) | −32.8621 | − | 18.9730i | −1.28013 | − | 0.739082i | −0.303256 | − | 0.952909i | \(-0.598074\pi\) |
−0.976871 | + | 0.213828i | \(0.931407\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −32.3820 | + | 18.6958i | −1.25952 | + | 0.727182i | −0.972980 | − | 0.230888i | \(-0.925837\pi\) |
−0.286535 | + | 0.958070i | \(0.592503\pi\) | |||||||
\(662\) | −13.7475 | − | 23.8113i | −0.534311 | − | 0.925454i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.64421 | − | 2.10398i | −0.141423 | − | 0.0816504i | ||||
\(665\) | −20.7721 | − | 12.7254i | −0.805506 | − | 0.493469i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 0.463369i | − | 0.0179417i | ||||||
\(668\) | 6.59580 | + | 3.80809i | 0.255199 | + | 0.147339i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 17.8865 | + | 3.69608i | 0.691015 | + | 0.142792i | ||||
\(671\) | 6.08499 | + | 10.5395i | 0.234909 | + | 0.406873i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.53903 | − | 4.35266i | −0.290608 | − | 0.167783i | 0.347608 | − | 0.937640i | \(-0.386994\pi\) |
−0.638216 | + | 0.769857i | \(0.720327\pi\) | |||||||
\(674\) | − | 2.25674i | − | 0.0869262i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.83059 | 0.301177 | ||||||||
\(677\) | 14.8248 | + | 8.55913i | 0.569765 | + | 0.328954i | 0.757055 | − | 0.653351i | \(-0.226637\pi\) |
−0.187291 | + | 0.982305i | \(0.559971\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −9.80695 | + | 8.28250i | −0.376356 | + | 0.317853i | ||||
\(680\) | 5.97481 | + | 1.23464i | 0.229123 | + | 0.0473463i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 7.70757 | − | 13.3499i | 0.295138 | − | 0.511194i | ||||
\(683\) | −42.3497 | −1.62046 | −0.810232 | − | 0.586109i | \(-0.800659\pi\) | ||||
−0.810232 | + | 0.586109i | \(0.800659\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.05084 | + | 2.71584i | 0.116567 | + | 0.103767i | ||||
\(686\) | 18.5194 | − | 0.177350i | 0.707074 | − | 0.00677124i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.26144 | − | 4.19239i | 0.276840 | − | 0.159834i | ||||
\(689\) | −15.4639 | − | 26.7842i | −0.589127 | − | 1.02040i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.66895 | + | 3.85032i | 0.253699 | + | 0.146473i | 0.621457 | − | 0.783449i | \(-0.286541\pi\) |
−0.367758 | + | 0.929922i | \(0.619875\pi\) | |||||||
\(692\) | 7.38242i | 0.280638i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −19.3278 | −0.733674 | ||||||||
\(695\) | −12.3558 | − | 37.3065i | −0.468681 | − | 1.41512i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.87189 | + | 2.81279i | −0.184536 | + | 0.106542i | ||||
\(698\) | 25.1498 | − | 14.5202i | 0.951933 | − | 0.549599i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.01355 | + | 12.8809i | −0.113901 | + | 0.486854i | ||||
\(701\) | 28.9809i | 1.09459i | 0.836939 | + | 0.547297i | \(0.184343\pi\) | ||||
−0.836939 | + | 0.547297i | \(0.815657\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −43.1003 | −1.62556 | ||||||||
\(704\) | −5.48007 | − | 3.16392i | −0.206538 | − | 0.119245i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −18.9251 | + | 10.9264i | −0.712255 | + | 0.411221i | ||||
\(707\) | −34.8285 | + | 29.4146i | −1.30986 | + | 1.10625i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.82844 | + | 6.63105i | −0.143780 | + | 0.249034i | −0.928917 | − | 0.370288i | \(-0.879259\pi\) |
0.785137 | + | 0.619322i | \(0.212592\pi\) | |||||||
\(710\) | −12.3677 | + | 13.8933i | −0.464153 | + | 0.521405i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −9.48716 | −0.355547 | ||||||||
\(713\) | 4.87847 | + | 2.81658i | 0.182700 | + | 0.105482i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −63.2428 | − | 13.0685i | −2.36515 | − | 0.488736i | ||||
\(716\) | 7.28359 | − | 4.20518i | 0.272201 | − | 0.157155i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 10.1102 | + | 5.83713i | 0.377310 | + | 0.217840i | ||||
\(719\) | −3.74789 | −0.139773 | −0.0698863 | − | 0.997555i | \(-0.522264\pi\) | ||||
−0.0698863 | + | 0.997555i | \(0.522264\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.60366 | − | 47.8992i | −0.320417 | − | 1.78386i | ||||
\(722\) | 1.02266 | − | 1.77129i | 0.0380593 | − | 0.0659207i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −17.1900 | + | 9.92462i | −0.638860 | + | 0.368846i | ||||
\(725\) | −0.598068 | − | 0.803851i | −0.0222117 | − | 0.0298543i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.99237 | − | 13.8432i | 0.296420 | − | 0.513415i | −0.678894 | − | 0.734236i | \(-0.737540\pi\) |
0.975314 | + | 0.220821i | \(0.0708737\pi\) | |||||||
\(728\) | −2.13481 | − | 11.8851i | −0.0791214 | − | 0.440493i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −23.2906 | − | 20.7332i | −0.862025 | − | 0.767371i | ||||
\(731\) | −11.4388 | + | 19.8126i | −0.423080 | + | 0.732796i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.2764 | − | 29.9236i | −0.638118 | − | 1.10525i | −0.985845 | − | 0.167657i | \(-0.946380\pi\) |
0.347728 | − | 0.937596i | \(-0.386953\pi\) | |||||||
\(734\) | 1.49120 | + | 2.58283i | 0.0550410 | + | 0.0953339i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.15619 | − | 2.00258i | 0.0426178 | − | 0.0738162i | ||||
\(737\) | 51.6863 | 1.90389 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.42908 | −0.0893552 | −0.0446776 | − | 0.999001i | \(-0.514226\pi\) | ||||
−0.0446776 | + | 0.999001i | \(0.514226\pi\) | |||||||
\(740\) | 7.35877 | + | 22.2187i | 0.270514 | + | 0.816777i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −13.6973 | + | 11.5681i | −0.502842 | + | 0.424677i | ||||
\(743\) | 7.44072 | + | 12.8877i | 0.272973 | + | 0.472804i | 0.969622 | − | 0.244609i | \(-0.0786595\pi\) |
−0.696648 | + | 0.717413i | \(0.745326\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.27060 | + | 12.8945i | 0.156463 | + | 0.472417i | ||||
\(746\) | − | 5.89359i | − | 0.215780i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 17.2653 | 0.631282 | ||||||||
\(749\) | 4.31740 | + | 1.55581i | 0.157754 | + | 0.0568482i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.50116 | − | 4.33213i | −0.0912685 | − | 0.158082i | 0.816777 | − | 0.576954i | \(-0.195759\pi\) |
−0.908045 | + | 0.418872i | \(0.862425\pi\) | |||||||
\(752\) | −7.86014 | + | 4.53806i | −0.286630 | + | 0.165486i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.792042 | + | 0.457286i | 0.0288445 | + | 0.0166534i | ||||
\(755\) | 29.9933 | + | 26.6999i | 1.09157 | + | 0.971708i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 23.0241i | − | 0.836826i | −0.908257 | − | 0.418413i | \(-0.862586\pi\) | ||
0.908257 | − | 0.418413i | \(-0.137414\pi\) | |||||||
\(758\) | −7.50437 | + | 12.9980i | −0.272571 | + | 0.472107i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.01675 | + | 1.86323i | 0.327072 | + | 0.0675864i | ||||
\(761\) | 10.4160 | + | 18.0411i | 0.377580 | + | 0.653988i | 0.990710 | − | 0.135994i | \(-0.0434228\pi\) |
−0.613129 | + | 0.789983i | \(0.710090\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.996297 | + | 0.359025i | 0.0360684 | + | 0.0129976i | ||||
\(764\) | 2.54722i | 0.0921553i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 2.01841i | − | 0.0729282i | ||||||
\(767\) | 2.81470 | − | 4.87520i | 0.101633 | − | 0.176033i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −24.3363 | + | 14.0506i | −0.877590 | + | 0.506677i | −0.869863 | − | 0.493293i | \(-0.835793\pi\) |
−0.00772702 | + | 0.999970i | \(0.502460\pi\) | |||||||
\(770\) | −0.975015 | + | 37.4233i | −0.0351371 | + | 1.34864i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −19.4328 | − | 11.2196i | −0.699403 | − | 0.403801i | ||||
\(773\) | − | 30.5269i | − | 1.09798i | −0.835830 | − | 0.548989i | \(-0.815013\pi\) | ||
0.835830 | − | 0.548989i | \(-0.184987\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.0985 | − | 1.41041i | 0.434591 | − | 0.0506633i | ||||
\(776\) | 2.42587 | − | 4.20173i | 0.0870838 | − | 0.150833i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 17.3287 | − | 10.0047i | 0.621265 | − | 0.358687i | ||||
\(779\) | −7.35230 | + | 4.24485i | −0.263424 | + | 0.152088i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −26.3189 | + | 45.5857i | −0.941765 | + | 1.63118i | ||||
\(782\) | 6.30927i | 0.225619i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.56243 | + | 2.43609i | −0.234373 | + | 0.0870031i | ||||
\(785\) | 15.9016 | − | 5.26657i | 0.567554 | − | 0.187972i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.7974 | + | 18.7017i | 0.384887 | + | 0.666644i | 0.991754 | − | 0.128160i | \(-0.0409071\pi\) |
−0.606867 | + | 0.794804i | \(0.707574\pi\) | |||||||
\(788\) | 5.18359 | + | 8.97824i | 0.184658 | + | 0.319837i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −4.31716 | + | 1.42983i | −0.153598 | + | 0.0508710i | ||||
\(791\) | −1.24382 | − | 6.92471i | −0.0442251 | − | 0.246215i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 8.77780i | − | 0.311709i | ||||||
\(794\) | 7.69209 | − | 13.3231i | 0.272982 | − | 0.472819i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.0030 | + | 5.77523i | −0.354547 | + | 0.204698i | ||||
\(797\) | 34.2994 | − | 19.8028i | 1.21495 | − | 0.701450i | 0.251114 | − | 0.967957i | \(-0.419203\pi\) |
0.963833 | + | 0.266507i | \(0.0858697\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 12.3819 | − | 21.4461i | 0.438041 | − | 0.758710i | ||||
\(800\) | −0.578965 | − | 4.96637i | −0.0204695 | − | 0.175588i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 6.65829i | 0.235112i | ||||||||
\(803\) | −76.4197 | − | 44.1209i | −2.69679 | − | 1.55699i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −13.6756 | − | 0.356300i | −0.482002 | − | 0.0125579i | ||||
\(806\) | −9.62884 | + | 5.55921i | −0.339161 | + | 0.195815i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.61527 | − | 14.9221i | 0.303084 | − | 0.524957i | ||||
\(809\) | 7.18884i | 0.252746i | 0.991983 | + | 0.126373i | \(0.0403337\pi\) | ||||
−0.991983 | + | 0.126373i | \(0.959666\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 0.343005i | − | 0.0120445i | −0.999982 | − | 0.00602227i | \(-0.998083\pi\) | ||
0.999982 | − | 0.00602227i | \(-0.00191696\pi\) | |||||||
\(812\) | 0.179738 | − | 0.498774i | 0.00630757 | − | 0.0175035i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 33.1177 | + | 57.3616i | 1.16078 | + | 2.01052i | ||||
\(815\) | −0.474554 | − | 0.0980622i | −0.0166229 | − | 0.00343497i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −17.2626 | + | 29.8998i | −0.603943 | + | 1.04606i | ||||
\(818\) | 13.1229i | 0.458832i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.44358 | + | 3.06545i | 0.120255 | + | 0.107050i | ||||
\(821\) | −33.2366 | − | 19.1892i | −1.15997 | − | 0.669707i | −0.208670 | − | 0.977986i | \(-0.566913\pi\) |
−0.951296 | + | 0.308279i | \(0.900247\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.0577 | + | 9.27092i | −0.559737 | + | 0.323164i | −0.753040 | − | 0.657975i | \(-0.771413\pi\) |
0.193303 | + | 0.981139i | \(0.438080\pi\) | |||||||
\(824\) | 9.19697 | + | 15.9296i | 0.320392 | + | 0.554934i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.07006 | − | 1.10633i | −0.106821 | − | 0.0384940i | ||||
\(827\) | 26.9688 | 0.937797 | 0.468899 | − | 0.883252i | \(-0.344651\pi\) | ||||
0.468899 | + | 0.883252i | \(0.344651\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.5804i | 0.436937i | 0.975844 | + | 0.218468i | \(0.0701061\pi\) | ||||
−0.975844 | + | 0.218468i | \(0.929894\pi\) | |||||||
\(830\) | −2.95830 | − | 8.93215i | −0.102684 | − | 0.310040i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.28203 | + | 3.95259i | 0.0791151 | + | 0.137031i | ||||
\(833\) | 12.1831 | − | 14.7090i | 0.422120 | − | 0.509636i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.35435 | + | 16.1667i | 0.185295 | + | 0.559471i | ||||
\(836\) | 26.0555 | 0.901150 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −27.3691 | −0.945450 | ||||||||
\(839\) | 24.8006 | − | 42.9559i | 0.856213 | − | 1.48300i | −0.0193027 | − | 0.999814i | \(-0.506145\pi\) |
0.875515 | − | 0.483190i | \(-0.160522\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.4799 | − | 25.0800i | −0.499308 | − | 0.864826i | ||||
\(842\) | 0.808320 | + | 1.40005i | 0.0278565 | + | 0.0482489i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.154076 | + | 0.266868i | −0.00530353 | + | 0.00918598i | ||||
\(845\) | 13.0785 | + | 11.6424i | 0.449912 | + | 0.400510i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.5840 | + | 75.6263i | 0.466752 | + | 2.59855i | ||||
\(848\) | 3.38819 | − | 5.86852i | 0.116351 | − | 0.201526i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 8.14333 | + | 10.9453i | 0.279314 | + | 0.375421i | ||||
\(851\) | −20.9617 | + | 12.1022i | −0.718558 | + | 0.414859i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −9.04430 | + | 15.6652i | −0.309671 | + | 0.536366i | −0.978290 | − | 0.207239i | \(-0.933552\pi\) |
0.668619 | + | 0.743605i | \(0.266886\pi\) | |||||||
\(854\) | −5.00828 | + | 0.899588i | −0.171380 | + | 0.0307833i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.73454 | −0.0592854 | ||||||||
\(857\) | 18.2726 | + | 10.5497i | 0.624179 | + | 0.360370i | 0.778494 | − | 0.627652i | \(-0.215984\pi\) |
−0.154315 | + | 0.988022i | \(0.549317\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 21.7021 | − | 12.5297i | 0.740466 | − | 0.427508i | −0.0817725 | − | 0.996651i | \(-0.526058\pi\) |
0.822239 | + | 0.569143i | \(0.192725\pi\) | |||||||
\(860\) | 18.3610 | + | 3.79414i | 0.626106 | + | 0.129379i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.35829 | + | 3.09361i | 0.182504 | + | 0.105369i | ||||
\(863\) | 36.1751 | 1.23141 | 0.615707 | − | 0.787975i | \(-0.288870\pi\) | ||||
0.615707 | + | 0.787975i | \(0.288870\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −10.9760 | + | 12.3299i | −0.373197 | + | 0.419230i | ||||
\(866\) | 10.7699 | − | 18.6540i | 0.365976 | − | 0.633889i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.15868 | + | 4.92412i | 0.141155 | + | 0.167135i | ||||
\(869\) | −11.1455 | + | 6.43486i | −0.378085 | + | 0.218288i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −32.2850 | − | 18.6398i | −1.09394 | − | 0.631585i | ||||
\(872\) | −0.400269 | −0.0135548 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 9.52149i | 0.322069i | ||||||||
\(875\) | −24.1843 | + | 17.0329i | −0.817578 | + | 0.575818i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 24.8553 | − | 14.3502i | 0.839302 | − | 0.484571i | −0.0177247 | − | 0.999843i | \(-0.505642\pi\) |
0.857027 | + | 0.515271i | \(0.172309\pi\) | |||||||
\(878\) | −12.8703 | + | 7.43067i | −0.434351 | + | 0.250773i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.44861 | − | 13.4320i | −0.149963 | − | 0.452791i | ||||
\(881\) | −13.5132 | −0.455271 | −0.227636 | − | 0.973746i | \(-0.573099\pi\) | ||||
−0.227636 | + | 0.973746i | \(0.573099\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 28.0874i | 0.945218i | 0.881272 | + | 0.472609i | \(0.156688\pi\) | ||||
−0.881272 | + | 0.472609i | \(0.843312\pi\) | |||||||
\(884\) | −10.7845 | − | 6.22644i | −0.362722 | − | 0.209418i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.05313 | + | 3.55613i | 0.0689763 | + | 0.119470i | ||||
\(887\) | 25.4215 | − | 14.6771i | 0.853569 | − | 0.492809i | −0.00828416 | − | 0.999966i | \(-0.502637\pi\) |
0.861854 | + | 0.507157i | \(0.169304\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.857467 | − | 2.37948i | 0.0287585 | − | 0.0798051i | ||||
\(890\) | −15.8452 | − | 14.1053i | −0.531133 | − | 0.472812i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −24.1355 | −0.808118 | ||||||||
\(893\) | 18.6859 | − | 32.3650i | 0.625301 | − | 1.08305i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 18.4171 | + | 3.80572i | 0.615614 | + | 0.127211i | ||||
\(896\) | 2.02132 | − | 1.70712i | 0.0675277 | − | 0.0570308i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −20.5340 | − | 11.8553i | −0.685229 | − | 0.395617i | ||||
\(899\) | −0.488157 | −0.0162809 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 18.4891i | 0.615962i | ||||||||
\(902\) | 11.2988 | + | 6.52338i | 0.376210 | + | 0.217205i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.32959 | + | 2.30292i | 0.0442215 | + | 0.0765940i | ||||
\(905\) | −43.4660 | − | 8.98184i | −1.44486 | − | 0.298567i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −39.8069 | − | 22.9825i | −1.32177 | − | 0.763122i | −0.337756 | − | 0.941234i | \(-0.609668\pi\) |
−0.984010 | + | 0.178112i | \(0.943001\pi\) | |||||||
\(908\) | − | 9.61684i | − | 0.319146i | ||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 14.1051 | − | 23.0243i | 0.467580 | − | 0.763247i | ||||
\(911\) | 11.3878 | + | 6.57475i | 0.377295 | + | 0.217831i | 0.676641 | − | 0.736314i | \(-0.263435\pi\) |
−0.299346 | + | 0.954145i | \(0.596768\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −13.3137 | − | 23.0599i | −0.440618 | − | 0.763172i | ||||
\(914\) | 19.1410 | − | 11.0510i | 0.633127 | − | 0.365536i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 19.7785 | + | 11.4191i | 0.653500 | + | 0.377299i | ||||
\(917\) | −5.27647 | − | 29.3757i | −0.174244 | − | 0.970072i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −53.8086 | −1.77498 | −0.887492 | − | 0.460824i | \(-0.847554\pi\) | ||||
−0.887492 | + | 0.460824i | \(0.847554\pi\) | |||||||
\(920\) | 4.90845 | − | 1.62566i | 0.161827 | − | 0.0535964i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 9.53685 | + | 16.5183i | 0.314079 | + | 0.544001i | ||||
\(923\) | 32.8794 | − | 18.9830i | 1.08224 | − | 0.624831i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −20.7440 | + | 48.0501i | −0.682058 | + | 1.57988i | ||||
\(926\) | 26.4617i | 0.869585i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.200386i | 0.00657799i | ||||||||
\(929\) | −25.6490 | + | 44.4253i | −0.841515 | + | 1.45755i | 0.0470989 | + | 0.998890i | \(0.485002\pi\) |
−0.888614 | + | 0.458656i | \(0.848331\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 18.3859 | − | 22.1977i | 0.602573 | − | 0.727501i | ||||
\(932\) | −12.0611 | − | 20.8904i | −0.395073 | − | 0.684287i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 21.6773 | + | 12.5154i | 0.709303 | + | 0.409516i | ||||
\(935\) | 28.8360 | + | 25.6697i | 0.943039 | + | 0.839489i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −26.4979 | −0.865650 | −0.432825 | − | 0.901478i | \(-0.642483\pi\) | ||||
−0.432825 | + | 0.901478i | \(0.642483\pi\) | |||||||
\(938\) | −7.32644 | + | 20.3309i | −0.239217 | + | 0.663828i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −19.8749 | − | 4.10697i | −0.648248 | − | 0.133954i | ||||
\(941\) | 27.4639 | + | 47.5689i | 0.895298 | + | 1.55070i | 0.833435 | + | 0.552617i | \(0.186371\pi\) |
0.0618625 | + | 0.998085i | \(0.480296\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.38384 | + | 4.12894i | −0.0776287 | + | 0.134457i | ||||
\(944\) | 1.23342 | 0.0401444 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 53.0576 | 1.72505 | ||||||||
\(947\) | −6.38577 | + | 11.0605i | −0.207510 | + | 0.359417i | −0.950929 | − | 0.309408i | \(-0.899869\pi\) |
0.743420 | + | 0.668825i | \(0.233203\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 31.8230 | + | 55.1190i | 1.03302 | + | 1.78924i | ||||
\(950\) | 12.2893 | + | 16.5179i | 0.398719 | + | 0.535910i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.44732 | + | 6.79134i | −0.0793183 | + | 0.220109i | ||||
\(953\) | −27.4326 | −0.888629 | −0.444315 | − | 0.895871i | \(-0.646553\pi\) | ||||
−0.444315 | + | 0.895871i | \(0.646553\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.78716 | + | 4.25431i | −0.122550 | + | 0.137666i | ||||
\(956\) | −13.7371 | − | 7.93114i | −0.444291 | − | 0.256511i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.86939 | − | 6.70198i | −0.125014 | − | 0.216531i | ||||
\(959\) | −3.69227 | + | 3.11832i | −0.119230 | + | 0.100696i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −12.5327 | + | 21.7073i | −0.404282 | + | 0.700237i | ||||
\(962\) | − | 47.7734i | − | 1.54028i | ||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | − | 13.6953i | − | 0.441096i | ||||||
\(965\) | −15.7752 | − | 47.6310i | −0.507822 | − | 1.53330i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.69352 | − | 2.13245i | 0.118776 | − | 0.0685751i | −0.439435 | − | 0.898274i | \(-0.644821\pi\) |
0.558211 | + | 0.829699i | \(0.311488\pi\) | |||||||
\(968\) | −14.5207 | − | 25.1507i | −0.466714 | − | 0.808373i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.2987 | − | 3.41089i | 0.330671 | − | 0.109517i | ||||
\(971\) | −21.6336 | −0.694255 | −0.347127 | − | 0.937818i | \(-0.612843\pi\) | ||||
−0.347127 | + | 0.937818i | \(0.612843\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 45.7672 | − | 8.22071i | 1.46723 | − | 0.263544i | ||||
\(974\) | 4.81767 | + | 2.78148i | 0.154368 | + | 0.0891245i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.66558 | − | 0.961623i | 0.0533139 | − | 0.0307808i | ||||
\(977\) | −20.6630 | − | 35.7893i | −0.661067 | − | 1.14500i | −0.980336 | − | 0.197337i | \(-0.936771\pi\) |
0.319269 | − | 0.947664i | \(-0.396563\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −51.9903 | − | 30.0166i | −1.66162 | − | 0.959335i | ||||
\(980\) | −14.5823 | − | 5.68821i | −0.465815 | − | 0.181703i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | − | 8.64927i | − | 0.276009i | ||||||
\(983\) | 32.8450 | + | 18.9631i | 1.04759 | + | 0.604828i | 0.921975 | − | 0.387250i | \(-0.126575\pi\) |
0.125619 | + | 0.992079i | \(0.459908\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.69118 | + | 22.7021i | −0.149473 | + | 0.723349i | ||||
\(986\) | −0.273373 | − | 0.473496i | −0.00870597 | − | 0.0150792i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −16.2752 | − | 9.39649i | −0.517783 | − | 0.298942i | ||||
\(989\) | 19.3889i | 0.616530i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −10.0234 | −0.318404 | −0.159202 | − | 0.987246i | \(-0.550892\pi\) | ||||
−0.159202 | + | 0.987246i | \(0.550892\pi\) | |||||||
\(992\) | −2.10971 | − | 1.21804i | −0.0669834 | − | 0.0386729i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −14.2006 | − | 16.8143i | −0.450415 | − | 0.533317i | ||||
\(995\) | −25.2933 | − | 5.22662i | −0.801850 | − | 0.165695i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 11.8913 | − | 20.5963i | 0.376601 | − | 0.652292i | −0.613964 | − | 0.789334i | \(-0.710426\pi\) |
0.990565 | + | 0.137042i | \(0.0437594\pi\) | |||||||
\(998\) | 19.2374 | 0.608950 | ||||||||
\(999\) | 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 | 1890.2.bf.f.629.10 | 32 | ||
3.2 | odd | 2 | 630.2.bf.e.209.5 | ✓ | 32 | ||
5.4 | even | 2 | 1890.2.bf.e.629.4 | 32 | |||
7.6 | odd | 2 | inner | 1890.2.bf.f.629.7 | 32 | ||
9.4 | even | 3 | 630.2.bf.f.419.5 | yes | 32 | ||
9.5 | odd | 6 | 1890.2.bf.e.1259.13 | 32 | |||
15.14 | odd | 2 | 630.2.bf.f.209.12 | yes | 32 | ||
21.20 | even | 2 | 630.2.bf.e.209.12 | yes | 32 | ||
35.34 | odd | 2 | 1890.2.bf.e.629.13 | 32 | |||
45.4 | even | 6 | 630.2.bf.e.419.12 | yes | 32 | ||
45.14 | odd | 6 | inner | 1890.2.bf.f.1259.7 | 32 | ||
63.13 | odd | 6 | 630.2.bf.f.419.12 | yes | 32 | ||
63.41 | even | 6 | 1890.2.bf.e.1259.4 | 32 | |||
105.104 | even | 2 | 630.2.bf.f.209.5 | yes | 32 | ||
315.104 | even | 6 | inner | 1890.2.bf.f.1259.10 | 32 | ||
315.139 | odd | 6 | 630.2.bf.e.419.5 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.bf.e.209.5 | ✓ | 32 | 3.2 | odd | 2 | ||
630.2.bf.e.209.12 | yes | 32 | 21.20 | even | 2 | ||
630.2.bf.e.419.5 | yes | 32 | 315.139 | odd | 6 | ||
630.2.bf.e.419.12 | yes | 32 | 45.4 | even | 6 | ||
630.2.bf.f.209.5 | yes | 32 | 105.104 | even | 2 | ||
630.2.bf.f.209.12 | yes | 32 | 15.14 | odd | 2 | ||
630.2.bf.f.419.5 | yes | 32 | 9.4 | even | 3 | ||
630.2.bf.f.419.12 | yes | 32 | 63.13 | odd | 6 | ||
1890.2.bf.e.629.4 | 32 | 5.4 | even | 2 | |||
1890.2.bf.e.629.13 | 32 | 35.34 | odd | 2 | |||
1890.2.bf.e.1259.4 | 32 | 63.41 | even | 6 | |||
1890.2.bf.e.1259.13 | 32 | 9.5 | odd | 6 | |||
1890.2.bf.f.629.7 | 32 | 7.6 | odd | 2 | inner | ||
1890.2.bf.f.629.10 | 32 | 1.1 | even | 1 | trivial | ||
1890.2.bf.f.1259.7 | 32 | 45.14 | odd | 6 | inner | ||
1890.2.bf.f.1259.10 | 32 | 315.104 | even | 6 | inner |