Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,3,Mod(19,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.k (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.69755461717\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 3 x^{14} - 4 x^{13} + 77 x^{12} + 88 x^{11} - 577 x^{10} + 578 x^{9} + 1520 x^{8} + 1868 x^{7} - 1619 x^{6} - 16804 x^{5} + 32427 x^{4} + 43316 x^{3} + \cdots + 83521 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 73.3 | ||
Root | \(1.60675 - 1.36085i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 99.73 |
Dual form | 99.3.k.c.19.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.184008 | − | 0.253266i | 0.0920041 | − | 0.126633i | −0.760533 | − | 0.649299i | \(-0.775062\pi\) |
0.852538 | + | 0.522666i | \(0.175062\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.20578 | + | 3.71102i | 0.301446 | + | 0.927755i | ||||
\(5\) | −5.99919 | + | 4.35866i | −1.19984 | + | 0.871733i | −0.994269 | − | 0.106910i | \(-0.965904\pi\) |
−0.205569 | + | 0.978643i | \(0.565904\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −9.53633 | + | 3.09854i | −1.36233 | + | 0.442649i | −0.896821 | − | 0.442393i | \(-0.854130\pi\) |
−0.465511 | + | 0.885042i | \(0.654130\pi\) | |||||||
\(8\) | 2.35267 | + | 0.764430i | 0.294084 | + | 0.0955538i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.32142i | 0.232142i | ||||||||
\(11\) | 10.2703 | − | 3.93969i | 0.933663 | − | 0.358153i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.00157 | − | 2.75492i | 0.153967 | − | 0.211917i | −0.725065 | − | 0.688681i | \(-0.758190\pi\) |
0.879031 | + | 0.476764i | \(0.158190\pi\) | |||||||
\(14\) | −0.970009 | + | 2.98538i | −0.0692864 | + | 0.213242i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −12.0006 | + | 8.71896i | −0.750038 | + | 0.544935i | ||||
\(17\) | 9.14407 | + | 12.5857i | 0.537886 | + | 0.740337i | 0.988307 | − | 0.152480i | \(-0.0487258\pi\) |
−0.450420 | + | 0.892817i | \(0.648726\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 29.1422 | + | 9.46888i | 1.53380 | + | 0.498362i | 0.949658 | − | 0.313289i | \(-0.101431\pi\) |
0.584142 | + | 0.811651i | \(0.301431\pi\) | |||||||
\(20\) | −23.4088 | − | 17.0075i | −1.17044 | − | 0.850375i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.892031 | − | 3.32605i | 0.0405469 | − | 0.151184i | ||||
\(23\) | −7.67868 | −0.333856 | −0.166928 | − | 0.985969i | \(-0.553385\pi\) | ||||
−0.166928 | + | 0.985969i | \(0.553385\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 9.26687 | − | 28.5205i | 0.370675 | − | 1.14082i | ||||
\(26\) | −0.329422 | − | 1.01386i | −0.0126701 | − | 0.0389944i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −22.9975 | − | 31.6533i | −0.821339 | − | 1.13048i | ||||
\(29\) | −3.21080 | + | 1.04325i | −0.110717 | + | 0.0359743i | −0.363852 | − | 0.931457i | \(-0.618539\pi\) |
0.253134 | + | 0.967431i | \(0.418539\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.27045 | + | 2.37612i | 0.105498 | + | 0.0766490i | 0.639284 | − | 0.768971i | \(-0.279231\pi\) |
−0.533785 | + | 0.845620i | \(0.679231\pi\) | |||||||
\(32\) | 14.5387i | 0.454334i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.87012 | 0.143239 | ||||||||
\(35\) | 43.7047 | − | 60.1544i | 1.24871 | − | 1.71870i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.734229 | − | 2.25972i | −0.0198440 | − | 0.0610736i | 0.940644 | − | 0.339394i | \(-0.110222\pi\) |
−0.960488 | + | 0.278321i | \(0.910222\pi\) | |||||||
\(38\) | 7.76055 | − | 5.63837i | 0.204225 | − | 0.148378i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −17.4460 | + | 5.66856i | −0.436151 | + | 0.141714i | ||||
\(41\) | −6.69014 | − | 2.17376i | −0.163174 | − | 0.0530185i | 0.226291 | − | 0.974060i | \(-0.427340\pi\) |
−0.389465 | + | 0.921041i | \(0.627340\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 3.99630i | − | 0.0929371i | −0.998920 | − | 0.0464686i | \(-0.985203\pi\) | ||
0.998920 | − | 0.0464686i | \(-0.0147967\pi\) | |||||||
\(44\) | 27.0040 | + | 33.3628i | 0.613727 | + | 0.758247i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.41294 | + | 1.94475i | −0.0307161 | + | 0.0422771i | ||||
\(47\) | −15.2775 | + | 47.0193i | −0.325053 | + | 1.00041i | 0.646363 | + | 0.763030i | \(0.276289\pi\) |
−0.971417 | + | 0.237381i | \(0.923711\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 41.6988 | − | 30.2959i | 0.850995 | − | 0.618284i | ||||
\(50\) | −5.51808 | − | 7.59498i | −0.110362 | − | 0.151900i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 12.6370 | + | 4.10601i | 0.243020 | + | 0.0789618i | ||||
\(53\) | −48.3260 | − | 35.1109i | −0.911812 | − | 0.662470i | 0.0296603 | − | 0.999560i | \(-0.490557\pi\) |
−0.941473 | + | 0.337090i | \(0.890557\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −44.4416 | + | 68.3997i | −0.808030 | + | 1.24363i | ||||
\(56\) | −24.8045 | −0.442937 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.326594 | + | 1.00515i | −0.00563093 | + | 0.0173302i | ||||
\(59\) | 3.39858 | + | 10.4597i | 0.0576030 | + | 0.177284i | 0.975718 | − | 0.219030i | \(-0.0702892\pi\) |
−0.918115 | + | 0.396314i | \(0.870289\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 43.6783 | + | 60.1180i | 0.716038 | + | 0.985541i | 0.999646 | + | 0.0266011i | \(0.00846840\pi\) |
−0.283608 | + | 0.958940i | \(0.591532\pi\) | |||||||
\(62\) | 1.20358 | − | 0.391067i | 0.0194126 | − | 0.00630752i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −44.3203 | − | 32.2006i | −0.692505 | − | 0.503134i | ||||
\(65\) | 25.2514i | 0.388484i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.22579 | −0.0481461 | −0.0240730 | − | 0.999710i | \(-0.507663\pi\) | ||||
−0.0240730 | + | 0.999710i | \(0.507663\pi\) | |||||||
\(68\) | −35.6801 | + | 49.1095i | −0.524708 | + | 0.722198i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −7.19301 | − | 22.1378i | −0.102757 | − | 0.316254i | ||||
\(71\) | 94.5613 | − | 68.7028i | 1.33185 | − | 0.967645i | 0.332147 | − | 0.943228i | \(-0.392227\pi\) |
0.999702 | − | 0.0244174i | \(-0.00777307\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 17.8062 | − | 5.78557i | 0.243920 | − | 0.0792544i | −0.184506 | − | 0.982831i | \(-0.559068\pi\) |
0.428426 | + | 0.903577i | \(0.359068\pi\) | |||||||
\(74\) | −0.707415 | − | 0.229853i | −0.00955966 | − | 0.00310612i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 119.565i | 1.57322i | ||||||||
\(77\) | −85.7336 | + | 69.3931i | −1.11342 | + | 0.901208i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.06629 | + | 2.84401i | −0.0261556 | + | 0.0360001i | −0.821895 | − | 0.569640i | \(-0.807083\pi\) |
0.795739 | + | 0.605640i | \(0.207083\pi\) | |||||||
\(80\) | 33.9909 | − | 104.613i | 0.424887 | − | 1.30767i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.78158 | + | 1.29439i | −0.0217266 | + | 0.0157853i | ||||
\(83\) | 86.4628 | + | 119.006i | 1.04172 | + | 1.43380i | 0.895773 | + | 0.444513i | \(0.146623\pi\) |
0.145948 | + | 0.989292i | \(0.453377\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −109.714 | − | 35.6482i | −1.29075 | − | 0.419391i | ||||
\(86\) | −1.01212 | − | 0.735351i | −0.0117689 | − | 0.00855060i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 27.1743 | − | 1.41788i | 0.308798 | − | 0.0161122i | ||||
\(89\) | 65.8879 | 0.740313 | 0.370156 | − | 0.928969i | \(-0.379304\pi\) | ||||
0.370156 | + | 0.928969i | \(0.379304\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.5514 | + | 32.4737i | −0.115949 | + | 0.356854i | ||||
\(92\) | −9.25883 | − | 28.4957i | −0.100639 | − | 0.309736i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.09719 | + | 12.5212i | 0.0967786 | + | 0.133204i | ||||
\(95\) | −216.101 | + | 70.2155i | −2.27475 | + | 0.739111i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −52.4543 | − | 38.1103i | −0.540766 | − | 0.392890i | 0.283603 | − | 0.958942i | \(-0.408470\pi\) |
−0.824369 | + | 0.566052i | \(0.808470\pi\) | |||||||
\(98\) | − | 16.1356i | − | 0.164649i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 117.014 | 1.17014 | ||||||||
\(101\) | 65.7950 | − | 90.5591i | 0.651436 | − | 0.896625i | −0.347724 | − | 0.937597i | \(-0.613046\pi\) |
0.999160 | + | 0.0409723i | \(0.0130455\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.871094 | − | 2.68095i | −0.00845722 | − | 0.0260287i | 0.946739 | − | 0.322002i | \(-0.104356\pi\) |
−0.955196 | + | 0.295974i | \(0.904356\pi\) | |||||||
\(104\) | 6.81498 | − | 4.95137i | 0.0655286 | − | 0.0476093i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −17.7848 | + | 5.77863i | −0.167781 | + | 0.0545153i | ||||
\(107\) | 34.7358 | + | 11.2863i | 0.324634 | + | 0.105480i | 0.466800 | − | 0.884363i | \(-0.345407\pi\) |
−0.142166 | + | 0.989843i | \(0.545407\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 185.532i | − | 1.70213i | −0.525061 | − | 0.851064i | \(-0.675958\pi\) | ||
0.525061 | − | 0.851064i | \(-0.324042\pi\) | |||||||
\(110\) | 9.14566 | + | 23.8416i | 0.0831423 | + | 0.216742i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 87.4258 | − | 120.331i | 0.780587 | − | 1.07439i | ||||
\(113\) | 56.9948 | − | 175.412i | 0.504378 | − | 1.55232i | −0.297435 | − | 0.954742i | \(-0.596131\pi\) |
0.801813 | − | 0.597575i | \(-0.203869\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 46.0658 | − | 33.4688i | 0.400573 | − | 0.291033i | ||||
\(116\) | −7.74307 | − | 10.6574i | −0.0667506 | − | 0.0918743i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.27446 | + | 1.06394i | 0.0277497 | + | 0.00901641i | ||||
\(119\) | −126.198 | − | 91.6884i | −1.06049 | − | 0.770491i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 89.9578 | − | 80.9234i | 0.743453 | − | 0.668789i | ||||
\(122\) | 23.2630 | 0.190680 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.87438 | + | 15.0018i | −0.0393095 | + | 0.120982i | ||||
\(125\) | 11.4304 | + | 35.1792i | 0.0914432 | + | 0.281433i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 113.643 | + | 156.417i | 0.894830 | + | 1.23163i | 0.972088 | + | 0.234617i | \(0.0753837\pi\) |
−0.0772574 | + | 0.997011i | \(0.524616\pi\) | |||||||
\(128\) | −71.6191 | + | 23.2705i | −0.559524 | + | 0.181800i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.39532 | + | 4.64647i | 0.0491948 | + | 0.0357421i | ||||
\(131\) | 168.561i | 1.28673i | 0.765562 | + | 0.643363i | \(0.222461\pi\) | ||||
−0.765562 | + | 0.643363i | \(0.777539\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −307.249 | −2.31015 | ||||||||
\(134\) | −0.593572 | + | 0.816981i | −0.00442964 | + | 0.00609687i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 11.8921 | + | 36.6001i | 0.0874419 | + | 0.269119i | ||||
\(137\) | −0.0117400 | + | 0.00852964i | −8.56938e−5 | + | 6.22602e-5i | −0.587828 | − | 0.808986i | \(-0.700017\pi\) |
0.587742 | + | 0.809048i | \(0.300017\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −112.600 | + | 36.5860i | −0.810072 | + | 0.263208i | −0.684628 | − | 0.728892i | \(-0.740035\pi\) |
−0.125444 | + | 0.992101i | \(0.540035\pi\) | |||||||
\(140\) | 275.933 | + | 89.6559i | 1.97095 | + | 0.640399i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 36.5910i | − | 0.257683i | ||||||
\(143\) | 9.70315 | − | 36.1794i | 0.0678542 | − | 0.253003i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 14.7150 | − | 20.2535i | 0.101483 | − | 0.139679i | ||||
\(146\) | 1.81119 | − | 5.57428i | 0.0124054 | − | 0.0381800i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.50056 | − | 5.44948i | 0.0506795 | − | 0.0368208i | ||||
\(149\) | −107.221 | − | 147.577i | −0.719604 | − | 0.990449i | −0.999537 | − | 0.0304299i | \(-0.990312\pi\) |
0.279933 | − | 0.960019i | \(-0.409688\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 162.559 | + | 52.8185i | 1.07655 | + | 0.349791i | 0.793034 | − | 0.609177i | \(-0.208500\pi\) |
0.283513 | + | 0.958968i | \(0.408500\pi\) | |||||||
\(152\) | 61.3238 | + | 44.5544i | 0.403446 | + | 0.293121i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.79919 | + | 34.4823i | 0.0116830 | + | 0.223911i | ||||
\(155\) | −29.9767 | −0.193398 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.53748 | + | 26.2757i | −0.0543789 | + | 0.167361i | −0.974557 | − | 0.224138i | \(-0.928043\pi\) |
0.920179 | + | 0.391499i | \(0.128043\pi\) | |||||||
\(158\) | 0.340074 | + | 1.04664i | 0.00215237 | + | 0.00662431i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −63.3693 | − | 87.2204i | −0.396058 | − | 0.545127i | ||||
\(161\) | 73.2264 | − | 23.7927i | 0.454823 | − | 0.147781i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −167.276 | − | 121.533i | −1.02623 | − | 0.745600i | −0.0586796 | − | 0.998277i | \(-0.518689\pi\) |
−0.967551 | + | 0.252677i | \(0.918689\pi\) | |||||||
\(164\) | − | 27.4483i | − | 0.167368i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 46.0499 | 0.277409 | ||||||||
\(167\) | 37.5103 | − | 51.6285i | 0.224612 | − | 0.309153i | −0.681806 | − | 0.731533i | \(-0.738805\pi\) |
0.906419 | + | 0.422380i | \(0.138805\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 48.6406 | + | 149.700i | 0.287814 | + | 0.885800i | ||||
\(170\) | −29.2167 | + | 21.2272i | −0.171863 | + | 0.124866i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 14.8303 | − | 4.81867i | 0.0862229 | − | 0.0280155i | ||||
\(173\) | −215.709 | − | 70.0882i | −1.24688 | − | 0.405134i | −0.390075 | − | 0.920783i | \(-0.627551\pi\) |
−0.856800 | + | 0.515649i | \(0.827551\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 300.694i | 1.71825i | ||||||||
\(176\) | −88.8998 | + | 136.825i | −0.505113 | + | 0.777414i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 12.1239 | − | 16.6871i | 0.0681119 | − | 0.0937479i | ||||
\(179\) | −87.6693 | + | 269.818i | −0.489773 | + | 1.50737i | 0.335175 | + | 0.942156i | \(0.391205\pi\) |
−0.824947 | + | 0.565209i | \(0.808795\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −109.042 | + | 79.2238i | −0.602443 | + | 0.437700i | −0.846745 | − | 0.531999i | \(-0.821441\pi\) |
0.244302 | + | 0.969699i | \(0.421441\pi\) | |||||||
\(182\) | 6.28295 | + | 8.64773i | 0.0345217 | + | 0.0475150i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −18.0654 | − | 5.86982i | −0.0981817 | − | 0.0319012i | ||||
\(185\) | 14.2542 | + | 10.3563i | 0.0770495 | + | 0.0559797i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 143.496 | + | 93.2344i | 0.767359 | + | 0.498580i | ||||
\(188\) | −192.911 | −1.02612 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −21.9812 | + | 67.6512i | −0.115691 | + | 0.356059i | ||||
\(191\) | 30.7925 | + | 94.7695i | 0.161217 | + | 0.496175i | 0.998738 | − | 0.0502306i | \(-0.0159956\pi\) |
−0.837521 | + | 0.546406i | \(0.815996\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −123.902 | − | 170.537i | −0.641981 | − | 0.883611i | 0.356738 | − | 0.934204i | \(-0.383889\pi\) |
−0.998719 | + | 0.0505933i | \(0.983889\pi\) | |||||||
\(194\) | −19.3041 | + | 6.27227i | −0.0995054 | + | 0.0323313i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 162.709 | + | 118.215i | 0.830145 | + | 0.603136i | ||||
\(197\) | 51.1334i | 0.259561i | 0.991543 | + | 0.129780i | \(0.0414272\pi\) | ||||
−0.991543 | + | 0.129780i | \(0.958573\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 77.3567 | 0.388727 | 0.194364 | − | 0.980930i | \(-0.437736\pi\) | ||||
0.194364 | + | 0.980930i | \(0.437736\pi\) | |||||||
\(200\) | 43.6038 | − | 60.0155i | 0.218019 | − | 0.300078i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −10.8287 | − | 33.3272i | −0.0536073 | − | 0.164986i | ||||
\(203\) | 27.3867 | − | 19.8976i | 0.134910 | − | 0.0980178i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 49.6101 | − | 16.1193i | 0.242000 | − | 0.0786307i | ||||
\(206\) | −0.839281 | − | 0.272699i | −0.00407418 | − | 0.00132378i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 50.5123i | 0.242848i | ||||||||
\(209\) | 336.603 | − | 17.5630i | 1.61054 | − | 0.0840335i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.82171 | + | 3.88375i | −0.0133730 | + | 0.0184064i | −0.815651 | − | 0.578544i | \(-0.803621\pi\) |
0.802278 | + | 0.596950i | \(0.203621\pi\) | |||||||
\(212\) | 72.0266 | − | 221.675i | 0.339748 | − | 1.04564i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 9.25012 | − | 6.72060i | 0.0432248 | − | 0.0314047i | ||||
\(215\) | 17.4185 | + | 23.9745i | 0.0810163 | + | 0.111509i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −38.5506 | − | 12.5258i | −0.177652 | − | 0.0577228i | ||||
\(218\) | −46.9889 | − | 34.1394i | −0.215545 | − | 0.156603i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −307.420 | − | 82.4486i | −1.39736 | − | 0.374766i | ||||
\(221\) | 52.9751 | 0.239706 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 77.4813 | − | 238.463i | 0.347450 | − | 1.06934i | −0.612810 | − | 0.790231i | \(-0.709961\pi\) |
0.960259 | − | 0.279110i | \(-0.0900393\pi\) | |||||||
\(224\) | −45.0487 | − | 138.646i | −0.201110 | − | 0.618954i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −33.9383 | − | 46.7120i | −0.150169 | − | 0.206690i | ||||
\(227\) | 325.217 | − | 105.670i | 1.43268 | − | 0.465504i | 0.513070 | − | 0.858347i | \(-0.328508\pi\) |
0.919606 | + | 0.392842i | \(0.128508\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 187.148 | + | 135.971i | 0.817239 | + | 0.593759i | 0.915920 | − | 0.401360i | \(-0.131462\pi\) |
−0.0986813 | + | 0.995119i | \(0.531462\pi\) | |||||||
\(230\) | − | 17.8254i | − | 0.0775019i | ||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.35147 | −0.0359977 | ||||||||
\(233\) | −50.1968 | + | 69.0899i | −0.215437 | + | 0.296523i | −0.903034 | − | 0.429569i | \(-0.858665\pi\) |
0.687597 | + | 0.726092i | \(0.258665\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −113.289 | − | 348.667i | −0.482080 | − | 1.48369i | ||||
\(236\) | −34.7184 | + | 25.2244i | −0.147112 | + | 0.106883i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −46.4430 | + | 15.0903i | −0.195139 | + | 0.0634045i | ||||
\(239\) | −11.2512 | − | 3.65574i | −0.0470763 | − | 0.0152960i | 0.285384 | − | 0.958413i | \(-0.407879\pi\) |
−0.332460 | + | 0.943117i | \(0.607879\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 236.527i | − | 0.981438i | −0.871318 | − | 0.490719i | \(-0.836734\pi\) | ||
0.871318 | − | 0.490719i | \(-0.163266\pi\) | |||||||
\(242\) | −3.94216 | − | 37.6738i | −0.0162899 | − | 0.155677i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −170.433 | + | 234.580i | −0.698494 | + | 0.961395i | ||||
\(245\) | −118.109 | + | 363.502i | −0.482077 | + | 1.48368i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 84.4160 | − | 61.3318i | 0.341765 | − | 0.248307i | ||||
\(248\) | 5.87792 | + | 8.09027i | 0.0237013 | + | 0.0326220i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.0130 | + | 3.57833i | 0.0440519 | + | 0.0143133i | ||||
\(251\) | −202.797 | − | 147.341i | −0.807957 | − | 0.587015i | 0.105281 | − | 0.994443i | \(-0.466426\pi\) |
−0.913238 | + | 0.407427i | \(0.866426\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −78.8623 | + | 30.2516i | −0.311709 | + | 0.119572i | ||||
\(254\) | 60.5263 | 0.238293 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 60.4305 | − | 185.986i | 0.236057 | − | 0.726508i | ||||
\(257\) | −80.6325 | − | 248.161i | −0.313745 | − | 0.965608i | −0.976268 | − | 0.216566i | \(-0.930514\pi\) |
0.662523 | − | 0.749042i | \(-0.269486\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 14.0037 | + | 19.2744i | 0.0540683 | + | 0.0744187i | ||||
\(260\) | −93.7086 | + | 30.4478i | −0.360418 | + | 0.117107i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 42.6907 | + | 31.0166i | 0.162942 | + | 0.118384i | ||||
\(263\) | − | 243.396i | − | 0.925459i | −0.886499 | − | 0.462730i | \(-0.846870\pi\) | ||
0.886499 | − | 0.462730i | \(-0.153130\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 442.954 | 1.67152 | ||||||||
\(266\) | −56.5364 | + | 77.8157i | −0.212543 | + | 0.292540i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.88960 | − | 11.9710i | −0.0145134 | − | 0.0446678i | ||||
\(269\) | −210.842 | + | 153.186i | −0.783801 | + | 0.569465i | −0.906117 | − | 0.423026i | \(-0.860968\pi\) |
0.122316 | + | 0.992491i | \(0.460968\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 417.271 | − | 135.579i | 1.53974 | − | 0.500293i | 0.588439 | − | 0.808542i | \(-0.299743\pi\) |
0.951306 | + | 0.308249i | \(0.0997428\pi\) | |||||||
\(272\) | −219.469 | − | 71.3098i | −0.806871 | − | 0.262168i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.00454288i | 1.65798e-5i | ||||||||
\(275\) | −17.1883 | − | 329.422i | −0.0625030 | − | 1.19790i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −118.892 | + | 163.641i | −0.429212 | + | 0.590760i | −0.967772 | − | 0.251827i | \(-0.918969\pi\) |
0.538560 | + | 0.842587i | \(0.318969\pi\) | |||||||
\(278\) | −11.4534 | + | 35.2498i | −0.0411992 | + | 0.126798i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 148.807 | − | 108.114i | 0.531453 | − | 0.386123i | ||||
\(281\) | 253.750 | + | 349.257i | 0.903026 | + | 1.24291i | 0.969493 | + | 0.245120i | \(0.0788273\pi\) |
−0.0664668 | + | 0.997789i | \(0.521173\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −149.806 | − | 48.6750i | −0.529350 | − | 0.171996i | 0.0321343 | − | 0.999484i | \(-0.489770\pi\) |
−0.561485 | + | 0.827487i | \(0.689770\pi\) | |||||||
\(284\) | 368.978 | + | 268.078i | 1.29922 | + | 0.943937i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.37753 | − | 9.11477i | −0.0257956 | − | 0.0318698i | ||||
\(287\) | 70.5348 | 0.245766 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.5193 | − | 44.6857i | 0.0502397 | − | 0.154622i | ||||
\(290\) | −2.42183 | − | 7.45362i | −0.00835113 | − | 0.0257021i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 42.9408 | + | 59.1029i | 0.147057 | + | 0.202407i | ||||
\(293\) | 424.925 | − | 138.067i | 1.45026 | − | 0.471217i | 0.525178 | − | 0.850992i | \(-0.323999\pi\) |
0.925079 | + | 0.379775i | \(0.123999\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −65.9792 | − | 47.9367i | −0.223658 | − | 0.162497i | ||||
\(296\) | − | 5.87766i | − | 0.0198570i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −57.1057 | −0.191630 | ||||||||
\(299\) | −15.3694 | + | 21.1541i | −0.0514026 | + | 0.0707496i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.3827 | + | 38.1100i | 0.0411385 | + | 0.126611i | ||||
\(302\) | 43.2892 | − | 31.4515i | 0.143342 | − | 0.104144i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −432.283 | + | 140.457i | −1.42198 | + | 0.462031i | ||||
\(305\) | −524.069 | − | 170.280i | −1.71826 | − | 0.558296i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 374.322i | 1.21929i | 0.792674 | + | 0.609645i | \(0.208688\pi\) | ||||
−0.792674 | + | 0.609645i | \(0.791312\pi\) | |||||||
\(308\) | −360.895 | − | 234.486i | −1.17174 | − | 0.761318i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.51597 | + | 7.59208i | −0.0177934 | + | 0.0244906i | ||||
\(311\) | −28.4307 | + | 87.5008i | −0.0914172 | + | 0.281353i | −0.986303 | − | 0.164941i | \(-0.947257\pi\) |
0.894886 | + | 0.446294i | \(0.147257\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −392.333 | + | 285.047i | −1.25346 | + | 0.910693i | −0.998417 | − | 0.0562368i | \(-0.982090\pi\) |
−0.255044 | + | 0.966930i | \(0.582090\pi\) | |||||||
\(314\) | 5.08376 | + | 6.99719i | 0.0161903 | + | 0.0222840i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −13.0457 | − | 4.23879i | −0.0412838 | − | 0.0134139i | ||||
\(317\) | 338.480 | + | 245.920i | 1.06776 | + | 0.775774i | 0.975509 | − | 0.219961i | \(-0.0705932\pi\) |
0.0922530 | + | 0.995736i | \(0.470593\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −28.8658 | + | 23.3641i | −0.0904884 | + | 0.0732416i | ||||
\(320\) | 406.237 | 1.26949 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.44839 | − | 22.9238i | 0.0231317 | − | 0.0711919i | ||||
\(323\) | 147.306 | + | 453.360i | 0.456054 | + | 1.40359i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −60.0234 | − | 82.6151i | −0.184687 | − | 0.254200i | ||||
\(326\) | −61.5602 | + | 20.0021i | −0.188835 | + | 0.0613562i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −14.0780 | − | 10.2283i | −0.0429208 | − | 0.0311838i | ||||
\(329\) | − | 495.730i | − | 1.50678i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −232.490 | −0.702387 | −0.351194 | − | 0.936303i | \(-0.614224\pi\) | ||||
−0.351194 | + | 0.936303i | \(0.614224\pi\) | |||||||
\(332\) | −337.378 | + | 464.360i | −1.01620 | + | 1.39868i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −6.17352 | − | 19.0001i | −0.0184836 | − | 0.0568866i | ||||
\(335\) | 19.3521 | − | 14.0601i | 0.0577675 | − | 0.0419705i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 143.609 | − | 46.6615i | 0.426141 | − | 0.138461i | −0.0880918 | − | 0.996112i | \(-0.528077\pi\) |
0.514232 | + | 0.857651i | \(0.328077\pi\) | |||||||
\(338\) | 46.8642 | + | 15.2271i | 0.138651 | + | 0.0450506i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | − | 450.135i | − | 1.32393i | ||||||
\(341\) | 42.9496 | + | 11.5189i | 0.125952 | + | 0.0337798i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.9850 | + | 20.6251i | −0.0436881 | + | 0.0601315i | ||||
\(344\) | 3.05489 | − | 9.40198i | 0.00888049 | − | 0.0273313i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −57.4433 | + | 41.7350i | −0.166021 | + | 0.120621i | ||||
\(347\) | −154.449 | − | 212.581i | −0.445099 | − | 0.612626i | 0.526237 | − | 0.850338i | \(-0.323603\pi\) |
−0.971336 | + | 0.237712i | \(0.923603\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 418.176 | + | 135.874i | 1.19821 | + | 0.389323i | 0.839103 | − | 0.543973i | \(-0.183081\pi\) |
0.359109 | + | 0.933295i | \(0.383081\pi\) | |||||||
\(350\) | 76.1556 | + | 55.3303i | 0.217587 | + | 0.158086i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 57.2779 | + | 149.317i | 0.162721 | + | 0.424195i | ||||
\(353\) | −479.476 | −1.35829 | −0.679145 | − | 0.734005i | \(-0.737649\pi\) | ||||
−0.679145 | + | 0.734005i | \(0.737649\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −267.838 | + | 824.322i | −0.754474 | + | 2.32203i | ||||
\(356\) | 79.4465 | + | 244.511i | 0.223164 | + | 0.686829i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 52.2039 | + | 71.8524i | 0.145821 | + | 0.200705i | ||||
\(359\) | −199.027 | + | 64.6679i | −0.554394 | + | 0.180133i | −0.572797 | − | 0.819697i | \(-0.694142\pi\) |
0.0184033 | + | 0.999831i | \(0.494142\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 467.553 | + | 339.697i | 1.29516 | + | 0.940990i | ||||
\(362\) | 42.1945i | 0.116559i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −133.233 | −0.366026 | ||||||||
\(365\) | −81.6052 | + | 112.320i | −0.223576 | + | 0.307726i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 121.788 | + | 374.824i | 0.331846 | + | 1.02132i | 0.968255 | + | 0.249966i | \(0.0804194\pi\) |
−0.636408 | + | 0.771352i | \(0.719581\pi\) | |||||||
\(368\) | 92.1489 | − | 66.9501i | 0.250405 | − | 0.181930i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 5.24576 | − | 1.70445i | 0.0141777 | − | 0.00460663i | ||||
\(371\) | 569.646 | + | 185.089i | 1.53543 | + | 0.498892i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 497.797i | − | 1.33458i | −0.744800 | − | 0.667288i | \(-0.767455\pi\) | ||
0.744800 | − | 0.667288i | \(-0.232545\pi\) | |||||||
\(374\) | 50.0175 | − | 19.1867i | 0.133737 | − | 0.0513014i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −71.8860 | + | 98.9425i | −0.191186 | + | 0.263145i | ||||
\(377\) | −3.55256 | + | 10.9336i | −0.00942323 | + | 0.0290017i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 253.529 | − | 184.200i | 0.668942 | − | 0.486015i | −0.200729 | − | 0.979647i | \(-0.564331\pi\) |
0.869671 | + | 0.493632i | \(0.164331\pi\) | |||||||
\(380\) | −521.143 | − | 717.291i | −1.37143 | − | 1.88761i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 29.6679 | + | 9.63969i | 0.0776647 | + | 0.0252348i | ||||
\(383\) | 218.032 | + | 158.410i | 0.569275 | + | 0.413603i | 0.834842 | − | 0.550490i | \(-0.185559\pi\) |
−0.265567 | + | 0.964093i | \(0.585559\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 211.871 | − | 789.986i | 0.550314 | − | 2.05191i | ||||
\(386\) | −65.9902 | −0.170959 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 78.1795 | − | 240.612i | 0.201494 | − | 0.620133i | ||||
\(389\) | −71.6009 | − | 220.365i | −0.184064 | − | 0.566491i | 0.815867 | − | 0.578240i | \(-0.196260\pi\) |
−0.999931 | + | 0.0117488i | \(0.996260\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −70.2144 | − | 96.6418i | −0.179576 | − | 0.247166i | ||||
\(392\) | 121.263 | − | 39.4007i | 0.309344 | − | 0.100512i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 12.9503 | + | 9.40898i | 0.0328689 | + | 0.0238807i | ||||
\(395\) | − | 26.0680i | − | 0.0659950i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −256.488 | −0.646065 | −0.323033 | − | 0.946388i | \(-0.604702\pi\) | ||||
−0.323033 | + | 0.946388i | \(0.604702\pi\) | |||||||
\(398\) | 14.2343 | − | 19.5918i | 0.0357645 | − | 0.0492256i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 137.461 | + | 423.061i | 0.343652 | + | 1.05765i | ||||
\(401\) | −249.122 | + | 180.998i | −0.621252 | + | 0.451366i | −0.853359 | − | 0.521324i | \(-0.825438\pi\) |
0.232106 | + | 0.972690i | \(0.425438\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 13.0920 | − | 4.25386i | 0.0324864 | − | 0.0105555i | ||||
\(404\) | 415.401 | + | 134.972i | 1.02822 | + | 0.334089i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 10.5974i | − | 0.0261021i | ||||||
\(407\) | −16.4433 | − | 20.3154i | −0.0404013 | − | 0.0499150i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 253.972 | − | 349.562i | 0.620958 | − | 0.854676i | −0.376464 | − | 0.926431i | \(-0.622860\pi\) |
0.997422 | + | 0.0717555i | \(0.0228601\pi\) | |||||||
\(410\) | 5.04620 | − | 15.5306i | 0.0123078 | − | 0.0378795i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 8.89872 | − | 6.46530i | 0.0215988 | − | 0.0156925i | ||||
\(413\) | −64.8199 | − | 89.2169i | −0.156949 | − | 0.216022i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1037.41 | − | 337.076i | −2.49979 | − | 0.812231i | ||||
\(416\) | 40.0529 | + | 29.1002i | 0.0962811 | + | 0.0699523i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 57.4897 | − | 88.4818i | 0.137535 | − | 0.211679i | ||||
\(419\) | −485.955 | −1.15980 | −0.579898 | − | 0.814689i | \(-0.696908\pi\) | ||||
−0.579898 | + | 0.814689i | \(0.696908\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −146.062 | + | 449.532i | −0.346940 | + | 1.06777i | 0.613596 | + | 0.789620i | \(0.289722\pi\) |
−0.960537 | + | 0.278153i | \(0.910278\pi\) | |||||||
\(422\) | 0.464402 | + | 1.42928i | 0.00110048 | + | 0.00338693i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −86.8556 | − | 119.546i | −0.204848 | − | 0.281949i | ||||
\(425\) | 443.688 | − | 144.163i | 1.04397 | − | 0.339207i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −602.809 | − | 437.966i | −1.41173 | − | 1.02568i | ||||
\(428\) | 142.514i | 0.332977i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 9.27708 | 0.0215746 | ||||||||
\(431\) | 149.488 | − | 205.752i | 0.346839 | − | 0.477383i | −0.599584 | − | 0.800312i | \(-0.704667\pi\) |
0.946423 | + | 0.322928i | \(0.104667\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −18.7374 | − | 57.6679i | −0.0432735 | − | 0.133182i | 0.927086 | − | 0.374850i | \(-0.122306\pi\) |
−0.970359 | + | 0.241667i | \(0.922306\pi\) | |||||||
\(434\) | −10.2660 | + | 7.45868i | −0.0236544 | + | 0.0171859i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 688.513 | − | 223.712i | 1.57916 | − | 0.513100i | ||||
\(437\) | −223.774 | − | 72.7085i | −0.512068 | − | 0.166381i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 190.549i | − | 0.434053i | −0.976166 | − | 0.217026i | \(-0.930364\pi\) | ||
0.976166 | − | 0.217026i | \(-0.0696358\pi\) | |||||||
\(440\) | −156.843 | + | 126.950i | −0.356462 | + | 0.288522i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.74786 | − | 13.4168i | 0.0220540 | − | 0.0303547i | ||||
\(443\) | 89.7905 | − | 276.347i | 0.202687 | − | 0.623808i | −0.797113 | − | 0.603830i | \(-0.793641\pi\) |
0.999800 | − | 0.0199775i | \(-0.00635945\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −395.274 | + | 287.183i | −0.888255 | + | 0.645355i | ||||
\(446\) | −46.1373 | − | 63.5025i | −0.103447 | − | 0.142382i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 522.428 | + | 169.747i | 1.16613 | + | 0.378900i | ||||
\(449\) | 371.736 | + | 270.082i | 0.827920 | + | 0.601519i | 0.918970 | − | 0.394327i | \(-0.129022\pi\) |
−0.0910497 | + | 0.995846i | \(0.529022\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −77.2736 | + | 4.03192i | −0.171338 | + | 0.00893995i | ||||
\(452\) | 719.680 | 1.59221 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 33.0802 | − | 101.810i | 0.0728639 | − | 0.224252i | ||||
\(455\) | −78.2426 | − | 240.806i | −0.171962 | − | 0.529244i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.50425 | + | 10.3287i | 0.0164207 | + | 0.0226011i | 0.817148 | − | 0.576427i | \(-0.195554\pi\) |
−0.800728 | + | 0.599028i | \(0.795554\pi\) | |||||||
\(458\) | 68.8735 | − | 22.3783i | 0.150379 | − | 0.0488610i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 179.749 | + | 130.595i | 0.390758 | + | 0.283903i | ||||
\(461\) | − | 109.347i | − | 0.237195i | −0.992942 | − | 0.118597i | \(-0.962160\pi\) | ||
0.992942 | − | 0.118597i | \(-0.0378397\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 419.108 | 0.905202 | 0.452601 | − | 0.891713i | \(-0.350496\pi\) | ||||
0.452601 | + | 0.891713i | \(0.350496\pi\) | |||||||
\(464\) | 29.4355 | − | 40.5145i | 0.0634386 | − | 0.0873158i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 8.26148 | + | 25.4262i | 0.0177285 | + | 0.0545627i | ||||
\(467\) | −371.163 | + | 269.666i | −0.794782 | + | 0.577443i | −0.909379 | − | 0.415969i | \(-0.863442\pi\) |
0.114597 | + | 0.993412i | \(0.463442\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 30.7622 | − | 9.99524i | 0.0655910 | − | 0.0213118i | ||||
\(470\) | −109.151 | − | 35.4655i | −0.232237 | − | 0.0754584i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 27.2063i | 0.0576406i | ||||||||
\(473\) | −15.7442 | − | 41.0431i | −0.0332857 | − | 0.0867719i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 540.114 | − | 743.403i | 1.13708 | − | 1.56506i | ||||
\(476\) | 188.090 | − | 578.881i | 0.395146 | − | 1.21614i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.99619 | + | 2.17686i | −0.00626819 | + | 0.00455410i | ||||
\(479\) | −146.233 | − | 201.272i | −0.305288 | − | 0.420192i | 0.628617 | − | 0.777715i | \(-0.283621\pi\) |
−0.933904 | + | 0.357523i | \(0.883621\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.69496 | − | 2.50025i | −0.0159978 | − | 0.00519802i | ||||
\(482\) | −59.9041 | − | 43.5228i | −0.124282 | − | 0.0902964i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 408.778 | + | 236.259i | 0.844583 | + | 0.488138i | ||||
\(485\) | 480.793 | 0.991326 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 42.9047 | − | 132.047i | 0.0880999 | − | 0.271144i | −0.897294 | − | 0.441433i | \(-0.854470\pi\) |
0.985394 | + | 0.170289i | \(0.0544703\pi\) | |||||||
\(488\) | 56.8048 | + | 174.827i | 0.116403 | + | 0.358252i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 70.3295 | + | 96.8003i | 0.143530 | + | 0.197552i | ||||
\(491\) | −210.976 | + | 68.5501i | −0.429686 | + | 0.139613i | −0.515872 | − | 0.856666i | \(-0.672532\pi\) |
0.0861863 | + | 0.996279i | \(0.472532\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −42.4899 | − | 30.8707i | −0.0861864 | − | 0.0626181i | ||||
\(494\) | − | 32.6652i | − | 0.0661240i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −59.9647 | −0.120897 | ||||||||
\(497\) | −688.889 | + | 948.174i | −1.38609 | + | 1.90780i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −232.279 | − | 714.883i | −0.465490 | − | 1.43263i | −0.858365 | − | 0.513039i | \(-0.828520\pi\) |
0.392875 | − | 0.919592i | \(-0.371480\pi\) | |||||||
\(500\) | −116.768 | + | 84.8369i | −0.233536 | + | 0.169674i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −74.6327 | + | 24.2496i | −0.148671 | + | 0.0483061i | ||||
\(503\) | 12.8246 | + | 4.16698i | 0.0254963 | + | 0.00828425i | 0.321737 | − | 0.946829i | \(-0.395733\pi\) |
−0.296241 | + | 0.955113i | \(0.595733\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 830.059i | 1.64368i | ||||||||
\(506\) | −6.84962 | + | 25.5397i | −0.0135368 | + | 0.0504736i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −443.437 | + | 610.338i | −0.872907 | + | 1.20145i | ||||
\(509\) | −226.024 | + | 695.630i | −0.444055 | + | 1.36666i | 0.439462 | + | 0.898261i | \(0.355169\pi\) |
−0.883517 | + | 0.468399i | \(0.844831\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −151.879 | + | 110.346i | −0.297218 | + | 0.215942i | ||||
\(512\) | −213.036 | − | 293.219i | −0.416086 | − | 0.572694i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −77.6877 | − | 25.2423i | −0.151143 | − | 0.0491095i | ||||
\(515\) | 16.9112 | + | 12.2867i | 0.0328373 | + | 0.0238577i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 28.3369 | + | 543.090i | 0.0548103 | + | 1.05047i | ||||
\(518\) | 7.45835 | 0.0143984 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −19.3030 | + | 59.4084i | −0.0371211 | + | 0.114247i | ||||
\(521\) | −217.426 | − | 669.168i | −0.417324 | − | 1.28439i | −0.910156 | − | 0.414266i | \(-0.864038\pi\) |
0.492832 | − | 0.870125i | \(-0.335962\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 484.863 | + | 667.357i | 0.927080 | + | 1.27602i | 0.960988 | + | 0.276591i | \(0.0892048\pi\) |
−0.0339075 | + | 0.999425i | \(0.510795\pi\) | |||||||
\(524\) | −625.533 | + | 203.248i | −1.19377 | + | 0.387878i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −61.6438 | − | 44.7868i | −0.117194 | − | 0.0851461i | ||||
\(527\) | 62.8884i | 0.119333i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −470.038 | −0.888540 | ||||||||
\(530\) | 81.5072 | − | 112.185i | 0.153787 | − | 0.211670i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −370.476 | − | 1140.21i | −0.696384 | − | 2.14325i | ||||
\(533\) | −19.3793 | + | 14.0799i | −0.0363589 | + | 0.0264163i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −257.580 | + | 83.6928i | −0.481458 | + | 0.156435i | ||||
\(536\) | −7.58923 | − | 2.46589i | −0.0141590 | − | 0.00460054i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 81.5866i | 0.151648i | ||||||||
\(539\) | 308.902 | − | 475.428i | 0.573102 | − | 0.882056i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −579.943 | + | 798.223i | −1.07198 | + | 1.47546i | −0.203931 | + | 0.978985i | \(0.565372\pi\) |
−0.868052 | + | 0.496473i | \(0.834628\pi\) | |||||||
\(542\) | 42.4436 | − | 130.628i | 0.0783093 | − | 0.241011i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −182.980 | + | 132.943i | −0.336361 | + | 0.244380i | ||||
\(545\) | 808.672 | + | 1113.04i | 1.48380 | + | 2.04228i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −96.5105 | − | 31.3582i | −0.176436 | − | 0.0573276i | 0.219467 | − | 0.975620i | \(-0.429568\pi\) |
−0.395903 | + | 0.918292i | \(0.629568\pi\) | |||||||
\(548\) | −0.0458096 | − | 0.0332827i | −8.35942e−5 | − | 6.07348e-5i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −86.5941 | − | 56.2632i | −0.157444 | − | 0.102297i | ||||
\(551\) | −103.448 | −0.187747 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.8926 | − | 33.5239i | 0.0196972 | − | 0.0606218i | ||||
\(554\) | 19.5675 | + | 60.2224i | 0.0353203 | + | 0.108705i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −271.542 | − | 373.746i | −0.488386 | − | 0.672205i | ||||
\(557\) | 832.827 | − | 270.602i | 1.49520 | − | 0.485820i | 0.556587 | − | 0.830789i | \(-0.312111\pi\) |
0.938614 | + | 0.344969i | \(0.112111\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −11.0095 | − | 7.99885i | −0.0196949 | − | 0.0143092i | ||||
\(560\) | 1102.95i | 1.96955i | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 135.147 | 0.240475 | ||||||||
\(563\) | 443.883 | − | 610.953i | 0.788425 | − | 1.08517i | −0.205878 | − | 0.978578i | \(-0.566005\pi\) |
0.994302 | − | 0.106596i | \(-0.0339951\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 422.639 | + | 1300.75i | 0.748034 | + | 2.30221i | ||||
\(566\) | −39.8933 | + | 28.9841i | −0.0704828 | + | 0.0512087i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 274.990 | − | 89.3498i | 0.484138 | − | 0.157306i | ||||
\(569\) | 228.284 | + | 74.1740i | 0.401203 | + | 0.130359i | 0.502666 | − | 0.864481i | \(-0.332353\pi\) |
−0.101464 | + | 0.994839i | \(0.532353\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 343.953i | − | 0.602369i | −0.953566 | − | 0.301184i | \(-0.902618\pi\) | ||
0.953566 | − | 0.301184i | \(-0.0973820\pi\) | |||||||
\(572\) | 145.962 | − | 7.61590i | 0.255179 | − | 0.0133145i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 12.9790 | − | 17.8641i | 0.0226115 | − | 0.0311220i | ||||
\(575\) | −71.1573 | + | 219.000i | −0.123752 | + | 0.380869i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 746.570 | − | 542.415i | 1.29388 | − | 0.940060i | 0.294006 | − | 0.955804i | \(-0.405012\pi\) |
0.999876 | + | 0.0157437i | \(0.00501159\pi\) | |||||||
\(578\) | −8.64569 | − | 11.8998i | −0.0149579 | − | 0.0205878i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 92.9042 | + | 30.1864i | 0.160180 | + | 0.0520455i | ||||
\(581\) | −1193.28 | − | 866.970i | −2.05384 | − | 1.49220i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −634.649 | − | 170.210i | −1.08859 | − | 0.291955i | ||||
\(584\) | 46.3148 | 0.0793061 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 43.2222 | − | 133.024i | 0.0737581 | − | 0.227004i | ||||
\(587\) | 0.794599 | + | 2.44552i | 0.00135366 | + | 0.00416614i | 0.951731 | − | 0.306933i | \(-0.0993028\pi\) |
−0.950377 | + | 0.311099i | \(0.899303\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 72.8089 | + | 100.213i | 0.123614 | + | 0.170141i | ||||
\(590\) | −24.2814 | + | 7.88952i | −0.0411550 | + | 0.0133721i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 28.5136 | + | 20.7164i | 0.0481649 | + | 0.0349939i | ||||
\(593\) | − | 115.926i | − | 0.195491i | −0.995211 | − | 0.0977456i | \(-0.968837\pi\) | ||
0.995211 | − | 0.0977456i | \(-0.0311631\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1156.73 | 1.94408 | ||||||||
\(596\) | 418.376 | − | 575.845i | 0.701973 | − | 0.966183i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.52952 | + | 7.78507i | 0.00422997 | + | 0.0130185i | ||||
\(599\) | 183.263 | − | 133.148i | 0.305948 | − | 0.222284i | −0.424208 | − | 0.905565i | \(-0.639448\pi\) |
0.730156 | + | 0.683281i | \(0.239448\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −540.904 | + | 175.750i | −0.900006 | + | 0.292430i | −0.722240 | − | 0.691643i | \(-0.756887\pi\) |
−0.177767 | + | 0.984073i | \(0.556887\pi\) | |||||||
\(602\) | 11.9305 | + | 3.87644i | 0.0198181 | + | 0.00643928i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 666.946i | 1.10422i | ||||||||
\(605\) | −186.955 | + | 877.571i | −0.309017 | + | 1.45053i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −182.276 | + | 250.882i | −0.300291 | + | 0.413315i | −0.932323 | − | 0.361628i | \(-0.882221\pi\) |
0.632032 | + | 0.774942i | \(0.282221\pi\) | |||||||
\(608\) | −137.665 | + | 423.690i | −0.226423 | + | 0.696858i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −139.559 | + | 101.396i | −0.228785 | + | 0.166222i | ||||
\(611\) | 98.9555 | + | 136.200i | 0.161957 | + | 0.222914i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −213.251 | − | 69.2895i | −0.347881 | − | 0.113033i | 0.129864 | − | 0.991532i | \(-0.458546\pi\) |
−0.477745 | + | 0.878498i | \(0.658546\pi\) | |||||||
\(614\) | 94.8029 | + | 68.8784i | 0.154402 | + | 0.112180i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −254.749 | + | 97.7219i | −0.413554 | + | 0.158639i | ||||
\(617\) | −693.508 | −1.12400 | −0.562000 | − | 0.827137i | \(-0.689968\pi\) | ||||
−0.562000 | + | 0.827137i | \(0.689968\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 115.272 | − | 354.771i | 0.186223 | − | 0.573135i | −0.813744 | − | 0.581223i | \(-0.802574\pi\) |
0.999967 | + | 0.00808783i | \(0.00257446\pi\) | |||||||
\(620\) | −36.1455 | − | 111.244i | −0.0582991 | − | 0.179426i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 16.9295 | + | 23.3014i | 0.0272178 | + | 0.0374621i | ||||
\(623\) | −628.328 | + | 204.156i | −1.00855 | + | 0.327699i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 384.617 | + | 279.441i | 0.615387 | + | 0.447105i | ||||
\(626\) | 151.816i | 0.242517i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −107.804 | −0.171662 | ||||||||
\(629\) | 21.7264 | − | 29.9039i | 0.0345412 | − | 0.0475419i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −214.459 | − | 660.038i | −0.339872 | − | 1.04602i | −0.964272 | − | 0.264914i | \(-0.914656\pi\) |
0.624400 | − | 0.781105i | \(-0.285344\pi\) | |||||||
\(632\) | −7.03536 | + | 5.11149i | −0.0111319 | + | 0.00808780i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 124.566 | − | 40.4741i | 0.196477 | − | 0.0638392i | ||||
\(635\) | −1363.54 | − | 443.040i | −2.14730 | − | 0.697701i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 175.516i | − | 0.275535i | ||||||
\(638\) | 0.605772 | + | 11.6099i | 0.000949485 | + | 0.0181973i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 328.228 | − | 451.767i | 0.512857 | − | 0.705887i | ||||
\(641\) | 272.173 | − | 837.663i | 0.424607 | − | 1.30681i | −0.478762 | − | 0.877945i | \(-0.658914\pi\) |
0.903370 | − | 0.428863i | \(-0.141086\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 835.085 | − | 606.725i | 1.29873 | − | 0.943584i | 0.298790 | − | 0.954319i | \(-0.403417\pi\) |
0.999942 | + | 0.0107345i | \(0.00341696\pi\) | |||||||
\(644\) | 176.590 | + | 243.056i | 0.274209 | + | 0.377416i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 141.926 | + | 46.1145i | 0.219700 | + | 0.0713847i | ||||
\(647\) | −287.108 | − | 208.596i | −0.443752 | − | 0.322405i | 0.343372 | − | 0.939199i | \(-0.388431\pi\) |
−0.787124 | + | 0.616795i | \(0.788431\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 76.1125 | + | 94.0353i | 0.117277 | + | 0.144893i | ||||
\(650\) | −31.9684 | −0.0491821 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 249.313 | − | 767.305i | 0.382381 | − | 1.17685i | ||||
\(653\) | 222.565 | + | 684.985i | 0.340835 | + | 1.04898i | 0.963776 | + | 0.266713i | \(0.0859376\pi\) |
−0.622941 | + | 0.782269i | \(0.714062\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −734.701 | − | 1011.23i | −1.12168 | − | 1.54386i | ||||
\(656\) | 99.2387 | − | 32.2446i | 0.151278 | − | 0.0491534i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −125.551 | − | 91.2183i | −0.190807 | − | 0.138630i | ||||
\(659\) | − | 745.955i | − | 1.13195i | −0.824423 | − | 0.565975i | \(-0.808500\pi\) | ||
0.824423 | − | 0.565975i | \(-0.191500\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −655.463 | −0.991623 | −0.495811 | − | 0.868430i | \(-0.665129\pi\) | ||||
−0.495811 | + | 0.868430i | \(0.665129\pi\) | |||||||
\(662\) | −42.7801 | + | 58.8818i | −0.0646225 | + | 0.0889453i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 112.447 | + | 346.077i | 0.169348 | + | 0.521200i | ||||
\(665\) | 1843.25 | − | 1339.20i | 2.77180 | − | 2.01383i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 24.6547 | − | 8.01081i | 0.0369636 | − | 0.0120102i | ||||
\(668\) | 236.824 | + | 76.9486i | 0.354526 | + | 0.115193i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 7.48840i | − | 0.0111767i | ||||||
\(671\) | 685.435 | + | 445.351i | 1.02151 | + | 0.663712i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 668.255 | − | 919.774i | 0.992950 | − | 1.36668i | 0.0633970 | − | 0.997988i | \(-0.479807\pi\) |
0.929553 | − | 0.368690i | \(-0.120193\pi\) | |||||||
\(674\) | 14.6076 | − | 44.9574i | 0.0216729 | − | 0.0667024i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −496.891 | + | 361.012i | −0.735045 | + | 0.534042i | ||||
\(677\) | 282.199 | + | 388.414i | 0.416838 | + | 0.573728i | 0.964869 | − | 0.262730i | \(-0.0846227\pi\) |
−0.548032 | + | 0.836457i | \(0.684623\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 618.308 | + | 200.900i | 0.910615 | + | 0.295877i | ||||
\(680\) | −230.871 | − | 167.737i | −0.339516 | − | 0.246673i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 10.8204 | − | 8.75809i | 0.0158657 | − | 0.0128418i | ||||
\(683\) | 110.003 | 0.161059 | 0.0805294 | − | 0.996752i | \(-0.474339\pi\) | ||||
0.0805294 | + | 0.996752i | \(0.474339\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.0332529 | − | 0.102342i | 4.85444e−5 | − | 0.000149404i | ||||
\(686\) | 2.46627 | + | 7.59038i | 0.00359514 | + | 0.0110647i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 34.8435 | + | 47.9580i | 0.0506447 | + | 0.0697064i | ||||
\(689\) | −193.456 | + | 62.8575i | −0.280777 | + | 0.0912301i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 436.497 | + | 317.134i | 0.631689 | + | 0.458949i | 0.856985 | − | 0.515341i | \(-0.172335\pi\) |
−0.225296 | + | 0.974290i | \(0.572335\pi\) | |||||||
\(692\) | − | 885.013i | − | 1.27892i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −82.2595 | −0.118530 | ||||||||
\(695\) | 516.043 | − | 710.272i | 0.742507 | − | 1.02197i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −33.8168 | − | 104.077i | −0.0485176 | − | 0.149322i | ||||
\(698\) | 111.360 | − | 80.9078i | 0.159542 | − | 0.115914i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1115.88 | + | 362.572i | −1.59412 | + | 0.517961i | ||||
\(701\) | 396.564 | + | 128.852i | 0.565712 | + | 0.183811i | 0.577890 | − | 0.816115i | \(-0.303876\pi\) |
−0.0121775 | + | 0.999926i | \(0.503876\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 72.8057i | − | 0.103564i | ||||||
\(704\) | −582.043 | − | 156.101i | −0.826765 | − | 0.221735i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −88.2276 | + | 121.435i | −0.124968 | + | 0.172004i | ||||
\(707\) | −346.842 | + | 1067.47i | −0.490583 | + | 1.50986i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 73.0353 | − | 53.0633i | 0.103012 | − | 0.0748424i | −0.535087 | − | 0.844797i | \(-0.679721\pi\) |
0.638099 | + | 0.769955i | \(0.279721\pi\) | |||||||
\(710\) | 159.488 | + | 219.516i | 0.224631 | + | 0.309178i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 155.013 | + | 50.3667i | 0.217714 | + | 0.0707397i | ||||
\(713\) | −25.1127 | − | 18.2455i | −0.0352212 | − | 0.0255897i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 99.4827 | + | 259.340i | 0.139137 | + | 0.362713i | ||||
\(716\) | −1107.01 | −1.54611 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −20.2445 | + | 62.3062i | −0.0281957 | + | 0.0867775i | ||||
\(719\) | 412.231 | + | 1268.72i | 0.573339 | + | 1.76456i | 0.641766 | + | 0.766901i | \(0.278202\pi\) |
−0.0684266 | + | 0.997656i | \(0.521798\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.6141 | + | 22.8673i | 0.0230431 | + | 0.0317161i | ||||
\(722\) | 172.067 | − | 55.9081i | 0.238320 | − | 0.0774350i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −425.482 | − | 309.131i | −0.587683 | − | 0.426976i | ||||
\(725\) | 101.241i | 0.139643i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −68.6829 | −0.0944744 | −0.0472372 | − | 0.998884i | \(-0.515042\pi\) | ||||
−0.0472372 | + | 0.998884i | \(0.515042\pi\) | |||||||
\(728\) | −49.6478 | + | 68.3344i | −0.0681976 | + | 0.0938659i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 13.4307 | + | 41.3356i | 0.0183983 | + | 0.0566241i | ||||
\(731\) | 50.2963 | − | 36.5424i | 0.0688048 | − | 0.0499896i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −629.447 | + | 204.520i | −0.858727 | + | 0.279017i | −0.705097 | − | 0.709111i | \(-0.749096\pi\) |
−0.153630 | + | 0.988128i | \(0.549096\pi\) | |||||||
\(734\) | 117.340 | + | 38.1261i | 0.159864 | + | 0.0519428i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 111.638i | − | 0.151682i | ||||||
\(737\) | −33.1298 | + | 12.7086i | −0.0449522 | + | 0.0172437i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −106.053 | + | 145.970i | −0.143509 | + | 0.197524i | −0.874721 | − | 0.484627i | \(-0.838955\pi\) |
0.731211 | + | 0.682151i | \(0.238955\pi\) | |||||||
\(740\) | −21.2448 | + | 65.3849i | −0.0287092 | + | 0.0883579i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 151.696 | − | 110.214i | 0.204442 | − | 0.148536i | ||||
\(743\) | 253.792 | + | 349.314i | 0.341577 | + | 0.470141i | 0.944901 | − | 0.327356i | \(-0.106157\pi\) |
−0.603324 | + | 0.797496i | \(0.706157\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1286.48 | + | 418.002i | 1.72681 | + | 0.561076i | ||||
\(746\) | −126.075 | − | 91.5987i | −0.169001 | − | 0.122787i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −172.969 | + | 644.937i | −0.231243 | + | 0.862216i | ||||
\(749\) | −366.223 | −0.488949 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 204.687 | − | 629.961i | 0.272552 | − | 0.838830i | −0.717304 | − | 0.696760i | \(-0.754624\pi\) |
0.989857 | − | 0.142070i | \(-0.0453757\pi\) | |||||||
\(752\) | −226.620 | − | 697.464i | −0.301356 | − | 0.927479i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.11542 | + | 2.91162i | 0.00280559 | + | 0.00386157i | ||||
\(755\) | −1205.44 | + | 391.671i | −1.59661 | + | 0.518769i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1013.22 | − | 736.147i | −1.33847 | − | 0.972453i | −0.999499 | − | 0.0316551i | \(-0.989922\pi\) |
−0.338968 | − | 0.940798i | \(-0.610078\pi\) | |||||||
\(758\) | − | 98.1044i | − | 0.129425i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −562.091 | −0.739593 | ||||||||
\(761\) | 366.101 | − | 503.895i | 0.481079 | − | 0.662148i | −0.497633 | − | 0.867388i | \(-0.665797\pi\) |
0.978712 | + | 0.205239i | \(0.0657973\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 574.879 | + | 1769.29i | 0.753445 | + | 2.31887i | ||||
\(764\) | −314.562 | + | 228.543i | −0.411731 | + | 0.299140i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 80.2395 | − | 26.0714i | 0.104751 | − | 0.0340358i | ||||
\(767\) | 35.6182 | + | 11.5731i | 0.0464384 | + | 0.0150887i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 39.8312i | 0.0517960i | 0.999665 | + | 0.0258980i | \(0.00824452\pi\) | ||||
−0.999665 | + | 0.0258980i | \(0.991755\pi\) | |||||||
\(770\) | −161.090 | − | 199.024i | −0.209208 | − | 0.258472i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 483.467 | − | 665.435i | 0.626252 | − | 0.861962i | ||||
\(773\) | 174.658 | − | 537.543i | 0.225949 | − | 0.695398i | −0.772245 | − | 0.635325i | \(-0.780866\pi\) |
0.998194 | − | 0.0600740i | \(-0.0191337\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 98.0749 | − | 71.2556i | 0.126548 | − | 0.0919427i | ||||
\(776\) | −94.2753 | − | 129.759i | −0.121489 | − | 0.167215i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −68.9860 | − | 22.4149i | −0.0886710 | − | 0.0288110i | ||||
\(779\) | −174.382 | − | 126.696i | −0.223854 | − | 0.162640i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 700.504 | − | 1078.14i | 0.896933 | − | 1.38046i | ||||
\(782\) | −37.3961 | −0.0478211 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −236.262 | + | 727.140i | −0.301355 | + | 0.927474i | ||||
\(785\) | −63.3089 | − | 194.845i | −0.0806482 | − | 0.248210i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 597.189 | + | 821.960i | 0.758817 | + | 1.04442i | 0.997312 | + | 0.0732781i | \(0.0233461\pi\) |
−0.238495 | + | 0.971144i | \(0.576654\pi\) | |||||||
\(788\) | −189.757 | + | 61.6559i | −0.240809 | + | 0.0782435i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −6.60213 | − | 4.79673i | −0.00835713 | − | 0.00607181i | ||||
\(791\) | 1849.39i | 2.33803i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 253.045 | 0.319099 | ||||||||
\(794\) | −47.1959 | + | 64.9596i | −0.0594407 | + | 0.0818131i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 93.2754 | + | 287.072i | 0.117180 | + | 0.360643i | ||||
\(797\) | −285.961 | + | 207.763i | −0.358796 | + | 0.260681i | −0.752550 | − | 0.658535i | \(-0.771176\pi\) |
0.393753 | + | 0.919216i | \(0.371176\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −731.471 | + | 237.669i | −0.915483 | + | 0.297458i | ||||
\(800\) | 414.651 | + | 134.728i | 0.518313 | + | 0.168410i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 96.3992i | 0.120199i | ||||||||
\(803\) | 160.081 | − | 129.570i | 0.199354 | − | 0.161358i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −335.595 | + | 461.906i | −0.416888 | + | 0.573797i | ||||
\(806\) | 1.33169 | − | 4.09851i | 0.00165222 | − | 0.00508500i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 224.020 | − | 162.760i | 0.277253 | − | 0.201436i | ||||
\(809\) | −269.354 | − | 370.734i | −0.332947 | − | 0.458263i | 0.609418 | − | 0.792849i | \(-0.291403\pi\) |
−0.942365 | + | 0.334587i | \(0.891403\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1413.55 | − | 459.292i | −1.74298 | − | 0.566328i | −0.747756 | − | 0.663973i | \(-0.768869\pi\) |
−0.995221 | + | 0.0976457i | \(0.968869\pi\) | |||||||
\(812\) | 106.863 | + | 77.6404i | 0.131605 | + | 0.0956163i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.17090 | + | 0.426335i | −0.0100380 | + | 0.000523753i | ||||
\(815\) | 1533.24 | 1.88127 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 37.8404 | − | 116.461i | 0.0463163 | − | 0.142547i | ||||
\(818\) | −41.7992 | − | 128.645i | −0.0510993 | − | 0.157267i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 119.638 | + | 164.668i | 0.145900 | + | 0.200814i | ||||
\(821\) | −1272.74 | + | 413.539i | −1.55023 | + | 0.503702i | −0.954178 | − | 0.299241i | \(-0.903267\pi\) |
−0.596057 | + | 0.802942i | \(0.703267\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 837.396 | + | 608.404i | 1.01749 | + | 0.739252i | 0.965767 | − | 0.259410i | \(-0.0835280\pi\) |
0.0517251 | + | 0.998661i | \(0.483528\pi\) | |||||||
\(824\) | − | 6.97330i | − | 0.00846274i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −34.5230 | −0.0417954 | ||||||||
\(827\) | 530.876 | − | 730.689i | 0.641930 | − | 0.883541i | −0.356786 | − | 0.934186i | \(-0.616128\pi\) |
0.998717 | + | 0.0506448i | \(0.0161276\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −156.886 | − | 482.844i | −0.189247 | − | 0.582442i | 0.810749 | − | 0.585394i | \(-0.199060\pi\) |
−0.999996 | + | 0.00295239i | \(0.999060\pi\) | |||||||
\(830\) | −276.262 | + | 200.716i | −0.332846 | + | 0.241827i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −177.420 | + | 57.6473i | −0.213245 | + | 0.0692876i | ||||
\(833\) | 762.593 | + | 247.781i | 0.915478 | + | 0.297457i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 473.224i | 0.566735i | ||||||||
\(836\) | 471.047 | + | 1227.96i | 0.563454 | + | 1.46886i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −89.4197 | + | 123.076i | −0.106706 | + | 0.146868i | ||||
\(839\) | 368.755 | − | 1134.91i | 0.439518 | − | 1.35270i | −0.448868 | − | 0.893598i | \(-0.648173\pi\) |
0.888386 | − | 0.459098i | \(-0.151827\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −671.162 | + | 487.628i | −0.798053 | + | 0.579819i | ||||
\(842\) | 86.9745 | + | 119.710i | 0.103295 | + | 0.142174i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −17.8150 | − | 5.78846i | −0.0211079 | − | 0.00685836i | ||||
\(845\) | −944.297 | − | 686.072i | −1.11751 | − | 0.811919i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −607.122 | + | 1050.45i | −0.716791 | + | 1.24020i | ||||
\(848\) | 886.073 | 1.04490 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 45.1307 | − | 138.898i | 0.0530950 | − | 0.163410i | ||||
\(851\) | 5.63791 | + | 17.3517i | 0.00662504 | + | 0.0203898i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 690.939 | + | 950.997i | 0.810011 | + | 1.11488i | 0.991322 | + | 0.131459i | \(0.0419661\pi\) |
−0.181311 | + | 0.983426i | \(0.558034\pi\) | |||||||
\(854\) | −221.844 | + | 72.0813i | −0.259770 | + | 0.0844044i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 73.0944 | + | 53.1062i | 0.0853906 | + | 0.0620399i | ||||
\(857\) | 921.178i | 1.07489i | 0.843300 | + | 0.537444i | \(0.180610\pi\) | ||||
−0.843300 | + | 0.537444i | \(0.819390\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −674.852 | −0.785625 | −0.392813 | − | 0.919619i | \(-0.628498\pi\) | ||||
−0.392813 | + | 0.919619i | \(0.628498\pi\) | |||||||
\(860\) | −67.9670 | + | 93.5486i | −0.0790314 | + | 0.108777i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −24.6030 | − | 75.7202i | −0.0285418 | − | 0.0878425i | ||||
\(863\) | −533.760 | + | 387.799i | −0.618494 | + | 0.449362i | −0.852395 | − | 0.522898i | \(-0.824851\pi\) |
0.233901 | + | 0.972260i | \(0.424851\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1599.57 | − | 519.733i | 1.84922 | − | 0.600847i | ||||
\(866\) | −18.0531 | − | 5.86582i | −0.0208466 | − | 0.00677347i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | − | 158.165i | − | 0.182218i | ||||||
\(869\) | −10.0169 | + | 37.3493i | −0.0115270 | + | 0.0429797i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.45663 | + | 8.88678i | −0.00741289 | + | 0.0102030i | ||||
\(872\) | 141.826 | − | 436.497i | 0.162645 | − | 0.500569i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −59.5908 | + | 43.2952i | −0.0681817 | + | 0.0495369i | ||||
\(875\) | −218.008 | − | 300.063i | −0.249152 | − | 0.342929i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −132.496 | − | 43.0505i | −0.151078 | − | 0.0490883i | 0.232502 | − | 0.972596i | \(-0.425309\pi\) |
−0.383580 | + | 0.923508i | \(0.625309\pi\) | |||||||
\(878\) | −48.2596 | − | 35.0626i | −0.0549653 | − | 0.0399346i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −63.0469 | − | 1208.32i | −0.0716442 | − | 1.37309i | ||||
\(881\) | 28.6079 | 0.0324721 | 0.0162360 | − | 0.999868i | \(-0.494832\pi\) | ||||
0.0162360 | + | 0.999868i | \(0.494832\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −234.024 | + | 720.250i | −0.265032 | + | 0.815686i | 0.726654 | + | 0.687004i | \(0.241075\pi\) |
−0.991686 | + | 0.128682i | \(0.958925\pi\) | |||||||
\(884\) | 63.8765 | + | 196.592i | 0.0722585 | + | 0.222389i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −53.4669 | − | 73.5909i | −0.0603464 | − | 0.0830597i | ||||
\(887\) | 953.563 | − | 309.831i | 1.07504 | − | 0.349303i | 0.282593 | − | 0.959240i | \(-0.408805\pi\) |
0.792450 | + | 0.609937i | \(0.208805\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1568.41 | − | 1139.51i | −1.76424 | − | 1.28179i | ||||
\(890\) | 152.953i | 0.171858i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 978.366 | 1.09682 | ||||||||
\(893\) | −890.440 | + | 1225.59i | −0.997133 | + | 1.37244i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −650.103 | − | 2000.81i | −0.726372 | − | 2.23554i | ||||
\(896\) | 610.879 | − | 443.829i | 0.681784 | − | 0.495345i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 136.805 | − | 44.4507i | 0.152344 | − | 0.0494996i | ||||
\(899\) | −12.9797 | − | 4.21735i | −0.0144379 | − | 0.00469115i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 929.275i | − | 1.03138i | ||||||
\(902\) | −13.1978 | + | 20.3127i | −0.0146317 | + | 0.0225196i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 268.180 | − | 369.118i | 0.296660 | − | 0.408317i | ||||
\(905\) | 308.855 | − | 950.557i | 0.341276 | − | 1.05034i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1050.71 | + | 763.387i | −1.15845 | + | 0.841661i | −0.989581 | − | 0.143977i | \(-0.954011\pi\) |
−0.168867 | + | 0.985639i | \(0.554011\pi\) | |||||||
\(908\) | 784.283 | + | 1079.47i | 0.863748 | + | 1.18885i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −75.3851 | − | 24.4941i | −0.0828408 | − | 0.0269166i | ||||
\(911\) | −627.031 | − | 455.565i | −0.688288 | − | 0.500071i | 0.187809 | − | 0.982206i | \(-0.439862\pi\) |
−0.876097 | + | 0.482135i | \(0.839862\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1356.84 | + | 881.588i | 1.48614 | + | 0.965595i | ||||
\(914\) | 3.99675 | 0.00437281 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −278.931 | + | 858.460i | −0.304509 | + | 0.937184i | ||||
\(917\) | −522.293 | − | 1607.45i | −0.569567 | − | 1.75295i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −63.8375 | − | 87.8648i | −0.0694641 | − | 0.0956091i | 0.772871 | − | 0.634563i | \(-0.218820\pi\) |
−0.842335 | + | 0.538954i | \(0.818820\pi\) | |||||||
\(920\) | 133.963 | − | 43.5271i | 0.145611 | − | 0.0473120i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −27.6938 | − | 20.1207i | −0.0300366 | − | 0.0218229i | ||||
\(923\) | − | 398.022i | − | 0.431226i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −71.2524 | −0.0770296 | ||||||||
\(926\) | 77.1194 | − | 106.146i | 0.0832823 | − | 0.114628i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −15.1675 | − | 46.6809i | −0.0163443 | − | 0.0503027i | ||||
\(929\) | 245.254 | − | 178.187i | 0.263997 | − | 0.191805i | −0.447910 | − | 0.894079i | \(-0.647832\pi\) |
0.711907 | + | 0.702273i | \(0.247832\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1502.06 | − | 488.050i | 1.61339 | − | 0.524221i | ||||
\(932\) | −316.920 | − | 102.974i | −0.340043 | − | 0.110487i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 143.624i | 0.153773i | ||||||||
\(935\) | −1267.24 | + | 66.1209i | −1.35533 | + | 0.0707175i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 209.048 | − | 287.730i | 0.223104 | − | 0.307076i | −0.682762 | − | 0.730641i | \(-0.739221\pi\) |
0.905866 | + | 0.423565i | \(0.139221\pi\) | |||||||
\(938\) | 3.12904 | − | 9.63021i | 0.00333587 | − | 0.0102667i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1157.31 | − | 840.834i | 1.23118 | − | 0.894504i | ||||
\(941\) | −735.016 | − | 1011.66i | −0.781101 | − | 1.07509i | −0.995160 | − | 0.0982724i | \(-0.968668\pi\) |
0.214059 | − | 0.976821i | \(-0.431332\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 51.3714 | + | 16.6916i | 0.0544766 | + | 0.0177005i | ||||
\(944\) | −131.983 | − | 95.8913i | −0.139813 | − | 0.101580i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −13.2919 | − | 3.56482i | −0.0140506 | − | 0.00376831i | ||||
\(947\) | 373.371 | 0.394267 | 0.197134 | − | 0.980377i | \(-0.436837\pi\) | ||||
0.197134 | + | 0.980377i | \(0.436837\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 19.7014 | − | 60.6348i | 0.0207602 | − | 0.0638933i | ||||
\(950\) | −88.8930 | − | 273.585i | −0.0935716 | − | 0.287984i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −226.814 | − | 312.183i | −0.238250 | − | 0.327923i | ||||
\(953\) | −626.818 | + | 203.666i | −0.657732 | + | 0.213710i | −0.618820 | − | 0.785533i | \(-0.712389\pi\) |
−0.0389116 | + | 0.999243i | \(0.512389\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −597.798 | − | 434.326i | −0.625967 | − | 0.454791i | ||||
\(956\) | − | 46.1616i | − | 0.0482862i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −77.8833 | −0.0812979 | ||||||||
\(959\) | 0.0855275 | − | 0.117719i | 8.91841e−5 | − | 0.000122751i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −291.915 | − | 898.423i | −0.303762 | − | 0.934884i | ||||
\(962\) | −2.04916 | + | 1.48880i | −0.00213011 | + | 0.00154761i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 877.755 | − | 285.200i | 0.910534 | − | 0.295850i | ||||
\(965\) | 1486.63 | + | 483.034i | 1.54055 | + | 0.500554i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1521.95i | 1.57389i | 0.617021 | + | 0.786947i | \(0.288339\pi\) | ||||
−0.617021 | + | 0.786947i | \(0.711661\pi\) | |||||||
\(968\) | 273.502 | − | 121.620i | 0.282543 | − | 0.125641i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 88.4699 | − | 121.768i | 0.0912061 | − | 0.125534i | ||||
\(971\) | −308.318 | + | 948.907i | −0.317527 | + | 0.977247i | 0.657175 | + | 0.753738i | \(0.271751\pi\) |
−0.974702 | + | 0.223509i | \(0.928249\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 960.428 | − | 697.792i | 0.987079 | − | 0.717155i | ||||
\(974\) | −25.5481 | − | 35.1640i | −0.0262301 | − | 0.0361027i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1048.33 | − | 340.624i | −1.07411 | − | 0.349000i | ||||
\(977\) | 1399.82 | + | 1017.03i | 1.43278 | + | 1.04097i | 0.989491 | + | 0.144593i | \(0.0461873\pi\) |
0.443286 | + | 0.896380i | \(0.353813\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 676.687 | − | 259.577i | 0.691203 | − | 0.265145i | ||||
\(980\) | −1491.38 | −1.52181 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −21.4599 | + | 66.0467i | −0.0218532 | + | 0.0672573i | ||||
\(983\) | −57.9189 | − | 178.256i | −0.0589206 | − | 0.181339i | 0.917264 | − | 0.398279i | \(-0.130392\pi\) |
−0.976185 | + | 0.216940i | \(0.930392\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −222.874 | − | 306.759i | −0.226268 | − | 0.311431i | ||||
\(986\) | −15.6370 | + | 5.08077i | −0.0158590 | + | 0.00515291i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 329.391 | + | 239.317i | 0.333392 | + | 0.242223i | ||||
\(989\) | 30.6863i | 0.0310276i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1229.91 | 1.24108 | 0.620540 | − | 0.784175i | \(-0.286913\pi\) | ||||
0.620540 | + | 0.784175i | \(0.286913\pi\) | |||||||
\(992\) | −34.5457 | + | 47.5481i | −0.0348243 | + | 0.0479315i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 113.379 | + | 348.944i | 0.114063 | + | 0.351050i | ||||
\(995\) | −464.077 | + | 337.172i | −0.466409 | + | 0.338866i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1782.23 | + | 579.083i | −1.78760 | + | 0.580826i | −0.999401 | − | 0.0345987i | \(-0.988985\pi\) |
−0.788196 | + | 0.615424i | \(0.788985\pi\) | |||||||
\(998\) | −223.797 | − | 72.7159i | −0.224245 | − | 0.0728616i | ||||
\(999\) | 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 | 99.3.k.c.73.3 | 16 | ||
3.2 | odd | 2 | 33.3.g.a.7.2 | ✓ | 16 | ||
11.5 | even | 5 | 1089.3.c.m.604.9 | 16 | |||
11.6 | odd | 10 | 1089.3.c.m.604.8 | 16 | |||
11.8 | odd | 10 | inner | 99.3.k.c.19.3 | 16 | ||
12.11 | even | 2 | 528.3.bf.b.337.2 | 16 | |||
33.2 | even | 10 | 363.3.g.g.94.2 | 16 | |||
33.5 | odd | 10 | 363.3.c.e.241.8 | 16 | |||
33.8 | even | 10 | 33.3.g.a.19.2 | yes | 16 | ||
33.14 | odd | 10 | 363.3.g.f.118.3 | 16 | |||
33.17 | even | 10 | 363.3.c.e.241.9 | 16 | |||
33.20 | odd | 10 | 363.3.g.a.94.3 | 16 | |||
33.26 | odd | 10 | 363.3.g.g.112.2 | 16 | |||
33.29 | even | 10 | 363.3.g.a.112.3 | 16 | |||
33.32 | even | 2 | 363.3.g.f.40.3 | 16 | |||
132.107 | odd | 10 | 528.3.bf.b.481.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.g.a.7.2 | ✓ | 16 | 3.2 | odd | 2 | ||
33.3.g.a.19.2 | yes | 16 | 33.8 | even | 10 | ||
99.3.k.c.19.3 | 16 | 11.8 | odd | 10 | inner | ||
99.3.k.c.73.3 | 16 | 1.1 | even | 1 | trivial | ||
363.3.c.e.241.8 | 16 | 33.5 | odd | 10 | |||
363.3.c.e.241.9 | 16 | 33.17 | even | 10 | |||
363.3.g.a.94.3 | 16 | 33.20 | odd | 10 | |||
363.3.g.a.112.3 | 16 | 33.29 | even | 10 | |||
363.3.g.f.40.3 | 16 | 33.32 | even | 2 | |||
363.3.g.f.118.3 | 16 | 33.14 | odd | 10 | |||
363.3.g.g.94.2 | 16 | 33.2 | even | 10 | |||
363.3.g.g.112.2 | 16 | 33.26 | odd | 10 | |||
528.3.bf.b.337.2 | 16 | 12.11 | even | 2 | |||
528.3.bf.b.481.2 | 16 | 132.107 | odd | 10 | |||
1089.3.c.m.604.8 | 16 | 11.6 | odd | 10 | |||
1089.3.c.m.604.9 | 16 | 11.5 | even | 5 |