Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(47,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.be (of order \(18\), degree \(6\), 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: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 47.4 | ||
Character | \(\chi\) | \(=\) | 432.47 |
Dual form | 432.2.be.c.239.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{7}{18}\right)\) |
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 | 0 | ||||||||
\(3\) | 0.939092 | − | 1.45537i | 0.542185 | − | 0.840259i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.07086 | + | 0.188822i | −0.478904 | + | 0.0844436i | −0.407889 | − | 0.913032i | \(-0.633735\pi\) |
−0.0710149 | + | 0.997475i | \(0.522624\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0466102 | − | 0.0555478i | 0.0176170 | − | 0.0209951i | −0.757164 | − | 0.653225i | \(-0.773416\pi\) |
0.774781 | + | 0.632230i | \(0.217860\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.23621 | − | 2.73346i | −0.412071 | − | 0.911152i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.889704 | − | 5.04576i | 0.268256 | − | 1.52135i | −0.491346 | − | 0.870965i | \(-0.663495\pi\) |
0.759601 | − | 0.650389i | \(-0.225394\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.31632 | − | 1.93498i | −1.47448 | − | 0.536668i | −0.525168 | − | 0.850998i | \(-0.675998\pi\) |
−0.949314 | + | 0.314331i | \(0.898220\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.730832 | + | 1.73582i | −0.188700 | + | 0.448187i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.79605 | − | 2.19165i | 0.920678 | − | 0.531554i | 0.0368269 | − | 0.999322i | \(-0.488275\pi\) |
0.883851 | + | 0.467768i | \(0.154942\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.96707 | + | 2.86774i | 1.13952 | + | 0.657905i | 0.946313 | − | 0.323252i | \(-0.104776\pi\) |
0.193212 | + | 0.981157i | \(0.438110\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.0370715 | − | 0.120000i | −0.00808966 | − | 0.0261861i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.14687 | − | 2.64054i | 0.656168 | − | 0.550590i | −0.252768 | − | 0.967527i | \(-0.581341\pi\) |
0.908935 | + | 0.416937i | \(0.136896\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.58737 | + | 1.30570i | −0.717475 | + | 0.261139i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.13911 | − | 0.767820i | −0.989022 | − | 0.147767i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.30353 | − | 3.58141i | −0.242059 | − | 0.665051i | −0.999920 | − | 0.0126352i | \(-0.995978\pi\) |
0.757862 | − | 0.652415i | \(-0.226244\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.61088 | + | 3.11153i | 0.468929 | + | 0.558847i | 0.947729 | − | 0.319076i | \(-0.103373\pi\) |
−0.478800 | + | 0.877924i | \(0.658928\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −6.50794 | − | 6.03328i | −1.13289 | − | 1.05026i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.0394244 | + | 0.0682850i | −0.00666394 | + | 0.0115423i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.14643 | − | 1.98567i | −0.188471 | − | 0.326442i | 0.756269 | − | 0.654260i | \(-0.227020\pi\) |
−0.944741 | + | 0.327818i | \(0.893687\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.80863 | + | 5.92009i | −1.25038 | + | 0.947974i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.494495 | + | 1.35861i | −0.0772271 | + | 0.212180i | −0.972298 | − | 0.233744i | \(-0.924902\pi\) |
0.895071 | + | 0.445923i | \(0.147125\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.128831 | − | 0.0227164i | −0.0196466 | − | 0.00346422i | 0.163816 | − | 0.986491i | \(-0.447620\pi\) |
−0.183463 | + | 0.983027i | \(0.558731\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.83995 | + | 2.69373i | 0.274283 | + | 0.401557i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.26138 | + | 3.57572i | 0.621586 | + | 0.521573i | 0.898302 | − | 0.439379i | \(-0.144802\pi\) |
−0.276716 | + | 0.960952i | \(0.589246\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.21462 | + | 6.88848i | 0.173518 | + | 0.984068i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.375176 | − | 7.58283i | 0.0525351 | − | 1.06181i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 10.4743i | 1.43876i | 0.694619 | + | 0.719378i | \(0.255573\pi\) | ||||
−0.694619 | + | 0.719378i | \(0.744427\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.57130i | 0.751234i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 8.83817 | − | 4.53586i | 1.17064 | − | 0.600790i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.69171 | − | 9.59417i | −0.220242 | − | 1.24905i | −0.871575 | − | 0.490262i | \(-0.836901\pi\) |
0.651333 | − | 0.758792i | \(-0.274210\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.96656 | + | 4.16744i | 0.635903 | + | 0.533586i | 0.902757 | − | 0.430151i | \(-0.141540\pi\) |
−0.266854 | + | 0.963737i | \(0.585984\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.209458 | − | 0.0587379i | −0.0263892 | − | 0.00740029i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 6.05841 | + | 1.06826i | 0.751453 | + | 0.132501i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.28472 | − | 6.27722i | 0.279123 | − | 0.766885i | −0.718339 | − | 0.695693i | \(-0.755097\pi\) |
0.997463 | − | 0.0711921i | \(-0.0226803\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.887762 | − | 7.05957i | −0.106874 | − | 0.849873i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.47730 | − | 6.02286i | −0.412680 | − | 0.714782i | 0.582502 | − | 0.812829i | \(-0.302074\pi\) |
−0.995182 | + | 0.0980471i | \(0.968740\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.77130 | − | 4.80004i | 0.324356 | − | 0.561802i | −0.657026 | − | 0.753868i | \(-0.728186\pi\) |
0.981382 | + | 0.192067i | \(0.0615190\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.46860 | + | 6.44713i | −0.169579 | + | 0.744450i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.238812 | − | 0.284605i | −0.0272151 | − | 0.0324337i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.83670 | + | 13.2887i | 0.544171 | + | 1.49510i | 0.841465 | + | 0.540312i | \(0.181694\pi\) |
−0.297294 | + | 0.954786i | \(0.596084\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.94356 | + | 6.75826i | −0.660396 | + | 0.750918i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.77579 | − | 1.37428i | 0.414447 | − | 0.150846i | −0.126377 | − | 0.991982i | \(-0.540335\pi\) |
0.540824 | + | 0.841136i | \(0.318113\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.65122 | + | 3.06373i | −0.396030 | + | 0.332309i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −6.43641 | − | 1.46616i | −0.690055 | − | 0.157189i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 14.4547 | + | 8.34541i | 1.53219 | + | 0.884612i | 0.999260 | + | 0.0384538i | \(0.0122432\pi\) |
0.532932 | + | 0.846158i | \(0.321090\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.355279 | + | 0.205120i | −0.0372433 | + | 0.0215024i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.98029 | − | 0.877792i | 0.723823 | − | 0.0910228i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −5.86054 | − | 2.13306i | −0.601278 | − | 0.218847i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.74888 | + | 15.5897i | −0.279106 | + | 1.58289i | 0.446502 | + | 0.894783i | \(0.352670\pi\) |
−0.725608 | + | 0.688108i | \(0.758442\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −14.8922 | + | 3.80566i | −1.49672 | + | 0.382483i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.40951 | − | 6.44680i | 0.538266 | − | 0.641481i | −0.426532 | − | 0.904473i | \(-0.640265\pi\) |
0.964798 | + | 0.262992i | \(0.0847092\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.918166 | − | 0.161897i | 0.0904696 | − | 0.0159522i | −0.128230 | − | 0.991744i | \(-0.540930\pi\) |
0.218700 | + | 0.975792i | \(0.429818\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.0623569 | + | 0.121503i | 0.00608541 | + | 0.0118575i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 11.2973 | 1.09215 | 0.546076 | − | 0.837736i | \(-0.316121\pi\) | ||||
0.546076 | + | 0.837736i | \(0.316121\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.80915 | 0.747981 | 0.373991 | − | 0.927433i | \(-0.377989\pi\) | ||||
0.373991 | + | 0.927433i | \(0.377989\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.96649 | − | 0.196250i | −0.376482 | − | 0.0186272i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.09837 | + | 1.42796i | −0.761830 | + | 0.134331i | −0.541048 | − | 0.840992i | \(-0.681972\pi\) |
−0.220782 | + | 0.975323i | \(0.570861\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.87127 | + | 3.42185i | −0.267747 | + | 0.319089i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.28291 | + | 16.9240i | 0.118605 | + | 1.56462i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.0551931 | − | 0.313016i | 0.00505955 | − | 0.0286941i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −14.3315 | − | 5.21624i | −1.30286 | − | 0.474203i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.51291 | + | 1.99554i | 0.136415 | + | 0.179931i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 8.30353 | − | 4.79405i | 0.742690 | − | 0.428793i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.34261 | + | 2.50721i | 0.385344 | + | 0.222479i | 0.680141 | − | 0.733081i | \(-0.261919\pi\) |
−0.294797 | + | 0.955560i | \(0.595252\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.154045 | + | 0.166164i | −0.0135629 | + | 0.0146300i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.94960 | + | 1.63591i | −0.170337 | + | 0.142930i | −0.723971 | − | 0.689830i | \(-0.757685\pi\) |
0.553634 | + | 0.832760i | \(0.313241\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.390813 | − | 0.142244i | 0.0338878 | − | 0.0123341i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 5.64825 | − | 0.148147i | 0.486124 | − | 0.0127505i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.44548 | − | 9.46638i | −0.294367 | − | 0.808767i | −0.995415 | − | 0.0956528i | \(-0.969506\pi\) |
0.701048 | − | 0.713115i | \(-0.252716\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.17758 | − | 2.59514i | −0.184700 | − | 0.220117i | 0.665747 | − | 0.746178i | \(-0.268113\pi\) |
−0.850447 | + | 0.526060i | \(0.823669\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 9.20583 | − | 2.84396i | 0.775271 | − | 0.239504i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −14.4934 | + | 25.1033i | −1.21200 | + | 2.09924i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.07214 | + | 3.58906i | 0.172082 | + | 0.298055i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 11.1659 | + | 4.70118i | 0.920951 | + | 0.387747i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.17252 | + | 19.7063i | −0.587596 | + | 1.61441i | 0.187290 | + | 0.982305i | \(0.440030\pi\) |
−0.774886 | + | 0.632101i | \(0.782193\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −20.2553 | − | 3.57156i | −1.64835 | − | 0.290649i | −0.729128 | − | 0.684377i | \(-0.760074\pi\) |
−0.919227 | + | 0.393728i | \(0.871185\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −10.6835 | − | 7.66700i | −0.863711 | − | 0.619840i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.38342 | − | 2.83903i | −0.271763 | − | 0.228036i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.28433 | − | 24.2976i | −0.341927 | − | 1.93916i | −0.343470 | − | 0.939164i | \(-0.611602\pi\) |
0.00154349 | − | 0.999999i | \(-0.499509\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 15.2440 | + | 9.83633i | 1.20893 | + | 0.780072i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 0.297878i | − | 0.0234761i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.2188i | 0.957048i | 0.878074 | + | 0.478524i | \(0.158828\pi\) | ||||
−0.878074 | + | 0.478524i | \(0.841172\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 8.10832 | + | 5.23197i | 0.631231 | + | 0.407308i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.673297 | − | 3.81846i | −0.0521013 | − | 0.295481i | 0.947612 | − | 0.319423i | \(-0.103489\pi\) |
−0.999713 | + | 0.0239425i | \(0.992378\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 14.5605 | + | 12.2177i | 1.12004 | + | 0.939826i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.69849 | − | 17.1224i | 0.129887 | − | 1.30938i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −15.4083 | − | 2.71690i | −1.17147 | − | 0.206562i | −0.446141 | − | 0.894963i | \(-0.647202\pi\) |
−0.725330 | + | 0.688401i | \(0.758313\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.0946794 | + | 0.260130i | −0.00715709 | + | 0.0196639i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −15.5518 | − | 6.54774i | −1.16894 | − | 0.492158i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −6.03273 | − | 10.4490i | −0.450907 | − | 0.780994i | 0.547535 | − | 0.836783i | \(-0.315566\pi\) |
−0.998443 | + | 0.0557882i | \(0.982233\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.1241 | − | 17.5354i | 0.752515 | − | 1.30339i | −0.194085 | − | 0.980985i | \(-0.562174\pi\) |
0.946600 | − | 0.322410i | \(-0.104493\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 10.7292 | − | 3.31458i | 0.793127 | − | 0.245021i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.60260 | + | 1.90991i | 0.117826 | + | 0.140419i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.68119 | − | 21.1039i | −0.561704 | − | 1.54327i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.282186 | + | 0.249678i | −0.0205260 | + | 0.0181614i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 23.5661 | − | 8.57737i | 1.70518 | − | 0.620636i | 0.708786 | − | 0.705424i | \(-0.249243\pi\) |
0.996399 | + | 0.0847874i | \(0.0270211\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.3801 | + | 9.54906i | −0.819160 | + | 0.687357i | −0.952775 | − | 0.303677i | \(-0.901786\pi\) |
0.133615 | + | 0.991033i | \(0.457341\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 7.24412 | − | 7.81404i | 0.518762 | − | 0.559575i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −14.3982 | − | 8.31282i | −1.02583 | − | 0.592264i | −0.110043 | − | 0.993927i | \(-0.535099\pi\) |
−0.915788 | + | 0.401663i | \(0.868432\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.6909 | − | 10.2138i | 1.25407 | − | 0.724039i | 0.282157 | − | 0.959368i | \(-0.408950\pi\) |
0.971916 | + | 0.235329i | \(0.0756167\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −6.99013 | − | 9.22001i | −0.493046 | − | 0.650330i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.259697 | − | 0.0945220i | −0.0182272 | − | 0.00663414i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.272999 | − | 1.54826i | 0.0190671 | − | 0.108135i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −11.1080 | − | 5.33757i | −0.772059 | − | 0.370987i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 18.8892 | − | 22.5112i | 1.30659 | − | 1.55713i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 17.6769 | − | 3.11691i | 1.21693 | − | 0.214577i | 0.471924 | − | 0.881639i | \(-0.343559\pi\) |
0.745002 | + | 0.667062i | \(0.232448\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −12.0310 | − | 0.595258i | −0.824351 | − | 0.0407864i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.142250 | 0.00970134 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.294533 | 0.0199942 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.38333 | − | 8.54095i | −0.296198 | − | 0.577144i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −24.4218 | + | 4.30623i | −1.64279 | + | 0.289668i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.193902 | + | 0.231084i | −0.0129846 | + | 0.0154745i | −0.772498 | − | 0.635018i | \(-0.780993\pi\) |
0.759513 | + | 0.650492i | \(0.225437\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.00382 | + | 8.19181i | 0.533588 | + | 0.546121i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −3.55254 | + | 20.1475i | −0.235790 | + | 1.33723i | 0.605152 | + | 0.796110i | \(0.293112\pi\) |
−0.840943 | + | 0.541124i | \(0.817999\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.31957 | + | 2.30013i | 0.417609 | + | 0.151997i | 0.542274 | − | 0.840202i | \(-0.317563\pi\) |
−0.124665 | + | 0.992199i | \(0.539786\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.638472 | + | 0.0802897i | −0.0420084 | + | 0.00528267i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 5.00964 | − | 2.89232i | 0.328193 | − | 0.189482i | −0.326846 | − | 0.945078i | \(-0.605986\pi\) |
0.655038 | + | 0.755596i | \(0.272652\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.23852 | − | 3.02446i | −0.341723 | − | 0.197294i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 23.8821 | + | 5.44014i | 1.55131 | + | 0.353375i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.92638 | − | 1.61642i | 0.124607 | − | 0.104558i | −0.578355 | − | 0.815785i | \(-0.696305\pi\) |
0.702962 | + | 0.711228i | \(0.251861\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.855851 | − | 0.311504i | 0.0551302 | − | 0.0200657i | −0.314308 | − | 0.949321i | \(-0.601772\pi\) |
0.369438 | + | 0.929255i | \(0.379550\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 4.25423 | + | 14.9967i | 0.272909 | + | 0.962040i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.60139 | − | 7.14725i | −0.166197 | − | 0.456621i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −20.8575 | − | 24.8570i | −1.32713 | − | 1.58161i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.54573 | − | 6.78575i | 0.0979569 | − | 0.430029i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −9.85499 | + | 17.0693i | −0.622041 | + | 1.07741i | 0.367064 | + | 0.930196i | \(0.380363\pi\) |
−0.989105 | + | 0.147212i | \(0.952970\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.5237 | − | 18.2276i | −0.661622 | − | 1.14596i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.03004 | + | 8.19100i | 0.0645037 | + | 0.512940i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.84779 | − | 10.5717i | 0.240018 | − | 0.659445i | −0.759937 | − | 0.649997i | \(-0.774770\pi\) |
0.999955 | − | 0.00944810i | \(-0.00300747\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.163735 | − | 0.0288709i | −0.0101740 | − | 0.00179395i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.17818 | + | 7.99051i | −0.506217 | + | 0.494600i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 8.08262 | + | 6.78213i | 0.498396 | + | 0.418204i | 0.857024 | − | 0.515277i | \(-0.172311\pi\) |
−0.358628 | + | 0.933481i | \(0.616755\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.97778 | − | 11.2165i | −0.121494 | − | 0.689025i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 25.7199 | − | 13.1998i | 1.57404 | − | 0.807815i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 28.9612i | 1.76580i | 0.469564 | + | 0.882898i | \(0.344411\pi\) | ||||
−0.469564 | + | 0.882898i | \(0.655589\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 29.5660i | − | 1.79600i | −0.439991 | − | 0.898002i | \(-0.645018\pi\) | ||
0.439991 | − | 0.898002i | \(-0.354982\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.0351133 | + | 0.709689i | −0.00212515 | + | 0.0429523i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3.39653 | + | 19.2627i | 0.204819 | + | 1.16158i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.54306 | − | 1.29478i | −0.0927134 | − | 0.0777958i | 0.595253 | − | 0.803538i | \(-0.297052\pi\) |
−0.687966 | + | 0.725743i | \(0.741496\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 5.27763 | − | 10.9832i | 0.315963 | − | 0.657550i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.06067 | − | 0.716005i | −0.242239 | − | 0.0427133i | 0.0512103 | − | 0.998688i | \(-0.483692\pi\) |
−0.293449 | + | 0.955975i | \(0.594803\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.21065 | − | 6.07372i | 0.131410 | − | 0.361045i | −0.856485 | − | 0.516172i | \(-0.827356\pi\) |
0.987895 | + | 0.155127i | \(0.0495787\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −8.60798 | + | 6.52612i | −0.509893 | + | 0.386574i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.0524195 | + | 0.0907933i | 0.00309423 | + | 0.00535936i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.10668 | − | 1.91683i | 0.0650990 | − | 0.112755i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 20.1073 | + | 18.6408i | 1.17871 | + | 1.09274i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −19.8278 | − | 23.6299i | −1.15835 | − | 1.38047i | −0.911439 | − | 0.411435i | \(-0.865028\pi\) |
−0.246915 | − | 0.969037i | \(-0.579417\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.62318 | + | 9.95459i | 0.210949 | + | 0.579579i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −8.44652 | + | 25.2476i | −0.490117 | + | 1.46501i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −21.8392 | + | 7.94881i | −1.26299 | + | 0.459691i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.00726669 | + | 0.00609748i | −0.000418845 | + | 0.000351453i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.30246 | − | 13.9270i | −0.247170 | − | 0.800084i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.10540 | − | 3.52495i | −0.349594 | − | 0.201838i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −27.5367 | + | 15.8983i | −1.57160 | + | 0.907364i | −0.575628 | + | 0.817712i | \(0.695242\pi\) |
−0.995973 | + | 0.0896520i | \(0.971425\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.626622 | − | 1.48831i | 0.0356473 | − | 0.0846670i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −13.5550 | − | 4.93361i | −0.768633 | − | 0.279759i | −0.0722083 | − | 0.997390i | \(-0.523005\pi\) |
−0.696424 | + | 0.717630i | \(0.745227\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.513567 | − | 2.91258i | 0.0290285 | − | 0.164629i | −0.966847 | − | 0.255355i | \(-0.917808\pi\) |
0.995876 | + | 0.0907261i | \(0.0289188\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.235391 | + | 0.0233501i | 0.0132628 | + | 0.00131563i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −14.9386 | + | 17.8031i | −0.839035 | + | 0.999923i | 0.160881 | + | 0.986974i | \(0.448567\pi\) |
−0.999916 | + | 0.0129495i | \(0.995878\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −19.2307 | + | 3.39089i | −1.07671 | + | 0.189853i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 10.6092 | − | 16.4418i | 0.592148 | − | 0.917690i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 25.1404 | 1.39885 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 21.5981 | 1.19805 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 7.33351 | − | 11.3652i | 0.405544 | − | 0.628498i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.397247 | − | 0.0700454i | 0.0219010 | − | 0.00386173i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.74589 | + | 5.65593i | −0.260857 | + | 0.310878i | −0.880537 | − | 0.473977i | \(-0.842818\pi\) |
0.619680 | + | 0.784855i | \(0.287262\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.01051 | + | 5.58842i | −0.219775 | + | 0.306243i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −1.26134 | + | 7.15344i | −0.0689146 | + | 0.390834i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.45078 | + | 3.07583i | 0.460343 | + | 0.167551i | 0.561773 | − | 0.827292i | \(-0.310119\pi\) |
−0.101430 | + | 0.994843i | \(0.532342\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −5.52690 | + | 13.1271i | −0.300180 | + | 0.712967i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 18.0230 | − | 10.4056i | 0.975997 | − | 0.563492i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.878838 | + | 0.507397i | 0.0474528 | + | 0.0273969i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.28367 | + | 7.39219i | 0.122949 | + | 0.397982i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −11.3234 | + | 9.50146i | −0.607872 | + | 0.510065i | −0.893965 | − | 0.448137i | \(-0.852088\pi\) |
0.286093 | + | 0.958202i | \(0.407643\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.57893 | − | 2.39453i | 0.352162 | − | 0.128176i | −0.159881 | − | 0.987136i | \(-0.551111\pi\) |
0.512043 | + | 0.858960i | \(0.328889\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 25.8354 | + | 14.0261i | 1.37899 | + | 0.748656i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −3.61218 | − | 9.92437i | −0.192257 | − | 0.528221i | 0.805685 | − | 0.592344i | \(-0.201797\pi\) |
−0.997942 | + | 0.0641228i | \(0.979575\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.86095 | + | 5.79306i | 0.257993 | + | 0.307464i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.403723 | − | 0.374277i | −0.0213673 | − | 0.0198089i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −12.6210 | + | 21.8603i | −0.666112 | + | 1.15374i | 0.312871 | + | 0.949796i | \(0.398709\pi\) |
−0.978983 | + | 0.203944i | \(0.934624\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.94788 | + | 12.0341i | 0.365678 | + | 0.633373i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −21.0502 | + | 15.9591i | −1.10485 | + | 0.837637i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.06133 | + | 5.66345i | −0.107895 | + | 0.296439i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.2545 | + | 1.98448i | 0.587483 | + | 0.103589i | 0.459485 | − | 0.888185i | \(-0.348034\pi\) |
0.127997 | + | 0.991774i | \(0.459145\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.32501 | − | 0.327854i | 0.225151 | − | 0.0170674i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.581825 | + | 0.488209i | 0.0302068 | + | 0.0253465i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.86274 | + | 16.2354i | 0.148227 | + | 0.840639i | 0.964719 | + | 0.263282i | \(0.0848048\pi\) |
−0.816492 | + | 0.577357i | \(0.804084\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.820664 | − | 16.5868i | 0.0423789 | − | 0.856537i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 21.5622i | 1.11051i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.7412i | 0.808572i | 0.914633 | + | 0.404286i | \(0.132480\pi\) | ||||
−0.914633 | + | 0.404286i | \(0.867520\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.72703 | − | 3.96561i | 0.395868 | − | 0.203164i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −5.45535 | − | 30.9388i | −0.278756 | − | 1.58090i | −0.726774 | − | 0.686877i | \(-0.758981\pi\) |
0.448018 | − | 0.894024i | \(-0.352130\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.309474 | + | 0.259679i | 0.0157722 | + | 0.0132345i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.0971683 | + | 0.380237i | 0.00493934 | + | 0.0193285i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 10.4122 | + | 1.83595i | 0.527918 | + | 0.0930862i | 0.431253 | − | 0.902231i | \(-0.358071\pi\) |
0.0966646 | + | 0.995317i | \(0.469183\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.15855 | − | 16.9205i | 0.311451 | − | 0.855705i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.550001 | + | 4.37366i | 0.0277439 | + | 0.220622i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.68863 | − | 13.3171i | −0.386857 | − | 0.670056i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.12129 | − | 3.67419i | 0.106465 | − | 0.184402i | −0.807871 | − | 0.589359i | \(-0.799380\pi\) |
0.914336 | + | 0.404957i | \(0.132714\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.159991 | − | 0.702358i | 0.00800957 | − | 0.0351619i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 17.6057 | + | 20.9817i | 0.879189 | + | 1.04778i | 0.998491 | + | 0.0549188i | \(0.0174900\pi\) |
−0.119302 | + | 0.992858i | \(0.538066\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.85954 | − | 21.5939i | −0.391512 | − | 1.07567i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 5.08862 | − | 8.35943i | 0.252856 | − | 0.415384i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −11.0392 | + | 4.01794i | −0.547193 | + | 0.199162i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.397716 | − | 0.333723i | 0.0196658 | − | 0.0165016i | −0.632902 | − | 0.774232i | \(-0.718136\pi\) |
0.652568 | + | 0.757731i | \(0.273692\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −17.0127 | − | 3.87535i | −0.839176 | − | 0.191157i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.611786 | − | 0.353215i | −0.0301040 | − | 0.0173806i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.78385 | + | 2.18461i | −0.185742 | + | 0.107238i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −5.82185 | + | 0.732114i | −0.285097 | + | 0.0358518i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 11.8567 | + | 4.31547i | 0.579236 | + | 0.210825i | 0.614988 | − | 0.788536i | \(-0.289161\pi\) |
−0.0357528 | + | 0.999361i | \(0.511383\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.43676 | + | 13.8196i | −0.118760 | + | 0.673524i | 0.866059 | + | 0.499942i | \(0.166645\pi\) |
−0.984819 | + | 0.173582i | \(0.944466\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 4.50611 | − | 16.0686i | 0.219095 | − | 0.781284i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −10.7562 | + | 12.8188i | −0.521754 | + | 0.621802i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.462984 | − | 0.0816366i | 0.0224054 | − | 0.00395067i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 22.9240 | + | 44.6676i | 1.10678 | + | 2.15657i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.28837 | 0.206564 | 0.103282 | − | 0.994652i | \(-0.467066\pi\) | ||||
0.103282 | + | 0.994652i | \(0.467066\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.60769 | 0.269488 | 0.134744 | − | 0.990880i | \(-0.456979\pi\) | ||||
0.134744 | + | 0.990880i | \(0.456979\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 7.16934 | + | 0.354718i | 0.343744 | + | 0.0170074i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 23.2031 | − | 4.09133i | 1.10996 | − | 0.195715i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.51341 | + | 5.37887i | −0.215413 | + | 0.256719i | −0.862920 | − | 0.505340i | \(-0.831367\pi\) |
0.647507 | + | 0.762059i | \(0.275812\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 17.3278 | − | 11.8357i | 0.825134 | − | 0.563606i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 5.26637 | − | 29.8670i | 0.250213 | − | 1.41903i | −0.557856 | − | 0.829938i | \(-0.688376\pi\) |
0.808069 | − | 0.589088i | \(-0.200513\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −17.0547 | − | 6.20742i | −0.808472 | − | 0.294260i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 21.9444 | + | 28.9447i | 1.03793 | + | 1.36904i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 24.7669 | − | 14.2991i | 1.16882 | − | 0.674819i | 0.215418 | − | 0.976522i | \(-0.430889\pi\) |
0.953402 | + | 0.301703i | \(0.0975552\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.41528 | + | 3.70386i | 0.302084 | + | 0.174408i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −24.2196 | + | 26.1250i | −1.13793 | + | 1.22746i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.341723 | − | 0.286740i | 0.0160202 | − | 0.0134426i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.676715 | + | 0.246304i | −0.0316554 | + | 0.0115216i | −0.357799 | − | 0.933799i | \(-0.616473\pi\) |
0.326144 | + | 0.945320i | \(0.394251\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −21.1911 | + | 8.34846i | −0.989117 | + | 0.389673i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.907267 | + | 2.49269i | 0.0422556 | + | 0.116096i | 0.959026 | − | 0.283319i | \(-0.0914354\pi\) |
−0.916770 | + | 0.399415i | \(0.869213\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.24403 | + | 7.44135i | 0.290185 | + | 0.345829i | 0.891366 | − | 0.453284i | \(-0.149748\pi\) |
−0.601181 | + | 0.799113i | \(0.705303\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −7.30918 | + | 2.25802i | −0.338955 | + | 0.104713i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −9.87482 | + | 17.1037i | −0.456952 | + | 0.791464i | −0.998798 | − | 0.0490137i | \(-0.984392\pi\) |
0.541846 | + | 0.840478i | \(0.317726\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.242195 | − | 0.419494i | −0.0111835 | − | 0.0193704i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −39.3855 | − | 16.5824i | −1.81479 | − | 0.764078i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.229243 | + | 0.629840i | −0.0105406 | + | 0.0289601i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −21.5631 | − | 3.80216i | −0.989385 | − | 0.174455i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 28.6310 | − | 12.9485i | 1.31093 | − | 0.592869i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 15.2243 | + | 12.7747i | 0.695616 | + | 0.583691i | 0.920523 | − | 0.390689i | \(-0.127763\pi\) |
−0.224906 | + | 0.974380i | \(0.572208\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.25254 | + | 12.7748i | 0.102707 | + | 0.582480i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.433523 | − | 0.279735i | −0.0197260 | − | 0.0127284i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 17.2134i | − | 0.781621i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.34369i | 0.151517i | 0.997126 | + | 0.0757584i | \(0.0241378\pi\) | ||||
−0.997126 | + | 0.0757584i | \(0.975862\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 17.7829 | + | 11.4746i | 0.804169 | + | 0.518897i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.46183 | + | 36.6468i | 0.291618 | + | 1.65385i | 0.680638 | + | 0.732620i | \(0.261703\pi\) |
−0.389020 | + | 0.921229i | \(0.627186\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −12.7975 | − | 10.7383i | −0.576368 | − | 0.483630i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 15.2289 | − | 6.88731i | 0.684489 | − | 0.309562i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.496634 | − | 0.0875700i | −0.0222771 | − | 0.00392805i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.25828 | + | 17.1945i | −0.280159 | + | 0.769731i | 0.717184 | + | 0.696884i | \(0.245431\pi\) |
−0.997343 | + | 0.0728472i | \(0.976791\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −6.18956 | − | 2.60599i | −0.276529 | − | 0.116427i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −19.9327 | − | 34.5244i | −0.888754 | − | 1.53937i | −0.841350 | − | 0.540491i | \(-0.818239\pi\) |
−0.0474040 | − | 0.998876i | \(-0.515095\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.57554 | + | 7.92506i | −0.203609 | + | 0.352661i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 31.4550 | − | 9.71740i | 1.39697 | − | 0.431565i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0.228853 | + | 0.272736i | 0.0101437 | + | 0.0120888i | 0.771092 | − | 0.636723i | \(-0.219711\pi\) |
−0.760949 | + | 0.648812i | \(0.775266\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.137461 | − | 0.377670i | −0.00608091 | − | 0.0167072i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −23.3244 | − | 18.5515i | −1.02980 | − | 0.819067i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −0.952659 | + | 0.346739i | −0.0419792 | + | 0.0152792i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 21.8336 | − | 18.3206i | 0.960241 | − | 0.805738i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −18.4239 | + | 19.8734i | −0.808720 | + | 0.872344i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −23.3668 | − | 13.4908i | −1.02372 | − | 0.591044i | −0.108539 | − | 0.994092i | \(-0.534617\pi\) |
−0.915179 | + | 0.403049i | \(0.867951\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 24.8958 | − | 14.3736i | 1.08862 | − | 0.628513i | 0.155408 | − | 0.987850i | \(-0.450331\pi\) |
0.933208 | + | 0.359337i | \(0.116997\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.289672 | + | 0.382079i | 0.0126423 | + | 0.0166753i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 16.7305 | + | 6.08939i | 0.728790 | + | 0.265258i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.06356 | + | 6.03172i | −0.0462415 | + | 0.262249i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −24.1339 | + | 16.4846i | −1.04732 | + | 0.715373i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 5.25778 | − | 6.26598i | 0.227740 | − | 0.271410i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.0978 | + | 2.13318i | −0.523035 | + | 0.0922253i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −20.8725 | − | 1.03271i | −0.900713 | − | 0.0445646i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 35.8382 | 1.54366 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.2500 | −0.913608 | −0.456804 | − | 0.889567i | \(-0.651006\pi\) | ||||
−0.456804 | + | 0.889567i | \(0.651006\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −16.0131 | − | 31.2016i | −0.687186 | − | 1.33899i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −8.36252 | + | 1.47454i | −0.358211 | + | 0.0631622i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.82124 | − | 10.5127i | 0.377169 | − | 0.449492i | −0.543750 | − | 0.839247i | \(-0.682996\pi\) |
0.920919 | + | 0.389755i | \(0.127440\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 5.25179 | − | 18.7277i | 0.224141 | − | 0.799279i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.79584 | − | 21.5273i | 0.161708 | − | 0.917093i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.963599 | + | 0.350721i | 0.0409764 | + | 0.0149142i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.28461 | − | 0.538803i | 0.181872 | − | 0.0228709i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −29.8867 | + | 17.2551i | −1.26634 | + | 0.731121i | −0.974293 | − | 0.225283i | \(-0.927669\pi\) |
−0.292046 | + | 0.956404i | \(0.594336\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.640952 | + | 0.370054i | 0.0271094 | + | 0.0156516i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −37.9274 | − | 8.63952i | −1.60129 | − | 0.364761i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 7.90869 | − | 6.63618i | 0.333312 | − | 0.279682i | −0.460736 | − | 0.887537i | \(-0.652414\pi\) |
0.794048 | + | 0.607856i | \(0.207970\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.40260 | − | 3.05830i | 0.353500 | − | 0.128663i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.0983763 | + | 0.645156i | 0.00413142 | + | 0.0270940i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 10.3576 | + | 28.4573i | 0.434214 | + | 1.19299i | 0.943202 | + | 0.332219i | \(0.107797\pi\) |
−0.508989 | + | 0.860773i | \(0.669981\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 23.6804 | + | 28.2212i | 0.990992 | + | 1.18102i | 0.983475 | + | 0.181047i | \(0.0579485\pi\) |
0.00751760 | + | 0.999972i | \(0.497607\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 9.64751 | − | 42.3524i | 0.403030 | − | 1.76930i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −7.84125 | + | 13.5815i | −0.327003 | + | 0.566386i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.46070 | + | 9.45821i | 0.227332 | + | 0.393750i | 0.957016 | − | 0.290034i | \(-0.0936665\pi\) |
−0.729685 | + | 0.683784i | \(0.760333\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 3.21044 | + | 25.5298i | 0.133421 | + | 1.06098i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.0996522 | − | 0.273792i | 0.00413427 | − | 0.0113588i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 52.8508 | + | 9.31902i | 2.18886 | + | 0.385954i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −4.56943 | − | 17.8810i | −0.188923 | − | 0.739288i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −25.8588 | − | 21.6981i | −1.06730 | − | 0.895575i | −0.0724993 | − | 0.997368i | \(-0.523098\pi\) |
−0.994806 | + | 0.101793i | \(0.967542\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.04539 | + | 22.9425i | 0.166687 | + | 0.945331i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −25.6195 | + | 13.1483i | −1.05385 | + | 0.540847i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 1.65720i | 0.0680529i | 0.999421 | + | 0.0340265i | \(0.0108330\pi\) | ||||
−0.999421 | + | 0.0340265i | \(0.989167\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.345618i | 0.0141690i | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.74845 | − | 35.3385i | 0.0715591 | − | 1.44631i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.97543 | − | 16.8745i | −0.121573 | − | 0.689474i | −0.983285 | − | 0.182076i | \(-0.941718\pi\) |
0.861712 | − | 0.507398i | \(-0.169393\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −24.6454 | − | 20.6799i | −1.00531 | − | 0.843552i | −0.0175950 | − | 0.999845i | \(-0.505601\pi\) |
−0.987711 | + | 0.156294i | \(0.950045\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −19.9829 | + | 1.51479i | −0.813767 | + | 0.0616870i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 16.3320 | + | 2.87977i | 0.663990 | + | 0.117079i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.5382 | + | 31.7008i | −0.468319 | + | 1.28670i | 0.450768 | + | 0.892641i | \(0.351150\pi\) |
−0.919087 | + | 0.394055i | \(0.871072\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.381444 | + | 0.289191i | −0.0154569 | + | 0.0117186i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −15.7359 | − | 27.2554i | −0.636606 | − | 1.10263i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −21.7069 | + | 37.5975i | −0.876734 | + | 1.51855i | −0.0218308 | + | 0.999762i | \(0.506949\pi\) |
−0.854904 | + | 0.518787i | \(0.826384\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −1.99692 | − | 1.85127i | −0.0805235 | − | 0.0746505i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.65341 | − | 5.54572i | −0.187339 | − | 0.223262i | 0.664198 | − | 0.747557i | \(-0.268773\pi\) |
−0.851537 | + | 0.524295i | \(0.824329\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.37729 | + | 23.0164i | 0.336712 | + | 0.925108i | 0.986320 | + | 0.164839i | \(0.0527105\pi\) |
−0.649609 | + | 0.760269i | \(0.725067\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −18.1996 | + | 11.1538i | −0.730324 | + | 0.447586i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.13730 | − | 0.413945i | 0.0455651 | − | 0.0165844i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.63556 | − | 5.56789i | 0.265422 | − | 0.222716i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −15.0235 | − | 48.6308i | −0.599982 | − | 1.94213i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −8.70380 | − | 5.02514i | −0.347043 | − | 0.200365i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.68103 | − | 5.58935i | 0.385396 | − | 0.222508i | −0.294768 | − | 0.955569i | \(-0.595242\pi\) |
0.680163 | + | 0.733061i | \(0.261909\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 12.0640 | − | 28.6535i | 0.479499 | − | 1.13887i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −5.12375 | − | 1.86489i | −0.203330 | − | 0.0740060i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.87175 | − | 38.9716i | 0.272269 | − | 1.54411i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −12.1645 | + | 16.9506i | −0.481222 | + | 0.670554i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −7.72355 | + | 9.20457i | −0.305062 | + | 0.363559i | −0.896695 | − | 0.442649i | \(-0.854039\pi\) |
0.591633 | + | 0.806207i | \(0.298483\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.71839 | − | 1.36096i | 0.304384 | − | 0.0536711i | −0.0193702 | − | 0.999812i | \(-0.506166\pi\) |
0.323754 | + | 0.946141i | \(0.395055\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.133586 | − | 0.207026i | 0.00525992 | − | 0.00815164i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 44.0555 | 1.73200 | 0.866000 | − | 0.500044i | \(-0.166683\pi\) | ||||
0.866000 | + | 0.500044i | \(0.166683\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −49.9150 | −1.95933 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.276593 | − | 0.428654i | 0.0108405 | − | 0.0168003i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 39.0561 | − | 6.88664i | 1.52838 | − | 0.269495i | 0.654661 | − | 0.755923i | \(-0.272811\pi\) |
0.873721 | + | 0.486428i | \(0.161700\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.77886 | − | 2.11996i | 0.0695057 | − | 0.0828336i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −16.5466 | − | 1.64137i | −0.645544 | − | 0.0640360i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.66439 | − | 9.43924i | 0.0648355 | − | 0.367701i | −0.935077 | − | 0.354446i | \(-0.884670\pi\) |
0.999912 | − | 0.0132549i | \(-0.00421930\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.0924 | − | 3.67332i | −0.392547 | − | 0.142876i | 0.138203 | − | 0.990404i | \(-0.455867\pi\) |
−0.530750 | + | 0.847528i | \(0.678090\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −16.6672 | + | 39.5868i | −0.647301 | + | 1.53742i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.391648 | + | 0.226118i | −0.0151874 | + | 0.00876847i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −13.5589 | − | 7.82821i | −0.525001 | − | 0.303110i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.154220 | + | 0.499208i | 0.00596250 | + | 0.0193005i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 25.4467 | − | 21.3523i | 0.982357 | − | 0.824296i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.534095 | + | 0.194395i | −0.0205878 | + | 0.00749336i | −0.352294 | − | 0.935890i | \(-0.614598\pi\) |
0.331706 | + | 0.943383i | \(0.392376\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 19.4384 | − | 3.95566i | 0.748186 | − | 0.152254i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 2.40412 | + | 6.60528i | 0.0923980 | + | 0.253861i | 0.977279 | − | 0.211955i | \(-0.0679830\pi\) |
−0.884881 | + | 0.465816i | \(0.845761\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.737846 | + | 0.879331i | 0.0283159 | + | 0.0337456i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 25.9859 | + | 24.0906i | 0.995781 | + | 0.923153i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 24.1061 | − | 41.7529i | 0.922393 | − | 1.59763i | 0.126693 | − | 0.991942i | \(-0.459564\pi\) |
0.795701 | − | 0.605690i | \(-0.207103\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.47709 | + | 9.48660i | 0.209269 | + | 0.362464i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 9.28220 | − | 7.03728i | 0.354138 | − | 0.268489i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 20.2676 | − | 55.6847i | 0.772134 | − | 2.12142i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.0430 | + | 3.71046i | 0.800515 | + | 0.141152i | 0.558917 | − | 0.829224i | \(-0.311217\pi\) |
0.241599 | + | 0.970376i | \(0.422328\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.482733 | + | 1.00461i | −0.0183375 | + | 0.0381621i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.82191 | + | 2.36786i | 0.107041 | + | 0.0898182i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.10048 | + | 6.24113i | 0.0416836 | + | 0.236400i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.495119 | − | 10.0070i | 0.0187271 | − | 0.378501i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 12.4157i | − | 0.468935i | −0.972124 | − | 0.234468i | \(-0.924665\pi\) | ||
0.972124 | − | 0.234468i | \(-0.0753347\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 13.1506i | − | 0.495985i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −9.32117 | + | 4.78375i | −0.351056 | + | 0.180166i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.105968 | − | 0.600973i | −0.00398533 | − | 0.0226019i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.976912 | − | 0.819726i | −0.0366887 | − | 0.0307855i | 0.624259 | − | 0.781218i | \(-0.285401\pi\) |
−0.660948 | + | 0.750432i | \(0.729845\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 30.3449 | − | 29.6486i | 1.13802 | − | 1.11191i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 16.4322 | + | 2.89745i | 0.615392 | + | 0.108510i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.7804 | − | 29.6188i | 0.403163 | − | 1.10768i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.543449 | − | 4.32157i | −0.0202955 | − | 0.161392i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −14.5684 | − | 25.2332i | −0.543310 | − | 0.941041i | −0.998711 | − | 0.0507546i | \(-0.983837\pi\) |
0.455401 | − | 0.890287i | \(-0.349496\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.0338028 | − | 0.0585482i | 0.00125888 | − | 0.00218045i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.350368 | − | 1.53811i | 0.0130303 | − | 0.0572030i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 9.35246 | + | 11.1458i | 0.347342 | + | 0.413946i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.73821 | + | 7.52317i | 0.101555 | + | 0.279019i | 0.980056 | − | 0.198720i | \(-0.0636786\pi\) |
−0.878502 | + | 0.477739i | \(0.841456\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.8209 | + | 7.89182i | 0.956330 | + | 0.292290i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.538836 | + | 0.196120i | −0.0199296 | + | 0.00725378i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.12619 | − | 1.78409i | 0.0785326 | − | 0.0658967i | −0.602676 | − | 0.797986i | \(-0.705899\pi\) |
0.681209 | + | 0.732089i | \(0.261455\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −12.8449 | − | 2.92595i | −0.473790 | − | 0.107925i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −29.6406 | − | 17.1130i | −1.09183 | − | 0.630367i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −22.0458 | + | 12.7281i | −0.810967 | + | 0.468212i | −0.847292 | − | 0.531128i | \(-0.821768\pi\) |
0.0363245 | + | 0.999340i | \(0.488435\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −55.7634 | + | 7.01240i | −2.04852 | + | 0.257607i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.02834 | + | 0.738257i | 0.0744127 | + | 0.0270840i | 0.378958 | − | 0.925414i | \(-0.376282\pi\) |
−0.304546 | + | 0.952498i | \(0.598505\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.95979 | − | 22.4571i | 0.145075 | − | 0.822764i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −8.42420 | − | 8.62206i | −0.308225 | − | 0.315465i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.526569 | − | 0.627541i | 0.0192404 | − | 0.0229298i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.26718 | + | 0.576092i | −0.119221 | + | 0.0210219i | −0.232940 | − | 0.972491i | \(-0.574835\pi\) |
0.113719 | + | 0.993513i | \(0.463724\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 15.5875 | + | 30.3724i | 0.568040 | + | 1.10683i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 22.3650 | 0.813947 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −21.4846 | −0.780869 | −0.390435 | − | 0.920631i | \(-0.627675\pi\) | ||||
−0.390435 | + | 0.920631i | \(0.627675\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −36.4108 | − | 1.80150i | −1.32163 | − | 0.0653901i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.57062 | + | 1.15858i | −0.238185 | + | 0.0419984i | −0.291466 | − | 0.956581i | \(-0.594143\pi\) |
0.0532815 | + | 0.998580i | \(0.483032\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.363986 | − | 0.433781i | 0.0131772 | − | 0.0157039i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 12.8883 | + | 6.19301i | 0.465976 | + | 0.223909i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −9.57087 | + | 54.2791i | −0.345584 | + | 1.95991i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 37.8560 | + | 13.7784i | 1.36512 | + | 0.496863i | 0.917634 | − | 0.397427i | \(-0.130097\pi\) |
0.447487 | + | 0.894290i | \(0.352319\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.7723 | − | 15.5278i | −0.423970 | − | 0.559219i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 15.8074 | − | 9.12640i | 0.568552 | − | 0.328254i | −0.188019 | − | 0.982165i | \(-0.560207\pi\) |
0.756571 | + | 0.653912i | \(0.226873\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.4289 | − | 7.75320i | −0.482382 | − | 0.278503i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.195780 | + | 0.211183i | −0.00702357 | + | 0.00757613i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −6.35234 | + | 5.33025i | −0.227596 | + | 0.190976i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −33.4837 | + | 12.1871i | −1.19814 | + | 0.436087i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.94909 | + | 19.4061i | 0.141129 | + | 0.693518i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 9.17584 | + | 25.2104i | 0.327500 | + | 0.899798i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 12.4720 | + | 14.8636i | 0.444580 | + | 0.529830i | 0.941070 | − | 0.338213i | \(-0.109822\pi\) |
−0.496490 | + | 0.868043i | \(0.665378\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 17.4608 | − | 5.39418i | 0.621622 | − | 0.192038i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.298146 | + | 0.516404i | −0.0106009 | + | 0.0183612i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −18.3399 | − | 31.7656i | −0.651269 | − | 1.12803i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −18.1815 | − | 7.65495i | −0.644832 | − | 0.271493i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −3.34972 | + | 9.20329i | −0.118653 | + | 0.325997i | −0.984774 | − | 0.173837i | \(-0.944383\pi\) |
0.866121 | + | 0.499834i | \(0.166606\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 24.0132 | + | 4.23417i | 0.849525 | + | 0.149794i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 4.94277 | − | 49.8279i | 0.174644 | − | 1.76058i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −21.7542 | − | 18.2539i | −0.767689 | − | 0.644167i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0562458 | + | 0.318986i | 0.00198240 | + | 0.0112428i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 42.1493 | + | 27.1973i | 1.48373 | + | 0.957389i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 25.9021i | 0.910671i | 0.890320 | + | 0.455336i | \(0.150481\pi\) | ||||
−0.890320 | + | 0.455336i | \(0.849519\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 28.6572i | 1.00629i | 0.864202 | + | 0.503145i | \(0.167824\pi\) | ||||
−0.864202 | + | 0.503145i | \(0.832176\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −43.0295 | − | 27.7652i | −1.50911 | − | 0.973767i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −2.30717 | − | 13.0846i | −0.0808166 | − | 0.458334i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.574769 | − | 0.482288i | −0.0201086 | − | 0.0168731i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.999887 | + | 0.717566i | 0.0349389 | + | 0.0250738i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −28.2292 | − | 4.97757i | −0.985205 | − | 0.173718i | −0.342239 | − | 0.939613i | \(-0.611185\pi\) |
−0.642966 | + | 0.765895i | \(0.722296\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.22536 | + | 19.8515i | −0.251860 | + | 0.691980i | 0.747748 | + | 0.663983i | \(0.231135\pi\) |
−0.999608 | + | 0.0279972i | \(0.991087\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 31.2240 | + | 13.1462i | 1.08708 | + | 0.457693i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −9.73569 | − | 16.8627i | −0.338543 | − | 0.586374i | 0.645616 | − | 0.763662i | \(-0.276601\pi\) |
−0.984159 | + | 0.177288i | \(0.943267\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −20.1430 | + | 34.8887i | −0.699595 | + | 1.21173i | 0.269012 | + | 0.963137i | \(0.413303\pi\) |
−0.968607 | + | 0.248597i | \(0.920031\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.33346 | + | 1.02981i | −0.115636 | + | 0.0357236i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 19.7079 | + | 23.4870i | 0.682839 | + | 0.813776i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.44201 | + | 3.96190i | 0.0499030 | + | 0.137107i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −11.0285 | − | 17.9952i | −0.381202 | − | 0.622005i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 23.3185 | − | 8.48725i | 0.805045 | − | 0.293012i | 0.0934694 | − | 0.995622i | \(-0.470204\pi\) |
0.711575 | + | 0.702610i | \(0.247982\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.0880 | − | 9.30393i | 0.382345 | − | 0.320825i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −4.85540 | + | 5.23739i | −0.167229 | + | 0.180385i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −17.8993 | − | 10.3342i | −0.615754 | − | 0.355506i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.957744 | + | 0.552954i | −0.0329085 | + | 0.0189997i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −6.76351 | − | 8.92110i | −0.232123 | − | 0.306171i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −8.85089 | − | 3.22146i | −0.303405 | − | 0.110430i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.33230 | + | 24.5697i | −0.148335 | + | 0.841250i | 0.816294 | + | 0.577637i | \(0.196025\pi\) |
−0.964629 | + | 0.263613i | \(0.915086\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.41424 | + | 18.6564i | 0.0483659 | + | 0.638037i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −20.1320 | + | 23.9924i | −0.687696 | + | 0.819564i | −0.991075 | − | 0.133306i | \(-0.957441\pi\) |
0.303379 | + | 0.952870i | \(0.401885\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 42.8494 | − | 7.55550i | 1.46200 | − | 0.257790i | 0.614640 | − | 0.788808i | \(-0.289301\pi\) |
0.847361 | + | 0.531017i | \(0.178190\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.181365 | + | 0.00897338i | 0.00618089 | + | 0.000305812i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −16.1195 | −0.548714 | −0.274357 | − | 0.961628i | \(-0.588465\pi\) | ||||
−0.274357 | + | 0.961628i | \(0.588465\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 17.0132 | 0.578465 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.75042 | − | 3.41072i | −0.0594475 | − | 0.115834i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 71.3549 | − | 12.5818i | 2.42055 | − | 0.426808i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −24.2926 | + | 28.9508i | −0.823125 | + | 0.980962i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 46.0118 | − | 11.7582i | 1.55727 | − | 0.397954i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.120730 | − | 0.684695i | 0.00408142 | − | 0.0231469i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 52.9396 | + | 19.2684i | 1.78764 | + | 0.650649i | 0.999376 | + | 0.0353144i | \(0.0112432\pi\) |
0.788266 | + | 0.615334i | \(0.210979\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −53.0104 | + | 6.66621i | −1.78800 | + | 0.224846i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 20.5381 | − | 11.8577i | 0.691946 | − | 0.399495i | −0.112394 | − | 0.993664i | \(-0.535852\pi\) |
0.804341 | + | 0.594168i | \(0.202519\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −11.3285 | − | 6.54053i | −0.381235 | − | 0.220106i | 0.297120 | − | 0.954840i | \(-0.403974\pi\) |
−0.678356 | + | 0.734734i | \(0.737307\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 17.8901 | + | 4.07521i | 0.601370 | + | 0.136987i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −25.2454 | + | 21.1834i | −0.847659 | + | 0.711270i | −0.959273 | − | 0.282482i | \(-0.908842\pi\) |
0.111614 | + | 0.993752i | \(0.464398\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.341680 | − | 0.124361i | 0.0114596 | − | 0.00417094i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 28.8125 | + | 36.0026i | 0.965257 | + | 1.20613i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 10.9123 | + | 29.9814i | 0.365168 | + | 1.00329i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.43321 | + | 10.0503i | 0.281891 | + | 0.335945i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −8.94052 | + | 39.2488i | −0.298515 | + | 1.31048i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 7.74030 | − | 13.4066i | 0.258154 | − | 0.447135i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 22.9560 | + | 39.7610i | 0.764776 | + | 1.32463i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.00205000 | + | 0.0163018i | 6.82198e−5 | + | 0.000542491i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −7.53040 | + | 20.6896i | −0.250319 | + | 0.687746i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −38.1995 | − | 6.73561i | −1.26839 | − | 0.223652i | −0.501349 | − | 0.865245i | \(-0.667163\pi\) |
−0.767045 | + | 0.641593i | \(0.778274\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −24.3093 | − | 6.81704i | −0.806290 | − | 0.226107i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −21.4658 | − | 18.0119i | −0.711192 | − | 0.596761i | 0.213741 | − | 0.976890i | \(-0.431435\pi\) |
−0.924933 | + | 0.380129i | \(0.875880\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.57493 | − | 20.2744i | −0.118313 | − | 0.670986i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −10.8636 | + | 5.57537i | −0.359141 | + | 0.184316i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.184546i | 0.00609425i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 1.63307i | − | 0.0538701i | −0.999637 | − | 0.0269351i | \(-0.991425\pi\) | ||
0.999637 | − | 0.0269351i | \(-0.00857473\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.72154 | + | 55.0061i | −0.0896776 | + | 1.81251i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 6.83231 | + | 38.7480i | 0.224888 | + | 1.27540i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.70535 | + | 5.62645i | 0.220470 | + | 0.184997i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −1.57759 | − | 2.30963i | −0.0518148 | − | 0.0758581i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −13.8733 | − | 2.44623i | −0.455167 | − | 0.0802582i | −0.0586356 | − | 0.998279i | \(-0.518675\pi\) |
−0.396531 | + | 0.918021i | \(0.629786\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −13.7212 | + | 37.6988i | −0.449695 | + | 1.23553i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −19.9096 | + | 15.0944i | −0.651812 | + | 0.494169i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 12.2104 | + | 21.1490i | 0.399322 | + | 0.691645i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 9.05418 | − | 15.6823i | 0.295787 | − | 0.512318i | −0.679381 | − | 0.733786i | \(-0.737751\pi\) |
0.975168 | + | 0.221468i | \(0.0710847\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −3.75660 | − | 3.48261i | −0.122592 | − | 0.113651i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.18751 | + | 6.18223i | 0.169108 | + | 0.201535i | 0.843942 | − | 0.536435i | \(-0.180229\pi\) |
−0.674834 | + | 0.737970i | \(0.735785\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.03136 | + | 5.58111i | 0.0661501 | + | 0.181746i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.255037 | − | 0.320653i | 0.00829635 | − | 0.0104309i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −3.27726 | + | 1.19283i | −0.106497 | + | 0.0387617i | −0.394719 | − | 0.918802i | \(-0.629158\pi\) |
0.288222 | + | 0.957564i | \(0.406936\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −24.0211 | + | 20.1561i | −0.779758 | + | 0.654295i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.8814 | + | 38.4600i | 0.385282 | + | 1.24715i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −44.9114 | − | 25.9296i | −1.45482 | − | 0.839942i | −0.456073 | − | 0.889942i | \(-0.650744\pi\) |
−0.998749 | + | 0.0500006i | \(0.984078\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −23.6165 | + | 13.6350i | −0.764210 | + | 0.441217i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −13.1244 | + | 31.1721i | −0.424251 | + | 1.00765i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −0.686431 | − | 0.249841i | −0.0221660 | − | 0.00806777i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.51819 | − | 14.2813i | 0.0812318 | − | 0.460688i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −13.9659 | − | 30.8807i | −0.450044 | − | 0.995116i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 10.3835 | − | 12.3745i | 0.334256 | − | 0.398350i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −51.8699 | + | 9.14607i | −1.66802 | + | 0.294118i | −0.926356 | − | 0.376649i | \(-0.877076\pi\) |
−0.741669 | + | 0.670766i | \(0.765965\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 23.6091 | − | 36.5886i | 0.758434 | − | 1.17539i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 32.1045 | 1.03028 | 0.515142 | − | 0.857105i | \(-0.327739\pi\) | ||||
0.515142 | + | 0.857105i | \(0.327739\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.245652 | −0.00787525 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 20.2826 | − | 31.4333i | 0.649564 | − | 1.00667i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −23.4436 | + | 4.13374i | −0.750028 | + | 0.132250i | −0.535579 | − | 0.844485i | \(-0.679907\pi\) |
−0.214449 | + | 0.976735i | \(0.568796\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 54.9693 | − | 65.5099i | 1.75683 | − | 2.09370i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −9.65377 | − | 21.3460i | −0.308221 | − | 0.681524i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −0.141641 | + | 0.803287i | −0.00451765 | + | 0.0256209i | −0.986983 | − | 0.160823i | \(-0.948585\pi\) |
0.982466 | + | 0.186444i | \(0.0596963\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 16.9881 | + | 6.18318i | 0.541287 | + | 0.197012i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.271110 | − | 0.643921i | 0.00862952 | − | 0.0204962i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.465398 | + | 0.268698i | −0.0147988 | + | 0.00854410i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.2917 | + | 12.2928i | 0.676353 | + | 0.390492i | 0.798479 | − | 0.602022i | \(-0.205638\pi\) |
−0.122127 | + | 0.992515i | \(0.538971\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 3.77465 | + | 12.2185i | 0.119785 | + | 0.387741i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −17.0159 | + | 14.2780i | −0.539440 | + | 0.452644i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 28.0212 | − | 10.1989i | 0.887440 | − | 0.323002i | 0.142232 | − | 0.989833i | \(-0.454572\pi\) |
0.745208 | + | 0.666832i | \(0.232350\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.36698 | + | 11.0848i | 0.138165 | + | 0.350708i |
(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 | 432.2.be.c.47.4 | yes | 36 | |
4.3 | odd | 2 | 432.2.be.b.47.3 | ✓ | 36 | ||
27.23 | odd | 18 | 432.2.be.b.239.3 | yes | 36 | ||
108.23 | even | 18 | inner | 432.2.be.c.239.4 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.be.b.47.3 | ✓ | 36 | 4.3 | odd | 2 | ||
432.2.be.b.239.3 | yes | 36 | 27.23 | odd | 18 | ||
432.2.be.c.47.4 | yes | 36 | 1.1 | even | 1 | trivial | |
432.2.be.c.239.4 | yes | 36 | 108.23 | even | 18 | inner |