Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.71 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.71 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.03047 | − | 0.968568i | 0.728655 | − | 0.684881i | ||||
\(3\) | 1.63705 | − | 0.565742i | 0.945152 | − | 0.326631i | ||||
\(4\) | 0.123751 | − | 1.99617i | 0.0618755 | − | 0.998084i | ||||
\(5\) | −0.289353 | − | 0.329944i | −0.129403 | − | 0.147555i | 0.683510 | − | 0.729941i | \(-0.260453\pi\) |
−0.812912 | + | 0.582386i | \(0.802119\pi\) | |||||||
\(6\) | 1.13898 | − | 2.16858i | 0.464986 | − | 0.885318i | ||||
\(7\) | −0.132159 | − | 0.0173990i | −0.0499512 | − | 0.00657621i | 0.105509 | − | 0.994418i | \(-0.466353\pi\) |
−0.155460 | + | 0.987842i | \(0.549686\pi\) | |||||||
\(8\) | −1.80590 | − | 2.17686i | −0.638483 | − | 0.769636i | ||||
\(9\) | 2.35987 | − | 1.85230i | 0.786624 | − | 0.617432i | ||||
\(10\) | −0.617744 | − | 0.0597403i | −0.195348 | − | 0.0188915i | ||||
\(11\) | −2.45699 | − | 4.98228i | −0.740811 | − | 1.50222i | −0.860526 | − | 0.509407i | \(-0.829865\pi\) |
0.119715 | − | 0.992808i | \(-0.461802\pi\) | |||||||
\(12\) | −0.926730 | − | 3.33784i | −0.267524 | − | 0.963551i | ||||
\(13\) | 1.43540 | + | 4.22854i | 0.398107 | + | 1.17279i | 0.942572 | + | 0.334002i | \(0.108399\pi\) |
−0.544465 | + | 0.838783i | \(0.683267\pi\) | |||||||
\(14\) | −0.153038 | + | 0.110075i | −0.0409011 | + | 0.0294189i | ||||
\(15\) | −0.660349 | − | 0.376436i | −0.170501 | − | 0.0971953i | ||||
\(16\) | −3.96937 | − | 0.494055i | −0.992343 | − | 0.123514i | ||||
\(17\) | 0.861641 | + | 0.861641i | 0.208979 | + | 0.208979i | 0.803833 | − | 0.594855i | \(-0.202790\pi\) |
−0.594855 | + | 0.803833i | \(0.702790\pi\) | |||||||
\(18\) | 0.637708 | − | 4.19444i | 0.150309 | − | 0.988639i | ||||
\(19\) | −1.11562 | + | 5.60861i | −0.255941 | + | 1.28670i | 0.612326 | + | 0.790605i | \(0.290234\pi\) |
−0.868267 | + | 0.496097i | \(0.834766\pi\) | |||||||
\(20\) | −0.694431 | + | 0.536766i | −0.155280 | + | 0.120025i | ||||
\(21\) | −0.226194 | + | 0.0462846i | −0.0493595 | + | 0.0101001i | ||||
\(22\) | −7.35755 | − | 2.75435i | −1.56863 | − | 0.587229i | ||||
\(23\) | 0.478102 | + | 3.63155i | 0.0996912 | + | 0.757230i | 0.966150 | + | 0.257981i | \(0.0830572\pi\) |
−0.866459 | + | 0.499249i | \(0.833609\pi\) | |||||||
\(24\) | −4.18790 | − | 2.54195i | −0.854851 | − | 0.518874i | ||||
\(25\) | 0.627493 | − | 4.76628i | 0.125499 | − | 0.953257i | ||||
\(26\) | 5.57476 | + | 2.96712i | 1.09330 | + | 0.581900i | ||||
\(27\) | 2.81531 | − | 4.36738i | 0.541806 | − | 0.840503i | ||||
\(28\) | −0.0510861 | + | 0.261658i | −0.00965436 | + | 0.0494486i | ||||
\(29\) | 5.16048 | − | 0.338235i | 0.958276 | − | 0.0628087i | 0.421768 | − | 0.906704i | \(-0.361410\pi\) |
0.536508 | + | 0.843895i | \(0.319743\pi\) | |||||||
\(30\) | −1.04508 | + | 0.251686i | −0.190804 | + | 0.0459514i | ||||
\(31\) | 6.68600 | − | 3.86017i | 1.20084 | − | 0.693306i | 0.240099 | − | 0.970748i | \(-0.422820\pi\) |
0.960742 | + | 0.277442i | \(0.0894867\pi\) | |||||||
\(32\) | −4.56886 | + | 3.33550i | −0.807668 | + | 0.589638i | ||||
\(33\) | −6.84091 | − | 6.76623i | −1.19085 | − | 1.17785i | ||||
\(34\) | 1.72246 | + | 0.0533400i | 0.295399 | + | 0.00914773i | ||||
\(35\) | 0.0324998 | + | 0.0486394i | 0.00549347 | + | 0.00822156i | ||||
\(36\) | −3.40546 | − | 4.93992i | −0.567577 | − | 0.823321i | ||||
\(37\) | 0.738679 | + | 3.71359i | 0.121438 | + | 0.610510i | 0.992791 | + | 0.119855i | \(0.0382428\pi\) |
−0.871353 | + | 0.490656i | \(0.836757\pi\) | |||||||
\(38\) | 4.28270 | + | 6.86008i | 0.694746 | + | 1.11285i | ||||
\(39\) | 4.74208 | + | 6.11027i | 0.759340 | + | 0.978426i | ||||
\(40\) | −0.195698 | + | 1.22573i | −0.0309426 | + | 0.193805i | ||||
\(41\) | 0.487315 | + | 3.70153i | 0.0761059 | + | 0.578082i | 0.986430 | + | 0.164185i | \(0.0524993\pi\) |
−0.910324 | + | 0.413897i | \(0.864167\pi\) | |||||||
\(42\) | −0.188257 | + | 0.266779i | −0.0290486 | + | 0.0411649i | ||||
\(43\) | −3.01870 | + | 1.48866i | −0.460347 | + | 0.227018i | −0.657649 | − | 0.753325i | \(-0.728449\pi\) |
0.197302 | + | 0.980343i | \(0.436782\pi\) | |||||||
\(44\) | −10.2495 | + | 4.28800i | −1.54517 | + | 0.646441i | ||||
\(45\) | −1.29399 | − | 0.242657i | −0.192897 | − | 0.0361732i | ||||
\(46\) | 4.01007 | + | 3.27914i | 0.591253 | + | 0.483482i | ||||
\(47\) | −1.60306 | + | 0.429538i | −0.233830 | + | 0.0626545i | −0.373831 | − | 0.927497i | \(-0.621956\pi\) |
0.140001 | + | 0.990151i | \(0.455289\pi\) | |||||||
\(48\) | −6.77757 | + | 1.43685i | −0.978258 | + | 0.207391i | ||||
\(49\) | −6.74432 | − | 1.80713i | −0.963474 | − | 0.258162i | ||||
\(50\) | −3.96986 | − | 5.51930i | −0.561422 | − | 0.780547i | ||||
\(51\) | 1.89802 | + | 0.923083i | 0.265775 | + | 0.129258i | ||||
\(52\) | 8.61850 | − | 2.34200i | 1.19517 | − | 0.324778i | ||||
\(53\) | 4.07438 | − | 6.09773i | 0.559659 | − | 0.837588i | −0.438469 | − | 0.898746i | \(-0.644479\pi\) |
0.998128 | + | 0.0611578i | \(0.0194793\pi\) | |||||||
\(54\) | −1.32901 | − | 7.22729i | −0.180855 | − | 0.983510i | ||||
\(55\) | −0.932937 | + | 2.25231i | −0.125797 | + | 0.303701i | ||||
\(56\) | 0.200790 | + | 0.319112i | 0.0268317 | + | 0.0426431i | ||||
\(57\) | 1.34670 | + | 9.81273i | 0.178374 | + | 1.29973i | ||||
\(58\) | 4.99013 | − | 5.34682i | 0.655236 | − | 0.702071i | ||||
\(59\) | 5.53787 | + | 6.31473i | 0.720969 | + | 0.822107i | 0.990006 | − | 0.141022i | \(-0.0450390\pi\) |
−0.269038 | + | 0.963130i | \(0.586706\pi\) | |||||||
\(60\) | −0.833148 | + | 1.27158i | −0.107559 | + | 0.164161i | ||||
\(61\) | 0.930015 | + | 14.1893i | 0.119076 | + | 1.81675i | 0.472546 | + | 0.881306i | \(0.343335\pi\) |
−0.353470 | + | 0.935446i | \(0.614998\pi\) | |||||||
\(62\) | 3.15091 | − | 10.4536i | 0.400167 | − | 1.32761i | ||||
\(63\) | −0.344105 | + | 0.203738i | −0.0433532 | + | 0.0256685i | ||||
\(64\) | −1.47743 | + | 7.86239i | −0.184679 | + | 0.982799i | ||||
\(65\) | 0.979844 | − | 1.69714i | 0.121535 | − | 0.210504i | ||||
\(66\) | −13.6029 | − | 0.346534i | −1.67440 | − | 0.0426554i | ||||
\(67\) | −5.53545 | − | 2.72978i | −0.676263 | − | 0.333496i | 0.0715200 | − | 0.997439i | \(-0.477215\pi\) |
−0.747783 | + | 0.663943i | \(0.768882\pi\) | |||||||
\(68\) | 1.82661 | − | 1.61335i | 0.221509 | − | 0.195648i | ||||
\(69\) | 2.83720 | + | 5.67454i | 0.341558 | + | 0.683135i | ||||
\(70\) | 0.0806007 | + | 0.0186433i | 0.00963363 | + | 0.00222830i | ||||
\(71\) | −4.00752 | − | 9.67501i | −0.475605 | − | 1.14821i | −0.961650 | − | 0.274279i | \(-0.911561\pi\) |
0.486045 | − | 0.873934i | \(-0.338439\pi\) | |||||||
\(72\) | −8.29389 | − | 1.79204i | −0.977444 | − | 0.211194i | ||||
\(73\) | −2.92418 | + | 7.05959i | −0.342249 | + | 0.826262i | 0.655239 | + | 0.755422i | \(0.272568\pi\) |
−0.997488 | + | 0.0708402i | \(0.977432\pi\) | |||||||
\(74\) | 4.35805 | + | 3.11130i | 0.506614 | + | 0.361681i | ||||
\(75\) | −1.66925 | − | 8.15765i | −0.192748 | − | 0.941964i | ||||
\(76\) | 11.0577 | + | 2.92104i | 1.26840 | + | 0.335066i | ||||
\(77\) | 0.238026 | + | 0.701201i | 0.0271255 | + | 0.0799092i | ||||
\(78\) | 10.8048 | + | 1.70344i | 1.22340 | + | 0.192877i | ||||
\(79\) | 2.29816 | + | 8.57687i | 0.258564 | + | 0.964973i | 0.966073 | + | 0.258269i | \(0.0831521\pi\) |
−0.707509 | + | 0.706704i | \(0.750181\pi\) | |||||||
\(80\) | 0.985539 | + | 1.45263i | 0.110187 | + | 0.162409i | ||||
\(81\) | 2.13799 | − | 8.74237i | 0.237554 | − | 0.971374i | ||||
\(82\) | 4.08735 | + | 3.34233i | 0.451372 | + | 0.369098i | ||||
\(83\) | 1.38882 | + | 1.21796i | 0.152442 | + | 0.133688i | 0.732170 | − | 0.681122i | \(-0.238508\pi\) |
−0.579728 | + | 0.814810i | \(0.696841\pi\) | |||||||
\(84\) | 0.0644002 | + | 0.457248i | 0.00702664 | + | 0.0498899i | ||||
\(85\) | 0.0349748 | − | 0.533612i | 0.00379354 | − | 0.0578783i | ||||
\(86\) | −1.66882 | + | 4.45784i | −0.179954 | + | 0.480701i | ||||
\(87\) | 8.25661 | − | 3.47321i | 0.885201 | − | 0.372367i | ||||
\(88\) | −6.40864 | + | 14.3460i | −0.683164 | + | 1.52929i | ||||
\(89\) | 2.54583 | − | 1.05452i | 0.269857 | − | 0.111778i | −0.243652 | − | 0.969863i | \(-0.578345\pi\) |
0.513509 | + | 0.858084i | \(0.328345\pi\) | |||||||
\(90\) | −1.56845 | + | 1.00327i | −0.165329 | + | 0.105754i | ||||
\(91\) | −0.116127 | − | 0.583812i | −0.0121735 | − | 0.0612001i | ||||
\(92\) | 7.30834 | − | 0.504965i | 0.761947 | − | 0.0526462i | ||||
\(93\) | 8.76147 | − | 10.1018i | 0.908522 | − | 1.04751i | ||||
\(94\) | −1.23587 | + | 1.99530i | −0.127470 | + | 0.205799i | ||||
\(95\) | 2.17333 | − | 1.25478i | 0.222979 | − | 0.128737i | ||||
\(96\) | −5.59242 | + | 8.04517i | −0.570774 | + | 0.821107i | ||||
\(97\) | 11.1186 | + | 6.41932i | 1.12892 | + | 0.651784i | 0.943664 | − | 0.330906i | \(-0.107354\pi\) |
0.185259 | + | 0.982690i | \(0.440688\pi\) | |||||||
\(98\) | −8.70017 | + | 4.67013i | −0.878850 | + | 0.471754i | ||||
\(99\) | −15.0269 | − | 7.20647i | −1.51026 | − | 0.724278i | ||||
\(100\) | −9.43665 | − | 1.84241i | −0.943665 | − | 0.184241i | ||||
\(101\) | 11.1243 | + | 3.77619i | 1.10691 | + | 0.375745i | 0.814274 | − | 0.580480i | \(-0.197135\pi\) |
0.292633 | + | 0.956225i | \(0.405468\pi\) | |||||||
\(102\) | 2.84993 | − | 0.887146i | 0.282185 | − | 0.0878405i | ||||
\(103\) | −14.6585 | − | 11.2479i | −1.44435 | − | 1.10829i | −0.974196 | − | 0.225704i | \(-0.927532\pi\) |
−0.470154 | − | 0.882584i | \(-0.655802\pi\) | |||||||
\(104\) | 6.61275 | − | 10.7610i | 0.648433 | − | 1.05520i | ||||
\(105\) | 0.0807212 | + | 0.0612386i | 0.00787758 | + | 0.00597628i | ||||
\(106\) | −1.70754 | − | 10.2299i | −0.165851 | − | 0.993612i | ||||
\(107\) | −14.3081 | − | 9.56036i | −1.38322 | − | 0.924235i | −1.00000 | 0.000576004i | \(-0.999817\pi\) | |
−0.383216 | − | 0.923659i | \(-0.625183\pi\) | |||||||
\(108\) | −8.36963 | − | 6.16029i | −0.805368 | − | 0.592775i | ||||
\(109\) | −0.673689 | + | 3.38687i | −0.0645277 | + | 0.324403i | −0.999544 | − | 0.0302025i | \(-0.990385\pi\) |
0.935016 | + | 0.354605i | \(0.115385\pi\) | |||||||
\(110\) | 1.22015 | + | 3.22456i | 0.116337 | + | 0.307449i | ||||
\(111\) | 3.31019 | + | 5.66143i | 0.314189 | + | 0.537360i | ||||
\(112\) | 0.515990 | + | 0.134357i | 0.0487565 | + | 0.0126955i | ||||
\(113\) | −4.27062 | − | 1.14431i | −0.401746 | − | 0.107647i | 0.0522877 | − | 0.998632i | \(-0.483349\pi\) |
−0.454034 | + | 0.890985i | \(0.650015\pi\) | |||||||
\(114\) | 10.8920 | + | 8.80739i | 1.02013 | + | 0.824888i | ||||
\(115\) | 1.05987 | − | 1.20855i | 0.0988330 | − | 0.112697i | ||||
\(116\) | −0.0365609 | − | 10.3430i | −0.00339459 | − | 0.960326i | ||||
\(117\) | 11.2199 | + | 7.32003i | 1.03728 | + | 0.676737i | ||||
\(118\) | 11.8229 | + | 1.14336i | 1.08838 | + | 0.105254i | ||||
\(119\) | −0.0988815 | − | 0.128865i | −0.00906446 | − | 0.0118130i | ||||
\(120\) | 0.373078 | + | 2.11729i | 0.0340572 | + | 0.193282i | ||||
\(121\) | −12.0900 | + | 15.7560i | −1.09909 | + | 1.43236i | ||||
\(122\) | 14.7016 | + | 13.7209i | 1.33102 | + | 1.24223i | ||||
\(123\) | 2.89187 | + | 5.78390i | 0.260751 | + | 0.521516i | ||||
\(124\) | −6.87814 | − | 13.8241i | −0.617675 | − | 1.24144i | ||||
\(125\) | −3.57862 | + | 2.39116i | −0.320082 | + | 0.213872i | ||||
\(126\) | −0.157258 | + | 0.543236i | −0.0140096 | + | 0.0483953i | ||||
\(127\) | 8.56650 | 0.760154 | 0.380077 | − | 0.924955i | \(-0.375898\pi\) | ||||
0.380077 | + | 0.924955i | \(0.375898\pi\) | |||||||
\(128\) | 6.09281 | + | 9.53298i | 0.538533 | + | 0.842604i | ||||
\(129\) | −4.09957 | + | 4.14481i | −0.360947 | + | 0.364930i | ||||
\(130\) | −0.634093 | − | 2.69790i | −0.0556136 | − | 0.236622i | ||||
\(131\) | −6.03958 | − | 2.97839i | −0.527680 | − | 0.260223i | 0.158878 | − | 0.987298i | \(-0.449212\pi\) |
−0.686558 | + | 0.727075i | \(0.740879\pi\) | |||||||
\(132\) | −14.3531 | + | 12.8183i | −1.24928 | + | 1.11569i | ||||
\(133\) | 0.245023 | − | 0.721815i | 0.0212462 | − | 0.0625893i | ||||
\(134\) | −8.34812 | + | 2.54849i | −0.721167 | + | 0.220156i | ||||
\(135\) | −2.25561 | + | 0.334822i | −0.194132 | + | 0.0288169i | ||||
\(136\) | 0.319631 | − | 3.43171i | 0.0274081 | − | 0.294267i | ||||
\(137\) | −4.81723 | − | 6.27794i | −0.411564 | − | 0.536361i | 0.540870 | − | 0.841106i | \(-0.318095\pi\) |
−0.952434 | + | 0.304746i | \(0.901429\pi\) | |||||||
\(138\) | 8.41984 | + | 3.09945i | 0.716744 | + | 0.263843i | ||||
\(139\) | 15.9050 | + | 1.04247i | 1.34904 | + | 0.0884208i | 0.722718 | − | 0.691143i | \(-0.242893\pi\) |
0.626323 | + | 0.779564i | \(0.284559\pi\) | |||||||
\(140\) | 0.101114 | − | 0.0588559i | 0.00854571 | − | 0.00497423i | ||||
\(141\) | −2.38128 | + | 1.61009i | −0.200540 | + | 0.135594i | ||||
\(142\) | −13.5006 | − | 6.08829i | −1.13294 | − | 0.510918i | ||||
\(143\) | 17.5410 | − | 17.5410i | 1.46685 | − | 1.46685i | ||||
\(144\) | −10.2823 | + | 6.18655i | −0.856862 | + | 0.515546i | ||||
\(145\) | −1.60480 | − | 1.60480i | −0.133271 | − | 0.133271i | ||||
\(146\) | 3.82441 | + | 10.1070i | 0.316510 | + | 0.836460i | ||||
\(147\) | −12.0632 | + | 0.857174i | −0.994953 | + | 0.0706985i | ||||
\(148\) | 7.50436 | − | 1.01497i | 0.616855 | − | 0.0834298i | ||||
\(149\) | −0.202030 | + | 3.08239i | −0.0165510 | + | 0.252519i | 0.981563 | + | 0.191137i | \(0.0612175\pi\) |
−0.998114 | + | 0.0613821i | \(0.980449\pi\) | |||||||
\(150\) | −9.62136 | − | 6.78946i | −0.785580 | − | 0.554357i | ||||
\(151\) | 2.29263 | − | 1.75920i | 0.186571 | − | 0.143161i | −0.511253 | − | 0.859430i | \(-0.670818\pi\) |
0.697824 | + | 0.716269i | \(0.254152\pi\) | |||||||
\(152\) | 14.2238 | − | 7.70005i | 1.15371 | − | 0.624556i | ||||
\(153\) | 3.62938 | + | 0.437347i | 0.293418 | + | 0.0353574i | ||||
\(154\) | 0.924440 | + | 0.492025i | 0.0744935 | + | 0.0396485i | ||||
\(155\) | −3.20825 | − | 1.08906i | −0.257693 | − | 0.0874750i | ||||
\(156\) | 12.7840 | − | 8.70983i | 1.02354 | − | 0.697344i | ||||
\(157\) | −7.78202 | + | 15.7804i | −0.621073 | + | 1.25941i | 0.328096 | + | 0.944644i | \(0.393593\pi\) |
−0.949169 | + | 0.314767i | \(0.898074\pi\) | |||||||
\(158\) | 10.6755 | + | 6.61230i | 0.849295 | + | 0.526047i | ||||
\(159\) | 3.22022 | − | 12.2873i | 0.255380 | − | 0.974450i | ||||
\(160\) | 2.42254 | + | 0.542331i | 0.191519 | + | 0.0428750i | ||||
\(161\) | − | 0.488258i | − | 0.0384802i | ||||||
\(162\) | −6.26444 | − | 11.0796i | −0.492181 | − | 0.870493i | ||||
\(163\) | −9.69783 | − | 14.5138i | −0.759592 | − | 1.13681i | −0.986638 | − | 0.162926i | \(-0.947907\pi\) |
0.227046 | − | 0.973884i | \(-0.427093\pi\) | |||||||
\(164\) | 7.44918 | − | 0.514696i | 0.581683 | − | 0.0401910i | ||||
\(165\) | −0.253039 | + | 4.21495i | −0.0196991 | + | 0.328133i | ||||
\(166\) | 2.61081 | − | 0.0900888i | 0.202638 | − | 0.00699225i | ||||
\(167\) | −8.47092 | − | 6.49997i | −0.655500 | − | 0.502983i | 0.226635 | − | 0.973980i | \(-0.427228\pi\) |
−0.882135 | + | 0.470997i | \(0.843894\pi\) | |||||||
\(168\) | 0.509239 | + | 0.408806i | 0.0392886 | + | 0.0315401i | ||||
\(169\) | −5.50658 | + | 4.22535i | −0.423583 | + | 0.325027i | ||||
\(170\) | −0.480799 | − | 0.583748i | −0.0368756 | − | 0.0447714i | ||||
\(171\) | 7.75608 | + | 15.3021i | 0.593123 | + | 1.17018i | ||||
\(172\) | 2.59804 | + | 6.21005i | 0.198099 | + | 0.473512i | ||||
\(173\) | 1.05509 | + | 0.925290i | 0.0802171 | + | 0.0703485i | 0.698515 | − | 0.715595i | \(-0.253844\pi\) |
−0.618298 | + | 0.785943i | \(0.712178\pi\) | |||||||
\(174\) | 5.14418 | − | 11.5761i | 0.389979 | − | 0.877585i | ||||
\(175\) | −0.165857 | + | 0.618988i | −0.0125376 | + | 0.0467911i | ||||
\(176\) | 7.29118 | + | 20.9904i | 0.549594 | + | 1.58221i | ||||
\(177\) | 12.6383 | + | 7.20452i | 0.949951 | + | 0.541525i | ||||
\(178\) | 1.60204 | − | 3.55246i | 0.120078 | − | 0.266268i | ||||
\(179\) | 14.8149 | + | 2.94687i | 1.10732 | + | 0.220259i | 0.714693 | − | 0.699439i | \(-0.246567\pi\) |
0.392626 | + | 0.919698i | \(0.371567\pi\) | |||||||
\(180\) | −0.644517 | + | 2.55299i | −0.0480395 | + | 0.190289i | ||||
\(181\) | −14.3059 | + | 21.4103i | −1.06335 | + | 1.59142i | −0.290449 | + | 0.956891i | \(0.593805\pi\) |
−0.772902 | + | 0.634526i | \(0.781195\pi\) | |||||||
\(182\) | −0.685128 | − | 0.489125i | −0.0507851 | − | 0.0362564i | ||||
\(183\) | 9.54996 | + | 22.7024i | 0.705953 | + | 1.67821i | ||||
\(184\) | 7.04196 | − | 7.59898i | 0.519140 | − | 0.560204i | ||||
\(185\) | 1.01154 | − | 1.31826i | 0.0743697 | − | 0.0969205i | ||||
\(186\) | −0.755862 | − | 18.8958i | −0.0554225 | − | 1.38550i | ||||
\(187\) | 2.17590 | − | 6.40998i | 0.159117 | − | 0.468744i | ||||
\(188\) | 0.659050 | + | 3.25313i | 0.0480661 | + | 0.237259i | ||||
\(189\) | −0.448055 | + | 0.528204i | −0.0325912 | + | 0.0384212i | ||||
\(190\) | 1.02423 | − | 3.39803i | 0.0743053 | − | 0.246519i | ||||
\(191\) | −2.82796 | + | 4.89817i | −0.204624 | + | 0.354419i | −0.950013 | − | 0.312211i | \(-0.898931\pi\) |
0.745389 | + | 0.666630i | \(0.232264\pi\) | |||||||
\(192\) | 2.02946 | + | 13.7070i | 0.146463 | + | 0.989216i | ||||
\(193\) | −7.70220 | − | 13.3406i | −0.554417 | − | 0.960278i | −0.997949 | − | 0.0640195i | \(-0.979608\pi\) |
0.443532 | − | 0.896259i | \(-0.353725\pi\) | |||||||
\(194\) | 17.6750 | − | 4.15418i | 1.26899 | − | 0.298252i | ||||
\(195\) | 0.643911 | − | 3.33264i | 0.0461115 | − | 0.238656i | ||||
\(196\) | −4.44196 | + | 13.2392i | −0.317283 | + | 0.945654i | ||||
\(197\) | −13.9454 | + | 2.77392i | −0.993572 | + | 0.197634i | −0.664999 | − | 0.746845i | \(-0.731568\pi\) |
−0.328574 | + | 0.944478i | \(0.606568\pi\) | |||||||
\(198\) | −22.4647 | + | 7.12846i | −1.59650 | + | 0.506597i | ||||
\(199\) | −2.61262 | − | 6.30743i | −0.185204 | − | 0.447122i | 0.803821 | − | 0.594871i | \(-0.202797\pi\) |
−0.989025 | + | 0.147750i | \(0.952797\pi\) | |||||||
\(200\) | −11.5087 | + | 7.24148i | −0.813789 | + | 0.512050i | ||||
\(201\) | −10.6062 | − | 1.33715i | −0.748101 | − | 0.0943156i | ||||
\(202\) | 15.1208 | − | 6.88337i | 1.06389 | − | 0.484312i | ||||
\(203\) | −0.687886 | − | 0.0450864i | −0.0482801 | − | 0.00316445i | ||||
\(204\) | 2.07751 | − | 3.67453i | 0.145455 | − | 0.257268i | ||||
\(205\) | 1.08029 | − | 1.23184i | 0.0754508 | − | 0.0860351i | ||||
\(206\) | −25.9996 | + | 2.60714i | −1.81148 | + | 0.181648i | ||||
\(207\) | 7.85496 | + | 7.68440i | 0.545958 | + | 0.534102i | ||||
\(208\) | −3.60848 | − | 17.4938i | −0.250203 | − | 1.21298i | ||||
\(209\) | 30.6847 | − | 8.22195i | 2.12251 | − | 0.568724i | ||||
\(210\) | 0.142495 | − | 0.0150792i | 0.00983308 | − | 0.00104056i | ||||
\(211\) | 11.8146 | − | 4.01051i | 0.813350 | − | 0.276095i | 0.116389 | − | 0.993204i | \(-0.462868\pi\) |
0.696961 | + | 0.717109i | \(0.254535\pi\) | |||||||
\(212\) | −11.6679 | − | 8.88774i | −0.801354 | − | 0.610412i | ||||
\(213\) | −12.0341 | − | 13.5713i | −0.824562 | − | 0.929888i | ||||
\(214\) | −24.0040 | + | 4.00667i | −1.64088 | + | 0.273890i | ||||
\(215\) | 1.36464 | + | 0.565254i | 0.0930679 | + | 0.0385500i | ||||
\(216\) | −14.5914 | + | 1.75854i | −0.992816 | + | 0.119654i | ||||
\(217\) | −0.950776 | + | 0.393824i | −0.0645429 | + | 0.0267345i | ||||
\(218\) | 2.58619 | + | 4.14259i | 0.175159 | + | 0.280572i | ||||
\(219\) | −0.793120 | + | 13.2112i | −0.0535941 | + | 0.892732i | ||||
\(220\) | 4.38053 | + | 2.14102i | 0.295336 | + | 0.144348i | ||||
\(221\) | −2.40669 | + | 4.88028i | −0.161891 | + | 0.328283i | ||||
\(222\) | 8.89455 | + | 2.62781i | 0.596963 | + | 0.176367i | ||||
\(223\) | −2.28282 | − | 1.31799i | −0.152869 | − | 0.0882589i | 0.421614 | − | 0.906775i | \(-0.361464\pi\) |
−0.574483 | + | 0.818516i | \(0.694797\pi\) | |||||||
\(224\) | 0.661848 | − | 0.361321i | 0.0442216 | − | 0.0241418i | ||||
\(225\) | −7.34777 | − | 12.4101i | −0.489851 | − | 0.827341i | ||||
\(226\) | −5.50910 | + | 2.95720i | −0.366460 | + | 0.196710i | ||||
\(227\) | −24.9558 | + | 1.63569i | −1.65638 | + | 0.108565i | −0.864671 | − | 0.502339i | \(-0.832473\pi\) |
−0.791705 | + | 0.610903i | \(0.790806\pi\) | |||||||
\(228\) | 19.7545 | − | 1.47390i | 1.30827 | − | 0.0976112i | ||||
\(229\) | −8.33315 | + | 7.30798i | −0.550670 | + | 0.482925i | −0.888876 | − | 0.458147i | \(-0.848513\pi\) |
0.338206 | + | 0.941072i | \(0.390180\pi\) | |||||||
\(230\) | −0.0783952 | − | 2.27193i | −0.00516922 | − | 0.149806i | ||||
\(231\) | 0.786359 | + | 1.01324i | 0.0517386 | + | 0.0666663i | ||||
\(232\) | −10.0556 | − | 10.6228i | −0.660183 | − | 0.697422i | ||||
\(233\) | 23.4859 | + | 9.72818i | 1.53861 | + | 0.637314i | 0.981213 | − | 0.192929i | \(-0.0617988\pi\) |
0.557401 | + | 0.830244i | \(0.311799\pi\) | |||||||
\(234\) | 18.6517 | − | 3.32410i | 1.21930 | − | 0.217304i | ||||
\(235\) | 0.605573 | + | 0.404631i | 0.0395032 | + | 0.0263952i | ||||
\(236\) | 13.2906 | − | 10.2731i | 0.865142 | − | 0.668719i | ||||
\(237\) | 8.61451 | + | 12.7406i | 0.559572 | + | 0.827591i | ||||
\(238\) | −0.226709 | − | 0.0370184i | −0.0146954 | − | 0.00239954i | ||||
\(239\) | 4.06684 | − | 15.1776i | 0.263062 | − | 0.981760i | −0.700364 | − | 0.713786i | \(-0.746979\pi\) |
0.963426 | − | 0.267974i | \(-0.0863542\pi\) | |||||||
\(240\) | 2.43519 | + | 1.82046i | 0.157191 | + | 0.117510i | ||||
\(241\) | −4.52536 | − | 16.8889i | −0.291504 | − | 1.08791i | −0.943954 | − | 0.330076i | \(-0.892926\pi\) |
0.652450 | − | 0.757831i | \(-0.273741\pi\) | |||||||
\(242\) | 2.80233 | + | 27.9461i | 0.180140 | + | 1.79644i | ||||
\(243\) | −1.44593 | − | 15.5213i | −0.0927565 | − | 0.995689i | ||||
\(244\) | 28.4393 | − | 0.100528i | 1.82064 | − | 0.00643565i | ||||
\(245\) | 1.35524 | + | 2.74815i | 0.0865829 | + | 0.175573i | ||||
\(246\) | 8.58209 | + | 3.15918i | 0.547174 | + | 0.201422i | ||||
\(247\) | −25.3176 | + | 3.33312i | −1.61092 | + | 0.212081i | ||||
\(248\) | −20.4773 | − | 7.58340i | −1.30031 | − | 0.481547i | ||||
\(249\) | 2.96261 | + | 1.20815i | 0.187748 | + | 0.0765633i | ||||
\(250\) | −1.37167 | + | 5.93016i | −0.0867523 | + | 0.375056i | ||||
\(251\) | −6.59279 | + | 1.31139i | −0.416133 | + | 0.0827741i | −0.398717 | − | 0.917074i | \(-0.630544\pi\) |
−0.0174169 | + | 0.999848i | \(0.505544\pi\) | |||||||
\(252\) | 0.364111 | + | 0.712105i | 0.0229368 | + | 0.0448584i | ||||
\(253\) | 16.9187 | − | 11.3047i | 1.06367 | − | 0.710721i | ||||
\(254\) | 8.82755 | − | 8.29724i | 0.553890 | − | 0.520615i | ||||
\(255\) | −0.244631 | − | 0.893336i | −0.0153194 | − | 0.0559429i | ||||
\(256\) | 15.5118 | + | 3.92218i | 0.969489 | + | 0.245136i | ||||
\(257\) | −8.16622 | − | 14.1443i | −0.509395 | − | 0.882298i | −0.999941 | − | 0.0108823i | \(-0.996536\pi\) |
0.490546 | − | 0.871415i | \(-0.336797\pi\) | |||||||
\(258\) | −0.209960 | + | 8.24183i | −0.0130716 | + | 0.513114i | ||||
\(259\) | −0.0330100 | − | 0.503635i | −0.00205114 | − | 0.0312944i | ||||
\(260\) | −3.26652 | − | 2.16596i | −0.202581 | − | 0.134327i | ||||
\(261\) | 11.5515 | − | 10.3569i | 0.715023 | − | 0.641078i | ||||
\(262\) | −9.10840 | + | 2.78059i | −0.562719 | + | 0.171785i | ||||
\(263\) | −5.25545 | − | 0.691893i | −0.324065 | − | 0.0426639i | −0.0332611 | − | 0.999447i | \(-0.510589\pi\) |
−0.290804 | + | 0.956783i | \(0.593923\pi\) | |||||||
\(264\) | −2.37512 | + | 27.1108i | −0.146178 | + | 1.66856i | ||||
\(265\) | −3.19084 | + | 0.420083i | −0.196012 | + | 0.0258055i | ||||
\(266\) | −0.446637 | − | 0.981133i | −0.0273851 | − | 0.0601571i | ||||
\(267\) | 3.57106 | − | 3.16658i | 0.218546 | − | 0.193791i | ||||
\(268\) | −6.13412 | + | 10.7119i | −0.374701 | + | 0.654332i | ||||
\(269\) | −3.00973 | − | 0.598673i | −0.183507 | − | 0.0365017i | 0.102481 | − | 0.994735i | \(-0.467322\pi\) |
−0.285988 | + | 0.958233i | \(0.592322\pi\) | |||||||
\(270\) | −2.00005 | + | 2.52974i | −0.121719 | + | 0.153955i | ||||
\(271\) | −8.32687 | + | 8.32687i | −0.505821 | + | 0.505821i | −0.913241 | − | 0.407420i | \(-0.866429\pi\) |
0.407420 | + | 0.913241i | \(0.366429\pi\) | |||||||
\(272\) | −2.99447 | − | 3.84587i | −0.181567 | − | 0.233190i | ||||
\(273\) | −0.520394 | − | 0.890032i | −0.0314957 | − | 0.0538672i | ||||
\(274\) | −11.0446 | − | 1.80343i | −0.667232 | − | 0.108949i | ||||
\(275\) | −25.2887 | + | 8.58437i | −1.52497 | + | 0.517657i | ||||
\(276\) | 11.6784 | − | 4.96129i | 0.702960 | − | 0.298635i | ||||
\(277\) | −13.5928 | + | 6.70325i | −0.816715 | + | 0.402759i | −0.802141 | − | 0.597135i | \(-0.796306\pi\) |
−0.0145736 | + | 0.999894i | \(0.504639\pi\) | |||||||
\(278\) | 17.3993 | − | 14.3308i | 1.04354 | − | 0.859504i | ||||
\(279\) | 8.62793 | − | 21.4940i | 0.516541 | − | 1.28681i | ||||
\(280\) | 0.0471896 | − | 0.158585i | 0.00282012 | − | 0.00947729i | ||||
\(281\) | 2.87788 | − | 21.8597i | 0.171680 | − | 1.30404i | −0.661042 | − | 0.750349i | \(-0.729886\pi\) |
0.832722 | − | 0.553691i | \(-0.186781\pi\) | |||||||
\(282\) | −0.894360 | + | 3.96559i | −0.0532583 | + | 0.236147i | ||||
\(283\) | 0.558998 | − | 0.490228i | 0.0332290 | − | 0.0291410i | −0.642570 | − | 0.766227i | \(-0.722132\pi\) |
0.675799 | + | 0.737086i | \(0.263799\pi\) | |||||||
\(284\) | −19.8089 | + | 6.80239i | −1.17544 | + | 0.403648i | ||||
\(285\) | 2.84798 | − | 3.28368i | 0.168700 | − | 0.194508i | ||||
\(286\) | 1.08588 | − | 35.0652i | 0.0642094 | − | 2.07345i | ||||
\(287\) | − | 0.497668i | − | 0.0293764i | ||||||
\(288\) | −4.60359 | + | 16.3342i | −0.271269 | + | 0.962504i | ||||
\(289\) | − | 15.5151i | − | 0.912656i | ||||||
\(290\) | −3.20806 | − | 0.0993453i | −0.188384 | − | 0.00583375i | ||||
\(291\) | 21.8334 | + | 4.21850i | 1.27990 | + | 0.247293i | ||||
\(292\) | 13.7302 | + | 6.71078i | 0.803502 | + | 0.392719i | ||||
\(293\) | −1.99962 | + | 1.75362i | −0.116819 | + | 0.102448i | −0.715763 | − | 0.698344i | \(-0.753921\pi\) |
0.598943 | + | 0.800791i | \(0.295587\pi\) | |||||||
\(294\) | −11.6005 | + | 12.5673i | −0.676557 | + | 0.732939i | ||||
\(295\) | 0.481107 | − | 3.65437i | 0.0280111 | − | 0.212766i | ||||
\(296\) | 6.74998 | − | 8.31438i | 0.392335 | − | 0.483264i | ||||
\(297\) | −28.6767 | − | 3.29604i | −1.66399 | − | 0.191256i | ||||
\(298\) | 2.77732 | + | 3.37200i | 0.160886 | + | 0.195335i | ||||
\(299\) | −14.6699 | + | 7.23438i | −0.848380 | + | 0.418375i | ||||
\(300\) | −16.4906 | + | 2.32258i | −0.952086 | + | 0.134095i | ||||
\(301\) | 0.424848 | − | 0.144216i | 0.0244878 | − | 0.00831250i | ||||
\(302\) | 0.658591 | − | 4.03337i | 0.0378977 | − | 0.232094i | ||||
\(303\) | 20.3474 | − | 0.111668i | 1.16893 | − | 0.00641517i | ||||
\(304\) | 7.19928 | − | 21.7115i | 0.412907 | − | 1.24524i | ||||
\(305\) | 4.41257 | − | 4.41257i | 0.252663 | − | 0.252663i | ||||
\(306\) | 4.16358 | − | 3.06463i | 0.238016 | − | 0.175193i | ||||
\(307\) | −30.8181 | − | 6.13010i | −1.75888 | − | 0.349863i | −0.793075 | − | 0.609124i | \(-0.791521\pi\) |
−0.965807 | + | 0.259260i | \(0.916521\pi\) | |||||||
\(308\) | 1.42917 | − | 0.388365i | 0.0814345 | − | 0.0221291i | ||||
\(309\) | −30.3602 | − | 10.1204i | −1.72713 | − | 0.575731i | ||||
\(310\) | −4.36084 | + | 1.98517i | −0.247679 | + | 0.112750i | ||||
\(311\) | −18.2161 | + | 2.39820i | −1.03294 | + | 0.135989i | −0.627888 | − | 0.778304i | \(-0.716080\pi\) |
−0.405054 | + | 0.914293i | \(0.632747\pi\) | |||||||
\(312\) | 4.73746 | − | 21.3574i | 0.268206 | − | 1.20912i | ||||
\(313\) | 20.2530 | + | 2.66635i | 1.14477 | + | 0.150711i | 0.678960 | − | 0.734176i | \(-0.262431\pi\) |
0.465806 | + | 0.884887i | \(0.345764\pi\) | |||||||
\(314\) | 7.26521 | + | 23.7987i | 0.409999 | + | 1.34304i | ||||
\(315\) | 0.166790 | + | 0.0545834i | 0.00939755 | + | 0.00307543i | ||||
\(316\) | 17.4053 | − | 3.52613i | 0.979123 | − | 0.198360i | ||||
\(317\) | 0.926473 | + | 14.1352i | 0.0520359 | + | 0.793914i | 0.941522 | + | 0.336952i | \(0.109396\pi\) |
−0.889486 | + | 0.456962i | \(0.848937\pi\) | |||||||
\(318\) | −8.58279 | − | 15.7808i | −0.481299 | − | 0.884943i | ||||
\(319\) | −14.3644 | − | 24.8799i | −0.804253 | − | 1.39301i | ||||
\(320\) | 3.02165 | − | 1.78754i | 0.168915 | − | 0.0999264i | ||||
\(321\) | −28.8318 | − | 7.55611i | −1.60923 | − | 0.421741i | ||||
\(322\) | −0.472912 | − | 0.503137i | −0.0263543 | − | 0.0280388i | ||||
\(323\) | −5.79387 | + | 3.87134i | −0.322380 | + | 0.215407i | ||||
\(324\) | −17.1867 | − | 5.34966i | −0.954814 | − | 0.297203i | ||||
\(325\) | 21.0551 | − | 4.18812i | 1.16793 | − | 0.232315i | ||||
\(326\) | −24.0510 | − | 5.56310i | −1.33206 | − | 0.308112i | ||||
\(327\) | 0.813229 | + | 5.92561i | 0.0449716 | + | 0.327687i | ||||
\(328\) | 7.17766 | − | 7.74542i | 0.396320 | − | 0.427669i | ||||
\(329\) | 0.219331 | − | 0.0288755i | 0.0120921 | − | 0.00159196i | ||||
\(330\) | 3.82171 | + | 4.58847i | 0.210378 | + | 0.252587i | ||||
\(331\) | 1.87901 | + | 3.81025i | 0.103280 | + | 0.209430i | 0.942379 | − | 0.334548i | \(-0.108584\pi\) |
−0.839099 | + | 0.543979i | \(0.816917\pi\) | |||||||
\(332\) | 2.60312 | − | 2.62159i | 0.142865 | − | 0.143878i | ||||
\(333\) | 8.62186 | + | 7.39534i | 0.472475 | + | 0.405262i | ||||
\(334\) | −15.0247 | + | 1.50662i | −0.822116 | + | 0.0824388i | ||||
\(335\) | 0.701025 | + | 2.61626i | 0.0383011 | + | 0.142942i | ||||
\(336\) | 0.920714 | − | 0.0719686i | 0.0502291 | − | 0.00392621i | ||||
\(337\) | 2.42891 | − | 9.06481i | 0.132311 | − | 0.493792i | −0.867683 | − | 0.497117i | \(-0.834392\pi\) |
0.999994 | + | 0.00332542i | \(0.00105852\pi\) | |||||||
\(338\) | −1.58185 | + | 9.68760i | −0.0860411 | + | 0.526936i | ||||
\(339\) | −7.63860 | + | 0.542777i | −0.414872 | + | 0.0294796i | ||||
\(340\) | −1.06085 | − | 0.135850i | −0.0575327 | − | 0.00736752i | ||||
\(341\) | −35.6599 | − | 23.8272i | −1.93109 | − | 1.29031i | ||||
\(342\) | 22.8135 | + | 8.25606i | 1.23361 | + | 0.446437i | ||||
\(343\) | 1.72194 | + | 0.713252i | 0.0929762 | + | 0.0385120i | ||||
\(344\) | 8.69207 | + | 3.88291i | 0.468645 | + | 0.209353i | ||||
\(345\) | 1.05133 | − | 2.57806i | 0.0566017 | − | 0.138798i | ||||
\(346\) | 1.98345 | − | 0.0684409i | 0.106631 | − | 0.00367941i | ||||
\(347\) | −15.9938 | + | 14.0262i | −0.858590 | + | 0.752963i | −0.970588 | − | 0.240745i | \(-0.922608\pi\) |
0.111998 | + | 0.993708i | \(0.464275\pi\) | |||||||
\(348\) | −5.91134 | − | 16.9114i | −0.316881 | − | 0.906546i | ||||
\(349\) | −29.7257 | + | 1.94833i | −1.59118 | + | 0.104291i | −0.835067 | − | 0.550149i | \(-0.814571\pi\) |
−0.756114 | + | 0.654440i | \(0.772904\pi\) | |||||||
\(350\) | 0.428620 | + | 0.798494i | 0.0229107 | + | 0.0426813i | ||||
\(351\) | 22.5087 | + | 5.63571i | 1.20143 | + | 0.300812i | ||||
\(352\) | 27.8440 | + | 14.5681i | 1.48409 | + | 0.776481i | ||||
\(353\) | −6.01273 | − | 3.47145i | −0.320025 | − | 0.184767i | 0.331379 | − | 0.943498i | \(-0.392486\pi\) |
−0.651404 | + | 0.758731i | \(0.725820\pi\) | |||||||
\(354\) | 20.0015 | − | 4.81696i | 1.06307 | − | 0.256019i | ||||
\(355\) | −2.03262 | + | 4.12175i | −0.107880 | + | 0.218760i | ||||
\(356\) | −1.78994 | − | 5.21239i | −0.0948667 | − | 0.276256i | ||||
\(357\) | −0.234778 | − | 0.155017i | −0.0124258 | − | 0.00820437i | ||||
\(358\) | 18.1206 | − | 11.3126i | 0.957705 | − | 0.597889i | ||||
\(359\) | 13.8067 | − | 5.71894i | 0.728692 | − | 0.301834i | 0.0126777 | − | 0.999920i | \(-0.495964\pi\) |
0.716014 | + | 0.698085i | \(0.245964\pi\) | |||||||
\(360\) | 1.80859 | + | 3.25505i | 0.0953211 | + | 0.171556i | ||||
\(361\) | −12.6581 | − | 5.24317i | −0.666218 | − | 0.275957i | ||||
\(362\) | 5.99549 | + | 35.9190i | 0.315116 | + | 1.88786i | ||||
\(363\) | −10.8781 | + | 32.6331i | −0.570952 | + | 1.71279i | ||||
\(364\) | −1.17976 | + | 0.159563i | −0.0618361 | + | 0.00836335i | ||||
\(365\) | 3.17539 | − | 1.07790i | 0.166207 | − | 0.0564198i | ||||
\(366\) | 31.8298 | + | 14.1445i | 1.66377 | + | 0.739343i | ||||
\(367\) | 32.5747 | − | 8.72837i | 1.70039 | − | 0.455617i | 0.727350 | − | 0.686267i | \(-0.240752\pi\) |
0.973037 | + | 0.230650i | \(0.0740853\pi\) | |||||||
\(368\) | −0.103580 | − | 14.6512i | −0.00539949 | − | 0.763745i | ||||
\(369\) | 8.00633 | + | 7.83248i | 0.416793 | + | 0.407743i | ||||
\(370\) | −0.234464 | − | 2.33818i | −0.0121892 | − | 0.121556i | ||||
\(371\) | −0.644558 | + | 0.734978i | −0.0334638 | + | 0.0381582i | ||||
\(372\) | −19.0807 | − | 18.7395i | −0.989290 | − | 0.971597i | ||||
\(373\) | 18.9378 | + | 1.24125i | 0.980562 | + | 0.0642694i | 0.547245 | − | 0.836972i | \(-0.315676\pi\) |
0.433317 | + | 0.901242i | \(0.357343\pi\) | |||||||
\(374\) | −3.96630 | − | 8.71282i | −0.205093 | − | 0.450529i | ||||
\(375\) | −4.50561 | + | 5.93902i | −0.232668 | + | 0.306690i | ||||
\(376\) | 3.83001 | + | 2.71393i | 0.197518 | + | 0.139960i | ||||
\(377\) | 8.83756 | + | 21.3358i | 0.455158 | + | 1.09885i | ||||
\(378\) | 0.0498925 | + | 0.978272i | 0.00256619 | + | 0.0503169i | ||||
\(379\) | 8.15299 | − | 1.62173i | 0.418791 | − | 0.0833027i | 0.0188033 | − | 0.999823i | \(-0.494014\pi\) |
0.399988 | + | 0.916520i | \(0.369014\pi\) | |||||||
\(380\) | −2.23579 | − | 4.49362i | −0.114694 | − | 0.230518i | ||||
\(381\) | 14.0238 | − | 4.84643i | 0.718461 | − | 0.248290i | ||||
\(382\) | 1.83008 | + | 7.78651i | 0.0936348 | + | 0.398393i | ||||
\(383\) | 3.83417 | + | 6.64098i | 0.195917 | + | 0.339338i | 0.947201 | − | 0.320641i | \(-0.103898\pi\) |
−0.751284 | + | 0.659979i | \(0.770565\pi\) | |||||||
\(384\) | 15.3674 | + | 12.1590i | 0.784217 | + | 0.620487i | ||||
\(385\) | 0.162484 | − | 0.281430i | 0.00828093 | − | 0.0143430i | ||||
\(386\) | −20.8582 | − | 6.28703i | −1.06165 | − | 0.320002i | ||||
\(387\) | −4.36630 | + | 9.10457i | −0.221952 | + | 0.462811i | ||||
\(388\) | 14.1900 | − | 21.4002i | 0.720387 | − | 1.08643i | ||||
\(389\) | 11.4338 | − | 33.6830i | 0.579718 | − | 1.70779i | −0.119453 | − | 0.992840i | \(-0.538114\pi\) |
0.699171 | − | 0.714954i | \(-0.253552\pi\) | |||||||
\(390\) | −2.56436 | − | 4.05787i | −0.129851 | − | 0.205478i | ||||
\(391\) | −2.71714 | + | 3.54104i | −0.137411 | + | 0.179078i | ||||
\(392\) | 8.24570 | + | 17.9449i | 0.416471 | + | 0.906356i | ||||
\(393\) | −11.5721 | − | 1.45893i | −0.583735 | − | 0.0735934i | ||||
\(394\) | −11.6837 | + | 16.3656i | −0.588615 | + | 0.824486i | ||||
\(395\) | 2.16490 | − | 3.24001i | 0.108928 | − | 0.163023i | ||||
\(396\) | −16.2449 | + | 29.1043i | −0.816338 | + | 1.46255i | ||||
\(397\) | −5.81172 | − | 1.15602i | −0.291682 | − | 0.0580192i | 0.0470804 | − | 0.998891i | \(-0.485008\pi\) |
−0.338762 | + | 0.940872i | \(0.610008\pi\) | |||||||
\(398\) | −8.80141 | − | 3.96913i | −0.441175 | − | 0.198955i | ||||
\(399\) | −0.00724575 | − | 1.32027i | −0.000362741 | − | 0.0660960i | ||||
\(400\) | −4.84556 | + | 18.6091i | −0.242278 | + | 0.930457i | ||||
\(401\) | −5.37775 | + | 20.0700i | −0.268552 | + | 1.00225i | 0.691488 | + | 0.722388i | \(0.256955\pi\) |
−0.960040 | + | 0.279862i | \(0.909711\pi\) | |||||||
\(402\) | −12.2245 | + | 8.89490i | −0.609703 | + | 0.443637i | ||||
\(403\) | 25.9199 | + | 22.7312i | 1.29116 | + | 1.13232i | ||||
\(404\) | 8.91454 | − | 21.7386i | 0.443515 | − | 1.08154i | ||||
\(405\) | −3.50313 | + | 1.82421i | −0.174072 | + | 0.0906460i | ||||
\(406\) | −0.752518 | + | 0.619804i | −0.0373468 | + | 0.0307604i | ||||
\(407\) | 16.6872 | − | 12.8046i | 0.827156 | − | 0.634699i | ||||
\(408\) | −1.41821 | − | 5.79871i | −0.0702119 | − | 0.287079i | ||||
\(409\) | 10.8513 | + | 8.32650i | 0.536563 | + | 0.411719i | 0.841179 | − | 0.540756i | \(-0.181862\pi\) |
−0.304617 | + | 0.952475i | \(0.598528\pi\) | |||||||
\(410\) | −0.0799059 | − | 2.31571i | −0.00394627 | − | 0.114365i | ||||
\(411\) | −11.4378 | − | 7.55200i | −0.564183 | − | 0.372513i | ||||
\(412\) | −24.2667 | + | 27.8690i | −1.19553 | + | 1.37301i | ||||
\(413\) | −0.622007 | − | 0.930899i | −0.0306069 | − | 0.0458065i | ||||
\(414\) | 15.5372 | + | 0.310497i | 0.763611 | + | 0.0152601i | ||||
\(415\) | − | 0.810651i | − | 0.0397933i | ||||||
\(416\) | −20.6624 | − | 14.5318i | −1.01306 | − | 0.712482i | ||||
\(417\) | 26.6270 | − | 7.29153i | 1.30393 | − | 0.357068i | ||||
\(418\) | 23.6563 | − | 38.1928i | 1.15707 | − | 1.86807i | ||||
\(419\) | 9.42116 | − | 19.1042i | 0.460254 | − | 0.933302i | −0.535783 | − | 0.844356i | \(-0.679983\pi\) |
0.996036 | − | 0.0889463i | \(-0.0283500\pi\) | |||||||
\(420\) | 0.132232 | − | 0.153555i | 0.00645226 | − | 0.00749270i | ||||
\(421\) | −3.12898 | − | 1.06215i | −0.152497 | − | 0.0517658i | 0.244147 | − | 0.969738i | \(-0.421492\pi\) |
−0.396644 | + | 0.917972i | \(0.629825\pi\) | |||||||
\(422\) | 8.29017 | − | 15.5760i | 0.403559 | − | 0.758226i | ||||
\(423\) | −2.98738 | + | 3.98299i | −0.145251 | + | 0.193660i | ||||
\(424\) | −20.6318 | + | 2.14257i | −1.00197 | + | 0.104053i | ||||
\(425\) | 4.64750 | − | 3.56615i | 0.225437 | − | 0.172984i | ||||
\(426\) | −25.5455 | − | 2.32900i | −1.23768 | − | 0.112840i | ||||
\(427\) | 0.123970 | − | 1.89142i | 0.00599933 | − | 0.0915321i | ||||
\(428\) | −20.8547 | + | 27.3782i | −1.00805 | + | 1.32338i | ||||
\(429\) | 18.7919 | − | 38.6392i | 0.907279 | − | 1.86552i | ||||
\(430\) | 1.95372 | − | 0.739271i | 0.0942165 | − | 0.0356508i | ||||
\(431\) | −14.4506 | − | 14.4506i | −0.696061 | − | 0.696061i | 0.267497 | − | 0.963559i | \(-0.413803\pi\) |
−0.963559 | + | 0.267497i | \(0.913803\pi\) | |||||||
\(432\) | −13.3327 | + | 15.9449i | −0.641471 | + | 0.767147i | ||||
\(433\) | 22.4670 | − | 22.4670i | 1.07970 | − | 1.07970i | 0.0831592 | − | 0.996536i | \(-0.473499\pi\) |
0.996536 | − | 0.0831592i | \(-0.0265010\pi\) | |||||||
\(434\) | −0.598303 | + | 1.32672i | −0.0287195 | + | 0.0636844i | ||||
\(435\) | −3.53504 | − | 1.71923i | −0.169492 | − | 0.0824310i | ||||
\(436\) | 6.67738 | + | 1.76392i | 0.319789 | + | 0.0844767i | ||||
\(437\) | −20.9013 | − | 1.36994i | −0.999845 | − | 0.0655333i | ||||
\(438\) | 11.9787 | + | 14.3820i | 0.572364 | + | 0.687199i | ||||
\(439\) | 13.3246 | + | 17.3650i | 0.635948 | + | 0.828784i | 0.994501 | − | 0.104725i | \(-0.0333964\pi\) |
−0.358553 | + | 0.933509i | \(0.616730\pi\) | |||||||
\(440\) | 6.58775 | − | 2.03658i | 0.314059 | − | 0.0970901i | ||||
\(441\) | −19.2631 | + | 8.22788i | −0.917289 | + | 0.391804i | ||||
\(442\) | 2.24685 | + | 7.36003i | 0.106872 | + | 0.350081i | ||||
\(443\) | −3.78570 | + | 11.1523i | −0.179864 | + | 0.529863i | −0.999046 | − | 0.0436713i | \(-0.986095\pi\) |
0.819182 | + | 0.573534i | \(0.194428\pi\) | |||||||
\(444\) | 11.7108 | − | 5.90709i | 0.555771 | − | 0.280338i | ||||
\(445\) | −1.08457 | − | 0.534853i | −0.0514137 | − | 0.0253544i | ||||
\(446\) | −3.62894 | + | 0.852916i | −0.171835 | + | 0.0403868i | ||||
\(447\) | 1.41310 | + | 5.16032i | 0.0668375 | + | 0.244075i | ||||
\(448\) | 0.332053 | − | 1.01338i | 0.0156880 | − | 0.0478775i | ||||
\(449\) | −16.0139 | −0.755742 | −0.377871 | − | 0.925858i | \(-0.623344\pi\) | ||||
−0.377871 | + | 0.925858i | \(0.623344\pi\) | |||||||
\(450\) | −19.5917 | − | 5.67148i | −0.923563 | − | 0.267356i | ||||
\(451\) | 17.2447 | − | 11.5226i | 0.812023 | − | 0.542576i | ||||
\(452\) | −2.81272 | + | 8.38326i | −0.132299 | + | 0.394315i | ||||
\(453\) | 2.75790 | − | 4.17693i | 0.129577 | − | 0.196249i | ||||
\(454\) | −24.1320 | + | 25.8570i | −1.13257 | + | 1.21353i | ||||
\(455\) | −0.159023 | + | 0.207243i | −0.00745513 | + | 0.00971572i | ||||
\(456\) | 18.9289 | − | 20.6524i | 0.886428 | − | 0.967137i | ||||
\(457\) | 0.454412 | + | 0.592201i | 0.0212565 | + | 0.0277020i | 0.803861 | − | 0.594818i | \(-0.202776\pi\) |
−0.782604 | + | 0.622520i | \(0.786109\pi\) | |||||||
\(458\) | −1.50882 | + | 15.6019i | −0.0705024 | + | 0.729029i | ||||
\(459\) | 6.18890 | − | 1.33733i | 0.288873 | − | 0.0624214i | ||||
\(460\) | −2.28130 | − | 2.26523i | −0.106366 | − | 0.105617i | ||||
\(461\) | 5.37383 | − | 6.12768i | 0.250284 | − | 0.285394i | −0.613032 | − | 0.790058i | \(-0.710050\pi\) |
0.863316 | + | 0.504664i | \(0.168384\pi\) | |||||||
\(462\) | 1.79171 | + | 0.282475i | 0.0833581 | + | 0.0131419i | ||||
\(463\) | 12.4948 | + | 3.34797i | 0.580682 | + | 0.155593i | 0.537191 | − | 0.843461i | \(-0.319485\pi\) |
0.0434910 | + | 0.999054i | \(0.486152\pi\) | |||||||
\(464\) | −20.6510 | − | 1.20698i | −0.958696 | − | 0.0560326i | ||||
\(465\) | −5.86820 | + | 0.0322052i | −0.272131 | + | 0.00149348i | ||||
\(466\) | 33.6240 | − | 12.7231i | 1.55760 | − | 0.589385i | ||||
\(467\) | −3.67250 | + | 18.4629i | −0.169943 | + | 0.854362i | 0.797897 | + | 0.602794i | \(0.205946\pi\) |
−0.967840 | + | 0.251567i | \(0.919054\pi\) | |||||||
\(468\) | 16.0005 | − | 21.4909i | 0.739622 | − | 0.993415i | ||||
\(469\) | 0.684062 | + | 0.457076i | 0.0315870 | + | 0.0211058i | ||||
\(470\) | 1.01594 | − | 0.169577i | 0.0468618 | − | 0.00782202i | ||||
\(471\) | −3.81194 | + | 30.2359i | −0.175645 | + | 1.39320i | ||||
\(472\) | 3.74542 | − | 23.4589i | 0.172397 | − | 1.07978i | ||||
\(473\) | 14.8338 | + | 11.3824i | 0.682060 | + | 0.523363i | ||||
\(474\) | 21.2172 | + | 4.78511i | 0.974536 | + | 0.219787i | ||||
\(475\) | 26.0322 | + | 8.83673i | 1.19444 | + | 0.405457i | ||||
\(476\) | −0.269473 | + | 0.181437i | −0.0123513 | + | 0.00831615i | ||||
\(477\) | −1.67981 | − | 21.9368i | −0.0769134 | − | 1.00442i | ||||
\(478\) | −10.5098 | − | 19.5792i | −0.480708 | − | 0.895530i | ||||
\(479\) | −31.9394 | − | 18.4402i | −1.45935 | − | 0.842555i | −0.460368 | − | 0.887728i | \(-0.652283\pi\) |
−0.998979 | + | 0.0451735i | \(0.985616\pi\) | |||||||
\(480\) | 4.27264 | − | 0.482710i | 0.195018 | − | 0.0220326i | ||||
\(481\) | −14.6428 | + | 8.45400i | −0.667652 | + | 0.385469i | ||||
\(482\) | −21.0213 | − | 13.0204i | −0.957493 | − | 0.593063i | ||||
\(483\) | −0.276228 | − | 0.799304i | −0.0125688 | − | 0.0363696i | ||||
\(484\) | 29.9554 | + | 26.0834i | 1.36161 | + | 1.18561i | ||||
\(485\) | −1.09918 | − | 5.52596i | −0.0499113 | − | 0.250921i | ||||
\(486\) | −16.5234 | − | 14.5938i | −0.749516 | − | 0.661986i | ||||
\(487\) | 24.5477 | − | 10.1680i | 1.11236 | − | 0.460755i | 0.250611 | − | 0.968088i | \(-0.419368\pi\) |
0.861750 | + | 0.507332i | \(0.169368\pi\) | |||||||
\(488\) | 29.2086 | − | 27.6490i | 1.32221 | − | 1.25161i | ||||
\(489\) | −24.0869 | − | 18.2734i | −1.08925 | − | 0.826352i | ||||
\(490\) | 4.05830 | + | 1.51925i | 0.183335 | + | 0.0686329i | ||||
\(491\) | 0.420434 | − | 6.41459i | 0.0189739 | − | 0.289486i | −0.977818 | − | 0.209455i | \(-0.932831\pi\) |
0.996792 | − | 0.0800318i | \(-0.0255022\pi\) | |||||||
\(492\) | 11.9035 | − | 5.05690i | 0.536651 | − | 0.227983i | ||||
\(493\) | 4.73791 | + | 4.15504i | 0.213385 | + | 0.187134i | ||||
\(494\) | −22.8607 | + | 27.9565i | −1.02855 | + | 1.25782i | ||||
\(495\) | 1.97033 | + | 7.04323i | 0.0885599 | + | 0.316570i | ||||
\(496\) | −28.4464 | + | 12.0192i | −1.27728 | + | 0.539677i | ||||
\(497\) | 0.361293 | + | 1.34836i | 0.0162062 | + | 0.0604823i | ||||
\(498\) | 4.22307 | − | 1.62453i | 0.189240 | − | 0.0727968i | ||||
\(499\) | 7.88256 | + | 23.2213i | 0.352872 | + | 1.03953i | 0.967968 | + | 0.251075i | \(0.0807840\pi\) |
−0.615096 | + | 0.788452i | \(0.710883\pi\) | |||||||
\(500\) | 4.33029 | + | 7.43943i | 0.193657 | + | 0.332702i | ||||
\(501\) | −17.5446 | − | 5.84842i | −0.783837 | − | 0.261288i | ||||
\(502\) | −5.52353 | + | 7.73692i | −0.246527 | + | 0.345316i | ||||
\(503\) | −13.7284 | + | 33.1432i | −0.612118 | + | 1.47778i | 0.248552 | + | 0.968619i | \(0.420045\pi\) |
−0.860669 | + | 0.509164i | \(0.829955\pi\) | |||||||
\(504\) | 1.06493 | + | 0.381139i | 0.0474357 | + | 0.0169773i | ||||
\(505\) | −1.97292 | − | 4.76304i | −0.0877936 | − | 0.211953i | ||||
\(506\) | 6.48488 | − | 28.0361i | 0.288288 | − | 1.24636i | ||||
\(507\) | −6.62409 | + | 10.0324i | −0.294186 | + | 0.445555i | ||||
\(508\) | 1.06011 | − | 17.1002i | 0.0470349 | − | 0.758697i | ||||
\(509\) | 31.7383 | + | 15.6516i | 1.40678 | + | 0.693745i | 0.977794 | − | 0.209569i | \(-0.0672059\pi\) |
0.428981 | + | 0.903313i | \(0.358873\pi\) | |||||||
\(510\) | −1.11734 | − | 0.683617i | −0.0494768 | − | 0.0302711i | ||||
\(511\) | 0.509285 | − | 0.882107i | 0.0225294 | − | 0.0390221i | ||||
\(512\) | 19.7834 | − | 10.9826i | 0.874312 | − | 0.485365i | ||||
\(513\) | 21.3541 | + | 20.6623i | 0.942808 | + | 0.912263i | ||||
\(514\) | −22.1148 | − | 6.66579i | −0.975442 | − | 0.294015i | ||||
\(515\) | 0.530320 | + | 8.09111i | 0.0233687 | + | 0.356537i | ||||
\(516\) | 7.76642 | + | 8.69635i | 0.341897 | + | 0.382835i | ||||
\(517\) | 6.07878 | + | 6.93151i | 0.267344 | + | 0.304848i | ||||
\(518\) | −0.521821 | − | 0.487010i | −0.0229275 | − | 0.0213980i | ||||
\(519\) | 2.25071 | + | 0.917837i | 0.0987953 | + | 0.0402886i | ||||
\(520\) | −5.46394 | + | 0.931887i | −0.239610 | + | 0.0408660i | ||||
\(521\) | 9.07935 | − | 21.9195i | 0.397773 | − | 0.960310i | −0.590420 | − | 0.807096i | \(-0.701038\pi\) |
0.988193 | − | 0.153214i | \(-0.0489623\pi\) | |||||||
\(522\) | 1.87217 | − | 21.8610i | 0.0819427 | − | 0.956830i | ||||
\(523\) | 17.6895 | − | 26.4742i | 0.773508 | − | 1.15764i | −0.210163 | − | 0.977666i | \(-0.567400\pi\) |
0.983672 | − | 0.179971i | \(-0.0576004\pi\) | |||||||
\(524\) | −6.69277 | + | 11.6874i | −0.292375 | + | 0.510568i | ||||
\(525\) | 0.0786706 | + | 1.10715i | 0.00343347 | + | 0.0483198i | ||||
\(526\) | −6.08574 | + | 4.37728i | −0.265351 | + | 0.190859i | ||||
\(527\) | 9.08701 | + | 2.43486i | 0.395836 | + | 0.106064i | ||||
\(528\) | 23.8112 | + | 30.2375i | 1.03625 | + | 1.31592i | ||||
\(529\) | 9.25675 | − | 2.48034i | 0.402467 | − | 0.107841i | ||||
\(530\) | −2.88120 | + | 3.52343i | −0.125151 | + | 0.153048i | ||||
\(531\) | 24.7654 | + | 4.64417i | 1.07473 | + | 0.201540i | ||||
\(532\) | −1.41054 | − | 0.578432i | −0.0611547 | − | 0.0250782i | ||||
\(533\) | −14.9526 | + | 7.37379i | −0.647667 | + | 0.319394i | ||||
\(534\) | 0.612839 | − | 6.72189i | 0.0265202 | − | 0.290885i | ||||
\(535\) | 0.985707 | + | 7.48719i | 0.0426158 | + | 0.323699i | ||||
\(536\) | 4.05413 | + | 16.9796i | 0.175112 | + | 0.733408i | ||||
\(537\) | 25.9199 | − | 3.55725i | 1.11853 | − | 0.153507i | ||||
\(538\) | −3.68130 | + | 2.29821i | −0.158712 | + | 0.0990831i | ||||
\(539\) | 7.56707 | + | 38.0422i | 0.325937 | + | 1.63859i | ||||
\(540\) | 0.389228 | + | 4.54401i | 0.0167497 | + | 0.195543i | ||||
\(541\) | −10.8094 | − | 16.1774i | −0.464733 | − | 0.695523i | 0.522884 | − | 0.852404i | \(-0.324856\pi\) |
−0.987618 | + | 0.156881i | \(0.949856\pi\) | |||||||
\(542\) | −0.515476 | + | 16.6458i | −0.0221416 | + | 0.714997i | ||||
\(543\) | −11.3068 | + | 43.1432i | −0.485221 | + | 1.85145i | ||||
\(544\) | −6.81072 | − | 1.06271i | −0.292007 | − | 0.0455635i | ||||
\(545\) | 1.31241 | − | 0.757720i | 0.0562175 | − | 0.0324572i | ||||
\(546\) | −1.39831 | − | 0.413117i | −0.0598421 | − | 0.0176798i | ||||
\(547\) | −6.17225 | + | 0.404551i | −0.263907 | + | 0.0172973i | −0.196782 | − | 0.980447i | \(-0.563049\pi\) |
−0.0671245 | + | 0.997745i | \(0.521382\pi\) | |||||||
\(548\) | −13.1280 | + | 8.83911i | −0.560799 | + | 0.377588i | ||||
\(549\) | 28.4775 | + | 31.7622i | 1.21539 | + | 1.35558i | ||||
\(550\) | −17.7448 | + | 33.3398i | −0.756641 | + | 1.42161i | ||||
\(551\) | −3.86011 | + | 29.3204i | −0.164446 | + | 1.24909i | ||||
\(552\) | 7.22898 | − | 16.4239i | 0.307686 | − | 0.699045i | ||||
\(553\) | −0.154493 | − | 1.17349i | −0.00656972 | − | 0.0499020i | ||||
\(554\) | −7.51451 | + | 20.0731i | −0.319261 | + | 0.852825i | ||||
\(555\) | 0.910143 | − | 2.73033i | 0.0386334 | − | 0.115896i | ||||
\(556\) | 4.04919 | − | 31.6200i | 0.171724 | − | 1.34098i | ||||
\(557\) | −4.07602 | + | 20.4915i | −0.172706 | + | 0.868253i | 0.793120 | + | 0.609065i | \(0.208455\pi\) |
−0.965827 | + | 0.259188i | \(0.916545\pi\) | |||||||
\(558\) | −11.9275 | − | 30.5057i | −0.504932 | − | 1.29141i | ||||
\(559\) | −10.6279 | − | 10.6279i | −0.449511 | − | 0.449511i | ||||
\(560\) | −0.104973 | − | 0.209124i | −0.00443593 | − | 0.00883712i | ||||
\(561\) | −0.0643450 | − | 11.7245i | −0.00271665 | − | 0.495007i | ||||
\(562\) | −18.2070 | − | 25.3132i | −0.768017 | − | 1.06777i | ||||
\(563\) | −1.46196 | − | 4.30678i | −0.0616141 | − | 0.181509i | 0.911764 | − | 0.410714i | \(-0.134721\pi\) |
−0.973378 | + | 0.229205i | \(0.926387\pi\) | |||||||
\(564\) | 2.91933 | + | 4.95268i | 0.122926 | + | 0.208545i | ||||
\(565\) | 0.858158 | + | 1.74017i | 0.0361030 | + | 0.0732096i | ||||
\(566\) | 0.101213 | − | 1.04659i | 0.00425431 | − | 0.0439917i | ||||
\(567\) | −0.434662 | + | 1.11818i | −0.0182541 | + | 0.0469592i | ||||
\(568\) | −13.8239 | + | 26.1959i | −0.580040 | + | 1.09916i | ||||
\(569\) | 25.4092 | + | 3.34519i | 1.06521 | + | 0.140238i | 0.642698 | − | 0.766119i | \(-0.277815\pi\) |
0.422513 | + | 0.906357i | \(0.361148\pi\) | |||||||
\(570\) | −0.245699 | − | 6.14221i | −0.0102912 | − | 0.257269i | ||||
\(571\) | −1.78491 | − | 2.03530i | −0.0746960 | − | 0.0851745i | 0.713285 | − | 0.700874i | \(-0.247207\pi\) |
−0.787981 | + | 0.615700i | \(0.788873\pi\) | |||||||
\(572\) | −32.8441 | − | 37.1855i | −1.37328 | − | 1.55481i | ||||
\(573\) | −1.85841 | + | 9.61846i | −0.0776364 | + | 0.401817i | ||||
\(574\) | −0.482025 | − | 0.512833i | −0.0201193 | − | 0.0214052i | ||||
\(575\) | 17.6090 | 0.734345 | ||||||||
\(576\) | 11.0769 | + | 21.2909i | 0.461539 | + | 0.887120i | ||||
\(577\) | −15.4697 | −0.644013 | −0.322006 | − | 0.946738i | \(-0.604357\pi\) | ||||
−0.322006 | + | 0.946738i | \(0.604357\pi\) | |||||||
\(578\) | −15.0275 | − | 15.9879i | −0.625061 | − | 0.665011i | ||||
\(579\) | −20.1562 | − | 17.4818i | −0.837665 | − | 0.726519i | ||||
\(580\) | −3.40204 | + | 3.00485i | −0.141262 | + | 0.124770i | ||||
\(581\) | −0.162353 | − | 0.185128i | −0.00673552 | − | 0.00768039i | ||||
\(582\) | 26.5846 | − | 16.8001i | 1.10197 | − | 0.696385i | ||||
\(583\) | −40.3914 | − | 5.31762i | −1.67284 | − | 0.220233i | ||||
\(584\) | 20.6485 | − | 6.38341i | 0.854441 | − | 0.264147i | ||||
\(585\) | −0.831302 | − | 5.82000i | −0.0343701 | − | 0.240627i | ||||
\(586\) | −0.362056 | + | 3.74384i | −0.0149564 | + | 0.154656i | ||||
\(587\) | 15.4998 | + | 31.4304i | 0.639744 | + | 1.29727i | 0.939268 | + | 0.343184i | \(0.111505\pi\) |
−0.299524 | + | 0.954089i | \(0.596828\pi\) | |||||||
\(588\) | 0.218234 | + | 24.1862i | 0.00899983 | + | 0.997421i | ||||
\(589\) | 14.1911 | + | 41.8056i | 0.584734 | + | 1.72257i | ||||
\(590\) | −3.04374 | − | 4.23172i | −0.125309 | − | 0.174217i | ||||
\(591\) | −21.2601 | + | 12.4306i | −0.874523 | + | 0.511326i | ||||
\(592\) | −1.09737 | − | 15.1056i | −0.0451017 | − | 0.620835i | ||||
\(593\) | −13.8865 | − | 13.8865i | −0.570252 | − | 0.570252i | 0.361947 | − | 0.932199i | \(-0.382112\pi\) |
−0.932199 | + | 0.361947i | \(0.882112\pi\) | |||||||
\(594\) | −32.7430 | + | 24.3789i | −1.34346 | + | 1.00028i | ||||
\(595\) | −0.0139065 | + | 0.0699128i | −0.000570112 | + | 0.00286615i | ||||
\(596\) | 6.12796 | + | 0.784735i | 0.251011 | + | 0.0321440i | ||||
\(597\) | −7.84537 | − | 8.84751i | −0.321090 | − | 0.362104i | ||||
\(598\) | −8.10992 | + | 21.6636i | −0.331639 | + | 0.885890i | ||||
\(599\) | 4.20273 | + | 31.9229i | 0.171719 | + | 1.30433i | 0.832613 | + | 0.553855i | \(0.186844\pi\) |
−0.660894 | + | 0.750479i | \(0.729823\pi\) | |||||||
\(600\) | −14.7435 | + | 18.3656i | −0.601903 | + | 0.749774i | ||||
\(601\) | −0.899304 | + | 6.83089i | −0.0366834 | + | 0.278638i | 0.963266 | + | 0.268550i | \(0.0865444\pi\) |
−0.999949 | + | 0.0100878i | \(0.996789\pi\) | |||||||
\(602\) | 0.298111 | − | 0.560106i | 0.0121501 | − | 0.0228282i | ||||
\(603\) | −18.1193 | + | 3.81137i | −0.737876 | + | 0.155211i | ||||
\(604\) | −3.22793 | − | 4.79417i | −0.131343 | − | 0.195072i | ||||
\(605\) | 8.69686 | − | 0.570022i | 0.353577 | − | 0.0231747i | ||||
\(606\) | 20.8593 | − | 19.8229i | 0.847350 | − | 0.805250i | ||||
\(607\) | 2.96071 | − | 1.70937i | 0.120172 | − | 0.0693811i | −0.438709 | − | 0.898629i | \(-0.644564\pi\) |
0.558881 | + | 0.829248i | \(0.311231\pi\) | |||||||
\(608\) | −13.6104 | − | 29.3461i | −0.551973 | − | 1.19014i | ||||
\(609\) | −1.15161 | + | 0.315357i | −0.0466657 | + | 0.0127789i | ||||
\(610\) | 0.273161 | − | 8.82090i | 0.0110599 | − | 0.357148i | ||||
\(611\) | −4.11734 | − | 6.16203i | −0.166570 | − | 0.249289i | ||||
\(612\) | 1.32216 | − | 7.19072i | 0.0534450 | − | 0.290668i | ||||
\(613\) | 4.97044 | + | 24.9881i | 0.200754 | + | 1.00926i | 0.941382 | + | 0.337343i | \(0.109528\pi\) |
−0.740627 | + | 0.671916i | \(0.765472\pi\) | |||||||
\(614\) | −37.6947 | + | 23.5325i | −1.52123 | + | 0.949696i | ||||
\(615\) | 1.07159 | − | 2.62774i | 0.0432107 | − | 0.105961i | ||||
\(616\) | 1.09656 | − | 1.78445i | 0.0441818 | − | 0.0718975i | ||||
\(617\) | 5.63613 | + | 42.8107i | 0.226902 | + | 1.72349i | 0.603713 | + | 0.797202i | \(0.293687\pi\) |
−0.376811 | + | 0.926290i | \(0.622979\pi\) | |||||||
\(618\) | −41.0877 | + | 18.9771i | −1.65279 | + | 0.763371i | ||||
\(619\) | 18.6954 | − | 9.21957i | 0.751433 | − | 0.370566i | −0.0258923 | − | 0.999665i | \(-0.508243\pi\) |
0.777325 | + | 0.629099i | \(0.216576\pi\) | |||||||
\(620\) | −2.57096 | + | 6.26944i | −0.103252 | + | 0.251787i | ||||
\(621\) | 17.2064 | + | 8.13586i | 0.690468 | + | 0.326481i | ||||
\(622\) | −16.4484 | + | 20.1148i | −0.659521 | + | 0.806532i | ||||
\(623\) | −0.354800 | + | 0.0950685i | −0.0142148 | + | 0.00380884i | ||||
\(624\) | −15.8043 | − | 26.5968i | −0.632677 | − | 1.06472i | ||||
\(625\) | −21.3936 | − | 5.73239i | −0.855743 | − | 0.229296i | ||||
\(626\) | 23.4527 | − | 16.8688i | 0.937358 | − | 0.674212i | ||||
\(627\) | 45.5810 | − | 30.8194i | 1.82033 | − | 1.23081i | ||||
\(628\) | 30.5372 | + | 17.4871i | 1.21857 | + | 0.697809i | ||||
\(629\) | −2.56331 | + | 3.83626i | −0.102206 | + | 0.152962i | ||||
\(630\) | 0.224740 | − | 0.105301i | 0.00895387 | − | 0.00419528i | ||||
\(631\) | 1.65362 | − | 3.99220i | 0.0658296 | − | 0.158927i | −0.887541 | − | 0.460729i | \(-0.847588\pi\) |
0.953371 | + | 0.301802i | \(0.0975881\pi\) | |||||||
\(632\) | 14.5204 | − | 20.4918i | 0.577589 | − | 0.815119i | ||||
\(633\) | 17.0722 | − | 13.2494i | 0.678558 | − | 0.526618i | ||||
\(634\) | 14.6457 | + | 13.6686i | 0.581653 | + | 0.542851i | ||||
\(635\) | −2.47874 | − | 2.82646i | −0.0983659 | − | 0.112165i | ||||
\(636\) | −24.1291 | − | 7.94866i | −0.956781 | − | 0.315185i | ||||
\(637\) | −2.03922 | − | 31.1126i | −0.0807970 | − | 1.23272i | ||||
\(638\) | −38.9001 | − | 11.7252i | −1.54007 | − | 0.464204i | ||||
\(639\) | −27.3782 | − | 15.4087i | −1.08307 | − | 0.609557i | ||||
\(640\) | 1.38238 | − | 4.76868i | 0.0546432 | − | 0.188499i | ||||
\(641\) | −12.5373 | + | 21.7152i | −0.495193 | + | 0.857699i | −0.999985 | − | 0.00554226i | \(-0.998236\pi\) |
0.504792 | + | 0.863241i | \(0.331569\pi\) | |||||||
\(642\) | −37.0290 | + | 20.1392i | −1.46142 | + | 0.794830i | ||||
\(643\) | 7.73239 | + | 3.81319i | 0.304936 | + | 0.150378i | 0.588319 | − | 0.808629i | \(-0.299790\pi\) |
−0.283383 | + | 0.959007i | \(0.591457\pi\) | |||||||
\(644\) | −0.974646 | − | 0.0604225i | −0.0384064 | − | 0.00238098i | ||||
\(645\) | 2.55378 | + | 0.153313i | 0.100555 | + | 0.00603669i | ||||
\(646\) | −2.22077 | + | 9.60107i | −0.0873751 | + | 0.377749i | ||||
\(647\) | −1.58724 | − | 3.83193i | −0.0624007 | − | 0.150649i | 0.889603 | − | 0.456734i | \(-0.150981\pi\) |
−0.952004 | + | 0.306085i | \(0.900981\pi\) | |||||||
\(648\) | −22.8919 | + | 11.1338i | −0.899279 | + | 0.437376i | ||||
\(649\) | 17.8553 | − | 43.1064i | 0.700881 | − | 1.69208i | ||||
\(650\) | 17.6403 | − | 24.7091i | 0.691908 | − | 0.969169i | ||||
\(651\) | −1.33367 | + | 1.18260i | −0.0522705 | + | 0.0463499i | ||||
\(652\) | −30.1721 | + | 17.5624i | −1.18163 | + | 0.687796i | ||||
\(653\) | −5.73182 | − | 16.8854i | −0.224304 | − | 0.660777i | −0.999575 | − | 0.0291488i | \(-0.990720\pi\) |
0.775272 | − | 0.631628i | \(-0.217613\pi\) | |||||||
\(654\) | 6.57736 | + | 5.31851i | 0.257195 | + | 0.207970i | ||||
\(655\) | 0.764868 | + | 2.85453i | 0.0298859 | + | 0.111536i | ||||
\(656\) | −0.105576 | − | 14.9335i | −0.00412206 | − | 0.583055i | ||||
\(657\) | 6.17577 | + | 22.0762i | 0.240940 | + | 0.861273i | ||||
\(658\) | 0.198047 | − | 0.242193i | 0.00772068 | − | 0.00944166i | ||||
\(659\) | 15.2938 | + | 13.4123i | 0.595764 | + | 0.522471i | 0.903268 | − | 0.429076i | \(-0.141161\pi\) |
−0.307505 | + | 0.951546i | \(0.599494\pi\) | |||||||
\(660\) | 8.38242 | + | 1.02671i | 0.326285 | + | 0.0399647i | ||||
\(661\) | −0.597712 | + | 9.11933i | −0.0232483 | + | 0.354701i | 0.970348 | + | 0.241712i | \(0.0777090\pi\) |
−0.993596 | + | 0.112989i | \(0.963958\pi\) | |||||||
\(662\) | 5.62676 | + | 2.10642i | 0.218690 | + | 0.0818682i | ||||
\(663\) | −1.17889 | + | 9.35082i | −0.0457843 | + | 0.363156i | ||||
\(664\) | 0.143258 | − | 5.22277i | 0.00555950 | − | 0.202683i | ||||
\(665\) | −0.309057 | + | 0.128015i | −0.0119847 | + | 0.00496423i | ||||
\(666\) | 16.0475 | − | 0.730157i | 0.621828 | − | 0.0282930i | ||||
\(667\) | 3.69555 | + | 18.5788i | 0.143092 | + | 0.719374i | ||||
\(668\) | −14.0233 | + | 16.1050i | −0.542578 | + | 0.623121i | ||||
\(669\) | −4.48273 | − | 0.866124i | −0.173312 | − | 0.0334863i | ||||
\(670\) | 3.25641 | + | 2.01700i | 0.125806 | + | 0.0779233i | ||||
\(671\) | 68.4100 | − | 39.4965i | 2.64094 | − | 1.52475i | ||||
\(672\) | 0.879065 | − | 0.965936i | 0.0339107 | − | 0.0372618i | ||||
\(673\) | 21.3402 | + | 12.3208i | 0.822605 | + | 0.474931i | 0.851314 | − | 0.524656i | \(-0.175806\pi\) |
−0.0287088 | + | 0.999588i | \(0.509140\pi\) | |||||||
\(674\) | −6.27696 | − | 11.6936i | −0.241780 | − | 0.450421i | ||||
\(675\) | −19.0496 | − | 16.1591i | −0.733220 | − | 0.621962i | ||||
\(676\) | 7.75306 | + | 11.5149i | 0.298194 | + | 0.442883i | ||||
\(677\) | −3.88943 | − | 1.32028i | −0.149483 | − | 0.0507426i | 0.245695 | − | 0.969347i | \(-0.420984\pi\) |
−0.395178 | + | 0.918605i | \(0.629317\pi\) | |||||||
\(678\) | −7.34566 | + | 7.95782i | −0.282108 | + | 0.305618i | ||||
\(679\) | −1.35773 | − | 1.04182i | −0.0521048 | − | 0.0399814i | ||||
\(680\) | −1.22476 | + | 0.887516i | −0.0469673 | + | 0.0340347i | ||||
\(681\) | −39.9286 | + | 16.7963i | −1.53007 | + | 0.643634i | ||||
\(682\) | −59.8248 | + | 9.98577i | −2.29081 | + | 0.382375i | ||||
\(683\) | 35.3482 | + | 23.6189i | 1.35256 | + | 0.903753i | 0.999493 | − | 0.0318439i | \(-0.0101379\pi\) |
0.353069 | + | 0.935597i | \(0.385138\pi\) | |||||||
\(684\) | 31.5053 | − | 13.5888i | 1.20463 | − | 0.519581i | ||||
\(685\) | −0.677487 | + | 3.40596i | −0.0258855 | + | 0.130135i | ||||
\(686\) | 2.46525 | − | 0.932832i | 0.0941236 | − | 0.0356157i | ||||
\(687\) | −9.50737 | + | 16.6780i | −0.362729 | + | 0.636304i | ||||
\(688\) | 12.7178 | − | 4.41763i | 0.484862 | − | 0.168421i | ||||
\(689\) | 31.6328 | + | 8.47599i | 1.20512 | + | 0.322910i | ||||
\(690\) | −1.41366 | − | 3.67491i | −0.0538172 | − | 0.139901i | ||||
\(691\) | 4.25055 | − | 4.84682i | 0.161699 | − | 0.184382i | −0.665317 | − | 0.746561i | \(-0.731704\pi\) |
0.827015 | + | 0.562179i | \(0.190037\pi\) | |||||||
\(692\) | 1.97760 | − | 1.99163i | 0.0751772 | − | 0.0757105i | ||||
\(693\) | 1.86054 | + | 1.21385i | 0.0706762 | + | 0.0461103i | ||||
\(694\) | −2.89586 | + | 29.9446i | −0.109925 | + | 1.13668i | ||||
\(695\) | −4.25819 | − | 5.54938i | −0.161522 | − | 0.210500i | ||||
\(696\) | −22.4713 | − | 11.7012i | −0.851773 | − | 0.443533i | ||||
\(697\) | −2.76950 | + | 3.60928i | −0.104902 | + | 0.136711i | ||||
\(698\) | −28.7445 | + | 30.7991i | −1.08799 | + | 1.16576i | ||||
\(699\) | 43.9513 | + | 2.63856i | 1.66239 | + | 0.0997995i | ||||
\(700\) | 1.21508 | + | 0.407679i | 0.0459256 | + | 0.0154088i | ||||
\(701\) | 38.2580 | − | 25.5632i | 1.44498 | − | 0.965507i | 0.447524 | − | 0.894272i | \(-0.352306\pi\) |
0.997460 | − | 0.0712353i | \(-0.0226941\pi\) | |||||||
\(702\) | 28.6532 | − | 15.9938i | 1.08145 | − | 0.603647i | ||||
\(703\) | −21.6522 | −0.816626 | ||||||||
\(704\) | 42.8027 | − | 11.9568i | 1.61319 | − | 0.450640i | ||||
\(705\) | 1.22027 | + | 0.319803i | 0.0459580 | + | 0.0120445i | ||||
\(706\) | −9.55829 | + | 2.24650i | −0.359731 | + | 0.0845482i | ||||
\(707\) | −1.40447 | − | 0.692607i | −0.0528204 | − | 0.0260482i | ||||
\(708\) | 15.9454 | − | 24.3365i | 0.599266 | − | 0.914624i | ||||
\(709\) | −2.28936 | + | 6.74424i | −0.0859787 | + | 0.253285i | −0.981413 | − | 0.191909i | \(-0.938532\pi\) |
0.895434 | + | 0.445194i | \(0.146865\pi\) | |||||||
\(710\) | 1.89763 | + | 6.21609i | 0.0712170 | + | 0.233286i | ||||
\(711\) | 21.3103 | + | 15.9834i | 0.799198 | + | 0.599425i | ||||
\(712\) | −6.89305 | − | 3.63755i | −0.258328 | − | 0.136323i | ||||
\(713\) | 17.2150 | + | 22.4350i | 0.644705 | + | 0.840196i | ||||
\(714\) | −0.392078 | + | 0.0676581i | −0.0146731 | + | 0.00253204i | ||||
\(715\) | −10.8631 | − | 0.712005i | −0.406257 | − | 0.0266275i | ||||
\(716\) | 7.71581 | − | 29.2084i | 0.288353 | − | 1.09157i | ||||
\(717\) | −1.92901 | − | 27.1473i | −0.0720403 | − | 1.01384i | ||||
\(718\) | 8.68830 | − | 19.2660i | 0.324244 | − | 0.719000i | ||||
\(719\) | 16.5301 | − | 16.5301i | 0.616470 | − | 0.616470i | −0.328154 | − | 0.944624i | \(-0.606426\pi\) |
0.944624 | + | 0.328154i | \(0.106426\pi\) | |||||||
\(720\) | 5.01644 | + | 1.60250i | 0.186952 | + | 0.0597217i | ||||
\(721\) | 1.74155 | + | 1.74155i | 0.0648587 | + | 0.0648587i | ||||
\(722\) | −18.1223 | + | 6.85732i | −0.674440 | + | 0.255203i | ||||
\(723\) | −16.9630 | − | 25.0877i | −0.630860 | − | 0.933023i | ||||
\(724\) | 40.9682 | + | 31.2066i | 1.52257 | + | 1.15978i | ||||
\(725\) | 1.62604 | − | 24.8085i | 0.0603895 | − | 0.921366i | ||||
\(726\) | 20.3978 | + | 44.1637i | 0.757034 | + | 1.63907i | ||||
\(727\) | 7.51715 | − | 5.76811i | 0.278796 | − | 0.213928i | −0.459893 | − | 0.887974i | \(-0.652112\pi\) |
0.738688 | + | 0.674047i | \(0.235445\pi\) | |||||||
\(728\) | −1.06116 | + | 1.30710i | −0.0393293 | + | 0.0484444i | ||||
\(729\) | −11.1481 | − | 24.5911i | −0.412892 | − | 0.910780i | ||||
\(730\) | 2.22813 | − | 4.18633i | 0.0824669 | − | 0.154943i | ||||
\(731\) | −3.88372 | − | 1.31835i | −0.143645 | − | 0.0487608i | ||||
\(732\) | 46.4997 | − | 16.2539i | 1.71868 | − | 0.600760i | ||||
\(733\) | 4.04347 | − | 8.19935i | 0.149349 | − | 0.302850i | −0.809323 | − | 0.587364i | \(-0.800166\pi\) |
0.958672 | + | 0.284514i | \(0.0918323\pi\) | |||||||
\(734\) | 25.1134 | − | 40.5452i | 0.926951 | − | 1.49655i | ||||
\(735\) | 3.77333 | + | 3.73214i | 0.139181 | + | 0.137662i | ||||
\(736\) | −14.2974 | − | 14.9973i | −0.527009 | − | 0.552808i | ||||
\(737\) | 34.2862i | 1.26295i | ||||||||
\(738\) | 15.8366 | + | 0.316480i | 0.582954 | + | 0.0116498i | ||||
\(739\) | −22.9806 | − | 34.3928i | −0.845354 | − | 1.26516i | −0.962291 | − | 0.272022i | \(-0.912308\pi\) |
0.116938 | − | 0.993139i | \(-0.462692\pi\) | |||||||
\(740\) | −2.50629 | − | 2.18233i | −0.0921331 | − | 0.0802242i | ||||
\(741\) | −39.5605 | + | 19.7797i | −1.45329 | + | 0.726625i | ||||
\(742\) | 0.0476761 | + | 1.38167i | 0.00175024 | + | 0.0507228i | ||||
\(743\) | 3.44095 | + | 2.64033i | 0.126236 | + | 0.0968645i | 0.669950 | − | 0.742406i | \(-0.266316\pi\) |
−0.543714 | + | 0.839271i | \(0.682982\pi\) | |||||||
\(744\) | −37.8126 | − | 0.829540i | −1.38628 | − | 0.0304124i | ||||
\(745\) | 1.07547 | − | 0.825240i | 0.0394023 | − | 0.0302345i | ||||
\(746\) | 20.7171 | − | 17.0635i | 0.758508 | − | 0.624738i | ||||
\(747\) | 5.53345 | + | 0.301726i | 0.202458 | + | 0.0110396i | ||||
\(748\) | −12.5261 | − | 5.13670i | −0.458001 | − | 0.187816i | ||||
\(749\) | 1.72460 | + | 1.51243i | 0.0630154 | + | 0.0552630i | ||||
\(750\) | 1.10944 | + | 10.4840i | 0.0405111 | + | 0.382821i | ||||
\(751\) | −8.51734 | + | 31.7871i | −0.310802 | + | 1.15993i | 0.617033 | + | 0.786938i | \(0.288335\pi\) |
−0.927835 | + | 0.372992i | \(0.878332\pi\) | |||||||
\(752\) | 6.57534 | − | 0.912996i | 0.239778 | − | 0.0332935i | ||||
\(753\) | −10.0508 | + | 5.87663i | −0.366273 | + | 0.214156i | ||||
\(754\) | 29.7720 | + | 13.4262i | 1.08423 | + | 0.488952i | ||||
\(755\) | −1.24381 | − | 0.247410i | −0.0452671 | − | 0.00900418i | ||||
\(756\) | 0.998936 | + | 0.959759i | 0.0363310 | + | 0.0349061i | ||||
\(757\) | 9.65389 | − | 14.4481i | 0.350877 | − | 0.525124i | −0.613487 | − | 0.789705i | \(-0.710234\pi\) |
0.964363 | + | 0.264581i | \(0.0852336\pi\) | |||||||
\(758\) | 6.83068 | − | 9.56788i | 0.248102 | − | 0.347521i | ||||
\(759\) | 21.3012 | − | 28.0780i | 0.773185 | − | 1.01917i | ||||
\(760\) | −6.65630 | − | 2.46504i | −0.241449 | − | 0.0894164i | ||||
\(761\) | −11.0953 | + | 14.4597i | −0.402205 | + | 0.524164i | −0.949917 | − | 0.312503i | \(-0.898832\pi\) |
0.547712 | + | 0.836667i | \(0.315499\pi\) | |||||||
\(762\) | 9.75705 | − | 18.5771i | 0.353461 | − | 0.672978i | ||||
\(763\) | 0.147962 | − | 0.435882i | 0.00535658 | − | 0.0157800i | ||||
\(764\) | 9.42761 | + | 6.25124i | 0.341079 | + | 0.226162i | ||||
\(765\) | −0.905872 | − | 1.32404i | −0.0327519 | − | 0.0478707i | ||||
\(766\) | 10.3833 | + | 3.12970i | 0.375162 | + | 0.113080i | ||||
\(767\) | −18.7530 | + | 32.4812i | −0.677133 | + | 1.17283i | ||||
\(768\) | 27.6126 | − | 2.35488i | 0.996383 | − | 0.0849746i | ||||
\(769\) | −1.03177 | − | 1.78708i | −0.0372067 | − | 0.0644439i | 0.846822 | − | 0.531876i | \(-0.178513\pi\) |
−0.884029 | + | 0.467432i | \(0.845179\pi\) | |||||||
\(770\) | −0.105149 | − | 0.447382i | −0.00378930 | − | 0.0161225i | ||||
\(771\) | −21.3705 | − | 18.5350i | −0.769641 | − | 0.667521i | ||||
\(772\) | −27.5833 | + | 13.7240i | −0.992743 | + | 0.493937i | ||||
\(773\) | −44.3475 | + | 8.82127i | −1.59507 | + | 0.317279i | −0.911085 | − | 0.412218i | \(-0.864754\pi\) |
−0.683984 | + | 0.729497i | \(0.739754\pi\) | |||||||
\(774\) | 4.31903 | + | 13.6111i | 0.155244 | + | 0.489240i | ||||
\(775\) | −14.2032 | − | 34.2896i | −0.510195 | − | 1.23172i | ||||
\(776\) | −6.10514 | − | 35.7963i | −0.219162 | − | 1.28501i | ||||
\(777\) | −0.338967 | − | 0.805801i | −0.0121604 | − | 0.0289080i | ||||
\(778\) | −20.8420 | − | 45.7838i | −0.747222 | − | 1.64143i | ||||
\(779\) | −21.3041 | − | 1.39634i | −0.763298 | − | 0.0500292i | ||||
\(780\) | −6.57283 | − | 1.69777i | −0.235345 | − | 0.0607900i | ||||
\(781\) | −38.3572 | + | 43.7380i | −1.37253 | + | 1.56507i | ||||
\(782\) | 0.629803 | + | 6.28068i | 0.0225217 | + | 0.224597i | ||||
\(783\) | 13.0511 | − | 23.4900i | 0.466409 | − | 0.839465i | ||||
\(784\) | 25.8779 | + | 10.5053i | 0.924210 | + | 0.375188i | ||||
\(785\) | 7.45839 | − | 1.99847i | 0.266201 | − | 0.0713284i | ||||
\(786\) | −13.3378 | + | 9.70497i | −0.475744 | + | 0.346165i | ||||
\(787\) | 7.20773 | − | 2.44670i | 0.256928 | − | 0.0872153i | −0.190004 | − | 0.981783i | \(-0.560850\pi\) |
0.446932 | + | 0.894568i | \(0.352517\pi\) | |||||||
\(788\) | 3.81145 | + | 28.1807i | 0.135777 | + | 1.00390i | ||||
\(789\) | −8.99487 | + | 1.84056i | −0.320226 | + | 0.0655258i | ||||
\(790\) | −0.907293 | − | 5.43560i | −0.0322800 | − | 0.193390i | ||||
\(791\) | 0.544489 | + | 0.225535i | 0.0193598 | + | 0.00801909i | ||||
\(792\) | 11.4496 | + | 45.7255i | 0.406842 | + | 1.62479i | ||||
\(793\) | −58.6650 | + | 24.2998i | −2.08325 | + | 0.862912i | ||||
\(794\) | −7.10851 | + | 4.43780i | −0.252272 | + | 0.157492i | ||||
\(795\) | −4.98592 | + | 2.49289i | −0.176832 | + | 0.0884138i | ||||
\(796\) | −12.9140 | + | 4.43468i | −0.457724 | + | 0.157183i | ||||
\(797\) | 5.96551 | − | 12.0969i | 0.211309 | − | 0.428493i | −0.765253 | − | 0.643730i | \(-0.777386\pi\) |
0.976562 | + | 0.215238i | \(0.0690526\pi\) | |||||||
\(798\) | −1.28624 | − | 1.35348i | −0.0455323 | − | 0.0479128i | ||||
\(799\) | −1.75137 | − | 1.01115i | −0.0619589 | − | 0.0357720i | ||||
\(800\) | 13.0310 | + | 23.8695i | 0.460715 | + | 0.843913i | ||||
\(801\) | 4.05455 | − | 7.20415i | 0.143260 | − | 0.254546i | ||||
\(802\) | 13.8976 | + | 25.8904i | 0.490741 | + | 0.914221i | ||||
\(803\) | 42.3575 | − | 2.77626i | 1.49477 | − | 0.0979721i | ||||
\(804\) | −3.98171 | + | 21.0062i | −0.140424 | + | 0.740832i | ||||
\(805\) | −0.161098 | + | 0.141279i | −0.00567796 | + | 0.00497943i | ||||
\(806\) | 48.7265 | − | 1.68136i | 1.71632 | − | 0.0592232i | ||||
\(807\) | −5.26578 | + | 0.722674i | −0.185364 | + | 0.0254393i | ||||
\(808\) | −11.8692 | − | 31.0354i | −0.417555 | − | 1.09182i | ||||
\(809\) | −37.8247 | − | 15.6675i | −1.32984 | − | 0.550840i | −0.399234 | − | 0.916849i | \(-0.630724\pi\) |
−0.930611 | + | 0.366009i | \(0.880724\pi\) | |||||||
\(810\) | −1.84300 | + | 5.27282i | −0.0647564 | + | 0.185268i | ||||
\(811\) | 2.47036 | + | 1.65064i | 0.0867461 | + | 0.0579619i | 0.598187 | − | 0.801357i | \(-0.295888\pi\) |
−0.511441 | + | 0.859319i | \(0.670888\pi\) | |||||||
\(812\) | −0.175127 | + | 1.36756i | −0.00614574 | + | 0.0479918i | ||||
\(813\) | −8.92065 | + | 18.3424i | −0.312861 | + | 0.643295i | ||||
\(814\) | 4.79366 | − | 29.3575i | 0.168018 | − | 1.02898i | ||||
\(815\) | −1.98265 | + | 7.39936i | −0.0694493 | + | 0.259188i | ||||
\(816\) | −7.07788 | − | 4.60179i | −0.247775 | − | 0.161095i | ||||
\(817\) | −4.98157 | − | 18.5915i | −0.174283 | − | 0.650433i | ||||
\(818\) | 19.2468 | − | 1.92999i | 0.672947 | − | 0.0674807i | ||||
\(819\) | −1.35544 | − | 1.16262i | −0.0473629 | − | 0.0406252i | ||||
\(820\) | −2.32526 | − | 2.30888i | −0.0812017 | − | 0.0806297i | ||||
\(821\) | 9.41649 | + | 19.0947i | 0.328638 | + | 0.666411i | 0.996998 | − | 0.0774264i | \(-0.0246703\pi\) |
−0.668360 | + | 0.743838i | \(0.733004\pi\) | |||||||
\(822\) | −19.1009 | + | 3.29611i | −0.666221 | + | 0.114965i | ||||
\(823\) | −23.7600 | + | 3.12806i | −0.828221 | + | 0.109037i | −0.532706 | − | 0.846301i | \(-0.678825\pi\) |
−0.295515 | + | 0.955338i | \(0.595491\pi\) | |||||||
\(824\) | 1.98682 | + | 52.2222i | 0.0692141 | + | 1.81925i | ||||
\(825\) | −36.5424 | + | 28.3599i | −1.27224 | + | 0.987366i | ||||
\(826\) | −1.54260 | − | 0.356810i | −0.0536739 | − | 0.0124150i | ||||
\(827\) | −46.9033 | + | 9.32964i | −1.63099 | + | 0.324423i | −0.923880 | − | 0.382683i | \(-0.875000\pi\) |
−0.707107 | + | 0.707106i | \(0.750000\pi\) | |||||||
\(828\) | 16.3114 | − | 14.7289i | 0.566860 | − | 0.511864i | ||||
\(829\) | 37.5976 | − | 25.1219i | 1.30582 | − | 0.872521i | 0.308911 | − | 0.951091i | \(-0.400035\pi\) |
0.996909 | + | 0.0785699i | \(0.0250354\pi\) | |||||||
\(830\) | −0.785171 | − | 0.835355i | −0.0272537 | − | 0.0289956i | ||||
\(831\) | −18.4599 | + | 18.6636i | −0.640366 | + | 0.647433i | ||||
\(832\) | −35.3671 | + | 5.03827i | −1.22613 | + | 0.174670i | ||||
\(833\) | −4.25408 | − | 7.36828i | −0.147395 | − | 0.255296i | ||||
\(834\) | 20.3761 | − | 33.3038i | 0.705565 | − | 1.15322i | ||||
\(835\) | 0.306463 | + | 4.67572i | 0.0106056 | + | 0.161810i | ||||
\(836\) | −12.6151 | − | 62.2694i | −0.436303 | − | 2.15363i | ||||
\(837\) | 1.96433 | − | 40.0679i | 0.0678971 | − | 1.38495i | ||||
\(838\) | −8.79549 | − | 28.8114i | −0.303835 | − | 0.995274i | ||||
\(839\) | −11.5585 | − | 1.52171i | −0.399044 | − | 0.0525351i | −0.0716662 | − | 0.997429i | \(-0.522832\pi\) |
−0.327378 | + | 0.944894i | \(0.606165\pi\) | |||||||
\(840\) | −0.0124667 | − | 0.286310i | −0.000430142 | − | 0.00987862i | ||||
\(841\) | −2.23579 | + | 0.294348i | −0.0770963 | + | 0.0101499i | ||||
\(842\) | −4.25309 | + | 1.93612i | −0.146571 | + | 0.0667231i | ||||
\(843\) | −7.65571 | − | 37.4136i | −0.263677 | − | 1.28859i | ||||
\(844\) | −6.54359 | − | 24.0802i | −0.225240 | − | 0.828875i | ||||
\(845\) | 2.98747 | + | 0.594245i | 0.102772 | + | 0.0204427i | ||||
\(846\) | 0.779388 | + | 6.99785i | 0.0267959 | + | 0.240591i | ||||
\(847\) | 1.87193 | − | 1.87193i | 0.0643203 | − | 0.0643203i | ||||
\(848\) | −19.1853 | + | 22.1912i | −0.658827 | + | 0.762049i | ||||
\(849\) | 0.637766 | − | 1.11878i | 0.0218881 | − | 0.0383963i | ||||
\(850\) | 1.33506 | − | 8.17624i | 0.0457923 | − | 0.280443i | ||||
\(851\) | −13.1329 | + | 4.45802i | −0.450190 | + | 0.152819i | ||||
\(852\) | −28.5798 | + | 22.3426i | −0.979126 | + | 0.765444i | ||||
\(853\) | 50.0434 | − | 24.6787i | 1.71345 | − | 0.844982i | 0.725882 | − | 0.687819i | \(-0.241432\pi\) |
0.987573 | − | 0.157164i | \(-0.0502350\pi\) | |||||||
\(854\) | −1.70422 | − | 2.06913i | −0.0583172 | − | 0.0708041i | ||||
\(855\) | 2.80457 | − | 6.98677i | 0.0959144 | − | 0.238942i | ||||
\(856\) | 5.02746 | + | 48.4118i | 0.171835 | + | 1.65468i | ||||
\(857\) | 4.57021 | − | 34.7142i | 0.156115 | − | 1.18581i | −0.716565 | − | 0.697521i | \(-0.754287\pi\) |
0.872680 | − | 0.488292i | \(-0.162380\pi\) | |||||||
\(858\) | −18.0602 | − | 58.0179i | −0.616567 | − | 1.98070i | ||||
\(859\) | 20.5288 | − | 18.0033i | 0.700434 | − | 0.614264i | −0.233227 | − | 0.972422i | \(-0.574928\pi\) |
0.933661 | + | 0.358158i | \(0.116595\pi\) | |||||||
\(860\) | 1.29722 | − | 2.65411i | 0.0442347 | − | 0.0905043i | ||||
\(861\) | −0.281552 | − | 0.814707i | −0.00959525 | − | 0.0277651i | ||||
\(862\) | −28.8874 | − | 0.894567i | −0.983907 | − | 0.0304691i | ||||
\(863\) | − | 42.4433i | − | 1.44479i | −0.691482 | − | 0.722394i | \(-0.743042\pi\) | ||
0.691482 | − | 0.722394i | \(-0.256958\pi\) | |||||||
\(864\) | 1.70465 | + | 29.3444i | 0.0579935 | + | 0.998317i | ||||
\(865\) | − | 0.615856i | − | 0.0209397i | ||||||
\(866\) | 1.39082 | − | 44.9125i | 0.0472621 | − | 1.52619i | ||||
\(867\) | −8.77757 | − | 25.3991i | −0.298102 | − | 0.862598i | ||||
\(868\) | 0.668480 | + | 1.94664i | 0.0226897 | + | 0.0660734i | ||||
\(869\) | 37.0858 | − | 32.5234i | 1.25805 | − | 1.10328i | ||||
\(870\) | −5.30796 | + | 1.65230i | −0.179957 | + | 0.0560182i | ||||
\(871\) | 3.59743 | − | 27.3252i | 0.121894 | − | 0.925878i | ||||
\(872\) | 8.58935 | − | 4.64982i | 0.290872 | − | 0.157463i | ||||
\(873\) | 38.1289 | − | 5.44616i | 1.29047 | − | 0.184325i | ||||
\(874\) | −22.8651 | + | 18.8326i | −0.773424 | + | 0.637024i | ||||
\(875\) | 0.514549 | − | 0.253748i | 0.0173949 | − | 0.00857823i | ||||
\(876\) | 26.2737 | + | 3.21810i | 0.887706 | + | 0.108730i | ||||
\(877\) | 0.571811 | − | 0.194104i | 0.0193087 | − | 0.00655442i | −0.311768 | − | 0.950158i | \(-0.600921\pi\) |
0.331077 | + | 0.943604i | \(0.392588\pi\) | |||||||
\(878\) | 30.5498 | + | 4.98834i | 1.03101 | + | 0.168348i | ||||
\(879\) | −2.28139 | + | 4.00204i | −0.0769493 | + | 0.134986i | ||||
\(880\) | 4.81594 | − | 8.47933i | 0.162345 | − | 0.285838i | ||||
\(881\) | 0.143262 | − | 0.143262i | 0.00482662 | − | 0.00482662i | −0.704689 | − | 0.709516i | \(-0.748914\pi\) |
0.709516 | + | 0.704689i | \(0.248914\pi\) | |||||||
\(882\) | −11.8808 | + | 27.1362i | −0.400048 | + | 0.913724i | ||||
\(883\) | 26.6496 | + | 5.30093i | 0.896830 | + | 0.178390i | 0.621921 | − | 0.783080i | \(-0.286352\pi\) |
0.274908 | + | 0.961470i | \(0.411352\pi\) | |||||||
\(884\) | 9.44402 | + | 5.40809i | 0.317637 | + | 0.181894i | ||||
\(885\) | −1.27983 | − | 6.25457i | −0.0430212 | − | 0.210245i | ||||
\(886\) | 6.90071 | + | 15.1589i | 0.231834 | + | 0.509272i | ||||
\(887\) | −25.6226 | + | 3.37328i | −0.860323 | + | 0.113264i | −0.547762 | − | 0.836634i | \(-0.684520\pi\) |
−0.312561 | + | 0.949898i | \(0.601187\pi\) | |||||||
\(888\) | 6.34626 | − | 17.4298i | 0.212967 | − | 0.584906i | ||||
\(889\) | −1.13214 | − | 0.149049i | −0.0379706 | − | 0.00499893i | ||||
\(890\) | −1.63567 | + | 0.499332i | −0.0548276 | + | 0.0167377i | ||||
\(891\) | −48.8100 | + | 10.8279i | −1.63520 | + | 0.362747i | ||||
\(892\) | −2.91342 | + | 4.39379i | −0.0975486 | + | 0.147115i | ||||
\(893\) | −0.620704 | − | 9.47012i | −0.0207711 | − | 0.316905i | ||||
\(894\) | 6.45429 | + | 3.94889i | 0.215864 | + | 0.132071i | ||||
\(895\) | −3.31444 | − | 5.74078i | −0.110790 | − | 0.191893i | ||||
\(896\) | −0.639353 | − | 1.36587i | −0.0213593 | − | 0.0456306i | ||||
\(897\) | −19.9225 | + | 20.1424i | −0.665194 | + | 0.672535i | ||||
\(898\) | −16.5019 | + | 15.5105i | −0.550675 | + | 0.517594i | ||||
\(899\) | 33.1973 | − | 22.1817i | 1.10719 | − | 0.739802i | ||||
\(900\) | −25.6820 | + | 13.1316i | −0.856066 | + | 0.437721i | ||||
\(901\) | 8.76471 | − | 1.74341i | 0.291995 | − | 0.0580814i | ||||
\(902\) | 6.60985 | − | 28.5764i | 0.220084 | − | 0.951490i | ||||
\(903\) | 0.613909 | − | 0.476444i | 0.0204296 | − | 0.0158551i | ||||
\(904\) | 5.22132 | + | 11.3630i | 0.173659 | + | 0.377929i | ||||
\(905\) | 11.2037 | − | 1.47499i | 0.372422 | − | 0.0490303i | ||||
\(906\) | −1.20370 | − | 6.97543i | −0.0399903 | − | 0.231743i | ||||
\(907\) | −13.8800 | − | 28.1460i | −0.460879 | − | 0.934571i | −0.995962 | − | 0.0897715i | \(-0.971386\pi\) |
0.535083 | − | 0.844800i | \(-0.320280\pi\) | |||||||
\(908\) | 0.176807 | + | 50.0184i | 0.00586754 | + | 1.65992i | ||||
\(909\) | 33.2465 | − | 11.6942i | 1.10272 | − | 0.387871i | ||||
\(910\) | 0.0368599 | + | 0.367584i | 0.00122189 | + | 0.0121853i | ||||
\(911\) | −8.23219 | − | 30.7230i | −0.272745 | − | 1.01790i | −0.957338 | − | 0.288972i | \(-0.906687\pi\) |
0.684593 | − | 0.728926i | \(-0.259980\pi\) | |||||||
\(912\) | −0.497507 | − | 39.6157i | −0.0164741 | − | 1.31181i | ||||
\(913\) | 2.65591 | − | 9.91199i | 0.0878977 | − | 0.328039i | ||||
\(914\) | 1.04185 | + | 0.170119i | 0.0344612 | + | 0.00562702i | ||||
\(915\) | 4.72722 | − | 9.71997i | 0.156277 | − | 0.321332i | ||||
\(916\) | 13.5567 | + | 17.5387i | 0.447927 | + | 0.579496i | ||||
\(917\) | 0.746361 | + | 0.498702i | 0.0246470 | + | 0.0164686i | ||||
\(918\) | 5.08220 | − | 7.37246i | 0.167738 | − | 0.243327i | ||||
\(919\) | 46.3909 | + | 19.2157i | 1.53029 | + | 0.633869i | 0.979622 | − | 0.200852i | \(-0.0643711\pi\) |
0.550673 | + | 0.834721i | \(0.314371\pi\) | |||||||
\(920\) | −4.54485 | − | 0.124663i | −0.149839 | − | 0.00411003i | ||||
\(921\) | −53.9189 | + | 7.39981i | −1.77669 | + | 0.243832i | ||||
\(922\) | −0.397486 | − | 11.5193i | −0.0130905 | − | 0.379369i | ||||
\(923\) | 35.1588 | − | 30.8334i | 1.15727 | − | 1.01489i | ||||
\(924\) | 2.11991 | − | 1.44431i | 0.0697399 | − | 0.0475145i | ||||
\(925\) | 18.1635 | − | 1.19050i | 0.597214 | − | 0.0391434i | ||||
\(926\) | 16.1183 | − | 8.65206i | 0.529680 | − | 0.284324i | ||||
\(927\) | −55.4268 | + | 0.608393i | −1.82045 | + | 0.0199822i | ||||
\(928\) | −22.4493 | + | 18.7581i | −0.736934 | + | 0.615765i | ||||
\(929\) | 19.6395 | + | 11.3388i | 0.644350 | + | 0.372016i | 0.786288 | − | 0.617860i | \(-0.212000\pi\) |
−0.141938 | + | 0.989876i | \(0.545333\pi\) | |||||||
\(930\) | −6.01583 | + | 5.71694i | −0.197267 | + | 0.187466i | ||||
\(931\) | 17.6596 | − | 35.8101i | 0.578770 | − | 1.17363i | ||||
\(932\) | 22.3255 | − | 45.6779i | 0.731296 | − | 1.49623i | ||||
\(933\) | −28.4640 | + | 14.2316i | −0.931868 | + | 0.465922i | ||||
\(934\) | 14.0982 | + | 22.5826i | 0.461306 | + | 0.738925i | ||||
\(935\) | −2.74454 | + | 1.13682i | −0.0897560 | + | 0.0371781i | ||||
\(936\) | −4.32730 | − | 37.6433i | −0.141442 | − | 1.23041i | ||||
\(937\) | 15.9418 | + | 6.60333i | 0.520797 | + | 0.215721i | 0.627567 | − | 0.778562i | \(-0.284051\pi\) |
−0.106770 | + | 0.994284i | \(0.534051\pi\) | |||||||
\(938\) | 1.14762 | − | 0.191556i | 0.0374710 | − | 0.00625454i | ||||
\(939\) | 34.6636 | − | 7.09300i | 1.13120 | − | 0.231471i | ||||
\(940\) | 0.882651 | − | 1.15875i | 0.0287889 | − | 0.0377943i | ||||
\(941\) | −23.2978 | + | 7.90853i | −0.759486 | + | 0.257811i | −0.674203 | − | 0.738546i | \(-0.735513\pi\) |
−0.0852827 | + | 0.996357i | \(0.527179\pi\) | |||||||
\(942\) | 25.3574 | + | 34.8494i | 0.826189 | + | 1.13545i | ||||
\(943\) | −13.2093 | + | 3.53942i | −0.430154 | + | 0.115259i | ||||
\(944\) | −18.8620 | − | 27.8015i | −0.613907 | − | 0.904862i | ||||
\(945\) | 0.303924 | − | 0.00500429i | 0.00988664 | − | 0.000162790i | ||||
\(946\) | 26.3105 | − | 2.63832i | 0.855428 | − | 0.0857791i | ||||
\(947\) | 18.9922 | − | 21.6565i | 0.617164 | − | 0.703740i | −0.355836 | − | 0.934549i | \(-0.615804\pi\) |
0.972999 | + | 0.230808i | \(0.0741370\pi\) | |||||||
\(948\) | 26.4984 | − | 15.6193i | 0.860629 | − | 0.507293i | ||||
\(949\) | −34.0491 | − | 2.23169i | −1.10528 | − | 0.0724439i | ||||
\(950\) | 35.3844 | − | 16.1079i | 1.14802 | − | 0.522610i | ||||
\(951\) | 9.51359 | + | 22.6160i | 0.308499 | + | 0.733373i | ||||
\(952\) | −0.101950 | + | 0.447969i | −0.00330423 | + | 0.0145187i | ||||
\(953\) | 11.6953 | + | 28.2349i | 0.378847 | + | 0.914617i | 0.992183 | + | 0.124795i | \(0.0398272\pi\) |
−0.613336 | + | 0.789822i | \(0.710173\pi\) | |||||||
\(954\) | −22.9783 | − | 20.9783i | −0.743951 | − | 0.679198i | ||||
\(955\) | 2.43440 | − | 0.484233i | 0.0787754 | − | 0.0156694i | ||||
\(956\) | −29.7938 | − | 9.99633i | −0.963601 | − | 0.323305i | ||||
\(957\) | −37.5909 | − | 32.6031i | −1.21514 | − | 1.05391i | ||||
\(958\) | −50.7733 | + | 11.9333i | −1.64041 | + | 0.385548i | ||||
\(959\) | 0.527409 | + | 0.913499i | 0.0170309 | + | 0.0294984i | ||||
\(960\) | 3.93531 | − | 4.63576i | 0.127011 | − | 0.149619i | ||||
\(961\) | 14.3018 | − | 24.7714i | 0.461347 | − | 0.799077i | ||||
\(962\) | −6.90070 | + | 22.8941i | −0.222487 | + | 0.738137i | ||||
\(963\) | −51.4739 | + | 3.94162i | −1.65872 | + | 0.127017i | ||||
\(964\) | −34.2730 | + | 6.94336i | −1.10386 | + | 0.223631i | ||||
\(965\) | −2.17300 | + | 6.40144i | −0.0699512 | + | 0.206070i | ||||
\(966\) | −1.05883 | − | 0.556115i | −0.0340672 | − | 0.0178927i | ||||
\(967\) | −34.8422 | + | 45.4073i | −1.12045 | + | 1.46020i | −0.249800 | + | 0.968298i | \(0.580365\pi\) |
−0.870651 | + | 0.491902i | \(0.836302\pi\) | |||||||
\(968\) | 56.1318 | − | 2.13556i | 1.80415 | − | 0.0686396i | ||||
\(969\) | −7.29468 | + | 9.61542i | −0.234339 | + | 0.308892i | ||||
\(970\) | −6.48495 | − | 4.62973i | −0.208219 | − | 0.148652i | ||||
\(971\) | 5.70608 | − | 8.53976i | 0.183117 | − | 0.274054i | −0.728542 | − | 0.685001i | \(-0.759802\pi\) |
0.911659 | + | 0.410947i | \(0.134802\pi\) | |||||||
\(972\) | −31.1620 | + | 0.965551i | −0.999520 | + | 0.0309701i | ||||
\(973\) | −2.08384 | − | 0.414501i | −0.0668048 | − | 0.0132883i | ||||
\(974\) | 15.4474 | − | 34.2539i | 0.494965 | − | 1.09757i | ||||
\(975\) | 32.0989 | − | 18.7679i | 1.02799 | − | 0.601055i | ||||
\(976\) | 3.31872 | − | 56.7820i | 0.106230 | − | 1.81755i | ||||
\(977\) | 4.90161 | − | 18.2931i | 0.156816 | − | 0.585247i | −0.842127 | − | 0.539280i | \(-0.818696\pi\) |
0.998943 | − | 0.0459669i | \(-0.0146369\pi\) | |||||||
\(978\) | −42.5200 | + | 4.49957i | −1.35964 | + | 0.143880i | ||||
\(979\) | −11.5090 | − | 10.0931i | −0.367828 | − | 0.322577i | ||||
\(980\) | 5.65347 | − | 2.36519i | 0.180594 | − | 0.0755533i | ||||
\(981\) | 4.68366 | + | 9.24044i | 0.149538 | + | 0.295025i | ||||
\(982\) | −5.77972 | − | 7.01728i | −0.184438 | − | 0.223931i | ||||
\(983\) | −25.0487 | + | 19.2206i | −0.798930 | + | 0.613041i | −0.925427 | − | 0.378926i | \(-0.876293\pi\) |
0.126497 | + | 0.991967i | \(0.459627\pi\) | |||||||
\(984\) | 7.36829 | − | 16.7403i | 0.234892 | − | 0.533663i | ||||
\(985\) | 4.95040 | + | 3.79857i | 0.157733 | + | 0.121033i | ||||
\(986\) | 8.90673 | − | 0.307336i | 0.283648 | − | 0.00978757i | ||||
\(987\) | 0.342720 | − | 0.171356i | 0.0109089 | − | 0.00545431i | ||||
\(988\) | 3.52039 | + | 50.9506i | 0.111999 | + | 1.62095i | ||||
\(989\) | −6.84937 | − | 10.2508i | −0.217797 | − | 0.325957i | ||||
\(990\) | 8.85223 | + | 5.34946i | 0.281342 | + | 0.170017i | ||||
\(991\) | 46.5036i | 1.47724i | 0.674124 | + | 0.738618i | \(0.264521\pi\) | ||||
−0.674124 | + | 0.738618i | \(0.735479\pi\) | |||||||
\(992\) | −17.6718 | + | 39.9377i | −0.561081 | + | 1.26802i | ||||
\(993\) | 5.23165 | + | 5.17454i | 0.166022 | + | 0.164209i | ||||
\(994\) | 1.67828 | + | 1.03952i | 0.0532319 | + | 0.0329714i | ||||
\(995\) | −1.32513 | + | 2.68709i | −0.0420094 | + | 0.0851865i | ||||
\(996\) | 2.77829 | − | 5.76436i | 0.0880336 | − | 0.182651i | ||||
\(997\) | 6.26029 | + | 2.12508i | 0.198265 | + | 0.0673020i | 0.418806 | − | 0.908076i | \(-0.362449\pi\) |
−0.220540 | + | 0.975378i | \(0.570782\pi\) | |||||||
\(998\) | 30.6142 | + | 16.2941i | 0.969075 | + | 0.515781i | ||||
\(999\) | 18.2983 | + | 7.22880i | 0.578932 | + | 0.228709i |
(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 | 576.2.bm.a.205.71 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.55 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.55 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.71 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.55 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.55 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.71 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.71 | yes | 1504 | 576.517 | even | 48 | inner |