Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 127.4 | ||
Character | \(\chi\) | \(=\) | 322.127 |
Dual form | 322.2.i.d.71.4 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | − | 0.540641i | 0.594856 | − | 0.382291i | ||||
\(3\) | 0.341180 | − | 2.37296i | 0.196980 | − | 1.37003i | −0.616005 | − | 0.787742i | \(-0.711250\pi\) |
0.812985 | − | 0.582285i | \(-0.197841\pi\) | |||||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | 1.96603 | − | 0.577277i | 0.879234 | − | 0.258166i | 0.189196 | − | 0.981939i | \(-0.439412\pi\) |
0.690038 | + | 0.723773i | \(0.257594\pi\) | |||||||
\(6\) | −0.995899 | − | 2.18071i | −0.406574 | − | 0.890273i | ||||
\(7\) | 0.654861 | + | 0.755750i | 0.247514 | + | 0.285646i | ||||
\(8\) | −0.142315 | − | 0.989821i | −0.0503159 | − | 0.349955i | ||||
\(9\) | −2.63604 | − | 0.774012i | −0.878681 | − | 0.258004i | ||||
\(10\) | 1.34183 | − | 1.54855i | 0.424323 | − | 0.489695i | ||||
\(11\) | 0.712290 | + | 0.457761i | 0.214764 | + | 0.138020i | 0.643600 | − | 0.765362i | \(-0.277440\pi\) |
−0.428837 | + | 0.903382i | \(0.641076\pi\) | |||||||
\(12\) | −2.01679 | − | 1.29611i | −0.582196 | − | 0.374155i | ||||
\(13\) | −3.16858 | + | 3.65674i | −0.878806 | + | 1.01420i | 0.120962 | + | 0.992657i | \(0.461402\pi\) |
−0.999768 | + | 0.0215391i | \(0.993143\pi\) | |||||||
\(14\) | 0.959493 | + | 0.281733i | 0.256435 | + | 0.0752962i | ||||
\(15\) | −0.699086 | − | 4.86225i | −0.180503 | − | 1.25543i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 1.83679 | + | 4.02201i | 0.445487 | + | 0.975481i | 0.990558 | + | 0.137091i | \(0.0437754\pi\) |
−0.545071 | + | 0.838390i | \(0.683497\pi\) | |||||||
\(18\) | −2.63604 | + | 0.774012i | −0.621321 | + | 0.182436i | ||||
\(19\) | −1.18888 | + | 2.60328i | −0.272747 | + | 0.597234i | −0.995593 | − | 0.0937756i | \(-0.970106\pi\) |
0.722846 | + | 0.691009i | \(0.242834\pi\) | |||||||
\(20\) | 0.291607 | − | 2.02817i | 0.0652053 | − | 0.453513i | ||||
\(21\) | 2.01679 | − | 1.29611i | 0.440099 | − | 0.282834i | ||||
\(22\) | 0.846701 | 0.180517 | ||||||||
\(23\) | −4.09369 | − | 2.49834i | −0.853593 | − | 0.520940i | ||||
\(24\) | −2.39736 | −0.489359 | ||||||||
\(25\) | −0.674258 | + | 0.433319i | −0.134852 | + | 0.0866639i | ||||
\(26\) | −0.688598 | + | 4.78931i | −0.135045 | + | 0.939260i | ||||
\(27\) | 0.251636 | − | 0.551006i | 0.0484274 | − | 0.106041i | ||||
\(28\) | 0.959493 | − | 0.281733i | 0.181327 | − | 0.0532424i | ||||
\(29\) | −1.55805 | − | 3.41164i | −0.289322 | − | 0.633526i | 0.708036 | − | 0.706177i | \(-0.249582\pi\) |
−0.997357 | + | 0.0726504i | \(0.976854\pi\) | |||||||
\(30\) | −3.21684 | − | 3.71243i | −0.587312 | − | 0.677794i | ||||
\(31\) | 0.210342 | + | 1.46296i | 0.0377786 | + | 0.262756i | 0.999953 | − | 0.00967773i | \(-0.00308057\pi\) |
−0.962175 | + | 0.272434i | \(0.912171\pi\) | |||||||
\(32\) | −0.959493 | − | 0.281733i | −0.169616 | − | 0.0498038i | ||||
\(33\) | 1.32927 | − | 1.53406i | 0.231396 | − | 0.267045i | ||||
\(34\) | 3.71967 | + | 2.39049i | 0.637918 | + | 0.409965i | ||||
\(35\) | 1.72375 | + | 1.10779i | 0.291367 | + | 0.187250i | ||||
\(36\) | −1.79912 | + | 2.07629i | −0.299853 | + | 0.346049i | ||||
\(37\) | −0.504064 | − | 0.148007i | −0.0828676 | − | 0.0243321i | 0.240036 | − | 0.970764i | \(-0.422841\pi\) |
−0.322904 | + | 0.946432i | \(0.604659\pi\) | |||||||
\(38\) | 0.407292 | + | 2.83278i | 0.0660714 | + | 0.459537i | ||||
\(39\) | 7.59622 | + | 8.76651i | 1.21637 | + | 1.40376i | ||||
\(40\) | −0.851196 | − | 1.86386i | −0.134586 | − | 0.294702i | ||||
\(41\) | −4.19540 | + | 1.23188i | −0.655211 | + | 0.192387i | −0.592407 | − | 0.805639i | \(-0.701822\pi\) |
−0.0628038 | + | 0.998026i | \(0.520004\pi\) | |||||||
\(42\) | 0.995899 | − | 2.18071i | 0.153671 | − | 0.336491i | ||||
\(43\) | 1.11619 | − | 7.76324i | 0.170217 | − | 1.18388i | −0.708208 | − | 0.706003i | \(-0.750496\pi\) |
0.878425 | − | 0.477880i | \(-0.158595\pi\) | |||||||
\(44\) | 0.712290 | − | 0.457761i | 0.107382 | − | 0.0690101i | ||||
\(45\) | −5.62935 | −0.839173 | ||||||||
\(46\) | −4.79454 | + | 0.111477i | −0.706916 | + | 0.0164364i | ||||
\(47\) | 6.67750 | 0.974013 | 0.487007 | − | 0.873398i | \(-0.338089\pi\) | ||||
0.487007 | + | 0.873398i | \(0.338089\pi\) | |||||||
\(48\) | −2.01679 | + | 1.29611i | −0.291098 | + | 0.187077i | ||||
\(49\) | −0.142315 | + | 0.989821i | −0.0203307 | + | 0.141403i | ||||
\(50\) | −0.332952 | + | 0.729063i | −0.0470865 | + | 0.103105i | ||||
\(51\) | 10.1707 | − | 2.98640i | 1.42419 | − | 0.418179i | ||||
\(52\) | 2.01001 | + | 4.40131i | 0.278738 | + | 0.610351i | ||||
\(53\) | 7.74248 | + | 8.93530i | 1.06351 | + | 1.22736i | 0.972840 | + | 0.231477i | \(0.0743558\pi\) |
0.0906712 | + | 0.995881i | \(0.471099\pi\) | |||||||
\(54\) | −0.0862066 | − | 0.599580i | −0.0117312 | − | 0.0815925i | ||||
\(55\) | 1.66464 | + | 0.488781i | 0.224460 | + | 0.0659073i | ||||
\(56\) | 0.654861 | − | 0.755750i | 0.0875094 | − | 0.100991i | ||||
\(57\) | 5.77185 | + | 3.70934i | 0.764501 | + | 0.491315i | ||||
\(58\) | −3.15518 | − | 2.02771i | −0.414296 | − | 0.266252i | ||||
\(59\) | −5.02182 | + | 5.79548i | −0.653785 | + | 0.754508i | −0.981749 | − | 0.190182i | \(-0.939092\pi\) |
0.327964 | + | 0.944690i | \(0.393637\pi\) | |||||||
\(60\) | −4.71327 | − | 1.38394i | −0.608480 | − | 0.178666i | ||||
\(61\) | −0.355188 | − | 2.47039i | −0.0454772 | − | 0.316301i | −0.999844 | − | 0.0176640i | \(-0.994377\pi\) |
0.954367 | − | 0.298637i | \(-0.0965320\pi\) | |||||||
\(62\) | 0.967889 | + | 1.11700i | 0.122922 | + | 0.141860i | ||||
\(63\) | −1.14128 | − | 2.49906i | −0.143788 | − | 0.314852i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | −4.11856 | + | 9.01839i | −0.510845 | + | 1.11859i | ||||
\(66\) | 0.288877 | − | 2.00919i | 0.0355583 | − | 0.247314i | ||||
\(67\) | 9.35908 | − | 6.01471i | 1.14339 | − | 0.734814i | 0.175080 | − | 0.984554i | \(-0.443981\pi\) |
0.968313 | + | 0.249740i | \(0.0803451\pi\) | |||||||
\(68\) | 4.42158 | 0.536196 | ||||||||
\(69\) | −7.32514 | + | 8.86176i | −0.881843 | + | 1.06683i | ||||
\(70\) | 2.04903 | 0.244905 | ||||||||
\(71\) | 8.70851 | − | 5.59662i | 1.03351 | − | 0.664196i | 0.0901364 | − | 0.995929i | \(-0.471270\pi\) |
0.943373 | + | 0.331733i | \(0.107633\pi\) | |||||||
\(72\) | −0.390986 | + | 2.71936i | −0.0460781 | + | 0.320480i | ||||
\(73\) | −4.45054 | + | 9.74532i | −0.520896 | + | 1.14060i | 0.448203 | + | 0.893932i | \(0.352064\pi\) |
−0.969099 | + | 0.246672i | \(0.920663\pi\) | |||||||
\(74\) | −0.504064 | + | 0.148007i | −0.0585963 | + | 0.0172054i | ||||
\(75\) | 0.798205 | + | 1.74783i | 0.0921688 | + | 0.201822i | ||||
\(76\) | 1.87415 | + | 2.16288i | 0.214980 | + | 0.248100i | ||||
\(77\) | 0.120498 | + | 0.838083i | 0.0137320 | + | 0.0955084i | ||||
\(78\) | 11.1299 | + | 3.26803i | 1.26021 | + | 0.370031i | ||||
\(79\) | 4.16610 | − | 4.80794i | 0.468723 | − | 0.540935i | −0.471333 | − | 0.881955i | \(-0.656227\pi\) |
0.940056 | + | 0.341020i | \(0.110772\pi\) | |||||||
\(80\) | −1.72375 | − | 1.10779i | −0.192721 | − | 0.123854i | ||||
\(81\) | −8.15526 | − | 5.24107i | −0.906140 | − | 0.582341i | ||||
\(82\) | −2.86339 | + | 3.30453i | −0.316208 | + | 0.364924i | ||||
\(83\) | −9.69302 | − | 2.84613i | −1.06395 | − | 0.312403i | −0.297507 | − | 0.954720i | \(-0.596155\pi\) |
−0.766440 | + | 0.642316i | \(0.777973\pi\) | |||||||
\(84\) | −0.341180 | − | 2.37296i | −0.0372258 | − | 0.258911i | ||||
\(85\) | 5.93300 | + | 6.84704i | 0.643524 | + | 0.742666i | ||||
\(86\) | −3.25813 | − | 7.13431i | −0.351333 | − | 0.769313i | ||||
\(87\) | −8.62726 | + | 2.53319i | −0.924939 | + | 0.271587i | ||||
\(88\) | 0.351732 | − | 0.770186i | 0.0374948 | − | 0.0821021i | ||||
\(89\) | 1.59642 | − | 11.1034i | 0.169221 | − | 1.17696i | −0.711280 | − | 0.702909i | \(-0.751884\pi\) |
0.880500 | − | 0.474046i | \(-0.157207\pi\) | |||||||
\(90\) | −4.73571 | + | 3.04345i | −0.499187 | + | 0.320808i | ||||
\(91\) | −4.83856 | −0.507218 | ||||||||
\(92\) | −3.97315 | + | 2.68590i | −0.414230 | + | 0.280025i | ||||
\(93\) | 3.54331 | 0.367424 | ||||||||
\(94\) | 5.61747 | − | 3.61013i | 0.579398 | − | 0.372356i | ||||
\(95\) | −0.834551 | + | 5.80443i | −0.0856231 | + | 0.595522i | ||||
\(96\) | −0.995899 | + | 2.18071i | −0.101643 | + | 0.222568i | ||||
\(97\) | −9.05049 | + | 2.65746i | −0.918938 | + | 0.269825i | −0.706799 | − | 0.707415i | \(-0.749861\pi\) |
−0.212140 | + | 0.977239i | \(0.568043\pi\) | |||||||
\(98\) | 0.415415 | + | 0.909632i | 0.0419633 | + | 0.0918867i | ||||
\(99\) | −1.52331 | − | 1.75800i | −0.153099 | − | 0.176685i | ||||
\(100\) | 0.114064 | + | 0.793334i | 0.0114064 | + | 0.0793334i | ||||
\(101\) | 14.8588 | + | 4.36294i | 1.47851 | + | 0.434128i | 0.918853 | − | 0.394599i | \(-0.129117\pi\) |
0.559652 | + | 0.828728i | \(0.310935\pi\) | |||||||
\(102\) | 6.94160 | − | 8.01103i | 0.687321 | − | 0.793211i | ||||
\(103\) | −10.5895 | − | 6.80546i | −1.04341 | − | 0.670561i | −0.0975851 | − | 0.995227i | \(-0.531112\pi\) |
−0.945829 | + | 0.324666i | \(0.894748\pi\) | |||||||
\(104\) | 4.07045 | + | 2.61592i | 0.399141 | + | 0.256512i | ||||
\(105\) | 3.21684 | − | 3.71243i | 0.313931 | − | 0.362296i | ||||
\(106\) | 11.3442 | + | 3.33095i | 1.10184 | + | 0.323531i | ||||
\(107\) | −0.401733 | − | 2.79411i | −0.0388370 | − | 0.270117i | 0.961145 | − | 0.276042i | \(-0.0890230\pi\) |
−0.999982 | + | 0.00592521i | \(0.998114\pi\) | |||||||
\(108\) | −0.396679 | − | 0.457792i | −0.0381705 | − | 0.0440511i | ||||
\(109\) | −3.62364 | − | 7.93466i | −0.347081 | − | 0.760002i | −0.999997 | − | 0.00257125i | \(-0.999182\pi\) |
0.652915 | − | 0.757431i | \(-0.273546\pi\) | |||||||
\(110\) | 1.66464 | − | 0.488781i | 0.158717 | − | 0.0466035i | ||||
\(111\) | −0.523190 | + | 1.14563i | −0.0496590 | + | 0.108738i | ||||
\(112\) | 0.142315 | − | 0.989821i | 0.0134475 | − | 0.0935293i | ||||
\(113\) | −12.3724 | + | 7.95124i | −1.16389 | + | 0.747990i | −0.972358 | − | 0.233496i | \(-0.924983\pi\) |
−0.191537 | + | 0.981485i | \(0.561347\pi\) | |||||||
\(114\) | 6.86101 | 0.642593 | ||||||||
\(115\) | −9.49054 | − | 2.54861i | −0.884997 | − | 0.237659i | ||||
\(116\) | −3.75058 | −0.348232 | ||||||||
\(117\) | 11.1829 | − | 7.18679i | 1.03386 | − | 0.664419i | ||||
\(118\) | −1.09134 | + | 7.59047i | −0.100466 | + | 0.698759i | ||||
\(119\) | −1.83679 | + | 4.02201i | −0.168378 | + | 0.368697i | ||||
\(120\) | −4.71327 | + | 1.38394i | −0.430261 | + | 0.126336i | ||||
\(121\) | −4.27175 | − | 9.35383i | −0.388341 | − | 0.850349i | ||||
\(122\) | −1.63440 | − | 1.88619i | −0.147971 | − | 0.170768i | ||||
\(123\) | 1.49181 | + | 10.3758i | 0.134512 | + | 0.935554i | ||||
\(124\) | 1.41814 | + | 0.416403i | 0.127352 | + | 0.0373941i | ||||
\(125\) | −7.78460 | + | 8.98390i | −0.696276 | + | 0.803545i | ||||
\(126\) | −2.31120 | − | 1.48532i | −0.205898 | − | 0.132323i | ||||
\(127\) | 0.216235 | + | 0.138966i | 0.0191877 | + | 0.0123312i | 0.550200 | − | 0.835033i | \(-0.314552\pi\) |
−0.531012 | + | 0.847364i | \(0.678188\pi\) | |||||||
\(128\) | −0.654861 | + | 0.755750i | −0.0578821 | + | 0.0667995i | ||||
\(129\) | −18.0410 | − | 5.29732i | −1.58842 | − | 0.466403i | ||||
\(130\) | 1.41096 | + | 9.81341i | 0.123749 | + | 0.860693i | ||||
\(131\) | 1.01110 | + | 1.16687i | 0.0883401 | + | 0.101950i | 0.798199 | − | 0.602394i | \(-0.205787\pi\) |
−0.709858 | + | 0.704344i | \(0.751241\pi\) | |||||||
\(132\) | −0.843229 | − | 1.84641i | −0.0733936 | − | 0.160710i | ||||
\(133\) | −2.74598 | + | 0.806292i | −0.238107 | + | 0.0699144i | ||||
\(134\) | 4.62156 | − | 10.1198i | 0.399242 | − | 0.874217i | ||||
\(135\) | 0.176640 | − | 1.22856i | 0.0152027 | − | 0.105737i | ||||
\(136\) | 3.71967 | − | 2.39049i | 0.318959 | − | 0.204983i | ||||
\(137\) | −12.3571 | −1.05574 | −0.527868 | − | 0.849326i | \(-0.677008\pi\) | ||||
−0.527868 | + | 0.849326i | \(0.677008\pi\) | |||||||
\(138\) | −1.37127 | + | 11.4153i | −0.116730 | + | 0.971731i | ||||
\(139\) | 11.9697 | 1.01526 | 0.507628 | − | 0.861576i | \(-0.330522\pi\) | ||||
0.507628 | + | 0.861576i | \(0.330522\pi\) | |||||||
\(140\) | 1.72375 | − | 1.10779i | 0.145683 | − | 0.0936251i | ||||
\(141\) | 2.27823 | − | 15.8454i | 0.191861 | − | 1.33442i | ||||
\(142\) | 4.30030 | − | 9.41635i | 0.360873 | − | 0.790202i | ||||
\(143\) | −3.93086 | + | 1.15420i | −0.328715 | + | 0.0965195i | ||||
\(144\) | 1.14128 | + | 2.49906i | 0.0951068 | + | 0.208255i | ||||
\(145\) | −5.03262 | − | 5.80796i | −0.417936 | − | 0.482324i | ||||
\(146\) | 1.52469 | + | 10.6044i | 0.126184 | + | 0.877629i | ||||
\(147\) | 2.30025 | + | 0.675414i | 0.189721 | + | 0.0557072i | ||||
\(148\) | −0.344027 | + | 0.397029i | −0.0282789 | + | 0.0326356i | ||||
\(149\) | 16.5780 | + | 10.6540i | 1.35812 | + | 0.872810i | 0.998188 | − | 0.0601690i | \(-0.0191640\pi\) |
0.359931 | + | 0.932979i | \(0.382800\pi\) | |||||||
\(150\) | 1.61644 | + | 1.03882i | 0.131982 | + | 0.0848195i | ||||
\(151\) | −2.79794 | + | 3.22899i | −0.227693 | + | 0.262772i | −0.858088 | − | 0.513503i | \(-0.828348\pi\) |
0.630395 | + | 0.776275i | \(0.282893\pi\) | |||||||
\(152\) | 2.74598 | + | 0.806292i | 0.222728 | + | 0.0653989i | ||||
\(153\) | −1.72877 | − | 12.0239i | −0.139763 | − | 0.972074i | ||||
\(154\) | 0.554471 | + | 0.639894i | 0.0446806 | + | 0.0515641i | ||||
\(155\) | 1.25807 | + | 2.75480i | 0.101051 | + | 0.221271i | ||||
\(156\) | 11.1299 | − | 3.26803i | 0.891104 | − | 0.261652i | ||||
\(157\) | 8.06469 | − | 17.6592i | 0.643633 | − | 1.40936i | −0.253386 | − | 0.967365i | \(-0.581544\pi\) |
0.897018 | − | 0.441993i | \(-0.145729\pi\) | |||||||
\(158\) | 0.905380 | − | 6.29706i | 0.0720282 | − | 0.500967i | ||||
\(159\) | 23.8447 | − | 15.3240i | 1.89100 | − | 1.21527i | ||||
\(160\) | −2.04903 | −0.161990 | ||||||||
\(161\) | −0.792676 | − | 4.72987i | −0.0624716 | − | 0.372766i | ||||
\(162\) | −9.69417 | −0.761646 | ||||||||
\(163\) | 2.79199 | − | 1.79430i | 0.218685 | − | 0.140540i | −0.426712 | − | 0.904388i | \(-0.640328\pi\) |
0.645397 | + | 0.763847i | \(0.276692\pi\) | |||||||
\(164\) | −0.622274 | + | 4.32801i | −0.0485914 | + | 0.337961i | ||||
\(165\) | 1.72780 | − | 3.78335i | 0.134509 | − | 0.294533i | ||||
\(166\) | −9.69302 | + | 2.84613i | −0.752324 | + | 0.220902i | ||||
\(167\) | 5.51951 | + | 12.0860i | 0.427112 | + | 0.935245i | 0.993786 | + | 0.111303i | \(0.0355026\pi\) |
−0.566674 | + | 0.823942i | \(0.691770\pi\) | |||||||
\(168\) | −1.56994 | − | 1.81180i | −0.121123 | − | 0.139784i | ||||
\(169\) | −1.48173 | − | 10.3056i | −0.113979 | − | 0.792742i | ||||
\(170\) | 8.69295 | + | 2.55248i | 0.666719 | + | 0.195766i | ||||
\(171\) | 5.14890 | − | 5.94215i | 0.393746 | − | 0.454408i | ||||
\(172\) | −6.59801 | − | 4.24029i | −0.503094 | − | 0.323319i | ||||
\(173\) | 3.12074 | + | 2.00558i | 0.237265 | + | 0.152481i | 0.653871 | − | 0.756606i | \(-0.273144\pi\) |
−0.416606 | + | 0.909087i | \(0.636780\pi\) | |||||||
\(174\) | −5.88816 | + | 6.79530i | −0.446380 | + | 0.515151i | ||||
\(175\) | −0.769026 | − | 0.225806i | −0.0581329 | − | 0.0170694i | ||||
\(176\) | −0.120498 | − | 0.838083i | −0.00908289 | − | 0.0631729i | ||||
\(177\) | 12.0391 | + | 13.8939i | 0.904914 | + | 1.04433i | ||||
\(178\) | −4.65994 | − | 10.2038i | −0.349277 | − | 0.764810i | ||||
\(179\) | −16.5766 | + | 4.86734i | −1.23900 | + | 0.363802i | −0.834638 | − | 0.550799i | \(-0.814323\pi\) |
−0.404358 | + | 0.914601i | \(0.632505\pi\) | |||||||
\(180\) | −2.33851 | + | 5.12063i | −0.174303 | + | 0.381669i | ||||
\(181\) | 0.608488 | − | 4.23213i | 0.0452286 | − | 0.314572i | −0.954631 | − | 0.297792i | \(-0.903750\pi\) |
0.999859 | − | 0.0167792i | \(-0.00534122\pi\) | |||||||
\(182\) | −4.07045 | + | 2.61592i | −0.301722 | + | 0.193905i | ||||
\(183\) | −5.98331 | −0.442299 | ||||||||
\(184\) | −1.89032 | + | 4.40757i | −0.139356 | + | 0.324931i | ||||
\(185\) | −1.07644 | −0.0791417 | ||||||||
\(186\) | 2.98082 | − | 1.91566i | 0.218565 | − | 0.140463i | ||||
\(187\) | −0.532792 | + | 3.70565i | −0.0389616 | + | 0.270984i | ||||
\(188\) | 2.77393 | − | 6.07407i | 0.202310 | − | 0.442997i | ||||
\(189\) | 0.581209 | − | 0.170658i | 0.0422767 | − | 0.0124136i | ||||
\(190\) | 2.43604 | + | 5.33419i | 0.176729 | + | 0.386983i | ||||
\(191\) | −5.30167 | − | 6.11845i | −0.383615 | − | 0.442716i | 0.530798 | − | 0.847499i | \(-0.321892\pi\) |
−0.914413 | + | 0.404783i | \(0.867347\pi\) | |||||||
\(192\) | 0.341180 | + | 2.37296i | 0.0246225 | + | 0.171253i | ||||
\(193\) | −21.2103 | − | 6.22789i | −1.52675 | − | 0.448294i | −0.592695 | − | 0.805427i | \(-0.701936\pi\) |
−0.934053 | + | 0.357134i | \(0.883754\pi\) | |||||||
\(194\) | −6.17703 | + | 7.12867i | −0.443485 | + | 0.511808i | ||||
\(195\) | 19.9951 | + | 12.8501i | 1.43188 | + | 0.920212i | ||||
\(196\) | 0.841254 | + | 0.540641i | 0.0600895 | + | 0.0386172i | ||||
\(197\) | −4.64192 | + | 5.35706i | −0.330723 | + | 0.381675i | −0.896620 | − | 0.442801i | \(-0.853985\pi\) |
0.565896 | + | 0.824476i | \(0.308530\pi\) | |||||||
\(198\) | −2.23194 | − | 0.655357i | −0.158617 | − | 0.0465742i | ||||
\(199\) | −0.0334717 | − | 0.232800i | −0.00237274 | − | 0.0165028i | 0.988601 | − | 0.150561i | \(-0.0481081\pi\) |
−0.990973 | + | 0.134059i | \(0.957199\pi\) | |||||||
\(200\) | 0.524866 | + | 0.605728i | 0.0371136 | + | 0.0428314i | ||||
\(201\) | −11.0795 | − | 24.2608i | −0.781490 | − | 1.71122i | ||||
\(202\) | 14.8588 | − | 4.36294i | 1.04546 | − | 0.306975i | ||||
\(203\) | 1.55805 | − | 3.41164i | 0.109353 | − | 0.239450i | ||||
\(204\) | 1.50855 | − | 10.4922i | 0.105620 | − | 0.734603i | ||||
\(205\) | −7.53713 | + | 4.84382i | −0.526416 | + | 0.338307i | ||||
\(206\) | −12.5878 | −0.877031 | ||||||||
\(207\) | 8.85739 | + | 9.75430i | 0.615631 | + | 0.677970i | ||||
\(208\) | 4.83856 | 0.335493 | ||||||||
\(209\) | −2.03851 | + | 1.31007i | −0.141007 | + | 0.0906194i | ||||
\(210\) | 0.699086 | − | 4.86225i | 0.0482415 | − | 0.335527i | ||||
\(211\) | 7.23242 | − | 15.8368i | 0.497901 | − | 1.09025i | −0.479245 | − | 0.877681i | \(-0.659090\pi\) |
0.977146 | − | 0.212569i | \(-0.0681831\pi\) | |||||||
\(212\) | 11.3442 | − | 3.33095i | 0.779121 | − | 0.228771i | ||||
\(213\) | −10.3094 | − | 22.5744i | −0.706386 | − | 1.54677i | ||||
\(214\) | −1.84857 | − | 2.13337i | −0.126366 | − | 0.145834i | ||||
\(215\) | −2.28709 | − | 15.9071i | −0.155978 | − | 1.08485i | ||||
\(216\) | −0.581209 | − | 0.170658i | −0.0395463 | − | 0.0116118i | ||||
\(217\) | −0.967889 | + | 1.11700i | −0.0657046 | + | 0.0758271i | ||||
\(218\) | −7.33819 | − | 4.71597i | −0.497005 | − | 0.319406i | ||||
\(219\) | 21.6068 | + | 13.8858i | 1.46005 | + | 0.938319i | ||||
\(220\) | 1.13613 | − | 1.31116i | 0.0765976 | − | 0.0883983i | ||||
\(221\) | −20.5275 | − | 6.02741i | −1.38083 | − | 0.405447i | ||||
\(222\) | 0.179237 | + | 1.24662i | 0.0120296 | + | 0.0836676i | ||||
\(223\) | −19.2864 | − | 22.2576i | −1.29151 | − | 1.49048i | −0.771347 | − | 0.636415i | \(-0.780417\pi\) |
−0.520163 | − | 0.854067i | \(-0.674129\pi\) | |||||||
\(224\) | −0.415415 | − | 0.909632i | −0.0277561 | − | 0.0607773i | ||||
\(225\) | 2.11277 | − | 0.620364i | 0.140851 | − | 0.0413576i | ||||
\(226\) | −6.10953 | + | 13.3780i | −0.406400 | + | 0.889892i | ||||
\(227\) | −3.12727 | + | 21.7507i | −0.207564 | + | 1.44364i | 0.573507 | + | 0.819200i | \(0.305582\pi\) |
−0.781072 | + | 0.624441i | \(0.785327\pi\) | |||||||
\(228\) | 5.77185 | − | 3.70934i | 0.382250 | − | 0.245657i | ||||
\(229\) | −9.01469 | −0.595708 | −0.297854 | − | 0.954611i | \(-0.596271\pi\) | ||||
−0.297854 | + | 0.954611i | \(0.596271\pi\) | |||||||
\(230\) | −9.36183 | + | 2.98694i | −0.617301 | + | 0.196953i | ||||
\(231\) | 2.02985 | 0.133554 | ||||||||
\(232\) | −3.15518 | + | 2.02771i | −0.207148 | + | 0.133126i | ||||
\(233\) | −0.703431 | + | 4.89247i | −0.0460833 | + | 0.320516i | 0.953720 | + | 0.300695i | \(0.0972187\pi\) |
−0.999804 | + | 0.0198210i | \(0.993690\pi\) | |||||||
\(234\) | 5.52215 | − | 12.0918i | 0.360994 | − | 0.790468i | ||||
\(235\) | 13.1281 | − | 3.85477i | 0.856385 | − | 0.251457i | ||||
\(236\) | 3.18562 | + | 6.97553i | 0.207366 | + | 0.454069i | ||||
\(237\) | −9.98764 | − | 11.5263i | −0.648767 | − | 0.748717i | ||||
\(238\) | 0.629257 | + | 4.37658i | 0.0407887 | + | 0.283691i | ||||
\(239\) | 20.7936 | + | 6.10556i | 1.34503 | + | 0.394936i | 0.873461 | − | 0.486894i | \(-0.161870\pi\) |
0.471567 | + | 0.881830i | \(0.343688\pi\) | |||||||
\(240\) | −3.21684 | + | 3.71243i | −0.207646 | + | 0.239636i | ||||
\(241\) | 21.0569 | + | 13.5325i | 1.35640 | + | 0.871703i | 0.998082 | − | 0.0618986i | \(-0.0197156\pi\) |
0.358313 | + | 0.933601i | \(0.383352\pi\) | |||||||
\(242\) | −8.65069 | − | 5.55946i | −0.556088 | − | 0.357376i | ||||
\(243\) | −14.0292 | + | 16.1906i | −0.899973 | + | 1.03862i | ||||
\(244\) | −2.39470 | − | 0.703146i | −0.153305 | − | 0.0450143i | ||||
\(245\) | 0.291607 | + | 2.02817i | 0.0186301 | + | 0.129575i | ||||
\(246\) | 6.86457 | + | 7.92214i | 0.437669 | + | 0.505097i | ||||
\(247\) | −5.75246 | − | 12.5961i | −0.366020 | − | 0.801472i | ||||
\(248\) | 1.41814 | − | 0.416403i | 0.0900518 | − | 0.0264416i | ||||
\(249\) | −10.0608 | + | 22.0301i | −0.637577 | + | 1.39610i | ||||
\(250\) | −1.69175 | + | 11.7664i | −0.106996 | + | 0.744173i | ||||
\(251\) | 9.52616 | − | 6.12209i | 0.601286 | − | 0.386423i | −0.204295 | − | 0.978909i | \(-0.565490\pi\) |
0.805580 | + | 0.592487i | \(0.201854\pi\) | |||||||
\(252\) | −2.74733 | −0.173065 | ||||||||
\(253\) | −1.77225 | − | 3.65348i | −0.111420 | − | 0.229692i | ||||
\(254\) | 0.257039 | 0.0161281 | ||||||||
\(255\) | 18.2720 | − | 11.7427i | 1.14423 | − | 0.735355i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −3.62946 | + | 7.94740i | −0.226399 | + | 0.495745i | −0.988408 | − | 0.151822i | \(-0.951486\pi\) |
0.762009 | + | 0.647567i | \(0.224213\pi\) | |||||||
\(258\) | −18.0410 | + | 5.29732i | −1.12318 | + | 0.329797i | ||||
\(259\) | −0.218236 | − | 0.477870i | −0.0135605 | − | 0.0296934i | ||||
\(260\) | 6.49250 | + | 7.49275i | 0.402648 | + | 0.464681i | ||||
\(261\) | 1.46642 | + | 10.1992i | 0.0907691 | + | 0.631313i | ||||
\(262\) | 1.48145 | + | 0.434992i | 0.0915242 | + | 0.0268739i | ||||
\(263\) | −2.36520 | + | 2.72958i | −0.145844 | + | 0.168313i | −0.823971 | − | 0.566631i | \(-0.808246\pi\) |
0.678127 | + | 0.734945i | \(0.262792\pi\) | |||||||
\(264\) | −1.70762 | − | 1.09742i | −0.105096 | − | 0.0675414i | ||||
\(265\) | 20.3801 | + | 13.0975i | 1.25194 | + | 0.804571i | ||||
\(266\) | −1.87415 | + | 2.16288i | −0.114911 | + | 0.132615i | ||||
\(267\) | −25.8032 | − | 7.57649i | −1.57913 | − | 0.463674i | ||||
\(268\) | −1.58327 | − | 11.0119i | −0.0967139 | − | 0.672660i | ||||
\(269\) | 9.98432 | + | 11.5225i | 0.608755 | + | 0.702541i | 0.973531 | − | 0.228555i | \(-0.0733999\pi\) |
−0.364776 | + | 0.931095i | \(0.618854\pi\) | |||||||
\(270\) | −0.515609 | − | 1.12903i | −0.0313789 | − | 0.0687103i | ||||
\(271\) | −23.7761 | + | 6.98130i | −1.44430 | + | 0.424083i | −0.907651 | − | 0.419725i | \(-0.862127\pi\) |
−0.536644 | + | 0.843809i | \(0.680308\pi\) | |||||||
\(272\) | 1.83679 | − | 4.02201i | 0.111372 | − | 0.243870i | ||||
\(273\) | −1.65082 | + | 11.4817i | −0.0999120 | + | 0.694903i | ||||
\(274\) | −10.3954 | + | 6.68074i | −0.628011 | + | 0.403598i | ||||
\(275\) | −0.678624 | −0.0409226 | ||||||||
\(276\) | 5.01797 | + | 10.3445i | 0.302046 | + | 0.622665i | ||||
\(277\) | 23.6549 | 1.42129 | 0.710644 | − | 0.703552i | \(-0.248404\pi\) | ||||
0.710644 | + | 0.703552i | \(0.248404\pi\) | |||||||
\(278\) | 10.0696 | − | 6.47131i | 0.603932 | − | 0.388123i | ||||
\(279\) | 0.577879 | − | 4.01924i | 0.0345967 | − | 0.240626i | ||||
\(280\) | 0.851196 | − | 1.86386i | 0.0508687 | − | 0.111387i | ||||
\(281\) | 24.2967 | − | 7.13414i | 1.44942 | − | 0.425587i | 0.540068 | − | 0.841621i | \(-0.318399\pi\) |
0.909349 | + | 0.416034i | \(0.136580\pi\) | |||||||
\(282\) | −6.65011 | − | 14.5617i | −0.396008 | − | 0.867138i | ||||
\(283\) | 14.0259 | + | 16.1867i | 0.833751 | + | 0.962199i | 0.999714 | − | 0.0239325i | \(-0.00761869\pi\) |
−0.165963 | + | 0.986132i | \(0.553073\pi\) | |||||||
\(284\) | −1.47322 | − | 10.2465i | −0.0874194 | − | 0.608015i | ||||
\(285\) | 13.4889 | + | 3.96071i | 0.799015 | + | 0.234612i | ||||
\(286\) | −2.68284 | + | 3.09616i | −0.158640 | + | 0.183080i | ||||
\(287\) | −3.67840 | − | 2.36396i | −0.217129 | − | 0.139540i | ||||
\(288\) | 2.31120 | + | 1.48532i | 0.136189 | + | 0.0875232i | ||||
\(289\) | −1.67015 | + | 1.92746i | −0.0982442 | + | 0.113380i | ||||
\(290\) | −7.37373 | − | 2.16512i | −0.433000 | − | 0.127140i | ||||
\(291\) | 3.21820 | + | 22.3831i | 0.188654 | + | 1.31212i | ||||
\(292\) | 7.01584 | + | 8.09671i | 0.410571 | + | 0.473824i | ||||
\(293\) | 4.94653 | + | 10.8314i | 0.288980 | + | 0.632777i | 0.997325 | − | 0.0730885i | \(-0.0232856\pi\) |
−0.708346 | + | 0.705865i | \(0.750558\pi\) | |||||||
\(294\) | 2.30025 | − | 0.675414i | 0.134153 | − | 0.0393909i | ||||
\(295\) | −6.52742 | + | 14.2931i | −0.380041 | + | 0.832174i | ||||
\(296\) | −0.0747643 | + | 0.519997i | −0.00434558 | + | 0.0302242i | ||||
\(297\) | 0.431467 | − | 0.277287i | 0.0250362 | − | 0.0160898i | ||||
\(298\) | 19.7063 | 1.14155 | ||||||||
\(299\) | 22.1070 | − | 7.05335i | 1.27848 | − | 0.407906i | ||||
\(300\) | 1.92146 | 0.110936 | ||||||||
\(301\) | 6.59801 | − | 4.24029i | 0.380303 | − | 0.244406i | ||||
\(302\) | −0.608050 | + | 4.22908i | −0.0349893 | + | 0.243356i | ||||
\(303\) | 15.4226 | − | 33.7707i | 0.886004 | − | 1.94008i | ||||
\(304\) | 2.74598 | − | 0.806292i | 0.157493 | − | 0.0462440i | ||||
\(305\) | −2.12441 | − | 4.65181i | −0.121643 | − | 0.266362i | ||||
\(306\) | −7.95494 | − | 9.18050i | −0.454754 | − | 0.524814i | ||||
\(307\) | 4.35574 | + | 30.2948i | 0.248595 | + | 1.72902i | 0.606346 | + | 0.795201i | \(0.292635\pi\) |
−0.357751 | + | 0.933817i | \(0.616456\pi\) | |||||||
\(308\) | 0.812404 | + | 0.238543i | 0.0462910 | + | 0.0135923i | ||||
\(309\) | −19.7620 | + | 22.8065i | −1.12422 | + | 1.29742i | ||||
\(310\) | 2.54772 | + | 1.63732i | 0.144700 | + | 0.0929934i | ||||
\(311\) | 12.5162 | + | 8.04365i | 0.709727 | + | 0.456114i | 0.845050 | − | 0.534688i | \(-0.179571\pi\) |
−0.135323 | + | 0.990802i | \(0.543207\pi\) | |||||||
\(312\) | 7.59622 | − | 8.76651i | 0.430051 | − | 0.496306i | ||||
\(313\) | −7.11746 | − | 2.08988i | −0.402303 | − | 0.118127i | 0.0743204 | − | 0.997234i | \(-0.476321\pi\) |
−0.476623 | + | 0.879108i | \(0.658139\pi\) | |||||||
\(314\) | −2.76284 | − | 19.2160i | −0.155916 | − | 1.08442i | ||||
\(315\) | −3.68644 | − | 4.25438i | −0.207707 | − | 0.239707i | ||||
\(316\) | −2.64279 | − | 5.78691i | −0.148669 | − | 0.325539i | ||||
\(317\) | −30.2205 | + | 8.87355i | −1.69735 | + | 0.498388i | −0.980114 | − | 0.198437i | \(-0.936413\pi\) |
−0.717241 | + | 0.696825i | \(0.754595\pi\) | |||||||
\(318\) | 11.7746 | − | 25.7828i | 0.660287 | − | 1.44583i | ||||
\(319\) | 0.451937 | − | 3.14329i | 0.0253036 | − | 0.175991i | ||||
\(320\) | −1.72375 | + | 1.10779i | −0.0963606 | + | 0.0619272i | ||||
\(321\) | −6.76738 | −0.377718 | ||||||||
\(322\) | −3.22400 | − | 3.55047i | −0.179667 | − | 0.197860i | ||||
\(323\) | −12.6542 | −0.704096 | ||||||||
\(324\) | −8.15526 | + | 5.24107i | −0.453070 | + | 0.291170i | ||||
\(325\) | 0.551906 | − | 3.83859i | 0.0306143 | − | 0.212927i | ||||
\(326\) | 1.37870 | − | 3.01892i | 0.0763589 | − | 0.167203i | ||||
\(327\) | −20.0649 | + | 5.89159i | −1.10959 | + | 0.325806i | ||||
\(328\) | 1.81641 | + | 3.97738i | 0.100294 | + | 0.219614i | ||||
\(329\) | 4.37283 | + | 5.04652i | 0.241082 | + | 0.278224i | ||||
\(330\) | −0.591917 | − | 4.11687i | −0.0325840 | − | 0.226626i | ||||
\(331\) | −28.5695 | − | 8.38876i | −1.57032 | − | 0.461088i | −0.623227 | − | 0.782041i | \(-0.714179\pi\) |
−0.947095 | + | 0.320953i | \(0.895997\pi\) | |||||||
\(332\) | −6.61555 | + | 7.63476i | −0.363076 | + | 0.419012i | ||||
\(333\) | 1.21417 | + | 0.780303i | 0.0665364 | + | 0.0427603i | ||||
\(334\) | 11.1775 | + | 7.18335i | 0.611606 | + | 0.393055i | ||||
\(335\) | 14.9280 | − | 17.2279i | 0.815605 | − | 0.941259i | ||||
\(336\) | −2.30025 | − | 0.675414i | −0.125489 | − | 0.0368469i | ||||
\(337\) | 0.358631 | + | 2.49433i | 0.0195359 | + | 0.135875i | 0.997255 | − | 0.0740418i | \(-0.0235898\pi\) |
−0.977719 | + | 0.209917i | \(0.932681\pi\) | |||||||
\(338\) | −6.81816 | − | 7.86858i | −0.370859 | − | 0.427994i | ||||
\(339\) | 14.6467 | + | 32.0719i | 0.795502 | + | 1.74191i | ||||
\(340\) | 8.69295 | − | 2.55248i | 0.471441 | − | 0.138428i | ||||
\(341\) | −0.519863 | + | 1.13834i | −0.0281522 | + | 0.0616446i | ||||
\(342\) | 1.11896 | − | 7.78256i | 0.0605066 | − | 0.420833i | ||||
\(343\) | −0.841254 | + | 0.540641i | −0.0454234 | + | 0.0291919i | ||||
\(344\) | −7.84307 | −0.422870 | ||||||||
\(345\) | −9.28572 | + | 21.6511i | −0.499926 | + | 1.16566i | ||||
\(346\) | 3.70963 | 0.199431 | ||||||||
\(347\) | −29.7066 | + | 19.0913i | −1.59473 | + | 1.02487i | −0.625026 | + | 0.780604i | \(0.714911\pi\) |
−0.969708 | + | 0.244268i | \(0.921452\pi\) | |||||||
\(348\) | −1.27962 | + | 8.89995i | −0.0685948 | + | 0.477088i | ||||
\(349\) | 11.1673 | − | 24.4530i | 0.597772 | − | 1.30894i | −0.332858 | − | 0.942977i | \(-0.608013\pi\) |
0.930630 | − | 0.365962i | \(-0.119260\pi\) | |||||||
\(350\) | −0.769026 | + | 0.225806i | −0.0411062 | + | 0.0120699i | ||||
\(351\) | 1.21755 | + | 2.66607i | 0.0649883 | + | 0.142304i | ||||
\(352\) | −0.554471 | − | 0.639894i | −0.0295534 | − | 0.0341065i | ||||
\(353\) | −1.68773 | − | 11.7384i | −0.0898290 | − | 0.624775i | −0.984149 | − | 0.177346i | \(-0.943249\pi\) |
0.894320 | − | 0.447429i | \(-0.147660\pi\) | |||||||
\(354\) | 17.6395 | + | 5.17943i | 0.937529 | + | 0.275283i | ||||
\(355\) | 13.8904 | − | 16.0303i | 0.737223 | − | 0.850801i | ||||
\(356\) | −9.43680 | − | 6.06467i | −0.500150 | − | 0.321427i | ||||
\(357\) | 8.91739 | + | 5.73086i | 0.471958 | + | 0.303309i | ||||
\(358\) | −11.3137 | + | 13.0567i | −0.597946 | + | 0.690067i | ||||
\(359\) | 12.2600 | + | 3.59986i | 0.647058 | + | 0.189993i | 0.588763 | − | 0.808306i | \(-0.299615\pi\) |
0.0582955 | + | 0.998299i | \(0.481433\pi\) | |||||||
\(360\) | 0.801139 | + | 5.57205i | 0.0422238 | + | 0.293673i | ||||
\(361\) | 7.07871 | + | 8.16927i | 0.372564 | + | 0.429962i | ||||
\(362\) | −1.77617 | − | 3.88927i | −0.0933533 | − | 0.204415i | ||||
\(363\) | −23.6537 | + | 6.94535i | −1.24150 | + | 0.364536i | ||||
\(364\) | −2.01001 | + | 4.40131i | −0.105353 | + | 0.230691i | ||||
\(365\) | −3.12412 | + | 21.7288i | −0.163524 | + | 1.13734i | ||||
\(366\) | −5.03348 | + | 3.23482i | −0.263104 | + | 0.169087i | ||||
\(367\) | 7.64902 | 0.399276 | 0.199638 | − | 0.979870i | \(-0.436023\pi\) | ||||
0.199638 | + | 0.979870i | \(0.436023\pi\) | |||||||
\(368\) | 0.792676 | + | 4.72987i | 0.0413211 | + | 0.246561i | ||||
\(369\) | 12.0127 | 0.625358 | ||||||||
\(370\) | −0.905562 | + | 0.581969i | −0.0470779 | + | 0.0302552i | ||||
\(371\) | −1.68260 | + | 11.7028i | −0.0873563 | + | 0.607577i | ||||
\(372\) | 1.47195 | − | 3.22311i | 0.0763168 | − | 0.167111i | ||||
\(373\) | 8.33763 | − | 2.44815i | 0.431706 | − | 0.126760i | −0.0586578 | − | 0.998278i | \(-0.518682\pi\) |
0.490364 | + | 0.871518i | \(0.336864\pi\) | |||||||
\(374\) | 1.55521 | + | 3.40544i | 0.0804182 | + | 0.176091i | ||||
\(375\) | 18.6625 | + | 21.5376i | 0.963726 | + | 1.11220i | ||||
\(376\) | −0.950307 | − | 6.60953i | −0.0490084 | − | 0.340861i | ||||
\(377\) | 17.4123 | + | 5.11270i | 0.896778 | + | 0.263318i | ||||
\(378\) | 0.396679 | − | 0.457792i | 0.0204030 | − | 0.0235463i | ||||
\(379\) | −4.68399 | − | 3.01022i | −0.240600 | − | 0.154625i | 0.414784 | − | 0.909920i | \(-0.363857\pi\) |
−0.655385 | + | 0.755295i | \(0.727493\pi\) | |||||||
\(380\) | 4.93321 | + | 3.17038i | 0.253068 | + | 0.162637i | ||||
\(381\) | 0.403535 | − | 0.465704i | 0.0206737 | − | 0.0238587i | ||||
\(382\) | −7.76793 | − | 2.28087i | −0.397442 | − | 0.116699i | ||||
\(383\) | −2.38181 | − | 16.5659i | −0.121705 | − | 0.846476i | −0.955624 | − | 0.294589i | \(-0.904817\pi\) |
0.833919 | − | 0.551887i | \(-0.186092\pi\) | |||||||
\(384\) | 1.56994 | + | 1.81180i | 0.0801155 | + | 0.0924582i | ||||
\(385\) | 0.720709 | + | 1.57813i | 0.0367307 | + | 0.0804291i | ||||
\(386\) | −21.2103 | + | 6.22789i | −1.07957 | + | 0.316991i | ||||
\(387\) | −8.95115 | + | 19.6003i | −0.455013 | + | 0.996339i | ||||
\(388\) | −1.34240 | + | 9.33657i | −0.0681498 | + | 0.473992i | ||||
\(389\) | 16.9150 | − | 10.8706i | 0.857626 | − | 0.551163i | −0.0363184 | − | 0.999340i | \(-0.511563\pi\) |
0.893945 | + | 0.448177i | \(0.147927\pi\) | |||||||
\(390\) | 23.7682 | 1.20355 | ||||||||
\(391\) | 2.52911 | − | 21.0538i | 0.127902 | − | 1.06474i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | 3.11390 | − | 2.00118i | 0.157075 | − | 0.100946i | ||||
\(394\) | −1.00879 | + | 7.01626i | −0.0508219 | + | 0.353474i | ||||
\(395\) | 5.41515 | − | 11.8575i | 0.272466 | − | 0.596617i | ||||
\(396\) | −2.23194 | + | 0.655357i | −0.112159 | + | 0.0329329i | ||||
\(397\) | 11.5362 | + | 25.2608i | 0.578985 | + | 1.26780i | 0.941873 | + | 0.335968i | \(0.109064\pi\) |
−0.362888 | + | 0.931833i | \(0.618209\pi\) | |||||||
\(398\) | −0.154020 | − | 0.177748i | −0.00772030 | − | 0.00890970i | ||||
\(399\) | 0.976424 | + | 6.79118i | 0.0488823 | + | 0.339984i | ||||
\(400\) | 0.769026 | + | 0.225806i | 0.0384513 | + | 0.0112903i | ||||
\(401\) | 1.74102 | − | 2.00924i | 0.0869423 | − | 0.100337i | −0.710611 | − | 0.703585i | \(-0.751582\pi\) |
0.797554 | + | 0.603248i | \(0.206127\pi\) | |||||||
\(402\) | −22.4371 | − | 14.4194i | −1.11906 | − | 0.719176i | ||||
\(403\) | −6.01616 | − | 3.86635i | −0.299686 | − | 0.192597i | ||||
\(404\) | 10.1412 | − | 11.7036i | 0.504545 | − | 0.582276i | ||||
\(405\) | −19.0590 | − | 5.59623i | −0.947049 | − | 0.278079i | ||||
\(406\) | −0.533762 | − | 3.71240i | −0.0264902 | − | 0.184243i | ||||
\(407\) | −0.291288 | − | 0.336165i | −0.0144386 | − | 0.0166631i | ||||
\(408\) | −4.40345 | − | 9.64221i | −0.218003 | − | 0.477360i | ||||
\(409\) | −7.49279 | + | 2.20008i | −0.370495 | + | 0.108787i | −0.461679 | − | 0.887047i | \(-0.652753\pi\) |
0.0911846 | + | 0.995834i | \(0.470935\pi\) | |||||||
\(410\) | −3.72187 | + | 8.14976i | −0.183810 | + | 0.402488i | ||||
\(411\) | −4.21598 | + | 29.3228i | −0.207959 | + | 1.44639i | ||||
\(412\) | −10.5895 | + | 6.80546i | −0.521707 | + | 0.335281i | ||||
\(413\) | −7.66852 | −0.377343 | ||||||||
\(414\) | 12.7249 | + | 3.41717i | 0.625394 | + | 0.167945i | ||||
\(415\) | −20.6997 | −1.01611 | ||||||||
\(416\) | 4.07045 | − | 2.61592i | 0.199570 | − | 0.128256i | ||||
\(417\) | 4.08382 | − | 28.4036i | 0.199985 | − | 1.39093i | ||||
\(418\) | −1.00662 | + | 2.20420i | −0.0492356 | + | 0.107811i | ||||
\(419\) | −4.19963 | + | 1.23312i | −0.205165 | + | 0.0602420i | −0.382700 | − | 0.923872i | \(-0.625006\pi\) |
0.177535 | + | 0.984114i | \(0.443188\pi\) | |||||||
\(420\) | −2.04062 | − | 4.46834i | −0.0995722 | − | 0.218033i | ||||
\(421\) | 10.1277 | + | 11.6880i | 0.493594 | + | 0.569638i | 0.946822 | − | 0.321756i | \(-0.104273\pi\) |
−0.453228 | + | 0.891395i | \(0.649728\pi\) | |||||||
\(422\) | −2.47772 | − | 17.2329i | −0.120613 | − | 0.838885i | ||||
\(423\) | −17.6022 | − | 5.16846i | −0.855847 | − | 0.251299i | ||||
\(424\) | 7.74248 | − | 8.93530i | 0.376008 | − | 0.433936i | ||||
\(425\) | −2.98129 | − | 1.91596i | −0.144614 | − | 0.0929376i | ||||
\(426\) | −20.8774 | − | 13.4171i | −1.01151 | − | 0.650061i | ||||
\(427\) | 1.63440 | − | 1.88619i | 0.0790940 | − | 0.0912794i | ||||
\(428\) | −2.70850 | − | 0.795288i | −0.130920 | − | 0.0384417i | ||||
\(429\) | 1.39775 | + | 9.72155i | 0.0674839 | + | 0.469361i | ||||
\(430\) | −10.5240 | − | 12.1454i | −0.507515 | − | 0.585703i | ||||
\(431\) | −14.8865 | − | 32.5970i | −0.717059 | − | 1.57014i | −0.817981 | − | 0.575246i | \(-0.804907\pi\) |
0.100922 | − | 0.994894i | \(-0.467821\pi\) | |||||||
\(432\) | −0.581209 | + | 0.170658i | −0.0279634 | + | 0.00821080i | ||||
\(433\) | 13.7987 | − | 30.2150i | 0.663125 | − | 1.45204i | −0.216457 | − | 0.976292i | \(-0.569450\pi\) |
0.879581 | − | 0.475748i | \(-0.157823\pi\) | |||||||
\(434\) | −0.210342 | + | 1.46296i | −0.0100968 | + | 0.0702245i | ||||
\(435\) | −15.4991 | + | 9.96064i | −0.743123 | + | 0.477576i | ||||
\(436\) | −8.72293 | −0.417753 | ||||||||
\(437\) | 11.3708 | − | 7.68680i | 0.543938 | − | 0.367709i | ||||
\(438\) | 25.6841 | 1.22723 | ||||||||
\(439\) | −4.25309 | + | 2.73330i | −0.202989 | + | 0.130453i | −0.638186 | − | 0.769882i | \(-0.720315\pi\) |
0.435197 | + | 0.900335i | \(0.356679\pi\) | |||||||
\(440\) | 0.246904 | − | 1.71725i | 0.0117707 | − | 0.0818669i | ||||
\(441\) | 1.14128 | − | 2.49906i | 0.0543467 | − | 0.119003i | ||||
\(442\) | −20.5275 | + | 6.02741i | −0.976392 | + | 0.286695i | ||||
\(443\) | −0.846468 | − | 1.85351i | −0.0402169 | − | 0.0880627i | 0.888457 | − | 0.458959i | \(-0.151778\pi\) |
−0.928674 | + | 0.370897i | \(0.879050\pi\) | |||||||
\(444\) | 0.824757 | + | 0.951820i | 0.0391412 | + | 0.0451714i | ||||
\(445\) | −3.27111 | − | 22.7511i | −0.155066 | − | 1.07851i | ||||
\(446\) | −28.2581 | − | 8.29733i | −1.33806 | − | 0.392890i | ||||
\(447\) | 30.9376 | − | 35.7038i | 1.46330 | − | 1.68873i | ||||
\(448\) | −0.841254 | − | 0.540641i | −0.0397455 | − | 0.0255429i | ||||
\(449\) | 24.4459 | + | 15.7104i | 1.15367 | + | 0.741420i | 0.970367 | − | 0.241636i | \(-0.0776839\pi\) |
0.183306 | + | 0.983056i | \(0.441320\pi\) | |||||||
\(450\) | 1.44198 | − | 1.66413i | 0.0679755 | − | 0.0784479i | ||||
\(451\) | −3.55225 | − | 1.04303i | −0.167269 | − | 0.0491146i | ||||
\(452\) | 2.09303 | + | 14.5574i | 0.0984480 | + | 0.684721i | ||||
\(453\) | 6.70766 | + | 7.74105i | 0.315153 | + | 0.363706i | ||||
\(454\) | 9.12846 | + | 19.9885i | 0.428420 | + | 0.938109i | ||||
\(455\) | −9.51273 | + | 2.79319i | −0.445964 | + | 0.130947i | ||||
\(456\) | 2.85017 | − | 6.24100i | 0.133471 | − | 0.292262i | ||||
\(457\) | 0.0153365 | − | 0.106668i | 0.000717411 | − | 0.00498970i | −0.989460 | − | 0.144809i | \(-0.953743\pi\) |
0.990177 | + | 0.139820i | \(0.0446522\pi\) | |||||||
\(458\) | −7.58364 | + | 4.87371i | −0.354360 | + | 0.227734i | ||||
\(459\) | 2.67836 | 0.125015 | ||||||||
\(460\) | −6.26081 | + | 7.57416i | −0.291912 | + | 0.353147i | ||||
\(461\) | −21.9711 | −1.02330 | −0.511648 | − | 0.859195i | \(-0.670965\pi\) | ||||
−0.511648 | + | 0.859195i | \(0.670965\pi\) | |||||||
\(462\) | 1.70762 | − | 1.09742i | 0.0794454 | − | 0.0510565i | ||||
\(463\) | 2.09407 | − | 14.5646i | 0.0973196 | − | 0.676873i | −0.881505 | − | 0.472174i | \(-0.843469\pi\) |
0.978825 | − | 0.204699i | \(-0.0656214\pi\) | |||||||
\(464\) | −1.55805 | + | 3.41164i | −0.0723304 | + | 0.158382i | ||||
\(465\) | 6.96625 | − | 2.04547i | 0.323052 | − | 0.0948566i | ||||
\(466\) | 2.05330 | + | 4.49611i | 0.0951175 | + | 0.208278i | ||||
\(467\) | 10.8380 | + | 12.5077i | 0.501523 | + | 0.578788i | 0.948908 | − | 0.315553i | \(-0.102190\pi\) |
−0.447385 | + | 0.894341i | \(0.647645\pi\) | |||||||
\(468\) | −1.89181 | − | 13.1578i | −0.0874487 | − | 0.608219i | ||||
\(469\) | 10.6745 | + | 3.13432i | 0.492903 | + | 0.144729i | ||||
\(470\) | 8.96005 | − | 10.3404i | 0.413296 | − | 0.476969i | ||||
\(471\) | −39.1530 | − | 25.1621i | −1.80408 | − | 1.15941i | ||||
\(472\) | 6.45117 | + | 4.14592i | 0.296939 | + | 0.190831i | ||||
\(473\) | 4.34876 | − | 5.01874i | 0.199956 | − | 0.230762i | ||||
\(474\) | −14.6337 | − | 4.29686i | −0.672150 | − | 0.197361i | ||||
\(475\) | −0.326441 | − | 2.27045i | −0.0149781 | − | 0.104175i | ||||
\(476\) | 2.89552 | + | 3.34161i | 0.132716 | + | 0.153162i | ||||
\(477\) | −13.4935 | − | 29.5466i | −0.617824 | − | 1.35285i | ||||
\(478\) | 20.7936 | − | 6.10556i | 0.951079 | − | 0.279262i | ||||
\(479\) | 4.54086 | − | 9.94309i | 0.207477 | − | 0.454311i | −0.777074 | − | 0.629409i | \(-0.783297\pi\) |
0.984551 | + | 0.175098i | \(0.0560242\pi\) | |||||||
\(480\) | −0.699086 | + | 4.86225i | −0.0319088 | + | 0.221930i | ||||
\(481\) | 2.13839 | − | 1.37426i | 0.0975021 | − | 0.0626608i | ||||
\(482\) | 25.0304 | 1.14010 | ||||||||
\(483\) | −11.4942 | + | 0.267250i | −0.523005 | + | 0.0121603i | ||||
\(484\) | −10.2831 | −0.467414 | ||||||||
\(485\) | −16.2594 | + | 10.4493i | −0.738302 | + | 0.474478i | ||||
\(486\) | −3.04884 | + | 21.2051i | −0.138298 | + | 0.961884i | ||||
\(487\) | 9.87364 | − | 21.6203i | 0.447417 | − | 0.979707i | −0.542760 | − | 0.839888i | \(-0.682621\pi\) |
0.990177 | − | 0.139819i | \(-0.0446522\pi\) | |||||||
\(488\) | −2.39470 | + | 0.703146i | −0.108403 | + | 0.0318299i | ||||
\(489\) | −3.30523 | − | 7.23744i | −0.149468 | − | 0.327288i | ||||
\(490\) | 1.34183 | + | 1.54855i | 0.0606176 | + | 0.0699564i | ||||
\(491\) | −3.72795 | − | 25.9285i | −0.168240 | − | 1.17014i | −0.882520 | − | 0.470275i | \(-0.844155\pi\) |
0.714280 | − | 0.699860i | \(-0.246754\pi\) | |||||||
\(492\) | 10.0579 | + | 2.95326i | 0.453444 | + | 0.133143i | ||||
\(493\) | 10.8599 | − | 12.5330i | 0.489104 | − | 0.564456i | ||||
\(494\) | −11.6493 | − | 7.48652i | −0.524125 | − | 0.336834i | ||||
\(495\) | −4.00973 | − | 2.57690i | −0.180224 | − | 0.115823i | ||||
\(496\) | 0.967889 | − | 1.11700i | 0.0434595 | − | 0.0501549i | ||||
\(497\) | 9.93250 | + | 2.91645i | 0.445534 | + | 0.130820i | ||||
\(498\) | 3.44668 | + | 23.9722i | 0.154449 | + | 1.07422i | ||||
\(499\) | −7.86675 | − | 9.07871i | −0.352164 | − | 0.406419i | 0.551835 | − | 0.833953i | \(-0.313928\pi\) |
−0.903999 | + | 0.427534i | \(0.859382\pi\) | |||||||
\(500\) | 4.93821 | + | 10.8132i | 0.220843 | + | 0.483580i | ||||
\(501\) | 30.5628 | − | 8.97404i | 1.36544 | − | 0.400931i | ||||
\(502\) | 4.70406 | − | 10.3005i | 0.209953 | − | 0.459732i | ||||
\(503\) | 2.05241 | − | 14.2749i | 0.0915127 | − | 0.636485i | −0.891510 | − | 0.453001i | \(-0.850353\pi\) |
0.983023 | − | 0.183484i | \(-0.0587374\pi\) | |||||||
\(504\) | −2.31120 | + | 1.48532i | −0.102949 | + | 0.0661613i | ||||
\(505\) | 31.7314 | 1.41203 | ||||||||
\(506\) | −3.46613 | − | 2.11535i | −0.154088 | − | 0.0940387i | ||||
\(507\) | −24.9604 | −1.10853 | ||||||||
\(508\) | 0.216235 | − | 0.138966i | 0.00959387 | − | 0.00616561i | ||||
\(509\) | 5.47513 | − | 38.0803i | 0.242681 | − | 1.68788i | −0.395874 | − | 0.918305i | \(-0.629558\pi\) |
0.638555 | − | 0.769576i | \(-0.279533\pi\) | |||||||
\(510\) | 9.02278 | − | 19.7571i | 0.399535 | − | 0.874861i | ||||
\(511\) | −10.2795 | + | 3.01834i | −0.454739 | + | 0.133523i | ||||
\(512\) | 0.415415 | + | 0.909632i | 0.0183589 | + | 0.0402004i | ||||
\(513\) | 1.13526 | + | 1.31016i | 0.0501229 | + | 0.0578449i | ||||
\(514\) | 1.24340 | + | 8.64801i | 0.0548439 | + | 0.381447i | ||||
\(515\) | −24.7479 | − | 7.26663i | −1.09052 | − | 0.320206i | ||||
\(516\) | −12.3131 | + | 14.2101i | −0.542055 | + | 0.625565i | ||||
\(517\) | 4.75632 | + | 3.05670i | 0.209183 | + | 0.134434i | ||||
\(518\) | −0.441948 | − | 0.284022i | −0.0194181 | − | 0.0124792i | ||||
\(519\) | 5.82388 | − | 6.72111i | 0.255640 | − | 0.295024i | ||||
\(520\) | 9.51273 | + | 2.79319i | 0.417161 | + | 0.122489i | ||||
\(521\) | −1.77312 | − | 12.3323i | −0.0776817 | − | 0.540288i | −0.991085 | − | 0.133232i | \(-0.957464\pi\) |
0.913403 | − | 0.407056i | \(-0.133445\pi\) | |||||||
\(522\) | 6.74772 | + | 7.78729i | 0.295340 | + | 0.340840i | ||||
\(523\) | −12.6639 | − | 27.7302i | −0.553756 | − | 1.21256i | −0.955006 | − | 0.296587i | \(-0.904151\pi\) |
0.401250 | − | 0.915969i | \(-0.368576\pi\) | |||||||
\(524\) | 1.48145 | − | 0.434992i | 0.0647173 | − | 0.0190027i | ||||
\(525\) | −0.798205 | + | 1.74783i | −0.0348365 | + | 0.0762814i | ||||
\(526\) | −0.514006 | + | 3.57499i | −0.0224117 | + | 0.155877i | ||||
\(527\) | −5.49770 | + | 3.53316i | −0.239484 | + | 0.153907i | ||||
\(528\) | −2.02985 | −0.0883377 | ||||||||
\(529\) | 10.5166 | + | 20.4549i | 0.457243 | + | 0.889342i | ||||
\(530\) | 24.2258 | 1.05230 | ||||||||
\(531\) | 17.7235 | − | 11.3902i | 0.769134 | − | 0.494292i | ||||
\(532\) | −0.407292 | + | 2.83278i | −0.0176583 | + | 0.122816i | ||||
\(533\) | 8.78880 | − | 19.2448i | 0.380685 | − | 0.833584i | ||||
\(534\) | −25.8032 | + | 7.57649i | −1.11661 | + | 0.327867i | ||||
\(535\) | −2.40280 | − | 5.26139i | −0.103882 | − | 0.227470i | ||||
\(536\) | −7.28543 | − | 8.40783i | −0.314683 | − | 0.363163i | ||||
\(537\) | 5.89438 | + | 40.9963i | 0.254361 | + | 1.76912i | ||||
\(538\) | 14.6289 | + | 4.29543i | 0.630696 | + | 0.185189i | ||||
\(539\) | −0.554471 | + | 0.639894i | −0.0238828 | + | 0.0275622i | ||||
\(540\) | −1.04415 | − | 0.671038i | −0.0449333 | − | 0.0288769i | ||||
\(541\) | 19.6717 | + | 12.6423i | 0.845754 | + | 0.543533i | 0.890248 | − | 0.455477i | \(-0.150531\pi\) |
−0.0444939 | + | 0.999010i | \(0.514168\pi\) | |||||||
\(542\) | −16.2274 | + | 18.7274i | −0.697025 | + | 0.804410i | ||||
\(543\) | −9.83505 | − | 2.88783i | −0.422062 | − | 0.123929i | ||||
\(544\) | −0.629257 | − | 4.37658i | −0.0269792 | − | 0.187644i | ||||
\(545\) | −11.7047 | − | 13.5079i | −0.501372 | − | 0.578615i | ||||
\(546\) | 4.81871 | + | 10.5515i | 0.206222 | + | 0.451563i | ||||
\(547\) | −11.4753 | + | 3.36946i | −0.490649 | + | 0.144068i | −0.517693 | − | 0.855567i | \(-0.673209\pi\) |
0.0270434 | + | 0.999634i | \(0.491391\pi\) | |||||||
\(548\) | −5.13331 | + | 11.2404i | −0.219284 | + | 0.480166i | ||||
\(549\) | −0.975819 | + | 6.78697i | −0.0416469 | + | 0.289661i | ||||
\(550\) | −0.570895 | + | 0.366892i | −0.0243431 | + | 0.0156443i | ||||
\(551\) | 10.7338 | 0.457275 | ||||||||
\(552\) | 9.81404 | + | 5.98942i | 0.417713 | + | 0.254927i | ||||
\(553\) | 6.36181 | 0.270532 | ||||||||
\(554\) | 19.8998 | − | 12.7888i | 0.845461 | − | 0.543345i | ||||
\(555\) | −0.367261 | + | 2.55435i | −0.0155894 | + | 0.108426i | ||||
\(556\) | 4.97239 | − | 10.8880i | 0.210876 | − | 0.461755i | ||||
\(557\) | 10.1197 | − | 2.97140i | 0.428784 | − | 0.125902i | −0.0602173 | − | 0.998185i | \(-0.519179\pi\) |
0.489002 | + | 0.872283i | \(0.337361\pi\) | |||||||
\(558\) | −1.68682 | − | 3.69362i | −0.0714089 | − | 0.156364i | ||||
\(559\) | 24.8514 | + | 28.6801i | 1.05110 | + | 1.21304i | ||||
\(560\) | −0.291607 | − | 2.02817i | −0.0123226 | − | 0.0857058i | ||||
\(561\) | 8.61158 | + | 2.52859i | 0.363581 | + | 0.106757i | ||||
\(562\) | 16.5826 | − | 19.1374i | 0.699496 | − | 0.807262i | ||||
\(563\) | −15.3892 | − | 9.89003i | −0.648577 | − | 0.416815i | 0.174569 | − | 0.984645i | \(-0.444147\pi\) |
−0.823146 | + | 0.567830i | \(0.807783\pi\) | |||||||
\(564\) | −13.4671 | − | 8.65477i | −0.567067 | − | 0.364432i | ||||
\(565\) | −19.7343 | + | 22.7746i | −0.830229 | + | 0.958136i | ||||
\(566\) | 20.5505 | + | 6.03417i | 0.863802 | + | 0.253635i | ||||
\(567\) | −1.37962 | − | 9.59550i | −0.0579388 | − | 0.402973i | ||||
\(568\) | −6.77900 | − | 7.82339i | −0.284441 | − | 0.328262i | ||||
\(569\) | −1.51236 | − | 3.31160i | −0.0634013 | − | 0.138829i | 0.875279 | − | 0.483618i | \(-0.160678\pi\) |
−0.938680 | + | 0.344789i | \(0.887950\pi\) | |||||||
\(570\) | 13.4889 | − | 3.96071i | 0.564989 | − | 0.165896i | ||||
\(571\) | 15.4982 | − | 33.9362i | 0.648577 | − | 1.42019i | −0.244216 | − | 0.969721i | \(-0.578531\pi\) |
0.892794 | − | 0.450466i | \(-0.148742\pi\) | |||||||
\(572\) | −0.583037 | + | 4.05511i | −0.0243780 | + | 0.169553i | ||||
\(573\) | −16.3276 | + | 10.4931i | −0.682097 | + | 0.438357i | ||||
\(574\) | −4.37252 | −0.182505 | ||||||||
\(575\) | 3.84278 | − | 0.0893478i | 0.160255 | − | 0.00372606i | ||||
\(576\) | 2.74733 | 0.114472 | ||||||||
\(577\) | −23.0141 | + | 14.7903i | −0.958089 | + | 0.615726i | −0.923469 | − | 0.383674i | \(-0.874659\pi\) |
−0.0346204 | + | 0.999401i | \(0.511022\pi\) | |||||||
\(578\) | −0.362958 | + | 2.52443i | −0.0150971 | + | 0.105002i | ||||
\(579\) | −22.0150 | + | 48.2062i | −0.914913 | + | 2.00338i | ||||
\(580\) | −7.37373 | + | 2.16512i | −0.306177 | + | 0.0899018i | ||||
\(581\) | −4.19662 | − | 9.18931i | −0.174105 | − | 0.381237i | ||||
\(582\) | 14.8085 | + | 17.0900i | 0.613834 | + | 0.708402i | ||||
\(583\) | 1.42466 | + | 9.90873i | 0.0590034 | + | 0.410378i | ||||
\(584\) | 10.2795 | + | 3.01834i | 0.425369 | + | 0.124900i | ||||
\(585\) | 17.8370 | − | 20.5850i | 0.737471 | − | 0.851086i | ||||
\(586\) | 10.0172 | + | 6.43765i | 0.413806 | + | 0.265937i | ||||
\(587\) | 23.6883 | + | 15.2236i | 0.977722 | + | 0.628344i | 0.928848 | − | 0.370461i | \(-0.120800\pi\) |
0.0488738 | + | 0.998805i | \(0.484437\pi\) | |||||||
\(588\) | 1.56994 | − | 1.81180i | 0.0647431 | − | 0.0747175i | ||||
\(589\) | −4.05858 | − | 1.19171i | −0.167231 | − | 0.0491034i | ||||
\(590\) | 2.23619 | + | 15.5531i | 0.0920626 | + | 0.640310i | ||||
\(591\) | 11.1284 | + | 12.8428i | 0.457759 | + | 0.528282i | ||||
\(592\) | 0.218236 | + | 0.477870i | 0.00896944 | + | 0.0196403i | ||||
\(593\) | 32.6300 | − | 9.58103i | 1.33995 | − | 0.393446i | 0.468301 | − | 0.883569i | \(-0.344866\pi\) |
0.871653 | + | 0.490123i | \(0.163048\pi\) | |||||||
\(594\) | 0.213060 | − | 0.466537i | 0.00874198 | − | 0.0191423i | ||||
\(595\) | −1.28936 | + | 8.96772i | −0.0528588 | + | 0.367641i | ||||
\(596\) | 16.5780 | − | 10.6540i | 0.679059 | − | 0.436405i | ||||
\(597\) | −0.563845 | −0.0230766 | ||||||||
\(598\) | 14.7842 | − | 17.8856i | 0.604572 | − | 0.731396i | ||||
\(599\) | 26.1591 | 1.06883 | 0.534417 | − | 0.845221i | \(-0.320531\pi\) | ||||
0.534417 | + | 0.845221i | \(0.320531\pi\) | |||||||
\(600\) | 1.61644 | − | 1.03882i | 0.0659908 | − | 0.0424097i | ||||
\(601\) | −1.69407 | + | 11.7825i | −0.0691027 | + | 0.480620i | 0.925656 | + | 0.378367i | \(0.123514\pi\) |
−0.994758 | + | 0.102253i | \(0.967395\pi\) | |||||||
\(602\) | 3.25813 | − | 7.13431i | 0.132791 | − | 0.290773i | ||||
\(603\) | −29.3264 | + | 8.61100i | −1.19426 | + | 0.350667i | ||||
\(604\) | 1.77489 | + | 3.88646i | 0.0722192 | + | 0.158138i | ||||
\(605\) | −13.7981 | − | 15.9239i | −0.560974 | − | 0.647398i | ||||
\(606\) | −5.28354 | − | 36.7478i | −0.214629 | − | 1.49278i | ||||
\(607\) | −44.8360 | − | 13.1650i | −1.81984 | − | 0.534352i | −0.820530 | − | 0.571603i | \(-0.806322\pi\) |
−0.999306 | + | 0.0372511i | \(0.988140\pi\) | |||||||
\(608\) | 1.87415 | − | 2.16288i | 0.0760068 | − | 0.0877165i | ||||
\(609\) | −7.56411 | − | 4.86116i | −0.306513 | − | 0.196984i | ||||
\(610\) | −4.30212 | − | 2.76481i | −0.174188 | − | 0.111944i | ||||
\(611\) | −21.1582 | + | 24.4179i | −0.855969 | + | 0.987841i | ||||
\(612\) | −11.6555 | − | 3.42236i | −0.471145 | − | 0.138341i | ||||
\(613\) | 2.69593 | + | 18.7506i | 0.108888 | + | 0.757331i | 0.968970 | + | 0.247177i | \(0.0795028\pi\) |
−0.860083 | + | 0.510155i | \(0.829588\pi\) | |||||||
\(614\) | 20.0429 | + | 23.1308i | 0.808866 | + | 0.933481i | ||||
\(615\) | 8.92266 | + | 19.5379i | 0.359796 | + | 0.787844i | ||||
\(616\) | 0.812404 | − | 0.238543i | 0.0327327 | − | 0.00961118i | ||||
\(617\) | −4.59525 | + | 10.0622i | −0.184998 | + | 0.405089i | −0.979294 | − | 0.202442i | \(-0.935112\pi\) |
0.794297 | + | 0.607530i | \(0.207840\pi\) | |||||||
\(618\) | −4.29469 | + | 29.8702i | −0.172758 | + | 1.20156i | ||||
\(619\) | −20.4241 | + | 13.1258i | −0.820915 | + | 0.527570i | −0.882379 | − | 0.470539i | \(-0.844059\pi\) |
0.0614638 | + | 0.998109i | \(0.480423\pi\) | |||||||
\(620\) | 3.02847 | 0.121626 | ||||||||
\(621\) | −2.40672 | + | 1.62697i | −0.0965784 | + | 0.0652882i | ||||
\(622\) | 14.8780 | 0.596553 | ||||||||
\(623\) | 9.43680 | − | 6.06467i | 0.378078 | − | 0.242976i | ||||
\(624\) | 1.65082 | − | 11.4817i | 0.0660856 | − | 0.459635i | ||||
\(625\) | −8.45376 | + | 18.5111i | −0.338150 | + | 0.740446i | ||||
\(626\) | −7.11746 | + | 2.08988i | −0.284471 | + | 0.0835282i | ||||
\(627\) | 2.41324 | + | 5.28426i | 0.0963755 | + | 0.211033i | ||||
\(628\) | −12.7132 | − | 14.6718i | −0.507312 | − | 0.585469i | ||||
\(629\) | −0.330576 | − | 2.29921i | −0.0131809 | − | 0.0916755i | ||||
\(630\) | −5.40132 | − | 1.58597i | −0.215194 | − | 0.0631866i | ||||
\(631\) | −19.9481 | + | 23.0213i | −0.794120 | + | 0.916463i | −0.998043 | − | 0.0625237i | \(-0.980085\pi\) |
0.203924 | + | 0.978987i | \(0.434631\pi\) | |||||||
\(632\) | −5.35190 | − | 3.43946i | −0.212887 | − | 0.136814i | ||||
\(633\) | −35.1125 | − | 22.5654i | −1.39560 | − | 0.896895i | ||||
\(634\) | −20.6257 | + | 23.8034i | −0.819152 | + | 0.945352i | ||||
\(635\) | 0.505345 | + | 0.148383i | 0.0200540 | + | 0.00588839i | ||||
\(636\) | −4.03380 | − | 28.0557i | −0.159951 | − | 1.11248i | ||||
\(637\) | −3.16858 | − | 3.65674i | −0.125544 | − | 0.144885i | ||||
\(638\) | −1.31920 | − | 2.88864i | −0.0522276 | − | 0.114362i | ||||
\(639\) | −27.2878 | + | 8.01243i | −1.07949 | + | 0.316967i | ||||
\(640\) | −0.851196 | + | 1.86386i | −0.0336465 | + | 0.0736755i | ||||
\(641\) | −0.363901 | + | 2.53099i | −0.0143732 | + | 0.0999680i | −0.995745 | − | 0.0921493i | \(-0.970626\pi\) |
0.981372 | + | 0.192117i | \(0.0615354\pi\) | |||||||
\(642\) | −5.69308 | + | 3.65872i | −0.224688 | + | 0.144398i | ||||
\(643\) | 27.5611 | 1.08690 | 0.543452 | − | 0.839440i | \(-0.317117\pi\) | ||||
0.543452 | + | 0.839440i | \(0.317117\pi\) | |||||||
\(644\) | −4.63173 | − | 1.24382i | −0.182516 | − | 0.0490132i | ||||
\(645\) | −38.5271 | −1.51700 | ||||||||
\(646\) | −10.6454 | + | 6.84135i | −0.418836 | + | 0.269169i | ||||
\(647\) | 0.825315 | − | 5.74019i | 0.0324465 | − | 0.225670i | −0.967146 | − | 0.254222i | \(-0.918181\pi\) |
0.999592 | + | 0.0285521i | \(0.00908964\pi\) | |||||||
\(648\) | −4.02711 | + | 8.81813i | −0.158200 | + | 0.346409i | ||||
\(649\) | −6.22994 | + | 1.82927i | −0.244546 | + | 0.0718053i | ||||
\(650\) | −1.61101 | − | 3.52761i | −0.0631889 | − | 0.138364i | ||||
\(651\) | 2.32038 | + | 2.67786i | 0.0909427 | + | 0.104953i | ||||
\(652\) | −0.472320 | − | 3.28506i | −0.0184975 | − | 0.128653i | ||||
\(653\) | 9.81690 | + | 2.88250i | 0.384165 | + | 0.112801i | 0.468112 | − | 0.883669i | \(-0.344934\pi\) |
−0.0839469 | + | 0.996470i | \(0.526753\pi\) | |||||||
\(654\) | −13.6944 | + | 15.8042i | −0.535495 | + | 0.617994i | ||||
\(655\) | 2.66145 | + | 1.71041i | 0.103992 | + | 0.0668313i | ||||
\(656\) | 3.67840 | + | 2.36396i | 0.143617 | + | 0.0922972i | ||||
\(657\) | 19.2748 | − | 22.2443i | 0.751982 | − | 0.867833i | ||||
\(658\) | 6.40701 | + | 1.88127i | 0.249771 | + | 0.0733395i | ||||
\(659\) | −4.38260 | − | 30.4817i | −0.170722 | − | 1.18740i | −0.877364 | − | 0.479826i | \(-0.840700\pi\) |
0.706642 | − | 0.707571i | \(-0.250209\pi\) | |||||||
\(660\) | −2.72370 | − | 3.14332i | −0.106020 | − | 0.122354i | ||||
\(661\) | 10.6879 | + | 23.4032i | 0.415711 | + | 0.910279i | 0.995433 | + | 0.0954651i | \(0.0304338\pi\) |
−0.579722 | + | 0.814814i | \(0.696839\pi\) | |||||||
\(662\) | −28.5695 | + | 8.38876i | −1.11039 | + | 0.326039i | ||||
\(663\) | −21.3063 | + | 46.6544i | −0.827469 | + | 1.81191i | ||||
\(664\) | −1.43770 | + | 9.99940i | −0.0557935 | + | 0.388052i | ||||
\(665\) | −4.93321 | + | 3.17038i | −0.191302 | + | 0.122942i | ||||
\(666\) | 1.44329 | 0.0559265 | ||||||||
\(667\) | −2.14530 | + | 17.8587i | −0.0830662 | + | 0.691493i | ||||
\(668\) | 13.2867 | 0.514079 | ||||||||
\(669\) | −59.3965 | + | 38.1718i | −2.29640 | + | 1.47581i | ||||
\(670\) | 3.24417 | − | 22.5637i | 0.125333 | − | 0.871712i | ||||
\(671\) | 0.877851 | − | 1.92223i | 0.0338891 | − | 0.0742067i | ||||
\(672\) | −2.30025 | + | 0.675414i | −0.0887340 | + | 0.0260547i | ||||
\(673\) | 2.97302 | + | 6.51001i | 0.114601 | + | 0.250942i | 0.958238 | − | 0.285973i | \(-0.0923168\pi\) |
−0.843636 | + | 0.536915i | \(0.819589\pi\) | |||||||
\(674\) | 1.65024 | + | 1.90447i | 0.0635647 | + | 0.0733576i | ||||
\(675\) | 0.0690940 | + | 0.480559i | 0.00265943 | + | 0.0184967i | ||||
\(676\) | −9.98988 | − | 2.93329i | −0.384226 | − | 0.112819i | ||||
\(677\) | 33.4584 | − | 38.6131i | 1.28591 | − | 1.48402i | 0.499508 | − | 0.866310i | \(-0.333514\pi\) |
0.786404 | − | 0.617712i | \(-0.211940\pi\) | |||||||
\(678\) | 29.6610 | + | 19.0620i | 1.13912 | + | 0.732071i | ||||
\(679\) | −7.93519 | − | 5.09964i | −0.304525 | − | 0.195706i | ||||
\(680\) | 5.93300 | − | 6.84704i | 0.227520 | − | 0.262572i | ||||
\(681\) | 50.5464 | + | 14.8418i | 1.93694 | + | 0.568738i | ||||
\(682\) | 0.178097 | + | 1.23869i | 0.00681969 | + | 0.0474320i | ||||
\(683\) | 19.4824 | + | 22.4839i | 0.745473 | + | 0.860322i | 0.994121 | − | 0.108272i | \(-0.0345317\pi\) |
−0.248648 | + | 0.968594i | \(0.579986\pi\) | |||||||
\(684\) | −3.26624 | − | 7.15207i | −0.124888 | − | 0.273466i | ||||
\(685\) | −24.2943 | + | 7.13346i | −0.928239 | + | 0.272555i | ||||
\(686\) | −0.415415 | + | 0.909632i | −0.0158606 | + | 0.0347299i | ||||
\(687\) | −3.07563 | + | 21.3915i | −0.117343 | + | 0.816136i | ||||
\(688\) | −6.59801 | + | 4.24029i | −0.251547 | + | 0.161659i | ||||
\(689\) | −57.2067 | −2.17940 | ||||||||
\(690\) | 3.89382 | + | 23.2343i | 0.148235 | + | 0.884515i | ||||
\(691\) | −38.0862 | −1.44887 | −0.724433 | − | 0.689345i | \(-0.757899\pi\) | ||||
−0.724433 | + | 0.689345i | \(0.757899\pi\) | |||||||
\(692\) | 3.12074 | − | 2.00558i | 0.118633 | − | 0.0762406i | ||||
\(693\) | 0.331048 | − | 2.30249i | 0.0125755 | − | 0.0874643i | ||||
\(694\) | −14.6693 | + | 32.1212i | −0.556837 | + | 1.21930i | ||||
\(695\) | 23.5327 | − | 6.90984i | 0.892648 | − | 0.262105i | ||||
\(696\) | 3.73519 | + | 8.17893i | 0.141582 | + | 0.310022i | ||||
\(697\) | −12.6607 | − | 14.6112i | −0.479559 | − | 0.553440i | ||||
\(698\) | −3.82575 | − | 26.6087i | −0.144807 | − | 1.00715i | ||||
\(699\) | 11.3696 | + | 3.33842i | 0.430038 | + | 0.126271i | ||||
\(700\) | −0.524866 | + | 0.605728i | −0.0198381 | + | 0.0228943i | ||||
\(701\) | 43.4869 | + | 27.9474i | 1.64248 | + | 1.05556i | 0.938467 | + | 0.345370i | \(0.112246\pi\) |
0.704012 | + | 0.710188i | \(0.251390\pi\) | |||||||
\(702\) | 2.46566 | + | 1.58458i | 0.0930603 | + | 0.0598062i | ||||
\(703\) | 0.984574 | − | 1.13626i | 0.0371339 | − | 0.0428548i | ||||
\(704\) | −0.812404 | − | 0.238543i | −0.0306186 | − | 0.00899044i | ||||
\(705\) | −4.66815 | − | 32.4677i | −0.175813 | − | 1.22280i | ||||
\(706\) | −7.76610 | − | 8.96255i | −0.292281 | − | 0.337310i | ||||
\(707\) | 6.43315 | + | 14.0866i | 0.241944 | + | 0.529783i | ||||
\(708\) | 17.6395 | − | 5.17943i | 0.662933 | − | 0.194655i | ||||
\(709\) | 10.6042 | − | 23.2199i | 0.398248 | − | 0.872041i | −0.599197 | − | 0.800602i | \(-0.704513\pi\) |
0.997445 | − | 0.0714395i | \(-0.0227593\pi\) | |||||||
\(710\) | 3.01866 | − | 20.9953i | 0.113288 | − | 0.787938i | ||||
\(711\) | −14.7034 | + | 9.44931i | −0.551421 | + | 0.354377i | ||||
\(712\) | −11.2175 | −0.420395 | ||||||||
\(713\) | 2.79391 | − | 6.51442i | 0.104633 | − | 0.243967i | ||||
\(714\) | 10.6001 | 0.396699 | ||||||||
\(715\) | −7.06188 | + | 4.53839i | −0.264099 | + | 0.169726i | ||||
\(716\) | −2.45870 | + | 17.1006i | −0.0918858 | + | 0.639080i | ||||
\(717\) | 21.5826 | − | 47.2593i | 0.806017 | − | 1.76493i | ||||
\(718\) | 12.2600 | − | 3.59986i | 0.457539 | − | 0.134346i | ||||
\(719\) | 3.02078 | + | 6.61458i | 0.112656 | + | 0.246682i | 0.957559 | − | 0.288237i | \(-0.0930692\pi\) |
−0.844903 | + | 0.534920i | \(0.820342\pi\) | |||||||
\(720\) | 3.68644 | + | 4.25438i | 0.137385 | + | 0.158551i | ||||
\(721\) | −1.79142 | − | 12.4596i | −0.0667161 | − | 0.464021i | ||||
\(722\) | 10.3716 | + | 3.04539i | 0.385992 | + | 0.113338i | ||||
\(723\) | 39.2962 | − | 45.3502i | 1.46144 | − | 1.68659i | ||||
\(724\) | −3.59690 | − | 2.31159i | −0.133678 | − | 0.0859095i | ||||
\(725\) | 2.52886 | + | 1.62520i | 0.0939194 | + | 0.0603583i | ||||
\(726\) | −16.1438 | + | 18.6309i | −0.599153 | + | 0.691459i | ||||
\(727\) | −14.0831 | − | 4.13517i | −0.522313 | − | 0.153365i | 0.00993930 | − | 0.999951i | \(-0.496836\pi\) |
−0.532253 | + | 0.846586i | \(0.678654\pi\) | |||||||
\(728\) | 0.688598 | + | 4.78931i | 0.0255212 | + | 0.177504i | ||||
\(729\) | 14.5880 | + | 16.8355i | 0.540297 | + | 0.623535i | ||||
\(730\) | 9.11927 | + | 19.9684i | 0.337519 | + | 0.739065i | ||||
\(731\) | 33.2741 | − | 9.77015i | 1.23069 | − | 0.361362i | ||||
\(732\) | −2.48556 | + | 5.44261i | −0.0918688 | + | 0.201165i | ||||
\(733\) | −2.33442 | + | 16.2363i | −0.0862238 | + | 0.599700i | 0.900200 | + | 0.435478i | \(0.143421\pi\) |
−0.986423 | + | 0.164222i | \(0.947489\pi\) | |||||||
\(734\) | 6.43477 | − | 4.13537i | 0.237512 | − | 0.152639i | ||||
\(735\) | 4.91225 | 0.181191 | ||||||||
\(736\) | 3.22400 | + | 3.55047i | 0.118838 | + | 0.130872i | ||||
\(737\) | 9.41968 | 0.346978 | ||||||||
\(738\) | 10.1058 | − | 6.49458i | 0.371998 | − | 0.239069i | ||||
\(739\) | −4.67618 | + | 32.5236i | −0.172016 | + | 1.19640i | 0.702601 | + | 0.711584i | \(0.252022\pi\) |
−0.874617 | + | 0.484814i | \(0.838887\pi\) | |||||||
\(740\) | −0.447171 | + | 0.979168i | −0.0164383 | + | 0.0359949i | ||||
\(741\) | −31.8527 | + | 9.35279i | −1.17014 | + | 0.343583i | ||||
\(742\) | 4.91149 | + | 10.7547i | 0.180307 | + | 0.394816i | ||||
\(743\) | −2.85745 | − | 3.29767i | −0.104829 | − | 0.120980i | 0.700910 | − | 0.713250i | \(-0.252777\pi\) |
−0.805740 | + | 0.592270i | \(0.798232\pi\) | |||||||
\(744\) | −0.504266 | − | 3.50725i | −0.0184873 | − | 0.128582i | ||||
\(745\) | 38.7430 | + | 11.3760i | 1.41943 | + | 0.416783i | ||||
\(746\) | 5.69049 | − | 6.56717i | 0.208344 | − | 0.240441i | ||||
\(747\) | 23.3483 | + | 15.0050i | 0.854268 | + | 0.549005i | ||||
\(748\) | 3.14945 | + | 2.02403i | 0.115155 | + | 0.0740058i | ||||
\(749\) | 1.84857 | − | 2.13337i | 0.0675453 | − | 0.0779515i | ||||
\(750\) | 27.3440 | + | 8.02892i | 0.998462 | + | 0.293175i | ||||
\(751\) | 7.47383 | + | 51.9816i | 0.272724 | + | 1.89684i | 0.419645 | + | 0.907688i | \(0.362155\pi\) |
−0.146921 | + | 0.989148i | \(0.546936\pi\) | |||||||
\(752\) | −4.37283 | − | 5.04652i | −0.159461 | − | 0.184028i | ||||
\(753\) | −11.2773 | − | 24.6939i | −0.410968 | − | 0.899895i | ||||
\(754\) | 17.4123 | − | 5.11270i | 0.634118 | − | 0.186194i | ||||
\(755\) | −3.63679 | + | 7.96347i | −0.132356 | + | 0.289820i | ||||
\(756\) | 0.0862066 | − | 0.599580i | 0.00313530 | − | 0.0218065i | ||||
\(757\) | −26.3365 | + | 16.9254i | −0.957215 | + | 0.615165i | −0.923226 | − | 0.384258i | \(-0.874457\pi\) |
−0.0339889 | + | 0.999422i | \(0.510821\pi\) | |||||||
\(758\) | −5.56787 | −0.202234 | ||||||||
\(759\) | −9.27420 | + | 2.95898i | −0.336632 | + | 0.107404i | ||||
\(760\) | 5.86412 | 0.212714 | ||||||||
\(761\) | −31.6265 | + | 20.3251i | −1.14646 | + | 0.736784i | −0.968931 | − | 0.247332i | \(-0.920446\pi\) |
−0.177527 | + | 0.984116i | \(0.556810\pi\) | |||||||
\(762\) | 0.0876964 | − | 0.609942i | 0.00317691 | − | 0.0220959i | ||||
\(763\) | 3.62364 | − | 7.93466i | 0.131184 | − | 0.287254i | ||||
\(764\) | −7.76793 | + | 2.28087i | −0.281034 | + | 0.0825190i | ||||
\(765\) | −10.3399 | − | 22.6413i | −0.373841 | − | 0.818598i | ||||
\(766\) | −10.9599 | − | 12.6484i | −0.395997 | − | 0.457005i | ||||
\(767\) | −5.28053 | − | 36.7269i | −0.190669 | − | 1.32613i | ||||
\(768\) | 2.30025 | + | 0.675414i | 0.0830031 | + | 0.0243719i | ||||
\(769\) | 15.0375 | − | 17.3542i | 0.542266 | − | 0.625808i | −0.416797 | − | 0.908999i | \(-0.636848\pi\) |
0.959064 | + | 0.283191i | \(0.0913930\pi\) | |||||||
\(770\) | 1.45950 | + | 0.937965i | 0.0525968 | + | 0.0338019i | ||||
\(771\) | 17.6205 | + | 11.3240i | 0.634588 | + | 0.407825i | ||||
\(772\) | −14.4762 | + | 16.7064i | −0.521008 | + | 0.601275i | ||||
\(773\) | −12.3573 | − | 3.62843i | −0.444461 | − | 0.130506i | 0.0518410 | − | 0.998655i | \(-0.483491\pi\) |
−0.496302 | + | 0.868150i | \(0.665309\pi\) | |||||||
\(774\) | 3.06653 | + | 21.3282i | 0.110224 | + | 0.766625i | ||||
\(775\) | −0.775755 | − | 0.895270i | −0.0278660 | − | 0.0321590i | ||||
\(776\) | 3.91843 | + | 8.58018i | 0.140664 | + | 0.308010i | ||||
\(777\) | −1.20842 | + | 0.354825i | −0.0433519 | + | 0.0127293i | ||||
\(778\) | 8.35272 | − | 18.2899i | 0.299460 | − | 0.655725i | ||||
\(779\) | 1.78089 | − | 12.3864i | 0.0638070 | − | 0.443787i | ||||
\(780\) | 19.9951 | − | 12.8501i | 0.715939 | − | 0.460106i | ||||
\(781\) | 8.76490 | 0.313633 | ||||||||
\(782\) | −9.25492 | − | 19.0789i | −0.330955 | − | 0.682261i | ||||
\(783\) | −2.27190 | −0.0811909 | ||||||||
\(784\) | 0.841254 | − | 0.540641i | 0.0300448 | − | 0.0193086i | ||||
\(785\) | 5.66113 | − | 39.3740i | 0.202054 | − | 1.40532i | ||||
\(786\) | 1.53766 | − | 3.36700i | 0.0548464 | − | 0.120097i | ||||
\(787\) | −16.9510 | + | 4.97726i | −0.604238 | + | 0.177420i | −0.569521 | − | 0.821977i | \(-0.692871\pi\) |
−0.0347169 | + | 0.999397i | \(0.511053\pi\) | |||||||
\(788\) | 2.94463 | + | 6.44785i | 0.104898 | + | 0.229695i | ||||
\(789\) | 5.67023 | + | 6.54379i | 0.201865 | + | 0.232965i | ||||
\(790\) | −1.85515 | − | 12.9028i | −0.0660032 | − | 0.459062i | ||||
\(791\) | −14.1113 | − | 4.14346i | −0.501741 | − | 0.147324i | ||||
\(792\) | −1.52331 | + | 1.75800i | −0.0541286 | + | 0.0624678i | ||||
\(793\) | 10.1590 | + | 6.52880i | 0.360757 | + | 0.231844i | ||||
\(794\) | 23.3619 | + | 15.0138i | 0.829082 | + | 0.532818i | ||||
\(795\) | 38.0330 | − | 43.8924i | 1.34889 | − | 1.55670i | ||||
\(796\) | −0.225667 | − | 0.0662619i | −0.00799857 | − | 0.00234859i | ||||
\(797\) | −3.73214 | − | 25.9576i | −0.132199 | − | 0.919466i | −0.942679 | − | 0.333700i | \(-0.891703\pi\) |
0.810480 | − | 0.585766i | \(-0.199206\pi\) | |||||||
\(798\) | 4.49301 | + | 5.18521i | 0.159051 | + | 0.183554i | ||||
\(799\) | 12.2652 | + | 26.8570i | 0.433911 | + | 0.950132i | ||||
\(800\) | 0.769026 | − | 0.225806i | 0.0271892 | − | 0.00798347i | ||||
\(801\) | −12.8024 | + | 28.0333i | −0.452350 | + | 0.990508i | ||||
\(802\) | 0.378359 | − | 2.63155i | 0.0133603 | − | 0.0929232i | ||||
\(803\) | −7.63111 | + | 4.90422i | −0.269296 | + | 0.173066i | ||||
\(804\) | −26.6710 | −0.940613 | ||||||||
\(805\) | −4.28887 | − | 8.84145i | −0.151163 | − | 0.311620i | ||||
\(806\) | −7.15142 | −0.251898 | ||||||||
\(807\) | 30.7489 | − | 19.7611i | 1.08241 | − | 0.695624i | ||||
\(808\) | 2.20390 | − | 15.3285i | 0.0775329 | − | 0.539253i | ||||
\(809\) | −11.7142 | + | 25.6505i | −0.411849 | + | 0.901823i | 0.584081 | + | 0.811695i | \(0.301455\pi\) |
−0.995930 | + | 0.0901279i | \(0.971272\pi\) | |||||||
\(810\) | −19.0590 | + | 5.59623i | −0.669665 | + | 0.196631i | ||||
\(811\) | 16.1325 | + | 35.3253i | 0.566490 | + | 1.24044i | 0.948645 | + | 0.316342i | \(0.102455\pi\) |
−0.382155 | + | 0.924098i | \(0.624818\pi\) | |||||||
\(812\) | −2.45610 | − | 2.83450i | −0.0861924 | − | 0.0994713i | ||||
\(813\) | 8.45439 | + | 58.8016i | 0.296508 | + | 2.06226i | ||||
\(814\) | −0.426792 | − | 0.125317i | −0.0149590 | − | 0.00439237i | ||||
\(815\) | 4.45331 | − | 5.13939i | 0.155993 | − | 0.180025i | ||||
\(816\) | −8.91739 | − | 5.73086i | −0.312171 | − | 0.200620i | ||||
\(817\) | 18.8829 | + | 12.1353i | 0.660629 | + | 0.424560i | ||||
\(818\) | −5.11388 | + | 5.90173i | −0.178803 | + | 0.206349i | ||||
\(819\) | 12.7546 | + | 3.74510i | 0.445683 | + | 0.130864i | ||||
\(820\) | 1.27506 | + | 8.86821i | 0.0445269 | + | 0.309691i | ||||
\(821\) | −18.0697 | − | 20.8536i | −0.630639 | − | 0.727796i | 0.347052 | − | 0.937846i | \(-0.387183\pi\) |
−0.977691 | + | 0.210050i | \(0.932637\pi\) | |||||||
\(822\) | 12.3064 | + | 26.9472i | 0.429235 | + | 0.939893i | ||||
\(823\) | 13.6562 | − | 4.00983i | 0.476026 | − | 0.139774i | −0.0349138 | − | 0.999390i | \(-0.511116\pi\) |
0.510940 | + | 0.859616i | \(0.329297\pi\) | |||||||
\(824\) | −5.22914 | + | 11.4502i | −0.182166 | + | 0.398888i | ||||
\(825\) | −0.231533 | + | 1.61035i | −0.00806094 | + | 0.0560651i | ||||
\(826\) | −6.45117 | + | 4.14592i | −0.224465 | + | 0.144255i | ||||
\(827\) | 24.4713 | 0.850952 | 0.425476 | − | 0.904970i | \(-0.360107\pi\) | ||||
0.425476 | + | 0.904970i | \(0.360107\pi\) | |||||||
\(828\) | 12.5523 | − | 4.00488i | 0.436223 | − | 0.139179i | ||||
\(829\) | −0.351641 | −0.0122130 | −0.00610649 | − | 0.999981i | \(-0.501944\pi\) | ||||
−0.00610649 | + | 0.999981i | \(0.501944\pi\) | |||||||
\(830\) | −17.4137 | + | 11.1911i | −0.604439 | + | 0.388449i | ||||
\(831\) | 8.07058 | − | 56.1321i | 0.279965 | − | 1.94720i | ||||
\(832\) | 2.01001 | − | 4.40131i | 0.0696845 | − | 0.152588i | ||||
\(833\) | −4.24248 | + | 1.24570i | −0.146993 | + | 0.0431611i | ||||
\(834\) | −11.9206 | − | 26.1025i | −0.412777 | − | 0.903856i | ||||
\(835\) | 17.8285 | + | 20.5752i | 0.616980 | + | 0.712033i | ||||
\(836\) | 0.344854 | + | 2.39851i | 0.0119270 | + | 0.0829543i | ||||
\(837\) | 0.859031 | + | 0.252234i | 0.0296925 | + | 0.00871849i | ||||
\(838\) | −2.86628 | + | 3.30786i | −0.0990139 | + | 0.114268i | ||||
\(839\) | 5.80925 | + | 3.73338i | 0.200558 | + | 0.128891i | 0.637065 | − | 0.770810i | \(-0.280148\pi\) |
−0.436507 | + | 0.899701i | \(0.643785\pi\) | |||||||
\(840\) | −4.13245 | − | 2.65576i | −0.142583 | − | 0.0916325i | ||||
\(841\) | 9.77916 | − | 11.2857i | 0.337212 | − | 0.389164i | ||||
\(842\) | 14.8390 | + | 4.35712i | 0.511385 | + | 0.150156i | ||||
\(843\) | −8.63948 | − | 60.0889i | −0.297560 | − | 2.06957i | ||||
\(844\) | −11.4012 | − | 13.1577i | −0.392446 | − | 0.452906i | ||||
\(845\) | −8.86233 | − | 19.4058i | −0.304874 | − | 0.667580i | ||||
\(846\) | −17.6022 | + | 5.16846i | −0.605175 | + | 0.177695i | ||||
\(847\) | 4.27175 | − | 9.35383i | 0.146779 | − | 0.321402i | ||||
\(848\) | 1.68260 | − | 11.7028i | 0.0577808 | − | 0.401874i | ||||
\(849\) | 43.1957 | − | 27.7602i | 1.48247 | − | 0.952727i | ||||
\(850\) | −3.54386 | −0.121554 | ||||||||
\(851\) | 1.69371 | + | 1.86522i | 0.0580596 | + | 0.0639388i | ||||
\(852\) | −24.8170 | −0.850217 | ||||||||
\(853\) | 17.9368 | − | 11.5273i | 0.614146 | − | 0.394688i | −0.196264 | − | 0.980551i | \(-0.562881\pi\) |
0.810410 | + | 0.585864i | \(0.199245\pi\) | |||||||
\(854\) | 0.355188 | − | 2.47039i | 0.0121543 | − | 0.0845350i | ||||
\(855\) | 6.69261 | − | 14.6548i | 0.228882 | − | 0.501183i | ||||
\(856\) | −2.70850 | + | 0.795288i | −0.0925747 | + | 0.0271824i | ||||
\(857\) | −4.84244 | − | 10.6035i | −0.165415 | − | 0.362208i | 0.808714 | − | 0.588202i | \(-0.200164\pi\) |
−0.974129 | + | 0.225995i | \(0.927437\pi\) | |||||||
\(858\) | 6.43173 | + | 7.42261i | 0.219576 | + | 0.253404i | ||||
\(859\) | −3.90733 | − | 27.1761i | −0.133317 | − | 0.927237i | −0.941189 | − | 0.337880i | \(-0.890290\pi\) |
0.807873 | − | 0.589357i | \(-0.200619\pi\) | |||||||
\(860\) | −15.4197 | − | 4.52763i | −0.525807 | − | 0.154391i | ||||
\(861\) | −6.86457 | + | 7.92214i | −0.233944 | + | 0.269986i | ||||
\(862\) | −30.1466 | − | 19.3740i | −1.02680 | − | 0.659882i | ||||
\(863\) | −37.9708 | − | 24.4024i | −1.29254 | − | 0.830666i | −0.300163 | − | 0.953888i | \(-0.597041\pi\) |
−0.992379 | + | 0.123222i | \(0.960677\pi\) | |||||||
\(864\) | −0.396679 | + | 0.457792i | −0.0134953 | + | 0.0155744i | ||||
\(865\) | 7.29322 | + | 2.14148i | 0.247977 | + | 0.0728126i | ||||
\(866\) | −4.72723 | − | 32.8786i | −0.160638 | − | 1.11726i | ||||
\(867\) | 4.00395 | + | 4.62080i | 0.135981 | + | 0.156931i | ||||
\(868\) | 0.613986 | + | 1.34444i | 0.0208401 | + | 0.0456334i | ||||
\(869\) | 5.16836 | − | 1.51757i | 0.175325 | − | 0.0514799i | ||||
\(870\) | −7.65351 | + | 16.7588i | −0.259478 | + | 0.568178i | ||||
\(871\) | −7.66076 | + | 53.2818i | −0.259575 | + | 1.80538i | ||||
\(872\) | −7.33819 | + | 4.71597i | −0.248503 | + | 0.159703i | ||||
\(873\) | 25.9144 | 0.877069 | ||||||||
\(874\) | 5.40992 | − | 12.6141i | 0.182993 | − | 0.426677i | ||||
\(875\) | −11.8874 | −0.401868 | ||||||||
\(876\) | 21.6068 | − | 13.8858i | 0.730026 | − | 0.469159i | ||||
\(877\) | 3.21500 | − | 22.3608i | 0.108563 | − | 0.755072i | −0.860712 | − | 0.509092i | \(-0.829981\pi\) |
0.969275 | − | 0.245980i | \(-0.0791097\pi\) | |||||||
\(878\) | −2.10020 | + | 4.59879i | −0.0708782 | + | 0.155202i | ||||
\(879\) | 27.3901 | − | 8.04246i | 0.923845 | − | 0.271265i | ||||
\(880\) | −0.720709 | − | 1.57813i | −0.0242951 | − | 0.0531988i | ||||
\(881\) | −31.5449 | − | 36.4047i | −1.06277 | − | 1.22651i | −0.973063 | − | 0.230538i | \(-0.925951\pi\) |
−0.0897101 | − | 0.995968i | \(-0.528594\pi\) | |||||||
\(882\) | −0.390986 | − | 2.71936i | −0.0131652 | − | 0.0915657i | ||||
\(883\) | −18.7429 | − | 5.50341i | −0.630748 | − | 0.185204i | −0.0492952 | − | 0.998784i | \(-0.515697\pi\) |
−0.581453 | + | 0.813580i | \(0.697516\pi\) | |||||||
\(884\) | −14.0101 | + | 16.1686i | −0.471212 | + | 0.543808i | ||||
\(885\) | 31.6898 | + | 20.3658i | 1.06524 | + | 0.684588i | ||||
\(886\) | −1.71417 | − | 1.10163i | −0.0575888 | − | 0.0370101i | ||||
\(887\) | 19.8185 | − | 22.8717i | 0.665439 | − | 0.767958i | −0.318216 | − | 0.948018i | \(-0.603084\pi\) |
0.983656 | + | 0.180060i | \(0.0576292\pi\) | |||||||
\(888\) | 1.20842 | + | 0.354825i | 0.0405520 | + | 0.0119071i | ||||
\(889\) | 0.0365804 | + | 0.254423i | 0.00122687 | + | 0.00853306i | ||||
\(890\) | −15.0520 | − | 17.3709i | −0.504544 | − | 0.582275i | ||||
\(891\) | −3.40975 | − | 7.46632i | −0.114231 | − | 0.250131i | ||||
\(892\) | −28.2581 | + | 8.29733i | −0.946151 | + | 0.277815i | ||||
\(893\) | −7.93874 | + | 17.3834i | −0.265660 | + | 0.581714i | ||||
\(894\) | 6.72337 | − | 46.7621i | 0.224863 | − | 1.56396i | ||||
\(895\) | −29.7803 | + | 19.1386i | −0.995446 | + | 0.639734i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −9.19484 | − | 54.8653i | −0.307007 | − | 1.83190i | ||||
\(898\) | 29.0589 | 0.969707 | ||||||||
\(899\) | 4.66338 | − | 2.99698i | 0.155533 | − | 0.0999547i | ||||
\(900\) | 0.313372 | − | 2.17955i | 0.0104457 | − | 0.0726516i | ||||
\(901\) | −21.7166 | + | 47.5526i | −0.723484 | + | 1.58421i | ||||
\(902\) | −3.55225 | + | 1.04303i | −0.118277 | + | 0.0347292i | ||||
\(903\) | −7.81091 | − | 17.1035i | −0.259931 | − | 0.569169i | ||||
\(904\) | 9.63108 | + | 11.1149i | 0.320325 | + | 0.369675i | ||||
\(905\) | −1.24681 | − | 8.67174i | −0.0414453 | − | 0.288258i | ||||
\(906\) | 9.82797 | + | 2.88575i | 0.326512 | + | 0.0958727i | ||||
\(907\) | 2.24203 | − | 2.58744i | 0.0744454 | − | 0.0859146i | −0.717305 | − | 0.696759i | \(-0.754625\pi\) |
0.791750 | + | 0.610845i | \(0.209170\pi\) | |||||||
\(908\) | 18.4860 | + | 11.8802i | 0.613479 | + | 0.394259i | ||||
\(909\) | −35.7914 | − | 23.0018i | −1.18713 | − | 0.762920i | ||||
\(910\) | −6.49250 | + | 7.49275i | −0.215224 | + | 0.248382i | ||||
\(911\) | 1.60622 | + | 0.471628i | 0.0532163 | + | 0.0156257i | 0.308232 | − | 0.951311i | \(-0.400263\pi\) |
−0.255016 | + | 0.966937i | \(0.582081\pi\) | |||||||
\(912\) | −0.976424 | − | 6.79118i | −0.0323326 | − | 0.224878i | ||||
\(913\) | −5.60140 | − | 6.46436i | −0.185379 | − | 0.213939i | ||||
\(914\) | −0.0447670 | − | 0.0980261i | −0.00148076 | − | 0.00324242i | ||||
\(915\) | −11.7633 | + | 3.45403i | −0.388884 | + | 0.114187i | ||||
\(916\) | −3.74484 | + | 8.20005i | −0.123733 | + | 0.270937i | ||||
\(917\) | −0.219733 | + | 1.52827i | −0.00725621 | + | 0.0504681i | ||||
\(918\) | 2.25318 | − | 1.44803i | 0.0743659 | − | 0.0477921i | ||||
\(919\) | −6.89729 | −0.227520 | −0.113760 | − | 0.993508i | \(-0.536290\pi\) | ||||
−0.113760 | + | 0.993508i | \(0.536290\pi\) | |||||||
\(920\) | −1.17203 | + | 9.75664i | −0.0386405 | + | 0.321667i | ||||
\(921\) | 73.3744 | 2.41777 | ||||||||
\(922\) | −18.4833 | + | 11.8785i | −0.608714 | + | 0.391197i | ||||
\(923\) | −7.12825 | + | 49.5780i | −0.234629 | + | 1.63188i | ||||
\(924\) | 0.843229 | − | 1.84641i | 0.0277402 | − | 0.0607425i | ||||
\(925\) | 0.404003 | − | 0.118626i | 0.0132836 | − | 0.00390040i | ||||
\(926\) | −6.11255 | − | 13.3846i | −0.200871 | − | 0.439846i | ||||
\(927\) | 22.6468 | + | 26.1359i | 0.743820 | + | 0.858414i | ||||
\(928\) | 0.533762 | + | 3.71240i | 0.0175216 | + | 0.121865i | ||||
\(929\) | 4.52308 | + | 1.32810i | 0.148397 | + | 0.0435734i | 0.355088 | − | 0.934833i | \(-0.384451\pi\) |
−0.206690 | + | 0.978406i | \(0.566269\pi\) | |||||||
\(930\) | 4.75451 | − | 5.48700i | 0.155907 | − | 0.179926i | ||||
\(931\) | −2.40759 | − | 1.54726i | −0.0789055 | − | 0.0507095i | ||||
\(932\) | 4.15813 | + | 2.67227i | 0.136204 | + | 0.0875330i | ||||
\(933\) | 23.3575 | − | 26.9560i | 0.764690 | − | 0.882499i | ||||
\(934\) | 15.8797 | + | 4.66269i | 0.519599 | + | 0.152568i | ||||
\(935\) | 1.09171 | + | 7.59298i | 0.0357026 | + | 0.248317i | ||||
\(936\) | −8.70513 | − | 10.0463i | −0.284536 | − | 0.328372i | ||||
\(937\) | −12.0745 | − | 26.4395i | −0.394457 | − | 0.863741i | −0.997802 | − | 0.0662608i | \(-0.978893\pi\) |
0.603345 | − | 0.797480i | \(-0.293834\pi\) | |||||||
\(938\) | 10.6745 | − | 3.13432i | 0.348535 | − | 0.102339i | ||||
\(939\) | −7.38752 | + | 16.1764i | −0.241083 | + | 0.527897i | ||||
\(940\) | 1.94720 | − | 13.5431i | 0.0635108 | − | 0.441727i | ||||
\(941\) | −23.0601 | + | 14.8198i | −0.751738 | + | 0.483113i | −0.859546 | − | 0.511059i | \(-0.829253\pi\) |
0.107808 | + | 0.994172i | \(0.465617\pi\) | |||||||
\(942\) | −46.5413 | −1.51640 | ||||||||
\(943\) | 20.2523 | + | 5.43860i | 0.659506 | + | 0.177105i | ||||
\(944\) | 7.66852 | 0.249589 | ||||||||
\(945\) | 1.04415 | − | 0.671038i | 0.0339664 | − | 0.0218289i | ||||
\(946\) | 0.945076 | − | 6.57315i | 0.0307271 | − | 0.213711i | ||||
\(947\) | −20.8688 | + | 45.6963i | −0.678144 | + | 1.48493i | 0.186453 | + | 0.982464i | \(0.440301\pi\) |
−0.864597 | + | 0.502465i | \(0.832426\pi\) | |||||||
\(948\) | −14.6337 | + | 4.29686i | −0.475282 | + | 0.139555i | ||||
\(949\) | −21.5342 | − | 47.1533i | −0.699029 | − | 1.53066i | ||||
\(950\) | −1.50212 | − | 1.73354i | −0.0487351 | − | 0.0562433i | ||||
\(951\) | 10.7459 | + | 74.7395i | 0.348460 | + | 2.42359i | ||||
\(952\) | 4.24248 | + | 1.24570i | 0.137499 | + | 0.0403735i | ||||
\(953\) | −32.5173 | + | 37.5269i | −1.05334 | + | 1.21562i | −0.0775288 | + | 0.996990i | \(0.524703\pi\) |
−0.975809 | + | 0.218626i | \(0.929842\pi\) | |||||||
\(954\) | −27.3255 | − | 17.5611i | −0.884697 | − | 0.568560i | ||||
\(955\) | −13.9553 | − | 8.96850i | −0.451582 | − | 0.290214i | ||||
\(956\) | 14.1918 | − | 16.3782i | 0.458996 | − | 0.529709i | ||||
\(957\) | −7.30471 | − | 2.14486i | −0.236128 | − | 0.0693333i | ||||
\(958\) | −1.55563 | − | 10.8196i | −0.0502601 | − | 0.349566i | ||||
\(959\) | −8.09216 | − | 9.33885i | −0.261310 | − | 0.301567i | ||||
\(960\) | 2.04062 | + | 4.46834i | 0.0658608 | + | 0.144215i | ||||
\(961\) | 27.6483 | − | 8.11826i | 0.891880 | − | 0.261879i | ||||
\(962\) | 1.05595 | − | 2.31220i | 0.0340451 | − | 0.0745483i | ||||
\(963\) | −1.10369 | + | 7.67635i | −0.0355660 | + | 0.247367i | ||||
\(964\) | 21.0569 | − | 13.5325i | 0.678198 | − | 0.435851i | ||||
\(965\) | −45.2951 | −1.45810 | ||||||||
\(966\) | −9.52507 | + | 6.43907i | −0.306464 | + | 0.207174i | ||||
\(967\) | −28.3248 | −0.910865 | −0.455432 | − | 0.890270i | \(-0.650515\pi\) | ||||
−0.455432 | + | 0.890270i | \(0.650515\pi\) | |||||||
\(968\) | −8.65069 | + | 5.55946i | −0.278044 | + | 0.178688i | ||||
\(969\) | −4.31734 | + | 30.0278i | −0.138693 | + | 0.964631i | ||||
\(970\) | −8.02897 | + | 17.5810i | −0.257795 | + | 0.564492i | ||||
\(971\) | 43.7378 | − | 12.8426i | 1.40361 | − | 0.412137i | 0.509689 | − | 0.860359i | \(-0.329761\pi\) |
0.893923 | + | 0.448221i | \(0.147942\pi\) | |||||||
\(972\) | 8.89951 | + | 19.4872i | 0.285452 | + | 0.625052i | ||||
\(973\) | 7.83849 | + | 9.04610i | 0.251290 | + | 0.290005i | ||||
\(974\) | −3.38256 | − | 23.5262i | −0.108384 | − | 0.753828i | ||||
\(975\) | −8.92052 | − | 2.61930i | −0.285685 | − | 0.0838847i | ||||
\(976\) | −1.63440 | + | 1.88619i | −0.0523158 | + | 0.0603756i | ||||
\(977\) | 2.79014 | + | 1.79311i | 0.0892645 | + | 0.0573668i | 0.584512 | − | 0.811385i | \(-0.301286\pi\) |
−0.495247 | + | 0.868752i | \(0.664922\pi\) | |||||||
\(978\) | −6.69339 | − | 4.30158i | −0.214031 | − | 0.137549i | ||||
\(979\) | 6.21981 | − | 7.17804i | 0.198786 | − | 0.229411i | ||||
\(980\) | 1.96603 | + | 0.577277i | 0.0628024 | + | 0.0184404i | ||||
\(981\) | 3.41054 | + | 23.7208i | 0.108890 | + | 0.757347i | ||||
\(982\) | −17.1541 | − | 19.7969i | −0.547411 | − | 0.631746i | ||||
\(983\) | 4.50231 | + | 9.85869i | 0.143602 | + | 0.314444i | 0.967743 | − | 0.251941i | \(-0.0810689\pi\) |
−0.824141 | + | 0.566385i | \(0.808342\pi\) | |||||||
\(984\) | 10.0579 | − | 2.95326i | 0.320633 | − | 0.0941464i | ||||
\(985\) | −6.03363 | + | 13.2118i | −0.192247 | + | 0.420963i | ||||
\(986\) | 2.36007 | − | 16.4147i | 0.0751601 | − | 0.522750i | ||||
\(987\) | 13.4671 | − | 8.65477i | 0.428662 | − | 0.275484i | ||||
\(988\) | −13.8475 | −0.440547 | ||||||||
\(989\) | −23.9645 | + | 28.9917i | −0.762028 | + | 0.921882i | ||||
\(990\) | −4.76637 | −0.151485 | ||||||||
\(991\) | −26.6275 | + | 17.1124i | −0.845849 | + | 0.543594i | −0.890278 | − | 0.455418i | \(-0.849490\pi\) |
0.0444285 | + | 0.999013i | \(0.485853\pi\) | |||||||
\(992\) | 0.210342 | − | 1.46296i | 0.00667838 | − | 0.0464491i | ||||
\(993\) | −29.6535 | + | 64.9321i | −0.941026 | + | 2.06056i | ||||
\(994\) | 9.93250 | − | 2.91645i | 0.315040 | − | 0.0925040i | ||||
\(995\) | −0.200197 | − | 0.438369i | −0.00634666 | − | 0.0138972i | ||||
\(996\) | 15.8599 | + | 18.3032i | 0.502539 | + | 0.579961i | ||||
\(997\) | −0.351200 | − | 2.44265i | −0.0111226 | − | 0.0773595i | 0.983504 | − | 0.180886i | \(-0.0578965\pi\) |
−0.994627 | + | 0.103526i | \(0.966987\pi\) | |||||||
\(998\) | −11.5263 | − | 3.38441i | −0.364857 | − | 0.107132i | ||||
\(999\) | −0.208393 | + | 0.240498i | −0.00659327 | + | 0.00760903i |
(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 | 322.2.i.d.127.4 | yes | 40 | |
23.2 | even | 11 | inner | 322.2.i.d.71.4 | ✓ | 40 | |
23.5 | odd | 22 | 7406.2.a.bv.1.3 | 20 | |||
23.18 | even | 11 | 7406.2.a.bu.1.3 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.d.71.4 | ✓ | 40 | 23.2 | even | 11 | inner | |
322.2.i.d.127.4 | yes | 40 | 1.1 | even | 1 | trivial | |
7406.2.a.bu.1.3 | 20 | 23.18 | even | 11 | |||
7406.2.a.bv.1.3 | 20 | 23.5 | odd | 22 |