Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(61,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([72, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bc (of order \(45\), degree \(24\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(600\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 291.9 | ||
Character | \(\chi\) | \(=\) | 950.291 |
Dual form | 950.2.bc.a.111.9 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.997564 | + | 0.0697565i | −0.705384 | + | 0.0493253i | ||||
\(3\) | −0.0352288 | + | 1.00882i | −0.0203393 | + | 0.582443i | 0.945849 | + | 0.324606i | \(0.105232\pi\) |
−0.966189 | + | 0.257836i | \(0.916990\pi\) | |||||||
\(4\) | 0.990268 | − | 0.139173i | 0.495134 | − | 0.0695866i | ||||
\(5\) | −0.727261 | − | 2.11450i | −0.325241 | − | 0.945631i | ||||
\(6\) | −0.0352288 | − | 1.00882i | −0.0143821 | − | 0.411849i | ||||
\(7\) | −1.27394 | + | 2.20653i | −0.481504 | + | 0.833989i | −0.999775 | − | 0.0212276i | \(-0.993243\pi\) |
0.518271 | + | 0.855216i | \(0.326576\pi\) | |||||||
\(8\) | −0.978148 | + | 0.207912i | −0.345827 | + | 0.0735079i | ||||
\(9\) | 1.97621 | + | 0.138190i | 0.658738 | + | 0.0460635i | ||||
\(10\) | 0.872989 | + | 2.05861i | 0.276063 | + | 0.650991i | ||||
\(11\) | 0.431397 | − | 4.10447i | 0.130071 | − | 1.23754i | −0.713550 | − | 0.700604i | \(-0.752914\pi\) |
0.843621 | − | 0.536939i | \(-0.180419\pi\) | |||||||
\(12\) | 0.105515 | + | 1.00391i | 0.0304595 | + | 0.289803i | ||||
\(13\) | −1.81248 | + | 2.68711i | −0.502690 | + | 0.745269i | −0.991917 | − | 0.126887i | \(-0.959501\pi\) |
0.489227 | + | 0.872157i | \(0.337279\pi\) | |||||||
\(14\) | 1.11692 | − | 2.29002i | 0.298508 | − | 0.612033i | ||||
\(15\) | 2.15877 | − | 0.659184i | 0.557391 | − | 0.170201i | ||||
\(16\) | 0.961262 | − | 0.275637i | 0.240315 | − | 0.0689093i | ||||
\(17\) | 0.925273 | + | 2.29013i | 0.224412 | + | 0.555438i | 0.996820 | − | 0.0796882i | \(-0.0253925\pi\) |
−0.772408 | + | 0.635126i | \(0.780948\pi\) | |||||||
\(18\) | −1.98104 | −0.466936 | ||||||||
\(19\) | 0.663286 | − | 4.30814i | 0.152168 | − | 0.988355i | ||||
\(20\) | −1.01446 | − | 1.99270i | −0.226841 | − | 0.445582i | ||||
\(21\) | −2.18111 | − | 1.36291i | −0.475957 | − | 0.297411i | ||||
\(22\) | −0.144033 | + | 4.12456i | −0.0307079 | + | 0.879359i | ||||
\(23\) | 1.92231 | − | 1.85635i | 0.400828 | − | 0.387075i | −0.466739 | − | 0.884395i | \(-0.654571\pi\) |
0.867567 | + | 0.497320i | \(0.165682\pi\) | |||||||
\(24\) | −0.175287 | − | 0.994100i | −0.0357802 | − | 0.202920i | ||||
\(25\) | −3.94218 | + | 3.07558i | −0.788437 | + | 0.615116i | ||||
\(26\) | 1.62062 | − | 2.80699i | 0.317829 | − | 0.550497i | ||||
\(27\) | −0.525573 | + | 5.00049i | −0.101147 | + | 0.962345i | ||||
\(28\) | −0.954452 | + | 2.36235i | −0.180374 | + | 0.446442i | ||||
\(29\) | 2.43978 | − | 6.03867i | 0.453056 | − | 1.12135i | −0.511925 | − | 0.859030i | \(-0.671067\pi\) |
0.964980 | − | 0.262322i | \(-0.0844882\pi\) | |||||||
\(30\) | −2.10753 | + | 0.808167i | −0.384780 | + | 0.147550i | ||||
\(31\) | 4.46115 | + | 4.95461i | 0.801246 | + | 0.889874i | 0.995850 | − | 0.0910079i | \(-0.0290089\pi\) |
−0.194604 | + | 0.980882i | \(0.562342\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 4.12547 | + | 0.579797i | 0.718152 | + | 0.100930i | ||||
\(34\) | −1.08277 | − | 2.22001i | −0.185694 | − | 0.380728i | ||||
\(35\) | 5.59218 | + | 1.08902i | 0.945251 | + | 0.184078i | ||||
\(36\) | 1.97621 | − | 0.138190i | 0.329369 | − | 0.0230317i | ||||
\(37\) | 8.23068 | − | 5.97994i | 1.35312 | − | 0.983096i | 0.354266 | − | 0.935145i | \(-0.384731\pi\) |
0.998850 | − | 0.0479518i | \(-0.0152694\pi\) | |||||||
\(38\) | −0.361149 | + | 4.34391i | −0.0585862 | + | 0.704676i | ||||
\(39\) | −2.64696 | − | 1.92313i | −0.423852 | − | 0.307947i | ||||
\(40\) | 1.15100 | + | 1.91708i | 0.181989 | + | 0.303117i | ||||
\(41\) | −1.18287 | + | 0.339183i | −0.184733 | + | 0.0529714i | −0.366729 | − | 0.930328i | \(-0.619522\pi\) |
0.181995 | + | 0.983299i | \(0.441744\pi\) | |||||||
\(42\) | 2.27087 | + | 1.20744i | 0.350403 | + | 0.186312i | ||||
\(43\) | −0.951349 | − | 5.39537i | −0.145079 | − | 0.822786i | −0.967303 | − | 0.253622i | \(-0.918378\pi\) |
0.822224 | − | 0.569164i | \(-0.192733\pi\) | |||||||
\(44\) | −0.144033 | − | 4.12456i | −0.0217138 | − | 0.621801i | ||||
\(45\) | −1.14502 | − | 4.27920i | −0.170690 | − | 0.637905i | ||||
\(46\) | −1.78813 | + | 1.98592i | −0.263645 | + | 0.292808i | ||||
\(47\) | 3.92870 | − | 9.72387i | 0.573059 | − | 1.41837i | −0.310735 | − | 0.950497i | \(-0.600575\pi\) |
0.883794 | − | 0.467875i | \(-0.154980\pi\) | |||||||
\(48\) | 0.244205 | + | 0.979451i | 0.0352479 | + | 0.141372i | ||||
\(49\) | 0.254159 | + | 0.440217i | 0.0363085 | + | 0.0628881i | ||||
\(50\) | 3.71804 | − | 3.34308i | 0.525810 | − | 0.472783i | ||||
\(51\) | −2.34293 | + | 0.852755i | −0.328075 | + | 0.119410i | ||||
\(52\) | −1.42086 | + | 2.91320i | −0.197038 | + | 0.403989i | ||||
\(53\) | 6.14855 | − | 0.864122i | 0.844568 | − | 0.118696i | 0.296399 | − | 0.955064i | \(-0.404214\pi\) |
0.548169 | + | 0.836368i | \(0.315325\pi\) | |||||||
\(54\) | 0.175476 | − | 5.02498i | 0.0238793 | − | 0.683812i | ||||
\(55\) | −8.99261 | + | 2.07283i | −1.21256 | + | 0.279500i | ||||
\(56\) | 0.787338 | − | 2.42318i | 0.105212 | − | 0.323810i | ||||
\(57\) | 4.32277 | + | 0.820906i | 0.572565 | + | 0.108732i | ||||
\(58\) | −2.01260 | + | 6.19415i | −0.264267 | + | 0.813331i | ||||
\(59\) | −2.88408 | + | 11.5674i | −0.375475 | + | 1.50595i | 0.424228 | + | 0.905555i | \(0.360545\pi\) |
−0.799704 | + | 0.600395i | \(0.795010\pi\) | |||||||
\(60\) | 2.04602 | − | 0.953211i | 0.264140 | − | 0.123059i | ||||
\(61\) | −0.716534 | + | 0.691949i | −0.0917427 | + | 0.0885949i | −0.739116 | − | 0.673578i | \(-0.764756\pi\) |
0.647373 | + | 0.762173i | \(0.275868\pi\) | |||||||
\(62\) | −4.79590 | − | 4.63135i | −0.609080 | − | 0.588181i | ||||
\(63\) | −2.82250 | + | 4.18452i | −0.355601 | + | 0.527201i | ||||
\(64\) | 0.913545 | − | 0.406737i | 0.114193 | − | 0.0508421i | ||||
\(65\) | 7.00002 | + | 1.87825i | 0.868245 | + | 0.232968i | ||||
\(66\) | −4.15587 | − | 0.290606i | −0.511552 | − | 0.0357712i | ||||
\(67\) | 3.67812 | − | 2.29834i | 0.449354 | − | 0.280787i | −0.286307 | − | 0.958138i | \(-0.592428\pi\) |
0.735660 | + | 0.677351i | \(0.236872\pi\) | |||||||
\(68\) | 1.23499 | + | 2.13907i | 0.149765 | + | 0.259400i | ||||
\(69\) | 1.80500 | + | 2.00466i | 0.217297 | + | 0.241332i | ||||
\(70\) | −5.65452 | − | 0.696274i | −0.675845 | − | 0.0832207i | ||||
\(71\) | 7.58587 | − | 4.03348i | 0.900278 | − | 0.478686i | 0.0462596 | − | 0.998929i | \(-0.485270\pi\) |
0.854018 | + | 0.520243i | \(0.174159\pi\) | |||||||
\(72\) | −1.96176 | + | 0.275708i | −0.231196 | + | 0.0324924i | ||||
\(73\) | 3.99387 | + | 5.92115i | 0.467447 | + | 0.693019i | 0.986873 | − | 0.161497i | \(-0.0516321\pi\) |
−0.519426 | + | 0.854515i | \(0.673854\pi\) | |||||||
\(74\) | −7.79349 | + | 6.53952i | −0.905975 | + | 0.760204i | ||||
\(75\) | −2.96383 | − | 4.08530i | −0.342233 | − | 0.471730i | ||||
\(76\) | 0.0572536 | − | 4.35852i | 0.00656744 | − | 0.499957i | ||||
\(77\) | 8.50704 | + | 6.18073i | 0.969467 | + | 0.704359i | ||||
\(78\) | 2.77466 | + | 1.73380i | 0.314168 | + | 0.196314i | ||||
\(79\) | 0.254097 | − | 7.27639i | 0.0285882 | − | 0.818658i | −0.897425 | − | 0.441167i | \(-0.854565\pi\) |
0.926013 | − | 0.377491i | \(-0.123213\pi\) | |||||||
\(80\) | −1.28192 | − | 1.83212i | −0.143323 | − | 0.204838i | ||||
\(81\) | 0.859198 | + | 0.120752i | 0.0954665 | + | 0.0134169i | ||||
\(82\) | 1.15633 | − | 0.420869i | 0.127695 | − | 0.0464772i | ||||
\(83\) | −2.69538 | − | 2.99352i | −0.295856 | − | 0.328582i | 0.576829 | − | 0.816865i | \(-0.304290\pi\) |
−0.872685 | + | 0.488283i | \(0.837623\pi\) | |||||||
\(84\) | −2.34956 | − | 1.04609i | −0.256358 | − | 0.114138i | ||||
\(85\) | 4.16956 | − | 3.62201i | 0.452252 | − | 0.392862i | ||||
\(86\) | 1.32539 | + | 5.31586i | 0.142921 | + | 0.573224i | ||||
\(87\) | 6.00598 | + | 2.67403i | 0.643909 | + | 0.286687i | ||||
\(88\) | 0.431397 | + | 4.10447i | 0.0459870 | + | 0.437538i | ||||
\(89\) | 15.3848 | + | 4.41153i | 1.63079 | + | 0.467621i | 0.961369 | − | 0.275263i | \(-0.0887650\pi\) |
0.669420 | + | 0.742884i | \(0.266543\pi\) | |||||||
\(90\) | 1.44073 | + | 4.18890i | 0.151867 | + | 0.441549i | ||||
\(91\) | −3.62019 | − | 7.42249i | −0.379499 | − | 0.778088i | ||||
\(92\) | 1.64524 | − | 2.10582i | 0.171529 | − | 0.219546i | ||||
\(93\) | −5.15547 | + | 4.32595i | −0.534597 | + | 0.448581i | ||||
\(94\) | −3.24082 | + | 9.97423i | −0.334266 | + | 1.02876i | ||||
\(95\) | −9.59192 | + | 1.73063i | −0.984110 | + | 0.177558i | ||||
\(96\) | −0.311933 | − | 0.960030i | −0.0318365 | − | 0.0979827i | ||||
\(97\) | 5.61225 | + | 3.50692i | 0.569838 | + | 0.356074i | 0.784035 | − | 0.620716i | \(-0.213158\pi\) |
−0.214198 | + | 0.976790i | \(0.568714\pi\) | |||||||
\(98\) | −0.284248 | − | 0.421415i | −0.0287134 | − | 0.0425694i | ||||
\(99\) | 1.41973 | − | 8.05169i | 0.142688 | − | 0.809225i | ||||
\(100\) | −3.47578 | + | 3.59429i | −0.347578 | + | 0.359429i | ||||
\(101\) | 10.2325 | − | 3.72432i | 1.01817 | − | 0.370583i | 0.221605 | − | 0.975137i | \(-0.428871\pi\) |
0.796565 | + | 0.604553i | \(0.206648\pi\) | |||||||
\(102\) | 2.27773 | − | 1.01411i | 0.225529 | − | 0.100412i | ||||
\(103\) | −5.72692 | + | 6.36039i | −0.564290 | + | 0.626708i | −0.955995 | − | 0.293383i | \(-0.905219\pi\) |
0.391705 | + | 0.920091i | \(0.371886\pi\) | |||||||
\(104\) | 1.21419 | − | 3.00522i | 0.119061 | − | 0.294686i | ||||
\(105\) | −1.29563 | + | 5.60314i | −0.126440 | + | 0.546810i | ||||
\(106\) | −6.07329 | + | 1.29092i | −0.589890 | + | 0.125385i | ||||
\(107\) | 5.87087 | − | 10.1686i | 0.567559 | − | 0.983040i | −0.429248 | − | 0.903187i | \(-0.641221\pi\) |
0.996807 | − | 0.0798536i | \(-0.0254453\pi\) | |||||||
\(108\) | 0.175476 | + | 5.02498i | 0.0168852 | + | 0.483528i | ||||
\(109\) | 1.60209 | + | 1.54712i | 0.153452 | + | 0.148187i | 0.767422 | − | 0.641143i | \(-0.221539\pi\) |
−0.613970 | + | 0.789330i | \(0.710428\pi\) | |||||||
\(110\) | 8.82611 | − | 2.69507i | 0.841537 | − | 0.256965i | ||||
\(111\) | 5.74273 | + | 8.51395i | 0.545076 | + | 0.808108i | ||||
\(112\) | −0.616387 | + | 2.47219i | −0.0582431 | + | 0.233600i | ||||
\(113\) | −8.82988 | + | 6.41528i | −0.830645 | + | 0.603499i | −0.919742 | − | 0.392524i | \(-0.871602\pi\) |
0.0890968 | + | 0.996023i | \(0.471602\pi\) | |||||||
\(114\) | −4.36950 | − | 0.517366i | −0.409242 | − | 0.0484557i | ||||
\(115\) | −5.32326 | − | 2.71466i | −0.496396 | − | 0.253143i | ||||
\(116\) | 1.57562 | − | 6.31945i | 0.146292 | − | 0.586746i | ||||
\(117\) | −3.95317 | + | 5.05983i | −0.365471 | + | 0.467782i | ||||
\(118\) | 2.07015 | − | 11.7404i | 0.190573 | − | 1.08079i | ||||
\(119\) | −6.23197 | − | 0.875847i | −0.571284 | − | 0.0802887i | ||||
\(120\) | −1.97454 | + | 1.09361i | −0.180250 | + | 0.0998327i | ||||
\(121\) | −5.90091 | − | 1.25428i | −0.536447 | − | 0.114025i | ||||
\(122\) | 0.666520 | − | 0.740246i | 0.0603439 | − | 0.0670187i | ||||
\(123\) | −0.300503 | − | 1.20525i | −0.0270955 | − | 0.108674i | ||||
\(124\) | 5.10728 | + | 4.28552i | 0.458647 | + | 0.384851i | ||||
\(125\) | 9.37029 | + | 6.09898i | 0.838105 | + | 0.545510i | ||||
\(126\) | 2.52372 | − | 4.37122i | 0.224831 | − | 0.389419i | ||||
\(127\) | 7.04546 | + | 2.02025i | 0.625184 | + | 0.179268i | 0.573248 | − | 0.819382i | \(-0.305683\pi\) |
0.0519356 | + | 0.998650i | \(0.483461\pi\) | |||||||
\(128\) | −0.882948 | + | 0.469472i | −0.0780423 | + | 0.0414958i | ||||
\(129\) | 5.47647 | − | 0.769668i | 0.482176 | − | 0.0677655i | ||||
\(130\) | −7.11399 | − | 1.38537i | −0.623938 | − | 0.121505i | ||||
\(131\) | −1.54979 | − | 3.83586i | −0.135406 | − | 0.335140i | 0.844213 | − | 0.536008i | \(-0.180068\pi\) |
−0.979618 | + | 0.200868i | \(0.935624\pi\) | |||||||
\(132\) | 4.16601 | 0.362605 | ||||||||
\(133\) | 8.66104 | + | 6.95186i | 0.751007 | + | 0.602803i | ||||
\(134\) | −3.50884 | + | 2.54932i | −0.303117 | + | 0.220228i | ||||
\(135\) | 10.9558 | − | 2.52534i | 0.942921 | − | 0.217347i | ||||
\(136\) | −1.38120 | − | 2.04771i | −0.118437 | − | 0.175590i | ||||
\(137\) | −0.463218 | − | 0.949737i | −0.0395754 | − | 0.0811415i | 0.878090 | − | 0.478495i | \(-0.158818\pi\) |
−0.917666 | + | 0.397354i | \(0.869929\pi\) | |||||||
\(138\) | −1.94044 | − | 1.87386i | −0.165181 | − | 0.159514i | ||||
\(139\) | −21.9558 | − | 6.29572i | −1.86227 | − | 0.533996i | −0.999602 | − | 0.0282171i | \(-0.991017\pi\) |
−0.862663 | − | 0.505779i | \(-0.831205\pi\) | |||||||
\(140\) | 5.68932 | + | 0.300139i | 0.480835 | + | 0.0253664i | ||||
\(141\) | 9.67123 | + | 4.30591i | 0.814465 | + | 0.362623i | ||||
\(142\) | −7.28603 | + | 4.55282i | −0.611430 | + | 0.382064i | ||||
\(143\) | 10.2472 | + | 8.59845i | 0.856917 | + | 0.719039i | ||||
\(144\) | 1.93775 | − | 0.411881i | 0.161479 | − | 0.0343235i | ||||
\(145\) | −14.5431 | − | 0.767218i | −1.20774 | − | 0.0637140i | ||||
\(146\) | −4.39718 | − | 5.62813i | −0.363913 | − | 0.465788i | ||||
\(147\) | −0.453053 | + | 0.240893i | −0.0373672 | + | 0.0198685i | ||||
\(148\) | 7.31834 | − | 7.06723i | 0.601564 | − | 0.580923i | ||||
\(149\) | 9.83864 | + | 3.58097i | 0.806013 | + | 0.293365i | 0.711976 | − | 0.702204i | \(-0.247801\pi\) |
0.0940369 | + | 0.995569i | \(0.470023\pi\) | |||||||
\(150\) | 3.24159 | + | 3.86861i | 0.264674 | + | 0.315870i | ||||
\(151\) | −8.20081 | −0.667372 | −0.333686 | − | 0.942684i | \(-0.608293\pi\) | ||||
−0.333686 | + | 0.942684i | \(0.608293\pi\) | |||||||
\(152\) | 0.246921 | + | 4.35190i | 0.0200279 | + | 0.352986i | ||||
\(153\) | 1.51206 | + | 4.65365i | 0.122243 | + | 0.376225i | ||||
\(154\) | −8.91746 | − | 5.57225i | −0.718590 | − | 0.449025i | ||||
\(155\) | 7.23208 | − | 13.0364i | 0.580895 | − | 1.04711i | ||||
\(156\) | −2.88884 | − | 1.53603i | −0.231293 | − | 0.122980i | ||||
\(157\) | −3.63847 | − | 20.6348i | −0.290382 | − | 1.64684i | −0.685403 | − | 0.728164i | \(-0.740374\pi\) |
0.395022 | − | 0.918672i | \(-0.370737\pi\) | |||||||
\(158\) | 0.254097 | + | 7.27639i | 0.0202149 | + | 0.578879i | ||||
\(159\) | 0.655138 | + | 6.23322i | 0.0519558 | + | 0.494327i | ||||
\(160\) | 1.40660 | + | 1.73824i | 0.111202 | + | 0.137420i | ||||
\(161\) | 1.64718 | + | 6.60649i | 0.129816 | + | 0.520665i | ||||
\(162\) | −0.865529 | − | 0.0605237i | −0.0680024 | − | 0.00475519i | ||||
\(163\) | −9.49825 | − | 4.22889i | −0.743960 | − | 0.331232i | −0.000488415 | − | 1.00000i | \(-0.500155\pi\) |
−0.743472 | + | 0.668768i | \(0.766822\pi\) | |||||||
\(164\) | −1.12415 | + | 0.500505i | −0.0877817 | + | 0.0390829i | ||||
\(165\) | −1.77431 | − | 9.14495i | −0.138130 | − | 0.711934i | ||||
\(166\) | 2.89763 | + | 2.79821i | 0.224900 | + | 0.217183i | ||||
\(167\) | −5.77348 | − | 3.06981i | −0.446765 | − | 0.237549i | 0.230816 | − | 0.972997i | \(-0.425861\pi\) |
−0.677581 | + | 0.735448i | \(0.736972\pi\) | |||||||
\(168\) | 2.41681 | + | 0.879648i | 0.186461 | + | 0.0678663i | ||||
\(169\) | 0.934415 | + | 2.31276i | 0.0718781 | + | 0.177905i | ||||
\(170\) | −3.90674 | + | 3.90404i | −0.299633 | + | 0.299426i | ||||
\(171\) | 1.90614 | − | 8.42215i | 0.145766 | − | 0.644058i | ||||
\(172\) | −1.69298 | − | 5.21046i | −0.129089 | − | 0.397294i | ||||
\(173\) | −8.51442 | + | 0.595386i | −0.647339 | + | 0.0452664i | −0.389652 | − | 0.920962i | \(-0.627405\pi\) |
−0.257687 | + | 0.966228i | \(0.582960\pi\) | |||||||
\(174\) | −6.17788 | − | 2.24856i | −0.468344 | − | 0.170463i | ||||
\(175\) | −1.76425 | − | 12.6166i | −0.133365 | − | 0.953728i | ||||
\(176\) | −0.716659 | − | 4.06438i | −0.0540202 | − | 0.306364i | ||||
\(177\) | −11.5678 | − | 3.31703i | −0.869493 | − | 0.249323i | ||||
\(178\) | −15.6551 | − | 3.32759i | −1.17340 | − | 0.249414i | ||||
\(179\) | −8.67252 | + | 9.63180i | −0.648214 | + | 0.719915i | −0.974257 | − | 0.225440i | \(-0.927618\pi\) |
0.326043 | + | 0.945355i | \(0.394285\pi\) | |||||||
\(180\) | −1.72943 | − | 4.07820i | −0.128904 | − | 0.303971i | ||||
\(181\) | 8.64416 | − | 5.40147i | 0.642515 | − | 0.401488i | −0.169167 | − | 0.985587i | \(-0.554108\pi\) |
0.811682 | + | 0.584099i | \(0.198552\pi\) | |||||||
\(182\) | 4.12914 | + | 7.15187i | 0.306072 | + | 0.530132i | ||||
\(183\) | −0.672809 | − | 0.747230i | −0.0497355 | − | 0.0552369i | ||||
\(184\) | −1.49434 | + | 2.21545i | −0.110164 | + | 0.163325i | ||||
\(185\) | −18.6304 | − | 13.0548i | −1.36974 | − | 0.959806i | ||||
\(186\) | 4.84115 | − | 4.67504i | 0.354970 | − | 0.342791i | ||||
\(187\) | 9.79892 | − | 2.80980i | 0.716568 | − | 0.205473i | ||||
\(188\) | 2.53716 | − | 10.1760i | 0.185042 | − | 0.742161i | ||||
\(189\) | −10.3642 | − | 7.53001i | −0.753883 | − | 0.547728i | ||||
\(190\) | 9.44783 | − | 2.39551i | 0.685418 | − | 0.173788i | ||||
\(191\) | 1.00188 | − | 0.727908i | 0.0724934 | − | 0.0526696i | −0.550948 | − | 0.834539i | \(-0.685734\pi\) |
0.623442 | + | 0.781870i | \(0.285734\pi\) | |||||||
\(192\) | 0.378141 | + | 0.935932i | 0.0272900 | + | 0.0675451i | ||||
\(193\) | −0.385493 | − | 0.140308i | −0.0277484 | − | 0.0100996i | 0.328109 | − | 0.944640i | \(-0.393589\pi\) |
−0.355857 | + | 0.934540i | \(0.615811\pi\) | |||||||
\(194\) | −5.84321 | − | 3.10689i | −0.419518 | − | 0.223062i | ||||
\(195\) | −2.14141 | + | 6.99559i | −0.153350 | + | 0.500965i | ||||
\(196\) | 0.312952 | + | 0.400560i | 0.0223537 | + | 0.0286115i | ||||
\(197\) | 9.45878 | + | 2.01053i | 0.673910 | + | 0.143244i | 0.532141 | − | 0.846656i | \(-0.321388\pi\) |
0.141769 | + | 0.989900i | \(0.454721\pi\) | |||||||
\(198\) | −0.854614 | + | 8.13111i | −0.0607348 | + | 0.577853i | ||||
\(199\) | −11.2346 | − | 9.42699i | −0.796403 | − | 0.668261i | 0.150918 | − | 0.988546i | \(-0.451777\pi\) |
−0.947321 | + | 0.320285i | \(0.896221\pi\) | |||||||
\(200\) | 3.21659 | − | 3.82800i | 0.227447 | − | 0.270680i | ||||
\(201\) | 2.18904 | + | 3.79153i | 0.154403 | + | 0.267434i | ||||
\(202\) | −9.94776 | + | 4.42903i | −0.699922 | + | 0.311625i | ||||
\(203\) | 10.2163 | + | 13.0763i | 0.717047 | + | 0.917779i | ||||
\(204\) | −2.20144 | + | 1.17053i | −0.154132 | + | 0.0819534i | ||||
\(205\) | 1.57746 | + | 2.25450i | 0.110174 | + | 0.157461i | ||||
\(206\) | 5.26929 | − | 6.74439i | 0.367129 | − | 0.469904i | ||||
\(207\) | 4.05542 | − | 3.40290i | 0.281871 | − | 0.236518i | ||||
\(208\) | −1.00160 | + | 3.08260i | −0.0694483 | + | 0.213740i | ||||
\(209\) | −17.3965 | − | 4.58095i | −1.20334 | − | 0.316871i | ||||
\(210\) | 0.901618 | − | 5.67987i | 0.0622175 | − | 0.391948i | ||||
\(211\) | −12.7142 | + | 0.889063i | −0.875281 | + | 0.0612056i | −0.500326 | − | 0.865837i | \(-0.666786\pi\) |
−0.374955 | + | 0.927043i | \(0.622342\pi\) | |||||||
\(212\) | 5.96845 | − | 1.71142i | 0.409915 | − | 0.117541i | ||||
\(213\) | 3.80182 | + | 7.79488i | 0.260496 | + | 0.534096i | ||||
\(214\) | −5.14724 | + | 10.5534i | −0.351858 | + | 0.721416i | ||||
\(215\) | −10.7166 | + | 5.93546i | −0.730866 | + | 0.404795i | ||||
\(216\) | −0.525573 | − | 5.00049i | −0.0357607 | − | 0.340241i | ||||
\(217\) | −16.6157 | + | 3.53178i | −1.12795 | + | 0.239753i | ||||
\(218\) | −1.70610 | − | 1.43159i | −0.115552 | − | 0.0969596i | ||||
\(219\) | −6.11408 | + | 3.82050i | −0.413151 | + | 0.258166i | ||||
\(220\) | −8.61662 | + | 3.30419i | −0.580932 | + | 0.222768i | ||||
\(221\) | −7.83086 | − | 1.66450i | −0.526760 | − | 0.111966i | ||||
\(222\) | −6.32264 | − | 8.09262i | −0.424348 | − | 0.543141i | ||||
\(223\) | −11.3510 | + | 23.2731i | −0.760122 | + | 1.55848i | 0.0678386 | + | 0.997696i | \(0.478390\pi\) |
−0.827961 | + | 0.560786i | \(0.810499\pi\) | |||||||
\(224\) | 0.442434 | − | 2.50917i | 0.0295614 | − | 0.167651i | ||||
\(225\) | −8.21562 | + | 5.53323i | −0.547708 | + | 0.368882i | ||||
\(226\) | 8.36086 | − | 7.01559i | 0.556156 | − | 0.466670i | ||||
\(227\) | −2.42951 | − | 1.76514i | −0.161252 | − | 0.117157i | 0.504233 | − | 0.863568i | \(-0.331775\pi\) |
−0.665485 | + | 0.746411i | \(0.731775\pi\) | |||||||
\(228\) | 4.39495 | + | 0.211304i | 0.291063 | + | 0.0139940i | ||||
\(229\) | −4.98231 | − | 15.3340i | −0.329241 | − | 1.01330i | −0.969490 | − | 0.245131i | \(-0.921169\pi\) |
0.640249 | − | 0.768167i | \(-0.278831\pi\) | |||||||
\(230\) | 5.49966 | + | 2.33671i | 0.362637 | + | 0.154078i | ||||
\(231\) | −6.53494 | + | 8.36434i | −0.429967 | + | 0.550333i | ||||
\(232\) | −1.13096 | + | 6.41397i | −0.0742508 | + | 0.421097i | ||||
\(233\) | −24.7947 | − | 3.48467i | −1.62436 | − | 0.228288i | −0.732552 | − | 0.680711i | \(-0.761671\pi\) |
−0.891803 | + | 0.452423i | \(0.850560\pi\) | |||||||
\(234\) | 3.59059 | − | 5.32327i | 0.234724 | − | 0.347993i | ||||
\(235\) | −23.4183 | − | 1.23543i | −1.52764 | − | 0.0805903i | ||||
\(236\) | −1.24614 | + | 11.8562i | −0.0811168 | + | 0.771775i | ||||
\(237\) | 7.33162 | + | 0.512677i | 0.476240 | + | 0.0333019i | ||||
\(238\) | 6.27789 | + | 0.438993i | 0.406935 | + | 0.0284557i | ||||
\(239\) | 0.625988 | − | 5.95588i | 0.0404918 | − | 0.385254i | −0.955443 | − | 0.295176i | \(-0.904622\pi\) |
0.995935 | − | 0.0900778i | \(-0.0287116\pi\) | |||||||
\(240\) | 1.89344 | − | 1.22869i | 0.122221 | − | 0.0793113i | ||||
\(241\) | 2.19282 | − | 3.25099i | 0.141252 | − | 0.209415i | −0.751773 | − | 0.659422i | \(-0.770801\pi\) |
0.893025 | + | 0.450008i | \(0.148579\pi\) | |||||||
\(242\) | 5.97403 | + | 0.839596i | 0.384025 | + | 0.0539713i | ||||
\(243\) | −2.77141 | + | 15.7175i | −0.177786 | + | 1.00828i | ||||
\(244\) | −0.613260 | + | 0.784937i | −0.0392599 | + | 0.0502504i | ||||
\(245\) | 0.745996 | − | 0.857571i | 0.0476600 | − | 0.0547882i | ||||
\(246\) | 0.383845 | + | 1.18135i | 0.0244731 | + | 0.0753204i | ||||
\(247\) | 10.3742 | + | 9.59072i | 0.660097 | + | 0.610243i | ||||
\(248\) | −5.39378 | − | 3.91881i | −0.342506 | − | 0.248845i | ||||
\(249\) | 3.11488 | − | 2.61369i | 0.197397 | − | 0.165636i | ||||
\(250\) | −9.77291 | − | 5.43049i | −0.618093 | − | 0.343454i | ||||
\(251\) | −3.91333 | + | 22.1936i | −0.247007 | + | 1.40085i | 0.568778 | + | 0.822491i | \(0.307416\pi\) |
−0.815785 | + | 0.578355i | \(0.803695\pi\) | |||||||
\(252\) | −2.21266 | + | 4.53662i | −0.139384 | + | 0.285780i | ||||
\(253\) | −6.79004 | − | 8.69086i | −0.426886 | − | 0.546390i | ||||
\(254\) | −7.16922 | − | 1.52387i | −0.449837 | − | 0.0956158i | ||||
\(255\) | 3.50707 | + | 4.33393i | 0.219621 | + | 0.271401i | ||||
\(256\) | 0.848048 | − | 0.529919i | 0.0530030 | − | 0.0331200i | ||||
\(257\) | 15.8372 | + | 13.2890i | 0.987897 | + | 0.828944i | 0.985262 | − | 0.171053i | \(-0.0547168\pi\) |
0.00263490 | + | 0.999997i | \(0.499161\pi\) | |||||||
\(258\) | −5.40944 | + | 1.14981i | −0.336777 | + | 0.0715842i | ||||
\(259\) | 2.70951 | + | 25.7793i | 0.168361 | + | 1.60185i | ||||
\(260\) | 7.19329 | + | 0.885753i | 0.446109 | + | 0.0549321i | ||||
\(261\) | 5.65601 | − | 11.5965i | 0.350098 | − | 0.717808i | ||||
\(262\) | 1.81359 | + | 3.71841i | 0.112044 | + | 0.229724i | ||||
\(263\) | −16.1480 | + | 4.63035i | −0.995726 | + | 0.285520i | −0.733650 | − | 0.679527i | \(-0.762185\pi\) |
−0.262076 | + | 0.965047i | \(0.584407\pi\) | |||||||
\(264\) | −4.15587 | + | 0.290606i | −0.255776 | + | 0.0178856i | ||||
\(265\) | −6.29878 | − | 12.3726i | −0.386931 | − | 0.760045i | ||||
\(266\) | −9.12488 | − | 6.33076i | −0.559482 | − | 0.388164i | ||||
\(267\) | −4.99243 | + | 15.3651i | −0.305532 | + | 0.940330i | ||||
\(268\) | 3.32246 | − | 2.78787i | 0.202951 | − | 0.170296i | ||||
\(269\) | −5.89739 | + | 7.54832i | −0.359570 | + | 0.460229i | −0.933448 | − | 0.358712i | \(-0.883216\pi\) |
0.573878 | + | 0.818941i | \(0.305438\pi\) | |||||||
\(270\) | −10.7529 | + | 3.28342i | −0.654401 | + | 0.199823i | ||||
\(271\) | 16.2948 | − | 8.66409i | 0.989837 | − | 0.526306i | 0.106133 | − | 0.994352i | \(-0.466153\pi\) |
0.883704 | + | 0.468046i | \(0.155042\pi\) | |||||||
\(272\) | 1.52067 | + | 1.94637i | 0.0922044 | + | 0.118016i | ||||
\(273\) | 7.61549 | − | 3.39063i | 0.460910 | − | 0.205211i | ||||
\(274\) | 0.528340 | + | 0.915111i | 0.0319182 | + | 0.0552839i | ||||
\(275\) | 10.9230 | + | 17.5074i | 0.658680 | + | 1.05573i | ||||
\(276\) | 2.06643 | + | 1.73394i | 0.124384 | + | 0.104371i | ||||
\(277\) | −2.05172 | + | 19.5208i | −0.123276 | + | 1.17289i | 0.741577 | + | 0.670868i | \(0.234078\pi\) |
−0.864853 | + | 0.502026i | \(0.832588\pi\) | |||||||
\(278\) | 22.3415 | + | 4.74882i | 1.33995 | + | 0.284816i | ||||
\(279\) | 8.13151 | + | 10.4079i | 0.486821 | + | 0.623102i | ||||
\(280\) | −5.69639 | + | 0.0974589i | −0.340425 | + | 0.00582428i | ||||
\(281\) | −7.15083 | − | 3.80216i | −0.426582 | − | 0.226818i | 0.242276 | − | 0.970207i | \(-0.422106\pi\) |
−0.668859 | + | 0.743389i | \(0.733217\pi\) | |||||||
\(282\) | −9.94804 | − | 3.62079i | −0.592397 | − | 0.215615i | ||||
\(283\) | −4.75802 | − | 11.7765i | −0.282835 | − | 0.700041i | −0.999995 | − | 0.00313276i | \(-0.999003\pi\) |
0.717160 | − | 0.696908i | \(-0.245442\pi\) | |||||||
\(284\) | 6.95070 | − | 5.04998i | 0.412448 | − | 0.299661i | ||||
\(285\) | −1.40798 | − | 9.73749i | −0.0834014 | − | 0.576799i | ||||
\(286\) | −10.8221 | − | 7.86270i | −0.639923 | − | 0.464931i | ||||
\(287\) | 0.758489 | − | 3.04213i | 0.0447722 | − | 0.179571i | ||||
\(288\) | −1.90430 | + | 0.546049i | −0.112212 | + | 0.0321762i | ||||
\(289\) | 7.84021 | − | 7.57120i | 0.461189 | − | 0.445365i | ||||
\(290\) | 14.5612 | − | 0.249125i | 0.855062 | − | 0.0146291i | ||||
\(291\) | −3.73557 | + | 5.53821i | −0.218983 | + | 0.324656i | ||||
\(292\) | 4.77907 | + | 5.30769i | 0.279674 | + | 0.310609i | ||||
\(293\) | −10.5217 | − | 18.2241i | −0.614682 | − | 1.06466i | −0.990440 | − | 0.137943i | \(-0.955951\pi\) |
0.375758 | − | 0.926718i | \(-0.377382\pi\) | |||||||
\(294\) | 0.435146 | − | 0.271909i | 0.0253782 | − | 0.0158581i | ||||
\(295\) | 26.5567 | − | 2.31415i | 1.54619 | − | 0.134735i | ||||
\(296\) | −6.80752 | + | 7.56052i | −0.395679 | + | 0.439446i | ||||
\(297\) | 20.2976 | + | 4.31439i | 1.17779 | + | 0.250347i | ||||
\(298\) | −10.0645 | − | 2.88594i | −0.583019 | − | 0.167178i | ||||
\(299\) | 1.50407 | + | 8.53002i | 0.0869828 | + | 0.493304i | ||||
\(300\) | −3.50355 | − | 3.63306i | −0.202278 | − | 0.209755i | ||||
\(301\) | 13.1170 | + | 4.77419i | 0.756050 | + | 0.275180i | ||||
\(302\) | 8.18083 | − | 0.572059i | 0.470754 | − | 0.0329183i | ||||
\(303\) | 3.39669 | + | 10.4539i | 0.195135 | + | 0.600563i | ||||
\(304\) | −0.549893 | − | 4.32407i | −0.0315385 | − | 0.248003i | ||||
\(305\) | 1.98423 | + | 1.01188i | 0.113617 | + | 0.0579401i | ||||
\(306\) | −1.83300 | − | 4.53684i | −0.104786 | − | 0.259354i | ||||
\(307\) | 12.4105 | + | 4.51704i | 0.708303 | + | 0.257801i | 0.670952 | − | 0.741501i | \(-0.265886\pi\) |
0.0373515 | + | 0.999302i | \(0.488108\pi\) | |||||||
\(308\) | 9.28444 | + | 4.93663i | 0.529030 | + | 0.281290i | ||||
\(309\) | −6.21474 | − | 6.00150i | −0.353544 | − | 0.341414i | ||||
\(310\) | −6.30509 | + | 13.5091i | −0.358105 | + | 0.767265i | ||||
\(311\) | −15.8043 | + | 7.03652i | −0.896178 | + | 0.399004i | −0.802537 | − | 0.596602i | \(-0.796517\pi\) |
−0.0936408 | + | 0.995606i | \(0.529851\pi\) | |||||||
\(312\) | 2.98895 | + | 1.33077i | 0.169216 | + | 0.0753399i | ||||
\(313\) | −27.4202 | − | 1.91741i | −1.54988 | − | 0.108378i | −0.731014 | − | 0.682362i | \(-0.760953\pi\) |
−0.818866 | + | 0.573984i | \(0.805397\pi\) | |||||||
\(314\) | 5.06902 | + | 20.3307i | 0.286061 | + | 1.14733i | ||||
\(315\) | 10.9009 | + | 2.92492i | 0.614193 | + | 0.164800i | ||||
\(316\) | −0.761054 | − | 7.24094i | −0.0428126 | − | 0.407335i | ||||
\(317\) | 0.169785 | + | 4.86200i | 0.00953607 | + | 0.273077i | 0.994788 | + | 0.101966i | \(0.0325134\pi\) |
−0.985252 | + | 0.171111i | \(0.945264\pi\) | |||||||
\(318\) | −1.08835 | − | 6.17234i | −0.0610316 | − | 0.346127i | ||||
\(319\) | −23.7330 | − | 12.6191i | −1.32879 | − | 0.706531i | ||||
\(320\) | −1.52443 | − | 1.63588i | −0.0852182 | − | 0.0914487i | ||||
\(321\) | 10.0515 | + | 6.28088i | 0.561021 | + | 0.350565i | ||||
\(322\) | −2.10402 | − | 6.47550i | −0.117252 | − | 0.360865i | ||||
\(323\) | 10.4799 | − | 2.46719i | 0.583118 | − | 0.137278i | ||||
\(324\) | 0.867642 | 0.0482023 | ||||||||
\(325\) | −1.11930 | − | 16.1675i | −0.0620873 | − | 0.896810i | ||||
\(326\) | 9.77010 | + | 3.55603i | 0.541116 | + | 0.196950i | ||||
\(327\) | −1.61720 | + | 1.56171i | −0.0894315 | + | 0.0863630i | ||||
\(328\) | 1.08650 | − | 0.577703i | 0.0599920 | − | 0.0318983i | ||||
\(329\) | 16.4511 | + | 21.0564i | 0.906976 | + | 1.16088i | ||||
\(330\) | 2.40791 | + | 8.99891i | 0.132551 | + | 0.495374i | ||||
\(331\) | 0.710411 | − | 0.151002i | 0.0390477 | − | 0.00829984i | −0.188346 | − | 0.982103i | \(-0.560313\pi\) |
0.227394 | + | 0.973803i | \(0.426979\pi\) | |||||||
\(332\) | −3.08576 | − | 2.58926i | −0.169353 | − | 0.142104i | ||||
\(333\) | 17.0920 | − | 10.6802i | 0.936634 | − | 0.585274i | ||||
\(334\) | 5.97356 | + | 2.65960i | 0.326858 | + | 0.145527i | ||||
\(335\) | −7.53479 | − | 6.10587i | −0.411670 | − | 0.333599i | ||||
\(336\) | −2.47229 | − | 0.708917i | −0.134874 | − | 0.0386746i | ||||
\(337\) | −17.3256 | − | 16.7311i | −0.943783 | − | 0.911401i | 0.0524052 | − | 0.998626i | \(-0.483311\pi\) |
−0.996189 | + | 0.0872249i | \(0.972200\pi\) | |||||||
\(338\) | −1.09347 | − | 2.24194i | −0.0594769 | − | 0.121946i | ||||
\(339\) | −6.16080 | − | 9.13376i | −0.334609 | − | 0.496078i | ||||
\(340\) | 3.62489 | − | 4.16705i | 0.196587 | − | 0.225990i | ||||
\(341\) | 22.2605 | − | 16.1732i | 1.20548 | − | 0.875830i | ||||
\(342\) | −1.31400 | + | 8.53460i | −0.0710527 | + | 0.461498i | ||||
\(343\) | −19.1303 | −1.03294 | ||||||||
\(344\) | 2.05232 | + | 5.07967i | 0.110654 | + | 0.273877i | ||||
\(345\) | 2.92613 | − | 5.27458i | 0.157538 | − | 0.283974i | ||||
\(346\) | 8.45214 | − | 1.18787i | 0.454390 | − | 0.0638604i | ||||
\(347\) | 13.5688 | − | 7.21465i | 0.728411 | − | 0.387303i | −0.0634659 | − | 0.997984i | \(-0.520215\pi\) |
0.791877 | + | 0.610681i | \(0.209104\pi\) | |||||||
\(348\) | 6.31968 | + | 1.81214i | 0.338771 | + | 0.0971409i | ||||
\(349\) | −15.5081 | + | 26.8609i | −0.830131 | + | 1.43783i | 0.0678034 | + | 0.997699i | \(0.478401\pi\) |
−0.897934 | + | 0.440130i | \(0.854932\pi\) | |||||||
\(350\) | 2.64004 | + | 12.4628i | 0.141116 | + | 0.666166i | ||||
\(351\) | −12.4843 | − | 10.4755i | −0.666361 | − | 0.559143i | ||||
\(352\) | 0.998430 | + | 4.00448i | 0.0532165 | + | 0.213440i | ||||
\(353\) | 1.82720 | − | 2.02931i | 0.0972519 | − | 0.108009i | −0.692554 | − | 0.721366i | \(-0.743515\pi\) |
0.789806 | + | 0.613357i | \(0.210181\pi\) | |||||||
\(354\) | 11.7711 | + | 2.50201i | 0.625624 | + | 0.132981i | ||||
\(355\) | −14.0457 | − | 13.1069i | −0.745468 | − | 0.695642i | ||||
\(356\) | 15.8491 | + | 2.22744i | 0.839999 | + | 0.118054i | ||||
\(357\) | 1.10312 | − | 6.25609i | 0.0583831 | − | 0.331107i | ||||
\(358\) | 7.97951 | − | 10.2133i | 0.421730 | − | 0.539790i | ||||
\(359\) | 0.821631 | − | 3.29538i | 0.0433640 | − | 0.173924i | −0.944709 | − | 0.327910i | \(-0.893656\pi\) |
0.988073 | + | 0.153987i | \(0.0492112\pi\) | |||||||
\(360\) | 2.00969 | + | 3.94762i | 0.105920 | + | 0.208058i | ||||
\(361\) | −18.1201 | − | 5.71505i | −0.953690 | − | 0.300792i | ||||
\(362\) | −8.24632 | + | 5.99130i | −0.433417 | + | 0.314896i | ||||
\(363\) | 1.47322 | − | 5.90878i | 0.0773242 | − | 0.310130i | ||||
\(364\) | −4.61797 | − | 6.84642i | −0.242047 | − | 0.358850i | ||||
\(365\) | 9.61567 | − | 12.7512i | 0.503307 | − | 0.667430i | ||||
\(366\) | 0.723294 | + | 0.698477i | 0.0378072 | + | 0.0365100i | ||||
\(367\) | 0.0399798 | + | 1.14487i | 0.00208693 | + | 0.0597618i | 0.999987 | − | 0.00500300i | \(-0.00159251\pi\) |
−0.997901 | + | 0.0647648i | \(0.979370\pi\) | |||||||
\(368\) | 1.33616 | − | 2.31430i | 0.0696521 | − | 0.120641i | ||||
\(369\) | −2.38448 | + | 0.506836i | −0.124131 | + | 0.0263848i | ||||
\(370\) | 19.4957 | + | 11.7234i | 1.01353 | + | 0.609469i | ||||
\(371\) | −5.92616 | + | 14.6678i | −0.307671 | + | 0.761513i | ||||
\(372\) | −4.50324 | + | 5.00136i | −0.233482 | + | 0.259308i | ||||
\(373\) | −6.45869 | + | 2.87559i | −0.334418 | + | 0.148893i | −0.567075 | − | 0.823666i | \(-0.691925\pi\) |
0.232656 | + | 0.972559i | \(0.425258\pi\) | |||||||
\(374\) | −9.57905 | + | 3.48649i | −0.495321 | + | 0.180282i | ||||
\(375\) | −6.48288 | + | 9.23808i | −0.334775 | + | 0.477053i | ||||
\(376\) | −1.82114 | + | 10.3282i | −0.0939181 | + | 0.532636i | ||||
\(377\) | 11.8045 | + | 17.5009i | 0.607962 | + | 0.901341i | ||||
\(378\) | 10.8642 | + | 6.78870i | 0.558794 | + | 0.349173i | ||||
\(379\) | −6.25985 | − | 19.2658i | −0.321547 | − | 0.989620i | −0.972975 | − | 0.230910i | \(-0.925830\pi\) |
0.651428 | − | 0.758710i | \(-0.274170\pi\) | |||||||
\(380\) | −9.25772 | + | 3.04872i | −0.474911 | + | 0.156396i | ||||
\(381\) | −2.28628 | + | 7.03643i | −0.117129 | + | 0.360487i | ||||
\(382\) | −0.948662 | + | 0.796022i | −0.0485378 | + | 0.0407280i | ||||
\(383\) | 12.9444 | − | 16.5681i | 0.661430 | − | 0.846592i | −0.333951 | − | 0.942590i | \(-0.608382\pi\) |
0.995381 | + | 0.0959985i | \(0.0306044\pi\) | |||||||
\(384\) | −0.442507 | − | 0.907274i | −0.0225816 | − | 0.0462992i | ||||
\(385\) | 6.88228 | − | 22.4831i | 0.350754 | − | 1.14585i | ||||
\(386\) | 0.394341 | + | 0.113076i | 0.0200715 | + | 0.00575540i | ||||
\(387\) | −1.13448 | − | 10.7939i | −0.0576689 | − | 0.548683i | ||||
\(388\) | 6.04570 | + | 2.69172i | 0.306924 | + | 0.136651i | ||||
\(389\) | −4.67254 | − | 18.7405i | −0.236907 | − | 0.950183i | −0.964481 | − | 0.264153i | \(-0.914908\pi\) |
0.727574 | − | 0.686030i | \(-0.240648\pi\) | |||||||
\(390\) | 1.64821 | − | 7.12793i | 0.0834604 | − | 0.360937i | ||||
\(391\) | 6.02994 | + | 2.68470i | 0.304947 | + | 0.135771i | ||||
\(392\) | −0.340131 | − | 0.377754i | −0.0171792 | − | 0.0190795i | ||||
\(393\) | 3.92429 | − | 1.42832i | 0.197954 | − | 0.0720494i | ||||
\(394\) | −9.57598 | − | 1.34582i | −0.482431 | − | 0.0678013i | ||||
\(395\) | −15.5707 | + | 4.75455i | −0.783447 | + | 0.239227i | ||||
\(396\) | 0.285335 | − | 8.17092i | 0.0143386 | − | 0.410604i | ||||
\(397\) | 28.7139 | + | 17.9425i | 1.44111 | + | 0.900506i | 0.999995 | + | 0.00305618i | \(0.000972813\pi\) |
0.441116 | + | 0.897450i | \(0.354583\pi\) | |||||||
\(398\) | 11.8649 | + | 8.62033i | 0.594732 | + | 0.432098i | ||||
\(399\) | −7.31830 | + | 8.49253i | −0.366373 | + | 0.425158i | ||||
\(400\) | −2.94173 | + | 4.04305i | −0.147086 | + | 0.202152i | ||||
\(401\) | 24.6680 | − | 20.6989i | 1.23186 | − | 1.03365i | 0.233746 | − | 0.972298i | \(-0.424902\pi\) |
0.998116 | − | 0.0613570i | \(-0.0195428\pi\) | |||||||
\(402\) | −2.44819 | − | 3.62959i | −0.122105 | − | 0.181028i | ||||
\(403\) | −21.3993 | + | 3.00747i | −1.06597 | + | 0.149813i | ||||
\(404\) | 9.61457 | − | 5.11216i | 0.478343 | − | 0.254339i | ||||
\(405\) | −0.369531 | − | 1.90459i | −0.0183621 | − | 0.0946398i | ||||
\(406\) | −11.1036 | − | 12.3318i | −0.551064 | − | 0.612018i | ||||
\(407\) | −20.9938 | − | 36.3623i | −1.04062 | − | 1.80241i | ||||
\(408\) | 2.11443 | − | 1.32124i | 0.104680 | − | 0.0654112i | ||||
\(409\) | 39.7444 | + | 2.77920i | 1.96524 | + | 0.137423i | 0.994648 | − | 0.103325i | \(-0.0329481\pi\) |
0.970588 | + | 0.240748i | \(0.0773926\pi\) | |||||||
\(410\) | −1.73088 | − | 2.13897i | −0.0854820 | − | 0.105636i | ||||
\(411\) | 0.974432 | − | 0.433845i | 0.0480652 | − | 0.0214000i | ||||
\(412\) | −4.78599 | + | 7.09553i | −0.235789 | + | 0.349571i | ||||
\(413\) | −21.8497 | − | 21.1000i | −1.07515 | − | 1.03826i | ||||
\(414\) | −3.80816 | + | 3.67750i | −0.187161 | + | 0.180739i | ||||
\(415\) | −4.36954 | + | 7.87643i | −0.214492 | + | 0.386639i | ||||
\(416\) | 0.784126 | − | 3.14496i | 0.0384449 | − | 0.154194i | ||||
\(417\) | 7.12472 | − | 21.9276i | 0.348899 | − | 1.07380i | ||||
\(418\) | 17.6736 | + | 3.35627i | 0.864446 | + | 0.164161i | ||||
\(419\) | −8.24186 | + | 25.3658i | −0.402641 | + | 1.23920i | 0.520208 | + | 0.854040i | \(0.325855\pi\) |
−0.922849 | + | 0.385162i | \(0.874145\pi\) | |||||||
\(420\) | −0.503214 | + | 5.72893i | −0.0245543 | + | 0.279543i | ||||
\(421\) | −0.794084 | + | 22.7396i | −0.0387013 | + | 1.10826i | 0.812347 | + | 0.583174i | \(0.198189\pi\) |
−0.851049 | + | 0.525087i | \(0.824033\pi\) | |||||||
\(422\) | 12.6212 | − | 1.77379i | 0.614391 | − | 0.0863470i | ||||
\(423\) | 9.10770 | − | 18.6735i | 0.442831 | − | 0.907939i | ||||
\(424\) | −5.83452 | + | 2.12359i | −0.283350 | + | 0.103131i | ||||
\(425\) | −10.6911 | − | 6.18236i | −0.518593 | − | 0.299889i | ||||
\(426\) | −4.33630 | − | 7.51069i | −0.210094 | − | 0.363894i | ||||
\(427\) | −0.613983 | − | 2.46255i | −0.0297127 | − | 0.119171i | ||||
\(428\) | 4.39853 | − | 10.8868i | 0.212611 | − | 0.526231i | ||||
\(429\) | −9.03529 | + | 10.0347i | −0.436228 | + | 0.484480i | ||||
\(430\) | 10.2765 | − | 6.66855i | 0.495575 | − | 0.321586i | ||||
\(431\) | −0.990906 | − | 28.3758i | −0.0477303 | − | 1.36682i | −0.753067 | − | 0.657943i | \(-0.771427\pi\) |
0.705337 | − | 0.708872i | \(-0.250796\pi\) | |||||||
\(432\) | 0.873110 | + | 4.95165i | 0.0420075 | + | 0.238236i | ||||
\(433\) | 32.7070 | + | 17.3906i | 1.57180 | + | 0.835740i | 0.999881 | + | 0.0154288i | \(0.00491134\pi\) |
0.571917 | + | 0.820311i | \(0.306200\pi\) | |||||||
\(434\) | 16.3289 | − | 4.68223i | 0.783811 | − | 0.224754i | ||||
\(435\) | 1.28632 | − | 14.6443i | 0.0616744 | − | 0.702142i | ||||
\(436\) | 1.80181 | + | 1.30909i | 0.0862911 | + | 0.0626942i | ||||
\(437\) | −6.72237 | − | 9.51284i | −0.321574 | − | 0.455061i | ||||
\(438\) | 5.83268 | − | 4.23769i | 0.278696 | − | 0.202485i | ||||
\(439\) | 36.6186 | − | 2.56062i | 1.74771 | − | 0.122212i | 0.840209 | − | 0.542262i | \(-0.182432\pi\) |
0.907501 | + | 0.420050i | \(0.137988\pi\) | |||||||
\(440\) | 8.36514 | − | 3.89720i | 0.398792 | − | 0.185792i | ||||
\(441\) | 0.441439 | + | 0.905085i | 0.0210209 | + | 0.0430993i | ||||
\(442\) | 7.92789 | + | 1.11419i | 0.377091 | + | 0.0529967i | ||||
\(443\) | −13.4813 | + | 4.90678i | −0.640514 | + | 0.233128i | −0.641801 | − | 0.766871i | \(-0.721813\pi\) |
0.00128682 | + | 0.999999i | \(0.499590\pi\) | |||||||
\(444\) | 6.87175 | + | 7.63186i | 0.326119 | + | 0.362192i | ||||
\(445\) | −1.86062 | − | 35.7395i | −0.0882020 | − | 1.69421i | ||||
\(446\) | 9.69995 | − | 24.0082i | 0.459306 | − | 1.13682i | ||||
\(447\) | −3.95916 | + | 9.79927i | −0.187262 | + | 0.463489i | ||||
\(448\) | −0.266326 | + | 2.53392i | −0.0125827 | + | 0.119716i | ||||
\(449\) | −8.74497 | + | 15.1467i | −0.412701 | + | 0.714818i | −0.995184 | − | 0.0980241i | \(-0.968748\pi\) |
0.582483 | + | 0.812843i | \(0.302081\pi\) | |||||||
\(450\) | 7.80962 | − | 6.09285i | 0.368149 | − | 0.287220i | ||||
\(451\) | 0.881877 | + | 5.00137i | 0.0415260 | + | 0.235505i | ||||
\(452\) | −7.85111 | + | 7.58173i | −0.369285 | + | 0.356615i | ||||
\(453\) | 0.288904 | − | 8.27314i | 0.0135739 | − | 0.388706i | ||||
\(454\) | 2.54672 | + | 1.59137i | 0.119524 | + | 0.0746866i | ||||
\(455\) | −13.0620 | + | 13.0530i | −0.612356 | + | 0.611932i | ||||
\(456\) | −4.39898 | + | 0.0957869i | −0.206001 | + | 0.00448563i | ||||
\(457\) | −0.598240 | −0.0279845 | −0.0139922 | − | 0.999902i | \(-0.504454\pi\) | ||||
−0.0139922 | + | 0.999902i | \(0.504454\pi\) | |||||||
\(458\) | 6.03982 | + | 14.9491i | 0.282222 | + | 0.698525i | ||||
\(459\) | −11.9381 | + | 3.42319i | −0.557222 | + | 0.159781i | ||||
\(460\) | −5.64926 | − | 1.94738i | −0.263398 | − | 0.0907972i | ||||
\(461\) | 6.15533 | − | 12.6203i | 0.286682 | − | 0.587786i | −0.706045 | − | 0.708167i | \(-0.749523\pi\) |
0.992728 | + | 0.120380i | \(0.0384115\pi\) | |||||||
\(462\) | 5.93555 | − | 8.79982i | 0.276147 | − | 0.409405i | ||||
\(463\) | 4.01870 | + | 38.2354i | 0.186765 | + | 1.77695i | 0.540245 | + | 0.841508i | \(0.318332\pi\) |
−0.353480 | + | 0.935442i | \(0.615002\pi\) | |||||||
\(464\) | 0.680785 | − | 6.47723i | 0.0316046 | − | 0.300698i | ||||
\(465\) | 12.8966 | + | 7.75512i | 0.598065 | + | 0.359635i | ||||
\(466\) | 24.9774 | + | 1.74659i | 1.15706 | + | 0.0809092i | ||||
\(467\) | 23.6166 | − | 5.01987i | 1.09285 | − | 0.232292i | 0.373978 | − | 0.927438i | \(-0.377994\pi\) |
0.718869 | + | 0.695146i | \(0.244660\pi\) | |||||||
\(468\) | −3.21051 | + | 5.56077i | −0.148406 | + | 0.257046i | ||||
\(469\) | 0.385659 | + | 11.0438i | 0.0178081 | + | 0.509956i | ||||
\(470\) | 23.4474 | − | 0.401158i | 1.08155 | − | 0.0185041i | ||||
\(471\) | 20.9450 | − | 2.94362i | 0.965094 | − | 0.135635i | ||||
\(472\) | 0.416056 | − | 11.9143i | 0.0191505 | − | 0.548399i | ||||
\(473\) | −22.5555 | + | 1.57723i | −1.03710 | + | 0.0725213i | ||||
\(474\) | −7.34952 | −0.337575 | ||||||||
\(475\) | 10.6352 | + | 19.0235i | 0.487978 | + | 0.872856i | ||||
\(476\) | −6.29322 | −0.288449 | ||||||||
\(477\) | 12.2703 | − | 0.858020i | 0.561817 | − | 0.0392860i | ||||
\(478\) | −0.209002 | + | 5.98503i | −0.00955953 | + | 0.273749i | ||||
\(479\) | 39.3990 | − | 5.53717i | 1.80019 | − | 0.253000i | 0.842068 | − | 0.539371i | \(-0.181338\pi\) |
0.958119 | + | 0.286371i | \(0.0924490\pi\) | |||||||
\(480\) | −1.80312 | + | 1.35777i | −0.0823009 | + | 0.0619735i | ||||
\(481\) | 1.15082 | + | 32.9552i | 0.0524730 | + | 1.50263i | ||||
\(482\) | −1.96070 | + | 3.39603i | −0.0893075 | + | 0.154685i | ||||
\(483\) | −6.72279 | + | 1.42897i | −0.305898 | + | 0.0650206i | ||||
\(484\) | −6.01805 | − | 0.420823i | −0.273548 | − | 0.0191283i | ||||
\(485\) | 3.33380 | − | 14.4175i | 0.151380 | − | 0.654666i | ||||
\(486\) | 1.66827 | − | 15.8725i | 0.0756742 | − | 0.719992i | ||||
\(487\) | 2.20589 | + | 20.9876i | 0.0999583 | + | 0.951039i | 0.923452 | + | 0.383714i | \(0.125355\pi\) |
−0.823494 | + | 0.567325i | \(0.807978\pi\) | |||||||
\(488\) | 0.557012 | − | 0.825804i | 0.0252147 | − | 0.0373824i | ||||
\(489\) | 4.60080 | − | 9.43304i | 0.208056 | − | 0.426577i | ||||
\(490\) | −0.684358 | + | 0.907520i | −0.0309161 | + | 0.0409976i | ||||
\(491\) | 1.14374 | − | 0.327963i | 0.0516164 | − | 0.0148008i | −0.249730 | − | 0.968316i | \(-0.580342\pi\) |
0.301346 | + | 0.953515i | \(0.402564\pi\) | |||||||
\(492\) | −0.465318 | − | 1.15170i | −0.0209781 | − | 0.0519227i | ||||
\(493\) | 16.0868 | 0.724513 | ||||||||
\(494\) | −11.0180 | − | 8.84368i | −0.495722 | − | 0.397896i | ||||
\(495\) | −18.0578 | + | 2.85367i | −0.811637 | + | 0.128263i | ||||
\(496\) | 5.65401 | + | 3.53302i | 0.253872 | + | 0.158637i | ||||
\(497\) | −0.763956 | + | 21.8768i | −0.0342681 | + | 0.981311i | ||||
\(498\) | −2.92497 | + | 2.82461i | −0.131071 | + | 0.126574i | ||||
\(499\) | 5.20446 | + | 29.5159i | 0.232983 | + | 1.32131i | 0.846819 | + | 0.531881i | \(0.178515\pi\) |
−0.613836 | + | 0.789434i | \(0.710374\pi\) | |||||||
\(500\) | 10.1279 | + | 4.73553i | 0.452934 | + | 0.211780i | ||||
\(501\) | 3.30028 | − | 5.71626i | 0.147446 | − | 0.255384i | ||||
\(502\) | 2.35565 | − | 22.4125i | 0.105138 | − | 1.00032i | ||||
\(503\) | 10.6977 | − | 26.4776i | 0.476985 | − | 1.18058i | −0.476510 | − | 0.879169i | \(-0.658098\pi\) |
0.953495 | − | 0.301410i | \(-0.0974573\pi\) | |||||||
\(504\) | 1.89081 | − | 4.67991i | 0.0842233 | − | 0.208460i | ||||
\(505\) | −15.3167 | − | 18.9280i | −0.681586 | − | 0.842284i | ||||
\(506\) | 7.37975 | + | 8.19604i | 0.328070 | + | 0.364358i | ||||
\(507\) | −2.36608 | + | 0.861182i | −0.105081 | + | 0.0382464i | ||||
\(508\) | 7.25806 | + | 1.02005i | 0.322024 | + | 0.0452576i | ||||
\(509\) | −1.70228 | − | 3.49020i | −0.0754523 | − | 0.154700i | 0.857733 | − | 0.514095i | \(-0.171872\pi\) |
−0.933186 | + | 0.359395i | \(0.882983\pi\) | |||||||
\(510\) | −3.80084 | − | 4.07873i | −0.168304 | − | 0.180609i | ||||
\(511\) | −18.1531 | + | 1.26939i | −0.803047 | + | 0.0561545i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | 21.1942 | + | 5.58100i | 0.935747 | + | 0.246407i | ||||
\(514\) | −16.7256 | − | 12.1519i | −0.737735 | − | 0.535996i | ||||
\(515\) | 17.6140 | + | 7.48389i | 0.776165 | + | 0.329780i | ||||
\(516\) | 5.31606 | − | 1.52435i | 0.234026 | − | 0.0671060i | ||||
\(517\) | −38.2165 | − | 20.3201i | −1.68076 | − | 0.893675i | ||||
\(518\) | −4.50119 | − | 25.5275i | −0.197771 | − | 1.12161i | ||||
\(519\) | −0.300685 | − | 8.61049i | −0.0131986 | − | 0.377959i | ||||
\(520\) | −7.23756 | − | 0.381816i | −0.317388 | − | 0.0167437i | ||||
\(521\) | −9.50975 | + | 10.5617i | −0.416630 | + | 0.462714i | −0.914529 | − | 0.404521i | \(-0.867438\pi\) |
0.497899 | + | 0.867235i | \(0.334105\pi\) | |||||||
\(522\) | −4.83330 | + | 11.9628i | −0.211548 | + | 0.523599i | ||||
\(523\) | 5.31807 | + | 21.3296i | 0.232543 | + | 0.932679i | 0.967154 | + | 0.254190i | \(0.0818090\pi\) |
−0.734611 | + | 0.678488i | \(0.762635\pi\) | |||||||
\(524\) | −2.06855 | − | 3.58284i | −0.0903651 | − | 0.156517i | ||||
\(525\) | 12.7901 | − | 1.33534i | 0.558204 | − | 0.0582790i | ||||
\(526\) | 15.7856 | − | 5.74550i | 0.688286 | − | 0.250516i | ||||
\(527\) | −7.21892 | + | 14.8010i | −0.314461 | + | 0.644741i | ||||
\(528\) | 4.12547 | − | 0.579797i | 0.179538 | − | 0.0252324i | ||||
\(529\) | −0.553461 | + | 15.8491i | −0.0240635 | + | 0.689089i | ||||
\(530\) | 7.14651 | + | 11.9031i | 0.310424 | + | 0.517038i | ||||
\(531\) | −7.29807 | + | 22.4612i | −0.316709 | + | 0.974731i | ||||
\(532\) | 9.54426 | + | 5.67882i | 0.413796 | + | 0.246208i | ||||
\(533\) | 1.23250 | − | 3.79326i | 0.0533857 | − | 0.164304i | ||||
\(534\) | 3.90845 | − | 15.6759i | 0.169135 | − | 0.678364i | ||||
\(535\) | −25.7712 | − | 5.01867i | −1.11419 | − | 0.216976i | ||||
\(536\) | −3.11989 | + | 3.01284i | −0.134759 | + | 0.130135i | ||||
\(537\) | −9.41124 | − | 9.08833i | −0.406125 | − | 0.392190i | ||||
\(538\) | 5.35648 | − | 7.94131i | 0.230934 | − | 0.342374i | ||||
\(539\) | 1.91650 | − | 0.853280i | 0.0825494 | − | 0.0367534i | ||||
\(540\) | 10.4977 | − | 4.02551i | 0.451748 | − | 0.173230i | ||||
\(541\) | 18.2191 | + | 1.27400i | 0.783299 | + | 0.0547736i | 0.455805 | − | 0.890080i | \(-0.349351\pi\) |
0.327494 | + | 0.944853i | \(0.393796\pi\) | |||||||
\(542\) | −15.6507 | + | 9.77965i | −0.672255 | + | 0.420072i | ||||
\(543\) | 5.14459 | + | 8.91069i | 0.220776 | + | 0.382394i | ||||
\(544\) | −1.65274 | − | 1.83556i | −0.0708607 | − | 0.0786988i | ||||
\(545\) | 2.10624 | − | 4.51276i | 0.0902213 | − | 0.193305i | ||||
\(546\) | −7.36042 | + | 3.91361i | −0.314997 | + | 0.167487i | ||||
\(547\) | 21.7130 | − | 3.05157i | 0.928381 | − | 0.130475i | 0.341255 | − | 0.939971i | \(-0.389148\pi\) |
0.587126 | + | 0.809495i | \(0.300259\pi\) | |||||||
\(548\) | −0.590887 | − | 0.876027i | −0.0252415 | − | 0.0374220i | ||||
\(549\) | −1.51165 | + | 1.26842i | −0.0645154 | + | 0.0541349i | ||||
\(550\) | −12.1176 | − | 16.7028i | −0.516697 | − | 0.712208i | ||||
\(551\) | −24.3971 | − | 14.5163i | −1.03935 | − | 0.618414i | ||||
\(552\) | −2.18235 | − | 1.58557i | −0.0928870 | − | 0.0674863i | ||||
\(553\) | 15.7318 | + | 9.83035i | 0.668986 | + | 0.418029i | ||||
\(554\) | 0.685020 | − | 19.6164i | 0.0291037 | − | 0.833422i | ||||
\(555\) | 13.8262 | − | 18.3348i | 0.586891 | − | 0.778270i | ||||
\(556\) | −22.6183 | − | 3.17880i | −0.959230 | − | 0.134811i | ||||
\(557\) | −13.1726 | + | 4.79442i | −0.558139 | + | 0.203146i | −0.605659 | − | 0.795724i | \(-0.707091\pi\) |
0.0475197 | + | 0.998870i | \(0.484868\pi\) | |||||||
\(558\) | −8.83772 | − | 9.81528i | −0.374130 | − | 0.415514i | ||||
\(559\) | 16.2222 | + | 7.22260i | 0.686127 | + | 0.305483i | ||||
\(560\) | 5.67572 | − | 0.494582i | 0.239843 | − | 0.0208999i | ||||
\(561\) | 2.48937 | + | 9.98434i | 0.105101 | + | 0.421539i | ||||
\(562\) | 7.39863 | + | 3.29408i | 0.312092 | + | 0.138953i | ||||
\(563\) | −2.17485 | − | 20.6923i | −0.0916591 | − | 0.872078i | −0.939666 | − | 0.342093i | \(-0.888864\pi\) |
0.848007 | − | 0.529985i | \(-0.177803\pi\) | |||||||
\(564\) | 10.1764 | + | 2.91803i | 0.428503 | + | 0.122871i | ||||
\(565\) | 19.9867 | + | 14.0052i | 0.840847 | + | 0.589201i | ||||
\(566\) | 5.56792 | + | 11.4159i | 0.234037 | + | 0.479847i | ||||
\(567\) | −1.36101 | + | 1.74201i | −0.0571570 | + | 0.0731577i | ||||
\(568\) | −6.58150 | + | 5.52253i | −0.276153 | + | 0.231720i | ||||
\(569\) | −3.76249 | + | 11.5798i | −0.157732 | + | 0.485449i | −0.998427 | − | 0.0560591i | \(-0.982146\pi\) |
0.840695 | + | 0.541508i | \(0.182146\pi\) | |||||||
\(570\) | 2.08380 | + | 9.61556i | 0.0872808 | + | 0.402751i | ||||
\(571\) | 3.78749 | + | 11.6567i | 0.158501 | + | 0.487817i | 0.998499 | − | 0.0547733i | \(-0.0174436\pi\) |
−0.839997 | + | 0.542590i | \(0.817444\pi\) | |||||||
\(572\) | 11.3442 | + | 7.08864i | 0.474324 | + | 0.296391i | ||||
\(573\) | 0.699033 | + | 1.03636i | 0.0292025 | + | 0.0432945i | ||||
\(574\) | −0.544433 | + | 3.08763i | −0.0227242 | + | 0.128875i | ||||
\(575\) | −1.86873 | + | 13.2303i | −0.0779315 | + | 0.551740i | ||||
\(576\) | 1.86157 | − | 0.677556i | 0.0775654 | − | 0.0282315i | ||||
\(577\) | −23.7712 | + | 10.5836i | −0.989610 | + | 0.440603i | −0.836714 | − | 0.547640i | \(-0.815526\pi\) |
−0.152896 | + | 0.988242i | \(0.548860\pi\) | |||||||
\(578\) | −7.29297 | + | 8.09967i | −0.303348 | + | 0.336902i | ||||
\(579\) | 0.155126 | − | 0.383950i | 0.00644682 | − | 0.0159564i | ||||
\(580\) | −14.5083 | + | 1.26426i | −0.602426 | + | 0.0524953i | ||||
\(581\) | 10.0390 | − | 2.13386i | 0.416489 | − | 0.0885275i | ||||
\(582\) | 3.34014 | − | 5.78530i | 0.138453 | − | 0.239808i | ||||
\(583\) | −0.894296 | − | 25.6093i | −0.0370379 | − | 1.06063i | ||||
\(584\) | −5.13767 | − | 4.96139i | −0.212598 | − | 0.205304i | ||||
\(585\) | 13.5740 | + | 4.67915i | 0.561215 | + | 0.193459i | ||||
\(586\) | 11.7673 | + | 17.4457i | 0.486102 | + | 0.720676i | ||||
\(587\) | −0.290060 | + | 1.16337i | −0.0119721 | + | 0.0480174i | −0.975985 | − | 0.217839i | \(-0.930099\pi\) |
0.964013 | + | 0.265857i | \(0.0856547\pi\) | |||||||
\(588\) | −0.415118 | + | 0.301601i | −0.0171192 | + | 0.0124378i | ||||
\(589\) | 24.3042 | − | 15.9329i | 1.00144 | − | 0.656505i | ||||
\(590\) | −26.3306 | + | 4.16102i | −1.08401 | + | 0.171306i | ||||
\(591\) | −2.36148 | + | 9.47138i | −0.0971383 | + | 0.389601i | ||||
\(592\) | 6.26355 | − | 8.01697i | 0.257430 | − | 0.329496i | ||||
\(593\) | 2.57982 | − | 14.6309i | 0.105940 | − | 0.600818i | −0.884900 | − | 0.465781i | \(-0.845774\pi\) |
0.990841 | − | 0.135037i | \(-0.0431153\pi\) | |||||||
\(594\) | −20.5491 | − | 2.88799i | −0.843141 | − | 0.118496i | ||||
\(595\) | 2.68030 | + | 13.8145i | 0.109881 | + | 0.566337i | ||||
\(596\) | 10.2413 | + | 2.17685i | 0.419499 | + | 0.0891672i | ||||
\(597\) | 9.90592 | − | 11.0016i | 0.405422 | − | 0.450267i | ||||
\(598\) | −2.09543 | − | 8.40433i | −0.0856887 | − | 0.343679i | ||||
\(599\) | −8.98714 | − | 7.54111i | −0.367205 | − | 0.308121i | 0.440450 | − | 0.897777i | \(-0.354819\pi\) |
−0.807655 | + | 0.589656i | \(0.799263\pi\) | |||||||
\(600\) | 3.74844 | + | 3.37982i | 0.153030 | + | 0.137980i | ||||
\(601\) | 5.00656 | − | 8.67162i | 0.204222 | − | 0.353723i | −0.745663 | − | 0.666324i | \(-0.767867\pi\) |
0.949885 | + | 0.312601i | \(0.101200\pi\) | |||||||
\(602\) | −13.4181 | − | 3.84757i | −0.546879 | − | 0.156815i | ||||
\(603\) | 7.58636 | − | 4.03374i | 0.308941 | − | 0.164267i | ||||
\(604\) | −8.12100 | + | 1.14133i | −0.330439 | + | 0.0464401i | ||||
\(605\) | 1.63934 | + | 13.3896i | 0.0666486 | + | 0.544366i | ||||
\(606\) | −4.11764 | − | 10.1915i | −0.167268 | − | 0.414003i | ||||
\(607\) | −47.1846 | −1.91516 | −0.957582 | − | 0.288162i | \(-0.906956\pi\) | ||||
−0.957582 | + | 0.288162i | \(0.906956\pi\) | |||||||
\(608\) | 0.850185 | + | 4.27518i | 0.0344796 | + | 0.173382i | ||||
\(609\) | −13.5516 | + | 9.84580i | −0.549138 | + | 0.398972i | ||||
\(610\) | −2.04998 | − | 0.871003i | −0.0830013 | − | 0.0352659i | ||||
\(611\) | 19.0084 | + | 28.1811i | 0.768997 | + | 1.14009i | ||||
\(612\) | 2.14501 | + | 4.39792i | 0.0867069 | + | 0.177776i | ||||
\(613\) | 8.91057 | + | 8.60484i | 0.359895 | + | 0.347546i | 0.852519 | − | 0.522696i | \(-0.175074\pi\) |
−0.492625 | + | 0.870242i | \(0.663962\pi\) | |||||||
\(614\) | −12.6953 | − | 3.64033i | −0.512342 | − | 0.146912i | ||||
\(615\) | −2.32996 | + | 1.51195i | −0.0939530 | + | 0.0609675i | ||||
\(616\) | −9.60619 | − | 4.27695i | −0.387044 | − | 0.172323i | ||||
\(617\) | −20.7465 | + | 12.9639i | −0.835223 | + | 0.521905i | −0.878825 | − | 0.477144i | \(-0.841672\pi\) |
0.0436024 | + | 0.999049i | \(0.486117\pi\) | |||||||
\(618\) | 6.61824 | + | 5.55337i | 0.266225 | + | 0.223389i | ||||
\(619\) | −14.6600 | + | 3.11607i | −0.589234 | + | 0.125246i | −0.492874 | − | 0.870101i | \(-0.664054\pi\) |
−0.0963606 | + | 0.995346i | \(0.530720\pi\) | |||||||
\(620\) | 5.34738 | − | 13.9160i | 0.214756 | − | 0.558881i | ||||
\(621\) | 8.27235 | + | 10.5881i | 0.331958 | + | 0.424887i | ||||
\(622\) | 15.2749 | − | 8.12183i | 0.612469 | − | 0.325656i | ||||
\(623\) | −29.3335 | + | 28.3270i | −1.17522 | + | 1.13490i | ||||
\(624\) | −3.07450 | − | 1.11903i | −0.123079 | − | 0.0447970i | ||||
\(625\) | 6.08162 | − | 24.2490i | 0.243265 | − | 0.969960i | ||||
\(626\) | 27.4871 | 1.09861 | ||||||||
\(627\) | 5.23421 | − | 17.3885i | 0.209034 | − | 0.694431i | ||||
\(628\) | −6.47487 | − | 19.9276i | −0.258375 | − | 0.795198i | ||||
\(629\) | 21.3105 | + | 13.3163i | 0.849704 | + | 0.530954i | ||||
\(630\) | −11.0783 | − | 2.15739i | −0.441371 | − | 0.0859524i | ||||
\(631\) | −17.9691 | − | 9.55433i | −0.715338 | − | 0.380352i | 0.0715591 | − | 0.997436i | \(-0.477203\pi\) |
−0.786897 | + | 0.617085i | \(0.788314\pi\) | |||||||
\(632\) | 1.26430 | + | 7.17021i | 0.0502912 | + | 0.285216i | ||||
\(633\) | −0.448999 | − | 12.8577i | −0.0178461 | − | 0.511046i | ||||
\(634\) | −0.508527 | − | 4.83832i | −0.0201962 | − | 0.192154i | ||||
\(635\) | −0.852070 | − | 16.3668i | −0.0338134 | − | 0.649498i | ||||
\(636\) | 1.51626 | + | 6.08138i | 0.0601236 | + | 0.241142i | ||||
\(637\) | −1.64357 | − | 0.114929i | −0.0651205 | − | 0.00455367i | ||||
\(638\) | 24.5554 | + | 10.9328i | 0.972159 | + | 0.432833i | ||||
\(639\) | 15.5487 | − | 6.92273i | 0.615097 | − | 0.273859i | ||||
\(640\) | 1.63483 | + | 1.52556i | 0.0646223 | + | 0.0603031i | ||||
\(641\) | 34.0618 | + | 32.8931i | 1.34536 | + | 1.29920i | 0.918791 | + | 0.394744i | \(0.129167\pi\) |
0.426569 | + | 0.904455i | \(0.359722\pi\) | |||||||
\(642\) | −10.4652 | − | 5.56443i | −0.413027 | − | 0.219610i | ||||
\(643\) | −3.42574 | − | 1.24687i | −0.135098 | − | 0.0491717i | 0.273586 | − | 0.961847i | \(-0.411790\pi\) |
−0.408684 | + | 0.912676i | \(0.634012\pi\) | |||||||
\(644\) | 2.55060 | + | 6.31295i | 0.100508 | + | 0.248765i | ||||
\(645\) | −5.61028 | − | 11.0202i | −0.220905 | − | 0.433921i | ||||
\(646\) | −10.2823 | + | 3.19222i | −0.404551 | + | 0.125596i | ||||
\(647\) | −7.84606 | − | 24.1477i | −0.308461 | − | 0.949344i | −0.978363 | − | 0.206895i | \(-0.933664\pi\) |
0.669903 | − | 0.742449i | \(-0.266336\pi\) | |||||||
\(648\) | −0.865529 | + | 0.0605237i | −0.0340012 | + | 0.00237759i | ||||
\(649\) | 46.2339 | + | 16.8278i | 1.81484 | + | 0.660547i | ||||
\(650\) | 2.24435 | + | 16.0500i | 0.0880308 | + | 0.629534i | ||||
\(651\) | −2.97758 | − | 16.8867i | −0.116700 | − | 0.661841i | ||||
\(652\) | −9.99436 | − | 2.86584i | −0.391409 | − | 0.112235i | ||||
\(653\) | −7.98388 | − | 1.69703i | −0.312433 | − | 0.0664098i | 0.0490263 | − | 0.998797i | \(-0.484388\pi\) |
−0.361460 | + | 0.932388i | \(0.617722\pi\) | |||||||
\(654\) | 1.50432 | − | 1.67072i | 0.0588237 | − | 0.0653303i | ||||
\(655\) | −6.98380 | + | 6.06669i | −0.272880 | + | 0.237045i | ||||
\(656\) | −1.04356 | + | 0.652087i | −0.0407440 | + | 0.0254597i | ||||
\(657\) | 7.07450 | + | 12.2534i | 0.276002 | + | 0.478050i | ||||
\(658\) | −17.8798 | − | 19.8575i | −0.697027 | − | 0.774127i | ||||
\(659\) | −1.93248 | + | 2.86502i | −0.0752787 | + | 0.111605i | −0.864797 | − | 0.502122i | \(-0.832553\pi\) |
0.789518 | + | 0.613727i | \(0.210331\pi\) | |||||||
\(660\) | −3.02978 | − | 8.80902i | −0.117934 | − | 0.342891i | ||||
\(661\) | −24.5946 | + | 23.7507i | −0.956618 | + | 0.923796i | −0.997155 | − | 0.0753824i | \(-0.975982\pi\) |
0.0405363 | + | 0.999178i | \(0.487093\pi\) | |||||||
\(662\) | −0.698147 | + | 0.200190i | −0.0271342 | + | 0.00778062i | ||||
\(663\) | 1.95505 | − | 7.84129i | 0.0759280 | − | 0.304530i | ||||
\(664\) | 3.25887 | + | 2.36770i | 0.126469 | + | 0.0918847i | ||||
\(665\) | 8.40085 | − | 23.3695i | 0.325771 | − | 0.906232i | ||||
\(666\) | −16.3053 | + | 11.8465i | −0.631818 | + | 0.459043i | ||||
\(667\) | −6.51987 | − | 16.1372i | −0.252450 | − | 0.624836i | ||||
\(668\) | −6.14453 | − | 2.23643i | −0.237739 | − | 0.0865299i | ||||
\(669\) | −23.0785 | − | 12.2711i | −0.892266 | − | 0.474426i | ||||
\(670\) | 7.94236 | + | 5.56540i | 0.306840 | + | 0.215010i | ||||
\(671\) | 2.53097 | + | 3.23949i | 0.0977070 | + | 0.125059i | ||||
\(672\) | 2.51572 | + | 0.534732i | 0.0970458 | + | 0.0206277i | ||||
\(673\) | −4.41958 | + | 42.0495i | −0.170362 | + | 1.62089i | 0.491234 | + | 0.871027i | \(0.336546\pi\) |
−0.661596 | + | 0.749860i | \(0.730121\pi\) | |||||||
\(674\) | 18.4505 | + | 15.4818i | 0.710685 | + | 0.596336i | ||||
\(675\) | −13.3075 | − | 21.3293i | −0.512206 | − | 0.820965i | ||||
\(676\) | 1.24720 | + | 2.16021i | 0.0479691 | + | 0.0830849i | ||||
\(677\) | −16.6236 | + | 7.40130i | −0.638897 | + | 0.284455i | −0.700507 | − | 0.713645i | \(-0.747043\pi\) |
0.0616108 | + | 0.998100i | \(0.480376\pi\) | |||||||
\(678\) | 6.78293 | + | 8.68176i | 0.260497 | + | 0.333421i | ||||
\(679\) | −14.8878 | + | 7.91598i | −0.571341 | + | 0.303787i | ||||
\(680\) | −3.32538 | + | 4.40976i | −0.127523 | + | 0.169106i | ||||
\(681\) | 1.86630 | − | 2.38875i | 0.0715167 | − | 0.0915373i | ||||
\(682\) | −21.0781 | + | 17.6867i | −0.807123 | + | 0.677257i | ||||
\(683\) | −3.87215 | + | 11.9172i | −0.148164 | + | 0.456000i | −0.997404 | − | 0.0720055i | \(-0.977060\pi\) |
0.849241 | + | 0.528006i | \(0.177060\pi\) | |||||||
\(684\) | 0.715451 | − | 8.60547i | 0.0273560 | − | 0.329038i | ||||
\(685\) | −1.67133 | + | 1.67018i | −0.0638584 | + | 0.0638142i | ||||
\(686\) | 19.0837 | − | 1.33446i | 0.728618 | − | 0.0509499i | ||||
\(687\) | 15.6448 | − | 4.48606i | 0.596885 | − | 0.171154i | ||||
\(688\) | −2.40166 | − | 4.92413i | −0.0915624 | − | 0.187731i | ||||
\(689\) | −8.82211 | + | 18.0880i | −0.336095 | + | 0.689098i | ||||
\(690\) | −2.55107 | + | 5.46584i | −0.0971175 | + | 0.208081i | ||||
\(691\) | 4.58202 | + | 43.5950i | 0.174308 | + | 1.65843i | 0.636221 | + | 0.771507i | \(0.280497\pi\) |
−0.461913 | + | 0.886925i | \(0.652837\pi\) | |||||||
\(692\) | −8.34869 | + | 1.77457i | −0.317370 | + | 0.0674590i | ||||
\(693\) | 15.9576 | + | 13.3900i | 0.606180 | + | 0.508645i | ||||
\(694\) | −13.0325 | + | 8.14359i | −0.494706 | + | 0.309126i | ||||
\(695\) | 2.65531 | + | 51.0040i | 0.100722 | + | 1.93469i | ||||
\(696\) | −6.43070 | − | 1.36689i | −0.243755 | − | 0.0518117i | ||||
\(697\) | −1.87125 | − | 2.39509i | −0.0708786 | − | 0.0907205i | ||||
\(698\) | 13.5966 | − | 27.8772i | 0.514640 | − | 1.05517i | ||||
\(699\) | 4.38889 | − | 24.8906i | 0.166003 | − | 0.941451i | ||||
\(700\) | −3.50297 | − | 12.2483i | −0.132400 | − | 0.462943i | ||||
\(701\) | −31.9218 | + | 26.7855i | −1.20567 | + | 1.01168i | −0.206218 | + | 0.978506i | \(0.566116\pi\) |
−0.999450 | + | 0.0331696i | \(0.989440\pi\) | |||||||
\(702\) | 13.1846 | + | 9.57917i | 0.497620 | + | 0.361542i | ||||
\(703\) | −20.3031 | − | 39.4253i | −0.765747 | − | 1.48695i | ||||
\(704\) | −1.27534 | − | 3.92508i | −0.0480660 | − | 0.147932i | ||||
\(705\) | 2.07132 | − | 23.5813i | 0.0780104 | − | 0.888123i | ||||
\(706\) | −1.68119 | + | 2.15182i | −0.0632724 | + | 0.0809850i | ||||
\(707\) | −4.81774 | + | 27.3228i | −0.181190 | + | 1.02758i | ||||
\(708\) | −11.9169 | − | 1.67481i | −0.447865 | − | 0.0629433i | ||||
\(709\) | 16.4666 | − | 24.4128i | 0.618417 | − | 0.916841i | −0.381555 | − | 0.924346i | \(-0.624611\pi\) |
0.999972 | + | 0.00750554i | \(0.00238911\pi\) | |||||||
\(710\) | 14.9258 | + | 12.0952i | 0.560154 | + | 0.453925i | ||||
\(711\) | 1.50768 | − | 14.3446i | 0.0565423 | − | 0.537964i | ||||
\(712\) | −15.9658 | − | 1.11644i | −0.598345 | − | 0.0418404i | ||||
\(713\) | 17.7732 | + | 1.24282i | 0.665610 | + | 0.0465440i | ||||
\(714\) | −0.664027 | + | 6.31780i | −0.0248506 | + | 0.236438i | ||||
\(715\) | 10.7290 | − | 27.9211i | 0.401241 | − | 1.04419i | ||||
\(716\) | −7.24763 | + | 10.7450i | −0.270857 | + | 0.401561i | ||||
\(717\) | 5.98636 | + | 0.841327i | 0.223565 | + | 0.0314200i | ||||
\(718\) | −0.589755 | + | 3.34467i | −0.0220095 | + | 0.124822i | ||||
\(719\) | 10.3692 | − | 13.2719i | 0.386705 | − | 0.494959i | −0.554789 | − | 0.831991i | \(-0.687201\pi\) |
0.941493 | + | 0.337032i | \(0.109423\pi\) | |||||||
\(720\) | −2.28017 | − | 3.79782i | −0.0849770 | − | 0.141536i | ||||
\(721\) | −6.73863 | − | 20.7394i | −0.250960 | − | 0.772374i | ||||
\(722\) | 18.4746 | + | 4.43713i | 0.687554 | + | 0.165133i | ||||
\(723\) | 3.20241 | + | 2.32669i | 0.119099 | + | 0.0865305i | ||||
\(724\) | 7.80830 | − | 6.55194i | 0.290193 | − | 0.243501i | ||||
\(725\) | 8.95434 | + | 31.3093i | 0.332556 | + | 1.16280i | ||||
\(726\) | −1.05746 | + | 5.99715i | −0.0392460 | + | 0.222575i | ||||
\(727\) | 10.9099 | − | 22.3687i | 0.404627 | − | 0.829609i | −0.595037 | − | 0.803698i | \(-0.702863\pi\) |
0.999664 | − | 0.0259106i | \(-0.00824852\pi\) | |||||||
\(728\) | 5.08430 | + | 6.50761i | 0.188437 | + | 0.241188i | ||||
\(729\) | −13.2124 | − | 2.80839i | −0.489349 | − | 0.104014i | ||||
\(730\) | −8.70277 | + | 13.3909i | −0.322104 | + | 0.495621i | ||||
\(731\) | 11.4758 | − | 7.17090i | 0.424449 | − | 0.265225i | ||||
\(732\) | −0.770256 | − | 0.646321i | −0.0284695 | − | 0.0238887i | ||||
\(733\) | 26.0220 | − | 5.53116i | 0.961146 | − | 0.204298i | 0.299485 | − | 0.954101i | \(-0.403185\pi\) |
0.661661 | + | 0.749803i | \(0.269852\pi\) | |||||||
\(734\) | −0.119745 | − | 1.13929i | −0.00441985 | − | 0.0420521i | ||||
\(735\) | 0.838854 | + | 0.782787i | 0.0309416 | + | 0.0288735i | ||||
\(736\) | −1.17147 | + | 2.40186i | −0.0431809 | + | 0.0885339i | ||||
\(737\) | −7.84675 | − | 16.0882i | −0.289039 | − | 0.592617i | ||||
\(738\) | 2.34331 | − | 0.671935i | 0.0862586 | − | 0.0247343i | ||||
\(739\) | 18.1101 | − | 1.26638i | 0.666190 | − | 0.0465845i | 0.267342 | − | 0.963602i | \(-0.413855\pi\) |
0.398848 | + | 0.917017i | \(0.369410\pi\) | |||||||
\(740\) | −20.2660 | − | 10.3349i | −0.744992 | − | 0.379917i | ||||
\(741\) | −10.0408 | + | 10.1279i | −0.368857 | + | 0.372057i | ||||
\(742\) | 4.88856 | − | 15.0454i | 0.179465 | − | 0.552335i | ||||
\(743\) | 12.4697 | − | 10.4633i | 0.457470 | − | 0.383863i | −0.384729 | − | 0.923029i | \(-0.625705\pi\) |
0.842199 | + | 0.539167i | \(0.181261\pi\) | |||||||
\(744\) | 4.14340 | − | 5.30330i | 0.151904 | − | 0.194429i | ||||
\(745\) | 0.416693 | − | 23.4081i | 0.0152665 | − | 0.857605i | ||||
\(746\) | 6.24236 | − | 3.31912i | 0.228549 | − | 0.121522i | ||||
\(747\) | −4.91297 | − | 6.28831i | −0.179756 | − | 0.230077i | ||||
\(748\) | 9.31251 | − | 4.14620i | 0.340499 | − | 0.151600i | ||||
\(749\) | 14.9583 | + | 25.9085i | 0.546563 | + | 0.946675i | ||||
\(750\) | 5.82267 | − | 9.66780i | 0.212614 | − | 0.353018i | ||||
\(751\) | −39.6832 | − | 33.2981i | −1.44806 | − | 1.21507i | −0.933981 | − | 0.357323i | \(-0.883690\pi\) |
−0.514079 | − | 0.857743i | \(-0.671866\pi\) | |||||||
\(752\) | 1.09625 | − | 10.4301i | 0.0399760 | − | 0.380346i | ||||
\(753\) | −22.2515 | − | 4.72969i | −0.810888 | − | 0.172360i | ||||
\(754\) | −12.9965 | − | 16.6348i | −0.473306 | − | 0.605804i | ||||
\(755\) | 5.96412 | + | 17.3406i | 0.217057 | + | 0.631088i | ||||
\(756\) | −11.3113 | − | 6.01432i | −0.411388 | − | 0.218739i | ||||
\(757\) | 4.62410 | + | 1.68303i | 0.168066 | + | 0.0611709i | 0.424683 | − | 0.905342i | \(-0.360386\pi\) |
−0.256617 | + | 0.966513i | \(0.582608\pi\) | |||||||
\(758\) | 7.58852 | + | 18.7822i | 0.275628 | + | 0.682202i | ||||
\(759\) | 9.00672 | − | 6.54377i | 0.326923 | − | 0.237524i | ||||
\(760\) | 9.02250 | − | 3.68708i | 0.327280 | − | 0.133744i | ||||
\(761\) | −37.5451 | − | 27.2781i | −1.36101 | − | 0.988830i | −0.998380 | − | 0.0568961i | \(-0.981880\pi\) |
−0.362628 | − | 0.931934i | \(-0.618120\pi\) | |||||||
\(762\) | 1.78987 | − | 7.17878i | 0.0648401 | − | 0.260060i | ||||
\(763\) | −5.45471 | + | 1.56411i | −0.197474 | + | 0.0566247i | ||||
\(764\) | 0.890824 | − | 0.860258i | 0.0322289 | − | 0.0311231i | ||||
\(765\) | 8.74046 | − | 6.58167i | 0.316012 | − | 0.237961i | ||||
\(766\) | −11.7572 | + | 17.4307i | −0.424804 | + | 0.629798i | ||||
\(767\) | −25.8556 | − | 28.7155i | −0.933590 | − | 1.03686i | ||||
\(768\) | 0.504718 | + | 0.874197i | 0.0182124 | + | 0.0315449i | ||||
\(769\) | −12.0153 | + | 7.50801i | −0.433284 | + | 0.270746i | −0.728978 | − | 0.684537i | \(-0.760005\pi\) |
0.295694 | + | 0.955283i | \(0.404449\pi\) | |||||||
\(770\) | −5.29718 | + | 22.9084i | −0.190897 | + | 0.825562i | ||||
\(771\) | −13.9641 | + | 15.5087i | −0.502905 | + | 0.558533i | ||||
\(772\) | −0.401269 | − | 0.0852923i | −0.0144420 | − | 0.00306974i | ||||
\(773\) | −11.7749 | − | 3.37639i | −0.423513 | − | 0.121440i | 0.0571096 | − | 0.998368i | \(-0.481812\pi\) |
−0.480623 | + | 0.876927i | \(0.659589\pi\) | |||||||
\(774\) | 1.88466 | + | 10.6884i | 0.0677427 | + | 0.384188i | ||||
\(775\) | −32.8250 | − | 5.81136i | −1.17911 | − | 0.208750i | ||||
\(776\) | −6.21874 | − | 2.26344i | −0.223240 | − | 0.0812526i | ||||
\(777\) | −26.1021 | + | 1.82524i | −0.936409 | + | 0.0654801i | ||||
\(778\) | 5.96843 | + | 18.3689i | 0.213979 | + | 0.658558i | ||||
\(779\) | 0.676665 | + | 5.32094i | 0.0242440 | + | 0.190643i | ||||
\(780\) | −1.14698 | + | 7.22554i | −0.0410683 | + | 0.258716i | ||||
\(781\) | −13.2828 | − | 32.8760i | −0.475295 | − | 1.17640i | ||||
\(782\) | −6.20252 | − | 2.25753i | −0.221802 | − | 0.0807292i | ||||
\(783\) | 28.9140 | + | 15.3739i | 1.03330 | + | 0.549417i | ||||
\(784\) | 0.365654 | + | 0.353108i | 0.0130591 | + | 0.0126110i | ||||
\(785\) | −40.9861 | + | 22.7004i | −1.46286 | + | 0.810212i | ||||
\(786\) | −3.81509 | + | 1.69859i | −0.136080 | + | 0.0605867i | ||||
\(787\) | 10.8043 | + | 4.81038i | 0.385131 | + | 0.171471i | 0.590163 | − | 0.807284i | \(-0.299063\pi\) |
−0.205032 | + | 0.978755i | \(0.565730\pi\) | |||||||
\(788\) | 9.64654 | + | 0.674552i | 0.343644 | + | 0.0240299i | ||||
\(789\) | −4.10232 | − | 16.4535i | −0.146047 | − | 0.585761i | ||||
\(790\) | 15.2011 | − | 5.82912i | 0.540831 | − | 0.207391i | ||||
\(791\) | −2.90677 | − | 27.6560i | −0.103353 | − | 0.983335i | ||||
\(792\) | 0.285335 | + | 8.17092i | 0.0101389 | + | 0.290341i | ||||
\(793\) | −0.560639 | − | 3.17954i | −0.0199089 | − | 0.112909i | ||||
\(794\) | −29.8956 | − | 15.8958i | −1.06096 | − | 0.564120i | ||||
\(795\) | 12.7037 | − | 5.91846i | 0.450552 | − | 0.209906i | ||||
\(796\) | −12.4373 | − | 7.77168i | −0.440828 | − | 0.275460i | ||||
\(797\) | −15.7524 | − | 48.4808i | −0.557977 | − | 1.71728i | −0.687948 | − | 0.725760i | \(-0.741488\pi\) |
0.129971 | − | 0.991518i | \(-0.458512\pi\) | |||||||
\(798\) | 6.70806 | − | 8.98234i | 0.237463 | − | 0.317971i | ||||
\(799\) | 25.9040 | 0.916419 | ||||||||
\(800\) | 2.65253 | − | 4.23841i | 0.0937811 | − | 0.149850i | ||||
\(801\) | 29.7941 | + | 10.8442i | 1.05272 | + | 0.383160i | ||||
\(802\) | −23.1640 | + | 22.3693i | −0.817951 | + | 0.789886i | ||||
\(803\) | 26.0261 | − | 13.8383i | 0.918442 | − | 0.488344i | ||||
\(804\) | 2.69542 | + | 3.44998i | 0.0950600 | + | 0.121671i | ||||
\(805\) | 12.7715 | − | 8.28761i | 0.450135 | − | 0.292100i | ||||
\(806\) | 21.1374 | − | 4.49289i | 0.744532 | − | 0.158255i | ||||
\(807\) | −7.40714 | − | 6.21533i | −0.260744 | − | 0.218790i | ||||
\(808\) | −9.23454 | + | 5.77038i | −0.324870 | + | 0.203001i | ||||
\(809\) | −43.0279 | − | 19.1572i | −1.51278 | − | 0.673533i | −0.528304 | − | 0.849055i | \(-0.677172\pi\) |
−0.984475 | + | 0.175522i | \(0.943839\pi\) | |||||||
\(810\) | 0.501488 | + | 1.87417i | 0.0176205 | + | 0.0658517i | ||||
\(811\) | −10.2510 | − | 2.93944i | −0.359963 | − | 0.103218i | 0.0907815 | − | 0.995871i | \(-0.471064\pi\) |
−0.450744 | + | 0.892653i | \(0.648841\pi\) | |||||||
\(812\) | 11.9368 | + | 11.5272i | 0.418900 | + | 0.404527i | ||||
\(813\) | 8.16646 | + | 16.7437i | 0.286410 | + | 0.587228i | ||||
\(814\) | 23.4791 | + | 34.8093i | 0.822943 | + | 1.22006i | ||||
\(815\) | −2.03427 | + | 23.1595i | −0.0712574 | + | 0.811242i | ||||
\(816\) | −2.01711 | + | 1.46552i | −0.0706131 | + | 0.0513034i | ||||
\(817\) | −23.8750 | + | 0.519873i | −0.835280 | + | 0.0181880i | ||||
\(818\) | −39.8415 | −1.39302 | ||||||||
\(819\) | −6.12855 | − | 15.1687i | −0.214149 | − | 0.530037i | ||||
\(820\) | 1.87587 | + | 2.01302i | 0.0655082 | + | 0.0702977i | ||||
\(821\) | 15.8276 | − | 2.22442i | 0.552386 | − | 0.0776327i | 0.142542 | − | 0.989789i | \(-0.454472\pi\) |
0.409843 | + | 0.912156i | \(0.365583\pi\) | |||||||
\(822\) | −0.941795 | + | 0.500761i | −0.0328489 | + | 0.0174661i | ||||
\(823\) | 9.73042 | + | 2.79015i | 0.339181 | + | 0.0972586i | 0.440904 | − | 0.897554i | \(-0.354658\pi\) |
−0.101723 | + | 0.994813i | \(0.532436\pi\) | |||||||
\(824\) | 4.27937 | − | 7.41209i | 0.149079 | − | 0.258213i | ||||
\(825\) | −18.0466 | + | 10.4025i | −0.628301 | + | 0.362170i | ||||
\(826\) | 23.2683 | + | 19.5244i | 0.809608 | + | 0.679342i | ||||
\(827\) | 7.49824 | + | 30.0738i | 0.260739 | + | 1.04577i | 0.947723 | + | 0.319096i | \(0.103379\pi\) |
−0.686983 | + | 0.726673i | \(0.741065\pi\) | |||||||
\(828\) | 3.54236 | − | 3.93419i | 0.123105 | − | 0.136722i | ||||
\(829\) | 43.1270 | + | 9.16693i | 1.49786 | + | 0.318381i | 0.882669 | − | 0.469995i | \(-0.155744\pi\) |
0.615194 | + | 0.788375i | \(0.289078\pi\) | |||||||
\(830\) | 3.80947 | − | 8.16205i | 0.132229 | − | 0.283309i | ||||
\(831\) | −19.6207 | − | 2.75752i | −0.680636 | − | 0.0956572i | ||||
\(832\) | −0.562835 | + | 3.19199i | −0.0195128 | + | 0.110662i | ||||
\(833\) | −0.772987 | + | 0.989378i | −0.0267824 | + | 0.0342799i | ||||
\(834\) | −5.57777 | + | 22.3712i | −0.193143 | + | 0.774652i | ||||
\(835\) | −2.29228 | + | 14.4406i | −0.0793277 | + | 0.499736i | ||||
\(836\) | −17.8647 | − | 2.11525i | −0.617864 | − | 0.0731574i | ||||
\(837\) | −27.1201 | + | 19.7039i | −0.937409 | + | 0.681068i | ||||
\(838\) | 6.45235 | − | 25.8790i | 0.222893 | − | 0.893974i | ||||
\(839\) | −1.40658 | − | 2.08535i | −0.0485607 | − | 0.0719941i | 0.803975 | − | 0.594663i | \(-0.202714\pi\) |
−0.852536 | + | 0.522668i | \(0.824937\pi\) | |||||||
\(840\) | 0.102359 | − | 5.75007i | 0.00353171 | − | 0.198396i | ||||
\(841\) | −9.65211 | − | 9.32094i | −0.332831 | − | 0.321412i | ||||
\(842\) | −0.794084 | − | 22.7396i | −0.0273660 | − | 0.783658i | ||||
\(843\) | 4.08761 | − | 7.07995i | 0.140785 | − | 0.243847i | ||||
\(844\) | −12.4667 | + | 2.64988i | −0.429122 | + | 0.0912128i | ||||
\(845\) | 4.21076 | − | 3.65780i | 0.144854 | − | 0.125832i | ||||
\(846\) | −7.78291 | + | 19.2634i | −0.267582 | + | 0.662289i | ||||
\(847\) | 10.2850 | − | 11.4227i | 0.353397 | − | 0.392487i | ||||
\(848\) | 5.67218 | − | 2.52542i | 0.194783 | − | 0.0867231i | ||||
\(849\) | 12.0480 | − | 4.38512i | 0.413487 | − | 0.150497i | ||||
\(850\) | 11.0963 | + | 5.42153i | 0.380600 | + | 0.185957i | ||||
\(851\) | 4.72103 | − | 26.7743i | 0.161835 | − | 0.917811i | ||||
\(852\) | 4.84966 | + | 7.18991i | 0.166146 | + | 0.246322i | ||||
\(853\) | −5.86636 | − | 3.66571i | −0.200860 | − | 0.125511i | 0.425760 | − | 0.904836i | \(-0.360007\pi\) |
−0.626620 | + | 0.779325i | \(0.715562\pi\) | |||||||
\(854\) | 0.784266 | + | 2.41372i | 0.0268370 | + | 0.0825959i | ||||
\(855\) | −19.1948 | + | 2.09458i | −0.656450 | + | 0.0716330i | ||||
\(856\) | −3.62840 | + | 11.1671i | −0.124016 | + | 0.381682i | ||||
\(857\) | −17.1642 | + | 14.4025i | −0.586318 | + | 0.491979i | −0.887015 | − | 0.461741i | \(-0.847225\pi\) |
0.300697 | + | 0.953720i | \(0.402781\pi\) | |||||||
\(858\) | 8.31330 | − | 10.6405i | 0.283811 | − | 0.363262i | ||||
\(859\) | 8.88607 | + | 18.2192i | 0.303189 | + | 0.621629i | 0.994936 | − | 0.100510i | \(-0.0320476\pi\) |
−0.691747 | + | 0.722140i | \(0.743159\pi\) | |||||||
\(860\) | −9.78625 | + | 7.36916i | −0.333708 | + | 0.251286i | ||||
\(861\) | 3.04225 | + | 0.872350i | 0.103679 | + | 0.0297296i | ||||
\(862\) | 2.96789 | + | 28.2376i | 0.101087 | + | 0.961776i | ||||
\(863\) | 18.6039 | + | 8.28299i | 0.633284 | + | 0.281956i | 0.698165 | − | 0.715937i | \(-0.254000\pi\) |
−0.0648809 | + | 0.997893i | \(0.520667\pi\) | |||||||
\(864\) | −1.21639 | − | 4.87868i | −0.0413825 | − | 0.165976i | ||||
\(865\) | 7.45114 | + | 17.5707i | 0.253346 | + | 0.597422i | ||||
\(866\) | −33.8404 | − | 15.0667i | −1.14995 | − | 0.511989i | ||||
\(867\) | 7.36178 | + | 8.17609i | 0.250019 | + | 0.277675i | ||||
\(868\) | −15.9625 | + | 5.80987i | −0.541802 | + | 0.197200i | ||||
\(869\) | −29.7561 | − | 4.18194i | −1.00941 | − | 0.141863i | ||||
\(870\) | −0.261650 | + | 14.6984i | −0.00887077 | + | 0.498322i | ||||
\(871\) | −0.490609 | + | 14.0492i | −0.0166236 | + | 0.476039i | ||||
\(872\) | −1.88874 | − | 1.18022i | −0.0639608 | − | 0.0399671i | ||||
\(873\) | 10.6064 | + | 7.70599i | 0.358972 | + | 0.260808i | ||||
\(874\) | 7.36958 | + | 9.02074i | 0.249280 | + | 0.305131i | ||||
\(875\) | −25.3948 | + | 12.9061i | −0.858499 | + | 0.436305i | ||||
\(876\) | −5.52287 | + | 4.63424i | −0.186600 | + | 0.156576i | ||||
\(877\) | 10.9611 | + | 16.2506i | 0.370131 | + | 0.548742i | 0.967385 | − | 0.253310i | \(-0.0815193\pi\) |
−0.597254 | + | 0.802052i | \(0.703742\pi\) | |||||||
\(878\) | −36.3508 | + | 5.10877i | −1.22678 | + | 0.172413i | ||||
\(879\) | 18.7555 | − | 9.97246i | 0.632606 | − | 0.336363i | ||||
\(880\) | −8.07291 | + | 4.47123i | −0.272138 | + | 0.150725i | ||||
\(881\) | 39.1067 | + | 43.4324i | 1.31754 | + | 1.46328i | 0.789040 | + | 0.614342i | \(0.210578\pi\) |
0.528499 | + | 0.848934i | \(0.322755\pi\) | |||||||
\(882\) | −0.503500 | − | 0.872087i | −0.0169537 | − | 0.0293647i | ||||
\(883\) | −30.8088 | + | 19.2515i | −1.03680 | + | 0.647863i | −0.937783 | − | 0.347223i | \(-0.887125\pi\) |
−0.0990153 | + | 0.995086i | \(0.531569\pi\) | |||||||
\(884\) | −7.98630 | − | 0.558457i | −0.268608 | − | 0.0187829i | ||||
\(885\) | 1.39900 | + | 26.8725i | 0.0470270 | + | 0.903309i | ||||
\(886\) | 13.1062 | − | 5.83523i | 0.440310 | − | 0.196039i | ||||
\(887\) | 22.7161 | − | 33.6781i | 0.762733 | − | 1.13080i | −0.224956 | − | 0.974369i | \(-0.572224\pi\) |
0.987689 | − | 0.156430i | \(-0.0499984\pi\) | |||||||
\(888\) | −7.38739 | − | 7.13392i | −0.247904 | − | 0.239399i | ||||
\(889\) | −13.4332 | + | 12.9723i | −0.450536 | + | 0.435078i | ||||
\(890\) | 4.34915 | + | 35.5226i | 0.145784 | + | 1.19072i | ||||
\(891\) | 0.866280 | − | 3.47446i | 0.0290215 | − | 0.116399i | ||||
\(892\) | −8.00159 | + | 24.6264i | −0.267913 | + | 0.824552i | ||||
\(893\) | −39.2859 | − | 23.3751i | −1.31465 | − | 0.782217i | ||||
\(894\) | 3.26595 | − | 10.0516i | 0.109230 | − | 0.336175i | ||||
\(895\) | 26.6736 | + | 11.3332i | 0.891600 | + | 0.378826i | ||||
\(896\) | 0.0889197 | − | 2.54633i | 0.00297060 | − | 0.0850668i | ||||
\(897\) | −8.65825 | + | 1.21684i | −0.289091 | + | 0.0406290i | ||||
\(898\) | 7.66708 | − | 15.7199i | 0.255854 | − | 0.524578i | ||||
\(899\) | 40.8034 | − | 14.8512i | 1.36087 | − | 0.495317i | ||||
\(900\) | −7.36559 | + | 6.62278i | −0.245520 | + | 0.220759i | ||||
\(901\) | 7.66803 | + | 13.2814i | 0.255459 | + | 0.442468i | ||||
\(902\) | −1.22861 | − | 4.92767i | −0.0409081 | − | 0.164074i | ||||
\(903\) | −5.27840 | + | 13.0645i | −0.175654 | + | 0.434759i | ||||
\(904\) | 7.30311 | − | 8.11093i | 0.242898 | − | 0.269765i | ||||
\(905\) | −17.7079 | − | 14.3498i | −0.588632 | − | 0.477002i | ||||
\(906\) | 0.288904 | + | 8.27314i | 0.00959821 | + | 0.274857i | ||||
\(907\) | 4.66639 | + | 26.4644i | 0.154945 | + | 0.878737i | 0.958836 | + | 0.283960i | \(0.0916484\pi\) |
−0.803891 | + | 0.594777i | \(0.797240\pi\) | |||||||
\(908\) | −2.65153 | − | 1.40984i | −0.0879940 | − | 0.0467872i | ||||
\(909\) | 20.7362 | − | 5.94602i | 0.687778 | − | 0.197217i | ||||
\(910\) | 12.1196 | − | 13.9323i | 0.401762 | − | 0.461852i | ||||
\(911\) | 30.0052 | + | 21.8001i | 0.994118 | + | 0.722269i | 0.960819 | − | 0.277177i | \(-0.0893988\pi\) |
0.0332986 | + | 0.999445i | \(0.489399\pi\) | |||||||
\(912\) | 4.38159 | − | 0.402411i | 0.145089 | − | 0.0133252i | ||||
\(913\) | −13.4496 | + | 9.77169i | −0.445116 | + | 0.323396i | ||||
\(914\) | 0.596782 | − | 0.0417311i | 0.0197398 | − | 0.00138034i | ||||
\(915\) | −1.09071 | + | 1.96608i | −0.0360577 | + | 0.0649967i | ||||
\(916\) | −7.06790 | − | 14.4913i | −0.233530 | − | 0.478808i | ||||
\(917\) | 10.4383 | + | 1.46700i | 0.344702 | + | 0.0484446i | ||||
\(918\) | 11.6702 | − | 4.24761i | 0.385174 | − | 0.140192i | ||||
\(919\) | 19.5455 | + | 21.7074i | 0.644745 | + | 0.716062i | 0.973585 | − | 0.228324i | \(-0.0733244\pi\) |
−0.328840 | + | 0.944386i | \(0.606658\pi\) | |||||||
\(920\) | 5.77134 | + | 1.54857i | 0.190275 | + | 0.0510547i | ||||
\(921\) | −4.99409 | + | 12.3608i | −0.164561 | + | 0.407303i | ||||
\(922\) | −5.25999 | + | 13.0189i | −0.173229 | + | 0.428756i | ||||
\(923\) | −2.91082 | + | 27.6946i | −0.0958109 | + | 0.911580i | ||||
\(924\) | −5.30725 | + | 9.19242i | −0.174596 | + | 0.302409i | ||||
\(925\) | −14.0551 | + | 48.8881i | −0.462128 | + | 1.60743i | ||||
\(926\) | −6.67608 | − | 37.8619i | −0.219390 | − | 1.24422i | ||||
\(927\) | −12.1966 | + | 11.7781i | −0.400588 | + | 0.386843i | ||||
\(928\) | −0.227297 | + | 6.50894i | −0.00746140 | + | 0.213667i | ||||
\(929\) | −15.8318 | − | 9.89283i | −0.519426 | − | 0.324573i | 0.244745 | − | 0.969588i | \(-0.421296\pi\) |
−0.764170 | + | 0.645014i | \(0.776851\pi\) | |||||||
\(930\) | −13.4061 | − | 6.83661i | −0.439605 | − | 0.224181i | ||||
\(931\) | 2.06509 | − | 0.802964i | 0.0676807 | − | 0.0263161i | ||||
\(932\) | −25.0384 | −0.820159 | ||||||||
\(933\) | −6.54182 | − | 16.1916i | −0.214169 | − | 0.530088i | ||||
\(934\) | −23.2089 | + | 6.65505i | −0.759419 | + | 0.217760i | ||||
\(935\) | −13.0677 | − | 18.6763i | −0.427358 | − | 0.610781i | ||||
\(936\) | 2.81479 | − | 5.77117i | 0.0920043 | − | 0.188637i | ||||
\(937\) | 9.61226 | − | 14.2508i | 0.314019 | − | 0.465552i | −0.638678 | − | 0.769474i | \(-0.720518\pi\) |
0.952697 | + | 0.303922i | \(0.0982962\pi\) | |||||||
\(938\) | −1.15510 | − | 10.9900i | −0.0377153 | − | 0.358837i | ||||
\(939\) | 2.90030 | − | 27.5945i | 0.0946477 | − | 0.900512i | ||||
\(940\) | −23.3623 | + | 2.03579i | −0.761994 | + | 0.0664001i | ||||
\(941\) | −34.7063 | − | 2.42690i | −1.13139 | − | 0.0791148i | −0.508241 | − | 0.861215i | \(-0.669704\pi\) |
−0.623153 | + | 0.782100i | \(0.714149\pi\) | |||||||
\(942\) | −20.6886 | + | 4.39750i | −0.674072 | + | 0.143278i | ||||
\(943\) | −1.64420 | + | 2.84783i | −0.0535424 | + | 0.0927382i | ||||
\(944\) | 0.416056 | + | 11.9143i | 0.0135415 | + | 0.387777i | ||||
\(945\) | −8.38473 | + | 27.3913i | −0.272755 | + | 0.891039i | ||||
\(946\) | 22.3905 | − | 3.14679i | 0.727979 | − | 0.102311i | ||||
\(947\) | 1.52713 | − | 43.7313i | 0.0496251 | − | 1.42108i | −0.677980 | − | 0.735080i | \(-0.737144\pi\) |
0.727605 | − | 0.685996i | \(-0.240633\pi\) | |||||||
\(948\) | 7.33162 | − | 0.512677i | 0.238120 | − | 0.0166510i | ||||
\(949\) | −23.1496 | −0.751467 | ||||||||
\(950\) | −11.9363 | − | 18.2352i | −0.387266 | − | 0.591629i | ||||
\(951\) | −4.91087 | −0.159246 | ||||||||
\(952\) | 6.27789 | − | 0.438993i | 0.203468 | − | 0.0142278i | ||||
\(953\) | 0.0412181 | − | 1.18033i | 0.00133519 | − | 0.0382347i | −0.998540 | − | 0.0540105i | \(-0.982800\pi\) |
0.999876 | + | 0.0157757i | \(0.00502179\pi\) | |||||||
\(954\) | −12.1805 | + | 1.71186i | −0.394359 | + | 0.0554235i | ||||
\(955\) | −2.26778 | − | 1.58909i | −0.0733838 | − | 0.0514217i | ||||
\(956\) | −0.209002 | − | 5.98503i | −0.00675961 | − | 0.193570i | ||||
\(957\) | 13.5664 | − | 23.4978i | 0.438541 | − | 0.759575i | ||||
\(958\) | −38.9168 | + | 8.27202i | −1.25734 | + | 0.267257i | ||||
\(959\) | 2.68573 | + | 0.187805i | 0.0867268 | + | 0.00606453i | ||||
\(960\) | 1.70402 | − | 1.48024i | 0.0549969 | − | 0.0477747i | ||||
\(961\) | −1.40591 | + | 13.3763i | −0.0453519 | + | 0.431494i | ||||
\(962\) | −3.44686 | − | 32.7947i | −0.111131 | − | 1.05734i | ||||
\(963\) | 13.0073 | − | 19.2841i | 0.419155 | − | 0.621423i | ||||
\(964\) | 1.71903 | − | 3.52453i | 0.0553662 | − | 0.113518i | ||||
\(965\) | −0.0163267 | + | 0.917164i | −0.000525574 | + | 0.0295246i | ||||
\(966\) | 6.60674 | − | 1.89445i | 0.212568 | − | 0.0609530i | ||||
\(967\) | −13.9718 | − | 34.5814i | −0.449302 | − | 1.11206i | −0.966608 | − | 0.256261i | \(-0.917509\pi\) |
0.517306 | − | 0.855801i | \(-0.326935\pi\) | |||||||
\(968\) | 6.03274 | 0.193900 | ||||||||
\(969\) | 2.11976 | + | 10.6593i | 0.0680965 | + | 0.342425i | ||||
\(970\) | −2.31997 | + | 14.6150i | −0.0744897 | + | 0.469258i | ||||
\(971\) | −26.2192 | − | 16.3836i | −0.841415 | − | 0.525775i | 0.0394061 | − | 0.999223i | \(-0.487453\pi\) |
−0.880821 | + | 0.473449i | \(0.843009\pi\) | |||||||
\(972\) | −0.556994 | + | 15.9502i | −0.0178656 | + | 0.511604i | ||||
\(973\) | 41.8620 | − | 40.4257i | 1.34203 | − | 1.29599i | ||||
\(974\) | −3.66453 | − | 20.7826i | −0.117419 | − | 0.665918i | ||||
\(975\) | 16.3495 | − | 0.559607i | 0.523604 | − | 0.0179218i | ||||
\(976\) | −0.498050 | + | 0.862647i | −0.0159422 | + | 0.0276127i | ||||
\(977\) | 3.40433 | − | 32.3901i | 0.108914 | − | 1.03625i | −0.794437 | − | 0.607347i | \(-0.792234\pi\) |
0.903351 | − | 0.428903i | \(-0.141100\pi\) | |||||||
\(978\) | −3.93158 | + | 9.73100i | −0.125718 | + | 0.311163i | ||||
\(979\) | 24.7439 | − | 61.2434i | 0.790820 | − | 1.95735i | ||||
\(980\) | 0.619385 | − | 0.953048i | 0.0197855 | − | 0.0304440i | ||||
\(981\) | 2.95227 | + | 3.27883i | 0.0942587 | + | 0.104685i | ||||
\(982\) | −1.11808 | + | 0.406948i | −0.0356794 | + | 0.0129862i | ||||
\(983\) | 1.77331 | + | 0.249223i | 0.0565599 | + | 0.00794897i | 0.167396 | − | 0.985890i | \(-0.446464\pi\) |
−0.110836 | + | 0.993839i | \(0.535353\pi\) | |||||||
\(984\) | 0.544523 | + | 1.11644i | 0.0173587 | + | 0.0355907i | ||||
\(985\) | −2.62775 | − | 21.4627i | −0.0837271 | − | 0.683859i | ||||
\(986\) | −16.0476 | + | 1.12216i | −0.511060 | + | 0.0357368i | ||||
\(987\) | −21.8217 | + | 15.8544i | −0.694591 | + | 0.504650i | ||||
\(988\) | 11.6080 | + | 8.05356i | 0.369301 | + | 0.256218i | ||||
\(989\) | −11.8445 | − | 8.60551i | −0.376632 | − | 0.273639i | ||||
\(990\) | 17.8147 | − | 4.10636i | 0.566189 | − | 0.130509i | ||||
\(991\) | −55.3603 | + | 15.8743i | −1.75858 | + | 0.504264i | −0.990669 | − | 0.136293i | \(-0.956481\pi\) |
−0.767910 | + | 0.640557i | \(0.778703\pi\) | |||||||
\(992\) | −5.88669 | − | 3.13001i | −0.186902 | − | 0.0993778i | ||||
\(993\) | 0.127307 | + | 0.721996i | 0.00403998 | + | 0.0229119i | ||||
\(994\) | −0.763956 | − | 21.8768i | −0.0242312 | − | 0.693891i | ||||
\(995\) | −11.7628 | + | 30.6115i | −0.372906 | + | 0.970449i | ||||
\(996\) | 2.72081 | − | 3.02177i | 0.0862122 | − | 0.0957483i | ||||
\(997\) | 9.11649 | − | 22.5641i | 0.288722 | − | 0.714613i | −0.711210 | − | 0.702979i | \(-0.751853\pi\) |
0.999932 | − | 0.0116330i | \(-0.00370300\pi\) | |||||||
\(998\) | −7.25071 | − | 29.0810i | −0.229517 | − | 0.920543i | ||||
\(999\) | 25.5768 | + | 44.3004i | 0.809215 | + | 1.40160i |
(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 | 950.2.bc.a.291.9 | yes | 600 | |
19.16 | even | 9 | inner | 950.2.bc.a.491.17 | yes | 600 | |
25.11 | even | 5 | inner | 950.2.bc.a.861.17 | yes | 600 | |
475.111 | even | 45 | inner | 950.2.bc.a.111.9 | ✓ | 600 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bc.a.111.9 | ✓ | 600 | 475.111 | even | 45 | inner | |
950.2.bc.a.291.9 | yes | 600 | 1.1 | even | 1 | trivial | |
950.2.bc.a.491.17 | yes | 600 | 19.16 | even | 9 | inner | |
950.2.bc.a.861.17 | yes | 600 | 25.11 | even | 5 | inner |