Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(373,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.373");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.e (of order \(3\), degree \(2\), not 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 373.1 | ||
Root | \(-1.22474 - 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.373 |
Dual form | 882.2.e.n.655.1 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −0.724745 | + | 1.57313i | −0.418432 | + | 0.908248i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 1.72474 | + | 2.98735i | 0.771329 | + | 1.33598i | 0.936835 | + | 0.349773i | \(0.113741\pi\) |
−0.165505 | + | 0.986209i | \(0.552925\pi\) | |||||||
\(6\) | −0.724745 | + | 1.57313i | −0.295876 | + | 0.642229i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −1.94949 | − | 2.28024i | −0.649830 | − | 0.760080i | ||||
\(10\) | 1.72474 | + | 2.98735i | 0.545412 | + | 0.944682i | ||||
\(11\) | −1.00000 | + | 1.73205i | −0.301511 | + | 0.522233i | −0.976478 | − | 0.215615i | \(-0.930824\pi\) |
0.674967 | + | 0.737848i | \(0.264158\pi\) | |||||||
\(12\) | −0.724745 | + | 1.57313i | −0.209216 | + | 0.454124i | ||||
\(13\) | −2.44949 | + | 4.24264i | −0.679366 | + | 1.17670i | 0.295806 | + | 0.955248i | \(0.404412\pi\) |
−0.975172 | + | 0.221449i | \(0.928921\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.94949 | + | 0.548188i | −1.53615 | + | 0.141542i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 1.00000 | + | 1.73205i | 0.242536 | + | 0.420084i | 0.961436 | − | 0.275029i | \(-0.0886875\pi\) |
−0.718900 | + | 0.695113i | \(0.755354\pi\) | |||||||
\(18\) | −1.94949 | − | 2.28024i | −0.459499 | − | 0.537457i | ||||
\(19\) | 3.72474 | − | 6.45145i | 0.854515 | − | 1.48006i | −0.0225791 | − | 0.999745i | \(-0.507188\pi\) |
0.877094 | − | 0.480318i | \(-0.159479\pi\) | |||||||
\(20\) | 1.72474 | + | 2.98735i | 0.385665 | + | 0.667991i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.00000 | + | 1.73205i | −0.213201 | + | 0.369274i | ||||
\(23\) | 0.500000 | + | 0.866025i | 0.104257 | + | 0.180579i | 0.913434 | − | 0.406986i | \(-0.133420\pi\) |
−0.809177 | + | 0.587565i | \(0.800087\pi\) | |||||||
\(24\) | −0.724745 | + | 1.57313i | −0.147938 | + | 0.321114i | ||||
\(25\) | −3.44949 | + | 5.97469i | −0.689898 | + | 1.19494i | ||||
\(26\) | −2.44949 | + | 4.24264i | −0.480384 | + | 0.832050i | ||||
\(27\) | 5.00000 | − | 1.41421i | 0.962250 | − | 0.272166i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.44949 | − | 2.51059i | −0.269163 | − | 0.466205i | 0.699483 | − | 0.714650i | \(-0.253414\pi\) |
−0.968646 | + | 0.248445i | \(0.920081\pi\) | |||||||
\(30\) | −5.94949 | + | 0.548188i | −1.08622 | + | 0.100085i | ||||
\(31\) | −6.00000 | −1.07763 | −0.538816 | − | 0.842424i | \(-0.681128\pi\) | ||||
−0.538816 | + | 0.842424i | \(0.681128\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −2.00000 | − | 2.82843i | −0.348155 | − | 0.492366i | ||||
\(34\) | 1.00000 | + | 1.73205i | 0.171499 | + | 0.297044i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.94949 | − | 2.28024i | −0.324915 | − | 0.380040i | ||||
\(37\) | 3.89898 | − | 6.75323i | 0.640988 | − | 1.11022i | −0.344224 | − | 0.938887i | \(-0.611858\pi\) |
0.985213 | − | 0.171337i | \(-0.0548086\pi\) | |||||||
\(38\) | 3.72474 | − | 6.45145i | 0.604233 | − | 1.04656i | ||||
\(39\) | −4.89898 | − | 6.92820i | −0.784465 | − | 1.10940i | ||||
\(40\) | 1.72474 | + | 2.98735i | 0.272706 | + | 0.472341i | ||||
\(41\) | −4.89898 | + | 8.48528i | −0.765092 | + | 1.32518i | 0.175106 | + | 0.984550i | \(0.443973\pi\) |
−0.940198 | + | 0.340629i | \(0.889360\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.44949 | + | 2.51059i | 0.221045 | + | 0.382861i | 0.955126 | − | 0.296201i | \(-0.0957199\pi\) |
−0.734080 | + | 0.679062i | \(0.762387\pi\) | |||||||
\(44\) | −1.00000 | + | 1.73205i | −0.150756 | + | 0.261116i | ||||
\(45\) | 3.44949 | − | 9.75663i | 0.514220 | − | 1.45443i | ||||
\(46\) | 0.500000 | + | 0.866025i | 0.0737210 | + | 0.127688i | ||||
\(47\) | 9.79796 | 1.42918 | 0.714590 | − | 0.699544i | \(-0.246613\pi\) | ||||
0.714590 | + | 0.699544i | \(0.246613\pi\) | |||||||
\(48\) | −0.724745 | + | 1.57313i | −0.104608 | + | 0.227062i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −3.44949 | + | 5.97469i | −0.487832 | + | 0.844949i | ||||
\(51\) | −3.44949 | + | 0.317837i | −0.483025 | + | 0.0445061i | ||||
\(52\) | −2.44949 | + | 4.24264i | −0.339683 | + | 0.588348i | ||||
\(53\) | 0.550510 | + | 0.953512i | 0.0756184 | + | 0.130975i | 0.901355 | − | 0.433081i | \(-0.142574\pi\) |
−0.825737 | + | 0.564056i | \(0.809240\pi\) | |||||||
\(54\) | 5.00000 | − | 1.41421i | 0.680414 | − | 0.192450i | ||||
\(55\) | −6.89898 | −0.930258 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.44949 | + | 10.5352i | 0.986709 | + | 1.39542i | ||||
\(58\) | −1.44949 | − | 2.51059i | −0.190327 | − | 0.329657i | ||||
\(59\) | 2.00000 | 0.260378 | 0.130189 | − | 0.991489i | \(-0.458442\pi\) | ||||
0.130189 | + | 0.991489i | \(0.458442\pi\) | |||||||
\(60\) | −5.94949 | + | 0.548188i | −0.768076 | + | 0.0707708i | ||||
\(61\) | −11.4495 | −1.46596 | −0.732978 | − | 0.680252i | \(-0.761870\pi\) | ||||
−0.732978 | + | 0.680252i | \(0.761870\pi\) | |||||||
\(62\) | −6.00000 | −0.762001 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −16.8990 | −2.09606 | ||||||||
\(66\) | −2.00000 | − | 2.82843i | −0.246183 | − | 0.348155i | ||||
\(67\) | −3.10102 | −0.378850 | −0.189425 | − | 0.981895i | \(-0.560662\pi\) | ||||
−0.189425 | + | 0.981895i | \(0.560662\pi\) | |||||||
\(68\) | 1.00000 | + | 1.73205i | 0.121268 | + | 0.210042i | ||||
\(69\) | −1.72474 | + | 0.158919i | −0.207635 | + | 0.0191316i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.89898 | 1.17479 | 0.587396 | − | 0.809299i | \(-0.300153\pi\) | ||||
0.587396 | + | 0.809299i | \(0.300153\pi\) | |||||||
\(72\) | −1.94949 | − | 2.28024i | −0.229750 | − | 0.268729i | ||||
\(73\) | 1.44949 | + | 2.51059i | 0.169650 | + | 0.293842i | 0.938297 | − | 0.345831i | \(-0.112403\pi\) |
−0.768647 | + | 0.639673i | \(0.779070\pi\) | |||||||
\(74\) | 3.89898 | − | 6.75323i | 0.453247 | − | 0.785047i | ||||
\(75\) | −6.89898 | − | 9.75663i | −0.796626 | − | 1.12660i | ||||
\(76\) | 3.72474 | − | 6.45145i | 0.427258 | − | 0.740032i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −4.89898 | − | 6.92820i | −0.554700 | − | 0.784465i | ||||
\(79\) | 7.89898 | 0.888705 | 0.444352 | − | 0.895852i | \(-0.353434\pi\) | ||||
0.444352 | + | 0.895852i | \(0.353434\pi\) | |||||||
\(80\) | 1.72474 | + | 2.98735i | 0.192832 | + | 0.333995i | ||||
\(81\) | −1.39898 | + | 8.89060i | −0.155442 | + | 0.987845i | ||||
\(82\) | −4.89898 | + | 8.48528i | −0.541002 | + | 0.937043i | ||||
\(83\) | 1.00000 | + | 1.73205i | 0.109764 | + | 0.190117i | 0.915675 | − | 0.401920i | \(-0.131657\pi\) |
−0.805910 | + | 0.592037i | \(0.798324\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.44949 | + | 5.97469i | −0.374150 | + | 0.648046i | ||||
\(86\) | 1.44949 | + | 2.51059i | 0.156302 | + | 0.270724i | ||||
\(87\) | 5.00000 | − | 0.460702i | 0.536056 | − | 0.0493924i | ||||
\(88\) | −1.00000 | + | 1.73205i | −0.106600 | + | 0.184637i | ||||
\(89\) | −3.55051 | + | 6.14966i | −0.376353 | + | 0.651863i | −0.990529 | − | 0.137307i | \(-0.956155\pi\) |
0.614175 | + | 0.789170i | \(0.289489\pi\) | |||||||
\(90\) | 3.44949 | − | 9.75663i | 0.363608 | − | 1.02844i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.500000 | + | 0.866025i | 0.0521286 | + | 0.0902894i | ||||
\(93\) | 4.34847 | − | 9.43879i | 0.450915 | − | 0.978757i | ||||
\(94\) | 9.79796 | 1.01058 | ||||||||
\(95\) | 25.6969 | 2.63645 | ||||||||
\(96\) | −0.724745 | + | 1.57313i | −0.0739690 | + | 0.160557i | ||||
\(97\) | −3.44949 | − | 5.97469i | −0.350243 | − | 0.606638i | 0.636049 | − | 0.771649i | \(-0.280568\pi\) |
−0.986292 | + | 0.165011i | \(0.947234\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.89898 | − | 1.09638i | 0.592870 | − | 0.110190i | ||||
\(100\) | −3.44949 | + | 5.97469i | −0.344949 | + | 0.597469i | ||||
\(101\) | 3.62372 | − | 6.27647i | 0.360574 | − | 0.624533i | −0.627481 | − | 0.778632i | \(-0.715914\pi\) |
0.988055 | + | 0.154099i | \(0.0492475\pi\) | |||||||
\(102\) | −3.44949 | + | 0.317837i | −0.341550 | + | 0.0314706i | ||||
\(103\) | 7.00000 | + | 12.1244i | 0.689730 | + | 1.19465i | 0.971925 | + | 0.235291i | \(0.0756043\pi\) |
−0.282194 | + | 0.959357i | \(0.591062\pi\) | |||||||
\(104\) | −2.44949 | + | 4.24264i | −0.240192 | + | 0.416025i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.550510 | + | 0.953512i | 0.0534703 | + | 0.0926132i | ||||
\(107\) | 6.00000 | − | 10.3923i | 0.580042 | − | 1.00466i | −0.415432 | − | 0.909624i | \(-0.636370\pi\) |
0.995474 | − | 0.0950377i | \(-0.0302972\pi\) | |||||||
\(108\) | 5.00000 | − | 1.41421i | 0.481125 | − | 0.136083i | ||||
\(109\) | 8.34847 | + | 14.4600i | 0.799638 | + | 1.38501i | 0.919852 | + | 0.392266i | \(0.128309\pi\) |
−0.120213 | + | 0.992748i | \(0.538358\pi\) | |||||||
\(110\) | −6.89898 | −0.657792 | ||||||||
\(111\) | 7.79796 | + | 11.0280i | 0.740150 | + | 1.04673i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.94949 | − | 13.7689i | 0.747825 | − | 1.29527i | −0.201038 | − | 0.979583i | \(-0.564431\pi\) |
0.948863 | − | 0.315688i | \(-0.102235\pi\) | |||||||
\(114\) | 7.44949 | + | 10.5352i | 0.697709 | + | 0.986709i | ||||
\(115\) | −1.72474 | + | 2.98735i | −0.160833 | + | 0.278571i | ||||
\(116\) | −1.44949 | − | 2.51059i | −0.134582 | − | 0.233102i | ||||
\(117\) | 14.4495 | − | 2.68556i | 1.33586 | − | 0.248280i | ||||
\(118\) | 2.00000 | 0.184115 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.94949 | + | 0.548188i | −0.543112 | + | 0.0500425i | ||||
\(121\) | 3.50000 | + | 6.06218i | 0.318182 | + | 0.551107i | ||||
\(122\) | −11.4495 | −1.03659 | ||||||||
\(123\) | −9.79796 | − | 13.8564i | −0.883452 | − | 1.24939i | ||||
\(124\) | −6.00000 | −0.538816 | ||||||||
\(125\) | −6.55051 | −0.585895 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.00000 | −0.266207 | −0.133103 | − | 0.991102i | \(-0.542494\pi\) | ||||
−0.133103 | + | 0.991102i | \(0.542494\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −5.00000 | + | 0.460702i | −0.440225 | + | 0.0405625i | ||||
\(130\) | −16.8990 | −1.48214 | ||||||||
\(131\) | −6.72474 | − | 11.6476i | −0.587544 | − | 1.01766i | −0.994553 | − | 0.104232i | \(-0.966762\pi\) |
0.407009 | − | 0.913424i | \(-0.366572\pi\) | |||||||
\(132\) | −2.00000 | − | 2.82843i | −0.174078 | − | 0.246183i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −3.10102 | −0.267887 | ||||||||
\(135\) | 12.8485 | + | 12.4976i | 1.10582 | + | 1.07562i | ||||
\(136\) | 1.00000 | + | 1.73205i | 0.0857493 | + | 0.148522i | ||||
\(137\) | 5.89898 | − | 10.2173i | 0.503984 | − | 0.872926i | −0.496006 | − | 0.868319i | \(-0.665200\pi\) |
0.999989 | − | 0.00460626i | \(-0.00146622\pi\) | |||||||
\(138\) | −1.72474 | + | 0.158919i | −0.146820 | + | 0.0135281i | ||||
\(139\) | 4.72474 | − | 8.18350i | 0.400748 | − | 0.694115i | −0.593069 | − | 0.805152i | \(-0.702084\pi\) |
0.993816 | + | 0.111037i | \(0.0354171\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.10102 | + | 15.4135i | −0.598014 | + | 1.29805i | ||||
\(142\) | 9.89898 | 0.830704 | ||||||||
\(143\) | −4.89898 | − | 8.48528i | −0.409673 | − | 0.709575i | ||||
\(144\) | −1.94949 | − | 2.28024i | −0.162457 | − | 0.190020i | ||||
\(145\) | 5.00000 | − | 8.66025i | 0.415227 | − | 0.719195i | ||||
\(146\) | 1.44949 | + | 2.51059i | 0.119961 | + | 0.207778i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.89898 | − | 6.75323i | 0.320494 | − | 0.555112i | ||||
\(149\) | 3.00000 | + | 5.19615i | 0.245770 | + | 0.425685i | 0.962348 | − | 0.271821i | \(-0.0876260\pi\) |
−0.716578 | + | 0.697507i | \(0.754293\pi\) | |||||||
\(150\) | −6.89898 | − | 9.75663i | −0.563299 | − | 0.796626i | ||||
\(151\) | 2.50000 | − | 4.33013i | 0.203447 | − | 0.352381i | −0.746190 | − | 0.665733i | \(-0.768119\pi\) |
0.949637 | + | 0.313353i | \(0.101452\pi\) | |||||||
\(152\) | 3.72474 | − | 6.45145i | 0.302117 | − | 0.523281i | ||||
\(153\) | 2.00000 | − | 5.65685i | 0.161690 | − | 0.457330i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −10.3485 | − | 17.9241i | −0.831209 | − | 1.43970i | ||||
\(156\) | −4.89898 | − | 6.92820i | −0.392232 | − | 0.554700i | ||||
\(157\) | −6.34847 | −0.506663 | −0.253332 | − | 0.967380i | \(-0.581526\pi\) | ||||
−0.253332 | + | 0.967380i | \(0.581526\pi\) | |||||||
\(158\) | 7.89898 | 0.628409 | ||||||||
\(159\) | −1.89898 | + | 0.174973i | −0.150599 | + | 0.0138762i | ||||
\(160\) | 1.72474 | + | 2.98735i | 0.136353 | + | 0.236170i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −1.39898 | + | 8.89060i | −0.109914 | + | 0.698512i | ||||
\(163\) | 0.101021 | − | 0.174973i | 0.00791254 | − | 0.0137049i | −0.862042 | − | 0.506837i | \(-0.830815\pi\) |
0.869955 | + | 0.493132i | \(0.164148\pi\) | |||||||
\(164\) | −4.89898 | + | 8.48528i | −0.382546 | + | 0.662589i | ||||
\(165\) | 5.00000 | − | 10.8530i | 0.389249 | − | 0.844905i | ||||
\(166\) | 1.00000 | + | 1.73205i | 0.0776151 | + | 0.134433i | ||||
\(167\) | 9.34847 | − | 16.1920i | 0.723406 | − | 1.25298i | −0.236220 | − | 0.971700i | \(-0.575909\pi\) |
0.959627 | − | 0.281277i | \(-0.0907579\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.50000 | − | 9.52628i | −0.423077 | − | 0.732791i | ||||
\(170\) | −3.44949 | + | 5.97469i | −0.264564 | + | 0.458238i | ||||
\(171\) | −21.9722 | + | 4.08372i | −1.68026 | + | 0.312290i | ||||
\(172\) | 1.44949 | + | 2.51059i | 0.110523 | + | 0.191431i | ||||
\(173\) | 12.8990 | 0.980691 | 0.490346 | − | 0.871528i | \(-0.336871\pi\) | ||||
0.490346 | + | 0.871528i | \(0.336871\pi\) | |||||||
\(174\) | 5.00000 | − | 0.460702i | 0.379049 | − | 0.0349257i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.00000 | + | 1.73205i | −0.0753778 | + | 0.130558i | ||||
\(177\) | −1.44949 | + | 3.14626i | −0.108950 | + | 0.236488i | ||||
\(178\) | −3.55051 | + | 6.14966i | −0.266122 | + | 0.460937i | ||||
\(179\) | 4.34847 | + | 7.53177i | 0.325020 | + | 0.562951i | 0.981516 | − | 0.191378i | \(-0.0612957\pi\) |
−0.656497 | + | 0.754329i | \(0.727962\pi\) | |||||||
\(180\) | 3.44949 | − | 9.75663i | 0.257110 | − | 0.727216i | ||||
\(181\) | −4.34847 | −0.323219 | −0.161610 | − | 0.986855i | \(-0.551669\pi\) | ||||
−0.161610 | + | 0.986855i | \(0.551669\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.29796 | − | 18.0116i | 0.613403 | − | 1.33145i | ||||
\(184\) | 0.500000 | + | 0.866025i | 0.0368605 | + | 0.0638442i | ||||
\(185\) | 26.8990 | 1.97765 | ||||||||
\(186\) | 4.34847 | − | 9.43879i | 0.318845 | − | 0.692086i | ||||
\(187\) | −4.00000 | −0.292509 | ||||||||
\(188\) | 9.79796 | 0.714590 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 25.6969 | 1.86425 | ||||||||
\(191\) | 13.8990 | 1.00569 | 0.502847 | − | 0.864375i | \(-0.332286\pi\) | ||||
0.502847 | + | 0.864375i | \(0.332286\pi\) | |||||||
\(192\) | −0.724745 | + | 1.57313i | −0.0523040 | + | 0.113531i | ||||
\(193\) | −8.10102 | −0.583124 | −0.291562 | − | 0.956552i | \(-0.594175\pi\) | ||||
−0.291562 | + | 0.956552i | \(0.594175\pi\) | |||||||
\(194\) | −3.44949 | − | 5.97469i | −0.247659 | − | 0.428958i | ||||
\(195\) | 12.2474 | − | 26.5843i | 0.877058 | − | 1.90374i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −12.6969 | −0.904619 | −0.452310 | − | 0.891861i | \(-0.649400\pi\) | ||||
−0.452310 | + | 0.891861i | \(0.649400\pi\) | |||||||
\(198\) | 5.89898 | − | 1.09638i | 0.419222 | − | 0.0779161i | ||||
\(199\) | 3.44949 | + | 5.97469i | 0.244528 | + | 0.423535i | 0.961999 | − | 0.273054i | \(-0.0880337\pi\) |
−0.717471 | + | 0.696588i | \(0.754700\pi\) | |||||||
\(200\) | −3.44949 | + | 5.97469i | −0.243916 | + | 0.422474i | ||||
\(201\) | 2.24745 | − | 4.87832i | 0.158523 | − | 0.344090i | ||||
\(202\) | 3.62372 | − | 6.27647i | 0.254964 | − | 0.441611i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.44949 | + | 0.317837i | −0.241513 | + | 0.0222531i | ||||
\(205\) | −33.7980 | −2.36055 | ||||||||
\(206\) | 7.00000 | + | 12.1244i | 0.487713 | + | 0.844744i | ||||
\(207\) | 1.00000 | − | 2.82843i | 0.0695048 | − | 0.196589i | ||||
\(208\) | −2.44949 | + | 4.24264i | −0.169842 | + | 0.294174i | ||||
\(209\) | 7.44949 | + | 12.9029i | 0.515292 | + | 0.892512i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.55051 | + | 2.68556i | −0.106742 | + | 0.184882i | −0.914448 | − | 0.404703i | \(-0.867375\pi\) |
0.807707 | + | 0.589584i | \(0.200708\pi\) | |||||||
\(212\) | 0.550510 | + | 0.953512i | 0.0378092 | + | 0.0654875i | ||||
\(213\) | −7.17423 | + | 15.5724i | −0.491570 | + | 1.06700i | ||||
\(214\) | 6.00000 | − | 10.3923i | 0.410152 | − | 0.710403i | ||||
\(215\) | −5.00000 | + | 8.66025i | −0.340997 | + | 0.590624i | ||||
\(216\) | 5.00000 | − | 1.41421i | 0.340207 | − | 0.0962250i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 8.34847 | + | 14.4600i | 0.565430 | + | 0.979353i | ||||
\(219\) | −5.00000 | + | 0.460702i | −0.337869 | + | 0.0311313i | ||||
\(220\) | −6.89898 | −0.465129 | ||||||||
\(221\) | −9.79796 | −0.659082 | ||||||||
\(222\) | 7.79796 | + | 11.0280i | 0.523365 | + | 0.740150i | ||||
\(223\) | −10.4495 | − | 18.0990i | −0.699750 | − | 1.21200i | −0.968553 | − | 0.248807i | \(-0.919962\pi\) |
0.268804 | − | 0.963195i | \(-0.413372\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 20.3485 | − | 3.78194i | 1.35656 | − | 0.252129i | ||||
\(226\) | 7.94949 | − | 13.7689i | 0.528792 | − | 0.915895i | ||||
\(227\) | −0.275255 | + | 0.476756i | −0.0182693 | + | 0.0316434i | −0.875016 | − | 0.484095i | \(-0.839149\pi\) |
0.856746 | + | 0.515738i | \(0.172482\pi\) | |||||||
\(228\) | 7.44949 | + | 10.5352i | 0.493355 | + | 0.697709i | ||||
\(229\) | −11.6237 | − | 20.1329i | −0.768117 | − | 1.33042i | −0.938583 | − | 0.345055i | \(-0.887860\pi\) |
0.170465 | − | 0.985364i | \(-0.445473\pi\) | |||||||
\(230\) | −1.72474 | + | 2.98735i | −0.113726 | + | 0.196980i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.44949 | − | 2.51059i | −0.0951637 | − | 0.164828i | ||||
\(233\) | 3.50000 | − | 6.06218i | 0.229293 | − | 0.397146i | −0.728306 | − | 0.685252i | \(-0.759692\pi\) |
0.957599 | + | 0.288106i | \(0.0930254\pi\) | |||||||
\(234\) | 14.4495 | − | 2.68556i | 0.944593 | − | 0.175561i | ||||
\(235\) | 16.8990 | + | 29.2699i | 1.10237 | + | 1.90936i | ||||
\(236\) | 2.00000 | 0.130189 | ||||||||
\(237\) | −5.72474 | + | 12.4261i | −0.371862 | + | 0.807164i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.39898 | − | 11.0834i | 0.413916 | − | 0.716923i | −0.581398 | − | 0.813619i | \(-0.697494\pi\) |
0.995314 | + | 0.0966962i | \(0.0308275\pi\) | |||||||
\(240\) | −5.94949 | + | 0.548188i | −0.384038 | + | 0.0353854i | ||||
\(241\) | −4.44949 | + | 7.70674i | −0.286617 | + | 0.496435i | −0.973000 | − | 0.230805i | \(-0.925864\pi\) |
0.686383 | + | 0.727240i | \(0.259197\pi\) | |||||||
\(242\) | 3.50000 | + | 6.06218i | 0.224989 | + | 0.389692i | ||||
\(243\) | −12.9722 | − | 8.64420i | −0.832167 | − | 0.554526i | ||||
\(244\) | −11.4495 | −0.732978 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −9.79796 | − | 13.8564i | −0.624695 | − | 0.883452i | ||||
\(247\) | 18.2474 | + | 31.6055i | 1.16106 | + | 2.01101i | ||||
\(248\) | −6.00000 | −0.381000 | ||||||||
\(249\) | −3.44949 | + | 0.317837i | −0.218603 | + | 0.0201421i | ||||
\(250\) | −6.55051 | −0.414291 | ||||||||
\(251\) | −12.5505 | −0.792181 | −0.396091 | − | 0.918211i | \(-0.629633\pi\) | ||||
−0.396091 | + | 0.918211i | \(0.629633\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.00000 | −0.125739 | ||||||||
\(254\) | −3.00000 | −0.188237 | ||||||||
\(255\) | −6.89898 | − | 9.75663i | −0.432031 | − | 0.610984i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 13.8990 | + | 24.0737i | 0.866995 | + | 1.50168i | 0.865053 | + | 0.501680i | \(0.167285\pi\) |
0.00194150 | + | 0.999998i | \(0.499382\pi\) | |||||||
\(258\) | −5.00000 | + | 0.460702i | −0.311286 | + | 0.0286820i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −16.8990 | −1.04803 | ||||||||
\(261\) | −2.89898 | + | 8.19955i | −0.179442 | + | 0.507540i | ||||
\(262\) | −6.72474 | − | 11.6476i | −0.415456 | − | 0.719591i | ||||
\(263\) | −8.05051 | + | 13.9439i | −0.496416 | + | 0.859817i | −0.999991 | − | 0.00413383i | \(-0.998684\pi\) |
0.503576 | + | 0.863951i | \(0.332017\pi\) | |||||||
\(264\) | −2.00000 | − | 2.82843i | −0.123091 | − | 0.174078i | ||||
\(265\) | −1.89898 | + | 3.28913i | −0.116653 | + | 0.202050i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −7.10102 | − | 10.0424i | −0.434575 | − | 0.614582i | ||||
\(268\) | −3.10102 | −0.189425 | ||||||||
\(269\) | −1.82577 | − | 3.16232i | −0.111319 | − | 0.192810i | 0.804983 | − | 0.593297i | \(-0.202174\pi\) |
−0.916302 | + | 0.400487i | \(0.868841\pi\) | |||||||
\(270\) | 12.8485 | + | 12.4976i | 0.781933 | + | 0.760578i | ||||
\(271\) | 8.44949 | − | 14.6349i | 0.513270 | − | 0.889010i | −0.486612 | − | 0.873618i | \(-0.661767\pi\) |
0.999882 | − | 0.0153912i | \(-0.00489937\pi\) | |||||||
\(272\) | 1.00000 | + | 1.73205i | 0.0606339 | + | 0.105021i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.89898 | − | 10.2173i | 0.356370 | − | 0.617252i | ||||
\(275\) | −6.89898 | − | 11.9494i | −0.416024 | − | 0.720575i | ||||
\(276\) | −1.72474 | + | 0.158919i | −0.103817 | + | 0.00956578i | ||||
\(277\) | −5.34847 | + | 9.26382i | −0.321358 | + | 0.556609i | −0.980769 | − | 0.195174i | \(-0.937473\pi\) |
0.659410 | + | 0.751783i | \(0.270806\pi\) | |||||||
\(278\) | 4.72474 | − | 8.18350i | 0.283371 | − | 0.490814i | ||||
\(279\) | 11.6969 | + | 13.6814i | 0.700277 | + | 0.819086i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.50000 | + | 16.4545i | 0.566722 | + | 0.981592i | 0.996887 | + | 0.0788417i | \(0.0251222\pi\) |
−0.430165 | + | 0.902750i | \(0.641545\pi\) | |||||||
\(282\) | −7.10102 | + | 15.4135i | −0.422860 | + | 0.917860i | ||||
\(283\) | 20.5505 | 1.22160 | 0.610801 | − | 0.791785i | \(-0.290848\pi\) | ||||
0.610801 | + | 0.791785i | \(0.290848\pi\) | |||||||
\(284\) | 9.89898 | 0.587396 | ||||||||
\(285\) | −18.6237 | + | 40.4247i | −1.10317 | + | 2.39455i | ||||
\(286\) | −4.89898 | − | 8.48528i | −0.289683 | − | 0.501745i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −1.94949 | − | 2.28024i | −0.114875 | − | 0.134364i | ||||
\(289\) | 6.50000 | − | 11.2583i | 0.382353 | − | 0.662255i | ||||
\(290\) | 5.00000 | − | 8.66025i | 0.293610 | − | 0.508548i | ||||
\(291\) | 11.8990 | − | 1.09638i | 0.697531 | − | 0.0642707i | ||||
\(292\) | 1.44949 | + | 2.51059i | 0.0848250 | + | 0.146921i | ||||
\(293\) | 13.6237 | − | 23.5970i | 0.795906 | − | 1.37855i | −0.126356 | − | 0.991985i | \(-0.540328\pi\) |
0.922262 | − | 0.386565i | \(-0.126339\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.44949 | + | 5.97469i | 0.200837 | + | 0.347860i | ||||
\(296\) | 3.89898 | − | 6.75323i | 0.226624 | − | 0.392524i | ||||
\(297\) | −2.55051 | + | 10.0745i | −0.147996 | + | 0.584580i | ||||
\(298\) | 3.00000 | + | 5.19615i | 0.173785 | + | 0.301005i | ||||
\(299\) | −4.89898 | −0.283315 | ||||||||
\(300\) | −6.89898 | − | 9.75663i | −0.398313 | − | 0.563299i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 2.50000 | − | 4.33013i | 0.143859 | − | 0.249171i | ||||
\(303\) | 7.24745 | + | 10.2494i | 0.416355 | + | 0.588815i | ||||
\(304\) | 3.72474 | − | 6.45145i | 0.213629 | − | 0.370016i | ||||
\(305\) | −19.7474 | − | 34.2036i | −1.13074 | − | 1.95849i | ||||
\(306\) | 2.00000 | − | 5.65685i | 0.114332 | − | 0.323381i | ||||
\(307\) | −0.752551 | −0.0429504 | −0.0214752 | − | 0.999769i | \(-0.506836\pi\) | ||||
−0.0214752 | + | 0.999769i | \(0.506836\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −24.1464 | + | 2.22486i | −1.37364 | + | 0.126568i | ||||
\(310\) | −10.3485 | − | 17.9241i | −0.587754 | − | 1.01802i | ||||
\(311\) | −1.30306 | −0.0738898 | −0.0369449 | − | 0.999317i | \(-0.511763\pi\) | ||||
−0.0369449 | + | 0.999317i | \(0.511763\pi\) | |||||||
\(312\) | −4.89898 | − | 6.92820i | −0.277350 | − | 0.392232i | ||||
\(313\) | −24.6969 | −1.39595 | −0.697977 | − | 0.716120i | \(-0.745916\pi\) | ||||
−0.697977 | + | 0.716120i | \(0.745916\pi\) | |||||||
\(314\) | −6.34847 | −0.358265 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.89898 | 0.444352 | ||||||||
\(317\) | −8.69694 | −0.488469 | −0.244234 | − | 0.969716i | \(-0.578537\pi\) | ||||
−0.244234 | + | 0.969716i | \(0.578537\pi\) | |||||||
\(318\) | −1.89898 | + | 0.174973i | −0.106489 | + | 0.00981198i | ||||
\(319\) | 5.79796 | 0.324623 | ||||||||
\(320\) | 1.72474 | + | 2.98735i | 0.0964162 | + | 0.166998i | ||||
\(321\) | 12.0000 | + | 16.9706i | 0.669775 | + | 0.947204i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 14.8990 | 0.829001 | ||||||||
\(324\) | −1.39898 | + | 8.89060i | −0.0777211 | + | 0.493922i | ||||
\(325\) | −16.8990 | − | 29.2699i | −0.937387 | − | 1.62360i | ||||
\(326\) | 0.101021 | − | 0.174973i | 0.00559501 | − | 0.00969084i | ||||
\(327\) | −28.7980 | + | 2.65345i | −1.59253 | + | 0.146736i | ||||
\(328\) | −4.89898 | + | 8.48528i | −0.270501 | + | 0.468521i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 5.00000 | − | 10.8530i | 0.275241 | − | 0.597438i | ||||
\(331\) | −24.6969 | −1.35747 | −0.678733 | − | 0.734385i | \(-0.737471\pi\) | ||||
−0.678733 | + | 0.734385i | \(0.737471\pi\) | |||||||
\(332\) | 1.00000 | + | 1.73205i | 0.0548821 | + | 0.0950586i | ||||
\(333\) | −23.0000 | + | 4.27475i | −1.26039 | + | 0.234255i | ||||
\(334\) | 9.34847 | − | 16.1920i | 0.511525 | − | 0.885988i | ||||
\(335\) | −5.34847 | − | 9.26382i | −0.292218 | − | 0.506137i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.6969 | + | 30.6520i | −0.964014 | + | 1.66972i | −0.251772 | + | 0.967787i | \(0.581013\pi\) |
−0.712242 | + | 0.701934i | \(0.752320\pi\) | |||||||
\(338\) | −5.50000 | − | 9.52628i | −0.299161 | − | 0.518161i | ||||
\(339\) | 15.8990 | + | 22.4846i | 0.863514 | + | 1.22119i | ||||
\(340\) | −3.44949 | + | 5.97469i | −0.187075 | + | 0.324023i | ||||
\(341\) | 6.00000 | − | 10.3923i | 0.324918 | − | 0.562775i | ||||
\(342\) | −21.9722 | + | 4.08372i | −1.18812 | + | 0.220822i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1.44949 | + | 2.51059i | 0.0781512 | + | 0.135362i | ||||
\(345\) | −3.44949 | − | 4.87832i | −0.185714 | − | 0.262640i | ||||
\(346\) | 12.8990 | 0.693453 | ||||||||
\(347\) | −19.5959 | −1.05196 | −0.525982 | − | 0.850496i | \(-0.676302\pi\) | ||||
−0.525982 | + | 0.850496i | \(0.676302\pi\) | |||||||
\(348\) | 5.00000 | − | 0.460702i | 0.268028 | − | 0.0246962i | ||||
\(349\) | 10.4495 | + | 18.0990i | 0.559348 | + | 0.968820i | 0.997551 | + | 0.0699435i | \(0.0222819\pi\) |
−0.438203 | + | 0.898876i | \(0.644385\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −6.24745 | + | 24.6773i | −0.333464 | + | 1.31718i | ||||
\(352\) | −1.00000 | + | 1.73205i | −0.0533002 | + | 0.0923186i | ||||
\(353\) | −3.00000 | + | 5.19615i | −0.159674 | + | 0.276563i | −0.934751 | − | 0.355303i | \(-0.884378\pi\) |
0.775077 | + | 0.631867i | \(0.217711\pi\) | |||||||
\(354\) | −1.44949 | + | 3.14626i | −0.0770395 | + | 0.167222i | ||||
\(355\) | 17.0732 | + | 29.5717i | 0.906152 | + | 1.56950i | ||||
\(356\) | −3.55051 | + | 6.14966i | −0.188177 | + | 0.325932i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.34847 | + | 7.53177i | 0.229824 | + | 0.398066i | ||||
\(359\) | −5.39898 | + | 9.35131i | −0.284947 | + | 0.493543i | −0.972596 | − | 0.232500i | \(-0.925309\pi\) |
0.687649 | + | 0.726043i | \(0.258643\pi\) | |||||||
\(360\) | 3.44949 | − | 9.75663i | 0.181804 | − | 0.514220i | ||||
\(361\) | −18.2474 | − | 31.6055i | −0.960392 | − | 1.66345i | ||||
\(362\) | −4.34847 | −0.228550 | ||||||||
\(363\) | −12.0732 | + | 1.11243i | −0.633679 | + | 0.0583875i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.00000 | + | 8.66025i | −0.261712 | + | 0.453298i | ||||
\(366\) | 8.29796 | − | 18.0116i | 0.433741 | − | 0.941479i | ||||
\(367\) | 2.89898 | − | 5.02118i | 0.151325 | − | 0.262103i | −0.780389 | − | 0.625294i | \(-0.784979\pi\) |
0.931715 | + | 0.363190i | \(0.118313\pi\) | |||||||
\(368\) | 0.500000 | + | 0.866025i | 0.0260643 | + | 0.0451447i | ||||
\(369\) | 28.8990 | − | 5.37113i | 1.50442 | − | 0.279610i | ||||
\(370\) | 26.8990 | 1.39841 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 4.34847 | − | 9.43879i | 0.225458 | − | 0.489379i | ||||
\(373\) | −1.44949 | − | 2.51059i | −0.0750517 | − | 0.129993i | 0.826057 | − | 0.563587i | \(-0.190579\pi\) |
−0.901109 | + | 0.433593i | \(0.857246\pi\) | |||||||
\(374\) | −4.00000 | −0.206835 | ||||||||
\(375\) | 4.74745 | − | 10.3048i | 0.245157 | − | 0.532139i | ||||
\(376\) | 9.79796 | 0.505291 | ||||||||
\(377\) | 14.2020 | 0.731442 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −26.4949 | −1.36095 | −0.680476 | − | 0.732771i | \(-0.738227\pi\) | ||||
−0.680476 | + | 0.732771i | \(0.738227\pi\) | |||||||
\(380\) | 25.6969 | 1.31823 | ||||||||
\(381\) | 2.17423 | − | 4.71940i | 0.111389 | − | 0.241782i | ||||
\(382\) | 13.8990 | 0.711134 | ||||||||
\(383\) | 3.44949 | + | 5.97469i | 0.176261 | + | 0.305292i | 0.940597 | − | 0.339526i | \(-0.110266\pi\) |
−0.764336 | + | 0.644818i | \(0.776933\pi\) | |||||||
\(384\) | −0.724745 | + | 1.57313i | −0.0369845 | + | 0.0802786i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −8.10102 | −0.412331 | ||||||||
\(387\) | 2.89898 | − | 8.19955i | 0.147363 | − | 0.416807i | ||||
\(388\) | −3.44949 | − | 5.97469i | −0.175121 | − | 0.303319i | ||||
\(389\) | 7.55051 | − | 13.0779i | 0.382826 | − | 0.663074i | −0.608639 | − | 0.793447i | \(-0.708284\pi\) |
0.991465 | + | 0.130373i | \(0.0416175\pi\) | |||||||
\(390\) | 12.2474 | − | 26.5843i | 0.620174 | − | 1.34615i | ||||
\(391\) | −1.00000 | + | 1.73205i | −0.0505722 | + | 0.0875936i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 23.1969 | − | 2.13737i | 1.17013 | − | 0.107816i | ||||
\(394\) | −12.6969 | −0.639663 | ||||||||
\(395\) | 13.6237 | + | 23.5970i | 0.685484 | + | 1.18729i | ||||
\(396\) | 5.89898 | − | 1.09638i | 0.296435 | − | 0.0550950i | ||||
\(397\) | 4.65153 | − | 8.05669i | 0.233454 | − | 0.404354i | −0.725369 | − | 0.688361i | \(-0.758331\pi\) |
0.958822 | + | 0.284007i | \(0.0916640\pi\) | |||||||
\(398\) | 3.44949 | + | 5.97469i | 0.172907 | + | 0.299484i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.44949 | + | 5.97469i | −0.172474 | + | 0.298735i | ||||
\(401\) | 5.05051 | + | 8.74774i | 0.252210 | + | 0.436841i | 0.964134 | − | 0.265416i | \(-0.0855091\pi\) |
−0.711924 | + | 0.702257i | \(0.752176\pi\) | |||||||
\(402\) | 2.24745 | − | 4.87832i | 0.112093 | − | 0.243308i | ||||
\(403\) | 14.6969 | − | 25.4558i | 0.732107 | − | 1.26805i | ||||
\(404\) | 3.62372 | − | 6.27647i | 0.180287 | − | 0.312266i | ||||
\(405\) | −28.9722 | + | 11.1548i | −1.43964 | + | 0.554286i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.79796 | + | 13.5065i | 0.386530 | + | 0.669490i | ||||
\(408\) | −3.44949 | + | 0.317837i | −0.170775 | + | 0.0157353i | ||||
\(409\) | −5.79796 | −0.286691 | −0.143345 | − | 0.989673i | \(-0.545786\pi\) | ||||
−0.143345 | + | 0.989673i | \(0.545786\pi\) | |||||||
\(410\) | −33.7980 | −1.66916 | ||||||||
\(411\) | 11.7980 | + | 16.6848i | 0.581950 | + | 0.823002i | ||||
\(412\) | 7.00000 | + | 12.1244i | 0.344865 | + | 0.597324i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 1.00000 | − | 2.82843i | 0.0491473 | − | 0.139010i | ||||
\(415\) | −3.44949 | + | 5.97469i | −0.169329 | + | 0.293286i | ||||
\(416\) | −2.44949 | + | 4.24264i | −0.120096 | + | 0.208013i | ||||
\(417\) | 9.44949 | + | 13.3636i | 0.462744 | + | 0.654418i | ||||
\(418\) | 7.44949 | + | 12.9029i | 0.364366 | + | 0.631101i | ||||
\(419\) | 12.2753 | − | 21.2614i | 0.599685 | − | 1.03869i | −0.393182 | − | 0.919461i | \(-0.628626\pi\) |
0.992867 | − | 0.119225i | \(-0.0380410\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.55051 | − | 11.3458i | −0.319252 | − | 0.552961i | 0.661080 | − | 0.750316i | \(-0.270098\pi\) |
−0.980332 | + | 0.197354i | \(0.936765\pi\) | |||||||
\(422\) | −1.55051 | + | 2.68556i | −0.0754777 | + | 0.130731i | ||||
\(423\) | −19.1010 | − | 22.3417i | −0.928723 | − | 1.08629i | ||||
\(424\) | 0.550510 | + | 0.953512i | 0.0267351 | + | 0.0463066i | ||||
\(425\) | −13.7980 | −0.669299 | ||||||||
\(426\) | −7.17423 | + | 15.5724i | −0.347593 | + | 0.754485i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 6.00000 | − | 10.3923i | 0.290021 | − | 0.502331i | ||||
\(429\) | 16.8990 | − | 1.55708i | 0.815890 | − | 0.0751764i | ||||
\(430\) | −5.00000 | + | 8.66025i | −0.241121 | + | 0.417635i | ||||
\(431\) | 3.79796 | + | 6.57826i | 0.182941 | + | 0.316864i | 0.942881 | − | 0.333130i | \(-0.108105\pi\) |
−0.759940 | + | 0.649994i | \(0.774772\pi\) | |||||||
\(432\) | 5.00000 | − | 1.41421i | 0.240563 | − | 0.0680414i | ||||
\(433\) | −11.7980 | −0.566974 | −0.283487 | − | 0.958976i | \(-0.591491\pi\) | ||||
−0.283487 | + | 0.958976i | \(0.591491\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 10.0000 | + | 14.1421i | 0.479463 | + | 0.678064i | ||||
\(436\) | 8.34847 | + | 14.4600i | 0.399819 | + | 0.692507i | ||||
\(437\) | 7.44949 | 0.356357 | ||||||||
\(438\) | −5.00000 | + | 0.460702i | −0.238909 | + | 0.0220132i | ||||
\(439\) | −21.7980 | −1.04036 | −0.520180 | − | 0.854057i | \(-0.674135\pi\) | ||||
−0.520180 | + | 0.854057i | \(0.674135\pi\) | |||||||
\(440\) | −6.89898 | −0.328896 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.79796 | −0.466041 | ||||||||
\(443\) | −5.10102 | −0.242357 | −0.121178 | − | 0.992631i | \(-0.538667\pi\) | ||||
−0.121178 | + | 0.992631i | \(0.538667\pi\) | |||||||
\(444\) | 7.79796 | + | 11.0280i | 0.370075 | + | 0.523365i | ||||
\(445\) | −24.4949 | −1.16117 | ||||||||
\(446\) | −10.4495 | − | 18.0990i | −0.494798 | − | 0.857015i | ||||
\(447\) | −10.3485 | + | 0.953512i | −0.489466 | + | 0.0450996i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.5959 | −0.877596 | −0.438798 | − | 0.898586i | \(-0.644596\pi\) | ||||
−0.438798 | + | 0.898586i | \(0.644596\pi\) | |||||||
\(450\) | 20.3485 | − | 3.78194i | 0.959236 | − | 0.178282i | ||||
\(451\) | −9.79796 | − | 16.9706i | −0.461368 | − | 0.799113i | ||||
\(452\) | 7.94949 | − | 13.7689i | 0.373913 | − | 0.647636i | ||||
\(453\) | 5.00000 | + | 7.07107i | 0.234920 | + | 0.332228i | ||||
\(454\) | −0.275255 | + | 0.476756i | −0.0129184 | + | 0.0223753i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 7.44949 | + | 10.5352i | 0.348854 | + | 0.493355i | ||||
\(457\) | 31.4949 | 1.47327 | 0.736635 | − | 0.676291i | \(-0.236414\pi\) | ||||
0.736635 | + | 0.676291i | \(0.236414\pi\) | |||||||
\(458\) | −11.6237 | − | 20.1329i | −0.543141 | − | 0.940748i | ||||
\(459\) | 7.44949 | + | 7.24604i | 0.347712 | + | 0.338216i | ||||
\(460\) | −1.72474 | + | 2.98735i | −0.0804166 | + | 0.139286i | ||||
\(461\) | 10.1742 | + | 17.6223i | 0.473861 | + | 0.820752i | 0.999552 | − | 0.0299238i | \(-0.00952645\pi\) |
−0.525691 | + | 0.850676i | \(0.676193\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.8485 | − | 22.2542i | 0.597119 | − | 1.03424i | −0.396125 | − | 0.918197i | \(-0.629645\pi\) |
0.993244 | − | 0.116044i | \(-0.0370213\pi\) | |||||||
\(464\) | −1.44949 | − | 2.51059i | −0.0672909 | − | 0.116551i | ||||
\(465\) | 35.6969 | − | 3.28913i | 1.65541 | − | 0.152530i | ||||
\(466\) | 3.50000 | − | 6.06218i | 0.162134 | − | 0.280825i | ||||
\(467\) | 5.00000 | − | 8.66025i | 0.231372 | − | 0.400749i | −0.726840 | − | 0.686807i | \(-0.759012\pi\) |
0.958212 | + | 0.286058i | \(0.0923451\pi\) | |||||||
\(468\) | 14.4495 | − | 2.68556i | 0.667928 | − | 0.124140i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 16.8990 | + | 29.2699i | 0.779492 | + | 1.35012i | ||||
\(471\) | 4.60102 | − | 9.98698i | 0.212004 | − | 0.460176i | ||||
\(472\) | 2.00000 | 0.0920575 | ||||||||
\(473\) | −5.79796 | −0.266590 | ||||||||
\(474\) | −5.72474 | + | 12.4261i | −0.262946 | + | 0.570751i | ||||
\(475\) | 25.6969 | + | 44.5084i | 1.17906 | + | 2.04219i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.10102 | − | 3.11416i | 0.0504123 | − | 0.142587i | ||||
\(478\) | 6.39898 | − | 11.0834i | 0.292683 | − | 0.506941i | ||||
\(479\) | −14.7980 | + | 25.6308i | −0.676136 | + | 1.17110i | 0.299999 | + | 0.953939i | \(0.403013\pi\) |
−0.976135 | + | 0.217163i | \(0.930320\pi\) | |||||||
\(480\) | −5.94949 | + | 0.548188i | −0.271556 | + | 0.0250213i | ||||
\(481\) | 19.1010 | + | 33.0839i | 0.870932 | + | 1.50850i | ||||
\(482\) | −4.44949 | + | 7.70674i | −0.202669 | + | 0.351032i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.50000 | + | 6.06218i | 0.159091 | + | 0.275554i | ||||
\(485\) | 11.8990 | − | 20.6096i | 0.540305 | − | 0.935835i | ||||
\(486\) | −12.9722 | − | 8.64420i | −0.588431 | − | 0.392109i | ||||
\(487\) | −11.1969 | − | 19.3937i | −0.507382 | − | 0.878811i | −0.999963 | − | 0.00854475i | \(-0.997280\pi\) |
0.492582 | − | 0.870266i | \(-0.336053\pi\) | |||||||
\(488\) | −11.4495 | −0.518294 | ||||||||
\(489\) | 0.202041 | + | 0.285729i | 0.00913661 | + | 0.0129211i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.89898 | − | 3.28913i | 0.0856997 | − | 0.148436i | −0.819989 | − | 0.572379i | \(-0.806021\pi\) |
0.905689 | + | 0.423942i | \(0.139354\pi\) | |||||||
\(492\) | −9.79796 | − | 13.8564i | −0.441726 | − | 0.624695i | ||||
\(493\) | 2.89898 | − | 5.02118i | 0.130563 | − | 0.226143i | ||||
\(494\) | 18.2474 | + | 31.6055i | 0.820992 | + | 1.42200i | ||||
\(495\) | 13.4495 | + | 15.7313i | 0.604510 | + | 0.707070i | ||||
\(496\) | −6.00000 | −0.269408 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.44949 | + | 0.317837i | −0.154575 | + | 0.0142426i | ||||
\(499\) | −16.6969 | − | 28.9199i | −0.747458 | − | 1.29463i | −0.949038 | − | 0.315163i | \(-0.897941\pi\) |
0.201580 | − | 0.979472i | \(-0.435392\pi\) | |||||||
\(500\) | −6.55051 | −0.292948 | ||||||||
\(501\) | 18.6969 | + | 26.4415i | 0.835318 | + | 1.18132i | ||||
\(502\) | −12.5505 | −0.560157 | ||||||||
\(503\) | −24.4949 | −1.09217 | −0.546087 | − | 0.837729i | \(-0.683883\pi\) | ||||
−0.546087 | + | 0.837729i | \(0.683883\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 25.0000 | 1.11249 | ||||||||
\(506\) | −2.00000 | −0.0889108 | ||||||||
\(507\) | 18.9722 | − | 1.74810i | 0.842585 | − | 0.0776361i | ||||
\(508\) | −3.00000 | −0.133103 | ||||||||
\(509\) | −8.44949 | − | 14.6349i | −0.374517 | − | 0.648683i | 0.615738 | − | 0.787951i | \(-0.288858\pi\) |
−0.990255 | + | 0.139269i | \(0.955525\pi\) | |||||||
\(510\) | −6.89898 | − | 9.75663i | −0.305492 | − | 0.432031i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 9.50000 | − | 37.5248i | 0.419435 | − | 1.65676i | ||||
\(514\) | 13.8990 | + | 24.0737i | 0.613058 | + | 1.06185i | ||||
\(515\) | −24.1464 | + | 41.8228i | −1.06402 | + | 1.84293i | ||||
\(516\) | −5.00000 | + | 0.460702i | −0.220113 | + | 0.0202813i | ||||
\(517\) | −9.79796 | + | 16.9706i | −0.430914 | + | 0.746364i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −9.34847 | + | 20.2918i | −0.410352 | + | 0.890711i | ||||
\(520\) | −16.8990 | −0.741069 | ||||||||
\(521\) | −19.3485 | − | 33.5125i | −0.847672 | − | 1.46821i | −0.883281 | − | 0.468845i | \(-0.844670\pi\) |
0.0356087 | − | 0.999366i | \(-0.488663\pi\) | |||||||
\(522\) | −2.89898 | + | 8.19955i | −0.126885 | + | 0.358885i | ||||
\(523\) | 0.174235 | − | 0.301783i | 0.00761875 | − | 0.0131961i | −0.862191 | − | 0.506584i | \(-0.830908\pi\) |
0.869810 | + | 0.493387i | \(0.164242\pi\) | |||||||
\(524\) | −6.72474 | − | 11.6476i | −0.293772 | − | 0.508828i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.05051 | + | 13.9439i | −0.351019 | + | 0.607983i | ||||
\(527\) | −6.00000 | − | 10.3923i | −0.261364 | − | 0.452696i | ||||
\(528\) | −2.00000 | − | 2.82843i | −0.0870388 | − | 0.123091i | ||||
\(529\) | 11.0000 | − | 19.0526i | 0.478261 | − | 0.828372i | ||||
\(530\) | −1.89898 | + | 3.28913i | −0.0824864 | + | 0.142871i | ||||
\(531\) | −3.89898 | − | 4.56048i | −0.169201 | − | 0.197908i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −24.0000 | − | 41.5692i | −1.03956 | − | 1.80056i | ||||
\(534\) | −7.10102 | − | 10.0424i | −0.307291 | − | 0.434575i | ||||
\(535\) | 41.3939 | 1.78961 | ||||||||
\(536\) | −3.10102 | −0.133944 | ||||||||
\(537\) | −15.0000 | + | 1.38211i | −0.647298 | + | 0.0596423i | ||||
\(538\) | −1.82577 | − | 3.16232i | −0.0787143 | − | 0.136337i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 12.8485 | + | 12.4976i | 0.552910 | + | 0.537810i | ||||
\(541\) | −15.2474 | + | 26.4094i | −0.655539 | + | 1.13543i | 0.326219 | + | 0.945294i | \(0.394225\pi\) |
−0.981758 | + | 0.190133i | \(0.939108\pi\) | |||||||
\(542\) | 8.44949 | − | 14.6349i | 0.362937 | − | 0.628625i | ||||
\(543\) | 3.15153 | − | 6.84072i | 0.135245 | − | 0.293563i | ||||
\(544\) | 1.00000 | + | 1.73205i | 0.0428746 | + | 0.0742611i | ||||
\(545\) | −28.7980 | + | 49.8795i | −1.23357 | + | 2.13660i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.7980 | − | 27.3629i | −0.675472 | − | 1.16995i | −0.976331 | − | 0.216283i | \(-0.930607\pi\) |
0.300859 | − | 0.953669i | \(-0.402727\pi\) | |||||||
\(548\) | 5.89898 | − | 10.2173i | 0.251992 | − | 0.436463i | ||||
\(549\) | 22.3207 | + | 26.1076i | 0.952623 | + | 1.11424i | ||||
\(550\) | −6.89898 | − | 11.9494i | −0.294173 | − | 0.509523i | ||||
\(551\) | −21.5959 | −0.920017 | ||||||||
\(552\) | −1.72474 | + | 0.158919i | −0.0734100 | + | 0.00676403i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −5.34847 | + | 9.26382i | −0.227235 | + | 0.393582i | ||||
\(555\) | −19.4949 | + | 42.3157i | −0.827512 | + | 1.79620i | ||||
\(556\) | 4.72474 | − | 8.18350i | 0.200374 | − | 0.347058i | ||||
\(557\) | 1.55051 | + | 2.68556i | 0.0656972 | + | 0.113791i | 0.897003 | − | 0.442024i | \(-0.145740\pi\) |
−0.831306 | + | 0.555815i | \(0.812406\pi\) | |||||||
\(558\) | 11.6969 | + | 13.6814i | 0.495171 | + | 0.579181i | ||||
\(559\) | −14.2020 | −0.600682 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.89898 | − | 6.29253i | 0.122395 | − | 0.265671i | ||||
\(562\) | 9.50000 | + | 16.4545i | 0.400733 | + | 0.694090i | ||||
\(563\) | −13.9444 | −0.587686 | −0.293843 | − | 0.955854i | \(-0.594934\pi\) | ||||
−0.293843 | + | 0.955854i | \(0.594934\pi\) | |||||||
\(564\) | −7.10102 | + | 15.4135i | −0.299007 | + | 0.649025i | ||||
\(565\) | 54.8434 | 2.30728 | ||||||||
\(566\) | 20.5505 | 0.863802 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.89898 | 0.415352 | ||||||||
\(569\) | −30.0000 | −1.25767 | −0.628833 | − | 0.777541i | \(-0.716467\pi\) | ||||
−0.628833 | + | 0.777541i | \(0.716467\pi\) | |||||||
\(570\) | −18.6237 | + | 40.4247i | −0.780062 | + | 1.69320i | ||||
\(571\) | 14.2020 | 0.594337 | 0.297168 | − | 0.954825i | \(-0.403958\pi\) | ||||
0.297168 | + | 0.954825i | \(0.403958\pi\) | |||||||
\(572\) | −4.89898 | − | 8.48528i | −0.204837 | − | 0.354787i | ||||
\(573\) | −10.0732 | + | 21.8649i | −0.420815 | + | 0.913421i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.89898 | −0.287707 | ||||||||
\(576\) | −1.94949 | − | 2.28024i | −0.0812287 | − | 0.0950100i | ||||
\(577\) | 11.7980 | + | 20.4347i | 0.491155 | + | 0.850706i | 0.999948 | − | 0.0101829i | \(-0.00324136\pi\) |
−0.508793 | + | 0.860889i | \(0.669908\pi\) | |||||||
\(578\) | 6.50000 | − | 11.2583i | 0.270364 | − | 0.468285i | ||||
\(579\) | 5.87117 | − | 12.7440i | 0.243998 | − | 0.529622i | ||||
\(580\) | 5.00000 | − | 8.66025i | 0.207614 | − | 0.359597i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 11.8990 | − | 1.09638i | 0.493229 | − | 0.0454463i | ||||
\(583\) | −2.20204 | −0.0911992 | ||||||||
\(584\) | 1.44949 | + | 2.51059i | 0.0599803 | + | 0.103889i | ||||
\(585\) | 32.9444 | + | 38.5337i | 1.36208 | + | 1.59317i | ||||
\(586\) | 13.6237 | − | 23.5970i | 0.562791 | − | 0.974782i | ||||
\(587\) | −9.07321 | − | 15.7153i | −0.374492 | − | 0.648639i | 0.615759 | − | 0.787934i | \(-0.288849\pi\) |
−0.990251 | + | 0.139296i | \(0.955516\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −22.3485 | + | 38.7087i | −0.920853 | + | 1.59496i | ||||
\(590\) | 3.44949 | + | 5.97469i | 0.142013 | + | 0.245974i | ||||
\(591\) | 9.20204 | − | 19.9740i | 0.378521 | − | 0.821619i | ||||
\(592\) | 3.89898 | − | 6.75323i | 0.160247 | − | 0.277556i | ||||
\(593\) | −7.34847 | + | 12.7279i | −0.301765 | + | 0.522673i | −0.976536 | − | 0.215355i | \(-0.930909\pi\) |
0.674770 | + | 0.738028i | \(0.264243\pi\) | |||||||
\(594\) | −2.55051 | + | 10.0745i | −0.104649 | + | 0.413360i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.00000 | + | 5.19615i | 0.122885 | + | 0.212843i | ||||
\(597\) | −11.8990 | + | 1.09638i | −0.486993 | + | 0.0448717i | ||||
\(598\) | −4.89898 | −0.200334 | ||||||||
\(599\) | −14.2020 | −0.580280 | −0.290140 | − | 0.956984i | \(-0.593702\pi\) | ||||
−0.290140 | + | 0.956984i | \(0.593702\pi\) | |||||||
\(600\) | −6.89898 | − | 9.75663i | −0.281650 | − | 0.398313i | ||||
\(601\) | −6.34847 | − | 10.9959i | −0.258959 | − | 0.448531i | 0.707004 | − | 0.707210i | \(-0.250046\pi\) |
−0.965963 | + | 0.258679i | \(0.916713\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.04541 | + | 7.07107i | 0.246188 | + | 0.287956i | ||||
\(604\) | 2.50000 | − | 4.33013i | 0.101724 | − | 0.176190i | ||||
\(605\) | −12.0732 | + | 20.9114i | −0.490846 | + | 0.850170i | ||||
\(606\) | 7.24745 | + | 10.2494i | 0.294407 | + | 0.416355i | ||||
\(607\) | −4.34847 | − | 7.53177i | −0.176499 | − | 0.305705i | 0.764180 | − | 0.645003i | \(-0.223144\pi\) |
−0.940679 | + | 0.339298i | \(0.889811\pi\) | |||||||
\(608\) | 3.72474 | − | 6.45145i | 0.151058 | − | 0.261641i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −19.7474 | − | 34.2036i | −0.799551 | − | 1.38486i | ||||
\(611\) | −24.0000 | + | 41.5692i | −0.970936 | + | 1.68171i | ||||
\(612\) | 2.00000 | − | 5.65685i | 0.0808452 | − | 0.228665i | ||||
\(613\) | −7.34847 | − | 12.7279i | −0.296802 | − | 0.514076i | 0.678601 | − | 0.734508i | \(-0.262587\pi\) |
−0.975402 | + | 0.220432i | \(0.929253\pi\) | |||||||
\(614\) | −0.752551 | −0.0303705 | ||||||||
\(615\) | 24.4949 | − | 53.1687i | 0.987730 | − | 2.14397i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −21.6969 | + | 37.5802i | −0.873486 | + | 1.51292i | −0.0151189 | + | 0.999886i | \(0.504813\pi\) |
−0.858367 | + | 0.513036i | \(0.828521\pi\) | |||||||
\(618\) | −24.1464 | + | 2.22486i | −0.971312 | + | 0.0894970i | ||||
\(619\) | −2.07321 | + | 3.59091i | −0.0833295 | + | 0.144331i | −0.904678 | − | 0.426096i | \(-0.859889\pi\) |
0.821349 | + | 0.570426i | \(0.193222\pi\) | |||||||
\(620\) | −10.3485 | − | 17.9241i | −0.415605 | − | 0.719848i | ||||
\(621\) | 3.72474 | + | 3.62302i | 0.149469 | + | 0.145387i | ||||
\(622\) | −1.30306 | −0.0522480 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.89898 | − | 6.92820i | −0.196116 | − | 0.277350i | ||||
\(625\) | 5.94949 | + | 10.3048i | 0.237980 | + | 0.412193i | ||||
\(626\) | −24.6969 | −0.987088 | ||||||||
\(627\) | −25.6969 | + | 2.36773i | −1.02624 | + | 0.0945578i | ||||
\(628\) | −6.34847 | −0.253332 | ||||||||
\(629\) | 15.5959 | 0.621850 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.1010 | 0.720590 | 0.360295 | − | 0.932838i | \(-0.382676\pi\) | ||||
0.360295 | + | 0.932838i | \(0.382676\pi\) | |||||||
\(632\) | 7.89898 | 0.314205 | ||||||||
\(633\) | −3.10102 | − | 4.38551i | −0.123255 | − | 0.174308i | ||||
\(634\) | −8.69694 | −0.345400 | ||||||||
\(635\) | −5.17423 | − | 8.96204i | −0.205333 | − | 0.355648i | ||||
\(636\) | −1.89898 | + | 0.174973i | −0.0752994 | + | 0.00693812i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 5.79796 | 0.229543 | ||||||||
\(639\) | −19.2980 | − | 22.5720i | −0.763415 | − | 0.892936i | ||||
\(640\) | 1.72474 | + | 2.98735i | 0.0681765 | + | 0.118085i | ||||
\(641\) | −20.7474 | + | 35.9356i | −0.819475 | + | 1.41937i | 0.0865947 | + | 0.996244i | \(0.472401\pi\) |
−0.906070 | + | 0.423129i | \(0.860932\pi\) | |||||||
\(642\) | 12.0000 | + | 16.9706i | 0.473602 | + | 0.669775i | ||||
\(643\) | 9.69694 | − | 16.7956i | 0.382410 | − | 0.662353i | −0.608996 | − | 0.793173i | \(-0.708428\pi\) |
0.991406 | + | 0.130820i | \(0.0417609\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −10.0000 | − | 14.1421i | −0.393750 | − | 0.556846i | ||||
\(646\) | 14.8990 | 0.586193 | ||||||||
\(647\) | −10.6515 | − | 18.4490i | −0.418755 | − | 0.725305i | 0.577060 | − | 0.816702i | \(-0.304200\pi\) |
−0.995815 | + | 0.0913973i | \(0.970867\pi\) | |||||||
\(648\) | −1.39898 | + | 8.89060i | −0.0549571 | + | 0.349256i | ||||
\(649\) | −2.00000 | + | 3.46410i | −0.0785069 | + | 0.135978i | ||||
\(650\) | −16.8990 | − | 29.2699i | −0.662833 | − | 1.14806i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.101021 | − | 0.174973i | 0.00395627 | − | 0.00685246i | ||||
\(653\) | 4.89898 | + | 8.48528i | 0.191712 | + | 0.332055i | 0.945818 | − | 0.324698i | \(-0.105263\pi\) |
−0.754106 | + | 0.656753i | \(0.771929\pi\) | |||||||
\(654\) | −28.7980 | + | 2.65345i | −1.12609 | + | 0.103758i | ||||
\(655\) | 23.1969 | − | 40.1783i | 0.906379 | − | 1.56990i | ||||
\(656\) | −4.89898 | + | 8.48528i | −0.191273 | + | 0.331295i | ||||
\(657\) | 2.89898 | − | 8.19955i | 0.113100 | − | 0.319895i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.34847 | − | 4.06767i | −0.0914834 | − | 0.158454i | 0.816652 | − | 0.577130i | \(-0.195828\pi\) |
−0.908136 | + | 0.418676i | \(0.862494\pi\) | |||||||
\(660\) | 5.00000 | − | 10.8530i | 0.194625 | − | 0.422453i | ||||
\(661\) | −9.44949 | −0.367543 | −0.183771 | − | 0.982969i | \(-0.558831\pi\) | ||||
−0.183771 | + | 0.982969i | \(0.558831\pi\) | |||||||
\(662\) | −24.6969 | −0.959874 | ||||||||
\(663\) | 7.10102 | − | 15.4135i | 0.275781 | − | 0.598610i | ||||
\(664\) | 1.00000 | + | 1.73205i | 0.0388075 | + | 0.0672166i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −23.0000 | + | 4.27475i | −0.891232 | + | 0.165643i | ||||
\(667\) | 1.44949 | − | 2.51059i | 0.0561245 | − | 0.0972104i | ||||
\(668\) | 9.34847 | − | 16.1920i | 0.361703 | − | 0.626488i | ||||
\(669\) | 36.0454 | − | 3.32124i | 1.39360 | − | 0.128406i | ||||
\(670\) | −5.34847 | − | 9.26382i | −0.206629 | − | 0.357893i | ||||
\(671\) | 11.4495 | − | 19.8311i | 0.442003 | − | 0.765571i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −15.2980 | − | 26.4968i | −0.589693 | − | 1.02138i | −0.994272 | − | 0.106875i | \(-0.965915\pi\) |
0.404579 | − | 0.914503i | \(-0.367418\pi\) | |||||||
\(674\) | −17.6969 | + | 30.6520i | −0.681661 | + | 1.18067i | ||||
\(675\) | −8.79796 | + | 34.7518i | −0.338634 | + | 1.33760i | ||||
\(676\) | −5.50000 | − | 9.52628i | −0.211538 | − | 0.366395i | ||||
\(677\) | 14.6969 | 0.564849 | 0.282425 | − | 0.959289i | \(-0.408861\pi\) | ||||
0.282425 | + | 0.959289i | \(0.408861\pi\) | |||||||
\(678\) | 15.8990 | + | 22.4846i | 0.610597 | + | 0.863514i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −3.44949 | + | 5.97469i | −0.132282 | + | 0.229119i | ||||
\(681\) | −0.550510 | − | 0.778539i | −0.0210956 | − | 0.0298337i | ||||
\(682\) | 6.00000 | − | 10.3923i | 0.229752 | − | 0.397942i | ||||
\(683\) | −16.1010 | − | 27.8878i | −0.616088 | − | 1.06710i | −0.990193 | − | 0.139710i | \(-0.955383\pi\) |
0.374104 | − | 0.927387i | \(-0.377950\pi\) | |||||||
\(684\) | −21.9722 | + | 4.08372i | −0.840128 | + | 0.156145i | ||||
\(685\) | 40.6969 | 1.55495 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 40.0959 | − | 3.69445i | 1.52975 | − | 0.140952i | ||||
\(688\) | 1.44949 | + | 2.51059i | 0.0552613 | + | 0.0957153i | ||||
\(689\) | −5.39388 | −0.205490 | ||||||||
\(690\) | −3.44949 | − | 4.87832i | −0.131320 | − | 0.185714i | ||||
\(691\) | −6.95459 | −0.264565 | −0.132283 | − | 0.991212i | \(-0.542231\pi\) | ||||
−0.132283 | + | 0.991212i | \(0.542231\pi\) | |||||||
\(692\) | 12.8990 | 0.490346 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −19.5959 | −0.743851 | ||||||||
\(695\) | 32.5959 | 1.23643 | ||||||||
\(696\) | 5.00000 | − | 0.460702i | 0.189525 | − | 0.0174629i | ||||
\(697\) | −19.5959 | −0.742248 | ||||||||
\(698\) | 10.4495 | + | 18.0990i | 0.395519 | + | 0.685059i | ||||
\(699\) | 7.00000 | + | 9.89949i | 0.264764 | + | 0.374433i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 51.3939 | 1.94112 | 0.970560 | − | 0.240860i | \(-0.0774293\pi\) | ||||
0.970560 | + | 0.240860i | \(0.0774293\pi\) | |||||||
\(702\) | −6.24745 | + | 24.6773i | −0.235795 | + | 0.931385i | ||||
\(703\) | −29.0454 | − | 50.3081i | −1.09547 | − | 1.89741i | ||||
\(704\) | −1.00000 | + | 1.73205i | −0.0376889 | + | 0.0652791i | ||||
\(705\) | −58.2929 | + | 5.37113i | −2.19544 | + | 0.202288i | ||||
\(706\) | −3.00000 | + | 5.19615i | −0.112906 | + | 0.195560i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −1.44949 | + | 3.14626i | −0.0544752 | + | 0.118244i | ||||
\(709\) | −11.5959 | −0.435494 | −0.217747 | − | 0.976005i | \(-0.569871\pi\) | ||||
−0.217747 | + | 0.976005i | \(0.569871\pi\) | |||||||
\(710\) | 17.0732 | + | 29.5717i | 0.640746 | + | 1.10981i | ||||
\(711\) | −15.3990 | − | 18.0116i | −0.577507 | − | 0.675486i | ||||
\(712\) | −3.55051 | + | 6.14966i | −0.133061 | + | 0.230468i | ||||
\(713\) | −3.00000 | − | 5.19615i | −0.112351 | − | 0.194597i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 16.8990 | − | 29.2699i | 0.631986 | − | 1.09463i | ||||
\(716\) | 4.34847 | + | 7.53177i | 0.162510 | + | 0.281475i | ||||
\(717\) | 12.7980 | + | 18.0990i | 0.477949 | + | 0.675921i | ||||
\(718\) | −5.39898 | + | 9.35131i | −0.201488 | + | 0.348988i | ||||
\(719\) | −4.89898 | + | 8.48528i | −0.182701 | + | 0.316448i | −0.942799 | − | 0.333360i | \(-0.891817\pi\) |
0.760098 | + | 0.649808i | \(0.225151\pi\) | |||||||
\(720\) | 3.44949 | − | 9.75663i | 0.128555 | − | 0.363608i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −18.2474 | − | 31.6055i | −0.679100 | − | 1.17624i | ||||
\(723\) | −8.89898 | − | 12.5851i | −0.330957 | − | 0.468043i | ||||
\(724\) | −4.34847 | −0.161610 | ||||||||
\(725\) | 20.0000 | 0.742781 | ||||||||
\(726\) | −12.0732 | + | 1.11243i | −0.448079 | + | 0.0412862i | ||||
\(727\) | 20.2474 | + | 35.0696i | 0.750936 | + | 1.30066i | 0.947369 | + | 0.320143i | \(0.103731\pi\) |
−0.196433 | + | 0.980517i | \(0.562936\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.0000 | − | 14.1421i | 0.851852 | − | 0.523783i | ||||
\(730\) | −5.00000 | + | 8.66025i | −0.185058 | + | 0.320530i | ||||
\(731\) | −2.89898 | + | 5.02118i | −0.107223 | + | 0.185715i | ||||
\(732\) | 8.29796 | − | 18.0116i | 0.306701 | − | 0.665726i | ||||
\(733\) | −6.27526 | − | 10.8691i | −0.231782 | − | 0.401458i | 0.726551 | − | 0.687113i | \(-0.241122\pi\) |
−0.958333 | + | 0.285655i | \(0.907789\pi\) | |||||||
\(734\) | 2.89898 | − | 5.02118i | 0.107003 | − | 0.185335i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.500000 | + | 0.866025i | 0.0184302 | + | 0.0319221i | ||||
\(737\) | 3.10102 | − | 5.37113i | 0.114228 | − | 0.197848i | ||||
\(738\) | 28.8990 | − | 5.37113i | 1.06379 | − | 0.197714i | ||||
\(739\) | 12.7980 | + | 22.1667i | 0.470781 | + | 0.815416i | 0.999441 | − | 0.0334173i | \(-0.0106390\pi\) |
−0.528661 | + | 0.848833i | \(0.677306\pi\) | |||||||
\(740\) | 26.8990 | 0.988826 | ||||||||
\(741\) | −62.9444 | + | 5.79972i | −2.31232 | + | 0.213058i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −18.0000 | + | 31.1769i | −0.660356 | + | 1.14377i | 0.320166 | + | 0.947361i | \(0.396261\pi\) |
−0.980522 | + | 0.196409i | \(0.937072\pi\) | |||||||
\(744\) | 4.34847 | − | 9.43879i | 0.159423 | − | 0.346043i | ||||
\(745\) | −10.3485 | + | 17.9241i | −0.379139 | + | 0.656687i | ||||
\(746\) | −1.44949 | − | 2.51059i | −0.0530696 | − | 0.0919192i | ||||
\(747\) | 2.00000 | − | 5.65685i | 0.0731762 | − | 0.206973i | ||||
\(748\) | −4.00000 | −0.146254 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 4.74745 | − | 10.3048i | 0.173352 | − | 0.376279i | ||||
\(751\) | −20.2980 | − | 35.1571i | −0.740683 | − | 1.28290i | −0.952185 | − | 0.305523i | \(-0.901169\pi\) |
0.211502 | − | 0.977378i | \(-0.432165\pi\) | |||||||
\(752\) | 9.79796 | 0.357295 | ||||||||
\(753\) | 9.09592 | − | 19.7436i | 0.331474 | − | 0.719497i | ||||
\(754\) | 14.2020 | 0.517208 | ||||||||
\(755\) | 17.2474 | 0.627699 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 23.3939 | 0.850265 | 0.425132 | − | 0.905131i | \(-0.360228\pi\) | ||||
0.425132 | + | 0.905131i | \(0.360228\pi\) | |||||||
\(758\) | −26.4949 | −0.962338 | ||||||||
\(759\) | 1.44949 | − | 3.14626i | 0.0526131 | − | 0.114202i | ||||
\(760\) | 25.6969 | 0.932126 | ||||||||
\(761\) | 1.00000 | + | 1.73205i | 0.0362500 | + | 0.0627868i | 0.883581 | − | 0.468278i | \(-0.155125\pi\) |
−0.847331 | + | 0.531065i | \(0.821792\pi\) | |||||||
\(762\) | 2.17423 | − | 4.71940i | 0.0787642 | − | 0.170966i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 13.8990 | 0.502847 | ||||||||
\(765\) | 20.3485 | − | 3.78194i | 0.735700 | − | 0.136736i | ||||
\(766\) | 3.44949 | + | 5.97469i | 0.124635 | + | 0.215874i | ||||
\(767\) | −4.89898 | + | 8.48528i | −0.176892 | + | 0.306386i | ||||
\(768\) | −0.724745 | + | 1.57313i | −0.0261520 | + | 0.0567655i | ||||
\(769\) | 27.0454 | − | 46.8440i | 0.975282 | − | 1.68924i | 0.296282 | − | 0.955100i | \(-0.404253\pi\) |
0.679000 | − | 0.734138i | \(-0.262414\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −47.9444 | + | 4.41761i | −1.72667 | + | 0.159096i | ||||
\(772\) | −8.10102 | −0.291562 | ||||||||
\(773\) | −9.97219 | − | 17.2723i | −0.358675 | − | 0.621243i | 0.629065 | − | 0.777353i | \(-0.283438\pi\) |
−0.987740 | + | 0.156110i | \(0.950105\pi\) | |||||||
\(774\) | 2.89898 | − | 8.19955i | 0.104202 | − | 0.294727i | ||||
\(775\) | 20.6969 | − | 35.8481i | 0.743456 | − | 1.28770i | ||||
\(776\) | −3.44949 | − | 5.97469i | −0.123829 | − | 0.214479i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.55051 | − | 13.0779i | 0.270699 | − | 0.468864i | ||||
\(779\) | 36.4949 | + | 63.2110i | 1.30757 | + | 2.26477i | ||||
\(780\) | 12.2474 | − | 26.5843i | 0.438529 | − | 0.951872i | ||||
\(781\) | −9.89898 | + | 17.1455i | −0.354213 | + | 0.613515i | ||||
\(782\) | −1.00000 | + | 1.73205i | −0.0357599 | + | 0.0619380i | ||||
\(783\) | −10.7980 | − | 10.5031i | −0.385888 | − | 0.375349i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −10.9495 | − | 18.9651i | −0.390804 | − | 0.676892i | ||||
\(786\) | 23.1969 | − | 2.13737i | 0.827407 | − | 0.0762376i | ||||
\(787\) | −47.3939 | −1.68941 | −0.844705 | − | 0.535233i | \(-0.820224\pi\) | ||||
−0.844705 | + | 0.535233i | \(0.820224\pi\) | |||||||
\(788\) | −12.6969 | −0.452310 | ||||||||
\(789\) | −16.1010 | − | 22.7703i | −0.573212 | − | 0.810643i | ||||
\(790\) | 13.6237 | + | 23.5970i | 0.484710 | + | 0.839543i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 5.89898 | − | 1.09638i | 0.209611 | − | 0.0389580i | ||||
\(793\) | 28.0454 | − | 48.5761i | 0.995922 | − | 1.72499i | ||||
\(794\) | 4.65153 | − | 8.05669i | 0.165077 | − | 0.285921i | ||||
\(795\) | −3.79796 | − | 5.37113i | −0.134700 | − | 0.190494i | ||||
\(796\) | 3.44949 | + | 5.97469i | 0.122264 | + | 0.211767i | ||||
\(797\) | 17.9722 | − | 31.1288i | 0.636608 | − | 1.10264i | −0.349564 | − | 0.936912i | \(-0.613670\pi\) |
0.986172 | − | 0.165725i | \(-0.0529963\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.79796 | + | 16.9706i | 0.346627 | + | 0.600375i | ||||
\(800\) | −3.44949 | + | 5.97469i | −0.121958 | + | 0.211237i | ||||
\(801\) | 20.9444 | − | 3.89270i | 0.740034 | − | 0.137542i | ||||
\(802\) | 5.05051 | + | 8.74774i | 0.178340 | + | 0.308893i | ||||
\(803\) | −5.79796 | −0.204606 | ||||||||
\(804\) | 2.24745 | − | 4.87832i | 0.0792614 | − | 0.172045i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 14.6969 | − | 25.4558i | 0.517678 | − | 0.896644i | ||||
\(807\) | 6.29796 | − | 0.580296i | 0.221699 | − | 0.0204274i | ||||
\(808\) | 3.62372 | − | 6.27647i | 0.127482 | − | 0.220806i | ||||
\(809\) | 17.8990 | + | 31.0019i | 0.629295 | + | 1.08997i | 0.987694 | + | 0.156402i | \(0.0499894\pi\) |
−0.358399 | + | 0.933569i | \(0.616677\pi\) | |||||||
\(810\) | −28.9722 | + | 11.1548i | −1.01798 | + | 0.391939i | ||||
\(811\) | 2.00000 | 0.0702295 | 0.0351147 | − | 0.999383i | \(-0.488820\pi\) | ||||
0.0351147 | + | 0.999383i | \(0.488820\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 16.8990 | + | 23.8988i | 0.592673 | + | 0.838166i | ||||
\(814\) | 7.79796 | + | 13.5065i | 0.273318 | + | 0.473401i | ||||
\(815\) | 0.696938 | 0.0244127 | ||||||||
\(816\) | −3.44949 | + | 0.317837i | −0.120756 | + | 0.0111265i | ||||
\(817\) | 21.5959 | 0.755546 | ||||||||
\(818\) | −5.79796 | −0.202721 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −33.7980 | −1.18028 | ||||||||
\(821\) | 39.5959 | 1.38191 | 0.690954 | − | 0.722899i | \(-0.257191\pi\) | ||||
0.690954 | + | 0.722899i | \(0.257191\pi\) | |||||||
\(822\) | 11.7980 | + | 16.6848i | 0.411501 | + | 0.581950i | ||||
\(823\) | 45.3939 | 1.58233 | 0.791166 | − | 0.611602i | \(-0.209475\pi\) | ||||
0.791166 | + | 0.611602i | \(0.209475\pi\) | |||||||
\(824\) | 7.00000 | + | 12.1244i | 0.243857 | + | 0.422372i | ||||
\(825\) | 23.7980 | − | 2.19275i | 0.828539 | − | 0.0763418i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 12.4949 | 0.434490 | 0.217245 | − | 0.976117i | \(-0.430293\pi\) | ||||
0.217245 | + | 0.976117i | \(0.430293\pi\) | |||||||
\(828\) | 1.00000 | − | 2.82843i | 0.0347524 | − | 0.0982946i | ||||
\(829\) | 15.3485 | + | 26.5843i | 0.533074 | + | 0.923312i | 0.999254 | + | 0.0386218i | \(0.0122967\pi\) |
−0.466180 | + | 0.884690i | \(0.654370\pi\) | |||||||
\(830\) | −3.44949 | + | 5.97469i | −0.119734 | + | 0.207385i | ||||
\(831\) | −10.6969 | − | 15.1278i | −0.371073 | − | 0.524776i | ||||
\(832\) | −2.44949 | + | 4.24264i | −0.0849208 | + | 0.147087i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 9.44949 | + | 13.3636i | 0.327209 | + | 0.462744i | ||||
\(835\) | 64.4949 | 2.23194 | ||||||||
\(836\) | 7.44949 | + | 12.9029i | 0.257646 | + | 0.446256i | ||||
\(837\) | −30.0000 | + | 8.48528i | −1.03695 | + | 0.293294i | ||||
\(838\) | 12.2753 | − | 21.2614i | 0.424042 | − | 0.734462i | ||||
\(839\) | −22.4495 | − | 38.8837i | −0.775042 | − | 1.34241i | −0.934771 | − | 0.355252i | \(-0.884395\pi\) |
0.159728 | − | 0.987161i | \(-0.448938\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.2980 | − | 17.8366i | 0.355102 | − | 0.615055i | ||||
\(842\) | −6.55051 | − | 11.3458i | −0.225745 | − | 0.391003i | ||||
\(843\) | −32.7702 | + | 3.01945i | −1.12866 | + | 0.103996i | ||||
\(844\) | −1.55051 | + | 2.68556i | −0.0533708 | + | 0.0924409i | ||||
\(845\) | 18.9722 | − | 32.8608i | 0.652663 | − | 1.13045i | ||||
\(846\) | −19.1010 | − | 22.3417i | −0.656707 | − | 0.768123i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0.550510 | + | 0.953512i | 0.0189046 | + | 0.0327437i | ||||
\(849\) | −14.8939 | + | 32.3287i | −0.511157 | + | 1.10952i | ||||
\(850\) | −13.7980 | −0.473266 | ||||||||
\(851\) | 7.79796 | 0.267311 | ||||||||
\(852\) | −7.17423 | + | 15.5724i | −0.245785 | + | 0.533502i | ||||
\(853\) | −19.4217 | − | 33.6393i | −0.664986 | − | 1.15179i | −0.979289 | − | 0.202467i | \(-0.935104\pi\) |
0.314303 | − | 0.949323i | \(-0.398229\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −50.0959 | − | 58.5952i | −1.71324 | − | 2.00391i | ||||
\(856\) | 6.00000 | − | 10.3923i | 0.205076 | − | 0.355202i | ||||
\(857\) | −12.5505 | + | 21.7381i | −0.428717 | + | 0.742560i | −0.996760 | − | 0.0804393i | \(-0.974368\pi\) |
0.568042 | + | 0.822999i | \(0.307701\pi\) | |||||||
\(858\) | 16.8990 | − | 1.55708i | 0.576922 | − | 0.0531578i | ||||
\(859\) | −5.00000 | − | 8.66025i | −0.170598 | − | 0.295484i | 0.768031 | − | 0.640412i | \(-0.221237\pi\) |
−0.938629 | + | 0.344928i | \(0.887903\pi\) | |||||||
\(860\) | −5.00000 | + | 8.66025i | −0.170499 | + | 0.295312i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.79796 | + | 6.57826i | 0.129359 | + | 0.224056i | ||||
\(863\) | −1.05051 | + | 1.81954i | −0.0357598 | + | 0.0619378i | −0.883351 | − | 0.468711i | \(-0.844718\pi\) |
0.847592 | + | 0.530649i | \(0.178052\pi\) | |||||||
\(864\) | 5.00000 | − | 1.41421i | 0.170103 | − | 0.0481125i | ||||
\(865\) | 22.2474 | + | 38.5337i | 0.756436 | + | 1.31019i | ||||
\(866\) | −11.7980 | −0.400911 | ||||||||
\(867\) | 13.0000 | + | 18.3848i | 0.441503 | + | 0.624380i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −7.89898 | + | 13.6814i | −0.267955 | + | 0.464111i | ||||
\(870\) | 10.0000 | + | 14.1421i | 0.339032 | + | 0.479463i | ||||
\(871\) | 7.59592 | − | 13.1565i | 0.257378 | − | 0.445792i | ||||
\(872\) | 8.34847 | + | 14.4600i | 0.282715 | + | 0.489676i | ||||
\(873\) | −6.89898 | + | 19.5133i | −0.233495 | + | 0.660424i | ||||
\(874\) | 7.44949 | 0.251983 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −5.00000 | + | 0.460702i | −0.168934 | + | 0.0155657i | ||||
\(877\) | 13.2474 | + | 22.9453i | 0.447335 | + | 0.774806i | 0.998212 | − | 0.0597803i | \(-0.0190400\pi\) |
−0.550877 | + | 0.834586i | \(0.685707\pi\) | |||||||
\(878\) | −21.7980 | −0.735645 | ||||||||
\(879\) | 27.2474 | + | 38.5337i | 0.919034 | + | 1.29971i | ||||
\(880\) | −6.89898 | −0.232565 | ||||||||
\(881\) | 19.5959 | 0.660203 | 0.330102 | − | 0.943945i | \(-0.392917\pi\) | ||||
0.330102 | + | 0.943945i | \(0.392917\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.202041 | −0.00679922 | −0.00339961 | − | 0.999994i | \(-0.501082\pi\) | ||||
−0.00339961 | + | 0.999994i | \(0.501082\pi\) | |||||||
\(884\) | −9.79796 | −0.329541 | ||||||||
\(885\) | −11.8990 | + | 1.09638i | −0.399980 | + | 0.0368543i | ||||
\(886\) | −5.10102 | −0.171372 | ||||||||
\(887\) | −16.8990 | − | 29.2699i | −0.567412 | − | 0.982787i | −0.996821 | − | 0.0796764i | \(-0.974611\pi\) |
0.429409 | − | 0.903110i | \(-0.358722\pi\) | |||||||
\(888\) | 7.79796 | + | 11.0280i | 0.261682 | + | 0.370075i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −24.4949 | −0.821071 | ||||||||
\(891\) | −14.0000 | − | 11.3137i | −0.469018 | − | 0.379023i | ||||
\(892\) | −10.4495 | − | 18.0990i | −0.349875 | − | 0.606001i | ||||
\(893\) | 36.4949 | − | 63.2110i | 1.22126 | − | 2.11528i | ||||
\(894\) | −10.3485 | + | 0.953512i | −0.346105 | + | 0.0318902i | ||||
\(895\) | −15.0000 | + | 25.9808i | −0.501395 | + | 0.868441i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.55051 | − | 7.70674i | 0.118548 | − | 0.257321i | ||||
\(898\) | −18.5959 | −0.620554 | ||||||||
\(899\) | 8.69694 | + | 15.0635i | 0.290059 | + | 0.502397i | ||||
\(900\) | 20.3485 | − | 3.78194i | 0.678282 | − | 0.126065i | ||||
\(901\) | −1.10102 | + | 1.90702i | −0.0366803 | + | 0.0635322i | ||||
\(902\) | −9.79796 | − | 16.9706i | −0.326236 | − | 0.565058i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.94949 | − | 13.7689i | 0.264396 | − | 0.457947i | ||||
\(905\) | −7.50000 | − | 12.9904i | −0.249308 | − | 0.431815i | ||||
\(906\) | 5.00000 | + | 7.07107i | 0.166114 | + | 0.234920i | ||||
\(907\) | 13.3485 | − | 23.1202i | 0.443229 | − | 0.767695i | −0.554698 | − | 0.832052i | \(-0.687166\pi\) |
0.997927 | + | 0.0643570i | \(0.0204996\pi\) | |||||||
\(908\) | −0.275255 | + | 0.476756i | −0.00913466 | + | 0.0158217i | ||||
\(909\) | −21.3763 | + | 3.97297i | −0.709006 | + | 0.131775i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 22.9949 | + | 39.8283i | 0.761855 | + | 1.31957i | 0.941893 | + | 0.335912i | \(0.109044\pi\) |
−0.180038 | + | 0.983660i | \(0.557622\pi\) | |||||||
\(912\) | 7.44949 | + | 10.5352i | 0.246677 | + | 0.348854i | ||||
\(913\) | −4.00000 | −0.132381 | ||||||||
\(914\) | 31.4949 | 1.04176 | ||||||||
\(915\) | 68.1186 | − | 6.27647i | 2.25193 | − | 0.207494i | ||||
\(916\) | −11.6237 | − | 20.1329i | −0.384059 | − | 0.665209i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 7.44949 | + | 7.24604i | 0.245870 | + | 0.239155i | ||||
\(919\) | −1.84847 | + | 3.20164i | −0.0609754 | + | 0.105612i | −0.894902 | − | 0.446263i | \(-0.852754\pi\) |
0.833926 | + | 0.551876i | \(0.186088\pi\) | |||||||
\(920\) | −1.72474 | + | 2.98735i | −0.0568632 | + | 0.0984899i | ||||
\(921\) | 0.545408 | − | 1.18386i | 0.0179718 | − | 0.0390096i | ||||
\(922\) | 10.1742 | + | 17.6223i | 0.335071 | + | 0.580359i | ||||
\(923\) | −24.2474 | + | 41.9978i | −0.798114 | + | 1.38237i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 26.8990 | + | 46.5904i | 0.884433 | + | 1.53188i | ||||
\(926\) | 12.8485 | − | 22.2542i | 0.422227 | − | 0.731318i | ||||
\(927\) | 14.0000 | − | 39.5980i | 0.459820 | − | 1.30057i | ||||
\(928\) | −1.44949 | − | 2.51059i | −0.0475818 | − | 0.0824142i | ||||
\(929\) | 34.2929 | 1.12511 | 0.562556 | − | 0.826759i | \(-0.309818\pi\) | ||||
0.562556 | + | 0.826759i | \(0.309818\pi\) | |||||||
\(930\) | 35.6969 | − | 3.28913i | 1.17055 | − | 0.107855i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.50000 | − | 6.06218i | 0.114646 | − | 0.198573i | ||||
\(933\) | 0.944387 | − | 2.04989i | 0.0309178 | − | 0.0671103i | ||||
\(934\) | 5.00000 | − | 8.66025i | 0.163605 | − | 0.283372i | ||||
\(935\) | −6.89898 | − | 11.9494i | −0.225621 | − | 0.390787i | ||||
\(936\) | 14.4495 | − | 2.68556i | 0.472296 | − | 0.0877804i | ||||
\(937\) | −6.40408 | −0.209212 | −0.104606 | − | 0.994514i | \(-0.533358\pi\) | ||||
−0.104606 | + | 0.994514i | \(0.533358\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 17.8990 | − | 38.8515i | 0.584111 | − | 1.26787i | ||||
\(940\) | 16.8990 | + | 29.2699i | 0.551184 | + | 0.954679i | ||||
\(941\) | −3.44949 | −0.112450 | −0.0562251 | − | 0.998418i | \(-0.517906\pi\) | ||||
−0.0562251 | + | 0.998418i | \(0.517906\pi\) | |||||||
\(942\) | 4.60102 | − | 9.98698i | 0.149909 | − | 0.325393i | ||||
\(943\) | −9.79796 | −0.319065 | ||||||||
\(944\) | 2.00000 | 0.0650945 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.79796 | −0.188508 | ||||||||
\(947\) | 3.50510 | 0.113901 | 0.0569503 | − | 0.998377i | \(-0.481862\pi\) | ||||
0.0569503 | + | 0.998377i | \(0.481862\pi\) | |||||||
\(948\) | −5.72474 | + | 12.4261i | −0.185931 | + | 0.403582i | ||||
\(949\) | −14.2020 | −0.461018 | ||||||||
\(950\) | 25.6969 | + | 44.5084i | 0.833719 | + | 1.44404i | ||||
\(951\) | 6.30306 | − | 13.6814i | 0.204391 | − | 0.443651i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 55.3939 | 1.79438 | 0.897192 | − | 0.441641i | \(-0.145604\pi\) | ||||
0.897192 | + | 0.441641i | \(0.145604\pi\) | |||||||
\(954\) | 1.10102 | − | 3.11416i | 0.0356469 | − | 0.100825i | ||||
\(955\) | 23.9722 | + | 41.5211i | 0.775722 | + | 1.34359i | ||||
\(956\) | 6.39898 | − | 11.0834i | 0.206958 | − | 0.358461i | ||||
\(957\) | −4.20204 | + | 9.12096i | −0.135833 | + | 0.294839i | ||||
\(958\) | −14.7980 | + | 25.6308i | −0.478100 | + | 0.828094i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −5.94949 | + | 0.548188i | −0.192019 | + | 0.0176927i | ||||
\(961\) | 5.00000 | 0.161290 | ||||||||
\(962\) | 19.1010 | + | 33.0839i | 0.615842 | + | 1.06667i | ||||
\(963\) | −35.3939 | + | 6.57826i | −1.14055 | + | 0.211981i | ||||
\(964\) | −4.44949 | + | 7.70674i | −0.143308 | + | 0.248217i | ||||
\(965\) | −13.9722 | − | 24.2005i | −0.449781 | − | 0.779043i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 7.29796 | − | 12.6404i | 0.234687 | − | 0.406489i | −0.724495 | − | 0.689280i | \(-0.757927\pi\) |
0.959182 | + | 0.282791i | \(0.0912603\pi\) | |||||||
\(968\) | 3.50000 | + | 6.06218i | 0.112494 | + | 0.194846i | ||||
\(969\) | −10.7980 | + | 23.4381i | −0.346880 | + | 0.752939i | ||||
\(970\) | 11.8990 | − | 20.6096i | 0.382053 | − | 0.661736i | ||||
\(971\) | −26.9722 | + | 46.7172i | −0.865579 | + | 1.49923i | 0.000892350 | 1.00000i | \(0.499716\pi\) | |
−0.866471 | + | 0.499227i | \(0.833617\pi\) | |||||||
\(972\) | −12.9722 | − | 8.64420i | −0.416083 | − | 0.277263i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −11.1969 | − | 19.3937i | −0.358773 | − | 0.621413i | ||||
\(975\) | 58.2929 | − | 5.37113i | 1.86687 | − | 0.172014i | ||||
\(976\) | −11.4495 | −0.366489 | ||||||||
\(977\) | 1.59592 | 0.0510579 | 0.0255290 | − | 0.999674i | \(-0.491873\pi\) | ||||
0.0255290 | + | 0.999674i | \(0.491873\pi\) | |||||||
\(978\) | 0.202041 | + | 0.285729i | 0.00646056 | + | 0.00913661i | ||||
\(979\) | −7.10102 | − | 12.2993i | −0.226950 | − | 0.393088i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 16.6969 | − | 47.2261i | 0.533092 | − | 1.50781i | ||||
\(982\) | 1.89898 | − | 3.28913i | 0.0605989 | − | 0.104960i | ||||
\(983\) | 22.5959 | − | 39.1373i | 0.720698 | − | 1.24829i | −0.240023 | − | 0.970767i | \(-0.577155\pi\) |
0.960720 | − | 0.277518i | \(-0.0895118\pi\) | |||||||
\(984\) | −9.79796 | − | 13.8564i | −0.312348 | − | 0.441726i | ||||
\(985\) | −21.8990 | − | 37.9301i | −0.697760 | − | 1.20855i | ||||
\(986\) | 2.89898 | − | 5.02118i | 0.0923223 | − | 0.159907i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 18.2474 | + | 31.6055i | 0.580529 | + | 1.00551i | ||||
\(989\) | −1.44949 | + | 2.51059i | −0.0460911 | + | 0.0798321i | ||||
\(990\) | 13.4495 | + | 15.7313i | 0.427453 | + | 0.499974i | ||||
\(991\) | −8.89898 | − | 15.4135i | −0.282685 | − | 0.489625i | 0.689360 | − | 0.724419i | \(-0.257892\pi\) |
−0.972045 | + | 0.234794i | \(0.924559\pi\) | |||||||
\(992\) | −6.00000 | −0.190500 | ||||||||
\(993\) | 17.8990 | − | 38.8515i | 0.568007 | − | 1.23292i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −11.8990 | + | 20.6096i | −0.377223 | + | 0.653369i | ||||
\(996\) | −3.44949 | + | 0.317837i | −0.109301 | + | 0.0100711i | ||||
\(997\) | 8.92679 | − | 15.4616i | 0.282714 | − | 0.489675i | −0.689338 | − | 0.724440i | \(-0.742099\pi\) |
0.972052 | + | 0.234764i | \(0.0754319\pi\) | |||||||
\(998\) | −16.6969 | − | 28.9199i | −0.528532 | − | 0.915445i | ||||
\(999\) | 9.94439 | − | 39.2801i | 0.314626 | − | 1.24277i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))