Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1274,2,Mod(753,1274)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1274, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1274.753");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1274 = 2 \cdot 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1274.n (of order \(6\), 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: | \(10.1729412175\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 26) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 753.2 | ||
Root | \(-0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1274.753 |
Dual form | 1274.2.n.d.961.2 |
$q$-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 \(\left(\mathbb{Z}/1274\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(885\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | −0.684819 | − | 0.728714i | \(-0.740119\pi\) |
0.973494 | + | 0.228714i | \(0.0734519\pi\) | |||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −2.59808 | + | 1.50000i | −1.16190 | + | 0.670820i | −0.951757 | − | 0.306851i | \(-0.900725\pi\) |
−0.210138 | + | 0.977672i | \(0.567391\pi\) | |||||||
\(6\) | − | 1.00000i | − | 0.408248i | ||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 1.00000 | + | 1.73205i | 0.333333 | + | 0.577350i | ||||
\(10\) | −1.50000 | + | 2.59808i | −0.474342 | + | 0.821584i | ||||
\(11\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 2.00000 | + | 3.00000i | 0.554700 | + | 0.832050i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.00000i | 0.774597i | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.50000 | + | 2.59808i | −0.363803 | + | 0.630126i | −0.988583 | − | 0.150675i | \(-0.951855\pi\) |
0.624780 | + | 0.780801i | \(0.285189\pi\) | |||||||
\(18\) | 1.73205 | + | 1.00000i | 0.408248 | + | 0.235702i | ||||
\(19\) | −5.19615 | + | 3.00000i | −1.19208 | + | 0.688247i | −0.958778 | − | 0.284157i | \(-0.908286\pi\) |
−0.233301 | + | 0.972404i | \(0.574953\pi\) | |||||||
\(20\) | 3.00000i | 0.670820i | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.00000 | + | 5.19615i | 0.625543 | + | 1.08347i | 0.988436 | + | 0.151642i | \(0.0484560\pi\) |
−0.362892 | + | 0.931831i | \(0.618211\pi\) | |||||||
\(24\) | −0.866025 | − | 0.500000i | −0.176777 | − | 0.102062i | ||||
\(25\) | 2.00000 | − | 3.46410i | 0.400000 | − | 0.692820i | ||||
\(26\) | 3.23205 | + | 1.59808i | 0.633857 | + | 0.313409i | ||||
\(27\) | 5.00000 | 0.962250 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(30\) | 1.50000 | + | 2.59808i | 0.273861 | + | 0.474342i | ||||
\(31\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.00000i | 0.514496i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.00000 | 0.333333 | ||||||||
\(37\) | 2.59808 | − | 1.50000i | 0.427121 | − | 0.246598i | −0.270998 | − | 0.962580i | \(-0.587354\pi\) |
0.698119 | + | 0.715981i | \(0.254020\pi\) | |||||||
\(38\) | −3.00000 | + | 5.19615i | −0.486664 | + | 0.842927i | ||||
\(39\) | 3.59808 | − | 0.232051i | 0.576153 | − | 0.0371579i | ||||
\(40\) | 1.50000 | + | 2.59808i | 0.237171 | + | 0.410792i | ||||
\(41\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.00000 | −0.152499 | −0.0762493 | − | 0.997089i | \(-0.524294\pi\) | ||||
−0.0762493 | + | 0.997089i | \(0.524294\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −5.19615 | − | 3.00000i | −0.774597 | − | 0.447214i | ||||
\(46\) | 5.19615 | + | 3.00000i | 0.766131 | + | 0.442326i | ||||
\(47\) | 2.59808 | − | 1.50000i | 0.378968 | − | 0.218797i | −0.298401 | − | 0.954441i | \(-0.596453\pi\) |
0.677369 | + | 0.735643i | \(0.263120\pi\) | |||||||
\(48\) | −1.00000 | −0.144338 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | − | 4.00000i | − | 0.565685i | ||||||
\(51\) | 1.50000 | + | 2.59808i | 0.210042 | + | 0.363803i | ||||
\(52\) | 3.59808 | − | 0.232051i | 0.498963 | − | 0.0321797i | ||||
\(53\) | 3.00000 | − | 5.19615i | 0.412082 | − | 0.713746i | −0.583036 | − | 0.812447i | \(-0.698135\pi\) |
0.995117 | + | 0.0987002i | \(0.0314685\pi\) | |||||||
\(54\) | 4.33013 | − | 2.50000i | 0.589256 | − | 0.340207i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.00000i | 0.794719i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.19615 | + | 3.00000i | 0.676481 | + | 0.390567i | 0.798528 | − | 0.601958i | \(-0.205612\pi\) |
−0.122047 | + | 0.992524i | \(0.538946\pi\) | |||||||
\(60\) | 2.59808 | + | 1.50000i | 0.335410 | + | 0.193649i | ||||
\(61\) | 4.00000 | + | 6.92820i | 0.512148 | + | 0.887066i | 0.999901 | + | 0.0140840i | \(0.00448323\pi\) |
−0.487753 | + | 0.872982i | \(0.662183\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −9.69615 | − | 4.79423i | −1.20266 | − | 0.594651i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.3923 | + | 6.00000i | 1.26962 | + | 0.733017i | 0.974916 | − | 0.222571i | \(-0.0714450\pi\) |
0.294706 | + | 0.955588i | \(0.404778\pi\) | |||||||
\(68\) | 1.50000 | + | 2.59808i | 0.181902 | + | 0.315063i | ||||
\(69\) | 6.00000 | 0.722315 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 15.0000i | 1.78017i | 0.455792 | + | 0.890086i | \(0.349356\pi\) | ||||
−0.455792 | + | 0.890086i | \(0.650644\pi\) | |||||||
\(72\) | 1.73205 | − | 1.00000i | 0.204124 | − | 0.117851i | ||||
\(73\) | −5.19615 | − | 3.00000i | −0.608164 | − | 0.351123i | 0.164083 | − | 0.986447i | \(-0.447534\pi\) |
−0.772246 | + | 0.635323i | \(0.780867\pi\) | |||||||
\(74\) | 1.50000 | − | 2.59808i | 0.174371 | − | 0.302020i | ||||
\(75\) | −2.00000 | − | 3.46410i | −0.230940 | − | 0.400000i | ||||
\(76\) | 6.00000i | 0.688247i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 3.00000 | − | 2.00000i | 0.339683 | − | 0.226455i | ||||
\(79\) | −5.00000 | − | 8.66025i | −0.562544 | − | 0.974355i | −0.997274 | − | 0.0737937i | \(-0.976489\pi\) |
0.434730 | − | 0.900561i | \(-0.356844\pi\) | |||||||
\(80\) | 2.59808 | + | 1.50000i | 0.290474 | + | 0.167705i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.00000i | 0.658586i | 0.944228 | + | 0.329293i | \(0.106810\pi\) | ||||
−0.944228 | + | 0.329293i | \(0.893190\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 9.00000i | − | 0.976187i | ||||||
\(86\) | −0.866025 | + | 0.500000i | −0.0933859 | + | 0.0539164i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.19615 | + | 3.00000i | −0.550791 | + | 0.317999i | −0.749441 | − | 0.662071i | \(-0.769678\pi\) |
0.198650 | + | 0.980071i | \(0.436344\pi\) | |||||||
\(90\) | −6.00000 | −0.632456 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.00000 | 0.625543 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.50000 | − | 2.59808i | 0.154713 | − | 0.267971i | ||||
\(95\) | 9.00000 | − | 15.5885i | 0.923381 | − | 1.59934i | ||||
\(96\) | −0.866025 | + | 0.500000i | −0.0883883 | + | 0.0510310i | ||||
\(97\) | − | 12.0000i | − | 1.21842i | −0.793011 | − | 0.609208i | \(-0.791488\pi\) | ||
0.793011 | − | 0.609208i | \(-0.208512\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.00000 | − | 3.46410i | −0.200000 | − | 0.346410i | ||||
\(101\) | −6.00000 | + | 10.3923i | −0.597022 | + | 1.03407i | 0.396236 | + | 0.918149i | \(0.370316\pi\) |
−0.993258 | + | 0.115924i | \(0.963017\pi\) | |||||||
\(102\) | 2.59808 | + | 1.50000i | 0.257248 | + | 0.148522i | ||||
\(103\) | −7.00000 | − | 12.1244i | −0.689730 | − | 1.19465i | −0.971925 | − | 0.235291i | \(-0.924396\pi\) |
0.282194 | − | 0.959357i | \(-0.408938\pi\) | |||||||
\(104\) | 3.00000 | − | 2.00000i | 0.294174 | − | 0.196116i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | − | 6.00000i | − | 0.582772i | ||||||
\(107\) | 6.00000 | + | 10.3923i | 0.580042 | + | 1.00466i | 0.995474 | + | 0.0950377i | \(0.0302972\pi\) |
−0.415432 | + | 0.909624i | \(0.636370\pi\) | |||||||
\(108\) | 2.50000 | − | 4.33013i | 0.240563 | − | 0.416667i | ||||
\(109\) | −7.79423 | − | 4.50000i | −0.746552 | − | 0.431022i | 0.0778949 | − | 0.996962i | \(-0.475180\pi\) |
−0.824447 | + | 0.565940i | \(0.808513\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 3.00000i | − | 0.284747i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −6.00000 | −0.564433 | −0.282216 | − | 0.959351i | \(-0.591070\pi\) | ||||
−0.282216 | + | 0.959351i | \(0.591070\pi\) | |||||||
\(114\) | 3.00000 | + | 5.19615i | 0.280976 | + | 0.486664i | ||||
\(115\) | −15.5885 | − | 9.00000i | −1.45363 | − | 0.839254i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.19615 | + | 6.46410i | −0.295484 | + | 0.597606i | ||||
\(118\) | 6.00000 | 0.552345 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 3.00000 | 0.273861 | ||||||||
\(121\) | −5.50000 | − | 9.52628i | −0.500000 | − | 0.866025i | ||||
\(122\) | 6.92820 | + | 4.00000i | 0.627250 | + | 0.362143i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 3.00000i | − | 0.268328i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.00000 | −0.177471 | −0.0887357 | − | 0.996055i | \(-0.528283\pi\) | ||||
−0.0887357 | + | 0.996055i | \(0.528283\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | −0.500000 | + | 0.866025i | −0.0440225 | + | 0.0762493i | ||||
\(130\) | −10.7942 | + | 0.696152i | −0.946716 | + | 0.0610566i | ||||
\(131\) | 1.50000 | + | 2.59808i | 0.131056 | + | 0.226995i | 0.924084 | − | 0.382190i | \(-0.124830\pi\) |
−0.793028 | + | 0.609185i | \(0.791497\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 12.0000 | 1.03664 | ||||||||
\(135\) | −12.9904 | + | 7.50000i | −1.11803 | + | 0.645497i | ||||
\(136\) | 2.59808 | + | 1.50000i | 0.222783 | + | 0.128624i | ||||
\(137\) | −15.5885 | − | 9.00000i | −1.33181 | − | 0.768922i | −0.346235 | − | 0.938148i | \(-0.612540\pi\) |
−0.985577 | + | 0.169226i | \(0.945873\pi\) | |||||||
\(138\) | 5.19615 | − | 3.00000i | 0.442326 | − | 0.255377i | ||||
\(139\) | 5.00000 | 0.424094 | 0.212047 | − | 0.977259i | \(-0.431987\pi\) | ||||
0.212047 | + | 0.977259i | \(0.431987\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | − | 3.00000i | − | 0.252646i | ||||||
\(142\) | 7.50000 | + | 12.9904i | 0.629386 | + | 1.09013i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | − | 1.73205i | 0.0833333 | − | 0.144338i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −6.00000 | −0.496564 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 3.00000i | − | 0.246598i | ||||||
\(149\) | −5.19615 | + | 3.00000i | −0.425685 | + | 0.245770i | −0.697507 | − | 0.716578i | \(-0.745707\pi\) |
0.271821 | + | 0.962348i | \(0.412374\pi\) | |||||||
\(150\) | −3.46410 | − | 2.00000i | −0.282843 | − | 0.163299i | ||||
\(151\) | 12.9904 | + | 7.50000i | 1.05714 | + | 0.610341i | 0.924640 | − | 0.380841i | \(-0.124366\pi\) |
0.132502 | + | 0.991183i | \(0.457699\pi\) | |||||||
\(152\) | 3.00000 | + | 5.19615i | 0.243332 | + | 0.421464i | ||||
\(153\) | −6.00000 | −0.485071 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1.59808 | − | 3.23205i | 0.127948 | − | 0.258771i | ||||
\(157\) | 11.0000 | − | 19.0526i | 0.877896 | − | 1.52056i | 0.0242497 | − | 0.999706i | \(-0.492280\pi\) |
0.853646 | − | 0.520854i | \(-0.174386\pi\) | |||||||
\(158\) | −8.66025 | − | 5.00000i | −0.688973 | − | 0.397779i | ||||
\(159\) | −3.00000 | − | 5.19615i | −0.237915 | − | 0.412082i | ||||
\(160\) | 3.00000 | 0.237171 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 1.00000i | 0.0785674i | ||||||||
\(163\) | 5.19615 | − | 3.00000i | 0.406994 | − | 0.234978i | −0.282503 | − | 0.959266i | \(-0.591165\pi\) |
0.689497 | + | 0.724288i | \(0.257831\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.00000 | + | 5.19615i | 0.232845 | + | 0.403300i | ||||
\(167\) | − | 12.0000i | − | 0.928588i | −0.885681 | − | 0.464294i | \(-0.846308\pi\) | ||
0.885681 | − | 0.464294i | \(-0.153692\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.00000 | + | 12.0000i | −0.384615 | + | 0.923077i | ||||
\(170\) | −4.50000 | − | 7.79423i | −0.345134 | − | 0.597790i | ||||
\(171\) | −10.3923 | − | 6.00000i | −0.794719 | − | 0.458831i | ||||
\(172\) | −0.500000 | + | 0.866025i | −0.0381246 | + | 0.0660338i | ||||
\(173\) | 3.00000 | + | 5.19615i | 0.228086 | + | 0.395056i | 0.957241 | − | 0.289292i | \(-0.0934200\pi\) |
−0.729155 | + | 0.684349i | \(0.760087\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.19615 | − | 3.00000i | 0.390567 | − | 0.225494i | ||||
\(178\) | −3.00000 | + | 5.19615i | −0.224860 | + | 0.389468i | ||||
\(179\) | −7.50000 | + | 12.9904i | −0.560576 | + | 0.970947i | 0.436870 | + | 0.899525i | \(0.356087\pi\) |
−0.997446 | + | 0.0714220i | \(0.977246\pi\) | |||||||
\(180\) | −5.19615 | + | 3.00000i | −0.387298 | + | 0.223607i | ||||
\(181\) | 2.00000 | 0.148659 | 0.0743294 | − | 0.997234i | \(-0.476318\pi\) | ||||
0.0743294 | + | 0.997234i | \(0.476318\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.00000 | 0.591377 | ||||||||
\(184\) | 5.19615 | − | 3.00000i | 0.383065 | − | 0.221163i | ||||
\(185\) | −4.50000 | + | 7.79423i | −0.330847 | + | 0.573043i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 3.00000i | − | 0.218797i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | − | 18.0000i | − | 1.30586i | ||||||
\(191\) | −6.00000 | − | 10.3923i | −0.434145 | − | 0.751961i | 0.563081 | − | 0.826402i | \(-0.309616\pi\) |
−0.997225 | + | 0.0744412i | \(0.976283\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | −5.19615 | − | 3.00000i | −0.374027 | − | 0.215945i | 0.301189 | − | 0.953564i | \(-0.402616\pi\) |
−0.675216 | + | 0.737620i | \(0.735950\pi\) | |||||||
\(194\) | −6.00000 | − | 10.3923i | −0.430775 | − | 0.746124i | ||||
\(195\) | −9.00000 | + | 6.00000i | −0.644503 | + | 0.429669i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.00000i | 0.213741i | 0.994273 | + | 0.106871i | \(0.0340831\pi\) | ||||
−0.994273 | + | 0.106871i | \(0.965917\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.0000 | − | 17.3205i | 0.708881 | − | 1.22782i | −0.256391 | − | 0.966573i | \(-0.582534\pi\) |
0.965272 | − | 0.261245i | \(-0.0841331\pi\) | |||||||
\(200\) | −3.46410 | − | 2.00000i | −0.244949 | − | 0.141421i | ||||
\(201\) | 10.3923 | − | 6.00000i | 0.733017 | − | 0.423207i | ||||
\(202\) | 12.0000i | 0.844317i | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 3.00000 | 0.210042 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −12.1244 | − | 7.00000i | −0.844744 | − | 0.487713i | ||||
\(207\) | −6.00000 | + | 10.3923i | −0.417029 | + | 0.722315i | ||||
\(208\) | 1.59808 | − | 3.23205i | 0.110807 | − | 0.224102i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −23.0000 | −1.58339 | −0.791693 | − | 0.610920i | \(-0.790800\pi\) | ||||
−0.791693 | + | 0.610920i | \(0.790800\pi\) | |||||||
\(212\) | −3.00000 | − | 5.19615i | −0.206041 | − | 0.356873i | ||||
\(213\) | 12.9904 | + | 7.50000i | 0.890086 | + | 0.513892i | ||||
\(214\) | 10.3923 | + | 6.00000i | 0.710403 | + | 0.410152i | ||||
\(215\) | 2.59808 | − | 1.50000i | 0.177187 | − | 0.102299i | ||||
\(216\) | − | 5.00000i | − | 0.340207i | ||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −9.00000 | −0.609557 | ||||||||
\(219\) | −5.19615 | + | 3.00000i | −0.351123 | + | 0.202721i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.7942 | + | 0.696152i | −0.726098 | + | 0.0468283i | ||||
\(222\) | −1.50000 | − | 2.59808i | −0.100673 | − | 0.174371i | ||||
\(223\) | − | 9.00000i | − | 0.602685i | −0.953516 | − | 0.301342i | \(-0.902565\pi\) | ||
0.953516 | − | 0.301342i | \(-0.0974347\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.00000 | 0.533333 | ||||||||
\(226\) | −5.19615 | + | 3.00000i | −0.345643 | + | 0.199557i | ||||
\(227\) | 10.3923 | + | 6.00000i | 0.689761 | + | 0.398234i | 0.803523 | − | 0.595274i | \(-0.202957\pi\) |
−0.113761 | + | 0.993508i | \(0.536290\pi\) | |||||||
\(228\) | 5.19615 | + | 3.00000i | 0.344124 | + | 0.198680i | ||||
\(229\) | 7.79423 | − | 4.50000i | 0.515057 | − | 0.297368i | −0.219853 | − | 0.975533i | \(-0.570558\pi\) |
0.734910 | + | 0.678165i | \(0.237224\pi\) | |||||||
\(230\) | −18.0000 | −1.18688 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.5000 | + | 18.1865i | 0.687878 | + | 1.19144i | 0.972523 | + | 0.232806i | \(0.0747909\pi\) |
−0.284645 | + | 0.958633i | \(0.591876\pi\) | |||||||
\(234\) | 0.464102 | + | 7.19615i | 0.0303393 | + | 0.470427i | ||||
\(235\) | −4.50000 | + | 7.79423i | −0.293548 | + | 0.508439i | ||||
\(236\) | 5.19615 | − | 3.00000i | 0.338241 | − | 0.195283i | ||||
\(237\) | −10.0000 | −0.649570 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.00000i | 0.582162i | 0.956698 | + | 0.291081i | \(0.0940149\pi\) | ||||
−0.956698 | + | 0.291081i | \(0.905985\pi\) | |||||||
\(240\) | 2.59808 | − | 1.50000i | 0.167705 | − | 0.0968246i | ||||
\(241\) | 25.9808 | + | 15.0000i | 1.67357 | + | 0.966235i | 0.965615 | + | 0.259975i | \(0.0837143\pi\) |
0.707953 | + | 0.706260i | \(0.249619\pi\) | |||||||
\(242\) | −9.52628 | − | 5.50000i | −0.612372 | − | 0.353553i | ||||
\(243\) | 8.00000 | + | 13.8564i | 0.513200 | + | 0.888889i | ||||
\(244\) | 8.00000 | 0.512148 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −19.3923 | − | 9.58846i | −1.23390 | − | 0.610099i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.19615 | + | 3.00000i | 0.329293 | + | 0.190117i | ||||
\(250\) | −1.50000 | − | 2.59808i | −0.0948683 | − | 0.164317i | ||||
\(251\) | 12.0000 | 0.757433 | 0.378717 | − | 0.925513i | \(-0.376365\pi\) | ||||
0.378717 | + | 0.925513i | \(0.376365\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −1.73205 | + | 1.00000i | −0.108679 | + | 0.0627456i | ||||
\(255\) | −7.79423 | − | 4.50000i | −0.488094 | − | 0.281801i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −1.50000 | − | 2.59808i | −0.0935674 | − | 0.162064i | 0.815442 | − | 0.578838i | \(-0.196494\pi\) |
−0.909010 | + | 0.416775i | \(0.863160\pi\) | |||||||
\(258\) | 1.00000i | 0.0622573i | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −9.00000 | + | 6.00000i | −0.558156 | + | 0.372104i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.59808 | + | 1.50000i | 0.160510 | + | 0.0926703i | ||||
\(263\) | −12.0000 | + | 20.7846i | −0.739952 | + | 1.28163i | 0.212565 | + | 0.977147i | \(0.431818\pi\) |
−0.952517 | + | 0.304487i | \(0.901515\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 18.0000i | 1.10573i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.00000i | 0.367194i | ||||||||
\(268\) | 10.3923 | − | 6.00000i | 0.634811 | − | 0.366508i | ||||
\(269\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(270\) | −7.50000 | + | 12.9904i | −0.456435 | + | 0.790569i | ||||
\(271\) | 12.9904 | − | 7.50000i | 0.789109 | − | 0.455593i | −0.0505395 | − | 0.998722i | \(-0.516094\pi\) |
0.839649 | + | 0.543130i | \(0.182761\pi\) | |||||||
\(272\) | 3.00000 | 0.181902 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −18.0000 | −1.08742 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.00000 | − | 5.19615i | 0.180579 | − | 0.312772i | ||||
\(277\) | −4.00000 | + | 6.92820i | −0.240337 | + | 0.416275i | −0.960810 | − | 0.277207i | \(-0.910591\pi\) |
0.720473 | + | 0.693482i | \(0.243925\pi\) | |||||||
\(278\) | 4.33013 | − | 2.50000i | 0.259704 | − | 0.149940i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 30.0000i | − | 1.78965i | −0.446417 | − | 0.894825i | \(-0.647300\pi\) | ||
0.446417 | − | 0.894825i | \(-0.352700\pi\) | |||||||
\(282\) | −1.50000 | − | 2.59808i | −0.0893237 | − | 0.154713i | ||||
\(283\) | −2.00000 | + | 3.46410i | −0.118888 | + | 0.205919i | −0.919327 | − | 0.393494i | \(-0.871266\pi\) |
0.800439 | + | 0.599414i | \(0.204600\pi\) | |||||||
\(284\) | 12.9904 | + | 7.50000i | 0.770837 | + | 0.445043i | ||||
\(285\) | −9.00000 | − | 15.5885i | −0.533114 | − | 0.923381i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | − | 2.00000i | − | 0.117851i | ||||||
\(289\) | 4.00000 | + | 6.92820i | 0.235294 | + | 0.407541i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.3923 | − | 6.00000i | −0.609208 | − | 0.351726i | ||||
\(292\) | −5.19615 | + | 3.00000i | −0.304082 | + | 0.175562i | ||||
\(293\) | − | 9.00000i | − | 0.525786i | −0.964825 | − | 0.262893i | \(-0.915323\pi\) | ||
0.964825 | − | 0.262893i | \(-0.0846766\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −18.0000 | −1.04800 | ||||||||
\(296\) | −1.50000 | − | 2.59808i | −0.0871857 | − | 0.151010i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.00000 | + | 5.19615i | −0.173785 | + | 0.301005i | ||||
\(299\) | −9.58846 | + | 19.3923i | −0.554515 | + | 1.12149i | ||||
\(300\) | −4.00000 | −0.230940 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 15.0000 | 0.863153 | ||||||||
\(303\) | 6.00000 | + | 10.3923i | 0.344691 | + | 0.597022i | ||||
\(304\) | 5.19615 | + | 3.00000i | 0.298020 | + | 0.172062i | ||||
\(305\) | −20.7846 | − | 12.0000i | −1.19012 | − | 0.687118i | ||||
\(306\) | −5.19615 | + | 3.00000i | −0.297044 | + | 0.171499i | ||||
\(307\) | 18.0000i | 1.02731i | 0.857996 | + | 0.513657i | \(0.171710\pi\) | ||||
−0.857996 | + | 0.513657i | \(0.828290\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.0000 | −0.796432 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.00000 | − | 15.5885i | 0.510343 | − | 0.883940i | −0.489585 | − | 0.871956i | \(-0.662852\pi\) |
0.999928 | − | 0.0119847i | \(-0.00381495\pi\) | |||||||
\(312\) | −0.232051 | − | 3.59808i | −0.0131373 | − | 0.203701i | ||||
\(313\) | −9.50000 | − | 16.4545i | −0.536972 | − | 0.930062i | −0.999065 | − | 0.0432311i | \(-0.986235\pi\) |
0.462093 | − | 0.886831i | \(-0.347098\pi\) | |||||||
\(314\) | − | 22.0000i | − | 1.24153i | ||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −10.0000 | −0.562544 | ||||||||
\(317\) | 15.5885 | − | 9.00000i | 0.875535 | − | 0.505490i | 0.00635137 | − | 0.999980i | \(-0.497978\pi\) |
0.869184 | + | 0.494489i | \(0.164645\pi\) | |||||||
\(318\) | −5.19615 | − | 3.00000i | −0.291386 | − | 0.168232i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 2.59808 | − | 1.50000i | 0.145237 | − | 0.0838525i | ||||
\(321\) | 12.0000 | 0.669775 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 18.0000i | − | 1.00155i | ||||||
\(324\) | 0.500000 | + | 0.866025i | 0.0277778 | + | 0.0481125i | ||||
\(325\) | 14.3923 | − | 0.928203i | 0.798341 | − | 0.0514875i | ||||
\(326\) | 3.00000 | − | 5.19615i | 0.166155 | − | 0.287788i | ||||
\(327\) | −7.79423 | + | 4.50000i | −0.431022 | + | 0.248851i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 25.9808 | − | 15.0000i | 1.42803 | − | 0.824475i | 0.431066 | − | 0.902320i | \(-0.358137\pi\) |
0.996965 | + | 0.0778456i | \(0.0248041\pi\) | |||||||
\(332\) | 5.19615 | + | 3.00000i | 0.285176 | + | 0.164646i | ||||
\(333\) | 5.19615 | + | 3.00000i | 0.284747 | + | 0.164399i | ||||
\(334\) | −6.00000 | − | 10.3923i | −0.328305 | − | 0.568642i | ||||
\(335\) | −36.0000 | −1.96689 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.0000 | 0.708155 | 0.354078 | − | 0.935216i | \(-0.384795\pi\) | ||||
0.354078 | + | 0.935216i | \(0.384795\pi\) | |||||||
\(338\) | 1.66987 | + | 12.8923i | 0.0908291 | + | 0.701249i | ||||
\(339\) | −3.00000 | + | 5.19615i | −0.162938 | + | 0.282216i | ||||
\(340\) | −7.79423 | − | 4.50000i | −0.422701 | − | 0.244047i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −12.0000 | −0.648886 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1.00000i | 0.0539164i | ||||||||
\(345\) | −15.5885 | + | 9.00000i | −0.839254 | + | 0.484544i | ||||
\(346\) | 5.19615 | + | 3.00000i | 0.279347 | + | 0.161281i | ||||
\(347\) | −16.5000 | + | 28.5788i | −0.885766 | + | 1.53419i | −0.0409337 | + | 0.999162i | \(0.513033\pi\) |
−0.844833 | + | 0.535031i | \(0.820300\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 21.0000i | − | 1.12410i | −0.827102 | − | 0.562052i | \(-0.810012\pi\) | ||
0.827102 | − | 0.562052i | \(-0.189988\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 10.0000 | + | 15.0000i | 0.533761 | + | 0.800641i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.19615 | − | 3.00000i | −0.276563 | − | 0.159674i | 0.355303 | − | 0.934751i | \(-0.384378\pi\) |
−0.631867 | + | 0.775077i | \(0.717711\pi\) | |||||||
\(354\) | 3.00000 | − | 5.19615i | 0.159448 | − | 0.276172i | ||||
\(355\) | −22.5000 | − | 38.9711i | −1.19418 | − | 2.06837i | ||||
\(356\) | 6.00000i | 0.317999i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 15.0000i | 0.792775i | ||||||||
\(359\) | 20.7846 | − | 12.0000i | 1.09697 | − | 0.633336i | 0.161546 | − | 0.986865i | \(-0.448352\pi\) |
0.935423 | + | 0.353529i | \(0.115019\pi\) | |||||||
\(360\) | −3.00000 | + | 5.19615i | −0.158114 | + | 0.273861i | ||||
\(361\) | 8.50000 | − | 14.7224i | 0.447368 | − | 0.774865i | ||||
\(362\) | 1.73205 | − | 1.00000i | 0.0910346 | − | 0.0525588i | ||||
\(363\) | −11.0000 | −0.577350 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 18.0000 | 0.942163 | ||||||||
\(366\) | 6.92820 | − | 4.00000i | 0.362143 | − | 0.209083i | ||||
\(367\) | −4.00000 | + | 6.92820i | −0.208798 | + | 0.361649i | −0.951336 | − | 0.308155i | \(-0.900289\pi\) |
0.742538 | + | 0.669804i | \(0.233622\pi\) | |||||||
\(368\) | 3.00000 | − | 5.19615i | 0.156386 | − | 0.270868i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 9.00000i | 0.467888i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.00000 | − | 3.46410i | −0.103556 | − | 0.179364i | 0.809591 | − | 0.586994i | \(-0.199689\pi\) |
−0.913147 | + | 0.407630i | \(0.866355\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −2.59808 | − | 1.50000i | −0.134164 | − | 0.0774597i | ||||
\(376\) | −1.50000 | − | 2.59808i | −0.0773566 | − | 0.133986i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 6.00000i | − | 0.308199i | −0.988055 | − | 0.154100i | \(-0.950752\pi\) | ||
0.988055 | − | 0.154100i | \(-0.0492477\pi\) | |||||||
\(380\) | −9.00000 | − | 15.5885i | −0.461690 | − | 0.799671i | ||||
\(381\) | −1.00000 | + | 1.73205i | −0.0512316 | + | 0.0887357i | ||||
\(382\) | −10.3923 | − | 6.00000i | −0.531717 | − | 0.306987i | ||||
\(383\) | −7.79423 | + | 4.50000i | −0.398266 | + | 0.229939i | −0.685736 | − | 0.727851i | \(-0.740519\pi\) |
0.287469 | + | 0.957790i | \(0.407186\pi\) | |||||||
\(384\) | 1.00000i | 0.0510310i | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −6.00000 | −0.305392 | ||||||||
\(387\) | −1.00000 | − | 1.73205i | −0.0508329 | − | 0.0880451i | ||||
\(388\) | −10.3923 | − | 6.00000i | −0.527589 | − | 0.304604i | ||||
\(389\) | 15.0000 | − | 25.9808i | 0.760530 | − | 1.31728i | −0.182047 | − | 0.983290i | \(-0.558272\pi\) |
0.942578 | − | 0.333987i | \(-0.108394\pi\) | |||||||
\(390\) | −4.79423 | + | 9.69615i | −0.242765 | + | 0.490984i | ||||
\(391\) | −18.0000 | −0.910299 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.00000 | 0.151330 | ||||||||
\(394\) | 1.50000 | + | 2.59808i | 0.0755689 | + | 0.130889i | ||||
\(395\) | 25.9808 | + | 15.0000i | 1.30723 | + | 0.754732i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.5885 | − | 9.00000i | 0.782362 | − | 0.451697i | −0.0549046 | − | 0.998492i | \(-0.517485\pi\) |
0.837267 | + | 0.546795i | \(0.184152\pi\) | |||||||
\(398\) | − | 20.0000i | − | 1.00251i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.00000 | −0.200000 | ||||||||
\(401\) | 25.9808 | − | 15.0000i | 1.29742 | − | 0.749064i | 0.317460 | − | 0.948272i | \(-0.397170\pi\) |
0.979957 | + | 0.199207i | \(0.0638367\pi\) | |||||||
\(402\) | 6.00000 | − | 10.3923i | 0.299253 | − | 0.518321i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 6.00000 | + | 10.3923i | 0.298511 | + | 0.517036i | ||||
\(405\) | − | 3.00000i | − | 0.149071i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 2.59808 | − | 1.50000i | 0.128624 | − | 0.0742611i | ||||
\(409\) | 5.19615 | + | 3.00000i | 0.256933 | + | 0.148340i | 0.622935 | − | 0.782274i | \(-0.285940\pi\) |
−0.366002 | + | 0.930614i | \(0.619274\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −15.5885 | + | 9.00000i | −0.768922 | + | 0.443937i | ||||
\(412\) | −14.0000 | −0.689730 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 12.0000i | 0.589768i | ||||||||
\(415\) | −9.00000 | − | 15.5885i | −0.441793 | − | 0.765207i | ||||
\(416\) | −0.232051 | − | 3.59808i | −0.0113772 | − | 0.176410i | ||||
\(417\) | 2.50000 | − | 4.33013i | 0.122426 | − | 0.212047i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 15.0000 | 0.732798 | 0.366399 | − | 0.930458i | \(-0.380591\pi\) | ||||
0.366399 | + | 0.930458i | \(0.380591\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 15.0000i | − | 0.731055i | −0.930800 | − | 0.365528i | \(-0.880889\pi\) | ||
0.930800 | − | 0.365528i | \(-0.119111\pi\) | |||||||
\(422\) | −19.9186 | + | 11.5000i | −0.969622 | + | 0.559811i | ||||
\(423\) | 5.19615 | + | 3.00000i | 0.252646 | + | 0.145865i | ||||
\(424\) | −5.19615 | − | 3.00000i | −0.252347 | − | 0.145693i | ||||
\(425\) | 6.00000 | + | 10.3923i | 0.291043 | + | 0.504101i | ||||
\(426\) | 15.0000 | 0.726752 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 12.0000 | 0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.50000 | − | 2.59808i | 0.0723364 | − | 0.125290i | ||||
\(431\) | 12.9904 | + | 7.50000i | 0.625725 | + | 0.361262i | 0.779094 | − | 0.626907i | \(-0.215679\pi\) |
−0.153370 | + | 0.988169i | \(0.549013\pi\) | |||||||
\(432\) | −2.50000 | − | 4.33013i | −0.120281 | − | 0.208333i | ||||
\(433\) | −11.0000 | −0.528626 | −0.264313 | − | 0.964437i | \(-0.585145\pi\) | ||||
−0.264313 | + | 0.964437i | \(0.585145\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.79423 | + | 4.50000i | −0.373276 | + | 0.215511i | ||||
\(437\) | −31.1769 | − | 18.0000i | −1.49139 | − | 0.861057i | ||||
\(438\) | −3.00000 | + | 5.19615i | −0.143346 | + | 0.248282i | ||||
\(439\) | 5.00000 | + | 8.66025i | 0.238637 | + | 0.413331i | 0.960323 | − | 0.278889i | \(-0.0899661\pi\) |
−0.721686 | + | 0.692220i | \(0.756633\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.00000 | + | 6.00000i | −0.428086 | + | 0.285391i | ||||
\(443\) | 10.5000 | + | 18.1865i | 0.498870 | + | 0.864068i | 0.999999 | − | 0.00130426i | \(-0.000415158\pi\) |
−0.501129 | + | 0.865373i | \(0.667082\pi\) | |||||||
\(444\) | −2.59808 | − | 1.50000i | −0.123299 | − | 0.0711868i | ||||
\(445\) | 9.00000 | − | 15.5885i | 0.426641 | − | 0.738964i | ||||
\(446\) | −4.50000 | − | 7.79423i | −0.213081 | − | 0.369067i | ||||
\(447\) | 6.00000i | 0.283790i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 24.0000i | 1.13263i | 0.824189 | + | 0.566315i | \(0.191631\pi\) | ||||
−0.824189 | + | 0.566315i | \(0.808369\pi\) | |||||||
\(450\) | 6.92820 | − | 4.00000i | 0.326599 | − | 0.188562i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −3.00000 | + | 5.19615i | −0.141108 | + | 0.244406i | ||||
\(453\) | 12.9904 | − | 7.50000i | 0.610341 | − | 0.352381i | ||||
\(454\) | 12.0000 | 0.563188 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6.00000 | 0.280976 | ||||||||
\(457\) | 15.5885 | − | 9.00000i | 0.729197 | − | 0.421002i | −0.0889312 | − | 0.996038i | \(-0.528345\pi\) |
0.818128 | + | 0.575036i | \(0.195012\pi\) | |||||||
\(458\) | 4.50000 | − | 7.79423i | 0.210271 | − | 0.364200i | ||||
\(459\) | −7.50000 | + | 12.9904i | −0.350070 | + | 0.606339i | ||||
\(460\) | −15.5885 | + | 9.00000i | −0.726816 | + | 0.419627i | ||||
\(461\) | − | 15.0000i | − | 0.698620i | −0.937007 | − | 0.349310i | \(-0.886416\pi\) | ||
0.937007 | − | 0.349310i | \(-0.113584\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 24.0000i | − | 1.11537i | −0.830051 | − | 0.557687i | \(-0.811689\pi\) | ||
0.830051 | − | 0.557687i | \(-0.188311\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 18.1865 | + | 10.5000i | 0.842475 | + | 0.486403i | ||||
\(467\) | 6.00000 | + | 10.3923i | 0.277647 | + | 0.480899i | 0.970799 | − | 0.239892i | \(-0.0771121\pi\) |
−0.693153 | + | 0.720791i | \(0.743779\pi\) | |||||||
\(468\) | 4.00000 | + | 6.00000i | 0.184900 | + | 0.277350i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.00000i | 0.415139i | ||||||||
\(471\) | −11.0000 | − | 19.0526i | −0.506853 | − | 0.877896i | ||||
\(472\) | 3.00000 | − | 5.19615i | 0.138086 | − | 0.239172i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −8.66025 | + | 5.00000i | −0.397779 | + | 0.229658i | ||||
\(475\) | 24.0000i | 1.10120i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 12.0000 | 0.549442 | ||||||||
\(478\) | 4.50000 | + | 7.79423i | 0.205825 | + | 0.356500i | ||||
\(479\) | −33.7750 | − | 19.5000i | −1.54322 | − | 0.890978i | −0.998633 | − | 0.0522726i | \(-0.983354\pi\) |
−0.544586 | − | 0.838705i | \(-0.683313\pi\) | |||||||
\(480\) | 1.50000 | − | 2.59808i | 0.0684653 | − | 0.118585i | ||||
\(481\) | 9.69615 | + | 4.79423i | 0.442106 | + | 0.218598i | ||||
\(482\) | 30.0000 | 1.36646 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −11.0000 | −0.500000 | ||||||||
\(485\) | 18.0000 | + | 31.1769i | 0.817338 | + | 1.41567i | ||||
\(486\) | 13.8564 | + | 8.00000i | 0.628539 | + | 0.362887i | ||||
\(487\) | 10.3923 | + | 6.00000i | 0.470920 | + | 0.271886i | 0.716625 | − | 0.697459i | \(-0.245686\pi\) |
−0.245705 | + | 0.969345i | \(0.579019\pi\) | |||||||
\(488\) | 6.92820 | − | 4.00000i | 0.313625 | − | 0.181071i | ||||
\(489\) | − | 6.00000i | − | 0.271329i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 27.0000 | 1.21849 | 0.609246 | − | 0.792981i | \(-0.291472\pi\) | ||||
0.609246 | + | 0.792981i | \(0.291472\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −21.5885 | + | 1.39230i | −0.971311 | + | 0.0626428i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.00000 | 0.268866 | ||||||||
\(499\) | −31.1769 | + | 18.0000i | −1.39567 | + | 0.805791i | −0.993935 | − | 0.109965i | \(-0.964926\pi\) |
−0.401735 | + | 0.915756i | \(0.631593\pi\) | |||||||
\(500\) | −2.59808 | − | 1.50000i | −0.116190 | − | 0.0670820i | ||||
\(501\) | −10.3923 | − | 6.00000i | −0.464294 | − | 0.268060i | ||||
\(502\) | 10.3923 | − | 6.00000i | 0.463831 | − | 0.267793i | ||||
\(503\) | −6.00000 | −0.267527 | −0.133763 | − | 0.991013i | \(-0.542706\pi\) | ||||
−0.133763 | + | 0.991013i | \(0.542706\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 36.0000i | − | 1.60198i | ||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 7.89230 | + | 10.3301i | 0.350510 | + | 0.458777i | ||||
\(508\) | −1.00000 | + | 1.73205i | −0.0443678 | + | 0.0768473i | ||||
\(509\) | −5.19615 | + | 3.00000i | −0.230315 | + | 0.132973i | −0.610718 | − | 0.791849i | \(-0.709119\pi\) |
0.380402 | + | 0.924821i | \(0.375786\pi\) | |||||||
\(510\) | −9.00000 | −0.398527 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −25.9808 | + | 15.0000i | −1.14708 | + | 0.662266i | ||||
\(514\) | −2.59808 | − | 1.50000i | −0.114596 | − | 0.0661622i | ||||
\(515\) | 36.3731 | + | 21.0000i | 1.60279 | + | 0.925371i | ||||
\(516\) | 0.500000 | + | 0.866025i | 0.0220113 | + | 0.0381246i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 6.00000 | 0.263371 | ||||||||
\(520\) | −4.79423 | + | 9.69615i | −0.210241 | + | 0.425204i | ||||
\(521\) | −13.5000 | + | 23.3827i | −0.591446 | + | 1.02441i | 0.402592 | + | 0.915379i | \(0.368109\pi\) |
−0.994038 | + | 0.109035i | \(0.965224\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.00000 | + | 13.8564i | 0.349816 | + | 0.605898i | 0.986216 | − | 0.165460i | \(-0.0529109\pi\) |
−0.636401 | + | 0.771358i | \(0.719578\pi\) | |||||||
\(524\) | 3.00000 | 0.131056 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 24.0000i | 1.04645i | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.50000 | + | 11.2583i | −0.282609 | + | 0.489493i | ||||
\(530\) | 9.00000 | + | 15.5885i | 0.390935 | + | 0.677119i | ||||
\(531\) | 12.0000i | 0.520756i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 3.00000 | + | 5.19615i | 0.129823 | + | 0.224860i | ||||
\(535\) | −31.1769 | − | 18.0000i | −1.34790 | − | 0.778208i | ||||
\(536\) | 6.00000 | − | 10.3923i | 0.259161 | − | 0.448879i | ||||
\(537\) | 7.50000 | + | 12.9904i | 0.323649 | + | 0.560576i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 15.0000i | 0.645497i | ||||||||
\(541\) | −12.9904 | + | 7.50000i | −0.558500 | + | 0.322450i | −0.752543 | − | 0.658543i | \(-0.771173\pi\) |
0.194043 | + | 0.980993i | \(0.437840\pi\) | |||||||
\(542\) | 7.50000 | − | 12.9904i | 0.322153 | − | 0.557985i | ||||
\(543\) | 1.00000 | − | 1.73205i | 0.0429141 | − | 0.0743294i | ||||
\(544\) | 2.59808 | − | 1.50000i | 0.111392 | − | 0.0643120i | ||||
\(545\) | 27.0000 | 1.15655 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −37.0000 | −1.58201 | −0.791003 | − | 0.611812i | \(-0.790441\pi\) | ||||
−0.791003 | + | 0.611812i | \(0.790441\pi\) | |||||||
\(548\) | −15.5885 | + | 9.00000i | −0.665906 | + | 0.384461i | ||||
\(549\) | −8.00000 | + | 13.8564i | −0.341432 | + | 0.591377i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | − | 6.00000i | − | 0.255377i | ||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 8.00000i | 0.339887i | ||||||||
\(555\) | 4.50000 | + | 7.79423i | 0.191014 | + | 0.330847i | ||||
\(556\) | 2.50000 | − | 4.33013i | 0.106024 | − | 0.183638i | ||||
\(557\) | 23.3827 | + | 13.5000i | 0.990756 | + | 0.572013i | 0.905500 | − | 0.424346i | \(-0.139496\pi\) |
0.0852559 | + | 0.996359i | \(0.472829\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.00000 | − | 3.00000i | −0.0845910 | − | 0.126886i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −15.0000 | − | 25.9808i | −0.632737 | − | 1.09593i | ||||
\(563\) | −19.5000 | + | 33.7750i | −0.821827 | + | 1.42345i | 0.0824933 | + | 0.996592i | \(0.473712\pi\) |
−0.904320 | + | 0.426855i | \(0.859622\pi\) | |||||||
\(564\) | −2.59808 | − | 1.50000i | −0.109399 | − | 0.0631614i | ||||
\(565\) | 15.5885 | − | 9.00000i | 0.655811 | − | 0.378633i | ||||
\(566\) | 4.00000i | 0.168133i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 15.0000 | 0.629386 | ||||||||
\(569\) | −22.5000 | − | 38.9711i | −0.943249 | − | 1.63376i | −0.759220 | − | 0.650835i | \(-0.774419\pi\) |
−0.184030 | − | 0.982921i | \(-0.558914\pi\) | |||||||
\(570\) | −15.5885 | − | 9.00000i | −0.652929 | − | 0.376969i | ||||
\(571\) | 11.5000 | − | 19.9186i | 0.481260 | − | 0.833567i | −0.518509 | − | 0.855072i | \(-0.673513\pi\) |
0.999769 | + | 0.0215055i | \(0.00684595\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −12.0000 | −0.501307 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 24.0000 | 1.00087 | ||||||||
\(576\) | −1.00000 | − | 1.73205i | −0.0416667 | − | 0.0721688i | ||||
\(577\) | 36.3731 | + | 21.0000i | 1.51423 | + | 0.874241i | 0.999861 | + | 0.0166728i | \(0.00530737\pi\) |
0.514370 | + | 0.857569i | \(0.328026\pi\) | |||||||
\(578\) | 6.92820 | + | 4.00000i | 0.288175 | + | 0.166378i | ||||
\(579\) | −5.19615 | + | 3.00000i | −0.215945 | + | 0.124676i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −12.0000 | −0.497416 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −3.00000 | + | 5.19615i | −0.124141 | + | 0.215018i | ||||
\(585\) | −1.39230 | − | 21.5885i | −0.0575647 | − | 0.892573i | ||||
\(586\) | −4.50000 | − | 7.79423i | −0.185893 | − | 0.321977i | ||||
\(587\) | 18.0000i | 0.742940i | 0.928445 | + | 0.371470i | \(0.121146\pi\) | ||||
−0.928445 | + | 0.371470i | \(0.878854\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −15.5885 | + | 9.00000i | −0.641767 | + | 0.370524i | ||||
\(591\) | 2.59808 | + | 1.50000i | 0.106871 | + | 0.0617018i | ||||
\(592\) | −2.59808 | − | 1.50000i | −0.106780 | − | 0.0616496i | ||||
\(593\) | 31.1769 | − | 18.0000i | 1.28028 | − | 0.739171i | 0.303383 | − | 0.952869i | \(-0.401884\pi\) |
0.976900 | + | 0.213697i | \(0.0685507\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 6.00000i | 0.245770i | ||||||||
\(597\) | −10.0000 | − | 17.3205i | −0.409273 | − | 0.708881i | ||||
\(598\) | 1.39230 | + | 21.5885i | 0.0569356 | + | 0.882818i | ||||
\(599\) | 15.0000 | − | 25.9808i | 0.612883 | − | 1.06155i | −0.377869 | − | 0.925859i | \(-0.623343\pi\) |
0.990752 | − | 0.135686i | \(-0.0433238\pi\) | |||||||
\(600\) | −3.46410 | + | 2.00000i | −0.141421 | + | 0.0816497i | ||||
\(601\) | 37.0000 | 1.50926 | 0.754631 | − | 0.656150i | \(-0.227816\pi\) | ||||
0.754631 | + | 0.656150i | \(0.227816\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 24.0000i | 0.977356i | ||||||||
\(604\) | 12.9904 | − | 7.50000i | 0.528571 | − | 0.305171i | ||||
\(605\) | 28.5788 | + | 16.5000i | 1.16190 | + | 0.670820i | ||||
\(606\) | 10.3923 | + | 6.00000i | 0.422159 | + | 0.243733i | ||||
\(607\) | 11.0000 | + | 19.0526i | 0.446476 | + | 0.773320i | 0.998154 | − | 0.0607380i | \(-0.0193454\pi\) |
−0.551678 | + | 0.834058i | \(0.686012\pi\) | |||||||
\(608\) | 6.00000 | 0.243332 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −24.0000 | −0.971732 | ||||||||
\(611\) | 9.69615 | + | 4.79423i | 0.392264 | + | 0.193954i | ||||
\(612\) | −3.00000 | + | 5.19615i | −0.121268 | + | 0.210042i | ||||
\(613\) | −5.19615 | − | 3.00000i | −0.209871 | − | 0.121169i | 0.391381 | − | 0.920229i | \(-0.371998\pi\) |
−0.601251 | + | 0.799060i | \(0.705331\pi\) | |||||||
\(614\) | 9.00000 | + | 15.5885i | 0.363210 | + | 0.629099i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 12.0000i | − | 0.483102i | −0.970388 | − | 0.241551i | \(-0.922344\pi\) | ||
0.970388 | − | 0.241551i | \(-0.0776561\pi\) | |||||||
\(618\) | −12.1244 | + | 7.00000i | −0.487713 | + | 0.281581i | ||||
\(619\) | −20.7846 | − | 12.0000i | −0.835404 | − | 0.482321i | 0.0202954 | − | 0.999794i | \(-0.493539\pi\) |
−0.855699 | + | 0.517473i | \(0.826873\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 15.0000 | + | 25.9808i | 0.601929 | + | 1.04257i | ||||
\(622\) | − | 18.0000i | − | 0.721734i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −2.00000 | − | 3.00000i | −0.0800641 | − | 0.120096i | ||||
\(625\) | 14.5000 | + | 25.1147i | 0.580000 | + | 1.00459i | ||||
\(626\) | −16.4545 | − | 9.50000i | −0.657653 | − | 0.379696i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.0000 | − | 19.0526i | −0.438948 | − | 0.760280i | ||||
\(629\) | 9.00000i | 0.358854i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 15.0000i | − | 0.597141i | −0.954388 | − | 0.298570i | \(-0.903490\pi\) | ||
0.954388 | − | 0.298570i | \(-0.0965097\pi\) | |||||||
\(632\) | −8.66025 | + | 5.00000i | −0.344486 | + | 0.198889i | ||||
\(633\) | −11.5000 | + | 19.9186i | −0.457084 | + | 0.791693i | ||||
\(634\) | 9.00000 | − | 15.5885i | 0.357436 | − | 0.619097i | ||||
\(635\) | 5.19615 | − | 3.00000i | 0.206203 | − | 0.119051i | ||||
\(636\) | −6.00000 | −0.237915 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −25.9808 | + | 15.0000i | −1.02778 | + | 0.593391i | ||||
\(640\) | 1.50000 | − | 2.59808i | 0.0592927 | − | 0.102698i | ||||
\(641\) | 9.00000 | − | 15.5885i | 0.355479 | − | 0.615707i | −0.631721 | − | 0.775196i | \(-0.717651\pi\) |
0.987200 | + | 0.159489i | \(0.0509845\pi\) | |||||||
\(642\) | 10.3923 | − | 6.00000i | 0.410152 | − | 0.236801i | ||||
\(643\) | 36.0000i | 1.41970i | 0.704352 | + | 0.709851i | \(0.251238\pi\) | ||||
−0.704352 | + | 0.709851i | \(0.748762\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 3.00000i | − | 0.118125i | ||||||
\(646\) | −9.00000 | − | 15.5885i | −0.354100 | − | 0.613320i | ||||
\(647\) | 21.0000 | − | 36.3731i | 0.825595 | − | 1.42997i | −0.0758684 | − | 0.997118i | \(-0.524173\pi\) |
0.901464 | − | 0.432855i | \(-0.142494\pi\) | |||||||
\(648\) | 0.866025 | + | 0.500000i | 0.0340207 | + | 0.0196419i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 12.0000 | − | 8.00000i | 0.470679 | − | 0.313786i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | − | 6.00000i | − | 0.234978i | ||||||
\(653\) | 18.0000 | + | 31.1769i | 0.704394 | + | 1.22005i | 0.966910 | + | 0.255119i | \(0.0821147\pi\) |
−0.262515 | + | 0.964928i | \(0.584552\pi\) | |||||||
\(654\) | −4.50000 | + | 7.79423i | −0.175964 | + | 0.304778i | ||||
\(655\) | −7.79423 | − | 4.50000i | −0.304546 | − | 0.175830i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 12.0000i | − | 0.468165i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −25.9808 | − | 15.0000i | −1.01053 | − | 0.583432i | −0.0991864 | − | 0.995069i | \(-0.531624\pi\) |
−0.911348 | + | 0.411636i | \(0.864957\pi\) | |||||||
\(662\) | 15.0000 | − | 25.9808i | 0.582992 | − | 1.00977i | ||||
\(663\) | −4.79423 | + | 9.69615i | −0.186192 | + | 0.376567i | ||||
\(664\) | 6.00000 | 0.232845 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 6.00000 | 0.232495 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −10.3923 | − | 6.00000i | −0.402090 | − | 0.232147i | ||||
\(669\) | −7.79423 | − | 4.50000i | −0.301342 | − | 0.173980i | ||||
\(670\) | −31.1769 | + | 18.0000i | −1.20447 | + | 0.695401i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.00000 | −0.0385472 | −0.0192736 | − | 0.999814i | \(-0.506135\pi\) | ||||
−0.0192736 | + | 0.999814i | \(0.506135\pi\) | |||||||
\(674\) | 11.2583 | − | 6.50000i | 0.433655 | − | 0.250371i | ||||
\(675\) | 10.0000 | − | 17.3205i | 0.384900 | − | 0.666667i | ||||
\(676\) | 7.89230 | + | 10.3301i | 0.303550 | + | 0.397313i | ||||
\(677\) | −9.00000 | − | 15.5885i | −0.345898 | − | 0.599113i | 0.639618 | − | 0.768693i | \(-0.279092\pi\) |
−0.985517 | + | 0.169580i | \(0.945759\pi\) | |||||||
\(678\) | 6.00000i | 0.230429i | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −9.00000 | −0.345134 | ||||||||
\(681\) | 10.3923 | − | 6.00000i | 0.398234 | − | 0.229920i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −5.19615 | − | 3.00000i | −0.198825 | − | 0.114792i | 0.397282 | − | 0.917697i | \(-0.369953\pi\) |
−0.596107 | + | 0.802905i | \(0.703287\pi\) | |||||||
\(684\) | −10.3923 | + | 6.00000i | −0.397360 | + | 0.229416i | ||||
\(685\) | 54.0000 | 2.06323 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 9.00000i | − | 0.343371i | ||||||
\(688\) | 0.500000 | + | 0.866025i | 0.0190623 | + | 0.0330169i | ||||
\(689\) | 21.5885 | − | 1.39230i | 0.822455 | − | 0.0530426i | ||||
\(690\) | −9.00000 | + | 15.5885i | −0.342624 | + | 0.593442i | ||||
\(691\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(692\) | 6.00000 | 0.228086 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 33.0000i | 1.25266i | ||||||||
\(695\) | −12.9904 | + | 7.50000i | −0.492753 | + | 0.284491i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −10.5000 | − | 18.1865i | −0.397431 | − | 0.688370i | ||||
\(699\) | 21.0000 | 0.794293 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 42.0000 | 1.58632 | 0.793159 | − | 0.609015i | \(-0.208435\pi\) | ||||
0.793159 | + | 0.609015i | \(0.208435\pi\) | |||||||
\(702\) | 16.1603 | + | 7.99038i | 0.609929 | + | 0.301577i | ||||
\(703\) | −9.00000 | + | 15.5885i | −0.339441 | + | 0.587930i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4.50000 | + | 7.79423i | 0.169480 | + | 0.293548i | ||||
\(706\) | −6.00000 | −0.225813 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | − | 6.00000i | − | 0.225494i | ||||||
\(709\) | −5.19615 | + | 3.00000i | −0.195146 | + | 0.112667i | −0.594389 | − | 0.804178i | \(-0.702606\pi\) |
0.399244 | + | 0.916845i | \(0.369273\pi\) | |||||||
\(710\) | −38.9711 | − | 22.5000i | −1.46256 | − | 0.844410i | ||||
\(711\) | 10.0000 | − | 17.3205i | 0.375029 | − | 0.649570i | ||||
\(712\) | 3.00000 | + | 5.19615i | 0.112430 | + | 0.194734i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 7.50000 | + | 12.9904i | 0.280288 | + | 0.485473i | ||||
\(717\) | 7.79423 | + | 4.50000i | 0.291081 | + | 0.168056i | ||||
\(718\) | 12.0000 | − | 20.7846i | 0.447836 | − | 0.775675i | ||||
\(719\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(720\) | 6.00000i | 0.223607i | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | − | 17.0000i | − | 0.632674i | ||||||
\(723\) | 25.9808 | − | 15.0000i | 0.966235 | − | 0.557856i | ||||
\(724\) | 1.00000 | − | 1.73205i | 0.0371647 | − | 0.0643712i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −9.52628 | + | 5.50000i | −0.353553 | + | 0.204124i | ||||
\(727\) | 28.0000 | 1.03846 | 0.519231 | − | 0.854634i | \(-0.326218\pi\) | ||||
0.519231 | + | 0.854634i | \(0.326218\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.0000 | 0.481481 | ||||||||
\(730\) | 15.5885 | − | 9.00000i | 0.576955 | − | 0.333105i | ||||
\(731\) | 1.50000 | − | 2.59808i | 0.0554795 | − | 0.0960933i | ||||
\(732\) | 4.00000 | − | 6.92820i | 0.147844 | − | 0.256074i | ||||
\(733\) | −7.79423 | + | 4.50000i | −0.287886 | + | 0.166211i | −0.636988 | − | 0.770873i | \(-0.719820\pi\) |
0.349102 | + | 0.937085i | \(0.386487\pi\) | |||||||
\(734\) | 8.00000i | 0.295285i | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 6.00000i | − | 0.221163i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 31.1769 | + | 18.0000i | 1.14686 | + | 0.662141i | 0.948120 | − | 0.317911i | \(-0.102981\pi\) |
0.198741 | + | 0.980052i | \(0.436315\pi\) | |||||||
\(740\) | 4.50000 | + | 7.79423i | 0.165423 | + | 0.286522i | ||||
\(741\) | −18.0000 | + | 12.0000i | −0.661247 | + | 0.440831i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 39.0000i | − | 1.43077i | −0.698730 | − | 0.715386i | \(-0.746251\pi\) | ||
0.698730 | − | 0.715386i | \(-0.253749\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.00000 | − | 15.5885i | 0.329734 | − | 0.571117i | ||||
\(746\) | −3.46410 | − | 2.00000i | −0.126830 | − | 0.0732252i | ||||
\(747\) | −10.3923 | + | 6.00000i | −0.380235 | + | 0.219529i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −3.00000 | −0.109545 | ||||||||
\(751\) | −16.0000 | − | 27.7128i | −0.583848 | − | 1.01125i | −0.995018 | − | 0.0996961i | \(-0.968213\pi\) |
0.411170 | − | 0.911559i | \(-0.365120\pi\) | |||||||
\(752\) | −2.59808 | − | 1.50000i | −0.0947421 | − | 0.0546994i | ||||
\(753\) | 6.00000 | − | 10.3923i | 0.218652 | − | 0.378717i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −45.0000 | −1.63772 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.00000 | −0.0726912 | −0.0363456 | − | 0.999339i | \(-0.511572\pi\) | ||||
−0.0363456 | + | 0.999339i | \(0.511572\pi\) | |||||||
\(758\) | −3.00000 | − | 5.19615i | −0.108965 | − | 0.188733i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −15.5885 | − | 9.00000i | −0.565453 | − | 0.326464i | ||||
\(761\) | −25.9808 | + | 15.0000i | −0.941802 | + | 0.543750i | −0.890525 | − | 0.454935i | \(-0.849663\pi\) |
−0.0512772 | + | 0.998684i | \(0.516329\pi\) | |||||||
\(762\) | 2.00000i | 0.0724524i | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −12.0000 | −0.434145 | ||||||||
\(765\) | 15.5885 | − | 9.00000i | 0.563602 | − | 0.325396i | ||||
\(766\) | −4.50000 | + | 7.79423i | −0.162592 | + | 0.281617i | ||||
\(767\) | 1.39230 | + | 21.5885i | 0.0502732 | + | 0.779514i | ||||
\(768\) | 0.500000 | + | 0.866025i | 0.0180422 | + | 0.0312500i | ||||
\(769\) | 24.0000i | 0.865462i | 0.901523 | + | 0.432731i | \(0.142450\pi\) | ||||
−0.901523 | + | 0.432731i | \(0.857550\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.00000 | −0.108042 | ||||||||
\(772\) | −5.19615 | + | 3.00000i | −0.187014 | + | 0.107972i | ||||
\(773\) | −18.1865 | − | 10.5000i | −0.654124 | − | 0.377659i | 0.135910 | − | 0.990721i | \(-0.456604\pi\) |
−0.790034 | + | 0.613062i | \(0.789937\pi\) | |||||||
\(774\) | −1.73205 | − | 1.00000i | −0.0622573 | − | 0.0359443i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −12.0000 | −0.430775 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 30.0000i | − | 1.07555i | ||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0.696152 | + | 10.7942i | 0.0249263 | + | 0.386495i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −15.5885 | + | 9.00000i | −0.557442 | + | 0.321839i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 66.0000i | 2.35564i | ||||||||
\(786\) | 2.59808 | − | 1.50000i | 0.0926703 | − | 0.0535032i | ||||
\(787\) | 10.3923 | + | 6.00000i | 0.370446 | + | 0.213877i | 0.673653 | − | 0.739048i | \(-0.264724\pi\) |
−0.303207 | + | 0.952925i | \(0.598058\pi\) | |||||||
\(788\) | 2.59808 | + | 1.50000i | 0.0925526 | + | 0.0534353i | ||||
\(789\) | 12.0000 | + | 20.7846i | 0.427211 | + | 0.739952i | ||||
\(790\) | 30.0000 | 1.06735 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −12.7846 | + | 25.8564i | −0.453995 | + | 0.918188i | ||||
\(794\) | 9.00000 | − | 15.5885i | 0.319398 | − | 0.553214i | ||||
\(795\) | 15.5885 | + | 9.00000i | 0.552866 | + | 0.319197i | ||||
\(796\) | −10.0000 | − | 17.3205i | −0.354441 | − | 0.613909i | ||||
\(797\) | 18.0000 | 0.637593 | 0.318796 | − | 0.947823i | \(-0.396721\pi\) | ||||
0.318796 | + | 0.947823i | \(0.396721\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.00000i | 0.318397i | ||||||||
\(800\) | −3.46410 | + | 2.00000i | −0.122474 | + | 0.0707107i | ||||
\(801\) | −10.3923 | − | 6.00000i | −0.367194 | − | 0.212000i | ||||
\(802\) | 15.0000 | − | 25.9808i | 0.529668 | − | 0.917413i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 12.0000i | − | 0.423207i | ||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 10.3923 | + | 6.00000i | 0.365600 | + | 0.211079i | ||||
\(809\) | −7.50000 | + | 12.9904i | −0.263686 | + | 0.456717i | −0.967219 | − | 0.253946i | \(-0.918272\pi\) |
0.703533 | + | 0.710663i | \(0.251605\pi\) | |||||||
\(810\) | −1.50000 | − | 2.59808i | −0.0527046 | − | 0.0912871i | ||||
\(811\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 15.0000i | − | 0.526073i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −9.00000 | + | 15.5885i | −0.315256 | + | 0.546040i | ||||
\(816\) | 1.50000 | − | 2.59808i | 0.0525105 | − | 0.0909509i | ||||
\(817\) | 5.19615 | − | 3.00000i | 0.181790 | − | 0.104957i | ||||
\(818\) | 6.00000 | 0.209785 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 38.9711 | − | 22.5000i | 1.36010 | − | 0.785255i | 0.370465 | − | 0.928846i | \(-0.379198\pi\) |
0.989637 | + | 0.143591i | \(0.0458650\pi\) | |||||||
\(822\) | −9.00000 | + | 15.5885i | −0.313911 | + | 0.543710i | ||||
\(823\) | −7.00000 | + | 12.1244i | −0.244005 | + | 0.422628i | −0.961851 | − | 0.273573i | \(-0.911795\pi\) |
0.717847 | + | 0.696201i | \(0.245128\pi\) | |||||||
\(824\) | −12.1244 | + | 7.00000i | −0.422372 | + | 0.243857i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 18.0000i | 0.625921i | 0.949766 | + | 0.312961i | \(0.101321\pi\) | ||||
−0.949766 | + | 0.312961i | \(0.898679\pi\) | |||||||
\(828\) | 6.00000 | + | 10.3923i | 0.208514 | + | 0.361158i | ||||
\(829\) | 10.0000 | − | 17.3205i | 0.347314 | − | 0.601566i | −0.638457 | − | 0.769657i | \(-0.720427\pi\) |
0.985771 | + | 0.168091i | \(0.0537604\pi\) | |||||||
\(830\) | −15.5885 | − | 9.00000i | −0.541083 | − | 0.312395i | ||||
\(831\) | 4.00000 | + | 6.92820i | 0.138758 | + | 0.240337i | ||||
\(832\) | −2.00000 | − | 3.00000i | −0.0693375 | − | 0.104006i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | − | 5.00000i | − | 0.173136i | ||||||
\(835\) | 18.0000 | + | 31.1769i | 0.622916 | + | 1.07892i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 12.9904 | − | 7.50000i | 0.448745 | − | 0.259083i | ||||
\(839\) | 24.0000i | 0.828572i | 0.910147 | + | 0.414286i | \(0.135969\pi\) | ||||
−0.910147 | + | 0.414286i | \(0.864031\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −29.0000 | −1.00000 | ||||||||
\(842\) | −7.50000 | − | 12.9904i | −0.258467 | − | 0.447678i | ||||
\(843\) | −25.9808 | − | 15.0000i | −0.894825 | − | 0.516627i | ||||
\(844\) | −11.5000 | + | 19.9186i | −0.395846 | + | 0.685626i | ||||
\(845\) | −5.00962 | − | 38.6769i | −0.172336 | − | 1.33053i | ||||
\(846\) | 6.00000 | 0.206284 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −6.00000 | −0.206041 | ||||||||
\(849\) | 2.00000 | + | 3.46410i | 0.0686398 | + | 0.118888i | ||||
\(850\) | 10.3923 | + | 6.00000i | 0.356453 | + | 0.205798i | ||||
\(851\) | 15.5885 | + | 9.00000i | 0.534365 | + | 0.308516i | ||||
\(852\) | 12.9904 | − | 7.50000i | 0.445043 | − | 0.256946i | ||||
\(853\) | − | 39.0000i | − | 1.33533i | −0.744460 | − | 0.667667i | \(-0.767293\pi\) | ||
0.744460 | − | 0.667667i | \(-0.232707\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 36.0000 | 1.23117 | ||||||||
\(856\) | 10.3923 | − | 6.00000i | 0.355202 | − | 0.205076i | ||||
\(857\) | −9.00000 | + | 15.5885i | −0.307434 | + | 0.532492i | −0.977800 | − | 0.209539i | \(-0.932804\pi\) |
0.670366 | + | 0.742030i | \(0.266137\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −20.0000 | − | 34.6410i | −0.682391 | − | 1.18194i | −0.974249 | − | 0.225475i | \(-0.927607\pi\) |
0.291858 | − | 0.956462i | \(-0.405727\pi\) | |||||||
\(860\) | − | 3.00000i | − | 0.102299i | ||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 15.0000 | 0.510902 | ||||||||
\(863\) | −33.7750 | + | 19.5000i | −1.14971 | + | 0.663788i | −0.948818 | − | 0.315825i | \(-0.897719\pi\) |
−0.200897 | + | 0.979612i | \(0.564385\pi\) | |||||||
\(864\) | −4.33013 | − | 2.50000i | −0.147314 | − | 0.0850517i | ||||
\(865\) | −15.5885 | − | 9.00000i | −0.530023 | − | 0.306009i | ||||
\(866\) | −9.52628 | + | 5.50000i | −0.323716 | + | 0.186898i | ||||
\(867\) | 8.00000 | 0.271694 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.78461 | + | 43.1769i | 0.0943529 | + | 1.46299i | ||||
\(872\) | −4.50000 | + | 7.79423i | −0.152389 | + | 0.263946i | ||||
\(873\) | 20.7846 | − | 12.0000i | 0.703452 | − | 0.406138i | ||||
\(874\) | −36.0000 | −1.21772 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 6.00000i | 0.202721i | ||||||||
\(877\) | 2.59808 | − | 1.50000i | 0.0877308 | − | 0.0506514i | −0.455493 | − | 0.890239i | \(-0.650537\pi\) |
0.543224 | + | 0.839588i | \(0.317204\pi\) | |||||||
\(878\) | 8.66025 | + | 5.00000i | 0.292269 | + | 0.168742i | ||||
\(879\) | −7.79423 | − | 4.50000i | −0.262893 | − | 0.151781i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −33.0000 | −1.11180 | −0.555899 | − | 0.831250i | \(-0.687626\pi\) | ||||
−0.555899 | + | 0.831250i | \(0.687626\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −11.0000 | −0.370179 | −0.185090 | − | 0.982722i | \(-0.559258\pi\) | ||||
−0.185090 | + | 0.982722i | \(0.559258\pi\) | |||||||
\(884\) | −4.79423 | + | 9.69615i | −0.161247 | + | 0.326117i | ||||
\(885\) | −9.00000 | + | 15.5885i | −0.302532 | + | 0.524000i | ||||
\(886\) | 18.1865 | + | 10.5000i | 0.610989 | + | 0.352754i | ||||
\(887\) | 6.00000 | + | 10.3923i | 0.201460 | + | 0.348939i | 0.948999 | − | 0.315279i | \(-0.102098\pi\) |
−0.747539 | + | 0.664218i | \(0.768765\pi\) | |||||||
\(888\) | −3.00000 | −0.100673 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | − | 18.0000i | − | 0.603361i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −7.79423 | − | 4.50000i | −0.260970 | − | 0.150671i | ||||
\(893\) | −9.00000 | + | 15.5885i | −0.301174 | + | 0.521648i | ||||
\(894\) | 3.00000 | + | 5.19615i | 0.100335 | + | 0.173785i | ||||
\(895\) | − | 45.0000i | − | 1.50418i | ||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 12.0000 | + | 18.0000i | 0.400668 | + | 0.601003i | ||||
\(898\) | 12.0000 | + | 20.7846i | 0.400445 | + | 0.693591i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 4.00000 | − | 6.92820i | 0.133333 | − | 0.230940i | ||||
\(901\) | 9.00000 | + | 15.5885i | 0.299833 | + | 0.519327i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.00000i | 0.199557i | ||||||||
\(905\) | −5.19615 | + | 3.00000i | −0.172726 | + | 0.0997234i | ||||
\(906\) | 7.50000 | − | 12.9904i | 0.249171 | − | 0.431577i | ||||
\(907\) | 8.50000 | − | 14.7224i | 0.282238 | − | 0.488850i | −0.689698 | − | 0.724097i | \(-0.742257\pi\) |
0.971936 | + | 0.235247i | \(0.0755899\pi\) | |||||||
\(908\) | 10.3923 | − | 6.00000i | 0.344881 | − | 0.199117i | ||||
\(909\) | −24.0000 | −0.796030 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.0000 | 0.397578 | 0.198789 | − | 0.980042i | \(-0.436299\pi\) | ||||
0.198789 | + | 0.980042i | \(0.436299\pi\) | |||||||
\(912\) | 5.19615 | − | 3.00000i | 0.172062 | − | 0.0993399i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 9.00000 | − | 15.5885i | 0.297694 | − | 0.515620i | ||||
\(915\) | −20.7846 | + | 12.0000i | −0.687118 | + | 0.396708i | ||||
\(916\) | − | 9.00000i | − | 0.297368i | ||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 15.0000i | 0.495074i | ||||||||
\(919\) | 10.0000 | + | 17.3205i | 0.329870 | + | 0.571351i | 0.982486 | − | 0.186338i | \(-0.0596619\pi\) |
−0.652616 | + | 0.757689i | \(0.726329\pi\) | |||||||
\(920\) | −9.00000 | + | 15.5885i | −0.296721 | + | 0.513936i | ||||
\(921\) | 15.5885 | + | 9.00000i | 0.513657 | + | 0.296560i | ||||
\(922\) | −7.50000 | − | 12.9904i | −0.246999 | − | 0.427815i | ||||
\(923\) | −45.0000 | + | 30.0000i | −1.48119 | + | 0.987462i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 12.0000i | − | 0.394558i | ||||||
\(926\) | −12.0000 | − | 20.7846i | −0.394344 | − | 0.683025i | ||||
\(927\) | 14.0000 | − | 24.2487i | 0.459820 | − | 0.796432i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −31.1769 | + | 18.0000i | −1.02288 | + | 0.590561i | −0.914937 | − | 0.403596i | \(-0.867760\pi\) |
−0.107944 | + | 0.994157i | \(0.534427\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 21.0000 | 0.687878 | ||||||||
\(933\) | −9.00000 | − | 15.5885i | −0.294647 | − | 0.510343i | ||||
\(934\) | 10.3923 | + | 6.00000i | 0.340047 | + | 0.196326i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 6.46410 | + | 3.19615i | 0.211286 | + | 0.104470i | ||||
\(937\) | −2.00000 | −0.0653372 | −0.0326686 | − | 0.999466i | \(-0.510401\pi\) | ||||
−0.0326686 | + | 0.999466i | \(0.510401\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −19.0000 | −0.620042 | ||||||||
\(940\) | 4.50000 | + | 7.79423i | 0.146774 | + | 0.254220i | ||||
\(941\) | 38.9711 | + | 22.5000i | 1.27042 | + | 0.733479i | 0.975068 | − | 0.221908i | \(-0.0712286\pi\) |
0.295355 | + | 0.955387i | \(0.404562\pi\) | |||||||
\(942\) | −19.0526 | − | 11.0000i | −0.620766 | − | 0.358399i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | − | 6.00000i | − | 0.195283i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 41.5692 | − | 24.0000i | 1.35082 | − | 0.779895i | 0.362454 | − | 0.932002i | \(-0.381939\pi\) |
0.988364 | + | 0.152106i | \(0.0486057\pi\) | |||||||
\(948\) | −5.00000 | + | 8.66025i | −0.162392 | + | 0.281272i | ||||
\(949\) | −1.39230 | − | 21.5885i | −0.0451961 | − | 0.700791i | ||||
\(950\) | 12.0000 | + | 20.7846i | 0.389331 | + | 0.674342i | ||||
\(951\) | − | 18.0000i | − | 0.583690i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 9.00000 | 0.291539 | 0.145769 | − | 0.989319i | \(-0.453434\pi\) | ||||
0.145769 | + | 0.989319i | \(0.453434\pi\) | |||||||
\(954\) | 10.3923 | − | 6.00000i | 0.336463 | − | 0.194257i | ||||
\(955\) | 31.1769 | + | 18.0000i | 1.00886 | + | 0.582466i | ||||
\(956\) | 7.79423 | + | 4.50000i | 0.252083 | + | 0.145540i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −39.0000 | −1.26003 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | − | 3.00000i | − | 0.0968246i | ||||||
\(961\) | −15.5000 | − | 26.8468i | −0.500000 | − | 0.866025i | ||||
\(962\) | 10.7942 | − | 0.696152i | 0.348020 | − | 0.0224449i | ||||
\(963\) | −12.0000 | + | 20.7846i | −0.386695 | + | 0.669775i | ||||
\(964\) | 25.9808 | − | 15.0000i | 0.836784 | − | 0.483117i | ||||
\(965\) | 18.0000 | 0.579441 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.00000i | 0.0964735i | 0.998836 | + | 0.0482367i | \(0.0153602\pi\) | ||||
−0.998836 | + | 0.0482367i | \(0.984640\pi\) | |||||||
\(968\) | −9.52628 | + | 5.50000i | −0.306186 | + | 0.176777i | ||||
\(969\) | −15.5885 | − | 9.00000i | −0.500773 | − | 0.289122i | ||||
\(970\) | 31.1769 | + | 18.0000i | 1.00103 | + | 0.577945i | ||||
\(971\) | −13.5000 | − | 23.3827i | −0.433236 | − | 0.750386i | 0.563914 | − | 0.825833i | \(-0.309295\pi\) |
−0.997150 | + | 0.0754473i | \(0.975962\pi\) | |||||||
\(972\) | 16.0000 | 0.513200 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 12.0000 | 0.384505 | ||||||||
\(975\) | 6.39230 | − | 12.9282i | 0.204718 | − | 0.414034i | ||||
\(976\) | 4.00000 | − | 6.92820i | 0.128037 | − | 0.221766i | ||||
\(977\) | 10.3923 | + | 6.00000i | 0.332479 | + | 0.191957i | 0.656941 | − | 0.753942i | \(-0.271850\pi\) |
−0.324462 | + | 0.945899i | \(0.605183\pi\) | |||||||
\(978\) | −3.00000 | − | 5.19615i | −0.0959294 | − | 0.166155i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 18.0000i | − | 0.574696i | ||||||
\(982\) | 23.3827 | − | 13.5000i | 0.746171 | − | 0.430802i | ||||
\(983\) | 7.79423 | + | 4.50000i | 0.248597 | + | 0.143528i | 0.619122 | − | 0.785295i | \(-0.287489\pi\) |
−0.370525 | + | 0.928823i | \(0.620822\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.50000 | − | 7.79423i | −0.143382 | − | 0.248345i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −18.0000 | + | 12.0000i | −0.572656 | + | 0.381771i | ||||
\(989\) | −3.00000 | − | 5.19615i | −0.0953945 | − | 0.165228i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.00000 | + | 1.73205i | −0.0317660 | + | 0.0550204i | −0.881471 | − | 0.472237i | \(-0.843446\pi\) |
0.849705 | + | 0.527258i | \(0.176780\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 30.0000i | − | 0.952021i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 60.0000i | 1.90213i | ||||||||
\(996\) | 5.19615 | − | 3.00000i | 0.164646 | − | 0.0950586i | ||||
\(997\) | −4.00000 | + | 6.92820i | −0.126681 | + | 0.219418i | −0.922389 | − | 0.386263i | \(-0.873766\pi\) |
0.795708 | + | 0.605681i | \(0.207099\pi\) | |||||||
\(998\) | −18.0000 | + | 31.1769i | −0.569780 | + | 0.986888i | ||||
\(999\) | 12.9904 | − | 7.50000i | 0.410997 | − | 0.237289i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))