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 | 961.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1274.961 |
Dual form | 1274.2.n.c.753.2 |
$q$-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 \(\left(\mathbb{Z}/1274\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(885\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | 0.684819 | − | 0.728714i | \(-0.259881\pi\) |
−0.973494 | + | 0.228714i | \(0.926548\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 2.59808 | + | 1.50000i | 1.16190 | + | 0.670820i | 0.951757 | − | 0.306851i | \(-0.0992755\pi\) |
0.210138 | + | 0.977672i | \(0.432609\pi\) | |||||||
\(6\) | − | 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 | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(12\) | 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 | \(-0.0481447\pi\) |
−0.624780 | + | 0.780801i | \(0.714811\pi\) | |||||||
\(18\) | 1.73205 | − | 1.00000i | 0.408248 | − | 0.235702i | ||||
\(19\) | 5.19615 | + | 3.00000i | 1.19208 | + | 0.688247i | 0.958778 | − | 0.284157i | \(-0.0917138\pi\) |
0.233301 | + | 0.972404i | \(0.425047\pi\) | |||||||
\(20\) | 3.00000i | 0.670820i | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.00000 | − | 5.19615i | 0.625543 | − | 1.08347i | −0.362892 | − | 0.931831i | \(-0.618211\pi\) |
0.988436 | − | 0.151642i | \(-0.0484560\pi\) | |||||||
\(24\) | 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 | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(32\) | −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 | 0.698119 | − | 0.715981i | \(-0.254020\pi\) |
−0.270998 | + | 0.962580i | \(0.587354\pi\) | |||||||
\(38\) | 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 | \(-0.403547\pi\) |
−0.677369 | + | 0.735643i | \(0.736880\pi\) | |||||||
\(48\) | 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 | 0.995117 | − | 0.0987002i | \(-0.0314685\pi\) |
−0.583036 | + | 0.812447i | \(0.698135\pi\) | |||||||
\(54\) | −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 | \(-0.794388\pi\) |
0.122047 | + | 0.992524i | \(0.461054\pi\) | |||||||
\(60\) | 2.59808 | − | 1.50000i | 0.335410 | − | 0.193649i | ||||
\(61\) | −4.00000 | + | 6.92820i | −0.512148 | + | 0.887066i | 0.487753 | + | 0.872982i | \(0.337817\pi\) |
−0.999901 | + | 0.0140840i | \(0.995517\pi\) | |||||||
\(62\) | 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 | 0.294706 | − | 0.955588i | \(-0.404778\pi\) |
0.974916 | + | 0.222571i | \(0.0714450\pi\) | |||||||
\(68\) | −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 | \(-0.650644\pi\) | ||
0.455792 | − | 0.890086i | \(-0.349356\pi\) | |||||||
\(72\) | 1.73205 | + | 1.00000i | 0.204124 | + | 0.117851i | ||||
\(73\) | 5.19615 | − | 3.00000i | 0.608164 | − | 0.351123i | −0.164083 | − | 0.986447i | \(-0.552466\pi\) |
0.772246 | + | 0.635323i | \(0.219133\pi\) | |||||||
\(74\) | 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 | 0.434730 | + | 0.900561i | \(0.356844\pi\) |
−0.997274 | + | 0.0737937i | \(0.976489\pi\) | |||||||
\(80\) | −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 | \(-0.230322\pi\) |
−0.198650 | + | 0.980071i | \(0.563656\pi\) | |||||||
\(90\) | 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 | 0.993258 | + | 0.115924i | \(0.0369830\pi\) |
−0.396236 | + | 0.918149i | \(0.629684\pi\) | |||||||
\(102\) | 2.59808 | − | 1.50000i | 0.257248 | − | 0.148522i | ||||
\(103\) | 7.00000 | − | 12.1244i | 0.689730 | − | 1.19465i | −0.282194 | − | 0.959357i | \(-0.591062\pi\) |
0.971925 | − | 0.235291i | \(-0.0756043\pi\) | |||||||
\(104\) | −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 | −0.415432 | − | 0.909624i | \(-0.636370\pi\) |
0.995474 | − | 0.0950377i | \(-0.0302972\pi\) | |||||||
\(108\) | −2.50000 | − | 4.33013i | −0.240563 | − | 0.416667i | ||||
\(109\) | −7.79423 | + | 4.50000i | −0.746552 | + | 0.431022i | −0.824447 | − | 0.565940i | \(-0.808513\pi\) |
0.0778949 | + | 0.996962i | \(0.475180\pi\) | |||||||
\(110\) | 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 | \(-0.875170\pi\) |
0.793028 | + | 0.609185i | \(0.208503\pi\) | |||||||
\(132\) | 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 | −0.985577 | − | 0.169226i | \(-0.945873\pi\) |
−0.346235 | + | 0.938148i | \(0.612540\pi\) | |||||||
\(138\) | −5.19615 | − | 3.00000i | −0.442326 | − | 0.255377i | ||||
\(139\) | −5.00000 | −0.424094 | −0.212047 | − | 0.977259i | \(-0.568013\pi\) | ||||
−0.212047 | + | 0.977259i | \(0.568013\pi\) | |||||||
\(140\) | 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 | 0.271821 | − | 0.962348i | \(-0.412374\pi\) |
−0.697507 | + | 0.716578i | \(0.745707\pi\) | |||||||
\(150\) | 3.46410 | − | 2.00000i | 0.282843 | − | 0.163299i | ||||
\(151\) | 12.9904 | − | 7.50000i | 1.05714 | − | 0.610341i | 0.132502 | − | 0.991183i | \(-0.457699\pi\) |
0.924640 | + | 0.380841i | \(0.124366\pi\) | |||||||
\(152\) | −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 | −0.853646 | − | 0.520854i | \(-0.825614\pi\) |
−0.0242497 | − | 0.999706i | \(-0.507720\pi\) | |||||||
\(158\) | −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 | 0.689497 | − | 0.724288i | \(-0.257831\pi\) |
−0.282503 | + | 0.959266i | \(0.591165\pi\) | |||||||
\(164\) | 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 | \(-0.906580\pi\) |
0.729155 | + | 0.684349i | \(0.239913\pi\) | |||||||
\(174\) | 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 | −0.997446 | − | 0.0714220i | \(-0.977246\pi\) |
0.436870 | − | 0.899525i | \(-0.356087\pi\) | |||||||
\(180\) | 5.19615 | + | 3.00000i | 0.387298 | + | 0.223607i | ||||
\(181\) | −2.00000 | −0.148659 | −0.0743294 | − | 0.997234i | \(-0.523682\pi\) | ||||
−0.0743294 | + | 0.997234i | \(0.523682\pi\) | |||||||
\(182\) | 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 | −0.997225 | − | 0.0744412i | \(-0.976283\pi\) |
0.563081 | + | 0.826402i | \(0.309616\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | −5.19615 | + | 3.00000i | −0.374027 | + | 0.215945i | −0.675216 | − | 0.737620i | \(-0.735950\pi\) |
0.301189 | + | 0.953564i | \(0.402616\pi\) | |||||||
\(194\) | 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 | \(-0.965917\pi\) | ||
0.994273 | − | 0.106871i | \(-0.0340831\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.0000 | − | 17.3205i | −0.708881 | − | 1.22782i | −0.965272 | − | 0.261245i | \(-0.915867\pi\) |
0.256391 | − | 0.966573i | \(-0.417466\pi\) | |||||||
\(200\) | −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 | \(-0.797043\pi\) |
0.113761 | + | 0.993508i | \(0.463710\pi\) | |||||||
\(228\) | 5.19615 | − | 3.00000i | 0.344124 | − | 0.198680i | ||||
\(229\) | −7.79423 | − | 4.50000i | −0.515057 | − | 0.297368i | 0.219853 | − | 0.975533i | \(-0.429442\pi\) |
−0.734910 | + | 0.678165i | \(0.762776\pi\) | |||||||
\(230\) | 18.0000 | 1.18688 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.5000 | − | 18.1865i | 0.687878 | − | 1.19144i | −0.284645 | − | 0.958633i | \(-0.591876\pi\) |
0.972523 | − | 0.232806i | \(-0.0747909\pi\) | |||||||
\(234\) | −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 | \(-0.905985\pi\) | ||
0.956698 | − | 0.291081i | \(-0.0940149\pi\) | |||||||
\(240\) | 2.59808 | + | 1.50000i | 0.167705 | + | 0.0968246i | ||||
\(241\) | −25.9808 | + | 15.0000i | −1.67357 | + | 0.966235i | −0.707953 | + | 0.706260i | \(0.750381\pi\) |
−0.965615 | + | 0.259975i | \(0.916286\pi\) | |||||||
\(242\) | −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 | \(-0.623635\pi\) | ||||
−0.378717 | + | 0.925513i | \(0.623635\pi\) | |||||||
\(252\) | 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 | \(-0.803506\pi\) |
0.909010 | + | 0.416775i | \(0.136840\pi\) | |||||||
\(258\) | 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 | −0.952517 | − | 0.304487i | \(-0.901515\pi\) |
0.212565 | − | 0.977147i | \(-0.431818\pi\) | |||||||
\(264\) | 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 | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(270\) | −7.50000 | − | 12.9904i | −0.456435 | − | 0.790569i | ||||
\(271\) | −12.9904 | − | 7.50000i | −0.789109 | − | 0.455593i | 0.0505395 | − | 0.998722i | \(-0.483906\pi\) |
−0.839649 | + | 0.543130i | \(0.817239\pi\) | |||||||
\(272\) | −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 | 0.720473 | − | 0.693482i | \(-0.243925\pi\) |
−0.960810 | + | 0.277207i | \(0.910591\pi\) | |||||||
\(278\) | −4.33013 | − | 2.50000i | −0.259704 | − | 0.149940i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 30.0000i | 1.78965i | 0.446417 | + | 0.894825i | \(0.352700\pi\) | ||||
−0.446417 | + | 0.894825i | \(0.647300\pi\) | |||||||
\(282\) | −1.50000 | + | 2.59808i | −0.0893237 | + | 0.154713i | ||||
\(283\) | 2.00000 | + | 3.46410i | 0.118888 | + | 0.205919i | 0.919327 | − | 0.393494i | \(-0.128734\pi\) |
−0.800439 | + | 0.599414i | \(0.795400\pi\) | |||||||
\(284\) | 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 | −0.999928 | − | 0.0119847i | \(-0.996185\pi\) |
0.489585 | − | 0.871956i | \(-0.337148\pi\) | |||||||
\(312\) | −0.232051 | + | 3.59808i | −0.0131373 | + | 0.203701i | ||||
\(313\) | 9.50000 | − | 16.4545i | 0.536972 | − | 0.930062i | −0.462093 | − | 0.886831i | \(-0.652902\pi\) |
0.999065 | − | 0.0432311i | \(-0.0137652\pi\) | |||||||
\(314\) | − | 22.0000i | − | 1.24153i | ||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −10.0000 | −0.562544 | ||||||||
\(317\) | 15.5885 | + | 9.00000i | 0.875535 | + | 0.505490i | 0.869184 | − | 0.494489i | \(-0.164645\pi\) |
0.00635137 | + | 0.999980i | \(0.497978\pi\) | |||||||
\(318\) | 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 | 0.996965 | − | 0.0778456i | \(-0.0248041\pi\) |
0.431066 | + | 0.902320i | \(0.358137\pi\) | |||||||
\(332\) | −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 | −0.844833 | − | 0.535031i | \(-0.820300\pi\) |
−0.0409337 | − | 0.999162i | \(-0.513033\pi\) | |||||||
\(348\) | 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 | \(-0.615622\pi\) |
0.631867 | + | 0.775077i | \(0.282289\pi\) | |||||||
\(354\) | 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 | 0.935423 | − | 0.353529i | \(-0.115019\pi\) |
0.161546 | + | 0.986865i | \(0.448352\pi\) | |||||||
\(360\) | 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 | \(-0.0997115\pi\) |
−0.742538 | + | 0.669804i | \(0.766378\pi\) | |||||||
\(368\) | 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 | −0.913147 | − | 0.407630i | \(-0.866355\pi\) |
0.809591 | + | 0.586994i | \(0.199689\pi\) | |||||||
\(374\) | 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 | \(0.0492477\pi\) | ||||
−0.988055 | + | 0.154100i | \(0.950752\pi\) | |||||||
\(380\) | −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 | \(-0.259481\pi\) |
−0.287469 | + | 0.957790i | \(0.592814\pi\) | |||||||
\(384\) | 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 | 0.942578 | + | 0.333987i | \(0.108394\pi\) |
−0.182047 | + | 0.983290i | \(0.558272\pi\) | |||||||
\(390\) | 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 | \(-0.482515\pi\) |
−0.837267 | + | 0.546795i | \(0.815848\pi\) | |||||||
\(398\) | − | 20.0000i | − | 1.00251i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.00000 | −0.200000 | ||||||||
\(401\) | 25.9808 | + | 15.0000i | 1.29742 | + | 0.749064i | 0.979957 | − | 0.199207i | \(-0.0638367\pi\) |
0.317460 | + | 0.948272i | \(0.397170\pi\) | |||||||
\(402\) | −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 | \(-0.714060\pi\) |
0.366002 | + | 0.930614i | \(0.380726\pi\) | |||||||
\(410\) | 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 | \(-0.619409\pi\) | ||||
−0.366399 | + | 0.930458i | \(0.619409\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.0000i | 0.731055i | 0.930800 | + | 0.365528i | \(0.119111\pi\) | ||||
−0.930800 | + | 0.365528i | \(0.880889\pi\) | |||||||
\(422\) | −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 | −0.153370 | − | 0.988169i | \(-0.549013\pi\) |
0.779094 | + | 0.626907i | \(0.215679\pi\) | |||||||
\(432\) | 2.50000 | − | 4.33013i | 0.120281 | − | 0.208333i | ||||
\(433\) | 11.0000 | 0.528626 | 0.264313 | − | 0.964437i | \(-0.414855\pi\) | ||||
0.264313 | + | 0.964437i | \(0.414855\pi\) | |||||||
\(434\) | 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 | \(-0.910034\pi\) |
0.721686 | + | 0.692220i | \(0.243367\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.00000 | − | 6.00000i | −0.428086 | − | 0.285391i | ||||
\(443\) | 10.5000 | − | 18.1865i | 0.498870 | − | 0.864068i | −0.501129 | − | 0.865373i | \(-0.667082\pi\) |
0.999999 | + | 0.00130426i | \(0.000415158\pi\) | |||||||
\(444\) | 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 | \(-0.808369\pi\) | ||
0.824189 | − | 0.566315i | \(-0.191631\pi\) | |||||||
\(450\) | 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 | 0.818128 | − | 0.575036i | \(-0.195012\pi\) |
−0.0889312 | + | 0.996038i | \(0.528345\pi\) | |||||||
\(458\) | −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 | \(0.188311\pi\) | ||||
−0.830051 | + | 0.557687i | \(0.811689\pi\) | |||||||
\(464\) | 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 | \(-0.922888\pi\) |
0.693153 | + | 0.720791i | \(0.256221\pi\) | |||||||
\(468\) | −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 | 0.544586 | − | 0.838705i | \(-0.316687\pi\) |
0.998633 | − | 0.0522726i | \(-0.0166465\pi\) | |||||||
\(480\) | 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 | −0.245705 | − | 0.969345i | \(-0.579019\pi\) |
0.716625 | + | 0.697459i | \(0.245686\pi\) | |||||||
\(488\) | −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 | −0.401735 | − | 0.915756i | \(-0.631593\pi\) |
−0.993935 | + | 0.109965i | \(0.964926\pi\) | |||||||
\(500\) | 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 | \(-0.457294\pi\) | ||||
0.133763 | + | 0.991013i | \(0.457294\pi\) | |||||||
\(504\) | 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 | \(-0.290881\pi\) |
−0.380402 | + | 0.924821i | \(0.624214\pi\) | |||||||
\(510\) | 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 | 0.994038 | + | 0.109035i | \(0.0347759\pi\) |
−0.402592 | + | 0.915379i | \(0.631891\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.00000 | + | 13.8564i | −0.349816 | + | 0.605898i | −0.986216 | − | 0.165460i | \(-0.947089\pi\) |
0.636401 | + | 0.771358i | \(0.280422\pi\) | |||||||
\(524\) | −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 | 0.194043 | − | 0.980993i | \(-0.437840\pi\) |
−0.752543 | + | 0.658543i | \(0.771173\pi\) | |||||||
\(542\) | −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 | 0.0852559 | − | 0.996359i | \(-0.472829\pi\) |
0.905500 | + | 0.424346i | \(0.139496\pi\) | |||||||
\(558\) | 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 | 0.904320 | + | 0.426855i | \(0.140378\pi\) |
−0.0824933 | + | 0.996592i | \(0.526288\pi\) | |||||||
\(564\) | −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 | −0.184030 | + | 0.982921i | \(0.558914\pi\) |
−0.759220 | + | 0.650835i | \(0.774419\pi\) | |||||||
\(570\) | 15.5885 | − | 9.00000i | 0.652929 | − | 0.376969i | ||||
\(571\) | 11.5000 | + | 19.9186i | 0.481260 | + | 0.833567i | 0.999769 | − | 0.0215055i | \(-0.00684595\pi\) |
−0.518509 | + | 0.855072i | \(0.673513\pi\) | |||||||
\(572\) | 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 | −0.514370 | + | 0.857569i | \(0.671974\pi\) |
−0.999861 | + | 0.0166728i | \(0.994693\pi\) | |||||||
\(578\) | 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 | \(-0.598116\pi\) |
−0.976900 | + | 0.213697i | \(0.931449\pi\) | |||||||
\(594\) | 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 | 0.990752 | + | 0.135686i | \(0.0433238\pi\) |
−0.377869 | + | 0.925859i | \(0.623343\pi\) | |||||||
\(600\) | 3.46410 | + | 2.00000i | 0.141421 | + | 0.0816497i | ||||
\(601\) | −37.0000 | −1.50926 | −0.754631 | − | 0.656150i | \(-0.772184\pi\) | ||||
−0.754631 | + | 0.656150i | \(0.772184\pi\) | |||||||
\(602\) | 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 | \(-0.980655\pi\) |
0.551678 | + | 0.834058i | \(0.313988\pi\) | |||||||
\(608\) | −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 | −0.601251 | − | 0.799060i | \(-0.705331\pi\) |
0.391381 | + | 0.920229i | \(0.371998\pi\) | |||||||
\(614\) | −9.00000 | + | 15.5885i | −0.363210 | + | 0.629099i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 12.0000i | 0.483102i | 0.970388 | + | 0.241551i | \(0.0776561\pi\) | ||||
−0.970388 | + | 0.241551i | \(0.922344\pi\) | |||||||
\(618\) | −12.1244 | − | 7.00000i | −0.487713 | − | 0.281581i | ||||
\(619\) | 20.7846 | − | 12.0000i | 0.835404 | − | 0.482321i | −0.0202954 | − | 0.999794i | \(-0.506461\pi\) |
0.855699 | + | 0.517473i | \(0.173127\pi\) | |||||||
\(620\) | 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 | \(0.0965097\pi\) | ||||
−0.954388 | + | 0.298570i | \(0.903490\pi\) | |||||||
\(632\) | −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 | 0.987200 | − | 0.159489i | \(-0.0509845\pi\) |
−0.631721 | + | 0.775196i | \(0.717651\pi\) | |||||||
\(642\) | −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 | −0.901464 | − | 0.432855i | \(-0.857506\pi\) |
0.0758684 | − | 0.997118i | \(-0.475827\pi\) | |||||||
\(648\) | 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 | −0.262515 | − | 0.964928i | \(-0.584552\pi\) |
0.966910 | − | 0.255119i | \(-0.0821147\pi\) | |||||||
\(654\) | 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 | \(-0.468376\pi\) |
0.911348 | + | 0.411636i | \(0.135043\pi\) | |||||||
\(662\) | 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 | \(-0.720908\pi\) |
0.985517 | + | 0.169580i | \(0.0542410\pi\) | |||||||
\(678\) | 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 | −0.596107 | − | 0.802905i | \(-0.703287\pi\) |
0.397282 | + | 0.917697i | \(0.369953\pi\) | |||||||
\(684\) | 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 | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(692\) | −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 | 0.399244 | − | 0.916845i | \(-0.369273\pi\) |
−0.594389 | + | 0.804178i | \(0.702606\pi\) | |||||||
\(710\) | 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 | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(720\) | 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 | \(-0.673782\pi\) | ||||
−0.519231 | + | 0.854634i | \(0.673782\pi\) | |||||||
\(728\) | 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 | \(-0.280180\pi\) |
−0.349102 | + | 0.937085i | \(0.613513\pi\) | |||||||
\(734\) | 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 | 0.198741 | − | 0.980052i | \(-0.436315\pi\) |
0.948120 | + | 0.317911i | \(0.102981\pi\) | |||||||
\(740\) | −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 | \(0.253749\pi\) | ||||
−0.698730 | + | 0.715386i | \(0.746251\pi\) | |||||||
\(744\) | 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 | 0.411170 | + | 0.911559i | \(0.365120\pi\) |
−0.995018 | + | 0.0996961i | \(0.968213\pi\) | |||||||
\(752\) | 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 | \(-0.150337\pi\) |
0.0512772 | + | 0.998684i | \(0.483671\pi\) | |||||||
\(762\) | 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 | \(-0.543396\pi\) |
0.790034 | + | 0.613062i | \(0.210063\pi\) | |||||||
\(774\) | −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 | \(-0.735276\pi\) |
0.303207 | + | 0.952925i | \(0.401942\pi\) | |||||||
\(788\) | 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 | \(-0.603279\pi\) | ||||
−0.318796 | + | 0.947823i | \(0.603279\pi\) | |||||||
\(798\) | 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 | 0.703533 | − | 0.710663i | \(-0.251605\pi\) |
−0.967219 | + | 0.253946i | \(0.918272\pi\) | |||||||
\(810\) | 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 | 0.989637 | − | 0.143591i | \(-0.0458650\pi\) |
0.370465 | + | 0.928846i | \(0.379198\pi\) | |||||||
\(822\) | 9.00000 | + | 15.5885i | 0.313911 | + | 0.543710i | ||||
\(823\) | −7.00000 | − | 12.1244i | −0.244005 | − | 0.422628i | 0.717847 | − | 0.696201i | \(-0.245128\pi\) |
−0.961851 | + | 0.273573i | \(0.911795\pi\) | |||||||
\(824\) | 12.1244 | + | 7.00000i | 0.422372 | + | 0.243857i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 18.0000i | − | 0.625921i | −0.949766 | − | 0.312961i | \(-0.898679\pi\) | ||
0.949766 | − | 0.312961i | \(-0.101321\pi\) | |||||||
\(828\) | 6.00000 | − | 10.3923i | 0.208514 | − | 0.361158i | ||||
\(829\) | −10.0000 | − | 17.3205i | −0.347314 | − | 0.601566i | 0.638457 | − | 0.769657i | \(-0.279573\pi\) |
−0.985771 | + | 0.168091i | \(0.946240\pi\) | |||||||
\(830\) | −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 | \(-0.0671963\pi\) |
−0.670366 | + | 0.742030i | \(0.733863\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.0000 | − | 34.6410i | 0.682391 | − | 1.18194i | −0.291858 | − | 0.956462i | \(-0.594273\pi\) |
0.974249 | − | 0.225475i | \(-0.0723932\pi\) | |||||||
\(860\) | − | 3.00000i | − | 0.102299i | ||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 15.0000 | 0.510902 | ||||||||
\(863\) | −33.7750 | − | 19.5000i | −1.14971 | − | 0.663788i | −0.200897 | − | 0.979612i | \(-0.564385\pi\) |
−0.948818 | + | 0.315825i | \(0.897719\pi\) | |||||||
\(864\) | 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 | 0.543224 | − | 0.839588i | \(-0.317204\pi\) |
−0.455493 | + | 0.890239i | \(0.650537\pi\) | |||||||
\(878\) | −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 | \(-0.312374\pi\) | ||||
0.555899 | + | 0.831250i | \(0.312374\pi\) | |||||||
\(882\) | 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 | \(-0.897902\pi\) |
0.747539 | + | 0.664218i | \(0.231235\pi\) | |||||||
\(888\) | 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 | 0.971936 | − | 0.235247i | \(-0.0755899\pi\) |
−0.689698 | + | 0.724097i | \(0.742257\pi\) | |||||||
\(908\) | −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 | −0.652616 | − | 0.757689i | \(-0.726329\pi\) |
0.982486 | + | 0.186338i | \(0.0596619\pi\) | |||||||
\(920\) | 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 | \(-0.132240\pi\) |
0.107944 | + | 0.994157i | \(0.465573\pi\) | |||||||
\(930\) | 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 | \(-0.489599\pi\) | ||||
0.0326686 | + | 0.999466i | \(0.489599\pi\) | |||||||
\(938\) | 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 | \(-0.928771\pi\) |
−0.295355 | + | 0.955387i | \(0.595438\pi\) | |||||||
\(942\) | −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 | 0.988364 | − | 0.152106i | \(-0.0486057\pi\) |
0.362454 | + | 0.932002i | \(0.381939\pi\) | |||||||
\(948\) | 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 | \(-0.984640\pi\) | ||
0.998836 | − | 0.0482367i | \(-0.0153602\pi\) | |||||||
\(968\) | −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 | \(-0.690705\pi\) |
0.997150 | + | 0.0754473i | \(0.0240385\pi\) | |||||||
\(972\) | −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 | −0.324462 | − | 0.945899i | \(-0.605183\pi\) |
0.656941 | + | 0.753942i | \(0.271850\pi\) | |||||||
\(978\) | 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 | \(-0.712511\pi\) |
0.370525 | + | 0.928823i | \(0.379178\pi\) | |||||||
\(984\) | 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 | 0.849705 | − | 0.527258i | \(-0.176780\pi\) |
−0.881471 | + | 0.472237i | \(0.843446\pi\) | |||||||
\(992\) | 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 | \(-0.126234\pi\) |
−0.795708 | + | 0.605681i | \(0.792901\pi\) | |||||||
\(998\) | −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 \(a_p\))