Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(165,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.165");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.p (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: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 165.1 | ||
Root | \(-1.22474 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 392.165 |
Dual form | 392.2.p.a.373.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.22474 | + | 0.707107i | −0.866025 | + | 0.500000i | ||||
\(3\) | 1.22474 | + | 0.707107i | 0.707107 | + | 0.408248i | 0.809989 | − | 0.586445i | \(-0.199473\pi\) |
−0.102882 | + | 0.994694i | \(0.532806\pi\) | |||||||
\(4\) | 1.00000 | − | 1.73205i | 0.500000 | − | 0.866025i | ||||
\(5\) | 1.22474 | − | 0.707107i | 0.547723 | − | 0.316228i | −0.200480 | − | 0.979698i | \(-0.564250\pi\) |
0.748203 | + | 0.663470i | \(0.230917\pi\) | |||||||
\(6\) | −2.00000 | −0.816497 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.82843i | 1.00000i | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | −1.00000 | + | 1.73205i | −0.316228 | + | 0.547723i | ||||
\(11\) | 2.44949 | + | 1.41421i | 0.738549 | + | 0.426401i | 0.821541 | − | 0.570149i | \(-0.193114\pi\) |
−0.0829925 | + | 0.996550i | \(0.526448\pi\) | |||||||
\(12\) | 2.44949 | − | 1.41421i | 0.707107 | − | 0.408248i | ||||
\(13\) | 4.24264i | 1.17670i | 0.808608 | + | 0.588348i | \(0.200222\pi\) | ||||
−0.808608 | + | 0.588348i | \(0.799778\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.00000 | 0.516398 | ||||||||
\(16\) | −2.00000 | − | 3.46410i | −0.500000 | − | 0.866025i | ||||
\(17\) | 3.00000 | − | 5.19615i | 0.727607 | − | 1.26025i | −0.230285 | − | 0.973123i | \(-0.573966\pi\) |
0.957892 | − | 0.287129i | \(-0.0927008\pi\) | |||||||
\(18\) | 1.22474 | + | 0.707107i | 0.288675 | + | 0.166667i | ||||
\(19\) | 3.67423 | − | 2.12132i | 0.842927 | − | 0.486664i | −0.0153309 | − | 0.999882i | \(-0.504880\pi\) |
0.858258 | + | 0.513218i | \(0.171547\pi\) | |||||||
\(20\) | − | 2.82843i | − | 0.632456i | ||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.00000 | −0.852803 | ||||||||
\(23\) | 3.00000 | + | 5.19615i | 0.625543 | + | 1.08347i | 0.988436 | + | 0.151642i | \(0.0484560\pi\) |
−0.362892 | + | 0.931831i | \(0.618211\pi\) | |||||||
\(24\) | −2.00000 | + | 3.46410i | −0.408248 | + | 0.707107i | ||||
\(25\) | −1.50000 | + | 2.59808i | −0.300000 | + | 0.519615i | ||||
\(26\) | −3.00000 | − | 5.19615i | −0.588348 | − | 1.01905i | ||||
\(27\) | − | 5.65685i | − | 1.08866i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 2.82843i | − | 0.525226i | −0.964901 | − | 0.262613i | \(-0.915416\pi\) | ||
0.964901 | − | 0.262613i | \(-0.0845842\pi\) | |||||||
\(30\) | −2.44949 | + | 1.41421i | −0.447214 | + | 0.258199i | ||||
\(31\) | 2.00000 | − | 3.46410i | 0.359211 | − | 0.622171i | −0.628619 | − | 0.777714i | \(-0.716379\pi\) |
0.987829 | + | 0.155543i | \(0.0497126\pi\) | |||||||
\(32\) | 4.89898 | + | 2.82843i | 0.866025 | + | 0.500000i | ||||
\(33\) | 2.00000 | + | 3.46410i | 0.348155 | + | 0.603023i | ||||
\(34\) | 8.48528i | 1.45521i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.00000 | −0.333333 | ||||||||
\(37\) | −7.34847 | + | 4.24264i | −1.20808 | + | 0.697486i | −0.962340 | − | 0.271850i | \(-0.912365\pi\) |
−0.245741 | + | 0.969335i | \(0.579031\pi\) | |||||||
\(38\) | −3.00000 | + | 5.19615i | −0.486664 | + | 0.842927i | ||||
\(39\) | −3.00000 | + | 5.19615i | −0.480384 | + | 0.832050i | ||||
\(40\) | 2.00000 | + | 3.46410i | 0.316228 | + | 0.547723i | ||||
\(41\) | 6.00000 | 0.937043 | 0.468521 | − | 0.883452i | \(-0.344787\pi\) | ||||
0.468521 | + | 0.883452i | \(0.344787\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.48528i | 1.29399i | 0.762493 | + | 0.646997i | \(0.223975\pi\) | ||||
−0.762493 | + | 0.646997i | \(0.776025\pi\) | |||||||
\(44\) | 4.89898 | − | 2.82843i | 0.738549 | − | 0.426401i | ||||
\(45\) | −1.22474 | − | 0.707107i | −0.182574 | − | 0.105409i | ||||
\(46\) | −7.34847 | − | 4.24264i | −1.08347 | − | 0.625543i | ||||
\(47\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(48\) | − | 5.65685i | − | 0.816497i | ||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | − | 4.24264i | − | 0.600000i | ||||||
\(51\) | 7.34847 | − | 4.24264i | 1.02899 | − | 0.594089i | ||||
\(52\) | 7.34847 | + | 4.24264i | 1.01905 | + | 0.588348i | ||||
\(53\) | −4.89898 | − | 2.82843i | −0.672927 | − | 0.388514i | 0.124258 | − | 0.992250i | \(-0.460345\pi\) |
−0.797185 | + | 0.603736i | \(0.793678\pi\) | |||||||
\(54\) | 4.00000 | + | 6.92820i | 0.544331 | + | 0.942809i | ||||
\(55\) | 4.00000 | 0.539360 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.00000 | 0.794719 | ||||||||
\(58\) | 2.00000 | + | 3.46410i | 0.262613 | + | 0.454859i | ||||
\(59\) | −1.22474 | − | 0.707107i | −0.159448 | − | 0.0920575i | 0.418153 | − | 0.908377i | \(-0.362678\pi\) |
−0.577601 | + | 0.816319i | \(0.696011\pi\) | |||||||
\(60\) | 2.00000 | − | 3.46410i | 0.258199 | − | 0.447214i | ||||
\(61\) | −11.0227 | + | 6.36396i | −1.41131 | + | 0.814822i | −0.995512 | − | 0.0946341i | \(-0.969832\pi\) |
−0.415800 | + | 0.909456i | \(0.636499\pi\) | |||||||
\(62\) | 5.65685i | 0.718421i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.00000 | −1.00000 | ||||||||
\(65\) | 3.00000 | + | 5.19615i | 0.372104 | + | 0.644503i | ||||
\(66\) | −4.89898 | − | 2.82843i | −0.603023 | − | 0.348155i | ||||
\(67\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(68\) | −6.00000 | − | 10.3923i | −0.727607 | − | 1.26025i | ||||
\(69\) | 8.48528i | 1.02151i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(72\) | 2.44949 | − | 1.41421i | 0.288675 | − | 0.166667i | ||||
\(73\) | −1.00000 | + | 1.73205i | −0.117041 | + | 0.202721i | −0.918594 | − | 0.395203i | \(-0.870674\pi\) |
0.801553 | + | 0.597924i | \(0.204008\pi\) | |||||||
\(74\) | 6.00000 | − | 10.3923i | 0.697486 | − | 1.20808i | ||||
\(75\) | −3.67423 | + | 2.12132i | −0.424264 | + | 0.244949i | ||||
\(76\) | − | 8.48528i | − | 0.973329i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | − | 8.48528i | − | 0.960769i | ||||||
\(79\) | −4.00000 | − | 6.92820i | −0.450035 | − | 0.779484i | 0.548352 | − | 0.836247i | \(-0.315255\pi\) |
−0.998388 | + | 0.0567635i | \(0.981922\pi\) | |||||||
\(80\) | −4.89898 | − | 2.82843i | −0.547723 | − | 0.316228i | ||||
\(81\) | 2.50000 | − | 4.33013i | 0.277778 | − | 0.481125i | ||||
\(82\) | −7.34847 | + | 4.24264i | −0.811503 | + | 0.468521i | ||||
\(83\) | − | 15.5563i | − | 1.70753i | −0.520658 | − | 0.853766i | \(-0.674313\pi\) | ||
0.520658 | − | 0.853766i | \(-0.325687\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 8.48528i | − | 0.920358i | ||||||
\(86\) | −6.00000 | − | 10.3923i | −0.646997 | − | 1.12063i | ||||
\(87\) | 2.00000 | − | 3.46410i | 0.214423 | − | 0.371391i | ||||
\(88\) | −4.00000 | + | 6.92820i | −0.426401 | + | 0.738549i | ||||
\(89\) | −3.00000 | − | 5.19615i | −0.317999 | − | 0.550791i | 0.662071 | − | 0.749441i | \(-0.269678\pi\) |
−0.980071 | + | 0.198650i | \(0.936344\pi\) | |||||||
\(90\) | 2.00000 | 0.210819 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 12.0000 | 1.25109 | ||||||||
\(93\) | 4.89898 | − | 2.82843i | 0.508001 | − | 0.293294i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.00000 | − | 5.19615i | 0.307794 | − | 0.533114i | ||||
\(96\) | 4.00000 | + | 6.92820i | 0.408248 | + | 0.707107i | ||||
\(97\) | −10.0000 | −1.01535 | −0.507673 | − | 0.861550i | \(-0.669494\pi\) | ||||
−0.507673 | + | 0.861550i | \(0.669494\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 2.82843i | − | 0.284268i | ||||||
\(100\) | 3.00000 | + | 5.19615i | 0.300000 | + | 0.519615i | ||||
\(101\) | −8.57321 | − | 4.94975i | −0.853067 | − | 0.492518i | 0.00861771 | − | 0.999963i | \(-0.497257\pi\) |
−0.861684 | + | 0.507445i | \(0.830590\pi\) | |||||||
\(102\) | −6.00000 | + | 10.3923i | −0.594089 | + | 1.02899i | ||||
\(103\) | 2.00000 | + | 3.46410i | 0.197066 | + | 0.341328i | 0.947576 | − | 0.319531i | \(-0.103525\pi\) |
−0.750510 | + | 0.660859i | \(0.770192\pi\) | |||||||
\(104\) | −12.0000 | −1.17670 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.00000 | 0.777029 | ||||||||
\(107\) | 4.89898 | − | 2.82843i | 0.473602 | − | 0.273434i | −0.244144 | − | 0.969739i | \(-0.578507\pi\) |
0.717746 | + | 0.696305i | \(0.245174\pi\) | |||||||
\(108\) | −9.79796 | − | 5.65685i | −0.942809 | − | 0.544331i | ||||
\(109\) | −7.34847 | − | 4.24264i | −0.703856 | − | 0.406371i | 0.104926 | − | 0.994480i | \(-0.466539\pi\) |
−0.808782 | + | 0.588109i | \(0.799873\pi\) | |||||||
\(110\) | −4.89898 | + | 2.82843i | −0.467099 | + | 0.269680i | ||||
\(111\) | −12.0000 | −1.13899 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −12.0000 | −1.12887 | −0.564433 | − | 0.825479i | \(-0.690905\pi\) | ||||
−0.564433 | + | 0.825479i | \(0.690905\pi\) | |||||||
\(114\) | −7.34847 | + | 4.24264i | −0.688247 | + | 0.397360i | ||||
\(115\) | 7.34847 | + | 4.24264i | 0.685248 | + | 0.395628i | ||||
\(116\) | −4.89898 | − | 2.82843i | −0.454859 | − | 0.262613i | ||||
\(117\) | 3.67423 | − | 2.12132i | 0.339683 | − | 0.196116i | ||||
\(118\) | 2.00000 | 0.184115 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 5.65685i | 0.516398i | ||||||||
\(121\) | −1.50000 | − | 2.59808i | −0.136364 | − | 0.236189i | ||||
\(122\) | 9.00000 | − | 15.5885i | 0.814822 | − | 1.41131i | ||||
\(123\) | 7.34847 | + | 4.24264i | 0.662589 | + | 0.382546i | ||||
\(124\) | −4.00000 | − | 6.92820i | −0.359211 | − | 0.622171i | ||||
\(125\) | 11.3137i | 1.01193i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.00000 | 0.177471 | 0.0887357 | − | 0.996055i | \(-0.471717\pi\) | ||||
0.0887357 | + | 0.996055i | \(0.471717\pi\) | |||||||
\(128\) | 9.79796 | − | 5.65685i | 0.866025 | − | 0.500000i | ||||
\(129\) | −6.00000 | + | 10.3923i | −0.528271 | + | 0.914991i | ||||
\(130\) | −7.34847 | − | 4.24264i | −0.644503 | − | 0.372104i | ||||
\(131\) | 1.22474 | − | 0.707107i | 0.107006 | − | 0.0617802i | −0.445542 | − | 0.895261i | \(-0.646989\pi\) |
0.552548 | + | 0.833481i | \(0.313656\pi\) | |||||||
\(132\) | 8.00000 | 0.696311 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.00000 | − | 6.92820i | −0.344265 | − | 0.596285i | ||||
\(136\) | 14.6969 | + | 8.48528i | 1.26025 | + | 0.727607i | ||||
\(137\) | −3.00000 | + | 5.19615i | −0.256307 | + | 0.443937i | −0.965250 | − | 0.261329i | \(-0.915839\pi\) |
0.708942 | + | 0.705266i | \(0.249173\pi\) | |||||||
\(138\) | −6.00000 | − | 10.3923i | −0.510754 | − | 0.884652i | ||||
\(139\) | 4.24264i | 0.359856i | 0.983680 | + | 0.179928i | \(0.0575865\pi\) | ||||
−0.983680 | + | 0.179928i | \(0.942414\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −6.00000 | + | 10.3923i | −0.501745 | + | 0.869048i | ||||
\(144\) | −2.00000 | + | 3.46410i | −0.166667 | + | 0.288675i | ||||
\(145\) | −2.00000 | − | 3.46410i | −0.166091 | − | 0.287678i | ||||
\(146\) | − | 2.82843i | − | 0.234082i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 16.9706i | 1.39497i | ||||||||
\(149\) | −9.79796 | + | 5.65685i | −0.802680 | + | 0.463428i | −0.844407 | − | 0.535701i | \(-0.820047\pi\) |
0.0417274 | + | 0.999129i | \(0.486714\pi\) | |||||||
\(150\) | 3.00000 | − | 5.19615i | 0.244949 | − | 0.424264i | ||||
\(151\) | 5.00000 | − | 8.66025i | 0.406894 | − | 0.704761i | −0.587646 | − | 0.809118i | \(-0.699945\pi\) |
0.994540 | + | 0.104357i | \(0.0332784\pi\) | |||||||
\(152\) | 6.00000 | + | 10.3923i | 0.486664 | + | 0.842927i | ||||
\(153\) | −6.00000 | −0.485071 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 5.65685i | − | 0.454369i | ||||||
\(156\) | 6.00000 | + | 10.3923i | 0.480384 | + | 0.832050i | ||||
\(157\) | 11.0227 | + | 6.36396i | 0.879708 | + | 0.507899i | 0.870562 | − | 0.492059i | \(-0.163756\pi\) |
0.00914557 | + | 0.999958i | \(0.497089\pi\) | |||||||
\(158\) | 9.79796 | + | 5.65685i | 0.779484 | + | 0.450035i | ||||
\(159\) | −4.00000 | − | 6.92820i | −0.317221 | − | 0.549442i | ||||
\(160\) | 8.00000 | 0.632456 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 7.07107i | 0.555556i | ||||||||
\(163\) | −7.34847 | + | 4.24264i | −0.575577 | + | 0.332309i | −0.759374 | − | 0.650655i | \(-0.774494\pi\) |
0.183797 | + | 0.982964i | \(0.441161\pi\) | |||||||
\(164\) | 6.00000 | − | 10.3923i | 0.468521 | − | 0.811503i | ||||
\(165\) | 4.89898 | + | 2.82843i | 0.381385 | + | 0.220193i | ||||
\(166\) | 11.0000 | + | 19.0526i | 0.853766 | + | 1.47877i | ||||
\(167\) | 24.0000 | 1.85718 | 0.928588 | − | 0.371113i | \(-0.121024\pi\) | ||||
0.928588 | + | 0.371113i | \(0.121024\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.00000 | −0.384615 | ||||||||
\(170\) | 6.00000 | + | 10.3923i | 0.460179 | + | 0.797053i | ||||
\(171\) | −3.67423 | − | 2.12132i | −0.280976 | − | 0.162221i | ||||
\(172\) | 14.6969 | + | 8.48528i | 1.12063 | + | 0.646997i | ||||
\(173\) | 8.57321 | − | 4.94975i | 0.651809 | − | 0.376322i | −0.137340 | − | 0.990524i | \(-0.543855\pi\) |
0.789149 | + | 0.614202i | \(0.210522\pi\) | |||||||
\(174\) | 5.65685i | 0.428845i | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 11.3137i | − | 0.852803i | ||||||
\(177\) | −1.00000 | − | 1.73205i | −0.0751646 | − | 0.130189i | ||||
\(178\) | 7.34847 | + | 4.24264i | 0.550791 | + | 0.317999i | ||||
\(179\) | −4.89898 | − | 2.82843i | −0.366167 | − | 0.211407i | 0.305616 | − | 0.952155i | \(-0.401138\pi\) |
−0.671783 | + | 0.740748i | \(0.734471\pi\) | |||||||
\(180\) | −2.44949 | + | 1.41421i | −0.182574 | + | 0.105409i | ||||
\(181\) | − | 12.7279i | − | 0.946059i | −0.881047 | − | 0.473029i | \(-0.843160\pi\) | ||
0.881047 | − | 0.473029i | \(-0.156840\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −18.0000 | −1.33060 | ||||||||
\(184\) | −14.6969 | + | 8.48528i | −1.08347 | + | 0.625543i | ||||
\(185\) | −6.00000 | + | 10.3923i | −0.441129 | + | 0.764057i | ||||
\(186\) | −4.00000 | + | 6.92820i | −0.293294 | + | 0.508001i | ||||
\(187\) | 14.6969 | − | 8.48528i | 1.07475 | − | 0.620505i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.48528i | 0.615587i | ||||||||
\(191\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(192\) | −9.79796 | − | 5.65685i | −0.707107 | − | 0.408248i | ||||
\(193\) | 2.00000 | − | 3.46410i | 0.143963 | − | 0.249351i | −0.785022 | − | 0.619467i | \(-0.787349\pi\) |
0.928986 | + | 0.370116i | \(0.120682\pi\) | |||||||
\(194\) | 12.2474 | − | 7.07107i | 0.879316 | − | 0.507673i | ||||
\(195\) | 8.48528i | 0.607644i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.65685i | 0.403034i | 0.979485 | + | 0.201517i | \(0.0645872\pi\) | ||||
−0.979485 | + | 0.201517i | \(0.935413\pi\) | |||||||
\(198\) | 2.00000 | + | 3.46410i | 0.142134 | + | 0.246183i | ||||
\(199\) | −10.0000 | + | 17.3205i | −0.708881 | + | 1.22782i | 0.256391 | + | 0.966573i | \(0.417466\pi\) |
−0.965272 | + | 0.261245i | \(0.915867\pi\) | |||||||
\(200\) | −7.34847 | − | 4.24264i | −0.519615 | − | 0.300000i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 14.0000 | 0.985037 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | − | 16.9706i | − | 1.18818i | ||||||
\(205\) | 7.34847 | − | 4.24264i | 0.513239 | − | 0.296319i | ||||
\(206\) | −4.89898 | − | 2.82843i | −0.341328 | − | 0.197066i | ||||
\(207\) | 3.00000 | − | 5.19615i | 0.208514 | − | 0.361158i | ||||
\(208\) | 14.6969 | − | 8.48528i | 1.01905 | − | 0.588348i | ||||
\(209\) | 12.0000 | 0.830057 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 16.9706i | 1.16830i | 0.811645 | + | 0.584151i | \(0.198572\pi\) | ||||
−0.811645 | + | 0.584151i | \(0.801428\pi\) | |||||||
\(212\) | −9.79796 | + | 5.65685i | −0.672927 | + | 0.388514i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.00000 | + | 6.92820i | −0.273434 | + | 0.473602i | ||||
\(215\) | 6.00000 | + | 10.3923i | 0.409197 | + | 0.708749i | ||||
\(216\) | 16.0000 | 1.08866 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 12.0000 | 0.812743 | ||||||||
\(219\) | −2.44949 | + | 1.41421i | −0.165521 | + | 0.0955637i | ||||
\(220\) | 4.00000 | − | 6.92820i | 0.269680 | − | 0.467099i | ||||
\(221\) | 22.0454 | + | 12.7279i | 1.48293 | + | 0.856173i | ||||
\(222\) | 14.6969 | − | 8.48528i | 0.986394 | − | 0.569495i | ||||
\(223\) | −28.0000 | −1.87502 | −0.937509 | − | 0.347960i | \(-0.886874\pi\) | ||||
−0.937509 | + | 0.347960i | \(0.886874\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.00000 | 0.200000 | ||||||||
\(226\) | 14.6969 | − | 8.48528i | 0.977626 | − | 0.564433i | ||||
\(227\) | −8.57321 | − | 4.94975i | −0.569024 | − | 0.328526i | 0.187735 | − | 0.982220i | \(-0.439885\pi\) |
−0.756760 | + | 0.653693i | \(0.773219\pi\) | |||||||
\(228\) | 6.00000 | − | 10.3923i | 0.397360 | − | 0.688247i | ||||
\(229\) | −3.67423 | + | 2.12132i | −0.242800 | + | 0.140181i | −0.616463 | − | 0.787384i | \(-0.711435\pi\) |
0.373663 | + | 0.927565i | \(0.378102\pi\) | |||||||
\(230\) | −12.0000 | −0.791257 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 8.00000 | 0.525226 | ||||||||
\(233\) | −3.00000 | − | 5.19615i | −0.196537 | − | 0.340411i | 0.750867 | − | 0.660454i | \(-0.229636\pi\) |
−0.947403 | + | 0.320043i | \(0.896303\pi\) | |||||||
\(234\) | −3.00000 | + | 5.19615i | −0.196116 | + | 0.339683i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −2.44949 | + | 1.41421i | −0.159448 | + | 0.0920575i | ||||
\(237\) | − | 11.3137i | − | 0.734904i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.00000 | 0.388108 | 0.194054 | − | 0.980991i | \(-0.437836\pi\) | ||||
0.194054 | + | 0.980991i | \(0.437836\pi\) | |||||||
\(240\) | −4.00000 | − | 6.92820i | −0.258199 | − | 0.447214i | ||||
\(241\) | 5.00000 | − | 8.66025i | 0.322078 | − | 0.557856i | −0.658838 | − | 0.752285i | \(-0.728952\pi\) |
0.980917 | + | 0.194429i | \(0.0622852\pi\) | |||||||
\(242\) | 3.67423 | + | 2.12132i | 0.236189 | + | 0.136364i | ||||
\(243\) | −8.57321 | + | 4.94975i | −0.549972 | + | 0.317526i | ||||
\(244\) | 25.4558i | 1.62964i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −12.0000 | −0.765092 | ||||||||
\(247\) | 9.00000 | + | 15.5885i | 0.572656 | + | 0.991870i | ||||
\(248\) | 9.79796 | + | 5.65685i | 0.622171 | + | 0.359211i | ||||
\(249\) | 11.0000 | − | 19.0526i | 0.697097 | − | 1.20741i | ||||
\(250\) | −8.00000 | − | 13.8564i | −0.505964 | − | 0.876356i | ||||
\(251\) | 18.3848i | 1.16044i | 0.814461 | + | 0.580218i | \(0.197033\pi\) | ||||
−0.814461 | + | 0.580218i | \(0.802967\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 16.9706i | 1.06693i | ||||||||
\(254\) | −2.44949 | + | 1.41421i | −0.153695 | + | 0.0887357i | ||||
\(255\) | 6.00000 | − | 10.3923i | 0.375735 | − | 0.650791i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.500000 | + | 0.866025i | ||||
\(257\) | 3.00000 | + | 5.19615i | 0.187135 | + | 0.324127i | 0.944294 | − | 0.329104i | \(-0.106747\pi\) |
−0.757159 | + | 0.653231i | \(0.773413\pi\) | |||||||
\(258\) | − | 16.9706i | − | 1.05654i | ||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 12.0000 | 0.744208 | ||||||||
\(261\) | −2.44949 | + | 1.41421i | −0.151620 | + | 0.0875376i | ||||
\(262\) | −1.00000 | + | 1.73205i | −0.0617802 | + | 0.107006i | ||||
\(263\) | −12.0000 | + | 20.7846i | −0.739952 | + | 1.28163i | 0.212565 | + | 0.977147i | \(0.431818\pi\) |
−0.952517 | + | 0.304487i | \(0.901515\pi\) | |||||||
\(264\) | −9.79796 | + | 5.65685i | −0.603023 | + | 0.348155i | ||||
\(265\) | −8.00000 | −0.491436 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 8.48528i | − | 0.519291i | ||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.12372 | + | 3.53553i | 0.373370 | + | 0.215565i | 0.674930 | − | 0.737882i | \(-0.264174\pi\) |
−0.301560 | + | 0.953447i | \(0.597507\pi\) | |||||||
\(270\) | 9.79796 | + | 5.65685i | 0.596285 | + | 0.344265i | ||||
\(271\) | −10.0000 | − | 17.3205i | −0.607457 | − | 1.05215i | −0.991658 | − | 0.128897i | \(-0.958856\pi\) |
0.384201 | − | 0.923249i | \(-0.374477\pi\) | |||||||
\(272\) | −24.0000 | −1.45521 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 8.48528i | − | 0.512615i | ||||||
\(275\) | −7.34847 | + | 4.24264i | −0.443129 | + | 0.255841i | ||||
\(276\) | 14.6969 | + | 8.48528i | 0.884652 | + | 0.510754i | ||||
\(277\) | −14.6969 | − | 8.48528i | −0.883053 | − | 0.509831i | −0.0113895 | − | 0.999935i | \(-0.503625\pi\) |
−0.871664 | + | 0.490104i | \(0.836959\pi\) | |||||||
\(278\) | −3.00000 | − | 5.19615i | −0.179928 | − | 0.311645i | ||||
\(279\) | −4.00000 | −0.239474 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.00000 | −0.357930 | −0.178965 | − | 0.983855i | \(-0.557275\pi\) | ||||
−0.178965 | + | 0.983855i | \(0.557275\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.0227 | + | 6.36396i | 0.655232 | + | 0.378298i | 0.790458 | − | 0.612517i | \(-0.209843\pi\) |
−0.135226 | + | 0.990815i | \(0.543176\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 7.34847 | − | 4.24264i | 0.435286 | − | 0.251312i | ||||
\(286\) | − | 16.9706i | − | 1.00349i | ||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | − | 5.65685i | − | 0.333333i | ||||||
\(289\) | −9.50000 | − | 16.4545i | −0.558824 | − | 0.967911i | ||||
\(290\) | 4.89898 | + | 2.82843i | 0.287678 | + | 0.166091i | ||||
\(291\) | −12.2474 | − | 7.07107i | −0.717958 | − | 0.414513i | ||||
\(292\) | 2.00000 | + | 3.46410i | 0.117041 | + | 0.202721i | ||||
\(293\) | − | 24.0416i | − | 1.40453i | −0.711917 | − | 0.702264i | \(-0.752173\pi\) | ||
0.711917 | − | 0.702264i | \(-0.247827\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.00000 | −0.116445 | ||||||||
\(296\) | −12.0000 | − | 20.7846i | −0.697486 | − | 1.20808i | ||||
\(297\) | 8.00000 | − | 13.8564i | 0.464207 | − | 0.804030i | ||||
\(298\) | 8.00000 | − | 13.8564i | 0.463428 | − | 0.802680i | ||||
\(299\) | −22.0454 | + | 12.7279i | −1.27492 | + | 0.736075i | ||||
\(300\) | 8.48528i | 0.489898i | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 14.1421i | 0.813788i | ||||||||
\(303\) | −7.00000 | − | 12.1244i | −0.402139 | − | 0.696526i | ||||
\(304\) | −14.6969 | − | 8.48528i | −0.842927 | − | 0.486664i | ||||
\(305\) | −9.00000 | + | 15.5885i | −0.515339 | + | 0.892592i | ||||
\(306\) | 7.34847 | − | 4.24264i | 0.420084 | − | 0.242536i | ||||
\(307\) | 12.7279i | 0.726421i | 0.931707 | + | 0.363210i | \(0.118319\pi\) | ||||
−0.931707 | + | 0.363210i | \(0.881681\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.65685i | 0.321807i | ||||||||
\(310\) | 4.00000 | + | 6.92820i | 0.227185 | + | 0.393496i | ||||
\(311\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(312\) | −14.6969 | − | 8.48528i | −0.832050 | − | 0.480384i | ||||
\(313\) | 5.00000 | + | 8.66025i | 0.282617 | + | 0.489506i | 0.972028 | − | 0.234863i | \(-0.0754642\pi\) |
−0.689412 | + | 0.724370i | \(0.742131\pi\) | |||||||
\(314\) | −18.0000 | −1.01580 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −16.0000 | −0.900070 | ||||||||
\(317\) | 19.5959 | − | 11.3137i | 1.10062 | − | 0.635441i | 0.164234 | − | 0.986421i | \(-0.447485\pi\) |
0.936383 | + | 0.350980i | \(0.114152\pi\) | |||||||
\(318\) | 9.79796 | + | 5.65685i | 0.549442 | + | 0.317221i | ||||
\(319\) | 4.00000 | − | 6.92820i | 0.223957 | − | 0.387905i | ||||
\(320\) | −9.79796 | + | 5.65685i | −0.547723 | + | 0.316228i | ||||
\(321\) | 8.00000 | 0.446516 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 25.4558i | − | 1.41640i | ||||||
\(324\) | −5.00000 | − | 8.66025i | −0.277778 | − | 0.481125i | ||||
\(325\) | −11.0227 | − | 6.36396i | −0.611430 | − | 0.353009i | ||||
\(326\) | 6.00000 | − | 10.3923i | 0.332309 | − | 0.575577i | ||||
\(327\) | −6.00000 | − | 10.3923i | −0.331801 | − | 0.574696i | ||||
\(328\) | 16.9706i | 0.937043i | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −8.00000 | −0.440386 | ||||||||
\(331\) | −22.0454 | + | 12.7279i | −1.21173 | + | 0.699590i | −0.963135 | − | 0.269019i | \(-0.913301\pi\) |
−0.248590 | + | 0.968609i | \(0.579967\pi\) | |||||||
\(332\) | −26.9444 | − | 15.5563i | −1.47877 | − | 0.853766i | ||||
\(333\) | 7.34847 | + | 4.24264i | 0.402694 | + | 0.232495i | ||||
\(334\) | −29.3939 | + | 16.9706i | −1.60836 | + | 0.928588i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 32.0000 | 1.74315 | 0.871576 | − | 0.490261i | \(-0.163099\pi\) | ||||
0.871576 | + | 0.490261i | \(0.163099\pi\) | |||||||
\(338\) | 6.12372 | − | 3.53553i | 0.333087 | − | 0.192308i | ||||
\(339\) | −14.6969 | − | 8.48528i | −0.798228 | − | 0.460857i | ||||
\(340\) | −14.6969 | − | 8.48528i | −0.797053 | − | 0.460179i | ||||
\(341\) | 9.79796 | − | 5.65685i | 0.530589 | − | 0.306336i | ||||
\(342\) | 6.00000 | 0.324443 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −24.0000 | −1.29399 | ||||||||
\(345\) | 6.00000 | + | 10.3923i | 0.323029 | + | 0.559503i | ||||
\(346\) | −7.00000 | + | 12.1244i | −0.376322 | + | 0.651809i | ||||
\(347\) | −12.2474 | − | 7.07107i | −0.657477 | − | 0.379595i | 0.133838 | − | 0.991003i | \(-0.457270\pi\) |
−0.791315 | + | 0.611408i | \(0.790603\pi\) | |||||||
\(348\) | −4.00000 | − | 6.92820i | −0.214423 | − | 0.371391i | ||||
\(349\) | − | 4.24264i | − | 0.227103i | −0.993532 | − | 0.113552i | \(-0.963777\pi\) | ||
0.993532 | − | 0.113552i | \(-0.0362227\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 24.0000 | 1.28103 | ||||||||
\(352\) | 8.00000 | + | 13.8564i | 0.426401 | + | 0.738549i | ||||
\(353\) | −3.00000 | + | 5.19615i | −0.159674 | + | 0.276563i | −0.934751 | − | 0.355303i | \(-0.884378\pi\) |
0.775077 | + | 0.631867i | \(0.217711\pi\) | |||||||
\(354\) | 2.44949 | + | 1.41421i | 0.130189 | + | 0.0751646i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −12.0000 | −0.635999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.00000 | 0.422813 | ||||||||
\(359\) | 15.0000 | + | 25.9808i | 0.791670 | + | 1.37121i | 0.924932 | + | 0.380131i | \(0.124121\pi\) |
−0.133263 | + | 0.991081i | \(0.542545\pi\) | |||||||
\(360\) | 2.00000 | − | 3.46410i | 0.105409 | − | 0.182574i | ||||
\(361\) | −0.500000 | + | 0.866025i | −0.0263158 | + | 0.0455803i | ||||
\(362\) | 9.00000 | + | 15.5885i | 0.473029 | + | 0.819311i | ||||
\(363\) | − | 4.24264i | − | 0.222681i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.82843i | 0.148047i | ||||||||
\(366\) | 22.0454 | − | 12.7279i | 1.15233 | − | 0.665299i | ||||
\(367\) | 14.0000 | − | 24.2487i | 0.730794 | − | 1.26577i | −0.225750 | − | 0.974185i | \(-0.572483\pi\) |
0.956544 | − | 0.291587i | \(-0.0941834\pi\) | |||||||
\(368\) | 12.0000 | − | 20.7846i | 0.625543 | − | 1.08347i | ||||
\(369\) | −3.00000 | − | 5.19615i | −0.156174 | − | 0.270501i | ||||
\(370\) | − | 16.9706i | − | 0.882258i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | − | 11.3137i | − | 0.586588i | ||||||
\(373\) | 29.3939 | − | 16.9706i | 1.52196 | − | 0.878702i | 0.522294 | − | 0.852766i | \(-0.325076\pi\) |
0.999664 | − | 0.0259367i | \(-0.00825685\pi\) | |||||||
\(374\) | −12.0000 | + | 20.7846i | −0.620505 | + | 1.07475i | ||||
\(375\) | −8.00000 | + | 13.8564i | −0.413118 | + | 0.715542i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 12.0000 | 0.618031 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 25.4558i | − | 1.30758i | −0.756677 | − | 0.653789i | \(-0.773178\pi\) | ||
0.756677 | − | 0.653789i | \(-0.226822\pi\) | |||||||
\(380\) | −6.00000 | − | 10.3923i | −0.307794 | − | 0.533114i | ||||
\(381\) | 2.44949 | + | 1.41421i | 0.125491 | + | 0.0724524i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 12.0000 | + | 20.7846i | 0.613171 | + | 1.06204i | 0.990702 | + | 0.136047i | \(0.0434398\pi\) |
−0.377531 | + | 0.925997i | \(0.623227\pi\) | |||||||
\(384\) | 16.0000 | 0.816497 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 5.65685i | 0.287926i | ||||||||
\(387\) | 7.34847 | − | 4.24264i | 0.373544 | − | 0.215666i | ||||
\(388\) | −10.0000 | + | 17.3205i | −0.507673 | + | 0.879316i | ||||
\(389\) | 2.44949 | + | 1.41421i | 0.124194 | + | 0.0717035i | 0.560810 | − | 0.827945i | \(-0.310490\pi\) |
−0.436616 | + | 0.899648i | \(0.643823\pi\) | |||||||
\(390\) | −6.00000 | − | 10.3923i | −0.303822 | − | 0.526235i | ||||
\(391\) | 36.0000 | 1.82060 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 2.00000 | 0.100887 | ||||||||
\(394\) | −4.00000 | − | 6.92820i | −0.201517 | − | 0.349038i | ||||
\(395\) | −9.79796 | − | 5.65685i | −0.492989 | − | 0.284627i | ||||
\(396\) | −4.89898 | − | 2.82843i | −0.246183 | − | 0.142134i | ||||
\(397\) | −18.3712 | + | 10.6066i | −0.922023 | + | 0.532330i | −0.884280 | − | 0.466957i | \(-0.845350\pi\) |
−0.0377429 | + | 0.999287i | \(0.512017\pi\) | |||||||
\(398\) | − | 28.2843i | − | 1.41776i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 12.0000 | 0.600000 | ||||||||
\(401\) | 12.0000 | + | 20.7846i | 0.599251 | + | 1.03793i | 0.992932 | + | 0.118686i | \(0.0378683\pi\) |
−0.393680 | + | 0.919247i | \(0.628798\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.6969 | + | 8.48528i | 0.732107 | + | 0.422682i | ||||
\(404\) | −17.1464 | + | 9.89949i | −0.853067 | + | 0.492518i | ||||
\(405\) | − | 7.07107i | − | 0.351364i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −24.0000 | −1.18964 | ||||||||
\(408\) | 12.0000 | + | 20.7846i | 0.594089 | + | 1.02899i | ||||
\(409\) | 11.0000 | − | 19.0526i | 0.543915 | − | 0.942088i | −0.454759 | − | 0.890614i | \(-0.650275\pi\) |
0.998674 | − | 0.0514740i | \(-0.0163919\pi\) | |||||||
\(410\) | −6.00000 | + | 10.3923i | −0.296319 | + | 0.513239i | ||||
\(411\) | −7.34847 | + | 4.24264i | −0.362473 | + | 0.209274i | ||||
\(412\) | 8.00000 | 0.394132 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 8.48528i | 0.417029i | ||||||||
\(415\) | −11.0000 | − | 19.0526i | −0.539969 | − | 0.935253i | ||||
\(416\) | −12.0000 | + | 20.7846i | −0.588348 | + | 1.01905i | ||||
\(417\) | −3.00000 | + | 5.19615i | −0.146911 | + | 0.254457i | ||||
\(418\) | −14.6969 | + | 8.48528i | −0.718851 | + | 0.415029i | ||||
\(419\) | 26.8701i | 1.31269i | 0.754462 | + | 0.656344i | \(0.227898\pi\) | ||||
−0.754462 | + | 0.656344i | \(0.772102\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 16.9706i | − | 0.827095i | −0.910483 | − | 0.413547i | \(-0.864290\pi\) | ||
0.910483 | − | 0.413547i | \(-0.135710\pi\) | |||||||
\(422\) | −12.0000 | − | 20.7846i | −0.584151 | − | 1.01178i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 8.00000 | − | 13.8564i | 0.388514 | − | 0.672927i | ||||
\(425\) | 9.00000 | + | 15.5885i | 0.436564 | + | 0.756151i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | − | 11.3137i | − | 0.546869i | ||||||
\(429\) | −14.6969 | + | 8.48528i | −0.709575 | + | 0.409673i | ||||
\(430\) | −14.6969 | − | 8.48528i | −0.708749 | − | 0.409197i | ||||
\(431\) | 3.00000 | − | 5.19615i | 0.144505 | − | 0.250290i | −0.784683 | − | 0.619897i | \(-0.787174\pi\) |
0.929188 | + | 0.369607i | \(0.120508\pi\) | |||||||
\(432\) | −19.5959 | + | 11.3137i | −0.942809 | + | 0.544331i | ||||
\(433\) | 2.00000 | 0.0961139 | 0.0480569 | − | 0.998845i | \(-0.484697\pi\) | ||||
0.0480569 | + | 0.998845i | \(0.484697\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | − | 5.65685i | − | 0.271225i | ||||||
\(436\) | −14.6969 | + | 8.48528i | −0.703856 | + | 0.406371i | ||||
\(437\) | 22.0454 | + | 12.7279i | 1.05457 | + | 0.608859i | ||||
\(438\) | 2.00000 | − | 3.46410i | 0.0955637 | − | 0.165521i | ||||
\(439\) | 14.0000 | + | 24.2487i | 0.668184 | + | 1.15733i | 0.978412 | + | 0.206666i | \(0.0662612\pi\) |
−0.310228 | + | 0.950662i | \(0.600405\pi\) | |||||||
\(440\) | 11.3137i | 0.539360i | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −36.0000 | −1.71235 | ||||||||
\(443\) | 19.5959 | − | 11.3137i | 0.931030 | − | 0.537531i | 0.0438929 | − | 0.999036i | \(-0.486024\pi\) |
0.887137 | + | 0.461506i | \(0.152691\pi\) | |||||||
\(444\) | −12.0000 | + | 20.7846i | −0.569495 | + | 0.986394i | ||||
\(445\) | −7.34847 | − | 4.24264i | −0.348351 | − | 0.201120i | ||||
\(446\) | 34.2929 | − | 19.7990i | 1.62381 | − | 0.937509i | ||||
\(447\) | −16.0000 | −0.756774 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.0000 | −0.849473 | −0.424736 | − | 0.905317i | \(-0.639633\pi\) | ||||
−0.424736 | + | 0.905317i | \(0.639633\pi\) | |||||||
\(450\) | −3.67423 | + | 2.12132i | −0.173205 | + | 0.100000i | ||||
\(451\) | 14.6969 | + | 8.48528i | 0.692052 | + | 0.399556i | ||||
\(452\) | −12.0000 | + | 20.7846i | −0.564433 | + | 0.977626i | ||||
\(453\) | 12.2474 | − | 7.07107i | 0.575435 | − | 0.332228i | ||||
\(454\) | 14.0000 | 0.657053 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 16.9706i | 0.794719i | ||||||||
\(457\) | 14.0000 | + | 24.2487i | 0.654892 | + | 1.13431i | 0.981921 | + | 0.189292i | \(0.0606194\pi\) |
−0.327028 | + | 0.945015i | \(0.606047\pi\) | |||||||
\(458\) | 3.00000 | − | 5.19615i | 0.140181 | − | 0.242800i | ||||
\(459\) | −29.3939 | − | 16.9706i | −1.37199 | − | 0.792118i | ||||
\(460\) | 14.6969 | − | 8.48528i | 0.685248 | − | 0.395628i | ||||
\(461\) | − | 15.5563i | − | 0.724531i | −0.932075 | − | 0.362266i | \(-0.882003\pi\) | ||
0.932075 | − | 0.362266i | \(-0.117997\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 32.0000 | 1.48717 | 0.743583 | − | 0.668644i | \(-0.233125\pi\) | ||||
0.743583 | + | 0.668644i | \(0.233125\pi\) | |||||||
\(464\) | −9.79796 | + | 5.65685i | −0.454859 | + | 0.262613i | ||||
\(465\) | 4.00000 | − | 6.92820i | 0.185496 | − | 0.321288i | ||||
\(466\) | 7.34847 | + | 4.24264i | 0.340411 | + | 0.196537i | ||||
\(467\) | −6.12372 | + | 3.53553i | −0.283372 | + | 0.163605i | −0.634949 | − | 0.772554i | \(-0.718979\pi\) |
0.351577 | + | 0.936159i | \(0.385646\pi\) | |||||||
\(468\) | − | 8.48528i | − | 0.392232i | ||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 9.00000 | + | 15.5885i | 0.414698 | + | 0.718278i | ||||
\(472\) | 2.00000 | − | 3.46410i | 0.0920575 | − | 0.159448i | ||||
\(473\) | −12.0000 | + | 20.7846i | −0.551761 | + | 0.955677i | ||||
\(474\) | 8.00000 | + | 13.8564i | 0.367452 | + | 0.636446i | ||||
\(475\) | 12.7279i | 0.583997i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.65685i | 0.259010i | ||||||||
\(478\) | −7.34847 | + | 4.24264i | −0.336111 | + | 0.194054i | ||||
\(479\) | 6.00000 | − | 10.3923i | 0.274147 | − | 0.474837i | −0.695773 | − | 0.718262i | \(-0.744938\pi\) |
0.969920 | + | 0.243426i | \(0.0782712\pi\) | |||||||
\(480\) | 9.79796 | + | 5.65685i | 0.447214 | + | 0.258199i | ||||
\(481\) | −18.0000 | − | 31.1769i | −0.820729 | − | 1.42154i | ||||
\(482\) | 14.1421i | 0.644157i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.00000 | −0.272727 | ||||||||
\(485\) | −12.2474 | + | 7.07107i | −0.556128 | + | 0.321081i | ||||
\(486\) | 7.00000 | − | 12.1244i | 0.317526 | − | 0.549972i | ||||
\(487\) | −1.00000 | + | 1.73205i | −0.0453143 | + | 0.0784867i | −0.887793 | − | 0.460243i | \(-0.847762\pi\) |
0.842479 | + | 0.538730i | \(0.181096\pi\) | |||||||
\(488\) | −18.0000 | − | 31.1769i | −0.814822 | − | 1.41131i | ||||
\(489\) | −12.0000 | −0.542659 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 39.5980i | 1.78703i | 0.449032 | + | 0.893516i | \(0.351769\pi\) | ||||
−0.449032 | + | 0.893516i | \(0.648231\pi\) | |||||||
\(492\) | 14.6969 | − | 8.48528i | 0.662589 | − | 0.382546i | ||||
\(493\) | −14.6969 | − | 8.48528i | −0.661917 | − | 0.382158i | ||||
\(494\) | −22.0454 | − | 12.7279i | −0.991870 | − | 0.572656i | ||||
\(495\) | −2.00000 | − | 3.46410i | −0.0898933 | − | 0.155700i | ||||
\(496\) | −16.0000 | −0.718421 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 31.1127i | 1.39419i | ||||||||
\(499\) | −14.6969 | + | 8.48528i | −0.657925 | + | 0.379853i | −0.791486 | − | 0.611187i | \(-0.790692\pi\) |
0.133561 | + | 0.991041i | \(0.457359\pi\) | |||||||
\(500\) | 19.5959 | + | 11.3137i | 0.876356 | + | 0.505964i | ||||
\(501\) | 29.3939 | + | 16.9706i | 1.31322 | + | 0.758189i | ||||
\(502\) | −13.0000 | − | 22.5167i | −0.580218 | − | 1.00497i | ||||
\(503\) | 36.0000 | 1.60516 | 0.802580 | − | 0.596544i | \(-0.203460\pi\) | ||||
0.802580 | + | 0.596544i | \(0.203460\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.0000 | −0.622992 | ||||||||
\(506\) | −12.0000 | − | 20.7846i | −0.533465 | − | 0.923989i | ||||
\(507\) | −6.12372 | − | 3.53553i | −0.271964 | − | 0.157019i | ||||
\(508\) | 2.00000 | − | 3.46410i | 0.0887357 | − | 0.153695i | ||||
\(509\) | 1.22474 | − | 0.707107i | 0.0542859 | − | 0.0313420i | −0.472611 | − | 0.881271i | \(-0.656689\pi\) |
0.526897 | + | 0.849929i | \(0.323355\pi\) | |||||||
\(510\) | 16.9706i | 0.751469i | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 22.6274i | − | 1.00000i | ||||||
\(513\) | −12.0000 | − | 20.7846i | −0.529813 | − | 0.917663i | ||||
\(514\) | −7.34847 | − | 4.24264i | −0.324127 | − | 0.187135i | ||||
\(515\) | 4.89898 | + | 2.82843i | 0.215875 | + | 0.124635i | ||||
\(516\) | 12.0000 | + | 20.7846i | 0.528271 | + | 0.914991i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 14.0000 | 0.614532 | ||||||||
\(520\) | −14.6969 | + | 8.48528i | −0.644503 | + | 0.372104i | ||||
\(521\) | 3.00000 | − | 5.19615i | 0.131432 | − | 0.227648i | −0.792797 | − | 0.609486i | \(-0.791376\pi\) |
0.924229 | + | 0.381839i | \(0.124709\pi\) | |||||||
\(522\) | 2.00000 | − | 3.46410i | 0.0875376 | − | 0.151620i | ||||
\(523\) | 25.7196 | − | 14.8492i | 1.12464 | − | 0.649312i | 0.182060 | − | 0.983287i | \(-0.441724\pi\) |
0.942582 | + | 0.333975i | \(0.108390\pi\) | |||||||
\(524\) | − | 2.82843i | − | 0.123560i | ||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | − | 33.9411i | − | 1.47990i | ||||||
\(527\) | −12.0000 | − | 20.7846i | −0.522728 | − | 0.905392i | ||||
\(528\) | 8.00000 | − | 13.8564i | 0.348155 | − | 0.603023i | ||||
\(529\) | −6.50000 | + | 11.2583i | −0.282609 | + | 0.489493i | ||||
\(530\) | 9.79796 | − | 5.65685i | 0.425596 | − | 0.245718i | ||||
\(531\) | 1.41421i | 0.0613716i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 25.4558i | 1.10262i | ||||||||
\(534\) | 6.00000 | + | 10.3923i | 0.259645 | + | 0.449719i | ||||
\(535\) | 4.00000 | − | 6.92820i | 0.172935 | − | 0.299532i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4.00000 | − | 6.92820i | −0.172613 | − | 0.298974i | ||||
\(538\) | −10.0000 | −0.431131 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −16.0000 | −0.688530 | ||||||||
\(541\) | 14.6969 | − | 8.48528i | 0.631871 | − | 0.364811i | −0.149605 | − | 0.988746i | \(-0.547800\pi\) |
0.781476 | + | 0.623935i | \(0.214467\pi\) | |||||||
\(542\) | 24.4949 | + | 14.1421i | 1.05215 | + | 0.607457i | ||||
\(543\) | 9.00000 | − | 15.5885i | 0.386227 | − | 0.668965i | ||||
\(544\) | 29.3939 | − | 16.9706i | 1.26025 | − | 0.727607i | ||||
\(545\) | −12.0000 | −0.514024 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.48528i | 0.362804i | 0.983409 | + | 0.181402i | \(0.0580636\pi\) | ||||
−0.983409 | + | 0.181402i | \(0.941936\pi\) | |||||||
\(548\) | 6.00000 | + | 10.3923i | 0.256307 | + | 0.443937i | ||||
\(549\) | 11.0227 | + | 6.36396i | 0.470438 | + | 0.271607i | ||||
\(550\) | 6.00000 | − | 10.3923i | 0.255841 | − | 0.443129i | ||||
\(551\) | −6.00000 | − | 10.3923i | −0.255609 | − | 0.442727i | ||||
\(552\) | −24.0000 | −1.02151 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 24.0000 | 1.01966 | ||||||||
\(555\) | −14.6969 | + | 8.48528i | −0.623850 | + | 0.360180i | ||||
\(556\) | 7.34847 | + | 4.24264i | 0.311645 | + | 0.179928i | ||||
\(557\) | −4.89898 | − | 2.82843i | −0.207576 | − | 0.119844i | 0.392608 | − | 0.919706i | \(-0.371573\pi\) |
−0.600185 | + | 0.799862i | \(0.704906\pi\) | |||||||
\(558\) | 4.89898 | − | 2.82843i | 0.207390 | − | 0.119737i | ||||
\(559\) | −36.0000 | −1.52264 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 24.0000 | 1.01328 | ||||||||
\(562\) | 7.34847 | − | 4.24264i | 0.309976 | − | 0.178965i | ||||
\(563\) | −1.22474 | − | 0.707107i | −0.0516168 | − | 0.0298010i | 0.473970 | − | 0.880541i | \(-0.342821\pi\) |
−0.525586 | + | 0.850740i | \(0.676154\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −14.6969 | + | 8.48528i | −0.618305 | + | 0.356978i | ||||
\(566\) | −18.0000 | −0.756596 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(570\) | −6.00000 | + | 10.3923i | −0.251312 | + | 0.435286i | ||||
\(571\) | 22.0454 | + | 12.7279i | 0.922572 | + | 0.532647i | 0.884455 | − | 0.466626i | \(-0.154531\pi\) |
0.0381170 | + | 0.999273i | \(0.487864\pi\) | |||||||
\(572\) | 12.0000 | + | 20.7846i | 0.501745 | + | 0.869048i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −18.0000 | −0.750652 | ||||||||
\(576\) | 4.00000 | + | 6.92820i | 0.166667 | + | 0.288675i | ||||
\(577\) | −19.0000 | + | 32.9090i | −0.790980 | + | 1.37002i | 0.134380 | + | 0.990930i | \(0.457096\pi\) |
−0.925361 | + | 0.379088i | \(0.876238\pi\) | |||||||
\(578\) | 23.2702 | + | 13.4350i | 0.967911 | + | 0.558824i | ||||
\(579\) | 4.89898 | − | 2.82843i | 0.203595 | − | 0.117545i | ||||
\(580\) | −8.00000 | −0.332182 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 20.0000 | 0.829027 | ||||||||
\(583\) | −8.00000 | − | 13.8564i | −0.331326 | − | 0.573874i | ||||
\(584\) | −4.89898 | − | 2.82843i | −0.202721 | − | 0.117041i | ||||
\(585\) | 3.00000 | − | 5.19615i | 0.124035 | − | 0.214834i | ||||
\(586\) | 17.0000 | + | 29.4449i | 0.702264 | + | 1.21636i | ||||
\(587\) | − | 41.0122i | − | 1.69275i | −0.532584 | − | 0.846377i | \(-0.678779\pi\) | ||
0.532584 | − | 0.846377i | \(-0.321221\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 16.9706i | − | 0.699260i | ||||||
\(590\) | 2.44949 | − | 1.41421i | 0.100844 | − | 0.0582223i | ||||
\(591\) | −4.00000 | + | 6.92820i | −0.164538 | + | 0.284988i | ||||
\(592\) | 29.3939 | + | 16.9706i | 1.20808 | + | 0.697486i | ||||
\(593\) | 15.0000 | + | 25.9808i | 0.615976 | + | 1.06690i | 0.990212 | + | 0.139569i | \(0.0445716\pi\) |
−0.374236 | + | 0.927333i | \(0.622095\pi\) | |||||||
\(594\) | 22.6274i | 0.928414i | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 22.6274i | 0.926855i | ||||||||
\(597\) | −24.4949 | + | 14.1421i | −1.00251 | + | 0.578799i | ||||
\(598\) | 18.0000 | − | 31.1769i | 0.736075 | − | 1.27492i | ||||
\(599\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(600\) | −6.00000 | − | 10.3923i | −0.244949 | − | 0.424264i | ||||
\(601\) | −10.0000 | −0.407909 | −0.203954 | − | 0.978980i | \(-0.565379\pi\) | ||||
−0.203954 | + | 0.978980i | \(0.565379\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.0000 | − | 17.3205i | −0.406894 | − | 0.704761i | ||||
\(605\) | −3.67423 | − | 2.12132i | −0.149379 | − | 0.0862439i | ||||
\(606\) | 17.1464 | + | 9.89949i | 0.696526 | + | 0.402139i | ||||
\(607\) | −16.0000 | − | 27.7128i | −0.649420 | − | 1.12483i | −0.983262 | − | 0.182199i | \(-0.941678\pi\) |
0.333842 | − | 0.942629i | \(-0.391655\pi\) | |||||||
\(608\) | 24.0000 | 0.973329 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | − | 25.4558i | − | 1.03068i | ||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −6.00000 | + | 10.3923i | −0.242536 | + | 0.420084i | ||||
\(613\) | −7.34847 | − | 4.24264i | −0.296802 | − | 0.171359i | 0.344203 | − | 0.938895i | \(-0.388149\pi\) |
−0.641005 | + | 0.767536i | \(0.721482\pi\) | |||||||
\(614\) | −9.00000 | − | 15.5885i | −0.363210 | − | 0.629099i | ||||
\(615\) | 12.0000 | 0.483887 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 24.0000 | 0.966204 | 0.483102 | − | 0.875564i | \(-0.339510\pi\) | ||||
0.483102 | + | 0.875564i | \(0.339510\pi\) | |||||||
\(618\) | −4.00000 | − | 6.92820i | −0.160904 | − | 0.278693i | ||||
\(619\) | −3.67423 | − | 2.12132i | −0.147680 | − | 0.0852631i | 0.424339 | − | 0.905503i | \(-0.360506\pi\) |
−0.572019 | + | 0.820240i | \(0.693840\pi\) | |||||||
\(620\) | −9.79796 | − | 5.65685i | −0.393496 | − | 0.227185i | ||||
\(621\) | 29.3939 | − | 16.9706i | 1.17954 | − | 0.681005i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 24.0000 | 0.960769 | ||||||||
\(625\) | 0.500000 | + | 0.866025i | 0.0200000 | + | 0.0346410i | ||||
\(626\) | −12.2474 | − | 7.07107i | −0.489506 | − | 0.282617i | ||||
\(627\) | 14.6969 | + | 8.48528i | 0.586939 | + | 0.338869i | ||||
\(628\) | 22.0454 | − | 12.7279i | 0.879708 | − | 0.507899i | ||||
\(629\) | 50.9117i | 2.02998i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −16.0000 | −0.636950 | −0.318475 | − | 0.947931i | \(-0.603171\pi\) | ||||
−0.318475 | + | 0.947931i | \(0.603171\pi\) | |||||||
\(632\) | 19.5959 | − | 11.3137i | 0.779484 | − | 0.450035i | ||||
\(633\) | −12.0000 | + | 20.7846i | −0.476957 | + | 0.826114i | ||||
\(634\) | −16.0000 | + | 27.7128i | −0.635441 | + | 1.10062i | ||||
\(635\) | 2.44949 | − | 1.41421i | 0.0972050 | − | 0.0561214i | ||||
\(636\) | −16.0000 | −0.634441 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 11.3137i | 0.447914i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.00000 | − | 13.8564i | 0.316228 | − | 0.547723i | ||||
\(641\) | 24.0000 | − | 41.5692i | 0.947943 | − | 1.64189i | 0.198194 | − | 0.980163i | \(-0.436492\pi\) |
0.749749 | − | 0.661723i | \(-0.230174\pi\) | |||||||
\(642\) | −9.79796 | + | 5.65685i | −0.386695 | + | 0.223258i | ||||
\(643\) | − | 21.2132i | − | 0.836567i | −0.908317 | − | 0.418284i | \(-0.862632\pi\) | ||
0.908317 | − | 0.418284i | \(-0.137368\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 16.9706i | 0.668215i | ||||||||
\(646\) | 18.0000 | + | 31.1769i | 0.708201 | + | 1.22664i | ||||
\(647\) | −6.00000 | + | 10.3923i | −0.235884 | + | 0.408564i | −0.959529 | − | 0.281609i | \(-0.909132\pi\) |
0.723645 | + | 0.690172i | \(0.242465\pi\) | |||||||
\(648\) | 12.2474 | + | 7.07107i | 0.481125 | + | 0.277778i | ||||
\(649\) | −2.00000 | − | 3.46410i | −0.0785069 | − | 0.135978i | ||||
\(650\) | 18.0000 | 0.706018 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 16.9706i | 0.664619i | ||||||||
\(653\) | −31.8434 | + | 18.3848i | −1.24613 | + | 0.719452i | −0.970335 | − | 0.241765i | \(-0.922274\pi\) |
−0.275792 | + | 0.961217i | \(0.588940\pi\) | |||||||
\(654\) | 14.6969 | + | 8.48528i | 0.574696 | + | 0.331801i | ||||
\(655\) | 1.00000 | − | 1.73205i | 0.0390732 | − | 0.0676768i | ||||
\(656\) | −12.0000 | − | 20.7846i | −0.468521 | − | 0.811503i | ||||
\(657\) | 2.00000 | 0.0780274 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 2.82843i | − | 0.110180i | −0.998481 | − | 0.0550899i | \(-0.982455\pi\) | ||
0.998481 | − | 0.0550899i | \(-0.0175446\pi\) | |||||||
\(660\) | 9.79796 | − | 5.65685i | 0.381385 | − | 0.220193i | ||||
\(661\) | −33.0681 | − | 19.0919i | −1.28620 | − | 0.742588i | −0.308226 | − | 0.951313i | \(-0.599735\pi\) |
−0.977974 | + | 0.208725i | \(0.933069\pi\) | |||||||
\(662\) | 18.0000 | − | 31.1769i | 0.699590 | − | 1.21173i | ||||
\(663\) | 18.0000 | + | 31.1769i | 0.699062 | + | 1.21081i | ||||
\(664\) | 44.0000 | 1.70753 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −12.0000 | −0.464991 | ||||||||
\(667\) | 14.6969 | − | 8.48528i | 0.569068 | − | 0.328551i | ||||
\(668\) | 24.0000 | − | 41.5692i | 0.928588 | − | 1.60836i | ||||
\(669\) | −34.2929 | − | 19.7990i | −1.32584 | − | 0.765473i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −36.0000 | −1.38976 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −46.0000 | −1.77317 | −0.886585 | − | 0.462566i | \(-0.846929\pi\) | ||||
−0.886585 | + | 0.462566i | \(0.846929\pi\) | |||||||
\(674\) | −39.1918 | + | 22.6274i | −1.50961 | + | 0.871576i | ||||
\(675\) | 14.6969 | + | 8.48528i | 0.565685 | + | 0.326599i | ||||
\(676\) | −5.00000 | + | 8.66025i | −0.192308 | + | 0.333087i | ||||
\(677\) | 8.57321 | − | 4.94975i | 0.329495 | − | 0.190234i | −0.326122 | − | 0.945328i | \(-0.605742\pi\) |
0.655617 | + | 0.755094i | \(0.272409\pi\) | |||||||
\(678\) | 24.0000 | 0.921714 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 24.0000 | 0.920358 | ||||||||
\(681\) | −7.00000 | − | 12.1244i | −0.268241 | − | 0.464606i | ||||
\(682\) | −8.00000 | + | 13.8564i | −0.306336 | + | 0.530589i | ||||
\(683\) | −4.89898 | − | 2.82843i | −0.187454 | − | 0.108227i | 0.403336 | − | 0.915052i | \(-0.367851\pi\) |
−0.590790 | + | 0.806825i | \(0.701184\pi\) | |||||||
\(684\) | −7.34847 | + | 4.24264i | −0.280976 | + | 0.162221i | ||||
\(685\) | 8.48528i | 0.324206i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.00000 | −0.228914 | ||||||||
\(688\) | 29.3939 | − | 16.9706i | 1.12063 | − | 0.646997i | ||||
\(689\) | 12.0000 | − | 20.7846i | 0.457164 | − | 0.791831i | ||||
\(690\) | −14.6969 | − | 8.48528i | −0.559503 | − | 0.323029i | ||||
\(691\) | 11.0227 | − | 6.36396i | 0.419323 | − | 0.242096i | −0.275464 | − | 0.961311i | \(-0.588832\pi\) |
0.694788 | + | 0.719215i | \(0.255498\pi\) | |||||||
\(692\) | − | 19.7990i | − | 0.752645i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 20.0000 | 0.759190 | ||||||||
\(695\) | 3.00000 | + | 5.19615i | 0.113796 | + | 0.197101i | ||||
\(696\) | 9.79796 | + | 5.65685i | 0.371391 | + | 0.214423i | ||||
\(697\) | 18.0000 | − | 31.1769i | 0.681799 | − | 1.18091i | ||||
\(698\) | 3.00000 | + | 5.19615i | 0.113552 | + | 0.196677i | ||||
\(699\) | − | 8.48528i | − | 0.320943i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 19.7990i | − | 0.747798i | −0.927470 | − | 0.373899i | \(-0.878021\pi\) | ||
0.927470 | − | 0.373899i | \(-0.121979\pi\) | |||||||
\(702\) | −29.3939 | + | 16.9706i | −1.10940 | + | 0.640513i | ||||
\(703\) | −18.0000 | + | 31.1769i | −0.678883 | + | 1.17586i | ||||
\(704\) | −19.5959 | − | 11.3137i | −0.738549 | − | 0.426401i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 8.48528i | − | 0.319348i | ||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −4.00000 | −0.150329 | ||||||||
\(709\) | 22.0454 | − | 12.7279i | 0.827933 | − | 0.478007i | −0.0252116 | − | 0.999682i | \(-0.508026\pi\) |
0.853144 | + | 0.521675i | \(0.174693\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.00000 | + | 6.92820i | −0.150012 | + | 0.259828i | ||||
\(712\) | 14.6969 | − | 8.48528i | 0.550791 | − | 0.317999i | ||||
\(713\) | 24.0000 | 0.898807 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 16.9706i | 0.634663i | ||||||||
\(716\) | −9.79796 | + | 5.65685i | −0.366167 | + | 0.211407i | ||||
\(717\) | 7.34847 | + | 4.24264i | 0.274434 | + | 0.158444i | ||||
\(718\) | −36.7423 | − | 21.2132i | −1.37121 | − | 0.791670i | ||||
\(719\) | −12.0000 | − | 20.7846i | −0.447524 | − | 0.775135i | 0.550700 | − | 0.834703i | \(-0.314361\pi\) |
−0.998224 | + | 0.0595683i | \(0.981028\pi\) | |||||||
\(720\) | 5.65685i | 0.210819i | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | − | 1.41421i | − | 0.0526316i | ||||||
\(723\) | 12.2474 | − | 7.07107i | 0.455488 | − | 0.262976i | ||||
\(724\) | −22.0454 | − | 12.7279i | −0.819311 | − | 0.473029i | ||||
\(725\) | 7.34847 | + | 4.24264i | 0.272915 | + | 0.157568i | ||||
\(726\) | 3.00000 | + | 5.19615i | 0.111340 | + | 0.192847i | ||||
\(727\) | 8.00000 | 0.296704 | 0.148352 | − | 0.988935i | \(-0.452603\pi\) | ||||
0.148352 | + | 0.988935i | \(0.452603\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −29.0000 | −1.07407 | ||||||||
\(730\) | −2.00000 | − | 3.46410i | −0.0740233 | − | 0.128212i | ||||
\(731\) | 44.0908 | + | 25.4558i | 1.63076 | + | 0.941518i | ||||
\(732\) | −18.0000 | + | 31.1769i | −0.665299 | + | 1.15233i | ||||
\(733\) | −25.7196 | + | 14.8492i | −0.949977 | + | 0.548469i | −0.893074 | − | 0.449910i | \(-0.851456\pi\) |
−0.0569030 | + | 0.998380i | \(0.518123\pi\) | |||||||
\(734\) | 39.5980i | 1.46159i | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 33.9411i | 1.25109i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 7.34847 | + | 4.24264i | 0.270501 | + | 0.156174i | ||||
\(739\) | 36.7423 | + | 21.2132i | 1.35159 | + | 0.780340i | 0.988472 | − | 0.151403i | \(-0.0483792\pi\) |
0.363117 | + | 0.931744i | \(0.381713\pi\) | |||||||
\(740\) | 12.0000 | + | 20.7846i | 0.441129 | + | 0.764057i | ||||
\(741\) | 25.4558i | 0.935144i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −30.0000 | −1.10059 | −0.550297 | − | 0.834969i | \(-0.685485\pi\) | ||||
−0.550297 | + | 0.834969i | \(0.685485\pi\) | |||||||
\(744\) | 8.00000 | + | 13.8564i | 0.293294 | + | 0.508001i | ||||
\(745\) | −8.00000 | + | 13.8564i | −0.293097 | + | 0.507659i | ||||
\(746\) | −24.0000 | + | 41.5692i | −0.878702 | + | 1.52196i | ||||
\(747\) | −13.4722 | + | 7.77817i | −0.492922 | + | 0.284589i | ||||
\(748\) | − | 33.9411i | − | 1.24101i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | − | 22.6274i | − | 0.826236i | ||||||
\(751\) | 11.0000 | + | 19.0526i | 0.401396 | + | 0.695238i | 0.993895 | − | 0.110333i | \(-0.0351919\pi\) |
−0.592499 | + | 0.805571i | \(0.701859\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −13.0000 | + | 22.5167i | −0.473746 | + | 0.820553i | ||||
\(754\) | −14.6969 | + | 8.48528i | −0.535231 | + | 0.309016i | ||||
\(755\) | − | 14.1421i | − | 0.514685i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 25.4558i | − | 0.925208i | −0.886565 | − | 0.462604i | \(-0.846915\pi\) | ||
0.886565 | − | 0.462604i | \(-0.153085\pi\) | |||||||
\(758\) | 18.0000 | + | 31.1769i | 0.653789 | + | 1.13240i | ||||
\(759\) | −12.0000 | + | 20.7846i | −0.435572 | + | 0.754434i | ||||
\(760\) | 14.6969 | + | 8.48528i | 0.533114 | + | 0.307794i | ||||
\(761\) | −15.0000 | − | 25.9808i | −0.543750 | − | 0.941802i | −0.998684 | − | 0.0512772i | \(-0.983671\pi\) |
0.454935 | − | 0.890525i | \(-0.349663\pi\) | |||||||
\(762\) | −4.00000 | −0.144905 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −7.34847 | + | 4.24264i | −0.265684 | + | 0.153393i | ||||
\(766\) | −29.3939 | − | 16.9706i | −1.06204 | − | 0.613171i | ||||
\(767\) | 3.00000 | − | 5.19615i | 0.108324 | − | 0.187622i | ||||
\(768\) | −19.5959 | + | 11.3137i | −0.707107 | + | 0.408248i | ||||
\(769\) | 14.0000 | 0.504853 | 0.252426 | − | 0.967616i | \(-0.418771\pi\) | ||||
0.252426 | + | 0.967616i | \(0.418771\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.48528i | 0.305590i | ||||||||
\(772\) | −4.00000 | − | 6.92820i | −0.143963 | − | 0.249351i | ||||
\(773\) | 28.1691 | + | 16.2635i | 1.01317 | + | 0.584956i | 0.912119 | − | 0.409925i | \(-0.134445\pi\) |
0.101054 | + | 0.994881i | \(0.467778\pi\) | |||||||
\(774\) | −6.00000 | + | 10.3923i | −0.215666 | + | 0.373544i | ||||
\(775\) | 6.00000 | + | 10.3923i | 0.215526 | + | 0.373303i | ||||
\(776\) | − | 28.2843i | − | 1.01535i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.00000 | −0.143407 | ||||||||
\(779\) | 22.0454 | − | 12.7279i | 0.789859 | − | 0.456025i | ||||
\(780\) | 14.6969 | + | 8.48528i | 0.526235 | + | 0.303822i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −44.0908 | + | 25.4558i | −1.57668 | + | 0.910299i | ||||
\(783\) | −16.0000 | −0.571793 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 18.0000 | 0.642448 | ||||||||
\(786\) | −2.44949 | + | 1.41421i | −0.0873704 | + | 0.0504433i | ||||
\(787\) | −33.0681 | − | 19.0919i | −1.17875 | − | 0.680552i | −0.223026 | − | 0.974813i | \(-0.571593\pi\) |
−0.955725 | + | 0.294260i | \(0.904927\pi\) | |||||||
\(788\) | 9.79796 | + | 5.65685i | 0.349038 | + | 0.201517i | ||||
\(789\) | −29.3939 | + | 16.9706i | −1.04645 | + | 0.604168i | ||||
\(790\) | 16.0000 | 0.569254 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 8.00000 | 0.284268 | ||||||||
\(793\) | −27.0000 | − | 46.7654i | −0.958798 | − | 1.66069i | ||||
\(794\) | 15.0000 | − | 25.9808i | 0.532330 | − | 0.922023i | ||||
\(795\) | −9.79796 | − | 5.65685i | −0.347498 | − | 0.200628i | ||||
\(796\) | 20.0000 | + | 34.6410i | 0.708881 | + | 1.22782i | ||||
\(797\) | 26.8701i | 0.951786i | 0.879503 | + | 0.475893i | \(0.157875\pi\) | ||||
−0.879503 | + | 0.475893i | \(0.842125\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −14.6969 | + | 8.48528i | −0.519615 | + | 0.300000i | ||||
\(801\) | −3.00000 | + | 5.19615i | −0.106000 | + | 0.183597i | ||||
\(802\) | −29.3939 | − | 16.9706i | −1.03793 | − | 0.599251i | ||||
\(803\) | −4.89898 | + | 2.82843i | −0.172881 | + | 0.0998130i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −24.0000 | −0.845364 | ||||||||
\(807\) | 5.00000 | + | 8.66025i | 0.176008 | + | 0.304855i | ||||
\(808\) | 14.0000 | − | 24.2487i | 0.492518 | − | 0.853067i | ||||
\(809\) | −6.00000 | + | 10.3923i | −0.210949 | + | 0.365374i | −0.952012 | − | 0.306062i | \(-0.900989\pi\) |
0.741063 | + | 0.671436i | \(0.234322\pi\) | |||||||
\(810\) | 5.00000 | + | 8.66025i | 0.175682 | + | 0.304290i | ||||
\(811\) | − | 12.7279i | − | 0.446938i | −0.974711 | − | 0.223469i | \(-0.928262\pi\) | ||
0.974711 | − | 0.223469i | \(-0.0717381\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 28.2843i | − | 0.991973i | ||||||
\(814\) | 29.3939 | − | 16.9706i | 1.03025 | − | 0.594818i | ||||
\(815\) | −6.00000 | + | 10.3923i | −0.210171 | + | 0.364027i | ||||
\(816\) | −29.3939 | − | 16.9706i | −1.02899 | − | 0.594089i | ||||
\(817\) | 18.0000 | + | 31.1769i | 0.629740 | + | 1.09074i | ||||
\(818\) | 31.1127i | 1.08783i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | − | 16.9706i | − | 0.592638i | ||||||
\(821\) | 19.5959 | − | 11.3137i | 0.683902 | − | 0.394851i | −0.117421 | − | 0.993082i | \(-0.537463\pi\) |
0.801324 | + | 0.598231i | \(0.204129\pi\) | |||||||
\(822\) | 6.00000 | − | 10.3923i | 0.209274 | − | 0.362473i | ||||
\(823\) | −16.0000 | + | 27.7128i | −0.557725 | + | 0.966008i | 0.439961 | + | 0.898017i | \(0.354992\pi\) |
−0.997686 | + | 0.0679910i | \(0.978341\pi\) | |||||||
\(824\) | −9.79796 | + | 5.65685i | −0.341328 | + | 0.197066i | ||||
\(825\) | −12.0000 | −0.417786 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 45.2548i | − | 1.57366i | −0.617167 | − | 0.786832i | \(-0.711720\pi\) | ||
0.617167 | − | 0.786832i | \(-0.288280\pi\) | |||||||
\(828\) | −6.00000 | − | 10.3923i | −0.208514 | − | 0.361158i | ||||
\(829\) | −18.3712 | − | 10.6066i | −0.638057 | − | 0.368383i | 0.145809 | − | 0.989313i | \(-0.453422\pi\) |
−0.783866 | + | 0.620930i | \(0.786755\pi\) | |||||||
\(830\) | 26.9444 | + | 15.5563i | 0.935253 | + | 0.539969i | ||||
\(831\) | −12.0000 | − | 20.7846i | −0.416275 | − | 0.721010i | ||||
\(832\) | − | 33.9411i | − | 1.17670i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | − | 8.48528i | − | 0.293821i | ||||||
\(835\) | 29.3939 | − | 16.9706i | 1.01722 | − | 0.587291i | ||||
\(836\) | 12.0000 | − | 20.7846i | 0.415029 | − | 0.718851i | ||||
\(837\) | −19.5959 | − | 11.3137i | −0.677334 | − | 0.391059i | ||||
\(838\) | −19.0000 | − | 32.9090i | −0.656344 | − | 1.13682i | ||||
\(839\) | 12.0000 | 0.414286 | 0.207143 | − | 0.978311i | \(-0.433583\pi\) | ||||
0.207143 | + | 0.978311i | \(0.433583\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.0000 | 0.724138 | ||||||||
\(842\) | 12.0000 | + | 20.7846i | 0.413547 | + | 0.716285i | ||||
\(843\) | −7.34847 | − | 4.24264i | −0.253095 | − | 0.146124i | ||||
\(844\) | 29.3939 | + | 16.9706i | 1.01178 | + | 0.584151i | ||||
\(845\) | −6.12372 | + | 3.53553i | −0.210663 | + | 0.121626i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 22.6274i | 0.777029i | ||||||||
\(849\) | 9.00000 | + | 15.5885i | 0.308879 | + | 0.534994i | ||||
\(850\) | −22.0454 | − | 12.7279i | −0.756151 | − | 0.436564i | ||||
\(851\) | −44.0908 | − | 25.4558i | −1.51141 | − | 0.872615i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 4.24264i | − | 0.145265i | −0.997359 | − | 0.0726326i | \(-0.976860\pi\) | ||
0.997359 | − | 0.0726326i | \(-0.0231401\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −6.00000 | −0.205196 | ||||||||
\(856\) | 8.00000 | + | 13.8564i | 0.273434 | + | 0.473602i | ||||
\(857\) | −21.0000 | + | 36.3731i | −0.717346 | + | 1.24248i | 0.244701 | + | 0.969599i | \(0.421310\pi\) |
−0.962048 | + | 0.272882i | \(0.912023\pi\) | |||||||
\(858\) | 12.0000 | − | 20.7846i | 0.409673 | − | 0.709575i | ||||
\(859\) | 40.4166 | − | 23.3345i | 1.37900 | − | 0.796164i | 0.386957 | − | 0.922098i | \(-0.373526\pi\) |
0.992039 | + | 0.125934i | \(0.0401927\pi\) | |||||||
\(860\) | 24.0000 | 0.818393 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 8.48528i | 0.289010i | ||||||||
\(863\) | −12.0000 | − | 20.7846i | −0.408485 | − | 0.707516i | 0.586235 | − | 0.810141i | \(-0.300609\pi\) |
−0.994720 | + | 0.102624i | \(0.967276\pi\) | |||||||
\(864\) | 16.0000 | − | 27.7128i | 0.544331 | − | 0.942809i | ||||
\(865\) | 7.00000 | − | 12.1244i | 0.238007 | − | 0.412240i | ||||
\(866\) | −2.44949 | + | 1.41421i | −0.0832370 | + | 0.0480569i | ||||
\(867\) | − | 26.8701i | − | 0.912555i | ||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 22.6274i | − | 0.767583i | ||||||
\(870\) | 4.00000 | + | 6.92820i | 0.135613 | + | 0.234888i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 12.0000 | − | 20.7846i | 0.406371 | − | 0.703856i | ||||
\(873\) | 5.00000 | + | 8.66025i | 0.169224 | + | 0.293105i | ||||
\(874\) | −36.0000 | −1.21772 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 5.65685i | 0.191127i | ||||||||
\(877\) | −36.7423 | + | 21.2132i | −1.24070 | + | 0.716319i | −0.969237 | − | 0.246130i | \(-0.920841\pi\) |
−0.271464 | + | 0.962449i | \(0.587508\pi\) | |||||||
\(878\) | −34.2929 | − | 19.7990i | −1.15733 | − | 0.668184i | ||||
\(879\) | 17.0000 | − | 29.4449i | 0.573396 | − | 0.993151i | ||||
\(880\) | −8.00000 | − | 13.8564i | −0.269680 | − | 0.467099i | ||||
\(881\) | −18.0000 | −0.606435 | −0.303218 | − | 0.952921i | \(-0.598061\pi\) | ||||
−0.303218 | + | 0.952921i | \(0.598061\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 50.9117i | 1.71331i | 0.515886 | + | 0.856657i | \(0.327463\pi\) | ||||
−0.515886 | + | 0.856657i | \(0.672537\pi\) | |||||||
\(884\) | 44.0908 | − | 25.4558i | 1.48293 | − | 0.856173i | ||||
\(885\) | −2.44949 | − | 1.41421i | −0.0823387 | − | 0.0475383i | ||||
\(886\) | −16.0000 | + | 27.7128i | −0.537531 | + | 0.931030i | ||||
\(887\) | −24.0000 | − | 41.5692i | −0.805841 | − | 1.39576i | −0.915722 | − | 0.401813i | \(-0.868380\pi\) |
0.109881 | − | 0.993945i | \(-0.464953\pi\) | |||||||
\(888\) | − | 33.9411i | − | 1.13899i | ||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 12.0000 | 0.402241 | ||||||||
\(891\) | 12.2474 | − | 7.07107i | 0.410305 | − | 0.236890i | ||||
\(892\) | −28.0000 | + | 48.4974i | −0.937509 | + | 1.62381i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 19.5959 | − | 11.3137i | 0.655386 | − | 0.378387i | ||||
\(895\) | −8.00000 | −0.267411 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −36.0000 | −1.20201 | ||||||||
\(898\) | 22.0454 | − | 12.7279i | 0.735665 | − | 0.424736i | ||||
\(899\) | −9.79796 | − | 5.65685i | −0.326780 | − | 0.188667i | ||||
\(900\) | 3.00000 | − | 5.19615i | 0.100000 | − | 0.173205i | ||||
\(901\) | −29.3939 | + | 16.9706i | −0.979252 | + | 0.565371i | ||||
\(902\) | −24.0000 | −0.799113 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 33.9411i | − | 1.12887i | ||||||
\(905\) | −9.00000 | − | 15.5885i | −0.299170 | − | 0.518178i | ||||
\(906\) | −10.0000 | + | 17.3205i | −0.332228 | + | 0.575435i | ||||
\(907\) | 29.3939 | + | 16.9706i | 0.976008 | + | 0.563498i | 0.901062 | − | 0.433689i | \(-0.142788\pi\) |
0.0749452 | + | 0.997188i | \(0.476122\pi\) | |||||||
\(908\) | −17.1464 | + | 9.89949i | −0.569024 | + | 0.328526i | ||||
\(909\) | 9.89949i | 0.328346i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 30.0000 | 0.993944 | 0.496972 | − | 0.867766i | \(-0.334445\pi\) | ||||
0.496972 | + | 0.867766i | \(0.334445\pi\) | |||||||
\(912\) | −12.0000 | − | 20.7846i | −0.397360 | − | 0.688247i | ||||
\(913\) | 22.0000 | − | 38.1051i | 0.728094 | − | 1.26110i | ||||
\(914\) | −34.2929 | − | 19.7990i | −1.13431 | − | 0.654892i | ||||
\(915\) | −22.0454 | + | 12.7279i | −0.728799 | + | 0.420772i | ||||
\(916\) | 8.48528i | 0.280362i | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 48.0000 | 1.58424 | ||||||||
\(919\) | 8.00000 | + | 13.8564i | 0.263896 | + | 0.457081i | 0.967274 | − | 0.253735i | \(-0.0816592\pi\) |
−0.703378 | + | 0.710816i | \(0.748326\pi\) | |||||||
\(920\) | −12.0000 | + | 20.7846i | −0.395628 | + | 0.685248i | ||||
\(921\) | −9.00000 | + | 15.5885i | −0.296560 | + | 0.513657i | ||||
\(922\) | 11.0000 | + | 19.0526i | 0.362266 | + | 0.627463i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 25.4558i | − | 0.836983i | ||||||
\(926\) | −39.1918 | + | 22.6274i | −1.28792 | + | 0.743583i | ||||
\(927\) | 2.00000 | − | 3.46410i | 0.0656886 | − | 0.113776i | ||||
\(928\) | 8.00000 | − | 13.8564i | 0.262613 | − | 0.454859i | ||||
\(929\) | −9.00000 | − | 15.5885i | −0.295280 | − | 0.511441i | 0.679770 | − | 0.733426i | \(-0.262080\pi\) |
−0.975050 | + | 0.221985i | \(0.928746\pi\) | |||||||
\(930\) | 11.3137i | 0.370991i | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −12.0000 | −0.393073 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.00000 | − | 8.66025i | 0.163605 | − | 0.283372i | ||||
\(935\) | 12.0000 | − | 20.7846i | 0.392442 | − | 0.679729i | ||||
\(936\) | 6.00000 | + | 10.3923i | 0.196116 | + | 0.339683i | ||||
\(937\) | 2.00000 | 0.0653372 | 0.0326686 | − | 0.999466i | \(-0.489599\pi\) | ||||
0.0326686 | + | 0.999466i | \(0.489599\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.1421i | 0.461511i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −45.3156 | − | 26.1630i | −1.47725 | − | 0.852888i | −0.477575 | − | 0.878591i | \(-0.658484\pi\) |
−0.999670 | + | 0.0257029i | \(0.991818\pi\) | |||||||
\(942\) | −22.0454 | − | 12.7279i | −0.718278 | − | 0.414698i | ||||
\(943\) | 18.0000 | + | 31.1769i | 0.586161 | + | 1.01526i | ||||
\(944\) | 5.65685i | 0.184115i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | − | 33.9411i | − | 1.10352i | ||||||
\(947\) | −2.44949 | + | 1.41421i | −0.0795977 | + | 0.0459558i | −0.539271 | − | 0.842133i | \(-0.681300\pi\) |
0.459673 | + | 0.888088i | \(0.347967\pi\) | |||||||
\(948\) | −19.5959 | − | 11.3137i | −0.636446 | − | 0.367452i | ||||
\(949\) | −7.34847 | − | 4.24264i | −0.238541 | − | 0.137722i | ||||
\(950\) | −9.00000 | − | 15.5885i | −0.291999 | − | 0.505756i | ||||
\(951\) | 32.0000 | 1.03767 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 18.0000 | 0.583077 | 0.291539 | − | 0.956559i | \(-0.405833\pi\) | ||||
0.291539 | + | 0.956559i | \(0.405833\pi\) | |||||||
\(954\) | −4.00000 | − | 6.92820i | −0.129505 | − | 0.224309i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 6.00000 | − | 10.3923i | 0.194054 | − | 0.336111i | ||||
\(957\) | 9.79796 | − | 5.65685i | 0.316723 | − | 0.182860i | ||||
\(958\) | 16.9706i | 0.548294i | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −16.0000 | −0.516398 | ||||||||
\(961\) | 7.50000 | + | 12.9904i | 0.241935 | + | 0.419045i | ||||
\(962\) | 44.0908 | + | 25.4558i | 1.42154 | + | 0.820729i | ||||
\(963\) | −4.89898 | − | 2.82843i | −0.157867 | − | 0.0911448i | ||||
\(964\) | −10.0000 | − | 17.3205i | −0.322078 | − | 0.557856i | ||||
\(965\) | − | 5.65685i | − | 0.182101i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −22.0000 | −0.707472 | −0.353736 | − | 0.935345i | \(-0.615089\pi\) | ||||
−0.353736 | + | 0.935345i | \(0.615089\pi\) | |||||||
\(968\) | 7.34847 | − | 4.24264i | 0.236189 | − | 0.136364i | ||||
\(969\) | 18.0000 | − | 31.1769i | 0.578243 | − | 1.00155i | ||||
\(970\) | 10.0000 | − | 17.3205i | 0.321081 | − | 0.556128i | ||||
\(971\) | −28.1691 | + | 16.2635i | −0.903990 | + | 0.521919i | −0.878493 | − | 0.477756i | \(-0.841450\pi\) |
−0.0254978 | + | 0.999675i | \(0.508117\pi\) | |||||||
\(972\) | 19.7990i | 0.635053i | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | − | 2.82843i | − | 0.0906287i | ||||||
\(975\) | −9.00000 | − | 15.5885i | −0.288231 | − | 0.499230i | ||||
\(976\) | 44.0908 | + | 25.4558i | 1.41131 | + | 0.814822i | ||||
\(977\) | 9.00000 | − | 15.5885i | 0.287936 | − | 0.498719i | −0.685381 | − | 0.728184i | \(-0.740364\pi\) |
0.973317 | + | 0.229465i | \(0.0736978\pi\) | |||||||
\(978\) | 14.6969 | − | 8.48528i | 0.469956 | − | 0.271329i | ||||
\(979\) | − | 16.9706i | − | 0.542382i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 8.48528i | 0.270914i | ||||||||
\(982\) | −28.0000 | − | 48.4974i | −0.893516 | − | 1.54761i | ||||
\(983\) | 6.00000 | − | 10.3923i | 0.191370 | − | 0.331463i | −0.754334 | − | 0.656490i | \(-0.772040\pi\) |
0.945705 | + | 0.325027i | \(0.105374\pi\) | |||||||
\(984\) | −12.0000 | + | 20.7846i | −0.382546 | + | 0.662589i | ||||
\(985\) | 4.00000 | + | 6.92820i | 0.127451 | + | 0.220751i | ||||
\(986\) | 24.0000 | 0.764316 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 36.0000 | 1.14531 | ||||||||
\(989\) | −44.0908 | + | 25.4558i | −1.40201 | + | 0.809449i | ||||
\(990\) | 4.89898 | + | 2.82843i | 0.155700 | + | 0.0898933i | ||||
\(991\) | 8.00000 | − | 13.8564i | 0.254128 | − | 0.440163i | −0.710530 | − | 0.703667i | \(-0.751545\pi\) |
0.964658 | + | 0.263504i | \(0.0848781\pi\) | |||||||
\(992\) | 19.5959 | − | 11.3137i | 0.622171 | − | 0.359211i | ||||
\(993\) | −36.0000 | −1.14243 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 28.2843i | 0.896672i | ||||||||
\(996\) | −22.0000 | − | 38.1051i | −0.697097 | − | 1.20741i | ||||
\(997\) | 18.3712 | + | 10.6066i | 0.581821 | + | 0.335914i | 0.761857 | − | 0.647746i | \(-0.224288\pi\) |
−0.180036 | + | 0.983660i | \(0.557621\pi\) | |||||||
\(998\) | 12.0000 | − | 20.7846i | 0.379853 | − | 0.657925i | ||||
\(999\) | 24.0000 | + | 41.5692i | 0.759326 | + | 1.31519i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))